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| { | |
| "cells": [ | |
| { | |
| "cell_type": "markdown", | |
| "id": "considered-limit", | |
| "metadata": {}, | |
| "source": [ | |
| "# Monte Carlo Simulation for Stock Price" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "hourly-thousand", | |
| "metadata": {}, | |
| "source": [ | |
| "---" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "lyric-confidence", | |
| "metadata": {}, | |
| "source": [ | |
| "## Import modules" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 1, | |
| "id": "returning-divorce", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "# Data manipulation\n", | |
| "import pandas as pd\n", | |
| "\n", | |
| "# Linear algebra calculation\n", | |
| "import numpy as np\n", | |
| "\n", | |
| "# Data visualization\n", | |
| "from plotnine import *\n", | |
| "import plotnine\n", | |
| "\n", | |
| "# Number randomizer\n", | |
| "import random" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "everyday-cradle", | |
| "metadata": {}, | |
| "source": [ | |
| "## Monte Carlo Simulation (step by step)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "subjective-mayor", | |
| "metadata": {}, | |
| "source": [ | |
| "**1 Determine the historical data**" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 2, | |
| "id": "catholic-software", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "# Empty list\n", | |
| "price_list = []\n", | |
| "# Create random numbers\n", | |
| "for i in range(30):\n", | |
| " price = random.randint(a = 100, b = 120)\n", | |
| " error = random.randint(a = -2, b = -2)\n", | |
| " current_price = price * (1 + (error / 100))\n", | |
| " price_list.append(round(number = current_price, ndigits = 2))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 3, | |
| "id": "objective-asian", | |
| "metadata": { | |
| "scrolled": true | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "[116.62, 103.88, 110.74, 108.78, 105.84, 102.9, 108.78, 111.72, 98.0, 111.72, 115.64, 108.78, 107.8, 101.92, 98.0, 116.62, 112.7, 98.0, 104.86, 117.6, 105.84, 103.88, 101.92, 116.62, 108.78, 104.86, 105.84, 100.94, 110.74, 117.6]\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "# Historical price list\n", | |
| "print(price_list)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "aquatic-painting", | |
| "metadata": {}, | |
| "source": [ | |
| "**2 Calculate the starting price and standard deviation**" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 4, | |
| "id": "pretty-serial", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "# Starting point\n", | |
| "start_point = price_list[-1]" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 5, | |
| "id": "conscious-republican", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "# Calculate the relative changes\n", | |
| "relative_change = [0 if i == 0 else (price_list[i] - price_list[i - 1])/price_list[i - 1] for i in range(len(price_list))]\n", | |
| "# Delete the first element\n", | |
| "relative_change.pop(0)\n", | |
| "std_price = np.std(relative_change)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 6, | |
| "id": "outdoor-above", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "Relative price list: [-0.10924369747899167, 0.0660377358490566, -0.017699115044247732, -0.027027027027027004, -0.027777777777777755, 0.05714285714285709, 0.027027027027027004, -0.12280701754385964, 0.13999999999999999, 0.03508771929824563, -0.05932203389830508, -0.009009009009009045, -0.05454545454545451, -0.03846153846153848, 0.19000000000000006, -0.03361344537815127, -0.13043478260869568, 0.06999999999999999, 0.1214953271028037, -0.09999999999999992, -0.018518518518518594, -0.018867924528301827, 0.14423076923076925, -0.06722689075630255, -0.03603603603603605, 0.009345794392523402, -0.04629629629629635, 0.09708737864077667, 0.061946902654867256]\n", | |
| "\n", | |
| "Standard deviation : 0.08145849825362406\n", | |
| "\n", | |
| "Starting point : 117.6\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "print('Relative price list: {}\\n'.format(relative_change))\n", | |
| "print('Standard deviation : {}\\n'.format(std_price))\n", | |
| "print('Starting point : {}'.format(start_point))" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "fitted-aluminum", | |
| "metadata": {}, | |
| "source": [ | |
| "**3 Monte Carlo Simulation**" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 7, | |
| "id": "offshore-mambo", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "# Number of days\n", | |
| "ndays = 10\n", | |
| "# Starting point\n", | |
| "price_sys = start_point\n", | |
| "# Monte Carlo Simulation\n", | |
| "prices = []\n", | |
| "for _ in range(ndays):\n", | |
| " price_sys = price_sys * (1 + random.normalvariate(mu = 0, sigma = std_price))\n", | |
| " prices.append(price_sys)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 8, | |
| "id": "distant-coordination", | |
| "metadata": { | |
| "scrolled": true | |
| }, | |
| "outputs": [ | |
| { | |
| "name": "stdout", | |
| "output_type": "stream", | |
| "text": [ | |
| "[120.9218293679572, 117.00681507828484, 121.43937011497658, 119.89282225187634, 104.65101066489927, 97.07172168046195, 91.61155733550974, 103.75315230134842, 105.04542662895905, 97.43826711159085]\n" | |
| ] | |
| } | |
| ], | |
| "source": [ | |
| "print(prices)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 9, | |
| "id": "built-season", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 1000x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<ggplot: (135549622766)>" | |
| ] | |
| }, | |
| "execution_count": 9, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "# Time-series plot\n", | |
| "plotnine.options.figure_size = (10, 4.8)\n", | |
| "(\n", | |
| " ggplot()+\n", | |
| " geom_line(aes(x = range(10),\n", | |
| " y = prices),\n", | |
| " size = 1.5,\n", | |
| " show_legend = False)+\n", | |
| " labs(title = 'Monte Carlo Simulation (Stock Price Data)')+\n", | |
| " xlab('Time (days)')+\n", | |
| " ylab('Stock Price (USD)')+\n", | |
| " theme_bw()\n", | |
| ")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 10, | |
| "id": "cross-section", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 1000x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<ggplot: (135550498792)>" | |
| ] | |
| }, | |
| "execution_count": 10, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "# Density plot\n", | |
| "plotnine.options.figure_size = (10, 4.8)\n", | |
| "(\n", | |
| " ggplot()+\n", | |
| " geom_density(aes(x = prices),\n", | |
| " fill = '#981220',\n", | |
| " color = 'white',\n", | |
| " alpha = 0.85)+\n", | |
| " labs(title = 'Monte Carlo Simulation (Stock Price Data)')+\n", | |
| " xlab('Stock Price (USD)')+\n", | |
| " ylab('Density')+\n", | |
| " theme_bw()\n", | |
| ")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "numeric-shadow", | |
| "metadata": {}, | |
| "source": [ | |
| "## Monte Carlo Simulation (compiled function)" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 11, | |
| "id": "functional-doctrine", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "# Monte Carlo Stock or Cryptocurrency data\n", | |
| "def MonteCarloStock(\n", | |
| " historical: pd.Series,\n", | |
| " ndays: int,\n", | |
| " repetition: int\n", | |
| " ):\n", | |
| " # Calculate the relative changes\n", | |
| " relative_change = [0 if i == 0 else (historical[i] - historical[i - 1])/historical[i - 1] for i in range(len(historical))]\n", | |
| " # Delete the first element\n", | |
| " relative_change.pop(0)\n", | |
| " std_price = np.std(relative_change)\n", | |
| " \n", | |
| " # Repetition\n", | |
| " days_list = list(range(ndays)) * repetition\n", | |
| " repetition_list = list(np.concatenate([([i] * ndays) for i in list(range(repetition))], axis = 0))\n", | |
| " data_list = []\n", | |
| " for rep in range(repetition):\n", | |
| " # Starting point\n", | |
| " price_sys = historical[-1]\n", | |
| " # Monte Carlo Simulation\n", | |
| " for _ in range(ndays):\n", | |
| " price_sys = price_sys * (1 + random.normalvariate(mu = 0, sigma = std_price))\n", | |
| " data_list.append(price_sys)\n", | |
| " \n", | |
| " # Create a data frame\n", | |
| " df = pd.DataFrame(\n", | |
| " data = {\n", | |
| " 'Days': days_list,\n", | |
| " 'Repetition': repetition_list,\n", | |
| " 'Price': data_list\n", | |
| " }\n", | |
| " )\n", | |
| " \n", | |
| " # Return the result\n", | |
| " return df" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 12, | |
| "id": "false-gibson", | |
| "metadata": {}, | |
| "outputs": [], | |
| "source": [ | |
| "# Implementation of Monte Carlo Simulation\n", | |
| "df = MonteCarloStock(\n", | |
| " historical = price_list,\n", | |
| " ndays = 100,\n", | |
| " repetition = 10\n", | |
| ")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 13, | |
| "id": "hired-sydney", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "text/html": [ | |
| "<div>\n", | |
| "<style scoped>\n", | |
| " .dataframe tbody tr th:only-of-type {\n", | |
| " vertical-align: middle;\n", | |
| " }\n", | |
| "\n", | |
| " .dataframe tbody tr th {\n", | |
| " vertical-align: top;\n", | |
| " }\n", | |
| "\n", | |
| " .dataframe thead th {\n", | |
| " text-align: right;\n", | |
| " }\n", | |
| "</style>\n", | |
| "<table border=\"1\" class=\"dataframe\">\n", | |
| " <thead>\n", | |
| " <tr style=\"text-align: right;\">\n", | |
| " <th></th>\n", | |
| " <th>Days</th>\n", | |
| " <th>Repetition</th>\n", | |
| " <th>Price</th>\n", | |
| " </tr>\n", | |
| " </thead>\n", | |
| " <tbody>\n", | |
| " <tr>\n", | |
| " <th>0</th>\n", | |
| " <td>0</td>\n", | |
| " <td>0</td>\n", | |
| " <td>126.588424</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>1</th>\n", | |
| " <td>1</td>\n", | |
| " <td>0</td>\n", | |
| " <td>126.860386</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>2</th>\n", | |
| " <td>2</td>\n", | |
| " <td>0</td>\n", | |
| " <td>147.829360</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>3</th>\n", | |
| " <td>3</td>\n", | |
| " <td>0</td>\n", | |
| " <td>140.005226</td>\n", | |
| " </tr>\n", | |
| " <tr>\n", | |
| " <th>4</th>\n", | |
| " <td>4</td>\n", | |
| " <td>0</td>\n", | |
| " <td>148.541439</td>\n", | |
| " </tr>\n", | |
| " </tbody>\n", | |
| "</table>\n", | |
| "</div>" | |
| ], | |
| "text/plain": [ | |
| " Days Repetition Price\n", | |
| "0 0 0 126.588424\n", | |
| "1 1 0 126.860386\n", | |
| "2 2 0 147.829360\n", | |
| "3 3 0 140.005226\n", | |
| "4 4 0 148.541439" | |
| ] | |
| }, | |
| "execution_count": 13, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "df.head()" | |
| ] | |
| }, | |
| { | |
| "cell_type": "markdown", | |
| "id": "cardiovascular-joyce", | |
| "metadata": {}, | |
| "source": [ | |
| "## Data viz" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 14, | |
| "id": "loved-slovakia", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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\n", | |
| "text/plain": [ | |
| "<Figure size 1000x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<ggplot: (135549620896)>" | |
| ] | |
| }, | |
| "execution_count": 14, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "# Time-series plot\n", | |
| "plotnine.options.figure_size = (10, 4.8)\n", | |
| "(\n", | |
| " ggplot(data = df)+\n", | |
| " geom_line(aes(x = 'Days',\n", | |
| " y = 'Price',\n", | |
| " color = 'Repetition',\n", | |
| " group = 'Repetition'),\n", | |
| " size = 1.5,\n", | |
| " show_legend = False)+\n", | |
| " labs(title = 'Monte Carlo Simulation (Stock Price Data)')+\n", | |
| " xlab('Time (days)')+\n", | |
| " ylab('Stock Price (USD)')+\n", | |
| " theme_bw()\n", | |
| ")" | |
| ] | |
| }, | |
| { | |
| "cell_type": "code", | |
| "execution_count": 15, | |
| "id": "smaller-information", | |
| "metadata": {}, | |
| "outputs": [ | |
| { | |
| "data": { | |
