{ "cells": [ { "cell_type": "markdown", "id": "f2631573", "metadata": {}, "source": [ "# Unit root test and Hurst exponent\n", "\n", "" ] }, { "cell_type": "markdown", "id": "b1359e9e", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Overview\n", "\n", "- We will first recap and provide more details about some concepts we saw in the previous lectures.\n", "- Then, we will introduce new analytics tools and some of their application in financial applications." ] }, { "cell_type": "markdown", "id": "29644aac", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- The content of the lecture is organized as follows:\n", " 1. Small recap.\n", " 2. Unit root test.\n", " 3. Mean reversion.\n", " 4. Hurst Exponent.\n", " 5. Geometric Brownian motion." ] }, { "cell_type": "code", "execution_count": 2, "id": "876fd91c", "metadata": { "slideshow": { "slide_type": "skip" }, "tags": [ "hide-input" ] }, "outputs": [], "source": [ "# Imports\n", "import warnings\n", "warnings.simplefilter(action=\"ignore\", category=(FutureWarning, DeprecationWarning))\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "from statsmodels.tsa.stattools import adfuller\n", "import yfinance as yf\n", "np.random.seed(0) # For reproducible results" ] }, { "cell_type": "markdown", "id": "0dc2b59e", "metadata": {}, "source": [ "---" ] }, { "cell_type": "markdown", "id": "1bab131c", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Small recap\n", "\n", "- We've covered lots of material in the previous lessons. \n", "- Now is a good time to step back and rehash what we've covered." ] }, { "cell_type": "markdown", "id": "64b73418", "metadata": { "cell_style": "split", "slideshow": { "slide_type": "subslide" } }, "source": [ "### Decomposition\n", "\n", "- Time series data can be decomposed into trend, seasonal, and random fluctuation components.\n", "\n", "**Trends**\n", "- Increasing.\n", "- Decreasing.\n", "- Flat.\n", "- Larger trends can be made up of smaller trends.\n", "- There is no defined timeframe for what constitutes a trend: it depends on your data and task at hand." ] }, { "cell_type": "markdown", "id": "6da354bd", "metadata": { "cell_style": "split", "slideshow": { "slide_type": "fragment" } }, "source": [ "**Seasonal effects**\n", "- Weekend retail sales spikes.\n", "- Holiday shopping.\n", "- Energy requirement changes with annual weather patterns." ] }, { "cell_type": "markdown", "id": "dcfd6356", "metadata": { "cell_style": "split", "slideshow": { "slide_type": "fragment" } }, "source": [ "**Random Fluctuations**\n", "- The human element.\n", "- Aggregations of small influencers.\n", "- Observation errors.\n", "- The smaller this is in relation to trend and seasonal components, the better we can predict the future." ] }, { "cell_type": "markdown", "id": "7d0cd99b", "metadata": { "cell_style": "split", "slideshow": { "slide_type": "subslide" } }, "source": [ "### Additive vs Multiplicative\n", "\n", "- Two simple categories of time series models:\n", "\n", "**Additive**\n", "- Data = Trend + Seasonal + Random.\n", "- If our seasonality and fluctuations are stable, we likely have an additive model." ] }, { "cell_type": "markdown", "id": "7105c7ce", "metadata": { "cell_style": "split", "run_control": { "marked": true }, "slideshow": { "slide_type": "fragment" } }, "source": [ "**Multiplicative**\n", "- Data = Trend $\\times$ Seasonal $\\times$ Random.\n", "- As easy to fit as Additive if we take the log: ``log(Data) = log(Trend) + log(Seasonal) + log(Random)``.\n", "- Use multiplicative models if:\n", " - the amplitude in seasonal and random fluctuations grows with the trend,\n", " - the percentage change of our data is more important than the absolute value change (e.g. stocks, commodities)." ] }, { "cell_type": "markdown", "id": "83d046de", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Stationarity\n", "\n", "A time series is stationary if:\n", "\n", "- The mean of the series is constant.\n", "- The variance does not change over time (homoscedasticity).\n", "- The covariance is not a function of time.\n", "\n", "" ] }, { "cell_type": "markdown", "id": "f84c01af", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Detect non-stationarity\n", "\n", "- Make a run-sequence plot." ] }, { "cell_type": "markdown", "id": "879a4919", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- Rolling statistics:\n", " - Compute and plot rolling statistics such as moving average/variance on chunks of data.\n", " - Check if the statistics change over time. \n", " - This technique can be done on different windows (small windows are noisy, large windows too conservative)." ] }, { "cell_type": "markdown", "id": "b4b7617b", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- Augmented Dickey-Fuller (ADF) test:\n", " - Statistical tests for checking stationarity. \n", " - The null hypothesis $H_0$ is that the time series is non-stationary. \n", " - If the test statistic is small enough and the $p$-value below the target $\\alpha$, we _can_ reject $H_0$ and say that the series is stationary." ] }, { "cell_type": "markdown", "id": "94467bb8", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Achieve stationarity\n", "\n", "- Take the log of the data.\n", "- Difference (multiple times if needed) to remove trends and seasonality.\n", "- Subtract estimated trend and seasonal components." ] }, { "cell_type": "markdown", "id": "608a476b", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Unit root test" ] }, { "cell_type": "markdown", "id": "4b624fcd", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- The ADF is one of the most popular unit root tests.\n", "- The presence of a unit root suggests that the time series is generated by a stochastic process with some level of persistence.\n", "- This means that shocks to the system will have permanent effects. \n", "- This is opposed to stationary processes where shocks have only temporary effects.\n", "\n", "> Where does the term *unit root* comes from?" ] }, { "cell_type": "markdown", "id": "59914424", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- Consider a simple autoregressive process of order 1, denoted as AR(1). \n", "- This is represented as: \n", "\n", "$$Y(t) = \\phi Y(t-1) + \\epsilon_t,$$\n", "\n", "- where \n", " - $Y(t)$ is the value of the series at time $t$, \n", " - $\\phi$ is a coefficient, \n", " - $\\epsilon_t$ is a white noise error term." ] }, { "cell_type": "markdown", "id": "13e7d08f", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- To analyze the properties of the AR(1), we can rewrite its equation in terms of **lag operator** $L$ where $LY(t) = Y(t-1)$. \n", "- The equation becomes: \n", "\n", "$$(1 - \\phi L)Y(t) = \\epsilon_t$$\n", "\n", "- The term $(1 - \\phi L)$ is known as the **characteristic equation** of the AR(1) process." ] }, { "cell_type": "markdown", "id": "f06d1804", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- The roots of this equation are found by setting $1 - \\phi L = 0$ and solving for $L$. \n", "- The solution gives $L = 1/\\phi$, which is the **root of the characteristic equation**." ] }, { "cell_type": "markdown", "id": "264af46c", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- If $\\phi = 1$, then $L = 1/\\phi = 1$, meaning that the root of the characteristic equation has a \"unit\" value. \n", "- This is what is known as a \"unit root\". \n", "- When an AR(1) process has a unit root (i.e., $\\phi = 1$), it implies that the series is non-stationary as it becomes a random walk: $Y(t) = Y(t-1) + \\epsilon_t$ \n", "- The value of the series will be highly dependent on its previous values (the shocks to the series have a permanent effect).\n", "\n", "```{info}\n", "The term \"unit root\" describes a specific condition in the autoregressive representation of a time series, indicating that the series is **non-stationary**.\n", "```" ] }, { "cell_type": "markdown", "id": "0a069fdb", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### More on the ADF test \n", "\n", "**Formulation of the test**\n", "- The basic idea of the ADF test is to assess whether lagged values of the time series are useful in predicting current values. \n", "- The test starts with a model that includes the time series lagged by one period (lag-1).\n", "- Then, other lagged terms are added to control for higher-order correlation (this is the \"augmented\" part of the ADF test)." ] }, { "cell_type": "markdown", "id": "eca181a4", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "**ADF test equation**\n", "\n", "The ADF test model the time series with the following equation:\n", "\n", "$$\\Delta Y(t) = \\alpha + \\beta t + \\gamma Y(t-1) + \\sum_{i=1}^{p} \\delta_i \\Delta_{t-i} + \\epsilon_t$$\n", "\n", "- where\n", " - $\\Delta_t = Y(t) - Y(t-1)$ is the difference of the series at time $t$,\n", " - $\\alpha$ is a constant, \n", " - $\\beta$ represents the trend, \n", " - $\\gamma$ is the coefficient on the lagged value of the series,\n", " - $\\delta_i$ terms are coefficients for the lagged differences (account for higher-order correlations),\n", " - $\\epsilon_t$ error term." ] }, { "cell_type": "markdown", "id": "7107110e", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "**ADF test for AR(1)**\n", "\n", "- Where does the model used in the ADF test come from?\n", "- Consider the simple case of an AR(1) model:\n", "\n", "$$\n", " Y(t) = \\phi Y(t-1) + \\epsilon_t\n", "$$\n", "\n", "- Subtract $Y(t-1)$ from both sides:\n", "\n", "\\begin{align*}\n", " Y(t) - Y(t-1) & = \\phi Y(t-1) - Y(t-1) + \\epsilon_t \\\\\n", " \\Delta Y(t) &= (\\phi - 1) Y(t-1) + \\epsilon_t\n", "\\end{align*}" ] }, { "cell_type": "markdown", "id": "3feecdc5", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "This is exactly the ADF model above when:\n", "- $p=1$\n", "- $\\alpha=\\beta=0$ (zero-mean and no trend)\n", "- $\\gamma = \\phi - 1$" ] }, { "cell_type": "markdown", "id": "afbf6a1e", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "**Connection to unit root**\n", "\n", "- If $\\gamma = 0$, then $\\phi = 1$ (unit root).\n", "- This means that \n", "\n", "$$\\Delta Y(t) = \\epsilon_t \\implies Y(t) = Y(t-1) + \\epsilon_t,$$ \n", "\n", "- which is the non-stationary random walk." ] }, { "cell_type": "markdown", "id": "ae6a8441", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "**Null and alternative hypotheses (revised)**\n", "- $H_0$: $\\gamma = 0$ the time series has unit root, i.e., it is not stationary.\n", "- $H_1$: $\\gamma < 0$ the series does not have a unit root." ] }, { "cell_type": "markdown", "id": "b431d34b", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "**Test statistics**:\n", "- The ADF test statistic is the coefficient $\\hat{\\gamma}$, estimated from data.\n", "- The estimated statistic $\\hat{\\gamma}$ is then compared to critical values for the ADF distribution.\n", "- If the test statistic is more negative than the critical value, $H_0$ is rejected.\n", "- If the test statistic is less negative than the critical value, $H_0$ cannot be rejected." ] }, { "cell_type": "markdown", "id": "f6687948", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- For example, consider a confidence level $\\alpha=0.05$.\n", "- According to the distribution of $\\gamma$, it correspond to a critical value of $\\gamma_\\alpha=-2.89$.\n", "- If the test statistic $\\hat\\gamma$ is more negative than the critical value $\\gamma_\\alpha$, $H_0$ is rejected.\n", "- If the test statistic $\\hat\\gamma$ is less negative than the critical value $\\gamma_\\alpha$, $H_0$ cannot be rejected." ] }, { "cell_type": "markdown", "id": "b5931879", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "**Choosing lag length**:\n", "- The number of lags ($p$) included in the test equation is important. \n", "- Too few lags might leave out necessary corrections for autocorrelation.\n", "- Too many lags can reduce the power of the test.\n", "- The appropriate lag length is often chosen based on information criteria such as the Akaike Information Criterion (AIC) or the Bayesian Information Criterion (BIC)." ] }, { "cell_type": "code", "execution_count": 3, "id": "2d215098", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ADF Statistic: -1.13\n", "p-value: 0.70\n", "Used Lag: 0\n", "Number of Observations: 99\n", "Critical Values: ['1%: -3.50', '5%: -2.89', '10%: -2.58']\n", "\n" ] } ], "source": [ "# Generating a random walk time series\n", "data = pd.Series(100 + np.random.normal(0, 1, 100).cumsum())\n", "\n", "# Perform Augmented Dickey-Fuller test. The lag can be set manually \n", "# with 'maxlag' or inferred automatically with autolag\n", "result = adfuller(data, autolag='AIC') # You can change to 'BIC'\n", "\n", "adf_statistic, p_value, usedlag, nobs, critical_values, icbest = result\n", "print(f'ADF Statistic: {adf_statistic :.2f}')\n", "print(f'p-value: {p_value :.2f}')\n", "print(f'Used Lag: {usedlag}')\n", "print(f'Number of Observations: {nobs}')\n", "print(f\"Critical Values: {[f'{k}: {r:.2f}' for r,k in zip(critical_values.values(), critical_values.keys())]}\\n\")" ] }, { "cell_type": "markdown", "id": "6b319bc9", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "**Types of ADF tests**\n", "- There are three versions of the ADF test depending on whether the equation includes the constant term $\\alpha$ and the trend $\\beta t$:\n", " - No constant or trend (`'n'`).