{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Stationarity\n", "\n", "<img src=\"media/cover.png\" style=\"width: 40%; display: block; margin: auto;\">" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" }, "tags": [] }, "source": [ "## Introduction\n", "\n", "- Previously, we learned that time series is data that is measured at equally-spaced intervals. \n", "- We also learned that time series data can be decomposed into three parts: trend, seasonality, and residuals. \n", "- Now we'll dig deeper by discussing an important concept called **stationarity**. \n", "- Having a firm grasp of this will lay the foundation necessary to understand more advanced modeling strategies that we'll introduce later." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "In this lecture we will cover\n", "- Definition of stationarity and examples of common stationary and nonstationary time series.\n", "- How to detect stationarity.\n", "- The most common ways to transform nonstationary time series into stationary ones." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "slideshow": { "slide_type": "skip" }, "tags": [ "hide-input" ] }, "outputs": [], "source": [ "# Imports\n", "import warnings\n", "warnings.filterwarnings('ignore')\n", "from io import BytesIO\n", "import requests\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "from scipy.integrate import quad\n", "from statsmodels.tsa.arima_process import ArmaProcess\n", "from statsmodels.tsa.stattools import adfuller\n", "from statsmodels.tsa.seasonal import seasonal_decompose\n", "np.random.seed(0) # Reproducibility" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "---" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" }, "tags": [] }, "source": [ "## Stationary Time Series" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Why is stationarity important?\n", "\n", "- Stationarity is a fundamental assumption in many time series forecasting models.\n", "- Without it many basic time series models would break.\n", "- Transformations can be applied to convert a nonstationary time series to a stationary one.\n", "- There are advanced time series models that can handle nonstationary data (beyond the scope of this lecture)." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "### What is stationarity?\n", "\n", "- 💡 Intuition: a time series is stationary when there are no changes in the underlying system that generates it.\n", "- In the following, we define:\n", " - Strict stationarity.\n", " - Weak stationarity.\n", " - Things to check in practice." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "#### Strict stationarity\n", "\n", "- A stochastic process $X(t): t \\in \\mathcal{T}$ is called strictly stationary if, for all $t_1, t_2, \\dots, t_n \\in \\mathcal{T}$ and $h$ such that $t_1+h, t_2+h, \\dots, t_n+h \\in \\mathcal{T}$, it holds that\n", "\n", "$$\\big(X(t_1),X(t_2), \\dots, X(t_n)\\big) \\stackrel{\\text{D}}{=} \\big(X(t_1+h),X(t_2+h), \\dots, X(t_n+h)\\big)$$\n", "\n", "- where $\\stackrel{\\text{D}}{=}$ indicates that the distributions are equal.\n", "- In plain words, the joint distribution of any set of observations in the series remains the same regardless of the time at which the observations are taken." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- Strict stationarity is very difficult to verify, especially from a limited amount of data.\n", "- For this reason, one checks the *Weak stationarity*." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "#### Weak stationarity\n", "\n", "- A time series $X$ is weakly stationary if:\n", "\n", " 1. The mean is constant over time $\\mathbb{E}[X(t)] = m, \\;\\; \\forall t \\in \\mathcal{T}$\n", " 2. The variance is finite $\\mathbb{E}[X(t)^2] < \\infty, \\;\\; \\forall t \\in \\mathcal{T}$\n", " 3. The covariance of $X(t)$ and $X(t+h)$ depends only on $h$, i.e., is shift-invariance in time." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- Strict stationarity + condition 2 $\\implies$ weak stationarity" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "#### Things to check in practice.\n", "\n", "1. Constant mean (no trend).\n", "2. Constant variance (no heteroskedasticity).\n", "3. Constant autocorrelation structure.\n", "4. No periodic component (✋ careful here)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- Mean, variance, and periodic component (aka seasonality) should be familiar from the previous lecture. \n", "- Autocorrelation may not be. \n", "- Let's start with a simple example of a stationary time series." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- Let's create an utility function to make plots." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [], "source": [ "def run_sequence_plot(x, y, title, xlabel=\"Time\", ylabel=\"Values\", ax=None):\n", " if ax is None:\n", " _, ax = plt.subplots(1,1, figsize=(10, 3.5))\n", " ax.plot(x, y, 'k-')\n", " ax.set_title(title)\n", " ax.set_xlabel(xlabel)\n", " ax.set_ylabel(ylabel)\n", " ax.grid(alpha=0.3)\n", " return ax" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- First, we create a variable `time` that defines equally-spaced time intervals.\n", "- Then we'll sample values from a Normal distribution with a mean of 0 and a standard deviation of 1.\n", "- Essentially we're creating white noise, which is a stationary time series as it exhibits all the properties required of a stationary time series." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [], "source": [ "T = 200\n", "time = np.arange(T)\n", "stationary = np.random.normal(loc=0, scale=1.0, size=(T))" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 1000x350 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = run_sequence_plot(time, stationary, title=\"Stationary TS\")\n", "ax.plot(time, np.ones_like(time)*np.mean(stationary), linewidth=2, color='tab:red', label='Mean');\n", "ax.fill_between(time, np.ones_like(time)*(stationary.mean()-1.96*stationary.std()), \n", " np.ones_like(time)*(stationary.mean()+1.96*stationary.std()), \n", " color='tab:red', alpha=0.2, label='std')\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- We can easily check that the white noise has constant mean, constant variance, and no periodicity.\n", "- What about the autocorrelation?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "#### Autocorrelation\n", "- Autocorrelation measures how much the current time series measurement is correlated with a past measurement. \n", "- For example, today's temperature is often highly correlated with yesterday's temperature. \n", "- To discuss these things we must introduce the idea of a *lag*, i.e., a delay. " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "- Say you wanted to know if today's temperature correlates more with yesterday's temperature or the temperature from two days ago. \n", "- You could test this by computing the correlation between the original time series and the same series delayed 1 time step. \n", "- The second value of the original time series would be compared with the first of the delayed time series. \n", "- The third original value would be compared with the second of the delayed. \n", "- And so on. " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "- Performing this process for a lag of 1 and a lag of 2, respectively, would yield two correlation outputs. \n", "- This output would tell you which lag is more correlated. \n", "- The process is usually repeated for $N$ different lags.\n", "- Autocorrelation often results in a pattern, whereas a time series without autocorrelation looks random." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "The covariance of $X(t_1)$ and $X(t_2)$ is called *autocovariance* and is slightly different from the autocorrelation.\n", "- Autocorrelation: \n", "\n", "$$R_{xx}(t_1,t_2)=\\mathbb{E}[X(t_1)X(t_2)]$$\n", "\n", "- Autocovariance: \n", "\n", "$$C_{xx}(t_1,t_2)=\\mathbb{E}[(X(t_1)−\\mu_{t_1})(X(t_2)−\\mu_{t_2})]=R_{xx}(t_1,t_2)−\\mu_{t_1}\\mu_{t_2}$$\n", "\n", "- $\\mu_{t_1}$ and $\\mu_{t_2}$ are the means of the time series at times $t_1$ and $t_2$, respectively.\n", "- If $X(t)$ has zero-mean, autocorrelation and autocovariance coincide.\n", "- Since obtaining a time series with zero-mean is trivial, we'll use the two terms interchangeably." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- Assumption #3 in weak stationarity requires the time series to have constant (time-independent) autocovariance.\n", "- If the autocovariance remains constant throughout the series, a simple transformation can be used to remove it.\n", "- This will be useful for several future models." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "**Example: constant autocorrelation**\n", "\n", "- Time series of daily temperature in a specific location over a year. \n", "- If this location has a very stable climate, the day-to-day changes in temperature might be minimal and consistent throughout the year. \n", "- Then, the autocorrelation would be relatively constant. \n", "- E.g., the correlation between today's temperature and tomorrow's temperature is roughly the same as the correlation between the temperature 30 days ago and 29 days ago." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "**Example: time-varying autocorrelation**\n", "\n", "- Time series representing the daily stock prices of a particular company. \n", "- Stock prices can be influenced by market trends, company performance, economic indicators, world events, etc... \n", "- Here, the autocorrelation might be time-dependent. \n", "- E.g., during a period of market stability, the stock prices might show a consistent pattern over time (e.g., a steady increase). \n", "- However, during a market upheaval or a significant company event (like a product launch or a scandal), the pattern could change dramatically. " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "#### Constant vs non-constant autocorrelation\n", "\n", "- Consider two time series $X$ and $Y$.\n", " - In $X$ the autocorrelation is constant over time.\n", " - In $Y$ the autocorrelation changes after 100 steps.\n", "- We will use an AR process for this example (more details on AR later on).\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 1000x350 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ar1 = np.array([1, -0.8]) \n", "ma1 = np.array([1])\n", "AR_object1 = ArmaProcess(ar1, ma1)\n", "constant_autocorr_ts = AR_object1.generate_sample(nsample=200)\n", "\n", "run_sequence_plot(time, constant_autocorr_ts, \n", " title=\"Time series with constant autocorrelation ($X$)\");" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 1000x350 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ar2 = np.array([1, -0.9]) \n", "AR_object2 = ArmaProcess(ar2, ma1)\n", "ar3 = np.array([1, 0.3]) \n", "AR_object3 = ArmaProcess(ar3, ma1)\n", "\n", "time_dependent_autocorr_ts_1 = AR_object2.generate_sample(nsample=100)\n", "time_dependent_autocorr_ts_2 = AR_object3.generate_sample(nsample=100)\n", "time_dependent_autocorr_ts = np.concatenate([time_dependent_autocorr_ts_1, \n", " time_dependent_autocorr_ts_2])\n", "\n", "run_sequence_plot(time, time_dependent_autocorr_ts, \n", " title=\"Time series with time-dependent autocorrelation ($Y$)\");" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- Notice how the first half of $Y$ shows a *stronger autocorrelation*.\n", "- Each value is heavily influenced by its immediate predecessor, leading to a smooth and predictable pattern.\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- The second part is characterized by a *weaker autocorrelation*.\n", "- The time series is more erratic and less influenced by its past values." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Common stationary and nonstationary time series" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "- If the analytic expression of the time series is known, it is possible to check the conditions for stationarity. \n", "- In practice, the process generating the time series might be unknown and we'll need other tools to check stationarity.\n", "- Starting the analysis by looking at the `run_sequence_plot` is an excellent starting point. " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "#### White noise\n", "\n", "- We already looked at this time series and conclude that mean and variance are constant and there is no seasonal component.\n", "- In addition, since the value of each time step is drawn independently, there is no correlation." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 1000x350 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run_sequence_plot(time, stationary, title=\"White noise\");" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "#### Random walk\n", "\n", "- The random walk is one of the most important **nonstationary** time series.\n", "- It is defined as:\n", "\n", "$$X(t) = X(t-1) + \\epsilon_t$$\n", "\n", "- where $\\epsilon_t$ are called *innovations* and are iid, e.g., $\\epsilon_t \\sim \\mathcal{N}(0,\\sigma^2)$.\n", "- Let's create a random walk." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "outputs": [], "source": [ "# seed to start series\n", "seed = 3.14\n", "\n", "# Random Walk\n", "rand_walk = np.empty_like(time, dtype='float')\n", "for t in time:\n", " rand_walk[t] = seed + np.random.normal(loc=0, scale=2.5, size=1)[0]\n", " seed = rand_walk[t]" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 1000x350 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run_sequence_plot(time, rand_walk, title=\"Random Walk\");" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" }, "tags": [] }, "source": [ "- Notice how the current value is highly correlated with the past values and fluctuates much less than the white noise.\n", "- The random walk is nonstationary.\n", "- Why 🤔?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "**Dependence on Initial Value** \n", "\n", "- The value of the series at any point in time depends on its initial value and the sum of all previous *innovations*. \n", "- Clearly, this path dependence denotes nonstationarity." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" }, "tags": [] }, "source": [ "**Changing variance** \n", "\n", "- In a random walk, the variance changes over time. \n", "- This violates condition #2 of weak stationarity.\n", "- In particular, the variance *increases* linearly as time progresses because the effects of the innovations accumulate. \n", "- Let's see this in detail." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "1. We start at $t = 0$ and we let $X(0) = 0$ for simplicity." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "2. At $t = 1$ we have:\n", " - $X(1) = X(0) + \\epsilon_1$.\n", " - Variance: $\\text{Var}(X(1)) = \\text{Var}(\\epsilon_1) = \\sigma^2$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "3. At $t = 2$ we have:\n", " - $X(2) = X(1) + \\epsilon_2 = X(0) + \\epsilon_1 + \\epsilon_2$.\n", " - Since $\\epsilon_1$ and $\\epsilon_2$ are independent we get :\n", " \n", " $$\\text{Var}(X(2)) = \\text{Var}(\\epsilon_1 + \\epsilon_2) = \\text{Var}(\\epsilon_1) + \\text{Var}(\\epsilon_2) = \\sigma^2 + \\sigma^2 = 2\\sigma^2$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "4. At a general time $t$ we have:\n", " - $X(t) = X(t-1) + \\epsilon_t = X(0) + \\epsilon_1 + \\epsilon_2 + \\ldots + \\epsilon_t$.\n", " - Again, using the independence of the $\\epsilon$ terms and the fact that each has variance $\\sigma^2$ we get: \n", " \n", " $$\\text{Var}(X(t)) = \\text{Var}(\\epsilon_1) + \\text{Var}(\\epsilon_2) + \\ldots + \\text{Var}(\\epsilon_t) = t\\sigma^2$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "#### Time series with trend\n", "\n", "- Consider the following data." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "trend = (time * 2.75) + stationary" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 1000x350 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run_sequence_plot(time, trend, title=\"Nonstationary data with trend\");" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" }, "tags": [] }, "source": [ "- Is this data stationary?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" }, "tags": [] }, "source": [ "- No, the mean changes over time and violates condition #1." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "#### Heteroscedastic time series" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "level_1 = np.random.normal(loc=0, scale=1.0, size = 100)\n", "level_2 = np.random.normal(loc=0, scale=10.0, size = 100)\n", "heteroscedasticity = np.append(level_1, level_2)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 1000x350 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run_sequence_plot(time, heteroscedasticity, title=\"Heteroscedastic time series\");" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" }, "tags": [] }, "source": [ "- Is this data stationary?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" }, "tags": [] }, "source": [ "- No, the variance changes over time." