ml-finance-python

python scripts for finance machine learning

git clone https://9o.is/git/ml-finance-python.git

notebook.ipynb

(454865B)


      1 {
      2  "cells": [
      3   {
      4    "cell_type": "markdown",
      5    "metadata": {},
      6    "source": [
      7     "#Instability of Parameter Estimates\n",
      8     "\n",
      9     "By Evgenia \"Jenny\" Nitishinskaya and Delaney Granizo-Mackenzie. Algorithms by David Edwards.\n",
     10     "\n",
     11     "Part of the Quantopian Lecture Series:\n",
     12     "\n",
     13     "* [www.quantopian.com/lectures](https://www.quantopian.com/lectures)\n",
     14     "* [github.com/quantopian/research_public](https://github.com/quantopian/research_public)\n",
     15     "\n",
     16     "\n",
     17     "---\n",
     18     "\n",
     19     "# Parameters\n",
     20     "\n",
     21     "A parameter is anything that a model uses to constrain its predictions. Commonly, a parameter is a quantity that helps to describe a data set or a distribution. For example, the mean of a normal distribution is a parameter; in fact, we say that a normal distribution is <i>parametrized</i> by its mean and variance. If we take the mean of a set of samples drawn from the normal distribution, we get an estimate of the mean of the distribution. Similarly, the mean of a set of observations is an estimate of the parameter of the underlying distribution (which is often assumed to be normal). Other parameters include the median, the correlation coefficient to another series, the standard deviation, and every other measurement of a data set."
     22    ]
     23   },
     24   {
     25    "cell_type": "markdown",
     26    "metadata": {},
     27    "source": [
     28     "##You Never Know, You Only Estimate\n",
     29     "\n",
     30     "When you take the mean of a data set, you do not know the mean. You have estimated the mean as best you can from the data you have. The estimate can be off. This is true of any parameter you estimate. To actually understand what is going on you need to determine how good your estimate is by looking at its stability/standard error/confidence intervals."
     31    ]
     32   },
     33   {
     34    "cell_type": "markdown",
     35    "metadata": {},
     36    "source": [
     37     "# Instability of estimates\n",
     38     "\n",
     39     "Whenever we consider a set of observations, our calculation of a parameter can only be an estimate. It will change as we take more measurements or as time passes and we get new observations. We can quantify the uncertainty in our estimate by looking at how the parameter changes as we look at different subsets of the data. For instance, standard deviation describes how different the mean of a set is from the mean of each observation, that is, from each observation itself. In financial applications, data often comes in time series. In this case, we can estimate a parameter at different points in time; say, for the previous 30 days. By looking at how much this moving estimate fluctuates as we change our time window, we can compute the instability of the estimated parameter."
     40    ]
     41   },
     42   {
     43    "cell_type": "code",
     44    "execution_count": 1,
     45    "metadata": {
     46     "collapsed": true
     47    },
     48    "outputs": [],
     49    "source": [
     50     "# We'll be doing some examples, so let's import the libraries we'll need\n",
     51     "import numpy as np\n",
     52     "import matplotlib.pyplot as plt\n",
     53     "import pandas as pd"
     54    ]
     55   },
     56   {
     57    "cell_type": "markdown",
     58    "metadata": {},
     59    "source": [
     60     "# Example: mean and standard deviation\n",
     61     "\n",
     62     "First, let's take a look at some samples from a normal distribution. We know that the mean of the distribution is 0 and the standard deviation is 1; but if we measure the parameters from our observations, we will get only approximately 0 and approximately 1. We can see how these estimates change as we take more and more samples:"
     63    ]
     64   },
     65   {
     66    "cell_type": "code",
     67    "execution_count": 2,
     68    "metadata": {
     69     "collapsed": false
     70    },
     71    "outputs": [
     72     {
     73      "name": "stdout",
     74      "output_type": "stream",
     75      "text": [
     76       "-0.269516110326\n",
     77       "0.0271090734904\n",
     78       "-0.0206160591117\n",
     79       "-0.0386439735132\n"
     80      ]
     81     },
     82     {
     83      "data": {
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SwDCbMjkXZ089J+syAIBTcA0SAABAQkACAABICEgAAAAJAQkAACAhIAEAACQEJAAAgISA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\nICEgAQAAJP4f4iEsjAEN2rkAAAAASUVORK5CYII=\n",
     85       "text/plain": [
     86        "<matplotlib.figure.Figure at 0x7fb6c314bed0>"
     87       ]
     88      },
     89      "metadata": {},
     90      "output_type": "display_data"
     91     }
     92    ],
     93    "source": [
     94     "# Set a seed so we can play with the data without generating new random numbers every time\n",
     95     "np.random.seed(123)\n",
     96     "\n",
     97     "normal = np.random.randn(500)\n",
     98     "print np.mean(normal[:10])\n",
     99     "print np.mean(normal[:100])\n",
    100     "print np.mean(normal[:250])\n",
    101     "print np.mean(normal)\n",
    102     "\n",
    103     "# Plot a stacked histogram of the data\n",
    104     "plt.hist([normal[:10], normal[10:100], normal[100:250], normal], normed=1, histtype='bar', stacked=True);\n",
    105     "plt.ylabel('Frequency')\n",
    106     "plt.xlabel('Value');"
    107    ]
    108   },
    109   {
    110    "cell_type": "code",
    111    "execution_count": 3,
    112    "metadata": {
    113     "collapsed": false
    114    },
    115    "outputs": [
    116     {
    117      "name": "stdout",
    118      "output_type": "stream",
    119      "text": [
    120       "1.2363048015\n",
    121       "1.12824047048\n",
    122       "1.01746043683\n",
    123       "1.00320285616\n"
    124      ]
    125     }
    126    ],
    127    "source": [
    128     "print np.std(normal[:10])\n",
    129     "print np.std(normal[:100])\n",
    130     "print np.std(normal[:250])\n",
    131     "print np.std(normal)"
    132    ]
    133   },
    134   {
    135    "cell_type": "markdown",
    136    "metadata": {},
    137    "source": [
    138     "Notice that, although the probability of getting closer to 0 and 1 for the mean and standard deviation, respectively, increases with the number of samples, we do not always get better estimates by taking more data points. Whatever our expectation is, we can always get a different result, and our goal is often to compute the probability that the result is significantly different than expected.\n",
    139     "\n",
    140     "With time series data, we usually care only about contiguous subsets of the data. The moving average (also called running or rolling) assigns the mean of the previous $n$ data points to each point in time. Below, we compute the 90-day moving average of a stock price and plot it to see how it changes. There is no result in the beginning because we first have to accumulate at least 90 days of data."
    141    ]
    142   },
    143   {
    144    "cell_type": "markdown",
    145    "metadata": {},
    146    "source": [
    147     "##Example: Non-Normal Underlying Distribution\n",
    148     "\n",
    149     "What happens if the underlying data isn't normal? A mean will be very deceptive. Because of this it's important to test for normality of your data. We'll use a Jarque-Bera test as an example."
    150    ]
    151   },
    152   {
    153    "cell_type": "code",
    154    "execution_count": 4,
    155    "metadata": {
    156     "collapsed": false
    157    },
    158    "outputs": [
    159     {
    160      "name": "stdout",
    161      "output_type": "stream",
    162      "text": [
    163       "mean: 0.00984758128215\n",
    164       "standard deviation: 5.06070874011\n"
    165      ]
    166     },
    167     {
    168      "data": {
    169       "image/png": 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9Wduhg1FbW9vtceXl5VFYWJhBIgCgp5QfgKPYv68xbq/aHEUl27s8pqWpIVYs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\nCcoPAACQBOUHAABIwv8H0sQgzG0McfUAAAAASUVORK5CYII=\n",
    170       "text/plain": [
    171        "<matplotlib.figure.Figure at 0x7fb6c314bfd0>"
    172       ]
    173      },
    174      "metadata": {},
    175      "output_type": "display_data"
    176     }
    177    ],
    178    "source": [
    179     "#Generate some data from a bi-modal distribution\n",
    180     "def bimodal(n):\n",
    181     "    X = np.zeros((n))\n",
    182     "    for i in range(n):\n",
    183     "        if np.random.binomial(1, 0.5) == 0:\n",
    184     "            X[i] = np.random.normal(-5, 1)\n",
    185     "        else:\n",
    186     "            X[i] =  np.random.normal(5, 1)\n",
    187     "    return X\n",
    188     "            \n",
    189     "X = bimodal(1000)\n",
    190     "\n",
    191     "#Let's see how it looks\n",
    192     "plt.hist(X, bins=50)\n",
    193     "plt.ylabel('Frequency')\n",
    194     "plt.xlabel('Value')\n",
    195     "print 'mean:', np.mean(X)\n",
    196     "print 'standard deviation:', np.std(X)"
    197    ]
    198   },
    199   {
    200    "cell_type": "markdown",
    201    "metadata": {},
    202    "source": [
    203     "Sure enough, the mean is incredibly non-informative about what is going on in the data. We have collapsed all of our data into a single estimate, and lost of a lot of information doing so. This is what the distribution should look like if our hypothesis that it is normally distributed is correct."
    204    ]
    205   },
    206   {
    207    "cell_type": "code",
    208    "execution_count": 5,
    209    "metadata": {
    210     "collapsed": false
    211    },
    212    "outputs": [
    213     {
    214      "data": {
    215       "image/png": 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Ivfnmm7F8+fJ4/fXXe+YG5XK5uP/++zMPBwAAkIVei9CNN94Y55xzTkybNi2GDHl/bYXf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\nAIDkKEIAAEByFCEAACA5ihAAAJCc/w+Y5k1L2YMQFgAAAABJRU5ErkJggg==\n",
    216       "text/plain": [
    217        "<matplotlib.figure.Figure at 0x7fb75d282810>"
    218       ]
    219      },
    220      "metadata": {},
    221      "output_type": "display_data"
    222     }
    223    ],
    224    "source": [
    225     "mu = np.mean(X)\n",
    226     "sigma = np.std(X)\n",
    227     "\n",
    228     "N = np.random.normal(mu, sigma, 1000)\n",
    229     "\n",
    230     "plt.hist(N, bins=50)\n",
    231     "plt.ylabel('Frequency')\n",
    232     "plt.xlabel('Value');"
    233    ]
    234   },
    235   {
    236    "cell_type": "markdown",
    237    "metadata": {},
    238    "source": [
    239     "We'll test our data using the Jarque-Bera test to see if it's normal. A significant p-value indicates non-normality."
    240    ]
    241   },
    242   {
    243    "cell_type": "code",
    244    "execution_count": 6,
    245    "metadata": {
    246     "collapsed": false
    247    },
    248    "outputs": [
    249     {
    250      "data": {
    251       "text/plain": [
    252        "(142.12550136207705,\n",
    253        " 1.3735343038981241e-31,\n",
    254        " -0.007644415681800421,\n",
    255        " 1.1531707484649847)"
    256       ]
    257      },
    258      "execution_count": 6,
    259      "metadata": {},
    260      "output_type": "execute_result"
    261     }
    262    ],
    263    "source": [
    264     "from statsmodels.stats.stattools import jarque_bera\n",
    265     "\n",
    266     "jarque_bera(X)"
    267    ]
    268   },
    269   {
    270    "cell_type": "markdown",
    271    "metadata": {},
    272    "source": [
    273     "Sure enough the value is < 0.05 and we say that X is not normal. This saves us from accidentally making horrible predictions."
    274    ]
    275   },
    276   {
    277    "cell_type": "markdown",
    278    "metadata": {},
    279    "source": [
    280     "# Example: Sharpe ratio\n",
    281     "\n",
    282     "One statistic often used to describe the performance of assets and portfolios is the Sharpe ratio, which measures the additional return per unit additional risk achieved by a portfolio, relative to a risk-free source of return such as Treasury bills:\n",
    283     "$$R = \\frac{E[r_a - r_b]}{\\sqrt{Var(r_a - r_b)}}$$\n",
    284     "\n",
    285     "where $r_a$ is the returns on our asset and $r_b$ is the risk-free rate of return. As with mean and standard deviation, we can compute a rolling Sharpe ratio to see how our estimate changes through time."
    286    ]
    287   },
    288   {
    289    "cell_type": "code",
    290    "execution_count": 7,
    291    "metadata": {
    292     "collapsed": false
    293    },
    294    "outputs": [
    295     {
    296      "data": {
    297       "image/png": 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ANqzzFS33GwufALCAyy65AEOXbUDKOQk89zIAYLC/p2G/80Y/f46uOTxw8Dnj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\nlZHY5bZLLzhBkj+bdd6ZBaGOf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iQpISFBc+bM0UcffSSfz9ev984f/vCHoXOnL/M30s6/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\n",
    298       "text/plain": [
    299        "<matplotlib.figure.Figure at 0x7fb6c232f390>"
    300       ]
    301      },
    302      "metadata": {},
    303      "output_type": "display_data"
    304     }
    305    ],
    306    "source": [
    307     "def sharpe_ratio(asset, riskfree):\n",
    308     "    return np.mean(asset - riskfree)/np.std(asset - riskfree)\n",
    309     "\n",
    310     "start = '2012-01-01'\n",
    311     "end = '2015-01-01'\n",
    312     "# Use an ETF that tracks 3-month T-bills as our risk-free rate of return\n",
    313     "treasury_ret = get_pricing('BIL', fields='price', start_date=start, end_date=end).pct_change()[1:]\n",
    314     "pricing = get_pricing('AMZN', fields='price', start_date=start, end_date=end)\n",
    315     "returns = pricing.pct_change()[1:] # Get the returns on the asset\n",
    316     "\n",
    317     "# Compute the running Sharpe ratio\n",
    318     "running_sharpe = [sharpe_ratio(returns[i-90:i], treasury_ret[i-90:i]) for i in range(90, len(returns))]\n",
    319     "\n",
    320     "# Plot running Sharpe ratio up to 100 days before the end of the data set\n",
    321     "_, ax1 = plt.subplots()\n",
    322     "ax1.plot(range(90, len(returns)-100), running_sharpe[:-100]);\n",
    323     "ticks = ax1.get_xticks()\n",
    324     "ax1.set_xticklabels([pricing.index[i].date() for i in ticks[:-1]]) # Label x-axis with dates\n",
    325     "plt.xlabel('Date')\n",
    326     "plt.ylabel('Sharpe Ratio');"
    327    ]
    328   },
    329   {
    330    "cell_type": "markdown",
    331    "metadata": {},
    332    "source": [
    333     "The Sharpe ratio looks rather volatile, and it's clear that just reporting it as a single value will not be very helpful for predicting future values. Instead, we can compute the mean and standard deviation of the data above, and then see if it helps us predict the Sharpe ratio for the next 100 days."
    334    ]
    335   },
    336   {
    337    "cell_type": "code",
    338    "execution_count": 8,
    339    "metadata": {
    340     "collapsed": false
    341    },
    342    "outputs": [
    343     {
    344      "name": "stdout",
    345      "output_type": "stream",
    346      "text": [
    347       "Mean of running Sharpe ratio: 0.0646215053325\n",
    348       "std of running Sharpe ratio: 0.0778015776531\n"
    349      ]
    350     },
    351     {
    352      "data": {
    353       "image/png": 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/4ur/tzmkjXgq7E4PHC4vykuMMOgDXfVy2BwCAAp7GDiVFwdL9cacJGacjIHn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\nOBERERERESXAwImIiIiIiCiB/wcNGEvLljwcegAAAABJRU5ErkJggg==\n",
    354       "text/plain": [
    355        "<matplotlib.figure.Figure at 0x7fb6c23c7c90>"
    356       ]
    357      },
    358      "metadata": {},
    359      "output_type": "display_data"
    360     }
    361    ],
    362    "source": [
    363     "# Compute the mean and std of the running Sharpe ratios up to 100 days before the end\n",
    364     "mean_rs = np.mean(running_sharpe[:-100])\n",
    365     "std_rs = np.std(running_sharpe[:-100])\n",
    366     "\n",
    367     "# Plot running Sharpe ratio\n",
    368     "_, ax2 = plt.subplots()\n",
    369     "ax2.set_xticklabels([pricing.index[i].date() for i in ticks[:-1]]) # Label x-axis with dates\n",
    370     "ax2.plot(range(90, len(returns)), running_sharpe)\n",
    371     "\n",
    372     "# Plot its mean and the +/- 1 standard deviation lines\n",
    373     "ax2.axhline(mean_rs)\n",
    374     "ax2.axhline(mean_rs + std_rs, linestyle='--')\n",
    375     "ax2.axhline(mean_rs - std_rs, linestyle='--')\n",
    376     "\n",
    377     "# Indicate where we computed the mean and standard deviations\n",
    378     "# Everything after this is 'out of sample' which we are comparing with the estimated mean and std\n",
    379     "ax2.axvline(len(returns) - 100, color='pink');\n",
    380     "plt.xlabel('Date')\n",
    381     "plt.ylabel('Sharpe Ratio')\n",
    382     "plt.legend(['Sharpe Ratio', 'Mean', '+/- 1 Standard Deviation'])\n",
    383     "\n",
    384     "print 'Mean of running Sharpe ratio:', mean_rs\n",
    385     "print 'std of running Sharpe ratio:', std_rs"
    386    ]
    387   },
    388   {
    389    "cell_type": "markdown",
    390    "metadata": {},
    391    "source": [
    392     "The standard deviation in this case is about a quarter of the range, so this data is extremely volatile. Taking this into account when looking ahead gave a better prediction than just using the mean, although we still observed data more than one standard deviation away. We could also compute the rolling mean of the Sharpe ratio to try and follow trends; but in that case, too, we should keep in mind the standard deviation."
