{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Clustering with matplotlib" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Table of Contents" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Introduction\n", " * TBD\n", "* Creating a Custom Cluster with ZeroMQ\n", " * Goal\n", " * About ZeroMQ\n", " * Estimating $\\pi$\n", " * Creating the ZeroMQ Components\n", " * Working with Results\n", "* Clusting with IPython\n", " * About Parallelism in IPython\n", " * Getting Started\n", " * Direct View\n", " * Cell Magics\n", " * Example: Estimating $\\pi$\n", " * Example: Computing Periods of Stars\n", "* MIT's StarCluster\n", " * About StarCluster\n", " * Code and Images\n", " * Configuring StarCluster\n", " * Starting a Cluster\n", " * Running a Job\n", " \n", "Before we get started, let's do our usual warm-up proceedure:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import matplotlib\n", "matplotlib.use('nbagg')\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's bring in some of the modules we'll be needing as well:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import multiprocessing, os, random, sys, time\n", " \n", "import zmq\n", "\n", "import numpy as np\n", "\n", "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "\n", "from IPython.display import Image\n", "\n", "sys.path.append(\"../lib\")\n", "import collector, demo, democfg, nbutil, processor" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can re-use our custom style from a couple notebook ago, too:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "plt.style.use(\"../styles/superheroine-2.mplstyle\")\n", "colors = plt.rcParams['axes.color_cycle']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Though the focus of the last notebook was big data, we touched on topics closely related to this notebook's area of exploration: clustering for matplotlib. Now we're going to take some time to work through some clustering examples and see howto use matplotlib in such senarios.\n", "\n", "First, though, we should define some terms: what is clustering? We use the term in a very general sense: a system of computing nodes across which a task may be split up whose parts may be executed in parallel on all the system nodes. The nodes may be a collection of processes on the same machine, or on a computer network; they may also be virtual machines or physical computers on a network. The term \"cluster\" alludes to a logical collection, but in our definition, there is a more important word: \"parallel.\" For our purposes, clusters exist to make running code in parallel more efficient or convenient.\n", "\n", "Which leads us to the next natural question: what is parallel computing? The idea behind writing parallel programs is to write code such that computational work may be split up and run concurrently. In 2005, a greater number of mainstream programmers become interested in parallel computing as a result of the famous article by Herb Sutter [The Free Lunch Is Over](http://www.gotw.ca/publications/concurrency-ddj.htm). 10 years later, we continue to see gains in computing power through the addition of cores and the message remains just as pertinent to use now (if not more so). For more information on parallel computing, be sure to check out the excellent [Introduction to Parallel Computing](https://computing.llnl.gov/tutorials/parallel_comp/) by Blaise Barney (Lawrence Livermore National Laboratory).\n", "\n", "There are several ways in which one may write parallel code, but our focus will be on the following:\n", " * data parallization - where the same calculation is performed on different data sets (and sometimes the same data sets)\n", " * task parallization - where a task is decomposed into sub-tasks and the sub-tasks are executed in parallel\n", "\n", "The sorts of problems that are most amenable to parallelization include those in the following fields:\n", "\n", "* n-body problems (e.g., simulating phsysics for understanding the structure of physical reality; see the [Millennium Run](http://en.wikipedia.org/wiki/Millennium_Run))\n", "* Structured grid problems (e.g., computational fluid dynamics)\n", "* Monte Carlo simulation (e.g., computational biology, artificial intelligence, investment evaluations in finance)\n", "* Combinational logic (e.g., brute-force cryptographic techniques)\n", "* Graph traversal (e.g., calculating least-expense and least-time for shipping companies)\n", "* Dynamic programming (e.g., mathematical and computational optimizations, RNS structure prediction, and optimal consumption and saving in economic modeling)\n", "* Bayesian networks (e.g., risk analysis, decision systems, document classification, biological belief modeling)\n", "\n", "For our examples below, we will use much simpler tasks:\n", " * Estimating the value of $\\pi$\n", " * Performing calculations on the periods of stars\n", " \n", "What does this mean for matplotlib, though? Or for advanced users of matplotlib? Well, very often computing problems in an experimental or research setting are initially tackled quickly to get the results and examine the data as soon as possible. The next run might add a bit more functionality, or tweak the code in other ways. After a few months, you may:\n", "\n", "1. end up with one or two functions of enormous size with no obvious or clear path towards something that would be more maintainable\n", "1. have discovered that you are doing far more computation that initially expected and/or working with or generating far more data that anticipated\n", "1. come to the realization that you problem has aspects which lend themselves to parallelization\n", "\n", "In particular, you may have found that in order to plot your data, you are executing vast, monolithic functions the very end of which your results get plotted by matplotlib. In many cases, properly refactoring your code and parallelizing it would allow you to perform the expensive computations concurrently, allowing your rendering to happen more quickly.\n", "\n", "In other words, even though matplotlib doesn't directly enter the realm of parallelization, our workflows nearly always -- at one time or another -- embroil the library in the vagaries of code which might benefit from parallel execution patterns. Ultimately, the developer or user experience which is *perceived* to be matplotlib has the change to be improved with the techniques outlined in this chapter.\n", "\n", "Our first example will steer clear of matplotlib, and focus simply on parallelization. With these concepts firmly in place, later examples will bring matplotlib back into the workflows." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Custom Worker Cluster" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Goal" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the following sections we will create what is called a [task pipeline](http://rfc.zeromq.org/spec:30) (see also [Pipeline Processing](http://www.cise.ufl.edu/research/ParallelPatterns/PatternLanguage/AlgorithmStructure/Pipeline.htm)), a messaging pattern we mentioned briefly when discussing the Disco project's answer to MapReduce. Task pipelines can be viewed as a generalization of MapReduce in that they support data flows through a sequence of steps, where each step provides the results from its processing to the next step in the flow. We will do this by utilizing ZeroMQ, creating a messaging topology suitable for executing embarrassingly parallel code in any number of worker processes." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### About ZeroMQ" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the [ZeroMQ Guide](http://zguide.zeromq.org/page:all):\n", "\n", "
\n", "ZeroMQ (also known as ØMQ, 0MQ, or zmq) looks like an embeddable networking library but acts like a concurrency framework. It gives you sockets that carry atomic messages across various transports like in-process, inter-process, TCP, and multicast. You can connect sockets N-to-N with patterns like fan-out, pub-sub, task distribution, and request-reply. It's fast enough to be the fabric for clustered products. Its asynchronous I/O model gives you scalable multicore applications, built as asynchronous message-processing tasks. It has a score of language APIs and runs on most operating systems. ZeroMQ is from iMatix and is \n", "LGPLv3 open source.\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Estimating $\\pi$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For this section, we're going to adapt some ZeroMQ examples from the [ZeroMQ Guide](http://zguide.zeromq.org/py:all) (Python version). There are two versions of the pipeline pattern: a naïve implementation ([Divide and Conquer](http://zguide.zeromq.org/page:all#Divide-and-Conquer)), and then one that shuts down a process cleanly ([Handling Errors and ETERM](http://zguide.zeromq.org/page:all#Handling-Errors-and-ETERM)). We've combined these and then adapted them to execute code in parallel for estimating the value of $\\pi$. \n", "\n", "The estimation of $\\pi$ which lends itself so well to parallelization was taken from the Lawrence Livermore National Laboratory \n", "Parallel Computing [tutorial pages](https://computing.llnl.gov/tutorials/parallel_comp/#ExamplesPI). The methodology described is as follows:\n", "\n", "1. Inscribe a circle in a square\n", "1. Randomly generate points in the square\n", "1. Determine the number of points in the square that are also in the circle\n", "1. Let r be the number of points in the circle divided by the number of points in the square:\n", "\n", "$$\n", "\\begin{eqnarray*}\n", "A_{square} &=& (2r)^2 \\\\\n", "A_{circle} &=& \\pi r^2\n", "\\end{eqnarray*}\n", "$$\n", "\n", "which gives us:\n", "\n", "$$\n", "\\begin{eqnarray*}\n", "r^2 &=& \\frac{A_{square}}{4} \\\\\n", "r^2 &=& \\frac{A_{circle}}{\\pi} \\\\\n", "\\end{eqnarray*}\n", "$$\n", "\n", "And then solving for $\\pi$:\n", "\n", "$$\n", "\\begin{eqnarray*}\n", "\\frac{A_{square}}{4} &=& \\frac{A_{circle}}{\\pi} \\\\\n", "\\pi &=& 4 \\frac{A_{circle}}{A_{square}} \\\\\n", "\\end{eqnarray*}\n", "$$" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "xs = np.random.uniform(-1, 1, 10000)\n", "ys = np.random.uniform(-1, 1, 10000)\n", "points_inside = []\n", "points_outside = []\n", "for point in zip(xs, ys):\n", " (x, y) = point\n", " if (x ** 2 + y ** 2) <= 1:\n", " points_inside.append(point)\n", " else:\n", " points_outside.append(point)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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KHUHYTD4bWXBPwOo3wh37vIczocgfMTEthRFJjI4kqplkowymaaCkIgxD/DDs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\nMw1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DhmiPyiWyRe3AWpuCqApNHWDjexqD3+SIdjnSocbjn2dFCabcClx3/OX2aoM59p5J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WTziX0YbGtEhMSPAVC0hcrBdJugSwdFcrkIiOTWu+RKOb31nVBzQCcGssWQDgxFHPhAPtUw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pWddkG6Cm/56bWCrbNMeOCtpOO4JDJZSNqrJ/oiHHzteJ2aJiej6yL6E6fnuftDN6d0UJ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ZoLdVwnG3dF2v6bHgxmSe3hLk2cMmDWmIxBVoDU2/x6ugVCZwzDzxXCNhWzaqqx/bqHbELq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\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q2HVJaIqPOX+VbNgthuYtUsCEpwbte/MOt3vfsCm7yKL9BChcUXjEl1l/Tc4hCdlb9vhE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\nQOUR8AAAgMoj4AEAAJX3L8HYLtQuhNFVAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "(figure, axes) = plt.subplots(figsize=(10,10))\n", "axes.scatter(*zip(*points_inside), color=colors[1], alpha=0.5)\n", "axes.scatter(*zip(*points_outside), color=colors[0], alpha=0.5)\n", "circle = plt.Circle((0, 0), 1, fill=False)\n", "axes.set_xlim((-1.1, 1.1))\n", "axes.set_ylim((-1.1, 1.1))\n", "axes.add_artist(circle)\n", "axes.set_title(\"Visualization of estimating $\\pi$\", fontsize=28)\n", "nbutil.hide_axes(axes)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A Python translation of the C and Fortran [Pi examples](https://computing.llnl.gov/tutorials/parallel_comp/#ExamplesPI) from the [LLNL parallel computing tutorials](https://computing.llnl.gov/tutorials/parallel_comp/):" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def estimate_pi(points):\n", " in_circle = 0\n", " for _ in range(int(points)):\n", " (x, y) = (random.random(), random.random())\n", " if (x ** 2 + y ** 2) <= 1:\n", " in_circle += 1\n", " return 4 * in_circle / points" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When we time this with 100 million points, it takes over a minute:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3.14157116\n", "CPU times: user 1min 10s, sys: 151 ms, total: 1min 10s\n", "Wall time: 1min 11s\n" ] } ], "source": [ "%%time\n", "print(estimate_pi(1e8))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As soon as we've built our cluster, we'll run this across our workers and compare results. So let's start building!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Creating the ZeroMQ Components" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In order to use the ZeroMQ \"pipeline\" pattern (dispatching tasks to workers and having workers forward results on to a collector), we'll need to make sure each of the following components is implemented:\n", "\n", " * a distributor\n", " * a worker (multiple instances of)\n", " * a collector (for the results)\n", " \n", "As stated before, the code for our components were adapted from code from the ZeroMQ guide -- originally contributed by Lev Givon and Jeremy Avnet. We've made several changes, one of which is to utilize the ``multiprocessing`` module, thus enabling us to run the example in one terminal window rather than three. Naturally, this also lets us run the example from this notebook. \n", "\n", "We've decided to implement our cluster in several small modules in order to keep things as clear and organized as possible. This should make it fairly obvious what code is responsible for what functionality. We'll start where everything begins: the ``demo`` module:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
