{ "cells": [ { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "# Histograms and Density Plots\n", "\n", "In this notebook we will look at the [NYCFlights13 dataset](https://cran.r-project.org/web/packages/nycflights13/nycflights13.pdf), which contains information on over 300,000 planes departing NYC airports in 2013. We will focus on visualizing the distribution of arrival delays given in minutes. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "hideCode": false, "hidePrompt": false }, "outputs": [], "source": [ "# Pandas and numpy for data manipulation\n", "import pandas as pd\n", "import numpy as np\n", "\n", "# Matplotlib and seaborn for plotting\n", "import matplotlib.pyplot as plt\n", "import matplotlib\n", "%matplotlib inline\n", "\n", "matplotlib.rcParams['font.size'] = 18\n", "matplotlib.rcParams['figure.dpi'] = 200\n", "\n", "import seaborn as sns\n", "\n", "from IPython.core.pylabtools import figsize" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "## Data Import " ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "hideCode": false, "hidePrompt": false }, "outputs": [ { "data": { "text/html": [ "
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arr_delayname
011.0United Air Lines Inc.
120.0United Air Lines Inc.
233.0American Airlines Inc.
3-18.0JetBlue Airways
4-25.0Delta Air Lines Inc.
512.0United Air Lines Inc.
619.0JetBlue Airways
7-14.0ExpressJet Airlines Inc.
8-8.0JetBlue Airways
98.0American Airlines Inc.
\n", "
" ], "text/plain": [ " arr_delay name\n", "0 11.0 United Air Lines Inc.\n", "1 20.0 United Air Lines Inc.\n", "2 33.0 American Airlines Inc.\n", "3 -18.0 JetBlue Airways\n", "4 -25.0 Delta Air Lines Inc.\n", "5 12.0 United Air Lines Inc.\n", "6 19.0 JetBlue Airways\n", "7 -14.0 ExpressJet Airlines Inc.\n", "8 -8.0 JetBlue Airways\n", "9 8.0 American Airlines Inc." ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ " # Read in data\n", "flights = pd.read_csv('data/flights.csv')\n", "carriers = pd.read_csv('data/by_carrier.csv')\n", "airlines = pd.read_csv('data/airlines.csv')\n", "\n", "flights = flights.merge(airlines, how = 'left', on = 'carrier')\n", "flights = flights[['arr_delay', 'name']] \n", "\n", "# Filter flight delays between -60 and 120 minutes\n", "flights = flights[flights['arr_delay'].between(-60, 120)]\n", "flights.head(10)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "flights.to_csv('data/formatted_flights.csv')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "hideCode": false, "hidePrompt": false }, "outputs": [ { "data": { "text/plain": [ "count 317113.000000\n", "mean 1.297143\n", "std 29.064401\n", "min -60.000000\n", "25% -17.000000\n", "50% -6.000000\n", "75% 11.000000\n", "max 120.000000\n", "Name: arr_delay, dtype: float64" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "flights = pd.read_csv('data/formatted_flights.csv')\n", "flights['arr_delay'].describe()" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "# Histogram of All Arrival Delays " ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "## Matplotlib" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "hideCode": false, "hidePrompt": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figsize(9, 7)\n", "\n", "# Make the histogram using matplotlib, bins must be integet\n", "plt.hist(flights['arr_delay'], color = 'blue', edgecolor = 'black',\n", " bins = int(180/5))\n", "\n", "# Add labels\n", "plt.title('Histogram of Arrival Delays')\n", "plt.xlabel('Delay (min)'); plt.ylabel('Flights');" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "## Seaborn" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "hideCode": false, "hidePrompt": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figsize(9, 7)\n", "\n", "sns.distplot(flights['arr_delay'], hist=True, kde=False, \n", " bins=int(180/5), color = 'blue',\n", " hist_kws={'edgecolor':'black'})\n", "\n", "plt.title('Histogram of Arrival Delays')\n", "plt.xlabel('Delay (min)'); plt.ylabel('Flights');\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Histogram with Varying Binwidths" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figsize(18, 16)\n", "\n", "# Show 4 different binwidths\n", "for i, binwidth in enumerate([1, 5, 10, 15]):\n", " \n", " # Set up the plot\n", " ax = plt.subplot(2, 2, i + 1)\n", " \n", " # Draw the plot\n", " ax.hist(flights['arr_delay'], bins = int(180/binwidth),\n", " color = 'blue', edgecolor = 'black')\n", " \n", " # Title and labels\n", " ax.set_title('Histogram with Binwidth = %d' % binwidth, size = 30)\n", " ax.set_xlabel('Delay (min)', size = 22)\n", " ax.set_ylabel('Flights', size= 22)\n", "\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "# Where Histograms Fail: Multiple Categories\n", "\n", "Histograms work very well for display a single variable from one category (in this case the one category was all the flights). However, for displaying multiple categories, a histogram does not work well because the plots are obscured." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "hideCode": false, "hidePrompt": false }, "outputs": [], "source": [ "# Extract top five airlines with most flights\n", "carrier_flights = pd.Series(flights.groupby('name')['name'].count())\n", "carrier_flights = carrier_flights.sort_values(ascending=False)\n", "top_five = carrier_flights.index[:5]\n", "\n", "# Subset to the top 5 airlines\n", "top_five_flights = flights[flights['name'].isin(top_five)]" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "hideCode": false, "hidePrompt": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figsize(10, 8)\n", "\n", "# Iterate through each of the five airlines\n", "for airline in top_five:\n", " # Subset to the airline\n", " subset = top_five_flights[top_five_flights['name'] == airline]\n", " # Make a histogram with the airline\n", " sns.distplot(subset['arr_delay'], bins = int(180/5), \n", " label = airline, hist = True, kde = False, \n", " norm_hist=True, \n", " hist_kws = {'edgecolor': 'black'})\n", " \n", "plt.legend(prop={'size': 16}, title = 'Airline')\n", "plt.title('Histogram of Delays by Airline'); plt.xlabel('Delay (min)'); plt.ylabel('Normalized Counts');" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "# Make a separate list for each airline\n", "x1 = list(flights[flights['name'] == 'United Air Lines Inc.']['arr_delay'])\n", "x2 = list(flights[flights['name'] == 'JetBlue Airways']['arr_delay'])\n", "x3 = list(flights[flights['name'] == 'ExpressJet Airlines Inc.']['arr_delay'])\n", "x4 = list(flights[flights['name'] == 'Delta Air Lines Inc.']['arr_delay'])\n", "x5 = list(flights[flights['name'] == 'American Airlines Inc.']['arr_delay'])\n", "\n", "# Assign colors for each airline and the names\n", "colors = ['#E69F00', '#56B4E9', '#F0E442', '#009E73', '#D55E00']\n", "names = ['United Air Lines Inc.', 'JetBlue Airways', 'ExpressJet Airlines Inc.',\n", " 'Delta Air Lines Inc.', 'American Airlines Inc.']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solution 1: Side-by-Side Histograms" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figsize(10, 8)\n", "\n", "# Make the histogram using a list of lists\n", "# Normalize the flights and assign colors and names\n", "plt.hist([x1, x2, x3, x4, x5], bins = int(180/15), normed=True,\n", " color = colors, label=names)\n", "\n", "# Plot formatting\n", "plt.legend()\n", "plt.xlabel('Delay (min)')\n", "plt.ylabel('Normalized Flights')\n", "plt.title('Side-by-Side Histogram with Multiple Airlines');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Solution 2: Stacked Histograms" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figsize(10, 8)\n", "plt.hist([x1, x2, x3, x4, x5], bins = int(180/15), normed=True,\n", " stacked=True,\n", " color = colors, label=names)\n", "\n", "plt.legend(); plt.xlabel('Delay (min)'); plt.ylabel('Normed Flights');\n", "plt.title('Stacked Histogram with Multiple Airlines');" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "# Solution 3: Density Plots\n", "\n", "A density plot uses a kernel (by default a Gaussian) at every data point to create a distribution and then sums the distribution at each location to create a single distribution.\n", "\n", "![](images/KDEWIKI.png)\n", "\n", "This produces a smoothed version of a histogram where the y-axis is in density. This density can be thought of as a probability of the data value corresponding to the value on the x-axis, but this can create issues because the density may be greater than one. I usually just think of it as _density_, a value used for comparison purposes only. " ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "## Density Plot of All Delays Using Seaborn" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "hideCode": false, "hidePrompt": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figsize(9, 7)\n", "\n", "sns.distplot(flights['arr_delay'], hist=True, kde=True, \n", " bins=int(180/5), color = 'darkblue', \n", " hist_kws={'edgecolor':'black'},\n", " kde_kws={'linewidth': 4});\n", "\n", "plt.title('Density Plot and Histogram of Arrival Delays'); \n", "plt.xlabel('Delay (min)'); plt.ylabel('Density');" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "# Density Plot with Varying Bandwidths" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "hideCode": false, "hidePrompt": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figsize(12, 10)\n", "\n", "for bandwidth in ['scott', 0.2, 0.5, 1, 5]:\n", " sns.distplot(flights['arr_delay'], hist = False, kde = True, \n", " kde_kws={'bw': bandwidth, 'linewidth': 3},\n", " label = bandwidth)\n", " \n", "plt.legend(prop={'size': 16}, title = 'bandwidth')\n", "plt.title('Density Plot with Varying Bandwidths'); \n", "plt.xlabel('Delay (min)'); plt.ylabel('Density');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Different Kernels for the Density Plot" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "for kernel in ['gau', 'cos', 'biw', 'epa', 'tri', 'triw']:\n", " sns.distplot(flights['arr_delay'], hist = False, kde = True, \n", " kde_kws={'kernel': kernel, 'linewidth': 3},\n", " label = kernel)\n", " \n", "plt.legend(prop={'size': 16}, title = 'Kernel')\n", "plt.title('Density Plot with Different Kernels'); \n", "plt.xlabel('Delay (min)'); plt.ylabel('Density');" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "# Density Plot of Delays of Top Five" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "hideCode": false, "hidePrompt": false }, "outputs": [ { "data": { "image/png": 