    393    ]
    394   },
    395   {
    396    "cell_type": "markdown",
    397    "metadata": {},
    398    "source": [
    399     "##Example: Moving Average\n",
    400     "\n",
    401     "Let's say you take the average with a lookback window; how would you determine the standard error on that estimate? Let's start with an example showing a 90-day moving average."
    402    ]
    403   },
    404   {
    405    "cell_type": "code",
    406    "execution_count": 9,
    407    "metadata": {
    408     "collapsed": false
    409    },
    410    "outputs": [
    411     {
    412      "data": {
    413       "image/png": 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41/a3FIhEIoDCkIiIyAXqSF4lFdUOXG4veSU1+Hw+Ckvr6NUtLrgO53zQWje5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\nbpRFgyGNRsN1a6axeEYuSQYdv/7XCzEZdVTVtve4j9OxaU8Njz2/hw9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+gWf2vEA4EuYz\n09dww9wrMOgMI/o9CCGEGHoSDAkhxjWPP4Q/EKbJ4R3tUxGnEA5H+OeGo5iT9Pzk9pUjPjTSoNdy\nxfmT41+vml8AgF6nJc2WREOrh+a2jt+hWGYoFAnzh51/592KD0lNSuYby78s3eKEEOIMIsGQEGJc\nc3uDALS7/H1sKYZTIBjGaND1+vqOw43Y23xctrKUGaUZI3hmfcvJMHOk2tHpuVSrkUa3nd9seYqy\n5gpK0gr5j/O+TpZlbJ27EEKI03PqvqFCCDHGxYIhty9EMBQZ5bM58ymK0u258hOtXHvfq2zZX9fr\n+3aWNQKweoTL4/ojtm6og0JtuIzvvvkzyporWFm0mJ+uvkcCISGEOANJMCSEGNfcvmD8cbtbskPD\nqdnh5Yp/e5nn1h/p9PzuI01EFNh5uLHX99Y0uQAoyR/Z8rj+yEgxgcGHLrsaw6S9JM3/gHfqXwbg\nzmVf4u6VX8EkbbOFEOKMJGVyQohxLZYZAmh3B8hMNY/i2ZzZPjnUAMAzrx/i2ounxZ+vqm2P/ret\n1/fWNrnISDFhTho7/+wEwkG21+zlmPkDzAvKQaNmvfRKEosmLORLC64mx5Y1ymcphBBiOI2df5WE\nEGIQEoOhxIGaYui5PIEen48FQcfq2olElG4ts/1BtcHFnEmjH1g0u1vY23CIPfWH2FN/EE9QbZow\nJbOU80qWMTdvBgXJuWg1UjghhBBnAwmGhBDjWmIw1Obu+WJdDI26Zne353yBELXREjhfIEx9i5uC\nLFunbeqb3SgKFGRbR+Q8u2r2tLCxagubqj+hpr0+/nymJZ01k8/jwtIVFKbmj8q5CSGEGF0SDAkh\nxrVOZXLSUW5YnWxUgx6NRm2koNFoqK53ElHU1tXBUISqmvZuwdCJRicAhTm2bvscTp6Al3/sf4U3\nj24kokQw6gwsKpjL/NyZzMubSUFyLhrNyA1+FUIIMfZIMCSEGNdcPskMjZRYMKQo6vqsVFsS1fVq\noLNoeg5bD9RzMhr4AByotPPLv+6gsVUtRSvIHplgSFEUPji2lT/t+SdtvnbybNlcOeMSVhYvxmKQ\nNWVCCCE6SDAkhBjXOpXJSWZo2LS5/DgT1gzZ23yk2pLiwc/SWblsPVBPnb2jlG7H4QYaW73otBpW\nLyli3pThXzNU7ajhrzWvcbKiHqPOwPVzPssVMz6FQWcY9mMLIYQYfyQYEkKMaxIMjQx7m6/L115M\nSTpONKjZokXTc9FqoN7uiW/TFM0IPX7fGnIzus7yGVqeoJfn9r/GG+XvE1EiLJ0wn5sXXkuONXNY\njyuEEGJ8k2BICDGuub0hALQaaHMNX5ncW1uO8+qmSn7+9VWkWI3x5/3BMD5/iFRb0rAdeyxwRksQ\n87Os1DW72XqgnreePA6A1WwgK81EVpq5U5OFJocXjQYyU4d3Rs/O2n08vv0vtHrbyLVlc17yIq47\n93PDekwhhBBnBukdKoQY19zeIOYkPSnWpGEduvrIc7s5VtfOe9ur488FQ2G+8rO3ufN/3iMSUYbt\n2F25PAFe3HCUUDgyYsd0etVgqDQ6NPXD3TXx1yZkW9FoNORlWmlp9+ELqAFqk8NLRooJvW54/qkJ\nhAL8dtufeODDx2j3u7h29uU8fOl/MtlaNCzHE0IIceaRzJAQYlxz+YJYzQasJn23Uq6h0p7QmOGd\nbdW0uQKYk/QEguF4NsqT0MhhuP386W3sr7CjKHD1RVNG5JixzND04nQ+3leHxxeKv+byqN97fpaV\nvUebabB7KMxNxu7wMqUobVjOp8lt56FNj1PlOEFpWiHfXP5litMmDMuxhBBCnLkkGBJCjGseb5Cs\nNDMpViPH652EwpEhz0TsKW+KP66ud8Y7qJmTdPHnnZ6RC4b2V9gBcHlHrntee7R5wsSCVNJsSTgS\n1mdddk4pAPmZ6hyhXz67k3+9YRHhiEJ22tB3bzvQeIRfbv4dTr+L1ZNW8ZVF10uDBCGEEIMiZXJC\niDFvw44TPPvWYRSlcylaIBjG5Q2SYjXG1/H85Pdb2LDjxJAe/2CVGnzcc+Nibv/cXK44fxIAXn84\nvk1ip7XT4XD6uefXG9lZ1tjntinWkVunFMv+JFsN8WyPVqvhye9/is+eNxmAudFucZU1bfz93SMA\nZKcPbeOEjVVb+NmGX+MJeLht8Q18bcmNEggJIYQYNMkMCSHGvIf/uhMAU5Keqy6cwrNvHcZg0LFy\nbj4AOekWkoxqlmbXkSZ2HWniwsVDt26kpV0tv5s/NYv0ZBPH6tp5+YNKQG3cEFE6goXTtW7jUY5U\nO7j/iY+ZkG3jzmvmMW9Kdo/bGg0jdz8rViqYbDFSlJvM9kMNRCIKOQld4qYVp/Pbey/mjgfWx9cU\nZaUNTfMERVF44eAb/GP/K1gNZr577teZlTN1SPYthBDi7CXBkBBiTAsnNAl49u0yls3O469vl6HX\nacjLVC/Ec9KHd5Cmw+lHq+nIxBTnJmMx6fH4Qiyakcv2Qw24vAGsQ3CsJoc3/rimycW2Aw29BkOB\n4Ag2UPB0BEMTosNTJ/QwRHVCto3sdHO8rXZB1ukPWq11NvDHXc+xq+4AWZYMvnfBNylMyT/t/Qoh\nhBASDAkhxrTE4MDrD/H7l/YDEAorvLqpCoCcDAv+YLjH9w8Fh9NPijUJnVYDqOVhcydnseNwI0tm\n5LD9UANOTxDrECRBYuuRYuoThpgC8U5toJYJjhSXJ4hWq8Fi0rNmaREt7T4uXFTY47b5mdZ4MLRw\nWs+BXL+O6Xfz/IHXeOvoRsJKhLm5M7hrxS2kmlIGvU8hhBAikQRDQogxLTa3Jj05iVann+2HGkgy\n6vAHwhyoVNfy5KRbOnV8AzWjpOtnI4WmVi/Zp8guOVx+crqsffnGNfOxt/vix3V5AnCawZDHF+R4\nfXun5+q6BEPNCcFhIDT4YEhRFDQaTb+3b3cHSLYY0Gg06HQabrhkeq/bXrqilL1Hm/n29Qv7/Rkk\nCoVDvHl0Iy8ceA130EuuNYsb51/F8sKFAzpnIYQQoi8SDAkhxrT6Fg8AFywqZN3GCgDWrihhz5Em\njkezKDkZFuhyjdzuDpCe0nN00uzw8qPffcyUojTmTMri13/fxV3XLeBTy0u6bRsIhvH4QqR1Gaqa\nnmIiPcVE+YlWAFze018zVFXbTpceEdTbPZ0CF7ujo334YMvkHv7LDk42Ovnl3Rf0Gly4PAGMBh1G\ng7oWy+kJdBo2eyrnLihg5sRLyBpgJzlFUfikZg9/3vNP6l1NWAxmvrTgX1g75QJpkiCEEGJYSDAk\nhBhTmh1eGls9zJqYCUB9NDO0bHYeb3x8DH8gzNrlJdhMBo7Xl6HVQGaqCX9C+Rio2ZzegqHDx1s4\nXu/keL2T9Z+onef+ueFoj8GQw6m2kE5L7rlzW7JFDRCGoptcQ4v6vVrNBtzR4CoQDNPq9JORYqLs\neAs/eHxzfPvgAMrkQuEIoXAEk1HPhp0nAbj9F+8ya2Im37lhUadtvf4QX3tgPQumZfPdm5YQiSi4\nPIEe1wj1RKPRDDgQOtJcyV/2ruNQUzk6jZZLp17INbMvJyXp9NccCSGEEL2RYEgIMab84LebqWly\n8fi9F1OQbYuXiRVm27jqgil4fEGK81JQFPjr22VkpJrR67Td2ky3Ov1M7OUY7h6yOIlDRBPF5un0\nFgzZzGrGQu0md3p/UhvsahZs3pQsPt5XF3++rtlNRoqJ3QnzjoABrZP65V93snV/HX+8f238uXq7\nh3q7h7s/37n8bFdZI+3uAFv21eHzhwhFFCJKR+A3VBRFYV/DYdYdeov9jWUALCmYx03zr6IgJW9I\njyWEEEL0RIIhIcSYUtPkAuCTQw1cmW3jeF07VpOetOQkbrx0Rny74rxkzl8wgdxoR7lUm5FPLSum\nusFJ2fHWeEanJ25v98DH6QkQjijxJgkx8cyQredgyGIyoNHEyuRO709qrCRw0fQcPt5XR0aKiZZ2\nHw0tbmZPyow3Jfjx7Su5/4mPCYb6XyYXa3X95pbj3V5ze4PYLEY27DxJms3IJwcbAAiEIuwub6L8\nhAMYujbZ4UiYT2r28NLht6loUc9nft5Mrpp5mbTLFkIIMaIkGBJCjCk2swGXN8i6jRXMm5JFbbOb\npbNyu61t0Wg0fPeLSzp9fdf1C9myv46fP7UNh9OPxxfkroc3cNWFU7h8VUeeyO3rnhkKhiLUNDop\nzuvcqay1jzI5rVaDzWyIlsmdujSsttmF1WQgtZfAqqHFg0YDFy8twmjQoddpePDPO+Id9RqjwVJh\ntFytvw0U2lwdgeHz75UDUJqfQkOLB68/RJPDizlJz8N/2QGon4FepyEUVnj27TIqa9rIz7Jy3Zpp\n/TpeTxRFocnTwraTu3jjyPs0eVrQoGF54UKumrmWSRndSxSFEEKI4SbBkBBiTDEatOBV1w7d9fAG\nAOZOzur3+2NBS5vLz/5KOw0tHn77z72dg6FomVxBlpXa5o5ubU+9epB7blwcL30DcLh8nfbbE5vZ\nqHaTO4V6u5uv/WI986dm8bM7VvW4TYPdTWaqGYNex+olRRyNZmRiHesaWz2kWI0kRxsZ9LeBQnVD\nR7vu2Pd+5fmTcbj8/PG1gzQ5vFhNHd+zyxvks+dNYk95E5U1bYDaPS8zte91QIqiYPe24gv6cQZc\nlNuPccReSXlzFa0+dV9GnYFLJp/Pp6ddJOVwQgghRpUEQ0KIMUNRFJyeIElGHYtn5LB5r7puZu6U\nAQRD0axLZU0b00rSe9wmlhmaXpJObbObS1eW0tjiYfuhBr7xP+/xv9+5gIxo84WqGrXVdfYpGgLY\nLAaa67woXVvBJXjyZXU+0p7y5h5fD4bC2Nt9zJ6UGX8uxaYGPe2ugJpZafVSnJeMUa8cub2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/NxtnyZ7719+8Eib+CJj2oeGWqeZldV6xg0Yejdrdk8+/YBAM6dFM+3Vk5hRKsP/559kmIiWoKO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\nDXNuVjUAAAAASUVORK5CYII=\n",
    414       "text/plain": [
    415        "<matplotlib.figure.Figure at 0x7fb6c2559e50>"
    416       ]
    417      },
    418      "metadata": {},
    419      "output_type": "display_data"
    420     }
    421    ],
    422    "source": [
    423     "# Load time series of prices\n",
    424     "start = '2012-01-01'\n",
    425     "end = '2015-01-01'\n",
    426     "pricing = get_pricing('AMZN', fields='price', start_date=start, end_date=end)\n",
    427     "\n",
    428     "# Compute the rolling mean for each day\n",
    429     "mu = pd.rolling_mean(pricing, window=90)\n",
    430     "\n",
    431     "# Plot pricing data\n",
    432     "_, ax1 = plt.subplots()\n",
    433     "ax1.plot(pricing) \n",
    434     "ticks = ax1.get_xticks()\n",
    435     "ax1.set_xticklabels([pricing.index[i].date() for i in ticks[:-1]]) # Label x-axis with dates\n",
    436     "plt.ylabel('Price')\n",
    437     "plt.xlabel('Date')\n",
    438     "\n",
    439     "# Plot rolling mean\n",
    440     "ax1.plot(mu);\n",
    441     "plt.legend(['Price','Rolling Average']);"
    442    ]
    443   },
    444   {
    445    "cell_type": "markdown",
    446    "metadata": {},
    447    "source": [
    448     "This lets us see the instability/standard error of the mean, and helps anticipate future variability in the data. We can quantify this variability by computing the mean and standard deviation of the rolling mean."
    449    ]
    450   },
    451   {
    452    "cell_type": "code",
    453    "execution_count": 10,
    454    "metadata": {
    455     "collapsed": false
    456    },
    457    "outputs": [
    458     {
    459      "name": "stdout",
    460      "output_type": "stream",
    461      "text": [
    462       "Mean of rolling mean: 288.399003348\n",
    463       "std of rolling mean: 51.1188097398\n"
    464      ]
    465     }
    466    ],
    467    "source": [
    468     "print 'Mean of rolling mean:', np.mean(mu)\n",
    469     "print 'std of rolling mean:', np.std(mu)"
    470    ]
    471   },
    472   {
    473    "cell_type": "markdown",
    474    "metadata": {},
    475    "source": [
    476     "In fact, the standard deviation, which we use to quantify variability, is itself variable. Below we plot the rolling standard deviation (for a 90-day window), and compute <i>its</i> mean and standard deviation."