\n", " - Constant, but no trend (`'c'`).\n", " - Both constant and trend (`'ct'`).\n", "- The choice among these depends on the nature of the underlying time series and on what we want to test." ] }, { "cell_type": "code", "execution_count": 4, "id": "2d78d669", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "# Function to perform ADF test\n", "def perform_adf_test(series, title, regression_type):\n", " out = adfuller(series, regression=regression_type)\n", " print(f\"Results for {title}:\")\n", " print(f'ADF Statistic: {out[0]:.2f}')\n", " print(f'p-value: {out[1]:.3f}')\n", " print(f\"Critical Values: {[f'{k}: {r:.2f}' for r,k in zip(out[4].values(), out[4].keys())]}\\n\")\n", "\n", "# 1. No Constant, no Trend\n", "series_no_const_no_trend = pd.Series(np.random.normal(0, 1, 200))\n", "\n", "# 2. Constant, but no Trend\n", "series_const_no_trend = pd.Series(50 + np.random.normal(0, 1, 200))\n", "\n", "# 3. Both Constant and Trend\n", "series_const_trend = pd.Series(50 + np.linspace(0, 20, 200) + np.random.normal(0, 1, 200))" ] }, { "cell_type": "code", "execution_count": 5, "id": "3a7b66b0", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12, 4))\n", "plt.subplot(1, 3, 1)\n", "series_no_const_no_trend.plot(title='No Constant, No Trend')\n", "plt.subplot(1, 3, 2)\n", "series_const_no_trend.plot(title='Constant, but No Trend')\n", "plt.subplot(1, 3, 3)\n", "series_const_trend.plot(title='Both Constant and Trend')\n", "plt.tight_layout();" ] }, { "cell_type": "code", "execution_count": 6, "id": "5850dfd3", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Results for No Constant, No Trend:\n", "ADF Statistic: -15.47\n", "p-value: 0.000\n", "Critical Values: ['1%: -2.58', '5%: -1.94', '10%: -1.62']\n", "\n", "Results for Constant, No Trend:\n", "ADF Statistic: -13.95\n", "p-value: 0.000\n", "Critical Values: ['1%: -3.46', '5%: -2.88', '10%: -2.57']\n", "\n", "Results for Constant and Trend:\n", "ADF Statistic: -14.68\n", "p-value: 0.000\n", "Critical Values: ['1%: -4.00', '5%: -3.43', '10%: -3.14']\n", "\n" ] } ], "source": [ "# 1. No Constant or Trend\n", "perform_adf_test(series_no_const_no_trend, \"No Constant, No Trend\", 'n')\n", "\n", "# 2. Constant, but No Trend\n", "perform_adf_test(series_const_no_trend, \"Constant, No Trend\", 'c')\n", "\n", "# 3. Both Constant and Trend\n", "perform_adf_test(series_const_trend, \"Constant and Trend\", 'ct')" ] }, { "cell_type": "markdown", "id": "a805476e", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- In the last two cases, without accounting for the non-zero mean and the trend we would not reject $H_0$.\n", "- Try using ``'n'`` in the last two examples and see for yourself.\n", "\n", "---" ] }, { "cell_type": "markdown", "id": "1fe88de5", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Mean reversion test" ] }, { "cell_type": "markdown", "id": "6b9fbd8f", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- Mean reversion refers to the property of a time series to revert to its historical mean. \n", "- This concept is particularly popular in financial economics, where it is often assumed that asset prices and revert to their historical average over the long term.\n", "- There is no proper mathematical definition of mean reversion." ] }, { "cell_type": "markdown", "id": "9727338f", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Applications in finance\n", "\n", "1. **Portfolio Management** \n", " - Investors use mean reversion as a strategy to buy assets that have underperformed and sell assets that have overperformed, expecting that they will revert to their historical mean." ] }, { "cell_type": "markdown", "id": "d114cb72", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "2. **Risk Management** \n", " - Understanding mean reversion helps in assessing the long-term risk of assets. \n", " - If an asset is highly mean-reverting, it might be considered less risky over the long term, as it tends to move back to its average." ] }, { "cell_type": "markdown", "id": "10ba817f", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "3. **Economic Forecasting** \n", " - Economic variables (like GDP growth rates, interest rates) often exhibit mean-reverting behavior. \n", " - This assumption is used in macroeconomic models and forecasts." ] }, { "cell_type": "markdown", "id": "4e6d8ba3", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Testing for mean reversion\n", "- Determines whether, after a deviation from its mean, a time series will eventually revert back to that mean. \n", "- This can be done using unit root tests such as ADF.\n", "- If a time series has a unit root, it implies that it does not revert to a mean.\n", "- The absence of a unit root can be indicative of mean reversion." ] }, { "cell_type": "markdown", "id": "207fd5ea", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "**Example: Google stocks**\n", "\n", "We will download the Google Open-High-Low-Close-Volume (GOOG OHLCV) data from the 1st September 2004 to 31st August 2020 from [Yahoo finance](https://finance.yahoo.com/) using the ``yfinance`` Python package." ] }, { "cell_type": "code", "execution_count": 7, "id": "ae360b22", "metadata": {}, "outputs": [], "source": [ "def get_data(tickerSymbol, period, start, end):\n", "\n", " # Get data on the ticker\n", " tickerData = yf.Ticker(tickerSymbol)\n", "\n", " # Get the historical prices for this ticker\n", " tickerDf = tickerData.history(period=period, start=start, end=end)\n", " \n", " return tickerDf\n", " \n", "data = get_data('GOOG', period='1d', start='2004-09-01', end='2020-08-31')" ] }, { "cell_type": "code", "execution_count": 8, "id": "d6fa86d4", "metadata": { "scrolled": false, "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plotting the Closing Prices\n", "plt.figure(figsize=(14, 5))\n", "plt.plot(data['Close'], label='GOOG Closing Price')\n", "plt.title('Google Stock Closing Prices (2004-2020)')\n", "plt.xlabel('Date')\n", "plt.ylabel('Price (USD)')\n", "plt.legend();" ] }, { "cell_type": "code", "execution_count": 9, "id": "3873cc5e", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Results for Google Stock Closing Prices:\n", "ADF Statistic: -0.78\n", "p-value: 0.968\n", "Critical Values: ['1%: -3.96', '5%: -3.41', '10%: -3.13']\n", "\n" ] } ], "source": [ "# Perform the ADF test\n", "perform_adf_test(data['Close'],\"Google Stock Closing Prices\", 'ct')" ] }, { "cell_type": "markdown", "id": "59e2043f", "metadata": {}, "source": [ "- We cannot reject $H_0$.\n", "- It does not look like a mean reverting time series." ] }, { "cell_type": "markdown", "id": "5040e5b1", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Mean reversion VS stationarity\n", "\n", "Testing for mean reversion and testing for stationarity are related but distinct concepts in time series analysis.\n", "\n", "**Key Differences**:\n", "- Mean reversion testing is focused on whether a time series will return to a specific level (the mean).\n", "- Stationarity testing checks if the overall statistical properties of the series remain consistent over time." ] }, { "cell_type": "markdown", "id": "d1ae2c3c", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "**Key Differences (cont.)**:\n", "- A stationary time series may or may not be mean reverting. \n", " - A stationary series with a constant mean and variance over time might still not revert to its mean after a shock.\n", "- Conversely, a mean-reverting series must have some stationarity, particularly in its mean, but or other properties (e.g., variance) might change over time." ] }, { "cell_type": "markdown", "id": "c799b0e0", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Hurst exponent" ] }, { "cell_type": "markdown", "id": "965f30b1", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- The Hurst exponent ($H$) is a measure used to characterize the long-term memory of time series. \n", "- It helps to determine the presence of autocorrelation or persistence in the data. \n", "- The goal of the Hurst exponent is to provide us with a scalar value that will help us to identify whether a series is \n", " - random walking,\n", " - trending,\n", " - mean reverting." ] }, { "cell_type": "markdown", "id": "05b2a775", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- The key insight is that, if any *autocorrelation* exists, then\n", "\n", "$$\\text{Var}(X(t + \\tau) - X(t)) \\propto \\tau^{2H}$$\n", "\n", "- where $H$ is the Hurst exponent." ] }, { "cell_type": "markdown", "id": "f455a51e", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "A time series can then be characterised in the following manner:\n", "\n", "- If $H = 0.5$, the time series is similar to a random walk. In this case, the variance increases *linearly* with $\\tau$.\n", "- If $H < 0.5$, the time series exhibits anti-persistence, i.e. mean reversal. The variance increases *less than linearly* with $\\tau$.\n", "- If $H > 0.5$, the time series exhibits persistent long-range dependence, i.e. is trending. The variance increases *more than linearly* with $\\tau$." ] }, { "cell_type": "code", "execution_count": 10, "id": "3e801384", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "def hurst(ts):\n", " \n", " # Create the range of lag values\n", " lags = range(2, 100)\n", "\n", " # Calculate the array of the variances of the lagged differences\n", " tau = [np.var(np.subtract(ts[lag:], ts[:-lag])) for lag in lags]\n", "\n", " # Use a linear fit to estimate the Hurst exponent\n", " poly = np.polyfit(np.log(lags), np.log(tau), 1)\n", "\n", " # Return the Hurst exponent from the polyfit output\n", " return poly[0]/2.0" ] }, { "cell_type": "markdown", "id": "1e486a46", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "**How do persistent and anti-persistent time series look like?**\n", "\n", "- Let's create a Python script (adapted from [here](https://github.com/Mottl/hurst/tree/master)) to generate random walk with persistence.\n", "- We must incorporate a form of \"memory\" by considering past values within a specified look-back window to decide the direction of the next step. " ] }, { "cell_type": "markdown", "id": "aaa91e43", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Let's define\n", "\n", "```python\n", "def random_walk_memory(length, proba, min_lookback, max_lookback)\n", "```\n", "\n", "where:\n", "- ``proba`` is the probability that the next increment will follow the trend.\n", " - proba > 0.5 persistent random walk\n", " - proba < 0.5 antipersistent one\n", "\n", "- ``min_lookback`` and ``max_lookback`` are the minimum and maximum window sizes to calculate trend direction" ] }, { "cell_type": "code", "execution_count": 11, "id": "41212444", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "def random_walk_memory(length, proba=0.5, min_lookback=1, max_lookback=100):\n", " series = [0.] * length \n", " for i in range(1, length):\n", " \n", " # If the series has not yet reached the min_lookback threshold\n", " # the direction of the step is random (-1 or 1) \n", " if i < min_lookback + 1:\n", " direction = np.sign(np.random.randn())\n", " \n", " # consider the historical values to determine the direction\n", " else:\n", " # randomly choose between min_lookback and the minimum of \n", " # i-1 (to ensure not exceeding the current length) and max_lookback.\n", " lookback = np.random.randint(min_lookback, min(i-1, max_lookback)+1)\n", " \n", " # Decides whether to follow the recent trend or move against it, \n", " # based on a comparison between proba and a random number between 0 and 1.\n", " recent_trend = np.sign(series[i-1] - series[i-1-lookback])\n", " change = np.sign(proba - np.random.uniform())\n", " direction = recent_trend * change\n", " \n", " series[i] = series[i-1] + np.fabs(np.random.randn()) * direction\n", " return series" ] }, { "cell_type": "code", "execution_count": 24, "id": "139ac542", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bm = random_walk_memory(2000, proba=0.5)\n", "persistent = random_walk_memory(2000, proba=0.7)\n", "antipersistent = random_walk_memory(2000, proba=0.3)\n", "\n", "_, axes = plt.subplots(1,3, figsize=(24, 4))\n", "axes[0].plot(bm)\n", "axes[0].set_title(f\"Random Walk, H: {hurst(bm):.2f}\")\n", "axes[1].plot(persistent)\n", "axes[1].set_title(f\"Persistent, H: {hurst(persistent):.2f}\")\n", "axes[2].plot(antipersistent)\n", "axes[2].set_title(f\"Anti-Persistent, H: {hurst(antipersistent):.2f}\");" ] }, { "cell_type": "markdown", "id": "406a67b2", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- What is the Hurst exponent of the Google stocks closing price?" ] }, { "cell_type": "code", "execution_count": 13, "id": "5423c01a", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "GOOG closing price, H: 0.41\n" ] } ], "source": [ "print(f\"GOOG closing price, H: {hurst(data['Close'].values):.2f}\")" ] }, { "cell_type": "markdown", "id": "f0d761a4", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- Google stocks' time series approaches $H=0.5$, indicating that it is close to a geometric random walk (at least for the sample period we're looking at).