{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "%config IPython.matplotlib.backend = \"retina\"\n", "from matplotlib import rcParams\n", "rcParams[\"figure.dpi\"] = 150\n", "rcParams[\"savefig.dpi\"] = 150" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# An introduction to TensorFlow for probabilistic modeling\n", "\n", "In this worksheet, we will go through an example of fitting a line to data using [TensorFlow](https://www.tensorflow.org/) to build the model combined with the standard astronomical Python stack.\n", "To run this notebook, you will need to have the standard scientific Python packages installed: NumPy, SciPy, and Matplotlib.\n", "You will also need TensorFlow. The installation instructions can be found [here](https://www.tensorflow.org/install/), but it's often enough to just run:\n", "\n", "```bash\n", "pip install -U tensorflow\n", "```\n", "\n", "(This is generally better than using conda because the conda packages were really old when I last checked.)\n", "\n", "## Data & model\n", "\n", "To start, let's simulate some fake data.\n", "We'll generate the data from a linear model and we'll assume that the error bars are unknown (we'll fit for the magnitude of the uncertainty in a minute)." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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V1SzImKap7Ozsdjfju3tlBwAAdBynk3khTieDO9Wcd+n37+7S8g0V2n+8psmY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\ncYQYAADci3Vlkm/f4eOqeLZej774vj5rMzamX2+fvnn1GJV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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "np.random.seed(123)\n", "\n", "true_params = (-0.4, 0.03, 0.1)\n", "x = np.sort(np.random.uniform(-1, 1, 50))\n", "y = true_params[0] * x + true_params[1] + true_params[2] * np.random.randn(len(x))\n", "\n", "plt.plot(x, y, \".k\", label=\"data\")\n", "t = np.linspace(-1, 1, 5000)\n", "plt.plot(t, true_params[0]*t+true_params[1], label=\"truth\")\n", "plt.legend()\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"y\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We won't go into the mathematical details of this model here (if you're interested, check out [Hogg, Bovy, & Lang 2010](https://arxiv.org/abs/1008.4686)), but the basic idea is that we need to write down the following likelihood function for this model:\n", "\n", "$$\n", "\\log p(y\\,|\\,m,\\,b,\\,s) = -\\frac{1}{2}\\,\\sum_{n=1}^N \\left[ \\frac{(y_n - m\\,x_n - b)^2}{s^2} + \\log(2\\,\\pi\\,s^2) \\right]\n", "$$\n", "\n", "In NumPy, you might write this function as follows:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The log likelihood computed using numpy: 38.043974115093675\n" ] } ], "source": [ "def np_log_like(x, y, m, b, s):\n", " model = m * x + b\n", " return -0.5*np.sum(((y-model)/s)**2+np.log(2*np.pi*s**2))\n", "\n", "print(\"The log likelihood computed using numpy: {0}\".format(np_log_like(x, y, *true_params)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now your job is to fill in the following function and re-write this in TensorFlow. (The docs are [here](https://www.tensorflow.org/api_docs/python/tf).)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/dforeman/anaconda/lib/python3.6/site-packages/h5py/__init__.py:36: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n", " from ._conv import register_converters as _register_converters\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Using TensorFlow version 1.7.0\n", "'log_like' is: Tensor(\"mul_2:0\", shape=(), dtype=float64)\n", "The log likelihood computed using tensorflow: 38.043974115093675\n" ] } ], "source": [ "import tensorflow as tf\n", "print(\"Using TensorFlow version {0}\".format(tf.__version__))\n", "\n", "# The default type in tensorflow is float32, but we want to force float64 here.\n", "T = tf.float64\n", "\n", "# Convert the numpy arrays to tensors.\n", "# This step of using the \"constant\" method isn't strictly necessary,\n", "# but it will come in handy later.\n", "x_tensor = tf.constant(x, dtype=T)\n", "y_tensor = tf.constant(y, dtype=T)\n", "\n", "# These are the parameters that we will fit for.\n", "# Most tensors are immutable so we need to call them \"Variable\"s if we\n", "# want to change them.\n", "m_tensor = tf.Variable(true_params[0], dtype=T)\n", "b_tensor = tf.Variable(true_params[1], dtype=T)\n", "# s_tensor = tf.Variable(true_params[2], dtype=T)\n", "# TODO: CHANGE THIS\n", "log_s_tensor = tf.Variable(np.log(true_params[2]), dtype=T)\n", "s_tensor = tf.exp(log_s_tensor)\n", "\n", "# This is the function that you should write.\n", "# Hint: in many cases you can get a long way by taking numpy code and\n", "# converting \"np\" to \"tf\".\n", "def tf_log_like(x, y, m, b, s):\n", " # ADD YOUR CODE HERE...\n", " model = m * x + b\n", " return -0.5*tf.reduce_sum(((y-model)/s)**2+tf.log(2*np.pi*s**2))\n", "\n", "# Now we execute this function to define the operations.\n", "log_like = tf_log_like(x_tensor, y_tensor, m_tensor, b_tensor, s_tensor)\n", "print(\"'log_like' is: {0}\".format(log_like))\n", "\n", "# And finally open a session to execute the model.\n", "with tf.Session() as session:\n", " # This step is needed to set up the variables.\n", " session.run(tf.global_variables_initializer())\n", " \n", " # And compute the log likelihood.\n", " print(\"The log likelihood computed using tensorflow: {0}\"\n", " .format(session.run(log_like)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If the value of the log likelihood of this cell isn't identical to the one above, edit your function until it is.\n", "After that, think a bit about what is happening at each step of the code.\n", "What does the value of `log_like` mean and why does it have this value?