    477    ]
    478   },
    479   {
    480    "cell_type": "code",
    481    "execution_count": 11,
    482    "metadata": {
    483     "collapsed": false
    484    },
    485    "outputs": [
    486     {
    487      "name": "stdout",
    488      "output_type": "stream",
    489      "text": [
    490       "Mean of rolling std: 17.3969897999\n",
    491       "std of rolling std: 7.54619079684\n"
    492      ]
    493     },
    494     {
    495      "data": {
    496       "image/png": 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OAAAko0QaVx0Q6FoFptLFk/5Bj7r73CqIcOetstQuSTrUSOgBpBAGGZSXl2vL\nli2S/IeVPvLII5o1a1bECwMAABPXOtQNiXRnIZoCXatAoIsnbS5/UIv088jOSFVhbroONboieh8g\nXgTt9Nx+++365S9/qb179+r000/Xe++9x54eAADiRGuHf9N8YU5kNs2bIdC1aovD0HO08xb5PVZT\nSu1q6ehTT99gxO8FxLqgnZ6SkhI9/vjj6unpkdfrVXZ2djTqAgAAYeAc6iwkyshq6WinJx6Xt7UO\nd3qiEHrKcrRtj0OHmjo1p6og4vcDYlnQTs/VV1+tDRs2yGKxEHgAAIgzzg7/m+zCBAo9gS5JXC9v\ni8Ieq8ml/vdtR5oZWw0EDT2rV6/Wxo0bdd555+n222/X1q1bo1EXAAAIg9aOPqXbrMpIC7q4I27k\nZsfxnp6hmgui0OkpzvNP3m3piN+DXIFwCfoT8Pzzz9f555+vtrY2vfjii/rpT3+q7u5uvfzyy9Go\nDwAATECrq0+FuekyDMPsUsImNcUie2ZqXO7paY3SIANJKszzB6uW9vhbBgiEW9BOz/AnWiwJ9QMT\nAIBEFzjAsyCBhhgE5NnT1B6He3raojjIoCjX/9xb2un0AEE7Pa+++qqee+45bdmyRRdccIFuu+02\nLVy4MBq1AQCACQhs9E+k/TwB+fZ01TV1adDtVWpKyL/DNV1rR5/SbFZlpkd+uWFWRqoy0lIIPYBC\nCD2//e1vddlll2nt2rXKyPD/xqC+vl4VFRURLw4AAIxf69AQg2jsH4m2vKF9PR1d/SrKi59OltPV\nq6IoLjcsyksn9AAKIfSsW7dOkjQwMKAXXnhBTz/9tHbs2DF8YCkAAIhNgXHVidjpycm2SZJc3QNx\nE3oG3R51dA2oqiwnavcsys1QXVOX+vrdSk+gYRbAWAX9r/+jjz7S008/rb/85S/q7+/Xv/3bv+nh\nhx+ORm0AAGACnIGDSXPjIxSMRU7W0U5PvDBjfHggELZ09KqyxB61+wKxZtRFsOvWrdOKFSu0Zs0a\nTZo0Sc8//7wKCgr0pS99aXiZGwAAiF2JvLwt95hOT7w4Gnqi9z4qcC8nE9yQ5Ebt9Nx999268MIL\n9cMf/lDl5eXRrAkAAIRBQi9vy4q/0BPYW1MUxedRWuAPPQ3Obp2u4qjdF4g1o4ael156SX/60590\nxRVXqLq6Wpdccol8Pl80awMAABMQ6PTkJ2CnJx5DT6DTUxDFTk9gSdvh5q6o3ROIRaMub6uurtYt\nt9yi116rBSqbAAAgAElEQVR7TVdeeaVeeeUVOZ1O3XzzzXrrrbeiWSMAABgHZ0efcrNtcTXSOVTD\ne3q642lPz1CnJy96IbSyJFuSdLi5M2r3BGJR0J+CKSkpWr58uR5++GFt2rRJs2bN0t133x2N2gAA\nwAS0unoTcj+PJOXGYafHMby8LXqdnuxMm/Lsaaqj04MkN6Zf/RQVFelb3/qWXnrppUjVAwAAwqCn\nb1C9/Z6EnNwmSfah0NMZJ6HncHOn3v+kUaUFmcodOmMoWiaX2OVo61HfgDuq9wViSeL1uwEAwNH9\nIwna6UmxWpSVnhI3I6ufemWP3B6fvrliniyW6BxMGlBZki2fT2po6Y7qfYFYQugBACABtZpwJky0\n5WSnxcXyNp/Pp+17HSrMTdfiU6M/EbeiOEsSoQfJjdADAEACCuwfSdTlbZJ/gpureyDmp8vWt3Sr\nvatf86YVyjCi2+WRNLycLh4CIhApo46sDnjyySdPeM1ut2v+/PmaOnVqJGoCAAAT1NzWI+noOS2J\nKCfLJo/Xp+4+t7IzUs0uZ1Qf73NKkuZOKzDl/vE43hsIt6Ch56233tL777+vs88+Wz6fT++++67m\nz5+v++67T9dee61WrVoVjToBAMAYNLX6Q09JQabJlURO3lAHo6OrP6ZDz47aFknS3OmFptyf0AOE\nEHoMw9ALL7ygiooKSVJDQ4P+9V//VX/84x+1evVqQg8AADHI0dYrw5CK8xK305Nn94eeNlefJhVn\nm1zNyAbdXr3/SZMKc9NVVZZjSg2BM41ccXSmERBuQff01NXVDQceSSovL9fhw4dVUlKilJSgmQkA\nAJigqa1H+fZ0paZYzS4lYvLt/iENbZ2x+2Z++16HunoHde7pFVGf2hYQj2caAeEWNPQUFhbqP//z\nP9Xc3KympiY98sgjKigokMfjMWUzHgAAODmPxytne69KE3hpmyTl5/g7GO0xHHre+uCIJOlzp08y\nrYY0m1W2FAuhB0ktaOhZu3atPv74Y1188cVasWKFduzYobVr18rtduuee+6JRo0AAGAMnK4+ebw+\nFecn7tI26dhOT5/JlYxs0O3RuzsaVJSXoVlT8k2rwzCM4Ul3QLIKuj6ttLRUDzzwwIgfmz17dtgL\nAgAAE+No84+rTvhOjz22Oz3bdjvU3efW5xdVmba0LSAnK00NTs7pQfIKaVPO5s2bVVdXJ7fbPfza\n1772tYgVBQAAxm94clt+Yoee4UEGMRp6/vZRgyTps6dXBPnMyMvJsmlffYcG3Z6E3ucFjCZo6Lnl\nllv08ccfa+7cubJa+UsCAECsC5zRk+ihJyMtRWk2a8wub9t5wKnM9BTNnGze0raAY8dWJ/KBtcBo\ngoaeDz74QC+++KJSU2N3/j0AADiqefiMnsR+c2sYhvLtaTG5vM3VPaAjjm4tmFVs+tI2idADBB1k\nUFZWJp/PF41aAABAGAQ6PcUJ3umR/MMM2jv75fXG1nuV3QdbJUmnTC0wuRK/nKGDXOtb2NeD5BS0\n0zN16lStXr1ay5cvl81mG36dPT0AAMSm5rZe5dnTlJaa+MvS8+xp8nh9cnUPDO/xiQW7D7ZJkuZU\nxUboWTSvTL97ZZee/O9dmlaRo4qi2DzMFYiUoKGnv79fkydP1p49e6JRDwAAmACv1ydHW6+qJ+Wa\nXUpUFOf5l2q1tPfGVOj59HC7JGnmlDyTK/GbPilXFy6q0svvHNT//vdXtWBmsS49b4b+YU6J2aUB\nURE09Nx9993RqAMAAIRBW2ef3B5vwp/RE1A0FHoc7b2aMTk2AoYk7TvSoeL8DNkzbcE/OUr+96Xz\nNWtKvl6vOawP9jr0wV6HrrtigT6/qMrs0oCIGzX01NTUaOHChXr99ddlGCduwFu6dGlECwMAAGOX\nLOOqA4qO6fTEijZXn9o6+7VoXpnZpRwnNcWiCxdV6cJFVdpzqE0//tXf9NDT23VqdZHKi7LMLg+I\nqFFDz7PPPquFCxfq17/+9YgfJ/QAABB76h1dkqSK4uTYs1Ecg6Fnf71Lkn9JWayaNSVf16w8Tff9\n11a99Nf9+tYlp5pdEhBRo4aen/70p5Kk3/72t1ErBgAATMzhZn/oqSxJjtATi52effUdkqRpFbEb\neiTp3NMn6f+98LH+572D+to/zlFGWkhn1gNxKejI6quvvlobNmxQX19sHvwFAACOqmtKrtCTn5Mu\ni8WQI4ZCT11TpySpqtxuciUnl5pi0RfOnqqePrdeq6kzuxwgooKGntWrV2vjxo0677zzdPvtt2vr\n1q3RqAsAAIzD4eZO2TNtys2OnUlmkWS1GCrMTY+p0ONo65VhSMV5sb+v6h/PnqoUq6EX397HuYxI\naEFDz/nnn68HHnhAf/nLXzR79mz99Kc/1UUXXRSN2gAAwBgMuj1qbO3R5NLk6PIEFOVmqNXVJ4/H\na3YpkqSmth4V5KQrNSXo2yzT5eek67OnT1JdU5e273WYXQ4QMSH/bbRYLCNOcTuZhoYGXXXVVfrS\nl76kf/qnf9L69eslSQ888ICWLFmilStXauXKlXrzzTfHVjUAADhBQ0u3vF6fKktie1lVuBXlZcjr\n9am9q9/sUuTxeNXS3htX0/P+6bPTJEkvvLXf5EqAyAm6Y+3VV1/Vc889py1btuiCCy7QbbfdpoUL\nF4Z28ZQUrVmzRqeccoq6u7t12WWX6dxzz5VhGFq9erVWr1494W8AAAD4NTr946rLCuPnDXc4FOSk\nS5JaXX0qzDX3fCKnq09ery+uQs/sqgLNmpKn9z5p1PNv1mrFkmqzSwLCLmjo+e1vf6vLLrtMa9eu\nVUbG2H6QFBcXq7i4WJKUlZWl6upqNTU1SRLrRgEACDNHW3Kd0RMwHHo6+qTJ5tbSHDgnqSC+Doe9\ndtUC/fhXf9OvNuzQzMn5OmVagdklAWEVdHnbunXrtGLFCvl8PvX09Iz7RocPH9bOnTt1+umnS5Ke\neOIJrVixQmvWrJHL5Rr3dQEAgF9zm38zf9KFntyjnR6zxeszmFaRq1uvPkuS9Ovnd8jr5ZfTSCyG\nL0jL5dChQ/rBD36gnTt3SpLmzZune++9V5Mnh/6rlO7ubl111VX63ve+p+XLl8vpdKqgwP8bhPvv\nv18Oh0N33XXXqF9fU1MT8r0AAEhWf3zbqY8P9er6lWXKzUyeM1f2N/XpN6+2aMmpdi2bb+7ZOG98\n5NJrH7l05XlFmlGRbmot4xH4b+jycwp02tT4Cm6ApFG34QT9iXjHHXfoiiuu0GWXXSZJevbZZ3XH\nHXfo8ccfD+nGg4ODuu6667RixQotX75cklRYWDj88VWrVum73/3uuL8BREdNTQ3PIAbwHGIDz8F8\nPIOR/e6vb8pq6dPSc8+S1TK24UPjESvPoczRpd+8+qrSMvO1cOEZptby10+3SXLp3EXzozZQIpzP\nYdLUbn33nk16c2ev/teKc5SWag3LdRNdrPxdSHYna5QEXd7W2tqqL3/5y7JYLLJYLLr88svldDpD\nurHP59Ntt92m6upqff3rXx9+vbm5efh/b9y4UbNmzQrpegAAYHSOtl4V5mVEJfDEkny7/0yi2Fje\n5t8KUBxny9sCygqzdMmS6XK09er5N2vNLgcIm6CdHqvVqtraWlVX+yd57Nu3TykpobXMa2pq9Pzz\nz2v27NlauXKlJOn666/XSy+9pJ07d8owDFVWVurOO++cwLcAAAAG3V61dfZp3vTC4J+cYDLTU5WR\nliJnRwyEntZe5WWnxXWHZNUFs7Tx/UP63Su7lW9P1/KzpphdEjBhQdPL9ddfryuvvFJz5syRJO3a\ntUtr164N6eJnnnmmdu3adcLrS5cuHWOZAADgZJwdvfL5pOK8+JoaFi4FOemmd3q8Xp8c7T2aPsnc\nfUUTlZWRqpu+dqbuXv++fvH7bZJE8EHcCxp6lixZohdffFHbt2+XJC1YsGB4CAEAAIgNzUk6rjqg\nMDddRxxdGnR7lZoS8tnrYdXW2Se3xxe3S9uOdfqsYt197Wd164Nv6//+YZt6+gY5vwdxLaSfCoWF\nhVq2bJmWLVtG4AEAIAY5hkYlJ8Ib7vHIzfbv63F195tWQ3Or/xmUJsgzqCrL0V3fO1f59nQ99vwO\nfVTbYnZJwLiN2ulZvHixDMMY8RBRwzD0t7/9LaKFAQCA0DUPh57kXN6Wk2WTJLm6B1SYa86fQdNw\nty1xnsG0ilz98Ouf0S0PvKUH//CBHrrlgqQblIHEMGroycrKUm5uri677DItWbJEVqt1xAAEAADM\n50jAN9xjkRsIPV0DptUw/AwKEqPTEzCnqkAXfGaK/ue9Q6rZ2aSz5pWZXRIwZqMub9u4caNuvvlm\nffTRR/rmN7+pJ554Qr29vaqsrFRlZWU0awQAAEEElrcVJekgg5yh5W0dJi5vc7Qn7jO4+HPTJUkv\nvL3P5EqA8Rk19BiGocWLF+uee+7Rhg0bNH36dF111VV68skno1kfAAAIgaO9R7nZNqXbQjtWItHk\nZvs7PR0mdnpah0Zmm7W8LpKmVeTqlKkF2r7XIWdHr9nlAGMWdJBBbW2tHnroIf3617/Weeedp8WL\nF0ejLgAAECKfzydHW2/SjquWpNws8zs9TlefUqwW2TNTTashkpaeMUk+n/T29nqzSwHGbNRfBz35\n5JPasGGD0tPTtXLlSj3zzDPKzEysNaoAACSCjq4BDbi9STu5TTp+kIFZWjv6VJCbLsNIzI3+554+\nSY9u2KE3tx3WJYyvRpwZNfT85Cc/0dy5c5WXl6fXX39dr7/++vDHDMPQL37xi2jUBwAAggic0ZOs\nk9skKSfb3EEGHq9P7Z19ml2VuEd75NnTdPqMIm3b41Cjs1tlhVlmlwSEbNTQc9dddx33m4pjJ7cl\n6m8wAACIR4EN9Ml6MKkk5WQO7ekxaXlbR1e/vD6pIDfdlPtHy5IzKrVtj0NvbjuiK5bPMrscIGSj\nhp7LLrssmnUAAIBxCoxKTuY9PdahvTRmDTIIbO4vzEns0LP4tHL98k/b9dYHhB7El6CDDAAAQGwL\njKtO5k6PJOVkpcllUqcnMLmtIMFDT3ZGqk6fWaQDDS41t/aYXQ4QMkIPAABxjj09fjlZNnV2D8jr\njf5h6q2uwLjqxA49koYPJ31/Z5PJlQChGzX07N+/P5p1AACAcXK098qWah2eYJascrNt8vqkrt7B\nqN/bGej0JEHoOfOUUknSe580mlwJELpRQ8+NN94oSbr66qujVgwAABi75lb/GT3JPmgoN3vorJ6u\n6C9xCwyTKM5L/CWGJfmZmlqeow/3tqi33212OUBIRh1k0NfXp5dffln19fV644035PP5jvthunTp\n0qgUCAAARtfX71Znz4BmVOaaXYrpzDyrp7mtR4YhFeUlfqdH8i9xO9CwRx/scejs08rNLgcIatTQ\nc8MNN+ipp56S0+nUY489dsLHCT0AAJhvuMOQ5EMMJJM7PW29yrenKTXFGvV7m+Ezc0v1h4179P4n\njYQexIVRQ8/y5cu1fPly3XXXXVqzZk00awIAACE6OrktuYcYSOZ1ejxen1raezVjcl5U72umWZPz\nlWdP03ufNMrj9clqSe6llYh9Qae3rVmzRm1tbXr99df1+uuvq62tLRp1AQCAEDC57ajcrKFOT5TH\nVre5+uTx+pJqZLjFYmjxqeXq6BrQJ/ucZpcDBBU09Lz11lv6whe+oN/85jf6zW9+oy9+8Yt6++23\no1EbAAAIguVtR+VkD3V6onxAabJ2286d71/WtvnDepMrAYIbdXlbwM9//nM9+eSTqq6uliTV1tbq\npptu0mc/+9mIFwcAAE5uuNOTl1xvuEcy3OmJcuhJ1mdwWnWRsjJSVbOr2exSgKCCdnrcbvdw4JGk\n6upqud2MJwQAIBY42nqHpoYl1xvukQQ6PdFe3jYcegqSq9tmtVp06vRCNTi7h7tdQKwKGnry8/P1\n9NNPS5J8Pp+eeeYZFRQURLwwAAAQnKOtRwU56UqxBv2/9ISXlmpVus0a9UEG+450SJKqynKiet9Y\ncGp1oSRpx74WkysBTi7oT8g777xTTz31lE477TTNnz9fTz31lO68885o1AYAAE7C4/WppaMvqTbQ\nB5OTnSZXlEdWf3q4XfbM1KTb0yNJp1YXSZI++pTQg9gWdE9PVVWV/vjHP6qrq0uSlJ2dHfGiAABA\ncM6OXnm9