import multiprocessing, random, time\n",
       "import zmq\n",
       "import collector, democfg, distributor, worker\n",
       "\n",
       "def main(tasks):\n",
       "    # Initialize random number generator\n",
       "    random.seed()\n",
       "    print("Starting task workers ...")\n",
       "    for worker_id in range(democfg.worker_pool_size):\n",
       "        worker_proc = multiprocessing.Process(\n",
       "            target=worker.work, args=[worker_id])\n",
       "        worker_proc.start()\n",
       "    print("Starting task collector ...")\n",
       "    collector_proc = multiprocessing.Process(target=collector.collect)\n",
       "    collector_proc.start()\n",
       "    time.sleep(democfg.pause_time)\n",
       "    print("Starting task distributor ...")\n",
       "    distributor.distribute(tasks)\n",
       "\n",
       "if __name__ == "__main__":\n",
       "    tasks = [1e8 / democfg.task_count] * democfg.task_count\n",
       "    main(tasks)\n",
       "
\n" ], "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nbutil.pycat(\"../lib/demo.py\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The ``main`` function performs the following tasks:\n", "\n", "* creates a worker pool with a worker count as configured in ``democfg``\n", "* starts the collector process which will be responsible for processing results from the workers\n", "* starts the distributor process which will start sending the messages to kick everything off\n", "\n", "Note that the distributor process gets passed the actual \"tasks\" we create here in ``demo.main``.\n", "\n", "Next we'll look at the *distributor* code:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
import time\n",
       "import zmq\n",
       "import democfg\n",
       "\n",
       "def distribute(tasks):\n",
       "    context = zmq.Context()\n",
       "    # Socket to send messages on\n",
       "    sender = context.socket(zmq.PUSH)\n",
       "    sender.bind(democfg.routing_table["receiver"])\n",
       "    # Socket with direct access to the sink used to syncronize start of batch\n",
       "    syncher = context.socket(zmq.PUSH)\n",
       "    syncher.connect(democfg.routing_table["sender"])\n",
       "    # Give 0MQ time to start up\n",
       "    time.sleep(democfg.pause_time)\n",
       "    syncher.send(democfg.start_flag)\n",
       "    for task in tasks:\n",
       "        sender.send_pyobj(task)\n",
       "    # Give 0MQ time to deliver message\n",
       "    time.sleep(democfg.pause_time)\n",
       "
\n" ], "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nbutil.pycat(\"../lib/distributor.py\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The ``distributor.distribute`` function takes as an argument the list of tasks it will be passing out to workers. Before it gives out any jobs, though, it sets up ZeroMQ sockets for communicating with the other components:\n", " * the ``sender`` socket for passing out jobs\n", " * the ``syncher`` socket for kicking off the batch\n", "\n", "If you're not familiar with ZeroMQ, don't be alarmed that the ``worker.work`` function isn't called; what happens instead is a message gets passed to the ZeroMQ queue upon which the worker is listening.\n", "\n", "Next up, the worker:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
import random\n",
       "import zmq\n",
       "import democfg, tasker\n",
       "\n",
       "def is_done(socks, controller):\n",
       "    if (socks.get(controller) == zmq.POLLIN and\n",
       "        controller.recv() == democfg.done_msg):\n",
       "        return True\n",
       "    return False\n",
       "\n",
       "def work(worker_id):\n",
       "    context = zmq.Context()\n",
       "    # Socket to receive messages on\n",
       "    receiver = context.socket(zmq.PULL)\n",
       "    receiver.connect(democfg.routing_table["receiver"])\n",
       "    # Socket to send messages to\n",
       "    sender = context.socket(zmq.PUSH)\n",
       "    sender.connect(democfg.routing_table["sender"])\n",
       "    # Socket for control input\n",
       "    controller = context.socket(zmq.SUB)\n",
       "    controller.connect(democfg.routing_table["controller"])\n",
       "    controller.setsockopt(zmq.SUBSCRIBE, b"")\n",
       "    # Process messages from receiver and controller\n",
       "    poller = zmq.Poller()\n",
       "    poller.register(receiver, zmq.POLLIN)\n",
       "    poller.register(controller, zmq.POLLIN)\n",
       "    # Process messages from both sockets\n",
       "    run_loop = True\n",
       "    while run_loop:\n",
       "        socks = dict(poller.poll())\n",
       "        if socks.get(receiver) == zmq.POLLIN:\n",
       "            task_data = receiver.recv_pyobj()\n",
       "            # Process task data\n",
       "            result = tasker.task(task_data)\n",
       "            sender.send_pyobj(result)\n",
       "        if is_done(socks, controller):\n",
       "            run_loop = False\n",
       "
\n" ], "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nbutil.pycat(\"../lib/worker.py\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The ``worker.work`` function creates a worker that listens on a ZeroMQ ``PULL`` connection where it will take the task data that the *distributor* ``PUSH``ed. The worker then calls another function that will do the actual computation for the task. Once this has finished, the worker will send the result on to the *collector*.\n", "\n", "The code for the worker is a little more complex than the distributor, primarily because the worker polls two separate queues:\n", " * one from which it will pull the task data, and\n", " * one on which it is listening for \"control\" messages -- in particular, a \"stop\" message\n", "\n", "The result that gets sent to the collector is created in a separate module:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
import random\n",
       "import zmq\n",
       "import democfg\n",
       "\n",
       "def task(task_data):\n",
       "    in_circle = 0\n",
       "    for _ in range(int(task_data)):\n",
       "        (x, y) = (random.random(), random.random())\n",
       "        if (x ** 2 + y ** 2) <= 1:\n",
       "            in_circle += 1\n",
       "    return 4 * in_circle / task_data\n",
       "
\n" ], "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nbutil.pycat(\"../lib/tasker.py\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's see the *collector*:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
import time\n",
       "import zmq\n",
       "import democfg, processor\n",
       "\n",
       "def collect():\n",
       "    context = zmq.Context()\n",
       "    # Socket to receive messages on (collect results from worker)\n",
       "    receiver = context.socket(zmq.PULL)\n",
       "    receiver.bind(democfg.routing_table["sender"])\n",
       "    # Socket for worker control\n",
       "    controller = context.socket(zmq.PUB)\n",
       "    controller.bind(democfg.routing_table["controller"])\n",
       "    # Wait for start signal\n",
       "    assert receiver.recv() == democfg.start_flag\n",
       "    processor.process(receiver)\n",
       "    # Let workers know that all results have been processed\n",
       "    controller.send(democfg.done_msg)\n",
       "    # Finished\n",
       "    time.sleep(5 * democfg.pause_time)  # Give 0MQ time to deliver\n",
       "
\n" ], "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nbutil.pycat(\"../lib/collector.py\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This code is almost as simple as that for the distributor. The ``collector.collect`` does a few things:\n", "\n", "* ``PULL``s data that was ``PUSH``ed by the workers\n", "* calls ``processor.process`` on all the data that it ``PULL``ed\n", "* sends a control message for stopping as soon as it finishes processing the results\n", "\n", "Here's the code that actually processes the results:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
import time\n",
       "import zmq\n",
       "import democfg\n",
       "\n",
       "def process(receiver):\n",
       "    return get_results(receiver)\n",
       "\n",
       "def get_results(receiver):\n",
       "    data = []\n",
       "    # Process results from the workers\n",
       "    for _ in range(democfg.task_count):\n",
       "        result = receiver.recv_pyobj()\n",
       "        print("Processing result: {}".format(result))\n",
       "        data.append(result)\n",
       "    # Calculate final result\n",
       "    print("Final result: {}".format(sum(data)/len(data)))\n",
       "    return data\n",
       "
\n" ], "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nbutil.pycat(\"../lib/processor.py\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The fact that we have split this into distinct functions may seem like useless work right now, but this will provide some convenience when we update the code to plot our data.\n", "\n", "Before we try out our cluster, there's one more module we should look at, so that there's no mystery: the ``democfg`` module referenced by the others:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
worker_pool_size = 8\n",
       "task_count = 8\n",
       "delay_range = (1, 100) # milliseconds\n",
       "pause_time = 1 # seconds\n",
       "start_flag = b"0"\n",
       "done_msg = b"DONE"\n",
       "routing_table = {\n",
       "    "receiver": "tcp://127.0.0.1:7557",\n",
       "    "sender": "tcp://127.0.0.1:7558",\n",
       "    "controller": "tcp://127.0.0.1:7559"}\n",
       "
\n" ], "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "nbutil.pycat(\"../lib/democfg.py\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Working with Results" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we scroll back up to the ``demo`` module, we see that when the module is called from the command line, it:\n", "\n", "* gets a total task count\n", "* partitions this into equal segments which represent the \"task\"\n", "* calls the ``main`` function, passing this parititiond data\n", "\n", "Let's try it now:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Starting task workers ...\n", "Starting task collector ...\n", "Starting task distributor ...\n", "Processing result: 3.14210336\n", "Processing result: 3.1415472\n", "Processing result: 3.14151648\n", "Processing result: 3.14219872\n", "Processing result: 3.14187168\n", "Processing result: 3.14149984\n", "Processing result: 3.14178592\n", "Processing result: 3.14194304\n", "Final result: 3.14180828\n", "CPU times: user 3.05 ms, sys: 8.41 ms, total: 11.5 ms\n", "Wall time: 25.4 s\n" ] } ], "source": [ "%%time\n", "%%bash\n", "python ../lib/demo.py" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we might have expected, our parallel version runs faster -- more than twice as fast -- than the single-process version. However, we don't even get close to 8 times as fast. From this we might infer that there is overhead above and beyond the simple computation which we have parallelized. To understand exactly what is impacting the performance of our cluster code, we would need to profile the code and analyze the results.\n", "\n", "The next thing we'd like to be able to do is integrate matplotlib so we can plot our results. However, our data is handled in separate processes. We could use any number of approaches to solve this problem (e.g., anything from databases to creating an on-notebook ZeroMQ socket to receive data), but let's do something simple right now. Make the following changes to ``./lib/processor.py``:\n", "\n", "```python\n", "import numpy as np\n", "\n", "def process(receiver):\n", " results = get_results(receiver)\n", " np.save(\"../data/results.npy\", np.array(results))\n", " return results\n", "```\n", "\n", "We haven't muddied the logic encapsulated in the ``get_results`` function and because we're still using the ``process`` function, no code in other modules needs to be updated.\n", "\n", "We do need to reload some modules, though:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import imp\n", "imp.reload(collector)\n", "imp.reload(processor)\n", "imp.reload(demo)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's run the ``demo.main`` function, passing it some \"tasks\", the results of which will be saved to our NumPy file:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Starting task workers ...