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nThS1qQ5ltXHjxo2FPiY8PBylFJ988onD/TnbfqOio6NRSjF79uw8y8yZMwelFNHR0UU+T3G4mdf8fiNBuBD3u+MbAMhMVyReqU766dNFr6v9eNvyiU2QHH+TjRNC3K/+85//sGzZMut6dHQ0kyZNuuVB+I2KiYlhwwb9czMiIsJhmZxtLw7du3cnKiqKypUrF+t5RPGRIFyI+5iWkUbyH1s5G1WOf5ZX4uynv3Ciew8uR0SgadqNV+jlb0tn0TLh4PJb2l4hxP0jKCiIBx988E43I5d58+ZhNpvp1q0bu3fv5u+//85VpjBtz8jIKNrnrEXFihVp2bIlRqOxyHWIO0uCcCHuQxnnz3Nx5kyOdwrndGRpEk+VRsvU87m1jAxip75LzPDhmC5duvHK6z1mWz5QvD1BQoh7j7+/PwMGDGDRokXUqVMHd3d3QkJC2LJli1257CkdGzdupH379gB06tQJpVSuFJKvvvqKRo0a4ebmhre3N0OHDuXy5ct2dV68eJGnn34aT09PypUrx8CBA0lISLih9s+dO5e6devy0UcfWddzcpRKo5Ri5syZvP766/j5+WE0Gm/43Nk5Skcp7HMLsGnTJjp27EiZMmVwd3enS5cuub5QrF69mlatWlG2bFk8PDyoXbs2b7/9dq66CpKVsvTXX3/Rpk0bSpcuTXBwMLNmzcpV9uTJkzzzzDNUqlQJo9FIYGAgo0ePvuFz3gskCBfiPnNl4UKOdQwn/pNPybhgny5iKGsbGzx58++c6PUo17bc4A2WdXthvUEzegskXbjJFgshSprff/+dDz74gP/+978sXryYzMxMevTokWdQ2qRJE2bMmAHAJ598QlRUFFFRUTRp0gSAN954gxEjRhAeHs6KFSuYPn06q1at4uGHHyYzM9Naz2OPPcYvv/zClClTWLx4Mc7Ozrz00kuFbve2bds4cuQIAwcOJDg4mNDQUObPn293jvxMnjyZo0eP8uWXX7Js2TLc3NwKfe7CKsxzu3LlSjp27IiHhwfz58/nu+++IykpiTZt2hATEwPAiRMn6NmzJ/7+/ixevJgVK1bw6quvkpycXKR2JSYm8vTTTzNgwACWL19Os2bNePHFF62pPaAH4M2bN2fz5s1MmjSJ3377jbfeeov4+JKZ2uh8pxsghLh90o4d48LkKWA2W7cZXM2UrZFCueHjMXYeRtzHH3P5628AyIyPJ2bYMMoPHYLP6NEo10LctOlZGWq0glNbAE1PSWkxvJiuSIiSw/+NlXe6CVbR73Yv1voTExPZs2cPXl5eAFSqVIlmzZrx66+/8vTTT+cq7+npSd26dQGoU6cOLVu2tLU1Oprp06fz1ltvMWGCbQbfWrVq0bp1a37++WceffRRIiMj2bJlCwsXLqRfv34AdOnShYcffpgzZ84Uqt0REREYDAYGDBgAwKBBg3jhhReIjIyka9euBR7v6+vLsmXLUDc6DOwNKMxzO3r0aMLCwli+3JYy2L59ewIDA/nggw/46KOP2L17N+np6Xz++ed4enoC0KFDhyK3KykpiZkzZ1p/0Wjbti1r1qxh4cKF1m1vvfUWqamp7N27Fz8/P+uxgwYNKvJ572bSEy7EfULTNC5MehtMJgBcA/zxC71CcK8LVAq5hlvHp1Curvi+9hrVZs/Gydvbeuzlr7/h1MBBmFNTC3ey+tkm+5GUFCFEDqGhodYgEaBBgwYAnC7CjeGRkZGYzWb69++PyWSyPlq0aIGnpyebN28GICoqCicnJx5//HG747MC8oKkpaWxePFiOnToQJUqVQB48sknMRqNDlNSHHn00UeLNQCHgp/bf/75h+PHj+d6vkqXLk1oaKj1+WrcuDEuLi7069ePpUuXEhcXd1PtKl26tDXYBjAajQQHB9u95mvWrKFHjx52AXhJJkG4EPeJq8uXk7Jjh77i5ESVkY9QtkYqBiegSlMoZfvQ9mjdisDlP+Heto11W+qePVya/XXhTlanFyjLx8vpKLh69hZdhRDibuPs7JxnOkbWdmdn+x/ey5cvb7eedXPh9evXb/j8WcFhzZo1cXFxsXskJiZyyXJvy/nz5/Hy8sLFxcXueF9f30KdZ8WKFVy5coXevXuTkJBgTe/o0qULP/30E4mJiQXWcTtGMinouc16voYOHZrr+frll1+sz1fNmjVZvXo1ZrPZmqPdokULNm3aVKR2Zf9ikL1t2V/zS5cu5TncZUkk6ShC3AcyExKIe2+6db38wIG4ZR6wFcia7TIb5woVqDZrFvEzZhJvycW8NHs25R7rjYulFyhPHhUhoC2c2KivH/wJQkfe7GUIUaIVdwpIcfHx8SE+Pp709HRcc6SsnTt3Dih8oFsUFSpUAPReVEeBXtb+ypUrc+XKFTIyMuwC8djY2EKdJ2s4wpEjRzJyZO7PsyVLljBs2LB86yjuXvDCyHo+pk6dSnh4eK792V/D9u3b0759e9LS0ti6dSsTJkyge/fuREdH453t19Jbxdvbm7Nn759OG+kJF+I+EPfhR2RaRglwrlSJiiNHWMcHByDIcZ6fMhjwHvEixrp1ANDS0oidXshJeLKPkvL3j0VqtxDi7te+fXtMJhMrVqzIte+HH36gcuXK1K5d+6bPk9Wjm5ojLa5Tp04YDAZOnz5NSEhIrkdAQACgp2lkZmbyww8/2B2/aNGiAs8dGxvL6tWr6dWrFxs2bMj1qFSpUqFTUu602rVr4+/vz4EDBxw+Xw0bNsx1jNFopEOHDrz++uskJydz8uTJYmlb586d+eWXXzh//nyx1H+3kZ5wIUq41L17SViyxLru+39vYkg9C4mW3gajp56Okgfl5ESlf/+bU0/3ByBp1SqS/3wK9xbN8z9xnUdg5atgNsHZnXDlFHjVuOnrEULcXcLDw+nUqRODBw/m8OHDtGjRgqSkJBYtWsTy5cv59ttvMRhuvs+vVq1aODs7880331C+fHmMRiO1a9cmKCiIcePGMWrUKI4cOUJYWBhubm7ExMQQGRnJsGHDaN++PZ06daJ169YMHz6c+Ph4goODWbx4scNxvnNasGABJpOJMWPGEBYWlmv/oEGDeO+99zhx4gSBgYE3fa1Zdu3aRbly5XJt79mzZ5HrVEoxY8YMevXqRXp6On379sXb25vY2Fj++OMPqlevzquvvsqsWbPYvHkz3bp1o1q1asTHxzN16lT8/PyoX7/+zVxWniZNmsTKlSt56KGHePPNN6lZsyZnz55l1apVzJ8/H9CHhBwyZAjr1q1z+FrcS6QnXIgSTDOZOD9xElgmhPAIC6NMeDgcW2crFNAWnPL/Pl66SRM8e/SwrsdOmYJmucEz74PKQ6DtJhy5QVOIkkkpxYoVK3jllVeYO3cuPXr0YNCgQZw/f56ffvqJwYMH35LzVKhQgc8++4y9e/cSFhZGs2bN2LVrFwBTpkzhyy+/ZPPmzfTt25devXoxbdo0vLy8CA4Ottbx448/0q1bN8aPH8+TTz6JyWTis88+K/DcERERBAUF0bZtW4f7hwwZgqZpt7w3fNasWTzxxBO5HoXJP89Pt27d2Lx5M8nJyQwbNowuXbrw+uuvc+HCBUJDQwFo1KgRycnJjB8/ns6dOzNq1CgCAgJYv349pUqVuhWXl4u/vz9//vknLVu2ZPz48XTt2pUJEyZQsWJFaxmz2UxmZuZNTXR0t1Al4SIKEhISou3cufNON0OI2+7y3LnETpkKgHJzI/CXn3GtWhXm94FjkXqhHh9CyJAC68q4cIHjD3dDs/wUXOmtCXg99VT+B+35Dn56UV+u3AiGby7ytQhRUhw6dIg6derc6WYIIYqgoL9fpdQuTdNCClOX9IQLUUJlxMZx8eNPrOveL7ygB+AZ1/VJdLLkkQ+ek0ulSngPf966fvGjj8ksaLa3B7qDk+Umn/N74dLxQrdfCCGEKMkkCBeihIp7/33MlpnNXAMDqTDkWX1HzDYwWW5sKh8IXv6FrrP8s8/iYhk+KvPqVS5+WsDPuG5loWa2u+8PyA2aQgghBEgQLkSJlHn1Kom//WZdrzRhgm22y+PrbQUdDE2YH4PRiM+4163rVxYt4vrRo/kfZDdKiuSFCyGEECBBuBAlUtLaddaZMd0aNsS9ZQvbzmPZg/Abn4K4THg4pUMtU0ZnZhI7ZWr+N8jU7grObvpy3AG4eOSGzymEEEKUNBKEC1ECZe8F9+za1bYjKRZi9+vLBmfwb33DdSulqPTmm+DkBEDKtm2kbNuW9wHGMhDcybYuY4YLIYQQEoQLUdKYrlwhOSrKuu7ZpbNtZ9YMlgDVWoCbZ5HOYQwOptwTfazrCUt/yKc09ikph34u0jmFEEKIkkSCcCFKmKS1ayEzE4BSjRrZTzEfnW2IwOxjeBdB9uEJkyIjybx6Ne/CwZ31nnfQU1Kuxd3UuYUQQoh7nQThQpQwSb+tsi6XediWiqKZNaKPXOd0WmOum8tA9RaODi80t9q1catbV687PZ3EX3/Nu7DRA6pmm2HzpIwXLoQQ4v4m09YLUYKYLl8m+c8/retZ+eCaprFuzgGOnOhv2zfbgG/A3/j4e+qPGmVwdnHKt/6UjBTcnN0wKP37e9nHHuP6wYMAJPy4LP/JewLD4PQf+vKJjdCgT95lhRBCiBJOesKFKEGS1kTaUlGaNMGlUiUA/lpzmiPb7VNAEi+l88/OOLYuPcay93ez8O3tXLmQ7LDelIwUpm2fRquFrej0fSe+P/o9JrOJsj26o1xcALi+f3/+wxUGhNmWT266iasUQggh7n0ShAtRgiSusqWiZPWCR++PJ+on20yVZQxxGFRm7mMvprL224OYM81226PORfHYiseYf2g+Js1EXGocb0e9Te/lvdl4dRceHW1jjV/9MZ9xwKs0BRd3fTnhNFw+WZRLFELchSZOnIhSCpNlaNTCSEhIYOLEiezevTvXvsGDB6OUsj5cXV0JCgpi7NixJOSYqbddu3a0a9fuZi+hyGJiYnBycsLV1ZX4+HiHZZRSTJw48fY2TNz1JAgXooQwxceTsn27vqIUZbp04fL5ZCK/PgCWYbwruxygf8WRPP/Ydvq8EULbfrV4oGUlDM4KgLhTSfwVeRqAxPRE3vrjLZ6PfJ6z187mOl90YjSvbHyFr6rZAvyrK1agZWQ4bqCzK9R4yLYuveFC3NcSEhKYNGmSwyAcoGLFikRFRREVFUVkZCQjRozgiy++4JlnnrnNLc3f3LlzMZvNZGRksHDhQodloqKiGDZs2G1umbjbSU64ECVEUmQkmPVe7NJNm5Lp4cWv03aSfl3v9fZwTaRr2ek4KRP41cPX3xNff32IwnKVSrPtpxMAbP/lJHEVTzD9+DtcTL1ord/T1ZN/hfyLS9cv8fX+r7mWcQ2AZeVP0KkMVEiCzMuXubZpE2XCw3EoMAyORerLJzZB08HF8EwIIUoCV1dXWrZsaV0PCwvjypUrTJ06leTkZNzd3e9g62zmzp1L/fr1SUxMJCIigpdeeilXmezXkZe0tDSMRmNxNFHcpaQnXIgSIvFX2wQ97l27subrA1yNSwXA2dVAt4ofUdrJMoxgpQZ2xz7YqTo+NcoAYDZpRC2MJj7lknV/pxqdWP7ocnoH92ZYg2H8+tivDKgzAGeDM5pBsamBspZNyC8lJbCdbfnkJuuXBiFEyfPVV1/RqFEj3Nzc8Pb2ZujQoVy+fBmA6OhoAgICAHjuueesaSdz5szJt05PT0/MZjOZmblT6rLMmTMHpRTR0dF227NSZrIzmUxMnTqVBx54AKPRiJ+fH2PHjuX69euFusaoqCiOHj3KwIEDeeaZZ9i1axcHDhzIVS5nOkpWW/7++2+6dOmCh4cHffv25f3338fd3Z309HRr2ccffxylFGvXrrVu++qrr3B2diYxMRGAHTt20KdPH6pWrUqpUqWoXbs2b775JqmpqdZjRo0aha+vLxk5fq28du0aZcqUYfz48db1l156ierVq2M0GvH19SU8PJzDhw8X6jkRhSdBuBAlQEZcHCk7d+orSnHI3ICYg5et+zv29aNi5l/6iqsHeAXYHW9wMtBhYB0MTvp/UL7X/Gl4rh0V3Crwv3b/43/t/od3KW9reS83L8Y1H8fPj/5MV/+ubGxg+yi5tmkjposwuIPIAAAgAElEQVQXccinHpSuoC+nXNLHDBdClDhvvPEGI0aMIDw8nBUrVjB9+nRWrVrFww8/TGZmJpUrV+bHH/XZc8ePH29NO+nevbtdPSaTCZPJRHJyMps3b+azzz6ja9eueHoWbaKxnAYMGMA777zD008/zcqVKxk/fjxff/01/fv3L/hgICIiAoPBQP/+/Rk4cCCg94wXVq9evQgLC2PFihWMGTOGDh06kJKSwjbLLMSaprFp0yZKlSrF+vXrrcetX7+epk2bWp+H06dP07hxY2bNmsWqVasYPXo033zzDc8++6z1mBEjRhAXF8eyZfYdJQsWLCA5OZnnnnsOgDFjxrBkyRLeeustIiMjmTVrFo0bN86Viy9unqSjCFECJK2JBE1P/L7c8kn2/WG7OSikuz81fW152/jWA0Pu79+7Eq6xp9LfNDxbD4DmZ7rz4sOjaV7VP8/zVi1TlffavseglFgOVd1BnTNAppmEFSvwHjo09wEGAwS0hQOW/wRObMrVKy/EfWti2TvdApuJ+Uy+VYDo6GimT5/OW2+9xYQJE6zba9WqRevWrfn555959NFHefDBBwEIDAx0mK5x9uxZXCyjL2Vp2bIl8+bNK3Lbsvv9999ZvHgxERER1gA6PDyc8uXLM2DAAPbs2UPjxo3zPD4tLY3FixcTHh6On5+ftX3z589n6tSpGBx8zub08ssvM3r0aOu62WzGy8uLDRs20LZtW/bu3cvly5cZPXo0GzZssJbbuHEjgwYNsq4//vjj1mVN02jVqhWenp4MHDiQGTNmUKFCBerWrUtYWBhffPEFffv2tZb/4osv6Ny5M4GBgYDeu9+/f3+GZvsM7927d4HXIm6c9IQLUQIkrtJTUczKwJEytpsfAxtXpHn3ALiw31bYt36u4zcciWPE4nVE+X3LRfcYAJzMzqycfZx6/1lFlw83s3D7aYfnVkrxZos32djINsb4ucXz0SxfCnKRoQqFKNEiIyMxm83079/f2pNtMplo0aIFnp6ebN5cuMm6fHx82LFjBzt27CAqKoqIiAji4+N5+OGH7dIsimrVqlW4urry+OOP27Wzc+fOAAW2c/ny5SQkJFgDeIBBgwZx7tw5u9SR/OQMbg0GA23btrX2eq9fv56GDRvSt29fdu7cSVJSEgcPHuTChQt06NDBelxiYiLjxo0jKCgIo9GIi4sLzzzzDJqm8c8//1jLjRgxgg0bNli37dixg7/++ovhw4dbyzRr1ow5c+YwZcoUdu7cmW/qj7g5EoQLcY/LiI0ldZc+ukC8dyNS0/VguLSnKx0H10EZlH0QXsk+CN93JoGRC3bjVH49mnMGG4K+I9MyhGGVTCcapjhxJDaJ8T/uZ25UtMM2PFD+Afwe6cN1S6eVy+kLXN2z03GDA7MF4af+gMw8RlMRQtyT4uL0OQlq1qyJi4uL3SMxMZFLly4VUIPOxcWFkJAQQkJCaNmyJQMHDuS7775j586dBeaOF7ad6enpeHh42LXRx8cHoMB2RkREULp0adq3b09CQgIJCQl06dIFFxcXIiIiCtWGypUr59rWoUMHtm3bRmpqKhs2bKB9+/Y0a9YMNzc3fv/9dzZs2ICLiwutWrWyHvPss88ya9YsXn75ZSIjI9mxYwczZswAsMtv7927N5UqVeKLL74AYNasWfj5+fHII49Yy3z66acMHz6cb775hmbNmuHj48OYMWNISUkp1DWJwpN0FCHucUmrV1tTUS7U6WbdXre1H65ulj/x2L9tB1RqaF08fSmFIXN2kKrF4V5OD5ovu5/jStB1vI/pIw+0vu7McZdMrjhpTFxxgGpepWn/gE+udrwYOoal9Zbz0B79A3/77HfpPOOH3A32CoCy1eHqaUi/Bmd3QfWCRw4QosS7iRSQu0mFCvp9H2vWrMHLyyvP/UVRr56eLrdv3748y7i5uQHY3dwIuYPqChUqWANbR7JSTByJjY1lzZo1mEwmqlSpkmv/smXLSEpKokyZMnnWAeS6URSgffv2pKens3nzZjZv3szzzz+Ps7Mzbdq0Yf369Zw8eZLmzZtbR4e5fv06y5cvZ+LEiXapLfv3789Vt4uLC8OGDWPmzJm8/vrrLFq0iLFjx+LsbAsHPTw8mDp1KlOnTuXUqVMsXbqUN954A1dXV6ZNm5bv9YgbIz3hQtzjEn/TJ+hJcfMm3mD5T0NBnVaWHpb0FLh0DOsOnzoAXLqWxqBvtxN/LR2j9zqU0kcqCfEN4f9e6YZ3NQ8AXFB0cyoNgFmDUd/t5sC53MFCWWNZqvSzjd9bfstBouMczKCplH1v+ImNRbxyIcTdqFOnThgMBk6fPm3tyc7+yBoVJWs4vhtJLckKvitWrJhnmRo1agDw99+2zgeTycSaNWvsynXt2pXr169z9epVh+3MLwifP38+JpOJzz//nA0bNtg9PvroI1JTU/n+++8LfV3Z1a9fn4oVKzJ9+nSSk5Np27YtoPeQr1u3jk2bNtmloqSlpZGZmZkrfz6vXwuGDx/O1atXeeKJJ0hLS7PekOlIjRo1GDt2LA0aNLB7PsWtIT3hQtzDMq9dI3XvXgDOVWlt3V6jfgU8K5TSV+IOgWYZCrBCTXB1JzU9k6EROzkZn4xyvYhz2b+sx456cBTOzk6EPV2bH6btAqBqkkagXylOJKWSnJ7J0Dk7+WlkKyqVdbNrT6eeo9n2/lzKx6fhngY/zhnPmNeW5u7tCWwHf1lurjqxCdq9ccueEyHEnaOUIigoiHHjxjFq1CiOHDlCWFgYbm5uxMTEEBkZybBhw2jfvj2+vr5UqFCBRYsW0bBhQ9zd3QkICLD2lKenp1tHCTGZTBw9epTJkydTpkwZBg8enGcbmjVrRlBQEK+99hpmsxmj0cjMmTNJS0uzK9euXTueeuop+vTpw6uvvkrz5s0xGAxER0fz66+/Mm3aNGrVquXwHHPnziUgIIDhw4fn+nxr06YN7733HhEREQwZMqRIz2G7du34/vvvadasGWXL6jfstm/fntdee826nKVs2bK0bNmSDz74gMqVK+Pt7c0333zD2bO5J1kDqFKlCo888gjLli3jkUceoVq1anb7Q0ND6dmzJw0aNMDDw4NNmzaxd+9euxtBxa0hPeFC3MNS9+wFsxmzcuZ8tiC8fptsP49eyPazbaX6mDLNvLRwN3ti9OGmjN5rUUpPZ3nI7yGa+jbViwaUxccymY85U2NcrSqUsaS3XEi8zpA5O0hOs5+i2snghFfPntb10tsPsSFmA7kEtLUtn9kB6ck3fvFCiLtGamoqTk5OODnp96RMmTKFL7/8ks2bN9O3b1969erFtGnT8PLyIjg4GNBvQpw9ezZXrlwhPDycZs2a8fPPP1vrvHjxIqGhoYSGhtKuXTsmTZpE8+bN2b59u3UkD0ecnZ1Zvnw51apVY/DgwYwcOZJOnTo5DNznz5/PxIkTWbp0Kb169aJPnz589tlnBAcH4+vr67D+v/76i3379vHss886TCdxcnJi8ODB/P7775w8efJGnkarrCA7e4/3gw8+iJeXF0ajkdDQULvyCxcupGnTpowcOZLBgwdTqVIlPv744zzrf+KJJwDsbsjM0rZtW5YsWUL//v3p3r07S5cu5cMPP7RLdRG3hspzBIMSJCQkRNu5M4+bxIS4h1385FPiZ87kgk9TDtbVe1w8vIw8M/khDAbLfw4rx8KO2fpyxwlMvNKVOX9EA2AwXsA98GOy5rX/rtt3NKhoGzLw8LbzrJtzSK+3vJHAQbV4NmIHJrNevsMDPnw1MAQng+0/otS/DxDdpw8AiaVg4pvVWdZ7OW7O9r3mzAyFuIP6cv8fIDiPWTaFKGEOHTpEnTp17nQzbqnHHnuMffv2cezYsYILizuuf//+bN26lRMnThRqKEVhU9Dfr1Jql6ZpIYWpS555Ie5hKbv1UVHO+dl6weu29rMF4GA3MspF91pEREVb1x+oE0VWAB5WNcwuAAeo2dQHNw89z/Da5TSqpMLk3rbRVdYfjuO/vxy0O8atbh0MFfWJfTxTofTRs3x/1EFupN1QhRsLulQhxF1o586dfPjhh6xcudLauyruXtu2bWPWrFksXryYV199VQLwO0yefSHuUZrJROq+fSSX9iWhnJ63qAyKuq2y3UxkNkOsbVbKRafLZg2kQqOga8Sk/WndN7LxyFzncHZxom4r2xBaf28+y5PNqvNiuyDrtjl/RLP5qG2GTGUw4NmunXW96TEzy44tyz1uuN3NmTJeuBD3or59+/Lxxx8zevRoJk2adKebIwoQGhrKa6+9xqBBgxgxYsSdbs59T4JwIe5R1w8fQUtJ4Wy2XvCAht64lzPaCl05qQ8DCGilKjB7j20UgtI+timQw6uHU6eC45/X6rWpApaO9ZiDl0mITeG1zrXpUs+WLznx5wOkm8zWdY9sQXiTYxr/XPmHw5cP21dcoxUoywQ/F/ZDcuHGDhZC3D1OnDhBdHQ07733Hq6urne6OaIAmqaRlJTE119/bTcsobgzijUIV0p1VUodUUodU0rlGv5AKWVUSi227P9TKeVv2d5JKbVLKbXf8m+HbMc0tWw/ppT6RDm6K0KI+0Dq7l1kGly44GsbY7te2xxDamUbHzzWPZir1/UbKatWgMNXt1v3jWicd4+Ip3cp/Bt4W9f/3nQWg0Hx30frU8aof4ifuJjMN1ttNyC5t2yJsvyHXOMieF/VWHF8hX3Fbp5QpallRYPows2iJ4QQQpQExRaEK6WcgBnAw0Bd4CmlVN0cxYYCVzRNqwl8CGSNAh8PPKJpWgNgEDAv2zGfA88DwZZH1+K6BiHuZim7/yKuYhNMLvoY3p7eblR7oLx9oWz54FuTbGklofUvYdL0gLxuhboEewXne64GYbbRVg5FnScjLROfMm680sk2fNcn6/7hwlV9oh6DuzulW7Sw7mtyTOPXk7+SYc4xO6akpAghhLhPFWdPeHPgmKZpJzRNSwcWAb1ylOkFZM3tuhToqJRSmqb9pWnaOcv2A4Cbpde8MuCpaVqUpieYzgUeLcZrEOKupGkaqbt326Wi1GtTRZ+iPrsLtp7w3y1BuJuLAUodsm4PqxpGQarVKU/Zivq44+mpJo5uvwDAwNAa1PLVJ/VJSc9k8q+2ej3a2eptckzj8vXLbDmzxb5iu5szpSdcCCHE/aM4g/AqQEy29TOWbQ7LaJpmAq4COeezfRz4S9O0NEv5MwXUKUSJl3H2LFdSXEksq4+Va3BSPBBaOXfBbD3hh7TqAPRqVJntsX9Yt7et2jbXYTkpg6J+tt7w/ZvOomkaLk4GJvW0jZby895z/HE8HgCPsHbW7fVPaRjTHaSkVGsOTpYc9svH4VpcgW0RQgghSoLiDMId5WrnHJQ83zJKqXroKSrDC1PermKlnldK7VRK7bx48aKjIkLcs1J37+ZcZVsveNCDFSntmeOmqJTLkKh/Z03XnDmu6fnioXVTuHz9MgAV3CpQt0LOLDHHHgitjLOL/pFx6cw1LpxI1OsLqsAjjWy56BNXHCAj04xr1SoYLZNyuGbqgfjGMxtJuJ5gq9TZCH4P2tZjbHnqQgghRElWnEH4GSD7XKhVgXN5lVFKOQNlgcuW9arAMmCgpmnHs5WvWkCdAGia9qWmaSGapoVUrFjxJi9FiLvLtV1/ccHXNhdAvTYOfhDKdlPmUa0qJpxp7l+emLRd1u1tqrbBoAr3MeDm7kJwc9uIKPs32n6U+r9udSjtqo90cjT2GhGWyYByjpJiMpv49eSv9hVXa25bjvkTIYQQ4n5QnEH4DiBYKRWglHIF+gE5fotmBfqNlwB9gPWapmlKqXLASmC8pmlbswprmnYeSFJKtbSMijIQWF6M1yDEXenc37FkOus52u7uCr9a5XIXypYPftBcA4CBD9Vg8xlb7nVh8sGzaxBm+w58fHccKYnpAFQq68bLHW03d3609h/ikq7j0b6ddVvTYxpoDlJSqttGd5EgXAghxP2i2IJwS473KGA1cAhYomnaAaXU20qpnpZiXwMVlFLHgFeBrGEMRwE1gf8opfZYHj6WfS8Cs4FjwHHgt+K6BiHuRpmJiVy4bgu6/Rv74HCkzmw94Ye06vh6GnkwQFnH63Y2OBPqF3pD565YvQyVAj0BMGdqHNxi+yFqSKsAAiu6A3AtzcS7vx6mVKNGOJUtC0D5a+AfCwcuHeB4wnFbpVWz9YSf+wtMaTfUJiHEnTVnzhyUUg4f5co56CAoQSZOnIhSCpPJdEPHJSQkMHHiRHZbZj2+EeHh4Sil+OSTTxzuHzx4MP7+/oWqK+u1i46Otm7z9/dn8ODBN9yu4tauXTtat25dcMF7SLGOE65p2q+aptXSNC1I07TJlm0TNE1bYVm+rmnaE5qm1dQ0rbmmaScs29/RNM1d07TG2R5xln07NU2rb6lzlJZrGj4hSrbUPXuIL1/Puu7f2NdxwQv7rIsHzf70b1GDP87bRicJ8Q3B3cX9hs9fP1tv+OFt560zYbo6G5jU09auH/86y/7zSbiH2W78bHpML7v8eLYfsDwqQnn9BlMy0+H83htukxDizvv++++Jioqye6xdu/ZON+uulJCQwKRJk244CI+JiWHDhg0AREREOCzzn//8h2XLlhW5bcuWLeM///lPkY8XhSczZgpxj7kYtZ8Ud30kFIMyU6W2V+5CpnTMcUesq8cM1enXvBqbY2ypKIUZFcWRoAcr4mLU87+vxqVy8XSSdV+b4Ip2M2l+tv4YHmHZhyrUZ9VceXwlmeZMW6XVbGOKc3pbkdolhLizGjduTMuWLe0eISEhBR94C6Wllexf0ubNm4fZbKZbt27s3r2bv//+O1eZoKAgHnzwQQdH22RkZJBXH+aDDz5IUFDQLWmvyJ8E4ULcY04fvmpdruQDLpYbIu3EH8Vg1vO1z2jetGkQjGcp+POCLef6RvPBszi7OhHY2Haz8z87Yu32j8k2gc+ag7GcC24ETnobg89D2WSNuNQ4os5H2Q7KHoRLXrgQJY7ZbKZdu3b4+/tz9artM2z//v2UKlWK1157zbrN39+fAQMG8NVXX1GzZk3c3Nxo0qSJtQc4y+DBg6latSpRUVE89NBDlCpVitdff926/6uvvqJRo0a4ubnh7e3N0KFDuXz5sl0dH3/8MXXq1KFUqVJ4eXkREhJi14u8evVqWrVqRdmyZfHw8KB27dq8/fbbBV5vfueOjo4mICAAgOeee86aujNnzpwC6507dy5169blo48+sq7nlDMdJTo6GqUUM2fO5PXXX8fPzw+j0UhCQkKuYyF3OkpWysq2bdvo378/np6e+Pn58fLLL3P9+nW7Y1NSUhg3bhwBAQG4uroSEBDA5MmTMZvN1jLXrl3jpZdeonr16hiNRnx9fQkPD+fw4cMFXn92Wdf1xRdfMGHCBCpXrky5cuV45JFHOHPmTK7yX331FU2aNLG+1mFhYfzxxx8Oar59JAgX4h6ipadzPsXTuh7Q1PEw+WlnbCkdh8w1GPiQPzsu7CDVlAqAv6c/1T2rF7kdwc1svd3/7IxDM9t6VB6o5Ennurb9M3bGUbpJE+v6g8f1siuOZbtB0y4I3w6SZSbEPSczMxOTyWT3yAq+DAYD8+fPJykpieHD9VGHU1NT6devH/Xq1WPy5Ml2dW3atIn//e9/TJ48mUWLFmE0Gnn44Yc5cuSIXbmrV6/Sr18/nnrqKX777TeefvppAN544w1GjBhBeHg4K1asYPr06axatYqHH36YzEz9V7gFCxYwduxYnnrqKX799VcWLFhAnz59rMHyiRMn6NmzJ/7+/ixevJgVK1bw6quvkpycnO/zUNC5K1euzI8//gjA+PHjrak73bt3z7febdu2ceTIEQYOHEhwcDChoaHMnz/fej0FmTx5MkePHuXLL79k2bJluLm5Feq4LM888wxBQUH8+OOPvPjii8yYMYOpU6da95tMJrp06cLs2bMZPXo0v/32G8OGDeO///2v3ZesMWPGsGTJEt566y0iIyOZNWsWjRs3zvNLQUGmTp3KsWPH+Oabb/j444+Jioqif//+dmX+9a9/8fzzz9OkSROWLFnC/Pnzadu2LadPny7SOW8V5zt6diHEDbm27yBXPGta1wMf8ndY7vzRHWTtuVA6mPBq5Zjy582nomSpWscLNw8Xrl/LIDkhjXPHEqhSy5YW81KHYNYc1HvIV+4/z0shobBjB6DnhW9sCOtj1pOUnkQZ1zJQ8QEwloW0q5AcB1dO2vLEhbhPNIhocKebYLV/0P6CC+XwwAMP5NrWvXt3fvnlFwCqVq3K7Nmzeeyxx+jSpQtRUVGcOnWK3bt34+pqP89BbGwsW7dupXp1vbOgY8eO1KhRg3feeYd58+ZZy127do358+fTq5dtQu7o6GimT5/OW2+9xYQJE6zba9WqRevWrfn555959NFHiYqKomHDhnZlunXrZl3evXs36enpfP7553h66p0fHTp0yPc5KOy5s9JFAgMDadmyZV7V2YmIiMBgMDBgwAAABg0axAsvvEBkZCRdu3Yt8HhfX1+WLVvm+Eb+Qnj66aeZNGkSoN8c+ueff7Jw4ULrtoULF7JlyxY2bdpE27b6/zEdO3YEYNKkSYwbNw4fHx9rkDx06FBr3b179y5SmwBq1KjBd999Z12/ePEir732GufOncPPz49jx47x4YcfMmbMGP73v/9ZyxX0ped2kJ5wIe4h0b8fxuyk/2dVxnANT+9SDsuln7PlCXpUbwRgNzThzQbhTk4Gajbxsa4fzZGS0qBqWdrV1lNWNA0WOdt63RtHK5xNGmmZaayOXq1vNBigWjNbBTJpjxD3nGXLlrFjxw67R1baRJbevXszfPhwXnzxRb766is+/fRTatWqlauuli1bWgNwgDJlytC9e3eioqLsyjk7O9OjRw+7bZGRkZjNZvr372/XK9+iRQs8PT3ZvFn/LGzWrBl79uzhpZdeYu3ataSkpNjV07hxY1xcXOjXrx9Lly4lLq7gGX0Le+4blZaWxuLFi+nQoQNVqui/gD755JMYjUaHKSmOPProo0UOwCF30NqgQQO7nuRVq1ZRo0YNHnroIbtr79y5MxkZGWzbpt/v06xZM+bMmcOUKVPYuXNnoXvyb6RdgLVta9euxWw28/zzz9/UeYqDBOFC3ENi/rlmXa7i5/jPV9M0ylyLtq7XrNeUYwnHOJesDyfo4eJBE58mDo+9EdlTUo7vjiPTZLbb/1IH27jhc8+AqqKPqmJMM1MnRk83WXd6ne0AyQsX4p5Wv359QkJC7B41a9bMVW7QoEGkpaXh4+NjTR/Jydc396hPvr6+nD171m6bj48PTk7298VkBcs1a9bExcXF7pGYmMilS5cAGDhwIJ9//jl//vknXbp0oXz58jz22GPW4fpq1qzJ6tWrMZvNPPPMM1SqVIkWLVqwadOmPJ+Dwp77Rq1YsYIrV67Qu3dvEhISrKkbXbp04aeffiIxMbHAOipXrlykc2cpX7683brRaLS7ETYuLo5Tp07luu7mzfVhaLOu/dNPP2X48OF88803NGvWDB8fH8aMGZPrS9DNtAuw5qtnnbdq1arcbSQdRYh7hNls5vx1L7D8ahvQ0nFO9+GYOGpr8aAgE0WdOg2JOGr7qe4hv4dwcXK56fZUDiqLh5eRa1fSSEs2EXPoMv4NvK37m9bwolXNCmw9dolMDQ5Wb0Cds/rNMo1OauwPwJqnXsq5lP3MmaclCBf3n6KkgNxrUlJSGDJkCPXr1+eff/7hjTfe4MMPP8xVLjY21uG2rF7gLI56ditUqADAmjVr8PLKPXpU1n6lFMOHD2f48OFcuXKFNWvWMHbsWJ588kn+/FP/DGrfvj3t27cnLS2NrVu3MmHCBLp37050dDTe3t551l3QuW9U1nCEI0eOZOTIkbn2L1myhGHDhuVbx830ghdGhQoVCAgIYMmSJQ73Z90s6uHhwdSpU5k6dSqnTp1i6dKlvPHGG7i6ujJt2rRb3q6s1+ns2bPUrl37ltd/MyQIF+IecfGv41x31T/UnTKvU71tXYfl9uz7izpK72m+7FKZisZStzQVJYsyKIJDfPkrUv/J7+j2WLsgHGBU+2C2HtN7Ib5XfmRlSIacdmU+maRlprHjwg69TVVCQBlAM0PcQbh+FdzK3pK2CiHuDqNHj+bs2bPs2bOHX375hVdeeYUuXbrkymnetm0bMTExVKtWDYCkpCRWrlxZqDzeTp06YTAYOH36NJ06dSpUu7y8vKzB9xdffJFrv9FopEOHDly7do1evXpx8uRJh0F4Yc+d1VubmppaYNtiY2NZvXo1vXr14pVXXsm1/6mnnmLu3LkFBuHFrWvXrvzwww94eHg4vD/AkRo1ajB27FgWLFjgcLjFWyE8PByDwcCXX37JBx98UCznKCoJwoW4Rxzf9A+g381e0XARZ1fHf75n/rFN0pPpFcjVtKvsubgHAIWidZVbN+NYcDNbEH5yXzwZ6Zl2Qya2DCxPM38vdkRfYY9XAGaDEwZzJn7n0yiT4kRSacXvZ37Xg3CjB/jWt0wypMGZnVCz4y1rqxCieO3Zs4f4+Phc20NCQnB2duaHH35g9uzZzJs3j8DAQF5++WXWrFnD4MGD2bdvHz4+tvtMfH196dy5MxMnTsRoNDJt2jSSk5MLNYlMUFAQ48aNY9SoURw5coSwsDDc3NyIiYkhMjKSYcOG0b59e55//nnKlClDaGgoPj4+HD16lHnz5tG5c2cAZs2axebNm+nWrRvVqlUjPj6eqVOn4ufnR/369e3OmdXLXNhz+/r6UqFCBRYtWkTDhg1xd3cnICDAYU/5ggULMJlMjBkzhrCw3EPLDho0iPfee48TJ04QGHjnbmjv378/3377LR07dmTs2LE0atSI9PR0jh8/zooVK/jpp58oXbo0oaGh9OzZkwYNGuDh4cGmTZvYu3cvgwYNKpZ2Bcz3NvIAACAASURBVAUFWW/KTEpKomfPnjg5ObF9+3YeeOABnnzySUBPIapRowbr1q0roMZbR4JwIe4RZ06mkhWEV6vu6rDMleR0uHTM+pddtmpd1p/dglnT87UbeDegQqmi/RzqiHc1D7wqlebKhRRMaZlE74snOMSWy6mUYlSHYAZ9s51UFzcOe1Wn7qWTANQ/pRFVR/H72d/RNE3/T6xaC9tMnzF/ShAuxD3kiSeecLj94sWLpKam8txzz9G/f3/r6B4A3377LQ0bNmTw4MGsXLnSGsyGhYXRrl073nzzTc6cOUPdunX57bffHN7E6ciUKVOoU6cOM2bMYMaMGSilqFatGh07diQ4WL9fpVWrVnz77bfMmzePq1ev4ufnx4ABA6yjfTRq1IjffvuN8ePHExcXR/ny5WndujULFiygVCn9pvjU1FScnJzs8tILc26DwcDs2bN58803CQ8Px2Qy8e233zqcLj4iIoKgoCDriCM5DRkyhGnTpjF37lwmTpxYqOenOLi4uLB69WreffddvvzyS06ePIm7uztBQUF0797dOgJO27ZtWbJkCe+++y4mk4nAwEA+/PBDXn755WJr2/vvv0/NmjWZOXMmERERuLu707BhQ+sXLtCHWLzZm0RvlLofZn0PCQnRdu7ceaebIUSRpaWa+PqVDWhK/6Dv2680FdvlHtZq+Z6zZPzwAn2cLOkn3d7n9ev/8NvJ3wAY1XgUwxsNv6Vt27HyJNt/1gNr/4bedB/R0G6/pmk8OmMre89cpf+h1Qw4EgnAxiYuzOximca+13ICywXC/qXwg2XYqsB2MHA5QpQ0hw4dok6dOne6GXctf39/Wrduzfz58+90Uwr02GOPse//2bvz+DarK/H/nytLlizva2zH8ZLVSZyFkJAQlrKkCYWyQzsMWxc6FKYtP+gwzLftAC2dEqCdlukyLdCSwFC2AmlKKAUadlJIAgnZE8eW93jfVy3P749HfvTIkmOTWLacnPfr5Rf3ka7ka4U4R1fnnvPpp5SWlk70UsQ4Genvr1Jqu6Zpo2oVK9VRhJgEKj+pNQLwxK4q0pcvCjtv8/4GilSdce1Lm84HtYGOYGOVD25m3vmu3NNMX7c76P7B3XCAHZmBiilLKgIfxL1b864+MB/OrN4GvvHdlRBCiNHYtm0bP//5z9m0adOwnwAIMRIJwoWYBMr/UWGMs7Q6LHGh9cG9Po23DzYGBeEuh5P2fr1FdJojjeK00R2W+SxSpjjJKkgEwOfVKPukMWTOqrlZzM1J4kBaPr3+OudJzb1kteo74e9W+4Pw5GmQ6C+jNdAF9XvGfL1CCHG8vvSlL/Hwww9z2223GekrQnxWEoQLEeU0n0ZVeZ9xnZftCztvR1Ur9LSQpvRa4po1jt29geYSJRklEStRZa4ZPrRxD+i74V9ZWYDHYmVXRuDg0IIKPQjf3rCdroEuUCp4N1zqhQtx0nG5XFGfilJWVobL5eLBBx8M6fYpxGhJEC5ElGuq7qLPraei2NxdTJmfG3be5v0NTDftgqv0mexuCewkl6SXhHvYmJh56hTwx/c1B1vpbu8PmXPhghwcNktQSsrK2gQAPD4PH9b5A+5pplx36ZwphBDiBCVBuBBRzrUrUPIrrWUvznnhU0re3N9IkToSuCF9BnuaAkH4/Iz5EVtjQqqdqbNS9AsNSreFtndOdNi4YH42n5iC8DmHB1D+w+GBvHBz58x/RGzNQgghxESSIFyIKFdhCsLTm3djD9Px60h7H3vrOphuqTVuc6cVsa9ln3FdkhG5nXAITkk5tC00JQXgqlOnUZGUTatd3wGP7eoj3x+vv1utlyokewFY9VKMtFVCR13Y5xJCCCEmMwnChYhifd1u6l2d+oXmY4q1GWuYVshvHdAjWfNO+MH4ZNw+vVLJ1ISppDnSIrrWGadkoSx6Tkp9eQddrX0hc06fkU52ipOdGTON25ZV6fmUDb0NHGw9CNZYmHpq4EHVkpIihBDixCNBuBBRrK60zRgndVaSOLsw7LzN+/Ug3JwTvkd5jHGkd8EBHAk2ps5OMa7LdoR2zouxKK5YMjUoJWVlTYIxDluqUPLChRBCnIAkCBciitWWthvjlLZS7HND88H7PV7eK21C4QvaCd/VHwiCI3ko02zGKZnGuGxHaF44wJVL8tiRFQjCcw63YfUMKVVozguvlLxwIYQQJx4JwoWIYuad8OT2wziKQ7t0bS1vpWfASy7N2JW/UY4zg91tB405kTyUaVa0ONOoklJ7sI3eroGQOdMzE8grnk5tfDoAMf1uZvtT2Xc07tDrmpuD8Lqd4O6N9NKFEEKIcSVBuBBRyj3gpbGi07hOaT+Mozj0UKaRimIJpKL0pE+nrL0MAIuyMD99fILw+GQ72UXJAGgalO8MTUkB/YCmOSXl/Hp9B92n+dhSuwWcaZDuzxv3uaHu08guXAhxzNatW4dSyviKj4+nsLCQyy+/nOeeew6fL3xvg5G89dZbKKV46623jNt+8Ytf8OKLL47RykPddNNNKKW44447wt5/7733Hne/BaUUP/jBD4a9P9zPHQ1cLhdKKR577LGJXsoJQ4JwIaJUfXkHPp+ephHfXYc9VsM2bVrIvDeNQ5mBIHxvShY+Tf+Hb3rydJw25zisWDc9KCUltHsmwEULc9idHXhDMa9cM8ZGXnjessADqreO7SKFEGPu+eefZ8uWLbzyyivcd9992O12rrnmGlavXk1v79h8mhXJILy3t5fnn38egKeeegqPxxMy56abbmLLli0R+f6DlixZwpYtW1iyZElEv4+YeBKECxGlhqai2IuLUZbgv7JVLT2UN3UDMCsmUBZwj91ujMdrF3zQ9MWBILxqXwsDvaH/kCXH2cg4ayU+f+5KankjcX16IP5ezXv6G4i8pYEHSBAuRNRbvHgxK1as4HOf+xzXX389zzzzDM899xybN2/m3//93yd6eSN66aWX6Ojo4MILL6ShoYFXX301ZE5eXh4rVqwI8+gAr9cbNoAfraSkJFasWEFSUtIxP4eYHCQIFyJKmYPwlPZSHMWhhzK3VbQY40XOwK7zbi1QHnBBxoIIrTC85Mw4MqbpFU98Ho2K3c1h51181lwOJ+vdPy0+H8uP6I9p6Wthb/PeITvh2yK7aCFERFx55ZVceumlPProo/T09Bi39/T0cNddd1FUVERsbCxFRUX813/911FTVwoLC6moqOCpp54yUl++8pWvAFBaWsr1119PUVERcXFxTJ8+nVtuuYXW1tZRr3X9+vWkpqaybt064uLieOKJJ0LmhEtHUUrx/e9/n7Vr1xo/z65du0b9fYcKl45yzjnncOaZZ/LGG2+wZMkSnE4nJSUlbNiwIeTxO3fu5JJLLiE1NZW4uDjOOOMM3n333aA5W7du5fOf/zzp6ek4nU6mT5/Orbfe+pnXOvh6HDp0iIsuuoiEhAQKCgr40Y9+FPJn2djYyK233sq0adOw2+1MmzaN66+/nv7+0A7LJwsJwoWIQj6vjyNlHca1vhMemg++1RX4B6ZAC6Sj7OoN7IqPR3nCocy74Yc/CZ+ScubMDA7mBQ6aLq8KlDd8t/pdyJoP1jj9ho5q6Kgd+hRCiEngwgsvpL+/n23b9DfTHo+HNWvW8Nhjj3Hbbbfx17/+lZtuuon77ruPO++8c9jneemll8jOzmbNmjVs2bKFLVu28J//+Z8A1NbWkpeXxy9+8Qv+9re/cffdd/P3v/+dCy+8cFRrrK2t5Y033uDLX/4ymZmZXHbZZWzcuHHUQfy6devYtGkTP/3pT9m0aRO5ubmjetxncfjwYW677TbuuOMOXnzxRXJycrjqqqsoLS015nz88cesXLmSlpYWHn30UV544QXS09NZtWoV27dvB6Crq4s1a9YQExPDunXreOWVV7j77ruPa/f+8ssv57zzzmPDhg1cdtll3HPPPaxfv964v7W1lZUrV/Lss89yxx138Morr/Dggw/idrsZGAg9wH+ysE70AoQQoZqqu3D3ewGw97Xi6GvBMTe0Mso2l74TbmeApH49CG+1xFDTq+eJ2yw2ZqfOHqdVB0w/JZOP/lIOQMWeZjwDXqyxMUFzYiyK1LPOgD1vADBtfyecpd/3fu373LL4Fpi6BCre12+s3gbzLhm3n0GI8bYvTPWjiTJ3/76RJ41Sfn4+AHV1+u+op59+mvfee4+3336bs88+G4Dzzz8fgB/+8IfcddddZGVlhTzPKaecgt1uJyMjIyQl5OyzzzaeC2DlypXMnDmTs846i08++YRTTjnlqGt88skn8fl83HDDDQDceOONPP300zz77LN885vfHPFn1DSN1157jbi4uBHnHqumpibeeecdZs3SD7UvWbKEnJwcnnvuOb73ve8BcOedd5Kfn8/mzZuJjdUboa1Zs4aSkhLuu+8+NmzYwP79+2ltbeXBBx9k4cKFxvMPfqpwLL773e/y1a9+FYBVq1axefNmnn76aeO2n//855SVlbFt27agP4trrrnmmL/niUB2woWIQnXm+uDtpSiLBfusWUFz2nvcHKzvAmB6TAMKPad6T9pUY05xWjG2GNs4rDhYWk48KVP0w6Cefi9V+1rCzjv7ivNxW/TgPKuphdRO/8/QtIdud7fkhQtxAtA0/e/1YBrHq6++SkFBAStXrsTj8Rhfq1evxu12849/fPbeAAMDA/zkJz+huLiYuLg4bDYbZ52lv6s/cODAiI9/4oknmDVrFqeffjqgB5K5ublhU1LCueCCCyIagAPMmjXLCMABsrKyyMrKorKyEtAPlr799ttcffXVWCwW43XVNI1Vq1bxzjvvGM+TkpLCzTffzP/93/9RVVV13Gu76KKLgq5LSkqMdQG89tprLFu2bMQ3QycbCcKFiEK1Qw5lxk4vwuJwBM3ZXhkIbM9OC8zflZRujMf7UOYgpVRwlZRhUlJm5WdSmWvunpkBgEfz8HH9x5IXLsQJYDDIy8nJAaChoYGKigpsNlvQ12mn6Z1ym5vDnyM5mv/3//4f9957L9dddx2bNm3io48+Mqqo9PX1HfWxW7duZe/evVxxxRW0tbXR1tZGZ2cnV1xxBVu2bOHgwYNHfbz5Z4uktLS0kNvsdrvx87W0tOD1ernvvvtCXttf/epXtLa24vP5SE5O5s033yQ3N5dbb72V/Px8SkpKeOGFF8ZsbeZ1gf5nmpeXd8zPf6KSdBQhooymaUMOZR7GEWb3wJwPvjypBfwlxffYYsCfYjcR+eCDZpySycevVgBQ/mkTXq+PmJjQ9/3Wpcugej8AxaVWNvnPn249spWzZps+qqz9BLxumICdfSHGw1imgESTTZs24XA4OPXUUwFIT0+nqKiI5557Luz8wsLCz/w9nnnmGW644Yag+ttdXV2jeuxg7vIDDzzAAw88EHL/E088wY9//OOjPsfx1g4fCykpKVgsFv71X//VSKsZyuKvsLV48WJeeOEFPB4P27Zt4/777+dLX/oSO3fupKRk7P/dyMjIoKamZsyfd7KTIFyIKNPe0Etvp9750uruIb67Dsfc0Ly5wXxwgNlW/SCmBuz2Bv7hGe/KKGaZ+YkkpNrpau2nv8dD7cE2ps0N3cmZecG5uDc8CcD0sja9y49SfHjkQ1h6ByRPg/Yq8PRC/R7IXTzeP4oQ4hi9+OKLbNy4kdtuuw2nU09Ru+CCC3jhhRdISEigOEzVp6Ox2+1ha4739PRgswW/QX/88cdHfL6BgQGeeeYZli9fztq1a0Puv/3223nyySe57777oiLQPpr4+HjOOussdu7cyZIlS4yA+2isVisrVqzgvvvuY+PGjezbty8iQfjq1av58Y9/zM6dO1m0aNGYP/9kJUG4EFEmKBWl4zAKDfuQA1v9Hi87qwN541nuagCOxMTQ7NXLgMXb4ilMLoz8gocxmJLy6WZ9bWWfNIYNwmecuYxPbA7i3H1kdneT3WrjSJrG/pb9tPe3k5y3VA/CQc8LlyBciKi0Y8cOmpqaGBgYoLKykpdffpnnn3+ez3/+89x///3GvGuvvZbHH3+c888/n+9+97ssWrSIgYEBDh8+zMaNG9mwYYMRsA81b9483n33XV5++WWys7PJyMigsLCQCy64gPXr17NgwQJmzpzJiy++yAcffDDiml9++WWam5v52c9+xjnnnBNy/80338wtt9zCW2+9xbnnnnvMr81Q+/fv509/+lPI7YMHVI/Vf//3f3P22WezZs0avv71r5OTk0NTUxMff/wxXq+XtWvX8vLLL/PII49w2WWXUVRURHd3N//zP/9DYmKikRM/1m6//Xb++Mc/smrVKn7wgx+wYMECmpqa+POf/8xvf/tbEhMTefvttzn//PP5wx/+MOxO/olGgnAhokxQKkrbYYCQdvW7a9oZ8Og1WAvTncS26vN222ONOfPT52NRE3vsY4Y5CN/RyNn/NBtlGVJj12qldeY84vZ9DMBpValsTGvBp/nYXr+d8/KWwZ6X9MnV2+C0b4zrzyCEGJ2rr74aAIfDQVZWFkuWLOGZZ57hqquuCtpFttls/O1vf2Pt2rU88sgjlJeXEx8fz4wZM7jooouMqh7h3H///XzjG9/gS1/6Er29vdx4442sW7eOX/7yl2iaxve//31AL4v49NNPG3nmw1m/fj2JiYnG2oe65ppruOOOO1i/fv2YBuEvvPBC2BzsrVuP7wD6kiVL2Lp1Kz/84Q/5zne+Q3t7O5mZmSxZssSo8jJr1izi4uK47777qKurIzExkWXLlvH6669HLG87JSWF999/nx/84AesXbuW5uZmpkyZwnnnnWf8eWuahtfrPWqt+BONGjy1fCJbunSpNlifVIho9+R/bqGjUf+49dSPf0q6vYtZ774TNOe3bx9m7V/1POobFiXyowMXA/Dz9Az+kKTvIH215Kvcceod47jyUD6fxrq73jPSa66481RyZiSHzNv60K9J+P2vAPhwVjY/u6oJgOvmXsddOefB71fpE9NmwHc+Hp/FCxEh+/btY26YkqNCiOg30t9fpdR2TdOWDjvBRKqjCBFFutv7jQDc4nOT2FmFPVynTFM++NnpgZ3z3fGJxrgkfeIOZQ6yWBRFi8xVUhrCzpvzhXMC48o2lH9z4MMjH0LOQojx74y1HIae8OUOhRBCiMlEgnAhooi5PnhShwuL5glpV+/zaWyrCFRGWRin7xr7gD0xgU+2JvJQpllQqcIdjYT79C1x3lx64vQ3ECn9feQ36r+aDrUeosXTDdmBhhJSqlAIIcSJQIJwIaLI0PrgAI65wUH44cYu2nr09I60+Fgy+/Wca5fNSjd6Ll2aI43s+OzxWPKI8uakEuvQG/J0NPXRUtsdMkdZLAwsCBy4XOxKNcZbj2wdUi9cmvYIIYSY/CQIFyKKDK0PDoRURjHXBz+1IBXVfAiA3Xa7cXtJRknUlNOKsVqYNi/QQMi1qynsvNxzzzLGsw4Fdsv1IFw6ZwohhDixSBAuRJQY6PXQXO2v8a35SG4vQzkcxBbkB83bVhHIiV5WmArN/soopooCE9mkJ5yihaYg/NPw3fCyzznTGM+va8fi8+eF130YvBNesx1OotPzQgghTkwShAsRJerK2hlMl07oqsHq7cM+ZzYqJiZo3jbTTvjSghT9sCLB5Qmj4VCmWX5JOoMb80fK2+ntHAiZE1tYSG+KHqzHuweYcUSvoOrqcNEQ64D4LH1ifwc0jdxGWgghhIhmEoQLESXCpaI4hqSi1Hf0UdmiN+OxWy2UxHeCpw83sN8evTvhcQmxZE/3lybUoGJ36G64UorYpYGaviWlgUovH9VLXrgQQogTiwThQkQJc2WUlPZSIPRQpnkXfPG0FGLbywAos9lw+7eac+NzSXWkEm0KF2YY4+HywqeeF8gLn1sueeFCCCFOXBKECxEFvG4f9a4O43qwMop9TnCnzK2m+uBLTfngh2Ntxu2zUmdFcqnHrHBBIAiv3NuC1xOa151w+gpjPLe+DatnmLxwCcKFEEJMchKECxEFGqs68br1oDSutxH7QAcohWP27KB52031wZcWpkGTXhml1BSEz0yZOQ4r/uxSc5wkZTgAcPd5qT3YFjLHlpPDQM5UAOxeL7Nr9Lzwmq4aapOzQfl/ZTXsg76OkMcLIYQQk4UE4UJEgfryQECZ1F4OgC1/Gpb4eOP2rn4Pe2r1lBWlYEl+KjTraSultkAQPiNlxngs+TNTSgXthg+XkpKycqUxnnfIlBfesgey5vuvNKiV9vVCRJubbroJpRR33HHHRC8lrLfeegulFG+99dZEL+WoZs2ahVKKjRs3hr3/nHPO4ZxzzhnVc917770hJWuVUtx7773HucqxV1hYyHXXXTfRyxg3EoQLEQUaKkxBeKcLIGQXfEdlG/6qfcyZkkhynA1a9Jzw0kmQjgKheeHhumemnnm6MS6p9Brjj+o+krxwIaJYb28vzz//PABPPfUUHo9nglcUasmSJWzZsoUlS5ZM9FKG9f7771Naqm+wrF+/Puyc3/zmN/zmN7855u+xZcsWbrrppmN+vBgbEoQLEQUaKjqNcVJnBQD2WcHBtDkffFlhGng90F5Fr1JUW/W0DYuyUJRcNA4rPja5s1Kwmbtn1oV2z3QuX26MZze0Yx/QA/WPjnyENtUchEv7eiGiyUsvvURHRwcXXnghDQ0NvPrqqxO9JIPX68Xj8ZCUlMSKFStISkqa6CUNa/369VitVlavXs3LL79MS0tLyJx58+Yxb968oz5Pf3//sPetWLGCvLy8416rOD4ShAsxwfp73LTV62UHleYjoUtvQ28fshNubtKztDAV2qvA56HMZkXzf9SYn5iPPcZOtIqxWsifl2Zcuz4NTUmxpqXBDD2v3ar5KK7Qd/nre+qpTDP9o1G9FcLspAshJsb69etJTU1l3bp1xMXF8cQTT4TMGUyN2L9/P2vWrCE+Pp78/Hwef/xxAJ588kmKi4tJSEjg3HPP5fDhwyHP8eijj7Jo0SIcDgcZGRl8/etfDwlUlVJ8//vfZ+3atRQVFREbG8uuXbuGTUd56aWXOOOMM0hISCApKYnTTjstKBXkV7/6FaeffjppaWmkpKSwYsUKNm3aFPQcLpcLpRS/+93vuPvuu8nJySElJYWLL76Y6urqUb2GfX19PPfcc6xevZo777yTgYEBnnnmmZB5Q9NRBn+uF198kW984xtkZmYyZcqUYb/P0HSUwT+XQ4cOcdFFF5GQkEBBQQE/+tGP8A1pjtbU1MQtt9zC1KlTsdvtFBcX88gjjwTNOXLkCDfeeCO5ubnY7XZycnL44he/SENDw6heh6E/18aNG/nWt75FRkYGmZmZXHfddbS1BZ8r8ng8PPDAA8ybNw+Hw0FmZiYXXHAB+/fv/0zfczxJEC7EBDPvgif01xPj0z/CNe+Ee7w+PqkM/MJZWpgGrXru+GFTp8xozQc3M6ekVOwK3z0z9YxAXvj8wwnG+KO+BnD46433NBvpOEKIiVVbW8sbb7zBl7/8ZTIzM7nsssvYuHEjra2tYedfffXVXHTRRWzYsIFTTz2Vr33ta3zve9/jf//3f1m7di2PP/44Bw4c4J//+Z+DHvcf//Ef3HrrraxatYqNGzfy0EMP8eqrr/KFL3wBr9cbNHfdunVs2rSJn/70p2zatInc3Nywa/nlL3/JFVdcQVZWFuvXr+f555/n8ssvx+VyGXNcLhc33XQTzz//PM8++yxLly7li1/8In/9619Dnu/++++ntLSUP/zhDzz88MNs2bKFa6+9dlSv44YNG2hvb+eGG27gvPPOIy8vb9iUlHC+/e1vo2kaTz75JOvWrRv14wZdfvnlnHfeeWzYsIHLLruMe+65J+j7d3R0cMYZZ7Bp0ybuvfdeNm3axMUXX8wtt9zCL3/5S2Pe9ddfz5YtW3jooYd4/fXX+Z//+R/y8vLo6en5zGsCuO2221BK8cc//pG7776bF154gdtuuy1ozj/90z/x/e9/nwsvvJANGzbw6KOPMm/ePOrq6o7pe44H60QvQIiTnTkfPLFFzwNUNhuxBQXG7fuPdNIzoP8Dk5PsYGpKHBzSg3DzocxorYxiVlCSDgrQ4EhZO71dA8QlxAbNiT99Ba3+XbSSSrdx+0f1W7k6bxmUvqHfUL0V0qP/jYcQo/Hrb26e6CUY/vW3532m+U8++SQ+n48bbrgBgBtvvJGnn36aZ599lm9+85sh8++8805j7tKlS/nLX/7C7373O8rLy41Ukbq6Om677TYqKiooKCjA5XLx0EMPcc8993D33XcbzzV79mzOPPNM/vKXv3DZZZcZt2uaxmuvvUZcXJxx2759+4LW0dHRwfe+9z0uv/xyXnzxReP2NWvWBM376U9/aox9Ph/nn38+Bw8e5Le//S1f+MIXguYWFBTwxz/+0bhubGzkzjvvpLa2dtg3AoPWr19PcnIyl156KRaLheuuu461a9eyf/9+iouLj/pYgNNOO43HHntsxHnD+e53v8tXv/pVAFatWsXmzZt5+umnjdsefvhhKioq2LVrF7P8G0WrVq2ira2NH/7wh9xyyy1YrVa2bNnCT37yk6A3H1dfffUxr+vss882gvzVq1dz4MABHnvsMdatW4dSis2bN/PCCy/w8MMP853vfMd4nPn/h2gkO+FCTLAGlykfvEPPB4+dMQNlDbxH3lkd2AU/JT9FH/h3woPKE6ZGfxAelxBLdpG+m60N0z3TuWwZmkX/9TS9uZ34Xj3tZOuRrWhTTfXCqz6K/IKFECN64oknmDVrFqefrh+sXrVqFbm5uWFTUoCgwDU1NZWsrKyQXO3BoLOqqgqA119/HZ/Px7XXXovH4zG+li9fTlJSEu+8807Q97jggguCAvBwPvjgA7q6uviXf/mXo87bvn07X/ziF5kyZQpWqxWbzcbrr7/OgQMHQuZedNFFQdcLFiwAoLKy8qjfo66ujtdff52rr74aZQVj5QAAIABJREFUh0Mv53rjjTcCDPs6DnX55ZePat5whq69pKQkaN2vvvoqy5cvp6ioKOjPYM2aNTQ3N7N3714Ali1bxkMPPcTDDz/Mrl27wh7CP551LViwgP7+furr6wF47bXXUErxjW9847i+z3iTIFyICWZu0mMcypwdfCjz06pAN81Fef4gvCVMEJ4c/UE4QOHCdGPs+jQ0CI9JSCB2vl6O0ALMc+k/Y3NfM66MwCcEVEsQLsRE27p1K3v37uWKK66gra2NtrY2Ojs7ueKKK9iyZQsHDx4MeUxqanBX39jY2LC3gZ4nDRj5xDNnzsRmswV9dXR00Nwc/LskJydnxLUPPuZohxSrqqo4//zzaWlp4Ze//CUffPABW7du5YILLjDWZpaWlhZ0bbfbg36O4fzf//0fXq+XSy+91Hgds7OzWbx4sfFJw0hG8zMfTbi1m9fd0NDAO++8E/L6D+5yD76ezz77LJdccgkPPvggCxcuZOrUqWHzy49nXRB4TZubm0lLSxvxTVe0kXQUISZQd3s/3W36CfYY5cXZcwQIrYxi3glfOBiEt1bQpRR1/h1zq8VKQVIBk0Hhwgz+sUHP567c24zX4yPGGrwnkHT66TTv2gVAyWEnW+fqb1a2WTwUDeaz1O+B/k6wJyLEZPdZU0CixWDO8AMPPMADDzwQcv8TTzzBj3/84+P+Punp+pv31157LSRgN98/aGht7HAyMvQzKjU1NZSUlISd8+qrr9Le3s5zzz0XFKwfa37zcAZ3uy+++OKw92/evJlVq1Yd9TlG8zMfj/T0dLKysnj44YfD3j/H3+U5KyuLX//61/z617/mwIEDrF+/nnvuuYfMzExuueWWMV9XRkYGLS0t9Pb2TqpAXHbChZhADeZdcE8jFk3fJTDXCO8d8HKooQvQm/QsyEvW8zhay4Pa1RcmFWKLCVxHs7Sc+ODumYdCu2fGm1rYL6gcMMZbm3dBlr80l+aDGmnaI8REGazesXz5ct58882Qr8Fd3ONNRwD4/Oc/j8ViobKykqVLl4Z8FRV99vKsK1euJCEhIaS6h9lgsG0znb85ePAg77///mf/IYaxfft2du/ezc033xzyGv7tb3/DbrePOiUlkgarjeTn54f9M0hMDN0QmTNnDj/5yU9ITU1l9+7dEVnX6tWr0TTtuPLhJ4LshAsxgcyVURL93S8heCd8T207Xn+XnhmZCSTYrdDVCANdHE4IdNScDIcyBymlKFiQwa439bJdrk+bmDY3+OPGuFNOQbPFotwD5LV3kdoZQ2uiYvuR7Wh5S1ENe/SJ1R/B9M+N948ghABefvllmpub+dnPfha2g+PNN9/MLbfcwltvvcW55557XN9rxowZ3HXXXXzrW9/iwIEDfO5zn8PhcFBVVcXrr7/OTTfd9Jm/R2JiIvfffz/f/va3ufLKK7n22mtJTExkx44dOBwOvv3tb7Nq1SqsVis33HAD3/3ud6mrq+Oee+4hPz//mNMrhlq/fj1KKe66666wbyYuu+wyXnzxRX7zm9+QkJAQ5hnGx+23386zzz7LWWedxe23386cOXPo7u5m//79vPvuu/z5z3+mvb2dVatWce2111JcXIzNZuPPf/4zra2trF69OiLrOvfcc7nyyiu54447qKqq4rzzzsPtdvPOO+9w0UUXGf9vWq1WbrzxRn7/+99HZB2fleyECzGBzDvhCU163qQlIQGrKa9vZ3UgH3xhnr88n/9Q5qHY6G9XP5yiBUfvnmlxOIgzdbUrKdOb/DT0NlCVZaqhXiWdM4WYKOvXrycxMXHYyhfXXHMNcXFxn6nM3tH85Cc/4ZFHHuGdd97hS1/6EpdeeikPPPAAqampRrWOz+pb3/oWzz//PNXV1Vx77bVceeWV/OlPfzKC4fnz5/PUU09RUVFh5DmvXbuWs88+e0x+JrfbzdNPP82555477G7+17/+dbq7u/nTn/40Jt/zWCUnJ/PBBx9w4YUX8sADD7BmzRq+9rWv8ec//9l4A+RwOFiyZAmPPvooV111FZdffjlbtmzhqaee4tJLL43Y2p555hnuvfdeNmzYwCWXXMLXvvY19uzZE5Qn7/V6Q0pZTiQ1Fh8RRbulS5dq27ZJdz0RXTRN4/f/9i793Xpd8BX/uAdnXxNxp5xC4dOB8lbfefoTNu6sBeCHl8znxpWFsPNZeOlf+JfsTLb4899+cc4vOL/g/HH/OY6V1+Pj9//2Lu4+/RfiNfcsJy0nPmhO0+8eofHnPwfgrTnJ/OYKvcPmDxf8K1dsvEufFJcK/16u5+oIMQns27ePuXPnTvQyhBDHYKS/v0qp7ZqmLR12gonshAsxQTqaeo0APDbGS1yf3j1yaKfMT4MOZQbvhJtrhE+2nfAYq4VpxYEUlMo9oVVSgvLCq/qNDpnbuisgzv/Y3lYwpfIIIYQQk4EE4UJMEHN98BTVyuA+rjkfvL3HjavZfygoRjE3x19Dt9VFu8VCo78ySqwllmmJ08Zl3WMpf34gCA9XL9wxfz5avJ7/mN7TR66/M/W2+u2QJ/XChRBCTF4ShAsxQerNnTLbXcbYXCP805rALnhxdhIOm54XTUt50C749JTpxFhiIrfYCCkoCZQUqy1tY6DPE3S/iokhYcVy47qkXP+VVdddR0226eNAqRcuhBBikpEgXIgJYj6UGV+10xibd8I/DXcoE0LKE06myihmCakO0nL1PHCfR6PmYGipwgR/Bz6ABYcdxnib05Q/LjvhQgghJhkJwoWYAD6vj8ZKU3nCFj2n2ZqZidXUhGJnVSAoNTplDnRDV/2kroxiVjA/sBteGSYlxZwXPr+6F+Uv17jN3QLK/yusYR/0tYc8VgghhIhWEoQLMQFaj/TgGdDryzodGvYBfVd8aKfMoJ3waYOHMl0AHDalo8xKObbSXNEg35SSUrGnOaRUYez06WjpejnDhAEP0/Wmomxt3AFT5vtnaVCzfTyWK8SYOBkqkwlxohnrv7cShAsxAepNqSipsYEdcXMQXt/Rx5GOPgDibDHMzPQ3aGgpR2Ny1wg3y5mRjM2u57N3NvfRVh/cClopRfIZK43rknL9CGtNVw1HchYGJkq9cDFJ2Gw2ent7J3oZQojPqLe3N6hz6vGSIFyICRDUrr672hibyxOaU1FKpiZhjfH/dW110Wyx0BajB65x1jhyE3IjvOLIibFayCsOpOCEq5ISb8oLLymPNcZbkwKPo+rDyCxQiDGWlZVFTU0NPT09siMuxCSgaRo9PT3U1NSQlZU1Zs8rbeuFmADmdvXxtXuMcVBllKBDmSmBBw85lDkjeQYWNbnfTxeUpFO+U6+TXrmnmcWr8oPuN+eFF9f2YfMo3FbFdnq5ePCO6m3g84Flcr8W4sSXlKSXGq2trcXtdk/waoQQo2Gz2ZgyZYrx93csSBAuxDjzuL00V3cZ13GH/d1clcI+I5BWstPUpGfRNFMQ3lJOqbkySurkrIxilm86nFlzqA13v9dIUQGwZWfDtHyoqsTu9TG72sKeQsW21oPgzICeJuhvh6aDkFU8ET+CEJ9JUlLSmP5jLoSYfGTLSIhx1lTdhc9f4SM5JQbbgB6Q26ZNw+J0AvpHX7tqAjvhi4aUJzTXCJ+s5QnNEtOGlCo80BoyJ+XMM4zxAn9eeEVnBY15pwQmSb1wIYQQk4QE4UKMM3M+eKqzzxibU1EqW3po69E/pk5x2shP04NzvB5oq6Q0NpAXfSIE4RC8G14xQgv7kvLAm5BtqdmBSZIXLoQQYpKQIFyIcRbUrn7giDE2V0bZacoHXzA1GaX8Te07qtF8nqDyhCdKEF5gamFfGaZUYfxpp6H5X4cZDX04+/z1wmNM86RCihBCiElCgnAhxlmDqV19fMN+Y+wYpjLKorzgfPD6mBg6/ZVSEm2JZDnH7qT2RMqZmWLkgXc0hZYqjElJwTpHz/eO0WBepR58b+2uBIv/eEvTAegNTWURQgghoo0E4UKMo/5eD63+4FJZFI7SQIOZ4Hb1gSA8uF29K7hdferMwC75JDe0VGHlnpaQOSlnmfPC9f+Wd7homjIvMKlamvYIIYSIfhKECzGOGis6wJ89kZYdh1ZbBYCy2YgtKADA4/WxuyawWx5UGWXIoczJ3KQnnJHywp0rTHnhrkD1lO1ZhYFJkhcuhBBiEpAgXIhx1FAZyAdPT/IY49jp01H+4Lq0sYtetxeA7CQHU5IcgScYWp7wBMkHH1RgamFfe7AN94A36H7nkiVoVv3nn9biJrXTnxduN3UwkwopQgghJgEJwoUYR42mIDzZF9jpNXfK/LTK3KTHlIoC+k74CRyEJ6Y5SM3RSxV6Pb6QUoWWuDhiFy82rksq/EF4X0NgUvV28AUH70IIIUS0kSBciHHUaOqUmdhSZoyDK6MM06RH0/C1uE7IyihmQVVSwrSwTzlzpTEezAsv7aygJXGKfjHQCQ37IrpGIYQQ4nhJEC7EOOnv9dDe2AuAxaKwV3xq3Dd8u3rTTnhPM7W+Hnr9bdlT7amkxwXSN04U+SXBeeEhpQqD8sIV+O/fnjMnMKnqH5FdpBBCCHGcJAgXYpw0mVJR0nLj8RwM7NY6/DvhfW4v+48EDmUunGo+lOmizLQLPj1legRXO3FyZ6RgNZUqbG/oDbrfUVKCz6mnrGR0ecnxF1HZGp8QmFSxZVzWKoQQQhwrCcKFGCdBhzKzbHjb9R1vS3w81txcAPYf6cTt1Xd2C9OdJDtNBw5byik3B+HJJ2YQHmOzkDcnUKpwaJUUZbUSt3SpcT2YF77Vbcofr5SdcCGEENFNgnAhxon5UGZKTGC32z57tlHre1eNqVOmuUkPQGs5LpvVuCxKLorQSieeuUpK2Hrh5rxwl/7f0u4amu3+3fCOamiriuQShRBCiOMiQbgQ48QchCd1BQJE+5xAZZTdQe3qk4KfYMhO+IkchOfPCxzOrD3YimdoqUJTXvj8ClCDeeG5xYFJshsuhBAiikU0CFdKXaCUOqCUKlVK/UeY++1KqWf993+olCr0356ulHpTKdWllPrVkMe85X/OHf6vE6NntzihDfR5aGswdcqs3m3c55gTOFC4uzYQhJdMDS1PWB57cgThSRlxpExxAuBx+6gtbQu63z5rFt4UPVBP7PNRWK/f/lGC6TWrlLxwIYQQ0StiQbhSKgb4NfAFYB5wjVJq3pBpXwdaNU2bCfwceMB/ex/wn8C/DfP012qattj/1TDMHCGiRlNVZ6BTZo4Tz8H9xn12fxDe7/FysD6wWz4/NzgIb28tpyVGP7Bot8SSE58T4VVPrHxzqcIhKSlKKRJPX25cl7j89cJ9gddPdsKFEEJEs0juhJ8GlGqaVqZp2gDwDHDpkDmXAuv94z8B5yullKZp3ZqmvYcejAsx6TVWdhnjzLx4+stCa4QfMB3KLEh3khxnOpQ50EP5QCAQLUgqwKJO7Gwycwv7yjAt7JPPMOeF66/b4Z4jNMf4X7eGvdDbGvI4IYQQIhpE8l/xqYD5ZFS1/7awczRN8wDtwGgKHz/uT0X5TzV4ok2IKNZQGTiImeocALcbANvUqcQkJgKwuyYwJyQVpa0iOB/8BC1PaDZ1VgoxNv1XVOuRHjqag0sVOlecboyLqyDG/wZmW85gzXUNqraOy1qFEEKIzyqSQXi44Fg7hjlDXatp2gLgLP/X9WG/uVL/opTappTa1tjYOOJihYgkc6fMpL46Y2w35YObK6OUDElFoeXkqYwyyBobw9RZgQoxVXuDU1Ji86bizdZLOzo8GrNr9Nu3Jpnex0teuBBCiCgVySC8Gphmus4Daoebo5SyAslAaD0yE03Tavz/7QT+iJ72Em7eI5qmLdU0bWlmZuYx/QBCjAV3v5fWev+hTAXOenM+uKkyirk8YbhDmead8KQTPwiHoSkpYUoVmlJSSlw+ALZqPYEJkhcuhBAiSkUyCN8KzFJKFSmlYoF/AjYOmbMRuNE/vgrYrA3tUW2ilLIqpTL8YxvwRWD3cPOFiAbmQ5mpOfF4Dh0w7nPM1oPwAY+PA0cCu+UlI5QnLEwujNh6o4n5cGbV/ha8Xl/Q/UlnBFJSBuuFl/U10mTx/2qr2Q6e/kgvUwghhPjMIhaE+3O8vwX8DdgHPKdp2h6l1I+UUpf4p/0eSFdKlQJ3AEYZQ6WUC/hv4CtKqWp/ZRU78Del1KfADqAGeDRSP4MQY8HcKTNzWiL9BwJB+GA6ysH6Tgb8AWZeahwpztig53C3lFFtSkcpTCqM4IqjR8oUJ4lpDgDcfV7qy9qD7jfXC59Zp2Ef8OeFZ+brN3r7oXbH+CxWCCGE+AysI085dpqmvQK8MuS2u03jPuDqYR5bOMzTnjpW6xNiPJib9KRnxuBp0KtqKrud2Hw9WDxqKgpQ1V6OJ1E/QpHtSMdpc0ZyyVFDKUX+/DT2vKtnslXsaSF3VqClvTUtDW/RTGLKS7H6YF6lxiczFVtTsrig3qVPqtwC+cvDPLsQQggxcU7sGmdCRAFzEJ7sC+Q122fORFn198FHbdLj8+LqDZTDL0o+8SujmI1UqjDtLFNeeIW+E75VDQQmyOFMIYQQUUiCcCEiyD3gpbWuW79QEN982LgvuDLKUcoTdtRQbg0UEipKncXJJG9OKhaL/vM3VXXR3R6c4514eiAlZTAvvLy/hcYY/6+3yn+ALziXXAghhJhoEoQLEUHN1V0MHjVOneLEezhQGcXhr4zi9vrYVxcIwkPSUYYcyjwZyhOaxcZZyZ4ReE2q9gVXSXEuW4bmP4hZ2KCR2OPPC0/yV0Xqa4OmAwghhBDRRIJwISLInIqSmZ9I/4GDxvXgTnhpQxcDHn2ndmpKHGnxwYcyh5YnPFkqo5gdrYV9TEICWvE849pISUnLCUySlBQhhBBRRoJwISLIXBklIy+e/kOHjGu7vzyhuUnP/NwhpQkBrbnspKwRbmbOC6/a24LPF1zJNOOsM4xxib+F/dYYUwqK1AsXQggRZSQIFyKCzJ0yU+09aH19AFgzM7Gm6bu7I1VGaW49RKc/v9lpiSXLmRXJJUeljLwEnEn6JwR93e6g1xUgYWXgcOZgXrjL3UZDTIx+ITvhQgghoowE4UJEiMftpWXwUCaQ0FFljM2HMs1BeEleaBDuancZ46L4XJRSIXNOdEop8ueZUlL2BldJiTtlMd5YOwDZbRoZ7f688PhEfUJbJbTXjM9ihRBCiFGQIFyICGmu7kbzp00kZ8WhlZub9OipKB6vj72mQ5kluUOCcE2j3FyeMHVmBFcc3Y5WqtASG0vMwsXG9YLBlJS03MCkKklJEUIIET0kCBciQhorA8F1Vn4ifaZDmYPt6g83dtPn1nOXs5McZCbag5+kt5Vy5TEui9KKI7ji6DZtbhr4PwSoL++gr9sddH/m2WHywm2mTw0kL1wIIUQUkSBciAgJroySFLZdfVAqSph88KHlCQtPsvKEZo4EG1MK9YOrmhZaqjD+9NON8fxKDTSNCk8nRyQvXAghRBSSIFyICDFXRknPsuKurtYvrFZip+tdL3eNcChzaHnCk61G+FBBeeG7g1NSHPPm4nXGA5DWBbn+GP3DuDh9UL8H+toRQgghooEE4UJEgNfto6U2cCgzsbfOGNuLirDE6pU+gnfCQ8sT9jUdotaq7+RagPyk/AiteHIoKMkwxhV7mo2cewAVE4Nj6TLjejAl5R9p2foNmg+qPhqfhQohhBAjkCBciAhoru3C59WDwKTMOKgw1Qf3p6J4fVrQocxwO+GVLfvR/NVQptqSscfYQ+acTLIKEnEk6J8M9Ha6aawKLlWYdmagVOH8Sn8QblMYoXr5O+OxTCGEEGJEEoQLEQHmfHD9UGZoZZTypi56Brz6nEQ7WUmOkOcpN5cnTJgaodVOHsqigrpnVgxJSXGuWG6M51eA0jSafP2U2az6ja53x2WdQgghxEgkCBciAhoqhm9X7/DvhO8a6VAmUN7XaIyLUmeP9TInpYKSQKnCoUG4fdYsvMkpACT1auT7qzv+YzAvvG6n5IULIYSIChKECxEBDRWBNJPM/ET6DwaC8EBlFFN98HBBuLuXcq3PuCzMLInASief/LnpDPYrqnd10Ns1YNynlCJhxQrjuqTCn5KS4u8yqvmgQqqkCCGEmHgShAsxxjxuLy01gUOZqbFd+Lq6AIhJTsaapQeEI1dGqQiujHISN+oxcyTYmFLkP8SqQdXe4FKFyaeHBuFbrRpGtXVJSRFCCBEFJAgXYow1V3fjM3fKrDhs3GefMwelFD6fxt5a8054aGUUraUM12AuM1Ke0OxoKSnxprzwuZVg8Wl0ax522/WKNHI4UwghRDSQIFyIMWZORckqSKL/YGiTHldzN139+t5sRkIs2WEOZdY37KbXov8VTVZWUu2pkVz2pBLUwn5vi/GmB8BWUIAvQ/+0wTmgUXREv/0fcU59cGQX9ATvngshhBDjTYJwIcZYcBAeXBnF4a+MYk5FmZ+bjFKm9up+5S37jHGRPS3snJNV5rRE4pL0ne2+LnfQa66UInllmLzw5MHAXYOKD8ZtrUIIIUQ4EoQLMcbMlVGyCpKCKqPYZ/uD8OpAEL4wb5jKKB2VxrgwIW+slzmpKYui4CilChNMLewHm/bstHjoGXwjI3nhQgghJpgE4UKMIXe/l9Y6/VCmUpCeZWPA5WLwBvtM/XDlqMoT9jcZ46K0OZFZ8CRm7p45tIV9/PLTjHFxNVg9Gh40Pnb4mx2VSxAuhBBiYkkQLsQYaqzqRPOnJ6fmxOOrLAefD4DY/HwsTic+n8Ye06HMsDvhPi/l3l7jsmjK4oiuezKaNjcVZdF3thsqOunpCJQqtOXmovKmAWD3aMyq1W838sIb9kB3E0IIIcREkSBciDHUWDGkU+b+QF63fe5cAMpHcSiTjhpcthjjsih9XoRWPHnZnTaypweqylTuDd4NTzKVKpzvzwv/MCklMMH1XmQXKIQQQhyFBOFCjKGgJj0FSfTv229cO4qLAdg9JBUl3IHL7sb91Fv18oRWDaYmSsv6cMylCkNSUkylCgcPZ+5XHlr8FWckCBdCCDGRJAgXYgwFH8pMpG+/KQifqwfhQYcyh8kHd9V/YozzLXHYLLaw8052QUH43hZ8Xp9xHb88EITPqtGIdeuB+Edx/k8e5HCmEEKICSRBuBBjpL/XQ1t9DwAWiyI910m/KQi3F+vpKJ+O5lBmS6CsYaEjPewcAelTE4hP1ksV9vd4qC8PfBJhzcggZvoMAGw+mFPtL1U4mBfeuB+6GsZ3wUIIIYSfBOFCjJHGysAueNrUeLT6Wnw9elAek5aGNSszpFPmgmHKE7o6q4xxUeK0CK148lNKBXfP3DMkL3ylqVThYL3whMTABNkNF0IIMUEkCBdijAQ16clPpG9IPrhSasihTHv4Q5lAeX8gmCyU8oRHlT/KFvYlLj33vkZ5qbL6D71KqUIhhBATRIJwIcZIgyuwE55ZkDSkMkpoPviCqUnhu2BqGi5fn3FZlL0kAqs9cUwrTsPiL1XYVNVFd1u/cZ9z2TI0/2s8/YiPuD5/lRTJCxdCCDHBRhWEK6VeUEpdpJSSoF2IYTRWBnbCpxQOrYyi54Obm/QsGCYf3NfTTEVMIDgvnCJB+NHExlnJmRV4Lc0pKTHJyUZpyBgN5lYN5oXH6xOaS6GjbvwWK4QQQviNNqj+X+CfgUNKqbVKqeIIrkmISaevy01Hk757bbEq0nLjw1dGMQfheSmEU1e7jX5/Gb00TZHsCB+si4CC+YHumRW7hrSwXxGoF75gsF6404lRR0V2w4UQQkyAUQXhmqa9oWnatcASwAW8rpT6QCn1VaWU1E4TJ70G0y54xtQEtI42PPX1ACi7ndjCQr1T5ih2wsvrdxjjQoszQis+sRQuNJcqbMbj9hrX5rzw+f688DblY1+s/1dX+Tvjs0ghhBDCZNTpJUqpdOArwE3AJ8DD6EH56xFZmRCTiDkfPKswKbg04Zw5KKuVsqZuugf04DAjwc6UJHvY53K1HjTGRY6MsHNEsNTseJKz4gDwDPioOdBm3Oc89VSI0RsfFTb6SOzRd8Pfj9PnS9MeIYQQE2G0OeEvAu8CTuBiTdMu0TTtWU3Tvg0kRHKBQkwGQZVRCkIro0Bwp8yFeeE7ZQKUd1UbYylPOHpFCwNvWMo/bTLGlvh44hYtNK4HSxW+F+/PC28th/bAay6EEEKMh9HuhD+mado8TdPu1zStDkApZQfQNG1pxFYnxCRhrhGeVZAUNh/80+qRm/QAuPpbjHFRuhy/GK2iRYEg3PVpE5qmGdfxprzw+S79vzvtNtr9VVUoe2scViiEEEIEjDYI/3GY27aM5UKEmKy62/vpatXL4lltFlKznfTt22vcbw+zEz5cPjhAuak8YWH2qWO93BNW9vRk7E497aS7rZ+mqi7jPqcpL3yBS/+15wP+4fCXKiz9+7itUwghhIARgnClVLZS6lQgTil1ilJqif/rHPTUFCFOeo0Vpvrg+YngHmCgrFy/QSkcs2fj9WnsqQ1ORwmnq6eRRn95QpumkZsjQfhoWWIsFCwIHNAs39lojOMWL0b5A+6cNg/p7f6UFKc/L/zwZvAFDnMKIYQQkTbSTvga4KdAHvDfwM/8X3cA34vs0oSYHMz54JkFifQfOgQ+vQBebEEBlvh4ypu6jEOZmYl2pgzTKdNV/aExzvcprLa4CK78xFO0MNMYB+WFx8biXBKotz6YF/6+Mx4NoK8Naj8Zr2UKIYQQRw/CNU1br2naucBXNE071/R1iaZpL47TGoWIag1D88H3hemUOdpUlIadxrgoRj5s+qzy56VhiQl0z+xsCaT2OE8P5IWX+FNSGmMUBwdLFZa+MX4LFUIIcdIbKR3lOv+wUCl1x9CvcVifEFFN0zQaXMGVUczlCY1OmdWBOUcNwlsPGeNCR+aw80R4sXFWps4ONEGq2BXYDTcfzixxKfAf3HxU+36wAAAgAElEQVRvsIW9BOFCCCHG0UjpKP4aXiQAiWG+hDipdbX209vpBsDmiCElyxlcntDYCQ/UrT5aEO7qqjHGRUmFY7zak0PhMCkpjnnzsCTqv7bSu93k+ovQvOf0f+JQsx16ApVphBBCiEiyHu1OTdN+5//vD8dnOUJMLuZDmVn5iYBG34EDxm324mL/oUzTTvgwhzIBygdajXFh+tyxXexJonBhOu8+q4+rD7Qy0Och1mFFxcTgPO00uv6uV0IpcWnUpit22O10KUWC5oOyN6HkyglcvRBCiJPFaJv1PKiUSlJK2ZRSf1dKNZlSVYQ4aQUfykzCXVmJ1tMDQEx6OtbMTMqbuujxH8rMOsqhTK/PS6XWb1wXZi8JO08cXVJ6HOlT9R5iPo9G1b7A7nZQSkqZ3rHUo+DDOClVKIQQYnyNtk74ak3TOoAvAtXAbODOiK1KiEmifkg+eFCTnuJilFJBTXqOlopS21nNgL93TLrHS9KUkrFf8EkiqHHPTnNeeKBe+PwqN8qfF/7uYAv70jeMXHEhhBAikkYbhPvLB3Ah8LSmaZI4KU56Pp8WFIRnT08eJh98lJ0y67Ya4yKfArscuzhWhaYW9q7dzfh8emAdO3MmMRn6fYn9Hgrr9Tnvxzv1UoVd9VC/e5xXK4QQ4mQ02iD8L0qp/cBS4O9KqUygb4THCHFCa63rxt2np5k4k2NJSLXTt99UntBfGcXcKXO4Jj0A5fU7jHGhTQLw45GVn4gzKRaAvi439WX6n4FSivjlpt3w8hgAjsRYOGyTUoVCCCHGz6iCcE3T/gM4HViqaZob6AYujeTChIh2R8oCwXV2UTJKKfqH7IR7fRq7a0ZXntDVVmqMi+Kyx3i1JxdlUUG74eYqKfGnh+aFA7wveeFCCCHG0Wh3wgHmAl9WSt0AXAWsjsyShJgc6ssDwfWUoiQ8zc14GhoAUA4HsYWFlDV20esOHMrMGuZQJkB5d50xLkyZEaFVnzyKzCkppiDcaTqcOa+2hxivPy98sIV95RboD1S9EUIIISJhtNVRnkRvX38msMz/tTSC6xIi6h0pH5IPbjqUaZ89GxUTM+pDmQAud2BuUdaiMVzpySmvOBWrTf8V13qkh7Z6vWpNbF4etrw8ABweLzNr9fkfOxz0KAU+D5S/MyFrFkIIcfIY7U74UuAMTdNu1TTt2/6v70RyYUJEs/4eN6113YCe+pAZ0ilTP5S5szrQpGfRtBSG0znQSRP6jnmsTyM399RILPukYo2NIW9umnFdHrQbbsoLL9V7krkVfOSQ7plCCCHGx2iD8N2AJKkK4WeuipKRl4AtNia4Mso8/VDmjqrRBeGuloPGON/jJiZN0lHGgrlUYfnORmMcv+J0Y1ziCvwafM9pCsKlVKEQQogIOmrHTJMMYK9S6iPA6CaiadolEVmVEFHOnA+eXZQEEFQZxVFcTJ/by766wLxFR6uMUrfNGBcRC7bhc8fF6BUuyEApPZ6uO9xOT8cAzqRY4pefZsyZ09CBfUDRH6t4z+lEa25FtVVCcylkzJrA1QshhDiRjTYIvzeSixBisjFXRpkyPRlfXx8DZeX6DUphnz2bHXUduP2H/ooy4klxxg77fK6mPca4MDY1Mos+CTmTYsmZmULtoTbQoGxHIyVnT8WamYl91kz6D5Vi8/mYXWln10wvNdYYym1Wprs9+m64BOFCCCEiZLQlCt8GXIDNP94KfBzBdQkRtTSfFlIZpf/gQfD5AIgtKMDidLLTlIqy+CipKADl7eXGuCgxb4xXfHKbfkqmMS7bEUhJcZpSUuaXJhnjt5ym7plCCCFEhIy2Oso3gD8Bv/PfNBXYEKlFCRHN2hp66O/xAOBIsJGcGUffXlMqSrh88KOkogC4ehuMcVHqnLFc7klv+uJAEF6zv5W+bjcQ3MJ+UYXHGL/pdOoD13vg7h2fRQohhDjpjPZg5r8CZwAdAJqmHQKyIrUoIaLZkbLgfHClVHCnzLl6EB60E54/fIqJ1+elwttjXBdmS2WUsZSY5iCrUN/p9vk0XLv0KinO006DGL1j5oyWVpK69Pk77XaaLBbw9IHr/QlZsxBCiBPfaIPwfk3TBgYvlFJWQEoHiJNSfbkpH7xI3+Hu22c+lDmX1u4BXM3+utQxFubmDN+GvrarFrfSx5keDwlT5kdg1Se3GeaUlE/0lJSYxETiTlls3F5yIB0ATcE7gykpB18dv0UKIYQ4qYw2CH9bKfU9IE4p9XngeeAvkVuWENEruElPEprXS/+BQIlBx7y5QfXB5+YmYbfGDPt85c17jXGhxwsp+WO8YmFOSanc28JAn55+knDmmcbtiw7bjPGbg0H4/k1SqlAIIUREjDYI/w+gEdgF3Ay8AvwgUosSIloN9HloqfHnLSjIKkxioLwcra8PAGtWFtb09KB88MUj5IOXHwmccS6yOMEyfMAujk3KFCfpU/WmPF63j8o9LQDEnxEIwk+pbkH5A+4tzji9e2ZnLdR+Mv4LFkIIccIbbXUUH/pBzFs1TbtK07RHNU22h8TJp6Gi09gYTc+NJ9ZhDW7SEzYf/OiVUVwtgccXxmUeZaY4Hubd8LJP9IOwjvnziEnV8/VT+nuYVql32OxXii1x/lrt+18e34UKIYQ4KRw1CFe6e5VSTcB+4IBSqlEpdff4LE+I6BKUDz49NB/cPrcYTdOGVEYZoTxhZ7UxLkoqHKOViqFmLAmcJXftasbj9qIsFuLPOMO4feGhwKcWm80pKUIIIcQYG2kn/P9Dr4qyTNO0dE3T0oDlwBlKqdsjvjohoszQyigAffsCOd2OufOoaumltUcvg5fksFKUEX/U53QNtBrjwsySsVyuMEnLjSc5Uw+s3f1eqvfpr3v8mYEgfLErUJLwHacTD0DjfmgqHc+lCiGEOAmMFITfAFyjaZrRSUTTtDLgOv99Qpw0NE0LqYyiaRr9Q2qEf1IVCKoXTUtBKTXsc3YMdNCs6QG73ecjZ8riYeeK46OUCmrcc9jfuCfBtBM+r6kOe5deyaYtxsIOh12/44DshgshhBhbIwXhNk3TmobeqGlaI2ALM1+IE1ZHUx+9nf6A2WkldYoTz5EjeNv1wNySkIAtL4+dVYFA/ZQROmW62gKdMvM9HmIyZkdg5WLQjFMCKSnlOxvxen16C3t/Lr9V8zH34BRjzpuSkiKEECJCRgrCB47xPiFOOEfKTLvghUkoixpSH7wYpRQ7huyEH0154y5jXOTRIDF7DFcshsoqSCQhVd/d7u/2UHtIz91PMKWkLCoLfHLxptOpN0So+gg668dzqUIIIU5wIwXhi5RSHWG+OoEF47FAIaJFvak++JTBfHBTKop93lzcXh+7awPzRgrCyxp2GuMiWxIcJXVFHD9lURQtDm3cYy5VuKSmHs0TC0CVzcphmw3Q4MAr47pWIYQQJ7ajBuGapsVompYU5itR0zRJRxEnFfNOeHaYyiiOufPYX9fJgMcHQF5qHBkJ9qM+Z1lb4MDf9PjcsVyuGEZQ98wdjWg+DeeSU1BOJwA5PS1k1hYYcyQlRQghRCSMtlmPECc194CX5uou4zqrUN8J798XfChzh6lT5ki74ABl3UeM8YzUWWOxVDGCnJkpxCXqewg97QMcKe9Axcby/7N33+FxVFfjx7+zRVr1Lqt3WXLvFTBgG2PTQ4BACC3kTYCENJK8pEDyI8mbShJCNTVAANPBYGMbMOACxrbcZcu2JMu2umT1um1+f8x6dlfNKpZQOZ/nyZO5s3dm7vKs5KO7554bMG+e3mfqUXdFGz0IP/YZtDUghBBCnA0ShAvRC1UnGnE6tV16wmL8sQSYcdTVYSstBUAxm/FNS2PPCXcQfqZFme2OdoodWmCvqCrJUhllSBgMCqlTI/V2gWvjHs9ShTNONKCq2q/H/RZfKo1GcFgh/6OhHawQQohRS4JwIXrBa1Hm6VSUPPdOl76ZmShmM3v7MBNeVF+E03Ucb7djiZpw9gYsepTmsXFP4a4qVFUl8Fx3Xvj06iKUhhS9/amekiK7ZwohhDg7JAgXohc8F2W6N+nxCMInTqChzUZBlTazbTQoTI4LoSfH6gr043SbHcLTzuaQRQ8SssLw9TcB0FjTRmVRIz7JyZiTkgDwtVsZX+AO1PXdM49sAHv7kI9XCCHE6CNBuBBnoKoqZQXem/RAx50yJ7C/uB5Vy1gha1wQfj7GHu9bWLlPP05zGsE//CyOWvTEaDKQOs2dkpK/S0tJ8SpVeMyhH2/386NZUcDaCEWbh26gQgghRi0JwoU4g/qqVlobtLL4Pn4mIuK0RXteizInTGDPSXcqyvSkMy/KLDjlDuJTLZE99BSDId0jJaUgpxJVVQnwSEmZX30SR1ssADYFNkmVFCGEEGeRBOFCnEFZvnsWPDY9BMWg4Gxro73QtdulomDJyvIOwhN6URml8YR+nB6cevYGLHolcUJ4p5QU/7nzwKSdS6wpJqgiQ++/LkArYUjeWnA6O91PCCGE6AsJwoU4g7J8d3Adm6GlorQfPQoOLV3BJzkZxd+/TzPhdqed4+3unTVTZVHmkDOaDF5VUvJ3VWIMDMB/5kz93JR8P/14i78fTYoCTeVQkjOkYxVCCDH6SBAuxBl45oPHZmjBtedOmZaJEyirb6OqUVuwF+BjJD0qsMd7FjcWY3PVRom22wmKmni2hy16IX1Wzykp55+q1FNSrIrCJwGuoPzQu0M6TiGEEKOPBOFC9KClwUpdRQsABpNCdHIQ4L0o0zfbOx98akIoRkPP288X1hfqx2k2G0Rk9NBbDJZOKSnHGwk8zx2ETys9hFo3RW+vC3Bt4nPgLUlJEUIIMSAShAvRg7ICd3A9LjkYk1mreNLWYVHmruPu1JJe7ZRZe1Q/TrNKecKvSqeUlJxKfLOzMcVqs9/m1mayCt2lJj/3s1BvUKChBE5uG/LxCiGEGD0kCBeiB16LMl2pKKrDQfvhI/p5y8QJ7PQIwmcnh53xvoVVB/TjNGMA+AT00FsMpo4pKQBBixfr51acKsfRmgCAXVHY6O9aoLn/jaEbpBBCiFFHgnAhetDVokxrURFqWxsApuho7MGh5Ja6g/VZvQnC6/L147SA2LM1XNEPiRPC8fHzTkkJWuIOwueUHMBW75mS4grCD74DDtuQjlUIIcToMahBuKIoyxVFOawoSr6iKPd28bqvoiivul7/UlGUFNf5CEVRPlEUpUlRlEc6XDNLUZT9rmv+rShKz8m3QvSTtc1O1UltB0wUiDm9Xb3HokzfCdnsK67H5tB26UmPCiAswKfH+zpVJ4Ut5Xo7LWz8WR656AujyUCax8Y9BTmV+M+ZgyFIy//3q60i6cQ4/fUv/SzUGAzQcgoKPxvy8QohhBgdBi0IVxTFCDwKrAAmAjcoitKxBMTtQK2qqhnAP4G/uM63AfcBP+vi1o8D3wUyXf9bfvZHLwRUFDWgOrXgOiIuAEuAGeicD77zeI3e7s0seEVzBa2qHYAQh4PwSClP+FXzTEnJz6kEk4nA88/Xz11RX46jJRkAh6Lw0enZ8AOSkiKEEKJ/BnMmfC6Qr6pqoaqqVmAVcGWHPlcCz7uO3wCWKIqiqKrarKrqFrRgXKcoSiwQrKrqF6qqqsALwFWD+B7EGFZ21CMVJd292LI9zzMIn+i1KHN28pm3nvesjJJus6FEZg50qGKAukxJWbpEf31BxUFsDVP19vrTQfih98HWOqRjFUIIMToMZhAeD5z0aBe7znXZR1VVO1APRJzhnsVnuCcAiqJ8V1GUnYqi7Kyqqurj0IXoUB88U0tFUVW1UzpKjkcQPrMXM+EFdQX6carVDhHpZ2O4YgCMJgOpHVJSAs49D8WsffsRdLKQ8PJEVFXLfttpsVBtNIC1EY5u+ErGLIQQYmQbzCC8q1xttR99+tVfVdUnVVWdrarq7KioqB5uKURnDoeT8mMNevv0TLi9vBxHnTZDbggM5IRPKLUt2uK8MH8z6VFnrnJSWOuurJJmt0No8tkcuuinDM+UlF2VGAL88V8wXz93dXMljpYUAJwKbJAqKUIIIQZgMIPwYiDRo50AlHbXR1EUExAC1NC9Ytd9erqnEANWfbIJe7u2LX1guC9B4RagQz54dja7T3pXRenNOuHCavdGP+m+UWDqeSGnGBpeKSmnXCkpi90pKYsqDmJvmKa31we6gvAj66GtASGEEKIvBjMI3wFkKoqSqiiKD3A9sLpDn9XALa7ja4CNrlzvLqmqWgY0Kooy31UV5WZA9o8WZ51nacK4DHc+eNuBXP3YMmmi16LM3qSiqKpKYZM7SystXHbKHC66SkkJvPBCvR2an4tfTZqekrLLYqHcaARHO+StGfLxCiGEGNkGLQh35Xj/AFgPHAJeU1U1V1GUBxRFucLV7RkgQlGUfOCngF7GUFGUIuAfwK2KohR7VFa5E3gayAcKgA8G6z2IscsrH9wzCD/onsW2TJrklQ/em0WZNW011Du09cb+Ticx0dPOcIUYShkzvVNSTNFRWKa5FmQ6HFxvrcXR7M7h3yBVUoQQQvSTaTBvrqrqWmBth3P3exy3Add2c21KN+d3ApPP3iiF8Kaqapeb9AC05bpnwq2pmRR8rlU6MRsVpia4+3XHszJKqs2GEi3lCYeT0ykp1la7lpJSpKWktO3dB8DiU4d4LmYqpkBts6X1Af7c3NAIBZ9AczUERPZ0eyGEEEInO2YK0UF9ZSutjdpiS19/E+Ex2mJLW2UldlelHcXPj32KO+ieFBeCxWw8470L69xBeJrVDhKEDytGs/fGPfk5FV6lCkMP5ODbOAFV1X517rP4UmIygurQdtAUQgghekmCcCE6KPWcBU8PQTFoOcBeqSjZ2ewsdi/Gm92LfHCAwpo8/TjN7oBwKU843GTMdu+OmZ9TiTk1FZ9krYKN2trKrT4tOJrdtd3XBrgq4ux/c0jHKYQQYmSTIFyIDrxTUXrIBy9y54P3ZqdMgIJqdzpLmkUqowxHCdlh+PprmXpNte1UFjUS6DEbfmH1IWz10/X2u0GBWp3UE59DfTFCCCFEb0gQLkQHZfndLMrMdQfhpuxs9ha7g/VZKb0Lwo81elRGCZOdMocjo8lA2gz33gL5OysJWuIOwoN2fUGocxqqwxeA42YTe31df0wdkNlwIYQQvSNBuBAemuvbqa/StiE3mgxEJwXpr3nOhBdHJdNudwKQFO5PdJDljPdutDZSaW8CwKyqJIyTyijDVceNeyxTpmIM16rfOE6d4tYQGzaPmuHvBAVqB7tfgu6rrAohhBA6CcKF8OA5Cz4uNRijWfsRsdfUYC8rA0Dx9WWn6l6U2dtUFM/KKMk2G6boiT30Fl+lhKwwLAHalvXNde2UH28icLG7ZviF1XnY6mfp7XUB/rQqClQfhpPbh3y8QgghRh4JwoXwUFbgvSjzNM9UFN/sLHI8FmX2Ogj3qoxiAwnChy2D0UDazA4pKR67Z/pu20Rq4ASc7VollWaDgY/8/bQXd70wpGMVQggxMkkQLoQHr3zwTM98cI+dMidOYqfnJj29zAcvPOWxXb1DhfDUgQxVDDLPlJSCXZX4zZ+PwV/bnMd2/Dg3R1m9ZsPfPZ2SkvuWbGMvhBDijCQIF8KlvdVO9clGABQFYtI8ZsI98sFbUzKoamwHIMjXRGZ0EL1RWOVRGcUvCgxnrisuvjrxmaH4BWkpKS0NViqK27yqpJx7Yje2+pn6NvbbLRZKTUawtcgCTSGEEGckQbgQLmX5dfqausjEIHz93BvKes6E5wXH6cczksMwuuqIn0lh4wn9ODUkY4CjFYPNYDSQPsNjgebOSoJXrNDb6sYPmZeYotcMVxVYHeiqGS4pKUIIIc5AgnAhXEqPuvPB4zxSURx1ddhKSgBQzGa2OTwWZSb1LhWlzd5GiU1LdTGoKilSGWVEyJjtkZKyuxL/+QsxBAcDYCst5cbgJmx1Hikpga6a4aW7oHz/EI9WCCHESCJBuBAu3QXhnqkovllZbC9u1Nu9zQcvaijidOG6BLsd35ipAxusGBKxGaH4B2s1wFsbbZQebybooqX669Pzd2Bsm4zq0EpUFptN5Fi0+uHsenHIxyuEEGLkkCBcCMDaZqfyuCu4VroPwg1Z2Ryu0PoZFJieGEpvFNQV6MdpVhtEZZ+FUYvBZjAopHvWDM+pJPiSS/R224cbuCg7zqtm+LunU1L2rQJb65CNVQghxMgiQbgQQHlhPapTm6uOiAvUa0QDtHrkg1eMS9HzxifEBhPga6I3CqrcqQmpTiA0eeCDFkPCs0pK4a4qLLPn6Bv32Csrud5Si61utt5nfWAgLYoCbfVw6P0hH68QQoiRQYJwIYCSIx6pKOO9Z7c9a4Tv84/Rj2f3sj44wNGqffpxpiUaDPKjN1LEpoUQEKqlmLQ12ygtaCTo4mX662n7thJuTsfRrgXrrQp8GKCVMmTX80M+XiGEECODRAJCAKUeQXi856LMhgZsJ1xVTUwmNra7yxHOSQ3v9f2PNhzXj8eHSmWUkUQxKGTM9K6SEuKRktL04YdcNz2uwwJNV0pK0WY45U5FEkIIIU6TIFyMeTarg8rj7s1VvPPBD+nHPhkZ7Cxr1ttzexmEN9uaKbFp9zeqKqkxMwc6ZDHEPKukFO6pwmfaDEzR2jlHTQ1XG8qxN8xAVbVfqTv8LJw0uerA7/7vkI9XCCHE8CdBuBjzygvrcTq0RO+w2AD8gnz01zwXZTYlZ2C1OwFIiwwgOsjSq/sfrT2qH6fabPiMm3w2hi2G0LjUYALDtZSU9hY7xXl1BK9Yrr/uv2Uj85JScDSN18+9fXoHzT0vgcM+pOMVQggx/EkQLsa87lJRwHuTnsLQBP24t7Pg4B2EZ0pllBFJURTGzxmnt4/sqPDauKfxw4+4fkYstnr3As03goNpV4CmCji6YSiHK4QQYgSQIFyMeV71wTsuyvSYCd9mitKP56X1Pgg/UrlHP850GCAkoYfeYrjKnONelHtsbxXGrEmY47TdU50NDSyqL8DPNgWnTdvMqdagsOH0As2dzwz5eIUQQgxvEoSLMc1uc1BxrOt8cEdTM9aiIq1hNLK+NVB/bW5qRK+fcbTaPZs+PiAWlN5tcy+Gl4j4AMLjtAWXdquTov2nCL7EPRveumE9V89IwlY7Xz/3crBrIW/+R1CZN6TjFUIIMbxJEC7GtIrCBhyuPO/Qcf4EhPjqr7XnHeJ0UXBnUgp1Tm2hXUKYH/Ghfr26v6qqHG0q1tuZ4ZKKMlIpikJmx5QUzyopH33MN6ZGY6ubi+rU6scf8PVln69rjcG2x4Z0vEIIIYY3CcLFmFbSUyqKRz54ZUyKftyXfPCKlgoanO0ABDqdxI6b3s+RiuHAMy/8ZG4NzsR0fFJSAHC2tJBwZA+TY+Kwe+ygqc+G710FTVVDOVwhhBDDmAThYkwrPVqrH3dalOmRD34gIFY/ntfvRZlWlHET+jNMMUwER/oRkxYMgNOpUri72islpWHtWr4xJxFr7QL93PqAAKqNBnC0S264EEIInQThYsxy2JyUF3rmg3vvgOm5Xf1nqjvwnteXfPDaI/pxptUG0RP7M1QxjHgu0Dyyvdw7JeXTT7ksPQgfRxKOliQA7Aq8frpc4fanwNY2pOMVQggxPEkQLsasiuMNOGxaPnhwlB+BYe58cGdLC9bCYwCoisJ+Py0NITrIl+QI/14/40jlXv14vGqCwHE99BYjQcasaBSDtri2LL8ea3gCvtlarr/a3g6bPuHSKXFYaxfq17weEoINoKUa9r36FYxaCCHEcCNBuBizeqwPnncYnFqA3hqTQLtJC9DnpUWg9KG6ydEad0WMzMAkqYwyCvgH+5CY7f7W5OiOCkKuvFJv17/zLtfPTcTeMBmnXcsHrzIofHy6XOEXj+oLfoUQQoxdEoSLMcszH7zTosz9+/Tj4xFJ+nFfFmXanDYKWyr0dkakpKKMFplzO1RJufQSMGi/Tlt27GCaqYW0qBBstXP1fi+HaPXDqT4M+R8P6XiFEEIMPxKEizHJ4XBSVlCvt+M6zIS37nUH4V9a+rcos6i+CDvabHqs3U7wuKn9Ha4YZtKmRWE0a78+TxU30WD3J2ChO/2k4f01XD8nEVvdPFRV67fb18whH7PW4YtHhnzMQgghhhcJwsWYVHW8EbtVC5CDwi0ER3jX/W7d687lzgnUdrgMD/AhMzqQ3uq0XX20VEYZLXz8TKRMidTbnVJS3n2Xr82Ix6SGYG+Yop9/OVirrELhJ1B+YMjGK4QQYviRIFyMSSVHuk9FsVdXYyspAcBp9uFYsDYTPiclrG/54F6VUawShI8y4z1SUo7uqCBwyWIM/lret/XYMQKLjrJicqzXAs21QYHUutJWZPMeIYQY2yQIF2NSqccmPfEdgvDWfe5UlIqYFBwGbafMvpQmhA6VURQLBET20FuMNMmTIvDx03bGbKhuo6rcRtCyZfrr9e+u5paFKThbk3C0xgNgReWN0+UK970GjeVDPm4hhBDDgwThYsxxdsoH71AffI87eN4TlKAf92VRJsDROo90lNCMvg5TDHNGs4H0mVF6+8iOCkKuvEJvN6xZw4zYAKbEh3rNhr8YFk6LooDTptUNF0IIMSZJEC7GnMoTjdjaHAAEhvkSHGnxet0zH3xXgDaDGWQxMSE2uNfPaLQ2UmbVAn2TqpISN/cMV4iRyHMb+/ydFVhmzcEUo23m46itpXnLVm5ZmIK9fhpOm/aNS63i5DV9854nobW2032FEEKMfhKEizGn5LDHVvVZ3nneqsNB2/79ejsvLBmAOSnhGA19yQd3z4KnWW2Y42cNZMhimIobH4Z/iA8ArY02TubVEXL5Zfrr9atXc9nUWMID/LFWX6Cffy4sjFZFgfYGrW64EEKIMUeCcDHmFOe5g/CEbO9UlPb8ApwtLQA0B4VS7afVdu5zKkqNx6JMmw3iZvR3uJh8LQAAACAASURBVGIYMxgUsua6t7E/uLWUkCvcKSlNGzdibm3WyhXWz8Zp0z5PNQaPrey3PQ4tNUM6biGEEF89CcLFmOKweeeDx4/vkA++z52KcjgsWd/hsi/1wQGOlufox+PxgeD4/gxXjAATznHXkS/afwp7dBKWidrGTKrVSsO6dXxrfjJGxYz11AV63+fCwmlTFLA2wef/HuphCyGE+IpJEC7GlPJj9ThsWn3wkGg/gsK7zwff7VqU6e9jZHJ8SJ+ec+RUrn6cGZwi29WPYmExAcRmaJ8P1alyeFu51wLN+tWriQv1Y9nEcdjq5uC0aWsLqg0elVK+fBKaqoZ87EIIIb46EoSLMaXYIx88ISus0+ttez1nwrXt6mclh2E29v5HRVVV8lvK9HbmOMkHH+0mnRunHx/cUkrQJZeAUStt2bozB2txMTcvSAHVhPXU+XrfZ8PCaVcAWzN8/tAQj1oIIcRXSYJwMaaU5HkvyvTkaGqiPb8AAKeicCRUmwmfm9K3VJTy5nIaVTsAwQ4H4xIXnuEKMdKlzYzWa4bXV7VSWWMi4Nxz9NfrV69mflo4WeOCsNXNxWkLAqDKoPJm4OlKKU9DY8WQj10IIcRXQ4JwMWZY2+xUHGvQ2x3zwdv27wdVBaA4LJ52ky8ACzP6uElPTZ5+nGm1ocTP7O+QxQhh9jF67aDZcYFmw7urAbhlYQqoZq/Z8GciIrAC2Fth67+GaMRCCCG+ahKEizGjrKAep1MLsiPiA/AP9vF63TMffH+wNgse4GNkaoL3jppncrRkm348HjMEx/bQW4wWE89xp6QU7KrCZ8H5GFyz3Nbjx2nNyeGqGXEEW0zY6ubhtGuvVSoqb5/ODd/xDDSUdbq3EEKI0UeCcDFmeKaiJGR1TjFp3everv50ffB5aRF9ygcH7+3qMwMTeugpRpOopCCikrQ0E4fdydG9tQRfeqn+et2bb+HvY+IbcxI7zYY