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "#### Time series with seasonality" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "slideshow": { "slide_type": "-" }, "tags": [] }, "outputs": [], "source": [ "seasonality = 20 + np.sin(2*np.pi*time/12)*20" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "scrolled": true, "slideshow": { "slide_type": "fragment" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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xxx+ro0KTJk3CT37yE9x11104cuQILr74YhQXF6O9vR1bt25VR4cKCgpw9tln48EHH0RZWRkmTZqELVu24Mknn0RRUVFQvvH4uXHjRlx//fW49NJL8e1vfxtDQ0N48MEH0dfXhwceeCDhv3X58uWw2+249tprceedd2JwcBCPP/74mCl88TJ16lTk5OTgD3/4A2bOnAmHw4GampqgHe1uu+02rFq1ChaLRZ3OSRAEoScUKBEEQQjGV77yFUycOBEbN27Et7/9bbjdblRUVODUU09Vt9iOxLnnnosXXngB//mf/wmXy4WqqiosX74cd999N2w2GwBg1qxZ2LlzJ/7lX/4FP/7xj9HR0YGioiJMmzZNXaeUDOeeey62bt2Ke++9F7fffjt6e3tRWlqKWbNm4ctf/rJ63XnnnYdXXnkF//7v/w6v14sJEybghhtuwF133RUzjwULFqCsrAxdXV1BI0csUFqwYMGY9TXheOSRR3DLLbfgmmuugdfrHbORQjJUVVVh6tSp+MUvfoHm5mZYLBZMmTIF//Zv/4bvfve76nXr1q3DrFmz8Mgjj6hbdVdVVWHJkiW46aab1OueffZZ3HbbbbjzzjsxMjKCs846C5s2bVK3z2bE4+d1112HvLw83H///Vi1ahUyMjJwxhln4K233lK3VU+EGTNm4IUXXsCPf/xjrFy5EqWlpbjuuuuwdu1arFixIuH0cnNz8Zvf/AYbNmzAhRdeCJ/Ph3vuuQfr169Xr7nyyiuRlZWFc889Vw36CYIg9MSiKP93Ih9BEARBEISg/O///i8uv/xyvPrqqykF9ARBEPFCgRJBEARBEMKyf/9+HD16FLfddhvy8vKwc+fOuDYYIQiCSBXaHpwgCIIgCGG5+eabcfnll6O4uBj/9V//RUESQRCGQSNKBEEQBEEQBEEQIdCIEkEQBEEQBEEQRAgUKBEEQRAEQRAEQYRAgRJBEARBEARBEEQIaX+OUiAQQEtLC/Lz82kBKEEQBEEQBEGMYxRFgdvtRk1NDazW6GNGaR8otbS0oK6uzmwZBEEQBEEQBEEIQnNzM2pra6Nek/aBUn5+PoBRMwoKCkzVEggE0NnZifLy8pgRLJEc5LG+kL/6Qx7rC/mrP+SxvpC/+kMe64vZ/rpcLtTV1akxQjTSPlBi0+0KCgqECJQGBwdRUFBAFU8nyGN9IX/1hzzWF/JXf8hjfSF/9Yc81hdR/I1nSQ59+wRBEARBEARBECFQoEQQBEEQBEEQBBECBUoEQRAEQRAEQRAhUKBEEARBEARBEAQRAgVKBEEQBEEQBEEQIQgTKN1///2wWCy4/fbb1c8URcH69etRU1ODnJwcLFu2DPv27TNPJEEQBEEQBEEQ4wIhAqVt27bhV7/6FebNmxf0+caNG/HQQw/h0UcfxbZt21BVVYXly5fD7XabpJQgCIIgCIIgiPGA6YGSx+PB9ddfj1//+tcoLi5WP1cUBQ8//DDuuusurFy5EnPmzMEzzzwDr9eLZ5991kTFBEEQBEEQBEGkO6YfOHvLLbfgC1/4Ai644AL89Kc/VT9vbGxEW1sbLrzwQvWzrKwsnHPOOXjvvffw7W9/O2x6Q0NDGBoaUn92uVwARg+3CgQCOv0V8REIBKAoSlw6/vCHP6Curg5nn322AcqS58iRI/if//kf3HLLLbDb7WbLierxM888g2nTpuHMM880QVn8HDp0CH/5y19wyy23IDPT9CoaBO+voij4zW9+gzlz5uD00083W1pUDhw4gE2bNuHmm29GRkaG2XIioigKfvWrX2HKlCk4//zzzZYTlb179+Ltt9/GTTfdJPSBjIqi4Je//CWWLl2KU089NaHnsNHs3r0b77//Pm666aa4DkI0i0AggF/+8pc4++yzMWfOnLC/F8XjHTt2YMeOHfjmN78ptKd+vx+/+MUvsHz5csyYMSPqtWb7++GHH2Lfvn342te+JrSnIyMjeOyxx3DJJZdg2rRpCd1rtMfvvfceDh06hNWrVxuSX7IMDw/jsccew5VXXonJkycnnY7ZZTiRfE1thT333HPYuXMntm3bNuZ3bW1tAIDKysqgzysrK3H06NGIad5///3YsGHDmM87OzsxODiYouLUCAQCcDqdUBQlasNi//79uOGGG1BcXIy9e/cK3Qi55ZZb8Pe//x0+nw9r1qwxW05Ej3ft2oUbb7wRlZWV2LVrl9AP929961t4++23oSgKrrvuOrPlBMH7++GHH+Jb3/oW6urqsHXrVrOlReXrX/86PvjgA2RmZuKLX/yi2XIismXLFtx8882YMmUK3nnnHaHr/po1a7Br1y5kZ2fj0ksvNVtORP7+97/j1ltvxezZs/H666/H/Rw2g69+9avYv38/CgoKsHz5crPlROTPf/4zvvvd72LhwoV49dVXx/xeJI+vvfZaHD58GCUlJUJ3PP73f/83br/9dixduhQvvvhi1GvN9vfLX/4yjh8/jrKyMpxxxhmG5x8vf/jDH3DHHXfgf/7nf/Dcc88ldK+RHiuKgquvvhrt7e2oqqrCggULdM0vFZ566in86Ec/wqZNm/D0008nnY7ZZTiRJTymBUrNzc247bbb8Pe//x3Z2dkRrwtt0CqKErWRu27dOqxdu1b92eVyoa6uDuXl5SgoKEhdeAoEAgFYLBaUl5dHLRgvvPACAKC3txc9PT2YNWuWURITQlEUbN++HQDw0UcfoaKiwmRFkT3ev38/AKC9vR39/f2YMmWKWRKj4vf7sXPnTgDAxx9/HLS5iQjw/jJPm5ub4fP5MGHCBJPVhWd4eBi7du0CAOzZswff+c53TFYUGbZZzZEjR2C1WoWoU+Hwer34+OOPAYyOLN14440mK4rM3r17AYw+A7Kzs+FwOOJ6DhuN0+nEJ598AmBU8/XXX2+yosjs2bMHwOgzKj8/Hzk5OUG/j/ddpzednZ04fPgwgNG6dfXVV5umJRbM0127dqG4uBg2my3itWb6e/z4cRw/fhzAaJ26/PLLDc0/EdgzaseOHSgtLU1oNoGRHh8+fBjt7e0AgE8++QQXXXSRrvmlwkcffQQA2L59O8rLy5PudDb7GREt7gjFtEBpx44d6OjowKJFi9TP/H4/3n77bTz66KM4ePAggNGRperqavWajo6OMaNMPFlZWcjKyhrzudVqFeKlaLFYYmrhe+e3bdsWdmqDCBw6dAg9PT0ARjWL4C8Q3uNQT0855RQzpMVk37598Hg8AMTylIf5G+ppXV2diaois3fvXnU6rqieMnhPt2/fLuxIze7du+H3+wHI46miKNixYwfOPffcuJ7DRrNjxw4oigJAHk9HRkawe/dunHXWWWOuEcFj1pEHyOPp4OAg9u7dG9Q2CodZ/vIzgGTx1OPx4ODBgwm3pYzyWEZPu7u70djYmFJbysxnRCJ5mvZtnH/++dizZw92796t/lu8eDGuv/567N69G1OmTEFVVRU2bdqk3jM8PIwtW7YIv8YkVT788MOw/y8avLYjR46gs7PTRDXRkdHTAwcOwOl0mqgmMmzqHUMWTz/++GN4vV4T1URGUZSgQEnk6Yy8pzt37sTw8LCJaiLj9/uDGsuylNPt27ergahoDA0NqSO0gDyefvjhh2ogKhper1cdUQLIUy3o6+vDgQMH1J9l8lRUOjs70djYqP4sslYtMS1Qys/Px5w5c4L+5eXlobS0FHPmzFHPVLrvvvvw0ksvYe/evVizZg1yc3OFW7ehJb29vepoGiB2QQzVJqrWtra2oHVtH3zwgYlqosN7qChK2PV7InDs2DF1qgAg7ncPBH/f/NRG0Th06BB6e3vVn2Upp0NDQ+p0DNHYt28f+vv71Z9FLqe8No/Ho05tFY2PPvooaMMkWTzt7e3FoUOHTFQTmR07dgQFxrLU/ba2NjQ3N5uoJjKh706Ryyn/fTc1NQW9W0Ui1EORy6mWiDu+B+DOO+/E7bffjptvvhmLFy/GiRMn8Pe//x35+flmS9MN1otcUlICYLQHnH/RiwSrJEyrqA8ipovp3LVrV9CLXiRCPRX1QRSqc9u2bRgZGTFTUkRCv3+ZPBVh17BwyFL3w9UnEXvAFUWRpu7LUp8CgcAYrbKUU1F1joyMqCO0on//stSnoaEh7N69G4D4378s5VRrhAqUNm/ejIcfflj92WKxYP369WhtbcXg4CC2bNki7HodrWAFb8WKFaipqUEgEMCOHTtMVjWWwcFBtRf5m9/8JgBxKw3TdeWVV6KsrAzDw8NC9oC73W51Mf83vvENAOJ6ygL6L3/5y8jPz4fX61W1i0RPT4/ai/z1r38dgLieMl3XXXcdsrOz0dfXJ2QPeGtrK5qbm2GxWNRNHET3dPXq1cjMzERHR0fUXVPNoqmpCZ2dnbDZbLjhhhsAiO/pjTfeCIvFgmPHjqm71IrEp59+CqfTiezsbHVjDNE9Zc/9Tz/9NGh0WRT27t0Lr9eLgoICfOlLXwIgvqesfcKv/xWJ3bt3Y3h4GGVlZbjiiisAyOPp7t27Td9N2giECpSIkwXxjDPOULfdFLHS7Nq1Cz6fDxUVFVi1ahWA0caziD3gvKfsvB8RPd2+fTsURcHEiRNx1VVXARB3DjgLlM4880ycdtppAMT0lOlsaGjAJZdcAkBMncBJXWeddRbmzp0b9JlIME1z5szBBRdcEPSZaDBdy5Ytw6mnnhr0mUgwTaeeeiqWLVsW9JloMF3Lly/H7Nmzgz4TCaZp8eLF6mYTIuoETuriz/sRcY0i03naaaepa8VF9JRfQ3vVVVehrq4OgUAgaL2iKMjS5gsEAmqZXLVqFcrLy+Hz+dTRsHSGAiWB4Cv36aefLnSjntc5d+5c5OTkwOl0Bq2vEgG/36/OVeY9FXEYnvf01FNPhc1mQ2dnJ5qamswVFoLP51PX+YheTtn3fPrpp2Px4sWwWq1obm5Ga2urycqCGRgYUEc5Tz/9dCxcuBCA+OWUBcmHDh1Cd3e3mbLG4HK51HU+fDkVuQHK69y3b19CZ30YQVdXFz777DMAo41lket+OE93796NgYEBM2WNoaWlBcePH4fVasWiRYukeUcxnTt27IDP5zNT1hgaGxvR1dUFu92OU089Vehyyr+jmE4Rp10fPHgQLpcLubm5mDt3rtDlVGsoUBKIw4cPo7u7G1lZWZg/f77QlZt/YGZmZmLx4sVBn4vCgQMH4Ha7kZeXh9mzZ0vjaXZ2trA94Pv378fg4CCKi4sxbdo0aTx1OBzC9oDv2rULIyMjqKysxMSJE9WtgUXTCQR7WlxcjIaGBgDiBSBshLa+vh6VlZXSBEpVVVWYOHFi0Dl1osC8mz59OoqKiqSp+6wMjIyMBO3YJwL8CK3D4ZDG02nTpqGoqAiDg4NBO/aJAD9Cm5WVJY2ns2fPRm5uLlwuV9COfSLAdC5atAiZmZlCj35pDQVKAsEK3IIFC2C327Fo0SJYrVYcP34cJ06cMFldMHwvCP9f0SoN07l48WJkZGSoPeCHDx9GV1eXmdKC4Bdzh3oqWo8NG0067bTTYLFYVJ379++Hy+UyU1oQ/HbbonvKf/cWi0U9mf3jjz8Wqgc8dISW/6+odT9U544dO4Taznx4eDhohJb/r2jllG/U8f/dunWrUNuZe73eoBFa/jklSzndunWrUNOu+QORTz/9dFitVvV9Klo5jfYuFcnTzs5OHDlyBACwZMmSoE5nWTwVrT7pAQVKAhH6EnI4HOrmFSIVxo6ODjQ1NcFisWDJkiUAxK00oZ4WFRVh+vTpAMTqWW5ubkZbWxsyMjLUaVeiehraqKusrER9fb1w25l/9tln6OnpQVZWFubNmwdAXE9Dy+mECRNQVVWFkZERobYz379/PzweDxwOB2bNmgVAHk+nTZuG4uJiDA0NCbX1Nttuu6SkRD28URZPZ8+ejby8PHg8HrURLQI7d+6E3+9HVVWVehC2LJ7Onz8fWVlZ6O7uxuHDh82UFsS2bdugKAomTZqEiooKAPJ4umjRImRkZKC1tRXHjx83U1oQrA0yY8YMFBUVAZDH0yVLlsBisaCxsREdHR1mStMdCpQEgkXsbEiT/3+RKg3TMnPmTBQWFgI4WXlEO9CTXyjJYP8vUo8N0zl//nzk5uYCOKlz165dQvWAs6kropdT9v0uWrQIdrsdwEmdoh3oGVpOLRaLkL21TOeSJUuQkZEBIPi7F6W3ll/vyXvKnlMiTb/iGyAWiwWAmJ7y220zfRkZGWpnmUh1n9fJPBVxlI4/EJl5arfbhVyjGO1dKtJ3zx+IzPTl5uaqnWUiaZWlzccfiMz0FRYWYsaMGQDE0qoHFCgJwuDgoLp7CHug8/8vUkEM7VkAgNraWlRXV8Pv9wuznbnH48HevXsByOnp1KlTUVpaKtSBnr29vWovJ2vIA/J4OnPmTDgcDqEO9Gxvb8fRo0dhsVjUaReAPJ7OmzcP2dnZQh3oyQ5EzszMVKcxAid1izRKF87ThQsXIjMzU6gDPQ8dOoS+vj5kZ2eruzIC8pRT1gN+9OhRYQ70ZAci5+fnq41OQB5P2Tvg4MGDwmxn/tFHH6nbbU+ZMkX9XBZP2f/v2bNHmDM02YHINTU1qK2tVT8X0VM9oEBJEHbv3g2fz4fy8nJMmjRJ/ZwVxO3btwtzoGe4yi3iHPAdO3YgEAigtrYWNTU16uf8HHBRdpaJ5KloW2+zqQKnnHIKSktL1c/5716UHvBwnorYA850zJo1CwUFBernon33QHhPbTab2gMuilZ+hDYnJ0f9XPQRJUZOTo5wPeD8Ym6bzaZ+LtpzHwjvaUFBAWbOnBn0e7MJN0ILiOdp6I68jLKyMkydOhUAhJl2zW9hzkYTAfE85bfb5j2dMGECJkyYINQZmuG+e/5nUTzVCwqUBCF0MTdjxowZyM/PR39/vxAHekaq3PzPokwXCF18yJg7d656oOenn35qhrQgfD6fOv1CdE/5lxDPggULkJmZqY6OmM3AwEDYEVr+Z1E8jVROFy9erB7oKcJ25m63O+wILf+z6J7ym7n09PQYriuU7u5udRQutE7J4in7ee/evUIc6Nna2opjx46NGaEF5PNUlAM9m5qa0NHRAZvNFjRCC8jn6fbt24XYzvzgwYNwOp3IyckJGqEF5PNUpE5nPaBASRBYbww/VxVA0E5tImw+wO+lzzaaYDDtIugEIntqs9nUF6gIWvft24fBwUEUFRWpWy0zZPE0JydH3c5cBK0fffSRut12fX190O9E85TpCPW0oKBA3c5cBK07d+5UD0Surq4O+p1onkYqp6WlpeqBniL0gLMOkoaGBpSUlAT9ThZPa2pq1AM9RegBZ37NmTMH+fn5Qb+TxVO2YYIoB3oynaeeeiqys7ODfieLp9OnT0dhYSEGBgaE6HRmOhcvXozMzMyg34nmaaR3FDtD0+VyCXeGppZQoCQIx44dA4AxDWUA6i5t7BozYRqmTp06pnIznSdOnBBioXw8noow/5/pnDZtGqzW4CrJ6xRhShvzizU2eUT0tKGhIWiEFhCrPgHylVPRdQLRtbLPRNCaLp6KVKfSwVOLxSKUVlk8VRQlolar1Spd3RehPvn9fnWnwFCtmZmZ6k6dIniqFxQoCQI706e8vHzM78rKyoKuMZNoOtmalUAggL6+PiNlhSUdPGU6BwcHhdhNMJ08dTqdQkzBSCdPu7q6hAjo49Ha3d1tqKZwyPLdBwIB1S/Rtcriqc/ng9PpBCC+Vlk87e/vx9DQEADxtcriaW9vr/pMZ7p4RNKqFxQoCQIrZKIXxGg67Xa7uhhddK2yeJqXl4esrKyg68xCUZS08LS4uFgdZTK7sTwyMqLuFiWzp6yTxO/3q40/s/B6vWqngsyess/6+/tNP3TY6XSqswT4TVwYsnna29tr+uZI7NljtVrVM3R4ZPNUhE4SpjM7O1s9ZoNHRk/NhmkoLCwM2sSFIZJWvaBASQD8fr+6sFiWShNOJ/+52VqHhobgdrsByO2pxWIRRqvb7VZHYGT2NCMjQ10PYrZWfkOB0DUqgDyeZmdnw+FwBF1nFqwBarPZxqxRAeTxtKCgQG2YmB3QM535+flqxw2PLJ6yOqYoiunbWTOdJSUlQTveMWTxlH02PDxs+mYevM7QKdfsc/46M4nHU7fbrY6QmYUsbT49oUBJAHp7e9UdQ8L11rGh2c7OTkN1hYNpCDdczH9utlZWaTMyMsL21omik9cguqcs/9zc3KAtlxmi6OQ1yOJpSUnJmDV/gDg6eQ2yeFpeXh61sWS2Tl5DOE/5ThKztcry3fMawmm12WwoLi4Ous4s0sXT3NxcdfTGbK3p4mlRUZEaPJsdgMjkqV5QoCQArCIUFRUJP7QpS+9CuvQs8Z+brZXvAQ2HKDp5DbJ4KrpOXoPoWuPVafYoDZB+npqtk9cgulZZdPIaRNcqi05eQzitVqtV7TQ3W6tMnuoFBUoCkEhBFGUOsOiVRhadvAbRtVKgpD2y6OQ1iK5VFp28BtG1yqKT1yC6Vll08hpE1yqLTl6D6Fpl0aknFCgJQLwFUYSF0rJUmnh1irBQWjZPYwVKPT09pm8PL5un1EmiHbLo5DWIrlUWnbE2nOE/N1urLDpjbTjDf262Vlk8jbXhDP+52Vpl8VRPKFASgFgFUaSF0iz/WPNVRdfJL5Q2W6ssc4BZ/uHW0fGfK4oStEmB0cTTWJKlnLLPzV4oHWt7aECcF2a89cnlcpm6UJrfcEb0uh9vferu7lbX25pBrA1nAHHqfqxyKkp96unpgaIosFgsETvJRCmnsrxLY204A4hTTmVp8+kJBUoCEKtyA2IsQA4EAnH3Lpj9IIqlU5Td5PizNETvsYk1opSZmakulDZTa39/PwYHBwHEboSYXU5Z/pG+e37jDDO1xtpwBhCnERKr7hcWFqoLpc1cp8RvOFNYWBj2GlHqfqx3FH+Gnpm7yfEbzoTbHhoQp+7HG3wODAygv7/fMF2hMJ3FxcVhN5wBxCmn8bZP+vr6TD1DL9aGM4A45TTWO0qkWQ96YWqg9Pjjj2PevHkoKChAQUEBli5dir/+9a/q79esWQOLxRL074wzzjBRsT7Eqtz878x8EMU6SwMQQyefv+iexjpLAxBDJ59/pEAJEEMryzvSWRqAGDr5/EUvpyzvSGdpAGLo5POP5KnVahUioOd1xmosie6pKGfoyVKf+PwjaRXlDL108pQ/Q8/MWQ/p5ClrC46MjJi+NEQvTA2Uamtr8cADD2D79u3Yvn07zjvvPFxxxRXYt2+fes3FF1+M1tZW9d9f/vIXExXrgyyVhuXtcDiQnZ0d9hoRdPL5y+JppLM0ADF08vnLEiilQwOU/50onkZCBJ18/tG0inCOVrp5KoJWWXTy+Ys+6yGdPBXlDL108jQnJwd5eXlB16YbpgZKl112GS655BI0NDSgoaEB9957LxwOBz744AP1mqysLFRVVan/ojXSZEWWSiOLTuDkSI3oWmXyVMZAKRIi6OTzF12rLDr5/ClQ0g5ZtMqik89fdK2y6OTzF12rLDr5/GXQqhfhJ5yagN/vx5/+9Cf09/dj6dKl6uebN29GRUUFioqKcM455+Dee+9FRUVFxHSGhoaCFui6XC4Ao3OnzVxkyjQoijJGB98AjaSRn69q1t/R0dEBYHRebSQNbBjW5XJhcHAQdrvdMH3ASY+Z1tLS0phaOzo6TPO0vb0dQHyednd3Y2RkBFarOf0b/GYOscqpmZ4m8t13dXWZ+lxgdZ/XGvqcEKHus3JaVlYWUQMffJjpaaxyGggEhKj7rJxG85TpNPO7BxJ7RzFPw73r9IZfTyFy3VcUJaXnqZH+ylJO+Q1nonlaXl6OgwcPor29PapWPT2O57sXoZzyG87E8vTo0aMJPU/Nekbw+ceL6YHSnj17sHTpUgwODsLhcOCll17CrFmzAAArVqzAl770JdTX16OxsRF33303zjvvPOzYsUOduxvK/fffjw0bNoz5vLOzU13gbRaBQABOpxOKogQ1dtva2gCMLoZnD6VQ2FS35ubmiNfozZEjRwAA+fn5ETUEAgFYrVYEAgEcOHAAVVVVRkpUPWYPIqvVGlErW79ipqdNTU0ARqczRtLA1oX5/X4cOnRIXV9hNMxTVk7DBWzM02PHjpnmaWNjI4DRnQ0jaWCLTgcGBtDU1BRxLZPeMH0Wi0X9/9DnBNPW1NRkmqdHjx4FEL2cMnp7e3HixImIa5n0hN/xEEBYrYFAQJ0qwl7uZsA8zcvLi6mhq6sL7e3tEaeS6onP50NfX5/6cyStbGdWVk7Dvev0hnmam5sbUSfzsKOjw7Tv3uv1qu0RvmMvFLYjWmNjY9A1kdoSenDs2DEA0T1lGsz0tKenR238+v3+mOU01NNQ9PQ4EU/b29tN87S1tRXA6JTFoaGhmOX0yJEjcWs1sgyHgwWA8WB6oDR9+nTs3r0bfX19eOGFF7B69Wps2bIFs2bNwqpVq9Tr5syZg8WLF6O+vh6vvvoqVq5cGTa9devWYe3aterPLpcLdXV1KC8vVxebmkUgEIDFYkF5eXlQwWC7BE2bNi3iaFl9fT0AwOPxRB1R05Ph4WEAQE1NTVQNpaWlaqPaaK3sQckWajY0NMT0tL+/3zRP2ejnhAkTomooKCiAy+WCxWIxRevIyIjaWJo0aRIqKirCPtwmTpwIYLQhILKn5eXlsNvtGB4eNs1Tr9ernuE1ffp0deez0OcE83RgYMA0T1mjrra2NqKG0tJSWCwWKIqCzMxMU7T29fWpHQvTp08Pu5YyEAiguroagLmesu++rq4uogbWABkZGUF2dnbE3fH0hHXkWa1WTJs2LeJaytraWgCjZaWioiLsu05v2Nk0EydOjOgpm+Xg9XqRn5+v7ippJCygy8rKwqRJkyIGwBMmTAAw+kzj/55IbQk9iMdT1vHU19eH0tLSiGVET1g7qrCwUPUtHOx3w8PDUeu+nh6zXQzr6+sjamhoaAAw2paJtjuenrBAqbS0NGqnd01NDYDYnvIYWYbDEWmdfThMD5TsdjtOOeUUAMDixYuxbds2PPLII3jiiSfGXFtdXY36+nocOnQoYnpZWVlhR5usVqtpU5Z4LBZLkBZ+aDNS45P9DhidfmXW38GfoxJNQ1lZGTo7O9HT02OKVq/XqwZ10Tzlz/6QwVOXy2Wap6znBxjdOShSfZLN05aWFvT09GDy5MlGyVNhL3abzYaioqKgFyH/nJDFU6vVipKSEnR3d6Onp0cNRoyEdZA4HI6oo4RsmqDonubl5SEvLw/9/f3o6ekxZTSZeVpSUhJ1lDC0nIa+64wgHk/ZNtfsIFU2umgkzNOysrKoQUW0um+Uv/F4yqYIKooCp9MZdT2LXvCeRvMkkeepXh7H4ylr8w0PD6tBvdHo4SmPGc8IRiJ5mh85hKAoSsRDALu7u9Hc3GzKC1gvWIWJdpYGIMahXrEOHmOYrZV5Gu0sDUCMcwriOUOL/71ZWlm+JSUlEc/SAMzXCcS3+BQwv5zGszsfYL5OIP5yavai3nh18msqzEKWui9LfeLzjuapCLvJyVKfgPi02mw2NYg3+x0len0C4qtTeXl56min2e8o0dt8emNqoPSjH/0I77zzDpqamrBnzx7cdddd2Lx5M66//np4PB7ccccdeP/999HU1ITNmzfjsssuQ1lZGa666iozZWsKv5g7Vu83f70ZxPvCNFsr3wsSDbN18nmLrlUWnXzeomuVRSeft+ha49Upy653/O9F99RsnXzeomuVRSeft+haZdHJ5y26Vll06o2pU+/a29vx1a9+Fa2trSgsLMS8efPwt7/9DcuXL8fAwAD27NmD3/72t+jr60N1dTXOPfdcPP/886YMQepFoj1Lvb298Pl8piyUjnVCM8PskZp4AyW+F0RRFFPmAMvyIJJFJ5B4nTK7B1T0+gQkPqog+ugHBUrxI0t94vMWvU7JUp+AxMrpoUOH6B0VA37DmXjqVHNzM72jTMbUQOnJJ5+M+LucnBy89tprBqoxh3grNztRWlEU9PT0oLKy0gh5QcjyIIrnDCUg+ERpl8tlykJpWTzlRz6jwXR6PB4MDg4mtGBSK2TzNF6dPT098Pv9piyUTjdP+UDJjE4SvrGULp6arZOtOeK1RMJsrbJ4OjAwoG48ILpWWTx1Op0YGRkBEP/7lDw1F+HWKI034i2ImZmZ6hxgqjTRiXdESYQTpWXxNF6dhYWF6homFrAaCX+WRrp4yl6miqKoDUEjGR4eVs+jSzdPh4aG1IagkXg8HnXDmXTxlP3e5XKpf5uR9Pb2qhvOxDqYXjZPu7u7TTlvhj1LbTZbzF2DZfPUbJ0OhyNmR6IoWkX3VG8oUDKZeAsiYO6COf4sDdEX9vE7ysTCzCHj/v5+dYtg0Regxjv9hl8obYbWvr4+tUERq7fO7HIa7/QLtisef4+RsDwzMjJUHZEw+4UZbznNzc1VF0qbUU5ZnrE2nAHMr/uJzHpg62zN6CRhOouLi2NOTTe77ie66Yjf74fT6dRdVyj81KtYo65ml9NEN3Pwer3q1udGIkubj883Xk97e3vV0bJ0ggIlk0mk0pjZCGGjNBaLJeYWtWY3luIdUeKvMbMBmpWVFXOLWrM9laWcsjwLCgrU81IiQZ7GR7wbzgDkabzIopPPN5ZWq9WqNuzJ0+jEqzUrK0tdk02eRiderQ6HQ303kKfRSXRpCHCy/ZVOUKBkMvH2ggDmjn7w20PHWiNh9sK+RAIlM3ts+IdQrN46UR6YsUZpAHO1ylKf+HwTeWGaoTWZHlDRRz/4a8yu+7Ewu+7LUqdkqU+APHVKpnIar1azt4eXpT7x+SayNCQdN3SgQMlkZHkQJauTzRk3EtlGlETXyecrulZZdPL5iq5VFp18vvFopdGP+JBFqyw6+XxF1yqLTj5f0bXKojORDWf4a9JxnRIFSiYjy3zVeOeq8teYtVBaljVKifQssWucTqcpC6WT0Sp6Dyh/mrgZC6WTqVOy9IDKMPphZjmVRSeQfJ0yGlnqE7/hjOh1SpZyOjQ0pG44I7pWWdp8/IYzotcpvaFAyWRkidgT0Zmbm6vu5mLmeqp08rSoqEiIhdLp5KmZC6Vl6q1LRqcZC6X5DWfS0VMzFkp7vV51w5l09NSMWQ99fX3w+/0AxJ/KLMszir0TMzIy4jrmgzyNDcszJycn5oYzgPmdZHpCgZKJpGtjycw5wH6/Py0bS2YulE7kLA3+GtE9NXOhtMvlivssDUAeT/Pz89Udx4wO6BPZcAaQx1MzF0oznXa7HQ6HI+b1snjK6pzP54Pb7dZVVyiJbDgDyOMpu4adoWckiWw4A8jnKTtDz0gS0clfR4ESoSkejwdDQ0MA5JkmlmilMVprImdpAGJMZxT9QcQavJmZmTHP0gDkmSoCmFdOWX55eXnqNtXRkGUzB4vFYtq0FqYzng1nAHnWKJl5hh5fn+I5lFeWdxS/LbtZ5TTe574s08QKCwvVemd0J4ks71IgsXcUe0YFAgHDz9CTpc1nBBQomYhMQ5uyPIhYfkVFRTHP0gDI03jgdSbSWCJPIyOLTj5P0bXKopPPU3Stsujk8xRdqyw6+TxFn0mSrp7abDZ1KiF5ah4UKJlIsj1Lom/mwF9nZg9oPIjQA5qop2aNfoiuE5CnTslSn4Dk65TodV+WzRz462QZ/RB9Mwf+OtHLqSyjH/x19I6KDL2j5IMCJRNJNmI3Y6G0LL0Lyeo0Y6F0untqxkLp8eCp0ciiVRadfJ6ia5VFJ5+n6Fpl0ZnoGmr+OvI0PCMjI+oUOtG1yuKpEVCgZCKJFkQzF0rLUmn4RZ3xwK9jMmuhtCyexqtThIXS6eYpu87tdqvrGo1gPDSWjF4o7ff7E9qZk79OFk+N7iQZHByEx+MJ0hALGT01kkQ3nAHI01jwG87Es4YaIE9FgAIlE0l0uJifA2zW0LboC/tYABmvzszMTPWBZWQF58/SEP1BlOgDk18obaTW4eFhdZtv0adeJlqf+IXSRnra39+vBmaiLz5PNqAPBALqTplGkOiGM4A80xmZzsHBQUNnPTBf4t0eGjCv7ic79aqvrw8+n083XaEwnfFuOAPI844yK6BnZS3eDWcAed5RtJkDoQuJVm7+WiMfRImepcFfZ9aLPRlPjazgiZ6lAcjzwOSvNVIrCzytViuKioriukeWF7tZ28Oz7y87OzuuDWcAeeo+v1DayHLK8op3wxlAnkZ9Xl4esrKyABg7Qp/ohjPsWv5eo0i0nJp1hp4sz30+v0TbJ/xxIkYgS5uPz0+GpSF6Q4GSiSRTacxYMMfystvt6rkzsZBlASJgzoOI5VVQUKA2LGIhk6dmltN4z9IAyNNY8DpFb4DK6Gm8mF1O431H8dvDG9mol9HTeLVmZGSYMushnT016ww9Wdp8fH7xelpQUGDa0hC9oUDJRGTpXZCpty7RNUqA+Z7Gi9meiq5VFp18fqJrlUUnn5/oWmXRyeeXjFazRpTiRUZPqZyGRxatsujk80ukkyRd1ylRoGQislSaVHR2d3cjEAjooiscia774a+VxVOj51WPh3Iq+kuIv5Y8DY8sWmXRyedHgZJ2yKJVFp3JbDjDX0uejiWZDWf4aylQIjRDljnAyeg060RpWR5Eqeg0a6G06J6mUp+MXigtS92ngF57ZNEZCARS7iQzClnqk8/nUzecEV2rLOU0mQ1n+GtleUcZ+d339vaqHdzJzM5Jtw0dTA2UHn/8ccybNw8FBQUoKCjA0qVL8de//lX9vaIoWL9+PWpqapCTk4Nly5Zh3759JirWFlnmACej0263m3KidKK7NPHXmhF8JqIzLy8P2dnZQffrDd9bJ7qnyegsLi42fKE0f5aG6HU/mXLKXpYjIyNqo1Bv+AXEopfTVJ5R/f396sY6euN0OtUNZ5JZU2HGiFIynhp5hh7TabVaUVxcHPd9stR9vj4Z1UnCdObk5CAvLy/u+2R5R5nZ5ktkwxkgfQ+dNTVQqq2txQMPPIDt27dj+/btOO+883DFFVeowdDGjRvx0EMP4dFHH8W2bdtQVVWF5cuXG342ix7INLSZTM8Sf71RWpM5S4O/VnRPzZgD7HK51JGWdFz3ZcZCaf4sjUQaS7J4mp2dDYfDEXS/3rB87Ha7mnc8yOIpf4ae0Z7m5+fHveEMIM/UO1bvFUUxbNYDv4Y23g1nAHnKqRln6MnSPuHzSqZ9YuQZejJ5agSmBkqXXXYZLrnkEjQ0NKChoQH33nsvHA4HPvjgAyiKgocffhh33XUXVq5ciTlz5uCZZ56B1+vFs88+a6ZsTejr60tpaFP0ys1fb5RWNiKQyFkaAHkaDZZPImdpAORpNFg+xcXFyMzMjPs+8jQyvM54N5xh1/P3G4EsnSSpfveiB0qZmZlqR4UsnopeTs04Qy/dPeXP0DNq1oNMnhqBMGuU/H4/nnvuOfT392Pp0qVobGxEW1sbLrzwQvWarKwsnHPOOXjvvfdMVKoNrCAVFhYmNLQpS+Xmrzf6gVlSUpKWjSX+enoJjUUWrbLo5PMSXassOvm8RNea7oESf70snlI5HYssOvm8EtFqxhl6MnlqBPF3Z+rEnj17sHTpUgwODsLhcOCll17CrFmz1GCosrIy6PrKykocPXo0YnpDQ0NBw5MulwvA6MJUI3dfC0cgEICiKAgEAujo6AAwWrAS0cVPE/L7/QkFBMnCByCJaGWVu6OjwxDvmaeJ6mSednZ2GlZGZPOUlVO+DEdDRk/b29tN8TSUSB6Tp5FJ5HnK+yuTp6wRYrSnpaWlST1PjdzxNBVPDx06JI2nrJzG+xxOhVQ8PXbsmGGesjVGqXoaih4ep+JpR0eH9J7yGFGGY+UfL6YHStOnT8fu3bvR19eHF154AatXr8aWLVvU34cGAoqiRA0O7r//fmzYsGHM552dnRgcHNROeBIEAgE4nU4oiqIGew6HQ314xgNbdDoyMoKjR4+qw9x6wiq3xWJJSCub197S0pLQfcnCPM3Ly0NHR0fcc8CZp16vFydOnEhohC9Z+B6XRLxhmzkY5emxY8cAnPSUL8PR/GWLwJ1OJ9rb2w0J6PlpCYl4w6YUGuVpc3MzgNFpKuHyi+Qxe7D39fUZohM4OSqgKEpCebLn0okTJwzRevz4cQCj32Ws/Hh/zfCUrYfhO8zigZVTET3lYYv4nU5nQs/hVEjWU1ZOjx8/boinJ06cAJC4p4yenp6EnsPJoigK+vr6AIw+yxPRyjZUaG5uNtTT7OzshPJj76Tu7u6EnsPJ4vP50N/fD2C0zZGMp8eOHTPE05aWFgCjbbhkPO3q6kroOWzEMyKURNbQmR4o2e12nHLKKQCAxYsXY9u2bXjkkUfwgx/8AADQ1taG6upq9fqOjo4xo0w869atw9q1a9WfXS4X6urqUF5ejoKCAp3+ivgIBAJBJ5cDoxF7RUVF3GkoioKMjAz4/X7Y7faE7k0WVrknTpyYUH5VVVUARh8KRuhkFBcXo6KiIu7Kxy+oz87OTmjNWLIwT+vr6xPyhpV9oz1l5ZQvw9H8ZQ0Qv98Ph8OR0G5EycI28kjUU3at3+83xFPWkCwrKwubXySP2f97vV6UlJQktL4pWdjLZNKkSQl5w55xgUDAEE9ZwFNeXh4zP95fFtC7XC6Ul5frHtAriqJ6OnnyZCk8raioSCi/SZMmARitj4k8h5PF5/OpOwFOnjw5qTW/iqIY4ikrb4l6Wl9fD+Ckp/E+h5PF4/Go3/+UKVMSen4z/43ylHV0VlZWJpTfxIkTAYy+ixN5DicL35E3ZcqUhDpk+TJthKdsA6eqqqqkPPV6vQk9h80IlFinczyYHiiFoigKhoaGMHnyZFRVVWHTpk1YsGABAGB4eBhbtmzBz372s4j3Z2Vlhd2hx2q1mvJlhGKxWGC1WtWXZWFhYcK6CgoK0NvbC7fbbcjfxLb45bdSjoeioiIAo40QI3QyTwsKChL6vrOyspCTk4OBgQG43e6Etu5MFlk8ZVNXi4qK1PxYGY6Wf35+vhrQu91u5Ofn66pTURSpPQ0lnMd8QO/xeNRpDnrh8/nULbfTwVMe5i/z1O/3Y3BwUPeA3uPxqI3ldPOUwTz1er0IBAK6B/SsgwRIXKtsnjqdTrXsxvMcThb2Ls3IyIDD4UioA4F5alT7RAtPE3kOJwvzNDc3N6FdJIH08pRHzzIci0TyNDVy+NGPfoR33nkHTU1N2LNnD+666y5s3rwZ119/PSwWC26//Xbcd999eOmll7B3716sWbMGubm5uO6668yUrQmsUZfI7mwMdo8RZ5TwDdBEtRqpk88nmUa5kVr5Bqgsniaq02KxqCO4Rmj1er1qAzRdPbXZbOr0KyO0spclgIRH42XxNC8vT91RygitLI+MjIyEp03L4il/PV+G9ILpzM3NTXjatGyejoyMGHKOFq8z0VFW2Tzt7+835BwtWdp8fD6pvEuNPGxcb0wdUWpvb8dXv/pVtLa2orCwEPPmzcPf/vY3LF++HABw5513YmBgADfffDN6e3tx+umn4+9//7vuvdNGIEulkbEBmswUy8LCQrS1tVEDNIRUy2lvb6/hDdBERwVk83RgYMBQT9O5AcoCelZOa2pq9JCnMh4aoCygZ+U00Z2zEkWWdymfT6JaHQ4HrFaruq4jkWlDyTAePA0N6PUeoR9PnrKA3og19EZgaqD05JNPRv29xWLB+vXrsX79emMEGQhrLKdSaYzorWN5WK3WpBugRujk80llRMlIT1NpgBrtqSzltKCgIOkGqCyetrW1Geqp6N89n08qAT15GkyqWgcGBsjTEJLVygL6vr4+uFyuqOu0tWA8eMoH9EYESuPBUzZNU1EUuFyutAmUzF+0M05JZfTDyClNvM5EG6BG6uTzSSZQMsvTRDHLU9G1yqKTz0d0rbLo5PMRXassOvl8RNcqi04+H9G1yqKTz0d0rbLo5PNJVKvRU+6NggIlk5BlGFYWnXw+oq9RktFT0bXKopPPR3Stsujk8xFdqyw6+XxE1yqLTj4f0bXKopPPR3Stsujk85FBqxFQoGQSshRELXS6XC5DFvalukaJT0NPZPnu+XxE1yqLTj4f0bXKopPPR3Stsujk80lGqxk99enuKZXT8MiiVRadgUBAk2mCFCgRKSNLpdFCZyAQCNrCVS/G04jS4OAghoeHNdUVjvFUTo0O6MeDp9RYCkYWnXw+oq+pkMVTmRqgsng6NDSEoaGhoHwTgTwdi8fjUd+Doms1CgqUTEKWhX2p6MzJyVHP0DB6QX+imLXxQKLwQaDoWtk9opdTPqBnBwHryXio++yegYEB9fBCvWALhwF5ymmqOvUO6IeHhzE4OAhgfJRTI3T29/dr0gCVqZzqDZ9HKmuTqZyehOVhs9mS2l3R6I0njIACJZOQZWFfKjqNXtgn22YOyTwwMzMz1d0H9dbKN0BF71lKpZzm5OQYdpaOz+dTz0FJ57pvZEAvUw+oViP0egf0WjVARS+n7B6v16t7QM90ZmZmJtUAleUdZeQIPdPpcDjUZ3giyPKOkmUDL3Yfn046QIGSCcjYAE1GJ3+fkQ3QdJ56x9+nt1aPx4NAIBCUZyLI4qnFYjFMK59+Oq+ls9ls6tawRnmamZmpHsibCLJ4mpuba1hAz9LPy8tTZwUkgiye8nVQ74Ce15lMA1QWT9k9fr9f94Belncpn0cqnhoZ0MvgqVFQoGQC/f39SR/iyt8jeuXm7zOyAUqBkjaMlwYofx81QE8im6fp3gA1I6AX/bvn85AloE93T80I6NPdU7MC+mSgQInQBFaAMjIykjqQS5bKzd9HDdCTyOZpujdA+fvoxX4SWbTKopPPQ3StqeqUZZoYf5/onspSTimgDw8F9PJCgZIJ8NPuUmmAir4Akb9Pb62y6OTzSGbqFX+fUZ6KrpPPQ/TvXxadfB6ia5WxnIquVavv3u12a6YpErKVU9F18nnIUk5F18nnIfr3r5VOCpSIlEhlUR9/n+gLEPn7jOoFEV0nn4foDyJZdPJ5iP79y6KTz0N0rTKWU9G1yvLd83mIrlUWnXwespRT0XXyeYj+/Wulk3a9I1JCq8rNnyGgF7I8iLTS6Xa71Q0M9GK8eUov9pPIopPPQ3Stsujk8xBdqyw6+TxE1yqLTj4P0bXKojMQCKijq6JrlcVTI6FAyQRSLYj8ZgVUaRCUfrK9IEynoii6TxeRzVMK6LVDK50ul4sC+v9DFp18HqJrlUUnNUC1hz/MXHStsnjqdrtTOsKAv488NR4KlEwg1YKYkZGhBktUaRCUfrI6s7OzYbPZAMizq4zoc5UpoB+LVjoVRYHH49FMVyjjsQGqd0A/NDQ07hqgegf01ADVHj79ZHaQBeR5Rxntqd1uT+oMLYDKqZlQoGQCqTZA+HtleRCJrtOonXr4Bmi6z1XOyMiAw+EAoO/3zzdw072cGhXQp3qIK3+f6Au6jTocl6+vrF4kimybOSiKoutZOkynFg1QWTzlR3z0gOnMz8+H1ZpcE1GWdxRfn/Q8HDfV756/V5ZySoESkRKpVm7+Xj0L4/DwMAYHB4PySxRZHpj8vXpq1bIBKnrPEn+vnlr5F0eyPaCylFOLxWKIVpa2zWZDVlZWUmnIspkDH9Ab4Wl+fr56zkyiyDKVOTs7Wz2mwQhPRX/u8+nLEtCL/tzn0xd9hH48lVN2n94BvZFQoGQCsjyI+LRTXfsj+gOTv9eoBmi6D8Hz9xrhqcPhkKYBKounhYXJHWHA7uXT0gsZPU0WWTy1WCyGTA8fT55mZmYiLy8vKC09GE+e5uTkGBrQjwdPjTwc1ygoUDIBWSoNNUC1hxqg2iOLTj590bXKopNPX3Stsujk009Fq5Ejn+PFUyqnwWgR0JOnwcgS0BsJBUomIEulkUUnn34qQ9tGzAHW0lPR5yrz91I5RVD6omuVRSefvuh1Spb6xKefilYaUQpGFq2y1Cc+/fHkKZVT46FAyQRk2cxhPC1A5O81Yj3NeJirzN9L5RRB6YuuVRadfPqi1ylZ6hOfvhYjSlROEZS+6FplqU98+qLXKVm+e0VRpGlLGYmpgdL999+PJUuWID8/HxUVFbjyyitx8ODBoGvWrFkDi8US9O+MM84wSbE2yLKwT0ud/MYQeiCbp1o8hNxuN/x+vya6wiFLz5Is3z2fvuhaZdHJpy9LORVdJ59+Kt+/kSNKopdTRVGk0SpLOfX7/eoGDKJrleW7HxwchM/nC8ovGYzq0DEKUwOlLVu24JZbbsEHH3yATZs2YWRkBBdeeOGY7UQvvvhitLa2qv/+8pe/mKRYG2R5EGk1/YKtxRFdqyye8vfqeTjuePTUqIB+PHnqdrt1O0uHb4COJ0/1boBqMeuBpt6dhG+Aij6qIIunvAeia5XFU5a2xWJJ+ggDIP1GlDLNzPxvf/tb0M9PPfUUKioqsGPHDpx99tnq51lZWaiqqjJanm7IVmlS0Wm1WpGfnw+XywWn04nKykqt5AUxnjzNyspCVlYWhoaG4HQ6UVRUpJG6k4y3BigL6NnfneyOhNHQqgEqi6fsXkVR4Ha7U0orElo3QGXxlAX0epRTvvNlPG3mwAL6ZM8OioZMDVDZnvvZ2dmw2+1Jp0OenoQf+UqlHlCgpCPM1JKSkqDPN2/ejIqKChQVFeGcc87Bvffei4qKirBphJ6uznodAoGArieEx0MgEAhqgObn5yetifXW9fX16fZ39fX1ARitNKnkUVhYCJfLhd7eXl208g3Q/Px8KIqSVD58D6gMnnZ0dKCvrw91dXUaqTsJ3wDlyykrw/FqZ40lGcopC+h7e3tRXl6ukbqT8C+NaHU/lseyeGq322G32zE8PIze3t6kz7iKRm9vL4DRBmhubm5cWsP5yzfq9fKUb4QkmwfbTQoY/dv16HhinmZlZcFmsyWlNRAISPOOYjrZu1mPgJ55yspZslr5up/sey4WWno6PDyMgYGBpM9iiwbTWVhYmJIPkZ6nib7rosG0atHmc7vdGBkZ0SWgZ+VUL095tPQ3GRLJV5hASVEUrF27Fp/73OcwZ84c9fMVK1bgS1/6Eurr69HY2Ii7774b5513Hnbs2BG28t1///3YsGHDmM87Ozt1nVITD4FAAJ2dneohXMPDw+jo6EgpzZ6enpTTiERbWxuA0TN/UsmDvdyPHTuG+vp6TbTx8EPwQ0NDGBwchKIoCT9I2BTBrq4u3Txtb28HMHrIpRaeNjU16dJY6uzsBDDqidfrVetOIBCA0+lM2F8ZPHU4HHC5XGhqatJllO748eMARhug0XraYnnMymlnZ6dunrJ0U/U0Pz8f3d3daGpq0mX0o7GxEcDod9fV1RXXPeH8ZZ52dHTo7qnFYkm5nHo8HjQ2NiZ9xEA0mpqaAIx+d8nqDAQC6vk0enrKvvNUPWUB/ZEjRzBhwgSt5KkcPXoUwOh3l4pOdkxHe3u7Gixp3WBmniqKkrRWfu3s4cOHUVZWpok2HlZO8/LyNPOUTyfZd104uru7AaRWTtkAgKIoaGxs1KXj6dixYwBS99RmswEAWltbI6ajpb/JkMiyBWECpVtvvRUff/wx/vGPfwR9vmrVKvX/58yZg8WLF6O+vh6vvvoqVq5cOSaddevWYe3aterPLpcLdXV1KC8vT2lxmhYEAgG1wgDAlClTki4gbBTB6/VGHF1LFTaiUFVVlVIebITQYrHoopU14u12O+rq6tDZ2Yny8vKEva2trQUADAwM6OYpC5JrampS9rSxsRFWq1UXrXwPGD/tNRAIwGKxxO0v83RwcFB4T4uLi9HS0oKMjAxdtLKArqCgIGr6sTxmDbmhoSHdPGUv5erq6pTyKCoqQnd3t26esgZoUVFR3OmH85d5qmc5Zc+pCRMmpOypx+NBZmamLlo//fRTNZ9k0w8EAuq9epZTrTwtKChAV1cXbDabLlpZOSsuLk4p/ZqaGgCj7+aioqKk3nOxYJ7W1dWlpDU/Px9ut1t3T0tKSjTxdHh4OCidRN910RgYGAAw+j5MVquiKLDZbPD5fLDb7bp4yjpeUvWUtRlGRkYipqOlv8mQSMedEIHSd7/7Xbzyyit4++231YZVJKqrq1FfX49Dhw6F/T1bvxGK1Wo15csIhZ8ixnrckqG4uBjA6HQOvf4uNlJTVFSkyXxVt9uti1Z+3YfVaoXFYknq+yZPTxLqKU8i/pKnJ4nmaSjRPDbS0+Li4rTxlCfUX+apy+WSwtPjx48L52ko/M5XennKRma18LSrq0t4T9lIt9PpTPo9FwstPXW73dJ4Gq6cauXxeC2nseq+XmU4HhLJ09TIQVEU3HrrrXjxxRfx5ptvYvLkyTHv6e7uRnNzM6qrqw1QqD1a7FHP3y/6AkT+fr20yqKTT1t0rbLo5NMWXassOvm0Rdcqi04+bdG1aqVTll3v+PtF91SWXe/4+2XxlMqpPDqNxtRA6ZZbbsHvf/97PPvss8jPz0dbWxva2trUYUqPx4M77rgD77//PpqamrB582ZcdtllKCsrw1VXXWWm9KTRYtcr/v7+/n6MjIykrCscslQaPV5CiqKkrCscWpynwN+v1wtTi0MH+fvpJSSPTj5t0bXKUp/4tEWvU1p991T3TyKLTj5t0euULPVJqx1k+fupnBqLqYHS448/DqfTiWXLlqG6ulr99/zzzwMYXWS3Z88eXHHFFWhoaMDq1avR0NCA999/X5eFbEagVaDEPxz0OktH69EvvR+YWukcGRlRg3WtkWVEUesHZn9/v26H447XcqpnQD9ePZWpUS+6p3o3lBVFGbflVC+dIyMj8Hq9QXkli2zvKL08HRgYUN99omuV6XlqJKauUYr1ks/JycFrr71mkBpj0CpQstvtyM7OxuDgIJxOpzrHXku07lkSvVc5Ly8v6Cyd3NxcLeQFIUuPjdY6gdGHMJVT7XT6fD4MDg4iJycnZW08fA+oLJ5qVU49Hg/8fr+6E5ZWjIyMqAepy1L3U/3u2XlBbGcrrXfoGxgYUGdTyFJORdep1SGu/P2y1H29dVqt1qDt/ZNBtnKq5wi9kZi/u8E4Q6vhYoAeRAytdFqtVl0fRONxCJ4F9HyaWuL3++HxeACMH08dDofa6NRDK98AHS+ehgb0WjMeG6ChAb3W8A3QVA5xBeTxlN8cRY8ReqYzJydH3eI5WWTzlAX0WsMHH6l2FsjoaTpAgZLBaDWixKdBDVBtKjefBjVA5fB0PDZA9Q7ox2MDVO+Afjw2QNkIPZ+mloznBigA9f2sJbI89/l0tfJU74B+PHqqV0BvNBQoGYxWc0D5NKgBqv2DSI9eZabTYrFoNgQv+kJZPg09G0vZ2dmw2+0ppSVjOaUGqDZTRfg09BxREr0+8enKEtCLXp/4dFPVyh9/ouc7SvT6xKerxRRRIwL68VRO+fv1WkNvJBQoGYweI0p6vti1bICKvgCRT0PP4LOgoCDlcwNkeWDyaehZTkXXyacrulZZdPLpil73ZalPfLqia5VFJ5+ullr1GFGSpT7x6WoR0LPNwaicaqM1KytLbTemw/S7hFtrzc3NOH78uPrz1q1bcfvtt+NXv/qVpsLSFS0DJSN662TqARVd63jsWeLToHIqh1ZZdPLpylJORdfJpyv69y+LTj5d0UdqZCynomsdr+VU76DOSBIOlK677jq89dZbAIC2tjYsX74cW7duxY9+9CP85Cc/0VxguiHLZg6yPIT4dEXXKotOPl3Rtcqik09XdK2y6OTTFV2rLDr5dEXXKotOPl0tteoxpWm8e0rlVB6tRpJwoLR3716cdtppAIA//vGPmDNnDt577z08++yzePrpp7XWl3bIspmDHhXG6/XC5/OlnF4oskxr0UunHjv1yDIFQ6YHuyxaZdHJpyt63ZelPvHpyjLrYbx5KuM7Smu0PEOLT2M8l1Ofz6eeHym6VqNJOFDy+XzqYsLXX38dl19+OQBgxowZaG1t1VZdGjIeKzc/eibLw12WIXi/368eEKglskwXGO8BvSyeOp36b72bKjRNjBqgMjVA9RxREr2c9vf3IxAIBOWTCrK9o/TUCYg/48loEg6UZs+ejV/+8pd45513sGnTJlx88cUAgJaWFpSWlmouMN3QasttPg3Re0BtNpt6eKvoWvWs3FrqzMvLUw/FlOXhLvp3z78ctG6E6NUAFd1Tlobf71cbi1ohUw+oXgE9O25AK7xer7qd73gsp3qM0PN/u5YNUD0CJVnepSzNjIwMTQ6Gl7Gcag1LMy8vD5mZmSmnp/d6KiNJOFD62c9+hieeeALLli3Dtddei/nz5wMAXnnlFXVKHhEZPRp2oveA8ulorZU/xHU89SxZLBbdtPp8PnWUSpYXphbfvc1mQ05OTlC6WsE3QGUpp1rozMvLU3d41FqrXg1Q0es+n4bWDSatG6CylFOWxsjIiOYBPdOZm5uraQNUltkZ/f39mgf0vM5UjzBg6fDpaole7ROtA3qt23zptJlDwrV22bJl6OrqgsvlQnFxsfr5t771LU0erOnMyMiI2gAdTy92lk5bW5uuDVBZGvVaetrb20sNUGjr6cDAgOZa+QZoqmdoAfJ4ygL6vr4+OJ1OVFdXp5wmg2+ApnqIKyCPpyygZ+W0pKQk5TQZfGNJlgaoFp46HA5YrVYEAgE4nU5N2zJ6PKMAeTZzAEbfKXqUU609Fb2csjRYQC9DOR2XI0rAaC/+jh078MQTT6iV1W63U6AUAy0PceXTEL1y8+nI0gAVvbeOT0drrSy98dYA5dPRq5yOtwYon45enopen/g0x6unopdTPUfoZSqnegT0gH7vqPFWTllAz6erFTLVfaNJOFA6evQo5s6diyuuuAK33HILOjs7AQAbN27EHXfcobnAdIIVmJycHGqAaoSMDVDRpzPKopNPU5ZyKrpOPk3RtcpYTkXXqvV3T3VfzhElWcqp6Dr5NMdrQD8uA6XbbrsNixcvRm9vr9pbAABXXXUV3njjDU3FpRt69YLI1AM6nnuWZNEqUw/oeC+n5Kn49YlPc7x6SuVUjkBJljolS33i0xRdq9Y602kzh4TXKP3jH//Au+++C7vdHvR5fX09Tpw4oZmwdESv3jq2U48WIyoMWXpsZNHJpzleX0LUUy++Tj5N0bXKWE5F1yrLd8+nKbpWvXSKvkaJT4fq/vgrp+m0mUPCI0qBQEBdPM9z/Phx5OfnayIqXdGrIAYCAXXbca2Q5UGkl87BwUEMDw9rkiZjvHuqx9a7491TatSLr5NPU3Stsujk0xRdqyyjH4FAYNyPKGmtc3h4GIODg0F5pMp499QMEg6Uli9fjocfflj92WKxwOPx4J577sEll1yipba0Q+tAKScnR91udLxWGr1G6QD9tt4V/YWp18uSAnrtdQ4MDGh+OO5491TrgF7rM7T4dGTxlBqg4k+983g8arkfr+8ovb57QPsOclnK6bgMlP793/8dW7ZswaxZszA4OIjrrrsOkyZNwokTJ/Czn/1MD41pg9aV22KxjPtKo7XOzMxMdfc80Ye2ZRmCz8nJ0eVw3PHcAOW/Gy21ytgA1bo+BQIB9Pf3a5ImENwAlaXuix7QUwN0NFDSMqBnOjMzM5Gdna1JmrK8o/TW6XA41HdgqshWTsdloFRTU4Pdu3fjjjvuwLe//W0sWLAADzzwAHbt2oWKigo9NKYNWjfq+LS07LHRswEqes8Sn9Z4b4DqEdBr+f339/cjEAgAGH/llA/otdSq9RlagDye5ubm6hLQ8w1QfgOkVJDFU71G6FlaejRARfeUpeP3+9VzGbWA16nVemdZ3lF6BfSytPn49PRaQy8zSR0TnZOTgxtvvBE33nij1nrSGq0rN6BPTwjfAJWlx0YrnSytlpYWTbXq2QAV/SXE0urp6dGlAZqRkaFZA1S2ctrf36+Lp3l5eZo1QGUZ/WABPSunEyZM0CRdXqcsDVCtymlmZiZyc3Ph9XrhdDpRWlqqSbp61Sc+ba3QWisL6P1+P5xOp2Zrw/V67vNpa4XeU+6pnKZOaECvxTmXZpFwoPTb3/426u9vuOGGuNO6//778eKLL+LAgQPIycnBmWeeiZ/97GeYPn26eo2iKNiwYQN+9atfobe3F6effjoee+wxzJ49O1HppqNHpdHjQcQ3QLU6RFiWByafll4NULauLFXIU/kaoFp72traqpunWiGbp3oF9OPZUxYoacV49pSdpdPb2wun04na2lpN0h3PntpsNl0D+vHoKetsYwH9uAqUbrvttqCffT4fvF4v7HY7cnNzEwqUtmzZgltuuQVLlizByMgI7rrrLlx44YXYv3+/aurGjRvx0EMP4emnn0ZDQwN++tOfYvny5Th48KB0u+zJUmmoAar90LaePUt6DcGL3gsmS33i0xNdqyw6+fREr1Oy1Cc+PQrotUMvrSxQ0gpZ6hOfntZaKaDXL6CvqanRJF0zSDhQ6u3tHfPZoUOH8J3vfAff//73E0rrb3/7W9DPTz31FCoqKrBjxw6cffbZUBQFDz/8MO666y6sXLkSAPDMM8+gsrISzz77LL797W8nKt9UZBtRGo+Vm0+LPBVbqyw6+fRE1yqLTj490bXKopNPT3Stsujk0xNdqyw6+fS01trW1kaeCh7Qm4Emc4CmTZuGBx54AF/5yldw4MCBpNNhZpaUlAAAGhsb0dbWhgsvvFC9JisrC+eccw7ee++9sIHS0NAQhoaG1J9Zz0MgEFDX3ZgF3wuilRa+Z1GrNPv6+gCMFnKt0mSjf263GyMjI7BaE95HJCzM0/z8fPU7VhQlJd3M076+Pik81fK7Z+mx9EPTTdZf2cqpy+XS1NPQchqNeD3W01Mtn1EieMoTzV/maW9vr2ZaWediOnsaCu+xHs9TvtNxvHjKo0fd19NTI99RycICBFZOtWhLyFJOA4GAut28HuU03PNUC39TIZF8tVksgdH1LC0tLUnfrygK1q5di8997nOYM2cOAKCtrQ0AUFlZGXRtZWUljh49Gjad+++/Hxs2bBjzeWdnp7rrmFnwQVtHR4cmabIF121tbZql2dzcDADIzs7WLE3mvaIoaGxs1GzaZE9PD4DRBYMdHR0IBAJwOp1QFCXpYIytIWptbRXaU3Yg7tDQEJqbm5GVlaVJuszTcOU0WX/tdjsAoKWlRbO///jx4wBGO0+09tTlcqGtrU2zgJ41lkdGRmJqjddj5umJEyc0+/tPnDgBQFtP2S5STqdTszSBk0FdPJ7yRPOX1SEtyyl7L2rp6cjICIBRD7T0lDXshoeHU0qX95h5qkc5tdlsmnva29urWZp8AzRVT3mYp8ePH9e8nNrtdk3/fmD0naJlW4I9p7X0lG2J3tzcrFlborW1FcBom0IrnX6/H4C2nvJTIwcHBzVLl22yFK6cauFvKiRyDlnCgdIrr7wS9LOiKGhtbcWjjz6Ks846K9HkVG699VZ8/PHH+Mc//jHmd6HrZBRFibh2Zt26dVi7dq36s8vlQl1dHcrLyzWd8pYMO3fuxPHjx1FVVaU2clKFzfscHh7WbHt2tpVjWVmZpmnabDb4fD7Y7XbN0mUHmE6aNAkVFRUIBAKwWCwoLy9PuvJVV1cDGG3gab3lfXl5uWZp8gtOs7KydPOUJ1l/q6qqAIw2RrQup1p6ygJ4RVGQm5ur2TODPZQnT54cU2u8HrMOJL/fr9nfzxo2FRUVmqVps9kAjL6Ai4qKNHn28YcXT5kyJSGt0fzVw1PWsKmsrNT8e3K73SgrK9OkocHPxpg6dSqKiopS0sc8Zn9zIBDQ3NOqqirN0mRbbbvdbs3SZA1BYNRTrc4nKi8vBzD6nNJKKwsUtfR00qRJAEbfKVql2d7erv7/lClTNGtkM08BaNaWYJ1E1dXVQnvKOrLtdjsmTpyoSZrAaBsSCF9OtfA3FRKpiwkHSldeeWXQz+wPPe+88/Bv//ZviSYHAPjud7+LV155BW+//XbQDi6scdXW1qY2XgGgo6NjzCgTIysrK2zPutVqNeXLCCU7Oxt2u10zLexl5nK5NEuTNeqKioo09aywsBBdXV1wu92apct6QIuLi9U0LRZLSt8381RLnfwZBVqlabVa4XA44PF44PF41PqSCnwPaKTvPxl/+Q0ytPZUy3Kam5urBvRutzulxiKDb4Dy5TQa8XisR93Xw1PeQ7fbHdQgSRb+sM1ktEbyl5VTLes+q09a1n3mqaIo8Hq9mgT0fA+rFlqZx7KU0+LiYgCjjcaRkRFNAnrmKdvsSiv09FSPcupyuWCxWDTZHIp1kOTn52u2gywQ/h2ValtCz3LqdDqFfkYBsdtSqfqbConkmbA6NneT/fP7/Whra8Ozzz4bFMzEg6IouPXWW/Hiiy/izTffxOTJk4N+P3nyZFRVVWHTpk3qZ8PDw9iyZQvOPPPMRKWnJbIs6uTT00or3wAVfbGkLJ56PB61AToePeUPx9VKK5+Oljt1yuJpRkYGHA5HUPqpwtKx2Wya9dID8niak5OjNhK19jQ/P1+zM7QAeTzlg02tPRX9uc+npcdzX1EUNcBJFfJ0NC1+CmKqyOSpGZg6xHLLLbfg97//PZ599lnk5+ejra0NbW1tGBgYADDaaLn99ttx33334aWXXsLevXuxZs0a5Obm4rrrrjNTujDosZW1HqdJ8+lppZVPR/QGqN6eytIAHc/lVK8G6Hj2VMsjDFh6gPiNJT6g18NTLZGlnPIBPXmqDXoG9OPV09DDcbVAr3Kq1zEGRhPXuCW/5icWDz30UNzXPv744wCAZcuWBX3+1FNPYc2aNQCAO++8EwMDA7j55pvVA2f//ve/S3eGkl7oeT6N1mu6tNbK0nE4HJo2QGU584dPT4+XkCwNUFnKqeg6+bT00HrixAlpGkuy1P3u7m4qpxpSUFAAj8cjvKf8bnJaoWdAz8qpFofjylj3tfz+MzIykJeXh/7+fjidTnUdUCroVU71CD7NIK5AadeuXXEllmjDik3xiZXm+vXrsX79+oTSHi/I9mLn008VmXqWZNEqy8gXn5boWmXRyaclulZZ6hOf1nj3VJZy2tLSIo2nsryjuru76R2lIYWFhWqgpAUy1X0ziCtQeuutt/TWQSQJXxCj7QaYCLJUGll08mmJ3lsri04+LdG/f1l08mmJrlXGciq6Vlm+ez4t0bXKopNPS5ZyKrpOPq3xHtDLHiiZvw0ckRKsIPp8Ps3OiZKl0uit0+12q9vQpgp5GhzQawF5Sg1Q0XXyaYmuVRadfFqia5VFp6Io0miVRaff71c3sBBdqyyemkVSeytu27YNf/rTn3Ds2LExu268+OKLmggj4sPhcMBisUBRFLhcLvWAr1SQZQGq3joBaLZFtCzTBfR+YPp8PgwNDWmyUQSV05MBfSAQ0GSLVfJUvgaoLJ5qpdOIBuh485Rtic6nrRWyvaO08pTfbl/0tT+0mUN0En6zPvfcczjrrLOwf/9+vPTSS/D5fNi/fz/efPNNzU0mYmO1WjVf2CnL0LZeOrOystQzNGR5uIuuMz8/X50WKvr3L0s55dNL5JTxSPj9fjUdWTzVqz4NDw9rMkI/ODioHjopS93X67tnAX2q6NkAla3ua63TYrGoO/9phSzvKL10RjrbMxVkKafpMqKUcKB033334d///d/x5z//GXa7HY888gg++eQTfPnLX9b0RF8ifsb7g0iPAF3LHhu+ASp6L5hePUtaB/T8GRLjtZyyw6v5PFIh9MBRLZHFU343VS3qFEuDGqCjo2taBPR6NkBl85Q/SzAV+Iay1od/yvKOCh2hTxUj2ieylFPZd71LuEYcPnwYX/jCFwCMPqj6+/thsVjw//7f/8OvfvUrzQUSsdGy0lADFEFpat0AlaVnUWudfJpaaOV7QLU+KmC8llMZG6Bal1OtA3qWRn5+vuYNUFlG6bQO6GWpT3w6egb0Wnoq+nOfT0evd6nWAf14LqdaB/RmkfCTu6SkRC1EEyZMwN69ewEAfX198Hq92qoj4kKPxhI1QLX31G63a3qIK0Ce6tEAHe+eiq6TT0d0rbLo5NMRXassOvl0tNbKH45LnmpDdnY2bDZbUB6pQJ5qH9CbRdwtjN27dwMAPv/5z2PTpk0AgC9/+cu47bbb8M1vfhPXXnstzj//fF1EEtHRcniTpaFnA1T0IXg+TS0qtyw6+XREn85ohKcylVPyVDtka9TL5CmVU+1gIyCyeCr6O4odjgvI46no5VTrgN4s4m4JL1y4EIsWLcLMmTNx7bXXAgDWrVuHO+64A+3t7Vi5ciWefPJJ3YQSkdFjStN4HoLn05SlsST6S4hPk8qpdoz3ui9LORVdJ5+O6N+/LDr5dPTQSiNKYmulcjpKOmzoEHeg9O6772LhwoX413/9V0ydOhVf+cpXsGXLFtx555145ZVX8NBDD6G4uFhPrUQEZHyxa3GWjiy9tbLo5NOR5SUkuk4+HdG1yqKTT0f0OiVLfeLTEV2rLDr5dPQcUZLFU3pHaYeWOvU8woBPU+YNHeIOlJYuXYpf//rXaGtrw+OPP47jx4/jggsuwNSpU3Hvvffi+PHjeuokoiBb5R4ZGcHAwEDK6cnyIDKiZ8nj8WhyOK4svWAU0CMoTZk81QLZyqnoOvl0RP/+ZdGpdwNUj01HRC+nIyMj6O/vD0pXS2R8R6WK1+tV2w6iazWLhBeh5OTkYPXq1di8eTM+/fRTXHvttXjiiScwefJkXHLJJXpoJGIgy0vI4XCo655E1yqLp3yasox+yeLpeA3o9dSpRUBvVA+oLJ5qEdDzDVDyVI4G6Hhs1PPvONG1yuIpSyMjIwN5eXkppxfKuAyUeKZOnYof/vCHuOuuu1BQUIDXXntNK11EAsgyVcRisYzLBah66uR30ktVq0xD8Hp66nA41MNxU9Xq9/sNaYCK7qmWh+MODAxI0wNqVECf6uG4eh5hAMhTTrUM6JlOq9WqSwOUjSjJ4qkWAT2rTzk5OeoOdVoiWznVUmdBQYH63tMSrUe+zSDpQGnLli1YvXo1qqqqcOedd2LlypV49913tdRGxIksU0X4dFPV6vf74fF4gtLUEll66/h0U9U6MDCAkZGRoDS1RJbpjHxAn6pW/kUmSznVQyd/NlOqWtn9ehziCsgTKPEBvVae8mceaYks5VTLgJ7XqUcDVI+pd3o+930+X8oBvSzvUj4NPcup2+1OOaDXu8037kaUmpub8S//8i+YOnUqzj33XBw+fBg///nP0dLSgl//+tc444wz9NJJREGWFzufrpYNUNF7bIwKPlPVyu63WCy69ICOx+BT7wboeKz7ejdA9Rj11qPua3k4rizfPZ+GHlr1COj18lSWNUpajtDrWZ/4dEUvp3yaWgX0etf9cbGZw/LlyzF58mT84he/wNVXX41PPvkE//jHP/C1r31Nl0YVET+yvIT4dKkBqh16NEC1PkMLGN+eiq6TT0N0rbLo5NMQXassOvk0RNeqt05ZGvUU0I/vgD4dRpQy470wJycHL7zwAi699FJkZGToqYlIEFkqN5/ueKrcsmiVRSefhuhaZdHJpyG6Vll08mnoqbW5uZk81ZDCwkJ0dHQI76ksU+9Yui6XS3hPqZxqz7gKlF555RU9dRApIMsCRD5drYbgZajcsmiVaQieyimC0iVPtUO2xhIgj6dUTrVDlo2RWLoyBfSyeNrR0SFNOZU5UNJ+fg1hOKwger1e+Hy+lNKSZTMHI9f9aLVTj+gNO1l08mlQOZVjkTyf7ngsp6JrleW759MQXaveOmUbUeLzSRZZdCqKIs16KtrMITamBkpvv/02LrvsMtTU1MBiseDll18O+v2aNWtgsViC/tGGEWPhC3iqvQuyPIiM0un3++H1elNKS7bNHPTWqWVAT+X0pM7xFtCLXp/4NGRpLIn+3fMNUNG1yjL1zufzqefFiV6nZKlP/f39uh5hwKcrejkdV5s56EF/fz/mz5+PRx99NOI1F198MVpbW9V/f/nLXwxUKAc2mw25ubkA5Kk0ouvMy8tT1+KJrlUWT/l0KaDXBq0CemqAnoSl29/fr26Xnww+n0/9TshTbQJ6aoCeROsgmU9Ta2TxVGudGRkZattMa8abp2YS9xolPVixYgVWrFgR9ZqsrCxUVVUZpEheCgsL4fV6x02l0VsnO0unt7cXTqcTNTU1SaVDDdCT2Gw25OTkYGBgAE6nE6WlpUmlQw3Qk7CA3u/3w+l0Jr0DKTVATxIa0JeUlCSVjt5naAHyecoC+mTLKTVAT8JGlFhAn5mZXHOO6czNzdXlEFdAHk+1Cuh5nXocYcDS5vNKFlnafGYi/BqlzZs3o6KiAg0NDfjmN7+Jjo4OsyUJiRbDmyMjI4Y1QEVfgMinnUoF93q91ADl0OL758+N0LsBKno55Q/HTUUru9eIBqjonrKAHkitThnZABXd07y8PPXIAS3KqRENUNE9ZYESkNpZOrK8S/n7jQjo2XTEZDDSU9HLKXs/pTpCbyamjijFYsWKFfjSl76E+vp6NDY24u6778Z5552HHTt2qHvIhzI0NIShoSH1Z1YIAoEAAoGAIbojEQgEoCiKLjpYYezt7U06/b6+PvX/HQ6HLjodDgeA0QdeKukzrfn5+UHpaOkx87Svry/p9Hp7ewGMniWRk5Oji6fshelyuVJKn1/7ESmdVP0tLCxEW1tbSuWUeZqTk4OMjAxdy2kq3z27HxhbTqORqMds5FMLTwsKCqAoSsrrncKhtafRymk04vG3sLAQAwMDKWllOgsLC3V792jxjGL3A9o998N5XFBQgL6+PvT29qKysjKpdPlyqpen7HmaqqfsearHuzQQCMBmsyE7OxuDg4Po7e1NuqHLPDWinKb63mftuUSep4mQm5sLi8UCRVHQ29uLzMzMpPKhcnoSPqDv6+tTR+j1bA/HQyL5Ch0orVq1Sv3/OXPmYPHixaivr8err76KlStXhr3n/vvvx4YNG8Z83tnZicHBQd20xkMgEFCHdLU+0DM7OxsA0NzcnPSo27Fjx9S0WEXXGlY4e3p6UhodbG9vBzAagPDpaOkx61VOxdMjR44AGH1YdHZ2pqQnEszT7u7ulDxl91oslojppOov8/TYsWNJa21sbAQw6qneI8ypesq+82iehpKox2wa09GjRzF58uSkdDY1NQEYfVnq5SkbAejq6kopj66uLgCj01qTSScef5mnTU1NqK6uTkon8zQ3N1c3T1lAq5WniZTTaITz2OFwoK+vD01NTUlPZzx69CiA0e9H73La2dmpiacANNfK/M3Pz8fg4CAaGxuTHglm7/2cnBzdPe3o6Egpj+7ubgCjf79eWvPz8+FyudDY2Ijy8vKk3nXNzc0A9PWUraFub29PKY+enh4A+nrKAvrGxkZ1VEnP9nA8JDIKK3SgFEp1dTXq6+tx6NChiNesW7cOa9euVX92uVyoq6tDeXm5btN04iUQCMBisaC8vFzzglFeXq7+f0VFRVJptLS0AACKioqSTiMWkyZNAgB4PJ6U8mCjhhMmTAhKR0uPy8rKAIw2RpLVygIlPT2tr68HMDq0nUoerCMh1FOeVP3l1yUlq5W9IIqLi3XzdOLEiQBGp05q4WltbW3c6STqMfPUYrEkrZXlU1JSopundXV1AICBgYGU8mBTYurq6pJKJx5/S0pKcPjwYVit1pQ9LS0tTXtPQwnncUlJCY4fP56Sp6zBraentbW1AEbrbip5sGnsEydO1Fwr87e4uBidnZ3IyMhIOQ89PZ0wYQKA1D3t7+8HMPrO00trUVERXC4XMjIyUFRUlNS7jnVglJWV6aaTrZseGhpKKQ+PxwNgtG2ml9bCwkIMDg4iMzNTzUPP9nA8sMGFeJAqUOru7kZzc3PUHr6srKyw0/KsVqspX0YoFotFFy1FRUUARgPDZNNmEXZhYaFuXhUXFwMYHe5NJQ82BF9cXDwmHa08Zp663e5x7ylPKv6ON0/ZtIZYnoaSiMdsyg15Gj+x/CVPUyfUY/JUWywWi6aeFhUV6e5pKu0TQH9PgeBymuy7jjwNprCwEO3t7WPKqV7t4XhIJE9TAyWPx4PPPvtM/bmxsRG7d+9GSUkJSkpKsH79enzxi19EdXU1mpqa8KMf/QhlZWW46qqrTFQtJlos7DNyAeLg4CCGh4dht9uTSkeWBahGL+pUFCXpRc6ybOZAC2WDIU+1R4u6L0t94u8XXassOvn79dSq5UYuotenQCAgzfcvi05+Tb8R5VTWne9MHWLZvn07FixYgAULFgAA1q5diwULFuCf//mfkZGRgT179uCKK65AQ0MDVq9ejYaGBrz//vtBi8OIUbQoiHof5AgEL+xLpYIboVWLl5CRjaVAIKBOTUgGWV6YRn73AwMDKR2Oa6RWWTxlAX2yyBKAyFKf+CMMqJxqo3N4eFiddiu6VlnqU39/v/rcEL1OyVJO+e9Dz3a17FuEmzqitGzZsqgvzNdee81ANXIjSw9oZmYm8vLy0N/fD6fTqa4DShQjH+6iPzDZ7m/sLB22u1iiyPJwN+K75z1ItpwacYYWn7bonvJb7/b39ydVTmVsgBoZ0CezDbnH41E3hKFyqs0IvRGHuALyvKO0rE+ZmZkJrS9JFNk6SLXw1OFwqGt/9UCrUVqzMH/RDqEJsryE+PST1UoN0GD4uerJavX5fOqCbvL0ZEDP55co1AANJjc3V30ZJ6tVxgaokQF9MvANULYrpR7I4mloQJ8MRjdAZfHU6/UmPUJvxCGuLH0+v2QwI6BPBlnafGZDgVKaIEvl5tOnBqh2pKqVGqBj0cpTaoCOokVAz+7Ly8tDZqZ+EyJk8dRms6nbQqfqKTVAR9EyoBf9GcXfa1RAn+yoAnkajJYBvQyemgkFSmmCLHPq+fST1cruk6EBarSnsjRAx1M5NaoBOt481RNZGkt8+rJ4Kno55QN68lQbtA7o9UQWT/mAXvRySps5EEIgy5x6Pv1UH5gFBQW6NkBlmavMpy/6A1OWOfV8+lqUUz0Zj3Vf9PrE3yt6nZLlu+fvFV2rUTrZAnwK6LVDlneUxWKRppzSiBIhBDL2gMrSWBL9gcmnL/oDU5bNHPj0x1M5FV2rjOVUdK2yfPf8vaJrlUUnf68s5dQonTJ1kMpSTmkzB8JUWEF0u93q+p1EocodDL3YtYc81R7yVHvIU+0hT7WHPNUe8lR7aESJEAJWEBVFUU+FThRZKo3ROvlD2RKFPA2GAnrtoRe79pCn2kOeak+qOv1+v9peEF2rLJ4ODg5ieHg4KC29GC+emg0FSmlCdnY27HY7AHnmAIuukz+ALdkKLsu8aqMfmIqiwOPxJJUGldNgtAjoydNgeJ3JBPSBQMDwBqhMnibD0NCQ4Q3QdPeUfwbTOwpB6af63QP6HuIKyFNOaTMHQhhkmwMsus6MjAz1UMxUtzQVfV41u09vndnZ2equesl8/4FAwDCtspRT/mWczPfPB1jkKYLSVxQlqa13PR6PerYJeYqg9Pke90Tg/75kD9WOF9k8TfYsHabTZrMhKytLU22hyPKO0uq7z8/Ph9WqbxNblnJKI0qEMKRSGPkGKPUsnSQVrXwDlDwdJdWzdPgGKHk6Ch/QJ6OVv8eoHlDRPc3JyUkpoOcboNnZ2ZpqC0UWT1M9HJdvgOp5iCsgj6cs/UAgkNQIPa9Tzx1kWR58nolitKepBvSit0/4+4wcpUv2cFwzoUApjaAGqPakopW/R/QeG9k8pQZoMFp4Sg3Qk6Qa0FMDdCxaBfSi1yf+PlkCevL0JKkejkuejkWLKfdmQoFSGkENUO3RwlOHw0ENUA5qgGqPVp7qDXmqPeSp9sjiqZYBvd7I4mlmZiby8vIAIKmNscjTsaQa0JsNBUppRCoL+/hpd0Y1QEVfgMjnkUzllkUnf5+RWlMtp3ojYzklT7VDtgaoTJ5SOdUO2TyV6R2VTKAky3fP32dEQC/zhg4UKKURqRREoxb18XmIvgCRzyOVIXjRdfL3if79UzkND3mqPanUKVnqE3+f6Fpl0cnfJ7pWWeoTf5+RWlMZURL9u+fvM0KrzBs6UKCURsjWA+p2u+H3+xO+X5ahbVl08veJrlUWnfx9omuVRSd/n+haZdHJ3ye6Vll08veJrlUWnYqiSDNKK4unfr9fXS8kuqdmQ4FSGiHbAxNI7znAZugcHh7G4OBgwveTp2OhgF57qAGqPTI2QNPZU7MaoOns6eDgIHw+X1A6epLK1DtZPOUDFtG1mg0FSmmELA/MrKws9cwG0bXK4ml+fr66tkx0rbJ4mkpATw3Q8KQS0FMDNDypBPRmNUBl8TTdG6CyeMrusVgsup+hBYyPESV2T3Z2Nux2u6a6wkGBEiEEsizq5PMRXassOq1Wq3oGTqJaA4GAGgiQpyfhA/pEtQ4NDZnSABXd01QOx+WDVfL0JHweiW69y3TK0AA1w9Ph4WH1LLx4YTqNboDK4qnb7UYgEEjoXn59kt6HuALjYzMHo9t8tJkDIQSyLOrk80lUK38InOiLJWXxlH8ZkKfBJKvV6B5QWTzlA/pkPbXb7WoAqyeyeJqVlQWbzRaUb7yw6/Pz8w1pgMriKV9nk/VU9GcUf4+Rz/1kztIxy1NZNnPgD7ePF6M9pRElQghkGYLn80mlAcr3TuvFePLUbrfrfoYWML48NaoBOp48FV0nf48RWlM5S4c8DU9GRkbKAT15Gkx2dnbKAb0MM16MnnIfmm+8yOSp2ZgaKL399tu47LLLUFNTA4vFgpdffjno94qiYP369aipqUFOTg6WLVuGffv2mSNWAmR5YPL5UANUO6ixpD3kqfaQp9pDnmoPeaotMgb0om/mMF4CerMxNVDq7+/H/Pnz8eijj4b9/caNG/HQQw/h0UcfxbZt21BVVYXly5cnVXjHA7I8MPl80rlyy6JVFp38PaJrlUUnf4/oWmXRyd8julZZdPL3iK5VFp38PaJrlWn0gzwNj8yBUqaZma9YsQIrVqwI+ztFUfDwww/jrrvuwsqVKwEAzzzzDCorK/Hss8/i29/+tpFSpYCv3IqiqLugxYMsmznIopO/R3Stsujk7xFdqyw6+XtE1yqLTv4e0bXKopO/R3Stsujk7xFdq1k6E11LBZij9fjx48J7KvNmDqYGStFobGxEW1sbLrzwQvWzrKwsnHPOOXjvvfciBkqhi9pYYQgEAgnvtKI1gUAAiqLopoMtQB0ZGUF/fz9yc3PjvpcVXofDYYhPbLi4r68vofx6e3sBjFa6cPdp7THz1OPxwOfzISMjI+5708VTHi38ZZ46nU74/f6EAnrZPM3Pz09YZzIe854mmt948JQnXn9l9LS3tzeh/Pr6+tT7tdQZyWPyVBt4f5P1lD/CwChPWWNZRE95mKculyuh/Fjbi6VBnp6EnyLI2uN6todjkUi+wgZKbW1tAIDKysqgzysrK3H06NGI991///3YsGHDmM87OzuTOohTSwKBAJxOJxRF0WV9jaIoyMjIgN/vx6FDh1BdXR33vV1dXWoaHR0dmmsLhW2b2tLSklB+x44dAwDk5OSEvU9rj9kWzwBw6NAhlJSUxH1vd3e3qskIT9lOYCdOnEgov+bmZgCji21j3aeFvyMjI+p/m5qakJeXF/e9PT09AEbP1JHB00jlNBrJeMw89Xg8OHHihLpoOh6M9pRtGHL8+PGE8jt+/Lh6fyo64/WXnUnU29uL9vb2uAP6QCCgNkJGRkYM8TQnJwdA8p5mZWVpqjOSx6xx0tPTk1B+w8PDagPU5/MZ4inraGxubk4ovxMnTgAYfcfppZP3N1lPPR