\n", "Starting task collector ...\n", "Starting task distributor ...\n" ] } ], "source": [ "tasks = [1e8 / democfg.task_count] * democfg.task_count\n", "demo.main(tasks)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If you didn't see all the expected output and you've checked your system process table and there are not eight Python processes running at high CPU), then the job has finished and you might need to flush ``stdout``:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Processing result: 3.14124992\n", "Processing result: 3.14037024\n", "Processing result: 3.1411328\n", "Processing result: 3.14301344\n", "Processing result: 3.1412272\n", "Processing result: 3.14260256\n", "Processing result: 3.14093152\n", "Processing result: 3.1416672\n", "Final result: 3.14152436\n" ] } ], "source": [ "sys.stdout.flush()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With the data saved, we can load it and plot it:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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GhqveFgAAAJafJTn0ulqtJknK5XJKpVLGJyZmHR8fn0j/wGCmp2sXlG1pbsqG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\nsuOxp7XqtYiIiIiIiCyx4oKyp8jFNVd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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "results = np.load(\"../data/results.npy\")\n", "(figure, axes) = plt.subplots(figsize=(16, 8))\n", "axes.scatter([x + 1 for x in range(len(results))], results, color=colors[0])\n", "axes.set_title(\"Estimated values of $\\pi$\", fontsize=28)\n", "axes.set_ylabel(\"~$\\pi$\", fontsize=24)\n", "axes.set_xlabel(\"Worker Number\", fontsize=20)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## IPython Clusters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### About Parallelism in IPython" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As explained in the [IPython documentation for parallel computing](http://ipython.org/ipython-doc/dev/parallel/parallel_intro.html), IPython has built-in support for parallelism due to the architectural overhaul it received when the project moved to ZeroMQ. One can summarize this with the following components which live in the ``IPython.parallel`` package:\n", "\n", "* The IPython engine\n", "* The IPython hub\n", "* The IPython schedulers\n", "* The controller client\n", "\n", "\n", "\n", "Due to this architecture, IPython supports the following different styles of parallelism:\n", "\n", "* Single program, multiple data\n", "* Multiple program, multiple data\n", "* Message passing using MPI\n", "* Task farming\n", "* Data parallel\n", "* Combinations of these approaches\n", "* Custom user defined approaches\n", "\n", "Practically speaking, this allows IPython users to tackle the following use cases:\n", "\n", "* Quickly parallelize algorithms that are embarrassingly parallel using a number of simple approaches. Many simple things can be parallelized interactively in one or two lines of code.\n", "* Steer traditional MPI applications on a supercomputer from an IPython session on your laptop.\n", "* Analyze and visualize large datasets (that could be remote and/or distributed) interactively using IPython and tools like matplotlib/TVTK.\n", "* Develop, test and debug new parallel algorithms (that may use MPI) interactively.\n", "* Tie together multiple MPI jobs running on different systems into one giant distributed and parallel system.\n", "* Start a parallel job on your cluster and then have a remote collaborator connect to it and pull back data into their local IPython session for plotting and analysis.\n", "* Run a set of tasks on a set of CPUs using dynamic load balancing." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Getting Started" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To use IPython for parallel computing, you need to start one instance of the controller and one or more instances of the engine. Initially, it is best to simply start a controller and engines on a single host using the ``ipcluster`` command. To start a controller and 4 engines on your localhost, switch to a terminal window with this notebook's virtual environment activated and execute the following:\n", "\n", "```\n", "$ ipcluster start -n 4\n", "```\n", "\n", "This will run the ipcluster app in the foreground, showing output such as:\n", "\n", "```\n", "2015-04-28 09:50:29.584 [IPClusterStart] Using existing profile dir: '/Users/oubiwann/.ipython/profile_default'\n", "2015-04-28 09:50:29.587 [IPClusterStart] Starting ipcluster with [daemon=False]\n", "2015-04-28 09:50:29.589 [IPClusterStart] Creating pid file: /Users/oubiwann/.ipython/profile_default/pid/ipcluster.pid\n", "2015-04-28 09:50:29.589 [IPClusterStart] Starting Controller with LocalControllerLauncher\n", "2015-04-28 09:50:30.593 [IPClusterStart] Starting 4 Engines with LocalEngineSetLauncher\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Direct View" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The “direct view” is called such because the DirectView object offers an interface to the cluster which doesn't go through the schedulers, but instead offers direct, manual execution control." ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[0, 1, 2, 3]" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.parallel import Client\n", "client = Client() \n", "client.ids " ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "view = client.direct_view()\n", "view" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "async_result = view.apply(np.random.rand, 2, 2)\n", "async_result" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[array([[ 0.07792881, 0.21319405],\n", " [ 0.20925777, 0.74999169]]), array([[ 0.07792881, 0.21319405],\n", " [ 0.20925777, 0.74999169]]), array([[ 0.07792881, 0.21319405],\n", " [ 0.20925777, 0.74999169]]), array([[ 0.07792881, 0.21319405],\n", " [ 0.20925777, 0.74999169]])]" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "values = async_result.get()\n", "values" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "async_result = view.apply(np.linalg.eigvals, values)\n", "async_result" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[array([[ 0.01706021, 0.81086029],\n", " [ 0.01706021, 0.81086029],\n", " [ 0.01706021, 0.81086029],\n", " [ 0.01706021, 0.81086029]]), array([[ 0.01706021, 0.81086029],\n", " [ 0.01706021, 0.81086029],\n", " [ 0.01706021, 0.81086029],\n", " [ 0.01706021, 0.81086029]]), array([[ 0.01706021, 0.81086029],\n", " [ 0.01706021, 0.81086029],\n", " [ 0.01706021, 0.81086029],\n", " [ 0.01706021, 0.81086029]]), array([[ 0.01706021, 0.81086029],\n", " [ 0.01706021, 0.81086029],\n", " [ 0.01706021, 0.81086029],\n", " [ 0.01706021, 0.81086029]])]" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "async_result.get()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Load Balanced View" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In contrast to the Direct View, IPython offers a view which does not bypass the schedulers, but instead executes based upon the configured load-balancing scheme.\n", "\n", "There are a variety of valid ways to determine where jobs should be assigned in a load-balancing situation. IPython support several standard schemes, and even provides the means by which developers may easily add their own. The scheme can be selected via the ``scheme`` argument to ``ipcontroller``, or in the ``TaskScheduler.schemename`` attribute of a controller config object.\n", "\n", "The built-in routing schemes provided by IPython are: \n", "\n", "* lru: Least Recently Used\n", "* plainrandom: Plain Random\n", "* twobin: Two-Bin Random\n", "* leastload: Least Load (default)\n", "* weighted: Weighted Two-Bin Random\n", "\n", "To select one of these schemes, simply use the ``ipcontroller`` command line tool: \n", "\n", "```\n", "$ ipcontroller --scheme=twobin\n", "``` " ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lb_view = client.load_balanced_view()\n", "lb_view" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [], "source": [ "serial_result = map(lambda x:x**10, range(32))\n", "parallel_result = lb_view.map(lambda x:x**10, range(32))" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "list(serial_result) == parallel_result.get()" ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[0.0,\n", " 10.0,\n", " 160.0,\n", " 810.0,\n", " 2560.0,\n", " 6250.0,\n", " 12960.0,\n", " 24010.0,\n", " 40960.0,\n", " 65610.0,\n", " 100000.0,\n", " 146410.0,\n", " 207360.0,\n", " 285610.0,\n", " 384160.0,\n", " 506250.0,\n", " 655360.0,\n", " 835210.0,\n", " 1049760.0,\n", " 1303210.0,\n", " 1600000.0,\n", " 1944810.0,\n", " 2342560.0,\n", " 2798410.0,\n", " 3317760.0,\n", " 3906250.0,\n", " 4569760.0,\n", " 5314410.0,\n", " 6146560.0,\n", " 7072810.0,\n", " 8100000.0,\n", " 9235210.0]" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "@lb_view.parallel()\n", "def f(x):\n", " return 10.0*x**4\n", "\n", "f.map(range(32)).get()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Magics" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "importing numpy on engine(s)\n" ] } ], "source": [ "with view.sync_imports():\n", " import numpy" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%px async_result = numpy.random.rand(2, 2)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "\u001b[0;31mOut[0:2]: \u001b[0marray([ 1.69123631, 0.0052597 ])" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "\u001b[0;31mOut[1:2]: \u001b[0marray([ 1.4345667 , 0.15208336])" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "\u001b[0;31mOut[2:2]: \u001b[0marray([ 1.24709664, -0.06577105])" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "\u001b[0;31mOut[3:2]: \u001b[0marray([ 0.39707627, 1.01065811])" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%px numpy.linalg.eigvals(async_result)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example: Estimating Pi" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's use IPython's clustering features to run the same job that we did with our implementation of the ZeroMQ pattern. Go ahead and stop the 4-node cluster and restart with 8 nodes:\n", "\n", "```\n", "$ ipcluster start -n 8\n", "```\n", "\n", "Let's get a fresh connection which is aware of the new nodes:" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[0, 1, 2, 3, 4, 5, 6, 7]" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "client = Client() \n", "client.ids " ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "importing random on engine(s)\n" ] } ], "source": [ "view = client.direct_view()\n", "view.block = True\n", "with view.sync_imports():\n", " import random" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Result: 3.14143816\n", "CPU times: user 6.98 s, sys: 685 ms, total: 7.66 s\n", "Wall time: 19.6 s\n" ] } ], "source": [ "%%time\n", "node_count = 8\n", "results = view.apply(estimate_pi, 1e8 / node_count)\n", "pi_est = sum(results)/len(client.ids)\n", "print(\"Result: {}\".format(pi_est))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That runs faster than our custom multiprocessing ZeroMQ example, is almost four times faster than the original serial example we gave, but all things being equal it's biggest advantage is that it's *much* easier to set up :-) However, thanks to the work we did in the previous section, we have an idea of what's going on behind the scenes (since IPython uses ZeroMQ).\n", "\n", "In addition to being easier to set up, it's easier to plot the results:" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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u3jvneKmUPPHo9pwaG8u3vvfSnGNbb92c++6+I7/3B09ncnLqircHAACA5aXu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\nzkKn03Lb1k28/d4hcjm56KmmXS+8il6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mUVDLkmXXLN+X82Uiqf7dY9dckNcP5/U84W/k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\nIYQQQgghppBEWQghhBBCCCGEmOL/A63CDAd3Fq1jAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "(figure, axes) = plt.subplots(figsize=(16, 8))\n", "axes.scatter([x + 1 for x in range(len(results))], results, color=colors[0])\n", "axes.set_title(\"Estimated values of $\\pi$\", fontsize=28)\n", "axes.set_ylabel(\"~$\\pi$\", fontsize=24)\n", "axes.set_xlabel(\"IPython Cluster Engine Number\", fontsize=20)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example: Computing Periods of Stars" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following example is a partial representation of [graduate course assignment](http://www.astro.washington.edu/users/vanderplas/Astr599/notebooks/21_IPythonParallel) in scientific computing taught by Jake Vanderplas through the University of Washington Astronomy department. The actual assignment is much more involved than what is provided below!" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from astroML.datasets import fetch_LINEAR_sample\n", "from astroML.time_series import lomb_scargle" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [], "source": [ "lcs = fetch_LINEAR_sample()\n", "id_ = lcs.ids[0]\n", "time, flux, dflux = lcs[id_].T" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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5BElapHdSa87brL9vUARxlCNzn7k4MAUoAHw8Fh/TjHITfs84l7Qw8teKNlOS\n7fKjbh1sQdW61XXTBSnwTTbleNg15GaEZQsJgn1CsSsWtpzOF5Nv9n7ymHLdpYUi7CVr8kmkLBRc\nO8Mwe2dnQhqIMMmRWB5ADfvv5eFAQsYtwJ8TW6YzYo2jB8ZSUBHfxqdZHNh6wBv0eqyoWzDq0aHX\nrILL0SOqePvkjpZcpGuONerW8xqlk62zn6vEjgNAKHIbcml0/PTGWMgQc77oa1Xhr8e8rL8Ti5+N\nc95ZfKavX3HjNzap0CQn0VzZUPHChNYsDYpoPD8dNnjM/AC2oIrzQaIXrKF5sEbbVFexT22DIsjL\ny+XQtOVko6dZWVmGwmPDGwfi9/b6FRtW/GpAKf4XhyvPZ9S9ATYOrd0RVgrSqZAeD4An1aHZd4Rc\nJXbuWFfwlHIRxxnKB+0EdmiEy97ni16zCn8xKl6ht15pI6bPdNanQqPegF6zG/dtxR13qVHxwoTG\nFoxqJqNuHbq0azi/0pBWG6HNDMkhtreWKVhrulAX5N458EEmNnouujQuwGHBG8+lVrv95gUr0Fi8\nysCZkq7gpa4I2jyzIgHXjpA7DHg2oV89ffzUsIvX1ghC4tBtzUu5EZL16tUl+0wnKOA74K/Sd6VQ\n8cIk15wE5sLEDLEdOB/PiBYiaZGpkWu0ehzt0mVdMn/Uo4PBxz6KYKj4SWZcZFqFWch6WZmO67fa\nqVii3KYqD6Z9Gvzj6hqA6pTrNQp2Az3tBGaaHL83vQNHtasA5gTrlZMLtNArZiIlF2Ktgl1uVLww\nyZX1FiyhkhbZHKbJwi+dCYg+L13DIDEyNO/nNFUkk2m4Nx9wmVD+4eE2vK2L7pboRDmde431MzxB\nbidwcnOseOTVhidlYsShQXdpXAlKVS7l9YWiFPxO5QARJk9IfmnXc9JmsmAVq2jcej1PgGjDoD/8\n2A6DRh7rtGhzhxCSajKy/xcaOpeBSboQWZnOiI0mNY5tuouzNjM0WhcGBHCoZtNfnKvEjk3VgtcG\nF2PHh+b9+K+fedBaLcGjB3cxpPLjrKM5q7L1hSZ5PsU0zmxKG5Ee8LlT8cKEjmqyzS7jzFIAMz4f\ntoQkGPWvv+Bkkp8iVgJhCYJJFq1gBKiWhtClXcWoO2qOYXZxLCZyaeqxoXk/lAEfzoxIWF/8TPwY\n+ZKNCYVrtyrXGzHuqsWp4dtY9oQQoGT42ZfiZUmYYc3Ju04AojBziZlMrQTpdr9EoKyPYMLkQM9u\ntDYZ4fO+yq3bAAAgAElEQVT58daHFwEA3Z3bsX1TW6wX/Kej45izLqZc+9S2Tdi+qQ2QRHvF35ma\nFmqYT8op2HGaUWjv5JATNyNeyHTifTnzSTbr0riwIPXAvEGG473xc08OOXF9OSLo4psryQUP6SS5\nv/pycYtRZmtC4dqtynRGfLvTgjeHXAnfCRCvvQak7jqB4u8CmOWEQpFoqLDYyMRKkG73K+ZcGbEg\nmDC5Nz2D8alp9O97Jn6QAsYmH2Bskr32EwDU6jZg+6Y2/NO5QUSoCL7Ytx8z8wtYdbP3cMiXXEvQ\nF5v1ks3SbddHPTo0UNKUJLMTvTX4F790YjXl04oHfR92WQjHP3bizeejY07X172Q31s6EwplvQuD\nfxbHrSHU+8/DpmqB3JRYXiRZKZBL2V3CG6t8AKow0DgXC2OnrymmGTLsWsCltcRyQieHnHn3AyoU\nzPm3cSwxxFGfGYIJk4UlO6o16vVPTKJGV41FuwPhSFQVXVhcxsaWJsHa+JZjpMd6cfVdGhdW5ewR\nRAqpeJySifdRj6F5P77xSwdaqyWY9bDYvVD4743LhEJ5VrBbZsFPXorX0PrOBQtuWZEgUJKVgkMR\n9gqDj3zRXTNzF3KkblmwvJlMYZbepwuPKqQSNC7fxiJKyzxEesDnB/sbKSAd2zbhN1/ox4G9u6FU\npMqyFecqjA16KJUKyGQytDQZoFWnVmPli3KM9KjzWBI0ZSCqtdd54qYSeyS19wQArLFUvi0WyffR\na1bhZ1+qg1YpxZqMXQMvxvcm0xnhMvXgWI8OLlMPZDojDP5Z/ORQYjHGnxyqhSEwm3CsS+PCQOMc\nBhrn8OP2cfS1qvD6lcS2vCevObG7KZoTRJ8rZG+WTImXE4qbHY/36nCsR4efv6RDR2gKYRf/JWzy\nhTnnA4Z4/xK6BzwTulc8YX0K6oCfuP8QN+9MAgD27NqBnt2duPLJrYRznKtrGL17Dy/270coFMby\nigvpyuR0d26P/dtqW4Z1cTmrMTHNFLRmNb8WAkLVaUu6c/ks6E6LfJY5z5ZMdls1BjO+e/E+/uxg\n3FT0nQtO1DRuEc2OLF0RvnTmpe4izj0NV+6IRk7Bzvg5xQeiVeEHj7alRAn+0PGUqBLpkssJicXs\nyEbyu8gMrx5gRDu+0zlftj3gTY16mAzxytOra/y7DQoqTGjHOxB1rB95bh/reVPTM5iangEA7Ona\nCbeHve4PANwcm8xrTLSZ4mvvTWGn1oM/YTT3SefQzSTfo1hkstuatgfQFgwnNMdyBSVoV3nR1zC3\nbjHFQpCuCF+6CJ1RDxK+G3ox6dKuYsAwl1B92Kj0C3KfXLkjnlDq8eTF7utbQgCiBSOFjhLMJCeJ\njeRyQlzmUTGYi7MpZlmuPeCti4mK9paNLbz/jYIKE3WVCl5fdBvZ1tIEu5P9MatSKeHzB6DVqLGx\n2YR3zl0WfGwa+BMECZCfZpVJrodQrBdXH3YtYGPwEX76pfqUa795wYlB6qmCj5kNriJ8nU01GKie\nAxqBUfcOHNt0N+2Ln+67YOu8xwc2VQu+c8GSYOr67oUVGOvq8CWWXCa68gJzLAMG4Ts05fqcJpcT\n+uvb7AmZpWwuJmSHYMLk4P49MDXqoVIq8crRI7gxdhemRj3qa2sAUFh1e/HrJyYudZUKB/buxrnL\nwwCA5z+/FyqlEpFIBFc/HUUwFBJqmLHtelsj++83VvnQVWJx/OvF1dd5LGiuZn/J6xUhHMwwcVNo\n2O+jA9e9RoB7syoK5KYduGUFXn1/FgZlCLaAHDZlG+QbdmB8kbuHPVvh0YWAAsfMD2K/F8NzmFxO\nCEgteFqMHjiE4iGYMLl47XrKMdp0lYzX548JEgB4/+NfCzWsFOjt+ptD7GVEHvmqMJqHnZqZTV5I\n01Ha7XrIh4Uwew0ue1Ae05LFYJ8vZbOD3LQDduzAz5+MPZOXjblTSI7WOlK3LApBAqTuGnvNKvzd\nhBvHL7jQogVmfSq4qzdiRin+oqEEfqj4DHh6u97XqkrRrKJRNGa0NuS+M2FmYYvBdAREe6282l2d\ncr8nPrLDbNiIuTTXioViBjjkOo50vcjFIiQyhb2ckBY/dDyHN58ITzHDlofFdbwcHPCFoOKFiRxh\nAPKUUvKfLUfwzafV+KHjKSA1ST+GWBa1bMYkV6pS7jdMAbM+JVYlO4sy5mzhs497ocaRrhd5OsS4\nwHVpXOhqjAcKnHPo0Vu3jGPqqDlODO8BF8l5WNFaaLdw7FcUOuVOvHm4BqScSvZUvDCxqDbHtut0\n1dOT15x4XPM0es2WdaNoxLKoMVlvTD5J3DRBCxUAOD7oxz9vH4+Z4sRin6fJNfKolGFLQP3Gr+7A\n7bqHMx5f0YRLsmA8v9KAI3XLsb5AYoZZ9YLOj/nZl+pYS9mIJby5FKh4YZK++q94mg/xCVe014Ri\nO7q0FnzvYYdowpyZFDNCLlv4Mmkll/sZmvdjuy6ME71KAEoA4tCek4tPAuIV8sz8JWZ+DFsxUfp8\nEkSwPhUvTIBUJy9wOVa4LlvNj7mIyNYeY3jOizMjATS7r2JoXhyNp5IFaJgCJhS7RNe9j0+KaSqi\nKzBnMrZm91VsNtSgtSG6wNE1uWiKmRzItTMEEAva6NKuxX4WK8xINKYAIeVU8oMIkyTYCtflovnN\nLDkhXV3Bqb4axKsRu0VTAI8pQAHg47Hij0ko0tUqE4pMzZ/sY7PjglOPAUO8JhdNMbVnrp1hIfJh\n+IS5M2cKELYgHBLenDkFr80lduo8FlbNj65rtR6jHh3OLjbj1mM3a1XeTD9HSLo0LhwzP8CP28cB\nAAsBBX7cPh7LZSg32GqV/fYWoMV5C2dGXNhhH0Sf5E5R6l2tV0ctuvDFw9aJ9pw/Mp0R4/JtGDgP\n2L3RatRA1IfY31qFb/zSgTcur2DgPDAi7SDhzRlCdiZJ8FVFmOtzxJAEmaBhdo7g96e6Y787Updd\nbbNSIPm7YDpdaV4btGNcri94Dxu254TZ9KvOY8EdNGLgvAv7dC5cW1bhtYtunD6ojZ3P1TWQwA29\nM//TzhF8+WpSPa6abfjZs5aSy2sqNkSYJMFXFWGu8/NNghQaZqMjsYSh5kvyd1FMv0Oy78YbCoJ2\npANcTb8WMS7fhmM9Fpwb68G4a4HXYoRiDD0uJOyJscW3IJQaFS9MknMymrVufP+iHT9i1On6zoUV\n2NGW1WQ5NG04OTSKE701WVUjznS8BoUfXVoXbEEVDIposUJbUJXzjifsWoDWMYV/WvLk7S/ii3T5\nMtmQHL1WLL8De5hvAK9dDMZ2GukEHQ2fVQHW631DIGRKxQsT2uRD28sjwSW8vE2TkMz3v2xXY2bc\nldVCI9MZ0V83ha+958+qGnGm4wXiJqro/zdn/BnJi3Sf5A7cERt0+jCO9/JX7DJf2JzYUS36Ls4s\nZa5FJ0evXedIQhXa78DW1fNnX6zG197zY+A8sE/nwqST/Vous6kQY0r3nTN3MVWLl6GUSWL5LkN1\n/oS8JUJlUfHChIZeuIzhOfSaJSkvhXoye62116yCchz4k4OZv6yFIHmR1llHcPawFm9cXmE9v4ry\niyKaJR8tmqnNf/lq+qrKQsElEGo0Siw09uBY5wgGzrNfK5Sgy8ZHyJz/oXkVghHfk11U1Ex3csgH\nAESgVChEmCTBd+fFUmgLTI/R5mHPgwkF2YtgFppstWgu1quqLBSZPFvp2gcIYcfP5nlnzj+bOe5E\nbw1ODbtEJ0yS82OY/WyY5lNCfhBhksR6vUCypRTaAtNj0SklrMUuQ1JxLA58CuZiVCPO5NlKL+j4\nFybZPO/M+efyO8mefD1iKsWTaeWEUsuXERtEmCTBt9bKdMTT5GtSSY6+GarLbueQrKm9J9Hi9Ss2\n1Kvl6GtVJfiL+tuqcGNcHMKkFARzOjJ9tgop6LJ53pnzzJXvEn7SrVgsgoRQOAQTJgd6dqO1yQif\nz4+3PrwYO96xtR07t7aDoijMPrbhk8/GU65tNjViX/cuSCXA5LQFoxP3hRomK3y+zLQjnnaw5iuc\nku3WoYgLfzMegi50BQ7d1ow+N0VTo3oQluqhXZ7Cii8xWCAq+NpEEW/P1XnxNzdVI1wt3iq1TLJ9\nttLV+Cr0mJjzz5Yt/m/POVGrjEQTQX2DMOj1WFG3iPr7IPCHYMLk3vQMxqem0b/vmdgxU6MerWYT\n3vrgIiiKgkqlTLlOIgH2P9OFDy5ehdvrw1eO9MEytwDnKntbUL4RoudEr1kFl6OHF+EU770dzUdg\nvsz5RInJdEb4dEZ8pe4yb4KPb7g6L76x2YKjY9nl7lR6bkUuJM6/H0PLVRj4MIB9dT5cXlShTSvH\nD/vjyZTFSgTNBq7wc0L2CCZMFpbsqNaoE47t3NqO0YkpUFR0L+z3B1Kua6ivg2vNjTVPtC/r9Mw8\n2ppNGJ24J9RQE8i050Q25dD5TASk7dZCJd7xKfiEgI8Es1LKrci1B4pQMOffYDPHxjUz6MOpPm3C\nucWOWswErhpqxH+SPQX1meiqtTA26rGnqwPhcBgjt+5g2ZEYWK9RV8HtjTf4dnu8aNTXJX9U0WHm\npwwY5jHq1sXKb3dpV7EWji5zfZI7OPcowFsiIG23zjfxrpI082Tt86nQJE71JRZQLIWFT2zQgm3A\nMI+VsCqWnCuXRn0qfa0qqGVK0UQtEoSloMJEKpFApVDg3fOX0VBXg+ef/Rx+8d5HiSdRhRxR/qRr\ny/svm2Zw67EbZw8n2rfzWbhou7U51UIIIDNndDGq6BaTZO3TGB5mPU9M4dqlhtMTSDG7nhxywukp\n4qAYVJLyVCwKKkzcXh8ezlkBAEsOJygKUCkV8AeCsXM8Xi+06rh5TKtRw8PYqSTT3bk99m+rbRnW\nxewKFaYzV/EB33kmtN3asjyF/3DRweIsXz9KLF2+RimR6wIhpqgwvkrGFBulTMKadzLwYQC+Io2J\nhk15ev3KOLSSZby0UVIRHTtNjXqYDPrYz6tr/Ev5ggoTy5wVTQY9FhaXoavWQiqVJggSICpkdBu0\nqNao4fH5sKnVjIvXrnN+5s2xybzGlBzZdNbWjC7tKrq0q7z0dBdi4crXWZ5OwAlRsiNX0gn6oXl/\nzn4PvnOJ8iHbts/phE8xF0K1SsF+XKko+m6PTXl644AWA+fd+M5TEHXHTr6wLiYq2ls2tvD+NwQT\nJgf374GpUQ+VUoFXjh7B9dt3MTltwXM93fjqCwcRjkQwOHwDAKCuUuHA3t04d3kYFEXh2vXbeKF/\nPyQSCSanLQWL5AL47+ku5MKVq7NcTJp5OtIlm+ltfpzuy61fd7Ey4PmA7+czG9JFPon5mcpUeRKr\noC4V1hUmW6rcKcfcYRlsQRUiabRYrt0ELUCYeH1+nLsct2PPWW34+1/a1htaSSDGhYsrX2N3kwGj\nbknsJRJTFnMy+QQgdGlc6GoMATBjwACctZkBhDDqLv79vlxvxbM6BwBgLSyNNTC76ip+EApTkHW5\nNySE0O9uiia+vnFAfH1WMhV0xRTU5cC6wuRfNT3CVrUHD31RP8ZGlRcWvxpaWRj/1/xGXHfXrPMJ\nhGKU7lhvPGz5GjLKiMGH0XMGDPNFX1iTYWqOk/fYpUkmmrDYwm2ZvG034W27CUC0KnRyQIdYSJ7D\nQeophKV6nBq+DZkEolCaaApd76xSWVeY2EMK/Lv7nbD4o8KkVeXF7xrm8P/OtOD7bfdw/X7lCpNM\nyprwnQTJtRXPdhchNgGXCcwFLCyRi8bvkSm5mlGEjETi07Qj0xnx7c7o4iymZ6rQ9c4qlXWFSbPS\nFxMkADDjV6NF6YU1WAWqxMJ4+YQtQuTkkA/hSGLjK761YLatOF+7CCGy/4UiH/Nhse4zFzOK0AmW\nuZp2kuewT3IHtuVlnBkJIBRByntQbNIpTzGFbJ3kY0J61hUmFr8a/7rpIS456yEB8FyNHTN+NeSS\nCEIiivzJh1w0P7YIkRO9NbjxxAFMN9saaJxLeEj58kMI4SwUs/kHYHnpG4FR9w4c23Q3K01Y7PfJ\nhK+y+3zDnMMtoWksLPtxuq8KQDQZdF6kFQVomO/8sCtqCnv/2bWKiOwSinWFyZm5TXip3obf1C8A\nAO54qvH/2FsRpiT4/sOdgg9QaHLV/NJFiDhcC3hkteDMUvRB3dLhx1lHB69+CCGchWKPZqEX/XRl\nxMuNUuiHMziTe2RdMeB654dIBZW8WFeY+CkZ/mG5Cf/AkgvojYjFKpo7uWp+XI5epyeADhm7+Uss\npBMaMS1dxNp6KZBN7bZ0iDnklibf0j6FhuudPzXsAhjlxfj6DiuFdYWJWenDPzfMolXlhVJKNzGQ\n4A+mnhZ4aIUhV82vpr4Br195lBAKefKaEzqFEr+9RYo3h1yxGkX9rVW4MS4eR18svFO7GqspFv3/\nasLvCbmTaUOm9SowiCnBkguu3iZysHfuLDZc77ws6VCm3yEhyrrC5FjzNP4/mxl/YJrBHz3ciSO1\nS5BKysfznqvmN6PchIc+TYID+N93VOHGKMVaowghCrQ9WQyU+osidpNcpqz3PYgxTymZvlYVXhv0\npwg8i0ocAi/5WamVLYHtXQyXz7JWFNYVJkpJBLfcNZBgBragCmcXm3Fm8xj+m43/dPxiwLbDeP2K\nGzX1G9fdoidHiPSaRyC/6WKtUfTq+y6ISZiUOvn4jMQUtZZJ8ysxhnEzx91rUOHCihbHB+1oqfIj\nTAETil2iEXjMCt8AYNBT+NFVK77/bHyOv3XJh9/ZqsLHjvh1YnpOSoF1hUmQkkAKCo8DKhytX8By\nUIEqKce+tgRh22E4NB2QKXN7EeRK9ha3DWppSWvQYoCvfAsxRXOJaSzZwJa0iHrgzc4RAMDHY+IQ\nJEziY27GH2+0p9S16zVbAAfb+aX13RSLdYXJz6xtUEkj+OnjNvyuYQ5Pa8P4j3ObCjG2gpGv5sds\nfhUKAECqQLGGq0vOlCQm8insWAzy0WpLpVw62zhLBfa6duLxa5Yi6wqTSW81gGjk1pn5zYIPqNQI\nuxZwac0Xa341NO/Hdy6s4CeHamPnnLzmhEPTJQrzRKlSauGnuWq1pdJrJl14ba+ZfXdOKG84hcnr\nbZOgKAkkLM52ipLghzPbBB1YqVDnseDE4biPhH6RXn3fhRZ1CLMeObbqKNT5LXBAXFp0qWjAQOmF\nnwL8JcOKsddMuvDaUhMmpfQeiBlOYbJD7cZSUIlLznrc9Uad03R8Ewl6iMMWZthrVuEvRinUqSn8\n6aG4Ni0ms0yp9EGnX/T74SDr78WUb8FEiGRYMfWayTS8VuyUmvlUzHDoe8DX73bj57ZmbKzy4hum\nGXRXu+AMKzDq0eF2GTmOuzQuDDTOxWza9L/pyI90hF0LCHpWWX8nDwdSorpO96lQ5xGHhlnnsSSE\ncgLiGh8QX5DPHgZ+d1d1NMSaQTTfQpx2+lzntxSSFAHu8dDhtdm8R8Ukaj4V93tQKnDuTCKQ4NO1\nWny6Vgu5JIKDNXb8uH0C/33RjHfs5SWxZ5acsC0vw/YogBmfDwa9HlCnb5vaGphGY+QRfqNbhZND\nzgTB8a1LPs6oLrGYZUqhTAfTlEKbTk4NuzC/GsJj1Isu34JJrvNbKuXSucb5O1ujP4s18inZpOVR\nsUemiuk9KBXSOuAVkgh6qlfQX2OHQenHP9mNWTXpOdCzG61NRvh8frz14cXY8Y6t7di5tR0URWH2\nsQ2ffDae8bV8c9PqRUfInlCk7rVBO8blesh03Dswp30Jf3k4nptyatgFmQS4vgQs1u5CXZD9xReL\nhlkKGnDygtxrVqHXrMKZERfuasSRb8FFNvPLjPz686fteO9RfSxnQ6zl0rmSKXvN4hljMmymx3/9\nAbsw8YYl6NK4UOudjVVD3uEbhEGvx4q6hYT1syAzbNz5A7ZfvNb8AP9rw2N4KRnetRvwt0vNuO3Z\nkFU9rkAgiKlpCzY2N2Hi/iMA0cb22zdvxHsfXcHEvYdYXnEhHE4tu8B2bTL1tTo4nPnpD7WOcfzf\nhxJl6osb5Xhv0gl/Nbd2Veudw2+2RxeGlg1yfL5Zhf3NKrwzp4Snfgc8ETkez1twoCWeqPitSz7M\nVm2GVFWd15j5wBOR4/pDG17cGL93MY0PAGSr8/hnLAGEV+b8eKjkJ7JQqPyBbObXFlRh1KPDgGEe\nRmUAf2brxpK6Df9n9zI+kezAF42+J8KGglERiAkeW7C4jm6pqhr+6uaUcY66q0U1Thq2d71BI8WZ\nT9x4YVPqe2pdC0HtnsPpvirsb1bhxY1y/P3EGm57dKJ5R3KFj7UzGc6dyaGaZfgiUrxc78PL9alF\nCl+Z+Ny6H76wZEe1Rp1wbOfWdoxOTIF60gzF7w9kfK0Q5GqOWE/zlOmM6K+bSkmMEotZphTKdKQz\npTAzlcWITGfEHesKXn1vFgZVCDa/HDZVC+T61Pllml6Se4GItZVsch4N899izadKFyzD9p7qrCOi\nLP8vVjiFyct3egT5g7pqLYyNeuzp6kA4HMbIrTtYdjjXv1AgcjX3sC10yfkk7IlR4kGMZTqYpDWl\niFyYhF0LeEq5iNOHmdF8ixh31SYIbDbTy7wI80qSGfXocNPqRZ3HApsu3hNkwFDskXHD+U7Lq+Ay\npb6nVZQfbAnIVZSf+FNY4IzmEuwPSiRQKRR49/xlfHLrDp5/dv0djpBEhUJiu91MooRkOiPG5dsw\ncB44M+LCwHmgv61KVJp9OSDTGaMveo8OR7vM+PqWUKwsjZijhTKN5iqFqDo2mJF2x3p0OHsY6AhN\nYWg+tXW1WMj2XQ8F2O8lFBTvPRaTdTPg+cbt9eHhnBUAsORwgqIAlVIBf4A9j2A9uju3x/5ttS3D\nusjSeCUN+Zh72Ao9il1jLmVKqddKpuZTtYzC0HwAgzP+WMuCvlYV1DIl6/ViIdOeIGIi23c9JFOm\nRGqevOZESCoOH1A2mBr1MBn0sZ9X1zy8/42CCxPLnBVNBj0WFpehq9ZCKpXmLEgA4ObYJI+jIxD4\nIVPzqdMTYG1Z4PQAbCYWsVCqSYtZmXblVehvlcQiNcNU1PpwY1y83wsX1sVERXvLRv6rvgsqTA7u\n3wNTox4qpQKvHD2C67fvYnLagud6uvHVFw4iHIlgcPgGAEBdpcKBvbtx7vIw57X3Hs7wPsZSyQQn\nlBaZNrVSyiSsLQsGPmQPTBELyUJxaN6PwRk/Hq+FyqYkiUPThr+5P5VQE442i4nNvygGBBUmF69d\nZz1OCxAmXp8/JkjSXcs3ubbtLXXKpbmUWMnUpKJWKVivVyvZj4sFprAcmven7K7KQSErhYhHMVFw\nM5fYKIVMcCEQa8hpudClcaGrMQTAjAEDcNZmBhDCqNuVIKxpDZ/W7Gm/idOjgtjMXAkthttdseRK\nv3cN/+kFfcK55aKQiT3iUUxUvDAphUxwQumRaQl6h6YN3/jVHWzXhRM1+4tuDM0LP850PeiTd6gp\nLYapHqAeOOI5z/rZ5a6QERKpeGGST9vedNAhqwONc8SMJELEUnZcpjPC7bqHE73KhOOnD2oLEhm1\nXg/6TAhxNF4tB4VMLM9JKVDxwiTXtr1cPocujSvhBT272EzMSAKQjUadjNiCLrj8Jt6IVNRKCD22\nLXUqvPHrNbz++XiJkdevuLG7yYAVtUs0487WTyi250TsVLwwAXKzi7L5HAYM86J5ccqdfDRqsQVd\ncGnwd9zVuCZiRYQ23b3TOY8fPNoWU8jCFDAi3QUZZQT4T2fIGbZ3lhYwdE0xpoB5ZBXXcyJ2iDCp\nQPLR6ssBsQVdZBpGLDaYJqA6jwUOTRuO9UQz9z8eK43FNl0gilFkz4nYIcKkAuHDTl7KFCLoIhuT\nCh2Cemr4NmQSiDYElXlPQ/N+9ETG8cZhLWgT0OtXxjE0L0evWfXEV1jaygkJzskOIkxyhEu7p30m\nxfr7pf4CF4JC7ASyDb2W6Yz4dmdUqxdrCCrzng6tTeCNA4nP2RsHtLEe8GJtjpUNQgXnlCtEmOQI\n/WJ1aVxRX4lbh1F3dcz+uhaOLgcDjXOCLPaVvrvIB5KMlju0acuKEOvvxV5OJRtyDc6pVIgwyZN0\nUVv/smkGZxebyWLPE7GIuSfCeWbJiQc2J86MeLIO2xQ6Ga0cd47M6KY3h9iXDroHfLlAkhYzhwgT\nnkluGpQcMkzInGS/Q+y4dg1/+Fk9OkJ2/PSQOMM2y3HnyIyC62tVpVTUZfaALwe43uVSVgiEpOKF\nCd81qtgyn8UYMlwKyVhcfocBw7zowntzJXnBAiBa5zUzCq7XHJ37U8MuPF4NAUotTA169JrdRRxh\n9qy3g8ykigEhSsULk+QFixl3PmCYKwvzRDLlkIwltvDeXElesACIdtFKjmLqNavQa472MPlY+xwm\nKOA7GCnS6HKjHHeQxaLgnRbFzqhHh7OLzTi72Iwu7Vrs35kKki6NK9YFMDkzXiyUanc/JiRss/Bw\ndSp8rqV8TFuE3Kn4nQnflEJmfIMiCCC1hEeDIlgyWn2pJvqxUSrtALii4HrNFtJhlECESSmTq99j\nKcheC4rruFhIzri+g0YMnHeVdHhvsiARu1mVPbqpdHa0BOEQVJgc6NmN1iYjfD4/3vrwYux4x9Z2\n7NzaDoqiMPvYhk8+G0+4TquuQl/vM6hSqQBQuPvAgvGpaUHGmM4Btx7FdGLn4/coRa2e/X4XMS7f\nhmM9lpIN2xRDX5lsnmO2cwkEQGBhcm96BuNT0+jf90zsmKlRj1azCW99cBEURUGlUqZcF6EoDN8c\ng33FBblchpeP9GPeugjn6hrvY8zVAVdsJ3Y+0UylmLSX7n7FSilEzGXzHHOdW4i+KwTxI6gDfmHJ\njkAgmHBs59Z2jE5MgaKi2U1+f2qva6/PD/tK1HofCoWxsroGjbpKyKFmTbGd2NFopsyPJyPTGeEy\n9eBYjw4uU4/oFrlk8r3fQkMvvGcPA8d6dDh7GOgITSHsWij20BLI5jnmOvfyrD/lXELlUXCfia5a\nCxBdgQ4AABMBSURBVGOjHnu6OhAOhzFy6w6WHU7O86s1auhrdVi0i8vDl0loqpCaaaVFM5Xa/ZZK\nHkw2IdZc55ZyCZV0iYkASiIwQiwUXJhIJRKoFAq8e/4yGupq8Pyzn8Mv3vuI9Vy5XIbnP78XQzfG\nEAqFWc/p7twe+7fVtgzr4rIg405mvcVNaDNYKfo98iHd/YrRAVwqeTDZCGmuc8MUcxGuRpd2TbSJ\nl8msl5hYbH8WX5ga9TAZ9LGfV9f4bzRTcGHi9vrwcM4KAFhyOEFRgEqpgD/JHCaRSPCFz+/F/Uez\nsMxbOT/v5tikoOPlYr3FXGjNNF+/RynY85mkv1/xCZNS2Ullo5Rwnfs7W1X4Ib3YLjbjnc4R0SZe\nVirWxURFe8vGFt7/RsGFiWXOiiaDHguLy9BVayGVSlMECQA817MbK6413BEoiitf1lvMC6GZ5lqE\nrtjBA7nCvN/vTe/AUe0qgDlRmiBKZeeYjVLyW+0UarxV+MGv11CrCGMlKMP+lmr0mimSZ0IQVpgc\n3L8HpkY9VEoFXjl6BNdv38XktAXP9XTjqy8cRDgSweDwDQCAukqFA3t349zlYRga6rFlYwvsKy68\n/MV+AMCno+OYsy4KOdysSbeYi1kzbfM/wOlDqbumb154gDmIV5gwEUNIbTpKKWIuU6XkbbsJgAmo\nAd55cu4nXuC3MZJQ0RkQb30xNkptly5WBBUmF69dZz1OCxAmXp8f5y4PAwBsS3b81f98R8ihJSDE\nwyRmzTTEMQKu44