vqTbS3IyuVk2HWhwnXCoeqR09Qyo0dmjBbOKo3K/WDOtIldZ6SnaUcsEN8S2kHvh2dnZ\nBB4AAGLIocZOSdLkMrvJlcSO3Ow0Dbq96u2Pzv7j2sP+pW0zKpPnjJ5jWS2G5k0vYl8PYh4LgAEA\niFOBvSTTK3JNriR2RPuA0tojyR16JOm0GezrQewj9AAAEKf21fvfcE8j9AyLduipb/Ev/68sTd7V\nMOzrQTwg9AAAEKf2H+mQPTNVRXnpZpcSM3KzA2f1RGeYQb2jW5JUVpgVlfvFIvb1IB4EHWRQW1ur\nhx9+WHV1dcPn8xiGoT/96U8RLw4AAIysp29QDc5unVZdlJQb6EeTO9TpidYBpfUtXSrKy1BaqjUq\n94tFgX09733SKEdbr4qTcIodYl/Q0HPDDTfoC1/4gi6//HJZLP7GED9cAQAw1yf7W+XzSbOm5Jtd\nSkwJdHpcUTigtG/ALWdHn+bPKIr4vWLdaTMK9d4njdqxr0XnL5xsdjnACYKGHp/Pp+985zvRqAUA\nAIRo+16HJGnBzGKTK4ktOVHs9DQ6eyRJFcXJu58n4Nh9PYQexKKge3oWLFigXbt2RaMWAAAQog/2\nOGRLseiUaQVmlxJTcrKjN8igYWiIQXkS7+cJmFaRq8z0FH28j309iE1BOz3bt2/XM888o2nTpslm\n8/8gYU8PAADm6ejq14EGlxbMLJYtifeSjCQ3a2iQQRSWtwU6PeVFmRG/V6yzWgzNmVqgrbua1ebq\nU34OwzUQW4KGnjVr1pzwGnt6AAAwz966dkmiyzOCzPQUpVgNuaKwvK2t0x+seIPvd+r0Qm3d1axP\n9rfq3NMrzC4HOE7Q0LNo0SJJUk+P/7cZmZn8NgMAADPtOdQmiSEGIzEMQzlZaVHp9LR39kmS8u2E\nHkmaO23okNLaFkIPYk7QPT2HDh3SFVdcoUWLFmnRokX6yle+orq6umjUBgAARhAIPTMn55lcSWzK\nzbapvbNfPp8vovcJdHry7GkRvU+8mDUlT9kZqXr7w3q5PV6zywGOEzT03HHHHbriiiu0fft2bd++\nXatWrdIdd9wRjdoAAMDf8fl82nOoXaUFmcPjmXG88qIs9Q141Orqi+h92jv7lZmektRn9BwrNcWq\n88+crPbOfr3/SaPZ5QDHCRp6Wltb9eUvf1kWi0UWi0WXX365nE4mcwAAYIbDzV3q7BnQ7CqWto2m\nssQuyf9nFUntXf3KI3ge56JFVZKkje+xKgixJWjosVqtqq2tHf73ffv2KSUl6FYgAAAQAdt2N0uS\nzpjF+TyjqSzxn5tzxBG50OPx+uTq6mdp29+pKs/RtIocbd3dpK6eyA+TAEIVNL1cf/31uvLKKzVn\nzhxJ0q5du7R27dqIFwYAAE60bc/QoaSzSkyuJHYFQk8kOz2u7n55fQwxGMnnFkzS+j/v1OaPGnTh\nUOcHMFvQ0LNkyRK9+OKL2r59uyT/YaUFBYzIBAAg2nr6BvVRbYsml9pVlJdhdjkxa1LxUOhp6ozY\nPdoZYjCqJWdUav2fd+qtbUcIPYgZIa1TKyws1LJlyyJdCwAAOImX3zmo/gGPlp4xyexSYlpmeqoK\nc9NVF8FOD5PbRldakKnZVfn68FMHB5UiZowaeq6++mqtX79eixYtOuEwUsMw9Le//S3ixQEAAD+v\n16cNb9Yq3WbVF8+dZnY5Ma+iKFs79rVoYNAjWwSmqwU6PfmEnhEtOWOSdh9s09vb63Xx56abXQ4w\neui59957JUlPP/30CR/7+xAEAAAiq7mtR86OPn1uwSTZM21mlxPzygoz9VGt1NTao8ml9rBfv83F\nwaQnc85pFfrVczv0wR4HoQcxYdTpbaWlpZKkv/zlL6qsrDzunz//+c9RKxAAAEiHhvanVJWH/w18\nIiovypIkNTi7I3J951DoKcgl9IykKC9DxfkZ2n2oNeKHxAKhCDqy+qWXXgrpNQAAEDmHGv2hZ0pp\njsmVxIeyQn/oaWyJTOhp7fCHnkL2q4xq9pR8dXQNqNHZY3YpwOjL2/7617/q7bffVnNzs9auXTuc\n0ru6InvQFwAAONGhRpckqaqMTk8oygsj3Onp6JXFYiiXw0lHNWdqgd7eXq/dB1uHO2+AWUbt9KSm\npiozM1MWi0WZmZnD/1RXV+vBBx+MZo0AACS9Q02dsqVYVFrIm8dQlA29yY5Ul6HV1acCe5osFvY5\nj2Z2Vb4kadfBNpMrAU7S6TnrrLN01lln6cILL9Ts2bOjWRMAADiG1+tTXVOXKkvssvImOyTZGamy\nZ6aqIQLL27xen1pdfaqelBf2ayeS6km5SrFatPtgq9mlAMHP6Zk9e7beeust7dq1S/39/cOvX3vt\ntREtDAAA+LV09Gpg0KPKkmyzS4krFcXZ+rSuXYNur1JTgm5jDllnz4DcHh9DDIJITbGqujJXn9a1\nq2/ArXRbSMdDAhER9CfAvffeq8cee0yPP/64mpub9bvf/U4HDhyIQmkAAECSGhz+bkVFMaFnLKaU\n2uXx+lTfEt79yK0uhhiEanZVvjxen2oPd5hdCpJc0NDzxhtv6LHHHlNRUZHuvPNOPfPMM2pvb49G\nbQAAQNKRoTftk4rZzzMWVeX+SXeByXfh4uxgXHWo5lQVSJJ2HWCJG8wVNPTYbDalpqbKMAwNDAyo\ntLRUTU1N0agNAABIOuLwhx46PWMzZehQ0oNDk+/CxdHeK0kqJPQENXUoeEZqih4QqqCLK7Ozs9XT\n06MFCxbo1ltvVXFxsdLTQ/tL3tDQoJtvvlmtra0yDENXXHGFrr76arW3t+v6669XfX29Jk2apPvv\nv185OZw7AADASOoDy9sY+zsmU4bGe4e703OkmRAaqvyhJYCB7hhglqCdnvvuu08pKSm65ZZbVF1d\nLYvFol/84hchXTwlJUVr1qzRSy+9pN///vd68sknVVtbq0cffVTnnHOOXn75ZS1evFiPPvrohL8R\nAAAS1RFHl3KzbcrOtJldSlwpyElXVkaq6prCG3rqmv3Xm1zCmUnBZKWnyJZiUVsnoQfmCtrpKS4u\nluRf5vb9739/TBcvLi4e/vqsrCxVV1erqalJmzZt0hNPPCFJuvTSS3XVVVfpBz/4wVhrBwAg4Xk8\nXjW19mjWZMYjj5VhGCovytKhBpd8Pp8MIzzjvg83daogJ01ZGalhuV4iMwxD+TnpanMRemCuUUPP\n2rVrdfPNN+u666474WOGYYTc7Qk4fPiwdu7cqfnz58vpdKqoqEiSVFRUJKfTOcayAQBIDo72Xnm9\nPpVxKOm4FOdl6NO6drm6B5SbnTbh6/X1u9Xc1qv5M4rCUF1yKMhJ1+6DrfJ4fZwzBdOMGnrOPPNM\nSdJ55513wsfG+puS7u5uXXfddbrtttuUnX38+lfDMEK6Xk1NzZjuifDjGcQGnkNs4DmYL1mewf4m\n/2/Ivf0dMfk9x2JNx/IN+JeivbF5qyYVTnx5YH3rgCQpzeiNqe89lmr5e4anV16f9Nbm92XPsJpd\nTsTE8jPASULPsmXLJElnnXWWKisrx32DwcFBXXfddVqxYoWWL18uSSosLJTD4VBxcbGam5tVUFAQ\n9DoLFy4cdw2YuJqaGp5BDOA5xAaeg/mS6Rm0vntQUosWzKvWwoVVZpdznHh4DnVdtXpn9w4VlVVp\n4fyKCV+vY8shSc1aeOp0LVw4feIFhkGsP4cthz7UJ3X7NXnqLFVXJuYyzVh/BsniZMEz6CCDr3zl\nK/r617+uDRs2qL+/f0w39vl8uu2221RdXa2vf/3rw68vW7ZMzz77rCTpueeeGw5DAADgeE2tPZKk\n0sJMkyuJT8X5GZKOjpmeqO17WyRJc6cXhuV6yaBgaIJbW+fY3kcC4RQ09Lz++uu6+uqrtXHjRi1d\nulQ/+tGPtHXr1pAuXlNTo+eff17vvvuuVq5cqZUrV+rNN9/UNddco82bN+uiiy7SO++8o2uuuWbC\n3wgAAIloOPQUsKdnPIrzhkJP28RDj8/n07bdzcqzp6mqjKM2QpVvZ2w1zBd0eltKSoqWLVumZcuW\nqb29Xffdd5++9rWvaefOnUEvfuaZZ2rXrl0jfmzdunVjLhYAgGTT1Noji8VQEQdhjsvRTk/PhK91\nsLFTbZ39Om9hpSxsyA/Z0U4PoQfmCRp6JKm9vV0vvPCCnn322eGhBAAAIPKaWrtVlJchqzXo4gyM\nIDcrTakpFjWHodOzbXezJOmMWSUTvlYyKcyj0wPzBQ091157rbZs2aLly5frtttuY5MWAABR0j/o\nUaurn/HIE2CxGCrOy1CTc+Kdnq1DoWfBrOIJXyuZHF1iOPFnAIxX0NDz+c9/Xv/xH/+h9HTa6gAA\nRFPz8H4ehhhMRHlRlup3Nau7d3DcB4r2D3r08T6nppbnDC/XQmgy01OVlZ6iljANkwDGI2iv/JJL\nLtHWrVv1xBNPSJJaWlq0f//+iBcGAECyayL0hEX50MGuDc7ucV9j536nBt1eujzjVJyfGbYJesB4\nBA09jzzyiB588EGtX79ekv/cnTVr1kS8MAAAkh2hJzzKi4ZCT8v4Q0/t4Q5J0ilTg58tiBMV5WWo\np8+t7t5Bs0tBkgoael588UWtW7dOmZn+H7jl5eXq6uqKeGEAACS7ZsZVh0XZUOhpnECn50CjS5I0\ntZxR1eMR2NfDEjeYJWjoSU9Pl81mi0YtAADgGBxMGh7Dy9sm0Ok52OBSms2q0kIC6HiE+5BYYKyC\nhp7y8nJt2bJFkuTxePTQQw9p1qxZES8MAIBk19TaLVuKRfn2NLNLiWtlhZkyDGnPobZxnRXj9nhV\n19E9jQ8AACAASURBVNSpKaV2WTmfZ1yK8gg9MFfQ0HP77bfrl7/8pfbu3avTTz9d7733nn74wx9G\nozYAAJJaU2uvivMzZRi80Z6I1BSrzphVooONnbrxF2+OeYnVEUeX3B4fS9smgLHVMFvQkdUlJSV6\n/PHH1dvbK4/Ho+zs7GjUBQBAUht0e9TZM6BpFbzRDofbv7FIT/3Pbv1h4x5dd99r+sqFs3XxZ6eH\nFCgPNrCfZ6IC+9LCcV4SMB4nDT1dXV3asGGDPv30UxmGoZkzZ+riiy8m+AAAEGFtrn5J4kyYMElN\nsejKf5wje2aqfv8/e/Sr53bo3R2N+tYlp2paRe5Jv/bAUOipIvSMW0FuulKsFjW2jn9fFTARoy5v\na2pq0sUXX6wXXnhBKSkpslgseu6553TxxRerqakpmjUCAJB0Wof2nuQTesLGMAytXDpDD928TAvn\nlOjDT1t0+39uDjrV7QCdngmzWgyVFmQMD+cAom3U0PPggw/q0ksv1VNPPaXbbrtNt99+u37/+9/r\n8ssv14MPPhjNGgEASDqtHf7QQ6cn/PJz0vXjb5+t714+X67uAf3k/72rnr7Rz4852OBSvj1NudkM\nlJiI0oIsdXQNnPTPGoiUUUPPli1b9N3vfveE16+55hq9//77ES0KAIBk1+YKhB7eaEfKF8+Zpn/6\n7DQdauzUvU/UyOP1nfA53b2Dam7rZWlbGARGr9PtgRlGDT0pKSlKTU094XWbzTbi6wAAIHxaO/17\neljeFlnfWnGqzphVrC07m/S7V3ad8PGDHEoaNmWBYQaEHphg1NBjtVpH/aKTfQwAAEzc0U4PoSeS\nrFaLbr76MyrOz9DTm/bqcHPncR9nclv4BDo9wfZQAZEw6vS2PXv2aPHixSN+rLOzc8TXAQBAeLQO\nhR4OJo287IxUffuSU3XXuvf19KZP9c9fOWP4Y/uZ3BY2U0rtkqSDDbyPRPSNGnpeeeWVaNYBAACO\n0ebqV0aaVZnpLCmPhkXzypWVkaqP9zmPe/1gg0sWQ5o89IYd41dRnC1bqlX76jvMLgVJaNTQU1lZ\nGc06AADAMVo7+5RnZ2lbtFgshuZU5atmV7PaXH3Kz0mXz+fTwQaXKoqzlZbK0v6JsloMTS23a98R\nlwbdXqWmjLrLAgg7/msDACDGeLw+ubr6WdoWZadMK5AkfXKgVZLkaO9Vd5+bpW1hNK0iV26P94S9\nU0CkEXoAAIgxru5+eX1SHqEnquZOLZQkbdvdLEn6ZGipW/Wk3P+fvfsOb7O+9gD+fSXZ8p7y3nsk\nzrCdHZzByoAQCNDSFmigZbXctnA7oKVcLqWlXMpoC7QUyp5lhE1CEsh2POLEiffeS7blKdla9w9Z\nJoF4S3ol+ft5njwP0Xh1HCH5Pe/v/M4RLSZnEz/2b1nTzBI3sq0Jy9uIiIhIHKqxdtV+HIZpU6mx\nAQgJ8MDu3AaU1/egod20GrEqI0zkyJxHWqxpNa2grAMXLY8WORqaTyZMer766isIgjDhE9etW2eV\ngIiIiOa78aSHe3psykUmwQ1b0vB/rxaOJzxhgZ6IDGYTA0uJDfNBZLAX8kvbMazRslEH2cyESc/z\nzz8PABgdHcXp06eRnJwMwNTKetGiRUx6iIiIrEQ1aE56uNJjaxcsiYBUKkFvvwavfV6Oqy9MEjsk\npyIIAnKWROD1PRU4XtKODVlRFjt2V68aWp0e4UFeFjsmOY8Jk55XXnkFAHDXXXfh3nvvxeLFiwEA\nxcXFeOmll2wTHRER0TzE8jbxCIKANYvCAQBb18RNWvVCs5OTGYnX91TgYFGLxZKeg0XN+OvbJ6HV\n6rEtJwE7L1sAiYTvHX1tykYGlZWV4wkPACxatAiVlZVWDYqIiGg+Myc97N4mLiY81hER5IWESF8U\nVXSif2h0zsc7VNSCR18rhFQiIDTQE7sO1ODBfx9HcXWXBaIlZzFl0uPu7o5du3aN//3DDz+Eu7u7\nVYMiIiKaz1jeRs4uZ0kk9AYjPjlcO6fjFJR14C+vF8JdLsNDt6/BX36Wg9QYfxSUdeC3zxzFn1/O\nh15vsFDU5Mim7N72pz/9Cb/61a9w3333AQCSk5PxyCOPWD0wIiKi+YrlbeTsLlkRjY8O1eDNvZUI\n8vfAhcuiZryy1tuvwV9eK4RUKsHvb16JxEg/AMAjd16A8vpe/PujMzh8qhVeHq64Y8cih1i5a2jr\nx4uflKKlaxA6vQHbcxKwLSdB7LCcwqRJj16vR2FhId577z0MDg4CALy8uDmMiIjImlQDI3BzlcJN\nzskS5Jy8PFxx9/ez8D/P5eLJt4pQUN6BH21bCIXf9KuJ/vF+MQbVWtx6ZQYWxAeO3y4IAtLiAvDA\nLatwz1NH8Pmxevh7y3HdJSl2m/h09g7j4ZfyUdWkAmBa5R1Sa/Hq5+XYuCwaXu7scjdXk5a3SaVS\nvPXWWwBMyQ4THiIishdanQGldd2oaOgROxSLUw1qWNpGTm9hggJP/3Ij0uMCcORUK378x70oGRsI\nO5W9eY04WtyG9LgAbFkdd97HeLi54Pc/WoHgAA+8sacC7+yvsmT4FqPTG/DbZ46gqkmFzNRg/Hbn\ncrzyP5tw3SUpUI/o8PmxerFDdApT7ulZsWIFPvvsM1vEQkRENC2n64dx0x/24Nd/P4z//ushvLG7\nHEajUeywLMJgMEI1OMrSNpoXggM88NDta3DHjkXQ6Q149v3T0BvO/1luaOvH8x+ewR2P7MeTbxXB\n1UWK//rO0km7tAX6uuPhO9bCx9MVHxysmfDYYjp2ug3t3cO4dGUMHvjxKqxcaBqGu3lVLCQCkF/a\nLnKEzmHKdfP33nsPL7zwAn7zm9+MNzAQBAHHjh2zenDkXPR6A555rxhtyiFEhZgGvaXFBmBdZqTI\nkRGRozAajfjPviq8e7QH7nIptqyORUF5J17fU4HegRHcetUiSB28Te3A8CgMBiNXemjekEkl2Lw6\nDmX1PfiysBlfFjThouXR4/e3Kgfx4selOHa6DQDg5ipFdloIbtiShohpzOQJ8nfHigWh+CKvEVWN\nvUiNDbDazzIbnxypAwBcuT7xnNu9PFwRG+aLqiYVtDoDXGRTrlXQJKZMet59911bxEFOzmAw4pn3\nirE7twEAUFytBGD6oL+xpxwLExS4emMSQgM9xQyTiOzcp0fr8cpnZfD1kOKhn+QgJtQHXb1qPPjv\nXHx2rB4jWj1+es