{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Lab 2-4: Monte Carlo Tests & Random Numbers\n", "\n", "## Generating Random Numbers from a Given Probability Distribution" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Given any distribution for which we have a CDF available as a closed form expression, or simple lookup table (made when we create an empirical CDF), we can use the following approach to generate random numbers from that distribution.\n", "\n", "A basic approach for generating a sample of n random numbers from a desired probability distribution:\n", "\n", "1. Generate n random numbers from a uniform distribution on the interval [0,1]. (e.g. by using `np.random.uniform`) Recall that a CDF always ranges from 0 to 1 for a set of numbers, this first set of numbers we've generated from a uniform distribution are quantile values.\n", "\n", "2. Map the quantile values we just generated to the quantile value from the CDF of the desired distribution. (e.g. as a lookup table, or with a function like [`np.quantile`](https://numpy.org/doc/stable/reference/generated/numpy.quantile.html#numpy.quantile))\n", "\n", "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Start by importing the python libraries we'll need, and load our data file for the Skykomish river annual peak flow values." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import scipy.stats as st\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/conda/lib/python3.10/site-packages/openpyxl/worksheet/_read_only.py:81: UserWarning: Unknown extension is not supported and will be removed\n", " for idx, row in parser.parse():\n" ] }, { "data": { "text/html": [ "
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date of peakwater yearpeak value (cfs)gage_ht (feet)
01928-10-0919291880010.55
11930-02-0519301580010.44
21931-01-2819313510014.08
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" ], "text/plain": [ " date of peak water year peak value (cfs) gage_ht (feet)\n", "0 1928-10-09 1929 18800 10.55\n", "1 1930-02-05 1930 15800 10.44\n", "2 1931-01-28 1931 35100 14.08" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "skykomish_data_file = '../data/Skykomish_peak_flow_12134500_WY1929_2023.xlsx'\n", "skykomish_data = pd.read_excel(skykomish_data_file)\n", "# preview the dataframe\n", "skykomish_data.head(3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Divide the data into the early period (before 1977) and late period (after and including 1977)." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "skykomish_before = skykomish_data[ skykomish_data['water year'] < 1977 ] \n", "skykomish_after = skykomish_data[ skykomish_data['water year'] >= 1977 ] " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define our cunnane plotting functions that work with our pandas dataframes, or generic 1d numpy arrays or lists." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "### Method 1\n", "# This function requires that the input is a pandas dataframe, with column names, and an integer index\n", "# It returns a copy of the dataframe with an extra column added that has the Cunnane plotting positions\n", "def cunnane_quantile(df, column_name):\n", " '''This function will compute the Cunnane plotting position for the values in a column of a dataframe.\n", " It requres a pandas dataframe, and the column name of interest (a text string) as inputs.\n", " The output is a new dataframe, ranked (sorted) with an extra column with the plotting position.\n", " [Steven Pestana, spestana@uw.edu, Oct. 2020]'''\n", " \n", " # Rank all our values\n", " ranked_df = df.sort_values(by=[column_name]).reset_index()\n", " \n", " # Calculate the Cunnane plotting position\n", " ranked_df['cunnane_plotting_position'] = ((ranked_df.index + 1) - (2/5)) / (ranked_df[column_name].count() + (1/5))\n", " \n", " return ranked_df\n", "\n", "### Method 2\n", "# This function should be able to accept any one-dimensional numpy array or list, of numbers\n", "# It returns two numpy arrays, one of the sorted numbers, the other of the plotting position\n", "def cunnane_quantile_array(numbers):\n", " '''This function also computes the Cunnane plotting position given an array or list of numbers (rather than a pandas dataframe).\n", " It has two outputs, first the sorted numbers, second the Cunnane plotting position for each of those numbers.\n", " [Steven Pestana, spestana@uw.edu, Oct. 2020]'''\n", " \n", " # 1) sort the data, using the numpy sort function (np.sort())\n", " sorted_numbers = np.sort(numbers)\n", " \n", " # length of the list of numbers\n", " n = len(sorted_numbers) \n", " \n", " # make an empty array, of the same length. below we will add the plotting position values to this array\n", " cunnane_plotting_position = np.empty(n)\n", " \n", " # 2) compute the Cunnane plotting position for each number, using a for loop and the enumerate function\n", " for rank, number in enumerate(sorted_numbers):\n", " cunnane_plotting_position[rank] = ( (rank+1) - (2/5) ) / ( n + (1/5) )\n", " \n", " return sorted_numbers, cunnane_plotting_position" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Create the empirical CDFs with the Cunnane plotting position for our before and after 1977 datasets." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Use the cunnane quantile function for before 1977\n", "skykomish_before_b = cunnane_quantile(skykomish_before, 'peak value (cfs)')\n", "\n", "# Use the cunnane quantile function for after 1977\n", "skykomish_after_a = cunnane_quantile(skykomish_after, 'peak value (cfs)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the CDFs together." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8,6))\n", "\n", "# Empirical CDF, Before 1977\n", "ax.plot(skykomish_before_b['peak value (cfs)'], skykomish_before_b['cunnane_plotting_position'], \n", " color='tab:blue', linestyle='-', label='Empirical CDF, Before 1977')\n", "\n", "# Empirical CDF, After 1977\n", "ax.plot(skykomish_after_a['peak value (cfs)'], skykomish_after_a['cunnane_plotting_position'], \n", " color='tab:orange', linestyle='--', label='Empirical CDF, After 1977')\n", "\n", "# Add legend and labels\n", "ax.legend()\n", "ax.set_ylabel('Cumulative Probability')\n", "ax.set_xlabel('Peak Flow (cfs)')\n", "ax.set_title('Skykomish River, Annual Peak Streamflow CDF');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "\n", "**Step 1**: Generate n random numbers from a uniform distribution on the interval [0,1]. (e.g. by using `np.random.uniform`). These are quantile values." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "# we want to use the same size size, or length, of the peak flow dataset before 1977\n", "size = len(skykomish_before_b['peak value (cfs)']) \n", "\n", "# generate the random quantile values\n", "random_quantiles = np.random.uniform(0,1,size)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Step 2**: Map the randomly generated quantile values to the quantile values from the empirical CDF of the \"before 1977\" data. We can use [`np.quantile`](https://numpy.org/doc/stable/reference/generated/numpy.quantile.html#numpy.quantile) here.\n", "\n", "This generates new \"peak flow\" values, drawn from the empirical CDF." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "random_peak_flows = np.quantile(skykomish_before['peak value (cfs)'].values, random_quantiles)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Step 3**: Now make a CDF from our generated random peak flow data." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "random_peak_flows_sorted, random_peak_flows_quantiles = cunnane_quantile_array(random_peak_flows)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can plot the results to visualize what we just did:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8,6))\n", "\n", "# Empirical CDF, Before 1977\n", "ax.plot(skykomish_before_b['peak value (cfs)'], skykomish_before_b['cunnane_plotting_position'], \n", " color='tab:blue', linestyle='-', marker='o', label='Original Points Defining Empirical CDF')\n", "\n", "\n", "ax.plot(random_peak_flows_sorted,random_peak_flows_quantiles,'kx--', label='Randomly Generated from Empirical CDF')\n", "\n", "# Add legend and labels\n", "ax.legend()\n", "ax.set_ylabel('Cumulative Probability')\n", "ax.set_xlabel('Peak Flow (cfs)')\n", "ax.set_title('Skykomish River, Annual Peak Streamflow (before 1977) CDF\\nAnd Random Peak Streamflows Generated from CDF');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also plot the original histogram of the before 1977 data, and our randomly generated values from the CDF:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot histograms\n", "\n", "fig, [ax1, ax2] = plt.subplots(nrows=1, ncols=2, figsize=(15,3))\n", "nbins = 15\n", "\n", "ax1.hist(skykomish_before_b['peak value (cfs)'].values, nbins, ec=\"black\")\n", "ax1.set_title('Original Peak Flow Data')\n", "ax1.set_xlabel('Peak Flows (cfs)')\n", "ax1.set_ylabel('Count')\n", "ax1.ticklabel_format(axis='x', style='sci', scilimits=(0,0))\n", " \n", " \n", "ax2.hist(random_peak_flows, nbins, ec=\"black\")\n", "ax2.set_title('Random Peak Flows, Generated from CDF')\n", "ax2.set_xlabel('Peak Flow (cfs)')\n", "ax2.set_ylabel('Count')\n", "ax2.ticklabel_format(axis='x', style='sci', scilimits=(0,0))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How do the shapes of the two distributions compare?\n", "\n", "What are the mean and standard deviation of these two samples (the original sample, and our randomly generated sample)?" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Original sample:\n", "\tmean = 40935.0\n", "\tstd = 19872.0\n", "\n", "Generated sample:\n", "\tmean = 45185.0\n", "\tstd = 20465.0\n" ] } ], "source": [ "original_sample_mean = skykomish_before_b['peak value (cfs)'].mean()\n", "original_sample_std = skykomish_before_b['peak value (cfs)'].std()\n", "print(\"Original sample:\\n\\tmean = {m}\\n\\tstd = {s}\".format(m=np.round(original_sample_mean,0), s=np.round(original_sample_std,0)))\n", "\n", "generated_sample_mean = random_peak_flows.mean()\n", "generated_sample_std = random_peak_flows.std()\n", "print(\"\\nGenerated sample:\\n\\tmean = {m}\\n\\tstd = {s}\".format(m=np.round(generated_sample_mean,0), s=np.round(generated_sample_std,0)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Monte Carlo Tests\n", "\n", "We can use these steps to generate 100s of random samples from the empirical CDF. This is like pretending that we have many more measurements than were actually taken. By looking at a large collection of random samples from the empirical CDF, we can then compare their mean and standard deviation to that of the after-1977 period, to determine the liklihood that the after-1977 peak flow values could have come from the same underlying \"true\" distribution." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Generate 500 random samples (repeat Step 1 500 times). **Step 1**: Generate n random numbers from a uniform distribution on the interval [0,1]. (e.g. by using `np.random.uniform`). These are quantile values. Use n = the length of the after-1977 dataset, and assume they come from the Empirical CDF of the pre-1977 dataset." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(46, 500)" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# we want to use the same size size, or length, of the peak flow dataset after 1977,\n", "# but we also want to generate this 500 times, so we can specify that we want a 2D \"size\" of (x, y)\n", "# where x is the length of the dataset, and y is the number of times we want to make a new sample\n", "size = (len(skykomish_after_a['peak value (cfs)']), 500)\n", "\n", "# generate the random quantile values\n", "random_quantiles = np.random.uniform(0,1,size)\n", "\n", "# we can see the shape of the array we just made is 35 randomly generated numbers, 500 times\n", "random_quantiles.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(Repeat 500 times) **Step 2**: Map the randomly generated quantile values to the quantile values from the empirical CDF of the \"before 1977\" data. We can use [`np.quantile`](https://numpy.org/doc/stable/reference/generated/numpy.quantile.html#numpy.quantile) here. This generates new \"peak flow\" values, drawn from the empirical CDF.\n", "\n", "Then also create a new CDF for each of the 500 samples." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "# Create empty placeholder arraya of the same shape as the random quantiles\n", "random_peak_flows = np.empty(random_quantiles.shape)\n", "random_peak_flows_sorted = np.empty(random_quantiles.shape)\n", "random_peak_flows_quantiles = np.empty(random_quantiles.shape)\n", "\n", "# For each of the 500 samples...\n", "for i in range(random_quantiles.shape[1]):\n", " random_peak_flows[:,i] = np.quantile(skykomish_before['peak value (cfs)'].values, random_quantiles[:,i])\n", " random_peak_flows_sorted[:,i], random_peak_flows_quantiles[:,i] = cunnane_quantile_array(random_peak_flows[:,i])" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8,6))\n", "\n", "# All the randomly generated samples\n", "plt.plot(random_peak_flows_sorted,random_peak_flows_quantiles, alpha=0.1, color='grey');\n", "\n", "# Empirical CDF, Before 1977\n", "ax.plot(skykomish_before_b['peak value (cfs)'], skykomish_before_b['cunnane_plotting_position'], \n", " color='tab:blue', linestyle='-', marker='o')\n", "\n", "# Empirical CDF, After 1977\n", "ax.plot(skykomish_after_a['peak value (cfs)'], skykomish_after_a['cunnane_plotting_position'], \n", " color='tab:orange', linestyle='--', label='Empirical CDF, After 1977')\n", "\n", "\n", "# Add custom legend\n", "from matplotlib.lines import Line2D\n", "legend_elements = [Line2D([0], [0], color='grey', lw=1, label='500 x Randomly Generated from Before-1977 Empirical CDF'),\n", " Line2D([0], [0], color='tab:blue', lw=1, linestyle='-', marker='o', label='Before-1977 Empirical CDF'),\n", " Line2D([0], [0], color='tab:orange', linestyle='--', lw=1, label='After-1977 Empirical CDF'),]\n", "\n", "# Create the figure\n", "ax.legend(handles=legend_elements, loc='lower right')\n", "\n", "# Add labels\n", "ax.set_ylabel('Cumulative Probability')\n", "ax.set_xlabel('Peak Flow (cfs)')\n", "ax.set_title('Skykomish River, Annual Peak Streamflow (before 1977) CDF\\nAnd Random Peak Streamflows Generated from CDF');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In other words, we're interested in knowing how likely that the After-1977 sample came from the same distribution as the Before-1977 sample. We can use our randomly generated samples to represent the range of expected mean values we'd get from a sample that matches the Before-1977 CDF. \n", "\n", "(Does our orange line CDF, after-1977 come from the same underlying population CDF as represented by the blue line before-1977, and grey line random samples?)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute the means and standard deviations of each of the 500 random samples:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "# Using the numpy.mean and numpy.std functions, we can specify which axis we want to compute the mean and standard deviation along. \n", "# Here we choose the 0th axis, so that we compute across each of the 500 \"rows\" of data, which should leave us with 500 values\n", "random_peak_flows_means = random_peak_flows.mean(axis=0)\n", "random_peak_flows_stds = random_peak_flows.std(axis=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Testing for a change in the mean\n", "\n", "Now, using all these means, determine the mean peak flow value above which only 5% of a random set of numbers from the basic distribution would fall into.\n", "\n", "* Take the 500 values we just calculated, and use the Cunnane-quantile method to plot them on a CDF.\n", "* Then, look up what mean value corresponds to the 0.95 value on the CDF.\n", "* Finally, see how the mean of the After-1977 period compares to the 0.95 quantile value.\n" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "# Create a CDF of our means\n", "random_peak_flows_means_sorted, random_peak_flows_means_quantiles = cunnane_quantile_array(random_peak_flows_means)\n", "\n", "# Find the 95% quantile value\n", "q95 = np.quantile(random_peak_flows_means_sorted, 0.95)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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dO+bazldffZUlqfzwfNn93mXXVubvWE7XPHv2bIVryysZFuL937zsOj8+ToYz3yNHjhypcNyFCxcEAIX3qcy/DRcuXFA4tmzZsqJFixZZ2iJFHCZB+dagQQP4+Pjgzz//xI0bNxAcHJzjEIk9e/bAysoK7dq1Q3p6uvxRqVIlODk5Kcx88PjxY/Tu3RtOTk7Q1dWFvr4+GjRoAAC4c+eOwnklEgnatWunUObv74+nT58qdQ23bt2Cvr4+9PX14eLigl9++QV9+vTB77//Lo+7UaNGcHFxUYi7VatWADJuGMx07NgxNG3aFJaWlvK4p02bhujoaERFRSm0Gx0djcaNG+PixYvyr8SV5ePjg+DgYIXHjz/+mOPx9+7dw4sXL9CvXz+Fr7nNzMzQpUsXBAUFyb+CbdKkCR4/fozQ0FAkJyfjzJkzaNmyJRo1aoTDhw8DAI4cOQJDQ0PUrVsXAFCpUiUYGBhg2LBh+Ouvv7J8fZiT48ePAwD69OmjUN69e3fo6WV/O0OXLl2ylKWnp+N///sfypYtCwMDA+jp6cHAwAAPHjxQeL00bdpUHj8AHD58GM2aNUPTpk3l13b+/HkkJCTIj830qa+znDRu3BjW1tbynxMSEnDhwgV07dpV4UY7XV1d9OvXD+Hh4Vm+cv94ZhI/Pz8AQJs2bbKUKxNv69atERYWhh07dmD8+PEoV64cdu7cifbt22c77vngwYOoV68e6tevj8OHD8PGxka+z9zcHIMGDcK6devkw5yOHTuG27dvq3yuY8eOwdTUFF27dlWok/nV9NGjRxXKGzVqBFNT0yzPS6tWrRS+is4sz+25yfxqu3v37ti8eTOeP3+e47Ht27dX+Nnf31/h/EIIhfeSj4dbAVl/J3r37g3g/e8MkDH8oX379rC1tZW/3/Tv3x9SqRT3798HAPj6+sLa2hqTJk3CypUrcfv27Sxt7dmzBxKJBH379lWIycnJCRUrVpS/N58/fx7JyclZYqtduzY8PT1zfD5UIZQYUla9enXs378fkydPxokTJ5CUlKRyOx//3uUlp2v+8P/jc8g8/8fDL6pXrw4/P78sr3knJydUr15doawg3qeKAybDlG8SiQSDBg3C+vXrsXLlSpQqVQr16tXL9tiXL1/i7du3MDAwkCefmY/IyEi8fv0aQMZYwnr16uHChQuYPXs2Tpw4geDgYGzfvh0AsrzxmZiYwMjISKHM0NBQYcxZbjITy0uXLuHmzZt4+/Yt1q9fD0tLS3ncu3fvzhJz5hjazLgvXryI5s2bAwB+//13nD17FsHBwfj++++zjfv+/fu4cOECWrVqhfLlyysVayYjIyMEBAQoPLy9vXM8PrdxoC4uLpDJZIiJiQGgmDCeOXMGaWlpaNy4MZo2bSp/4z1y5Ajq1Kkjv9HLx8cHR44cgYODA7766iv4+PjAx8cHS5YsyfU6MuNycnJSKNfT04OtrW22dbK7hrFjx2Lq1Kno2LEjdu/ejQsXLiA4OBgVK1ZUeN49PT3lsSYmJuL8+fPyZDgzyTxy5AiMjY1Ru3ZthTY+9XWWk4+vJyYmBkKIHP+vgPfPW6YPE0YAMDAwyLFc2XiNjY3RsWNHzJ8/HydPnsTDhw9RtmxZ/Pbbb7h165bCsTt37kRSUhJGjBgBQ0PDLOf65ptv8O7dO/kMKMuWLYObmxs6dOiQ5djczhUdHQ0nJ6csYyodHBygp6f3Sc8LgFyfm/r162Pnzp1IT09H//794ebmhvLlyyvcM5Hp49du5nVkvhb/+uuvLO8nH8ru9Z/5O5J5jWFhYahXrx6eP3+OJUuW4PTp0wgODpaPlc1sy9LSEidPnkSlSpXw3XffoVy5cnBxccH06dPlY4tfvnwpH1P/cVxBQUHy97icfl9zKsuPzKQt87WenV9//RWTJk3Czp070ahRI9jY2KBjx4548OCB0u3kNCY+Jzld88evuYKW13v3x+1n975paGiYrw8MxQ1nk6BPMnDgQEybNg0rV67ETz/9lONxdnZ2sLW1xYEDB7LdnzkV27Fjx/DixQucOHFC3hsMQH4zU0HLTCxzYmdnB39//xyvLfNN+99//4W+vj727NmjkDTt3Lkz23q1atVCt27d8MUXXwDImH4rr5uT8ivzDTIiIiLLvhcvXkBHR0feS+Lm5oZSpUrhyJEj8PLyQkBAAKysrNCkSROMHDkSFy5cQFBQkMJMAwBQr1491KtXD1KpFJcuXcLSpUvx7bffwtHRET179sw1rsjISLi6usrL09PTc/wjk93MEevXr0f//v3xv//9T6H89evXsLKyUihr0qQJdu3ahZMnT0Imk6Fhw4YwNzeHi4sLDh8+jCNHjqBevXrZJnWfw8fXk3lDX07/V0DGa1LdPDw8MGzYMHz77be4deuWwg2VixYtwqZNm9CqVSvs2LFD/qEwk6+vL1q1aoXffvsNrVq1wn///YeZM2dCV1c3Szu5ncvW1hYXLlyAEELheYuKikJ6evpnf146dOiADh06ICUlBUFBQZgzZw569+4NLy8v1KpVS+nztGvXDsHBwTnuz3z9f5jYREZGAnj/O7Nz504kJCRg+/btCr2y2c1dW6FCBfz7778QQuD69etYt24dZs2aBWNjY0yePBl2dnaQSCQ4ffp0tq/7zLIPf18/FhkZqfK8zB8TQmD37t0wNTXN9T3Z1NQUM2fOxMyZM/Hy5Ut5L3G7du1w9+5dpdpSdQaanK7Z19dX/rORkVG2N9S+fv0636/ND9+7P55l4sWLFxp5Lyiq2DNMn8TV1RUTJkxAu3btMGDAgByPa9u2LaKjoyGVSrP0agYEBKB06dIA3r9JffymvGrVqs93Eblo27Ytbt68CR8fn2zjzkyGJRIJ9PT0FP7AJyUl4Z9//snx3AMGDMC///6LtWvXyr/e/BxKly4NV1dXbNiwQeFryISEBGzbtk0+w0Smpk2b4tixY/JhBABQqlQpeHh4YNq0aUhLS8syjCCTrq4uatSoIe+hunLlSo5xZd5h/fGcyZs3b872q+OcSCSSLK+XvXv3ZvtVdtOmTfHy5UssXrwYNWvWlH8Ia9KkCXbs2IHg4OAcr00dTE1NUaNGDWzfvl2hN0cmk2H9+vXyDyufy7t37xAfH5/tvswhJx/32hkZGWH79u1o27Yt2rdvj127dmWpO3r0aFy/fh0DBgyArq4uhg4dmm0buZ2rSZMmiI+Pz/IB8++//5bvVwdDQ0M0aNBAPv1XSEiISvVtbW2zvI987OPfiQ0bNgB4/zuT3fukEEI+vCs7EokEFStWxKJFi2BlZSX/3Wzbti2EEHj+/Hm273EVKlQAkDHFmZGRUZbYzp07VyBfw8+cORO3b9/G6NGjs3wLkxNHR0cMHDgQvXr1wr179+TDvT7ujf9UOV3zh/Pse3l54fr16wrH3b9/P8uwJlVia9y4MYCMD/wfCg4Oxp07d9T2mi8O2DNMn2zu3Ll5HtOzZ08EBgaidevWGD16NKpXrw59fX2Eh4fj+PHj6NChAzp16oTatWvD2toaw4cPx/Tp06Gvr4/AwEBcu3ZNDVeS1axZs3D48GHUrl0bo0aNQunSpZGcnIwnT55g3759WLlyJdzc3NCmTRssXLgQvXv3xrBhwxAdHY0FCxbk2cPYtWtXmJiYoGvXrkhKSsLGjRvlX9sWFB0dHcybNw99+vRB27Zt8eWXXyIlJQXz58/H27dvs/z/NWnSBMuXL8fr16+xePFihfK1a9fC2tpaYVq1lStX4tixY2jTpg08PDyQnJyMP//8EwByTSz9/PzQt29fLF68GPr6+mjatClu3ryJBQsWKMxdnZe2bdti3bp1KFOmDPz9/XH58mXMnz8/2/k6GzduLJ+i7cPe7aZNm8o/zGkyGQaAOXPmoFmzZmjUqBHGjx8PAwMDLF++HDdv3sTGjRs/67zK9+7dQ4sWLdCzZ080aNAAzs7OiImJwd69e7F69Wo0bNgwyxASIGNKwo0bN2LIkCHo2rUr/v77b/n0iwDQrFkzlC1bFsePH0ffvn3h4OCQYww5nat///747bffMGDAADx58gQVKlTAmTNn8L///Q+tW7f+rP9v06ZNQ3h4OJo0aQI3Nze8ffsWS5YsUbifoaAYGBjgl19+QXx8PKpVq4Zz585h9uzZaNWqlXycfrNmzWBgYIBevXph4sSJSE5OxooVK+TDnTLt2bMHy5cvR8eOHVGiRAkIIbB9+3a8fftW/kG3Tp06GDZsGAYNGoRLly6hfv36MDU1RUREBM6cOYMKFSpgxIgRsLa2xvjx4zF79mwMGTIE3bp1w7NnzzBjxgyVhkm8ffsWQUFBADI+kGcuunH69Gl07949y7dOH6tRowbatm0Lf39/WFtb486dO/jnn38UPtRnJvA///wzWrVqBV1dXfj7++f7vfXSpUsK1/z999/D1dUVI0eOlB/Tr18/9O3bFyNHjkSXLl3w9OlTzJs3D/b29grn8vHxgbGxMQIDA+Hn5wczMzO4uLhkOzSkdOnSGDZsGJYuXQodHR20atUKT548wdSpU+Hu7o4xY8bk63ooGxq6cY8KqQ9nk8jNx7NJCJExJdeCBQtExYoVhZGRkTAzMxNlypQRX375pXjw4IH8uHPnzolatWoJExMTYW9vL4YMGSKuXLmS5Q7cnO7Sz256muzkNLXax169eiVGjRolvL29hb6+vrCxsRFVq1YV33//vcLd6n/++acoXbq0MDQ0FCVKlBBz5swRa9asEQAUpqjK7o7q48ePCzMzM9GyZUuFaebyE3N2U6sJkXE3fY0aNYSRkZEwNTUVTZo0EWfPns1SPyYmRujo6AhTU1ORmpoqL8+c5aFz584Kx58/f1506tRJeHp6CkNDQ2FraysaNGiQZfaB7KSkpIhx48YJBwcHYWRkJGrWrCnOnz+f5c7s3F53MTEx4osvvhAODg7CxMRE1K1bV5w+fTrLXdyZKleuLAAoXPvz58/lMyd8ONOAEJ/+OsttNomvvvoq2zqnT58WjRs3FqampsLY2FjUrFlT7N69W+GYnJ6TzLg+nHYptzg+FBMTI2bPni0aN24sXF1dhYGBgTA1NRWVKlUSs2fPVnhtfjwdmhAZs7+MGjVK6OjoiN9//13h3DNmzBAARFBQUJZ2lT1XdHS0GD58uHB2dhZ6enrC09NTTJkyRT5tVqbsntvQ0FABQMyfPz/Ptj+eTWLPnj2iVatW8ufEwcFBtG7dWmEKsOzO82G7ykydmPl/dP36ddGwYUNhbGwsbGxsxIgRIxTea4QQYvfu3fL3UldXVzFhwgSxf/9+hd/9u3fvil69egkfHx9hbGwsLC0tRfXq1cW6deuytP3nn3+KGjVqyF9zPj4+on///uLSpUvyY2QymZgzZ45wd3cXBgYGwt/fX+zevTvH37WPeXp6ymcpkUgkwszMTJQuXVr069dPHDx4MNs6+GiGh8mTJ4uAgABhbW0tf68dM2aMeP36tfyYlJQUMWTIEGFvby8kEonCe3Buv3cft5X5O3bo0CHRr18/YWVlJYyNjUXr1q0V/mZlPjfz5s0TJUqUEEZGRiIgIEAcO3Ys2+dm48aNokyZMkJfX1+hzezeU6RSqfj5559FqVKlhL6+vrCzsxN9+/aVT8eWKae/DR+/lil7EiGUuH2TiIjoEwQEBEAikeQ6XpaISBM4TIKIiD6LuLg43Lx5E3v27MHly5exY8cOTYdERJQFk2EiIvosrly5gkaNGsHW1hbTp09Hx44dNR0SEVEWHCZBRERERMUWp1YjIiIiomKLyTARERERFVtMhomIiIio2OINdPkgk8nw4sULmJubf9YJ8ImIiIgof4QQePfuHVxcXKCjk3P/L5PhfHjx4gXc3d01HQYRERER5eHZs2fZrkqaiclwPpibmwPIeHJVWTaWiIiIqNiRpQGP12ZslxgE6Oirpdm4uDi4u7vL87acMBnOh8yhERYWFkyGiYiIiHKTngDcnZCx7T8C0DNVa/N5DWnlDXREREREVGwxGSYiIiKiYovJMBEREREVW0yGiYiIiKjYYjJMRERERMUWk2EiIiIiKrY4tRoRERERfT46hkCDPe+3tQyTYSIiIiL6fHT0ANc2mo4iRxwmQURERETFFnuGiYiIiOjzkaUBTwIztr36qG05ZmUxGSYiIiKiz0eWCgQNytj26KZ1yTCHSRARERFRscVkmIiIiIiKrUKdDJ86dQrt2rWDi4sLJBIJdu7cmWedkydPomrVqjAyMkKJEiWwcuXKzx8oEREREWmlQp0MJyQkoGLFili2bJlSx4eGhqJ169aoV68eQkJC8N1332HUqFHYtm3bZ46UiIiIiLRRob6BrlWrVmjVqpXSx69cuRIeHh5YvHgxAMDPzw+XLl3CggUL0KVLl88UJRERERFpq0KdDKvq/PnzaN68uUJZixYtsGbNGqSlpUFfP/u7G1NSUpCSkiL/OS4u7rPGSURERDkTQiBNKpCSLkVqugypUhlS02VISX//r3xfugwyIdCyvLOmwyYtVayS4cjISDg6OiqUOTo6Ij09Ha9fv4azc/a/KHPmzMHMmTPVESIREVGR8zIuGdeevcWDqHgkp0k/SFhl8mQ2JU0qT2pTc9j3YR1VGOrp4N5sJsMao2MI1N38flvLFKtkGAAkEonCz0KIbMs/NGXKFIwdO1b+c1xcHNzd3T9PgERERIVYdHwKrj+PxfVnsbjx/C2uh8ci6l1K3hU/gb6uBAa6OjDU14WBrg4M9HRgqJfxr4GeDoz0dD9r+5QHHb2M+YW1VLFKhp2cnBAZGalQFhUVBT09Pdja2uZYz9DQEIaG2vdJhqg4e/PmDcqUKYNXr16hdOnSuHv3bpZjZsyYkeu3OpMmTcLcuXOzlCcnJ2PhwoXYtGkTHj58CKlUCnd3d7Rq1QrfffcdnJycVGon08mTJ1G/fn0AwIkTJ9CoUaM868ycORPTpk3L87hMBw4cwJIlSxAcHIzY2FhYW1ujevXqGDNmDJo0aaL0efJj48aNWLBgAe7cuYOkpCR4enriyZMnn7VNUi8hBOKS0xEZm4yI2CRExCYjIjYZkf+//fhVAp6/TcpST0cClHI0R1lnC5gb6cmTVEM93YxtXR0Y6ut8kMjqKiSz8u3sEl5dHejo5NyhRZSXYpUM16pVC7t371YoO3ToEAICAnIcL0xE2mns2LF4/fq1UsfWqVMHvr6+WcqrVq2apSw5ORkNGjTAxYsXYWNjg0aNGsHAwAAXL17E0qVLsWXLFpw/fx5eXl7yOpUqVcKAAQOybfv58+c4cuQITExMUKVKFXm5k5NTjnWkUinWr18PAKhXr55S1wgACxcuxLhx4yCRSFCnTh24urri8ePH2Lt3L/bu3YsVK1Zg+PDhSp9PFcHBwejbty+MjIzQvHlzWFlZwc7O7rO0RZ9fQko67ka+Q+jrBDx5nYDQ6ASEvkrA0+gEJKRKc60rkQAl7Ezh72YFfzdL+LtZoqyzJYwN2DtbbMnSgfAdGdtunTJ6irWIdkWjovj4eDx8+FD+c2hoKK5evQobGxt4eHhgypQpeP78Of7++28AwPDhw7Fs2TKMHTsWQ4cOxfnz57FmzRps3LhRU5dARPlw9OhR/PXXXxg2bBhWr16d5/FDhgzBwIEDlTr36tWrcfHiRdSoUQOHDh2ChYUFgIwbafv164ctW7Zg+vTp+Ouvv+R1OnbsiI4dO2Z7vkmTJuHIkSPo1KkTzMzM5OVlypTBunXrsq2zf/9+rF+/Hu7u7mjQoIFScb969QpTpkyBgYEBjh49irp168r3bdu2Dd26dcO4cePQt29fhTgKyu7duyGTybB06VIMHjy4wM9P6pEuleHco2iM2XQV0QmpOR5nbaIPJ0tjOFsayR9OlsZwtzZGWRcLmBuxg4k+IEsBznTP2O4ez2S4IF26dEnha8bMcb0DBgzAunXrEBERgbCwMPl+b29v7Nu3D2PGjMFvv/0GFxcX/Prrr5xWjagQSUpKwvDhw1G2bFmMHz9eqWRYFadOnQIAjBkzRp4IAxnDpb777jts2bIFwcHBSp1LCCH/sN2vXz+lY8jsFe7Tpw90dJSbDv7ChQtITU1Fy5YtFRJhAOjSpQv8/f1x7do13L59G9WrV1c6FmWFh4cDAEqUKFHg56bP50Z4LA7djsTDqHg8jIrHk+gEpEmFfH9tH1t42ZmihJ0pvGxN4WVnClcrY/byUpFSqJPhhg0bym+Ay052vS4NGjTAlStXPmNURPQ5zZw5E48ePcKJEyc+y/AmZe4PsLGxUepcJ06cwLNnz+Dk5ISmTZsqVSchIQG7du0CAPTt21epOoBycQPKx57p/PnzWLRoEc6cOYPo6GjY2dmhfPny6NevH/r27Yt169Zh0KBB8uM/7KBYu3YtBg4ciLS0NPz5559Ys2YNHj9+jMTERDg4OKB8+fLo27cvevbsqVJMVDCS06Rot+xMlnIjfR34u1lhQdeK8LA10UBkROpVqJNhIiperl+/jl9++QWDBg1C/fr1lb4569ixY7h69SqSk5Ph5uaGVq1aZTteGACaNWuGDRs2YPHixWjVqpW8dzg1NRX/+9//ACDHsb4fy+zh7dWrF3R1letJ2759OxISElC5cmWUK1dOqToAUK1aNVhaWuLYsWM4c+aMQu/w9u3bcf36ddSuXTvbsdM5Wbx4McaOHQshBKpVq4YGDRogKioKV65cwb1799C3b1/4+vpiwIABOHPmDB49eoQWLVrIbzDMbKtfv37YtGkT7OzsULt2bZiYmOD58+c4ffo04uPjmQx/ZslpUrx4m4Tnb5PwPOb9v+cfR8uPmdCiNMq5WMDH3gyuVsa8IY2KFSbDRFQoyGQyDB06FFZWVpg3b55Kdf/55x+Fn6dOnYouXbpg3bp1WcbP9uvXD/v27cOWLVvg7e2N2rVrQ19fHxcvXsS7d+/w008/YejQoXm2mZycLF/qPT9DJFSpAwBWVlb4448/0KdPH9SvX19+A11oaCiCg4PRsmXLHMcoZ+fUqVMYO3YszM3NsWvXLjRs2FC+LzU1FcePHwcA1K1bF3Xr1sXAgQPx6NEjTJ48WeHYJ0+eYNOmTahWrRpOnToFIyMj+b6kpCRcvXpVpeukrBJS0vEsJlEh0Q3P/DcmCa/jc57WzMnCCNPalUXrCpyDl4ovJsNEVCgsXboUFy9exNq1a3OdCvFDvr6+WLBgAVq1agVPT0/ExMTg1KlTmDhxIrZt2wapVIodO3Yo1NHV1cXGjRvh6emJBQsWYM+ePfJ99evXzzIeNyf//fcfYmNjUa5cOVSuXFmpOpGRkTh69Ch0dXXRq1cvpep8qGvXrrCxsUGPHj1w5sz7r78dHR3RuHFjpZ83AJg7dy6EEJg2bZpCcgsABgYGaNGihVLniYqKAgDUrl1bIREGAGNjY9SqVUvpmOg9mUzg4K1IbL0cjhP3X0Eqy3nIIAAY6+vCzdoYrtbGcLXK+NfTxhSNytjDxICpABVv/A0gIq337Nkz/PDDD2jQoIHSs0IAWcfcmpqaonfv3mjUqBEqVKiAnTt34ty5c6hdu7b8mJiYGHTq1AnBwcFYsmQJunTpAhMTE5w6dQrffPMNmjRpgi1btuQ4e0Sm/PTwbtiwAVKpFC1btswyl7EyfvnlF0ycOBEdO3bEjBkzUKJECTx+/BjTpk3DhAkTEBQUhK1bt+Z5HqlUihMnTgAAhg0bpnIcHypTpgxMTU2xdu1alCtXDp07d1YpKaesZDKBKdtvYNOlZ/IyS2N9uFoZKyS8btbGcLUygau1MaxN9HNdXIqoWBOkstjYWAFAxMbGajoUomKhbdu2wsDAQNy+fVuhPDQ0VAAQpUuXVvmc48ePFwDEtGnTFMoHDBggAIjFixdnqRMcHCx0dHSEh4eHSEtLy/Hcr1+/Fvr6+kJHR0eEhYUpHVPlypUFABEYGKj8hfy/EydOCACiSpUqQiqVKuxLT0+Xn/vgwYN5nisyMlIAEA4ODkq3n/m8HT9+PMu+DRs2CDMzMwFASCQSUaZMGTFixAhx/vx5pc9fnKVLZeJh1Dux59oL8b99t0XtOUeF56Q9wnPSHjFu81Xx4OU7TYdIlDtpqhCP1mY8pKlqa1bZfI09w0Sk9fbs2QMrKyuMGDFCoTw5ORkAEBYWJv8qf8+ePUrNo1uyZEkAQEREhLxMKpXKp0Lr2rVrljoBAQHw9vbGo0eP8PjxY5QqVSrbc2/atAlpaWlo1KiR0ku337lzByEhITAzM8uz1zk7mfOpd+7cOct0bLq6uujcuTNCQkJw4sQJNG/eXKlzFlRPYq9evdC0aVPs2rULhw4dwsmTJ7FixQqsWLECEyZMUHkMeFEWHZ+Ce5HvcCfyHe5GxOFu5Dvcf/kOKekyhePMDfUwqI4XxjQrxR5f0n46+kCJgZqOIkdMhomoUHj79i1OnjyZ7b6kpCT5vvT0dKXOFxMTAwAKiXNUVBRSUzMWGvhwjuEPZZa/efMmx3PnZ4hE5k1+nTt3homJ6tNZZc7z+ylxZ7Kzs4OxsTFevnyJd+/ewdzcXOV4PmZvb48hQ4ZgyJAhEELg4MGD6NGjB+bPn4+BAweibNmyn9xGYfbP+SdYeuwhot5lf7Obsb4uSjmZo4yjOeqUtEPzso4w0udcv0QFgckwEWk9kcN84k+ePIG3tzdKly6Nu3fvqnS+zBvnPpxizcbGBgYGBkhNTc2yqA8AxMXF4d69ewAAT0/PbM/9+PFjnD9/HsbGxkov6COEwIYNGwCoPotEpswxxpcuXcp2f+ZCIR8uI50TXV1dNGzYEPv378fvv/8uX9CooEgkErRs2RJt2rTBxo0bcfPmzWKdDP8T9BRTd90CkLGUsYeNCco4maOMkwX8nM1R2skCHjYm0OV0Z1RYydKBiIMZ284ttG4FOuWWNiIiKmRev36Nv//+Gykpij1t8fHxGDFiBC5cuAAnJyd06tRJvs/Q0BAtW7YEkLGi5YdDKJKTkzFy5EgkJiaiTp06cHbOfiqqzF7hDh065NhL+7HTp0/j6dOncHFxQePGjXM9dtmyZShTpgymTJmiUJ45tCIwMBC7d+9W2Ldr1y5s2LABOjo6Ctebm0mTJkEikeDHH3/E6dOnFfalpaXh4MGDSp0nJCQE27dvR1pamkJ5TEwMLly4AADw8PBQ6lxFQUq6FHuvR2Du/rvo/+dFVPvpCKbuvAkA+LJ+Cdyc0QInJzTCqn4BGNOsFFqWd4a3nSkTYSrcZCnAybYZD1nOU/1pinal5kREBSQ+Ph4DBgzAN998Az8/P3h4eODt27e4cuUKoqOjYWVlha1bt2YZkrBw4UJcuHABV69eRenSpVGrVi0YGxsjODgYL168gI2NDVauXJlju4GBgQA+3/LLr1+/xr179xQSdSAjGe7WrRu2bNmC9u3by8c3h4aGynuLf/rpJ5QuXVqpmBo0aIB58+ZhwoQJqF+/PqpXrw4fHx9ERUXh2rVrMDU1VWrRk6dPn6JLly6wtLREQEAAnJyc8PbtW5w+fRpxcXHo1KkTatasqVRM2k4qleL06dOIiIiAs7Mz6tWrl2WxlSVHHmD5iUcKZRIJ0NTPEeOal4aBHvuoiNSNyTARFUm2traYNGkSgoKC8PDhQ1y9ehW6urrw9vbGwIEDMWbMGLi6umap5+Pjg2vXruHnn3/G/v37cerUKQgh4O7ujq+++gqTJ0+Gm5tbtm1evHgR9+/fh729vdI3qaWkpMinO1Nl+eWPSSQSbNq0CS1btsRff/2F69ev4+rVq7CyskLr1q3xzTffyHu9lTV+/HhUq1YNixYtwrlz5xASEgIHBwdUrVoV/fv3V+ocNWvWxOzZs3Hs2DHcu3cPp0+fhrW1Nfz9/TF06FD07t07P5erdbZv347Ro0fLx24DgJubG5YsWYImrdpl3BQXEYeNF8MAAO0ruqBGCRv4OVugjJM55/ol0iCJyGkwHuUoLi4OlpaWiI2NVfprUCIiKpq2b9+Orl27ZjO2XQJAwL7jdzAp/X4uaycLI5yZ1Ah6uuwFpmIiPQHY/P83K3ePB/RM1dKssvkaP4p+ioQEQJd38xIRFVdSqRSjR43K4SbPjLKYI6tQzr86yrhYo4yTOVpWcIJecpJ6AyXSpPSE99sJCerLPhMS8j4G7BnOF/knDQDsFyYiKr5OAGiU10EAjgNo+FkjIdJihgD+/P/twQDUdA9dHABLIM+eYX5HQ0RElE8ReR+i0nFEpH4cJvEpXrwAOGaYiKjYcjp1CmjdOs/jnPftA+rXV0NERFpIlgY8+f+u4VeDM1akU4e4OMDFJc/DmAx/ClPTjAcRERU7Ue+SsfihKXTN7SB99zrbYyQSCdzc3FCveXPeY0LFW4WCXbxHKVKpUocxGSYiIlKCTCbw+HUCbkfE4U5EHFb8/3zBNk2G4dXOOZBIFFdLlEgyFspYvHhxlvmGiUh7MBkmIiLKw/O3SRix/jKuh8dm2TdiYC9U7Fc123mGFy9ejM6dO6szVCLtI5MCr/5/JUv7eoCOdn04ZDJMRESUi7jkNLT99TRiEtNgqKcDP2cLlHWxQFlnC5RzsUAldytIJOXRoUOHPFegIyqWZMnA0f+fd6V7PKCjXUNMmQwTERF94E1CKq4+i8HlpzE49ygaIWFv5fv2ja4HH3uzbOvp6uqiYcOG6gmSiAoMk2EiIir2hBCYf/Ae9t2IwJPoxCz7S9iZol8tzxwTYSIqvJgMExFRsRGXnIbI2GS8eJuU8W9sMiJjk3DpSQwev36/WpWPvSkqe1ijupcN6pS0g6uVsQajJqLPickwEREVCzP+u4V1557keoyLpRH2j64PSxM1zYNKRBrHZJiIiIqsx6/icfDWS5y8H4Wgx2/k5WWczOFsaQRnK2M4W/z/v5ZGqOppDSN93vRGVJwwGSYioiLn2N2XWH3qsUICDGQkwVuG14K5EXt+iSgDk2EiIioypDKBSduuY+vljPl+dSRA3ZL2aOrngPol7eFlp11TOhEVCxJ9oNK899tahskwEREVGYdvR8oT4SF1vTGorjdvfiPSNF0DoOwETUeRIybDRERUJJx9+Bo/7LwFABhcxxs/tC2r4YiIqDBgMkxERIXe0Tsv8cVflwAAJR3MMLZ5KQ1HRERyMikQcyVj27oKl2MmIiIqaGvOhAIAmpd1xC/dK8LMkH/eiLSGLBk4WD1jWwuXY9bRdABERESfIiw6EVfCYgAAo5qU5EwRRKQSfnQmIqJCRSYTeBAVj0tP3+DSkxjsuxGBlHQZvO1M4edsoenwiKiQYTJMRESFxrmHr/HNxhBEJ6QqlFfzssb/OlWAro5EQ5ERUWHFZJiIiLTe5acx2HYlHBsvhkGIjLI6vrao6mGNWj52qFnCBhIJE2EiUh2TYSIi0loymcDPB+9i1cnH8jKuIkdEBYnJMBERaSUhBMZtuYYdIc8BAJ0qu6JrVTfULGHL4RBEVGCYDBMRkVY6+zBanggv6FYRXau6aTgiIsoXiT5Qfvr7bS3DZJiIiLRORGwSZuzOWE2uWVlHJsJEhZmuAeA/Q9NR5IjJMBERaZWYhFR0+u0cIuOS4WhhiGlcVpmIPiMmw0REpDVik9LwzcYQRMYlw9PWBOu/qAF3GxNNh0VEn0LIgNg7GduWfoBEu9Z8YzJMRERa4fSDVxi/5RpexqXASF8Hv3SryESYqCiQJgH7ymdsd48H9LRrOWYmw0REpHERsUkY+vclJKfJ4GlrgmW9qqCCm6WmwyKiYoDJMBERaYxUJrDtSjjmHbiL5DQZnCyMcPDb+jDS19V0aERUTDAZJiIijUhNl6HvHxdw8ckbAEBpR3P82qsyE2EiUismw0REpBH/Bofh4pM3MNTTwfjmpdG/ticM9ZgIE5F6MRkmIiK1E0Jg+5WMBTXGNS+FofVLaDgiIiqutGtuCyIiKhZm7r6Nq8/ewkBPB+0rumo6HCIqxtgzTEREanXwViTWnXsCAPixQzk4WRppNiAi+rwk+oDf+PfbWobJMBERqUXo6wQsOHQPe69HAADKuVigRzUPDUdFRJ+drgFQeb6mo8gRk2EiIvrsbj6PRecV55CaLoNEAnSq7IoJLUprOiwiIibDRET0+S079hCp6TKUcTLHoh6V4OdsoemQiEhdhAxICMvYNvXgcsxERFS83H4RhwO3IiGRAL/2qoxSjuaaDomI1EmaBPznnbGthcsxa1dqTkRERUpSqhSj/g0BALSu4MxEmIi0DpNhIiL6bM49eo2HUfEwM9TD1DZlNR0OEVEWTIaJiOizSEqV4s+zoQCApn4OnEKNiLQSk2EiIvos5h28i7MPo2Ggq4Mh9bjCHBFpJybDRERU4GIT07D/RiQAYHTTkijvaqnhiIiIssfZJIiIqMBIZQJz9t3B+gtPkZwmg5G+DroFuGk6LCKiHDEZJiKiApGQko65++/in6CnAIAyTuaY3KoMHMw5VpioWJPoASVHvt/WMtoXERERFTrP3yahy/JziIxLBgB8Wb8EJrcqA4lEouHIiEjjdA2Bar9pOoocMRkmIqJPtvjwfUTGJcPB3BATW5ZBlyquTISJqFBgMkxERJ/kTUIqjt+LAgDM7lgezcs5aTgiItIqQgAprzO2De0ALfugzGSYiIjy7Z+gp5h/4C7iktPhaGGI2r52mg6JiLSNNBHY7pCxrYXLMTMZJiIipQkh8PxtEi4/jcGxu1HYdfUFAKC0oznmdfWHmSH/rBBR4cJ3LSIiUkp0fAoGrQvG9fBYhfJe1d0xu2MF6Opo11efRETKYDJMRERK+f10qDwRruhmiaqeNqhZwgZN/Ryhw0SYiAopJsNERKSU2xFxAIBZHcqhfy0vzQZDRFRAuBwzERHl6f7Ld7gaFgMA8LTVrptfiIg+BZNhIiLKVURsEnr/fgFxyenwd7NEzRI2mg6JiKjAcJgEERHlatfVF3gdn4KSDmb4e3B1GOrpajokIipMJHqA94D321pG+yIiIiKtcv/lOwBA6wrOsDIx0HA0RFTo6BoCtdZpOooccZgEERHlKDI2GXuvRwAAArysNRwNEVHBY88wERHlaO3ZUKSkyxDgaY26XF2OiPJDiIxV6ABA10TrlmMuEj3Dy5cvh7e3N4yMjFC1alWcPn061+MDAwNRsWJFmJiYwNnZGYMGDUJ0dLSaoiUiKhySUqXYcCEMAPBFXW9ItOwPGBEVEtJEYLNZxiMzKdYihT4Z3rRpE7799lt8//33CAkJQb169dCqVSuEhYVle/yZM2fQv39/fPHFF7h16xa2bNmC4OBgDBkyRM2RExFpr6h3yWi26CTepaTDQE8HVTlEgoiKqEKfDC9cuBBffPEFhgwZAj8/PyxevBju7u5YsWJFtscHBQXBy8sLo0aNgre3N+rWrYsvv/wSly5dyrGNlJQUxMXFKTyIiIqq2KQ0fL0hBOExSTDQ1cHy3lXgYG6k6bCIiD6LQp0Mp6am4vLly2jevLlCefPmzXHu3Lls69SuXRvh4eHYt28fhBB4+fIltm7dijZt2uTYzpw5c2BpaSl/uLu7F+h1EBFpi+Q0KbqsOIeLoW8AAIt6VELTso4ajoqI6PMp1Mnw69evIZVK4eio+Ebt6OiIyMjIbOvUrl0bgYGB6NGjBwwMDODk5AQrKyssXbo0x3amTJmC2NhY+ePZs2cFeh1ERNogKVWK6btu4WFUPKxN9BE4pAba+DtrOiwios+qUCfDmT6+qUMIkeONHrdv38aoUaMwbdo0XL58GQcOHEBoaCiGDx+e4/kNDQ1hYWGh8CAiKipuhMdi8LpgVJp1CJsuZXzYH9e8NOpw9ggiKgYK9dRqdnZ20NXVzdILHBUVlaW3ONOcOXNQp04dTJgwAQDg7+8PU1NT1KtXD7Nnz4azM3tBiKj4ePYmEX3XXEBsUhoAwNXKGB0ru6BnNQ4HI6LioVAnwwYGBqhatSoOHz6MTp06ycsPHz6MDh06ZFsnMTERenqKl62rm7G0qBDi8wVLRKRFhBA48/A1pu26hdikNFRwtcSCbhVRytGMU6gRUcGS6ALuXd9va5lCnQwDwNixY9GvXz8EBASgVq1aWL16NcLCwuTDHqZMmYLnz5/j77//BgC0a9cOQ4cOxYoVK9CiRQtERETg22+/RfXq1eHi4qLJSyEiUpvvd96UzyGspyPBtHZlUdrJXMNREVGRpGsE1Nui6ShypJFkOC0tDZGRkUhMTIS9vT1sbGzyfa4ePXogOjoas2bNQkREBMqXL499+/bB09MTABAREaEw5/DAgQPx7t07LFu2DOPGjYOVlRUaN26Mn3/++ZOvi4ioMHgYFS9PhHvX8MCg2l4o6chEmIiKJ4lQ09iA+Ph4BAYGYuPGjbh48SJSUlLk+9zc3NC8eXMMGzYM1apVU0c4nyQuLg6WlpaIjY3lzXREVOjsuf4CX28IQSV3K+z8qo6mwyEi+iyUzdfUMpvEokWL4OXlhd9//x2NGzfG9u3bcfXqVdy7dw/nz5/H9OnTkZ6ejmbNmqFly5Z48OCBOsIiIip2wqITMWffXQBAafYGE5E6pCcAGyQZj/QETUeThVqGSZw7dw7Hjx9HhQoVst1fvXp1DB48GCtXrsSaNWtw8uRJlCxZUh2hEREVG1KZwOhNIXj+Ngkl7EzxTRNfTYdERKRxakmGt2xRbtC0oaEhRo4c+ZmjISIqnladeoSQsLcwN9TDP0NqwNXKWNMhERFpnMYW3Xj48CEOHjyIpKQkAJzWjIjoc4qOT8HiwxlD0Ka1K8tEmIjo/6k9GY6OjkbTpk1RqlQptG7dGhEREQCAIUOGYNy4ceoOh4ioWDh5/xVSpTJ42pqga1U3TYdDRKQ11J4MjxkzBnp6eggLC4OJiYm8vEePHjhw4IC6wyEiKvKO3H6J73fcBAC083fhohpERB9Q+zzDhw4dwsGDB+HmptgzUbJkSTx9+lTd4RARFVkymcC2K+H4YedNpKTLUK+kHUY09NF0WEREWkXtyXBCQoJCj3Cm169fw9DQUN3hEBEVWeO3XsP2K88BAE39HLCyb1Xo6WrsVhEiKq4kuoBL6/fbWkbt74r169eXL40MABKJBDKZDPPnz0ejRo3UHQ4RUZEUEZuEnSEZifC3TUtieR8mwkSkIbpGQMO9GQ9dI01Hk4Xae4bnz5+Phg0b4tKlS0hNTcXEiRNx69YtvHnzBmfPnlV3OERERdKyYw8hE0Aldyt827SUpsMhItJaau8mKFu2LK5fv47q1aujWbNmSEhIQOfOnRESEgIfH45lIyL6VJeevMHGi2EAgD41PDQcDRGRdlN7zzAAODk5YebMmZpomoioSEtMTceErdchE0AVDyu09XfRdEhEVNylJwDbHDK2u0QBeqaajecjau8ZXrt2bbYr0m3ZsgV//fWXusMhIioy0qQyfLHuEkJfJ8DaRB9rB1WHsYH23axCRMWQNDHjoYXUngzPnTsXdnZ2WcodHBzwv//9T93hEBEVGStPPML5x9EwM9TDmoHVYGmsr+mQiIi0ntqT4