\n", "- What does this mean in practice?" ] }, { "cell_type": "markdown", "id": "d95bb3c9", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Interpretation of the Hurst exponent in finance:\n", "\n", "- The Hurst exponent, $H$, is a critical metric in the analysis of financial time series.\n", "- Offers insights into the behavior of assets such as stocks. \n", "- Here's how to interpret $H$ in the context of *closing stock prices* and its influence on *investment decisions*." ] }, { "cell_type": "markdown", "id": "ea1ea363", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "**Case 1: $H = 0.5$**\n", "\n", "- This value suggests that the stock price follows a random walk. \n", "- It implies that future price movements are independent of past movements. \n", "- For investors, this means that there are no autocorrelations in price movements to exploit; past data cannot predict future prices. \n", "- Trading strategies based on historical price patterns or trends are, theoretically, no more likely to be successful than random guessing.\n", "- Investors should rely on broader market analysis or diversified portfolio strategies rather than trying to predict future prices based on past trends." ] }, { "cell_type": "markdown", "id": "ce368cb9", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "**Case 2: $H < 0.5$** \n", "\n", "- Indicates a mean-reverting series, i.e., the stock price tends to revert to its historical average. \n", "- This suggests that the asset is less risky over the long term. \n", "- Investors might interpret a low $H$ as an opportunity to buy stocks after a significant drop, expecting a reversion to the mean, or to sell after a substantial rise." ] }, { "cell_type": "markdown", "id": "badec803", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "**Case 3: $H > 0.5$**\n", "\n", "- Suggests a trending series, where increases or decreases in stock prices are likely to be followed by further increases or decreases, respectively. \n", "- This persistence indicates potential momentum in stock prices, which can be exploited by momentum strategies:\n", " - Buying stocks that have been going up in the hope that they will continue to do so, and selling those in a downtrend.\n" ] }, { "cell_type": "markdown", "id": "db248bba", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "#### Practical considerations:\n", "\n", "Before applying these interpretations, investors should also make the following considerations:\n", "- The observed value of $H$ can vary over different time frames: analyze $H$ over the period relevant to the investment horizon.\n", "- External factors such as market conditions, economic indicators, and geopolitical events can influence stock prices and should be considered alongside $H$.\n", "- Regardless of the value of $H$, implementing proper risk management strategies is essential to protect against unexpected market movements.\n", "- If the time series is too short, the value of $H$ might not be reliable.\n", "\n", "---" ] }, { "cell_type": "markdown", "id": "b299c91d", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Brownian Motion " ] }, { "cell_type": "markdown", "id": "7467b47f", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- Recall the random walk \n", "\n", "$$X(t) = X(t-1) + \\epsilon_t$$ \n", "\n", "- where $\\epsilon_t \\sim \\mathcal{N}(0,\\sigma^2)$." ] }, { "cell_type": "markdown", "id": "9535f5e0", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- This can also be expressed as:\n", "\n", "$$X(t) = X(0) + W(t)$$ \n", "\n", "- where $W(t)$ is called *Wiener Process*, or as:\n", "\n", "$$X(t) = X(0) + B(t)$$ \n", "\n", "- where $B(t)$ is called *Brownian Motion*.\n", "- $W(t)$ and $B(t)$ represents the cumulative sum of normally distributed increments $\\epsilon_1 + \\epsilon_2 + \\dots \\epsilon_t$." ] }, { "cell_type": "markdown", "id": "d3218e69", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "**Variance of Brownian Motion at time lag $\\tau$**\n", "\n", "- For a time series $X(t)$, the variance at a time lag $\\tau$ can be defined as: \n", "\n", "$$\\text{Var}(X(t + \\tau) - X(t))$$" ] }, { "cell_type": "markdown", "id": "1e80e4bc", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- Given $B(t)$ as Brownian motion, the increment $B(t + \\tau) - B(t)$ is normally distributed with mean 0 and variance $\\tau$.\n", "- This is because the variance of the increments of Brownian motion over a period $\\tau$ is $\\tau$. \n", "\n", "$$\\text{Var}(B(t + \\tau) - B(t)) = \\tau$$\n", "\n", "---" ] }, { "cell_type": "markdown", "id": "42d2e890", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Geometric Brownian Motion" ] }, { "cell_type": "markdown", "id": "0456a822", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- The *Geometric Brownian Motion* (GBM) is a stochastic process.\n", "- Is is often used to model stock prices and other financial variables that do not revert to a mean but rather exhibit trends with a drift $\\mu$ and volatility $\\sigma$. " ] }, { "cell_type": "markdown", "id": "78426912", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "The GBM is defined as: \n", "\n", "$$S(t) = S_0 \\exp\\left((\\mu - \\frac{1}{2} \\sigma^2)t + \\sigma W(t)\\right)$$ \n", "\n", "- where\n", " - $S(t)$ is the stock price at time $t$.\n", " - $S_0$ is the initial stock price at time $t = 0$.\n", " - $\\mu$ is the expected annual return (drift coefficient).\n", " - $\\sigma$ is the volatility (standard deviation of returns).\n", " - $W(t)$ is a Wiener process (standard Brownian motion)." ] }, { "cell_type": "code", "execution_count": 14, "id": "f5625e43", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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n8tsuXLgQBQUFeO+99wIee9WqVbjnnnv4z8lizZo1ePXVV3HjjTfisssuQ2NjI+655x5UVFTgyJEjSXueUFxzzTW45pprIt5m2rRpuOGGG/DQQw9BpVJh9erVqK+vxx133IHq6uqAVPVYvi9D9X0nCIIg0gcJbYIgCCJqvvOd7+C0007DX/7yF/zpT39Cc3MzBEFAVVUVli5dio0bNwaEca1YsQJbtmzB//3f/+Gmm25CT08PioqKMHPmTFxxxRX8dtOmTcPmzZtx++2343vf+x7sdjtmzJiBv//972H7Z+PliSeewKmnnoonnngCjz76KHw+HyorK7Fs2bKAwLAf/ehH2LdvH26//Xb09fVBFEWIohjz882bNw9btmzBnXfeidtuuw39/f0oLy/H2WefHXYeuZKXX34ZL7/8MgBAq9WiuroaF110EX7xi19g3Lhxg96/pKQEmzdvxm233YbbbrsNZrMZEydOxP3334+bb7454LYqlQrLly/Ha6+9FiCoTzvtNBiNRtjt9gAHPFGuvfZatLe34/HHH8dTTz2FiRMn4uc//zmamprw61//OmnPkwiPPfYYJk2ahCeffBKPPPII8vLycP755+O+++4L6J2O5fsylN93giAIIj0IYjxnDQRBEARBEARBEARBhIR6tAmCIAiCIAiCIAgiiZDQJgiCIAiCIAiCIIgkQkKbIAiCIAiCIAiCIJIICW2CIAiCIAiCIAiCSCIktAmCIAiCIAiCIAgiiZDQJgiCIAiCIAiCIIgkMiLnaPt8PjQ3NyM3NxeCIKR7cwiCIAiCIAiCIIgMRxRF9Pf3o7KyEipVZM96RArt5uZmVFdXp3szCIIgCIIgCIIgiFFGY2MjqqqqIt5mRArt3NxcANILNJlMad4agiAIgiAIgiAIItMxm82orq7mejQSI1Jos3Jxk8lEQpsgCIIgCIIgCIIYMqJpX6YwNIIgCIIgCIIgCIJIIiS0CYIgCIIgCIIgCCKJkNAmCIIgCIIgCIIgiCRCQpsgCIIgCIIgCIIgkggJbYIgCIIgCIIgCIJIIiS0CYIgCIIgCIIgCCKJkNAmCIIgCIIgCIIgiCRCQpsgCIIgCIIgCIIgkggJbYIgCIIgCIIgCIJIIiS0CYIgCIIgCIIgCCKJkNAmCIIgCIIYAj4+0oGbX6xFj9WV7k0hCIIgUgwJbYIgCIIgiCHgT+sP49WdJ/HoB0fTvSkEQRBEiiGhTRAEQRAEMQQc77QCAP61tRFWpyfNW0MQBEGkEhLaBEEQBEEQKabb6kKvzQ0A6Hd48OqOpjRvEUEQBJFKSGgTBEEQBEGkmOMdloDf/765HqIopmlrCIIgiFRDQpsgCIIgCCLFHO+QysZrxuZDrRJwvMOKVrMjzVtFEARBpAoS2gRBEARBECnmWKfkaM8dk4fxRdkAgMNtlkh3IQiCIEYwJLQJgiAIgiBSTJ3saE8oNmJqWS4A4Ehbfzo3iSAIgkghJLQJgiAIgiBSDEscn1iSgymlOQCAI+RoEwRBZCyadG8AQRAEQRCZT7fVhbwsLdQqId2bMuR4vD6c6GJC24g+u5Q+fridHG2CIIhMhRxtgiAIgiBSyrEOC075vw348Yu16d6UtNDUY4fbK0KvUaEyL4uXjh9ts1DyOEEQRIZCQpsgCIIgiJSyvb4HXp+IXU296d6UtFDX6e/PVqkEjC/OhloloN/poeRxgiCIDIWENkEQBEEQKaVOLpvutrjSvCXpoaHbBgAYX2QEAOg1ap48Tn3aBEEQmUnMQvujjz7ChRdeiMrKSgiCgNdff51f53a78bOf/Qxz5syB0WhEZWUlvv71r6O5uTngMZxOJ37wgx+guLgYRqMRF110EZqamhJ+MQRBEARBDD9Yf3K/0wOnx5vmrRl6uq3SAkNRjo5fNqVUKh8/TMnjBEEQGUnMQttqtWLevHl4+OGHB1xns9mwY8cO3HHHHdixYwdeffVVHD58GBdddFHA7W666Sa89tpr+Ne//oVPPvkEFosFa9asgdc7+g6+BEEQBJHp1HXa+M9MdI4memzSay40+oX21DJKHicIgshkYk4dX716NVavXh3yury8PKxfvz7gsoceegiLFy9GQ0MDxo4di76+Pjz55JN49tlnsWrVKgDAc889h+rqamzYsAHnnXdeHC+DIAiCIIjhiCiK3NEGgC6LCxV5WWncoqGHLS4UZPuF9sQSSWizsnKCIAgis0h5j3ZfXx8EQUB+fj4AYPv27XC73Tj33HP5bSorKzF79mxs3rw55GM4nU6YzeaAfwRBEARBDH86+p2wufwVa+RoS7Ay8tH4fhAEQYwGUiq0HQ4Hfv7zn+Oqq66CyWQCALS2tkKn06GgoCDgtmVlZWhtbQ35OPfddx/y8vL4v+rq6lRuNkEQBEEQSaK+K9CxHY3Cstsqzc0uUAhtJrq7RuH7QRAEMRpImdB2u91Yu3YtfD4fHn300UFvL4oiBEEIed1tt92Gvr4+/q+xsTHZm0sQBEEQRAqoV5SNA6NTWPbIr7lQUTpeZNRL19lc8PloljZBEESmkRKh7Xa7ccUVV6Curg7r16/nbjYAlJeXw+VyoaenJ+A+7e3tKCsrC/l4er0eJpMp4B9BEARBEMOf+s5Aod1tdaZpS9KDKIrolkvHC4xafjn72esT0Wd3p2XbCIIgiNSRdKHNRPaRI0ewYcMGFBUVBVy/cOFCaLXagNC0lpYW7N27F0uXLk325hAEQRAEkUZOyKXj+dmSsOwaZbO0bS4vXB4fgMAebb1GjVy9lEk7Gl1+giCITCfm1HGLxYKjR4/y3+vq6lBbW4vCwkJUVlbisssuw44dO/Dmm2/C6/XyvuvCwkLodDrk5eXh+uuvxy233IKioiIUFhbi1ltvxZw5c3gKOUEQBEEQmUGd7GgvGFuATQfbR52oZD3pOo0KWVp1wHVFOTr0Oz2jsm+dIAgi04lZaG/btg0rVqzgv998880AgG984xu466678MYbbwAA5s+fH3C/999/H8uXLwcA/OlPf4JGo8EVV1wBu92OlStX4umnn4ZaHXgAIgiCIAhiZNMoj6+qqc7HpoPto05U9tqksvDCbN2ALJpCow71XbZRV05PEAQxGohZaC9fvhyiGD60I9J1DIPBgIceeggPPfRQrE9PEARBEMQIweP1od/pAQBMKZPmRo82oe3vz9YNuK5QDkQbbS4/QRDEaCDlc7QJgiAIghidWBXzs8cWGgEAXZbR5d7yxHFFEBqjSBbf3aOsb50gCGI0QEKbIAiCIIiUYJHdbJ1ahfI8AwDA7PDA7fWlc7OGFObgF2SHcLRzaJY2QRBEpkJCmyAIgiCIlGCVhbZRr0Z+lhYquUW5ZxQJyx4bc7QHCm3maAcL7Ze2NWLlHz/Avua+1G8gQRAEkRJIaBMEQRAEkRL6HZLQzjFooFIJXGx2jqJS6YiONisdV4Sh7W824xev7cWxDiseef/ogPsQBEEQIwMS2gRBEARBpATuaOuk7FW/sBw9QjuSo80uY7PFHW4vbnpxJ1xyaf17+9rQ0T+6etoJgiAyBRLaBEEQBEGkBCa0cw2BQrtrFI2z4o52CKFdnKMPuM2HhztwuM2CIqMO08tz4fGJeGVH09BtLEEQBJE0SGgTBEEQBJES+nmPtiS0i+RxVqPJpe2xSnO0C7IHpo6zhYcemwuiKPKZ40snF+PaZeMBAP/a0hDV6FSCIAhieEFCmyAIgiCIlMAc7RxZaE8ulWZp/+3julEz5ovP0Y7Qo+32ijA7PGjtcwAAKvIMWDO3EgatCvVdNhzrsA7dBhMEQRBJgYQ2QRAEQRApweIIFNrfOnMiJpYY0Wp24KYXazPaqT3Za8fL25sUc7QHCm2DVg2jTg1AKh9vMUtCu9xkgFGvwdSyXADA0fb+IdpqgiAIIlmQ0CYIgiAIIiVYXIFCO0evwWNXL4ROrcLHRzpxrMOSzs1LKT9/ZTdufWkXPD5pMSGUow0oZmlbnNzRZjPHp5RKQvtIW+a+TwRBEJkKCW2CIAiCIFICc7RZjzYATCvPxdiibABAuzkzy8dFUcTuJmkGdpZWjZXTS5ElO9fBFMp9611W10ChXSaV2h9pJ6FNEAQx0tAMfhOCIAiCIIjYCe7RZhQZdTgKoDNDx3x1WV3os7shCMDOX50Dgza0yAaAEtnRbjM70Gb292gDwJRSEtoEQRAjFXK0CYIgCIJICRanFwCQYwgU2mysVaYGoh2VhXFVQVZEkQ0Ak0okMb35aBc8PhEqASiR3x9WOn6swwKvL3P72QmCIDIREtoEQRAEQaQEi1MabWUMdrRlF7d7mDja7WYH2vsd8Hh9SXk8JrQnyyI6EtMrJDH9ydFOAEBprgEatXR6NqYgCwatCi6Pj4/+IgiCIEYGVDpOEARBEERKsMqOdu6A0nHJse20pF9oP/VJHe5+cz8AoLowC+/ddFbYfupoYSFvk6IR2uUmAIBFLrNn/dkAoFYJmFSSg33NZhxpt2B8sTGh7SIIgiCGDnK0CYIgCIJICUw8BjvayqTtdLOzsZf/3NhtR11n4jOruaNdOrjQnlSSA61a4L9XKIQ2oOzTphFfBEEQIwkS2gRBEAQxQhFFES9ubRi2Y7IsYcLQiuWZ0l3DoHTcLo8gY/TaEt+m4x2SWJ8UhdDWaVQBznd5sNBms7RpxBdBEMSIgoQ2QRAEQYxQPj7SiZ+9sgfX/O0L2F3edG/OANh4rwGp43LY13Do0bYFvW/dCQptq9ODk712ANH1aAPAjAoT/znY0WYifLguphAEQRChIaFNEARBECOUw21SOXFLnwNPfnI8zVsTiNcnwu6WRKxRH9jzzMLQOodB6TgT2oJcvd1jcyf0eKz0vNCoQ4Hs3A/G9PJc/nOZKVBol5r8c7YJgiCIkQMJbYIgCIIYoSiTqB/94Bja+x1p3JpAWNk4EGK8lxyG1u/wwOlJrxPPKgEq87IAAL0JCtpYEscZ0wMc7ayA6wqyJbHeQ0KbIAhiREFCmyAIgiBGKA2y0NaoBNhcXjz72QkAksgVxfTOXbbKQlurFqDXBDrapiwNNCrJQk53+bjNLW3nmHxJ4CbqaH9R1w3AP7YrGmYoHO3g0vGCbC0AwOrywuVJzvgxgiAIIvWQ0CYIgiCIEQoT2l+uGQMAeHtPCw60mHHqvRtx8793RbyvKIr428fHsfFAW0q2zRomCA0ABEFAIQtES/OIL7tLEq+V+ZLATSQMzesTsX6/9H6umlEW9f1KcvW4cF4llk8r4YKfYTJoIa9JJCWojSAIghgaSGgTBEEQxAjE5xPR2COFbq1bNh46tQrHOqxY/ZePYXF68NrOkxHvf6itH7956wBuf21PSravP8xoLwYLREt37zFLHa/kjnb827OzoQedFidyDRqcOrEo6vsJgoCHrqzB09cuhkolBFynUgnIZ+XjCbrtBEEQxNBBQpsgCIIgRiDt/U64PD6oVQKmleXi9CnFMd2/Th5B1W11paTMPJKjDQDFw2CWtiiKsMmBbZVJKB1/d18rAGDl9FLoNMk7xcqXy8cTWQQgCIIghhYS2gRBEAQxAmFl42Pys6BRq7B6dnnA9YIgud7haOyR7u/2inCmoPc33GgvRtEwKB13enxgawysZDve8mxRFPHuPqls/LxZ5YPcOjZYIBqVjhMEQYwcSGgTBEEQxAjkRJfkSI8tzAYAnDOzjAeMAYAoSqneShq7bbj5xVqc6LKisdvOLzc7kl+SzFLHgxPHGYVy8ninNX2OtnKGdqKOdlOPHQ3dNujUKpw1rSQp28dggWjdViodJwiCGCmEPvoRBEEQBDGsYaO9qmWhnZ+tw32XzkFjjx2Pf3gMLo8PfXY38mSRBgCPfnAUr+48Cb1WjZY+v9Dud3hQGn1IdlRYBu3Rllza7jQ62ja5P1unUfHtMTvc8PpEqIN6pQeDVQhUFWYhW5fc0yt/jzY52gRBECMFEtoEQRAEMQJhpePM0QaAyxdVAwBe3NqANrMTffZAB7S2sQ8AsL/FDIvCxbYEOd/JgPdohxGdvEc7jWFobIZ2tk6N/CxpQUIUgT67m6eiR0tLrzTDvDJoDnYyYNtCpeMEQRAjByodJwiCIIgRSCihzciTRaNSaNtdXhxu6wcAHGo1o6kn0NFONhanJGLDlY4XyaXj6QxDY6Xj2Vo1NGoVcuVtjcc5bu6V3s/gOdjJwB+GRqXjBEEQIwUS2gRBEAQxzBFFEd6gYLMGucc6WqG9r7mPP4bD7QsIQOtPSY+29JjhSsfLZUF6otuWktTzaGBCO0unBpBY6Fhzn+RoV+Qn39GmMDSCIIiRR8xC+6OPPsKFF16IyspKCIKA119/PeD6V199Feeddx6Ki4shCAJqa2sHPMby5cshCELAv7Vr18b7GgiCIAgiY/H5RFzy6Gas/stHvKfY5vKgU3aCoxXatY29YZ8jJY42Tx1Xh7x+SlkOtGoBvTZ3gLs+lNjd0jaynmoWOtYTR+gY63mvTIGjXUCONkEQxIgjZqFttVoxb948PPzww2GvX7ZsGX77299GfJxvfetbaGlp4f+eeOKJWDeFIAiCIDKe5j47djX24nCbBc98dgIAeGK4yaAJCDtjmEII7V1NUn92qJCvVKSOs95rViIejF6jxtQyKYFtX3Nf0p8/GoId7URCx1iPdiocbb5daexnJwiCIGIj5jC01atXY/Xq1WGv/9rXvgYAqK+vj/g42dnZKC9P7pxJgiAIgsg0jndY+c9PfHgM15w6zt+fXTTQzQZCO9q7ZEd75fRSvLe/LeD2iTraXRYnttb3YNWMUmjU0hp+R7/kuJfkhhbaADC7Mg/7ms3Yc7IP58+uSGgbGE6PF69sP4kzphTzRPZwsDC0LC0rHZfet944nOPmlDralDpOEAQx0khbj/Y///lPFBcXY9asWbj11lvR398f9rZOpxNmszngH0EQBEGMBuo6/UK7x+bG05/WRQxCAwYK7W6ri9/nq6dU89sxcztRoX3v2wfxnee24+29rfwyJrRLTRGEdlUeAGDvyeQd13/z5gHc/toe/Padg4Pe1u72p44D8Tva/Q43fw9T0qNt9H+ePl96+tkJgiCI2EiL0L766qvxwgsv4IMPPsAdd9yBV155BZdeemnY2993333Iy8vj/6qrq8PeliAIgiCSgUMWYelAFEV8frwLZocbxzssAIAxsoB7e0/rgBnawTChbZaF9tF2i3z7LCyeUMhvN7EkB0DiYWjH5G081CoJZrfXx0vHS3IiOdomAMDek31JCUTbfLQTz34uldcfaQ+/gM8IF4YWTS/0hv1t2HtSKnlvkYPQTAYNcsKEvyVCfpa0XT4xNWX+BEEQRPJJi9D+1re+hVWrVmH27