{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.patches as mpatches\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "from scipy.stats import norm\n", "from sklearn.manifold import TSNE\n", "\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# From Gaussian Algebra to Gaussian Processes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Most **introductory tutorials** on Gaussian processes start with a nose-punch of **fancy statements**, like:\n", "\n", "- A Gaussian process (GP) defines a distribution over functions.\n", "- A Gaussian process is non-parametric, i.e. it has an infinite number of parameters (duh?).\n", "- Marginalizing a Gaussian over a subset of its elements gives another Gaussian.\n", "- Conditioning a subset of the elements of a Gaussian on another subset of its elements gives another Gaussian.\n", "\n", "They continue with **fancy terms**, like:\n", "\n", "- Kernels\n", "- Posterior over functions \n", "- Squared-exponentials\n", "- Covariances\n", "\n", "**Is this really supposed to make sense to the GP beginner?**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following is the introductory tutorial on GPs that I wish I'd had myself. The goal is pedagogy — not the waving of **fancy words**.\n", "\n", "By the end of this tutorial, you should understand:\n", "- **What a Gaussian process is and how to build one in NumPy** — including those cool, swirly error blobs.\n", "- **The motivations behind their functional form**, i.e. how the GP comes to be.\n", "- The **fancy statements** above.\n", "- The **fancy words** above.\n", "\n", "Let's get started." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Playing with Gaussians\n", "\n", "Before moving within 500 nautical miles of the Gaussian process, we're going to start with something far easier: vanilla Gaussians themselves. This will help us to build intuition. **We'll arrive at the GP before you realize.**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Gaussian distribution, a.k.a. the Normal distribution, can be thought of as a Python object which:\n", "\n", "- Is instantiated with characteristic parameters `mu` (the mean) and `var` (the variance).\n", "- Has a single public method, `density`, which accepts a `float` value `x`, and returns a `float` proportional to the probability of this `Gaussian` having produced `x`." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "class Gaussian:\n", " \n", " def __init__(self, mu, var):\n", " self.mu = mu\n", " self.var = var\n", " self.stddev = np.sqrt(var) # the standard deviation is the square-root of the variance\n", " \n", " def density(self, x):\n", " \"\"\"\n", " NB: Understanding the two bullet points above is more important than understanding the following line.\n", " \n", " That said, it's just the second bullet in code, via SciPy.\n", " \"\"\"\n", " return norm(loc=self.mu, scale=self.stddev).pdf(x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So, how do we make those cool bell-shaped plots? **A 2D plot is just a list of tuples — each with an `x`, and a corresponding `y` — shown visually.**\n", "\n", "As such, we lay out our `x`-axis, then compute the corresponding `y` — the `density` — for each. We'll choose an arbitrary `mu` and `variance`." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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cSVIJWWSGziIjSfk1UmRWA4f1en8i8Giv919EMTszr1ZqDgK+GxFvTCnd3ffB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\nUqs47C9JQ3TJJTBuHPzjP+ZOIpXTl78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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gaussian = Gaussian(mu=.123, var=.456)\n", "\n", "x = np.linspace(-5, 5, 100)\n", "y = [gaussian.density(xx) for xx in x]\n", "\n", "plt.figure(figsize=(14, 9))\n", "plt.plot(x, y)\n", "_ = plt.title('`Gaussian(mu=.123, var=.456)` Density')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we increase the variance `var`, what happens?" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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D1SSpyl1/Pay+Ouy2W+4kqha9eqUFKoYOzZ1EkvKykyNJFWjaNPje9+DBB6Fr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\ntMn7ge2iJklSWSutBIMGQdeusPfeMHt26USqJhY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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bigger_number = 3.45\n", "\n", "gaussian = Gaussian(mu=.123, var=bigger_number)\n", "\n", "x = np.linspace(-5, 5, 100)\n", "y = [gaussian.density(xx) for xx in x]\n", "\n", "plt.figure(figsize=(14, 9))\n", "plt.plot(x, y)\n", "_ = plt.title('`Gaussian(mu=.123, var=bigger_number)` Density')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The density gets fatter. This should be familiar to you." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Similarly, we can draw *samples* from a `Gaussian` distribution, e.g. from the initial `Gaussian(mu=.123, var=.456)` above. Its corresponding density plot (also above) governs this procedure, where `(x, y)` tuples give the (unnormalized) probability `y` that a given sample will take the value `x`. \n", "\n", "`x`-values with large corresponding `y`-values are more likely to be sampled. Here, values near .123 are most likely to be sampled. \n", "\n", "Let's add a method to our class, draw 500 samples, then plot their histogram." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def sample(self):\n", " return norm(loc=self.mu, scale=self.stddev).rvs()\n", "\n", "\n", "# Add method to class\n", "Gaussian.sample = sample\n", "\n", "# Instantiate new Gaussian\n", "gaussian = Gaussian(mu=.123, var=.456)\n", "\n", "# Draw samples\n", "samples = [gaussian.sample() for _ in range(500)]\n", "\n", "# Plot\n", "plt.figure(figsize=(14, 9))\n", "pd.Series(samples).hist(grid=False, bins=15)\n", "_ = plt.title('Histogram of 500 samples from `Gaussian(mu=.123, var=.456)`')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This looks similar to the true `Gaussian(mu=.123, var=.456)` density we plotted above. The more random samples we draw (then plot), the closer this histogram will approximate (look similar to) the true density.\n", "\n", "Now, we'll start to move a bit faster." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2D Gaussians" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We just drew samples from a 1-dimensional Gaussian, i.e. the `sample` itself was a single float. The parameter `mu` dictated the most-likely value for the `sample` to assume, and the variance `var` dictated how much these sample-values vary (hence the name variance).\n", "\n", "```python\n", ">>> gaussian.sample()\n", "-0.5743030051553177\n", ">>> gaussian.sample()\n", "0.06160509014194515\n", ">>> gaussian.sample()\n", "1.050830033400354\n", "```\n", "\n", "In 2D, each sample will be a list of two numbers. `mu` will dictate the most-likely pair of values for the `sample` to assume, and the second parameter (yet unnamed) will dictate:\n", "1. How much the values in the first element of the list vary\n", "2. How much the values in the second element of the list vary\n", "3. How much the first and second elements vary with each other, e.g. if the first element is larger than expected, to what extent does the second element \"follow suit\" (and assume a value larger than expected as well)?\n", "\n", "The second parameter is the **covariance matrix**, `cov`. The elements on the diagonal give Items 1 and 2. The elements off the diagonal give Item 3. The covariance matrix is always square, and its values are always non-negative.\n", "\n", "Given a 2D `mu` and 2x2 `cov`, we can draw samples from the 2D Gaussian. Here, we'll use NumPy. Inline, we comment on the expected shape of the samples." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/usr/local/lib/python3.6/site-packages/ipykernel_launcher.py:7: RuntimeWarning: covariance is not positive-semidefinite.\n", " import sys\n" ] }, { "data": { "image/png": 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O0844DfsP7geaEFZr07c9v2tM8l28GhrO0BAREVFBMPMT7bC6Fe0mW89lb3rN\nACVzjQI1Sf4Kv/pASL2NWdc3MG6v14spZVOC4wr8b9HMIlPHR8ZiDU2B4Hp0Mgpji4zAuMp9Vih+\nj2RmXBlRyB16jfVsfJDodxerqYBZRfehXC4XDo0cAvYibHwTQxOGjY/vV+ZjQkNERES6skrxu9Xo\nWcgdeY1f7XlVlyQjmd+dlbtsOZ1OPL7+cZSIEqANwI+B0idL0bYuvfFZMTGnyVhDQ0RElOOstLu7\nFesr8k2sa/zAvQ/g6muvDivqDyRNRtTGpBJ3kc81OmYVRUFPTw8AoLq6Oq1zmNn4gCbjPjRERER5\nymqzIVba8yVfxbrGp1WfFnUGKNkYSfV353Q6UVNTkzBZiDz/lVdeaXjMOp1OLF68GIsXL057ZiZQ\nkzTcNAz/Uj/czW7O1FgUE5oCwfWdZBTGFhmBcZUcK950Wbm+Il/iKt41jkwyUokRI3530c7/cOvD\n8H/NOjEbTSrJXb7EVS5jQkNERJSjrDgbYuX6inyRyjVOJUaM+N1FOz8cAEoTj8dMVk7MaTLW0BAR\nEeUoK9erWKmux0oyqTtJ51jpxIiev7to50cbgKUATkhuPGbxdHombTTKGhrzxKuhYUJDRESUw3jT\nlRsURUHrulasuXsNSo9MXGSuZ0G62TESeX73MjfanmjLiZgt9MTcSq+fCQ2hu7sbtbW1Zg+D8hBj\ni4zAuEqNlW46rMysuPJ4PLh0xaXYf2A/4EbCmZJMZt5ixYLZMRKry5ndbsfo6GhOx26+vl9Zrcsb\nu5wRERHlsWS7TVH2BYri9y/eD8xGUrUs6dZGxetmZnaMRJ7f6XSit7cXp595umU69EUq5D1orNhw\nJB4mNAUiHz85IGtgbJERGFdkhHTiKtOb2mByMg/AEJIqMk+nIF3PG9Bs3Mhb/YY5lXbo+fh+ZcWG\nI/EwoSEiIiKKQo89foLJyQiA8wG0A/gxYNsQu4NYOt3G9LoBzca+RoqioLOzE8IhLHnDbPVkKxty\nrcsbE5oCwR7pZBTGFhmBcUVGSCWu9LqpDUtO/teBacXTcPs1t6Nve1/ceoTGhsaom2TGoscNaDZu\n5D0eD+a45uCqW67CR/0fWfKGOdXkMB/fr3Kt/Xqx2QMgIiIisprATa2/wq8+EHJTm+pNXWNDI+rr\n6lMuync6nUm3aw7cgEZ2M0tlrHq+5mgURYG72Y2xS8bUZOFFAI8BcAC2cRva1lnjhjksOdSaMlgl\n2cqmdOPf3h44AAAgAElEQVTWDOxyRkRERBTBqnv8JOo8lW43M0VR0NPTg69c8BXsv3g/UAZgOzDt\n+WnY8Y8durxmr9eLhRcsxD73vsMPPgJMOzQNv+j4BRYvXpzxOfRiZqvrWB3hrJ5UGI1tm4mIiIhS\nZPb+LZGMSrJCk6R9/ftw8MBBdQ1PGVD8UTGe/MmTurxuRVFQOa8S/otCNtlsB6YV65c0pTsuq7S6\njkxYA3v2WKV1spmY0FDe9kgn8zG2yAiMKzJCOnFlpU/HvV4vFi1ZhOGm4eBjjnYHujZ1oaamJq1j\nRkuS8BiAiwCcoH5t22BD33Z9ZqY8nR40uZswNk1tlFAypQS33HwLmlc0m3J99dhrRa/3q0m/i3cA\ndCCpvYsKAfehISIiIkqD2fu3hDKi81S0Ang4AJQe/rpoZpFu3ccaGxrxnu89POd5Diu/vxJTiqfg\nvsfuM2UfGqt1M5v0uyiF+rtIojlBIe+ZAzChKRj8pJOMwtgiIzCuyAi5HldGdJ6KliThQwBjh7+e\nGJrQtSDe6XSiuroaDz7yIPZfvD+pZMKIG3a9Wl3rFVeTfhdjUH8XCRLYbLTatjomNEREREQWFXkj\nn2o750RCk6Syx8tQ8kQJBIS61OnHQOmTpbp3H1MUBc8++yyKZxQnlUwYdcNutb1WJiWsP7fhipYr\n4iawVptlMgsTmgKRjz3SyRoYW2QExhUZIdfiKtaNvN7L4BobGvHAPQ9gbM8Yps2ehmm2aVj5g5V4\nzvMc3vO9p2sReuA1XbnqSoz0j6itm4GYyYSRN+x6zXjpGVeRCetDP34obgKr1yxTruM+NEREREQa\nqzQBCL2R91f4gX7A3exGfV297uNSFAVXX3c1DnzzAA5UHAD6gQf//UFcc/U1us/MBF5TsAFBG2B/\ny45Dw4eiJhNG741jxb1WIvcfirUfEcA9cwI4Q1Mgcn3dMFkXY4uMwLgiIySKKyvVImTzk/dsnSva\necqOKcPDtz8cc/lcNpaFZTrjZeb7lRF1VbmIbZuJiIio4FltI81sjkevcyWa3Ur3PFbbD8iKrDKz\naCS2baacWzdMuYOxRUZgXJER4sWVGbUI8Tp3ZfOTdz3OlczsVrrnybQRQrzrrEf3NCu8X1mpvbgZ\nWENDREREBS/btQjJbOiYzfqOTM6VSr1PuueJV0cST7zrrMemmmQNXHJGREREhOwtbbLa8rZMeb1e\nLFqyCMNNw8HHHO0OdG3qQk1NjWnjinedAeTV76AQxFtyxhkaIiIiImRvRsTozl3ZZtVOW/GuM4C8\n+h0UOtbQFAgrrO+k/MTYIiMwrsgIycRVNmoRrLahY6as2mkr3nXW83eQ7vuVHvU7pGJCQ0RERJRF\n6SQAVr/5zbRw3wjxrrPZSZiVWoTnA9bQEBEREaVIjza5yR6DxeuZiXed9W53nMzx8q2GKlvi1dAw\noSEiIiJKQTYTDN785o5k48KqTRSsjvvQENejk2EYW2QExhUZQY+4Cm1RPNw0DP9SP9zNbsOWgpmx\nPw6lpru7O6W4yLcaKitgQkNERESUpGwnGLz5zQ2pxIXZ9Tv5iEvOiIiIiJJkxhKwbO2PQ+lLJy70\nrt/Jd6yhISIiItKJGQkGb36tj4mnsZjQELq7u1FbW2v2MCgPMbbICIwrMoKeccUEgwJC44pxYZx4\nCU1xtgdDRERElOsCe5kQhWJcmIMzNEREREREZGls20xERERERHmJCU2B4J4OZBTGFhmBcUVGYFyR\nERhX5mNCQ0REREQFSVEUeL1ewzZGpexgDQ0RERERFRyPxwN3ixul5aUYGxxjm2WLY9tmIiIiIiKN\nGRukUmbYFIC4vpMMw9giIzCuyAiMKwrw+XwoLS9VkxkAqABKykvg8/lSPhbjynxMaIiIiIiooLhc\nLowNjgH92gP9wPjgOFwul5nDojRxyRkRERFRhrhDvLnSuf6eTg/czW6UlJdgfHCcNTQWxxoaIiIi\nIoNYrbi80JKrTK5/oV2rXMaEhtDd3Y3a2lqzh0F5iLFVGLL9f/qMKzKCEXFlteJyqyVXRrPC9ef7\nVXawKQAREaVto8eDk+ZXouWiRThpfiU2dnrMHhKRZehZXJ4pRVHgbnHDv9SP4aZh+Jf64W525/Ue\nK1a6/mQeztAQEVFMiqLgpPmV2LLSj1PmAq/tABauteHNt9nalAiwxgxBgNfrxaIlizDcNBx8zNHu\nQNemLtTU1GR1LNlipetPxuIMDRERpcXn88F1VClOmat+fcpcoPIofvpJFOB0OtHW2gZbhw2Odgds\nHTa0tbaZcjNdiJ27rHT9yTxMaAoEe6STURhb+c3lcsE3MIbXdqhfv7YD6Bsw/gaJcUVGMCquGhsa\n0dfbh65NXejr7TOtZqVQb+7Nvv58vzJfsdEnEEL4AAwDmAAwLqU8w+hzEhGRPpxOJx55tA0LW9yo\nPKoEfQPjeOTR/L9BIkqV0+m0xN9FY0Mj6uvqC65zl1WuP5nD8BoaIcQ/AJwupdwb4/usoSEisji2\nNiUiKmxm//+A2TU0IkvnISIigzidTtTU1DCZIaKoFEWB1+vN645qhczj8aCyqhKLlixCZVUlPBbr\ndpmNREMCeE4I4RVCLM/C+SgKru8kozC2yAiMKzIC48oY2b7ZtVrylO9xlQvtwA2voQHwGSllvxDC\nCeC3Qoi/SSlfDH1CU1NTsMB05syZOPXUU4MbFAWChF9n9nWAVcbDr/Pn623btllqPPyaXxvxtaIo\n2Lx5MyoqKvDVr341K+d/5pln0N/fjwsuuABOp9NS1yNXv+b7lf5ff+ITn1Bvds/xw1/uB2yAu9kN\n2zQbZs6cqfv5PvjgA7hb3CiyFWF8ZBztbe1obGi0zPXIx699Ph+KbEWAH6oKQNgENm/ejJaWFsPO\nv23bNgwNDQFAws6aWd2HRgixCsCIlPLfQh5jDQ0REVnWRo8Hl3/bDddRpfANjOGRR9twocFdlMw4\nJ1E6srn3DfecMYdVrnu8GhpDZ2iEEEcAKJJSjgohpgNYDOBWI89JRES5y+yi02jjufzbbm1jUb+6\nsWiLG+fW1es+vsBrt9vtWTsnUabC9r7RbnaN2vvG5/OhtLwU/gptqqACKClX98Xi34ZxAu3A3c1u\nlJSXYHxw3HLtwIsMPv7RAF4UQvQAeBnAL6WUzxt8TooiMJVHpDfGFullo8eDk+ZXouWiRZh3whxs\nDFmHb9aa+dCNRZUPgQPjwLHlU+Dz+XQdU+hr/8z/q8aMI8DNTA3A9yv9ZXPvG6tuHFoIcWX2Xj+J\nGDpDI6V8B8CpRp6DiIhyX+RMSFs3cLk2K/H7ri7Tll8FNha951fA3b8Eji8HtveP4rF1j+KnT3t0\nGVO0WaAzVwHdbwC1J2dvM1OidGVr75tcmCnIZ1be6yerNTRRB8AaGiKiguf1etFy0SK8svrwOvzT\nVjuw9uGn0bjkq9rNvnpzv3CtDW++beza7dClb8/8/Gf47pUtePlWdbak+w3gvHsR/DrTMUV77Z+6\nyYYdygTmHTs1uJkpa2iIVFZbmkrZYfY+NEREVCDSXYYVmAl5bYf6dWBWAkBwyReQneVXocu/Tppf\nCUVRcNLcsuAYpk8Fjj9SvyVh0V77+3uBl709aN3QhTff7mMyU+Cs1qbYbNwXiyIxoSkQhbC+k8zB\n2KKAyERgYwp7UTidTjzyaBsWrrXhtNUOnH1HKR55tA3V1dVREx2jll+FLv96ZfUwtqz04/571uCd\nXePBMew7ALy7B7qNKfK1L1xrwyOPtmHBggW8adNZLr5fWX1DQ8rNuMo32diHhoiI8pwe3cAubGjE\nudo6/J07dwb3e3nk0TYsbHGj8qiS4PKrZI6ZzrKUw00A1C5Kp8wFKo8uwTeWXYuFa9cEx7C82Y2F\na9tSHlMyr53LaCggdENDf4Uf6Ff3eKlnxzuiMKyhISKijMWqgWndoM9eFKkmJ+nu46IoCk6aXxm1\nZgdA2BiytY6f9QKFK5t7vBBZnWn70BARUWEIrQMJJAJ6Lg1LpbtOJrNFweVfMWaEsp24cIPNwpbN\nPV6IchlraAoE13eSURhbBMSuA0k3AcgkrkL3jgFSL9q/sKERb77dF7cgP5N6oWiiHS9aPc/lLW4W\nhmcg196vUt3jhc0DzJFrcZWPOENDRES6sEodiB6zRfFmhPSoF0rmeJ5Nz0yu5zmKu6IXmmT3ePF4\nPHC3uFFaXoqxwTG0tbZZbvNDIqMwoSkQtbW1Zg+B8hRji0LptfFaJnHldDpx8TfdOHPVw5hTDrw3\nCCxvduuWBERtHJBBohHreAAMXcZXiHL1/SrR3xWbB5grV+Mqn3DJGRER5RVFUfCfT7Xh2WuBDZcD\nz14L/OeTbbotw4m1Z066iUas41VXV+u6jC8ZXLKUm3w+H0rLS9U6GwCoAErKS9DT08PfJxUEJjQF\ngus7ySiMLTJCsnEV7QY8MONRezJQMw+oPVnfzTj1rheKd7xk6nn0onddkBXl6/tVWPMAAOgH/Lv8\n+Oo3vsr9a7IgX+Mql3DJGRERWVKidsWxOoAZ3XEN0KdeKPT1xTueXsv4Eo1Fz7ogyq5A8wB3sxsl\n5SUY2z2GCTEB/0XWWoLGFuRkFM7QFAiu7ySjMLYoE7GWOO364IO4swXxOoDpPYMSi9PpRE1NTVrH\njTYbkurx9FwelmlnuFyRz+9XjQ2N6OvtQ9emLvxi8y9gO8o2aQmamb9Pj8eDyqrKpGaMcm3pYz7H\nVa7gxppERGSKWDMs8Ta3DNzsJ7ORp1U/DU7m9SWi9/40eoyJrENRFFRWVcK/1B/cv8bWYUNfrzm/\nz1TGk2vd2qz6PpOP4m2syRmaAsH1nWQUxhalI94Mi8/nw5H2orizBckU5mcyg2KkTGdDjNifJluz\nWmYrlPerVPevMVqspgWRMR/arW24aRj+pX64m62791Jg1mnhlxeyTslkrKEhIqKsi9f62OVyoX9o\nPG4NTPAGvMWNyqNK0DcwbugNuJ6fwtrtdvyjf3/aNT56t40OsMo+QqSPZPevyYawpgXaDM344OSY\nDyQ+/go1tkMTH6vFY2jyBT8AmzXqlAoVE5oCwfWdZBTGFqUjXuG+0+nE+sfaEyYrRtyAR0tc9Fze\nFTjWLHsRzlwFzDvWhvf3IqVkzMimB9loQGCmQnu/ssrvM7JpwfjgeNQZo2QTHyuYlHzBuslXIWAN\nDRERmWJjpweXRyQtoYlCMrMies6cREtczq2r1622JLJOpfsN4Cs/moqXvT1YsGBBamNNcO2IrCiZ\nv1dPp2dS4mPFGhqr1SkVgng1NExoCkR3d3fBfTJF2cHYokzEusGJF1eBn9nW8ypWXne1LjMnsYri\nPZuewQ1XLInbfCBZyTQySHXMVlhOlEv4fpUbciW2A8mXsAlIv7Rs8pUv4iU0XHJGRESmSXVJTGAW\n5bjyYrz93gjalgOLPuXHB0OZ7ZsSrS5lzpFFGBoa0m15l95LxayynIhIb7kS24E6pc2bN+OCCy7I\niTHnK87QEBFRTgidRfnVq8CdvwBOOhbw7QYeaQLufi6z2Y7IGZqzVgPFxVPxxS/9C377m1+h8ujM\nl3fl6lKxXPnEnIjyF5ecERFRzgss2frva4Zx0g+ALTcfnumovQOQRdPw9+070r7h3tjpweXNbsyy\n+TE4CnzzbOCpF4Ej7cDufdNw7cqbsHxFc8Y39EYkB0YmHHrveUNElA7uQ0MF03ufso+xRUaIFleB\nJVu//QvgciJsH5dyO3Dt9TdldDN/bl09Vt9xN6aUHIE/rQL+809A983A2/8GvHDTftx/75q0jx1K\n7/1xNno8OGl+JVouWoST5ldio457YRix542Z+H5FRmBcmY8JDRER5YTA3jPfeWoa3vwAYZtq7vXb\nsHxFc9rHDiQF6x+4Ce8OfIQeH+CajbQ3v8wWoxOOTDcBJSLKBjYFKBDs6kJGYWyREcudYsXVhQ2N\nOOXTp+Khh36M2rva4Tq6VK1FyWAX9NCk4JS5wD2/AtzrgaIiGLLXS7xxpHodjdpkM8DIPW/MwPcr\nMgLjynycoSEioqQpigKv1xucATByuVM0Gz0enH3W6fhzlwdSAt9Ydi3efLsvo5qOyFmI674EuI6Z\nji9+6es4585pOG21AwvX2lLa/DJV6V7H0IQD0D/hCMyKLVxry8p1ICJKi5TS1P/UIZDRtmzZYvYQ\nKE8xtgpHR0eHdNgc0jXDJR02h2x9tFWWz7DJ/7sLUm6A/L+7IMtn2OTAwEDMYwwMDMitW7fGfY6U\n0eNqYGAg5fMlI/K4dzdC2kohq6vKZLnDJu+84/ZJ50j2daRz/lRfV6enQ5bPsMnq+Q5ZPsMmOz0d\nGY8p2hj1er1m4vsVGYFxlR1azhA1n+CSMyIiSkhRFLS4W7DUvxQV/gr0ox/XfPcafPz44qj1FdE+\nwc+0W5YRy6sCy7zW3vMAFl53NY4tn4LtO0fx8q3AKXNHtA0214TV5+jd9SvT13VhQyPOras3tK1y\nruwLQkSFiW2biYgoIa/XiyWLlqBpuCn4WJu9DSNiAC/ceCBYX7FwrQ1vvt036eY32j4vsZ4bS7xj\nAEj5hj4yMVl7zwMonToND95xJV69dST4vNNWH97fRo/XkcrrYhJBRKSK17aZMzRERJSQy+XC4Ngg\n+tGPCqgzNMOHhnHfjx7EwuuuDtsoMtpNeKxZiJ6eHsyaNSupRCRYzxHYmHLXOL5/3Y145uc/w8rr\nrp40YxKvyD68EYBfTSKuuxovvvQK+pSDMYvgjZglmvS64lxHIiKKItZatGz9B9bQZAXXd5JRGFuF\nw9PhUWtoHGoNjafDI6WU8o033pDt7e3yjTfeiPmz0epEZthL5cyyafK0+TMm1X7Ei6uBgQF55+23\ny5ll0+SnTiiTtlJMqj9Z9+ijsnyGLeqxpZTyueeekx+fc4Qc+A/15+QGyOr5Drl169a4NSl61fFE\nu2b5UqdiZXy/IiMwrrIDcWpomNAUCP6xkVEYW4Ul8qa7s6MjbuIQKixRcNik/YiSmIlBooQmkFRs\nvQ3y03MPJyVyA+SpVWXSMX1qzGN3dnRIx/QSOe9oyFnTITuvmPyceMnFVVdcIW2lkPMr1OYBV115\nRUrX8Lvaz3/8mPR+ntLH9ysyAuMqO+IlNKyhISKitKRT+xFYBrZ3717ccMUSvLJ6OPi90FqVyOcH\nlo0pioJnn30W9996JV67YwTKh8BJ1wJbbjq8ROycNVNxzKxiPHHZPricgNNx+NgulwsnVVViyw2H\nx3zWKmBCAj9++FF89Wtfn7RMLXQMAHDS/EpsvsKP6VOBfQeACx5Ovt7lb3/7G04/9WSt6YB6/jNX\nAa9sewMLFizI4LdhHCP2GSIiShVraIiISHfp1JMEumUpipJww8aNHg9ami/F0TOnYNfQISxrugxP\nPdmGSmcxeneO4J5fqXvGXP9lNSk4cW4ZdigHseTCRjz15ONY/hjw7qD6/X98sF/ds8Xnw/Gzi8I6\ns1UdDYwesgUTtNBaHEiENQ74/rU3wnVUKWpP9gfHmUoNzdatW3H8kQg7/5xy9XErJjR6d3QjIjIC\nE5oC0d3dzZ1syRCMrcIVaxd5u90Or9cb9xP9RIXwzzzzDJZftgzFYhzTpwDyELCu9eFJMxtPvWzH\n+4OH8OBDD+DU6tNgt9tx9pmnT3pe0ZSJ4Jjf3T0RNuZ3B4FDmMD996zRZm60JgHNbkxIiRdu3B98\n7Jw1d6JIiLiJWDSBWY6qqiq8uwdhP//eIHDGGWfo+rvRQ9TGCS1unFtXn7MzNXy/IiMwrszHhIaI\niNISLSn55iVunH3W6Ul9oh9v/5S3334bhw6N48XV6o1/x5+AWzar/1Y+BA6MA/OOm44frHoY5513\nXvBnvV7vpBmYE48BPpqYCp/Ph5qaGjzS2obPL2/C7Olj+GAIKJpSghtuvBmbn7gvbLZpzuwiHBgP\nn005oaIU31h2LRauXZOwI1kgidn26qtYef3hLmy1CxfjzFXPY065mswsb74i7dkZI5eDGdHRjYjI\nCKyhISKijARuqu12O84+63Rd9lN5/vnn8Z1LvoC3/007x4eA67vAqguAu38JHF8O/L0fePChR8M2\nvVQUZVKNTO0dgCyahr9v3xFWF9PT0wMAqK6uBoDJ9UB32UJmaFLb9yawVKvSWYw3d4xg9QXq8rjA\nMf7r179Fb28vzjjjjLSTGaOXg3F/HCKyEtbQEBGRYQJ1MV6vV7dP9Kurq6HsK8VrO8ZwylzggyFA\niiKs3jwRtpxs4XVX46tf+3rw+E6nM+oMzGPrHg8bg9PpxOLFi8POOWkJXGsbAMRcFhev8cHhpVra\nOO8EvvX5w9ektLQUy5YtS+maxD6HMcvBuD8OEeUKJjQFgus7ySiMLQqIVVOTqL4kIHT51Ouvv47W\n9e1Y2OzGnNlFeG/3BG7+4Y34afs9OGXuCIDYCVNgKVvoDEwyN+GxlsDFWhYXS7SlWnPKAZ+iJmaB\nBgWZyNZysHjLAnMR36/ICIwr8zGhISIiXWTyiX7k8qnvXPV93Hbb7WE30wBw/71rkk6YZs2aNekm\nPFHNSWC2KdFj8URL7N7uBy5dD+wcBA7psMw60+QxFam+fiKibGMNDRER6SrVQvVArUa8vV2CBfY9\nr2LldVeHJUyRdSOxakuSqTnRq8h+Y6cHl7e4MefIIvTu3IcfXQycWgm4nMAX/m3yfjupSOVaEBHl\ni3g1NExoiIjIVF6vFw1fOQdDI364ZgO+3YCjbBo2/eIPqKmpmZSIrL1HbdEcLemIVcj+4kuvJGxY\noHeRfaDxwIXf+ErUxgLpJEypXAsionzCpgDE9Z1kGMYWZcput+ODPf6wYv+aH+6H3W6PXvx+3dUx\nE4JYtSVbt26NW3NiRJF9oPHAo+se16WwPtVrQZPx/YqMwLgyX5HZAyAiosI2OjqKqmNtYfu9HD1L\nTUJ6enq0ROTw/jPHlk+Bz+eLeqzQ2hLgcG3JGWecEfXxQM3J4UTo8BgCCU+mLmxoxJtv96F1Qxfe\nfLsv6VkfRVHg9XqhKIrhYyQiymWcoSkQ/OSAjMLYKjzp1pnE+jmXy4WdexEscL/nV8Du4XE8eMeV\n6Bs4iLGDB3HPrw7vP7O9fxTbel6NWoMSqzHBggUL4jYsSLXIPtVrkGphfbTlb+fW1WetEUC+4vsV\nGYFxZQFSSlP/U4dARES5oLOjQ5bPsMnT5s+Q5TNsstPTocvPdXrU73/yBLu0lUL+312QcoP6v47p\nJXJaSfhj5TNscmBgIOb5BgYG5NatWyc9J9bjUkq5rvVR6Zg+VX7yBHvc15buNUjWwMCALJ9hi/p6\nA9eper7DkHMTEVmVljNEzSfYFKBAcH0nGYWxVTjS3Tk+2Z9TFAWdnZ147IGVeHDpR6g9WX380z+c\njv1jEm/d/VHwuaetzqxTWKTAjEilsxjv7BrDPfc9iOUrmnW7Bqnwer1ouWgRXlk9HHws9PXq1Ymt\nEPH9iozAuMqOeE0BWENDREQJKYqCZ599FpXO4pRrOJKt/fh9Vxduuek69L7/EbYPqI+9tgN4b/cE\nBoYnYta/6PHaAsX2r946ghduPICV110drF1J57VkIlYdUOD1Op1O1NTUMJkhItKwhqZA8JMDMgpj\nK/95PB60uFswo3gGdh8YSbmGI5n6lEBS8cKN+/G3ncC3fwLc9V/AXr8Nj7S2AYAuncKiidUZLdAB\nLdXXkqlMNiil+Ph+RUZgXJmPCQ0REcWkKApa3C1Y6l+KClTgT/gjzlz1O5w4tww7lINJ3Wgnc4Me\nmlScMhc49xPA2Wumw/Pkz7B48WIAUIviDVhqlUqSoleykWjZ2IUNjYa9XiKifMMlZwWiu7vb7CFQ\nnmJs5Tefz4fy0nJUoAIA8Fl8DrNLj8f3bn4opRbEiVoXRy6z+q9Xgd0fTqC6ujr4HKOWWgWTlLU2\nnLbagYVrbXGTlNDX8uJLr+Bj86qiLk+LRlEUrLnjDnx83ly0XLQIJ82vxMZOT/B7oW2aI19v5Pcp\ndXy/IiMwrszHGRoiIorJ5XJhcGwQ/ehHBSrQj34MHxrGeeedl3JiEa91ceTMR+/7+7H+sbawm3mf\nzwe73Y7R0VHdZy1SnRFxOp34fVfXpNbK8RK8jR4PLm9xo9zmh5gArvvCfiw4Tl1K9+Hwh1h5/dUx\njxWtjXOyySQRUb5jlzMiIoqr09OJZnczykvKMTg+iNa2VjQ0NqR9vHjLraJ9L3Azf9wsoPd9P+zF\ns3FAjiUch5HdwFLtdhb1+XcCb94LLL6/DP/4YAx/vPlA1GNlo7MaEZHVscsZERGlraGxAb19vdjU\ntQm9fb0ZJTMejwdVlVVYsmgJqiqr0OnpDPt+tGVWgQ5kr93px8u3AvvHh/A1/9fQ7G6Oufxqo8eD\nE6vm4tIl5+DEqrnBZV16SbXbWdTnzwZ++xfAt2sMlXGOlY3OakREuYwJTYHg+k4yCmOrMOhRvxLa\nYKBpuAlL/UtjJiWBuIp2M3/8rCkoRSnKS8qj3tQrioLl7kvQfcN+/OVOP7pv2I/ll16iS+1JoI7F\nbrfHba0cWe8SrRXzWx8A33lqGu6570HsHDwY81iJ2jhT8vh+RUZgXJmPNTRERJQVwQYDfrXBQAUq\ngklJrEQpsgNZ9xuAb89BfAofYnB8MOpN/ZYtW3CU42BYEnRU2UFs2bIFS5YsSXv8YXUsu8aw6Itf\nwjlrfokTKkrDup3FqncJ6462axw3/fBGLF/RDKfTCYfDEbNzGts4ExHFxxoaIiLKCkVRUFVZFWwB\n3Y9+dNg60NvXG7PuxOfzYVvPq1h53dWwlx6EMjSO48qBnXuB5SuuwIMPPTTp5x566CGs/MFVeOnW\nw22Yz1oFrL3vx7jyyivTHntkHctZq4HSkmm4duVNwcQkUb1LqvVDqXyfiCifxauh4QwNERFlhdPp\nRGtb66QGA9FuzgObeZaXlmNwbBC33HY77rjtJrx8G0IShTbcfMstk36+vr4eByeA2jsAlxPwKcDB\nCTRCa5cAACAASURBVPXxdEXbfPPEY4AfnLcfV967BstXNMd8XugmnYk6vcVLVBJ9n4ioULGGpkBw\nfScZhbFFqUimwYCiKLis6bKwWptVN6/CCUcnLoxXFAWjo6O4pMkN/xiwewTwjwEt374CCxYsiDqm\nZPZ3iVrHshtY9KnwcZhZ78J9ahLj+xUZgXFlPs7QEBFRViWaafD5fCgrKUPFWAX2YR8O4RBmFM/A\nO7v2BGtpoiUK69e14roffBcnHF2KPuUg7rzrXhw524kzzjgjZjKT7P4uwTqWZjdm2fwYHAX+41vA\nB0Ph4zCr3oX71BBRIWMNDRERWUqg1ub/+WvwcskLmDOrCL6hMVx8yaXY/LQnLFEI3LS3trbi6qta\n8PKtSHqvlnT2d1EUBevXteLeu+8MawYQmTxks96F+9QQUSFgDQ2RQVikS1aWq/HpdDpx7wP34ntX\nNUckKB68+NIrGB0dDXtNiqLgu9/5LuYcibAlaXOdxXE7qCWqdwkcO/QaOp1O3HjTzVi+ojnutc1m\nvUsyr4OIKJ+xhqZAcH2n/jweD6qqqrBkyRJUVVWhs7Mz8Q/lIcaWNSXawNJIetRyTMgJnDS3bFLN\nzOjo6KT9cHp6enDo0CEM7J0SVrvi6x+LW7sSq97FbrfD6/Vi/bpWnDS/Ei0XLcJJ8yvDNufUY18e\nvXCfmuTx/YqMwLgyH2doiNKgKApaWlqwdOlSVFRUoL+/H83Nzairq7PEDQ4VttANLCv8anvkZncz\n6uqNj8/I7mStba1RC/8TqaioQJ9yMG7NTCgHHDh3fCHOvuUXOH7WFLyz9wC+94OrE3YNi6x3ufib\nbpx91uk4rrwYvTtHtBkivzpD1OLGuXVqpzQrzXxxnxoiKnSsoSFKg9frxZIlS9DU1BR8rL29HZs2\nbUJNTY15AyOCFp+LlqBpuCn4WLujHZu69IvPaMvZUt1nJpGNnR5crt2kv9M/hmuvP7zfS+RYXHNc\nuGTsEpShDNuxHb8p+Q36diZXQxJ4LXa7HWefdTq2rPTjwDiw/DFg212Hn3faage+ccm1uP++NZYs\nvs/VJYZERMmIV0PDJWdEaXC5XBgcHER/fz8AoL+/H4OD0XctJ8o2l8uFwbFB9EOLT/RjcFy/+Iy1\nnM3n86G8tBwVqAAAVKAC5SXlk1orJ+vChka8+XYfvrHsWhQJgc1P3Ddp6RegzlC0tbdhg20DOqd3\n4re23+LxJx5P+qY+sHxsdHRUq0VR9695dxDhy7h2jePee+7ElpV+vLJ6GFtW+nF5i9sybZKttAyO\niCibmNAUCK7v1JfT6URrays6OjrQ3t6Ojo4OtLZG3yAwHbm0nwRjy3oCG1h22DrQ7mhHh60j5gaW\nqQpdzhbYI6bZ3azOkuiYSIXG1f33rsGWG+InEQ2NDdjetx2bt2zG9r7taS1zC61FcTqA678MnLkK\nqF5VhoVrbfj+dTfiYxVTE+6Fk2259H5hNr5fkREYV+ZjDQ1RmhoaGlBXV6f7Eg+Px4OWlhaUl5dj\ncHAQra2taGhI/eaMClNg2VFdfR16+3p1j8/gLIx/8ixMTU0NWtta0exuRnlJOQbHB1NOpALjHxoa\nCp4v2Q5emXYWi1aL8uBDD+DU6tOCSdn9964Jr+vZdbiux4wlX3rVLBER5TLW0BBZiKIoqKqqCms2\n0NHRgd7e9GoQqLDEu7nV62Y7mTqZdM8Vbfx19XVZ32Ml3vg3dnrQvLwJs48YwwdDAhJT8Xj7TyAh\ns55Y6F2zRERkZdyHhiiLMrlx9Pl8KC8vR0WF9ul3RQXKy8u5nwQlFK+zWVdXl24324HlbPFmYdKZ\nKYk1/t6+3ow7eKX6Nxlv/OfW1ePQwVJ8euBL+DrmYQQjWH7pcgghcJH/oqx2lYs3W8b3CyIqJKyh\nKRBc35kdifamSbTWPRebDTC2rCFWQX5PT0/Mmpd0NTQ2oLevF5u6NqG3r1eXmYjI8fvhD96cB5oD\ntG7owptv9yXsKhb6d6b3fjw+nw+zp87GKTgF0zEdFahA2ZQyzCyaqVszhGQZ3fwhH/H9iozAuDIf\nZ2iIdJJob5pkamMCzQaam5vDnsdPWymR0JvbwPKjwfFBADDkU/xM61UiRY5/EIPBm/NUZlhCl63t\nGduDgwcPYtn4Ml1mThRFwd69e7H7wO6w6zxyaARCiEnX3ujEIpnZMiKiQsAaGiIdKIqCZ599FqtW\nrcK3vvWt4OOBvWlcLhc+9rGPYfHixZg3bx5GRkbi1sZwPwlKR6enc9LNbV19neF1FsnEa6znhD7+\nu67fTRp/KrUp0WpK2tCG7+F7mI7pANLfj2ejx4PLv+2G66hSbP/Aj7GxIhw9rSI4TgCTxp6t4ny+\nXxBRIWANDZGBAjMvM2bMQH9/P/r7+4MzNIHlYuvWrcOBAwfw0ksv4Te/+Q3OP//8uLUxen/6TYWh\nobEBdfWTO+8Z+Sl+Ml22Yj0n2uOhndkAHE5QImZYAEx6ndFqSgIbbZ6CU9KeOVEUBZd/2601JvCr\njQnusqH16VZUV1cHzx/t2mcD3y+IqNBxhqZAdHd3o7a21uxh5J3IrmQvvvgiXnjhBRxzzDEYGhpC\na2sr6urqMG/ePFx00UXBRKe9vR3FxcX4xz/+kfM3Iowt61MUBT09PQAQdgOux3GT6XgW+px38A5+\nOvWneO53z+G8RefF/Nnu7m5Mnz4dXzvna1juXx4853rberTc2IJ719w7KUGKNp4nS59EUVERZpfO\nTnvmxOv1ouWiRXhl9XDwsdNWO9C6oSvlmR4yF9+vyAiMq+zgDA2RQSK7kp199tl46623cNttt+G8\n886D0+mE1+vFkUceGda57IgjjsA111yT88kMWV+sVsjJzCQkWsqUTJet0Of8FX/Fr/FrHHHgCCw+\ndzGmT5ketZA+8LN2ux0D/oGw2pRd/l1Ye+dafHP/N6PWxUTORrW1tWU8cxK64WZw/5mB8ZRneoiI\nyBhMaAoEPzkwRmhXssDsy/DwcDCZifWc8fFxrFixIqtjNWqdPWPLOiJ/x9FaIV+67FIUFxfjyNIj\n49akJLOULFojgt0HdsNut096zjt4B7/Gr7EMy9Tnjqn1Le/gHZyAEyYtB6utrYXX68VM20w84X8C\nMzADwxiGvdQOe5E9ZiIUa9md3htupto6mqyB71dkBMaV+bjkjChDnZ2dk7qSRXYvS+Y5Rkqmwxrl\ntmgJyLyqeViyaAmahpsAAPuwDz/Cj+CGO26DgFQ2bAw0IrBLOwb2D2DG1BkYLxoPS4A6PZ247FuX\nYdqBabgSVwZ/dr1tPYYmhuCc6oy6HCwwjq/5v4ZSlGIMY9hUsgnj4+O4DJdl3OQgWpIfL/FP93tE\nRJS5eEvOmNAUCK7vNFYmXZ6MPndknU9/f3/cDmupYmyZL1YC8vIrL+PM088MPv4aXkM3unEVrgr+\nbLSuX16vNywRivW8gPvuuw8rr12JcpRjFKP4LD6LP9v+jO1924Mx9re//Q1nVJ+Biw9cPGmMo6Oj\nk+I3EFehndv2jO/BgbED+Pyhz+NP+BMccGAP9uDfH/13rGhObcYzWgKYSke1RMfKVoczSg3fr8gI\njKvsYA0NkcGS6TJkRCeiZGZeIut8Kioq4nZYo9wTq5ZldHQ0rKZk99huTExMoH+sP9j9a/fY7km1\nILH2tIlWM6IoCm69+VYsx/Lgc5/AE5jqn4p1retw0803AQAWLFiA9T9ZP6nb2oIFC+K+ttAlZO+8\n8w6+feG3cTbORjWqMYQhPI2n4Tph8rjiibYUb4V7BaSUuHj/xSntWRPtWJnsdUNERKljQlMg+MlB\n/km0kWdAtBqeQDtpPTC2zBctAdkzvgd79+5FXX1dWCvk33X9DpcuuxQHxw+iDGWYODSBda3rsKJ5\nRVi9SbKtnn0+H44sPRIVBw4nUw44sBd7sfbOtWHHjVXfEs0nPvEJPP/88wDUzmw1NTXYu3cvRjAS\nfJ0jGME+7Ev5ekVLAGcWzcRBHIzbpCDZY+mxcSkZg+9XZATGlfmY0BDpJNtr6JOdeXE6nWhtbZ1U\nw8ObrfwRmYAM7B+APCjRvKR50hKouvo6FBcXY9m4Vpw/3o9bf3gr1t65FusfXx98XqLkIxDvdrsd\new/uDU+msAdfxBfxl9K/RI3HRLHn8XjgXuYOJl37S/ejrV3tVlZcUoz28XbMxEwMYQjFJcWorq5O\n6XpFSwCHJoYgpUxqVirRsUJ/jrU1RERZIKU09T91CGS0LVu2mD2EvNbR0SEdDod0uVzS4XBIj8dj\n+DkHBgakw+GQLS0tcvXq1bKlpUU6HA45MDAQ8/lbt26N+f10MbasY2BgQD733HPSPs0uW9AiV2O1\nbEGLdNgOx8XWrVula4ZLrsbq4H8VqJBfx9fDnhdPR0eHdNgc0jXDJR02h7zyiitlma1MlqNcTsVU\n+WV8edJ5A+NLFIMDAwPSPs0uS1AS9hrKbGVyYGBAejo80j7NLo+Zfoy0T7NLT0dyf2uR5/Z0eNTX\n4FBfg6fDE/WxZMT6ucjrlOzxyDh8vyIjMK6yQ8sZouYTnKEhylCyS7/0lurMC3cTz39OpxOzZs3C\n7KmzUbE/+hKoaDMKwxjGPMzDqyWvJlwqFa1m5Im2J/DnV/6Mn23+GdbeuRZ/Kf0LXhh/IWyZWrKF\n8z6fD2VTyvD/27v36Ljq897/n20s22NbsnwZEAdSKbHOrzbJMchUxCt164tsl0JWA4HIksmJlQz2\naBFTyuHaUAoNIeUWeiheFBmUyKygkZ1Dk1+4NBClVn+LnrKk2CYk2E4jB6nBoGhsWUIyQpZh//6Q\nZxhJM6OZ0d6z9555v9ZiLUaWZn9n9NWe/ezv8zzfWZo1Lv2reEaxurq60kpbi0h07HjPk8meNfGe\ny47aGlZ7ACA+Apo8QX6nfZwsuq+pqVFV1fQ2DZwu5pa7TJUCFUlP2x7YroLhAr2v9/V5fV6DGkwp\nxSpZA4K7/uYubQ9uj85Haaxj2vz581O+uC8rK9Pgh4M6ozOTUsJiX0Oqc32qwGLi82Qa+E/8Oatr\na+ikZg3OV7AD88p5BDTANNlddD8VVl4QK5WC/siKwq6GXXrg/gf081k/T1r4HyuVgMnv94+7AP/9\n8O9VbBSnVHDv9/v11Hef0te2fk2No40f19A0pr+RZTgc1ksvvaSFMxemXew/Xel0ipsKndQAIDkC\nmjxBj3T7WFF07+VUEuaW+6SSluX3+yetqKQy91IJmGIvwI8PH9fzel7HdTzli/ua2hrN8c3R3Llz\nJY11OUv376mhoUEP3v+gFhYsVM9gjyWBRTrS6RQ3FTqpWYfzFezAvHKe7QGNYRiXS/rfkmZIajRN\n80G7jwlk23RSv1LZSwZIV6ord5ms8EUCpoMHD0rSpC5jkQvwwuFC7dZufVVf1XEdV5OaNFdzNeob\n1a7GXUmPW1xcnNEFQigUUjAQVMFwgc7ojD77wWfVr341qlHnF56v/jP9GQcW6cqk3iceK1d7ACAX\nGWNNA2x6csOYIek/JVVJekdSh6Qa0zSPxHyPaecYADcLh8MqLy8f11CgublZnZ2d3HmFo6ZaNUxW\n0xEOh1VeWq4Nwxv0H/oPBRWUJJ3SKX1/3vfV9M9N2rRpk+VjjBx3y/CWcZt87tAOtcxv0X0779MV\nV1zhyb+tllDLpNUeamgA5BPDMGSaphHv32bYfOzLJP3GNM1u0zRHJbVI+oLNxwQ8I1lDAcApoVBI\n5aXlqt5YrfLScrWEWsb9e2xKWd1AnbYMb1EwEFQ4HJb0cbrVK3NeiaaaSdKgBjX00VD0OaweYzQ1\nK6ZeZoEW6KiOauDDAV1xxRWSxhoVHD58WB0dHdMeR7bU1Naos7tTe1v3qrO7k2AGAGLYHdBcIOl3\nMY/fPvs1ZFlbW5vTQ0AcsQ0FJGW9oYAVmFu5ZapgRVLcwCFS0xFRU1uj3/7Xb3XPfffoWd+zaipq\n0jOzntGZM2cUrA7GDZRiJZtXicY4f/78aGqWpOgmn6/MeUUNjQ1qbW1VeWm5rlxzpS6+6GJdvebq\nKcdht3A4nHJg5ff7VVlZ6ckVJrfgfAU7MK+cZ3cNTbxlIfLLgLOsaCgAb3F7A4hUCtBTremIbTxw\n8OBBXfOFa/TlD76skoHpdepK1jo6thD/xOgJ3fONe7Q9uF2StLR0qb44/EXt1V4FFHC8YxitmAHA\nGnYHNG9L+oOYxxdqrJZmnLq6uugHYXFxsS655JJoMWgk6uUxj3P1cUlJiTo7O9XV1aVjx46puLhY\nEVYf70c/+pF6enp0zTXXyO/3W/b8do031x7ffffdevShR3Wu71z1ne7TTbfcpPVV610zvra2NvX3\n90eDlWENq0c9Co+ENX/+/HHf39DYoEBdQIUzCzVsDquhsUFvvvlmwudfuHCh5p0zT8MaljQWhPgM\nn5577jnV19dP+v61a9cmHO+nP/1p9Z3u037t1yItkk8+9Y326dixYyo5v0Sd3ZP/nu6++25pWDqu\n4yrWWAvpt/SWJEUDtmTjt/pxOBzW9XXXq+p0lS4dvlQ96lGgLqA5vjm66qqrbD9+Pj+OcMt4eOz9\nx2uTnK94nPnj119/Xf39/ZI0ZSq+3U0BzpH0a401BXhXUrukWtM0D8d8D00BgCygm5qz4hWsN/ua\n1dltfwOIdFeFIgXos83Z6v+gX+f6ztWgBietIEz1vLH/LsnS1z+xSP7hf3hYFSsrJo0l0vXsnOFz\nNKQhXafrtFd7tVVbs/57iNXR0aHqjdWqG6iLfq2pqEl7W/eqsrIya+OAN7h9ZRfIhmRNAWwNaM4e\n/HJJj+njts0PTPh3AposaGtri0a9yD92dlNjbqXGqQvYTNOaDh8+rMsqLtOXR76c0YV/vONKSrlT\nVyrzKnKRd+DAAd1+8+2TXuPEIPJVvao2tWme5umUTsk/269TM045kurlZICbz7x4vgqF9igQuEGz\nZpXp9OkuNTY+odrazU4PCzG8OK+8KFlAY/s+NKZp/kTSH9p9HACJJeumxsVTdjixl0iyHeYlJb3j\nOzQ0pCVzlqhkJP3NHBMdt7O7M5oOZsWd5sjPb1izIe5rnFhrs1qr9Ybe0EW6SB2zO9T046a0N+20\nipUbbyJ3hcNhBQI3aHh4n4aHV0h6Q4HAOm3YsJ65AsSY4fQAkB3cOXC/dLodpcvObmrMrdRELmCb\nfc1qKmpSs6/Z9gvYRN3IdjXsStqWWRofgElKKwCLbqypQh3TMRWqcFwwlEqnrlTn1cGDB7VgxoK4\nHdfivYaTOqmfz/m5nv7e09q0aZOjF4WptGK287yQj7x2vurq6tKsWWWSVpz9ygoVFJTS2t9lvDav\ncpHtKWdTDoCUM+S5cDishoYGPfjgg1qyZIlt9S0tLS2TuqlRQ5N92cyFj5fW9P0535dhGLpu+Lop\nU50y3cwxHA6r9IJSmaOmFmqhTuqkjAJD3ce6LX3NoVBI27+2XSMfjIx1LYvzemJfw4nRE7rjG3do\ne3C7J+5u0wUN4XBYpaXLNDy8T2NBzRvy+dapu/uIJ+YwYCVHa2imQkCTHeR3ulMoFFIwGFRBQYHe\nf/99ff7zn9eSJUssq2+ZKNWL6XQuuplb7jYxKLn9G7fr6UeeTrmWJ5MALBwOq+zCMn3l9FeiQcYz\ns55R19uppzhONa9ig7XjOq4X9IJ88ml0zqie+u5TCZsXSMlT7dyCGht7ePF8FamhKSgo1ehoNzU0\nLuTFeeVFyQIaUs4Ah4TDYdXX1+u6667TX/7lX6qurk4vvviiCgsLo/UtVksl3ScUCqm8vFzV1dUq\nLy9XS4tzmw5i+iamNW0Pbk8rlSyTzRy7urp0ru/ccWlg5845N+M5HS/tamI6nSR9pI9kfjT5Blnk\nNUQ21kyWaucWqWxeivxQW7tZ3d1H1NraoO7uIwQzQBys0AAO6ejoUHV1terq6qJfe/LJJ/W5z31O\nra2t0RWarKco2dQNDe6RaSpZqqxcXUiUdhU5xtXDV6fUhtlrKx5eGy8A2M3RLmcA4ost1I8EDydO\nnNArr7yip556Sn6/P+neMekGOql8v5Xd0Ng3wb1qamuiXcDs+P1Mp4PXxPSwRF3aIse4/qvXa+7I\n3LgrGbHHm9jxLJ2ubfHGZvecpgsaUsF5FhhDylmeiOzACvfw+/1qaGjQM888o3/8x39UY2OjZsyY\noe985zuqqamJpqRt2bJFdXV12rJli4LBoMLhcNppYal+fybd0OLNLdLW7GNV16t4qWRWdtRKpYPX\nRKFQKJoSVnZhmXY17EqadlVTW6N7v3WvBjQwZQrddLq2TRxbttLVMnkPkVwufRaGQntUWrpMGzfW\nq7R0mUKhPU4PKW/l0rzyKlZoAAdVVVVpxowZWrt2rZYuXarBwUHddtttuvrqqxOulhw8eDAa6ERW\ndoLBoKqqqhLu1p7q90eCrInd0NK585fO8ZCe2PSrE6et7dhlR0ctv9+f1upH7GrMfu3XA/c/IMMw\nxu3dc3zkuObPnx/9mfv+9j6t1Vrt1m4VqUh96tPOf9gZf25PY9Uo2UqRndJ5D5E/2J8GGI+AJk/Q\nfcOdurq6tGTJEq1YMbbHwLx586IpXvFS0vr6+iQprbSwrq4uLVy4MOXvr6mpUVVV6ulIE+cWm3ja\nI95F9d/d/Xd64P4HJnX1suK5s3XBHjExJexSXapfzvqlrr/tej307YdUqEL1DveqeEaxVl26Sg2N\nDVpavlSLZi3S6uHVqlCF+tWvn8z/iSpWVsQ9RqapdhPHVqhCzZsxTwcPHtSmTZuseQOQFbnyWRjZ\nn2YsmJFi96ex82+WFLf4cmVeeRkpZ4CDkqV4RVZLmpub1dTUpObmZjU0NKiioiKttLADBw7onXfe\nSSuNLJPOVqm8JmQuXterxVqsTR9sUjAQnFaamBs6aiVKCdse3K7X9r+m/o/6tUVb9PXhr2vL8BYF\nA0HNnz8/+jPzNE/n6BwNfDhg+dyOHduv9Cs9rsc1cmpE1151ras7pSF3lZWV6fTpLklvnP3KGxod\n7bb1PEuKG1zNNE1H/xsbAuy2b98+p4eABEKhkFlUVGSWlZWZRUVFZigUGvfvvb29Znt7u9nb25vy\nz8T+bFFRkblhwwbT5/OZ5513nllQUGA+8sgjk54zU5G5FTvOVMeH1PX29ppFviKzXvXmvbrXrFe9\n6ZPPvE23mWVFZWZ7e7ulz13kK7JkfqQj1Bwyi3xFZllRmTl31lwz1Dw2b9rb282yBWXmvbo3+l/k\nNcf+TJGvKPozdoxt/pz5ZoEKHH+fkLlc+ixsbm4xfb5FZlFRhenzLTKbm1tsO1Zvb6/p8y0ypV+Y\nkmlKvzB9vkXM/bNyaV652dmYIW48QcoZ4LCpUrwm5tCHw2EtXbpUr732moaGhhIu/YfDYb300kta\nsGCBVq9erYqKCvX39+v555/XPffcI7/fP6lzWqbidWPr7OwkNcFCkRqQ7YHtKhgu0Pt6X5/X5zWo\nwbSK25M9t9MdtWJTwo4dO6arrrpK0vgVkkgtTeQ1V1ZW2tqxLXZsixYv0vVfvF4lpzLvlAZYpbZ2\nszZsWJ+V86xTKW5AqtiHBnCpeLnKydo4x4p838KFC/XOO+9ozZo1Wr16tXp6etTY2KgtW7bok5/8\npCX7zLB3TXaFw2HtatilB+5/QEtmLbF0H5lE+fFuyJtPtHdO1vdpYm8Y5KFwOKzS0mUaHt4naawJ\ngc+3Tt3dR5j7yJpk+9AQ0AAuFC9wqaqqSilwiBdgNDY2qqSkRCdPnpTP59PXv/716Pc3NTVp7969\nqqysnDSOVC4W420Qmuw5031+xJet987q7mfTGffEn40d2/GR47rzrjst6/qWiN2bkgJuFQrtUSBw\ngwoKSjU62q3GxidUW7vZ6WEhjyQLaGgKkCfoke4difafOXjwYMLuYbHidRk7//zzdd9996m9vV0j\nIyMpFeynupfMsWPHMmoCwF410zOdxg2piu1+VjdQFy3Gz7QBQTp7ucQ7Z8W+5tix/dHAH+nMB2f0\n6N2PamnpUlsL9dkbxtv4LMxcbe1mdXcfUWtrg7q7jxDMxGBeOY8aGsBlErU9lhS3jXPcDQQnfN/J\nkyd1xRVXpLzPTCp7yUTulktKe+8a9qpxXiorJRPbFU+nZsTq1tCRsRUOF2q3dqtOdWNpYMP2t5yO\n1LVFNiJlhRH5gn2R4FYENHmCHuneMX/+fIXDYb311lvROpe+vj5VVFSkFDhEgpZAIKA5c+ZocHBQ\nM2fO1M9+9jPV1NQkbEIQe4E7MagqLCzUvHkf77sx3SYA7FXjrFTTyJIV46cr3eAocs5KFHhFxnZU\nR1Ws4rgtp72Uiofs4LPQG7yWjsy8ch4BDeAikUChuLhYzc3NKi4u1sjISDRwSXXTy6qqKs2YMUNr\n167V0qVL1dvbq+uvv14XX3yxlixZMunnGxoadOutt2rx4sU6efKkHn744egqz/Hjx/XCCy9o7ty5\nuvbaa3XPPffonnvu0bXXXhsNuILBoDo7O6esmYlItGkoe9XYL52VEiu7n2USHCULGiJj2/a1bRr5\nYMSSoCtVbtiIFMhVkVqdWbPG9tqhVgepIKDJE21tbdxBcLl4aVjf//731d7eruXLl0e/L5Ul/66u\nLi1ZskQrVqzQr371K7344ouaO3euVq5cqRkzZujcc8+NrqwMDAzoxhtvVCAQiB73tttu08MPP6xb\nbrlFIyMj4/7tzjvvVGFhofbu3asrr7xS8+bNS3t1JdXUN2Qu0R3OdFdKYlspT+duabrB0Y9+9KMp\ng4bI2HY17NKD335QiwsWZ6XltJWpeMguPgvdLRwOKxC4QcPD+862iH5DgcA6bdiw3tV/W6nOK6+t\nPHkJAQ3gEvHSsJYsWaLf/e53SfebiSeyAvLWW2/pxRdf1NatW1VYWKjHH39cX/nKV6LByfbt2/Xh\nhx9OOm5xcbEqKir03HPP6frrrx/3b4sXL9Zf/MVf6JxzztHu3bv1p3/6pxmtrqS62oT0JVvZFdE8\nzgAAIABJREFUyGSlxKq8+XSCo56enpSCBr/fr7v+5i5tD27P2lyyMhUPwMdyeb8bVp7sRUCTJ7gj\n5X7x0rB6e3t1zTXXaMmSJSltghl796ehoUHXX3+95s6dq5KSEh07dkwLFy6cFLiMjIzovffei5v+\nVVZWpoGBgXH/9t5776m4uFjz5s3T3Llz9eqrr+rpp5/O6MOGAlPrTZUO5fQmmrG/82R3K6+55hrd\n8b/uSDloyOZccvo9ROb4LHS3srKxi33pDUX2uxkd7Xb9zYKp5pVXV568hIAGcImJaVgnTpyQaZr6\n8pe/nLQTWOSi8MCBA7r99tvHpXB1dHTosssuU09Pj4qLi3Xy5MlxwUl/f79M09Qf//Efa/fu3Soq\nKlJfX5927tw5rr4mGAyquLhY7777rtasWaN58+app6dHIyMj6ujoGJcSlwqW3e2TSjqUVWlk09HQ\n0KBbb7pVi2ct1skzJycV1bs9aHDDewjkGr/fr8bGJxQIrBu3343X/75yeeXJLdhYM0+QN+wdkYv9\nkydPKhgMJt2wMtJEYOHChXrnnXe0Zs0arV69etymmz/72c+iQdLvf/97GYYxroZGkoLBoBYsWKC+\nvj49+uij2r59e9wxHTx4ULfddtu4oKmkpCStuRWvQ1qyVSekxwu72Tc0NGhH/Q79hf5CS7VUgxqc\nNMbIOYvgF1bis9AbvPZ3P9W8CofDKi1dpuHhfYqsPPl869TdfcQTr88tkm2syQoN4DKxe1wk6wQW\nr4nA7t27VVFRMa4N8sRaFUmTPiimqmWJjKmyslJXX331uO9NZ0Mx9p+xn5tWNuJdlITDYd309Ztk\nyNB/6D/0L/oXXakrVTyzOO7dStISgfyTa3/3ubry5CYENHmCO1LeM1UnsHhNBIqKitTf36/BwcFx\nwc/ED4fpnEQnPleqcyscDuull16aVMfD/jPWc0M6VKLGBAcPHtRHH36kgALRFaQmNWnGBzN08uRJ\nhcNh+f1+zlmwBfMKdkhlXtXWbtaGDes9tfLkJQQ0gIsl6wSWaC+Xn/zkJxoYGEi5DXI2UsAix1iw\nYIF6enrYfyYLnLzDmawxgSQVqnDcRpjn6Bx9ZH6kYHWQTSoB5KxcW3lyEwKaPEHesHclOgHGW8HZ\nuXOnKioqUr77M90UsHA4rOeee07XXHNNwu+feIxXX31VjY2NOv/889Xf38/+MzkoWWOCiooKfTDr\nA/WcHute9pbe0ohGdP2Z61Uy8HHwM8c3R1dddZXDrwS5hs9C2IF55TwCGsDDpruXS7y0tVRTwCKr\nLj6fT3fccUfClZ2Jx1i9erV+/etf65vf/KauuOIKgpkclGyfFr/fr8amRm0PbNe8j+YpPBLWAi0Y\nt2KzqGCRenp6HH4VAACvoMsZkMfC4bDKy8vHrdBEuqMlCzTS+blMjwFvawm1TGpMEJtGdvjwYVVW\nVOrzI5/Xj/VjbdVWV3Rl81p3JQDIF3Q5AxDXVI0HEom3srNgwQIdPHhQmzZtsuQY8LapGhMMDQ3J\nP8ev5SPL9aE+1G7t1lzN1cjsET3V+FTSFEa7Ao5EjQwAAO7GCk2eIL8TySS6SEz29ciqy/DwsHw+\nnxobGzV79mw99dRTcVPP0rkQ5S557