{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": "# Stock market fluctuations\n\nThe fluctuations of stock prices represent an intriguing example of a complex random walk. Stock prices are influenced by transactions that are carried out over a broad range of time scales, from micro- to milliseconds for high-frequency hedge funds over several hours or days for day-traders to months or years for long-term investors. We therefore expect that the statistical properties of stock price fluctuations, like volatility and autocorrelation of returns, are not constant over time, but show significant fluctuations of their own. Time-varying parameter models can account for such changes in volatility and autocorrelation and update their parameter estimates in real-time.\n\nThere are, however, certain events that render previously gathered information about volatility or autocorrelation of returns completely useless. News announcements that are unexpected at least to some extent, for example, can induce increased trading activity, as market participants update their orders according to their interpretation of novel information. The resulting *unexpected* price corrections can often not be adequately described by the current estimates of volatility. Even a model that accounts for gradual variations in volatility cannot reproduce these large price corrections. Instead, when such an event happens, it becomes favorable to forget about previously gathered parameter estimates and completely start over. In this example, we use the *bayesloop* framework to specifically evaluate the probability of previously acquired information becoming useless. We interpret this probability value as a risk metric and evaluate it for each minute of an individual trading day (Nov 28, 2016) for the exchange-traded fund [SPY](https://en.wikipedia.org/wiki/SPDR_S%26P_500_ETF_Trust). The announcement of macroeconomic indicators on this day results in a significant increase of our risk metric in intra-day trading.\n\n
\n**DISCLAIMER:** This website does not provide tax, legal or accounting advice. This material has been prepared for informational purposes only, and is not intended to provide, and should not be relied on for, tax, legal or accounting advice. You should consult your own tax, legal and accounting advisors before engaging in any transaction.\n
\n\n
\n**Note:** The minute-scale pricing data used in this example was originally obtained from the Google Finance API, which has since been discontinued. The price values are therefore included directly in the first code cell below, so that this example remains fully reproducible offline.\n
" }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-04-27T19:23:00.026984Z", "iopub.status.busy": "2026-04-27T19:23:00.026851Z", "iopub.status.idle": "2026-04-27T19:23:01.076722Z", "shell.execute_reply": "2026-04-27T19:23:01.076246Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import bayesloop as bl\n", "import sympy.stats as stats\n", "import matplotlib.pyplot as plt\n", "plt.style.use('seaborn-v0_8-whitegrid') # plot styling\n", "\n", "# minute-scale pricing data\n", "prices = np.array(\n", " [ 221.14 , 221.09 , 221.17 , 221.3 , 221.3 , 221.26 ,\n", " 221.32 , 221.17 , 221.2 , 221.27 , 221.19 , 221.12 ,\n", " 221.08 , 221.1 , 221.075, 221.03 , 221.04 , 221.03 ,\n", " 221.11 , 221.14 , 221.135, 221.13 , 221.04 , 221.15 ,\n", " 221.21 , 221.25 , 221.21 , 221.17 , 221.21 , 221.2 ,\n", " 221.21 , 221.17 , 221.1 , 221.13 , 221.18 , 221.15 ,\n", " 221.2 , 221.2 , 221.23 , 221.25 , 221.25 , 221.25 ,\n", " 221.25 , 221.22 , 221.2 , 221.15 , 221.18 , 221.13 ,\n", " 221.1 , 221.08 , 221.13 , 221.09 , 221.08 , 221.07 ,\n", " 221.09 , 221.1 , 221.06 , 221.1 , 221.11 , 221.18 ,\n", " 221.26 , 221.46 , 221.38 , 221.35 , 221.3 , 221.18 ,\n", " 221.18 , 221.18 , 221.17 , 221.175, 221.13 , 221.03 ,\n", " 220.99 , 220.97 , 220.9 , 220.885, 220.9 , 220.91 ,\n", " 220.94 , 220.935, 220.84 , 220.86 , 220.89 , 220.91 ,\n", " 220.89 , 220.84 , 220.83 , 220.74 , 220.755, 220.72 ,\n", " 220.69 , 220.72 , 220.79 , 220.79 , 220.81 , 220.82 ,\n", " 220.8 , 220.74 , 220.75 , 220.73 , 220.69 , 220.72 ,\n", " 220.73 , 220.69 , 220.71 , 220.72 , 220.8 , 220.81 ,\n", " 220.79 , 220.8 , 220.79 , 220.74 , 220.77 , 220.79 ,\n", " 220.87 , 220.86 , 220.92 , 220.92 , 220.88 , 220.87 ,\n", " 220.88 , 220.87 , 220.94 , 220.93 , 220.92 , 220.94 ,\n", " 220.94 , 220.9 , 220.94 , 220.9 , 220.91 , 220.85 ,\n", " 220.85 , 220.83 , 220.85 , 220.84 , 220.87 , 220.91 ,\n", " 220.85 , 220.77 , 220.83 , 220.79 , 220.78 , 220.78 ,\n", " 220.79 , 220.83 , 220.87 , 220.88 , 220.9 , 220.97 ,\n", " 221.05 , 221.02 , 221.01 , 220.99 , 221.04 , 221.05 ,\n", " 221.06 , 221.07 , 221.12 , 221.06 , 221.07 , 221.03 ,\n", " 221.01 , 221.03 , 221.03 , 221.01 , 221.02 , 221.04 ,\n", " 221.04 , 221.07 , 221.105, 221.1 , 221.09 , 221.08 ,\n", " 221.07 , 221.08 , 221.03 , 221.06 , 221.1 , 221.11 ,\n", " 221.11 , 221.18 , 221.2 , 221.34 , 221.29 , 221.235,\n", " 221.22 , 221.2 , 221.21 , 221.22 , 221.19 , 221.17 ,\n", " 221.19 , 221.13 , 221.13 , 221.12 , 221.14 , 221.11 ,\n", " 221.165, 221.19 , 221.18 , 221.19 , 221.18 , 221.15 ,\n", " 221.16 , 221.155, 221.185, 221.19 , 221.2 , 221.2 ,\n", " 221.16 , 221.18 , 221.16 , 221.11 , 221.07 , 221.095,\n", " 221.08 , 221.08 , 221.09 , 221.11 , 221.08 , 221.08 ,\n", " 221.1 , 221.08 , 221.11 , 221.07 , 221.11 , 221.1 ,\n", " 221.09 , 221.07 , 221.14 , 221.12 , 221.08 , 221.09 ,\n", " 221.05 , 221.08 , 221.065, 221.05 , 221.06 , 221.085,\n", " 221.095, 221.07 , 221.05 , 221.09 , 221.1 , 221.145,\n", " 221.12 , 221.14 , 221.12 , 221.12 , 221.12 , 221.11 ,\n", " 221.14 , 221.15 , 221.13 , 221.12 , 221.11 , 221.105,\n", " 221.105, 221.13 , 221.14 , 221.1 , 221.105, 221.105,\n", " 221.11 , 221.13 , 221.15 , 221.11 , 221.13 , 221.08 ,\n", " 221.11 , 221.12 , 221.12 , 221.12 , 221.13 , 221.15 ,\n", " 221.18 , 221.21 , 221.18 , 221.15 , 221.15 , 221.15 ,\n", " 221.15 , 221.15 , 221.13 , 221.13 , 221.16 , 221.13 ,\n", " 221.11 , 221.12 , 221.09 , 221.07 , 221.06 , 221.04 ,\n", " 221.06 , 221.09 , 221.07 , 221.045, 221. , 220.99 ,\n", " 220.985, 220.95 , 221. , 221.01 , 221.005, 220.99 ,\n", " 221.03 , 221.055, 221.06 , 221.03 , 221.03 , 221.03 ,\n", " 221. , 220.95 , 220.96 , 220.97 , 220.965, 220.97 ,\n", " 220.94 , 220.93 , 220.9 , 220.9 , 220.9 , 220.91 ,\n", " 220.94 , 220.92 , 220.94 , 220.91 , 220.92 , 220.935,\n", " 220.875, 220.89 , 220.91 , 220.92 , 220.93 , 220.93 ,\n", " 220.91 , 220.9 , 220.89 , 220.9 , 220.9 , 220.93 ,\n", " 220.94 , 220.92 , 220.93 , 220.88 , 220.88 , 220.86 ,\n", " 220.9 , 220.92 , 220.85 , 220.83 , 220.83 , 220.795,\n", " 220.81 , 220.78 , 220.7 , 220.69 , 220.6 , 220.58 ,\n", " 220.61 , 220.63 , 220.68 , 220.63 , 220.63 , 220.595,\n", " 220.66 , 220.645, 220.64 , 220.6 , 220.579, 220.53 ,\n", " 220.53 , 220.5 , 220.42 , 220.49 , 220.49 , 220.5 ,\n", " 220.475, 220.405, 220.4 , 220.425, 220.385, 220.37 ,\n", " 220.49 , 220.46 , 220.45 , 220.48 , 220.51 , 220.48 ]\n", ")\n", "\n", "plt.figure(figsize=(8,2))\n", "plt.plot(prices)\n", "plt.ylabel('price [USD]')\n", "plt.xlabel('Nov 28, 2016')\n", "plt.xticks([30, 90, 150, 210, 270, 330, 390], \n", " ['10am', '11am', '12pm', '1pm', '2pm', '3pm', '4pm'])\n", "plt.xlim([0, 390]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Persistent random walk model\n", "\n", "In this example, we choose to model the price evolution of SPY as a simple, well-known random walk model: the auto-regressive process of first order. We assume that subsequent log-return values $r_t$ of SPY obey the following recursive instruction:\n", "\n", "$$\n", "r_t = \\rho_t \\cdot r_{t-1} + \\sqrt{1-\\rho_t^2} \\cdot \\sigma_t \\cdot \\epsilon_t\n", "$$\n", "\n", "with the time-varying correlation coefficient $\\rho_t$ and the time-varying volatility parameter $\\sigma_t$. Here, $\\epsilon_t$ is drawn from a standard normal distribution and represents the driving noise of the process and the scaling factor $\\sqrt{1-\\rho_t^2}$ makes sure that $\\sigma_t$ is the standard deviation of the process. In *bayesloop*, we define this observation model as follows:\n", "```\n", "bl.om.ScaledAR1('rho', bl.oint(-1, 1, 100), 'sigma', bl.oint(0, 0.006, 400))\n", "```\n", "This implementation of the correlated random walk model will be discussed in detail in the next section.\n", "\n", "Looking at the log-returns of our example, we find that the magnitude of the fluctuations (i.e. the volatility) is higher after market open and before market close. While these variations happen quite gradually, a large peak around 10:30am (and possibly another one around 12:30pm) represents an abrupt price correction." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-04-27T19:23:01.093647Z", "iopub.status.busy": "2026-04-27T19:23:01.093510Z", "iopub.status.idle": "2026-04-27T19:23:01.122866Z", "shell.execute_reply": "2026-04-27T19:23:01.122540Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "log_prices = np.log(prices)\n", "log_returns = np.diff(log_prices)\n", "\n", "plt.figure(figsize=(8,2))\n", "plt.plot(np.arange(1, 390), log_returns, c='r')\n", "plt.ylabel('log-returns')\n", "plt.xlabel('Nov 28, 2016')\n", "plt.xticks([30, 90, 150, 210, 270, 330, 390], \n", " ['10am', '11am', '12pm', '1pm', '2pm', '3pm', '4pm'])\n", "plt.yticks([-0.001, -0.0005, 0, 0.0005, 0.001])\n", "plt.xlim([0, 390]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Online study\n", "\n", "*bayesloop* provides the class `OnlineStudy` to analyze ongoing data streams and perform model selection for each new data point. In contrast to other Study types, more than just one transition model can be assigned to an `OnlineStudy` instance, using the method `add_transition_model`. Here, we choose to add two distinct scenarios:\n", "\n", "- **normal:** Both volatility and correlation of subsequent returns are allowed to vary gradually over time, to account for periods with above average trading activity after market open and before market close. This scenario therefore represents a smoothly running market.\n", "\n", "- **chaotic:** This scenario assumes that we know nothing about the value of volatility or correlation. The probability that this scenario gets assigned in each minute therefore represents the probability that previously gathered knowledge about market dynamics cannot explain the last price movement.\n", "\n", "By evaluating how likely the *chaotic* scenario explains each new minute close price of SPY compared to the *normal* scenario, we can identify specific events that lead to extreme fluctuations in intra-day trading.\n", "\n", "First, we create a new instance of the `OnlineStudy` class and set the observation model introduced above. The keyword argument `store_history` is set to `True`, because we want to access the parameter estimates of all time steps afterwards, not only the estimates of the last time step." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-04-27T19:23:01.124125Z", "iopub.status.busy": "2026-04-27T19:23:01.124042Z", "iopub.status.idle": "2026-04-27T19:23:01.126932Z", "shell.execute_reply": "2026-04-27T19:23:01.126539Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "+ Created new study.\n", " --> Hyper-study\n", " --> Online study\n", "+ Observation model: Scaled autoregressive process of first order (AR1). Parameter(s): ['rho', 'sigma']\n" ] } ], "source": [ "S = bl.OnlineStudy(store_history=True)\n", "\n", "L = bl.om.ScaledAR1('rho', bl.oint(-1, 1, 100), \n", " 'sigma', bl.oint(0, 0.006, 400))\n", "\n", "S.set(L)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "**Note:** While the parameter `rho` is naturally constrained to the interval ]-1, 1[, the parameter boundaries of `sigma` have to be specified by the user. Typically, one can review past log-return data and estimate the upper boundary as a multiple of the standard deviation of past data points.\n", "
\n", "\n", "Both scenarios for the dynamic market behavior are implemented via the method `add`. The *normal* case consists of a combined transition model that allows both volatility and correlation to perform a Gaussian random walk. As the standard deviation (magnitude) of the parameter fluctuations is a priori unknown, we supply a wide range of possible values (`bl.cint(0, 1.5e-01, 15)` for `rho`, which corresponds to 15 equally spaced values within the closed interval [0, 0.15], and 50 equally spaced values within the interval [0, 1.5$\\cdot$10$^{-4}$] for `sigma`). \n", "\n", "
\n", "Since we have no prior assumptions about the standard deviations of the Gaussian random walks, we let *bayesloop* assign equal probability to all values. If one wants to analyze more than just one trading day, the (hyper-)parameter distributions from the end of one day can be used as the prior distribution for the next day! One might also want to suppress large variations of `rho` or `sigma` with an exponential prior, e.g.:\n", "
\n", "```\n", "bl.tm.GaussianRandomWalk('s1', bl.cint(0, 1.5e-01, 15), target='rho', \n", " prior=stats.Exponential('expon', 1./3.0e-02))\n", "```\n", "\n", "The *chaotic* case is implemented by the transition model `Independent`. This model sets a flat prior distribution for the parameters volatility and correlation in each time step. This way, previous knowledge about the parameters is not used when analyzing a new data point." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-04-27T19:23:01.128074Z", "iopub.status.busy": "2026-04-27T19:23:01.127978Z", "iopub.status.idle": "2026-04-27T19:23:01.130204Z", "shell.execute_reply": "2026-04-27T19:23:01.129739Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "+ Added transition model: normal (750 combination(s) of the following hyper-parameters: ['s1', 's2'])\n", "+ Added transition model: chaotic (no hyper-parameters)\n" ] } ], "source": [ "T1 = bl.tm.CombinedTransitionModel(\n", " bl.tm.GaussianRandomWalk('s1', bl.cint(0, 1.5e-01, 15), target='rho'),\n", " bl.tm.GaussianRandomWalk('s2', bl.cint(0, 1.5e-04, 50), target='sigma')\n", " )\n", "\n", "T2 = bl.tm.Independent()\n", "\n", "S.add_transition_model('normal', T1)\n", "S.add_transition_model('chaotic', T2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before any data points are passed to the study instance, we further provide prior probabilities for the two scenarios. We expect about one news announcement containing unexpected information per day and set a prior probability of $1/390$ for the *chaotic* scenario (one normal trading day consists of 390 trading minutes)." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-04-27T19:23:01.131124Z", "iopub.status.busy": "2026-04-27T19:23:01.131047Z", "iopub.status.idle": "2026-04-27T19:23:01.132886Z", "shell.execute_reply": "2026-04-27T19:23:01.132453Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "+ Set custom transition model prior.\n" ] } ], "source": [ "S.set_transition_model_prior([389/390., 1/390.])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we can supply log-return values to the study instance, data point by data point. We use the `step` method to infer new parameter estimates and the updated probabilities of the two scenarios. Note that in this example, we use a `for` loop to feed all data points to the algorithm because all data points are already available. In a real application of the `OnlineStudy` class, one can supply each new data point as it becomes available and analyze it in real-time." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-04-27T19:23:01.133769Z", "iopub.status.busy": "2026-04-27T19:23:01.133700Z", "iopub.status.idle": "2026-04-27T19:26:15.419283Z", "shell.execute_reply": "2026-04-27T19:26:15.418681Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "+ Start model fit\n", "+ Not enough data points to start analysis. Will wait for more data.\n", " + Set uniform prior with parameter boundaries.\n" ] } ], "source": [ "for r in log_returns:\n", " S.step(r)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Volatility spikes\n", "\n", "Before we analyze how the probability values of our two market scenarios change over time, we check whether the inferred temporal evolution of the time-varying parameters is realistic. Below, the log-returns are displayed together with the inferred marginal distribution (shaded red) and mean value (black line) of the volatility parameter, using the method `plot_parameter_evolution`." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-04-27T19:26:15.420559Z", "iopub.status.busy": "2026-04-27T19:26:15.420471Z", "iopub.status.idle": "2026-04-27T19:26:15.501050Z", "shell.execute_reply": "2026-04-27T19:26:15.500574Z" } }, "outputs": [ { "data": { "image/png": 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1t6g22Io2C9VgKxSKtopNmxpMZJvx8KqiNNjwHYhNgTiEBSfhYNMgfA2efPLJ5ohxRQUR7LaowWY3jrrJUdFWoRpshULRVrFRcK1mNBMpimBfeeWV9Morr5ijwh9//HH617/+Rddee605Yhz3FA6hZT+M5ViugIb6/POJ/vlP//22RLCZVHTvnv2vBDsfK1YQnXIK0fPPp5frhAnZdz79lFotli6lqvPOoy5Tp1KrgGqwFQpFW8UmwbWa0UykKIINcg2vGjvssAM9++yzdMghhxivGj/84Q/pv//9b+lT2VKxfHn2/6BB5dNg/+c/RLfeCpcr/vttiWCzL3N7eFCOeYwiiyeeILr/fqIbbkgvkd/8JvvOQw+1XikefDBV3347bX/VVdQqoBpshULRVrGxBWuwcehK+/btjR/qN954gw466CBzHS7w2DWeQgxyffuWj2CvWpX9H9IuSpLZmr2IzJlD9Le/Zb+feWb2v2qww5M+aLLTgusN17XWBpzcajXXHefPp1YB1WArFIq2ik2VocEuyk3ffvvtRz/72c8Mmcapiocddpgh2vAtfeihh5Y+lS0VXLB8mmISwV6/nqhr18LiWLu2gfxAW92hQ9vUYN98c3Yzw+c/TzR+fMsn2DigCMSvf//ShrtyZe7/Qkj5unXp38HEDvWfzXUqGbffHn3dsMsu1KJVBOhj2rdXDXahQN2GcqjMRycrFIoCgDF94UKiIUNaJMEuqjeBvfWuu+5KHTp0oNtuu80c9AK/1NBkX3rppaVPZUsFE+pttsn9HRrku3UjeuSR4gh2SEMtCTaIUms0m8AS0F13Zb//6EdE7dq1fIINEw6YuvzjH6UNl7XQhWijmWDLupYETHS22w7LWlTxE5nf/S76Wd3Mbp0aBUzQd9iBCCuKqsFODwzg225L9PWvl7FwFApFwfj+94lw4vYbbxTWp1eIiUhRGuzu3bvTZZddlnONTz5UCHAhswY7bvD+7nez/08+meirX00vRqlVhIbanem5hBpaUbYJby2A5xqQv06diL7wBaIZM1o+wX711ez/iROJvvKV8hBsdERVVeUh2NiLgfo+axaOUqWKBeSwaFHrINiffJLtA/Dp06fhuh6VHo/Jk7OTE2zmVSgUpce77xLV1zesLqcFbzp/7z2iz3wm3Ttuf9fSTES2bt1Kf//73+mDDz6g2tpaY5MtgSPMFQVqsBn8bFpI0uMzAXErG55pbQSbCSBs3bHE2xo02PPmlcfumU1D0NlhcpZkwoE6y/U2rYkI6hx3apWuwXbaTHVzuNIsFaTZD7cJQAl2uj60kAmkQqFIh61bzSZyY+4BBV/nzuklx+NIIeOg24e3tE2OMAO55ppraOXKlXnkWpGCYGPA+/WviaZMyRdXv37lJditcaMjkwnW2rUGgs2b7QqxlU4D2VGlCVsSNdQ1/L7iiqxmOoQ1a/zfywnU81/8guittxpHsFuyBjs0CCnBjgdPHAvZY6BQKNJh7drsOIBVokI210tyXAjBdvvwlqbBfu6554zt9ec+97nSp6gtbHJ85pmsrfCLL2bdpkGbWCzBdk1EXLgmIrNnU6tDayPY8D7DeSq1BluGh++wky6EYN93HxzhZ73W3Hln5RBstKWf/zz7/6WX0r/HbQamVfPnU83GjdRiVQZKsIsDKynQV2JA55NgFQpF47FuXe54MHhw02qwW9omR9hgD2Bfw4rCNdhYJpGVhn/LZ0u9yXHYsOz/1mhn2NoItjwNtdwEOwmSYKOjZHvluENnmoNgsza+UA0JtxlsDkSHCIIlJ7wtCaEViXJosLFy+b3vEV19NbV4yD5UzUQUitJi/frixwPWYBeykusS6pZmIvLd737XmIh8/PHHxgZb4QHkwrJxNzlyheOBj+1tgUIH97QmItZXeUG7cV1Ic6BymQYVE26IYCOslkiWZH0otYmIDK8YExEm5fK6C2l33VQ22Ny2Cl3m5zZjCXZOWAzUo1C9rCQTuabUYKOO/v732VWDlmy3DijBbl2opDbZ1uAbb9evL348KEaDXUEmIkUR7Lvuusuc2PilL32JxowZQ7vsskvOR+HMmlwNNpMANt+Qh1sUWhmSCDbHceCB2f/TphWu5QN++EOi7bfPavz+9KesW6tC7V3T7OZHuDiZshQEG2iBE8CqcmmwURdkZ1eoBht1jUl5HMFuDg22O3ltDMGWYWDA2H9/Ivj3dwdu+F5Hff3gA2pzBJsHSsjk44+pRUNOytQOu2UD+0PQJnHwmKLpPYX06kV0443xJiKFoIVvcizKBhteQqrSuPdqy5CDGiqdLPg4DXahBDvJBpvjGDiQaKediGbOzJqJHHVU+jiw+/f//b/s98ceI/rXv7JEG//32YdKBtjOItzHHyc677zSEGyQSvfwnUqHrA+lJNiu9qAYE5FKJ9jFarAHDqRMp05UhXDkMeMw33r99ex31E1pGgef9bj22mtEY8ZQmzIRkeUKt5i77UYtFk2hwcamYOx3kH2TovTA2IE2+fLLRKedphJuSpxySrb9XHQR0YUXVo6JSEvTYF9//fXUs2dP2meffbwfhShUkDs+nREDHchqnAa70NlWWhMRpIP9SBZqJiK9neAwHG4kpT4ZkglfoSSplWmwc2ywIYtSHQ7kdlKFEmxoKzltCAt1udJMRECOCzEL4joM4oyT/ICQlt89Rp1/F6o1bw0abNnvTJ9OLRrlJtjPP080fHh2FVBRXnD5uW1VUX6EVg3WtV0NdlEEe8mSJVRTU1P61LQmcKHC56P0+4gKU0oNthwQli3LJz0cB45P9hFsENAHH8wldS7k80g7k6ZyEew0gxzIHjSI0J61MoJdJetDKUmq20kVaoMNcNog/1Cnl1aDjbr55z/H170Q/vOf7GE2brtxT/GS9eAPf8DyG9G99zaQcEmweSIsNdgyj+5eCR7E5fNNCRzC8NxzDb/d8uBjv5tCg90SANO4++/PnxCVw0QEZQGPO+jLuP+ECZyivOB66fahGBcxzhVjHtnagD7vnntKTzxDbWd9kTbYKDMev/lgtBamwS5qverYY4+ls846i4455hgaPHgwdXTcGuF+m4ck2Dhh0EewS2GDLSs1KiBItlzG5jigwd5vv+z3d95puP/UU9kjgnF65MMPJxNsdGDl0mAz4UtDsJGHE0/Mmqi4BFtO/logwc4jnOhccIhOY+ESsDRaAdSnUH2D3OWJgYUSbBwDf+qpRN/4Rpb4pAVO9eI9BeiEQSRlu0H7YrLMgGnTt7/d8Bt2mkcc0VCH+/dv0GBLwiwnIbKdwnSE21ZzEGzEiY3LKANokGH+5U6YYJoGQlFuDXZLIdjXX090ww1Zc7cf/KC8GmzYoV5zTbbO4ITNcngEUqTXYN99N9E552RXEj76qG1LDhuT4WIVffn555c/vnVFarDlBAB9LRQn3Ee3EDd9RRHsp556iqqrq+kJ+HB2ANtsJdiOBhsaVXxA9lD4XOF8GuxCZpUIjysPNNSohCAMkmBLExE+wREDMTRwICbcEcV1OmyD6hLsUh9aU4iJCMvs/fcbCDWTPewPYHm3RILtal9KNTA31kQk7b20BJvzWehyrtxEA6IJsyXZqfpMNkDK3d/w48/vpTERkeUiv5fCRAQTRmiVLrssS/6TAC08T36QFxBstzx79lSCLcFl5m7KLAfB5vMGUDbshrXUHoEUuUBfz5Ndtw99+umGsseYKZVebdWU45VXSkew5ViAfkdifZE22C4xRvtJQ7AryE1fUQT7RRzmoEhPsPk/Om8M6FKDDaIrNZaFzLbkYAAvCNAkuVplSbBlxce7+J1k7oFBHBsjGXi+3DbYaQY5ToOUl9SmtlCCjU12VbyMiU1Rc+eWbmAuhYlImntpbbC5DAvpdFEf5UoL2hIItqwHvgkaa1lxNDzql2wr6LQRBnfekqyHbLDlAN5YDTb2OOy1V/Y7DmG4+OL459Fn8KZjmTe3fHlzNZ6Hpr+UZn2yzFAmqLOF+vBvaoT6LVlfSkWwuW2gbLhcVINdXshydAk2K5cAbIA88khqs+C6iZVprHqXwmGF5AiuKcf6Igm2S4zRftIcUlNBJiJF2WDDRV/cRyEqB8+UmWhLDTYINrTAchNbIbMtDgfkeehQ/+DBYUPDDVMe9qjhkhtoWXybw958M5+UcYPBd2ho9t23QUOQBtDUwR6cDy1h8AAEGSRt7HMbKrTxTCia8rCZa68l+tKX8hsxPEuMHZvd4FQAOnD5wcQBbhELHZjxPsgaXMi54HB4sIkL97e/zbqm45UNn+YgZM+YVoNdDMG+447cNsJtwDURccEkFGXFv6X9tchjVRobbEm2G6PBxrvSo0+aDYNoa3JAQ15AoHkyw7bXckJdajMRl4jK9MR50oBJ11/+Qk0G1Bf0NejfQgRb5sU3OUM/h9WOW24pnMSgPLneoHySNuDiGbiFdF2dlRP//CftAjMtuZndBeoP2g5OPN15Z6J//7uwODDuoT8p5mAirOp8+cuFjQlynHKVAfA00hTAJBhmmXFKilLhrruIDjkk36TPB04PDgtzJyKFAlrwPfbIjukMyF2S7HXrirPBdsfUtONgaJMj9mxh7IMiDvW9CfylF0WwTznlFO/nzDPPpJ/+9KelT2Vr0WADUoONTsttfMVosKGVY9Lk2u9KDTbQo4ef3ICI+jSa7nKqu5yPgQD+sOFWL+RVwgU2m4G4v/BC7nUZf5KZiEvKcJgPE4umItiQ7S9+QfTkk1lCLQE3RTBf+d//Laght+f6gPLkA4oKIdiQLcwNvv/9/HscDp/qGRcubFTlkeP8TilNRIoh2O7Azm0pToMNUsMEMI5gs922HJhDNtil0mCj3siw5KmuIfCeCLbLR16kDNmnt5xwlppgu2WWxg4bNvdQwBTq5156YCoUOAwHfQ3qcmi1LslEBHUOZnK/+13+PV4dCLUN9Pd8H/1AkoYc2lXUiV/+Ml2/gWeKkYtAzfHHU5fp06n6uOPCD2GDIPo5jC8o60InSdiUjDK47bbCN/LClh3mqEnnLriydfdMMBBWuckVwofNP1zigoSWG7/+dbbuPPRQ8rOy327MwXPAj35ENGlS1qabgfoolSDrS2giEgLi4HYQ0mBj0/HChVnFEOpvE3i4KopgT5s2LeczZcoUevrpp2mvvfai8wrxX9yWCDZrsuUmR2lD3RiCjeVtJkC8oSaJYHPlkpXMZ/LBZIXz4c54mfBAO/XPf6ZLty9ul/AlDUTuu+4mwKYg2NDec3mxzSWAwZg1//AcID09JKAd5wuzbCZIhZiISNtC9zhzDofrSiHhwlylGIKN+hdalQnVgzi4EzwfwXY1ypADSDBMJLCxkes6k25LsDO+TY6uiQhrIGU6GkOwmZhyuaXRKLF8sXLEYXA6kQdoGZtKg83Ly2k079w34WCeQlwpQnO5665Ee+9dODHiPg3y8Wmw3T7Y1+9wO8Hg7AL1CW3DXc0JtY2kNsflj/eTVgXQN2My9fnPl4QwVqEP9wFhg8ABvKpWqFaW6zneKySt0hQqSTvrkrcQwYbZXbk9umA84HpWalNKF6jDrAhLIsxoS1JOjSXYIbMz2QevK8EmxziFEOoF+rwvfjFXg81p4/btjh1NsLJQFMF2AZd9O+ywg9Fe/xZLy4qGQvVpsGWF44oILTQ3FlcjgROS4sgv3mXSJIkeOjImmDARkYOuT3voi4PTxxpyt5Kis2JwJ5wEX9wYcCXRcgc6DM5yAHAbquvNoikItuyc5MSG5cBlnlYuaEuSYLMGG4MyJjJpJl8yv5w+dFTQIDEJYA0nZBySj+MZKEpLoTbY8jdImCT9XIZxJJzrJZueMQHh+pzGRIQH9x13zE7EWGMNmbAHESBpkyMGJx6o02xyxLvuygYDmi22BQdAktJu+GS5jR/fUA48wGJSJk1eWE6FEGxMGJBun2YU6UY94vY5cmT2f4icSXAbQZn5fOYiPsTrTligNUX+0A+6BBWydzWbTKDQp3B5SYKN7ywPd7XDt3LGdQD1WKYNZYdVONRpaXaANhWaNCKsUH/uln8S+Xn77awcoSGFpjcEjDlIH/Yu8EQIdQbvY5hIWumAZhRaStQnHCLC7xcCrudoQ2ldIcJ8Em48GUlE1R0zfCtDrIjhtl8uSMcASDfKAHEmjUcfflj4yaioA2w+I+P1wZ0INpZgh+DjOI3VYIcINsYG3OO88Htcr3lscZUXLYVgM5YvX05rmurktkoHd1RxJiIAf2fNMiDJBgYlDKTHHBNvIsKkSRI9abOWZCICxJF4nAQJhEgeNFmvvppOM+CLG99DdluQJbR148Y1pLFSCTYaOlzC8bIqzFaefTa1rVs77kSkBhu2n3DJBjdTSZAEhNOHZXK4tePlQ2nu4WuvqDcu4eUJYKEabP4N7R9s9aS2La0pyfHHZ213sSrAdX7UqPQmIjy4Mxnk/zzIsteOJDd9AJdjGhMRuAWEPa27ggEPILDNhBmPS7Bd21EfWFZok6ytZpKJiRC3VZQZt/tCCDZsXpFu120nBjKkGye2cRp2392/cuaDnPzDfMpB7+eeoxrUc8QfIgVuO4KLUfQNvPEepPqAA7J9Jtums1wl6WUPSC4pi9Ngu1psmEwwpEetOF/LINeh/tzNXxJZkjL0ePSK8LOfZeP72tey+zNQvyA3rAjA7lp6rQGRdnHTTdn/3/pW1ltNYwh2Ie8+8EBuP5REsEMabHZfC3zlK+UllgwZPtKNI9zRB8e5I8U4gfaEMirELFDKFhPdOO9eLHs2p0R9bMwYGSqTkAZ79erSa7A5/yh/ducH8PiJsQHXuA7wamylEuyLL74473PBBRfQ+eefT0e25d25aTY5orL5yIBczpX3sUyIDgLLqu7SmjQRYYKNQYyXX+WgmoZg+xqmq8H2AWFjg0UazQDywHHKxuY2HjnQYUYPDQSusR1kcxJsEOi//S23E2XygEYM+YPcYGPOiBHxbhCxYU3YM3pNRLgMMODIFQMfpBw5fa7dY79+DfbGvk5Lyv5738tuDpEEmzvnJILN5gP4jY4cndy0aQ2ySkOwUV+YSPz97/laWm4/cW76uAPG5ixJsFnWX/hC9n+SFxFpJiL3OoQIMadbEmy8C/ta4JlnGjSKIDss46TJGKcbbZnzwgQbsjn7bKL/+R+i008vjmAzyXLrLMcBbSnXESbYkjyHylGScA/B7sRabdelYsgOHn0iE0sOD2WNNoL8yr4IWmapkWdikIZgyzogCbYktSBHLOO4gRukmeu0z1SiEA12GoLNB3Ix0F6QB7RDHl9knt048RwmEmjLmBByP9sUBNu1609yCxvSYKO98DiAPrk5CDbXabnSgLoA5UcmQ51hA48JENKJ+oZNi2nhyikubyx7JpmuyYgExps45wWoW9yOsNfoyisbwvUpEbmM0pqHpbXBlvmH7HwabO6v0cfzmFypBNuHXr160U9+8hO6AjM1RdhEJHRwBwqeiYucufHzGPTdhiA12NBkweYInTx75/BpsJnIp7XBTkOwUWGxyz5Nx4X8+jSYcQRbNiAQbMjCnQmHCHapjhmXjRyH8uAjl7mZPLA2k8kae3fxLf1DDtAkffObkexzCLZrlgGCkOTJQMoRmx1RH0aPzn0GHY80P3HB5YI6C3J+wgnZSRwjTgOAusv1l0kw8iTLkOtIGnd+SAu3EdZSQqacnsZosAFoxj/72WQTEdbyYdBGWcmJm0+DjbLlMpdtAqSayQ2IDhNTpCmurvjKRxJsmG5w2cJe+a9/Jdpll+IINscf2siI/LsabPQ5vhM0ZT8m5eoh2NHqjZv/kAZbml5x3yVlLQ/Uciem/HwaExGfBhv1lfefoC6iv2JCH2crzAQL9dXXfmT+sBoYt7KDCYYka77wEAb6KSh62DwC6eM0Quay7bla89/8JvsfGnBoryXBTmtLjf5ATsDSEhuuB6jPxZiI8PtsHoJywgoJK21KfY4DA/VcThKRbk4L5wFmNxgzocCYOJEG/PnPVIX3ePUJXqDSjl3FEGz0Z2wG6KvzSCdWqkD6Q4RYKgvhHQYH2LDiJmQiksmk97qU1kRE5h9t1SXY+M3tCn1ssZPEpiLYxx9/PF111VV03XXXRR/8/spXvkL/LtR9Tww2b95Ml1xyidk8uf/++9Mf//jH4LNTp06lE088kcaOHUsnnHACTXZMFXAozmGHHWbun3vuubRCdNqZTIZuvPFG2m+//WifffahG264gepFpVq5cqXRzu+xxx506KGH0j+wGz458f5NjiGCjYFQboRkyErAnTsGC5Aenl2CYINQ8gDNZE8OqmzwH6fB/vRTqjrnHOrrajwAbvg+YJBnkpJEsENaS5foyQYqGxDkB7u85tJgQ+MoOxxeokfZoNxcgs33fVpJlA+bxtgO2KvBlsBubTmQwFuJdH0l5Yg6CM2xu2SNcDlsdFoYDNCRMgmRGlKG1GDjNDS3biIP8N981VX5skEeZRnyIC7LEGnEEjROXJOQcmPChHBdjx9pbLB9BPuHP2zQtPuOSmd5jhmT/Y+TAI8+Ojd8PA/SjDbJ2l+8x+HA1pXbos8eH5NerCrE1RVMLjCpgyaG5Yb3OC88qXYnZXEEG/UGgzxWnzDgczly/CGCDSLNfRHMjbhuoM+F1hyTCAZMEDCJdM9OgLnJaadlNXgWUd1H/JK8yTrNaUP80LClJdiuzXeSBht9KOQNsyQ5sPMeAmis0bfAVAltB2A7bG4XXJ4Aa82kBtMtZ7kygroIGfDEyQUm2zzGwf843vVpG1mzDRMkOYHj9rJ8OVXJvpZ9I3NfC3Mm9hYh+1nZ1yUBKyGyPFk+PI7BtNAHlg/7iE9rIsIKAH5f2l/zBNTngtYFXKyCkGNsgyeTtEB7l6slIPKSYIPcy9OuFy2i9txHo01CMYHnkW+0kdD+FOx3g7cnrlMwjZJtAGGxzTxDnnrM7da3asNtEHUjRES5POQZAq7iw0fg05oRu/lGPUF9gZ26hBxbIEefiQjLH22SJ5qVSrBPPfVUWusplJkzZ9IPMWCVCCC6IMr33nsvXX755XTrrbfSM7LzttiwYQOdffbZhog/+uijhgifc8455jrw/vvv06WXXmo8nDz44IPGThxmLYx77rnHEHCEf/PNN9Pjjz9urjHwLPKLd7/73e/SZZddZsIsygbbLVSufJhNMsGWFUs+z507bHsffbSh8+RK7dphSw8iTCLiCPZjj1H13XfTYDHoBTXYvHkKwCDPHg3Qmca5GgsR7DQabCYPWHJ3N3qxTa6bvlITbFdbcNJJDfLHIF6IBlsOULazqgkRbGihQWaQb944B1IF+0jYWLK8XDliEJZ1CGmFJwDuZEBU4GoR9rZsaykJnHwvjmCDpMP0AX7BmSDwwSMuwcYAAEIgyxiD2Z/+lF1mlJAkhCc2kKmrKQlpsDH4YBkc9Z8HVgxcaG+ot+iwGewHm+s8BhiW58EHN5Qjk2jW3uJ5EBG0SXZXJcsbaYN80PEz0WR3gQDSgfTF1RVMXGCWhDjkBIjTwHAnZSGCjTJBvcFkB+Sayx5lyrJ0VxVkGXLdRRrYph9phBzkoA5NHPoraOpk3UFbgdssmB3Yfi3SYENOklTLCSLLBitZ0PBxv8baSEmwZR/tklmXYLtkA+Qd8sYKjs9EhLXVMIlkzzQcN7cLTMowoKNecf8Y8qsOoN9EOSFPbLaECbIPsLVFGWDMgKYR8J1BwWME6huTY1mObhrwmyfAGAdQF9BeYJPP/QD3rcWaevB73GZYS+6Cy5r7+LQabOzVYWUI+gJWamESC8AvehplECbDUBjiOewL8HmR8eH//i833ZhISBeR2Asj2lbV6tVUw2nHhmuYW3D9RRuRE0kG8oVJD0g2T465HqDOcPtG3y7Pm5AEm/t0H8GWsna9UbnP8CZxIEmDXYgdtqvBRj1CfZEmj+gr5OqUT4MNPlXpGuy//OUvNGrUKNpll12Mxvdzn/uc+S4/X/3qV2lv2BKWACDHDz/8sCHGo0ePpsMPP5zOOussesBT2XB0e8eOHenHP/4xDR8+3LzTtWvXiIzff//9dNRRR5kj3JEHEPdXXnmF5lmh33fffcaGHAQdWuwLL7wwimfu3Ln00ksv0dVXX00jR440WvJjjjnGyKMoExGXfEoNNi/ZJGmw3Y6GBwfXk4jros81EUE8cuC1Fd9oknh5itOHysp5YI8MkiCA/GJJOkkzEDILSEOweXkP+ed3cZAEtDy8eaUYDTY6I2zegjYgCZwWbDhEPkEq5MSmEA227Hh8JiKSLEGLgk2CALvvksSDr7EcWWOGcLkOoT1gWRnh8mYlvMd2wDzgSBMEnwabw0bnxtoCd7DCu3IyJwdZkE23DnMaXG27j2xCpnEmIlKuPHhDY8QmK3gfcoBGhOuJT4ON/1x/4H4Ufnxhf48PVrF4MyvaCueHBzO3vCEfaK5A2iH/k09uuMda6FBdQRqYPMkDUyBfEH8uj0IItusCzndsvZwAu8v8DLnBmpUf0FpzPebBj8sV7YyJDsvODphR3Xdl4JqIoFxYCQANn+wT5GEpMs9uP+CaiLACgfsd7mtRnj4TESbve+7ZUH4sH25vmMSi3EF42L1dXN3mPGP5nldMQq76OP7ddmvo95EnKDigwYUCCe9yu4QLMx/BtuVT37491Z9xRgOxRHtif+VylQf/CyUoIYLN1319I8qYnytUg41+EuMTyh9eXnjMLZRgu2M1bNFBYvF+aLO/1Ppffnl+PUQe3PyCYMtxFquSUCKxy2OUh2uOg/7A9fKDlTWYmUpzJTcfPg12yESEEZpYuOcIJGmwq6uL02C7Hq3kXg53n0gaDXYlEuyTTz6Z/vznP9OfoGUyiombjWaZPyCpIMS/l9rPRgD+tWtra402mjF+/Hh67733csw3AFzDvSrbCeD/nnvuSZOspgn3QZ4ZAwcOpEGDBpnrixcvpoULF+ZMDBDWggULaMmSJeYZPD9ELPfh/rshzULSJkfXRIQrYiEmIm7D54biarDlKY4MSXriKjprhDh9aDiScMlBnTePcccFf9joAPCJWx4q1ESEl8CkDSgGI9jRykNmkgg2Om+kbeLErIxAlkDSY0yQ8tKCPEMrhTKTE5tCNNhJBFsu90O2PJD7jsZ2r/GzkmBDg8tp5fsgtvwub0RMItjIE8tXHrsbItiotzyoYIKHgcE1GeA0QCYoE+QDH9/gm6TBZrminUADBLgra5hgSKLn84PNdRJ5Rf5BZkHU8YFNqlzV4aV9HnTc8oZWUJqqcFvh35wvwM0zyBSniV1+sSxh+sUaL7fM4gg2p4UHIZ93FDZfggYLkwOfLaYk2NzW8A5viHTlgGexaoB08mFIGDPWr29YvXHT4W5yRJmi3iEsbOhkuaANp7ULdjXYbAIHOeEjfRi7JiJy4y1WEDj/6DNR9ySJwbiB8vWZeyGPCBt9EcYqNmNBPXDbesj+GkScNYhIKyY5CBerSew3HPUWYcqDiRg2zrquXSnD5YGJI7SfyA/SD1MZCZegoNzRl3Kfzx8e6zg+7jPc6742Lk1leHyBrOLceXJZom7xChHMdlyCzZplNq3gMnAdCXD++KRVyBReQKBYccd/vIfJHVbw0BchDqRBKrcApMXdDyAJNrfpww7LHmKGcRfh/utfue+4/S3GCvRH3L/LTa/IB+o06m6SiQjKBjIulmBL073Fi7P9FvfNvI8ljndI8zB+T4bvEmx3Apqkwa5Ugg2AhO677770wgsvGHtm2CvzB/d222036uBWqCKxdOlS6t27d054ffv2NXbZqxxtJ57tL5cpTP3pQ4usNglEOXQf7wLyPuIB+L7vXRDzOGRsIdd37Eh1dXXmv7nubKyot5U706EDZewzdRs2mHfwyQhCXj9/fvaaG0aXLtk4rJYkM2tW9n07ECNsDq/ezjAzq1dTXcyhB/ULF2bjsg2/rlMnyojBu14Q7Lodd8yGzcugOE0QpHeffSgzfjzV1dZG8deJssusWdOQLkdzWc/3kEZbjnXWzjuDQcHO3uu6dWsIW3wy1ua8bsuW/HuwO0X6xo+n+m99i+rZdnLtWqpbt84bXvSuHRTqhg9vSLvt1Oo//pjqLbnLdO6cvW8H7sy8efnhiY7GyLu2NiLYdb17U50gtXV77BHJPDN9evZ90UHUT5tm3s/YMq23A3QGHZAlPnW9ejXEzWHB3ISJDcrprbeo3oaR6d694XmxelHXowdlbCdVt3hxVi5Oh4+6EtU1awub2WYbylh3dPWwYZXPC9+vdUuWUGb33Smz665U79HgQaao8yYcW14ZscEug3JEuUADt3kzZfbai+r22y+2XHPa6Pr1OfLNoCzq6/PfadeOMnZSn7HLqBkrj3pLXDKWHEA+9dZ2sH6nnahuyBDK2AGnnuuSJewZ286jdAkbVbTtSA623ddhkyzXA9nWIBc7uUZfkBOm3WiZwfHVwIoVVLd2LdWLwd/0EZh8Dh5MGZhCOUB/VVdTE/U7EvWvvZaN3yFPeLbu1lupbtEiqrvhBsrAZGTlSso8+GCOBhvpiPIg6jnCy9iNvvUXXEB1fEjQ4sVUb00bWOZxyCB+yMHGWS9c1dWtXm3uc7jcpsxvtFOU7apVlGnXjupQlt27U8auDNahD7B9dj3qDctbmltxHmfNogw00OiL9tiDMvD8gjgGDzb9i/k+Y0Z+vVu/njKWQNXvthvV2fHKyECSIeRj2DCqu//+bBrshJ37MPPd1tP6rl2pbtQoysA0BQTHHtVef/75VFddnVunbNuvX7o0Gy7cUYJQ2j4/6vtHjqS6FSsow3XNmm5APqavsukwZbFpU24e7WpAZujQbH9jyXmdHZe8fTOXJfJiSXHmySep3pZl/TbbZJ/liSzSv2yZ6WdMmnffneqvuiqv3tWz6YXoo1B2Oe0JB+KgLO3BOPU/+IHpMzIuOUS+7eQo6htWrowIds541r17tKqQQZuRebVmgjwmZ0aMyMZnVya5fpgwly6lzIknUma77aJ+GnUhY8kw2oAJ94MPKDNkiClPlpm57/RHUZ5Zrv37N1zjfnnGjGx8vOqMNNn+DRzAGx4mL9ttR/XXX5/9bZUKrgwzs2dHnIL7sSitKE87FtSzbDZtMn2qiXvQIDMOmuvLl+cpa0sNsT6aHoMHD6Z//vOfRpsNE4rHHnvMaLD79etnbKFLgY0bN+aRdf69xdHGhJ7l5zZt2hS8j3sybDeepLBDWLdiBaH6zl26lJZPmkQDtmwh6MAzn3xCdrHNYNW8eQRL1RXr11Pn+npC9Zw1dSqtsR3yqPnzTTjm2Q8/pE8mTaJRc+dG14C5K1eaOLpu3UqwRK59/31acMUVtGXQIALNgh77A6vN77lsGYFabVi4kOb+978Eo47anj1zl2ehjJ0wgda0a0dj16wxlWTavHk0rF27KN55nTtT1y99yQzgc0EuFi6kmhEjaMTuu1N7O2npuHAhVc2YQZNfeolqrT1un8mTib0wZ1atilYZhn70EWEaA2JcVVdHK2bPpjmTJlGXqVNNGrf26UNTNm4kdNFVVosBcjOJ7WsdjNy8mUBPZ8+cSasc3657it33Vf/3f1QvynfqSy8ZuXlRX0/jpk8nUPcP6+posw23f/v2hC571Xvv0dp27Qh0Y9XmzTRr0iSqWbMmm+bly+m9N9+kjDhpsdt77xFTgZUzZtDcN9+kPezE4b358w2B2R6mL3V1NKe2lrpWVZny3TJ5Mk2eNIm2ee89srozWvnWWzRnwgTa065azOvSxaRjy3vvEWgjyOMkMbB2rKuj3ZAuR8O4EHanmOhjgo94bR67LFxoygGYsXQpbd+zJ3VZvJhmvfYabVi5ksY6S3WYNq7buJEgydoJEwg0b/3gwbSmTx9zbdMbb5i6HpWD0EzNfOYZGmWJWd2TT+ZpAT5ct456rFxJ2Mq0esECmvX22zReLJeuW7KEZk6YQGNuucW8+8lxx9FK1/WbB10XL87Kd9UqmoL2hLYGBUjnzua3D+M6d6YaTIjnzTPtBAQHdXr7Dz4g0J5Fn/0sbTtzJlXNnUtrnniC0KoXdu9Oi957j/qeeSb1euklmjV0KNVPmkSd1q0j+HsBuXhPxDfs6aeJt/BunjaNOnF5CnOI3ldfTf0efZRm7b031Yp3d966lTDNmT1jBq0aPLghzLfeMmEuGDSIBiIPGzfSh889R33eeYd4O/OWZcto429+QxiOqjx7Tmq7dKH3J02invX1pk+RWPvcczTr0ENpD6dfmVlXR+tE+obsuy8N+PhjWvHCC9RfTJIWv/02fWon7DvNm0c8ta9Cfz11KtW3a0fvgZQuXEh74vqWLbTmueeMfBfvsw9tGzhZkvu6TXPm0NRJk2jQRx+Z/C6rq6O+HTpQ9ZYtNHXCBBOnaalLl1KV0GqinD/5xz8INGbTdtvRVDtp2mXAAOqyejXNeukl6jtrFoHKztu4kZbZvPZauZKs9XmE+qefpnZr11Kmupqq6utNvwcs6dSJPt20ibB2W7VoEb3/6qvRZBV9wY6XXEK933nHaJ2n7rQTVa9cma03n35KqyZPNvWutnt32rDzzjT3pz+lzSBCixZRv02bTJtBX8Tg7yB2H37wAXU+5RTaYeZMqt64kTYPHkwf77uvqZsSO9bUmPzNf+89WjpyJI1+/nkjqy19+0YTuvbLlpl0fXLffbTjO++YMW/xrrvStm+/TWtnz6bZL79MY62yBfKd+vzztEVspN/m9ddN37a2Rw+a+f77NKZXL+qwbBnNePVV2sCmiBadPvqI2q1ZQ4MWLsz2+cuX06rdd6exXbpQzaJFtOnxxwnqgU+3bqXFNi9ju3c3sp/zhz/QjmJSsu7pp2kmNM+1tTTeKkDe79+fdu3XjzqIleOFr79Oi8S+nx2feMLIBPVr3bhx9DGILvqP7t1zxmqTXzuJRXvsPX06rZw+nfrafvv9uXNzlE2d99mHsHOk7uWX6T2sEmClNpOhsa+9ZvqbWZdcQv0eeYSWHXssrZw0iYb07k0DnH59/qRJNPDNN6kD6pfV2n+ydi1tU1eXLccPP6Sl4Ch/+hMN2byZtj77LK3bYw/DS4BlH3xA8zz939CpU82YvSiToYX2/pCNG038G196ibqCI/FhRlVVtKZjx2z7fO45Wrd8Oa3FpEZgyFNPmXfXPPkkfXz44bTt7NmEHmvZ4MFU3bcv1fbqRf3/+leq2riRJr/4ItX26UPbv/mmqe/MG5bOmEE9V6829XHO6tWmDmU2bKD6Tz4x8pq+fr0Za1CDtixcSB+F3Oc2J8GG/fHvfvc7+s53vkO/+tWvzDVor6+99lpDPEtxXDpsql0Sy787yeOgY57l50L3O3funEOm8ZyMB/eTwg6hm+1ottt5Zxo6bpwhmkC1s8TV28bfe8AAqrKakh0xENrZPjq66NlNm6jnuHFU7ezeHjp6tImDl2CwI3nY1VdHs8f23brRON74YQe8LnV1NNI+XwMNVV1dzm7yHbp2pSrEZScgo/bai6rxvB1QEGfGeq/ghmiATsACs+qq2bNpN+TRxl/FGzKQt61baRw6y44dqYqXD5H3uXNpm44dqTfkZuNrt+uuNOaAA0wHXsWmLz160DhhQiRRbScoOwwdGmlODLZujQYyaDar3n6baoR5wa7QzsjnJebPN89Cm7ILNCRsegNty69/Tb1Xr6ZediLRc9CgrMwzGWN6ULVhA41F2Gz7DAgtwTZbtlB3cWT3WF4NsITX6J4sQeqwaBGN23lnqhIutbZZupR62d3z6GyGoOyvvZY62MGjqm/fhjpgMrprNLBLDJ47N6vRQZjDhpkyMBAa7JF7703VyMeMGTQcKy+23kB7UmU1zt3XrKFuVove3tbrLuPGUReYat11F3WO8ec9Uhy/i0HQhD12LFVZkrzL4YebjUFAr3btaJyzwRVUZNyUKWaAhxZl+x/9iLaXttYBQPvLkw8jK0vyO/bvnys7gWoQnw0bogkqyPa4kSOp2q5kDMDyPDT4779PPazZxMADD6RtER4+V15J0TbF4cPNQNRu3Toah2XQ447LxiHIYke7clbVu3dumvD9pz81k6ac9Fmt5Q5o4+L5aksWBh5yCFVjg+m0abRL9+6GqDI6bNpE7VGGOCnQQra/dpwGYZ6V2XNPqpo4kXpMmUK7s8YUdWfLFtPuRvDR4hZVsGH+y1+or7ORasDWrdSf+0CPu7Kqgw6i3e3GO6y0VK1dSz2sV41+xx1HGQzEnvdqoDV86y3qtHatSXuV1eL1HTaMqqDxWraMdt1uO6q25SnJtcnzmjU03JLSjvvsE5VBNdoM2kNVFVXZejR07FgawjL3uO7juo0NjViVrLIrPf322IP67r+/0dxVLV5Mu0N+ti+p+t//peoXXsgS2cceo12xAmHLEnWwj6131b/+NXX91reiSbHJS8xpjyDrY8aMoRrEA68vlhw4W2iz4UC7/tJLNKRzZxq8665UbcuuBmYTTJLhTeb++2n4888bQoPTIlEuMO/psXVrdkwQ2BWyF/Wz6qmnzP9uu+5qZFyNpf1ly2gk+nVZ7//zH6r5+tezK5Z2pXn7MWNo+332oWpo4x97jDrbVZ9BY8fSQC4vrOC9+y4Nc0xwuqNvFQeaoT1i3KmCWZjwTT1w8+ZsG7aotqvKVX/5C3X/wheMUsVcx+pmQO49sZL64ou0DfefVVW0O1ZppbnjbrtR5pxzsn0C+Ak2u8+YYcypoIAZdsEFxmYbtRgKlSq8DxedAkM7d464BWMY2qkdW4f06kWDIWPbJ0NB1luYjfSrraU+nv6v2o6j244ZQwN4fLerWV3kxkqga1fqblcOBmGFG3UO9YX3Goi21nPx4mzbtP1HH6z28V4a2JbPn0+7od9FmjlfMNV6913q165dFM52Y8dGnIt5184wvbHtt8PatTRixIiykuyivIjAFhub/r75zW9Sta0McNGHzYOwwy4FBgwYYNzjwQ6bAXMNENsejp0hnl3mdGD4zaYdofvQuOMehy3jAfh+6N04sEauumtXc5R8tRhUcp7jDrFTJ6qypL1m61bzDj452gZoiXHNscGuqa/PPg8Chl3FlnRW2SWtqvbto/BqbKWtWrOGamzcGFiqnGUYDMA16NBtPmrwjFjmrO7VqyHMwKfKEqyajz+OrlU7NtlIg7nOA5q1da9eu5ZqrrqKqq13g6qdd6YaNB5hroP0BOO25LeaZcMfQSCqYGfooGbZsnCeWJ477kg1nTo1XLdLtJApT0i43E2abcdSg/Krrqaam26imn/8I4fYVy1ZQjXiFEdv/Jjg9OxpOpCa2bOpWpiYgNhCW26+o2ysFp47myo3THS6bDsKcAf55ptG9iYPUr6i7JHfKlufqxcsoBrrSqyKbeTxHQcnOHan1TvvHLUDSeRcVHtOBaxiU4bevU1drLZ9ACYuaC85z65bR9W2Q6664AKq6dgxsa6aOig2/dT88pdUYyc3VdtsE65nbLft1KEqa0OK/FZZe2uezFTvsos/vF69qMp626j55jep5pRTzP8qIQ8mjWizafJUZZUG1bW1DdcxsbLEombUqIb6+emnpjyjuFCfHdOtKrFXJUoDewbBNWz+xYQSdqXWzh7tBcSDbr+danbYIVfmXB8cDbmpV5wHToOYJFV9+csN923fhfSafOy6K1UJbX1O+u0Etwrt/IwzqNq6lUVdr7Ja4pqVK6MJXATcY1liQoL/Y8c2pMG2JZAUTm91v355fUT2Ru6wC1JUJfYIQJGR03++8grVfOc7VHPMMVRtNx5W3Xcf1Rx+eDZs9Il2UspyBCHNq98xYxYIdpr6ZMKxeQG5qZkzJ1uvu3Uz40/0jDXnq7KnXVbttx/VcDktXx71pQzUPfPulClU85OfULUlpdVDh+aUcU7/jHHFTkIxecP4aJ6xY1MV3H4KVA8Y0FBe1qyvmg+BOvzwbDhz55oxgvtikLwarGzAuxHIrD3no3rOHDOhqPnFL0z/U2VJWo3TtqvkKZkSXbtSta0zVWxGhfYkx2p8oHyybQ79bM0NN5i6YN7bay/Tj+eUjetNy/an7mQTdYb7OygDTJ9gnRNgzKgSGmvmHUYul11GNf/9bzZvdlJRPXBgQ/zcL7v9RrdukdIrSgPKWqadJymzZhlOwxPrapFHbmc1KCfBj6rsqkb1qlVGw22ecV33YkUD46DlEOBe6BfLiaII9qeffmq8dbgYOnRonn10sYBXknbt2kUmBMA777xjZtlM6hnwbY1Nh/BuAuD/xIkTzXW+j3cZ2NSID66DQGPDo7yP77gGgo6ZFDY8sj033w9ptIKbHNnuy0WcH2yQELkBAR2Ie9Q6IMsCncB3v5v9zuRcagt8mxxR8dkmF3ZkAGbwMh53k6O7mcoH30Yd3zHaANcblhM03fDQweXP8pYTgbg0hDY5svYfZiVYCmQ3ZxxWnG2960+ZITeLuJscZZ7QkUJr8JOfEKGTdDc5yg0oPiDNUqayrcnDXEBsnX0D3jBlPmBji3aFdLDGVMoXmnlo0pBXhM+bfrEUyW0HWner/aIzz8yv8yjDUDuQ8GkU+AQ2HkDkJkefOycM0EjvWWdRarCbPsgSbrn4WGPfBjUGp0NCegpAfuWGRneDsAtMDLCBEv0H3H2xNsolR2naX2iTI9KHuor6hL5Dei+RNtPQUMnfeF6e1Mv1HmmB1wa0OdjYMwlnZQtkAF/RIN8ubH3II7S+TY7Stlq6OZR9AogmBmFZz6TJF/KL/g5jBTZLcv+C/o3z45C/vCPoeb+B0L7lbDCXXkQYsg6hDkuzNtSPE09s+M2rctw+L7kku6+F/VxD6cDtDEC75frByhffuQWhfsWaiKSG3CQm+0Q3TxL47XuPgX4EZQJ7Z+SP6z2XI5ex7J9vv91/+Ai3DXhOkX2cbENcXmxKgQkByghpQPm7fTHkCeUVu+tEOWMyDOJ93XXZ9oq25irSZN2Um9bR5phwyg3gPvAZE/DBj7rAZ41wWiTcsQnwadDdTY7Ij9zbJVfJ2YQGqwrY6MmKqbhNji66ds3vs1yvRMyx0O8gPdyvSy8irqc0JvLMgfDb3eTIgHYddRRyZg5ZyNHtTUWwQUz/zscWW4DU4iCY3V2/rEUC5hlwq4eTIeFz+vnnnzfhwwc3a5nZfhrHs8O39TXXXGPU/fgP22m45gNOOukkczgMtOvwTgJ3fgcffLCZEPB9HDQzYcIE87npppuiePAMDrm56KKLzLsIAz6zv/GNbxR20AwaqOvpIkSw+V3XZRme5YoFDS2IEDboua4RueGweYnPTR/C4vBR8eG/95FHKMMbptDYOG0YtBCG7ABCnYEED4jSHtIl2FzBeRDlDoobCQg/fJKDsJWCYLNMUC4oD2hY4PWE/SHHne5VLMGWZFS68pLafGg9eXBk/9E+SILtblJlzw3oyNGByvqWRLAxGeVBmTtkWcaQFzR30PigLshJA8sFy+QgAtBWwrUUtEIgidj4g2toj/LwDcC3KdolOJAHDkOBdwMcMuS6gwq5zEJ60tRThkcbnUiwfe9g4w3XM2hSeYDk33FkBvUWfnKRT8gNHwzsdsm8UQQbGiFMVHiygsEKg5csS9frB2vP4UqPD97wpQHtCKYkGOiYXLG/drfMJZwJF2/8jAgX0szthMcWEFSpVJB9AoiTrJ9om5Jsoi4hH6ifsuzwHJeLb4KHOuCSVjnW+Qi2bHOyDmGg5zSjjcIWFf05TBngLYKVHNw+uQ+D9hSbg31nTbgT6qYm2O7GUuRBki1JsNFP8iE53Hei7sGlnmvrH0ewuZzctHOYkK30sCMnPHL1jtMv+1ZetXZlxu9hcyibQ1rPambiLMzbctINCE9mJl+2TkSreaG+itsT5xeTS7inhaLGBcJ13dolEWy0rziXhSDY8lh0lg2PlWkIdrdu+cord6VS3kcZcL8uzXFlO0OaeAyUBFt6WZJg+aNe8BhbZoJdlA02DlrBZsaXX37Z2CNfeeWVNHv2bEN47xJ2So0FDngBwT7ttNOoW7du5jTFI6xTf5BenCCJUyVx74477jCH0Tz00EO0884705133kldbAcKV384aRKuBVevXm18eP8CLnAszjzzTFq+fLmxHceyA/x5nw4bMguYvsC39te+9jVjGgJb88SJhOsHGx0oBg/Xabs8aMb1g80dNSoDGiGe5Q4InQU6BN+MVbpU47h993g5GAMliC0+trOA7V+Oiz7M/BqjwcYyIsJwK3RIg80AsRJlkdOY48hT6Kh0JsBcLhj88WF7Zp8GG2FAhuxGy+2cuYNH+bDMQhps7rAhD2l6hM7CTkSwSz9/2yblDmSQqTtZkcdlo6OHxobzk0Sw8R1yQJ2Q9UJCEkUmTbC5Zg0MwkAHKz1OSE0blxnqIK/MIBzhGcNLcFh+8vQz6Q4qRLB9bSMOocHBbU9J77BGH20UgwMGXnxHeadJE/oB4Rkkqi8oU97MmXbiIAk2XJFJ912u/23YRPLkHvUXbYUnfVidgKcIOVmWcpFL0672Mm7VAn2izBe0wtBk8VHico8ANvxiwsb+mn19gpsn3JPkFnUaAy0+qHfs6xl5SdJgQ7PMRARlKicOrFlD/8x5kW1OlhfIL+oC8gkiKt2syr5F1hVMbNivsg9SBuj7JJlMQ7BDdb8QDbYE0oCJA3zHo99H/UEc+I6+js9KOPDA7OQMfYjvlFNZjm7/zAQNqyry9GHZb0FRhrEecfrKi8FjKZQUyBPLz5UZJsjIm1Tc8H4SX9uW5YL2wyYpUoPNCLVp+I5ngBzi8CZ3DJL3YQaFCQy+o/244wTGPnzkQTM+gs1lhb4DxJXHaISH9snh+vxgu+jaNTsWYNUIbR51X2qwMcZKt3kYV3x+sLnc+MwJnpzIA6y4/aHNYtxmDiD7JZQr2iD4SFz/3hwEGweuPPvss+bEw48//ti4S/n85z9vDmDBAS+lArTY119/vfm4mO7sEgfhhTeTEEDE8fEBpBpkXp7u6Lrlux3LUYXAPcmRB5oQwfaZiEhNCCo7Gj57Q/B1oEm+cCWRR+VlbZV4PsOaEKnB5jItlmCDMGHDCRqNaxuJRooGwdp0V9vldlql0mC7mkdfBw5Ac47To9BhMdlwtUXcQNGZcZn5NNgYRGS5Of5Fq9jlUMxAmOO/musWJmCQnyTYnKc0BJuXNlE/5dHMcfJl0sSDCx/3nQaQBx936yPYrn9SH0GTkxouU6RXDiaFEmxX88OI89vq02DzoTCcbrRdDJIgt4WmicFaF66DxWiwXX/DXC85nZxu1BvIQm5E5foj219oYJKEQIbvA8g1TDhs2uDKy+yzQP+Da1zHUadhZoKNYW4fItuj61Mc9+TSvJQb/D4zwWZf53EabJgugLBBllgdkSYRPPDz4M4khsHhg8wgv9C8Qd7uZERC1pWkE5JluYDA+FZLkXeXHFrAtV1JCTaAvIFgY2Meyx1lgb6KlQswKQLBxmoHyhwyRV75ZFFZjgA85yD9qDdM0DC2SIIt6yXaJ2twfZpQhlRWoW/lsnX7TcSLvtLts0Iy4HQj3/JwNuQrLcHGmAHSjPETHCZErmU6MF5h8iZXBJhscp7kyivnB5MiXglFf476jHLGWCUJNo8r6Cdkm4ozETnyyCwBBjmGeQv+YxUASlmYtkokabBR9qy9Rr64nrACDYQbccYRbKDMBLsoExEQVWisoen9yU9+QpdccokxsygluW7xcE1EQgMNazylBpvflQSbl/y4wcSRGbfCuMvwcbZfkmhy2ool2LxchQEJy7JoXJLAcQWHuRFIEggEH2ddLoLtarDjCDbehS0gOha4G3IPLJCdOHfI/L4kXtwpoBOTJMd14M+kM85EhDtpyJI7GN5cyHljQiGJh49gQ6sEjTjMnTBwuJObOC2pbyLkcZfohWwHceYDOJkMsvZNjH0abDePhZJZN/3o+EHm+JjvtATbuqbKWTbHvgiEJU9wLBQyf40l2OhP2L+v2y+hXrjhc9yoExxmKA2od9KEI66M3fuo+7K9cB1HnUb54Fm3nHwabJgngcjCtllqsGWdhhYap+ZB+44Bn/15+1w68qoQvJ5gAuHm3dXcWX/veWGw7GGShnS7KxUSyAvCgS2xtDn3QcrAZx4CQG6BvqUkNtguUL8w8Tj33Px3AbQHPoKdzQ2wSgXvVOjT0O5ZzvgNooXxD/tXpImd3aCYdyKyLHO3L5O+2yEvjJlyxTVuP0yI4Pr8r2OlBOQYq3qyjDwabPal7gX6D6T55z+nRGAiijbIZpUMbAjlg54AaSLCBJvNxwCkl+uSJNgYs13lHyNUj7rZVXBMTngMwwQex71DeXnNNbnPowziNNgY/3iShr7Brde8P0LakrPpFafbt/ejEgg2Dm6B1lcRA9/syzfQ8OwqSYPNG3V4U04cwY7TYMv7YvdyBO4EUHlZc8eNhjsAkFNpdhIC6oi7oYs1PNwgEAcvDaITSSJJkjTGdUicvsZosN0T9EIEG9oiJnw+gi01+Wxm4tNg86pMnAab6xDe5Q6GTxpjSA02wxcmOliQej7B0iVacSQOdVVq41Mc7hFBxhOn3QSxgDwdbwAGLG+Urzx5UtbLYrXFXMbYIIlVnrgNzT6lAtdxqTHBZAFhYUm8WIRMDtISbF6x+vGPsytpbE/t9ks/+EFu2UOm3AdgkOR6Faf5kXlP2tgq7yOPkujwylbcpNNHsFEfYeqEvLgmIhJwM4s2gEGaNe9cfjLcODt810wGMuLjsiU4D+jLManFMjkTzJCSAIoJrHz4NNISMq0hP/5uHRLvFGUiAsLFfZh0PyrlAS2l9XqRV47nn59/hDy01+hbsJEPXnyYvIFYPfhgVg53392w8gACCNLG5ZpWG4n6zP0415liCLYc33z9DdKFfh17GGQZFaLBBmBLDq2t3FgbAg4sQt1yT+DESgLMn9jlHbdp5JUnsnL1CWMtE2z0F/wMOAtvSJSrQ0kabFk/0aeg7+YNm1jpAJhXhjTY6KvwDPozXplAnUJeJCd1TXghW+mqVWqwK41gY/PhWWedRb/+9a/pwQcfNBse5UchiF2SBpuRRLB59sX2sYVosF0yzJ2Rx0QE4cIfp3G9xEvErgY7rfYsjuTwoI5NPbB/Rv6h6ZAzYLkBq1gNNhohOhSeyPg2IYYItrRLw0DCg73PPIdlzpoY1wYbeUEaePkNcM2FGHEEG+lE3mT5YNlclnlagg1I7UMhBNt9vhAyKwldnHbT1Y6EOmyeaKD9SJtd36CfFtYDUdEbI4G45f/m1GC75exuZoU2V15zy4HrVVwaZN4L0WCXimBLhExE4tIMSDLjEgkfYMoI7SGIkC+98AAB8mP3EZUUUvEQ0mC7dUiYLBREsF1ZQP5pJ3zywBIcSodxjOsozBPQl4UA7zrsFQgb35l4S+9KhYxNTJT5Xe4v0J+wmZCv32QtKtLNHrtkOC647cgyQhvE+5IfFJL2JCBON+0oJ9mOecxgW3ZeoZHP82RNarABHnvciadbj9q1y7+OeHhixf01j4UcP7gJt31JsBEe12/eKMurW7LNuRMR97wMOUmsNIL91FNPGVd58KaBzYXYPMifW+wxtgqKJ9gu6U0yEXE7/1JosFlTI59v186cRpWz2YdJL+/wd49/jQNXdNckgwdVePAAsAECDQcy4EaZtCs7DcHGpk3M/uHFwvUi4gsXs3S2n5cEG1ouPnQipA0GeNlSEi/eeOIuWbEWwCmfyJOCDwjLtUFFeuSpWDwApiHYEi4RSurw5fOFEGzZDmRe3Dodl2a0H5YbtxN0xOJEx4I8iLgAUUoDOXDI9CMtaUl6UxFsnlD7CC/XFWwIczc0u+XAg6O7F0GCzZbwTJL5gagP5hhun6ecOILLnoeQZp//6zgNtgTkIuum1IKl0WCDAELLGjjzwNQpmJzFTcqKRaEabLQNoSgoyEREkhzWjKYFb1TGJI6JEfeN0F4nmZnxChATPJckF2JPy+9w+iEDrj+8H8HXB/FJkuhzcXAJt/2kPSjo19FvsR2320elqWOFAGOp7J/ccZtlxQo9tFWQVE5TyEQE4JVYN82yHvXu3ZBPt365m0ylbJkos4baNfnhNPFJtvy87CNcDbZ0gwlwOcvxolI2Ob5oDxBQpIAkcnJgQ2WQLuGSNNhwxce7goG4xowKKY37QzbYgd841rw9GhPbZXEjxewSS13YDZ0WvNyMgQvaG4arRcPgBKCDRcPHwJq0KzuNFxEGToA67bSwBhuNlL0ZwBQEDVASbDlb9pnHuB2IGz5vPPGtcoiNfmv33JO6SFdoPkB20tQEaYKHD7i5KlSD7Ybb1BpspB2yw8QEy/ryEKWkNOM9uWEq4XTVNPjwT3+inVesoOq0/rNlOcv0o736XBA2Bo01EQlpsAH4WIb3E7bbjCPY116bnfDbQz6CE2uYHoXIZpwGmwfMtBps5AcTaRBLnylFyAbbB+SL5VQowW5OpLHBlmWJ/4KQFKTBBh54IOsiFn0m+tW0uPHGrBnCt7/dcA3a6A8+SDepdRVNLsEuRAsMH9ZYGZYmaLCZxioxK2J8fRAmCVAkglzDDAbKG4wXSZMDcAF4wcEYw+lEfWRFS2MUAiEg/byXyiXY7pjF90F+sQ+BNzvzyq50C8vjT5yJyIABWblgbHPrV8iOnbXmaPc8Vrv9Ok8gmWBzGriPgJx5D8irr2Y30EozJQCeydavpwyIt3P4XbNrsCW+/OUvm0NbFIHBTXb4cmBzK6bPD7Yk2GgMssOP8yICuDaUoXue31u5oroabHQg2PDFx3inAfKJjQxJrrvkfY7PR9qkf+c0GmwGk+WQBlse1oDOBJMfuVOc7aNDExtXc+Ij2CFYeWYGDqSPsXs+yb5dEhJ0gKg3Un5MBpI2ObqQ3geQ/qTjxWU6CjHHkGWPMuSBxbXjTkozd9pSg52GZMRgA44mxo72tBs2ZTnHuaprbg02BhEeyH0abCyhYlLB+Y4j2KjLaNNJmlgQF99mvyQbbLZrxcSJ+6AkEw2QPLnZTYLbA+p2UppluRVqItLSCLaYNBSkwWb3qdg7Axt2uXksCah7ULpIwoXJKFwvpmlzIGayX2NNKJ8FkeRhQwImMvAlLeu62259fRDq0XnnNbR3bGBMu7cCGwzlRKLQsyUKRcDm3jtm8X02p4A2WZpOFqrBHjCgYf+Ka2svNdiSI2EMctMZ0mDz+Mx8hf9jRYJXvmFyhD0n7sQb7RmHicWt9lQCwZ4/f37OceYKAXfmhYrBBe922HF+sLmRyMaftBwlG0/IRCTwGxpsAx7cSuEdBjNZ6RNcdpJofLKic9p9G+fYv7MvHxIuOcRyEzqIkAYbkJ0JE3JumFzHQxObxhBsaPZffJHqp06lujRLnJKQcAfn+kqV+cHAlUYDB5lxOaT1EgPgnUIGaEnwEA/HVSjB5jhZgy0nTWXuOCPItoHBnetdpRFsDIgwccLvNO4UXRvscsLVYMulem6HcRrsJHBfC5klkTh3cya3m0rXYMsyjav70r+zyFNBbvqaEyg/WUZMqLHRG6f/NtZENQ3BLiVEGWRKaYPdGIKNPUvYdAjPNSGCHbLBBoeR488VV2T3WbHHIrfc8DwmazINbjp9PApgk01u3/w/zUbQJkKjCbYiBq6WFOQQGh3M0qS2K2QiwkuVXKEKIdiysboEGzvXeaDBQObYQ23hCu666WsMpB2y1Fr6OjXMOiGLkFYA9nvoHOI0Jz7tK1wEhjTYgOxMeJOL60EiJHeXYLrhxxFs5AWdTFr7QUlIuIND5wLTEsiVtTmIExMZkO+0Xn847DSdPcoNHWShm7YQNsyMUPcQH8xbUN4yHISbpG3keilNRKCtANjLQLkh0wgSiDqLOpJk5tPUJiI8WYa8kzxSJGmwS42BAykzejRtwkSbJ97cXjjdhXipCdl1xm2gY0B7Bw063IUi3+hr0MYKsTNuDkBpAbt3jBVxfQ3aLPpG1NPGmIg0J+R4wWMXxjPu/xoDmIj4vE2UC+W0wZbpR/m6ZYy+QeaVxz+kCfUe/QS3R2yElPbKvCnRTTPKgeMZMCA7LmJlyV2VBQfBczDRkGMs3nH3doRMRBg8+eZ9SPCL3loI9uDBg6ld0lJyW4WPxMHW0bfLXPrvhIkIiKB7QlSpNNjYUAhbUYQPIukQmc2u3WShy4chSDu5uGU5HAML7b30pSsBOzYsd8dtBvTVSWjD0mqwefXAHVjLYSJS6OAWMjWCDTYmZVy3UG5YRsMR1oWGnWagQvmA3LKbv0KAk9xwcAI6T/ibRn2ECRSTvzgPInEmIr/8Zdb1knvYSbkgyw6DDbQ1aFflMClojAab+5Ikjx6+8MtNMqqrqf6dd2gqNgDyRFC2F2i74OawWKBcsMGTN1QnyQurXTjVEnURruJAJpJM8ioB0Dr67F0lQMLRPnComiVHmY4dKVPq/QLlBI8XKJ8kF5CFAv02b052DwsqB5rKRMTnmID3OzF8z/A197Rc3gvm6+eYL/SP2QSNckO/Dft73jTK8aU1EWFwGmDah/FI7vVqZjSaGcOTiCIAX+NEp8CbECXYlpYrMzQ3WAKRJ+SB0OBgAmxYKoRg+2x60fACA+cml2CXSrshCbZMn0uw0fDjtJdJ90MEG+4AWRPmKxvuEED22LcyZC43jBZLsDFAY0DDMhsfFVusfH0abADkxE1HseQ9LYErdvKF8uEyQnlyOMgPNrikIXWuiQjaj+sBo9yQ5YyOHmVQrjMCGkOwGWkJSVOaiADt2lEm5MMcNruNlWkhREmmA/11uUlWqZC27nGdlaYzLQkYL+DjGTbU5ZgYIHxs+G2Ket9UBDtEdtmhQOgZvM+b/33wad2lBjsOTJwlwfbZYIdMRBhSWdkUZVZugn3KKadQlUe7hGvt27enfv360VFHHUUHNuZQhdaAuI7L7RhcExE+IQuEkGWN/3/+c+FxF9gJmaXacmiw2SwGjUASv1K7MwPcZT7MlnHCHhMMH0FnLRUINu8sxjV0POx/PKTJSjIRQdkh/9DcwrSlMQTbZ4NdKvDkqrk2dfFRymk0hnGbHJsKsh6V206XB0B5rHcS3LpViRpsH3jQBenwHTSkaDykPXZLAiZADz9cvvBhsgYTszgNbEsh2ExWQ3b57qZEF7z5X45XEr4+T55YmgZYJcZ4ib4KdTFJg+3mpYI3IBdFsPfee2+688476Qtf+AKNGzeOMpkMTZkyhZ588kk65phjqFOnTvTDH/6QLr74YjqBj+Vsa4CmOc7bhqtVdk1E4o6gTYM4E5EE1PbpQ5lu3aiKSWapNNioC/AvCrsrkGoc+4oJRDm0EJJgw64SJ6Jhpr52bfaaTyvF2mloRNn+nBt80gE/7oqBb9UAx8E+9FC2A0d6GIXKFx0/a9VL3bngKG+4zJJutJoS3DkXosHmDajNQbBdE5FyAuV+ww1Z8pvWLA+mFbAp5j0FaTXYzU2wYY8PMwYoaQrxbaxID5hRXXQR1aM/UjQAR7TDS0hjzJLSgs10oCUuhx08zCVwInHI7WiSiQhfDxFs3/hz+eXZ00cPD3j1cYGJBcw3eYNkkg02xmDpsrgxG6ArkWC/8cYbhjx/A8e9CowfP57+8Y9/0AMPPED77befOemxzRJsOM2PM2NIMhFpLMGOc9OXBD4Za+LE0mqwIY+bb871Q1ouSAICEs+EljsKX9kweYYGW/pBlR1PGoIdKvdDD81+JLmOez7psBnY8pea1CF/f/gDNRsKIdjugNTaNdjARRcV9jwGr2eeaXB9J5djK5lgg3DA37aivDLGhA3L//KExbYOjMVNdWCe1VrDTaLPKqAkqxTY0xRCGoIdp8n39XnwPoJPIZCr2EkabNRbPMPuoStYg13UJsepU6fS5zw7svfZZx/6ANovwir4buofOw5xJiLQYLPf5WbQYAMZ6de4Je0w900qQEY5D7z7OY5gQ4MtXSTKDiaNF5EkwuwuBRZzshsv9Ve6+7DWTrCbUoNdLLCPAJMxrJ5Il1iVZIOtULRFCILdLJBnXITM8uJsqcvR5/XvH0+wXTOR1kawR40aRffff78xDZH4y1/+QiOspgREe9s4Lw9tHXEmIqXWYBdjgtHSCbbrfog7AibYPhMRaYMtCbbsYNL4wU4izLJskI40btNc8GmaaTWSLQXstSXN4RXuZKc5CDb6OJQn2otvIKgUYF8FTLPSasl47wEmp0qwFYrywPbfGws5IKeU4HEL7T1kdibHP5fMlmODbMeODeM1Hy3vgu27MUGoYA84RZmI/OxnP6Nvf/vb9PLLL9Ou8BeKI4Y//JDWrVtHt99+O73zzjt00UUX0c9hY6vww60U0kRE2jsVckJeCTXYOX5nm2t2XUqCjY5BHoEbp8GWR6eW0kTE1ykVO3m5/vrssdaFnKLWEvCzn2VPOrP9SizY7ymjObw9oPyw2tQc5L6cwMCGo4gx+SuXVxSFoq1j5EiqmzaNPlm6lMQ5zU0HHrfitNTyHibq7HUE2vdy9Q39+2c9boWUFkywK1h7XTTBhvnHc889ZzY1zpgxg2pqauiAAw6gL37xi9SlSxdzuuNDDz1kNN2KIjTYjEJPyCuVDXZrMBEJabDjyBg6DOmSD2WCvHMHA+IcIs+FmIiUgmCjrlTQiVUlLbe0h3pAi4/nm3OTI9BaV+pagu9nhaKlY8QIqpdKnaZEGp/VkmDDyxTb65fTJG7AgOwqfqhPZxORCt7g2Cg/2N26daN9992X+vbtS/X19bTDDjsYcg0MSesKqi3Dp8FmYsco1jykFBpsSbBbih9YCTmzRufhdgY+Esx2aLx5gg87YQIV53u8EA027rNv0ZY4eakUoF7CQww80wCtTYusUCgU5QQre+KUBK4Gm1Fugg20RQ32mjVr6Kc//Sm99NJL1KNHD6qrq6P169cb93233XYbdVe3SsVpsF2CcNRRVDQaa4MNbS6W67FME/KhWclgd3xMsN2GGJo0gERLgg1gQ++xx8YfCV4IwebDULDUpgS78YdCKMFWKBSKwoEDe15+Od4tq9Ruy0PomoJgdwooTb74xWzf31zuZMtJsK+++mpavHixMRHZEacpEdysfmRI93XXXUfXqnulZLikF4Tbna01pvIkneSYBlddRS0WvEmRG2kaDba7LM4EG+8/9lh8fIWYiABKsEsDdLLs+lE12AqFQlHYXqvnnot/JqTBLqf2eEACwYaVBE5mrnAU5UXkxRdfpCuuuCIi1wC8h2BT4wsvvFDK9LVeSNILsg2tpiTYJ53UuArcWBORlg5JsIE0NtiuGUgh3hOKIdhpn1XEE2yG49VIoVAoFI2EHBNBbNkTUTk12P2t1rySPTOVi2B37NiRqj2uxeAoHeYiiiIItimN6oYlGJhnNAaNNRFp6TjmmNwZtztZCRHbYgk2bKo5zDQ26+xnWE1EGge5ZKl7PxQKhaL0XAXKVPATjKesvCsnwR4xItm7SWsl2IceeihdeeWVNHfu3Oja7Nmz6Re/+AUddNBBpUxf64UkvfL7v/8Nn4eN92/c1jXYOKb1rbfCO55LrcGWWuxCNNhKsBsHaFOw2/yll7IHqigUCoWitHjySZguZPdj8dhVToJ96KHZg7F+/3tqySjKBhs+rs8991w64ogjqKfVxK1evZoOPPBA4yNbUaAGWy6DSBunxgBhssu5Ym2wWzrx2nvvht+yM8BMPDTp8NlgFzKpWbJECXZTAx5vivUXr1AoFIp4wOUyu11mgl1OG+yqquzBWC0cqQn2p3wCnsX1119Pa9eupX//+9/UqVMn2n///Y3pyIYNG6hXpR4Z3BI02KUCe6qALXJb1GC7kJ0BtNehE+0ao8HmVQPVYCsUCoWiNaIpNNitBO0KMQuBjbULPi4d9/Ad/3Gqo6IIG+xSAyf9vfZaulPxWjtkZxBHgJvKRAQ24s8+2zhXjAqFQqFQNCVOOCF7KvIBB6jcS0Ww1TtIiSFJdbl2yuI4bUXTEWyOI40fePjxxEehUCgUipaCCy/MfhSl2+Q4ePDg1J9SANrwG2+8kfbbbz/aZ5996IYbbjAnRoYwb948Ov3002ncuHF09NFH06uvvppz//XXX6cvfelLNHbsWDr11FPN8xJ/+tOfzHHve+yxB11yySW0cePG6B6Ohd95551zPhdccEHla7AVYRORchBsdDqnnNLgwUShUCgUCkWbRFFeRJoC99xzDz3xxBN066230s0330yPP/64uRYi49h0iWPb//a3v9FXvvIVOu+88yK7cfzH/eOPP54eeeQR2mabbeh73/teZN7y7LPPmniuuuoquvfee+m9996jX/3qV1H4OETnkEMOMaSdPzhsp6JtsBW5gFaZTZziNNjbbJM19WjXruE41rSAB5377svdKKlQKBQKhaLNoWIJ9n333We0xHvttZfRYl944YX0wAMPeJ998803jUYaBHn48OF0zjnnGE02yDbw8MMP02677UZnnHEG7bTTTua0yQULFtBbcONm4zrttNMMid59992NC0K8y1rsjz/+mEaOHEn9+vWLPjgivixeRBTlATyHsO/pOA02iPUTTxD9858NzysUCoVCoVC0dIKNY9gXLlxIews3a+PHjzekeAncoDmAxnnXXXelLkIziecnWR/IuA+izujcuTONHj3a3MfBOB988EHOfZDzrVu30rRp0yKCPWzYsNJmUk1Ems9MJGkTIjTRuvlQoVAoFApFU/rBLjeWLl1q/vfn4zKNe+LssvuiRYtyrvPz7rU+ffqYZ5Pur1mzhjZv3pxzv127dsbVIO7DjOSTTz4xZiF33HGHIeRHHnmk0a53iDHtwHOxp1rW1FCN/Zrp0IHqK+QETE5zazyRs7pXL4KRSKZTp4qRd1uRfUuAyl9l3xah9V7l31ZRH7Ovr0UT7E2bNhlNtQ/wpQ1IAsvft2zZkvc8TDlcsovf/GzcfaTDjUveh/02v/+b3/yG5s+fb+yv8d5ll10WzN8MnC4Xg+qNG2kP+33Vhg00i08crBBAq9/asFNNDcGwZ+XmzfRJhcm7tcu+JUHlr7Jvi9B6r/JXtBKCDbMNePMInRQJgODi8Br+zuYdLvDMqlWrcq7heRyAw/ddYo7fsKN2w5f3ERe8okyYMMGcWAkf37vssouZ9SCNF198MdXUsB46F7DZliYrecAJixY9+/c3ZimVADaZGTNmTDBvLRXVQ4cSvf029Ro0qGLk3VZk3xKg8lfZt0VovVf5t1WsW7fOOLFodQR73333penTp3vvQbMNLx4w7RgyZEiO2Qg2GLoYMGBAnpCWLVsWmX3gPn6790GWYQoCko3f2CAJ1NbWGsLOcbknU+I5mJXgeHh4JPEBBCmWJGHTHX/FRKDCCFVi+luwDXZ1164VJ+9WL/sWBJW/yr4tQuu9yr+toVrwsLKETxUIEOJBgwbRO++8E13Dd1xzbakB+LaeMmVKZO7Bz+M635dhweRj6tSp5joEDI2hvI/Nj7DDHjVqFP3nP/8xkwHpFxsnVYJ0h8h1KsBlHG90VDd9TYNtt83+b0y5KRQKhUKhULTETY7ASSedZA6a2daSoptuusm42WOsWLHCaJ67du1qDqIZOHCgMdmAf+uXXnqJ3n//feOODzjhhBPo7rvvpjvvvNO44rvtttuMZhzEGTj55JPp5z//uTHrAIG/4oor6Gtf+5oxEcHBM4gH9tbwpQ13gDj05qyzzmp8JkGwYSqiBLtpcN55WZeI3/52E0WoUCgUCoWiLaJiCfaZZ55Jy5cvNwfGYOnqq1/9qjmpkYHfxx13HJ1//vnm/u9+9zu69NJLzWEy22+/vSHR0HgDINO33HILXXvtteY6SDP+w6Ya+OIXv2hcAIJkw/b6iCOOiOzAu3XrZsg53gVRB6H/+te/XhqCDWKNDZ3qB7tpgINjfv7zJopMoVAoFApFW0XFEmyQZmik8fHhxRdfzPkNUn3//fcHwzvooIPMJ4Szzz7bfHzA4TShUyQbBTURUSgUCoVCoWh1qEgb7DYDJdgKhUKhUCgUrQ5KsJsTbHutJiIKhUKhUCgUrQZKsJsTqsFWKBQKhUKhaHVQgl0JGmz1IqJQKBQKhULRaqAEuxI02GoiolAoFAqFQtFqoAS7OaEabIVCoVAoFIpWByXYzQnVYCsUCoVCoVC0OijBbk6MGJH9P3x4syZDoVAoFAqFQlE6KMFuTtxxB9H06UT2yHaFQqFQKBQKRcuHEuzmBDY3jhzZrElQKBQKhUKhUJQWSrAVCoVCoVAoFIoSQgm2QqFQKBQKhUJRQijBVigUCoVCoVAoSggl2AqFQqFQKBQKRQmhBFuhUCgUCoVCoSghlGArFAqFQqFQKBQlhBJshUKhUCgUCoWihFCCrVAoFAqFQqFQlBBKsBUKhUKhUCgUihJCCbZCoVAoFAqFQlFCKMFWKBQKhUKhUChKCCXYCoVCoVAoFApFCaEEW6FQKBQKhUKhKCGUYCsUCoVCoVAoFCWEEmyFQqFQKBQKhaKEUIKtUCgUCoVCoVCUEEqwFQqFQqFQKBSKtkCwM5kM3XjjjbTffvvRPvvsQzfccAPV19cHn583bx6dfvrpNG7cODr66KPp1Vdfzbn/+uuv05e+9CUaO3YsnXrqqeZ5Hy677DK65ZZbcq5t3ryZLrnkEtprr71o//33pz/+8Y8lyqVCoVAoFAqForWhYgn2PffcQ0888QTdeuutdPPNN9Pjjz9uroXI+Lnnnkt9+/alv/3tb/SVr3yFzjvvPPr000/NffzH/eOPP54eeeQR2mabbeh73/ueeU/irrvuoocffjgvfJD7yZMn07333kuXX365SdMzzzxTppwrFAqFQqFQKFoyKpZg33fffXTBBRcYrTG02BdeeCE98MAD3mfffPNNo5G+6qqraPjw4XTOOecYTTbINgDSvNtuu9EZZ5xBO+20E1133XW0YMECeuutt8z9devWmbhAsAcOHJgT9oYNG8z7l156KY0ePZoOP/xwOuuss4JpUSgUCoVCoVC0bVQkwV68eDEtXLiQ9t577+ja+PHjDSlesmRJ3vPvvfce7brrrtSlS5ec5ydNmhTdB1FndO7c2ZBlvj9//nxjBvLoo4/S0KFDc8KeNm0a1dbW0h577JETNsKMM1lRKBQKhUKhULRNVCTBXrp0qfnfv3//6BrMP4BFixZ5n5fPAn369ImeTbo/atQouuOOO2jIkCHesHv37k0dOnTISQsI+apVqxqZU4VCoVAoFApFa0O75op406ZNRlPtA8wyAElq+fuWLVvynt+4cWPOs/w8P5t0Pw6hd0NpYa32+vXrqa6ujloaOP0wm6mursj5V6uFyl7l31ahdV9l31ahdb/5wFyzXNYIzUawYWIBbx4+XHTRRRGB7dixY/SdzTtc4BlXm4znO3XqFN13yTB+9+jRIzGdoXcBDl8Cmm1g7ty51JLx0UcfNXcS2ixU9ir/tgqt+yr7tgqt+80H8LZu3bq1HoK977770vTp0733oNn+1a9+Zcwz2GyDzUb69euX9/yAAQPyKueyZcsisxDcx2/3/i677JKYTry7cuVKY4fdrl27KC0g1z6C3rNnTxo2bJgh5qoBVigUCoVCoag8QHMNcg3eVg40G8FOIrWDBg2id955JyLY+I5rri01AN/Wd955pzE7Ya0ynsdmRL6P39LsY+rUqcaVXxJAwkGssSGSN0oirDFjxngJNJ6FfbdCoVAoFAqFonJRDs01o2KNbE866SRz0MyECRPM56abbsoxKVmxYoWxcwZwEA3c61188cU0c+ZMQ7bff/99+upXv2run3DCCTRx4kRzHffxHIg7tOhJgEnKscceS1dccYUJ8/nnnzcHzYTMWxQKhUKhUCgUbRtVGfe0lQoBNgjigBe4zqupqTFk+Uc/+hFVVVWZ+4ceeigdd9xxdP7555vfc+bMMb6qYdu9/fbbm5MXP/vZz0bhvfLKK3TttdcazyFwufeLX/wizyUfcMoppxjCzuGyxhsE+1//+peZ7Zx55pnm1EiFQqFQKBQKhaLFEGxF44HNmDi98mc/+1mkrceBPPgNkxeY3GAiguPfFU0jf54MfvnLXzYrIoqmkz3q/C9/+Uuz9wOmZjgw6sQTT9QiaKZ2oCgfsI/pmmuuMYewYT/Q0UcfTT/84Q8jpwGK8gJ9PA6+w8o57Hu/+c1vmv5G0bQ4++yzzcnd6PebAxVrIqJoHGC4jw4VJjFpj5RXlFf+AA5Qwkmj7G1G0TSyx8bkb3/722Z16rHHHjMnt2IV6+WXX9YiaIZ2oCgf0M+jfmPlFScO/7//9//opZdeot/85jcq9ibaOAdih/Mz0NdceeWV9Pvf/54ef/xxlX8T4sknnzSWC80JJditEPCo8rWvfS3PVWDSkfKK8sof9vvQ5Ll+1RVNI3tMLEH24OXni1/8otlboYNe05eForyYNWuWWa257rrraKeddjKb80G4n3jiCRV9E4A9lMGsFH3NQQcdRJ/5zGdyHC0oygu4bYaJMZxRNCeUYLdCvPXWW2Yp9sEHHyzoSHks5aJTPuCAA8xR8rBzl2Hg9yOPPGI2je6+++50xhlnmOPrYa8OTy3QiKumKix/aEu///3vm70CLlT25a37qNOo2y5woBLw05/+lK6++mr6zne+Y+o2yDeWdxk777wzPf3003TUUUeZug6ijskqNjvj98knnxw8OKutIlQW2FfDm9ixH+bggw+mhx9+OGcfzN13303f+ta3TFlg/w2W3GFiguePOOIIE7bCD7iy/cMf/hCdfizrusq+/ID5GVYLsF8Lqwkg1v/973/N6pnKv2lw/fXXGz4yYsSI6Nott9xC//u//2ucXKDP/sIXvkAvvPBCWfmNEuxWCAz2sK12D+VJOjIeXlZAAlERn3nmGUMysIwufYij48Bm07/85S/G1SE2mmIzKSom4vv1r39NbR0h+YPAff3rX/e+o7Ivr+zhNQirNYzly5ebJURolhh//etfTYeMZd29997bLPPCWxHj5ptvNrZ8d9xxh9nwDJKID95D27rrrrtKlIvWXRbABx98QB9++KEh3zBTwzL6q6++Gt2/7bbbjPYbhGTt2rWGZIMwop+BVhZtSeEHzmfAhFKaLNx///203377qeybGCBtaAeYGILQAVr3y4s33niD3n77bfre976Xd++5554zkx70KyDSWNmRZ6iUmt8owW5DSDoyftSoUWZjDIgIPKxAm7d161aaPXt29DxMHFDhdtttN9NhY7ADycD/Y445xixPKgqHyr7pAH/50EqAsP3P//xPdB3k+sILLzTmU9ByYHPSU089Fd2H5yBoMlDvsQSMdgCNNr5Dq/rJJ580YS5aNuANCku4I0eONOQZJjsPPfRQdP+QQw4xskWZHHbYYUYbiMEQZQPirf1MeuDQNpAFaO9U9k0LTMpvv/12M5nkFTSt++Xd83H55ZfTz3/+c+9J2+jT2UQWChRMfKSJbKn5jRLsNoTQse9cETGQoYJCS4fKh9k3u0xkSNeGeG/w4ME5v0HIFYVDZd80gO987D3ApBGaaKld3XPPPaPvOEQK5lQff/xx6rrvti1FGHClKg/kwoAmZc0HjLFs4fGIXbRqP1MYub733nvNf0xmVPZNC9gAY7KICTtWujA+at0vH2699VbTl8gVHAnck0pGt98pNb9Rgt2GEDoyns1GsNv8oosuMqdRwjzEtZ0E4JNcQo+DLw1U9uUHbFDhwx52dCAd2IAkgXovgYmlrN9a90uHJFm797WfKRww77vnnnsMuWbzBJV9+YExFZuqJbASA3KGPkjrfvkAsz/IHpppfLCJHR98b44+viKPSleUB0lHymOGjZ3PWJoF2DZJXaWXHyr78gJ2qLD1nT9/Pv35z382S4QusIwrO95p06aZDXiK0gObFrGa0LVrV/N78uTJkYZVURpNHvoU2IweeeSRKvsmBPoY9DVwEQelFtdv+GOG6z6t++UD+vba2troNzZSAzD9++c//2nOQMBYwMQZ5YLNp+WCarDbEJKOlO/Vq5fxlwrvCNgk8OMf/9hc16Xv8kNlX15gk8qECRPM5jhsAsOmRHzgzokBzxR//OMfjZ0d9iJgz4JLThSlwYYNG4ytJJZnYXuNTdXYDKZoPCDT3/3ud8bvO5QnXNfxUdk3jVkIvHBhgy+UVCDaWEXAniaVf3kBkw6Y4PAHE3h88B0At0FZoI+Hb/IpU6ZE/KccUA12GwKWP9Dxwk0cjPlR6bBbH/aNAI6ShwYbG44w88Ypd3gHmr0DDzywuZPfqqGyLy+effZZo7mA/bU76YTWA8CeA/iKx05y2F9jeR1kXFF6YKIPd3IY3PAfgx6vpCkaB7gewwoMCAQ+Ethop7JvmnEWJjrYRI19HnA9CZee8FCk8m/eVXx4hoIJLEwEoWSUdtelhh6VrlAo2jzgBxtoriN12xLgIgsmDC+++GJzJ6XNQWWv8m+ruOWWW8wqJStUmgJqIqJQKBQKhUKhUJQQSrAVCoVCoVAoFIoSQk1EFAqFQqFQKBSKEkI12AqFQqFQKBQKRQmhBFuhUCgUCoVCoSghlGArFAqFQqFQKBQlhBJshUKhUCgUCoWihFCCrVAoFAqFQqFQlBBKsBUKhUKhUCgUihJCCbZCoVAoFAqFQlFCKMFWKBQKhUKhUChKCCXYCoVCoVAoFApFCaEEW6FQKBQKhUKhKCHalTIwBVFtbS2tXr2aOnbsSNXVOn9RKBQKhUKhqDTU19fT5s2bqWfPntSuXenpsBLsEgPkevbs2aUOVqFQKBQKhUJRYgwbNoz69OlT6mCVYJca0FxzgXXu3Dm6Xr9wIVFdHVTclMH/TCb7sfifH/2IZs2fT7+/7DLaa/Rooqqq7AeoqqKqmhoizLDwHx++364dVUFTjmv19dkPfuMeruE74uG4cZ/D5DDEpy6ToZnz59NO229PNTyjc9LK7+d8l7/lNd89Dkv+d8P3heWL2wWHhc+WLZRZvz4rE0DKbevWrGxqarKylR8On8spFCfL2U0byxv/RRl6ZQTU1majg+znzKGdhg2jGg6b8+TUB69MfWmMk1XovdA7oTLyPG/qlnkl471eDrhxhdIUQl1dHc2YMYN22mknqkG9KGNamxJxcqmUPLLsR44caWSvUNm3FWjdbz6sX7+e5s6dG/G2UkM12CUGm4WAXHfp0iW6Xg+yasmXGfAkqcxkaNmiRTR9+nRavWwZdfEQ3xwS2L59w7327bMEG9dA6vBhYo0P4kU8IJQ1NVlyLwm2JInV1VRnyWiXTp2oBmHa9BmSGiK5LvkrB8H2/fdByra6mjJbtuQSbGm2wxMU5JMnMFxOAMtT5kMSbiG3nLSxvF35hIgsnsXkRspeEn1JsH1hxU0CkmTle6YNE2wA7VYJdtPClb1CZd9WoHW/+WVfLnNeNRJuLjhkoJvVdq/fuLHhvoeIe6/5wvSRDR+hDX2PSWvwWrlQTFyurNJ80sYV90zoXiF5SHq2KWWvaNVImpQoFAqFojgowa4QdLPa7nUbNuQTZdZ6xyGJXKe553s2TbiNJY9pwy0V0S4mHT6te1ychaY7SYvfmLAbg7TpqhSkXRVpa0jbPygUCoWiJFCC3VTwDfiC9LEG2xDsuOfjfofidEm6/Z8pZtCN036nQchcJC6+ciGOhLmE3JemOPn53i+W5ITCKiVxD8Fn2hKXPlG3GqMd5fcLDiPOTr3INLQKpN3DoFAoFIqSQAl2hWmw12JTXlrzDvd3IZruJK1uscS3EKLemPtp40hhEhLZxJci3cWmryniS4tyaH+bKh+qqU2WT2uZNCgUCkUFQwl2haBf797m/8Jly5KJsLzv+52kefW93xgUqsUuRxpkmGm1ySEZh96P+502TWnKJm245YK7obMlkTLV1KaXj0KhUCjKBiXYzQ1LXkZut535OWPOnPSEtRBSlmTWUUhc5dA+l0uTGzcRiQs3zaTGveYj4aWQcVrZFEuEQ+/5zC2SJiMhCK8iZTW7iElXqzH3KDHJVrkoFApF6aEEu0IwYsgQ8/+juXPTmTe4Jg78jg+edxpuFbnxL+lesShGkxuaMPCH/YOn1VjHxZ0kr2KQlvTH3U+TllJNUporjJYQp0KhUCgUSrArB6zBnr9kCa3njY6AIIF5/rMlku7L8Jz/sZsdG2sqUE7ix4jzj+0zzwhpl0NEN+5eGqSRW4g0NyZe971CzANkPLIONEXcpUJj092aUKp6pFAoFIpUUA12c0IMctv07El9evY03z+aNy/vftGkLaTdDV0r5P1QWL5wku754oqZTAS11WnSnzZt7v1C8xhXRkla6EJl7Is3Th5p0iGfbwxBTvluyHNIkllJ8H6JSGSr8CbimvgoFAqFoqxQgt0cCGhVRwwdai7huOxYravvngxb/vfFG0fAfN9DeYi73tiBvLEkIEl+zifWzMYn87h0ps17mnIoJ0oVT7F1RdF00DJQKBSKJoUS7ApCtNERdtghDW2ICIp7edq2JC2x79mk90P3kxCXlrRhFBKHL/zQRCWUhjSkO+lZ33tJcRRyvzmRZIohtaeK5kHIfEqhUCgUZYES7OaEM8DtZDXYOSYicYNgIQNkEoEshkQ2x3JzGrLqez4NsU1aCSiUBBe6QlCq8iwWaepBUlpCv/ERJE+aXaQ1wSjoNNOYMNxP2vCLPvymEuArw0B5KBQKhaLxUILd3BDa1FgNtuf5nN+++6F7vvd88SSlu5QoR3hpPr5nfWlKq+32PZ+Uv0ImCWmeKyRshUKhUCgUJUe70gepiEUM4YlssKWrPrkE7yNtcdfj0uAs20N7VRVa6k9L8BqDcnmZCBHiEKn2PeNLn0crmzo98nvc0r3vWbdOJIXV3FCC3/zQMlAoFIomh2qwKwg7WV/Yy1evNp8gASxC45zjwi9Jey2vxZlKJN1vbFhptcUhxG1gTFoJCIWXEJf3+TQyamxe3XBC8g7FlTa+uHpUSDjRK5nyE8S09b2tQWWgUCgUZYMS7OZAgJh07dyZtt92W3Npyscfe9/L+N51w3a/xxH0QklmXDxxcRWKRhI3990MHzQjSXeIJLr/42SUdjKRZpIUl4e0zxaCxsi1KVEOzXwlavsVCoVC0WqgBLupkJJg7TZ8uPn/wcyZYW1kHCn0EUj3vQC5DB44k5aAl4KslUpbKTekhU51DJFsX1riNMPFyCoUTyiMcpHsQlBI3HEyLTSc5kJLmYCkQdxqhkKhUChKDiXYzQnPYDdmxAjz9QNosAvR4iYNlEmksBBNaxKJLHTQDpHctAQniSQH8hzrzjC6lNIMptCySdKEpy3PtIiTUTkADbHPbt13PSmcnCASvF2UIp8p3m9xHjfiTjttyflSKBSKCoUS7KZEHHm193Zngv3RR/HPxmm3fd9D/+NIXlKaPemPvVYs0qQz7j2fXOJk6IujUJklyTqUt1A+0qat0tES0qhQKBQKRSOhBLu54ZC13Xbc0XydPGsW1SeZMoR+x2ldkwhmIF2pNYOFkt/Q+2mIfZrw+ROSZVy+7PVUpjNp8xh3LY6UpyXyvmcqCWm016GJYmPR2LAqTZalQmvNl0KhUDQjlGBXGEYOGUId2ren9Rs30uxPP40n1+J7kAS6iCPe7hJxGjJdjGY5KawkTa18voA0JuYt5eQhb6NpwvOpCHhcXgtBIZOhUFxpJyDu80nX0sI9+TGGlKcyF5HhesJKbRaRwryiYg9sKaA8KzYPCoVC0YKgBLs54SFX7dq1o12HDQubiRSi3XOfK4TAxqQxUeNdCFKS2kYhJLM4whGSWVz64rTbaSYjSXGUW0tdyKSh2HgrVIPcWEKphFShUCgUEkqwmxuegX2M9STyPgh2SJsYIsxp74WeTUuyy026GkumfKYh7vf6+hz3fV5f4fKe1F7HySqOnBcyOUkzKWoM0kwgQu8lfQ8h7mCdYt4tBsXW0XKUQSWhteZLoVAomgEVTbA3b95Ml1xyCe211160//770x//+Mfgs1OnTqUTTzyRxo4dSyeccAJNnjw55/4TTzxBhx12mLl/7rnn0ooVK6J7IE033ngj7bfffrTPPvvQDTfckLV/tli9ejX96Ec/oj322IMOPPBAuu+++8o6mO0mCTY/m6QBTaPJlt/TkIVCiW+IUBYafmO1nDGTijz3haF0p0lnMWmKS2sxYaeNP+532nvFPJf23aQ0NaWW3veONFtprT60W2u+FAqFohlQ0QQbRBdE+d5776XLL7+cbr31VnrmmWfyntuwYQOdffbZhog/+uijhgifc8455jrw/vvv06WXXkrnnXcePfjgg7RmzRq6+OKLo/fvueceQ8AR/s0330yPP/64ucYAuZ4/f755F4QfZPw///lPeYhPJkN777KL+fnG5MlZDavzTM7JhDHkKc/mOESu47RzcQQwzXtp8hzKS+i9gNxiIeLxyi8UZtpJTRrSnkSik55NklUaklpqDXia60na3yTXfZ77QTvhuHwyOS6GSDbm3UpFirog7crVDEahUChaAcEGOX744YcNMR49ejQdfvjhdNZZZ9EDDzyQ9+xTTz1FHTt2pB//+Mc0fPhw807Xrl0jMn7//ffTUUcdRcceeyyNGjXKEPdXXnmF5s2bZ+5DI33BBRcYgg4t9oUXXhjFM23aNHr99dcNqR45ciQdeeSR9NWvfpUmTpxYfOYSCOLeo0ZR+3btaNHy5TRrwYLsPTZlkM+7ZMJ3vZCDVpI0qoVqXONIVRqy2Rjtri+/IXMRn/zccHwyctPpS3cachxHfOPKxQ039H6SjFoLWlNeyoW0E2GFQqFQtE6CDWJbW1trtNGM8ePH03vvvZdjvgHgGu5VWe0S/u+55540adKk6D7IM2PgwIE0aNAgc33x4sW0cOFC2nvvvXPiWbBgAS1ZsoTeeustQ8qHDh0a3f/5z39O3//+9xuXwRjC1LljR9pr1Cjz87X33/eSO692Oo2G00f43DSl/Z0WhWj9kshmmneTJhy+5z33vfbWcRrSuHTFpDfNgTepwy1kAlIKNAVBUxJYOrQmDbxCoVBUMCqWYC9dupR69+5NHTp0iK717dvX2GWvWrUq79n+/fvnXOvTpw8tWrTIfAdRDt3Hu4C8j3gA3IeWe8iQIXT33XfToYceajTYf/3rX8tKJEC4Prf77ub7qyDYhRJpJ7zg9yTNdJpnG6vRTjMpiEOhpNu9VogGOE7z7CHnecvqSTKKezbpt/u/kElAkvY86dk0cox71w2n0HqQ9E5aWYQmZoH0xZlOVJRZRdJEUz6Tc6kC0q5QKBQtFO2oQrFx48Yccg3w7y1btqR6lp/btGlT8D7uybDdeGCqAhMRaNN/+9vf0owZM+iqq64y5P8LX/hCMP11dXXmw6gXA1ueH2WXnBHRZ8aMiTTYtZkMVbkmD0BVFVXhO+Lhj9Tu4769luF7+I7w5NHJYgMXp9ikna9zHNV2PsZpcTd+cR5k2D7yxfmQ+ZHv4iPyaL7jP+Ln+66v5EjQNry6OpPnHC00hyPTVV+flRHCrqvLfrfhGpnhg+c47/wbsuW4a2tzZcXy5mJw0yDLHf+srE0dkbKXYfLzNTUN6Xfvh2yEOe2iXkR5cd/zyVb+lnG59+X78poso7gju5MIXUj7GkekfWmT74nf3F5luw3GW4AmOGprzQRTv3yy9ZVFQlrLlZeg7BVlh8q+eaHybz641hBthmDDptol0vy7U6dOqZ7l50L3O3funEOm8ZyMB/drampMA4ANdpcuXWjMmDHGfAUbHuMINoh4KoD84NMutyh6WpOV6XPn0n82bzaEXiS+4fvGjVQOTJ47l1oFWL6AnJzwNZDjdeuokjDZ7g1QNJP8p05V0TcTPvjgA5W9yr5NQut+60PFEuwBAwbQypUrjeYYh68AMOcAae7Ro0fes8uWLcu5ht9s9hG6369fP3OPw4YpCH8HcB9hbLvttoZcM3bYYQd69dVXY9OPDZHynfo5c7Iaw9payoAgC42y0S5t3Zrr3aJ9e9p5u+0Mwd4wcSId+LnPZUk4Pu3bR9rcKkwQoNXE5ADhIjzcw7V27agK16FRXb/e3M+AUEKDjfv8HGuHq6uNBnvK0qW023bbUQ3islpLaMGqpAabtckAX5caZia28prUMLJWTWqyZRhyZsnXZJwhTSRr2yHnNWsoAzMh1lxDbpxfrFzYiU1V587Zex07ZuWFfCPPkOfmzbmTIE433hNyzkkr3rUebPiaeVaSfZHmDNJSVUV1mQxN+fRT2m3IkKzs5STAlacMS642uBpGVzst/yNc+Yxbnj6tp4zL0QDnhCOfcVcn3PQlmeckaVh9GmyZtjitubheV1tLk6dMod123dVMrGPjLFCT25xa7Gj1SiIkmxTpLEdeoMQAwYACI0f2irJDZd+8UPk3H9atW0cf+Q70a+0Ee5dddjHEGhsVeYPiO++8YzrgamfJG76t77rrrsj0Af/h5eM73/lOdB/vHn/88eY3NjXig+sg2NjwiPtMsPEd10Cu8cydd95Ja9eupe7du5v7s2bNosGDB8emH4OEHCjMoGSJUSawhG7+CoIwfNAgQ7A/XbqUagK2kzLcHNMBe43vmzg5Dht+lAIZhg2/pqrKfCISCFMK14xA/nbJNH9nQusSbM6rNAGRYbl54bBk/I78cq6B5CLf0luIhIizykeEEaxLGC155riqfMTffmd5R+XgEmyEY/Pj1oea6mrzyQmTP3JC5COecQTbfc5HfGV+Q8Q3ZELiqxdJBDsOIYLtmpyEbM8LJNhR3Xfabosn2NkE5F70TYx8zzVxXvJkr2gyqOybFyr/pofLJUsePlUoYJ4Bt3pXXHGF8WP9/PPPm4NmTj311EjLzPbT2HgI39bXXHONmY3gP+yy4ZoPOOmkk+gf//iHcfsH8w648zv44IMjzyC4DxOQCRMmmM9NN90UxfPZz37WaKx/8pOf0Mcff2xcAiIcvFM22IF+UL9+5j8IdnTdJRFxG