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The \"feed_dict\"\n", "\n", "One useful concept in TensorFlow is called the `feed_dict` and it is passed to the `session.run` method as a keyword argument.\n", "It allows you to easily evaluate some part of your model for different values of any number of tensors without re-defining the full graph.\n", "For example, to compute the log likelihood for a different slope, we could use the following code:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The log likelihood for a slope of 0.1: -121.37882419883074\n" ] } ], "source": [ "feed_dict = {\n", " m_tensor: 0.1, # <-- NOTE: this is *not* a typo. The key should be\n", " # *the tensor*, not a string!\n", "}\n", "\n", "with tf.Session() as session:\n", " session.run(tf.global_variables_initializer())\n", " print(\"The log likelihood for a slope of 0.1: {0}\"\n", " .format(session.run(log_like, feed_dict=feed_dict)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is generally most useful for parameters that you are fitting for, but it also works for other tensors.\n", "For example, we can compute the likelihood for a different dataset as follows:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The log likelihood for a dataset of zeros: -19.321491806784866\n" ] } ], "source": [ "feed_dict = {\n", " y_tensor: np.zeros_like(y),\n", "}\n", "\n", "with tf.Session() as session:\n", " session.run(tf.global_variables_initializer())\n", " print(\"The log likelihood for a dataset of zeros: {0}\"\n", " .format(session.run(log_like, feed_dict=feed_dict)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Gradients & optimization\n", "\n", "One of the key benefits of TensorFlow is that it efficiently computes gradients of scalar functions with respect to any other tensors.\n", "These gradients can be used with many inference algorithms to improve the reliability and efficiency of fitting probabilistic models to data.\n", "For example, many non-linear optimization algorithms (like the ones that might be familiar from [scipy.optimize](https://docs.scipy.org/doc/scipy/reference/optimize.html)) can substantially benefit from gradients of the objective function.\n", "Furthermore, the performance of Markov chain Monte Carlo (MCMC) methods can be improved by using the gradients of the log probability function to generate samples (see [Radford Neal's review](http://www.mcmchandbook.net/HandbookChapter5.pdf), for example).\n", "\n", "In the following cell, use the [tf.gradients](https://www.tensorflow.org/api_docs/python/tf/gradients) function to define an operation to compute the gradient of `log_like` with respect to `m_tensor`, `b_tensor`, and `s_tensor`.\n", "Then, open a session, and evaluate this gradient (you should get something like: `[-48.6057, 52.6399, 122.76701]`)." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[-48.6057096067264, 52.63990461776443, 122.76707748749914]\n" ] } ], "source": [ "# ADD YOUR CODE HERE...\n", "\n", "grad = tf.gradients(log_like, [m_tensor, b_tensor, s_tensor])\n", "\n", "with tf.Session() as session:\n", " session.run(tf.global_variables_initializer())\n", " print(session.run(grad))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that you see how to compute these gradients, go back up to the cell where we defined our model in TensorFlow and re-write it in terms of $\\log(s)$ instead of $s$. (This is generally a better parameterization for any model where a parameter must always be positive.)\n", "This should involve introducing a new `Variable` (`log_s_tensor` instead of `s_tensor`) and then redefining `s_tensor` in terms of `log_s_tensor`.\n", "With this new parameterization, how would you compute the gradient of `log_like` with respect to the new parameters?\n", "\n", "We can now use our model and one of the gradient based optimizers included with TensorFlow.\n", "Specifically, let's use the interface to the optimizers in [scipy.optimize](https://docs.scipy.org/doc/scipy/reference/optimize.html) because these optimizers are commonly used by astronomers.\n", "First, remember that (for historical reasons) most optimizers *minimize* their objective so we'll want to minimize the *negative* log likelihood in order to *maximize* the log likelihood." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING:tensorflow:From /Users/dforeman/anaconda/lib/python3.6/site-packages/tensorflow/contrib/learn/python/learn/datasets/base.py:198: retry (from tensorflow.contrib.learn.python.learn.datasets.base) is deprecated and will be removed in a future version.\n", "Instructions for updating:\n", "Use the retry module or similar alternatives.\n", "Initial log likelihood: 38.043974115093675\n", "INFO:tensorflow:Optimization terminated with:\n", " Message: b'CONVERGENCE: REL_REDUCTION_OF_F_<=_FACTR*EPSMCH'\n", " Objective function value: -39.825439\n", " Number of iterations: 10\n", " Number of functions evaluations: 12\n", "Final log likelihood: 39.8254388012575\n", "\n", "Final parameters: [-0.4451492551952392, 0.0406957941288166, 0.10910471750576961]\n", "True parameters: (-0.4, 0.03, 0.1)\n" ] } ], "source": [ "neg_log_like = -log_like\n", "\n", "opt = tf.contrib.opt.ScipyOptimizerInterface(\n", " neg_log_like, var_list=[m_tensor, b_tensor, log_s_tensor])\n", "\n", "with tf.Session() as session:\n", " session.run(tf.global_variables_initializer())\n", " \n", " print(\"Initial log likelihood: {0}\".format(session.run(log_like)))\n", " opt.minimize(session)\n", " print(\"Final log likelihood: {0}\\n\".format(session.run(log_like)))\n", " \n", " params = session.run([m_tensor, b_tensor, s_tensor])\n", " print(\"Final parameters: {0}\".format(params))\n", " print(\"True parameters: {0}\".format(true_params))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Interfacing with Python & sampling using MCMC\n", "\n", "Another common task is to sample the posterior probability using MCMC.