/HRGpzYY72mHLP4Z45EIIIb4KEoSLMcNzUWZ8h/rgqqp6zYTnhWtB+ML0vqWiABxtPK4fZ0ZN6fP1YuSa2GGBZsjVX9PbDevW4Whq4qb5KSgK2Grds+HlipN3Ts+G5/wH6k4O5bCFEEJ8BSQIF2NCW7ONqpONgFYtMC7TO8XEVlyMo0bbMKXZ7EdJYCQA52RE9uk5NoeNInuT3s5MWjSQYYsRJnPOOExm7dfqqZJmGoJT8M3MBEBtbaVh7VqSIvy5eGIMqD5YT7k/H49GRNKoKOCwwua/fyXjF0IIMXQkCBdjQunROtDSwYlKDsbXVcniNO9UlERUxUBEgA9Z44L69JzC2qPYXSXB4212AhLmD2jcYmTx9TORMStabx/6vIzQa76ut+vffAuAOy9IB8BWO9+9i6bi5LEwVz36XS9C1eEhGrUQQoivggThYkw4U31wr1QUVz74gvQIDIa+bbJz5ORm/ThTNULQuB56i9FogkdKytHtFfhdfCmYzYD2OWvPz2daYijnZESA6kN7xSV6/1dCgsk3m0F1wIb7hnzsQgghho4E4WJMKOlDEH56k56+pqIAHC3boR+Pt0T30FOMVrHpIYTF+ANga3dwrMBK0OLF+ut1b7wJwJ3nZwBgb5yKsyUNAAfwp4gw7Uubo+uh4JOhHLoQQoghJEG4GPWa69upKW0GwGBSiMnw3oLeabXSfuiQ3s4LdwXh6X0Pwg/V5evH4yMm9Ge4YoRTFIUJHuUKD20t9U5JWb0a1WrlnIwIpiaEAAqt5VeguH4db/ezsMHfT+u84TfgdAzl8IUQQgwRCcLFqFdyxD0LHpMagtnH6PV6+8GDqDab1jcgkkafABLD/UiK8O/Tc1RVJddao7cnJ57fQ28xmmXNi8Fg1FKZygsbaEuZhikmBgBHTQ2Nn36Koijceb6WG+5sj0Gtd++w+beIcFoUBSoOwJ6Xhv4NCCGEGHQShItRz6s+eHYXqSj7PBdl9n8W/ERdIY2Ktvoz1OEgLvXCPt9DjA7+wT6kTnN/hvZuLCbka1fp7bo3tZSUiyfFkBYVAEBj+WL8DNq3NBUmI0+HBmudN/4B2t0Vd4QQQowOEoSLUc+rPnhX+eB7uqgP3o988Nyij/TjSQ4jSmBUn+8hRo/pS5P04yNfVmBaernebt68BVtFBQaDwh2LtNlwnH7Yqlfoff4TEswJkwmaKmDrQ0M2biGEEENDgnAxqjVUt9JQ3QaAycfAuJTgTn26WpTZn016DpR8oR9P9pOqKGNdTFqIXo/e6VQ5mOvAf76rZKXTSf3b7wBw1Yx4YoItANRWTCXWkgWATVH4S4Trj8bPH4b6kqF9A0IIIQaVBOFiVPPMB4/LCMVo8v7I26ursZVowU27wcSxkFiyY4KIDPTt87Ny6wv040mRk/o5YjGazFjmng3P3VqK3+VX6+26t95CdTrxMRn4znmprrMGGksuRUHLJ9/k78dnfhawt8LG3w/l0IUQQgwyCcLFqHbGVBSPWfD80ATsBhML+5EP7nA6OGSr09uTki7o8z3E6JM8OYKIeC3n297uoMiYjSFI2wDKduIELTt3AnDD3CRC/bVa4mWV0cwMv1i/xx8iw6k3KLD3FSjdPcTvQAghxGCRIFyMWqqqnnFRZsuOnfrxIVc++DkZfU9FKaw5TKtrX59ou53oFKmMIrRyhTOWJevt/ZvLCbj0Cr1d71qgGeBr4pYFKfr5ksILCPHRFmmWm0z8PiJcqx2+/tegqkMxdCGEEINMgnAxatWWt9BcbwXA199EZGLnLehbdrg319kXmY7RoDA3NbzPz/JalKmawL/v9xCjU+bsaIIitJzvtmYbFZnuWe6Gdetx1GnfoNy6MAU/s1Y+82gZXBr3Q73f+sAA3gsMgONbYf8bQzh6IYQQg0WCcDFqnTzortkdPz6s0xb0joYG2lyb9DhQyI1IZVpCCEEWc5+fdaB0u348yS+2nyMWo5HBaGDGRe7c8AO5VswTtTUDans7dW+9DUBYgA/fPjdF77dmWyRXpX9Nb/8xIoyTJhNs+DW01Q/N4IUQQgwaCcLFqHUi95R+nDSp88x0S04OOJ0AFITG02L269dW9QC5DYX68eSoqf26hxi9shfGYgnU/rhrqmmncfEt+mu1r7yC6tB2xfze+emEuXLDi2tbiXdeT3Kwls7SYjBwb1QE9qYK+ORPQ/wOhBBCnG0ShItRyW51UHLUvVAycWIXQfh2dyrK/kitVnN/gnCbw8Zhe6PenpQsm/QIb2YfI9MWJ+jtQ9WRKCFa+ULbyZM0bd4MQLDFzA8WZ+r9Vn5azH1z/4BJMQGwz+LLk6EhsH0llO8fwncghBDibJMgXIxKJUfrcNi0We6wGH+CI/w69fHMB98fkYbFbGBGUmifn3Wk+gA2V6ZLvM1OaNI5PV8gxqTJ5ydg8tVyvmvLW2ldfpv+Wu3LL+vH35qfRHyo9nmtbbGxJdeP78/4vv76ytBg9viYYM3P9G9yhBBCjDwShItRyTsVpXO1E0djI20HDwLgROFARBpzUsLxNRn7/KzcY+5FmZNVM/j1PZAXo58lwMyk8+L0doHPZFC0v96aN23Gevw4AL4mIz+7eLze7+nNx7g06QZmjZsFgFNRuDcqkqbiL7WyhUIIIUYkCcLFqHQi170o84z54CFxNPsMIB+8dJt+PCkoqYeeYqybviQRg1ELvCtOttG+yL15T+3L7oD6ymnxTIjVdndttTl4eGMhfzr3TwSZtQo/JWYTD0SGo354P7TWIoQQYuSRIFyMOg3VrdRVtABgMhv0rcM9eeaD73Plg58/PqpfzzvQeFw/nhw3v1/3EGNDYJiF8fNi9PbhyCWort0x6956C2eL9rk1GBTuXZGt93t1x0laWoO4f8H9+rkPAgN4ymyFjX8YotELIYQ4myQIF6POCY/ShHHjwzCZO6eYeOWDR6YTG2IhO6ZzHfEzabU2UaC2AaCoKhPGX9mPEYuxZPaKFAwmLfCuPqVSPXEZAM7GRurfe1/vtygzkoXpWiqVw6ny9/WHWZ66nGvGX6P3eTg8lPW5L8tOmkIIMQJJEC5GnTOVJnQ0NdGWmwto+eC5EalcmB2Noiid+p7J4YIPcLiuS3FA4LjJ/Ry1GCtCovyYviRRbxckXILDoJUlrH35ZVTXjpiK4j0b/sGBcnadqOVX837FvJi5+vlfR4VzYM3d4HQM0TsQQghxNkgQLkYVh91JscdW9cldLMps9cgHLwyJo8nHn8VZ0f16Xu6xj/Xjyb6R+kI7IXoya3kKfkFa4N1iNXEibQUA7YcPa59Pl6kJoVw21b3505/X5mFSTDx4wT9IDtAWebYbDNxtqKF8y9+H8B0IIYQYKAnCxahSXlCPrV2bEQyOtBASfYbShJFp+JoM/V6UeeBUrn48KVJmwUXv+PiZmH9lut4+kbCUdp8QAGpeesmr78+WZWFy7fa6vaiGVTtOEuIbwiMXrSTY4ANAtcnI3Yefo6UyFyGEECODBOFiVDlx0CMVZWJElykmzR0WZS5Ij8DPp++lCXE6OWB1559PSr2o7/cQY1b2wlgiEgIBcGCkIO0KABo//AhbRYXeLyUygG+fm6q3/7jmECV1raSEpPDPxQ9j0rJXyPMxc+/a23BKWooQQowIEoSLUeX4GUoTdswHPxCRxuLs/qWiNJXtpsik/QgZVZXstGX9uo8YmwwGhXOvde+OWR4zn4agJLDbqXv1Na++P71oPGmRAQA0tdu59819qKrK3PiF/Gbit/V+nyitPLj2dj2vXAghxPAlQbgYNZrr2jlV3ASAwagQnxXWqU/rrl3g0GYKjwXH0uTjz4X9zAc/eORd/TjD4IfF3Dn1RYieJGSFkTrNnQp1NOMaVKD2tddwtrfr5y1mI3+7dqq+5GDz0WpW7TgJwNfn/oRbAjL0vi+cyuHRL/88JOMXQgjRfxKEi1HDszRhbEYIPhZTpz4dSxNmRgeSGO7fr+fllrnvNTk4tYeeQnRv4dcz9A186kPSqYyaiaO6mvq33/bqNys5nNvP6ZyWAvCTy19ksc2derXy8Ms8vuexIRi9EEKI/pIgXIwaHfPBu9K8fbt+vC8yvd+pKKiq1yY9E2WTHtFPodH+TF3sUbIw/SocBjOnnnwK1Wbz6vuzi7O6TEsx+gbytyUPc25Lq973sb2Ps3LvyqF5E0IIIfpMgnAxKjidKicPnikfvJm2A+588P2R/c8Hp6aQXKM773ZyquSDi/6bfYm7ZGGbJYLjScuwlZZ6bd4DPael+KSez78SL+ccj0D8kT2P8PT+p4fmTQghhOgTCcLFqFBZ1EB7ix0A/2AfIuIDO/Vp3e3OBy8KjsEQHMys5M55471Rm7+BErOW7mJGITM8q58jFwJ8/UzMvTxNbx9PupjGwEROrVyJ6vCudtJTWorvRQ/wrzYL81vdgfhDux7iuQPPDfI7EEII0VcShItRoeMumV2VJmzpUJpw0fgoTMb+/QjkHv9EP872jcRsNPfrPkKcNvHcOGLTtVrhqsHIwQk303aihIZ16zr17ZiW8r9v7MPhVME3CMvlD/Hvimrmtbbp/f+R8w/+c+A/Q/I+hBBC9I4E4WJUOOGVitJ1PniLRz74/oHkgwMHTh3UjydFTen3fYQ4zWBQWHzLBEw+2q/l5oA4ClMv5dQTK1FdO7ye1jEtZUt+NX9ae0hrZCzBb/qN/LuiitkegfiDOQ/y9x1/x6l630sIIcRXQ4JwMeK1NdmoKGoAtF3jE7M754M7m5tpPXBAb+dGpnH++Kj+PbDuBAdwBzeTEhf17z5CdBAa7c/Cq93lBk8kLqWywk7TJ5906jsrOZw7z3fvuvn0lmO8+EWR1lj+F/zD0ni0ooqZbe7P6vMHn+cXm35Bu6MdIYQQXy0JwsWIdzz3FLjWSEanBGMJ7Jwa0rJ7j1d98LSMeCICffv1PMexzezydV87fdysft1HiK5MXhRPQrZrrYJi4GD2TVQ8/nSXG/D8bFkWF08ap7d/uzqXT/IqwTcQrnkWf8XEE+VVXNjcovdZX7Se7334Perb6wf9vQghhOieBOFixDu2p0o/TpnSTWnCLVv0432R6SwZQCpKXuEGGl255NFGP5KDk/t9LyE6UgwKi2+egNlX+4y1+o8jty2D5i1bO/U1GBT+9Y0ZTEvQcsmdKvzg5V0cLG2AuOmw9Hf4qSr/rKzm+oZG/bqcihxu/uBmSptKh+Q9CSGE6GxQg3BFUZYrinJYUZR8RVHu7eJ1X0VRXnW9/qWiKCker/3Sdf6woigXe5wvUhRlv6IoexRF2TmY4xfDn83q0GbCXdJmdB1cN372mX6cE53FhQMIwrdX7dGP50RM6XIRqBADERRu4dzrxuvt4oQLyXvynS5nw/18jDx1y2ziQ7UdW5utDm5/fgcVDW0w/y5IX4IR+NWpWn7aZNevK6wv5Ma1N3LQY32DEEKIoTNoQbiiKEbgUWAFMBG4QVGUiR263Q7UqqqaAfwT+Ivr2onA9cAkYDnwmOt+p12oqup0VVVnD9b4xchwMrcGu1VbaBYW4094bECnPtYTJ7AdOwZAm9FMedokJsYG9++BDWVsV5v15lypDy4GyYSFsSRmuD/Pe43zqP98e5d9o4MsPHvrHIJ8tbKZZfVtfPs/O2i2OeFrT0BAFApwW1UpfzXEYTZoKVvVrdXcuu5WNhRtGPT3I4QQwttgzoTPBfJVVS1UVdUKrAKu7NDnSuB51/EbwBJFm1a8Elilqmq7qqrHgHzX/YTwUrCnUj9Om971QsumT92z4HsjMzh3cny/Z69tRZvYZXHng8+JX9iv+whxJoqisOQ70zEr2q6ZbZYIPv3Pvi5nwwGyYoJ47FszMRq0z3ZuaQM/fGU3Nr9ILRB3WVGwjZXxlxDkEwRAq72Vez67h3/v+rdUThFCiCE0mEF4PHDSo13sOtdlH1VV7UA9EHGGa1Vgg6IoOYqifHcQxi1GCIfdSdE+dypK+syuU0yaPFJRdsRMYHH2uC779cbBgvW0GLQfmxijPwmBCf2+lxBnEhDqy7lXuD9jJcZ0cp7b3G3/8zKj+MNVk/X2x3mV/PjVPdhTF8OCH+jn52xdyYvTfkpSUJJ+7qn9T3H3xrtptDYihBBi8A1mEN7VVGPHKZzu+vR07Tmqqs5ES3P5vqIoXdaHUxTlu4qi7FQUZWdVVVVXXcQIV3K4FmurluMaFG4hMrHzLpnO5maaPOqD5yZO4bzMyH4/c4dHPvjciMmSDy4G3YTlE0nycS+g3P5lOyV5p7rtf8PcJO68wF26cM2+Mn762l4ci++H2OnaSYeV9Pd+zssL/o9z4s7R+24q3sQ313yTwvrCs/9GhBBCeBnMILwYSPRoJwAdl+LrfRRFMQEhQE1P16qqevr/K4G36SZNRVXVJ1VVna2q6uyoqH7WgxbDWoFHVZS0GVFdBsTN27ah2LSv848FxzBr7gQsZmOnfr3SXM12Z4PenJN6cQ+dhTg7FEVh6S+WEtSkfTmoKkbWPbqLptq2bq/5xcVZ3LowRW+v3lvKz986hOPa5yHA9fuwtYaQ12/j0YW/59uTv633LWoo4ptrvsmnJz8djLcjhBDCZTCD8B1ApqIoqYqi+KAttFzdoc9q4BbX8TXARlVLeFwNXO+qnpIKZALbFUUJUBQlCEBRlABgGXAAMeY4napXacK0GV3/odXokQ++Y9wELpsW2+9n2go2ssejPvjchHP7fS8h+sIvIYbz59oxu1JF2mxGPnhsLw5b1znciqLw28sn8q357nSTt3aX8L8f1+O8fhWYLNrJmgKMr97MT6bdxV8X/RWLUTvfbGvm7o138/iexyVPXAghBsmgBeGuHO8fAOuBQ8BrqqrmKorygKIoV7i6PQNEKIqSD/wUuNd1bS7wGnAQWAd8X1VVBzAO2KIoyl5gO7BGVdV1g/UexPBVXlBPa6M2w+0X7ENMWkinPqqqUvvJp3r7YPIUzs3ofyrK/sPv0OrKB483BhAXGNfvewnRV4nfvZFpFe+iqNqmU5Unm9n06pFu+yuKwgNXTOaGue5A/I2cYn613Qfn11aiZ/2d+Bze/QErUpbz4iUvEhfg/lw/tvcxfrjxhzRYGxBCCHF2DWqdcFVV16qqOl5V1XRVVf/oOne/qqqrXcdtqqpeq6pqhqqqc1VVLfS49o+u67JUVf3Ada5QVdVprv9NOn1PMfYU7vaYBZ8WicHQORWlPS8PQ7XWr9HsR/r5CzAb+/mRdzrYXpmjN+eOm9m/+wjRTwaLhQl3X0dGwdv6uYNbSsndXNL9NQaFP141mW/Mdmf3rdpxkt8cSUe96AF3x/2vwad/Jjs8m1WXrWJe7Dz9pc+KP+OG92/gaO3Rs/uGhBBijJMdM8WIo6qqd2nCblJRGjxmwXOis7hsxgAqmZTsYofR/bX8nNTl/b+XEP0UdPHFZMY0MK7Cvdh406ojlBd2vwW9waDwp6uncM0s9+f/5S9P8MeaJaizbnN3/OzPsOcVwixhPLH0CW6b5H7tROMJblx7I+uK5ItHIYQ4WyQIFyNO1YlGmmraAfD1NxE/PqzLfhUbNurHh5KnMi+t6y3te6P98BrvfHCPmUIhhoqiKMT88pdkH3mFwEZtoabTobLmsX3Uljd3e53BoPCXr0/lazPcVWKf3lrEw5bvQfoSd8fVd0PuO5gMJn46+6f8/fy/42fSduJstbfy889+zoM7H8TutHd8hBBCiD6SIFyMOJ6pKClTIjGaOn+M7bW1GA/nAuBEIeaiC/RNTPpjX8E6rK7rk30jGBfQ/1rjQgyE36RJhF91GVNyn8RsawKgrcnG6of20FjTfcUUo0Hhb9dMZfmkGP3cPz4u5MXE/wfRrs2MnTZ44zbY9QIAF6dczMuXvExycLJ+zX9y/8MdH95BTVvNILw7IYQYOyQIFyOKqqoU7D5zVZSGzzahuHYWzAtPYtmCrP4/tL6Y7a3u6ppzpCqK+IpF//jHBBjbmbrvcYwO7Vuhptp23vv3HlqbrN1eZzIaeOiG6V618u9bd4L3Jv8bIjK1E6pTmxHf+m8AMsIyePnSl7kg4QL9mi/Lv+T6968ntzr37L85IYQYIyQIFyNKbVkLdRUtAJh8DCRNDO+yX9GaDfpxXvIUZiZ1nbLSK0c3sMNjq/q58ef00FmIwWeKiiLiju8R0ljE5ANPorjSQ2rLW3j/4b1Y27pPF/E1GVl50yxmJ7t/Jn70QSUfzn8eYqe5O354H3z8AKgqwT7BPLT4Ib4//fsorqoqZc1l3PzBzbx99O2OjxBCCNELEoSLEaXQY0Fm8uQITD6dN95R7XaUnV/q7dDFF3ZZPaW32g5/wD6PIHxOzJx+30uIsyX85psxJyYSUZvHxEPPc3pT4crjjXzwxP5ua4gD+PuYePa2OUyKCwbAqcJd7xxn0znPQbLHH5mbH4Q194DTiUExcMe0O3hkySMEmYMAsDqt3P/5/fz+i99jc9gG7b0KIcRoJEG4GFF6k4pSn7MbS6u2SK3aEsJ5yxf0/4G2VvaUbsPm2o0zLTCBSL/+1xoX4mwx+PoS87vfAjCuahdZR1bprxXn1fLhs7k4nWq31wdbzLzw7bmkRwUAYHOo/M+qI+xa9AxkeuwGu/MZeOs7YNPyzRclLGLVZavICM3Qu7x25DVuXX8r5c3lZ/MtCiHEqCZBuBgxGqpbqT6pLUQzmBRSJncdDOe94y6jdih5MlMSQvv/0GOb2e7jnkWfI6koYhgJPOccwr75TQDiS7eQXuz+7BfsruLTl/JQewjEIwJ9eek780kI0yqgtNud3P7SfgqXrIQp17o7HngTnrkIarStHJKCk3jpkpdYkbJC77Kvah/XvXcdn5d8fjbfohBCjFoShIsRIz/HnYqSmB2Oj5+py372rZv1Y7/zFqEo/U9F4cg6dlgsenNuzNz+30uIQRD9s3vwSdaqlyTlv0eq7aD+2qGtZWxadQRV7T4Qjwmx8N/b5xER4ANAbYuNW1/YQ/Wyh2HOd9wdy/fBygvg0PsA+Jv9+cuiv/Dz2T/HqGhpYbXttdzx0R08svsRHE7HWX6nQggxukgQLkYEVVXJ2+b+qjt9ZnSX/RqOnySiUqufbDMYmX31soE8lJYj6zng66OfknxwMdwY/P2J+8ufwWBAAVK2PkZqlLtm+IFNJWx+7WiPgXhKZADP3DoHi1n7J+FETQu3P59Dy9I/wyV/B4NZ69heD6/eCOt/DQ4biqJw86SbeXrZ00T5aelhKior963kex99j+rW6kF730IIMdJJEC5GhMrjjdSWaYGFyddI+syu88F3v/q+fpwfl0V26gDqeVceZLetGrtrJj0zNIMwywCqrAgxSPymTyfif/4HAAWV1NX3kz4hQH99/yfFbH0jv8dAfHpiKI/cMJPTa5j3Ftdz9yt7sM+6HW5fDyFJ7s5fPAL/uQzqSwCYHTOb1y9/3Wu7+y/LvuS6965jZ/nOs/hOhRBi9JAgXIwIeV+U6ccZM6LwsXSdimJbv9bdWHjegFNRtltkl0wxMkR9/y58s7O1RnsbmVv+4fXH6t6PT/LFWwU9BuJLJ47jgSsn6+2P8yq5f3UuatxM+N5nMH65u/PJbbDyPMhbA0CEXwQrl67kzml36mUMq1qr+M6G7/DI7kekeooQQnQgQbgY9uw2B0d3VOjt7AWxXfY7uf8w8SX52jWKgRk3X9tlv147sp4v/Pz0pqSiiOFM8fEh7i9/QTFrqSPW/fuYYdtMukcVod0fnmDbu4U9BuLfmp/MnRek6+2XvzzBY58WgH84XP8KLP0duHLAaTkFq74J79wFbfUYDUbumn4XTyx9gjBf7Vsjh+pg5b6V3Lj2Ro7UHjnr71sIIUYqCcLFsFe07xTtLdrmI8GRFuIyu652svuZV/TjwrRppGbE9/+hzacoKd/FIVc+uEkxSRAuhj1L1niifvRDvV3z2GOcM7mR1GnuSkK71h1n+/vHerzPz5dlc8x1rAAAIABJREFUcdX0OL39t/WHeX3nSTAY4NyfwC3vQZDHH8N7XoLHz4FjmwBYGL+Q1y9/ndnjZutdDtUc4vr3r+eZ/c/Iok0hhECCcDECeKaiZM2PReli4x2r3UHIlo/0dthVVwzsofkf8ZGfuyrKgrgFBPsED+yeQgyB8Ntuw2/mTK3hcFD6k59wwdIAUqZE6H12rikiZ11Rt/cwGBT+es00Fqa7r7n3rf1syHUtjk45B+76wruMYf1JeP5yWPdLsLUyLmAcz1z8DL+Y8wt8jVpal81p41+7/sXN626mqL775wshxFggQbgY1prr2zmRe0pvZ8+P6bLf5rc+JrpJ69fs48e8G68c2IOPrGNDgL/evCj5ooHdT4ghohiNxP/jQUzRWgUhZ0MDpXfdydLrEkia5A6qt71TyN6PT3Z7Hx+TgSdumsXEWO2PT4dT5Qev7OaLAtfPo18YfP1puOY57Vi/8WOwchEU52BQDNw08SZeu/w1pkRO0bvsq9rHte9dy8q9K2mzt53Fdy+EECOHBOFiWDu8rZzT6avx40MJjvTrsl/562/px6fmLMLXv+t+veKwUXZso75VvUkxsjhpcf/vJ8QQM8fEkPDYYyiuNQ22kycp+/GPuPi28cRnuQPmLa8f5cCmkm7vE2wx8/y355ISof1BarU7+Z8XdnKgpN7dafLVcNc2yPQoB1p9BJ5ZCh/9DuztpIWk8cKKF7h7xt2YDNqi6jZHG4/seYTL37mc9wvfx6k6z95/ACGEGAEkCBfDlqqqXqko3S3IzC8+xfhDX+rtibd8Y2APPrGNj0zunNW5MfMI8Q0Z2D2FGGJ+kycR/7e/gqtCUGtODtW//x2X3DmF2HT35/mzVw6Tt62su9sQFeTLi7fPIzpI+6O0qd3OLc9up7Cqyd0pKAa++Rpc/hCYXaURVSds+ac2K16Sg8lg4rtTv8srl75CVliWfml5czm/3PxLvrX2W+yu3H0W/wsIIcTwJkG4GLYqixqpLW8BtNrgaTO6rg2+6fm3CXR9pV0XGk3CefMH9uADb/BhgHsm/aIUSUURI1PQ0qVE/+wevV3/7moa/vM0l/1gGtHJQdpJFTY+f4ijOyu6uQskhvvz4u3zCHaVBj3VbOWmZ7ZTVt/q7qQoMOtWuOtzSDnPfb4qD56+CD76f2BvJzs8m1WXreL+BfcTbgnXu+2v3s/NH9zMPZ/eQ2Fd4Vl5/0IIMZxJEC6GLa/a4DO7rg3eZnNg3rheb5uXXzKw2uC2VioOvsNu11b1BhRJRREjWvi3v03otdfo7ap/PUTbpx9y+Q+nExEfCICqwkfPHuTY3qpu75MVE8Rzt83Fz6yVJyypa+XmZ7ZT3dTu3TEsBW5ere20qc+KO2DLP2Dl+VCszYpfO/5a1nxtDd+Z8h18DO5daTcc38CV717J9z/+PtvLtvdYTlEIIUYyCcLFsGS3Obxm5rpLRflgyyGmlx7U25NvvX5gDz78AR+b7HpzTswcr9k6IUYaRVGIuf9+/Oe7vyEq/d97sW3bxBU/mk5YjJbv7XSqrHvqAMcPnOruVsxKDuPxb83E5KpQdLSyieue+IKSulbvjgYDzP0fuHNrh1nxQ1qu+LpfgbWZQJ9AfjTzR6z+2mpWpKzwusWm4k3cvuF2vvH+N1hTuAabUzb7EUKMLhKEi2Hp2N5q79rgGV3XBj+66i1MrgVd9ekTsKQkD+zBe1fxoUdVlGUpFw/sfkIMA4rZTMJD/8InNRUA1Wql+O4fYv3wfa788QyCo7T0K6dd5YMn9nPiYPeB+AVZ0fzjG9P17e0Lq5u55vHPya9s6tw5PNVjVtz1c6U6Yduj8Nh8yP8YgPjAeP56/l956ZKXWJy4WN9xE7T64vduvpdL3rqElXtXUt5cfhb+iwghxFdPgnAxLOV94f6HNntB17XBc0vrydq7WW8nXPf1gT20qZLqYxvJcVVFUSQVRYwixpAQEp96CnNSknbC6aTs17+m7c3/ctVPZhAUoaVgOexO1j6+n5N5Nd3e64ppcTx240x8jNo/IWX1bVy38gv2Fdd17nx6VvyuLyDtQvf5uhPw36vh7TuhRXvW1KipPLT4IVZftZrrxl+n1xcHbQHnI3seYdkby7jjwztYd2wd7Y72jk8TQogRQ4JwMew017Vz0mMmLmte17XB31v9OePrigFwGE3EXnXZwB68/3U+9vNFdeWUzxo3i0i/yDNcJMTI4ZMQT8pL/8U3O1s/V/m3v9Py9MNc+ZPpBIZrQa/D5mTto/soOVzb7b2WT47l2Vvn4O+j5YjXNFu54cltfF5Q3fUFYSlw