pu4X85bekv/Z/b/UcfBsY1a452z7Aw4vLB/D6aPz0LYgXmV\nHazQAEgqXuOBZN3PIqsukQ04R0dHdfnll6ugoEDbtm2L21Qg1e4ubLxpLbcGh/H2y3m68WktX748\n7vcn65xmxetK1sjATe8bYAe3nieAVLFCA0DS+A80SSnVvbzyyiuqq6vTH/3RH6m1tVXFxcU6fvy4\n7rnnHt11110ZjYF6G+vYnUJlxUVQqs/R0dGh6o3Vqhuoi36tqahJe1v3qrKyMqNjTxwHKzTIR6HQ\nHgUCN2jWrDKdPt2lxsYnVFu72elhAZOwQgMgqYmrIrfffntK3c8qKio0ODion/70p6qrq4sGIQ8+\n+KC2b9+e1a5rGM/uFQ2rgqVUV+6SdU6zQrwVo4ZGar2Q28LhsAKBGzQ8vE/DwyskvaFAYJ02bFjP\n3IenzHB6AMiOtrY2p4eADIXDYXV0dCgcDtv2/JF9Yurq6rRlyxY9+OCDCofDeuONN3Tq1Km4G2BG\n7qxffPHFmjt37rggZPHixerq6kr7NcVuFiqJjTenIZpCpckpVNMVGyzVDdRpy/AWBQNBS+foxHNW\nJOBo9jWrqahJzb5mywOOmtoadXZ3am/rXnV2d9IQIAfxWTheV1eXZs0qk7Ti7FdWqKCg1JLzRD5h\nXjmPFRrAxbJRTxJvVWTOnDkaGhpSW1ubnn/+ec2cOVPf/e53oxePkXEtWLBAx44d06xZs9TT0xNd\noTlx4kTCICSV2hw6ok2fnSsaTtWbTNU5zQrs5I18UlY2lmYmvaGxoOYNjY52cxMJnkMNDeBS2aon\nmXict956S83NzQoEAtHjPvvsszp69Kj8fv+47//www/14x//WH/yJ3+iF198UQsWLNCJEycS1tCk\n+pooULXGVHvBZIp6EyB3RGpoCgpKNTraTQ0NXIsaGsCDslVPMnFVJBwO69xzz42bQub3+8eN69Sp\nU3rvvfe0ZMkS7dixQ0ePHtUrr7wS7X42MTBJ9TVxl9wadq1oUG8C5I7a2s3asGE9N5HgadTQ5Any\nO71nuvUk6dTe1NTUqLOzU3v37lVHR4cGBwcTHjd2XPPmzdPy5cvV2NioPXv2qLW1VU89NbYpYigU\nUnl5uaqrq1VeXq6WlpaUXpPdNUP5xu/3q7Ky0vKLFLvrTThnwQ7Mq/jsOk/kC+aV81ihAVxqOvUk\n6dTexK6iRNrfJjvuxHH19vZq586dqqioiN7dC4fD2r59uzZt2qSlS5dqcHBQwWBQnZ2dSZ+bPWi8\nhZU0AFYgzRjTRQ0N4HLpnujTqb1JFkBMddxwOKyDBw9KGmvfHPs9999/v/7u7/5OS5YsUX9/v668\n8kr9/Oc/1969Y3uGxHvucDispUuX6rrrrmMPGgDIE+yDg1RRQwN4WLp3wVOtU4lt1xwJIILBoKqq\nqqLHTHbc1tbWuMFQOBzWgw8+OK6pQFNTk2bOnBlNLYt97khw88///M8qKChgD5o8x51awD3s/ntk\nHxxYhRqaPEF+Z/5ItfYmWeATT2xtS2wwtGbNGm3ZskXBYDD64bd48eJxzzt37lzdeeedkwKqb33r\nW/rUpz6lL33pS3rkkUcm1e4ka/8M6zldvxQKhVReWq7qjdUqu7BMLaEWR8aB3MVnYepCoT0qLV2m\njRvrVVq6TKHQHsuPkSv74DCvnMcKDZBjUq29iQ18IispiZoOTExNu/3221VYWBht81xSUqLCwsLo\nnbyJzzs6OhrtfBZ5vmAwqIKCAp05c0aVlZX68z//c33ve99TU1OTiouLo+2fuUuXHaFQSPWBei2a\ntUh9p61r8Zyq2M06S4ZLtF/7FQwEVbWhijkAZFm2Vk6c2geHleDcQ0CTJ9auXev0EJBFNTU1qqpK\n3q431cAnXmra3//932tkZEQ9PT365Cc/qZ6eHvX29mr+/Plxn3fXrl3jUszq6+vH1crs3r1bO3bs\nUHFxsTZu3Kj3339/XPtn2GtiMNGjnqwHExM367xUl+qXBb8k5RCW4rNwsngX95GVk7FgRopdOUn0\n95hJkOD3+9XY+IQCgXXj9sGx82/ejpod5pXzCGiAHJVK7U0qgU+i1LTBwUHt3r1bCxYs0MDAgIqL\nizU0NJT0ecPhsF566SUtXLhw3PMtWLBAR48eVV9fn/7t3/5NAwMD0fbPsN/EYKJEJVpUkN36pbKy\nMvWd7lOPeqKbdfaNpt6mHED6El3cp7tyMp0gIZv74FCzk7sIaPJEW1sbdxAQ11SBT7wUsv7+fpmm\nqerqah0/flxLlizRD3/4w3EfdhOfN5K2tmDBAvX09Ix7vhMnTuiVV16Jtn+eP3++hoaGFA6H+ZDJ\nAjcEExM36+z9oFeNjY38/mEpPgs/NtXFfaorJ1YECdlqAZ/JylMqmFfOI6ABkFSiFDJJCgaD8vl8\nGh4eTrpHzsS0tVdffVWNjY0qKSlRX1+fbr31Vt18883RDTnZiya7JgYTfaNjNTTZDiZqamtUtWFs\nZe/YsWO66qqrsnp8wK3sqPmY6uI+1ZUTu4IEOzhVswP7sQ8NgKhkH5qJ9o5J5UO2o6ND1dXVqqur\ni37tn/7pnzQwMCC/36+BgQE1NDSoqqoq5T10YD0KZQH3sWuflnA4rNLSZRoe3qfIxb3Pt07d3UfS\n+vu36nmyJfJ+xq48se+NN7APDYApTbUyEi8lINU0gXhpaydOnNDnPvc5rV+/ProHzg9+8IOU9tCB\nPbKV9gEgNXbWfFhVkO9EYf90ZLNmB9lDQJMnyO9EMlNtsplMKnPL7/fr4Ycf1o4dO7Ro0SK99957\nWrt2rf793/9dn/3sZ6OBi6SUW0kjt3HOgh3cPK+s6jaWDqsu7r0WJFh988bN8ypfENAASLrJ5nRO\n+rEf0BUVFSopKdHll1+u4uJizZs3T7/85S/V39+vwcFB9fX1qaKiIqVW0lMdy+0fpgAQy6puY5mw\n6uI+V1d4+WzxhhlODwDZwZ0DJBObEiYprZWRRHMrFAqpvLxc1dXVKi8v18GDBzUwMKBzzjlH8+bN\nix7jJz/5iZqbm6OBS01NjTo7O7V37151dnam1BBg4rFaWthh3us4Z8EObpxXsWllAwP7NTy8T4HA\nDdEuj42NT8jnW6eiopXy+da5Op0r14RCe1RaukwbN9artHSZQqE9cb/PjfMq39AUAIAkqaWlZdLK\nSKbdxcLhcNzi/ocffli33XZb9Bh/+7d/qyVLluiyyy7T8uXLLTvW97//fbW3t0efM/YOmyTutgFw\njY6ODm3cWK+Bgf3RrxUVrVRra4MqKyslObtKMNWxc3UFw2vNDvJBsqYArNDkiba2NqeHAJfLZGVE\nij+3EqWwVVRURI/x0EMP6Zvf/KbuvfderVq1KuNVlXjHmj17tiorK9XS0jJu9aa0tFRlZWWs5HgA\n5yzYwY3zanxamRQvrczv96uysjLrF9JTrVCkuoLhRZH6pbFgRoqtX5rIjfMq31BDAyDKqhzoeF3N\nIilskeffsGFDRk0I4h2rt7d33LGGhoZUU1Ojbdu2yTAMXXfddSosLNTjjz+urVu3TvuYAGAVt3YJ\nm6rDmp0d2NzAjvqlXF3NcgMCmjxBfifsEm9uxduMM7a43+omBKZpqqmpScXFxerv79dHH32kc889\nV4WFhZo5c6ZKSkp07NgxLVy4kJbQHsE5C3Zw67xyY5ewqTqseWlDzUykE2imMq/s2k8IYwhoANii\npqZGVVVVcT+gk63gpKurq0vnnXeevvSlL6m/v1/FxcV65plndOjQIQ0ODsowDPX09Ki4uFgnT56k\nJTQAV0q0Qu7UXf2ysjKNjPxWUrOkjZLeHbdCMX4F43xJP9Xp02/l1DnVqkAz11ez3IAamjxBfifs\nkmxuJcr7jqzgNDc3q6mpKdowoKurS+FwOK3jR4KjwcFBXXDBBdEW0C+//LK++tWvateuXWpubtYP\nfvADGYahZ555JnrMVFtCI/s4Z8EOXptXTtaotLb+qz76yJR0j6QyFRT88bgVisgKRkHBakllku7R\nRx+Zam3916yNMRtSqV+aal6lU4+DzLBCA8ARsSs4Bw4cGNf9LJ0Oa5HgaPv27SooKND777+vL3zh\nC1qyZIl2796tu+++W52dndPqckbeM4Bsc/KufuTYp0//f4rUj8ycOXbsyL93dXXpkktWaObMAo2O\nvipphU6fZuUhnmzsJ5TvCGjyhFvzhuF905lbVjUIqKmp0aJFi1RXV6dAIKB58+ZJUrRGZuLdtXQ+\naEOhkOrr6y1pZ43Ucc6CHdw0r6a6UeJkjUqyY7e2/mu0FuSDDzo1Y0ap4q085FNAM9W8cmvjh1xC\nQAPAUdNtEBC5KPjEJz6hU6dOaXBwcNzGndPtSFNfX29JNzYAiEilQNzJu/qJjj1//vwJq0Ztkq5w\nZIxe48bGD7mEGpo84bW8YXjHdOdWbIMASWkFIrF7zKxatUpbt27Vs88+q8bGRj377LPTrpFJFmzB\nXpyzYAc3zKvYVLKBgf0aHt6nQOCGSfWDkbv6Pt86FRWtlM+3Lmt39RMde2hoaEItyFrNmXOeZs9e\nk/Uxukmq88qp/YTyASs0ABw1VYvnROKtnjz99NMyDENnzpyRaZrTHpuV3dgAQEovlczJu/rxjh0O\nhyet3BjGezpw4P9qaGiIlQc4xrDiQ39aAzAM0+kxAHBeuoX3HR0dqq6uVl1dXfRrjz32mNatW6cV\nK1aop6dHzc3N6uzsnNYHbEtLy6RgixoawD0OHz6s9vZ2XXbZZVq+fLnTw5lSOBxWaekyDQ/vUyQo\n8PnWqbv7iCeCgUi6XGwtCPupIBsMw5Bpmka8f2OFBoArJNqDIZF4qydDQ0NaunSpJOs2zky2nw4A\nZ914419p585dkj4h6XfasWObHn/8MaeHlZTXC8SpBYEbsUKTJ9ra2lzV3QW5w8m51dLSom3btmn2\n7Nl6//33debMGQUCgWiAY8UKDZzBOcs7nGprfvjwYV100aWSXlNkpUNapUOH9idcqXHTvHJTO3g3\njcWL3DSvchkrNAByUk1NjS6++GJVVlaqurpap06dUlNTk+bOnavR0VHt2rWLD2fARql067JLe3u7\nxlZmPq5FkS5Ue3u7J1LP0lmVtjPgcPJ3CFiFFRoArpbKB3lsncvx48d15513avv27Wl/8HOXEkid\n07UgmazQeJGdAYfTv0MgHclWaGjbDMC1Ytsyl5eXa9euXero6JjU3rSmpkadnZ3au3evfvvb3+qu\nu+5K+8N44rFaWlqsfClAzol064q3qWI2LF++XDt2bJO0StL/I2mVduzYllPBTKotnuP9XEdHhw4f\nPhz3nBmR6e8w8vxTjQPIFgKaPOGG3vvITXbNrdi2zHV1ddqyZYt27Niha665Jm7AMZ3+/vGOFQwG\n+bB2EOcs9xu/+aLkxKaKjz/+mA4d2q+mprt06ND+KRsCeG1eZRJwhEJ7VFq6TGvWBHTRRZdqzZrN\nKi1dplBoz6TvzeR3GHn+jRvrEz5vvvHavMpFBDQAXCnRppaXX3655QEHG2gin1h1d93JjR9jLV++\nXFu3bs2plZmIdAOO2BWd4eE3JL2m4eEBDQ8/Z8nmnZmuGAF2I6DJE3TfgF3smluxbZklqaenR++9\n956Ki4stDzjiHYsNNJ3FOcseVt9dr63drO7uI2ptbVB39xHXF5N7bV6lG3DEW9GRSiXNS7iyk87v\n0Oo0w1xJXfPavMpFNAUA4FqRYv/i4mK9++67WrNmjVavXj2uJbMkSwr52UATuY4CcO82/kh13PF+\nx9IaSd+TzxeY9u/ayjlEdzWkK1lTAJmm6eh/Y0OA3fbt2+f0EJCj7J5bvb29Znt7u9nQ0GAWFRWZ\nZWVlZlFRkRkKhczm5uZJX7PiWL29vRaNHpninGW99vZ2c8GClaZkRv8rKqow29vbnR5aVjQ3t5iz\nZhWaCxasNH2+RWZzc4vTQ7JFc3OL6fMtMmfNWm5KPlM635R85o4df2maZnrnuXjfG3n+oqKKjN/H\n3t5e0+dbZEq/ODsXf2H6fIs8e+7lfJUdZ2OGuPEE+9AAcLXIXg2VlZW6+uqro3cpJam8vFxbtmyJ\nbqQZDAZVVVWV8R1It+wLAdhhfD3G2N31bBfxp8rqv69I7cfp0/+g06cDkt5QILBOGzasd+3fbzrv\nQez31tZu1iWXrFBFxSpJL0laK+kNNTau02c+8xndfPOdKa2KJFpBqa3drA0b1k/r9xNJXRsenpy6\n5tbfB9yNGpo8QX4n7JLNuRXbyczJQv7YFs+f+tSndP/992ecA54rOeRW45xlPSeK+DOZ33Z00fq4\n9iNw9ivZbTGdrnTeg3jfOzQ0pDlzyjUWzEjSCs2c+Qe66aZbUyron6r4fzpdJSV3dMizEucrF0i0\ndJOt/0TKGYAM9Pb2mkVFRWZ9fb157733mvX19WZRUZHtKQuxx7322mvNOXPmmIsWLTILCwvTTnmz\nOmUOSEW2UisjqUnppHjZlYrkpRSnZGOd+LtL9L2HDh2a9PXZs4vNwsL/kVLKYTbSE61IXUN+UZKU\nMwKaPEF+J+zi5NwKhULjAoKGhoaMLtTSucBrb283y8rKzNtuu830+XwZB1ROBWRewTnL2zINIOy8\nkI7U0Lj9AjrRe3DfffdPChCTvV8TA4Ynn9yV8u8kWwFgrtQtcr7KjmQBDTU0ADyrpqZGVVVV6urq\n0oEDB3Tbbbel3aUsFAqpvr4+5Z+LtHg+evRotIW0ND7lLZU0jGQpc+SQw+syrZGws86ntnazfL7Z\nuuCCCzKu/chG7Vy89+D06bf07W9/5+z+MmNfCwTWaf/+VxO+X5WVlZNqXYqKihQIrFNBQalGR7sT\nphxG0hNT+d7pSKduEUiGts0Assaui4FwODypQUCkrfNULU5T+bmJ425padG2bds0MjKiQCCQ1jGn\nO2bAC6bT3jdSjB57Ie2Gdr7ZbDM88T34xjdu0SOPPKeBgf3R7ykqWqnW1gZ1dv42rfcr02YDnJfg\ntGRtm1mhAZAV6a6EpCPT1Y5Ufi7RuKuqqrRr1y49+OCDWrx4cfTfUv3Q9/v9amhomLT3DRcNyAXT\nucNvRRctq8UWyceukNjVJW3ieyBJ3/72d5TqSkwy6ayKsIICr2CFJk+0tbXRhQO2SGVu2b0aYfUK\nzWuvvaahoSGdPn1af/Znf6Zrr71Wn/zkJ+M+73TvYHIHND7OWbnBDfM7dgxvvvlmRvOqo6NDGzfW\nx10hqaystHC0ibl15Qqcr7KFFRoAjrK7XiTT1Y54P7d161atWrVKs2fP1smTJ1VUVKS9e/fqyiuv\n1Gc+85lJ457uHUzugCKXZWt+JwqcJqaJ3XLL1zO68HTDHj7ZXrlyQzCaCa+OG9PDCg0A22WrXiTT\nD7LIz82fP1+rVq3S1Vdfrb1792rr1q3R8e7evVvV1dX64Q9/SJ0L4CKRoGXmzAt0+nS3HnvsEQWD\n26ZVx5PsOPmwQpLNeiEreXXcsQjIEku2QkNAAyArWlpaJq2gWFVDY5WOjg5VV1dr48aNeuGFFxQM\nBqP/9vjjj+uDDz7Q008/7bpxA/nq46DlDkkPSvqEpP/Uk08+ppUrL7E8Tezw4cNqb2/XZZddpuXL\nl48bhxUXoW64mLU6EMwWr447Vi4EZHZKFtDMyPZg4Iy2tjanh4AclercqqmpUWdnp/bu3avOzk5X\nBgWRlsynT59Wf3+/enp6JEk9PT0aGRlRR0eHK8edizhnuU84HFZHR0fcneWd0tXVpZkzL9BYMLNP\n0uuSXtNNN92u+fPnT9qN/oMPOjNOEwuF9ujSS1frppv+UZdeulqh0J7o10tLl2njxnqVli6Lfj2T\n57fieaYr0nJ7LCiQYltuu5mT47bifBXbeGJgYL+Gh/cpELjBVX9vrpZog5ps/Sc21swKNn2CXXJt\nbkU26/T7/WZBQYF5wQUXmEVFRWYoFHJ6aHkl1+aV10U2aYzd1NENent7zdmzi0zp4nGbSxYWXhJ3\nc8m/+Zu7Mz5OvI0mDx06ZMkGlOlsZGnVZpSJnifdTTXdsjlmtjYDjceK85Wdm8rmCiXZWNPOQOUe\nSW9LOnD2v8sTfJ/drx8A0hL5gD506JArPqgBJzl5oZiKJ5/cZUq+hOOz4oI70cVmU1NT3K+//PLL\n0f9SOW6qF7NWBZZTPc/EQDDRcdwW6KY6bjdy+9+ZGzgZ0PyvFL7P1hcPAAAy58Sd43SDkCef3GXO\nnl1sFhZeYsuFbDorNAUFhWZBQZEplZvSXLOgYP6U40nlYjbR96QaNKVzrMj3JfsduPUC3C0rRpnw\nckCWDU4GNLek8H22vniMIX0DdmFuwQ7MK/fI9oVrpnf9U7mQnc68SnSxGfv1OXOKzwYzH79X0kJz\nzpziKd+vqS5m4wWW0lJz3rw/TOt9sipAJUXqY1aer7wckNktWUBj9z40XzcM439K+vnZ4GbA5uMB\nQFJu6CIEeInf71dj4xMKBNapoKBUp0+/pW984zZbjhVbGD08PNapKhBYpw0b1qe0r5Sdf9OJ9oGJ\n/frJkyf1xS/ertHRjwvTpTKdc86pKffdmmqfmXh74Uh9OnXq15LeTfl9smpPHTfszeMUOz9H2Jss\nM9MKaAzD+Kmk82K/JMmUdJekJyR90zRN0zCMb0l6VFIg3vPU1dVF/wCKi4t1ySWXRDe+inSO4DGP\neezexxFuGU+ix3fffbceffRRnXvuuerr69NNN92k9evXu2Z8PP748dq1a101nnx/XFu7WT7fbD3/\n/AsKhbr1yCPP6b77HtDtt/+V7rvvm5Yd78iRI5o1q+xsMDP275FOVW+++aYlryfCyvfH7/frzTff\n1Pvvv6+PPvqdIsGGdFRSlz780NSxY8d06tQprV27VuFwWM8995xKSkp01VVXpXS8N998U7fc8nV9\n5zvrNGPGhWcDmdsl+SX5ZRiL9Nxzz6m+vn7K52tsfEJ1das1c+Z5Ms0+NTY+EX1/P/3pT6urq0vH\njh1TcXFxSuMpKCjVBx906pZb/ip6Me6m+Wvl43ff/b0CgRs0Y8ZijY72qKnpKdXWbnbN+HLp8euv\nv67+/n5JmrJbXVb2oTEMo1TS86Zprojzb2Y2xgAgv6W7uScrOcB42djnI1f2EqmrC+r06SWS3lVB\nwQzt3v10dD+R6e41Eg6HdfDgQX3hC5v1wQf/pkzfp3jnuEzGlk/nylyYn17myD40hmGUxDz8oqRf\n2XUsTG3inSnAKl6ZW11dXVq0aJFKSsZOTSUlJVq0aFHcuz6hUEjl5eWqrq5WeXm5WlpasjxaeGVe\n5ZNs7PMRSW/z+dapqGilfL51amx8wrKLxWzMq9razXr77d/o5Zef0Msv/1DHjv02GhQp0Yb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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(14, 9))\n", "plt.ylim(-13, 13)\n", "plt.xlim(-13, 13)\n", "\n", "\n", "def plot_2d_draws(mu, cov, color, n_draws=100):\n", " x, y = zip(*[np.random.multivariate_normal(mu, cov) for _ in range(n_draws)])\n", " plt.scatter(x, y, c=color)\n", "\n", "\n", "\"\"\"\n", "The purple dots should center around `(x, y) = (0, 0)`. `np.diag([1, 1])` gives the covariance matrix `[[1, 0], [0, 1]]`:\n", "`x`-values have a variance of `var=1`; `y`-values have `var=1`; these values do not covary with one another\n", "(e.g. if `x` is larger than its mean, the corresponding `y` has 0 tendency to \"follow suit,\" i.e. trend larger than its \n", "mean as well).\n", "\"\"\"\n", "plot_2d_draws(\n", " mu=np.array([0, 0]),\n", " cov=np.diag([1, 1]),\n", " color='purple'\n", ")\n", "\n", "\"\"\"\n", "The blue dots should center around `(x, y) = (1, 3)`. Same story with the covariance.\n", "\"\"\"\n", "plot_2d_draws(\n", " mu=np.array([1, 3]),\n", " cov=np.diag([1, 1]),\n", " color='orange'\n", ")\n", "\n", "\"\"\"\n", "Here, the values along the diagonal of the covariance matrix are much larger: the cloud of green point should be much more\n", "disperse. There is no off-diagonal covariance (`x` and `y` values do not vary — above or below their respective means — *together*).\n", "\"\"\"\n", "plot_2d_draws(\n", " mu=np.array([8, 8]),\n", " cov=np.diag([4, 4]),\n", " color='green'\n", ")\n", "\n", "\"\"\"\n", "The covariance matrix has off-diagonal values of -2. This means that if `x` trends above its mean, `y` will tend to vary *twice as much,\n", "but in the opposite direction, i.e. below its mean.*\n", "\"\"\"\n", "plot_2d_draws(\n", " mu=np.array([-5, -2]),\n", " cov=np.array([[1, -2], [-2, 3]]),\n", " color='gray'\n", ")\n", "\n", "\"\"\"\n", "Covariances of 4.\n", "\"\"\"\n", "\n", "plot_2d_draws(\n", " mu=np.array([6, -5]),\n", " cov=np.array([[2, 4], [4, 2]]),\n", " color='blue'\n", ")\n", "\n", "_ = plt.title('Draws from 2D-Gaussians with Varying (mu, cov)')\n", "plt.grid(True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Gaussians are closed under linear maps" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Gaussian for the blue dots tells us the following:\n", "\n", "$$\n", "(x, y) \\sim \\text{Normal}(\\mu, \\Sigma)\n", "$$\n", "\n", "In other words, the draws $(x, y)$ are distributed normally with 2D-mean $\\mu$ and 2x2 covariance $\\Sigma$.\n", "\n", "Let's assume $(x, y)$ is a vector named $w$. Giving subscripts to the parameters of our Gaussian, we can rewrite the above as:\n", "\n", "$$\n", "w \\sim \\text{Normal}(\\mu_w, \\Sigma_w)\n", "$$\n", "\n", "Next, imagine we have some matrix $A$ of size 200x2. If $w$ is distributed as above, how is $Aw$ distributed? Gaussian algebra tells us the following:\n", "\n", "$$\n", "Aw \\sim \\text{Normal}(A\\mu_w,\\ A^T\\Sigma_w A)\n", "$$\n", "\n", "In other words, $Aw$, the \"linear map\" of $w$ onto $A$, is (incidentally) Gaussian-distributed as well.\n", "\n", "Let's plot some draws from this distribution. Let's assume each row of $A$ (of which there are 200, each containing 2 elements) is computed via the (arbitrary) function:\n", "\n", "```python\n", "def make_features(x):\n", " return np.array([3 * np.cos(x), np.abs(x - np.abs(x - 3))])\n", "```\n", "\n", "Now, how do we get $A$? Well, we could simply make such a matrix ourselves — `np.random.randn(200, 2)` for instance. Separately, imagine we start with a 200D vector $X$ of arbitrary floats, use the above function to make 2 \"features\" for each, then take the transpose. This gives us our 200x2 matrix $A$. Next, we'll multiply this matrix by our 2D vector of weights $\\mu_w$. You can think of the latter as passing a batch of data through a linear model (where our data have features $x = [x_1, x_2]$, and our parameters are $w = [w_1, w_2]$).\n", "\n", "Finally, we'll take draws from this $\\text{Normal}(A\\mu_w,\\ A^T\\Sigma_w A)$. This will give us tuples of the form `(x, y)`, where:\n", "- `x` is the original `x`-value\n", "- `y` is the value obtained after: making features out of $X$ and taking the transpose, giving $A$; taking the linear combination of $A$ with the mean-vector of weights; taking a draw from the multivariate-Gaussian we just defined, then plucking out the sample-element corresponding to `x`.\n", "\n", "**Each draw from our Gaussian will yield 200 `y`-values, each corresponding to its original `x`. In other words, it will yield 200 `(x, y)` tuples — which we can plot.**\n", "\n", "To make it clear that $A$ was computed as a function of $X$, let's rename it to $A = \\phi(X)^T$, and rewrite our distribution as follows:\n", "\n", "$$\n", "w\\phi(X)^T \\sim \\text{Normal}(\\phi(X)^T\\mu_w,\\ \\phi(X)^T\\Sigma_w \\phi(X))\n", "$$\n", "\n", "In addition, let's set $\\mu_w =$ `np.array([0, 0])` and $\\Sigma_w =$ np.diag([1, 2])`. Finally, we'll take draws, then plot." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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8M3z9NUybZkwEX7jQqNgmhL1o29bo0XnoIVhVyrWnbMi1tistV7TkyDNHSP2l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4Dhw8F77TW8Zv0swt4Iw6bITZi8bzLKa5pO7O+ItCRPBwC2bXsZHh5nIZU+YBQ5ObECN++8ozW9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A4OwKpVSr/dzAz4+GOuKVrVmDSJ07BUPN9UWg4c4P+1BsOUAejO0dm0aRNmzpyJU6dOYdSo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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# x-values\n", "x = np.linspace(-10, 10, 200)\n", "\n", "# Make features, as before\n", "phi_x = np.array([3 * np.cos(x), np.abs(x - np.abs(x - 3))]) # phi_x.shape: (2, len(x))\n", "\n", "# Params of distribution over weights\n", "mu_w = np.array([0, 0])\n", "cov_w = np.diag([1, 2])\n", "\n", "# Params of distribution over linear map (lm)\n", "mu_lm = phi_x.T @ mu_w\n", "cov_lm = phi_x.T @ cov_w @ phi_x\n", "\n", "plt.figure(figsize=(14, 9))\n", "plt.ylim(-10, 10)\n", "plt.xlim(-10, 10)\n", "plt.title('Random Draws from a Distribution over Linear Maps')\n", "\n", "for _ in range(17):\n", " # Plot draws. `lm` is a vector of 200 `y` values, each corresponding to the original `x`-values\n", " lm = np.random.multivariate_normal(mu_lm, cov_lm) # lm.shape: (200,)\n", " plt.plot(x, lm)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**This distribution over linear maps gives a distribution over functions**, where the \"mean function\" is $\\phi(X)^T\\mu_w$ (which reads directly from the `mu_lm` variable above).\n", "\n", "**Notwithstanding, I find this phrasing to be confusing**; to me, a \"distribution over functions\" sounds like some opaque object that spits out algebraic symbols via logic miles above my cognitive ceiling. As such, I instead think of this in more intuitive terms, as a **distribution over function evaluations**: a vector of floats $y$, where each $y_i$ corresponds to its initial input $x_i$.\n", "\n", "For example, given a vector `x = np.array([1, 2, 3])` and a function `lambda x: x**2`, an evaluation of this function gives `y = np.array([1, 4, 9])`. We now have tuples `[(1, 1), (2, 4), (3, 9)]`, which we can plot. This gives one \"function evaluation.\"\n", "\n", "Above, we did this 17 times then plotted the 200 resulting `(x, y)` tuples (as our input was a 200D vector $X$). This gave 17 curves. The curves are similar because of the given mean function `mu_lm`; they are different because of the given covariance matrix `cov_lm`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's try some different \"features\" for our x-values then plot the same thing." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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rrtWuTttKQ2xndPbtg6QkuP32mAzfrxQW/pJBg/5JbhAqrnqS6AjRzwwe/H8p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\nbYLO0gHz9+nA2IeHZkdkO1cgAcj42o/I+Jq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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# x-values\n", "x = np.linspace(-10, 10, 200)\n", "\n", "# Make different, though still arbitrary, features\n", "phi_x = np.array([x ** (1 + i) for i in range(2)])\n", "\n", "# Params of distribution over weights\n", "mu_w = np.array([0, 0])\n", "cov_w = np.diag([1, 2])\n", "\n", "# Params of distribution over linear map (lm)\n", "mu_lm = mu_w.T @ phi_x\n", "cov_lm = phi_x.T @ cov_w @ phi_x\n", "\n", "plt.figure(figsize=(14, 9))\n", "plt.ylim(-10, 10)\n", "plt.xlim(-10, 10)\n", "plt.title('Random Draws from a Distribution over Linear Maps')\n", "\n", "for _ in range(17):\n", " # Plot draws. `lm` is a vector of 200 `y` values, each corresponding to the original `x`-values\n", " lm = np.random.multivariate_normal(mu_lm, cov_lm) # lm.shape: (200,)\n", " plt.plot(x, lm)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The features we choose give a \"language\" with which we can express a relationship between $x$ and $y$. Some features are more expressive than others; ome restrict us entirely from expressing certain relationships.\n", "\n", "For further illustration, let's employ step functions as features and see what happens." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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REREREUk4KjoiIiIiIpJwVHRERERERCThqOiIiIiIiEjCUdEREREREZGEo6IjIiIiIiIJ\nR0VHREREREQSjoqOiIiIiIgkHBUdERERERFJOCo6IiIiIiKScFR0REREREQk4ajoiIiIiIhIwlHR\nERERERGRhKOiIyIiIiIiCUdFR0REREREEo6KjoiIiIiIJBwVHRERERERSTgqOiIiIiIiknBUdERE\nREREJOGo6IiIiIiISMJR0RERERERkYSjoiMiIiIiIglHRUdERERERBKOio6IiIiIiCQcFR0RERER\nEUk4KjoiIiIiIpJwVHRERERERCThqOiIiIiIiEjCUdEREREREZGEo6IjIiIiIiIJR0VHREREREQS\njoqOiIiIiIgkHBUdERERERFJOCo6IiIiIiKScFR0REREREQk4ajoiIiIiIhIwlHRERERERGRhKOi\nIyIiIiIiCUdFR0REREREEo6KjoiIiIiIJBwVHRERERERSTgqOiIiIiIiknBUdEREREREJOGo6IiI\niIiISMJR0RERERERkYSjoiMiIiIiIglHRUdERERERBKOio6IiIiIiCQcFR0REREREUk4KjoiIiIi\nIpJwVHRERERERCThqOiIiIiIiEjCUdEREREREZGEo6IjIiIiIiIJR0VHREREREQSjoqOiIiIiIgk\nHBUdERERERFJOCo6IiIiIiKScFR0REREREQk4ajoiIiIiIhIwlHRERERERGRhKOiIyIiIiIiCUdF\nR0REREREEo6KjoiIiIiIJBwVHRERERERSTgqOiIiIiIiknBUdEREREREJOGo6IiIiIiISMJR0RER\nERERkYSjoiMiIiIiIglHRUdERERERBKOio6IiIiIiCQcFR0REREREUk4KjoiIiIiIpJwVHRERERE\nRCThqOiIiIiIiEjCUdEREREREZGEo6IjIiIiIiIJR0VHREREREQSjoqOiIiIiIgkHBUdERERERFJ\nOCo6IiIiIiKScFR0REREREQk4ajoiIiIiIhIwlHRERERERGRhKOiIyIiIiIiCUdFR0REREREEo6K\njoiIiIiIJBwVHRERERERSTgqOiIiIiIiknBUdEREREREJOGo6IiIiIiISMJR0RERERERkYSjoiMi\nIiIiIglHRUdERERERBKOio6IiIiIiCQcFR0REREREUk4KjoiIiIiIpJwVHRERERERCThqOiIiIiI\niEjCSXYdAODGG290HUFERBwLBAJcfPHF5OXluY4iIiIJwIui09jY6DqCiIg4tmjRIjo6Orj22mtd\nRxERkQRgrLVuAxhjXWcQERH3Fi5cyGWXXcayZctcRxEREc8YY7DWml35O1qjIyIiXjjiiCNobGzk\n7bffdh1FREQSgIqOiIh4IRAIcMYZZ3D//fe7jiIiIglARUdERLxx5pln8ve//911DBERSQBaoyMi\nIt6IRCIUFRWxfPlyiouLXccRERFPaI2OiIiMaaFQiJNPPpkHHnjAdRQRERnjvNheWkREZMBZZ53F\nr3/9az7xiSI6Oha7jjMoL+8UsrOPdh1DRERGaZ9PXTPGvAe0Af1A1Fo7b6vbNXVNREQGdXZ2Ulxc\nzH33FTF58qkEg+4vIBqNNtLc/BiHHfYWxuzSzAkREdkLdmfq2v4Y0ekH5ltrW/bDY4mIyBiXkZHB\n/PnH8vTTCzj++OsJBEKuI2Gtpbl5AW1tzzN+/IdcxxERkVHYH2t0zH56HBERSRAnnzyPhQtTvSg5\nEHsnccKES9mw4f9cRxERkVHaHyM6FnjcGGOB26y1v90PjykiImPYsceG+frXu1mzZg0pKSmu4wCQ\nl3cu7713DdFokxfT6UREZMf2R9E5ylq70RhTADxpjFlhrX1h6Ddcc801gx/Pnz+f+fPn74dYIiLi\nq1DoPU45ZTZHH+3H4v/e3l4qKiq49dZT2LjxD5SVfc11JBGRhPbMM8/wzDPP7NF97Nfr6Bhjvg90\nWGtvHvI1bUYgIiLDLFt2GkVFn6ag4CzXUQDo7+/nhBNO4NBDJ3LGGS8yb94KbUogIrIfeXcdHWNM\nujEmM/5xBvAxYPm+fEwRERn7OjuXk5Ex03WMQYFAgD/84Q/ccccjvPlmD21tz7mOJCIiO7GvNwko\nBF4wxrwOvAw8ZK19Yh8/poiIjGG9vZuIRDaSljbVdZRhiouLue2227juunaqqn7lOo6IiOzEfp26\nNmIATV0TEZEh2tsXsWrV5Rx66Guuo4zo8ss/yzvv3MXDD9eQklLgOo6IyPvC7kxdU9ERERGv1Nbe\nTmvrM8yYcafrKCPq6upi1qxiysstWVnpruMAMHFiOb/4xUICAV3NQUQSk68XDBURERk139bnbC09\nPZ0nn3yJRx+93XUUAPr7u/nd7/6Pq6++mhtvvNF1HBERb6joiIiIVzo7l5OT8xHXMXZoypQZfPGL\nP3EdA4D+/l4mTfoNV175ANOmTePSSy91HUlExAsqOiIi4hXfR3R8Ewgkk5eXwwMP3Mlxx53BpEmT\n+NjHPuY6loiIcyo6IiLijWi0ib6+TaSklLmOMqYEg4VMnJjBfffdx1lnncWCBQuoqKhwHQuApKQk\nUlNTXccQkfchFR0REfFGZ+e/yciYqYtx7qJQKEw0Ws8xxxzPL37xCz784Q/T29vrOhYA0WiUdevW\nUVhY6DqKiLzPqOiIiIg3NG1t9wSDYSKRegDOPfdczj33XMeJtpg3bx5r1qxR0RGR/U77UIqIiDdU\ndHZPKBQmEqlzHWNEpaWlrF+/3nUMEXkfUtERERFvqOjsnlCokGi03nWMEZWWllJTU+M6hoi8D6no\niIiIF6y1Kjq7aejUNd9oREdEXFHRERERL0QitRiTTCgUdh1lzIltRuDn1LWSkhIVHRFxQkVHRES8\noNGc3acRHRGRbanoiIiIF1R0dp/W6IiIbMuL7aWXL/9P1xFERMSxzs6llJV9w3WMMcnnEZ3i4mJq\namro7+8nEND7qyKy/3hRdMLhc1xHEBERx4w5l5ycj7mOMSYlJWUAlt7eTSQnZ7qOM0xaWhpZWVk0\nNjYSDmv9lYjsP54UHY3oiIiI7C5jzOD0Nd+KDmxZp6OiIyL7k8aQRUREEoDP09e0TkdEXFDRERER\nSQDaYlpEZDgVHRERkQTg+4iOio6I7G8qOiIiIglAW0yLiAynoiMiIpIAfB7R0dQ1EXFBRUdERCQB\nhEJhIhE/1+ho6pqIuKCiIyIikgB8n7q2fv16rLWuo4jI+4iKjoiISALweerauHHjCAQCtLe3u44i\nIu8jKjoiIiIJILa9tJ9FB7ROR0T2PxUdERGRBJCcnEdvbwv9/b2uo4xI63REZH9T0REREUkAgUAy\nyck59PY2uY4yIm0xLSL7m4qOiIhIgvB5nY6mronI/qaiIyIikiC0xbSIyBYqOiIiIgkiGPR3QwIV\nHRHZ31R0REREEkQoVOjt1DWt0RGR/U1FR0REJEH4vMW01uiIyP6moiMiIpIgYpsR+LlGJz8/n87O\nTrq7u11HEZH3CRUdERGRBBEKFXo7omOMoaSkRNPXRGS/UdERERFJED5vLw2aviYi+5eKjoiISILw\neXtp0M5rIrJ/qeiIiIgkiIHtpa21rqOMSEVHRPYnFR0REZEEkZycCRj6+jpdRxmRtpgWkf1JRUdE\nRCSBaItpEZEYFR0REZEE4vMW05q6JiL7U7LrACIiIrL3+LzFdGlpKTXr1sG6da6jbFFSAgG97yuS\niFR0REREEojPW0wXFRbSXFfH0dOmuY4CgOnt5b+vvJITf/xj11FEZB9Q0REREUkgPq/RSersZEla\nGq1PPuk6CgDVP/oRn771Vt746lcpKipyHUdE9jIVHRERkQQSDIbZvPld1zFG1tTEjIJcuufmuk4C\nwGFHzmB5UxOf+cxneOSRRzDGuI4kInuRio6IiEgCCYUKaW9/2XWMYXp726mvv4e2539OWVodb/37\nLNeRABjftY6rig/kI+sa+M1vfsPnP/9515FEZC9S0REREUkgoVCYtrbnWbnyYtdRAOjt7aCl5Sly\ncj5Cedr5ZJQ/x7x5T7iOBUBT1ZdIev5v3H33vzjmmGM47rjjqKiocB1LRPYSFR0REZEEMm7cUUyZ\ncj3W9rmOAoAxQaZPv5VQKAxv3A15b7mONCht0tHY+tuoqKjg2muv5VOf+hR33nmnN1PYSkpKyMrK\nch1DZMxS0REREUkgSUlpFBVd6DrGyBobIS/PdYpBaeWHE2mJEI028fnPf57Fixdz5plnuo4FwKZN\nm5g/fz5333236ygiY5aKjoiIiOwfTU2Qn+86xSATLiLYAi1tL5GXfyq3336760iD3njjDT71qU+5\njiEypukKWSIiIrJ/NDV5NaJDaiqkhthU86zrJNuorKzknXfeIRKJuI4iMmap6IiIiMj+4VvRAWxB\nLl3vveg6xjZSU1OZNGkSK1eudB1FZMxS0REREZH9o7HRq6lrAKaolMi6pd5s3jDUrFmzWLZsmesY\nImOWio6IiIjsHx6O6ASKSknrGEdnpz+7wQ1Q0RHZMyo6IiIisn94WHQIh8naPNG7i6yCio7InlLR\nERERkf3Dw6lrhMNkbCqgvf0l10m2oaIjsmdUdERERGTf6+oCayE93XWS4cJhUtvTvRzRmTx5Ms3N\nzbS2trqOIjImqeiIiIjIvjcwbc0Y10mGC4cJtvTT07OOaLTFdZphAoEABx10EMuXL3cdRWRMUtER\nERGRfa+x0b/1OQDhMKa+nszMQ+joWOQ6zTZmzZqloiOym1R0REREZN9ravJvfQ5AYSHU15OdfSRt\nbVqnI5JIkl0HEBERkb2rr6sP229dxwDAJBuSUpP83HENIByG+nrGjTuCmppfu06zjVmzZvG3v/3N\ndQyRMUlFR0REJIG0PtfK0o8txST7sRbGRixHrjuSkK9FJycHOjoYl3owKztewdp+jPFnwsvMmTNZ\ntmwZ1lqMb+ubRDynoiMiIpJANt6xkSk3TKHsK2WuowCw+ODF9KzvIeTj1tIAgQDk5xNqTyI5OYf1\n639OMOhHzuzsowmHpxIKhaipqaG0tNR1JJExRUVHREQkQfRt7qPxH41M/tFk11EGBcNBIvWR2NS1\nSZNcxxlZfPraxInfpq3tOddpAIhGm9i48Q7mzn16cJ2Oio7IrlHRERERSRDNjzaT+YFMUiakuI4y\nKBQOEa2PxorOIYe4jjOycBjq6iieewnFxZe4TgNAX18XCxcWEY22Dhadk046yXUskTHFn0moIiIi\nskfq76mn8LxC1zGGCYaDROoi/m4vDYM7r/kkKSmd7OwP0dLyhHZeE9lNGtEREREvvfvtd2n5lz8X\ncCz4jwImfmOi6xjb1dveS/MTzUy/bbrrKMOECkOxouPr9tIwOHXNN3l5p9DU9DCzZl3BL3/5S9dx\nRMYcFR0REfHSxjs2UvH/KkjOc/+/KhuxvHX2W2R/MJvsI7JdxxlR4wONjJ8/nmBO0HWUYULhEJ3L\nOv3dXhq8Ljrvvfc95s79X6qqqohGowSDfv18RXzm/v8eIiIiW+nZ0IPtteSenOvNlrrTfjGNqs9U\ncchrh8SuC+OZuj/VMeHiCa5jbGPYZgQ+F52qKtcptpGaOpFQaAK9vcspLS1l9erVHHjgga5jiYwZ\nWqMjIiLe6Xitg8xDMr0pOQAFnyggvTKdtdetdR1lG5H6CO0vt5P3cf+KRKgwRG9tF3R2Qrafo2G+\njugA5OWdGp++pnU6IrtKIzoiIuKdTUs2kXVwlusYwxhjOODWA1g8ZzEFZxWQdYg/+Rr+2kDeqXkk\npfs30hQMB+mva4Tc3Ng1a3wU33XNR3l5p7Jq1eeZM+csrrzySn7605+6jgRARUUFd955p1dvRmxP\nT08PkUjEdYxBmZl+vYmTyFR0RETEOx1LOii6qMh1jG2kFKUw9aaprPzMSg559RACIT9O3OvuqaP8\nW+WuY4woVBCCpibstDy8PbXzcNe1AePGHU5PTw1f/OI5Xm0vfdFFF/Hcc89x7LHHuo6yQ9ZaSktL\n2bx5s+soQKx0/fa3v+Wiiy5yHeV9QUVHRES80/FaB9N+Mc11jBEVfqqQpfcv5fsf/z4mxY9T9/zu\nfOZ+dK7rGCMKpARISenAjve46BQUxIqOteDZO+3GJJGXdxIdNY9T/NJZruMMuuiDF3HLLbd4X3Sa\nm5vp7e3auvwZAAAgAElEQVSlo6PDdRQAbrrpJt544w0Vnf3Ei6LT3NzsOoKIiDhmjCEnJ4dIXYT+\nrn5SJ6W6jjQiYwzPXv4sC95awIHj3C8M7+7v5pXWV/hS6Euuo2xX6rhO+jNy/F0YnJ4OwSB0dMC4\nca7TbCM39xRWP3ArOS8cT6g45DoOts8y95653Bi8kZqaGkpKSlxH2q733nuH4uJsamt/7zoKAOHw\nep58Umut9hcvis60aX6+ayciIvtPT08PV1xxBd849htkHuz3HPbGnkYuPeZSLj/0ctdR2Ny7mXHX\nj8Na6+0xS83opC9lvB8nHdszsCGBh0XHLJ5HSt/FzMj7BYFeP7aXDpLEJ0/7JLfddhvXXnut6zjb\n6O/vpa7uLv75z6vJz++jtfUZ15EAyMh4gbfe2nJ9sJuqq3mpvd1houFOz8/nwiL/pg3vLi/+zdGI\njoiINDU1MW/ePArfLuS0Q05zHWeHGroaKEgvcB0DgNTkVDJCGbRsbiE3Ldd1nBGFUjroTc4mxXWQ\nHRkoOp69+Wr7LGuvbmJKXgY9JW8TnHeC60jQvZmynp9y9jG/5rzvfpnLLptDUpIfa2AAentbWb/+\n54RCxcC5zJwZZcaM/3UdC4Dk5O/R0HA9XV1d3NvWxm9ra/nh5MlevEmxpKODvzY0qOiIiIjsbXl5\neTz44IN86OAPMeN7M5jKVNeRtquhs4GCDD+KDkBRZhEbN230t+gkd9BrPD958nTntbo/1pGc1U/O\n6928+rU3iOa+6ToS9FuO6u8gpeh7lJREufvu/+HUUyvAk1VYxiQzffqvGT/+OP70p6uYONGf60ul\npxdRXj6O+5Ys4epAgOfmzqUyI8N1LACKQyH+2dKy828cQ1R0RETEGwcddBBXjbuKz/7qs7x68asU\nFxe7jjSi+s56b0Z0YEvRObDA/ZqhkQRNG5v7D3AdY8c8vJZO3+Y+1nx3DbO+XEvAzubw015yHWlQ\nX0Yhhff9nquvruOXv/wlV111j+tII6qurubggw92HWNQMFhAWXkqX/nXv7jzC1/wpuQAhEMhGqJR\n1zH2KhUdERHxRqQxwlHRo4h+OcqZZ57Jdddd5zrSoJkzZw4Wr4auBsIZYceJtijMKGTjpo2uY2xX\ncl87kYh/a1+G8XCL6Q2/3kDmnEwy3/0XnH666zjD2Pwwvf+u4fTf/gdf+cpXePPNN5k9e7brWNuo\nrq6mvNyjrdeT8kib0Mfc5mZOzc93nWaYgmBQRUdERGRf2fTaJrI+kMV3vvMd2tvbuemmm1xHAqCu\nro7Zs2dz1113Ee2LsimyiZy0HNexBhVlFlG3yb9pVwOSe1ro6c50HWPHwmH636oiUu3HWpP+zf1U\n31DNnKdmwykPwoIFriMNY0oK6Vu+gWAwyGWXXcY3v/lNPv7xj7uOBUBGRgbnnXcewWCQNWvX8tX2\ndjoXLXIdC4DMaB1Hlvezocq/NyaykpKI9vfT3ddHWpJ/Fx/eHSo6IiLijY4lHWQeEttx7cYbb3Qd\nZ9DLL7/MFVdcAUBjVyO5abkEjD+bJQ9MXfNVoLuVzR3+TNEZUThM+/WP8O/7lxBI8eNnW3RREZm9\nb0MoBDNmuI4zTKB8AkmLmoi2RvnCF75Ac3Mzy5cvdx0LgKeffppAIMCcU0+lrrGRKysrOdGT0ZP+\naJhXV/bwzwdWuI6yDWMMBfHpaxNVdERERPaujiUdFJzlz9qXARUVFVRVVWGt9WrHtQFFmUWsaPTv\nxGlAoKOF7uR01zF2LBzGtDRy8MqDSZuU5jrNFtdeG5u25sGuXEOZwkIyCjbRtbKL3CNy+dnPfuY6\n0qCHH36Yb/z3f9OQkkJeYSHHf7qFzo1+jHha+in+ySaqllXx7PhnMT0G229dxxp06ZnJ1N8WYWKq\nn9cx21UqOiIi4o1Nr21iyg+nuI6xjZycHFJTU6mtraV+c71X63PA8zU6fX3Q0UpXv98nTn2ZeSRH\nmkkt8yzngw/CzTe7TrGtcJi0cSvpWtFF9hHZNEYi9Fo/TtjTjzyS1c3NXLBqFasKJ9KztodZj81y\nHWvQG/X5FJYkU/RgEdMqp2GS/CixLf9q4b3vr0iodToqOiIi4oVoc5RoY5S0Azx6N32IyspKqqqq\naMj3a2tp8HyNTmsrZGXR3xmgv6ffm2lhW+velEVKoMWbk04A1q2DtWvh6KNdJ9lWYSEpoVdoXdHF\nm5s2cciSJeQl+3FaGQoEuPSKK3jl3nspTypn/PzxZFT6M3Uy1BFmemUWb9e+TcXBFa7jDEqdmEp2\nk6VeRUdERGTv2vT6JjLnZmICHp1oDlFRUcHKlSuJHhz1cuqatyM6TU2YvDyCGUEi9RH/RkziuurT\nyOjvhN5e8OSEnYcegpNP9ifPUIWFhGima2UXdZEIx2Zn89Tcua5TDeqcPZvwNddwwIQDyP5Qtus4\nwwSDYaZOHcfKlSsZP348y5Ytcx0JgL7OPszGEF0Rj3ap20Me/uaIiMj7UceSDjIP9ndnroERnayK\nLO+KTkFGAU3dTfT195EU8GwRcVMT5OURioaI1kf9LTqre+hLyya5sRF8uTL8gw/CJZe4TjGycJik\nnma6VnTR2tvLeM/KWEZGBtOmTWP1ytWMP3a86zjDBIMFTJ2awaOPPspPfvITTj/9dIwHa7Cqq6tp\n627ngx3zXUfZa7x4Vb5Y+KLrCCIi4lhfex8Vd/gzjWNrFRUVPPXUU5R3lTO70K/rhSQHkslJzaGh\nq4GiTE9O0gc0NkJ+PsG+2IiOr7pXdWNzCmLX0vGh6LS3w8KF8Ne/uk4yssJCAq0NbG7eTPumCNme\nFR2AcanjWBJdQk9uD2n4MyU2FApTW1vF888/z6uvvsqcOXNcRwJg0aJFfOqpC+nc0AMHuU6zd3jx\nqjzszcNcRxAREdcMBAuCrlNs18DUtbTONO82I4At63S8KzoDIzomNqLjq66qLphQBBdcANkeTHVq\nb4djjoGsLNdJRlZQgGloIG1qCpvf3cz4SV6cUg5Tt66OQ4sO5fbbb+drX/ua6ziDFizYyF13vUB6\nero3JQegtLSUJhrp2dDjOspe48WrMlQYch1BRERkhyZPnszGjRup21Tn3dQ12LJOZw7+nDgBW4pO\ncohInZ8jOtZaulZ1wbP/D9pqXMfZYuZM1wm2LxSCrCyypvbSX7WZ8VND9PX5cbFVYwIYE2R9w3p+\n+MUf8tWbv0pra6vrWAC0t7dzzz2Pc/vtJ3Lhhf+ksbGRfE+u8VNYWEh7bxvRmm7XUfYaL4qOiIiI\n75KTk5k8eTIbWjd4t+saeLwhwcDUtVDQ26ITbYhikgzBOVOBqa7jjB2FhWSWdJLdtoSD1l7FC9Xu\n15lArOhMmfIQSX1JnHzpybTPbKemxo8Cm5uby/33/w9ZWf9kxowZrFy5kmOOOcZ1LACSkpLITc+j\ne42nOzjuBhUdERGRUaqsrOTJ7ie9HtHxTlMTlJcTSgvRuazTdZoRdVV1kV7h+QVNfRQOkxZuZsKB\nN9JQdidnTz3bdSIA1q//Je9W/YDCQCHplel8dsZnXUcaprX1Bd599x4qKytZsWKFN0UHYELOBHqq\na13H2Gv83MxeRETEQwdUHEBXXxe5abmuo2zD24uGxqeuBQv93Yyge1U3adP9Waw+ZhQW0lxxL33v\nHkDKuONcpxk0YcLniESXcsgh473YzWxroVCYaLSByspKVq5c6TrOMCXhYqhvpLOvz3WUvUJFR0RE\nZJSKpxUT7A36t4Uz8c0IOj2cctLYGFujEw4RrfNzM4KuVV2kT9eIzq7qnpxC/YSnCPz884z36Hci\nKSmNNU8fyomfanQdZUTBYJhIpH5w6ppPSktLobmRhoifb0rsKk1dExERGaW8iXmYFf69QwxbTV3r\n6QFr3QYaMLBGJ9ffEZ2uqi6KLvBst7ox4O15iyl7bx6v9RSRV9sPea4TbbHwrjzOveNlOjtXkpFR\n6TrOMMnJ2fT3dzN9+hRWrFjhOs4wpZNKWf/cv2mIRpmUNvZHOVV0RERERimrMItoaxRrrXdTYgaL\nzhtvwKGHgi/XNUlNhZISQlkhog1+HjtNXdt1TU2P0pXVzEFPHMlD5VDxdhQ82SSuZ2MP1Y2NbO45\nierq65kx4w+uIw1jjCEYLKC0NJMNGzbQ3d1NmielYmLFRJ7sfJqGqJ+jr7vKk38FRURE/Lc5sJmk\nniRqa2spLi52HWeYwsz4Gp0NG+CjH4XHHnMdaZgAkJSRRG9LL8Fcf66XZPssm9dsJm2aHyea27N5\n81rq6//iOsagDRt+wwGRywjUvsF75ZC02p9rr7Q930ZjRiO5ud+gqel8urvfJS1tiutYw4RCYaxt\nZurUqbzwwgtUVPhxseTCyYW0RBup7+zxaoRud6noiIiIjFJDVwN5qXmsXLnSu6KTm5bLpsgmok0N\nBMePdx1nRMFwbPqaT0Vn83ubCRYGSUrzZ43JSNas+R69vc2kp/sxDaus7Ery7Fxs/RO8faSlv8qP\na+gAtD7bSl1/HeXlBxGNfp7q6huoqLjNdaxhgsECotEGTjjhBD77WT92hevu7uaII46gIdBAa+1m\nmOg60Z5T0RERERml+s56isYVUVVVxXHH+bPLFEDABAhnhOloqCE3O9t1nBGFwiGi9VHw41wdGBsb\nEfT3R2lqephDD11Kamqp6zhbbH4HW1dH3ZQATdc2snTtUteJAGhe3ExzVzMTJkygv/8rvPpMOfXV\nv3cda9D03OsIpsU2JLj55pu5+eabXUcC4PXXX+eCCy6g2TbTkSAXDVXRERERGaWGzgYm5U/ybqek\nAUWZRXStqSHX1xEdD7eYHgvX0GltfYa0tGl+lRyAwkKoq2P9nAAH/fUgbK8nG2A0wYRvTiA5ORla\nkjjybEP/jTe5TgVA+5I7WX36T8mddh7RaL3rOMNMnz6dd999l9SkVFpW1QEHuY60x1R0RERERqmh\nq4EDSg5g6bN+vHO9tcLMQrqb6mCyZyfEcT5uMd29qpv0GX4XncbG+ykoOMt1jG1lZoIxFPX3kvPh\nHNdpBi17dhkTJ8bnXb35JoED5xD43JfchorLaY+Q1HMjvb2tRCKpruMMk5GRQX5+PrQl0/JOjes4\ne4WuoyMiIjJKDV0NzJoyi6qqKtdRRlSUUURvcwP4OqIT9nBEZ5XfIzrW9tPYeD/5+We6jjKiSH4+\nk9vaXMcYprq6ekvRWboU5sxxG2gIU1JK6eLJdHS86t2IDkBlZSUZ6Rlsqvbw4sO7QUVHRERklBo6\nG5g1dRa1tbV0d/s3h70os4j+lhbwdY1OYXyNjke6q/zeWrq9/WWCwXzS06e7jjKi7oICytrbXccY\nZpuiM3u220BDlZQQfi5AJFJLd/c7rtNso7KyklBKkK6NKjoiIiLvK/Wd9UwYN4EpU6awevVq13G2\nUZRZBG1t3o7ohMIhr0Z0+jr7iDZGSS3zawrRUA0Nf/d2NAegMy+PktZW1zGG8XlEh5ISAtW1FBR8\ngq4uvy4WCsS2uU7up7u5wXWUvUJFR0REZBT6+vto3dxKXloelZWVXm5IUJRZRHLHJm9HdILhIJE6\nf4pO99vdpE1LwyT5dQHTAdba+LQ1D9fnxLXn5VHY0uI6xjDV1dWUl5dDby+89RbMmuU60hbFxVBb\ny4TCzxCNNhGJ+FUoKisr6Yp0srm9gc6+Ptdx9pg2IxARERmFpu4mctJySAokMWPGDK6++mp+9atf\nuY4FwIwZM7jtttsozCwk1NHt9YiOT1PXuqq6vJ621tn5JmDJzPRoRGIrLXl5ZK9bxwUXXEAk4keJ\nfeWVV/jJT34Cq1ZBSUls0wRfpKZCVhbpXQVAgA0bfsOkSd91nWpQZWUlje2NZHSPpz4SYXKav78f\no6GiIyIiMgoNnQ0UpBcAcNVVV3HiiSc6ThRjreX000/nuuuuoyiziLSuiL8jOp5tL+37RgSxaWtn\nYYyfI04AjTk5RO69F3PEEZx1lh8jT+eccw4HHngg/PnPfk1bG1BaStLGVowJUFPzv5SVfQ1jQq5T\nATBhwgR6Ij00Reuo71HREREReV+o76ynICNWdLKzs/ngBz/oONEWxx9/PI8//jhnnH0GSV193o7o\nJGfHTjueH/+84yQx/d39VP7eo6uXbqWx8X6mT/+16xg7VA2UrFnDzQsXxrYm9smbb/pZdEpKMDU1\nhPILyciYxQsv+PH7am0/hYXnM336dKqWVtFY2w3j/XzTZLRUdEREREahoWvLiI5vTjzxRBYsWMAF\n55xDXx9sClo8mqwzyBjDUbVH0d/T7zrKoIHyBdDb20ZPzwaHabaIRGqJRhsYN+5I11F26OXnn+db\n4bB/JQdiGxFcfrnrFNsqKYGaGoITwkyadA2zZz/iOhEAmzevY8mSgznooI/y76X/pnZ1A8woch1r\nj6joiIiIjMLQqWu+OeGEE7j66qvpb2mhIzVAc2c9mSlZrmONKCktiaS0JNcxtmFtH6+9diTW9mKM\nH/lKS7+GMf7uG1VdXc2yV19lYjjsOsrIfNtxbUC86ISOCnt1LZ3U1DKSk3M4+OAc/vHnNNa/tQ5O\n82gjh92goiMiIjIKDV0NhDP8PKErKyujqKiI5S++SH56kLrOOqbmTnUda0ypr/8ryck5fOADL3i9\nJsYnN9xwA32nnkra44+7jrKtxkbo7ISBbaZ9UlICCxcSDBZ4t+va+PHHUVHRSSApifq317uOs8dU\ndEREREahobOBGQUzXMfYrhNPPJFXHn+c4zNT2bgpMS72t79Y28/atdcxbdrNKjmjtG7dOu69914K\n/vhHkv/2N4hEIOTHgnpgy4VCjWHpUmhqch0oxhg4JlxCsKaGUGi2VyM6ADk5x5GTcyt99NJc7cc0\nzj2hoiMiIjIK9V31fCj9Q65jbNdJJ53E/VdcwbFZGSo6u6ih4e8kJWWSk/Mx11HGjBtuuIHPfe5z\n3JWdTX9BAUn19VBa6jrWFvFpa9bCEUfE/vjQYaur4aoTS7i0poZg8HgiEb+Kzvjx8+nvv5Se3i5a\na1V0RERE3hcaOhsGd13z0THHHMPta9YQ/UCpis4uGBjNmTLlR16P5jz88MNce+21rmMMeuedd6iq\nquKWFSsgHAYfi84HP0hzM6SkwNNPuw4U889/wg3fGCg6YTo7/+060jChUJjU1ImUT1xDQ8Ma13H2\nmIqOiIjIKPi8RgcgJSWFwyoqaLNd1G2qcx1nzGhsfBBjksnNPZlLHryEB6sedB1p0CUHX8KPjv8R\nAC+++CLz5s3j05/+tNtQcUVFRYzPy6Onv59AYSHUefaaW7oUvvhFamthwgTXYbb44AfhP97JxUY2\nE+od593UNYit0/nAnHtZ8kSN6yh7TEVHRERkFHzedW3AoVOnsvHtRbzX9h417X6cpISSQt6OhFlr\nWbv2B0ya9H0AHlr1EE9d+BRFme631F3RsILLH7l8sOjU19dz5JFHcthhhzlOtkVjJEJ2cjLGt6IT\njcKqVTBzJrUv+FV0QiH42AmGjmdLSGm0RPr82owAYut05h58D/96qAFrrdcjnTujoiMiIrITff19\ntGxuIS89z3WUHTqotJSXnn2MFQ0rmPf/5rmOA0BjVyMrvrCCKTlTAOjufofe3nbHqWI6Ol7F2n7y\n8k5jfft6DIZZ4VlenNjlpeVR21FLY1cj+en5NDQ0UFDgV2Fs7e0lOzl5y9Q1X6xcCeXlkJZGbS0U\nF7sONNypp8K6f5VwQEOUaJZHxy0uO/tDHFDRSmc/dPT2Mi4YdB1pt6noiIiI7ERzdzPjUsaRHPD7\nf5s5gQBRk8GDH36QuXPnuo4DwNn3nc0L1S8wJWcK1vbz6qszSU+vdB0rzjB16k0YY1i8YTGHFh/q\nRckBSAokcXjp4Sxct5DTKk6jvr6esGfXq2nr62N8cjIUFsJGj9aFDbl+jm9T1wBOOgme+WwJ09Z1\nEplW792oSTA4nvz8yURNFes3tHNgud9v8OzIPv8X2xhzIvBzIAD8zlr74339mCIiIntTQ5f/09YA\naG1l0pw5LFiwwJuic1TpUby07iUunHMh0WgjgUAGhx76uutY2xgoOj45uuxoXqx+0duiMziiU1gI\nb77pOs4WWxUd3y6lU1AAkYIS1i5sxByQTF/fJpKT/brAbzj8UdLTqli5dI2KzvaY2OV8bwGOBzYA\nrxpj/mGtXbkvH1dERGRvauj0eyOCQW1tzDjySC774Q/53e9+5zoNAP0T+kk7Ow2ASGQjoZD79S8j\nWVy7mCvmXeE6xjBHlx3N95+JrR/ysei09fbGRnTCYVizBlascB0p5pVX4JvfBGDDBjj8cMd5RlB4\ncAkbFr9L6ufCRKP13hWd4uJTKSi4hTcXvclZp/n1BsCu2NcjOvOA1dbatQDGmHuB0wEVHRERGTMa\nuvzeWnpQaytzjz2WpRdfTF9fn+s0AJzxH2fwbsu7tPe00xvZSEqKZ/OIiG1KsHjDYg6ZcIjrKMMc\nXno4b2x8g+b2Znp7e8nMzHQdaZi23l6yk5KgshLa2uCss1xHigmFYF5sjZqPU9cADvhwCW9973ky\nkwuIROpJS5vqOtIw48cfQ0kJrFj6KvAZ13F2274uOiXAuiGfrydWfkRERHbolD+dwmOrH3MdAwCL\n5RtHfcN1jJ1ra8Pk5DBlyhTXSQZNmzwNUmFRzSJmptd6OaLzXut7pCWnMSHLrzPizFAmlfmVPL3y\nacLhsFfrOCA2dW18cjJMmgTLlrmOMyJfi87EI0po6q2hev2RbN78cQKBVNeRgNh1dHJyPkpu7gmk\npabQ1LzIdaQ9sq+Lzki/kXYfP6aIiIxxbze/zeINi+n+TjfBJD92/DEj/i/NM62tkJ3tOsUwZWVl\ndPZ2snDdQqZPTvGy6Pi4PmfA0WVH88y7z3g3bQ3iIzrJ/m7QYS1e7roGYEpLmBys4fEVN/LVr17p\nOs6gnp61NDc/QVXVdylvO5DPr/03Swr8KGG7Y1+/OtcDQ5eAlRJbqzPMNddcM/jx/PnzmT9//j6O\nJSIiPrtr6V2cO/NcUpJTXEcZW9raYPx41ymGKSsro6alhpfWv8R5JZW0tpbx0kuuU8UYA4cd5nnR\nmXg0Nz91s5dFp7W3l4mp/p4Ed3TEfsZZfi1/iZkwgeyeOh57OIlvfavUdZpBqamlrF9/NJdc9m3O\n7z+U1WkTeLrczS6JG1qb2NDWPOQr7+zyfezrovMqMM0YUw7UAucA5279TUOLjoiIvL9Za7nrzbu4\n75P3uY4ytlgbKzoejui89OZLvJzzMt1zxvHtP1TydmCb9zydaGmBrx2Wz+Lsxd5OTTy67Gg+2/5Z\nziw403WUbQxuL+0pX6etARAKYXJzqF1az6pVE7x4f8Ja+OMf4frrLcUn/YzkZU10ps7h/573Ywrx\n7kzd3KevTmttnzHmi8ATbNle2pMtOURExEcvrnuR9GA6Hyj6gOsoY0tXV2wRtmcX9ysrK6PhvQby\nDs+jpuUdmk46io9O7XAdC4An1rfzhyd6aexc4t1GBANKxpUQtEGChX79XGHI9tKe8rroAKa0lM9N\nreGYY/wJOWsWfPm391C94HZSkprJzfBvqumu2OevTmvtAqBiXz+OiIgkhjuX3smFcy70buG19zxc\nnwOxorNu3Trml82nI/pP7Mrp/N/JfpwW3Ji8nu/0v8WE0Hivd9UrjBTSkeNHORxqcHtpT/ledCgp\n4arz1nPVX/yZNvle63sc9tsv89uVR9McqaZ0kocLnHZBwHUAERGRAd3Rbu576z7On3W+6yhjj4fr\ncwBKSkrYuHEjhxcfQZppZcL6A11HGjRrfBqp5a9RjD8nmiMZ1zqOjaGNrmNsY3B7aU9t2OB/0aGm\nxnWKQdZaLnnwEr5+xNdob3iFzPZsps0scR1rj/hbw0VE5H3noVUPcWjxoZSMG9v/c3XC0xGdYDBI\nfn4+JmkiISJUmDLXkQZVpKcTDS0lsipWdG5ZdAuvbnjVcaotzqo8i9MrTyd5QzLvlr3rOs42NHVt\nD5WU8ORzv+f8rmtdJwGgz/YxPW86V6SezBdLb+fs1yNkTPf5AO6cv69OERF53xmYtia7wdMRHYDS\n0lLe6NxEXl8qeSUtQJ7rSACUp6YS6VrBOy9/mjvfuJufvfwzvvuh73qxlXh9Zz1ff+LrnFZxGt1r\nu2k7pI2GTr8uXDsWpq7NmeM6xQ6UlBB9dC23X3c780r8uMxkTmoOay+/mYVlGVy60JJU4t+bJ7vC\n31eniIi8r9RtquPFdS/y5//8s+soY5OnIzoApRMn8mZvA4d2hejMfRk4xXWkGNuP2bSajPIQX370\nqzz72X8yu3C261RAbBrRba/dxmu1r9FQ38AhhYewcN1CTq883XU0IJZPIzp7qKSE7KZNFOZXEs7w\nZ/vwpAUPs+HcdrJ7AiTl+fnmyWh58ep8dPWjriOIiIhjT7zzBKdXnE5GKMN1lLHJ4xGdwNy5FPZu\npK05n9rkhfhSdFY1rSI1NZe2Y2/lhPpfeVNyILaV7tkHnc09y++hvr6ey6Zdxrl/O5fUZD+uW1OZ\nP4PQAdcTCvi73HssFJ38ls0UZhS6TrJFUxO5tW/QmdrLuL5CyMx0nWiPeFF0bll0i+sIIiLiWMAE\nuP74613HGLs8HtGpqajgyKb7aKqdxup8T64WCiyqWQTBHKYUH8ea350DP3CdaLhzZp7DSXefRCgl\nxLeP/Tb/dfh/uY4EQF9/H2U/n8j46X2uo+yQ70Wns2A8E9otmSF/ykTHfY/z59x5BCIrybSdKjp7\nw6Pna0RHRERkj3g6ohPp7+ffeXmcsnQ17645gVd6b2LKL6a4jgVAQ1cDGbkfYE7FsTxWHdsAq8Sj\nfTBmhmeSGkhl3IHjCJgAuWm5riMNKsueTG+PPzuGba27GzZvhpwc10m2ry55M0XWYDZtgqws13EA\naLnrYRZ94ACSmg2pvKSiIyIiIh5obYUyf3Y0G/B4czNTkpIIdLcQ6S0iYAIcP/l417GA2PSw42b/\nF89qzqkAACAASURBVL9o2swJJ8Ajj8Cll7pONdz8/Pk8PONh1zG2UZY7nXXd61zH2K7aWigqAp8v\nx1XXWU9STgrlNTVQWek6DvT2krd4AfXf/AyB12cS+v/t3Xl83FW9//HXmWyTPW32ZmnTfaWlUFoQ\nStmhAgICIopwVRQEF1wuigtexQX0ckUUqqgooiII/lhlh5ZSWpYudN+TNm2zN+skk8nM9/fHNG1D\nUmhpk3MyfT8fjz4enWqT9wNI8n3POedzvFcgdXBvJVbRERERiQV7VnQinsey1lbCnmc7EQD37drF\n5Tk5JCYGCSb7KMsq474L77Mda6/azk6+tP1Nbjzf4+F/GueKzrSEafy16K+EI2HifO7cWZOfOZqK\nlgrbMQ7I+Tt0gKrWKlKz0+AnP3HjTYq6Osq94bQVbSbpifPw4hLB4XuSDoaKjoiISCzYc0ZnfmMj\nF69axdiUFNuJAMiIi+PzY8bw7/QQncmdlGaW2o7UQ05CAh5wwpkhrr8ukY4O8Ltx3h+AhKYE0rw0\nXtv2GnNGzLEdZ6/sjJGEqp60HeOAdu2CYcNsp3h/1W3VbL7iBMZ0TrAdBYBGfxrfTPscG9s+ib/y\ny3hJbnwPORwqOiIiIrFgz4rO2kCAT+Tl8btx42wn6iE7O0SgvJERmcNtR+nBGMO45GRqkto58cRE\nhg0DVyYmf+5zkJpawxTfFB5a9ZBTRScjYyRtrVttxzgg1wcRQHSk/j92Ted//nqLM//NffKqDl5s\n2cHEliGQPrjP54CKjoiISGzYs6KzIRBwZjWnm+dFyMpqo9m3i+FZI2zH6WVsSgobAgGefDKTxkbb\naaI2bIBrroGPfrSWk4efzLy187j7vLtJiEuwHQ2A5LQRNLdUOLelrtugKDpt1dRsmcjy5TBqlO00\nUct2reXBP+RTZJoG/SACUNERERGJDXtWdNY3NHCGY6OmQqEGOjpSaDZbGZ55qu04vYxLSWF9IEBC\ngUd2ru00UTOzo921vLyLT8ycwKjAKP65+p+cWHyi7WgA1AVbSfVnU9FUwcghbkzR29+uXTB7tu0U\n76+ysZq2mtMoK7OdZJ9VNaswHSMo9hogPcN2nMOmoiMiIhILuld0KisZ59iKTmdnFbt3F9BktjE8\ny62tawBjk5P5R00Np69YwfzGRlwY1OUBJcdOZ9OmIvLy8rip4CZuefkW27EAiHgRaoPtlAwdz7q6\ndc4WHddXdCrqqhmRk49Ld66urFlJqHk0RV4jJlMrOkfEdevX244gIiKWGWP4RnExox17SO/LAyse\ncOqy62OyJ/KHjg6CKSnsCAYpc+k0PdDZuYv6+mE08TbDHTujA9EVnbdbWhgSH0/Xqafic2AmcUtX\nFwUTt9H0zhjy8vI4c/KZfGLyJ2zHAsDzPJJ+mkFhRglra9cyd8xc25F6GQxFp6q1mhNL823H6GFV\nzSpCdWczLNyMGeLG3T6Hw4miMy0G9gCKiMjheaimhhd373a+6FQ2V/L1577OXy/+K9kp2bbjEI6E\nuWze6XgZGWzu6GC430+CS28RA01NVdTtzqXd10ZRhkM3cu4x0u+nMhjkrtGjnSg5AOnx8Vx0Rjz/\n+O2x5Oa6dZeJMYa0jNFkJKaxrm6d7Th9GgxT1xpD1Rw7xq2is7JmJeGd3yEv/ApmiLauHRHXuXQN\nsYiIWFETCrE9GLQd4wPd9NxNXH/89Zw35jzbUfaallxGMK3RyUEEALW1VdR1ppIQSSDe58SjRw9P\n1teTYAzHOHY54g/mZPP3cJCmjhRcW5xITBtJPB5r69bajtJLZ2f0yFpOTvR1e6idYNiN7y0GQ6Y/\nk/ZQO11eJ8dPzrQdaa/GjkZ2t+/GbJtEbsLjGE1dExEROTJKkpJ41ZWRVwfw7KZnWbprKQ9c9IDt\nKD3MSBlDS/JS1re3MzY52XacXpqbd9HiS8BrcOMS0/11RSLcWl7O5NRUNra3M8qhopjd2Y6Jf4tf\nPjuTP1zv1nZEkzqCUKjKyRWdqirIywOfD7oiXRTdWUTEi9iOBUAwHOSXZ/2Sj479KCaQR3bZDhZu\nK7cdC4A1tWsYMWQka+vSyE5ugfShtiMdNieKzpVX2k4gIiK2VRcl0XyhG++69qU91M4Nz9zAb877\nDckJbpWJqcllNCS+yYZAgJkZ7m03CQSq6EhKI9wQpqOjA79DZ4j+Ul1NcVISE1JSWN/ezrm2A+2n\npqaGzKzlPPridO67zsM4sq0OoCtlBLuqFhP2wtS21ZKb6si4Onqez1lTu4bc1FzW3+jGefA3tr/B\n1f/vakanTSfS6efCp6czNnus7Vh7jc/9CGs64sjI6dB46SPl/PNtJxAREduW1iVxV2WQmprou7Gu\n+dnCn3FswbFObVnrNjG+kB1xAdYHAlyV79aef4CurioCSaWkR9KprKxk9OjRtiMBEIxE+FF5OQ9N\nnMhbLS2sDwRsR+qhtraWEcWbWbssgxd27+bsoe68wx5IHs7G+rVMyJnAurp1zhadt3a8xYxhM+wG\n2s+s4lkkJyTz01d+CVkV/OvyF5g93J052Fc9/BjJKW0kJneq6BwpWtEREZELu5K4a36QT1zh8cLz\nhndrl7K8arntWAB0dHVwz1v3sPw6N/K81wjfEN40bWxoDzg3WhrA56sikJBFbkIuv1m6lMLERNuR\nAFjT1saU1FROzMykqauLJ+rqbEfqoaamhpEjm1n/YhJ3rNjC2ae5UXS6IhE64jJI9cVTmlnK2rq1\nnDL8FNux9upRdHa6VXQAyrLKeGr9U5R2nO9UyQFYtznMkKQW4hNVdERERI6YtPh40pJ8RNJCfOd7\n8NecuZw96mxnDq/fd8F9FGcU247Rp8SWAIGCItq6uihwpETsLylpFzUMZSeZvLpxI+ccd5ztSAAU\nJibywxEjgOiI6Q3t7XYDvUdNTQ35+TnM/ojhjdfj2DDTjWETzeEw6XFxTMqbRHpiunPndPYvOm/u\neJPNDZt5bN1jdkPt0dbZRrAriOcZSjPd+36yY4efgrgW4nzauiYiInJElSQlcetvgnziqmcpuGAC\nD1zs1qF/ZzU10TR6Gjmmw6lzHAChcDvx8QE2dGxjdsFszvA8vjdqlO1YvZT6/dSGQrSFw6TGxdmO\nA0SLTl5eHiNGGJrWDGPim28S58C/X4/oJauTcyfTHmp3sujMmBFdiV1Vs4pZxbP48Wk/th1rr+OG\nHUf+92YSHLLZdpReGusyOZ524miHdN2jIyIicsQUJyXRlhJkxKXzWPfw1VyxqQIHnusAKEjLZ8oE\nPxMnwoQJkOnOVFhobKRpxCQSglVs7+jg2vXrCdvOtEdHoJwvNeQRH6nh/FHHMu+pebz0l5dsx9rr\njjPvYEbRDOKMYZTfz9+qqxnuyLCEZcYwprSU0RNbqX82ntUnnIAjXw4MjY/n0XeX8cKWF5wbMd29\novPmjjcBuOOsO5hVPMtyqp46GwrZlL2EcCRMnM+NYg3Q0ZDNcFqJi7RrRUdERORIKklKYmnDdrYF\nV1F08W95ru17+Iz9h4BgpI1J5lLqX53HPffAmjXQ1YUzJey3aYk03D2KQPMGlre20hQO86M9W7Js\nC+6qZd3uHDKTgjT6ApQv/jkpjWfYjgXAjpYd/CO0lhmfj57huKaggEdray2n2mfZ6NGsy8/nBd9a\nNn0+wpnLIrhwF2wEiAP+VjSZPy37E1UtVTz+TIBEY39bHcCGDdGic/uSuylIK3Cu5NTUgGc6yU3N\n4bnNzzF3zFzbkQAIhAJ4u4cwnCZ8XW0qOiIiIkdScVIST29+jbmj5/LS1peo/942fMb+k93zm5/n\njtfv4IHvR1/fdBM89RS4MODM8+CmRd9jtllCXd2/2N4RYFJKCmc5MqFr8YZWqtrTGJ41nMdfSsHX\nWcSv78iyHQuAb921ntefKYbPR19/s7SUb5aW2g21n9lf/jI//vGPOfWEGZz7A7j2WrjoItupIOx5\npL++gIVPT+GdnWvwGkfxk3kbyA5Nsx0NiK64loxs5+nnnubrs75uO04vq1dD4pBqPn3MVfzund85\nU3S27C6HulIKIxF8nSo6IiIiR1RBQhzLd+9galIiV0650omSAzAiawTljeV7X8+fD3/5C5x0kr1M\n+7soYT4Ln5hMyVnw7u4dFKYV2I60V0NDFfXhJIalZfPUy+fhj7uFcePm2Y4FwPGz1/LPX51lO8YB\ndZ/RAfjoR+Hyyy0H2svgPZjEa+/6ySzO5PgZpfzXF9dxxWQ3ig7AnW/cS5wvjksnXWo7Si+rV0M4\nuZqrp17N/y3+P+a9PY+kuCTbsVhcuwWqf0BOcgTjBXRG50ip/0+97QgiImKZ8Rm2ZbyJP7WEZ9b9\ngbmn3sfJS5fajgVAJBykormSiBehucnHxo1w/PG2U+3z1ZTf8fjTjzF77mjWNtdwzFB3ViVaWnbR\n6BkqtyWQlpJEaf4Wpk1z44G4qbWNzuAOamsh151rYPbav+h8+cvRX644c7mfG89up+s/k8nyZ7C2\n1p1zOq2drdz++u10RbqYlDvJdpxelq/qIFwYoDijmLvPu5sXtrxgOxIAlR0lGM/D3xqBxFat6Bwp\nO369w3YEERGxrGNbB76ycnxfgOzkbB4NpPHn8aVkxdv/UbWgqYmlCensatnFsoVFzJwJLk1xzs6r\nImFkPe0LPsW2ws1OjZgOBqto9oVY+9pIrr2hhru+9a7tSHv9+51/c+mJC/n1r4v48Y+n2o7TQygU\noqWlhSFDhtiO0qey5GS2dnQwOW8ylc2VrKheQVVrle1YAMx7ex6TcicRDAdJiEuwHaeXFZtqGDI8\nj7ZwmH8whaW5I2xHAqB1k5+M1CZMm4dpawMHRpkfLvs/PYBj/nOM7QgiImLZ6hWrOf6kcXScO49z\nJl3G3+PiOD8nx3YsAOKM4af+Qsoby3n11SLmzLGdqKfK/DQyz6rmjZ8dR+jcrc5cyAkQDlexvbWd\njp2juO1GN1Zyuo0uHk3mCY9z5521fOUrw8h1aFmnrq6O7OxsfC5MH+hDmd/P1o4OJuVOYmPDRt7Z\n+Q7T5rnx7zclIYVLxl9Cl9dFMAif/nR0Epsrli3PICN4N5MraygtzuH7peOcGAu/dlWElbuXkDQs\nAg3J4MiY9cPhRNH5zL8/YzuCiIhYtrZuLV8864tEahaQcdatzOpy593E4qQkIkn5lDeWM3/+R7jz\nTtuJ9uN5bM0bgteRyNzz4B9PTibnXHcejuPjq6hobmTKzDrSk5Ntx+khJyUHc/x8/Gv/xmc/+1me\neOIJJx44oee2NReV+f08VlfHZXmT+fWbv6by65W2I/Vw6cOXcvH4i7n7bmhpgZ//3HaiqNpa+NQt\nG+mYOozSziRK1wzlpaVu/DdHWxuXpy0kaeh06Bz829bAkaJz5sgzbUcQERHLzh51Nl2juhj3t9Fs\nqPEza0SG7Uh7FSQmEkzMZU3VVtatgxNOsJ1oP4EAG0pLCW40XH/dyzx+/kxePfl03koJ2E4GQGen\nj86kXXz/Kjfe7d9fTkoOTUMWkOHlsm1bJ/feey9f+tKXbMcCehedqip47jmLgd6jKSuVrUXbmThm\nIuvr1jt3H8xbO9/im1Nv52u3w8KFMG6c7URRj7/QBT+ooyR7O0vPOgGfI8UagIXLqP/CRmoypkDb\n4B9EAI4Unc9M1YqOiIjAxf+8mIlx51FwXyMn3u3OgfoEn4+01CIWbdjK8cdDe/OLbN56t+1YUR0d\nTDu9nH8m/RHPN5Pscb/gJz9/hFu/69lOBsAfH+6EmVO5+JhzbEfpJSEugXR/CrM+EuLM0/7Mrbce\nw+LFi51Y1amoqKCwsHDv6y98AdrbYdgwi6H28+LLqTRdk07q8akUpheyefdmxmaPtR0LgJq2Gpo6\nmnjgrpF88pMep9W/wa5XO23HikqA/M5GLvJtiZacH/4QHnvMdqqo5mZCBZ8hMb0TWrSiIyIicsQ0\ntDfw8taXueKym/nIpR1MviMRMm2n2qcgo5T1K5fxhVOh5rlb8G1YwZBNbgR88lPX0vrQlzn/42k0\njK3CPJfBAw+4cY/OtvjHyE7JdOrd/v3lpORw7ImNrFtXyLPPPsuqVatsR9prxozoRabLl8Pbb8OW\nLeD3Ww61x6pVMOWUMp45LTrZbFXNKmeKzls73mK8dwn/+pfh2aXtzHsbhn7+VNuxAGhrg8m3fZWC\nsWXRP3jlFfja15wZ4xh60k/SindiYuIaOFJ0VlavtB1BREQse2L9E5wz6hwiJVksOaOGSb/aScbP\nR9mOtVdJ5nAWBCs49Qxo37qVvFk3k3nrrbZj0el5PPP661yfk8fy7Y2keUnUTP0Fi+f8yna0vWYW\nzLQd4YByU3IZO3YHD9+fx+9/fxzHHXec7Ui93HYbfPOb7pQcgMmTDaU/3sJVV4zl0jvmsKpmFZdM\nuMR2LCC6ba32/93MLbfAhkgb4U1prFtrcGChDoAbXqkmP21W9EV9PcyYAVOm2A21R+ihLaQmB1V0\njqQrH7vSdgQREbHMZ3zcM/ce7m4Js+qaBM77r10kDUsCR87VT8ku5qWkSk44IcyC1k4+ljKaqoUL\nbccCYHp6OpPH+7h/Zyf+3Rn86aof8YlP/sB2LAB+987v2FC/wXaMA8pNzSW9pILGxmOprITiYtuJ\nelq9Gl57LXpBrWumzO5kxC1t/OsH1zL5li+wbtI625EA+PdTAdqri/jSl+BbK9rIbEh16p6k6rZq\n8lPzoy/q6sCR6ZIAoboQCX4VnSNq5fVa0RERkajvLF1KU0Eco+8qo3lxs+04AHRs7iBtdyq+0zNo\nrHybhNQAf5p8FqfnFH7wXx4gbwShYn0QryaTsuEJJCe4cX/IjuYdDM8cbjvGAeUk51DfXsucOdFd\nRFddZTtRTz/9Kdx0E6Sm2k7SW1lyMiM/3sgl29K47+ZfM+3HblwA39X4Xf74py4SE2FFcyuF7dm2\nI/VQ3VZNflo+eB40NEC2O/lCtSHii4KQrmEEIiIiR9z69nb8Ph8Fny6g4NMFtuMA0LS4iU0fayXJ\nFLN86WO0FmTzsSFujf6dMAGqH+kkvTrBqVWJiqYKjhvm3nawbrmpudQF6jjtNPeKzsaN8PzzcO+9\ntpP0rczvp7yjg9/+bwk3fh5CITeWTZKTYeye40Ibw20cZ9wZbAJQ3VpNQVoBNDdH9yM6dO9VqC5E\nfGmHVnRERESOtMqODiKeR3VnJ57nOTH9CiB5VDKr6iEhvYBXGpYxKTsPv2OX6WVlgS+nk+aqOHLy\ng7SHIrYjAVDeWE5pplsPmvvLTcllR8sOLjoN7rjDdpqefvYzuPFGyHBn0noPZX4/rzY2YgxMnGg7\nTW/BSISauA4mpbmzHNYZ7qSls4WhyUOhqtyp1RzYU3RMQEVHRETkSFvc3MyJmZm83tREXShEriPv\ndIZSEtgUjiM1cwhru1ZwgnFoyWQ/iekRQqMWkX3nqSTEubF1zR/vZ8zQMbZjHFBuai7Lq5czfjwE\ng9GzMFlZtlNFp3M9/jhs2mQ7yYGV+f1s7eiwHeOA1gUCpLX4KSt25KAf0dHXuSm5+IzPufM5AJ21\nncTRDmmOtutDpKIjIiLOWNzczKyMDLZ1dPDiWyHid7pRdDZuNIxJaae+I4ddiU2UDj3PdqQ+RcIQ\nN/plbpx1E784+xe24wwKOSk51AXqMAZuvtmdK00A7rwThgyxneLAypKT2dre7tTq6/5WtraStCuV\nYoeOiFW37jmfA84VHS/sEW4K4wsHIL3IdpwjQkVHREScsbi5mR+VlfHkS11cf3MyZ82xnWifz0zZ\nzZNVQ6ga1sTIklm24/TieR7BFh9xha9xcukNtuMMGrkpudS21QLR60y+9jXLgQaRzPh4En0+p1Zf\n97eqrY3IplRKTradZJ8eE9fq653auhbaHSIuMw7T1qatayIiIkdSZyTC8tZWUsrTWf6tdK69p4Ff\nf8Kddzs3f7uTzduz2TS0jZQUNy5G3F9LOIxX56MzdzEfKf277TiDRm5qLrWBWtsxBq3u7WsuFp2V\nbW20rix0ajiHyys6odoQCTkJ0NISM0XHnU2LIiJyVHu3tZXipkwuuzCeC27dTcrxTbYj9ZA8KpmS\nnXnUd4bx+8tsx+llV2cnyW0V0FxMdrI7D0+uy0nJ2buiI4fO5XM677a0wZY0J85cdXN6RacuRGJu\nIrS2xkzR0YqOiIg44aWKVqq/Np4ffB2yLw/zfEPQdqQekkb6yenqwu8z1He0ku/QJCeAXcEgnreM\nuMpTqK2FPLemXzsrNSEVD49AKEBKQortOINO9zkd1zSGQtR3hShJ8PPS1hedKbMLty3ktBGnRV/U\n1VEfdxItPyq3mqlbYH0guqJTp6JzRPn8YdsRRETEMi9cwHnXBrjppiRe3p3E9qBbRWdroUeh2UWu\n3095Y/m+7SeOqOrsJJSwhLyOS1m7VkXnYBlj9p7TGZ7l0Kn1QaLM72dFa6vtGL2samujNJxKYXGQ\nC/5xAReNv8h2JADSk9I5vex0ABrXJrJuRTHDvuyBA7MckkclkzUnC77RqgtDj6Ql29x7J0BERAaW\nz2eYOjT6jnpJUhKVjhWdl70ajs/aQUbKECqaKphZPNN2pB52BoOEshYztflXrFkDp55qO9HgkZOS\nQ21ARefDGOH38//q6mzH6GVlWxu5ralklK1n1JBR/OPj/7AdqYeO7R2sWXwWE34MQ//bsa2w2rp2\nZM3Ii41/mCIicmQUJyWxIxgk4nn4HBlb+0L1Lo4bUU6ayaO8sdx2nF7W1G3ECyVw8uThrF1rO83g\nkpuaS13AvYf1wcDVMzor29pIrU7DFLzDpLxJtuP0EO4Is/qS1RQPeYmh537WdpzeYmgYgRNFR0RE\nZH/JcXGkxcVRFwqR58A0p/ZwmMWeR0LpDvwdRU4WnRVblhC382Smn2W45hrYvNl2oii/Hx54AFLd\nOtLUw/4jpuXQjPD72dbRQdjziHPkTQmIFp30ilyCWas4Lney7Th7eZ7Hxus34h/pp6TyYcj+lu1I\nvWlFR0REpH+V+P38ZscOipKSbEehvKODKbW1+EpqSFp1AuW5jrSI/ZRXvkNm2xzOOAP+/GcIO3L8\n9atfhY0bYdo020kOrHvrmhy65Lg4hiYksDMYpMTvtx0HiJaJVW1tTF2dSvupqzj+sS+x4ZENtmMB\n0clmgTUBpi86FjO0zqmpawBEIhAIuP3OxCFQ0RERESd9taiIN5qbqe7stB0FgFseeZjw9dXkVoxj\nUcHLtuP00tjyDpN93yMhAc4913aafe65Byor3S46WtE5PN3b11wpOjuCQRKNoXZDIr6JO0n5awop\nP3Jnot7o/x1NnNcOiYnRJU+XBAKQkgK+2LiBRkVHREScdE1hIdcUFtqOEdXURHDJs7x5QyoTtozi\nH+PK8TwP48hWnarWKrrCu5mU7c4WnW4lJbB9u+0U7y83NdfJ7YiDRXfRmW07yB4r29qYkprKkqpW\n5qwfRvYZ2RTf6NCtoQBbdzp1WeheMbRtDVR0RETEVS0tUF1tO0XU22/TfspI/EmpjNyWSnx8EnWB\nOnJTc20nA+Dl8gUQOJ7RJe79WC8udr/oaOva4Snz+526S2dlWxvjEtN4fcgaZu+czZDPDLEdqbe6\nOjeLTgwNIgAVHRERcVFXF8yYAZ2dzmyhaL9lOqmZiWRWRRiaWkx5Y7kzRefF8gUkNJxEyTg3Vpj2\nV1ICL75oO8X7y03JVdE5DGXJySxobLQdY6+VbW2MDWSRNWYBE96ewJDTHSw69fXunc8BreiIiIj0\nu3/+E3JzYcECcGR7WMfW75Ni4unMjSPdFFDRVMGMohm2YwGwaPtCEirvoNix3TkQLTqVlbZTvD+N\nlz48ZX4/t+7ezefXrbMdBYAXGhqY0VZEccZWEk0xyWOSbUfqzdUVndbYuSwUVHRERMQ14TD85Cdw\n113OlByA9vZNZGefT2REImnBfB5890EqGitsxyLiRaho2Ejc5plOFp3BsHVNwwgOz0cyM7mtrIwu\nz7MdBYDZWVkEn05nfFMnvpN8zpyl60ErOgNCRUdERNzy6KOQkQFnnmk7SQ/t7Zvw+0eRMMrPxIaz\nyJq0gp0tO23HAuCimd/n0Z+lUVRkO0lvxcXRFR3Pc6q39jAkeQjNwWZC4RAJcQm24ww6ST4f1wCE\nQpaT7JGYyA+3G8ZWZlH4JUcGmryXqys6OqMjIiLSTyIRuO02+NnPnHoq9jyPQGAjycmjSRu9m+IN\no/if2z5jO9Ze//1uOXiGzEzbSXpLSYk+N9XWQl6e7TR98xkfQ5OH0tDeQH5avu04g8+CBTB3rjsr\nFLt20XLxIk4pn8DIuSNtp+lbXR1MmWI7RW9a0TnymppsJxAREduMgYyXn4CEhOhDk0O6uhoASEjI\nJndsJ6kvdllO1NPmbRGGFoYxxo3BDe/VvarjatGB6Dmd2kCtis6H8eij8J3vwHe/aztJ1Ny5pK17\nnU5/MckjHDyfA9q6NkCcKDqlpbYTiIiIbe0Bj5qSH5F15w+cWs0BaG/fTHLyaIwx5I9NI2eHRzAS\nIcmRiXDbK6GgyI3zEX3pvktn+nTbSQ4sJyVH53Q+DM+Dxx+HJ5+0nWSfsWMpXtpEzWR3LgntxdWt\naxpGcOQ1rdxmO4KIiFj2yFcXElzUBRdeCEBV1YO0tLxpOVVUtOiMAiBldArDdsGOjg5GprjxIFW9\n0zDFwUEE3QbFpaGOj5j2wh6d1Z22Y+wVlxZHfEY8rFwZHQE/2aHLaseMobA5zK5TEm0nOTCt6AwI\nJ4oOJ59sO4GIiFh2XruP3066l5v3rJJs3XoLhYXXEh9v/+BJcvJoMjOj977HZ8TT5TdUbmtj5Hg3\nik7DzjhGlrixutSXwVJ0XB4xve32bWz7+Tbi0uJsRwEg0hFh0r8mMWTRE9E3JxxahW0tGEtqRydl\n5/ttRzkwV1d0WlqgoMB2iiPGjaKzTSs6IiJHu9VL4JEb4GYgGNxBOBxg+PDvOTkatrU0jo4NSeLK\nQAAAHrVJREFUrTDe/oWhYc+jrTqecdPdLTrFxbBqle0U78/1rWuNCxqZ8OAEci504+G4cX4jqy9b\nzfjM9WT//rO24/SwdWcpSWYRoya5ddZvL8/Tis4AcaPoiIjIUW/MGNiwIfoM0NT0BpmZJzpZcgC6\nhieydlUDrTPsv2PcEg6TUJfC8FJ3i86gWNFJzWVD/QbbMfrkRTyaFzcz4cEJtqPslXVqFlP+WMDK\nj32cMVXjcWnOxNa3Q4zxlpHHZbaj9K2tDeLiINnBQQkqOv3gL3+xnUBERCwbCiQlfJrq6jhaWxeR\nkXGi7UgHVHpMJvm3VdF150bbUcgHbu/IoLh4qO0oBzQoik5KLou2L7Ido09tq9tIzE8kMcetMycZ\nO15g6rmrefcbeQQ2B/EPt1/8ASKv1BJMW43ZvBmmTrUdpzdXt62BhhH0i5dftp1ARERsC4UY1zyO\n9Z9+nvRbX6Js8l22Ex3QKT8cS+jGMtsxgOgdP+3D3iE3GADcODP0XkVFsHNn9JokRwbV9ZKTkuPs\nMILmRc1knmT/rFovTzxB2jXXMPWYqWy/fTvt69ttJwKgIruBTH9VdInYxaLj6rY10IWh/UIrOiIi\nAoz1dbKxs4axbT8k45qfwoRnbUfa59xzYc4cAEycITHfjXfX29pgicnm+IX1MNPNouP3Q2Ym1NS4\ne845NzXX2TM6TYuayDzZsaLT0gILF8JDD5Gakcr4+8fbTrTXRd/6X36xtDhadFzk+oqOio6IiMiR\nN3ZyIjWRHKZlTyPu45+OLgO4YN06+PWv9xade++FW26xG6lbJAJzi7JpeLqS0m+U2I5zQN3b15wt\nOim5/Oj3G+EmN7ZfATBtGvzpTzQvaqH0vx27dPD55+HEEyEjg/ZQO39c9ke6Im5cpFsZN5/EsZfC\nRvtbS/vk8oqOio6IiEj/GDsWVq58g4zMk+Azn7EdZ59Vq+CyfQeb//MfuOsuuOACi5n2k+gNYemI\ntYQaQyRkJdiO06fuojNjhu0kfcvxD2XOug68jdswufan6eF58OCDdJ5yIaH2eaSMTbKdqKcnnth7\n59Wzqxfz7Sd/QUnrxZZDRYU3Xczwi8+AP/zAdpS+ub6iozM6IiIiR97YsVBRsYjMzEtsR+lp9GjY\nuhVCIbz4BJYsgd/+FoYMsR2sWxyZszNpeLaB/CvybYfpU3ExVFbaTnF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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# x-values\n", "x = np.linspace(-10, 10, 200)\n", "\n", "# Make features, as before\n", "phi_x = np.array([x < i for i in range(10)])\n", "\n", "# Params of distribution over weights\n", "mu_w = np.zeros(10)\n", "cov_w = np.eye(10)\n", "\n", "# Params of distribution over linear map (lm)\n", "mu_lm = mu_w.T @ phi_x\n", "cov_lm = phi_x.T @ cov_w @ phi_x\n", "\n", "plt.figure(figsize=(14, 9))\n", "plt.ylim(-10, 10)\n", "plt.xlim(-10, 10)\n", "plt.title('Random Draws from a Distribution over Linear Maps')\n", "\n", "for _ in range(17):\n", " # Plot draws. `lm` is a vector of 200 `y` values, each corresponding to the original `x`-values\n", " lm = np.random.multivariate_normal(mu_lm, cov_lm) # lm.shape: (200,)\n", " plt.plot(x, lm)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Gaussians are closed under conditioning and marginalization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's revisit the 2D Gaussians plotted above. They took the form:\n", "\n", "$$\n", "(x, y) \\sim \\mathcal{N}(\\mu, \\Sigma)\n", "$$\n", "\n", "Said differently:\n", "\n", "$$\n", "P(x, y) = \\mathcal{N}(\\mu, \\Sigma)\n", "$$\n", "\n", "And now a bit more rigorously:\n", "\n", "$$\n", "P(x, y) = \\mathcal{N}\\bigg([\\mu_x, \\mu_y], \n", " \\begin{bmatrix}\n", " \\Sigma_x & \\Sigma_{xy}\\\\\n", " \\Sigma_{xy}^T & \\Sigma_y\\\\\n", " \\end{bmatrix}\\bigg)\n", "$$\n", "\n", "**NB: In this case, all 4 \"Sigmas\" in the 2x2 covariance matrix are scalars. If our covariance were bigger, say 31x31, but we still wrote it as we did above, then these 4 \"Sigmas\" would be *matrices* (with an aggregate size totalling 31x31).**\n", "\n", "What if we wanted to know the distribution over $y$ conditional on $x$ taking on a certain value, e.g. $P(y\\vert x > 1)$?\n", "\n", "$y$ is a single element, so the resulting conditional will be a univariate distribution. To gain intuition, let's do this in a very crude manner:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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Zd7ex7v6O7n5Yd39KkicneXl3PzXJryV50rLY05K85FIGBgAAuJBLOc/LM5P8X1X1piQP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\nAADACCc2PQAAAFe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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y_values = []\n", "mu, cov = np.array([0, 0]), np.diag([1, 1])\n", "while len(y_values) < 345:\n", " x, y = np.random.multivariate_normal(mu, cov)\n", " if x > 1:\n", " y_values.append(y)\n", "\n", "plt.figure(figsize=(14, 9))\n", "pd.Series(y_values).hist(grid=False, bins=15)\n", "_ = plt.title('Histogram of y-values, when x > 1')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Cool! Looks kind of Gaussian as well.\n", "\n", "Instead, what if we wanted to know the functional form of the real density, $P(y\\vert x)$, instead of this empirical distribution of its samples? One of the axioms of conditional probability tells us that:\n", "\n", "$$\n", "P(y\\vert x) = \\frac{P(x, y)}{P(x)} = \\frac{P(x, y)}{\\int P(x, y)dy}\n", "$$\n", "\n", "The right-most denominator can be written as:\n", "\n", "$$\n", "\\begin{align*}\n", "\\int P(x, y)dy \n", " &= \\int \\mathcal{N}\\bigg([\\mu_x, \\mu_y], \n", " \\begin{bmatrix}\n", " \\Sigma_x & \\Sigma_{xy}\\\\\n", " \\Sigma_{xy}^T & \\Sigma_y\\\\\n", " \\end{bmatrix}\\bigg)\n", " dy\\\\\n", " \\\\\n", " &= \\mathcal{N}(\\mu_x, \\Sigma_x)\n", "\\end{align*}\n", "$$\n", "\n", "**Marginalizing a > 1D Gaussian over one of its elements yields another Gaussian**: you just \"pluck out\" the elements you'd like to examine. **In other words, Gaussians are closed under marginalization.** It's almost too easy to warrant a formula.\n", "\n", "As an example, imagine we had the following Gaussian, and wanted to compute the marginal over the first 2 elements:\n", "\n", "```python\n", "\n", "# 3D Gaussian\n", "mu = np.array([3, 5, 9])\n", "cov = np.array([\n", " [11, 22, 33],\n", " [44, 55, 66],\n", " [77, 88, 99]\n", "])\n", "\n", "# Marginal over the first 2 elements\n", "mu_marginal = np.array([3, 5])\n", "cov_marginal = np.array([\n", " [11, 22],\n", " [44, 55]\n", "])\n", "\n", "# That's it.\n", "\n", "```\n", "\n", "Finally, we compute the conditional Gaussian of interest — a result well-documented by mathematicians long ago:\n", "\n", "$$\n", "\\begin{align*}\n", "P(y\\vert x)\n", " &= \\frac{\n", " \\mathcal{N}\\bigg(\n", " [\\mu_x, \\mu_y], \n", " \\begin{bmatrix}\n", " \\Sigma_x & \\Sigma_{xy}\\\\\n", " \\Sigma_{xy}^T & \\Sigma_y\\\\\n", " \\end{bmatrix}\n", " \\bigg)\n", " }\n", " {\\mathcal{N}(\\mu_x, \\Sigma_x)}\\\\\n", " \\\\\n", " &= \\mathcal{N}(\\mu_y + \\Sigma_{xy}\\Sigma_x^{-1}(x - \\mu_x), \\Sigma_y - \\Sigma_{xy}\\Sigma_x^{-1}\\Sigma_{xy}^T)\n", "\\end{align*}\n", "$$\n", " \n", "$x$ can be a matrix. From there, just plug stuff in.\n", "\n", "Conditioning a > 1D Gaussian on one (or more) of its elements yields another Gaussian. **In other words, Gaussians are closed under conditioning.**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Inferring the weights" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We previously posited a distribution over some vector of weights, $w \\sim \\text{Normal}(\\mu_w, \\Sigma_w)$. In addition, we posited a distribution over the linear map of these weights onto some matrix $A = \\phi(X)^T$:\n", "\n", "$$\n", "w\\phi(X)^T \\sim \\text{Normal}(\\phi(X)^T\\mu_w,\\ \\phi(X)^T\\Sigma_w \\phi(X))\n", "$$\n", "\n", "Given some ground-truth realizations from this distribution $y$, i.e. ground-truth \"function evaluations,\" we'd like to infer the weights $w$ most consistent with these values. \n", "\n", "*In machine learning, we equivalently say that given a model and some observed data `(X_train, y_train)`, we compute/train/infer/optimize the weights of said model (often via backpropagation).*\n", "\n", "Most precisely, our goal is to infer $P(w\\vert y)$ (where $y$ are our observed function evaluations). To do this, we simply posit a joint distribution over both quantities:\n", "\n", "$$\n", "P(w, y) =\n", " \\mathcal{N}\\bigg(\n", " [\\mu_w, \\phi(X)^T\\mu_w], \n", " \\begin{bmatrix}\n", " \\Sigma_w & \\Sigma_{wy}\\\\\n", " \\Sigma_{wy}^T & \\phi(X)^T\\Sigma_w \\phi(X)\\\\\n", " \\end{bmatrix}\n", " \\bigg)\n", "$$\n", "\n", "Then compute the conditional via the formula above:\n", "\n", "$$\n", "\\begin{align*}\n", "P(w\\vert y) \n", " &= \\mathcal{N}(\\mu_w + \\Sigma_{wy}\\Sigma_y^{-1}(y - \\mu_y), \\Sigma_w - \\Sigma_{wy}\\Sigma_y^{-1}\\Sigma_{wy}^T)\\\\\n", " \\\\\n", " &= \\mathcal{N}(\\mu_w + \\Sigma_{wy}(\\phi(X)^T\\Sigma_w \\phi(X))^{-1}(y - \\mu_w^T \\phi(X)), \\Sigma_w - \\Sigma_{wy}(\\phi(X)^T\\Sigma_w \\phi(X))^{-1}\\Sigma_{wy}^T)\n", "\\end{align*}\n", "$$\n", "\n", "This formula gives the posterior distribution over our weights given the model and observed data tuples `(x, y)`.\n", "\n", "Until now, we've assumed a 2D $w$, and therefore a $\\phi(X)$ in $\\mathbb{R}^2$ as well. Moving forward, let's work with weights and features in $\\mathbb{R}^{20}$ which will give us a more expressive language with which to capture the true relationship between some quantity $x$ and its corresponding $y$. $\\mathbb{R}^{20}$ is an arbitrary choice." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "# The true function that maps `x` to `y`. This is what we are trying to recover with our mathematical model.\n", "def true_function(x):\n", " return np.sin(x)**2 - np.abs(x - 3) + 7\n", "\n", "\n", "# x-values\n", "x_train = np.array([-5, -2.5, -1, 2, 4, 6])\n", "\n", "\n", "# y-train\n", "y_train = true_function(x_train)\n", "\n", "\n", "# Params of distribution over weights\n", "D = 20\n", "mu_w = np.zeros(D) # mu_w.shape: (D,)\n", "cov_w = 1.1 * np.diag(np.ones(D)) # cov_w.shape: (D, D)\n", "\n", "\n", "# A function to make some arbitrary features\n", "def phi_func(x):\n", " return np.array([np.abs(x - d) for d in range(int(-D / 2), int(D / 2))]) # phi_x.shape(D, len(x))\n", "\n", "\n", "# A function that computes the parameters of the linear map distribution\n", "def compute_linear_map_params(mu, cov, map_matrix):\n", " mu_lm = mu.T @ map_matrix\n", " cov_lm = map_matrix.T @ cov @ map_matrix\n", " return mu_lm, cov_lm\n", "\n", "\n", "def compute_weights_posterior(mu_w, cov_w, phi_func, x_train, y_train):\n", " \"\"\"\n", " NB: \"Computing a posterior,\" and given that that posterior is Gaussian, implies nothing more than\n", " computing the mean-vector and covariance matrix of this Gaussian.\n", " \"\"\"\n", " # Featurize x_train\n", " phi_x = phi_func(x_train)\n", " \n", " # Params of prior distribution over function evals\n", " mu_y, cov_y = compute_linear_map_params(mu_w, cov_w, phi_x)\n", "\n", " # Params of posterior distribution over weights\n", " mu_w_post = mu_w + cov_w @ phi_x @ np.linalg.inv(cov_y) @ (y_train - mu_y)\n", " cov_w_post = cov_w - cov_w @ phi_x @ np.linalg.inv(cov_y) @ phi_x.T @ cov_w\n", " \n", " return mu_w_post, cov_w_post\n", " \n", "\n", "# Compute weights posterior\n", "mu_w_post, cov_w_post = compute_weights_posterior(mu_w, cov_w, phi_func, x_train, y_train)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As with our prior over our weights, we can equivalently draw samples from the posterior, then plot. These samples will be 20D vectors; we reduce them to 2D for ease of visualization." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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STq7THRFRPc7sEBHFxO8d78gXEvQzs7N9VKW4TY3NfU93vwoklgVpF5agtM1Q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\nBdbsEHlgTm3Gtdt9KoDMdy6KYQHKzO9DwFetTC72AxmP5yG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7Bl9lNLnIwbiBJQs9A+iH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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Draw samples\n", "samples_prior = np.random.multivariate_normal(mu_w, cov_w, size=250)\n", "samples_post = np.random.multivariate_normal(mu_w_post, cov_w_post, size=250)\n", "\n", "# Reduce to 2D for ease of plotting\n", "first_dim_prior, second_dim_prior = zip(*TSNE(n_components=2).fit_transform(samples_prior))\n", "first_dim_post, second_dim_post = zip(*TSNE(n_components=2).fit_transform(samples_post))\n", "\n", "# Plot prior, posterior draws\n", "plt.figure(figsize=(14, 9))\n", "plt.title('Draws from Prior, Posterior over Weights')\n", "plt.legend(handles=[\n", " mpatches.Patch(color='orange', label='Prior'),\n", " mpatches.Patch(color='blue', label='Posterior'),\n", "])\n", "\n", "plt.scatter(first_dim_prior, second_dim_prior, color='orange')\n", "plt.scatter(first_dim_post, second_dim_post, color='blue')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Samples from the prior are plotted in orange; samples from the posterior are plotted in blue. As this is a stochastic dimensionality-reduction algorithm, the results will be slightly different each time.\n", "\n", "At best, we can see that the posterior has slightly larger values in its covariance matrix, and has probably maintained a similar mean. This type of change (read: a small one) is expected, as we've only conditioned on 6 ground-truth tuples." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Predicting on new data" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'd now like to sample new function evaluations given the updated distribution (i.e. posterior distribution) over weights. Previously, we generated these samples by centering a multivariate Gaussian on $\\phi(x)^T\\mu_{w}$, where $\\mu_w$ was the mean of the prior distribution over weights. How do we do this with our posterior over weights instead?\n", "\n", "**Well, Gaussians are closed under linear maps.** So, we just follow the formula we had used above.\n", "\n", "This time, instead of input vector $X$, we'll use a new input vector called $X_{*}$.\n", "\n", "$$\n", "\\phi(X_{*})^Tw \\sim \\text{Normal}(\\phi(X_{*})^T\\mu_{w, \\text{post}},\\ \\phi(X_{*})^T \\Sigma_{w, \\text{post}}\\phi(X_{*}))\n", "$$\n", "\n", "**This gives us a posterior distribution over function evaluations.**\n", "\n", "In machine learning parlance, this is akin to: given some test data `X_test`, and a model whose weights were trained/optimized with respect to/conditioned on some observed ground-truth tuples `(X_train, y_train)`, we'd like to generate predictions `y_test`, i.e. samples from the posterior over function evaluations.\n", "\n", "The function to compute this posterior, i.e. compute the mean-vector and covariance matrix of this Gaussian, will appear both short and familiar." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "x_test = np.linspace(-10, 10, 200)\n", "\n", "\n", "def compute_gp_posterior(mu_w, cov_w, phi_func, x_train, y_train, x_test):\n", " mu_w_post, cov_w_post = compute_weights_posterior(mu_w, cov_w, phi_func, x_train, y_train)\n", " phi_x_test = phi_func(x_test)\n", " mu_y_post, cov_y_post = compute_linear_map_params(mu_w_post, cov_w_post, phi_x_test)\n", " return mu_y_post, cov_y_post\n", "\n", "\n", "mu_y_post, cov_y_post = compute_gp_posterior(mu_w, cov_w, phi_func, x_train, y_train, x_test)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To plot, we typically just plot the error bars, i.e. the space within `(mu_y_post - var_y_post, mu_y_post + var_y_post)` for each `x`, as well as the ground-truth tuples as big red dots. **This gives nothing more than a picture of the mean-vector and covariance of our posterior.** Optionally, we can plot true function evaluations from this posterior as well, as we did with our prior." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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wUN+hXt6nMD1D6dV7WJZFBPS8pBwmgU0nwJHAYDVjpNp1W0w7uAHjWsn/uwOg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R2tUY4Kgx5tf4eg20dbJu3NLGRsUpYHcoFUvMpAfAan1qUHMc61OMQVxsjB8v3y1UYlaK0J\n4z5+1CWIevhRd78Q87BNj7w7i214yEsKAVfhygWN1noL2Nr/d0cI8QhYAN56QdNTMT0VM2M6V25s\nPg8hBDnDpBWHTJ0h4Y28X1+h2w5sp8nXN1itLOF/ZpK9pRn3NFGeRAQaIg3mmz1Hy4FcJUk9m35H\n1rO4YCL7ikqtyE5lG88uYJvJB1IQ9fHsIs3mY5SnkEIyKJTIbqydKGhMG9KFRA4+2N24iH6hRHpn\nCxkEqFODG00BvVjTizXpEa9tJpO4nq5Den6fCGshZskcKlIGKwPMnIldSV4nNa3wN3y6X3ex522s\nsvVG55lV3FdrfrZJbzsmdbPImR9xzWZiSfv00/EVCyFgcTGpQJeXk/6ZgyrUNJNi4fXrpPfm1ONf\n22nQTvVRazFGNs+jJ9CekjyY1gxev2R39ec0dMBS4PDlzD0WvSILDxbwp31W2o8IgoDvT32fxkYD\n13VZKC3QWV7HvmtjWcWTj/Ogp+eLL46+1u8nX89evOM4YcKECR8anpRsnQrnyXsWK7pL3I9Z8CxW\nugHOvkqgLIvI9XDaraHGdCEE6VKZdm2X8sKpuV4jiOQUTvSMSE7DaevvObhZRX3DgJmLb3tZTBtM\nJ+nT8XKjXTOGtPDsPJ59ZMsO4wGqMaDT7NJPbxDFA1z2sIwu0rmDbXhYxtGAbEca2PtBWflxd4DP\nIVbRseKlk6gv0sE2PVJWlpw7g2WkrvxzrsK1ehyEELeAHwD/5DqPO4pAK+pxwJTpYHwLq82xVZpQ\nYzYjjEaM0BAVDOq/vEB2+TndVkjpi0tWq0KgPInRiYmvEK+bKWt6bUG7JsiW302nezhr4b3KYtV3\n6LtNPLtwmHaWc2dwzDT9oEnaKRKmk112q9s5/DdAtqLYem6QrTCe2iST4sjbq9KZPZmoJYTAAOp+\nTNoc/p1+jH00WmvCaoj7ycndrbAWovoK77MjFUM6Eve2S9yL8dd8wu0Qe8HGKrzB3Bod49pVwl+8\nS/9FH7Nk4sw7J4uqXi+pIO/dOxo2eRny+aRoefnyyIJmWYk6U60mf04N8Hy6tYmpTTbqiily/ETA\nvRsxrYdfI+uPKAIP1BSLxXnm780RLUV80/8G0RDMZGaYsqfYWdmhUqkwNzdH52EbKjWc1CfDj29n\nJ0lpO16o1WrJ4/uYKuYJEyZM2CclJYFSxFofrtUyhoHvQdiKWPJMnjR9Cseu54NCEg4wKmkrU6yw\n+ewR8XSIcZ7SD2jhoGQWU1WJjPGrE8dLRmtEwZjrjEuSLmh6jbMLmlFYRoqZOZfGVpnZuRilFWHU\nRvhf0Q12aCtBrAIsw016VEyPjJGipjRpaZwZljWKRH0ZJNax/R6YWEU45rtTX8bh2gqafbvZ/wL8\nO1rrzkW3vwqx1lSjgKJhY1/il3QVzlVplMZoK4xGhOwp4pxBOGed6HtZNW8x215DG7fRZ+9Pj+Sg\njya+QoqeEFBeSCxbqUyM9fZsjOc+CH/RpvyszE5tA2+ugGvnafa3yLkzeHaRXrBH2kl2tgfFEqnG\n3omCxjCTxI/mrqS8MKZKUypTXH5GZ3p2SMJWwF4Qs5ge/cH4sfXRRM0I6ZwMA4gHScHifuKOtJYZ\nnoH3iUfUjPDXk8LGWXSSnphxWVmBqSmsuQzGlDrsrXFuOpgZE4IgafC/efNqL7ZtwyefJCrPgQUt\nm00CAp4+Tfpu9i+CURTzuLmN7duIKM8/aAqy9zrEX/0TCt3X6L7LkneT2/duEN2KeM5zHN/hbuku\nRauI3/XZer3F0tISpVKJYDsg0rs4pQKmmTn5uJRKCqrPPjv62sHsmU8/ffPnO2HChAnvMUIIXCnp\nxzGZ/c0cKQTpgk2rHjAzYw11MfvZPJnNdUQUDSVuGaZJOl+kU6+Sn77YShbKGZzoOZGcGrJmnUcq\nk6gob2MD2MvpZPh5xNghRwePSetkzEgqLXGsPNL4kqzaxDc+QR024ffoBXWCqEcnDumZLtN2fn/Q\nuYtxqq8mioPD+x30vhjSxjY9HDNN1pk6dNS8z1xLQSOEMEmKmb+ltf67Z93u//5v//PDf9/70a9y\n/0e/dumfdRAC4EkD71uuDj1h0NIhgVbYQiK7MUYjxmjHqJQkLhgESzactvJ0oSMyzC04yBGpZxeh\nMhJrN+T82a4XY9pJH8reumT6tno3m8KWwLhZwX6+TT+7h5MuEMYDYhXh2nnqvTViFWJIi36hRPnZ\nIzqz8YmmtWw5SfwIfcYqzGLbIfTSuI09+qWT0bgC2OlHUBx934+tj+Z0GIDWmsHLAfaCjeGefz6Z\neRMjZxDtRfRf9DEyBs6CgzwdaHGaRiOxVu2nlUlT4t5JemsGywPMvMRpLSNmZ09GGb8pQiTzbTKZ\nRK2pVGBuDioV4tev+e2f/Yyf/o2/QRhp/vD2LHfn/nns7AOCmzt8+ewnDGqb2MYSd27dRXyiWUuv\nUXJKfOp8iuEbdDY6tOM2+Xye+/fv47oug5UBUctHzDVwnBGRk9Vq8mY6rjw1m5BKJX8mTJgw4SPF\nMwy6SnF8mydXsGmvdSkuOaeXTGjDIMhkSbUaQ9dsgGxliu3lZ2QrM8gL+iy1SKFEGlPXiMT4fSOp\nbDLQ8m0UNNLYL5halw9rylaSuXyp9H6ogMyjVR1TbRMZc0P9OEHsszZo4KsQf7BNEPUxpIlteCgd\nE8Z9gMOUtXelvjz7/X/I89//KQC96M1e8+tSaP468FBr/V+fd6N/5d/+D678gxoqRAD5SyaaXQdS\nCHLKZLDVJ9cx0EBcMPDvOGh79EmlNTQ2DQozil5mfij1bBy0LUEKxEChU1dTpLLlZNehXRXkpt6N\n9UylDTIzC7RfreF+XiRlZRiEbdJOEc8u0AvqZFPTaNNMPtSa9RMfatJIeoKaO5LK0ngqTa9cIbux\nPvTh6JqCle7ZpeLH1EejAoXqKsw7R+dO1IxAcNg3cxFCCKyyhVk0CXYCeo97mEUTe95GjrDtEcew\nuprYv05deKyihZEx8H/ymK5Okbpdul4PbC6XzK55+RKePmXH8/hrf+7P8etPn/If+z7/5/e+Ry8z\nh/s7/5hn+r/nn/k3foGGcpmeu0/h+3m6s20qZoU5MUdcjxlYAwqFArdu3SK9ryKpQNF70gMzRtzc\nxLGmkPJUla11EtV8PNkMjuxmEyZMmPAR40lJ+/SATcekZmpmQoHSw+MCBoUSXnV7ZEFj2g6Ol6bX\n2CMz4vunCY0ZnOgVkaiMfSFPZTR768lA77extk/6gS9f0Hh5TXNbnrDDBcZCknom82hxMvzGNhxm\n3DJtFTFrptBaEymfIOohhMQ2PEzjHaRFneL+j37tUOSoDmJ+93/8K5c+xpX9WkKIXwX+AvAbQoif\nCSH+SAjxL1/1uKPoqIiBVpQN+62GAAyhNEYjwn7lU14OicKYzryJfz9FNGWdWcwAdOsCaWq8vD5K\nPTtj4OZ5xGmJ0X6zbO7TlOYV7ZokGFzL4d4Ia7aMtgzC1SopK0c/TCbfenbhcMgmwKBYxt2rDd0/\nXdIEvWR67jiE6SwIgd1pn/h6yhBs9c9+XU0z2VQ/a37jh0RYHQ4DCLYC7JnLf5gJKXBmHbzveSCg\n900Pf9NHq1MfzhsbiTJxRtO7XHuNe8vB+cWbDJYHDFYHw8e4CpYF9++jMhn+2p/9s/y7X33Fj30f\nAfz0xh2C9gJ/Zucn/Dh6zO/+9k/I/3AJ91dSFAtFFvoLzIpZpvPTPHjwgAcPHjBbmcXRDmEtxN/0\n6T3uQbaHnn2FaedxnMXhx9BoJFa441a6KEq8jMUzpMEJEyZM+EhIGwa9U8EAacMgTAtkNyJtSsJT\ne5NBJovp+8hg9HDMbHmKdm33wsGUAFp4KOFg6L2xH7OU4HhvPmTzIlIZTRwKQv9y95MymUvTrh1b\ndwqL0FjAjldHDiVNSxMBdFWUbEoaKdJOCc8uvBfFzHVx5YJGa/1TrbWhtf6B1vqHWutf0Fr/vet4\ncMfxVUwzDqkY9sgIureB7MZY6wGpJwOMZkxcNPE/dbEWXBrOxcVFHEFzR1KYPTpTg0yWIJ0ls715\nqccSZ5I+muvAtCE/o9hbN0a997813JsLtFtbZDoeg7CN1pqUlUXpmCDqAcnrJVSM2e+duK+UiX2u\nuT3+W7hXruDWTk4adqSgEcb48dkvRDYLnbfaFfb20VoT1k7azaJOhI405hXCJqQpSS2l8D7zUH1F\n9+suQTVILjK9XpLqtThikQ9JseP7cPs2VtHC+9xDR5ruwy5RJxp9nzdBCH77936PX3/6lIOSYsdz\neZL9nPyrr/j785usezGf1x/RernLr2R/he8Xvs+Xs1+yZC+RaWYIngZ0ftah97iHv+YTtSJ0rBCL\ne+j8JqnUbRxnbvRGy9bW8ODPWi2x111T/v+ECRMmvK8cBAOoYwsOIQSZgk2zHjDnmvTjU+sbIfBz\nBVLNOqNw0hmkYdJvt8Z6DJGcwVI7Ixf8Z+HmNIPO21lvCpEcv9e8/PGzJUW3IVDHlqGxLKKxMNX2\nyPsUDJtmHJ74HXxsfDsd9Vck0opaHFAybKy3HAIgAoW5E5J6OsDaDNGOYHAvRXDTIc4bIAVpaRJo\nRaDPLzBaOxIvr7FPWeQ7s/PYndaQWnAeKi0xegquafc6U9QYpqZVfXc+Ki9VIJw10Vst7NDGj5Kq\nIe0U6QWNw9v1iyXc+vDOSrqoiULBYEz1ZJAvYvV7GMHRlogQAgnUg7ML1Ewm2Uz/kIlbMcISJ/pk\nwu0wmTFzDRsE0kn6Yty7LtFeRO+bLuFXz5PI5FHxy9VqMlDy3r1DK5o0k1Q1Z9G5slqjtUKpCKUC\n4njAP/pbv8k/K3wCTzBIO/wXP/xVVGuTdvoP+TwS/Jt7Hn+pO4v9068p4WOGO/jBMr7xjCj3AjW/\nDPdfwp0XqIWnRJWHhPnHiJSP5z3ANM+wkLbbSSDA6d6gid1swoQJ3xEOggF6p21nBZtOJ2LRNeiP\n2FQc5AukGqMLGthXaao7Y6k0SmbQmBi6ceFtD3D3gwHeVg2QLii6jcuvaQ0rGTTerZ+8dofGIqaq\nIvSwdcUREkcatNQ1bha+Z7z3o6mV1lTjgIw0cd9Wk1KsMVoxZiNG+Io4b+Av2Wh39BtNCkFWmrTi\niMoZmX5BH3otwdz94YXycevZ3t1Px5vSaghiTyK7CpW9ntehNK/YemHgZmLsdxRgkc3PUQ02KW5l\n6aZapKwsnl1kt/2CvJvseA/yJUovntCenT/RhyHEvkqzI0ndHkO9kpJ+sYxbq9KZOzbIUCQFzaw7\n+nTIZpM2jA+5jybYDU6oM/EgJu7EpG5fb0O6kd5PRHu2TrCiCAsuTio+mYjWaiXqzCefjCx2rMJ+\nb82qT/dhF2fOwSwmVjnf30KpLlorQA39reIYFUToEAglOgQVQjlULE8v8TCl+AdZi+XSNJ/VXvLv\nbTTIqgipIqQO6etFsp/OARIh5Jl/i3E3Vra3h9WZbjcpciazZyZMmPAdwdu3nR0PBshbJtuOZjaW\nI/dqw3QGoRVmv0fkDg9GdnN5es06tbXXlBdvXrg5F8oZLLVJLMez+hpW4mjxe5B6C0mntpssafwu\nOJc8fqakqK0ZZMrx4bpEC5vQmMWO1/CNe0MLloK02IoGZC4Z4/yh8N4XNHUVYglJ7hoGA43CrIaY\nuxEqLQnLJiorx1q1pqVJKxocJp6dpr4lyc+oM5vJjlvP2vNnWHJOodLJPJrrKmgMCwqzifVs5m78\nThbrnl2gldkmDEGstOB781hGCkPaDMI2rp1D2TahlybVajAolE7eP58M2uy3BW724m2UfrFM6cUT\nutOzh4Wk0rDbj3iQHx2ZZhhJEFW3e3II/YeCChVxJ8a9c1S1htsh1rQ1Mqb5ygQBZq+K8RufEXbk\nyUQ05SfV4d2756Z7Hag1USsi2Anw13x0ro7ONrCdOUQo0D7oUEAg0AFoH9ASK2UibEGoQzp+h632\nFj/x66ynWnRNCx3+MsJa4D/6vb+Nc+wto4G+KGBZpbMe1uUYDBLb3SQMYMKECd9xPCnpnFJoXMNA\n5Qzc/tmpq8lMmgadEQWNEILy0i2qr5fZW1+htHDj3KJGyRyoLaRqomT+zNudeIw5Rb91lCp23Ryo\nNM4lj+94YFhJUpqXP7qQxbKCoRqYapfImD5xH2N/M74Rh1QuMST+Q+G9LtHacUioFUX5FooZpbHX\nAoxmjH/XIbjhoHLG2FvwBypNe4R8120ItBKkC+cvsA+sZ1Z3PD9TnDEwOtd7UqULGtPWNHfe3Vsh\n587QLvbQKoatxD+Wtov0giOpuV8sk6oPhwMIkfQDjfv4lW0nyWmNIwubawjWe+eHYh/Mo/kQCash\nVumoeFGhIqyHWFOjzyt9gZXyQlZWYGYGkUphV2zSX6SRnqT3VZPBP3yCml8auzI0cybePQ/nE0XI\nFmJrgXjFRe25iDCN5WSwyxm8WzkyX+SRnxjUc3WWB8v8Uf2P+L3O7/HT9Z+SX7iLiDx+vL1Ia/EH\n/Er9ZyeKGYD/z3H49b/4F6/23I+zvZ0M8jye7qZU0lc0KWgmTJjwHcIbEQwAkM1byF58ppt+kE+G\nbJ7l+xJCUL5xmzgKqW+sXfg4Ijmd9NKMiZt5e300kGzK9lqCES/NhWRLmvbe8GMLjSVMtYPQw4kD\nGWkSohmo6wmZep94bwuagYppq+ithACIQOEs+2gB/u2zI5cvIiNNBiomPLYAVCoJAijOXqx4HFjP\ncuvjpZ5pV0KsEcH1FjXFOUWvIfB7F9/2beBaeRSKwYIkrjaR7RjXLtAPW6j9ky7I5jCDAMMfjmY7\nmLY7bnNdrzyFt1c9/IBMGYL1/vm+0g+1oNFaD82eCXeSAmdUzHIUteh0/phO5yv6/VeE4R5KXWIC\nUr2eDMk8ZrMSUuBMmXj2BpTK9Dbs0YloZ6BUgB+/Irf0KdkvSqS/l8a755G6kcKoGHTosLqzylcP\nv+LFqxesddZYZpmdcIf2z9s0/8kmDxYWeGXc5mXxx6S91/z41YsTP6ML/N79+/xLP/7x+M/1PMIw\neS2mTs09aDTA80Nm18gAACAASURBVJLUswkTJkz4juBKiX8qGAAgl7XQYYyrIBxxTYidFLFpYfXO\nTuaRUlJZuk3oD6hvrJ3bUxPLAhAj1XgXdNtNlgqXTSMbF8MCx9UM3iBNzc0lSWmn0161cJLCLV4d\nuo8Ugry0aKhwrN6jD4n3sqA5CAEoG/a1+/xkJ8Z56RMXTcKF4SGYlzrWQS/NMZWmXRU4nh7bD3nZ\n1LM4ayCvWaU5bj17k12CqyKEIJeaISCgMd3DXg8wI0nKytALGwc3ol8YHQ4AUNhXacY5PyMvjZLG\nYShDyhBUBzHxOXfOZBLL2Yd2/sftGGEKDC+x1+k4KXBGRTXH8YDB4CWu+wmuex/D8IiiOt3uN3S7\n3zAYrBKGDbQ+o/g+mDlz48ZJpVNrWF5GFrKkfnFpdCLaGWit6PeXsaxpTDMHQBAE7O7u8uzZM776\n6iuq1SrKUqiKYtVepTqoknrh0fhJi9rWc3KLZZ794l8g8xd+k3/wC2n64TafbyZJMBr4fdvmP/yl\nX+Lf+q3fQm5twevXXPlE2NmBUmm4R2hiN5swYcJ3ECEEKSnpn/pszVsWPQ/mYsHgjLRR/4JwAABp\nGEzdvEMYDKiuvESds0kcyekz08BG4e4PwXxbeAVNt3H54wuRJJ6diHDeJ5JTCDSGqg7/PGkgESMd\nRh8y710PjdKa3Tggb1g41xwCYFZDzFpEsGij0tdz7Iw02YwGhFIhQklnTzJ793JSXmc2GbhpddvJ\nvJRzUGmJ0YqJS9f7q0tkT03rVMz0t4VnF2gamzTVHlPlG9grAd5ikU5QJeMkC8BBsURx+Rmdmbkh\na2AqozGs5EMhU7y46uiVp/BquwTZHFIINNAIYsrO6NfVMMB1P7w+mnD3pLUsrIYYWQPpnPwA1Dqm\n33+ObS9gmskTNIwUMI3WGqV6RFGbMNxlMHiJlC6mmcUwshhGJmmSX1tL0rxOv0CvXye/r6Ul4CgR\nLe7G+Gs+4XaIs+hg5odfe99fQ0obx5ml1+uxurrKYDAgn89TLBXJzGRYaa1Q69Vwtcv81jwbj7Z4\n0nqMzDQh8xnLN/40xrMMn93d494Xv87u+ix/JRKYvR6R5/Ebf/7P81/+6EfImzeTQmZlBR4/Tnpf\nzunzOROlkhS3zz47+fUgSN5Ad+9e/pgTJkyY8IHjGQa9OCZ9LAjJkRKZNZhuKVZjRdYaXpwP8kVK\nzx/TnlNDA5qPkxQ1d2lsrrPz8jmVG7cw7eFekVgUsfQWUndR4uLdZzenae6+vWHkbk5T35TEYbLB\nfBnSRU3z6Yj7CkFgLOFEz1EihxYnNzFLhsV25B+mn30MvHcFTS0OSAlJRl7jQ1MaeyNE+OpKFrNR\nSCHI7Ks0eitFtqwu/YbUhkF7bpHc+sWpZ3HGwNoM30rkVnFOsf3CwM1ePnHjqgghyLuztPrbdMp9\nCr5HrupSzwyI4gDTsIlthyiVwmk18fOFoWPkpxS1dYN04WK7n58vkN3ewBj0iVNJs3zNP7uggaP4\n5g+loFGhImpHpG4li3KtNcFOgHv3ZKSd1pp+fxnTzGPbw1OXhRAYRhrDSAOzaK2I4y5x3Mb3N1Cq\nj+GDUd/D/PyXkccnPm9uQr8Pn3469H410gbepx5RM8Jf8wm2ApxF5zARLY4HRFGdVOoBq6ur1Ot1\n5ufncXMuu91dvm58TaACik6RT/qfsPu4xpPGc9ajLaJMRFD4AeruD+g+M/mVfEzfaBGUfP71u/8C\nP/5Lf+nkk3zyJClCpqbg9u3k30+eJDN0LquoVKuJR9E5dSGt1RLV5pwL8oQJEyZ8rHhSju6jKdjk\nXgcjLWcAyrKIXA+n3Rp57T+OEILi/CLt2i47L59TXryJk86cvhGhMY0ZbxOYd0Yf6BhOWhOuSuII\njLewapZyfyZNS5AtX65okgak85pOXZCfPnlfLVJEsoIVrxKYJzfSTCEpGTa1OGBGpDA+1AjXY7xX\nV9ZmHKJIouWui+vqlzmPrDRpdhR9X5OtvFkFH2RzBOnMxdYzU6Btgexdv4pimFCYU+xtvBvrmWcX\nsQyHRm+DYN7CGGgyvQzd4Mhm1i+UcUeEA0BShFmOpjOiSW4IIeiVyni1Izl2q/dx9dGEtRCraCGM\n5PWI6hHSkYf2swN8P2mkdJxFtNY8bPhnXlgAhJCYZhbHmSed/oxM+kvsTR89N80gXKPT+Tm93nOC\n7cfEu2snZs2MwsybeJ97mGWT/os+/eU+ylcEwQa9nsPDh49RSvHgwQP22OMP1v+A5foyU+kpvjS+\nxPkTh+dfrfD7e094KGrUTAe9+Cvkvv8jtnYsfhhJZKnJXAWEltydmR5+EDduJFHS4X6/UKWSxEpv\nbcGrV+Nb0LQeHdUME7vZhAkTvtN4hkF3hBUsn7ExJZj+2dedJO3sfNvZcbLlKUoLN6iuvqIzYs0Q\nixJS90fObDmNEIkL5G2GA7zpTBqATFnR2ZMjL1ORnEEQY6hhu74rDdLSpBafb/3+UHhvCpqeiumq\nmIpxPYP+YL9fZvl6+mXOQyCIdm2M6eBKoklndmGs1LM4c/19NAd4OY3taZpb3/5bQwhBJXOHWvc1\nWkBww6bQyDJoHZ2Ifi6POeifGI55nPyMol0dfWKfZlAo47QaiCjCNQQvu+c3vx/00byLYu9NCKsn\n7WbBVjDUOxPHXaKojuveQQjBNw2f/+Fpnd98Vqd5zrDR44jtXUy3QmrmS9Lpz0mnv8DybdT6S/qL\nko7/kH7/JUFQRanRvzchxFEimitpP9zl5R9/w+b6gLt373Lz5k2qgyov6i+YzS7yifsD2n9s8A9/\n8oy/u/6av73xhK/tAMfKsfjg1/Hufcb6LpQ2Bfc/VRi9NtG8pBSkmSqPiOt03aTYWFs7+bUHD5J/\nP3qUKE0X0WgkDf/pUxJnp5NcFU9/fcKECRO+I5wZDGAYGHmRDA8/Az+bx+p2ENH4fR+pTJbp2/do\nV3dobG2cXLQLSSSnsOLxemnc7Nvto3E8UDEEw7lHF2I5YLt6dDCSEATGIla8QTKg7SS5fTfUxzBw\n870oaAKtqMcBFdO+NtnL3A2x1wOCJZuo/HaddZ2aIG8ZaC8iukLk7aH1bGPt3FWzyiTzaN4WxVlF\nvyMYdN/ajziTnDsDGtqDHbQtEYsFzK0Af7CfcCJlEuPYGB0OYKcSebhTu/h9pCwLP5fHrdfwTMlq\n5/yC5ngfzftO1IoQxlEYQNRKPqxO96n4/hq2PY8QBoNY8b+vtJlxDdZ6Ef/Voz1etoPzf9BgkDTA\n37hx+CXph1grdVL3f41M6RfxvAcYRpY4btPrPaHT+ZrB4PXIBDUhBbIiWZF/RBwWuKVvI7ckmy+q\n/F8//5r/dznFX/97ff6zv/X7/ObyKn93d5VnUZXFWzl+lJ6m9MWvEk3N0O9qas81/+qngvVOgztz\nGRqDJrcL09j2GQrw/HxSeByX4aSEW7dgbg6ePoXd3fNfj62t0epMtZqoPhMmTJjwHUUKgTMiGMCS\nklzRxujGxGe4A7RhJCMXWo1L/UzLSTF9+z7BoDcUFhDJMlJ3EPriKiKV0Qy6bxavPA5C7Pcyv6FK\nk60oOiPCAQC08IhkGTteH/FzBWXDpqsi+h94lPM7L2hiralGAQXDGjmg8tIojb0aYLRi/NvOtTX/\nn0UcQqsqKc3qw16aqxBkcwRemuzWxpm3UZ5EBBqityMRSgNK8/upZ9/y+1sIQTlzk932SwBUziBV\nrBC+3jmMGOsX99POzpBIc1NJ6sc4j71fquDWa9hC04oU3ej8T6sPxXZ2Oqo52B5WZ6KoidYRlpXY\noH53u0crUqSFYDplYAj4757U+cl2l+gsC9rKCszOHsUQhyE8f54EAGSTgAspbWy7guveJpP5Pq57\nFyndYwlqDxkMVomiJq1Wg4cP/5BsPsUXv/5r8KnH7w76/Cdf/TF/8DJEP+piBHs4swaOv8bMHY/P\nZ7Pcs2bxP/slwnSWOIJnT+BfLGvaU5psr41eshF9wc2pc4ZmSpk87pWV4fdWqZT0Ae3uwvJykuh2\nmmYz2YgonPJ4K5UoN6VrGtg5YcKECR8onpT0Rnx+Foo2+VDRP+caPCiUcC5hOzvAME2mbt7FtGy2\nl58RHTg8hEEkK5hjzKUxTLBSGr/7dm1nvaZ4ozTV1L74f5YtLrGeDTDUcEFo7Bc1e3FwpU35d807\nLWi01tTiAG/fx3dVDvtl5NvrlzlNY0eSLmgsJ0k866v4ym+IC61nQiRpZ29RpUllNKm0pvEOrGel\n9A26wR5+lEghznyFXtzA2E528+OUS2zZh7HLp7GcRB5u7V782CPXI7YsUu0WEtgdfPh9NCpURK0I\nq5QUNHEvRvUV5rFkPK01vr+O4ywihKA6iPidzS7zfY37eICzPKDQVUynJL+12uGvPt5j5bQlr1ZL\nFvbT+z0pcQzPniWN9ecs3g3Dxbancd27ZDJ/ilTqJkJYbGx8w/Pnv02ptEahNMVPt3b4y0+q/J3a\nM5xKCmXuYCxk6fg7qGiXzOez3Ihipt0btO9/n9h20BpWXgoWwoDvf99hZ3WP+7cKNOIO3sBlppI7\n/8UrFJJm/q2t4e+lUklymWkmFrTe/uCmZjN53q9fJyECp6nXE7+i9RYGBE+YMGHCB0T6jAGb+ZRF\nJm3gd89e1wSZLKbvI4MLnAMjOAgLyJYr7Lx8zmB/fRXJCoZqIvTFx/SybzYvZlwsB6TJGxdNmbKi\nfZY7RUhCuYgVr4MeXuc40iD3gffTvNOCpqFCBJC/hmLm2+qXOY7fA78jyE0lJ6chBGlpXjnbexzr\nWZwxMN5SH80BhVmF3xP03+IJPIqUlcG1c+x1VgAwzRR6Lku4V0e2kg+7RKUZHQ4AkJ9WdBtiLD9q\nvzSFu7eLQl9Y0GQyyTr2fe6jCWshZsE8DAM4UGeO96aFYQ0hDEwzj9aa31pr47Zi3FrM4J5DWLEw\nGjG5FwG3eppWL+KvPqrxv75u0Q4VRFHSb3LzZqKV78+aIZ1OFJsxSR5TirW1Lr1eiU8++TO0zHn+\np2XF76w+Ixf9Y6b1N6hXP8Vut+ltviKzlMW7WeROPcSbeUD75t3D0IH6lmBQC/jXPk/xMgypRB2M\npSK9fpuCyJDNjhFRd+NGYqPzR/T7SJl8f2EhKWK+/joJEyiV4MsvIT+iP2diN5swYcIE4Ci6+TQZ\nwyBdNFCtczZqhcDPFS4VDjD0c0oVSgs3qK2+TsIChEksy5jqAjsxkMrqt74eSsIB3uxneHlN0Bdn\nDgFVMkMsC1hqtAMoa1gYCBqXGab9HvHOCpqOihhoRfkaQgC+zX6Z4zS2JPkZxfEI76w06V6DSnOR\n9UxlJPItKjSQWM+K8zH1jSSu8Nuk6C3ROabSpL0S9akO9kaACBSDfBGr20GGwydepBU14UPFH0th\n8nN5jDAk7fd53Tn/iUr5/vfRhNUQeyqxgKlAEbfiE/YzrRVBsInjJGrC01bA09d9ZhoK/6aNdiQq\nZxDccvCXbESgmV0JudlQ/NONLv/pV7v8/T94zF46n0y9h8SmJcSJXppx6Pf7PH78GGmaiLlb/J2V\nl/zPa2XaYpZc+hO2+xm2XyzwcmuBAXdJf3kXx4q5Vxeom1/QmzoqnroNwcZGzG9UNM4di9bLGp/e\nLVMNW+i+4EY5hxxno8O2kz6Y1eEpy4cUi0lgwO3byd/l8ugYdd9P+oxGFToTJkyY8B3DlZKBUkMq\ngCklxbKD6J2/rhmMMWTzIk6HBQSikqSAjWiaP47lgJAQjJEP86Z4+aRoepNNUykhUzq7lwYglHMY\nuotUrZHfLxk2A63ofYD9NO+koPFVTDMOqRg28irFzEG/TPvb6Zc5zkEFnS6cPCmN/bk01zGBtTO7\ngN1t4+4NT3rVtgRDIPpvVypIpZN89G/beubZeSzp0OonCSSeVaBv9hhUBPZKAOzv1JwKB+iq6HBY\nlM6F+PEYE3iFoF8sM9Xa43X3Ytn5fbadRe0IIcXhLJdgO8CqHEU3AwTBzuFcmVhr/o+v60zVY4Lb\nDvr0wE1XEi7YDO6lELbk5nbM0nKLrx9X+ct1h7/xvMGLp68I2p1kEOUlzudarcY//eYRr40cf7vp\n8TefvmKzr5hOl8nbBmub67z+oxr13i5GepvCTc1cb8Dtfpru3S8IckdFQtCHnXVYlD6/9MMsr7Z9\n5mQXc6FCGDSxfI/p8vlDa08wM5MUI/VzLpyj0syGn2Si3nwEGf8TJkyYcFXOCgYAWKik0L0Izhkb\nEKYzCK0w+70rPQ7LSTFz55P9sIBVQp3DVMNrrdO4WU3/LcY3GyY43psnqmWKmm5TnL0JLSSBXMSO\n10APFy1yv5+mHgeEH1g/zbc+WDPSilocUDJsrCuEAIhAYa/8/+y96W9cWZrm9zvn3CXixr4xuIik\nSEm5VnZVl6erp2emF4xteIBB27A98BfDhv80f2jYXwY24Jm23XB7dqO7a6qrqqtyUaaUorgzSMa+\n3u0cf7ikRIqkRFFBSlWIHyAok4rlMuLeiPOe532fJ0CnJcF9905azE7RMXQbksry5RVsTlrsRxPy\n0ryTa5tRis7qOqWNp2ip8Iulc/8en7idRenbLTYK9SRwc9QTePm76a1MWTmUtPDDAUE0wrE8UnaO\nQXqA7edx9kLG5TKF3S1GtTqxMbTjkAhNzXJxhEQJQXtuTGfPI50zvC4Md1yqUD76mp2BT6ANzmvO\np1wuyYv8EDlrBqAjTdgMyXz+ctGtdUQYNkinPwZg49hnsuVT+MS7UMycwxZENZuoLKn9coOxt8jq\nfszhzi7/x+SIo/WH3HvS4Yuiy5Jnk7EkniXxLIEEAm0Yx8mf40nIXz9+xt/tNqBWR4YDMrJDiW8Z\n6gqHjW85bkzY2/sZ9WKdKGrwk7nfZXHk4ueLdFfmMdbLj644guNthaWH/MmDNO0MTH51xN/7tM5O\nHBBEPqlxhsrbFDRCJO10GxuQzycWd2+LMUlB8/Dh2993xowZM35LOTUG8F75XF3OOoxSBoYx5K5e\nniaZNB0Gae+djkMqRW31AZ39XXY32ywvhZCeA3H1530qp+kcKAq121MwMsUkKPPVDfProOxkE3rY\nFuRrVwSVyhyxKZKOviIWHlrk0DKLxgMhcISkoGyaccCcct9NeLhD7rSg0cZwHAdkpUX6davLNyAH\nMc5OQDhnE5fvvCajdyRJZQ3uFdfSqUrT0yEl5Vx+o2sSOy7t1XVKm88S28Lcy6HmOKuwmhHU3ukp\n3oiUUF6Mae4oXC++laTci8+pSNk5DNCbNKhm18g4ZXqTBtmFCu4zH8YuRkisQY9GysUWgjn58uLL\nSothOibIhnQPbUoLV+82GMsiKJTIdJocT+ZY9K4e4D47R/Mhhb7rSBN1I1IrKQDCo2SWRtovDzII\nDrCsEkolt/n5r7roOQuTut4vkjk+xJ/zGCxXcI66rHx1xKC8gj1UtFTIvxwkc3EGTRQHRDrEmORv\nrX3CYET7YBOlYGFxmazbx5IOLkNMlGXYXEeELmn5Kz5ZWCHXnVBTFYrZGu1andhxzx2PMdDakUgC\nFpTm3mce3z0bsOBOsBbWiPr7xKFL2bNwXffyX+oqstmX1etlw/5vot9PDATS6be/74wZM2b8luJd\nZQxgWbgFRdCNcF5X0BRKlJ5/z6C+8M7q96lZwKCV4nD3l+Tnn6NyD668vesl7rZRANa7Le+uJJUz\ntPfljZ8jV9Ycbyty1fjKlydUi4SyjjRDlOljxztI46NFGi3SFESaEIt2LKhYb/nd+Z640+VYW4dY\nSPLq5m4/Z+dl3kcxE/pJu1lh7g32viezNPEU3CLiVJrO8n3yu1vnnM90RiZBVPHtqyZuBjIlTXNH\n3shS8Cak7DxKWATRiCAakbJzRNonMgHBioN1FDJxi0w6TSRJ7+erOwllZUMloN99c2DVqFLFazc5\nfoMxgJTJ6Mhg8I6/4JSJmtELMwCjDeFReM6qWeuAKGriOAsAdBo+37Z9cvPX+8RUkzHpdpPB/BJi\nPCB19JTdH5Vp3PfpTxrY326S3fwe0fmG2P8GW2+TEU0K1oT5tMWcssl1Jnyx9EP+4e/8Ux7Ufkg9\n/4iis4zTE3QOvqCU9ahbTyhu/pT7ez3crIX+0R/SX1q5UMwAdA8lOjKkRmP+wY8LHE4iJrtHfP7J\nPEdxTOB3YGwzX34LdeYs9+4lKst1QjVfpdlMZmtmzJgxY8YLrrJulkJQrbhMeq+fZYndFLFlY4+m\n9yWcLVfx5n/E8ODXDFpXGwQIcZJJc4ttZ1ImrW2XBmVeAycNyr5G25pQaJknVEv41seMrc8J5QIG\nB2UG1M0eqejXxME32PEOSjcRZnxlZMb75k4LmtDoZIF5E97jvMxZOvuSfFXzpl8jcTxTU5mlAYi8\nDN3lVQrbm1ijk4l0KYg9iRzeTZ9jvmYQJIvIuyBt5/GjAblUjd6kgRACzykxDFoYRxIsOQwGKcLe\ngIq5/JhsIcnbFtQmtPdff9xxKo12XRq7b/ak/xDnaM62m4WtEOlJVPrldeL7u9h2DSltTGx4/LjP\neN5GXSIzxTrEj4aMgg79ySHt0S7R079mIzVgp/MlvW//kuf5mLbyCVVANO8Qf1IiU15gub/Gw9bH\n3DOPqOceUM2uIgYC/7DPwuonlOvLCJEMPXaPBK1nLexRzMPUAYu7/5Hus58T1Vbo/+5PGD1Ywcpc\nXhSMuoJRV+CZEfW6S25O0Xs+YckLsOs1BsGQ2GhSY5tK5RruZpdhWYmj2ebm290vjhM751n2zIwZ\nM2acw1OK8SXGAADL1RTjSfzGnD1/CuYAr+LmqhSWPsVvPaG9v3ulfXH6ztzObr7WylXM1RbOVyEU\nWmaJ1ByBWiWwP8VxfsgRNXwslBngxJuko1/jRk8+uCLnTguam5oAnMuXuT+dfBljDHEYEkzGxNH1\nio5RTxCFgmzlem9cXtoMdDQVlQYgzOToLa1Q3H6OmiQ7xredR3MWIaB8T79YSN42lnITa2GVPlFp\nxmScEkM/+RCbZAWHZUm175F5jY1jTlpYec1Yv9kOUdfmONp+84DMh1bQRCfubFbWwhhD2DivzsTx\niDju4zhJiv1kd8LPghAvf17l9MMBu50vOeh9S3u0yyhoE+mQfHdA2i6QWvicT7ou9aU/oHzvJ9Ry\n65Qy98in62S8MqqeJ/woQziX2D4734zo/eJ7Jp0uc2uPSGVyGAODtqD1qzGZ7S2+mPwHyhImKYcv\nbcHuXJb04qc4JY+UlbvUBTGYQHtfUstNiMean/woS7dv8I8afPbpIkdhiBUPiEUOFQQUCjdUaOCl\n5fLxmwdGX9BqJbM31t2ryDNmzJjxISOFwDlxO3uVFc9llAL1ho3aSaGE2+tOP0MhvczCcpbIH3O8\n+Qx9iZKUyhr80c2cyK6LezL6elNHtXTOEEcC/928E7ClTc4q0jBFJnIF3/rkgpJzschpvZci506/\nba0bmABMY14mCgKC8YhgPMIfDwknE4zRSKmQJwMhC48+ee1jaJ0YAZQW9LVbNs+qNMV3aLM7S5DL\n068vUtp8RnvtIXHOxt0OuCvXcGVBdTnmaFNhp2LsW26tTNsFgjMqTTV7HykU47BPR9jkqylolcg+\nPWRcnbv0MaQQlJXNwdzkjQYBqljgaG8XPRggs1fv6mcySRfShzJHEx6F2LXkHIu6ESiwzvQg+/4u\njrOAEIp4FHOw57OdFyxYL09mPxpyPHxOJbNKyn5ZAMgwpNxt0179hNr+PnE6x6hWv/pghEDnFAM7\noP10kxwZVsIF4iMYmTHBbp/suMV8BeRCSLvwBSNrlcONJ/RNl7w3T/XeGseDZ2Tci+qMjqG5rSiV\nI8KDgLXPMygb+t+NWClqUtUK7eGQIOiiJwXmCxbyXd+k1VX47rskePM6RUqzCQsL7/acM2bMmPFb\niiclI61Jv2IMMO/a+BkBgwgKV3fiaNsmSnu4/R5+oTi14zLCA5WlvpyjeRjQePaE2uoa1pmWZ6nA\nTSdtZ7dplOQVEpXGSb995SREMkszaElc790qr4y0CIymFQdULTdRckQWzZk1komRZow0I5TpY+lD\npAlezORo4aFFGkPq1lw/P4Cl2NXcZF5Ga81k2Kd31OB4a4O9b7+i8ew7hp0WQkkKtXkWHn3K8mc/\nZOmTH7Dw6BOEEC9SY69i0BTYriGVfbuTNyetqao0AH6xxLBWp7j5DKFi0AYR3J29npNOQjePtxTD\nThK86Y+SIbmpb5bYOcZhn4xbxY8GBNEYzymyOz4kJSQZZTN8VEL2Nc7B5b7qACmpyHmSMBu+tmVO\nKUmvWKG7c0lS/Bk+pDmaUzMA6+QaCQ6Cc+pMFPXQ2se2E6VhsjXhK88gbfFC/QiiEceDDcreyrli\nBiB7sMu4VMFrJUGm/cU3D8gPO22Onn9P9t4CmS+WiDID9C+ekf/Lb5mbDHE+X2Lwg4cEZYHvLNHc\neY4fDonwWVn7McZo/GhEys6fe1xjoLkjSWU0+aHPsKj4neUUcV8Rdhp88vESzTjG1hNCJM4IyuU3\nWCtfh3Q6mYfZ2XnzbcdjCIJEoZkxY8aMGRe4KmCz7CpMRr3oOngdidvZdNvOACI5h2OOKc0vkqtU\nOdx4emGNeDchm8kczU2Xj5lScozRm9Mo3khR2sQY+vEV2+evtKtdVHL6t67kfJj9ENrg7IaIUOOv\nXd1iZowh9CeJ+jJKFJgo8LFTaZy0RzpfpDi/eK6yvoxsucKgeUwqc3lbShRAvympr799a5cl5NRV\nGoBxuYqIY4rPv2eQWkEONHH57urTTNFgtGYyEOgI4liiYzgdGZJWsouhlHnx39IyqEt+/jrXNMfK\nEOsArSNybo3+5BDhVhkNd1jL3k9uZAkGn5TJfdekVcpeaT9clDajyoTuc4tMMSnMLmNYLNM92qH0\nIAT76vfstO3sfa9bo1aEVbCQliQaRJjIYBXPqzOuu4QQguA4IIzhb+KQsnuSVRONOR5sUPLukXbO\n/zJOv4c9c4E9LwAAIABJREFUGRM5DtZkTOf+g9furhhj6Ozv4ve7LJfKeMdt/L/boycKqB8uES1m\nsPoaqxmR7W4RF7M0Rw2C8ZhB1GR17cfYtsPQb+NaGeQrqm7vKJH5q1ZAuxfzye9kMcLQ/L7PWhlS\nlQpPBwNk3EfaeXTfp/xwSkrJwgJ8/XXypude08J2agbwG2J1OWPGjBl3jScl7UuCsbO2xElb+HFA\nOtCvHTHwcwWyB3sof0LspqZ2bFpmMdpCmQ7ZchXLdWlub1KYmydbTjYG0zlD7ygxSbqtj3rLActN\nlKB07u0X/VKdWkBLivV3220WJ/k0h5GPIyTudZyKr1RyRkgzvlLJkeZm9nEfXEHzunyZOAzxT1rH\ngvGQYDxGWRZO2sNJe2RKZZy0d2nP/evwimW6hwdEQYDlXHwhu4eSbFnf2KIvJy0akU9OWu+US/Mq\no1odoTW5/W0GeuXOXd+yZUO2fPEi0zopbHQMcSReFDpxLAhGJz+PBTpKwp+MSRQPqRJnjqTgSQog\nqQRmUqQb98l4VQ7HX2NbRWpOAT/q4zmJ1DxaqJLZ+4bUsxHjjzOX5hIpISg5NkdzE9r7aerrl1/g\nRin2vQL3j45gcfHK3z+Xg93dG754UyQ8DnGXk6L9dHbm9BoIwxYgsO0SOtIEuwHbNYG/n2TtxDrk\nePCMQnrxxWv5Aq3J7e/gZ3Kkux3aa48wr8ljiXyf/pNvyI2GrKeydLd9tk0F+XGeXE28aPOLixJd\n0Kj+gPZGjnj3iCjjk18vU8gmxcc47JJ2CucePw6TjYXFpRC1GzJYdFgvW4iuhR7v8+AHK/SiCIFh\n5HeJzAKeFeB5U7JNVgqWl2FrCz777PJvsdPsmY8/ns5zzpgxY8ZvIWeNAc6u2aQQLKRsuq5PZqiJ\nX1PQGKUYVWpkDg/oLd+f6vGFch5b7xLLEqlMjvr6I442Nwh9/2SjXKAsCEYv511ug0wxCQe/SUED\nkKtoGs8U+dq7t8dbQlJWDs04oC5SN1vPCpXk3nBmU/CVIietb9b68kEVNLIf4+wm8zJhURKOhydz\nL0kRY7ROihfPI1+tY6fSqCkM3Uop8Qolhp0mhbnzu7n+EPyRoLR48+rWEpK0VAx0RGGKKg3AsL6A\nDCLy325xtPLwZgGAU0ZKkC+Kv7MX4eUXpDGnBQ8nxY84KYYg8gVmUuCo02PiWhyGFVJ7PXKyRlt0\nqHjlE5XHIc5UyY66OLsOwfLl1WdWWgzzEaNOxLCjLg2uSluCJ1aBPzhqwPz8lZ8Cp3M0cfz+XvZo\nEIFJ5mXiSUw8iEmtJTtVxhh8f5dUag2AYDfAKlv81WCEp5IPotZwG88pk3FLFx47e3iAEYJUv0v7\n/gP0FWqVmoyRe9voJ4+ZK1fxSx/xtV/BXbAozF3uCGjpBj3jcmT1EEsWttTMd5dwTUBQlkzCPiXv\nfGtbvynJ5DXpRsB+2eJB1SavFAfPOjysWTilEtvjMW48YiBdrH5MpfxuwWsXKBYTc4DGybnxKt0u\npFLJnxkzZsyYcSlKCGwhmFwyR7OctvmbtIB+DKXXr/FGlRrVJ99gjUdE7xi0eRYtc6AlUnfRsoDl\nuNTXH9Hcfs7x5jMqy/dJ5wXjgcTN3F7Lv5c3dA6SDpibxDdaDrieYdQRl25Avy0pqcgYi2YcUFPO\nWwsIl/JKkTNUNzO6+mAKGr3TR+8PaZcCxq0x0cGZ1rFcgWJ94Y2tY+9Ctlzh6Pn35GvzL94gY6C9\nryjW9TtXtvkzKs20U1f7y8s4288ofveczifrv3GtLkIk6bYvF77ni6CC9tjtPEfmynwuKgwGTyin\nKzS6PXLpAIyNjqEfVBlv7+B3Be4wJvVAXbqYLimH8ZxPazdDKmsutLxllOR5JDCeh2i3r8wSkTIp\nagYDKBQuvcmtc86quRFiz9kIearOHCJlGsvKEg9jom7E6IHLk29CljzFYHJMbCKq6YsLc2s8wjvc\nxyhF5/4D4tR5lUOGIalum1Snzej4kGMdYz76BzSiOpZjqCxrnNTlH/LCTNDjBvs7EpDYtSwmo1G5\nBeJODFsdiqGDswpxIdHz9Ugz3hEsFSfEKcEwI3hYsqBpI8IDVh+sE2jNII7xoqTdLOz7lFZuwTZ5\neRkeP4ZSCV4N65xlz8yYMWPGtTgN2Hy1oFnMOIRpRbQfInjDuk9KhrU6mcMDuqvrUz2+UNaxdQNf\nJl/wUimqq+t0DvZoPHtCfm6d3mGa4ms8ct4VqRJXtVFPkC3drCDJVjTtPUW2PB1H3Ly0OI4DulMe\npXhX3ktBc651bDhAbU6wUURrHnYuQylduVHr2Ltguyks12XU7ZApJrvVw7ZAKINXePeq1hKS1Mks\nzbRVGoDug3vkd7fJ72zSu7f6G1fUvA4pFRPl4kUjCukKuFVG0TG5TIFYtcmlaskNSzYFNF3RY7Cd\n4zhU1D6/KLA4QlJMW7RyPr1D94L6Zks48jWDco1cY++1C9Rc7v0VNCY2RJ0I956LDjVhOyTzg0T7\nNiYmCA5Ipz/CGMNka4J7z+XfticoCZH26U4OmMs9vHidGUNhawMVBLQefkJ4Mlsm4hi33yXVaWGN\nx4yzOZ5HId3cPMpaQ2qX0mJM6g3yu/R3ONgbAQW8QokwM6aQXkhylcoWLXdMalRAdWLsgxAEdFqS\nrKWRBcleWrBSkNyzXZ5tHvNp3cXK59nzffISWkEf7VTQowbF4jvYNV+F60K9Dtvb8PDhy59HUTJf\nc//+9J9zxowZM37LyJwYA1ReUf+rrsK2Fb4KSY81Jv36HeVxqYJ3fIg9HBBmbpg5dglaFkDvI3U/\nUWxIZklKC0sMWsd09r8jmDwkClI3Hkm4DpmioXd884ImlQEhYTIQb21sdRlCCMrKoXEyT+PdRDq6\nBe7U5ex4+zl7333N/tPHDFvHyNAw1y8x9+Ah+T/5lPL9++QqNVwvc6fFzCnZco1BO8maiKNkdqa0\nMD0psXDieKZvwZtbZxXD3CIyjsjtXcOJ6TeIgY4QVpZUnBiq59wak7CHqzyGwXmHk3FtjnJ0TP53\nFZl2QHvz8vMoLy2cSkynry/4vAshkEDD9hKZ7jWBM9ns+8ujCVshVj4xAwgPQ+yyjbSSSzoIDlCq\ngFJpwqMQoQRxQfFXR2MqjqQ53KKQmsdWF1ujvKMGmcY+3dV1/EIRp98jv7NJ5buvcXtdxqUqe6vr\nPO6NORqWkdbHFOo28w/eXMyYeEB3/zvGfpZUJotbzSCEfGFGYIxhEvZwyiWC+y7+ust4xaVZ8kj/\n0CKoWgyF5rOyzaShcE2DpbVljDEchyFWNEAqDzUKKeRsrNvKganXwfeTomZ7GzY24MmTpCXtA2j7\nnDFjxowPnVPr5lcpOgpXSkYe18vZE4Lh3DyZwzdnyL0tkaxj64uup9lylcryKuPeNsfb03daO0sq\na4j8d3Mry1U0/ePprauVEFQsh3YcEJm7c9l9HXda0KRzeWqr69z79AvqlfvMDUqo5SLxSvqDUBTS\nufyLsM3eocTLG5wptsKfVWmmjfYkIoLOwhqWPyF7sDf153gf+EbTjUMW3SJ+lNgyS6nIuhX8aITW\nIUH0siIJsskuisWI/McCsRUxaF58XCkEFdvG1Hxa+5ecewK2RyHMzcHh4ZXHd3aO5q45zZ4xsSE8\nfhmkqXVAGB7juovoUBPsB7grLl+2fYJYM/IbKGGRTVUvPKaajKl/+QtGtToyiqh++xWZowahl6H5\n6FO6K2schZrv/3YTf7REbWWJhUf60lmkyxjt/pzeMI2TzlC+t0rfP6RwpuUtiIZIYWGppM3AOJLB\nUOFmDJYDTV+zkBV8ZGfY3W3w8byHymbpRBEpKRkFXYSdx/QnlEq3OKkpBKyvJ/Kf4yRWd4uLSTva\njBkzZsx4I1dZNxdtiUISeQIzvN56aVIoIaMYZzDdHcZYFBFEyEsG1VOZHMufrdLc7tLe38XcUpCk\nEOAVDMN3CDT3CobQF4T+9I7LFZK8sjmOg1vZqH9b7rSgyRTLSWvXUYiz93b5MneBEIJMqUx7r8mo\nJ8jPTb/qzN+WSiMEOiNRY0NnZQ1n0Mc7en2WyodObAzNKKCkHDzLQwhJECUqTdatMYl6uFaGUdA5\nd79RpUq6eYSu21QWI4bfaPzhxcdPS0U+LxjIiEH7/AeFpwTfdv2k3WwwSHJFLuHsHM1dEg9jjDZY\nOYvwOETlFNI9VWf2se0qUjr4Oz521Ua4kn99MCQlxoyCFuXMyoXHFHHMvb/+91jjMUYptKVorz+i\nvf6IcblKJBSbX+6y8fNjKssPWPvdPPmaufZ8Wa/xPePuIUZVqa6sMY46WNI5l3szDnvnrKO1TswA\n8jVNoA3dKOQPammOdyAnDqmvJMYBR2FIQRpG4RijMkT9gFJpeq0Hl5JOw9JSotZUKknf4UydmTFj\nxoxr8cIY4JWiJmtLlACyFtEwydp7I6cqTWN/ugn1QhDKGpa+fGMzU3bI19YIRhOON5+hb2l3M1PU\njDo3X7ILAZmypn883WV/TlrYQtLRdxXvfjV3G6wZG5wtH9WPmayn0JkP78s/W6zQ2JiQq4SvzUe5\nKfaJSjO4BZUmzirUQGMsi87qOulOm3TzaOrPcxcYY2jFAZ5UL/ozU3aecZioNEpaZJwKkQ4ZBe1z\nOyOTQgl7PEL5E8y6w1w2pPM4sf19lZKysaoBzUbSZnhK1pZsDiMiRLJYfY1Kc5pHc5ecmgEYYwgO\nA5z5RJ2J4zFR1MFx5on6EfEgxllw2ByENCYBk2CbkreMkhdP7oWf/RWZw312/v4f0vzoM0a1eWLH\nxRjoHoV8/W+f4Q8jPv3DB8zdd9/q+hh2WgTHX+IzR+3+A6Rt0Zs0ktmZM4zDLmn75UDSqCOwUwbb\nNeyNIv6TOZdHIkvjaI+PFnLITIZxHDPRGh32sJ08MjAIE5HN3qJCM2PGjBkz3plTY4CzSCGouhZS\nSMaOQY6vt7nsF4ogxNTDNmNRQZoxwowu/JuUkMoKMuUHWG6KxrMnhP5kqs8PL3PzLtucvS7ZUmIu\nEE95+VmSNr7RDG9hXfs23GlB4z7zMUrgr7lgv/8Ws8vwRw5OKgfikj6lKZGXFv1bUGl0ViJP+k21\nbdNefYDXPCLVaU31ee6Cro4wJHNHp6TtPJPwZeWQS9UI40liTxydkUikZFSpkdvfAQnyY5uC79P8\n/mLirhKCimcTFHy6DXnu58YYDicR1GqJe9Ulvb5w9wWNiQ1hO8Su2ETtCOlKlJcUfb6/i+PMAxJ/\ny8dddhFS8P8djZhMdvDswoXwTIDal7+k9vhLvvyjf8RTu0vP76JNEui19eshW79+ysKjHB/9/ipO\n+u02IibDPp3tr4iimPLqD3HSHoPJEY6VwbFe2myevpdnf9ZvSvJVzcE4Zrkg+MdzWba2I6pWk+py\nos4chyFV26Y9aSPtPKI/oVRKv5c5vBkzZsyYcX08KS9tO6unFUYnczRycP1umf78ItnGPmKaSokQ\nRLKGHV++sZnOG/yhpLSwRK5a43DjKZMpt77BiUrTvfmyXVnJsQ7b0/1ulEJQVQ6dOCR4j/M0d1rQ\nRFWLcMn5IOZlLkNr6DQkix9lGbZvr6CxhcQV01dpjCMxSiBOdjO049BZXSfb2Mfpdaf6XLfJSMeM\ndEzlFY9z18oSxhPiE2lTSYusW8WY+II5wKg6h5GK/O4WJi3xPlW4jYDu3sVzLysU2bKmPYzxz2zA\naAN7ozBxtcpmk6LmEjIZmEzubo7mhRmALQkOghezM1E0QOsxtj1H0AgQrsAu2rT9mJ82DsiogIJ3\nMSi09PQx83/zb/j3f/QjHrsBE5XhaWeXv3q6wd9++5xD85zK79WxFksMdMREx0RGX6tfOAp8jjc3\nkPqY3OIPSecLaB3T94/Ozc4AjIPzYZqTk52okRWTtuEP6x5u36Xb2+PRQgGRTqONoRmGZIiI4ohQ\npoh7PsXiLbebzZgxY8aMd+YyhQZgwbMJdWJ4pAfXXytFXgY/m8M7vrqr4iZEsoo0A4S5qL6ks4Zx\nP9kwzZYqVJZXae5sMmgdT3WuxiskCssVe6vXIlfRDFpyql15kKxri8qm+R7nae60oInfEJD0vukf\nC1zPkK8lLmu3UWGfkle3M0ujs/KcK0jspuisrJHf2576sNxtEBpNOw6oWM6FFFohBCk7d0GliU3M\nYHKMPrszIATde6uoICDT2EeXLEoPDNHTiFH34uNWHAdT9Wnuv7zQU5bgSf9kduY15gBC3O0czWm7\nWdRLPuStQnJd+f4OrruECQ1hIyS1nDha/PVRl/5kj2p2FSnOX/KZ3S1K/+Z/5//9g09p1JaZy6xT\n6CxSO/6EYr9Jxv2KlbUieS+HAAKj6emIozhgJ5qwF45pRD7NOKAbh+cKnigMOXz+DB00yVeqZGoP\nAOhNDknbhQsOa+OwR9p+qR4N2xK7EDGJNf9o0eVhKs2TbZ851aZ4MnzfCkNylkXfb+M6BSwjGA0m\nlMu3YNc8Y8aMGTOmylUKTc1NOgHsjCIaRxBff600rM2TbjeRV8y+3gghiWT10lkaZYPtmhcboqlM\njvr6I4adNrvf/JrGxhM6B3uMuh2CyRh9w4rEcsBOGSb9m4sCTgos11xYB02DjLRICUkrvvi6G3MS\nlh6AP0ospIcdQb8p6B4J2vuS5q7kaFNyvHGzcZQPu8K4Q6IABi1JfT25sLLlCoPWMans7SyMHCFx\nhGKoI3JTzKWJswr7OCKqvfxZlPboLt+nsP2c7vL9qfq0TxNtDM04oKBsXHF5rZ2284zDLhk3CUxU\n0qKQrtMcbjIOOi9+DoCUdFbWKG88IXYcJktlqoOQg68k1o/FOQc7R0gqBclhLyDftsmWDTlL8qQX\nYoxB5HJJ5dLrJY5Wr3DadnbbeTTxKMZEBitvMfpu9EKdCcM2YLDtMuPvx9hzNtKVTKKYf7HxmHu5\n+rlWLgC31aT2F/8LP/29HzJ58AcskGGw7QBDpNpgcWGRbO0LOuNdBoNnlLwlXPvluWOMIcYQG0OE\nITIG32hGxhAaTXNvGz8YUCmCP/c5URwiTEzbP2Yh9yh5XU+K1igOiLSPayWPH0fQ74K4F/GfL6VY\n9xw2DzTD8Q4/vFdOnMWAwzBkyXHY7LVIZ1ZQgwDPE9j2LYYCzJgxY8aMqWBJiRICX2vcMw4zBUch\nBLjSYpQOyA81On+9ha52HEaVKtnGHr3l+1M71kjWSEXfEMkAI85/x6RyhnFPksokxYrluNTXH6Hj\nmGA8wh8PGXXbhL5PFPooy8Z2XCzHxXKTv23XRdnOa9ulM0XDsCPeKR8xWzb0jiSZ4tu3lRgDOj75\nE4HW4uX/x2BCl2YYMNCaNBY6TmZ2jDkJUbdAqsRMSFqc/G2wHINUSZBomLthwXeje/0W0jmQZCv6\nRTiSVyzTPTwgCgIs53YWR3llcRz5ZKSFnFIbns5I5LZOdjPUy8cMM1l691YpbD+ns7pOlPZe8yjv\nh1YcYgtJ9pKB9VNSdp72aPfcYjiXqnE8eE5v0jhf0MALg4TSxlO0ZRM8zFH9ZUjzsUPti+TiOaUg\nbXo1n6Nti3QeHEtw7Md0Ak3JVS9VmisKmu3t6bwOryM8StSZeBSjJxqrbCUzRP4uqdQKUTciHsek\n1pNq7V/tbhLEhop3PsrYGg5Y/D//jF98uo7/6R9TNx6tLQupOkTBJsX5pRcBs7XcA0ZBh+ZwC9fO\nUkwvoqSFEAILgSW4kOXc2t0m0+pQyxpqC4v4Vp7IGJrjBrFdpGUgjiYoBJYQ+EGbWGUZmRjLCLpN\n6Nsx/8NaBsuNOfZjDndH/FFqSG7pMwAGUaJwSj3BljYTLFS/T7H44Z3bM2bMmDHjck7tm88WNCUn\n+W9XSJoZKPajaxc0AKPKHJWnj6cbtikUkaxg6UNCde/cP6Vzhub2xY1YqRSpbO7c5rgxhjgMkuIm\n8Il8n0m/Rxj4xFGIZbtYjpO4AjtOUvCc/CydM7T3JXHEjY2rvLyh20jWvcoyCJUUG8aAiSGOxcnf\np4XKy6LFmJMiRJ0UJup8YWKnYMGzaOLj2Ya0oxAnt7/uMnc4uVmxNitoSKSv0BeU772sCqWUeIUS\ng3aTYn3hNfe+OYlKIxmamJyY0lshBbEnkZfsZgTZHP2FexS3Nmjff0DsTjFk5x3p64gIzZx8dWl8\nHiUtbJXCjwYv7H6VtClnVjjsPaGSWb2gRMSOS2f5PsWtDTqr64jPU+R+FtDecKicCXqXQlBL2+wU\nAzoNl8pSclHtj6OkoCmXYXc3CVR0zx9nJpP8OIrgtrIcjU7MADKfZ/B3fJx6spMTBEdI6aJkjuH2\nkNRKCiEEPX/In29tslr66NyOjwhD7v35/8rX9Rz9H/8TKqFHc8fCSjWJJrtUV9ZwvfMOYZ5TJGXl\n6E0aHPQeU0gvkHUrlx5n//iQ7uEBbirNypIhdu5hCYso9hnEfebzn6Ck9ULhiYyhEQ1IOSUmRjOM\nYp42DX/6gxRtOWFOODgNh59MnpP7bBVOUqWPwpCa49Aa7eM6BbQQjLoT7n10+XHNmDFjxowPD09K\nhnFMyX7ZrZK15MuZiIxCH7ylmiAlg7kFsgd7tB98NLVjjWSVVPSYUNZBvDxeJ5Us9oMJb8wvFEIk\nyoxzcb2jtU6KnCAg8icE4zHDbps4CNBxjOW4TAZpDp7aFOddLNvBclOot1x4lJdiJgNBFAqMf+J0\nLZLkAakM0gZXnRYu+oV6Iq9VUwocbSdOtVbqwvjAbXGnBc1QR2Res/v+PjAG2vuSQl1fyNPIlisc\nPf+ewtz8rTkm5ZWdqDRCTU+lOZmjuWw3wy8UETqmuPmM9v2H6FtSn94GX8f04pC65V7rNUif2Def\nzS8ppOc5GnxPZ7THXP7hhftEXobe4jLFrQ1aa4/I/kAS/DKil7PInxEvPKkoliOaz2OyQ4mUsDEI\n+KzoJlsQ1Wqi0rwSoHh2jqZYvPlr8TrCVoiVs8BA3ItJraQwRhME+6TTDwkOApSnsPIW2mj+cusx\nQs2TP/vpagz3/uJ/Y8Md0/iH/z21MEt7x8JJNwj9Q6qr6zip9KXPL6Wi6C3iOSXaox2GfouSt3Su\ngBz1ujR3NlGWxeJKAeHEaJEUR93xAVm3+sIy+lThkSZGxWPm3HUmMfQGkv9pvsjvrxraUcSKybD7\n7DmVTwsvXtxIa7pRxJJj8/WkTTH/kHQk6AY+udyH2VI5Y8aMGTMu4ilF45V5F3Fi3ezHGsezCcIJ\ndqAxzvVHv/1iCa91TKrTYlIsv/kO10HYxLKMrY8I1XmTnXQ2mW9xUjdvB5NS4qTSJ9/D53vYdRwT\nBT5OOqC1F5LK9omC4IVN9KuKjn3SyiYvyUdzPXA9A9zOAH9KKjLGohkH1NTr2+imxZ2aAvR0dGtJ\nqm+LMTDqChrfK2zX4OUvHpftprBcl1G3c8kjTAdHSOwTlWZaxFmFGl7dgzgpVRhVapQ2v0eG7zcM\nKT6Zm6koB+uKuZlXSdl5xsF51zYlLeq5RxwOnhJf4R4X5AsMq3MUN59h8oLSA83km/iFm9YpZdtG\nVgOODgRZS/Jt98wH7amF8yVDjLdt33xqBhA0giQsUwmCoIFSOQhdwqMQdznZ8dnqbvOztqCePa9W\nLPy7/5uD4RbP/+SfUTElOjs2trtLFBwxd//hlcXMWRwrTT3/iIxb5mjwjPZoF62TPuGj508xwNz9\nNTynR6gSJ7MgGuNHA3Ju7cLjjcMkIDXU0PI1f5ov8uM1m6Mo4qHnsf9Vm4XCCLnyUuI/DkOKlsUw\n6OPZHkMjML0JxaKLuOZ5NGPGjBkz3j9XGQMspBWT2OAKydgDOXr72YpTG+d3sgZ7hUjWULoJ5vxa\nI51P3M5uC6kUTtqjtFjEy8+Tr61SX3/EvU+/YOHRpxTrC6SyOYw2jPtdWrvb7H37FXvffkVj4wmt\n3W16Rw1Gve6tZOW8Sl5aCJIYjrvgTr/5LcRUF+43wRgYdgQHTxX9pqBQ11RXrj7Rs+Uag/bxrR5T\nQdn04+kVeyYlQRtEcPXvNa7UGBdLFDefTdev/S0wxnAcB4kzxvV0TCBZUEOySD7zYJTJkxn4+Jt/\nS35nk9Ql1tvjSo0gl6ew9Qxzz6JWi+n+yhCdqVksIakXFH0rQHcljUnitJU8uZPM0Fxi4XybBU08\nijGhQXiCsBliz9loHRKGh7juIv62jzPvIG1Jd9Ll161jfFknZ728xKs//ysGmz/n2//0v6Fi1+lt\n2yh7Bx13mbv/8K1nxbJuhfn8Jxij2W19ydbTXxJHMbXVdbLeBC1zGJG8V73JAblUDXnJ+zwOu9hW\nnsNJzH+3kqeiXUbZCfOOw7ARYu1vU/jRGmcl1OPTdrNxi4xTRBuD35tQLs/CNGfMmDHjNwlbSuSJ\nMcBZFjwb/6SgGXkC0X/7tUrkZQgyWTLHjWkdLkY4xLKApc+vDd2MIfSnH1z5KkIkFs7DzpnsPMvC\nzWTJFMsU6wtUl+8z//Bj7n32O8ytPaIwN4+TTqPjmGG7ydHmM46ef4++xfWfEIKycl5Ecdw2d1rQ\nFJRNLw7fi0d1HEL3SLD/nWLYEZQWNPV1TTr3+mNJ5/LEYUgwvpgQOy0SlWa6xV6cVaj+63ckRrV5\ngkyW4uazqe5eXJeODpEk58XbkoRs9pAntszV776muLfLmlhgf/iUSdojc3yId3Rw4b6D+UW0ZZPf\n20Z8ZFNSIe3H51+CrLTIVmMOmwYdwcH4zCdUvZ60nb1yHnseBEEyRzNtXlg1H0dYxZMMmmAfyyoT\ndyUmNNhzNmEc8rzznCfDGjnLfiHzFp58jfnl/8Ov/vF/STlzn8G2g1TbQJ/a/Qco20YbQ19HHEb+\ntT98lLQoppfQxzGtzjamEJPKpbD0MaFM1Bk/GhJEYzJu9cL9tdGMwh6dKMM/XcpxX6SJ0yEoQ1Uo\njn/6jPoP55MX94RuFKGEwBWGftDHWFkKyqLTGVIqzeyaZ8yYMeM3jcyJMcBZKq7CkMy3ipyF7t/s\ny3WpqiuAAAAgAElEQVQwt0C6NV0b50jOJQXNmXWbEJDKJoHUt41X1Ne2XrYch1QmR7ZcpTi/SG11\nnYVHn2K5KRrPnhAF/q0dpxKCiuXQjgOiWw7dvNOC5tSqeNqBkq/DH0JzR7L/VKFDQXU1Zu6+JpW9\nXlElhCBTKjNo3V7QJiSzNL0pqjQ6I5GDNy9KBwtLRG6K4tbGhQX6bTLUEROjqaibzfAUQkV642vK\nz75DaE37/gNaDz+GRz/BL9fZc4e07z8k1e2S3d+9cP/e0goyDMi0Dkj9wCLVCuhuvvx3IQRznkNU\nCOgeCraHZ1rzMplkcq7XO/eYt5VHY7RJ5mdKFuFRiFN30Nonito41jz+to+74iKEYLO7ycQU2Pdd\niie9xum9LdL/7p/ziz/+zyhWPmW05YDYRsgBtdV1UIpuHLIfTfB1TEYqejqkcfL/b6K1u0U4mLB+\n//eZW3pAt/83dIKAmKRQ7Y73yafrFzJwACZhn1bg8Mfzef5k3uPgUOPnfFZdl+Z/3CBV9sisn3do\nOwoCarZNZ9Ih7+bpa4McRTiOxnXf3DI3Y8aMGTM+LDwpLwRsFh2FPFmzu45iIg1i8vaLYu04jMsV\nsof70zhUAIxIoUUWS59fG6ZzhnHv9gsaJ5UM6L/aMn9dhBCUFpbIliscbjzFH95ekJ4rZDIvfsuh\nm3febF5QFv1bCJQ8i9YwaAsOvle09hRO2rD4UUxpUb/RfeIyssUKo17nVqU5d8oqTZxVSb/pNV7n\n/uI9tFIUtp/fSVETGE0nDqko562MEEQck24eUX7ymPJRh0HKovHwIwYLS+cc2xaKn3LQfUxkKdpr\nD7EmI/I7m+d/NynpLq/h9rq4kxb5LyT6WcTgjILsCkmtLBiHMb/af2Vn51SleYXbaDuL2hEqq4gH\nMdKTqLTC93ex7TrBQYzKK6ysxdHwiCAK+HqQx1XJB5bTblH+v/6Mn//e38db/HuMt10M20g1YO7+\nA0IpOIgmxBjmLJeq5ZKRFvNWiqy0aMYhx5FPeMXOSqexT+dgl1y5RnlphbxbZN4rMdR5Gr1v6Yz2\niHVExrl8IHOz1+LH1Rp/upxjPBbsjAJWyhb2xg7NJtR/b+Xc7QOtGWpN2bZpjppk3SKBMQTd8azd\nbMaMGTN+Q/EuUWiKjkSffG27QjLOmHPB4W/DsFrHGQ6wp7hwD1UdSx/Bme/HVNYwGYo7aXrJFPS5\ntrObkKvUKC0uc7z9nGGnPaUju+R5pIWFpKNvb277zgsaW0jSUtG7BZUmChJf7f3vFOOeoFjXLDyK\nyVXMNa3mLkfZNulcnmGnNb2DvYS8tKan0lgC44rrDdEJQe/eKkJrcnu3G6ZyGp5ZVDbONYe31WRM\nbm+HyndfY4+G9Bfv0Xn0KfHcPSbxxe2JYnoRKSwOe0/QUtJZfYCIYwpbG+f6yoxl0V1dI3PUwHZG\nVB5oRr+OCc6M5pRsm/xczN9+HxLpM+9LqQTjcfLnDLdR0ARHAXbFJjgIcOoOcTwkjgeouELUjHDv\nuUyiCXv9PSx3ma+7IVVXIccj6v/yf+YXn3+MevRHBNtpdLyNZQ+Zu/+AsXhpyFBWDvYr70dGWixY\nLq6QHEY+7TggPnNuDjstmjvPSWXzVFfWkFJi6QbGmqeSe0gxvcR2+++IdIA2F6/35iTCk0P+x0fL\nKCHYOIhwSzGLzSaHWxPyP1rHTZ0veI/CkLJlEemQSTTBqAwFpeh0RpRKs4JmxowZM34TuUyhyVoS\nJRLzIEdIxp6AGxY0SMmgvpAYBEwJI9JokUaZl2tDZYGdMvjDO2g7KyRq0LsWT+lcntr9B3QP9+lO\nUcV6lbKy8Y1meEtdWu/FDigvLYY6Orc4ehfGfcHRpqTxLKla6usxtdXrt5Vdh2ypwqB1u+YArlTT\nV2kG1zzThaCzsoYK/EtbtKZFMw5ICflm+25jcLsdihtPKG0+I7YtWg8/obd8/0VIVsrOMw67F+4q\nhGCp9AXt0TZ7na+IiemurKEti+Lm9+dMEE4zavK7W1i1gHIlpv135sVQnxSCeyWHnhXw5WZ49kkS\nx7NXVJppz9HE4xgTGAwGYQmsnIXv7+A4iwTbIc6Sg1CCjfYGC9kF/nUjIqUEMopY+hd/xpeLFeLf\n+SfEOx5xuIXtDqmtrjNE040japb7WkMGIQQ5ZTNvpRAkak43DhkP+jSePcFyXOYffISyLITxUbpL\nJBMnM4Omml0jn6px0PuW/uTwRbE+jjSjcMR/vVqi4KaJYsM3BwE/dPv4e22apYfML57/eIqNScwA\nbJvWuEUpXaITx2SMYjyeUChcDDydMWPGjBkfPraUCBIV/hQhBBVXEcQGKQRWxiIaxTfuJDm1bnan\nqEREqo4dn5+p9XKJffNto+zEenkaLW5OKk197RGTwYDmzib6FiQmKQQV5dCJQ4JbmKd5LwWNJSTe\nSZ/+TdEx9I8F+08U3UOJVzAsfBRTnNdYtxCt4mayCCGZDG7Rl5fpGifojES9jSuIlHRX1rFHQzK3\nUKV34xANFOXVJgAyDMkcJkP+6fYx43KN448+Y1SbR9vn75cYA/QvVbQK6Tor5R8z8I/ZbP6cIB7T\nX1ohSmcobTw9Z1f9IqNmZxP3gSavE5OA04f1pCJfNfyrZ2POuVxXq9Bun6tehIBsdnoqzakZQNhI\nZmeiqIsxEfTyGGNwqg57/T1sZTMwRZ72fCqOYOkv/jlPvIje7/9XmN0c0WQLxxtRW12nh2ZgYuYs\n5/oqmRAUlU3dcpkEE7767kvGJqa+9uhFOJitD4hkFUQSmtkdH1DyliikF5jLPWQS9mn0vmMU9jn2\nY/6L+ZgHhcQo4Ot9n6oaUWkfspN+xMKyxavW+Y0goKAUKaVojVvk3SLjOCbqTSgUrEsd1GbMmDFj\nxm8Gl9k3V1MWk5PuCMdW+La+kX3zKYP6QjJLM6UFuxYZtHBQ5mWRlMrdrn3zWbyCYdSZznMp26Z2\n/wHGGI6ef098Cw5HjpAUlU3zFuZp3ltgQ17ajHT81q4HwQRau5K97xTBRFBeipl/EJMpmgvBmNMm\nW6neukrjCIkrFf0pSHLak4jQQHj9k8YoRWd1HbfbxTu+OCNyUyY6ZqgjqlcELNnDAfnt55SfPkZG\nMe3VdTr3H+IXikmVcAlK2ljKxY8u74nNuGXuV38PgI3jnzL02wzmF5kUipSeP0WdcfYI8gWGtTqF\nved4n4N9GNLfeflYq1mHp2rI99tnzlfbToIej8+fE9NqOzPaELUiREpgIoMqnMzOqEWCvYDUSoq+\n36c5brJaWOXPdwdkLMn8f/gLtsZ7HP7D/xZ1UCYcb+Fmx1SX12gT4xvNnHKvnftzFqkN4fNNMlFM\n9v467ZTNWMcIM0bqAZGcA2AYtFDSehF+aqsUtdwDcqk5vj1+xqeZJlW7TzFVZBTHPNsa8UWwR6f6\nkFC6VF8xRIu05igMWXBdxuGYWMdEMkXesuh2hrN2sxkzZsz4DcdT6kLb2XzKwo+TNYwrFSNPIF+T\ns/cmwkyWMO3hNae3volkHUu/fDzbBSE5175+W6TzBn8siKc0miKlpLp8n1Q2y+HGk1vJq8lIi5SQ\ntOLpuc7BeyxolBBkpXWtwJ0XIZgbkuNNhXIMCw9jKvc0rvfGu08Nr1DCHw2Jpmj9dxkFaTGYRkue\nEOisQg3froXNWBad1XXSreNLs1zelsjoF7Ma6mxxojXp1jHlp9+S29sh9DI0P/qM/uI94msEPMJL\nleYqXCvDauXHZNwKz5s/ozXcYVSrM6zOUdp4inXGjntcriYZNa1NCp8bgscRo5NNl4KtIG34dXN0\nvliZm4Ojo3Nycy43HaezqB0hPUncjk/UmRZCKHQjjVWyIAXPO89ZLazybKDZHASsffVTWju/ZOtP\n/hmyOY8/2CKVG1NZWadJjDGG2qvvwzUxxnC8+YxRt83i2kNWK/MUpU1Hh/SCTUayCkL+/+y9WZBk\n2Xnf9zvnrrnvta/dVT0zPQNgABBDEAABcZdsijQtRUiypQeJYYUXPthyBOUX26+2Ixx6UYTtkBcp\nFKGFoc2UuEimSQIEQACDZTBb90xvte9ZuW93OccPN7u6uru6u7oqq6dmfH8RHV1ZlXky62Zm5fnf\n7/v+f5RWNHu75BKTj63R1Vk+P/EpvlSxuXN4h47X4YPdJsWNPQqvzbNxmGRm5nENuzsM0nSkpNqr\nUkwUqQfB0K65S7EY2zXHxMTEfJw5uUJjHO2FbASD88zRDGmPT5GsHozMxlnJDGBgqAch7IkXVKWR\nEpJZfWoL59OSG5skUx67MAe0vLQI0bRGpcT4CAUNRK4HfRU+sZfueHZMuybIFKO2slxFc4boknMj\npSSZK9AewSb/aYyiJe8+YVpinHaO5hjKtqkvXCW9t4PTqD/7Bk9aZxiemTUsnGFLkDHok97epPzh\n+9jtFq3JKQ6XX6ZXqqAf7TN6BgkrS89vPvU6hrSYzr/GeHaZrfp77DRu0s3laU1Mk1+9+5DryVFG\njbdF8Yqm/VZI4A3tuw2DQc7jnRX/gX5JJqOwzfqxP2SJ0czR+Ac+RiZyNzOLRpQ7E0wSNAKcKYe1\nxho5N0fayfJvNtrMrd7Ef/sPuP3VX8VszuG31knl+xTnrnCgfaxh/+rzOMsdp7a1QW13i9LsPLlK\nlDGTkAZTwiclfHbCDNXQo9HfwzJcHPPhqkk/VGit+Y+uFim4GT49/mk+ONzi5rd+wPS1LAd+DteN\ncksfOg5Kse95TA6DP2u9Gjm3QDsMMfoa0/Rx3Rd4ZiMmJiYmZuQkDYPOIxWarGVgEH1mCSEwUwZB\nL4Dw7Cd8L8LG2ZdjD1VpEhlFr/Vittip/Pndzk4iXShRmpm/EAc0MdyPNFVwqniI0/CRChopxNDZ\n6+GN+6ADB+uPZ8ckc/pJ3UcvjHSxRKdWHVlezJM4a0veo5w2j+YkQtuhNn+FzPYGduvpouFJ1JSP\nJSQZYWA3G+RXblO4dxstJYdXrtGYW8RPnf3sum0m0TrED59eFhVCUE4vMF/6PIfdDdYO36KTTtCY\nnSe3voLdfGAu0JyeQwY+2eQe+YKi9pZCKUiYEs/QVI0B27vHnv+xsYfMAUYxRxP2Q9RAofoqCswM\n9pEyib9p4Mw41LwaXb/LTHaGG/UB7bv3yH/nX3Hjy7+I9F5hUNsgVeiTm13gQPskhEHhCe1+p6FV\n3edg7R65sUmKU7MP/czWO1jmNBNWAqkVK51NcMoPVRi11uz3Q35tPkvJMaj36xTdMqmqoOzOs587\n4K27G0xOPf5a3fE8SpaFLSWtQQtDGnjCIm0YNGotcrnEmX+vmJiYmJjLgT2cG/CPiZqsJTm+23JM\nk57LueZo4IGNs9k9Y5DLIyiZAzRSRR/8djI6KR9cbEMPAE4qGgm6iBY3N5154IB2QlD5eTCFpGjY\nVB9xUD0rH6mggaiXztOaXqii7JjbUXaMkzxfdsxFYTkutpuge46qxWkwhCAjTernNAjQtkQbAtE7\n25s/dBPU5xbJbq49t397WwUEvs909ZDSrRukDvbo5UscvPQqnfFJlD0a9wbXytJ/RpXmPhm3zNXK\nT+GHPe4efJeWTfT7bW/g3rflHmbU2O0WuckaiUFI40NNzpLcbYYsTRm8vT3gqFqdz0clme6D9rXz\nztH4Bz5G1iCoB5hlge/vIpsVhCHQOc16Y53FwiK+Evzu26vM/8k/4p2f+BLC/AKDww0yZY/M7AJV\n5ZORJrlzlDR7rSY7tz8gmSswtnD1IfEQ/fEOCUUBKQTSrzPtljANl52gT2v4+t3rh7yWd/h80cUL\nPQZ+n8O1HZwwy8LLy4zL66QyAXdb71PrPTgT5ClF1feZsO1IFHX3KSVK1IOAvGlSq3UpFNJnP9Ax\nMTExMZeGpJR0jrWdPSZohKSb4sx5NEcMbZwzO1vnW+cYgRzDUtGmXwhIFxXN/RdXpek2Lua+7jug\n9ZpNDjfXR3pCPyENUtKkGnrnXvcjFzTKF+h9m9s3I+u5/MRosmMuklTx4s0BANJDa+OtoM9uMKBx\nRqs7lZbnevMHydRRJeO0oibstAi21li+dxfL92nMLlC7sswgX3jikP9ZcU/RdnYcx0xxpfKTuFaW\n2/vf5lC0qS1cJbW3c2SEcJRRU9+nsNSGjYD+LvhKYxsSMx/w4drwmJ5g4XweQaOVJqgGoMAqWvjh\nHpIcwa7EmXW4V7vHeHqcpJXkW6tV8r/397l5/VWCzJ+hv79BtuyRmpnjUPkUDPvodXQWvH6PrQ/f\nw3JdJpZeQj7SEmipbQI5AUIQqoD24IBiYpKCYTNmOgy0YmXQw9OKX5vLIoSg0W8gd5oEUiKTc2Qy\n0Kyb/ORLCywWFtlqbXGreotBMGDb8yhbFj2/zfv77xOqkEKiSDMISGmDbrdLPh/bNcfExMR8EnjU\nGMA1BI4hjnLgbCHxkwLdPr9xUj9fjCIiRtROFYo8ggCpon1SuhjN0byIKk0yF83RXFTzkGFZjC0u\nEQY+B6t3Rxo0n5UmAk41U/80PjJBczw7JikN8os+mVl/pNkxF0UikyUMfLxjA+UXgRSCsukwZbrk\npIkiCkLc9HtUQ+/UWT5hxjjTHM1x/FSG5kwkatwnBYwqhVurkr3zAYOddfJOktbyK7SmZwkSFzfj\n4FoZvKCHeo4+TENazBY+w1h6iZXDH7Az2OJw/ipu7ZDUMHgrtB3qc4vkGpuUlnr03gnx23C35fP6\nlMPtVp9mc3j8y+Vojmbo65xIRF/6ZxiDCuoBwhGErRCzAkFQRe8VscoW++E+QgjGU+NUOwNu//3/\nhbWZcfoT/x7+3ia5sQB3ZpaGDiibDolznBUIfZ/tWzfQSjO5/ArmIxW1+wOQocwD0OrvkbTymMbQ\nxnlYTlaBwU9PuWz5fVpBQO3uDVrKZnz6Kp4vabVgYgJME9J2muuV62ScDD/ae48P6+t02uusNdaY\nzk6zXFqmp0XUa93qk05LTPMjGKiLiYmJiRk5jxoDCCEoOgaDY8HWVtLE89VzObg+ifbE1OhsnIUY\nztLsAlHI5ouq0lgOGJam37649mspJeW5RUzbYe/e7ZEZZAkhKBo2XRXSO8c8zQsVNE/KjilMaEpu\n5Jb0cUAIQapQpH14seYA95FC4MpoBmLSdBkfprd3Vch20Gd3GHY40OrEkp1KSmRPnWuIDsBLZ6gt\nLpHa3z3a9ANRGOfOVjTk36yzWi7jLSxDZQJtnr06cFqkkDhmin7wfCURIQRj2assFH+C3daHrHZu\ncDC/gN1pk9lcB60JEkma03MUB+uUZwbId+H7u31KtsnslOBHq0ODANOEQuHIwlmIs1dp/AMfIQRG\nxsBnGzEooDuSoByw295lIb8AWvOt//3vcS8paV75D/G3tsmNB9gzM3RQVIavkbOilGL37i36nRZT\nL72Kk3zEFllrTLWDLyMnsyD06HiHZBPjD11trx/yxVKKX5nIM2HbrK2t8oPdPUpLL9NrWNg2DAbR\nGNJ9hBBMpCdIphcpSU3OzXC9cp28Gwmn2tDxrFrtkM/Hds0xMTExnxRSJ1g3jzvGkXUzRPbNvSTP\n7eB6EqO2cQ5FEakHCB2d8H6RVZpUfvRuZ48ihKAwNUMqX2Dv3q2Rndg3hKBk2hyG3plnx1+ooHla\ndkxyeCa5OyK3g4smnS/RbdZHWnY7LaaQpKVJxXSYNl1y0kIDtdBjK+g/Xr2RgjApz+Xdfp/QcTlc\nXMbqtsmt3iW3epfC3VsA1K4sszYzR5BKkztHm9NZSNg5ut7Z5pqyiTGWxr5M16tzu/Yme9OTGP6A\n3PoKKIWXydKpjFM2V6mkfNZ/EHA4ULxWcWkaHus7w+P6iIXzWeybw35I2A0JByFGJSAImujtPPaM\nzUpjhdncLLZhc/Nf/AverG/TuP4XCXYOyE0EmDPT9IkyZqxziBmAg7V7NA92mVq+TjKbe+znhj5E\nYw7tKqHZ3yVllzCOhab2Q4Uh4Jdn0tEfwXab7N4GevEqHWHw9uaAVledaNNc9X1sw+ZzY9eYSE8g\nh7+P1ppGGJI3Ter1DqVSPD8TExMT80nBltHMzHFjgErCekjQuELSSzCSPQ1AZ3wysnE+S0vFowhB\nYFSwwhdfpUlkI/H0IrbRmfIY+ckZ9lfv0jujadSjOEKSNc5e3HihguZZ2TF5adFQ/oU7iI0Cw7JI\nZLJ0LtjC+VmIYfUmb1hMHKve9IbVm52gTz306SVBtkaT+qpNk/rCEkEiwSCX5+DaddoTU7RMk64K\nKZ7DTeusJKwcfb/1XG1nx3GtDMtjX8Y2EnxY/TYbE0W0EOTX7iLCkF6xTD9XYLKwjtP0+dM3ezhS\n8qlZix9v9yODgEQCXBdqUT/uWZzO/AMfYQoM1yAwdhCNEtI12ZE7JK0kxUSR5je/zr9++3tsvvoX\nCPda5CZD5Mw0ATBmOGfKmDlOfXeL6voqlYUlMqXK41fQCivcJTCi6owf9un5DbLu2ENXO+grfnkm\nQ842oN1Gra7y3lieL1ammAvShJ5gix7dxOCh1slQazYHA2bdx91A2mGILQRBXwMDkslY0MTExMR8\nkkhK+VCVpuwYDxkDmEISZCRqRHua0HboFUqkRmTjHIgSUncQOnJffVFVGsMEN6XpNl/M/iuZzVGe\nW6S2tT6yufKMNM+8h3mhguZZRkuuNJAIuvpjUqUplC48k+Z5uV+9KQ+rN4XhGfNqMqTa6HEQeCML\n7eyMTUZDdVLia0Ut9CibZwttPC9RKn2arn929zlDWsyXPk8pPc/dg+9wLy8IbZf8yh1EENAZnyRM\nOixMb/HOW132t0Lm0zbpgub9teEZhWMWzslklEVz2pM+WkdmADrQyHKfcNBDH+QYVAY0+g3mcnN4\n773N7/7R7/L28i9j1RSFKQ3TU0gpqZwjYwYgDAL21+6xc+sDitOzFKdmTryeqaso4aJE1O7V6O2Q\ncSrIY/M6h4OQ6aTJF8oJ6PXgzh02p6cIzIC5dIn9XUEem69dS+ApxXudDvte5HKyNRiQM01SJ2QS\n1YKAgmlyeNgin3cR56xExcTExMRcLpKG8dAcTdaSPPrJZjsmHgoxGE2Vplsew2m3HgrbPjNCEsjK\nUS7Ni6zSJF9A29lxnGSKscUlWtUD6iNyjMuJs83FXrrdQF6aNMLgXFbFLwonlUYISb99Dn/eC0QI\ngTOs3oylk1SkQ9KHvlLsHKve9FV4rqrY/fDMnGFhf4QbzKRdpDN4gmHBKRFCMJF9ifnSZ9lsvMfN\nRJ1+Ok3h3m2k59Gcjly5yK7z/jf79DrwuWmHu+0BtYaGXC5SMZ3I2/55qjRBPUCHGmlLQmcXDsrI\nsmS9H1k0s7nJ13/7H/F7U1/D6iQozGj0zCSuNCidsyrWbdTZeP/H1Lc3KUzPUnnEnvkIHWKGe/jD\n6owXdPGCDmn3QSUn1JpOoPgL81kM34fbt+lNT7MqQxYSKULfZGMDZmYgn5YsJBIsJRLUg4Afttus\n9PtMP2JAoLVmo9+nEQQULYtarUOxGM/PxMTExHzSeLRCk7Ue31c4QkZzNOc0PLqPNgzaYxOkdzZH\nsl4gyxiqiR2sYKp9soU2vebF59IkMhq//2Jmdu5j2g5ji0t4/S4Ha/dQ5zRYOOuJ2Rc76HAKHGlg\nqYCODsmIS/fwHiNdiiyc3fTZwyFfFDpjkO1KkiUTrTUemr4KaSgfX2tcIXGlgSsk5nMIk8PQxxlW\nhj5KElaWWnedIBwcOW2dlVxikuXxFPcOvsc7Zovr2TkKK7epz1+hPbeI3bqBtvd4/08m+ewvuixN\nGfxgZcDPfdpF3LdwXlw8MgYoFp99n/6Bjw40otQmaIfIQZatwhYlu0Sy4/HmP/17/E75c/R7Jeav\ngJqaJCtNMufImPH6PRo7W9R2trBcl8lrr5AulJ54fVPto2QaLRIANHrbZN3xoxkXgN1eyJfHksy6\nEj74AF2psJpIkOo1qSQKbG1FY0YzxwpAScNgOZnkh0P1d6ffZ8ZxSBkGnlLc7fUwheCVZBKJpNns\n8PLLT36cMTExMTEfT5KGwcZgcHQ5axsoohNb90+0ucLgIAmFdgCl0ew9+vkiicMqTqPOIJc/32LC\nYGBeQ+o2UndxRY1KLmSwaZCZ6aMRcFR3Ova1EMOfPfL9YzWqJ94WAUJQzEqCOiSOPiIfvs799UOZ\nQ4vRONAapkll/iqHm2vsr9yhPLeI8QJMoY5zKRVDzrA4CAakhHGuFpoXQTJXoLG7TeB5j9naXjZU\n2sCoR29+IQQOAseQ5LAItaavQ/pa0Qh9pBAkRCRubCGf+Dy0Qp8AxZg8n4AYBUIIklaejlcjl5g4\n93oJK8u1sa+ydvhD3grf55X8NSord6jPLtBeWmJ99TZf8JJ88F3B9S86rFW73N0KuTpRhnfeAd8n\nk7GOx9M8ETVQ+FUf4QrCxA56dZx2uU2gA6asIu/+g7/DH+eWudedY3lZoqcnKJgWqTOKyF6rSWNv\nm3b1AK01hclpilOzGNZTxJEOMNUBA3MZgL7fIlAeKeeBsOgFCtcQ/MJECu7cgUyG/WIR4fsYYZuc\nM80PbsArr8Cjd3Xo+7hS8noqRS0MudvrkZCSjlJM2Dbjw/fX4WGPZFJjWZcocTcmJiYmZiQ4UhJq\nTaAUppTYUpAyJb4Ge7gVMYSAtIHaC0FpkCPYKwpBe2KS7OY6g0yWI9eqM6KFTSiKhERnNM1xzcEt\nieUH2AkAPfwXyQyOJoUe/lrc/1of/z4nXweNndPUtg1S5eCR9Y+voXCCu3jGHEqOJstNCEFpZp7G\n3jZ7925RnlvEcl7c5/SlFDS2kDjSoKWCcyWcvwiklCRzBdq1KvnxyY/64TyVMCWxN9WJb35DCFLC\nJAVggKcVPRXSUAG+VjjD6o2JQBK9cAOtaamAMdO5NMIz6RQ47KyNRNAAmIbNQvkNduo3ebvzDtcK\n15hdu4eYnuPm+Bw/r9bYWjPZLuX4/JzDdz7oM1NO4pRKsL9PYmqKMATPg6fpXf/ARyuNUWkSHE1P\nuucAACAASURBVFrguOyKVV7KXOXOP/zf+K5V5JvtJRaXJGJ6grLp4D5nxoxSim79kNr2Jr1WEyEl\n+YkpMqUyburZFUZL7RHKPFpE4rXR2yHrjj/UmlYdhPylxRzpjVUwTbypKbZ7PaZNxZ40qe45BAHM\nzz/y2LRmYzDgiusipaQkJQXTpOr7TBrGQ/M0h4ftuN0sJiYm5hPM/YDN7FBUlB2DmhdiH9u72JZB\nz1UkWoowN5okdj+VIXATJKv7dCvjz77BcyANQXYMGnsWlYWH27Ke1vR/9LNTbrOMFPjaoNsPn2jC\nBaBEBjtcxWeCUI6u4yE3NnmUVVOanT/V/mIUXLoZmvvkpDma4fUXQLpYolOrXn53NlOgXIHsPru/\n0RaSnGExbjpMmi4paeJrRVsF1FXAYejRUD5Fw36u9rSLxjGjje4g6IxsTSkkU4XrzBU/y4feB3yQ\nD8hurOL4Pm/mJ3h1ZoPNH3RwO5JKSfDjVR8qlcjCWSnS6afbN2utGewMEIYmdPYRtTJb6S2mMlPs\n/st/ynf6ij/0P8XYooE7N8mY5T6XmAl9n9rOFvd+9F22PniP0PcYv7LE4utfoDK3eLo/NtrHUIf4\nMvoD3/OaaK1I2oWjqzS8kHHX5PXOQeSEsLDA2mDAmGXR95rk3TzvvhtVZx498bXteWQMg/SxErUU\ngoptP2YOUKt1KRRid7OYmJiYTyqPBmxWXPMh62YARxh0swKjMRq3s/u0J6ZIVvdHY+P8CKmCJvDF\nhQZgAiTzim796XszJdMMzKtYag8zHI3D231S+SKl2Xmq66t06rWRrv0kLs9O9BFMIUkOqzSXHctx\nsd0E3cbZHbZeFGHaeO4hOkMIktKgaNhUTIdx02HCdJk0n29j/aJI2gW6g9G/gQrJaa6NfY3tcIcf\nZ+vMVTd5Z6+JWppkubTOB3/c5dWiw3rX46BvQyoFh4fPDNgMGgFhK0RM1FD7SeqZHrZro77xLb6z\ns8sPzM+jJyXlK9OMW+6pjRe8Xpf9tbvcfvPb7N75kEQ6y/Qrn2b+Mz8xPINy+hZJS+0SyiIM3Uca\nvW2yiYmj6ozWmqav+TW3i9luwdIStTDE05oJ26ber9Ov5+l24erVh9fuhyEHvs+M8+y2xX5fEQRd\nMpnLP7MWExMTE3M2ko8EbE64Bp56WNC4QtJOg2yH5w4OP84DG+edka15HyEgN6ao717s9juVi+yb\nn3WeXQuXvrGEoVtY4TrPvMFz4KYyVBau0tjbprE/+mP5KJdW0ABkpUVHBWdODX2RpIrlkflwXyQq\nbURv/k8wKbtI169fSMUsYWd5aeJn6JmCN9NbGLvrfHjQovSpIpNyk5VvDrg+bfHm6gBVjiycs1lo\nPiV3ytv2UHgEoorXT1NP18ndWOXrb7/Fu+mfZKNiMXdtjnHTPVU1rNdqsnnzXe58/0853FijNDPH\n4me/wNRLr5LKF57bDU3oAYaq48soZ6YzqCGEJGk/CNysDkI+pTpc6dZhaYlACNYHA+Zdl0E4IAw1\n9z5M8vLLj1dn1gcDJmwb6xT9yoeHHfJ5GyEun5COiYmJiRkNSSnpHKvQFJzH/+ZLITBMySAtMZqj\n3ddENs7N0dg4P0IyF+1NLtJe2bTBcqP8m2ciLAbGVYQeYIerIxU1tptgfHGZXrNJdXPtQjuZLrWg\nMYQgJU2aH4MqTSKTJQx8vAt48Y8SlRAIX4N/ydvjzoFp2JjSodnfJTxj4uzTsAyHq2NfIpmZ4t3s\nBt+4cQMdBMx93sHa24Y7GuyQW+0kaI3rtxAiimN5FOUpBpsDxPghqpphN3dIZavJN77+x9zJ/wQ3\niikWl+eZMJ8emKmUolXd5+4Pv8fdH3yHfqfN1EuvsvTGVyjPLeIkzz5zYqkdAlkGEbnjNfs7D80o\nKa3RrTZ/Th0ilpfBttn0PArDLJlar4bXKOJ5sLDw8Np138fTmrGnmREc4/CwTaEQz8/ExMTEfJJx\nDePIGAAgaxknblhtIYdtZ6MVNKO2cX6U/ERIY0+OUjs8RjKn6dZPKZqEgWdcATR2eBdGWEgwLIux\nxSVUELC/egcVXsxJ9UstaACy0qSnQvxLXqURQkRBm4eXK2jzMYSI3M46n+wqTT45hR/22G7cZLtx\nk1p3k67XQKnR/N5SSGYKn2Zx/HX+X3uL7628h9Calz/r0357jzlt8s5en142snDO5aB+Qkeit+eh\nwj5KNzgUkOw3+f7v/1tWsq/xbqXC/JUZpqwnmy6Evk91c41b3/kGa+/8CNt1WfzcT3Llcz9Jbmzi\n3LaJQveQqk0go5yZzqCKKW1c60HLV63e5qvtbcZefQkSCVpBQDMImBq2kO236tS280xPQyLxYG2l\nNeuDAbOOc6qqUa+naLValEq5Z143JiYmJubjTeJY21nWkicOzjtC0k2B7KmRn6jt54vIUOFcwDiB\nmwLT0nRqF1elSWY1/Y4gPG1NQEg8YwEtLJzwDoww5F5KOXQ9S7B79xaBN/qgnEsvaKQQZIZhm5ed\nVL5It1m/MPU5KsK0xGhdboF4XhwzRTm9yHT+NUqpOQxh0hkcsNV4j93mLerdbfp+C3VOoVxOL3Jl\n/Kv8c1XlR7tvIW3NKy83aH7rkKIl+H47A+02+aRHo/HwbbXW9O70UPk9Ok2XnrnLh7/9/3ArcYWb\nc4uU5meYcxMnbva9XpftWze48c0/ZO/uLYrTc1z7qa8yc/3TJLO5c4VsHscKtwmMMRAGSiua/V1y\niQdufuFgQHF9hTc+9zJkMiitWe33mXWiipIXemxuahJmkqmph9fe8TxShkH2lKJrY6PK+LiDZSWe\nfeWYmJiYmI81x40BMkNB82jLki0kntCEWQNzxOYACEFrcor03jacMyzyJHLjiua+vIilAZBGFLTZ\naz7HfkAIfGMOJZI44W3Qo+tyEUJQmJwmXSyxd+/WyDuaLr2gAUhLE0+HeJe8SmNYFolMlk7tcldp\nVEoiO+FI+yQvK0IIbDNJNjFOJXOV6fynyCUmECKyHd6qv8te6zaN3g6DoHOm/s6ZTBmV/Glu5Vy+\nsf99rKzH1bE97B912OoE7BgF0t09+v3I/Os+QT3AazTxaXFgdtn+vT/iPVVk5dqncCanuZJ4fEi+\nXa+x8uPvc/Pbf0yndsjsq5/hpS/9GSrzV0bu9y5VG6n7BCKyc2z397HNFLYZ+UCKIIAPb/Hpl+fI\nT5SBSKQkDYP8sIVs+7BB0MmRTAoKDwzRGCjF/imNAAA8L2R//5Dp6dHaaMbExMTEXE5Sxyo0phTk\nrMeNASwEodb4OTnytjMY2jg7Lsnq/sjXthPgpDSt6gVWaXKazmnbzo7hG9OEIocb3kbowbNv8Bxk\nShXykzPsr96l22w8+wanZCSCRgjxZ4UQN4UQHwoh/vYo1jyOFIKMYdEIRz8PMWrShRLtSy5otC3R\nhkD2PvmC5lGEELhWhlxikvHsMlO5V8k4Y2itqHU22Ky/y37rLq3+Hl5wwtDLCZhSkLAS7Ms3cBaW\n+YPGW9iVGpPhBpk7Pb7XzaIPquSS/kNVmt69HoG5w6EHO9/8A37csVj9zJdgbIql1IM2LKUU9Z0t\nPvjTr3Pn+99GGibLb3yFpTe+TG5sAmlczIC8qXbwjXEQEqVCWoP9B7MzSpFavYeXyfKF61GoTC8M\n2fd9Zo+JlA/udihnMpTLcPxhbgwGjFsW9imDyzY3DyiXkzgvMKQrJiYmJuaj41Hr5pJrPGbdLITA\nEpJ+AkSgEYPRn/i+SBvn3JiiXZWnbwt7Tty0JvQF/hk0SWBMEMgyTnAHoU+3HzotyWyO8twi9e0N\nWiMSi+cWNEIICfxd4JeAV4G/IoR4+bzrPkpaGPhaMxjRDMRF4aTSCGnQbz/Fp/cSoDJGVKX5hKLC\nkMAbPLPiIqVBws6ST04xkXuJydwrpJwifjig2llhs/4uB+0V2oMqQfjkvwglR3KvHSDdT7P82k/z\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klKRHcE+spk1RIkcWTinlToq4v8/W6+eUanWml5aRZ3j1yrGD3bwX0fQCDJaN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\nbw87yu5uLpSOZsZ0soyRMej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bNbQnXKUZ9WHzlaS7I2ksGGZXDcEtRVWchhM0J1CSHjNe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\nPYdFld22u9tV5XZVuezfR7LUXbeq+nS3y66f/+f8/6xaTMt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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def plot_gp_posterior(mu_y_post, cov_y_post, x_train, y_train, x_test, n_samples=0, ylim=(-3, 10)):\n", " plt.figure(figsize=(14, 9))\n", " plt.ylim(*ylim)\n", " plt.xlim(-10, 10)\n", " plt.title('Posterior Distribution over Function Evaluations')\n", "\n", " # Extract the variances, i.e. the diagonal, of our covariance matrix\n", " var_y_post = np.diag(cov_y_post)\n", "\n", " # Plot the error bars. To do this, we fill the space between `(mu_y_post - var_y_post, mu_y_post + var_y_post)` for each `x`\n", " plt.fill_between(x_test, mu_y_post - var_y_post, mu_y_post + var_y_post, color='#23AEDB', alpha=.5) # plot error bars\n", "\n", " # Scatter-plot our original 6 `(x, y)` tuples\n", " plt.plot(x_train, y_train, 'ro', markersize=10) # plot ground-truth `(x, y)` tuples\n", "\n", " # Optionally plot actual function evaluations from this posterior\n", " if n_samples > 0:\n", " for _ in range(n_samples):\n", " y_pred = np.random.multivariate_normal(mu_y_post, cov_y_post)\n", " plt.plot(x_test, y_pred, alpha=.2)\n", "\n", "\n", "plot_gp_posterior(mu_y_post, cov_y_post, x_train, y_train, x_test, n_samples=25)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The posterior distribution is nothing more than a distribution over function evaluations (25 of which are shown above) *most consistent with our model and observed data tuples.* As such, and to give further intuition, a crude way of computing this distribution might be continuously *drawing samples from our prior over function evaluations, and keeping only the ones that pass through, i.e. are \"most consistent with,\" all of the red points above.*\n", "\n", "Finally, we stated before that **the features we choose (i.e. our `phi_func`) give a \"language\" with which we can express the relationship between $x$ and $y$.** Here, we've chosen a language with 20 words. What if we chose a different 20?" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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BjYiIiIiIHFsKaERERERE5NhSQCMiIiIiIseWAhoRERERETm2FNCIiIiIiMixpYBGRERE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cpFECOE5Hll93OsfKY0kev7ILQgtAl7Tgvqs8CFQI4ZKRIKgSnGnQMBKIsSsriyHZp21SBJTEYO\nLxRCoWtJlpJoA90milbec5wsfOAJk4iTu9y+tkOWmddHUFOEMHRobIgIJM63CFFhvOWFz7z00XWz\neo7VApUsDw/XZ3Y6e5xBszpZ4/0KJzWT6RPCufvyXbTryAyKDh8FLo5HaN6+tyJLwfa1m2h9jel+\n4sP7nnbdE86RqXNWDGG5CYTElHL8ubiyRomEX17deddPw3NCcwacHC6ROVOMvME8DuHTCFLy9O7y\nX64QA+G0ZSVrurolqRv80A++TBkTq9MP6S64bz8mNC4GMgrnHWSJ8T03PrZITioDpkaEBW2TkEme\naZF8bAO5PFkTU0uvJWX5RDe9c/0WUQZ0G/FEUgr0YUggHkVv/3A9DO7OdqmnW1zbNURbcOJ6fDuO\ndO87wQdHbyNSZIRR6JF1udqUSJFI/Wa6ht8NZBJSj0sEAXRZYwQomXF9xG+A0NjQ4VaBLBOr9ZIf\n/+KPIUXkr/3DBh8S1l6sUhECZJkIUUD0dDEgQ6aaPzmYCKGZlhXRgPaZFIcB/7PMxnWhQ2VFbDxe\nJerCPEVoqq0tigCOADYQ0jDUfNGv2DnwKfCbX5EkFdi78wpHJwsEQ8fV2ssvUrgQCE4ACSkixciH\nchgyKxCZ5oqGazadRZKYTi9h3rVQw7ypTxuZdw3ectqviZ0iTjOz2ZyXbt1GCPjWwzUXHc0bZKQZ\nFyIkgc8B6RQ5O67fffGj66azCUmXyLzg5KAZgrDPoKaw0VLIgubUktyCoGpmkyeSwJ0X7yCTQ3hB\nkp4YB8OWMQiN93Dv6BCRI9PP3EKW13hhL3BPTOgXa/w5DA7OipjCoNqQCl1Ixu/Q1Mic8Rc9vH0f\n4zmhOQMWyxYlEtPpuG1skOhKY7IAAs550iW7z8TsCauO43KPrBzXt7bY399G54hfP2S1utjnxzgQ\nGhsiIAjBIQOA5/bLdz+6bj4riLrGpBXNCkQSZ+vQPKr6dIueYE+JqmTyMZnBdL6NLDPTpsXHgEwR\nm8axeO17OFw3ZJWpdna4ub9DlQX9fIt129KvL5/QxOBxNg5Vn8n4ulwpNUpA2oDU5ruFnBL6EgiN\nKip0zigpCH4zgbnWrmldJCLZLff4Iz/zh5hax1ff+0csTira/mL/hqFDE4lRIH2gyw4TYPIxow8h\nBPWkJEuBsImTtsUo88zvdUhhGIT2gdSCUzApiqeyWGZ7u2ifiSZgVz0oSebi77S1mdMTwduHb2B8\nYP9f/iLb9T4IQ0oZ22+A0MRIcBlkBgH6EiRns9lQ9Flf0VTxvvMIYDoZ+7uT6FKDUCQfsBuQnNm2\noW87VtWckBN39re4+5m7kDOHzSHNBR/JxzJSnyQyRVxy6NYRVOTOzdsfXTerDFFPkf6EpvFooc+0\nV/ehR2aJbzPOnWDlhK2PudDt37hDloFJH/HBkbLExoxS+cLv9XoNR+sHmBC59dJdprOKG5Wgnexi\n1y1xA8TUOjdEBKApSj16h6aop0iR8Bdc47+f8ZzQnAHLRYPImWrk9GEhJMoolJDI7Ik+XnpmRQiO\nldekMrJeG27t12zPanTKqL7jZHWxhfpxh8b6CFlgg0U3gag9N248WSQnkwLMFpol3VKQYjpz1ccI\nM2QCNCfYT1R9hBCYecVs0RBEJPmIHalDs1rBuh8cRcrrN3n59pyun7C1JzntE3YDhMZHj3UBIeSl\nVH2EkEgBeUNJ95tGzpmcBfoSZD3alGiZESLjXMJvwOXM9i0uBXLW3NiZML2+z9Qn4r1vsIqC1l5s\n4w4BkohkIaFxOBXQLjPfnj913aSoiFohrOdwvabW9TMffh53XZu+IbpI0FBV5dOE5toW2gswmXZh\nSUKQuLiMtO0DTRS89dY/Ydp6Pv+jP8yN/RJEgRfQry8+X/hpCDES3NB1LUTCjByWC7Czs4UA1htQ\nA3w3YK1Fisy8HH/etSglUmmyj7QbMPBxzYpVHwhzw7LRfOH2Prdeuo2OkWVzynJ58a6rUoNyQeWI\nzZG07KGEyeyJgU9dlyQzRfkVy3VEZXVmyRkRQgs5LMnFhK3ZE8I529oh1Zmt1uNyIMWAj+Ps1YtV\n4PT4kDJGXrhznWt7M9r1hN2p5ySVhEsmpjlnvI8E71BIikIz9l6tihqZIV1hefin4TmhOQParkeQ\nmM7GJTQgh2ApAZDorb98QuMcK1kg8inHqzmfu71DYSRKCoS1HC0u1rZ8bO8akkBkQcges+qhEtQf\nWySnU4lUMxAtfi1IIeHis6eq96FHoXB9JsYlUc3Yqp+utlc7E+plT1SR6B02jtOhOV0Glu0KGQPm\n+nVu700IYpdrW5ZFqmlWlz+c56MnOD8QGjO+LhckhQHi1dTa5xzI4ukZkLGglUYphqqZzYQNVMO7\n1RIbIWK4vTdFKMVMGZS9x4OjwPqCqdghQCISJaTGYbXHBMFsf/ep68qigKJAZMfD4xWVrs5EaGpd\n03QtvvMEJanKpyvt0/19dMwIk+majiQyiUhKF7N4bXrPqsksD7/FJMOP3tljb16hMbRS0hw9PP/N\nnxE+BILNoDIiZ8py/A7NfGcbROL0ikpJY++RJGbl2J1XiSkVEjUMtm+AELr1mqWsEKqhcVt84c4W\nO3duUcZItz7laHExB8qh+DgEYBcpYUOkOl1i5uVTc4XTaQFmhslrulZC5MwdmhwzWE2IS7ycsTN/\n8vsIKSnnNbNlh8sBERM2yFH26qNFT7dqUDmzP6t46eYWi27GrdmKhapYrS63+JiAFCKRgMhgivGz\npZQuBnn4BYtW3894TmjOANs4VE7MR05jF0KgigIFGBGx9vKrud51xAy5TEixw8vXBpJWCJDOsbbt\nhVzAhkUy0EeJip4+Bcyio9iqn1okq6qg1DW9ieTG03QdhSqeuUvzuOoTO0GIK7yesfWJdOjptR3K\nVUuWgtC7oRKlLm7xenja0XV2aGPfuc3+TkmWe9zdi7RyxsHJ5VdzvXd4G0EaTKkYv0Oj0EqSU7qS\nIXwuBASZamQ3JBgMGkwpUUIQQsBugNC0Jw9ptEBkxYt7wzq1W5RIIg8OTmn7i212MQ4zR0iJazu8\nyugA9Ses7KdlQVYFBZbj4yW1qZ/Z6azzgzPacrGG1JO1of6EHXm9s4vKQ05L33ckFD4mlLqY3r7t\nPSdHHc6vMELx4rxiXmuMquikYHFw+RkPH2VLCVAiUo283wBcv7GLEILFJR/kvlsILqAUTEY2SXms\nptBCIJPH+nDp8vB2uWYpJ1B2FPoaN3ZK1KSiSAnWLcer7kJzNE+s2CUyBJKO6EVLufN04XY2UQg9\nJ6kOv0zEGJ+5+BhTJOWED564ztjcIfWM+eTpmc9qb4t63eJTQKYhw+6iHZqUYNF02KZB5sx+VfDC\nXo1nn72JoJeS5fJyrY5jzqQQiMkhk6C4lL1aoySkDcV+fC/iOaE5A7quR0rB7BKGNKUp0SKDTFjH\npQ8Q23aNU4mYBbv1Ptd2B5lWKSUy9lg6LqKYerxI2igpRMTFSLnume4/ffCpSkOlJ6xVxHjP6bJ5\nZveUlBMhBbz3sM50skfIKfPp05vY1gv7mKUDkQje04/QobEW+tiyPF5Qx8j+tV22ZyXVpKaUhlBo\njk4vv0Pj3KNFkmGRHLvqI4SkNGrYjK4enxnmWkRC1WNnSz3u0GQUEH2i3cAAdntwTCcEkpobs+Gd\nvr67TXKKZXufVXN+QvPYit3HSMwQncWR0Skwv7H/1LVlpciqQuSe05PmzB2aSleslitS7AmypK6f\nPvhMdnYQZLQI9DagMvQjWLw2vcc1h7QWKlOyW0gmtabQE6wQHB8cnf/mzwgXArHPCDLZCIqRD+UA\nW9tbCCE4WpyMfu/vBYQQQcLUjGuSAhJdDPOuSQSsDZeupmiaJV4aXI7sTHbY2yrRukCRSV1H1i3t\nBYytPiI0UZB8IMhIsXRsX99+6rp6aiiY0hYB1glrLVrqZ7JuttFS6Yq269BNZF0GtJqwPXs6J2h+\nfRuzciQZySE+UlNcrPjYthBlR+x7lBDsFor9nYKi2KJUBVlBs7zc4mPKmeACOSeEhKI0l7BXK6QS\n5Cs6F/cseE5ozgDXe6RITC5hgNiYEklCqUzvLz+B2K5XeCVITnN9a8b+9lAFLJVGisAqNRcaNvx4\n1UfFjMdTrB3TG5+QpmhNVU1oFdTJcXCyfubDjw2DZbN1FrWOLE3AiCnbs6d/n/mtmxR9j5CJYC0u\nqgsTmtUKVNWxPGlRObG3VTOvS2Zzg7UVKEm3vFxCE3MmpUgMDpHUMKx6Ca90oRUyZforaPHadC1C\nZIr9ndHvraVGFAopBckn2g1om1fHJ3RCEk3N3nQ4LNy5ewvZWJp4yqrz55ZkfeRcGCICgXeemOLQ\ntd7de+raujZkWWCS42AxvNPP6nT2OFRzfdpCsgRVUFdPv9OT6RYoKEPAuh6ZBS5c3BFp3XqyXOLW\nkXp3OPTXlaaYlnhRcHxy+aF1PgR6b1EShOBS9pt6XiMEHB1fPkH7biDGhFHjf3dCyEehiAJJxFnP\nZa+KzWpNFIkm1lzbqZhPS4SUFIDqO1AdF1E3f1R8DBKCJ4lM2Vq2P5YXBzCrFYWqacqAaQOLrn3m\n3LjHGTTrVYt2jqVKGDlhq3raxGZ+5zqmcYPLmQ304eJ7ddNAFB3Bd2gEcyPZnVVM5yXZT4gq0ywu\n1+zDxUgMGYhoMkaPbwoghMLIBFc0W+pZ8JzQnAHeB1CXUfUZEtmNHLIH7AYGiPvVCiegtRNu7pXM\nH7mN1IUhE1h6z3J1/n/D40WyCwIRAk546i5Q33461E9rRWVKeg0qOo4X6zMtkpWuaPsO2XpWJmLk\ntyE0t1+gyINcMMWAjQIpL6a3X6+Hqo+3K3SGG9OarWnJfCZp2y0wgtPFJetycya5SIwORb4UXS5A\nVZRkEs0VXCiPT08RQlFsjT0XB1obZCHQIhOcoA2XLwVYLE9x2YAu2ZkO69TtVz7DpGtJqcEnd24p\n6UdGHyEMBMJZYowkkdneebpQUZWabKYY0XF82iIQGGU+9b2OKRJTpFAF61VLSj1ZlUw/MQthygql\nh7UlBEfOYGO8kCNSStB0jkSLahr27gx5WZXR6LIiULDcAKFxMdL3CSkyWQvqYnxCU01qRIbFwdVM\nFY8pIpWk0uPPFGqtUWLYq3sX8ZccmNutGtCKtplxc0d/5AxWSImMDV1qR1FTuCTJzhFzoHaO7ds3\nn7quKA2VmdJLQZl7Hj7qvD6LmuKxG2m7bkne0anBNGXrEy50s9u30c5DTrjejjLvul6DzR05ObSU\n1Eown5Ts7EjW3YSkJEeLxfk/4BngYyQHMch1c8YU46t8hJAYLckpXkl5+LPgOaE5A7IPaJEvpWKm\nixpFRkpwGxggbpcropC4XDCb5Y8WlmlRo4Sn8ZrT9fm1uY8HDV0UyBCJeEzwzG/deuo6rQ1lWeEQ\nmNBzuuyevUMT7VD1WbcQLL3KSFWzVT/dxt66dZucPconkg30QZDSxeQpi2XC555kV0gE24WmLCRb\nk4IuTdEkFuvLrcjHnIkukEgooDQFl/FKV5VBkmmvYIfm4PgIEKjp+HMK8rHFqxRE57Eb0DY3Jwu8\nMOS6pHp0EL75yktsuYhzLatgOW8W4GNC08eEygLrHNo7hIbtT+R9TCoFqkTj6NqE9/6Z3uvHRYqc\nM82qh2SJqv5dHRqEwJQG1fcEPNElXJRofX6nM+/B4Wn6lqrv+cEf/CwAVaGpqhKvSpqTNfGSLcx9\n9FifhjfZjB+WC2CqKYqMvaIzNOSIUAY1cliuEAJtDCaDkAnnxaUTmn6xIihFZydszRXzRy6ehZLI\nbOlInCzP13nNeZiLkzJikyKGnhRBJ8/2J/bqyhjKqqaXiTI7ThZDuOaz7NUfOReue/A9vUhIU7NV\nfUJydvs2RI9JgRTsMIN7QUJzunIkIQGHVopSCbYmJWWZyXpCTJLV+nI7ND4EohcIIpKhIHMZMFpB\nSr9nmzTPCc0ZEGJEasFUj5v1AaCLEiUSWoG34dIXyVWzIiQB9RZG5Y8Wyfm0JnYu/SYAACAASURB\nVIvEyVqA6c6tzR309oMVZLKelBPSR+aPqp5PIKmriqgMInecLNpnnqH5aJFcNmQ8XiS0qdiePH0A\n2N27SZCJynlicMQoCfn88pSUYN33CFESQ4ORgloJhIC9eQlqCiLh+ou5z3wafErEmEHkoQJeXU6H\nZjqZkcms/dXLojk4OEYCYjL51GvPCiEU+lHXLAXoLpnQxBTpjtd4VaK0oiqGDs3kxnX2RSC7joPe\ncl7lW4yPAvhiRCdJkxzKWVD6d3URqlqDrpGyw/UC6yy1run8dzYGeCw3897jbYLckGXFtPzda66p\nCrRP9CmQg8dFgdaJ8y6d1oLPnmXTsJUCdz835GVVhcY8Iqb90uHC5SZxe+9wNqMEKC0xuvj0/+mM\n0GUFORHaq2rxmin0+EoKGPKlpMwYOQTVXv5e3ZLJRDNlqywwZiBplTJILK2tCaI9V6FieKcBIn0Q\nZB+QzhNzYO/27aeuNVpTlTUxgxSOk9NnV1M8Lj6265YcW3ohKctiOIB/DPsv3CYRkWSc87goL6Sm\nGGZdO2IoyXiULpFCUFeKiVGY2ZwoNM0ld2hcjISQUDKjRMYUl0NoSqUhJbrfo4zmOaE5A0LKSKGo\n9bhVHxgITUFCiIR3wxD9ZaJfrvFCIcoZ09JQFMPfNJ9OkQKOFxFRdJwndPbjVR+XFSn05BhIRK7d\neLrqI4SkKgVZTdFpybINKBQ+DSToO+FxG3u96ojREXJGlzWzTzgizbf2iKWg8J7gPSlLfDw/ofEe\nomxxfU2KFikUlRpepb2tAq23EUC4ZPtEHwLRJSAAgkIXl0Jo5rMpCFhtIHxs0zg5XqGITC7B6EMI\nRVlIhFRgw6WnirvQ0C89SUqyLj4iNMXuDlsYSD0H6/MdfOBJAJ+LEh0DbfBIG6FQFOrp564qFVLV\nCHpCK1m1zzYb97hI0fUdsZeDy5msqevfTWjKUlMksMmRbMRdMDDXucFYoLMNc5G5ces6AMYIjJkg\nRKZvEr273K5GCA7rIggQpUZewjatyxolEr65XHL23ULOIPT4+T0AypRoQMqMtZc/79o2/SBV0jP2\nt5/8TdPSIPCcLDVBnM+V9HHXNeZACIOaQtuAU5lr156WnBmjKcqSjCAly8kZ1BQf79DE2GKzoihL\nlHyadO7u3CDKhImRYD02SnIO53Yv7DqQRUe3FmSRMGb4/oSAnXlBVU6JQtGuLrdDE2IcAi9FRhIp\nLiH3DEAbQ76iaopnwXNCcwaIHBDo0dvYMHiIGyEQQuBd2oDkbEmUCqjY3XlSAdza3YKYOF46oujP\ntUgOZAYg0ntBdg4ZEkkmdneuf+JqSV0IMHOUaGnWw9/+LF2ax84pXdORsiWETFGU6E/MOMmiwFQl\nynuysyQp6P35F8mB0HR0XfH/s/cu3XEkSZbmJ6Kq9nB3AHxFVk7NLKZn0af//3/pVW9rarIygw8A\n7m6mT5mFASRBujMABCwf7JBzuAmS4QBoJqpX7pV7aZoIGuju3qSri57dtqM1wVbemci10qqgUnFU\nQvfyk1yAt68uUTFu48/nnnJ9vQczNuPL2zaLKK73OFVqa8T8+Hyl59ScDsxTwxCkG+jC8lB22y3b\ncQAi13Ph+Mwk6S+ARnC5cCgJnyvSebw+7Il95wmuJ4fKkJT3h8c5nd1n0BzjEYuOJhH8yHbzvewq\njD0hGZlInTOp/T7JWUowpUgpB0YbGF4tzncisBm3qFdyLaT592V0/VblmknTEpbrOn0QKPpS5UKP\no1GndVnkf1QZDT+s0w9DN+DEcGrEvL6aYpoSmND7La+vvnxPm34AZ/z12qgyPRvQOAe5FmoTLGck\nRqpvvL56aPThnKfrPCIdziY+3CwDxd+ybi5teSHFhDQVatnTdLMMe74ZwA27C5wTXE3UnClFKb9D\nHp7zYgiwv2WRZn/FjLy56sEGTIzj7cqsaynU3BBvOIxuJYZm7HrkD0DzRz2mqhluhQVNuJOcOaPT\nRk6FuazbJI83E1U86h2vdl+mBVfvXqO1cjxmsj2/SXoPzQqpClbqcrl3fBdKKuIYOkHkArOJeRLm\nOP8mlX2/PBxc4HiIpLKnSU/X+e9obEQYtj0+FVpJ1N/piLQ0ySPHm+Xg1PAlgOxi7Bm3gpnSVm4q\nqVZyandTH1sl7R7g9ds3QOPTTzjNPewnFGOzQtYHKGHweICcFlewFQFNmifmlBE1dpvt3VBhuYD1\n44jLmZgz0zOB6ZflYYFUSBLRZLgT4YXBOYLvmVxjSMb7/Z4xjEu43g9+BvcZNMfpSDsIRQveDWyH\n7+VDw9jTJyFJpMSl1/wehuY4F0qpuDKjvqf7ai/o6mKLiKfUyjStrbdP1FhBPaGTVVhXEQci1Pjz\nZVa0u6Xobnh5GSmADwNeKt4ZeTbKyoAmzZFqcLlzXGy+9PjNXRjwx0+Vqr+PoUl32rNaMpYjrgv4\nbwZkIkrfgfkdypGbw2IK8lu5cfdKipwzcWqUOiG6ZdPJ92Bdla4LSEm0kqlNye33qikmpmOEBv7i\ny+BqN/QsR6YyTetKL3Ot5FQBw1Hpx3UAzXYzImYcftIg7N+qPwDNE8uFlQCNeiQoAlCMw8oJxLeH\nAzSoHVx+9XJdvXlHqIVWZmq1Z11+7ptkrpVa9a5JZnCO4L595JR+ELxcUP1MnYXjfPzNae69JreU\nQpwLzSaqDgw9qH7/b7TZbHF1AValKan+vqlPkYnbfVsmgV81/otNzxgaEGitUdt6rEYphZwM0SWz\nou/WOcDf/PL2LrPi53NEOtzOiDS24zquMxoUz5Ljk1JhzavPNO2Za6GY583Fl2dBRdm92eCqEXPj\nMD2vt3xmaJoiqRFlQpMQxu8n4d57Bt+RndFn+PV2j4r+MLfiPleqcx3HeKRNjeQKTgLj8D1L0W0H\nXILqI3ku5Opw7vkMzXEuWDXUGtq5z/IUgKuLDQ7PLMLx+tfnfcAjqpnRamFO7Y7hC6xxTIsoTsDS\nz7dDk2tBFMLFy2dLwbJ/5DEESHl9l7OcCzTHZpDPbqQAV7sLpDQ+7SPFMjE9/RL72bkwF0yENGes\nFMIwLtTkg3JsOoFwidrEcVrMPn5LTXEvN4spYtlRZU+RLWMvnHq2fefRUigxIU6Y8/MBTUpGqpF5\nLmiuhMsvz8TVdkC65StoKwP7XOuyEyiCKqsxNJe7LSbGPv18+66PqT8AzRPKmuHCSu4ULqA9OIGa\njem5QvdH1nxMmAjO24Opz9tf3tLlSkrXBB3ZP0Ne8WXqsyTxWUpYTUhwn6VZ9yWijL3gbEP0lS7B\np2l6dJPMOZNnsDYR9ZIxnJ5o9uOIlCWzBVkkZ89tknNsmBkxHbBihK8Wyi/GHvEFk4AUKI8IHXtu\n5VqpqaLO8ALdSs4pmzdbRJS/vv/5Miumw4SasenXkKco2geCGCqRXBtlRTv24/V7ZpZLwr9dPQS3\n21ev8KUw58b0zGHJZ4bmjnWNEnGz4YfvmUHvla7riNLwUvnwcQnKuGdpTtX9Oy0i7A8HiJXZN1zo\n2J5Y8B4vtnRVkJCJh5m58jsZmkwuFZrBZkS/6iNvrnpc88zeMX1cL4zyPlG81YQT8CdkOS9Tiqhh\n6eeTkc4pAY1w8fLZUrBELHR3krOajLTibpyZkXPBzLHpjN1XgOby7Su0Vm7zNc4Ch/npX8eDbClR\ncp5xteLC9/1wYWgEpxeIzOTZMcf50cPH43yEGbJMNC7YDafP6jD0SG1YqlSEmPOzz+pDjHjpmMsB\nVzNXb78EAF9sesQZZkpZeYCcyxIA7N0ygBzCOmqKi6tLMDj8bxqu+QegeWSZGaaNsHv5SS6A12Wx\nVlWx2phW3r+I8wxmdJ4HXvCbd2/oWqPlG7COwzMskT7bu+aCqaOmArUh6gnfaO1FlM2geNkQfSZE\n+HD8bYZmn/Zsw5aYIi0rrR0wv2M3Kqce62G3wbNMP8Exl/bszIopFtQ65rqH0nBfZZhsR38XiNdT\nrK0KaNLd1EdE8NTVrCA3my1ixvVPGMI3TxFxsHEv74gksmRWKAq1kAurLhBPHz9ydA6a49/fPAQ0\nm3dv6GuiHCuN/Dv09o1UHW2KRMmE4hhO9EQnji4MFIFA5f2nRa44+IGpnB6S3MvNAG5uDog1khjO\n9YwnLljddsQnMA9xjsTfYdtsBlPKixNRqdjlxYPff7Xtca4jCtz++uHpH/DIqma0XEkloybL5W6F\nHZqlZwhtZWnzP6I+3dwiKoR3b3/7Dz+jnA+oA1GoKTGt+DOsLVOrUQkMXeHyq+Hjq9ev8aVQyhHw\nzM8Ap/dn9VQKiiPniBbDbU7dcxYDn6YXiEzU6LiZj2y7LfsfGGXcDyrmtCgwkivAyHY4fVb3fcC3\nRsuJKl8MfJ5DhO3niNIT0w2+FN7+6cszcbnpMa1gjrayYUtujZSWeAUVVnPge/fuLTjj0/zzSUkf\nU38AmkdWs4qY0I0vH8AH4F3AecHTyInVHZFiXC72nfPsxi8SrbDbMBq0eE2ubqGinyj7/3rqo05I\nKUOpuD6gJwwVhs4T9JLkKyE1/nZ7YNttOebj2cyH6/may/6SKU5Y8rQ2UdiyHU5PNIfNQChKrQXa\nEvjp/fOmucvB4clljyuF3dXV599zDnabDrSj0UgrpsMvkrMCangK3YlJ+UtUt92hwPHDursD/4iK\nMeOAcQUrdnBo8AQBdZU5s6o85fj+A7MIrXX8+erhheTi3Tt8ydRSEZ+f5XR2z9DkCmWeKa7iUqM/\nAWgWhzdPEUW18P7TcuH50aDi/uID3CV3N5IznHYM4cQ7/WpLKAbeqPNEajzb4jVnQDNxqrhScK8f\n9vmLjceHgYjjw6/rMTSlNcQW1ylvSugdax3Tqor9hJPc9x8+ICj+aqXhow8Et6gprMiqgKa0TKlG\nwXM59Az9l2fh6pc3dLVCuaE297sAzZwLnSoxJcTAn9gVFlHGQVDbkLQwzvD+cOSyv+Q23Z7cjTMz\nbuMtu263nNVHY/YZZcduOG14EfoOV2UJ1cUx/R41RSo088zTLV2D1798ATTjoHSuB3FIM9qK7Hku\nkVgaHqhOGFfIMgR496fXqBkfDz/fWf2Y+gPQPLJiyiBG2K1EY7uAjm4J4cuV+RE5LL+ncq6YCZfD\nhr7/AjL8MNA3Q+yam6NDXHnyNLfWuyZZCk4cJUe0gDvjwjUMDuc2FG10Unl/c1h0/92Om3jz3Z+P\nJWIYYxiZ4kQ+Vqov0DbsRgG+b5LDOKAmFElIq8Tqni1PmVOhNiXFW3wpvP7l3YPfv9r2qOuoBsdp\nvUX6XCsxt+VgFVmNxu6GDUoj/Z446n/SqimDskq2lMgSrOkAJ420ssXr7adrEg5Cz7tvXMEu//QK\n36C1SOPpgObeit25xlyFljNZKz4L/eUpQKMMfaBKwFvkeCyUUn6YRXOfQWNmd/auMxnBhXByojle\nbQkFXKiL4UJ7vh17SixALxq+FbZfDSkANoPH91uKeW5vvu9JL1WpFATFWloC+Dq/kuQMvFNs1a2u\nf0z95a+/IgZureGjesQvp0yp9VkqhsdWyYlSjWaOt9vus9EHwNUvbwmlUsqe1p7P0DjXmAp4gVor\nvtrJpXURxzAIQUair/gM748HvHp613PI31+iD/lAcGHZi5sn2lwprqB2yXY8IzkbO1xrtFxwIs9W\nU5gt71Opjml+T58b7958ub+JwOvtiIkuoLGtKA/PmTmCqNCCMZxgnF+iXr17jYjyl/frscj/zPUH\noHlkzSmhYqvR2CoO3wmqDouNecUQvtoWN59aHb9cPrSrdWNP3xS1Ax9ueRag+Uxj50IQyCmjrZ50\nQwLYbDzebchSCDQ+Xi8g4Gq4OglobuINl/2y3Hecj7SDkVwG2bA5ozkPV1t8VorlzyF8vwfQlOZI\n8ZZQK7/88tDe8mLT452nOGV/e/v0D3hkpVqJc0F1ac79Sk0yDFuERtyva1f7j6jaKg5l49dZvPbe\nLTIDNWJatNRr1f76lmSO6kdeXzx8FrZv39K3SsuRJuXJgOY+gM+skk0gJ6oYPhubV6eWr5WuU5p2\naJ04xEpK6VEMTSmFEhu1RCqC78PJSW7/+jVdWW5iORZMoNT2bEBjkplzRFvl4u3Dd3o7erp+Q5XA\n7acDbSWzj1QKJbcFaMgCaNY6pjtRrBltRee9f0S9//UTSmXcvLwVO9ypKYKiYpBhXlEeXnKi0Kiu\n493Fw8HB8OoVQzNa/sBxdpRaeCrJ8IV11TuAlqAIfntKvqwMPXi5JPtKX+DXu/yWy/7y5Fl9PV9z\n1S/DgcNhppXCrIbphu0Jow+Aoe9xBq1mxBpzkWdJSRfWtXA4Krne0Jmxu3woxX17sQU8rRnlEQGh\nz63SMilWHA31nn6FsFyAzeUFAnz69W+r/P//2esPQPPI+nizyAzGNxe/8SefV04d6hUVpdW2quSs\n1EStRkH4P149fMFd6PAo0hLvbwzxzwM0zhlTMYJzxBzRCv7M4vXYK8EPZAEvjV8/Lk3yqr/iOn6f\n4Ps1oJniDNHIwdA2stsYpx7rbjPiq9B0pkVjqvosQNPa4qsfoyOVT/QVXv/pG0Az9gTfEUU4HNYD\nNLUuuxDeFtlNvxKN7UKPYrQV2aZ/VJVaMIWNe/lsKQDfjThs2T2J6zki1Zo5Xh9I4hA/8Hr78FnY\nXFzizbB0pLTMU4fK90OK0uoSTJsjWRq+FjYX30/CRZTOK2hPsD05eQ7TAacOp+47p7NmjVzvHJNi\npOZGKQcKHSG4k0OK8eo1fcuIGK3N5CbPdi+MkQXolRlfKq9eP3yn++DpR0/yHfNNJpV13oXcGi0L\nogVpxrAmQ+Md2ozUfi5A8/HDzWLFvl2HoQnO0/WCilIyqw4f47wnCyCONxcPQYbbDgwNtN5wfZBn\nn9XeLxJsVzLFIs6Efvye7RcRNgN4Hciu0rfKx5tlyHUW0MRrroYF0Oz3R7BKVVAZuNic3iPpx57Q\nhNoyrdZnn9U5g/rC4eiIZU9X+W7f7/VFD/il/6zo+JdLIqa2GMcFw6+wswnQbbYoleOv39+b/neo\nPwDNI+s//vMviAhysQ6gAcX1bkkVz4s8Y63JWS6R0hpVHX+6fHjxcS7gVXGy2Lu29vwmmarg7xbj\nXYMwnr5w931H8B1m4CXx4XbCzOh9jxPHMX+5PJgZt+n2M6A5HGeoS7Ixsjmry+0vNoQiVM3UUohN\nUa2Y8aSpVs4La3U4OKb4ia4Zu28WiC/GntB5ijquP63I0OTEnCoqYH49GlvEo2rU488XwtdaxYlj\nXIGhgcXiVWSRBcYVAU1pkXwbya7DQqDvHh6Y3bhdzD7qTLT0ZIbmy15cA4UcM00aQy1s3p5irZU+\nQA0bxCZK8uznZVBxSnY2lyV7SkSY4gQlUNsR8z1dd8bo4/UrfK1QjdYqheXrey5Dk2qm5IlgdwHD\nX39W5wkh0NQxXUfiGWOD31ulFGoWUMMJhG4d22aA4ANG5Vh+LkDz6fqAiLFdISwXFoZGvOIUampM\neb2LcDzuSQhI4O3uIaDx48i2GdQjH/eAPnf4WIlNkdpIEvFJGLan94/G0eO1JzvBS+Fvd7txu27H\nXObPIZqwBMTmmtmG5d9hujnSaqFoQ3Tg1fb0edXtBnxVGpFWC6nybIZGXGF/AGsz3pTNN3umu61H\nXIdhTCtKB3PJlFhAHdo5dAWjD4B+3CAY0+Hnk4c/pv4ANI+sv/71I4IxdOssGoooofOoKtTEHNcL\n4WslU5phMvD6m6ai6ui9QGscc1z805/VJBtzVVxr1JbQKiftXQG6sCSqow5XI8e5Uu6619VwxfX8\nZdpwyAd61+N1ubDtbw60UslqCFt2o3wOufy6hqtLOqtUEjUWUhbg6Xr7lAAtHGch1YmxGNtvpj67\nsUM7T0H5uGJ2S66JnAxVoTphcOs0SRGHk0Z9ZiDjP3NZM8Q5/DoEDSH0BCpOjRLrapKzUjPzTaRI\nh+sDQ3gIaFw/0BloTcTWmOPTtClfsqUKoKQSQQVfM/3r19/9eRGh78F0RG3Cl55f9wugOSU7e2AI\nMB8gO6gHsm5YMjW//wfaXr3CaUNrwUoGjFiex9CkBNkyJR7xrXJ18T2g0W5ARZjmRMvrSc5yrIi0\nJSz3q9Del66x9/ATpoofbg6oGZfDOme1U4d2i1tVyY24oow03e6JqohTXm0entWu7wjNoVI5zGUJ\nsn7CoOJ+mOdcXRwCq5FIuOoYrk6zW2MfcLqoKTppn90LRYRdt+M2fhngXcfFuEdEMDOmY6K0RL17\nrsf+9HnVjQOuLvuulutyj3gmQ1NaIeVCqRU12PUP7yCbweG0I4mw36+rpiixAg7XK24l1tX1GxyQ\nPv18aorH1B+A5pH18f0tao3Nbh0aGxTtPB7BJBNjXQ3QzNOBYkbTwOU3CdwiwsYHrCmHdKDU9kyG\nZtG+Sq2UFtGqhDNTn+A9GgTRgHLgOBv57kO/lZ19LTcDmPbLVKhoQ1zPbnuayu22F3RmoEKJidgE\ns6dPc3MGoxBzptS0LFBuHk7ONoNHO09tyu31em4jtRZiEhSQTgkr6XJFFKdKW9mo4h9RrRlOw2qX\nRneXKi5eqKUtidwrVCuFaU4IDfOeofsW0AR8E+BIrp7jEzMrPgfw3eVVpNqQsizQX755c+JvKMEL\nJiPChC/Kh+MdQ3Mii2YuM6Nf+sNxPlKSw7WJJh0hcFJ21Q0jzimSoFnGTJnK80wB5tgo1shppmuw\n2z2U4vbB4ULAqTCnTFkpiK+0Rk4FUcHRCCsN0ADGu6X540+WKn7cT4g2xpVCsFXc3QDOQ2rEFeXh\nh9sbMgJhYPuNwsGFDm8C1jikSONpw8dl8AhmjVQFqYVoGV9hvDod0hw6hws9DcORud7Hz+5m38rO\nrucvcrNaKyVXaos0hD44uu70WR0uRkIRMhFyI1ZBtT3ZvTAlqLVRSqK2hhNl/Eb2HrwjhI6sjuPN\nOqxGvQvLzTkjqoRwWkXyEuVDj2ijHv9wOfujflAfP94uNPZmHUCzpEI7vAlCY07rAZp0vCWpoua5\n3Hzf9PsxILlyTAcylRgf/3XcuyGpVlJTfDOyJlyF4YQuF6ALnhCgaUAtQlE+TcuF51sq+2tAY2ZM\nU6KVTBajcx19d2bqc3mJaxXBSDkRy7Lg/BxAU6nEVMil4M09CDsD6DtH6HpMHbc36019cknEedkB\ncYHPrNUapcjzfDP/2UsqbiU9MywOcU4aKkaLjWmtyX6KxFRBBfH994AmBAKCtJlUPbnlJ+U6fJ0o\n7lFKSViq4JSLMzs0Q680twUmXHZ82H+xbv42i+brDJrjfCTNDpHjwtB0p62LXegIvcOmAlZodXGR\new6gOc4ZEU9qM101+m/Y5BCEoR/xTinWmOZ1Lgy5FMrcUBrOymphuQCbu751zD+X09k8zahyMoz1\nJUrFoWGxva4lk3JaTR4+3e6pKHQLCPi6XOgYncOacIyR+kR5+P07DZVYBUqlaKJrjf6MQ1zfOXzn\naICSmGL5rKb4GtB8Kw3POZPmhtWJKp7QObpw+qzuN5u7fddELpVYFLOKc08/q0srlDpRK4hTwje9\nvveeLgSyCNcrqSmaGS01SlkAjevXM/oAhwLt+PMZ+Dym/gA0j6zbm1ucNC5O2Bm+TCk+BLyAk0rK\nbTWL13h7IIniQmBzYkoybnsojWOeMZQ5Pf7Au3dDgkYsArkSSbgsdGdcZ7zzdF4w16N2xBfH326X\ny4+IcNFdcD1fU1tlLjO7bmm2i968USxiLJK9/oR/PsB4eYGz5WIZY6KYo7XnARqjUPOS/K7i2H3z\nTKgu4K2oZ1rRFCCXRE5lOWC9oisCGicC9ecDNNbAn3Hfe4nS0BEMVAypjUNcZ5qb0kwsFUS43Gzw\n32jo1HmcKGKJaVY0PM26+XNeRV2kULVmZKqod2yG845IKiPFVYIJH2+/hGveDynuf01l+kpydqRE\nj2ikyIaxs5MMjXMB7RRNRiVjxZifwdCUAk0ytXpq2SOq9MP3bOduM+JRZnXklQwycinEVFAPTox+\nRYbm4mKHiXEo62ae/b2rxBmHsTtzYf69JeIIISDqFlYjrbfvut/vMTwWuu8AgFO/DPAqzOlAlacz\nNN4vDE0sisVEBUIr9N/Ylt9XHwK+C5h6XIvMCY53bOXgBwxjLjO36ZbBD5+HbDFFYtQ71tXTDUoX\nTp9X/dWWroKRKWnZxYXnqSmyVaxM1Fzx/fef1wVHN3YUhA/X6yzSVzOsFKolPIIP6xl9iDhUjLoS\ng/zPXuvdgH6ymm4nBFslURzuGJrgFwpZKznLagvEh9tPJBHMe8YTgGZ7cYH7r1/J6QjiPgdJPqa+\n0NiVuQqb1sgWGauyeXVGchYczkPTAdqMq4H3X1Gm9/bN99k09/KgnPMde5QoCL4L302x7qsfN+AE\nbZmSEyJCekZmxdIkF81+KULnDP+Nu5gIjP2AibBfSXLWzGi1UlNBRsX3spouF8A5j2XDzFaTZ8GS\nkwJuVXB2X2ZGA1x3Wl7xEuVdwDlQbaQkzHWdy2M+3HIUgaa8uRz59p9I1eFVUQqHSVBfiBHGR96X\nc4bNBqapoM0tACJXLMDmhBmFiNAFJcjArJWBxocPy5DCq2fwA//zr//z85936j4Dmv1+gtpoZGC8\nCxP8/tlWHxY9euqobqYVIZZCCDzpYhfjkkGTj4FmkVCF4QTIfXO1wdExqZE+rjPNLa0xx4oTEKt0\nJ8Hiy9Tb11cIcPuM/JLnlFmjtYRz631PsAQ6m7hVrNjhPl/KEQSsJWIsVNa5TB2ubynqUN8Tvvl+\nRISw8UiuTDGRnsnQmFVig5oT1RrOGv3VKSv2RU3hPBgBtYlQHe/3R652y7Dysr/kNt4Sa/xs1wx3\nrGtW4ECRwNYJ4YwrZ39xhbeKKeTjTKzDs9QUc6o0gVaW/JtwYkjRB4f2nip+tYiF3Bo5G42KM8UP\n6zE0IoII2Py/J0PzLw9ozBrT9L8Yx/++6kXreDwgGNuVdLmgqHc4FbwzTWHaJQAAIABJREFUpthW\nAzTH/ZGCgz7QnQgU3Gx3uPIXrB5pzZFKwYzvLkmn6guNvTA0ljOZTKjGcEKaAuDEEYJgOiJyRKrn\nw/HLBPSqv+I/bv4DFeWi++IoFlNknsC1A808oec7Svm+1HmcE7Q1YsqoKvFumvuUH3POUKxgZabF\nCp3Dnbh8D+MGAabjOnsny9SnkmsC55B+PV0uLCF8tEI26NZ7zYjxP1Ht6Pv/c70PuSuzisHZ3a6X\nqOACvldUBCuNeSVr0Hw4MqlA8/zp8nuApqIsx2jlcDTUP42hyZkFKJQKVagl4ovHOmE4Y8c+9Iqz\ngeiMAePjPlFrxTnH/3j3P85+1v7TAW0dSRvGcDaAT7zH90qXlegSrRiptScDmpS4+3m4xcAEYzgR\nAvzqokfNU0TZ36wzqEilkJOBgkqj79a7/F++egViXM9/n924nH+llE9sNv991c8pJRFgNUADig6e\nYA6lMqdKaY1eX/7zjrd7Cg7te07978dxRFPhmPeYvLpTUzzuHLgPwM51AYDlLjzcWWW7Ow1ovHOE\nYFTfo3bAFeXX44H/h1+ABdB8nD4yl5n/9vq/ff57c5zJySMWSTrQBQhnTGz6i0tCq+BYFvpNqM9Q\nU8yxoOopdYbS0OH7vtgFhx8Gmjg+fVwnMLfUCm1RdghC6E7b0L9UORGqrS8jPR7/F8Pwf6O6nsLh\nqfUvLzkr5SO17jFblzbPcwaRdac+nUfN8FRSrqtJzo77Pc2EFvxJHev26pLQMsaBFN2TwjW/nvpk\nUywXihm+VfrtactrEUfXgckGtQlNjvdfAZrgAr3reT+9f2AIcJyP5Kx4Jop2OK90ZwDnPaDxtVJj\nRVWY89P19nNsNBPMJlqqaN+dBNLjMAJGXemyUM1oZQlIdbKwXGu+zn0XwNrqjkitRXL+uOpn3Fe5\n26kaN+sBGu886g0nRslCXImhOez3ZDFMPH+++v77ERF67xAqtwcD9zxAM9eCMyPLjEuKOqU7Yxfe\n9Yp3G5KvDFY5zEu45o+qlEJKhZwrs6soI/0ZUwBU6XtHn40ikVyW6fxzAI24TJqBVkCE/kQfebXt\n0RCoJnxcSUpaWiElQ6WCO/11vFS9++U1Cp93m9auUj7SVkxjvy+7M67YrmRdKKI471AElULMbbm0\nrlDH/R5hsX8/VZvdCLlS2wFrnml+/GH2ZS+uoiLElKk5AcK4Of153nmCB9MetQmp4bPZB3zZo6lW\n2YQvAGJKEzkKTiaKLIDGudPnVb+7wLeGmBHniIqSniglNVuGA7U4ajsiObG5+L4vqi5qioJnul1H\nRppKoSYDqzhrd1K79c5qRWHlvTgzo9Ybcn6/6uc8tf7lAc3yA5XVAU2KCUVWa5KwpIp7NbxAjrZa\nk7y9vqFowIXhOxob4OL1FaE04EDKDn1CYNfnAL5aMYQcE02NQKE7w9CIOMZOUNtSXWGs8F83D5vL\n1XCFV88YvjSlOS1TH2wBNH0Q9AzgVOfRziGt0HJCnTDl59DYBcNhHJFY6M40/u3Yo6bUlXYmqhk5\nGY2Mq4JfMYAPWC6twuqAxixhVqh1fco85bxMwi++tx1+qfLO47uFHam5MT01AOaRNR0nUlOKdvzp\n6vQzGbwHEw5TWS7wz2JoGtKETMJFcJ3eL819V0PvcQzM2gg0bqIRf4OhSinRCsRSSN5QG9icsXcF\n6IYeX4QmMxQjVVC1J+VLpQTiC/MMQsWJ0p34nnajR7oNFeV6paXbnJcAPieAs9USxQEu3+5Ahfd/\nW/9S0lqm1unu/V4396Y0A+/pdb2z2gWPxzBppLiee+F+P9OAcC6Uercl1Iy0ebm8W3m04uBztlRd\nBnw5ZbQ1JOjZXVTvHN4LpgMmM1oCH78aPt7LSb+Wm8FyVsfokDaTbST0ixz3VA0XWxyGUokxYSpP\nzpfKeXmnc/EIR3wt31mxw508fBgwVQ7X6zA0uTVSAXFLQ+pWPqu9U8zWlZGaLcC3lD8AzYtVa5HW\nJpy7XH3yU22x0lyPoRF83+OtQRDqigzNdHNLEYd23Wka+/KCrjbMJg7H5zE0MVdEhDhHqkGolfHM\noqGI0g8CDMwexlb4683DC8Pb8S3/fvHvD7+POJGz4mym0tN5I5yQ0MECaEJwSK1Yqog65icCmlqX\nCao1T2sHpGXGM2nU202PmdBW+jdMpUA1zDKK0q3qnMKd3WVjvyKgMTPMCiG8pZT1WZrb4wHFTuao\nvFR5DWgniELNMK/kcnY87KkmNOd5uzsjAes81oypZCqPBzT3dqnOQawVipDbjEuCGzwnmwgwBIcP\nHUUN32ZKDnz8jayHmCJWhZQj2VecbOh/AGj6TUeXABp5TqS2LBA/haW5Z2ji3GjWEFlS4L+tzeAJ\nw4ZqynG/juSs1MQcQUXAw7hSWC7AeLFDTPh4/WG1z7ivUj7h/RUifvXLFjRUdDUJuojig8cDna+k\naKvJw+djvnNXPW2os726ItSMyX65vD9j+HhMGe+EEvPy0jihP7Pf4tThB5C2wbVFdvrX/cPh4593\nf+bd5t2D/3Y4TszH5T0zNoydcO688l2POvCtkFPBqTw5X2p5pws5Omrb43Pl8vXp+8c4jEsY5bTO\nHTKXQiuGSkMNur5nzbPaOwfNVnPJhWVAobq5Y2r+eSyi/6UBTc4f8P4Nqv0dYlzzsxKgbM7QpC9R\nLgw4DC9CjZXjSpefw+0eENyZ4LHN6yuG0jAin/YFcY8P7PqSKF4Rp8wxIxRE7AcZPkrfgWsbojY2\nDj5+o1Hvff9dk5zixHRURGayjoQO/Lk9ElVC8Gg2KBFEmZ7YJHMGFwo5O2qd0Zy4uDjdJC+3PWaO\ntpIzWK6VWgXRdidJWHfqs9kuB+qaqeJmCZGA968pZb1A0vv6eP0RRAmv1kkUh8WJyIeAilFyI9d1\nJtTz4UgUT+u2vDphxQ7QjT1SG1OJTwrhu2dnzIxYDdeMzJIoHs6E5QJ4rwQ3kBQ6OeJa4D9vfyxv\nOkwHWvZISRRtqA6M/fnnutsNdMVoWhYb8yqYPU12ltKdy1nO1CboGfel3dbT+47qArcf15FplZpJ\nyfA0UBhWsh4G6MctCtz+uo6709e1AJpXiHSrn9XVDF0RCC6ZcQGV5QIVC6sF5saYaE24OhN5sL26\nwBej2cw067OGj3NpBHWkWKA1xOsPpI7K0IG5DU0SXRX+evvwrH49vmbbPeyphymiOZG8YW2g787I\nSLlTUwSHWKbETFB9MqDJGdQV5qhM5Uioxvjq9F7QuBkRgzyttN9YCnluOBTFlsHqimd1cB6srn5W\nq3aE8O6fSnb2Lw5o3hPCW1S71Rma1gzvlHE1yRmEbkBpiDQoxlTWo7EFu5sUfF/ddsvQDGuZ41Se\n2SQzQYWSy5KqrXo2h0ZEGYaGly3JN0bgcIjU39CMHObpLlgy0WxD6OS8O5YIXe+QqlibaU2IT3Q5\ny5k7cKdkDvjc2J65DF9u+8Vus1Rae/l/x1wrJTWgoGL0oWPN13k7bhHWlZy1tjRJ73d3srP5t//S\n76i//NevCKCrheXeTTR7RVSxWMglrzI5m/cHqnjQnqvtGXnKpkOqEWuktELO9qiguntAA43cFEuF\nJhWXoD/zWXCfLxUopnib8anjv34D0BznI8fZ4+1IcgKuY3vCbvW++ostIRkijZrS8vXZ0xma0grV\nMrXYWWORIXi6saeq53alEL5cllBlFajBnZ2Uv0T5fkCtkVbaHbiv1gq1HvD+6u6sXteEQKziV5Tq\niejizCmGUyOm9Qx8SsqIKa/OSJs3l5f0pSGSuT22Z8nDp1LwzpFjRErDwnlAI+LogyCMzN7YWOPX\nRzw/x/0MrZE9SB0Yx/MMjTqP84ori90xok+Wh9+f1fPUqBLpauPi1enh424cEIS2ktVxbo2YChYa\nQqPrwrqSsxAwbPWzWqQjhDeU8hGzf45w3n9ZQFPKflnOc5u/y9THWgMNSx7HSuV9R2DRs7Ziq4Xw\nzceMYWzPeLa6sWc0gVaZYqbxDMlZbXh1lDnTWl50uWenZm5haHRH1IqjQjauf4MCnqYMudC00hgZ\nfkBjw8JiOFPMJmrTJ9s2fwY0USkW8cXYnpHR7cYAprTaqO3l92gWQLM44mkz+k5XbZKvf3kLNA6r\nSs6WJgng/avVWZq//e09joY74Wj1UqUorlPUeaxWUsqs8RM83k5UUSSEk1bsAMMwoqVSrVKKg0cO\nKr4wNJXchFYjhUIolf4HDnHBO3wXKIC4GWmev9z8WKd+jEdi9HhJZAzn+rN6foBut6OvhaZGyZnc\nBHg8Q2MGpRilFpolpFTkzOf1nUdDQK1xO738O213ieJpEQMgvawaluv7EZVGOawLaGq9xvsLRBSR\n9YePYOhqeXFwv0OjZqhjyUpZgaExM2LJVFNeX57Z1XxzRV+XHKbD1J41fMyl4p0jpYhWwzl3NiNm\nyZcSXOtJaoxqfLr58eDJzDjsZ6wZSRsqW4ZezrpyOh/w3SIPbyki6p7F0IgvxKkyp0LfGttXP5CH\nI9SV8phyKeTYcAiuVUI4z2q/RA1dj9i6gOaeoVl+bShlfZb3MfUvC2hy/pUQ3gLcTX3WNQVo1pAV\nE8VhOWCCVFQblo3pKVY9T6gYI60pV9vT+RtuHBiqkdsyMbRnAJopV7xT5pTwuaKqdGemjSLK2INY\nT3GGlAIGn36DAj7cTlhpRG9I69j0P77Uh9DhM9SWacmYS/ss/3/MAvG9LjdOxlwzQ6lcvj7t3DZ2\nHkKgNcj15SeSuRRSqpgYiuFW1uX++U+vaSLsnxCy+tS6Z2iAO9nZuns0nz7cIgibM/r0lyhVB8Eh\nIlhNxDuL15eu2+OMWIMu0J8BNP12g2sNKxOt+UdbN38BNI1UhZYzFcOnxnB1/mfnvSMMnmoO1yJD\n8/y/tz/WW0/zxHFSvEw0BNcFxjN7cQDd1RVDTWC2OKTVpzE094YArSpCgVLwZ7JfhuDR0OO0cTi+\n/KW8mkHLxDtHTR/05C7PS5XvBgQjH9bVwOf8Ee+XPTXV9YePTaAb1nunRQTXDXhrONfuQqhfvi+a\nVWoxqnneXZxRU+x2jLXRyhdA81R5+FwL0pTSJqQo0in+jKGCyCI587YhucqIMU+J9AM1Sc6ZKRaU\nQnINbMMQToflAoi6xWykKmIzDSW29qSIhZwBLaTUiC3TZ2M4s+96tR1oTWkrsWxLWG7GqaFqdCuG\n5QJsN5slMLeuz9AAhPD2n0Z29i8JaMzanSb3DcDfh6ERw69ooQnLAeOdoGK0LEx5HWq+5IKZ8Hp7\nuknqOLAxKFXIdqTa4xOI773tYy049aQUkSZYEIYf6HL7HlS2JDW8JLQI7w/nnYRaa+yPEUcja0Vs\nYFG0nb/8+MHjm2ItYcZnmcBjJz+fGZpspJLpq7E5p8vtHSqBao28QvZIrpWcyxKkBat72//5z/+G\nqHG7EsiGhwyNczvM0qrT3F8/7lEau+16lx9QfO8Jokgt5KarAJo4zTQBXM9wZrq63V2gLUOLNHs8\noEnpXnJWyU2XXRMxQol0u9OAHhYtt/eOJgHsyIjwn59+Y4dmPnB9EHqZyTjUO8YfSs52dDVhYrSU\nKe1pOzT3GTS1BUqdkdZwm9N9ceju9qEMbIULbAOsNkouqHNoUFTWG6J9ThVfKSsL7i7ldY/3V3ef\n+XdgaMwIP3guX6J86HAC6gSJleMKfbG0RKmG4Xi7OZOvNvZsbLkTzSmDPm74eO8C6BzEsrAHtc5o\nXdhkOWP0IeKWs1q3RNfwrSLV+PiD4WPOmSk3Qq1Eqaju2PTn1RTiHMErmhWxRK3P26FprdBaYkqF\nvkF/RrZ3uesATyuN1l6eaSttccITBbVKOLO7/FK12SyREevu0