\n", "To start, we need to choose a log prior for the parameters.\n", "For today, let's choose an improper uniform prior on `log_s_tensor` (i.e. a constant value for all values of `log_s_tensor`) and use the prior [suggested by Jake VanderPlas on his blog](http://jakevdp.github.io/blog/2014/06/14/frequentism-and-bayesianism-4-bayesian-in-python/#Prior-on-Slope-and-Intercept) for `m_tensor` and `b_tensor`.\n", "First, write down the log prior from Jake's blog post and add it to `log_like` to get `log_prob` (a tensor that will be equal to the log posterior up to an additive constant)." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "37.821344107416266\n" ] } ], "source": [ "log_prior = -1.5 * tf.log(1.0 + m_tensor**2)\n", "log_prob = log_like + log_prior\n", "with tf.Session() as session:\n", " session.run(tf.global_variables_initializer())\n", " print(session.run(log_prob))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This worksheet comes with a helper class called `TFModel` that can be used to create a interface between a TensorFlow model and standard Python fitting packages.\n", "The key feature of this interface is that it wraps a tensor and exposes the value and gradient as Python methods (using the `feed_dict` as described above).\n", "For example, to wrap our log probability, we can use the following workflow:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The value is: 37.821344107416266\n", "The gradient is: [-47.57122685 52.63990462 12.27670775]\n" ] } ], "source": [ "# First we say that we want the model to return the value and gradient\n", "# of `log_prob` as a function of the parameters `m_tensor`, `b_tensor`,\n", "# and `log_s_tensor`.\n", "from helpers import TFModel\n", "model = TFModel(log_prob, [m_tensor, b_tensor, log_s_tensor])\n", "\n", "with tf.Session() as session:\n", " session.run(tf.global_variables_initializer())\n", " \n", " # Within the session, you first need to call the `setup` method.\n", " model.setup(session)\n", " \n", " # You can access the current parameter vector for the model.\n", " # This will always be a flat numpy array.\n", " params = model.current_vector()\n", " \n", " # The value and gradient of the tensor can be evaluated for specific\n", " # values of the parameters.\n", " print(\"The value is: {0}\".format(model.value(params)))\n", " print(\"The gradient is: {0}\".format(model.gradient(params)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As an example, we can use this interface to use [emcee](http://emcee.readthedocs.io) to sample this posterior probability that we have defined.\n", "To run this cell, you will need to install emcee (the docs are [here](http://emcee.readthedocs.io))." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "import time\n", "import emcee\n", "\n", "emcee_time = time.time()\n", "with tf.Session() as session:\n", " session.run(tf.global_variables_initializer())\n", " model.setup(session)\n", " \n", " pos = model.current_vector()\n", " pos = pos + 1e-5*np.random.randn(32, len(pos))\n", " nwalkers, ndim = pos.shape\n", " \n", " sampler = emcee.EnsembleSampler(nwalkers, ndim, model.value)\n", " pos, _, _ = sampler.run_mcmc(pos, 200)\n", " sampler.reset()\n", " pos, _, _ = sampler.run_mcmc(pos, 2000)\n", "emcee_time = time.time() - emcee_time" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And then we can plot the results using the [corner](http://corner.readthedocs.io/) package." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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oyrLc7jPwOSiK4r1NvvRStnErzUsvvZSuLktx+HyslmXOXflBQHdodyNdKgeyurqa733v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92+0yMTFBNBoVzopKpcLOzg6maRKLxVBVlZWVFWKxGIVCgVarhdfrJZ/PE4/HabVaDAYDJicn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AmTSCTgcrmIjBEc7oXrOhgOEIvFUKvVIMsystksBEGAx+PB/v4+MpkMcrkcdnZ26DYsRJWR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\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yl7887f2qVCruvfdeQTxks1m2bdsmDIDr6+tJp9OEw2EGBwdFq5xGoxG+Vt3d3ezatYt8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cnBRCh8vlIhKJ3NB17VpBsSoqKioqKm8GqohxA5EkSQuMA3cBbeAlYF2W5eFeQsaOfIv/BP59\n59ffSdkXb1fK5bKo7ry88SIYDLKwsHDVr+8kl8uJVHuj0bhdF/iyKKKEYnY6HQ4dOkQulyMcDtNo\nNDh37hz5fB6z2UwsFqPb7TI+Pk6z2SQajQJw9uxZyuUyW1tbVKtVMpmMsCqPj4/T6/VYXFzEaDSK\nmkCj0SicD/F4HLvdLkI3lUDPwWAgdiIzmQyVSoVms8nExASyLLO2tiZ2FZWTk/3793PmzBn0ej2D\nwQCdTofZbBYNI16vl3q9zoEDB1hYWBBVtPfffz+nTp0SQka9XhcnF9FolMnJSfFcbrtdti67fP3c\n6o04Kio3kp2i3crKyq48hVwu95pFjEqlwurqKp1Oh3K5LHIolNpO5WR/5y7/6OgoY2NjpFIpstks\ng8GAbDZLu92mXC5TLBbx+XyEw2H2798v6kkV0TQUCpEplOnseBw+/7bIqoiTDodDPKYXXngBq9WK\n2Wym0+mQTqcJBoMMBgM6nY5oD7HZbEiShCzLdLtd3G43kiSxtbWFzWbDYDBQqVREHaki/u7bt49C\noYDT6SSZTFKr1di/fz/z8/Nsbm6yvLzMwYMHr/hMcDgcwuFRq9XI5XJiBEYJRa5UKqKVqtvt4nK5\nhIitPJ+VSoXTp09TrVapVquYTCay2SxWq5VwOMzBgwdfdV1ThK3ryaK63qBYFRUVFRWVG4kqYtwg\nJElyAv8d+B3AABiBFPCvkiR9XJblqzaLyLJcevk23lHBnW9n4vE4P/nJT5AkCYvFwh133HHFQWkg\nELiqeKHsVtpsNvx+PzqdThzwz87OEg6HsdlsQljQ6XT4fD4x7lCpVEQA3mAwoNvtMjk5KSzTSnOJ\n8v/19XXW1tao1+tUKhWcTiczMzOcOHFCNIW0Wi28Xi+lUolMJsPa2hrdble4HEKhkNidVBo/zp8/\nz9raGlqtFpPJRKvVQpIkgsEgm5ubDIdDdDod9957L7fddhuSJPH444/T6/Wo1+totVpWV1fJ5XIc\nOXJkz+DN+fl5RkdHxWN3OBzYbDZarRY+n2/XjPflosVrFTHUfAyVdxI7RTuv18vm5qa4vNff4qtR\nr9dFO1Gv10Oj0TA2NiacYLFY7Ko/q2R1aLVaAoGAyNBQKpdbrRapVAq3241OpyMWiyFJEna7nVi7\nx1M7PmEVUbff72O32xkOh0IYcbvdpNNphsMh5XKZ0dFRcrkcw+EQjUZDrVYTYnC320Wv12M2m4lG\no8IhodfrqdfrxONxcdKu0+k4ePAg8Xgci8XC8vIyIyMjYp0+efIkq6urorXJ7/eLym3YFgOy2Szl\ncpkLFy5gt9vp9Xp0Oh2sVis+n49CoSCygVwu155NSkpFtxJa2mw2hciysrKCw+G45qjQa3WjvZVB\nsSoqKioqKgqqiHEDkCTJBHwO8AIfA/4DsAN/wnZQ50eBf1BFip8NOp0Oly5dolAoANu7ZMpu3vWg\n7FbCKztX7373u9nY2BDigsFgEGMgSjheoVAglUrh8/loNBrY7Xb27dvHYDDgnnvuwel0cvr0afr9\nPhcuXMDtdotGkVKpxHA4RKvVCutxv99nZGSEAwcOiB07JYlfqWpVsimUA/ZYLIZGoxG7j+VymWaz\nyXA4xGw2UywWGRsb46GHHqLT6dBqtVhYWODhhx9mc3OTUqlEOBwmn88jyzKDwUA4UVKpFNPT0+J5\n2hlQpwTS2Ww2VldXcTgcOBwO4Ti5UdzKjTgqKjeanSKdcmJcrVbx+/2va5TEZrOJUGGj0UgwGMRm\ns4m/12tlLDidTiYnJzEajWJUTBFX90JpgbLb7WxsZXlq/ZWv9Xt9EokEwWBQ3KfVaiUSiTA7Oyuq\nXT0eD1NTUySTSTQajciPUEb3lNE1pRnJZDKRz+fp9Xrk83m8Xi/JZBK9Xr9LpKnX61itVpaWltDp\ndAQCAba2tpAkiUajQbfbZWVlZZeIUSqVMBqNaDQa7HY7pVIJrVaLTqejUqmIUOZGo4HT6SQaje6q\nQVVQmqwUt4bX6xWZRzqdjsFgcM11rdvt0m63hZPu1Vwbb2VQrIqKioqKioIqYtwYDgFTwF/JsvzY\ny9cVJUn6E+B/Ag8B/3A1AUOSpBBQkmW5owodty6ZTIZSqSTS6xX6/b6wSV8PSpVos9nEYrFQr9cZ\nGxvbtTumvAWMRiOxWAyHw8HS0pI4sZZlGUmSsNlshMNhAF544QVqtdouh4bdbsdut3Ps2DHOnz9P\no9HAaDQyMjIiXApKvasSUBcIBBgfH8dsNnP+/HkkSaJUKomsDUXIaLVaouo0k8nQ6/Xwer20Wi3K\n5TLHjh0TTpMnn3yScrlMpVIRoXmKZTqVSjE5OUkkEiGbzWI0Gmk0GoyMbFckXp6Y7/P56Ha7V7gw\nbhS3aiOOisqN5nLRTmlIer0oWTsbGxtYrVacTueeboFr/bzT6RROtUgkQqlUEmtlOBwW1Z9K3oPR\naMQTCPP/rq+L23nyh09i0MiiptXj8VCv1+n1euRyOSYmJgiHwywuLgLb9apGo5GxsTGq1SqJREKM\nobRaLcxmMyaTCbfbzcTEBKVSCY1Gw+bmphB1C4UCw+FQCDCVSkW0Ng2HQ6amptjY2O5QGQwGV4je\nbrebZDIpWkaUhpZgMEihUKDT6TA1NYUsy+Lz4XKnWCaTEZ8DsiwzNzeHzWYjmUyKz45XE6cUh4qC\nx+O55vdfKyhWRUVFRUXlzUIVMd4AOwSH3wNOKQKGtJ3WJcmyXJIk6f8EvihJkkmW5fYetxFmu0Z1\nRJKk919r7ETlzefrX/86Z86cYX5+ng996EPi+kwmw6lTp4DtnapAIMDMzAy1Wu1VbdKXo7gOYHv3\n7XpaABSHhuLggO2UfqXO9fTp09RqNdbW1ojFYpRKJRqNBl6vl6mpKRYWFrjrrruIx+OYTCZuu+02\nXC4X3W6XcDgsKg61Wi2jo6NIksR73/tescsmyzLFYpGf/vSn6PV67r//fvL5PMViUYR+KrenHPQq\nO3jnz5/HYDCg0WhEtWCv12NhYYFcLkc+nycYDDI6OioC6/R6PWtra7hcLiFUWCwW0Wqi0+lUoUFF\n5QZwI0U7RehVhIPrafhJJBJXNKLsrAJV1pW9qj/T6TSJRAJJt/s+UhsptPTpdDrYbDbGx8ep1+sk\nEgkMBgNbW1t4PB5sNhtms5kDBw6IkOBCoUAgECCdThOPxymVSszMzHDffffhcrmoVCr0ej02Nzfp\ndrsUi0XR/rS4uMjs7Cy1Wg2dTidaT2KxGEePHiUSiZDJZJienubo0aO7HnMwGOTw4cOUSiUOHjxI\nv99nfX2darUqcoUMBgM6nY5wOLynOBSPx2k2m8IN0+v1uPfee8nn8xQKBcbHx5mdnb3m66HRaHC5\nXMKJsZfb43J2BsWqqKioqKi8Fagixhtgh2MiBWgBJEnSy7LcA+SXgz4bgI3tGtUrRAygAFiAv1QF\njJvL17/+df7xH/8RgKeffhpACBk7K1MNBgOdTodAIMDExASxWOw1VdHpdDoikYjY4dPpru/P0Ol0\nMhgMWF9fZ3x8HKfTSafTIZlM0ul0hHjQbrepVqtks1nW19dFzeCBAwe47bbbdt2m0WhkenqaUqlE\nNpslFAqh1+tZWVlBlmUefPBB/vM//5OTJ0+STqcxmUwsLS1x/PhxZmdnyWQyIq8DtqtJld1dn89H\nLpfDZrPRbrfpdDrCMq6k+FutVkwmExMTEwC7HC1K+4ByMpNKpWi321gsFlFTqFYAqqjcfJR16OLF\ni8IdsLCwgN1uv+bPxeNxsdYqjSiXi7pXq/7MZDKcO3eOYrFIoVwHRsX3DOUhbqcDi8UiHo8syzgc\nDkqlEvl8XjR9KO0dXq+X8+fPEwwG8fl8rKysiCDiUqnEvn37+PCHP8zExISotS6VSlQqFbrdrnB5\n1Go17Ha7cFqYzWbhbHM4HIyMjIjK58sJBoNXODSSyaSokO50OkQiEQKBwJ5rn16vF+tls9lkbm5u\nl8vv1Zqa4JX6cEXYUnOBVFRUVFRuRVQR4w2ww4lRBe4FeFnA4OV/DyRJSgJ5XhY5LkeW5a4kSf9l\nrwpWlbeWM2fOXHFZETF2VqYqtmSAVquF3++/5sm0sjuptJTsnBGH658hvnTpEidPnqTVarG0tES3\n22ViYkKEzAGiKjGRSIjdu0uXLjE/P3/FY1Qs2/1+H71eL3Yfn3rqKYbDIf1+n8FgQK/Xo91uo9Fo\nhFV6ZWWFsbExZmZm2Nzc5Ny5c8RiMdEg0G63uXTpEmazWYyFNJtNxsbGOHbsGMPhEJvNRqFQ4OjR\no1itVnHbSrigXq8XooZizW63t3XAYDCITqe7rp1eFRWVNw8lCHJzc1OcwCsVytfKCapUKpw9e5ZG\noyH+znO5HCaT6bpanUqlEr1ej16v9/L4wyvCgDL+MTY2xvz8PBqNBofDwYULFygUCiIgWKmwPnXq\nFLfffjvT09PC7VGr1bBarej1egCWl5eFSBuNRmk2m+j1emRZFiLtmTNnhIh7zz33cOHCBREimsvl\naLfbQrw2GAz4fD6xfsXjcXK5HA6Hg3A4jMFgIBqN0uls965Uq1UhKKyurgon3k4mJyeFQ85oNHL4\n8OHX/HqquUAqKioqKm8HVBHjDbDDifH/AGFJksKyLG9d9j0dSZKWZFku7LxekqQAUJRlua8KGLcG\n8/PzYldQuaywszK1XC5TrVZFYn4+n79qNsPOMZREIsHCwoIIzex0Ovh8vus+SNza2hL3B/Diiy+K\nqsDJyUkymQzlcplMJsPy8jKhUAiv14vD4bjCElypVFhbWwNgcXGRXq9HKBSiWCyKkM9arcbZs2fx\ner3MzMxw6dIlITaMjIzQ7/c5ffo03/3ud2k2m+RyOX75l38Z3//f3n2HV3aV9x7/vupdmiLNjKaP\nZ8ZlPDa43YBxCC60BBPAxM5N6AmGQEIoF1NDAgQwhBDITYJNaIEkF3AIzTTbECBgCK4Y9zL29D6S\nRr2994+1956tM0fSUT3t93keP2PpnCPttXTO2mu/+13vWr6ce+65h4aGhqSfxsfHWbNmDeedd15S\nqHT16tVJTY14i9nx8XE6OzsZHR2lqakpSR0fGBhILo76+vro6+tjdHQ02eZ1skDGd77zHR554F62\nbdvG5ZdfPm0fx1sLxjsVaBIvMrV4h5PW1lb27NnDyMgINTU1LFmyZNLXZBY37ujoSAIZmePlZIGM\nn//85/zkJz+hpqaG9lVrIDXErV69mo1rOzn33HNpampKtnOOgxvd3d3s27ePioqKJDuhp6eH008/\nnfb2dsbGxrjwwgvZv38/IyMjSXHPffv20dLSwujoKCtWrKC3t5eKigoOHDjAAw88QH9/P+7Onj17\n+PGPf8yRI0eorKzkRz/6EaeddhorV65keHiYPXv20N7enoxf+/fv59Zbb2VoaIj+/n7OPfdc2tvb\naWpqSsbD+JwR6+3tPem809rayvr16xkdHWXZsmWMj49P2DZ3KpnbqmrcExGRQqYgxhyZWZW795vZ\nWzILcppZBaHo59b4a3cfN7MLgG8AlwH3nPRDJS/irItsNTHgRKrvrl276OnpSb4/VbptehkKhGwK\nILl7V19fz969e5PsjHiyOTw8PGEdOMCqVasmTGLb2trYv38/HR0dVFdXJ7uJQLgTOTQ0xOrVq9m6\ndetJxxhnbhw+fJi9e/cyNDREX18flZWVVFdXJ3cYm5ubqa2t5ZxzzmHZsmU0Nzezfft2TjvtNBoa\nGrjxxhs5cOBAstPIQw89xLJlyxgeHqarq4sHHniArq4uNmzYkAQoli9fTldXV7KGenBwEDNL2hln\nZMRqa2sZHx+nu7s7aWO62NxUy0o+//nPY2PDSXBqqkBGfEd5cHAwOb74rqQm9CLZxWNLejvjlStX\nTplFEY8/6UKiZ555JgMDAxO295wsm+Mb3/gGX/3qV3F3enp6uKBtGWTUVl63bl2S7QYkwZXKykoG\nBgaoqqri8OHDyVK4hoaGZCtYgOc973lUVlby05/+lObmZrZs2cLu3btpbm6moqIi2e3p0Ucf5fjx\n40nGXbwrU1dXF42Njbh7ssXrli1b6OnpYfXq1cmYMjw8zKFDh4BQ8BNCwLq6upqRkRGam5tZvnx5\nsjNTLDODb2hoiIMHD7Jr1y4qKyvp6upKtqOeLogx021VRURE8k1BjDly99Ho35N2FIkCFlXAgdTX\n5wPfB37f3RXAKDBXXHHFScGLTB0dHUk2QGNj44TJe6b0MpR0AKKvr4+qqiqOHj1KfX09IyMjjI6O\nJhfnmRPK2tpatm7dymWXXcZdd93F8uXLWb58Oc3NzdTX1ydb4Q0PD9PU1MSmTZtobm5OJqOZk9im\npiYOHTpEb28vDQ0NtLe3U1lZyYYNGzj99NPZsWNHstUfhO0ML7roIlasWJEUfKurq0sm/rHBwcGk\nKOf999/Pjh07qKyspLm5mZaWFo4cOcLq1atpa2tjYGCAsbExqqurGRgYoLW1lbq6uqxBobiWRrxj\nwfj4ieSlXNds33vvvVMGMeI7yumieHEmiCb0Itmllx/kuhNJelvOZcuWsXr1ajo6Oujq6krGS2DS\nbI57770XIFmSEe/IFFu7di3pU3JNTQ0dHR20t7dz8OBBVqxYwYYNG+jq6mLp0qWsW7eOI0eOcNtt\nt3H++ecn4/D555/PyMhIUvMjrsdTWVlJfX09Bw4coL+/n9HRUdrb2+np6Ul2UqmurubQoUPU1NTQ\n1NTEmWeeyZo1a2htbZ0wZtXU1NDe3s4jjzxCZWVYdRqPu/FSluHh4QljYFNT04QsjKGhIY4ePcqh\nQ4cYGBjA3ZNdnnIZH+OxL/21xjwRESlkCmIsvDHgEYAogHETIYDxnbwelcxabW0tGzduPClTIpv0\nMpTKykrGxsbYuXNnsoQinmCmJ6uZ0pkG5513Hlu2bKG3t5eqqqoJF/OnnXYavb29PPzwwyxbtixJ\ndb7zzjuT7QNjra2tSTFNd6empobR0VE6OzuTO5/Hjh1jcHCQ8fFxli5dmrw+Pbk9++yzue+++zh6\n9ChLlixh27ZttLe3s2zZMhobG1m1ahVdXV0MDg7S39+frA2vqKhgaGiIyspKjh07xvj4eLLFY5w2\nndm/6R0Lsj0+nW3btk35eObfIv5Xhe1EppZZfHM68QX54cOHGRkZoaqqih07dlBTU5NkbU1VE2Pb\ntm3ceuutyddnn3U2//PrE4/HgYmmpqYko6G9vZ3zzjuPqqoq7r//furr62lubmbjxo08/vjjSfCk\nr6+P3/qt36KmpiZZWjcwMJAsgxsdHaWhoYHa2lqWLVuWLO9rbm7mjDPOSLZZHR8fp6+vD4DTTz+d\npz/96TQ1NdHU1HRSpl28teuuXbvo6Ohg/fr19Pb2nlRcs6WlJSnofPz48eT18XkjLmQab/saZ5XE\nz50sMJE5xmnMExGRQqcgxjyIl4lM8vAqYNDMNgK3AFcqgFEY4sKWmXe1cjGTSXu8DCW+W7Zu3Tr6\n+/tZtmwZDQ0NWSer6WOMa0rExzjVxfzTnvY0tm7dyh133MGRI0dobGyku7ub2267jbq6ugkXBa2t\nrTzpSU9iyZIlPPHEE7S1tSW/PzM4MNk2e6eddhrPetazktTlTZs20dPTQ2trK52dncluAEuXLmXr\n1q00Nzfz+OOPJ5kfXV1d7Nu3L9mhZfXq1UD2TJTZ9P/LXvaynGtiZN5RVk0MkdmbbnxtbW2loqKC\n3t5euru72blzJ/X19Ukm2VRj8uWXX87Ro0e577772L59O8969rP41K9vSh4/44wzWL9u9Umvq6mp\n4dRTT6W9vZ3e3l42bdrE+Ph4ktkBIWg8ODjIihUrWLJkCU1NTZgZAwMDbN++nebmZg4ePJgs81iz\nZg179+6lubmZqqoqHn/8cdyd7u5unvSkJ9Ha2ppk68WB0Xj8igsWj46OMjo6yqpVqwCS2hqjo6Mn\n7UQSn0di8Va2cZ+uW7eOmpoali1bRl1dXU7LRFTMU0REio2CGHNkZpXRLiSrgHXu/ouMpzjwDODV\nKAOjYGQWlptu0jwfamtrWbp0KU1NTUkKcpx9pIx97AAAIABJREFUkJlVsHTpUg4ePEh3dzc1NTV0\nd3dnPcZs2w+uWbOG8fFxfv7znycXBw0NDfzqV7/irLPOOunuZnoSDGEZxbp165ItTevq6pItAQcH\nB5PlJENDQ/T29nLGGWcky0LGx8fZvXs3y5Yt49RTT2VsbIz29naam5uTuhsNDQ2YGTU1NYyMjDA2\nNkZzczM9PT08/vjjyTr57u7upIDn2rVrZ9Xnz3nOc2h6wfQFPWN1dXU88cQT7N27l87OTk499dRZ\n/V6Rcpbr+BqPO/39/cCJi/y4ZsZkQZADBw7Q2dmZZBrES1PSjh8/nix7q6urY8mSJRw5coTW1tZk\nDGxqauLo0aM0Nzdz7NgxamtraWtrS+r1xMHXQ4cO0drayvLly5Pxb/fu3WzYsIFzzz2Xbdu2Jd9f\nu3Ythw8fpqWlhZUrVyZFguNjiZe5ZPZRXV0dLS0tyfbYceAjXSsJsi/9iJcOZi7pOX78eDKONjY2\nJsWSs1ExTxERKSYKYsxBKoCxBvhv4H1AZhCjEXgqcIm7/3Cxj1GyiyfJ6a8XOogBIcgwODiYbCM6\n2QS/uro6yQRIH2O6UF1s586dHDp0iPb2dtatW8f4+HgSdLjttttoaGhIJu1dXV0n1fDIzP6It1vd\nvHkzu3btYu3atXR0dDA4OJgUKu3p6eHQoUOYGePj43R0dFBfX58UpKupqWHlypW0t7fT2dlJT08P\nO3bsSOpfLFmyJJlox0tiuru7GRkZobe3l56eHh555JGk4Fx6S9ps4h0G5urBBx/k5ptvBuC+++4D\nUCBDZBqZJaGyja/ZPr81NTUsXbqU0dHRCcvmRkdHpwyCZBZM7u7unvD1fffdx5aNobBnPNbEyz+O\nHTvGoUOHOH78OB0dHTQ1NXH++ecnv3fTpk10dHQkbWhvb6e9vZ3R0VEGBwfZtWsXd911V1IYtKWl\nJdmaFUJB0Xj8hZA5EdfZcXfcHTOb0Ef19fUMDAzQ0tKSFHxO91267ZMt/ciWndbf38/OnTs5fvw4\nQ0NDyVazIiIixU5BjFlKBTDWAt8EPu7un87y1G8DF7j7bYt7hBLLdoGbLiwXfz1fF8JT/V7IPsGP\n7/zFKioqcjrGJ554gh/+8IeMjY1RWVnJM57xDNatW5fckTvvvPN48MEHOX78OAMDA6xfv/6knxFn\niKSzQQ4cOMDevXsZGxvj4YcfTu70xY4cOcKhQ4dobGxMamds3ryZhoYGDh06lNxRjY85rsHR29vL\n+vXrk7Xbq1atoq6ujoMHD3L8+HH27NmTbAvY1dWVXCjs2bNnyiBT3KbMtpnZjP6ucXAp/bWCGCJT\ny/yMzWR8ra2tTXYSiTMvphsj44LJcQA0c2wYHBzk3nvvTWpebN68GSAp1Pvoo49SXV2dBEji7Ie6\nujruueceli9fzsqVKyf8zLq6Ovr6+njkkUfo6uqitbWVqqoq9uzZw5YtW7K2rbu7mwMHDkwYD1ta\nWqirq5vQR83Nzaxfv56qqiqWLl06YQlIuu/MbEZLP0ZHRzGzZCx97LHHWLFixUnnGxERCeJaRrMR\nZxrL4lAQYxYyAhjfAv7F3T8WPZbUx4i2Xx0EFMAoMG1tbRMqvecyqRscHMx5zfBUz802wc/22rq6\nukmr0UO4w/fggw/S3d2dTJJ3797NypUrk0lwHCh4+OGHk11Vuru7k+Jw6cBFbW1tckf12LFjDA8P\nc/z4cYCkZkaspqaGqqoqhoaGGBwcZHR0NNmWdOvWrYyOjp50zOlaHmkbN26kv7+f/fv3U11dzZ49\ne5JAx2Lr7OxMMjDir0VkZqbaSSMtPQall3EMDg7S29ubbB2dOUbGAYZjx46xZMkSGluXTnh87549\nDA+EnZd6enpobm5O6hLFQdY4g+HgwYPs3r2bI0eOUFNTw9jYGLt372b9+vUTggXxzikVFRXJrlL1\n9fWTjhFDQ0McOHCAvr6+ZAen9C5UU52D6urqkrZlOzfluvSjqamJsbGxZCyNazApiCEikt1U24NP\np7e3l8bGxumfKPNCQYwZmiSA8dHosQkFPuPtV6UwpSfN04mXNcQmK5CWy3Onmrxme222C4C4uFtV\nVVVSN6O+vp7W1lYOHjzIwYMHaWxspLW1lerq6mQnEiApJPqTn/yEffv2sWrVKi666KIJqchHjhzh\njjvuoLGxkc7OTlpbWxkeHk4KcG7ZsiUJxrS0tLBixYoke6SlpSWZ+OeitraW8fFx2traGB0dpaqq\nioaGBpqbm5PtCuOCnwstzrpQTQyRuZksaBkbGho6aQyqq6tLdkRqb2+nv7+fzs7OrOP0ypUrk8lm\n7+DIhMc6Vqygr7uaqqoqKioqOHbsGG1tbRw9epQHH3yQX/ziF2zYsIEzzzyTZcuWsX///mTsiXck\ngYlLNEZHR2lpaeHUU0+lubmZiooKzj77bLZu3Zq1bYcPH04yReLlJOldqOrq6rKeg7q6uuju7k7G\nxbgu0Wy0tbVx+umnc//99ydjamZASEREpBgpiDEDMwlgSGnJVkxtsollLs+dLICS7bWZ65wfeugh\nHn74YVpaWujs7GTDhg0MDQ3R2dlJc3Mze/bsoaenhyNHjrBu3TqWLFnCwMBA8vqmpiZuv/12brnl\nFiCsH29oaOCpT31q8vPvvvtuIGR2bN68OUn1jtvR0tLCxo0bk61c07urTLezSDbt7e3U1NQkgY9N\nmzbR1tY2691j5uLUU09V8EJkgX31q1/l61//Ok1NTSxfvpyGhgYuvPDCZAyMgyCzycjasGEDOx4e\nBKCqqoolS5YwPDzMXXfdxa233kp/fz933303mzdvZsmSJaxatYqNGzcyNjbGxo0bJ9S0iDU1NSVB\nja1bt05arDQOMA8PDzMwMEB9fT1VVVVJYU+YfAvTwcHBJHsDwnliqnNNrn2RHkuVhSH55u5JMd+Z\nmkuqv8hk4iy12ejr65tT9obMnoIYOVIAo7xNVkxtuuemt0jNZfI43e956KGHuPnmmxkZGaGvr49z\nzz2XrVu3JpXn42BFZWUl7k51dTUrVqygrq5uQkDgwIEDE35u+uu4LsTy5cuTdd9NTU2Mjp5ILIor\n4re3t0/IvMglCJPN+vXrAZICpfHXixm8EJHF8dBDD/GDH/yAI0eOcOTIEeDEGDSTsXYyW7ZsYVlr\n2AUqztgYGhpi586dQJiw1tfXc+zYMerq6lizZg1mRn19PatWrUqKX2ZuE5vLEpn0GFhVVUVNTU2S\nCTfdcsTh4eEkWwNCBsds2p9pJlmHIgutv79fGUFSUMxMy0CKkIIYOcjYhUQBjDKUSzG1rq6uZIIb\nb5Ha1dVFbW1tskXqdBPJzN+TGQCIAwzV1dU0NjbS39/P1q1bk+OpqKhIJupwot5GXV3dhN1ONm/e\nzN13351Uyo8L38HEuhDV1dVs2bKFlpaWCRkW6Yl1tqr43d3d9Pf3s3r1apqbm6dsc2z9+vVJ8EJE\nSkNm7R0I49jy5cvZvXs37s7IyMiE4pu5Fq6cTG1t7UnFNmtraznzzDN58MEHqayspKqqKvmdra2t\nSe2NeEvTybaJbW1tPWk3lrSamhoOHjzIvn37qK+vT8bgbONkttfGY3V3d/eUyxZFRETKmYIYOYgC\nGKsJ26h+PFsRTyl9UxVT6+rqOmnCW1FRMWHSmmtBtbq6ukknu5kBhm3bttHZ2TkhE2LdunX09fXR\n2NhIQ0NDkt4cW7p0Kdu3bwfC9qzr1q1LvgaSNd5xXYj46/SFBcDx48dPCrTU1tZSUVGRFM/bu3cv\n3d3djI+Ps2TJEqXciZSRbGNPbW0tnZ2drF27FgjFOZ/73Ody1llnJc/LtXDlTF144YXU1tayY8cO\nNm7cyHnnnZcEWTKXvs1kG+4DBw4khTjr6uo4fPgwAwMDjIyMMDQ0lNTZyBaYTosDGD09PcnSPGVR\nSCk7cODArO+A56P4t4gUDgUxctcBfNTd/x4UwJCJsk14p9uFZDYmCzCkJ8bpgnpTLfHYvn37hOBF\nrLu7m8bGRp785CdPmLTHdxInuzCJxTuTABw+fJj77ruP9vZ2du7cydlnn61AhkiZmGzsyRzHFqsG\nTXd3N6tWrWLLli3J2DZZhkSu4/eBAweSGkI7d+6ko6ODxsZGxsbGADh69Ci1tbXJcrzpsivS4yfk\nHvwWKUaNjY1K4xeRWVEQI0fufidwJyiAISdramrikUceSQq5xUtHZrqNay62bt2atSJ+LN5BJE6L\nzjTVGuuenp6sKdRp09W9SE/+jx8/Tn19ffLYsWPHFMQQKRNT1beYbhybb93d3dx///2MjIxQXV3N\n6aefPmXNnVxrYBw7dmzC1/F42NLSwsjICO3t7ROCFtMV6sx2LhEREZGJFMSYBQUwJBszm/AvLG5B\ntcwMiVhtbe2UdTbSckmhnq7wXnry39jYyOOPP548tmTJklybIyJFbiZjz0I7fPgwPT09AAwMDHD4\n8OFpCwdPt00shDEtXYdo/fr1Ewop19XVTVpPaDLZziUiIiJygoIYIvOgt7eX5ubmpIhlPlKAp8qQ\nyKWoHOSWQp3LhUl68t/a2pqsF09nYWQr+CcipSXXsWehzceuJ9msWLGCs88+m2PHjlFfX09DQwM1\nNTUTgh8zCeQUwrlERESk0CmIITIPFqL+xUzNxyS9paVlyhTqzC0H04aGhjh48CDDw8PJ9qxDQ0M0\nNDTQ1tY2YfI+XV2NtHTRPC1FESlv+/fvn/F40N3dzfDwMG1tbVRWVtLY2EhHR8esj2F4eHhCUGLF\nihW0tbWxY8cOHnroIRobG9m4ceOkQeTBwcFJd18phHOJiIhIoVMQQ2QeLFT9i5mYa+p2nBlRV1eX\nNYV6si0H49fu2LGDnTt3MjQ0RH19PVu2bJkQSEkHKqarqxHLLJqnwqAi5Wv//v0zHg/S49b4+Dir\nVq1KAhjZdliazmQB2IMHD/Lwww8zOjpKVVUVjY2NyQ4s070+HcgohHOJiIhIoVMQQ2SeFMJWeLW1\ntdTU1Mx4LXUumRFT1csYHh6mr6+PoaEhent7GR0d5YknnmDt2rXJBD0dqMg1aySzaJ4Kg4qUr9mM\nB+lxK94CGsg5EyzTZAHY3t7eCb8rc7yc6vWZ2RiFcC4REZGZ6evrm/VrGxoaVAdphhTEEClBM603\nkUtmRFVVFb29vVRXV1NbWzshzbmmpobGxsZkG8Hq6mpaW1sZGRlJJujpQEWuWSOZRfNUGFSkfKXH\ng+HhYaqqqhgaGgIqJn1NtnEr10ywbCYLwDY1NdHc3JzsfjLZMpCFqs0hIiL5NZebbHExfMmdghgi\nBWgu0djp0pWzyTaxTh/D4OAg4+PjtLe309fXR2dn54Q7hXV1dWzcuJGqqioOHTrEkiVLaG1tpaGh\ngYqKiqxrv+vq6qY9rpUrVwIka+Djr0WkcCzW3aP4879//34AGhsbOXr0KDUNzScdj5lNOm4NDg5O\neP5Mstfq6uomBGDjMayjo4PNmzfT399PQ0MDHR0dWX/mZK8XERGR3CmIIVJicklXzjTdxDr+mfGu\nIw0NDVl/xpYtW1i7du28TtBXrlyp4IWIAGE8aGhomLBcY2RkJOtzJxu35hpIyBaAjQO5ufzMXAK4\nIiJS+DLPRzPR19enJdJzoCCGSImZbbryVBPrmfxMTdBFZCFljj/V1dU5PS/99UKMUxr7RETKi5lp\nGUieKIghUmIWIl1ZKdAiUigyx6NRKnN6nsYtkfnh7vT398/qtXMpfigiElMQQ6QE6S6jiJSy9HjU\nO5h9OUnm80RkfvT3909avFZEZDFMXtJbRERERERERKSAKBNDRERERERm7MCBA7OuCZCtSLiISC4U\nxBARERERkRlrbGxUYUOROZpLrZiGhoZF2+q8kCiIISIiIiIiIpIHc9lqtbe3tywDiaqJISIiIiIi\nIiJFQZkYIlMYHBzU9nwiImVCY76UC22TKpJfDQ0N9Pb2zuq1fX19c8reKAUKYohMYnBwkKNHjyZf\nL126VJNaEZESpTFfyom2SRXJLzObl2Ug5VpPQ0EMkUkMDw+f9LUmtPmjO6QipasQPt8a80VEpNjM\nJSNjLrsLzcb4+Pi8/SwFMUQmUVNTM+XX+dbV1UVvby9NTU20tbXl+3AWlO6QipSuhfx8z2ScLPQx\nX2Qy4+PjM74bm36+tkkVKU/FvCTF3D3fxyCLyMx6amtrm0855ZR8H0pRcHfcHTMrqHSr8fHxCXcN\na2pqqKgo3Tq94+PjE6K3FRUVWds77s6uwycmZmuXN1JRQH83mZlHH32UoaGh4+7eMtPXaqwrHrl+\nvid9/SSf+9mMk4U65ktpy2WsM7N7J3noNOZYqP+0004r6TnEfND8QgrNbLMa3J0HH3xwno9mRmY1\nr8ukIEaZMbP9QAOwa4F/VXzl8OgC/55SlEvfVTExk2o0+q9UGVCZ+noMmGzw0ntv9gqt79YC/e6+\ncqYvzBjrCq1di6GY2jyTz/dksrW31MfJYvobz4dSbu+0Y90UQYytwAALP69bbKX8955v6qvcqJ9y\nt1B9Net5XSYFMWRBxCdbd9+W72MpNuq7uVH/zV6p9l2ptmsq5dbmcmsvlF+by6295U5/79ypr3Kj\nfspdMfSVcsdEREREREREpCgoiCEiIiIiIiIiRUFBDBEREREREREpCgpiiIiIiIiIiEhRUBBDRERE\nRERERIqCdicRERERERERkaKgTAwRERERERERKQoKYoiIiIiIiIhIUVAQQ0RERERERESKgoIYIiIi\nIiIiIlIUFMQQERERERERkaKgIIaIiIiIiIiIFAUFMURERERERESkKCiIISIiIiIiIiJFQUEMERER\nERERESkKCmKIiIhISTGzitT/Wz6PZTGZWUO+j0FERGShKYgheWVmFWa23sxW5PtYSkF64i6ymErh\nQjFbG/SZKk7uPg5gZmuAdXk+nAVnZtVm9jLg22b2jHwfj4iIyEKqyvcBSPkys2rgDcALgZ8A1+T3\niIqTmW0BTgEeBo4AXfk9IillZmbu7qmvW4BRd+/P42HNi7hdZvZioAb4OfBYXg9qnpjZJmA7UAmY\nu/9Hng9pwUTnlg3AJ4EOoNPMvg280913Zr6Hi10UaPsz4CzgB+7+wzwf0qIys7OAEaDK3e/J9/GI\nSPGKb2aU0jliocTn0nydUxXEkHz6PeBM4FPu/tl8H0wxMrP/B7QCW6Nv3WZmn3P37+TxsIqCmb0I\nWAk8FWgEPg78ohQuxhdK+kRlZk8Hfhd4VvT194Gb3f1beTzEWYsuBM8nvA+WAYPAqcCbgb83s4r4\n7n6xMbO/BnoJF/S7gDeb2QuAL7j79/J6cPMo9Tc6BXg/sBP4U0ImxheAfuDqEpyc1gHPAz7j7v8C\nYGZV7j5azO/b6ZjZU4CrgJcCe4F2M7sR+Ii735fXg5NFkbqIKtn3uSy6VmCYcL6QHOTrnGqldy6X\nYmFmPwO+6e4fzPexFCMz+zEwBlzp7gfN7ALgbcAT7v7GUrvbOJ/M7P2EO3e3EPrwIuBlwH8D73f3\nXXk8vIJnZlcTAhhrgf8Cmgh92AW8p5gCGalJ8FLg88B97n5N9NhbgA8A2939wXwe52yZ2dOAi939\nvanvdQJ/BawCvuTuX8jX8S0EM7sDuNPdX5X63guBGwiBqR3uPpqv45tvZvZa4MXufnHqe0sAA5a7\n+0N5O7gFZGYfA9qBdwLdwCbgM4SAxvXu/rU8Hp4sMDNrBK4G/sPdnzCzSncfy/dxFSIzqwI2AhcC\nQ8BtwOPuPpLXAysgZvZ6QgbmlYSbGA8CH3f3e/N6YAUoKgHweuDZwO3Aj4CvuvvQYh6H1vrKorNg\nPTCWDmCY2QYze5GZvd7MnhwNupKFmf0pcNDdn+HuBwHc/X+AfweenHqePuMZzKwZGHL3v3L3/3b3\nW939w8CfEyLwnzCz0/J7lIXLzDoIAYtfEi6OX+/uLwdeTrjb/9zoeUVRIyMV6PtPoDoVwKgB/h74\nNXBJ/Pwi/EydARyHpAZRlbvvJSzf+x/gNWb29nwe4HyKMoSq4gCGmVVGD90O9AADpRTAiDQAd8df\nmNmTCJ/PO4Bfm9nXzOzCfB3cQjCz5wAvAt7l7k8A/e5+B2FSfRz4BzP7w3weoyy4y4G/AW41s9Pd\nfSz1eZeImbUCHyEELv4R+FfCRecnzKw2n8dWKMzsbYSA6BeBFwN/AKwHPhLVGpJItDT1TqCPcOOn\nlhBMfNVUr1sIxTYZkxIQXTR0AJvMrA3AzLYD9wHvI6ztvQ34WzPbkKfDLHRLCAELzKw2dcE4Cjwa\n/b+CQNltB55uZlVmVhNflLr7TcBHgYPA18zsjHweZAG7DDgd+KcoA6gawN1/QkjZf6mZtRZTFlAU\n2KoC/jj6utLdh6O7CkZYXhJnbRRbyvIqQr0cAKIlBubuR4G/Bb4L/GF0F6oULAfqzKwu+jr+ezkh\niLHBzN4e/XdVsQTbptEDNAOY2VbgS8CnCRf5WwnLTf4mCn6Xihrgu+7+uJnVuvtwtKRgP/BGoBp4\nR1TfRkrT/YSLqVuAm8zsDAUyJorGwQ8Tsib/jLCEdjUhK+1pwJ/k7+gKSjXwIXc/6O473X03Yfy8\nDbjKzP6iRM4Vc2JmK4EfA1e4+4fc/f8CryEs3bxgsY9HQQzJlz2EtdlD0QXEJ4A3ufsZ7r6VkKp+\nKvAfZnZKHo+zoKQG0UuI6mBEF1rxZ3k7UGtmXwF+BXzDzN6w6Ada2CqBLncfdfdhwsUNAO7+S+A6\n4B7g03rvnZB6750N/Le774suGkZSj32JEIwsmgBGpJEwyVsVfT2eygTrARrM7IuEO37/bmYvz8Mx\nzpYD15hZo7uPp5bPmLv3EmqAfBV4mZk9O7+HOi/2Az8jLBdLeyawBngtITvlDwh3J/+rBCanfcDz\no4BsG/DBKMvxbnd/nFAz4pfAy83sd/N3mPOqE/jtKLNoKA4wRgHIvcD1wA7gbRaKX0vpOUZYInED\nYSno91IZGcowCM4gzBU/5e6fd/ced98HvAN4hChzspxFyyufF/43BMCiuU0v8EHgW4TsjPeXwLli\nrl4F/B93/5mZVUbj7RBh7te02AejIIYsqtRd772EiPBb3f048EV3/2Q8gLj7N4G/JkxIrzWzhnwd\nc4H6IXCmmZ0TfV1nZm8E/pJQo+AThIJ2TwAfM7M/ysdBFqi7gVPN7Eo4uSBRlJL8EeAw8BepO7rl\nLj5f3ElIX4coWBH3YfRZHiEsyykmA8APCH9zPBg1s6sIS2cqCDsoXU/IgvqUmb0mXwebi9Rk63rg\nceCVZladCmDExfB6gI8RgspX5+lw59PtwJfjtfFROy8l9MNrgT9y95cAvwFcC5xDuJNUdOK/sbv/\nG+Fz+TeEdj0RnWvHor/xQUINlEeBV+freOdD6n19M3AAeHWUieEZS70eI2RktEX/SgmJLp6eILzv\nHyZkGfwc+L6ZbY/X5pvZuUW4BHDOUp+T1wD3eFTA2YL4Av3twDIzq8/XcRYIA1oIyxDHUgHRCncf\nIGS1/TshC/VN+TzQfIreU88m1FSBcHqNa9CsB+4ws+eZ2evM7PLFeF+V3Qdb8sPMXgIQ3ymJvv0O\n4BIzexNhogFhMCF67o+BvyMMHNsX8XALUjSgxhfcPwROI+ya8DPgG4QChM92939295+4+82Ei/H/\nJKqTUY4nczjR7tRF2/8DnmehGOpJovoi1wO/DVyc7TmlLNvdhtTJ6hBwmZmtTAeALCzNqSNkuvQs\nzpHOXjSZiy8CuwkFSR9LPb6VsEXnH7v7Ne5+nbt/hrBbyc+AF1moMVGQd2ZSf5sjhMy3K4HnxONI\nxkTtKPBW4LlWBHUEpupzdx9092/Hz4uea8Cl0d9wIJWF8klCoHfbohz4PIsv3KM2folQ2PJM4KFo\n2VNF6m98hHBX8dlm9ht5POw5Sb2vdwIPES7S/iAK0I1HFyFrCX/vhwi7lzzPzDrL9fxXilLno27g\n96NA3bsJgYwbzWylmf07oQZEQY7RCynjczIIYevpKEAfz8MHCXfPy/omobvvIdQIebeZNWU5Pw4S\nAv23AC80s1PzesB5Er2nHgO2R4HjcQAz20y4gXoB8BJC1sqHgdvNbEGzM7RmXhacmd0KdJrZDe4+\nkDr53ErYEeLZhHVnyXrt6PEKd7/JzB4gDBz/k3nXvByY2UWESekBCynuY+7+o+hio5GwfeAB4AXu\n/n0LNQrGCGPO42b2r8AHotcW23r+Ocnou3Tl8u8CVxCKGh5x90ej5yf7g7v7N83sO4R05O8T+r0s\n3n/RSbyWcKemnhC4+AKhmOzNZvZMQvZC+jXDFophjgK9ltryLgpU7nb3Ly9qQ1Li7IPUtyZsoxbd\n1Us/7xhwThzYiC+G3f1eM/s0IdupIXp93t8XZnYZsIEQ3GwCPgQcdfduC1usfpcwye81sx9l3nEi\nZGs8RrijUrDSf8dJ2nwoClCkJ/I3pX9GKnNo1Mz2EWpGFLxJ2nvE3XssbLf9QuCPgNVm9mJ378+4\ncD9IKL5bNHdep3lfv5qwFOpPgIvM7OuE+jV/TZhEA+wmjEkNXnz1bGQSqfPLrcCTom8/BLyFsL3y\nI4QCr2enxrq8j9OLJdXe44TaF/jEnUjGCcHtw5TxDe1UP32PMHZeZWb/4mGpcXzjtSIKfr+PECR7\nB+HapWyk+mkX8CzAzexOwnzhXcAP3P2q1PN/hxBAfDPwVwv1+SvbN64sDjP7CaFgznlRWlbC3XcQ\nCiluI1woptP7a1IXnKuB8XI6AcUs7JLxj8DPzOw0D1X1qwDc/X53v83dvwpsIUz0cPeR6OQeB4Na\ngcc81IAom0lclr4biwI5uPvtwHsIhZveFD03fu9ZauLfBdRFfVfy7784iGNhW87vE9aJriCctP+V\n6GLP3R/ykL2QqRbY5+5jqQDGhwkXFfcvfAsml7rwfX0UVPke8B0zu95CynEc1I8DWYc8lZkRvT5+\nD6wmBMd6C+EzZWYfICwjOEb4u9UA/wGc2WZTAAAdIElEQVS83UJq9XFCVlEN4eLuRWZWEwWrKqM7\n2KOE4GdV9DML8u5l6u84WZvfZWanx8+fqh0WdtoZAb4z3XPzbYr2viP6G/cRsm1uBM4D/sTMGqK/\nbfwefR3h7mtRbBmYw/u6B3gB8G+EceozhGK1n3L3vwXwsP7/AULAX0pE6j19M2F56PLovf4EYWlA\nJWE8i//uZXW9k5qv/CNwt4W6DxMej4Iaj7j7ofRjZrbCyqSmSKqfvkYI6LyBkGmanAejQEaVu/cD\n7yVkLK4tp8yuVD+9h1DYcwtha+szCDXSroJkVzcI4/U3CNmBJy3bni9l8weQxRcFMJqB57j7ofQH\nPnUx+X1C0bHHgFeY2Quj78frGf+ccBK6ifK0K/q3m7DW8wwPhRQzq2/vA5Za9pTZbcCvLCinz3y2\nvhs1s+roxPQNQpGi3yNMii+CZHIUD7hNwGD0mpLuuzhSHmXyvJdwYjrXw/ap2wgXE9NtxbmOVHEn\nM7uWsJf4he5+z8Icee5s8m3U3ge8IbqwH8/8fKUzdKL3wQpCECTvS7TMbBVhe8n3ufsN7v49d38F\nYXvY0wlFPX/T3buApxOWl7yO8J5viIPFZvZmwoTkRli4Scd8yKHN7zSzp0DyN4uDc1Wpn9FKuPPW\nQFgeVLBtnsHfuBf434S6SFcCXzSz7Wa21czeEz32c0I2RkGbQZuPAx9z9+cCm4FN7v7u1M+5ADiX\nKKVeSkf0uR4nFK6MCzJ+ETif8F6/E7jFTuxaUrBByoUQXXiPeFgOuTfjsUoLO7Btjb6Ol9xeQCgK\nXzbbzKeyel5JCJheC1xuZnWpQH+8LXdl9N+xQriBsZiifhhz97e5+0vc/TeAbxKWLBHNn4ajueQw\nodjuky0seVyQeVJJT8olf8zsx4S7tpdFAYzqjA98cqHj7rdworDah8zsy2b2JjP7MiE18GGK5M7R\nfEqdcGsIRYVuYWL17crUc3oJBQhfRajAD9BqZu+OvveZKPJeFoPuNH03AlRFA/INhDV8pxAufN4Y\nXehsii54Xwb8bSq7pWSlLuA+DdS7+zsBogvdfYQaISctNciYGNYSdkrAzD5GKLb2NA/FUgvBVNuo\nXUqoMVOf+flK3f0/hRDIuRj4bPRYvt8XZwNnRROFajtRHPmzhL9ZDfBxM3tGFMh4EfAL4PnAw2b2\nLTP7BSFD473uflt+mjEjZwNnT9Lm6wh/539MBSbj93Y7gJldTVha8yzgddH7u5DN5G98HHgFYdeZ\nOkKh0/sJwcT7CbuA9eejETOUa5svSv19uwgXIUDyef1t4OuE5QVSQqI5zd2EJSWbowDGxcBvuvt/\nEoLxjwC/jM5jBRmkXCipC+9sj40RxslD0dfjZnY+4Q76y6N+LQvxjYuovy4mLM9+N/BHFraLH0s9\n/SzCEp2aLD+qpKVueKTnfOsImzQQBS7gRBb4VuDbPjEbcF6pJobMOwtbuD0NuCoVwBiJHvsnouJj\nZvY/hGJkX/Owzv5Rwpv+vYQ7v6OEAoz/6O4H8tGWfIpOuH1m9k3CheHbgH8iZBU8093vB7CwdeJP\nLexAch3we9Hd9F2ElK/LPBQ4Kxsz6Lsmd/+umR0EXk6o4P9BwnuvEvgLolTzMtJIKAgb38mJL3hq\ngDUW0gXXElIve6ML/vgzPg48YGZ/QghMXlgoAQw7sY3aR+M7CtEdmF4z+yDhLsxrgE+a2dUeinlh\nZucS7ta/nJCevBy40lNLTfKshrCEZ5yo5k2cVePuN5rZKPB/CMss+t39F2b2TsLY+78J2Rd7COta\n/ysvLZi5GmDvJG3+tpmNEdr8l2b2Vne/PboI/nQ0Aasn3EF6qUe1UArcjP/GhGyjL0YXJvWEi7me\nKFujGOTa5uRvnJ4om9mrgOcQxrM3Z1yISGmpI+wetQt4hrs/AmHL9CgDqbdIAneLbZRwk5BonLiJ\nUCS1pOc88TiS/l40H6jykK37TELG11WEbZzfT9h84GnANcCrPRTDLktZgoHnmdmZwH1xwCIKIF9F\nyAhcMFZmgUlZJBbSyF9LKDZ5S/S97xLqNnyQUAzvGsKdsZ8Cr0xdNFQSJh59lGktjLToAutcd3+m\nharI7wOeQihmNUS4C/H77v5rCynUa4FTCWtFd0V3m8tSDn33M0Lf3WtmjYTtM59HeO/9Mg52lIso\n5e/rhC0qvxBd8FVEJ/jPEwKQ3YT3lwN3ET67vdHrn0L4PHcDz3T3X+ajHdmY2WpCRs4FHgohprcZ\nHbews8qbgN8lrPl8WzShuZzwnmkjZF/sdPf9+WpHJgspwd8CXuHuP0p9P10A83cIBbbuBP6iiC5k\ns5pFm9/t7n1RcNenukNZiGbTXmBgoe5+LYZZtPld8YWqha39PkYo9PifHupvSZGyVJHojO/HY/gL\nCUHmt7n7fenHFvlQ826yvprkuZcCzwA+RVhCcmUpBjDMbCNh5cEOP1Gra7L3VHKDg5Cl+4fAJYTa\nSb2EG13/rKBYYCFz+T5C/3yOUCC8k1Av4+Ue7RS2YL+/DD/jsoAyJhh/QwhkPJeQhv6n7n5+6rmt\nhIDG5YSTzxdt4g4SZS11gj4L+IS7/1b0/W2E7RAvI9yB+E9CZFj9Fplh3/2xn6hAXbST/vliZu8A\nfppx4fD7hMKe7ySsqb8beCNh4ngv8DwPtVqeTKgVcbG7/3qxj306ZnYdYfvXv4oyMDIDGfWE7Jvf\nJCwzuCuvBzyNaKJlhO2VWwhLnx5OPZ4ej19HyEh6dhS0q4ov5otpwj/HNqcfK4o2z1d7i8lc2pzt\nOVIcohtYGwj1lwYJwanHpzs/m9kSoLuczt+z7auMn3EJoej2JkKw8MYFPORFZ2bPJyyfvJKQRflr\nwo2Md/kUO9Zk9p+ZxTe9jnqJZoVbKmN+Bq+JAz7VhKz51YS6RN8CrnP3WxfgUCceg8Z4mW9ZAhlX\nEwq8/MDdPxJF7jx68zdEjx1w9+fk76gLl5m1Eaqr/667/zz63sXAtwkD6/9y9wfSFyUSqO9mLvPE\nbmbthBPUF9z9c6kL/ybCriWvAs70qMK5mTV7WJdfMDLu2P0RYVvGZBu16DlxIKOBEKi5092LYhu1\n6I70hwgV1j/h7gdTj6XH458Ae9z9qmK/yCu3Npdbe2HWbdaNkCIU3dR6D+F8UkOor7SHMFa/KZe/\nabG/33M1H30V/ZzLCZ+ti939vxbmaPPDwnKyFxBuVn2JsCX8FYQs0q96VPNrmp9RFje2LOxE80rg\nuz7DrLXMufNiz/9U2FPmXXSxEBfEewvwCUIBtd3R90b9xDr6fkIkeLWZLYlfJ0EU4TxOqP7bEX1v\nPXADoVbDjwl1Hk7zkPqeuWtJ2VLfzU6WSeBR4IqMAEaVhyUJHyQsCdtoJ3Z+KLilCqk2leQ2au7+\nLcJSl9cTipFN2E4v9d7eR9gxqmB34shVubW53NoLs26zAhhFxsJSvo8QMnb/nHBHdyNhp6SLiQq/\na3447311I3BeCQYwKoGnErJTXurun3L3LxKWh/yYkIk77c/wLDuVlag1hJpYrzOzNdM9OS2VzRnP\nkxZ1/lfwkzMpThmBjHcSIqL3ZzwnTl1aTahB0FXsk6755mFXjDFCyv55ZraJUIfgBnd/AWF93t3A\nbWa2VRO4E9R388PDllrHov/36N846HMZ8CBwW3wyK9TPsJXoNmrx5MHdP0rYYeRNwJ9bqCkQ/z3i\nNlQBYxYU7fm/3Npcbu2F8mxzGTuTsEPY9e7+WXc/6qHg7tsJNyGeDZOfW8xspZnVpuedJWxe+ip6\nzpgXSOHtefYMwnbiH3f3vdG4UBllCPwlcIaZnTfZi83sBcD/jbIKSnZemPqsdBKKvL4BeJuZrZzB\nz4g/e+P5yITS7iSyYOITigdfj7+fJUVrGaEqvplZwV4E5UNqUHiAUF/k9YSL8FcDuPttZvYBwppI\n9VuK+m7+pT+7UTbVWYSq8LVmNljIn934rkoUgLmYULvj3UCnmX3B3btTTy+abdQ8tQba3T9gZt2E\nrYE3mtm/edhqsN3MXkooWvrc6O9UsH+r6ZRbm8utvVCebS43qXP0a4G73f178fcJy92PWajR9Jko\n2DyY5WesImTzrjGz55TqRaf6akaaCQW4D9uJ5Q7x7iP7zOw+JrmJHwVBn0bYuetawjygJKXma68B\nfkTYsetLhLfV+32arccL4f2kIIbMSirLIimKl+156YuaVEAjrg68nDAgvw14UqHf8ZxPs+i/rxCK\nKn7W3d8Q/4yoP281s5dkO2mVIvXd3OTaf5mvyfjsnkPYxeXFhB2IBhb0oHOQS7u8RLdRy7jg+wcz\ne4IwCfuKmR0mZJW0ELKPbsnnsWYzmzs4xd7mmSq39kJ5trmcpD7zewh/y3SBQbeQ7dcHNBFqG2Q7\nTx8hbIF9bQlflKuvZuYJoj7yVL2G1P/vJNQRyaytEy8rfRfwMS/xnf