| "image/png": 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tFi+88AJ8fHysx6VSqXX17aKe79dff73A761atYJGo7Hp/Xv37l0AgK+vb5GPb9myBUuXLkWTJk0QGxuLBQsWYODAgahWrRqmTJlSYEjwg+TH/c477xSYd+3v74/JkycjPT0d+/btA5D3PNy9excvv/xykaMLihoR8euvv6Jdu3bw8/PD77//jnr16tkUV765c+fC398f/v7+iImJwYcffoiOHTti9+7dhea6T5kyxaY6N2/ejJycHEyfPr3A6/nf+9i7dy9u3bqFMWPGICsrq8DnR4cOHeDm5lbi54et8j9fMjIyrMfu/wzJycmxvqd79uwJs9ls1+rg+XUJgoDMzEykpKQgMDAQtWvXLrZt+Pr6wmg04t69e47cEhERFYFDvonIavz48fj888+xbds27Nq1C35+ftbVeP8rPzGLiYkp9JharUZ0dHSheYvA/4a23s/X1xepqak2xXjp0iVYLBasX78e69evL7JMScOi8//Q/e8875KkpKTg3XffxbZt25CcnFzo8bS0tELHatWqZVPdD3o+w8LC4OnpWeTzWZS2bduibdu2EAQBCQkJOHToEFatWmWdX3r8+PECCXFRinqdvL29H/iYra+hrcxmMxYuXIg1a9ZYX/f7FfV82+pBz3f+lIeyeP8CKDQ/O59MJsPkyZMxefJk6PV6nD17Fr/88gs++eQTzJ8/H15eXnjrrbdKrN+ee8v/IqBJkyY2xX779m307NkT0dHROHjwINzd3W06735jxozB8OHDIRKJoFKpUKNGDQQEBBQq5+/vb33PlcTW+7hw4QIAYNKkSZg0aVKRZW7fvm3TNUuS//ni6elpPabT6TB79mx8++23Ra4hYM97+uDBg3jvvfdw9OjRAmsKACj0pVy+/PdeRVjxnoioqmBCTURWLVu2RP369bF48WKcOnUKEyZMKDbxcvQPs9KuVJyfVA0ePNg6L9Fe7u7uiIiIwMWLF6HT6WxadVsQBDz66KM4e/YsXnjhBTRv3hze3t6QSCT4+eef8cknnxRK+ADYvKJ3WfyhKxKJEBkZicjISIwYMQLt27fH0aNH8eeff6Jdu3YPPPdBr1Nxj92fKD7oPkwmUwmR53nttdfw6aefYuDAgZgyZYp1AambN29izJgxRT7ftnrQ8/2g2G259+Lkzw+2JWlSqVRo3rw5mjdvjgEDBiAmJgZffvmlTQm1LbE4UhYAfHx80KxZM2zfvh1fffUVXnrpJbvOB4Do6Gh069atxHL2rIZv633kv2fmzJmDFi1aFFnG1iS+JCdPngQA1KlTx3ps2LBh2L59O55++ml06NABfn5+kEqlOH78OKZOnWrze/qvv/5C165dERUVhTlz5iAqKgpqtRoikQgvvfQSsrOzizwvNTUVMpkMXl5epb4/IiLKw4SaiAoYP348XnnlFev/Fyd/wZuiVpTV6/WIi4tDjRo1HI6juKSmRo0aEIvF0Ov1Nv1RXpxBgwZhwYIFWLNmTbE9Vfc7c+YMTp48ienTp+O9994r8FhxKyfbI/+5Kur5vH79OjIyMgotMmQPsViMVq1a4ejRo7h586bD9dgqf9htUcmjrcPO165di/bt22Pz5s0Fjhe1V7G9X0Tc/3z36dOnwGNnzpwBgFI930WpXr26Q0Pj69atC29v7wKv24Put0aNGti9ezfOnTuHli1bFngs//2Vf2/5i+SdPHkS/fr1KzEWmUyGLVu2YMSIEXj55Zeh0+lsSvLL2v33UdQK9/nyR4wolcpSfX6UxGAwYO3atZBKpejRoweAvKHf27dvx4gRIwoteFfUe+JBr/GGDRtgMpmwc+fOQqMmUlNTi91W7PLly9ZRCkRE5BycQ01EBYwaNQozZszAJ598UuSQ0Xz+/v5o3749du/ejT///LPAYx999BG0Wi2efPJJh+PQaDS4d+9eoZ4nX19f9OnTBzt27Ch2tVpbhmy+/vrrCAoKwpQpU/Dbb78VWebvv//GRx99BOB/PZP/jefmzZv44osvSrxeSZo0aYKIiAisW7cOiYmJBR7LT+BteT537txZZG+dTqezzg21d86rIyIjIyGTyQrt43358mVs3brVpjqK6g02Go2YO3duoeP5qz/bOmS2e/fu0Gg0WLZsWYH5pGazGXPmzAFg2/NtD4lEgvbt2+PYsWOFeiKvXLlS7DzsgwcPIi0trcDr9qD7zV/l/IMPPihwnZSUFCxbtgxeXl7WbaoeffRR+Pv7Y9GiRUUOQS6qx1QqlWL9+vUYPXo0pk2bhunTp5dw52Vv0KBBUCgUmD17dpHPSf599OjRA4GBgViwYEGhPdmBvNETpZlKAABZWVkYOnQorl27hueffx7Vq1cH8L+pKP9tn1lZWfj4448L1fOg17i4z6PPPvus2M+/mzdv4vr169btuIiIyDnYQ01EBfj4+FgXwSrJ4sWL0aFDB3Tp0qXAtlkbNmxAo0aN8OqrrzocR6tWrfDTTz/h+eefR5s2bSCRSNClSxcEBARgxYoVaNeuHbp3747hw4ejWbNmEIvFSExMxI4dO9C8efMi9z++X0BAAHbs2IF+/fqhc+fO6NOnDzp37gxvb2/cvXsXBw4cwK5duzBhwgQAecM269evj/nz50Or1SImJgbx8fFYuXIloqOjS/1HuEQiwYoVK9CvXz80b94czz77LAICArBz5078/PPP6NGjB4YNG1ZiPUOHDoWnpyf69u2LmJgYKBQKXL9+HRs2bMDly5cxZsyYcumh0mg0GDduHFauXImnnnoKXbp0wbVr1/DZZ5+hQYMGOHbsWIl1DBo0CCtWrMDAgQPx6KOPIi0tDd98802RQ4F9fX1Ro0YNfPvtt4iOjkZgYCDc3Nzw2GOPFVm3p6cnFi1ahGeeeQbNmjXDuHHj4Obmhu+//x5HjhzBM888U+KweEc89dRT2LFjBw4dOlRgm6mzZ89iwIABaN++PTp16mTdUun06dNYv3495HI55s2bZy1fr149uLu7Y/ny5VCr1fDy8kJAQAC6dOmCLl26YOTIkVi3bh06d+6M/v37Q6vV4osvvsCdO3ewdu1aa7KmVquxevVqDBgwAI0aNcLTTz+N2rVr4969e/jtt9/Qq1cvvPDCC4XuQyKRYPXq1VCr1Xj//feh1+uxcOFCpz9ftgoJCcHixYvx7LPPIiYmBmPHjkVUVBRu376N3bt347XXXsPjjz8OtVqNdevW4fHHH0fdunWt+8pnZWXhypUr+OGHH/Dhhx8Wucd1UbZu3Qpvb2+YzWakp6fj9OnT2Lp1K9LT0zF+/HgsWLDAWtbd3R09e/bE+vXroVAo0LJlSyQnJ+PLL78ssB1Wvge9xgMGDMDHH3+MXr16YcKECVCr1Th06BB++eUXREdHFzmt4qeffgKQN12GiIicqJxXFSeiCuT+bbNKUtS2WYIgCOfPnxcGDx4s+Pn5CTKZTAgPDxdeffVVIT09vUC5/G2z9u/fX6iO/C1o7qfVaoVx48YJAQEBglgsLnRuWlqaMHXqVKFOnTqCQqEQ3N3dhTp16gjPPPOM8Pvvv9v2BAh52yfNnTtXaNWqleDl5SVIpVIhICBA6Nmzp7B69eoCW14lJiYKQ4YMEQICAgSlUik0atRI+PLLL4u8t6K2gbpfcduCxcbGCr179xa8vLwEuVwu1KpVS3jvvfcKbFP1IFu2bBGefvppISYmRvD29hakUqng6+srdOnSRVi9enWBbZAEofhts/57TBAe/BoWdY5WqxWeffZZwc/PT1AqlUKzZs2EH3/80a5ts6ZMmSKEh4cLcrlciIiIEN566y3hwoULRW6R9ccffwht2rQR1Gq1AKDA81vcPf38889Cx44dBY1GIygUCqFhw4bCkiVLCm3XVdR7tKS6i2IwGAR/f39h7NixBY7fvXtX+OSTT4TevXsLERERgkqlEuRyuRAZGSmMGjVKOHXqVKG6duzYITRp0kRQKBQCgAIxmM1mYdGiRUKDBg0EhUIhaDQaoXPnzsLu3buLjOv48ePCk08+Kfj7+wsymUwIDg4W+vfvLxw/ftxaprj37GuvvSYAECZNmlTkNmf57P28KW7bPEEovG1Wvn379gk9e/YUvL29BblcLoSFhQnDhw8vtMXehQsXhNGjRwuhoaGCTCYTfH19haZNmwpvvfWWcO3atRLjy38/5P/k19G8eXPhhRdeEI4dO1bkeampqcLEiROFkJAQQaFQCLVr1xbmz58v7N27t8gtsh70Gm/fvl1o1qyZoFarBW9vb+Gxxx4Tzp07V+xz17ZtW+GRRx4p8d6IiMg+IkGwc0USIiIictgnn3yCt99+G1euXEFwcLCrw6GHwJ9//omWLVti+/btxY7aICIixzChJiIiKkdGoxENGjRA165dsWzZMleHQw+BRx99FBaLpdCaBkREVHpMqImIiIiIiIgcwFW+iYiIiIiIiBzAhJqIiIiIiIjIAUyoiYiIiIiIiBzAhJqIiIiIiIjIAUyoiYiIiIiIiBzAhJqIiIiIiIjIAUyoiYiIiIiIiBwgdXUAlUF6ejp0Op2rwyAiIiIiIhdTq9Xw8vJydRhUQTChLkF6ejqWLVsGo9Ho6lCqNI1GgyZNmuDkyZPQarWuDoecQCwWW19Ti8Xi6nDICdhOqx6206qJbbXqYVutWGQyGSZPnsykmgAAIkEQBFcHUZElJSVh1apVGDBgAPz8/FwdTpUllUrh7e2Ne/fuwWQyuTocIioC2ylR5cC2SlR2UlJS8MMPP2DChAkIDg52dThUAbCH2kZ+fn5sNGVIEASYTCb4+/tDJBK5OhxyAovFglu3bqFatWoQi7lcQ1XAdlr1sJ1WTWyrVQ/bKlHFxRZJRERERERE5AAm1EREREREREQOYEJNRERERERE5IAKMYdaq9Vi2bJlOHHiBFQqFQYPHozevXsXWfbs2bP47LPPcOvWLURERODFF19EWFgYAGDfvn3YsWMHkpKSoFQq0aJFC4wdOxYqlQoAsGHDBmzevBkymcxa34wZMxATE1P2N0lERERERERVSoVIqFeuXAmz2YzVq1cjOTkZ7777LkJDQ9GwYcMC5TIzMzFnzhxMnDgRbdu2xbZt2/D+++9jxYoVkEgkyMnJwbhx41CrVi0YDAYsWLAAq1evxqRJk6x1tGnTBm+88UZ53yIRERERERFVMS4f8m0wGHDkyBGMGDECarUa0dHR6NKlC/bu3VuobGxsLIKDg9GpUyfIZDIMGDAAer0eZ8+eBQD07t0b9evXh1wuh4eHB3r06IELFy6U9y0RERERERHRQ8DlCfXNmzcBwDpsGwCioqKQmJhYqOy1a9cQGRlp/V0ikSA8PLzIskDe8PD76wWA48ePY/jw4Zg0aRK2bNkCi8XijNsgIiIiIiKih4zLh3wbDAbrHOd8bm5u0Ov1hcrq9XpoNBqbyv7+++84ePAgFi5caD3Wrl079OjRA97e3oiLi8P8+fMhFovRv3//AucmJycjOTkZAHD37l1kZ2cDAJPvMiQIAiwWCywWC/fMrCLy2wvbTdXBdlr1sJ1WTWyrVQ/bKlHF5fKEWqlUFkqIs7OzCyXZAKBSqaDT6Qoc0+l0hcqePn0aS5cuxTvvvIPg4GDr8ft7q2vUqIHBgwdj165dhRLqlStXYtasWdbfhwwZAgC4deuWnXdHRHfu3HF1CERUArZTosqBbZWo4nF5Qh0SEgIAuH79OqpXrw4AiI+PR3h4eKGyYWFh2LNnj/V3i8WChIQEDBw40Hrs77//xvz58zFlyhTUq1fvgdcu7lvbiRMnol+/fgDyeqjz53NXq1bNjjsjewiCAJPJBKlUym/TqwiLxYI7d+4gICAAYrHLZ5eQE7CdVj1sp1UT22rVw7ZacbCDjf7L5Qm1UqlE27ZtsX79erz44ou4ffs29u3bhzfffLNQ2datW2PNmjX47bff0KZNG2zfvh0qlQr169cHAJw5cwbz5s3D66+/XmiFcCBvGHhMTAzc3d0RHx+PzZs3o1u3boXKBQUFISgoCACQlJSE2NhYAOAHWBkSBAFisRhisZj/+Fcx+a8rVX5sp1UX22nVwrZadbGtElU8Lk+ogbwe4aVLl2LMmDFQq9UYPnw4GjVqBAAYPHiwda9oDw8PTJs2DZ999hmWLFmCiIgIvPPOO5BIJACAb7/9FjqdDvPmzbPW7e/vj2XLlgEADh8+jCVLlsBoNMLLywvdunUrNNybiIiIiIiIyBYVIqHWaDSYOnVqkY9t2rSpwO8NGjSwJsj/NWfOnAde5/XXX3csQCIiIiIiIqL/qBAJNVVtJpMJu3fvRkZGBvr06QNPT09Xh0RERERERFRqTKipTKWlpaF3z944ffpvqOVqvCh7CT/u2I7WrVu7OjQiIiIiIqJS4aoGVGYsFgue7P8kMq5r8fPog/hl7O/oXP1R9OnVF9euXXN1eERERERERKXChJrKzBdffIG//vwLi3qvgq+bP2QSGaZ1mo1oz5p4buJzrg6PiIiIiIioVJhQU5nQ6/WYMX0Gnmn2AoI8QqzHJWIJ3u40B7t+2YUDBw64LkAiIiIiIqJSYkJNZeKbb75Bri4XTzUaVeixKJ8a6FO3P2bPmu2CyIiIiIiIiJyDCTU5nSAIWPzJYjxZbxhUMlWRZUY3eQa/HvgVZ8+eLefoiIiIiIiInIMJNTndiRMncPbCWQyoP6TYMjX96qBpWAt8/vnn5RgZERERERGR8zChJqdbt24dmoe3RrBH6APL9as9EOvXbYDRaCynyIiIiIiIiJyHCTU5lcViwffffY9Ho/uUWLZbjV7QarOwb9++coiMiIiIiIjIuZhQk1MdP34cSbeT0CX60RLLahTuaBPREd99+105REZERERERORcTKjJqX766Sc0CGkMP7cAm8p3jeyBH7f/BLPZXMaRERERERERORcTanKqn/7vJ7Sr3tnm8u0iO+Neehr++OOPMoyKiIiIiIjI+ZhQk9OkpKTg5N8n0Sa8g83neKt80Lh6U+zYsaMMIyMiIiIiInI+JtTkNPv374e7ygP1AhrYdV6rkPbY/fMvZRQVERERERFR2WBCTU6zb98+NA9tDYlYYtd5bcI74OTfJ5CSklJGkRERERERETkfE2pymoO/HkTToBZ2n1cvoAHcVR44ePBgGURFRERERERUNphQk1PcvXsXFy5fwCMh9ifUErEEj4S0wP79+8sgMiIiIiIiorLBhJqc4siRI9AoNajlV9eh85sHtcKBfQecGxQREREREVEZYkJNThEbG4sGQU3snj+dr2loS1y8cpHzqImIiIiIqNJgQk1OcfTQUTQIaOLw+bX86kKj1ODw4cNOjIqIiIiIiKjsMKGmUjMajTh+4jgaVXM8oZaIJWgU3BSHDh1yYmRERERERERlhwk1ldq5c+egz9EjplqjUtXTKOARHD0U66SoiIiIiIiIyhYTaiq1Y8eOIdQ3DN4qn1LV0yioKU6ePgGDweCkyIiIiIiIiMoOE2oqtT///BMxfg1LXU/9ao1gNBlx8uRJJ0RFRERERERUtphQU6kd/+M46vk3KHU9bnINagbWxp9//umEqIiIiIiIiMoWE2oqldzcXJz75xzqBtR3Sn31fBvi99jfnVIXERERERFRWWJCTaVy/vx55BpzUScgxin1NajWGH/E/uGUuoiIiIiIiMqS1NUBVAYajQZSqRSCILg6lArn+PHjCPEJhafSq1T15D+zMYENEb8vHqmpqfDxKd0iZ+RagiBY2w3bTtWQ/zry9aw62E6rJrbVqodtteKQSpk+UUF8R9igSZMm8Pb2hslkcnUoFc6pU6dQ06eu0z7co31qQi5V4M8//0S3bt2cUie5jre3NywWCywWi6tDIScym82uDoGciO206mJbrVrYVisGb29vV4dAFQwTahucPHkSDRo0gL+/v6tDqXBOn/gbdX0bQyQSlaoeAQAEATKpAnWq1cWJEyfQs2dPp8RIrmGxWJCamgpfX1+IxZxdUhUIggCz2QyJRFLqNk8VA9tp1cS2WvWwrVYcd+/edXUIVMEwobaBVquFyWTiP0r/IQgCzpw9gyfaDy11XSLkJdUiAHV9G+DEXyf4fFdyIpHI2m74WlYtfE2rDrbTqo2va9XBtlpxcMQq/Re/4iKH3bhxA+mZ91DLv65T663jXx/H/zru1DqJiIiIiIicjQk1Oezs2bNQylUI9Qxzar11A2KQeCMRaWlpTq2XiIiIiIjImZhQk8POnDmDGgG1IBY5921Uw7cWZBIZTp486dR6iYiIiIiInIkJNTns79NnEO1Zy+n1yiRy1AishVOnTjm9biIiIiIiImdhQk0OO/v3WdTwrV0mddfyroeTJ06VSd1ERERERETOwISaHGI2m3Hx8j+I9qlZJvXX9quHk8c55JuIiIiIiCouJtTkkISEBBhyDIj2LZuEuo5/PVy88g8MBkOZ1E9ERERERFRaTKjJIefOnYO7yh2BmqAyqb+mXx2YzWacP3++TOonIiIiIqoMZs6cad2DXCQSwc/PD+3atcPPP//s0rgWLVpUZAydOnVC3759rb8fOHAAH3zwQaFya9asgUgkQkpKSpnGWdaYUJNDzp8/jyi/GhCJRGVSv4fSE8HeITh9+nSZ1E9EREREVFmoVCrExsYiNjYWq1atQm5uLh577DEcPXrUZTEVl1AvX74cH330kfX34hLqPn36IDY2Fl5eXmUZZpmTujoAqpwunL+AcI/oMr1GLd+6TKiJiIiI6KEnFovRqlUr6++tW7dGSEgIvv76a7Rp08aFkRVWr149m8r5+/vD39+/jKMpe+yhJoecO3MeUd41yvQaNX3q4vQJJtRERERERPcLCgqCv78/rl27Zj0WGxuLLl26wM3NDZ6enhg2bBju3LljfTwhIQEikQhff/01xo8fD09PT/j4+ODVV1+FyWQqUP+NGzcwYsQI+Pn5QaVSoUOHDjh+/Lj18YiICCQmJmLZsmXWoehr1qwBUHDI98yZMzFr1ixkZ2dby3Xq1AlA0UO+09LS8PTTT8Pf3x8qlQotWrTAL7/8UiC2/Po3b96M2rVrQ6PRoEuXLrh69apTnlt7MaEmuwmCgEuXLyLSp4wTar/a+PvMGQiCUKbXISIiIiKqTLRaLdLS0hAdnTdiNDY2Fp06dYKnpye+++47rFq1CseOHUO/fv0KnTtt2jRYLBZs2rQJb7zxBpYsWYJ33nnH+vi9e/fQrl07nDp1CkuWLMGWLVvg5uaGLl26WBP0rVu3olq1ahg4cKB1KHqfPn0KXevpp5/G+PHjCwxZX758eZH3ZDab0atXL2zduhVz5szBli1bEBgYiN69e2P//v0Fyp46dQoLFy7EvHnzsGbNGly6dAkjRoxw+PksDQ75JrslJSUhKzsLkd5lPOTbrw7S0lNx69YtBAWVzeJnRERERESVQX4vcnJyMqZOnQoPDw+89NJLAICpU6eiWbNm+OGHH6xrHNWvXx8NGjTAzz//jN69e1vriY6OxurVqwEAPXr0gE6nw8cff4wpU6bA29sbixYtQnp6Ov78808EBAQAALp27YoaNWpg4cKFmD9/Ppo0aQKFQoHAwMACQ9H/KzQ0FKGhoYWGrBdlx44d+PPPP7Fjxw5rvD179kT9+vUxa9YsdO7c2Vo2PT0dJ0+etA4ZT09PxzPPPIMbN24gNDTUrue1tNhDTXb7559/IJPIEOJZvUyvU90rAgqZEmfOnCnT6xARERERVWTZ2dmQyWSQyWQICwvDd999h3Xr1qFmzZrQ6XQ4cuQIBg0aBLPZDJPJBJPJhNq1ayMoKAjHjh0rUFf//v0L/D5gwADodDrr39y//PILOnfuDB8fH2tdEokE7du3L1SXMx06dAju7u4Fkn+xWIzBgwfj6NGjMJvN1uONGzcuMP86f972jRs3yiy+4jChJrtdvHgRYX4RkIrLdoCDVCxFdEBNJtRERERE9FBTqVQ4duwY/vjjD3zzzTcICgrCyJEjkZycjHv37sFsNuOVV16xJt35P0lJSbh+/XqBuvJ7nf/7e3JyMgAgJSUF27ZtK1TXxo0bC9XlTPfu3UNgYGCh49WqVYPRaIRWq7Ue++/K4HK5HABgMBjKLL7icMg32e2ff/5BhGfZDvfOF+1ZC2fPnC2XaxERERERVURisRjNmjUDALRo0QJ16tRBixYt8N5772HhwoUQiUSYNm0annjiiULn+vn5Ffj9/oXK7v89f4qlj48PevbsidmzZxeqS6FQOON2iuTj44Pbt28XOn7r1i3IZDJoNJoyu3ZpsIea7PbPuX8Q7hFZLteq6Vsbf5/8u1yuRURERERUGTRt2hRDhw7F6tWrkZWVhdatW+PChQto1qxZoZ+IiIgC527durXA7z/88APUajUaNGgAAOjWrRvOnz+PunXrFqorvwyQ1ytsS4+wXC5HTk5OieXatWuHrKws7Nq1y3rMYrFg8+bNaNOmDSQSSYl1uAITarLbpUuXEO5dPgl1Dd9auHDxQoE5E0RERERED7vp06fDaDRi0aJFWLBgAXbs2IGnnnoKW7duxYEDB/DNN99g9OjROHDgQIHzrl69irFjx2L37t2YO3cuPvzwQ0yePBne3t4AgFdffRUikQgdO3bEunXr8Ntvv+H777/HG2+8gU8++cRaT926dfHrr79iz549+Ouvv5CamlpknHXr1oXJZMKnn36KY8eO4eLFi0WW69OnD1q0aIGRI0fi888/x86dO9G/f39cvHgRM2fOdMpzVhaYUJNdDAYDrt28hogyXuE7Xw3f2tDn6BEfH18u1yMiIiIiqgxq166NoUOHYsWKFYiJicHhw4eh1WoxduxY9O7dG++99x7UajVq1Ci41e2cOXMgCAIGDRqE+fPnY9KkSZgzZ471cV9fX/z+++9o3LgxpkyZgkcffRSvvPIKEhIS0LJlS2u5Dz74AKGhoXjyySfRvHlz/Pjjj0XG+dhjj2HSpEmYO3cuWrZsiYkTJxZZTiKRYOfOnejXrx/eeust9O/fH8nJydixY4d17+qKSCRwk98HSkpKwqpVqzBhwgQEBwe7OhyXO3fuHOrXr48DE0/AW+Xj1LoFQbAu83//sfarGmHthq+LnBNCFZfFYsGtW7dQrVo1iMX87q4qEAQBJpMJUqm0UFulyonttGpiW6162FYrjsqcGyQkJCAyMhKbN2/GwIEDXR1OlcEWSXa5dOkSvNy8nZ5MF0ckEqGGfy2cO3euXK5HRERERERkKybUZJdLly4h3CeiXK8Z5VkTf5/mwmRERERERFSxcNssssulS5dQ3b18FiTLF+1TCz+f2VKu1yQiIiIiqkoiIiLA2b7Oxx5qssulC5cR5hlRrtes4VsLl65egslkKtfrEhERERG5kqe7O0QikVN/PN3dXX1bVQp7qMkuV65cRt+m5buIQbRvTeQac3HlyhXUqVOnXK9NREREROQqmVotNg5+AoFubk6p73Z2NoZu2uaUuigPE2qymVarxa27txBWTntQ5/NV+8PLzRvnzp1jQk1ERERED5VANzdE+Pk6pS6ZXO6Ueuh/OOSbbHblyhUAQJhXRLleVyQSIdqvJs6fP1+u1yUiIiIiInqQCtFDrdVqsWzZMpw4cQIqlQqDBw9G7969iyx79uxZfPbZZ7h16xYiIiLw4osvIiwsDACwb98+7NixA0lJSVAqlWjRogXGjh0LlUoFADAajVi1ahUOHz4MiUSCXr16Yfjw4eV2n5XdlStX4KPxhbvCo9yvHelRA+fOcussIiIiIiKqOCpED/XKlSthNpuxevVqTJ8+HevXr8fffxfeJikzMxNz5szBwIEDsXHjRrRs2RLvv/8+zGYzACAnJwfjxo3D2rVrsXjxYiQnJ2P16tXW87/77jskJCRg5cqV+Oijj/Dbb79h79695Xafld2VK1dQ3TvcJdeO8qmJs38zoSYiIiIioorD5Qm1wWDAkSNHMGLECKjVakRHR6NLly5FJrqxsbEIDg5Gp06dIJPJMGDAAOj1epw9exYA0Lt3b9SvXx9yuRweHh7o0aMHLly4YD1/7969eOqpp+Dh4YHAwED069ePCbUdrly5guoa1yTUNXxr4TJX+iYiIiIiKjPp6ekYPHgw3N3dERISguXLl7s6pArP5UO+b968CQDWYdsAEBUVhW3bthUqe+3aNURG/m9BLIlEgvDwcCQmJqJRo0aFyp89e9Zar1arRVpaWoHzIyMjsX79+kLnJScnIzk5GQBw9+5dZGdnAwAsFosDd1h1XP7nCup5NkFZ7l5XXN2R9630XatWrTKMgJwlv7087O2mKhEEARaLBRaLBSKRyNXhkBOwnVZNbKtVD9sqlZfnn38eJpMJSUlJuHLlCrp164a6deuic+fOrg6twnJ5Qm0wGKxznPO5ublBr9cXKqvX66HRaGwq+/vvv+PgwYNYuHCh9VwAUKvVJZ67cuVKzJo1y/r7kCFDAAC3bt2y9baqpMuXL6F7o8dgdkEvsbfcGx4qDxw9ehQeHuU/h5scd+fOHVeHQEQlYDslqhzYVqksZWdnY/PmzTh58iTc3d3RpEkTjBkzBl999RUT6gdweUKtVCoLJbXZ2dmFkmwAUKlU0Ol0BY7pdLpCZU+fPo2lS5finXfeQXBwsPXc/5Yv6lwAmDhxIvr16wcgr4c6f1h4tWrVHLnFKkGv1yP5TjLCfaIgkZbR20YQgAd8kx7tXwvJyckP9etQmVgsFty5cwcBAQEQi10+u4ScQBAEmEwmSKVS9npVEWynVRPbatXDtlpxVOUOtkuXLkEQBNSrV896rHHjxvj4449dGFXF5/KEOiQkBABw/fp1VK9eHQAQHx+P8PDCc3XDwsKwZ88e6+8WiwUJCQkYOHCg9djff/+N+fPnY8qUKQXeDBqNBj4+PkhISICvb94+bnFxcUVeJygoCEFBQQCApKQkxMbGAsBD/QGWmJgIAKjuGY6y+qdZAB5Yd6RHDZw/d+Ghfh0qI7FYzNesihAEwfp68o/0qoXttGphW6262FapLGm12kIjQb28vJCVleWiiCoHl7dIpVKJtm3bYv369dDpdIiPj8e+ffvQtWvXQmVbt26Nmzdv4rfffoPRaMTWrVuhUqlQv359AMCZM2cwb948vPbaa2jYsGGh87t27YrvvvsOmZmZuH37NrZv345u3bqV+T1WBVevXoVGqYG3ysdlMUT51MDZv8+67PpERERERFWVRqNBZmZmgWMZGRlwd3d3UUSVg8t7qIG8IdZLly7FmDFjoFarMXz4cOsiY4MHD8aMGTMQExMDDw8PTJs2DZ999hmWLFmCiIgIvPPOO5BIJACAb7/9FjqdDvPmzbPW7e/vj2XLlgHImwudmZmJCRMmWPehZkJtm6tXr6K6T7hLv+mO8qmBS39chNlstr7mRERERERUerVq1YJIJMKFCxdQt25dAMCpU6esnZdUtAqRUGs0GkydOrXIxzZt2lTg9wYNGlgT5P+aM2fOA68jk8kwefJkTJ482bFAH2JXr15FiCas5IJlKMqnJgw5BiQmJiIqKsqlsRARERERVSVubm4YOHAgpk+fjtWrVyMuLg5r1qwplI9RQS4f8k2Vw9VLVxHq7tqEupp7MNQKdYG9xYmIiIiIyDmWLVsGkUiEoKAg9OrVC++99x66dOni6rAqtArRQ00V39WrcWga3s6lMYhEIkT518T58+fRp08fl8ZCRERERFTVeHl5YfPmza4Oo1JhDzWVyGKxIPF6AkI9XdtDDQARHtE4f/68q8MgIiIiIiJiQk0lS0pKQk5uDqp7Fd5irLxFedfAub+ZUBMRERERkesxoaYSxcXFQSKWIFAT5OpQEOVTAxcv/QNBEFwdChERERERPeSYUFOJ4uLiEOwdAplE5upQEOlTA5naTCQlJbk6FCIiIiIieshxUTIqUVxcHEI8XD9/GgBCPcMgl8px4cIFhISEuDocIiIiIqIydTs7GzK53Dl1ZWmdUg/9DxNqKlHc1XgEu4W6OgwAgFQsRaR/NC5cuIBu3bq5OhwiIiIiojLjodFg6KZtTq+TnIcJNZXo6uWraOHh2i2z7hfhEY1z5865OgwiIiIiojKVkZXl6hCoBJxDTSWKj49DsGd1V4dhFeVdA+fPcKVvIiIiIiJyLSbU9EB6vR63U25XiD2o80X61MCFf/5xdRhERERERPSQY0JND5SQkAAACPGoQD3UPjWQknYXKSkprg6FiIiIiKjMeHq4QyQSOfXH08Pd1bdVpXAONT1QXFwc1Ao1vFU+rg7FKtwrEmKRGBcuXED79u1dHQ4RERERUZnIzNJi4/wnEOjr5pT6bqdmY+ib25xSF+VhQk0PFB8fj1DvMIhEIleHYiWXKhDmF8GEmoiIiIiqvEBfN0SE+DqlLpnMOdtv0f9wyDc9UHx8PELcK85w73xRXjVw/jwXJiMiIiIiItdhDzU9UNyVOAS5hbg6DACAIAgwGAzIyc1BkDIUvx/9A4IgVKjecyIiIiIieniwh5oeKO5qfIVYkCwjIwNxcXG4dv060lJS4Svxw4njx1GnZk1s3brV1eEREREREdFDiAk1PVDCtQSEuHAPaovFgps3b+L27dvwkMsQ4eWJ6h7uaFatHowWI9p5e+CpwYPx9PjxMBqNLouTiIiIiKgyW7p0KZo1awaFQoEhQ4a4OpxKg0O+qVj37t1DZlaGy3qoLRYLrl+/DrPRiFBPD8jE//v+J8IjAgDQr25tPFGvDp7Z8j1uJSfjh23bIJdzsQUiIiIiInsEBwfjnXfewd69e7k9rR3YQ03Fyt+DOtgjtNyvLQgCkpKSYDYZEezhXiCZBgC1TI0gN39cSU1Dw6BAbB7yJI4fPYrx48ZBEIRyj5eIiIiIqDIbMGAAnnjiCfj5+bk6lEqFCTUVKz4+Hl5u3tAoyn/z95SUFBj0egRpNJAUs+hYpGcULqemAgDCvDzx1YC++OH7zfj000/LM1QiIiIiInpIMaGmYiUkJCDEq/yHe+t0OqTdu4cANzdIxcW/RSM9onH5brr193oB/vigexe8+cYbOHXqVNkHSkREREREDzUm1FSs+Ph4BGvKd7i3xWLBrVu34KlQQCV78BT/SM9IXE69V+DYEzF10Kt2TYweOYKLlBERERERUZliQk3Fir9S/gl1aloqBIsF3ipliWWjPCNxI+MeDEZTgeMzu3TAjYQELFmypKzCJCIiIiIiYkJNxYuPTyjXFb6NRiPupd2Dr0oFcTHzpu8X6RkJAQKupqUVOO6jVuGNtq0w8913cfv27bIKl4iIiIioyjCZTDAYDDCZTLBYLDAYDBzxaQMm1FQkQRBw7Xpiua7wnZKSAoVUCje5zKby7nJ3+Kt9cDklrdBjgxvGoLqHO2bOnOnkKImIiIiIqp73338fKpUKc+bMwebNm6FSqfDMM8+4OqwKjwk1FSk1NRVanRYhnuXTQ52Tk4OsrCz42DDU+35RnpG4lJJa6LhELMab7Vrhi88/R1xcnLPCJCIiIiKqkmbOnAlBEAr8rFmzxtVhVXhMqKlI+XtQB7mHlMv1UlNToZbLoJQ+eCGy/4r0qIErKfeKfKxjZDiahAZj9nvvOSNEIiIiIiKiAuzLXh5SGo0GUqkUgiC4OpRyExcXB193P6hkqjK/Vm5uLrKyshDsYf9+15Gekfjj8r4iHxOJRHixZTOM/eYbzJw1C2FhYaUNlewgCIK13TxMbacqy38d+XpWHWynVRPbatXDtlpxSO3s/KGqj+8IGzRp0gTe3t4wmUwlF64i4uLiEOIZWi4f2mlpaVDK7O+dBoBozygkpqfCYDRCUcT5bcOrIyYoEAsWLMAnn3zijHDJDt7e3rBYLLBYLK4OhZzIbDa7OgRyIrbTqotttWphW60YvL29XR0CVTBMqG1w8uRJNGjQAP7+/q4Opdxcu3YNQW6hENmw2nZpmM1mZGZmIkDj5tD5kZ6RsAgC4u6lo15A4ddHJBJhQtPGePOrrzBr1iz4+PiUNmSykcViQWpqKnx9fSEWc3ZJVSAIAsxmMyQSSZl/NlD5YDutmthWqx621Yrj7t27rg6BKhgm1DbQarUwmUwP1T9KCVcTEKQp+yHS6RkZkIrFcJPZtrL3f3kqPOGn8sbllNQiE2oA6FGrBuYeisVXX32FN954ozThkh1EIpG13TxMbedhwNe06mA7rdr4ulYdbKsVhytGrN5OzYZMJndOXSlap9RD/8OEmoqUEJ+AR0LblOk1BADp9+7BU6EoVT1RnlFFbp2VTyoWY1TD+li6+FO8+uqrkEgkpboeEREREVF58HDXYOib25xeJzkPx4xQIYIgILEc9qDO1mphNpvhrijdN25RnjVw6e7/EmqTxYLjN5Ow459LOH4zCSaLBYMbxuDO7TvYuXNnacMmIiIiIioXGZlZhbayKu1PRmaWq2+rSmEPNRWSkpICnUGH4DLegzojIx1ucjnEpRy6FOUZhd8v7QUA/HjhIubuP4Jb2iz4KDVIM2gR4KbBax1aoU+dmli+dCn69u3rjPCJiIiIiOghx4SaCimPPahNJhO02ToEO2HISdS/K33P3HMA60+dwXP1e2FUrU7wVLghIycb3145jOm7d6BlWAgO/vILrl27xi20iIiIiKjC279/P3Q6nVPrVKvV6Ny5s1PrfJgxoaZCEhIS4OvuW6Z7UGdmZkImFju0VdZ/RXtFQQCw6e/z+LrrS2geUNP6mKfCDRNjeqBDcAye3r8E7goFVq9ejRkzZpT6ukREREREZenxJ/ohK9O5C4m5e2iQmcFh387ChJoKSUhIQIhn2fbgZmRkQFPKudP5jt36CyKI8FGb8QWS6fvV9Q7Fum6vYNDu+fjko48wffp0bjtBRERERBVaVqYWn258AkGhztn/+u5tLSYP3OyUuigPE2oqJDExEUFuZTfc22AwIDc3F9XUnqWuK1Wfijl/zMH42j3xiF+NB5aN8qiGJe0nYMy+xZg3bx6mTZtW6usTEREREZUlv0A3BIa4uzoMKga76KiQ+CvxCNKUXUKdmZkJpUwGqRN6iBedWIRQNz+Mrt0DuSZLieXbVKuDcXW64/33ZuP27dulvj4RERERET28mFBTIfHxCWW2ZZYAICsrCxq5rNR1nUk5g10Jv2BG09FQS1XINZttOu/ZmJ4IUnjh+UmTSx0DERERERE9vJhQUwGCIOBaGe5BrdfpYDab4SYv3fxpQRCw9ORS9AlrjYa+0ZCJZTBZLLAIJfdSeyqVeKPhIPyw9Qfs27evVHEQEREREdHDiwk1FZCWloZsfTaCPMpmyHdWVhZUMikkpdx7+vjt4zh19zRebPAkAEAmyevxNppLTqhFEKGRXzj6RbXBS8+/CJPJVKpYiIiIiIgqu5ycHDz99NOIjIyEu7s7YmJisH79eleHVeExoaYC8vegLose6vzh3m6y0q/uvfrcavQNa4MwTSCAvCRZJpbYPOzbTS7HsIhOuJaQiK+//rrU8RARERERVWYmkwnBwcHYt28fMjIysHLlSkyaNAmxsbGuDq1CY0JNBeTvQa2WqZ1et16ng8VigVsp509fTLuEP24dw/g6fQocl0nkNifUKpkUPkoNxsb0xIzp78JgMJQqJiIiIiKiyszNzQ3vvfceoqKiIBaL0a5dO7Rt2xZHjx51dWgVGhNqKiAhIQFBnmUzfzpLmzfcW1zK4d7fXvwWbas1RC2v6gWOy8W2J9QiiKCWydAvrCVytHqsWrWqVDEREREREVUl2dnZ+Ouvv1C/fn1Xh1KhMaGmAhISEspkD2oBgDZLC7WsdL3T6Tnp2J2wGyNqdi/0mEwi+zehFmyqy00uhyXHjAmN+mLunA/YS01EREREhLwFgMeOHYsWLVrg0UcfdXU4FRoTaiog/mp8mSTUOQYDTCZTqVf33hH3M3yVnuhQrVGhx+RiGcwWAWaLbQm1SiaFSAQ8HtUWuToDvvrqq1LFRkRERERU2QmCgGeffRY3b97Ed999B1EpR5dWdUyoqYCE+LLZMkur1UIpk5VqdW9BELDtylYMiuoIibjwW1cqlkEkgt3Dvs2GXIxr2Bvz530Io9HocHxERERERJWZIAiYPHkyTp48iZ07d8LNzc3VIVV4TKjJqiz3oM7KyoJaJi1VHedSzyEh8xr6R3YotoxcLLM5oQYAN5kM2dnZGNmwB1LvpmDz5s2lipGIiIiIqLJ6/vnn8fvvv2P37t3w8PBwdTiVAhNqsrp37x6ysrOcnlDnGo3Izc0t9XZZP8XtQOvA+ghS+xZbRiaRI8eOhFotk0EQBEjNIgyN6Yb5cz+EINg2ZJyIiIiIqKpITEzE8uXLcf78eVSvXh0ajQYajQYffPCBq0Or0ErXZUhVSmJiIgAg2MO5c6iztVrIJBLIJI5/f2M0G7EncQ+mNRn2wHJysRxao+2Li4lEecO+tVotxjbuja9WT8aBAwfQuXNnh2MlIiIiIqpswsPD2bHkAPZQk1VCQgK83LzhJtc4tV6ttvSrex9NjkWO2YBuIc0eWE4mkcFoMUOwcaVvIK+XWpulRbC7H/rUaoOPFiwsVaxERERERPRwYEJNVgkJCQj2dG7vtMVigV6vh1peuoT6l4Rf0CX4EbjJlA8sJxfLIQiA0Z5h33IZTGYzDAYDxjXujZ937cSVK1dKFS8REREREVV9TKjJKjExEcGa6k6tM1ung0gEKKWOzy4wmAw4ePMgeoe1KrGsWCSGVCyxax61RCSGUiaFVqtF42o10SSkNpYsWeJwvFSxXLp0CTNnzkT7Tp0QGh6OoNBQNG7WDBMnTsSOHTu4sjsREREROYwJNVnFX41HNbdgp9aZrdVCJZWhNLvXHU2KhRgitA9qaFN5uUSGXJPtCTUAqGVSZGu1AIDR9Xtg9ZdfISsry+5YqeK4efMmBj/1FGrXro3Pt2xFbt0GiJn8Ehq/8ibcuzyKA/HXMGDgIERERWHFihUwmUyuDpmIiIiIKhkuSkZW8XEJ6OXfxKl1Zmdnw1uhKFUde6/tRefgJlBIbFslXCZWINecbdc11DIZ0nRZMJlM6FWzFeYcXYe1a9di8uTJjoRMLrZ9+3aMHD0aHpHReOq7HxDU+JEiyxkyM3D2u414/a1pWLJ8Ob75+ms88kjRZYmIiIhcIeW2fX/XllddlIcJNVldu34NIdHO2zIrJycHJpMJKo3jG8LnmHNw+OZhzGs5weZz5BIZsnLNAATAxr5xuUQCqUSM7OxseHp6Ykjdrlj66RJMmjQJIlFp+tepvC1duhQvvfwyWk5+Cc2fnQyxRFJsWaWHJ5o98yxinhyMQ/Nmo2WrVvho4UK88MILfN2JiIjI5cpi1e0Xhzi9yodahUiotVotli1bhhMnTkClUmHw4MHo3bt3kWXPnj2Lzz77DLdu3UJERARefPFFhIWFAcibA/zVV1/hypUryMrKwvfffw+5/H+9mhs2bMDmzZshu2/F6RkzZiAmJqZsb7ASyMjIQEZWulP3oM7OzoZcKoVU7PjMgmO3jsEimNG+mm3DvYG8hcksggCTxQKpuPhkqiAR1P/Oo/b09MSwBt2w7KsfuIVWJbNixQq89PLLeHT+x6jT93Gbz1P5+ODR+Z8grF1HvDFlKo6fOIkvPl9V4LOCiIiIiOi/KsQc6pUrV8JsNmP16tWYPn061q9fj7///rtQuczMTMyZMwcDBw7Exo0b0bJlS7z//vsw/7sAlUQiQdu2bfHyyy8Xe602bdpg06ZN1h8m03kSEhIAAEFO3IM6OzsbqlIsRgYA+68fQNtqDaGS2j5sXCqWQiwS2bUwGZA37Fun00EQBFTT+KJHzZZYvnSZnRGTq2zfvh3Pv/ACHp33kV3J9P3q9HsCAzdsxradO9G7b19kZ3NYFBEREREVz+U91AaDAUeOHMGiRYugVqsRHR2NLl26YO/evWjYsGCvZGxsLIKDg9GpUycAwIABA7B9+3acPXsWjRo1QmhoKEJDQ3H79m0X3EnllpCQAE+1F9wVHk6pL3+7LE+N43tamy1mHLxxEG82Gmz3uXKJHLkmM9zs6GBUSWUQBCFvmy+1GiPqP4qR22YjKSkJwcHOXayNnOvixYsYOnw4Wr3wCur0e6JUdQXE1MeTG7/H9nEj0aNXL+z6+WdoSvE+JiIiInLU/v37odPpnFqnWq3mCEwncnlCffPmTQCwDtsGgKioKGzbtq1Q2WvXriEyMtL6u0QiQXh4OBITE9GoUSObrnf8+HEMHz4cnp6e6Nq1K/r37w9xKYYkVxUJCQkI9nJe77RerwcAKGWOv8XOpp5DRm4mOgXbv1CaXCxHjtlg1zkikQgqmQxabTbUajVah8Yg0icYX375JaZPn253DFQ+cnJyMHDwYAS3bI3mzzpnETnP0Orov+47bBs9FL379sXunTuhUqmcUjcRERGRrfo90Q/aTK1T69R4aJCVwd1snMXlCbXBYCj0h6qbm5s1IbufXq8v1FNUXNmitGvXDj169IC3tzfi4uIwf/58iMVi9O/fv0C55ORkJCcnAwDu3r1rHfZpsVhsvq/KJj4+HkFuoXDWsgfZ2dlQyaSl2i7r4I2DeMSvNrwV7nafK5fIocuxf7iuSipFVrYWgD9EIhGG1+uGlcs/w5QpUyAt5fD1h01+eynrdjNz5kxcu3UbQ1d97dSFxDSBgXji6w34YfhgPDlwELZt/eGhfw8IggCLxQKLxcJF26qI8mqnVL7YVqsettWHlzZTi5Ebn4B3qLdT6su6rcXqgZudUhflcflfh0qlslBCnJ2dXWRvkEqlKjTkQafT2dxzdH8veI0aNTB48GDs2rWrUEK9cuVKzJo1y/r7kCF5S+HdunXLputURv+c/wfV1EEwO2kv3uzsbGik0lIl6IduHsSTEa0dOlcukcNkscBsMUNixwgElUyKVJ0eBoMBUqkUj9dqhw+PbsD69evRo0cPh2J52N25c6fM6j537hzmL1iAXp8uh8zd3el7SSt9/dBn1WpsHTEYo0aPxkcLF/KPU6qSyrKdEpHzsK0+nDSBbvAMsb+DicqHyxPqkJC8YcbXr19H9erVAeT1loaHhxcqGxYWhj179lh/t1gsSEhIwMCBAx26dnF/GE+cOBH9+vUDkNdDvXfvXgBAtWrVHLpOZZCcdAsNfFtA4oQeOLPJhNzcXKhVHg73UN/Iuom4jAR0Dp7k0PkysQwiEZBjtkBt80rf/9s+y2DIgZeXEj5ST/Sr3Q7frt+A0aNHOxTLw8piseDOnTsICAgok2kVFosFTzz5JGo+2hM1u5fdlx2+UdF4bNUabBkxGDH16uHtt98us2tVdIIgwGQyQSqV8ouFKqKs2ym5Bttq1cO2WnFU5Q42cozLE2qlUom2bdti/fr1ePHFF3H79m3s27cPb775ZqGyrVu3xpo1a/Dbb7+hTZs22L59O1QqFerXrw8g7x8Qo9EIo9EIANb/5m+d9fvvvyMmJgbu7u6Ij4/H5s2b0a1bt0LXCQoKQlBQEAAgKSkJsbGxAFClP8ASryUiNKp6qYZo59PpdJCIxZA/YP/fkhy+eRjVNdUQ6R7kcB1ysRy5ZhPUdm19JIJaKoUuOxteXp4AgOH1u+Pxb6ciPj4e0dHRDsfzsBKLxWXSdjZs2IDTp//GyF37nF73fwXWb4CenyzFzMkTUKdOHQwaNKjMr1kRCYJgfT35R3rVUlbtlFyDbbXqYlslqngqRIucOHEiAGDMmDGYNWsWhg8fbl1kbPDgwTh37hwAwMPDA9OmTcOmTZswdOhQxMbG4p133oHk38Ttzp07GDhwICZNyuvVHDp0aIHe68OHD+PZZ5/F4MGDMXfuXHTp0qXQcO+HUXp6ulP3oM6fP10ah28eQuegRqX6Q0AukSPHZN/WWQCgksmg02VD+He8esPAaDQIroGVK1c6HAs5l16vx5S33sIjT0+AezXHv3SxR1Tnrmj7+lSMHD0aJ0+eLJdrEhEREVHF5vIeagDQaDSYOnVqkY9t2rSpwO8NGjTAsmVF7w0cGBiI7du3F3ud119/3fEgq7DExEQAQJC7c1b51ul08FbYvm/0f+lNehy/cxJP1361VHEoJAqk59i/zYBKJoVFEP5dME8JkUiEYXW74uMvv8Ls2bOhKMW9kXMsX74cWTk5aDpuQrle95GxTyPt4j/o98QTOHn8OPz8/Mr1+kRERERlacKECdixYweysrLg4+ODCRMmYNq0aa4Oq0KrED3U5FoJCQnwUHvCQ+lZ6rpyc3NhMplK1UN97NZfkIrEaOFfp1SxWBcmE+xbEVMsEkMhlUKn+98q4Y/XaQ+D3oAffvihVDFR6Wm1WsyZOw9NJ06GTK0u12uLRCJ0njUHFk9vDHrqKZjN9o+AICIiIqqoXn75ZVy5cgWZmZk4dOgQvvnmG2zezFXBH4QJNSEhIQEhXs4Z7q3T6SCTSCAtxfyeIzePoHVgfcgl9sx9LkwmlkEsEjk27FsqRbb2fwm1WqbEgNodsHxJ0aMjqPwsX74cFpkM9QcPccn1pUolei5ejmMnT+Gdd95xSQxEREREZaFevXoFdlASi8W4fPmyCyOq+JhQExISEhDk5pzh3tk6HZSl6J0WBAFHko6gQ1BDp8Qjl8iQ48BWSiqZFIYcQ4H9Hoc3eBSHY4/g7NmzTomN7KfX67Hgo4/R5OmJkCqULovDIzgEj370KeYvWICffvrJZXEQEREROdtbb70FNzc3hIWFQavVYsSIEa4OqUJjQk2IvxqPYE3pe6gFAHqdDqpSbL0VnxmPW7rbaB/UqNTxAIBcrHCoh1r571Yj9+97Xsu3OlqExWDFihVOiY3st3btWhhMRsQMfMrVoSC8bXu0mPQCho8ciYSEBFeHQ0REROQUc+fOhVarxZ9//okRI0bA29vb1SFVaEyoCfFxCU5Z4Ts3Jwdmsxkqu7apKuhoUiyiPEIQ4uacxZ4UEgVyzCbkpfv2EOUN+87OLnB0eL3uWPf1Wmi1WqfER7azWCz4cOFC1B8+GrL7hiK5UovnXoBvTAMMHDwYubm5rg6HiIiIyClEIhGaN28OhUKBmTNnujqcCs2hhHrgwIHYtWsXBMHeJIUqosRriU5JqHU6HeRSKSSl2Orq6M0j6FDNOcO9gbyFycwWASaLfQuTAXnDvnXZBVcJ71mjJRRiGTZs2OCsEMlGP/30E27cuIGGwyrOsCOxRIJu8z/G5YREvPXWW64Oh4iIiMipTCYTrly54uowKjSHEuqkpCT07t0bYWFhePfddxEfH+/suKicOHMPap1OB6VU4vD5epMeJ++eRnsnzZ8GAKlYColYDIMj86ilMuQajTAa/3euQirDU3U7Y/mSZfxCqZx9/OmnqN33cah9fF0dSgFufv7ovnARFn36KXbs2OHqcIiIiIgckpGRgXXr1iEzMxMWiwVHjhzBihUr0K1bN1eHVqE5lFAfPXoUFy5cwNChQ/HFF1+gZs2a6Nq1KzZu3IicnBxnx0hlyFl7UAvIS6hVUseHe//173ZZzUu5XdZ/KSRyh+ZRyyRiSCXiAvOoAWBo/e44c/4sYmNjnRUileDChQv47ddf0WjkaFeHUqTqrdqg+bOTMWL0aNy8edPV4RARERHZTSQSYc2aNQgPD4enpyfGjx+P1157Dc8//7yrQ6vQHJ5DXbt2bcyfPx/Xr1/Hli1b4O7ujjFjxiAoKAgvvPACTp065cQwqazEx8c7ZQ/qnJwcWCyWUq3wfTQpFi0DY0q9XdZ/ycUKh3qo8+dR378fNQCEevija3QzLF2yxDkBUomWL1+O6k2bw79OPVeHUqyWk16Ee2QUho0Ywf2piYiIqNLx8PDAvn37cO/ePWRlZeGff/7BlClTICrFdM6HQakXJZNIJHjssccwduxYNG/eHOnp6Vi9ejWaNm2Kjh074tKlS86Ik8pIQkICQr2ql7oevRPmT8cmx6JdtfqljuW/FBIFcs1mCHYvTFb0PGoAGFn/UWzZ8gNu377tjBDpAXQ6Hb5etw71nhrm6lAeSCyVovuCRfjr5EnMmzfP1eEQERERUTkoVUJ98eJFTJkyBSEhIRg8eDACAgKwY8cOZGZmYs+ePcjOzua+ZRVcfHw8gjWlT6hLO3/6etZ13NDeRAcnbZd1P4VEAQhwbD9qqQwmsxk5OQVXcG4X1hChnv74/PPPnRUmFWPz5s2wiMSo2bOXq0MpkUdwCLq8/yFmzJyJ33//3dXhEBEREVEZcyih/uqrr9C2bVvUq1cPW7ZswUsvvYRr167hhx9+QK9evSAWi9GlSxd8/PHHOHHihLNjJieKvxqPIE3p50/rdTooS7H/9NGkWFTXVEOYJrBUsRRFJBJBJpE5NI9aIhZDLpUUGvYtFokxIuZRrFi2HEaj0VmhUhFWfvEFavV7HFKF0tWh2KTGoz0R8+RgPDV0KDIyMlwdDhERERGVIYcS6kmTJiEsLAx79uzBlStXMHXqVAQGFk6EatasienTp5c6SCo78XEJCPEoXQ91bk4OzBZLqfafjk066tTtsv5LIXF0HjWglEoLLUwGAAPrdUL6vXRs27atlNFRcS5fvozYw4dR78nBrg7FLu2nvgO9RIrnJk1ydShEREREVIYc6lK8efMmfH1L3romKCgIM2bMcOQSVA4EQUDitQQE1yzdllk6nQ6yUsyfzjHn4K/bJzC8zeRSxfEgCokC93Kykdefbl+cKqkUd3U6CAJw/y16KNwwoE4HLFm0GIMGDXJqvJTn66+/RnD9BhV6MbKiyNRqdP/oU2wa3B+9e/Xi1BciIiJymPZ2dsmFXFAX5XEooW7evDm2bt2KRo0Kz3c9e/Ys+vXrh7i4uFIHR2UrLS0NWdlZCPEsXQ+1Tl+6+dMn75yCWTChhX/dUsXxIEqJEmaLAKPFApnYvlhVMiksFgE5OQYolQWHHY9u2BPd172C06dPF9keyHEWiwVfff01ao0e7+pQHBJQNwZtXnsTz06ahDZt2iAqKsrVIREREVElIwj2L6pbkrVDnF7lQ82hId8JCQnF7jet0+lw/fr1UgVF5SM+Ph4AEOxRuh5qvU4PVSnmT8cmxaKZf124ycpujqxELIFULIHBaP+wb7FIDIVUUuSw75q+1dE+sjE+XfSpM8Kk+xw8eBB3bt1C7b79XB2Kw5qMGofAxo9gyLBhMDk45YCIiIiIKi6bE2qDwYC0tDSkpqYCADIzM5GWllbgJykpCdu2bUNwcHCZBUzOEx8fD193X6hlaofryMnNhdlsLtWCZLHJR9G+WgOHz7dVaeZRq6RSZGcXPURmTIOe2LBhPVJSUkoTHv3H2nXrENm+I9Q+JU8vqahEYjG6frAAFy5fxqxZs1wdDhERERE5mc1Z0Icffoj33nsPQN6qyT169Ci27MyZM0sdGJW9+Ph4hHiFlaoOvU4HmUQCqdixHdhuZd9CXEYCOgQ9V6o4bKGQKJFlTHfoXKVMhszsbAiCUGhz+86RjyDI3Q8rV67E22+/7YRIyWAw4PstW9BuxmxXh1JqbgEB6DJnPj54fiJ69OiBdu3auTokIiIiqiT2799f5CjJ0lCr1ejcubNT63yY2ZxQP/HEE4iIiIAgCBg3bhzeeecdREdHFygjl8tRt25dNG7c2NlxUhmIj49HkLp0W2bp9fpS9U4fSTqKILUfoj3KflSDUqpAmsECk8Vi9xcASqkUgiDAYDBApVIVeEwsEmN0/R5YtmQp3njjDcjlcmeG/VDatWsXco1GRHXp7upQnCKqSzc0eGoYhg4fjjOnT8PLy8vVIREREVEl0O+Jx6HNzHJqnRoPd2RlZDq1zoeZzZlQo0aNrIsuiUQi9OnTB35+fmUWGJW9uMtxCHEv3UJJOp0O3gqFw+cfTTqK9tUaFur1LQsysQwSsRgGkxEauX0xi0UiKP7dPuu/CTUADIrpgo//3ITvv/8ew4YNc1bID631GzYgqmt3yIp4riur9lPexqZjf+DZ557Dxg0byuU9T0RERJWbNjMLT2x8C96h/s6p7/Y9bB5Y+UcAViQOdS2OHj3a2XGQC8THxaNlVCeHzzcajTCZTFBq3Bw6P9eci2O3jmFBq2cdjsFeCokCeqPJ7oQayJtHrcvOLnLLOI1chcF1O+PjBR9h6NChTJZKQavV4seffkKPj5e4OhSnkiqV6L5wEb4b9AS++eYbjBw50tUhERERUSXgFugF9xB2ZFZUNifUDRs2xIYNG1C/fn00bNjwgWVFIhFOnz5d6uCo7FgsFiTeSERIY8e3zNLr9ZCIxZA5OH/61N1TyLUY0TKg/PYYVkqUyDJmOHauTIr0LC0sFgFiceGEeUyj3uj49fM4fPgw2rdvX9pQH1o7duyAWCZDWLuq9xz616mHNq+9iecmT0bbtm25lRYRERFRJWdzQt20aVO4ueX1RD7yyCPsgavkkpOTkWvMLdUe1DqdDkpZKeZP3zyK5v51oZGV37BepVSJNMM9mCxmSO3cjzp/rrjBoIdaXXhl9OqeAehZsxU+XvgRE+pS+HbTJkR16Q6pA6MIKoMmo8bh+qGDGDJsGI4ePgxpKdYgICIiIiLXsvkvudWrV1v/f82aNWURC5Wj+Ph4iEQiBLk7vhiYXq+He6kWJDuMIVHlm3jmz6PWm0xwl9uXUIsggvLfedRFJdQAML5RHwzc/A6uXLmCGjVqOCPkh0p2djZ27tyJnouWuTqUMiMSi9Ft7kJsfLwn3nvvPevuCUREREQVRWpqKmrXro0aNWrg999/d3U4FZpjY3WLkZub68zqqAzFx8ejmlcwZBLHVqQ2m83Izc11uIf6etZ1JGReQ6fgJg6dXxpKiRJ6o2P7USv/nUddnKbBtdEkpDYWLVrkYHQPt507d0IslaJ6m7auDqVM5W+lNeeDD3DkyBFXh0NERERUwGuvvYYGDRq4OoxKwaGEet26dViy5H8LBp09exY1a9aEWq1Gp06dcOfOHacFSGUjPj4eoaUY7q3X6yEWi6CQ2NfLm+/QzcOIcA9GhHs1h2NwlEqqgt5oBCDYf65MCkNODiwWS7FlxjfsjdVffoW0tLRSRPlw2vz994jo3LXKDve+X/5WWkOGDUN6erqrwyEiIiICABw4cABXr17FqFGjXB1KpeBQQr1gwQKI71uI6oUXXoBcLseiRYuQnJyMadOmOS1AKhtxV+MQ5Bbq8Pm6Uu4/fejGQXQMevDidmVFKVXCbBGQazbbfa7i33vW6/XFlulRoyX81F5YuXKlwzE+jAwGA37asQPR3Xu6OpRy0+7NachVKPHsc89BEOz/goeIiIjImXJycvD8889j+fLlXDPLRg4l1AkJCahXL29l5pSUFBw6dAgfffQRnn/+ebz33nvYvXu3U4Mk57t6OQ6hHmEOn6/X6RxOqLW5Wpy8cwqdgx9x+PqlIRFJIJdIHRr2nTePWgadTldsGalYgrENemLxok+Rk5NTmlAfKvv27YPJZEZ4+46uDqXcyFQqdF+4CFt++AHffPONq8MhIiKih9zcuXPRo0cPDve2g0MZkVgsts6X3r9/P2QyGTp37gwACAoKQkpKivMirAA0Gg2kUmmV6kFKSIhHr4YDHDrXYrEgJycH3u4ah84/mhQLtVSJpv61HDrfGZQSFXRGPTyVSrvPVckkD0yoAWBwTBcsOrYZGzZswJgxYxyMsnITBMHabmxpOz9s3Yrw9h0gU5Xfqu8VQf5WWs9OmoQ2bdpU6K208l/HqvRZ+LCzt51S5cC2WvWwrVYcVXl3jsuXL2PdunXc/thODr0jGjVqhOXLlyM0NBSLFy9Gly5doFDkzXm8du0aAgMDnRqkqzVp0gTe3t4wmRxbyKqiycnJwc1bNxHSrrpDH8p6Q95wZ6WD86d/u/EbOgQ1gkzsug8klVSFLH0WBEGAvaNZlFIp7mVpYTabC0x9uJ9apsTwmO5Y8OF8DB8+/KEdMuPt7Q2LxfLAOedA3iJ327ZvR9NXpzyUfyg0HjkW1w8fwpBhw/Dbv19SVmRmB6ZLUMVlazulyodttWphW60YvL29XR1CmTly5Ahu3ryJiIgIAHk5g8FggJ+fH+Li4uDh4eHaACsohzKaDz74AH379kXDhg3h7u6OvXv3Wh/bunUrWrRo4bQAK4KTJ0+iQYMG8Pf3d3UoThEXFwdBEFDdK8yhRM+gN0AhlTp0rtFsxJGkI5jdbKzd5zqTQqqACCLoTUaoZfatdK6QSiECoNcboNG4FVtuTOPe+GL1T9izZw969+5dyogrH4vFgtTUVPj6+hb7xUO+P/74A/dSUxHVuetD+eWDSCJBt7kLsPHxXvhg7lzMrqBbaQmCALPZDIlE8lC+TlWRPe2UKg+21aqHbbXiuHv3rqtDKDODBw9Gt27drL9v3rwZ69atw/bt2+Hu7u7CyCo2hxLqtm3b4tq1a7h06RKio6Ph5eVlfWz8+PFVbv9drVYLk8lUZf5Rio+Ph1Kugq/asS8IdDqdw6t7H79zHDnmHLQPauTQ+c6SNxdaAZ3R/oRaBBGUMhn0et0DE+oAN288UacDPpq/EH369CltyJWOSCSytpuS2s6PP/6IsGbNoarC3/qWxM0/byutuZMnoGePHmjXrp2rQyqWLa8pVQ72tFOqfPi6Vh1sqxVHVRmxWhS1Wg21Wm393dvbG3K5HKGhji9k/DBw+Csud3d3NG3atEAyDQC9e/dGrVqumxtLJYuLi0N1H8d6pwXkrcbs6P7TB67/htaB9aGRuX6erEqihi7XBEe2z1JKJQ/cjzrfM036Yv/BAzhx4oQDET48fvi//0N4l+6uDsPlojp3RcMhw7mVFhEREbncmDFj8Pvvv7s6jArP4Ums//zzD3744QfcuHEDBoOhwGMikQhffvllqYOjshEXF4cQd8f2oM75dw9mR1b4NlvMOHB9P15u4NhiaM6mkqmQakhDrtkMucS++1FJZUjTZVmH1BWnpm91dIluhgXzF2DjtxtLG3KVdOnSJVy5eBHtunQrufBDoN2b07Dp2B+Y+Oyz+HbjRvZEEBEREVVgDiXU69atw9ixYyGXy1G9enXI5QWHzPIPwIrt6uWrCHZwD2q9Xg+ZVAKJA6/x3yl/415OOrqGNHXo2s6Wt32WDNm5RshV9jUFhVQCsVgEvV4PjebBq50/07gvRnw/G/MS5yE8PLw0IVdJP/74IwKia8ArPMLVoVQIUqUS3RcswneDHse6deswatQoV4dERERERMVwaMj37Nmz0b9/f9y5cwcXL17EmTNnCvz8/fffzo6TnOjq5asI9XQssdPrdFDa2Zubb2/iPrQIiIG3ouIsaqCWqqEzGh04UwSlVFri9lkA0Co0BjGBUfjkk08cuE7Vt3X7dlTv1NXVYVQo/nXqos1rU/Dc5Mm4evWqq8MhIiIiomI4lFAnJSXh2WefLbFnjioeQRAQnxiPUM8wh87X6/UOD/fed30felevWCvAq2Vq5JjMMFns31pEZWNCLRKJ8HSjPvjy8y84L/Y/0tPT8fuRI4jqwoT6v5qMGotqjzTDkGHDqvQCKERERESVmUMJdYcOHXD27Flnx0LlICUlBVqdFtW97O+hNhqNMJlMDi1IdvLOSaQb0tEttJnd55YlmVgGmViK7Fz7e6mVMilycnJt2uezd83W8FJosGrVKkfCrLJ2794Nhbs7gho/4upQKhyRWIyuH8zHP1euYNasWa4Oh4iIiFwk+3Y6sm6mOOVHe/ueq2+nynFo7O6cOXMwcuRIKJVKdO/evdBK3wDg4+NT2tioDOQPHw32sH8OtV6vh0QshsyB/Q93J+xG22oNK9Rw73xqmRrZuTp4KpV2naeQ2D6PWiqWYEyDnlj08Sd4+eWXC6078LDa/uNPCG/XAWIHRj08DNz8A9DlgwX4YPIE9KjgW2kRERGR82k83LFt6Fyn10nO41APddOmTXH+/Hk899xzqFmzJvz9/Qv9UMUUFxeHal5BUErtSx4Bx4d755hzsOfaXvQNb233ueVBLVXDYDLBZLHYeWbePOpsG4Z9A8CQ+t2QnanFt99+a3+QVZDZbMbPO3civGMXV4dSoUV17ooGTw3D0OHDkZGR4epwiIiIqBxlZWRCEASn/mRlZLr6tqoUh7qFvvrqK67kXUldvXoVoV6Oz5/WOJBQH755BBbBjG4VZHXv/5JL5JCJJcjOzbW7l1ollSLLhv2oAUAjV2Fova74aP5CjBw58qFvQ8eOHUPGvTSEt+vg6lAqvHZvTsPmY3/g2eeew8YNG1wdDhERERH9y6GEesyYMU4Og8rL1StXEexm/x7UZosFOTk58HVgiMiPV7ejZ/WWUEkVdp9bXtQyN2hzs+1PqGVSpOr0MJnNkD5gP+p8Yxr3xpdrJuPXX39F164P90JcP//8M0KbPAIVp4eUSKZSoduCT/DdoCfQt08fDB8+3NUhEREREREcHPKd7969ezh06BA2bNiAe/fyJrgbDAZY7B46S+Xl8sUrqO5h/4JkBr0eIpEICjt7qO/q7iI2+XcMiGxv9zXLk5vMDTkmM4x2rvYtl0ggEYugt3HYd5C7L/rWbouPF37kSJhVyv/t2IHQdh1dHUalEVA3Bm1eeQPPTpqEhIQEV4dDRERE5cDd0xMikcipP+6enq6+rSrFoR5qs9mM6dOnY/HixdDpdBCJRDh27Bi8vb0xYMAAtGzZEjNmzHB2rOQEcXFX0a/pYLvP0+v1UEilsHeQ8va4HxGmqYamfrXtvmZ5kollkEtk0ObkwlulsuPM/+1H7e5uW+/9+Ea98djGKfjnn39Qp04dxwKu5G7duoW/T5zAsHfec3UolcojY5/G9cO/YfjIkTh44AAkNoyKICIiospLm5mJJ9ZuhFtAoFPqy75zG9tGDXVKXZTHoR7qGTNmYOnSpViwYAHOnz8PQRCsj/Xr1w8//vij0wIk59HpdLh19xZCHdgyK29BMvv+eDdbzNh2ZRsGRXWqFPOF3WRu0ObmAhBKLHs/lcy2/ajzNQiMRouwGCxatMi+AKuQXbt2wcPfH/5167k6lEpFJBaj27yPcOrMWXz44YeuDoeIiIjKgVtAIHzDI5zy4x1i/04/9GAOJdRr1qzBBx98YF3l+37R0dHWrZmoYomLiwMAVPe0L6EWBAEGg8HuFb4P3TyMNEMaBkRWjkWn3GRuMJktMJjsG/atlEqRm5u3R7etxjXsjbVrvkZqaqq9YVYJP+/ciertOkLkwBZsDztNYDV0fu8DvDtjBv766y9Xh0NERET0UHPor9nU1FTUrVu3yMcsFguMRmOpgqKycfXqVXioPeGp9LLrvJycHFgsFrvnT2/8ZyP6hbeBl+LBezRXFBKRBEqpElk5OXadlz+P2p5e6u5RzeDv5o3PP//c3jArPZPJhN179iCsA+dPO6pmz96o89gTGDJ8uF3vOyIiIiJyLocS6lq1amHPnj1FPrZ//37Ur1+/VEFR2bhy5Qqqe4fbPfxar9dDJpVCYsd5F1Iv4PidExhdq5e9YbqURq5Bdq6xwDSGkonsHvYtEUswqv6jWLp4yUP3BdSxY8egzchAeJuKvVBdRdfhnRlI0+nx6muvuToUIiIiooeWQ4uSvfLKK3jmmWcgk8kwcOBAAMCNGzcQGxuLxYsXY82aNc6MkZzkypUrqO7u4PxpOxc/WnPua3QOfgQ1PEPsvp4rqaQqiEQiaHNz4a6wfZsvpVSGDDt7CgfHdMHHf2zC1q1bMXiw/QvFVVa7du1CSOMmUHp5Oa1Os9kMvV6PnJwc5ObmwmQywSJYAAEQiUWQSqWQy+RQKBRQqVSQOrCfekWj0Lij+/xP8PmIwej32GPo3bu3q0MiIiKiSmzMmDHYsGED5HK59dj58+cRFhbmwqgqPof3oU5LS8PMmTPxwQcfAACeeOIJqNVqvP/++w9VclCZXLl4BRHu9q+2rdfr4W1Hcnnl3hX8en0/vu1W+VZ6F0EEN5kbMnN0diXUKpkUKdk6GI1GyGQym87xULhhYJ2OWPTRJza1mdzcXBw9ehSHDx/GmTN/IyExDpmZmQAALy8vREREoXGjJujQoQNatGhRYVeA/mnnToS0LX3vtNlsRmZmJjKzMmEwGCAWiSBRSCGRiSFWiCH5d362IAgwmnKRozfgXroZFrMFcrkc7u4auHt4QCGvuPujlyS4aTM0feZZjBk3HufPnoGfn5+rQyIiIqJK7NVXX8W8efNcHUal4nA3zauvvooJEybg6NGjSElJgY+PD9q0aQMPDw9nxkdOdOXyFXSo28Ouc4zGvMW2lBo3m89ZfnoF2gc1QiPfGvaGWCG4y9yRmZOFHLMJColtTUQmFkMqEUOn08HTjr39RjXqhW5rX8KJEyfwyCOPFFnm999/x6pVK7Hlhy3QZetQt2Ewoup645FO7tB4eEIQgKwMA5Kvn8Oa9Ycxbdo0+Pp5Y9jQEZg0aRJq1aplczxlLSUlBSf/+guD35jmcB1GoxGpaanIzMyEWCKG3E0GTx93SBUlb+smADAbzTDqTMjMzkRqahqUKiV8vH1s3vasomn1/Mu4cfggxj/zDLb98EOlWFGfiIiIqKqwO6FOSEjAF198gdjYWNy6dQsikQjVqlVD27ZtERMTw4S6gsrNzcW1pGuo3jrCrvP0ej0kYjFkNq7G/Nft4zicdARbH33fgSgrBqlYCpVUiUxDDvzdbG0iIqj+3Y/anoS6hk8IOkQ1wZJPF2P112usxwVBwN69e/HujHfwx+/H0LpzFF59vx1ad46EWiMvvkIAGff0OPTLVfy8aQsWL16MAQOewPvvf+DUPa+Tk5Nx8uRJJCYmIiMjAyKRCL6+voiOjsYjjzxS7HOwd+9eqD29EFi/od3XNJvNSElNQUZ6BqRKKdwD3CBTy+zaG10EQCqTQOopgcpTAbPRAkNmDpJvJSMlJQV+fn6VLrGWyOXoNv8TfDugL77++muMGTPG1SERERFRJbVq1SqsWrUK1atXx0svvYRx48a5OqQKz66EesOGDRg/fjxycnIQEhKC6tWrQxAEXLx4Eb/++isWLFiANWvWcMh3BXPmzBl8OG8epBDj5e3joZa5oYZfLbSP7IaetR974KrfeftP2/Y2MZqNWHBsPgZFdUJtr8o918Jd7o67+rvwVasgFtn2ZYJSJsU9B1ZcHl2/ByZ9+zEWfLQQfn5+uHDhAl566QX8+ut+9B4Ugw1zRyM0wsvm+jy9Vej7VH30fao+zp1IxppPj6F+/fp44YUX8N577zmcMF69ehWrV6/Gd5u+x5XLFyFXqOETUB1ylQcgWKDX3kPanWuwWMx4pGlzDHlqEB599FFUq1bNWsfPu3ahett2ENs5HD0zMxN37tyBSCKCezU3yFT2JdLFkcjEcPNVQeWthD7dgORbyUi7l4bAgEAolUonXKF8+NaoiTavTcHzL76ITp06ISIiwtUhERERUSXz4osvYuHChfD29sahQ4cwcOBAeHp64sknn3R1aBWazQn1P//8g3HjxqFdu3ZYsmRJoW2zzp07hxdeeAGjR49G48aNK9Qw04eVwWDAa6+9hhUrVqB5SF08XacnYnxrQWsy4GxqHL7641N8cmgOBjYYjvEtJsNb5VOoDr1eDzepbcnPV2e/QrohDa80mOLsWyl3KqkKEpEEmTk58FKqbDxHirsmHXJzcwss5lCSzpGPIFDji1WrVkGv1+PDD+eheftwrN0zEmFR3o7eAgAg5pEgLPi6H/44kIBFM9fhhx++x9dfr0OnTp1sruPcuXN4Z/q7+L9tWxEUXh/RjwxEq6c6wLdazUL7SJuMObhz/SwSzh3AvIVL8da0tzF69GjMeHc6QkNDsXv3bjR68VWbr222mHH71i1os7Oh8lZC5al0SiL9X2KxCG4+Kig9FdCl6nHt2jV4eXnBz9/P5i9UXK3xyDFIPLAPI0ePxm/790PMPb6JiIjIDvdPP+zUqRMmT56MzZs3M6Eugc0J9bJlyxAVFYWff/65yGQhJiYGO3fuRJMmTbBs2TJ8+umnTg2U7JOeno7ePXsh8WIcNgyYgTqaEKSnZSDYPRQA8ERkB7z1yCj8cuNPLD2zBdvObcLkNq9jcMMRkIjzEmiLxYKc3Fz4upe8j/TJOyfx1bnVWNz2pUqz73RJPOQeyDSkw1OphMiGNE4qlkAmkUCn09mVUItFYjxVqxPenzUbak8ZZi7piQ49nTv/vGWnCKzeGYKVHx5F165dMXXqVLz33nsPXLhMq9Xi7bffxtJlyxBRtz0GvfY9gqOaPvA6UpkCwVFNERzVFK37vIKrZ/Zh155l+GZdLYwdOxZ3bt1CeLsONsVsyDEg6WYSBLEAzxB3SGVlv8iaRCKGe4AbcvUmZKZkQputRXBQcKXorRaJxej6wQJs6NcTn3zyCV7jdlpERERUCmKx2M6tZB9ONndhHDx4EBMmTHhgoqBQKDBhwgQcOHDAGbGRg/R6PXr16Il7Cbfwf4M+QOvq9ZFrNEImLrj6tEQsRq+wVvi/XvPwSsOBWHZ0PkZ++zgu3DmbV49BDxEARQlDvq9nXcebB6dgRM1H0TXkwQlXZaKRaWARgOzcXJvPUckk0GXbN+w7PT0DLd2jYTIZ8fz0dk5PpvMpVTK8NLMjPvzyMSz/7FP07Pko0tLSiiz7xx9/IKZ+A6z/bjsef241+k1aU2Iy/V8isRgRMZ0x8LWt6DJ8Ptau3wSZUg1dWmqJ52ZlZeHatWuQKMXwDC6fZPp+cpUUXqHukCjFuHbtWrHPU0XjHhSMDm/PxLS338a5c+dcHQ4RERFVIps2bUJWVhYsFgsOHz6MpUuXon///q4Oq8KzOaFOTExEgwYNSizXoEEDJCYmliooKp2JEybgxuUErOv3DvzdvAAAxpxcSMVFb+ckFUswvFYP7OzzESJVnhi+8XHM3f8ubqffhkL64JWTEzIS8Nze59DINxJvNBrq/JtxIZFIBHe5O9L1OchbH7pkKqkMOhvnUVssApKTk3Hn7m2EB/mhT+1m2L35Qikitk2rzpH4fPtTuJZ8Hi1aNMPly5cLPL58+XK0a9centVbY8jUnxFez7Ye5eKIRCLUbtYPXcevQ2CNtvh2UH+c+W5DseXv3buH5ORkqL1VcPNXw1WLVotEImj81NAEuCE1NRU3b96AxWJxTTB2qPN4f0R07ILhI0fCaDS6OhwiIiKqJJYuXYrq1avD09MTEydOxOzZszFkyBBXh1Xh2TzkOysry6bFjDQaDbRabamCIsdt2LAB3337HX4YPMeaTANArtEIlVz9wHP9VV74qO0LGBDVEe+fWIufzv+AATUGY1S9IfD6z8JlZosZP8b9iEUnPkWbwBgsbPUcpOKKue9xabjL3ZGZmwmd0QS1DftLK2VSmC0WGAw5UCqL39/YaDTi5s2bMFtMCAx2h1wuxdCYThiyZT6SrmcguLrtK4U7olqoB5ZufhKzX/4FrVq3wE8//owWLVrg5ZdfxsqVn6PLsHmo16rgfBmz2QyDwYCcnBzk5uYgN9cIs9kEs9kCQbBAEPKSULFYBIlEAqlUColUCqVSCYVcAbNIitbDFuLa3ztwYPZM3Dl/Hp2nz4T4vhEQKSl3kZZ2D5pANyjUtu3nXdYUbjJI5e7Iup2NxMREhISE2DWkv7yJRCJ0mvU+NvR9FO+//z5mzZrl6pCIiIioEjh48KCrQ6iUbE6oBUGweX9TjrV3jTt37uCFSc/j1VZPoX5AlPW4IAgwmYyQKm1LUNoGNcT2XnOx+fKv+OriDmy4uBZNA5qgnm8M1FI1butu4/DNw8jMzcCL9Z/EqFo9Ks3CTfaSiCTQyDRI1xuglkmBEuZSS0RiyKUS6HTZxSbUOp0eSUk3IVdI4B/kbl08qkFAOOoGhmD7hjN4dko7Z99KISq1DLNX9MLiWQfRpUsnNG/RGidO/o3+L65HcHSzvFj1Omi1Wuiys5GTkwuxWAS5TAqZVAyVXAyJRA6JWHTfZ4MAi0WA2SLAbLbAaDQgXadDrskEQATIZIhs8SQ8Amvg0OrnkJWchD6fLoNMpcKdu3eQnp4O9yAN5Eq7d/QrUxKZGJ4hGmjv6HDtWiKCg0OgVj/4CypXUvv4otN7H2DOS5PRr18/NG1adaZiEBEREVUkdv3V2rlz5xJXjnVkSKRWq8WyZctw4sQJqFQqDB48GL179y6y7NmzZ/HZZ5/h1q1biIiIwIsvvoiwsLwtmhITE/HVV1/hypUryMrKwvfff1+gJ8loNGLVqlU4fPgwJBIJevXqheHDh9sdb0X11tS3UE3ljacfeazAcaPRCEEAZBLbe/ykIgkGRnbGU9Gd8eedC/gt+TQup56EzmSAn9IT42o/isfC28BbUbn27HWEh9wDSVot9CYTVNKSn0OVVApdtg4+PoVXTc/IyMDt27fh7qmAp4+qwGJnIpEIT9XpiEUbt2Lcy60gV5R9UimRiPH8O+3w15Hr+P3Pk+g3aS38qtfDnbt3kJWZCbPZAqVCCo1KBj8vJRQySUnfKRQkABABqfd00Jnyeq/NZjM8Q2LQedJ6HPriGWwdNwrt5i2ANjcXHtU0kFWwZDqfSCSCJtANujQ9bty4gWpB1eDh7uHqsIpVo1sP1HnscQwfORKnTpyoFAurEREREVU2Nv/lOmPGjDILYuXKlTCbzVi9ejWSk5Px7rvvIjQ0FA0bNixQLjMzE3PmzMHEiRPRtm1bbNu2De+//z5WrFgBiUQCiUSCtm3bom/fvpg9e3ah63z33XdISEjAypUrodfrMX36dAQGBqJbt25ldm/l5cyZM1jz9RpsHDCz0NDr3FwjxCIRJCLbh2RbBAEiUd4K1K0CY9AqMMbJEVceUrEUbjI33NMboHIvuZdaJZPhTnZ2oVEdd+7cRXr6PXj7qaFxL7r3uk/NZpgf+z0O/XIVXR+r7czbKJLZbMH7r+5BWooF3Z9ZAb1Fhfj4eCgVMni7K+CmlkMsLv0kZl2OGVJ3d0jEIkjEIggC4OEfjk7PrsNvn4/Fnhcno/PKRRU2mc4nAuDmo4JYKsat5Fswm8zw9i7d1mZlqf20d7HxsZ549913MX/+fFeHQ0RERFTluDyhNhgMOHLkCBYtWgS1Wo3o6Gh06dIFe/fuLZRQx8bGIjg42LqH7oABA7B9+3acPXsWjRo1QmhoKEJDQ3H79u0ir7V37148//zz8PDwgIeHB/r164e9e/dWiYR62tS30CWqGVqG1iv0mNGY+2/vtO2JkWARbNoq6mHhqfBEkjbJpl5qlVQKQRCg1xugVqtgsViQnJwMvV6HgCANFA8Yeu8mV+KxWi2wfd3ZMk+oBUHAp7MOInb/TfSc9Bm8AsOh15qQmZ4DT40Cbk6aw5w39NsE1X09pCIRIBGJoPEORKcJq3Fg1Rgcfm0qOi5bCLlaDbGrViKzkcpDAbFEhLt37sJiscDX19fVIRVJ6eGJzrPn4qOJ4zBgwAC0atXK1SERERERVSku7w66efMmAFiHbQNAVFQUtm3bVqjstWvXEBkZaf1dIpEgPDwciYmJaNSo0QOvo9VqkZaWVuD8yMhIrF+/vlDZ5ORkJCcnAwDu3r2L7OxsAI4NZy8PJ06cwE8/78BPw4rugcrNLX6F7+IIgqXCJzXlSSqWwk3uhns6A1QeD+6lFolEUEil0OmyIZPJ8laHFswItHH7p8F122PApkO4FncPYVFl1/v5zYo/8ePGc+gxcQl8qkVBIhZB5iWBSCTCnbRsBIrcoFaVPqnWGUwQSyQQ/2chL4sgwGyxQOUdiE7Prsa+pcMRO3UmWi94DxKpDFKJxOZ1G1xB4SaHqJoIqbdTYbFY4O/v7+qQihTRoRNiBgzCiNGjcfrfaTWOEgQBFosFFoulQr82ZLv8f9cq6r9v5Bi21aqHbfXhln3nNuQ2LI5rC20xHY/kOJcn1AaDodAfeG5ubtDr9YXK6vV6aDQam8oWdS6AAgsJFXfuypUrC6yMm79c/K1bt0q8jivMmjETXaOboY5PGEwmU6HHc3JyIBcrIdi49RMEIW/FZicM9a1KPOWeSMpOgi7XCLW85F7qrKwspKenQyYXIyBAA7FEZNNrUMc/FA2CwrF9w994dmpbZ4VvZTabsWf7WXy+8A90HvkeQqIbFfh+wN1TDkEQcDs1G9X83KBSlO4DXG8wQqpSFvgKQhDyFi0TiUUQiQC1VzV0mvAF9i4ZhtMLl6DJlJdhNFkgFoshEUvgsr2zSiBTyeAe6IZ7t+9V6J7qVq9Pxab+vfHqa69hxrvvujocqoDu3Lnj6hCIyAZsqw8fjYcHto1y7ta0Go+KuwZMZeTyhFqpVBZKarOzs4vsRVGpVIX2+NXpdDb1uOSXub98cedOnDgR/fr1A5DXQ713714AQLVq1Wy4o/IVHx+Pn3ftxHdPzoJUWvTLaTSa4KaQ2TyE2yJYIBLZt/bUw0AqlkIjc0eaXvdvQv3gZyjXaITGXQ5vP7Xdw+cH1WmHT77fiolvtoNM7rztyLKysnDqr6v4dMYfeKTHeNRo0rXIch5eCggCcDs1G0F+GigcXCBNEAToc0xQ+vzvg1sAYDILgEhU4Esb94BItB+3HPtXjIFHRHXUHjYIZrMAo8WUt0ZCCQsiuopcJYNHNQ0ybmVALBZXyJ5qqbc3urz/Ib54ZgxGjRyJ1q1bO1RP3o4BJkilUvZ6VREWiwV37txBQEBAiYuOUuXBtlr1sK1WHOXdwZaVkVGu1yP7uTyhDgkJAQBcv34d1atXB5CXJIaHhxcqGxYWhj179lh/t1gsSEhIwMCBA0u8jkajgY+PDxISEqy9SHFxcUVeJygoCEFBQQCApKQkxMbGAkCF/ABbtmwZGlSLRrPgOkU+brHk/aMqs2M+rEXg/OnieCryVvzOys2Fu7yohcUEpOr0yMzJgYeXHB6eKoeey941mmHe0c04vOcqOvepVeq4LWYzbt2+jdS76Vg28xSCarTAI93HPPAcT28FLBYBySlaBAe4Q27DcPX/yjWaYTZbIL1v/rTZnDdcTSwp/Lz4RTZBiyEf4I/5U+AZGYGgNi3ytuEym2CxiCGVSirke1OmlMKjmgb3bt2DSCSCn5+fq0MqJLxdB8Q8ORijx43DmVOnHBr6LQgCxGIxxGIx/0ivYvJfV6oa2FarLrZVoorH5S1SqVSibdu2WL9+PXQ6HeLj47Fv3z507Vq456x169a4efMmfvvtNxiNRmzduhUqlQr169cHkPcPSG5uLoxGI4C87aJyc3Ot53ft2hXfffcdMjMzcfv2bWzfvr1SL0im0+mw+ouvMKp+j2L/wTQa8+5fZsccasEiVNQRti4nEUngIffAPZ2h0PBts2BBcpYW2txc+AeoodHIYREcm+vkJleiT40W+HH9uVLHrNfrkZCQgJwcPb5fdRnZOhU6Dp0BkQ3/IHv7KKFUS3HrrhYmk/33ojeYIJXLIJbkJeNmi5D3h560+DdY+CN9UKfLeBx6fTqyrt+AWCyCVCIBIMBoNMFcQeePyZRSuAdqkJaWhrS0NFeHU6R2U6YhNUtbprs2EBERET1MXJ5QA3lDrAFgzJgxmDVrFoYPH25dZGzw4ME4dy4vqfDw8MC0adOwadMmDB06FLGxsXjnnXcg+feP9Tt37mDgwIGYNGkSAGDo0KEFeq+HDBmC8PBwTJgwAa+++io6dOhQqRPqTZs2QWQR0KdW8cM3c3NzIRFLILZ5yyyh0HZPVJCHIm/4crreYD2mNxlxIyMTFrGAwCA3KJQSiESAUIrkb3C9dvgr9hqSrzs+1OfevXu4fv061EopzsXexW+7r6PLqLmQqzQlnwwAIsDHTwmpXIzkFC3MZhvn4f9Ll2OC9N+eUMu/i+SIJCV/7NTv9SJ8qzfCwZemwWQwQCQCpBIxJGIRzGYTjCaTrSsClCu5Sgr3QDekpKQgPT3d1eEUonD3QMdZc/DRxx/j2LFjrg6HiIiISuDu4QmRSOTUH3cPT1ffVpUiEgShIv5dWmEkJSVh1apVmDBhAoKDg10dTgHtWrdFrRxvzOg4ttgyqamp0GZko5rGttgtgiVviHgZDScSBECAYP1vUUQQWedwV9TEPtuYjVRDKkI9PZCVk4MMfQ40HnJ4eimsvft5c4UtkMltn79+P0EQ0H/L+2j1VHU8/ap9c14FiwXJt24hO1sLf283ZKTk4On+u9Ck5yQ06PiU/bFYBNy9pQMEEYL9NTYtWCdYBCQkZcAtIABSpRImswUise2L3eVkp2PPooGo1q4JWs9++3/1CnnDxgUAUqm0Qq5Gn6PNhfauDkFBQXB3d3d1OIXsmfoaLJf+wakTJyD/z+rrD8J5mVWPxWLBrVu3UK1aNQ4jrULYVqsettWKo7xzA5FIhCde3Ag3z0Cn1JedcRvbFg8FU0DncfkcanLM5cuXceT3o5g+4qMHlsvNzbVzuLfF6TNULUJer3d+X21+oiwSFU4zBQAQBFiEf///3+Hn+Ul2RUme3GRuyMrNQlJmFiAC/AJUUKoKNqe8+8z7R1Aitn/+sUgkwsBa7fD5tzsx9qWWkNjQswsAJpMJN2/egNlkQkiAO8QiEaZM/QP+EQ1Rv/0gu+MA8pJgv0A17iRn/7v6t6bEVesMuXkrzkuVirxh2iL7Vo5XuHmh9chP8OviYQhs3gRR/XrnxSICpFIxzGYBJpMREom0wi1YptDI8+afJydDIpEU2F2gImg/dTrW9+2OOXPmFNjRgIiIiCoeN89A+AZGOKUuZ22/Rf9Tsf4KJZutXbsWDYJroI5f4UXV7mfvHtQWJw73tggCTBYLzELeis4SiQhSqRgSqRhiiQhicd4qz/f/iMUiiCV5ZaRSMaTSvGMQ5dVnNFusdbryezWzIMBD7gWzRYC3r7JQMp1PJBKVath331otkJ6mx7GDiTaVz8nJwbXERIgEC0IC3CGTSrD5638Qd1mLDkPetWnedHHEEhH8qqmRYzTjzr1slPQC6AwmSJWKvC9HBKHIRchK4hvWAI0eewN/zl6IzIRrBR6TSESQiMUwm80Vcgi4ykMBlZcCN2/eRE5OjqvDKUDp5YUO09/DB3Pn4syZM64Oh4iIiKjSYkJdCQmCgHVr1uKJGu1KLJubmwuZxNaE+t8Fo0oXnjWRtghC3oJS/ybQDiXq/26tJJaI/k2y834XBAGm/OT634WuyoNFEGC0WCAIApRyBdwVGmTcy0Fxlxf9e06J2WcxvJRu6BbVCDu+LXlxMp1Oh+vXrkGpkCDIXwOxWITEqxn4avFZtO7/Btw8S7+dk1Qqhn81FXR6I9IyHrz/u95ggkSpsnnedHFqdhiJgBotcfiNGTD/u+BgvrwFy8SAIOD/2Tvr+DjK/I+/R9Y37lJ3dy8tbXFtoUCxw/WAg+OQw37oYYccesBBDyt2uGtxd4cC1TRJ47I+8vtjdtOkTRrpJrtJnzevYZvdmWe+szs7O5/na1ok0vFe6z2EK8OF3WNj/Yb1TcUSk4Vhu+/J4IW7cPRxx6HreqLNEQgEAoFAIOiVCEHdC/n4449Zv3ED+46Ys831NE3DMMwOC2rTSmzeLg91zHssyZYA7kyIb4eQLI+1osqoNhlZljAlEy0qdHXDjArY+KJHxzdMEyV2bJJEmjMNQ4eGhnCr28VC1LfHpgNHzuH9N/+gpsrf5jqNjY1s2LCBFI+dnAwrvFjXDa696DOKR85g6JTdurz/LbHZFbLzXNQ1hqhraN3zqusG4YiGbHdYkyLbcRpIksS0Q67CX1rJN7fd08rrltBHsnqud8fn31UkwJPjRrHLbNiwAd1ILuE6/+LL+PnXVdxyyy2JNkUgEAgEAoGgVyIEdS9kxYoVzB4wjlxPxjbXC4cjltjoYMi3Fe7dNZvMqOAEUKPh3D2BJEsoihUerigSSKYlfpuHhndBYJls9rRHdMsjrbQySSBLChnODOprQ222lZLYvmrfM4tHkOtN47Wnf2719YaGBjZu3EhGqpPMtM29hZ97dBWrVzUw58Bz416UxuFUycxxUl3np9G/9WRCIKghKzKyTe1SqPeWOL2ZTF92NT/992E2ffF1q+uoijXBommRpGqtJQEpeR4MyaCkpCSpioB4cnKZc94F/P3CC/njjz8SbY5AIBAIBIIk4Mknn2Ts2LF4PB4GDBjAU089lWiTkhohqHsZuq7zv8efYO/BM9tdNxwOoSodrzBtGkaXhJdhWh7imOc4UU2sJcnKv1abh4YT9V5HBXYsRFw3LU9280U3ogLaMNB0yxstyRKqum1vu9vuwaE6qKkKtvq6LEnb5TWVJZkDhs3mpUd+3EqM1dfXU1paSlaai/QUZ9PzFWV+7rnpO6btczqe9Nwu73tbuD020jOdVFT7CQS1Fq81+sPIDifydoR6b0nByLkMmX0IH15wBRGfr9V1FDmWV62h6XrSBIBLkkRKvodwOExZeVmizWnB6AMOomDSZE446aSkEvsCgUAgEAh6nrfeeoszzzyTf//73zQ0NPDZZ58xceLERJuV1AhB3cv48MMPqaisZPehM9pdt9MVvk2z0xW+ddMSp0oPeqU7RCw0XGlZ3EySLS+2yRaCGhOkaKi6sllEWwXR2j+uLFcW4ZBBY+PWebJWYTJzu/J7F4+cxeo/qvjpm/Km5xrq6ykrKyMr3UWq19Fi/Vv+8SUZBcMYNWv/Lu+zI3hT7aSk2SmvaiQUtsKZTcMkENJQXc52K4F3lgn7/A00lS/+eVub68Tyqg3DagGXLBJRUWRS8j00NjRQVVWVaHOakCSJnS/7B++//wEPPfRQos0RCAQCgUCQQC655BIuueQS5s6diyzL5ObmMnjw4ESbldQIQd3L+N///sesAWPJdKW2u2441HFBbZpWb+jOtKWK5SsrXS041pNIW1QRj1YSb1oU2QpRlqPH0snjUWSVdGc6dTXBrUK/pej/tifsuyg1i1n9R/DS41ZxssbGRkpjYtrTUkx//G4JH63cwOyl529XVe+OkpbhwO2xUVbZQCRiUFUXwDRNbG5X+xt3EtXhZvohV/P7U89R+uGnba4nSclZrEy1K3hzPVRVVdHQ0JBoc5pI7z+A6af9hTPOPIuKiopEmyMQCAQCgSAB6LrOp59+SmVlJUOHDqWwsJCjjjqKmpqaRJuW1AhB3YswTZOn//cUuw+c3qH1O1Ph2zSNTmlIPerVVXuDmO4hvA4vdsVBdeXWod8y2xf2DXDA8Nm8+eyvVFfVsXHjRjLTthbT4ZDOLVd9zdh5B5NVOHS79tcZMrKcOJwqGysaqPeFUGw2JKXzvbc7Qs7gyQyb9yc+uuTqNkO/IXmLldndNtxZLkrLSgkGW08TSASTjj4OZ14eZ551VqJNEQgEAoFAkADKy8uJRCI8/vjjvP322/z4449UVFRw5plnJtq0pEYI6l7EV199xfqNG9htyLR21zUMk4imYVPsHRrbMM0O51rH8o9VpfOe3L6NRJYri0jEoL6uZaEuSQJjOwtlLRo8AcmQeOGJr0hPcZK2RZg3wGPLf6KhQWLyHsdv1746jQSZ2U5MTGRZRu0G73Rzxu15BrJp58ub7mh3XVWRkaVo1XszOYqVOVMdOLx2NpRsQNO09jfoARSbjZ0vv5pHH3mE119/PdHmCAQCgUAg6GHcbqtTzGmnnUZxcTHp6elceOGFvPTSSwm2LLkRgroX8corrzChaDh53sx2141ELEHX4ZBvo2Me6ljOsSLEdKsoskqmK4v6uhDh0OYWSbIkgWlFAnQVh2Jjr0FT+eRVq6L3llSU+Xn4np+Yvu9fsDs9Xd5PV/E1RjBNK4dacW5tXzxR7S6mHXwlvz3xTJtVv5ujNFUA15KiArgEeLLdKDaZDSUbkkbo54+fwIQjj+KEk04iENh2n3GBQCAQCAR9i/T0dPr16yeiTzuJENS9iIaGBrI7kDsNEAqFURUFWWo/7NbEyp9u78tjYnmnFVmEeW8Lt82Nx+6lqiKAYWwOM94eL7WJiaZFWDJyJt9+tYnSDY1brfPvf35NVuEwhk7Zvcu2dxVdN6mrCeHwWhM4inNr73m8yR0yjcGzDuKjS65GD7XeD7s5zSuA63ri+0FLgDfPg6ZrlJWWJtqcJmadcTZ1wRCXX355ok0RCAQCgUDQwxx//PHcdtttlJWV0dDQwDXXXMN+++2XaLOSGiGo+yjhcKjT3un2JLJmGJsrZQu2SYYzA1lSqarYnCMrS1ILgd1xzKaw4HF5/RmeW8Crz7TsGfz9VxW8/cpaZiw+OyGTHbXVQWSbla+sOB09ZsP4vc9Gqw/y7V3/7dD6sQrgumGg6YmvAC7LEin5Xnw+P5WVlQm2xsLu9bLTxZdx/T//yffff59ocwQCgUAgEPQgF1xwAXPnzmX06NEMGTKE7OxsbrrppkSbldQIQd1HsSp8xy9/WouK7qRqjZXESJJEjjuHcFinribU9Jxpdr59lqZpYJqoiowkSRw4bDavPrmmSZwbhsltV3/NsKm7kdt/dNyPpT1CAQ2/L4In20kkoHdLu6y2sLtSmHzAxfx430PUrvq9Q9tYFcCtyY1kaKul2mS8eW6qq6uTpvL3kEW7MmTBLhx/4onbnfsvEAgEAoGg96CqKrfccgvV1dVs2rSJ5cuXk5rasQjZHRUhqPsooc5U+DbMbaZD69HqyIoiTpfOoMgqOe4cGhrC+BojSFhh351pn6XrWjRnXW4SqfsMn0pVlZ+vPrF6Uq98eS2rV9Uxbe9Tu+Eoto1pmlRXBXGm2JEUCT2so7qiBcl6SFQXj9uFwjHz+fj/ru3we9uirZYWSbiotrtsuDNdlJWVEupA+HpPsNNF/8c3337Lfffdl2hTBAKBQCAQCJIWoZD6IKZpEomEO1jh28Q0zTZDdM1oETJZEZ7pruBQnWS6MqmpDhIMaEhIHfb4GYaObhhRz/Tm5zNcXhYOGsfL//udcEjn7hu/Y9zOh+NJz+2mo2ibxvoIhmHiynAQCWjIioJsazaR00OnzeQlF1G76g9W/e/ZDm/T1FYLiEQimAluq+VMc2D3WJW/kyHHOyW/gOln/JWzzz2XTZs2JdocgUAgEAgEgqRECOo+iCUO6JCH2jBM2Eb+tG6aVt60KELWZTx2L2mONCorAoRDerQf8rbFm2kaaLoeLQC39esHjJjFe29s4JF7f8QfUJiw6IjuMX4b6JpBXW0IV6YDSYFIQEdpLdy7B04dd3o+4/b8C1/ddCeByupObRtrqxXREturOlb5W1KgZGNJwgU+wMQjjsJTWMRfzz470aYIBAKBQCAQJCVCUPdBQqEQiiyjdKTCt2kgt6F49GiOrsib3n5SnWmkOlKpqggQCujbFG5mtAiZLEltvvdz+o0i0+1hxT0/MWm3E7A53N1lepvU1oRQbLJV2dsELdAs3HtLeuAUGjr3MLyZ/fniun91etvNbbUiCW2rJUmQkuchHA4lhVdYVlXmX3olj6xYwcqVKxNtjkAgEAgEAkHSoSbaAEH8CYdj4d7tqxjDMGlNsxmmiYGJKkK940aaMx2QqK2qwzQhNa018bm5oreyjfdekWX2LJ7OI6veY8SMfVuOYJoEfbWEA41IsoI7JRPVHt++0KGgjt8XIbXQAxJoIQNDN6yCZG0h0Z5jfruQZYWpSy/jjZsPZsgB+1Awc1qntldkCQmrrZZpKqhK+xNS3YGsyHjzPNRtrMPhcJCenp4QO2Lkj5/IuGWHc+Ipp/D9N98gy2IeViAQCASCnsRXV47d1rHaSO3RWFsel3EEmxGCug8SCnW0ZVY0f7qVG2QjGuq9zWplgk6T5kxDkRVqqqvRIgYZWe4W4fS6rmNGK3pvC10zWZA7kf/++AaVJb9i6hrrf/qYTb99TUXJr4TD/qZ1JSQycwZSNGYmI2buS0b+oO07CNNqk+Xw2lAdlp1aQENx2JHaK1zXzaI6s98YhsxZxqdX/JN9nn4Qxd6xSvcxrPQGGU03iJgmqqr2VBp4C2wOFU+Om02bNuFwOHC15fnvIWad9Tce3msXrr/+es4777yE2iIQCAQCwY6ENyWVZ245NO5jCuKHENR9kFAoTIqa0u56beVPi1Dv7sVr92KTbVT5KikN1JOZ7cbpUjEMs9UiZK1RVxuiKCWXCTnDeOm209C0MCNyJzA/bxYj5p5IYUp/UhxpaIZGha+Unyu/5d2fXuOJtx9hyIRFzFh8Gt6M/C7Z72uMEIkYpOVtFnnhgI7q7GDYeTeL6nF7/oUN17zKj/9dwbgTj+709rG2WrpuoEUiqDa13bZy3YHTa0cP6ZRsLGFA/wHY4jQz3SVbUtOYc+6FXHnx+Rx00EEMHz48YbYIBAKBQLAj0VBfl2gTBO0gBHUfo6nCt6N9z5xpGlvJBBPLO62oQkx3Jw7VTr63gLpgHRVlDdgdKi6Pgttta1NMmwaEQhq+xgiBRissfP9+M/m5eh0PHPA6ud7CVrfL8eQzOncSB4w+il8qv+Pfn1/D/64+grnLzmPo5F07ZbdpmNTVBHGl25Gj54hpgB7UcbQawt4G2xDVVs02k6Y0c7PZNliCV5JoM6PB7kplwn7n8fldFzNor93wFrf+vmzTvGgFcE03iEQ0VFVFTkC0hjvLhR6xRHX//v2RpcSFW4/Yd39+fupxzjjzTF5+8UVRqDCK3+9n9erVrFmzhpKSEkpLS6moqKCquoqaujp8fh/hcBjTNJFlGYfDgdftISM9nZzsHPLz8+nXrx8DBw5k+PDhZGdnJ/qQBAKBQCAQdAIhqPsY4XCswnf7gtowza1Egm4Yoqp3jyAhS5DpziDFkUJ9qJ76ah911SHsdgXVbhXJwjTRdRMtYhKJWK2UHIqDNEcKboeXJd4i/vXDs3xV+jG7Dzug3b2OyB7HDbs/yFM/3s+9D11O9cbfmbb3SR3+vOvrwiBLOFI3n1+RgAYSKE5HZ9+CJrFsGtZkkGmalk6WrHQDCTaXTjQtsW2aJoZhrSfFztUtzB8weR9Wf/I/PvvHjSy445+ds6sZqiKjG1avakVWUHo4r1oCvLke6koaKCsto7Cw85MDcbNFkph3yRU8vN8ePP300xx44IEJsyURaJrGTz/9xFdffcU333zDN99/y48//kjpho0A2F1OvDnpqE4bpixhmAamEZ0AUmRUh4rqcmBXnNhtYeRwI9rPvxJ4t56G0irqyqowTZPMnCzGjx/PjKnTmTFjBnPmzCE3t+db4gkEAoEgOVi5ciV+v7/9FTuB2+1mwYIFcR1zR0YI6j5GOByybvzbrfC9df60YZqYbLsYliC+mCaoskqmK4MMVwYhLUhIC6OFNHSsatOKpOBQVOx2OzbFjqGBrCggSdgVhcUD5/Lyr491SFADyJLM0jHHMChjOJe9fQaRYCOzDzy7XVGtaQYNdWE8OU6aO0ojAR3V2Uq7rHYPPiqQ9WgbMUlGVuRWBXKM2NOmpawxDRNDN5DkaEX0Zl7sKQdewivXL2bD2+9RvPNOnTRuM0o0r1rXDYwE5FXLskRKvof6kgaqqqvIyszqwb23JHPwEKYcdyJnnHkmu+++O16vN2G2dDebNm3igw8+4IMPPuC9jz7gm6++JhQIkl6YQ/bIfqSPKGLY9AUUlFVT+XMJZV/9RvW6MhwpaaTk9MedmofdlYqs2jENHS3kI1hTQc2q9fgqy5BtKgUThzNot0kM3XMa3rwMateWU/VrCRU/ruXxD1/mljtuI9DgY8Tokeyx6+7stddezJ8/H4ejk5NXAoFAIOi17L/fYhoa6+M6Zoo3lfoGEUoeL4Sg7mOEQiHsHek/HY2nbS4MYj2nBT2NCdEsXafqwqm2HTqt60ZUcG7+nJYOWcD9v5zD6ppfGZTR8dzWKYVzuHbXezn/9eOx2d1M3+/Uba5fVxNCdcjYPc0uG6blobandlJYmWDoUUUty0iy3Kk85dh7IMlRz7ZuNr03cnRCKDVvCCN2PprP/nET+TOmbbsCeTvIkoQUzauORCI9HgKu2hS8uR6qyqtw2B0JFbJTT/ozq154jssuu4zrr78+YXbEm6qqKt566y3efPNN3nz7LX77ZRWuFA8Fk4eRO30we5ywE3njB2FzO/j1hU/44dF32fjFz3hzCikcNZ8ZhxxN1sDxuNPa9yaHAw1Urf2e8l8/4bsHVvL+NY9SMHkE449YwPB9ZjJi35kAGLpB5U/rWP/Rjzz/3tvcfucdOBwO9t5rb5Ydcgh77rknTmd8K/gLBAKBILloaKznpMWPkJVRHJfx6hrLuf2JpXEZS2AhBHUfIxQKdSjc2zSMrcS0hChE1rPEYp479p6bpolpWG2VmjM4tYgpOaN48ZfHOG3mxZ2yYFTORC5bcDsXvHE83qx8Rs9p3csdDkXbZBV4WpirawZGpJ12WS0OwsrDNgzTCoVVlZae8TbypreFNY6EaUqYuoGhWR5rSZYYs+sprPvqBb7/z/1MPP2kjtnY5n6svOpYCLgcDQHvqW+M3W3DleGktLSU/gP647Anxktpc7nY6aJLuem0kzjqqKMYO3ZsQuzYXiKRCB999BGvvPIKL77yEt99/S2uVA/FM0dRdMgMps84muyR/Zq+b76KOr6892W+e2glmAoDp+zLHn+7lIziUZ1OkbG7UigYOYuCkbOYuN+Z1G78ld8/eYaVFz3E+1c/ztRT9mLcYQtRnXZyxw4kd+xAppywF2FfkLXvfst3L3/Os0ccjt1m45CDDub4449n+vTpIlVHIBAI+iipnjwyUooSbYagDYSg7mOEQmHS7Gntrtc8f7qpEJkI9e5hOlfq2jBMpDZamR0ydBGXfb6c46ecjdPWwWrbUSYWzOCs2Vdw45MXk1kwhPzBE7Zap7Y6iMNjQ3W2FPMRv45sU5FtHbiUNHmlrZB1qbXJG2nzuk2PHTwtYwLdNExM3cA0TFSHm4n7/Z2Pl/+NwfvtReqAfh0bbBs0DwE3TQNVUbcSMlowSGBTJYGqakJ1dUTqG4j4/ejhMKZm5cJLioxit6O6XNi8HhxpaTgy03Hn5GBL8bYqjlzpTvSwTsmGEgYMGNDjOd0xBi9YxJAFizjplFN4/913e42Qq6io4KWXXuK555/jtddfJ+D3UzxlBEWLxnDIpQeQO3bQVhNWgeoGPrvjeb598E08mYVM3PscBk7ZC8UWvwmN9MLhTFlyLuP3Oo3fPniCT26+jy/ufoW5fz+YEfvNanp/7R4nw/aczrA9pxMJhPj9tS9466kPuHfWvYwcM4rTTz2NI488sk+H4gsEAoFAkGwIQd0BvF4vqqpaeZsJxIzmOLeFYVjhqDZXex7qlvnTlreQXnNT3LfohHfaBFluXUDtWjyNq798kJWrX2TP4Qd12opdhyzm16ofeGv5RSw57wFc3oym1wI+jXDIIC1n61D0SEBD7UiPZBMMLdqmTZXbP9eaVwHvhKgGopMOcpO3umjcruQOmc5nV93IwrtujMt5LksSsirRuKmS6p9+oe631TT8vpqG1Rto2LCBYG1107p2ZwpOZyo2uxtVsSPL1mXXMHV0PUwkEiAUaiQUqMc0LLFtc7rxFhaRMqgfqYP7kz5sCBkjhpE6cADeHDf1GxvZuHEjxcXFCfvezv37xTy0927cf//9HHXUUQmxoSOsWrWKZ555hiefeYrPPv4Ub1Ya/RdMYP41x9B/7lgcqa1PQGmhCN/c/xqf/OtZXKl5zDzsKvqN36VF3Yl4Y3O4GbXwKIbOOYif3vovr59zL989tJJF1xxD5pCWBelsLgcj95/NyP1nU7+hku8fW8l5/3ch555/HiccfwJ/OeMM+vfv3+4+zWhdgFhRQEHfIPZZis+07yC+q8mDqgr5JGiJOCM6wKRJk8jIyEDTtITaYRhWkaq2LqShUAgAm2xnW95Pw9icPx3zTqvCO93DdE4lxkKk22wVpdg4YPA8XvhlBXsMW9olkXXilHP4oeIr3nv4KnY98XprDBNqa4I40mzItpZjmgZoQR1XK0K7pfFWLiiSZHn/Omrb9ohqSUJSFEzTwNQNJu5/Ia/dsD/r33ib/rt2raqlaZrU/fYH5Z99yaYvvqXy6+/xbSpDUR1k5QwlJ3UYRemLSJvWn7SUIryePNyuTJQO1DSwxjcIBOvw+TdR37CRuoYN1JSvoWrVz/zxyPP4G6tQnS6yRo0ia9JYPAOGI02fRdGgwV06nu3BNE1SCouYdurpnH3OOey1115kZGS0v2EPYJom3333HU8//TRPPPUkv/70M7nD+tF/14kcdM4l5E8Y3EIUt3Y9XffBD6y88H6CNQEm7vM3Bs9YjKz03M+lzeFm/J6nMnj6/nz+5FU8vOeFzD73ICYds3urgj6lKItZf13K9NMWs+rFT3j0vme45ZZbOPiQgznvnHMZPXr0NveXkZGBYRhNvzGCvoOu64k2QRBHxHc1OUiW3ztB8iAEdQf46quvGDduHDk5OQm1Q47eSLUllsLhMDZFbbdXrWnqTdrEapNFx0WOIA50bma5Pe90jIOHLOK+n17g58pvGJUzsdNW2RQ7F8y9nlNeOIBfPn6ekbP2o7EhjGGYuNK2Dm/VgjqYoG6jXZZpgKkbIMvW+dvZ02xLUR17roPbSpIl4FOyBzJi5+P4/OqbKZwzE9XdsZ7Z4UYfpR98TMk7H1L6/icEaqpIzxxAv7ypjBx9Gvk7jyMrY3CT13mziZ3/PkmSjNuVgduVQU7WiK1eb/RtorziB0o3fUvJG1/ya+njfK5HyBk1jsELFzBo54Xkjhnb7R5r0zSb9jH56OP49dmnuPiSS/j3nXd2637b4/vvv+exxx7jkccf5Y9Vv1M0YSgD953MrNuPI2NwQYfGCNY28s7lD/PzMx8wbO4hjD/5z9jdqd1sedt4s4qYf8LtrP7seT6+4WrWrPyOPW4+GU9O62k9qsPGqAPmMnLJHNZ/+AMf3fEikyZNYvEBS7j0kv9j3LhxW21jGAZVVVVkZWU1/cYIej+maaLrulXnQfy+9wnEdzV5qKioSLQJ3caWKUPBYJC99tqL5557LkEW9Q6EoO4AjY2NaJqW8B8lSdr2bXpHC5IZhpU/HQshV0QhsgTQCe+0vm3vdIxiby7zCifx3E8Pd0lQAxSnDeL4yWfzn6dvpmjEDOob3TjTHbTWhS0S0Kze022cP9stpmNsR141RCegVJmRC09g7ZfP8s0d9zLlb6e1uX640ceGt95h7UtvUvrJZ6iqk4H95jB/4tkMKJ5Nijdvm6ZaTcCi/bTjWLLM68nF68llyEDLw67rYTaWfc2a9R+y+onX+fjWm/Bm5zN4110YtufeFE2dbrVX60YUu515l1zOf44+nOOOPZbp06d36/62ZM2aNaxYsYIHVzzEzz/8RNGEYQw+aDrz9zyNtH6dmwBdvfJrXj/nXuyOTHY980GyB2wtPhOBJEkMnr4fuUOm8OGD5/Dwnhexz79Pp3Bq2xX9JUmi/5yx9J8zltIvf+PzW59l4sSJHLj0QK684kpGjBjRYt3Y71uif+ME8Ud8rn0H8V1NHhIdsdqdNDY2Nv1b13X69+/PwQcfnECLegdCUPchQsEQdqW9QjmmdbMvyZZ3eosWTILupnNqMDbpIbfbV9zisGG78uf3buCEwLlkuroWUbHvyMN4e+3LvPfIdUzY71Icqa2HLEf8OrZUT+uDNBfTSpxm0rczBNzu8jJp/wv58IG/MHDvPcgaNXSzubpO6Yef8sfTL7Lh7few2TwMH7grs/Y4ln6F0zscth0zM2Zi7P9d8Vi3h6LY6Vc0neKCacwxziAYruH3tSv59aNXefqxI3GmZzBin30ZtfgAckaP6bYbsH4zZjFy3/058eST+eKzz7q9UFpdXR1PPPEE992/nI/e/5C84f0ZvO90jr7jeNIHtD3Z0RZaMMy7V67guxVvMWrRMYzb4xQUtf2JyZ7Gm1XEotPu56tnr+d/y/7BgiuOYtyh7acvFEweyr7Lz6b0y9/49MYnGT16NEcdfTRXXH45RUWiYqxAIBAIWueVV16hsbGRAw88MNGmJD1CUPchQqEQXnfKNteJ5U8T804npkjwDkrni4h01DsdY3b+OIo9ebz0y+McMfHPnd4fgCzJnDXzck5+fjH9Sj8hvf+irdbRIwZ6RMfVWkEyM5ozHU8xHWM7RDUSFI/flfyRO/Hp5Tew8D+3oPtqWfW/Z/n9iecJ1dYydNAi9tv1XwwsntMpEd2WqTHMbhTWkmxFmzjtGUwcfQgTRx9CIFjLL3+8yg9vPctXD9xH9pARjFm2jFH7LcGZnh53G+acewEP77ULd955J6ed1rb3v6sYhsE777zDPf+5h6eeegq718Ww/Wdx2PlXkjNmQJcnC6pWlfDiKbcRqtXY5fTl5AyeFGfL44ui2ph64AVkFI1m5cWXU/3bRuZdeGiHCqUVTB7K/g+dx7oPvufV6/7HimFD+euZZ3Heeef1gOUCgUAg6G0sX76cZcuWtX6vJ2iBENR9hEhEQzcMbO14qE3TQEZCN81oz2nhne4ZOpsA3HnvNFhi+PDhu3LHDys4eNwJ2DuQAtAaxSmDOXDUsbz04m30nzgb1dHyYtpmu6ymat5y9+V4bWde9eQDLuKlf+zJ6386ibrffyUjYwAzRxzPqOH74nKmx93c5uY1r9Mfz5BwWZExNANN01BVFZczvUlc19av57ufn+LLW+/i/euvYciuezDy4GVkjBiJrmvouoFh6NFCN1bAesxCWZaQZRlZVlBVtWlxOBwtqpx6snOYcebf+PuFF3LggQdSUNCxnOX22LRpE8uXL+fOu+9iw7p1DNllMrvf9mcGzB+P0pFWbdvgp6ff582/L6dg5E4sPO7ShOZKd5YhMxfjzS7mvfv+gq+sht1uPAnV0bEJoP5zxtLvmTH8+sIn/Pu6+7j7P/dw3jnncuaZZ4q8TIFAIBAAUFlZyfPPP8+7776baFN6BeLXs48QCoWQZQmbvO2bzJiH2oSooBb0HJ17vzvrnY6x/8B5aHqId1a/1LkNY5jWeXLohJNx6DLfv/7AVqu02i6rWWssq5p313bfIbacC+qA8980DEq+e4NPHjgHU9dIrU3lgN3u4egDXmDy+CO7TUw3R2q2xHKtY/91JYKhObJqeao1TUPXdTRdR9M0PK58Zk46lWOXvsbe828g9F0lzx11KC8cfQSrXn6BSLABjDCqpONQTZw2cNrAoZqosg5GGC3sx9dYR1VVBSUlJfz+++/89tsq1q9fR2VlBT6fjzEHLSNt4CDOPOus7ToO0zT56KOPOOzwwygqLub6O2+m+KDpHPvRLez1778weJfJ2yWm9bDGWxf9l9fP+Q8T9jqTuUff0KvEdIy8oVPZ9YwH2PDRHzx7zA1E/MEObytJEiP2ncnhb1zDqON34eLL/4/J06bw3nvvdaPFAoFAIOgtPPzwwwwdOpQZM2Yk2pRegRDUfYRQKBj1RratYsxo/2kTU4jpHqXzQinmnZY64Z2O4bE5OWjIQp784b4u9arUDRNJlnDZXJw05Vx+fusRGqtKN9sWbZfVQlCb1gQAgNTdYro5HRDVhqGz7ssXefXa/fjov2dR5BzJsUteZa8ZV5OfMhLTMDET0IFEYtsCu/P/gaRIm1uqmAYS1sSZIkvY7TZGDtmFQ/a+l+MPfZn+6gS+uPY6XvvTUZS+9iKpTomMNCfpqdaSkeYkM81Fdoab3CwPBTle+uWnMqgonf4FaWRnuHGoJn5fAxs3lvDH6tWMOOV0nnjiCR599NFOvx+RSISHH36YydOmMmfOHD7b9Cv7/Ocsjlh5HdNO2bfNytadwbeplv8tu5pVL37DotPuY8T8w3t1cZ+0/CHsevqD1P5ex1NHXE+owd+p7VWHjakn7c3hb1yDNDKL+fPns+zQQykpKekmiwUCgUDQG1i+fDnHHHNMos3oNQhB3UcIhULR/tNtYxoGSMI73bN0PtQbuu6djnHE8N1ZX7+aLzZ+0KntTBPMqKAG2GnA7ozIGc83z93RtI4WtPqaNm+XZRommCaSKve8QNlSVMfKBBgG6758iVev3ofPHrmIYTnzOeHAlewy8zIyUgfi9GYTaWzE1DUM3UiIqG7OlgK7S4sEsipjmlYlf1mxwrYlWWpxPmWmD2LXnS7hlCNWMqH/QXx26708sOdivlx+P2Gfr11DVVXG47KRkeaiIMfLgMJ08rO95I4cxsC99+OwI49k5/nzWLFiBaFQaJvD1dfX889//pP+AwdwwiknIU/M4+h3b2Cf/5zFwPnjO5Qf3BHKv1vNin0uQatzssdfHyNn0MS4jJtoPJkF7HLa/fjLIjx1+HWE6jsnqgHc2WksuvY4lj17Ge//8gXDR47gn//8J5FIpBssFggEAkEy8+WXX/LDDz9w5JFHJtqUXoMQ1H2EYAcqfBtRb6UQ0z1N597v7fFOx8hzZ7LPgDk88f09ndrO0M2o+LL+liSJU6aez9qv36Ji9XcAhP0aitPZ1C7LNKwQcSmR/U6bhYCbpsnGH97htesX89mKCxiRt4gTDniL+VPOxdOs8rlid2JzeAjVVFs5yEkgquOBFA2513Sj3QgFlzOdWVNO5uTD3mLO2FP5/r9P8uCei/ni3v8S9ndcmEkSuJwqWekudjn3DDxpqVSX/copJx1PcVEBF198MeXl5S22qaio4MILL6S4fz+uuulahh+7gKM/vIl5Fx9OWr/cLh17W/z64ic8sfRK8ofMY+Gp9+JKzY7r+InGlZrNoj/fR6jK5OkjryfcGOjSOHnjB7P0yYuZffGhXHr1FUyYNJH3338/ztYKBAKBIJlZvnw5e++9N3l5ne+csaMiBHUfwDAMIpEI9nZavZiGpRZE3Zmeoms5sdvrnY5x7Mh9+KbsM36u+KZD65uGJUYlpeWOh2WNYech+/L107diGiYRf7P8adNqjyXJcpNXO5FUr/+Ot2/7Ex/c+2cGpk3j+APeYN6Uc3A7M1td3+HNxIhoRHyNyGofEtUyyIqErhtW2EE72FQnk8