7NCG5lCG55c8ut8D256irOBjbOrLfRe2k1Xbt5Cbgnt9aBNvG9SI67FyiMujNBzoXwmhVOIbHxhhuJMejfufrngas3LGU8x75Qz76VES0mnQqFQtFBULMEGcBgMfGCfdtppdOWVV9L5559PRxxxhLmHkx1BdoFu3brRHXfcEWmp4X4PWmc20YCrP2xMvO222wwx7tmzJ1133XVRPGeeeSYdffTR5iAauN/7yle+Qqeffno0q0RYMIZH2PCh/dOf/pQ+//nPNz6DIfJmvw/q08d8/XTZMr8rtyTyFn0tkOwF0sNhJR7UUggBSxNWHJKejSPOadKdlL64dxub1jThpA0rKe2NiSsuXt/9xpA7V1teSPzFxptWZjEa+orzKBJ3v6Dg9CAahUKhaFEmIqzFvv76683HxfTp03N+77777vTYY48FwwI5ZhMRFyDRIPPydEcJmJHcfvvtVDYE3LkNsu4CQbDzyKG7VB7SmiYR7TTEVt4P2d/K59JoGOPicuNIS+oCMjFmIuxxRZrCxE080l6X5eHKSrxjzJfc6778y5UCManJ8UTiM48JyT6pzOKQRFB9aYkLv9D4S4XG5ruYMFoCGlM3FAqFQtFyNditCkVorwZbgr2AN2hKkhV3EqFrdxwghUHC7aQ7x4RCvuvLW1otbNL9EOlPI0eZR95I6pziaNLvOeHRl9fgZKRQEt7YMFwZJMkojfyLqJcFlXGxSFu/iqlj5Uizr3wqBUkyCKW30vKhUCgULQhKsCsNYqAeaE1EFi5fHh4kCyFT8p0E7aTXLjkUVtx33+9Q+nzEMendJKKQRD7TEqM0si6EkMSltVjimOZ+Utkn1bPQO0nxFTgxik0Xfw+toPjSJL/73kuT76S8VDIhLUSu/KzcpCrejzN3qQgzGIVCoagAKMFuboQGOKHBXrpqFW2Gy7g4bSf/931C90Kb/+LS1xiNYBJJjwsrzTO+dwrNt5su91nndybpfV8ZhNIZk4e8CU8oj0mySJKX/B/3TCHPNQXi0qWkT6FQKBRNDCXYzYUkQpDJUJ/u3akD/DNbLXaOWYN9zjXzyHFLl0QWpQlFiCjK953wvBsekwh5GpLtk0kRpDTKsy+PMBMR91zTkLwTINMQ5iRy7UufL6wksh5HhNMQ+lAcSSgFQS803MaS40LqVVsg4m0hjwqFQlEBUILdHEgiSPY/FrIjTyLsqi8URmDgdDfMBZ+PS4v7XojwxYWV5n4csUwbXiGEPzCxKSieUNpD70WX4jXBiUvthRCltPIO3UuSSRLpTxNuoQQ/NCFJO7lIqltp05MmjkrwJpKmHfFzvu/eR8N9jpqKKBSKtg4l2JWCwGAlXfUFyW1aTWea9930FKoRTchP2TSpoWs+f9dJk4Q0Mnafc/Pg+WQaU15u3KG0FiqjOMTJtJDwCn2+sWhsPMXUyUpGqG0WOsFRKBQKRetw09cmECJNPk8ikjDyqYKCQCZ+2CQC4BMUcbKke0qjSFceKfWkMc8FXUB7F8x3WmLJv5Nc97l5BjjvLDd22RcyIeH8s2zkhi/HTMcbN4eP70LWQaLuCSO6Ksoix11fXP7l9zh5ufdDrtpC+ZTvcFhx74Weawo0V7yVBFnnSumiT2WrUCgUOVANdqXCEpiB22xjfi5kV33yvvvfJcXyvhNuGi1d4uE2IaJXjDYsRKiTwnLJZJo0h9JZyP2kZ+W1NHmImWTl/S6EXPuuFRJ2mnhD9S3tu4WEn4S4ei/DKrTs4t5JG1bOpfJqjOUBMFEaktKW9Kz7vERbn7goFAqFAyXYlQTP4DXYmoiwBttHnnkQTeXRIul63DOlIEBJeU4TTgoSEzq9Mm9TaChvIWIeN8lIc8+XNjcPSeUWeqZQopdEopIIeqFEPw1K+V5SOpNIckqyXNQzZURq+/1iZa1QKBSKRKiJSCVCDIBBG2xpgpDik3PgCuCcaphjJsJpcOPDs3wv9Cwg0yWfjyPzoTBDYfnk5Uu3DMfm2Tztmo5wHn0eRNyTH0NeRVKkKW/TqSwL9/lQnjz1JPF0x7g0pjER8eXLjVuWV+gY87SazrjyTpu2UrxfCNJMOJrLNEb+L4WJiCxrhmqxFQqFIoJqsCsNzmA4yD1sJqSF9JFKeV0+H0d0Y9ISvBYKOymMuLwXo2Vz3knc1OiTg+ea1+QmLg8hGeQ9mmJJ3hdGnHx9ZZhU/r540oSTlM401xv7bGPjLyaupAmVD81NPpPKs1DIiRR/FAqFQhFBNdhNDTkYpSBVg8QmR6NlrqkJkyL5PUSs5PcQqQz9d7VW4r/ZgFfMICvjd7WfIc1aKL9xGvi4e4VMXOJkFEqjG6+473XXl3aSEqc55mfjysSVXZpwfPfi4nLlHxeH793QakXcu/JaY+okv+/GkUbz66ahMWS2VPDJxdc24tLsrnaEZGPrdlF9QgWa1rSkfCgUisqAarCbG3HkDhrs3r3N/w2bN9PqdevyCZ/PXMFzcEqSt4ycg1dkuhrzSZNv+/Edze61VfaRUJd4yk9dXW7eC/W8Ip+Vh9LI9xPylip8lrssryTZurKIk3/ctbh8hMrOfT9UNmnCS4u077tp8tWTxsZZCYQ5CaHyCNUbhUKhUJQMSrArDQ4Z6NKxI/Xq1s18/1SaiRRKdFM+k6hRjRmcfSQ5lqA491JtOEySnY8Yh36nJaVsw+6mke+lIS8hwhlHnD1593p28cUbkHEqku6mwRdWKB2hayEZlQJx6So2nHLF15RENm71p5DyUigUCkXBUIJdybCD3GB5mmMSIZTfPeQpct2VRDCTiFvoOfd7TL7ctOU+4iGvofd9cfrS78aXlO84MupLU1K+0hBu37uh33EyKLY80uYrTbxxafWlPaksQtd8v0P5CpVrijoZRCHpcEwomuzUw6T2G/rtCyfuWU87LkUeZTjNcVJkc8atUChaZrtVgl2JcCoC+8LOc9WHj2v2kWAGkmgm4TMRccMPvRvn9k6G6fwOEn43HSFSFCJH1uzFaJ99+fGZjvjkEZKheE9OXMz3tGWSNs9J99IQ0zhSGiKxobrp+x8irD6kvV9Mpxgnu7Tvh9ISF0alEq+09S3pfYVCoVCkhm5ybG4wMQtt5hKu+qQnEdyNTk8s9IPXsGGSTzUE5CmDceG69520evMQyHdIFpEkXLnwO0mnBXrSbeTluCbMI+POSYl5xDzu49lEGck4JDuX4LAbxGLLIC0RSiLQcZsV496P+y3LLlSuod9p0xj3bly+4q7HxdVS4CsHX1sqVV5bg8wUCoWikVANdiXDDoI5h82I67FLHnGkzkeQQuTMp+WKuxaK2xemG5bvfV+64sIOpd+9JsL3+qZOS3LjnkvKV3Q5Yeneue/augfNaEJE3vdsCEllGZOv1O+nfTZt/fT9dq+nmYykyXdcWpPajDfKwpczg++Eyj5tvkLlEWqTCeEWs0wb905zmmqoqYhC0fKQaWKTEdVgNzWK0OywiUjOJkffQTMes4WqkJcQPkCFf7P7wDReROT77rO2EkfxFjLgJ5FTNyw3HCuPyMsHf1iLLDTYJo1xGuqAKYj3OR+xY5lXV+doxb3pts9FSEqXe/hOMbJz3S2mId7yeZ+7Rl95hBAXhhtXUljue768F5oWX/zu9yQXgknpLCRfhSJJniEZFZOvZiS6ZYFPBgqFQlEglGA3JYpZcs5kGjY5+g6bCdlgxxFCS6RzTm9ksi3947ok0nef0+CamIj05/x378mPj+Tg5EWXsMcN9KE8y/sF2JSHbLCN7Dz5jrTLcgLjngbpk01owuKGFyDWuOKd1Lhxsfzi0hJHLpOIe6g83LjT+Od2r8WYUXn/u36aQ2GkSUvIlKIQcinfa0oCl1S2oecbexpnqdFUcbcW0yCFQtGsUBOR5kTS4GzvD5IEO/B+nos8X1gu4fEQtdjw3eeSwgqR64Rw83x4J+UrKc++30l58OQjcUkpjnDG5ckXfiH5DhFSH8FNk+5i4wqlO/R+XFnExRWX5jRx+eQSKvs0afF9L+RdW/Zu/Upaxgy9E3g4ud0X2tYKKWtPugteovUQ3saYncS+l5Jcq0cRhaL5zDoyadpyzDhY7varBLupkbRBzwM+bGbRypVUV1ubTxLkx/USEvIa4j4jrwNJnjbizBjiEEdskwix7/m49+JkVOgmxpC8QmRNPJMqHmlqEhe3TyZpyiAgv1RpS5JrUjmHysj3P009SfNc2vfTpMXNfwihPDY30pat+z1tXtK0e4VCoWhjUIJdSQgsyQ7o1Ytqqqupvr6eFq9cmUv0HNIbEaaUrulynndPE3Tej9zQhVzQpSGeofATyGee+z9fWPJ7sW7ynE9kt17IoTVAGpeIvrD4XbdMU6Q/tbtD+9v7vCvbkHyTCFvofV/4vucLuZ+2XqWNK827IVlVIkL9QFJ9ke83Nv5SoCllHVfHFApFy0CmeduxEuxKhq0MINfbWi125ElE3E9FYAohUKHwCzmkJq4ipyE1acIJpTdwP8/0JC5uN//uc3FpCTXqtGUQykvO4ynkEpfXUHpDeQ5d8z2T5rmkuApJV1L4vveS5B33O82zIRkXWr89ZZ3aLCIprrT9hvs9bX/hXmsMEtpgsUu9Qe8rMi55PRB3miXs5j4sR6EoFZLqta+OZ4qo/75nCmlrhbTjckAJdiUAm/gSbP7Yk4j0hW0Ir2takHbTXpIWO42mKy58Tk8Mqcoj645MYj8yLCfcvLSE0ijl6Ibr5t/3jntNxp+02TQUthtGKCzfc25+fHLxydd3PyBfGW7iqoLvewhpSU6a99PUl1Bcvrh9aYmrs6E8NReS6m1MG815X17zhd8aEMqfQqFQVDLB3rJlC7333ntNGWWrQY4v7DjzDzmAiv+ZuroGksbfxTVzn38DIuwcMwlJyt1TEqXdcRKBSyLQaW2DY8jtmrVr6Xt33027/vCH9NGnn+an282bLw11dbmy831S5CH1aZLIhse8JWT6k+O1hN9PKgMnHbGrEglllLiikea+r06EfsfBlUXaNMn3+X9S/QvFHUfQ0qS/VPDINe+E0bjyCMmmkHhbO9pSXhWKIpFpw+2kLG76Jk6cSFdeeSV99NFHxm5YoqamhiZPnlyOaFsvMhkaYgn2vKVLo2vB/3EDZsrrXk8evmdkWCK9sYNz6HfawT4mHk7T2rVraa/TT6dZINZE9Nh//0sXDR1qnjnhl7+kGQsW0IRf/pI6t2+fH15akhjKK3/SuMPzuXtLQ9QCnVZembhpcOP1xe2LU7i8M24Tfe4aZVyuizwZXhEbfVO/F8qLm6Y4GYTiT5sWVx5J7u74uysz8R6Xq3ely33Hk5dEMwg3rb76myQz3/2Ek1iLNn/xhC/f88kpySNLQShRWElpVihaAzJJ45WDnLbgPlPs+QO+vrXM5L8sGuyrr76aBg8eTLfffjt17tyZbrnlFrrsssuoV69edMMNN1CbRqgSJFSO7QcMMP/nLF4cJnyBT46WU95zNH155iZxn5AJhasBl0hLWvm++17cs87vf736akSugXdmzTL/N2zeTP986y2atmABTcK1ULg+mXnSEnSPGNKiyrz5ZBmK270mJ0ExeQjaofnKw5V9KF9pVyh8ZReXlmLe8z1bTFxJ4fnkFScn93ohz5YannoWnECHZOyGFZf+UuclSXYKhaKyUEltNZPQX7U0DfbMmTPpV7/6FQ0fPpxGjx5N7du3p2984xvUp08fuuuuu+joo4+mNg3WViVdExjWv7/5P3vJkiBB85lyRPelqQGiw38Zp/vfZ0IBUwn3ORtvFB4frhIarF1iKvPAJ0nyf35XnnKYRHrse+vWrzeXOrRrR1tqa2miJdOzFi6Mgpoybx59Ztdd88kwE5CASUiU3xABlrbsnBePGYg8ZdOVvbnPCU0yR5Eyk4fVOPKKNM9uvIivqir3oBofYZZxcbpwEJCtR3l1SpaJT+sQR8r5v6tRlfcD+czJq0/THheHG5bv/biDbBpzaEkpOv3QYOJOnnGaqewHXPn4DhdyT7P0xZkmr2nl4aLUGt5i01GucBSK1oRME7QLX98T6tOBJm6nZdFgQ2sNUxBgxx13pOnTp5vvu+++O33yySfUJtHIyra9Jdg5GmwOl/8X+vG8l6fxjPvEaXfdvDfmOfs9cZlb/F6/YYP5uv/Ikeb/7GXLaNnq1fTxokXR61PnzcsLL5j/OFnLe768xOQpSDTt74I0xXHl5j4fl84k0hj3XEgmcfdDcYTei3vWrSdJsnbzFMp3Gpn4wkoqqzikuR/3TCF1OKlehfIYdz/0nCftsQfkhPLixpnzWq4ngVSHOCXJJhR/iQbttmyrqmihCLXvONPHTEw/nMZULKkfD8Xr+94SCfZ+++1HN910Ey1evJj22GMPeuqpp2jVqlX04osvUo8ePVKHs3nzZrrkkktor732ov3335/++Mc/Bp+dOnUqnXjiiTR27Fg64YQT8uy8n3jiCTrssMPM/XPPPZdWrFgR3UNB3njjjSbd++yzjzFjcW3HgdraWvrKV75iTF6KQprOWN4X2uJh/fqZr4tXraKNmzc3hBcghYleMXzfpebV1TL7no0bfAp1JZZEaEJEK0AcmGAP7NmTdtp2W/N94ief0CxJsOfPDw+aTr6jgTrN5svAx0ve5W9pIuKS6yS/1QkEJNYkIHo0xQQmTf585euWqe8595m4a0nffZ5UQmlLk283L770xd0PpSWpjZRiEHDbcGhiHEprKF+hdJYizUnhFBBfQcS1mLSXKr9KshWtBSVsEwX1BWmuJ92rdIJ96aWX0urVq+lf//oXffGLX6Ru3boZ8nrdddcZcpsWILogyvfeey9dfvnldOutt9IzzzyT99yGDRvo7LPPNkT80UcfNaT+nHPOMdeB999/36TpvPPOowcffJDWrFlDF198cfT+PffcYwg4wr/55pvp8ccfN9dcgOBPmzaNGg0fyfaZawj07taNunfu3KDF9pg1uJ5BXO8T0htG9F16D5EE2zVr8HnSkPEmedcAQqTS904gnJDdsXudCXbXjh1p/LBh5vs7H39MHwsTkakLFsSnOy5voec5Pa6nFhmeQ3byPLjEyd5HlnzyFteCk4K48kp6PvTbVzahSZ2sB0kf91mGL6609dB33ZV/2vT50uaLS14vJ2T4bl0S9c1bN6Q5SSgPPrmVMo/FaoabaODMQcgMqVLSp1CUA766HNcHxiF0P6k/SROu2081Icpigz1gwAC67777ot9//vOfjUcRaK9xLw1Ajh9++GFjsw07bnxg2/3AAw/QkUcemfMsNOQdO3akH//4x8buEmT63//+tyHjxx9/PN1///101FFH0bHHHhsR90MOOYTmzZtHQ4cONWm94IILDEEHLrzwQvrtb39LZ555ZhTHnDlzzHMjRowojZDSarKtTRHyBTORyXPm0NzFi2nUkCHZ+yEilEQCYKsbehcIkTk5mEgbXqQxzSAsv4eekx9pHxoYdH2a4fUbN5pLXTt0MBrsv775ptnouH7Tpui9RatW0fK1a6lv167+9IQ+PvnmJigiezk2z2ny7IQRS+IKJXhWVpEE04bls8f1pcUXjlvmMWkLysZnx5wmPNiHy3rpxuG+G3117NXdZ9y66bvvsx2XzzWhLWC0nyBtvSokX75ycJ8tPMGFv1tsfEn5KCScuDTxd19car+taA0opg1lEjwPueGG2nlS+08KtyURbACa3lmzZhnf1y6Y6Ca9D5MMaKMZ48ePN55JYL5RLTa+wbc27rFrF/zfc889adKkSYZg4/63v/3t6PmBAwfSoEGDzPUOHTrQwoULae+9986JZ8GCBbRkyRLqb22ff/7zn9P5559vNN3l8iJSxRvGYjY6gmBHGx2TyE1a0soDsG9glWRRhicJeoishwadUFrjBnZPmuKe4dWLLtBg77CD+f7fjz6ijtItn7XDPhCTPk94BfmHTiLS4l7G816eN5K08fpkEEd64mQY945bZ3zhhN73ySjU2YVIXNwGRxlPnBzcOuamxbmOX6bO+yYYbni+uFhubr587/vy53k3aIbjvhOSj6fsokmIT2ahuJIGKzc/hWz2jKsbbti+/IbiiWsXoXIMpc/NV9JzofjjFAbRI7qBslCo+8PSI7bvSUt6M57nff12Eln2xePrg9yxx3e/pRFs2DP/4Q9/MF5DoFl2O4s0BHvp0qXUu3dvQ4AZffv2NXbZsOfexp5syM+6mmXEDY03IImyvL9o0SLzLiDvIx4A93H9b3/7m4n3a1/7WuMIdlylYe2GT8th3/NudPSYHET/Q2YGNg6YJkQpcs1T3CVl/s738Z3TaO8ZQiLfjSOCIROL0Pv8W2olfdo5+25kItKhA+25/fbUBROpVasike6x/fb07pw5WYI9fnzQfMN3KE9s+mTekFb21OAz2fHlW+bfI6sc7yNOXOYj3wN48iPkl0eWxcqECd++E3mcseFFsnbj4v/IL2vtfZM4N053Ysbpdj8yPzGTwDx5yDIIycetl05+Iq84vvxy+mU6+L7b1n2krDHEKS0R5vS49VW2dykb2f45/zJvrNjwTVR8+Y2bYBSb3zRhNTa+tGGXMx5FUdDNok2ENOQ0U0JPPYxCwvP1eaFwWwrBhp3zNddcYzYbFouNGzfmkGuAf7ta8dCz/NymTZuC93FPhu3Gs3z5cvr1r39tbLIL0STU1dWZD6NeFGRErJjUWO01k4G8gc/+3s6a13yyZAnVOZUEpMs1lTBEjO1wcVmG67zL79TZMOocUhnZtopVgmgQdQihIWh4t7qaqiQpr62Nnonsjt33XULAv7NCzV5DuJwvabvMz9TX0zprItK5Uyfq2KkTfXn8eHrwjTcirfZBo0cbgj15wYIGWYIcYtJh7aIzUovJMpb5tOnMcXVm4zebZK2MctzxuRMgS2plHakLEWwbtonPlZ2nXKP/0nUiVy+WnZzdw/MP10W+b+tM9Lwkn7Jc+BrKRpIPPgmT5SjTJvPnppllyemThM8lgvws4kId4/QwOUSaoowHtMjV1Vm527bL13Nc/fnMLOQ1Ga+Mj9PtadM5z7iykWmN0xi778h04bZsa/yRkwMbholBkm1+RrTb6LpbBm5+fXXSzbf4zn1l1GfKehki8D65hOTlysn3vCO3WMSVTWgVIW068x4pL4HPk30LR0tbAWgp8o/1xBPXP1Ul9G0+yHfi2r8M1xcm93183+mbfc4sKp5gd+/encaMGdOoMKD5dok0/+7UqVOqZ/m50H24E5RkmrXt/CzuY6IAM5OR1t1bWsyYMSP5oXbtsh8GCI6j8ZeoGjXK/J+2ciVNHjQo/wGh1Y+wdWv2v/WkkRZTkS4e5JCmmHQZ8CAMCDvn5sJim4ZVI0bQlN12o8/8z/9EBHvQ0KHUA/b2Tz1F765aRZMHD254EY3Rar+pe/fsR8Inh3Xr0pWFbOxSTr165cse4MbP9R3lgXcqQL6tGVNggqVoFugpv82HDz74oBljV6j8Wx/KQrB/8pOf0FVXXWU2DsLWWdpLA7iWBGyGXLlypbHDbmcJB8w5QJpdV394dtmyZTnX8JvNPkL3+/XrF226RNhD7MZBNhvB/SeffNLEiY2SADTe7777rtlAiXshgJB36dIl+l0P/99WDhloV0Hi8dm6NWvyABJVW0sZXANZlZo5q7Hcan2LL50/n3ZbsCC7HI/32rWjqm7dKLN6tQm7iol6x45U1bOnieOlZ5+le555hg4bPZqO33ffbNqQHvGB5rmuXTv6cMAA2nXzZqrB5ANaQaQJaUY5sPYKceKwCqQdds344F5NTfY34scziIcnEiD7VkuUAYnlfEIGVtNt0t6uHWXgitDOTE14eB/p4bTaOpHhMPHBNaRz0yaqtiR55NKlNHryZBrZowf9ols3Wr5uHe3auzftZTXcGxYupNHz5lEV0tu1K1WBUOP7xo2UWbXKfMw9xA0vLngPae3cmapwDWnDe6ztw7UtW6h+7txIHngmkhFPXJB3PItVC7gOrKqiuvbt6cNu3bKyZ3lCc7xhQ8P7HTo0yNeWRVTm/DGCEeYgeJ7rky1DPI+8yWtRWvEfZcuyBXAN+cZkwmq6Tf2VcSIMm0cjD5Qj13MRb6TNxXefBps1EYif66fU/vJvqd3geop6IzXJNj4jMw5LaspF2uu2bKHJc+fS6D59qIbj4HTL92QeuG+Tqw5SkyLTzt/5GZ82W5Ydw/ddanV8Ghyhhc+g78PBS9LsB/LgfHAecc1NK69GsdbbzTfn3ZdfnwY7oO3F6gHI9W6jR0dnKOSE79NgpdUiS7nK/77n0moRQxr0NKYroeeaSZuNMdbIfrfdcmSfNq5Ks3f2mYhUQrpCgOYa5BpKyby6X8kabF9/l/sC5d2XK19pVp9kHy/HNPd+qG/BOIsP33M02DiQ7mOM1S2JYIOETpkyhU499dScis078z/88MPEMHbZZRdDrLFRkb17vPPOO6YSuoQdvq3hbYTDx/+JEyfSd77zneg+3oUmGsCmRnxwHQQbhB/3mWDjO66BoMPVoAQ8jOC9b33rW7HpR0PJ66zswGQ2Moo8RDaibMaRfSFvuXJH6wt70cqV9PVrr6UbzziDtof2FaTWmnFEdtVsTpAVPF3717/Sv6dMoQdfe41ue/ZZeuuaa8LL3Uh/fb35ROYh1uQjZ/nevs/mGvLD5gAmX5LI2yVmuZkzpzu0S9XmGi/TS5mw2QWTTw4zJ4gMbbAEunv79tm8VFfT1z/zGbrtuedo7JAhtK3VTC9ZvdrcN6Ys0sOGlKdcYhc26ZFtNafV2iubeohGDeJiy9E8GyANZnIh8lGTyWRlb8P1nRwpl/PZ5CgywRCyjCU6kqQ5ZM+0I74eeCeyhfeQxsjkyen0onbA9cJHerhspYmGW49cOaKsZHpzI81Jk1c2PGmA/O3HTTcPMJHsZVqkbFwTEd8kwSXXccuoaQm2+ywTbLlXQdYVNvcQ73nlzXWRZSTz4pGzd0KRlB+WvdNv5piKuHGFwvT9lnKKk1ehZLgQgp20RN5MBJvrtXfMKuD9cqWvtRNsRl7dr3SCnUSUMzGbktOSbJebuO+FxjD+zX2cS7Dtb5dLtgiCjWPSsSEQH9ecIy1gnoHNkFdccQVde+21ZqMi/FDDlzZrmWGKgvDhtg8H28Cc4+tf/zr99a9/NXbZcM0HnHTSSXTKKafQuHHjDEHHcwcffLBx0cf3sTFzW2tGgbDOOOMM83377bfPSRfi69mzJw2WZgVpkLaBx2hltunenc458ki689ln6e8TJlCPLl3o7h/9yD9wyGs4IlwcsDJpzhyas3QpbQ/tvUu0BHmS73sHdPee71kJ9z33mnzOfcZzP++UQ3E/ctMHTa+V4zVf+xrtscMOdNxee0U22svWrjUaBNMQ0qY5umWJriQBvjLw5StFmQWfT5K1nNUH0i5lmGcbnSZNblzuM748+9Lmi8d3zUdA49IpSVmSLH0EznnGewhPnBwYsl74BppQXjxEOTHfvmeS2mgaN45uHD6Z8fdQOn3vFRKWez1OJr7ydBEqdzcs3+9QuhsTryuX4OtCcRFzvxTEMi6u0EbCpPQ112bGtM+6CkHf9TaPpPYhr1d52naoL4h7R/739e2+8UHel++laaeVTLBhw/zNb34zIrDFAofBgGCfdtpp5rAauMk74ogjzD2c7AiyDa007t1xxx3mMJqHHnqIdt55Z7rzzjsjEw24+oPJCg6RwQE4n/vc5+gXv/hFFA/8XWMzIw6iwQzyq1/9Kp1++ulUFrjaK/c6f/c9W1VFt55zDo3bcUf67u9+R3Okuz7+QJPHG+usxmrzpk20wJ5cuUPfvvTJsmX0nw8/pO2hEZcVDpplx5NFtEGKtaw8KwTsEj+0yEbLy2Ctl/R6AYg05Xz3ecIQz+VocG34OR443PDhRcTaKcOLCMsOmxtPPeAA87MzzBiwySGToWVr1tC2mAjKMKXnDmixkVfnel4e3HeRF8iF3w3lWS7BS422yJORgevJRMrK5+mC641Mr6hTkUcTuRFVbm6TsmVzFOklhD3HuO/LOujkOdJKu/cChFB6NcnbYOep+3mmGiJdMk2R1l+uyriyk/IUnXJeHtx8xBFdJywvWZTvJmmHfN/dwQZpw4qKyKPZDIqVLykjq6E2+XPqX5483TjdQZCfT5OXUL5C19w8+oh4Grkl3fcN/owQyS8lEUvKpyK9/BSlq5O+70Co3wOS2kkcSZd9ECPpfXeMkVwq1I+1FIIN7S8I789+9rM8N32FarGvv/5683Exffr0nN+77747PfbYY8GwQMTZRMQFSDXIvDzdMQQcmlM0bKFGy+/2mrnqLiPLiulcGzlwoPlvSLOPYAiCi8/cRYsMoYCruuPGj6dfP/ssvTZ9On1z//3zK5skSu5pj5Jgy3fYTpPhO3lQkiYPic0hdj7CIxuKj1ixDO1v1mCDVPsaPsyP+nTrZjTYOH5+W55suBMANx8+ku2SKM+EIZokSLLoI8X8X5qeSJLuk6kktfI9d+IRIKNmguTINueEP1kGINVMMKXcXTLv1MG8Mgp9XDm6KwPyu/idc4KjtMGWMnYnFlI2wgTES7ClqUSA5Ef2zb5ByCXYIcjnk8hBiHhKefIETp4oym2W0+K2a/7Opjr2HUO6ZR3m9+Xg55s4hPLt3i8kr2llFBdW3EBfCAEoNA1JkwL+3tTkusxko8kRN3lVNB6+CairXQbca0n12n3G7fMZ7tjA12QY7lgsFQdu39VSCPZrr71mbKf//ve/G5/Srl3RCy+8UI5oWx7iGr5Py20x0HqoWLhiRZa4uUtgDiH55NNPzddh/frR/jvtZAj2fzBBcd/xNQ5BiiNziBSfHNMDF+K67zAXr+mHS1RCz9hPpMFmEyWPLPv36GEI9hLe7OeLzxO2VxZJRNCX9phrsScQxpFTN+4090JhxTxrrobSFkpvUt5sfcjx8y2f99VPT1zRMrUnXTkH+sSVXSDsvGtxz4VIJF8r5L4bT+i3i4Sy9p7A6hvc4uQm45LXC8lXXNrd3y5xcp9LQ9rd9MURal95++IKhZdU3iGSEXM/rSlGdCJp4P1gvOKdYvxKh+ItFgWnIVTvUsSTJK/WaC6SJN+cPCe1S/eZTMxBWkltKhRWUvhJY0UToSwEO05b3ObhLlEw7DXjmUNqy9xljUyGBvbubW6t37yZ1m7YQD2w+18Ogo45wmwm2H370udGjDCNZcaiRWaDX394GQH4HeEVIcc8BB/ejevRYOcdWuPTYruHq/g0nNww5DXfAStufgErt9otW2iLdU8obbBdDOjZk6bixM7VqxsuxqXPvS5PuOTfnE82pQiEE2m0Wfbuf960h/Ds6oGRMd9j0wlXcyvNZ3hDnlsn+D3pSzskV+6QZFy8mmE1xaa+8kqMbzVCahF8qxRSY+6WgVy9kfddTa1MG6eLta4yXU5Y5hl3JYFNXtx2KOuj1OK7eRH1LXpGan85D7K++wagtITUF5Yku9x2pbykb1jevCjadZ5pDtdZWYZum5Ftlz3E+Aioj3zGESJZ9mnkkkZWIci0uvUv9LwvLUlpSNLcKYpHE5OoNgUfuS5Eg500eXQneO4Y7+Mf7rjA3+WYJTmXb0xpSQT7uOOOK0ewrQOhDtQl0u5HoFvnzmaD45oNG+jT5cuN28JZCxbQP/71LzrnoIOMaU1E4KQGu08f6tWlC40eNMgcsPLq9Ol0PDy0yHh44HWJG1wI8lIyiJ47iMPtG95jDYCPVDpEL2dZ321AHK8bFsMlVjbNCHM9XJJZGA12YJCEBhswBNshl27amIjlmSKw6YZL+NiUwn1OEl2bv+jAF+lij/PEZMhnAy49vNg8ypMizW+I1DdB4LK28UYTJHlfkl6ZZ5kuwNYLIyORzqi8pU05P8saZilrG64hqJJg4zLL0j1Z0KkH0aSQ73G8spykbKWJjL1uDhmyz0WaG3nIjsyDIKSRvGR7dTt2mQf5DKcnaeDyDSw+yEmEQ7BzJh7yRFdZj9kFJ193yiMnPW6+Xe8w7oDry6O8Fvrty28xhNQ3ILtplb/d8iok/kLy3lxoLMmopLy0xvRWKkJ9UKjOA26/F9fe+bf8uF4/pELHBffv6PtYCSTDiJs4VzLBPvTQQ73LKLjWvn17418aHj7gvaNNIzQQu/c996DFBsGGmcioHXag4y+5hKbMnk0z586l27797ZxKPnvhwkiDDRwwcqQh2He99BIdt+eeDYOtfT767yMy7j1XM+o2CB/cZ3zh+uKNC0Nc42PS4ZqvA/v29YC197DBzsm7L94kWbgE25M273K8j4CEwgmFHSeTuPBC+YzLcyjcNM+nTUvonk8TEhdnyJwnTVxxMk0jX4AnHaF0xw0wIU1o6PkkGcnVI3HNm29Bnt13Yj3npEmLq9H25SnpWpzWX96XcYTSl1auoXh86XK/+9Lqrjb48hUnC57Y+e6VwrOHDDekbY/7Ld1aet4vyXHmSWH4yiLpXbkXww0jupT/binMRszJwSU2rSkVYssrVOeT2l2ojbvh+MYB+b6vP/WNx6Fny4iyOAGEBxEcEvPFL36RLr30UrrkkkvomGOOoVWrVtGBBx5IBx10EP3+9783vqvbFHxa6STNdeDghsHWDvtTu9ER5Bq468UX8yrWJ5JgZzJ07qGHUqf27emFqVPpT//5T+6A65gpRBpIufzOR4nzMdh8PDX/l9rVkPmBHOBlHG5aQp+YsJhgQ3ttJg+ByYvUYOcQCc+yf+I933NxafZplX2yj8l/zmZR18OI+6yvPOQ7KMs4WfN/aTKUVD6uVtlTbnkmQ6H6wemPq0tOHU0lG1fbDrh5TJPXmDLNWVXwdfqFkLzQPXdgc8osOkI+8DFllFCO3nKRdSvUFnzpC+Ur9Ewoj0nvFypj32AcKq+4uNI+W0haFemhsisPZDtIM77Xe0z/4vqG0LVQfxTXF/N/2c+541GZj6cviwYbmxvhBg8Em/H5z3/euM+7/fbbzX0cJHPZZZfRt6FtbWtwCTbgnKhoqhcqiEuynY2OhmC7cCpZpMHu08f832nAALry2GPpJw8/TBc9+CAdM26c8agRpQMQdtcRieY0MBFh1218AiOTJuSBD1ph8wqnYURkzrXV5vzyPY5PLtFzHgNEgE1EjP21PAxEvl9dTQPsEeU5mxyF7IKE0/dxTVnYHprd67HNMttIs/s/YZaTYRMRh2zLw26kHXZOJ8HhuKcjclm6HQ5fZ9LM6XPzwx0dh89x4TrKWNYZmJpwfq3ZUPQOf3dXS3ydozQRkbbCeIVNXsQzOXVJmoi4pivSW4YcJDh8/i7quqnL/K4M174TubWUhxH5NHZSy+W6HRT5yyEGIS22lJ/7nZ+TeUR+5ImneBz5ku3Nll+UNqnhcd1Icl5kOfHBQByO7CNkGn2aXPk7RDxDBFeGEYfQhCTpOd/3QuL3kQX3Hbd8XTlVoEazRaFYGSpJD8vD1ybdelsvTMrca7LfccOU77njAPdDkovIPtwpZ8Nd0PfxPhObRj7sL+q/W5IGe+7cuTRq1Ki86zvttBPNmjXLfB82bJjxPd2mEWMCknfdYyICwEQElWZbS7hd0o2jQJfZTXxMsPH8+Z//PI0ZMoTWbNxI90gttm826dMsxs1e5XUOSyJp5spEPbT5TYbpeW8da7DlBkePjFmDvZg3OYrwN27eTHc8/TTNRR0NpTcm7d4PL7U5efSGH6cZSArDeV/e95oJ+MoyRd5yNOihusLPeq5nipShfCcnb3Ha5aR6GiN/d+9AmjqYlG5vGPKZpO8FtKO8cpaa9QLqWep8xl0P5cOXr6S8+u65aYiTcZqwQuXnhpsUr5ufpDTG1Zm4MOX9vEu2Tw2lK22ek8rZiV/GmxN/qRCqT2nkXmhYgfdKmceyyyscceF9WFzbT5JbKHx53/dcIf2Q22/7xqqWRrBxYuItt9xCGyzRAfD9tttuM/6qgVdeeSXvlMQ2gdBM2jEDyTmy2GMiMog12CtXmv91YiY24aOPokrEGxx7d+lCPe3BO2yf/P3DDjPfb3/pJaqFdpQrHeAuwYSWy31LzmlIjm+wdxuC8z201G6WfUS4eT6w3SObrbwjDbbHi8hDL75I5991l9HwBxuxL29xJM+XN/c9n+x9mnr5Xkjmvu/Ou0FSykfFi2dyltcSTFKC6fPJwieTOBkmyd0xfQmmMzSx8JhEmfxLMxpfuGlNZ5IGJ/c7/5ZI85s/Pm9APjMRN28+2XLdkJMmcS+PtPvy5aYvCWll5JNFSC6hZ9MM1r77oXjjyiXNs8UgFF5ToKnjTBtfUj1RFC5HXx8sr9cnmE2mGVNFv5I3ViWNE/zfNWF1++mWZiIC85DvfOc7dMABBxhNNTrjOXPm0MCBAw3xfvXVV83x57/97W+pTSFkg41/7J5PmDTgTibwbmQiYjWsq4XnjAkzZ9Jxn/lMdMgMsD20106H8rV99qGfPvIIzV2xgh5/9106ds89oyUT9k6RkaYJbBLAlVcsJ8O8IdrAh+t41nUN5iMkgrRFG6hEvJFpgjRHkcv8smHZZ9avW9fgQQRLQ2w2waYn+F5TQ/3tKsCSNWty3QDW19O8xYvNvX9Pn57rii90uqNrIhJ61iVvnD/RQZm8yzxaG1oTBpeFNPNgjyX8W3Z24hmWAZumGLtcPCfMJ3JMPPgdpIl/w2TI1lcsveV4pLByjUxfpJcTTqO0eXOJKddPu5QXhSOuRXXTNSPhD9IkTFciLx84uZMnWrJeymVKfk+avvBhKyxHvs5pkuXKZetO5oQMc1xZhk7NlG3LZ0IiN/C47VHGyWlBfrZsyXXfyO2Jv9t8cx+Us/GZ5SUnqraORPVChB1t1JJmN7Js5W+nbKNwfNc4LHeJ2ak3IfnnhOVLjxuHbENu2chyjiNqcWTaXVXzmYX48lMKNJZcNgU5bUzeXZmnKatypKM1QbYdOT7JPtoluQD3G3Ys85qHSNM297cYHyKeIcLLOZXWLV+MB1u2ZO9LV6nShLGlEWwckf7Pf/6T3njjDZoxY4Y5aAbmIZ/5zGeMEHr27Gk02NsIs4Y2CY9WNe+7j5RDg80mIitX0qbNmyO/z5EGGwDxtmSzd9euedF3bNeOzjrgAPrl00/TJY8+SgfstBP1Yr/YLikWA3bkD5efYyLJ5Ndqw4IeM3wzVZ/LNN8M1/n4TB6iQ2bYBttnZoNNjjav0N6vXLeO+kDDb8NZsWaNubd8/Xqa/umnNGrYsPgZty9/cRpblyC5hII7At9sPS6eEFHwlWXcbxmOJHSirHPekXGFtJ9pytQnRxm/j7C4cflIvEf+OXsDHAJviCe/L8vB3s/zyc5yYb/aLA9PfY3edYmymx+XMMpr/FvCF47Ng5m0+dq1q3GX74v2jt/s9jO2rJI8Cbm/fekO5cUXlpRRSC5J8MXvpsW97otPXvMN9qH3ffbXvnSE3nHT7bseRxB9+fTFlaYs3fIIxeu+G5JX2rKMe9dNf1wZJaUj1Ca9ScpONH2H1AQ9rATKqyhPMAkIHk4nEUqfW2fcOuwbF+PalISTLtcFaqQUcE0EeX+OOxbxHifpocUl9C2JYAMg1fvvv7/5uGjTxNpDlr1mILYyGS22h2TLTY6rhPYaeOeTT6i+ro6qYY9szSW6ySPrWWteVUUXHHYY/d+ECfTx0qX0P3fcQU/88IfZZ3wEwjeQykrMld/12eyG5Q7y/JEaZmeAj0i31Zq5GuVski3BtqZJkYmIZ8UA/zt26GD8gq/asMHYYffp3z8S0XJLsIHXZ8ygUWzOFMpLiHiFCEiImAOuLEJkWGpx5XHsPgLkKz+fht0Xn1vOzuEt0RHhTnq8ZZxw4Exw0hb3nCODnE5TxMsTwzyPF0JjbiA7ZJnnuDzJgcDnz9w3SZD5cMl2EqnyDY7ufa6XcuMnXxcbUXPal5Qb4Mu3LD85gROa3bzTOkOk0c2XlIcnL3n3XTIXQ3hywvLFn5Ret5zi0u0rU5lveV/G5yPboXzEkfjQ8+61NM/70pU2nqTySBNm0ntpw0+qZ4WEH6qPeY9lCnd3FxNmk7vxC5W9JLCynrgHjFXlTkRzlHPuewCPTQxXacITFKkA4b7MbkrnMCMHArwiySRcbnhsKQQbXkFg+tGnTx+zwTGuEnz44YfUJiHInhnoJfmTO2OdpV5Dsh13fUywt9TW0ixrztCtUyfasHkzbdq61dgVb9upU8OGvw4dojREJ7QRGe8hfz/vPDrohhvoPzNn0r8mT6Yd9t67oeJKG03hYcS8bT0rmJLmMDFgIw42EfF5sOABnu0+5fK6Dd+8yw1UEhyuV044USOtq4ts/6HBroInE57tygMjbF769+plCDY8iewqNIyswQZemzmTzjjsMFq4fDk9/frr9PW996bOnTpFxCTn1EZ2X8ikhT2HYIlKkj028+D3OE8sXznRcs105NIWy4rlYs1hmCxGZiPSfIHrnjARMSsHwkzA5IdNAzgtXKZcR9kzBXuXQJ4hbw6P0711a2RyYOTAgoWPcmkbJw9BQbrsqozpFC0Z5DqW00HyMiGex3Igr+ZYsytD9Gw9MKUvD13h+3wd4PddIsn3uY6zvJEG4alD1rOobYg2kjNI+jS+csBxiaBLfNxJCqeZtdZcTpCLJN32GT6ZMcfTis2fWVZlufDqko/wOyYikew5//JZWa9lHiXxdImGnLC5cA+14f+yD3UG+ShMnxcD3yRDTiJ8ihE3j74wXU9GUh4uYU/zPQ6+CVla0u7KOO7ZuHDTprUUcPMr20Sozfjge9YNvynzVUnwTUx5nJPtQLSvjO2Pov4V/9kMjc1B5TuAbGeSIHOfzAoMO6aa69KETbRps08E97Gibccl/M8xxS12YtfUBPvee+81ph/AfffdR/V2uRSa7MWLF5v/q1evpuHDh5cqypYPV7PqfmKud2zfnvp2707L1q6lafPmmWvbdOtGPTt3pgUrV9KCFSto2wEDaAObS8AeWS4xiUFn10GD6OgxY+iv//0vTV+4kHbARddHsRx8JNGVmlMG2wonHG+et0nKDmQ5mxn4mjzSWpIrqXmz33mTY46bPvdd+x3Hpc/49FNa5Ljqy9Fgz5xprl3xf/9Hf3z+edq6ZQudffTRudpLK7OcAdzVlAYIUdRJyY7I0TL7NKZ5MnBlx6Q3FIa7GVASCZlmqa2QGmxXsyvKwBsXEz/PMfJ5WmVfurj8nPqX97yccNiJIZN9bx5lWmSYwl49b1LD5J0nBu7k0SLvhEzb9nJkIEmWO5D5CJbvGYcE5JhOOVocHuiiAYzLRprWyOPT5b4B6erQJdiyv3K1V5FAYkwt3Od8hEne9xEpH1w5ucRJyk2UiyQIkTsv9+CgkHbPLRdfnE7cee8moVCyVww5dElqqKx8z5YbSXVLpsn3vO9+XLqTJictmXjH1TefXPm7nXhH7YLHQzl+V1mts+wDQ21Hjn2yX5UabPmeHCPcPFiliNm/JONgpQgrbFoCwd5nn32i7yDTP/rRj+hXv/qV2eT4wx/+kDZv3kwbN24019okXMLs3vNpteU7nne37d3bEOzpCxaY3/AS0rldO0Ow5y9fTuPhpo9NRKDBdsMVGN6vn/n/8ZIlDRd9g3iIDLhExV5njbDXlZxL3n1mA5JMO+/muE/jaz6CzVo9IUezqRTuDa0nkUXWGwtjxdq10XfIBLbuM61HlilW3jlyAmxaLr/7buq1aRP94Kij/PkVMrr/hRdo+bx5dMERR+R3MlLubt7Z3EGG6cpTkskQwZeTBGGT7B65nve8a7rjEnF38uS+79Pciudy7O58aXFl4xJtl4C74Yj3omPYWeZSI8sTArnCEsqj/M1wy8Gt66H8+Aa10IDktk233HkQcuuq61fdlZtb7lxH5IRKpiFQrtGqRBwBStPPiAlKnpxC4cnnXXkF7keadzctbpnKZ3xhhSZGaZ4N5UW+KyHfS1NvfO/I9PmIsk/Wblhp058mfWngytNNX7FlkBR+6LtECsIddJsYIoz2nYZL6Uh9Kld/oWcC5ZNDmNksjM95EP11RspH9I055hwizGgF09P/xBJsd9WKFQgg2axJdzlVmVEWG+zrrrvOHDIzduxYuvvuu6ljx4704osv0pNPPkk333yzOSa9zUFWDt8ntGzB3x0TETQskMPJc+fSDEGw++HAmFmzjAYb70qyycvBvk5lhLU/nrV0aUO8mQzV19bSkxMn0gGDB1PP7t2z9+RgLbVf+M158JmIuBpT/i1MBGSjiBqje9AHOiV7iE3O7NZ+j9z0YVIBMwSAB39hylIl/YnL49JhImIJduf27Wnj1q307uzZWY8tINwwyXEJnY1j7sKFdO3995ufX917bxoCuco8C61g/dat9K2bbjLPfmb4cNpz553z5QuChxk4L91LbyJ4hmfoXDekVwsuZ/uM6chEHWAvIsbshDscqemVZjqsDYC5B8sTO7TFhhOTVnjrsNrP6IAiPMcmKHwP73HnJ8sfYXAeeFnQHmISmSxw+vi7rWtmtzjvGufnudNFfZHvcJ2UXkLs4Uh4PzLjsGmRpiVRmPZ+htOKjyRfURPONLyHD9Jiyy9aPnVJOLd5rreyLxB1I+e/aM9RHtnbC2QiwsgZxNh8B22FBziWC+5zvqxteY6XEPwWpkIRMeUwhQzMPX5P5kvmzTe5sO1HHgoRyU3m2SXSuYWQT9ZduYq2bAZ/tsWXZcN1l8vHhY+wSmLhThLd9PtkIp9ziWwcoY0jET55+8inDNcnT19afeQ8FL8v3YUgFI+bL9+EyCXGrlzde3HxtQaEJh7yvpzkcr8t+sOo7/ZpljOZbF/imHKYfob3rbApKvMUHj+EiZuZ4DMnsPfMNTtGRunDtc2b4SOaqEOHbBy834j7dg6nTChLyPAccuqpp1Lnzp0NsT7iiCOoQ4cORsv9qdUCtjm4jVJ2qpJgxxFv5z77cWaC3aNLFxpiCeN8S7BZgx0duuLG4WiwP2INtq3MD77xBp1w2230XfiDdrV0Yuk4WspxybOrOZXHUotnco4vFdfybLRdrwfy4xBsk2fZiFw79+rqyJbdaLBtR1BXWxttHB07ZIj5P3fZsuykhbX8Nj+upnWVMC15fNKk3PzIdNbX01qxOfXladPyNaSuTEJ5D8ndlZt0f8jXfD6RpfwdV43RyZ78STiCWz4THcftqzdxafWkLU+uHAfb5PF/Jt8yndIvqpwESjd9/I7nE4XlyCLj3Mv5BNJf1GEv3D5dLbVPa20naNEEwH4iOXny6TtWPVNsGbsaqDT58pBh1wduzopYXNi+MOOeD/UtoXIrpOzcCZHvXZle/s6Imzz4vqeF7500cYWebWx60sIXr6/MQ2lJ8zv0fqiMSoU4OZcDacN2+5eY8YN8v93+0B273D6Sr8n+SvY3TMB9/TXuQ1kCko0PSDp+4yP7wDKiLAS7b9++9NFHH5nP1KlT6ZBDDjHXX3/9deMLuy0jZ0OAJN0u4U56jogGWDLNmxyhwR5srzEZjMgmm4g4cfAS0/ABA7Lvwe2ftdsG3rEnb/5z8mRauWEDPTVlCs1wzUjsf68ZCD/DhNT5nzj4pR3AxHNeN32uLO01PgFTmoishF9sm/bdLcF+b84cs3kUmLNiBW3ljRVSDpkMrRWHK/0TBNu5L2UizVBe58OBfM+n+ARtmN0DQdIM+HFEwEcMHcIh05JHIOPIhY8kuvlM807cb/FensxY/kkEKyRLX7y+/LjvxpW3vOfWjUC9yrkelxbfPU85+cikl+AmkM5gm5co5L2QXJJkl6Z9pai3BacrVF6+9PnSGrrvfo+LM029CtWlUHjus3HpT8pXkkzTxpuU5zTp9j2flMckuReatoQy8p36GDz9MU15p00rkNQX1sf0m2n6Ix5PPCQ8dOCX90CaGAVB5DmqJZmInH766XTuuedSdXU1jRkzxmiub7/9drr11luN+UibRZyJiNRWo1I4O+yjg2ikBlv4cQZ6de1Kgy1hjAi2JZvGTR8voUjbJrusC28ivTp3plUbN9KCBQuM/TaemWkPqtlaV0en3HsvPTdtGg3bZhuaesklxtY+Z6bJdljWPCDaWCYbEpsCCM0hzzyNhwk2ReD7AJbU2RRCLCWZ8HhGK0wOoo2dyDPeRXyYTPByPmDDidwdMsEWGxx7dO5MO/bt27DR0QLynrt0KQ0H+eb8A9BKW7/jwCvTp9PKtWupN1YaPJ3FCnGC5L9nzqQtvIzPMrJh8nuRSQXkxARfePYwdmbSRITrD5b+hblHjpcQdDIsdzzOHj+kiQgvk7MGlJff2MuH2JBivIiw5xbWLiBM9m4izAgiTYQ8lIjrvg0/sp3jvHDZ2ToszVBYQ2E+bL5hn0O6OO7ogB1no4tZhuzcORuW6/3FFLxNI8JlMwFpzoL32Uc4N3kuQ8TPJi62PnKe5OFJkc9pt8/wbdSVEyjIHs9zvyGXb5EuaHDkRB15EGYwJj+oJ7YPivzRIx4rj6ie2PRH+fSZkLimDu5eCJYp51HWd77G78rBVdyLPLnICTTL1jWVkIM//5fxcNzykCFpOsXvOWYFRm4BBUiUT67T7uFJvjIOETn3eZkW+XzITCZk4uE+74vTNReII34h8xcXSYQ1ZPbhu+bKIslTjMxvnElOSB4h+MqkELhycPNUTtMUX159v2UbZA0w98eyvqMv27o1d0MwrvGhLzyOM+TGeS430XdlrKIw8syFPgthsHbaXov6IE4LuACUXhg3MS61b9/gWQzPgiOgz29JBBvmIXvvvbchauwHe7/99qODDz7YuPBrswhpUl0TEN9g6jHtYBMRhjERcQh2jh9sl8SLNGFAHN6/P70zZw7Ng1eSwYPNbSbYAMg1MHvFCnppxgw6DGUpZ6AyrTwgis44IpfcUJmwiMEz2nDGBMHaCpsBm+1W8aAkrMJ9Gr7zpAI22KYxsY2ttP1igo0TLh0N9nJrj41JhzkBE64lHdMm2GEPHzQod7B2zD5q6+vpqfffp2+gDfBzkJHNL8g3Y+2mTfTO7NnUY++9s3myHerf336b6jdsoOOwididgQOcf2n7Lg4WiWyWmVRK4sDESLrm47BFWAb2d0TAIVPenS0ngzxZQnhMnBEPd8Ict4yLJw5MLq2NMtvrmToh3S/Bzps3eMqlQkHoTd6lfR3fk7aDbDPO7YBlaolyRNJ50sjhWnvuyB2lHUxcomnSKu2FZf2VAzuTeS53tvmWNvNyAJQDmWh/OSdFcplbV1ZmYBNx5kx4kB+WEdcjPqWT6wnCYzt2txzlhIXJL5Nx6WUGeRS+yCO5+zRjsk5Jgi37QHkSJRMQToOPWAmZ5cQvSTPni/slWVddQsbvhFYiZZz8rHDBmefeTMgvuibDlATWIfp5aZJpCBFy930fIXXzFdJ6JsUfSmsoLWkIZYgAu1rVuHdCE4q48OPylSTvJLjhloNUp6kL8rc7QWXY8YDrrTwHwfRlW62CxIYR7VXhjeMybCbGGFO4naG/sKfQGhLNk3fuY9EfWRMQ844g2FH+Nm0y5Nwop3jviyTY5Zy0lMtEhP1iH3bYYdTJuocbN26ckmtfJ+wQ7hw3evK+hL0OLyIScNE3WNhgozJGZNM9dMX5IF4QbMAQbOtj+5Nly7zl+7tXX6Vv3ncfffeRR3KX2m0jyOmIfR2y73cjPxzvetsYI7tznxztb9Zgw+Z6I96DBttqluH2cLvAoUizpK06I5OhNc6hPw+8+WYw3yuEtht4fsqUnLBwuuRJv/89nfynP5nj3BNlwORByiSw9J/nglH8Tlz6TjAFCKUrJ+405hoxceWZKHhMGYKeSEJxs7be50IytJzpu+ZLh0/WSW3GV2+cOue+Jz0SeM1pfGWSMh9R3fCUT0E2yTIPMl/u9UI+8p3Q+77rvmuhuhhTdjmeIJwwE9uTTy5xaXXz6pNfSLZp4gx9j0tDKN2+tKYpizR1wA0rTfhxcSTdLyRfadKfJJe476G0C+SZi6SRUVzZOuHl9bfcXpxPxme2YfuS0L2o7cmPu79DXM/ZA+bE7TURkc+1xJMcFQGESK6rweYKzsTQs9GRbbAZsMEeZAnh5q1bafnatZENNg6hiTwYSMIpNBY5BHu//eiTJUuorr7eaL8/u8MO9PLMmXTNl79MF/397/Tk1KnRez89/HDaHjbcspH6Blz5m7WW/F1obXM2QQBYXmcTCdYKys1VrMHGc0KDbezO2TMCa9VYS2S1dr26d6dOHTrQpi1bjBZ7hz59okNm+nTtSttZDbYL40lE5svRYO+7/fb01ty59PzUqcbP9sihQxuetQ0ctt4SNz/3HO369a/TrjaNkz75xMgfgHb7qF69GvLNsuH8O55BckxExOaQyDMGtANWm1BlzT6MXOVhMqyd4HrLG+R4lYG1nMIzi9EIcx0TphuReYSVu3lPapzZE4XVTpgOkU09pCYYHw4f3/ldsYFFmohEmhEsDbJ2gzXUrAnhescmOmwSIQ5lyoj7UV6sTCJtjQ03xyWdTW90kAu7reN7/JyzvJrTX8jv3D+4GwpFeSNE3sATaY1Yg83y5AN2UO5Wi2+8iFjNTpRvKy9Td7iOOXtJON/S1Cg6jIfzJfovbvM5q1EsB867Z1UkR6MsZSM0v5Hvfd8zctIlVwlYvrjOfQmvSnAe2K+/7JsdP7qROZKUDQ/wnBeRB3NNarNlPeD67cJ3XV6T2kZZD10Fg49AcbzyI+OSYfsImqyfvjhD8fvyJcvQfd5NBz/rG3/4ebmSItMuNfacf+EVKaq7aSHTUqh2NIYsR/mQcRQadtw1Vy5Snu4KDx+mxX2t4BSRdy/u+6tyXYdmNm2KDiOT8UReRLjP4j6IzUPwsWVi+ik7ziA8c4+9T/FqHJu44Z40EYGGnPs5a7ZXTijBbkq4hFpeF+TZ2FtzwxYdr+snm13MMXp260Yd2rc3ttk4+nve8uW5JiKWcJjweUAWg9MIu9Fx/vz55hqIIbBT//700Omn06otW2jb7t3pz2+9Re8Lk4n/zp1L2/Mx4wENXt7R5pIg8ADKLtz4UA/p1YFNFrjR+wi2/Y7TLCMNNp8WyAOiza9pnNYcAXL8ZPFi4+t6B0eD3a9HD+rcoQNttORq2549adHq1fSRJNiiU+eTM0cPHGjef3rKFLrz5Zfpxm98I4eII+/QUAMnjx9Pn65ZYyYwP/jBD+iAn/zEyPnduXMjGU8EwR4zJmdzhvEvbs0jIrtpHkjkwSK8lMeHrggXRxHJlHbX1m8ovxPVPdFpRgSYO1u2jxMdrtnZzW6UIG+2ERfpyvFuwfWFl/Lwnhh4I2LKrp6Y5Ev7a5Q9d+x8oiTe505VEEJDhoUbvsiVHdv0sQ22JOB2UGaSyWmN4hYHL0TkjQd23g/AdtcsB1lucnLERNjtJ+QBDFzWkpTxZIjNV/h0S8eLTjQ5Yhtsax8ZmQix3HGdbRwleeK+ieXJZYxrctBl/+rcjgXRNM8z6eS2YeXiMwOKzE44DVZG0W+u4648ZP8jJyRy0sFeaDgO24ZMemwfIvcQRPXYIfMZlyy7k103D5LMugTPvS/NYUIkyyWe8nroOf4t43QJutvfuR85KZLhh9LnpimOXPqelekFuH/1EWxAytUHZ99TzrPumJ2EOJIdmli4+ZHlHCrLYoi2DF9el3KRZqScb56s8zWQX/TRcuIr2lfGKjpyJrAw2bD7dHJSzuOCMEeLSLw18+A0srmHIdobN2ZNQHh8l/2OJdgZS7ANsceYJAh2RMjLhPI5AFQkw9dJys7Z/e5os3p3707tRQWBBhuINjouX57ORMSGxwR7riV2fLDKTgMGUOeOHWlgz55mQL7hmGPoS6NH06EjR0YE2yCu00zqnIv4+DwZbNq8mRZagtwfm0Bj8uua2oBgA6zB3qZrV5PfocJM5EDrqzrHREQQwDWWYPfo1Im+c+CB5vu9r72W3XjppJ8Jdv/u3emhM86gnQcMoGXLltF9r79u7r8nCPY71mzHK4s0y/Khj1z2d8ORS3XyGV98wqzCa17hLv25Zei+44SZs+Tn5jl0zXknx7whtMIC+NJdyg/nPWW5RTKKa0dSC+yrF3Hf3bLxHfTjmIcEzWicd/NMSnx5cBHTvn2HS+X1OyEZBe7lLaP76pOT96LbW6DNeg8bicujL7++74WEGZKZG4b7bCFpjUtXmrT6wopLW1Lein22kHwlyTzN+3HyCMWTVM5p0hf3fFwf5zHXoGI+Ae8fOaYePvezfF0S/tD9MkI12E0Nd7OinRnneAmxWreoivt24Zugqg2JBJGOCHZVlSHYEz/5xJzmuI69iFgTEV6+N0vCHK7FDpZgL1myxNhfz1y4MCLYkpweMnIkHbLzznTfW2/RizNm0H/nzGnIn2h8OUelA27DEZscoyOleYMkewdhDZfUOlltU/Sc1TTB5GDyJ58Yjyd92bwDs1XWAMjjrq25CGTOdtgL7cZQqcFGuWCj4wy72RME+6G33jIEu66ujmrkkjFMRCzB7t6pEx2xyy40qGdP+nT1anrnk0/oAGigBflgG+xtunQx9vM/OPxw+u7999P9b7xBFx12GE1iUg0NNsi2PJaeNX3cebB2z9X+Q1ZyiZ03d7CGTm6S5A2lrGUTnlxM3XS9iEiPC9zh4r7jRST6IBypuZDmHXLzi9QKy4M9uB5xmYrNhca3KZuJ8NI+0sP125pIsMlDtMmRNdScHquxjUwieJMjrlszluggHcRhPbREvlY5Thsml5Gpa3b5NNKI86mB3K6lRlr2FzacKD+2zUTtR5pPyLzY9NYjP7W1xs3ktBUraFivXrSN2G0fHbwgD4GQXkZYXlyuprEJMweEz/WSJ7DSFI3Llesn51VqfDmf7mZCm7+oDrMXHE4Dy0hqMe0z2UcaNICRv3Tuf6S8XA0df+dwJWGQpz3KjVK+/xyXyEuONlT06zmmNz4i51v5FHUp51mWIV93NaU+MsVkI0m5E5qAyOeddpBI9Hx5dsH3ZVlznXPThz6RV07c+iRJlU8r7ZqI8Htyk7zMA6dBpt1XNq4yzb0v8xNCKIwkyPT6NNgyr1IGUnbcJuxYaswzoMXm/tiuHEWOB7bY/pvjxHVooq03j+g6b2zn1TKY89kVM/SrbAbCGxxNO8Y4gjIW5iNsAsL1wYSBd/Gx70TjC2u77R7BckEJdlPCp011batFA44GEV529pBzeBJhgg0vIrjGnkRmLVpE9bbRGILNSyJcAXnQsYBNN5tDwLwkItgw/+D4Bdnfe9gwc3/i/PnGdV07d4nNpx1jYiNNO5gkskcAcagJuYMyh83LxtJZfE0NvQN/0kS0x6BBZrACATLdCOJmm1yEybZiNTW5vrBBfC3BhhcRxLudddUH7Dt8uNFOr9m0yfjG3nPEiJy8sg02CDYmQHtuvz19+v77Rht9wOjROZ03a7B725WH4/fck/73kUdo+qJF9MqMGeY/Y+GaNcaV4CCkRdqsy4kGkyX2qsEkgIkuL8sLd4jsrSNa2mePHwATK65vlsRGLuXgUUQOEvYUROMOEeEJt3kRkWXihrrn2k5zXbE292Z3uK1PEcG0HWlkRsWmGdzZ4z/nkz2jiHcMuMO1JCCaCFrTosjW3E58ebCWbvikPbiRNZYxbdxRnLzjXXbsbMsrCEVU79n+kCdL3P65TUnCIl0bsgtLfs6WHWQ6bdYsOuiyy2iF8M8+vFcvevuMM6izHVzYjCZnoOQyxnVrMhOVK5c5E2Q2jeE0sHcWfoYHSzZPst5+IrBdNvcFDmnJOTyIySiTf7df5UkkTwAkYXUJto07Ih08qQOsh4JI/tLjkdDoe01RJOHjOLmspRtMflaeLCcnCzIvsi74SK8kn5IUyvS5pJDv2edNm5Oea2Rcsu65/bp9NzI9k8/HaU1lfeVw+ZqbP3lfhiEJNudTaCvZXCuaREsPS3HElMuYXcO6ExuZDhm3/C6fceG75k4YQuHFEfg4Mu8+78qe26SvvrDsrJmckQlIL2yqpXtPobTJoP9mUxPbvoy5BvoG7I8S4RtyLMYc89vGQevXUwZjJXuuQhwY1xHGhg2UwZjL5n58cjObweK+NBFBvy5NRMpMsNVEpKngagV8DTzUgfqIuceTSC8QQmGbPcMSZKArKpLsLD1hoTEMsyc6zl6yJF+D7eRj5/79DdnEUeJTOK6QdkRel5/Qcqvnundp1rkGW2VgT+tmkFcHQisH+D/IbmSMTESs+zxosHFfbnTcvm9f2t+axrz84Yd5Helaa/PeHSY5OAkSmxtxUA200TYPP3vkEfrzG2/QSkvGmWDjnUMPPdR8v/jRR6k+k6EB3bvT6G23NdfegRY7SZ6+yU3ckre8b6/lmWH4wuEByLes58ble9aNL7Q8GAg/U4JlSblkaEwemHRJEuVuJIwJQy5F+pYj4/KTaKIRakuuBxbZVurr6eWJE3PIdXVVFX28ahXdNGFCbLnGyTNO9lG+Q2G73339RZr6XOwpmHHxW3Imww/WTZa9W3a+fslXtqH30shC9Dd5cN/1XZfXPPHleT2Jez9NOgtJa1z+08Yb955sI0nvpA2zGHmH8luIbJLeT8pPkrxj2k7eCbyuiYY0y6gLHPDivhcKM+ZdeZaCL66cPt49QVJNRFoh4rQR7qydf6OCMAnmZVl7X/rCZhMRvgaSDEArjUNheMk7IpfSZAKorzcE+8MFC+jdTz6JCOdOIHhSK2HTAg3t+KFD6aWZM+mfH3xAI/r2zRJ5Rlzj9JEl1iLJ++wzlwdw1srKhsKbkWprjSkGMB4nhrJWyGqCjAaONRHi+rbsC5tNRNgG29Fgw44dphyHjBpl/Fu/PHUq/fBLX8rJozQRQfxMsCdZe+oJH31E1z/xhPFwwpOZ3l27RjI95phj6KmnnqKJ1jwER7Vv27UrTVm0yJiJfHncuDAh4o6EZQiZ8NI9m+GwdoE398n70hyHOy0bTrQxVprzsHabtY6uVxMOA1o7XjmxWtLIh7Q0I+H6wdp2aBtY286b5QKbHKONfMIvq9FiIG5+hzdfcvh4TmxcjMwDpCcV6QebtTe8mQ/3oUVBHllbb7W1LI8czTuWPvm6e+gM4uG0s/9v1mzbtu7zcx2ZPeA7tw3ApmeJdbN58s470/UHHUQvzZtHpz79NN04YQJ9c7fdaBjqPpsYSd/W0p8sb5DF6oTHVC3HKwunGxom9sLCMkEerUYwMmkC5NI7lwuHz/KQ5kluGuQqi3yf0+9uIHVNqvg5scnRlBNrsKV3HmlSJMtP9tmy7+a4bP8alS1rVp0VzGh1gzdpyUN7fGMDp4XrPH/ndIm2EKWX//M9vibMc6K2JsuI+znui+XEQHhKyVlZcFc1ZfpkeriMfPlh8ERT/I7MCOWqALcJW17ZaOyqGadfyJBXT3Ji43Bkvvi6a5LEYUmZyjKLm1z4ykSWrzP+R8+5dYGvJWmwQ9fkqYa8um3vc/2LVgyliQi02OyggE1EuP/cvLlhdcrmw2xItI4HTMz2euQhDH0Ml5GNgz+yDMwYhPTYe6bO2ZVPA97czuMCvuO+NLWzY0w5oSYiTYmABjmnk3WX1mK010aDbc0bYAvcBaSutpb6OQTbkF62OeIlFMAu9bB7KTxj3O0R0RNvv23+w/7YEHdhMynf33eHHQzBvvrpp+l3r7xC//3JT7ImKrazyLGD83kOAXhmyd4VJHlGnGz+YImbGYQkObPhbKyro6l2YyZMRMy7dinKNHyWAduT2g6YD5v51BLsyE0fCHZNDY2y2vAR225ryuqgXXYxv1+dMYO2bt1KHcSMnjc5dsfpUCDY9qh1pGvL1q00wZ4IuX7LFpppj7jHZkqW7fjx4+nio46i655+2vweN3gwbdejB9339tv0/LRpdPmXv5yVqSS3klzzwCKX4IUNKy/T42TKp198kS498EDqyORXmIi4XkQiN3W2DGYuXUrzli2jQ4YPz5IFmwZDPq0ZSUR82TsF22Bz3baHBJiO2NrxchgmXj5cgE04mNyzLbB1+8QmIuY72wMzeWLSwrvSbacckQQrQ+6sTXwwNbFkM3LRhvitn3R2UxiZfUBOdje7Ccu2DQO8a+20eZISDSa2zIx9NxN87vTlwMrth8mAPDyG08Xth5+FPDZvjgj29t27U99OneirO+1Ef/jgA/r3/Pn00xdfpL8ed1xDn8P1gAkgT76k2Y0cfG2dicxy2L4e77BNpZWBIaY8keCJEZManuzzs5Iw20Eyqke2j4xcDPIkxDWrkNe43NmzAU9OxOSH+5moDqDM8F16MrH9hbnHsrGTLQ4jx+MLe9ux7iyjOs0mB2zCwMoPm9aIeHB/xwTQNVPwkV93wivHFK6XcnLOz3M/LMahqHxcLafcPCZJN5NzvMeKHCaMkjxKYi7GkpxnfSYZkhhLIs3mYHITrDwcicvN3Z/Cyiqe9LLpg01j5DWJ35cuSWW7lHmQY7tvYiCJuTtJkvVelrFrduOOwzJcH5kP3ZMTGmkeZb0nRUoaOfm1K7SmDq9bl+3z2AUq3sPKLbtf3Zwl2NHEHe/D3ANlgkPgRP9m2hSAvhcyx2+EifEU5iHWnJLbU5UwETFhcl/M4fCkGP0yTFWk0kgeNMP5KRPURKSp4DYKV2Pt0074GptznbXVPa3HC1zv36OHucbu6oz9NTdQ11yC7S3ttWHW3d5blgiOsRrYEME/+4AD6MQ99zQb9bAU/fv//Cf7vG/ZyaO59i1vb9y0iT7FaYr8TsxSlfx8MHu2OT2xf9euNKR792z8snMS33lSg7yzBnux1di7Guw9d9yR7v3e9+ie733PvL/7kCGGFGMDKWvMOb/sFtFosK1JCbTe2HiJlYG3Zs2KihkbSSMNdlT0VfSzL32JHvn2t+n4cePojM98ho7ZbTeztP/WnDk0a+nSHDnMWbqUFrCsYmTjfn56//10/Suv0L3vvhtc/pbkvb62lr546630xb/8hTZv2UJH/ulPdNQDD9BbcOnoaNBj4w4sC+btAg99fHFx51lXR39491066uGH6S1MtHxhJoUPuGGL8PM+vDQpNpIa94Q8qXHf9S1l+lYgfFpCXxnLdLqyqa2lJbZO98OEz2qAbjr4YKrBKaEzZ9ILqL9xZcTp8KXZI4tY2Ybqhqvd9NXDUHqcsPJMOv5/e18Brld1dD1XcuPursSdGAka3ClSpNDi0CI1oFDaYm2RAm0ptBRanOKFQtAECZCEJCTEjXiIu9uV/1lzZ+3Mu+95b8L3k0DLmec5yXuPbt9rz14z48sqodwy/GITsPn8ZMtTljbPMS0jHQntvdx+klTfceCkGPR+mYPPJJV9wjhdJh3ZyjTbt/x84P/O1q53l35/j59P4utxusprD0n3JTwTB1VLTG+cv6T8xnMkF9xxenZXv0nf8uey/c7WtnZz0C1sUObQXoXuUt2upURKsHC//z/+HR0Z7+Uulnt/xjeje0Lf9eNF/A3kay9KCrD3tUQAORgC+dC55R3Ru6jBrkWQlpMTNNiUqqZNJbCMtyU92CbAptake/PmIV05CfcjcuRTF10kD513nt7/z5EjQyTFxIE5Ghjh6eS2IUPUqJLnL3nkEWl9001y0sMPy0xoebOAMx+lCcf4OXP0s73NwLHMoiLOux0sLwTmAUDWiI7QYAOk2zNnDxok3Vq00Hfm5uXJwabFfn/atIyBfYMBbBqcIh2Bh71woYx1AJuiANtr3ETkxG7d5JkLLpDWdepIwxo15ND99tPzL4wbF8oQae1/yy0y6C9/0UA5WSeVBAAF7TPktRkzMtKfwa1zQA1AHhr0d+fPlyuHDJEvzBD02cmTy34ngWNXhjeXbcBzg2XYaszyO2PALiyUh8aMkSvffVc+WLRIjnr+eXlx5syy6XGAyQ/c/N6///1vOfWll+SZ6dN1xyErqI7TlWXiCEF0PIUlPvz9secVD9Q9kPPl5b/DZ0gRweILABvt0dp71/r15dIePfT8z999Vwptogncca/tico+I41xWl06sk6wfD/PxYsbfpMLFdaTP7iTEqWRC51svM+sbY1gwU/oHjR4LzVxXv0iyk/qcbklvN/XfSibbAvApAVEDADjfpx0LQKLmneCjHiRlMVdY9LCNuN3eQud+H++K2msyjaGJY1VCWNWmfLfgwVhMI5MajP+WrSwKnehlATC47Kw8s+6MCtvgcG51s+5FH++vMVLljZcpoxsx1G10/TQwV1IMzIPu4rbbWeR97v/+VsPGqrzeXePN4IPu1jc8eT//nnea38/M3WqXDBypExfuzZ53uG4820E2Nu3b5df/vKX0qdPHznwwAPlkUceyXrvtGnT5IwzzpAePXrIaaedJlOmTMm4PmTIEA3djutXXHGFrDE6AAQA4+6775YBAwZIv3795K677greNyBz5syRCy+8UHr37q1GaA8++GDG9T2SJCCd5EGkvCMBcHdv3Vrf17lFiwAeG8QAO6aI0JsILfq5RZmbK63BXXYCba2m2bZVsBUU3NxwmyU3V47r3l1a16sna7dskX+NHbtnnbiwUG79z3/kt2+9JYfff7+CuOKdO5XfDHl7xgw547HHMifmGGS5yWrW4sX6XBdwm7mgYF6dax5aG/NaPVukoE5nmMtB0CZqYGHCfPo6ysuTgQZ4J9Hw0AYwGjlWA6CxciXAHjp1qsyPQs9DM10jBtjxYio3V77bq5f+fI4Au7hY87tm82ZZunGjvAcwGWvJvKbBgZ2iHTtkuWnp3587V9bD2DJJm+DKdo4zmH3S6gfy0rRpUuSAaAbgJCDxINAPmPZ3xoDKAdcGzTIDMr2FuAEe25RYXF1ttJp2NWvKtqIiuejNN2UB+rkHZva9MOA7ismmjRvl3nvvlXfmz5cLhw6V0199tdTFnXP/l5E2TjCcVDg50HUUOYrRQev78AypLT5PfqKJwR3K09Fi/DtDOZr1PAF2Q6M7af/Ny5NfDxwodSpVUrd9r86YkQmg/UQWlX/Gd5l2ly/9ruU91JWfiF0dZHiQsd2cMFk6DzRxOYYyYnn5e1k3vr48QPZ0omgS14NlyQhwzI87X6beXbl4AJDRTniPKxv/now6Tuh/MRhP1OB7AOgB5u4WHM49ZUh3wgIvLMDitEX1mfFcDMrjsSkCt2FhlQCM/c5QuM7vsQ1x8eMBF9PGtHqwFuc5erfvg3GZxDtVGWlOynO2BQGxhF/YlbcL5p/LtnDJolhJrAfmNQa3cf9AeYIWAroGaBkbN0rJhg2l/8MxAM7b/zxXQnoHr9vz4bxdi8/5v/V/9kV8F/MVDlzD//4832GeR37z8cfy3IIF0v+NN+SOiRN17gvjP/vetxVgA+gCKD/++ONy0003yf333y9vvfVWmfu2bNkil156qQJxaKB69eoll112mZ6HTJo0SW688Ua58sor5bnnnpMNGzbIDTfcEJ5/9NFHFYDj/ffdd5+89tpreg6ydetWfXfDhg3lxRdf1HQgPc8888yXzk+i15BytNOJ90T379e0qcz+5z/lmeuvD/dDY62BZUxCmHQeBNQJHK9WxsGmQINd5ruklbh0gAP+Iwus8tSYMbtekG3VbhqIofDEISIL1q6V4x58UKYsWSKbtm+XSvn5UiEvT2auWCFzAUr3YOAgeIWf31B2MThOWNhUqFCh1AMLFmoGsEGzKeN9xNUHDRQXEjCXlKgmkBEfwcFmffeC5htg1HjtsfY61/sX9kLtQ06OnNKjh5YHvLXMANgtKSmNJmnyGhaUSVueCeW1asMGdasI2VlcLG/NnJm57ZtwzAE1JZIqFSrI8s2b5c+jRsnD48YFTWjWLfB4cM+mTUqYWMtoU6JJ7U2ARBE5pkULmXDOOXJw06ayvahIbgJlKUmrnvD+V6dNk23btkm9ypWlUl6eDF20SF6F28dIO5eo6aFmt7wjQbtbRhO+O62b3yWI3+0nZPvWCttpqA8KmeuztREIybTYfxwzJvuOQ5JGK9bK+sVutEjLyF82oOdBRpb24BduYVGdpK2ONcEJ9JYyoMV/K8vOQuJ5lzavQd+jdlxeuexOK5qkJS1P25swBpfRMFvZZ+xi7InnGHd/med2ozXlO7NpuxkAqFxvLtkWGtk0sEltvJzFSrn3JewYZPXAlG23wWuhYyC+B/VYLm0kaQ4uTxPO9uz+94u0EL3XL1aTNMrRorWEC1yvPHELnTLuWqN7uLgJ93klgF/48Ft2fd2GDbLIuNuFJSVy6+TJ8v2PP5Z1ZiujffbLKkr/VwA2wPELL7ygwLhLly5y5JFHysUXXyxPP/10mXvhdaFixYpy3XXXSdu2bfWZqlWrBjD+1FNPybHHHiunnHKKdOzYUYH78OHDZZF5anjiiSfk6quvVoAOLfY111wTvjN27FhZv3693HLLLdKmTRs55JBD5Pzzz1cQ/qUkCTD7a7vjXfu/o+daNGgglUD4J42DUQxjF30J/OsMXrJpU2vaswDmbQxIZuVuO+B6eMeOeuv0Zcuyu9RzA/y0xYs1CAvANALDzF61Su7/4AN9R88mTaS/aX4RzCZx0IoGvAU06GIExz3YAeD5+pZnAuz6oIfQr3TCsy0JsEltEQnaa08RwXFyz57SrkGDAGqbuh0GuOjLWOz4tuLqGEC8X8uWeooBaEI0SezQTJ+ugW+yDqauDpaZVpPyKt0NxtvLnHABsN23IAc0ayZnde6sv3/57rty1Vtvyd+xgHDfQuCePvfeKw9A655UZwmRtrJu7yeBKDf4j7IyObJFC/WYc8eBB+rfz86YIZ/agiTp+/54ZuJEfeay7t3lJ/DWIiI3jhihXHlM9KugKUnYxo1d0wUebpzmJPCVtDuTxEmMJ94k0O61azt3yvatW2W9tUnQjMJOjvkEv7x3b6mYlydjly2Tkdj9ifpWme3qbHmKQXjsEisClEmgO1j/M28eXGejVGQDUOWczwDqCeXvvxXzP8v8TqKIRL9Jp0nacSuTlyztMisALw8sxeC1vPGTZR+DKZ+mBPCaAcD8cz4fSSAzGmPKgOy4HJKu+fEpqb6zLGRoJOcXaJ5XrPc7sJlIb4q/E6U1YzzIBrLjeyDx+Ma+kbSwiN+bRAXx704C7fFiJKLMZZRRtAuYAXRj4JtE6doZ8afjXUW/U5i0q+DTG42TGTYw7t1TbNe1WZUq8te+faVCbq78e9Ei6fzqq3LnlCmyhtGVv41eRGbMmKEaMWijKfCwQHoGXMRRJk6cqNeoMcT/oHNMmDBBTj31VL1+ySWXhPsbN24sTZo00fMFBQWydOlS6du3b8Z3Fi9erBENO3XqJA888IDe52WTrYz2WPaEX03AB2HF29/qgSAGYbSOp/BeAMSaNXd5EQHVAZMq6CFmAa8N1Vvv2/dgiY2ywaKia4sWpeWMbznXY6Hzku5imoY2xt/GpL5q06ZgWBUOdgCbRKm9PqhNG2lcvbo8MW6c/AtgDFrfpk2VN/rx/Pny/qxZcsmgQWHg0m/GnFMY/FnAHXhMyKC/0II8DjSD9xmABg/788WLZZr50Ub4cr3PXAqFwcrKo4UB7OXr12t49kq5ucFFX0F+vlRk3rFQqVxZ/nXZZXLQ7bfL9sJCObNvX7l36NBd/GvUjR8MfR3jnNVRp8aNZcTcuTIdAwdArwtEs2LTJhk9f74c0LatvDppkuzYvl06NWggXeFNxYELlB3dL0IDvWXnTuVho+zgMSZYW9MK2ybfObZ4uaZ/f1myaZNc3bevaogfmzRJ/XVDnp86Va444IDS7+TmylMffyyTly2Tny9bJmd166ac9uCyjHUYB5rBuxhoBtbibF94hBMYA6Igfdu2SeGWLTIaxpYA/uZSslfDhnJ2x47yzIwZcv+4cfIYFmv00GCUFvXoYd/9YsMGed8MVs/q1Eka5ufLI9OmyZz16+XP48apv/effPCB/GL//eXmQYNCHam2xrakC3fsKB1QWW+0ZUCeYfVu0cf024w0SZd/SBvAMNIGTY/llx4q1EMC2p556lB6Adqbub7SMqR3Gbx382ZZYTscCABVC4u6aCGHNn5uly7yz0mT5C9jx8ogBI5iX8U9BD424XIhGDwDcSxAGaAu0M9wjl5bbDzROmY+CfIZfc27dYNw+9Z52tB8YvvavIiEgD305uLzhfJzrh3D4ppjj5UxgyTRI0h4FlvL2okLSu+lFxEGGbJocVo31lfoaUbv5bt8G0ddsS/h/RyXcM7KIyMvKD+0B/PCwDFLy997xfDjL0Ey/mZfMo8KwdWlN1DEt/l+PmteU0ing5cGBhzKAO/UOuJw5/Q99ERDLTUDiNC7Dr0TeZDHPPJ9HPPiXT2jsnivMJpm83oRvIggfWgzuB9UQNQl+h/BJGkBzvsR+6rOkQTvaItwK8e2jWcZZdCDYq+BpjtKen0xl5TsU2zrwb2gd+mJdHE30x/0gOXalvYrXvdzhm8HFKtj34f1e6wH+7ZSLJgmznsQpN/KH5QQTS/K06gb+h666atYMTOSY671PbYjCzSjY2Fc7paOHBcMRqkirEu2cwY1YjAoeqBiICvL/xSjjHarU0fO79BB2tesKVePHSvToDCdNEnumjpVfnHUUXLCd78r3zoN9sqVK6V27doZwLZevXrKy14XaeBwbwMDd5S6devKMgMgAMrZruNZiL+O70BwvX79+tK/f/9wDVvIzz//vGq6v7TsjiKyO612Ni23F/KwnQY7UEQ8yPQ0kYg6AYAN6W6RGhOpFh54mza7csWK0tyC3Ch9wW9JxtqLoiI1moMcsd9+cjgiIqIPW6eGmz24gIN8MHu2erGIn/cHoiIiuiIEbu00imN5HHenmca9NHSMNdgZHGxXL3WqV5eqRsNRg8GSkl0GjgDX7rt4f88WLeRfl18u3xswQK47+ugQ9VJd9LkyTBR7TycLOKMAGxpsa7s1LB3/Gj9enhwzRr77+ONy7rPPyv733SfvwRtMpLGgBntQixZycMuWsqOoSG59990MjUaGprK4WOba4uWQFi3kkRNOkJ6NGkn/pk1l0qWXyviLL1Yu+ejFi2U+wLu9x2v0Hx4/PlPjm0AxKKPBjTW7SRSFnTvVBeKGHTukWoUK0g0eYayOLu3eXb89ZM4c9UyTNX+FhUqxwTQHG43WNWtK9YIC+d0BB+jzt44ZI9d++KH+vvezz2T26tVlKBTPT58uNR96SP4Go88kDVqsafbbnAkanQwQE9MSTAuXwSuOnsH54EEENCSMo7TBoAusvDz5oSkwUEYrwJNM0G7ifJLRKTXlGdrgWHsV+ymPNcA+b5z0PdWECw5fLjFvOr4/pnd4rVy07Zz0rQz+f8TtLsPZTspjnH+v3YtsDTLS4jX6CW09MZBGkkY0y31h3PT90EV9zTDALGeHoIwBa8IOSpL2O0kLWUZjm01TnHTd11s8PiT1I9f2yvVO4T1kJBm3Jo1DcZ4Sdrao3S7jJYgA3XGvE8s+3knKptFO2t3ItivlxpMMZUds2MvfZg+RYQcRR9JNMH4U3p/FoNEbR8bvWL1pkwweNkxO/+gjWY1FgKOcIHLyxFWrMgweeUyx+bErbKxyc2Vgo0Yy+uij5ZH+/aV7rVrq1veZBKcD3wqADe5zrDXm3zuM57q7e3kfQHG267jm313ed6A5v/7662Xz5s3K8S5PsF2fcZSUSFFxcenB3/gf9+J/3MNz/np84H4eOTmlR25u6d/43456joYA/9jFeXm77vfP8m/3LIxBoQE/deDA0nN4Nj9/1//+N/7nkZsrbW2hMmvFil3pcvkBF2rFhg1y73vvyUfWuA/v2FEOseiInvsN7jKiG67eskU+W7Yse/pzc2WugcYG1apJQZUqUlShQmmaXJkX+7Lz5ZmTI3WtvBaY1q9ejRohX8XIB8vZDpRnc1uIgfu9fONGWWWRGaGxzignO47r3VsevugiqVGtmmqL6V7R36ttB9+Iyzs/XzqYP25QcJCe2TaAXHPYYfr/o2PGyK/eeCMDdL8+c6ZMWb5cznz6aZm0cqUU5ubKEotUCdrAb486Sn//a9IkmbBy5a48Ir+W7p05OTLXjIJb169fWrZIU0GBtG7YUDo0aSIHGs/8BVBVrC0scgvhv44fL5tR3nYNB6b1UK6uDeH/xydMkH/AgJLX+IyvfyhXRGSE0UP6Nm4sOZUqSVHFipq2Pi1a6GJrEwxnFyzIqAuUQ6H73iem7cBiGs8WVaokZ3XvLie1a6euH8FVxxYj/r/hk092ta+8PNmRkyO3fvKJavJvGD1apm/cKOvR1uP+4vNtB/qD9gvXTsNvjglFRUov0t+FhaW/edi9GedwQEFg7bF+tWpSjDEAR8WKerCMOjVrpkGZ8M2nZ8wo02ZfnjFDWjz0kNzy6acZefAHypJlGs67Osrob37884dp8Xye+VvLIxoDWUahrHyZWXnxCGXmyy6pzHDOxqhQPy7tod58Hfn3RGnwdch7ktLLug3vKSzMTBf/RvrLuVbmPn8k3evu07KPzmX8TkpbdE/Gc9E9u30fjK8T0pd4b8L3whG/J+l9uzkK+Z74W1+mnON38UhIr9qusO3bfYV2PiNf/vk4LXG+k75pv/XdPJ+ULl5PSIv2KbbdaGyO58hCXvPn8/OlEGOMfybhwDiPUsH/l3/6qXyyerW8sXSpHPr++zJry5bS9+TlyYnDh8sBw4bJVZ99Jts5b9oYNtkUDFBMFVeurOOfVK0qZ3TsKB+feKK8OHiw7OcUkd8qigg41THA5d+Vovjx2e7lfdmuV65cOQNM4z7/HVynoIH94he/kA8++EC9mUCzXZ7MAm/4y4jzalKuQJtpBnnlSY4FOIFsqVdPpjB0uHesjvKJyhICvjsOyFT5clKnSxeRmTNlFLTQHTrsuoCFjGlgr732Wnn//ff1d7NmzaTkrLNkVU6OdHzhBaUGaZ2cdZbMzs+Xnm+/LR999JE8V1goBX36ZP3uiPfe0/8btGol0086adcFo6GUEQNULIeSaIejuGNHmWoadDEvI2XyCk704sXyr7lz5Tt33qm8f0iFmjVlarRgiKXhfvup4WBJixZl7p3Zu3fiM3n43n33KV3jkzZtZKkB2IHXXCMHbtokH3/8sQJ97MZcfvnlcuutt8q7q1fLjLFjZdiUKTKruFgNdKcZDadCz55S5bLL5Ih582TYsGFy95Ilcv33v6/XYL/wztChapcA+tS2wkLlNm/6/vdlOrd9nQzauVM+vP12eXrRIjnW2s50Zwi8YvNmub9SJTn+mGNkd7J27Vq5/Je/1F2PqmefLd1NE51N3jbtcrujj5YZ5i6ScuiKFWpj8ciGDdLhxBP13Lvvvqteg7p27ar2GNg5GPnEE3oN5z4fODA8f/UJJ8iECy9UqtSvf/1rNXiGtvfZDh2kp/G0MSYg/DgEtJmDX3lFKWSHHnqo3HHHHZKfUF7/Z4HmCX0JxsiRQXKGYHfBxrEqLVvKtMGDs956VHGxjLv9dnlw1izJO/JILQPu6P3z44/1/z9+9pkcevPNux33/n9leuQBScUWo1+J2A5bVrG2+7UKtYqevuc1jXsqXzKIxvQksEENZJJ4pRVsTihIJz2vmJHtXhM3RwdKA/qbKT/KCK4lzHkZ72C5Ya5Neg+12V+xTCONwtM+95Ugr3vStw8/fNdvc2qwN+Xll1+W17/4QsdQsA7mLF8uh3zwgdxzzz3qCW60OaN4ZPZsGV+tmtrPtWzZUrHclBdf1GtVLrxQZtgOuRfsz9+8l9P/jQXY8NqBiRbAlhMU6BwAzTUskIq/d1Xk/gx/c5LIdh2TBa7x3QB7/A3hZIJofT/96U9lxIgR8tBDDym/e3fSvn17qeIGneJlyyQHgwHOgSuoZqsAAIcCSURBVLdEl1AQ0DWQVm6TkMNGTpdxKgPXEpykpK0j8reKiqSzm9RbFxdL19WrJadhQ8kBOMc2FN5F/igHbtPUTK9bVzotXiy5WFlD24ktZUZzpMQ8NNte6wtDAvCwJ0+WLtOnS079+pKD+qpaVYrhkWHHDlk4bZo+9tODD5YrDj5YGgMcl5TICY0bK8Du3rixdBs+XPN1bPXqgtA1s4cNk87mGk+/i7LcuVOK16xRKkKRgcaOoFIMGaLfzW3XTvIOOWSXG6z16wPXN7dx41KXW5gANm6Uzn6CANBav166zJ8vuY0alfLOuKVIqkhhoXSuXFlGish/XnpJF2VcmNXPzZUu0Kpyi88iAOrWnlFdBlatqs8ConWBqz/TEMxo3146Tp4sueRRYrGEtBUWqgtDBK0Bx32hgddalSvLgLFj5b7+/aXvyJGqWfj1gQfKMdu3y60A6zNmyELzDw5XljPuuUd22KKjy8qV0umtt+SHjRrJMBEZNXSodOzTR3IrVZLv3HOPLFq7Vj408AppVbOmdHv77V1bj5hgre1dXlgod+XklC6Qnn5adzLWGJ/9iNatZdi8efLuI4/INeRcgoNXs2apeye0beTX2hO0zfTD/vxtt8l3Tz+9lFtHN4sW+VK3eTdtkkkGAk9ctUo6Pv98aT/TTlcsl+XlCaDziOHDpdlzz8mD48bJzbYYwyJv6Z13Kt1loYWy79y5s7R/7TXJM94kvjH59NP1XXlTpshHnTrJY1OmyLO33SZnnXGGcg6vevxxffbs9u3ltXnzgn0GgPd9P/iBPHj44eo7HRN7cHEJLzN0mQlD16pVSzmNaKfgfaLOwYEFValiRdXM6zMoc2ihZ80qvR/ty8YTfQbfwA7KlCny5ogRpf2/sFC6wMuM67/Kt7Rt1qtKSuRP+fmyYMECNRSHkfDoiy5SCtSEkSOD0uHl66+Xe486aheP2tr0jvXrRRmUqFekD+MZ6ghpweIV+WE+MRaAl7ppU2k9IW/YxalcWaZXry4dFy2SPIxNjoNdjHZEagbbAJQh1auX/s9IqDhwH67TyNjG19B/4VbMAJJ+H3VAI3Bo7BB4CX0OXFIbi/U+8lWRD3wTXFz8jzqqUmUXp9aDN0uPjrUW4a5k7dpdbdm5T0U9Z+QJ7Rt1xHvpw9+5WdVvkfrj5pISKGuQHlxD+ixynjf01f6GcQ1axsJCmVa5snScP18A6YOtDuoG5ehtdzCGWdsJXG+8D9xZpgftFL/xPOdqlJ8Z4uv85SkkzJe3w2C+WY6sW3KPjUdeAjsjUp9QbjiPMgelDe9jHdn/2g7MVkbbKeqWcxnbI+re6BD6fivj0F7wPo4xzJfNCRl1wzyQW+6pnbjXxkH0yqnr1kmn1atViRHqm/3M6lzrhVRHd19wPYu6tzkocJGtX2obRL3xHT4CK34vWaJHcOfLiIwQ5g/9Ax7CjN//7tixUrG4WAYBQ5ESSRsBaLh37lTFBPnVHy9bJj8aNUpOad5cbureXfLo6czZGdFegzYGzxpIvqlrVzm7dWs5c/hwGbdmjVx2ySVS0957dJMm8tHy5Wpzd+6555ZWLTThJSW663jMjBlSYdKk0n5PexHDTpsaNpQvEM3220YRgXEhgDUKjTJu3Djp1q1bhoGjGG/ys88+C5My/h8/frye53U8S4FRIw6cB8AG59hfx2+cI0D/zW9+o+D64YcfVj/ZeyLoKGWO3FzJy88v/d+f4992LT9+BkdOTun/eDcPnCspKT0AANy5hp6DXbHiruf9u/C/P+y9mn7/3pISyXfXw728x927ny1KsNLks+E5GO/s3FkaVAbeGvr0keZVq0peUZEel/btKwe0bKnAm+cOMs8Zo+bN02cBfPQoKpLi7dvlgmeekSa//a08bfUHEKjP4rtIJ8oUB8rS55VlbuXQINJsNUS6+A5f5liVWhmT5oGIjl5gEBfKKypH/b+oSK47/HB5/IIL5IeHHJJxb0bZIx+sV9SBbXdB3jAg0LZePckvLpYu9erJQ6efLtceeqhc0KuXlmvr2rWVtoCw7JRbhg4tjZIpIk2qVdNvHN6ypRo8Ll6/XiYvWiSbN21ScA2p6zREbWvXDukPabO/G1asKIe1bq33/RveOHbs0PdBftm/vxo4fbhggSxauVLyUI++LnfulB1bt8r7c+bI4tWrZYyBXchb8+bJpMWLdz2DQbuwUHLxe8cOGTN/vizeuFH514MaNNCy8G2yd/360qFOHdXAP/bpp/IHizTayXYlbh8xQj4zA8m2tWqpMaB/Hu8rwGH1cV3v3tomhi1YIOMXLZLZy5bJKGhYcnLkt337yrsnnSSPDx4sjx52mN73r5kz5dcff6wLppAH+615SDp4r5VNKCcsDFn2OL99u96bi//td3h2+3ZZRSoQ6tmPJX4cKSmROgUF8tvBg6V7gwbqvm/B+vVy03vvqTtIeE5BPiCPTZ4sS9auzUjnK5MnS92//lXOfO01DRoVvp/tYF583qwtaduP84wD72Qe7dDyRN5xL8uEz1obCe9Ge7G/2W7Cs1E7zNu2bdf38JvfsyOkIek9CYf/Husl412uvDSNRUVax1rPTL8doe79eOLqMWPc8P0z6T7XlvB/KHtXVhnviMav0AZdOw7l4NPpj4Q0ZLzXjScZf/vz0ZEbtyOmC/Xiyl3TxvpPqKPQjhLeU6b9JqQjI90lJZLry51/u/yG6za+a/lH7Z7tgc9lPBOVaW40N+e6I5xLKlMeKAO2S+aZ/cC34a1b9UAMhlPef1+OGT5cvvfRR2p/k4Nr27ZJ7tat8sSMGdL6lVfk2GHDZC0cAWzaJJePHCnzNm+WPyK+xfDhsmXTpl39jIf7Gy5752zcqA4ELmvdWpoUFMjbBx4opzdtquB5zY4dOnY91q+fjDviCDmtadNSQ1qjcUGaV6+uXspQBpg/4zaJ8f1bqcEGPQNu9W6++Wb5/e9/r4aKoGbcfvvtQctcHYVXqZIcc8wxumXwu9/9Ts466yx59tlnlZcN13yQs88+W8477zzd0gVAx33Yvm1ubuBwHVvGjQy84F0ILAMBsIZvbWy3Y+uB2m1MWHWyUAcSJTJMxLZ08AqSEGREr9N7CM4nuXKLov/5FaQHjOAEq8aF2g9qxukTm2FaaQ3P9/vv4Hn8bRoETZNpbVRgCZybK+1sRwBGjninWgrz2LlTlq9erW7PYBTXtFq1sChS13d16sgHV1xR+j1oGnJzpVezZgr+EIYdE35n1BG0Wjt2yHmPPiovW0ChKeYxpSW2mJEnaiy8Uah5FPEGj/TOEke/VC8iTiPHvKpWwTxY0JNILNWpCaEXCbzHuwPKyVHu9Vn9+pVqJGmtz3u8YSW1O2Y5Dk8in8ybJ0Ms2EubevWCMee5oNDQ0rqwUA5s2VLmGVAGn/jtWbPUQC/H6EiNkecKFXQAO7JdO/nP9Ony2rRpQhJH42rV5HeHHCIXvv66/l3TtFJ0TYW0B+8FJSVyeteuMmzuXHlhyhQ5r3dvNVgFmIO7xUNbtpT3FyyQpyZPll9ha9EZO/159Gj57ciRsnHHDmldo4Y0sjD3dSpWlDXbt8uVw4bJ0O9+NxiVhu3ZHTvkuamlJKaTW7Uq3TGCltR2I+g1BQuO6999V349fLhyqDvWqSNDTjlFOj/+uIxaulTuRmAkEenDIEvUatFTjvOsAreV8E7y1PTpcufYsequEHJY06bSpFYtgXkwgKruBonIxe+/L3+eNEkaVqkiP+3Xb5cnHMuDejKBtgbtygWqQdtXrxLOO4K2XZzDc9BaQ4NNy3xoo9kn0Y62bVNaDgRtW3cLuNAybyP6bvwpIlcMGiRX9O8v782eLcc984z8fcIEWWrPH96ihWwtLJSPFi+W+8aNk7tBN7F83DtmjC7iXl+4UD5+8UUZfeaZ0hJjj+326BiHtCGf+Bv9wjSumid8n1p9CMpgy5YQ2Crs3tlum/ZhP4ZR++W1ctDoxeMrjbhQZmYkpeWKvkfFDHcV8az3UME2h/utDrT8TBMWvIhwHPXegKBN3by5tL5xD75PbaNpPNXDjNV30BTjuygHahTNu4e2adutzPAiwp1PvNftcNLbiZaHN2zD/fRogr8xFtuCTD1EoFzoxYbaehrXsT5oOAxNMjTY+B/1S08zKA9q9Ldv3+XZhZ5cOI6Y1wp9J9svvhlpsFULy/GUu67YkTANffDQg7aFvKAtoS+jrn1gK7RrthvnKUnTTC8YqDf0MWj5kSekD/fiN9LOXTxqyem9BemwOtR04Tfyhb/9/I13WN2q5xh8n3kxN5p6jTsJ9n+Jn4+pxbY5Sp+llt+VHccWrTc/J3InAd+GMgSKF76HuzbWJ0OazRB6GHbQbJ54delSPdpUqSK/6dxZnliwQN4znDRi9Wo5/P33pVWVKrJgyxZpULGibIQHseXL5fgPPpBLW7eWVdu3y3ebN9d7/zRrllzepo2c16qV/Nu8Oh3dqJFUN4VhldxceWLQIDl/6VJ5eM4cOa9tW6lZo4bOTU8OGiT/2LlTNu7cKVeOHy+vLlkiR7dtKzlQhKEu0QaNBRAMWT3F6NsEsCEIBgOA/YMf/ECqVasmV111lRxlRlmI7AiwDTd8uPb3v/9dg8DAw0eHDh2UykGKBlz9ASAjiAzczw0aNEhuu+228J2LLrpIVq9erYFoAJxPP/109XUNeRtb4qbFxkFp2rSpvGdbzXsse+AtRAchA2Q+RLmfLMLkwecpNvmg4XjACDd92kG9FxEP4DhoQWJXcRC/9WOdVycn3setRzNyBHhGsBi4sGtcv/4uoF1YKAvNiLBJjRpSgc/66JauXHAO9/Rr0UI+mDNHPp4zRzoDvBQXywczZsjLcLNIQ0ZLdytM7rbFFbbUYg8izJM76kcabBiGhS1Z7zLKAXT6wo6lOrdKHTDLcIcV1zu3b7klR+DvAbbxMDsaCGQ4+rYYPOKFlsmBrVrJk7YDdE63blpnz0yeHBY1jWrXLm0voOd07KgA+3UYtdnCsVO9enJ2585y24gRMm/dOhmMqKEA1biI+sRkYi4S8ffJXbrIVUOGyNQVK+Qds0FoWqOG5BUUyPe7d1eA/dC4cXJ2166qeUd+Hhs/Xn5hvs8h8zZs0APyyFFHyUVDh8r4FSvkorfekqePP15y0S+MvrFz2zZ5CREsReRMDKTkV5qLRE6E3+vVS379/vsKriEXdeum7e/ibt3kgQkTFDhCYOynVYP+Qmt95M27BxOR6wYMUID9xty5Ms12Y06E9t4tvvD973XurJPH9SNHys1jxqhLPHj0CO7buFglyHJRKhV0Iw90d4euiUmV/dMim2kaDWATbAHwTl++XIMAQRqibYN6wMkXfRf349vom0aFwfnBbdvKJb16ycOffSavwgONeY6BdxaU0yOTJ8svBgxQF5qfr14t47BTBfuJWrVk6tq1ctOoUfLY0Ufv2gLHYe66FEQa2FZAZuNYoCQQIAMgOYDN/AVXgATWKA8CCLZ/3Ms+y37GrXMDTcFnL76N9svGRw8leAzftTIK9eVAfYbyAHnDdbxPM7FrMa3vM//pCkRRJ7ag0DaGereostrWbGFOIEoQFhb39ARhAIuLJM0TvR6hDLkgsIV5cPNGf9AWAVTfwXEJ6WS5Wt9REIf7nXs/LUNGxOQYh9/xwg1p5qIOZc+xk15hmBamzQKAcCwMLv5ceXiArRQxK09NL+4jZQpA0AC71jFdK3KRZfOY5su+qWnG/VywWERCbbNGh9N32WJRyxd9lYomy1Nwb8jFEhcibo7TtkV3eNZWNc2mBNOx3/qFtkWk37vuRV4IxnGOZeXbKcvN0qn1jbTS3Sbd3+E38gqQzSjHpFThFVwkmRtLfPsD2/W7oGVLdT37+vLlMnfLFjnfgqlBafPTdu3kyUWL5PNNm/SA/G3//aV+QYGcMmKEfLp2rR6QW6dPl202Pl/22WeycNMmecnG5dOwi200Lq2jHTtkcJMmMhjKPNLQrB4r5uRIxQoV5JmBA2XymjXSaeBAyTFFkrYHLuRQnshPeXz8/3WADS32nXfeqUcsM21ipcAQCoT4bAIgjiNJAKoB5n10RwqAOY7/b8nmoi/pmr/uNJvUaie+0wPjiPKgGuwkjXd57v+ypSd6LkNTZI27eZ066lcZWuzGNBS0NDIYTAsuAMhNy1YmOTlyYOvWCrBHzpsnl8J1GihARiM4uX17LZMXjVesGuykXYGEPPuFSqzBBsDOeE9CGbVwBjAIrY6BJgDs+LmkdFC8K8GENPp3aeh6Jxp8xn/DtYNDWrdWd4BY3R/Spo2s27JFATalEbQC9u5jO3TQhdHEpUvlbetbnaEdz8mRT84/X4bNny8nIbAMwX+c7txcDZoDTfgbs2bJn4y729y+8Z1OneTuTz6RqStXytFPPy3v/+AHsnbDBrnStOPX9emj7gL/ZNSXWhUrypEtW8qzxx8vx738srwye7bcNWaMXG/1j+Pd+fNl1bZt0qByZdUgBz+oBGAGfuBy8aQOHeSl6dN1u/B7MMTNyZHbBg2ST5cvl9Hm9rCvuafMmJzId+TEBPuKevXk6Nat5e1582Se0WCOB8D27iCtHn7cs6e8OHu2fLpihTw2bZpcC3/73oVW7F7ryxze/oKayqIieWDECLnGvMlA4LJTARzBi+e4OheRXND94cgjZeKyZTLGyuWwli2lZ7160rN+ffU085dx4+SWAw+UZ63PHd6smdzcp48MevlleW72bLmiZ0/p26JFKSBwPvMzfsfuy7hVSw2rv9/bmrCtO3dlATRAvAs66xP6bza3b3w/74nSpwDVpVGBVeTmLLhM4zv8blXSN9lXmW4uvn09Oq140OByN4XPxe2B97q2kJHP2D0bFxf8jlvgJz4f5SMpmJCC6/ibrBcr2wwXl3G9e152PF76a1wsUANLv+K0c3FpCgsz7/KQvtx5L3/7QEgsI7q0tfeEd/IZ60MKgrkgIQjn37SnYTvFOR/dmffRxzUXI1ywMy4B2gAXBb4vcHHFvESKt1Ae3p8288EFpPeLDUBq4JsKBrowhF3cx6ahvqhVK+ldo4ZqjW+eMUMenD9fBtapI3/r0UPa1aghl7RuLf9asEAWb9smnWrUkGMxThcVydsHHSQXjxunQByKj/E2jh5ct658uHq1/M4W95Xz8uQYzHlcREfjO3d4qIjgHIhy7l67tuRyJ5v8fotFwPgCYaz/NgLs/ylJArHZAO4eXGdHzdh24op4xw6p5yM5AmDTGMYHX3EabO+Avkya+V4OkmbgFDTsdJxvAwqiFgJgI/rfQR5A7NyZCbCpvY61yxAHKge1aaOn4NP59alT5eh27ZSXC+nesKEMat5cATY0aQD3up3JPPu8ZPOJDYqIW5CAvgHArMADK17vp9oZHDWuU0f58nBddO6gQfJPGGZiUKChDAypjOoSwEJcr3gXtMKONpBh1IS6susYDA/r1EnuPfNM1dqDnw5/4aUNYVfgDy4cWtWtK29fdJH62sbCB+CXxh9w41cFiwibaOCWEfz3EfPnyytGu+gEDT0AeuXKclqnTqVtwHx862SGhYQF7KCG/fRu3RRgz2Q9o1wLCnQgfePcc+WoJ56QmatXy/1jxqjXFbh8ApC++YADZP6GDfJn2FJg4dC4sRrBwP3fXw4/XC4fOlRuHTVKaRxHwjtNSYncZ9qSM9q2lXzWOTS12LmilhY37NwpPznwQBkya5b8sG9fqWP5rpKfLy+dcoqc8NJLmg74Koc5KIzuVGtk2izVbKKuqCXKyZEr+vZVgA3p06iRNMFuABdWjoqBSfGHPXqoJv6hyZPlp336KF87A/A4n7vhoKaUgWXM+EzbCSkipsEOGksLcKG+z500wEIQOzLOMFE1jqShkApj3wHt7rkzzpCjnnpKqlaoID2aNFG7l2v795fvDRmiCx3sHEGLDzmrfXvp1aiRnNuhgzw5c6b8atQoeRuTIjWeAB7UqjFv0Khxkes02KSI0HBL0+aMscMCCmXIrWsX3CQ868Yz7X/UTmOb3Hwe60LRAeLnx4+X3779ttzdu7fgzTeOHy8/69RJzu/USb3E1K9YUd2GUktNn8L6LYIQv3CCUGvuNMfBIM002BxjtK2RioG0mZFjoKUBRDDtpJXgPubbtNxKHWJ5EewRwNH3M+6HxpQ7k6ZBDRpsUiUMWHIHUv00G/1C64oA1QzmVNtr7VvLyTwrKd2FdUIDWxecRsdJaKgJXH2boHKJ7Z2A0QzXM9JrFBaljjBoidE49DfagGmwAz2GbcDmKNVSIy2m1dV3QyuN59HHaZCNekK+2e9RHjTuZEAszEGk7HAn2toFg/moJhoULmhzSdHgnIvnca99P7RnGm/ajnXQdLOM3FilZUoNNZ6z/qP0F9v5KFm3rtQ41mgtOcgL5yPkCTtjO3fKW198oYqkDYWFUgtjAyibRUVSvUIFuadXL7mlc2cdM7S9FRRIo4oVtQ9xTldjbhhdFxTIqCOOCDEy3liyRKrn58vBDRvKP+bMkUfnz5dJGzbIhW3bSnUoejCPIC8oD453SDvG+xo1Qv2E3UbuQCEmhtdgo7yx62C+0oOx6l6SFGDvI8mgQMSA2Qcx8dchntKQoN3N0FySypGXJxUKCtSX86oNGzT8ebCE9sDaU0S4so0pIgSB5KB5ygLT5TViJSXSwoz/vkCH9ZbroIgQeHmXUFzpc1XpV/C5udIP/NoKFdQF3amPPipXDxokEwmw69WTA5o0kXuOOEIDvMDnd/C6QIDttcCeEuMOuPVBePMN4IkxbdwuwyDG9DitH3Y+urdoIRPmz5fLDzssAOzFyLdFDwueXag1oPhoc876PaM8WA6kYuTlqTeKK8CBNZ6t/s+olE5rS6B9oC1OUPaIGjkAXLeFC5XnrAsRLo5AE+nUSQE2KSRKx2G5kRoEjwmm1dDBiSDIAPaJXbtKxf/8J2jzAbB1C2/7dmlYq5b84qCD5MJXXpFPvviiNJw8tL9t2mhaW9eqJce0bi1vzpsnB8I+wqKmnd+9u2pTH5kyRX787rsypV07jdz43sKFqqG/qlu30ntB7QB/G+liNEGbkPu1aSOrfvMbySdv0toF+shIuCZE++RgCwBOnq09H7Z8jV96RMeO0r5uXZm1erWcsN9+pTQHKw9fzwAcp3XuLNd//LF8sWmT/G70aLm+Tx9dwIWIcC7oTPifdRhTREyrqtvlmEy5nc2IgjAwNtoKpEpenrSBNhlRNH1UUkwypIhQo0Pwbvz8CZddpoZRbCendukiVy5dqpExfzsKjjhFahYUyIlwgZWfL78+4AB59vPP5cPFi2XU4sUyEL7RDaApGGQ+cQ5tnVpZernAt5kv9jkDMWstrzDCDHYjXHwQTKAs/bOsA0ZFND60TsKmLfQLxH+OGSOzNm6Usz/+WPnz24qK5KqxY9VrwT9mz1aDqhu6dJEfdu5capRJTS61fKgvLqIZXMsoIvxmoH1wkWo8WwJljgVal8bXDnQZW2wHGgIpIniO3HG8DwAY+TJqB7n8BKX6PAAXABbGdXLQAbBpW2HUB30/6s3AZ+A9M+AIy4AcbGzZM/olF0GWPo6hWgf0CoPnkQ+8F4tG8rJRDg4kooyDzUEEsHVuMlCrabG8aRqtPwXPIHiGXHNqva0fUsmhaUF68T14njKvMfoujDFoRxxrcR/btHnmImUh8Kbp7cfPP4zaaDY4CrDXrCktI9JGUMdWFxlePdB2bH4jV15/014B+XCLk5AGgGgfBA15szlHvw2AT88lyAO/ZwD79Xnz5AznDOLgxo0lH+MKvZEUFUk1zkfmSaXEGxEiT1BekAtv/QR9+HjuzBYUyMX77ScXt2mj3m3yoTDDDhxoi7YYz6HNCcoaAJq0UIJu1iXaJK7jWZQfy9EDdF9Oe0FSgL2vJJt2ONv5pGfic9H1mE7w+/PPl/GzZ0tXRGRMojokpCUxmqDX+Ppt2uh7vLepaYPhcSBDiotloRnYKZUjW76jNCES5duXXy5/GzFCoxU+P2mShgaHdGvQQNMMjWIGiPa86aQFSYJAiwuAjf+DZKFu8O9nr75aueY9LNAKpIlFjsq6K+G3BrmA8Rr8pAVYEuUkrh/H8c7Jct+x7dsrwG6KPBLE2/tP6NxZbnjzzXC7arD5Hk6Ynr/vf9uEg0XOMe3by3/MFWPzKEQ3DB4hCByERRM1wLz+t6OOkudnzpSL4QHItbe7Dj1UXpg1S+auX6+BZe4ygHde+/bSEq7AmB5uF1Iz7NJYAd/jItGVs3olsiA4KjHn3hkEswwAPP950klKuQltjztDkYusSgUFckWvXnLzyJFyx5gx8tqcOfLh2Wer0SY50F4j+qXoIRHNYueOHTLb+t3oI46Q2hUrSm0sOri4Zr6TbDGiPq0uw9gHDKj+4fDDpValSvLE5MlycNOmcmWPHqWRYlHXNWrIuR07yqPTpskfxo6Vl9EnkmgwsQafWkSIP2d/v79kiZz90UeypbBQXXL9vndvXdyUudd/x/UFhqvPcA0X02uKi0Pkt832LDRqMMgCuIbAa8G1n30m6woL5Vdw1RrnwRs5ul2dMnQLpos87gQaiQJKLJr8OIQ2QmBOkOm/z/rzESwd/7gMtYMUACpLyNum3Q+eo+u5JNoFtfL+fFIUSAh/M32kYpD/7KIoalsmt9yPh6SUkCLB95hbujLRRN3fpJCEqI5sa6SCuDQoYHcRKoPmne9CX2LecZ0LIO4icVHCsONMh59LnF0HjRz13RwPbHGhefPvt/4Zwp7739Rm06CS8wCpLj6ttBtgOvibYxHTbWMg+tDbFtCLcihsVvy4wnbqx+JiW9xRWUTlnFMEhfGA463VcXBZyN0MKvpcOPug5ffv9YtKH70W1zgH2Hih5bEXJQXY+0rKAUeBl+XvS3ouCax5AMRGbVtRFxx5pFwAx/Do8N5YLwaikCTOG9PnqCf6t+dzcovRBheca2Ya7MWY6D2PEhpsA9hKEXE0iKCt4ODpDRRLSqRf69bSvWlT+c+UKbLMNBD1qlRRTxcZQJ/+SqFJ8atTDx7YqaMFAmg1c5Yulfr03cp0efDrdwFAw6hfX1qZD/OPfvITeWbCBPnZ8cfvsjznIMEBhWlhueG3aaVCXXhARy0Hype0FWqd+S4/aMQ0FJ4zcHhpv34a9fJsBEmhVw7jp7Vv3Fg61K8vM1euVOPEWra9q+8BSKAvY+aF/oO5rWuT/hk9egSArTx11IWBHHg9gYHcyi1blHNdMS+vdJFk2+DghV8NwIp3GQUFz1XLyZHT2rdXH9RXv/OOTIdLuJwcuXb//UvbN+5F2tAe8D23va2aD4IFb8dAwGwTv2oHHUUkhFymRg7XUf52f9/WraUvFgy0kYBGnkZHJjrRFRbKdQcdJI1r1JAbhw+XqatXy6NTpsiVSDvbe8xbJYCggaClL3hnMG03tOI/Hj1ajmnUSC7p3Flmb9yoFCBs2XZFuSIRqGdqRvlugnuCCHIsuR3vNLHBL7MZscELzK8GDgxb8lpuNkn+vH9/eXz6dHlz/nyZuGKFdGvUSIFrVzNqDcajBC62Ixa2oxkq2RYrb82dK2d88EEwUH198WKZuHatfHDccdIUGjKjYYUtexowkQ7DsY1hmmmYh7yb0Sf6Mlw9roabsZwcOaZxY/Wf+4feveWod99V12J39OqlxqO/nDBB7pgyRY5s2lT6w8iK2mvv69hN9CH8dEmJvLlokZbLZW3bShdTQoQdBNNiB9oL3gONrvci4rTJ3NGicaRqhTmuQIPrDFqD1xG2J/MGoRpstCkbJwK9wHYrtc/iN9slQSeUG2YkGUC7ecrgOKZtCP+bYaJ6UqEGmxQTGjqy/qF9dRpsBVIsU/QB82AReNB43mgu9AoTNNjUcrKNUjONc6acCeMyNdgoK1zHu5EWlCnexbHX/CjrPey35p0iaLBpdMc84EA5e4DNHQf67uZOIrx4mNFzogabhqwYgypXLtWs4x6kB7+RHmju2Sc5/iA90F5jZwtjFAE2vmfeZzRGBMqFBrgsB+uTSPMH8JMNg/lGjZSieHavXqodVvoPF0vMl/kKL6E23bCCapsZcp19FGlk3jCO+/gc0F7XrVuqhaZBOLXQ0FDDQxLeyQUI+7TtxKh/eey6cqHCPuLG9r0pKcDeV5JNE5qkmSQQi1d5MbgmEOM5A9Lcgsy4l+6xkughEM8b9MLvoLFi8uMqkADPVoZBc1dSUqrBBUVk7doMa3sMggtNu6YabKaBIJLggjxAWldbuqAJPHy//eRV4wgjIE3Q2jMveA+Aludgx+CaZRzzsA1YK0XE5TuAbG5ncwBk+VrZweCwX/v2CvLCBEGtptcwQUjrwGCJe6kpMq5tMD6xAUXBgXdn5oC0DsJ8tzeictopeiYAXeivp5xS+hwGHkwqrFcR1WLPHD5cOgE8cEDigToBh47pBgAniDUAjXwc17WrVCsokE07dkhb1BGesbaMtgAt9hAzpESQF/DDM4xYbNtY00f3bDk5cl6PHgqwAa4hP+3dW3196zOoc2hqMSBzG90bJ7oBNWikaBjDicQoK1p/9KxB13DaAEu5liH/NPYk+DFNcdgeN9sGlAl88v5g//0FMPLKt96SP376qVzas6dUcDzsHdu3y0XvvKPvf2zwYB2cFaREbUbLcts2Kd62TS4eMUI+XLlS3sTCEOGArX10hIEP3Q1a8Jlg0IbnsdXNhRrz7ydwpwULAVEIsiI6SeCgFhWp/cXpHTrI8zNmyB9Gj5bG1aurUeTN/fqp95HwvHF19R14N0EGqQc2ntwxapSC6+80bSrXde4sP/jkE6VxnP7ee/LBSSep14AA7mzLXp/1fR3fI0WEHh2oDbbymGxeEdrXqCEvwI2kjUGfnHCCrNq6VVqb68gJa9fK8wsWyDnDh8vDAwfKYGxtExDQcI7jndF/cH39tm1y4YgRsn7nTnlk/ny5om1bua1bNykwOkvQAqIsyYkG4GHAEav/wAXGeI62hWdxP4Am2zSAE/JKzxlcvJODbMBU78PYwfkG4MzGdx1T+BzAK8E16s2AmacGBG0vvmtjooJsc4mn4Jj9DmDPPOYQYCu9yrjjej9pGX78tvQF3jE52Jw/qFU27x/6LuQFaSJ3F3k37zral0lTYV2h/OnSDofRaPSb5FuTK06+N50IGMDWw1z6KbjFnBcDbHq7wXXbAQIA1rJzHGytbwsg5YMJ6TdJg2RQJ4x5UGAZVSfgBoyjeDc8eOFeLnSQLrp3BEWEdUQaqM0lALVfbN8uszdvVr/af+jcWWphhwt+pzFnsqzNS46Ov0hP1aphMR8Atimj9OCcbxQuHefwDGg3xpMGsNYAebabqnMh8m7jhF7H4p0KQNIsbdzT+cDGZe0TqEurH12UuR2lvSEpwN5Xkm1r3/8fn0sC5EnX/bMxZcMDyt1pwZPSxGvkDdq7qCWPvYjgaEoNNsO/m3Zg3ebNstE6gHqXoHgNcWz46NMOrlanTrsAtqMWZCxOCIKTdgYc6IylkS0MGpG+krQA4rm43ih8t1/kRHUVFgXUYPtdhTitjooR3DXGYpb7Ga4b4zaVkI7AZXXp/Mkhh2iAmEv798+gBgT/q6RgcPL1Vt1GN6laqZK8fMEFuoOhftF5j1nW93MAuw+MNH1eWS78Frdwc3JkYLNmGgwGBmfd6teXXyGNBITk/RGs+90Gv7D03zHvABk2CRBuJ5IDzQkvtmR37wz+iv33mQa35Xoe/PB/9JEs3rRJLnrzTTm2ZUs521wo/mbUKHlx7lx9bOD06fIjcMudRpvaTkRIe2v+fBkye7aCa8qlY8bIicZl7ExeoreP8O3W1R2BWplFJ8vLG0b7hSIpZf7dCMYzYIAC7JfMVSPk7s8+kwu7dZMG1KAl0DRUHN0CftHh5QXyu27dNIjUvw8+WA4ZOlQmrFkjz8MPLjzbJFFNCJoIMmybHuV+Czzp5OTI/f37S4F55phs5diNC39rgzBqBFWE+f1jv34Ksmdt2CDHv/uu/HXAALmgc+cMO4RA9SkpkbsmT5ZlmzdrICSA66p5eUpB+cucOfLJmjXyVP/+GgwjpN15xiAo44JNwbsBHlIigu9ne0bvIdjlAjGmbThtroqru0B1Mc582Jl0tImMwwFsupcLYNx44GFhxh0kfpv3cCeUWlMajnI8tT7LKLyB/mXvCOMo07Nzpy4468LFK8CXH4ed+znuCIR2aDQEasTD++kj29o53U1qudPdni30gutJLiDxPr7HAWy919IdFjhcnNAolW2KyhwXydEvvBU0cgFluwJ0I8hFV3CryFgQ3NUxgP3o3LnyxuLF0qlSJflu3brS2exQtE0VF8tws53qVbOmUsR00WVRZTWvHE8Z2dI08znc3SDABkDmIpSabZQn501bKHGBr1po2xXQvOK9bscqRCulj3AqlLhL5iKfarvCfGLlrt/0GGEvSAqw95VkAbXZuLKJR3zdgTIdABwYK/M9ggTnRzto4CDskDH4pHbOGw552gO3WxzQambu61Zv2iTbtm+XylWqyPuffiovmOuwBlWrqqcND4a1I9DwiJ2P3yP3rqhIju3UKRjRYPvZA1A+lxFCmHkor1zt+pUnnqjvOP+ww0KZZBiFMu8evJs2zyphV7k5jy0ZQMwB1QAkOQjE5Wvcwozr9q7gshHv89r/mPLDQZr16F1jkSJCTwYlJdKgRg15/JxzdqXNL0qMfhM0hjTO9Nva1h4ORlh7bq16w6DCQulv0TkhfeiCyegXIf3UapESYYZfdwweLPd/+qn86fDDSzXf5oUlBJihoaFp9nRApuEWy8jXowvCEfy9ml9y7R8YvG2w1gkDaXRGToGKQi8mpjHz/TLQeoqLVeP60/795br33pMXZs7Uo1aVKuor/M+IgGly2/jxcnrbttLANIn0VIE6f3jkSPnx0KHh3nt79ZJ/L1okH69aJc9YePqOWNhAG4SJnDsp1ua4bavvJafRKEChTRlFQMvMdr9CcBb2UVJr6JnA+m/Xpk3lhHbtdAFA2bRzp9w9bpzcBR/ZjgqjafCgxwKQ4DsfL14shSUl0rpqVWllngDa1K0rP+naVX49frz8ZcoU5XwHEEcfxX7McPzioYsWyfc+/FB51ZC6lSrJ7QjOVFQkk2xXROlKqEd6yaFm00BOnQoVZMSJJ8o1o0fL47Nnyw3jxqmR9dMzZyo/fBB4qZa3VxYulJstEBblzz17qvcFuCgbu3atDHzvPXm0Xz85olWr0nw4qp2CIjd2cEeGOw8EOAosLPy3GjmaESEXxTkemJh2UKkPFgCHRqLqV5oeQ7jwhpaQdW6GZcEPtts5CG2UBo0YK5A+/MY9PsgJvm0GgVpnZsxM7ycKQE37nLF764wcFYhTI8++buPdWwsWyOnm//9HzZrJbR06SCXbSeVzKpxvyME2o1/95ubNaqz72Ny5clXz5tITnioMuAWPIKbBpvs8zSs9R1mwMy0vaNm5c8O5CM9Rg01DQ2/0yXmB5/g/x3Y8Q4N+AmukDbsD1MQ7+oVSRNauLR2HuVCABnv7dtlSVCTXzJwpW4uL5XV4clq5Us6uU0c+27JF6uTnyzWNG8ubtvN8WLNmpZQMjCtQSEFRRpd+rDPUM8b8qlV3ae65iAKlA3XP3WUbH+kXXw3MLSaA9gdoyLEAJV2RO2e2yNTdRttVVaDPOZ9ebFAOjDPAMZuG0VwM7kVJAfa+Eq+hhMRaO3/eg7dsRwymnceJMufxKn/eHQT4nnOZARg9D5jA0oKoaG44OLptzlrVq0vlggLZinDZq1dLu5o15bzbbpPl1knBvw4aPw7EZiUd+J+0ImfwAgNnDWvUkJM6dZL35syRQ+Fjm1pDowEoSALvysCOL9fg6zcuf6uXLs2by18vv7x04MY2qNNIBi2uN7jgAsUvTDio2RZnWJhEGtQQBdHAGQa+wBk3LTHBN6NSBk0qNTbWroLVOicmgmlOAjZoBzFKhw6ADHBAmgc1TRAugkgxwd8YAC2oSeC20SME0o1Bju0H9YG8IUoctTtFRcpdrpCXp5EeEUQoLIoMGOs7AWwxqbG8TAt8YpcucmLHjru0R7YNC0tzDMbKwXZgVNNqAT+CBw5qvI3THECIlYdysFmWFs0vlJdpisICx/itKAvdiqSmj+WG+8w1HbnTPxowQF0f/mvyZBm+cKEaddKf9qUdO8rYlSvls9Wr5cYxY+RheIyhsZMBrNGm5e5Xu7Zc1LatnNuunfRt1EgOcgaqnTERYgIE2GJfYrAMt/DgtrjmlwsIthujcGi+HW2J9RgWtShz46gyv7848EB5ffZsdQd590EHySXDhsnfJ0+W6wYOlLvHjJEXpk+Xt048UdrVrbvLjR4C5CxbJu3AzS8okPfNqOrQRo1CPaMeLurSRW6fNEkmr10rwxcvlkNhxF1YKGs2b5bnZsyQs9q0kdrsJ9YW127aJJcgWmhhoXSqXl2mb9wof545Uw5s0ECOb9lSg1JAeoBTj3pEe0G+US4ABOyPsAcoKJAHDj5YtegT16yRPi+/rLz3v0yfLv86+GABdNiwfbv8zHy6wy0jFgqIZvdduJTMyZGRderIOSNHyoR16+T0kSNldI0a0hFBufBd2/HT73LusJ0kbbMoZ4A3b0iG8crGDlJEgnYX96NfMUoo2rSjiLy0bJn85tRT5eTcXLmiSRNpbsBIAQ6D9JDfimfB16WWuqhIXlq+XMZu2CDXtW0rdUmzMmNJetDAt0jNUrpCAkVE7+U45A3XONYRYBsdaev27fLGggVyWJ06asyL9BQXFcktM2aEfvDXL76QGZs2yXPduknl/Hz5xaxZ8sjSpdqfTq5bVx5o317HIZRwNXwb5b99u+zYuFEunjBBqRH/XrVKbm3RQssml+M/6SjsXxDSHriYIUUEizcCOS68Ga0U9Vi1qkae/mjZMhlYoYLShsIOG8qfCiNGoMQ1ixYcxmTUGWhjy5aVgnHOCfgeACjyvGSJlKB+ODeYF5Gh69YpuG5UoYJ0r1xZ3tmwQZ5wnoiG0+sK+mLnzpLbpElp+ps0UQ50CMaDPOJe418LvoVyMkUJ2mZugwaldU+KDATpoZIGgBr5NBoO6B96cMfbR8fE4g9YwqI3B243FUtIBz2o2Q6EjjX04ORpQ3tJUoC9ryQG19k8Pfh7Yu11wu8yUR0jDWfoZB7gxYffKvHvit4ZVqLxdrsDq/R327ROHZm9bJksXrVKmjZpEsD1gKZN5aqBA8ts1QetDSduas29JtXkqbPOUr/FGDC5Qg4+cx1NIA61m7gTEJcrFyQ0wIyBeATKywifJ1hkuXiNc1wfzL8DzaGsvRY86dvUGscAnu9Lqi8CI3K+ubVLugTf77f+7Z2MukcNU6BQcFsu3kHxPHbLCygkT519tqzdujVEdMygm7BNULNOrR7bArf4eJ+BR4adD+LT597tF3fheeYNwoUdjbxoNOc0wWFB6dLqjwAmAPCpObM05Ofnyw969JD2tWrJYU8/LS/PmiXbi4oUeN3Qq5cs2LhRDhsyRJ76/HM5s1071W6GrficHJmxYoUm86ft28vJAIS5ubJ//fpyZOPGMtSCw3TE5Ge+2DMW1hT2mdgug/3Qn2OeuFj07cLKS+uJZYdFVLNmMvTcc6VexYrSvkoVuX/CBJm4apU8Nnmy/PWzz9TA9bdjx8pjiMxrWsFhw4bJDc89J80RcrlrV3mXgW6wU8V6Ki7WgEbn7bef/H36dLnjs8/kkObNZWdhoZw2dKh8smKFfLJqlTx+2GEZOxY3TZggy7dtk/2qVpURhx4qN06fLn+bPVu+P3KkPJWTI58biOgGXikN+7gzxK1mt6DOy8+XewYMkCPeeEPBdUFurmwvLpbTXFRSSPtq1eS5AQPkoblz5ZxWrSTf3tmqRg15b/BgOePjj+XdFSvkx59+Km8edZTk+sA1XOgSlDmKXoiSGNM98By1y+SdGv0icFQtWij+R9pvmjRJFm7ZIn8BIJ0/X05t0EB+26GDNDf3eaGfWQRGHOu2bpU3ly+Xfy1bJu8ZuP9k/XoZ0qeP1OAigMCcNAEX1VGBDUOjk95Gv9rsexE/NvDnDWD/ZMoUeXLZMmlRUCBPduggferXl1eWLZOJmzZJtbw8+WPbtvKT2bM1fSdNnCgH1awpD5h7V8hzK1fKpxs3yqLt26VmXp682rWrBidBHT//xRcKrtHKd5SUyPULFsjQtWvlH+3ba2Ar1T4bIA+LABrYMeQ6PYLQlR/HduNg0+0mnr3rrrvktVmzpE2FCnJ13boyoEoV6WJG00HJ5Mb8sLtEexXbbVPgSiWH9whjfvMZxEb9rNu9rxo96rS6deWOZs20XF5ft06OqllTxm3ZIs+uWSOVQLepVk0ORgwCGnIjfYwZwOiPtluoi/YqVXZp9GnsCM02jca9m1nmi4aR+BvjLu7nYgK3cJeFHnu4yKB9DcuIu45Uvtm4FiKmco4j1WgvSQqw95Vko3nEoNn/H/+On40N7diQksBkfN5fj8GjH9g8iKEmxQOLmAZhRzMC7DVrZJmthhFF7/3vfa9UW+n5qvwN8RMateOR5w5oP3GoEFAT3NMyOwYBVm5hUZNU1t69VpQfDzq1k0bvoSFmRnknvYNlzFV4HBadZR5TUjxFJK5DRqqiQR4pKD5CH3mk5KZCyOnj+7m4IYgFaLV06KTvXR75g+9mfdDg1d4dDD4dyDwFbvgsmAu1+IHaQfAOLQwAKl1M+UAebCvk6PlgSlaXWk/cviSIJuC3dqIBFai5Jzj3Hm38LoYB7BAYhe81TRQ9xwS6C+uGiw+CbVsswNizSbVqssS8GoCP3ahaNfVR/sMuXeSvU6fKFR99JOOaNJFq1i/hyWKG8SGVZ235R3qu79VLAXbdihWlBagKmJzcQipjd8xzsP0ihGVL/japCABNzDfbAnnq9n1tx6gnm9wONM0ywBUMHwGwbxs5UsE15IW5c+XGtWtlPxgwgaYxaZKeX7Rli1wyZkzoSqqhtomW4PPHvXrJ47NmyXD45Z48WWatWaPgWt+7YIFct2aNdIY2rKREXpg3T4NXQO7r3VsD6dy+//5qtIXyOu3DD/UaAsk0ArWGUfig/aKRtu0AKmi0sQgBrv5wwAEyc+1aub5rV7l8xAgZtnSptKxaVZpUrqzg7M6ePaVD3bpyj3HitZ0aMKqUlyd/GTBA9n/9dflwxQp5dv58Ocfz7r1HIFIjovDj2u9pgMf26jnYBNoGaFUr7sDt8OXLZcGWLRr0qU/FijJ8zRp5YcUKmbJ5sww/8EDV6iqwpyZ7xw6ZuG6dfGf8eFlu6QCPHRH3AFbPnTRJXjngAMn1XG8CUdNSUnsdKBHGuQ7h0xlmnWMVxxZq5HNz1dD1aWhrRWThjh1y1JQpcu9++8mtRpG6ukULOad1a2lVrZqcOnGijNqwQQ/Ira1bS7eqVeUH06fLHEvTShhnT5kiQ3r0UJD9RwPiv2ndWurk5ckv5s6VdzdskGOmTpXXu3eXxs4YNRilkjLmvVnY7pn3vR+8yxhfHwSR92xhNhdBsSxfA6tWlXubNZOuHJudpxotH9vV5cIvBBniXODHSQJvKuBsNwYL0zetXE5u0UJya9aUs6tXl7MtrPj3QWui8XPFipIPI0UIxjqAa+uT+m3r+2FHsnLlXVQ0jkNGw9O/LSBYaNf4BnYCbWEQtN8Y40jx4PjKRZiN5cHQn8LdOc5NsQLBK5H2oqQAe19Jkrbag6/4vli7Ss0kqQqcGD0VxEce5PPOK0doTAkaba6kQ8NkckyLGIAUNTvkfHmgwXcUFQVPItBgLzWA3QgdkoMmV7lIk612VYOBjoP3ETB5Ix03OATNPDstwT86NbbMfKACn+dsixyWFQ8XKMaD+1AWCTScjDrzi4eIPx3STN5ZxMHWb3CA5ILB3+O/bd42wqTqAZ9RJRhoQQcyl1Z9jvxMF0o2eDehQRoHM3OFp1tzmEwIeDDYElTzXdSs4Bnw5CxKnHIAaShnW9f6LdIvzJBO0wvKB70xGMAI2g/WB9JD7yGkBlkkPPLEtW1Tm4tn0Uas/VFDp9oQCzSjaeY30DYtUI9eR/lY/vUZK1vlAhp/MNBKqFFBnm1CY19DLaDFntqhgwZugSBiIAH9LQMHypAFC2Thpk1y0+jRcs+BB5Z64dm0Sbbs3Kka09ZwX8XyrVRJt5dfOvZYqVtQIHkAreSEm5u9jMmF3n/Qbkj5suiA+hvAim0bdYN3kI9L128EGCh3Bidx3jmCL97iYjm9Uyf59YgRqqmHAJBtLSqS2z/9VB458kjN23wDR+BcgxcKjfMB9etLfXgRMH692hDs3Clt8vPl1oED5bqPPpLrRo4MXbpzzZoybf16Of/DD/UbNStUkA+WL9fyhueOQ8D5r1BBA0s9O3iwfGfYMPlw+XJpUaWK/LRrV8lr2LAU6EGjja1n5IOBPVB+ZhimC7O8vFJXi2Y8+MpRR8kqBKoi/cbAAz1y6FgKt2am1cU7WleuLNd17y63fPaZ3D99upzTtavmb966dfLc1KlyZrNm0sqAfvD7TGNI6+favgGSbPE2YskS6VZQIOr3hGM66huaVGy/b9smr8+fL+8uXiyfG8A85phj5NHCQjX2PG3cOJm+ebP8aOJEeXzAgF3a0q1bZcyyZXLi2LGysahIWleqJKc0aCA/aNpUANGOGTNGhq1eLQ/Mni1XdepUWk4A9AzuQq436FDeQJERKun2D2nGM9y1Mpm5bp1Sf2rn58vNs2cLrhxRu7ZUyMmRN9eskSvMqBaa3x937ar9cVClSjKienW5ZsoUeWf1ajmtYUP5WYcO2uffrVVLXvziCzm0Th25afZsGbNhg3x3yhQ5u2FDmb5li1TPy5NLu3SRWiUlckDDhnLKp5/KzK1b5dhJk2RY797yyOLF8uLy5fKr5s31/NMrVsg1TZrIuaBBcG5CucP7CedUjr+MaJqXJx+tXCmbN2+WhgUF8sOGDVXjPmbTJhm5ebMMnDlTLq1fX37dtKnUokIC1Yr2x7mInndQZtBG060fFWVVq8qmFStk9YYN0tzA8paSErl22TIZuXWrrCsulnoFBTKwZ8/SHRSLeKpzIPJBqhIWjVjsmncYuM/TscfP01SeWTRj8YtxzKVY9DIyJrX5XABibMRYbhxu1WBjXKfrVY49Nn6p1hzfxzxE3EClEXc6OA86IE3D7Axf33tJUoC9ryQG1+XRFrKdi6/HgDHWlCZ5EUn6dgTgM4SgloYRXlPuA2u4CRzngieR1atlmfEbAbDDthm35D1o9caSbts5fCMJILstfm9kETjMSXVQ3g5B7MYvoYwydg78M0l1kaTBpmbXa6y9oWaSBjvJkwhpEp6C4SkLbuEVypQeQKhFT/K2wTRyIUHgbZoCnRDJn3eLCHoDCPSJSIOdQTFwxkKBH+zqPmiwaSVOI0WvaTVttAJcr8G2NhaionlNM3dHSCexdhfOsTwYic8vkrjIcQvOQDfJosHWidXAUaAekNpUVCTf7dRJATY8SRwF408rDwRveeDQQ+XEIUPkb1OmyGlt28rApk1lum3ntq9ZUyrYIjLwk3fulOMQVdEWA8p9p3vHaMcq9KmoH+tigvWGMrAFdbADAIj2dgVohvTHi2c52fLd1qdb16kjfRo2DF5BHjn0UDn73Xflmdmz5Yx27eSorl1lwYIFeu2hvn2lX/36MmrVKmnPEPTcpTADMpTdFfvvL0PmzlVjtBbVqsmN3bvL/rVrS9/XX5cp5CSbnNm8udwJ7TCNPStU0Kivbx59tGzevl39rGs+MGHTxR2NtDD5uyidBJw+AiauYQpvSJeUNi6Q6097Fa0XapmtXVzSpYv8fuJE5d1PXbVKutStKxe9956MWr5c7pwxQ05u3FiNXS9o2VI6eu9LphlVw0ajT7y6dKmc9emn0glc2v3318WWXxgALG2AB5sJE2SD26k8+eSTJec//5FetWvLU716yTGjR8uLy5bJGYsXl3qmKSlRN5KXTZyo4PrgmjXl2R49NJInFxG3d+ggP542TX4za5Yc0bixdDIucqCwkE6xfbus3LxZPli9Whbt2CEn1amjtLGfzJwpU7duVarUjc2ayRlYJNrYes/ixfIb4+TXyM2VDVbGt7VvLx0rVZLzJk+WIWvWSNOCAnm5a1epTuAF15HwPtOnjyzauFGaVasmubbg7FKnjnTGwi0nR16pVUsOGTVKPt+6Ve5euFDffVObNlIL5b1tm9779v77y7Hjxuk9h44bJ/NscXK285Zz2bx5Si253tG6gqtRaxNTtm6VR1avlhNr1JDDatSQN23n5diGDeXaVq3k2sJCWbRtm1w/f768snatPLhypby/YYO80b69NLQxnUF1dIFMQ3DUs/lA110Op1k/Z9o0GbZxo5xSubJcBNeZGzfKOwTOInJ606aSD3sIPIu2YsoqfZ7KArRd+pw294DB/ScUDaZlzhhfi2wxaLhAx3S65/TeXKjoI0WEdh5myBmoMrRdovKCYzjnO87DXJASWBPMu7lW7Yi8Em4vSAqw95VkoyUkabazXYsBsgecnmud9M5s349pCUla9pgDTM6X/170fzMXLp0a7MZmNJSx9Q7xWl5+i+foGSOJxmIgMfAjPZ0iKS/llamnHzB9SXSbJLCcrYyzgWvvlYVaf97P/LrFSnBZ6KkkPj0EuI66Q6f6Olj58uS7WX5cpHgAz2/Q/RM0JwSTMTUoPhfnlyDXfTvw5b2Wx90TQDtpQhi4uTigwSnrxgNlv6jy7dTnzbURcvUz3PBF/SsAT7dAyVhEsGxtAZFBp/LXCAwdVQV/w2Xhm2edJc2rVZN8Up2wIIF2rnVrOa9DB3ly5ky5/IMPZNQZZwQf4B3Rv4yaQfpECIpDLTz5ifEOWTyGRDtpDBISdg18/fiD2nDWgbOB0DLlQs7a4lmdOyvAPrhZMzmlXTu5cvlyuX/KFLl8+HD5oHlzWWqc6/2glSwo0FDM+izzZyCXVJS8oiJ55dRTZdqyZdKzZk3Js4n8rwMHyrhVq2Rg3boa/bGwqEguaN1acs2zA43PcG9uTo5U52ROLzneS4P5M6YGOwQYYQAT0qd8+VF7zZ0w+knGe8BLtUUPDWnr5ubKsc2by6sLFijv/vzcXAXXkG3FxfKc0RX+sWCB3N29u1zQps2uBap3v4d7zQB2+tatcsbkyfL6wIFSmffa8dTChQquK+Xm6vv716olnbB7As80ubkysKBAftK2rdw9e7bcNnOmHN+8ue62/HH2bJm5ebPUr1BB/tWzp9TEdj7bdKVKcnH79vL6qlXyzooVcvusWfIEuPMsB+dv/fWVK+Xi6dMDwL97yRJdQAC4Us6fPVvP7ywpkSq5ufIZfVfDgBQa1/x8ua5ZM+mBNlJYKE/27i1Dli6VA2rV0uBjqglF+sz4Ojc/X1qyHWMeQn2QCpSbK3DM+sz++yvIhhvFn7dsKT+Cptu8ZAB4tsnNlX/36yeDR44M4HpgjRoycsMGqYo6rFNHXgQNaskSqVO5slzarJms2LFDvjtzpqzcuVO177hv1ObNgpw/tG6d/KBOHRlq/P9j27TRdKNNYDx4ulYteX/lSrl01iyZuX27DJoxQ70QYUHx++bNpQMVAqbZDh6iuDC23/M2bFBwDXll61Y9IJXhdrJpU6XAHNa/f/AOohpr7tpAONayD3KXy9m0BDuceJwQO+ftifw8zfmfi1KCc1vAcm7PmO/c2OQVgEEhYvdhPC4TxI9A28+7e1FSgL2vJEn7GlNEkrSl8XkPZD2QdD4vPaWhjC/N+Ns8T82pX9GRyuHpEui4ni5CEOTDMFeoIE3NVd8ScLDNwFF94NIIkBo2atsw8VikN11FMxojBkijpHhNNrWlqmWyTq8dkpouD7aSQLKdzzAS5URAl23O72h4hhqpyCAwgBJfvl5r7IGogYagyfSDDrd+8VwSgExa7KAMzGgmUEpsUtd04l0GuLSMSbswTY5qBWyrOXCWAe6xNUctJN2WEaCYhxAFC7Scp2aD7yDfGfVrdAxuXQYNhmmfdULkLgkmL5w3bw5hS5yccno4QFGDnoBtRGw9cnuSNCSCdDzrtNU68TIgBGgPNJhh5EhODOZjlsESFJyZa61QJuSAo6xYp3QN5RaC2uqxZc5vsV8WFclhAEwMXGHeU3SLdscOufPgg2XYF1/I5+vXyy9HjpRtBlIQCEi9hOA7CLZgoAEcW2zLq2U9yo8gj+3euWzMWNzQm4PnbdKozgI3IcCDLhQ4mXMRgu9Qy0TvLcgrqQVGj7m8Xz+pmJ8vR0G7V1Agtw0cqNHhpqxZo24L0SbhDaIBPANwTEP+4EWA/ZxBKqzfVsnLk/3hS915zzm/Wzc5Pwq9HSZcgAjWPbbu0X5RXrgP+YPWlK7fcK/VS+gL4LJypwT9GmMVxwb0Hxri2fip1BbUBZ5DGwLodLQJ1TRu3y7f69pVAfazn38eolYe16SJXNy6tUxdt07eW7FCwdYVMBZdt07+gCBFpCvh5q1bZcuOHfKOLVIAnmF0eNesWXJTly6l3OutW6VoyxZ50HYKbm/fXo6sW1dq160rSzEOoE2ZC76f7L+/PLRggUzZsEFeWLxYPaDc8fnn+tydXbpIHbQ9tAu2H/zevFlu7dtX3nn9dXl5yRL5Yts2aeHANcrquXnz5AJzXdihcmWNmAm+9/qtW6VJQYH8vWNH+RjpxrfN9SDlZiw4GzWSxdu2SY8aNSQf/Q7a9R07pOKWLXIa2iHqAprVFi1K5xe4poNLPLwLB55BfaCtIE0MVJOTI52rVpUPq1dXPv9J8MJTq5bktm5dWk/Q6m7YIF1r15Ync3Pl/JEj5YTGjeXB3r1l5po1UjM/X+0pukyfLrd8/rlcM3euNISnoGXLZKwtDkoJUKXSu2pVGb95szxuu7ugLA0eNEhyNm0q9cpk5TW4Xj15p359OXrUKM03ZMGOHfLetGny8yZN5NpmzaQSDfW2bJFV27ZJJfhbdwD7BbPZ6F2tmjSvUEGmbdmiuwR3dOigOw2QvPbtJbdjx9J2grkE5WKL0BzQj0iXw7xumuawwOdODWllPh5BYeEuxRV3HM0uKIwhBNv4jbqzRZGmH/2HIJvjge0Q0k92PCcHGiEpln5O9ngsoo7sDUkB9tclMZhOuub5snFAFw+OPRUg1nB6+oID4uF9MU2B24Z8PtZUOnc3tC4PQWe4iszNzQg2Q4pI0GBDyMHGBEUaADVf7IiMJuYXDTw8x4pRzTjYe5eE2crcn2M5cWVL4zlvIOHKI9Af4nriIMDfvhOzrki3YRo5+VNTDfHa4liz7/NFoOQBOLWsTrsR7vH3Ecj7Ac5/i/xl1nXSN2Its9f8M7+kiNAYhRpj5puAlRxXA+nkSIf6pUs9UixYL3QHhbZEaoblm5oVr3XmdnZYFHAbk4ETuDBgm3Ca8wwvIWyrPO/aYYZLS0Yx42KU/GYG0aEmmPly/EOcr121qvzj8MPl+FdflYcs/DykE1zXGejT/3HASwABPCYqnAMA85p51+7DItH3cV5zfmND3liPmMy9gSyt/LlIIVin9xUri/ydO+UScJYtMAr0Y1f16CGXvf++vG5GiNBe60KG30ZZg4tv0eoCrcWiC2peOW6xnVsf9n7+AxBEuZgBlvLvbcGm5YjvGp9cqUQoP1wDMMP3uXtCrw70qUu3jHSB6A1xzX2jjo8oQ/oNJhC3dnls+/ZS7733ZNmWLfIAAuGIyA/attWw7TjgMebuGTPklunT5aH582Xdzp3y6MCBWgbFOTnqx3v2xo2qfW1WqZLc2aGDfG/iRPkjvJc0ayb7Vaokm7dskZumT5fZW7eq14zvtWqlGtXiKlUEsFwXqkjP1q1SF94sOneW306cqAanWMjAS8rxDRrImTQ6pQs0C0mNPPZo1kxdH368YoX84/PP5ZbWrXcpLnbulPumTy/NW8OG8ucOHaQwN1d+NnOmTN64UR7p2lXaV68ugxs3ljMaN9YQ9VVzcmT1zp3SrKBA+sEANTdXDYG1LtDnAfQt7LbWC9oa2gvsE7BQpS977oKhPjA3oe2SokAABw5/QYF0QhtEvlAeMOpDu0AbMM8bR7dvLwsbN5Z86zudzJ4B7fO6bt20fJ/+4gs5xxYS4Ig/1rGjeuJYA/uBSpVkQIMG8iG86ixeLKM2bpQjzz1XqjZvLjnYoUJ+yEnfulXtDYYPHiwfLF4sDfLz5a8LFshbq1bJHeCAr14tf2/XTgbUri1zt22TgZMmaZs8v3Zt2QHXe3l58qwZMV7SurV8H4tGKpGQN5uT8Rtu93Rhz4WIufoLNk5UehAAk0LI8qPii+fybDynMoTnqbygbYijsAXvK1T6cZ7kPEvFACkiHGdJ37K5NyzuvdKL//t5OgXY/yNSHl0h2zZFeedj4BcDaS/eanZP3uXfF9MzvEY3/u0m7ebQBInI0nXrZK5td+rAyG9w4vUaXP+uGNjHFBEIaQzsoB7YJS1a4jyHP82Fnp8Yy9OAZ6szv0CJn/N+uH0AmySwH2/bJ73Hn4vLiTQL8pC9Np2AOSFNYZCklTrBcjaaTtLfniceXcsAdK6eQxTGLBQUauFDW2G92LNBW+LLM97tce3TU1V029/Xh6+HhLxlO8J2ZLywYn3wW0m0Gk8xoA0Bre/z8mRwy5by81695B7zqwzphMnQT3wEv55v7jVDvo1xPOCCLyEaa2ijLu1lFoxuARi2iaNyzdgVY16Np4nJ+0iANYZcB7ccGjIfOMnx27VcGInNL/ZI/eF7CehojGm7asHjChduXFw5zyjhec/r5KKKXmn8wooLI07a5u0miIt2F/LhDb2RxuJiKahUSR457ji56I03ZOXWrar9PAY+4m2hkZubK9d16SIda9SQc8eMkecXL5YTFi2SM2rUkPs++0yuHzVK8qyeT2rcWE5p2VKOXLJEhq5cKT+dOlVerFdPDh0xQqYaVeBnrVtLNQBQ7kyRVkT7BbiB7NlTfX0PWbRINhQWSt/ateWx3r13uU4DWCXANooSyu5HXboowH509my58fDD5a4xY+SlGTPkvr595TNolKGN3m8/qVC5svp8/lvPnqWLMRdsqnN+vnQyI1OOy/oNAjZSh6ClZrh4Um+wiKJRrC1Ww64XDbU5xjNeAto7jECtPrizpu8wnrP6yDbj5grcMeFClOnLyZEH+vVT7vtf5s7VcryxbVs5xSKsBhejlSvLwU2ayMH16kkRvKL88IeSM3VqqfbauUfUsam4WJrk5ck5lpfDGzWSVxYtkmtmzJDZ27bJkVOmyB/atZPZO3YEbvqfnR9rbYY5OXIygn8xvD3u48IVdY4yYeRF7uDSsJDerrhLyTknYcxImrdykuZRNy5n2HH5MYbPxuNxeYe/P55f47m7POz1FUmqwd5XklSxHqAk3Z8EnL0W1E+e3JaMNdjsTP4bHhhwIuTq0FvVmj/PEKnNaVjDJMuVqp+Ai4qkYe3aGhVwBdwjmRGIAmyCGwyCpvUILrjMGESt7dnBbdtcJzZO1uQTcjud2lo6+ncr6jJl6s/HZc+JGZeonYnBdaSNDhOrgSzNgwfDdOvGSdhrKQka+S5bTXtPJWELzNNI+H0rfy07aoipTcWASQ0bebqg4dCxvoE3ThIZBngE1Ra0JUTxi6JvegqMDs54F+vK86npRol14ykcSCcDxFCbQNdM1gZCuyC/GJodUlxQ/3ie9BBflmyfjnaj5zxFhJpXgir2D/5v2na/yxLyyL/xDt9emE9zORgoSPRIgjzY1mlY3HGSQ7+Apwka95rP19sGDZI8hN6eMEGqV6gg7dq10y19fQ7aOjxnk3OgJiCfDAKTrR94qggXOeTI0/iIZYUDIIMRE7k1a3lX7RU9y+BeowZopDUDOMFIGvdv26bAoUe9eurCD7IfNPPQMLrIcKBtaH7YdywIBaM2hnDVqGfQS7hVTc2iebzR8qBGktdYZ0iXeaTRukZ60bZQf9gFsCBC9K0f6scHraChmVu8anrwTQJtcueN5xqMD4uK5KguXWRC48byyLhxcmDDhlJAig+PoiI5qW1buW7jRvn9tGny0/Hj5ZAWLeR5G1/h0xpycocOktuwodzbv7/0eeMNeW/VKjnlww8VXNerUEH+1rmzHN+2bSm9AlQeBlhq1kxyYSQHV29w3VdQIC+cdJK8NXu2jPjiC/lxhw56TrWdRs0KGmxSpDZulBN79JCGo0fL8i1b5MOlS+UvkybJhh075KwRI/Q7B9SuLQ1BlUF/YP9EOuiFB2XIccrZxai2GtfMpaZqoxEBE5QGaGk5bqA/gOKBdoe6Bt0BeUS+YOSIfsNAUjTg5TgN7S3uQ/7q1ZPcpk2lBOmCZhf1hms4OBZiXAUFBenDOLR5s9JV7qhWTb67335KN4ERb+AhcwcZ92JBQooPyr9VK8lF4BacM5eK+u7160spKlgcGY3yOzVrymEtW8q1n32m2vJfzJmjnoUg4I8v3rpVeepDVq+W+du3y0nNm0udnj2lBLvJ9GIDn+9oY/gN7TkWt8g/2iYXgxyPScewRVCw94rHS29DlGs4hAtVPzabwWKYfzhGmm/wgEl4D7GQmycDFvGAn+Mb/uP9ftzz834KsP+HJJtWNUmLmfR3DMoJfNiAkoA4z8c+mmPNYqzppBDExIDVaxe59Y73cevGQHuPVq1k6KRJGikLAv++AdSZJgGDTDA88lvv3MKnFwRLX9Bmmku6ACBI6+AAnVTefnXty4J5JcBm+jzg8oNIrFX2rs+80/okzTEBDcNPe7DP37GWLElrauUc3uUN9kivYH7IwfY+RWONpAeiqFfjs+vE4zxFhEVZrLnkBBJTWhx4CxpH0xIqLcb8qWpbsPzrli6/5zSADFWsQN0AkQJLupHzAJsUIpaRS1fwukGtqFEWAhCNJwPWoTf288aXLG+2F4JvlA29a3Cy8GCe1vD8vmnkFNhhgjXXaJxUb+nXTw5t2FCgf6sI3rUBUeWUoizAKWZYZW7xciHn27prm2U0zwTaBKkQthnStqzMAt/c6DkBWBO4oM7Iz2VYawaEsCigKIsjW7QIALsDgBHzb54JNFqbaS9DHzK/ylpuAAU2yQZaB117kutON4rc/kfa8byjCmjZI10WkVQBN8rX2hm1lZp3lA+3umkzYvnJ0MABSCF4iQEKrSvXX+hdR13o5eRI3Ro15Jp+/XbZDXiAbeHIQUN4bckSmbxundwB7yNWdj9q3lwq5+bKgQgfX7GitAPY6tpVfj9pknxo3mfu6thRud3IG4AmwDTddSrX3dGySIE5pkMHOQbPUJGAtmf58hQRjoEVoGVt3Vr+NXWq3DFqlIJryBr7/yTwo3E/XbzhPNy+4X0Eu/ib0f0IsLErirKy3QDUiUYVBPhltMCCAsnFIg2LMhozckzEgTkICx5qvOnHnbsryDfqH20O7+DiiC5LbZ5iUCVVEiEtXAAABAOA5+TI/hUrSm8sRkgLYl7QLkhtQT5NOZbbuHFpXRgPXhcOjBTJyIf0jrF5s9SuVEkeOvhg2fzBB/LKkiVqzIsopbcixoC16Zt37pThy5bJQQMHlvLJUSbol4WFktuyZWn60a7Av+eCybnaC2M6o996bx1+HjTQXMZOCOIoIOFeiFea+XtJEfFGi/G4TPG7lP6cS3cZ4XX+3ouyd9+eyi4pb6viyzzjn/XXPYjOArDDKjEpHT4Ii5ckQFre9owDgN2wxemkESbOJBpAwrYSwXS2a+H/GND9/6xMvRcRr7GPVsaJK+B4FR2XYZYyKlMX/D8p3z7v5S28CJa4gHK7FUmUm0AXcdSRkJ+4frK1gyyLgMT8+OtuAZIB+OP7/DWCKQ+cd7cwjfNVXnrdO3L2sNzjqJ8Zz0VHmbzyb8fxLsOJt/cf1rSp9IOmibYGBMQxjz5pMkqSuO/HfTNuR3FdcBLz+Yvz7HdeeM7tchwNnq5JexhducV27GGmTLn4d3qefKSZD4seb4vgyi6DZpRUBglHRvuLv+Xqp0wsAb9j4Bee0RimgNyXgT1TUFAgP4XXDxF5cOZMBXtdqleXP3TqJLd26CB53G0oKJBrevSQNlhYQHNcp458FwsYLmCNO69lAmHZWDmFMvG7Z/Sr7u0j3GKYthpHwF2kiIww13peToA7SlsAhv8J7HiOShd35MTP+EUyv+/dZbqyDoHLWPeWv9AeXLvgLlVYiMV16OwwWH56eOqRszlRJYKlORykn3hNsdvty6gL/05vO1KhguQWFMif+/Qp9b0OX+/wfGLvxVGlalVdHNXA3Gu0mUCd8WUZt/2ov4V2mjS/Jv3ONvZ6KW+M9mMrx6dsz8Tvi+4r83zS/XtJUorI1yl+Ut6dxBOg127ivNdge7BA7wT+Pf4+btd4I0mI55Vxm4YrvywTZ/BVbEY/3TGQMqs5OVIf2gDTvFIrpFbLbpAO9IIksGGTaIgqhnRh4GA+vRazvM4cAcVglOQiC6pmlAOffyZ6T0aIdmgHkB/7NrmhgR7hNKh6zq+wfdn7wdzTVHzUPfzNwddP2hywLShHCNHNyFrk6vpyoubSU0T4jPEbSzgJ+rS6NhRC0Hqw4Ok0HgB6v630wEFeJLQX3DUh+KaXE9IpuD0LbRS9S8SLG18/HogxX85ndfCsEmuw4/7maCeq0fVtlTSqJN/Z5HWyf+C90FBZPyNlRI3MoDmDJo+R+aDZpPEcfduivHEfNNjYRjYPKkF7a1HYghbK70pF5VNmwWtAgTsMAUiyjeC6eQrRekI/ZhskFxyaZwbxwUGuL0N449223Y/3DGjZUjrXqydbqlWTdu3bl96/fn3pe0xLyLan7QZjCLTPMOpkv7d+omXCsOAcE/E/ygvli+ts+0bTCHQXGjLiEYI8lA3dk+Gahb3XvkXDZOQJ73b9N/B6obFGXhkqGuOKtX3dufAabDyLPFtgIk2r8yOs/yPNmzfLKR06yE8//VTWm6byyCZNSssN3wGIrlxZinNzpXLFivLk0UfLH8eNk5u6d5dc7vo0aiS5LVqolw1txyhbavc5XqFc6NveDFd17OK3oMVmOzMur+Zr2zY5HD7H//Of0Nyu6NhRHv38c+ldr57WsZYX6X3IE8YmaJ7RN9HPN2wopYKxT6MPNW1aWgfoG6gfo1Nx3Nc+hPRB042xAe8yrXnY+UCaUSfsTxaOW/Ng9gu4Nxfaa1BN0KfQR42aGBZBRgvCfUpDMUPB0FasfeluDxaNdHnHXQC8G9c3bpRc7qAgbXjO/IcTAGuZUstuY2SgGW3bpi4O3zzmGPl48WK5YNAgdUmoXlPsfgT5QtlpfaN/mpcSaP+VBog+Si9O3HFjBFemmWN4rHDwmCKeGyDZlBPx2MNv8G9KrCCIFSUxoOZvSDaFV7bFwV6QFGB/XeI1QUmNxN+XAOoyQCeEW6Hxe3zEtaR3ekDNd/NvsyAOkeAIsL0P4EgDp3QTm1x6OIDdAH5+bbDS9JATHK34A3c1phZENJQwGBiHTLmS3uI4zq/fEkoqb6aLgBSALwaUSWVnnlNy+Ezc6T1VwoGYDOtoP2BAvHaSW3JeSxffF9EvGJRDAYoFovAaq/Du8gC2i16nkysBKcsj1gKj7lGMXvMRaWqDNw+WD6kr2CrGwE9vGo7DnAFgfXABvA91b8EOMrYZkxaRNJbE396uwHHCM4IO+MUDwbevyxhEO68wvn8yWBK3r0nHUhDFvgSghboiwK5Zs3TrHuexhYz/kUbSRTAhEixiS5rlZ5Ol8llJ+/CeVZLGAN+HPd0ldh/JsqL2Ds8ZyGEb1HSS1oX/CfQJ/LHdjQNlbSAH5ytUqSIjLrpIZp16qhSsWFGaf4YEJ+3DtscV2AOAIY8YP+j60cYG+vLVrXU3DiitAQAS162eFKDjHoJHfgfnuKBkPo0CxIhxCrLRlvFyLnKMZhA0jlwIIa8G3lSpQP42Q0zjOVIFALrMcFO5+BZMRAXfNb5q5fx8OaN1a/mH8a+PABcZBn94J6gG5OSDqpCXJ08CiJKeYLxw5WDT8w3ShPMcmwxwarvERbzLPIconQD5Rbtj26DnG5Tdli3SCAqWxo1lkrkNvLpnT41YWQ0AH8+jHtCGUaZGfwBFgtFU9X/z3BHqEIDQFiOM/kuaivYpW9gp1QVjA+5F+VEphL8t6qv2U4smqbQM1LsZ86mgb6HMkEcbqzJiB+BZlAd3k9AuwO1m3ZPig3TRWwfnoZycUmCO/IFfzfqlizrkge2aizwqewhG8W5QSND2cnPV+0nnunWVHqP3YlywtqKuCrEoQn2jbSGfaCdIL2lQBNjW/rXMuPDyY36SksqPuUm7gbkJu5/+fawb/x0/fyaNXcQi/rusZ38uG4D2mGAvSgqw95FwiyKEqi49We79Gff6+z0oS3448+/yGlJ54B6SbaWalA7f6HNypEOTJur3dnthYSk9hDxds5DOAGgxcI0XFd4zhX+GHdANfp4Kk1jeSfn02i5INqCelH/+9iAvLp94e72czp+xFR+/z5dNUtkl0R98GSaUEf8OXk2StA3RIBk/X+4R3ZPhQ9wt0EL0RJfv4NHEB8DxOyjx4J2Upuhc3PaCD3P3zazv2l0+s93vt/6dh42MKKURXSAjmE1cn0k0Du/xI0pXmT6RLQ9JHl+S7iGNKtt1littRfBhppOTt1t0FpSUSB53B2yBFbToro6Dx5CEdh52fajl9+3I74jhvHPjmLFj5vpDYj+L259fnPgFoeeX+uvlRNEsA2Do25dtyvKhCozCQvl+x44KsKvm58ug5s1L321a3ED98PYWbDcx/YLi25+L1pqxsORi0tu7xAtOe+aI9u0VYLevU0daYJHBBZdRTMJOFd06EtxDCFL9mGOa6qBd5aKW6Y13OyN7kYzdNfb5mObjFsYhGjDrOimfVAawTfvdLaaHO42lnS/UbfCcQvFtyu8Gxi5BbTdEF1vYScE5uhdl2dKVJhUKzo7Cuw0N7jhjBZIfV/1Y68e4JFyTdD4nQfGRpAzcDb4J78yGe/w74t/ljYF7UVKA/XXKl61gNnw/6CUZM7r3lsQUEX+d74PEYIXvozaDz0GygRx2XtuuhZ/QLo0ayfgvvtAw6brah+YIYYzJUaO/aT8xeS2q/fYgRAclaPjMPRRDroYBf3flHXdC+q71XkT8uwgWonfpoM4BEumqUWOXt5OovoJBHHl6fjL199q7MviA/B4mW05KOEUuHZ/leR+6OgsHNdBM3GSeQW+gX2HPu3TlUSaP1N7ZM2FC8O2L7/MAjh5jcJ4hcsn58+2dvs5xjmWDbWBPC8rSXwhsMtzGMW0EdbwetxVO1Lyf9eAm9vCupAUJKQd4Jydi3GNBZ1RTh7LG36a9Vq0SDhraYSJG2zSNJIMEqdaak7TVkbYPanQJqLKNMb7uXFlwizrHtwPcy3bMtkQf5BEAC22MW92oJ/xvrsD009AOkjZiQXX0PO6FJwXbfSkz3pnhn1JQACRAFeGOBDWa0OohuBU1iEi7abA1Dfgb+cL9tuAPfp3jMdYvBph/8mBtx079j1NjinIjvxVtBRpQuobz7c128dguVRtPrSfpLtB8ogxAicBzZrzK/tC3VSt54vDDlX9bGQAbeQL1CNpXaMpRBqTKoEzwrI3DMHBUzboP2kS3geZLXYPOwKuIb5/YBTCvNcFNJP3kW1tVbe3OnXLRwQfL2zNmyNWIEoix0bxvKIUF2mvch+fpHhDpprGiAcMAuCH4NseC2EiZ9WfRMjN2XUh7sjGTnoO0XTj6j5YNDWShEGL6XH0Fd39os7gfZUg6JZ4h5QvXOV5Qo+69iJhBp9Y9DeORHtsJJH0q0DVwjvVPihGeRx+wNOr9oNmg7rmzxHK0AEu6S8P80zUf27sf2+Od0t0ohUL6k87lZJl3/ftiJUl8Pdv34nfGgH4vA+jdSQqwvw6JV2xJ1xLOBy2jD8vM+z0NxDcsRpyLv+E1eT49EUANWgb/3mhiDv46uUrHNqdpqroTYGMAxIRBLwfO2CSDbxuDn0grot/A4IHJA8/hvRb8IWg09rTMmReCa062dN8Vc3Lj5wiEDZjqYGuRqnx5Bs8LuJ/bzfECyZe9aXWCQQ41uSxjDKacHAgYvNGV50tHADt4hfF1Sk2aAXJdOPiIkvgetyr5TBLA9jQYftNr/nieAz81Lt4DA91BeWDu2oPWNTVCPnpjUn3HYNcvRJh/A/YhrUnv8ItIX14M3R5rd2LtJrUnnATxLfNgQVdwCtLQfgAi0L4NpOj/5puWEQxRT95PbViwMdIhgQ/baHkafu+Zx+hLCka4MKdXDC4oqZFj3yP/neWKujMvItTcKbhg1Dz6XAaYApUDIM7TOQCwAeDwDvM4EsYHBp4BiGF0UPYnAFmANtAqQLcw+pC2X6QNABvXzeCPZav9CGCD3mhYVmwPDBXvNZbIk42punBC3XGHDgCbdgEQC4LE7f/wDoJ8arBxHZQMAnekG5QJepqwcN0ZHh62bZMzOncu5dM2a1YKhMG3BQcZiwcoMozzrufB8QXYA7hmJFDkHXnBeMrAUjYW6DiO5wiwUYagloCfHHvtQf0gD1BWoOx37pR2zZvLuKuv3hVUyiiH4AJrPZCXDOBNLyFccLI98x4CVQJyp6EPNg4Ej6R8ELBawBQdH7nIY7tGORGQG8VGFQVoK542AfFRcM3NrPZXbQglpYtj9i2417OxQcsM7YPuSZEX3EsbF/Y131/xPs6rtFcxl5ehT6B8QJfhGIn0kR9PGyJTymhdo68YpVLzwHJi+/bzAXeoOD96pQrvyybxtZws1FevlPDiNee7w0hJ7/XvSQH2t1syti32/KHkSdNfDy9NcNMX38O/y1uBJpzP2EaNO4Z9+5xeveTDOXPkVBgv0ZVXDHoc4M8IeOG/7wEB3dslgPw96fhhqynpHqdl2KMy8HwxrxX2ZZwAzsqVpMWPT0fSu3ybiAGlB5pJA1sMthLKvAyozjbIxe93ZZ5B8fEafA7oMXUhfme0c+K1yr5eS6sx4V2+PjhxxPlKqIvEPEZlk9GmEso1+KL34DvWzvqFc8JRxmCzvCOpbpLylnTwHUlUEhfBNYMiwnbrAxf5PEL8QiQyYA48YL+oY5klpS06FJC6XR8tJ+4AefqIBw9uoRQAdDl1nDFOsd5ZJ0n0AbzGjU9xu/D1GbjY3uuPGcXqYoM2DgDMnifN91rMABp/00NGhg9+R88IBuHcVWG/8BQWR1XyuxsZCw7fh32Z2rvYHzQtLCfvbcOCA/kdOwWVpEBwMcK24evV5z/uL/HYawu0sBj2PpWj9hyoPvGOXdzuWW+kJbE8uZPDBTjri8aqBMjMB/7mLrObO0Ofp3KJdcBIq6SIOCUVPbwETy+mwWY/YJ2FiIuun5cZw5LafzTO7uoutrNWzhiaE4/PCffs0bgVXU9KT9a0RM8kelb7CiXVYP83iB+YfSePJ/KkZ5I02P4eDzZ2s02TyLv1fzNNXPEXF8vBjRvL1PPPL9VGQcsE7ZM3BvSDJAcAP3C7wVMHWKzasUL3GpSIfvClhZo6PE9r/Wyg2ufXb+fSMwrzTvF5sqAwGbxH977ghcA/4wE0Du8xgVo3PkMNJCclTtgezBJouIkrnOf/eAd3RNxzGYuJuO35wZiTimnEMtKHa87rR4ZryBiY8f1+0rfJJcOwsDyJ3h+oJyxzM1LNuvBJWjD4PujrKC4P5gnCSRK/zdet+s6FRgnaLhoXMk/cbUCbMs2XeuUg9YL15caBDKBY3tjA875eWDYO4Ib+4NslJ3lO4nFfdZpeUli4Y6GaRHoDASWCGnC0YY5R/v1JC1afBh54B7SXoDBQ+05tHQMgUaPnF3Ok1UDzx10DX8cU339cOw5aQ69R9REEuatGcOvLnn2BnFLypgHKSPOBNp+Ak95ZWBb4NgzZsAuAdgzjNvPjHHYFqZ01Y3LVysIA0oUR9wA2jDtMN9/Fdmg7BOH90YKblLkA7HEdbdY8jwSf/PR6Y99SpQspJ4wmiDLEe0mBg7Adsf17WgP7jDfe9tc4N0RUiIwdUxcQK7R/V18ZoJ91xH7LXTAfIMsCSWl7sMBL4Ry/hWu2Q1Bm/PAUFwBpGhXbjm0ob87feAfmWPq2Znt31JIyi49ojs86hu1uPvy/SM6eg+j/VkkB9jdJokacYejotCcZxiDxKpPnKIyIlvQd33GyaSmzvZcDl38nBzcO2vQcAJdb2GLEthgGteXLA+gLWkiIpxYkDZAWNU63Kuk+0AM3ejfYw/IN5wiw6akg4qyXCSXN52yS4IAZtigJFnx9cUCm14vy0saBNQbY5j5Qt1TxGxOebUuqVo2eEEjncJqxoBH3flVdnujzNUzuXnuZ5I0iLgv+z4mOHFMCCw+8/Rau15b6+nbtMHissEVQSCNDJ5c3EHuNbhLlx0crzAawvdaYaaJmyVOJ/Dd9XTJ/5J+jjoxGpXxjUADIHWWeGKoZ29bsJzQQplFYvEBl3/EgI1t/iPoXNXEBWMQuKgm0SVmix40YoFHDCIBhbt5CuGq0fZQz3gUggLaM9wA4coxiP0e+yZON25dFmCWYU/BngUFIUwgu3KyvBb/JpJpA6JkG6QZ9gnSreBxkHTpgHPKIewiozYOKvoegyysd4kUXOeKkLqBNEBjjnaAMATSRc0zDNTyH74EfjYUaXgmPTQBw9ixtFADSdezF8/AyAZ/jHIOQNvSrBE2tgj5wjunRAmUKigZd0SX1fa8hZ7+Axh0BYdq0kWLQgXAr6oWLJ9YxACHpG6RiIA9c9EAIEuMxwmnny9jhcG7gbkjk9jSk03GaAyD1YxfELcgy/HhTM+3avZYxATDauFG9VHPMdJh7XM0dIiz69ub6qS7CCKBt0aVpZrRLjvfg34OygnbjQ5sbpSX0L/+d+Hvx+JAEwL9KydkNBeS/XFKA/Q2XDOM6PzAkAcUk8e77st0fg0d/bnfbP/5dHjBBoJ3AxEo+ZbRNpZKwdZp4jucJagiMsj1XXjpj8eCOZZZlgZPxOg7svBZRFny6wrZyrPEsrxyT6sTvXsRcan89S7lkeIeI3+ufj3dIytsx8XXk20DSM6T4JLmOpCSVId9F7iSP2CNKUlnG5Rq3aQ+isr0naXHh05EtL/HveHeCgMAf/J7bDqdhYZl25svKlUni95PyllRv/Hbs9srfFy86XP4yPH14/ryPXOq1wF5byPd4UBTXF9/n+xTBtv8utY0QljOfpxeRmHKQVDYJdU+aTAadwOfJg/Ly2g/F9bngopTUA9sFUKBFEO/dkuI9AKcGisM5y1NYZFMTHS98E+owA8T6Mvb8/vCIUQt83fMecosZbdW8V2Tsjvg2wPbP+k9amPh0xXXiqQ6+f/vFA6/H46xv/6Tq8L64XHz7px2Hb+fc3eDOKOe8WJEQL87jcdB9LwREcm0jtAm/c+GD1XCx7oE1yzDb2OnbqHtmd3SKbNSRrJLlvR5rfOl3fol79oWkAPvrkv9rA4hBLE6hs9BpP+/ZE9CZABrD31x57+GzHuzqwARwDR/Ma9ZICcL0QpPtttHKAMhsExrfiQECq3dMEH77Mi6X/0u5MmQufJPCb2t54M+LbWUHw0GCn6RnjVcYtiQp2dw2JtWN18hwMPUDJwf7eMKMtwWpaUoA7zoJo969pofPlQdA3d/eK0iGkRImHmqGzJioTP7LATUZuxVJi8wk4T1muFrGIDGhP5X5rv/NwZ90HO6k7Eka+JvgjwEyAPTi/sQdCRjicQeBCwxcT/pmtva/u3Jiu4k9xcS0MdJzksB1wrtUC8myJe2AoJHlgDKEhwPsyvj0+kVe0hjlNMqqvbZQ5hkLJs8xTloE+QWv7zdJ30taKLmdtUCz8UDevyvb9yn8PsqG3mSYP79LAs02g+2QQkKKE9oS+i7LxgP/OGpfvJDz+fT5s7SpYSPe7ZUjsfh6Ma836jEK6cT8hL5Cw1VfNtQk+/NcfCYtGLO1ifIWydnGxriPOwCe+A6Wp6+TeBHKNs9dtrh84zSXJx60O2Cv9BKrY51vYTRNjyJucaXf8Ibgezpm7gMf0d8GSQH21yH/FxDoBwPHf1PNDiZiuMBzYGa3wMinI2HQUiDLwZrCiZLPxAML/yeAQqdfvLj0AF/QrKB1K5ADS4KmNIN76QZb9TxgbswCFcKnJdsAuxvRaJLFxbqNWbJgQeYk4MvHD7743zwkBFdcmPQ8SInzQE0DtUdJ4NLnJ2lyITgmr49Ay2k8M74fT1SWjlC3BDssO9QPKR5+EvaAIG4r8cSIgd4G9sARt7QHN1tGXQouqOJ6jNumy1OGZ5vdiT2v3yEtIW7TEC4IYuH1eGImJx2/Y7Ab12X8v/HQdcL0xmquPFUDRtoIA2Jgy59tgDQj/y2mZ08mxyg9Wq58N/Pr2y8XFlyYec2iFy48QPEw7mioO9IoSMEiBQDUgw0bSs95I7AYhEblT9AU3KA5t3GBCkW6UxIIIjhxNIHE8klasHKhTK8V7D8+7LSXJGDHdNETDJ7buVMDriin2vc/ZzgXXMthTMV4BU2mswcJ9UkuNF1aos9TaeL9v8djOsQvTvLzlYLCoC5ZxWuAQVcB5WXJkkDfUW4wPcZE80XGnECAyHJOWqxkW/DEgJX1RXeLcZv1i7hYMx63BdaBUUQyPDV5zTTrCecZhTSpLXNszoYHfB/0mn/a4GC8wkH6CTzB+HZILbV50wnv9Hn6KjHK/0Vyvhma5r0l/weLsH0n27dvl1/+8pfSp08fOfDAA+WRRx7Jeu+0adPkjDPOkB49eshpp50mU6ZMybg+ZMgQOeKII/T6FVdcIWvIebItibvvvlsGDBgg/fr1k7vuukuK3WS7du1aueqqq6RXr14yePBg+Y8LAbtPxQ0wGVxj36GSnsm2Ik/6P9bOJmkKkn5H6QvGgjDg2rChVJPBbbRsRlgOyJZJv+UxGFbF2tts+dwTIWeag+HutJnxAOlBbdIgz+eTNH/ZwJBbQJUxBHTb0mpcGV0LbSMGpz4dXtvny9gB+DIgo7y6d+lWLR7BoQfCHswQ3JvRT7kGtD4NURnudguSB7dquQhNuMe/q0x6khYSSfSGuGziMvbgjuXgJtKMnSAuhizqqYIjACUsMpM0Uh64JaUlm/jFmV9Q2G5URr6dJpDX/BHyw7Da5IHS04ejD5BiFaJBQuItdNd2M/qCW/QF/8e0h2DZsX8wMmJSO3OL0jJ5jcs1rk/mK4EmllEm0Tsy+isPlou5T1ONry9vlgUNQAmyPZWHYzbr0ANGGsvRBaAfI7Jpdf18Y4blHG/K5C9+l1FbAKjVswl54Y6akNFm3CJPz7l+rvXiyzQu36g+sraXeN4sr55j8e+Px3Gfb6+MQDmb//OQbpeXDFDv0lsmb7wnrk/Px+eOrt+98PcmaNH3lL5Rpp6/KslJfude/eY+lm80wAbQBVB+/PHH5aabbpL7779f3nrrrTL3bdmyRS699FIF4v/+978VCF922WV6HjJp0iS58cYb5corr5TnnntONmzYIDfccEN4/tFHH1UAjvffd9998tprr+k5Cu7duHGjPvvDH/5QfvWrX+k7U0kllW+wpNucqXzTJW2jqaTyvysl31DZvHlzSbdu3Uo++eSTcO6BBx4oOffcc8vc+8ILL5QMHjy4pLi4WP/G/0ceeWTJSy+9pH9fe+21Jb/4xS/C/UuWLCnp0KFDycKFC/XvQw45JNwLeeWVV0oOO+ww/b1gwYKS9u3blyxatChc/+Uvf5nxvjjdn376qf7/3yiFhYWafvyfSlr23yZJ235a9t9GSdt9Wv7fVtmwYcNexWvfWA32jBkzpLCwULXRlP33318mTpyYQd+A4ByueefhvXv3lgkTJoTr0G5TGjduLE2aNNHzy5cvl6VLl0rfvn0zvrN48WJZsWKF3oP7mzVrlnH9s88+26v5TyWVVFJJJZVUUknlv1O+sQB75cqVUrt2bSlwRhX16tVTXvY68HmjexvAP6eTunXryrJly/Q3gHK263gW4q/jOxBeT3oWwDyVVFJJJZVUUkkllVT+a7yIbN26NQNcQ/j3DhhN7MG9vG/btm1Zr+Oaf3f8nd29OxZq1zdv3ixFUcCS/wZh+jdt2iS5/wePHKmkZf/fKmnbT8v+2yhpu0/L/9sqW8xOL2ZF/M8D7IoVK5YBsfy7UuQJINu9vC/b9cqVK2eAadznv4Pru3t3LNCwQxYuXCj/zTJ79uyvOwnfWknLPi3/b6ukbT8t+2+rpG3/6xPgtmrw0vRtAdgNGzZU93jgYeebSyrQNQBsa8BlUHTvqlWrMs7hb1I7sl2vX7++XuO7ybMmbYTXsz2bJDVr1pRWrVopME81wKmkkkoqqaSSSirfPIHmGuAauG1vyDcWYHfq1EmBNQwVaaA4btw46datWxngCt/WDz/8sPqzZkjd8ePHy+WXXx6u49lTTz1V/4ZRIw6cB4CGwSOuE2DjN84BoPfs2VMNHsHHbgTn/3Yd55MEaQZHO5VUUkkllVRSSSWVb67sDc015RtLsgU945RTTpGbb75ZfU4PGzZMA818//vfD1pm8qePOeYY9W39u9/9TrdZ8D+408cee6xeP/vsszU4zAsvvKDeSa677jo59NBDpXnz5uE6As2MHj1aj3vuuSd8B/cgyM21116rz+Id8Jn9ve9972srm1RSSSWVVFJJJZVUvrmSA1998g0VgGQA7HfeeUdXGRdddJGcf/75eq1Dhw5y++23B600QDiC0cyZM0ev3XLLLdK5c+fwLgSgQRCZ9evXy6BBg+S2225TLyUQGCMiqA3uycvLk9NPP11+/vOfB7d/q1ev1kA1I0eOVGrIT3/6UznhhBO+ljJJJZVUUkkllVRSSeWbLd9ogJ3K/5/AGBMLkF//+tfSv39/Pbdo0SL9G9Qb0GAQih4a+lT2TflDFixYICeeeGIaDXQflz3a/B133CEzZ85U+tfFF18sZ5xxxt5MRirl9INU9p7AjSx2cj/55BO1BzruuOPkZz/7WTDkT2XvCsb4W2+9Vamq4Peee+65Ot6ksm8FEb7r1Kmj4/7XId9Yikgq/38C4j4G1M8//zycw1rqiiuuUD/fL730kpx88skaPn7JkiVpce+D8oeA+3/ZZZcFbzOp7JuyB6XskksukX79+snLL78sV199te5iffDBB2kVfA39IJW9Jxjn0b6xA/z000/LH//4R3n//fflT3/6U1rs+8hwDsAOO+QYa7Cb/re//U1ee+21tPz3obz++usyfPhw+TolBdj/gwIe+ne/+90yrgKhzYAGGyvrtm3bKtCDsSbAdip7v/xhRwBNXuxXPZV9U/ZYWALswcvP8ccfrzYe6aS37+silb0rc+fO1d0aUCj3228/dRIAwA3boVT2vsDLGJw0gN6KseaQQw6RAw44QJ0jpLJvBMEIQfuFU4yvU1KA/T8oY8aM0a3Y5557LuM8wr6Dl16lSpWMsO8MKY+tXAzKBx10kHTp0kUGDx6c8Q78/eKLL8ppp50m3bt3lwsvvFA9rFx11VXqkQUa8VRTlb38oS398Y9/rHz+WNKy37ttH20abTsWBFSCXH/99fLb3/5WPQ+hbQN8Y3uXAruON998Uw2n0dYB1LFYhTE0/j7nnHPS6K57WBewdaFhea9evdTgHMbjlPPOO0/++c9/ygUXXKB1AZsYbLmDYoL7jzrqKH13KskCO6F//OMfISKxb+tp2e99Af0MuwWwG8NuAoD12LFjdfcsLf99I3feeafikXbt2oVzf/nLX9R+7oYbbtAx++ijj5Z33313r+KbFGD/Dwome3Cr4Ynly4SUf+ihhxQEoiG+9dZbCjKwje79gGPggAHov/71L5k2bZp85zvfkYEDB2rDxPfuvfde+bZLtvIHgDvrrLMSn0nLfu+WPVxweteaMFzGFiI0S5Rnn31WB2Rs6/bt21e3edesWROuw0gaXL6///3vangNkIgDz6FvwVVoKruvC8jkyZNl+vTpCr5BU8M2+scffxyuP/DAA6r9BiDZuHGjgmwARowz0MqiL6WSLIgTgQWlpyw89dRTMmDAgLTs97EAtKEfYGEIQAdJ2/7elVGjRsmnn34qP/rRj8pcGzp0qC56MK4ASGNnxwf4+arxTQqwv0Wyu7DvHTt2VMMYABG4J4Q2b+fOnTJ//vxwPygOaHBdu3bVARuTHUAG/j/ppJN0ezKVLy9p2e87gXtPaCUA2M4888xwHuD6mmuuUfoUtBwwTnrjjTfCdXgwgiYD7R5bwOgH0GjjN7Sq8+bN24e5+O8WeGjCFm779u0VPIOy8/zzz4frhx12mJYt6uSII45QbSAmQ9QNgHc6zuy5/OEPf1CwAO1dWvb7VrAof/DBB3UxyR20tO3vXZsPeJP7zW9+kxhtG2M6KbJQoGDh4ymyXzW+SQH2t0h2F/YdExkaKLR0aHxYfdONIYW+wyF4rmnTphl/A5Cn8uUlLft9I5s3b1bbAywaoYn22tXevXuH3whmBToV3H7uaduP+1Yq2aVly5YZAbkwofmyZtAvli08HtFtajrOfDlw/fjjj+v/WMykZb9vBRxgLBaxYMdOF+bHtO3vPbn//vt1LPE7OF5wzSsZ43Hnq8Y3KcD+FsnuQsrD2hwBdRCNEvSQmDsJgZ9wL2k4+K9G0rLf+wIOKnzpg0cH0AEDJC9o916wsPTtO237X53srqzj6+k48+UF9L5HH31UwTXpCWnZ733BnAqjai/YiQE4wxiUtv29J6D9oeyhmcYBI3Yc+P11jPHf2FDpqXz1gu1tcH2xRU6tNQwwYOgIwQobls+MgEluUuoqfe9LWvZ7V8BDBdf3iy++kCeffFK3CGPBNq4feBG5FQZ4qXz1AqNF7CZUrVpV/54yZUrQsKby1WjyMKaAM4pIx2nZ7zvBGIOxBi7ioNRi+4Y/ZrjuS9v+3hOM7YWFheFvGFJDQP179dVXNQYC5gICZ9QLjE/3lqQa7G+RoCE1btxYt6ugxQPYRgRMcCAhtWrVUn+p8I4AIwGElIekW997X9Ky37sCI5XRo0ercRyMwGCUiAPunCjwTPHII48ozw62CLBZiMFJKl+NbNmyJUTeBfcaRtUwBkvl/19Qpn/961/V7zuUJ2zrONKy3ze0EHjhgoEvlFQA2thFgE1TWv57V0DpAAWHBxbwOPAbAmyDusAYD9/kU6dODfhnb0iqwf4WCbY/MPDCTRzI/Gh0sNYHvxHy+9//XjXYMDjCyhtR7vAMNHsHH3zw1538/2lJy37vyttvv62aC/Cv40UntB4Q2BzAVzwsycG/xvY6wHgqX71goQ93cpjc8D8mPe6kpfL/J3A9hh0YAAgcXmBol5b9vplnQdGBETXsPOB6Ei494aEoLf+vdxcfnqFAgQVFEEpGz7v+qiUNlZ5KKql86wV+sCFfV0jdb5PARRYoDO+9997XnZRvnaRln5b/t1X+8pe/6C4lFSr7QlKKSCqppJJKKqmkkkoqqXyFkgLsVFJJJZVUUkkllVRS+QolpYikkkoqqaSSSiqppJLKVyipBjuVVFJJJZVUUkkllVS+QkkBdiqppJJKKqmkkkoqqXyFkgLsVFJJJZVUUkkllVRS+QolBdippJJKKqmkkkoqqaTyFUoKsFNJJZVUUkkllVRSSeUrlBRgp5JKKql8A6RDhw7y85//PDE4CKJM7g354IMP5OSTT5ZevXrJiSeeqFEAKSUlJRqcAVFc+/btKz/5yU80CtqeyoQJE+Sss87Sdx999NHywgsvZFwfOXKknHDCCRpdDVHuEMY4SX71q19pOrzs2LFDbrnlFk3XwIED5d5779X0ppJKKql8UyQF2Kmkkkoq3xAZMmSIjBo1ap98a8aMGXLllVfKaaedJq+88oqC4R//+Md6HvLcc8/Jiy++KHfffbc8/fTTsmLFCrnxxhv36N0rV66USy65REPRIzz01VdfraGjAeghS5YskSuuuEJOPfVU/UadOnXkRz/6URmQ/PDDD5cB5pDf/va3CtD/+c9/yj333CPPP/+8pjeVVFJJ5ZsiKcBOJZVUUvmGSNOmTeXWW29VDe2+APMDBgxQ7XHLli3le9/7nvTv31/efPNNvT58+HA57rjjFCS3b99eLr74Yvnkk0/26N3Dhg2TevXqyc9+9jNp1aqVHH/88XLKKafIa6+9ptcBmrt27SoXXnih7LfffnL77bfL4sWLNZQxZNOmTQrKAbAbN26c8e5169bJSy+9pIC9e/fucsABB+h7Jk6c+JWXUSqppJLK/1VSgJ1KKqmk8g0R0DCWL1+umtlssmzZMtU0A/gCEEObC0BeXFwsBx10kIJPCjTCoHj85z//KfOe73znO3LNNdeUOb9x40b9v1atWqpxRnq2bdsmr7/+unTq1GmP8oF0ADTHAuAMARju06dPOF+5cmXp0qWL0kogX3zxhWzfvl3pMc2bN894x7hx46RatWqaf8qll16a+L1UUkklla9LUoCdSiqppPINkYYNG6rm9sEHH0zkJANI/+AHP5CtW7fKk08+KX/6058UBN91112Sm5srxxxzjAwdOjTcD8AKje/hhx9e5l1t27aVjh07hr8///xzpadAIwwBhSM/P18Beu/eveXTTz9VrvOeSLNmzaRnz57h79WrVytA57tBIWnQoEHGM3Xr1tXFAwTp+vvf/67viQXlAk0/aC3IL/L2wAMP6AIjlVRSSeWbIinATiWVVFL5Bsl5552nlI3f/e53Za599NFHqlH+wx/+oEaRAKy/+c1v5JlnnpHNmzcrFWPEiBFBU/z222/LIYccohrf8gTGi1dddZUCaYJxUDYqVaqkYB9gvlGjRvLLX/7yS+cH2m+8G5SRM888U89hgVBQUJBxH/7eE2rMli1bZMGCBfLss8+q1voXv/iFpu+xxx770mlLJZVUUtlbkgLsVFJJJZVvkOTl5cnNN9+smmlwmb3MmTNHOc01a9YM5wCKCwsLZeHChao1rl+/vvKnIe+8847yqMuTVatWqVYcdJL77rtPNeH4DeB6wQUXyGGHHSb777+/asthWPhluM4A/ZdddpnMnz9fNdKggkAqVqxYBkzjb14vT6BVxwICxo3wUHLUUUfJ5Zdfnho5ppJKKt8oSQF2Kqmkkso3TACa4d0DWmxoeykAprEUFRVl/A9ADc31lClTZO3atXLooYdm/Q604TBuBLh94okn1JsHNdpLly5VLTkFxoa1a9dWzfaeCEDwRRddpNSTxx9/XBcGngoDYO8Ff2NxsDvBPSgH0EQorVu31vSmkkoqqXxTJAXYqaSSSirfQIEBIugQ3uARQBLaYPCqPc8aWt0WLVro36SJAGTDf3Y2rTDeDc8g0Fg/9dRTCnop0JCDsgGNOQWgG99N4kXHAj40XADCWBH0DXgK8QLf1zBWpGARMW3aND2/O8E9MICcN29eODd37twMwJ1KKqmk8nVLCrBTSSWVVL6BAm0xQLbXGA8aNEi9alx33XUyc+ZMdZsHd3UI2FKjRg29B54+YEAI0HzsscdmfT8oG6CV3HnnncHwEAe8iACww0c1ro0dO1ZmzZol1157rYLbbt266f0A2/Q4Egt8W48ePVo9nCBdfDcXBtDOjx8/Xh566CHVcN9www0K3OEVZXfSpk0b1crjGfjsBi8d7zn77LO/ZAmnkkoqqew9ySlJw1+lkkoqqXztAjoGaBoeZGJ4BnBEkJf33nsveNEAqAaArVq1qkZghL9pTx9B5EPQMsCZjo0JKfDA4bXA3n3fHXfcoVpi8K7h/QO/ETHx17/+daCRwBgTWmPcGwuoIR9//HGZ83CtB402BDzx3//+9+o5BFxq5Cl2ycfv4DkYSlIA7HE/PKZAQ3/OOeeo15OcnJzdlnMqqaSSyr6QFGCnkkoqqaTypQVAH4FgEBgnlVRSSSWVTEkpIqmkkkoqqXxpATccWvBUUkkllVTKSqrBTiWVVFJJ5UvLzp07pUKFCmnJpZJKKqkkSAqwU0kllVRSSSWVVFJJ5SuUlCKSSiqppJJKKqmkkkoqX6GkADuVVFJJJZVUUkkllVS+QkkBdiqppJJKKqmkkkoqqXyFkgLsVFJJJZVUUkkllVRS+QolBdippJJKKqmkkkoqqaTyFUoKsFNJJZVUUkkllVRSSeUrlBRgp5JKKqmkkkoqqaSSylcoKcBOJZVUUkkllVRSSSUV+erk/wE9NEBpAdzPNQAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 4.5))\n", "\n", "# data plot\n", "plt.subplot(211)\n", "plt.plot(np.arange(1, 390), log_returns, c='r')\n", "\n", "plt.ylabel('log-returns')\n", "plt.xticks([30, 90, 150, 210, 270, 330, 390], \n", " ['10am', '11am', '12pm', '1pm', '2pm', '3pm', '4pm'])\n", "plt.yticks([-0.001, -0.0005, 0, 0.0005, 0.001])\n", "plt.xlim([0, 390])\n", "\n", "# parameter plot\n", "plt.subplot(212)\n", "S.plot('sigma', color='r')\n", "\n", "plt.xticks([28, 88, 148, 208, 268, 328, 388], \n", " ['10am', '11am', '12pm', '1pm', '2pm', '3pm', '4pm'])\n", "plt.xlabel('Nov 28, 2016')\n", "plt.ylim([0, 0.00075])\n", "plt.xlim([-2, 388]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the volatility estimates of the first few trading minutes are not as accurate as later ones, as we initialize the algorithm with a non-informative prior distribution. One could of course provide a custom prior distribution as a more realistic starting point. Despite this *fade-in* period, the period of increased volatility after market open is captured nicely, as well as the (more subtle) increase in volatility during the last 45 minutes of the trading day. Large individual log-return values also result in an *volatility spikes* (around 10:30am and more subtle around 12:30pm).\n", "\n", "## Islands of stability\n", "\n", "The persistent random walk model does not only provide information about the magnitude of price fluctuations, but further quantifies whether subsequent log-return values are correlated. A positive correlation coefficient indicates diverging price movements, as a price increase is more likely followed by another increase, compared to a decrease. In contrast, a negative correlation coefficient indicates *islands of stability*, i.e. trading periods during which prices do not diffuse randomly (as with a corr. coeff. of zero). Below, we plot the price evolution of SPY on November 28, together with the inferred marginal distribution (shaded blue) and the corresponding mean value (black line) of the time-varying correlation coefficient." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-04-27T19:26:15.502237Z", "iopub.status.busy": "2026-04-27T19:26:15.502137Z", "iopub.status.idle": "2026-04-27T19:26:15.586204Z", "shell.execute_reply": "2026-04-27T19:26:15.585764Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 4.5))\n", "\n", "# data plot\n", "plt.subplot(211)\n", "plt.plot(prices)\n", "\n", "plt.ylabel('price [USD]')\n", "plt.xticks([30, 90, 150, 210, 270, 330, 390], \n", " ['10am', '11am', '12pm', '1pm', '2pm', '3pm', '4pm'])\n", "plt.xlim([0, 390])\n", "\n", "# parameter plot\n", "plt.subplot(212)\n", "S.plot('rho', color='#0000FF')\n", "\n", "plt.xticks([28, 88, 148, 208, 268, 328, 388], \n", " ['10am', '11am', '12pm', '1pm', '2pm', '3pm', '4pm'])\n", "plt.xlabel('Nov 28, 2016')\n", "plt.ylim([-0.4, 0.4])\n", "plt.xlim([-2, 388]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a correlation coefficient that deviates significantly from zero would be immediately exploitable to predict future price movements, we mostly find correlation values near zero (in accordance with the efficient market hypothesis). However, between 1:15pm and 2:15pm, we find a short period of negative correlation with a value around -0.2. During this period, subsequent price movements tend to partially cancel each other out, resulting in an unusually strong price stability.\n", "\n", "Using the stored marginal parameter distributions, we can evaluate the probability that subsequent return values are negatively correlated. In the figure below, we tag all time steps with a probability for `rho < 0` of 80% or higher and find that this indicator nicely identifies the period of increased market stability!\n", "\n", "
\n", "**Note:** The arbitrary threshold of 80% for our market indicator is of course chosen with hindsight in this example. In a real application, more than one trading day of data needs to be analyzed to create robust indicators!\n", "
" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-04-27T19:26:15.587315Z", "iopub.status.busy": "2026-04-27T19:26:15.587218Z", "iopub.status.idle": "2026-04-27T19:26:15.649150Z", "shell.execute_reply": "2026-04-27T19:26:15.648745Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# extract parameter grid values (rho) and corresponding prob. values (p)\n", "rho, p = S.get_parameter_distributions('rho', density=False)\n", "\n", "# evaluate Prob.(rho < 0) for all time steps\n", "p_neg_rho = np.sum(p[:, rho < 0.], axis=1)\n", "\n", "# plotting\n", "plt.figure(figsize=(8, 4.5))\n", "plt.subplot(211)\n", "plt.axhline(y=0.8, lw=1.5, c='g')\n", "plt.plot(p_neg_rho, lw=1.5, c='k')\n", "plt.fill_between(np.arange(len(p_neg_rho)), 0, p_neg_rho > 0.8, lw=0, facecolor='g', alpha=0.5)\n", "\n", "plt.xticks([28, 88, 148, 208, 268, 328, 388], \n", " ['10am', '11am', '12pm', '1pm', '2pm', '3pm', '4pm'])\n", "plt.ylabel('prob. of neg. corr.')\n", "plt.xlim([-2, 388])\n", "\n", "plt.subplot(212)\n", "plt.plot(prices)\n", "plt.fill_between(np.arange(2, len(p_neg_rho)+2), 220.2, 220.2 + (p_neg_rho > 0.8)*1.4, lw=0, facecolor='g', alpha=0.5)\n", "plt.ylabel('price [USD]')\n", "plt.xticks([30, 90, 150, 210, 270, 330, 390], \n", " ['10am', '11am', '12pm', '1pm', '2pm', '3pm', '4pm'])\n", "plt.xlim([0, 390])\n", "plt.ylim([220.2, 221.6])\n", "plt.xlabel('Nov 28, 2016');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Automatic tuning\n", "\n", "One major advantage of the `OnlineStudy` class is that it not only infers the time-varying parameters of the *low-level* correlated random walk (the observation model `ScaledAR1`), but further infers the magnitude (the standard deviation of the transition model `GaussianRandomWalk`) of the parameter fluctuations and thereby tunes the parameter dynamics as new data arrives. As we can see below (left sub-figures), both magnitudes - one for `rho` and one for `sigma` - start off at a high level. This is due to our choice of a uniform prior, assigning equal probability to all hyper-parameter values before seeing any data. Over time, the algorithm *learns* that the true parameter fluctuations are less severe than previously assumed and adjusts the hyper-parameters accordingly. This newly gained information, summarized in the hyper-parameter distributions of the last time step (right sub-figures), could then represent the prior distribution for the next trading day." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-04-27T19:26:15.650379Z", "iopub.status.busy": "2026-04-27T19:26:15.650287Z", "iopub.status.idle": "2026-04-27T19:26:15.879438Z", "shell.execute_reply": "2026-04-27T19:26:15.878983Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 4.5))\n", "plt.subplot(221)\n", "S.plot('s1', color='green')\n", "plt.xticks([28, 88, 148, 208, 268, 328, 388], \n", " ['10am', '11am', '12pm', '1pm', '2pm', '3pm', '4pm'])\n", "plt.xlabel('Nov 28, 2016')\n", "plt.xlim([-2, 388])\n", "plt.ylim([0, 0.06])\n", "\n", "plt.subplot(222)\n", "S.plot('s1', t=388, facecolor='green', alpha=0.7)\n", "plt.yticks([])\n", "plt.xticks([0, 0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08], ['0', '1', '2', '3', '4', '5', '6', '7', '8'])\n", "plt.xlabel(r's1 ($\\cdot 10^{-2}$)')\n", "plt.xlim([-0.005, 0.08])\n", "\n", "plt.subplot(223)\n", "S.plot('s2', color='green')\n", "plt.xticks([28, 88, 148, 208, 268, 328, 388], \n", " ['10am', '11am', '12pm', '1pm', '2pm', '3pm', '4pm'])\n", "plt.xlabel('Nov 28, 2016')\n", "plt.xlim([-2, 388])\n", "plt.ylim([0, 0.0001])\n", "\n", "plt.subplot(224)\n", "S.plot('s2', t=388, facecolor='green', alpha=0.7)\n", "plt.yticks([])\n", "plt.xticks([0, 0.00001, 0.00002, 0.00003], ['0', '1', '2', '3'])\n", "plt.xlabel(r's2 ($\\cdot 10^{-5}$)')\n", "plt.xlim([0, 0.00003])\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Real-time model selection\n", "\n", "Finally, we investigate which of our two market scenarios - *normal* vs. *chaotic* - can explain the price movements best. Using the method `plot('chaotic')`, we obtain the probability values for the *chaotic* scenario compared to the *normal* scenario, **with respect to all past data points**: " ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-04-27T19:26:15.880634Z", "iopub.status.busy": "2026-04-27T19:26:15.880536Z", "iopub.status.idle": "2026-04-27T19:26:15.908999Z", "shell.execute_reply": "2026-04-27T19:26:15.908635Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'p(\"chaotic\")')" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 2))\n", "S.plot('chaotic', lw=2, c='k')\n", "plt.xticks([28, 88, 148, 208, 268, 328, 388], \n", " ['10am', '11am', '12pm', '1pm', '2pm', '3pm', '4pm'])\n", "plt.xlabel('Nov 28, 2016')\n", "plt.xlim([0, 388])\n", "plt.ylabel('p(\"chaotic\")')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As expected, the probability that the *chaotic* scenario can explain all past log-return values at a given point in time quickly falls off to practically zero. Indeed, a correlated random walk with slowly changing volatility and correlation of subsequent returns is better suited to describe the price fluctuations of SPY **in the majority of time steps**.\n", "\n", "However, we may also ask for the probability that each **individual** log-return value is produced by either of the two market scenarios by using the keyword argument `local=True`:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-04-27T19:26:15.910113Z", "iopub.status.busy": "2026-04-27T19:26:15.910031Z", "iopub.status.idle": "2026-04-27T19:26:15.937604Z", "shell.execute_reply": "2026-04-27T19:26:15.937151Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 2))\n", "S.plot('chaotic', local=True, c='k', lw=2)\n", "plt.xticks([28, 88, 148, 208, 268, 328, 388], \n", " ['10am', '11am', '12pm', '1pm', '2pm', '3pm', '4pm'])\n", "plt.xlabel('Nov 28, 2016')\n", "plt.xlim([0, 388])\n", "plt.ylabel('p(\"chaotic\")')\n", "plt.axvline(58, 0, 1, zorder=1, c='r', lw=1.5, ls='dashed', alpha=0.7)\n", "plt.axvline(178, 0, 1, zorder=1, c='r', lw=1.5, ls='dashed', alpha=0.7);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, we find clear peaks indicating an increased probability for the *chaotic* scenario, i.e. that previously gained information about the market dynamics has become useless. Let's assume that we are concerned about market behavior as soon as there is at least a 1% risk that *normal* market dynamics cannot describe the current price movement. This leaves us with three distinct events at the following stored time indices:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-04-27T19:26:15.938702Z", "iopub.status.busy": "2026-04-27T19:26:15.938621Z", "iopub.status.idle": "2026-04-27T19:26:15.940865Z", "shell.execute_reply": "2026-04-27T19:26:15.940563Z" } }, "outputs": [ { "data": { "text/plain": [ "array([[ 59],\n", " [181],\n", " [382]])" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p = S.get_transition_model_probabilities('chaotic', local=True)\n", "np.argwhere(p > 0.01)" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "These time steps translate to the following trading minutes: **10:31am, 12:33pm and 3:54pm**.\n", "\n", "The first peak at 10:31am directly follows the release of the [Texas Manufacturing Outlook Survey](http://www.dallasfed.org/news/releases/2016/nr161128.cfm) of the [Dallas Fed](http://www.dallasfed.org/). The publication of this set of economic indicators has already been announced by [financial news pages](http://finance.yahoo.com/news/10-things-know-opening-bell-113600334.html) before the market opened. While the title of the survey (*\"Texas Manufacturing Activity Continues to Expand\"*) indicated good news, investors reacted sceptically, possibly due to negative readings in both the *new orders index* and *growth rate of orders index* (c.f. [this article](http://247wallst.com/economy/2016/11/29/better-news-for-manufacturing-activity-in-texas/)).\n", "\n", "
\n", "**Note:** This first peak would be more pronounced if we had supplied a prior distribution that constrains strong parameter fluctuations!\n", "
\n", "\n", "The underlying trigger for the second peak, shortly after 12:30pm, remains unknown. No major macroeconomic indicators were published at that time, at least according to some economic news sites (see e.g. [nytimes.com](http://markets.on.nytimes.com/research/economy/indicators/indicators.asp?monthOffset=-3) or [liveindex.org](https://liveindex.org/46172/2016/11/us-pre-market-news-28-nov-2016/)).\n", "\n", "The last peak at 3:54pm is likely connected to the imminent market close at 4pm. To protect themselves from unexpected news after trading hours, market participants often close their open positions before market close, generally leading to an increased volatility. If large market participants follow this behavior, price corrections may no longer be explained by *normal* market dynamics.\n", "\n", "This example has shown that *bayesloop*'s `OnlineStudy` class can identify periods of increased volatility as well as periods of increased price stability (accompanied by a negative correlation of subsequent returns), and further automatically tunes its current assumptions about market dynamics. Finally, we have demonstrated that *bayesloop* serves as a viable tool to detect *\"anomalous\"* price corrections, triggered by large market participants or news announcements, in real-time." ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.4" } }, "nbformat": 4, "nbformat_minor": 0 }