6PWsaN8pSVUxE95VEUBcBo3e/o6Ij7Ocze+cBop72R5fTYsWMJ5dfS0gIAsNlshuhk5ZR5qnd7OBaJLOERNlBihL6cYk0pW7duHdauXav+7HK5UFdXh/LycsO2QYxEIBCAxWJBeXm5bgWjrKwM7e3tAICKioq472O9tQ0NDQndlyz19fUARtepJZIf2xp8woQJYe/Tw+PCwkI4nU5YLJa4tSqKojZAp0+fboinEydOBAB4vd6E8mMjsLW1tTHv08JfRVGQlZWFoaGhhDwdGRlRG6AzZsxAeXl5UvknghGehpKMx6WlpbBarQgEAsjIyIg7T6/Xq3YgzZgxw5CdJOvq6gAAAwMDCXnDdNbV1aVUn+L1l70v/H4/srKyUFRUFFf6vb29agN0xowZhmxlXltbC2DUo0S8GRgYADBazrV8RkXymAXJAwMDcDgccc96aG1tBTC6vXxDQ4MhDasJEyYAGK3LiXjj9XoBjL7j9Hruh/O3r68PJSUlyMyMr1nHAs/s7GxMmjQpoZH9ZBHZU56GhgYAo56Wl5fHPZOEvfOLiorUv1VvampqAIy2jRLxhn3/kyZNMsTTz33uc3j11VdRWlqKiooKQ9rD0Uhkh19hA6WqqioAoyNL/MhIR0fHmFEmHv6QSB6r1WrKlxGKxWLRVQsLlHp6euLOY3BwUJ2LW1FRYYhPrJHb3d2dUH6sxyZa5dLa47KyMjidzoQ8dTqdai+/UQ8CPT3l0cLfsrIynDhxAj09PZgyZUpc97AgyWKxqIGB3hjlaSiJemy1WlFSUoKuri709PSoL89YsBe73W5HQUGBIY0lszzlicff3NxcOBwOeDwe9PT0xD2azDzNz89Xe9D1RgRPQwnncWFhIWw2G3w+H3p7e+M+Y4x5WlpaGncgkCoiesrD/C0rKwNwcipdvB1IzNOysrKEppSnguieMljg4PP50N/fH3cnCe+pUe1NWTwtKSnBJZdcEvSZ3u3haCSSp/mRQwQmT56MqqoqbNq0Sf1seHgYW7ZswZlnnmmiMrFhD002lS4eWIXJyMgwbGFfMjr569n9RpCMVnZtbm5uQmvFUmG8eFpcXGxYY2m8eFpWVmZIkMTy4vOOFxk9NQpZPLVYLOSpxmRmZqK4uDgo73ggTyOTm5urdnKQp4SpgZLH48Hu3buxe/duAKMbOOzevRvHjh2DxWLB7bffjvvuuw8vvfQS9u7dizVr1iA3NxfXXXedmbKFhhX6zs7OuO9h15rRWEpEJ2DugygRrbLo5K8X/eFupk6ZPE3XciqLVlnqEyBPOZVFJyBPOZVFJ3+96HVKpnJqhlZZMXXq3fbt23HuueeqP7O1RatXr8bTTz+NO++8EwMDA7j55pvR29uL008/HX//+98NmUcvK2wYNpleECPWfDB4nYlsZc4qt1la40UWnfz1ZmhN5sVOnoYn3cupLFplqU+APOVUFp2AeeX00KFDaVv3zfr+m5ub0/IdFQgEgqbeEdExNVBatmyZurtIOCwWC9avX4/169cbJ0pyZJnWUFpaCmB0obTT6Yx7DrAsQ9tm6uzv78fAwEDc6yPI08iwvHp7ezEyMhL3lD/yNDK8zkQ6SczWGi+y6FQURRqtsugcGRlRN0YSXassnnq9XnUzBzPaKOnoKTuaAzj5dxKREXaNEpEcsjwws7Oz1YW8omuVxdOCggK1Ic9vUxoNaixFhy3gVxRFbQDFwu/3By3qNQpZPGV5DQ8Px32gI7/hDHk6FpaX2+0OOkcwGm63Wz3+wMjGkmyednd3x33mCqv3FotFXTdkBLJ5mswaapvNZuhsIv77jxdZPGXX5ufnG7Irp+xQoJRmyPLA5POLV6vP51MPyJPlQWSkzmQWSvPbQ5OnY0lmoTR/kCo1QMeSzEJpMzacAeTxtKioSN25LN6GnRkbzgDyeMrqLn8uVizM2HAGkMdTltfAwIA6ShQLMzacYfnx+ceDmZ729fUFnfsYDdrIITEoUEozZFkoy+cXr1bWALBarYb21smynobPL16t7Lrs7OyEDn5NFVnW0wCJl1N2HdsK2ShkWdANJF5OeZ1GbiWbTN03o5xardaEpwrJUp/4a40sp2zLfD7/WMhSnwBz3lEOh0MdwUj0eWrWu1T0d1RxcbEaQMbbSUIbOSQGBUpphiwLZfn8En2xG3WGDkOW3W/4/OLVanZvnUyN+kQ9Fb0+AeY3lhOt+6LXJ/5a0TueZKlP/LWi1ylZ6hNgTp1KZtaDWeWUdTyI/o7KyMhIuJPErPokKxQopRmhC6XjwewXu+gPTBkbS+SpdpCn2kOeag95qj3kqfbI5qnoa5T4/ET3VFYoUEozklkoTZU7Oiw/l8uF4eHhuO4xW6ssniayUNpsrbJ4So0l7SBPtSdRnWZtOMPnl26emrXhDJ9funk6NDQEt9sddK9RyOKprFCglGYks1BalgeRWTpTWShNnoYnlYXS5Gl4El0oTQ3Q2LD82PbwsfD5fGp5Jk/Dk+isB7M2nOHzk8nTeDBrwxkgfT01a8MZQB5PZYUCpTQkkbnqiqKYPv9f9Dn1/ELpeLTyZ2nIspmD0TqzsrLUhdLxPNwHBgbQ398PQPzF52bVJ4fDAbvdHqQhGvxZGqIvPjdrTn1JSUlCC6XN2nAGkG89zcjIiLqLaTSYzqysLEM3nAHkeUex79Dj8ahBZTSYzsLCQvWZYRSyvKNYfj09PepzMhr8c9/INdQsT15DLGgzh8SgQCkNSeSFyZ+lIfqiXrMemEBiPTY9PT1qTyk7h8coZOpZSuThznQafZYGIM9mDhaLJSGtzHczztKQZTOHjIwMtQ7Ho5VdU1JSoo5CG4UsjfpEz9Dj65ORG86wPHkNsTDrHcWfoZdI3TfzuS/6O4o/Q49NU4yGme9SWd5RskKBUhqSyIOIXWP0WRqAPA9MPs9EPDX6LA0g/T0tKzN2dz6WJ68hFjJ6ajTkqfaQp9oji6eJ7iZHnsbGZrOpU+jI0/ENBUppCD0wtYc81R7yVHvIU+0hT7WHPNUe8lR7khlNJk/TDwqU0pBEpmCIMATf29sb14nSIgxtJzJNzIxhbX4IPp6F0mZOZ0xmmpiZ0y5lmP+dzHRG0esTIEadSuR5Knp9AuSpU7LUJ0CeOiVLfeI3nDFDayLnE8lSn8zccEZWKFBKQ2TpWeIXSos+B1gWT9mD3efzweVyxbyePI0Ny7O/vx8DAwMxrxdBqyyexrNQ2szd+fg8ZfE0nk4SfsMZs7XGQhRPY8FvOCO6Vlk8dTqd6m6TRu/OB6TniBLbcMZisRi+4YysUKCUhiTSs2hmb00iC6X53flE38zBzB7QnJwcdWeoWFoDgYD60BS9t9bMl1BhYaG61izWzmf8WRqijyqYWZ/4hdKswR4Jt9utnl8meiNEhMbS0NBQzDP0ent7TdtwBpDnHcXyjOcMPX7DGbajp5HI8o5iecZzhh77WxwOB7Kzs3XXFgqrG6K/o5KpT6WlpYZvOCMrFCilIbK82Pl8Y2k18ywNPs908tTMszQAeTxNZKG0mWdpAPJ4arPZUFRUFKQjEuz3OTk5hm84A8jjaW5urtqYjNdTMzacAeTxtKioSN3qOVYniZkbzrB8eR3REGHWg9/vj7k9vNnvUtlGlOI5Q89sT2WEAqU0RJYHJp9vvC92M87SAOTpAeXzjddTM87SAOTyNNFyWlpaavhZGoBcdT/Rcip6feKvMUNrItvDm+2pLOWUP0MvXk9Fr0/8NWZ8/4mcoWd2OU1kjZKZWvkz9EQvpzJCgVIaIstCWT7fWFpF6a0TfQiezzeWVlG+e9GnivD5yuJpOpVTWXTy15itNVadEkWnTJ6mUzmVRavZ330iI0pmauVnPYjuqYxQoJSGJLJQWpQHpui9IIkslBZJazRk0clfI7pWWXTy14iuVRad/DWia5VFJ3+N6Fpl0clfI7pWs3UmsobabK2yeCojFCilIWy4OJ6F0mYPbcc7XcDMhedA8EJptrNRJMzusZHlgcnydTqdcS+UFn1aiyj1KZ6F0qLUKVlGP2RqgIo++hFvfeI3nDG7Tsnyjoqlc2hoSN0R1exyKvo7Kt7NHDwej6kbzgDyvKNkROhAaf369bBYLEH/qqqqzJYlPMkslKYHZnSSWShNnkanuLg4roXS1FsXP/EulBbhLA1ZPGX5er3eqAulvV6vun282Vpl8bS3t1fd/jkcZm84A8jnaaxZD/yGM6ydYDSyeBrviJLZG84A8ngqI0IHSgAwe/ZstLa2qv/27NljtiQpiKdn0e/3q+cXmf1wF70HlF8oHU0rf5aG2T2g8c5VNktnvAul+bM0RC+nZo9+ZGVlIT8/P0hLOFi9N/MsjXjLqdk9oPn5+XEtlGZ/R1ZWFhwOhyHaQpFl9KO4uFhdaxqtk4TpLCgoMGXDGUCedxTLN9YZemZvOAPI845i7yePx6PuuhsOs3UC8ryjZET4QCkzMxNVVVXqPxoujI94ehd6enpMPUsDkKsXJB6t7KWfmZlpylkaQPp5yn5n1lkaQPp6WlJSYtpZGrJ4Gu/28GZvOMPy5rVEwmxPMzMz1QA9Xk/NQhZP4z1Dz2ydfN6ie1pQUKA+H6MF9Gbr5PMW3VMZET5QOnToEGpqajB58mRcc801OHLkiNmSpCCRF3tRURFsNpshukKRqXJTY0l7EvXULMhT7SFPtYc81R7yVHtk8TSZThKzkMVTGck0W0A0Tj/9dPz2t79FQ0MD2tvb8dOf/hRnnnkm9u3bF3G+8tDQEIaGhtSf2RB0IBCIubhZbwKBABRFMUQHPwwbKb+Ojg4Ao8PFZnnDT72KpoENF5eWlka9Tk+PmdZonra3twMY9d8sT/l51dE08KMK8WrV2l/maUdHR8xyaqan8ZZTflpLslpT9ZjV/WiesnJqZt2Pt5yyup9IOY1GMv7G46kI5ZRffK513U+EeDwuLy/Hp59+KrynWr+jtCCSv2VlZTh69GhcnhqhMxJ6vqO0gnlcVlaG9vZ2tLe3R9Rg5HcfCSPfUVpgZHs4Uv7xInSgtGLFCvX/586di6VLl2Lq1Kl45plnsHbt2rD33H///diwYcOYzzs7O6POMTWCQCAAp9MJRVF0nxvMFhQeO3ZMfTCGcvjwYQCjB45GukZv2NQ/r9eLpqamiAsh29raAIxO2YimVU+P2bQG9iIKBxvxNNNTRm9vL1paWpCZGb6as8ZyLE95tPaXreWI5mljYyOA0WkQZnva1dWF9vb2iKOFTJ/Vak1aa6oeJ+Kpw+EwzVP2t3V2dkbVwH6XkZGhidZk/GXrvpqamiJqaGpqUq81y1M2TaijoyOqBtawS6WcRiMej1k5bWxsjKjh6NGj6rVml9NonvIbzrBr9SSSv2y6t+iesndSe3t7RA0jIyNBu/YarZV5zDw9cuRITE/z8vJM97StrS2iBn7DGUVRTH2fGtkeDofb7Y77WqEDpVDy8vIwd+5cHDp0KOI169atCwqiXC4X6urqUF5ebtqaEUYgEFA3BdC7YEycOBEA0N/fj4qKirDXsO0sq6qqIl6jN+Xl5bDZbPD5fLBarRF1sB26TjnllKha9fSYeer1eiNq8Pl8AIDq6mrTPC0pKYHFYoGiKMjMzIyogy3onzZtWtxatfa3rq4OwOgmGJE0sBHimpoa0zxljTqfz4fs7GwUFhaOuUZRFHUee0NDQ9JaU/W4trYWQHRPWd2fMGGCaZ6yxfkejweFhYXIysoac43f71frfiqe8iTj74QJEwAAg4ODETWwjjgzPWW9pH19fSgtLQ27/mxwcFDdcGb69Olhy7IWOmJ5zDwdGhqK6Bdr1NXW1prmaUNDA4DRNSrl5eVhO0n4DWemT5+OnJwcXTVF8rempgZAfJ7W1dWZ5um0adMAjL6DImlgHXkWiwUNDQ2Gr6VkHjNPfT5fRK1sN8yJEyea5ukpp5wCYLSDNJIGFtDZ7XZMnjzZtOUBgLHt4XAkst5ZqkBpaGgIn3zyCT7/+c9HvCYrKyvsC9dqtZq2wwuPxWIxRAt/nkqkvFhD2ayCyigrK0Nrayt6enowadKkMb/nz9KoqKiIqVUvj+PxlD/zwyxP7XY7iouL0dPTg56enrBb6g8PD6vTUuPxlEdLf2Xx1OFwIDc3F16vFz09PWF3inO73WoAkqinoaTisSyeFhcXIyMjQ919kzWcefgNZ8rKyjTTmqi/snjKdAYCAbhcrrBT1NlzPzMzE0VFRbo1lmJ5LIunrNE5NDSEgYGBsDsaMk/z8vLUmQd6E85f2Tx1Op3w+/1h10gzT0tKSkxbQ82vUZLFU6YlnA5+l2OzNvHhMao9HI5E8jQ/cojCHXfcgS1btqCxsREffvghrr76arhcLqxevdpsacIjywJEPv9IWtnDFDDvLA0gvTzlH6ZmnaUBpJen7PPs7GzTztIA5PE0noXSImw4A8jjqc1mU0eIYnlq5oYzLH9eTzhE8DQvL0/tfI3HUzORxdOioqKYZ+iJoJPPX3RPWd7RztATQaeMCB0oHT9+HNdeey2mT5+OlStXwm6344MPPkB9fb3Z0oQnnvM0zD6fhBFLK3+WRrjRQqOI54EpyhkF8TZAzTxLA4jv7AdRHu6xyilfn8xsgMZT90U49wOIXU5lqU/870TRGqlOiaJTlncUf4ZerHIqen0CxKhTGRkZMQ9zFaWcyvKO4s/Qi+cdRcSP0FPvnnvuObMlSEs8lVuEByafvywv9ngemGY/iGJpFeXFLmOjPpanZpdTWV7sQOxyKkt94n8ngtbDhw9L06iX5R11/PhxekdpSHl5Obq6uoR/RyUSfIqg1e12o7OzU10HxiNKfZINoUeUiORhFSHaidKiPNzjHf0QRWdPT486FTAU0bTK4mlXV5e6FiUUEbWGQxad/O9E1yqLTv53omuVRSf/O9G1yqKT351PdK2y6GRrLPlrzUIWT2WDAqU0pbCwMOaJ0qJUGlkqN1sfFQgE1J24QhFFqyyesvwHBwfVnYNCEU2rLJ46nU51F8ZQRNMqi6eRAnp+wxmRtIZDRE/DwW84I7pWWTzt7+9XdxEVXassnvb29qrPBDad0Cxk8VQ2KFBKU6xWa9ABZOEQpdLIUrljLZSm3rrEibVQmj9Lw2ytsnhaXFysrpEK10ni9XrVoNRsrbJ4GmuhtCgbzgDyecqXRx5+w5lwu0waiWye9vb2qtuV84iy4Qwgn6eROklE2XAGkMdT2aBAKY2Jtv5jcHAQHo8n6DqzkGWhLK8hnFaXy6X24Jv9IEpk4wEz4RdKh5urzqY0WCwW03vrZPE0IyMjaicJ+8xut6uLf81Clrofa6E0+8zsDWcAedZ9FRQUqA3LcAG9KBvOAPKUU/4MPf6wVgav08wNZ5gGQPznKXuXDw8Phz2kVBSdvAbRPZUNCpTSmGiLZVmFycjI0OXAwUSQZTMHXkM0T/Py8nQ/cDAWsmw8wGsI93BnOktKSkw/90FGT6OV07Iyc7eHZhoA+eu+iN+96DsJ8tvDy+Kp6OU0MzNTHX2LVffNRpbnaW5urjr6Fu0dZbZOXoPonsoGBUppTLQXpoiNJRmGi+P11GzIU+0hT7WHPNUe8lR7yFPtIU+1RyZPZYICpTRGxsodbQ6waFpDkUUn/7noWmXRyX8uulZZdPKfi65VFp3856JrlUUn/7noWmXRyX8uulZZdIq04YxsUKCUxsg2rcHv94fdTU5ErbJ42t/fj4GBgTG/F1GrLJ729PSEXSgtolZZPO3s7AzbSSKq1lBk0SnShjO8Bpk9FWnDGV6DzJ6KtOEMr0FmT/v6+tQNZ0TQKhMUKKUx9fX1AIADBw6M+R37jF1jJtnZ2aisrAQwVqvX68XRo0cBiKFVFk8LCgpQVFQEYKxWp9OJlpYWAMDEiRONljYGWTwtKytT56p/+umnQb/r7OxUe+tE8HTSpEkAxPe0qqoKdrsdPp8PjY2NQb87fvw4PB4PrFYrJkyYYJLCk8hSTmtra2G1WuF2u3HixImg3x05cgQ+nw92u1195pqJLJ4yDV1dXWN66z/99FMoioLc3FzTdzwE5PP0xIkT6jbwDKazqKjI9A1nAPk8PXr06JidJJnOyspK0zeckQ0KlNKY0047DQCwdevWMQekfvDBBwCA008/3XBd4WBamS7Gzp07MTIygqqqKtTW1pohLQim88MPPxzTA860s2vMxGKxYMmSJQDGerpt2zYoioJJkyahoqLCDHlBRPru+c9E8DQjIwOLFi0CMFbrhx9+CACYMWOG6ZujAPJ4arfbceqppwKI7OncuXNN38oYkMfT3NxczJkzB8BJDxlM54IFC2C32w3XFko8norwjiosLMT06dMBRPZ08eLFpm84A0T2VFEUocppRUUF6uvroSgKtm3bFvQ7XqfZa6iZDiC8p6w8iOBpXV0dKisrMTIygp07dwb9TqT6JBsUKKUxs2fPRl5eHjweDz755BP180AggK1btwIAzjjjDLPkBcF0hL6E2M9nnHGGEA/MU089FVlZWeju7sbhw4fVz/1+P7Zv3w5ALk9FYNGiRcjIyEBLSwuOHz+ufj40NIRdu3YBEEerLJ6yBkZjY2PQNAyv14s9e/YAEEerLJ6yBsaBAweCzlLq6+tTe2tFaYTI4inTsWfPnqAe8I6ODjQ1NQV1+JiNbJ7u2rULw8PD6ufHjx9Ha2trUIeP2cjm6fbt24M6nT/77DP09PQgKysL8+fPN0ueisVikcZTmaBAKY3JzMzE4sWLAQRXmkOHDqGvrw/Z2dmYO3euWfKCYA2MSJVblAaI3W7HggULAARr3bdvH/r7+5Gfn48ZM2aYJS8IWTzNy8tTyyGv9aOPPsLw8DDKysowZcoUs+QFIYunhYWFajnkte7YsQN+vx81NTVCjNAC8nhaUVGByZMnj+kBZ/8/ZcoUYc4nkcXT2tpaVFdXw+/3Y8eOHernTOfMmTOFGKEF5PF06tSpKC0txdDQED766CP1c6Zz3rx5QozQAvJ4OnPmTDgcDng8Huzfv1/9nOlcuHChECO0gDyeygQFSmlOuErD/n/RokWmnyTNWLJkCSwWC5qamtDe3q5+LmLljubpkiVLhJh+AZycCnDgwAF1kwx+qoAsnooy/QI4qXPPnj3o7+8HEDxCK4unIurctWsXhoaGAIwukGcjtCJqlcXT7du3qxuPDA0NYffu3UG/NxuLxSKdp1u3bkUgEAAwulkOG6EVRavFYgmaIs4Q2VN+Kntvby8OHjwIQIzpbMDotGs2simTp4y2tjYcPXoUFotF7Twn4ocCpTQn3DCsiHNVCwoKMHPmTAAntba2tuLYsWOwWq1CVW7mGz9fWURPy8vL1ZEY1pBvampCR0cHbDabOjImAqyciu5pbW0tJkyYgEAgoPaAHzx4EE6nEzk5OcKM0ALRy6lI0y+mTJmCsrIyDA8Pqw35vXv3wuv1oqCgQJgRWkCeuj9z5kwUFBSgv78f+/btA3ByKlZZWRkmT55sssKTyPKOmjt3LrKzs9HX16du5rJ9+3YEAgH1uSAKspTTBQsWIDMzE+3t7eqmTexdNXXqVKF2Z5PlHcU6nY8dO4a2tjYAJ+vWrFmzUFBQYKY8KaFAKc1hFXjv3r3weDwAxOwFAcb2hLD/zp49W4idbxhM5+7duzE4OAhAPk/nz5+P7Oxs03SFwnTu2LFD7QGXzdNFixYhMzPTNF2hhOsBF9HTcD3g/Ait1SrOayq0B1zUEVqr1TqmB5zXKcoILTC2PgUCAXU6o0ie2mw2dW1POE9FItRTn8+nduyIpDUnJ0dd2yObp4ODg+rURpG05ufnY/bs2QDE91QWxHkDEbrA1iIEAgFs374dAwMD+PjjjwGI1asMjO1ZFLVyT548GeXl5fD5fNi9ezdcLpc6b1k0rZE8Fe27nz59OgoLC+H1erF37150dXWpm2WIMv2CEdpbK6qnc+fORU5ODlwuFw4ePKhulmG1WoVZzM2QpZwuWLAANpsNnZ2daGpqQmNjI7q6uoLWLopCpIBeNE8XL14Mq9WK5uZmtLS04MCBA3C5XEG794mCLO8o9sz87LPP0N3djb1792JgYCBo9z5RkKXus+943759cLvd2LVrF3w+HyoqKtTjGERBlneULFCgNA7gX5j8dtt1dXUmKwuG7wH3+/3CvoRC59Vv374diqKgvr4eVVVVJqsLJrQHXFRPQ3vA2fSL6dOno7i42ExpY4jUABXN09DNXJjOOXPmwOFwmCltDLJ4mp2drW5nznvKdsMUCVk8dTgcQT3gTOfixYuFGqEF5PG0pKQEDQ0NAEbfp/x6T5FGaAF53lFVVVWYOHEiFEXB9u3bhR2hBYI99fv9Qo7QyoRYNYbQBb7Hhp9TK1rlnj17NnJzc+F2u7Fv3z61covYC8L32Ig4T5lx6qmnwm63o6urCwcOHFDPVhBRKz8HXGRPWQ/4iRMncOjQIXWEVkSt4cqpiPWJ9YAfPnwYhw8fVo8zkMVTkXXu378fhw8fxpEjRwBAmO22eSK9o0SDafroo49w6NAhnDhxQqjttnlkK6c7duzAgQMH0N3dDbvdLsR226HI8o5iOrdt26aOgOXl5akdEkRiUKA0DuB7F0TtrQGCe8CffvppeDweOBwOdZMHkZDF06ysLLUH/Ne//jWGhoZQUlKCU045xVxhYZDFU34788cffxx+vx/V1dXCbLfNI4unRUVF6pSgxx57TKgDkUORxdPKykpMmjQJiqLgscceAzB6IHJRUZG5wsIgi6d1dXWoqqqC3+/H448/DmB0imteXp7JysYii6fTpk1DcXExhoaG8Otf/xrA6BRX0UZoAXk8nTVrlrqd+dNPPw1AnAORZYQCpXEAf6Dna6+9BkDMyg2c1PXkk08CEGu7bR7WK9vY2IjNmzcDkMdTkbbb5mE6P/nkE7z33ntBn4lGqKcijtACwduZiz79IpynIsJ07dy5Uz0QWXStsni6detW7N27N+gzkeCnXcvi6bvvvivcgcg8/GYusnj61ltvCXcgMk9GRoba6Sy6pzIgRaD0i1/8ApMnT0Z2djYWLVqEd955x2xJUpGbm6v2gLtcLmErN3ByyNjlcgEQt3IXFRWpI10ulwuZmZlYuHChyarCE+qpiFOvgNHtzNm2xR6PB9nZ2Zg3b57JqsLDyqXontbW1qKmpgZ+vx9er1eoA5FDkaWcnnLKKSgpKcHw8DCGh4dRWlqKqVOnmi0rLLKUU3agp9frhd/vx4QJE4QcoQXkeUfNmzcP2dnZ6m63Ih2IHIosdX/hwoXIzMxUdYp0IHIostR9GRA+UHr++edx++2346677sKuXbvw+c9/HitWrMCxY8fMliYVfCURbbttntCXjsiVm9c6f/585OTkmKgmMqGeivpiB4K/b5EORA4ltFyK6infAw6MjiaKOEILyFNOQz0VdTQRkKecZmRkBO1uKapOQJ53lN1uD+q8k8lTUbXy25kD4uoE5Kn7MiB8oPTQQw/h61//Or7xjW9g5syZePjhh1FXV6fODybiI/TFLioTJkwIOrhPZK2yeMoO9GSItt02jyyezpgxQz24T7QDkUORxVN2oCcA4Q5EDkUWT9l25gCEOxA5FFk8Xbx4sRoYi7jdNo8snvLvJNEORA5FFk95bWxmAZEcYu29GcLw8DB27NiBH/7wh0GfX3jhheoahlCGhoYwNDSk/syGHQOBgHroolkEAgEoimKKDn6q3ZIlS0z3IhqnnXYaXnrpJUycOBEVFRUJaTXSY5k8XbJkCf76179i2rRpKCoqSlqr3v7K5ukbb7yh7taolVatPZbFU7Z72Lvvvov58+fDbrfrolULf2XxlO0etn37dixatAhWq9UQrcl4LIunbPewvXv3qh0kRmuN119ZPC0uLsYpp5yCzz77DKeddpp6mLOZRPJYFk8rKytRV1eH5uZmnHbaacLpNLM9zPKPF6EDpa6uLvj9flRWVgZ9XllZiba2trD33H///diwYcOYzzs7OzE4OKiLzngJBAJwOp1QFMXwswyKi4tRVlaGrq4uzJw5Ex0dHYbmnwgLFizASy+9hCVLliSs00iPKysrUVhYCLfbjRkzZgjt6cKFC/HXv/41KU959PZ3woQJyMvLw+DgIBoaGoT39I033sDixYs11am1x/X19cjOzobf78cpp5wivKfvvvsuFi1apJtOLfydMmUK7HY7LBYLJk+eLLSnixYtwvbt27Fw4ULDdCbj8SmnnAKbzYaMjAxMnDhRaE8XL16MvXv3GuopT7z+NjQ0ICMjA9nZ2aipqRHa0yVLluCzzz4zzdNQInk8c+ZMWCwWFBYWoqKiQgitkViyZAmam5uxYMEC4XSa2R4GALfbHfe1FsXssD0KLS0tmDBhAt577z0sXbpU/fzee+/F7373O3UnF55wI0p1dXXo7e1Vp8qYRSAQQGdnJ8rLy00pGNu2bUNraysuv/xyw/NOBJ/Ph6eeegpXXHHFmCA5FkZ7/MEHH6CnpweXXHKJ7nmlwtDQEJ5++mmsXLkypQW9Rvj77rvvwuPx4KKLLtIlfa0YGBjAM888g1WrVml6KK4eHr/99tsYHh7GBRdcoEl6euHxePC73/0O119/vW7Pa638ffPNN2GxWHDuuedqqE57XC4X/vCHP+CrX/2qYQcNJ+vx66+/DrvdjrPPPltHdanT09ODP/7xj1i9erUpa1MT8fdvf/sb8vPzcdZZZxmkLjk6Ozvx4osvYs2aNUJsDR7N41dffRWlpaXCrk9jtLW14ZVXXsHXvvY14db7mt0edrlcKC4uhtPpjPmuETpQGh4eRm5uLv70pz/hqquuUj+/7bbbsHv3bmzZsiVmGi6XC4WFhXGZoTeBQAAdHR2oqKgQ7nTsdIE81hfyV3/IY30hf/WHPNYX8ld/yGN9MdvfRGIDob99u92ORYsWYdOmTUGfb9q0CWeeeaZJqgiCIAiCIAiCSHeEXqMEAGvXrsVXv/pVLF68GEuXLsWvfvUrHDt2DDfddJPZ0giCIAiCIAiCSFOED5RWrVqF7u5u/OQnP0FrayvmzJmDv/zlL6ivrzdbGkEQBEEQBEEQaYrwgRIA3Hzzzbj55pvNlkEQBEEQBEEQxDhB6DVKBEEQBEEQBEEQZkCBEkEQBEEQBEEQRAgUKBEEQRAEQRAEQYRAgRJBEARBEARBEEQIFCgRBEEQBEEQBEGEIMWud6mgKAqA0VN4zSYQCMDtdiM7O5tOetYJ8lhfyF/9IY/1hfzVH/JYX8hf/SGP9cVsf1lMwGKEaKR9oOR2uwEAdXV1JishCIIgCIIgCEIE3G43CgsLo15jUeIJpyQmEAigpaUF+fn5sFgspmpxuVyoq6tDc3MzCgoKTNWSrpDH+kL+6g95rC/kr/6Qx/pC/uoPeawvZvurKArcbjdqampijmil/YiS1WpFbW2t2TKCKCgooIqnM+SxvpC/+kMe6wv5qz/ksb6Qv/pDHuuLmf7GGkli0MRLgiAIgiAIgiCIEChQIgiCIAiCIAiCCIECJQPJysrCPffcg6ysLLOlpC3ksb6Qv/pDHusL+as/5LG+kL/6Qx7ri0z+pv1mDgRBEARBEARBEIlCI0oEQRAEQRAEQRAhUKBEEARBEARBEAQRAgVKBEEQBEEQBEEQIVCgRBAEQRAEQRAEEQIFSgbyi1/8ApMnT0Z2djYWLVqEd955x2xJUnL//fdjyZIlyM/PR0VFBa688kocPHgw6Jo1a9bAYrEE/TvjjDNMUiwX69evH+NdVVWV+ntFUbB+/XrU1NQgJycHy5Ytw759+0xULB+TJk0a47HFYsEtt9wCgMpvMrz99tu47LLLUFNTA4vFgpdffjno9/GU26GhIXz3u99FWVkZ8vLycPnll+P48eMG/hXiEs1fn8+HH/zgB5g7dy7y8vJQU1ODG264AS0tLUFpLFu2bEy5vuaaawz+S8QlVhmO57lAZTgysfwN90y2WCx48MEH1WuoDEcmnraZjM9hCpQM4vnnn8ftt9+Ou+66C7t27cLnP/95rFixAseOHTNbmnRs2bIFt9xyCz744ANs2rQJIyMjuPDCC9Hf3x903cUXX4zW1lb131/+8heTFMvH7Nmzg7zbs2eP+ruNGzfioYcewqOPPopt27ahqqoKy5cvh9vtNlGxXGzbti3I302bNgEAvvSlL6nXUPlNjP7+fsyfPx+PPvpo2N/HU25vv/12vPTSS3juuefwj3/8Ax6PB5deein8fr9Rf4awRPPX6/Vi586duPvuu7Fz5068+OKL+PTTT3H55ZePufab3/xmULl+4oknjJAvBbHKMBD7uUBlODKx/OV9bW1txW9+8xtYLBZ88YtfDLqOynB44mmbSfkcVghDOO2005Sbbrop6LMZM2YoP/zhD01SlD50dHQoAJQtW7aon61evVq54oorzBMlMffcc48yf/78sL8LBAJKVVWV8sADD6ifDQ4OKoWFhcovf/lLgxSmH7fddpsydepUJRAIKIpC5TdVACgvvfSS+nM85bavr0+x2WzKc889p15z4sQJxWq1Kn/7298M0y4Dof6GY+vWrQoA5ejRo+pn55xzjnLbbbfpKy5NCOdxrOcCleH4iacMX3HFFcp5550X9BmV4fgJbZvJ+hymESUDGB4exo4dO3DhhRcGfX7hhRfivffeM0lV+uB0OgEAJSUlQZ9v3rwZFRUVaGhowDe/+U10dHSYIU9KDh06hJqaGkyePBnXXHMNjhw5AgBobGxEW1tbUFnOysrCOeecQ2U5SYaHh/H73/8eN954IywWi/o5lV/tiKfc7tixAz6fL+iampoazJkzh8p2EjidTlgsFhQVFQV9/oc//AFlZWWYPXs27rjjDhqJTpBozwUqw9rR3t6OV199FV//+tfH/I7KcHyEts1kfQ5nmpLrOKOrqwt+vx+VlZVBn1dWVqKtrc0kVemBoihYu3YtPve5z2HOnDnq5ytWrMCXvvQl1NfXo7GxEXfffTfOO+887NixQ4qToM3k9NNPx29/+1s0NDSgvb0dP/3pT3HmmWdi3759ankNV5aPHj1qhlzpefnll9HX14c1a9aon1H51ZZ4ym1bWxvsdjuKi4vHXEPP6cQYHBzED3/4Q1x33XUoKChQP7/++usxefJkVFVVYe/evVi3bh0++ugjdeopEZ1YzwUqw9rxzDPPID8/HytXrgz6nMpwfIRrm8n6HKZAyUD43mJgtCCFfkYkxq233oqPP/4Y//jHP4I+X7Vqlfr/c+bMweLFi1FfX49XX311zIOPCGbFihXq/8+dOxdLly7F1KlT8cwzz6gLh6ksa8eTTz6JFStWoKamRv2Myq8+JFNuqWwnhs/nwzXXXINAIIBf/OIXQb/75je/qf7/nDlzMG3aNCxevBg7d+7EwoULjZYqHck+F6gMJ85vfvMbXH/99cjOzg76nMpwfERqmwHyPYdp6p0BlJWVISMjY0w03NHRMSayJuLnu9/9Ll555RW89dZbqK2tjXptdXU16uvrcejQIYPUpQ95eXmYO3cuDh06pO5+R2VZG44ePYrXX38d3/jGN6JeR+U3NeIpt1VVVRgeHkZvb2/Ea4jo+Hw+fPnLX0ZjYyM2bdoUNJoUjoULF8Jms1G5TpLQ5wKVYW145513cPDgwZjPZYDKcDgitc1kfQ5ToGQAdrsdixYtGjM0u2nTJpx55pkmqZIXRVFw66234sUXX8Sbb76JyZMnx7ynu7sbzc3NqK6uNkBhejE0NIRPPvkE1dXV6pQDviwPDw9jy5YtVJaT4KmnnkJFRQW+8IUvRL2Oym9qxFNuFy1aBJvNFnRNa2sr9u7dS2U7DliQdOjQIbz++usoLS2Nec++ffvg8/moXCdJ6HOByrA2PPnkk1i0aBHmz58f81oqwyeJ1TaT9jlsyhYS45DnnntOsdlsypNPPqns379fuf3225W8vDylqanJbGnS8Z3vfEcpLCxUNm/erLS2tqr/vF6voiiK4na7lX/6p39S3nvvPaWxsVF56623lKVLlyoTJkxQXC6XyerF55/+6Z+UzZs3K0eOHFE++OAD5dJLL1Xy8/PVsvrAAw8ohYWFyosvvqjs2bNHufbaa5Xq6mryNkH8fr8yceJE5Qc/+EHQ51R+k8Ptdiu7du1Sdu3apQBQHnroIWXXrl3qrmvxlNubbrpJqa2tVV5//XVl586dynnnnafMnz9fGRkZMevPEoZo/vp8PuXyyy9Xamtrld27dwc9l4eGhhRFUZTPPvtM2bBhg7Jt2zalsbFRefXVV5UZM2YoCxYsIH//j2gex/tcoDIcmVjPCEVRFKfTqeTm5iqPP/74mPupDEcnVttMUeR8DlOgZCCPPfaYUl9fr9jtdmXhwoVB21kT8QMg7L+nnnpKURRF8Xq9yoUXXqiUl5crNptNmThxorJ69Wrl2LFj5gqXhFWrVinV1dWKzWZTampqlJUrVyr79u1Tfx8IBJR77rlHqaqqUrKyspSzzz5b2bNnj4mK5eS1115TACgHDx4M+pzKb3K89dZbYZ8Lq1evVhQlvnI7MDCg3HrrrUpJSYmSk5OjXHrppeT7/xHN38bGxojP5bfeektRFEU5duyYcvbZZyslJSWK3W5Xpk6dqnzve99Turu7zf3DBCKax/E+F6gMRybWM0JRFOWJJ55QcnJylL6+vjH3UxmOTqy2maLI+Ry2KIqi6DRYRRAEQRAEQRAEISW0RokgCIIgCIIgCCIECpQIgiAIgiAIgiBCoECJIAiCIAiCIAgiBAqUCIIgCIIgCIIgQqBAiSAIgiAIgiAIIgQKlAiCIAiCIAiCIEKgQIkgCIIgCIIgCCIECpQIgiCItGD9+vU49dRTzZZBEARBpAl04CxBEAQhPBaLJervV69ejUcffRRDQ0MoLS01SBVBEASRzlCgRBAEQQhPW1ub+v/PP/88/vmf/xkHDx5UP8vJyUFhYaEZ0giCIIg0habeEQRBEMJTVVWl/issLITFYhnzWejUuzVr1uDKK6/Efffdh8rKShQVFWHDhg0YGRnB97//fZSUlKC2tha/+c1vgvI6ceIEVq1aheLiYpSWluKKK65AU1OTsX8wQRAEYToUKBEEQRBpy5tvvomWlha8/fbbeOihh7B+/XpceumlKC4uxocffoibbroJN910E5qbmwEAXq8X5557LhwOB95++2384x//gMPhwMUXX4zh4WGT/xqCIAjCSChQIgiCINKWkpIS/Md//AemT5+OG2+8EdOnT4fX68WPfvQjTJs2DevWrYPdbse7774LAHjuuedgtVrxn//5n5g7dy5mzpyJp556CseOHcPmzZvN/WMIgiAIQ8k0WwBBEARB6MXs2bNhtZ7sE6ysrMScOXPUnzMyMlBaWoqOjg4AwI4dO/DZZ58hPz8/KJ3BwUEcPnzYGNEEQRCEEFCgRBAEQaQtNpst6GeLxRL2s0AgAAAIBAJYtGgR/vCHP4xJq7y8XD+hBEEQhHBQoEQQBEEQ/8fChQvx/PPPo6KiAgUFBWbLIQiCIEyE1igRBEEQxP9x/fXXo6ysDFdccQXeeecdNDY2YsuWLbjttttw/Phxs+URBEEQBkKBEkEQBEH8H7m5uXj77bcxceJErFy5EjNnzsSNN96IgYEBGmEiCIIYZ9CBswRBEARBEARBECHQiBJBEARBEARBEEQIFCgRBEEQBEEQBEGEQIESQRAEQRAEQRBECBQoEQRBEARBEARBhECBEkEQBEEQBEEQRAgUKBEEQRAEQRAEQYRAgRJBEARBEARBEEQIFCgRBEEQBEEQBEGEQIESQRAEQRAEQRBECBQoEQRBEARBEARBhECBEkEQBEEQBEEQRAgUKBEEQRAEQRAEQYTw/wGWQspGWtnLdAAAAABJRU5ErkJggg==", "text/plain": [ "<Figure size 1000x350 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run_sequence_plot(time, seasonality, title=\"Time series with seasonality\");" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "- Is this time series stationary?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- The mean of a periodic signal over a complete cycle always assumes the same value (`20` in our case).\n", "- However, over an half-cycle or any period not equal to an integer multiple of the full cycle, the mean changes (is different from `20`). \n", "- This violates condition #1.