OSvho+vqHW/OqnwmPqXBDSlfMS5\n3edAn3vnlFXtIKuh3bpUoXMe5w1RoRRjXsHi1cyIKWMory/OeM33YcmnSZW5ZPITFoi/NgVwKK0c\nsaLg9OxFS0QZevCupyAEIlp7PkznpRDL1KfiayX6htjF+byK++/rDtA0y7TayFUwe7wdZM4sGuXU\nmGumb8ZwJsOk7x3qepoIx/jyuyClVuapoM7wzQhhXV3un/6vfwOE//x1vUnM1wyNiNzJztZjafaf\njqg1NmcyHl6iRBw+eJwJSKIUW0WeMh8TaoYLnuEMQ7NYvFawRC0BeQ5D0xQrGTMYamY4kygOi32o\n84K0ADUyeseHffrhvsH+MBNrwxFpzYFXNme+H4Dh6hV9XrJjailkhHYXrvlYsCY+05oHS7ha2GxO\nM9d95wjBL4ayK8hTSmu02iglIbokmDtdLyxXRHE0yrSeRXop1zi3+ywv+nswNKZC2K3nXAjgu5Fg\nBRHF6jr7rqUkamuYeF6Pp2WxfuwZW6UUI9ZMbY8DNF8CsBfbZmlCJeGyoT8YIIDSdQugWQaJFZrw\n6QegOOVETIK3SHOGSM/Q/+CsVqXvOsi2yFtLI5WGc18cF3+rUoLK0uvmLAytMW5P9/ndEMAcrdkq\n8vBU0jI40SVfqj/DAL9UvXqz9OT15eH3928lhNf/FCzNvySguTcDuC8RQSSs2ihNQbrTB91LlVeH\nd4rHqMWYy8t/P60Vyj2NfXm6Sbquo1ePpkpqM6U2arXflGWZLQzNMvWpYMsl1SXQIISzgMbReUND\nv+jtiWh1/O0H1qilFKZUcVKJ2hAZGQfjR4/0OA6EAkai5kK8m+Y+BdBUK8vfLcbYGuPu9DPReUfv\nHQVlv4LF65IovjR5oRD6lWnsV1c4gw//9f+t9hlfMzSw/h7N/nBEMK7OmGO8TCnSLRavIpV5pQXi\nRRoqbHpP351J4N7tcM1odiQmh7j89B2aKrTSKEBXE5szO2QAzjl8gBoGap1Q9Ugx/ro/DfBrrdwe\nI81AWqJKh4blXTpX45u3hPtsk1YptvSGxzI0y5AiU0ugpBmplc2Z6b4qbMYRM4UV3AtzrYgtF1k1\ncCsH8IGiqlhe79y8dze7r7UZmsVtzBj+7ZfVPgMg9CNOKk4aNcNxBRa+5EhpDdOe19szNsrDyFYc\nrTVSSRiPU1M8BDQNqUapCamK788rURbJWUNlJDnDt4irwsf5/NBuihM5ehyRJICN7EbjrJpChNA7\nfFXMMrUa8e59e8pZXVrBJBHvnNI2Z5jXsfcQOlq1deThOZEyqC75Uv3Kg/F3r99hK2bGmTXM6mdC\nAcD7t/8UmTT/koBmcUx5OBlc2+msYXS7NaUpS9CUjIuEqKZ1AE21RG2G4Xl7xt7VhQ7fBSxVYo1U\nU9T/dqO8BzMiMNeK3i0rWhakc7gzAXyg+LAsA9YmeCa64vnLDxKsY4qkpPiSyWo4295Nfc5ffsI4\noFWxGkm1kaoCT2NomlUaiTk3BpTxzFJ05x2hDyQn3Fy//MJcqZUcl6wfpa3eJLtxB9KY/roewPia\noQFw7pJap9Wo7OlwRBzszi7A/v4SUVzfEcwQLcTIKoAmxUgz4XK7PZdzye5iS2ggMjNFD48M17wH\nNLU2mgolJaoafcls37w7+/ec07t+MFJbXHJBmvG3M4Am58zNXBH1NDvSCPjgfshSdNuR4ECaYnEG\ncUzlaZIzNJOzx2TC18b2zJAC4NVuwJrHVnIuNFMqCW+sHpYrIjiFkte7+JRy8wDQLC6Uhtk6+wrX\nt7cgwubf1wU0PnQEBZWGlcXV86UrxpmC0Fw46/Tnh47eOSRm5pYo9jSGZmFdBbUl10+bng3xXMox\n9KCyoQh4TUjp+PUHQ7tpnpiS4jWSpYHr6Dv54bOtQ8A3oVqGCrkutMxjzurWll+lVZRCiQVVjx/O\nuD/2DpGOao20hpqi/f/svUuPZNmVpfft87rXzN0jIh8ki2Q9SFYBEjRqaSYIAtjSQNJAFNDqmUY9\nFtQC9AdUBKRJoyf6A5po2ii0eiCoJKHEiSBRqGo1UUAVqvgovpnMR2SGP8zuPY+9NTjmEZ6ZbmYe\nyWtOsMENBJjIdF4Lc3fb56y91l6rMs8KCOZOG5YL8PkvvI3AyfZd7+7P3FYI56jmk32uH1q/cYDm\n1h7ukxfXvkdzOg2fCKQnJ6axfcB7wQs0NeYTuJyVMne2hbiXxvY+koZIyJmsBWvhQXaQd6c+pXUq\nuuqMb4Z3+wP4RIQUHCl6FIcwkYgHm+T15pqSA15mijNww8455UBmxXokqKCuknOlND4TQ6NSqVMl\nsF+Xm4InpYGK46OPlk8gLq2Sq+CcITTiCZdgAXxIOGB7eZoQvq5d/rjzTZedXdDaaSxy5ynj0ZMC\nGnCEFHAI3hvz3MHo0lVLo6nnjSf7mbp0cU5qDdMNm+wevEB8C2jKzn59LhkaeFHOnu7fVfAuEDx4\nG5mCEjTjW+AXl/eHa+acud4qIkCbUVkRQ5eu7SuXEiE4pPaQWUNeBubeXmwOVc6AL5QaqLYhNGX9\ndL+N95tPRmznXrh0ldZoc0+fdyL4E4flQgedrp3m3Gxtg3Pjp6z0Tzl8/PHPfo4Dwtl+5nCJ8j7h\no+FuA3NPIA+fN1dkJ+A8Z3tkl26IhBCw0sit9fw3Ob48/wrQtB5G2ypVM650MLGvRHaZcW6gYgTb\nEo+4F27mDdPkSGTUHM4nOrY4cFbHQKyCMaPamNUwswed1Z11bdQmQKVNhRAjYc/Qb0geHxImxtUB\nmftnrVIzc4HgwJySTpgtBfCl3/si4oyPNqeJPbh1OPtkPU5o7uH6DQQ0FblnUVIknqxJmhmYsXrz\nreNf/CtU8AEf+9RMZ2MuGV14L6jkmYaCj/tp7JhIY8K1hlimFP/agCY3I2hPvnYt7g7n/ZWCxyXB\nXERsIjbPB5v9zeX65prcItFlqhi4NetROdgkz1fECioTWhqzhQfv0LTWQe22FNBGyQ0fwl56fkge\nlzwFz4dHrGo/S+UyM03Wc4tojCeVTe0GCNKoR5a6P2vtb5LxZE2yzgWc8CSeeE8hBsIus6KcyOK1\nNkXV73VDAojrFUMTtG3ZTv5BgOYWFNzmVXjxzDlDNZzTg7bNPTDXkWRk9oqvhVEGfrwH0GymDrSc\nNrKriAxELweY3T4pd0mwCZxlwL90h4zx+Oe6mwJUcvbUusU3WB0wiXhyNmDeo6aLZy/kWruSTUrf\niztxXgVAEoepnmT/1Kx+TJZyW6c08Xn35+/haFxc7N/tWqJCiHjfRVOtchIDn3y1oeBwMexnaNJA\nSgkpSrWZ0uRB1s2vzmolV4czI1vGqbDaI83q5QhRcTHRTBAKAyO/eLH/jJvyxDw7gkxUcUjogOag\nI+l66MNHzd2ER92Dh4+lgA+V1gJqGcsNlwLe7wkcjp7oHUUcN5vl5eGtFUpWnCkEd9JsKYC3v/wF\nBPj5O6eRh5uVTzE08FtA85lqH6A55bJhqQVzsPriiWlsH/FJkABWlVzy4iF887whI6gPnO9pkk4c\nYZWIlsFmcvGv1STNjKw9tK/ZhFQjrA5/iIN3uCAgEbOJwQU+vLzeG655tbliKoHEjCKIJFbxMEMT\nz1YkU5op26nQ9zgfBmhyBh+UWh2OQpsr0Qf8Hno+BkdYjyjC9QkATW2FUozgOqOXTpqM3UtMyHsu\no79q3Udjw2mbZG0N74WLeNo9BR8DHsPLLrPiFAxNq6gJb1/sBxhuTAxmCDM3O0DT2uEl21ehmrCt\nrUtT2gRFkOBYjfsvPyKOmMDVkW0wgk6MOvCjPYzlzXTDZg6sNDNHxepAjH3Qs6+8j8Tkcc2BTpjC\ntFvQfogxwN2w3LltSE1ZXewHNOergCNAY/EF4qZKy4KXzlKFYeCQa+MSFXdeuLOeBtDsO6tPNXz8\n+c/fB4yzE0twg/OEJHgx2s71cum6vvyQLILE0E167ikfEiklfKvUMqMt4EM7+nv/cYam/4vaMqE5\n/J58Oth9pj3EEGkIwU0MJN47AGiurq+YS8CzpZnDB8fqiIHPuEr4KqhlSmmUKjz0rL79TDf1NJ1x\nrZJSxO0BEil40pDIznF9CjVFLeTc8E6waKxPfFancY1gXL/3/kme36Xh9w0qfgtoXrv2MzSna5Lv\nvPcuAqze/sJJnn9bXrpNqRMPtTLltngI33xzzSwCLnI+7gc0w3qNbw2hMJfwYEDj/a5JNhBttFYI\nKgcXDaE3yD5AGag2MwBqnuc3n6ZNzYzrzTU5B4LMFAR8JMUDi4ZAOjtnMO3ZC/NMc45aHz71EV9R\nPKZzz6tIA35Pc3IOxuGMJoHLy1Ps0FRyNgTDorA68dQHugTM8r8+NHarGY9nHU65p+AJqQMavEFt\nbOZlLz9mSm2KiefNPfauAD5FkoJpYcqVvFueP3T5uQtoptKt2Fud8bOD6FgdCL0ER4xCkDUbrwzM\nDJp45/LqXkZgs91wtfWsrLD1humwe+39Px8fEm50hOKwloFXLnLH9mheStJcZZ49c90S1Rj25HMB\nnK0iLiSaGZuFp/K51p4o7hQxSCe2YgcYUsJQrk+wR3PorD7V8PH58+eIGGcnlZFCDAkX3EtH0lNk\nxm2ur1ECFtNeYwznA3GM3Y69FZq+7vBRKeqhKYVMrMawxw0MdoyzF0LyNAnQtgxEPpwn6j2HaGuN\nm2nC1OGsYCQk2lGWIq0GQvPATMmvDHy8f+BZHSq1BsQytEJMA37Paw7Rk1Ki4Hj+fNkdUTVDW2Ga\nexwHwREfIc/QYVx/cBp5+CfNe27rt4DmM9Svg6H5yY/f6YvXF6f1tvfO9yRq57HWmKa6OEOTr64o\nIkj0rA9cRsbzFbEpxpbNLA+Sp3yMxm4OaUbWGaoQj1gVeucIQVC/QtqMM4cT4d0Xn2YE5nlmq5XN\n1pN2gMalwBCO0dhnRC3gYJ661WsuD/O3LwV8rFgLtNaQVvpFdQ+NDXB+tkZdYHu5PI1d6kwu4AXM\n26MwNM4MPcHSJPx6GBpTxXwg3J8ht0iJyG7/SPEOrBqbhS1em+6YFom8scfoA8ANI8kAU3JT5txI\n6TUATWs4hNJmfAWLjtWBSbiIY50EJytmr4w0oka2ecv1PRkJV9s9jdwIAAAgAElEQVQNN1PkzE1M\n3nBtzZgOh+X6mPDJMaijac+hmXb7LccAzW2+Tq6VUoRSM9EgHmCdzsaAuQE1mPOyl9hbo4/gBKe6\nC0g97RE9jj1c8+oRAc0pGZrrj67AhLNTfqjZycMHCAJahanMi8v2bm6uKDgsJcKe9+NDZFiNhNow\nN/dL/GvIw80aRaGWTLGGp+01urmt6D0+sMuXyoTq2AK/fPFpOfJms2EmEJthMmMy4KIn7Nmnva3h\nfMWgikol50LRhxv43AZg59KHj74WhvWA32MYlKLHD4GG5/nVsgxNM0OskecG3iHRHWSclygRhwBl\nYXB2W58073n1ur8FNK9dh6c+p1lu/MVPOkNzceI9BYdHBo9DwApFl8+suLx6QcXhYjxoh7p+ckaq\nCjoxTa879WmU1rclq2aCOYbV4e+d957glSAjWWqfZhj84PmnG8xms+GXteFqTxIWAuKF4Zgu98kF\nQRXxwpxnUvBMDwzsumVoavUgE65lhtW4l6GB3WXBjKvL5RcNW+vTXC+GemE8cZOE/vvJicJefx0M\njZrhYuzuWyesmAYCinOC5cZ24c9000Izo7nEkz17cdAXiIcGDe37ec0flafcBTS5Vpx0uaOrggye\neNCxR4gJImdMVAIFN3tq2fLhPQ48791c4YtnkMbkFNOBVdwfwAd9Qi3JEUv/HaLqgxmanCElmHND\ntVGtkZqRDg16UiDGiDrYLmzVW1pjs62IExxGGtLJGZrz8zWGcX0Ci9dfB0Oz2dwgyklZV4DgAhI8\niNJyDzleevh48+EVTQJxWLGvRXnxhLOBpA1hIufX23ettWHeU6dKEyO0RjgyuI3BE5JDLKJsiQbm\nHH99jwPmZrPh3UlBBGszapGUIBxh0MJ6TTBQUcpcKCqovp6aomZPsS2hGeP5uLfPx+CI44jiuVlY\nUt3MaKVSS96Z3DjCPXKtpUsM9ARSdzjE0Jxu3/Wh9a8NoHEu7Pyxl2/M777/AWKwPrE7hXMeS54I\nOCnUYounit9cX9HwMEbigaa/ujjvUxVmtsW9/qKhOVpRCoWYjXB2GNAE7/EegiYm3wMzz+PA//PT\nX37qa7fbLT+8KSQzjIwSkSisjvx8hvU5SRtOYM6Z6Byb8npNsk99JnxThnXs7m176mw36ZoXdhtR\nsx2g2RnHJRjjIzRJB3oCrTjcTn0+/Tsi4k/H0JgSwmlDzgB8WhFoeK+06hbPrGi10gCc5+KAQ5FP\ngSgeUUdtW1rzuHj4c30X0My1IQpqM7EIJLdXlw59uJCi4WRNCUqkEkSoufJ8+vTP9L2bDa5FklRm\n31BWdLJkP+B0IRLGQKqgVmjqmB/I0JQCISqtSg8ktEZqQtrjXAgwpECIjoJws7AjUqmVMjec71LS\neGLbZoCLi6c4OR1Dc58E2LnhZAzN5noLTk4OaLwP+ORxXqA0prz7DC5YN9dXmDj8uF8CKSKk1Yiv\nCsxs5tcbPk654ESYp4KJMbTKuN7v8gcQgsdFwRiwmgkiDN7zF7/4dAjy9c01f3edGcSjOqN+JHjD\nH2Fo0tk5g1YwZZ4L+NeXh5fiqbrFl8bqfP97EoH1+pzqPFeXy5reNDNqMay1zhANHnfiz/Rt1e3y\nyhAA1fJbhmap2gdo4HROZ5cffth/6U9MY4MjpkgAnDSmmcUZmpvLKxoO4riXxgYYzs8YDNQymy2v\n1SRbazSEljNVC8ka48XhJuldwCVBdCQ7I2jlrfEpP3j/Ay4/Mc398PIjfrKNrB2YzhgJF4V0hKXw\nZ2uSGNKgzjMex1zLg3S5tzR2KQG1CV+VtF4dbE5nqzVg1GnhC6wZpoV5bogYEoV4QPq2VDnxtBMs\ntMOvSZcrhhzYl1iqYhoJ0hAnaBXmhUFhraUnaEffU6/3lAuB5AVVo7Qt2sJRKenHAE1reBVMM1IM\nhi6n21+OlAxxawoGmgmqGPDTT7CWqsp7VxNRIWqlOEV0zXgkrwLf9e9xt0Cszcjt4QyNCxXTgGqm\nNkhmpAOSszEGUko0ES7vkcP+KlVVmecuTRRrhHh6sP3mm29i8MgMTewW2ydwVislI5xecuZwuOh7\nWKwV5lwXdyS9eTEBRjgi1149PSdWBSbm7BD3cHn4tinJezbTREOIVNKTwwxNcIHgDfyI2oxhvDVc\n8NfvvfdymHBbv/zwOe9uE2fSyK6BjSQvR2VX6eycqBVzkOeMc478GQDN3CZSM8YDRh8A52edoble\neN+1tIYzeZnD5YbYd6RPXCLQpu3iz+05M3Zv3t9vAc1nqEOA5lR7NFeX15jB+YmnPiIONwx4M8RD\nPoHF6/TiiiqBMB7WyaaLM4ZmNGvMtdGsYnY41+G2SebaEOeYp0oTwbd6tCl3i1fB68jkDGeFQVeo\nZv7q/Y9PTb73wfvAmuC7Ba3J0PN7DkjoAPyQ8F4QM8Rm1Po01zmOeve/pLGLp7AlFCVerA/KlS5W\nI5hDF14CV8Bqo2RFPLhwOHxwqfLewS4PYMnqzOq+y88pm6SRxtPauwLEYSSgeGloNjYLZ1bM0w1Z\nBCSw3pNXAV1vH3xAipLL1Bma8HBAk5siahQtuAZxSMgBS+WeKg7iVlTvcDXjvBBV+NGLjwOaUgrv\nzzBIQ6wyO0P9GWMyDh5TzjGOCdesy3SrkvXhOzTd6S0gtiU3xZkwHLCYH1PAp0gRx0cLSzryLq9C\nnBGopOH0gObLv/sFEOPqBCF8+z/TsvtcL8/2lp6UytmpGRrncTEgziGtkostHph7vdmCKcNw+Kwe\nL9ZdStp6gCWvMXzclkZ0nk2eO6CxxnCAzQBwzuGD4W0gO0VaYe0vmLaX/PD6VTNRVf72gw8IckHQ\nwuQNaZEQ+zMOVThbE1rFO2GeJ4JzbF9j31VcpWRHrhODwdnF4cHVatUX6eerZdUUudYeSEwhIH1H\n+hEADYCeQB6+b38GfgtoPlMdZmhOs0ez3UwIp9fl3obwBQPnlFxk8RC+y4+uUYSQDjdJNwysVRBV\nalXmUo9eEG6b5JwLzjtynlERolVWR3IBbuUpgRWzU5LMuJoYVsL//bNXbh21Vv72+QuSO0O0UqVi\njMSohCOXeh8jLji0CE4nFPdyn+FYoywFcJWSPaXNxAbjkeXJ8/WAmqMtPJFvZtTc0FZxrk8K9y08\nLlnRB4xGXtji9dbX/j5w2CdBdhIpKQLhzTeXf+4nKvqE84YXwwqLMzRl2lAdED2rA26CzgdCEKQq\nk85UfT1AM7cG2g81XyGk1G0N978iwyCIDPSc7AmcZ7RPMzQ5Z57fVFJwSJmpDpyMrIfDpgCIkC4G\nYlGMQqm8tMV+KEPTmu9BnsXwzjMc2aEJQ0RxXN0sK+motVBmxTlFUNJw2rBcgK/+4VcQZzzfnGKa\ne2j4eBrZWW0FJ5wc0DgcpEDAoVKo1Ra3Y583E2aOp+eHge1wfkZSA5vZZt8v80fc/cy6XHkqBY9Q\nyoRrEBDi6vDrheAJATwDW6fEVkg6gGv8q3degfztdsv3tjNrIsEqczCsDoRkR8/qdHFOtIo4T64Z\nj2P7AIbm9r0plbkY1SpDhfTk8Gdpve5qipubZX8niyqtCGB4M/xwehkpgEPQcoohxf1KCvgtoPlM\ndYyhOUWTnDdbxNzJAc3LED5nRBRK5SYvLDm76eDsGGPix5HBjNpsZyfaDlq8qvbLwzD0HIggnmme\nUIOo5QEOcY5VEpytmHxjsIKbhbOV47sfXL7UeG82G763LTzVEa+Z+dbeNRwO4IO+oxSi4KybCah2\nGhsOA5rW+n9zoVKro7QtSY3xyCTryfnQGZqlL7Dd0gprEyIel+KjAJoUAmLKzT0OVb9KHZr6wG2j\nXLY5mxkInH3hi4s+976KccAFwQmU0gNzl6z5+oYi3bp8PMDQuJ3un6LkOtNqwL2G5Ky0huCoOhMa\nxDHslrjuLxFHDOBjB/amGcQYZeT5zfXH5CnbacuLbKTgEcuYCMrAMBxhaIC4WpNUaVrQBmX33F3E\nyt6cnVtAU9WDzbTccMEdBDQxCj4NKJ7N9bKAprTCnAXnFW/GcGITGoDP/e6XEOCHP/7Ros/tLK7i\n9uwYnsoYoNUG4lj5U5/VHjdGohleulRw6eHjPM1gwrMjsti4XjOY0awyz/1/Y4R5z4D+bgD2XBve\neUqdcGY4MYbVYcfM4AI+CEEHtkHxUpAcuVh5/uKdD1+aI3x0fcMP5sozGwhkZq9YXTFGuVey9LHX\nWJ2RxKAJ6AzmO/jyu6Hpnvd226/mUtGqzFUZrDGsDn8P16sVgqALxxKUWsmTQmg4NUKKPMa124nv\nia8L1779GfgtoPlMdWyH5hRNstS5X34eYYcmpIjDusVfNTYLS842NxNiMB4IzwLww8AKaAZNZ3JV\nUrK9jWS7hXHs0q1NbQRx5LbFnCepks4PT0hEPDEK0Z+RpZFcxWZPSJF5c8X3LvsL/+LFDS9ojDUR\nyczOcC32i9MxyVmI+ORgFkRn1IxpN8UYhv1NcruF1Qqa9UTxuUwMTRmO0NgX64jgabosw1BawxSa\nNTwC6XEWDUNIGLBZWG9/aOoDp2mU22kLYpz/we8v+tz7KriAj309WuvykrPNzTVKxKVEOhAS6nwg\nxoA0pbKlFA9uv5TUrAOCVy5nDQ9ULYQixPXAXvul/ooE35fbGwFtGwwhtAGtWz7Mr170vetrXI3g\nQHRLM1BZ0V/iCKA5XzPs0u5zqeTaZZEi/fKzb1pdyi1DE2g6o6WCk715FdDf7sXZugfmLrxDU2ru\nAb4G6pQxnV5yltYXOIybd99b9Ln9nN7fj081fGymOAmkE7dDEYcf/Es1xVyW33fNuWLmeHZ+xCF0\nNTI0Q8yYS2MuldUKNns8K+a5n3cAU62IObRusepwzjMekTqKeFIyfOv7ris3YTeJMAjXmy2/2PTv\nw9+8+yHNKzJHRumARiwxDBwFNH5MRCedSdIJRV4G5q5W/Uy+r6apv7dSFbVGaZVUIR5xWb1YjZgJ\nunBvLrVSquLpzoVxiI/C0ATv0IWHgHCMofGYtZPsxj20fuMBTdPGz69+DpyuSebSM0seh6HxRAPx\noKWxXXi6P29nFOHp+RHJ2WpgJQ4UqhVa9QyrtrdJ3l76AXIpOHPUNoMKESUdAVA9VdwQd0YWJbpM\n3TTG1VOYXvAXz/vk5K/f+xCJDq4dQ8jM0UAHQjDiERrbudBBTxXQTFPpMho4eADcvrdcK7UZxZSo\n4NdHdLlDAAlYM1SXO+xyrZTZMGmIsaOxT8/QDKsVZsbNwoDmLkPzy+tf8sHmg4/991MAmh98/yc4\nID17a9Hn3lfBR3z0ODG0CaWWRReINzc3NBw2jIcIE5zzxCHiqoLM5Oqpuj9cs5RXk1yg76Y0IbeC\na5VxffwzHXwfNCgDJjNYJWii5ulj1s2/uLoh2gAmKFsqHh8CQzhs2wyQzp+QrGAYpWSyyUtGb5/s\n7Ja5MdlZsZOx0v+u7sjC8vpsjfrI5dWyMq3WCrmAE0OCMT6G0YdPIMbm5+8s+tz7Bo8vphcvz+qT\nMTRquOhPbsUOrkuY6VlgpeiikjOzroxo6vncxRFAMyQGM0wbpSm5NNbr/Zf+zebVWT3XhhdHLRNS\nHUQhHnHM7Gc1eFkxSWPwM7pppHEkb6/4m8v+c/3zn7/Lan1OuTGGkMnSUFszDsc/026370oF0a6m\nmHeA8RCg2WxgvYYpVwSlqpAQ0hFA8/Sis8i6MCgtqsxzw0nbWbE/DkPjnQdd3kq858X13493rt+h\ntFfNte/G+cXVFK9Tv1GApn+j3MtmpaZ8/8Pv84urX7Apm5M1SdU+bTq1LhccYYh4jOgMK8pmXpjG\nzgVTeGN9pEmOAwEHuTLnLWqeONQHAZptVTyOUraggvfCcATQgGNMhmNEHf3iw0z0b5Bk4m+eb7ip\nyp///D0uVhfYpjD4wiwN05EhyV7m7uUr+EAcPL4YWKXVV4fQen0c0My59WTlVhlUj059VoMHSWhT\n6oJAu7SGVkVcI+jjTX3W4wpheUBzd+rz3uY9fnL5E27yKznPKQDNd7/3IxDjjbPDssElKjiPT+AE\nWjXmUhY9aDbX132h9wjAduLwQyC0jMlMnh1V695wzbtyMzOjNENrwwwSSlwd2/GQni3lHLEFbgKM\nbotriZw3/Pn7W/70Z9f86c+u+X/feY7XCFZRMljChcCQ7OjvdlqfEbTiRMhzprYewgf7Ac1tBk3V\nypw9PkxQKhL8wbBcgNVqxMwWl5zVWphy6wGsHsYD0rclyxmUF8saHHwS0Ex14ocf/ZB3b97FzE42\nfDRTxJ9eqifiCCkRMJwHacrm2Cb+a5VSa0NxvLk+cq6NI4MaatCsMJfGONrRSz90eaaIoDrjCkgU\nhiOAXsQzBgFWFN+ITvBlSwzP8OWKf/m8G2z85S/f53Nnb+NqJlgl04Az1kfy4qCrAXx00DxoxqyD\nLzgOaIaxUZsgWphbI6kRj+y7PjlLoJ5Wlo3+qLUybRvOOcQ6oHmMszr6hBlsFpaH3+bFlVb42eXP\n+O7z79L01R311y07+w0DNK+apJnxdx/+HcEFPnf2OS7ny5M1ydIaIsLKn3bqI+J2qeINJx3QLM3Q\n5Fxo6nnz4sgOTQqEEBFVihVUPWmsbLf3a9LvApqpVkSE2iaserxAPKLLFXEMycCtaIBYZbAtkle4\n6MjTlr/8cOL777/Ps9VbxLbFO7oVZLsFNEemPj7gEqCOajOqvNyheRCgKRXVRlPtAXzD4fc0JI93\nsTfjspw2t7bGtFW8dHlKGAbuy3tYui7OLzA53Q7NVCfUlK88+wo/+PAHL6c/p2iS7//iF6DGeXwE\nd7gQ++6WA5u7c+GSkHDz4gpzgXhEoiQiDOOIV0WYmPLrAJpGVkcrE4rhtZCO6NL7pU9w0RFaZOuN\n0VVc8aw181cvZr71yxu+9csb/uqDFzyxkcFlJqcEixA8/U5/uO/G8wv8rkfnMlHMoXqYobkLaErx\nODdD085gHbnQrcY1gjEvCGjUOoub5/65xivDQUvsBcsc5WpZu1qz9vKsbtr4/vPv8+UnX2bwAzfl\n5mTDR0ORA2HHS5VIl0N7MZwpOhs383I9qmmhNkMl8ubZ4ffjVwMrFdSE0jK1CWlsDwI0kyqi0vfP\nqqHekY5mmjnSIEQ7p5s9G0m3RP8M1za8e5P59s8/6tJxu2DQDU6UKoCsd5/pY2d133elgFhG1V7u\n3B0DNGmsaAtgE62CRxgPZEsBXIwJCFirizIMuVbyXPHBEFPiI+3QhODAdHF5eGdoEpfzJW+s3uAi\nXfC9599DdyDwt4DmNeouoPnxix+jpnz12Vd5Ojzlcr58KbtZmvJStX4ZfgQaO4yx2zY7aC0wLbhA\nbNZotWImvH0M0AyR4D1SlbnNtBYw2b9s+DHJWWs4HK0UKIYFYTh6yHjSIJgkmgB1RqLhtgFLEMrE\n//7j56g0gvYm6YHJNVTXpCOJ4rBbig6O0EKXnGUody4+zt1/sdtu+9SnVEEsUwyiQjjSJFPwSPKo\nGTcLugjlWpmr4T2INuIjOac8ffMckBM0yfllk3w6POXZ+Iy31m/xgw9/sNuFWL5JPn+/y9ouDuyc\nLFUBh0sB8R2oT3NdNDD3+nrTQ0IP5KfcVlqNBG2YZLbTK0Bz36X/LqABpTSh1YIZDK0xPDnObqWd\ns1qwyLUvjK4hJYLOvEnmTSm8KYULMqNFhlC48UpSD04Y/fFBRV+KVhyOmgvIK7OPfYCmlDuAJjtg\nxtVCSMPRfbSz9YiznmW1VDUz0MZUdhfk6BkeQXIGHS7KZtlAwbtn9Q8/+iHn6Zy312/zdHzKi+nF\nbvh4AltZuqHN6Wtn4GMN78FaY7vgEnZtmd5mA2+sD/8e+HEgOr9TD0xoC/hdYO4nVXCq/Yx7eVbX\nijRQCq50yfvwEMlZMLxfkZ0hNILLyJSQKJRpy//54/fxSZC5GwKYVVoAdQOrB+zQOB9wwSFFMKtU\n5aU8fBz7e/hkC621v18fu1TP2kybK8EJ/gjbOY4B8QFt/Xu/VFVVcu3ZUqCkRwjLBUjDACwPaMy6\nKcDlfMmT4Qm/9/T3SD6d9Kx+nfqVv7Mi8rsi8mci8lci8pci8o+X+IvdV7dN8meXP2Nbt/zhm3+I\niHCezrnJN6jpSViahsIjHC4iQowD3iriFS3GdkEvcdVKrtqnPueHp5AhDcQYoBqNLbX2y899TMbt\nheFuorgzQeuEVNtNWo83yRSVEBKNPl2REfyN66GZdcNPPrwiDILfeiSBa4UqirnVrkke/nUW7/HR\nEZtgFOYG850P/H3vbZ67M63JburTZnK1HsB3RHKWgiclT3HCzYKpvbU15qngTEEgjcOj7NC89fZb\nILBpp22SAF+6+BLeeX56+dOTNMnLy2sE9yiAxrlAiB7EYW2i6rJ27NdXWzAID8gtGVYrfBWoE7M5\npnx4h+b2Y1trpeGYpwlweMsMD5DrBedw0QhtYCuNwRq+KW4YeP6zn/D8pz/m+U9/jESB2bOicOMq\noSacd6we4HIWViuStO5S1LpDWi6HwzVz7v/tVnJW24xoIwzD0f2L89WAIosG5ipgrTKXgjjBgrE6\nOilfphxu0UscvDqr37l+h6KF33/azTeeDE/uDB9l8eGjmBGO5LYs8jriCSngMcQblFcGM0tULTPa\nFA2Op6sjgdEpErzgslLqRFNPs3ovk3HXvAd2w0eD2mZcEzTAEA+/HjiGCM6tMAFXJxgCYdN3cFKb\n+P4Hl5yPgt94ZO1wdaZhKAMpHj+rndvJw2sP5NX6KudHZOem+gnRw+1QtWpFLaAyY0VxPhGOqClW\nQ9+dU7O++7tQlVqYZwVRHLpTdZz+zFntEOvNgmd13wPuA6arfMVF6s61X3n2FQB+9OJHv/mABqjA\nf2Nm/xbw7wL/pYj8mws891PVv1Ged2/e5Y/e/KOXkzTvPOu45jpfn4bKVj3ofLNkpWEgOsV5o1Vh\nWlCX27RQGpjzvHXkMu5CxEVPKG3na+/3Apq7FDbA3BSx7gpGdeCF4YgDGbhuV508ph50wlJArzPj\n6inz5gVPrHCxcriNQ6PD60x1htnIOvVnHH4JRxoDwQSzTK1GsVdBkfe9t483SQ/M1KIInvEYoIme\nFEeyOD78aDlJR2mNPLeu3bbGEByP0SS/9LtfxrBFJWd9P831tPJ8/RLQAHz12Vd5Mb/gOm8Xb5Kb\n6RL09GG50C+MkjzBBUQLObPoAvF0vUWAs6N7arA6X+FaQ63QVMhFHyQ5y7WB85Ta/3/JjPgQQBM8\nLhiJNVtf8aoEa1x84Yv8zh/9Gy//PPnSl/GqDOju67rV9eDdUYARViuCE0wVbELNH2VobiVnc6mY\neQoTsRlxfVyudL7q5gW2IHteVbt+vzacF3z0hEcK4Ot2tcuyJWaVuVXevXmXr73xtZc/w7N4xtxm\nSisnGT6qQHxy+rDcW4bGmSIOtOii7oXTvKGKoG7g7IAVO3RHsOAi2oysM2aBqvcDmk+e1bl2Y5mq\nM645JAnhyF1HxDEOBn6FOkHajCYHG0GikOrMWbthdTbCjWKDgzahzuPcyHpQHqKmCIPHch94tfpK\nHg73n9W3761qN/oQCtYKOIc/kM8F/ax2fkDF2MzLycNLK5RieCfEZgyPte96vkLRRXdobvdntmWL\nE8cQ+v1HRPjaG1/jo+kjqtpvNqAxs3fM7F/t/vka+Gvgy7/qc+9/rd4kk0+ET/jb305+TtEkDY5S\nlktVjCPiIaiihUUzK0qdUFUaA2+eH6GxfSSliNOGuUwpr5rkvkv/q9epSDOUjCuGDO5BNHbYWS9X\nH1CbUO/xuZCGp8z5hpivezr5DWhyeM0ogslqZwV5HNDEGPBFMM3UWilNuF0gPgpo1GOasaJ47xnG\nw5efFLqrVGNZQFNbY8od0Hgz4jg8SpP8wz/6AxDhZsFJpFmXm13na1Zh1d1ZduWd59n4jJsyL94k\nyyaDPA5D451HhoCnJ1jnyqKp4tN2gzXj6dkDGJqz9W6BuFFMMXV7wzU/Bmh2OyqlbcEcAWM4Ox78\nGLzvTme2ZpJKUCWYUT6Rr1VLI5gS1Jhcw9kKH40Ujk2Lu8uTc/TRmk3Aq0HQUUCTGyaOUjOuNOKR\nvSCA83UENSjL/U72bClHLblnnITHSxQPPoAua7dqVrkpMxfpguRf9UkRucPSLC87E4zhydNFn3nv\n60g38IlmBGdodYvuu86bDZMJXsJRQBNSIniPL42iM7U+HNAUVVx11JrxzfW8rCM7ZOBIiW54I+A1\n0zzITWNYnTNtXhDyNevVM7gpqHdgM1UdEgLpofuu0RObx6zvE813AM2h93YLaJwraBZ8CPgjkvcU\nPCEEigpX+5ZpP0OVWpgnj3cG1ghpfBx5+PkZIsvKw+/uz9wdPEI3nFnHNVOrv9mA5m6JyFeAvwd8\ne8nn3pZZZWqVVfz0JPJukzRbdpEeM+QBB90SFVzEhY7otRibBZtknieqGnjPxXBk6hMTIQVCLQhb\n5rxfcvZJQDOrIk1omqHsGJqjgMYTvHXdrA5dmtM8o25x9RwJcH31AeP4BKZCdYLTgnowNzI+hKER\nYUiBaB6jh4VWc7QD1s13m6Rp6NOiXAnijoLcEISQRprzfHS5nEZ9roWSDe96+nCKgccwBfj8F78A\nwE++/+PFnnlrCPBievGpJgmwCivmEzTJuczYY0nOxENMeBO8GPOsi2ZW5JxREZ4+gF0YxxWpNZrp\nboHY48L9yeJ3Ac1cGuCpNWMYXmxnRnG4gtsBGlZMrhJKxbxAhncu//bln5wLwRSvjclX0JEQjXCU\n2d31quCQ5nrvt54qDod3aHxo3b4ZmNuMb8rqyF4cwJN1wuiXwKWqtIY1wdoMTnDxcbKlAJx3oJWy\noNfH7fDx0Fnt3PJqCnNCfPvziz7zvurWxUM38HGGFhaVh883V1Qn2BAYj0jA+m6ox5pSZKLu7Nj3\nnWe3Z7WZkZtiahSb8FUI6XBYLtyxbfaRqh6xmWqeUGdieHl93IAAACAASURBVMb25gWNjOcpg04U\njQgTov3vmfxxGWl/T+DVYczkurON39U+QHM7fCzZ4/2E5EqMx50Lh+QJMVKdcH21nONfrZlWDbwh\nTo9m/CxVF2+9hcmyjqS3DM19gAb6WT3V8q8HoBGRc+CfAf/1jqlZvF4CmvDpJrmOa/JukW5xhsYZ\nYf0YNDbEEPHRcKKodoZmqcyKadqQRZAQOD8CaHqqeMCpgs1sdxav9y3P38vQWA+Ki026t/1RyZ7s\nGBqHEClO8XHG1wxlwGK3pIz+GVEnGmAtU3EIiXE4bu8KkM5GXOt2x5s5I+6Vv/0w9EXDu3fNuwxN\nKR7n526Z7AMhHb5AOgfpbEUzz/XNciF8tRXmGWS3kBnH9ChTHwAU8i+XAzS3ls2X8yVPx09PVldx\nxdSWb5K1FHgUK3YAh08OL+C8YcXYLDjdn+cCJrxxxOgDIFycE5vSMFrNfS9M2ssQzbt1uzgPMJXa\nrdjrBikdPqcHXP6dF0IEL2uyV3yZwcHn/B/w5vp3X/75fPwa5iC2xuwqpiMxyMcYu/2vEXDR4bND\nbMLMvXREirF/nj/ZQnPuoZraAmihtEaoynDE3hVgHAJGpC1o7JBrpWbFpODE45J/RIYmYtaYFr38\nVKZW7j2rbwENxEXPalXFgNWXTiIQ+VTFYUUQRdxOHr6g5Oz68gVVPC4GhnQsMDoRk8MXw7n8MXn4\n3Uu/Wd87ecXQKEW7G1bVgrQdoDlqftTl4SEGmgaaFiQ1os54O8e8QhKoK2KdIBqtZcwPmPekeJyh\nEe9JoyfWrqbI2ShtP6C5a3Zwe1YjGWcVN0TckftHV1OkxeXhtRWm2XDSMKeMj+DAB/A7X3gbTBaV\nh5sVjMB1vn65P3O3TnVWv04d5/MfUNLtTP4Z8D+Z2f+87+v++I//+OU/f/3rX+frX//6a72OWWWq\nhTfuOXREhIt0wU2dOfcL63IB/+S4vGKJij7houAErPagODVbxGFtur6kOoe4yPqIXa0XT1glQgOR\nmbl0QAOvpFkp9SY5z33R8LaKGRFHJeOa4MbjExJwxADee5J6th5WTrFo+JsAwSCC1DWhfIitGqYF\nFQ/B0/HZ8e9RGEeSbXDqmOqEk0gujVu1zu17e/KkN8lSOtCpuZKLx/mMVgXfD5Jj9eT8jJ+I5+rD\nJac+hVIE5wVnjfRILme3tf3gg+Nf9MBSLRS1fgDHT7OgYxjJraK6jMNga40//ZM/4fr6Ep0i/91/\n9p/y7/+jf8R/9A/+Ae7IZPKzVrcvDgS1bt1clU1ekKGZc08UXx2/AIf1wNgMtdoX/Zv/mHXzq+lt\nBwK3iq+5Vbx4is5oEyS4BywP7zJ4fEFkpDkBnTFRXHGk8OrnXcsEXnCbTEmNYGfECN4d/7k7H3De\nYU3AMg1hqreW393Uo9a7Bgf93ysV1YC0ymwQ1Uhnx5n4MXkMwRZcuC2tUZvhHXg1GCL+kQBNSgM3\nk3FdlSdHLs8Prduz+j6GJvlE9JGpFQa3nPTynR/9FAM+9+UvLvbMQxVDwnl9ydBMCzJ2m+sNzRwM\nq2OEyQ7QBJwWkFtAM+F9//zO86sl+pReETC5NhBHyQXMcEa3FT7aB4XgjRAc2iJatsQRXJ0hv4lE\nIIDMA6KFONzmsCXEC+MDbJtxu55pAlRKM4rucobEvfws37LId80OuuRs1eXMrXWG5pjkLHpCSkw4\nPvpwyX3XwpwNj4Eo4xFr/aXq9/7g98GxuORs24RVXN07aFqFFe/8CoDmW9/6Ft/61rd+pb/jIoAG\n+B+BvzKz/+HQF90FNJ+lVAvbmu+9+MBu8jM9Zz0sLDkDxmdvLv7M+yr4QIx9mtuqMeVGY5kf1Pby\nkoxAigxHdLlOHH6VCLtdmKkESvs4oHn27NNNEiA3Zd2s63JLxJ0L4g8flCKOIIaPDqmJOU48o3GT\nBK4bZ7/3BnncInNEqPjB03SihYiPgT5YOn4hjas1yd5FcZS2xUhMdyiZu4DmbpNs1qgl4nxGshKS\nexCgWZ2foziuXizH0JQ6U4ripCEoQzp9OOSrEvLlkpkVjcu8vZfCBnbLhyNTfcHF7jD7rPXuu+/y\nzW98g3/4ne8w/If/CefzxH//f/wvfOvP/oz/6p/+U/7bf/Ev+Pznl5eriHhcSjs7dsVKY7uk5KxV\nzEbeeIDkzKdIMkEbtDLRNN0LaGrtQOB2jjKVLrOc2xZfdm5GD5g2+rDLk7BIE4fajDqH5Y9fZG1W\nTBR0ojgBTVwEHiQ5cyESR4crirZuS393gfhWdvZyH+hOBk1rHtHGpJXUjOH8+OBqSB5PQBfcg6qt\nsd12+ZLH8Mk/inMhwLA6h0u4KksCtAlDPrY/c7eeDE+4yjekYbn3+L3v/xBMHol1hRiGvsfoGlaF\nTV7u3nFzddnVB6v1UcLkNo7AzQ1HZs7uZdjhLZMxDPeY99S6UyhkaOCa9r3QIy94d99VcqK1TBgC\nGiph64jP1jjvcO8bOjpGCrMzQgs0391MH7LvmpLHN8GZMeWpyzy1EbsH8sv3FuPH31vVSs6eQpeR\nhlXEuyP3HdfVG43AR9fLCIzUDK0d0KwEJCjjI2VLffVrf4AZXN5sgWeLPNMsc5XZe1av4oq5VlQ/\n2+fgkyTHN7/5zdd+xhK2zf8e8F8A/4GI/H8i8i9F5D/+VZ97Xz2kSV6XzaI7NH1RUhje/txizzxU\nwUckOpwoVqUHYS4kObu5vqHhsRCJR5q+iJDGgVAbrWWKCrl8etfkk02yadel11ZRK0iDOB6f+og4\nvAefDG+JSRoJowbBbjIpnRPGhN94NEEYIpp7QBve7y4rx3+dw2pNbBURj9YZkUC+M2m9uyN0V0p3\n2yQd027qc5zGhu48JcB8teCiYavk2eGkT/yPZ/wsWAr1ejm2yaxylTf3ys1uq1PZ7VeislWVb37j\nG/yTb3+bvz9NVOcIpSLA358m/sm3v803v/ENdEEZ0atyuBhwKE4EWRrQVAXzPDuSVwHgYmREsWrM\ndUtr4d4smo9n0MDUGmJC04pUEOd2u1uHS8STguFY9Qg+3eKc0m4+CWhqBzo6Yd5RbSC9huQsRA9N\nEK1Ys5cyUvj0Hs3dDJqmHnRmLj0sd3gAKEzBI87T9JVD4q9apTWmuWeaiN0Cmse5mK/PzgDlMi8D\n0MyMbd2yjvsHLU+Hp7yYrxeVp7z7zi9BeTxA4+LuvIJWlbmWxX4fNh9d0SQQV8cn+t55wjAQWsWY\n2cz+pZrirjTrUw5npQGOqltahdgK4QFOidABDUHwNjC5SlJFE8hGiOPIOD7BristCqMIk289/y14\nugv1cUAzjAPe+j5ubjOI2+3y9bp7Vt99b80apTiqzvhmuDE+aB/tfH1GE8/V9TLDx2bdCCAXxTuh\nefdoYbnnF2eYwXvf/e5iz1QtXJXDw8cURqa63F3ndWsJl7P/y8y8mf09M/u3zezfMbP/dYm/3Cdr\nU24ONskhDDgJbMt2scZS84wBT37ndxd53rFy4vEp4jxYK5TSFtNqX93cUPG49eq4TBYYz1ZEs12w\nVbd4NbO9l37oNHZ3DZrB3GvQ2D3d1nvwOrJ1jcGMgpB0Ruoa7xJcVywK0YRMRjRhXhjDcV0uQDhb\nE6kYjta2YMJ8Z7K2r0ne6nIbBVrFp4g/6gYDF+t+Wbi5We5D3nW5ineGemWVji9nL1VOQPfFNH+G\nUq1cH2BoYBljgD/9kz/hH37nO7ycvzthvGO4cQb859/5Dv/bP//nn/k19pWII8RIFEO8oHlZyVlt\nleYcT8cHAJoxMYjvFq91+1Jy9sksmrv7M9Cnuc6kZxEUhcgD9uIAHCkKwa9p1sPuhlSp249fnttN\nwzsFzZg4qkZ62zj+mXa78E7fBLUe/DnfGVJ8EqzdMjTNWg8M1pm5QFI9uhfH/0/du+xIlmXped/a\nt2Nm7uGR96zsunSrWyRbPVBzIKAnFCBNpAEhgOAbkBMBegCOKPAhOCdHnEmA0A+gCyT0I5DF7mJX\nN6tIVmblJcLdzeycs/daS4Nt7h4efonjFVae7AUYItPD3Y6bhZ299/r/f/0/dDAoRXCnHmltbq0x\njtYlcuqk9Yrnyr0+fXmCubA9kgHNY4YA19csp0zaaEd0Ofv6628Qgc0zNTQlD8TU10S0z7seC3y8\nOL8AgTy8WwIZJRLWmagOTIzzXXk43M/QQMB0h1kkoeQFoaQioQ/s50RSYUzG4KAZ/HImxxXJ18jU\n3c8GM/ZBSZ47ALdwr86rNdkUMWG2sTc0bwAVbzdrV+eQqTYgUX0iNSNvhkXAyIsXJ5hELl8dp6Ex\nwGpjakYQR4o/2wwNdFB6/+vjycObTczaOMkPs9ibfMqu7o7qmPiUej7h/XuWuzO2PZt3yGvOhjO2\nbTpaYNe//9nPwYWPP38eyVmUQMyBEAJiSvVwtMyK/atzGpG0WRY8VjYbUnOaGrNX3CLqemt4/o7D\nWW0QAuoj3iCqMgzLGpoYYqfwbcUsSmyCZchtJOoLVvEM9pUWOORVONkjIfZD05KPc1yvGNzAIuYT\nTrx2RIJOzV8lLL/N0NR20CarEnNapHE/OVkhFo4WwndNY1dI4hCN9TOhPgDBBZ+P19BczBes8+aO\nDfub1Rma92to/r9/+S/57w5JbH0OVjh9a4j3vx9H/t9/8S9+42s8XIFQMglFxLEG4zEzTNTBI2er\ndzfYIWcKAs2wODEfBohPT+HLL+Hf/Bv4xS/gu+9uMzRTU4IIriPBBCmBYUFD0/XuDnmFk6jMxOTU\n3e3Dc9srZWiYjpgHKmuGzCLQIMSEDN3ljDaienWo6ZUznJ/DL38JP/1p//P09EZyhu2ZmlIkkNcL\nGJociSFhJsxHSoevZtSpEYIQcHJ6vrm4jz/7APPA6/E493Wfn7nfvOeqRIQXwxmvx+Oxvefnr8Ge\nr6FJISFFiAHcnGluHIvf3Z53UDYuCAkVEYbVQFIFZpqF68//m4f++8BHJDLVESOQdKZslri5BkqA\nnITUMqM0BnWadKez5GcEe8GKPTOB7MJelKADnoUS3u1yBpDXa5I18MDcdkBkeoNFvHptb5sdzFVx\nAtM8I9YbmiV1st6AO7tXxwEf1R1T7SG+QdEQWS+Q0B6rxGB+9eujPd/5dMGL4eWjuWCbvPmtuJIu\nrb9BDY0yan1wfuaquoPKHjhOE/CXf/0LHH82GjtKIq0yEgLeurvHsSxet+dbEKEsTFIuL05YmdHE\nMb0ZIIYb5OfOIqkGFjBGrAmBnr69hBLKIdJVLJ3GlhnyqRJ1RtoJp+lH3eEsBoYZpmSklvqAclrm\ncpY2JxQ6iyQ2IoRb76/IjaTuzdc21dpfv88kdWRVltHY6wGH+71jf4Myd9waU1UCjok/G40N4CGg\nR2QXLqbXnA2P50as0uq9F8m0211bRlgClcjLeXvre+TwfceubgoQ+4xYBK3C7kifB3fH1NGQOH3H\nXBxAGAqDBLyCyZ557vf02Rn83b8LP/nJgb1QePGGkc3YlCxCaw2pfdJ+iSnAVaq4WCJ5YBeNVWz4\n1Lj4Wrj4pj/qrhGyYD7iRFwGNgtBCjmAQJkAGNqU6Y1G4/S0AzApwQ9/CH/8x/DRRzcgRYwjbVYG\noCzIGyspknLqIbNHsuqtrTGOSoiGuFJK4rm2509/8DFO4PWRnBiv3EhX6XG0/+XqQy7m4zU024u+\nv52k4xiIvKtSSuQkBHFa7dlKR5OHb3fgwnop+LhaE82pbWIGautqiiuAbrfj2iTgqsZaiQRmHXFP\nZDPyghkyke5yFhKghTEquQoyGLnNbMIPSPYBeZ6IayPOgTko2EBKkLO8MywXIJ6cMNjc5Z2tN11v\n7tWrVTc82O9v5njVFG0C4szaiNVYL4zcWJ+uAWF/eZzGvqqCOqoNEQhDJIXnyTMEQJx6pHlXd+Vi\n3j4qDYfjgI/vU8cyBfit1zXq8wiNDfBieMGujYc39P2lOF/+6kvEhU18pkwACZAT0WeSaGdHjsTQ\nXF70RTKslt3gabWitI4+mVbcbzc05+f9oHBLmlIPkrO6x0zIrZLXHy66XkjdvSSxZoqNsJtJ6zMs\nNex8oq4Gks7YphH2kTEpaT5BgrCKsIyhWVNwXAPue7DA/i0L3c0GXr3qC2RKB7/+pohEJp0J6uRh\nWLQovzxd4Qh6pAOsAta6I1IqQBZWC2Qyx6ogh3yhI9W+7vno7K4F5Js1xIHmTtOJd8QZPVhts6FP\nw0GLYB74aLw9/OmH7zt+BXLORO+OSHOD6UgWr+5KcyDFd1qxA4SSKUHwqljYM78hTxGBk5P++Pzz\n2z831gq+wrUiFpC19EDGd5RIYBgAyQye2SVlbfDy5JKp3tw/L9Y7BlF2yUgeqTJQloTl0i1e0xCJ\n1RGMuXHL6OPsrD/ermaNcVoR4555diKySHIWoxBLxhwuxonPj2CAOberRHHAjVLys5kC/M4PPsMk\ncHnx6ijPt0RyBrDJJ0xtunauet/a7vY4zzdDE4idqQ+ON2eujWbWO4f3rP1+whdasQMMJ2uyOjv3\nPtt1JSWNmdUKvvnmttwMYN+USGCsOyCQXRk2yxqaeHA5E1uzTw25VOKngfjlyLR3dDTwRjwJhG+V\nGhTVFTmySP4FnaEZvOEewfv89JvMawj97PHtt7el4e49KLaaMbiRFzaFJ+sNAWM+kppiPsRXeFMI\n4RCW+4wcgsO83b77+5Y8lSu7Q1DuY7VO329D8zeIoakPZtC8WV26Eql6nA/l629eIcDmmVCfIAlW\nieBcB9Btj+Sest2OuCjDosE/iEMfIFaFuU7XA8TQmYtvv73NzsAhg0YSVSdcEskqZen1JBCTEH3D\nFB12e1LJWAnYRaXunaAz8SSS9sY+KbENkITVAm97gFgGVtFwEuhINWF6q2HcbO4ukmIZowcyRnWG\nBfMKAC82GTziR9KnqzvWGtPkPf8gCatFswzHqSgBjmRX24PdRlbp8SZCRFinE/b1N2dP/t4/+kf8\n3wd9+JTAQuCTtxqa/2u14r/9x//4N77GQyXSA1YjPbPCajiaxataw1ywENksCAmNORFTgmaojEzz\nDUjxWE2tIa6YGcGAFBYkigMIOQsmheKJXVSyOS9WWz78wq4fLzdbssM2KtkTLpH1krBc6APEOREd\nxBpTbcz6bqT8JoBvps5KCsKwQJ4iAqthhQpc7Md3/34LqmmXkRIhipNXw7NJzn784y8whNe/Po48\nZWo7YsiPykihz7zOZkeTh7dxJvKM4GOIhDJ08UGrNJPe0ByhuhU7fLQg6wlg2KxI2mcSW1PcMvXg\nNnW1V7/d0EytEYlMugcCxdthduvdlWIkJkheGIMR95W0yXgybNuwixkdhLzKxN3EPhvYmlwgLLBi\nB4irNYUelIuNiEb2b+3Vb7+2Zg3TCFYZzRiaUxa+prPNCjc5mgKhmWEqeJt7QzMkojwfhyAEvB6H\nbTJrzGYM6fH1cUgD6tCOdP5+av2NaWjGuiXHZcNdq7w+oA7vX+fn55gLp88lOQsRGRLdRMRwtaPZ\nQU7bieDC2emyGzwOhSyCmVJ1xCxRtf8um02nst9eJMfaEBHGugUPJG+Uk2UQZoydyiYMWBCciZwz\nLQmyn9FXM5a92zDuRsagYAVJkIKx5OMc1gPFDasBvIHJrQTiq9fW2k2zVq0inuhBZNrnghYE8AGc\nrDIQ0XacTVvNQJ3WjBxAcqS84+BwzJIQcdOjDP25K5PqOxdJgHU+YVd/czvN//Ef/kP+tz/+Y7bA\nmAQj8cPXNwOTW+B//+M/5n/4B//gN77GY5WGNcWNGAxvsD3SDE1rM4YhKZMWrFEhJ0oKfYZGJtTi\nLdTzoZpUcXVcK6FBLOGdVuzQ0dySnJiE3DLbpGQzrCmr775h9epbVq++xaeRrMouNAbPmGdWAyzJ\nliIE8pBITRBXZnea6jvlP80a0xwIcUKrkRDKahnbWTYnNAmcH8nitbVKnZwoTjQ7OMg9k+Tso497\nMOGX3x7l+XbzJZtHBoevKoeMuh+N8R3bjBOeDXxMksirCLE30qocTR5ep36Q/+hs2V6dVysG7REP\nTSuQb+3Vrd3dq+emJIndwEeFJFAWmAJAb0pidKKsmIMS5pFUIpZBLyp2PqNZSENC5pkaK26ZHJy0\nkKGJ6zWDg3nEvP/bTu0u+Fjr7b3arCA2M2q3Yi+ny1j3sxcrcMGOJCOdW2OcGoISMWIJz8zQCDoe\nB3CZdSSFZTL7TT5hV48XU/GU+hvT0OzqskUSYJXWD1rHmVXm+cvF191udweG5rneqtgdkewKzTXG\nIx2GxzriJnywEPUJpVAAqd3i1T1doz6rVad83yZf9q2RCAcpQaCYkhcyNCEkcgZhwFxQ2xJDobqw\nYqS+blgSYszEaccYwXVFjkJOLNPlrgopBsTArbvSTG+FT11lz1wvklpRywRvzKoU84XDk7AeIoEu\nTzlGEzCrdglgnUEcyWkxhX+MSilipowLEHAA1ZHW7l/cmk0HPfa7G7JNPmX/Hg1NCIF/9qd/yj/5\nkz/h/1md4jg/1hEH/s/Vin/yJ3/CP/vTP/2thWumvCKFhgSwZuyP1NDUeUIRKAtZ0JzIoVu8mk+Y\ny7Xe/qEyd5p2i2IXIyjknBYZfUAgZiflSLHELjRSrexOPyDvtuTtJXl7yX5zRjFnm5ViESezzsvm\n4giBMhSCg7gyzQZy975+u+ZDsGiMMzYpIaSFc0GwWZ+gErh4fZwZkKYz8wwxOEIll7xoPTtGlZQQ\nF6ZXXx3l+Xb1kvUjbqRXJSKUuHoQfFTdorocmGzaEJ4PfAwS+vorAUepUzuaHfvcOvP6yeky9j2/\nOGFQR91xmzBNtxgauAd8bIo4VO3NQsFJJwvBzhCJSQi2YR+NoCMpZDQJdlEpOlNFSDGjtsdEUNtQ\nSgcuF11jtSKL4x5xRsy4Dsy9qrdfW9V6kJxNzE3IOGkhSPFikw+BuUdiDFWZagdzggoylGdlaEIA\nfcI+M8+/RvX+BmisW4Z3zMRd1TqfsqvHkbo9tf6zaGjMZtwf33z6InlPQ2PWBaJvVIkrxnY/1dba\na6bplw/+w71d4zgC8mwNjUggDomAEwW8GrsFCOqSmvcz7sLHLxY2GDlTCJg5jT2tZWadD79n16W/\nTb5MTUkkJtv1QUM3hsVzCR3NlbDulg4+EuuArI1UJ1KbaFEoIRLbjn1x3FfktFyXG2Mmpoi2fvip\nVe+gaiH00NCr11at4pYQa1Q3SlvepA0lgkRUDY7ggTO3hpv0qe0AsUTiM97GKSTcnN1C2dk0/YJ5\n/k/3/13bM7wtIX39Gi7uNkCb8v6L5GeffcY//7M/45v/+X9BDf7X/+bv8U///t9n/lf/in/+Z3/2\nWwnVvKqUChIUwaEFxnk+SoNbpx0zQhyWzQuGmEglE6yhbihCawF9RPYzm+Ou6GHANaiQyrKGRiR0\n3XyJBBuYolJqY3v6kosf/uT6cfnyI5JWxmAUz0iKlLLMFAAgrwaSNzCY60yQwPiOdXOqDaQfllyV\nnBJxWHaAPHmxQhFeHWnodtbKODtEJ4qSFtj1HqtiDLgL0+vvjvJ8+4fiFXa7rg96o1Zpw6z379Xz\n/BXj+FeLr6tNkZBYP1tDE5EhkByKGG6wP5JcaW59FuSjk2WH8VASxZ2mMLUJ89tqihcvuDN/ODUj\nEmg6oy2S5WDgs6BSDN1WXQr7FJB5S5FMk0jxiWw7NEH2FWY7jICSyUmIC2eMbhxJA1gD5w5Isdl0\n048rs4NZZ8y6Ffs8Kdmlx0YsqNNVQSygx2LZtIMrSYyAIeV5wUchLs5kNGtM0y9p7f41YNL9XWn4\nd9916u+t2ixQU7g7dkTL9qv6z8IUYL//d4QwsF7//sPfUy/5cP3J7S9eXMBf/VV/U0u5tuVZpQ2X\n8/2osFkPY6z1K2L8yTt/t3ne4RaezTmlI5q5/8NEsKpsj7RIVm2YRT5eSGP3AWKQZrg0WrtZJAH+\n4A/u/szUKsG6KxieyGLEhUN5IoGhQIxrxpjxeg41k0+N8OXEIDvqOhBlQOqWfTairehnq2WbWIiR\nXBKhOtGVWeutYM2r+v03PopV60GXO7FvUAzKwqawpEiKGVNhbo0hv9+C1lSpzTDRzm4MifCMkrNc\nBnx0Lqvz8Tv2PtUdZg970o91y+rNhsYd/vqv+5+ffQZffHH9V5v8gv07GhrVPeP4c9brv0V4wE0m\nhMDnP/gd4Ev+p3/1f/APfu84KcrvqpIKuQhp6gefqSoGvO/2tj2/QCVQ1svY6xASMUdCmzuS645Z\nn417iCnbz0pMQt0qboZ4IC+0YodAilBCAF8zSSW2hr3FOltVUm3sY+Vk7OHCQ1o+LJ6GDYWvwArK\nhMgpu6ny0QMzMd0NKYDA5A2plRgycSFD8+LFIYTvSEO3qo157pkm0YxhoRPl0UqE+o5AQXdjt/sp\nw/ATUnqYgdnVLT98O17h17+G//gf+719dnZ9Al09EsSnugWU1l6T0uPuStCtrxEhL5zReN+KEvGS\niT5DAG9+NPCxmmES+HC97DAeSmYQQZrR2h7TF9cMTYzwt//23Z+ZW+vmONpw66+nrJY1NDHEboZg\nAzUlmC4QLcigpNcjSWfSZ47PGdFLphTBB1bJF1mxA4RhoCRQDaAV1W7O82blDH/n79z8f5ecrXGf\naM1IROIC90eAk3VGQsSOxNDU1hj3ikRHzElD5Dk5BJGIL2waav01Iulwz92tse1vMzTj2M/eMXZr\nzA9u9tFNPuWb7a8evd5V83R6+l8v+v2W1vfO0Jg1zCbMpkelYNv58gb1UYV//+/7G/qTn8CPfgRf\n3dDlj6E+qluG4cfU+m0PiXtHNR1x8rM5p4hE4lCIKCEZXv0OzfqbVl8MIp8uRX2GTBFBG5B2tDle\nL5IP1aSOOKhWVIWMLaZ8IZAHkJCpsWDMhMtKWmfC2nkZzgkbRWpB6gVzSqgWYu5SqEVXCIlQAlQj\nAeOs73SR64tkp7FHM4pCXrhIlhwJJR3o8veXGVVVdoCGCgAAIABJREFUtnulBEfcoUTCM97GpawB\nZ7tABjnP/4lSvjgslHcZ0TuL5JXLxB/9UbfQ+9nPrhGgktaYtwcH2FVH9vu/wN1QfVwG9PXXXwNx\nURDlsSrHDNkROGQTHCeEb7e7REWIC++xK4YmNsd0PsjJHjcG6ExHRG1GVUjeyKUssmIX6aniKYPb\nhik0Qm2gjctvhcvv+sOqkufa3Q1tjWRYLbRtBoibFdmN0IRmIxLTo7NBzRpmiSjC1GakNULOi8GB\n05MXmES2r99fK+7utFqZqxBFISnDb2rn9xtWMKGN7wIMLnt8wvjvHjz4uHd58rXkzAx+/vPe0Pzh\nH/aDz9dfX39/Txa/u1e7K+6VYfgx03Q/w3u3Gh6eM7gw9kFvd0JQvDrbI7hZuhtNwTzz0WZhQ5MT\nmYCrMbdu4PMm+HhfTaaoKdEdbwYpUBY6ZsbUTQFE1swxQD2HORNOnVO5JOdK3oDUBONras64DAxL\njT7opkQ5CK5OMGNudmeG5u2qWqk1EdNEq42MMyxcG1dDBMlHCzKvqkyTEoITHdKqPJtzIUCIBbH2\nTqMKd6fWX7Na/S5m99/XU9vfBh+/+qpbYf7+7/dgr7/8y+u9elNePMrQ1PotrXVme6lSaml97w2N\n6gUxnrJe/wHz/OW9entzY9bpZpH86U870vNHfwQvX8LHH8PlZTclB4a0Ymx33yh3xWwipZek9AG1\nfn3ne25d1xq1NgjpGRuabu+XUUQEbYH9kUwBam2ohcWLZCyZIRwckZiZ64JFsmm34XTrts0CeSGN\nLRIo2YlkogoXaxjOz0mrQsuBoVTyCcgYcNtRU6BJpiRZPGgYYqIMAWlCoOe5VHt8hqBqb2jcZ+pk\nFCANC4eHUySlgOFcTu9PsVZV5tkJOMEdyrvdhI5Zpy/WuPFO+ZfqHtVLcv6EGDeY3UVhx/YWjf2r\nX/VFMucOKa5WPelxmhBJrGJif49ri9nEfv/nDMMPKeXzB2d2rupie47Bs2ntAXIq3RVIBDdnnit2\njIbm/ByVSFy/e2YBIOZCLgdjDOvD8/aOhmY/VSQkXEa0CkkbeSEjBIGcoCTBKVgImE188OGOeS/M\nu/44/XAkNmWWBr4mBaEsdC4ESOt1z5dq0A4DxG/bsb9ZV6GaAWGsE6JGSJm4MNPp5HSFANtX7z9D\nY4C2Sm1KxBFxhvz+kQNPKgl9Lu+RUr0g549ZrX6P/f5n9863TDqRghBD6Qecn/60N75/+Ic9tfjz\nz/th6PDZX6UN0z0NjeqOGDek9CGdpXn8njarqDvxGd83kT7vGt2RGPBqjPX90X0zpZkjQ+J0oQRS\nSg/M9eZommhvzNA8VLMZ5oZrg9mRJJSFjbRIpGSQvO52ykXI5zvyJhOHhq0CcZXJry+ZB8M84rJi\nNSy/p2MpxBiQakQ3qrZ71RRvVrVKrZGYZtoMKciT9moJETM5ytrcVJmrIkEIpgcQ9Dn3nAFT53J6\nfA6ttW8JYU1KZ4DcKwWb3tyrW+vg46efdr3fH/1RV0j9638NZuS4Iohdjye8Wap7pukXrNd/QEov\n3wk+PrX+M2hozknpBSEUVqvfYxx/jr11I+7rnhJCl5FcRcP+7u/e+L2H0Juag+3kkDbMOt05pKru\nCGHdhxHLZ9T668eHYW3PPAuSI+v4XJKzSF71iLgYwKswHckCr5nhEvlw4aBhSIkUIzI1NEzUGlF/\n3OFqvmpoTFE1YhDyeukm0w8/IUeiRS5WkeH8nDhkJhcmInFdKOcXbNeZoKAUSnbCQl1uiJFUAlEB\ndyZTrNmjaHm1StOEMDFXIwmkhbrckiNxWKMIr3fvb6FYW2OclBggmXcXmWdEfU5evkA1cTk9vhDN\n86/I+fNDZsHJvYju1HYM8YD6vH59M5gF/b9/9KMOWHz7LSKBVRruNFJmE7vdn1PK75Dzx6R09s5F\n8nLb84deLLA5PlaVVJAoxKBog6pOO8KmuX19iRMpC133QkzEHIhN0SCYVtTezdCIBNQqrkKWtviQ\nIBKIB5czZcAA04mXH8189oP/eP34+ONLrDWqOMiGEIWhLEsUBwhlxSCKe6C1Pvc4PyLVvW5o3Bhb\nI6mSSlxoRQ2nhwG77RFC+NS9I+vaM24sweaZGxqRQJ3sUdVCa+fEeEZKLxmG3z00Nbdf/77uGWJC\nJPUwr2GA3/u9G3niet0fh7nXVbrfkVR1Swgnh736Bw/O4b35/U0FFn4uj1OBuOpzokEcrcb2CJIz\nRzHrc00vFjY0oWSGQA9y9Il5ejf4WFu3YcedUEGKMCxOsr8CHwvShIuTwnB+SRwyo0QmD6T1QHl9\nwXaTCM1R8pMYmi4Pj7TawbtJlfoOVU3VSp0TMU7UZn2GZqGMbsiRmBLu9s7GaUlNrTGORgo9H6tn\n1z3fXr06XVE18O30OPg4z19RSp8ffWivHt+cd/3mm860XjW/IfS9ehjg8hKRxHAP+Oiu7Pf/jmH4\nMTGuifEFqsd1Q/veG5rWLoixH2JSOiPnTxnHv7x1aN63PeuU+yL5+vX9KWmffdbfaLPuliXhTiOg\nuiXGjmTGuCGE4cEhKACzHdMMUpaFKB6jRA4hfGjPGWnCfj5SQ6OOhMTLBQF8ACHFjliqIWFkPzsp\nPI78zNYwU8QMmZ0QnLIUZZJACodGyhKXQyDXLSkMzClxSSGuCuXVBZcniWjdFGBITngCQxOGQFQh\nNKP5jJo9mltxRWOn1BPFky8L4IPecw/DQIvCd9v3t3itV6hPArEuC3yuvAqAs5cfYB44v3zsvplQ\nPaeUTwEI4X6GZnpTcvbll/CDH9x9sg8+6PIzDtbNb83G7fc/p5TPKeWTw7UGQB6kst2V/VgRkWdt\naGJIpJR6BkNrtObUIwyfXry+QIC8WuokGEmrRKyOC9RW3yk5m+YKEsBHtDoZIy82+hBKhJAE0QFN\nGdMdzX9AjzLtj2afo7rDY6JpIQRnnZ7K0BiiCZEJiI/a3TdrNIsd+cUJ6sSSFjc0mwNIo7v3jwcw\nd7Q2au0MDdEXWZkfs2IUTO3Btf1KGh5jb+Ry/oBh+DH7/c9ufd+u7ling7Tm/PyWtv66Pv+83+90\n8HFs4x2QzKwzNAApfXRYUx4+mNV6gdZIXBgRcIwSCYRcDuCjQDP2R5CHX1mxe85sFs5chpLJB4bG\n44jq4/Jw9W79b6Zoq0gDT/EJDE1gKIKEAWmw2wTK5SWpJCYp7CWTUqbsLrlYBaJHTCInZVlYLnR5\neCqCNEgoc9NHGw13R11pLSJhwmYjSlh8/ig5ElPGHSZ9/7W56UydBY9C4Cos9/n2nM3JGq+Bb3YP\nG5d05tOuZ9RCuNvQqClqlRxXnUz46qt+3n67zs7g9etrNcXuLaBiHP/qcMb/CIAYz2jt4ijmOFf1\nvTY0ndoyYrzZjIfhi4MO/ubwt697Vleoz/n5/Q1NKZ3++uYbIFJiZGq3GwGz7fWCDJDzZ8zzw1aV\n0/QatUBYP6cuN/T8F1OCGDTj8giSM3fHFJpEXixsaGJO5BgRNQRlVAieH0V+ZrWeV2E9t4KcWC3W\ng3e9vQyB3BLnBWLdwVRIZ/B68zEpJ8p+y3YdkAqNgVV+ApIbUkdiNYA71VpPb39EKVCt0mpHfdps\nZBHSatl7KAKrkxOUwHev3h+NqKqMY9flBneGUnj/0fLl9dkXZyiJ7775Dw9+T2dnPr1Go2Lc9MPq\nGwtXD9WcGNKmux9NE3z44d0nOz3tf292r3uK2Z6cP771tceQH/fGOCoewrPJSKEP3MYUIECwrpEf\njzB8enF+iYtRFhpvhBBJQ2awRsNp7XZg7n01zpUYEs0m0EjCSAvzKiB0NrEI0Qvq4G2H6ce0+MX1\nQ/1TXHe4CM0zKYcDALgMSAqrgSIO1l0zg4RHLXSvGBrxyowTWyMNeXFD8/Jk3a81vn9D09zBjVqN\nGHujuc7PyTR0EKlVYXpgbe/S8JNbwF7OH+LebgVj7uaLGzfSi4tro55bdXbWF8bXr4mhkILcOXx3\n8LE/zxVL89gszbj9GvNIePGcDU0klUTEIDlaI/vp/eck52mkAeSBvBB0CUNhCAFvhsvIOAlBwsMz\nh+6oGiKN6k5yIMti23IIlOIQM9GE14OQ6pYUCxfrM/xFIlohtS0XRciWICVyWj4XF2IiDwmZjUg/\nW7SqD8rBqlVSSEwzpFjxpoS43Iq9pAixYMDlEUDk1ipzpTM0pgylZ9I9V51+8AL1yDeP2LHX+hU5\n3zQnMZ7eaWgmnW6zrqXc9QCHfl+fnyMSWKf1LTWF6ojqjmH48fXXQkiEMNwLdv6m9b02NJ2dubvg\nhbC+pePb1S2rVBAX2G7vXyThWp/bKa94R8P35iIJkNJL3But3Y+cj9tvUU3EhcFMx6qcV0Qx4iFV\n/BgzNO6KYkhKnCwcaA8xkUsh64zZzKSGeH4Q+fFDpkufVXJCM0KWPhC9oPoAsfdcGY1cFiG1LVIz\nZZgJ7InSF8nzVSApeBgYirD44BMTIQWiCUFhtAkcxno/8tOsESQwzYLEuaOoLpQnHDg2m03PrLh4\nf71obZVWnRgguBKH9Kyoz+/86DPMAxff/fpeq3WzSq3f3VokRSIhFMxuWJNJJ3IIfQj7yy874nMf\nCxpC98++uLjT0JhVRMIdGv8x2ZlZZWwgQVg9m4z04Ao0pG5jhWHNuJze/77eX1yCBc4WpmEHCeT1\nQFajaURlz1wfZ2h2TckS2ekO0UC0xnCybE0UCX0tiwGxiFCYQyXubh8YpDnWtqhErGVSEnJYmEMD\nUAqDgJmA7wnERx2nrkwB0Ep1IzUlpeWSs5cnpSPCR8gTmlvrstfWSDgtBVbpeU0BUkmowf6BUEHV\ni4PG/nb1A8nNe9Dz4g4gRUr98HNf/eAH8OWXfRYjhlvgo1lvkjrb2ivnjzHb3ZG4XdX21ZcoieGD\nB84Gv5UKxDJQUIJAq34U45d52tOCIHnNQiU1MSVyTHhtmEyMUw8ufQh8nJqDOFDRZsQakRyesFcL\nOTo5RVKLHXxse8QKKc0Mwx6fB3Lb8Wro+3lMwpCfwNDERBoiQSGYU31GzR+Uh1etRDJzdVQmfFZS\nSItdzlIS8pBRh/MjBFLWNjNPjkQjYuShPOte/ennH6BkXn13v9lWZz0vbwGCfd51fwt8nHWmxNj3\n2YfYGbhJcJ3nvlfPN3u1+0QIqztKpxhf0Nrx5mi+14amz8/ct0gW3G8Whn3ddtTn4qK/aQ/d5aen\nEAJysSWH25Kzq0U3vOGCcjNLc7eDdTd259/QCKTnbmhSgQghGN6Esd2dB3pqmStqAimxWtrQhERM\niWAOTDScYA8vkuqONSVExVuXnJEjq4XzJiDXPvWpZS6LEOYtMnmXmpUdoRZi23EejZUVTCLrJwwa\nhpiIq0h2BxeqjZiEO3aQV1W1kkNmnJyU5i65iULePKGhOd1gBC62749EVK2Me5BgCEYZntc55b/4\n3Z+AGOdf7e4dCq71G3L+8I5bVAibW8jP1CZKTEjVzrp+8snbT3VTB+QnxeHgStXva/cZkbv/Dn2R\nvJ/Kdq/UGUiJ8kz2rgCBgOQ+hJ5dYXbGI0jOLvc7zOHsdLnNbzpZM6CYgrOlzu8wBWiNIpm5