2iOdOTo/8uiQI8I4TaKmZm\n75smkJH395MKe8qsmFkzMJq+eMllImqhJsFzgd8hbLO6hbBFYymmtE1qJv0XDTQtwFYvoC0r80V9\nNzOZfTOHz+5ZwEsJ29MeAYaB97n7Qwtz5FObS7usCLZRs5AtsolQ7buJUH+ky937pnhNekK2DNhK\nSC/uA25y9zsX/MBnKOOYy6LNsXJrL5RnmyW7+O9qZm8BLnL352d5Ti3wA+Bydz8yyc8p+QKM6qvc\nRf3wX4RdD9O7rMXn/a8Cb/SwDCf9urIoDJvJwnKQodS/zwO+DnySMMc7KZCRej/m9f2kIIbMiJn9\nCSGC+XuEi5i7CIW37s7lDR1dNLycUAfjRmCvu+9f8AMvEHPtv3KmvpubefjsVkWvrSFsTWvu3rXw\nRz612bYr8/tWQNuoWVjmNAA8AnQTgixbCUtgPufuD08VuCvGz0O5tbnc2gvl2WaZnoUdod4H/M0k\nF0yfc/eXZ3yvgzBWl9WuYuqrqaUCFVVAvad2yojHDjO7G3ghsMNPZJf+JbDC3V+blwPPg2xjbWqc\nPSmQYRk7PxVC0EdBDMmZmb2dkKb2ScJFQxVwPSGj4vvAP0SDR9Ytzsp98jHb/iuEgSLf1HdzMw+f\n3YLctnCu7Yp+RkGNSxaqg7/c3d+f8f2rgd8mFCX9ew81XTJTYbNOSBbr2Ger3Npcbu2F8myzTM9O\nLO/L9neuIBSy/KS7PzV1EXoB8A3gMne/Jx/HnQ/qq9xMNz6Y2deAF6YCGNcSilo+xZXVNVkg40Pu\nvtNCJtxL3f1j+T3KQFWcZSaqgL92933u/ri7P0KIZt5DWCLyd9EgG6dpZzJI7uiWo1n1X2oyV5n+\nt8yo7+amCvhAlv77FfAc4OMW1tdO9tkFCrL/5tQuK8x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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import corner\n", "truth = np.array(true_params)\n", "truth[-1] = np.log(true_params[-1])\n", "corner.corner(sampler.flatchain,\n", " labels=[\"m\", \"b\", \"log(s)\"],\n", " truths=truth);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Hamiltonian Monte Carlo (HMC)\n", "\n", "This looks pretty good, but emcee doesn't currently have support for methods like HMC that use gradient information to improve the efficiency of the inference.\n", "While there are several packages that exist in Python for running HMC, I haven't been completely happy with any of them so, for this tutorial, I wrote a simple Hamiltonian sampler (specifically it implements the [No U-Turns Sampler](https://arxiv.org/abs/1111.4246) as implemented in [Stan](http://mc-stan.org/) and [PyMC3](http://docs.pymc.io/)).\n", "This isn't the place to get into the details of a sampler like this, but to run it here, you can use the following code:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 3500/3500 [00:09<00:00, 365.52it/s]\n" ] } ], "source": [ "import helpers\n", "\n", "# We will cheat a little bit and use our previous chain to estimate the\n", "# the appropriate tuning scales for the parameters.\n", "metric = helpers.DiagonalMetric(3, np.var(sampler.flatchain, axis=0))\n", "\n", "nuts_time = time.time()\n", "with tf.Session() as session:\n", " session.run(tf.global_variables_initializer())\n", "\n", " # This method does the sampling:\n", " nuts = helpers.tf_simple_nuts(\n", " session,\n", " log_prob,\n", " [m_tensor, b_tensor, log_s_tensor],\n", " 3500, # The number of MCMC steps\n", " 1.0, # The integration step size\n", " metric=metric # The scaling metric computed above\n", " )\n", "nuts_time = time.time() - nuts_time" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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Vp+Vd8/Pzm10CAABbTKmqarNr4Aoopdx3gYeenaRrLa/97Gc/O11da3oJuCLmqyqPHv/S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\nA5KcvQk8cOBAkuTo0aPZt29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sU6lUcLlckCQJWVlZ0Gq14rl4dTEMBgNcLhdqampQW1uL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eNGXvGKV/Cyl72M/fv3c8kll3DjjTc66z/zmc9w9dVXMzY2VjF48YEPfIDXvOY19Pf3A5Aqy4xI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\nCip7XZj7rmxDJHl9O3CCm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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "corner.corner(nuts[0],\n", " range=[(np.min(v), np.max(v)) for v in sampler.flatchain.T],\n", " labels=[\"m\", \"b\", \"log(s)\"],\n", " truths=truth);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These contours look a little bit rattier than the ones above, but the real test is the computation time per *independent* sample (see [this blog post](http://dfm.io/posts/autocorr/) for a discussion of methods for estimating the number of independent samples).\n", "For this example, we can compute the number of independent samples from each chain:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The effective number of samples from emcee: 1928\n", "The effective number of samples from NUTS: 2777\n", "The time per effective sample for emcee: 9.2 ms\n", "The time per effective sample for NUTS: 3.5 ms\n" ] } ], "source": [ "# First estimate the autocorrelation time of each chain\n", "from autocorr import integrated_time\n", "tau_emcee = integrated_time(np.swapaxes(sampler.chain, 0, 1))\n", "tau_nuts = integrated_time(nuts[0][:, None, :])\n", "\n", "# Then the effective numbers of samples\n", "neff_emcee = len(sampler.flatchain) / np.mean(tau_emcee)\n", "neff_nuts = len(nuts[0]) / np.mean(tau_nuts)\n", "\n", "print(\"The effective number of samples from emcee: {0:.0f}\".format(neff_emcee))\n", "print(\"The effective number of samples from NUTS: {0:.0f}\".format(neff_nuts))\n", "print(\"The time per effective sample for emcee: {0:.1f} ms\".format(1000*emcee_time / neff_emcee))\n", "print(\"The time per effective sample for NUTS: {0:.1f} ms\".format(1000*nuts_time / neff_nuts))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If everything went as planned, you should see that the NUTS sampler is substantially more efficient (i.e. it requires less computation time per independent sample) than emcee (but we're not considering the cost of tuning here).\n", "This disparity will tend to increase for problems with more parameters.\n", "In general, sampling a density with tens of parameters using emcee will require substantially more patience and computation power than sampling the same problem with NUTS, but NUTS is more sensitive to the specific choices of tuning parameters. " ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 2 }