\n", "\n", "<img src=\"media/periodic_mean.png\" style=\"width: 80%; display: block; margin: auto;\">" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "#### Time series with trend and seasonality" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "slideshow": { "slide_type": "-" }, "tags": [] }, "outputs": [], "source": [ "trend_seasonality = trend + seasonality + stationary" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "slideshow": { "slide_type": "fragment" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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WY2rQoAHmzZuH69evK53e5+vrq3JfxYoVw9ChQ3HixAmcO3cOgGqfG5lMlu6Iy+HDh/Hq1Sv89NNPX1zna5+lGjVqYO/evfjjjz8U77dcLsfWrVtRpEgR/Pzzzypt25dyDwCrVq1SqZ/PMjqSWqhQIXTq1AnLly9HcnIyWrVqhWLFimVpLCLSHBZSREQA8uXLh6VLl8LNzQ0fPnxAx44dYWVlhbdv3+L69et4+/YtVqxY8dX1W7VqBXt7e1SrVg2WlpZ4/vw5Fi9ejOLFi6N06dIAgCVLlqBOnTqoW7cuBg0ahBIlSiAmJgaPHj3CoUOHVJoZ7N9WrVqF5s2bo2nTpujduzcKFy6MDx8+4O7du7hy5Qp27doFAKhRowZcXFxQqVIlFCxYEHfv3sWWLVtQq1atbxZRwKfrpNLS0nDixAnF1OHApwJr6tSpkMlkaNiwYYaxVqxYEadOncKhQ4dQqFAh5M+fP1Oz2WWmXwCYO3cumjdvDm1t7QwLJHW/HwULFsTo0aMxc+ZM9OvXD506dcLLly/h5eWVqVPpGjduDD09PXTr1g1jx45FYmIiVqxYgcjISJXi+DcPDw+sX78eLVu2xMyZMxWz9n3rCORnUVFRaNCgAbp3746yZcsif/78CAkJwdGjRxVHP1X53Li4uGDjxo0oW7YsKlWqhMuXL2P+/PkoUqSI0riZ+SzNnj0bjRs3RoMGDTB69Gjo6elh+fLluHXrFrZv356po7n/5ujoiIIFC2LgwIGYOnUqdHV1sW3bNly/fl2lfj7Lnz8/ihcvjgMHDsDZ2RlmZmawsLBQKqZHjBiBGjVqAAA2bNiQpXGISMM0O9cFEdHXZWXWviFDhigte/r0qQAg5s+fr7T880xsu3btUloeFBQkWrZsKczMzISurq4oXLiwaNmyZbp2/7VgwQLh6OgoLCwshJ6enihWrJhwd3cXz549SxdP3759ReHChYWurq6wtLQUjo6OYubMmRnG9u/X/jvb2vXr10Xnzp2FlZWV0NXVFTY2NqJhw4Zi5cqVijbjx48X1apVEwULFhT6+vqiZMmS4vfffxfv3r375rYJ8WkWMwsLCwFAvHr1SrH884x0VatWTbfOl96ja9euidq1awsjIyOlmew+z2QWEhKSqe39r6SkJNGvXz9haWkpZDKZACCePn0qhPjyfvFZdt6Pz/vWhg0blPI0e/ZsUbRoUaGnpycqVaokDh06lG5Wt685dOiQqFy5sjAwMBCFCxcWY8aMEUeOHEmXg/r164sKFSqkW/9LOb9z545o3LixMDAwEGZmZsLd3V0cOHAgw7wmJiaKgQMHikqVKgkTExNhaGgoypQpI6ZOnSri4uKU2mbmcxMZGSnc3d2FlZWVMDIyEnXq1BFnzpxJl5vMfpbOnDkjGjZsKIyNjYWhoaGoWbOmOHTokFIbVfar4OBgUatWLWFkZCQsLS1Fv379xJUrV9K9x5mZtU8IIQICAkSVKlWEvr6+APDF2SpLlCghypUrl245EeUOMiH+/86JRERERPRd3LhxA5UrV8ayZcsUE8MQUe7CQoqIiIjoO3n8+DGeP3+OCRMm4MWLF3j06FGGp9YSUc7E6c+JiIiIvpMZM2agcePGiI2Nxa5du1hEEeViPCJFRERERESkIh6RIiIiIiIiUhELKSIiIiIiIhVpvJB69eoVevToAXNzcxgZGeGXX37B5cuXFa8LIeDl5QVbW1sYGhrCyckJt2/fVuojKSkJw4YNg4WFBYyNjdG6dWuEhoZ+700hIiIiIqIfhEZvyBsZGYnatWujQYMGOHLkCKysrPD48WMUKFBA0WbevHlYuHAhNm7ciJ9//hkzZ85E48aNcf/+feTPnx/ApxsOHjp0CH5+fjA3N8eoUaPg4uKCy5cvQ1tbO8M45HI5Xr9+jfz586t8Ez8iIiIiIso7hBCIiYmBra0ttLS+cdxJc7ewEmLcuHGiTp06X31dLpcLGxsbMWfOHMWyxMREYWpqqrjJ5MePH4Wurq7w8/NTtHn16pXQ0tISR48ezVQcL1++FAD44IMPPvjggw8++OCDDz4EAPHy5ctv1hAaPSJ18OBBNG3aFJ06dUJQUBAKFy6MwYMHo3///gCAp0+fIjw8HE2aNFGso6+vj/r16yM4OBgDBgzA5cuXkZKSotTG1tYW9vb2CA4ORtOmTTOM4/ORrZcvX8LExETNW6kauVyOt2/fwtLS8tsVMGUZcywt5ld6zLG0mF/pMcfSYn6lxxxLS9P5jY6ORtGiRRU1wtdotJB68uQJVqxYgZEjR2LChAm4dOkShg8fDn19ffTq1Qvh4eEAAGtra6X1rK2t8fz5cwBAeHg49PT0ULBgwXRtPq//X0lJSUhKSlI8j4mJAQDky5cP+fLlU9v2ZYVcLkdCQgLy5cvHD6ZEmGNpMb/SY46lxfxKjzmWFvMrPeZYWprOr1wuB4AML/nRaCEll8tRrVo1eHt7AwCqVKmC27dvY8WKFejVq5ei3X83QgiR4YZ9q83s2bMxbdq0dMvfvn2LxMREVTdDreRyOaKioiCE4AdTIsyxtJhf6THH0mJ+pcccS4v5lR5zLC1N5/fzQZaMaLSQKlSoEMqXL6+0rFy5ctizZw8AwMbGBsCno06FChVStImIiFAcpbKxsUFycjIiIyOVjkpFRETA0dHxi+N6enpi5MiRiuefD99ZWlrmiFP7ZDIZDxVLiDmWFvMrPeZYWsyv9JhjaTG/0mOOpaXp/BoYGGSqnUYLqdq1a+P+/ftKyx48eIDixYsDAOzs7GBjYwN/f39UqVIFAJCcnIygoCDMnTsXAODg4ABdXV34+/ujc+fOAICwsDDcunUL8+bN++K4+vr60NfXT7dcS0srR3wYZDJZjoklr2KOpcX8So85lhbzKz3mWFrMr/SYY2lpMr+ZHVOjhdTvv/8OR0dHeHt7o3Pnzrh06RJWr16N1atXA/iUQA8PD3h7e6N06dIoXbo0vL29YWRkhO7duwMATE1N4e7ujlGjRsHc3BxmZmYYPXo0KlasiEaNGmly84iIiIiIKI/SaCH166+/Yt++ffD09MT06dNhZ2eHxYsXw9XVVdFm7NixSEhIwODBgxEZGYkaNWrg+PHjSrNoLFq0CDo6OujcuTMSEhLg7OyMjRs3ZuoeUkRERERERKqSCSGEpoPQtOjoaJiamiIqKipHXCMVEREBKysrHiqWCHMsLeZXesyxtJhf6THH0mJ+pcccS0vT+c1sbcB3noiIiIiISEUspIiIiIiIiFSk0WukiIiIiIgob0lOTsbly5dx5swZmJiYwM3NDYaGhpoOS+14RIqIiIiIiLJFLpdjz549aNy4MQoUKABHR0eMGzcOgwYNQrly5eDn54e8NjUDCykiIiIiIsoSIQT27duHKlWqoGPHjggICEBCQgLMzc3Rtm1bFClSBM+fP0e3bt3g6OiI8+fPazpktWEhRUREREREKktKSkKDBg3Qvn173LhxA/nz58ekSZNw69YtREREYN++fbh//z5mzJgBY2NjXLhwAY6OjujatSuePXum6fCzjYUUERERERGpbPHixQgKCoKRkREmTJiAZ8+eYcaMGahQoYJi2nIjIyNMmjQJDx8+hLu7O2QyGXbs2IGyZcti8uTJkMvlGt6KrGMhRUREREREKgkNDcWMGTMAACtWrMCsWbNgZmb21faFChXC2rVrceXKFTRo0ABJSUmYOXMmPDw8cu21UyykiIiIiIhIJaNHj0ZcXBxq166Nnj17Znq9X375BSdOnMD69esBAEuXLsW8efOkClNSLKSIiIiIiCjTAgMDsWPHDmhpacHHxwcymUyl9WUyGfr06YNFixYBAMaPH49NmzZJEaqkWEgREREREVGmpKSkYOjQoQCAQYMG4ZdffslyXx4eHhgzZgwAwN3dHUeOHFFHiN8NCykiIiIiIsqUhQsX4s6dO7CwsFBcI5Udc+bMQc+ePZGWlobBgwcjOTlZDVF+HzqaDoCIiIiIiHK+c+fOYdKkSQCAefPmoWDBgtnuU0tLC+vWrYOBgQHGjBkDPT29XDOTHwspIiIiIiL6prdv36JLly5ITU1Ft27d0Lt3b7X1rauri9WrV6utv++Fp/YREREREdFXpaWlwdXVFa9evULZsmWxevVqlSeYyItYSBERERER0VfNmDED/v7+MDIywu7du5EvXz5Nh5QjsJAiIiIiIqIvOnfuHKZPnw4AWLVqFSpUqKDhiHIOFlJERERERLnErl27UKdOHezdu1fysRISEtC3b18IIdC7d2/06NFD8jFzExZSREREREQ5XFxcHNzd3dG5c2ecO3cOXbt2xYkTJyQdc8qUKXjw4AFsbW0VN8+l/2EhRURERESUQ8nlcpw5cwZVq1bF+vXrIZPJULlyZaSkpKBdu3a4fv26JONevHgRCxcuBPDplL4CBQpIMk5uxkKKiIiIiCgHSUtLw44dO9CrVy8UKlQI9erVw4MHD1C4cGGcPHkSFy9ehJOTE2JiYtCiRQu8ePFCreMnJiaiT58+kMvl6NGjB1xcXNTaf17BQoqIiIiIKAcZMGAAunbtii1btiAiIgL58uWDm5sbbty4AScnJ+jr62Pfvn2wt7fH69ev0bRpUzx58kRt48+cORN3796FtbU1lixZorZ+8xoWUkREREREOcS+ffuwbt06yGQyjBo1CoGBgXj//j02btwIMzMzRbsCBQrgyJEjKFKkCO7du4dq1arh77//zvb49+7dw7x58wAAy5cvVxqTlLGQIiIiIiLKAcLDw/Hbb78BAMaMGYM//vgDTk5O0NPT+2L7IkWK4Pz586hRowYiIyPh4uKCqVOnIi0tLUvjCyEwZMgQpKSkwMXFBe3atcvytvwIWEgREREREWmYEAL9+/fHu3fvUKlSJcW9mzJSpEgRBAUFYfDgwRBCYPr06XBycsLt27dVjmHHjh04efIkDAwM8Oeff0Imk6ncx4+EhRQRERERkYatXbsWf/31F/T09LB161bo6+tnel19fX0sW7YMmzZtgpGREc6ePYtffvkF48ePR1xcXKb6iI6OxsiRIwEAEyZMgJ2dXZa240fCQoqIiIiISIPu3buH33//HQDg7e2NihUrZqmfXr164c6dO2jTpg1SU1Mxd+5c2Nvb49KlS+naxsbG4uzZs7h48SKuX7+OcePGISwsDKVLl8aYMWOytT0/ChZSREREREQakpCQgM6dOyMuLg4NGzZUFFRZVbx4cezfvx8HDhxAsWLF8OzZM9SpUwfLli2DEAJpaWlYu3YtSpYsibp166JmzZr45ZdfsHLlSgCAj48PDAwM1LFpeZ6OpgMgIiIiIvpRjRgxAjdv3oSVlRW2bdsGLS31HOdo3bo16tevj759+2Lv3r0YOnQoTp48iWfPnuHKlSsAACsrKxgZGSExMRHJyclwdXVFkyZN1DL+j4CFFBERERGRBvj6+mLNmjWQyWTYtm0bbGxs1Nq/qakpdu/ejcWLF2Ps2LHYu3evYvnUqVMxdOhQ6OrqqnXMHwkLKSIiIiKi7+zBgwcYMGAAAGDSpElo1KiRJOPIZDL8/vvvqF69OkaOHImqVati2rRpsLKykmS8HwkLKSIiIiL6IcnlcoSGhuLhw4d49OgR7OzsvsupbampqXB1dUVsbCycnJwwdepUycesXbs2Ll68KPk4PxIWUkRERET0Q3n79i28vb2xZs2adNODjx8/Ht7e3pLeQ+mPP/7AP//8A1NTU2zduhXa2tqSjUXS0eisfV5eXpDJZEqPf58bKoSAl5cXbG1tYWho+MWbiyUlJWHYsGGwsLCAsbExWrdujdDQ0O+9KURERESUw0VHR2Pq1KkoWbIkFi9ejLi4OOjq6qJMmTJo0KABAGDOnDkYNmwY5HK5JDHcvn1bcQRqyZIlKFy4sCTjkPQ0Pv15hQoVEBYWpnjcvHlT8dq8efOwcOFC+Pj4ICQkBDY2NmjcuDFiYmIUbTw8PLBv3z74+fnh7NmziI2NhYuLC9LS0jSxOURERESUA71//x6VK1fG9OnTERsbCwcHBxw9ehTx8fG4d+8eTp48iVWrVkEmk2HZsmXo06cPUlNT1RpDamoqevfujeTkZLRs2RK9evVSa//0fWn81D4dHZ0vzlAihMDixYsxceJEtG/fHgCwadMmWFtbw9fXFwMGDEBUVBTWrVuHLVu2KC7Q27p1K4oWLYqAgAA0bdr0u24LEREREeU8Qgj069cPz549Q9GiRbFw4UJ06NAh3el7v/32G4yNjeHm5obNmzcjISEB27ZtU9vMdv8+pe9z0Ua5l8aPSD18+BC2traws7ND165d8eTJEwDA06dPER4ernTBn76+PurXr4/g4GAAwOXLl5GSkqLUxtbWFvb29oo2RERERPRjW716Nfbv3w9dXV0cOHAAHTt2/GoR4+rqit27d0NXVxe7du2Cq6urWo5MXb9+naf05TEaPSJVo0YNbN68GT///DPevHmDmTNnwtHREbdv30Z4eDgAwNraWmkda2trPH/+HAAQHh4OPT09FCxYMF2bz+t/SVJSEpKSkhTPo6OjAXyauUWq82EzSy6XQwih8TjyMuZYWsyv9JhjaTG/0mOOpcX8Krtz5w5+//13AMDs2bNRuXLlDHPTunVr7N69Gx07dsSuXbsAfDrrSUfn009nVXMcFxeHrl27Ijk5GS4uLujRowffn2/Q9D6c2XE1Wkg1b95c8e+KFSuiVq1aKFWqFDZt2oSaNWsCQLq/FgghMjwMmlGb2bNnY9q0aemWv337FomJiapsgtrJ5XJERUVBCKG2O1uTMuZYWsyv9JhjaTG/0mOOpcX8/k9iYiK6du2KhIQE1K9fH926dUNERESm1q1evTrWrVsHd3d37Nq1C/Hx8Zg9ezYsLS1VzvGoUaNw7949WFtbY86cOXj79m12Ny1P0/Q+/O/5GL5F49dI/ZuxsTEqVqyIhw8fom3btgA+HXUqVKiQok1ERITiKJWNjQ2Sk5MRGRmpdFQqIiICjo6OXx3H09MTI0eOVDyPjo5G0aJFYWlpCRMTEzVvlWrkcjlkMhksLS1/+C8/qTDH0mJ+pcccS4v5lR5zLC3m939GjhyJ27dvw9LSEr6+vl+8Lv9bXF1dYWpqio4dO+Lw4cM4ceIE+vbti5EjR6JAgQKZyvHOnTvh6+sLmUyGrVu3oly5ctnZpB+CpvdhAwODTLXLUYVUUlIS7t69i7p168LOzg42Njbw9/dHlSpVAADJyckICgrC3LlzAQAODg7Q1dWFv78/OnfuDAAICwvDrVu3MG/evK+Oo6+vD319/XTLtbS0csQXjkwmyzGx5FXMsbSYX+kxx9JifqXHHEuL+QWOHDmCJUuWAAA2bNgAW1vbLPXTunVrBAQEYNy4cbhw4QKWL1+O1atXY9iwYZg/f/43c/zs2TMMHDgQwKc/5H+eHI0ypsl9OLNjavTTNXr0aAQFBeHp06e4ePEiOnbsiOjoaLi5uUEmk8HDwwPe3t7Yt28fbt26hd69e8PIyAjdu3cHAJiamsLd3R2jRo3CiRMncPXqVfTo0QMVK1bkjkpERET0g3rz5g169+4NABg2bBhatmyZrf7q1auH4OBgBAYGonHjxkhNTcWiRYswZMiQr15PExwcjPr16yMqKgo1a9aEl5dXtmKgnEejR6RCQ0PRrVs3vHv3DpaWlqhZsyYuXLiA4sWLAwDGjh2LhIQEDB48GJGRkahRowaOHz+O/PnzK/pYtGgRdHR00LlzZyQkJMDZ2RkbN27kHaKJiIiIfkByuRy9e/dGREQE7O3tv3mWkipkMhmcnJzg5OSEVatWYdCgQVi1ahViYmKwceNGxRTpcrkcc+fOxeTJk5GWloZSpUrBz89PbVOoU84hE0IITQehadHR0TA1NUVUVFSOuEYqIiICVlZWP/TheCkxx9JifqXHHEuL+ZUecyytHz2/S5YsgYeHBwwMDPDPP/+gQoUKah9DLpcrTu9LTU1FvXr1ULp0aSQkJODhw4cICQkBAHTv3h0rVqzQ+O/L3EbT+3Bma4McdY0UEREREVFWhYaGYty4cQCAhQsXSlJEfda2bVsULlwYnTt3xunTp3H69GnFa4aGhvDx8UGfPn140908jIUUEREREeUJPj4+SEpKQp06dRSTPEipZcuWOH/+PPbv3w89PT0YGRnByMgIjRo1QsmSJSUfnzSLhRQRERER5XpxcXFYvXo1gE8Tmn2vI0G//PILfvnll+8yFuUsLKSIiIiISC3S0tIwd+5cnDlzRmnq6qSkJCQkJCAhIQFlypTBsmXLUKBAAbWOvXnzZkRGRqJUqVJwcXFRa99EX8JCioiIiIiyLSYmBt26dcPhw4e/2e7y5ct4/fo1jh49+sX7emaFXC5X3DNq+PDhnL2ZvgsWUkRERESULaGhoXBxccH169dhYGCA6dOnw9LSEnK5HEII6Ovrw9DQEMnJyRgwYABOnTqFPn36YOvWrWqZle3o0aO4f/8+TExM0KdPHzVsEVHGWEgRERERUZbdvn0bjRs3RlhYGKysrHDw4EHUqFHjq+0tLCzQokULbN++HcWKFcOcOXOyHcPixYsBAP369VO63yiRlH68mwsQERERkVq8f/8eLi4uCAsLQ4UKFXDx4sVvFlEA0LhxY6xbtw4AMHfuXCxbtixbMdy6dQv+/v7Q0tLCsGHDstUXkSpYSBERERGRylJTU9GlSxc8e/YMJUuWRFBQEEqUKJGpdXv16oUZM2YA+HRN04EDB7Icw9ixYwEA7du3z/T4ROrAQoqIiIiIVDZu3DicOHECxsbG2L9/P8zNzVVaf+LEiejfvz/kcjm6deuGixcvqrS+EAKDBw/GkSNHYGBggIkTJ6q0PlF2sZAiIiIiIpVs3boVCxcuBABs2rQJFStWVLkPmUyG5cuXo0WLFkhISICLiwsePXqU6fVnzJiBNWvWQEtLC9u3b+e9nOi7YyFFRERERJkWEBCAfv36AQAmTZqEDh06ZLkvHR0d7NixAw4ODnj37h2aNWuG0NDQb66TmpqKFStWYOrUqQCAZcuWoW3btlmOgSirWEgRERERUaacOXMGbdq0QVJSEtq3b49p06Zlu898+fLhr7/+QokSJfD48WM4Ojrizp07Sm1u3LiB8ePHw8nJCQUKFMDgwYMBfCrkBg4cmO0YiLKC058TERERUYYuXbqEli1bIj4+Hs2bN4evr69a7gEFADY2Njh16hSaNm2K+/fvo06dOjh06BCsrKwwZcoU+Pn5KbXPnz8/Bg0ahOnTp6tlfKKsYCFFRERERN908+ZNNG3aFDExMWjQoAH27NkDfX19tY5RvHhxnDt3Di4uLrhw4QKcnZ2RmpqKtLQ0AECHDh3QvHlz1KxZE2XLloW2trZaxydSFQspIiIiIvoqIQQGDRqEjx8/wtHREQcPHoShoaEkY5mbm+PEiRPo0qUL/vrrLwBAy5YtMXPmTE4mQTkOCykiIiKiHC46Ohrbtm2Ds7Mzfv755+869qlTp3Du3Dno6+tj586dyJcvn6TjGRkZYd++fdi2bRt+/vln1KpVS9LxiLKKhRQRERFRDpaSkoK2bdsiMDAQurq6GD16NCZOnAhjY+PvMv7nG+e6u7ujcOHC32VMHR0duLm5fZexiLKKs/YRERER5VCfbzobGBgIbW1tpKSkYPbs2ShXrhx8fX2RlJQk6fhnz55VFHDjxo2TdCyi3IaFFBEREVEOtXDhQqxduxZaWlo4cOAA9u/fjxIlSuDly5dwdXVFoUKFMGDAAJw+fRpCCLWP//loVO/evVGsWDG190+Um7GQIiIiIsqBDh48iDFjxgD4VFC1bNkSbdq0wZ07dzBt2jTY2toiMjISq1evRv369dG8eXN8+PBBbeNfuHABx48fh7a2Njw9PdXWL1FewUKKiIiIKIdZt24dOnXqBCEEBg4ciOHDhyteMzQ0xJQpU/DixQucOHECffv2haGhIY4dO4bq1avj1q1baonh89GoXr16wc7OTi19EuUlLKSIiIiIcoikpCQMHDgQ/fr1Q3JyMjp06IA///wTMpksXVttbW00bNgQ69atw/nz51GiRAk8fvwYjo6OiqnDs2rDhg34+++/oaWlhQkTJmSrL6K8ioUUERERUQ7w5s0bNGjQAKtWrYJMJsPMmTOxc+dO6OrqZrhu5cqVERISgoYNGyIuLg79+/dH3bp1ceDAAcjlcpXi+Pvvv9G/f38AwPjx4/HTTz9laXuI8joWUkREREQalpiYiFatWuH8+fMoUKAADh8+jIkTJ0JLK/M/1SwsLHDs2DGMGTMGenp6CA4ORtu2bVG+fHkcP348U31cunQJnTp1QlpaGnr27ImZM2dmdZOI8jwWUkREREQaJITAgAEDEBISAjMzM1y4cAHNmzfPUl86OjqYM2cOLl26hHHjxsHU1BT3799HmzZtcOnSpW+u++DBA7Rs2RLx8fFo2rQp1q1b98VTConoExZSRERERBq0ZMkSbN68Gdra2ti5cyfKlCmT7T6tra3h7e2Nly9fomXLlkhMTETr1q3x4sWLL7a/cOEC6tSpg3fv3sHBwQG7d+/O1CmFRD8yFlJEREREGhIQEIBRo0YBABYsWABnZ2e19p8/f35s374dlSpVwps3b9CqVSvExMQotdm9ezcaNGiAt2/fokqVKvj777+RL18+tcZBlBfpaDoAIiIioh/Rhw8f0KVLF8jlcvTu3VtpinN1yp8/Pw4dOoTq1avjxo0baNeuHVq3bg1tbW08e/YMf/zxBwDAxcUF27dvZxFFlEkspIiIiIg0YMmSJfjw4QMqVKiAFStWSHo9UrFixXDgwAE4OTnhxIkTOHHihNLrw4YNw6JFi6CtrS1ZDER5DQspIiIiou/s48ePWLJkCQBg2rRpMDAwkHzMGjVq4Pjx41izZg2Sk5ORlpYGIQRatWoFNzc3yccnymtYSBEREdEP6+TJkwgICICOjg50dHRgaGiITp06oUSJEpKO++effyIqKgoVKlRAu3btJB3r3+rWrYu6det+t/GI8jIWUkRERPRDWr9+Pfr16wchhNLyWbNmYcOGDZIVONHR0Vi0aBEAYPLkySrdK4qIcg4WUkRERPTD2bBhg6KIatWqFYoXL47U1FT8888/+Oeff9C+fXv8/vvvmDNnDvT09NQ6to+PDz5+/IiyZcuiY8eOau2biL6fHPMnkNmzZ0Mmk8HDw0OxTAgBLy8v2NrawtDQEE5OTrh9+7bSeklJSRg2bBgsLCxgbGyM1q1bIzQ09DtHT0RERLnFpk2b4O7uDiEEhgwZggMHDmDp0qVYsWIFgoODMXr0aADAokWL4OTkhJcvX6pt7JiYGCxYsAAAMGnSJE7uQJSL5YhCKiQkBKtXr0alSpWUls+bNw8LFy6Ej48PQkJCYGNjg8aNGyvd/8DDwwP79u2Dn58fzp49i9jYWLi4uCAtLe17bwYRERHlcL6+vujTpw+EEBg0aBCWLl2qNFuerq4u5s+fj/3796NAgQI4f/48qlSpgiNHjqhl/EWLFuHDhw8oXbo0unTpopY+iUgzNF5IxcbGwtXVFWvWrEHBggUVy4UQWLx4MSZOnIj27dvD3t4emzZtQnx8PHx9fQEAUVFRWLduHRYsWIBGjRqhSpUq2Lp1K27evImAgABNbRIRERHlQEeOHIGbmxuEEBg4cCB8fHy+OuV4mzZtcOXKFTg4OOD9+/do0aIFJk2alK0/1IaEhGDGjBkAAC8vL+jo8AoLotxM45/gIUOGoGXLlmjUqBFmzpypWP706VOEh4ejSZMmimX6+vqoX78+goODMWDAAFy+fBkpKSlKbWxtbWFvb4/g4GA0bdr0i2MmJSUhKSlJ8Tw6OhoAIJfLIZfL1b2JKpHL5RBCaDyOvIw5lhbzKz3mWFrMr/Q0kePz58+jQ4cOSE1NRbdu3bB06VJFLF9TvHhxnD59GqNHj8aKFSswa9YsPHjwANu3b1f5nk/R0dHo1q0bUlNT0aFDB8WNeKXAfVh6zLG0NJ3fzI6r0ULKz88PV65cQUhISLrXwsPDAQDW1tZKy62trfH8+XNFGz09PaUjWZ/bfF7/S2bPno1p06alW/727VskJiaqvB3qJJfLERUVBSEEZ/GRCHMsLeZXesyxtJhf6X3vHN+/fx9t27ZFQkICGjRogDlz5uDdu3eZXn/KlCmoWLEiRowYgV27dqFMmTIYMmSISjEMHToUjx8/RuHChTFz5ky8fftW1c3INO7D0mOOpaXp/P77MqJv0Vgh9fLlS4wYMQLHjx//5k3o/vsXHyFEhn8FyqiNp6cnRo4cqXgeHR2NokWLwtLSEiYmJpncAmnI5XLIZDJYWlrygykR5lhazK/0mGNpMb/S+545jo2NRc+ePfHx40fUrFkTBw4cgLGxscr9DBgwQDE5hbe3N+rXr4+GDRtmat0tW7Zgz5490NLSwvbt2/Hzzz+rPL4quA9LjzmWlqbzm9kbZGuskLp8+TIiIiLg4OCgWJaWlobTp0/Dx8cH9+/fB/DpqFOhQoUUbSIiIhRHqWxsbJCcnIzIyEilo1IRERFwdHT86tj6+vrQ19dPt1xLSytHfBhkMlmOiSWvYo6lxfxKjzmWFvMrve+V4/nz5+Ply5ews7PD4cOHkT9//iz3NWjQIISEhGDjxo3o1q0brly5gqJFi361fWpqKnx8fDBhwgQAn66L+l43w+U+LD3mWFqazG9mx9TYO+/s7IybN2/i2rVrike1atXg6uqKa9euoWTJkrCxsYG/v79ineTkZAQFBSmKJAcHB+jq6iq1CQsLw61bt75ZSBEREVHe9+LFC/zxxx8AgAULFsDMzCxb/clkMixfvhxVqlTBu3fv0LFjR0RFRX2xbXBwMBwcHPD7778jISEBzZs3VxRURJQ3aOyIVP78+WFvb6+0zNjYGObm5orlHh4e8Pb2RunSpVG6dGl4e3vDyMgI3bt3BwCYmprC3d0do0aNgrm5OczMzDB69GhUrFgRjRo1+u7bRERERDmHp6cnEhMTUb9+fbRt21YtfRoaGmLPnj1wcHDApUuXYG9vj7Vr1yomuLp9+zZmzZqF7du3AwDMzMwwZ84cuLu788gFUR6j8Vn7vmXs2LFISEjA4MGDERkZiRo1auD48eNKh+UXLVoEHR0ddO7cGQkJCXB2dsbGjRt5gzsiIqIf2MWLF+Hr6wuZTIaFCxeqPMvet9jZ2eHo0aNwdXXFo0eP0KxZM/Tt2xfR0dHYs2cPhBAAAHd3d8yZMwcWFhZqG5uIcg6Z+Pxp/4FFR0fD1NQUUVFROWKyiYiICFhZWfEvVxJhjqXF/EqPOZYW8ys9qXMshEDt2rVx/vx59O7dGxs2bFD7GAAQHx+PCRMmYMmSJUrL27dvj0mTJqFKlSqSjJsR7sPSY46lpen8ZrY24DtPREREavXx40csXrwYly9f1sj4vr6+OH/+PIyMjDBr1izJxjEyMsLixYsRFBSE6tWro1u3brhx4wb27NmjsSKKiL6fHH1qHxEREeUub968QZMmTXDjxg0AQMuWLTF16lT8+uuv32X8+/fvY9CgQQCA8ePHw9bWVvIx69Wrh4sXL0o+DhHlLDwiRURERGrx/Plz1KlTBzdu3ICpqSm0tLRw+PBhVK9eHc2bN4e/vz+kvKIgLi4OHTp0QExMDOrVqwdPT0/JxiIiYiFFRERE2Xbv3j3UqVMHjx49QvHixfHPP//g7t276NWrF7S1tXH06FE0adIE9vb2WL16NRITE9U6vhAC/fv3x+3bt2FjYwM/Pz/o6PDEGyKSDgspIiIiypaoqCg4OzsjNDQU5cqVw7lz5/DTTz/h559/xqZNm3D//n0MGzYM+fLlw507dzBo0CC0a9cOkZGRaoth2bJl2L59O7S1tbFz504UKlRIbX0TEX0JCykiIiLKlgkTJuD169f46aefcPr0aRQuXFjp9VKlSuHPP/9EaGgoFi1aBDMzM1y7dg1NmjTB+/fvsz3+rVu3MHLkSADAvHnzULdu3Wz3SUSUERZSRERElGUXL17EihUrAACrV6/+5j2TTE1N4eHhgZMnT8Lc3BxXrlxBw4YN8fbt2yyPL5fLMWDAAKSkpMDFxQW///57lvsiIlIFCykiIiLKkpSUFPz2228QQqBXr15o0KBBptarWLEi9uzZAxsbG9y4cQN16tTB6tWrs1RQrV69GsHBwciXLx9WrFih1hvvEhF9CwspIiIiypIlS5bgxo0bMDMzwx9//KHSumXKlEFgYCAKFy6MBw8eYMCAAShUqBAaN26MgICATPXx+vVrjBs3DgDg7e2NIkWKqLwNRERZxUKKiIiIVPb8+XNMnToVADB//nxYWlqq3MfPP/+MK1euYM6cOahatSrS0tIQEBCApk2bYtmyZRmuP3z4cERHR6N69eoYPHiwyuMTEWUHCykiIiJSSWJiIjp37oz4+HjUrVsXffr0yXJfVlZWGDduHC5fvoxHjx7Bzc0NcrkcQ4cOxciRI5GWlpZuncjISMyePRt79uyBjo4O1qxZA21t7exsEhGRyniDBSIiIso0IQR+++03XLp0CQULFsSGDRvUdl1SqVKlsGHDBpQpUwYTJkzAokWLcPfuXTRs2BAmJiYwNDTE0aNHsXfvXiQlJQEARo8ejUqVKqllfCIiVbCQIiIiokxbuHAhtmzZAm1tbezatQulSpVSa/8ymQyenp6ws7ODm5sbjh49iqNHj6ZrV7FiRfz2228YNGiQWscnIsosFlJERESUKceOHcPYsWMBfCqonJ2dJRura9euKF26NLZs2YLIyEhERUUhOjoa5cqVQ58+feDg4MAZ+ohIo1hIERERUYZCQ0PRtWtXyOVyuLu7Y9iwYZKP6eDgAAcHB8nHISLKChZSREREuUBCQgJ27dqFyMhIdO3aFdbW1t9tbLlcjj59+uDjx4/49ddfsWzZMh4NIqIfHgspIiKiHOz169dYvnw5Vq1ahXfv3gEAxo4di65du2Lo0KEoUKAAnj9/jufPnyNfvnzo3Lmz2oucFStWICAgAIaGhtiyZQv09fXV2j8RUW6kciH18uVLyGQyxU3vLl26BF9fX5QvXx6//fab2gMkIiL6Ue3fvx9dunRBcnIyAKB48eKwsrJCSEgINm/ejM2bN6dbJzIyEgMHDlRbDA8ePMCYMWMAAPPmzUOZMmXU1jcRUW6m8n2kunfvjsDAQABAeHg4GjdujEuXLmHChAmYPn262gMkIiL6ET158gRubm5ITk5GzZo1sXv3bjx69AiXLl3ChQsX0L17d+jq6sLIyAjlypVDjRo1AACjRo3Cw4cP1RJDamoqevXqhYSEBDRq1Ig3vSUi+heVC6lbt26hevXqAICdO3fC3t4ewcHB8PX1xcaNG9UdHxER0Q8nOTkZXbt2RXR0NBwdHXHmzBl06NABOjqfTiSpUaMGtm3bhvj4eMTGxuLOnTsIDg5Gw4YNER8fj169eiE1NTXbcXh7e+PixYswNTXF+vXroaWl8s8GIqI8S+VvxJSUFMW50QEBAWjdujUAoGzZsggLC1NvdERERD+gCRMmICQkBAULFsT27dsVBdR/6ejoKK6H0tLSwoYNG2BiYoILFy5g3rx52YohMDAQ06ZNAwD4+PigaNGi2eqPiCivUbmQqlChAlauXIkzZ87A398fzZo1A/DpYlhzc3O1B0hERPQj+fvvv7FgwQIAwPr161GsWLFMr1usWDH4+PgAAKZOnYorV65kKYY3b96ge/fuitn6evTokaV+iIjyMpULqblz52LVqlVwcnJCt27dULlyZQDAwYMHFaf8ERERkeoiIiLg5uYGABg+fDjatm2rch89evRAhw4dkJqaigYNGmDVqlWQy+WZXj8tLQ09evRAeHg4KlSooCjMiIhImcqz9jk5OeHdu3eIjo5GwYIFFct/++03GBkZqTU4IiKiH4UQAgMHDsS7d+9QqVKlLJ+aJ5PJsGrVKoSGhuLixYsYOHAgtm3bhtWrV6Ns2bIZrj979mwEBATAyMgIO3fu5P/biYi+IktXjQohcPnyZaxatQoxMTEAAD09PX7ZEhERZZGvry/27dsHXV1dbN68OVv3ajI3N8e5c+ewePFiGBsb48yZM6hcuTI8PDzw9u3bL64jhMCiRYswZcoUAJ/uHVW+fPksx0BElNepXEg9f/4cFStWRJs2bTBkyBDFF/K8efMwevRotQdIRESU171+/RpDhw4FAEyZMkVx2nx2aGtrY8SIEbh9+zZatmyJ5ORkLFmyBKVKlcL06dMRFRWlaJuWloYRI0Zg5MiREELAw8MDvXr1ynYMRER5mcqF1IgRI1CtWjVERkbC0NBQsbxdu3Y4ceKEWoMjIiLK64QQ6N+/Pz5+/Ihq1aph/Pjxau2/ePHi+Ouvv3D8+HFUrVoVMTExmDp1KszNzVG7dm1MnToV7dq1w9KlSwEA8+fPx8KFC9UaAxFRXqTyNVJnz57FuXPnoKenp7S8ePHiePXqldoCIyIi+hFs27YNf//9N/T09LBp06avTnWeXY0bN4azszN27dqFGTNm4Pbt2wgODkZwcDAAQF9fH1u2bEGnTp0kGZ+IKK9R+dtaLpcjLS0t3fLQ0FDkz59fLUERERH9CIQQ8Pb2BvDplD6pr0nS0tJCly5d0KVLFzx//hwBAQEICAjAs2fPsGDBAjg6Oko6PhFRXqLyqX2NGzfG4sWLFc9lMhliY2MxdepUtGjRQp2xERERfTfJycnYt28f2rVrhy5duuDdu3eSj3ns2DHcvXsX+fPnx7BhwyQf79+KFy8Od3d3bN++HefPn2cRRUSkIpWPSC1atAgNGjRA+fLlkZiYiO7du+Phw4ewsLDA9u3bpYiRiIhIMh8+fMCsWbOwefNmpeKpb9++OHToEGQymWRjL1q0CADg7u4OExMTycYhIiL1U7mQsrW1xbVr17B9+3ZcuXIFcrkc7u7ucHV1VZp8goiIKKc7f/48unbtihcvXgAAbGxs0KFDB6xZswaHDx+Gj4+PZEeKbt26hePHj0NLSwvDhw+XZAwiIpJOlq5oNTQ0RN++fdG3b191x0NERCQ5uVyOBQsWYMKECUhNTcVPP/2EhQsXonnz5tDS0kKhQoUwadIkjBkzBvXq1VPLdOT/9fk0+Xbt2sHOzk7t/RMRkbRUvkZq8+bN33yoYsWKFahUqRJMTExgYmKCWrVq4ciRI4rXhRDw8vKCra0tDA0N4eTkhNu3byv1kZSUhGHDhsHCwgLGxsZo3bo1QkNDVd0sIiL6QcTExKBt27YYO3YsUlNT0bVrV1y+fBmtWrVSzJjXt29ftGzZEklJSejatSvi4uLUGkNERAS2bt0KAPj999/V2jcREX0fKh+RGjFihNLzlJQUxMfHQ09PD0ZGRirdwK9IkSKYM2cOfvrpJwDApk2b0KZNG1y9ehUVKlTAvHnzsHDhQmzcuBE///wzZs6cicaNG+P+/fuKGQI9PDxw6NAh+Pn5wdzcHKNGjYKLiwsuX74MbW1tVTePiIjysOfPn6NVq1a4efMm9PX18eeff6J///7proOSyWRYv349fvnlF9y7dw+9e/fG1q1boa+vr5Y4Vq5ciaSkJPz666+c5IGIKLcSavDgwQPh7Owsjh49mu2+ChYsKNauXSvkcrmwsbERc+bMUbyWmJgoTE1NxcqVK4UQQnz8+FHo6uoKPz8/RZtXr14JLS0tlWKJiooSAERUVFS248+utLQ0ERYWJtLS0jQdSp7FHEuL+ZUec5w158+fF1ZWVgKAsLGxEZcuXfpiu3/n9+TJk0JHR0cAEA0aNBAfP37Mdhxv375VxLF9+/Zs95cbcR+WFvMrPeZYWprOb2ZrA7Xc9a906dKYM2cOevTogXv37mWpj7S0NOzatQtxcXGoVasWnj59ivDwcDRp0kTRRl9fH/Xr10dwcDAGDBiAy5cvIyUlRamNra0t7O3tERwcjKZNm35xrKSkJCQlJSmeR0dHA/h0zrxcLs9S/Ooil8shhNB4HHkZcywt5ld6zLHqTp8+jWbNmiEpKQmVK1fGgQMHULRo0S/m8N/5rV+/Pg4dOoROnTohMDAQdevWxV9//YUiRYpkKY6kpCS0a9cOERER+Omnn9CuXbsf8n3kPiwt5ld6zLG0NJ3fzI6rttuna2tr4/Xr1yqvd/PmTdSqVQuJiYnIly8f9u3bh/LlyyvutG5tba3U3traGs+fPwcAhIeHQ09PDwULFkzXJjw8/Ktjzp49G9OmTUu3/O3bt0hMTFR5G9RJLpcjKioKQghoaal8CRtlAnMsLeZXesyxaoQQ+P3335GUlARnZ2esWrUK+vr6iIiI+GL7/+b3l19+wb59++Dq6oqbN2+ievXq6NWrF9q2bYuSJUuqFMewYcNw9uxZmJiYYO3atYiMjFTXZuYq3IelxfxKjzmWlqbzGxMTk6l2KhdSBw8eVHouhEBYWBh8fHxQu3ZtVbtDmTJlcO3aNXz8+BF79uyBm5sbgoKCFK//97x1IUSG9/TIqI2npydGjhypeB4dHY2iRYvC0tJS4/fxkMvlkMlksLS05AdTIsyxtJhf6THHqjl69CiuXbsGQ0NDbN26FVZWVt9s/6X8NmzYEBcuXECLFi1w7949zJ8/H/Pnz0fVqlUxadIktGnTJsM4ZsyYgT179kBbWxu7du1C3bp11bJ9uRH3YWkxv9JjjqWl6fwaGBhkqp3KhVTbtm2Vnn/eyIYNG2LBggWqdgc9PT3FZBPVqlVDSEgIlixZgnHjxgH4dNSpUKFCivYRERGKo1Q2NjZITk5GZGSk0lGpiIiIb168q6+v/8ULhrW0tHLEh0Emk+WYWPIq5lhazK/0mOPMEUJg5syZAIBBgwbBxsYmU+t9Kb92dnb4559/sHv3bvj5+cHf3x9XrlxBp06dsG/fPrRq1UrRVi6XY/Pmzbhy5QrevHmD8PBwnD59GsCnGWv/fUr6j4r7sLSYX+kxx9LSZH4zO6bKkX2+jujzIy0tDeHh4fD19VUqeLJKCIGkpCTY2dnBxsYG/v7+iteSk5MRFBSkKJIcHBygq6ur1CYsLAy3bt3iLEhERISTJ0/i/PnzMDAwwOjRo7Pdn7GxMdzc3HDkyBGEhYWhR48eSEtLQ+fOnRWnpEdGRqJVq1bo06cPli5dip07dyqKqDFjxqB///7ZjoOIiDRPbddIZcWECRPQvHlzFC1aFDExMfDz88OpU6dw9OhRyGQyeHh4wNvbG6VLl0bp0qXh7e0NIyMjdO/eHQBgamoKd3d3jBo1Cubm5jAzM8Po0aNRsWJFNGrUSJObRkREOcD06dMBAL/99pta/tj3b5aWlli/fj0+fPiAv//+Gy4uLli5ciU8PT3x5MkTGBgYYPDgwShWrBisra3x008/oVq1amqNgYiINCdThdS/ryfKyMKFCzPd9s2bN+jZsyfCwsJgamqKSpUq4ejRo2jcuDEAYOzYsUhISMDgwYMRGRmJGjVq4Pjx44p7SAHAokWLoKOjg86dOyMhIQHOzs7YuHEj7yFFRPSDCwoKwunTp6Gnp4exY8dKMoauri527tyJRo0a4cKFC+jSpQsAoESJEti7dy+qVKkiybhERKR5mSqkrl69mqnOMpoE4r/WrVuXYX9eXl7w8vL6ahsDAwMsXboUS5cuVWlsIiLKu4QQitlZ+/Xrh8KFC0s2lrGxMf766y/UqVMH9+7dQ9OmTbFt2zaYm5tLNiYREWlepgqpwMBAqeMgIiJSm40bNyIwMBC6urqKyYukZG5ujgsXLuCff/6Bk5MTz4ogIvoBaPQaKSIiyptSU1Nx6tQpvH79GlWrVkW5cuW+W3Hx+PFjDB8+HMCna6SKFSv2XcY1NTWFs7PzdxmLiIg0L0uFVEhICHbt2oUXL14gOTlZ6bW9e/eqJTAiIspdhBA4ffo0fH19sWfPHrx//17xWv78+eHg4IBChQrByMgIxsbGKF++PNzd3aGjo76/6aWmpqJnz56IjY1FvXr1MGbMGLX1TURE9G8q/9/Lz88PvXr1QpMmTeDv748mTZrg4cOHCA8PR7t27aSIkYiIcoEJEyZgzpw5iueWlpYoU6YMrl69ipiYGJw6dSrdOg8fPsQff/yhthi8vb1x/vx5mJiYYPPmzTzFjoiIJKNyIeXt7Y1FixZhyJAhyJ8/P5YsWQI7OzsMGDBA7VPLEhFR7jB//nxFEdW7d2+4urrCyckJOjo6SEtLw507d3D58mV8/PgR8fHxCAsLg4+PDxYsWIBff/1VMdtddly8eFEx3fny5ctRvHjxbPdJRET0NSoXUo8fP0bLli0BAPr6+oiLi4NMJsPvv/+Ohg0bKmZJIiKiH8PatWsV04vPmzcv3el02traqFixIipWrKi03NjYGHPnzoW7uzsqVKgAe3v7LMfw8eNHdO3aFWlpaejatStcXV2z3BcREVFmaKm6gpmZGWJiYgAAhQsXxq1btwBA8VdGIiL6cezZswcDBgwAAIwbN06la5JmzpyJRo0aIS4uDu3bt8fHjx+zFIMQAu7u7nj27Bns7OywcuXKLPVDRESkikwXUteuXQMA1K1bF/7+/gCAzp07Y8SIEejfvz+6devG2YqIiH4gL168QK9evSCXy9G/f3/Mnj1bpfV1dHSwfft2FCtWDA8fPkT9+vVx6NAhCCFU6mf58uXYu3ev4ua4pqamKq1PRESUFZkupKpWrQoHBweUK1cO3bp1AwB4enpi9OjRePPmDdq3b5/hDXaJiCjvGD16NOLj41G3bl2sWLFC5ZuyA4CFhQX27t0LU1NT3LhxA61bt0a1atUyXVBduXIFI0eOBPDpOq1q1aqpHAMREVFWZLqQOnfuHKpWrYo//vgDpUqVQo8ePRAUFISxY8fi4MGDWLhwIQoWLChlrERElEOcPHkSu3btgpaWFpYuXZqt2fEcHBzw8OFDjBs3DsbGxrhy5Qpat26NAQMGpLvFxmdCCBw4cADt2rVDcnIy2rRpo7h3FBER0feQ6UKqVq1aWLNmDcLDw7FixQqEhoaiUaNGKFWqFGbNmoXQ0FAp4yQiohwiJSVFUbQMGjQIlStXznaflpaWmDNnDp49e4bRo0dDJpNhzZo1aNSoEd6+fatoJ4TAiRMnULNmTbRt2xYvXryAnZ0d1q9fn6UjYkRERFml8mQThoaGcHNzw6lTp/DgwQN069YNq1atgp2dHVq0aCFFjERElIMsW7YMt2/fhrm5uWK6cXWxsLDA/Pnz8ddff8HExARnzpzBr7/+iokTJ6JFixawtrZGo0aNcOnSJRgZGcHT0xOXL1+GmZmZWuMgIiLKSLZuJ1+qVCmMHz8eRYsWxYQJE3Ds2DF1xUVERDnQmzdvMHXqVACf7isoVQHTokULXLhwAa1bt8ajR4/g7e2teE1fXx8DBgyAp6cnbGxsJBmfiIgoI1kupIKCgrB+/Xrs2bMH2tra6Ny5M9zd3dUZGxER5TBz5sxBdHQ0qlatKvl3frly5XDx4kXMmDEDUVFRqFatGhwcHFCpUiUYGhpKOjYREVFGVCqkXr58iY0bN2Ljxo14+vQpHB0dsXTpUnTu3BnGxsZSxUhERDlAbGws1q9fD+DTPaCyM8FEZpmZmWHRokWSj0NERKSqTBdSjRs3RmBgICwtLdGrVy/07dsXZcqUkTI2IiLKQTZv3ozo6GiULl0aTZs21XQ4REREGpXpQsrQ0BB79uyBi4vLd/krJBERpRcVFYW//voL79+/h7W1NYyNjVG0aFG1zJz3LUII+Pj4AACGDBkCLS2V5yoiIiLKUzJdSB08eFDKOIiI6Bv++ecfrFy5Etu3b0d8fHy6152cnDB16lQ4OTlJMv6JEydw9+5d5MuXD71795ZkDCIiotwkW7P2ERGRtIQQ6N69O/z8/BTLypUrBxsbG6SlpSE+Ph7Xr1/HqVOncOrUKdSvXx9//PEHqlWrptY4li5dCgBwc3ODqampWvsmIiLKjXhuBhFRDubn5wc/Pz/o6OjA1dUVZ86cwc2bN+Hr64vAwECEhITg0aNHGDRoEPT09BAUFIQ6derA19dXbTE8ffoUhw4dAgAMHTpUbf0SERHlZiykiIhyqOjoaIwaNQoAMHXqVGzduhV16tSBTCZTalesWDEsX74cjx49QuvWrZGUlARXV1dMmTIFcrk823EsX74cQgg0btwYZcuWzXZ/REREeQELKSKiHGr69OkICwvDTz/9hNGjR2fYvmjRoti3bx/Gjh0LAJgxYwa6deuGhISELMcQEBCAVatWAQCGDRuW5X6IiIjyGhZSREQ50K1bt7B48WIAn65PMjAwyNR6WlpamDt3LtatWwcdHR3s3LkTTk5OCAsLU2n8tLQ0eHl5oUmTJoiJiUGtWrXQokULVTeDiIgoz2IhRUSUwwghMHToUKSlpaFdu3Zo1qyZyn307dsX/v7+MDMzw6VLl1C9enVcu3YtU+u+fv0aTZs2xbRp0yCEQP/+/XHixAne+oKIiOhfWEgREeUwS5YsQVBQEAwNDbFo0aIs9+Pk5ISLFy+iTJkyCA0NRZ06db55K4uEhATMnDkTP//8M06cOAEjIyNs3rwZq1evhqGhYZbjICIiyotYSBER5SA+Pj74/fffAXy6Rqp48eLZ6u+nn37C+fPn4ezsjLi4OLRt2xYLFiyAEELRRi6XY/v27ShTpgwmT56MuLg41KxZEyEhIejZs2e2xiciIsqrWEgREeUQPj4+igkdxo8fr5ixL7sKFiyII0eOYMCAARBCYPTo0ejfvz+Sk5Nx+PBhVK1aFd27d8fLly9RtGhRbN++HcHBwShfvrxaxiciIsqLeENeIqIcYNmyZUpFlLe3d7ppzrNDV1cXK1asQNmyZTFq1CisW7cOBw4cwLt37wAAJiYmGDNmDEaNGsXT+IiIiDKBhRQRkYbdu3cPI0aMACBNEfWZTCaDh4cHSpcuja5du+Ldu3cwMDDAsGHDMG7cOJibm6t9TCIioryKhRQRkYZNmDABaWlpaNWqlWRF1L+1bNkSISEhOHz4MLp16wZbW1tJxyMiIsqLWEgREf3H3bt3sWnTJjRo0ABNmzaVdKzg4GDs27cPWlpamDNnjuRF1Gdly5ZF2bJlv8tYREREeREnmyAi+n8XLlxAu3btUL58ecydOxfNmjXD0KFDkZCQIMl4QgiMHTsWwKf7PnFyByIiotyDhRQR/dCEEDhy5AicnJxQq1Yt7N+/HzKZDLVq1QLwaRKIX3/9FTdv3lT72AcPHsS5c+dgaGgILy8vtfdPRERE0tFoITV79mz8+uuvyJ8/P6ysrNC2bVvcv39fqY0QAl5eXrC1tYWhoSGcnJxw+/ZtpTZJSUkYNmwYLCwsYGxsjNatWyM0NPR7bgoR5TJCCPj5+aFKlSpo0aIFgoKCoKuri759++LOnTsIDg7GkSNHYG1tjdu3b+PXX3/FqVOn1DZ+amoqxo8fDwDw8PBA4cKF1dY3ERERSU+jhVRQUBCGDBmCCxcuwN/fH6mpqWjSpAni4uIUbebNm4eFCxfCx8cHISEhsLGxQePGjRETE6No4+HhgX379sHPzw9nz55FbGwsXFxckJaWponNIqJcYNy4cejWrRuuX78OY2NjjBo1Ck+ePMG6desU1w41a9YMN27cQJMmTZCUlISOHTviyZMnahl/yZIluHfvHszNzTFu3Di19ElERETfkchBIiIiBAARFBQkhBBCLpcLGxsbMWfOHEWbxMREYWpqKlauXCmEEOLjx49CV1dX+Pn5Kdq8evVKaGlpiaNHj2Zq3KioKAFAREVFqXFrsiYtLU2EhYWJtLQ0TYeSZzHH0soN+fXx8REABAAxadIk8f79+2+2j4+PF9WqVRMAhL29vYiOjs7W+Dt37hQymUwAEMuWLVN5/dyQ49yM+ZUecywt5ld6zLG0NJ3fzNYGOWrWvqioKACAmZkZAODp06cIDw9HkyZNFG309fVRv359BAcHY8CAAbh8+TJSUlKU2tja2sLe3h7BwcFfnHErKSkJSUlJiufR0dEAALlcDrlcLsm2ZZZcLocQQuNx5GXMsbRyen4PHTqE4cOHAwBmzJiBCRMmAMA349XX18fevXtRo0YN3Lp1C927d8fevXuhra2t8viBgYHo0aMHhBAYMGAABgwYoHKucnqOczvmV3rMsbSYX+kxx9LSdH4zO26OKaSEEBg5ciTq1KkDe3t7AEB4eDgAwNraWqmttbU1nj9/rmijp6eHggULpmvzef3/mj17NqZNm5Zu+du3b5GYmJjtbckOuVyOqKgoCCGgpcW5QKTAHEsrJ+f32rVr6NatG+RyObp37w53d3dERERkal1dXV2sW7cO7dq1w19//YUOHTpg0KBB+OWXXzI9Zfnt27fRrl07JCcno0WLFpg8eTLevn2r8nbk5BznBcyv9JhjaTG/0mOOpaXp/P77EqJvyTGF1NChQ3Hjxg2cPXs23Wv//ZEihMjwh8u32nh6emLkyJGK59HR0ShatCgsLS1hYmKShejVRy6XQyaTwdLSkh9MiTDH0sqp+Y2JiUG/fv2QkJCApk2bYv369dDV1VWpj6ZNm2Lt2rXo2bMnDh06hEOHDqFChQpwd3fHoEGDoKen99V1Q0JC4OrqipiYGNSvXx+7du2CgYFBlrYlp+Y4r2B+pcccS4v5lR5zLC1N5zez/3/OEYXUsGHDcPDgQZw+fRpFihRRLLexsQHw6ahToUKFFMsjIiIUR6lsbGyQnJyMyMhIpaNSERERcHR0/OJ4+vr60NfXT7dcS0srR3wYZDJZjoklr2KOpZUT8ztjxgy8evUKpUqVwq5du774HZAZPXr0gJ2dHVauXIndu3fj9u3bGDlyJI4dO4bdu3cjX7586dbZvXs3evbsicTERPzyyy/Yv38/jIyMsrU9OTHHeQnzKz3mWFrMr/SYY2lpMr+ZHVOj77wQAkOHDsXevXtx8uRJ2NnZKb1uZ2cHGxsb+Pv7K5YlJycjKChIUSQ5ODhAV1dXqU1YWBhu3br11UKKiH4sd+7cwZIlSwAAS5cuRf78+bPVX+3atbFlyxaEhYXBx8cHRkZGOHbsGJydnfHu3TtFOyEEvL290alTJyQmJqJly5Y4ffo0ChQokK3xiYiISPM0ekRqyJAh8PX1xYEDB5A/f37FNU2mpqYwNDSETCaDh4cHvL29Ubp0aZQuXRre3t4wMjJC9+7dFW3d3d0xatQomJubw8zMDKNHj0bFihXRqFEjTW4eEeUAn/9gk5qaijZt2qB58+Zq67tAgQIYMmQIqlWrhhYtWuDSpUuoW7cuRowYgXPnzuHUqVOKe9qNGDECCxYsyNIEFURERJTzaLSQWrFiBQDAyclJafmGDRvQu3dvAMDYsWORkJCAwYMHIzIyEjVq1MDx48eV/qK8aNEi6OjooHPnzkhISICzszM2btzIHyxEhB07diAwMBAGBgZYvHixJGPUqFEDZ8+eRdOmTXHv3j0MGjRI8ZqBgQEWLFiAwYMHSzI2ERERaYZGCykhRIZtZDIZvLy84OXl9dU2BgYGWLp0KZYuXarG6Igot4uJicGoUaMAABMmTECJEiUkG6tcuXI4d+4c3NzckJqaivr168PJyQm1atXK9vVQRERElPPkiMkmiCjvevXqFUxNTb84CYPUJk+ejNevX6NUqVIYM2aM5OMVLVoUJ0+elHwcIiIi0jxOM0JEklm6dCmKFi0KU1NTVK5cGb/99hv8/Py+yw32zp07hz///BMAsGzZsixPNU5ERET0JSykiEgSS5cuxfDhwxV3Jr9x4wbWrFmDbt26oVmzZnjz5o1kYyckJKBv374QQqBv375o2rSpZGMRERHRj4mFFBGp3dq1a+Hh4QHg0w2wX716hb1792LUqFEwNDSEv78/KleujICAAEnGnzJlCh48eABbW1ssWLBAkjGIiIjox8ZCiojUysfHB5MnTwbwaYKHWbNmwdbWFu3atcMff/yBf/75B/b29njz5g2aNGmC0aNHIy4uTm3jX7hwAQsXLgQArFq1ivdsIiIiIkmwkCIitdm8eTNGjBgB4NORqJkzZ0Imkym1KV++PC5duoTffvsNQggsWLAA5cuXx6FDh7I9flxcHPr06QO5XI4ePXrAxcUl230SERERfQkLKSJSi0OHDqFv374AgAEDBmDGjBnpiqjPDA0NsWrVKvz1118oXrw4Xrx4gdatW6Ndu3aIiIjIcgxDhgzBvXv3YGNjgyVLlmS5HyIiIqKMsJAiomw7ffo0OnfujLS0NPTq1QtTpkz5ahH1by1btsTt27cxfvx46OjoYP/+/XBwcMClS5dUjmHDhg3YtGkTtLS0sH37dpiZmWVlU4iIiIgyhYUUEWXLvXv30KpVKyQmJqJVq1ZYs2YNtLQy/9VibGyM2bNn48qVKyhTpgxCQ0NRt25drFu3LtN93Lx5E0OGDAEATJ8+HU5OTqpuBhEREZFKWEgRUbaMHTsW0dHRqFOnDnbs2AEdnazd57tixYq4ePEiWrdujeTkZPTr1w/u7u6Ijo7+5nrR0dHo1KkTEhIS0LRpU3h6emZpfCIiIiJVsJAioiy7ePEiDh06BC0tLaxbtw6GhobZ6s/U1BT79u1TXF+1fv16VKhQAUePHk3XNiwsDJMmTULJkiVx//59FC5cGFu3blXpaBgRERFRVmXtT8dERIBimvNevXrh559/VkufWlpamDRpEurWrYu+ffviyZMnaN68Obp06YJChQohMjISb968wYkTJ5CSkgIAKFGiBHbu3AkLCwu1xEBERESUERZSRJQlQUFB8Pf3h46ODqZMmaL2/uvXr48bN25g4sSJ+PPPP7Fjx450bRwdHTFy5Ei0adMmy6cUEhEREWUFf3kQkcqEEIqjUf369YOdnZ0k4xgbG2Px4sXo3LkzduzYAQMDA5iZmaFgwYKoWrUqqlWrJsm4RERERBlhIUVEKgsICMCZM2egr6+PiRMnSj6eo6MjHB0dJR+HiIiIKLN4VTYRqSQuLg5jx44FAAwaNAhFihTRcERERERE3x8LKaJc5vXr12jbti0sLCzg6OiIAQMGYNmyZXj16pXkY8fFxaFly5a4du0aTE1NMX78eMnHJCIiIsqJWEgR5SK7d+9GxYoVceDAAbx//x7nz5/H6tWrMXToUJQtWxarVq2CEEKSsWNjY9GiRQsEBQXBxMQEx44dg7W1tSRjEREREeV0LKSIcoG4uDj07t0bnTp1wocPH1ClShWcOHECvr6+8PT0hIODA2JjYzFw4EA0btwYz549U+v4n4uo06dPw8TEBMePH0eNGjXUOgYRERFRbsJCiiiHe/36NerVq4dNmzZBS0sLEyZMwIULF9CwYUN069YN3t7euHjxIhYtWgRDQ0OcOHECFStWhL+/v9piGDNmDM6cOQNTU1P4+/uziCIiIqIfHgspohzsxo0bqFmzJq5cuQILCwsEBgZi1qxZ0NPTU2qnra0NDw8P3LhxA3Xq1EFsbCxatWqFv//+O9sx3Lp1C6tXrwYA7NmzB9WrV892n0RERES5HQspohzK398fderUwcuXL1G2bFlcvHgR9erV++Y6P/30E06cOIG2bdsiKSkJbdu2xYEDB7IcgxACI0eOhFwuR4cOHeDs7JzlvoiIiIjyEt5HiigHevnyJdq3b4/Y2Fg4OTlh7969KFiwYKbW1dPTw86dO+Hq6opdu3ahY8eO6NevH/T09CCXy2FtbY1hw4bB1NQ0w77+/vtv+Pv7Q09PD/PmzcvuZhERERHlGSykiHIYIQSGDh2K2NhYODo64tixY+lO5cuIrq4ufH19Ff9duXKl0usnT57EsWPHoKur+9U+UlJSMGrUKADAiBEjULJkSdU3hoiIiCiPYiFFlMPs27cPBw8ehK6uLlavXq1yEfWZjo4ONm/ejAYNGuDx48fQ0vp0Ju+ff/6JwMBADB48GKtXr4ZMJvvi+itXrsT9+/dhaWmJiRMnZnl7iIiIiPIiFlJEOUhUVBSGDh0KABg3bhwqVKiQrf60tbXRr18/pWWOjo5o3bo11q5di7JlyyqOOn328uVLLFiwAKtWrQIAzJgxI1OnARIRERH9SFhIEeUgEyZMQFhYGEqXLi3ZUaCWLVti4cKF8PDwwJgxYxAfHw9TU1MkJSXh9u3b8PX1RUpKCgCgadOmcHd3lyQOIiIiotyMhRRRDnHhwgWsWLECALBq1SoYGBhINtbw4cNx7949rFy5ElOmTEn3eoMGDeDp6YlGjRp99dQ/IiIioh8ZCymib0hLS4O2trbk4wghMGrUKAgh4ObmhgYNGkg6nkwmw59//glra2tcv34d+vr60NPTg6mpKVxdXVGzZk1JxyciIiLK7VhIEf1HYmIitm/fjiVLluDhw4cYO3Ysxo4dC0NDQ8nGPHToEIKDg2FoaAhvb2/Jxvk3XV1deHl5fZexiIiIiPIa3pCX6P/FxsZi2rRpKFasGPr27Yvr168jPj4eXl5eKFeuHPbu3QshhNrHTU1NhaenJwDAw8MDtra2ah+DiIiIiNSLhRQRgP3796NcuXLw8vLC27dvUbRoUcybNw9bt25F0aJF8fz5c3To0AE9evSAXC5X69ibN2/GnTt3YGZmhrFjx6q1byIiIiKSBgsp+qGFhoaiTZs2aNeuHUJDQ2FnZwc/Pz88efIEY8aMgaurK+7evYvJkycrbm47Y8YMtY2fkJCAqVOnAgAmTpyIAgUKqK1vIiIiIpKORgup06dPo1WrVrC1tYVMJsP+/fuVXhdCwMvLC7a2tjA0NISTkxNu376t1CYpKQnDhg2DhYUFjI2N0bp1a4SGhn7HraDcKiEhAU5OTjh48CB0dHTg6emJW7duoUuXLtDR+d/lg8bGxpg+fbrivkpeXl7p9tWs8vHxQWhoKIoWLYrBgwerpU8iIiIikp5GC6m4uDhUrlwZPj4+X3x93rx5WLhwIXx8fBASEgIbGxs0btwYMTExijYeHh7Yt28f/Pz8cPbsWcTGxsLFxQVpaWnfazMol5o9ezYeP36MwoUL49q1a/D29oaRkdFX2/fp0wfDhw8HAPTs2TNdUa+qFy9eYNasWQA+3fRWyunOiYiIiEi9NFpINW/eHDNnzkT79u3TvSaEwOLFizFx4kS0b98e9vb22LRpE+Lj4+Hr6wsAiIqKwrp167BgwQI0atQIVapUwdatW3Hz5k0EBAR8782hXOTRo0eYN28eAGDJkiWoUKFCptb7448/0KBBA8TGxqJNmzaIiIjI0vhpaWno0aMHoqKiUL16dfTo0SNL/RARERGRZuTYa6SePn2K8PBwNGnSRLFMX18f9evXR3BwMADg8uXLSElJUWpja2sLe3t7RRui/xJCwNPTEykpKWjRosUXC/mv0dXVxc6dO1GiRAk8fvwYtWrVwoMHD1SOYdasWThz5gzy588PX1/f73KvKiIiIiJSnxx7H6nw8HAAgLW1tdJya2trPH/+XNFGT08PBQsWTNfm8/pfkpSUhKSkJMXz6OhoAIBcLlf7jGyqksvlEEJoPI68zNfXF2fPnoWBgQGWLFkCIYRK05qbmZnhyJEjaNGiBZ48eYJatWph7969qFu3bqbWP3v2LKZNmwbg0zVSdnZ2eer95j4sPeZYWsyv9JhjaTG/0mOOpaXp/GZ23BxbSH0mk8mUngsh0i37r4zazJ49W/FD9t/evn2LxMTErAWqJnK5HFFRURBCQEsrxx4wzLXevXuHUaNGAQCGDx+OfPnyZen0vAIFCuDgwYNwc3PDlStX0KRJEyxZsgRt27b95nofP35E9+7dIZfL0aFDBzRp0iTLpwfmVNyHpcccS4v5lR5zLC3mV3rMsbQ0nd9/z8fwLTm2kLKxsQHw6ahToUKFFMsjIiIUR6lsbGyQnJyMyMhIpaNSERERcHR0/Grfnp6eGDlypOJ5dHQ0ihYtCktLS5iYmKh7U1Qil8shk8lgaWnJD6aa7dmzB0OHDsXbt29RqlQpTJkyBYaGhlnuz8rKCkFBQejZsyf279+PQYMGITIyEmPHjv1iIZ+UlIQePXrg1atXKFmyJNauXavx/U0K3IelxxxLi/mVHnMsLeZXesyxtDSd38xOAJZjCyk7OzvY2NjA398fVapUAQAkJycjKCgIc+fOBQA4ODhAV1cX/v7+6Ny5MwAgLCwMt27dUkwk8CX6+vrQ19dPt1xLSytHfBhkMlmOiSUvePv2LYYOHYqdO3cCACpUqIBly5bB0NAw2znOly8fdu/ejbFjx2LhwoWYMGECnj59imXLlkFXV1fRLi0tDT179sSJEyeQL18+7Nq1K0/fM4r7sPSYY2kxv9JjjqXF/EqPOZaWJvOb2TE1WkjFxsbi0aNHiudPnz7FtWvXYGZmhmLFisHDwwPe3t4oXbo0SpcurZieunv37gAAU1NTuLu7Y9SoUTA3N4eZmRlGjx6NihUrolGjRpraLMpB0tLS4OTkhDt37kBbWxuenp6YMGECoqKi1DaGtrY2FixYADs7O4wYMQJr1qzBixcv4OXlhWrVqkFbWxuDBg3Cnj17oKenh/3796Nq1apqG5+IiIiIvj+NFlL//PMPGjRooHj++XQ7Nzc3bNy4EWPHjkVCQgIGDx6MyMhI1KhRA8ePH0f+/PkV6yxatAg6Ojro3LkzEhIS4OzsjI0bN3IWNAIAHDp0CHfu3EHBggUREBCAqlWrSnbh4tChQ1G8eHF07doVx44dw7Fjx2BiYoKyZcvi0qVL0NLSgq+vL5ydnSUZn4iIiIi+H5lQZbqyPCo6OhqmpqaIiorS+DUrcrkcERERsLKyypOHil+9eoWTJ0+ievXqKFOmjOTjOTs74+TJkxg3bhzmzJkDQPocX716FbNmzcLJkycRGRmpWL569Wr0799f7ePlNHl9H84JmGNpMb/SY46lxfxKjzmWlqbzm9naIMdeI0V5x9OnT7Fx40b89ddfuHLlCoBPp2UeP34c1atXl2zc27dv4+TJk9DS0sKgQYMkG+e/qlSpgt27dyMtLQ1Xr17FqVOnUKJECXTs2PG7xUBERERE0mIhRZJJTU3F4sWLMXnyZMW08p9nYImIiEDjxo1x/Phx1KhRQ5LxfXx8AABt2rRB8eLFJRnjW7S1tVGtWjVUq1btu49NRERERNLisUiSxM2bN+Ho6IgxY8YgMTER9erVw4YNGxAeHo7Hjx+jbt26iI6ORpMmTXDhwgW1j//x40ds3rwZADBs2DC1909EREREPzYWUqR2J06cgIODA0JCQmBqaoq1a9fi1KlT6N27N6ysrJAvXz78/fffqFevnqKYOnr0qFpjWL9+PeLj42Fvbw8nJye19k1ERERExEKK1CosLAzdu3dHSkoKmjVrhjt37sDd3T3dDWrz5cuHw4cPo379+oiJiUGLFi0wbdo0tcyol5aWhmXLlgH4dDTqSzfHJSIiIiLKDhZSpDZpaWlwdXVFREQEKlWqhL1798LW1var7fPly4djx45hwIABEELAy8sLLVu2xIcPH7IVx6ZNm/DkyRMUKFAArq6u2eqLiIiIiOhLWEiR2syYMQOBgYEwNjbGzp07YWhomOE6+vr6WLlyJTZu3AgDAwMcPXoUderUwcePH1UeXwiB+fPnw93dHQAwZMgQGBsbq9wPEREREVFGWEiRWpw8eRLTp08HAKxatUrle0S5ubnhwoULKFy4MO7evYsuXbogNTU10+unpKRgwIABGDt2LIBPN8f18vJSKQYiIiIiosxiIUXZ9u7dO7i6ukIIAXd39yyfTle5cmUcOnQIRkZGOH78OEaOHJmp9cLDw9GsWTOsWbMGMpkMS5YswdKlS6Gjw9n9iYiIiEgaLKQoW4QQGDBgAMLDw1GuXDn8+eef2eqvSpUq2LJlCwBg6dKlWLFixTfbHz9+HJUrV8bJkydhbGyMAwcOYPjw4dmKgYiIiIgoIyykKFs2btyIvXv3QldXF1u3boWRkVG2+2zfvj1mzZoF4NOse4cPH07XJjk5GWPHjkXTpk0RERGBihUr4tKlS2jVqlW2xyciIiIiyggLKcqyJ0+eKI7+zJgxA1WrVlVb356enujZsyfS0tLQvn17pWLqzZs3cHZ2xvz58wEAgwcPxsWLF1G+fHm1jU9ERERE9C28iISyJDU1FT179kRsbCzq1q2L0aNHq7V/mUyGdevWISEhAbt370a7du2wd+9eFCpUCG3btkVoaChMTEywceNGtGvXTq1jExERERFlhIVULpWamopdu3bh/fv3sLKygqWlJcqUKfPN+zap05w5cxAcHAwTExNs3rwZ2traah9DV1cXvr6+kMlk2LVrF9q3bw9tbW0kJiaiTJkyOHDggMqzAxIRERERqQMLqVwoNTUVPXr0wI4dO5SWfy48OnbsKOn4ISEhiqnFly1bhhIlSkg2lq6uLrZt2wYA2LVrF1JSUtCyZUts27YNpqamko1LRERERPQtLKRymdTUVLi6umLnzp3Q0dFBy5Yt8eHDB4SGhuLp06fo3bs3KlSogHLlykkyflxcHHr06IG0tDR07tw5y1Odq+JzgWhvbw8TExMMGzZMkiNgRERERESZxUIqF0lJSYGrqyt27doFXV1d7Nq1C23atAHwqcBq0qQJAgMD0a5dO1y6dAkmJiZqj2H06NF48OABChcujBUrVkAmk6l9jC/R0dHBlClTvstYREREREQZ4ax9ucTnm91+LqL27NmjKKKAT4WGn58fChcujPv376Nv374QQqg1hr/++gsrV64EAGzatAlmZmZq7Z+IiIiIKLdgIZVLbN68GVu2bIGOjg727t37xfslWVlZYffu3YpCa9SoUfjw4YNaxo+MjES/fv0AAL///jucnZ3V0i8RERERUW7EQioXePz4MYYOHQoAmDZtGlxcXL7atmbNmliyZAkAYNGiRShSpAj69++PGzduZCuGsWPH4s2bNyhbtiy8vb2z1RcRERERUW7HQiqH+3xdVGxsLOrVq4dx48ZluM7AgQOxZcsWVKpUCQkJCVi7di0qV66MNWvWZCmG06dPY+3atQCANWvWwMDAIEv9EBERERHlFSykcrjp06fj4sWLKFCgALZs2ZKp2epkMhl69OiBa9eu4fTp04prqQYNGoSAgACVxk9KSsJvv/0GAPjtt99Qp04d1TeCiIiIiCiPYSGVg506dUpxGt2qVatQrFgxldaXyWSoW7cu9u3bp5iyvGPHjrh7926m+5gzZw7u378PGxsbzJ07V6XxiYiIiIjyKhZSOdSLFy/QqVMnyOVy9OnTB507d85yXzKZDGvXrkXt2rURFRUFFxcXvH37NsP1Lly4oCjklixZggIFCmQ5BiIiIiKivISFVA6UkJCADh064N27d6hSpQqWLVuW7T719fWxb98+lCxZEk+ePIGzszPOnj37xbYfP37EsGHDULt2bSQnJ6Nly5bo1KlTtmMgIiIiIsoreEPeHEYIgXHjxuHKlSuwsLDAvn37YGhoqJa+LS0t8ddff6FOnTq4efMm6tatiw4dOmDmzJnQ1tbG48ePcfv2bcyfPx9v3rwBAHTv3h1Lly79bjfeJSIiIiLKDVhI5TA+Pj7YtWsXtLW1sXPnThQvXlyt/ZcrVw63b9/GlClTsG7dOuzZswd79uxJ165MmTJYvnw5GjZsqNbxiYiIiIjyAp7al4O8ePECY8aMAQDMmzcPDRo0kGQcGxsbrF69GtevX0fTpk0BAIaGhrC3t0ebNm2wcOFCXL9+nUUUEREREdFX8IhUDlKsWDH4+fnhwIEDGDFihOTj2dvb4+jRo4iLi4ORkRFP3yMiIiIiyiQWUjlM27Zt4ejo+F2LGmNj4+82FhERERFRXsBT+4iIiIiIiFTEQoqIiIiIiEhFLKSIiIiIiIhUlGcKqeXLl8POzg4GBgZwcHDAmTNnNB0SERERERHlUXmikNqxYwc8PDwwceJEXL16FXXr1kXz5s3x4sULTYdGRERERER5UJ4opBYuXAh3d3f069cP5cqVw+LFi1G0aFGsWLFC06EREREREVEelOsLqeTkZFy+fBlNmjRRWt6kSRMEBwdrKCoiIiIiIsrLcv19pN69e4e0tDRYW1srLbe2tkZ4ePgX10lKSkJSUpLieXR0NABALpdDLpdLF2wmyOVyCCE0HkdexhxLi/mVHnMsLeZXesyxtJhf6THH0tJ0fjM7bq4vpD777w1shRBfvant7NmzMW3atHTL3759i8TEREniyyy5XI6oqCgIIaCllesPGOZIzLG0mF/pMcfSYn6lxxxLi/mVHnMsLU3nNyYmJlPtcn0hZWFhAW1t7XRHnyIiItIdpfrM09MTI0eOVDyPiopCsWLFoK+vDwMDA0njzYhcLkdsbCwMDAz4wZQIcywt5ld6zLG0mF/pMcfSYn6lxxxLS9P5TU5OBvDpwMy35PpCSk9PDw4ODvD390e7du0Uy/39/dGmTZsvrqOvrw99fX3F88+n9hUvXlzaYImIiIiIKFeIiYmBqanpV1/P9YUUAIwcORI9e/ZEtWrVUKtWLaxevRovXrzAwIEDM7W+ra0tXr58ifz583/1dMDvJTo6GkWLFsXLly9hYmKi0VjyKuZYWsyv9JhjaTG/0mOOpcX8So85lpam8yuEQExMDGxtbb/ZLk8UUl26dMH79+8xffp0hIWFwd7eHn///XemjzBpaWmhSJEiEkepGhMTE34wJcYcS4v5lR5zLC3mV3rMsbSYX+kxx9LSZH6/dSTqszxRSAHA4MGDMXjwYE2HQUREREREPwBeHUdERERERKQiFlI5jL6+PqZOnao0GQapF3MsLeZXesyxtJhf6THH0mJ+pcccSyu35FcmMprXj4iIiIiIiJTwiBQREREREZGKWEgRERERERGpiIUUERERERGRilhIERERERERqYiFVA6zfPly2NnZwcDAAA4ODjhz5oymQ8qVZs+ejV9//RX58+eHlZUV2rZti/v37yu16d27N2QymdKjZs2aGoo4d/Hy8kqXOxsbG8XrQgh4eXnB1tYWhoaGcHJywu3btzUYce5TokSJdDmWyWQYMmQIAO6/qjp9+jRatWoFW1tbyGQy7N+/X+n1zOyzSUlJGDZsGCwsLGBsbIzWrVsjNDT0O25FzvatHKekpGDcuHGoWLEijI2NYWtri169euH169dKfTg5OaXbr7t27fqdtyRnymgfzsx3Avfhb8sox1/6TpbJZJg/f76iDffhr8vMb7Pc9l3MQioH2bFjBzw8PDBx4kRcvXoVdevWRfPmzfHixQtNh5brBAUFYciQIbhw4QL8/f2RmpqKJk2aIC4uTqlds2bNEBYWpnj8/fffGoo496lQoYJS7m7evKl4bd68eVi4cCF8fHwQEhICGxsbNG7cGDExMRqMOHcJCQlRyq+/vz8AoFOnToo23H8zLy4uDpUrV4aPj88XX8/MPuvh4YF9+/bBz88PZ8+eRWxsLFxcXJCWlva9NiNH+1aO4+PjceXKFUyePBlXrlzB3r178eDBA7Ru3Tpd2/79+yvt16tWrfoe4ed4Ge3DQMbfCdyHvy2jHP87t2FhYVi/fj1kMhk6dOig1I778Jdl5rdZrvsuFpRjVK9eXQwcOFBpWdmyZcX48eM1FFHeERERIQCIoKAgxTI3NzfRpk0bzQWVi02dOlVUrlz5i6/J5XJhY2Mj5syZo1iWmJgoTE1NxcqVK79ThHnPiBEjRKlSpYRcLhdCcP/NDgBi3759iueZ2Wc/fvwodHV1hZ+fn6LNq1evhJaWljh69Oh3iz23+G+Ov+TSpUsCgHj+/LliWf369cWIESOkDS4P+FJ+M/pO4D6smszsw23atBENGzZUWsZ9OPP++9ssN34X84hUDpGcnIzLly+jSZMmSsubNGmC4OBgDUWVd0RFRQEAzMzMlJafOnUKVlZW+Pnnn9G/f39ERERoIrxc6eHDh7C1tYWdnR26du2KJ0+eAACePn2K8PBwpX1ZX18f9evX576cRcnJydi6dSv69u0LmUymWM79Vz0ys89evnwZKSkpSm1sbW1hb2/P/TqLoqKiIJPJUKBAAaXl27Ztg4WFBSpUqIDRo0fzSLYKvvWdwH1Yvd68eYPDhw/D3d093WvchzPnv7/NcuN3sc53H5G+6N27d0hLS4O1tbXScmtra4SHh2soqrxBCIGRI0eiTp06sLe3Vyxv3rw5OnXqhOLFi+Pp06eYPHkyGjZsiMuXL+f4O2lrWo0aNbB582b8/PPPePPmDWbOnAlHR0fcvn1bsb9+aV9+/vy5JsLN9fbv34+PHz+id+/eimXcf9UnM/tseHg49PT0ULBgwXRt+B2tusTERIwfPx7du3eHiYmJYrmrqyvs7OxgY2ODW7duwdPTE9evX1ec2kpfl9F3Avdh9dq0aRPy58+P9u3bKy3nPpw5X/ptlhu/i1lI5TD//msz8GlH++8yUs3QoUNx48YNnD17Vml5ly5dFP+2t7dHtWrVULx4cRw+fDjdFyMpa968ueLfFStWRK1atVCqVCls2rRJcXEz92X1WbduHZo3bw5bW1vFMu6/6peVfZb7tepSUlLQtWtXyOVyLF++XOm1/v37K/5tb2+P0qVLo1q1arhy5QqqVq36vUPNVbL6ncB9OGvWr18PV1dXGBgYKC3nPpw5X/ttBuSu72Ke2pdDWFhYQFtbO101HRERka4yp8wbNmwYDh48iMDAQBQpUuSbbQsVKoTixYvj4cOH3ym6vMPY2BgVK1bEw4cPFbP3cV9Wj+fPnyMgIAD9+vX7Zjvuv1mXmX3WxsYGycnJiIyM/GobylhKSgo6d+6Mp0+fwt/fX+lo1JdUrVoVurq63K+z4L/fCdyH1efMmTO4f/9+ht/LAPfhL/nab7Pc+F3MQiqH0NPTg4ODQ7pDv/7+/nB0dNRQVLmXEAJDhw7F3r17cfLkSdjZ2WW4zvv37/Hy5UsUKlToO0SYtyQlJeHu3bsoVKiQ4pSGf+/LycnJCAoK4r6cBRs2bICVlRVatmz5zXbcf7MuM/usg4MDdHV1ldqEhYXh1q1b3K8z6XMR9fDhQwQEBMDc3DzDdW7fvo2UlBTu11nw3+8E7sPqs27dOjg4OKBy5coZtuU+/D8Z/TbLld/F3316C/oqPz8/oaurK9atWyfu3LkjPDw8hLGxsXj27JmmQ8t1Bg0aJExNTcWpU6dEWFiY4hEfHy+EECImJkaMGjVKBAcHi6dPn4rAwEBRq1YtUbhwYREdHa3h6HO+UaNGiVOnToknT56ICxcuCBcXF5E/f37Fvjpnzhxhamoq9u7dK27evCm6desmChUqxNyqKC0tTRQrVkyMGzdOaTn3X9XFxMSIq1eviqtXrwoAYuHCheLq1auKGeMys88OHDhQFClSRAQEBIgrV66Ihg0bisqVK4vU1FRNbVaO8q0cp6SkiNatW4siRYqIa9euKX0vJyUlCSGEePTokZg2bZoICQkRT58+FYcPHxZly5YVVapUYY7Ft/Ob2e8E7sPfltH3hBBCREVFCSMjI7FixYp063Mf/raMfpsJkfu+i1lI5TDLli0TxYsXF3p6eqJq1apK03VT5gH44mPDhg1CCCHi4+NFkyZNhKWlpdDV1RXFihUTbm5u4sWLF5oNPJfo0qWLKFSokNDV1RW2traiffv24vbt24rX5XK5mDp1qrCxsRH6+vqiXr164ubNmxqMOHc6duyYACDu37+vtJz7r+oCAwO/+J3g5uYmhMjcPpuQkCCGDh0qzMzMhKGhoXBxcWHO/+VbOX769OlXv5cDAwOFEEK8ePFC1KtXT5iZmQk9PT1RqlQpMXz4cPH+/XvNblgO8a38ZvY7gfvwt2X0PSGEEKtWrRKGhobi48eP6dbnPvxtGf02EyL3fRfLhBBCooNdREREREREeRKvkSIiIiIiIlIRCykiIiIiIiIVsZAiIiIiIiJSEQspIiIiIiIiFbGQIiIiIiIiUhELKSIiIiIiIhWxkCIiIiIiIlIRCykiIvpheHl54ZdfftF0GERElAfwhrxERJQnyGSyb77u5uYGHx8fJCUlwdzc/DtFRUREeRULKSIiyhPCw8MV/96xYwemTJmC+/fvK5YZGhrC1NRUE6EREVEexFP7iIgoT7CxsVE8TE1NIZPJ0i3776l9vXv3Rtu2beHt7Q1ra2sUKFAA06ZNQ2pqKsaMGQMzMzMUKVIE69evVxrr1atX6NKlCwoWLAhzc3O0adMGz549+74bTEREGsVCioiIfmgnT57E69evcfr0aSxcuBBeXl5wcXFBwYIFcfHiRQwcOBADBw7Ey5cvAQDx8fFo0KAB8uXLh9OnT+Ps2bPIly8fmjVrhuTkZA1vDRERfS8spIiI6IdmZmaGP//8E2XKlEHfvn1RpkwZxMfHY8KECShdujQ8PT2hp6eHc+fOAQD8/PygpaWFtWvXomLFiihXrhw2bNiAFy9e4NSpU5rdGCIi+m50NB0AERGRJlWoUAFaWv/7u6K1tTXs7e0Vz7W1tWFubo6IiAgAwOXLl/Ho0SPkz59fqZ/ExEQ8fvz4+wRNREQax0KKiIh+aLq6ukrPZTLZF5fJ5XIAgFwuh4ODA7Zt25auL0tLS+kCJSKiHIWFFBERkQqqVq2KHTt2wMrKCiYmJpoOh4iINITXSBEREanA1dUVFhYWaNOmDc6cOYOnT58iKCgII0aMQGhoqKbDIyKi74SFFBERkQqMjIxw+vRpFCtWDO3bt0e5cuXQt29fJCQk8AgVEdEPhDfkJSIiIiIiUhGPSBEREREREamIhRQREREREZGKWEgRERERERGpiIUUERERERGRilhIERERERERqYiFFBERERERkYpYSBEREREREamIhRQREREREZGKWEgRERERERGpiIUUERERERGRilhIERERERERqYiFFBERERERkYr+DyZm4aCl6i3BAAAAAElFTkSuQmCC", "text/plain": [ "<Figure size 1000x350 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run_sequence_plot(time, trend_seasonality, title=\"Time series with trend and seasonality\");" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" }, "tags": [] }, "source": [ "- Is this data not stationary?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" }, "tags": [] }, "source": [ "- No, the mean changes over time because of the trend AND there is a periodic component." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "#### Sinusoidal signal with random phase\n", "\n", "- Consider the sinusoidal signal \n", "\n", "$$X(t) = \\mu + R \\sin(\\lambda t + \\psi)$$\n", "\n", "- where $\\mu$ is the mean, $R$ is the amplitude, $\\lambda$ is the frequency, and $\\psi$ is the phase uniformly distributed over the range $[- \\pi, \\pi]$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- Is this a periodic signal?\n", "- Does it satisfy the conditions for weak stationarity?" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "- Due to the periodic and symmetric nature of the sine function, when $\\psi$ is uniformly distributed over $[-\\pi, \\pi]$, every value of $\\psi$ that leads to a positive value is balanced by a corresponding value of $\\psi$ that leads to a negative value of the same magnitude. \n", "- This balance means that $\\mathbb{E}\\big[ \\sin(\\lambda t + \\psi) \\big]=0$, therefore:\n", "\n", "$$\n", "\\begin{aligned}\n", "\\mathbb{E}[x_t]&=\\mu + R~\\mathbb{E}[\\sin(\\lambda t + \\psi)]= \\mu + 0 = \\mu\n", "\\end{aligned}\n", "$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- The **mean** of $\\mu + R \\sin(\\lambda t + \\psi)$ is $\\mu$, which is constant.\n", "- Condition #1 is satisfied ✌\n", "- Let's verify it also with code." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "8.346123392671214e-16\n" ] } ], "source": [ "# Arbitrarily set the coefficients\n", "R = 1.3\n", "lamb = 3.5\n", "t = 4\n", "\n", "# Function to integrate\n", "def func(psi):\n", " return R*np.sin(lamb*t + psi)\n", "\n", "# Perform the numerical integration over the interval [-pi, pi]\n", "mean, _ = quad(func, -np.pi, np.pi) # Change the interval to get an expectation != 0\n", "print(mean)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- The **variance** of a random variable $X$ given by:\n", "\n", "$$\\text{Var}(X) = \\mathbb{E}[X^2] - (\\mathbb{E}[X])^2$$\n", "\n", "- Let's first consider $\\sin(\\lambda t + \\psi)$ for which we know $\\mathbb{E}[\\sin(\\lambda t + \\psi)] = 0$\n", "- The variance simplifies to:\n", "\n", "$$\\text{Var}(\\sin(\\lambda t + \\psi)) = \\mathbb{E}[\\sin^2(\\lambda t + \\psi)]$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- Since $\\psi$ is uniformly distributed over $[- \\pi, \\pi]$, the pdf of $\\psi$ is:\n", "\n", "$$p(\\psi) = \\frac{1}{2\\pi}$$\n", "\n", "- Therefore, the variance of $\\sin^2(\\lambda t + \\psi)$ is:\n", "\n", "\\begin{align*}\n", "\\mathbb{E}[\\sin^2(\\lambda t + \\psi)] & = \\int_{-\\pi}^{\\pi} \\sin^2(\\lambda t + \\psi) p(\\psi) d\\psi\\\\\n", "&= \\frac{1}{2\\pi} \\int_{-\\pi}^{\\pi} \\sin^2(\\lambda t + \\psi) d\\psi\n", "\\end{align*}" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- For any $x$, we have that $\\int_{-\\pi}^{\\pi} \\sin^2(x) dx = \\pi$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "<img src=\"media/int.png\" style=\"width: 40%; display: block; margin: auto;\">" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- This, gives us:\n", "\n", "$$\\text{Var}(\\sin(\\lambda t + \\psi)) = \\mathbb{E}[\\sin^2(\\lambda t + \\psi)] = \\frac{1}{2\\pi}\\pi = \\frac{1}{2}$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- It is easy to see that $\\text{Var}[\\mu + R\\sin(\\lambda t + \\psi)]$ is $\\frac{R^2}{2}$.\n", "- We conclude that the variance is finite and constant.\n", "- Also condition #2 is satisfied ✌" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "4.499999999999999\n" ] } ], "source": [ "R = 3\n", "lamb = 6.5\n", "t = 4\n", "\n", "def func_sin2(psi):\n", " return ((R*np.sin(lamb*t + psi))**2) / (2*np.pi)\n", "\n", "# Perform the numerical integration\n", "variance, _ = quad(func_sin2, -np.pi, np.pi)\n", "print(variance)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "- The autocovariance function for a lag $h$ is defined as: \n", "\n", "$$\\text{Cov}(X(t), X(t+h)) = \\mathbb{E}[(X(t) - \\mu)(X(t+h) - \\mu)]$$\n", "\n", "- Since $X(t) = \\mu + R \\sin(\\lambda t + \\psi)$, the autocovariance becomes: \n", "\n", "$$\\text{Cov}(X(t), X(t+h)) = \\mathbb{E}\\left[\\left(R \\sin(\\lambda t + \\psi)\\right)\\left(R \\sin(\\lambda (t + h) + \\psi)\\right)\\right]$$\n", "\n", "$$= R^2 \\mathbb{E}\\left[\\sin(\\lambda t + \\psi) \\sin(\\lambda (t + h) + \\psi)\\right]$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "- Now, we use the trigonometric identity:\n", "\n", "$$\\sin(A) \\sin(B) = \\frac{1}{2}[\\cos(A - B) - \\cos(A + B)]$$\n", "\n", "- Applying this identity, we get:\n", "\n", "\\begin{align*}\n", "\\text{Cov}(x_t, x_{t+h}) & = R^2 \\mathbb{E}\\left[\\frac{1}{2}[\\cos(\\lambda t + \\psi - \\lambda (t + h) - \\psi) - \\cos(\\lambda t + \\psi + \\lambda (t + h) + \\psi)]\\right]\\\\\n", "& = \\frac{R^2}{2} \\mathbb{E}\\left[\\cos(\\lambda h) - \\cos(2\\lambda t + 2\\psi + \\lambda h)\\right]\\\\\n", "& = \\frac{R^2}{2} \\mathbb{E}\\left[\\cos(\\lambda h)\\right] - \\frac{R^2}{2} \\mathbb{E}\\left[\\cos(2\\lambda t + 2\\psi + \\lambda h)\\right] \\end{align*} " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "- The expectation is taken over the random variable $\\psi$. \n", "- Following the same reasoning we did for the mean, $\\cos(2\\lambda t + 2\\psi + \\lambda \\tau)$ averages out to zero because $\\psi$ is uniformly distributed over $[- \\pi, \\pi]$.\n", "- Thus:\n", "\n", "$$\\text{Cov}(x_t, x_{t+h}) = \\frac{R^2}{2} \\mathbb{E}\\left[\\cos(\\lambda h)\\right]$$\n", "\n", "- So, the autocovariance function depends only on the lag $h$ and is *independent* of time $t$. \n", "- Also condition #3 is satisfied ✌." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "In conclusion, the time series $X(t) = \\mu + R \\sin(\\lambda t + \\psi)$ is weakly stationary: \n", "\n", "- its mean is constant,\n", "- its variance is constant, \n", "- its autocovariance depends only on the lag $h$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "How does $X(t) = \\mu + R \\sin(\\lambda t + \\psi)$ looks like?" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "slideshow": { "slide_type": "fragment" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 1000x350 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "R = 1.3\n", "lamb = 3.5\n", "phi = np.random.uniform(-np.pi, np.pi, len(time))\n", "cyc = R * np.sin(lamb * time + phi)\n", "run_sequence_plot(time, cyc, title=\"Sinusoidal time series with random phase\");" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "**📨 Take-away message**\n", "- A time series obtained from a periodic function might be weakly stationary.\n", "- The presence of periodic functions is not explicitly stated in the 3 conditions.\n", "- Be careful when you determine weak stationarity based on periodic components." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "---" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Detecting stationarity" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "Next, we will review practical techniques used to identify if a time series is stationary or not. \n", "\n", "Specifically, we will cover:\n", "1. Run-sequence plots\n", "2. Summary statistics\n", "3. Augmented Dickey-Fuller test" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "### Run-Sequence Plots\n", "\n", "- Run-sequence plots allows to visualize what's happening with the data. \n", "- This should always be your starting point. \n", "- Indeed, that is what we have been doing so far with our function `run_sequence_plot`. \n", "- It often shows whether there is an underlying structure.\n", "- Be on the lookout for trend, seasonality, and autocorrelation." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "### Summary Statistics " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" }, "tags": [] }, "source": [ "- An easy way to check for constant mean and variance is to chop up the data into separate chunks.\n", "- Then, one calculates statistics for each chunk, and compare them. \n", "- Large deviations in either the mean or the variance among chunks might indicate that the time series is nonstationary.\n", "- It's not a rigorous method but gives a good hint of whether the data is approximately stationary or not." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "This is how a stationary time series looks like." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "<img src=\"media/stationary_chunk.png\" style=\"width: 45%; display: block; margin: auto;\">" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "This is how a non-stationary time series looks like." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "<img src=\"media/nonstationary_chunk.png\" style=\"width: 45%; display: block; margin: auto;\">" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- Let's look at an example based on the `trend` time series that we created before." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "# split data into 10 chunks\n", "chunks = np.split(trend, indices_or_sections=10)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "Summary statistics:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Chunk\t | Mean\t\t | Variance\n", "-----------------------------------\n", " 1\t | 26.694\t | 241.23\n", " 2\t | 81.181\t | 255.62\n", " 3\t | 135.73\t | 258.47\n", " 4\t | 190.77\t | 257.08\n", " 5\t | 246.55\t | 257.82\n", " 6\t | 301.62\t | 259.15\n", " 7\t | 356.19\t | 249.28\n", " 8\t | 411.09\t | 244.11\n", " 9\t | 466.14\t | 245.37\n", "10\t | 520.99\t | 275.11\n" ] } ], "source": [ "print(\"{}\\t | {}\\t\\t | {}\".format(\"Chunk\", \"Mean\", \"Variance\"))\n", "print(\"-\" * 35)\n", "for i, chunk in enumerate(chunks, 1):\n", " print(\"{:2}\\t | {:.5}\\t | {:.5}\".format(i, np.mean(chunk), np.var(chunk)))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" }, "tags": [] }, "source": [ "- While the variance is relatively constant over time, the mean is clearly changing, which means this data is not stationary. \n", "- We do expect some fluctuation in values. \n", "- It's unlikely that mean and variance will be exactly the same in all chunk, but they should be close. " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "- To see this better, it's a good idea to plot the means and variances.\n", "- If you want to be more precise, you could run a statistical test to determine if the difference in means or the difference in variances is statistically significant." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "### Augmented Dickey-Fuller Test\n", "\n", "- This is a statistical procedure to determine whether a time series is stationary or not. \n", "- We will discuss more details about the test in the next lectures.\n", "- For now, that's what we need to know:\n", " 1. **Null hypothesis:** $H_0$: the series is nonstationary.\n", " 2. **Alternative hypothesis:** $H_A$: the series is stationary." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- Like any statistical test you should set a significance level or threshold that determines whether you should accept or reject the null. \n", "- The values $\\alpha=0.05$ or $\\alpha=0.01$, which yield a confidence of $95\\%$ and $99\\%$, respectively, are common choices." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Example: $p = 0.0001 \\rightarrow$ reject $H_0 \\rightarrow$ the time series is stationary" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Example: $p = 0.43 \\rightarrow$ fail to reject $H_0 \\rightarrow$ the time series is non-stationary" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- The ADF test might be inaccurate with small datasets or when heteroskedasticity is present.\n", "- It is best to pair ADF with other techniques (run-sequence plots, summary statistics, histograms, etc..)." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "#### Stationary Data & ADF\n", "\n", "- Let's see how to run this test in Python." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "adf, pvalue, usedlag, nobs, critical_values, icbest = adfuller(stationary)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "- Let's see and comment the main outputs from the ADF test. " ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ADF: -13.56\n" ] } ], "source": [ "print(f\"ADF: {adf:.2f}\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "- First, `adf` is the value of the test statistic. \n", "- The more negative the value, the more confident we can be that the series is stationary. \n", "- Here we see a negative value. \n", "- That may not mean anything to you just yet but `pvalue` should." ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "p-value: 2.300172138070688e-25\n" ] } ], "source": [ "print(f\"p-value: {pvalue}\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "- The `pvalue` is interpreted like any p-value. \n", "- The `pvalue` should be compared with the confidence levels (e.g., $\\alpha=0.05$ or $\\alpha=0.01$).\n", "- Based on the comparison, we reject or fail to reject $H_0$. \n", "- Here ``pvalue`` is very close to zero so we **reject** the $H_0$ in favor of $H_A$ and conclude that the time series is stationary." ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "nobs: 199\n" ] } ], "source": [ "print(f\"nobs: {nobs}\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "- The variable `nobs` is simply the number of observations in the time series." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "critical values: {'1%': -3.4636447617687436, '5%': -2.8761761179270766, '10%': -2.57457158581854}\n" ] } ], "source": [ "print(f\"critical values: {critical_values}\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "- Finally, ``critical_values`` are the test statistic thresholds for common significant levels. \n", "- Here we see a test statistic lower than -2.87 is sufficient to reject $H_0$ at a significance level of 5%." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" }, "tags": [] }, "source": [ "- You may have noticed two outputs we didn't discuss. \n", "- See [statsmodels docs](http://www.statsmodels.org/stable/generated/statsmodels.tsa.stattools.adfuller.html) for a description of ``usedlag`` and ``icbest``." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "#### ADF on time series with trend\n", "- Next, we run the ADF test on the `trend` time series. " ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ADF: 0.82\n", "p-value: 0.992\n" ] } ], "source": [ "adf, pvalue, usedlag, nobs, critical_values, icbest = adfuller(trend, regression='c')\n", "print(f\"ADF: {adf:.2f}\")\n", "print(f\"p-value: {pvalue:.3f}\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" }, "tags": [] }, "source": [ "- As expected, we fail to reject $H_0$ that the `trend` time series is nonstationary." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "### ADF on random walk\n", "\n", "- Finally, we run the ADF test on the `rand_walk` time series." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ADF: -1.03\n", "p-value: 0.741\n" ] } ], "source": [ "adf, pvalue, usedlag, nobs, critical_values, icbest = adfuller(rand_walk, regression='c')\n", "print(f\"ADF: {adf:.2f}\")\n", "print(f\"p-value: {pvalue:.3f}\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" }, "tags": [] }, "source": [ "- As we discussed before, the random walk is nonstationary because its variance $\\sigma^2t$ is not constant over time.