TbgL\ngzhx8axCIEaI2REKoQn7ZIT97QODTI0mM4FMbZE8CJ1AW+qIVCg4rgmYEQ9M72Bo5jmS48TYArk5\nZZ0XS1dPVhkI2HgEiZEqTSE0hSCEFFgtPckeqUopuMKr/UMWyveDjyLlGnzs5j1jHx5+SElxVR9+\n2M0+9hMlpLf26u213OzmOoGcP6HWb95+pm4KcrlFCQyffLTk5R6lRCIxZ4JrzxlRYXeElPn95SXV\nhTwsZUEPLmchQgNJlcm930sPgI9z66yg02dIxUBSWNzQdzWFE1OkkLnIRtAtMg+UsiUNgtRAnLds\nM2RNkCJ9RGfZuhtjIpdAaoKbol6xR+Th1SqBjAdQnxGznju3mHWC9WrAJHBxjIZGK/tZiOIE18Ne\n/XxH7s9/8BIX4fXri1ugw1XN81fk/Mmt30kkEMLqFmsytYkSIrKfYJ7vl5H2H+5kw/k563zC2LbX\ne7DZfAuguKolM69Pqe+5oXmIoRmuF0l3p+pIiau+SL58hx/9Z58hX31FicOtYcO32ZmrSukjWju/\ngzab7Zm2DZNA+eCRhfm3UDkWUnICiivMc3tvi9fW5h5WmfOy+AhAYuzBjU1o1gMdzR5eJBVozUEa\nTZWogpew2IJUJJCiIykSNTIlw6QSdjPDWebso9qtIdue11kpXrAY6BLZJzQ0OZK8ETSgPoGH7mZ3\nTzVrfWNQkDDj1YiSFttbApy9eIEROT+CxWtrtedVxEBwO/wez3cbf/LBhyhw+YvtvVSx6uuDM9Ht\nivHk9iKph0Xy29fw0UcPgxTQF8mLi+thw6vDj9l07yIZQj4wQvf9fjNNDQmB8Exzcf13ioRVIuEQ\nexbNMfKlxt0E5nxytnzmIm9WDArWhDHsmeaHpSkA+9ooEpl1BAvkwOIAPpFADE5MAQlrIoltNPL+\n9sEv7ffsiyMmqB2MC8IT0Nz1ihwdM0e0/9kdF+9fN5s1pjmS4o59hexKWhfCwusNQ8Q9okdgz2dV\n9lO3dvUoSInP6lwIUIaAWeD1PRK6Hnzd7jQZ0PfqK/BxbCMlxG7ec37+sJIC+uHn00+Rb76jhNvy\n8O5wdt9e/SGtvbrzddUdr78aIRifffH5kpd7lBIJlJJJ4khytAa2R5CcXW4vMInEk+X3dCiJkjKx\ntg7amCNaHryvp2q4QPMJUyeYE4ZIfIKaIoYOPua2ZhsbYd4hVTj90Fm/TITJkbpllwPREhIjw1Pk\n4TEhJRBUDgY+DbDejN1TVSvRB9Rg0hnRhpTlVuzQTW+awOUx9mqt1OmgpkApz5wt9cUPv8CC8Oqb\nei/42Np3pPTxna+/bQxwpaaQX3/Tnc0e2zdfvoTzc0LIROH6rGg2PQA+nh7k6Mexyv7eGhrVHSLp\nFmNyVSI3DM2sM+nK4ewe1OeiNf7tbnejq/zwQ7i8ZBXKLX/7K9eUtyuERIybO7SX6o7t6xkLzubT\ne7T9v8XKuRCyE8W7jKtW3ldtP08jhhDK8psqxNRtKU0xrTiGPeJvP7fu5mFUajNiE0IM5CehPpBT\nILHB5i370xOGV69JpbD5KCIVQt2yT5VsKyQmhifYu0oIxFLIVKQFTEaahwf97atVaAUL3T3GmxJD\noJTlCOqLFxsE2J8fYYamTkwHs4VgxvDMpgCrISMI268v7mhtzSqq+wdAinsYmhBgN966p/96HPmr\n/W3Km80G5hlpTg7hWkpqdj9DAzcszdvV2p5mAVnIUh6rIhFLkdRJS2xu7I7A0Iy7PXjg5Xr564mr\nTDHwqpiMzNPDDI17D7Pr+TkNVchui3NvRAISjJycEBLFI7uspLcQ0LQb2QUjaUJtxZAghuWHnzhk\nkoDX7jjVFEztQSe5Zo06B1IamWZYqZM2y81fViWCg96DfD61qipTVaL091lyIjwj6wowbFaYRM7v\nCdd8CHgEDsBBb0ZmnfvBx8O90vBfjiM/e9NE4ewM2Y531BR9r77bPPVZW78jO1Pd8vUvLnGUH//O\nPcYiv8VKw4rgRhSDBvsjSBD3ux1OIG6WzwPF2AfaMcXpc2HWHt6rp9YIBNRHrAlRnTjExQwlBHIR\nZAgMOrAPEy6NcDmzepnIm0K62NKyMMtIqStCCpQnGH2EkEg5ES0QFGbvM9cPzbtWq2hLxOBMbe6S\n9/gU1glO1mtUIt9evN9ebe64tn4mkoYIz2708eMvPsdR9l/eBR9Vt51hjHdZwLcbmrGOXU1xftnB\nR/q+8Be7Hd+9nbt0BT4SyeFm7MN9fuCsf+WCehy3s++toekWkA8tkje63OtFslnX570xjPSfpomf\njyPmzndXh4MQYLVipeFWAvHbhgBvVkd+brs2me24+GoCgd/54nkXyWuGJoAbR8msmMYdVYS4eJj3\nqqGJZDV6/6yP+ttPzfGeqoCpEVVgWL6g9A83xOiIneJtZHs6MGwvUT9F5QPyxa4vkuwpelgkIyz+\nKIdAGgayKaZCpFGNBx2nqlZcE45Tbe6e+LEQnxB8d/LiBBdje/7+qeLNG1Olh3VJO2T8PK9blxPY\nfnfXdagnep/deyjs2twbN6NJp67L3e6v7+lmxne10tz52X5/w0oe7JxluyeHNyVn9zM08DCVXac9\naoIslkEep0KIMCSSOSpg1R7NSVlaU23gwkcLw3KhDxCXIDArKvvuiPSAq087DA9jgCjmgST+BFMA\niBIIycAK0TLb1Ejj2wzNxC43iiQm6zM0Em15ZkXMpBy7dMat5+uYUd/F0KTu3ljcyevlYE9JkSgR\nfQAtfkq11phGI0UjuCFDWswUHavWJxvMAhf3NDRXds33lchwC3zMISC76ZY03Nz5y/2erRk7sxsz\njPUamRtDiIz1psHtDmcP7dUf3GFpzLb86pcXGIEfPrOaIqUVISghOjrDWOf3lodvX13SiOSFRh/Q\nD/85Z7I1TGfAHt2razNMIuojtEikPcnlrzuSOilEShtQ3bI7WTOcn6PhQ1ReMLy6YHd2SquXDDZA\nlKerKVaRclBTNJtAwoNZP1Urqokc5dDQKCEvn4sD2JyeYEQuj9DQ6MEUIAbDkjE8s9HHJx98jIuz\nvUceXut39yop4K7T2dh2rDz1ffigTLlQZXbnP0wTvxzfcCksBXJGxnoHfHxor34IfPxN6ntkaC4e\nWSQz7vXghHRYJC9vkNxmxs92O85V+a82G74oha/f7BQ3G9JsCH3jcvfroK77qi+Sr28tRKp7vv7l\nJe7GDx8agvotVUkDGukMTXNqfXfa67tqd3GBiRAX260eGppVJKmjqj3w6xHUZz4MGnYaW8Cloz5P\nYGhyhJQF80x24btVJNUt1BUtfk45v+Dy9ARtO3JbIzFS0nJpCiF0pzRpmEIQpdnDCcTVKlUTQxIm\nr4jVvtCm5Yvk2XqFmFCPkkNTmUcnRENcycPdQbvfdoUA8+WE2XTL4ai1V6R0v762a3NvHE1mnSmq\nSCjXfvbftMYHKfEH6zVDCPzb3Y569bl/8QK5HO9ZJB9iaLpby9tUdt1fdDekhZKpY1UgwKqQMGIC\nb8buCJKzaZowEV6uljdoIUeKBKQ5zSZcAvN8vzyruWNmaFPAcXVS4AnZUpBi19ubDAyeGEMj7m/f\nC3kc2UZl8EQjsy6Q5CnuhbE3NNrR8v1kiGgffr6nqjZai4QwMk+NIkJ5QlNYcsRFsCOwbLMq09SQ\nJAQDSnx2hubF2QqVyG57n6TrgpSewNBc7q/ZGXXnLw7/1n9rvebjnG/2apEOPjauwzU7kOkP3tdv\nNzRXe/uvf3WBS+DTJ3wuj1EldfAxiSHuTHPjfcUzl69eIzhl/bS9WkokquM2E4IwP7pXt8OAveIG\nQRs5d1nYwiuSEqQUiDoQTTk/KZSLS1Q+wvSUPF5wvimIVqKfIFGextDERCiJ5Iar0HxCXaiP7dUt\nEcWZtRHNyWW5cyHA2dkLVITLi/eLWFDAqnalCuDRWT1zttSqFPDA9ps9ZrfX28f26hhXuLeDOYcz\ntT2l+i0y4eta+Sxn/nCzYTTjz/d75qu9+g3w8YahuV9yBsedo/leGporW+aHFkkROTQ18+1F8tDQ\n/Nv9nlUI/O31mhwCL1NiNGO6ekM3Gxj7z01twmxPCA+HGoWQiXF9/aa6O2Z7vvoPFxg8O+qTQyLl\nQBDDmqLeN733qd2uoz7pCShkCJGQM0kNw1AmpvYIQ1MVQVCdseqkVp+M+uToxBywWli78KpAqlvC\n7GBOubzkYi0kN6INSIbyBNSHEAhlxUocb5GIoeYPWrxWrUz1gPrMM6La80SeMLR7ul6Bv7/Fa3dV\nqkxNCEGRYKzKMyeKAyEK3oy5pmsk5+aefnjGrVPL/T0Y654yG/JGbsTXtfJJzogIP1mt+Cglfrrb\n9YXy7Ay53N1aJLsu9/7X353V1ndYpHF7TvNAeoI+/RjV76VIMgfpeRHTERiauSkikZcLbcQBJBdW\nEvBJqTISBVrroblv16QOrqg6ZorPjoT4BHvXLocJwcg5ETWzj3dNAcJ+ZB+MFZlmiSH3xnlpsx5i\nJA0RayCq7GcjRGNf729o5qY4EcLMuFcyLHZDghuG5hgJCqrKNBkEJxnIkIjPzNB8+OEL1IXL3e2D\nXM9zkgfR1XvVFNsOPjYzfrrbsQmB31+vCSJ8kjPftHbTPB/AR/PW8y50d680/KpiPMV9vr5mZ30D\nry/2CPDxM0YsAKSYCbFLrd2EeZ7fe951d7EFd8oTwceSE7F1l7jgzlQf3qvnw7kCb0iF5K3PxS0c\nsO1qir5Xqxeyw/kKUt0j1QmzkdqO14MxuKBeCAHWeblts8RIHDLFK14hBWM2YX5g3axamVukRGdU\nJTUjPCEsF7o8HITz1+93wO4GSY2qEMWQ4KyemaEpKXWw6nzCrF6H5l7twQ8B/P3vTjDbUq2SYyDO\ndktJcd4aH+VMCoH/crPhZYz89Gr04+wMudhfg4/uhrv1sZF7qufUzdgjuUlL63tpaLpGdv2oO9PV\nQjnr3NHEwyI5avch/9HqBpkWET5O6Qb52WyQsV4PED9kCPBmvYn8XC2S5+fnuAifPcFB6BiVQqYM\nkYSgCm7+3gPE+/NzXALldLkuN0ggrVO3eCWhbboeIL4PzZ2bogYhKK6xO788aUEJBIEUhUamaOBV\nVlLbIXN3TYttx/kgJA9IS0gMlCdYQRK61eZAl8+4K00fTgauVqk1UkSYbCI2Q4bypEXy5Vk5NDTv\n55zSswMatTkZcHHKM+tyoW+eqHIxhevFsctSTt5xT/c5mqoVwUlVuyUzfRYO4PQN5usHw8DLlPi2\nVhgGJGTyPL9Tl3tV9yE/87RFRRbPgByv+uxWku5e2Kqwe1t//BtUrYb7ExmakikSsGa4HA6Gfn8W\nzVgdCUadjYCBGuRAecLnP8REFCGWRNTEmBo/I6ILAAAgAElEQVShzlAdWn/EcWQfK5lCJfcU8rh8\newqhm33IbGSg0RA3xnsaGjWltUAUQRmpcyMSFoflQg+iDDHgau99gJ1bY5paN0FQIwzPP0PzwUcv\n8CBsL99uaO53Ir2qq/vdrPWGxhWZG5yc8FqVQYQfvyFPHEJgHcKNRPywV5cYmXS61+Hs9vXkEMj3\n+nDdHaqZ/dSwIHxQnvdIM+SBkJxwYC+n+v4GPpeXlwhwcvK0edcwRJIpDcfFqS0+PENTG7hjKP7/\nU/cuPXJl2b3fb+3XOREZSSYf1VVslVpSq91tQNKVBvbAnvizauCJDdgwjHthwLiGbdi+ntiCrtTd\npe6u6uqqIovPfMXrnP1Y24MdmWSSSVaeTJpsLSAGJDIyIjLO2Xuv9X9Vi6Fgw9UbGmhUb2sE6Omy\nchLAlTUSKxIrLm84CkKnQq6hUc7sBCt2Y7Bdj5dCLYIzLVjzbY6kscRGI6WQtOC04r1HrqwLgsXe\nHKmN9neTyqpoKaSkeAG1MPvAe7UxFjFCHUdStufsiHehM2d1pqMZ84g3DtnG84bmMGduu7amn9Vn\nXUcQYV0KLBbIEAm07+RdTApo97Rzb8+Om/SZb/wbJlbLqXj2zkUSXtpBxhLxcUR8B96zLIX9S6bj\n97znRWo0NWYzZEzn7imlrN459YGXDipn6EwpntUmUhHuXTFp9n2VEYMJDmMq5IJUeWdI3FXq9GiJ\nIoTZtIbGdh1dbdOnUresx4ozlx9+Ym5ZN1UUSrMq9P7qkO+ZI5L3gmjA1MC2L0h+ZZFMG46D4lQx\npsNYQxtOX/1Stn1HqEpW0xCaUhnfkvCcSiIWR7DNNcmX5tg0xTll0QcqN6enNBi7NTTGFMQq/Udo\naFywlGo4XVdUGwLSFsl3OxCeOZ01/YxDhpeauOcp8ckluqR9a1nt0EnZP8Bvt038WSIi787guYyb\nG9dLajV0tz+sFbvITrtVc9PGJWGTbm4NmrWgxnL7imG5ABIcvRU0KYZIqVDK5cYA21RBCtZUSoJa\nasurmJCTcpYv5bzDxUAUpdaR/suB/nftgUZGX3DJU50n2MbPv2oZ6widAW1UukhBUYb45qDiLFTT\nCmRaongvLYPi6p+phVEW3m4je9VKpVBSBStYKm7WYz+wy9mnd++iArq86Dj0LkOAszpzOosl4rdb\nZO82iLAqhVuXUHM/eZV2tre3a2jcbq9+u37mrF4dPpayJiXLmAvGWLorH8jfT3kbEC84EVR3wY83\n/J3bzUCpwt35BJcz67DeEerO6U9Ta2jeMvXeloJUUC2g4Nk5Zk5BaLzgPFQ6THGc+oKLr+zVccUy\nKF111Bwam2LKXm0M1noCiqogNE1cvGQfrbXR52K2eDJjsTvK2TSEpjWRlbS5md41a5M8lKyNaeOE\n3n3oIVr7OlUrm2jPaWc5H+H9u42uWkOzeulGOrxsaF6kxL3L9mrnWJbSolP2buG3mx1C83a62cvX\nu0VKLy61l55SH/Tu32x+x3r9S8Dg/Sfv/NmzLJqxjPjNGrnVvoBlKexfskjOrMWLvPyDhhkhpSsj\nNMYERAKlrChlQ86WYVtAhMUHdkQy4rCdpRrFUNFUWN3QHvT0+BSpipsgNARw855QQRXUjKxHcOLf\nCC0FSLlQAKFAPoOxr75IgsEaxXmDVAelY+sSaMKuRkxUbN6wCgWXAiJ94+WGq1NTACR09KaipSK6\no3y8g5c7RoM3tQWL5jpZaDjrHbUa0g3Th7VWSsrErFgqaoXuA/NyAbx3VKM8fT7sLBfrzq753VOf\ns8DcIW13DU1bJLMqJzlz95L7+qyhqbUit+7C+hRnHLGsrrBILqg1sVz+A6vVP7Fe/5pxGMhGmB/8\ngP37ey+L9Q5bK9gKCTbvI41aFbAsugloRvB0YtFUwEZUoZTLhxRjanQa4wqaCzZVcJYwQUMGBu+g\n6wyiPUkqw73M8J/Ozh/pk8oohZAdeCGITODzN8qZ7xySKxQlm4QgDJdYIr1saISxjtSoWDFtrZpQ\n3jfkYZNvdoTNJbIdwFkwpeCC40PPGu/dvwMow6qw2XzBavVPLJf/QCmrt2pdz8qYQCkDWTPulb16\n9Zbh44FzbM/MAWYzJGUC9nyvvszh7NVqyOu6hUWXNXlbGUtBjfmgYbnQGhrrmyNfzi2L56b5UuvV\nFmrlzt40A5/gHSYpBUglMiRpA9pLLHFjLrALqawqdBR8P2WvFrwo1hukeqQENl3G5C0mVsyoSN6w\n7jJGO8AjVpjZaWwKCZ7OFDQLIplcKsMle3XShDOO9VixjMQKLhds7ycZbNyazUAh3zAzLubcBrxJ\nMRaq/0gNjXNoLqy3jWpWykCt5Qrn4UYPH9JAqLWF2ofAphRyrZcOKvatbedvQG7dwW82V0JoALy/\nizEdm82v2Wx+S0qH1/u813rWNcv7OywWf8Ns9udv5dOd1RnlLJWE32zeuUj+5nTk62Xk/iuTH5kv\nCGNiSGtqzRjzw4vDmduZ6oY8CtuSwJoPPvUxYrA+YARsrdQM27c4e1y1NsstFcPeBKEhnKEZUMeC\nMlCqwluyaMaUWuOjGS0GT8JNgLGbcLy2jd10SPbkcspmf49wsmyTn7xhExSKhxowUunM1Xm5AKYP\n9FJQhUqlqBIv+ftq1Z1trcHVQqyNlztFFwTN4lWqpaSbHXzOeLm5KFZArTKfQJN5X9XPPRnDi+M1\noOR8jEj4wUVLRDBmxpCOCaogFnac+gPncMawTMrff3nctBuAMwZvDFtV5NZt2GzxYhnT8q28/ldf\nb7H4GxaLv2U+/wV9/2fEo/tUqdy+9WEbGhGD6QOBjDGVkuWdSfZXraJNZOsnhISaEOiMRc6MPqqQ\n9XKEZtiZBahJaKxIAfFCmKChaY5IgrcGpEOlwnjxwCBxYDSKyR4JDm+ZYCF7NqEWvBqsFpJuUSzx\nEuS1NTQOixB1QFPFI/iJznchzCjV3Nh+O+W0Q13rLlG8/6BW7AB3bt+Bqqwfz+n7P2M+/zmLxb9h\nsfjbH0SjRTrGvMIbD+tT5PZdkipJldkre3Wplf/6qxNejOUlRVwE6WaEFBni6U779u7vodnNLsj5\nGNWBzWlEAePbdfYhy4nFBkFsQZKC1hsPH8fY8p4O9ibQSG0bggat1CpkHdiMFSuXGwOMJVNL2emW\nBFszoe/enTFy8RVxtuI8oAGKZ+szkjbIWHCnG7ITkhmo2YF6nBXcRITGd4GeQlVBKlTVS/XEqSQs\nns1Y6dzAkKCrFTuf1tDc3g+Apdxw2BRzZswVo2CpVOdaTMEHLustKnB4mtq5Nr/d3ezVMsYh4hjy\nKSEmZL4ALqIz328z//HoJctgz1o2O0mI3LqL2enxctm+Vet6ViKWvv8Je3t/swvQ/VfR0Ny7cqq5\nSCDmFUYMMm6QvdsMpfn0v3phnMTC3//uhP/wfMNd7znNzRFMZgtCjO13mKvlC5xB2aVsGNeJpKDW\n0n3gqY+VFsJnUKyFMlbWN+Tbr1crqHBncfWpD4DtHZ0KFGWsI9ZCipcvkkNRqJCqYlQIVdsiOWHq\nY4xinSAu4GUPjUvW+z1hu8SsElIGtj7uEsE91U3k5QLSBzoBrS20q9TULKdf4z6nkrDi2MaKqe16\nsLVMhrGDs4hAfQuf+aoVS0G1UmLF2QpO6K8YhPY+az73FLEcHZ5gzJwYH/0gOnNW1s4Z4hHdGJFZ\nWyTPzAAAvtsk/sOzLf/X05cH3sUZ7cw5JMzww8iY1z/YQJ1Va5QD1s45fZ4QCj/69P7ET33TMngf\nsDv6FrmyjTfPrNCqVN9d4DP/4DsJjmA85IjWipaCvq2hSbk1nrKm5oopggZ75bDc3SsSHIRQyeop\nxlHHi5SOMq5RBGqPc9CFiUMKsZjOYkpFijDoCsReOs3NminaKGdDSZAyXgQ3kVrczTpqheUN0+Fz\naSiwMQpkfPdhw3IBbs0XKJXhJGLt3jtNdF4vY9pe7XOFWpHZHqtSWLw2ePyHw4H/7cmar1fxojnA\nbEGIiSEdv1M/82o5d0CMjzGmY1iuGKog/sPqjqDZ2ONs2+IUKPXG7oXjZqAi3JlixS4GmXU4VbIK\nRbctXLNePnyMuVB152BYhCAVO8H5sdHDm5asVIevM6KuiX3An67oTk7Z3tojx2NsmZHxWCfNnfOq\na5UxmNCGj7kYqiqlKOMlA4SkCYqnSEVkJCcllIrvr54tBbA/C1QqOt6MDpxV2Q6KpYC0jB//gWmk\n0NwYszG8eLFGNZLz4ZX3amN6Yl7RjQlmC2qtHOZ83tD84+GWv//dMU+H9n1YEWbGsC4Fme9T89iQ\n17yatFd7f4f5/GfX+rwfzbb5h6otkmtC2aUnu/AGOlNr5X/4dsmoym9OEwaaiDhnmC9w40AqA8jV\nLiRre0QsIobtcssogrUyafr5PsqKheCw2hwyNGU2N0Ro1usNaOXuYhpFSTqPB0pSch3prZD1cveU\nmDOoNipAFhx5ktDwbJEUqVA7OrtHTZFlcPi8pjteMezNSWlJb/apajFO6L1hkoYm9PSmUgo4raSa\nSLG8IeZMmkAdSSvBbBnUEBTcBF0QnDU0Bn2L8cBVK5fSbIxzC13F2g8e1gWw2J+jBo6Ojne6mGHC\nIjljzCvCmNrB5zUzgC+XkYUT/ufvVxyN7Zq/oKOZLfApMub1D059LquTw1MU5ZPFh3UuPNPQuFpA\noKrcmHJWq6KVyZk61jmc7bA1MRZFayHnyxuaMRdUDYVIKQVbDcbJJH2LiOACOCdoDahzaNo2Hmtt\nh2Ad1xRnyHQ4K3QT7F1hZzEfPI52n4kouUC85HCZNaNqMVRGLVRNWBz9RIesvcU+SOV0c7PvMeXI\nMBaMbQOTvgsfHKHp+0AVIa+naweM6RjzGp8i0jcqy+o1avg6K//jt0sOguHXJ5HeWmbGcJwzMlvQ\njZExrTDmapRo526jOmDtHpuTE7IIZkLY8fsqK5bQeyzNNENzZX1DxG6MCZBJYblGDC54+qrUAkkG\nnEBOlw8ft7FgjZJTRVXoqNhJlEuDMeC9QdUw87dJcclqvyMcr/BpzWrWUdKGedgnVYu30vatKYOK\nriMIaGlslbfRw5vDmSNYUEa2sdABdj7tnu47h6hQbjhsSjkzxoJFUKnYjxCWC9DNAskIR0cnGNPs\nmK1dXOm5xgTGtCbEEZkvOM6ZmXnJWPrVcaQC/+3Xp+dnp33nWJXSmsiux8e8a2g+zDnlj7ahEQnE\nssXFAiEg0vh5r059/vFo4D8ebvmJCpusHMZybg4g831k3OKlkvXqok3n7mDMnO3pKakCH9g1Bdq0\nkc5jqYgDzbtJ6Q1qHDYgTIKxoVmZdsZArmQZcGIY34bQNBIxOStFDZ5KH9wEhAasaVC2GIeVDl/h\nuAOXN/hhzWo/kNOGuVuQElQLnbt6AB+AnQV6gVJAspJotrSvL5OpJFJuCeRiB2ISXCm4Pkyiw4TG\nn0FvKB6OObMdd4dAgeqhn9BYva+6fXeBCixPtkCHSNileP9wiXjGvFsk9/Y5ypl7rxx8/uX7DZ/U\nNkD4nx42yHrxKje3mxFyJk5AaF6tk8MlVLi//26h8/suEUMIXQvhQ5H6ks513SqaKFWQK061z8r4\nlsAdcjPEMLaQkrtUFxdTJleYBci5IgmMl0kNPRi8gWAFrQ6bLVtf+en/8u/46b//t/z03/9batpS\nxVLVYx2TAvhgl8PhLZ6Wq4Fp+VLbS+g/sUSKumZtm4EyYq2feKCDfm+PKIbTzc0ckVJJpNQOe0LZ\nUd8+sFuXa7qdNE5vzhqbYk1IGenaOvD6Xv2/Pl4Tt4XPsvDbZUMG73nPUc7IfIEfR5JugatdV8Z4\njNnDmD2G5ZKEYCYgGu+rjLG44FHaO9dYWY83bWgUqcKtiYihmQWCgmYlssWKkMqbxgBaKzlVrC3k\npBQVnFT87OrsjYZ6K94YUMG7PSRFVrOAT+tm2dxbjBY6s0dWj/eCkWl7tekCM2k5NKigtVyqizvL\noPFiwI7EseCV6fd0sFQBTTdraGLODENtIeEotvdtUP2Ba95bKsLRyRJr5zh3cGXEqlaDasSOIzLf\n58UrTIpNVp6/GPnJzPL7VeL/3DEqXt+rfWp79Q/pXd9X/RE3NEJW8GmD9G3DftUQ4CQW/rvfnfL5\n94X+m4QZlIebzL61DKqo8VRvCbklwV+1QviUvv9TtqenRKmYD2wIAA3GFm+wtTZB2ciN6SnbYaSq\n5e5i2oUlztMhEJUiAw6Il7inaK0MqR3WahU0g7eKbYr9K7+esY0/r1icdLgKx13Fpg0+r1l6g9XM\nrNsnFvC2TX4mHX5CwHmBVLEFsk3k3MRur9bLoC6D2IEUlVDBzu0kXq53BmdMo4vd4AAbSyHGikMQ\nKdRgCR9hkbxz9w7FVmQslDJjPv/5lZ9bsahG3Dgis302quztDj7LpGy+Gjj4JvJZhP/3cODrVSQY\ng4FGOZ3t4cdEyutrTX1OVhtUhIP5NOrl+yjv/M7itR26U7pZZkXOkSoVM8HeFWh5ONZhayZXS7Zb\nNHds05vBr0PKxKLMvJBTxtIOGVMamkYjELwVSjFYNfzTf/Zv+Pa/+K/OH//4X/7nSHXkasGcBVJP\nWzckWDyKZgVp7j5a3kRet3mL5p7OFYacsUnx4rETTAgA7t9doHLzzIoxJkquiK04MqHvr0z3el/l\ndyhy2g6Tm2xjOmJe42NDXbMqUZX5bpD1ZJv5P75a8qePMnuPEjErz4bCnjFsSmnU0zTgqbwlB/XS\nms1+isgtyjBSDPi9D+tcCGCxTVMpFUNrJoZys4YmlmZBPcWKHUB6TwBqgiRbvBhi9m8MH3Ot5KIY\nk8ipOZJ2UlsOzZWrOZLaUKl4nHg8hpPQ8mdc3nDsW66SN54sdqeLm4bQSAj0ppIVpIAapeT6MnNw\nV2cZNB4QO5KjEqpMypaCNnwUzM0dSVUZx4SVitGmofkYCM3sVk82cHy8xPvPCOHHV35urJWAUktE\nunlzLdytkQ+PI4tvI/3vI5+J8O++W/Fkm1lYy/pMR9Pv4caRVMYf1MW9r/qjbWigRRT4cQP9nHFn\ng9cZ06hm/3xE/9WAP3CkHzn2jgu/PY2ICL0xDFWovWu5FZe4fLyt2kbiSes1GfMR8ioADLbzOAVM\nJefK+oYWr9ttgsr0qU9oC1UtGbERqpAuWSS3Z1QoU4ip8XI7FDeRxiHG4qwizmHVIiWw6jI2rrFp\nzUknuCJ4PGNxLYPGTERodo4wqhUpLdlZNTHkNxfJVByuCtiRMSlewYUwiZdrLRgCWnUSWvh6lVIY\nxtIS1KVivcd+BITmR/cPUFOQdSHGOKmxSFrxtVBRJPRsS2G2O/h8+/2WaoXxL3q6x4mD08J//82S\nUus57Uy6OS5GYtlea+qzWa+p1XB3IhXhfVRwAesEJ40WklN+AxWcUmkcKGJwi2lok7UeGzy+KFoN\npa7JqWuONK9a9tZKShlVpXdKKuC1IBNd/pp+CLyHVCxWLWtXSXv7549tEIwaVD3OwzxMo5yJtRhr\nCZJhFzybklJ0R9N8pTZpg+aePmTWWZFSEOcnD68Wt2+hGE6Pj3/4h99SzbmwNFOAWhGpdOHDU86M\nOMRA1cQwUdQuYsha8HEL3Zz1bkgh0ly2/t0/HXH7+0z5sw6dGdxJ4bt1ojOGVGsbPgaHz/GN7+qd\n79kEYkywzagoiw8cgN3eg0U6j607e95088y4sgvfPZjY0NjO46ugJZMZsQopvTl8jKrkqGCVkiql\nCF4qrp+moTFGMSJUG+gIWK2cenBli4urNogshuA6SvU4V7FWpu2d/Y5ypoIthaSx6Q9fMwZoeXEe\nJ4ZqBmIsODGTrNhhF5iLkKd01pdUy5bSNsCqTYv8MRqaW7f3URHGTSRnJjUWqSg+RmofiFWwIrjd\nXv3Nt1vigSPfc+x/E9k7Kfw3X59SK8zOBhX9Hi5ueEu28f8v9Ufe0Ag2bZBuxjLncwj7V79e8vvf\nrFn8bEb+xJMPHLe3yr8cjtRamVvLoFD7gE8jU101Y4zUWChScRNF9O+jRNrUx1XF2OZytr4hBJpi\nAmOmT318M0UoGYyJaBHGSxCabWlWzWIKY6qUCoGK7aZNj8+nua41dLX2jC6jLmFmW06DYlXoxDOa\ngL0OL3eXKm4imJzRHeKxeg3KezVUEzMwjpkOMLPp0wbrLVphuAHtLObMEEtzvqsV0znsR7iF7927\nizQeJHEichi1EGJGe8+oFxfJP/xhQ75jqTPD+Bcd9zaVoy83/D/Pty+h7DDDkcgpT9oYAcZxZNxG\nVCx3Jt4H76O8DRgHxiilQEqFMuEA93ptlkuKCN2EbCnYoaBdwNYC2ZBlwzBC7/oLKE2ulZrbRDR4\nyLHiRHFumsufiMHblglRsqMTR0wXXc5i3uCKodQ2Ie3dNNS1BeYGvAg1C8a0ezqP9QLyGkvEiCFG\nQ3AD2+yw5PaZ3LQDx/7tBSqW5er6lLNmypDJCoYKKLMPnCgOjREhpgWFLrfTh2dRwcYt0s8v7tVf\nLPnmqw2zn/foniXfdSxOlH85HV8bPgZ8TG8NOH7r68aIrgtqlPv3f9i96X2XwaDBYivghJr0xvTw\nrIpUx/4EK3Zow8cei4xKkoFgDKm8SQ/fFIWSCBZKKrtBpBAmDHlEDEYq1oCaHlfBqOc0ZOgGqtmy\n6TLQ0WGJOHrH5AGcCYFghVKaw2KRQlVtA9RX6gyhcRjUjGhS/G4wPKW8M1Rjb7Qun72fMYI4wRbF\nfCTK2b27+y0XcNDJe3WqFZ8itfcM1ZwPHmutfPXNhvCJp9xxjH/RcX+lPP3Nmn84HF7u1d0MnzaT\nz98Aes2//x91Q5NKxcUB6ffOAzU1K1/9YUP8WUfd210gXrALy+YwcpqU2W6RpO9ww3Bhkay1st2+\nSa14tWKMMBayUeYHH5ZrDzsBceiahsYKNRk24w0dslSpFQ4mCA1ht0gaQ00FY0aqCmM0ZM0XqAlb\nbVQP6zI5ZWoBL0KYiNCcZ9F0DpMrtcwo5ZRhPqM7fcEqFKQGZqqM1eNdxUxEaJqA2GGKUDVTjGBq\nZvUaNzeVxJgdDqFKJMXaYOxrHIbDrEdR1jfIrEilEGPBGNpEsHMfPIAP4PatO81da1t+8F7KOTMM\nLw9IsUR8EmovFxZJHZWvno7099vftobW1BxU4X//4vQVsWFLxCZXik7DN46PjxvX3lT2JuWovJ/y\nrgPTGhrJQi2Z7Q0Qu/VyScbgFhOt2J1vIZcKVQ2xbhlTpXczNq80GkmVFAuYghEouVmQ0tlJ6dtg\n8BZsUEr1hNoRXw88zWsCHTFZrK/MJiI0iLTMCinUDEag2kxMLYzvrDZpw8zN2I5g/ZZUDD5XrA+4\niZlOB/u3oDajietWAWpuYbnOZNSB/wh5FQDGGLQanj57Mfm5JWacr4jtzs178mnm//5yBf9JD327\nXnTfsjDCb58M6G74uC2CdvYNNsU4jj94CBvHkWGZ0Jp58Mm9ye/7puWMw3QOVyvWtfDZzQ0dSXNW\n1NldU3/1MsERRKgKRSJShfEShGaVFSg4b0k5U0vLVpvmXAjGCMYpagJdUar2bLqC25ygAskOVO0J\nuaLW0VkmrhtNAxNsW+9NVYptWWyv76NJE2OyeIRcRzQVnGHnGDjh9axgrKD1TdfTKZVzYhja7xNt\nusUPTSMFuH//PmozdlN+8F4ahuFCIxG14uMIfWBb5NyCfXOUeZwLs0X7d+0M8S97bsXKrx5vzwM2\nJcxwZNI1DK1evJi+BsEfe0MTE86D2HCunynLwu8pLLqLF0e55wlHhYebzPwM8urmuLhlfOXg8+TJ\nE7744gvSOxadNvXJFFO5f3A196b3WwYbHJ6CyA6huaGGZkxN23K7v86ExFJLQ1+sg83Y3F1edUVa\nRkVLpnOmwdm1eQG4iQ5MIgZnBds5JFaC2SPnFevZHNXCNhRq7egRknQEKzte7hQKmKfrbTtUVqUC\nSGEZL0FossViqDKSUsYhk6c+AN7vIQjrG2TRpJwZRkV88+SXYDEf4Ra+s7ePipJj5eT03dPpP/zh\nD3z55Zfnm0MskS4L2glbFea7RfL40cjTGcz9K5/HCP6eY3WUiKVSgVSFEiqhXB7u+q46Pjoi14oa\noZuol3gfFZzHhObkV5NBKCxvMKhYrU5QMXS3ruZac1bGOlzvm+NagsRAC8qbsc0XEZqcK85lSmnm\nJE4U592k0EsR09yHXKNeemOJaWCpmdXuMeQ1nThyNhCENgeZiNC4QIe2dG61VGk5G+Mr9JFt2jL3\nc8ZY8W4gJTBacGGaLgjg1mIPqGxPjiY979XSWoljJKe2jlVbmX2EsFwA5wziDU+ePZv0vFRSGw51\nhkrLjJpby3Cc+cYr+7OL14rcc9RniRdjo5tua3tuSHLhnv7666/56quv3vnacRhYbQqVwo/u3J30\nvt9HiVhM2NHDXUUTrG5o462AGM/UtAjxjs40CqMxI7VCzG8iNMuxYCTROSGOEZvbXtJNjACw1uEN\nVBdwBURnRBspwHY+I6djROf4DNk5gp3GpICdI2OwEBWTM1UEazMn24tD6qy5ITRiKDKiBRyCv8bg\nyhiPFr0RVSrlyDgoxjb3OzfzH5xGCnD74AA0o9v8zoZGVfnNb37Dw4cPz/8vloxPGe0M28q5Ju7R\ntxvGA4t5lSFhhO7A8c3Tgb2ddTNYJFhKzJObw8PDfwU5NOu3WEKqKsMwsFwuOTo64vnz5+SSqWNB\nekus7W12xrA6TDx1MHvtbtc9gy2VL58OzKxlq0q1Dh8Ccdtet5TCkydP2N/f5/Hjx299nzFGhlWG\nmnlw78PD2CK26SOqtlTxAsMNGxrVjFjD3E1cUEJzDqkloTlhQkVUyOWidfPpVrE203lDSoUaK14M\nYbL4uomHnfeQK51tgtFl50jOMZotoj2dKpEO75rQcBJCYyy281hVpNCMDCQTIxc43M19qC2SWbaU\npPhq8NcwipgvZiiG5Q2og6kkxm0L4JPBMdgAACAASURBVDNFkeA/CkKzN+upxqBp5Ojo7fqB1WrF\nZrPBGMPxTmcQSySMoEEYavOtr1r5/tGWeMe+QSOrC4vbKN/vBIcrFTRUQrbEEnn48CHfffddQ1/e\nMaRIKZ07F4qdFkT5vsqJx3mDlUotihZhewPx6dGzI6gQ9qZTzlxw2F0IX6wbrIDU/gJCM5bKGEeC\ng1hado6vivXTjD4a6gqN0eVxxRPyhlSVuHu4tKUjUAhYU+nsRITGGKz3dKaiqYmInbWUsmWbLiI0\nXnpKFaqMxESz3O2aBmdK7S9aDk2+AeUsq5JKgWRwRlH5eA2NCRatwmq1ZbN5e1J6zpmTkxMePnzI\nN9980+7pbNFQWe+GFEaEZ89H8ty+kZGUDxxupXx7mpjv2BTqaff0Tiu6Wq1IKVFr5ejo7Q3jsFqx\n3iZKrdz/CBoa2eUf2VraZD/D+oYZJloV7LT8FNgNH42j5orUhHfCdjCU+tJNsdbKclCsUTpryUVx\nRajeESYe/sVYvFGM90jMWOmJ6ZSh61n3HZq3BLuHjZlq3e6envaZrPWEzlIT1FKopjU0662iu8+U\nNSNY1lvY6w1DibCjnLlraKC981DrebjzdSrlSIw7/aw258KPgdDcuX2roU1R2azffk8/ffqU2WzG\nixcvzvfRmLaEYqmuGW3NjEGj8v2LSLr15mcx+w49LZwkpTeGTTXUXgjZMuaRFy9ecHR0xHK5ZLvd\nUi4JSIXd+fsa9vHwgRuat3Vdv/nNb/jd737Ho0ePODw85PHjxzw7fEbIhhIqyyLn+TNPno+UuXnz\nxhCh+8Tz1R/WjZcvwqgFO1sgw0jRwtOnT7l16xZ//ud/zuHhIeNbLCrHzYb1UKBm7t/78DD2WWaF\nldKmNBW2Md0MAlVBjJ8cEmq8I/gZtmRSVnCVIEJ8xd8+qTIOYGzGOqGkhGTFeJkMY4PB2IqzENUy\n93tIyZz0hk3XkeMpTvYwWclmlyg+lZdrXWvUaqHmZoGcasIky2bX0JxNfdZby6IXhhzRVHFGsBNR\nJ4DFfkM1Tm+w2eWSiGPF+Yqtiu0+jtCw3y3OYzWcHp289ee+/fZb/uRP/oQHDx6cDxDisCLYOWrK\nOUKTjzLfVYVLOOM1GBD45vnIvrWsVVCnhGwZ0sDTp0+x1vL8+XN++ctf8stf/vLSxub4+Jj9EIil\n0TjNxI31fZQ1DhMsssusqOVmAuLTk0bbms0mupztGpqZQk4w1hGDYJhd0NAMqZIZ2AuBTRZqVpwo\nYUK2VCvB2kpbwgOhBpyO3LXh/OHLQJBAzg4TwE90Q8IYjLNtClwgl4r3llQHxlcamm3eYphhgcx2\nZ8Xe7OUnIzR7XRvubK5/T8fSdFQ1N3MTdYaZ+/D6Lmj6gUxD348vMTpQVb744gv++Z//mSdPniAi\nHB0dsdquCNmhvrLStlfXUnlyHEmXXZpOkNuW3369ZnbmSkoh9Avipl3Tjx8/5tNPP+Xzzz/n4cOH\nb937Nssl26FQBO5O1JK9nzLYLuBUG5simUutwq9atVYKgvTT7mloeVRBLJoyEPEzKNFQqzlnU2xV\nIRpUEiKVnBNGBbwQJl93BusMwRuSCjO7Ty0D695z2ntqHundPjlVCJbOT9TF0YaPYeYwpWJKaSoz\nSdTUrhtoTIpcLK4a+h6GEtFSsBhCN33g531Age0NcuNiTgy7AGxTKz58+LBcgLuL2ygFonJyurz0\nZ3LOPHnyhJ/85Cfcv3+f77//HoC4PiXMb1OopFqbicfzxJdW2bskzqTsGexGebROzcRHOR8+Hi2P\nePjwIUdHRzx69IivvvqKX//615fe14eHh9y5JoPig/6Fj46O3vgAJycnqCp//dd/zS9+8Qv+8i//\nkk8++YTD00NCtlQPy9JcjnRUHq8z2l/+tt09z+mzxHIozK1lo806LsTCNm55+vQpDx48wDnHj370\nIx49enTp7xnXazZDJaPc+cB5FWflwxxLRqQdfGJMN7J41VKoYvFTYWzXLF5drqRSqLbRrtIrCM1W\nFZMsKpHOGlLOSIHaecLEQ4KIIXjwTojV0dkZTitPbs948ic/ppbIzO0Ti0GdoTdMyoSBM4tXh5M2\nzQ22kqUgI2x2U4OsGa2WmgyLhTDkEXImIPhraGhu395DEVbvmJL8UKWc2I4tJ1ZKMwX4GDB25z2C\nIdXCsN2SL0EZDg8PERHu3r3LwcEBqsrp6Snj+pQwPyBroyZ0xhCfRr7wyuIt6GF3y/Hbx8MOoYHi\nKyEZjpZHzOdzHjx4wM9+9jP+7u/+jlu3bl2Kvh4fHzMXYaiN+/0xyhuL8RaM4mpDPG7Ct1+fnDRd\n3EQNjbEO6S1dhZqVSjuQp2JwxjHmNugZUiXngUVwrGNr/q2U5hw0oaERMVjbLOjFBYx6Ur5oD5zy\nFq+eSCA4aT879druAoFKzYZcCsZZko4Mu4amaCGVRNXQ3JkYGWIl1EqYdZiJaOdi5qlAGa43TYSm\nixtjAdVmbtIJ/UfS0HS9J1cQrZc2NE+fPiWEwN/+7d/y85//nB//+Mfs7+9ztDwiJIN6ZVWEhbXk\nZebrqvRvMVrofxT49pstUitehFjB7d0mb1asN2s2mw337t1jf3+fvu95+vTppb9nc3LCMjbK8a0J\nOSrvq0QM1rmmazQK5Wb08FoV1Rb+PLWMs8yAmmpjZLi6i1nw53v1ppS2V5vUBP0FJBeMa86fU+rM\n7CN4w7Y6Zn4BaeTJp5/w+O4+pigzO2OsFmOg7yairuwMTHqHyUKtGa1CNQkTzbkxwFlenJdm976N\nCXLePXc62tn1PbW2rJXrVoxxlzsnCIWu+zgIzWI+oxpDLHD0luHj48ePuXPnDl3X8dlnn3F0dMRm\n2GCGiJkt2O7QGYDhaeRLX1n4S75HJ0gQfv9s2OlohOIKXbIcnR5x9+5dfvrTn/KLX/yCv/qrv6Lr\nuku1MoeHh9yaZCH+sj7oaSiEwHJ5sUv8/vvvefDgwYX/WywWHJ8e06W6s3bN54vk7ynsvUUsJ8Gg\ne4bvvt82YwBNMJsRYuG7x99x+/Zt+r4tFJ9++inL5fJSaH1zckLcFJTKvY/U0DgXsE4xFKg0+9Qb\n/L4MSJgOY1vncM5jSyFmPW9o4itBfFtVJBnUZIKzpJQxuSLeTIaxX9JThFgtczFI7Vj3hW9/8ieQ\nInM7IyJYA52bzss1xmKCozOFnMBSGCswco7QnGfQsFskc6IUwSK4a7gQ3T44IIvl+OT6Fq8xjYwR\nnKlY6k7w+OEXSW8t1kibLqc3ubmqysOHD/n888/P/++zzz7j4aOH1O0Wt3ebrVZmxlDWhe2oPLL6\n1vu6u215+nzEiqFUQ5JEVzuOjp6zWFzUj3z22WcXYHNoE6j1ek0ohQRn3KcPXkYctg87e17QXNnc\nwBHpdLlGVLh7a9r1aKwDZ+gqlDFTGdEKY6rM/fycdtYQmpHF3LMeGz3TCzhnJyI0O0ckwPcOSQ4t\nie9Pfs2j41/x6PhXpLwlqKPg6SzYibo4AOs9vVVqbq5I3lnyKw3NNm+Z+RljBifSEJpY8TVjw1Qr\naui8RRByvL5mIuZMymBqo76qdfQTtQzvq/rgiMZQhviGmYeqng8EX91DFosFR6dHdNGQrbJR2NsZ\nAnxFYf8tQwq3sGyk8uxp3FHEW8ZUiIVvH33Lj370I8zuGvv88895/PjxG4OTlBLEyLokKsLB/MNT\n9UQsrgt4tG1DpbIdr9/Q5BKpBmQ+PVPHdJ7gHLUotRaqq40une05m2KjioyGajJKhdwol3R+8vV/\nlkXTOWEshpnpcAoPH9zj+X7Aq2Fme8bqESv4a2hojLH4nS12TZUiSqoJSebcujmWSMwOhyEEZZMU\nWwrGeMI11vp+b49KfcP19KqltZJzIRXBWMVS8N2Ht2IHmgU8QtZ8aV5WjJEXL16cn8Gdc9y/f58/\nfPcHQiwwmzNoYWYt5bRwWJXcyRs00rPqbzt+//2wy6Op4IUuCcfL4zf26jPmxgVzqR0VLV/TCv+D\n/oXv3rlzgXa2XC4ppXDwmvB+Pp+z2iyxY0ZDT6qlwV2nmT9UZe+VRVJqxJfvWno6kA4s335z1tAo\n0s8x28j3Ty82TsYYHjx4cEEEBQ3yHdZrTnOhItz+CAF8AN52u6lPE+PmnCd59L9eWit14gQG2uHH\nuGYhXbSSJeKNIb0iNtyWgkSh0IKkcsm4LGhwhImUs2bbDNZWxmqZGYuUDk0nbNIKT6W3M4YsWGem\nc+3ZITrO0plKzRVjK6kqkirr3BbJVBK5ODpjCAHGHKkp48XgrwFjH9y9RUVYnlwO+16lxpTJGWTn\nchY+0iJpjcN5ISqMMb9B3Xz69Cnz+fzCAnb37l3Ww5q82kA/YywNRU2HiedzaS5VIrjyBKeviZL3\nmo7m6TYzt451iXSzA44Pn72xSHrvuXfvHk+ePDn/v5OTE/b39xmXSwbAXuM+eB/ljMPOfLPnNaBR\n2d6goVmfLqnA3YkHOWMdeAjVUHJBJFErjLky8y+NAYZUiXlkPwSWKaPF4s4QmgmDkWb0AVWg6zwm\nWvbtAT/a/9n548Ddw2lAncNZwdlpujhoIXydhVoEVaUaS9L4sqFJW2ZuxpgqFmEoA5oyXTb4bnpD\nE7xFqlBuQDFKOTNGxaJUAdOZyeLs91X9XkcxsD495eDg4AJK8+xZu9depzcuFguOj57TdXtEDL1U\nrAhHh4lVJ4RXKM5Wj/DlJSsiHlgePhqYG9OMe7oeNiOHx4d88sknL99X33Pnzp1zKsxZjeOIVW1r\ntrEsrrEu37wMxgccpZ2mqmFM16eHp3GkILhb082IrPd01iElkZK2ASNCKhcRmjpCI281eqaTggnT\n6csiBucE74VBDb0JWDVs0xItx1A9M2MYsTgHwV8PoZEu4CloqQSjxJrgVYRmF6/gBbwvbFJBVDG7\nvK2ptbfYb3v1NfWuLVsqM6aKo2JqJkyMr3hfNesCgmGs7dp6nY796NEjPvnkE/wr57RPP/2U50fP\nqZvhPANyZgzxWeTJnPPBui+PkHqRbutvWY4Pm4mPFyXaQBDH8dFz9l7Tei4WC7z3FzRyh4eH3L17\nl+H0es6RH/Q0dGc+5/j4+Nwa7vvvv+ezzz57AzUQEZxRsgoRS2cKIsKzZ5Fxz+B2lBGpG3z6F9bb\n32NqE2bODhxfPx+ZYRhLARc4OV4y6z3dazDW/fv3GcfxAmqUUkJyZpmVKsL+NSDL91He9bgzhKZY\nNEWGG1i8VsB109yQ4KXexJVKrZaBNU4v2kE2hMaixDa5zYKpBYLFX2Pq4yx4YxiqYy5CrT25LMnp\nFKueuThi2XHmu2vwcq2D4JmJorE2vVVR9jphO9Qm1NVETM2y2fvdwTMp1hhCmI7Q3D24hYrl+Oh6\n7h3QkuVzqYgFoeDDx7GCFDH4zhBF2byWRTOOI0+ePLmAzrTnCAf3Djh9+gLTzxlqYW4MulG+pbRZ\nfK0M29+Sht/jysuGpAZDEfjuxcjcVBJC2LvF6fGbCA3sFuTnz88nusfHxxwcHDCcnjZKzUc5+IAR\nSw22CesdlFTZ3EBDs91pN25PzEUyYtBg2JPmQCOSKKU1MLNXrJvHVMk1cXvmWW0TNVcc2gw7pr0i\n1jaXOt97SBapcLT5lqPNdxxtvqOUhMmG6iz+3Llw4n3dBzwVVaHmQrXNiXHcuRdu0oaZnzHkihEY\nykBJSidNQzC5oXEWlaYZvG7FUhjHsjNlUPAeKx/n+tzbnzVTgOWGg/3984ZGVXny5MkbTApo+q3t\n8hgTegYsM9Ps+58tM6V/tZk5pIy/Y735LdR2zZs9w1fPhgvDx5Nnh+zf2ce+xqH/8Y9/zOHh4QVG\nRYwRkzNrLWDNR7FiFxF817VMJ2m5TcMQr82m2CxPKSL0E40+oFHOrA/YrIwZsAkn0sI1S2uyVkl3\n1sa07yGCF22OmZN1CwZnIHhPzIa5GAwdJZ+i6RTVnj1M26sFmjHtNRoab+hE0dgyy8aqBDh3JU0l\nMRa/Q2gKY1RcqW0Y66fvj/u3FlSB9XA9bVwBSk4tO4eE2EJnP85gPDiL+DYw0HzRunm73XJycsKn\nn3564TnOOW4d7HO826u3pTkHl1Xhi6rMrCB1y3b7FS5+gdGX5+e6Z3HbyqN1ojdKVEuxAc3jhabp\nrB48eHBhUHF4eMjd27f/dZgCkBJ7e3ucnJywWq0Yx5G7dy+3WvSiRFp336GUbeFFVnQnAjF6ik+/\n49G28HzIlNQmP3NveIxS1oVcG01qOSQO9t+EcEWEzz//nC+//JIvv/ySZ8+esVqtsKV1+WA4mJyj\n8n4quIAYWkOjFin52gJi1TaPcfNrLJLW4juH04IWx5BXWHkZ2HXmmjJzlailsURiaaJ177FTnVN2\n01znDDELHRVbZ2hZU8oxVbtm9ZnBOEM7m040OrCOGtp1pdryNVQUTMSk5pB3xsu1CN6nNuXVhBV/\nLQ3NYrFAamV1dL3JQ62VGDO5VJyAqQXfdXws5/XQO7Iq26EhNMMw8PXXX/PrX/+aBw8evDE8ANg/\n2Ceutgy0BbY3hrIp/Com9r3B1FOOxxUPR09JDy80NW7f8tXjLR2ZWD1jlRY8ewn1KYTA3bt3efLk\nCarKcrnkYD4nxkgWrmW7/T7KikM6h1XAViTnG7mcbYcIarjVT9SQiUGtMDMWHQpVIiqwGhvl7MwY\nYD1mai3s957TVCBbgmnp3VOqhfC1w8csCFkNt90dboWOWyFwKwRud3exyYK3eAPOTdfQmL6nF5oG\noShDVax1LDct82Sbm2XzatCdbiNSohKqQa7R0DgnmCotnPCalXdUXmMFasH1HydbCmBxa04xyhAz\ne86d58A8f96mq5eZT4gI3sCoQqwNoSnLwneUc62a1UOIX/NosByNA0bbRHax5/jmONJXYdBMxrBe\nbrh1yV7tnONP//RP+e1vf8tXX33FZrNpCE0pbHLBWMV9JGTL2Rnetj2PKqScr613XZ4eoxjC7emO\nbcY7rPE4LWRVihmxSLNu1sSoio7C3kyJRalSWnbc7rlTr38RwflKcC0weibC/0fdm/1Idmf5fZ/z\n2+69sWZmZS2s7mk2uzmaAaZ7GvpTZcCGAS/ygx9sPQiy4JEFw+MF8ECyZM9ImmlNk02yu1nF2jMz\nMiPiLr/VDzeqSDaryMrbBSZ0gHxiJrMiIu/5/b7nfJd0YFOkeIXKMxol9EnQWuPshGdajZvTl+6F\nWiW6ICyayPCV4eNLN1KtPV0omDTSSPWEv4mT42MiwmY7jU2RSiH4QM6MWj1dsDdlxa7G2AmfIz6M\n1OuzszM+++wzPvroI+7fv/+N4QHAejmjHyK9Dww54QKg4NNuPKuJz3nW93zRFUz8bHzGAbSQauHh\n84GajGfsC1Ze3yNXq9UrF9TdbofWmrqUr2WHXae+19tQezEKg146mb1uO/OyjGR8UfgiVIcm+TsS\nVoHOL7Dxcx71CtHHNM0HeP8YSkGJkGrFozNPLYWLtme5PoH4ep7z0dERP/vZzzg+Pma32/HgwYOx\nSWZPUYrFDV1+rHZgGa08AyBf0qGuWzF5MoLU19cDqVcW0uPkc59a5rVi6A1D8q+aZF15Oq9QEslJ\nsJLBmWsLbUFhTMHVmj4KLheMmkMcCP4Cck0N9BG0VlRm2hobo5lJJkdFKqBFUUyPDIr2ZZOMCqsU\nxgS2oaBTBmOxEyhL60UDpRB30wBNepkoHgqojBBxVX1tTdS7qnpmySoT+sj5+TkfffQRVVXxs5/9\njDt37rz2Z6JvuXfrDs/PXuCLxvlIDzwaEjMjlPCEpFaczH/CF52G9PQVqKmPDJ8/HXAS8dTscmBl\n3BuzaO7du8eLFy84OztjPp+ThoGSxumZa27mcNGikMpiSkEUY2bFH6C/GHwAKawn9CixBquEHCK5\nZFYzeHqWGdCkMornt12PtQajMnsfICusyhOsUBWiwaJoak3OhlxOWGr/6gs5gqTBjf8uLRM2NJXF\nKshJkJho44CrHF3bEnIegZo4Hm0St2eGoQyk4KmKjIDmmuYiwNjf/hDxcIz0XURp0LlAfTPOhQDH\nqyVFFcoAfduyXq+5uLjgyZMnr93OwGgxXKsxJNejcZJI28QnObG0Cp3PUeEBD3vFavY+ytwh+ZHm\nXRnFzsDFZaSUzNOzDbdP71LecFafnJzw85//nMViwaeffjo6reU8Mheqm8n5ALCuQkxGSaIkIfow\n+UJ2ebEBhGZ5/eGjtgZlHLpkchZ2qcWIwh80NG3OKK9RylMoFAwlZizhsKG5/llttaKyiiEKlYDO\nDTFdUXKHKTW2FPqo0EaojGLKhqZYg1OZnApGCm0URA3IV4aPg9foIii1p88alUbK2XWDPAGOjlck\n0VxOBDS5jHb3JSm0SkCmNjdDOdPKYGshxUI/RB49esTl5SWr1Yo/+7M/+xq186uVhpaT49tc7DoM\nBekKGw2hFKwSgv+CqvoB1t3hYafR6REmjZsWt9J89rinksyQx9gVI29+Hl5uac7Ozjg5OaHb76mu\npdH8sr7XDtAdqB9XV1e0bcvp6elrv6+UgiXjs6LL49QnXkU+IbMwYOMXfDFYUAtO5j+icbfYx4gq\n42Wx1MKvn/XUqnC296yPT/Hdm7MCjDGcnJzwwQcf8Itf/II7R0fsY0YZcBMeiHdRWjTGjdQLSYWS\noZ3I1fZdRwLqo2mUM1NZXMmULHS+ZT4HBkcXPfuUiH3k04tfYZ0b7WhjRktGzPWbpIjCqoIyEKko\nfU/dHKNiR1V6dK6plKLzgq0UYyTMhCbpDLVOI6CJAdGGjX9G6hNtGi90QxybpLUDl/1hja00ekIO\nzXpRAULaTWySQA4Bn0YaokjC2ptZYwPU85osGRHDH92/z89//vNXDoJvKt9uOT65zfl+j9M1ufV8\nniOFgiLT+yc49wNmbs2yeY+HnULl56i8RS8McZvYh4EgFdvgOTL1GwGNc46joyMePnzI0dER3WaD\n1jVZZVbXDKJ8V6XEkJ1B5zx6OSTN7g3W8W9Tgw8UFKtqwkXcGWbKQAykXLBV5J5zfHzRU+marW/p\n9x1VZYFE30coCkdBu+tvaJAyJndbIRZLl9YM+gO8+Qne/IQ23iJnA2Y8MNUEDY02FmsVEkGlRBs8\nVVUx9B372GOU4bN9YJ0dy7kwpEDqM1aZ8UI34UJsRIhlOqAJcRxSiBmt2MVZ9A0BmtXxkiKRVi3o\nzs85Ojri0aNHzGYzZm8QqfvkWWvLLnp8qagksr8IPDGFueow8RGPBkvj7rCobuHcPTp/jpTx7z7V\nio8e72i042Lfcnxy+5V18+tKKcWdO3f42c9+xvvvv4/DEEmo6mYGOzDqXbUqKEmQFJLCZIesq/MN\nGcFNYVOoMYTSpUzKjku/oTKKwY/08DYlUp+4CI9x1tINmRzBlYI4e+3ho4hC24yxmj5obAEtNTb3\nmDRg7QoTI10+bGhcnjR8zE5TSyaFjIimnlX8+sUvCd1AmzNdHIiDZTlXhLQnRIUmo90UowM4vnVE\nEcX28s2RBN9W4VW2lEEkglXU1+yZ76pGerjgpSBmxi9+8Qt+8pOfcHp6+loK2Mvy3ZbV8Sln+4Fa\nQ2oTv0ljQKYqe9rQUru7HM9+gDVHPOgMKj1HiqdaGx4/GzCSGBDaXFjqbwa8vqyjoyNKKa8ATXt+\njllMy5T6XgHN5sU5WmtOTk64f//+G6fLIQeqmKnXazZdwBLZXkTOTGEmHc+7DYjj1vx9RITKLBhK\nhaQXAKxXlr991GIpXPWe1fEpsW/fWqiXhoE+J8TKja3/jTZYqxEpaIEUDlPSCTXychV2OWGN/SqE\nL0NUbPuW2QwkCj4rPt8+5vOzX+PyjB/duT++x6FgJKOcQU/U0BgjZCpSDFR6PrqcpBYjM2xKdNFg\nDThz/YsPSoFSVKLIh8Cu9WrNVdvy27OP+PdP/5ad39EPhsYpYrykTQZVIkZb9ISciHljKUUIE22b\n08upT9RjEKCBytxMkwRYNjOyKeQBjheL11K/fr98u2N1dIuLdk+ta+K+49/1nrlR6LJhHzONGymo\ny/oOzqx52raofAVWKEZ4cbEDqbjoWo6qBu+7N/6+l45MLwFNUXOySty98/0H8ME4LdP1aC0sUsgR\nuj/EISsklFLM3uAO920lxo1uWikSohAJ3F0Z8l5zWRRXoaXre6rKUUrED4GSRhtYe20argAZa4TK\nFnI2qBh5kgaexJ4nsSfFQEkaMVArGW2/JjgiGashFCQmhpRxlaXvBra+ZV80w054b2kxJjGk8sro\nQ5nXZJu9RWmryPnLkL/rlk+BvjvYVOeCqs2NAZr18hhFYOdrNucXr+gg9+/ff+PPjIDG0aZAVww6\nel7sIqUSTNnzvG8R1bBuxg1P447YJ4U+0M7mK82/f3RJpSou2j3rk9vfOnx8WSLC8WpFzkIkU92A\nZfPLcqYGPdKhSIqSI+1ENsXm7BIpcLK4/kRfaYM1h7Maw3l7yXIuhN6yHfb8h2e/5DcvfsX5fsMP\nT26x956SFI40bnem6l1tIUiD6jsqt0LSQI4DVbWCviPSIKbQmOvrXbW2iNPUjP0ypsz9k7vUcsyD\ns0/5/PILuhQog2M+hyG09EHQqaCdeqtz6fdrvVoiApsX05y2fIyEnEamii5gyo0ZfQBY50gqs993\nb93jfLdjfXLKZd/SqIqw7/i3e8/aaVTa0CZFbcdz9Hj+Q6ye83R/jiotaqEpfWbfD+yCJhnFEv3G\n4SOMGrnVaoVzjv7igl5NC7T/XgHN880WSuH9999/43YGwMeBKguzozWXbcQOkec5IkaQsmUfI7fm\nP3714YgI1r7HMDyGkjFzRep7znvDedsyPznBhvStb+jXfv++x+eEuJvJ+YAxVVwZhZBGulfIk5vk\n5eWGrDTVhCRlpc3ovJNGt7Vd2GHsSztIy9P2jB/Xf4qTJeu5po+FHAuOMjqnTNjQaDWGR+Zk8CLM\nlKEkS/B7qmqFDD2+NBiTcfb6reoqMQAAIABJREFUa2yUQllDYxLJCzkn5oualTnlw+Yfcnv5Prfm\n9xA/YzEXurBlCBqbMmLMBPHkaPEKENs3X8C/rVIZ7UAlmzHvgER9g4DmaL0kSSD3sO/eTjzpux3z\n9QkDBVsMV5uOz2JideDk9qWmMl9uT45nPyQWR+/HXJkyV3zxbIuKimQVs8XRt05zX2ZmWGvpLy/Z\n9A1I5GhxfQehd1EiGl3Z0fnGZCQKuz8gsyLmTCnqa66Pb1vKGZzWqJRIWdGXjqaB5VAx4HjaXeG7\ngaqpyDnghwAZtJaDXfjbl4iilIw1+mClLBxnOFH2VbDmaYaIQVtFrRRw/UGFUhrbGIgFSQklkdo5\n2qHn+bBlh2Pta2YzUCrShQLR48RgJhh9AGhVjZbXE1PFfRjwcdxI61SQymBuaIh2tF4CmX0wnJ9d\noJTiz//8z9+4nYHxma5dg17OR/esXcdTMxrq+PCCLhVODoNHAGcaklqS4kglreaa3VVLHy1XfmD1\nloAGoAwDwy6QdGY+v77N8bsqZyzajFbj2SuE6YG5u6srMnCynJBDow26HgGNJMNVvxuHj77mzvIH\nHC9+wD9o/iFrfZcfnCzpQqQEwSiQSk1jU2jBGYi5IcVAbZfE0CEp05gZMWfIDjFlmiOpNhSrqVUZ\n7dhjomlA0fDj5s943m+IWaGyommgHa7oosbmhJu6oVnNyAX68xfX/lkYdXGDH3uQqELR3CigmS8c\npWSCL5C++w6ZSyYPPetbd7hoW2rT8Ox8zzNVmOmRbqbM7a8N+0/mf4QvmhQvQIQ4U5ydt/S94FYL\nKl3hvyWv6+joiA8//BCAbrvlMkwLyf1eb+u7wRNek/vy++X3V7hqhlnMiH0kd5onejz4YzhD66Nv\nIM3aHdOmjC5XIIKqE5+9KOxDoFqtcGkESt9ZMeJjIUmaJP5+V2WUQdUGRUEQSiiTE4gvnp9TgHo+\nQUNzcApxFFJS5Lgj6TEM7bT5MfeP/hi6OcV4VjNNGzIlCRUZcddvkjDS7GorSLYMuTBTCs0Ch6Ky\nS2KMpDJD6cP3TdjQiNU0WiFJKCUhWqHrgWEQlrLAVseUQTOfw67f4aNG5TJ5je0OmRVpohVkPKyx\nS9RoiWR9mAzeUC3WK6QEeq+5uvpuR5JSCqHf42YrqC0qKH53viXVCk1g8C9w9u7XnmsRwbk7xLiB\nUqiPDI/OdqShYJoaN1t8K6B5+f8AGLZbnu4FyQPHE4D9uymNtRZdIsKBRvoHZFaEPNrVNhMAjdQW\npxQqJ3JSdAdA07eKD5ojHnRb9l3LrHL0KY6HcwAOQOh6pYCMcwqnISVDJcLmd5+9+lIhkpLGiBzA\nf+baZh9KUzuLJIEcKIwbmq4feNhe8f5sRb9TzGZgjGcXQXJAozD1NBBhrIWSaCemiocYGAZBVEbl\nUZ8kN+RytpzPyTnSdsLF1Q5y/s6Jrm+3uNkS09TkAdJ+4LMyauJiOKNyt79B5avcPXp/hZQWaoVJ\ngd+cB5LR6NkcHeIb6Slfreg9qReSRJYTNhrvqrQ4tJMxzyVDTmWy2cd2u0UVOJ5fH2ArpbHOYACV\nNbuwo6oLEgVrT5iZBX2rKTqwnmv2IUEcdXHOGGSKy5kuVFWhRDvadusGVwyGBTM9DiRLcoctBVz3\nmRatEWOopZCDEFNCG4WbecK25t76p9yb/TGmCFUFu2GLHwSTMzIpWwfW8wopkLbTnLZ8SvRDxogg\nZXQldTcIaJpZTTKJ1CXyW1CcffLYkDGLBV4E4zWf7PYoK+iyp409lfvmQsKYE2IcgzJlAY+e7yk+\nYWYVrlng99+tHy4hENqWze+m3XW/Z0CTaN/Cjs23W1yzQDUVpR8orebT3DE3QoznGPtNZ7TGrtgn\nhUqj28JqVfj4scdqwQOunuPbt3hDvWfoE0kKs8XNXRitsqhKIWSUVqSQ6Sa66WzONkBhNeH1jBMS\nocqa0BdK6YkqYxD6aAgZ9peKxZHHKU0fIikKVhLauUlTH6UKxozhovsgzERRcoOTOY2qCUAKFqUz\no838tA1NrQspCjkmQhbqhafvQYLmbIhIEuoadsOOLozuMcrqCUYHYI1ClUyceIENKRFTQqKgJKN0\nppmQJv2uanW0QuXxfdvvvnuiGnLAhIQ0DcUacpv41a5lVo/0k11SNO6ba2ZnFvQpo2hxC8V2O9Dv\nAnpWUc3X3wloAJL3pGHgwVmAnDi5IUAjotD1mKmAKkg+JEpPpCvlVFB6TMi+biljqZVFBEpWdHSU\nArMZrPIKR8AHz6qp2acIKVHCmGV1XSv28VI8ZpJYLQxRuPuDH7G+c4/V7busbt/l3g/fx2eDMoXa\njhudKdo4VWskFUiZGAWj1egk71vuqKMx20sDaqALClPSqD245tbpZVV1TUHYx6kbGk8MBavLV7Kl\nboZytqzniCr4vWfXJ4a3HT42S/SsIvWesIfP0sBSR3zqMWb9jZ9p7IptVJg8TnPni8wvH3boypKd\nw8W3Gz6GtmXnFUU86xsbUoBWGm01qFE7WjzshmkXsu3V+ByuJwDsUd/psDmToyXFjnwYPr7oIsor\n+h6a9TCe1T5Q0hiRYarrhuV+qXc1rlCyY0iFRgxGFkiZ0SAMGXI0iIVqQrAmSoHR1KaQgkCJxCw0\nS4/vBYmKfRyNRJyDi35PjmAz2NkUU6Kv0MO7aXrXECMhwGGECc7QmJtxywVYrRZklSl9pn+L+4cf\nWpwYkjGYyuAvM3/Xdxw7faCGKxr7zedtBDSXUDLNOvPkvJC7gKor3GyJf4v3s2tbXCn8+mzagOh7\nBTRPqWnfIgF02F/hZiuyESpl2G8SX5SBhfH4HLHmyzczlcJZ8igxiL5FiC+gJKTJ+G2hLYU2Z6pm\n+VaXn+g9qc14nZjVN7fG1geBn5BH+8tQ2E3c0FxdXiIZTtcTAY2BWoAIKQeCihgUmz6jg8J7cHOP\nE00bAgyjS5F2TOLlKlXQekyu3nuoZNzW+KhojKGPoMSiLNQTxMMohWj9yuKVlPAR3CzifYFecdEl\njBya5LCDJOgCpppGOVMKhNGAYEr5GBl8gVzGFHVzs1OfebMk58gQFfvdWwwpfIcrCq81VWXYPI88\nY2BlFZLPaZOmtksukufyK9NZZxqGrEZurk0UbXj2dIeq3aFJfjeY6vZ7GuDzs55E5NZrsmu+jxLR\nWOvQksdU+CIMQ5ps8ZqlULSZpP1QlR0NT0pAotCmjhhhtYLdVvF+tWQpFbWFnRdUikhUKCvYCRoy\nUDinxvydonDaUM+XX35VFSGCUVC5caMzhZ5iK4sqBYmZkKGozFJX/NA0dDvHagUxQlY9/ZBRJWNE\nTd7GN7M5uQj7iSJwH8YQOsrBir123JQVe+0sQsZ3HVeh0L7FoMJ3O9x8haosadtz2UKsAk5a+iw4\n/eXmZJcjL+Iwal6pIb6AUqhmme1FIgj0peCq2VtdfsJ+z2UY/zbn828Cp++rjLIYC4qCQkgx004M\nzG27FqSwmvD3qLRB25EaHUOh5J6gxk3BRZdQQdP34GaeShS7ECDKaMVuzbUBzZgvBdqMWuMuMoYl\nJ0OKlplSdHG0Q1e6YO20s1oZTSNAeDl8BDsLeD8OHy/6jEFRVXA57MlRYbOgzBSGCFROo0ohdNP0\nrjEl+iEhCLokihGqCf+Od1Wr5QoIhGDfKtjb76+omgVtSqwqzW+fDPQ2UCnI4RlR5jgz4yz5rxmi\nODOnT6DKnqrJXO2FvvVQWdx8hd9/9+9ur66YWcsvL6YZMnyvnfPczNm8+PZgwVwKn2wv8PWcLgVO\nqhlPdj2ogOVlk/wSaFykQJsTgULjjmhjQZdLqBJ6n3gWhDaF8fLTvsUkeb/HB41IvDE3JBjtksUY\ndEloJZRY2PppQU+78wvI108Uh3HqkwxUWVOGRCiZQUZ/+xigDJqUQFcBpzT7fhTDOVUwE5qkyJcW\nf7O55qoTLGDKDKtWNEAXRrEgulDr6wsNXzbJShVSESQlYslEpTk6CuzONDGAYQQ0l92eEg06J4yz\nk+xdx9cG+S04rK+rmDPexzFlngxKqG+wSR6tlxTJDKHQ7t52krugy5mjxvLJk55SRRQ9Pmwx9hZa\nGfqS2eb4qlFqZSnSkOMGKZ5BCtsdRCWY+YpPdpfsvoPe0V1dUVUVZ5c7khROZjcHaLRWiCqHwNxD\nWOpEQBNzQU20A9VWY53D5AxofG7Z7WC5hMtLcGqGMZbKCnufkZIRMsVpnLn+3//It89Ym4nJwu9R\nL1VK+KhQWqidYaqGRlmNJVNiIibGqbkyODXj6grWa9huAekJQY1W/weqzpRazBYUKewnXGBTKcQY\nSBG0LkiO1LW9sQ2NsxaUkIc956pm/5UE79dVnxIfby/QzYKBzErPeBwiQoS8IxSDPQCaVAqXKdCX\nkcZW21Pa6FFlR6kTaVu4SmOS/UhPeQtA07ZshkIp8aD/uZmyMhrnCGNAao6ZbmKfb3sP5frZUgCi\nNKpSuAI5KnIe8CTM4axuzxSzWaHYhFMaHxM5QiVldKeccFZrVUZGRa3pBqhFsCxxssCJYt+DrsYN\nipkQrPlq+KghRqGUTEwKbELrQtqpV2e1tZnLYaB4MIURZE6hhxtNAVI7nU0x9AFByFLIVo0GLDdU\ni9USlQNdFnZvQaPz3Q7XLF+d1f/xYY9qEqrsaGOgdqekUmhz4uyQRQjj8LHPgip7lIr0OZCKYyiJ\nVM/5eHsxaqq+pbrNBrNac3U2Tb/0vQKarT3i+dm3N8nf9j1tt+OxcbQx4HTN//5ki1MB8hU+G+wh\ndXWfI5FMIxpfMrVdsXvpoFIFbB+4yJb/eLVjY2ue7C45D+Fbm024vGQTHWR/o4BGi0Y1DkUh20IJ\nerLL2cV+TxFhdc1EcRhD+IoZPeZLjMQEu9gybxRDOzbJo6NMIFFrTRc9EgWjyuGAvP7UR9T4gCwW\nlm0vmBSx1W1Seo9aKfZeUVWapAqNZdKE2jQNjRqNDiQnYoxEDHfvei6fK1IAqxTOFbZxICdBh4St\npvj1H16ZtqTJXPtIHwRVQKSMF8ubnPo0M4pkQoh037KhGXLm8TDwaLthVzU8HgbmTvGrx4GqTui8\nYRs1jV2RSiGVwkoZLr6ypTH2hBjOESJFFx7uLbsQeFDGFPOPd1eEb2mU3WZDbpZ07SWowvHs5tb/\nzoyZFVolShZyDAx5GqApCHoi7VAZjdYOUzIkIdd7tIZnz8YNho5LjDhqW9j6ArGgUwJjqCZuaIwW\nlIVM9Q1AU/zh6qUzI/trgtGBNogZgzlzyKQohJJx2uLKkv0eNpvx9c3XLT4JQsaKQb8mCPZtanG0\npCCT8oRSKWQf8Rk0