NlYu3YtXn75ZWzYsAE7duwIefvbbrsNfX19/F9jY+MQbzExGvj3tkb86F874fSk7+SaIIjhwbEOC+bf/R7u/u/+tDz/m7tbsPavn+OO1/fiuOxof2VhFQBJQDLhHL2jLZdx5+iRa9BiYokRADC/Oh8AYHEm5mgz95oloXdZJJGtVglcvIZiRoUJapWALqsLL29vwgtbGuJ2bL0+ET97dTf/vbHbHlK8e7w+frnNFehoM+d4sHTvo+0WfPOZbVj39y3w+kQ+2qsyBW42AOg0Ki7gKRCNIAhiZJD8Zdc4WLBgAbRaLY4cOYIFCxYMuF6v10OvD78iThDJ4MGNR9DUY8cl88dgxfTSdG8OQRBpZO/JPjjcPnxytCOq2/fZ3Hhnbwu+NLcCJsPAcLJY+e+uZgDApgPtfDzWGVOK8cxn9ei1ufFFXReA6IU2c5cL5WCyB9fW4ECLGRq1gJe3NyVUOi6KItr7JUeXOe1MeBfn6KAKEb7GMGjVmFKag4Ot/fjJy5JI7ra68L0Vk2PejuZeOxq77dCpVXD7fLC7veiyulCscNSf/rQOd7+5HxqVCksmFvIwNpY6Hm3p+J6TvQCATosLtY293NFOxQxtRn62FhanBz02FybAmLLnIQiCIJLDsJijvW/fPrjdblRUJCcIhSBiRRRFfmLInCKCIEYvzOlkAmownvjoGH7+6h48+XFdws/tcHvx8ZFOAEC/04NWs7QNE4uNmF0p9TS7vZIjO64wtOAKFto9PAFcEpKzx+Th8kXVyNVLt0ukdLzH5ubb09QjC22LtM2RgtAYs+TXxHhg/WFsre+O6rntLi+e+/wEWvrsfrGbb0C5SRK8TPgz3tjVDJ8IuLw+fHykE4dapfJyFobG3p9OS2ShfajVf5z48FA7WmRHOxX92YwCSh4nCIIYUcQstC0WC2pra/l87Lq6OtTW1qKhoQEA0N3djdraWuzfL5XbHTp0CLW1tWhtlQJSjh07hrvvvhvbtm1DfX093n77bVx++eWoqanBsmXLkvSyCCI2rC4vnB4fgOj6+giCyGyscil1v8MTVVn14TZpv7G/JfFQr8+OdfGQLkZelhaFRh1mjTHxy9QqARX5oR3UcI52gTGwjDvXIDm5iTjazM0GJIFqdXr8ieMR+rMZ158+Aatnl+PZ6xfjyzVj4PWJuPM/+6J67v/uasYvX9+LP7x7mM+xLjcZUF0gOf2NivncPp+Ig62B+/f6Lqksn5WOswqBhm5bxBJ29nkDwAeHO9Asi/xUJI4z8mmWNkEQxIgiZqG9bds21NTUoKamBgBw8803o6amBr/61a8AAG+88QZqampwwQUXAADWrl2LmpoaPP744wAAnU6HjRs34rzzzsO0adPwwx/+EOeeey42bNgAtVqdrNdFEDHRZXHyn4+Qo00Qox429gkAWqNwtVmiNwsFS4T1B6TRW0wsA8DEEiMEQeCONgBU5hugVYc+jPMwNIeUUt0d5GgzcmShbU5AaLeZnQG/N/XYoxrtxZhZacJj1yzEGVNK8KOVUwAEJq1HosPCKpH6+edUmZ+FqkLJWVY62o09NthcXujUKiwYmw8AvLeaCe3K/Czo1Cq4PD4+risUhxSCfXdTHx+dVpGXOke7UP7sBusfJwiCIIYHMfdoL1++PGIy6Lp167Bu3bqw11dXV+PDDz+M9WkJIqV0KoT20XYLRFGEIITvKyQIIrOxBgntyaU5YW8riiIX2g1dNri9vrACeDBEUcSmA+0AgB+unIJ73pSqwyYWS88/Z4xfaIfrzwYAkyy0RRGwuDxcaBcGCW3WT55I6Xi7OXAhorHb5h/tlRubw8uEud3thc3l4b3T4WCVB409/tLx8jz/AgQrZQeAAy2SOJ5SliOVeDf0gpnWWfLzqFUCxhZl42i7BXWdVlQVDHyP+x1unJQF+tjCbDR023Ck3QJBkEryUwX7rMz2xB3tXpsLOo1q0PeXIAiCiJ9h0aNNEOlG2Y/X7/Cgvd8Z4dYEQWQ6Npff4W2J4GwCkqvqcEutJx6fiBNdgW6sKIoBDnnEx+p3otXsgEoArl4ylvcas5TwsYXZyJXD0SIJbYNWDb1GOsT32dx+oZ0TunTc6fHBJbfPxErw/rKh28Yvi8bRVpKtU8Oglba7a5A+acDfS99tdfF8jYo8A6oLmKPt/+wOyqPHZlSYUBq0XczRBoAJxdJ7Hc5VZ1VPZSY9LqkZA0Aa6/WXtTWYVp476DbHCwvFszgTm4xhc3lw1u8/wCWPfJqMzSIIgiDCQEKbIBDoaAPAkTYqHyeIkYDT48UVj3+G37yZ3DFcthhKxxu6AgO3jrYHCrQfv1iLhb9Zz8uUI8EEalGOHgatGlcvGQuDVoWVM6RJCCqVgJny7OlQbqsSZZ82F9pBo7aUM5/jdbUHONo9tphKx5UIgoAiORk9eL8cCuUCxo6GHgByj3Yh69FWOtqS0J5enjvAac9SCO2JstA+3hFaaB+Wy8anluXihjMn4t4vz8G7Pz4TF82rHHR7EyFHL22jchEoHhq77eizu3G4zULjLAmCIFIICW2CwEDn5CgFohEjAFEU0TfKg5EOtvRjS303/vFZPdze+BzZUCjFTKs5tNBu7LZhV2MvLxtnBPdpb63vgc3lxbYTPYM+b3CI2PfPnowDd5+P6eX+ELTrT5+AReMKcMGcyJM6eJ+23a0Y7xUotDVqFXdzH/vgGL725BcxC27Woz1FLq9v7Lbz3ulYhTYAFOcyoT24o21VfE5scaQiL4sL7eZeO7xyfTgLQgvpaGujd7QPyUFo08pykaPX4KolY1Pam83wO9qJCe0uq38Bo3eU7z8IgiBSCTXnEAT8YWgqAfCJFIhGjAzuefMAnt5ch9duXIZ51fnp3py0wJxat1cq2Z5cmpzS3cEc7TazAxc+/An6HZ4BgjdYaDPhWhfGIVUS7ASHyoo4d1Y5zp1VPuhjMaHd3OfgZeFFQaXjgFQ+bnN58bdPpNFkXxzvxqqZZYM+PoOlji8aX4Aj7ZaAHu1oUseDKZYXA7pidLQZ5XkGFBp10KoFuL0i2swO5GVpcUKuPJhengtfUNaMsld5MKHNEsenprBMPBRGeRutCQrtHqtfXHdbXSgzpS4pnSAIYjRDjjZBwO+csKAhEtrESOCLui74RGBLXXQzhzORLsVM4WS2fNgUfbDBs7RFUcRPX96NXpsbXp+It/a0AADmVkn7j2OK/YfPJ6JfFkZ1nYNvXyJOcDBMaNfLgtGgDR1+lWvQBvzeEYXAVcLK3ReMLQAgOb5soSKe18EWA7qimBdtCxLaWrWAIqMOapWAynx/8jhzoUty9SjK0YcoHfefDk2Q++Gbemwh+9aZYGcl5kMFc7StIXq0X9zagJ+9vDuqqo5uhaPdQwnmBEEQKYOENkHA3wt46sQiAFIvXzLLUAkiFTABGFy6PJroUYixw8kU2u7wpeOv7jiJDw938N9ZafLyaVIf9bEOK5/OYXV5wMzTaEZWxdvbHAomtNnzBvdnM1ggWvA2RIMoimiXS8cXjCuAVu134LN1ai4OY6FIdsGj2Y7gfuXyPANUKmkb2Czthm4b76ueLrvQwaXjWYoFiJIcPYw6NXxi6L8tNnOczbUeKoxyj3ao0vGfvbIHL25rxEvbmgZc5/OJAdNiuhWOttLdJpKDKIoB+yWCIEYvJLQJAn6hffqUYhQadeh3ePDFcb9LaHF64HBTaAwxfHC4vbxsWhn4NNpQup6Hk5itoHS0u62ugL//9fulOddXLq4OuM9ZU4uhVgmwOP2TC5TzqY93WiOOxwSgGIuVuNBmvc67mnoBDEwcZ+QEieFoQsgYfXY3XPKiZFVBFr67fDK/LthtjhY26zseR7vC5O+VZiXgxzutfLFhUonUR56frYVOMYJN2aMtCAJ3tYMXR0RR5EI3Rz+0Qpt9TtYIYWjbTgRWt1idHiz/wwf47nM7+GXkaKeW+945iAW/WY/tUWQyEASR2ZDQJgj4T+jKTAacK/cmvrNXKgc1O9w443ebcPnjn6Vt+wgiGGU5MznaEkfakie0g8VMm8LVZj3Y580qx3xFb/zkklyMk0O4DskOqjJYrN/hGVQ8JtPRZq0wTT1S2nmhMfRjmoJLx2NwtFkQWn62FnqNGj9eNQVLJ0mVQWdMKY55mwH/a4+mRztYaJfn+UvC2Ui04x0WHJcFMxPfgiAEvMfK1HHpdjn8vkrsbi+vYAiuBEg14UrHlYs3R4PanvY1m9HQbcP7h9r5Zd02paNNQjvZ7GrshSgCOxtIaBPEaIeENjHqcXt9PHm1OEeP82dLIUPv7muF1ydid2Mfemxu7G3ug88X2Y0iiKGiRTEqqqnbPmq/m0rhWtdpTVrLBxNwGrkM+Scv78b3/rkDTo8X9V1+d/QceWHOZNAgL1uL6RVSaTKb2Wy2Bwr2wcrHeY92HCFiwcwPCsgrMia/dJwFoZUqwtuevnYx7rt0Du66aFYMW6vcTia0o3G0A9/fCoXQZu71sQ6/o83EN+AX9CoBfOY4g83hDh7JxsrGVULg7O2hgDvaQaXjTkUf+ZE2S4DwZjPdnR4fD45TOtrd5GgnHVbFEjxfniCI0QcJbWLUw8pv1SoB+VlaLJ1UjFyDBp0WF7bVd/PZq6IIWBKcX0oQyaJZ4Wi7vL4BJ3VfHO/CBwoXK1NRlr66vSIP/koEURS50B5bJDnUW+q68daeFry9pwVurwiDVoUx+Vm4eH4l8rK0WDFd6s+eIY/hOtAy0NEGBk8eT6ajXVWQhWKFYC8YpEebLSrEUjruL3X3C1ydRoUrF4/lQjdWWBhaNNvBPifWGx7K0T7RZeWCc4IiwIwtDmTrNAPS3SvkILXgIDwmtHP0A++TapiwV7rqQKCrb3d7w1a79NqlvxVljzaN90o+7G8+eL48QRCjDxLaxKiHncwVGnVQqQToNCruUr27r40LbcB/kkUQ6aYlyGlTnlC7PD5c+/RWfPMf2zK+NJQtlDGRmIyJAS6vjwuZeVX5Ade9vF0Km5pYnAOVSkBVQTa2/GIl/vzV+QCkGc0A+H7DHCS0j0dYCLC5PLz/NxlCWxAE1Iz1b3+o0V4AMFYud185Q1osiMXRNtul18eC15IB285umytAUAbj9Yncza2RE8+nlflHblXmZcGgVcHtFeH2itBrVKhUzLsuNUnvcXDZOABUyCOvBgpt6fUGJ7UPBcpgOWVrQ7DDvauxl//MEtIBv6gOcLQzfP+QDvrJ0SYIQoaENjHqYaO9lGWVK6dLQvuTox3YrxDa7KSSINJNc5AAUArt+i4rbC4vPD5xwEznTIP18bLRWoeT0KetDEL71ZqZ+OvXFuIHZ0shX5uPdQEAJpX63Vq9Rs3dzRmVktA+2m6B0+MdsDjHRnzVNvbikfePBpS6d/ZL+yKDVjUgoCxelOXjhWFKx9cuHot/fnMJ7rlkNgDA6vIOKMkOhz8YLHn9yoXZOgiCVEUUKazLrgioe3BtDf51w6k4Te4PBwCVSuC91oDkZrNEcgAok134UCXgzBkPFtrs9Q51fzYglbezBSWluA7uU6+Vw+8A4IRiv9Bjc8mJ2O6Ay4jkoQzLI6FNEAQJbWLUw07UlSWWSycVQRCkcUFKh4wcbWK40NInOdqst7RRcUKtnOMcyUEd6bi9Pt4PefpkKXhL6ebFC3ML9RoVCow6nDurHKfJo/9Y++ukktAzlCvzDDAZNPD4RBxtt/DFOdY7zHqFf/HaHvz+3UP4/HgXv2+HRRJ1Jbn6pJUlKx3tcEJbq1Zh2eRilOToYdBK3ycm+geD7ROTKTw1ahUvc49UPm6TBY0gAGUmPU6dWDTgfVN+ThOC5l5zR1sbwtGWP69OizNglraydHyoEQRBEYimcLRd4R3thi7/33+fzQ2L08NT4gES2snG5vKX9VPpOEEQJLSJUQ8L3ClWlFUWGHU8sVdZukiONpEKRFHEH949hP/Unoz6Pi290kkcE1JKoa1MHo5mdvNIhYkEQQBWye0e2+p7IpYbRwMLjVI6nXOr86HUcOH6jwVBwPQKf582E2bMWa7rtMLq9PBUcmXgF+/PTkIQGt/uqnwwEzec0FZuOytZZ6J/MPqZo51kh5eP+IoQiMac3GytOuzCxETF5zQxaHFkqlxmXi2XzispNOqgkxexlInzlhQsLMRCTojkcVaBwd6CfSfNEEURZocbPcqEcZt7wNxs5e/3vXMAf95wOFWbPipQLsabHTQWlCBGOyS0iVHPDnkER5kiRAfwO2RK+p0ktInks6upDw+/fxR3vbEv6vswR3vxBMlpVc7SVpaLJyMcbLjCREJBtg6zKvOQo9eg3+kJyFWIBysX2n4xlaPXBPT/Rgr6mqno02Y92tPLTcjL0sLtFfHWnhZ45MWAfoUzmcwgNOV2nzuzHKW5ekwrzx309qyypyNmRzu5PcvRBKJxoR3BXQ50tAM/s5qxBXj1xqX4w2XzBtxPEATuarcqhLZ/YWHoe7QB/+JPKEd77pg8aNUC+p0eNPXY0dAVOPav1+5Cl9yfzQS7xemBy+NDm9mBJz48jj9vOELiMAGCMxnazVQ+ThCjGRLaxKjmaHs//revFQBwaU1VwHWhhHbwqJ5wOD1e/L+PjuOb/9iG1j4qHyMiw4Rhj80dVW+s1enhJdOnTigEIIUesbE+RztGh6PNREOhUQe1SsCi8VIg1pa67oQel30Gwb27LHBLEAa6o0pmyCO+JKEtPZYpS8OrZF7a1shvq0wlT4XQBoDHrlmAzT8/e8C87FAwN70jyuRxCwsHS3IpdVHO4CO+wn1OSiZFcLQBYMHYAuRlh35fyuVANOWIL38YWnocbaNCIDPY+2DK0mJyKRsv1x8QhAZIpeOsCmRcUTavdOi1uXBS8Rr7qHIrboKnDLDxdwRBjE5IaBOjmkfePwZRBM6bVTbA7Vk4voD3K7ISwuCDaCha+uw4/88f4//ePoANB9rw3v7W5G84kVGwMmIAUS3MMDc716DhKdft/U58+dHN2N9sxrF2v7iu67Rm7Ixt5mgXyv28i+VFh4SFtjO0U8rK9MfkZ8EQoq+XMV0e8XW4zd+jbTJoMUcObNta38Nva1GUmvpnaAdW1ySKIAjQqKM73PPS8SiDnFLRow34BT/7roeCOdqheqwZE4qN0KoFqFUCJhWHr0IIBXe0+0KUjqehRxtQlI4HpI5L74NRp8EM+Th2sMWME92Bi2w9NhdfuCjK0fM++G6bi7eiACS0E8EclONCgWgEMbohoU2MWlr67Lwn9gdnTxlwvV6jxtpTxqLIqMO5cv9n8EE0FO8f7AhwEWl8CjEYB1v9pc7RCO1m+aS4Mi8LBUYdfrhyCvQaFWobe/GNv2+B3e2FRiVAqxbg9PjQkqGhPN0KRxsAlshCe2t9N3f348Hm9vf+Kjl/djlWTCvB91ZMjnj/cfLs7U6LkwvWXIPf0Vai7OlMlaMdC6x0PNpZ2pYU9WjPlt+rF7Y0hhXbTGgbI4heo16DR69eiIevrAnrXIejPG/gLO1ULSxEi1EvfSctyh5t5uzr1Zhe4Xe0Wek4+0x7FY52kVGHfPn96LG6A1x7EtqhqW3sxV8/OhZx4TI4MLUtQ/e9BEFEBwltYtSy/UQPfKI0Fmh2iBNgALjrolnYfsc5PDQnGke7OWi+ca+NTlqI8IiiGOhoR3FixoRHRb7kuN18zlR89NMVyNVruFgbX2zkIU+Z2qfdJS9iFchCe86YfOg1KnRZXQmNNWNp1kzUMEwGLf5+7WJcuXhsxPvnZWm548m2I9egDSO0/fuH9mEgtON3tJPbs/zlmjFYMDYfFqcHt760C+/saRmwTdGUjgPAOTPLsHpORczbENLRTsE4s1gIlTpuUTjarJriQIuZl47Pr5a+d712t/9vJlvHF6h6bC40KxYz6JgVml++vgf3vn0Q7+4LX6U2sHQ88Dv7o3/txMWPfIqPj3SkZBsJghhekNAmRi37myUXMZzIVmKS3YtoHG0mtNlJDLkDRCTa+50BycDBc3tDwRztCtlxA4AykwFXLvELwMklOZgojzPK1BFfPVa/OwdILR4s3Xv7iZ5wdxsUFoaWpYtPTAmCgDEF0mfj9krulylLg6qCLORlBQpSS4rD0GIldqEtfXeTLTzVKgH3XzYXOrUKnx7twnf/uQNX/b/PA24TTel4IvhnaftFqJn3aKcnDM0ofydtyh5tp9/RZq0kdV1W/jewRA5M7LW5+N9MoVHrLx23Uun4YPh8Io60SYtmW+rDt6YE57gow9D6bG78p7YZuxp78bUnt+AP7x5KzcYSBDFsIKFNjFr2ywFULCE4EuykKprxXswZYI9Lc0qJSBxUuNlAbD3alUFJ+dcuGw+NnHA0qdTI5wbXdWSm0O7iosE/tmq+3Eddm8A8bbvslBoHcUojETwyymTQQhCEAa42W7zz+URerl06QkrHRVHkCwWmFJRSTy7NxQNfnYczpkjBlMc6LAFlu/YoSscToTJE6XiqSuWjxR+G5i8dZwtDRp0GJbl6FOfoIIqAy+vDqRMLcdokJrTdvJWp0Kjnfze9NlfAYkIvHbMGcLLXDqc8T31HhEW8/qBwQGUY2tGgKpsNB9qSvZkEQQwzSGgToxbmaM+sHFxom2QXKrj/KhTMbWSPS2V4RCQOyf3ZbAZudKXjsqOdnxVweUVeFq6WXe3TJ5fwcUaJlFEPF579/AR+/spuuOSTXcC/iKUU2jXVUjL4zobeuJ/L72jHL7SrCgI/G5b4PVcORGPONgvX6rO7ufvNRlulA+bitpkdXMiGw+byguneVAnPNXMr8dS6UwAAPlEqf2awQLBEPqdIsPeiw+LE4x8ew/YT3Wnv0c7RDxzvFVxCz8rHAeDHq6byXuxemxudFr+jnc8dbTeaFYsJ0SwojzaUVUH7ms1h/zbY92NSqbTvVTrax9ql/TDbX3VRfgtBZDwktIlRSUe/E+39TggCMD2K2bK5vHQ88gmIzydyR5I52lSGR0SCOdpzZaczujA0uUc7b2A69Z0XzsKWX6zEaZOKuKjbUtc9qGgazoiiiN++fQD/2tqIjQoXiJU3Bwht2dE+3NYfIEZiwa5wCOOluiDQ0WZC9LrTJ2DtKdW4bfV0AEC/U9o/sMTx/Gwt9JrUCMdoqMwzoNxkgNsrYkdD5PJ7JirUKiFl5dsAoFWr+MJEl8JpZ59TcGhdsigy6qBVCxBF4LfvHMTN/96lSB1PU+k4c7RDpY7L182SF3mXTS7CkolFvETc5fXxUYLjiowoNEqv4WSvLaBVIBOPWc29djz2wTH0xbnwfVyxWOnxidjV1BvydszRZmPllI42W/BkoY3dVlfGToQgCEKChDYxKmFl4xOKjciO4mSauVGDOdqdVidcXh9UAniAGpWOE5FgQWhnTSsFMLijLYqi39EOIbRVKgGludLlsypNqCrIgt3txYeHR274TnOfg7vMbO79rsZeHG6zQK0S+N8aIPWqV+QZ4BOB3U19AIDtJ7rx+3cPwuP1DXzwEFgVPa/xonS0c/QaqOWS/uIcPX77lblYME5y3plw4/3ZOekrGwek/nJWavzZsa6It7U4/f3ZAivJSBFFIVxA1qMdPIYtWahUAh8ZB0iz6rvl/Xm652hHcrS/deZEfG/FJPzh8nn8cq1a+nycHh/0GhWmlOZgZoW0EPfBocB9Q28GCu2/fnQcv/vfQTy/pSGu+x8Par8JlwHhd7Sltp0emxtOj/Q9PSo72qeMl75TXp+YkYsaBEH4IaFNjEp42XgU/dmAwtEe5KDIAmVKcw0ozvWHodGqNRGOk7I7fap8Qt9pcQaURwdjtnu4wFCGoYVCEAScP6scAPC/vS3J2Ny0cKTN38e+6UA7nB4vHnn/KADg4vmVvMSXURPUp/3Tl3fjkfePYdPB9qieL9x4r1hQ9miHEmXssn6HB6IoDosgNMZpEyWhvflYZ8TbmYewjJqV0yvHJVqjTB1PhL99/RRs++Uq3oPO/jbT1aOdE0JoW4MqMIpz9PjJedP5/kEQBORl+as+pleYoFGrsGh8AXQaFe89ZmSi+GPfmxNd8eVVHO+URDI7ZwjXp82E9tjCbP6dYQKbOdrTK3L9FRpWmrNNEJkMCW1iVMKD0KLozwb8PdpOj4+vToeClfRW5huQL5/YiOLgJefE6MTh9vIe/hkVJujUKohiYLlhMCxsryBbG1Vv6uo5ktDeKAvUkQg7UQWAfqcHT3x4HO/tb4MgADcuHzjTmiWP72zoQVOPDcdkNyrambb+FOf4xZTS0TaFSKhmgsnjE+H0+IaX0JYd7d1NfRHL75kbPxSjrnhfa4jS8URC6wYjS6dGcY6eBwsy0uVos0UFq3KOdhQVGAWKGeKz5eOeQavG4vGFA26bibkibHGyOYrWnFAca5f2IZcvqgIAbG/oCbmAzo71JoOWn1/sazbD4faioVsatza5JIcvHLGeeYIgMhMS2sSo5EAMieNA4IlkpPLxZkVIlU6j4ieAmXjiQiQOC8rRa1TIz9aiLE8SWZEEIZ+hPYibzaipLkCZSY9+pwebj0YuBU4mbWZHVMnV0cDG6ujU0iHrgfWHAQCrZ5djshw6pKRmrFSWvaOhB+8rXOxoT2qZQ5iIU5pr0PIQqlCizKjT8AA8s8PNe7TTXToOSG58VUEWPD4RWyOMMmL7wlALCcmm0Ci9L6FKx+MdwxYLSqGtU6vS1kfPHW2XBz1WF5weL38fImUK5CuE9qxKf/L96XKiOyC5sEBmhqE55CqVll77ILcciNXp4S09a+ZWwqBVodfmDjk2URmWN1t+n/c3SzPNfaKURl6Sq0cx+z6T0CaIjIaENjEqaZMFcfAInnCoVQIf1xFRaMsH8TFyGjRLdc3EnjcicdjJW3meAYIgoNzE5vZGEtrSdZX5A/uzQ6FSCVg2STqZZpUcqaau04qlv92ECx/6BN4ktE0caZdKx796SjW/bPm0Evz6otkhbz+3Kg9FRh06LS78URblQPRlmskIQwP8rrYpa6AQVakE5MiPb3F4hpWjDSjLx8MvzvAe7SFwd4tDlI4H9yankvEKoZ0uNxvw92if6LJh2e824Ycv7OQl9MYIjjY7FgHA7DH+BebTJ/uFNgsGzcTScfZdibRvDcbt9eFrT36Bb/5jGwCpqqIkV4+5VfkApOyHYJRz1mfJ7/Pek328KmdSaQ4EQeCONpWOE0RmQ0KbGHV4fSL65VK7/BAnwOHw91SGPwnxu42SCGJ9WBSIRoSCOddlcnhZuexSR0oeZzkA0TragF+89QzBOBlRFPGzV3bD65NC2xI9aRdFEUfkk9SrTx2Lx69ZiBe+dSqevnZxWFGq16hx3ekTAARWk0TrHiVrbBRLHg8nzJR92sNNaJ81rQQA8PaelrAZE/1pKR0PEYY2BEJb6Winqz8bCHyvbS4vPjvWBZuTvQ8RHG35WKQJCg+cWWHi7+0MucKr1+7GyV47Xt7eNGLbTYKxu6U+dIvTE3Ur16HWfnx8pBOfHZcWmybK34FFcpBhcCCazxc4V55VDhxoMeOwnDPB0sipdJwgRgcktIlRh7IsLpTTFI5cuTzSbA/vaJ/sZW6jJIIK5PEp8Y4UGUr2nuzDF8eHrrSYUAhteWGGLdBEcl1Yj3ZFlI42ABTIJ9LdQ7Dg89L2Jmyp8zs93QmK+/Z+J/odHqgESeycP7uc9xBH4ppTxw0QgNEK7WQ52mOLJKFdkB16Ljbbp1icw09or5xehhy9Bk09dmwPM+ZrKGdK+2cPhxjvNcSl48PB0WaYHR645DT9aErHp5TlwqAI+VOpBKxbOh6luXpcOK8CgLQY/dOXd+HWl3bh1pd2Z0SYp10xDo0tVg5G8JxrthCxMIzQtro8EOW3ypSlxcRiIwxaFawuL/67uxkAeKtLES8dJ0ebIDKZmIX2Rx99hAsvvBCVlZUQBAGvv/56wPWvvvoqzjvvPBQXF0MQBNTW1g54DKfTiR/84AcoLi6G0WjERRddhKampnhfA0HEBCvjNurU0Kqj/xMwZQ10tOs7rVj1wId4Zbv0/WX9X5Wy28gC0XqHuaPt84n4+lNbsPb/fY59zX3p3pxRAxPa5SbppIuVx0ZyntlJYmUMjjYLQmLubqRU80R5aVtjwO+JVnOw/uzxRcaY+mLzsrS4+tSxAPytHJ1hyjR7rC788IWdeP+Q1M/NAsASdbSvWTIOX11UjWtOHRfy+hxFlQzv0R4mQjtLp8b5s6Ugvdd2ngx5G+5oD0np+MCe1qFIHWcoS8eHwsEPR6TXGun7yhZ/WVCgkh+unIItv1iFSSU50GmkYyJbLPvvrmb8cf0hAMDR9n48sP7wiAz3tLv9zjxbrByMbnl/MXuMCfddOgc/WjUFALBAzoA41mEN2FezFH6tWoBeo4JGrcL0ckmcH++wQqMS+N8U29dTjzZBZDYxC22r1Yp58+bh4YcfDnv9smXL8Nvf/jbsY9x000147bXX8K9//QuffPIJLBYL1qxZA683M0qUiOENK2XND+MyhYM72oqTjDd3N+NouwUPbjoCq9PDT5aZ25iXzUrHh/eJSafViW6rC6IIPPr+sXRvzqihVQ5DK5N7s/nCTIRy6+D2hGhgjmq31YWTvXYsuGc9fvn6nri2eTCag9yiRB1t1p8dKvRsMG45Zxru/8pc/PEKaZ5wuJPapzfX441dzfjRCzvR0mf3h0slMEcbkDIgfnfZ3LDbzpzRHpubv0/DIQyN8eWaMQCAt3a3hCwhZj3aQxOGFqpHe+hKx00GLRdHOfrUv95w6DWhT9t0ahUXyaG4fFE1/u/Ls3HzOVPD3kYaAya9NrfX72I//uFxWJwe/GXjUTy48Qje3DXyRgWy7woQg6Mt7y8mFOfgysVj+WJPgVGHSSXSwssORbVHv6I/m82Vn6WYbLJu6XheGVHEFo6oR5sgMpqYl2VXr16N1atXh73+a1/7GgCgvr4+5PV9fX148skn8eyzz2LVqlUAgOeeew7V1dXYsGEDzjvvvFg3iSBiggntWMrGAfCZmMowtOPy2KATXTY89sExiCIwrigbRfJJIXMSh3u4zMke/wr/23tbcLTdEpewIWKDl47LQpt9J8NVQIiiqAhDi8HRNvorK3ac6IHF6cFnEUKu4sXrE3nA26xKE/Y1mxPuC2ezZ+P5Puo0KlxxSjXfhj67Gy6PL0CQiKKIN3ZJZZ1mhwdf+svH8PhEFOfoeXlnqmDOaL