09tw1eNg8fhma+/L8Ohc2PMyOLVvtVJCUrhvwX1suGYDd02/yyslTEVla+lWfr7p5yx+bTH/9+X/caD6gOSOCyFGHAnCxbCTt63MXRs8q+va4I1tNuzr1upt5/xzMYYMsIzg3le8UlFkgx4xGpmiokh+8QX8Z7u3lK959lmaH/wDV949lcAwLRC325y8/+heSo92Mbvtcm5mJC99Zx4hfmYAmq0Obn1uh3tnzY4UBaZ/E36wAyZd7T7fXAXv3AnPXATFOfrpcEs4d067kw3XbOCvi/7KgtgFXqkqDdYGXsl7hRvW3MBlb1/GI7sfkcoqQogRQ4JwMaw4HE4OfObePKS7BZnv5JzkvOM79XbKN6/psl+vlR+gpjKXHRb3199Lk5cO7J5CDFPGoCASn3mawCVL9HP1b79N4wP/y2XfzSIgRKtWYrc6ee+RvZTldx+Iz0gK4/U7FjAuWPvZsdqd3PnSLp7eXNj97HRgNFz7HFz/CgTFuc+X7ISnF2spKo3uQN7X6MuK1BU8uexJ1n19HXdNv4v4wHivW55oPMHKfSu58t0rufa9a3n2wLOUNHW/EZEQQnzVJAgXw0rBrkqaarU8T78gMxmzojv1cThVtrz5IdGtWmBgCwwm6LzzOvXrk72vsDHAD6crFWVG9Ayi/Ts/W4jRwuDrS8JD/yLk6+4Z6aZPPqH2jhtZfkUw/sGuQLzdwXuP7O0xNWX8uCDeuGMhya6dNR1OlT+sOcTdr+ymud3e7XVkX6LNip93DxjdZQrZ+zI8PEvb7MfunfcdFxjHndPuZO3Va3lm2TNckX4FgeZArz55NXn8M+efLH9zOde9dx1P7ntSZsiFEMOOMhby6GbPnq3u3LnzzB3FV0pVVd74804qjzcCMPfyVOZcmtqp37t7Sqj+8Y9YWJ4LQMD1N5D0u/v7/2CHHf45ke8FOPnctd39L+b8gpsm3tT/ewoxQqiqStWDD3Lq6Wf0c4rZjOVHv2Hj4VhaG7XSgAaTwkW3TeryD+PTKhvb+J8Xcth70j1zPn5cIE98axZpUYHdXgdAzTHY8BvIe9/7fHACnP9zmH4jGM1dXtruaGdz8WbWHlvLZyc/w+q0dtkvNSSVJUlLuDDxQiZFTMJoMPY8JiGE6CNFUXJUVZ195p4ShIthpPRoHW8/uAsAo9nALf+3EL8gH68+DqfKrfe9zK/e/IN+LnX1u1jGj+//g49+SN0r13FBUjwO10z4hq9vIDaw61QYIUaj+vfXUH7//ThbWvRz6rJr+NKyjJYGV41uBRZ9YzxTLkjo9j7tdgcPvHeQl748oZ8L9DXx92unsXxy14usvRR8Auvu1Xba9BSWChf8EqZcAz0Ez43WRj4+8THritbxZdmX2J1dz8SH+YZxTvw5nBt/LufEnUOopesyqEII0RcShHcgQfjIsPbxfRzbq1VWmHheHBfemN2pz3t7Szl5z8+4sHg3AJYLF5P6+KMDe/Ab3+btonXcHxUBwNTIqbx06UsDu6cQI1D7sWOU/OSntOe5A2B72mT2Tv0B9XUO/dys5cnMuzKtx91pX995kt+8c4B2u1M/d+cF6dxz0XhMxjNkQjrssPNZ2PRXbdGmp6hsuPBXkH25Vv6wB43WRjYVb+LjEx+zpWQLrfbWLvsZFAOTIyezKH4RixIWkR2ePbCdd4UQY5YE4R1IED781VW28NJvt4Hr43jDb+cRHhvg1cfpVPnWA2/wq1W/xejqmPL66/hNmdz/B7fVw9/Hc2dEEFtcqSj3zLqHWyff2v97CjGCOdvbqfjTn6hb9ap+zuoXysHF91HTbNHPZS+M5cIbszD0EFAfKKnnjv/mUFzrDn5nJIXyz+umkxIZ0O117gc3w/YnYcu/oK3D4tCYqdrMeNYKrerKGbTZ2/i89HM+PvExW0u2cqqt+w2Jov2jOS/+PM5POJ95sfPwN/t321cIITxJEN6BBOHD36ZXDrPfVRUleXIEl/1gWqc+H+wvI+9n97L8+HYAfOYvIP0/zw7swTnPU/rBT1iREKcvyvzg6g9ICOr+63YhxoKGtWspu+9+nM3NADgMPhxa8BMqzUl6n+QpESy7fRI+FlO396lrsfKjVXv47Ih7Rtvfx8h9l03k+jmJvZtxbquHLx6DLx4Fa6P3a3Ez4IJfQeZFvQrGAZyqk0M1h9hSvIXNJZvZX70fp+rssq+PwYd5sfNYkbqCxUmLCTD34o8HIcSYJUF4BxKED29tzTae/+VW7FbtH8ErfjydxOxwrz5Op8o3/+9dfvXSbzCr2tfiyS++gP+cOQN7+LMr+EfjQZ4LDQZgfux8nlr21MDuKcQoYT1+nJKf/Zy2/fsBcCoGDk+4ibLouXqfsBh/ln9vSqdvrjw5nCpPfFbAPz88gt3p/jdn6YRo/nT1VKKCfLu91ktLDWz9F2x/Cmwt3q/Fz4YLfwnpS3odjJ9W11bH56Wfs6lkE5uLN9Ngbeiyn8VoYVHCIi5Ju4Tz4s/Dx+jTZT8hxNglQXgHEoQPbznritj2jlY+LCI+kG/8Zk6n2bH1ueXs/vl9XFm4BQDz9BlkrHp5YA+uOUbrwzNYmhhHg1Fb6PXw4oe5IPGCgd1XiFFEtdupfvJJqh97HOx2VKAw9TKOJ6/Q+5h8jSy+KZvM2eN6vNeBknp+/Ooe8iub9HMRAT78+etTuWhiz9d6aaqErQ/BjqfB3ub9WtJCuOgBSOzfH+h2p519Vfv4rPgzNhVvIr8uv8t+QeYgliYv5aqMq5gRPUNyyIUQgAThnUgQPnw57E5e/PXnNNdrJcWW3DKh0wY9qqpy/V/W8ssX7sXXVekg8aknCRxobfAN9/H6/md44P+3d9/hcVVn4se/Z6qmSKNRr7Yky5Yr2AaMwdgU0ztsaCGQZLOQumx+IRvChtCyqZAEUkiBJUAIJRTTwfTQwb3KsuWmYlmjLo1G0rTz++OOZWnUJRcZvZ/nuc+duX2u7sx9de4570kzGmTmJ+bz0iUvYVKSPl+IeB2bNrHnppsIlm8HoCZzAWUlVxE17S8NPuq0PE68tBizZeDvUGcowi9e3cJDH+3qNf2iuTn8+PyZpLmHWSoORoc+H/wWVv4NIr3ziTPjQlh6G6QVD397/ahsq2T5ruW8svMVtjVt63eZgqQCLpl6CRdOuZA0R9qY9ieEOLJJEB5HgvDxq+zTvbz5t80AOJNsXPvTEzFbe9/A39xcy4c33cHl294BwDJjJsXPPj22kqdAI/qeOVya7qbcZgQRkhtciMFFu7qou+deGh96CLTG78phw6zr6OjRsVVWURJnXTcbtzdh4A0B72+r4/tPraO2dX/w7HFY+Z9zp3PZMfmYTCP4frdUw/u/htUPQ8+UhCYLHPMVOPkmo5fOMdrWtI1Xd77KKztf6bc3TrMysyRvCZdOvZRFuYuwmvrPay6E+PySIDyOBOHjk9aaf/5sBfWVxqPp4y8s4thzC/osc+WvX+cHD92EM9ZzXu7v7iXpzDPHtvN3fs6nn/6W/8g2HoE7LA7euuwtEm2JY9uuEBNAYMUK9tz8P4SqqgibE9g8/Rrq0+d2z3ckWjnt2hkUzBm8VLg5EOT2Fzbx3No9vaYvKEjhZ5fOpjhjhN/Hhu3w9k9g07Le021uOPEGOPE7YBt7w0qtNevr17Ns2zJe2/Ua7aH2PsukJKRwTuE5XFB0ATNTZ0p1FSEmCAnC40gQPj5VlzXx3G+NfN8Wq4lrf34iDnfvhk7vlPl446afcs2W1wEwFxYy9eWXUEPkBx5UZyvcM5sbkqy84zJSj11ZciU/Wvij0W9TiAkm2t6O77f30PToo2igMn8p24suQqv9HelMPzGbky6bit0xcPYUgPe21nHLcxupaNzf2NJqVnzzlGK+efIUHLYR9mxZvQreuA12vd97ujsLTrsF5n5x0A5/RiIQCvD67tdZtm0Zq32r+12m0FPIhVMu5LzC86QTMCE+5yQIjyNB+Pj0wu/WUrm5EYBZS3I55YslveZHoprLfvsmNz30Q5JimRByfvkLPBddNLYdv/8bqv71v5ybl4OOlU49f/HzFHmKxrZdISagwMqV7PnRjwjtrqDJU8ymmf9O0O7pnu/22jn1S9OZNCt10O10BCP87u1t3P/ejl4ZVNIT7fznacVcedwkbIPUNe9Da9j2Brx5G/g2956XORvO/AlMOW342xuGXS27WFa+jJd2vIQv4Ot3maPSjuLUSaeydNJSCj2FB3T/QojDT4LwOBKEjz+VWxp54Z61gJFN7Krbjseb1fsx8aOf7GbDL+/lK6WvAmDKyWXa66+hLIOXqg0qGIB75nB3QpiHPUZawkU5i/jzGX8e/TaFmOCiHR3U/e73ND78MEGzg63Fl+PL7H0PmnlSDou+UDxoTnGALXtbufnZDayp6N05T57XwX8tncol83KH7nGz18FFYO1j8Pb/gn9v73nFp8Ppd0DWGDr86kckGmFF7Qpe3P4ib+x+Y8CeOos8RSydtJSlk5YyI3WGNAoX4nNAgvA4EoSPLzqqeeoXK6mrMDrdmHFiNqddO6PXMo3tQS6//RnueuXnJERCAGTdcQfeKy4f284/+ROB5Tdzen4ubbEb+R+X/pEleUvGtl0hBB1r17LnllsIlm/Hlz6PsqlXEOrRziIxJYElV00bsq54JKp5ckUl9761tVfDTYAp6S6+d0YJZ8/OwjySxptdfvj4D0Zqw/gc49PPh5N/ANl9Owkbq0AowFsVb/HSjpf4tOZTIrF+DuKlOdI4KfckFucu5oScE6R9ihBHKAnC40gQPr5sW1nL6w9sAsBsNXH1HQtJTOmdSeGHT69j+u/v4PjaUgBsJSUUPfP02ErBw11w71yepJX/TTM6A5qcNJkXLn5BSqCEOEB0KETjI49Q98f76AqZKJt2JXXp83otM2lWKiddVtzn6Ve8zlCEv3+8m/veLacpEOo1LyspgX87JpfLjsmnIG0EjS1ba+Cdn8KaR4G4+9/Us4xgPG9Y988Ra+lq4V9V/+Ltirf5sPpDOiOd/S5nURbmZsxlcd5iFuUsYpp3mjTsFOIIIUF4HAnCx49IJMpjt39Ka53xeHbemZM48dLeeXzXVjbzq1v+zI8/fRgArRSFjz+GY+7cPtsbkZV/Q7/0XS7KzWanzUgd9sMFP+TqGVePbbtCiD5CNTXU/vwXtL7+Or6MYyibejlhq7t7vsmkmHNqHsedV4DdOXgqv7bOEA9+sIsH3t9BW1e4z/wFhSlcfmw+587Jwmkb5j/qezfCuz+HLS/1nTflNFj0XShYDGNpBD6IjnAHH+35iLcr3ua9qvdo7moecNl0Rzon5JzASbkncUL2CSQnJB+UYxJCjJ0E4XEkCB8/NrxbxXtPbAXA7rTwpZ+cQIJr/w04EtVccc9b3PD3W0jvaAEg+YoryL7j9rHtOBKG38/no85avp5t5At2WV28+YU3cdvcQ6wshBgt//vvs/cn/0t7TSM7Ci9gT/aJ0OPJU4LbysKLipixKGfI3OBN7UH++v4O/rmikob2YJ/5LpuZxVPTOXV6OqeUZJCZNHiucsAIxt+7CzY/T5+S8eRJcPQX4egrIeXgNaKMRCNsatjEe1Xv8X71+2xu2DzgsgrFrNRZHJd9HMdmHsvcjLkk2ZIO2rEJIUZGgvA4EoSPD8HOMI/++GM62ozHyidcOoX5Z07utcxjn1aw486f8m/b3zMmJHuZtvxVzB5P/OZGZt0TsOzrfDsznfecDgCunnE1P1zww7FtVwgxpGhXF41/e4iG+++nRXnZWnwZLcm9n4B5s5wcd14hU47JGDIYD4ajvL3Fx9OrKnmnrI5ItP/72KycJE4tyeDU6enMzfcOXofctwXevxs2PgM62nf+5EVw9FUw8yJIOLhBb31HPR9Uf8AH1R/w8Z6PaQ22DrisQjHNO435mfOZnzmf2amzyXXnSvUVIQ4TCcLjSBA+Pqx4eSefvbgTMNKWXX3HQiw98v82tQf5yi2P8tPXfo05dhPM+dUv8Vx44dh2HI3AfQtZ37aLq3Oyuie/dMlLTE6aPMiKQogDKdzYSP2f/kzjE0/gS55D+ZRL6EpI6bXMSIJxAF9rJ8vWVPPPlZVsr+vbac4+aW47Z8zM5OzZWZxQlDpwusP6cvj0T7Dhaejsp4qIyQoFi2DqmcaQWmykeDpIItEIGxs28lH1R3y450M21G8g2t8/CT24rW6meqcyzTuNad5plKSUUJxcjMs69o6KhBCDkyA8jgThh1+gNcijP/6YUJeRGeC0a6cz48ScXsvc/PQ6Fvz6B0xvqgAgYcECCh5+aOwlOhueRj/zNb6SncHqBOPx9BmTz+A3p/xmbNsVQoxKsLKSunvupenV16nIP4OK/NOIWBy9lhlpMK61Znudn3e21PFOmY/Pdjb2yjfeU2KChdOmZ3D2rCxOnZ5BgrWfjnvCXVD2qpHesPxNGCCrCd4CIxgvPh0mnXDQS8lbulpYuXclq3yrWF27mtLG0iGD8n0ynZlMSZ5CkaeIouQiijxFTPVOleosQhxAEoTHkSD88Hvvya1seKcKgJQcF1fcsqDXjXV9VTN//v7d/OfaZwDQFitTXngee9EY62EGGuGPx/OWbuO7mekAWEwWnr/oeSYlTRrbtoUQY9KxcRN199xD8ydrqMg/larcU/oE4540O3PPLGD6wqxeT86G0tYZ4sPyet7e4uPtLT7q/X3rkAN4nVYuOzafLy6YNHCWlbZa2PBPWP8k7N0w8E6VGXLmQeFio1HnpIVgO7ilz+2hdtb51rHKt4p1vnWUNZUN2sizP3nuPGakzmBm6kxmpMxgRuoMUuKeUAghhkeC8DgShB9eLXUBHrv9U6IR41o791tHUXjU/jzBwXCUa+5+lRv/8WMSQ0bWlNRvfpOM/7ph7Dt/5jpCG/7JxXnZVFiNBqBfmvElblpw09i3LYQ4IDq3bKHhwQdpeP1fVGYtoTKvbzBut2nmnJrPUWcU4HDbRrT9SFSzancTyzftZfmmvVQ19d95zuKpaXxp4WSWTs8YuEOglmqjZHzb67DjXQj6B96xyQq5xxjVVyafCPnHg/3g5v/WWlPXUUdZYxllTWVsbdrKtqZt7GrdRTjaN7PMQHJcOczNmMu8jHnMy5hHcXIxZtPw/wkSYqKSIDyOBOGH12t/3cj21UYXztnFHi65cX6vKiY/e3kzmXffxok1GwFQuXlMe/lFTAnDyGwwmC2vwBNX8Y8kN79INUp1Em2JvHLJK5LiS4hxKFRTQ+PfH6Xu6RfYnbKQqryTCVucvZYxE2FKkWL+ZUeTWpg+4n1ordlc08ryjXt5dk11vwF5tieBLy2czNXHTyLZOUjAHw5CxcdGQL7zvVgp+SD3VGU2OgSafKLR0HPyCeDwjvgzjEYoGqKyrZKdzTvZ3rKdHS072N68nfLm8mEF526rm6PTj+4OzOekzcFpdQ65nhATjQThcSQIP3x2rKnj1b/sf3x76X8fQ/aU/ZlO3t9Wx1P/8xu+ueG57mn599+Pe/FJY9txoBHuW0hrwMd5eTk0m40SnO8f+32+POvLY9u2EOKgirS10fz0MzS8+Cq7WlOpyDutTwNOgLRQJSUFEaYsnYnr2PmYbCMvIf/XVh+PflLBO2U+4m+HDquZLxyTx1cXFVCUPoxUpoFG2P0h7HzfCMrrSodYQUHWbJh8Uqy0fBE4D201kFAkxLbmbZQ2lFLaWEppQyllTWV0RboGXc+szJSklDA33QjK52bMJdOZKVlZxIQnQXgcCcIPjw5/kMfv+LQ7JeH0hVks/crM7vkN/i6+futj3Prar7FGjUZPyVdfTfaPbxn7zpd9A9Y9zm+8yfwt2Wh0lOvO5YWLX8BmHtmNWghx+HTt2EnzK6+w9V872GmbQ1ti37YcCZ0N5NZ+zJTsDrwL5+NaeDwJM2eOqIfdysYAj39WwZP95CBXCpZOz+Q/FhdyfGHK8ANNf50RlO/+yBhqNzJoSTlAxiwoOhmKTjFKzA9y9ZX+hKIhyhrLWONbwxrfGtb61lLXUTfkeqkJqcxKm8Xs1NnMSpvFzNSZpDnShlxPiM8TCcLjSBB+eCx/YCPlK41qKC6PjatuO767ZzytNd/86/t84a8/Ire9HgBzyXSKn3pyxKVZfWxdDo9dTrXFzIW5OQRjDUB/teRXnFN4zti2LYQ4LLTWdJZtZfsz71FabsJnm9yr0x8AFQ2RUbeWTN9K0oKVuI+Zh3Ph8bgWLsReUjKs4LkrHOGldTU88MFOSmv65ueelunm8mPzuWReLqlu+8g+REcTVHwKuz+AXR9CzbqBs64AmCyQe6wRkBedDHnHgXnw3kUPBq01Vf4q1vrWGkF53VrKm8rRQ/1DgZGRZUbKDEpSSrrHksdcfJ5JEB5HgvBDr3yVj+X3b+x+f963j6Jgzv4SkYc/3In/tls4rWo1ANEEB1OfexZbQcHYdtzRDPcthLYabkpP5RW3kZlgTtoc/nHuP+SHX4jPiaYde1m3bAPbyiMEdd9/3C0hf3dAntxcjiU9FffiJbiXLMZ14omYkwZPy6e15uPtDTzwwU7e3uLru32T4vQZmVx+XB5LpqYP3JBzMJ2tUPkp7PrAKDHfswYGq59tS4TCJVB8GkxZelB78RxKa7CV9XXrWevzN45dAAAgAElEQVRby1rfWjY2bKQ9NHCe9p4SrYmUpJQYg7eE6SnTmZI8RZ5Sis8FCcLjSBB+aHW0BXn8zh7VUE7MZum1M7rnb9nbyr3f/y03rHyie1rOXb/Cc8EFY9/589+GNY+y0Wbjqtz9HfM8dPZDHJN5zNi3L4QYV8KhCNtX+Vj/xk581Z39LmPraia9fh3JzeUkt2zHHvHjmDsX9+LFuE9egn369EH/QS/3+Xnww50sW11NR6hvyXVGop3zj8rh9BkZHFeYgnU0ATlAlx8qPoEd78DOfw2eDhEgpcgIxotPN9IiHuR0iIOJ6ii7WnexqX4Tmxo2sbF+I1satwxZt3wfi7JQmFxIidcIzKd5pzHVO5U0R5oUnogjigThcSQIP7R6ZkNxe+1c+eMF3dVQOkMRrvvJU3zvmZ+REDGCdPfFF5P/i5+Pfcdlr8LjV6KhV8c8Syct5Z5T7xn79oUQ41p9VRvbVtSybYWPtsb+A3KAhI56PK07SG7ZTlLrLhJd4Fm0YMhScn9XmJfX7+HJFZWsrug/F3digoVTSzI4fWYmJ09Lx+MYQ/WR9nojGN/xLmx/F1oqBl7WbDPqkBefYQTl6SUHtSfP4QhFQ+xq2cWWxi1sadxCWWMZpY2ltAb7VvMZiNfu7Q7Ii5OLmZI8hUJPIR67Z+iVhTgMJAiPI0H4obNtZS2vP7Cp+/0F/3k0k2alAsbj3VufWs0Jd3+fwta9xgKTCylZ9jQm5xhTXVWugEcuhFCgV0pCi7Kw7KJlFHgKxrZ9IcQRQ0c1e3e2sm1FLeWrarufyg3GGvKT0NGAo6uRRI8Zz6Q0vLMK8B5dgjsjCUeiFVOPEu5yXxtPrazimdXV1Pv7L+21mBTHFng5pSSDU0symJbpHn2prtbQUA7lb8H2t4wqLKHAwMt78mN1yU8xqrC4M0a33wNMa01toLY7C8vWpq1sadxCZVvliLaT7kinKLmIKZ4pFHgKmJw0mYKkArJcWZjUKJ9ECHEASBAeR4LwQyPQamRD6Ww3bngzF2Vz6jX7q6H833vb6bzz1v31wK02pjz9FAkl08a2Y98W+NvZ0NFEudXKFblZBGM3uq/O+irfO/Z7Y9u+EOKIFY1Eqd7WzJ6tzdRsb6Z2Ryvh0PC6ee9N43Ao3CkOPFmJeNIdeDIcuFIS2Bro5L2KBt4s9bGnZeAS+GxPAqeUpHNKSQaLitNw24efvaWPcJeRo7z8LaPzIN/mwZfPmBkLyE+G/AWHPBXiUPxBP9uat1HWaATm+zoZCoQH+UejH3aznfzEfAqSCshPyifPnUeeO4/cxFxyXDlYD0PDVjGxSBAeR4Lwg09HNa/+ZQM71xmZTtxeO1fdejw2h3GTeW3jXj69+U4u3/ZO9zqZt99GypVXjm3HzZXw4FnQWk0QuCovl61WIyd4ibeEx857TBr7CCG6RSJR6iv81Gxvpqa8hcY9flrrO4iOJi7vwWIz4c12Yfba2KMjrGrx82ljGx0DFMpazYrjClI4tSSDU6enMyV9DKXksL8nz/I3jeorXUNU+UieDDnz9g/ZR4NjfHViFtVR9vj3dAflO1p2sKN5BztbdhKMBofeQByFItOVSbYrm3RHOhnODDKcGaQ708lwZJDqSMVj9+Cxe7CaJFgXoyNBeBwJwg++j5/bzurXdne/v/CGueTPNEpa1lQ08chNd3H9mmXd8xO/cBm5P7ljbDed9np48Gxo2AbAXWnpPJJodHVtN9t54rwnKPYWj377QogJQUc17S1BWus7aN5dR8P6HbRUNtDe1EFn2EqXzUPINrp83SaHmVa7ojzURZWO4DNHaTRpdNxPX57XwaklGSwqTmX+JC8ZSWPoMTgSgupVsCNWn7xqBUSHrpJDYjZ4C40GnykF+18nTzZKzsdJA8lINEK1v5rtzdvZ3rKd3a27u4fGzsYDsg+X1UWyPRmP3WOMbR6S7ElGkG4zAnVvgpcMZwaZzkyS7cnSgFQAEoT3IUH4wVX60R7efmRL9/ujTstj8eVGFZOKhgA//eF93PD+g5hiOWVtS06m6L4/jKgjjT662uDhC4yUXsDHTjfXZ+5/vHrzgpv54owvjn77QggBhJua6Fi1irbPVtK8fhutVY0EzB46HOl0ONIIONLpcKQTtg4/M0lEQZ0pSp05is8cpc6kqTNH6exRap6b7GDepGTmT/Iyf7KX6VmJJMSe8o1YsB12fww73zXyk9duhMgIS5KtTvDkxYZ8Y/BOBm+BMbjSx0WQ3hpspaK1gl2tu6hqq6KqrYpqfzVV/ipq22uHldt8NGwmG+nOdDKdmWS5sijwFFDkKaLIU8TkpMnyRHYCkSA8jgThB09VWRMv3ruWaNS4jibPTuXcb87BZDbRHAjy37c9wndevhdbLPetmjmbaf94BJPDMfqdhrvgscuNEh6g2WTm34qn4wu1AXBS7knct/Q+KZUQQhxwOhwmuHMnnaWldG4uNcalpXR2RGh35eB35eJ359DuysXvyiZqHn6HPm3KCMaNwXjdaNJEYz9laW4buckOcpId5CY7yPU6yEpKINVtJ81tI9VtJynBMvRvXzgIdaVGIca+oXbz8ErLB2J1GiXm3gIjf3l3iXohJE86LJ0MxQtGgtS01+AL+KgN1FIXqMMX8FHXYYybOpto6WqhJdhCVI+xflIPZmUmLzGPIk8R01OmMz1lOjNTZ5LpzJT71OeQBOFxJAg/OJr2tvPMr1bRFTAC7NQ8N5d+fz62BAtd4Qg3/moZ1z7+MxJDHQBEc/MpefpJLF7v6HcaaISnvmKk7cLoAPp7R53Gm23lgJHO6tmLnpWukoUQh4zWmlD1Hjo3b6KztJSuWHAe8tXR4UjD786jzZ2L35WH351LV8LwG0WG0TSadK/AvN4cxa+AfuI3q1mR6rKTkWQnzxsL1pMd5Hqd5Hkd5Kc4+28QGglDSyU07oCmndC4b9hhTA/6R3+ClNkoQU8p3F9y3nNwjOGecBBEdZS2YBstXS00dzV3B+YtXS20drV2v27oaOgO6P2hkZ8fr93L9JTpzEidYeRHTylhctJkLKYxPCUWh50E4XEkCD/wOtqCPP3LlbTWG5kAnB4bl/3wWNzeBEKRKD+6/23O/cuPyewwcumGPV5Knn4SW37+6HfqK4XHr4SmXd2Tlh17Bbc2fNz9/ven/Z5T8k8Z/T6EEOIACdXWEvjsM9o//ZTAZysIVRh5vkMWF23uXNrduT1KznOIjqAxYIfS1Jui1Js19eYoDSZNgzlKYIDgvKeMRDtF6S6K0t0UpbmYku6mKN1FbrKj/54/tYbOZmipMobmSiNneXOF8XvcuAu6WoZ97H3YPT2qtvSo4pJcAMn5YBn+04TDJRAKUBuopTZQS3VbtdGItMVoRFrtrx72duxmO1OSp/QKyvPceeS4c6RKyxFCgvA4EoQfWOFQhOd/u5a9O4wfXYvNxCU3zidjchKBYJhb73mB8x+/a38AbndQ/NjfccyaNfqdbnkZnr2+V2nMxhO/wb/XvUNH2Chpv2zaZdx6wq2j34cQQhxEoZoaIyj/+BP8H35ApK6+e15UmehwpON35+GPVWtpT8qn0zayjCUdStMYC84bTZpmc5Qmk6bFpAkPEZybTYo8r4PJqS4KUp1MSnGSn+IkMymBjEQ7aW47NssA6V46mmIB+c7YeMf+cevwg9C+FCTlxILyHoF68mSjmktiFphGWVf+EOkId7CrZRfbmrdR2lDa3XnRSErP92V2yU/MJ9edS7ojnVRHKl67lxRHCikJxiCZXQ4/CcLjSBB+4EQiUd58cDPlq4weMVFwztfnUDQ3neZAkJ/d8TeuePlPOMNG5xVRk5lJf/kTiYsXj26HWsN7d8E7P90/zeqi/Ow7+cq2h2iJlb4UJBXw5PlP4rSOsdMfIYQ4BLTWdJWV0f7BB/jf/4DA6tUQ6lsnO2RxxNU1z8HvziViHnn2lA4zNKgoTaYobUrTbtK0mTR+pfGbNAFFn6wt8VJctu6A3OO0kuyw4nFYSXZaSXbYSHZaSU+0dw92ixlCHdC02wjK+xtiBSmjYrIYVV2SJxnDvkaj3Y1I88ZlSXpUR6lqq6K0sbS7N9GypjJ8Ad+Yt51oS8Rr95KckEyy3RgynBnd+dJz3blkubIkWD9IJAiPI0H4gRHsDLP8/k1UbGronrboC8XMPX0Se1s6+cuNv+LfPnwSc6xBS8juoPD395C4ZMkod9gOz30TNj+/f1ryZCovuocvr/hf6jrqjEn2ZB46+yGmJE8Z9WcTQojDKdreTmDlSjrWraNj3Xo61q8n2tbW77Ia6LInG6XlrhzaXVm0O7MIOLOIWEaf2jCKplNBpzLGHUrTqTQdCrpMOvZ+33zjdUBpugapApPstJLutpPlSaAozUVxZiLF6W6mZrpJddmM1fw+aN4XpPcI1pt3G9VfxprRxJ1ppF9MzIakbEjMiY2zjKwuzjRwpY2LYL25s5mtTVspayqjvLmcqrYqKtsq2du+94BmdjErM1muLAo9hczLmMe8jHnMSZtDwhiuH2GQIDyOBOFjF2gN8vIf1+Hbvf+mMOeUPBZfMZUdta289K3/4czNb3fP60pJZ/rfHhh9b5g73oUXbjB+hPcpWEzdBb/l2ndvoMpfBYDT4uT/zvo/ZqfNHt1+hBBiHNLRKMFdu+hYu47OjRsIVlYRqqoiVF2NDvafXnBfcL4vIA84M+lwpNHhSKczIQWtDk61jSBGSbrfpGmLlaq3mDQNZk2DKTpgh0XJTitTM9zMyE5iZnYSs3I8TM10907FGA4aDUP3BeXdAXqlUSc9UN//xkfD5gZnqhGQJyRDgqfHkGSM7fHvY2Ob66CmaAxFQuxp30NlWyXVbdU0dDbQ2NnYPTR1NtHY2UhLV8uog3WLycLM1JnMz5jPcVnHcUL2CdLD6ChIEB5HgvCxafYFePH362it2//I8NhzC1hwQSEby/ey7ps3cEzVxu55nUXTmP3Q/VgzMka+s44meP0WWPNo7+kLrqf5lB/w1Teup7zZyIRiM9n48xl/5ris40b1uYQQ4kijo1HC9fWEqqsJVe8hXF9HpLGJcGMDkYbGHuNGdGB/l+9RZaLTnkKHI43OhDS67B667B6CtmTj9Rg6JBpKuzKC8YZYI9LaWKaX/uqom02K4nQ3M7ITKUxzMynVwaQUF5NSnKS5bX1T+gXb9wfkzbuN+ufdjUeroG0PHMB0gwMyWYwsL44UY+zcN04Fdwa4Mozgvufrg1CXPRKN0BpspbmrmeauZpo6m2jqbKKmvYZqf7UxtFXj6xi62ovX7uWcwnO4sPhCZqbMlHSKwyRBeBwJwkevdmcrL9+3jo42o66iUrDkqhJmnJTDc394nLSH/kBGoKl7+c6Fizn6vnswOUdRN7v0RXj5RvDX7p+W4IGzf0n7rAu57vXr2FC/ATAepd1z6j2SCUUIIQYQDQQINzQQrq8nXF9PpKGBUG0t4Zq9hGr3GuO9e9GdRparqDITtjgJWZ2ELC7CsXHI6upnupOQ1UXQ5iE6iqwdUTQNJs1eixGU18bSL4YGifOcNjP5Xidel1EPPSkhNo7VS3fZLbjtZpw2Cy67BZfdjMsCyZEG3ME6VFsNtNYYgXlrDbTVGGlvA/UQaIBYfxaHhDIb1WSSso2Gp/uqyCTlGoMn15hmOTgZUTrDnezx72Fjw0ZW165mjW8NO1p2DLj8FM8ULphyAecXnU+mK/OgHNPnhQThcSQIH51dG+pZfv9GwkGjFMFiNXHmf8zCZG1l1X//mBnb1/RaPvSFLzLnzh+hTAM8exxIaw28dlPvut8AMy6Ec++m1e7g/73z//hs72eA0Ur854t/znlF5436swkhhDAaiEaamwlV7yFUWWFUe9k3rqggtHcvRAcuSdZA2OKgy5ZMl33/0OFI766rPpIOi5pMsXzopv2dFrX26LBotCwmRbLTCNa9ThvJThupLhspbmOc6rKSaesi3ewnhTaSVDvWkN9IzdjZAp2tsdet0NXaY1qLMYylcemAlBGoe3KNQN2dGRsy9o9d6UaVGHsSjPTeG6eps4m1vrWsrF3J8l3LqQ3U9lnGpEycX3Q+1x91PZOTJo9pf59XEoTHkSB8ZELBCJ88t53171R1t4dJcFk55/oZbHn8YbxPPUJCjy6P2xPcJH3/v5n2pctHtqNAI3zwW/jsrxDu3D/dnQnn3g0zL2RT/SZu/NeNvfKs3nL8LVwx/YqxfEQhhBDDEA0GCVVVG4H57gqClZUEd+8itGcPoT01vaq89Eej6Ezw0u7Mpt2Vjd+dS5t7EgFnBqjhBY1aa8K6iw4dJECITh0kGO0iqENECBOJhgjrMFoHMUUjmHUUk452jyPKTESZiJhM3a/DJjMBi52A1UG7NQG/1UHAYifao4pIot1CqttGistGitNGmstGqsNKqtOG12U3gne3nRS3Fa9dYwm2YA41oTqbjftbRyO010N7nTH4fbH3PqPk/UDbF4wnxMY2F9jdRl13mzv2PjFWVSbFqCrjTN1fdaZH/e9INMKK2hW8uP1F3tj9Rncq4H0kGB+YBOFxJAgfvj3bmnnrkdJe9b8TUxNYMDdA3e9+SVpdVa/lKxeezpJf30FC6vB7gKPLD5/8CT76nVGi0NO8a+DMn6ATknmi7AnuWnEXoR5dKf/X/P/iP+b8x6g+mxBCiANHa020pcUIyGtqjDrqvlpCPh9hXx1hn4+wz0fU3zcfdthsp82dT1tiPm2Jk/C78wk4M8bceNQc7sQcDWKKBDFFQ5iiIcyxsRqgbrhWZqImC1GThbDJRthsI2qyEjFZ0CYLKDNqmMelgYgJMCuwKExWE2arCYvdjC3Bgj3BgsNpwekw4bJ04jS1Ywm3Ygk1YQk2Yu6qw9JRi7ljL+aOWkwqhJkwZhXGRAiLCmJRXVhUEJM6kHXdlZHaMbUIUoshZYoxTp1CwJ3JW1Xv8Oy2Z1lZ2zuWMisz5xWdx9eP+jqTkiYdwOM5ckkQHkeC8KH1V/oNkJkWJuvTv5JauanX8tXeHNJuvZW555w8gp10wqq/wXt3923Rnj0XzvwJFC7BH/Rz20e38fru17tnu61u7lx0J2dMPmM0H08IIcRhEm1vNwLz2lrCtbWE9tYSrt1rjPfuJeTzEWloIKLMBJxZsZzoufhdObS7sgnaR9Zh0URhVvuDchvtJJj82E1tJJjaSFDG2GFqwW1uwG2ux22qx2bqHHrD8ZxpULgEik5mjSeDP+14jo9rPu61iFmZuXTqpXx77rdJdaQeoE94ZJIgPI4E4YPbs62Jtx7Z0qv022qOkr/7JSaXL++V/rXTbGXLWVdw0U9uxOkaZj7Rxp2w8kEj40lHY+95adPgtFuM+t9KsaVxCze+eyMVbRXdi0xPmc6vT/61/JcthBCfUzoYJFxXR6jWR9hXS7ihgWh7wAjg/QHa2yL426E9ZKVDuejARVDZCWEjiK17PGDC8gNARcOYomGUjhj7UUZ1G5QJDWhlQo/zDnBs1hBue4BEWwvJ1lq8pgq8bMMb2YLD1DK8jSRPZs2kufzJ1M7HLVt7zXJZXVw35zq+NPNL2EfQFuDzRILwOBKE98+3u5UVL+1k14beddO8LWXM2PwICV3N3dM6zVY+nrGYo773LU46cRjdz0cjsO11WPEAlL9Fn84WPPlwyg/hqCvBbGGPfw8PbHiAZeXLCPdooX75tMv5wYIfTNgvsxBCiOHRUU2wK0I4GCEcjBIORYiEooRDUSLBKNEB4h2TUpitJkxmMIU6ob0VWlvQrU3Q0ki0sQHdWEe0sdHINNPQQKS+nmg/9eGjykTUZCNithEx241qLWY7YbOdiDmBiNlOxJLQ/d6YbyVq2j9ETFZ0rHpMVJmN1yr23mQlbLahTbYDnpc8wWnCmxwmPamRLMcuMllDYtMnqM7GAddZk5LLHzNy+LSrdyPOXHcu3z3mu5w1+awJl9pQgvA4EoT3VlfRxmcv7WTX+t5VQszhAFPLnyF77yfdZQltVgfvzT6Vkm98jXMXz8BsGuTLFI1A9SooexU2PGV0sBDPMwlO+BYc++9gsQ8YfDstTm474TbOLTr3AHxiIYQQ4sDalwIy0tzcY2jpfh31+4m0+4m2txP1t8fGfqIdHUYAH4mMet8aYkG7EfCHLQ5CVhet9mSaXOm0JXgJ2D0EbUlErYmYzQ7syoqZkWVQcSbZyMyBLGclOZH3yWh4HlO4dx1/DbzvcHB3Vg47CfWad3T60XzvmO8xP3P+qD/rkUaC8DgShBvqKtpY8fJOdq6Lq4+to2T4VlO8Y1l36Xd9QhJvzzmdWV//MhefUIzFPMAXt6sNtr8NZa8ZJd/99l6mYOoZcOzXjLHJPGDwDTA/Yz63n3g7hZ7CA/CphRBCiPFFa40OhdCBQHdQHmlpJdISC+Rb9gf24Vpfd+PXaGvr0BsfaJ9AyOqmy+6lxZVFszuXdlcWnY4MIvYUGEZVGpPdREZumBJPKYUNf8MV3N49LwQ8k+jmjylemuMK7BZmL+Tbc7/N3Iy5oz7+I4UE4XEmchDeFQixbaWP0o9q8O3q++XN8K2iYNeruAM1AKxNm8KKOSdz7Jcu4QvHF2Gz9Ai+tTa6C65eBdWrY+NVEA312S5gpD6adw0c+1XwFlDtr+at3W/xVsVbrPGt6dO17vyM+Xxr7rdYkLVgwj2+EkIIIYYS8ftj6SH37E8d2SO3+76Ol0ZKo+iye/C7cmlNKqAlqZDWpAIiFseg61mtbRS6NzNTvUi2tRSTitJqUjzg8fCoJ5FQ3L18Uc4ivjX3WxyVftSojvNIIEF4nIkWhOuopqqsidKPatixxkck3PdvnO5bTeHuV3C319Bic/L25ONoP/MCzj3neE4oSsUU8kP9VqjbCvVlsHejEXDHN6yM58qAaWfBtLOJTDmN7e1VvFv5Lm/ufpPSxtJ+V5HgWwghhBgbrTXhujoj48zevYRrfb2y0IQbG4m0tBBpaYHw0L2DahTtzixakwpoTi6m0TuDoN0z4PLmSAdZ0Q0UJ3zCFO9K6hMC/CXZw0tuF5G4e/tJuSdxzYxrWJC9AIvJMubPPp5IEB5nIgThHW1BqsqaqCxtpGKdj3Z/37pmKhomvX4tBbuX42ivYUP6FCpmzOTo06ZwUlYH7vZKaNhmBN5te4a/86w5RKeeRWX+fDaZYVPjZjY1bKK0oZRAuP+OHEzKxHFZx3HdnOsk+BZCCCEOEa010fZ2o7pLUzPRtlYirW1E/W1E2vzd70NNTQRqagn6fNDYiDngp92VQ0PKTBpTZtLsKRo4G4yO4u3cSZbajCtxEy8WVvJiiplo3L0+JSGFswrO4tzCczk6/ejPRSwwboJwpdTZwL2AGXhAa/2LuPl24BHgGKABuEJrvSs272bga0AEuEFrvXw42+zP5y0I11GNv7mLhmo/VZvq2L2+lubGgZP2u9sqyd77CZm+FUTcYSwFirwiPylW37D3GQVaTCYanB72ZEyjypNNtcNFFVGqO+upbKscMODex2KycEL2CZw++XROyT+FlIQRdPAjhBBCiMMm2tlJuL6e4O7dNK3fzN61m2ncE6RdZdKYMouuBO+A6yodIbGzgpBpGxtTdrMlt5aqlAZ0jw6Hct05nF1wDguyF1DiLTli842PiyBcGd1LbQXOAKqAFcBVWuvNPZb5FnCU1vobSqkrgUu01lcopWYCjwMLgBzgTWBabLVBt9mfIykI11oT6ozQ2R6iKxDG3+CnvrKe+opmWnwdBFrCdHZZ0Az++MYa8pNZu4LsvZ+Qat6JI78TU0EnoeQoncpEh0nRoRQdykSbSeE3mfCbTLSZTPhNijazhSa7iwarjSYFzdEuIvFpBochNSGV+ZnzOX3S6SzOW0yiLXG0p0YIIYQQ44wOBglsK2fT62vYvaGe9mAS7a58UINnYlHRMKZwHWFqabfW0uyoo97dTn1SOy2OdixJisLUHEpSSpiWPofMxFyS7cl47B48ds+4TV08kiD8YFbEWQCUa613xA7qCeAioGfAfBFwe+z108AflPEs4iLgCa11F7BTKVUe2x7D2OZhV7mlkXVvVqK1hpr1BNqCdLSGMGpgKWNQFrSKBdPKbLxWViJmJwzYPa6Fgf5kKhohqW0X3qYtOP1lVKTu4r2pUVafqaj3OIDBG1f0Lwq6s0+K74Ek25OZlTqLmakzmZ02m1mps8hwZnwuHi8JIYQQoi9ls+GaNZMFs2ayAKMwsWFTOatfWEVdeTNd4UQ6HJl9gnJtshCxZaPIxg24OyGvE+iZZE1HMUcCVOsw1Xon6DAQRukw6DDKSNYICmoywGQ2o6wJKKWoWPAx18y9mkW5iw7ZuRipgxmE5wI9E0VXAccPtIzWOqyUagFSY9M/iVs3N/Z6qG0edu3NXezeuK8DnDxjNJoYeBDWkB9noJbEtt1Ew1tocG5na1qQjbMV23MgalIYNXYOnERbIikJKWS5sshz55HrzjWGxFzy3HmkJKRIwC2EEEJMYEop0mZP5czZU7unNWyvZu3Lq9m7pYGgH8LmRIL2gauv7N+YiYjFPaz9psYlgFtZs4pzSs4ayaEfcgczCO8vGosvUx1omYGm9/dso99yWqXU9cD1sbd+pVTZAMc5XGn0/v9MDE7O1/DJuRo+OVcjI+dr+ORcjYycr+GTczV8B+5c/QUu5uIDsqkRmjzcBQ9mEF4F5Pd4nwfEp9zYt0yVUsoCeIDGIdYdapsAaK3/Cvx1tAcfTym1crh1fIScr5GQczV8cq5GRs7X8Mm5Ghk5X8Mn52r4Jtq5Gln/pSOzApiqlCpUStmAK4EX4pZ5Afhy7PUXgLe10VL0BeBKpZRdKVUITAU+G+Y2hRBCCCGEGNcOWkl4rI73d4DlGJWTH9Rab1JK3Qms1Fq/APwf8PdYw8tGjKCa2HL/xGhwGQa+rbWOAPS3zYP1GYQQQgghhDgYDmo3Rbm7W8gAAAibSURBVFrrV4BX4qbd2uN1J3DZAOv+FPjpcLZ5iBywqi0ThJyv4ZNzNXxyrkZGztfwybkaGTlfwyfnavgm1LmaED1mCiGEEEIIMZ4czDrhQgghhBBCiH5IED4EpdSTSqm1sWGXUmptbHqBUqqjx7w/H+5jPdyUUrcrpap7nJNze8y7WSlVrpQqU0qN78Sdh4hS6i6l1Bal1Hql1DKlVHJsulxb/VBKnR27fsqVUj883Mczniil8pVS7yilSpVSm5RS/xWbPuB3cqKL/Z5viJ2XlbFpKUqpN5RS22LjYSQy/nxTSpX0uH7WKqValVLflWtrP6XUg0opn1JqY49p/V5LyvC72O/YeqXU/MN35IfeAOdqwt4LpTrKCCilfg20aK3vVEoVAC9prWcf3qMaP5RStwN+rfXdcdNnAo9j9HqaA7wJTNvX2HaiUkqdiZERKKyU+iWA1vomubb6UkqZga3AGRgpTFcAV2mtx1VvuYeLUiobyNZar1ZKJQKrgIuBy+nnOymMIBw4Vmtd32Par4BGrfUvYv/oebXWNx2uYxxvYt/DaoxO8r6KXFsAKKWWAH7gkX2/2wNdS7F/Vv4TOBfjPN6rtR53nQ4eLAOcqwl7L5SS8GFSSimMG9rjh/tYjkAXAU9orbu01juBcoyAfELTWr+utQ7H3n5Cd/eqoh8LgHKt9Q6tdRB4AuO6EoDWukZrvTr2ug0oZX8vw2L4LgIejr1+GA5PTx/j2FJgu9Z69+E+kPFEa/0eRoa3nga6li7CCEC11voTIDn2T/SE0N+5msj3QgnCh28xUKu13tZjWqFSao1S6l9KqcWH68DGme/EHik92ONRbi5Q2WOZKiRAiPfvwKs93su11ZtcQ8MUKz2aB3wam9Tfd1IYvS2/rpRapYwelgEytdY1YPxjA2QctqMbn66kd0GUXFsDG+hakt+ywU2oe6EE4YBS6k2l1MZ+hp4lbVfR+8enBpiktZ4HfA94TCmVdCiP+3AY4lz9CZgCzMU4P7/et1o/m5oQ9aCGc20ppX6EkQ//H7FJE/LaGsKEvYZGQinlBp4Bvqu1bmXg76SARVrr+cA5wLdjj8nFAJTRQd6FwFOxSXJtjY78lg1gIt4LD2qe8COF1vr0weYrpSzApcAxPdbpArpir1cppbYD04CVB/FQD7uhztU+Sqn7gZdib6uA/B6z84A9B/jQxqVhXFtfBs4HlsZ6i52w19YQJuw1NFxKKStGAP4PrfWzAFrr2h7ze34nJzyt9Z7Y2KeUWoZR5alWKZWtta6JVRHwHdaDHF/OAVbvu6bk2hrSQNeS/Jb1Y6LeC6UkfHhOB7Zorav2TVBKpccaqaCUKgKmAjsO0/GNC3H12i4B9rV+fgG4UillV0oVYpyrzw718Y03SqmzgZuAC7XWgR7T5drqawUwVSlVGCuRuxLjuhJ0t1n5P6BUa/2bHtMH+k5OaEopV6wBK0opF3Amxrl5AfhybLEvA88fniMcl3o9DZZra0gDXUsvANcqw0KMZA81h+MAx4uJfC+UkvDhia8HB7AEuFMpFQYiwDe01vENMyaaXyml5mI8WtsFfB1Aa71JKfVPYDPGo6ZvT/TMKDF/AOzAG0YMxSda628g11YfsVbz3wGWA2bgQa31psN8WOPJIuAaYIOKpVEF/ge4qr/vpCATWBb73lmAx7TWrymlVgD/VEp9DahggB6dJxqllBMjM1HP66ff3/uJSCn1OHAKkKaUqgJuA35B/9fSKxiZUcqBAEaWmQljgHN1MxP0XigpCoUQQgghhDjEpDqKEEIIIYQQh5gE4UIIIYQQQhxiEoQLIYQQQghxiEkQLoQQQgghxCEmQbgQQgghhBCHmAThQghxBFBKRZRSa5VSm5RS65RS31NKDfobrpQqUEodkPzNSqlspdSIOmRRSt2plBqqw6rzlVJ3jO3ohBDiyCMpCoUQ4giglPJrrd2x1xnAY8CHWuvbBlmnAHhJaz37AOz/LuADrfUB7cAm1tHQaoxu5ANDLS+EEJ8XUhIuhBBHGK21D7ge+E6s5z2zUuoupdQKpdR6pVSfjlNipeLvK6VWx4YTY9P/rpS6qMdy/1BKXdjPbv8NeC22zFeUUs8ppV5USu1USn0nVjK/Rin1iVIqJbbcQ0qpL8Re71JK3RHb9wal1PTYZ9HAuxhdVgshxIQhQbgQQhyBtNY7MH7DM4CvYXR/fRxwHHCdUqowbhUfcIbWej5wBfC72PQHiPXap5TyACdi9OrXLbatJq11V4/Js4EvAguAnwIBrfU84GPg2gEOuz62/z8B3+8xfSWweJgfXQghPhckCBdCiCOXio3PBK6NdVn/KZAKTI1b1grcr5TaADwFzATQWv8LKI5VcbkKeEZrHY5bNxuoi5v2jta6TWtdB7QAL8ambwAKBjjeZ2PjVXHL+ICcgT+mEEJ8/lgO9wEIIYQYOaVUERDBCGAV8J9a6+VxyxT0ePv/gFrgaIwCmM4e8/4OXA1cCfx7P7vrABLipvUsFY/2eB9l4HvLvmUiccskxPYhhBAThpSECyHEEUYplQ78GfhDrE71cuCbSilrbP40pZQrbjUPUKO1jgLXAOYe8x4Cvgugtd7Uzy63MnDp9oEwDTggWVyEEOJIISXhQghxZHDEqptYgTBG6fVvYvMewAiSV8eyjdQBF8etfx/wjFLqMuAdoH3fDK11rVKqFHiuvx1rrduVUtuVUsVa6/ID+Jn2ORW4+SBsVwghxi1JUSiEEBOcUsqJUZd7vta6ZYBlLgGO0VrfcoD3nQk8prVeeiC3K4QQ451URxFCiAks1pnOFuD3AwXgAFrrZcCug3AIk4AbD8J2hRBiXJOScCGEEEIIIQ4xKQkXQgghhBDiEJMgXAghhBBCiENMgnAhhBBCCCEOMQnChRBCCCGEOMQkCBdCCCGEEOIQkyBcCCGEEEKIQ+z/A9B9A4RbQnmAAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figsize(12, 8)\n", "\n", "# List of five airlines to plot\n", "airlines = ['United Air Lines Inc.', 'JetBlue Airways', 'ExpressJet Airlines Inc.',\n", " 'Delta Air Lines Inc.', 'American Airlines Inc.']\n", "\n", "# Iterate through the top five airlines\n", "for airline in airlines:\n", " # Subset to the airline\n", " subset = flights[flights['name'] == airline]\n", " \n", " # Draw the density plot\n", " sns.distplot(subset['arr_delay'], hist = False, kde = True,\n", " kde_kws = {'linewidth': 3},\n", " label = airline)\n", " \n", "plt.legend(prop={'size': 16}, title = 'Airline')\n", "plt.title('Density Plot with Multiple Airlines'); \n", "plt.xlabel('Delay (min)')\n", "plt.ylabel('Density');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Shaded Density Plot" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for airline in ['United Air Lines Inc.', 'Alaska Airlines Inc.']:\n", " subset = flights[flights['name'] == airline]\n", " \n", " sns.distplot(subset['arr_delay'], hist = False, kde = True,\n", " kde_kws = {'shade': True, 'linewidth': 3}, label = airline)\n", " \n", "plt.legend(prop={'size': 16}, title = 'Airline')\n", "plt.title('Shaded Density Plot of Arrival Delays'); \n", "plt.xlabel('Delay (min)'); plt.ylabel('Density');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Density with Rug Plot" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Subset to Alaska Airlines\n", "subset = flights[flights['name'] == 'Alaska Airlines Inc.']\n", "\n", "# Density Plot with Rug Plot\n", "sns.distplot(subset['arr_delay'], hist = False, kde = True, rug = True,\n", " color = 'darkblue', \n", " kde_kws={'linewidth': 3},\n", " rug_kws={'color': 'black'})\n", "\n", "# Plot formatting\n", "plt.title('Density Plot with Rug Plot for Alaska Airlines');\n", "plt.xlabel('Delay (min)'); plt.ylabel('Density');" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "hide_code_all_hidden": false, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 2 }