{ "cells": [ { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import seaborn as sns\n", "import matplotlib\n", "import matplotlib.pyplot as plt\n", "from scipy import stats\n", "import math\n", "import matplotlib.patches as patches" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# ABM calibration with loss functions and optimisation algorithms" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This tutorial is inspired by the paper 'Automated multi-objective calibration of biological agent-based simulations' (Read et al., 2016), which uses the Kolmogorov-Smirnov (KS) test in conjunction with optimisation algorithms to minimise the difference in results produced by simulations compared to those produced by in vivo experiments. Deconstructing the KS test and explaining each step was inspired by a Youtube video by Statistik und Archäologie – meistens mit R. The video is available at: https://www.youtube.com/watch?v=iy-ZVRUGCIs." ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "<Figure size 36000x36000 with 0 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Make style adjustments for plots\n", "\n", "sns.set(style=\"ticks\", context=\"talk\", font_scale=2)\n", "plt.style.use(\"dark_background\")\n", "plt.figure(figsize=(500,500))\n", "matplotlib.rc('xtick', labelsize=20) \n", "matplotlib.rc('ytick', labelsize=20)\n", "plt.rcParams.update({'font.size': 20})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Variable assignment" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "6\n" ] } ], "source": [ "x = 6\n", "\n", "print(x)" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "5" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## IF statements" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X is not 5\n" ] } ], "source": [ "if x == 5:\n", " print(\"X is 5\")\n", "else:\n", " print(\"X is not 5\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Loops" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0\n", "1\n", "2\n", "3\n", "4\n", "5\n", "6\n", "7\n", "8\n", "9\n", "10\n", "11\n", "12\n", "13\n", "14\n", "15\n", "16\n", "17\n", "18\n", "19\n" ] } ], "source": [ "for x in range(20):\n", " \n", " print(x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Lists" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0, 1, 2, 3, 4, 88, 'Hi']\n" ] } ], "source": [ "example_list = [0,1,2,3,4, 88, 'Hi']\n", "\n", "print(example_list)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Variable assignment" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "\"\"\"\n", "Initialise parameters for the demonstration\n", "Two distributions will be generated and tested for similarity\n", "These distributions are created with different means and standard deviations\n", "\"\"\"\n", "\n", "# Define distribution range\n", "demo_min = 0\n", "demo_max = 20\n", "\n", "# Distribution 1: REAL \n", "first_distribution_mean = 10\n", "first_distribution_std = 3\n", "first_distribution_number_samples = 2000\n", "\n", "# Distribution 2: SIMULATED\n", "second_distribution_mean = 13\n", "second_distribution_std = 4\n", "second_distribution_number_samples = 2000" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## List + Loop + IF" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [], "source": [ "# Generate first distribution\n", "\n", "first_normal_random_list = []\n", "\n", "# Build a list filled with random numbers until it has as many entries as we require\n", "while len(first_normal_random_list) < first_distribution_number_samples:\n", " \n", " # Create a random number\n", " random_number = int(np.random.normal(loc=first_distribution_mean, \n", " scale=first_distribution_std))\n", "\n", " # If the random number is within the range that we want, add it to the list\n", " if demo_min <= random_number <= demo_max:\n", " first_normal_random_list.append(random_number)" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [], "source": [ "# Generate second distribution\n", "\n", "second_normal_random_list = []\n", "\n", "while len(second_normal_random_list) < second_distribution_number_samples:\n", " random_number = int(np.random.normal(loc=second_distribution_mean, \n", " scale=second_distribution_std))\n", "# Uncomment the lines below to generate a gamma instead of normal distributi\n", "# random_number = int(np.random.gamma(second_distribution_mean, \n", "# second_distribution_std))\n", " \n", " if demo_min <= random_number <= demo_max:\n", " second_normal_random_list.append(random_number)" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1440x720 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\"\"\"\n", "Plot the two distributions. Here I am using KDE plots which smooth over the detail\n", "and therefore are not as informative as histograms. However they are good for getting\n", "a sense of the 'sameness' of the distribution. Histrograms to follow.\n", "\"\"\"\n", "\n", "ax = plt.subplots(figsize=(20, 10))\n", "ax = sns.kdeplot(first_normal_random_list, \n", " color='SpringGreen', \n", " shade=False, \n", " label='Real sample',\n", " linewidth=8)\n", "ax = sns.kdeplot(second_normal_random_list, \n", " color='magenta', \n", " shade=False, \n", " label='Simulated sample',\n", " linewidth=8)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Some background information on the KS test:" ] }, { "attachments": { "8c26b27c-87b9-4533-ac4b-dff46c4c9554.