cdwQnLXmOnSWfxwwNP8eCei/n6wYfRgh3PzQWwe73MPf9cflpdxYprl/DXIybz2EN3M2BAf0477TS++eYb/va3v9F/4ADueex+Zl60jCPf/ieTj98LR4q7q4fcKqZp8smtz/Ly6bczbs/TmX7IZUnZEiseOL2ZLDzlPwQ2aTxzzI1EAtuODGgLSZYZe8jOHPHmtajj8pg/fz7HHncc1dXVcbZYIBAIBMnIrbfeyjPPPJNoM3oVQlr1AUKhEJLENis6b64YLSp79yw9752OMSStiIXFU3n02393aH0jGurdmsXHTPwL1Rt+Zd1Xb2NoBqrbtTlvWpISXh3YX1vGxw+ew+s3HkS6kcUx+7/MohmXtPBIt4YkKzg8mYRqajENo4+JaqvHvKabHZ7bURU7k8Ys44RlrzFn/J/56u6HeGifpfz49LMYmtbhfQ9etID+M6Zz2V3vceheY3n134fyjzN25vFH/sukyZO598mHmH/1MRz62tWMOWgeij3+DSf0sMbr5/yHz25/gZ2Ou5lRC/7Uq/OlO4IzJYsFp9xDw9oGXjjpVvRIxz+zLXFlpLDomuNY+sRFvPTBmwwbOZwVK1Z0qS6DQCAQCAR9GSGo+wDBYAibYkfaxsdpGDqYwjvdc3S2SbJFvLzTMU4evZiPN7zDb1U/bnO9mHdaVlrfca63kP1GHs53L96FpMrIqhLNm+7hImRboEdC/PDaHbx81R6E1q/j0D0fZd/5/yI9tX+Hx7C5UpAVG8HqaqvdVx8S1bJinUuabnQqYEJV7EwZdyQnLnudyUMO44Nr/8VjS49gzXvvd0hQSZLEnL+fxze/buLhF77l9kc+5eI73sFIdTPvymXs9J+TsI3Job6hrlsEWqjezzNH/ZPVb/zALqf/l+KxO8d9H8mKOy2XBSffzaZvN/Da2fc0RSZ1lcIpwzn4+csYefRCjj72GHbfcw/WrFkTH2MFAoFAIOgDCHnVBwgFg+32GzYMA0kG+riHJjnomkCIp3c6xujMQcwvmsJD39y+zfUMo20xHWPZ2BMI1Vez8deVzfKmE1CELMrGH97mlav3ZvXbj7DrjMs4bI/HKMyd1KWxnCnZaP4AWsDfUlT3AWdc7HPV9M4LK7vNzawpJ3Pioa8zKG0uL591Ls+deBqVv/za7rapBQWMO+54LrnzPe5+6Xtm/n0JBz97LmP3n0r/gnQyUpxUVlSydu1agsGu5fy2RkNpFY8vvZL6tX52+8vDZBaPitvYvQVvVjELTrqL1W9+w7tXPbLd4yl2lel/3p/DXvkHv9aXMHrsGG655RZ0XY+DtQKBQCAQ9G6EoO4DBIPBbRYkM01LGIhiZD1JF7zTRny90zFOG3sAH69fyS+V37W5XxPazYFOdWZw0KhjWfXOvWjBYMLypn01G3n/nlP54N4/M7JgN45d/AqjhyzeLmEvq3bs7jSCVdWWuz4mqrU+IqpV673RuyCqAdyuDBbNuYDjDnkRd006jx/6J1Ze/g/8beTV+oMR1pfXk7vbPqQMHEDe1KGMWjIdWd08WZTqdVCcn4pdhXXr1rFp0yar3dd2UPnLeh5bfDmqlMuupz+AJ7Ngu8brzaQXDmPesbfwzf1v8NV9r8RlzIxB+SxecT5zLj6U8y++gNk7zeXnn3+Oy9gCgUAgEPRWhKDu5ZimSTgS3qaHWtd1JJk+nz+YHHQt1Ns0TUwzvt7pGKMyBrJbvxks/+KGVl839I71JTcN2H/kkSgRjd8/frTH86YNXeOXlct55R97Q1UdR+7zLPOnnofd5o3L+A53OhISoZoa6wlJRlL6lqg2TbPLohogI20Ai3e7lUP2XU7FBz/x8L5L+ebhR5pydSMRg9KKRsorfcguB2kDcpl15eX8/to3rH3vp63GU2SJnAw3+dleGhvqWbtmDYFA17zVGz75mceXXklWv2nsfOK/sbtTu3ycfYXcoVOZdfhVvHvlCn579fO4jClJEmOXLeDw166m2hNhwsQJXHvttWidyLEXCAQCQeeo95WzqWpNXJaqmg2JPpw+R/wrwQh6lFAohGnSpofaNE0Mw0RRhZjufrquurrLOx3jjHEHsd/L5/J5yftMLZq7eb/RnG2pA9rYNE3cdi+HjT2F+9+8gyFzDsHm8HSPwVtQs+FHPnvkIvxVJSycdhFjhx4Y/wkiScKZko2/tgzV40FxOJt6IBuaVbCst89JSYqMqRvouonSToj/tuhfNIOjljzFNz89wXu338QPTzzDxL+cgWvYGFSXjZSiDBSb9fOSOWY0I488nLcve5JDn/0bdo9zq/FcDhtFeSrVdQHWr19HZmYWWVlZHf6Mf3vlM14+4w6GzTmUSfv9NW69q/sCAybvga96I6+ccScH/e8i8sYNisu43vxM9r7nTH557iOuuPQqHv/fEzx4/wOMHj06LuMLBAKBwKI7ao38m2VxH3NHRtx19HKCwSA21YbchiLSDR1JEt7pniO5vNMxBqYWcMjQRdzz2TXoxmZPkpUH3TGbTcOq6L3niGW4JAer3nmgu8xtQo+E+PaFG3n9hqXk2gdy7H4vM27Y0m47nxWbE5vTS7CyitgEiST3HU+1JFmi2jANDGP7DkaWFSaNWcbxB79CP8903j77bL7/1z9R5EiTmI4x7tRTQHHy8c0vtz2eJJGd7iYvy0ttbQ3r169H0yLt2vHtQ2/y4qm3Mn7P05m8+G9CTLfCqEXHMGDynjx37E00lsWv/ZUkSYzcfzaHvXYNjdkyEydN5NprrxW51QKBQCDYoRB3Hr2cYDCIoy3vNCaGYYjc6R6ha6He0P3e6Rh/Hnsg1YFyXvjlUWu/Me90B/YbE5KSJGNX7Bw57s/8+ta9hP113WZv5Zqvee26xaz76Bn2X3A7+8y7Cbcrq9v2F8PhzcQ0TMK1tU3P9TVRLSsyur6doto00TQDmz2VXXe6lMMPfILQ96W8sM8B/PLwIxjNRJXqcjH90v/j+0c/oPTL1dsc1u20UZyXAqbGmjVr8Pl8beze5KObn2Ll/z3AzMOuYNTCo7t+LH0cSZKYuvRiPOmDeO64m7vco7otPDlp7HnnGSy6/gQuv+YqZs2dw6+/tl+4TiAQCASCvoAI+e7lBANBPGrrOaSGriNBh8J5BdtD10VJzDsty93nnY6R7kjhjHEHcfNX/2KnAbuTastCVjt2cpiGiSRtbo+1y9AlPPrD3fyy8j7G7X1WXO3UIyG+f/kWfll5H2OGHsD8Xc7Hae+5fFhJknF6swjUbUJ1u5Ht1oRVXwr/liSQVRldMwC5c5NupjUJpBsGkiwhKwoSEvk5Yzl8/8f49sfHePfmG1n9zAtMv+wiMkdbVbbzZ0xnyAGLefPix1n25FmozrbrPiiyTEG2l5r6ACUlG8jKyiYra/NkiqEbrLzkfn763wfMP+FWCkfNbXMsgYWi2ph79I28dvOhvH7uf9jzllPjGukR81YXzxzFyr/fx/iJE7jh+n9yyimnJLxPvUAgEPRmVq5cid/vj+uYbrebBQsWxHXMHRkhqHsxhmEVJMtwtOahNqOtsnrxXX+vIrm90zEOHrKIp1e/yx2fXMnf593cMe80UUGtbL4pVmUbfxp/Ov965/8YNv8onN7MuNhXvf57Pn3ofLTGepYsuptBRfPiMm5nUR1ubA4PgcoqPIUFxD6gFqJakXv1ZFVXRLVpmOhRr7asKlsJMllWmDj2MIYN3pWVH13Nq8uOYPjhhzL+9FOxud1M/OuZvLTkPT659RXmnLNfu/vLSHXhsKtsqq4iFAqSn1+AEdF59cx/s+69n1h46j1kD5zQpePfEXF6M5h37K28dvMRfP7vF5h2yr5x34c3L4N97v0r3z/6Nn877xyeeuZpHvjv/RQVFcV9XwKBQLAjsHi/xdQ31sd1zFRvKnUN3RdluKMhBHUvJhQKggl2dWtBrUfbz1j3/0JUdx/b6Z02rPDbnkKRZS6fdjwHv3YRH65/nbkDd2t3G1PbnEvcnPmD9mHF9//mlzfvYcL+522XXYau8dMbd/HDq3cwctDeLFx4cY96pVvD4c3CV7OBcG0t9vSMpucl2fJOG5qBzA4iqk3rmhLrPd6ex9HjzmGfRTcyZtgSXn/hUja89hbTLr2Awp3mMv2yS3nn1NMZsut48icObNdGt9NGUW4KZVU+fv/pV76+4ilqfq1kl9MfIC1/cOcPegcnvXAYsw6/ivev/xs5owcwcP64uO9DkiTGHbqA/nPG8MbZdzN63Fj+c9fdHHTQQXHfl0AgEPR16hvr+c/iRyjMKI7LeJsayzn6iaVxGUtgIQR1L8YqSGZHbiUV3tB14Z3udmJieju807JET8cOj0wfwMljlnDrx//HqNyJZLlz21zXNCzh31poqCIrHDXhL1z33jkM3/kYXGltj7MtGirW8smD5+DbtJZ9593EsAG7d2mceCPJMk5vNoG6TShuN4rd0fxFZDUmqqVe/V1rT1QbhhXtgiS16pXeFoP678QxBS/w4Re38c5pZzJg992YfP7fGLxkP9644FEOefKv2Fxth37HsKkKGQo8+5fl6I0qu5z+IN4duMf09tJvwi6M3uU4Xj79Dg574TI8hd1TmyCtfy5LHr2Az//9AocedijPPf8ct992O6mpoqWZQCAQdIYcTx4FKSLSJ1npxb4VQSDQekEywzAwQRQj6xG69h7HvNNST7s3o3MAJ47en4HeXK5/71x0o+2KvDEhRRseyTkDdqM4bTA/vf7vzptimvz+0RO8dt1iUow0jt7vxaQR0zFUh9uq+l1Rac0uNEeSkVXFEpx6765U1iSqmxUqM6NFx6zUEdnKle7C5I/N5mL+zHM44oAn8H+xhhf3PZCsceOJRCQ+uvHFDo1Rv6GKpw+/A1XPYNGp9+FIycLY8vMQdIpxe55KVr8JPH/CLXEvUtYcWZGZ/uf9OPjpS3n1w5WMmzCejz76qNv2JxAIBAJBTyMEdS8mGAy22n9aN/RmYlqI6u5h+wRUorzTMVRZ4Z+zT2N19Y/c/+XNra5jiUQJ2vBQA8iSzNETzuT3Dx/HV13S4f2HfDV8eN/pfPW/K5g/+RwOWHgPHldOF46k+3F6M8EwCdXUbP2iZBXlwqRPiWpNsxYkCUlV4tKKKi9nDEcs+R/TRx/HF1ddizszj+8eeZ/1H/6yze0qfirhycNuw5s2jIUn3407NRNZltE1zZrwEXQJWVaYdfg1BKsjvH3xA93S57Q5eeMGcfDzl5E+ewhzd9qJK664QrTXEggEAkGfQAjqXoqu60QiERxb5E+bpoFpmFFB3btv8JOf3umdjpld6Mnmxtmn8+SP9/Haqqe2sDFW2Tsq+rch/KcX78yQ7NH89OqdHTKj/NePePWa/Qht3MCR+zzNxJGHJ3efdEnGmZpDuKERPRBo5XUJSZUtUa31/u9c7KOQVcUqvBbHSTlZVpkx6USOWvos9hobimrj5b8+QKCmsdX1N3yyiqePuoO8IXOZd+xNqA4XAIosocgyuq4JUbYdODxpzD36Jn576TO+e/itbt+fze1k4T+OZa/bT+OaG69n54UL2LBhQ7fvVyAQCASC7kQI6l5KMBhEliRsSsv8Q13XRah3t9P1ntOQeO90c2bmj+WSqcfxr48u4aN1bzY9b+qm5ZU0zXa9k5IkcczEs/jj06doqFjT5nqGHuHb52/gnTuPZXT/vTlszyfISh8ar0PpVhSbE7srjUBlJWarAi4qqiXQe2GvajPqYTd0A2S56VjMbpqUy0wfxKH7PsT8Gedh+HUe3e8G6tZXtlhn1Stf8/xJ9zB05sHMPPQKZMXW4nVZllAUGcPQhajeDjKLRzH1wAt5+7KHKPvm9x7Z59A9pnHoS1eyLlTF2AnjeeGFF3pkvwKBQCBonzVr1rD33nuTmZlJXl4exx13HD6fL9FmJTVCUPdSAoEAdtXRwntkYmI0eacF3cP2CYxY3+lEe6ebs3TIAs4cfzBXvXMm7655BcOwZJQkS20WJNuSSQWzGZM/jR9evKXV1xsr1/PWvw5nzYdPcsCie9h56t9RlfaLUSUTDm86sqwSrKyk9fNAQlKs8GhDsyJFegOGbmJo0a4ATeHdErGTpbtEtSTJTB53BEcvfY40BvDIPtfzzUPvYhoG3zz0Lq+f8xAT9zmLSfueuY2Ug5ioNtB0rVvs3BEYMnMJg6buw4sn30awtvVogXiTUpjF4hXnM+rIndl/8WLOOusswuFwj+xbIBAIBG1z0kknkZmZSUlJCT/++CO//PILV1xxRaLNSmqEoO6lBFspSGZV9ib6qW6fF1WwLbbTO91OCHUiOHbUvpw94VCuffdsHvv27mjqtNluuHeLMSaexbqvX6Km5OcWz6/76iVeu34xXj2Fo/Z9noFFO3XHIfQAEs7UHPRQiHB92/0gJbl3FCszDcubjhkV0orC1ud294pqgIzMQSzd817mjDqNT298jQd2+QcfXPc8s4/4ByPnH9bu9rIkoSoSpmGiaUJUd5UpB1yAqmbwyll3Y/ZQbrqsyMw860CWPHge9614gNlz57BmzZoe2bdAIBAIWuePP/7g0EMPxeVykZWVxZIlS/j+++8TbVZSIwR1LyUQDOJQnc2eMdENw/JOJ+89fC9n+yYpNnunlfiZ1KEdRx/bMf1PI/bkxtl/4Ykf7uLSlSdT6SvrVG7zqNxJTO23gB9euBkALRzgs0cv5pMHz2Hm2FM4cNF/8Liyu3YMSYKs2HCmZBOqqUUPbaMycrTFFERDwJOodpYZzfW2ai3ISKrSzqTJZlHdXZcWR2oq40YcwEFz7iFNG4CMQqC+EmMbFehbWChJqIocrUwuRHVXUO1O5vzpBko+/pnP7+pY9fV40W/2aA558QqqHSEmTJrI888/36P7FwgEAsFmzjzzTFasWIHP52PTpk08+eST7LXXXok2K6lJCkHd2NjItddeyyGHHMLRRx/NSy+91Oa633//PaeddhpLly7lb3/7G+vWrWvx+gsvvMDRRx/NIYccwnXXXYff7296bcWKFSxZsoSDDz64afnhhx+67bi6i1AohGEYLQqS6YZhBWmKcO9uYvulxGbvdBzM6Swd2acJuxRP43+7X0UkVM5Jz+3FI9/fSWO4bW/slhwz6Sw2/vQ2az5/jjduOIjKHz7kkD1WMH3sCT0f5t5NqA5PtJVWBeY2BV+zEHDDsLzVCZzsiglpK086mvPd4erdsROoe0S1aegYmo7XlcfSXf/LrjMv4/uX7uLNW46nftPajlko0UxUR7rByr5Pau4AZiy7nA+vf4KSz7ZdfT3eeHLS2Pf+cxh99CIWL17M+eefLyZHBAKBIAEsWLCAn3/+mdTUVPLy8sjKyuKEE05ItFlJTVLc4d51113ous7y5cu5+OKLefjhh/n222+3Wq++vp6rrrqKpUuX8sgjjzBjxgyuvPLKpoI0X331FY8++iiXXHIJy5cvJxKJcNddd7UYY/bs2Tz++ONNy5gxY3rkGONJIBhEVVQUSY0+Y0bDvaUmX5II9+4OerF3uhMMSMnnwYUXc+HkP/HGqkf50xPzuPmDC/hswzsEtVaqXDdjUMYIdhqwB1+suJAcxyCO3OcZCnMmds32JMbpzUKSZKs/dTtvciwEHCxvdU+HgZtGSyHdMk+6M8TyquPrqza0CL7SMjBMPBmFyLLKmMGLOWa/F/Hqabx83SH8tPLBDnmrN4tqhKjuIv0n7sbwnQ7hpT/fjr+q45Np8UBWZGaeeQD7338Ot9/zbxbusojy8vIetUEgEAh2ZHRdZ/fdd2fvvffG5/NRV1dHTk4ORxxxRKJNS2oSLqiDwSAffPABRxxxBG63myFDhrBw4ULeeOONrdb96KOPKCwsZOedd8Zms3HAAQcQCASa4vrfeustFi1axODBg3G73Rx++OG8//77hLYVmtkLCfgDOJuFexuGgYlV9VZEe3cHcfBO68nvnW6+rizJLBk0n5f3voGrZpxIyL+aq97+M0tXTOa05/bl2nf/yn+/vJHnf36It1e/wBcl7/NzxTf8sfFL9i7eB8PQGTv0AJz21O46qsQiSbhS86x86trajmyApCiWsDZBj3SvsI5V7dZjxdG2S0hvSfxCwPVQEF9pGbJsw51eiKSoyIqCoRt43bkcsOAudpt5OT++8h/e+Nex1JWvbt86Iaq3m4n7nY3DlcerZ97VY/nUzRmw0zgOeeFy/qgvZcLkiXz00Uc9boNAIBDsiNTU1LBhwwZOP/10nE4nqampnHLKKbz4Ys+mAvU21PZX6V5KSkoA6N+/f9NzgwcP5plnntlq3XXr1jFo0KCmvxVFYcCAAaxdu5YJEyawdu1apkyZ0vT6gAEDMAyDjRs3Nm33xRdfcPjhh5OWlsaiRYtYsmQJcofDHpODQCBAqi2t6e9Y7rQk0eva9fQettM7DcjJ7p1upR6VTVLZvd8Mdu83g6AW5rvq3/ihejWr6zeyvuIjvgzUUhtupD7cSEjfPHGlSAqvvHsmRbnTyMocRUHOJIrzp/UpgS0pKq7UXPx15ch2O6rb04GNJCRVQTJNTMNAjxhWZEn0+7s9mKb1P9OwzjlJlpAVGbol1D7W597E7GKn6oivkUBlFXZXCg5v1uYXZNl6f3QDSZUZM2QxAwpm8drHl/DKdcsYt/epjJx/OLLS9s9XTFRrukFEi2BTbW2uK9gaRbUz90838PI/D+KzO19g+p/363EbUgqzWPLoBbx3xcPMmz+fW/71L04++eTk7lkvEAgEvZzs7GwGDx7MHXfcwfnnn08kEuHuu+9mwoQJiTYtqUm4oA4Gg7hcrhbPeTweAoGtQ0sDgQBer7fNdYPBIB7P5ptaSZJwu91Nr8+dO5fdd9+djIwM/vjjD6677jpkWWbJkiUtxiwtLaW0tBSAioqKpt5rRgJm6ptjmiaGaRKJRHC4rPxpwzQwTRNFaX7TLG444sf2h89b3mm5Zz+WDhYia7HuVn+33Nip2pmWO5ppuaNbrm4amIaOZujURQLUhRsp81fxc80qSoMNrKr4iFd/fpCwHqZ/3lSGDdqXkYP2xm7rgABNchS7C4cng2BlFe58G7K9g63ApFh+tVUczNSt73aTsJaiInUbn58loKPV2JtSCiTLGx0XT3S7BxGzJPot6ej+TEI1tYTq63F6M7G5tp5kkRQFU9cxNQNJVfC681iy4N/89MdzvPnqlaz/6g1mHn4paflD2rZOiOrtwptdzIxll/HBDedSNH04RdNG9LgNqkNlwZVHkTthEH8560w+/exTbr/tdpxOZ/sb7+CYpmnVbjAMMQnRR4jdgyb6XlTQ93n66ac566yzuPnmmwGYNWsWDzzwQGKNSnISLqidTudW4tnn820lsgFcLleLImMAfr+/aV2n07nN15t7wYcOHcrBBx/MK6+8spWgvuuuu7jsssua/l62bBkAZWVlnT28uOLz+YiEI8iyjE2xW32ndR05GkpseadF/nT82H53/2bvdJJGQXRGeLeysWnomKaJLCk4VBu5qpNcVwbD0voxIXMgDZF60rzF6KbBt5WrWLnhU1756p+89/nVjB12CFPHHofHlRPHA+p57O40DC1MYNMm3AX5SNvwnG6FJCEp1psvmWY0197yXjf/bDZLV7Z4Xmoaw7ppTlROgdkhWW2aBoGKSvRgEHdaHop96+t806iKgqlp1jVOUZAkidFD9mdA4Wxe+/hSXr7+UMbtcRKjFv4JWWldLG8pqlVFFeKiE/SfuBvlv33GS6fdybIXLsOV4W1/o25gxJI5pA8t5OlTb+fLOV+x/N77yM/PT4gtAkGi2bRpU6JNEPRxxo8fz5tvvploM3oVCRfURUVFAKxfv55+/foBsHr1agYMGLDVuv379+f1119v+tswDNasWcPSpUsBK8R79erVzJ8/H4C1a9ciyzKFhYWt7rutG6uTTjqJ/fazQtwqKiqa8rkT/QPu8XjQdR2n6kRCis5Am6iq3BSAKYg3fdw73RbtbWuaGIZVgVeWWhcpXnsqjZF6guF6XI50JueOYnLuKM6YcDhvrP+Y5T89z32/rGDymOOYPu5EbGrb4irZcaZk468rI7CpAnd+XtfCrCWp6X1sKi64xZdaavGPZBKGzUPAW5fVRiSCf9MmMCXcGYVtiuAWo0Y91YZuWOHrgMeVw+Kdb+OXNS/xxpuXs/6rN5hx+KVkFLXuQW0uqnVdQxWe6k4xef+/UXXL17x57r3sf99ZCZuQKJo0lEOev5RXTr2dPffei6effIqZM2cmxJbeQKyFnKqKSaS+gmEYbNq0idzc3F6XqtjXSLSDTZB8JPwb6XQ6mTNnDg8//DB+v5/Vq1fz5ptvsmjRoq3WnTVrFiUlJbzzzjtEIhGefvppXC4XY8eOBWDhwoW8+eabrF69Gr/fz8MPP8zcuXNxOKzw6I8//piGhgbAEu1PPPFEqz/IBQUFTJ48mcmTJzNu3LimMHJZlhO6SJKEpmk4FCvcTTd0pO5Kkdzh2X5Pv2lExUUiPqAuFCJr8dw2BjBNA8PQkJCQ5bZv1mRJJs2eQTBU26JCs01R2XPgXB7d42ounnY8v//2GA88sydrSt7vgNFJiiThSs3F1A0CFRXEZ3rL8j63uiSVmI6x2S5zi5JlWsCPr7QUWbbhySjokJi2hrRC481o6OrmpyVGDtqbY/Z7iRzHYF654Qi+efF2dC3c1jCiUFkXUWwOZh/5TzZ89DNf3fsKmz/nnl/c2ens/9B55C8ay4KFC3j44YcT/rssFrH05AKJvxcVi7jpFmxNUpwVJ510EgBHH300l112GYcffnhT8nvzXtGpqalccMEFPP744xx66KF89NFHXHTRRSiKVexp0qRJHHLIIVx22WUcffTRKIrSNDbA+++/z8knn8zBBx/M1VdfzcKFC7cK905mQqFQk4carPwoWd7cKEuEe8eL+Pj6rb7TCfJOd5RO2RYN8TZ0ZElGltV282bdNi+qbCMQqtnqNVmS2WPgHP635/XsVTyRp948njc+uphIO625khVJVnCn5aMHwwQrq9hxY0aaCWvTJFRbg39TBXZXGq60LnjvJQlZVTF1Y6uK0x5XFvvOu4n95v+LNR88yyvXHUrF6m/aGkaI6i6SmjuA6YdcyntXP0bpV78l1BbFrrLwqmOYc9FhHHPsMZx77rlNrTMFAoFAIEgEkmmKutDbYuPGjdx9992ceOKJbYaO9xQHHXQQf7z9NSt2uwJDNzAMHcUWDfcW+dNxJA6FyAwrHH9blYi7hY6a3lZYeNP2W7xgmlEvs9lmiHdbBLUAFf4y0rxFKErbRbu+qfiFCz++A0NNYe+dbyUrfWiH95FMGFoYf20pNq8XR2YGO+p30tR1AhUVGOEIztQc1G3kS3dsQBND05AVOdr+qyXBcD1vf34tP/z2FMPmHsyEvU/D5ty68J1pgqZbhZpUtWe+nyabC8eZTaH8ZtN1u0VufHOa8udjVeClpvZ7ElKPh/J++thllK9+l8NfuRJnWuKLCq7/8AdePvU2dp47j0dXPEJKSkqiTUoaRMh338MwDMrKysjPzxde0gTT09pAkiT+s/gRCjOK4zLepsZyjn5iKUICxo+E51ALOk5paSmKpCABhqEjy11rVyPYFvGZlGjyTvckHb0ubktMt/JCrIq3hITUAa/0ljhVFy7VjT9YRYonv5UdW0zIGcEju/+Dyz69i0deXMruc69j2IDdOrWvZEBW7bjS8gjUloEk4chIZ0cT1XowQKCiEllW8WQUdq5QW1tEPdWGpiHBVjeUTnsqe8y+itGD9uHVjy/hpe/eYerBf6do9E5bDtOUUx0THPGhWVE5M/q9MZvkcpMwjp0KmyP322mZ1kx0WxXdiabXx8a1hHVssaKWuud8m7zkPF67+Rte/9t/2OfuMxIu1PrNHsPBz/wfLx53E7PmzOalF15sUXxUIBAI+gKp3lSOf+bQuI8piB9iiqsXoes6kiRhGIYl+0S4d5yJX6g30KoXrduIRyGyVgbtbIh3W6Q7M9H0IOGIf5vrpdg9XD/nLI4fvR8vvHMGH39ze6+cQVVsTlxpeUTq6wnX1rLjhH9HQ7zLN2FzeHFnFMRHTMdoFv5t6K23julfMIuj932O0cV78+49Z/HBf88jUF+55TDR8G/Li9dZYi2JdF1H0yJEIhHCkQiapqEbBoZpNFVfV1QZRVWQbQqyTUZWrUVSYou0uRd5a4siNa0b21a2WWMqqrU9kolhWvaEI5Y9mq5Ffyvid+6pdidzjrqBte9+x9f/fS1u424P6QPzOfCpS/ClSkydMY3PP/880SYJBAJBXKlrqGs2YRufpa6hLtGH1acQgroXoutW7nSTc2BHuVfvEbZXkUZDvWUlLtbEnfaEd+ykMq2WbKZpREO8t+94VNmG15ZGIFjdrkCWJImjR+/PP+eezRff382r75+LrrdebCqZUewuXGl5hOvqCdXU0Ne/qIYWwV9aRqS+EXdaHg5vJt0yyRcV1U3naCvvq011MX/KORy5z5MEN2zkxX8cwG8fPtkiB7ujotqMpjvoukZEixCJhIloEXRdbxLOsiJtFs1NgtkSxEhS98x1StZBWKK7pdC2WrGZ6LpOJCqw9ej3eXtJyxvE1KUX8d5Vj1D+7R/bPV48cKZ52Pe/Z1OwYAxz5+3E008/nWiTBAKBQLADIQR1LyMWQhgrRiaIF3HyTus09QbuMTrrnW5tvWaHv7mKN2yrindnSXWkAybBcMdmRXcqmsy9i/6PstL3eOaN4wmFG+NiR0+i2F240vOJNDT24UJlJpGGevwlG5FQ8GQWbbO/dFyIVv/GBFMz2pykyc0cxeF7Ps7c8Wfw1dM38vq/jqFm46/Nh2khqjd7nbWo1zmMpkXQo55eSZaQlZjHebNwRu4m0dwVJDaL7GYC2zCNpuOKea+7yuDp+zFw6t68eMptBOt8cTS+6yg2lQX/OJZpf1nM0qVLufHGG3tldItAIBAIeh9CUPc6zBbeaRHuHQ/iFC9tmhim2bOh3jE6U4hsW6vEKcS7NWRJJs0Ra6PVsTDb4RkD+O8ul2H6S/jfK4fhC1TEzZ6eQrE5cacXoPkDBMo3QRy8hMmCoUXwl5UTqqnFkZKFKy0PqaeiMyQJSVVBkjA0fasK4DFkWWHyqD9x7P4vk0E+r1x/GJ8/fQNBf4OVR60bQCxkWot6nc2mcO2Y11lSZMvjnEziuSNEBbYcOxZFwjRNy+MeiVjH3AVxPfXAC5BML6+f+5+kEa6SJDH15H3Y87bTOP+Cv3PaaaeJCuACgaDXk5aS2qJWRjyWtBSRQx1PRFGyXkRjYyNOaOmdTo77mD7A9t8h64aZOO90R9drwzttYkYFSeereHcGt82LL9yAP1iF153XoW3yPdnct8slnPnuDTz20iEcsOt/SU/tXYWHZNWOJ6MQf10ZvtIy3Lk5SGoHezEnJSbhOis/XLG78GQWIcmJ+TmRFMUS1bqBZOhISuut6ryePPbb+RZWb3iXNz67gvVfvsqExWfRb+JuVoGz5tv05arIsrS53WK0GwGGhq5LyLKMosh05Hqo2l3MPepGXr1xGV//9zUmHbN7NxvecYbtNR1PXjr3n3Aza9at5fFHH8PjSXxVcoFAIOgK9Y0NPLL4/8jzZMRlvHJfDYc+c1lcxhJYCEHdi6ipqaEQb5++1+t54jMjEavs26OtLOLmWDcwTaPLVbw7g4REujObTb4SIpofm+ru0Hapdi937Hw+5394C4+9fAhLdr2P3MxR3WZndyApKu6MQoL1Ffg2luHKyUZxdXNodDegB4MEq6owdQNHSjY2pzfRJiHJMpIkYxo6hqZbfzd5kluez4OK53NMwUw+/f5uPl1xGX988CSTDjqX9MJhm79TptlpUW3qhuUpj+gYuhHtm23Gehpuke8cK1KmJFS8xwqfWV29ooXWItEIFUVGbqdTQVr+YKYddDHvXfV/FEwaSv7EIT1kefsUThnO0icv4YVjbmDegp15+YUXyc3NTbRZAoFA0CXyPBkMzIpPiy6bve0WpoKuIUK+exFbhtWJcO/tJX6lsQ3djPaHTcLPYhuHaTYVHlPiHuLdFnbFjteeij9Q1akiSU7VwT/nnsVO+WN44pXD2VD+WTda2T1IkowrLQ+7KwX/pk29qliZqUUIVlTgLy9HUZ14MouTQkw3IVne6qaCZZqOqTcTtM1QFQezJ5zOMfu/SIqWwWvXHcYXT1xDyN8sv7+tMGYTjLBGpDFIqKoRf2ktjeuqaFhbia+khkCVj0hjGD1sYhoypqliomIaMnrYJNIYJlDZQOOGamubjbWEanzowUjiToVmYeGKKoNkokfzrXVj2yHTg6bty+Dp+/PCKbcSrE2uOgcZg/I58MmLKdfqmDFrJqtWrUq0SQKBQCDogwhB3ZvpHffhSc72C0jTsOoMb28l7M7tNPrYnvlt9pw2MXSNzSHePXspSHVkACbBUOfaNqiyyqUzTmLxoJ146vVj+H39W91jYDdj92TgTssj0tCIf2MpRiR5q5ibhk6opprGko0YER1PRiHOlOzE1AroCNHcaktYYwnrWI71FiI5LaUfixfczgGL7qb6hy946Yr9+fW9RzH0CACmYWCENCINQYJVjfg31tKwtoLGDdWEqnzoERPF4cKRkYmnqJCUAf1J6d8PT2Eh7rw8XDk5uHKycWVn48rJwZ2Xh6ewkJT+/fH274crNxfV6UYLaPhKa2lcX0WwqhEj1PlWXnFD2uxFl2QrlD4SCUerhLf+ozN5yXnY1ExeOfOuNnPZE4U7K5XFK87HNiSLGbNn8umnnybaJIFAIBD0MZL0jkjQcZLQI9oriN9shG6YliDtqY9iOx3rpmFgGDoSclyreHcGWZJJd2QRDNd2uiWWLMn8ddKRnDBmCc+t/DPfr3qym6zsXmK5x7Jsw7ex1PJWJ1HBMtPQCdfW4NtQguYL4krNxZ1egKz2klAxSUJSox5rWQbD8lobEc0S2LoeDcs2GFAwmyP3epo5Y07nxxfu4uUrD+K3lc9Tv7qCxpJqQjV+jAgoTjfOnBy8/Yrx9u+HOy8PR0YGNq8HxW7v1CSDrCioLheOjHQ8BQV4+xVjT09HDxk0llTj21hDpDHYtqe8u5FAUiSrmrkiY5gGEc3qtb1lZIlqdzL3qBsp+eRXPr3j+cTYuw1sLgd73nk6/XafxPwFO/PSSy8l2iSBQCAQ9CGEoO6lmM3+L+gscQz1NqyxktJbt+VhmluGeCskckLGZXPjVNz4g5V09lyWJIljRi/mgqnH8fpHF/LxN3ckTaXhziDJCs7UXFypuWiNPho3bCTS2Egiv9umFiFUXY1vwwYijX4c3iw8mUWojo7luycdkmTlVKsqss22WWDHzn3TWhTJxqSRR3Dcfq8yIn8hXz1/JV88dyFhavAWF+POy8WRkY7N7bbGiDOyomBPScFTkI+32Go9FqxspHFDNZH6QOKENViFzJqFg2ua1ZO7eXXwlJz+zDz0Sj6+8UnWf/hD4mxtA1lVWHDl0Uw6eS/2239/li9fnmiTBAKBIClZtWoVu+22G+np6QwYMIB777030SYlPUmoAgQdovdphyQjHkLSqpAr91SbIGuXFp3sOW0VHLLCSBMR4t0aVoGyLDQ9TCjc0KUx9h+ygH/OPZvPvruTNz66GN2IxNnKnkF1uPFkFmN3pVhitqSnhbWJFvAT2LSJxg0l6IEQzpSc5MuTjgcxga0orS4udyY7T7+AYxa/TKZcwJv/OpQP7jud+rLfe8xE2WbDmZWJt18xNm8KwRqfJawbg4m99jcPB5doar0VE9b9Jixi5II/8dKfb6ehtCqBhraOJEnMOGMJC648iuNPOIGrrrqqV07ECQQCQXehaRr77bcfO++8M5WVlTz11FOcffbZvPPOO4k2LalJ/F21oIuIYmRdI46h3noC2mRBp3tOm4aBqcdCvJWEhHi3hSqrpDky8AerO9ybekt2KprM3QsvZt2613j2jRO7LM4TjiRhd6fjyeyHavcQqq6mcf0GQrU1GFp3TBSY6KFg034CmyqQDBl3RiHujEJUx47dZig9pT/77HQjR+zzFEp1gFeu3YdPHjqfxsr1PWaDJMs40tPxFhdj86QQrGzAt7EGPZjgnHuJFnnWuq5HhbXOhL3PIDVnOC+efBt6OIG54Ntg7LIF7HPXX7j8qis444wzutSHWyAQCPoiv/zyC2vWrOH8889HVVWmTJnCkiVLuO+++xJtWlIjBHUvREyod5X4hXrH2mT1aKh3Z3tOA0YsxFtOfIh3W3htqdhkO/5gFV2d8BiTNYT7d70c07+OR19cSk39mrja2JNIsozDk4E3qz8Odwa6L4hvQwn+jRsJ19agh4JdzLU2MSIRIo0NBCsraFy/AX9ZOXowjMNt7c+ZmoNic8T9mHozeVljWLrLvRy824OE16/jpX/swaePXNjzwjojHU9xMbLdga+0jsCmekxt2xW4u9+wzXnWkiKh6wa6YTLz8GuoW1fD25c9lFj7tsHgXSaz+KHzuO+h+zlk2TJCoVCiTRIIBIKEE5tgbB69Y5om3377baJM6hUIQS3YwYiPoLTaZMk9553u5FyAaRoYhoYE0cJjyftVlySJTFc2Ec1POOLr8jiF3hyW73IpI7yZPPLigfyx4e34GZkIJAmbKwV3RiGerGJUuwfNF8JfVk7DuvX4Nm4kWFFBqKaGSEM9EV8jmt+H5vcR8TUSaagnXFtDsLISf2kpjevW4yspIVRTB5qEw5OJN6sf7vQCbK6U5KwDkEQU509j2e4rOGDRPQRX/8FLV+3OJw+fT335Hz1mg6wouLKz8RTkY2gmjRuqCdf5k2KWVZI3C2u7J4NZh1/HD4++zbePrky0aW1SOGU4Bz5xEW+8v5I99tqT+vr6RJskEAgECWXkyJEUFBRw1VVXEQ6H+eSTT3j66afx+/2JNi2pEXdQvRIR7t154veeGbE2WT0tQDoY6m0aPd9benuxyXZS7Rn4A1UY7fS93RZem5sbd/orhw/bjWfeOpn3v7yxy6HkyYSs2LC703FnFJCSPQB3ej42ewoYMkYwTKS+kXB1LcGqaoJV1YSrawnXN6L7w6BJqDYPzpQcvNn98Wb1w5mag83pRerJ/P8+gCRJDCycw6F7PMKBu96LvqGUl6/eiw/uPZ2qtT03e684HLjz83FkZhKq9Vth4KHkqB8QE9bZQyYyccm5vH3x/fz41mdEIslh35ZkDSviwCcv5of1vzFv5/mUl5cn2iSBQCBIGDabjWeffZa3336bwsJC/vrXv3L00UdTXFycaNOSmviXKhUIko54em8SWIisvdUMA9M0kJCihceSX0g3J8WeRkDz4Q9W4nXn0tUJEFmSOWncUsZlD+Xij++kpOwT9ph3A2nePvJjIEkoNieKzZloS3ZYJEliQMFsBhTMZuOmr/j0h7t546aDyRk0meELjqVw7IJuv0ZIkoQ9JQXV7SZUXYNvYy32VCfODC/Iif/uS7LE0LlLqS35kXfP+S/67ceSPbCQrMws7Pbkar2WUpjFAY9fwAvH3cSsObN547XXGTx4cKLNEggEgoQwbtw43nrrraa/ly1bxsyZMxNoUfIjPNS9ksTfLPU+4vOe9Xghso6EejdrhyVJiestvb1IkkSmM4eI5icU7nrod4zZBRN5dI+ryZM1HnxuX75b9YSo6CuIO4W5k1i84E6OWfwyBbZhfPLA2bx8xW78/Na9hHy13b5/WVFw5WTjzstF80do3FCN5k+OfGBJkpi89O940vrz9T+extfYwOrVq9m4sYRQKJho81rgykhh8UPnIg9IY+acWXzzzTeJNkkgEAgSwnfffUcgECAYDLJ8+XLefPNN/vrXvybarKRGCOpeRDic4MquvZL4hXpvLkTWw2Gy2xTTLdthyVLvDuG1KXbSHJn4g1VxCdXOcWVyx87nc9q4pbz9yeU89frR1NSvjYOlAkFLMtMGs+usyznxwHeYNGgZf6x8mOf/bx6fPHQeFX980e2TOarLhaewENXjxV9ebxUt0xNfvVpR7cw55kb86338dOerpBZ6Cekh1qxZy4YNGwgEAok2sQmb28led/2F3DkjmDtvJ9EmRiAQ7JCsWLGCoqIisrOzuf/++3n99dfJyspKtFlJjRDUvYhgMLlm9JOf+IZ6602FyOI47LZ3ue2XDR0jSdthbQ9eWyp22YYvUEE8PkNZklk2fA8e2/NacgwfDzy7Nx98eRORiCiwIYg/LmcG08edyPGL32Dfef9CKq9l5a1H8Mo/9uSnN+7GX9t9ObqSLOPMzMBTWIARMaze1Q2BxPauBlyp2cw97mbWPPcVv634gNR8L+nFqWhShHXr1rFu/Tp8vu2PSokHik1ll+tPYMSyeey2+248/fTTiTZJIBAIepSrr76a6upqGhsbefvtt5k4cWKiTUp6RA61oI8SvxZZEK3qTQ8WItuW+aaJYejNKnj3DSEdw6r6nUOZr4RgqB6nIy0u4xZ787h95/N5c/0n3PT1Cn747QlmTjyDMUMPRJFtcdmHQBBDlhWG9FvIkH4LafCV8ePvT/Pde//j2xduJG/oTPpP3Zuicbvi8KTHfd+K3Y67oIBIfQPBqhoiDSGc2V5ke+J+8jP7jWb64Vfw8bV/J21wLkU7jyYl14M7w0mgNkRJyQbsdgdZWZl4vSk9dl3TgmECNQ0EaxoJ1voI1fsI1fvx5KaTP304Bxx4IPN22okBAwbi9/sJBIKEQ2HC4QiRSARd11tEHyiKgmpTsdlsOOx2XC4nLrcLr9eD1+slJSWFtLQ00tLSyMjIICsri+zsbHJycsjKykIW1fYFAoGg1yEEtaAPE79Qb8Ok5wqRbUNMm4aOaZjRXGm59ZX6AKpsI8OZRU2wEpvqQlHiU8RIkiR26T+TuYWTeWzVKyz//Do+/+5upo0/hdGD94/bfgSC5qR48pkx/hSmjzuZ0spv+OmP5/j+2Zv4/PFLyRs2k+KJu1M4ZgGu1Jy47VOSJOxpqageN8GqahpLanCkuXCkexJWtKz/pN1oKF/Nu2f8lz0eP42MkYUoNgVvjhtXhpNgXYjSsjJUpYLMzCxSU1O7JDBN0yRU56OxrIaG0mp85dU0ltfi21SLv7wOf3kdvsp6AjV1RJpFfsmygsOVgsPpxWG3lkH9ZlOySqJuYx0p3gxUJQtVseGUVTyyDVmx2idKSJiYTZFDekQj1BDGp4WIaEEiegURfS1hzUco3EAgWI8vWIfPV4sR7SuvKAqZGdnk5xdQVFTIgIH96NevH/3792fgwIEMHDiQwsJCFKV3p/YIBAJBX0MIakEfJL5txXq853QrmKZ1o9ZXvdKt4bZ5CWoBGgObSPUUxrWXtlO1c9So/ThgyCIe+eVlVnx2NR9//S8mjjqaccMPxmlPjdu+BIIYkiRRmDORwpyJLJh2IRvKP+PXda/w0wu38vljF5PVbzz5Y+ZTMHInMvqPjcsknqyquPNyifj9hKqriTSGcGR6sHkTUyV+9O4n0lCxhreOv489nzoDd671XVNUGU+WyxLW9SEqKiuorKwgPT2DjPR0FHXz7YqhGzSWVVO/oZL6DRU0lFTSUFJF/boqGkqqaSivRAtZhdlsdieelGxSPLl4nXlkuEZR7M3Ck5OF25WJ25WBy5WOy5mO3eZp9doa8YfwbaohNTWNvLy8uE5jGqZBIFhHY6CKRn8VDf4K6hvLqavcxGdrS3kr8BU19SVU15VhGDo2m51+xQMYPnwYI0cNZ/jw4YwcOZJRo0ZZtu0Avw0CgUCQbAhBLehjxDdZ0NCt8RIW6h3rK40ZzZXuu17pLZGQyHBmUebbiD9YjceVHfd9pNg9nDhuKYeP3Junf3+TFT/dx8ff3MqowfsxfsRh5GaOivs+BQKwvKH9C2bSv2Ami6ZfQnnVD/yxYSV/fPEOP7xyG3ZnCjlDppEzbDo5Q6aSXjgSWen6T7bN7UZ1OgnX1ROsrCNcH8CZ5UVx9Gy6gyRJTDv0Mt658yRWHn8vuz1yKjaPo+l1WZZwpdoxQyFqVpVT8tZ3+Eqq0ar9hEobaSiponFTpVU/QpZJSc0hNaWQNHchRd6hpA4uJGV8HqnePFI8+Tgc2x8+bnM78BZk0VBWg65pFBQWIsdJuMqSjMeVgceVQV7m0DbX0w2N2oZSqurWUlW7lsrKtbz14o88vuIFyqvWoOsaqSnpjBo1mgkTxzJ27FjGjBnDxIkTyczMjIutAoFAIGgdIagFfYj45k1bod492HN6C/NN08A0em9f6XggSwpZrhwqfKXYVBd2m6db9uOxuThi5D4sG74n75Z8zmOrXufB5/enKHs8o4cdzMhBe2G3ebtl3wKBJMnkZ48jP3scsyeeQSBYw/qyT1hX9jFr33mcr5+5GtXmJrPfWDIHjiej3xgyikfjyerXqeuTJMs4MtKxpXgJ1dTg21iDzePEkeFBtvVcGLEsq0xZehHv3nUqry67jQF7jcdfWodvXS2N66tpLKtCD0dAkvCkZJGWWkiau5gc7wTShxeSPr2YjNRiUrx5yHLP3MaoDhsphZk0ltWwYf16ioqKejT0WpFVstL6kZXWD/rPbfGarkeorFvLpurfKKtaxefv/sqLz75NacXvGIZOcVF/Jk6ayNSpk5k8eTJTpkyhoKBgh/xNEQh6K+W+Gmz2+KSllTdWx2UcwWYkUzRm3SYbN27k7rvv5sQTT6SwsDChtqSkpDDKVcQDu1ycUDuSl3iGeptomhXq3SPe6eZi2jQxDQMTE1mSo6HOO/aNT32olvpwLaneoh4rILamfiPP/rGS51e/R0ALMXzgnowZtpSi3KniRlTQo/iD1ZRWfENpxdeUVX9HedX3BIO1qDYXqblDSCkYQmruILw5A/Bm9cOTWYTdk9HueaqHQgSra9BDIewpThzpbiR1+0SiFg4QbKgmWF9JoK6CQH0FgdpN1lJdjr+2DH9deVNbPIcthdSUAjKzB5LmLSIttYi0lELSUgtJSSlAbV7XwDQxdBPTNJGQUBSlx4t4GbqBr6wa2ZQoLi7GZkvegoaRSJDymt8oqfiRjRU/Ulb9IyWbfiAQ9JGTk8e0qVOZOWsG06ZNY9q0aaItTpJjGAZlZWXk5+eL4nUJpqe1QVpKKvWNDXEdM9WbQl1DfVzH3JERHmpBHyG+edO6bt2w9ViodxTTMDDNHdsr3RopjjRCehCffxMpnsIeeV8Gphbyl4mHc+q4Q3hv45c8t/odnnj1SDK8RYwadhBjhizB687rdjsEArczkyH9FjCk3wLAip5p9JdTUfMzlbWrqK79g8r17/Jb/VoCgSoAFNWBOzUPZ2oOjtRsHN507J4M7K4UVIcX1eFGtbuQVQfoBlp5EFPTUF0OVI8dFDB1DUOLoGshtHAQPRwgEvKjBX2EAw1E/A2EfXWEfXWEGmsI+mrQwpvb0TmdGXg9uXhdeaS68ylKG0pKYQEpngJSPdajbIK/thx7qgtHZjsRKJKErErRVBgTXdfRdQ1JVlBkuUeuC7Ii4y3IwrephrXr1lFcXIzT4Wh/wwSgqg6Kc8dSnDu26TnDNKio+YMN5d+xvvRbHvjPc1x5xT8IR4IMHDCE2XNmMXv2TGbMmMGECROSesJAINhREMI3+RGCWtAHiK+YNg0T06TnZoDNaNExUwesMOd4FuDqC0hIZEVbafmDlXhc8auG3B42RWVhv+ks7DedykANL655j2dWPcqHX/2LwUXzGD/iMAYW7SQ+M0GPIUkSKZ58Ujz5DC7eucVr4YiPBl8p9b6NNPrL8QUq8QcqCZTV4g9vpCZcTyjSiKYFiEQCaHoIw4hg6BrNQ2UskaoiyzYU1Y5NdaEqTuw2D3abF6ctlTR7Kk5HP1x56bj6Z+ByZuJ2ZuJx5eB2ZXU4msSVmoO/bhOSImFPc3fgDQBJkZAUybpeGwaRiI4kSyhy93utJVnCm5+Jv6KO9evWUVhYiMfTPeko8UaWZPIyh5KXOZQpo5YAVsh4adUvrCv7mlXffM3K12+itOJ3nA4XU6ZMZad5c5g9ezazZs0iOzv+tSwEAoGgtyMEdQfwer2oqoqIjk9G4vyZmCa60YNVvZuFd+9oRcc6iywpZLvy2OTfiKo4cdhTetyGbFcGR43ajz+N3JevK37hyd/f5PmVp+J15zJ+5BGMHXaQqBAuSCh2m4es9KFkpbdd4KpdYtclw0CSJCRZgm4UqYrdhSs1m0B1JZIsY0vpeAVySY7aZ5rNvNY6smxdT7vTa+3OSSOoKpSUlJCbl0t6Wnq37as7URRbkyd7NkcA4A/Wsrb0K9aUfsnTj73HzTfdQjDkZ8jg4ew0bw477TSX2bNnM3z4cBFJ1UOYptl0LyruRxOLqgr5JGiJOCM6wKRJk8jIyEDTtITaIS6gWxLfImQQDfWWeibUW4R3dx674iDdkU1tsBJFtqGqiWn9I0kSk3JHMil3JLWTj+SZ31fy+I/38vHXtzJ22EFMHnMsqZ6ChNgmEGw3koSkKEiKgqkbGIYBuoYky5Z47YZrlerw4EwxCFRWI0kSqreTYdSS5bGW5GhBScNAj+hIkoSsyCjdNFnpzPAiqwqbyjcRCUeSzoPb1fsGlyONkQN3ZuTAnQGrynhp5c+sKf2Cbz7+nOeeuYjq2lIyM7OZPXs2O+1kebEnTZqEPU6FkwRbk5GRgWFEv5OChJGRkZFoEwRJhihK1g4bN25kxYoV/OlPfyInp+fCTFsjNTVVFCVrIv5i2tANDJPtak3TIUwTwxDh3dtDTbASv+Yn1VPYY1V+20MzdN5a/wn//flF/qhbx5jBS5g+/mTSUvol2jSBYPsxzM2dByQJZMl6jLO4DgfqCTXW4M5NRfVsZ26yGZ24NGgq8hjzXMcbLRCmsbwGj8dDQZIUjTJNs1snamvqS1i98XNWb/yM9RVfsKHsZxx2J1OmTmP+/LnMmTOHWbNmkZ6e3m027EgYhkFVVRVZWVlJcX7tyFRUVHDHHXckRcFiQXKQHHeiSU5jYyOapgkPYtIR37xpw6R7W2SJ8O64ke7IImJEaPSXk+IpSIpJCVVW2G3AbHbtP4uPy77lru+fYvkzuzNu2MHMnPDnHs37FgjijiwhEfVaGwYYBoZpNInqeHmu7a5UME38m2px56WiurdDVEsgKTKSEq2NYZjouoauW/bKsowcp2uH6rKTUpSFr6yG9dG2Wn09LDQjtYiM1CImj9wfgEConjUbv2D1xs/534q3+Of1NxLRQowaOZZ58+cwd64lsgcMGCDup7qAJElN96Li/UssiY5YFSQffftqL+ijxLcIWVPetNxNedMmmKaOaVjeAhHevf1IkkS2K5dy30Z8gQo8rtykeU8lSWJWwQRm5o/nw9KvufXbx7nvqaeZNvYkpow5FluCwtQFgnghyTLIstXlzzCsqBtNt4R1HMS13Z0GmPjL67ZfVDfZHMu1jhaBNExLnES7OciytN3iWrGppBRm4SuvYe3atRQlcQXw7sDlSGXUoAWMGmRVo9f0MCWbfmD1xs/58M3PeeTh/1HXUElebgFz5s5m7lwRJi4QCPoGQlALehlxFtOYm/Om4+3lNLFCJGN50rIQ0vFElhRy3PmU+zYSCFbhdmWRTB5/SZKYUziJWQUTeHnN+9z67YP8sOox5k2/iKH9dhHngqBPEKs30eS5jolroiI2Gh7e2e+m3Z0OYInqeIR/NxnMZtHfJK4NNC3WKlFqCg3v0vCKjLcgE39lPevWraMgP5+UlJ4voJgMqIqdAQWTGFAwCTgB0zSpqlvL6o2fs2bVF9z44d2cXX42NpudiRMms9O82cycabXsKi4uFtdIgUDQaxCCWtCLiLeYBl2zxpTiHOq9ueCYyJPuTlTZRrY7jwp/GZKs4nKkJ9qkrZAlmb0HzWNB8XSW//gMD77zFwYWzmXhjEtJ9YrcK0Hfobm43lwp3MTUm+Vdd0JcW6Jawr+pFldOCjZvnKM7WhXXJpqhIekgdTXnWpJw56Qh21U2lpaSFQolXbGyRCBJEtnpA8lOH8i00UsBK0x8XdnXrCn9kpef+YK77ryXRn8tuTn5zJw5g5mzZjBt2jSmTp0qcrEFAkHSIgS1oJcQ/9p5hm5gEt+86ZiQhpiQ7rxnRtA5HIqTLFcuVf5yJCScjrREm9QqbpuTP09Yxt6DduLKz+7lgWf3Yu6Uc5kwYpmYcBH0PaKVwgGkWJsfw8DopLi2u9OQJJlARTWmYWJPdXWTva2La13XrdDwZp7rjnpOnWkeFLtKdXkNwVCIwoICUUxqC1yOVEYMmMeIAfMA632vqPmDdeXfsG7d19zz1eNcUnYpmhZm4IAhTJ8xlWnTpjJ58mQmT54sRLZAIEgKhKAW9AK6oaJ38yJkcRg2Vv0WLI+kJZCEkO4pXKqbTFcO1YEKJElOSI/qjjIwtYi7F17E07+/yc1fXMtva19mtznXCm+1oO8SK6Iky10S1zZXCkgSwaoqTN3Ake7p3strc3GNVdCMWCsuXW96rSOh4TaXg9SibBrLa1izdi1FhYU4dqC86s4iSRK5mUPIzRzC1FEHAFYudmnlz6wv/5a1P37HJ+/fT0n5BWh6hH7FA5g0aSKTp0xi/PjxTJgwgYEDB4qJC4FA0KMIQS1IcuIvpk3DxDDMqJjeznHNzf0gReXuxOK2eTExqQlUAiYOe2qiTWoTWZI5cOiuzMqfyGWf3sWDz+3NwpmXMWrwfok2TSDoXrYlrmWpzeKQNqcXWVYI1G7C1A2cWd7uKSLZmslRsS8ptPReG3pT1eWY57o1ISfbFFKKsvBX1LF23Try8/JITU3e61OyoSp2+uWNp1/e+KbnNC1EWfUqSjb9QMm6H3n425e5btON+AP1uN1eRo0czfgJYxg7diyjR49m9OjRFBcXC6EtEAi6BSGoBUlMN4jpaEXv7RXTzUO7hZBOHjw2yzNdE6jENM2kDf+OUejN4c4FF7Dil5e4/YO/s2bDOyyceRkOuzfRpgkE3c+W4towMDS9Ta+1YnfhysgnULsJQ6vHlZva5EXuOZtbeq+tXHEwTCtfHJ1oN4eWAluSJDy56YTqfJSVlREIBMjNTZ7uBL0NVXVQnDuW4tyxTc+Zpkltw0ZKK3+mtOoXvv34V9589T7KKn4nHAnicroZOnQ4I0cNZ9SokQwbNoyhQ4cydOhQsrKyxGchEAi6jBDUgiSlm8S0blrh2F384WwhpKVYD1PxI5xMeGwpSMhUBzdhmjouZwbJ/BnJkswRI/dhWt5Y/v7hbax4YX/2mv8v8rLGtr+xQNBXiOZct+hzrRtIstyiDZeiOvBkFOCvK8e/sQZXXhqyLb5FJTtvN0g0Dw+3BDaGiabRwoNtT3OjOG00lNcSCAYoLCgULaPihCRJTb2xRw9e1PS8YejUNJSwqfp3NtX8zoaf/+Dbz9+gsuY/VNVuBMDjSWHggEEMGTKIIUMHM2DAAAYMGEC/fv3o378/2dnZQnALBII2EYJakIR0r5iWOhvy1az9FYgc6d6A2+ZBlvKpDJSjGxoeV07S3wyNyBjIw7tfyTWfL+fRlw5h3rS/M3HE4Ulvt0AQb5r6XDf3WjcLB5cUFXdGAcH6Cnwba3DnpqK4kkOUxjzXMYGNYWI2CWwwNRNJlnDlpxOsamTN2jXk5uSK4lrdiCwrZKX1Jyutf1OP7BgRLUhV3Xoqa9dQXb+e6vXrefPnH6htfJXquo00+msBsNsd5OUWUFhYSHG/QoqKCsnPzyc/P5+8vDxyc3PJyckhJycHt9udgKMUCASJRAhqQZIR/9ZYXRbTphkV0maz9leiandvwam6yHMXUhEoo8G3Ea87D1lO7kueS3Vy2cxTmJo7mms+v5aN5Z+x6+yrsNtECLhgByTmtZblFuHgkmJNarrScgk11uArq8OZ6cGe6k6+y7NsSesmgR3LwTbBmZ1CuCFA+aZNVFRW4PF4cDldOJ1OHA6HyPftAWyqk/ysYeRnDWv19VDYR21jKXWNZdQ2lFLvK6fst0389t0qfMEPafBXUt9YQSDoa9rG6XSRmZFFRkYmmZmZZGdnkpWdSXp6OmlpaU2PqamppKSkNC1er5eUlBQ8Hg+qmty/VQKBoCXiGytIIpJETMf6p5pmNBdO9JHurdgUO3nuIqqCm6hvLMHjzsGmJr/3YN/B8xmVOZhzP/gXj7xwIHvvfBvZGa3f8AkEfZ5tCGuHNxPF5iBYXYke1HDmeDsfhdSTxHKwkUABZ4YHm9tOoKKexsZG/AE/uqYDEna7DafDicPpxOlw4HA4UJQEhrfvgDjsHvIyh5KXOXSb60W0II3+KhoD1fgC1fiDtfiCNfgDNVSuqWP9r9WEImsIRRoIhhsIBBsIhBoJBBvQdW2r8Ww2O26XB7fbjcvljj66UFWV9PRU3B43Ho8Ht9uFy2VNwrhcrqal+d/N/x0bx+12Ny02m01EQgkE24kQ1IIkIP4h3tBJMb1FWLeEhCyr4kemD6DICjmufOrDNdT7ynE6UnE5MpJ+kmRoej8e3O0KLv/0bh558UB2mf0PRg3eJ9FmCQSJo3meta43CWvV7sadWUCgrgLfhhpcuakoTluire0YEihOG96iTII1PsL1fpwpDuweO3pEJxwK4a/zo4d1TNNEVVUcTgdOhxO73Y7D4cBut4vfqgRjU51N+dudwTRNND1EKOwjFPETjvgIR/zRfwcIR/xEtGDTYzDsI1ARob40SEQLoum16EaIiB5E04NoeoiIFkLTQtHtgtY44aCVdtAKiqLgdLpxu9y43R68Xi9er5fU1BRSUq3HmEc99pient60ZGRkkJmZSVpampjwEeywCEEtSDDdI6aNaGusdsV0s7BusAqNScji5qSPIUkSaY5MHIqL6mAFkYgftysbm+pKtGnbxGNzcc3sM3jk15e55f1zKN30JfOnnY+iJEe+qECQKLYS1rKCO72AkK8aX2ktjgw3jrRu7lcdT2QJZ5bX8lZXNhAOaHiz3ThToz2rTdAjOlpYRw/pNATq0Wr1pl7eNrsNh8OBw+5oEtmqzdZrDn9HRZIkbKoTm+rES1a762ua1uVwcF2PENYCRLRgVGwHiGgBS3BrlnhvEvNhH6E6PxWVPtaHG4lo5YS0RkKRRgKhegLBenyBeiKRUItjSU1JJyMjk+zsbHJyssnLzyE3N5fc3Fzy8vLIy8sjPz+fgoICMjMzRVqDoM8gBLUggXSTmNZNDHMbrbGi3miiPVA3h3WL/Oi+jlN1ke8ppi5UTYOvDLvNg8uZgSInrzdLkiQOG7EXozMHc96Ht/JE1XfsvfOtpHjyE22aQJBwmoeCm7qBw52BanMRrK1C84Vx5aQg23vPrY7isuMpyiRU46O+rAGH144n042kSCh2BcWuQLOSCqZuWiI7ohMJhwk2BtFrthDadktg2x0OHHY7NptNCJkdEEWx4VJsuBzx64Ee0YIEQvX4g3X4g7X4gzX4grX4AtX4Kmr4YV0Vn4XX4Q9WUe+rpK6hAk0LA6CqNvJy8ykoKKRfvyL69S+mX79+FBcX079/f/r3709BQYHwegt6Bb3nV0bQx+gOMW2FeJsmrYvpWG50dN9W/2hFeKN3MGRJJsOZjceWQm2wivrGDThsqTgdaUldtGxizkhW7H4Vf//wNh5+fj/22OlGBhbNTbRZAkHi2SLHWlYcuNMKCPmr8ZXU4MjwYE9zdbldYk8jxbzVHgfBqgZqNtThyXThSHFsva4iYXOp2Fwtr12GbqCHjc1C2x9Ej3q0AVSbaoWM2x3Y7Hbsdht2myW2BYKOEvOup3pyO7S+aZoEQvU0+Cuo922ivrGcusYyKteU88ePq2gIvEdN/UZq6zdZKQ6KSkFBMQMHDmDEyGFce+21ZGZmdvNRCQSdJ3nvHgV9lO7xShPNlwYpKqY3P29Gw7qtvQpvgzZrrwAAIB5JREFUtMDCrjjI8RQQ1PzUhWqpa6zHbvPitKclbUh1ljOdO3b+O3d99wT3v3k8M8adzKwJp1vnvECwo9NcWOs6DncWui1AqLaGSGMQZ3ZK78mtxsqt9hRmEK4P4KvyEawP48l2oTrav3WTFRnZJW8ltE3DRI/o6BEDPazjD/vQfQ3oEStHW5IlbDab5dG22bHb7ZbgttlE5WnBdiNJEm5nGm5n2jYLvWl6mLrGMmrqN1BdX0JN/Qb+859/cfjhh7Pzzjv3nMECQQcRV0dBD9Ld+dISkqxEPdFREW0iQroFbSIh4VI9OFU3QS1AQ7iOusYSVMWBw56C3eZJuuJlqqzw5wnLmJgzgos/vpON5Z+x57wb8brzEm2aQJAcSBKSqiKZJpLkRlYdRIJ1+DbWYEtx4szwIqnJ9b1uE0nCnubG5nESrGmkrsQKA3dnupC7cAySLKE6VNStnd0YmtEktrWIRjgYRm/Q0TUrRUqSZew2W5PAtkfDx212OzYhtgVxRFXsTb3DY7z5+e0JtEgg2DbiCijoAbrJK90sxDsmegxdayaiZZBEgTFB+1jC2o1LdRPRw/giDfiC1fiDVdhUF3abB5vqTipxPadwEit2v5oLP7qNh57bl13nXMOQfgsTbZZAkDxEhbViyMjuTFS7h5C/lkZfFfY0N440N8i94/dBUmVcOanYU12EqhqpWV+PM9WBO92JpMTnGGRVRlZlbK3UajQizcS2FiYcDKE36Bja5haTlrjeHDoeE96iLZNAIOjrCEEt6Ga6qSWWYaIbZrO/DSGiBXHBpthJV7JIc2QS1AMEIj78gSpMswJVdWJT3dhUF4piI9ERD/meLO5aeBH3/vAU9608lfHDDmHe1POw2ZK/17ZA0GPIVrcHRZZxKXa0sJ9wXR3h+iCODDf2FGevya9WHDbcBRlo/hChGh81DXU4Ux240p1I3Tg5INtkZJtMawHzlmfbwIjo6Fo0jNxvCXAz+jutqupWIju2iFBygUDQ2xFXMUE30T1FxwzDCvHGSpdGQrK8hpIkRLQgrkjSZq+1aZqE9CBBzU8g3IA/WI0iK6iqC1V1YVNcCctjVmWFk8YdxMz88Vz48R08XPoBu869jqLcyQmxRyBIVqSosLYpKah2N5FQI6HqesK1fuzpbuxeZ+/wWEugehyobgcRX5BQrY9gfQhnigNnugNZ6dlImphnG9fWt5SmbqJrlmfb0AxCkSABn9/yeGu6dTiyhE1tKbKbL6LKs0AgSHaEoBbEGbPZv7f/xsQqKEY0J5rNIlqWRU60oMeQJAmn6sKpukgHNEMjqAUI6QECgSp8poGq2CxxrbpQFWePh4dPyBnBY3tcw81fP8xjrxzG5JFHMnvSmdhtnh61QyBIdmLC2q6kYXN4iAQbCVU3EKrxYU91YU91IfWwKO0SEti8TmweJxFfkHCdn8C6EA6vDVea02qxlWgTFQlVaT1nGzPq3db0JoEd0CL4glGPd7QiuSTL2GzqZpEdFd+qzYZNVYWHWyAQJBxxFRLEifgI6bYENMjIsiREtCApUGUVrz0FLymYmET0cJPAbgzXW+solrjuyfBwj83FhdOOZ5d+M7jys3t5YN2r7Dz9/xjSb6GI4BAItsAS1nbsSjo2ZwpaqJFwfSOhWj82rxN7qgulAxW1E04zYa0FwoTr/dRuqEd1qrhSHdg99uT82ZQ2h5LTSt42pomuGVGxbWBoOoFIBF9gC8EtSZtDyqMh5Fs+ir7bAoGgO+kFvxSC5GZ7hHRUPLfmgZZaeqAtLZCMdwSCHR0JCbviwK44gHRM04iGhweahYer2GxubKo76r3u3nN5Rv44ntjzWu754Skefvs0BhTMYt60C8hKb7tNiUCwo9LCY+1MQQsHiAQb8TVUo9ht2FKd2DyO5PdaS6C67ahuO0ZYI1wfoLHSD1UBHF47zhR7UnitO4wkodgUFJvSau72Zg+3FU5uaAZBLYjpjz6nG0053LIiWwJbbenZVm0qqmr9LUS3QCDoKkJQC7pIZ4V0M/Ec9UJvmQctxfKgzWYZ2EJIC3oZkiTjVN04VXc0PDxCQPMT1AI0hssACZvqxh4V2N0VGu5UHZw+4VD2HTSPG756mAee25exQw9k5oTTSPHkd8s+BYJeTVOOtRfV4cbQIkTCPkLVPoJVjaguOzavlbvcnQXA4oFsV3Fmp+DI9KL5QkQaAtTW1aPYFRxeOw6P3fIM92aae7jbwNRNDL256NYJahH8IbNJhJtmVHTLluiOCW2bakNRVWyqihJ7XlFEtI9AINgKIagFnaCDIto0MdksnokK6Rbh25K01Q1JTHCDENKCvoMq20ixp5FiT8MwDctzrUUrh1OBqriaxLUsx/+SPDC1iFvnn8snZd9xy7ePcd9TuzB22EFMG3s8qd6iuO9PIOj1SBKSoqAoCrLNjt2Ziq6F0MN+gpWNmGYDqsve5A2W1eT1+kqyhC3FiS3FiRHRiTQGCTWG8FcHLHHtsWNz21AdyXsM24OkSCiKsk3PfEx0xwS2oZuEtRDBQHDz89HwcgBFVay8cHXrRYmKblVVhfAWCHYghKAWtIO5xd/NfiCaCWdiuc+xTZqJZ0kCWW4j97m5N7rl/wSCPocsybhtHtw2T1Pl8IDmIxCqxReoQlUc2Gxu7Ko77nnXM/LH8VDeWN4t+YL//Pgs9z71KMP678rEUX+iKHeKuPkTCFohFg4uqyqq3YXdMCxxHQkQqvETrGxAtqmoLhuKy47qtG0xWdzK9ypBXzXZpuDI8ODI8GCENSL+ECFfGH9NAFmRsblUbC4bNpdqVe3eQeiI6Makhbg2NBND1wnqGmYg9ndL4S0rCuoW4ru54FaaPQoEgt6NENSCLTBb/DP2V5NoppnHGZoJZytc26rAve27BbPZLiSEN1qwY9KycrhV2Cyg+QlEfASCNdG2XO6mwmbxCA2XJIn5xVOZVzSFLzf9xIpfX+HxV48gO3Ugo4YuZcSgvUn1FMTh6ASCPkbUay0piiWUouLa0DUMLYgeDBFpqMc0TWSbiuJUURw2FIeKbFNa9rnecp66Jw8j+ijbFBxpbhxpbgzdRA+E0QJhfNUBTN1AVmVUp4rqUKzFrkTbUzYfZQdCatYebFvEhLe+WWSbuklYDxEMWfndTc9Hb4YkKSrom4nv5mI79ryiKE3bCASC5GKHE9SNjY3cfvvtfPnll7hcLg4++GD22muvRJuVAMwmYbv5MfaPZp5m2Eo0I7E537kje9ri+i880QJBS5oXNktzZETbcll5175ABaZpoioOVNWJTXGiqA5kqeteDUmSmJI3mil5oynzVfHimnd4/teHePeL6yjKHs+g/rswqGgeORkje7z9l0CQ9Miy9YuoKMiqimmzYzNNTNPE0CMYehg9HCLsD2DoGpIkIdtVZLuCYrcEtmxLHi+wpEioXgeq1+ptZUR09GAEPRghWB/GiOjRAmEysi32GF0UOfpz3rKAaMvndqDios2Fd2utwpphGmaT8DZ1K9S8yesdaf6c0UJIK9F0BEW1HmNiu+Xz0edkWRRbEwh6gB1OUN91113ous7y5cspLS3lkksuobi4mPHjxyfatO0jerFtuuQ2E8UmbQhliIrl6D8spYwUE9By089iB21ofeJdCGiBoHNYbblS8dpTMU3LuxHSAwT1II1hywumKDZU2YGi2JuWrojsfE8Wx405gGNHL+GXmjWs3PAp7/zxFO9/eSMeRzpFeVPJz5lCfvY4cjNH4bCndMMRCwS9lKjnGkAyTSv32nRgM73RApxGVGRHMMIRwoEQhq6BaVoT0zYFWVUska3KyKqCpFiCrKeqim/5yxyrrE2KE7CEnx7WMEIaelgj4tfQIxHrGGQJ2SajqFKTzbIqISsSkiJFVbS51X1H26JbarZKy+f6GpIsocgKSqslzFtiGiambqJHPd6mbmAYJpquEdHCmGETQzeb8sGbC/DYfmRF3iy65c0CXJblrR5lRUaRRQE2gaCj7FCCOhgM8sEHH3DzzTfjdrsZMmQICxcu5I033ugVglrTNExA16wcna3EMTT9MkrN/9hSKEtd/IEyWzy0SkvdLC7EAsH2IkkSDtWJQ3WSihVJEjFChPQQET1MONJAIBjBxMrRVmQbsmJDllRkObpICpKsICG3+d2XJImRmYMYmTmIU8YfQmWghs/Lf+Sryp/55vfHef/L6zFMgzR3HplpQ0hNHUh6Sj9SPUV43Xl43Dm4nVnY1NYaygoEOwBbRG5JAKaJrNqaqm7GhI5p6BiGhmloVth4QEMzQpiGjmkYTQNIUXEjxRZZ2vwoS0iyDE3/ju5f7ngEWYcOS5ZQnTZwtlR+RkTfvGg6WljH0CKYzSpnS3JMXMvWoywhyTSzP2Y3IMfuT9h8+9CKELfe6mbvcysifKt1tti+txF7nzpcmd00o95tMyrGLQFu6iaaoRExwpiRqFCPLoaxuc1Y034lyRLY0fOw6d+yjCy1/FuSrYKzsiz/f3v3H1RVnf9x/HWBy+WHoCIqSIFg6KCYCloqCSQqpuiuP2vHLCu31nE21mGFnW1cs1yrjd1cIQd3dkz3GwtmGTNrazsp1C7pljiWmpqZXLQVUvyx8Tvgnu8fjne9AQI37fLj+Zhh5H4+n3Pu+3jnfbnv+/mcc+zb3fjvd3+nWEdP0qsK6v/85z+SpNDQUHtbRESECgoKHMaVl5ervLxcknTx4kXV1NRIkmw2m1ypoaFBh+o/1/+detelcTjg/RBwPUOyGc1qNpplM5plM77ne9UNHzzv8OqjO+4Yq8bgUSqrviBrVYXOVX6i0vL93zPo6x+Cb/wWsOUbiqmV3wAAvYvNaNKePXsUHx/v6lCAFnpVQV1fXy9vb8fZE19fX9XV1Tm0bdmyRevWrbM/fuihhyRJFRUVtz/Im3B3d5ebTdp4dOftfzI+uwI9x42nftwinjfc4suQ1Gxrlq1Tz3H9NJWbL33hEjwAAEkqKChQamqqq8MAWuhVBbWXl1eL4rmmpqZFkf3UU09p7ty5kq7NUO/du1eSFBQU9MME2oaGhgaXPv/tZBiGmpqauHdjD2Kz2XThwgUNGjSIi6L0EORpz0Oe9kzkas9DrnYdrp5gQ9fTqwrqkJAQSdK5c+d05513SpJKS0sVFhbmMC44OFjBwdduHXP+/HkdOHBAkngDu40Mw/jfeTj88e9R3LjKaI9BnvZc5GnPQq72XOQq0PX0qoz08vJSXFyccnNzVVtbq9LSUu3bt09JSUmuDg0AAAAA0M30qhlq6dpy7uzsbC1btkw+Pj5asmSJxowZ4+qwAAAAAADdTK8rqPv06aNf/epXrg4DAAAAANDN9aol3wAAAAAA3CoU1AAAAAAAOIGCGgAAAAAAJ1BQAwAAAADgBApqAAAAAACcQEENAAAAAIATKKgBAAAAAHACBTUAAAAAAE6goAYAAAAAwAkU1AAAAAAAOMHD1QF0F5WVla4OoUfz8PBQ//79dfHiRTU1Nbk6HNxCFRUVrg4Btwh52nORpz0LudpzkauuR02A76KgboePj4/MZrN27drl6lCAbqWqqkqHDh1SbGys/Pz8XB0OgFaQp0D3QK52LWazWT4+Pq4OA12EyTAMw9VBdHVXr15VbW2tq8MAupWjR49q5syZevfddzV69GhXhwOgFeQp0D2Qq12Lj4+P+vXr5+ow0EUwQ90B/fr1I2mATrq+LG3gwIEaMmSIi6MB0BryFOgeyFWg6+KiZAAAAAAAOIGCGsBtERwcrLVr1yo4ONjVoQBoA3kKdA/kKtB1cQ41AAAAAABOYIYaAAAAAAAnUFADAAAAAOAECmoAAAAAAJzAbbMAdNru3btVWFgoq9WqSZMmafXq1fa+srIyZWVlyWq1KigoSCtWrNCoUaPs/R9++KG2bdumq1evKioqSqmpqRowYIArDgPo0RobG5WTk6NPP/1UVVVVCgwM1KJFi5SYmCiJXAW6iuzsbJWUlKiurk5+fn6aMWOGFi9eLIk8BboDZqgBdFpAQIAWL16sGTNmOLQ3NTVp/fr1mjRpkvLy8rRgwQL99re/VXV1tSTpq6++0qZNm7Ry5Uq9/vrrGjJkiDIzM11xCECP19zcrICAAK1fv155eXlauXKlcnJydPLkSXIV6ELmzp2rLVu2aMeOHXrhhRf0wQcfqLi4mDwFugkKagCdNnnyZE2cOFH+/v4O7UePHlVDQ4PmzZsns9ms+++/X4MHD9b+/fslSUVFRYqJidHYsWNlsVi0ZMkSnTx5UuXl5a44DKBH8/Ly0pIlSxQUFCQ3NzeNHDlSUVFROnHiBLkKdCGhoaGyWCz2xyaTSefPnydPgW6CghrALXP27FmFhYXJze1/by3h4eE6e/aspGtL18LDw+19fn5+GjhwoMrKyn7wWIHepr6+XqdPn1ZYWBi5CnQx27dv16JFi/TEE0+ovr5e999/P3kKdBOcQw3glqmrq5Ovr69Dm6+vr2prayVd+0Dv4+PTor+uru4HixHojQzD0B//+EdFRkZq3LhxOnXqFLkKdCGPPvqoHnnkEZ0+fVofffSRPd/IU6DrY4YawC3j7e1t/0N/XW1trby9vSVdW4L63f6amhp7P4BbzzAMbd68WZcuXVJ6erpMJhO5CnRBJpNJkZGR8vDwUF5eHnkKdBMU1ABumdDQUJWVlclms9nbSktLFRoaKkkKCwuT1Wq191VXV6uyslJhYWE/dKhAr2AYhnJycnTmzBk9++yz8vLykkSuAl2ZzWZTeXk5eQp0ExTUADqtublZ3377rWw2m2w2m7799ls1NTVp9OjRMpvNKigoUGNjoz744ANVVFRo0qRJkqTExEQdOnRIn376qRoaGpSbm6sRI0YoODjYxUcE9ExbtmzR559/rnXr1jksDSVXga6hpqZGRUVFqq2tlc1m0/Hjx7Vnzx6NHTuWPAW6CZNhGIargwDQvfz1r39Vfn6+Q9vUqVP1i1/8QlarVdnZ2bJarRo8eLBWrFih6Oho+7ji4mJt375dV65c0ciRI7lnJnCbXLhwQcuXL5fZbJa7u7u9feHChVq8eDG5CnQBtbW12rBhg7788kvZbDYFBARo2rRpmj9/vkwmE3kKdAMU1AAAAAAAOIEl3wAAAAAAOIGCGgAAAAAAJ1BQAwAAAADgBApqAAAAAACcQEENAAAAAIATKKgBAAAAAHACBTUAAAAAAE6goAYAAAAAwAkU1ADQC+Xm5uqee+5R37595e/vr6ioKC1fvlwXLlywj9m4caP+/ve/37YYTCaTMjMzO7WN1WqVyWSy/3h7e2vUqFHKzMxUY2Nju9snJiYqJSXF2ZCdMmHCBG3atKlDMaSkpCgxMdGhbc+ePUpISFBgYKB8fX1111136eGHH9apU6fsY5YtW2b/P3F3d1f//v01fvx4ZWRk6Ny5cw77s9lsGjFihHJzc2/dQQIA0EtRUANAL/Piiy9q6dKlmjJlinbs2KEdO3bo8ccfV0lJic6fP28fd7sL6u9jw4YNOnDggP72t78pISFBq1ev1po1a9rdbvPmzfr973//A0R4za5du1RWVqaf/vSnTm2fn5+vWbNmKTw8XNu3b1dBQYGefvppWa1WnThxwmFsRESEDhw4oOLiYuXl5enHP/6xcnNzFR0drb1799rHubm5KT09Xb/5zW869CUEAABom8kwDMPVQQAAfjghISFKTk7W1q1bW/TZbDa5uV37rnXo0KFKSUlRdnb2bYnDZDLp5Zdf1i9/+csOb2O1WhUeHq6dO3dq4cKF9vakpCR9/PHHqqqqanW7uro6eXt7f++YOys+Pl4xMTHauHGjvS0xMVF9+vTR7t27W4xPSUlRdXW13n//fUlSXFycLBaLCgsLW4y98bVatmyZSkpKdOzYMYcxly9fVnx8vMrLy1VaWip/f39JUk1NjQYNGqTXX39d8+bNu0VHCwBA78MMNQD0MlevXlVwcHCrfTcW02VlZXr11VftS4m3bdsm6Voht2HDBoWHh8tisSgyMtKhYLzuxIkTmj9/vgICAuTj46MxY8YoLy+vzbjKysoUGRmp5ORk1dbWduqYYmNjVV1drYsXL+r999+XyWTSO++8o4ULF8rf31+LFi2S1Ppy6/biNAxDmZmZGj58uCwWiyIiIvTKK6+0G9OZM2f0r3/9y6Hw76yOvFY3ExAQoN/97ne6fPmy8vPz7e2+vr564IEHtH37dqdjAwAAkoerAwAA/LBiY2OVk5Oj8PBwpaSkKCgoqMWYt99+W7NmzdJ9992ntLQ0SdKwYcMkSatXr9bGjRv161//WlOmTNF7772nVatWqaqqyr7s+osvvtCkSZN05513atOmTQoKCtKxY8d09uzZVmM6deqUpk2bptjYWOXn58tisXTqmEpLS2WxWDRgwAB721NPPaWHH35YK1asaLP47Eicqamp+vOf/6xnnnlG9957r/bv36+MjAx5e3vrZz/7WZsx7du3T2azWRMmTOjUsdwoNjZWb7zxhmJjYzV//nwNHTq00/uYOnWqPDw8dODAAT355JP29ri4OK1du1bNzc1yd3d3OkYAAHozCmoA6GU2b96sefPm2c/rDQ8P15w5c7Rq1Sp7wTZu3DhZLBYNHjxYEydOtG9bWVmprKwspaWl6fnnn5ckzZgxQ998841eeuklrVq1Sn369NGzzz4rT09Pffjhh/ZlxtOmTWs1niNHjmj69OmaPn26tm3bJg+P9v802Ww2NTU1qaamRm+99ZbefvttLV682KFw/tGPfqQXX3zxpvtpL84vv/xS2dnZysnJsRej06ZNU3V1tdatW6cnn3yyzWK9pKTEPqvtrBdeeEHHjx9XWlqa0tLSFBwcrNmzZ+vnP/+57r777g7tw8vLS4GBgaqoqHBoHzt2rKqqqnTixAlFR0c7HSMAAL0ZS74BoJeJjo7WZ599pnfeeUepqanq27evNm3apLvvvluffPLJTbf96KOP1NjYqAcffNCh/Sc/+Ylqamp0+PBhSddmZ68vt76ZgwcPKjExUfPnz9df/vKXDhXTkvTggw/KbDarX79+Wr58uRYsWKCsrCyHMbNmzWp3P+3Fef1iXgsWLFBTU5P9JykpSRUVFS2uoH2j8vJyDRw4sEPH05aQkBB9/PHHKioqUkZGhoYOHaqtW7dqwoQJ2rNnT4f3YxiGTCaTQ1tgYKAktSi0AQBAxzFDDQC9kKenp2bNmmUvOv/xj39o9uzZeu6557Rr1642t7ty5YoktVgmfv3x5cuXJUmXLl3SkCFD2o1j7969qq6u1hNPPNGhc4Kve+mllzR16lT5+Pho6NCh8vHxaTFm0KBB7e6nvTgrKytlGIa9+Pyuc+fOKSwsrNW++vr6VmenPTw81Nzc3Oo2zc3NMpvNDm1ubm5KTEy0307r8OHDSkhI0DPPPKMHHnigzdhvjOPSpUstXjMvLy9J1y7YBgAAnENBDQBQcnKyxowZ0+JWTN8VEBAgSfr6668VEhJib78+y3m9f8CAAQ634GpLenq6Dh48qOTkZBUVFXV4GXNERITGjx9/0zHfnZFtTXtxBgQEyGQyqbi4WJ6eni36R4wYcdNtrVZri/aBAwfq5MmTrW5TXl6uUaNG3TTmcePGafr06R2+pdm+ffvU1NSkyZMnO7Rf/3LkxvPOAQBA57DkGwB6ma+//rpFW11dnc6dO+cwi+np6an6+nqHcffcc4/MZrPeeOMNh/YdO3bI19dXMTExkq6dZ/zmm2+2eRur69zd3ZWXl6fJkydr+vTpbRaat0t7cSYlJUm6NpM9fvz4Fj9+fn5t7nvEiBEqLS1t0Z6QkKAjR4606CstLdXRo0cVHx9vb2vttbLZbDp9+nSrF5P7ritXrigjI0OBgYF66KGHWjyfJA0fPrzd/QAAgNYxQw0Avczo0aM1Z84cJScnKzg4WOfPn1dWVpYqKyuVmppqHxcVFaXCwkK999576t+/v8LDwxUYGKinn35amZmZslgsiouL0759+7RlyxatW7dOvr6+kqS1a9dq9+7duu+++5Senq7g4GAdP35ctbW1Sk9Pd4jHbDbrzTff1Jw5c5SUlKR//vOf9iuK327txTl8+HCtXLlSS5cu1erVq3XvvfeqsbFRp06dUlFRkQoKCtrcd1xcnJ577jl99dVXuuOOO+ztS5cu1SuvvKLExEStWbNGEREROnPmjJ5//nndddddWrp0qX3szJkzNXz4cM2ZM0dhYWGqrKzUa6+9piNHjrS4VVldXZ3+/e9/S5L++9//qqSkRDk5Ofrmm29UUFCgPn36OIw/ePCgoqKi2lzODgAAOsAAAPQqr776qjFz5kwjJCTE8PT0NIYMGWLMnDnTKCwsdBh37NgxY8qUKYafn58hyXjttdcMwzCM5uZmY/369UZYWJhhNpuNYcOGGX/4wx9aPM9nn31mzJ071/D39zd8fHyMsWPHGvn5+fZ+ScbLL79sf1xTU2PEx8cboaGhhtVqbTX20tJSQ5Kxc+fONo+vqKjIkGQcPHiwRV9CQoIxe/bsTsVps9mMrKwsIzo62vD09DT69+9vTJw4sdVjvlFDQ4MRGBho/OlPf2rRV15ebjz++ONGUFCQ4eHhYQQFBRmPPfaYUV5e7jAuLy/PmDdvnhEWFmZYLBZj0KBBRnx8vPHWW285jHv00UcNSYYkw83Nzejbt68RExNjZGRkGGfPnm01vpEjRxpr1qy56TEAAICbMxmGYbiyoAcAoKdKS0vT4cOHVVhY6OpQHBw5ckQxMTH64osvFB4e7upwAADotiioAQC4TSoqKjRs2DAVFxdr3Lhxrg7H7rHHHpPJZNLWrVtdHQoAAN0a51ADAHCbBAUFadu2bbp48aKrQ7Gz2WyKjIzUI4884upQAADo9pihBgAAAADACdw2CwAAAAAAJ1BQAwAAAADgBApqAAAAAACcQEENAAAAAIATKKgBAAAAAHACBTUAAAAAAE6goAYAAAAAwAkU1AAAAAAAOOH/AdFnFtBtsQ9fAAAAAElFTkSuQmCC\n", | |
| "text/plain": [ | |
| "<Figure size 1000x480 with 1 Axes>" | |
| ] | |
| }, | |
| "metadata": {}, | |
| "output_type": "display_data" | |
| }, | |
| { | |
| "data": { | |
| "text/plain": [ | |
| "<ggplot: (135550191897)>" | |
| ] | |
| }, | |
| "execution_count": 15, | |
| "metadata": {}, | |
| "output_type": "execute_result" | |
| } | |
| ], | |
| "source": [ | |
| "# Convert repetition into categorical data\n", | |
| "df['Repetition'] = df['Repetition'].astype(object)\n", | |
| "# Density plot\n", | |
| "plotnine.options.figure_size = (10, 4.8)\n", | |
| "(\n", | |
| " ggplot(data = df)+\n", | |
| " geom_density(aes(x = 'Price',\n", | |
| " fill = 'Repetition'),\n", | |
| " alpha = 0.85)+\n", | |
| " labs(title = 'Monte Carlo Simulation (Stock Price Data)')+\n", | |
| " xlab('Stock Price (USD)')+\n", | |
| " ylab('Density')+\n", | |
| " theme_bw()\n", | |
| ")" | |
| ] | |
| } | |
| ], | |
| "metadata": { | |
| "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": "3.8.3" | |
| } | |
| }, | |
| "nbformat": 4, | |
| "nbformat_minor": 5 | |
| } |
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