2cXqxWCWHLzNPBqROLUG4yoNXswEeHO3HOzLKA64eyR5vtU3tsLnh9IlTC0JaOA1JVRafFxY8F6YAJOEByTpkgjjTaC5A+o6uXhK6sUJKfpeVtDNWFWeixunlrQ6u8yBftmLzhhEPhaLdE6Wiz0nH23VOycFwBjnVYse1ED1bOkP4uQrVSzBmTxx/jByun8MuLQmQOEASReQx5j/b27dvhdrtx7rnn8ssqKysxe/ZsbN68OeR9nE4nzGZzwD+CiBcmevOyYjtZ8vdo+0WzcrzHYx9KTvDF88fwk6GRUjqudCFFEfjrR+RqDwXBQpv1UYZztDssTjg9PgiC/z7RoHS02+WT6Ejp+fHSaXHC6xOhVgmYJgcuBfc5xsqJLmn27Pgi4yC3DE9elhZqlfQ3GVzKvvekGXWdVmjV7Ho31CoBD145P6JDmAzYPoXN+S7O0UGlEiLdZUhRK0pd39vXOuB6Fvw0FD3LbLHIJ0r7U5fXB4/cO5xoiX+0MDcynWFoAPDkNxbhV2tm4vrTJ/LLEs0TYOQpFqCnl5sUoV1OLgqH+/EsGLfXF+DQB1fdhKPbEl5osxGCu5t6+WV+R9v/WVxSMwbXLZuAx7+2MOC9ZY52skYgEgQxPBlyod3a2gqdToeCgoKAy8vKytDaOvBADgD33Xcf8vLy+L/q6uqQtyOIaOiTTxKYCI4W1qPN+rBEUcRx2W0DwMcYXTy/kl82UkrHT/ZKYoaVxgWHvBDJRxRFRY92oNAON8d2X7O0yDih2BiTCGRlt2aHh4+gS4XQZo9dlqtHcZKSzhu7pe9mtKP4QqFSCfw9CD6x/U+t1H987qxyXLpAKpX+1ZqZWDqpGKmGnZAf75T2I6W50S+eDBXnzpLcuo0H2weMajMPoaOtVau4UOm2uribDQxN6TgAnD+7HPnZWpw5pWRIni8cK2eU4brTJ6C60F/Vkqz3QCkGZ5TnKpxXJ//bGe7Hs2CU/dlA7I52Yc7AcwXmVO89aYYoJ6CFmitv0Krxqwtn4pTxhQH3Z20IZocnpZkZBEGkl2GTOi6KYkBJlJLbbrsNfX19/F9jY2PI2xFENPgd7VhLxwPLwLusLpgdHii/tnPG5PHxHUCgk/jvbY0Bwnw4wVb4TxkvLYC19Dn4yQORGsx2DxzyyJlSOQzNXwHhDvn+7zspBdWxk7xoycvS8u8pGzNjd3vh9ib3BI+NJSvPM/i/+wm4Xx6vD01yW8O4oviFNhC6VFMURby5W+o3vXheJe7/ylx8+vOz8Y2l4xN6rmjJlQUqa0EZLkFoShaPL0RelhbdVteABTiLoid1KOCfodWFPfLfQo5eE1OoZSKsnFGGnXecg1VBJfTpgo2PA4DsJC12sMVhAJheYeLOa0ufgy+sjLRxlcpFGcC/IDgYrH86VAvJ1LJcaNUC+uxuvo9i+5b87MH/HkwGLTRy9UqiORYEQQxfhlxol5eXw+Vyoacn8IDd3t6OsrLQBy+9Xg+TyRTwjyDihQvtKA6GSpijVieXi7OT4zH5WZgnJ7kq3WzAf8Ddc7IPP315N67+2xfDMrGVnSiwsSU2lzfiGDMicdr6JVGan63l43bY4o/HJ8LqGhg+tSdOoa1W+UOODrX288stSXa1m2WhXZGfhUJ5tF0ijnZLnwMenwidWhVTqXwoikOED/Xa3Lyn/MypJdCoVTyhfCgILrlmAUvDCY1ahbOnlwIYWD4+lOO9AP/s4S6LCw+sPwwAuGxh1ZA8NyOcIZAOqgr831VjChztaeW53Hk93OZfJO4daY62K9jRjm4hmQngohCOtk6jwrRyqT1mr7xfZsfRqoLBFwUjVdkQBJE5DLnQXrhwIbRaLdavX88va2lpwd69e7F06dKh3hxiFMJOEmJ1tFkY07F2C0RRRJ1c7jmh2Ij7vzIXPzlvGr5+2viA++QHPUdLnwO/eXN/nFueOk7KK/yTSnJ4gFuLObpVfyI+uPurEJAGrT85OFQf5N6TUun47BiFNgAUyg4z69EGkPRFHxaWVGEyoFB2gboTOClvkMvGqwqzeI91vBSFGKfDXn+2Th0wW3ioyAlygs9Ic0lyOM6VHdz/7WuFR1EFMZQ92oC/BeLl7Y3Y2dALg1aFG1dMGpLnHo6MKVCWjifnM2BVNXqNCuOLjNzNZZUwwMhztFniODvmOz3+SplIsB7twhA92gAwu1IuH5dHYjb2yPurgugW61i1wFef+AxXPPEZlZATRAYSs9C2WCyora3l87Hr6upQW1uLhoYGAEB3dzdqa2uxf78kJg4dOoTa2lref52Xl4frr78et9xyCzZu3IidO3fimmuuwZw5c3gKOUGkknhLx8cXGaFWCeh3etBmdnJHe1JJDqaV5+J7KyYP6JtVjhArztFBEIB/b2tKSeJzIrBSujEFWSiX5zNHOwKFiA/mpJYqhLYgCHxxJjipno3mAgJHxkRLqHLGZPdptyTZ0WZCe2wC/dkMJhg6lULbPrCncihRClS9RoXFEwoj3Dp9nDm1BHlZWjT12PHXj48DkMr6mYAZqrnSbPHm/UMdAIBvLB0/LPvahwq9Ro0yue0k0VF0DBYSOq08F2qV4He0FZUwI87Rdkt/53lZWkyXXejLH/8Me5r6wt7H6fGiX15IKg4zfWCWok8b8Dva1VE42oB/VJvV5cWWuu6AaiOCIDKDmIX2tm3bUFNTg5qaGgDAzTffjJqaGvzqV78CALzxxhuoqanBBRdcAABYu3Ytampq8Pjjj/PH+NOf/oRLLrkEV1xxBZYtW4bs7Gz897//hVo99I4CMfqIV2jrNCqMk0/4j7ZbeFLwxAjlnsrnuG31DHxlgVTmuOlgW0zPnUosTg9/Tyrzs1Apz2dmoolIDe08CC3wJI4J4r6gk1lWNj6x2BhXT2woVybZjjYX2ooe7WQI7XHJENo5/lAnBnv9phgnECSLXIVAXTKxKC2uejQY9RrcsWYmAODPG47gWIeF994LQuyjEuNFmf48tyoPN541eUiedzjDRF2yHO3TJhWjzKTHpfIMdea6MtEJSMeMkeS+2l3Stmbr1Hj4qgWYVGJEq9mBO/6zN+x9WNm4RiWE3T/4A9H6IIoimmJ0tIPPHZgjThBE5hDznnn58uURe1vWrVuHdevWRXwMg8GAhx56CA899FCsT08QCcNEZTSBJcFMKs3B8U4rjrb386TgicXh5/vqNCr8as1M9NhcuHTBGHh9Il7e3sTTo9OJ3eXFb97ajylySXxelhY5eg0q8pnQptLxVMKcVdY7zGCLM8Ejvlgf4Kw4ysaBwOoKRrId7VaF0GbCvl8+KQ+u9th7sg8vb2/CD1dOCVua2dCVeOI4gzlzynFjbBxP+hxt//OeOSX1KeeJ8JUFY/DfXc348HAHHtl0FNecJs1kLjcZhjCMrBRv7m7GBXMr8KOVU1M+fm0kUF2YjW0nepLWoz2tPBdf3O6vLgzVnwwAvXbXiKkmsLmk/ZxBq8bk0hw8eGUNLnjwEy6MQ8FaTAqMurB9+dNl17/L6sKRdgvfn46JUmjfcOZEGHUaHGrtx5b67ojbQxDEyISOUsSoI15HGwAXpQdb+7kImDBIgNF1p0/ALedOgyAImCmX/O5vMac91fudvS345xcNuOu/UptHpRwCVcFKx8nRTimsB7sgSADnKZLHlezlQWjxhUGGErPJFNpen8jL4SvysmAyaMHaqkP1m//xvUN4enM9/rurOexjpqJ0PMDRZqXjQ+TIBpOtKPc9a+rw7M9mCIKAr50qietDbf0xl8kmg5qxBfjgJyvwk/Omk8iWWTG9NKVtB8ELgYyRVD7OxnuxEWhsXxBuugOgCEILswgISMKdnRO8vaeF3z7a6oLp5Sbcc8lsnDJBCiFt7KbFbYLINNJTL0cQaSQRoc0C0d7Y1QyPT0RBthYVMaQhTynLgUYloNfmRkufg4vbdFDfFbh6PoYLbXK0h4LeMOn3vHTc7saRtn7kGDSoyMvimQDTyuMT2sGCHvA7usmg0+KE1ydCrRJQkquHSiWgIFuHLqsLXVZXQC+6KIqobewF4O9VD8WJLuk1jytKPI2bOXOdIcLQTEMU5hVMVUEWxhZmoyRXz/ctw5nxxdLnUN9p5fPNqwrTtw8jgIvmVeJLs8uhSVFVQTihmUhLyFDDUsez5NYMto9l0x1CZQzw0V5hHH1GzdgCHGztx+s7TwKIvmxcCUspp9Jxgsg8aEmYyEjqOq2wu6Q5wd9/fgcue2wzXB4fXB5/gA9LV40FdjLMHuOrp4yFKoY0ZL1GzR8j3eXjTd3BQlsSQuXUoz0kMEcoWACzMLTjHRZc8NAnuOKJzwAoAuviXJwpSHEYGtu+slw9TwgvMIbu027otqFHfv2d/aFH2/TZ3Hxub3USxBxz5jotTu5ime2sRzs9jrZeo8bGW87Cy985bViNjQpHdWEWVIIU3rSzoRdAdKOMiNSSKpENSC0noQ5xPSPQ0c6SHW2DVs2DyMItGHTxxPHIs+2XyJUEbOG6Ko7qG1YVEk0SOkEQIwtytImMY2dDD7786GZUF2ahproAb+6WSroOt/XzWbyCEN9ImkklftdJJQDXnDo25seYWWnCwdZ+7G8245yZoWfHDwXBq+fshLlSkTouiuKIEAAjEVZOHZwVwCotNh/rgsvjQ2O3HY3dNh5GVJkfX19kQcjS8eSdLLcqEscZbKRYt80FURTx05d3w+72YuWMUn6bUDNk9zX34eFNRwEAJbn6pAQ9lZr0UAnSaJ+OfidKTQYu5NPVow1gyPqbk4Feo0Zlfhaaeuz4/Lg0OaE6DgePGDmo5XnPrBJEoxLg8Ykh20GGK7YgRxuQFjhbzQ702d2oDnGfaErHAWDJxMCS/fgcbek+TT02OuYSRIYxco7wBBEl/90lCevGbjveUPR/tskHVUBK+43FiWYY9RruKJ47szwuN2dmBevTDj9aZChg/WC/WjMTly4Yg68slBLRmaNtd3sHjJgikgcrHQ+etc6ENxvlBQCfyaKmMIb+v2CUPdrshDOZjjbrp2atBwBQoBjx1dBtw0vbm/Dm7hY89sExfhtlKTcglcyv/evneGevNBJyxbTk9C7rNWre6320Qwoy9DvatOYcLePlMn42QzsZQXXE8KZI4eqOK5I+75HkaDuCerQB/342XK85c7QHE9oVeVkBGRLxnBNU5mdBEACH2zdgf0gQxMiGhDaRUYiiiI3y6KzgctP2fif67MxFjL1snLF8Wgn0GhW+s3xSXPefVSmlRqezdNzp8aKtX3IgL5xXiQeumM+FmEGr5j9T+Xhq8PlEf1ZAsKMd4rvJ3MN43WwgsHR8UqkklpIptPfK3+cZFf4ecvY96ra6sa2+h19+uM3Cfw52tJ/9rB79Dg8mlhjxyneX4ndfmZu0bZwoV6SwfnfWox3PuLTRyvjiQCERj4NHjCyUfcqs9WkkOtoGhdBmlUM9YV4Hm05QOEiPNoCAILp4/h50GhXK5Wq7UH3aXp+Ifc198PrSG6BKEETskNAmMoqj7Rac6LJBp1bhfz86E1tuX4krF0uFYUpHO54gNMY9F8/G1l+uwvzq/Ljuzxztph572hzj5l4HRFFyNotDnEiwgz4FoqUGs8MNFnYbnBUQ7HADwOfHZKGdF7+oUfaCsxaIZM7R9qei+8ePMaHdY3Nhe0NPyPt1WVy8Z9rm8uCpT+sBAD9aOQULxxUktYxykjwh4Bh3tNNfOj7SGK8IptOoBL6vIDKXIkXyOBPa4QTqcISnjmv9lStsfxg8RpHRzcLQBunRBvx92kD8rRSR+rT//mkdLnjwE/z907q4HpsgiPRBQpvIKNYfkNzspZOLYNRrUGoy8FmfkqOduNBWqYSETszzsrW8/PxAS3pcbZ4YXJAVUsgw5/QkhbOkBFauaNSpB4wpCjXfvVmuLEgkpV75nWdCO1mOttnhRl2n5BIrhTY7me20OLFddrRZ+SZL+nV5fVzw/ntrI7qtLowtzMYFcyqSsm1K2Os+FuRoU+l49CiFdkW+IaVBXMTwgJVPZ+vUfPxjoqXjoijCN0QOLU8d1/m/q3y6Q5gFAyZ4S02DC+1TJxYBkBaexuTH10rB0vsbuwc62p8f7waQ/gBVgiBih46QREax8UA7AGDVDH/IGDtQtpsdXOAEl+sONWyedioPnK19Dvxvb0vIkxlWnhauv3KmXN7+7Ocn4PH6UraNoxXenx2iTDzSIlC8ieOAlEx8xpRijCvKxjy5GiNZYWj7Tkrf4zH5WQGha0zYfnioA4fb+wEAt31pBgDgjCnFPJCwQy4f/+hIJwDg66eNS4mAmyS7ccfaJUe7fxiEoY00lKXjQzlDm0gfJbnSMbQoR+d3ghNwtPvsbpz+u/dx3T+2DonY9gtt/4IaOwfosbnxx/cO4fLHN/Ne7jazA+39TqgEYHp57qCPX12Yjd99ZQ7+eMU8nmweK1Xc0R4otA+2SvtXWvgmiJEHCW0iY3B6vNgpl6cuVwQolSXZ0U4Gs2ShvT+FQvuO/+zFd57bgQ+PdAy4jgWhhStzu37ZBBRka3G4zYLntzSkbBtHKz1hEseByGPnEp27/sx1i7HpluW8XcCcJEc7VNk4AJw1tQTTynLR7/RAFKUgpa+dOg6vfHcp7rt0DkoUI7cA4KBc4TG3Kj8p2xUME/7NfXbYXd60j/caiVQXZvNxTyS0RwfM0S4y6nnWQyKO9ufHu3Cy144PDnXgzT0tSdnGSNjcA1PH2X62x+bC05/WY2t9D3Y19gIA9jRJ+7PJpTlRh09+9ZSxuHj+mLi3kR2L2bGZ0e9wc3ddGZBJEMTIgIT2MIacxNho7LbBJ0olqUrnz+9oO/nMzHQLbX/yeOqENitBY8FPAdcN4mjnZWtx8zlTAQAPrD8Mmyt5oVmENCMaCC20cw0asGr+YDclkTA0ABAEAWpF60OyHO09TGhXBQptlUrATaum8N8Xji2Q/h9XgPxsXcBs6z67m5fIT4vCRYqHQqMO+dlaiKLUp81GppniGPU3WmEjvgAKQhstLJ5QiEKjDufMLONVOIk42rWyoAWA+/93EE6PN9FNjIhdPn4pU8fZgkFDl390Ikv85vuzMfkp3S4lU8qkfd4XdV042u4Pizzc1s9/bjU7KBCNIEYYJLSHKY3dNtTcvR6//u++dG/KiIEJygnFxoC+YzY7u8PixCH5oDW+KL1ODCsdP9LWn7KTDOaatpsHJoc38R7t8O/DlYvHotCoQ6/NjWPtA8U6ET98hnYI91qlEvhC0NJJxdArerjHJEnYsJJth9sHdxIW9JijPTvI0QaA82aV8yRy1svIKM6Ve7j7nTjUKv1tVuYZUroQxlxt5ck+pY7HBlsAmlKWk+YtIYaCiSU52P7LVfjeisl8ZF+vzc1DDGNll+Jvr6nHjue/SG3VlD2Uoy0LbWX7Voc8icMvtP0TFFLNvKo8rJhWArdXxC9e28Pf2wMtfqHt9Ylo76dJIAQxkiChPUzZUteNfqcH/5NnyRKDw8KYJhQbAy4vMuogCNJBakdDL4DAEUTpYEx+FvKytPD4RBxRjDpKFqIooscquZVtIYR2o1yKFjwCTYlGreKVAXRwTy7+Hu3QAo8JzSllObzqQKdWoTiKBNxoYEFkQOKBaP0ON46HCEJjqFQC/t/XF+Kei2fh0gWBpZV+R9uFQ3If4vQU/22y5PGd8r4gSzswkI6IzJ0XzsLvL5sbkIVBZDZs8Zr1aHt8IneCY8HrE7FbLs2+eslYAMDzXzTELdqjwcZ7tJXjvaTXwUQ4IO2HRNG/fXNS1MISCkEQcPfFs2HQqvBFXTfekkvqWX82o5nKxwliREFnF8MU1ovT0udI6gieTCac0NaoVfyE3uXxQSUAU8tSU5oaLYIgpLR83OrywiU7lW3mwDnF/Q43uuUS+kiONgCUyWX3wY9BJEZvhNJxQOrhVwnAKeMLMVYW2hX5BqhUyRl1pVGreBllouXjbPGqujCLj/MKpqogG187bfyAgDNl6fhB2dFOVdk4gznaO+Q8B0ocj53qwmxcvqiaEsdHIQatmlfZ9MXRp32swwKL04NsnRo/PW86DFoVjrRbsEsWt6nA4RroaDNnXkmnxYk2sxOdFifUKv8xeqioLszG1UvGAZD62AHgoMLRBkKP/yIIYvhCR8lhijJdUtmvQ4TneBihDQCluX4ncEKxEQZtfMmgyWRmCgPRWC86ALQFudH1nVLZeHGObtAS3RI5SC6UK07ET6TScQD4y9oafH77SkwuzeFCO5EZ2qFg5eOJOtpb66TRM6eMLxzklgMJJbSjSflNBOaYs4U5KhsniNhg+w5rHNkdrGVjzpg85GVrcf6scgDAy9sbE94uj9eHv39aF9DXDPjD0JQ92qH2vR39TuxukrZvSmlO3AniicAWGus7bRBFke8Xmehv7qVjMUGMJEhoD1OU6ZJHgg4aRGjCOdqAv08bSH/ZOCOVyeM9iqCa9iA3uq4r/PsUDHO02/vJ0U4mg5WOa9UqPv99RoV04pVsp5cJzEQrZrbIQnvJhHiEtnSy26Ho0Z5entq/z+DydgpCI4jYMMqtJ9Y4SseZ0J4vjxi8bGE1AOCN2mY+hiteNhxox6//ux93/3d/wOX2EKXjofa9nRYn9srH41B5E0PBRPm4XNdpRVOPHRanB1q1gDOmFAOg0nGCGGmQ0B6mBAptcrQHo9/hRocsBseHFNp+R3u4CO3J8kxf5sQnk26Fo21xemBRnBDVdcQitOXRaORoJ5UeW/g52sFcuqAKT61bhJvPnZrUbUiGo+30eFErO0BxOdpypcmupj5+QjmxZPDvZSIUGnUBUwlotBdBxAbLeIhn38EcYya0T5tUhDH5WTA7PPjak1/wUX/xwPqZGxWzqL0+EU6P1EalLB03aNUwaANPgTstLtTLx+MppekJ+mPnL819dt7eMrk0F2PlAFcS2gQxsiChPQwRRTFQaFPp+KAMVg7NSqABv0OYbsYVSgfUToszLmcgEj1Bo1eUQrmuU/o+TSge/ESCldyTo51c+iLM0Q5Gq1bh7OllfCRXsmCPV99pRUtffCdvu5v64PL4UJyji2rhJhg2R5sxpTQX2iHo+52tSBNO9vtKEJkOE9qWOI5bDV3SsZotNKtVAv5w+TzkGjTYdqIH3352e9zbdUxeRG43O3m4mkMRdhY8Ezu4fLyj34l6ueIr1IL9UFBk1CFXr4EoAm/tlgLR5owx8ZF6NEubIEYWJLSHIZ0WF1we/8gdKh0fnMHKoYejo52XreWLAg3dtkFuHRsscZyhDDPzl9gPPuKMOdrUox07Xp8YNkmXlY4XRCG0UwVztO975yBW/OEDHO+wYNPBNpx5//v49GjnoPd3eXz8dqeMLwwYqRctxUFC+yfnT4v5MeJBWT5OYWgEERts32GJ0dG2u7wwy/cpy/Mvfp82qQgvfOtUAFJIYbyzoo/JpoTd7eWLADZFObo+aLoAW+hkGZMur4/3RI8vSo/QFgQBE+Sqng8OdQCQ0s+rSGgTxIiEhPYwhO1I2cGsuc+RcDJwpjNYOTTrd83P1qJc0a+dbsbJ5WAnupIstIMdbTkQTRRFRWhc9I52p8UZ98nPaEQURXz9qS9w+u/ehy0oMMjrE9EnC+28MGFoQ0GposrD4fbh4U1Hccfr+9DQbcMD6w9HvO+nRzsx56538ecNRwDEVzYOSD2T86rzUWTU4eXvnIYV00rjepxYmaUU2uRoE0RMGON0tFvlBdtsnRq5+sAFLpZBIYr+sMhY8PlEHO/0V/+xKiyHYoZ28NQGJrQr87P4+RYzOVgIZTpgIp9NDpkzJg8VstDud3hoEg1BjCBIaA9DWOL41LJcLnT+U9s8YJ4i4efEIOVeC8cVYFxRNr56SnVczluqYAfzhu7k9mkre7QBvyPdZXWh3+GBIPhFfiSKcvRQCYBPBLoS6J0bbexrNuPTo1042WsfMDWg3+EGM7oHS31PJTeumIS7LpyJB66YBwB4dedJvsi3/URPxEqat/a08L7Hklw9zptdHvd2vPKd07D5trOxKE6xHg+BjjYJbYKIhXhLx1v7pONQmckw4DisVau48A0+fkXDyV47HG5/JSALAQ01Q5vBSsfHFmYHtLGUmwxpSRxnKM9jNCoB08tzkaPX+CvgkrwwTxBE6iChPQw52SvtRMfkZ2FKmeQ6/vL1vbjo4U9J7IShSz4wB/d8MgqNOnz4kxW4bfWModysQWEr18l2tNmcZhb+wkrHWdl4ZV5WVCPO1CoBJbk0SztW3tjVzH8OTn1nn02OXgOdJn274OIcPdYtm4BLF1RhsULkMmfnX1vDj9vZI8+8fejKGmy5fWVAuFisaNQq6DVDe1JbnKNHhVy6So42QcRGTpyl46yyStnKpaTQKAnfrjiE9rGOwAVN9lysoigrxPGOCfvqgmwezAhEtwidSiYqhPbUslx+rF4wNh8A8MRHx9OxWQRBxAEJ7WEIc7THFGRh+VR/KaXL40NTD/XnhIKV4o40d4oliSa7R5s5AlPlcjzmaLMS+1iSnVmJcXs/9WlHg88n4r8Kod0RtDjGyvrT6WYHc+OKSQCAyjwD7v/KXADAqzuaAoKEGE6Pl1fXzK/OH1YVIrGwfFoJAGBaeXrShQlipJKboKMdrn2riAltiwsery8mZ5sFoTHYFBK7O7yjvXBcAQQBWDq5KGCRPl392fz5FUJbWX1z63nTIAjAf3c1Y/uJnnRsGkEQMUJCexjh9Hix92QfF9Nj8rPwzTMmYNsvV2G6LJhYiNJwoK7Til3yTMx0w3qWhpN4iYZxcuk4SzpNFkzMzQgS2scjzBoPB3MfyNGOju0NPWjp8y9KBDva/v7s4fNdXT6tFM9ctxgv3HAqzp1VjiKjDj02N/a3DGxXOdjSD7dXRKFRh6qC+J3sdHPPxbPx2W1nY+G4oStZJ4hMINEebWUQmhLmaHdbnbj9tT049d6NUQvKgY62tN9lrrsxhNC+fFE19t51Hi6ePwbFOf68jHQljjMmKIT+7Cq/0J5VmYfLF1YBAO7/38Eh3y6CIGKHhPYw4t63DmDNQ59g48F2AJKjLQgCinP0KJDn7cYTEpIKfD4Ra//6GS57fPOwKGc3D0PxEg3j5ANqc68Dbq9vkFtHDxPa07jQlj6j4/LJSCwr9qUmcrRj4d29rQAAZvR2WALft+EotAHgzKklGFdkhFolYIwsoHtCOEq7T0pl43PG5I1YNxuQStYr8kbuQgFBpIt4e7TZgm84R7vQKC3qdlld+KKuGy6vD499cCyqx2aJ48yUYCMtmSvORHwwbNGgJFfpaKe3dDxPEdpaI88bZ9xw5kQA0mjFcFMtCIIYPpDQHiaIooj1+9sCLqtS9D2yXqK+YeJoH++0oM3shNsr8r5fAHhtZxN+/+5B+IYwoVoUxRFbOl6aq4deo4LXJ/KWgUQRRZGP95peLo0yazM7IIoi9jVLDmUsI85KqUc7JpibPUWeExvsaI+ERaH8bOYsDRTae5p6AQBzFU4LQRCjh3jHe8VSOs72oxsPtqG+c/CKL1Y6ftqkIgB+R7uLC+3QfeEM5ajBcWkuHQeAR66uwV/WzsfsMYH7WbY4aHd7YXUNbO0hCGJ4QUJ7mFDfZUNznwNatYDTJxdjyYTCgPJedlLeZxseQntHQy//uVk+IHp9In7x2l488v4xbD7WNWTbYnd74fZKwn44i5dQqFQCTx4/kaQ+bavLy8eCzKw0QadRwenxYfuJHp4qPXtM9EKbzdJup1naUcEWfSaVSEI7uEd7uDraSgrlhb3eEPub3U1+R5sgiNFHjl7aP8TuaEv7wtKwjrYktI+09/MxW6IIPPL+0YjP5XB70SnvZ1mwIxPabLGwKCfyKMVAoZ1eRxsAFo4rxMXzxwy43KjXIFsug+/sp8VvghjukNAeJnx6tBMAUDO2AM99cwle/PZp0Kj9H08eO/EdYke73+HG5qOdAxzqnQqh3SKLtxNdVj5K44ND7XE/52MfHMO/t4VPPA7GbJcOwGqVELIPa7jDDuoNSejT/vRoJ3/v9RoV8rK0mC+Xnj35SR0AKQgtN4akZeZot9NBPSpYXsDkMI42F9rZw1doc0c7qFXF7vLiiFyiObcqf6g3iyCIYQBPHY9BaPt8Im8/Kg/To83E8L6TUuUVG3v90vYmzPv1e/jXloaQ92MiW6dRKfa7gaXjRWFKxxmVcgVhRZ6Bl5MPV1iZe/AiLkEQww8S2sOEzcckob1sUnHI69m8x1AOUyq59+2DuOpvX+Adue+UsbPBH1DSLAvtg63+ubsfHO6I6/nazA787n8H8cvX9sIbZfk5Lxs3aEZkzygbjdTcl5hj3Gtz4eq/fYHvP78TgN8dWDJBWuF/d5/0Gc6N0YkskB+n1z488gGGO6w0nJ3wdVicAb10I8HRDpcJsedkH7w+ESW5+rAjegiCyGxy9NKCdixCu9vmgtsrQhD8i7fBsGNWv/y4c6ry8eNVU1FuMsDrE/HWnpaQ9+uySPupYqOOT8kwOzxwuL2K0vHIQntGRS7uWDMTf7h8XtSvKV2whPQOWvwmiGEPCe1hgM8n4jO51HrZ5KKQt/H3aA+t2KnrlNwrpbC2Oj043OYX1UwgHlAkFB9tt6CpJ/ZSaLb67PL6og5+GwnCJRKsZK3bkthn2xl0f+ZKLpaFNlu3mBOjE8nmDLPKASIyZrlvkZWOuzy+gPduJOQJFBqlbWO9/oyt9d0AgFPGF4zIRS2CIBKHl447PFEHcrH+7CKjHlp16FPPYDFclZ+FH62awsVva5jF6C6rJDgLc3QwZWmg00iP39HvRLd83WCl44Ig4PrTJ2DZ5NBmx3CCnTN0kqNNEMOemIX2Rx99hAsvvBCVlZUQBAGvv/56wPWiKOKuu+5CZWUlsrKysHz5cuzbty/gNsuXL4cgCAH/1q5dm9ALGckcaDWjx+aGUafGvKCESQYTkUPtaDPhy8pFAalHU2k2t/RJjvaBlv6A+35wKHZX26wojQ8WjoPdZ6QK7aIkHTStQe4Cm3W8YGwB1Cq/KIo1xMqUJZXR9TvclHI6CMpgvpJcPUxyiaUyeXwkLAyFKx3fJgvtRTQSiyBGLax03OMT4fRENy2DJ47nha+EKQoKLKvMN8j3kf5vDZMTws4Viox6CIKgaHdycLd7sDC0kQQvHSdHmyCGPTELbavVinnz5uHhhx8Oef3999+PBx54AA8//DC2bt2K8vJynHPOOejvDxRh3/rWt9DS0sL/PfHEE/G9ggzgkFxyPbcqP+xKb35WelLHu2VH66hCaO9slNztiXJYW0tvoKN9xhRpRTguoa1IMY1WeI4EhzASbKW9M0TCcyxYXYFC+4qF1QCk8BSWXKoSgJkxJI4DfkfbJ4JSTgfB5vLylgeTQesfjabo0+6T3e3hLLRDlY77fCKfaXvKeBLaBDFaydaq+fjCaMvH+Qzt3ND92QBQYAzcJ7KEbSa0+x2eAQvKgL90nB1LudA2O3np+GA92iMJEtoEMXKIWWivXr0av/nNb3DppZcOuE4URfz5z3/GL37xC1x66aWYPXs2/vGPf8Bms+H5558PuG12djbKy8v5v7y80Ztgyw4SkXoelWFooiiiqceWcndRFEU+j/lkr50f4D4+LPWTr5lbAUAan9He7+CJ1tcuGw8A2NfcF/NzBjrao0NoszKwROeRW52SCJ5ZYcIfLp+HW86dyq9jfdqTS3NiDnrRa1TQyQtA5mEyXm64woLQtGoBBq2K99Ipg+RGQgUGO+HtUVTQHGm3wOzwIFunxoyK3HRtGkEQaUalEmDUxTbiiyWOl4UJQgMAvUaNXMXxiQWU5eg1fHZ3KFebHTvZsZRNyjjeaeXp5YP1aI8kqHScIEYOSe3RrqurQ2trK84991x+mV6vx1lnnYXNmzcH3Paf//wniouLMWvWLNx6660DHG8lTqcTZrM54F8m0cl7iMILbVbK2Wdz48lP6nD6797HS9ubUrpdZocnIJDsWIcFzb12fF4n9ZNfcUo1HzPB3OvKPAOmybObuyyumBcDmFABYigddwx/4RKJ4hz/7NBEsMmOdn62FpctrAoYoXLJ/DHI0Wvw5ZqqmB9XEARePq78fIiBKMvCBUFAqWmg8zASSseZo91j9f8Ns/7smrH5ARMRCIIYfTDhG62j3WeLzlkuVPRSs9JxwO9qt4Xo0w52rdnIzB1yBY5eo+LnKplAshztj4904NvPbqPRnQSRQpJ6ttTaKqUal5WVBVxeVlbGrwOAq6++Gi+88AI++OAD3HHHHXjllVdCOuSM++67D3l5efxfdXV1Mjc77QSXPYWCnZS7vD58dERylPeejN0xjoWeoFLmI20WvLGrGaIoBWxVFWTzFedNB6SRUjMqTPxg5/L6Yg7QUt4+Wod3JAiXSLAFFrvby8VyPLATnlCO9cxKE/b++jx8d/mkuB6bjQPrj9K9GK2w7y8rt/c72tKJjMfr45/TcP6+MqHt8YmwOD3weH18MY36swmCYH3a0R4T+iMcn5QonWd2fgEA5fLCcUsIoc2cXXYsnVgitbVtk4V2cY4+o8IbkyW0//5pPd7d14b39rclY7MIgghBSoYFBu/QRFEMuOxb3/oW/3n27NmYMmUKFi1ahB07dmDBggUDHu+2227DzTffzH83m80ZJbZ52VOEsA6jTg2NSoDHJ2J3Uy+A1PfnBAchHW7vxwcHpZPtL9eMASDNnDzabsGH8jiv6RW5MGjVMBk0MDs86LA4YpoXHOhox1g6HsNs6OGEUaeGXqOC0+NDl8WF7ML4/ixtcul4TgpmgLJQLyodjwx7f3JlER3saCszCNh7OhzJ0qlh0KrgcPuwr9mM21/dg+Od0pz3kZDKSxBEaonV0WYl5oMdn9hCvU6jCnC/WTl46NLxQLNiojzxgZ0bZFLZOOAX2p1y1WC8iwisNZAW0AkidSTV0S4vLweAAPcaANrb2we43EoWLFgArVaLI0eOhLxer9fDZDIF/MskeNlTBEdbEAQ+4oslj6e6PyfY0X57TwsOtfVDp1bhS7Ol/uxKOazE7pZE3pq5lQD8B4L2GBcDlEIu2lJq8wgIl4qEIAhJ6bliJzypKJFjjjaVjkeGvT9MRAf/HbATvxy9ZtiXXzNX+/7/HcTxTisKjTr8+qJZfFwcQRCjFyaYQ4WThYIdn3IHWWBkorgyzxAgICtY6XgooW0NNCvYaMXgx8wUEqkaVMLOt6L9DAmCiJ2knulNmDAB5eXlWL9+Pb/M5XLhww8/xNKlS8Peb9++fXC73aioqEjm5owY/KuxkcdPBAvJlDvastBmwq2xWwo7WzOvgrvUFYoeqtMnF2OGnGgdb2lTPI72SAiXGoxk9GmzsvOUONpZsZUJjlaC2xjKTdJC1PEOa8Dor5HwXWW5ELuapBaVX3xpBr6xdHwat4ggiOECO870RynSmJgb7PjExnApy8YBf4hacOm4KIoDHO1Co44bE0BmJY4D4FWDQODoyFhhEzCirUogCCJ2YhbaFosFtbW1qK2tBSAFoNXW1qKhoQGCIOCmm27Cvffei9deew179+7FunXrkJ2djauuugoAcOzYMdx9993Ytm0b6uvr8fbbb+Pyyy9HTU0Nli1bltQXNxIQRZGvxg52MGAnvoxUC21WVrRwXAG/bPYYE+65eDb/XXkwvP6MCfznEnmER8xCW7E6G20Ymj91fPiW4g4GW2Rh34V4sMil49m6VJSOy442lY5HhPdoy0K6Zmw+snVqtJod2NXUN6IS8gvl5HEWiDgjxrFwBEFkLqxHO9rU8f4ohfb4IinIbEppoCtdYQrtaJvtHnjkfZTSuWbjR4MvzxTirRpUwowNWkAniNQR8xn5tm3bsGLFCv47653+xje+gaeffho//elPYbfbceONN6KnpwdLlizBe++9h9xcaRyMTqfDxo0b8Ze//AUWiwXV1dW44IILcOedd0KtzpxUyGixubxwuKXxE5FKx4GBLpjV5YXV6Yl5XFO0sBnak0tzoFWr0GZ24Kl1pwQ83ww5YXx6eS7OmlLCL2cObbRimdEXNN4rmv6jkeQShoMtsrD3a0dDD3779kHcfsEMzK/Oj+oxrDxsJhWl4+RoR8Lu8kplfI7AvACDVo2zp5fizd0teGdvC2ZVSmMM80bAopByYU+jEjCp1Bjh1gRBjCb8PdrRLb7yHu1BSse/vGAM8rK0WDopMAuCpY63BjnabGpLrl4Dg9Z/7JtYkoMdDb0AApPMM4XiHD2OdVhjPsdiONxePvos2s+QIIjYiflsb/ny5RFHNgmCgLvuugt33XVXyOurq6vx4Ycfxvq0GQsrecrSqgd1IvNDCMlOizNlQrtHMTLjzgtnhRS9c6ry8OINp2JCiREqlf+6ZJSOOz1SQnPuICFnI328F+B3tFm5/Gs7TmJLfTee2VyP+V+dH9VjsNLxVHwfTNSjHRZRFLHmoY/RbXXxk0NldcXq2RV4c3cL/re3FVUFklszEr6rhQqhPakkB3rN6FsIJQgiNP4ebS/2nuzD5mOdMBm0+Oop1SEXxy1ROtp6jRqr5wxsI2RhaB0WJ9xeH7RyxkW4qS3KPu1MKx0HEk8eV5oaVrkajiCI5DP8bZUMxz9De/ADQaj07k6LE+OKUuM0sdTxAvkgFc5ZXjKxaMBlbKxRR4zhXsGlyV0WV0Sh7fb6YHNJB4mRmjoODOzRZiXkX9R1R/0YkcZ7JQordU4keCVTaTM7caxDSuRmn5dSSC+fVgK9RoUTXTZ8frxrwPXDlQLF/mZ6RW4at4QgiOEGc6af3lyPpzfX88urCrJx+pRAN9rrE/lxOt4MkSKjDlq1ALdXREe/k7etdQWN9mKwEV+Av+87k0hUaCvPtaLtsycIInaGd+ztKCDaIDQAyM8aKMZT2afNHO3C7NhXg+M5CPh8It/hZ8klYIMFoilXZUdC32s42EILE9isHOxkrx3NvfaoHoOdyBhTkjouj/ciR3sAh9v6+c/s+6pc9DHqNThrqtRW8d4+aSLDSBDaytJx6s8mCEJJsGBmvdVPfHRswG2tLr+QG6x0PBwqlYDS3IGBaF2KyjslkxRCOxojY6TBJr40dtviur/y3MlCx3WCSBkktNMMX42NorRJ2dc5QQ76SKXQDna0YyEeoW1xecC6EtjrG6z/iM8t1mugVsU3S3I4wMZ7cUdbscCwtT46VzuljjYvHaeV72CUQpsRvOjzJbkU0u2VvuAjQWgrA4Sml5OjTRCEnyxFP/TVS8bi2euXQCUAHx/pxL7mvoDbsv5snVqVUAsKG/Gl3OeGMyvGFhqhVUvnBCVRGBkjjanyPvlgqzmu+wcIbXK0CSJlkNBOM+FWY0OhdJgWjJWSwIfE0Y5HaMsHtm6rk6cWDwYTzTqNCmMKpNXaaB3tkexmA0CRkfVos9Jx/wLDlijLx21O5minrnS8n1LHB3CkzTLgMlOQa3P2jFJ+0geMDKGtHI9DjjZBEErGK1K9b//SDFQXZuOCuZUAgL99XBdwW96fHaebzVgxvRQA8Mj7R+H0eNHe78DxTmn/G3wOpdOo8OuLZuOHZ09GdWF2Qs87HJlWJgnt+i4bHO7Ye6yV1WnUo00QqYN6tNNMLKXjrEe7zKTHWPnA0ZHA3OVIeH0iemVRVRBH6XihUQdBAHyiNI+bOdyR4KORDNqo50pnitBmr7fb6oTT40WvzX8QjFZoD0XqODnaAzncPtDRDhbSJoMWp08uxvuHOqTfR8D3lYUPFefoUBrF3y9BEKOHBWPz8cx1izGr0sSrqK5aPBb/3dU84JjFplUkemy6dtl4/GNzPZp67Lj00c3Y1+x3c0OVh1+1ZGxCzzecKTPpkZelRZ/djaPtFswekxfT/ftsgY62zycGBNoSBJEcyNFOM6wntziKHqIFYwsws8KEqxaPSzgIYzB6bS5exp0fIoRtMDRqFV9hjnYb/enhGl5KHa2jPRLGJUWClef7RKCuUwrWYtlzR9ot6LZGXnAQRZH3waU0DI16uQIQRRFHQznaIYT06tn+JN2R4GhPL8/F7V+ajj9eMX/QEXsEQYwuBEHAmVNLAkwCFkDW0meH2+vjl1t54nhi+71snQa3nDsVALjILsnVY25VHlbNKEvosUcagiBgmlw+fqh14GKvzyfitlf34PfvHgx5/+BF87ouK770l4/x3Ocnkr+xBDGKGdnqJAMIN5oiFHlZWrz9ozMAAOv3twGIPdU7Wnrk/myTQcPHaMRKcY4enRZX1NtoVrjTTGgPJtLbzFIoCnPfRipatQoF2Vr02Nw40CKdQBQZdTDqNTjRZcOh1n6cNmlgujvD4faBVeinQmgzR9vl8cHh9gbMKx3NtPQ50O/0QKMSkK1T85OXUAn458wsg/o1AV6fGNAGMlwRBAE3nDkp3ZtBEMQIoSRHD51aBZfXh9Y+By/ZZqXjuUk4Nl22sBqfHeuC2eHBj1dNxZyq2JzcTGJ6eS621HXjUIickD0n+/DClgYAwI3LJw84L+gLagP7395W7G8x4+XtTbjm1HGp22iCGGWQo51mOnkYWmylmcwB70yRo91tlXbC8fRnM2J13ZUipcwk3be93xHpLmgzS4890oU2AN6XXtvQC0D6TrBk0VZz5ORxZaprdgpEcI5Owx32fiof57BQnvHFRu4uZGnV0GkG7loLjDrccu5UrJlbgdmV1PNMEERmoVIJ/DjW1OM/ZrEwtER7tAFArRLw57U1eGrdKaNaZAPgx5yDIRztz+RRkkDgZ8EIFtr1ciVdP1WtEURSIaGdZrriDBxTilhRjC5sLBZYqXI8ieOMkihdaYbS0S6VhTMT0kq6LE68sasZPp+YMY42AIwrlMrudjChnaPjKautfZHfQ1aal61Tp6TPSqUSuBtB5eN+jrZLZeNTy3IwuVQ66TFFaGO4cflkPHzVAmjirBIhCIIYzlRxoe0fO9XPS8epiDKZTOel4wOTxz875hfaDSFGgJmDhHYdF9q0kE4QyYT2emnE4fZyQVsc4/gJdnuX1wezw5P0nk/WOx7PDG3GuCJJOL65uxk3nDlx0PFbTMCZDBounNv7HQEhHaIo4pvPbMPOhl6oBGXp+MgPaxorzyHlpeM5epRzoT2Io80Sx1N4IpNr0MLs8Aw4QI9mmKM9pTSX92WHKhsnCIIYDVRFcLRTeXwajUyRk8fbzE702ly8Jcnt9QWMBQ01a3uAo90lCW1aSCeI5EK2Shp5/osGeH0ixuRnxZzqa9Cq+QihVASidfZLCwClCQjYa04di1y9BvuazXhlR9Ogt+ep41la7oa7vSLvFweADw93YKfs+B5oMWdU6fh4WWh75GbrIqPf0W7pi1xCz4PQdKnrneYjvkbwiveHhzvw+3cPwqMI6kmEPSelRZEZFSYsGieN3GOBQARBEKONMfmS0D7Z6xfa7PiUm4TSccKPyaDl7/dhRSjn7qY+2Fz+kV0hHe2g4zgbLepw++DyJOf4SBAECe204XB78diHxwAA31sxOa5y31Qmj3dYJGEXq9OupChHjx+unAIA+P27h2BzRRZofkdbC51GxfvQmZgWRRF/3nCE376+y8Yd7fIMENpjCwMFWpFRh3Leox1ZaFucqXcM2MLOzf/ehYse/gR//egYem2pGS+XCkRRxE9e2oVH3j+G7Sd6En48h9vLHe151XmYV52Pd350Bh64Yn7Cj00QBDESqSqQFowDSscdVDqeKpjQVp4jfC73Z7PTSuVnwTDz8a0DK7CoT5sgkgcJ7TTx/BcN6Oh3Ykx+Fi5bWBXXY/Bk7hQkjzNHO5r515H4xtLxKDcZ0NHvxLb60OJGFEUcbDWjVXZtWY9raa7cpy0Hom080I7axl5+vz1NfXDKK6+JbudwYJzsaDOKcvRRO9o2VjquS23pOCAF+O1u6sO9bx/Eur9vTdnzJZtDbf1olxelugYZlxYN+5rN8PpEFOfo+ULPjAoTlUcSBDFqCVk6Tj3aKYOd+yiDcZnQXjGtFEBoR5uVjlfKQl3JSK5aI4jhBgntNLHpYDsA4JtnTAiZUBwNoXawyYKJ95IEHG0A0GlUqBmbD8DfzxrMaztP4vw/f4xPjnYC8Pe4sr7rtj4H7C4v7vrvPgDA2dMDDx4F2dqMGDdVbjIEfBeKcnS8R7vT4oxYzmXljnbq3ge723/wZYtDu5p6R8zq90eHO/jPwf1p8bCnqRcAMK8qj+ZMEwRBwO9ot/Q5eIuORT5GJCN1nAiET6BRGC7H5JDO1XMqAACN3faA0FyP18cXP8aQ0CaIlEJCO000y+FWbDxDPPDS8RQ42qwcvTgJTvHUMpaMGVpov72nhf+sUQmYM0Ya2VGmSB7/y8YjaOqxozLPgN9fNjfg/pnQnw1Iyd7VBf6DXnGODoXZOujUKohi5FFnrAcuO4WOweLx0hzvheMK8PvL5mJMfhZEUaosGAl8fKST/5wMob1bft2jfcQMQRAEozRXD61agNcnoqXPAbfXx8M6ydFOPqyykQlth9uLZrkCbtnkIggCYHd7A6q4lEI6lKNNgWgEkTxor5cGRFFES6+0I6zIG7iTi5ZU9mh3JsnRBvyLCaEcbbfXh8+PS+mYL95wKmZWmniJMhvxdaS9H+/uawUA/Pri2SjK0aM0V8/LgDNFaANSUvuxDin9s8ioh0oloCxPj8ZuO1r7HNwtUCKdyMileSksHf/WmRMwtyoPyyYXQxAEzB+bj5O9dtQ29WLp5OKUPW8ysLu8+KLOn8KaFKF9UhLac0loEwRBAJBnaednob7Lhssf/wwenw9aeZwhCe3kw8wQFmbGEsZz9RqUmwwoNxnQ0ufAG7XNaO934qZVU/jxL1unRj71aBNESqG9Xhow2z2wu6UVXtaDGw/FMc6pjhar08MTK5PR++wX2paAUV0AsLupFxanB/nZWpwyvjDgOtb3uulgO9xeEeOLsnHOzDIAwPgio0Joj/z+bMbYQr+QLpJLwipMWWjstofs0/7kSCeuefILZMtp49kpLB3P1mmwQi7bB4D5Vfl4a3cLauUU+OHMlvrugNL7RIW2xenBsQ6pPG/OmPyEHosgCCKTGFMgCe3gEE8qHU8+wY52fZcktMcVZ0MQBFQXZqOlz4G739wv316HxRMKAQB5WdqQix9sAgxBDCWiKGZkGx6VjqcBVjaeaG8x79FOcuk4e7wsrTopwU7jCrOh06hgd3sDAlIA4JMjUmjHsknFA5LXmYBmov+U8YX8urGK4LDMcrSl16XTqPgB0D9Le6DQ3nCgDYD/PRpKx2C+3Hu/S+5VHs5sld1sNss9UaG992QfRBGozDNkRBAfQRBEslAuGCvJJUc76fAebdl4OCHPwx5XJE0xqQ6qgvvv7hZ+/DMZtCFHrlHpODHU/HtrIxb9ZgN2KQKPMwUS2mmACaZEysYBf1l3sh1t9njJEhAatQqTS3IASMnPSj45KgVULQtRehwsoJVCe1xhZgvtIqOOr+xFSh4/2m4J+D07haXjwcyqNEGtEtBmdoZcBBhOsPEm7HtoTlBoszDDhYrvJEEQBAFcf/oErD2lGjefMzXgcnK0k4/f0XZBFEXUy0J7vHwuwRY9BEEa97WrsZeLGcnRDlU6To42MbS8f6gdXVYXPj7SMfiNRxgktNMAc7QTKRsHpNARQBpV5PWJg9w6epIttIHQfdpWpwc75bLjM6YMFNqlQSXhi8YX8J/HFftnTmeS0F4yoQiLJxTia6eN45dxR9tsH3B7Vr7MyElh6Xgw2ToND7qrbUx8LnUqaZYzEWZUSNsbj6Pd2ufAf2pPwu314a3dUoDfBXPKk7eRBEEQGcDk0lz89itzsXZxdcDl1KOdfNh5msvrg9nhwQlWOi472mdNK4FOo8L3V0zGaZOkQNMH1h8GAEwpywk5qYQcbWKoccjttMkYvTrcIKGdBrijnZ+YQCw06iAIgNcnoseWvC8nKx1nJUnJgAkypdDe12yGxyeiIs+A6hClZsVGPS/1LTLqMEEhrpWOdnkGCW2jXoN/f/s03Lh8Mr+sIkzpuMXpGeByZw2how0A86ulILA9J4d38vjJXmmRYkaFCUB8jvZv3tqPH/2rFhc+9AlO9tph1KmxfFrp4HckCIIYhZTmGgJKk41DfHwaDRi0ar6A0WlxKhxt6XxpfnU+9v/6PNxy7jRcOLcSAOATpbFet547LeDzKTJK53zkaBNDjcMtZeh0WUhoEzFwrMOCf35xImB+L+B31xItHdeoVSjMlnaM8ZSPe7w+fOuZbfjRv3YGzFhMjaMtlezuOdnHn+tQqxmAX/wEo1IJ3LVfNL4gICSBHUSAzApDC0W5/D0JFtXHZTe7QJEaGmnWdipg3+HuYbwK6fWJPJSHfdficbTflF3sg/KYulUzyzJifjtBEESqUB7fg3NYiOTATJGWXgdOyjk44xU5Nho59f382eXI1qmhU6vw2DULUGDUBZSOTyyRzqsSba0iiFhxeCRHezifS8YLCe0U8t6+Nvzitb14aXtTwOWsBDjR0nFgYCDa+4fa8cD6w/BFUUq+q6kX6/e34T+1zdjR4C/97eCjvZLnFM+vLoBBq8LxDisf1cUES6RZ4mzE1ylBvbB52Vp8+6yJWLd0PL9NplKZz+aJSzNJGaxsfGpZLu65eBaWTCjEhfMqhnTb2Gq4eRivgLf3O+D1idCoBEwpk3u0HZ6AxaVoyMsK7GW7YM7QvtcEQRAjjZlhFtKJ5MH6tGsbe+ATpSDbUEZJfrYO//neMrz9o9MxtyofQGDf/MRi6fhIjjYx1DBHO9nhzsMBEtophLm4h1sDA8DYDO3yJApt5kL/8rW9eHDjEXx8tHPQ+356tIv//O+t/sWAjn5pRak4N3ml44VGHW44YyIA4N63D8Lp8XKhPT2C0P7GaeOwaFwBLppXOeC621bPwF0XzUraNg5Xio166DQq+MTA8vFj7VKJ2KTSHHzttPF48dun8RnkQwV7vuF8YG6Wy8bL8wwokCtAvD4RFmf022xzebgLXpqrx/iibJw5tST5G0sQBJFB3LhiEvKztbgwxDGcSA5MaG87IRkm44qyw45JmlKWi8ml/nOuHEU5P3O0+53kaBNDi9NNjjYRB9PKpZXcYx0WXtIriiIvAa5MsHQcCEwe77O7eS/qvubBe2Y/UYjxN3c3wyoLD7+jndyS7G+fNQmluXo0dNvwz88b+AJEJEf70gVVePm7SzPetY6ESiVgTL70XVGOR2OO9iQ5STsdmOTV8P5hHJ5yUl7YqszPgkGrhk4j7fZiKR9nf7M5eg0++dnZ2HjLciobJwiCGITSXAO23L4KD66dn+5NyViYKbJdIbSjxahXQ69RQSXAX/FFc7SJIcauENqxVhsOd0hop5DKPCkIxOMTcbxTEkV9djf/QiXD0S5WONpH2wODxsLh84ly4re0Uy4y6mB1efHWHqkHlc1jLE7yfGCjXoMfrJwCAHjsw2Pod3qgUQm8XIkIDxPabCEF8I/2mlRiDHmfoYA52sO5p4s52uw9ZCXgMQltnqtggE6j4iF9BEEQRGR0GlVYh5VIHOZos8qyJROKor6vRq3CQ1fW4E9fnY8qeeb2cF44JzITljru8YkZt9BDQjuFCIKAaXLa9iHZvWVBaIVGXVIcsZIcf4/24Tb/qKcDzWZ0Wpy45839uO3V3Xhw4xF4fSK+ON6FOXe9i2uf3gq3V0R1YRauO30CAODJj+vg9Ykpc7QB4KJ5ldBpVLzUfVJJDncYifBUFTBHWxrd4fH6eLro5NL0LVTkckd7eOwYuyzOAYFwTGizXvd4hDYbyZeMxTGCIAiCSBbKfmy1SsBF82Mr0z93Vjkunj8GJrZwHkeGCUEkAuvRBoAua2b1aZPCSTFTywOFNgtCS9ZIKt6jbXEGjM6q67Lid+8cxJOf1OGFLY14YP1hbDrYjrf3tMDq8mJLXTcA4PTJxbh6yViYDBocauvHdU9vhcvjg0GrSmrqOCMvS4tVM/wjkSKVjRN+uKMtl47vPtkHt1dElladlBaEeDENkx5th9uL375zEKf83wbc8Oy2gOvYe1YZ5GjH4sIzRzud7zVBEARBBFOsMEXOnFIc8HsssIVzr0/klZcEkWpEUeSp40DmzdImoZ1ipgcJ7QMt0v/Vhck5YWdiuLXPgSMKR1sUgVd2SAFnzA3ddqIbu5oCe7fPmlqC/GwdblwhzW3+UB5Fduu501LWg/rlmir+Mwnt6BhTEFg6/sSHxwAAq2eXp3VkCjsw293egET0WPB4fWjpsw9+wzB4fSK+9uQXePzDY/CJwBfHu/lqvNcn8vcsWGjH4mjzSQH55GgTBEEQwwelsL6kZkzcj5OtU/O2qHQvnhOjB5fXB2UBRabN0iahnWJY6ThL2N50sB0AcPqU5CQWTynNgUoAjnVY+YguNlPRJ0ozlm9cLonoLXXd2C/3bj+1bhF+f9lcnDuzHACwbul4Pm5s1YwyXC+Xk6eCs6aW8NnPMytp9Ec0sN6pk712HGnrx7v72gAA310+KZ2bFTAaxBLngflXb+zDafdtwrb67rju//yWBmyt70GuXgO1SoDd7UWr2YEfv1iLJfdu5H97ifRoN5OjTRAEQQxDqguzoFEJMBk0/JwuHgRB8I/sHMa5K0RmoSwbB6h0HB999BEuvPBCVFZWQhAEvP766wHXi6KIu+66C5WVlcjKysLy5cuxb9++gNs4nU784Ac/QHFxMYxGIy666CI0NQXOms4UmGN7steOhi4bF8Mrp5dGulvUlJoMfMyQzSWVXqyZ6+/P+dKcCiyeUAAA2NnQC5fXh7wsLVZMK8Xli6q5G2rQqvHI1Qvw7TMn4o9XzEtpcIlOo8JDVy7ATaum4KwkLThkOszRbu6147EPJDf7vFllmFKW3ooArVqFbJ1U+WCOM0Dl8+PSmLnaxt6Y79tpceL3/zsIAPjJ+dMwtlBakDjcZsFbu1sCZjKyhaS4wtCoR5sgCIIYhpTmGvDs9Uvw4rdPQ5YusUpEZZ82QQwFjqA2he7R7mhbrVbMmzcPDz/8cMjr77//fjzwwAN4+OGHsXXrVpSXl+Occ85Bf7+/f/imm27Ca6+9hn/961/45JNPYLFYsGbNGni9mdcTkp+tQ5lJKut55P2jEEVgZoWJl7Emg7WnVPOfx+RnYfGEQv77RfMqMbE4h49hAoC5VXkhhfSCsQW47UszuBBJJadPKcZNq6amtex5JFGWq4daJcDtFfF67UkAwHfOSq+bzUgkEM3l8eFElxTwxlzjWPh/Hx+H2eHBrEoTrl4yDhOKpQT2jQfa4AoqZWcJ6aYEUscrqXScIAiCGGacNqkIMyoSrxDkjjYljxNDRLDQzrQebc3gNwlk9erVWL16dcjrRFHEn//8Z/ziF7/ApZdeCgD4xz/+gbKyMjz//PP49re/jb6+Pjz55JN49tlnsWrVKgDAc889h+rqamzYsAHnnXdeAi9neLJoXCHe2tOCF7c1AgBWzkiOm804e3oZiow6dFldmFKWg4XjCmDQqlBVkI1TxhdCpRIwf2wBPpL7r+dV5Sf1+YnUo1GrUJFnQFOPHT4RmD3GhJqxBeneLACSgG0zO+M6MDd0W+H1Sc05rA86Fj4/LpWbf+uMiVCrBC6039nbCkDKSJhUIv1NMPyOdnQLA/0ON/rlGfMVVDpOEARBZCjDJeCUGD0MLB3PLKGd1B7turo6tLa24txzz+WX6fV6nHXWWdi8eTMAYPv27XC73QG3qaysxOzZs/ltgnE6nTCbzQH/RhJ3XjgTE4v9s45XzihL6uPrNCqsXSy52ovGFaDMZMB7N52FF284lTvGNdX5/PZzq/KS+vzE0DBGUQWx9pSxadySQBJxtNkscCB2R9vh9mJ/sxTux4Q0E9psfNziCYV45OoFfIQdEHvpeGuftF0mgwZGfcxrkwRBEAQxIqAebWKoGeBoW0Z5j3YkWlslF6msLFBIlpWV8etaW1uh0+lQUFAQ9jbB3HfffcjLy+P/qqurQ95uuFJqMuD5b52KmRUmLJlQiLljki90f7xqKp65bjG+ecZEAMDYomwUKZIoa8bm85/nKUQ3MXJgfdpZWjUujnFOZirJDbMC3mdz42Br5EWxYx1W/nOsyeP7W8xwe0UU5+h4sv7EEmPAbUKV0sUqtJtloU1uNkEQBJHJFBqlMN3uDHMVieHLgB7tDPvupSR1PLj/VxTFQcO1It3mtttuQ19fH//X2NiYtG0dKsrzDHjrh6fjxW+flpK+ZI1ahTOnloQdybVofCHG5GdhyYRClCVphjcxtMwol0TjJTVjuLgdDpi4ox0oXL/1zDac/+eP8fdP68Le95jC0W7vd8Y0ImxnQy8AYH51Ad93TCzOCbhNJKEd7Yp9fae0GED92QRBEEQmwwI/W/piz0whiHhweKTzPjZarjPDwtCSWgdZXi6NFWhtbUVFRQW/vL29nbvc5eXlcLlc6OnpCXC129vbsXTp0pCPq9frodfrQ143kkhlkvdg5Og1+PinK5DGTSAS5GunjcOYgiycnaTE+mTBRL9Z0fN8tN2CLfK4rl//dz8KjTpcPH/gfM+jHYGz39vMDj7KbDB2ygn+ymqNMpMeWVo17G4vVIJ/vJ6SWB3tL+qkVPQFw6QnniAIgiBSQQUX2rFnphBEPNjliUnlJgNO9trRY3PB5xMzJiw5qY72hAkTUF5ejvXr1/PLXC4XPvzwQy6iFy5cCK1WG3CblpYW7N27N6zQJpKDSiWkVewTiWHQqvGlORVhqxbSRShH+7Wd0ri+HLmn+c439kEUxYD7iaLIHW2NvEONZRWdOdrK/AFB8AeiTSg2hhx1wkrjemwueAZx0H0+kQeuLZ1cFPW2EQRBEMRIg7VItZKjTQwRTo8ktFkOkdcnZlTqfcxC22KxoLa2FrW1tQCkALTa2lo0NDRAEATcdNNNuPfee/Haa69h7969WLduHbKzs3HVVVcBAPLy8nD99dfjlltuwcaNG7Fz505cc801mDNnDk8hJwhi5BAchubziXh9ZzMA4J5LZgEAem3uAUmSrWYHrC4v1CqBB/Q190a3it5uduBkrx2CAMwNyhxgfdrhRp0UGnVQCZKD3m2LXKJ0qK0f3VYXsnVqzKW0foIgCCKDqaDScWKIYT3aOQYNN24yqXw85tLxbdu2YcWKFfz3m2++GQDwjW98A08//TR++tOfwm6348Ybb0RPTw+WLFmC9957D7m5/hLOP/3pT9BoNLjiiitgt9uxcuVKPP3001Crh5dTRxDE4PAwNKe0AvlFXTdO9tqRa9Bg9ewK/Padg2gzO9HUY0exIqBvT5OUGD6uMBtjC7Oxo6E36oP7vhYpZG1ySQ53zRlnTinBm7tbwo7RU6sEFOXo0dHvREe/E6W54XuvPzsmlY0vGl8IrTolkRYEQRAEMSxgPdp9djdsLg+ydTRpg0gtbLyXQavCWz88A6YsLRfcmUDMr2T58uUDSkCVCIKAu+66C3fddVfY2xgMBjz00EN46KGHYn16giCGGcGO9sdHpHnt580qh0GrRnVBNtrMTjR22zC/Oh+iKOLetw/gqU/rAQBTy3JRkR9buVqHWRr/UJk/MAn8ilOqsXpOecTAuBKF0I7EZ8cloX3aRCobJwiCIDKbXIMWOXoNLE4PWvocmFSSM/idCCIBmKNt0KhRXRhdRs9IgiwagiASwmQITPE+Lo/smlUplW6zHWdjjw0AsKOhB//v4zp4fSLOmlqCn62ejkp5FT3a0vEOec5iSW7okMTBUtnZ/SIJba9PxBey0F46iYQ2QRAEkfmw8nHq0yaGAuZo64dZ/lCyIKFNEERCBDvaxzulgDMWSsZmXDd2SyL6pW1SUNqlC8bgH9ctxoRiIw9gibZ0nAnkcEJ7MFgJOxPsoaht7IHZ4YHJoOGLBgRBEASRydCIL2IosTNHW5uZkjQzXxVBEEMGH+/l8MDrE1HfJTnXrOSsWh7X1dRjg83lwZu7WwAAVyyq5o9RkR/bSBHuaOfEJ7SjcbQ3HGgHACyfVgoN9WcTBEEQowC/o00jvojUw0rHs8jRJgiCGEiuYrxXc68dLo8POrWK909XFUr/N/XY8e6+VlicHlQXZmHx+EL+GGysQ6fFhfv/dxAuT+SxW4k62ux+kZItN8lCO1yoGkEQBEFkGuVyhVkzOdrEEMDGew230bXJgoQ2QRAJwXq0nR4fDrX2AwDGFWVDLc/GZo72yR47Lxu/bEE1VCr/TPf8bB2uP30CAODRD47hmr99gT57+DmKnbLQLk7Y0Q59ItHYbcOhtn6oVQKWTyWhTRAEQYwOKqlHmxhClKnjmUhmviqCIIaMHMUYhl1NvQD8s6wBqQxNrRLg8vqwWR6X9eWaMQMe5441M/HY1QuQa9BgS303vvrEZ2HF9mBhaIPBSs7DlY5vOii52YvGFSAvO3KwGkEQBEFkCtSjTQwlPHWcHG2CIIiBqFUCn2Vd29gLAJhQ7B8JolGreM8XAMyrysPYotAjHFbPqcC/v30aSnL1ONjaj//uah5wG4fby4PX4i8d1wEILbS7LE48vbkeAJWNEwRBEKMLfzgp9WgTqUc53isTIaFNEETCsD7t3U19AAIdbcBfPg4Aa+ZWRnysGRUmXDCnAgBwMsS4LyaOdRoVTAo3PRZKciThb3Z4+E4ekPrMv/H3LajrtKIyz4BLF1TF9fgEQRAEMRJhjnavzQ27yzvIrQkiMfzjvTJTkmbmqyIIYkhh469YqffE4iChLQeiAcAFcysGfbwyU/geMWXiuCAIA66PBlOWBjo5SbxTfjxRFHHLv3dh70kziow6PPvNJXH3gBMEQRDESMRk0PB+2UiTOQgiGdgpdZwgCCIyd6yZGbCTnBAktMcWSo72wnEFPI08EhURwljYgb84zrJxABAEYUDy+BMfHcd7+9ugU6vw5LpT+HgygiAIghgtCIKAvCw2tjN8KClBJAPq0SYIghiEcUVG3P6l6QCA4hwdCo26gOuvOKUaa+ZW4FdrZkb1eKx0rdU8UGh3JjhDm1GsmKW96WAb7v/fQQDAnRfNxPzq/IQemyAIgiBGKmyayFALbVEU0U/iflTh9LDU8cwU2vE1OBIEQQRx9ZJxUKkETCgyDijpLs014OGrFkT9WOUmlnpqhyiKAY+X6AxtRkmOtBiw6WA7/lN7Ej4RuGJRFa5aPDahxyUIgiCIkQzLXWHBo0PF7/53CP/v4+N45btLacF7lOB3tDPT+yWhTRBEUlCpBFy9ZFxSHos52g63D2a7J2DEVrKENuu/fmFLAwDg9MnF+L8vz4m775sgCIIgMgETKx0PM2IzVXx+vAten4jtJ3pIaI8SqHScIAhiiDFo1SiQxXWLOTB5PFlCu1Rx/2WTi/DoNQugVdMukSAIghjd+EvHh9bRbpfbxdpDtI0RmQlLHc/U8V7kaBMEMSwpMxnQY3Ojtc+B6eUmfrk/dVwX7q5RsXpOBT483IEL5lbgm6dPhEpFTjZBEARBsNLxoXS0fT4R7fJCehsJ7VGBKIo8dZxKxwmCIIaQijwDDrb2D0ge52FoCTraMypM+M/3T0/oMQiCIAgi02Cl40PZo91pdcLjEwEAbWYaKzYaYEFoAGDQZaajnZnLBwRBjHhYn3ZLsNDul8Zx0YxrgiAIgkg+6Ugdb+vzi2tytEcHTrdCaGdo6TgJbYIghiXlJmnetvKA6/R4eZlRflZipeMEQRAEQQwkHaXjymM9Ce3RgcMjnc+pBECrzsz2PRLaBEEMSypCONrKMrYcA3W+EARBEESySUfpeKtCXFtdXlicQxvEpuRAixnHOyxpe/7RgjJxPFMnvpDQJghiWFImC23lyjZbXc81aKCm8DKCIAiCSDom5mgPZel4kIudLle72+rCpY9uxhVPfA6P1zf4HYi44YnjGTraCyChTRDEMCWUo90nC23WP0YQBEEQRHLJTUeP9jAR2rWNPbC7vei0OFHXaU3LNowWeOK4JnPlaOa+MoIgRjRlJklo99ndsLmkEjI205OVtREEQRAEkVzysiRHe2hLxwOTxtvTlDxe29jHf97fYk7LNowWeOl4hiaOAyS0CYIYppgMGl6+dqLLBsBfOm6i/myCIAiCSAk8ddzuhiiKQ/KcbXL1WnGOFHTamiZHe3dTL/95fzMJ7VTChXaGJo4DJLQJghimCIKAyaU5AICj7VIoCStjI0ebIAiCIFIDKx33iVIw2VDAhPW8qnwA6SkdF0URu5sCHe2WPjte29kEn29oFhxGE/4e7cyVo5n7ygiCGPEEC23Wo51HQpsgCIIgUoJBq+LjloZixJfD7eXH97my0E5H6XhTjx3dVhf/fX+zGd95bgd+/OIurD/QNuTbk+l0WaXPOD87c8e1ktAmCGLYwoW2PGbDbJd7tCkMjSAIgiBSgiAI/Dg7FH3azL02aFX8uJ8OR3uXXDY+pTQHKgHosrqwq1G6bJ9cRl7XaeUlz0RinOyxAwCqCrLSvCWpg4Q2QRDDFnbAPTagdJx6tAmCIAgiVbAWraFIHm+V+7PLTQaU5+kBAG39Qy+0Wdn4komFmFBsDLiurtOKT450YsUfPsCZ9///9u48uunzzBf4V7tlWZb33RhjMAQMZgsBmkJCCAmThTTJkITOhLTT9qYNueW0PWlpZm58m7TkcqeZJk1L905C0pKeJqTNbQO4TXCgbAZMMASCwQYb4w2vkhfZkt77h36/nyRbXpAlS1jfzzk6B0s/Sa/Ie4gfPc/7PB/iD+V1E76+yaa+wx1oZycw0CYimnDTU80AgOpr3XC6hFczNGa0iYiIQsUsz9KegNJx+Xx2enwM0szuiSNNXXb0TtD5cFmlFGjPy0nA7CyLz2M112w4VH0NANBsteOZt0/hg3MsJx+PK1JGO5sZbSKiiZedaIReq0a/w4W6th6e0SYiIpoAE1k6/uG5ZgDArAwz0uNjYDHq0O9w4Z4f70dVkzVk7zvgdGHjb47if793BoAnw5qfYsKcrHgAQGKs+++hpqVb6UIeK42jOlLTFrK1RQO5dJwZbSKiMNCoVZgmlW9daLZxjjYREdEEkI9ohbp03GZ3YPeZRgDAAwuyodeqsf3zC5FmNqC6pRslUhDs7e9nm3Dvj/fjXOP4xm+dbehC2fkWvH7oMhxOl3IuPCM+Bo/dPAXrF+fgF48vhlrl7r4uB9ZrZqcDAC402cb1/tGs3+FSjgcwo32drFYrNm/ejLy8PBiNRixfvhzl5eXK40888QRUKpXPbenSpaFYChHd4Lwbolk5R5uIiCjkzAbPLO1Qer+yAX0DLkxLMWF+bgIAYPn0FLz+b0sAACcud8DhdPk85/dHa3G6vgt/OdUwrveuudYNAHC6BC602GB3uN8n1WyAJVaHbQ8X4+apSchNigUA9Eil7PcVZwEAqpoZaAeqsbMPQgB6rRopJkO4lxMyIQm0v/SlL6G0tBQ7duxAZWUl1qxZg9WrV6O+vl655u6770ZDQ4Ny++tf/xqKpRDRDc67IRrnaBMREYWenNEOden4OyfcscGDC7OhUqmU+wvTzDAbtOgdcOL8oMxxtRQgX+0YX8O06pZu5c8VtR0A3KXiMTqNz3XejdGmJscqXwjUtfdM+DnyyeJKRw8AICfBCLVaNcrVN66gB9q9vb14++23sW3bNqxYsQLTp09HSUkJ8vPzsX37duU6g8GAjIwM5ZaUlBTspRDRJOCd0eYZbSIiotCTz2iHsnS8s3cAh6pbAbjLxr2p1SoUSwFtRV27cv+A04XaVneQdlU6Ux0oOaMNABW17vdIj48Zcp13oH1TZjyS4wxIMukhBHCxhVntQNRHQSM0IASBtsPhgNPpREyM70Y1Go04cOCA8vO+ffuQlpaGwsJCfPnLX0Zzc/Owr2m329HV1eVzI6LoIAfaZxu6MOAUAJjRJiIiCiVP1/HQZbSvtLsD5pQ4PXISY4c8LmeOT0rZZgCoa+uBw+X+XaA+iIH2SWletr9Ae5pXoD07090kTf7d5Pjldnz7j6ew79Ph4xga6koUNEIDQhBom81mLFu2DM8//zyuXr0Kp9OJN954A0eOHEFDg/ssxdq1a/Hmm2/igw8+wA9/+EOUl5dj1apVsNvtfl9z69atsFgsyi03NzfYyyaiCJWfYoJaBfQNuM9OqVWASa8Z5VlEREQUqImYoy2Xfmda/AdbC6YkAAAqpCAY8C33bujshUsKuq+XEAKXvAJt+bx1ht+Mdpzy55ukQHuGFGhv230Obx2rwwt/ORvQOgJR1WTFf/+jBs4AP3skiIYZ2kCIzmjv2LEDQghkZ2fDYDDglVdewYYNG6DRuH85fuSRR3DPPfegqKgI9913H95//32cP38ef/nLX/y+3pYtW9DZ2anc6uo4JJ4oWhi0GkxJ8nzTHW/U+ZzjIiIiouBSSsdD2AxNLv3OShga3AKejPaFZs/RMe8s9IBT4JrNf5JuNNds/bDaPdl6IcWs6fFDG3Plp3pltLN8A+1u6Yz2hWZbwGu5Xo/84jBK3vsEPyu7OCHvFwosHR+HgoIClJWVwWazoa6uDkePHsXAwADy8/P9Xp+ZmYm8vDxUVVX5fdxgMCA+Pt7nRkTRQy7RAng+m4iIKNQs0vzojlAG2p1yoO0/2EqOMyhftJ+60gEAqL7meyY60PJx74DdW7plaNCfZYnBuvlZeGhhDjKlx2ekm4dcd3SC5mq3dfcDAH53pHZC3i8UmNEOApPJhMzMTLS3t2PPnj1Yt26d3+taW1tRV1eHzMzMUC6HiG5QBV6BtvwtOxEREYVGohxo94S+dHykYGtRXiIA4OBFd9O0iy2+AXKgncdrpIA9JU7vc3+6eWigrVKp8PKjC/DD9cVKRd2MdM/vJVlS8H1Eauw2UcZ7Rj1c2rr70dDJjHbA9uzZg927d6OmpgalpaW4/fbbMXPmTHzhC1+AzWbDt771LRw6dAiXLl3Cvn37cN999yElJQWf+9znQrEcIrrBFaR6BdpGztAmIiIKpYRYdwDa1TcQsrPAntLx4YOt22amAgD+frYJgCcTLTcoq5fGRF0veUTYsoIUn/sz/GS0/UmNM+C+4iysKEzFt9fOAgAcGUNGu7rFhs07K1DXFti6AcCg9YRvoTxDHyrbdp/DgFPgpsx4ZrQD0dnZiaeeegqzZs3C448/jltvvRV79+6FTqeDRqNBZWUl1q1bh8LCQmzcuBGFhYU4dOgQzOahZRhERNOZ0SYiIpow8jEtIUJ3TntMgXZhGrRqFc432XC6vhMtVvc56M9MT5FeI8CMtpQZXzQlwSdw9dd13B+VSoUfP7YAr39xibKWc41WtEtl3cP5v3s+xbsnr+KNI5cDWjfg6QgPeOZ/3ygqatvx1jF3r63vrZsz6XvuhCQ1tH79eqxfv97vY0ajEXv27AnF2xLRJMVAm4iIaOLoNGqYDVpY7Q609/TD4RKw9g1gmleF2XgMOF1o6nIHycM1QwPcZ8VvnpqEQ9Wt+MmHFwAAqWYDCjPcybnxntHOT41DpiUGl1p7oFWrkGzSj/LMoVLiDJieFocLzTYcvdSGu+Zk+L3O7nDio/MtAIDmrsAbp/VKDdgA4NilNqwsTA34tSbab/9xCUIADy7Mxs1Tk8K9nJAL6RltIqJgiI/RIc3s7gQqN2ghIiKi0JH/f9veM4DHf3MUa1/ej+oW2yjPGpumrj64BKDXqJFiGtrp29vq2ekAgPdPNwIAFuQmIFsKzq9eR6B9ur4TDZ29cLoELkul29NSTMp4sTSzAWp1YBnW4pwEAO7RW8M5XN2mdCmXM/PXSwiB3gHvQLs9oNcJF/lz3z4zLcwrmRgMtInohiBnteNjeEabiIgo1BKlc9qtNjvONXbB7nDhD8eujPt1e/odnhnaCTGjBrerb/IEZTPTzXjhgSJkJ7i7kY810L7a0Yv7Xz2Ax399FFc7etHvcEGvUSMrwYhMKWhPG2PZuD9yN/LmEQJo+Zy5+7rASt77nS54H5k/WdeBbrsDp+s78Z97PkVPv2P4J0cAq919DCEuSn6Xi45PSUQ3vLVzM/FxXQeW5CeHeylERESTXoKU0b7QYlPmTL9z4gq+taYQWk1gubrD1a147JeHMVMaj5VlGb0ZVl6yCU8sn4qrHb3Y9vA8JMTqYdRrALiz7T39DsTqRw5pLjTb4BJAVbMNFXUd0uvGQqNWKWvIGEegLc/fHq4kXAiBv59tVn4ONKPd1+9S/pyTaMSV9l78/mgt/vvgJVxp74VaBXxjzcyAXnsi2PrcXwSYDdERgjKjTUQ3hH9dmodTJXdhSf7kP9NDREQUbnLn8fONnnLoZqsdH1W1BPyafzp5FUK4G4cBIzdC81Zy/xz84vHFyprMMTqlwq2ubfSsdmOnJ4P8fmUDACBf6ly+enY6shOM+Kd5gY8ZlrPhTcNkqquabajv6IVGyt639wyg3+Hye+1I5LJxrVqFr6yYBgB48f1zuNLu/jvYcfiyzxnuSGOzS4F2lPTbYaBNRDcMTYBnp4iIiOj6yLO0P23yPZe982hdwK8phO+osOwRGqGNJl9qzCY3NhtJg1eg/eGnzdLz3YH2/NwE/OM7q3B/cVbAa5G7lQ+X0a6XAuGZ6WZopd9lrtns2HH4Mg5evDbm9+mTAm2jToOHFubAHKOFQ6ol16hVaO8ZwNsnxl/eHypdUkY7WkrHGWgTEREREZGPBGnE10WpAZo8u3rvJ02ovNIZ0GvKncZlY81o+yOvZyyBdmOXJ+vdN+DyeX4wKKXj1j64/Mwd7+h1j/1KMumREue+9oNzzfiPd0/jid+Uj/nvU85oG3QamAxaPHpzLgB3Gfkzd7lLxn9zoGbIFxqRwO5wKln8OJaOExERERFRNJLLtOXg6JZpyXhwQTYA4Pt//SSgYK5JyvgunJKA3CQjVoxjNJVc+j2WTuj+5m1PTQ5eoJ0SZ4BKBQw4Bdp7hs7S7uhxNwGzxOqQJgXl+6US/H6nC0/97gS6+kafVy4H2ka9O4TbtGoGnlg+Fa9uWIjPL82DXqNG9bVupZR8PPoGnEEN2LvtnpJ2BtpERERERBSVEgaN00wzG/DNu2ZCr1XjcHWbUoJ9PeSM9gsPzMX+Z1aNK6Odfz0Z7c6hgbZcOh4MOo1amcHd5Kd8vLNXCrSNOqRKGe0jNW3K47VtPdi+7+Ko79PX7ykdl1+v5P45mJ+bgDiDFgXShJZzjcOPGRuLP52sx6z/2I33TjWM63W8yY3QTHpN1BwFZKBNREREREQ+5PFesrR4A7ITjNiwZAoAYLc013qs+h0utHa7s70ZlsDPZsu8A+1zjV146s0TqJPmYw/W0Omb4Y0zaJWAN1jSzMM3RJMz2glGHVLNBp/7bp6aCAD48NzoX1z0DvgG2oPNynB3cz/X0HU9Sx/i7RP1AIC/fdI0ypVjJ2fso+V8NsBAm4iIiIiIBhma0XYHkssL3GM2P667vnPaLTZ3plenUSmN1sZDDrRbu/vx7K7T+EtlA948Ujvkum67Q2nCJQei+SkmqFTBzarK57RbRshoJ8R6Am3ZE8vzoVK5s9DNXSPP15YD7ZhhAu2ZcqDdFHhG2+F04fgld7b94hjK8sdK7jgeLWXjAANtIiIiIiIaJGFwRlsKEOfnJgAAqpqt6JaCp7GQy7fTzDFBCXJNBq0S3B6/3A5gaOYaABql4NVs0GKxlD3OD2IjNJnceXxwwzfAt3Q8bVCgffPURMzNtgAADlwYuQO5PLpLniM+mBxofzqO0vEzV7vQLb1PdUs3nC6Bre+fxTvj7GZuUzqOR8doL4CBNhERERERDTI46yw38UqLj0GmJQYuAZyuH3tWW87WBqNsXDYtJc7n5wY/Tc/kAD/DEoOHFuZgVoYZDy3KCdoaZCPN0u6QGqRZjHqfjLY5RotUswG3Tk8BAOyvGjnQ7huldPymjHgA7nJ6u8N9rcsl4HCOfWb3Ua+z470DTrxbUY+fl1XjuT+dGdIcrarJioe2H0TZ+dFnq8sZ7XiWjhMRERERUbQyx+ggJ55VKihjqQBgXo47A/vxlY4xv56cWZaz0MEwuKFZQ9fQjHaDV6C9YEoidm9egZXj6HY+HPlz+WuG1jFM6XhBahxUKhU+O8O9nv1V1/yOB5PJo8mGC7TT4w2wGHVwugQuNNtwscWGO/+rDHe8VKYE6d4u+KlKOFLT6vPzW8fcc9OtdgdarL6fbffpRhy/3I4/Hh89222Vz2izdJyIiIiIiKKVRq2CRZqlnWzSQ6fxhA3FUvn49ZzTlgNQ+ax3MAyehd3YOXSOdaNUTp4ZxEy6P/Ln8nfOurPHK9CO86yjINWdkV+Yl4BYvQbXbHacbx6+7Nt7jrY/KpVKKR9/80gtHtp+EBdbunG5tQfHLrX7XHuh2YbVL32EVT/cp2Sbe/udSkY7W+oI753hvtji2+Fd/gKhw89Is8GsPKNNRERERETk6TyeOig4np+TAOD6MtqhKB2XA9Vkk16ZY32t2zfr6sloBz5KbCyGy2gLIXzHe3lltKdL47gMWg1mSH+uaxt+BvZoXccBT8O33x2pRUfPgDJK6+BF37L0C1JA39Rlx//8fQU2/PIwZj+3G119DsTqNbhnXuaQ166+5tscTZ4Z3tU7+gxw+Yy2mWe0iYiIiIgomskZ7cENvIqk0vEr7b0+5cTnGrtQOmgk1JtHLuMrrx/DWalBVzBLx1cUpuJrtxXgvx6Zr4zrGjwzW/451BltuRlai80Op1dWvbvfCYf0c4JRD6NeA7OU1S3wKn1PltZ/zTa09FzmaYY2fAg3SzqnDQAPLcxByf1zAACHqn1LwuVO7ADwwblmHLzYCiGAJJMeT6+agcJ085DXrh6U0ZYz9R0jBNr9DhecLgGr0gwtejLa0fNJiYiIiIhozOSGaIMD7fgYHWZnxuOThi689/FVPLZkCv7P7nN4/dAluATw502fwbycBOz7tBn//u5pePfQSg9i6bhGrcIzd88CAGQmGNFsteNqRx/mefU6q+9wZ4iDmUn3J9mkh1oFOF0Crd12pZRcLqvWa9WI0bkD5KUFyThS3YpFeYnK81Pi3NUDrSME2qM1QwOAe+Zl4vjldtw6IxmfW5CD+o5e/AeAU1c6YbM7lNJt7yy02aDFP83NxKZV05GbFAsAqKhtH/La1YPGfXlKx/0H2naHE2tf3g+dWq2UtJujqHQ8ej4pERERERGNmVw6nuYnC73hlin493dP47VDl1BR14H3Pr6qPHa+yYZUswGb3zqJQY2qkR6igDczPgYfw3MmG3AHreelmdL+MrTBpNWokWkxor6jF3VtvV6BtnQ+26hTxpr9/F8Wod/p8pmH7cloD3/eebQ52oC7CuGH64uVn7MTjMhLjsXl1h6U17Th9llpADwZ7X9dmofnHyga8jrTUj0d3RfnJeLY5XZUX/PNaCul430DcLqEUqYuK69pV7LgaumxaMpos3SciIiIiIiGeGBBNopzLLhnbtaQxx5cmI34GC0ut/bgvY+vQqNWKfOga9t68IfyK+joGUBRdjyWTktSnieXWAdbZoL7dRs6+9Db74TD6cLfzjbBJYCi7HiluVco5Sa536O2zROQdnmdz5ap1aohwXKyyf2lxthKx4cPtP1ZXpAMwPectryueKP/wNdi1Cll/v+82F0iUNfWo4wNAzyl40J4uop7KzvfrPxZPhNuZqBNRERERETRbEVhKv606VbMzoof8lisXovHlkxRft50+3TcXZQBALjS1oMqKbC6vzgLLzxQBLUKyE8xhazrdJbU7OzopTbc/P2/YcOvjuD/nWoAANw1OyMk7zlYXpL7zHVtqyer7j3aayRyk7TWETLafY6Rx3sNZ3mBe073zqN1+ORqFwCvQHuE5mTfW1eEr95WgIcX5cKk18AlgNrWHgDuJm/eZ7P9lY97z9cecLpLG9h1nIiIiIiIaAQbl09FYqwOS6cl+ZzvrWvvQY1UZpyfEofpaWbs//Yq/PHJZSFbi3wGu6K2Aza7A0dr2rC/yp3BvatoYgLtKcnuz3/ZK6MtB6AWo37E5yabRm+G1tc/+hltf+6ak4El+Umw2h3Y+NujaOrqQ1efnNEePtC+a04Gvn33LGjUKqWUXC4ft9odPk3fOgc1RLva0YvzTb5nuoHoymhHzyclIiIiIqKgyUow4uizq6FWqaBRqzBFCrQvt/Yos5mnSZ21Q126nZXgvyR9WopJGZ0VavLnl7O+AHxGe40kxSw1Q+se3xltf/RaNX75+GI8vP0gqppt2FVRj65ex5jWJZuWakJlfady5rpzUAZ7cOfxj7yy2d7iDBzvRURERERENCKdRq00wcpNdAfTzVY7evqd0HoF36GW6TUnOyFWh/uL3efK75+fpTQhC7U8KaNd2+YJtDt6+5U1jUTOaLf39MPhdPm9JtBAG3AH1HfclA4AaO6yezLaY5xrLX9Zca7RXXo+uFRc7q4u+6jKHWjLc71l0ZTRZqBNRERERETjlmTSw+TVqGtKUix0mokJN9LMBshNrx+Yn42X1hfj919eiq/dNn1C3h/wZLSbrXalcVmnV9fxkSTG6qBSuRuLtfX4z2oH2gxNJo8Qu2azK5n24ZqhDVacmwAAOCGN/ZK/QJANLh0/1+A+o79ufrbP/ew6TkREREREdB1UKpVyThvwlI1PBK1GjZkZ8dCqVXh0SS60GjWWFSRDr524cCchVo94KZCUs9rKeK9RMtpajRpJsfIsbf+B9ljmaI8kJc5zDnwszdC8zc9NgEoF1LX1osVqR/uQjLbn5wGnS/n8t81M9bnOpGegTUREREREdF1yEr0D7Yk5Gy379cbF+NOmz2BWxtAu6RNFaYjWKp1l7h296ZgsOW7kQLs3SIF2U1cfuqXs+FjWBQDmGB0K09xl4Cdq29E5KOvuHWjXtvXA4RIw6jSYmW5Wvnww6TVDZm1PZgy0iYiIiIgoKLzPZE9LmbiMNuBuzjYnyzKh7zmYMuJLzmgr471G7joO+GacBxNCKBntGH1gIZwcyHufIb+eM9ML8xIAuAPtwWe0vUvH5YZp+SkmqNWeKgfzGLPnkwUDbSIiIiIiCorcJE9TsonOaEcCOaO9v+oavvfeJ0pme7Qz2gCQPEKg3e90QZ6mNd6MtjzT2qTXXNcZ+gVTEgEAFZc7lNJxuSS+0+vMdnWLe6yXfHRA/vIlms5nAxzvRUREREREQTIlTGe0I4X8+cvOt6BMGnFl0KrH1H1dblbmb8RXX7+nE3kgXccBd7M6ueEaMPaycdlCKdD++EoH0qW55VOTTTjZ0+GT4ZYz2vIXLXJGO84QXaFndH1aIiIiIiIKmQIpuEqJ0yPZNHq59GSzOC8RGrUKOo0K987LwtJpyVg6LQmJY/i7UErHrUMz2vL5bK1aFXAnd41ahaRYvRLIj7URmmxaigkWow6dvQM4XN0KAJiaHIuTdR0+c7Srr7kz2gWDMtpjndk9WYSkdNxqtWLz5s3Iy8uD0WjE8uXLUV5erjwuhEBJSQmysrJgNBpx22234cyZM6FYChERERERTZCpKSb86JH5+OnnF03Y/OpIMiPdjH98exWOPrsa//nPxXh4UY5Pg7iRyF9M+Mtoj7cRmkwO5oGxj/aSqdUq3JKfBABokb4MyEt2B9N+M9op7i9d7p2XiXXzs/CVFdMCX/gNKCSB9pe+9CWUlpZix44dqKysxJo1a7B69WrU19cDALZt24aXXnoJr776KsrLy5GRkYE777wTVqs1FMshIiIiIqIJ8sCCbCyRArJolGGJue5sMTByMzR5hnZMgDO0lfcwezLrgazx9llpPj9PTXF/idDZ2w8hBDp7BpQvCvKljHZCrB4vP7oAn5meEuiyb0hBD7R7e3vx9ttvY9u2bVixYgWmT5+OkpIS5OfnY/v27RBC4Ec/+hGeffZZPPjggygqKsJrr72Gnp4e/O53vwv2coiIiIiIiCLeSOO9gpXRTjZ5Z7QDCLRn+gbackZ7wCnQO+DERalsPD3eEHVnsgcLeqDtcDjgdDoRExPjc7/RaMSBAwdQU1ODxsZGrFmzRnnMYDBg5cqVOHjwoN/XtNvt6Orq8rkRERERERFNFt4ZbSF3LJPYQ1A6HsiZ6QxLDGZneuaUZ1mM0GncRwQ6egaGlI1Hs6AH2mazGcuWLcPzzz+Pq1evwul04o033sCRI0fQ0NCAxsZGAEB6errP89LT05XHBtu6dSssFotyy83NDfayiYiIiIiIwkbOaNsdLtjsDp/HegdCUToeWMb59lmpyp8TYnWwGN2v2dEzgMorHQCAWZnmwBc5SYTkjPaOHTsghEB2djYMBgNeeeUVbNiwARqNZ2MMbo4ghBi2YcKWLVvQ2dmp3Orq6kKxbCIiIiIiorCI1WsRKwXSg8vHPaXj4wvfUsZZOg4Aq6Rz2maDFjE6jTJLu6O3HydqOwB4RoFFs5AE2gUFBSgrK4PNZkNdXR2OHj2KgYEB5OfnIyMjAwCGZK+bm5uHZLllBoMB8fHxPjciIiIiIqLJRC7tbu32bYimNEMbb+n4OJuhAe4gesvaWfj+g3MBuM9jA8DHdZ042+A+4rtgSsK41jkZhCTQlplMJmRmZqK9vR179uzBunXrlGC7tLRUua6/vx9lZWVYvnx5KJdDREREREQUseTy8Rarb0a7LwLGe8lUKhX+x8oC3F+cBcDTIO3nH12EwyWQZjYgO8E4rnVOBiEJtPfs2YPdu3ejpqYGpaWluP322zFz5kx84QtfgEqlwubNm/GDH/wAu3btwunTp/HEE08gNjYWGzZsCMVyiIiIiIiIIt5wGe2Gzj4AQJJJP+Q51yPZO9AOMKM92F1z3BXL8iztBVMSonKG+mAh6bne2dmJLVu24MqVK0hKSsJDDz2E73//+9Dp3P8xn3nmGfT29uJrX/sa2tvbccstt2Dv3r0wm3lonoiIiIiIolOKlNG+Niijfb7JCgCYmTG+eCnZK1AP9Iz2YLlJsSjKjsfpenfZOM9nu4Uk0F6/fj3Wr18/7OMqlQolJSUoKSkJxdsTERERERHdcOQ514Mz2p9KgXZh+vgC7RidBtkJRjR19SHTEjP6E8ZobVGmEmgvYKANIMRntImIiIiIiGhs5Iy2d9fxbrsDdW29AMYfaAPAjn9bgj88ucynjHy87i5yl48btGrMzbYE7XVvZCHJaBMREREREdH1kYPfFpsno13VbAMApJoN4z6jDQDTUuPG/RqDFaTG4Wf/shAmgxbGcc76niwYaBMREREREUUApRmaV6B9vlE6nx2EbHYo3V2UGe4lRBQG2kRERERERBFAKR3v7sev9lfjr5UNyJDOUgejbJwmDgNtIiIiIiKiCCCXjnf0DOAnH15AuzQyCwAK04Nf8k2hw2ZoREREREREESDBqING7Z5B7R1kA0DhOEd70cRioE1ERERERBQB1GqVT8MzKeYGAMxIY0b7RsLScSIiIiIiogiREmdAi9XdDO2J5fmouWZDblIszDG6MK+MrgcDbSIiIiIiogghN0QDgM8WpuB/3Tc7jKuhQLF0nIiIiIiIKEIkS6XjKhWwcEpimFdDgWKgTUREREREFCHkWdoz082wGFkufqNioE1ERERERBQhZkhjvFbOTA3zSmg8eEabiIiIiIgoQjy8KBfT0+IwJ8sS7qXQODDQJiIiIiIiihAatQqL8pLCvQwaJ5aOExEREREREQURA20iIiIiIiKiIGKgTURERERERBREDLSJiIiIiIiIgoiBNhEREREREVEQMdAmIiIiIiIiCiIG2kRERERERERBxECbiIiIiIiIKIgYaBMREREREREFEQNtIiIiIiIioiDShnsBgRBCAAC6urrCvBIiIiIiIiKKBnL8KcejI7khA22r1QoAyM3NDfNKiIiIiIiIKJpYrVZYLJYRr1GJsYTjEcblcuHq1aswm81QqVThXs6Iurq6kJubi7q6OsTHx4d7OUQ+uD8pknF/UiTj/qRIxv1JkexG3p9CCFitVmRlZUGtHvkU9g2Z0Var1cjJyQn3Mq5LfHz8DbeRKHpwf1Ik4/6kSMb9SZGM+5Mi2Y26P0fLZMvYDI2IiIiIiIgoiBhoExEREREREQURA+0QMxgMeO6552AwGMK9FKIhuD8pknF/UiTj/qRIxv1JkSxa9ucN2QyNiIiIiIiIKFIxo01EREREREQURAy0iYiIiIiIiIKIgTYRERERERFREDHQJiIiIiIiIgoiBtoh9NOf/hT5+fmIiYnBokWLsH///nAviaLARx99hPvuuw9ZWVlQqVR49913fR4XQqCkpARZWVkwGo247bbbcObMGZ9r7HY7nn76aaSkpMBkMuH+++/HlStXJvBT0GS0detW3HzzzTCbzUhLS8MDDzyATz/91Oca7k8Kp+3bt2PevHmIj49HfHw8li1bhvfff195nPuTIsXWrVuhUqmwefNm5T7uTwqnkpISqFQqn1tGRobyeDTuTwbaIfLWW29h8+bNePbZZ1FRUYHPfvazWLt2LWpra8O9NJrkuru7UVxcjFdffdXv49u2bcNLL72EV199FeXl5cjIyMCdd94Jq9WqXLN582bs2rULO3fuxIEDB2Cz2XDvvffC6XRO1MegSaisrAxPPfUUDh8+jNLSUjgcDqxZswbd3d3KNdyfFE45OTl48cUXcezYMRw7dgyrVq3CunXrlF8GuT8pEpSXl+MXv/gF5s2b53M/9yeF25w5c9DQ0KDcKisrlceicn8KCoklS5aIJ5980ue+WbNmie985zthWhFFIwBi165dys8ul0tkZGSIF198Ubmvr69PWCwW8bOf/UwIIURHR4fQ6XRi586dyjX19fVCrVaL3bt3T9jaafJrbm4WAERZWZkQgvuTIlNiYqL41a9+xf1JEcFqtYoZM2aI0tJSsXLlSvH1r39dCMF/Pyn8nnvuOVFcXOz3sWjdn8xoh0B/fz+OHz+ONWvW+Ny/Zs0aHDx4MEyrIgJqamrQ2NjoszcNBgNWrlyp7M3jx49jYGDA55qsrCwUFRVx/1JQdXZ2AgCSkpIAcH9SZHE6ndi5cye6u7uxbNky7k+KCE899RTuuecerF692ud+7k+KBFVVVcjKykJ+fj4effRRVFdXA4je/akN9wImo2vXrsHpdCI9Pd3n/vT0dDQ2NoZpVURQ9p+/vXn58mXlGr1ej8TExCHXcP9SsAgh8I1vfAO33norioqKAHB/UmSorKzEsmXL0NfXh7i4OOzatQuzZ89WftHj/qRw2blzJ06cOIHy8vIhj/HfTwq3W265Ba+//joKCwvR1NSEF154AcuXL8eZM2eidn8y0A4hlUrl87MQYsh9ROEQyN7k/qVg2rRpE06dOoUDBw4MeYz7k8Jp5syZOHnyJDo6OvD2229j48aNKCsrUx7n/qRwqKurw9e//nXs3bsXMTExw17H/UnhsnbtWuXPc+fOxbJly1BQUIDXXnsNS5cuBRB9+5Ol4yGQkpICjUYz5NuX5ubmId/kEE0kufvjSHszIyMD/f39aG9vH/YaovF4+umn8ec//xkffvghcnJylPu5PykS6PV6TJ8+HYsXL8bWrVtRXFyMl19+mfuTwur48eNobm7GokWLoNVqodVqUVZWhldeeQVarVbZX9yfFClMJhPmzp2LqqqqqP33k4F2COj1eixatAilpaU+95eWlmL58uVhWhURkJ+fj4yMDJ+92d/fj7KyMmVvLlq0CDqdzueahoYGnD59mvuXxkUIgU2bNuGdd97BBx98gPz8fJ/HuT8pEgkhYLfbuT8prO644w5UVlbi5MmTym3x4sX4/Oc/j5MnT2LatGncnxRR7HY7zp49i8zMzOj99zMcHdiiwc6dO4VOpxO//vWvxSeffCI2b94sTCaTuHTpUriXRpOc1WoVFRUVoqKiQgAQL730kqioqBCXL18WQgjx4osvCovFIt555x1RWVkpHnvsMZGZmSm6urqU13jyySdFTk6O+Nvf/iZOnDghVq1aJYqLi4XD4QjXx6JJ4Ktf/aqwWCxi3759oqGhQbn19PQo13B/Ujht2bJFfPTRR6KmpkacOnVKfPe73xVqtVrs3btXCMH9SZHFu+u4ENyfFF7f/OY3xb59+0R1dbU4fPiwuPfee4XZbFZin2jcnwy0Q+gnP/mJyMvLE3q9XixcuFAZYUMUSh9++KEAMOS2ceNGIYR7xMJzzz0nMjIyhMFgECtWrBCVlZU+r9Hb2ys2bdokkpKShNFoFPfee6+ora0Nw6ehycTfvgQgfvvb3yrXcH9SOH3xi19U/r+dmpoq7rjjDiXIFoL7kyLL4ECb+5PC6ZFHHhGZmZlCp9OJrKws8eCDD4ozZ84oj0fj/lQJIUR4culEREREREREkw/PaBMREREREREFEQNtIiIiIiIioiBioE1EREREREQURAy0iYiIiIiIiIKIgTYRERERERFREDHQJiIiIiIiIgoiBtpEREREREREQcRAm4iIiIiIiCiIGGgTERERERERBREDbSIiIiIiIqIgYqBNREREREREFEQMtImIiIiIiIiC6P8DqvuBxKrcdFMAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "S0 = 100 # Initial stock price\n", "mu = 0.09 # Expected annual return (9%)\n", "sigma = 0.25 # Annual volatility (25%)\n", "T = 2 # Time horizon in years\n", "dt = 1/252 # Time step in years, assuming 252 trading days per year\n", "N = int(T/dt) # Number of time steps\n", "t = np.linspace(0, T, N) # Time vector\n", "\n", "# Brownian Motion\n", "dW = np.random.normal(0, np.sqrt(dt), N)\n", "W = np.cumsum(dW)\n", "\n", "# Geometric Brownian Motion\n", "S = S0 * np.exp((mu - 0.5 * sigma**2) * t + sigma * W)\n", "\n", "plt.figure(figsize=(12, 4))\n", "plt.plot(S)\n", "plt.title('Geometric Brownian Motion');" ] }, { "cell_type": "markdown", "id": "d8b0d024", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Variance of GBM\n", "\n", "- First, note that $S(t)$ is *log-normally distributed* because it's an exponential function of a normally distributed process $B(t)$. \n", "- The variance of $S(t)$ can be found from the properties of the log-normal distribution:\n", "\n", "$$\\text{Var}(S(t)) = \\left(e^{\\sigma^2 t} - 1\\right) e^{2\\mu t + \\sigma^2 t} S_0^2.$$\n", "\n", "- This shows that the variance of GBM is not linear in $t$ like the BM.\n", "- Instead, it grows *exponentially* with time due to the exponential term $e^{\\sigma^2 t}$.\n", "- This, and the possibility of modelling drift (expected annual return) are the main additions of GBM over BM." ] }, { "cell_type": "markdown", "id": "fd0ea3a5", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Real world applications\n", "\n", "- GBM can be used to model real stock prices and simulate their future behavior.\n", "- First, we estimate $\\mu$ and $\\sigma$ from historical stock price data. \n", " - $\\mu$ could be the historical average of the stock's logarithmic returns.\n", " - $\\sigma$ could be the standard deviation of those returns.\n", "- Then, we use these estimates in the GBM formula to simulate future price paths." ] }, { "cell_type": "markdown", "id": "75fb52ca", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- This method is widely used for option pricing, risk management, and investment strategy simulations. \n", "- However, GBM has limitations, such as assuming a *constant* drift ($\\mu$) and volatility ($\\sigma$).\n", "- These assumptions may not hold true in real markets. \n", "- Therefore, it's often used as a component of a broader analysis or modeling strategy." ] }, { "cell_type": "code", "execution_count": 15, "id": "386caf9c", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "# Step 1: Get the \"training\" data (e.g., 2020-2022)\n", "data2 = get_data('GOOG', period='1d', start='2019-12-31', end='2022-12-31')" ] }, { "cell_type": "code", "execution_count": 16, "id": "3e43405e", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "# Get \"test\" data, for comparison (e.g., 2023)\n", "data3 = get_data('GOOG', period='1d', start='2022-12-31', end='2023-12-31')\n", "test_days = len(data3)" ] }, { "cell_type": "code", "execution_count": 17, "id": "43f37baa", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "# Step 2: Calculate Daily Returns\n", "returns = data2['Close'].pct_change() # We are interested in returns, so we get the changes in %" ] }, { "cell_type": "code", "execution_count": 18, "id": "81ad850f", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "# Step 3: Estimate Parameters for GBM\n", "mu = returns.mean() * 252 # Annualize the mean\n", "sigma = returns.std() * np.sqrt(252) # Annualize the std deviation" ] }, { "cell_type": "code", "execution_count": 19, "id": "36a42ef8", "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "# Step 4: Set GBM parameters\n", "T = 1 # Time horizon in years\n", "dt = 1/test_days # Time step in years, assuming 252 trading days per year\n", "N = int(T/dt) # Number of time steps\n", "time_step = np.linspace(0, T, N)\n", "S0 = data2['Close'].iloc[-1] # Starting stock price (latest close price) " ] }, { "cell_type": "code", "execution_count": 25, "id": "8a9259e0", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [], "source": [ "# Step 5: Compute Simulation\n", "W = np.random.standard_normal(size=N)\n", "W = np.cumsum(W)*np.sqrt(dt) # Cumulative sum for the Wiener process\n", "X = (mu - 0.5 * sigma**2) * time_step + sigma * W\n", "S = S0 * np.exp(X) # GBM formula" ] }, { "cell_type": "code", "execution_count": 26, "id": "eca38bf4", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the results\n", "plt.figure(figsize=(12, 5))\n", "plt.plot(data2['Close'], label='GOOGL Historical Closing Prices')\n", "plt.plot(data3.index, S, label='Simulated GBM Prices')\n", "plt.plot(data3['Close'], label='Real Prices')\n", "plt.legend()\n", "plt.title('Google Stock Prices and Simulated GBM')\n", "plt.xlabel('Date')\n", "plt.ylabel('Price')\n", "plt.xticks(rotation=45);" ] }, { "cell_type": "markdown", "id": "bd3c435d", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- There is a stochastic component in each GBM realization..\n", "- Usually, more paths are simulated to get a more informative simulation." ] }, { "cell_type": "code", "execution_count": 22, "id": "1b5b3b6a", "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [], "source": [ "# Simulate multiple paths\n", "n_paths = 10\n", "paths = []\n", "for _ in range(n_paths):\n", " W = np.cumsum(np.random.standard_normal(size=N))*np.sqrt(dt)\n", " X = (mu - 0.5 * sigma**2) * time_step + sigma * W\n", " paths.append(S0 * np.exp(X))\n", " \n", "path_mean = np.array(paths).mean(axis=0)\n", "path_std = np.array(paths).std(axis=0)" ] }, { "cell_type": "code", "execution_count": 23, "id": "4c0fefc0", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12, 5))\n", "plt.plot(data2['Close'], label='GOOGL Historical Closing Prices')\n", "plt.plot(data3.index, path_mean, label='Simulated GBM Prices')\n", "plt.fill_between(data3.index, path_mean-1.96*path_std, path_mean+1.96*path_std, color='tab:orange', alpha=0.2, label='95% CI')\n", "plt.plot(data3['Close'], label='Real Prices')\n", "plt.legend(loc='upper left')\n", "plt.title('Google Stock Prices and Simulated GBM')\n", "plt.xlabel('Date')\n", "plt.ylabel('Price')\n", "plt.xticks(rotation=45);" ] }, { "cell_type": "markdown", "id": "699111fe", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "---" ] }, { "cell_type": "markdown", "id": "7003d1a6", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Summary\n", "\n", "In this lecture we covered:\n", "1. Unit root test and a deeper insight on ADF test.\n", "2. Mean Reversion and how to test it with ADF.\n", "3. Hurst Exponent: how to compute it and its application in finance.\n", "4. Geometric Brownian Motion: definition and application to simulate stocks.\n", "\n", "---" ] }, { "cell_type": "markdown", "id": "eb9d953c", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Exercise \n", "\n", "- Download and plot the historical closing prices of Tesla (``TSLA``) and Equinor (``EQNR``) for the years ``2019-12-31``- ``2022-12-31``.\n", "- For each time series:\n", " - Test if the time series look stationary.\n", " - Compute the Hurst coefficient for both time series.\n", " - Which stock would you like to invest into? Motivate your answer based on the tests and the value of $H$.\n", " - Simulate the stock prices using GBM." ] }, { "cell_type": "markdown", "id": "c770bd79", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- Which simulation seems to be more reliable? The one for Tesla or Equinor? \n", "- To motivate your answer: \n", " 1. compute the simulation at least 100 times.\n", " 2. Compute the MSE between the true stock prices and the simulated ones.\n", " 3. Compare the expected value of the MAPE for the two stocks." ] } ], "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.10.16" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false }, "varInspector": { "cols": { "lenName": 16, "lenType": 16, "lenVar": 40 }, "kernels_config": { "python": { "delete_cmd_postfix": "", "delete_cmd_prefix": "del ", "library": "var_list.py", "varRefreshCmd": "print(var_dic_list())" }, "r": { "delete_cmd_postfix": ") ", "delete_cmd_prefix": "rm(", "library": "var_list.r", "varRefreshCmd": "cat(var_dic_list()) " } }, "types_to_exclude": [ "module", "function", "builtin_function_or_method", "instance", "_Feature" ], "window_display": false } }, "nbformat": 4, "nbformat_minor": 5 }