1iuMikYoc6a193bnMTORIi27p+czqOnGrFK5+VIjstBO09Q3j5kzKcrjGdM6TF\nBuCKdQlYnh4y48/48rGkJ6+03a6Snt5+DUpqu5GRoDhvApca64/a1j7UtqiQEmM/cTuiKZOeyEhe\nhae50esN+OvbJ7G/oAlx4T544Mer0N2vgWZEhzf2VKC6WYXduQ3YX9CEO3YsPufqDhGRmd5gxHtf\nVcPVRYqbLglCTKgPANNV3D/dsRb3/fMo9hc04UyNEsEBHnBzlSE5yg9avQErF4YhOdpf5J9geti5\njearIH937NiYhDf2VODGBz6HuRJtSXIQ1i2NxIbsqFmv5C5JCoJMKuBUlX3N7jlR0QkAWJYect77\n02ID8OnRepTV9zLpmaMpk57W1lY8+uijKCsrw8iI6YtYEATs27fP6sGR49PrDXjk1QIcLW5DcrQf\n7v/RKvh4usLfx3QF86HbFdAbjDhY1Ix/7TqNp989heRoP0SPncwQEZnllbSjs8dU9+7roT/nPk93\nFzx0+xq8+HEJvixsQmevGoBphgcAvP9VDZ7+1UaEKex/NXk86WF5G81D37k4BV4eLjhwohmBvu64\nIifhnM5ss+UmlyEmzAd1rf12VSpWWG5KerJSg897v3lVqry+B1jH1tVzMWXSc++992Lr1q0oKyvD\no48+ijfffBNRUVG2iI0cnNFoxFPvnMLR4jZkJChw380r4H6e9qtSiYANWVFwc5Xhjy/m4f5nj+GB\nW1Yx8SGic3yRZyqP3bomDj1t1d+6310uw+07FuO2qxZBbzCiuXMQnT3DaO8Zwr92ncHzH57B725a\nYeuwZ4yDSWk+k0oEbLsgAdsusPwJflKUP2qa+9DQ3j8+00dMer0BRRWdCPJ3H9/r/E0hAR7w95aj\nrL4HRqPRbltuO4Ip09ze3l5cc801kMlkyMzMxMMPP4wDBw7YIjZyIC9+XIIbH/gc//dqAf73+Vzc\n+/QRPPjv4/girxGJUX743U3Lz5vwnG1VRhh2XpYOZZ8Gj79Z5DSdmIho7noHNCgs70RipC/iwn0n\nfawgCJBJJYgN88HyBaG4fG08FsQH4nhJO06MXVW1ZyxvI7KOpChTomOehSO2ykYVBtVaZKYET5jM\nCIKA1NgA9PRr0DW2gk2zM2XS4+JiGobk4eGBlpYWaLVa9Pb2Wj0wchxVTb1476tq9PSP4GBRC/JL\nO3CmVon80g7Ehvngf360Eh5u0xuqddWGJKxZFI7qJhWOl7BFIxGZHDjRDIPBiAuXzXzPnyAIuPXK\nDEgE0zDDYY3WChFajjnp8edKD5FFjSc9jfZxHltYbiq/zUo9/34es7SxEreyeuebSWZLU5a3LVu2\nDL29vbjuuuuwY8cOuLi4YNOmTbaIjRyAwWDEP987DaMRePDWVQgN9IREEOAik2BQrUVEkNek/fPP\n57pLU3CkuBUfH64d71VPRPOX0WjE3rxGyKQCcpbOrrlOXLgvrlyfiHe/rMZDL+ThZ99dimB/DwtH\nahksbyOyjugQb8ikAhrbB8QOBQBQUN4BmVTA4iTFpI9LO2tfD8d8zN6USc+vf/1rAMD27duxbNky\nDA4OIiUlxeqBkWPYm9+IisZerF0cjiXJ527CMzcrmKmYUB+kxQaguFqJ7j41An3dLREqETmompY+\nNLQPYFVGGHw8XWd9nOs3p6GxYwD5pR24/c/7sTAhEMvTQrB1bbwFo5071YAGrjLJlCXBRDQzUqkE\noYGeaO4aFH1/THWzCjXNfchOC5myGiYh0hcyqQTlDVzpmYsJy9uqq6u/9UetVkMqlaK6+tsbSGn+\nGRgexUuflMLNVYqbty206LHXZ0XCaAQOFrVY9LhE5Hj2FzQBAC6aRWnb2aRSCe67aQV+cV0mPNxk\nOFHeiec/KsHA8KglwrQY1cAI/Lzl3LBMZAURQV4YUmvRNyju5/7TsYGkW9fETflYF5kUiZG+qG3t\nh2ZEZ+3QnNaEl5FuueWW8f9ubW2Ft7c3BEFAf38/wsPDsX//fpsESPZpRKvH42+cQP/QKG7cmg6F\nn2VXY9YsCsc/3yvG0eLWb00oJqL5Q6sz4KvCZvh5yZE5QUvXmRAEARuzo7BuaQTe3luJ1/dUYF9+\nI7avs4/vGaPRCNXgKOIj2L2SyBoig71wvARo6RoUrYS0s2cYXxY2IUzhicyU6X2vpcYGoLyhF1VN\nKmQkTl4OR+c34UrP/v37sX//fmzYsAGPP/448vPzkZeXhyeeeAIbNmywZYxkR0a0epyq7ML9zx5D\nfmkHFicpcEWO5dtK+nrJkR4fiIrGXvT2ayx+fCJyDHkl7RgYHsX6rEjIpJabqyGVSrB1bTxkUgm+\nLGi22HHnakithU5vgJ/X7MqDiWhyEUFeAIDmzkHRYnhjTwV0eiOuuyRl2vuezft6Suu7rRmaU5vy\nN0heXh42b948/vdNmzYhPz/fqkGR/TEYjdhf0Ijb/rQXv/vnUZTUdmPt4nDc/6OVVhvwtXJhGIxG\nIK+UXdyI5iOj0Yh3v6yCIACXrIix+PF9PF2RHheA2tY+9A/ZR4lbLweTEllVRLAp6WnpEifpaeoY\nwP6CRkSHes+oMUt6nGlAa3GV0lqhOb1pna2eneQUFBRwfso8tP9UPx5/owj9Q6O4bG0c7vpeJv77\nB9lwkUmt9porFoQCAHLPMOkhmo9OVXWhqkmFVRlhEw7um6uFCaYykZJa+ziRYOc2IuuKDDZ9lzR1\niNPB7c09FTAYgR9sSoV0Bt1t/bzliI/wRWldD/f1zNKUrWHuv/9+/OIXv4CHh6m1p0ajwV/+8her\nB0b243S1EodLBxAW6Ik/3L7aZm1eQwM9ERvmg5OVXRjWaKc964eInMPbe6sAANdsTLbaayxKVOD1\n3cDpmm6sygi32utMFweTElmXj6crAnzkqG/rt/lrj2j1yD3Thshgr1mN5MhMCUZtSx9O1yixLD3U\nChE6tylXerKzs7Fv3z48+eSTePLJJ/HFF18gOzvbFrGRHThV1YUH/50LiQD8/Drbz7VYuTAMOr0B\nJyrsf4o6EVlOZWMvTtcokZkSjMSxgYLWkBztB7mrFAVlHXZRxaBieRuR1cWG+0KpUmPQxp0bT1cr\nMaozYMWC0Fl1Z1yaEgQAKK62j5VpRzOt8ja9Xg+5XA6ZTIbGxka2rJ4HhjVavL23Er//51GMag24\nek3AeD2pLa1cOFbidpolbkTzSV6J6TO/ZXWsVV/HRSbFigWhaFMOoapJZdXXmg6WtxFZX1yYqTui\nrVd7Cso6AABZaSGzen5ipB8EAaht6bNkWPPGlOVtr732Gh599FH4+vpCIvk6R2LLaueVe6YNj7xS\nAK3OAIWvG3594zIMKetEiSU+whdB/u4oKGuHTm+waPcmIrJfp2uUkAhf77mxpnWZkThY1IIDRc1I\njva3+utNhuVtRNYXe1bSY4vvGLNTVV1wl8vGO7HNlIebC8ICPVHb0if6cFVHNGXS8/zzz+Pjjz9G\nRESELeIhkdW39ePJN4sgCAKu3piE7esS4OslR6FISY8gCFi5MAwfHarFmRolliTPfU4HEdk3zagO\nlY29iI/0g6e79ffyLU0OhrtchsKyTvz4Cqu/3KTMSY8/V3qIrCY23BcAUNNsuxWTYY0WLV2DyEhQ\nzOkCblyEL46cakWXSm3zLQeObsp/9eDgYCY880R5fQ/ueuIABtVa3HplBm7cmg5fO7jayC5uRPNL\nRUMvdHojMmx0BdZFJkFabABaugbRN1ZeJhbVoAYyqcQmyR7RfBUV7AU/LznySk1VJLZQ09wHoxFI\nmuMexfixhK2OJW4zNmXSs3r1ajzyyCMoKSlBdXX1+B9yLnqDEc+8WwytzoDf3LjMKjMxZmtBfCC8\n3F2Qe6bNLjYaW4NmVIeqpl7oDUZodbb5AiayV+Y6+6RI6zUw+Kb0+LHBf3XiDv4bGNLCx9OFZStE\nViSVSpCzNAL9Q6MoslGjJPOewbk2ZomPMCU9ta227z7n6KYsb9u1axcA4PPPPz/ndu7pcS4Fpe2o\nbe3DxuworFkkftvWs8mkEixLD8GXhc2oblYhKUrcmntLMxqNeOiFPJys7IKrTAK5qwzP/HqjXayy\nzUeF5R1QqtQIDfREelyg1Ybv0sTM8zMiQ7xs9prmRi0ltT2itq4e0mjh4+kq2usTzRfrsyLx4aFa\n7M1vtEn756qmXgCmZgRzERNq2o/U0M6kZ6amTHqY3MwPJyu7AFhn6rklrFwYhi8Lm/FlYbNTJD16\nvQGfHatHfmkHdHrDePvJUZ0Bo7pR7MtvwlUbEsUNch4qq+vBA8/lwrygmJGgwB9uWw3JDAbI0dw1\ndw5CEICIINslPcnR/nCVSURvjz+s0SEs0FPUGIjmg8RIP8SF+yD3TDu6+9QI9HW36utVN6vg7eGC\nkIC57cNR+LnBXS4TbbiqI5v2Jczu7m60traO/yHncqpaCbmrVPTORRNZlh4KhZ87duc2jG/0dVTq\nER0eeC4X/3z/NE5UdKK4Won4cF+8dP+leP3BzXCRSbDneIPTlvLZK82oDk+8eQIA8MOt6ViYEIjT\nNUrszW8UObL5p6VzECEBHnB1kdrsNeUuUixNCUZTxwCaO8U5mRjV6qHTG+DuNuX1SCKaI0EQsGV1\nHAwGI77Is+73/MDwKNq7h8daTs/tIpogCIgO8UZr16DN9iM5iymTnmPHjmHdunXIycnBpk2bsHHj\nRuzYsWNaB7/nnnuwevVqXH755eO3/e1vf0NOTg62b9+O7du34+DBg7OPniyit1+Dpo4BLLDjUh4X\nmQQ7NiRiVKvH7tx6scOZk5c/LUVRZRey00Lw799dglcf2IQn716PAB83eHu4Yu3icLR0DeLY6Tax\nQ5039AYjnvvgDFqVQ7giJwE7Nibh7u9lwdVFinf2VzEBtaGB4VGoBkcQGext89devcg0IV2sz96w\nRgcA8HRjEwMiW8hZGgGJ8HW1i7VUj+3nSbLQheXoUG/o9Ea0dg1a5HjzxZRnuI888gheeOEFJCUl\n4dSpU3jwwQdx7bXXTuvgO3bswHPPPXfObYIgYOfOndi1axd27dqFnJyc2UVOFnOyyvRhX5Rou171\ns7EhKwouMgkOnmwRO5RZGdXqsetADT4+XIeQAA/c+8PlCPJ3/9benWsvSoZEIuDVz8ugN/Bk29I0\nIzq8/GkpfvvMETz2eiH++lYRbnt4L3bnNiAy2As/2JwGAFD4uWPt4nC0KYfw+bF66HlFzSbG9/ME\n2660zWx5eihcZBLszm0Q5QrqsEYLAPDgSg+RTXi4uSAmzAdVjb1WbSI03sTAQs1ZokJMF4WaOpj0\nzMS0LuvHx8dDp9NBEARcc801OHTo0LQOnp2dDR8fn2/dzqum9uVEuamGPTPVvmfgeLq7ICs1GI3t\nA2iw8RTluTIajXj8jRN4/sMzAIDvXpwy4apaZLA3NmRFoqljECfKO2wZptPr7dfgl387hP/sq0Jx\ntRJfFjbji7xG9A2OYmN2FB7+yVrIzyqpunh5NADg6XeLcfdfD4rezng+qGw0nRzEhX/7d4e1eXm4\n4tKVMejoGca+/Cabv/7QeNLDlR4iW0mLDcCozoDaFpXVXqO6eWylZ46d28yiQ01JTyP39czIlEmP\ni4vpyzc4OBj79u1DeXk5+vrm1hv81VdfxbZt23Dvvfeiv9+xTl6djcFgxImKTgT4uI1PKLZnOUsi\nAQD7Cmx/QjIXx0634fCpVkQEeeG+m1bgwmVRkz5+2wUJAICPj4gzFNYZ1bX24b//dgj1bf3YtCoW\nbz20BU/9cgP+evd6vPGHLfjFdZnfWnVbEB+I712SgqXJQahp7sM/3isWKfr540yNqanHwnhxVp6v\n3pgEqUTAp9P87BVXd+Hnj3+FE+Wdc76g93V5G1d6iGwlLdbUrr6svtdqr9HUMQBPdxcE+rpZ5Hjm\nJi8sb5uZKb9Zr7/+eqhUKvz85z/HXXfdhYGBAdx7772zfsHrrrsOP/nJTwAATzzxBB5++GH88Y9/\nnPJ5hYWFs35NmlhL9yj6h0axNN4DJ06cmPSx9vAeuOqN8JBL8PnRWqQHq+Eic4yuWm/uM5UQbl/u\nCammBSdOTF2iFx3kihPlnXjvs6OICf76ZNwe3gdHM6TR45nPOjCoNmB9hg9WxGpRVvJ1AtMzyRaO\nZAWQFOiKlg4Zjp5uxcEjefB0k/J9sAKD0Yjiqk74eUrRVFeGpinyDmu9BwmhclS29uHz/bkI8p14\n1aV3UId/ftYBjdaI+/91DAAQ6CPDimQvLIxxh4d8Zo0YyprUAIBuZTsKC4dm/wPYGD8L9oHvw+zo\nBk0XG3JP1iDKa26rPed7DwwGI9qUgwjxc5nyPGu6DAYjpBKgsr6D7/sMTJn0rF+/Ht7e3vDz88Pe\nvXsBAAMDs19OCwwMHP/va665Brfffvu0npeVlTXr16SJVX1RAaATl6xNR9biiAkfV1hYaDfvwVZl\nKf6zrwoqgwKbsmLFDmdKbcoh1HU0Y2FCIDZtXDnt53kG9uCXfzuE/Wc0ePwXK+Eik9jV++Aoyht6\n8PxbJzGoNuCGLWm45sLkWR3n8qEaPP/hGfTqA+EJFd8HK6hr7YN6tAWrFkUhKytz0sda87MwIDTj\nL68VonvUD5uyUid83MMv50OjNWJjdhQKyjoQ7O+Oxo5BfFqgwr7iATx8x9oZDSJUGRoBdCMlMQ5Z\nWfY5PuCb+J1kH/g+zJ7RaMTzX3yGnmHJnP4NJ3oPOnqGoTe0ICkmxKLvUdj+PvQOjCAzM5PDjM8y\nWRI4ZXnbDTfcMK3bpquz8+sZCHv37kVy8uxOQMgyTpR3QiIAS5KCxA5l2rauiYOrTIK39lZCq9OL\nHc6UDo01XrhoWfSMnpcaG4BLV8agoX0A7+yvskZoTm9weBQPvZCH5s4BbFoVi6s2JM36WBuyIiGV\nCPiq0LFKKx2JeTL6YpG/j1YsCIWrixQHi5onLFnLK23HkVOtSI72w8+/uxSv/e9mPP6L9Xjutxfh\nmguTMDKqx+t7ymf0uuN7ety5p4fIVgRBQEKkL9qUQxhSay1+fHMJWniQZedvRQR5YUitRf/QqEWP\n68wmTHq0Wi2Gh4eh1+uhVqvH/3R0dECtVk/r4HfddRe++93voq6uDuvWrcM777yDRx99FJdffjm2\nbduGvLw83HPPPRb7YWhmBoZHUdHQg5SYAHh5OM4E8EBfd2xZEwelSo0DJ5rFDmdKBWUdkAjA8gUz\nn/i887IFUPi64a0vKlDXOre9dPPRi5+UQjUwgh9sSsNPrl4M6RyGjPp6ybE0JRjVzX1Q9lv+FyMB\neaUdEAQgS+SmKu5yGVYsCEWrcgg1zed+7obUWrz0SSkefikfri5S3HrlonOusvp7u+H6zWlIiw1A\nfmkH6mfQdMW8p8dDzj09RLZk7qpW22L537Nt3aZS1TCFZZMe8/Fau2ZXCjus0eJMjRLt3UPzpjvp\nhN+s//jHP/DUU08BAJYuXTp+u6enJ3bu3Dmtgz/22GPfuu3qq6+eaYxkJRUNvTAYgSXJjrPKY7Z5\ndSx2HajB0dNtuGi5/ZaB9A99nVh6zyKx9HR3wU+uWYIHnsvFk28V4ftrbd/G1xH1D43iREUnduc2\nIDrUG1euT7TIcdctjUBBWQdO1w/jUosckcwGhkdRVt+DlGj/bzWUEEPO0ggcOtmCA0XN4yVqPf0a\n3P3EASj7NPD3luPu72Wdd6CzIAi4cn0iyl7Mw+7cetx65aJpveZ4IwOu9BDZVEKE6TNe06JC4nwm\nIwAAIABJREFUhoXHd5iTknALJz3jzQyUg0iLC5jRc41GIx5+KR9FY/OJJBIBabEB+PX12fD3sUyz\nBXs0YdJz55134s4778QDDzyA+++/35YxkY2YVw7iwn1FjmTmwhVeiA71xsnKLqhHdHC30yujJys7\nYTACy9JDZn2M7LQQrM+KxFeFzThVJ8GyZRYM0InoDUYcO92KXQdqUNFg6sIjEYCfXr3EYkN3VywM\ng9xVitP1ahiNRtZRW9