adPn8Lb2ztLuaenJ8LCwtQdDhFRkSCEwKZLzwAA09uVRRUPaw1HRERUOKg9GXZwcMD169ezlF+7dg22trbqDoeIqEhYcOgewmOSYKyvy3HCREQqUHsy3LNnT4waNQrHjx+HVCqFVCrFsWPHMHr0aPTs2VPd4RARFXrhMYn47fgjAMB3bfw4TpiISAVqn01i9uzZePr0KZo0aQI9vYzmZTIZ+vfvzzHDRET5MHXnTQCAr4MZ+tX01HA0RESFi9qTYQMDA2zatAk//vgjrl27BmNjY1SoUAGennwDJyJS1Z2IOBy/9wp6OhIs6FZR0+EQEWVDB3Bo8H5by2hknmEAKFWqFEqV4qpIRESf4taLOACAv5slKrlbaTYYIqLs6BkDTU9oOoocqT0ZlkqlWLduHY4ePYqoqCjIZDKF/ceOHVN3SEREhdbBW5EAgGpeNhqOhIiocFJ7Mjx69GisW7cObdq0Qfny5SGRSNQdAhFRkXAnIg7H70YBAFpXcNZwNEREhZPak+F///0XmzdvRuvWrdXdNBFRkfLvxTCkywRqlrCBv5ulpsMhIspeegKwyytju8MTrVuOWSM30Pn6+qq7WSKiIuXZm0Rsu/IcANC5ihu/ZSMi7ZbyWtMR5Ejtt/SNGzcOS5YsgRBC3U0TERUZs/bcRnxKOgI8rdG5squmwyEiKrTU3jN85swZHD9+HPv370e5cuWgr6+vsH/79u3qDomIqFB5GZeMU/dfAchYZENPV/umKiIiKizUngxbWVmhU6dO6m6WiKjI+PXoA6Sky1DB1RKV3Kw0HQ4RUaGm9mR47dq16m6SiKjIOHAzAhsuhgEAxjQrCR0djhUmIvoU/G6NiKgQ+fXoQwgB9AhwR6PSDpoOh4io0NPICnRbt27F5s2bERYWhtTUVIV9V65c0URIRERa70Z4LG5HxEFXR4LJrcpwBgkiKiR0AJuA99taRu0R/frrrxg0aBAcHBwQEhKC6tWrw9bWFo8fP0arVq3UHQ4RUaGQlCrFt5tCAACtyjvB2tRAwxERESlJzxhoGZzx0DPWdDRZqD0ZXr58OVavXo1ly5bBwMAAEydOxOHDhzFq1CjExsaqOxwiokJh65VwPHqVAHtzQ8zqUF7T4RARFRlqT4bDwsJQu3ZtAICxsTHevXsHAOjXrx82btyo7nCIiLTe6/gUrD0bCgDoWc0dNuwVJiIqMGpPhp2cnBAdHQ0A8PT0RFBQEAAgNDSUC3EQEX0kNjENHZadxeNXCXAwN0T/Wl6aDomISDXpiRnLMe/yytjWMmpPhhs3bozdu3cDAL744guMGTMGzZo1Q48ePTj/MBHRR3Zde47nb5Nga2qADUNrwt7cUNMhERGpSAAJTzMe0L6OT7XPJrF69WrIZDIAwPDhw2FjY4MzZ86gXbt2GD58uLrDISLSWs/eJGLR4fsAgBENfeDrYKbhiIiIih61J8M6OjrQ0XnfId29e3d0795d3WEQEWm1d8lpGLwuGDGJaSjvasHhEUREn4lakuHr168rfay/v/9njISISPtFx6dg0rbreBAVD0cLQ/zRvxoM9LRvbk4ioqJALclwpUqVIJFIIITIc5J4qVSqjpCIiLTS3usRmLD1GhJTpZBIgF97VoaTpZGmwyIiKrLU0tUQGhqKx48fIzQ0FNu2bYO3tzeWL1+OkJAQhISEYPny5fDx8cG2bdvUEQ4RkVaKepeMif+fCPs5W+CvQdVRo4StpsMiIirS1NIz7OnpKd/u1q0bfv31V7Ru3Vpe5u/vD3d3d0ydOhUdO3ZUR0hERFpny6VwJKRKUcHVEju/qgNdHS63TERFgQSwLPt+W8uo/Qa6GzduwNvbO0u5t7c3bt++re5wiIi0QmxSGjZeDAMAdK7iykSYiIoOPROgzS1NR5Ejtd+R4efnh9mzZyM5OVlelpKSgtmzZ8PPz0/d4RARaYV/L4YhPCYJjhaGaOvvoulwiIiKDZV7hkNDQ7Pt2VXWypUr0a5dO7i7u6NixYoAgGvXrkEikWDPnj35Pi8RUWGVlCrF2UcZK3P2ru7JhTWIiNRI5WTY19cX9evXxxdffIGuXbvCyEi1u5yrV6+O0NBQrF+/Hnfv3oUQAj169EDv3r1hamqqajhERIXaszeJ6PV7EMJjkgAA1bysNRwREVEBS08EDlbL2G4RnDFsQotIhBAqrYt38+ZN/PnnnwgMDERKSgp69OiBL774AtWrV/9cMWqduLg4WFpaIjY2FhYWFpoOh4gKKSEEOvx2FtfDY+FiaYTv2vhxiAQRFT3pCcDm/19Bs3s8oKeezk9l8zWVxwyXL18eCxcuxPPnz7F27VpERkaibt26KFeuHBYuXIhXr17leY5//vkHdevWhYuLC54+fQoAWLRoEXbt2qVqOEREhda18FhcD4+Fkb4Oto2szUSYiEgD8n0DnZ6eHjp16oTNmzfj559/xqNHjzB+/Hi4ubmhf//+iIiIyLbeihUrMHbsWLRq1QoxMTHyRTasra2xePHi/IZDRFTobL38DADQspwTnC2NNRwNEVHxlO9k+NKlSxg5ciScnZ2xcOFCjB8/Ho8ePcKxY8fw/PlzdOjQIdt6S5cuxe+//47vv/8eenrvhywHBATgxo0b+Q2HiKjQOXonCgDQqYqbhiMhIiq+VL6BbuHChVi7di3u3buH1q1b4++//0br1q2ho5ORV3t7e2PVqlUoU6ZMtvVDQ0NRuXLlLOWGhoZISEhQNRwiokLp1otYRMQmQ09HgioeVpoOh4io2FI5GV6xYgUGDx6MQYMGwcnJKdtjPDw8sGbNmmz3eXt74+rVqwqr0gHA/v37UbZs2WzrEBEVJUIIrD71GADQoJQ9zI30NRwREVHxpXIyfPjwYXh4eMh7gjMJIfDs2TN4eHjAwMAAAwYMyLb+hAkT8NVXXyE5ORlCCFy8eBEbN27EnDlz8Mcff+TvKoiICpHd1yOw6+oLAED7SrxpjoiKOglg6vl+W8uonAz7+PggIiICDg4OCuVv3ryBt7e3/Ia4nAwaNAjp6emYOHEiEhMT0bt3b7i6umLJkiXo2bOnquEQERU6QY8zFtjoW9MDHSq5ajgaIqLPTM8E6PBE01HkSOVkOKdpiePj45VegGPo0KEYOnQoXr9+DZlMliWxJiIqqo7dfYmtl8IBALVK2Gk4GiIiUjoZHjt2LABAIpFg2rRpMDF5v3qIVCrFhQsXUKlSJaXOlZ6ejhMnTuDRo0fo3bs3AODFixewsLCAmZmZCuETERUuS448QKpUhmZlHdGinKOmwyEiKvaUToZDQkIAZPQM37hxAwYGBvJ9BgYGqFixIsaPH5/neZ4+fYqWLVsiLCwMKSkpaNasGczNzTFv3jwkJydj5cqV+bgMIiLtl5ouw52IdwCAH9r4QU8337NbEhEVHulJwJH6GdtNTwF62jWvutLJ8PHjxwFkjPldsmRJvpchHj16NAICAnDt2jXY2trKyzt16oQhQ4bk65xERIXBg6h3SJXKYGGkBw8bk7wrEBEVCTLgzaX321pG5THDa9eu/aQGz5w5g7Nnzyr0LAOAp6cnnj9//knnJiLSZpm9wuVcLCGRaN8d1URExZFSyXDnzp2xbt06WFhYoHPnzrkeu3379lz3y2SybGecCA8Ph7m5uTLhEBEVSrFJaQAAe3NDDUdCRESZlEqGLS3f92JYWlp+UoPNmjXD4sWLsXr1agAZN+TFx8dj+vTpaN269Sedm4hImyWnZXQEGOlzrDARkbZQKhn+cGjEpw6TWLRoERo1aoSyZcsiOTkZvXv3xoMHD2BnZ4eNGzd+0rmJiLRRfEo6Dt+OxL4bEQAAY31dDUdERESZVB4z/KlcXFxw9epV/Pvvv7h8+TJkMhm++OIL9OnTB8bG2nV3IRHRp0qTytBy8SmExyTJy/zdrDQXEBERKVAqGa5cubLSN3tcuXIlz2OMjY0xaNAgDBo0SKlzEhEVVodvv5QnwqMa+6JtRReUcuT9EURUzBhq7yJDSiXDHTt2LLAG58yZA0dHRwwePFih/M8//8SrV68wadKkAmuLiEiTQl8n4PsdNwAAw+qXwNjmpTUcERGRBuiZAl1eaTqKHElETusrfyZeXl7YsGEDateurVB+4cIF9OzZE6GhoeoMJ1/i4uJgaWmJ2NjYfM+3TERF24l7URgZeAWJqVKUd7XAthG1YajHscJEROqibL6m9luaIyMj4ezsnKXc3t4eERER6g6HiOizWHXyMRJTpXCyMMIf/asxESYi0lJKDZOwsbHB/fv3YWdnB2tr61zHD7958ybXc7m7u+Ps2bPw9vZWKD979ixcXFyUCYeISKudffga5x9HAwAWdKsIJ0sjDUdERKRB6UnAiVYZ2w33F87lmBctWiRfEGPx4sWf1OCQIUPw7bffIi0tDY0bNwYAHD16FBMnTsS4ceM+6dxERNpg3bknAIBuVd1Qt6T23jRCRKQeMiDq5PttLaNUMjxgwIBst/Nj4sSJePPmDUaOHInU1FQAgJGRESZNmoTJkyd/0rmJiDTt0at4HLnzEgDwZYMSGo6GiIjykq95hqVSKXbs2IE7d+5AIpHAz88PHTp0gJ5e3qeTSCT4+eefMXXqVNy5cwfGxsYoWbIkDA25PCkRFX5bLoVDCKCpnwN8HTiFGhGRtlM5Gb558yY6dOiAyMhIlC6dMU3Q/fv3YW9vj//++w8VKlTItf6RI0fQtGlTmJmZoVq1agr7Vq1ahS+//FLVkIiItMbtiDgAQOMyjhqOhIiIlKHybBJDhgxBuXLlEB4ejitXruDKlSt49uwZ/P39MWzYsDzrt2nTBuPGjZMPkQCAV69eoV27dpgyZYqq4RARaY00qQw3wt8CANxttOsGESIiyp7KyfC1a9cwZ84cWFtby8usra3x008/4erVq3nWP3XqFHbv3o1q1arh1q1b2Lt3L8qXL4/4+Hhcu3ZN1XCIiLTGvch3iElMg7mRHmqVsNV0OEREpASVk+HSpUvj5cuXWcqjoqLg6+ubZ/0aNWogJCQE/v7+qFq1Kjp16oRx48bh2LFjcHd3VzUcAMDy5cvh7e0NIyMjVK1aFadPn871+JSUFHz//ffw9PSEoaEhfHx88Oeff+arbSKiTFfCYgAAldytoKer9mnciYi0l65JxkMLKTVmOC4uTr79v//9D6NGjcKMGTNQs2ZNAEBQUBBmzZqFn3/+WalG7927h+DgYLi5ueHFixe4e/cuEhMTYWpqqvIFbNq0Cd9++y2WL1+OOnXqYNWqVWjVqhVu374NDw+PbOt0794dL1++xJo1a+Dr64uoqCikp6er3DYRUaabz2Px69EHAIBqXjYajoaISIvomQI9EjQdRY6UWo5ZR0dHYaGNzCqZZR/+LJVKcz3X3LlzMX36dAwbNgzz58/Ho0eP0LdvX8TFxWH9+vWoVauWShdQo0YNVKlSBStWrJCX+fn5oWPHjpgzZ06W4w8cOICePXvi8ePHsLHJ3x8sLsdMRB96GBWPjr+dRXxKOvycLbBxaA1YmRhoOiwiomJN2XxNqZ7h48ePF1hgS5Yswc6dO9GqVcZKJOXKlcPFixfx3XffoWHDhkhJSVH6XKmpqbh8+XKW+YmbN2+Oc+fOZVvnv//+Q0BAAObNm4d//vkHpqamaN++PX788UcYG2d/w0tKSopCXB/2lBMRHbwVifiUdLhaGWPTlzVhYaSv6ZCIiEhJSiXDDRo0KLAGb9y4ATs7xRWZ9PX1MX/+fLRt21alc71+/RpSqRSOjopTGDk6OiIyMjLbOo8fP8aZM2dgZGSEHTt24PXr1xg5ciTevHmT47jhOXPmYObMmSrFRkTFx83nsQCADpVcmAgTEX1Mmgyc7pKxXW8boKtdS9Tna9ENAEhMTERYWJjCFGkA4O/vn2u9jxPhD/n5+eUrlg+HcAAZwzY+Lsskk8kgkUgQGBgIS0tLAMDChQvRtWtX/Pbbb9n2Dk+ZMgVjx46V/xwXF5fvm/2IqGh5GPUO+29GQiIBWpZ30nQ4RETaR0iBF/veb2sZlZPhV69eYdCgQdi/f3+2+3MaM2xiYoKnT5/C3t4eANCyZUusXbsWzs7OAICXL1/CxcUlzzHHH7Kzs4Ourm6WXuCoqKgsvcWZnJ2d4erqKk+EgYwkXAiB8PBwlCxZMksdQ0NDrpBHRNm6Hp7RK1zVwxr+blaaDYaIiFSm8tw/3377LWJiYhAUFARjY2McOHAAf/31F0qWLIn//vsvx3rJycn48F69s2fPIikpSeEYJe7lU2BgYICqVavi8OHDCuWHDx9G7dq1s61Tp04dvHjxAvHx8fKy+/fvQ0dHB25ubiq1T0QU/OQNAKCsC2+mJSIqjFROho8dO4ZFixahWrVq0NHRgaenJ/r27Yt58+ZlO3uDKnIa2pCbsWPH4o8//sCff/6JO3fuYMyYMQgLC8Pw4cMBZAxx6N+/v/z43r17w9bWFoMGDcLt27dx6tQpTJgwAYMHD87xBjoiouwkp0mx53oEAA6RICIqrFQeJpGQkAAHBwcAgI2NDV69eoVSpUqhQoUKuHLlSoEHmJcePXogOjoas2bNQkREBMqXL499+/bB09MTABAREYGwsDD58WZmZjh8+DC++eYbBAQEwNbWFt27d8fs2bPVHjsRFW4n7kXhXXI6XCyNUNObK84RERVGKifDpUuXxr179+Dl5YVKlSph1apV8PLywsqVK+Xjf7MjkUgUen4//vlTjBw5EiNHjsx237p167KUlSlTJsvQCiIiVYW+TgQAVPO2gY5OwbyfERGReqmcDH/77beIiMj4WnD69Olo0aIFAgMDYWBgkG3imUkIgVKlSskT4Pj4eFSuXBk6Ojry/UREhUVsUhq2XH4GACjlaK7haIiIKL9UTob79Okj365cuTKePHmCu3fvwsPDI9dp09auXZu/CImItEx0fAp6/R6Ex68S4GBuiO4BnGqRiChHeqZAb+3t9Mz3PMNARm+usbExqlSpkuexAwYM+JSmiIi0xqw9t3H/ZTwcLQyxblB12Jtz6kUiosJK5dkkAGDNmjUoX748jIyMYGRkhPLly+OPP/5Q+TwjR47E69ev8xMCEZHGnLr/CgCwsHsl+DlzSjUiosJM5WR46tSpGD16NNq1a4ctW7Zgy5YtaNeuHcaMGYMffvhBpXOtX78ecXFxqoZARKQx6VIZ4pLTAQC+DmYajoaIqBCQJgOnu2U8pMmajiYLlYdJrFixAr///jt69eolL2vfvj38/f3xzTffqDRFGW+aI6LC5r9rLyCVCViZ6MPOjMMjiIjyJKTAs63/v71Oo6FkR+WeYalUioCAgCzlVatWRXp6eoEERUSkjd4mpmL23jsAgMF1vKHL6dSIiAo9lZPhvn37YsWKFVnKV69erTDThDLevXuHEiVKqBoCEZHaRcUlo8XiU3iTkApbUwN82YDvXURERYFSwyTGjh0r35ZIJPjjjz9w6NAh1KxZEwAQFBSEZ8+eKSx7nBuZTIaHDx8iKioKMplMYV/9+vWVjZ2ISG32XI/Ay7gUuFoZY3mfKjDU09V0SEREVACUSoZDQkIUfq5atSoA4NGjRwAAe3t72Nvb49atW3meKygoCL1798bTp0+zjBmWSCSQSqVKBU5EpE6v41MAAE38HFDR3UqzwRARUYFRKhk+fvx4gTU4fPhwBAQEYO/evXB2di6wJZmJiD6nG89jAXAGCSKiouaTFt0IDw+HRCKBq6ur0nUePHiArVu3wtfX91OaJiJSm6i4ZFx6EgMA8LAx0XA0RERUkFS+gU4mk2HWrFmwtLSEp6cnPDw8YGVlhR9//DHL+N/s1KhRAw8fPsxXsERE6iaEwNcbQ5CUJkVpR3PULGGr6ZCIiAoXXROge3zGQ1f7OhRU7hn+/vvvsWbNGsydOxd16tSBEAJnz57FjBkzkJycjJ9++inX+t988w3GjRuHyMhIVKhQAfr6+gr7/f39VQ2JiOizuRYei4uhb2Cop4MVfavASJ83zhERqUQiAfRMNR1FjiRCxZUvXFxcsHLlSrRv316hfNeuXRg5ciSeP3+ea30dnayd0RKJBEKIQnMDXVxcHCwtLREbGwsLCy7FSlSU/XsxDJO330C9knb454samg6HiIiUpGy+pnLP8Js3b1CmTJks5WXKlMGbN2/yrB8aGqpqk0REGnP2UTQAwM+ZH3yJiPJFmgJc/DJju/oqQFe7Vu9UORmuWLEili1bhl9//VWhfNmyZahYsWKe9T09PVVtkohII9KlMlx5mnHjXDUvGw1HQ0RUSIl0IPSvjO1qvwEo5MnwvHnz0KZNGxw5cgS1atWCRCLBuXPn8OzZM+zbt0+pczx69AiLFy/GnTt3IJFI4Ofnh9GjR8PHx0flCyAi+lxWn36M52+TYGNqgJolmAwTERVFKs8m0aBBA9y/fx+dOnXC27dv8ebNG3Tu3Bn37t1DvXr18qx/8OBBlC1bFhcvXoS/vz/Kly+PCxcuoFy5cjh8+HC+LoKIqKA9fhWPxYcfAAC+a+0HcyP9PGoQEVFhpFIynJaWhkaNGiE+Ph4//fQTtm3bhu3bt2P27NlwcXFR6hyTJ0/GmDFjcOHCBSxcuBCLFi3ChQsX8O2332LSpEn5uggiooK28uQjpEplqFfSDl2qKD+XOpG6NWzYEBKJJMfHgQMHFI6XyWQ4ffo0Jk6ciBo1asDBwQGGhobw8fHB8OHDc7y3J692JBJJtjfJZ7p8+TL69OkDV1dXGBoawsnJCY0aNcLatWsVjjtx4kSe7UgkEsyaNSvfz9mDBw9gbGwMiUSCli1b5vs8ytq4cSOqVq0KExMTSCQSeHl5ffY2SXkqDZPQ19fHzZs3P2nVuDt37mDz5s1ZygcPHozFixfn+7xERAUlLDoRWy6HAwBGNynJlTKpUOjSpQvMzLKukPjxwliPHz9G/fr15ftq164NHR0dXLx4EatWrcKGDRuwb98+1K1bV6Fey5Ytc0ziLl++jJs3b+b4DfGyZcvw7bffAshYb6B+/fp4+fIlrl69isDAQAwaNEh+rJOTEwYMGJDteaRSKdavXw8ASn0bnZMvv/wSKSkp+a6viuDgYPTt2xdGRkZo3rw5rKysYGdnp5a2STkqjxnu37+/fJ7h/LC3t8fVq1dRsmRJhfKrV6/CwcEhX+ckIipIj17FQwigpIMZAnjjHBUSCxYsUKrHUSKRoEWLFvjuu+/kSTEApKSkYPjw4Vi3bh369OmDhw8fKqwFMHny5BzPWaNGxrSD/fr1y7Jv3759GDVqFLy9vfHff/+hXLly8n1paWm4deuWwvFlypTBunXrsm1n//79WL9+Pdzd3dGgQYM8rzU7a9aswfHjxzFs2DCsXr06X+dQxe7duyGTybB06VIMHjz4s7dHqlM5GU5NTcUff/yBw4cPIyAgAKamipMoL1y4MNf6Q4cOxbBhw/D48WPUrl0bEokEZ86cwc8//4xx48apGg4RUYG7G/kOAFDCXnsniSfKLx8fnyxDJwDA0NAQK1aswI4dOxAWFoZz584plXA+ePAAFy9ehKGhIbp166awTyqV4quvvoJEIsH27dsVEmEg4xvnSpUqKR17Zq9wnz59ch2SkZOoqChMmDABTZs2Ra9evdSSDIeHZ3zLVKJEic/eFuWPysnwzZs3UaVKFQDA/fv3FfYp81Xi1KlTYW5ujl9++QVTpkwBkLGQx4wZMzBq1ChVwyEiKlDrg55i3sG7AAB/NyvNBkOkZkZGRihVqhSCg4Px4sULpepkJqjt27eHpaWlwr5Dhw7hyZMnaN68uVLTr+YmISEBu3btAgD07ds3X+cYNWoUkpKSsGLFCnmSml/nz5/HokWLcObMGURHR8POzg7ly5dHv3790LdvX6xbt05h+EejRo3k22vXrsXAgQORlpaGP//8E2vWrMHjx4+RmJgIBwcHlC9fHn379kXPnj0/KUatoWsCdI56v61lVE6Gjx8//kkNSiQSjBkzBmPGjMG7dxm9L+bm5p90TiKigpAmlWHpsQcQAgjwtMbgOt6aDolIaWvWrEF0dDR0dHRQqlQpdOzYER4eHiqdQyqV4unTpwAyxu4qIzAwEED2CerRo0cBAM2aNUNsbCw2bNiAGzduwMDAANWqVUPXrl1haKjcnLPbt29HQkICKleunKWHWRn79u3Dpk2bMGvWLPj6+n5SMrx48WKMHTsWQghUq1YNDRo0QFRUFK5cuYJ79+6hb9++8PX1xYABA3DmzBk8evQILVq0kD+nvr6+ADKGlWzatAl2dnaoXbs2TExM8Pz5c5w+fRrx8fFFJxmWSAAje01HkTOhgs2bN4vevXuLbt26iVWrVqlStUiJjY0VAERsbKymQyGiAjR523XhOWmP8P1urwiLTtB0OERKadCggQCQ5aGvry9mzZql0rnWr18vAAh7e3uRnJyc5/Hnzp0TAIStra1ITU3Nsr9ly5YCgJg5c6ZwcXHJEqO3t7e4deuWUrE1b95cABALFy5U6ZqEECI+Pl54enqK0qVLi5SUFCGEEMePHxcARIsWLVQ618mTJ4VEIhEWFhbi+PHjCvtSUlLEgQMHFMoGDBggAGQ5NjQ0VAAQ1apVE0lJSQr7EhMTxblz51SKi7JSNl9Tumd49erVGD58OEqWLAkjIyNs27YNoaGhmDNnjlL1GzVqlOcwColEIv8USUSkTsFP3mDjxTBIJMCKPlXhbqN9X+URZad+/foYMmQIateuDWdnZzx79gxbt27F7NmzMW3aNFhYWGD06NF5nufZs2fyGR9mzZqlVI/tP//8AwDo2bOnws12mWJiMlZw/PHHH+Hp6YkjR46gevXqCA0Nxbhx43DkyBG0bdsWt27dgrGxcY7tREZG4ujRo9DV1UWvXr3yjOtjP/zwA54+fYpjx47BwMBA5fofmjt3LoQQmDZtGho2bKiwz8DAAC1atFDqPFFRGcMGateuDSMjI4V9xsbGqFWr1ifFqVWkKcCVsRnbVRYW3uWYly5diu+//x4//vgjAGDdunX45ptvlE6GcxsgHxcXh40bN6ptmhMiog/JZALzD9wDAHSr6oamZR01HBGR8j6eb7dUqVL47rvvEBAQgBYtWmD69OkYNmxYrslmQkICOnXqhNevX6Njx44YPnx4nu2mpaXJp0rNbhYJIGPYBQAIIbB79274+fkBAPz9/bFnzx74+voiNDQUgYGBGDJkSI5tbdiwAVKpFC1btlR6+EamS5cuYenSpejfv7/CuN38kEqlOHHiBABg2LBhn3SuMmXKwNTUFGvXrkW5cuXQuXNn2NraftI5tZZIBx4sz9iuPA/athyz0sMkTExMxKNHj+Q/p6enC319fREREZHf3muRlpYmFi9eLOzt7YWvr6/YuHFjvs+lThwmQVS0rDn9WHhO2iPKTt3P4RFUpAQEBAgA4tixYzkek5qaKlq0aCEAiLp164rExESlzr1r1y4BQJQsWTLHYxo1aiQAiDp16mS7f+LEiQKA6NOnT65tVa5cWQAQgYGBSsWWKS0tTVSqVEnY2NiIqKgohX35GSYRGRkpAAgHBwel6+Q0TEIIITZs2CDMzMwEACGRSESZMmXEiBEjxPnz55U+f6GQFi9EIDIeafFqa7bAh0kkJSUpTOatq6sLQ0NDJCYm5isJDwwMxLRp05CUlIQZM2Zg2LBh0NNT+X4+IqJP8uJtknz2iO/a+HF4BBUpJUuWxKVLlxAREZHtfplMhr59++LgwYOoWLEidu/enWsP8ocyZ5HIbWaHzHmPPT09c92fOWQgO3fu3EFISAjMzMzQsWNHpWLLFB4ejqtXr8LJySnLtG9v374FAFy8eBENGzaEmZkZ9uzZo9R5C2ohnl69eqFp06bYtWsXDh06hJMnT2LFihVYsWIFJkyYgHnz5hVIO5Q7lbLPP/74QyEhTk9Px7p16xRWUslrerQDBw5g8uTJCA0Nxfjx4zF27NgscxUTEanL6QevkJwmQ0U3S/Surtqd90TaLnPMbnYr0wHAyJEjsXnzZpQqVQqHDh2ClZWVUueNi4vD7t27AeSeDFeuXBlr167Fmzdvst0fHR2da3zA+3HJnTt3holJ/j6sRkZGIjIyMtt9MTExOHnyZJZp4bJjZ2cHY2NjvHz5Eu/evSuQ2bDs7e0xZMgQDBkyBEIIHDx4ED169MD8+fMxcOBAlC1b9pPboNwpnQx7eHjg999/VyhzcnKSv0iBjE9KOSXDFy9exKRJkxAUFIThw4fjyJEjXI6QiDQqOU2KbZefAwCqe9tw2WUqUl69eoXTp08DgHx9gA999913WLVqFTw8PHD48GGVVoHdunUrkpOTUadOnVwXk2jXrh1Gjx6N4OBgJCQkZOn8yhx/m118QMZY4w0bNgDIeVxybry8vCCEyHbfiRMn0KhRI7Ro0SLbRUiyo6uri4YNG2L//v34/fffMXbsWJVjyo1EIkHLli3Rpk0bbNy4ETdv3mQyrAZKJ8NPnjz5pIZq1qwJY2NjjBgxAl5eXvIX98e48AYRqcuCg/dw8ckbmBjooktVN02HQ6SyoKAgJCUloWHDhgof5p48eYK+ffsiISEB7du3h5ub4ut74cKFmDNnDpycnHDkyBGV5yPOHCKRV4Lq5eWFHj164N9//8WYMWOwfPly+ZDINWvW4OjRozAyMsKAAQOyrX/69Gk8ffoULi4uaNy4ca5tLVu2DMuWLUOnTp2Uvrk/PyZNmoQDBw7gxx9/RLVq1VCvXj35vrS0NBw7dkypGSVCQkIQGhqKdu3aKczEERMTgwsXLgCAyv8vlD9qG6Tr4eEBiUSCHTt25HhMbj3LREQFbdOlZwCA+V0rooyThYajIVLd3bt3MWjQIDg7O6NUqVJwcnJCeHg4Ll++jOTkZJQrVy7Lt7pXr17F+PHjAQDe3t746aefsj33kCFDULdu3Szlz58/x8mTJ2FgYIDu3bvnGeOyZctw5coV/P777zhy5AgqV66MJ0+e4MqVK9DV1cXq1avh7u6ebV1Vll9+/fo17t27l+P46ILSoEEDzJs3DxMmTED9+vVRvXp1+Pj4ICoqCteuXYOpqalSHYhPnz5Fly5dYGlpiYCAADg5OeHt27c4ffo04uLi0KlTJ9SsWfOzXgtlUFsy/Kk9y0REBellXDLeJacDAOr6csgWFU41atTAiBEjcOHCBdy+fRtnz56FqakpKlWqhG7dumHEiBFZboh7+/atfOjA+fPncf78+WzP3bBhw2yT4cDAQMhkMrRp0wbW1tZ5xmhra4vg4GDMnj0b27Ztw549e2Bubo727dtj0qRJqF27drb1UlJSsHXrVgD5X375cxk/fjyqVauGRYsW4dy5cwgJCYGDgwOqVq2K/v37K3WOmjVrYvbs2Th27Bju3buH06dPw9raGv7+/hg6dCh69+79ma9CjXSNgfah77e1jETkNJiGchQXFwdLS0vExsbCwoK9SUSF0Z7rL/D1hhCUdbbAvtH18q5ARESFirL5Wu7fORARFUFCCPx5JqOXokYJGw1HQ0REmsRkmIiKnV1XX+BK2FsY6etgRAMfTYdDRFS0SVOBkAkZD2mqpqPJIl/J8KNHj/DDDz+gV69e8omyDxw4gFu3bhVocEREn8OqU48BAMPq+8DBwkjD0RARFXEiDbizIOMh0jQdTRYqJ8MnT55EhQoVcOHCBWzfvh3x8fEAgOvXr2P69OnZ1hk7diwSEhIAAKdOnUJ6evonhExElH9CCIRFZ7wfta/oouFoiIhI01ROhidPnozZs2fj8OHDMDAwkJc3atQoxztSly5dKk+aGzVqlONKNEREn9upB6+RkCqFsb4u3Ky1765mIiJSL5WnVrtx40a2C2bY29vLl1X8mJeXF3799Vc0b94cQgicP38+x+lY6tevr2pIRERKCwnLWJ62VXknGOnrajgaIiLSNJWTYSsrK0RERMDb21uhPCQkBK6urtnWmT9/PoYPH445c+ZAIpGgU6dO2R4nkUgglUpVDYmISGkv3iYBANxsTDQcCRERaQOVh0n07t0bkyZNQmRkJCQSCWQyGc6ePYvx48fnONF0x44dERkZibi4OAghcO/ePcTExGR5cPgEEX1OQgicefAaAFDJ3VLD0RARkTZQuWf4p59+wsCBA+Hq6gohBMqWLQupVIrevXvjhx9+yLWumZkZjh8/Dm9vb/na5ERE6nIn4h1exCbDSF8HtX246hwREeUjGdbX10dgYCBmzZqFkJAQyGQyVK5cGSVLllSqfoMGDSCVSrFt2zbcuXMHEokEfn5+6NChA3R1OX6PiD6f4CcZ3z4FeNpwvDARkbroGgOtb77f1jIqJ8MnT55EgwYN4OPjAx8f1Serf/jwIdq0aYPw8HCULl0aQgjcv38f7u7u2Lt3b77OSUSUl/iUdKz+//mFK7lbaTYYIqLiRKIDWJXTdBQ5UnnMcLNmzeDh4YHJkyfj5s2bKjc4atQolChRAs+ePcOVK1cQEhKCsLAweHt7Y9SoUSqfj4goL1KZwPjN1/D8bRLcrI0xoiE/dBMRUQaVk+EXL15g4sSJOH36NPz9/eHv74958+YhPDxcqfonT57EvHnzYGNjIy+ztbXF3LlzcfLkSVXDISLK06bgZzhwKxIGujpY1KMSTA15zwIRkdpIU4HrMzIeRWE5Zjs7O3z99dc4e/YsHj16hB49euDvv/+Gl5cXGjdunGd9Q0NDvHv3Lkt5fHy8wiIeREQFITVdhuUnHgIAxjUvhWpeNnnUICKiAiXSgJszMx5FYTnmD3l7e2Py5MmYO3cuKlSooFTPbtu2bTFs2DBcuHABQggIIRAUFIThw4ejffv2nxIOEZGCqHfJ6LbyHMJjkqCnI0HrCs6aDomIiLRMvpPhs2fPYuTIkXB2dkbv3r1Rrlw57NmzJ896v/76K3x8fFCrVi0YGRnByMgIderUga+vL5YsWZLfcIiIFES9S0b3ledxLTwWVib6WNa7Cty50AYREX1E5YFz3333HTZu3IgXL16gadOmWLx4MTp27AgTE+X+yFhZWWHXrl14+PAh7ty5I5+r2NfXV+XgiYiycy/yHYb9cwlPoxPhZm2M9V/UgJedqabDIiIiLaRyMnzixAmMHz8ePXr0gJ1d/iet9/X1ZQJMRJ/F6H9D8DQ6Ea5WxggcUgOetkyEiYgoeyonw+fOnfsccRARFYg3Cam4G5lxk+6mL2vCzZpDI4iIKGdKJcP//fcfWrVqBX19ffz333+5Hsub4IhIU9KkMkzceg0A4GBuyESYiIjypFQy3LFjR0RGRsLBwQEdO3bM8TiJRAKpVFpQsRERqWT2nts4cicKBno6mNfVX9PhEBERAOgYAS0uvt/WMkolwzKZLNttIiJtcTcyDusvhAEAfupYHg1LO2g4IiIiAgDo6AK21TQdRY5Unlrt77//RkpKSpby1NRU/P3333nW9/LywqxZsxAWFqZq00REORq98SqkMoHSjuboUMlV0+EQEVEhoXIyPGjQIMTGxmYpf/fuHQYNGpRn/XHjxmHXrl0oUaIEmjVrhn///Tfb5JqISFnhMYm49zLjprnV/avCQO+T1hMiIqKCJE0Fbs/PeBSF5ZiFEJBIJFnKw8PDYWlpmWf9b775BpcvX8bly5dRtmxZjBo1Cs7Ozvj6669x5coVVcMhIsLe6xEAgNo+tpxGjYhI24g04OrEjIcWLses9NRqlStXhkQigUQiQZMmTaCn976qVCpFaGgoWrZsqXTDFStWxJIlS7BgwQIsX74ckyZNwooVK1C+fHmMHj0agwYNyjbpJiL62MXQNwCAeiXtNRwJEREVNkonw5mzSFy9ehUtWrSAmZmZfJ+BgQG8vLzQpUsXpRtOS0vDjh07sHbtWhw+fBg1a9bEF198gRcvXuD777/HkSNHsGHDBuWvhIiKpb3XI3D0bhQAoF7J/C8ERERExZPSyfD06dMBZNwA16NHDxgZ5W9qjCtXrmDt2rXYuHEjdHV10a9fPyxatAhlypSRH9O8eXPUr18/X+cnouLjwuNojNl0FQAwpK43yrvmPVSLiIjoQyqvQDdgwIBParBatWpo1qwZVqxYgY4dO0JfXz/LMWXLlkXPnj0/qR0iKvq+33kTqVIZWpRzxJTWfpoOh4iICiGVk2GpVIpFixZh8+bNCAsLQ2qq4l2Bb968ybX+48eP4enpmesxpqamWLt2raqhEVEx8iYhFQ+j4iGRAHM7+0NXh/cYEBGR6lSeTWLmzJlYuHAhunfvjtjYWIwdOxadO3eGjo4OZsyYkWf9Ro0aITo6Okv527dvUaJECVXDIaJiKuxNIgDA0dwI1qYGGo6GiIgKK5WT4cDAQPz+++8YP3489PT00KtXL/zxxx+YNm0agoKC8qz/5MmTbJdsTklJwfPnz1UNh4iKqathMQAAdxtjDUdCRES50jECmhzPeBTW5Zg/FBkZiQoVKgAAzMzM5AtwtG3bFlOnTs2x3n///SffPnjwoMKcxFKpFEePHoWXl5eq4RBRMZSSLsXiow8AAHV9OZ0aEZFW09EFHBtqOoocqZwMu7m5ISIiAh4eHvD19cWhQ4dQpUoVBAcHw9DQMMd6mVOzSSSSLDfh6evrw8vLC7/88ouq4RBRMXTrRRzeJqbB0lgfIxr6aDocIiIqxFROhjt16oSjR4+iRo0aGD16NHr16oU1a9YgLCwMY8aMybGeTCYDAHh7eyM4OBh2dpwPlIhUJ5MJHLwZCQAI8LTm0stERNpOlgY8XJ2x7TsM0Mk6k5gmSYQQ4lNOEBQUhHPnzsHX1xft27cvqLi0WlxcHCwtLREbGwsLCwtNh0NUbKSkS9FrdRCuhL0FAMxoVxYD63hrNigiIspdegKw+f8Xa+seD+iZqqVZZfM1lXuGP1azZk3UrFkz12N+/fVXDBs2DEZGRvj1119zPXbUqFGfGhIRFVHXnsXKE+FxzUqhXy0vjcZDRESFn1LJ8Ic3v+Ulu97hRYsWoU+fPjAyMsKiRYtyrCuRSPKVDC9fvhzz589HREQEypUrh8WLF6NevXp51jt79iwaNGiA8uXL4+rVqyq3S0Tq9de5JwCAxmUc8E2TkpoNhoiIigSlkuHMm9/yIpFIsp02LTQ0NNvtgrBp0yZ8++23WL58OerUqYNVq1ahVatWuH37Njw8PHKsFxsbi/79+6NJkyZ4+fJlgcZERAVPCIET96IAAN809tVwNEREVFQodeeJTCZT6pFdIvy5LVy4EF988QWGDBkCPz8/LF68GO7u7lixYkWu9b788kv07t0btWrVUlOkRPQpAi+EISFVCl0dCUo7mWs6HCIiKiI+ecywMsaOHav0sQsXLlT62NTUVFy+fBmTJ09WKG/evDnOnTuXY721a9fi0aNHWL9+PWbPnp1nOykpKUhJSZH/HBcXp3SMRPTpDt2KxNRdNwEAIxr4wMRALW9dRERUDKj8F2XWrFm57p82bVqWspCQEKXOLZFIVIrl9evXkEqlcHR0VCh3dHREZGRktnUePHiAyZMn4/Tp09DTU+7y58yZg5kzZ6oUGxEVnDVnQiEE0Ku6O8Y1L6XpcIiIqAhRORnesWOHws9paWkIDQ2Fnp4efHx8sk2Gjx8/nv8IlfBxEi2EyDaxlkql6N27N2bOnIlSpZT/gzplyhSF3u24uDi4u7vnP2AiUlpiajqu/P/Sy1/W91H5QzMREWmYjiHQYM/7bS2jcjKcXS9vXFwcBg4ciE6dOhVIUMqys7ODrq5ull7gqKioLL3FAPDu3TtcunQJISEh+PrrrwFkjIcWQkBPTw+HDh1C48aNs9QzNDTMdXU9Ivp8roa9RZpUwNXKGJ62JpoOh4iIVKWjB7i20XQUOSqQgXcWFhaYNWsW2rZti379+mXZ37lzZ6xbtw4WFhbo3Llzrufavn270u0aGBigatWqOHz4sEIifvjwYXTo0CHbOG/cuKFQtnz5chw7dgxbt26Ftzcn7yfSNnci3wEA3KyN2StMREQFrsDuQnn79i1iY2Oz3WdpaSn/I2ZpaVlQTQLIuDmvX79+CAgIQK1atbB69WqEhYVh+PDhADKGODx//hx///03dHR0UL58eYX6Dg4OMDIyylJORNrhwM0IABlzCxMRUSEkSwOeBGZse/XRuuWYVU6GP15BTgiBiIgI/PPPP2jZsmW2ddauXZvtdkHo0aMHoqOjMWvWLERERKB8+fLYt28fPD09AQAREREICwsr0DaJSD3uRb7D5acZ44UblLbXcDRERJQvslQgaFDGtkc3rUuGJUIIoUqFj4cS6OjowN7eHo0bN8aUKVNgbq7c/J9RUVG4d+8eJBIJSpUqBQeHwtPro+xa10T0aZYefYBfDt9H/VL2+HtwdU2HQ0RE+ZGeAGw2y9juHg/omaqlWWXzNZV7hj91Bbm4uDh89dVX+Pfff+WLdOjq6qJHjx747bffCnwYBREVXpsvPwMAtCiX9YZYIiKigqDUCnQFaciQIbhw4QL27NkjH2e8Z88eXLp0CUOHDlV3OESkhULCYtB91Xk8e5MEAKjhbavhiIiIqKhSuWc4OTkZS5cuxfHjxxEVFQWZTKaw/8qVK7nW37t3Lw4ePIi6devKy1q0aIHff/89xzHHRFR87Lr6HOM2X0O6TEBfV4Le1T1Qwk49X6kREVHxo3IyPHjwYBw+fBhdu3ZF9erVVZ7qyNbWNtuhEJaWlrC2tlY1HCIqQtKkMszeewfpMoFGpe0xp7M/nCyNNB0WEREVYSonw3v37sW+fftQp06dfDX4ww8/YOzYsfj777/h7OwMAIiMjMSECRMwderUfJ2TiIqGJUce4NW7FJga6GJp7yowMyyw2R+JiIiypfJfGldXV6VnjMhUuXJlhR7kBw8ewNPTEx4eHgCAsLAwGBoa4tWrV/jyyy9VDYmIioBX71Lw9/knAID/da7ARJiIqKjQMQTqbn6/rWVU/mvzyy+/YNKkSVi5cqV8Lt+8dOzYUdVmiKgYSUqVYvj6y4hLToefswXa+rtoOiQiIiooOnoZ8wtrKZWT4YCAACQnJ6NEiRIwMTGBvr7ixMlv3rzJUmf69On5j5CIirw/Tj/G5acxsDDSw9JelaCrw2WXiYhIPVROhnv16oXnz5/jf//7HxwdHVW+gY6I6EPJaVKsv/AUADCzQzn4Oqg2DIuIiLScLB0I35Gx7dYpo6dYi6gczblz53D+/HlUrFgxXw1KpVIsWrQImzdvRlhYGFJTUxX2Z9ezTERF18zdt/EyLgXmRnpoUc5J0+EQEVFBk6UAZ7pnbHeP17pkWOVFN8qUKYOkpKR8Nzhz5kwsXLgQ3bt3R2xsLMaOHYvOnTtDR0cHM2bMyPd5iahwOvPwFQDghzZ+MDHQrjdIIiIq+lROhufOnYtx48bhxIkTiI6ORlxcnMIjL4GBgfj9998xfvx46OnpoVevXvjjjz8wbdo0BAUF5esiiKjwepuYBgCo6mmj4UiIiKg4UrkbJnOVuCZNmiiUCyEgkUgglUpzrR8ZGYkKFSoAAMzMzBAbGwsAaNu2LecZJipm0qQyvEtOBwDYmhpoOBoiIiqOVE6Gjx8//kkNurm5ISIiAh4eHvD19cWhQ4dQpUoVBAcHw9BQ++aeI6LPZ82ZUACAqYEuLIz18ziaiIio4KmcDDdo0OCTGuzUqROOHj2KGjVqYPTo0ejVqxfWrFmDsLAwjBkz5pPOTUSFR2xiGpYceQAAmNyqDKdTIyIijVA5GT516lSu++vXr5/r/rlz58q3u3btCjc3N5w7dw6+vr5o3769quEQUSF19tFrJKVJ4WNvir41lVvAh4iIqKCpnAw3bNgwS9mHcw3nNWb4YzVr1kTNmjVVDYOICrmHUfEAgIpuVpyvnIioKNMxAGqufb+tZVROhmNiYhR+TktLQ0hICKZOnYqffvpJqXPcu3cPS5cuxZ07dyCRSFCmTBl88803KF26tKrhEFEhdeh2JACgkoeVZgMhIqLPS0cfKDFQ01HkSOVk2NLSMktZs2bNYGhoiDFjxuDy5cu51t+6dSt69eqFgIAA1KpVCwAQFBSE8uXLY8OGDejWTXvXriaigvHg5TvcfB4HPR0J2lRw1nQ4RERUjBXYDPf29va4d+9ensdNnDgRU6ZMwaxZsxTKp0+fjkmTJjEZJirihBCYvP0GAKBhaXvYmnEWGSKiIk2WDkQczNh2bqF1K9CpHM3169cVfhZCICIiAnPnzlVqiebIyEj0798/S3nfvn0xf/58VcMhokLmSthbXH4aA2N9XUxrW07T4RAR0ecmSwFOts3Y1sLlmFWOplKlSpBIJBBCKJTXrFkTf/75Z571GzZsiNOnT8PX11eh/MyZM6hXr56q4RBRIXPgZgQAoEU5R3jYmmg4GiIiKu5UToZDQ0MVftbR0YG9vT2MjIxyrPPff//Jt9u3b49Jkybh8uXL8lkkgoKCsGXLFsycOVPVcIiokHkSnQgAqOhupdlAiIiIAEjEx128n4GOjo5SxymznLM2iIuLg6WlJWJjY2FhYaHpcIgKlao/HkZ0Qiq2Dq+FAC8bTYdDRESfW3oCsNksY7t7PKBnqpZmlc3XlMtSARw7dgxly5ZFXFxcln2xsbEoV64cTp8+nW1dmUym1KMwJMJElH/vktMQnZAKACjjzA+SRESkeUonw4sXL8bQoUOzzawtLS3x5ZdfYuHChQUaHBEVHeExiRi/5RoAwNnSCGaG2nUDBRERFU9KJ8PXrl1Dy5Ytc9zfvHnzPOcYznTy5Em0a9cOvr6+KFmyJNq3b59jrzIRFX5RcclotvAUDt56CQD4oq63hiMiIiLKoHQy/PLlS+jr6+e4X09PD69evcrzPOvXr0fTpk1hYmKCUaNG4euvv4axsTGaNGmCDRs2KBsOERUit17EISlNCgdzQ2wcWpPJMBFRcaJjAAQsy3gU5uWYXV1dcePGjSxTomW6fv06nJ3zXknqp59+wrx58zBmzBh52ejRo7Fw4UL8+OOP6N27t7IhEVEhceh2Ro9wFQ9r1PKx1XA0RESkVjr6QKmvNB1FjpTuGW7dujWmTZuG5OTkLPuSkpIwffp0tG3bNs/zPH78GO3atctS3r59+yzTthFR4Xf6wStsvBgGAOhfy1PD0RARESlSumf4hx9+wPbt21GqVCl8/fXXKF26NCQSCe7cuYPffvsNUqkU33//fZ7ncXd3x9GjR7P0MB89ehTu7u6qXwERabVNwc8AAH1reqC2r52GoyEiIrWTSYFX/39vmH09QEdXs/F8ROlk2NHREefOncOIESMwZcoU+Qp0EokELVq0wPLly+Ho6JjnecaNG4dRo0bh6tWrqF27NiQSCc6cOYN169ZhyZIl+b8SItJK18LfAgBalc97GBURERVBsmTgaKOM7e7xgI565hlWlkpzG3l6emLfvn2IiYnBw4cPIYRAyZIlYW1trfQ5RowYAScnJ/zyyy/YvHkzAMDPzw+bNm1Chw4dVIueiLTa28RUPHuTBACo4Gap4WiIiIiyytdEn9bW1qhWrZrK9dLT0/HTTz9h8ODBOHPmTH6aJqJCJCI24x4DW1MDWBjlPBsNERGRpih9A11B0NPTw/z587nSHFExcf3/h0jYmxtqNhAiIqIcqDUZBoCmTZvixIkT6m6WiDTg8O0oAEBbf44XJiIi7aT29VBbtWqFKVOm4ObNm6hatSpMTRUHUbdv317dIRHRZ/Iw6h2AjPmFiYiItJHak+ERI0YAABYuXJhln0Qi4RAKoiIiOU2Kp28SAQAlHc01HA0REVH21J4My2QydTdJRBoQ+joBQgCWxvqwM9O+5TeJiEhNJPpApXnvt7WMWpPhp0+f4tChQ0hPT0eDBg1QtmxZdTZPRGoUk5AKAHAwN4REItFwNEREpDG6BkDZCZqOIkdqS4ZPnTqF1q1bIzEx42tTPT09/PXXX+jVq5e6QiAiNXoVnwIAsDZhrzAREWkvtc0mMXXqVDRq1Ajh4eGIjo7G4MGDMXHiRHU1T0RqdvlpDACgpKOZhiMhIiKNkkmB6OCMh0z77g1TWzJ848YNzJkzBy4uLrC2tsYvv/yCFy9eICYmRl0hEJEaXXqS8btds4SthiMhIiKNkiUDB6tnPGTJmo4mC7Ulw2/fvoWDg4P8Z1NTU5iYmODt27fqCoGI1OTMg9e4HREHfV0JqnnZaDocIiKiHKn1Brrbt28jMjJS/rMQAnfu3MG7d+/kZf7+/uoMiYgK2B+nH2PewXsAgNYVnOFkaaThiIiIiHKm1mS4SZMmEEIolLVt2xYSiQRCCM4zTFTIxaek46d9dyAEUNnDCpNbldF0SERERLlSWzIcGhqqrqaISENO338FIQADPR1sH1GbU6oREZHWU1sy7Onpqa6miEiN0qUy7L0RgV1XX+DU/VcAgM6VXZkIExFRoaD2FeiIqGhZcvQBlh57KP+5eVlHzGhfToMRERERKY/JMBF9kuAnbwAApR3N8VufyvB1MNdwREREpFUk+kD56e+3tQyTYSLKt2dvEhH0OCMZXtWvKrzsTDUcERERaR1dA8B/hqajyJHa5hkGMqZSe/r0KZKSktTZLBF9Bo9exaPl4lMAADdrY3jammg4IiIiItWpPRkuWbIkwsPD1