\n", "- In the next section, we'll learn how to make this time series stationary." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "- Good news 😎. At this point, we have several tools at our disposal to figure out if a time series is stationary or not." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "---" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" }, "tags": [] }, "source": [ "## Common transformations to achieve stationarity" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- There are several ways to transform nonstationary time series data:\n", "\n", "Transformation | Effect\n", ":---|:---\n", "Subtract trend | Constant mean\n", "Apply log | Constant variance\n", "Differencing | Remove autocorrelation \n", "Seasonal differencing | Remove periodic component\n", "\n", "- Sometimes you'll have to do multiple transformations on the same dataset.\n", "- Note that this is just a small subset of the total possible ways to transform nonstationary time series. " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "### Subtract estimated trend & seasonality" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "- Let's run the ADF test before transforming." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ADF: 1.01\n", "p-value: 0.994\n" ] } ], "source": [ "adf_b4, pvalue_b4, _, _, _, _ = adfuller(trend_seasonality)\n", "print(f\"ADF: {adf_b4:.2f}\")\n", "print(f\"p-value: {pvalue_b4:.3f}\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" }, "tags": [] }, "source": [ "- Nonstationary as expected. \n", "- Next, we apply the decomposition." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "outputs": [], "source": [ "ss_decomposition = seasonal_decompose(x=trend_seasonality, model='additive', period=12)\n", "est_trend = ss_decomposition.trend\n", "est_seasonal = ss_decomposition.seasonal\n", "est_residual = ss_decomposition.resid" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 1000x350 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run_sequence_plot(time, est_trend, title=\"Trend\", ylabel=\"series\");" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 1000x350 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run_sequence_plot(time, est_seasonal, title=\"Seasonality\", ylabel=\"series\");" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 1000x350 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run_sequence_plot(time, est_residual, title=\"Residuals\", ylabel=\"series\");" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "- Let's look at the residual values." ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ nan nan nan nan nan nan\n", " 1.24368173 -2.62651313 -0.10234455 -0.73531189 -0.1829664 2.04130761\n", " -0.65755141 -0.46722156 0.39903068 0.38172731 2.54722749 -0.46031003\n", " 1.15158029 -2.95123128]\n", "...\n", "[-0.68317918 -1.30938778 0.15957658 -3.17218197 2.33379231 -1.80387318\n", " -0.33741986 0.1581179 0.82029446 3.25311048 -1.70643665 0.83606969\n", " -1.55215866 -2.8317032 nan nan nan nan\n", " nan nan]\n" ] } ], "source": [ "print(est_residual[:20])\n", "print('...')\n", "print(est_residual[-20:])" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "- We'll have to remove the first $6$ and last $6$ values to run an ADF test since those are `nan`. \n", "- The number 6 is due to the fact that the method applies seasonal differencing and we specified `period=12`.\n", "- Here's how to do that and run the test all in one call." ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "slideshow": { "slide_type": "fragment" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ADF: -6.61\n", "p-value: 0.000\n" ] } ], "source": [ "adf_after, pvalue_after, _, _, _, _ = adfuller(est_residual[6:-6])\n", "print(f\"ADF: {adf_after:.2f}\")\n", "print(f\"p-value: {pvalue_after:.3f}\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" }, "tags": [] }, "source": [ "- Now the time series is stationary ✌." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "### Stabilize variance with log transform\n", "\n", "- This trick is useful when dealing with heteroskedastic data. \n", "- The log squashes the parts of the time series where the variance is higher.\n", "- In this way, the variance becomes more uniform.\n", "- Let's plot again the heteroskedastic times series to remember how it looks." ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 1000x350 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run_sequence_plot(time, heteroscedasticity, title=\"Heteroskedastic time series\");" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "- Let's run the ADF test." ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ADF: -2.49\n", "p-value: 0.118\n" ] } ], "source": [ "adf_b4, pvalue_b4, _, _, _, _ = adfuller(heteroscedasticity)\n", "print(f\"ADF: {adf_b4:.2f}\")\n", "print(f\"p-value: {pvalue_b4:.3f}\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" }, "tags": [] }, "source": [ "- ADF is saying we cannot reject $H_0$ in favor of the alternative (the time series is stationary). " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "- Let's now apply the log transformation.\n", "- Before that, we subtract the minimum and add a small constant \n", "- In this way we ensure that all values are positive before taking the log." ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "slideshow": { "slide_type": "fragment" }, "tags": [] }, "outputs": [], "source": [ "# Ensure all data are positive\n", "new_hetero = heteroscedasticity - heteroscedasticity.min() + 1.0\n", "\n", "# Apply the log\n", "log_new_hetero = np.log(new_hetero)" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 1000x350 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run_sequence_plot(time, log_new_hetero, title=\"Log heteroskedastic time series\");" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" }, "tags": [] }, "source": [ "- Look at the values on the $y$ axis.\n", "- Notice how the variance has collapsed to a large extent. " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- Let's compute again the ADF test:" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ADF: -3.27\n", "p-value: 0.016\n" ] } ], "source": [ "adf_log, pvalue_log, _, _, _, _ = adfuller(log_new_hetero)\n", "print(f\"ADF: {adf_log:.2f}\")\n", "print(f\"p-value: {pvalue_log:.3f}\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" }, "tags": [] }, "source": [ "- We now see that the p-value decreased quite a lot.\n", "- We still cannot reject $H_0$ at confidence level $\\alpha=0.01$, but we can at $\\alpha=0.05$." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "### Removing autocorrelation with differencing\n", "\n", "- Remember that the ADF test (correctly) indicated that the `rand_walk` time series is nonstationary.\n", "- We can transform `rand_walk` into stationary time series by applying differencing. \n", "- This is done by subtracting a past value from the current value." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "- We know that `rand_walk` was created with a lag of 1. \n", "- So, a stationary time series can be obtained as:\n", "\n", "$$\\hat{X}(t) = X(t) - X(t-1)$$ " ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "difference = rand_walk[:-1] - rand_walk[1:]" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 1000x350 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "run_sequence_plot(time[:-1], difference, title=\"Random walk after differencing\");" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "- Let's run ADF on the differenced data." ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ADF: -14.60\n", "p-value: 0.000\n" ] } ], "source": [ "adf_after, pvalue_after, _, _, _, _ = adfuller(difference)\n", "print(f\"ADF: {adf_after:.2f}\")\n", "print(f\"p-value: {pvalue_after:.3f}\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" }, "tags": [] }, "source": [ "- Now it's stationary!" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- Let's see another example.\n", "- We create a small dataframe from 1-10 (linear and squared)." ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<div>\n", "<style scoped>\n", " .dataframe tbody tr th:only-of-type {\n", " vertical-align: middle;\n", " }\n", "\n", " .dataframe tbody tr th {\n", " vertical-align: top;\n", " }\n", "\n", " .dataframe thead th {\n", " text-align: right;\n", " }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>original</th>\n", " <th>squared</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>0</th>\n", " <td>1</td>\n", " <td>1</td>\n", " </tr>\n", " <tr>\n", " <th>1</th>\n", " <td>2</td>\n", " <td>4</td>\n", " </tr>\n", " <tr>\n", " <th>2</th>\n", " <td>3</td>\n", " <td>9</td>\n", " </tr>\n", " <tr>\n", " <th>3</th>\n", " <td>4</td>\n", " <td>16</td>\n", " </tr>\n", " <tr>\n", " <th>4</th>\n", " <td>5</td>\n", " <td>25</td>\n", " </tr>\n", " <tr>\n", " <th>5</th>\n", " <td>6</td>\n", " <td>36</td>\n", " </tr>\n", " <tr>\n", " <th>6</th>\n", " <td>7</td>\n", " <td>49</td>\n", " </tr>\n", " <tr>\n", " <th>7</th>\n", " <td>8</td>\n", " <td>64</td>\n", " </tr>\n", " <tr>\n", " <th>8</th>\n", " <td>9</td>\n", " <td>81</td>\n", " </tr>\n", " <tr>\n", " <th>9</th>\n", " <td>10</td>\n", " <td>100</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " original squared\n", "0 1 1\n", "1 2 4\n", "2 3 9\n", "3 4 16\n", "4 5 25\n", "5 6 36\n", "6 7 49\n", "7 8 64\n", "8 9 81\n", "9 10 100" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = pd.DataFrame([[x for x in range(1,11)], [x**2 for x in range(1,11)]]).T\n", "df.columns = ['original', 'squared']\n", "df" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- Make stationary the first time series (``original``) so that mean and variance don't change for sub-windows." ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<div>\n", "<style scoped>\n", " .dataframe tbody tr th:only-of-type {\n", " vertical-align: middle;\n", " }\n", "\n", " .dataframe tbody tr th {\n", " vertical-align: top;\n", " }\n", "\n", " .dataframe thead th {\n", " text-align: right;\n", " }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>1st order difference</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>0</th>\n", " <td>NaN</td>\n", " </tr>\n", " <tr>\n", " <th>1</th>\n", " <td>1.0</td>\n", " </tr>\n", " <tr>\n", " <th>2</th>\n", " <td>1.0</td>\n", " </tr>\n", " <tr>\n", " <th>3</th>\n", " <td>1.0</td>\n", " </tr>\n", " <tr>\n", " <th>4</th>\n", " <td>1.0</td>\n", " </tr>\n", " <tr>\n", " <th>5</th>\n", " <td>1.0</td>\n", " </tr>\n", " <tr>\n", " <th>6</th>\n", " <td>1.0</td>\n", " </tr>\n", " <tr>\n", " <th>7</th>\n", " <td>1.0</td>\n", " </tr>\n", " <tr>\n", " <th>8</th>\n", " <td>1.0</td>\n", " </tr>\n", " <tr>\n", " <th>9</th>\n", " <td>1.0</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " 1st order difference\n", "0 NaN\n", "1 1.0\n", "2 1.0\n", "3 1.0\n", "4 1.0\n", "5 1.0\n", "6 1.0\n", "7 1.0\n", "8 1.0\n", "9 1.0" ] }, "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.original.diff().to_frame(\"1st order difference\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "**💡 NOTE:** This is similar to taking a first-order derivative." ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<div>\n", "<style scoped>\n", " .dataframe tbody tr th:only-of-type {\n", " vertical-align: middle;\n", " }\n", "\n", " .dataframe tbody tr th {\n", " vertical-align: top;\n", " }\n", "\n", " .dataframe thead th {\n", " text-align: right;\n", " }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>2nd order difference</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>0</th>\n", " <td>NaN</td>\n", " </tr>\n", " <tr>\n", " <th>1</th>\n", " <td>NaN</td>\n", " </tr>\n", " <tr>\n", " <th>2</th>\n", " <td>2.0</td>\n", " </tr>\n", " <tr>\n", " <th>3</th>\n", " <td>2.0</td>\n", " </tr>\n", " <tr>\n", " <th>4</th>\n", " <td>2.0</td>\n", " </tr>\n", " <tr>\n", " <th>5</th>\n", " <td>2.0</td>\n", " </tr>\n", " <tr>\n", " <th>6</th>\n", " <td>2.0</td>\n", " </tr>\n", " <tr>\n", " <th>7</th>\n", " <td>2.0</td>\n", " </tr>\n", " <tr>\n", " <th>8</th>\n", " <td>2.0</td>\n", " </tr>\n", " <tr>\n", " <th>9</th>\n", " <td>2.0</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " 2nd order difference\n", "0 NaN\n", "1 NaN\n", "2 2.0\n", "3 2.0\n", "4 2.0\n", "5 2.0\n", "6 2.0\n", "7 2.0\n", "8 2.0\n", "9 2.0" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df.squared.diff().diff().to_frame(\"2nd order difference\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- Notice that we need to differentiate twice on the exponential time series.\n", "- Every time we do differencing we lose a bit of data." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- We can also try to make stationary the second time series (``squared``) with log." ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "text/html": [ "<div>\n", "<style scoped>\n", " .dataframe tbody tr th:only-of-type {\n", " vertical-align: middle;\n", " }\n", "\n", " .dataframe tbody tr th {\n", " vertical-align: top;\n", " }\n", "\n", " .dataframe thead th {\n", " text-align: right;\n", " }\n", "</style>\n", "<table border=\"1\" class=\"dataframe\">\n", " <thead>\n", " <tr style=\"text-align: right;\">\n", " <th></th>\n", " <th>log</th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>0</th>\n", " <td>0.000000</td>\n", " </tr>\n", " <tr>\n", " <th>1</th>\n", " <td>1.386294</td>\n", " </tr>\n", " <tr>\n", " <th>2</th>\n", " <td>2.197225</td>\n", " </tr>\n", " <tr>\n", " <th>3</th>\n", " <td>2.772589</td>\n", " </tr>\n", " <tr>\n", " <th>4</th>\n", " <td>3.218876</td>\n", " </tr>\n", " <tr>\n", " <th>5</th>\n", " <td>3.583519</td>\n", " </tr>\n", " <tr>\n", " <th>6</th>\n", " <td>3.891820</td>\n", " </tr>\n", " <tr>\n", " <th>7</th>\n", " <td>4.158883</td>\n", " </tr>\n", " <tr>\n", " <th>8</th>\n", " <td>4.394449</td>\n", " </tr>\n", " <tr>\n", " <th>9</th>\n", " <td>4.605170</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "text/plain": [ " log\n", "0 0.000000\n", "1 1.386294\n", "2 2.197225\n", "3 2.772589\n", "4 3.218876\n", "5 3.583519\n", "6 3.891820\n", "7 4.158883\n", "8 4.394449\n", "9 4.605170" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.log(df.squared).to_frame(\"log\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "- Works somewhat but certainly not as well as differencing." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- In general we do not know the optimal lag to perform differencing.\n", "- How to determine the optimal order of differentiation will be covered later on." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Seasonal differentiation\n", "\n", "- Consider a time series with a seasonality of period $L$.\n", "- There will be a strong correlation between $X(t)$ and $X(t+L)$.\n", "- Seasonal differentiation can remove the seasonality and make the time series stationary:\n", "\n", "$$\\hat{X}(t) = X(t+L) - X(t)$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "- After seasonal differencing the time series will become $L$ steps shorter.\n", "- Note that we can perform the standard differentiation in cascade to seasonal differentiation if we need to remove also the trend on top of the seasonality.\n", "- Let's see this on the `trend_seasonality` time series." ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "<Figure size 1000x350 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "trend_seasonality_d12 = (trend_seasonality[:-12] \n", " - trend_seasonality[12:]) # remove seasonality\n", "trend_seasonality_d12_d1 = (trend_seasonality_d12[:-1] \n", " - trend_seasonality_d12[1:]) # remove trend\n", "\n", "# Plot the differenced time series\n", "run_sequence_plot(time[:-13], trend_seasonality_d12_d1, title=\"Seasonal + 1st order differencing\");" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ADF: -5.28\n", "p-value: 0.000\n" ] } ], "source": [ "adf_after, pvalue_after, _, _, _, _ = adfuller(trend_seasonality_d12_d1)\n", "print(f\"ADF: {adf_after:.2f}\")\n", "print(f\"p-value: {pvalue_after:.3f}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" }, "tags": [] }, "source": [ "## Summary\n", "\n", "In this lecture we learned: \n", "1. What does it mean for a time series to be stationary.\n", "2. A set of notable stationary and nonstationary time series.\n", "2. Common tools to identify stationarity.\n", "3. Useful nonstationary-to-stationary transformations.\n", "\n", "---" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Exercises" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Exercise 1\n", "\n", "- Load the two time series `stationarity_ts1` and `stationarity_ts2` by running the code below." ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "100\n", "100\n" ] } ], "source": [ "# Load the first time series\n", "response = requests.get(\"https://zenodo.org/records/10897398/files/stationarity_ts1.npy?download=1\")\n", "response.raise_for_status()\n", "stationarity_ts1 = np.load(BytesIO(response.content))\n", "print(len(stationarity_ts1))\n", "\n", "# Load the second time series\n", "response = requests.get(\"https://zenodo.org/records/10897398/files/stationarity_ts2.npy?download=1\")\n", "response.raise_for_status()\n", "stationarity_ts2 = np.load(BytesIO(response.content))\n", "print(len(stationarity_ts2))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "1. Plot the two time series with a run sequence plot.\n", "4. Based on the plot, discuss if each time series seems to be stationary or not." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "### Exercise 2\n", "\n", "Use the following tools to determine if the time series `stationarity_ts1` and `stationarity_ts2` are stationary or not.\n", "\n", "1. Summary statistics on the chunks.\n", "2. Histogram plots.\n", "3. Augmented Dickey-Fuller test.\n", "\n", "Discuss the result obtained with each method." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" }, "tags": [] }, "source": [ "### Exercise 3\n", "If either or both datasets from exercises one and two are nonstationary, apply the transformations you learned in this section to make them so. Then apply the methods you learned to ensure stationarity." ] } ], "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": { "height": "calc(100% - 180px)", "left": "10px", "top": "150px", "width": "403px" }, "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": 4 }