TcKPfy5Uw/CU2XNhq+XypmrlLdpYuRis+AT/cw5YOYNVMx75oIpcNZhp8EiL5L\n89MuyKUoGQ2/VKLuSoGKL/QoZL6IWHM5uAr2kWxmQq7QStnxXp2o82qSKbX8JTFT8TsTNkf50Lwf\nyoAPZ0YkJaNhZYOYd01clEoxxEqlVDV8skvnj4oXJskPzdC8H5dmfPirL8c7yJWjDbXU7Plid7hX\nOqWSV5OMmH2bpUbFm7mSTT6DM/6EVqRA6fX6IBAKTalq+DKdEePybRg4D5wZcWHgPDChEPcuXaxU\n/M4k2eQzyVHZRWwaFjH7EMQE0fAJFS9MgESTz8B59nOSNaxiL+bE7CNuiv18CAVXGD2tlJ0avg2Z\nBCXhhwNIaDCfEGGSRKYaFlnMCekox+djvYVXpjPi251Rc3Ap+OGA0g0cECMV7zNJhthQCQR22vwP\nWMPo2/wPijSi/CGhwfxBdiYslFqkU7aUqwkmUyr9/nOlHCsnlGrggBghwkQgxLxglaMJJhvEdP/p\n2kYX+zlJphwXXhI4wB9EmAiEmBYsgnjJtW10MSjHhbcUE3jFChEmBAIhI8p14S13s3ahIMKEQKhg\nsjXHkoWXwEXFC5N0L1Om14nd1k0gcMGHOTa5jzpQWv1MCPxQ8cIk15eplGzdBIKQjHp0uGn1os5j\ngU3nQigCnI+0QaYTvyBJFoRiCpQpNQQTJgd6dqO1yQifz4+3PrwYO96xtR07t7aDoijMPrbhk8/G\nE66TSaX48vOfh1QqhUwqhWXeik9HJ4QaJoFAyBO2ZMb5EskiZyqFA4b5kmnqJUYEEyb3pmcwPjWN\n/n3PxI6ZGvVoNZvw1gcXQVEUVCplynXhSATvX7iKcDgMiUSCl75wAIaGetiW7EINlUAg5AHJIicA\nAmbALyzZEQgEE47t3NqO0YkpUFQ0u9TvD7BeGw6Ho4OTSiGRSOAPsJ9HIBCKD8kiJwAF9pnoqrUw\nNuqxp6sD4XAYI7fuYNnBXqb35S/2Q1etxcT9h3C61go5TAKBkAXlmMxIyJ6CChOpRAKVQoF3z19G\nQ10Nnn/2c/jFex+xnvv2ry5BoZDjhf79MDXqYV1cZj2vu3N77N9W2zLneQQCIT+4Ih8HAw14bXCu\nrJIZyw1Tox4mgz728+qah/e/UVBh4vb68HDOCgBYcjhBUYBKqYA/yRxGEwyGMPt4AQ31NZxC4ubY\npGDjJRAIcTgjH5VAWK6JJTOGKWBCsUv0zvdKwrqYqGhv2djC+98oqDCxzFnRZNBjYXEZumotpFJp\niiBRKZWgqAgCwRBkMinMxsaCCgwx19QiEMQKM5kRAD4eI4Kk0hBMmBzcvwemRj1USgVeOXoE12/f\nxeS0Bc/1dOOrLxxEOBLB4PANAIC6SoUDe3fj3OVhaNQq9D2JAJNIJLj/aBaPbUtCDTMFUlOLQKgc\niPLIH4IJk4vXrrMepwUIE6/Pj3OXhwEADucq3v7VJaGGxStcXecIBEJpQJRH/qj4DPhcIe0+CQQC\nIQ7ptJgjdR4La9e5Oo+lSCMilCph1wJ01hGcGXFBZx1B2LVQ7CERCFlDdiY5Ek3ISo2jV8souAo/\nHEKJQna4hHKB7ExyhCRqEfigXHa4XRoXw3kddWQPNM6hS0NUq0qB7ExypBy7zhEKT7nscGlH9gCp\noF2xEGGSI+XadY5QWMgOl1AuEDNXHsh0RrhMPTjWo4PL1EMECSFrojtcf8Kx6A63rUgjIhByg+xM\nCIQiUi47XJJzRSDChEAoMqXeV51EpBEAYuYiEAh5Ui4RaYT8IMKEQCDkBWmORQCIMCEQCHlCItII\nABEmBAIhT0hEGgEgDngCgZAn3SY1ar31OD5oR0uVH7M+FUwNelSp1Rjlv6EfQaQQYUIgEPIiWsL9\nKaAeePNJRNoEBYAIkoqCCJMcIU11CAQCIY5gwuRAz260Nhnh8/nx1ocXY8c7trZj59Z2UBSF2cc2\nfPLZOOv1EgnwlSP9cHu9OH95RKhh5gxpqkMgEAhxBBMm96ZnMD41jf4nLXgBwNSoR6vZhLc+uAiK\noqBSKTmvf2rbZqy4VqGQk80TgUAgiB3BorkWluwIBIIJx3ZubcfoxBQoKhp/7vcHWK/VqKvQ0mTA\n5AMLW0FVAoFAIIiMgqr9umotjI167OnqQDgcxsitO1h2OFPO29fdiZFbd6BQKAo5PAKBQCDkSEGF\niVQigUqhwLvnL6OhrgbPP/s5/OK9jxLOaWkywOf3w77igqlRv+5ndnduj/3baluGdXGZ93ETCARC\nKWNq1MNkiK+nq2v8h9oVVJi4vT48nLMCAJYcTlAUoFIq4GeYwwwN9Wgzm9BiMkImk0KhkKNvXzcG\nh2+yfubNscmCjJ1AIBBKFetioqK9ZWML73+joMLEMmdFk0GPhcVl6Kq1kEqlCYIEAK6PTuD66AQA\nwNiox64dmzkFCYFAIBDEgWDC5OD+PTA16qFSKvDK0SO4fvsuJqcteK6nG1994SDCkQgGh28AANRV\nKhzYuxvnLg+nfhCpFUcoY0i+EqFcEEyYXLx2nfU4LUCYeH1+VkGysLiMBeIDIZQxJF+JUC6QQo8E\nAoFAyBsiTAgEAoGQN0SYEAgEAiFviDAhEAgEQt4QYUIgEAiEvCHChEAgEAh5Q0ryEgiEvCC5MgSA\nCBMCgZAnJFeGABAzF4FAIBB4gAgTAoFAIOQNESYEAoFAyBsiTAgEAoGQN0SYEAgEAiFviDAhEAgE\nQt4QYUIgEAiEvBEsz+RAz260Nhnh8/nx1ocXY8c7trZj59Z2UBSF2cc2fPLZeMq1X/uNwwgGQ6Ao\nCpFIBO+cvyzUMAkEAoHAA4IJk3vTMxifmkb/vmdix0yNerSaTXjrg4ugKAoqlZL9Ygp4/8KvEUhq\n6UvgxtSoT+jxXMmQuYhD5iIOmQthEczMtbBkTxEGO7e2Y3RiChQV7cXr9wc4r5cINbAyxWTQF3sI\nooHMRRwyF3HIXAhLQcup6Kq1MDbqsaerA+FwGCO37mDZ4WQ5k8KLB58FRVG4++ARJh9YCjlMAoFA\nIGRJQYWJVCKBSqHAu+cvo6GuBs8/+zn84r2PUs5796Mr8Pr8UKmUeLF/P5yuNSws2Qs5VAKBQCBk\nQUGFidvrw8M5KwBgyeEERQEqpQL+JHOY1+cHEDWDWeasaKiv5RQmWza2CDvoEmF1zUPm4glkLuKQ\nuYhD5kJYCipMLHNWNBn0WFhchq5aC6lUmiJIZDIZJBIgFApDLpPBbGrEzbFJ1s+7/2i2EMMmEAgE\nwjpIOvu/SgnxwQf374GpUQ+VUgGfP4Drt+/i/qNZPNfTDX2tDuFIBCO37sC6uAx1lQoH9u7GucvD\nqNZq8IXP7wUASKUS3H80h9GJe0IMkUAgEAg8IZgwIRAIBELlIIrmWGxJinuf7kCr2YhIJILVNQ8G\nR24iGAyhWqPGb33peThX1wAAtmUHrl0fBQDo62rQ19MNmUyK2cc2DN0cAwBIpVL07+uGvq4GvkAQ\nF65+CrfHW7T7TQfbXDyzawfazEZQFOAPBHB5+CbcXh8AoGvnVmzf1IoIBQzduI35hUUAlTcXlfhc\n0HRu34ye3U/h7D9+EAvHr7TngiZ5Lsr5uWCbh+7O7di+qQ2+J2kXn45OYM5qAyD8MyEKYcKWpDi/\nsBjLjv9c1048vXMrPh2dAACsrrnx9q8upXzMs3u6cPmTW1iyr+CLffvQbGrEnHUR2ze1whcI4u/e\n/xibWs3Y+3QHLl67Xph7yxaWuRiduIcbt+8CiFYQ6O7cjiuffIYaXTU2tZrx97+8AK26Ci8efBZ/\n9340Oq7S5gKovOcCALTqKpiNjVhzx1/ySnwuAPa5AMr4uWCbBwoYm3yAsckHCacW4pkQTW2u5CTF\n+YWl2L8X7SvQatRpr1dXqaBQyLFkXwEA3Hs4i7ZmEwCg1WzCvYczAICHs49hNjTwN3ABSJ6LUCgc\n+7dcLo9pHW1mE6Zn5kBRFNY8XrjW3Gisr63IueCinOcCAHq6O/HJZ3cSjlXicwGwzwUX5TIXmSZ3\nF+KZEMfOZJ0kxW2bWjFtmY/9XK3V4OUv9iMQDOL67buwLdmhUVfB7fHFzvF4fdCoqwBENRZ6e0ZR\nFALBEJRKhUjLtbDPxZ5dO7FlYwvC4TD+6fwgAECjrsLisiN2pcfrhUatRoSiKmIuQuEw3n0yF0Dl\nPRdtZiM8Xh8cztWEMyvxueCaC6Ccnwv296Nj2yZsbW/Bkt2JkVtjCARDBXkmRCFM0iUpPt2xDZEI\nhQeWOQCAx+fD375zDoFgEPraGnzhQA/+4YOPizl8XuGai+u3J3D99gS6dm5Fb3cnLo/cKvZQBSeT\nudj3ZC4q8bno6tiGDy9ei51TKSWIspmLcn4u2OZh4v5D3LwTTaXYs2sHenZ34sonhVkrRGHmYktS\nBICt7S1oaTLgEsNOF4lQCASjknF5xYlVtxs11dXweH3Qaqpi52nUVfA8kbi0gxYAJBIJlAq5CLWM\nKFxzQfPAMhc7Fr3nuPlPo1bD7fVW5FxU2nNhatRjg1aD33zhIL720mFoNVX4yhf7UaVSVtxzkW4u\nyvm5YHs/mGbfyQcWNBZwrSi6MJHJZJDLZQAQS1J0OFfRbGrErh1bcf7yCMKRSOx8lVIJyRO1o1qr\nga5ai1W3G16fH8FgKEEQWeaj2fYz81ZsbW8FALS3NGHetgQxwjUXG6o1sXPazEYsO1wAAMu8FZta\nzZBKJajWqqHboMWSfaUi56LSnotF+wr+x9sf4hfvnccv3jsPt8eHt391CT5/oOKei3RzUa7PBdf7\noa5Sxc5pa2mC3Vm4taLoeSbVWjW+8PkeAIlJiv/sy88nZMjTIX0bm5vwzK7tiEQoUBSFG2N3Mfs4\nGvoWD3GTYda6gKEbjBC33megr9XBFwji4tVPsSbCUD+uuXj+2c+hZkM1IhSFVbcHVz/9LKaBPN2x\nFdva2xChKI5wv8qYi43NJjyza0dFPRdMvvbSF/D2ucGY5lhpzwUT5lyU63PBNQ99+7pRX1sDgMKq\n24tff3KrYGtF0YUJgUAgEEqfopu5CAQCgVD6EGFCIBAIhLwhwoRAIBAIeUOECYFAIBDy5v9v7/59\nmgjjOI5/rtgfaZGTll9BQw0aSGAwDCyGWBITV3dH48h/4GIcHN2dGVyJIWFwQWQSE1hrQgLFJhjo\nkSvgeZb2HKrGqCH2HjiBvl/TLU/yXS6f3HPPfY4wAQAYI0wAAMbORJ0KcJ68GlvRopvT8/KwJCmm\nQLOjayp6GT0tjejulV3dTB3qxXZeD3rLute9I/corlSsrg0/rdlPV/Xx6/HFpcB5Q5gALfrSiGko\n6SluNVQLYprodLVbSygI/mzHCiTNVQY0V2k2sU51OXp2vaiZ9XFV6/GIJwdOD9tcQAjvD2xNdjZr\nuwu2oyU3K8v6+/e/v0bMcjWr1cMuFWwngimB6BAmQAhv3azu2I4uWQ3lk56KXuaf1657aV1Lnq16\nDsAUYQKEsOmn1ZfwVbAdrRzYLa212qUrHm2FMAFCerffrYf9W1pycy39S+RG6rO2fF7A42IhTICQ\nXu/16OXOoErHBMPvIXP7sqNbmareuLnTHQ6IGKe5gJAqRwnNO/2Smqe2fpzm6lCg2vfrQNL93Lam\n7crPo8GPN0a1X+fWw8VCBT1wwh4NlFT2U1rY6/vfowCRYZsLOEFPhj4on/S0yDYW2gxPJgAAYzyZ\nAACMESYAAGOECQDAGGECADBGmAAAjBEmAABj3wCBw4PJrJu9jgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.errorbar(time, flux, yerr=dflux, fmt=\"o\")\n", "plt.gca().invert_yaxis()\n", "plt.xlabel(\"MJD\")\n", "plt.ylabel(\"Mag\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [], "source": [ "periods = np.logspace(-2, 0, 10000)\n", "periodogram = lomb_scargle(time, flux, dflux, omega=2 * np.pi / periods, generalized=True)" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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CIGBgaBSLyw5s62wDAFy6OoK+HVuh1Wpwy027AQB+vx+HOYqJiCjvFJ8HMW6fwjPPRnY8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\nKX0p9rdFn9lSq5m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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(periods, periodogram)\n", "plt.semilogx()\n", "plt.xlabel(\"Period (days)\")\n", "plt.ylabel(\"Power\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(0.015862399188335985, 0.99456532095791772)" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "idx = np.argsort(periodogram)\n", "max_period = periods[idx[-1]]\n", "phase = time / max_period - time // max_period \n", "(min(phase), max(phase))" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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hgAY60YLW4ZOGTHJbAqYlrzS6RWlHrTHhwnaxOmMmWyQvF+FagLDvZKtmFROO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\nDLgy7XdjWw3tONmuhdXQnnE7eqYmU53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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.errorbar(phase, flux, yerr=dflux, fmt=\"o\")\n", "plt.gca().invert_yaxis()\n", "plt.xlabel(\"Phase\")\n", "plt.ylabel(\"Mag\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.81000000000000005" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g_r = lcs.get_target_parameter(id_, 'gr')\n", "g_r" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": false }, "outputs": [], "source": [ "lb_view = client.load_balanced_view()\n", "lb_view.block = True" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": false }, "outputs": [], "source": [ "@lb_view.parallel()\n", "def f(idx):\n", " import numpy as np\n", " from astroML.datasets import fetch_LINEAR_sample\n", " from astroML.time_series import lomb_scargle\n", " lcs = fetch_LINEAR_sample()\n", " id_ = lcs.ids[idx]\n", " time, flux, dflux = lcs[id_].T\n", " periods = np.logspace(-2, 0, 10000)\n", " periodogram = lomb_scargle(\n", " time, flux, dflux,\n", " omega=2 * np.pi / periods, generalized=True)\n", " sorted_periods = np.argsort(periodogram)\n", " max_period = periods[sorted_periods[-1]]\n", " g_r = lcs.get_target_parameter(id_, 'gr')\n", " return (max_period, g_r, flux, dflux)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "collapsed": false }, "outputs": [], "source": [ "results = f.map(range(1000))" ] }, { "cell_type": "code", "execution_count": 103, "metadata": { "collapsed": false }, "outputs": [], "source": [ "x = [i[0] for i in results]\n", "y = [i[1] for i in results]\n", "flux = [i[2].mean() for i in results]\n", "dflux = [i[3].mean() for i in results]" ] }, { "cell_type": "code", "execution_count": 139, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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2ywn7ZHVHtNsZ0Nx00tPn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X2lSL7as65MeGEvzOUxF2j1/Y98mHDCRQacRYzK/ftPZWIeWtuc7lZovDiTj5wSwPdbq4As5Y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ShKv7rwWiWn40fUg/XqgLwSknBcvnrKwPUjOk7MQFqwZRB+MRNTa3+wCpY4jvH9gItXynz9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\nOwxDLs4WWFip8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hHD4Eirt0YyX8Oedo/T6SQrN7ROqopMIqFiN10ealsc7FpEcYwiS+z2\nIv42laJt3SzToypKv1rrNlWXYRjRqdcZmJ/BGB8nNg28WpUH8gE7soJEHOJJCmEE+YTg4W0KswWD\n9h26NMIwZLln8+1kludaFtsTAcNSxP9rjfGc2SLru5QCjV94OZbabS4vN3jrfAoBlOo92l3rtgmX\nEAJF7usJ34709vyA6qpG+4GJQZ6RGqgi5livyLe+rfLMs3lUCebmLQaHDLwA0Ppv3uVLbRzdRJK7\nG44pSRL5jElzpcN/myozfJ3W8s9aCZzhDKfn70wqOK7Lsnt3C4hCCGQBhhTT9gRhKDGo9U0OI0PF\nUjWiY9sZq4b4isT8cvWOiwG3Q7Pncrao4vgxhrpuMuqF8O5iRLX14ZiqOI6ZLdQot0zeXzHRFIVk\nVuO/+28eYHI8DcDzz0zxg5fnOf5mgQPbTN76wRzTDwwjJVQIAk69U2AsDZPD/Tbr8SGNLTuSzBQy\nNPz1OSyOIizLZXa+h7Bdap0IPQr4rFtlfPX7PRr0+HfZEU7bLvl8kj2Hc0iSdN04Idj/4ADL8226\nsxufqSQJZEkmDMNNx/l61+J4IodQ4ABdPmmt8NpZm19e7dLzAur1DlMZg6fSbYqmxrluAjuUyGkB\nLySbfLWSv+34mUqZbBvJkIpiRuebdCSZmqLw7ZMBruXSaPdN7TzfZ9vkIFuGJU6frzIxsmXtGAlD\ncGXeptnu63trqkrGXB9fw+u+L1OJUaSI88t1yh2TnKmiaipPPTrCx47lmVu2+fqrAU8pDY6qUAtk\n3uwkWLRU/oAOYejx7+eTTIwodG3vjiTGB5kTr0FVFdwo5t25DoM7B/lFoccvFgMMQordkPmV6gYp\nq47lcrmhcHBo/W8ossRKW2KLsPiY1u8weEJp8nVplDc9/a6qZO8G18awMLq1DvLEaJbnjuU2xDwA\nhiR4yuyRZH3sGZdc/jBT5CvyGI2cgR+FVFx3A8n8UUOSBPmkwqVln8NjfZL5ciXm7Wqa//G/Pkwy\nodKw4dGHxvnJK3P84vV5Ll5pMzqy0fy10fSo1hy8W+QZkhDs3jHGn/7RXibG+tWYjz08wqUrLf7m\n23Bp5taSG5btcGaux/cSEk/u00mbgsVqyPdPWMytNH7nCoW6tsdsV2XPDdICMx2VrvObq6S+EW3X\nw1JkDN9nIZ1mdNcgSzG8VXCwmu5dS/N5nk+x/g8vkxDFMZ2eRecDLnhfD8/3Waw20UdzbNdlfPpz\nzUyc5CdejsXG7fPEOI7pWi5Xl7rs3JLe8LvLV9u0O7eOO2oti58tGEhC5/CgR0TM8brGK/MKn8is\n52Zzjk7PDe7Ze285Dlbhw49BqqIwpMDOwCKk32UAfX+M+7iP32Uc/EdtBriOt15bvvNGv8O4rXTG\nffSh6yqJ1M3DuhCCREZFliT+4cOAjw7FQgWra5NdaCCvmrJMbc0wti1907bJjIZu3N2U2LNdTlZi\nqukspj5EFEWUui6N7r3VVIPV9vbCvV1NGxrMsOvY8BrJDP13ZNsDg6xcaVKpNO+aeN0MsiSTT26k\nH6MYzs55WIrEW9uHcXwwLI/DlTaa4yEnNm7fN/8Z4E8ehC25/rkEEbx0ReflizEdHype36hLFn1S\nyVT6ieeOsMfHRA0bie9kh3k7MuhaDgsrNdpdhzMzfTLScX2WS627SkhVRWHL1CD5rImuSzRbHiuF\nxm0NaK6hbvtcSifYLm8MLoNYMB8aDGVUPrlntWJLSPR8yOd0aj0YMMHU+9XHWVNHBs6eaHL0ib6h\ny669KZZrbfJGzJenm7w96/LeaZ0YGNF8wo6P43i04zQtoTCmCQbS0lrb9hXXZFjVmA7yLHzA9ywI\nQrqyRFeRSd1AnhYNnfYtqkiEAEOGf/H/s/eeX3ad15nn7+Rzbk6VA1CIBAEQBHNOoqgWZdmyLclt\njcOa8Uz3mrDW/C8zPe3pbnWPLQfZVksygxItUoERDEhEDpXjzfnk886HWyigUAUQJBhEC89H1MW9\nJ7xpP/vZz07M8d65Ov/pXAZHyIzINvs8l0XRC14LmQR96TimCDlkJ+jXAvrwURFccE1+1kyx73yV\ndNvBU2SU/t68TlkWB+mskcyXsCfqcFRPom4foS9vIQOdhke7blPt2pRa64lKXZGJb0KeKIAVhChX\nEc3VRpf3T5VpL7Z4QAmR072mRVEoSHS73NHusmRZa7+TSliM9aXIxiW8AGqdgJnlxjXVN61mi5FG\nkX67TF3SsKKIrfsUUqKnaJEkqacAVyTGCyHjwznmliUa1xijl5Qw5VaHt4OApWQCM9IAia6Ac1UF\niZ4VzGLTprXaiKpxQxZDkM+mKPSliCc1XCek2eiyuFS7LqEOoMgSSXrPfbfUwSrNcPhHbYqhyd/9\n/SzPfnWU4a1JoggunK3z69creHoM+6rrUmQZXYL7leY6khng0XiHXzStDyzx/rAQQmB7Ef9wPk4Y\nQAKVrqxw52DIaE5l79Y4f/TlUSqRzGtHK7z4S4kLN1FpVK61KaYsvn1I5Zt3CvoTEnUHfnwG3p/3\n1pF1V+JGVFBCQKtj0+rYjI8U+LdPb6WQNtcqIhDwyN2DvPbmIm8frxGGgqXZJpIsk81p3HMgyb49\nBUI/RI0iBJAZtHgrZVEvl9d+Z3wwyzN3Jnhij0ZKV1CFYGlF4vtvDPKt2gJxIoaFx/6oy3I6QSKu\nk0n31rgwFHhBSBQJYgkVRbmcZJclicF0krypkxAhLUmh4rgsN9rrSOEwirhQrFNLxngj1uuD0HQ8\nlpeW1sZGWleY8w12mw7bjMv7RdFX6QbiunYn4/kMe7o2T4nu2kF2HoUfJzI0hMx88bINi6mrHJgw\neP2deVJJg3v296GqEtPzLf7xuTNrnpme53OhGBFEPeX6lTi9FFJr9SwYlqstloE924fYtz2BLEls\nG41hPDnK956PeDmII4cRo12HrygtDK33XCI/4rm3u8yvXPtMo6kqoyM5UikTw5BpNn2Wl+vUP2BP\nlGWJLVsGuPPJMfLDcXRNZQK4eKTE6feWmJ5Z3kDaL1bbvHghh64Itmd6c3m2qfLyOXg4qq15PJtS\nxJNGnblUlos3STRLEgxkk/QnTdJqSCtUqLQ9FqqtDe9b1xQyyY1hiucEjKsBhKybcBk5YEK1OWlH\n15yjnyY8z+f9GZf9W3S2xAUgcWhB5enHt5BK6ISRQFN67+7xh0c5/P4Kbx5aIZPSuf22NIoiUSq7\nvPjTOeYWr32OiMctDuwtrJHMl7BrR5qtYylm58vXVVJOL1apt12OXIwjyzK267NQbH6iFhefFBaq\nHV6YyfD7W2FrorfnT7c1Xpg1Wdikv8UnhVKryy/7s2ydSPGNZ/uJWwo+Egsd+PHz81jV5seWtPk8\nIYwiLqz09oVfx1NIEjRsn5Vm84bODHOLVX7w0ym+/uwEW0YSIODiTIsXXp5hqXTt9xtGEefnq7S6\nKV7P9qzCpCjiC9k2g0ZEFMGsq/N8MbFpE+PPCooikxbBp2pBqigfsWTrFj4SboYXuCH8hvYSu6Vo\n/u3ALaL5BtBpO9RKNpn+9T6aYRjRqDj4v0UezdBbsxrNNo1mj9jRNY1c7opA+QpUl7t0PoTthet6\nTH4OD7cAhqkTTxsb/l3VZMy4hqIoRB+SfJFlmf58ikI2jqGpfP9tjwd3Kuwc6k3d9y56FCsh//vj\nKuNK790cW7F44bDKRLGOc5UCJpOI8dAWifHM5YBOleHpHYLDixYEgu/OZ4mrEWOxkPtyDnE/5OUV\ni4eDnrmdRcTT1FhMFTi7SpLVm50PDISvhqLI7No+yO9+ZZztEwlkWaLZ9PnRTxeYmqxiraqYml2P\nxWobPwgwdI3R/hRxUycScMoP2Rq57JTayBJ4QuLnXp4VO2AwppO2Lt9jX0LizHSHbaNxtCtWvsWV\nLn1xqC7aOHaIaSnkCgZHHJkgksiY8OVxF0XuBS1vLiq85ffm/FKzy0u5An9i1DHU3vOfDTReI8NX\nHojR/LVgsaR8aB/35U6X13JpHq/UscIemVQ2dN5JJShfI1hSFYW05BHJCk/GGjxN73MBMqcUi5dq\nBgO5JA9uMZBExNNWE10RvNFKcralE/cDYm7IjsUWeT8k1BRKpoa7eu0JTWaQjYoRRZLYogkOPjHK\n03cX0IOQ2WWb770wzcCsj5pOsXRFh9xOEFAxdJLB+u9y5R65fnWTm0qtyRvvLHIgCJB7sTpRJKg1\nXHw/IC8gHo9Rokcy3709w9cPyuRivUTMVEXhnw7nODVdRkJioD9DImGCBJ2Oy8pKHRFEfJFlcvjM\nYTK1Mgi7NAJ6XdbzOQtDVyift3n6iWHeP5Xg3eNzNJoddF1jLJ/AMg0MTQYEXTdgvtym1bE5a398\nwWRfIc2e/QPc+XAfpqUShYLZi23ee1Vjamr5ugdWL4goaTr99NbXcclm3JlnWRh8Z2GIf/jeHGZc\nIwwFrm5gpzIEFxdpNderjIIwJHRDhhMbifswFPTjoqrKx0o0K7KMJuBAp8n9RgdTgUYk898XCrxR\n0fnWl3O0JIVQRNy/P8Oxs03mlmofuUolCEPOzpZxvCynV3RMTeD4UKzbzK9srExJxmOMDGXR9Z7v\n/UqpQaXW+sBqhrhlkM9o2B0Pzwl7PtmRIApC4pbCiTNldo6k+OZuj64PpVSepx5IUnegLatIojch\nzs7ZLLVaaz66mqoymDN54jYVWYIACYuI/QMyZ7bqnGzFuS9oEUgyA5HPWDZBQgmxIp9kSsMNJGq2\niu0G1Msurnv5XY/nMzyIy8F2DQ2Bh8R7ZopDuTQzlfVrUxhFFBttGrbH2FCWbCpDpi9DrdlhuVhn\nqdHlp7EUmb6QAa33G41Q4YVamrnqtfcTRZGJhYInlO66Q+woIfvtLmXJXKeGbnVcGp2QZ+81OPTO\nJD/++UUURUaVI5ZX2msVCkEYslyz+ekJhWdul9FViUgITi4Kjs76tLvryctWx2Wh5FLI9JqpjfQb\njA3EuG92BavaxXF9OqqCLUs0FIWyiDhbrK01S5Vlmf5sgkK6Zz3l+iFC03jqmQHGV+2o2q2AX79i\n8v7xlbW+A5shEY8xujNLbiiGEGLtN0b2pJk9V0VVNs5J3w84NVujZSdJWT1LDxmJr0mLjMjr77VP\ncjG1zRvufRiMFdI8MghP5aqYisCLJN5uxPi5luHCVUnZju2xVPZIxdcrfK24xoyvM3IV+xIJmA0N\nfP+DK+g+Dbiez+yKTT6pEBoSj26Dsq0wMhDvrdVC4Pi95JKhK2TSBofeW+L7z7u8/KsYmirT6XrM\nL9auaz0Rs3TGRjcKPQC2jKVQ31HhOudqIQS1Rvu64+vzAs/3OblQp+kmSZoWEtB0AubK9XXWFp80\n/CAgjGnc8Xg/dszEBiIEqhVx3yMFyqUuk9O/PbaLV+LSvlD8COPN9TzeP7tAs+WQiBu9xG27J3j5\noMpiRVFI9SW5/ckRMv0mzYrLO4eL/GqxS+AHNJ2A2Urzms2sPwv4QUBR6kkEPi3C5uPw47+FG4Mk\nS0zPffxNXj8P2LvvlqIZ4N1biuZbaDQ6XDxeoTAcI5ntEYkiEkweq1Kvdj5QSfavHZ7vUyt3mDtT\nZ+y2zBrZXC/ZzJ6rf2hvx88rPM+n2/SwkusV3GEQ4XaD65Zyq6pCfzJGxtKIhGCl7dLoOOzY0s8X\n7y9wz54EpqlSqYe8fKiM6wfsGlY4ORPwPz2oYkkRBD1/sYODsLRT5adumqXy+sx8JqGxLbeR/Di8\nIGEJ+Eqixi61ixQJzvsWfzeTQxcRj3pl+rgcqBTwMBXpI1lDrF1LOsFDD/Szc/tqgCRBLmfyzd/f\nynf/xuHPBkvIYcjZts7zc1kmS232jGf42t0GEwWJMIK3JkN+crKPV8I0SSmgFOmstD2W602yaYu2\nCwmjF4AeGAj455/O8Kff2IVlqWgKKCLg+Z/NcN94xOmyTLPhY1oKiiLR8SVentP5nW0hKRFh+D4r\ntsx7Mxp5VKqmQb1jM5ON89fSEMNegIOEp2s8cTDGUFZhvE/h/Yvqhyaa650uJ4DyQIGcH+DLEjVJ\nZrZxbdVHEEZUAoVWEBGoGmpPj0sgYMFV6Hghw1mLr23v8tcn4uzrc+gGEl/LBPxSxJheUHhyqULN\nV8kUdOoBnMmlqXR6wUA3iCijsfUqslnTVLpxi3tH4phhBJLE1qEYz35xjJe/26HPF5SUywRyqWtz\nOJWi4Hpriu0QeC+borSJ/2AQhMzOl0mnEyxXO8hAKMAPQoIwom6p2KvfPdaX5A/v7JHMAMUWXFyO\nyCsSewZzuLrO3Y8PMLI1jiRJrCx0effXJssLNV5JZvldqcQIDkdrPm/MqeweUzFjGqahcGLO42JF\n4ptP9rNrR47lYgfH8bh9JMNQUuL2QcEXJjwMVeJsVeaHp1K8N61Q+ZiCd0WW6etLcc/jA6haT3Ei\nKxJbdyWpFW2KK43rlrUuNrv8XMvxB2oRU+qtRY6QeTnIMl9torQc0rkUUtyCZoegXaK8UiYIQmKm\nyXDWwtAUHC+k7oRMtiV2mqz5hoahoN4KWAo2JgtuFpmExT2izbjXpiIUVm+fJ6U6/xglSPYncIJo\nLdl520SCd95Xb8oOyQ8CLsyXkCUJWVEIw2BTYUghl+buO4b50lPj9PdZNFserx9a5vW355meK173\nN2zHo1xzyWfN1TWip4n2/YhGyyOTMHlmh2BbNurZdpzvcHGyy/ZtMUoh2G7AmbNdpmZb63y0NU1l\nW7+MvKqQDiOBJ8sIEbJzUOGd8yZBu00bhYqicWAUEjGfQ78u8viXhnDtkPPHmizO2zRrHq7tI8sS\nmqYxqgju7TTXFFY6ggecBnPxPpZ1bUOQbho6+3YP8/vPbGXbWJIgiHj/XJ0fvTLDmclFTq60+K9B\nmj4jQpWg6CnMVTu0r6NI1VSVvsBDQWwwZB32PVRJYyCfIpeyAEGpbvMv77X4i2dzPHtfjNkVn6On\n28zMuYiuT8Iy1vz054t1XokEJxYtBpISDRtKTY+Z5fqGtalYafHzt8qMDZjkUr19f9/+DC/NtXgy\n7KBGAscLCGSJV1JJZmqXLbokSWLHaJ6nd6vcverXvdzW+ZdJBRGKNR/SRFLliS/2UVpxqDc717ES\nMckPb2xiJckS2aEY2oVelYEEJOMWA5aFIku0PJ/ZUpMwCJFkmT2DGfLxjfOmKnS8mxRVaJrKcFLl\n3xRqXBKM67Lg4UyH6W6ahdp6a46lUpOfvVVlMD9AOtELV4JQMF/2menG2GoaDCu9zwsBb/tpVhzx\nsSa5bhbTCxWCMKIvbbEtLbDkkMWVLoWMiR1IuIEgEhG+H9Joeri+z+xCmbnF3vnqRpqYOrbP0nKH\nvbdlN/xtfrH9scUohq6RyaUxLIMwDKlXGnR+A8/3rudzYbG6Nodu1Kbi40QyZhEzNfIFg0AIgiha\nu45Cv4Gu3zI/+KgIgoB6rYXqeb0kSdu9oTNHoZDi9vsHyQ70EldmXCUxGCdo+7huRKPrE4S/OWsH\n9EjfsuNzyMzwYFBfs9SrSLfGzy18viHEp6nTv4XPCreI5htAEIZMT60QvhiRH4oTS2qU5jtUK23a\nzS4ThTRCQKnrbtoU4LcBCwtleAPmztXJD8Vp110qyx3m5ks3dFD+14BKucnk0RLpPhNV7yl/hBDM\nnapRr7ev+Rx0TeO2gRRPxZtsV2u4QuZwLMnbTp779mZ49GB69ZOCgZzKVx/r59vPLXB82kWVQCbE\njaCqqhii5yY6NgzeuQDnKg9Ux4toXCWwXGlL/GpK5Q9SVQ5mInxXI3ACbpMdIqXBz9spxq7qnmMj\nE4iPTjID5LNxtk9cJpkNXUNXZYYTMqODJlgxksJhr+IRhPATLcM37jPYku8dtRQZHtulokiC773p\nUGs5gEM2FWPnWJ6uF/LLiwrP7oEojDi/Ak67ybf/+jh7d2XwQ4mjp2uMJ33uP6jx5mzIoKEghOD9\nI3WK9S6vdxTmawb70wFNV2K6LnHbUk9lbGfTnHNcWo7PXQ+mGc4pqAr0peS1AKfeiT5ykFPrdKl3\nbQxDJxkzSFsyg2oc24+RTBh4fkip0lp7x2EYUu6GvNuJc6/VRpJ73WbaocSvmnEajss9YyqGCqYq\nqIcKeT0kEiFfKrR5PkrxQnwIq+aDIbMUMzDyGsmFgHbXptF1eC+RYafUJS0uH8YvyBbNmMWpMzWO\nH48YyOkc3JVm11icHyQthudqXNQ1ArsXCHiez7lOB2cgz4jjYUURs5ZByfMpNTeSsooiM9KXRLcU\nliOT/b6DYPZjUwAAIABJREFU7UMrkmgpMsfiMaq1BqqqkInJ5Fe5lqkKvPZ+wKOizjOKx5wqc0zL\nUJ5uMTKRQFYkhsbj3PPYAL/8kcORlk0xMcwOySbquvztYZ3+SYn9EyHFdpeaq/ClZ3ag6wq6rpDL\nmmzppHhgIMBVdf5wT7hKugp25wV/cqeg2I5Ta3U/ljVQ1zX6hqw1kvlKjEwkyLwfuy7R3Oo6HFUV\nSskRdio2ArgQWsw3nVWlpkOz2ULTVER0mazpyyS4Y9DgqUGXgmFTdFReXlZ4yU6yvdyl3xREore2\nvOeYrLhiTVkkyzLJRIxEOkYURNRrLfwgIJewSBkqXT+k3HY+UGmWMzS2iRahiLDdCEeSUBSZfEpi\nUAuYL3UZuaLiqFxzP7Z9JxLimpUoiiwzOpzlG7+3HXPVMimV1PnSF8YoVWxWSte3EFouNXj59QW2\njCQwDQXoNRV980iRcrVNNqGxI9e7D12BL4/ZvPSTZd7KGegpk6mZDotLXabnyuu+N4oiqu3L644f\n9rzGuyiUOxEEEVU0VkKJk1acvxgXJIyQzkyTf/orm0hWefD+fh4+2I/tBBx7P8Wbb5uUSi32BM6G\nMl4JuC1wOLFKNOuaRj5uYikysXyKb35lG1uGe/0CdF3h7n15HDegXGuzUq5zeqHCRU0DCXzP/0D7\nkSgS1IVEpxOSTKlr1yOAsiMgLvHHTxTYPaIShHBkKsYbp23+8p/LDORU/KrHA06Du3yHZig4nExy\n3MwwW6kjBCyWGixXWmhqz0P4WolCz/c5dbHIX/5TxPaxGMm4ytnpDiUvYimZY9x3UYVgWjdZth0a\nV8zPZNzi3nGVRycu3+1EQeYvhlT+06EG49tia43hYjGFbF5Hm1KvaQHkeQFOZ/O/2U1vbT6M5zLs\nJWR/u44ZRSwbBm9m05xrtHBcj3LH5XU9yxe0yloSyRcSv/IyLDRvjlQ0dI29SY+rXEmQJLgj5XHY\n1NfNF9f1OHG+xP/zvZCd4xaWLnNmpstisU2l3uY7hT62aB4FJWAyMFhyYKbS5NOEosikLYuErOIT\n0RWCWNJElmVajQ7tdpfZpSorVY1v21kK8YjSz2fI9KVQVAXP7/UyeOOdJcpX2IcIIW74fNXq2hw5\nXuLA/gJ9+cvr4PRsi6mZG7MxuxZ0XSOXTWCaOloyjnVbH0rKJHID4hfK1KfLFFcqH/n7P0l8FgQz\nwHghzYFYSF0EJDwH1dJoySr2qh1RtxMgrtGo+xauD1VR2DWY4YlEm916k0jAiUSc19pZLizXrivo\nicctCsM9ktntBpx7eY67/Br7DZuu6XE8o/NqLMv5Yv1jT5Z/VCiKjCPBMT3NlBpnPLCpIzMr9M/6\n0m7hFm4KJ078Zu4bt/Dx4hbRfINwXI8LFxaYnzeQJYkgDBnPJrk/LbOHBhESx4wEpxMm0+XGDR8Q\nNU0lZZk9ZYnjfW49u8IoYnauyPKyhnZWJQzDz6W/myxJxGMmMVPDcQNaXeeGCQvbcZm5WMJzQkZ3\nZ9FNhcWLDUqLTYrXaQS4JZfgD5I1JtRLQVzIM1aVJTPNwd3ryyHDKCJmScQthddOVNk7HsfzFSQJ\ngkjCXY0MW25v/GUSMVpdZ+3wVW7YvDplsisPxurs/+W8hqbC/myA2/LRNZl01kJEgv1dl+c6Kl1k\nYqwGQMARUlS6vbGqqSoJy0CVJNqef8NjOAojPK/3nYosEzM1wiDEVAWOE5HMymQNk6gqGI17JNoq\nY7mNGdB9IyqvpE3atsueLVkev01nICWxWI/49ZmQxUbEWEaiE0r8r4+q+JGg2q4iVHjwQcHfvBnx\nximPui2zvGjz2i/aLMy3WCnVSeYy7Kg06UgyRhTxuOuhrs7tlBBoqkq10eXNsw7/7pkkpn75+mZL\nIfNl/6ZUlZqqsGMkw8M7NHb0y7ihwrtzoGcSbN+e5q13ipw5X2JpdXzNVZr8RM1wzjHYazk0I4XD\nHYupmo3nB3SD3iF7Zy7gl40Ef5BvIEugyRLPDnV53lA5rFvcpds8ZdYpByp+zKJhGnQdlwv1Nn+f\n6WefZJPH5yImi1qaXf0x7r49Szqhcnaqxd/8dIFn7iugRAJPkRBX8XQd2+GM4zJjGEgSuDX7mmTO\nYC7Jl+8wuG1Q4oVDSWabBmO2S8VSeFfRuVhr4vsBiiLjhT31OsDrp0O+LpUZVX38CAalkO3xJt8v\nKyzPphiZ6BFfA6Mx4nGTuYUS1VaXc4YORDjuCju2DrJ9f4HbdycZG0leVkgJge2EJAwFTwjuGhZr\npEzDgcPLEku2Rj4eYhkGHfvmVV9CCFx387Uo8AVB8MHrVLnZoda2OW/0ghTHra1b34QQ60hfVVXY\nmrf4H7a2MFa7sicSPkMTAf/v+RT/d6vA3XaXrBRwJjC44OtMrzYfVFWFsfFB+nflSA8nCP2IpfeL\nxJpdHog1GdEcaqHKq80kZysO1da1SfJQCLwr2mMKIQjDiHY3oKtKaFd0MC3VPE5Ptj+VvdQwdHZt\nz6yRzJcgSxJ3H+jjxOmVtetQZJm4ZWKpMl0/pGM7OK7HiXPL/IfvBNx7Rz/JuMaRk2Um5+rML1fY\nPZbHCSRSRu/Z98UFf7y7y0zD4bvvtLmwUNv0Ph3XY7YcMF+LGM3KIMDxAxYihX85HzLiRbwkJTit\nW0iKRFwXyBI8tTWgeVbmwMOjHNiboeGAYcDjjwygqjI/+7lP19/8PXWlXmOnTNxiR9LivrCNKUKO\nxnPsGk/jR+uTbnt3ZinkEqyUe3Yb1yJQN4Pn+5QiwcVAYqLmYVq9xG7Ljng3keWhOyzu33U5EP/i\ngd4Z62eHm7AY8E2vRC7sqeH6gGe8Cq5eoGyZa96+URThehvnlKFrJOMWyL2S7U7X4cT5BS7M6siS\nhOv7BEGILEtMGr0KOLdZ3VCOPJCxODB89TlRkI9LFGKCasWjr3+1gk4IfC+67rmy0ewwc7JK/5bk\nusbVzbJDrdjFcT3ilskuKeLxRn2NnN9ud0kHPk46y7lihZVGh9e0NPPWEAe0Ts8axUsw0/Lp3qQN\nkIgEnXBz/08nlAg3IQab7S4nztlcmFndKzx/jQQ6vVhhyjBQFBnf73yoMfRxQNc1tiZSTCy1yTba\nhDGDmS1pxESO5M4szYU25QtV5mZXcF2fMzNFDEMnV/ZZ+Y8u99w5SCKucfREkcmZKgvLHy3wjqKI\nc5Mr/H9/C3fsyzM0EGd6psmps1Uu3oRXfSadYMtEgd135Dh3ukXqoQlCVcF1A2RTJXFwhMgNadZb\nvxHnfUWWScQtTEOj63h0OvYn7396FSzT4DZL8HtKkTe8iGPH0jx0fwZVEkSqRtf1OXW8Qan0m2Hv\n8nnDcDbBl1NN7tAvWys9ZjXQJEG9G6PlBCR0FV8I2ra7rrpBiIjAj9AMhcVTVe4PqjwS731PSwq4\nX+pi6iGtdJz56qebsNoMhq6xe/swj9w/yrbxNHOLLd58Z5G5pTrLxQrbtox+1pd4C7fwkXH73vxn\nfQm/ETj85vxnfQmfKG4RzZtAU1UMvWdh4DgukRBIgGkavcZ/QUA+ZvK40uEecdmaYBybuJ6jnohR\na32wX21/Jsm2rM59KQdDDjnetpjqJlmqd/GD4Dfi4PZh4fn+p37Y/7hg6Bo7xwvcuc1gS5/KYjXk\nvYsO52aqG5TB10Kt3qLV7jI/W0ZRZGzbve57VBSFjCGx9aqGdpIEGSlAkTcLyi6RLDalpsFcXWE8\ny1oQqqkyx+YiDiYd7k+pvFfPcWGlTcdxcD2PM4tdvv1OjEcnJDRFMNdR0ZUIr+uTMFUyqUvBLaRV\nBbOp8I/RKI8FZWQEJ0Sc075GsVmnkIwzHjPZ53Yxo4gLCZPpZJzpSv26BL2uqdQbDr/41TLf+MNx\nMimLWEyl1Qw5P91B9lwG4yBJMqoiIwnpmg0NLv3r9pEs//NjJulYL4Qey8ncNijzH152mav6fOsB\nFdcP0VSZ0axMwugRQtmYxN8d8lipdTlxrkL3incmgEQQkfPdTX8TeiX2k0td/q8X4d5dBlsKMlPF\nkDfPOCyUWiRiFsFHTLxsHc7yrfsMtvX1GtLlcwaP3SHzly/bmGaOP/mjHfzdP0G92cV23F6jlaUq\nC6bBu7pKEAnadn2tdHa+JVGyZe4e8PjRRZO/Kma5K27T8SVOhEnONlX+z2xlrclbFHr0ddr851yO\nU0seHdvllOszYxloik4I3L8jxv/yhxNkUwaKEOzakmRiNM7fPD9LqtLmvGVglzcqlYUQdJ0PrgDJ\npiwOjEqYmsS/fUzjYkmlXLdIKOCfDmitEkNhGFFr+1woKSRNiAUBo2pPHdlxewS0LAnuktr8YrK5\nRjSvvUwBoVjfRGq5WKdStXnk/uF1/vOT0w3qDZukvP4rjq/IvDgT4849WXbmTJxkl6KrcXZy+abX\nRcf1qKzYtOoeycxlEi2KBOfer1Gr3ZhHehjdeKOsuGlyT95bI5kvwVIEB7Ie3zvrMx1JaIqO7QV0\nncvveXAwz9YHRsiM9p5zFESkpYg/G2mSDGyiKGIEj+2Gw38ReVq2d82S95WOy5FskpHwsppWCMFU\noDDXEUzNd+nYIXNLNq8errBYbGLo2qeyh16L/OtZsPb+FjN1tmVT7Is69AmXeVPnTCrHxUqTSq1F\no9Xl3GQRVVXodN21/WapZvPOQpwntoZMN2TCSGIkGeEG0LWvn5i+uFDlO69KPLhTZ2tBodaNePWs\nzdRyl6OuhBdFdOwqWwYznC7q7BsUuAHUPJV796ewA9YlL/bvzfDmoSInm4L9Ugvjivt2JJkzqonv\nN9mRT/ENp4glIjqSjC4issKnrug40ZVBv7ipHjUz9SY/ymbY5zts6Xh0FJUjZgLbVHj4tvVlxbqu\n8ug+lVOLgnzbZlwC11PwVpX3EnBn2OGclWDmOnNjZCjHlrE0B+/MIMsSx9+vMzXTZG6hvOFdRJG4\n7jwTbLx/34+w7RAhpHWq8eKyS63mXtcSwvcDFuYq8BOY2FfATKjUizYzpyrMz/f6K/RZJnvt9gZF\nesH3yYkIXdPwfJ/pUp0lXee4aRBFgo7T+ljsKGzX43QryRM5mYR6eWx5kcTbdZNmt44iy5jmKkHv\negRhSHSdveJGz2afBEYTSe46UybddFEUCUNIjM/WeTOmIe3OMXRnP5qlEngBtVqv+sh1PZaKFUrV\nOmcnl1EVhU7Xue5apWsauqauJjjdTdccx3U5eW6OqbkShqHh2B7da3z2RqCpKmPjeR776iiNiode\niJPojxGGAlHvvRtJlrAmciQWqzjFnr+2JElYhoEsS3hB8Kn5Iscsg51bB7h7X56hPovphTbHTlc5\nN7XyqcQk1mp8mI+b3KXUkSW4J6jykyMxflb32HlbikakcPz9BjOTTRzHu6HmsbewHmlLY4+2Mdl5\nwGhzKD1Cn2GzS9h0kTmaSDPddqiuxuPVapv5cw123lWgMdvioNmlEcpc6Kg4nsygiNhDm4yV5cNQ\nP6qqYOg6CIHteh9bNdW28QH+7Jt7GRvuCY7GRpLcc2CA//y3x6nWP3si/BZu4WZw8sStZoC/DbhF\nNF8BSYLhTJpBTWXCc7AlmelUgkXbYShhsE116FMCJoMYDclgm79epSoBd0VN3o/3fyDRHDNN9hdU\nvtVXRZd7vpL3pjzebMY4rhqIUGXOTzBVbtxQCY8sSWi6hojE55bo/SwhSbBjLM//+IUkI/meGmj/\nFo27tmn8l5fgxMXlGy7DC4KQ5g0kGi79rsZlNeSV6PeaHD7T4tlH1vvules+K1UXz/eZWqrz3Xfy\nPH2bykQeQmSOzwRELYdn8i1UCQ6mFP4rad6f9wjDiFKtRbPjMFmMYegaZlqQ6I9xomzwxbH1xPaR\njsH2nQWOnq/x3WICGSjbHl2njWkY7DJ1vlIvoa8GMzudLsdjCbx0kvnaxs7NkiQxlkszqMlsjxyc\n6SLf+Y8d7nlilIceGOTEqSrvvL7An0+4a89EkiVmujptJ2SmojJRWP+wTiyENDo+X9gXXyOZLyEd\nk7lnQuXVMwGq3AvsPT/EDyIcX+41ygojZpcbm6pOy67LZMwk3fCp6jpCgpzn09BUmpKEqirs3D7A\ntokYmYzOyWmb187YrJTbFEyVh/pURjWfWc9ixk0wWWrckF+zJEnELJPBtMZEYXWcqDL6qiXLo7tU\nDl2os3U8yUP3D3JxusrM/OWA23bcTUmoyeUm31HTfHGrz6OjHqdrKt8tpmn7MoWxOI8G5TWSGcBx\nIlKhx07JYco06No9dfwlP9MtIwUeujOHbYcosk/MVJAQjA5YSBJMqgpz7fZNWaxIksSlHlSqLLF7\nQGL3QM939pWz6z87s9Lgvx9ROTimoEYRfggdDzqeIBIC14nQVUF0BYG2PNel3XE2DfhaHZt3ji4i\nBNx/9yCGoXJxqs7Lv55hdqHMeF8SjYh3F2R2ZCN+NBPjf/ujCQZyJl4o2LI1w86JBP/thyGnL3z4\nhh+6riFJEr7nEwnB/HyZV3+ssO++PvIDBk4n5MyxKnPTtU+EcJFlsK7R/8tUeqXdm9l1KIpCLGWR\nvsIztlOymdBdhlLgNOW1agZLjrg/aTMVM6g0NyezOrbDybiBrBe4K2phETInWbwWpbi4VGf+R13i\nlkFc7yXdHhiNM12JM1MNmFyofmJlsI7rcf5iHdsJsK5QNUeR4N2jRWqNDoossz2b5JtekcyqtH8X\nHW6TDX6Qz3F2uUIQhDQ22TMarS5vz8WYqekcyPtYquD5eZXlDsxep0oGesrPk1NF5ksxMgmdrhtS\nbXQ3nA/mi03++USOhiOzJSMQUs+fvusJwujyc9M0GUmC2bbDc/ECD3gtMqFPTdF5S08w07aJ6ToH\nwi7Wall4TEQYXYeLcx2Gt6h4srS2j75/rka5+tFVfb4fcK5cZTlmktYsvCii1myzN59HvcK3WVUV\nEjGNVFJBVbqkDIk+06TW6O2Hl6p9VBGhXJXXlSQJXdMAgWnoHDzQx7P/ZmDN0uL2PQlefqVEt+tR\n/pAKuJWazZFFnfErtvcoipivBMwWJYYDQbPhszjv8M5bVebmP1jtWqu36HQcVhbrGIZGp23TbHfX\n1NSKBNo11mJNrD+HuJ53U9U4myGKIqbKbf5aSfN0X5cBPaDqK/yyEmOy6pBMWgwOZhiZSCIrEguT\nLYrFJsXS5g1wP0sYukbaCUk3VysWVAXVVJAFTCw0mZxs4JZt5JrNk48O4ft9nD3XYn6xTqnS7M35\nD2igLEsSYyN5+gcSbN0Wp9X0mZnuMDNb3lRdHkWCdsf+WPqiJJMxduzLohsKUSiQVi2bFEVC02Q8\nT0aICFlT0DQVRZHRVI0dQ2l25SJyluBcVWG+ETC9fH3hwc1CkWV2bh3g3/3RTgqrfXTu2J3h4J4c\n/+37glPnP7lmS7qm0T/cj5pLoiQt5GaXVzsGA8EsaSngq+4cF85UOTWV5iJxdAKeGA0o51Kcr0pc\nXKrjfg5FRZ8FJElChtX+I+sRU2UsIr7qX7aRuj1o8/1EP0c8H8f1qDdanD1awvcjfC/iLeKcUVJs\n2xMDqdcDYaxZRQq44STA8ECOkaEMe2/L4Xohp89WmZ2vUL3J3hyGrjEylFwjmS9B1xUee2CMyZny\nNf7nLdzC5wN79t1SNAMceeva1Zz/GnCLaL4C/akkdxPxYKW0VqR7u6rxy8E8X9eWGJB6iorHFDgl\nZXlb5PhSUFynDokTIm+qQl2PobTJ4+kuuix6/rSqTE4KeDbV5GSzwFfFMjOGxXOFDOdXrp/16c+n\nGepPMzoYo+uELJe6TM2VPpeK6M8Klmmye1RfI5kvoS+tcOc2g6lFk9Yn0PQkCELqoUwl1MgrVyUI\nIsF7p+uYhsR9e5PETJmZJZcXXi0zs9AbEz0yoUyxHieXNEkbIQ8nmjyStblUTZ7VQu7JuszULFqd\nHlGoqgoFw6QQBej1DrUg4nk/R6ppc1eqN24ON3V+Eeb58gPjHD1fY+6qQLo/ZnKP3V4jmS9hb7fN\nsewAS7K8wS9tOJPkYaXnjykBeNB2Gzz3UsjR4zW2jKWIQijZMJLsNRh7u6jwk0WVyWKN772d5XcP\nGuzolwgiODYX8cpJl5btkU9u3nU9n5BpdX1OLOjs7L/sne0HIW4gOF8McD0PRVE2NM1pdm3e7y+w\nUogzHgtRJDjSUajaEYuNNrt39PP1rw+RzfYUdA88kObNN+ucOBTw+7ESE9qqCsuCC77FP0kZzi5e\nnzBIJGLkB3KoMZ1cOsQwepYi8hXkSTom47o90ioeV9G1G1vKbcfl+EyV5UaclKXjhxGL1SZBGLJL\nlkkYPoieGtNxItqdgCAMyUoBsryRcdQ1hYSl4LgefhDS7vRsXKJQYJkys137Q/nWK7IM0vqu113b\nY7KssbN/fRJhqizoOOvXON8POD1dpliLM5K0mEYiJiJUBIoQeG2fY0oCc2eMIIhYnu1y+PUVllc2\nJ+2EEEzNFilX2hw7uYIiy1TrHcq1HlEwW27xlp5hJBXx7SMa+/dlGciZ2AHUHQnPDxkftNgxlmR6\n3rhhOwfT0JkYzjKYVYnpEvPVkMVym1K1xblzi1QqbeLxXgO5UrHxifUG6Do+R6omB7Os+apKUk8d\nfqyq4bqbH5BkWUI1lJ5P+CpCPyKjhL1/uyqzllJCDPX6noMz5QbVmMWZeA5VhoYTUG438IOAruOw\nZ2s/37pbYuulRtY74dSKxj+S49xs6SM/g+shiiLmFqv8ww8u8KWnxhgciNFoeLz21hLnJys4rkc6\nEWNf1F0jmS9hOHIZFz6z5rXHhaFr9Fvw59uaZK2eyvWujOCH0wbLCZNi/frBbBhGVBttqhtzfmvw\ng4Azs2VK9Ti5lIkZDzh1sc3goLku0p6abtNs2VTbHY5HEUtmHMNUcIKQlXoHx/XoTydIistrqATs\nrZT43o8n+eLTEwyNp/D8kGOnq7zyxgKV2s2Vj0dRRL3d5UoasmMHLFajtb1cUxWScY1DZ222jMRZ\nmgzoRBLJhIrtBoSrdjQXFYvKFR7H2VSM0UKCkSQEEVQik0ceKqyRzNAb5w8+kOPU6eaHJprbXYd3\nZ+MkDY37xgQxHWZq8OKpgAvLXYo/9FAUmWbTplJt37Ci2PN9SuXNidmK6zFtmPT569fNrixTUdQ1\nhfcniWbH5vB8yGLbIq7HcPyQpUYHSZLYe8cID35pCG01obrn7hzv/nIF93BAYxP//s8SsixjuleO\ndWmt6sUIIryKzVhW5Q///XYiJ8R1PB5+KM8/P7/I2+/6N3SeHB7Kcf9DA9x1X3rtu5v1DC/+UObU\nmaVPtOmhritYqw0YMwUd71iZyA+RNQV5tRG0rqsEpTY78iqD8QFUBH96u0NfrDennhr3eWNR48Uo\nzfTy9RNjN4NE3OKe/fk1kvkSxoZibB9PMTW3seLg44AsSQyMDGAc2IaU7nUgVmSZTqXOi2ci/jiY\nRpUEu0Wb80GKL+3w2V+4LKJYasv8lZzh5HT5ut7Ct9CDEIKuHzIXGoyrl9+nJMGUbzESrJ9TBoIH\ngyYL8QSzrkcUCWZnV6jV2gznEswMFvjz3y1grFrePfZQmu//yMA+1bwhkjmfTXH/3aN87dltqGov\n7n/qkVH+9ntnefvIzE2NOVmWSaeMTf+WiGsYt5pJ3sLnHKdueTT/VuAW0bwKWZIomAb3XkEyA5QM\nnQeVZs/nc/VMKUlwl9rinGJRCnX6xeVD+6JkYnsffPgzVIWsGqz9tiUJNATIvaC76yvspsO4mmDO\n0K9JGuezKR44OMIfPDO+pqhaWOnyN/+scuLswm9U9+3fZCiKzEh+8+kwnFMxdJUbFCl/aMzVOvxQ\nzfO1eIWC4hMJuBDEeL2b4PxKkVKtw+vHEsiShO16zC/X140HPwhYLDVodDy+sVPjjuTGAGbYEoz3\nJYmNJmm5YLqCb3YqTEQujpAp2zr/Es/w07Cfn5YDhICJiRxfuWeUdsfdVHFhKAqpTTo0K0A8CpGV\n9USzIssUTI177eq65Ewi8Dlo13mtpPD4QyPcfaDA0SMrPPdenU43oNqMmClWCYKQE5Nlaq0k8ZgB\nAmrNLsvVFpqqcmIu4L6JjWToifmAVsfm2JzGcMbgrnEJTZFoOoIfvx/RsSP2bcljKoKWB4vVDrVV\nv1hd0+hLS/zpPpeBGIBEzQn5m1MaVWFx330ZslkNIXpVCZIk0denc5vlsU1315VG79Bsthvx6xJL\nMctkcNsg6XtGQZFYOTpHaOqono+36tEpSRLnlwNyhV6TyOnZFtXGjWdEPT9gvrSReZpZbnAkr7Hd\n7ZE/QdhrghUJOC8sPH/jBKg1bC7OdxkdsAiDkHBVre35ETPL3RsmQA1dZ2wkSyppgAStlsfcQhXH\n9ZgvNXnuiM4379UZW1X/zdfguaM+88WN5E4QhqxUe0TwC+k83xAlciLAB44Li1ORSeOdCqeO1Wh3\nHIrF+nXXSSEEzXaHZnvj/Xuez6mFOjU7TiqV4M64xVxz1evYj9ZUXMMDJsrVcslrQFNV9mzN8yeP\nxhjJ9f6P7Ql+cEjljdOCSr3N0vKnU3Lmeh7TjYhXViwe63dJWQqukPnFkkFDaKiqzGaV0UEQ4rY9\nAidAXd2XzJTOecfgC15rg7rtnG3QcD44Mdrq2rS6G9e3eMxk/7B8mWRexe0DMFFQmF259h56s6jU\nWrz13jTzi000TSWKIpaLDWr13jwyFZk+sfl8H8C/7rgYysb44oiDpYRc+XieHrY5XU9QanRuqlrg\nEsIwolhrUay1sEyD536k8HtfGWNgtcHizGyXf3llkW7XY++uMRIJHdcNqTU6zFcaawm6thdw0TTY\nxeW5Mhi63DU3y3efD3EUGREJao0Oy+X6J0KuzK40+P6bGt94OM5gtucbfXrO5aUjNs8+NcbFpM4P\nD3s8KzWRJIkAOKfEOYZFq9ubV6m4xd1bkvzRXp/Eav7jL0/AUL+JG4Trnnkioa6qvT9cc1whBJPz\nFZqfi74JAAAgAElEQVSdBG9MxZBkCdf1mSu1cVyX0ifgEdrsOhwvZMlYAdvsLgrQUhR+lcyy1Ol+\nLGPpRuB6HjPF9fNxYusg++8vrJHMAIoqs+++Aivz7d84otnzfeqpBJEEsuglPaIgQtEVyimDUIYv\nfGEATZNxugFCCHRd5onH+5if73D24vWJZkWRyedi3Hn3ZZIZIJXRuOveLMsrvT4SnxTabYel6TZD\nW+IYlsrwqEnx0BzZg8P4HmgSKIs1+uwWf/qwwqEpQRqfkZTEpRBIkuDBYZ93lkzmy8oNVXN9FJiG\nxmDB2vRvIwMxFOUaZTk3iVjMQhvMrpHM0LOmCvtyVBYyzFYttko2UyJG1zI5OOBxpVX7UCLivuGI\nubJF7QPU7bfQw1ytwwt6lt9PVhlSemvIbGDxUjfFF9yNCeW0CDCv2GMjIWg02wz0J7nzkQKSrsBq\n/xlJU7nr0T5OzNzYuXWoP80zT46vkcwAsZjGM0+Os7DU5ML08ke+T88PmJlrEgTRuu8HOD9Zo1rv\nkM9mPvL338ItfNa4pWju4egtRfNvBxRFIRmGG9SZXV3hDrmFfJUCy48ickpAEYN+eptdDZVXyLLU\n+uADcccLKPoaGTVEkWUCCaroOCGUQg2L3kltq+xySFVhkyBZkiSGB9L87hfG1pXtjgzEePqhYVbK\nTRavodS7hfUIgpCLSz4P37Yxgzy57GO7l4moVCLGSF8SRVEIwoCFYuum1M6trsPRIpSzBVKqwBcy\ndTdkrtpT6xUrDYqV60jSrriHma6FyK0XDOqqQinQeXKXzP0TEj87Lsifb5ALQpDBlCIKkccTzRrf\nK+n8+//jQbJpgzAMqdUdXnjpInNLG4mtrh9QUTXSV5HNniTRkpU10vESVFUhFwWblr31hR5e2+bv\nf3CKbDqGoSvUWwELy7V1NiSe7zO1uPFawtBjquhx6KLKvdtkZEkiEoLD0xEXV3pehRfmKvzATfPL\nswYxvUc0h6HgK1s97uzz0WSouxIvTsd4e06iXO8wmo/zO9s9+iyBtFpMl9IFX93u8h0vxsKyz5GT\nRaIIhod07r4jRrsRsMNc9d+76lZ3GC6vqiqwOfGU68+S3D+EbPXUCm42wQtHuvzOAQ3V92k0PFa6\nMoemBV/+Spa5+Q5vHFqm3rj5IKXZ7nA6keO9yGCP6Pl4hsC7pFnw2NRrsdZs89rhEluHLMaHLCRJ\nwvMjXvz1Miul5g2Vy+q6xp7dAzz75X5GRnrzb2nJ48c/1jh5ZgXX8zgxVaFlp0nHeutcoxsws9zA\nvY7/YxD2yN5/UPowJIGDTMr3ecZe4blYgRPzH09ncc/3mVmpk+x4nJnOsGtrbMNnJuc6Nxxk92UT\nfPEOc41kBrB0id+712C6nMTSFTJxEyRodlyWKjeudvwomF6p81KQ4kQry1BGw5MUtu0s8GdfzPPD\nn5zn6Mm5DWXcQgiq5Sbz760wdu8giq5gpHXqhsnPVwzuM2wUevPjjGtxsqPRtT+6ujWmq0zkN/Ef\nArb//+y915ed53Xm+Xu/fHKoHJAzEZjAIFGiEiVRMiUnddvume6Z8eo1a82snrv5I+ayZ9asnjXu\nltUeu+12kCzLLUuyrUAxAiQBkgARCpXzyfl8+f3m4hQKKFaBrEIgCQnPBRdx6sQv7He/z372s/sV\nXtW0e9rh0+k6XJ3a2hql64csWgaH2HyPLgiDILj12hE3NIaszbEibQj64irHDowSRSHLxdaW1hu3\nA9txuXBpmXrDJZMyCWVEo+nQaNo8/sg433x+P7msSRBI3r1U4Yf/OM3E9DJSRti2w2Q6wVUtzuGg\nux5DFjWLUq3DbPne5yNd2+Wda2WqrYBsQkNRVYYHEnz52XEG8hZ9OZPzusJ/frOAo8Vpm5KaF7Bc\nra/beoz3J/nmkWCdZAboi0V0ag6xnLVB+Vur+7heeFskrYwiitUWxTuwENnR50nJVKWOnUmSjafQ\nI0kHwUqnS+MedGztBIaukc5v7mpIpHV0Q1tf0z8pCENJLfCZOJDn0HQNEUg8O6CRNlkcS6EbKgOD\nFn7b3xD7B/oNNO3DiU9N08j1Gaja5rjWN2iQTBgU7k2jBtCLaQtTDYb3JBnZE+fIqQzapSZTP7qK\nLwVmFPJQv+RLJyWGJmg7kqfGJbqm4AfhepanCBhNSt7VtHtGNHdsl9nFNqeObCbephfaBPdofTRM\nAyWX3PS4GwSQSfPd4hApPGqRzpNJuWVhbXcmImVp1H4FLHfjlsV4X7znJy4lq3WbWqtzR17874fj\nelwotmn4eTI6SARNP0IXEVm5OR8sKQZtf/N1p6kqqaxGVapcb1IJI4ilJdqaYv+DYrqqKMRiOunU\n5pg1NBjHNO9McRyGIaulJj/++Sxf/cJedK1XNJ2abXDm/DLNdvcB0fwA9zUeKJp/PfCAaF5DKCUd\nVSVg40ExfUkhMhnm5jYdgaYIVqTBkppkQsYJoojVSGe+1t7Whna1afPTWoo98YCMEpEhQI8k/7WW\nxZSSN8nxWaqsSp0w3JpM0VSVfMYkldi8oO0bT5JJxR8QzduE7bhMrXhcWQo4OnbjCpgtBlycd9eH\n+owOZDl9OMVzJy36U4JiM+Kf3jV561qT1fKHk8G3Qst2uGw7aKpKFEW3pfRyPY/FDlxsW5xM9b6v\nEIKCbzDrm3xrrJdNVZsRn9N8pCrwpMAQEZaQ7BMuSdfl//yjNxgb6SXPiyst5he3bjssdW3O5tIM\n+R6JNS9PCbwVT1NZG6J5M8JQ0lRUJPB+DV9D0egGIYvzNeaUHlG8UxJweqnC96Xk1UmDobRCsSUp\n1j3mVnr3QCgl86s1FgsCRVGIWyYvHLN4YujG/ZU1I373gMNSO0G10SVmGRzJueQViYkkAmxVQUmr\n6KpgUc2TfWYQoSqUVhv88GdLHN2tsORpHNkiz1zydeQWKnBY8yI2NNTMjWKHsr+Pi9Nw7Z/ajJgB\nja6kbguy/TH+5u9mKBQ7zCyUNll+3C6mSg1+kE/xmp4iL3yKGJSccEu/beid0yvTBb79tyEj/TFS\nSZ3Fgs1qqcXKNtVWo0MZvvzcAOPj1o3HRk2+/OUB6g2X6bkijutxda60rv682VrjVsiYOo86bUYC\nh46iokfRunfsWOhyVdfWrzFd0+jPxskmTEIpWa52d+xz2enYvHO1zqNHM+wavqGuujjZZG55e+sC\nQDZpsHdAxdA1FEVBRhLfD0lZgpGszjO7TJ4aD1EEXCkZ/PBKnsvz1Tsim4UQpOMxhpIGihBUbJ/q\nmrdrFEWgaTz7hYMc2pclEdfXvcK/9cJhqnWbK5ObPTBrtSbKFUGr1CXRFyNwQzpVm1Vb4aw1wIju\nUQ00ik7EbLl+R2pKxw8pNCMY3UzKLNXltq6Xe4WO7XA5neeoYjIib8TRSS3OklQ/8LrwAknNU0np\nN86trqqouoZmavzvv9VHx4n4xdtxzlyqs3iXlO5d2+Xq5PKaEjBCyogTR3fxrW8eJBHvBTZNU3js\n1ADFUpfVQoN6q00EzJTr/CiX5qyVIhcFlBWdkhuwVP/ofHY7tsuVmQKqqpJOxugfSDKw1lavCMGJ\noznenqjz7lSJwA/Ix2Lsy2bwwpCy6xI3FAbiG2Pq8bTDiy+VeO5rY+uP+b7kxV+WWS3c/tr/USMI\nQ+arDRZvc529VwjCkE4rIJ3bSNw43YDAD++IZI7HLIYH0+i6SqvtUK607opNSKHdJEqlKD4+Srrt\n4lo6bsokMhVivqQ43yYRVzasz41GsK38LgxDmg0fKSMUZWNcazUCbOfezmKJoojZ+SLBP0myuRiJ\njEGj4lCrdtBkxLeeiXNiVIG1/rS4KSh2BcNxsG8i6aIIyra4aznKVuh2Hd6+UuWRYzl23zQX4L3J\nBnNLzXtWZPQ9H9m2UQcyGx6PAL/eZqnSxPV8VFVlPL81KVjsCrpe79gIIUgmYgwOpFAUhXq9S63e\n/sTcox+EbDLOw2NxvjbuMBbv0vQVXimYvLZiMHOXbVNsx+PqSnV9fQpDyWguzVkjw6f9+nrHZEuo\nvKamKG9h0RSGIY2GD9kbwpwognY7ILie93wAZCRx3ADbDojFNlIptZp7V4oqS6sVfvZyxKWrZUaH\nkzSaLqulNjMLxXvreb7N7rtfBXzsxcuP+/M/Rhw9/kDRDPDOA0XzrweklNQ8n8uJJCc7NxTJo47D\nS0Efu9Q2SXrq45iusCxN0AQvpGv8vJlmuu5RrG2/OuO6HlcqLv9R9PFkokNSjbjSNRkIXP6XaIlv\ni2EuRwmmpYntbK2QlpGk6wRbJqLtbnDP1AO/qphaLPMXL8K+IYO9QzoL5YDpVY+phTJRFKHrGnuG\nE/zLT8XWhw0NZwW//+kYpWZIud6+42N+pwnldKHB98jwZsJif8Kn6OlUMfnNRxTia/s3U4eWUOjX\nwXMFxpr2JARcoTAzX2BiZgUi8Hzvluug6/lMtDr8dbaffZ5LIpJM6SYFP2S1ubWlQcWTXNETPHST\nDYOL4KyWpLTWOiil5HZSqFBKZpYqLBRUNFUlCMMtz4eMImQY0p8yONG3+e8xLWJ3KuSqoaMJgQhC\nLHVtI0DPh70mVUJVQw71I9bUVvHxPI6uMnF5Br9rcSKhMXCT7/ZqaHDFMek6WysPoygikhGRL9fa\n+UCoCuqhAZxGirdemWVlsUgYhujTGvIeDP4Mw5CFWpt2LsVqLEGn7VBrtDENg2w2iVAEjVqbruOs\nXxee53N1eoWZBR1FEfj+9jbS15GIW+zebW16fNcui3hsI+mwE8LQCyVdVUUF0nLjeW4LFblmeZSI\nxzg4mmV3TjCchtEMvLNkcH4uxtwOiDsZRUzMFvjjv5Uc2J1ibDDG1EKbueU20zvxCBYKEo3+fBxN\nUwhCSavl4Tg+RBGPjkiuN7CcGpZoikKjm2LuNjdzQgj2D2Y5HXd51KiiI7mWiPNSIsdEsUEURfTn\nU5x6aJBEXEfKcP3cjw4lSCVM1C382AEqlQa1WhNjTkdG0boqfkFVeU9TCUN5V9TY7a7DucUUj+1S\n6b/BM7DUgGulCNu5Nx7W24GMIqaqTb6bz7Mn8hnEZ0EYLEmV2Q/pVFmqdfnFSpI/2N9GV3o+sLqm\n8lbDZO+YRdxSiVvwO89mKNUDitXWlp0Ht4vr5JBpGIwNJ9dJ5pvx0JE8r72RpL7WyRWEIdPlGgta\nb0BYEHQ+NqIkDENqjTZn31lhudjl1JEcoYx451KVRr3DQMIiJxVOVZpkHY+2ofFOLoWPghfCTS4O\nPNQfsjLf5D/+scf+/QkUFa5cabG80qR+H7a93+46e69QKja5er7K458fWs9noyji2rs1qneg+B4d\nznH0aJ7HT2dIJFQKqx6vvlpl4lrxjn17owgKrRZlRenZ5jguXquGWdbJphO8+EuL5740sP57pIx4\n7fUqhS0sn96PIAipVm2mJjocOnpDNes6IW+drVGp3nsrkSAImZ8v0qglyCRN/CCk0uiSSVq83yHw\n6LDg55c1dic33uuXqxqrTXlP/b9lFHFtpsAffzfi4J40Y0NxphdazC62mJ4v3rPP7XZtguUqynAO\nEbshEIiaXYJqa906LAhDFuuSqZrKgdyN49N0Ba8tKNTbNkII9owPcOxEjqMn0ui6wtx0m7fP1rBr\nXbwwpOa4d31A592AIgS7+xP8q/1tknovOcgakq+N21S9BKv17c+n2AluLl6s1Fu8ms8wbQ5zSNq0\nUZlULObq7S3z5EKxxZtn63zhuf4N9+e5N+qUSh8eb6IISpUWr5xd4UvPjq9Z50EUCV45u0Kz5aCq\nyh0VuaMoYmm1wmqpxnsTPZX4R+Gj/3EW5j9KCEUwu7DzId0PcHcgo627EB/gVwv3NdE8NjzAk4+c\nQBEwMTPPhStTm57z1KPHGR8eJAhDXjr7NtX6rRO85UaLV/NZlnWdg66LqwguWnFW2j7fDod5XG8z\nakjKvsGMtPhKpsGAHrDfKvNHUR/VVm9XEjdNVCHo+v4HThP2peSI18DwfBxF4Vmlw27FRVXgoHT4\nh6Cf6cqtyYMwlFTrNpenGhw/dKNaLmXES28WWC7ePyqbTwKCIOTqbIG5FQNN0wjDcENyFLdMnjho\nbJhoD6Brgsf3m1yeNWkFH29lKgxDri1XWTANzmgahiZ44VGTsZvEFId3Cd6oJfiy4/WkF2s/56Ie\np42g03W2NQgDoG27zAmFSszEDyWt+gcTHQv1Jj/tyzJrWhwKbTqKyttqgtmWfdcS6CDYmmB+P8Io\nwrvF09xQIBCEvuTVZZ3f2RtusCN5bdXAy2Xx/ZBqxScWV1FVgWPGaNYlhWKTP8n181jMZkTzWQx0\n3rFjTJZbH6iUaDXaJOfrxA7eqPRGUYS73KJZb60nzOEOFTqmYRA3e2Rfx7m12iKVjLN7zwAHT+VJ\nZgzqZYe5Kw1UQ2HPqX4UVbA61WBlpsbCQnG91Ry4bdI7iiKCINowZAsgCKI7KvbXbIfX+rK0dZ2E\n77PHt7EiSVE1WBEaAhgbzLN/0OL5wxGjqYiZGpydU/j8QQikSalhrXczbAee53NpcpmZRbNnrRME\nO1JTqYqCohu8vQinj6m9oXqagqGr/NMbLjkz5P3zYQ73S9LxrYfGbAfZZIynEg5fMarr13i/0SCr\nBPxNfxaRSRBLGqiWRjxt4tsBntdT2kkZEYQSISAZj2FoKo4fYN9UiJAy2nQMgjC8q+SjlJJrS3X+\n02s5Tu8WjKQFc9WI84uSqaXqtuPZvYLn+VxdrTBvXb8u7G1dF13b4Z1VnZaf5KlBn5gmmLQtZMzi\nN07fIJ9URfDEsTjvzVhU7oBoFkAsZmFqKn4o6TouUkoiIrwt2o+hp+rdqsjgBwEftCdWFIV4zMLQ\nFBwv2NF9tlOslmqUq02uTBaImwa7kypfjbV4z83w9cUyBOCEklTHob/r8qPUKG8XVJ4c3fibbU8y\nOV3mvasFBL027vtBbXg/oNnucO1SiXbD48DxHEKB2SsNCkstfE+SSSexbXdH64xlGuzfl+XrLwyu\nry+ZrM7AoMFf/deQK9fuDskQSrlhTXY9n0K5zhtvaZTKLo88nIUo4vw7dWbnGtQa2yOJF5aqvPhT\njfnZLvsOJOi0Qy6+22BurvqBtlF3C5qqcmhXH4/t1jg2LHB8eGXaYmLF5ZXJkOOjAnPN2mMoLRjJ\nKfz7NwweHYCcFXG1ovBeSTDzIQPN7wY83+fy5BKzi+XbWntvB6GUlJYKDAD6aB8iaSHrHfzVKsWV\njQT39EqdP1dynBxSOJSXlG3B2SWFa8stgiAknUxw7GSeZz7fhxCCZsNn9XKbk02bTLFDJ4KJgSSL\npkmx9dFY7WwXpmmwPxWuk8zXoQh4ot/nYsFi8R4QzTcjiiLmK3VWdY1Lho6UAY5TuaVitd5s8+47\nFeo1j+On0ihC8N7FJvNzLar17R3fQqnOi6/Os7jc5vFHhhAILlwqY1ka33z+MK+/ucLVqZU7vg7D\nUBKGHjHLJGuahFFE92Msnj/AA9wNXH7vgXXGrwPuW6JZCHj60ZP85MXX6NgO33jus8wvFWjc5I88\nPjxIOpnguz/6Of35LJ96/BQ//OnLt3xPKSXT5SorlslFQyeMIpq1Br4fUFBVVrIpTuYUHkt0+V2r\niqn0FjBLiXgs4bCSSZNH4WCzixFKZlJxVhJxFmqNW5JLhog4EnVAgoigHikoCNwoYrXZ+VB10txS\nme/+RGepMMixAxkcN+SVc0UuTpTpbDE06QE+HI7r3cITe7Plw3UoNzoIPxG4/htUVeHicpzPH4I1\n21+ODQtmVk3+wslxOmyRRHLViHFOjzNV3d60ZQDT0Dm0d4iThzPsHkkwu9Th4rUG1+YKt7xuw1By\nrVhlKWZx3jDxZUTLbtwTj1nLNFCVnl/gVpvTYsPhTCHFwUzAzQ0BJVthqS3wfB81DJhakfypF+OJ\nIR9FwLmixqsVDfnwAEEoCR0P11MRokeg+UFI13Z5z3aZj1nEdJOuH9K2ax/a7larNoldXiXoelhj\nvXZMe75Oa75KfZvJ780QQrCnL8O4BsdDG0coXEhlWeg46wry61BVlfFd/Tzzwm6sNS/kwfEk+47l\nOfvTJXLDcVRdIT+aIJm1sLsexdLWhTBD19A1jVDKD02ya40uly93eOSR1IbHJyY61Ju3LtyoioJp\n9hTPjuttOLa6prFvzyD7D+cZ25eiXujwk0tVMqU6k4pBpMCTu5LE4gb/61MBuq5g6fDQIBwbCPnT\nd1Se3gOXl+NMLe08od+JekcIgWUaPUsmVeWxU0N4UvL//qTJM0dN4qbChXmPn56z+e9PbL5PBCDE\n7VOpQ0mLx/XihkIKwGG1Qz4+wNDnxrErDufeLfC1r+xHMxSiBriOx8R0nUbL5th4H6eyPqOxkKlW\njMvNJJMrHzxk8W6ja7tcnC4yV7CImRodO6Bt2xuKIR83bkfVtVptUW05TJRMYqbO6YfifOtzGdT3\ndTEpirijJUjTVPZms4zbHiNtj7qhMZPPM99q0nU9VosdiqUugwM3PMhlFHH2fIFCaWcGo/GYyaHx\nPI/sNRjOKlxdCbiy5DG5UL5nnVhBGOK4HofzMf7H2AoLMsa+js2Q9PAVhYqm4XgSPYrYV2jyj0qa\nUkdwclDiS3hzWeGdlYBa8+4MYHyAHhQhsMzeENhiqU612mJuptKzktI1BoeSnP7MKIoqmLnSoLja\nZmGptK1z0JdP8MhjmU1FzFxeZ3jEYnb+3g0JBZhfKlMoN7lytUwENHdYUA/DkMnpFZZWLN5+28T3\nJa129yPrVtw9nOW3HtY4NXbj+B0ZVPmzNywuLDh8+2WLzx3WyMZhrhLx+nTAtaU6V5ZUTE2hZft0\nHXf9XK2v2RE4nntPYvO9UM5+2OctzSwSL1bQDQPPcel27U0Epx8EXJ4vM1+ySMU0HF/S7DjrqtzB\nwRTHTqTWvYHf/lmJU9MV9jkeNdvHdjyG611eOTBA6wMGSn9ceH/+AL17WxUC7SO0YvD8YNuq38WV\nCqVKk4nJKgJBq729AvB1RFHE9Fxv/SuVbZ54dIjPf2ackaE4QgiOHsrzn/5Ucunawh2JJlRFYTyd\nob8dMLhiY1sqKyM5Prrs6gEe4O7jyEMPrDMALp65/zridoL7lmjuz+dotju018jUmYVldo8Nc+HK\n5Ppzdo0NMTm7CEC5WsfQdSzzwxNL23E3LeJhGNJxPA5aghPxzQRuN1LZFQk+M1dEX0ue9tXaXBzM\n4KWSrDY3k0SO43FBpnhcNNYHI4WhxAPOR3G6t7DMuBlBEHJ5cpnlQp3+XAI/kBTLrQfVznuAru3x\n5rTHEwf1DZv8IIx4a8rDcT55LW1hKJkttPj/zqR57qjCUAqqHSi5EVekYNbKoAmo+wGFYgXv/f2Q\nt4AQgkN7h/jD397H2FDPj/axY1meOJHnO38bcWly+QM3gl3b4V7VQQxdZ082zXAYkg1CFpMJavTU\nDjeTkbbjcqkY43uaxTMjPildstDW+MmczkyhSSgl7SDiuF/HWVX5p0qCCBjxm6QVQbPWhuE8UXST\n5Umzg2e76wq/RqfLTvoKpJQsLRRIVBokp3vEa6vWomvbt5WoDqWTPKV4fNpprJNQJ2nxg3g/bW/j\nZiWZsNh7LLtOMgOomkq6P87gWILaapf+XT0V5eiRDHOXEpuIZkVRGM9k6AMGOx5N06SUSjHfaN5S\niVYsN3jxlxa+Lzl8OIEQcO1ah1derVK4RVdGfz7FrqEMh3fHkDJiYsFhYaVOdU0ptn/PIL/32wfY\nt6dn96Gd7OOhRwb5zp9P0C41+dqQj1AEu8c1RuMSRUhKnoqmCPbnYTgZUbfXBr5YJooisB3vrvvi\nJWIme7NJduMRFyFzSozSSos/+L0TzC40eXm6gu+HjAz30dcXUuz4DCQ2fofJqkKre/uxRxFgis2/\nS1cFlgZmXCOWSnP2rQIyinjisWEIIt5+t8CPfjpNSkj+p70tBszePfBIBqY7Ov8lynJlsXzb3+t2\nEEpJvdXlNmoyHwlUVe210wbhjuxlPN+nXPfRVJXFUgIp4frevdUNqbdDzlxs0+rcPvmwJ5PhmUKT\n0daNwHyg1uFnu/u4GtSYmS/xX/7mKl/5wm727ErT7vi89sYKFy8Xd6RGVlWFI7vz/NsvxelLKvhB\nxFBWYe+Axg9lH9fm7l2reypu8YTZJilCAgTmWouwjsQkwlUUIilJBZJitcMPypLX0xYyilitt++p\n6vrXEZl0gt1jefbvS6BpClPTbZZXGxTLDVKJGMdODPHUl4axLB1DV3n8qSFe/dkyqYTF/GLpQ4cw\na5qKaW5NclmWitiKHbvLcF2P4h2Q2RG9fMl1PVStZwumCAXf9+9pp4aqqvSldI6PbDxGmgrPHlSY\nLAjOXq0wU4gTM1UaHY9qo9vz2t7i/QbzacaG0hzZZRJKmFhwmF+pU7sPbWfej1BKWq0ObPnLbyCK\nItpdm/YW9XNFERhr12qrGeCVXPau7Sl6l6lAjSKOlFqsDCVuSyFs6Bog7rrlmut5TLfSdANBXOsN\nzjZNHV1TuFqIMzwWR4/HmJkv7KgDRBECbW2w4L0qrriej1u5s+NhGhqffnKUzzw9uuHxocE4B/dn\nmZ6/M5uekVSaY7MthhdvFHRHF5ucee7Abb/nAzzAx40rDxTNvxa4b4nmeMyiY99IMjtdm4G+3Obn\n3MRmdW2bRDy2JdF83V/pgyrsrudzoZPi6WR7gwIyiuBq0+Thcm2dZIae0uxoucnk/iEKor2JePOD\ngIVuyD/E+/msqJMloIHGy2RZsLdWYW4FKSW1Rnvb7XgPcHvwfJ+51S7ff0PliydMcgmFalvyz++6\nLBQ7H6l6byeoNjqcmQhYqCSwTA3fl/ioDA8kyGUMSjUXWW4ThtvftsRjFicOZdZJ5uvYNRzj2P4M\nM4uVj2VTriiC/bkMX603cDSVqfF+DvYncIUgV0szMVvYEBPmCnVq7TjvlWJoqkLb8Vmp1W94yXqc\nntMAACAASURBVNY7/EN/nq9rVb7gFwgRXCXJiiOwJ5cwFAX60j22rtEhuLpArXRni2cURXRtd8fD\n6N4PIQT9cZPT9uoGpaNBxKf8FovJFNM3Jb+6rpF43wRtIQSKIoinDdr2jURfM3qEmaKIDTFzPJPh\ndN3mYLm1/pmVhMlL4zmuVbdWdIehZHK6QLXWoe/1BFEEtVqXamPrITjpZJzTx/r5/ef6sYzexqzr\nhPzZP2q8/m6AlJI9u1Ps25uECCIZ4cuQdFbn6JEsE12bp9J1Xm5nyMV69hxCgZQm6fgqpgZ9sYjL\nJUHMsnjiaIJMQmW1HlCodlhYreyI9BeAUJT1366s/b+h6xzNJfiWLJCNerEjjGq8shTw2msZPv+5\nvRw50FvToijijQsF/v4KCBQO9/fea6qq8P1LgqXy7cf+huMzk4hzStvIzpakgaPp6JaGUASjjw9w\nca7JuT8r4bsBq0sN6vU2v3VAXSeZr2N/wmdvUjJrmjjuvVFeKYpCFMn7YpaKqirsGskzkI2RTamU\n6wGlWpeVUn1HfohBGLJQaPFXL+p87uEEF67ZFEouSSXE7UYMZeMsloMdF0RMw6A/kBtIZoCUF3Co\nbrMcs6i3u7x7aZFiuUUqESOUIcurDZrtDyeKlJuu/0wyzlMHDfIJwbkpn3euufRFPm6kkNMUUokE\nrU7nlq9ff0wIItiRuthUFbKid68NC5eLyTRP1RsogCYiBL2BtjMJi7bnYDsuza1YoQe4Y8QskxNH\nh/gXvztOItHbinie5L/9wwqvvxGS70tx/HQfpqmRjOtk072uj2efG6NVcknHhzn33tIHKoRrtS5T\nkx3Gd22cAeD7kuUl5676md8rKELQP5gnlUsSy8SInAANiW97LK3WaNwjolZVBEnzRkHrZqQtMDS1\nN4C6+OEkeiYV5/TxPn7vC1nMtTW7Y8vemn0h+MSpcz8ONBo2y/MOR07oeI4kEYYIIAwjQhmtxznL\nC9DFzhTCibjFntE8g3kDgaBYdZlbrtLu3p0cXcqIxWqXv5pJ8LVxm90ZFS1m8UrRIMhk+XffOMrE\nVJ2//IHg6tTmwcFboT+VZMCyyLg+tqbSIGKp2fpE7rNMQyOX3TxnBKA/H0dVbl/RrWkqaSkYuk4y\nryXWhvvAsukB7m8ceTAMEID3zt7/xdYPwn1LNN92Kf8Wr3viyBiqEuFJhZWazXJhsxLL830WO5Kf\nNtM8m2phKhGeFJxpJ7BDQdLenLTqMiIWhGtDcTYvDMu1Jl0/zmRqCF0R+DJitW1Taz0gjT+JWCjU\n6Dg+lxaS6KqCH0iWyq1P/DAg23GZWnIRwOH9I3zri7t49FiWdjfg1fNVpuImu0ZzNFoOCyvVDyU5\nDV1j90hiy7/tGU2gaeqWf7vXSMYsjjguoRAsPzTO//w7RxjK98jwiYbHd/76EucuzG8oNjU7XZqd\nrckEx/V4r9SmkckSN/qJgIbt0ZEuQ0kLsbCCP7fa80zr2NRKtdv2mhZCMJhPMZhLYOoC25OslFtU\nG7d3bamKQjwKMbcIelnpYxobz5HddSkstBndf8PCQkpJ4IcUFzv077vxeLfh4bvBBpLZ0DX6IjaQ\nzAB9HZf9TZuVmHXL4xxKSanSpN1x2T2WZ3w0x8hwlnqjy9JqdUPsHBvK8Bufzq2TzABxS+VrT+dY\nLjm4HZ9942liutYbQBdKorXvmckY5A2JrkBO8ZisGDw6JAmlQBcRMoJQwqWSwnJb4Q8+nebJvT1F\ncyeI+JtzMX52XjC3/OFKXUURDA9k6c8lMXQFz5eEno8lJG4YYbsRz0S1dZIZQJURnw2q/PlbSzz2\n2AjplInnh7zyxjKLSw3ml8rU2ykyiZ4nc6vrslTeetjNdlFs2vxzPEMm7rNbcRACqlLn75w+Omlt\nfWOjmSqDh7NwGK69vEyhVCcT0xmNbb3hGYuH96RlNpWMMzyUxYxphL6kVu9QKjV2pBD+qHFg1wDf\n+Ewfjx2JoykKEfDi+TZnLsZpdxwWSq1tky2rpQa/PBcwv5ThC+M+LxzyiWSI40vOFA1+rGWZWt6Z\nJ6qmKuSdra+hrOsTi1vU6eVA80vbV6n3Z5IMZ2NYKjghFOo2VkxjJKfy7lzA7JU2/9aoklN7AyYv\n+Rp/kstxwev5yPenEgzELAwiXASFjk3H8xlNJoirvfjV8gNWO+1ttUu3PZ/JwOKY2mZA8cgZHi/l\nczxVq+NKhYCQq/kUi7qK3XxAft1LjA5n+MLnB9dJZgDDUPjSFwaZm28TIkhldXRNJZMy1tXHqTXC\n+YufHmWl1GZ28daDVtsdm0vvNRkeNjl4OIGqCmw75KVfVCkUW5/omHEdw6MD9J8Ypf/EMH19FqoC\nlctlosUaA/0W595Z+lBl9+3AD0IqHbD9G7Zr17FQi2jsoItmbDDD159Or5PMAImYwvNPp1ks2Vyb\nvXddDPcLKrUWb56pkMpq5Pp06oaOI8FtBfg3+eNXkxbtcPtkq2UanDo8xL96foiBXO9Elus+f/ET\nnXOXVu8ayV9pdHjNlyx3k2QSJqm0ycHDA3zj9Bi6rnL8aB+HLuSZXyp/6GcOpJKckAqPTRUxpCQC\nVlIxXhvKMHkLwcLHiVbH4dpUjeNH8xsej6KIa9M1vDsgxzVVJd7x0RQFQ1NR6NEY0UfQjfEAD3Av\n8UDR/OuB+5Zo7to2idgNNWUiHqNr2+97jkMiHoO1gXrxWGyDCvpm/G+n6qgCltoq37tmUm+YdLdY\nDOdKDf45SPJOu5+MFtIMVSptD0V6NCydWHvjpttTFGxN/UDVUr3dpd7urntz/SpBVRX6kwlyVo8Y\nabgupY/QY24rKIpCPhmnzzIRQtByPYqdLv42fb2qjTbVRvu+PF+xmMXxgzlOH8/RdQL+/hcFPvPk\nKH/4BydotHxmFhp870dTXJ4skUvqaKqK6wcslTa2DXuez8xSm8cfym76jKnF9kd2fjVNZSibJJs0\ngQjXlow12syM9vE7zx9YJ5kBxvIxvvH8AYrlDpOzK9v+DNfzKHRURi0VXVVJGgkePtDP17+4h76c\nRafj8dr5Aj9/ZZ7VOxhouHe0j8+dTPLsQyZxU1DvSH583uDMZY2V8s4He4ZS0hEqDgoWG+NPVdFx\n3pf8dh2X5dkGI/tSDO1KIITA9wLOv1imVe7itV1WFEEsb1FZ7lIs1je8Xtc0Brvelj6xAx2PZF+c\nD3JyjcdMTj00zm/+xl5Gh+OEYcTVa3X+209muTK5QhiGCCEwdZWBrL7p9eMDOnHT4Em7TnOxzkDU\nh49CQ9WwCSGKaDV9GqGGouscT/n8VQGODSgc75e4KDgB/PiCYLEe8dQBi6f331CpJDTBv3wiyZUF\nh+VinVTCYrgvgaIodGyP5VJzfUCTAA7sHuK5T43w9Kk86aSB3fH48S+XyHbLPJR1eGk5zlIhwTFn\nYyFB+D5at8v/9e3z9GUtGi2XUqXN8mpvsM3c6q0HxELPOmZgIE0yYRFFEZVqm1q9dctuHT8IuFJs\n8mf5PDkdNCJqocpCo0NOGhSvNRg8lFmPd7WFDuWFBrbtoKkKC12Dh1Kb18r5jnrXB6VlM0mOPjTE\n458dJJ018H3JzJUG5183mZktfCLjcdyyOLonwRPHEggElqGSjcG/+VKaYsnmUNzjFzNZ3p2tb5lz\nbAXH8+kzPJ7os7leY9AU+PSQx9VqjKXKzrxngzCkHIvdPBt2HZWYjn0b53HXQIZPjSp8cbBFSpe0\nA8HPC3HOllQWKgHLKwH/eo1khl57+GDk8TlRp5iKowiF0wQ81igSiyRtReX1RJbFZIKnFisMdFwi\nYDUV48xglsn6h3uCd2yX99wcR7U4B5UuXzLLvJrL8WeJUfAkTSGo+b2ulk8i4pbFSNrCtEysuE4Q\n9UiO5WLjIxkOdzdhmgZDQ5uHmGYyOrGYRr3l0ar7pFMWyk0thI2ai6oIdo8kSHzIEFQZRUzPFnF/\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abZvX32vz2JE41k2zNsuNgCvzNr9/tOdBGUZse/aEbTucLyV5etgjqd94UccXnCtqdB0H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\nvJIgCJirGORkGUVV8Lz2He9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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure = plt.figure(figsize=(20, 10))\n", "gs_master = mpl.gridspec.GridSpec(3, 3, height_ratios=[1, 4, 16], width_ratios=[16, 2, 1])\n", "\n", "# Layer 1 - Title\n", "gs_1 = mpl.gridspec.GridSpecFromSubplotSpec(1, 1, subplot_spec=gs_master[0, :])\n", "title_axes = figure.add_subplot(gs_1[0])\n", "title_axes.set_title(\"Computed Periods of 1000 Stars\", fontsize=34)\n", "hide_axes(title_axes)\n", "\n", "# Layer 2 - Histogram 1\n", "gs_2 = mpl.gridspec.GridSpecFromSubplotSpec(1, 1, subplot_spec=gs_master[1, :1])\n", "hist1_axes = figure.add_subplot(gs_2[0])\n", "hist1_axes.xaxis.set_major_formatter(mpl.ticker.NullFormatter())\n", "hist1_axes.hist(x, bins=100, color=colors[5], alpha=0.9)\n", "\n", "# Layer 3 - Scatter\n", "gs_31 = mpl.gridspec.GridSpecFromSubplotSpec(1, 1, subplot_spec=gs_master[2, :1])\n", "scatter_axes = figure.add_subplot(gs_31[0, :])\n", "scatter_axes.scatter(x, y, c=flux, s=50, alpha=0.8, cmap=mpl.cm.Spectral_r)\n", "scatter_axes.set_xlim(min(x), max(x))\n", "scatter_axes.set_ylim(min(y), max(y))\n", "scatter_axes.set_ylabel(\"Log(P/d)\", fontsize=26)\n", "scatter_axes.set_xlabel(\"g-r\", fontsize=26)\n", "\n", "# Layer 3 - Histogram 2\n", "gs_32 = mpl.gridspec.GridSpecFromSubplotSpec(1, 1, subplot_spec=gs_master[2, 1])\n", "hist2_axes = figure.add_subplot(gs_32[0])\n", "hist2_axes.yaxis.set_major_formatter(mpl.ticker.NullFormatter())\n", "hist2_axes.hist(y, bins=40, color=colors[5], alpha=0.9, orientation='horizontal')\n", "\n", "# Layer 3 - Colorbar\n", "gs_33 = mpl.gridspec.GridSpecFromSubplotSpec(1, 1, subplot_spec=gs_master[2, 2:3])\n", "cb_axes = figure.add_subplot(gs_33[0])\n", "cb = mpl.colorbar.ColorbarBase(\n", " cb_axes, alpha=0.5, cmap=mpl.cm.Spectral_r,\n", " norm=mpl.colors.Normalize(vmin=min(flux), vmax=max(flux)))\n", "cb.set_label(\"Flux\", fontsize=20)\n", "\n", "# Tidy up\n", "gs_master.tight_layout(figure)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## MIT's StarCluster" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note: this section is incomplete." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### About StarCluster" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The next clustering option we'll look at in detail is MIT's StarCluster. From their docs site:\n", "\n", "
StarCluster is an open source cluster-computing toolkit for Amazon’s Elastic Compute Cloud (EC2). StarCluster has been designed to simplify the process of building, configuring, and managing clusters of virtual machines on Amazon’s EC2 cloud.\n", "
\n", "\n", "\n", "\n", "StarCluster was developed at MIT for both use by researchers as well as instruction in the classroom. Early uses of it included protein visualization, genetic simulation, and quantum mechanical computations in molecular dynamics. \n", "\n", "StarCluster takes care of the heavy lifting when it comes to creating and configuring a cluster on EC2. StarCluster configures the following items out-of-the-box:\n", "\n", "* Security Groups\n", "* User-friendly Hostnames\n", "* User Accounts\n", "* Password-less SSH\n", "* NFS Shares\n", "* EBS Volumes\n", "* Queueing System\n", "* Scratch Space\n", "* Extensibility via Plugin System\n", "* Cluster Creation and Management\n", "* Dynamic Cluster Resizing\n", "* Easy Data Copying to and from Clusters\n", "\n", "StarCluster is written in Python using the boto, crypto, and paramiko libraries, among others. It supports various Amazon OS images and multiple versions of those OSs. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Code and Images" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have made modifications to StarCluster and some of its dependencies in order to run on Python 3. This notebook's dependencies download the following Python 3 versions of libraries:\n", "\n", "* https://github.com/oubiwann/StarCluster\n", "* https://github.com/oubiwann/optcomplete\n", "* https://github.com/oubiwann/workerpool\n", "\n", "Note that these are still in an experimental state, but are suitable for our needs.\n", "\n", "We have created an updated StarCluster AMI with Ubuntu 14.04.2 LTS and IPython for Python 2 and 3, as well as the many scientific computing libraries you've come to know and love:\n", " * [ami-a73c0a97](https://console.aws.amazon.com/ec2/v2/home?region=us-west-2#LaunchInstanceWizard:ami=ami-a73c0a97)\n", " \n", "Only one region was used for the example in this notebook; if you would like to run in an AWS EC2 region other than ``us-west-2``, search for \"ami-a73c0a97\" in the \"AMIs\" pane of your AWS web console, and then from the \"Actions\" drop-down, select \"Copy\". You will then be presented with a dialog box where you can select a region as well as give it a name and description.\n", "\n", "A best attempt was made at securing the AMI according to the instructions provided by Amazon [here](https://aws.amazon.com/articles/0155828273219400). However, no guarantees are made -- as usual, use at your own risk." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Configuring StarCluster" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the process of running ``make`` for this notebook, you will have downloaded and installed all the dependencies. In a terminal, activate the Python virtual environment from the directory you started this notebook:\n", "\n", "```\n", ". ../.venv-mmpl/bin/activate\n", "```\n", "\n", "Now the ``startcluster`` command line utility will be available to you. Let's use it to create a default configuration file for you:\n", "\n", "```\n", "$ starcluster help\n", "```\n", "```\n", "StarCluster - (http://star.mit.edu/cluster) (v. 0.95.7+py3k-oubiwann)\n", "Software Tools for Academics and Researchers (STAR)\n", "Please submit bug reports to starcluster@mit.edu\n", "!!! ERROR - config file /Users/oubiwann/.starcluster/config does not exist\n", "\n", "Options:\n", "--------\n", "[1] Show the StarCluster config template\n", "[2] Write config template to /Users/oubiwann/.starcluster/config\n", "[q] Quit\n", "\n", "Please enter your selection: 2\n", "```\n", "\n", "At which point your configuration will be generated:\n", "\n", "```\n", ">>> Config template written to /Users/oubiwann/.starcluster/config\n", ">>> Please customize the config template\n", "```\n", "\n", "You will need to make the following edits to your new ``~/.starcluster/config`` file:\n", " * Add a value for the ``AWS_ACCESS_KEY_ID`` entry\n", " * Add a value for the ``AWS_SECRET_ACCESS_KEY`` entry\n", " * Add a value for the ``AWS_USER_ID`` entry\n", " * If you are using a different region than the default of ``us-east-1``:\n", " * Uncomment and set a value for ``AWS_REGION_NAME`` \n", " * Uncomment and set a value for ``AWS_REGION_HOST`` for your chosen region\n", " * Change the value for ``KEY_LOCATION`` to the key ``.pem`` file you downloaded from AWS (this is the full path and filename, including the ``.pem`` file extension)\n", " * Change the value for ``KEYNAME`` to the filename of the ``.pem`` file, without the extension\n", " * Change the value for ``NODE_IMAGE_ID`` to the AMI ID given above: ``ami-a73c0a97``\n", " * Change the value for ``CLUSTER_SIZE`` to ``1`` -- we will add more shortly\n", " \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Starting a Cluster" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With these changes in place, we're ready to start up our cluster:\n", "\n", "```\n", "$ starcluster start my-cluster-name\n", "```\n", "\n", "At which point you will start to see output as StarCluster makes requests to AWS for starting up (and waiting for) nodes. You will see ASCII progress bars and/or status messages for things such as:\n", " * Waiting for the instances to come up\n", " * Waiting for SSH to be ready on all nodes\n", " * Cluster configuration\n", " * Setting up NFS\n", " * Setting up SSH keys\n", " * Setting up Sun Grid Engine\n", "\n", "You can expect a four-node cluster to take about 3-4 minutes for a complete start up." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Running a Job" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "TBD" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## IPython Clusters Revisited" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "TBD" ] } ], "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": "3.4.2" } }, "nbformat": 4, "nbformat_minor": 0 }