CaUylb05QFO50YhGpZadW/DixZvP6lQKv25bhqHjkXb0OdJQ89fnLbUKpHjx\nNa3rZQ7MlEbL+JmMZ7Wgy4biErbLPOgTj4aBbdXwaLvh8TB861kd25Z9DyUnVsubO6uNNugDm0JE\nU0KmnUg58yEiRVhM4JEqbcAqXFHkfszCiWrAKEWMwtWZ5u5dTygj6O+HSClCJTJa+F77rJaDXbUw\nbxSXnaJCQO4hnGBLZj8Irhlpn1quH6z5pYEPkBQ5JUJORDS3bgW2Zwo/jGe1tYF9SiQfaRDEXD8s\nF0bjExEhTXSgHIJn6DPKCOqgJXbqBgHNYgk50kdFe/FmhtSQM+ch8GS7YeMaftd11E7z8ZOW1SKj\nywX7g7uZL5lKFAJs8zjMGYePc1K8QIonkfnbF/C07XlkKvp+z2d9/61uw/1mw86u0OE/gQ3NPs/Y\nX14R39CkHg0DPiXeCz3HiyM+2e/5q8eZp/3ALZdI8RxjjpGD9/8mBU60o1YKXzJOzwiloqQNlHGV\nr7D89eUWmgVX/Y7LGPm46954AWovLtgmjeTA/IaoKXAIenQaWzJKIOdCOzGzotu2UGA9Ia8CDvQU\nNARPxHHeXjKfQ+4UuzPF7duBiMFyWLXHl3kV06c+AiwWiv2gkWGgqmbkpHEZ2r5gG0Eh03i5gHYW\nZzQpgPhEyCOgOb3tudwINhgsY5PchUgOBVcEVU3T0MDhM01lkmbCx4gfPEoEKRGxilrfnMvZvJkh\nSvCxjJSzN2xJftv39Dmz21/hqzlfeM+Dbs/V0GBMj8p79jHS2PX4DItiqQyRQpfHPmHNGp+6cfJT\nEsiMf/7ggl/tez6cLTkKHZ923Rvf136zYVetyH43iugnOlq9i3K2HmnhZAgaYpjkXlhKppSCfk16\n+9uUsgZrqkNulCKkjh9/UAgBdjvQ/W2W1Rqr4conSgxoChjzrVlDbyoRhdOjm1cqlvz7F77gSdmB\nEWZmwsWHcUODVjgFJSYomSFFVrM5prtP142v7ac/hZg7QlSYFFHWjRqICXW0PiYL7N7S6e+rlUsh\nhkAMICqDgsrcXECkMxqpLLBj5444f8PwsZTCb7qOWfL81Dh2Ijztev6Pp/DFvuPEBGLcYMyoiRtK\nps+JtbI4UQwl09gVXcqQ9yRpqXPDrkT+ZrMnVDN23RZfypsvQKUQr67YhkxShZMJQZTvqoxYqEaD\nDaNHA5/tREDT+4AopjkXakOxUBdIIeKT0JUWKwobNZsXinv3PAGLVZkYIjkIVuVxQ/kHDB9XS8u2\nL9hSRsqXm2FiZNcrXKOxMhpfTNrQGI3ThRKhxEyMkYDh9NSzP9ekTpjPhJx7roJQQsQkoJoGaAAE\nIU50oEwpMnjB2XFYqq1B31CeIcByMaeQGKLl6nI02Pn9SqXwUduyiZFNu0XqOS/CwIMuE7ygdEDS\n5ZgLaRavAM2JtmxzxB8YFdbeIsYLhIBWCSNz/snDc/bF8mOtKb7n8zfcY0spDFdXnNs1w1vo3V9X\n32vnlN6wbwPta8SGZyFwHgI/KhFXNSxNxf/65JJtcDS1ocQdPu6xZrRcPU+BpTI4UVgZAY2IULsj\n2jiQwwWlqalF88U28KP1Cae+44Om4dRavnjNmzoMA2ddx+Ahl8T6JgGNMvAy/+Xgb7+bKCjfH9af\nCzcR0FhDrcZmIlnzYhjDNW/lhu7ScPt2GJukZPqYKGEUAE/l5YoqFGBeF/q0gL5jZh2NaJxA2xtM\no7BKYf6Ay4+rKyQBOZBJGGUpZmA+h3rT4LRC645dHCdetghmUqLyWMZoEoUwYSKfcmYY8ujgRyFX\nmmrCxfJdVW0NRQslDWxQ9K9JVT4PgVwKP65rTmPPH69vcc9aHl62SD0j5kIMzxHVYHT1CtCICMfK\nssnjz1s9o88KnS/pUuTULWjzwP/y+Z6tzDjyHU4pHrzmmS6l4Hc7XqgFKe3IzlBNpBe9i7KmQmlB\nJJGyRpXMboLFa86JLIKZOJnW1mCswaVMjkLJgUjhpz8d//tHH4FxCSOFTV9QKY3aLasnUi4Vxgha\nQ1KG3L1mQ1MsxSRmE8JyYXymxRmcFIpPUEaxvqkjn30GwwB//MdgDPS+ZwiCLgWnHGoioDl974gk\nivPNtzMPXlcJGHoPGaxKFEk36lyolaZyjlQGhtSwvdy9dvj42HsycDt0NPMVkhX//ItzulRTW9Bs\n6fPIqS+lcHEI31QiuMNZrZTG6GP88ILge1jMIcBFH/nw6Banoef9usaJ8Cx8ExyE3Y4tsGsjSQrH\nzc0BGq0MypoxH0xDibCLE+lKIVLQzPREQKOFCgUpkLCc91csZsLiqkEE6tkAYpEybjJKkfFcq+zI\nib5GvaSHC3C80Ox6g06JuamYVTXSd3SDxTQKLSNrY+qGplKQikCOhBRBLMe3PN1OcTvOmM8hxB27\noJAQcOhx2zhxOCAi5Im6uCF4hsDY53NCVRZ9Q86FAOv5ggRIjGxieq2JzxPvWWnNT5qG26Hjg6Nb\nHGnh718E3GpB7C/pww5njlBqZERZURhRHGnLefKUUrBmgc8RSVd0OXNSzWmT5y8e7Il2zv3Y06bE\nk9ec1f0wUA0DD7eapKYZMny/gKaDK/9NseEuRh4OAx82DWl/SbRz/vEnG4gFFMhiReqeMyTBmhnb\nFCjA8jApdwixjJPv2izZh0jpL0iLBXXUDDHxly96Ptsn/r/HF1x0hbMQv8G9//zigrspcRU0mXwQ\nU91MKdFgDbaUgyNSeSuHitdV2/YUmTb1ARBnccpQUkBnzWa4YjYD3wulgGsGlBgUmS4EcgErBTei\njev9LhkBjRVhPYeYKmIpzJRhWTWo4Gm9QtdqNASYMvXhEBhaG6wUcp+gRARHHz137446gtkMfNyz\nCxoTI64I2jLB3nIsqx0kaCc4Ig3BMwxg7JhNlLWivsE1dl07tCh8iugo/Obi4muT1FwKXwwDf1RV\nfLIN/N2Tc/7freL/fLrl0VnG3Jox9IE+XFC72wCvpj4AtdJYFNsccbphyCDxgoBi6yruKcFpxf/0\nrPDLR894v6rYp8Tz35uq9d7jhoEv9oZoBrR1mImf37soLe7A7Y4ULyDTAnNj9BTArL/p+Pg2pbTF\n1BUmJ2KEkjx9Gt0Ff/GLUWdiqoimcOUTKhSMgEx0+Xu5edUatDbfcPvLQ6CoUcPRWJlEu1LagNFY\nVUZHtgx9zGibuLwcX9fL5VwbhnE7S0JZi7LTLhynt47JKLZX1z+AYz70y2hGfZKG2t6k/bCirhze\nDMhgaHtP1309N+siBM5C4Cd1jd9f8bzU/HefXjIvBTGG7CrKcHY4qxv2ZRRHzw9/M9UB0MAYstml\nlug7wqrmTnH8ctPxlxfC3zw+4/950bEfhMfD8A1GxW83G060ZjcMoGA1cVP5LkqLRtUWlRPFQElC\n20/Tu6acUehJYblKG7Iu1IxbClU0537PbAZXV3B6CkPy1NoSciSlQIoFYzRVPWXbPxr4iAhHC6HP\nM6Tbs6gbZq4iDz2BOcolnAY1ISwXEbQxY1r9IV+qT5FKWcQOWAvdXpjPoUs79l6QFEY2hZsWlgvj\nZ/omJtF3Ve9H50KlC7oUcGYysHoXtZjNEZXoEiyGxOebzdfO6j4lXoTAPef41UXHJ2dX/PVe8dFl\nx/m2UJ0sScOONvbUdtSqffWsniuDQbjMEadn9ElRhueUes5lhh86xT5k/uW58OzinJ82Dc9D4OL3\nBhVt1zErhd88T3T1fwKAhquBKzfj4uxLY4BdjHza93xQ1xhR/JvPn/I/Psk86jw/qjSV13TLhuIv\n6FPB6YbLHLmlLSKC8p7Z+QssHLi5S7o4EIY9/bphHizHGv7Fox3/6lLxT371kP/m1xseXGUeDMOr\nD/YiBMLlJadK8aLPJIHTxc1NfUTGkLhxWFkgj+voKeVzQGUmNUkAZTWVUuQUUVRs+y11PWY0zeeQ\nladSY6J4CImcBasZ19hTMiukoIGjhRCzoy8jR1Zbi/QdgTm6yjg9crKnbmi0tRjJlAClRLQYhjxw\n+zbs9yOg6WJL54WCp8oK7PQ1tqkcmWmZFWNeRcGYw9THGpy+OepU7RyiFYlIbxrcixc8+gqYeOw9\nC63ZBfivPj7nrx6d8RcXwt+c7Wi8hiNH7Fp8jriDsH0omeXVFdXlyPM90oZdjqAMiQrfPWMwNaHW\nHKfREGK+XPM/f/qYf/Zgy3u24rH3nH2lUXZty6wUPn+eCLancfW1bYffZRlVYSvQkse8lFLYTRCU\n97stSYT6aJoYWmuDnlmqWAgxUcoIaAAWC/iTP4Gjk1HkvB0ykjOGglg1yeVPRB8CYQXjHKn/ei8r\nPlLEIKpQTbFi56WGYMysCBFKHvWS6+PMhx/CyVew3953o2VtTBjnxjyZCXV8fEQpcH727WY3r6uQ\nEimP23clAeUYtQw3VCKaxXJG0j10sPs9p7PLGPl8GPhp05CK8Je/ecw/fVZQUviR0hSr6eo5qX/O\nkAWlai5T4PggiHa7LcuL81fDR6cbfAqEvqdb16yipVGF/+si8dfnHf/0k+f8959esfd8rbc88550\nccEd57iKEUSxam6OfquVBqcPZ/WoSdv1E+lKOVGMxqoJgEYU2QmVaFLyqGTYDGO45m4Hd+5Anwc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7RLi0qFzmlAHYbQ6Pr9WqqDnJSAUr4yQ6o8BOdgHQaKXqByxqDvpEfzbVejMm65V2cRpjBT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\n4M4aBplTNiNiLOfHHeY8EH9uwd47iscoZlVBsaMl6lWV047sNFoSS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AGSGtgU6/Zu866X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\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ZYcNJlti0Jxz6yP78kp8/WrCyM7bXqA9AlnGG/4vebGgafnp/BsB8MuFiu+Xh4v4gFV2d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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "D = 20\n", "\n", "\n", "# Params of distribution over weights\n", "mu_w = np.zeros(D) # mu_w.shape: (D, )\n", "cov_w = 1.1 * np.diag(np.ones(D)) # cov_w.shape: (D, D)\n", "\n", "\n", "# Still arbitrary, i.e. a modeling choice!\n", "def phi_func(x, D=D, a=.25):\n", " return np.array([a * np.cos(i * x) for i in range(int(-D / 2), int(D / 2))]) # phi_x.shape: (D, len(x))\n", "\n", "\n", "mu_y_post, cov_y_post = compute_gp_posterior(mu_w, cov_w, phi_func, x_train, y_train, x_test)\n", "plot_gp_posterior(mu_y_post, cov_y_post, x_train, y_train, x_test, n_samples=25)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Not great. As a brief aside, how do we read the plot above? It's simply a function, a transformation, a lookup: given an $x$, it tells us the corresponding expected value $y$, and the variance around this estimate.\n", "\n", "For instance, right around $x = -3$, we can see that $y$ is somewhere in $[-1, 1]$; given that we've only conditioned on 6 \"training points,\" we're still quite unsure as to what the true answer is. To this effect, a GP (and other fully-Bayesian models) allows us to quantify this uncertainty judiciously.\n", "\n", "Now, let's try some more features and examine the model we're able to build." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/usr/local/lib/python3.6/site-packages/ipykernel_launcher.py:19: RuntimeWarning: covariance is not positive-semidefinite.\n" ] }, { "data": { "image/png": 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Cy2s0LMP9xWHmNjZYC0MW1tepPv884dwc60tXaKVnKDRqrK6rRWcQtJua30gG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/+PyEoajns0fGMUTIyi9TFbE4RHR1d1TM3EztgnHYpwDNxKGT2NGMYJ3mhy0uGcOml61IxA08Ui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\ncg5SS8n7bULwzCeT2HHOxXS2BAJZqalr0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "D = 20\n", "\n", "\n", "# Params of distribution over weights\n", "mu_w = np.zeros(D) # mu_w.shape: (D, )\n", "cov_w = 1.1 * np.diag(np.ones(D)) # cov_w.shape: (D, D)\n", "\n", "\n", "# Still arbitrary, i.e. a modeling choice!\n", "def phi_func(x, D=D, a=1e-5):\n", " return np.array([a * (x ** i) for i in range(int(-D / 2), int(D / 2))]) # phi_x.shape: (D, len(x))\n", "\n", "\n", "mu_y_post, cov_y_post = compute_gp_posterior(mu_w, cov_w, phi_func, x_train, y_train, x_test)\n", "plot_gp_posterior(mu_y_post, cov_y_post, x_train, y_train, x_test, n_samples=25, ylim=(-50, 50))" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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IyIalQCMiIiIiIhuWAo2IiIiIiGxYCjQiIiIiIrJhKdCIiIiIiMiGpUAjIiIiIiIblgKN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09iX91tVETWRIvLKOsedezXqmafTKs6Ra+3gzOuaOC14EusBZif8gmxvOhUs8K7bGn+z32bii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tXq1ZmYmTFjxowZP1pardyt5jUETauVp505pkLJKxHrmGF7yOrq6lnBsbjIrf19NsoL7Nom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\nKl34DV+tNXt7eywvL6OUYmRkpGHzZS6q2XNozuU4WQetZ8+ySfTHs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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "D = 20\n", "\n", "\n", "# Params of distribution over weights\n", "mu_w = np.zeros(D) # mu_w.shape: (D, )\n", "cov_w = 1.1 * np.diag(np.ones(D)) # cov_w.shape: (D, D)\n", "\n", "\n", "def phi_func(x, D=D):\n", " return np.array([np.exp(-.5 * (x - d)**2) for d in range(int(-D / 2), int(D / 2))]) # phi_x.shape: (D, len(x))\n", "\n", "\n", "mu_y_post, cov_y_post = compute_gp_posterior(mu_w, cov_w, phi_func, x_train, y_train, x_test)\n", "plot_gp_posterior(mu_y_post, cov_y_post, x_train, y_train, x_test, n_samples=25)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That last one might look familiar. Therein, the features we chose (and really, still arbitrarily) are called \"radial basis functions\" (among other names).\n", "\n", "We've loosely examined when we change the language through which we can express our model. Next, what if we changed the size of its vocabulary?\n", "\n", "First, let's backtrack, and try 8 of these radial basis functions instead of 20." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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K6BK61uBpJ4cuIZhiVBAXzZBFtJyAFHF3cT09CexjIK/yfPQXekqMOEMmEWiAVKnLjbNN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\nSj2+/FE99sjfNfPMsxRHkfabcqC+8qVPvaTWi5e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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "D = 8\n", "\n", "\n", "# Params of distribution over weights\n", "mu_w = np.zeros(D) # mu_w.shape: (D, )\n", "cov_w = 1.1 * np.diag(np.ones(D)) # cov_w.shape: (D, D)\n", "\n", "\n", "def phi_func(x, D=D):\n", " return np.array([np.exp(-.5 * (x - d)**2) for d in range(int(-D / 2), int(D / 2))]) # phi_x.shape: (D, len(x))\n", "\n", "\n", "mu_y_post, cov_y_post = compute_gp_posterior(mu_w, cov_w, phi_func, x_train, y_train, x_test)\n", "plot_gp_posterior(mu_y_post, cov_y_post, x_train, y_train, x_test, n_samples=25)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Very different! Holy overfit. What about 250?" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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WcdgUNMkvzpNsNvDzBdqlMl6xdNnwcrVMGJJsNkiv1kjXqgTJFCuuy0IQ0IlC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SbNXNw4dX1du8urWxPmlirMRO/tLbA5bspmANK7lqZFiccvYNs7jMfXiEZXUNVb941FInD27LQL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\nBF37aE1qgR3gVl2MOWPfn8diMRRFoXdIY91+6JJESVVZP0a2zPfHQ1S3t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DpElgSaNB5u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TjENrAo88h+FdWa5eQ3bvP58AnLlffYy3Z4mEr+2G6Nryze4ltPHjM3tsko8ls3Fvlzf+QH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\nPmhn6xCFv/nXfvhuC5r/9EHj6hXz1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RCo0kWiIxQrEkAiTm7nkGFlgXEqw+Ek5J9dSfGj\n8svlsjdj4Pv8g08/5a989BHJ6zxd7xCed1GxSaUie1km8+qqjO9HlZ5GIxIy5fL1X9IzZsyYMWPG\nzzvjMORpbchmSyPx4ZSh3Kcc9A8IRchqdvXS71ut6Dy7OX0GOgD7I5//4mGbuZiGfpqoJkQ0T9B3\nFIrLUdXEDh7iaqtIJVq3qJ5HonGC1e/hprM42dzUuYSvIvBceo0ak36PeCbPZFAmSBySzhvRfEgp\n0SdjrEEfa9BHG7sEHZNayaBl+CiKQnZuIbqoPxaw0+Wgckg5d3dqZQdAn4xJH+4TGgaDheXbV2uE\n4O98WH63Bc1/9dmn7O1sUFi8mvBwRuugihSCwvLaazdb1wKHjGpgq9MVbG9ywshtU0yuXQwIOmUo\nAgYioKJZX2shLqWkubeDM1LRjQ3mtwSK9LCCJ7j6xvkb9HU5yxGvrAv0yZjs3g6tO+8hNY1EfZdE\n/zH1zb/8VhsbtE6AUfPx503CzJR+mdN47JEjcA8tVtfAnmJFeyucVmJAAgIFiURFYl0IRCnJ7j7D\nTyQZlOY4HAf8k/MJfm3h+hLy6/L/bG9jeR7ff++9t7K9b4swjL5s2+2oemNZUZXGNKOqi+9fWNLC\nMBIw5XI0MHPGjBkzZsz4/zqPRiNyeyG5vI1ZmW5jCEXIl/UvuVu4S8y4OEGGIXzxRTRk81VFlN89\nGvJ/HA1ZSlxe3A+aCoOWSn4pJGkfoyDwtcsx0arvR3MJux0UJE4mix9P4sfit67chL7PoN3keP8p\n/f0eH6wsklED4kIS6BoTy2YkTcJawCjuYS7mSWbzWC8JKL3mMx40aZcHlFN3UK+7UP9CteZ1qkzv\nfMqZpkzIl9p0TvJXE7qAzvEhge9RWt187QWoLwWhlJdmy5whpKAz2icQHpX01qWKzRlJVceXgmbo\nUdJuV5GZhqIoFFfWae7t0DrYIVVYoZCuEqjlNxYzgQf9hkp5PXrNglgcL5Ek1m7gZnKkG09obXzw\n9sRMIDGPfRRX4K5ZSPvya+qIkJ7wkUBC6vjHMcpzEtv6BsWxokTi5ZRpz5Q6OkBqOsPSHEeTgB8U\nYvzltyhm2o7DSb3Or/+MgwDeBE2DQiG6BUEkXHw/quD4fmRDy2YvhM6s4X/GjBkzZvz/iYppUqu4\nJPY99IJ+Zfg0gKZqzKfmOegfsFW4GHauaVHKWacTWc+u48/PJfiq69JyQwrWxcI+VZQYtqB9oOHl\nipSyT0BduHQyFobBuFRhXKqgj0dYgz7xZg1jPCY0LQLbRugGQtMQeuRoUaRAEdFNDQJ01yE77pLx\n61Beo9uxGa6o1FUFaZoYgU6sLtHuJEjMZdCu8ZkHJZ10P8d45NDVDsknrhkToiiMyvM42TzxRo3C\n04eMC0Um+dJbb4/4Vis0//mDPaxgm72990kU9EvpDv1GjXGvS3n9zq3SzF6mF/oIJDntsqoOQo/W\nqIqumuQSy9erSE6rK6GHpijkta/XPC6l5OjJLl6zzd0fZPDNO2+8rcauipWQpF9oHNM8l9z2U4Qm\nkck2nblfmd5j8pqowxDzyCdMa/hlHV4YNOVKQS/0CZGkVZ2EqtM6VFGI/J8/S2KtBrFOm/bGFseO\n4E7a5G9sZjGuGZT1JvyfT55Q0jQ+elVNecaMGTNmzJjxc4eUkgejEQsNhbimYa9M77uVUvJV4yuW\n0ktk7Isekm43Sh29d+/Vz3MyCfjPvmpRsKLUsxcJfWgdqphBlcxyFsW6RWKtlOjOBN11UIMAJQxR\nAx9FSqSiItXTm6bh6Con7h7p3B1sM01jV8VMSDIlGY3k2PfwFk1E6ub1pDoK0fccqpU90okKCevm\nXhnNdUg0apiDPl4qjZPJRQPgX7qK+s5XaKQSJ1BLlEu7HB1tEUtJVA1G3TbDTovK+tYbiRmAsQwp\nvCRCoqmneyStIulY5cZtKIpCQTOphy690CejvVkW9tm2lu7kORk+5/mjDMsfyTeqFIy6CmGokCpe\nFgyhaSFUjVTzKw7Xf/nri5lQYtR9tH4YvZlfiGQOpaQnfBwRktEM4qehDKOugjdWqEyptn2bmMMB\niWad9voWdU9Sien8S+uZtypmTkYj+u02v/q97721bc6YMWPGjBkz3g0URWHONGkVfMydgLAcotlX\n11aKorCUXuKgf0DaSp+v7TKZaMi160Zuh+uYi+n85nKK/2Wvz1Jcv7Q21AworQpGtSSN5xNSy+lL\n82qu2XGCWJwg9moXkJCCxuA5sfQithkNzckvCk6eaySkR7Lt4S2biMTt1pMioSEzBvPDRQ7VPQwt\nhqm/2qceWjb9pVVU38fqd4k3a6QPqtEQTssiMG3CW84DfJlvqOHhegK1jBmXJOIN+k0VdzSke3JE\naXUD7Q1i6SCqHACYp9UXKSW9yTHt0R75xMqtxMwZqqJQ0ixGImQkgjfaHwBFulhin/z7v0ivqdGo\nHrz2NkIfuicq+cXwqgVICNRggkh4yGDKNKfXQOuF2M9dEOBs2pfEzEgE1AIHBZjTbRJq9OHz3Wjf\nCkvhjbG/3ySa65A+qNJbWqUpNeKawm/fyRKbUip+U6SU/NnuLvcXFjDe8D06Y8aMGTNmzHi3KRgG\nE1USljXcfffav8vYGUzNpD6qn/9OUaL+03b75uf5pVKMrbRFw73qblEUSFZS/y97dxYjWZYe9v1/\nzt1iXzJy37eqruqeRTOURqS4k7ZMAiZtWQQB2yJp0rQgGAJswIYNQ88GDOvFrwb8Yj8YfrX9YHgf\nwSZEAaJFzkx3V9eSS+W+RERGxna3c44fIrPW3DNr6e7zwySqOurGvTciY4DzxXe+72N06pDmNjS2\nJPoONsE0e5s40nttTex4MJKLCf9SEU4HVw5mTiVjHpnQZ0iPU++uofXVvuDWnke/NsLRwj0ayw+I\ni4N1bNBuUdrauNY9nHr/S1EhiJ05hof3aO+12Ft9Tm16Di+4eUvdnk7JnWQoUhVz0HlGlHYZK90/\nd+rpRRwhGHF9WmqQlbg2o/HVGqkzhpcrMf1wjsZWxNHezrVO09yRFIY0/hlvTf5wD51PaU08pLC3\n//YBVyBijb8e4e4nxFMeydTLlszKGA7SiLZOGXYDqo7/olmC1i+HQvkfsGhcKEX5+RqdsQkafg4N\n/Om9KmX/bvdlrh8fk7TbLE1NXX6wZVmWZVlfS0IIxnyfw7JBR5q0df4X27PlWXY7u4Rp+OKxWm3Q\n8ewyjhD8/lwJB+gkZ0QrwsXPZ5habGCAvWcOUff6r+dUOzwgSfsM5V8fG+IeJJTChGTZp9m+waYt\nRxBPeFTrBTKyQKN3/WBEex5hZYju6ATHM/M0li/Zs3eOD/PduvBIghn85J9hkmEyhZtPtTfG0NOK\nvHToRg322o8J3AIjhaUzi/+vyhOSmuNTVzGxuV5o7OlNjMiQykFb5fKYpFhborV7TPvwasFHryVI\nIvFa3cwpJ47I1vcJR1zatYe4cYTfPr76DaYGbycmWInQOUm0/HpU3teKvTTEF5IxJ3iR+TrV3JZ4\nWUOh+n7qr85kDOWNNeJCkWaxSifV/LvLFcayd7uLUhnDT9fW+N7cHM5dz/exLMuyLOujMux5dLRG\nTPuEz0OMOnutE7gBk8VJVpurL0aInE5z6F4h+KgGDn9vsUwz1qT67WsoWcUTTWpTmvKYpr7p0Ny5\nframF7doh/sMF+ZfqyP3dmKcliJcCCjPQb8tCDvX36qviw46IxnujpLqmHZ4cO1z3IUPtlnocLtO\nZmyEQrZP//jmC+O+0UijOOqu0w4PGCksUs6O30lnq0A6VB2fwzS6clDj6gOk6RPLlx0fpIShKYnj\nLdM6PKR7dHE+UqUXbDUDCrvbxEOSJBjFyID2+BSF3e3BJMQLT2xwDxIyTwffJoTLGdIR70UxljGG\npoppqoSa41N2vLfex3Z9EGhVJz5sE4DCSbarMTJBPVL84WKZ+cLtGjmc5Wm9TpCmzI6P3/m5Lcuy\nLMv6uDhCMOJ5HGY0btkl3AjPPXYkP4IrXXY7uy8eu2qWBuB+OeC3pvLs9FPebNKlRBlpumBSciXD\n2JJCa9h96lw58IiSDs3eBsOFhZfzYrTB34iRoSFaCMATSAeGJjWNbclNNibFEx7ekWZEznAc7hGl\nt0gn3dAHCWhaB7uoJKE09T3K4y7drb1L1+LnOQgP6XXXcGWGsdL9t+bL3FZOOpQdj8M0Ir0kqJH6\nGFftEzvzbw3PzBYNmYJHprDE0e42Ybd97nmOdiXZkiE446X4nTZu2CGuDuqRAOJiCe15ZBuHZ58w\nMbh7CZknITIyRIsBycTL7WUwyETsqwhlDGNuQHDGLJ+oO2gfPTzzYetmMs06QbtFfXKW3Ujxe3Ml\nPq3cfMvieWKt+XJ9ne/Pzd1Z62fLsizLsj5uo55HM0mQkx6qo0iaybnHzlXm2O/u00t6wGCAdbN5\n+XfMp359PM/DcsB++EYkISRalnBNEwDHhdqUfhF41LcuDj4SFVLvrjOUm325Nk4MwWqEkRDN+fBK\nl7VMYTAMvrlzgwWeK0jGPXJ7gqHsDPXOOuoWdeg38d6XpWGnTbdRZ/hkcKZbnsALYvr710tRxWmP\n7dZjWvERU4UFKrmJd7bozEuXkuOxn8bnBjXSdPHVc2J3HiPO7tBQGddEnRyl0TnqG+vEYf+tY/pt\nQdwXlMfOuI4xFHa26I8GKKeCES8zEu2JKfIHe4j05QdI9jTeVkzmaYjQg0AmnvYx/uu/9tho9tKI\njHAYdgOcM97HNIb6psPQlMa9+0TIlXndDoW9Heoz82wlgt+eLPCj4XdTyPPl7i5V12XsoqbylmVZ\nlmV9o7hSUvM89tKE7EKWaCNCn1XrAviOz3RpmrWjNYwxBMFgtlurdbVrOULw+/Mlco6kFb8eoaRi\nCEcfvfZYpmAYXxp8sbz71KHXenvNpnTCYWeVUnac7ElHM9HXZFajwViOKf+1sRynymOauD/oYntd\nquJiHEHxOEfOr9Lorr+VdXqX3mtAk8Yxja3nDE3PvuxoJiT5qUl6h310eHmOTumUZm+Lg84Kwq8w\nXVwg4+Xf8Z0PBm8WHZcDFaPe+AUJE+Gna8TOLFqcfy+uD+VRTbdZoTw2xeHzVVTyMurXatAIoDp5\ndgYkVz9AeS46H7/IzpxSQYawXKWwvYN7mBA8CfG3YowvCO9nSCbeDmQAelpxkEZUHO/cNtVaweFz\nh+Kwvrx94Dsk45jy5jpHkzNsKI9fGsnymxP5dxLIdtOUp5ubfG9+/s7PbVmWZVnWx23C92mkKWlW\n4NU8wvXzt57VcjUybob11vrgv2tX63Z2qug5/NFyhZ4y9NOXgZMWBYSJEeb1jmvSgeqEpjataO1L\nDp9L1MlyUumE/fYzcn6VQlADBt1sg/WIeNwblBqcQ0qoTSuOdl+e7zqSSQ+3nlKRoxgMx+Hu5U+6\nI+81oKlvrVMYGiaTf70JgBu4BCMTtDeP3opET2mjafV32T1+BMYwXnoAXon8HQyTvKqidMkLh331\nyvYzkxKoFRJnDC0vb59cGDK4niGNahSqNQ6er6JPKryau5JswZA5IyaSSULucJ/+mIeSpdezQInB\naaQkvSqFL1p4R12SSY/w3kmNjHP2gr+tU45UzLAbkDtjixkMUqb1DUmQMxRrH7AJgNaUN9boDg2z\n5ub4uVqG350tvrOs3M+2tpjO56mWy5cfbFmWZVnWN4orJaOex3YU4U/6mNgQ78fnHj9fmSdMQ3ba\nO1SrcHwM6hr1KDN5j7+3UOYw0iSnTQKEQMkKjm6e+ZwgD2NLCi9j2H3mcFRP2G8/JedXKGfHwRi8\n3QRvPyGaC9Cly9fMfhYKNU1j6/ohgvEl6YhHsJNSy8/TjZr042s0rbqF9xrQSOlQGjl7JkxhxCM0\ns8TNXaR+WV+ijaYdHrDb+pJURYwV71HNT5Oe1KicVevxLpUcj4J0B9vPdEygVkhFBSWvvi2pOqnp\nHQv87Dh+Jktjc53e8WBIZXn87JRmYW+bfqWCdNukYhTZ07gHCcFKSOZpiNPTJCMBjR9NkmUPnbv4\nV9tSCR2dMuoGBOL8Y49O9lJWPnATgNLWc9Ig4GmuxqelgN+bK525Ne4uHMUxmzs7fMdmZyzLsizr\nW2vM92krRV9rsktZ4t343FbOUkiWqksc9g45iuqUStfL0gB8p5rhX50usNNL0Se7gZSsvKijOfO6\nEsqjhupsn83dZ/T3RsjJ8UG9zFqMiDThQoDJXn3JXxo2aA2dxvXXWemQA8bgt6CWn6XRe06qzp/p\nc1fea0AzNDV77r8JAZUpj/39Bdx4HZMe0ervstP6gijtMFxYoFaYe9GloavT95qdeVVRupQk9OIv\nCcmTOhPXer7jwtCUorElKY1Ok8QpG5/XGTpnq5nXaeM3jlFS4+xkCL4yeNsxQkEy6hE+yBBP++iS\nQzQ0hHZdche0hz5SCX2jGHUC3AuCmfahIOoJajP6zG5r70vuYBcnSXgyNMlC0ePfWizjnbH38678\nZGODpaEh8vl3v5XRsizLsqyPkxSCCd9nM4qQgSS7lCVcC1G9s1MvnuNxr3aPzeNN/EL7yt3OXvWr\nYzn+1miWrd6g85kWeQxi0PHsHKmKOIqfMrtYY6Q2Qv0LSP8iIs1L4rngtSZQVyEEDE1pWvuS5Lqx\niBDEkz7eXkJAnlJmjMPuOvqaI1Cu670GNI578YyQIAdOAR5vBxw2/29M2mS0uMxwYeG17mX6xeyZ\nu505cmUmoWbWyDg1dszQtefUAGTykKsYmtsOjrsMpoFKT7bbaYPsKtyDBH81pPZPV4nTKm5aJypO\nEi5niJYzJOMeuuDwZrTRnpwmVz/Aid/+FDZVTGQUI87Zxf+nOg1BuyEZnlW85yTYa4LWEdlmg8fD\n04xnPf5wqULgvLuP7V6vR+PggIdzc+/sGpZlWZZlfT0Mex6JMRynKU7eIZgN6D/to+Oz134ZN8Ni\ndZFDtUKr2yM8v/TmTEIIfnemxINywE5fYYxBicq5JRn9+Ji99hNK2TFKwTBDScyM1+e4FLDZytx4\nIKcXDOq+G1vy2p2ITUaSVl383YRiZgRX+hz1tm52I1f0AZvvvqSNphPV2Tt+Qpx/RtQrUwx+g/GM\nIiPO6ARmFIGQ72zL0YVMQqCeoUQF35um4vgcpBH9GzTuLo9qui3B0Y7Hwr1xjj9fQ3x5RPZRiLeX\nIBS4skU4n6X/fUk0NkpazYF38etWfkBveJTi9usTWxsqJjbm8mCmKTg+lIzOqw/a0czt9yjubPJ0\nZIZaMcuf3KuSd9/dR1Ybw1+tr/NgbIwgOLtTnWVZlmVZ3x5CCKZOsjQAXtXDH/PpP+2fO3SzGBRZ\nqM7TEms83Tx/u9h5PCn4txfKzOY99kKFktVBHc0bkUWrvzuYM5Ofp2iqBCsRIjEkDzIMfSooj54M\n5LzhfJnCkEFKOD68wdazERcZamRbMZSfJUq7dKIbpKyu6IMFNForulGTw84q20efEybHlDJjTFUf\nMjM7RnNviL5cwlPbOPr1+SrdD5SdkaZLJn2CEkOkzmDQYk4OWh03VUznqj23zSADI3cTsnsxwwc9\n5IbH0Ng0O9EGnSWHaDFDOizI9Q/oTI/i6DrJG53NLtKrjSCUJnMyxLOpYhKjGXF85AXBTPdIcLwv\nGZn7sMGMTBLKG2usDk1QLBf403sVit67/bhudjrEx8csz8xcfrBlWZZlWd8KFc9DAvWTzrT+mI9T\ncuh91Ts3U1POlPnrywt8tXHI1vH2ta+ZdSX/znKF8azLbuhgRIA0gxpzpVMO2iuESZux4j3yRwHB\nWkQ67BLPvJwzmCsbxpcVxsDuM4fe8fUDk6EpTacuiXrXfKIUxJMe/k6CNILhwjyt/g5xet0TXfFy\n7+Ss54jTPu1wn4P2CtutL+jFTbJemYnyQ4YLC2T9EkIIciWDnzMc7eWJ3GU8fYCnNsFokpOf7AW1\nH++Co+v46SqxM0XqvB5YBEIy6gYnXcOSs/tuJwanmeKvR2Qehbg7CfVNh/w9Self9tjP50iHR8hN\njXK4tY7WmsL+LlGpgvCPSeUwiPNb7b1FCNqT0xR2t2mHHSKjGXGCS4OZ1p5keE7hfcgEhdaUn6+y\nma3g14b403tVit673feWas1P19b4zvQ07iVbIy3LsizL+naZzWTYjCLSk860mekMXs2j91Xv3Jqa\noVKW+6Pz7NQ7rDRXSK85bDLvSv5kuUotcNiNyziqPmiUdfwIz8kwLhfIrWhkXxMtBqjK2+sX6QyC\nkqEpRWvv9RbPV+F4gxbRjS0Hfc0KC513UHmJt5/iORmquWnq3XX0TdJFl3i/bZu7a6QqJh8MMVn+\nlJHiIvlgCOeMbEt1XNPvCPrdDKFzH2FSAvWEruqSl+77m9xuDJ7axNUHRO4yWp7dxtcVklEnIDaa\nw9NZNYnBracEq9GgE1lHo8oO4b0MB+Us6YhLfk7gZgXDc4rmjsTPjeH6Pu3VJwTHR3RHqji6RSpH\nrn3raTbHTq2G3NliRF6cmTk+ELT2B8GMn7n2pe6OMZQ31tgTHnJygr9/v0rZf/dFPCvNJm4YMjtx\nvQYPlmVZlmV98+Uch5rrshG9rE/2x3yC6YD+k/653c/GRz2qZhlPeny+/znb7W3UNRb0RU/y792r\nIoXH4/pPCOMmo8Eio41hgu2UZNwjng3OnDX4qswbLZ6v08EsVx4kGlq71w8bkjEPp5Ui+pqcXyHj\nlah31699nsu814BmovyQan6anF9BXlJpLh0YmtQ0tiVaO8TuPLEYIk3WKNO+8Ll3RZougXqMMDGR\ncw8jLl7pO0IwIj2yx4bOahvnSQ8RapJhd9CJbMZHVVyiSNBtSGpTL7uH+RmozSjqGw7Z8gz5zefs\nOg6uPDzJzlw/a9DRKYfVKmPCoXS4d+YxxkBjS9I7HtTMfNBgBijubFEPU+TcHP/gfpXKewhmQqV4\n9Pw535ubQ57VZs6yLMuyrG+9ySCgqxTH6cvgxat6ZJYyhOsh0VaE0a/v0qlWoX0smSzM8GD4AbGK\n+dn+z9jt7NJP+mfv6jnRT/pst7fZOHrEvzLWYzq3SPYgT2ENtC8IlwN08errpNMWzyPziu6RYH9N\nkp4/Wuf113GaaGhfM6HgCpIxD387BmOoZCfRRnHcP3tdelPiojfyTi8khPmvvji8/MA3NLcl2kBt\nStPRKaHqMiV2MLgkziRG5C4/yXUZhad3cHSLxJlEyerlz0kNbjPFbaToQNIpwUFeUfZ8Cq9koLQa\n7GOsTmiyxbff+7ALvS+OGWOT58U+YyMJcuhvwDVbVPe04kjFjLoBfqoYWnlMa3qW5JWhploNhmYi\noDatP2g3M4DswR6d/UPcBw/440+G33nNzKn/b3ubzsEBv/y9772/zJ9lWZZlWV87x2nKehjyWT7/\n2s4XnWiizQjVUQTTAV71ZZnAygoUizBystmmn/TZ7+7TjtukOiXv5cl6WbTRKK1QRhGmIcYYqtkq\nZVlnK1tzAAAgAElEQVTGO/JobjX4XzvrPCosMF683W4lY6BTHzSBKg1rCjVz6YiOqAv1TYexJYVz\nze/Z/bUIXZCkwx5KJ+wdP2YoP0vGK7517H/46TDGmGu9uI++WKA8rtl75tBrCTr5lLJTIBKf4Jg6\nQbqKkkUSOXG9+pLzGIVrGrhqHyXLhO6DSwMJEWncwxTnWKFKDtF8gAkkPjB6sv0sMpqq9JBC0NiW\nZIvmzGAGIJPVjGU2WDGLFDIr7O31qeVj/Ez2yi8jMpqmihl2B3NmtCc5npqltLVBY/E+xnUJOy/v\npTL+YefMAATNOt2dPXIPH/KHD4bJvcNuZq86ShKeb27yGw8e2GDGsizLsqwLlVyXguOwHUVMZ15u\na5GeJLuQJe2kRM8jkoPkRfOAWk2ws/MyoMl6WeYqg/EQqU7pxl36aR9HODjSwREOrnDxuz7JXoLu\naajB6A/G+N1wH7Fn+GkrZSrnXlhOcBEhoDhsyJYUjW1J71hQndQX7tQJXowckQzPXq+gJpn0CFYi\nVMnB8T2G8rM0us8ZLd7DdW7fheqjz9AAxH3YWgd3NmQm98o7bRSu3sfVh2hRJJVDaFF8ay7Lpfdm\nIlx9iKMbg/M4I2hx8VBFEWu8/RTZUaQ1l7Tqnjm4SBtDSyf0tcZrBqi2y+jC2QM0AfJ7OzhJTGu0\nSnd7h2Z3DCF2mLh/79I5PgCp0eynEVXHJ/tGyqWwu43s9Vnzlwl7kqFJTabwfn7/F/GaDcL1DYa/\n+5DffzhG5h3OmXmVMYZ/srJCJU35a5988l6uaVmWZVnW11uqNZ/3eixns+Sdt7/4NsaQ1BPSeooO\nNU7F5cttl4ffc8jmz16jGmPQfY1qK1Rn8CNzEm/Ywy27iJOB4mG4SWoE/8tegX922Gcs6+LfwbDx\nTnPQGKowpCmNnJ+tMQb2VhwKQ5pC9XprSPcgQXY18fyg89Rxf49+csxocfm1L5VvkqH5WgQ0ABv1\nhOjIYXFBvh0MmBTHHOHqJsJEKFlBiyyGAC2yr2dZjEGQIE33xY8wCamsoWQNIy6OEkWscQ9SnPZJ\nIDPkgnP5e350rFnb0EwvGYaCsyNqJ46orjyhsXgfT64Qi0mahxV2n+7gZzvMfX8R54JrKWPYVxFF\n6b62ze3kZdM7Avcn67hFF/H9qQ++xQzAaTYJ1zdY+uFDfufeGO4d/J/yqjY6Hf7yZz/jb//gB3bu\njGVZlmVZV3aUJGxEEQ9zOdwL6m91pEmaCc8fKVSkmRozyEAiPAEajDKYdPAjA4lTcAY/RQd5xtZ7\npXr0+8/I57/Dn+33+R8321Q8SeEOtumrBBrbEpUIqpOK4JyqjjiEgzWHscVrjvgwhuDZoL30aUe2\nw84qjvSp5qZeHPaNDWiUMeykIcFeDikEtanz01zCRDi6hSBEmghhBiNaBQbQJ39z0SKHFnm0zKPJ\nXZ7VMQb3MMWtp6RVl7R2dkbmLGk8iGar0yn9bEJ8sgUt80ZEUV5fIcnliWsSqY+J3SUAksiw+i/W\n0Spg5rNJsiXzVlBnjGFfxQRCUnFebr/TCrpNQbshcTxDpZYwfvCMqFSmNzJ2pft/V8xRi3R1lR/+\nze/y64sj73XLV6I1/8ejR9wvFFianX1v17Usy7Is65thIwyJtGY5d3k9dxTBo0fwnU81xAadaIQU\nCFcgnJd/XkW3+wVBMIPrFnlyHPPfPTtCALXM3XxT3WsJjnYlubKhNKrP3FXUrgt6LcHowvXKFmRP\n429EhEsZcAVaK/bajyllxskHg5r1b2xA01YJMYaq8Nl75lAcvmaay6QMGrqJa29HA5Bthb+boANB\nMu5d2hrvVVrD/mlqbmhwz32tONIJvpBUpIcjBH77mMLuNo2lZTLqEZG7hBEv62a0Umx8/gRjxnD9\nYYKcIVsyZPIGIaFpYhCGIRkQ9yHuCeJQEHYE2aKhWNP4J6eTSUJ19Qmd0QmiyhUaHrwDcb2Ot7HJ\nr/zi9/jh7PB7v/4X9Tpbq6v8xg9+gHNGutiyLMuyLOsixhi+6vWouC7jV9jp8fjxoI6mesulVxzv\noVSfbHYegMMw5b99dsReqBjPOjh38AWxSuFoVxL3B9mazBmVGAdrEj9vKI9cL5bwdmLQkEwN0jtx\n2ueg84yRwhK+m71RQPPR96g1xtAxioJwkBKGZweDga41sVS4IOT1g5nE4D+P8HcT4iv2+X793qGx\nKfGz5kUwA5CVDmNOgINgNw1pq4TCziadiSk8M2hI8GowAyAdh8lP5vGCLWrTLXJlQ9QV7K85PHum\n2VwR9L7Ksv3IobUnUekgkJlYVtSmXwYzANrzOJpdoLi7hdd9Py2wTxlj6G7tUNjZ5u/85g8/SDDT\nSlOera/zvdlZG8xYlmVZlnUjQggWs1n2k4R2evnQzOFhOLx59cULrjtEmh5hzGCezXDG5R8+GOIX\nR3Js91K66TUnYJ7BcQcdcCvjg6GajS3Jm+NzhqY0nfo11+RAMurhdDWyOzih72apZCdvNXTzow9o\n+kYjgeBke5YXDN7A+oZDEl383NtwjlIyz0J0IAmXrtfn+1RzW6I1VCff/mBJIag4HqNugHuwy44n\naWUljm6QyPEzz+cFGYamZmlurxPkImrTmupyTGEx4jv3HWY+1Uw9VIwtaqoTmnzF4JzT/E1lsrRm\n5ihvrBO0jq792m5CG0N35TnzvWP+zd/+m8yNVt7Ldd+8h59sbTHueYyOXH9YqWVZlmVZ1ilfSuYz\nGVbDkERfHEhUKtDrDbaf3YaUHq5bJEmaLx4LHMm/NlvkT5crRMqw108vnHFzVdmiYXxJIcRg7Mir\nc2gcD6oTg4Dnkpf+OkcQj3t42wmczO3JB0MEbp5Gb+NG9/nRBzRtnVCUr6/Ks8XBnr7D5w4queML\nnmRl3MOUeDYgHfPgBoXqR3uSOBQMz1y8tzBIFTNHLeTELHG6zo6pEnF+8JQtlijWRjjcWCNSKQ0V\nU3N8XCER19xRl+SLHM0tUtzdIls/uMaru74wSug9XuGv5zS/99s/olK4ehvqu7TR69He2+PTxUXb\nptmyLMuyrFsruS6jnsfjfp/0gpW9lDA0BPX67a/pujXS9O0TPahk+I8+rXG/5LNxR9ka6Qy+nB+a\nUhztSuqbEnWSkMqVDX7O0Nq9XkihSw4mELiHLzNbldwUqb7ipM837/FGz3pPIq3QQFa8fZuFqiFX\n0Rw8d95Kgd2U7CgyK4OsTLQUoHM3e3vah4L+sWBkTl3aSaywt01/qEbGjxiREs8ZpZ7GHKQRkTn7\nQ1gcHsUJfFZ2nlN2vBfZq5tIszkaC/fINuoUdrdvfJ7zGGM4bhyTefKIv7NQ5m//2g/xvQ8z/qin\nFI82NvhkZIR8/uK23JZlWZZlWVc1HgRUXJcn/T7qgszI6baz2yZPXLeM1hFKhW/9W8l3+KOlCn+8\nVCHVsN1LL7ynq8rkeTFUc++ZQ/do8MVwdVzT74jXsjdXEU/4uI0UEQ3Wu1JIhvPzN7q3jzqgaeuU\nojx/Emp5xOBnDPUNeb1U15uMwdtN8Ldi4ml/kJW54bf33aNBR7GRucunqHrdNl6vS7c2jKe2Sd0Z\nCo7HhBuQlQ71NOIgjYjPCGzM2DgyTtB3EOZr36e5sIzb71JZe4YT381evkRp2mub3K9v8ge/8l0+\n/f4niAtaG75LxhgeNRpkOh3mZmY+yD1YlmVZlvXNNRUE5B2HZ/0++pwAIpsF34fj49tdSwhxUktz\n9jpQCMF3qhn+489q/NJojr2+4jBUt96GJiVUxjW1GUX7UHKwPqitqU0pmtsvMzdX4gmSUQ9/K34R\n4d10yOZHG9AkRhMZTU5cnH2oTmqEA4fP3y5WugoRa4LVCBFpwqUMOn/zbEf7UNDaHwQzl/blNobi\n9hbt8Sk89lGy9GKYpxCCgnQZdzNkpMNhGnH4SmDTUglGCBan5uk0Dukdt258zy9ux3U5ml8mLhSp\nrjwhd7DLTaNEozXd/Tp8+SW/WZX83d/6eYbGare+x9vYi2P2Nzf5bH4e9woDSi3LsizLsq5rNpPB\nE4KVfv/c4OGumgN43jBJUr8wSMm5kt+ZKfIfPBxivuCx1U85im8f2AS5QbbGzxn2VhySSJCrGJrb\n1wst1JALQuDWrxMJve2jDWjaOqUgzx5A+SohBl0YPB/215xrRYayqwhWI1TJIZ4LrjxX5ixHu5JO\nUzI6r/CuMKMxd7iHCgKSooejj0jkxNv3JwTFk8AmOAlsNuMeRzph2PHxgoDazDzN7Q3i/jVbTJxF\nCHrDo4PBnv0+tWdfkWnWEVfo3AEMhpYeHpD+9HPmew3+4Jc+5W/9wvdw/XM6E7wnPaV4tLPDZBAw\nPPz+u6pZlmVZlvXtMZ/JIIU4t6amWoV2G5Jb1oE7TgYhfJS6PN0zmfP4k+UK/+D+EGXPYaunaN0y\nsBFisFtqZF7RPRJEPQi7gk7zmlvPpjzcwxQR33y71Uc5h+Z0kOaEm7lWL+3WvqDXulqGxK2nuIcJ\n8bR/q6yMMdDYkqQxDM/qS7eZAThxRHXlCY2Fe3jOc1JZQ8mhS58Xa8Va2sdHkJcuJekSSIde64ij\nvW3GFu7heHcXPPidNplmHb/TJs3mCMsVlB9gpMQ4DkZInDjE6/Vwuh3arQ46m+OXv7/ID+ZG7qQP\n+m1pY/hJq8Xx06f8jc8+I5v9MM0ILMuyLMv6dtmKIppJwlI2S/aNMRHPn4PrwuTk7a4Rx4co1SKb\nXbryc7QxfHUc879td9jspmRdwZAvb9UsyRjo1AX1bUnUFSz+ML3SF/yn3HqKc6yIFoIbzaH5KPfe\ndHRKXl5/MFB51CAdzf6qw9D02UOA0AZvJ0GGmmjhenNl3pTGUN+SSAkj82dPUj1LcXuTXm0E6R5h\njLhSMKONoaETJt0MeeHQNYqGTpA6pVQsko+HONxYY2R+CXlHdSpxoUhcKILWBO1jgnYLedRAKo0w\nGqEUiR+wJzP0MmV+eG+JX5+tUPI/ntkum1FEc3OTTyYnbTBjWZZlWdZ7MxUEZKXkcb/PfCZD+ZUt\n7yMj8OQJTEzcuGwbAM+rEkWbaJ0g5dW+1JZC8LAc8KDks9pJ+D93uzxuxbgSaoGDd4PuvkJAcdiQ\nLSk2v3T46s9cFn6oyFeuljhJay7Osbrx1rOPLqDRxtDRKWPuNcK6VxRrBi/QNDYdcmVDeexl22QR\na/yNGBNIooXgRu2YT3WPBEe7kmJNUxw2V/4wBq0jZJrSrxUJ1AqRe/9Kz2uoBE9ICnLwKysIl7xw\n6BlFSydQrZD2e9Q31xmZXbjpyzqblETlClH55dwYbQyNSBEq+G414LemCoxmPq6P01GS8Hx/n2Eh\nmJh4e0ufZVmWZVnWuzTkefhCsBKGVF2XqSBACkE2C0EAR0eDLWg3JYSD61ZI0wa+P3bN5woWiz4L\nBY/dUPEX9T5/ftAn1oaCKyh518/auD7Mf1+x+YVk54mkWDNUxjTBFZrLxpMewerNGlN9dFvOjlSC\nxjB0wy4Hp1Q6GGyZxmKQrVEKfzMmrbmkwzfflqVSaO5IklBQm1b41/jSXyhF7ekjWlOzyMzOyVaz\ny4vl2yqhaxSjTnBuTVFfK1ppxOH6KkP5IhMTM+9kzooyhnqkibXh07LPb4wXmM2f34nuQ0m05iet\nFvHKCt9/+JBcLvehb8myLMuyrG+pVGs2o4i2UsyeZGsajUFzgPtX+277/HOnHaJonXz+s1vfZ6Q0\nXxxF/NlBn43uoMin5EnyrrjWWk8lg0GcubIm7EikaygNG7LFi+MO9zDhH/7KxNd7y5kyhu4tsjOv\nctxBTUunKaj/FRRDReYzH3f4ZtuhVALthqTbFOTKhqEldeUtZqcKu9tExTIm28UY90rBTKgVbZ0y\n6p4fzABkpUPWz1GcW2Z95St6jsPYyBh54VzaWOEq+qmmeVKs9XO1DL88lmci+1F9fF4wxrAShkQ7\nO8yNj9tgxrIsy7KsD8qVkvlsluM05XkY0nAcxks+4aZDGEImc4tzuwWiSJCmbVy3eKv7DBzJD2pZ\nflDL0ogUX7Yi/vygz05/sBUsd5K5uWxt6XhQndC09iWji4qwLWjtSVr7UKxpsiVz5jo6rd1sbflR\nZWiaajAdtHrL7MwLxuBtJ9DRNIoB7baLnzUUapogd/meRWMgCaHblHRbgnzFUKzpy1syn8HvtClu\nb9BcnME364TuJyAuzhSlRrOfRgw5PplrDM9M44jNlce4o2PIYpGCdK/UMe5NShsasSLWg+j8l0Zz\nfL+aoRp8PDUyZ1kPQ+qNBkGzycOHD++spsiyLMuyLOu2tDHsxjEHSUJvz6Hm+Nyfv93aKo4PUKpN\nNrt4R3f5kjGD9eCzdsxfNiJWOoP1ugCKniTnnJ+9qW8Oas2rk4MvxfttQacuiENBrmTIVQZr8ld9\nrZsCpEbT1YoJ9xYh6qsSQ7ARYVxBvBxQdAR5regdCY52HdIIvKwhyIEXvB7UqQSiniDqCRwXsiXD\nxLLCuelONa0pbm/QnpjCY5vEmbw0mNHGcKhiio53rWAGwPUDJueWOFhfoRRkiTIOO2n4IrC5qNlC\nqg3NkyDGFfCdSoYfDWdZKHofRdeyy+zHMc1+H/b3mb93zwYzlmVZlmV9VKQQTAYB477P1ljCn/8k\nQg/DsO9ScV3cG6xdPG+IKNq6VnOAqxJCUAtcaoHLj4Zz9FPNRi9hpR3z+VH8InsjBOQcQd6VuCd1\n6tUJze4zh0xbkC2aFz9pDL2WoLE1WOMGOUOQNwS5myVaPpoMTVPFCASVG0cNL8mext+ISIdc0pGz\nz6cVxP1Bz+wkEq9la6TDizf1Km2YL1PY2UJoRTgOAkPszF36nPpJtqp2i2xVv31Mc3uDkfklhO/T\n1ik9rchLl+JJYKONoZNoOqlBAK4UfLcS8NeGMswXPALn6xMQHKcpq/0+cnOTkWqV8fHxD31LlmVZ\nlmVZF3r61EA+RVZSjtOUvONQcV2KjkPGufqX2mG4jhA+QfB+GyF1Es1OP2Wzl/DkOGa9k6AwnPwP\nJ5L0dxym72lc7+0vx+MQou4gkRB1Bf/436h+3BkaJwpRwdsZmNRoeloxfgfZGaeZ4u0lxFM+unj+\nh0A6kCkYMgUYvN3vhtftkDk+4mhhBMc0iJzLK7/aKiExmlHndrVE2WIJPTbBwfoKo/PLVDwPz0j2\n45TVNCQnXArCZb7g86vjAQsFn4ms+yKq/joJlWI1DMk1m+C6NpixLMuyLOtrYXRUsLnp8emEhzaG\nVppylKbsxTGpMRQch7zjkJGSrJQE8uzuY543Qr//DN8ff6/Nmgqe5J7nc6/k8+vjeZQxNCPFYaTY\n6aesdRIedTWPVqE2PcjmGMCT4EtBxhPkhwTF2s3v+VYBjRDivwR+B4iAZ8AfG2POHVdaWV/haH4J\n5b++UG/p9NKtUJcyBm83QXZO5ssEHz6zIJSitL1Be7yGK/aJnCUQF9/XVZsAXCTVhkgbImUI/RLd\nXMQXj76iOr/MUDbDz1cDZnMujgfS0UwGPmO+j/c13Z4Vac2Tfp9yHHN8dMTDhw8/9C1ZlmVZlmVd\nSak0qNtut6FYFFQ9j+rJoPREa7pK0dWaRprSV4rYGHwhCE6Cm9O/+zJA4aLUMa5b/mCvxxGC4YzL\ncMblQXmw5jdL8Fc/M/gVhSwpmpFiP0zZDxUHoaIeKeDmM3luteVMCPEvAf+XMUYLIf4LwBhj/rNz\njjX/9f/7iFz9gObcEtofbKUKtaKhEsZvsYAnNQQbMUZCPO2D83FkGIpbzwFDPNYnlaOXDtBMjWYv\njRh2fALpYIzBAMoMOsCd/plqSE/+NGbwyz99xYOIVzCccRgLHMZyHqOBQ9LYR/SO+e6nD3FeSV8m\nWrMbx9SThGHP+9oFNpHWPO71GJGS/adPmZ+fp1QqfejbsizLsizLurKDA2i1YHn58mONMURaExlD\nrDWR1sQnj3XiJkl6TCU39yKj8+LPa2xfexf6fXj8GB48GMzgeZU2hm5q6KSayZx37S1nd1ZDI4T4\n14G/a4z5g3P+3fynf7FLoX5AvnnIwdwyynU51DFF6ZIRV3+TX128O31NbjMmqTiEwx7i5HEhTv5k\nsOh/eR8vHz89x6vHvPr4aw9c5IznZttHlPd3aM1nQDr0xSynN/dm3GYMGAx1FZMVDnnpYgDNoDA/\nIyUZV5BxBBlHUnAFRU9S8hwKriTnSvKupOAJco4kc063iY2NDbrdLvfu3XstqIHXA5ua5zH+NQhs\nToOZcc+jub5OPp9namrqQ9+WZVmWZVnWtWgNP/0pfPLJ7Vo4G6M57vwEJ3OfGI++1oRa01MKZQz5\nk+1rRceh4DjvfY7g/j40GoPXed6lhRAfNKD5n4D/wRjz35/z72bjpM2b3N1BNhpsz8/TlZKFzDWm\nU54wgDpISHdj3JkAWRnsnjt9OeaNupiXj79+jlf/7c3HX/732++ROCfSEQBxTPD4EeFsAR3EuMF9\nnJPgQDBoQOCcZFWkEEgBG1GIi2Axl0EKgScFruBOZsi86vnz5/R6vTODGvj6BDahUjzp95nwfXq7\nu8RxzNLS0kc34NOyLMuyLOsqtrchTWF29nbnCcMNhJAEwetf8r66fe04TYmNoeQ4lN1Bd7W7XnOe\n5/FjKBZh4pzeBTcJaC6toRFC/O/A2KsPMVjz/yNjzP98csw/ApLzgplT/80//s9f/P0XP/uMUV/w\no4cPCfzrdTYz2hCuh+i+IfuDEvIjqJd5wRh4vEoykyeqJORyDy9tn7cbReRdwf1c7p1/mGZnZ9nY\n2ODJkydnBjWelMxkMoz7PrtxzOfd7kcX2DSThOdRxHQQoJpNOp0On3zyiQ1mLMuyLMv62hoZgc8/\nh8lJcG9R5e77o/R6j/D9CcQrtduelFSkpAJMBQGJ1rTSlEaS8DwMqXoeI55H7h1vTZufhy+/HNQO\n5fPw4x//mB//+Me3OuetMzRCiD8C/j7wG8aY6ILjzKvXetbvkzs4YKLTgfv3r/ybUz1FuBoi85LM\nbAbxsXXk2tkhbe4Szkqy2fs4zsXZp+M0ZS0MeZDL4b/HgGFjY4NOp8O9e/dwL3jvE63Zi2MOTzI2\nY77/Xu/zVcYYtqKIZpqylM2Sdrusra3x4MEDfP+OhrFalmVZlmV9IGtrgy1nt23W2u8/w3FK+P7I\nlY5PtKaeJBwkCa4QjPv+i8YE70KzOchIPXwIby4rb5KhudXKVAjxW8B/AvzuRcHMm1onXRrGZmag\nXIYnTwY5tgsYY4h2I/pP+vjjPtn57McXzLRa6L0twglNJrNwaTBz2mp4MZN570HCzMwMxWKRx48f\nE8fxucd5UjKdyfBZPo8Avuz1WO336Sr1/m4WiE86mfW15mEuh4hjVldXWVxctMGMZVmWZVnfCGNj\ngzqT21aEeN4Ycbx39eOlZDwI+G6hwGQQsBfHfNHtcpQkt7uRc1SrkMvB5ubdnO+2Xc6eAD5QP3no\nz40x//45xxpjDInWfNnrsZDJUDzNDGxuwvHxuZkaHWvC1RCAzEIG6X8cW59eE4boL39Gb0LjDy1c\nGhGnWvOo12MiCKi9wwj4Mnt7e+zv77O8vEw2e3ktkzKGwyRhP47xpWTE897pvktlDHtxzEGSMHqy\n9S2KIh4/fsz09DRDQxd3jrMsy7Isy/o6efwYhofhtkucbvdLgmDyxi2cW2nKdjTIV8xmMuTveCua\nUvDFF4OaofIrt/hBmwJceiEhjD75lr3gOEy+2a9te3uQf7p/H04W+MYYkv2EeDfGG/Pwx/yPs05C\nKfQXP6Vf6uCOLxMEF+cJtTE87vUoue7b78MH0Gg02NjYYHFxkWKxeKXnGGM4SlMOk4SuUlQ9j2HP\nu7MPuzGGepKwHceUTj4vvpSEYcjjx4+ZmpqiVqvdybUsy7Isy7I+Fq3Wy+1Yt5EkDZLkkFzu8qHu\nF2kkCZtRRMV1mQqC282NfEO7Daur8OmnL3MaH31Asx2GtJXiXjZ7dmCyuwuHh3D/PmksiZ5HCE8Q\nzAQ4mQ/bO/tcxqCffEWoN3EWPiMIzmnZ8IqVfh8BLFwhI/K+HB8fs7q6yszMzLWzHrHWN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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "D = 250\n", "\n", "\n", "# Params of distribution over weights\n", "mu_w = np.zeros(D) # mu_w.shape: (D, )\n", "cov_w = 1.1 * np.diag(np.ones(D)) # cov_w.shape: (D, D)\n", "\n", "\n", "def phi_func(x, D=D):\n", " return np.array([np.exp(-.5 * (x - d)**2) for d in range(int(-D / 2), int(D / 2))]) # phi_x.shape: (D, len(x))\n", "\n", "\n", "mu_y_post, cov_y_post = compute_gp_posterior(mu_w, cov_w, phi_func, x_train, y_train, x_test)\n", "plot_gp_posterior(mu_y_post, cov_y_post, x_train, y_train, x_test, n_samples=25)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It appears that the more features we use, the more expressive, and/or less endemically prone to overfitting, our model becomes.\n", "\n", "So, how far do we take this? `D = 1000`? `D = 50000`? How high can we go? **We'll pick up here in the next post.**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Summary" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this tutorial, we've arrived at the mechanical notion of a Gaussian process via simple Gaussian algebra, and a bit of Gaussian calculus. \n", "\n", "**Thus far, we've elucidated the following ideas:**\n", "\n", "- A Gaussian process (GP) defines a distribution over functions (i.e. function evaluations). √\n", "- Marginalizing a Gaussian over a subset of its elements gives another Gaussian (just pluck out the pieces of interest). √\n", "- Conditioning a subset of the elements of a Gaussian on another subset gives another Gaussian (a simple algebraic formula). √\n", "- Posterior over functions (the linear map of the posterior over weights onto some matrix $A = \\phi(X)^T$) √\n", "- Covariances (the second thing we need in order to specify a multivariate Gaussian) √\n", "\n", "**Conversely, we did not yet cover (directly):**\n", "\n", "- Kernels\n", "- Squared-exponentials\n", "- A Gaussian process is non-parametric, i.e. it has an infinite number of parameters (duh?).\n", "\n", "These will be the subject of the following post.\n", "\n", "Thanks for reading, and don't let arcane pedagogy discourage you. There's almost always a clearer explanation at bay." ] } ], "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": "3.6.2" } }, "nbformat": 4, "nbformat_minor": 2 }