dksEX0G/119gYRUKXwdzPDHgADeMEdERNkTMuDtrYyHkGk6mizUmgzr6OigZMmSiI6OVmezRPQZRL3LWFKznb8LyjhZaDgaIiLSWtIkYF/5jIdU+0YHqDUZBoB58+ZhwoQJuHnzprqbJqICFBWXAgBwsDDUcCRERET5p/Yb6Pr27YvExERUrFgRBgYGMDY2Vtj/5s0bdYdERCqKTUrDtfBYAOByy0REVKipPRlevHixupskogIUk5CKLivO4XV8ChzMDVGrhK2mQyIiIso3tSfDAwYMUHeTRFRAZDKBH/fcxuPXCXAwN8SfA6vBSF9X02ERERHlm0bmGZZKpdi5cyfu3LkDiUSCsmXLon379tDV5R9VIm3259lQbA95DokEWNCtIsq7Wmo6JCIiok+i9mT44cOHaN26NZ4/f47SpUtDCIH79+/D3d0de/fuhY+Pj7pDIqI8CCFw4GYk5u6/CwAYVq8E6pey13BUREREn07tyfCoUaPg4+ODoKAg2NjYAACio6PRt29fjBo1Cnv37lV3SESUi5vPY/HDzpu4+uwtAMDH3hQjGvJDKxERKUmiD/iNf7+tZSRCCKHOBk1NTREUFIQKFSoolF+7dg116tRBfHy8OsPJl7i4OFhaWiI2NhYWFpxflYquk/dfYejfl5CaLoOxvi6+qOuNrxv7cpwwERFpPWXzNbX3DBsaGuLdu3dZyuPj42FgYKDucIgoB0II/HLoHlLTZajhbYOlvSvDwZzTqBERUdGi9kU32rZti2HDhuHChQsQQkAIgaCgIAwfPhzt27dXdzhElIM/z/5fe3ceV1P+/wH8dbvV7bbToqIFJQopYWJUlkS2GUaWUDSWsS9j37INg762oWG0WAbZx74rkjVFCEnJmJpEWrTf+/n90a8zrttt55bez8fjPtx7zud8zvt8Ok7vPvdzPicBD/5OhzJfAesHt6FEmBBCSOUwMZCVUPSq649jBoBNmzahadOmcHBwgIqKClRUVNCpUyeYm5tj48aNXzocQkgJzj1KxqrTMQCARX1awEhbWMYWhBBCiAyiHOB446JXDXwc8xcfJqGtrY2//voLz58/R0xMDBhjsLKygrm5+ZcOhRBSgszcAkzbH4VCMcMA24YY/o2pvEMihBBCPhu5zDMMAObm5pQAE1LDpH3Ix9A/biKnQARddQHW/NAaPB5P3mERQgghn80XGSaxevVqZGdnl6vsrVu3aHo1QuRka8hzPEnORD1VJfw2zBaK/C8+kooQQgj5or7Ib7rHjx/DxMQEP/30E86cOYM3b95w6woLC/HgwQNs3boVHTt2xJAhQ2i6MkLk4NW7bPiHxQMAFvS2wjdNdOQcESGEEPL5fZFhErt27cKDBw+wZcsWeHh4ID09HXw+HwKBgOsxtrW1xdixY+Hp6QmBQPAlwiKE/L/cAhHct92AmAEaKopwtqSnyxFCCKkbvvhDNxhjePDgARISEpCTkwNdXV20adMGurq6XzKMKqGHbpCvyd9p2Zj45z3c/zsdGiqKODW5M0x0VOUdFiGEkK9F4QfggHrRe/csQFHti+y2xj50g8fjwcbGBjY2Nl9614SQTxSKxBi7KwKPkzKgpszHukE2lAgTQgipXjxFwGLCf+9rmJoXESHki8gvFOPXs0/wOCkDGgJFnJzyLUx1vsxf64QQQuoQvgBot0XeUcj0VdwqvnXrVjRu3BgqKipo27Ytrl27JrPskSNH4OLiAj09PWhqasLBwQHnzp37gtESIn8iMUO/38K4G+YGtm1EiTAhhJA6qdYnw8HBwZg2bRoWLFiAyMhIdO7cGb169UJiYmKJ5a9evQoXFxecPn0aERER6NKlC/r27YvIyMgvHDkh8vEmMw/TgqPwJDkTALC4jxXmuTWXc1SEEEK+WowBuW+KXl/2VrVy+eI30FW3Dh06wM7ODn5+ftyyFi1a4LvvvsOqVavKVYe1tTUGDx6MxYsXl6s83UBHaqt3H/Lx/dbrePm2aBaXgXaN4OtO4/cJIYR8RnQD3eeTn5+PiIgIzJ07V2J5jx49EB4eXq46xGIxMjMzUb9+fZll8vLykJeXx33OyMioXMCEyNn6C8/w8m02GtUTYt0gG5pLmBBCSJ1Xq4dJpKamQiQSoUGDBhLLGzRogOTk5HLV4evriw8fPsDd3V1mmVWrVkFLS4t7GRsbVyluQuTlwuN/AQArvmtJiTAhhBCCWp4MF+PxeBKfGWNSy0qyb98++Pj4IDg4GPr6+jLLzZs3D+np6dzr1atXVY6ZkC8t8W02/s3MBQC0bKgl52gIIYSQmqFWD5PQ1dUFn8+X6gVOSUmR6i3+VHBwMLy9vXHw4EF079691LICgYCeikdqNcYYfj54H4wBHRrXh646nc+EEEIIUMt7hpWVldG2bVtcuHBBYvmFCxfQsWNHmdvt27cPXl5e2Lt3L3r37v25wyRE7q7GpuJ2wjsIFBWwbhDdMEcIIYQUq9U9wwAwY8YMjBgxAvb29nBwcMD27duRmJiI8ePHAyga4vD69Wvs2rULQFEiPHLkSGzcuBHffPMN16ssFAqhpUVfHZOvz+ZLsdh8+TkAYGh7ExjXpyfMEUIIIcVqfTI8ePBgvH37FsuWLUNSUhJatmyJ06dPw9TUFACQlJQkMefwtm3bUFhYiIkTJ2LixIncck9PTwQFBX3p8An5rB78/R6+F54BADpb6GJ692ZyjogQQkidw1MEGnv+976GqfXzDMsDzTNMarr07AKcjP4Hv4fG4dW7HHRsqoM/f+xQrhtLCSGEkK9BnZhnmBAi7e+0bPTacA2ZeYUAAA0VRaz4riUlwoQQQkgJKBkm5CuS9iEfU/dHcYnwfLfm+M62IfQ1VOQcGSGEkDqLMUBU9ORT8FWBGtY5Q8kwIV8Jxhgm74tExMs0KPF52DLMDj2sDeQdFiGEkLpOlC2XxzGXFyXDhHwl9t1+hbDnqRAoKiB4nAPaGGvLOyRCCCGkxqNkmJBaLiUjF0tPPMap6CQAgFdHM0qECSGEkHKiZJiQWiz02RtM2nsPmbmF4Cvw4P1tY8zoQdOnEUIIIeVFyTAhtdTlJ/9izK4IiMQMrRtpYdWAVrA2ogfHEEIIIRVByTAhtVB+oRgzD9yHSMzQz8YI6wbZQFmxVj9dndQijDEUFhZCJBLJOxRCSG1QmAcoFz0MDbl5gCK/Wqrl8/lQVFSs8tShlAwTUgvdjn+HtOwC6Korw9fdBkp8SoTJl5Gfn4+kpCRkZ2fLOxRCSG3BxIDZ70XvE5MAXvX9zlJVVYWhoSGUlZUrXQclw4TUMrkFIvx56yUAoGtzfUqEyRcjFosRHx8PPp8PIyMjKCsr08NcCCFlY2IgW6novWqjakmGGWPIz8/HmzdvEB8fDwsLCygoVK5eSoYJqUX+zcjF0O038SL1AwCgn01DOUdE6pL8/HyIxWIYGxtDVVVV3uEQQmoTYfXf3C0UCqGkpISXL18iPz8fKiqVe8AUdSkRUktk5BbAM+A2XqR+QANNAfw87PCtha68wyJ1UGV7XwghpLpVx/WIeoYJqQXuJLzDzAP3kfguG7rqAhwa3xHG9alnjhBCCKkqSoYJqcEYYwh59gYT9txDToEIhloq+GOkPSXChBBCag8mAt5FFr2vbwvwqmc2iepC33URUkPdSXiHbv8LxajAO8gpEMGmkRbOT3dEy4Y0lzAhX6tjx47B3NwcfD4f06ZNk3c4NZ6Xlxe+++67aqsvISEBPB4PUVFR1Vbnl8Dj8XDs2DF5h1FrUTJMSA304k0WvAJu48WbD1BT5mNYBxP4e7WDhoqSvEMjpNZKTk7G5MmT0aRJEwgEAhgbG6Nv3764dOkSV8bMzAw8Hg88Hg9CoRBmZmZwd3fH5cuXJeoqTpo+fQ0fPrxKMY4bNw4//PADXr16heXLl5dYpjjG/fv3S62ztrYGj8dDUFBQleKoDl5eXly7KCkpoUmTJvj555/x4cMHucZV0s/t22+//eJx5OfnQ1dXFytWrChx/apVq6Crq4v8/PwvHFndQ8MkCKmBfg+Nw4d8EdqZ1UPgqPZQF9B/VUKqIiEhAZ06dYK2tjbWrFmD1q1bo6CgAOfOncPEiRPx5MkTruyyZcswZswY5OfnIyEhAXv27EH37t2xfPlyLFiwQKLeixcvwtramvssFAorHWNWVhZSUlLg6uoKIyOjUssaGxsjMDAQQ4YM4ZbdvHkTycnJUFNTq3QM1a1nz54IDAxEQUEBrl27hh9//BEfPnyAn5+fXOMKDAxEz549uc9VmaO2spSVlTF8+HAEBQVhwYIFUtMUBgYGYsSIEXKJra6hnmFCapCHr9Px4867OBjxNwBgbq/mlAgTUg0mTJgAHo+H27dv44cffkCzZs1gbW2NGTNm4ObNmxJlNTQ0YGBgABMTEzg6OmL79u1YtGgRFi9ejKdPn0qU1dHRgYGBAffS0pI9jCktLQ0jR45EvXr1oKqqil69eiE2NhYAEBISAg0NDQBA165dwePxEBISIrMuDw8PhIaG4tWrV9yygIAAeHh4QFFR8pqRnp6OsWPHQl9fH5qamujatSvu37/PrY+Li0P//v3RoEEDqKuro127drh48aJEHWZmZvjll18wevRoaGhowMTEBNu3b5cZXzGBQAADAwMYGxtj2LBh8PDw4L7OZ4xhzZo1aNKkCYRCIWxsbHDo0CFuW5FIBG9vbzRu3BhCoRCWlpbYuHFjqfuLiIiAvr4+Vq5cWWo5bW1tiZ9b/fr1ZZYNDQ1F+/btIRAIYGhoiLlz56KwsBAAcOLECWhra0MsFgMAoqKiwOPxMGvWLG77cePGYejQoSXW7e3tjbi4OFy9elVi+bVr1xAbGwtvb2/cuXMHLi4u0NXVhZaWFpycnHDv3j2Z8YaEhIDH4+H9+/fcsuK4EhISuGXh4eFwdHSEUCiEsbExpkyZItFrv3XrVlhYWEBFRQUNGjTADz/8IHOftR0lw4TUEIwxeOy4hYsx/4IxwKODCexM6sk7LEJqvXfv3uHs2bOYOHFiib2m2traZdYxdepUMMbw119/VToOLy8v3L17F8ePH8eNGzfAGIObmxsKCgrQsWNHLtE+fPgwkpKS0LFjR5l1NWjQAK6urti5cycAIDs7G8HBwRg9erREOcYYevfujeTkZJw+fRoRERGws7NDt27d8O7dOwBFPdJubm64ePEiIiMj4erqir59+yIxMVGiLl9fX9jb2yMyMhITJkzATz/9JNGjXh5CoRAFBQUAgIULFyIwMBB+fn549OgRpk+fjuHDhyM0NBRA0UNeGjVqhAMHDuDx48dYvHgx5s+fjwMHDpRYd0hICLp164alS5dK9eBX1uvXr+Hm5oZ27drh/v378PPzg7+/Pze0wdHREZmZmYiMLLo5LDQ0FLq6utwxFMfl5ORUYv2tWrVCu3btEBgYKLE8ICAA7du3R8uWLZGZmQlPT09cu3YNN2/ehIWFBdzc3JCZmVnp44qOjoarqysGDBiABw8eIDg4GGFhYZg0aRIA4O7du5gyZQqWLVuGp0+f4uzZs3B0dKz0/mo8RiosPT2dAWDp6enyDoV8RY7ce8VM55xkpnNOspgkOrdIzZOTk8MeP37McnJy5B1Khdy6dYsBYEeOHCmzrKmpKVu/fn2J6xo0aMB++uknxhhj8fHxDAATCoVMTU2Ne927d6/EbZ89e8YAsOvXr3PLUlNTmVAoZAcOHGCMMZaWlsYAsCtXrpQrxmPHjrGmTZsysVjMdu7cyWxtbRljjGlpabHAwEDGGGOXLl1impqaLDc3V6KOpk2bsm3btsnch5WVFdu8ebPEPocPH859FovFTF9fn/n5+cmsw9PTk/Xv35/7fOvWLaajo8Pc3d1ZVlYWU1FRYeHh4RLbeHt7s6FDh8qsc8KECWzgwIFS+zh27BjT0NBge/fulbltMQBMRUVF4ud29OhRxth/P9fIyEjGGGPz589nlpaWTCwWc9tv2bKFqaurM5FIxBhjzM7Ojq1bt44xxth3333HVq5cyZSVlVlGRgZLSkpiAFhMTIzMePz8/JiamhrLzMxkjDGWmZnJ1NTUZP58CgsLmYaGBjtx4oTEMRUfw5UrVxgAlpaWxq2PjIxkAFh8fDxjjLERI0awsWPHStR77do1pqCgwHJyctjhw4eZpqYmy8jIKL0xy0tcyFjqnaKXuLB66vx/pV2XypuvUc8wITXAq3fZWHriMQBgYpemaG6gKeeICPl6MMYAoMqPjmaMSdURHByMqKgo7mVlZVXitjExMVBUVESHDh24ZTo6OrC0tERMTEyl4unduzeysrJw9epVBAQESPUKA0XDBrKysqCjowN1dXXuFR8fj7i4OADAhw8fMHv2bFhZWUFbWxvq6up48uSJVM9w69atufc8Hg8GBgZISUkpNcaTJ09CXV0dKioqcHBwgKOjIzZv3ozHjx8jNzcXLi4uEnHt2rWLiwsAfv/9d9jb20NPTw/q6ur4448/pOK6desWBg4ciJ07d8ocjvCp9evXS/zcXFxcSiwXExMDBwcHiZ97p06dkJWVhb//LhrO5uzsjJCQEDDGcO3aNfTv3x8tW7ZEWFgYrly5ggYNGqB58+YyYxk6dCjEYjGCg4MBFJ1TjDFuPHhKSgrGjx+PZs2aQUtLC1paWsjKypJqh4qIiIhAUFCQRNu7urpyj1x3cXGBqakpmjRpghEjRuDPP/9EdnZ2pfcH8ABlraIXat4j3GkwIiFy9uJNFvpsDkN2vgiaKooY3amxvEMi5KtiYWEBHo+HmJiYSk/D9fbtW7x58waNG0v+/zQ2Noa5uXmZ2xcn5CUtr2ySrqioiBEjRmDJkiW4desWjh49KlVGLBbD0NCwxPHHxcNDZs2ahXPnzmHdunUwNzeHUCjEDz/8IDWLgZKS5Gw2PB6PGysrS5cuXeDn5wclJSUYGRlxdcTHxwMATp06hYYNJR8rLxAIAAAHDhzA9OnT4evrCwcHB2hoaGDt2rW4deuWRPmmTZtCR0cHAQEB6N27d7luODMwMCj3z+3Tn8+nf1w5OzvD398f9+/fh4KCAqysrODk5ITQ0FCkpaXJHCJRTEtLCz/88AMCAwPh7e2NwMBA/PDDD9DULOoU8fLywps3b7BhwwaYmppCIBDAwcFB5iwTxU9k+/icKx6aUkwsFmPcuHGYMmWK1PYmJiZQVlbGvXv3EBISgvPnz2Px4sXw8fHBnTt3yjWsSApPAdCwqPh2Xwj1DBMiZ2ceJiM7X4QGmgIc+qkjdNQF8g6JkK9K/fr14erqii1btpQ4rdfHNxrJsnHjRigoKFQ6mbayskJhYaFEIvf27Vs8e/YMLVq0qFSdADB69GiEhoaif//+qFdP+h4DOzs7JCcnQ1FREebm5hIvXd2ix7lfu3YNXl5e+P7779GqVSsYGBhI3GhVFWpqajA3N4epqalEMm1lZQWBQIDExESpuIyNjbm4OnbsiAkTJsDW1hbm5uYSvcbFdHV1cfnyZcTFxWHw4MFSiV9VWFlZITw8XCKxDA8Ph4aGBpfEF48b3rBhA5ycnMDj8eDk5ISQkJBSxwt/zNvbG9evX8fJkydx/fp1eHt7c+uuXbuGKVOmwM3NDdbW1hAIBEhNTZVZl56eHgAgKSmJW/bpvMl2dnZ49OiRVNubm5tzf0woKiqie/fuWLNmDR48eICEhASpKQa/FpQMEyJn0X+nAwC+t22EZg005BwNIV+nrVu3QiQSoX379jh8+DBiY2MRExODTZs2wcHBQaJsZmYmkpOT8erVK1y9ehVjx47FihUrsHLlynL1JpbEwsIC/fv3x5gxYxAWFob79+9j+PDhaNiwIfr371/p42rRogVSU1OlbsAq1r17dzg4OOC7777DuXPnkJCQgPDwcCxcuBB3794FAJibm+PIkSOIiorC/fv3MWzYsDJ7fKtKQ0MDP//8M6ZPn46dO3ciLi4OkZGR2LJlC3dToLm5Oe7evYtz587h2bNnWLRoEe7cuVNiffr6+rh8+TKePHmCoUOHcrM9VNWECRPw6tUrTJ48GU+ePMFff/2FJUuWYMaMGVwPrJaWFtq0aYM9e/bA2dkZQFGCfO/ePTx79oxbVhonJyeYm5tj5MiRMDc3l7hZzdzcHLt370ZMTAxu3boFDw+PUqfwK/6DwsfHB8+ePcOpU6fg6+srUWbOnDm4ceMGJk6ciKioKMTGxuL48eOYPHkygKLhLZs2bUJUVBRevnyJXbt2QSwWw9LSsoItWDtQMkyIHOXki3D+cTIAoHsLfTlHQ8jXq3Hjxrh37x66dOmCmTNnomXLlnBxccGlS5ek5rxdvHgxDA0NYW5ujhEjRiA9PR2XLl3CnDlzqhRDYGAg2rZtiz59+sDBwQGMMZw+fVpq+EFF6ejoyEyOeDweTp8+DUdHR4wePRrNmjXDkCFDkJCQgAYNGgAoGj9br149dOzYEX379oWrqyvs7OyqFFN5LF++HIsXL8aqVavQokULuLq64sSJE9xQlPHjx2PAgAEYPHgwOnTogLdv32LChAky6zMwMMDly5cRHR0NDw8PiESiKsfYsGFDnD59Grdv34aNjQ3Gjx8Pb29vLFy4UKJcly5dIBKJuMS3Xr16sLKygp6eXrl7/kePHo20tDSpsd8BAQFIS0uDra0tRowYgSlTpkBfX/bvCyUlJezbtw9PnjyBjY0Nfv31V6kHe7Ru3RqhoaGIjY1F586dYWtri0WLFsHQ0BBA0RCaI0eOoGvXrmjRogV+//137Nu3j5tTOygoqGLDe5gIeHev6MWq/nOpbjwmayATkSkjIwNaWlpIT0/nxvQQUhmx/2bCZf1VKPF5eLq8FxQUat6NBYQUy83NRXx8PBo3bgwVFRV5h0MIkRMfHx9uGEi5MBHwrmj6OdS3BXj8aoultOtSefM1uoGOEDnJLRBh4bGHAAB70/qUCBNCCKkVzp07V+YDUGoTSoYJkZP1F57hVvw7qCrzsay/ddkbEFIDMcaQUyCfrz2FSvwqT5dGCKm4GzduyDuEakXJMCFycvdlGgBgajcLWNCNc6SWyikQwWrxObns+/EyV6gq068xQkjV0A10hMhBSmYuIhOLkmFXawM5R0MIIYTUXfQnNSFfWKFIjF/PPIWYATbG2jDTVZN3SIRUmlCJj8fLXOW27/JydnZGmzZtsGHDhs8XUCV4eXnh/fv3OHbsmLxDQUhICLp06YK0tLTKPViBVCszMzNMmzYN06ZNq9Z6Pz3nPuf/DW5fRw9Xe93ViXqGCfkC0rMLcDo6CfOORMNxzRUcvlf0GE9X6wZyjoyQquHxeFBVVpTLi8YLV56zs3O1J1my+Pj4gMfjgcfjgc/nw9jYGD/++CPevHlT7ftKSkrCsGHDYGlpCQUFhRKPsaCgAMuWLUPTpk2hoqICGxsbnD17VqKMmZkZF/PHr4kTJ3JlSlrP4/Gwdu1amfF93BaKiorQ1dWFo6MjNmzYgLy8PImyd+7cwdixY8t13GZmZuVOZjdu3IigoKBylS2vhIQE8Hg8qYd7/LcvHqCkUfSixzETUve8eJOF3pvCJG4yqq+mjPFOTejRy4SQOsHa2hoXL16ESCRCZGQkvL298fr1a5w5c0aqrEgkAo/H4x5qURF5eXnQ09PDggULsH79+hLLLFy4EHv27MEff/yB5s2b49y5c/j+++8RHh4OW1tbAEWJ6MfzFD98+BAuLi4YNGgQt+zjJ7wBwJkzZ+Dt7Y2BAweWGmNxW4jFYrx9+xYhISFYsWIFdu/ejZCQEGhoFN1DUvwkuepS3K5aWlrVWm9pJPalWXMf2EE9w4R8ZrtvvuQS4VGdzBDgZY/rc7pirGNTKPLpvyAhX0phYSEmTZoEbW1t6OjoYOHChRKP2d2zZw/s7e2hoaEBAwMDDBs2DCkpKdz6tLQ0eHh4QE9PD0KhEBYWFhJPfnv9+jUGDx6MevXqQUdHB/3795d4rLFIJMKMGTO4/c+ePRvlmer/8OHD3GN4zczMpJ4mZmZmhl9++QWjR4+GhoYGTExMsH37dpn1eXl5ITQ0FBs3buR6KT+OMyIiAvb29lBVVUXHjh3x9OlTie1PnDiBtm3bQkVFBU2aNMHSpUvLfOKboqIiDAwM0LBhQ/Tp0wdTpkzB+fPnkZOTg6CgIGhra+PkyZPcY5pfvnyJ/Px8zJ49Gw0bNoSamho6dOhQ5ry2ZmZm2LhxI0aOHCkz6du9ezfmz58PNzc3NGnSBD/99BNcXV0l2lVPTw8GBgbc6+TJk2jatKnEo5U/Xm9gYIC//voLXbp0QZMmTcrVFkZGRmjVqhUmT56M0NBQPHz4EL/++qvEsXzc2+vj4wMTExMIBAIYGRlhypQpAIp6+V++fInp06dzP08AMtvVy8tL6rHiZf3f4PF4UkN5tLW1uR7m4gel2NragsfjcQ8f+XRfeXl53ENDVFRU8O2330o8VTAkJAQ8Hg+XLl0q9RysbvSbmJDPKDIxDbtuvAQABI1qhyV9rdG1eQMIlatvwnFCSPns3LkTioqKuHXrFjZt2oT169djx44d3Pr8/HwsX74c9+/fx7FjxxAfHw8vLy9u/aJFi/D48WOcOXMGMTEx8PPzg66uLgAgOzsbXbp0gbq6Oq5evYqwsDCoq6ujZ8+eyM/PBwD4+voiICAA/v7+CAsLw7t373D06NFSY46IiIC7uzuGDBmC6Oho+Pj4YNGiRVJfc/v6+sLe3h6RkZGYMGECfvrpJzx58qTEOjdu3AgHBweMGTMGSUlJSEpKgrGxMbd+wYIF8PX1xd27d6GoqCjxRLRz585h+PDhmDJlCh4/foxt27YhKCgIK1euLNfPoJhQKIRYLOaS6OzsbKxatQo7duzAo0ePoK+vj1GjRuH69evYv38/Hjx4gEGDBqFnz56IjY2t0L4+lZeXJ/VwBqFQiLCwsBLL5+fnY8+ePRg9erTMoTn//vsvTp06BW9v70rF1Lx5c/Tq1QtHjhwpcf2hQ4ewfv16bNu2DbGxsTh27BhatWoFADhy5AgaNWqEZcuWcT/PYiW1a0nK+r9Rltu3bwMALl68iKSkJJnHMXv2bBw+fBg7d+7EvXv3YG5uDldXV7x7906iXGnn4GfBSIWlp6czACw9PV3eoZAaKj0nny09/og1mXeKmc45ycbuuiPvkAipspycHPb48WOWk5Mj71AqzMnJibVo0YKJxWJu2Zw5c1iLFi1kbnP79m0GgGVmZjLGGOvbty8bNWpUiWX9/f2ZpaWlRP15eXlMKBSyc+fOMcYYMzQ0ZKtXr+bWFxQUsEaNGrH+/fvLjGHYsGHMxcVFYtmsWbOYlZUV99nU1JQNHz6c+ywWi5m+vj7z8/OTWa+TkxObOnWqxLIrV64wAOzixYvcslOnTjEA3M+8c+fO7JdffpHYbvfu3czQ0FDmvpYsWcJsbGy4zzExMczc3Jy1b9+eMcZYYGAgA8CioqK4Ms+fP2c8Ho+9fv1aoq5u3bqxefPmydxXWcfIGGNDhw5lVlZW7NmzZ0wkErHz588zoVDIlJWVS6wnODiY8fl8qVg+9uuvv7J69eqV+X/j07b42Jw5c5hQKOQ+m5qasvXr1zPGGPP19WXNmjVj+fn5JW77cdliJbUrY4x5enpKnHPl+b8BgB09elSiHi0tLRYYGMgYYyw+Pp4BYJGRkSXvS1zIsl6FMyUlRfbnnt3c+vz8fGZkZMTWrFnDGCvfOfip0q5L5c3XqGeYkGqUmVuA7Vfj0HVdKAKux0MkZuhpbYDVA1rLOzRC6rxvvvlGomfPwcEBsbGx3NjQyMhI9O/fH6amptDQ0OC+6k1MTAQA/PTTT9i/fz/atGmD2bNnIzw8nKsrIiICz58/h4aGBtTV1aGuro769esjNzcXcXFxSE9PR1JSEhwcHLhtFBUVYW9vX2rMMTEx6NSpk8SyTp06ScQNAK1b/3eN4fF4MDAwkBjiUREf12VoaAgAXF0RERFYtmwZd4zq6upcD3N2drbMOqOjo6Gurg6hUAgrKysYGxvjzz//5NYrKytL7PfevXtgjKFZs2YS+woNDUVcXBwASCwfP358uY9v48aNsLCwQPPmzaGsrIxJkyZh1KhR4PNL/sbO398fvXr1gpGRkcw6AwIC4OHhUaXHlDPGZPY8Dxo0CDk5OWjSpAnGjBmDo0ePljk0BZBuV1nK+r9RHeJeJKCgoBCdOnXklikpKaF9+/aIiYmRKFvaOfg50A10hFST5ymZGLztJt5+KPpKtLGuGnz6WcOpWfXeBEEIqX4fPnxAjx490KNHD+zZswd6enpITEyEq6srN8yhV69eePnyJU6dOoWLFy+iW7dumDhxItatWwexWIy2bdtKJHjFqnIjVEkJEithnLGSkpLEZx6PB7FYXKl9flxX8b6L6xKLxVi6dCkGDBggtV1piaClpSWOHz8OPp8PIyMjCAQCifVCoVDiOMViMfh8PiIiIqSSVHV1dQCQmLlAU1OznEdX9PM4duwYcnNz8fbtWxgZGWHu3LncuNePvXz5EhcvXpT5tT8AXLt2DU+fPkVwcHC5YyhJTExMiTEAgLGxMZ4+fYoLFy7g4sWLmDBhAtauXYvQ0FCpn/3HPm3XyuLxeFLnXUFBQYXqKN6+pPP502WlnYOfAyXDhFTRP+9z4BcSh4MRr5BbIEajekJM6WqB/rZGECjS2GBCaoqbN29KfbawsACfz8eTJ0+QmpqK1atXc+Nn7969K1WHnp4evLy84OXlhc6dO2PWrFlYt24d7OzsEBwcDH19fZmJmaGhIW7evAlHR0cARTctRUREwM7OTmbMVlZWUmNZw8PD0axZM5k9meWhrKxcqV4/Ozs7PH36FObm5hXeX0W2sbW1hUgkQkpKCjp37lximYrG8CkVFRU0bNgQBQUFOHz4MNzd3aXKBAYGQl9fH71795ZZj7+/P9q2bQsbG5tKx/LkyROcPXsW8+bNk1lGKBSiX79+6NevHyZOnIjmzZsjOjoadnZ2lf55Fivt/wZQdN5/PBY5NjZW4psAZWVlACg1BvPGxlBWVkJY2HUMMy1K+gsKCnD37t0vNs2fLJQME1JJjDHEJGXCfdsNZOUVfV3VwlATO0e1g75m5b8qI4R8Hq9evcKMGTMwbtw43Lt3D5s3b+ZmEDAxMYGysjI2b96M8ePH4+HDh1i+fLnE9osXL0bbtm1hbW2NvLw8nDx5Ei1atAAAeHh4YO3atejfvz+WLVuGRo0aITExEUeOHMGsWbPQqFEjTJ06FatXr4aFhQVatGiB//3vf3j//n2pMc+cORPt2rXD8uXLMXjwYNy4cQO//fYbtm7dWqW2MDMzw61bt5CQkMAN6SiPxYsXo0+fPjA2NsagQYOgoKCABw8eIDo6GitWrKhSTB9r1qwZPDw8MHLkSPj6+sLW1hapqam4fPkyWrVqBTc3N5nbFvcYZ2Vl4c2bN4iKioKysjKsrKwAALdu3cLr16/Rpk0bvH79Gj4+PhCLxZg9e7ZEPWKxGIGBgfD09ISiYsnpUkZGBg4ePCg1w0dpCgsLkZycLDW1Wps2bTBr1qwStwkKCoJIJEKHDh2gqqqK3bt3QygUwtTUFEDRz/Pq1asYMmQIBAIBd2NneZX2fwMAunbtit9++w3ffPMNxGIx5syZI9F7q6+vD6FQiLNnz6JRo0ZQUVGRms1DTU2In0YNxKzZc1BfRxcmJiZYs2YNsrOzK33jYXWhZJiQCnqTmYdNl2Jx/nEy/s34b5L0naPbw9FClx4EQEgNNXLkSOTk5KB9+/bg8/mYPHky91ADPT09BAUFYf78+di0aRPs7Oywbt069OvXj9teWVkZ8+bNQ0JCAoRCITp37oz9+/cDAFRVVXH16lXMmTMHAwYMQGZmJho2bIhu3bpxPcUzZ85EUlISvLy8oKCggNGjR+P7779Henq6zJjt7Oxw4MABLF68GMuXL4ehoSGWLVsmMctFZfz888/w9PSElZUVcnJyEB8fX67tXF1dcfLkSSxbtgxr1qyBkpISmjdvjh9//LFK8ZQkMDAQK1aswMyZM/H69Wvo6OjAwcGh1EQYADdXMFA0xnnv3r0wNTXlpo/Lzc3FwoUL8eLFC6irq8PNzQ27d++WeurexYsXkZiYWOpMBvv37wdjDEOHDi33cT169AiGhobg8/nQ0tKClZUV5s2bh59++klq+EgxbW1trF69GjNmzIBIJEKrVq1w4sQJ6OjoAACWLVuGcePGoWnTpsjLyyvXlH0fK+3/BlA0W8moUaPg6OgIIyMjbNy4EREREdx6RUVFbNq0CcuWLcPixYvRuXPnEqfBW71oEsRKuhgxYgQyMzNhb2+Pc+fOoV69ehWKt7rxWEVbjCAjIwNaWlpIT0+v0DglUrulZuVhz82X8A+LR2ZuUU+wipICHJrowKtTYxobTL56ubm5iI+PR+PGjat0oxAhpI5hIuBdZNH7+rYAr/qGEJZ2XSpvvkY9w4SUQ8jTFIzbHYG8wqIB/C0bamJmD0s4NNGBihKNCyaEEEJk4wGKqv+9r2EoGSakDG+z8vDzwfvIKxSjVUMtjHFsgt6tDMFXqHn/oQkhhJAah6cAaFnJOwqZKBkmpBSMMSw89hCpWflo1kAdh35yoBkiCCGEkK8IPXSDkFLcjn+HMw+TAQD/c29DiTAhhBDylaGeYUJk2BmegCXHHwEAmuqpoWVDrTK2IIQQQogUJgLSi36fQsu6Wm+gqw6UDBNSAsYYNl9+DgCw0FfH/9zbyDcgQgghpDYT5cs7ApkoGSakBCFP3yA1Kw9KfB6OTewENQH9VyGEEEK+RjRmmJBP5BaIsOFSLABgVKfGlAgTQgghXzH6LU/I/ysUibHhYiz+vPUSadkFUFFSwJjOTeQdFiGEEEI+I0qGCfl/B+7+jd+uFI0TbqgtxHy3FtDTKPnRmIQQQgj5OtAwCUIAnIlOwsJj0QCAb5rUx9XZXdC7taGcoyKEVKfMzExMmzYNpqamEAqF6NixI+7cucOt9/LyAo/Hk3h98803EnXMmDED9evXh4mJCfbv3y+x7sCBA+jbt+8XORZCSPWhnmFCAASGJ0DMgO4tGsB3kA09XY6Qr9CPP/6Ihw8fYvfu3TAyMsKePXvQvXt3PH78GA0bNgQA9OzZE4GBgdw2ysrK3PsTJ05g7969OH/+PGJjYzFq1Ci4uLhAR0cH79+/x4IFC3Dp0qUvflyE1Ap8FXlHIBMlw6ROEokZbsS9xeUnKQh7/gbP/s0CAMzuaQktVSU5R0dILcIYkJ0tn32rqgK88v3hmpOTg8OHD+Ovv/6Co6MjAMDHxwfHjh2Dn58fVqxYAQAQCAQwMDAosY6YmBg4OzvD3t4e9vb2mDZtGl68eAEdHR3Mnj0bEyZMgImJSfUcGyFfEx4f0G4p7yhkomSY1CnZ+YXYeiUOhyL+RnJGLrecxwNcWjSAuZ66HKMjpBbKzgbU5fT/JisLUFMrV9HCwkKIRCKoqEj2TgmFQoSFhXGfQ0JCoK+vD21tbTg5OWHlypXQ19cHANjY2GD79u1IS0vDixcvkJOTA3Nzc4SFheHevXvw8/OrvmMjhHwxlAyTOiM5PRfeO+/g0T8ZAABtVSX0tDZAZws9dGyqg3pqymXUQAiprTQ0NODg4IDly5ejRYsWaNCgAfbt24dbt27BwsICANCrVy8MGjQIpqamiI+Px6JFi9C1a1dERERAIBDA1dUVw4cPR7t27SAUCrFz506oqanhp59+QlBQEPz8/LB582bo6upi+/btsLa2lvNRE0LKg8cYY/IOorbJyMiAlpYW0tPToampKe9wSAnEYoa/03Lw9N9MPPs3E0+TM3H9eSrefsiHjpoyfPpZo4d1AwgUa9YjIQmpyXJzcxEfH4/GjRv/18NaS4ZJAEBcXBxGjx6Nq1evgs/nw87ODs2aNcO9e/fw+PFjqfJJSUkwNTXF/v37MWDAgBLr9PHxQXp6OkaNGoUePXogOjoaJ0+exG+//YaIiIhKHxohXxUmAtJjit5rtajWxzGXeF36f+XN16hnmHxV0j7kY+/tRPiHxePdB+lHP1roqyPAqx2M66vKITpCvkI8XrmHKshb06ZNERoaig8fPiAjIwOGhoYYPHgwGjduXGJ5Q0NDmJqaIjY2tsT1T548wZ9//onIyEgEBATA0dERenp6cHd3x+jRo5GRkUEdJoQUE+WWXUZOKBkmtZZIzHA19g3uv3qPx/9k4NE/GXj9Podbr6yoAHM9dVgaaKBZAw1YGqijY1NdqChRbzAhdZmamhrU1NSQlpaGc+fOYc2aNSWWe/v2LV69egVDQ+lpFhljGDt2LHx9faGurg6RSISCggIA4P4Vi8Wf7yAIIdWGkmFS6+QXinH5yb/YcDEWT5IzpdZbNtDAhC5N0buVIRT5NJU2IaTIuXPnwBiDpaUlnj9/jlmzZsHS0hKjRo1CVlYWfHx8MHDgQBgaGiIhIQHz58+Hrq4uvv/+e6m6/vjjD+jr66Nfv34AgE6dOsHHxwc3b97EmTNnYGVlBW1t7S98hISQyqBkmNQaIjHD6jMxOBjxN95nF/W8aKooortVA1gbacHKUBNWhpo0NRohpETp6emYN28e/v77b9SvXx8DBw7EypUroaSkhMLCQkRHR2PXrl14//49DA0N0aVLFwQHB0NDQ0Oinn///Re//PILwsPDuWXt27fHzJkz0bt3b+jr62Pnzp1f+vAIIZVEN9BVAt1AJx9XnqZgVGDR06L0NQQY2LYRxjk2gbYqzQJByJdQ2o0qhBAiExMB7yKL3te3pRvoCKmMD3mF2BWeAAD43rYh1tFT4gghhBBSDSgZJjVexMs0zDgQhZdvs8HjAcM6mFAiTAghhNQm/Jr7LS4lw6RGuxH3FiMDbqFAxGCkpYJ1g2zQzqy+vMMihBBCSHnx+IB2a3lHIRMlw6TGYozh54P3USBicGymh81DbaElpJvjCCGEEFJ9KBkmNQ5jDDdevMXvoS+4eYNn9bCkRJgQQggh1Y6SYVKjZOcXYqT/bdx9mQYAUOYrYGp3C7RsSLN2EEIIIbUSEwMZT4reazYHeDXrGQCUDBO5Yowh7k0Wbsen4e7Ldzj7MBnZ+SIAgEcHE3h/2xhN9NTlHCUhhBBCKo8Bhdn/va9hKBkmnw1jDNn5ImTlFSIrrxAfuH9FSM8pQMTLdwh9+gb/pEs+r1xZUQFbhtnBxaqBnCInhBBCSF1ByTCpkA95hbgV/xYRL9OQnlOAD3kiiUS3+P2HPBE+5BeiPI90UVZUQFuTerA3q4e2pvVga1KPxgcTQggh5IugZLiOY4whp0CEjJxCpOcUcK+Mj96n5xQgI7cAf6flIDIxDQWiin3FocAD1ASKUP//V/F7c311OFnq4ZvGOhAqV9/TaAghpDIYYxg3bhwOHTqEtLQ0REZGok2bNvIOi9QQPB4PR48exXfffVct9fn4+ODYsWOIioqqlvpI5X0VyfDWrVuxdu1aJCUlwdraGhs2bEDnzp1llg8NDcWMGTPw6NEjGBkZYfbs2Rg/fvwXjFh+cvJF2Hc7EQfuvkJqVh7ScwoqnNw2qifEt+a60NdUgbqAX2Ki+/EyFSUF8Hj0kAxCiPyFh4ejc+fOcHFxwdmzZyXWnT17FkFBQQgJCUGTJk2gq6tb7QnQp6ZOnYqwsDA8fPgQLVq0KDExOnDgAH755Rc8e/YMenp6mDRpEmbNmsWt9/Lyws6dO6W2s7KywqNHjwAAzs7OCA0NlSrj5uaGU6dOlRhbSEgIunTpAm1tbSQlJUk86vb27dvo0KEDgKI/IuTt498x6urqsLS0xPz58zFgwAC5xRQUFIRRo0ZJLf/jjz/w448/yiEiIkutT4aDg4Mxbdo0bN26FZ06dcK2bdvQq1cvPH78GCYmJlLl4+Pj4ebmhjFjxmDPnj24fv06JkyYAD09PQwcOFAOR1B1hSIx3mXnIzUzH28/5CE1Kw+pmflI/ZAntezth7wSk1++Ag9aQiVoCZWgKVSCpooi97l4WX01ZbQ3qw9THVVKbgkhtVJAQAAmT56MHTt2IDExUeL3RFxcHAwNDdGxY8dq329BQQGUlKSHfzHGMHr0aNy6dQsPHjyQWn/mzBl4eHhg8+bN6NGjB2JiYvDjjz9CKBRi0qRJAICNGzdi9erV3DaFhYWwsbHBoEGDuGVHjhxBfn4+9/nt27dSZWTR0NDA0aNHMXToUG5ZQEAATExMkJiYWL4G+AICAwPRs2dPvH//HmvXrsWgQYMQFhYGBwcHucWkqamJp0+fSizT0tKSUzREJlbLtW/fno0fP15iWfPmzdncuXNLLD979mzWvHlziWXjxo1j33zzTbn3mZ6ezgCw9PT0igdcQamZuezCo2S2//ZL9tvlWLbkr4ds0t57bMi2G8zlfyHMdtl5Zjb3JDOdU/7Xt79eYntuJrDH/6Sz12nZLDO3gInF4s9+LISQ2i0nJ4c9fvyY5eTkSK8syJL9Kswpf9mC7PKVrYSsrCymoaHBnjx5wgYPHsyWLl3KrfP09GQous2dAWCmpqbM1NRUalmx48ePMzs7OyYQCFjjxo2Zj48PKygo4NYDYH5+fqxfv35MVVWVLV68uNTYlixZwmxsbKSWDx06lP3www8Sy9avX88aNWok87p99OhRxuPxWEJCgsz9rV+/nmloaLCsLNlteeXKFQaALVy4kHXv3p1bnp2dzbS0tNiiRYvYp2nE9evXWefOnZmKigpr1KgRmzx5ssQ+du/ezdq2bcvU1dVZgwYN2NChQ9m///4rtc+LFy+ytm3bMqFQyBwcHNiTJ09kxslYUXsfPXqU+5yfn89UVVW5XODvv/9m7u7uTFtbm9WvX5/169ePxcfHc+Vv377NunfvznR0dJimpiZzdHRkERERpe5j6dKlTF9fn0VGRpYYU2BgINPS0pIZ86c/c5FIxJYuXcoaNmzIlJWVmY2NDTtz5gy3fsCAAWzSpEnc56lTpzIA7OHDh4wxxgoKCpi6ujo7e/aszH3KjbiQsXeRRS9xYbVWXdp1qbz5Wq3uGc7Pz0dERATmzp0rsbxHjx4IDw8vcZsbN26gR48eEstcXV3h7+8v8y/3vLw85OXlcZ8zMjKqIfryiX6djh933S2znAIPqK+mDF11AXTU//9fNQF0NYre6xYvUxfAUFMFCgrUs0sIqUYHSpkC0cgNcP7oq/jD+oAou+Sy+k5A95D/Pv9lBuSlSpcbVvGv5oODg2FpaQlLS0sMHz4ckydPxqJFi8Dj8bBx40Y0bdoU27dvx507d8DnF93HoK+vz/U4Fi87d+4chg8fjk2bNqFz586Ii4vD2LFjAQBLlizh9rdkyRKsWrUK69ev57atqLy8PKiqqkosEwqF+Pvvv/Hy5UuYmZlJbePv74/u3bvD1NRUZr3+/v4YMmQI1NTUyoxhxIgRWLt2LdeTfvjwYZiZmcHOzk6iXHR0NFxdXbF8+XL4+/vjzZs3mDRpEiZNmoTAwEAARb+3ly9fDktLS6SkpGD69Onw8vLC6dOnJepasGABfH19oaenh/Hjx2P06NG4fv16mbEWU1JSgqKiIgoKCpCdnY0uXbqgc+fOuHr1KhQVFbFixQr07NkTDx48gLKyMjIzM+Hp6YlNmzYBAHx9feHm5obY2FhoaGhI1M0Yw7Rp03Ds2DGEhYXBwsKi3HGVZuPGjfD19cW2bdtga2uLgIAA9OvXD48ePYKFhQWcnZ2xfft2rnxoaCh0dXURGhoKa2tr3LlzB7m5uejUqVO1xFOteHygXht5RyFTrU6GU1NTIRKJ0KCB5BRcDRo0QHJyconbJCcnl1i+sLAQqampMDQ0lNpm1apVWLp0afUFXgGGWkK0bqT1/8mtMnQ1iv7V0xBIJL71VJXBpwSXEEJk8vf3x/DhwwEAPXv2RFZWFi5duoTu3btDS0sLGhoa4PP5MDAwkNhOW1tbYtnKlSsxd+5ceHp6AgCaNGmC5cuXY/bs2RLJ8LBhwzB69Ogqxezq6soljF26dMHz58+xYcMGAEBSUpJUMpyUlIQzZ85g7969Muu8ffs2Hj58CH9//3LFoK+vj169eiEoKAiLFy9GQEBAice1du1aDBs2DNOmTQMAWFhYYNOmTXBycoKfnx9UVFQktmvSpAk2bdqE9u3bIysrC+rq//1BtXLlSjg5OQEA5s6di969eyM3N1di3LIseXl5WLt2LTIyMtCtWzfs378fCgoK2LFjBzfELzAwENra2ggJCUGPHj3QtWtXiTq2bduGevXqITQ0FH369OGWFxYWYuTIkbh79y6uX7+ORo0alRpLenq6xHGpq6vLzE/WrVuHOXPmYMiQIQCAX3/9FVeuXMGGDRuwZcsWODs7Y+rUqUhNTQWfz8ejR4+wZMkShISEYMKECQgJCUHbtm0l9kfKp1Ynw8U+Hb/KGCt1TGtJ5UtaXmzevHmYMWMG9zkjIwPGxsaVDbdCLA00cHzSt19kX4QQUmnuWbLX8T7pFR2YUkpFnzyZqn9CZSOS8PTpU9y+fRtHjhwBACgqKmLw4MEICAhA9+7dK1RXREQE7ty5g5UrV3LLRCIRcnNzkZ2dzfXk2tvbc+t79eqFa9euAQBMTU25G9vKMmbMGMTFxaFPnz4oKCiApqYmpk6dCh8fnxJ7m4OCgqCtrV3qDX/+/v5o2bIl2rdvX64YAGD06NGYOnUqhg8fjhs3buDgwYPc8RSLiIjA8+fP8eeff3LLGGMQi8WIj49HixYtEBkZCR8fH0RFReHdu3cQi8UAgMTERFhZWXHbtW7dmntf3EmVkpJS4r1AxYYOHQo+n4+cnBxoaWlh3bp16NWrFyZOnIjnz59L9fDm5uYiLi6Oq3vx4sW4fPky/v33X4hEImRnZ0uNiZ4+fToEAgFu3rwJXV3dMttNQ0MD9+7d4z4rKJT85LWMjAz8888/Ur26nTp1wv379wEALVu2hI6ODkJDQ6GkpAQbGxv069eP680OCQnh/oAgFVOrk2FdXV3w+Xypv7JSUlKken+LGRgYlFheUVEROjo6JW4jEAggEAiqJ2hCCPkaKZb9dftnL1sKf39/FBYWomHDhtwyxhiUlJSQlpaGevXqlbsusViMpUuXljhTwcc9lx8PQdixYwdycnIAoMTheLLweDz8+uuv+OWXX5CcnAw9PT1cunQJAKR6hRljCAgIwIgRI6CsrFxifdnZ2di/fz+WLVtW7hiAolknxo0bB29vb/Tt27fE35disRjjxo3DlClTpNaZmJjgw4cP6NGjB3r06IE9e/ZAT08PiYmJcHV1lbi5D5Bso+KOquLEWZb169eje/fu0NTUhL6+vkRcbdu2lUjSi+np6QEompHjzZs32LBhA0xNTSEQCODg4CAVl4uLC/bt24dz587Bw8Oj1HiAouTX3Ny8zHLFSuvc4/F4cHR0REhICJSVleHs7IyWLVtCJBIhOjoa4eHhXK98jcPEQGZs0XsNC3occ3VSVlZG27ZtceHCBXz//ffc8gsXLqB///4lbuPg4IATJ05ILDt//jzs7e0rdIEihBBSOxQWFmLXrl3w9fWVumdk4MCB+PPPP7mZGT6lpKQEkUgksczOzg5Pnz6tUJLzcRJeGXw+n6tj3759cHBwkEj4gKIxpM+fP4e3t7fMeg4cOIC8vDxuuEhF9j9ixAisWbMGZ86cKbGMnZ0dHj16JLNdoqOjkZqaitWrV3Pfrt69W/Y9MeVlYGBQ4r7t7OwQHBwMfX19aGpqlrjttWvXsHXrVri5uQEAXr16hdRU6bHq/fr1Q9++fTFs2DDw+XxuSENVaWpqwsjICGFhYXB0dOSWh4eHS/TgF48bVlZWxrJly8Dj8dC5c2esW7cOOTk5NXO8MACAAQWZ/72vYWpWal4JM2bMwI4dOxAQEICYmBhMnz4diYmJ3LzB8+bNw8iRI7ny48ePx8uXLzFjxgzExMQgICAA/v7++Pnnn+V1CIQQQj6jkydPIi0tDd7e3mjZsqXE64cffih17KyZmRkuXbqE5ORkpKWlAQAWL16MXbt2wcfHB48ePUJMTAyCg4OxcOHCCsf2/PlzREVFITk5GTk5OYiKikJUVBTXI5mamorff/8dT548QVRUFKZOnYqDBw9y44Y/5u/vjw4dOqBly5Yy9+fv74/vvvtO5jehpVm+fDnevHkDV1fXEtfPmTMHN27cwMSJExEVFYXY2FgcP34ckydPBlDUO6ysrIzNmzfjxYsXOH78OJYvX17hOCrKw8MDurq66N+/P65du4b4+HiEhoZi6tSp+PvvvwEA5ubm2L17N2JiYnDr1i14eHhAKBSWWN/333+P3bt3Y9SoUTh06FC1xTlr1iz8+uuvCA4OxtOnTzF37lzuZ17M2dkZjx49QnR0NPc8BWdnZ/z555+ws7OTmeyTMlTr/BZysmXLFmZqasqUlZWZnZ0dCw0N5dZ5enoyJycnifIhISHM1taWKSsrMzMzM+bn51eh/X3JqdUIIaSmKHVqtRqsT58+zM3NrcR1ERERDACLiIhg69evl5g+jbGiKdTMzc2ZoqKixLqzZ8+yjh07MqFQyDQ1NVn79u3Z9u3bufX4ZBouWZycnCSmbyt+FU/79ebNG/bNN98wNTU1pqqqyrp168Zu3rwpVc/79++ZUCiUiOFTT58+ZQDY+fPny4yLsf+mOUtLSytx/dGjR6WmVrt9+zZzcXFh6urqTE1NjbVu3ZqtXLmSW793715mZmbGBAIBc3BwYMePH2cAuOnJStpnZGSkRJuUpKz2TkpKYiNHjmS6urpMIBCwJk2asDFjxnC/x+/du8fs7e2ZQCBgFhYW7ODBg8zU1JStX79e5j6Cg4OZiooKO3z4cIn7rMrUakpKSlJTqzHGmFgsZnp6esze3p5bVtw+P//8s8x9yZ24kLHUO0WvGji1Go+xGvDomFomIyMDWlpaSE9Pp7/CCCF1Rm5uLuLj49G4ceNy3dVPCCEAACYC3kUWva9vK31TbRWUdl0qb75W64dJEEIIIYQQUlmUDBNCCCGEkDqrVs8mQQghhBBCaoEaNp3axygZJoQQQgghnw+PD9S3K7ucnNTcNJ0QQkiNRPddE0Jqiuq4HlEyTAghpFyKH0yUnZ0t50gIIaRI8fWoKg9Oo2EShBBCyoXP50NbWxspKSkAAFVVVanHxxJCiBQmBrITi96rmlTL+GHGGLKzs5GSkgJtbW3w+ZWfro2SYUIIIeVmYGAAAFxCTAghZWJiIPtV0XtVUbXeTKetrc1dlyqLkmFCCCHlxuPxYGhoCH19fRQUFMg7HEJIbVCYDZztXfS+5z1AUbVaqlVSUqpSj3AxSoYJIYRUGJ/Pr5ZfQoSQOqBQBOS/LHqvIgAUa9YTLOkGOkIIIYQQUmdRMkwIIYQQQuosSoYJIYQQQkidRWOGK6F4gueMjAw5R0IIIYQQUsMVfgCKpyfPyAAURV9kt8V5WlkP5qBkuBIyMzMBAMbGxnKOhBBCCCGkFhlj9MV3mZmZCS0tLZnreYyeq1lhYrEY//zzDzQ0NCQmnM/IyICxsTFevXoFTU1NOUZYM1H7lI7ap2zURqWj9ikdtU/pqH1KR+1TtprWRowxZGZmwsjICAoKskcGU89wJSgoKKBRo0Yy12tqataIk6CmovYpHbVP2aiNSkftUzpqn9JR+5SO2qdsNamNSusRLkY30BFCCCGEkDqLkmFCCCGEEFJnUTJcjQQCAZYsWQKBQCDvUGokap/SUfuUjdqodNQ+paP2KR21T+mofcpWW9uIbqAjhBBCCCF1FvUME0IIIYSQOouSYUIIIYQQUmdRMkwIIYQQQuosSoYJIYQQQkidRcmwDH5+fmjdujU3cbSDgwPOnDkjs/yRI0fg4uICPT09rvy5c+ckygQFBYHH40m9cnNzP/fhVLuKtk9ISEiJx/7kyROJcocPH4aVlRUEAgGsrKxw9OjRz30on0VF28fLy6vE9rG2tubKfE3nz6dWrVoFHo+HadOmlVouNDQUbdu2hYqKCpo0aYLff/9dqszXcg59rDztU9euQR8rT/vUtWvQx8rTPnXtGuTj4yN1HAYGBqVuU5euPxVtn9p+/aFkWIZGjRph9erVuHv3Lu7evYuuXbuif//+ePToUYnlr169ChcXF5w+fRoRERHo0qUL+vbti8jISIlympqaSEpKknipqKh8iUOqVhVtn2JPnz6VOHYLCwtu3Y0bNzB48GCMGDEC9+/fx4gRI+Du7o5bt2597sOpdhVtn40bN0q0y6tXr1C/fn0MGjRIotzXcv587M6dO9i+fTtat25darn4+Hi4ubmhc+fOiIyMxPz58zFlyhQcPnyYK/M1nUPFyts+de0aVKy87VOsrlyDipW3feriNcja2lriOKKjo2WWrYvXn4q0T62//jBSbvXq1WM7duwod3krKyu2dOlS7nNgYCDT0tL6DJHVDKW1z5UrVxgAlpaWJnN7d3d31rNnT4llrq6ubMiQIdUZptxU5Pw5evQo4/F4LCEhgVv2NZ4/mZmZzMLCgl24cIE5OTmxqVOnyiw7e/Zs1rx5c4ll48aNY9988w33+Ws7hyrSPiX52q9BFWmfungNqsr587Vfg5YsWcJsbGzKXb6uXX8q2j4lqU3XH+oZLgeRSIT9+/fjw4cPcHBwKNc2YrEYmZmZqF+/vsTyrKwsmJqaolGjRujTp4/UX021UUXax9bWFoaGhujWrRuuXLkise7GjRvo0aOHxDJXV1eEh4dXe8xfUmXOH39/f3Tv3h2mpqYSy7+282fixIno3bs3unfvXmZZWefH3bt3UVBQUGqZ2noOVaR9PlUXrkGVaZ+6dA2qyvlTF65BsbGxMDIyQuPGjTFkyBC8ePFCZtm6eP2pSPt8qrZdfxTlHUBNFh0dDQcHB+Tm5kJdXR1Hjx6FlZVVubb19fXFhw8f4O7uzi1r3rw5goKC0KpVK2RkZGDjxo3o1KkT7t+/L/FVXW1RkfYxNDTE9u3b0bZtW+Tl5WH37t3o1q0bQkJC4OjoCABITk5GgwYNJLZr0KABkpOTP/uxfA6VPX+SkpJw5swZ7N27V2L513b+7N+/H/fu3cOdO3fKVV7W+VFYWIjU1FQYGhp+VedQRdvnU1/7Naii7VPXrkFVOX/qwjWoQ4cO2LVrF5o1a4Z///0XK1asQMeOHfHo0SPo6OhIla9r15+Kts+nat31R95d0zVZXl4ei42NZXfu3GFz585lurq67NGjR2Vut3fvXqaqqsouXLhQajmRSMRsbGzY5MmTqyvkL6qy7VOsT58+rG/fvtxnJSUltnfvXokye/bsYQKBoNpi/pIq2z6//PIL09HRYXl5eaWWq83nT2JiItPX12dRUVHcsrK+xrWwsGC//PKLxLKwsDAGgCUlJTHGvp5zqDLt87Gv/RpU1fYp9rVeg6raPnXhGvSprKws1qBBA+br61vi+rp0/SlJWe3zsdp4/aFhEqVQVlaGubk57O3tsWrVKtjY2GDjxo2lbhMcHAxvb28cOHCgzK+mFBQU0K5dO8TGxlZn2F9MZdrnY998843EsRsYGEj9BZ2SkiL1l3ZtUZn2YYwhICAAI0aMgLKycqlla/P5ExERgZSUFLRt2xaKiopQVFREaGgoNm3aBEVFRYhEIqltZJ0fioqKXE/F13IOVaZ9itWFa1BV2udjX+s1qCrtU1euQZ9SU1NDq1atZB5LXbr+lKSs9ilWW68/lAxXAGMMeXl5Mtfv27cPXl5e2Lt3L3r37l2u+qKiomBoaFidYcpNWe3zqcjISIljd3BwwIULFyTKnD9/Hh07dqy2GOWpPO0TGhqK58+fw9vbu1z11dbzp1u3boiOjkZUVBT3sre3h4eHB6KiosDn86W2kXV+2NvbQ0lJqdQyte0cqkz7AHXnGlTZ9vnU13oNqkr71JVr0Kfy8vIQExMj81jq0vWnJGW1D1DLrz/y6pKu6ebNm8euXr3K4uPj2YMHD9j8+fOZgoICO3/+PGOMsblz57IRI0Zw5ffu3csUFRXZli1bWFJSEvd6//49V8bHx4edPXuWxcXFscjISDZq1CimqKjIbt269cWPr6oq2j7r169nR48eZc+ePWMPHz5kc+fOZQDY4cOHuTLXr19nfD6frV69msXExLDVq1czRUVFdvPmzS9+fFVV0fYpNnz4cNahQ4cS6/yazp+SfPo17qdt9OLFC6aqqsqmT5/OHj9+zPz9/ZmSkhI7dOgQV+ZrOoc+VVb71LVr0KfKap+6dg36VFntU6yuXINmzpzJQkJC2IsXL9jNmzdZnz59mIaGBjd7Rl2//lS0fWr79YeSYRlGjx7NTE1NmbKyMtPT02PdunXjEhnGGPP09GROTk7cZycnJwZA6uXp6cmVmTZtGjMxMeHq7NGjBwsPD/+CR1V9Kto+v/76K2vatClTUVFh9erVY99++y07deqUVL0HDx5klpaWTElJiTVv3lziF1VtUtH2YYyx9+/fM6FQyLZv315inV/T+VOST39Zl9RGISEhzNbWlikrKzMzMzPm5+cnVc/Xcg59qqz2qWvXoE+V1T517Rr0qfL8/6pL16DBgwczQ0NDpqSkxIyMjNiAAQMk7umo69efirZPbb/+8Bhj7It3RxNCCCGEEFID0JhhQgghhBBSZ1EyTAghhBBC6ixKhgkhhBBCSJ1FyTAhhBBCCKmzKBkmhBBCCCF1FiXDhBBCCCGkzqJkmBBCCCGE1FmUDBNCCCGEkC/u6tWr6Nu3L4yMjMDj8XDs2LFK1/X8+XNoaGhAW1u7wttSMkwIIV+hhIQE8Hg8REVFyTUOZ2dnTJs2rdrqCwkJAY/Hw/v376utzvLw9/dHjx49yl0+OTkZLi4uUFNTK9cv53bt2uHIkSNViJCQ2ufDhw+wsbHBb7/9VqV6CgoKMHToUHTu3LlS21MyTAiRKy8vL/B4PIwfP15q3YQJE8Dj8eDl5fXlA5MhJycH9erVQ/369ZGTkyPvcKrE2dkZPB4PPB4PAoEAzZo1wy+//AKRSCS3mIqT+E9fw4cPl1tMeXl5WLx4MRYtWlTubdavX4+kpCRERUXh2bNnZZZftGgR5s6dC7FYXJVQCalVevXqhRUrVmDAgAElrs/Pz8fs2bPRsGFDqKmpoUOHDggJCZEqt3DhQjRv3hzu7u6VioOSYUKI3BkbG2P//v0SyWVubi727dsHExMTOUYm7fDhw2jZsiWsrKy+ip68MWPGICkpCU+fPsWUKVOwcOFCrFu3Tt5h4eLFi0hKSuJeW7ZskVsshw8fhrq6eoV6neLi4tC2bVtYWFhAX1+/zPK9e/dGeno6zp07V5VQCfmqjBo1CtevX8f+/fvx4MEDDBo0CD179kRsbCxX5vLlyzh48GCVrhGUDBNC5M7Ozg4mJiYSyeWRI0dgbGwMW1tbibKMMaxZswZNmjSBUCiEjY0NDh06xK0XiUTw9vZG48aNIRQKYWlpiY0bN0rU4eXlhe+++w7r1q2DoaEhdHR0MHHiRBQUFJQZq7+/P4YPH47hw4fD399faj2Px8OOHTvw/fffQ1VVFRYWFjh+/Di3vvhr/kuXLsHe3h6qqqro2LEjnj59KhXfx6ZNmwZnZ2fu89mzZ/Htt99CW1sbOjo66NOnD+Li4sqM/1OqqqowMDCAmZkZJk2ahG7dunHj9srqlXn79i2GDh2KRo0aQVVVFa1atcK+fftK3d/Zs2ehpaWFXbt2lVpOR0cHBgYG3EtLS0tm2cOHD8Pa2hoCgQBmZmbw9fXl1m3evBmtWrXiPh87dgw8Hk/iF6erqyvmzZsns/79+/ejX79+UssDAgK4/RoaGmLSpEkAADMzMxw+fBi7du2S+GbDx8cHJiYmEAgEMDIywpQpU7i6+Hw+3Nzcymw/QuqKuLg47Nu3DwcPHkTnzp3RtGlT/Pzzz/j2228RGBgIoOga5OXlhaCgIGhqalZ6X5QME0JqhFGjRnEXOKAo0Rg9erRUuYULFyIwMBB+fn549OgRpk+fjuHDhyM0NBQAIBaL0ahRIxw4cACPHz/G4sWLMX/+fBw4cECinitXriAuLg5XrlzBzp07ERQUhKCgoFJjjIuLw40bN+Du7g53d3eEh4fjxYsXUuWWLl0Kd3d3PHjwAG5ubvDw8MC7d+8kyixYsAC+vr64e/cuFBUVSzzW0nz48AEzZszAnTt3cOnSJSgoKOD777+v8tfsQqGQ+6OgrF6Z3NxctG3bFidPnsTDhw8xduxYjBgxArdu3Sqx7v3798Pd3R27du3CyJEjqxRnsYiICLi7u2PIkCGIjo6Gj48PFi1axP0snZ2d8ejRI6SmpgIAQkNDoaury50vhYWFCA8Ph5OTk8x9XLt2Dfb29hLL/Pz8MHHiRIwdOxbR0dE4fvw4zM3NAQB37txBz5494e7ujqSkJGzcuBGHDh3C+vXrsW3bNsTGxuLYsWMSSToAtG/fHteuXauWdiGktrt37x4YY2jWrBnU1dW5V2hoKPeH/5gxYzBs2DA4OjpWbWeMEELkyNPTk/Xv35+9efOGCQQCFh8fzxISEpiKigp78+YN69+/P/P09GSMMZaVlcVUVFRYeHi4RB3e3t5s6NChMvcxYcIENnDgQIl9mpqassLCQm7ZoEGD2ODBg0uNdf78+ey7777jPvfv358tWLBAogwAtnDhQu5zVlYW4/F47MyZM4wxxq5cucIAsIsXL3JlTp06xQCwnJwciTb52NSpU5mTk5PM2FJSUhgAFh0dzRhjLD4+ngFgkZGRMrdxcnJiU6dOZYwxJhKJ2JkzZ5iysjKbPXs2e/78OePxeOz169cS23Tr1o3NmzdPZp1ubm5s5syZUvvYsmUL09LSYpcvX5a57cdxC4VCpqamxr3u3bvHGPuv/dLS0hhjjA0bNoy5uLhI1DFr1ixmZWXFGGNMLBYzXV1ddujQIcYYY23atGGrVq1i+vr6jDHGwsPDmaKiIsvMzCwxnrS0NAaAXb16VWK5kZGR1M/+Yx+ft4wx5uvry5o1a8by8/NlbvPXX38xBQUFJhKJZJYh5GsFgB09epT7vH//fsbn89mTJ09YbGysxCspKYkxxpiWlhbj8/ncS0FBgQFgfD6f+fv7l3vfilVLpQkhpHro6uqid+/e2LlzJxhj6N27N3R1dSXKPH78GLm5uXBxcZFYnp+fLzGc4vfff8eOHTvw8uVL5OTkID8/H23atJHYxtraGnw+n/tsaGiI6OhomfGJRCLs3LlTYsjF8OHDMX36dCxdulSirtatW3Pv1dTUoKGhgZSUFIn6Pi5jaGgIAEhJSSn3GOm4uDgsWrQIN2/eRGpqKtcjnJiYiJYtW5arDgDYunUrduzYgfz8fADAiBEjsGTJEpw6dYrrlflYXl4edHR0ABS1yerVqxEcHIzXr18jLy8PeXl5UFNTk9jm8OHD+PfffxEWFob27duXK67g4GC0aNGC+2xsbFxiuZiYGPTv319iWadOnbBhwwaIRCLw+Xw4OjoiJCQE3bp1w6NHjzB+/HisW7cOMTExCAkJgZ2dHdTV1Uusv3gcu4qKCrcsJSUF//zzD7p161auYwGAQYMGYcOGDWjSpAl69uwJNzc39O3bF4qK//0aFgqFEIvFyMvLg1AoLHfdhHyNbG1tIRKJkJKSInO8/o0bNyRu+P3rr7/w66+/Ijw8HA0bNiz3vigZJoTUGKNHj+bGXZZ0M0Rxwnfq1CmpC51AIAAAHDhwANOnT4evry8cHBygoaGBtWvXSn11r6SkJPGZx+OVOsTg3LlzeP36NQYPHiyxXCQS4fz58+jVq1eF6v64DI/Hkzg+BQUFFHWU/OfT8cx9+/aFsbEx/vjjDxgZGUEsFqNly5ZcUlteHh4eWLBgATeOtTipF4vF4PP5iIiIkEj0AXCJo6+vL9avX48NGzagVatWUFNTw7Rp06RiaNOmDe7du4fAwEC0a9eOO97SGBsbc8MOSsMYk6rv07ZzdnbG9u3bce3aNdjY2EBbWxuOjo4IDQ1FSEiIxFjsT+no6IDH4yEtLY1bVplE1djYGE+fPsWFCxdw8eJFTJgwAWvXrkVoaCh3Lrx79w6qqqqUCJM6IysrC8+fP+c+x8fHIyoqCvXr10ezZs3g4eGBkSNHwtfXF7a2tkhNTcXly5fRqlUruLm5SfzBDAB3796FgoJChToEAEqGCSE1SM+ePblEytXVVWq9lZUVBAIBEhMTZY7xvHbtGjp27IgJEyZwyypzY9mn/P39MWTIECxYsEBi+erVq+Hv7y+RDFeVnp4eHj58KLEsKiqKS5revn2LmJgYbNu2jesxCQsLq9S+tLS0Skw6y9Mrc+3aNfTv35+b9kwsFiM2NlbqF1TTpk3h6+sLZ2dn8Pn8Ks8p+jErKyupYw8PD0ezZs24JN7Z2RlTp07FoUOHuMTXyckJFy9eRHh4OKZOnSqzfmVlZVhZWeHx48fcPMMaGhowMzPDpUuX0KVLl3LHKhQK0a9fP/Tr1w8TJ05E8+bNER0dDTs7OwDAw4cPufeE1AV3796V+D80Y8YMAICnpyeCgoIQGBiIFStWYObMmXj9+jV0dHTg4OAANze3ao2DkmFCSI3B5/MRExPDvf+UhoYGfv75Z0yfPh1isRjffvstMjIyEB4eDnV1dXh6esLc3By7du3CuXPn0LhxY+zevRt37txB48aNKx3XmzdvcOLECRw/flyqx8HT0xO9e/fGmzdvoKenV+l9fKxr165Yu3Ytdu3aBQcHB+zZswcPHz7khoLUq1cPOjo62L59OwwNDZGYmIi5c+dWy76LladXxtzcHIcPH0Z4eDjq1auH//3vf0hOTpZKhovru3LlCpydnaGoqIgNGzZUS5wzZ85Eu3btsHz5cgwePBg3btzAb7/9hq1bt3JlWrZsCR0dHfz555/466+/ABQlyDNnzgQAfPvtt6Xuw9XVFWFhYRIPD/Hx8cH48eOhr6+PXr16ITMzE9evX8fkyZNLrCMoKAgikQgdOnSAqqoqdu/eDaFQCFNTU67MtWvXKvRgD0JqO2dnZ6lvcj6mpKSEpUuXYunSpeWqz8vLq1Lz0tNsEoSQGkVTU7PUKXKWL1+OxYsXY9WqVWjRogVcXV1x4sQJLtkdP348BgwYgMGDB6NDhw54+/atRC9xZezatQtqamoljhHt0qULNDQ0sHv37irt42Ourq5YtGgRZs+ejXbt2iEzM1Ni9gUFBQXs378fERERaNmyJaZPn461a9dW2/6LBQYGYuTIkZg5cyYsLS3Rr18/3Lp1ixu/u2jRItjZ2cHV1RXOzs4wMDCQmhLuY5aWlrh8+TL27dvHJaJVZWdnhwMHDmD//v1o2bIlFi9ejGXLlkn8QuTxeNw3CcW93K1bt4aWlhZsbW3LnJJpzJgxOH36NNLT07llnp6e2LBhA7Zu3Qpra2v06dNHYu7TT2lra+OPP/5Ap06d0Lp1a1y6dAknTpzgxl+/fv0a4eHhGDVqVGWbghBSSTxWWkpOCCGEELi7u8PW1rbU+YirYtasWUhPT8f27ds/S/2EENmoZ5gQQggpw9q1a2XOOFEd9PX1sXz58s9WPyFENuoZJoQQQgghdRb1DBNCCCGEkDqLkmFCCCGEEFJnUTJMCCGEEELqLEqGCSGEEEJInUXJMCGEEEIIqbMoGSaEEEIIIXUWJcOEEEIIIaTOomSYEEIIIYTUWZQME0IIIYSQOuv/AH9+G9PuhcW1AAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a CDF plot\n", "fig, ax = plt.subplots(figsize=(8,6))\n", "\n", "# CDF of means from randomly generated samples\n", "ax.plot(random_peak_flows_means_sorted, random_peak_flows_means_quantiles, \n", " color='tab:blue', linestyle='-', label='CDF of Mean Peak Flow Values,\\nbased on the Pre-1977 Distribution')\n", "\n", "# Plot a line at the 95% value\n", "ax.axhline(0.95,color='red',label='95%')\n", "ax.plot(q95,0.95,linestyle='none',marker='o',color='k')\n", "ax.text(q95-6000, 0.96, '{} cfs'.format(np.round(q95,1)), fontsize=15, color='k')\n", "\n", "# Plot a line at the mean of the After-1977 value, is it higher or lower than the 95% quantile?\n", "ax.axvline(skykomish_after_a['peak value (cfs)'].mean(),color='orange',linestyle='--',label='After-1977 Mean Peak Flow')\n", "ax.text(skykomish_after_a['peak value (cfs)'].mean()-6000, 0.5, '{} cfs'.format(np.round(skykomish_after_a['peak value (cfs)'].mean(),1)), fontsize=15, color='k')\n", "\n", "ax.set_xlabel('Mean Annual Peak Flow (cfs)')\n", "ax.set_ylabel('Cumulative Probability \\n (or Probability of Non-Exceedance)')\n", "ax.set_title('Mean Peak Flows drawn from Skykomish-based Distribution')\n", "ax.ticklabel_format(axis='x', style='sci', scilimits=(0,0))\n", "ax.legend(loc='lower right');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**What does this say about the annual peak flows of the After-1977 period and how it compares to the Before-1977 period?**\n", "\n", "By repeatedly generating samples from our empirical CDF, we are creating new datasets that are \"realistic\" in that they are values we *could* have reasonably measured.\n", "\n", "When we look at these 500 sets of numbers, we can see that there is only a 5% chance that the mean of 46 numbers drawn randomly from this specific distribution would be greater than ~46000 cfs.\n", "\n", "Therefore, if we had 46 observed values and calculated their mean, we would be 95% confident that a mean of this value or larger actually came from a different population distribution (with a larger mean than that of our original population distribution).\n", "\n", "---" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 4 }