DpaiUMBiOy0mb/WbGkrNRgeLq74NDJFuy8bAEkEgGfHq2Dsk+Dyy+Ixw+3\npsPVZeJGBcvSQ+DnLcdXhc3YedmCSR9rxjk9ROJIiDKdB1U3WWGlR2le6bHsRUtz0tM0i7bV+aUd\nKKrsQnyEL6JDvNHUOYCS2m789h9H8Zef5djtOdVcTXkmYE54+vv7sXfvXpSXz6xGmexXQ5vpgyLG\nPAxLWLkwDFqdYXwfgD0qq+sBAGQkzO3K0Y1b0uEqk2B/cb9VB6g5qlblIP77yQP488sFqGzsxZKk\nIOzYkIhHf5Yz4ytgkzGXPfUM6saHzZFllI8lqukWfL/mwkUmxeqMMHT3aVBS1w293oC9eY3wcJPh\nhs1pUyYxMqkE6zMjMajW4lTV9Ka9m/cTcE4PkW2FBnjCw002Pk/Hkjp7h+HhJoOPp2W3EcSOnbvV\nzWJu4Vt7KyAIwN3fy8Td38/C4z9fhy2rY9HUMYCn3z3ltIPRJ0x67r77bpSVlQEAVCoVLrvsMjz+\n+OPYuXMn3n77bZsFSNZT39YHd7kUwf4eYocyKyvG9sgcL2kXOZKJlTf0QCaVICFybqtpCj/TPqYB\ntd4h9jHZitFoRFPHAB74Vy6qm/uwPjMSz/z6Qjx422r88LIFSIr6dunRXK3LNM2K2nO8weLHns/K\n63sgEWCV92y21i01vdcfHKjBn18pQHefBusyI+E2zaugy9NN31EnK6eX9AyPjO3p4UoPkU1JJAIS\nIvzQqhwcX3G1lK7eYQT5uVv0mADg7eEKhZ876ma4D6mqqReVjSpkp4UgOtSUOAmCgB9dkYHESF98\nVdiM/30+FwPDztcgYcKkp7S0FGlpaQCADz74AImJifjkk0/w/vvv49VXX7VZgGQdWp0BzZ2DiA71\ngWQOm7vFlBjph0BfN+SXttvlJjzNqA51rf1IiPSFi2xm8zrOZ9sFCZAIwAcHa+Y8BNEZFFd34dd/\nP4w7HtmPVuUQdmxIxN3fzxpf8reWrJRg+HtJsS+/EV2902vqQpPT6gyoblYhJszHrsoqMhIVSIsN\nwPGSdhw73YZFiQrcsCV92s9PjfWH3FWKosrprUYPq7WQSATIp1EKR0SWlRDpC6MRqGud+crJRIbU\nWgxpdAiy0sXl+HBf9A6MoHdAM+3nfHqkHoCpE+7ZXGQS/O+tq5GZGowT5Z148PnjlgzVLkyY9Mjl\n5w5DvPDCCwEAoaGhkEgsUx9P4unqHYbeYERsmGOWtgGmKzPLF4RiYFiL0rEyMntS09wHvcGI1BjL\nlOsE+bsjJdId9W39aGif/awsZ7C/oAm/feYoyup7kJ0Wgv+6dgmun8HJ6FxIpRLkLPCBTm/Ep0en\nmJ5J01LX2getzmCxz4qlSCQC7rx2CQJ93XDJihj8z49XwWsGTQZcZFJkJCjQ1DEIpWryBNlgMKK5\ncxAKP3fuFSMSQcJYBzdLlriZP/fWWOkBvt6eMN1EbWB4FAeLmhEW6Imlyd/ukunt4Yrf37wSOy9L\nH6+mcSYTZi+CIKCjowMajQZ5eXlYvnz5+H0azfQzSrJPwQEe+MHmVFxloa5WYjGXj5yww3095j0f\nydHTH044lQXRpi9O8+yf+chgMOLtvZWQSQX8339dgPt/tBIXr4iZUzvqmVoY4wFXmQT5pfZbWulI\nzL+wzScd9iQqxBsv3HcJ7rx2dg0xzN0xT06x2lPb2odBtRaL5rj/j4hmJyHCVIZeY8Gkp8uc9Phb\nK+kxxVw/zaRnX34TRnUGbF4dO2GVj1Qi4KoNSdixcfZz7ezVhN/gt9xyC7Zv346LL74YWVlZSEoy\n/fBFRUWIiIiwWYBkHTKpBN+5KAXhVi4FsraF8YGQSSVTlo9oRnV4+t1TuPVPe/Hnl/Nx5FSr1WMz\nd8eLj7Bcd7zkCDfIXaU4dLJl3pa4HTvThpauQeQsjRRtZcBFJiAjUYGG9gGWuFlAfZu5k6R9rjzP\nZeVl6VjSU1Qx+b6e4iolAGBxEpMeIjFEBHnBXS5FjQVn9XT2DgOA1crbIoJN53DmWUBTOXKqBRIB\n2JgdZZV47N2ESc/mzZvxwQcf4J///Cf+/ve/j98eHh6OBx980CbBEU3FTS5DelwAalv60Dc4MuHj\nHnv9BD47Wo8ulRqHT7Xi4ZfzcbpGadXYalv6IHeVWrRNpatMguXpoWhTDln0i9lR9PRr8PQ7p+Ai\nk2DHBnFXKbNSTa2VC8s7RI3DGdS39UMQgOgQb7FDsbioEG8E+LjhZFUXDJN0RDL/f2TpGSFEND0S\niYC4cF80dwxAM9ZUZK7MF8WsVd4WGmBKptqVUyc9vQMaVDT2Ii0u0C5moYlh0rX64OBgpKenn3OV\nKyQkBOHh4VYPjGi6liQHwWjEhG1h9+U34tjpNiyID8Sbf9iCP9y2GgDw7PunrdYAQavTo6ljAHFh\nPhYvu7pgienzd3gelrh9eqQO/UOjuGFL+njXGbGYy5bK6u1vP5kjMRqNqG/tR1ig57S7ojkSQRCw\nNCUI/UOjqGzqPe9jKht7UVytxIL4QAT6WufkiIimlhjpB4PRdCHGElqVgwCsV97mJpfB31uO1mms\n9HxZ0ASjEU65V2e62JGAHJ55M9752sLuOlCNJ94sgquLFD+5ejFcXaRYnBSEi5ZFo76tH5/nWqft\ncEP7APQGI+IsWNpmlpUaAne5DF+daJ5XM3uMRiMOnmyB3FWKTStjxA5nvBSC83rmpqdfg0G1dnzm\nhDNau9hUEn6g8Pzt5t/eWwkA+P6mVJvFRETfZh4vYYlmBnkl7Tha3IbQQA+rXswIU3hC2Ts84flA\nT78Gj7xSgBc+LoXcVYrVi+bvwgWTHnJ48RG+8PZwxRd5jfjHe8X4v1cKcKZGiYb2frz0SRkCfOR4\n7Gc5iDqrdOaGrWnwcJPh1c/K0D9k+V701WMnwglWSHpcXaS4aHk0uvs082pmT01zH9qUQ1iRHmoX\nKwISiYCESD80dw5YfK7DfGLuRBgd4rxJz5LkIPh6ueLgyRbovrG6PKTWorC8A3HhPnMeYkxEc2Oe\nEzbXFfzmzgH85fVCuLpI8Zsbllm10U5ooCcMRlNXXrP27iG8vbcSu3MbcPuf9+HQyRakRPvjsZ/l\nICTAMWczWoL4Zw5EcySRCFiUqMCR4lZ8csTUQvjgSdNmPYMRuPXKRYj5Rmtuf283XHdJCp7/sASv\nfl6GO3YstmhM5Q2mL8wUK220374uAZ8eqcNLn5QiJNBjXpwsnak17cFabkdL80lR/jhT042alr55\n8R5YQ0unqfwjMtixm6pMRiaVIGdpJD46VIsTFZ3jXScB014end6IVQvDRIyQiADT95C/txxnapQw\nGo2zamLS1DGA3/3jKIY1Otz9/Syrd6UMU3gCMJ33BPi4oblzEHty6zGkMe1LcpdLccfVi3HpihiH\nnctoKVzpIaewaVUMAnzc8JOrF+Phn6zF6kVhiA3zxV3fy5xwKXfrmnhEBHlid24DVAMTN0GYjfL6\nXrjLZeesLllSsL8Hbr0yA/1DI7j36SP4+39OOn03t4Y204qAPXX4SjLPdWCJ26y1dJmSnggnTnoA\nYH1mJABTXf3ZDo91klyZwaSHSGyCICAjQYGe/hG0TqM5wPn8a9dp9PRrcPO2heOfe2uKGGuW9Nrn\n5fjb2yfx/lfVAIBtF8RjUaICD92+BptXTdyiej7hSg85hSXJwXjp/kvH/74gPnDK57jIJNiyOg7/\n+uAMDhQ144qcBIvEMjA8ipauQSxJCrLqkvbm1XGIC/fFU++cwu7cBqTG+OOi5eLvdbGW+vZ+yKQS\nu2qzbt6HYqlNr/OReaUnwo7eV2tIivJDRJAX8kra0dOvQYCPG5o6BpB7pg3xEb4OPSiayJksTFTg\n4MkWFFd1zfh7qadfg1NVXUiJ9sf2dZY5p5jK8oWh+MGmVEgkAgJ83BDo64a0uEDIXaQ2eX1HwpUe\nmtfWZUZCKhGwP79p6gdPU0WDqUNTSqy/xY45kdTYANx30wp4uMnw3Iclk7btdmR6gxGN7QOICvGC\nTGo/X1vhCk/IpBI0dgyIHYrDau4aRKCvG9ztYJ+WNQmCgG058RjVGfCHfx/HwaJmvPlFBYxG4HuX\npMxpFhARWY55tlZuycyHTx8saoHBCGzIsv4Kj5ncRYrvXJyCay5MxoXLorEkOZgJzwTs5+yBSAS+\nXnJkp4WgtrVvfJjoXJWPbYC01eDM4AAPfP/SVAyptXjh4xKbvKatdfQMYVSrR4zIbaq/SSqVIDLY\nC00dA5POYKHz04zooFSpnX6Vx2zzqlisyghDVZMK//dqIQ4WtSA+wteu9qkRzXehgZ5IjPTFqcou\nDAzPrNHRsdOtEARgzVjHRrIvTHpo3tswNpl4f4FlVnvMTQxSY6y/0mO2ZU0c4sN9sS+/CQeLnK+j\nW02zKSH9ZkMKexAd6o2RUf345G2aPnPNvLPv5zETBAG/uWEZ/nTHmvHbruMqD5HdWbM4AnqDEbmn\n26b9nOERA8rre5AaEwA/7/k5/NPeMemheW95egi83F1w4ETznIeV6g1GVDb2IjLYC14erhaKcGoy\nqQS/uiEbclcp/rXrjNO1UDb/4lmSFCRyJN9mXn1qbGeJ20yNd26bJys9gKnb5MIEBe7/0Up89+KU\neT0okMherV08NgS8uHXaz6lu08BgBLLTQqwVFs0Rkx6a91xkUuQsjUDvwAiKzjPgdCYa2/uhHtHb\nrLTtbBFBXrh6YxJUgyN4fXeFzV/fWjSjOuSVtiMs0HN8cJw9iQ41dehraGczg5lqnied284nOy0E\n39+UylUeIjs0mxK36lYNAGBZOpMee8WkhwjARguVuJn3BSVGWbcv/0S25yQgLNATHxyswbv7q877\nGL3egIKyDodZDTpwogWaUT3WLgm3yxNEc9LDlZ6Zmy+d24jI8ZhL3N76onLKkRBGoxH1nSPw8XS1\nu72n9DUmPUQAkqP9Ea7wRF5pO7S62Ze4mWfJxIRaZz7PVNzkMjx422oo/Nzx4iel2J1bP35fT78G\nZ2qU+N/nj+OB53LxP//KxahWL0qc0zWs0eLVz8ogd5Viy+o4scM5r5AAT7i6SJn0zEJL1wBcZBIE\n+c/fCeFEZJ8uWhaN0EAPfHCwBm9+UTnpY9u6h9A/rEdGgoLzcOwYkx4imDYYZ6YEY2RUj8rG3lkf\nx9y6OFrEKz0hAR546LbV8PZwxVPvnMJ/9lXivn8cxY0P7MY9Tx/BiYpO+Hq5oqy+B2/tnfyLXGyf\nHKmDanAEOzYkQeHnLnY45yWVCIgK8UJT5wD07OA2bUajES1dgwhXeFp1nhUR0Wz4ecvxyJ0XINjf\nHW/sKcfpGuWEjz1dbbovI1Fhq/BoFpj0EI1ZlGT6siqunviLbSqN7f3w85bDx9N2TQzOJzzICzdv\nWwCjEXj50zKcrOrCgvhAbF+XgN/fvAL/uvdi+HnJ8fHhWgyq7bPMbUSrx4cHa+HpJsMVOfFihzOp\n6BBvaHUGtHfPboL3fNQ7MAL1iH5e7uchIsfg7+2GX16fDaMReOGjkgnL3ArKOgAAi5OY9Ngz554G\nRzQDCxMUEATgVFUXrrskZcbPV4/o0NmrxiI7udKzMTsKo1o9RrQGLE0J+lad8fZ1CXjxk1LszWvA\n9nWJIkU5sUNFLVANjuCaC5Pg4eYidjiT+rqDWz/3p0xTR7epxXdogKfIkRARTSw1JgBrFofjyKlW\n7M1rxMUrYs65f1ijRWF5J4J9ZYgMFqe0naaHKz1EY7w9XBEb5oOqxt5Z7etpGitts5dZMoIgYPPq\nOGxfl3DejZUbl0VBEIDcMzOfOm0Le443QBCATStjxQ5lSmxmMHNKlRoAEORvn2WLRERmN25Jh6e7\nC55+9xSOnDq3jfXxEtNe4AXR3Jto75j0EJ0lNSYAozoD6tv6ZvzcxrGWxdEhjnGlx9/bDSnR/iir\n70H/0MymTltbU8cAyup7sCQpCMEB9v+LJJqzemasayzpCfRl0kNE9i1M4Ynf/nA5XGQSPPxyPk5W\ndo7fd/ikKQlKj+Z3mb1j0kN0ltRYfwBARcPMmxk0tJubGDhG0gMAyxeEwmAwoqDMvlZ7vshrBIBv\nlRHYqyA/d7jLpZzVMwPKvrGVHjttUEFEdLaMRAUe+PFqAMD7X9UAAAbVWpyo6ERsmA+CfO27DJuY\n9BCdI2VsqGh5/cyTnsZ28Tu3zdSaRaap0weKWkSO5GtanQH7Cxrh7eGKlQsdY1q9RCIgKsQbLV2D\n0Oln3/J8PjGXt9lrVz4iom9KiwvAgvhAnKjoRGN7P/JK2qDTG7B2SbjYodE0MOkhOku4whNe7i6o\naOyZ8XMb2/sR4OMGL3fHudoTHuSFpCg/nKzsQu+ARuxwAAC5p9vQNziKDdmRcJFJxQ5n2qJDfKDT\nG9GmZAe36ehSqeEik8DXS9xOh0REM7F9XQIA4LXd5Tg0Vtp2weIIMUOiaWLSQ3QWQRCQEuOP9u5h\nqAZGpv28IbUWyj6NQ5W2ma3PjITBYMTR4jaxQwEAfHS4FgDsdhjpRGLCTO89S9ymR6lSQ+HrDkHg\njB4ichwrFoQiJcYfR4vbUFDWgfgIX4Sza6dDYNJD9A3mEreZDCltdMD9PGYrFoYBAArLO0SOxLRa\nVlbfg8zUYIdr/WxuVdraxZWeqWh1eqgGRljaRkQORxAE3HblovG/r13M0jZHwaSH6BtSY0zNDMob\npl/iVtVkSpASI/2sEpM1hQR4IDLYC8XVSoxq9aLGkl9qSrzWLY0UNY7ZCB5rvdzZOyxyJPavu89U\nSqnwcxM5EiKimUuM8sO9P1yOtNgAXLgsWuxwaJqY9BB9Q3K0PwRhZs0MKhtV4891RFmpIRgZ1aOk\ntlvUOArLTW1AM1OCRY1jNoL9Ta21O3qY9Eyli00MiMjBrcoIwyN3XoAAH168cRRMeoi+wdPdBYmR\nfiip65725v6qpl54ursgLNAxp8tnpZqSDHPSIYZhjRaldd1IjPKDn7dctDhmy00ug6+XKzqZ9Exp\nfDApkx4iIrIRJj1E57ExOwoGgxEHTjRP+diB4VG0KoeQFOkHicQxN2UviA+E3FWKExXi7es5VdUF\nvcE4noA5omB/D3Sp1DAYjGKHYtfYrpqIiGyNSQ/ReVywJAIyqTCt+TVVTabStqRox9vPY+bqIkVG\nggJNHYOirVSYV5myU0NEeX1LCA7wgFZngGpw+p3/5iOWtxERka0x6SE6D18vOVJjA1DTrMLA8Oik\njzU3MXDU/Txm2eMlbrZf7TEajSgs74SXuwuSHPjfMWRsXw9L3CbH8jYiIrI1Jj1EE1icFASjESiu\nVk76uCoHb2JglpVmWmERY19PTUsflCo1lqYEQ+qgJYKAaaUHANqZ9ExKqVLDzVUKTwca5EtERI6N\nSQ/RBBYnBgEw7TWZiNFoRGVjLwJ93Ry+g0tooCcigjxxqqoLWp1tW1fvzm0AAGzIcrxW1Wczr1z0\n9KlFjsS+KVVqKPw4mJSIiGyHSQ/RBJKi/eAul6J4kqSnu0+D3oERh1/lMctKDYFmVI/c0+02e81h\njRYHTjRB4eeOTAfezwNgPPHt7p9e17/5SDOqw8Cwlvt5iIjIppj0EE1AJpVgQbwCLV1D43sQvqmu\ntQ8AEB/ha8vQrOaSlTFwlUnw1DsncaS4FUaj9buQfXSoFuoRPbasjnXo0jYACPA1JT09fUx6JjI+\nmNSXSQ8REdkOkx6iSSxOmrzErb6tHwAQE+pjs5isKSbUB3deuwTqUT0efikf//6oxKqJz7BGi/cP\n1MDbwxVb18RZ7XVsxddLDokA9HClZ0LmhDDQ17HLQYmIyLEw6SGaxOIkBYCJk57G9gEAQGyYcyQ9\nALA+KwpP/2ojIoO9sOtADQ6farXaa+3Lb8KQWottOfHwcHP8Te1SiQA/bzcmPZMw/9v4O/geOCIi\ncixMeogmERPqAy93F5Q39J73/vq2fshdpQgZ69rlLCKCvHDfzSsgkQh4Y0859FYYtmkwGPHx4Vq4\nyCTYvCrW4scXS4CvG3r6NDYpDXRE5qTH0Rt/EBGRY2HSQzQJiURAQqQv2pRDGFJrz7lPpzeguXMQ\n0SHekDj4XpTzCVd44cLsKDR1DE7awW62Css70KocwrqlkfD1klv8+GIJ9HHDqM7wrf9fyMSc9LC8\njYiIbIlJD9EUEiL8AAC1Y00LzNqUQ9DpDYgO9RYjLJvIWRoBACiqsPzsng8P1QIAtuXEW/zYYmIH\nt8mZ9/RwpYeIiGyJSQ/RFBIjTUlPTfO5SU9r1yAAUymYs0qPC4SrTIKTlZZd6enoGcbJyi4siA9E\nXLhzdL4zYwe3yXX3ayAIgJ+386zuERGR/WPSQzSFhEjTSXlNs+qc21uVQwCAcCdOelxdpFiYoEB9\nWz+6LThw89hpU3OE9ZmOPYz0fMZXepj0nFdvvwa+XnLIpPz1Q0REtsPfOkRTCA30hLtchpqWc5Oe\nNnPSo/AUIyybWZZuGhhqyS5uR4vbIBGAlQvDLHZMe2Eeuqm0YJLoLIxGI3r6NQjwZmkbERHZFpMe\noilIJALiI3zR3DkIzYhu/PZWpam8LSzQuZOeC5ZEQCIR8NwHZ/Cbpw7j9j/vw/6Cpgm7k9W39SO/\ntB3t3UPQjOrOuU9vMOL5D8+grL4HCxMUTlniFGROeiYYaDufqUd00Izqx0sAiYiIbEUmdgBEjiAx\n0g8ltd2oa+1HWlwAAFN5W4CPG9zkzv0x8vWSIys1GPmlHSip7YZMKsHjb5zAnuMNuOt7mQj2N7Xr\nbuoYwIeHarEntx7mDtcebjKsWBCK0EBPKPzccehkC05WdiEiyAt3XrtExJ/KeswrPV29THq+qZtN\nDIiISCTOfbZGZCHmfT3VzSqkxQVgVKuHUqXGgvhAkSOzjR9dsRAp0f5YnxUFAcBzH57BsdNtuPVP\n+5CREIiVGWF48eNSqEd0CA7wwNpF4ejp1+BkVRe+LGw+51hLk4Pwq+uz4eXhKs4PY2Xuchm8PVzQ\npRoWOxS70zvApIeIiMTBpIdoGhIivk56AKCxYwBGo3N3bjtbuMIL37k4Zfzv99y4DHvzGvHJ0ToU\nVXahqLILUomA/7p2CTZkR41vUtfpDejsHUZnzzA6e9UIU3hiYXwgBMH55hqdTeHnjvbuIRiNRqf/\nWWdivF01y9uIiMjGmPQQTUNEsDe8PVxwsrILBoMRpbXdAID0sVK3+UYQBFy8IgYXr4jBmRolalv7\nsCgxCLFhPuc8TiaVIFzhhXDF/EgOzYL8PFDX2o8htdZpV7RmwzyYNMAJ93IREZF9Y9JDNA1SiYBl\n6aHYX9CEqqZelNSZk575Ud42mYUJCixMUIgdhl1R+JlWMrpUaiY9ZzEPbOVKDxER2ZpVu7fdc889\nWL16NS6//PLx21QqFXbu3IlLL70UN910E/r7+60ZApHFrM4wtVc+WtyGktpuBPq6ISTAQ+SoyB4F\njTV3YDODc/WwkQEREYnEqknPjh078Nxzz51z27PPPovVq1dj9+7dWLlyJZ599llrhkBkMUtSguHm\nKsXu3Hr0DY5iwTzYm0KzEzKW9HT0sJnB2XoHRiARAD8vlrcREZFtWTXpyc7Oho/PuTX++/fvx5VX\nXgkAuPLKK7F3715rhkBkMXIXKTJTgzGkMc2eWbMoXOSIyF6FjQ2sbeseEjkS+9LTp4GftxxSKUfE\nERGRbdn8N093dzcUClP9v0KhQHd3t61DIJq1VQtNJW6ebjJkp4WIHA3Zq1Bz0qNk0mNmNBrR3a9h\naRsREYlC1EYGgiBMuzyosLDQytHQVPgeAC6jBni5S7Ao1g2ni0+KEgPfB/sw1fvgLpegrrmb79cY\n9agBo1o9JIYRi/2b8N/WPvB9sA98H8TH98C+2TzpCQwMRFdXF4KCgtDZ2YmAgOm1/M3KyrJyZDSZ\nwsJCvgdjVq80AoAo+3n4PtiH6bwP0YeHUNOiwpKlmZBKuPerukkFoBXJ8WHIylo05+Pxs2Af+D7Y\nB74P4uN7YB8mSzxtXt62ceNGvP/++wCAXbt24aKLLrJ1CERzMpMVSpq/QgM9odMboVSxgxsAtPeY\nSv3CAj1FjoSIiOYjqyY9d911F7773e+irq4O69atw7vvvotbbrkFR48exaWXXorc3Fzccsst1gyB\niEgU5mYGrV2DIkdiH8z7m0KZ9BARkQisWt722GOPnff2F1980ZovS0QkuohgLwBAc+cglqYEixyN\n+Nq7Te27QwM524qIiGyPfUOJiKwgJtQbANDQzgHMANA+1r47hCs9REQkAiY9RERWEBnsBYlEQGP7\ngNih2IX27iEE+LhB7iIVOxQiIpqHmPQQEVmBi0yKiCBPNLT3w2g0ih2OqLQ6PZQqNUvbiIhINEx6\niIisJDrUB8MaHZQqjdihiKqutR8GIxAb5iN2KERENE8x6SEispKYUNNJfn1bn8iRiKuqsRcAkBzt\nL3IkREQ0XzHpISKykqQoPwBARUOvyJGIq7JJBYBJDxERiYdJDxGRlaTGmE7yy+p7RI5EXJWNvXCX\nyxAR5CV2KERENE8x6SEishIvD1dEh3qjsrEXer1B7HBEMaTWorlzEElRfpBIBLHDISKieYpJDxGR\nFaXFBkAzqkdd6/yc11PN0jYiIrIDTHqIiKxoQXwgAKC4ukvkSMRR2WRuYuAnciRERDSfMekhIrKi\nJUlBAICiivmZ9FSNrfQkRXGlh4iIxMOkh4jIivx93BAX7oOSum5oRnVih2NzlY29CPAZhRIAAAAW\nEklEQVSRI9DXTexQiIhoHmPSQ0RkZUuTg6HVGVBcrRQ7FJvq7lOju0+DpCh/CAKbGBARkXiY9BAR\nWdnqRWEAgEMnW0SOxLYqG9nEgIiI7AOTHiIiK0uO9kdIgAeOn2mbVyVuVWxiQEREdoJJDxGRlQmC\ngJylEVCP6FFY1il2ODZT2WhKehLZxICIiETGpIeIyAYuWBIBADh4slnkSGxDqzOgslGFiCBPeLm7\niB0OERHNc0x6iIhsIDbMB1Eh3sgv7cCQWit2OFZXUNYB9YgO2WmhYodCRETEpIeIyBYEQcCGrEho\ndQbszq0XOxyr+7KwCQCwIStS5EiIiIiY9BAR2czm1XHwcJPh/a9q0NEzLHY4VqMaGEF+aQeiQ70R\nH+ErdjhERERMeoiIbMXL3QVXbUiEanAEP3roC9z+531o7x4SOyyL+yKvATq9AZtWxnI+DxER2QUm\nPURENnTthcm463uZyEhQoLlzEPc/ewyfHa2D3mAUOzSLMBiM+PxYPdxcpdiYHSV2OERERACY9BAR\n2ZRpb08U/njHGmxfl4BW5RCefrcYv33mCJQqtdjhzVlZfQ86e9VYszgcnuzaRkREdoJJDxGRSG7e\nthD//t0lWJURhpLabvzssa/GZ9s4qgNFppbc65aygQEREdkPJj1ERCIK8nfHPTcuw61XZmBweBS/\nf/aYw7a0HtXqcfhkK/y85ViUqBA7HCIionEysQMgIprvBEHAZWvjMajW4rXPy/FlYRMuWxt/3sd+\nVdiEVuUQalv6sChRgW05CTaOdmJHi1sxMDyKHRsSIZXymhoREdkP/lYiIrITm1bGQiYV8MmROuj0\nhm/df+hkC/7y+gm8sacCx0va8a8PzthN9ze9wYgPD9UCAC5dGStuMERERN/ApIeIyE74ecuxMTsa\nzZ2DePWzsnPuG1Jr8dR/TkLuKsVtV2bgOxcnAwDe2FMhRqjf8s6+SlQ1qbBmcTjCFJ5ih0NERHQO\nJj1ERHbk5m0LEKbwxLtfVqOwvGP89s+P1WNIo8N3LkrG1rXx+N4lqYgK8cKBE83o7hO369vpaiVe\n310Oha8bfnL1YlFjISIiOh8mPUREdsTDzQW/uj4bMqkEf3opHx8dqkVdax/+s78K7nIZNq+OAwBI\nJAK2XZAAvcGIT47UiRZvb78Gj7xaAEEQ8Kvrl8Hbw1W0WIiIiCbCRgZERHYmMdIPv7o+C0+9cwrP\n7joNTzcZhkd0uOu6THidNftmQ3YU/v3RGRw+1YobtqTbJLaKhh4cL2nHkFqLhvYB1Lf1Y0itxc3b\nFiAtLsAmMRAREc0Ukx4iIju0KiMcoYGeuOuJgxjS6HDH1YuxPivqnMfIXaRYlBiE4yXtaO8eQmig\ndffSDKq1+MMLeVANjAAABAEIDfTEppUxuMKOusgRERF9E5MeIiI7FRfuiwduWQnNqB7L00PP+5jM\n1GAcL2nHiYpObBkrfbOWt76ogGpgBBuyIrEtJwGRwV5wc+WvESIisn/8bUVEZMcWJQZNen9mSjAA\n4GBRCzavioUgCFaJQ6vTY29eI/y95bjz2iVwkUmt8jpERETWwEYGREQOLDTQE1mpwSip7UZ+acfU\nT5il/NIODKq1WJcZyYSHiIgcDld6iIgc3I1b01FU0YmHXsxDVmowFsYrkBYbANXgCPqHRjCs0UGr\nM2BVRhiiQrxn9RqfHa0HAGzMjpr8gURERHaISQ8RkYOLC/fF/T9ehec/PIP80o4JV3xe+7wMFy2P\nwdKUICxJDj6nE9xkTlV14WRVFxYnKRAX7mvJ0ImIiGyCSQ8RkRPITAlG5i83QqlS40yNEhWNvQjw\ncYPCzx0eclPL67f3VmLP8QbsOd4AV5kEl18Qj4xEBcIUnghXeJ33uNVNKjzySgEA2KwtNhERkaUx\n6SEiciIKP3esz4r6VntrAMhZEoGiyi7UNKvw+bF6vPtlNd79shoAcPXGJNywJe2cRghtyiE88Fwu\nBodH8dNrliA52t9WPwYREZFFMekhIponpFIJstNCkJ0WgityEpB7pg2dvWrszW/EO/urkJGoGO8G\nd+RUK5548wQ0o3rcdmUGLl0ZI3L0REREs8fubURE85CbXIb1WVG49qJk3HbVIgDAmRolAKCutQ+P\nvV4IQRDws+8sxda18WKGSkRENGdc6SEimudSY/whCEBZfQ8A4JXPyjCqM+B312djxcIwkaMjIiKa\nO670EBHNcx5uLogJ9UFlowptyiEUlHUgOdqPCQ8RETkNJj1ERITU2ACMavX469tFMBqBzavixA6J\niIjIYpj0EBERcpZGAADO1HQjOMBj/O9ERETOgEkPEREhI0GBi5dHAwBuunwBXF2kIkdERERkOWxk\nQEREAIA7rl6MrWvikBDpJ3YoREREFsWVHiIiAgDIpBImPERE5JSY9BARERERkVNj0kNERERERE6N\nSQ8RERERETk1Jj1EREREROTUmPQQEREREZFTY9JDREREREROjUkPERERERE5NdGGk27cuBGenp6Q\nSqWQyWR45513xAqFiIiIiIicmGhJDwC88sor8PPjIDwiIiIiIrIeUcvbjEajmC9PRERERETzgGhJ\njyAI2LlzJ6666iq8/fbbYoVBREREREROTjCKtNzS2dmJ4OBg9PT0YOfOnbjvvvuQnZ193scWFhba\nODoiIiIiInI0WVlZ571dtKTnbH//+9/h4eGBm266SexQiIiIiIjIyYhS3qZWqzE4OAgAGB4exuHD\nh5GcnCxGKERERERE5ORE6d6mVCrx05/+FACg1+tx+eWXY+3atWKEQkRERERETs4uytuIiIiIiIis\nRdSW1URERERERNbGpIeIiIiIiJwakx4iIiIiInJqM0562tracP3112Pr1q247LLL8PLLLwMAVCrV\n/7d3/zFV1X8cx5/8EHEqEQkytZVhc/Tjprk0pURQYQboBTR/pvgjfy2YsfkjzWFphWVac7lgo8wl\ntKZ4mbNkKuoUsOUsE8FNm1MxBX8k11C8/vh8/2CcL8K913vhwj0X34+/5HI/55x7Xuf9+ZzPOYcr\nM2fOJDY2llmzZmE2m7XX33nnHQYOHMjq1au15dTV1TF37lzGjBlDfHw8X375pc11lpWVkZCQQExM\nDGvWrNFe//3330lMTOTFF1+ksLDQZnuLxcKiRYuIiYnh7bff5uLFiwBcvHiRpKQkjEYjcXFx/PDD\nD87uDrfRUw75+fm8/vrrGI1GjEYj27Zts9r++++/Jy4ujrFjx5KSksI///yj/S48PFxrv3Dhwlbt\nm/bkjhw2bNjAiBEjGDhw4EOv2zrOm7JVN0eOHNEyMBqNGAwG9u3b1+J9015clQHA7NmzGTduHHFx\ncSxfvpy7d+9aXaetWsjLyyMhIQGj0cjEiRM5deqU1fb2+q7HvRag9TmcO3eOKVOmYDQaGTt2LAcP\nHrTa3lbNeGotgHtysNUn2evzG7NXNzt27CA2NpbY2FhMJlOL90t7cmUGDebPn09CQoLNdbbV+Czn\nSQ97VA5tNT6D544NuqKcVF1drcrLy5VSSv33338qJiZGnTlzRq1du1ZlZ2crpZTKyspSX3zxhVJK\nqVu3bqmjR4+qvLw89fHHH2vLuX37tvrtt9+UUkpZLBY1ZcoUdfDgQavrTE5OVsePH1dKKTVnzhzt\nfZWVlerUqVNqyZIlavfu3Ta3+ccff1QZGRlKKaV27dqlFi1apK3XYrEopZSqra1VUVFR6tKlS87u\nErfQUw75+flq9erVj9zmI0eOqLq6OqWUUrm5uVoOSik1YMAApz6/Xrgjh+PHj6vq6upm+8zWcd6U\nI3Vz48YNNXjwYC0vPXNVBg3tG6SmpiqTyWR1nbZq4ebNm9p79u3bp2bMmGG1vb0MHvdaaGjfoCU5\nLF26VOXl5SmllDpz5oyKioqy2t6RmvGkWlDKPTnY6pPs9fmN2aqbf//9V40cOVLV1NSompoa7d96\n58oMlFKqsLBQpaenq/j4eJvrbKvxWc6T/s+RHNpyfPbUsUFPnL7TExwcTHh4OABdu3YlLCyMqqoq\nioqKSExMBCAxMZG9e/cC0KVLFwYNGoSfn99Dy/H392fw4MEAdOrUiRdeeIGqqqpm66uurqa2thaD\nwQCA0WjUlt27d2/69++Pt7f9j9F422JiYigtLdXW26lTJ6D+Sruvry/+/v7O7hK30FMOSimUA18C\nOGTIEDp37gzAK6+8wuXLl1vy0XWlvXMAMBgMBAcHN3vd1nHelCN1s3v3boYPH67lpWeuyqChPcDd\nu3exWCw8+eSTzd5jrxa6deumve/WrVtW24PjfZcn0VMOwcHB3Lx5EwCz2UzPnj2tbrMjNeNJtQDt\nnwPY7pMc7fNt1c3hw4eJiIggICCAgIAAhg0bxqFDhxzaD+7kygxqa2vZvHmz3Sv7bTk+y3lSPUdy\ngPYZn0XLtWqvVlZWUlFRgcFg4Nq1a/To0QOAHj16cO3atYfe6+XlZXM5ZrOZ/fv3M3To0Ga/q6qq\nIjQ0VPu5Z8+eVFdXO7Wd1dXV2jJ8fX3p3r07N27cAODy5cskJCQQFRXFjBkzCAwMdGrZeuDuHLy8\nvCgsLCQhIYG0tDSHJjPbtm0jMjJS+9lisZCUlMTEiRO1DsjTtEcO9tg7zp21a9cu4uPjW9TWnVyR\nwezZs4mIiMDf35/hw4c3+/2j+qStW7cyevRoMjMzSU9Pd/ozSC3Ua00O8+bNw2QyERkZybx581i5\ncqXVdThSM55aC9A+OTiqaZ/flLW6aZwPQGhoqM2LQXrV2gy+/vprZs2aZXei0dbjs5wnOZaDPa4Y\nnzvC2OBuLZ701NbWkpaWxooVKx66SgP1B4y9k7rG7t27R3p6OtOnT6dPnz4t3ZwWCw0NZefOnezZ\ns4ctW7Zw7ty5dt+G1tBDDlFRUezfv5+dO3cSERHB0qVL7b6/oKCA8vJyZs+erb22f/9+8vPzWbdu\nHZ9++ikXLlxwahvcTQ85uEp1dTWnT5/2uP8w2FUZ5OTkcPjwYSwWCzt27HB6O6ZOncqePXtYtmwZ\ny5cvd7q91EK91uTw2WefMWHCBA4ePEh2djaLFy92qn0DT60F0EcODaz1+U21tm70qLUZVFRUcOHC\nBUaNGuXQ3RprXDE+P+7nSa7IwRU8fWzQgxZNeu7evUtaWhpjx45l1KhRADz11FNcuXIFqB8ogoKC\nHFrWypUr6du3L9OnTwfg/v37jBs3DqPRyMaNGwkNDX3oysTly5cJCQlptpzGB+2GDRswGo3arcSQ\nkBAuXboE1J9U3rx5s9mVipCQEAYNGkRFRYWju8Ht9JJDYGCgdvt7/PjxnDx5EmieA0BJSQlZWVls\n2rRJawNoy3r66acZMmQI5eXlLdon7tDWOTT84eLGjRvttrV1nFvLoYG1zv7XX39l9OjR+Pj4OLTN\neuDKDAD8/PyIiYnhxIkTPHjwoEV90ltvvaUdx85kILXwf87m0PAY2x9//MGYMWMAGDBgAHfu3OH6\n9etOjw2eWAvQvjk8irU+3149NK6bnj17avlAfcaN72jomSsy+PPPPykrKyM6OpqpU6dy9uxZpk+f\n7lSf5IrxucHjep7kaA72uGJ89uSxQS+cnvQopVixYgVhYWGkpKRor0dHR2tXgUwmk3ZwNW7X1IYN\nG6itrX3oqo6Pjw8FBQWYTCZSU1MJDg6mW7duHD9+HKUUBQUFVpfdePnvv/8+JpNJ257G21ZYWKg9\nNlRVVUVdXR0ANTU1HDt2jP79+zu7S9xCTzk0dB5Q/9xqv379gOY5lJeXk5GRwbfffvtQJ2M2m7FY\nLABcv36dY8eOacvQu/bIwWQyaTnYY+s4b5pD422wth2e9jiPqzK4deuW9kjIvXv3OHDgAOHh4Xh7\neztcC42vgB44cEDrTxzNQGqhdTmMHDkSgOeee46SkhIA/v77b+7cuUNQUJDDY0MDT6sFaP8c7LHV\n5zfNwVbdREREUFxcjNlspqamhuLiYo+46+aqDCZPnsyhQ4coKioiNzeXvn37smXLFqf6pNaOz3Ke\n5HgO9rR2fPbksUFPvJST9+qOHj3KtGnT6N+/vzYLTU9Px2AwsGjRIi5dukTv3r356quvCAgIAOrD\nrq2txWKxEBAQwHfffUfXrl0ZMWIEYWFh2hWFadOmMX78+GbrLCsr44MPPqCuro7IyEg+/PBDAP76\n6y9SU1Mxm834+fkREhLCzp07m7W3WCwsXryYiooKAgMDWb9+PX369KGkpITMzEzt9mZKSgpGo9G5\nPegmesph/fr1FBUV4ePjQ2BgIKtWraJv377N2s+cOZPTp09rz9L26tWLTZs2cezYMTIyMvD29ubB\ngwekpKSQnJzcJvvN1dyRw+eff86uXbu4cuUKwcHBTJgwgffee8/mcd6UvbqprKxk6tSpNr/iV49c\nlUFgYCDz5s3DYrGglOKNN95gyZIlVu+G2aqFTz75hNLSUnx9fQkKCiIjI4NnnnmmWXtbGUgtuCaH\n8+fPs2LFCsxmM15eXixZsoRhw4Y1a2+vZjyxFsA9Odjqk2z1+U3Zq5vt27eTlZUFwIIFC6xeEdeb\n1mbwxBNPkJOTQ1hYmLbMyspKFixYYPUcB9pufC4uLmbt2rWP5XlSS3Joq/HZk8cGPXF60iOEEEII\nIYQQnkS+E08IIYQQQgjRocmkRwghhBBCCNGhyaRHCCGEEEII0aHJpEcIIYQQQgjRocmkRwghhBBC\nCNGhyaRHCCGEEEII0aH5unsDhBBCiOjoaDp37oyfnx+3b9+mX79+vPvuuwwcONBuu/z8fF599VWe\nffbZ9tlQIYQQHkkmPUIIIXRh48aN2v8yvmfPHubOnUtOTg4Gg8Fmmx07dhAUFCSTHiGEEHbJ421C\nCCF0Z/To0UyaNImcnBxKS0uZNGkSiYmJJCQk8MsvvwCwfft2ysrKWLNmDUajkdLSUgCys7OZMGEC\nSUlJzJ8/n6tXr7rzowghhNABudMjhBBClwwGA0VFRbz00kvk5ubi7e3N1atXSU5O5s033yQ5ORmT\nycScOXOIjIwEoKCggMrKSn7++We8vLzIzc0lMzOTdevWufnTCCGEcCeZ9AghhNAlpRQA165dY9my\nZZw/fx4fHx9qamo4e/as9thbw/sAioqKOHnyJImJiQDcv3+f7t27t//GCyGE0BWZ9AghhNClEydO\n8Pzzz7Nq1SpGjhzJN998A0BsbCx37tzR3ufl5fVQu4ULF5KUlNSu2yqEEELf5G96hBBC6ELjOzZ7\n9+7lp59+YtasWZjNZnr16gVAcXEx58+f197XrVs3zGaz9nN0dDRbt27VXrNYLJw6daqdPoEQQgi9\n8lKNRxkhhBDCDax9ZfXcuXMZMGAAJSUlfPTRR3Tp0oWXX36ZsrIyli9fzmuvvcaBAwfIzMzE39+f\npUuXMnToUDZv3kx+fj5QP5GaMmUKkydPdvMnFEII4U4y6RFCCCGEEEJ0aPJ4mxBCCCGEEKJDk0mP\nEEIIIYQQokOTSY8QQgghhBCiQ5NJjxBCCCGEEKJDk0mPEEIIIYQQokOTSY8QQgghhBCiQ5NJjxBC\nCCGEEKJD+x82tBfcyB9bdAAAAABJRU5ErkJggg==\n",
    497       "text/plain": [
    498        "<matplotlib.figure.Figure at 0x7fb6c2500d50>"
    499       ]
    500      },
    501      "metadata": {},
    502      "output_type": "display_data"
    503     }
    504    ],
    505    "source": [
    506     "# Compute rolling standard deviation\n",
    507     "std = pd.rolling_std(pricing, window=90)\n",
    508     "\n",
    509     "# Plot rolling std\n",
    510     "_, ax2 = plt.subplots()\n",
    511     "ax2.plot(std)\n",
    512     "ax2.set_xticklabels([pricing.index[i].date() for i in ticks[:-1]]) # Label x-axis with dates\n",
    513     "plt.ylabel('Standard Deviation of Moving Average')\n",
    514     "plt.xlabel('Date')\n",
    515     "\n",
    516     "print 'Mean of rolling std:', np.mean(std)\n",
    517     "print 'std of rolling std:', np.std(std)"
    518    ]
    519   },
    520   {
    521    "cell_type": "markdown",
    522    "metadata": {},
    523    "source": [
    524     "To see what this changing standard deviation means for our data set, let's plot the data again along with the Bollinger bands: the rolling mean, one rolling standard deviation (of the data) above the mean, and one standard deviation below."
    525    ]
    526   },
    527   {
    528    "cell_type": "markdown",
    529    "metadata": {},
    530    "source": [
    531     "Note that although standard deviations give us more information about the spread of the data, we cannot assign precise probabilities to our expectations for future observations without assuming a particular distribution for the underlying process."
    532    ]
    533   },
    534   {
    535    "cell_type": "code",
    536    "execution_count": 12,
    537    "metadata": {
    538     "collapsed": false
    539    },
    540    "outputs": [
    541     {
    542      "data": {
    543       "text/plain": [
    544        "<matplotlib.legend.Legend at 0x7fb6c290cd50>"
    545       ]
    546      },
    547      "execution_count": 12,
    548      "metadata": {},
    549      "output_type": "execute_result"
    550     },
    551     {
    552      "data": {
    553       "image/png": 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llixZQs+ePUlOTub111/niy++ACArK4uvv/4aRVEoLi7mq6++Qq1Ws3//fpYvX84HH3xQ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\ngg==\n",
    554       "text/plain": [
    555        "<matplotlib.figure.Figure at 0x7fb6c2527d50>"
    556       ]
    557      },
    558      "metadata": {},
    559      "output_type": "display_data"
    560     }
    561    ],
    562    "source": [
    563     "# Plot original data\n",
    564     "_, ax3 = plt.subplots()\n",
    565     "ax3.plot(pricing)\n",
    566     "ax3.set_xticklabels([pricing.index[i].date() for i in ticks[:-1]]) # Label x-axis with dates\n",
    567     "\n",
    568     "# Plot Bollinger bands\n",
    569     "ax3.plot(mu)\n",
    570     "ax3.plot(mu + std)\n",
    571     "ax3.plot(mu - std);\n",
    572     "plt.ylabel('Price')\n",
    573     "plt.xlabel('Date')\n",
    574     "plt.legend(['Price', 'Moving Average', 'Moving Average +1 Std', 'Moving Average -1 Std'])"
    575    ]
    576   },
    577   {
    578    "cell_type": "markdown",
    579    "metadata": {},
    580    "source": [
    581     "# Conclusion\n",
    582     "\n",
    583     "Whenever we compute a parameter for a data set, we should also compute its volatility. Otherwise, we do not know whether or not we should expect new data points to be aligned with this parameter. A good way of computing volatility is dividing the data into subsets and estimating the parameter from each one, then finding the variability among the results. There may still be outside factors which are introduced after our sample period and which we cannot predict. However, the instability analysis and testing for standard error is still very useful for telling us how much we should distrust our estimates."
    584    ]
    585   },
    586   {
    587    "cell_type": "markdown",
    588    "metadata": {},
    589    "source": [
    590     "*This presentation is for informational purposes only and does not constitute an offer to sell, a solicitation to buy, or a recommendation for any security; nor does it constitute an offer to provide investment advisory or other services by Quantopian, Inc. (\"Quantopian\"). Nothing contained herein constitutes investment advice or offers any opinion with respect to the suitability of any security, and any views expressed herein should not be taken as advice to buy, sell, or hold any security or as an endorsement of any security or company.  In preparing the information contained herein, Quantopian, Inc. has not taken into account the investment needs, objectives, and financial circumstances of any particular investor. Any views expressed and data illustrated herein were prepared based upon information, believed to be reliable, available to Quantopian, Inc. at the time of publication. Quantopian makes no guarantees as to their accuracy or completeness. All information is subject to change and may quickly become unreliable for various reasons, including changes in market conditions or economic circumstances.*"
    591    ]
    592   }
    593  ],
    594  "metadata": {
    595   "kernelspec": {
    596    "display_name": "Python 2",
    597    "language": "python",
    598    "name": "python2"
    599   },
    600   "language_info": {
    601    "codemirror_mode": {
    602     "name": "ipython",
    603     "version": 2
    604    },
    605    "file_extension": ".py",
    606    "mimetype": "text/x-python",
    607    "name": "python",
    608    "nbconvert_exporter": "python",
    609    "pygments_lexer": "ipython2",
    610    "version": "2.7.12"
    611   }
    612  },
    613  "nbformat": 4,
    614  "nbformat_minor": 0
    615 }