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sources:\n", "\n", "Photos: https://www.risknet.de/en/wissen/whos-who/andrei-nikolajewitsch-kolmogorow/, https://www.groundai.com/project/vladimir-ivanovich-smirnov-1887-1974/1 \n", "\n", "History: https://link.springer.com/referenceworkentry/10.1007%2F978-0-387-32833-1_214\n", "\n", "Test description:: http://www.mit.edu/~6.s085/notes/lecture5.pdf" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "KstestResult(statistic=0.329, pvalue=4.7474672051127535e-18)\n" ] } ], "source": [ "# Here's how to compute KS using a built in library\n", "\n", "computed_ks = stats.ks_2samp(first_normal_random_list, second_normal_random_list)\n", "print(computed_ks)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The ks_2samp function returns a statistic for the maximum discrepancy between the two distributions. It also returns a p-value for rejecting the null hypothesis that the two samples are drawn from the same distribution. A threshold of 0.05 is commonly, albeit arbitrarily, used as a cut-off so that if the p-value is less than 0.05 we would say that we can reject the null hypothesis at the 5% confidence level." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we will dive into what is happening behind the scenes with the KS test." ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17.\n", " 18. 19. 20.]\n" ] } ], "source": [ "# First define bins for the data we generated\n", "\n", "bins = np.linspace(demo_min, demo_max, demo_max-demo_min+1)\n", "print(bins)" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Frequencies: [ 2 5 20 22 64 101 128 179 228 245 262 238 194 132 83 48 31 10\n", " 5 3]\n", "Bins: [ 0. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17.\n", " 18. 19. 20.]\n" ] } ], "source": [ "# Next we place the data into these bins\n", "\n", "series_1_binned = np.histogram(first_normal_random_list, bins=bins)\n", "series_2_binned = np.histogram(second_normal_random_list, bins=bins)\n", "print(\"Frequencies: \"+ str(series_1_binned[0]))\n", "print(\"Bins: \" + str(series_1_binned[1]))" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Frequency')" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "<Figure size 3600x1440 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# To get a proper sense of what data we are working with, here we plot the histograms\n", "\n", "fig, (ax1, ax2) = plt.subplots(1,2, figsize=(50, 20))\n", "ax1.bar(series_1_binned[1][:-1], \n", " series_1_binned[0], \n", " width=0.35, \n", " color='SpringGreen')\n", "ax2.bar(series_2_binned[1][:-1], \n", " series_2_binned[0], \n", " width=0.35, \n", " color='Magenta')\n", "\n", "ax1.set_title('Real sample',fontsize=60)\n", "ax1.set_xlabel('Bin',fontsize=60)\n", "ax1.set_ylabel('Frequency',fontsize=60)\n", "ax2.set_title('Simulated sample',fontsize=60)\n", "ax2.set_xlabel('Bin',fontsize=60)\n", "ax2.set_ylabel('Frequency',fontsize=60)\n" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 2 7 27 49 113 214 342 521 749 994 1256 1494 1688 1820\n", " 1903 1951 1982 1992 1997 2000]\n" ] } ], "source": [ "# Now we calculate the cumulative frequencies of the distributions. This just means looking at \n", "# each bin and calculating how many data points fit into this bin or lower\n", "\n", "series_1_cumulative_frequency = series_1_binned[0].cumsum()\n", "series_2_cumulative_frequency = series_2_binned[0].cumsum()\n", "print(series_1_cumulative_frequency)" ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Frequency')" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "<Figure size 3600x1440 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Visualise cumulative frequency data\n", "\n", "fig, (ax1, ax2) = plt.subplots(1,2, figsize=(50, 20))\n", "ax1.bar(series_1_binned[1][:-1], \n", " series_1_cumulative_frequency, \n", " width=0.35, \n", " color='SpringGreen')\n", "ax2.bar(series_1_binned[1][:-1], \n", " series_2_cumulative_frequency, \n", " width=0.35, \n", " color='Magenta')\n", "\n", "ax1.set_title('Real sample',fontsize=60)\n", "ax1.set_xlabel('Bin',fontsize=60)\n", "ax1.set_ylabel('Frequency',fontsize=60)\n", "ax2.set_title('Simulated sample',fontsize=60)\n", "ax2.set_xlabel('Bin',fontsize=60)\n", "ax2.set_ylabel('Frequency',fontsize=60)" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.001 0.0035 0.0135 0.0245 0.0565 0.107 0.171 0.2605 0.3745 0.497\n", " 0.628 0.747 0.844 0.91 0.9515 0.9755 0.991 0.996 0.9985 1. ]\n" ] } ], "source": [ "\"\"\"\n", "Next we calculate the cumulative frequency proportions of the distributions.\n", "this is known as an empirical distribution function - edf and all it is,\n", "is the cumulative distribution function, but instead of having the number of data points falling \n", "in each on the y-axis, we know have the proportion of points falling in each bin.\n", "\"\"\"\n", "\n", "series_1_edf = series_1_binned[0].cumsum()/series_1_binned[0].sum()\n", "series_2_edf = series_2_binned[0].cumsum()/series_2_binned[0].sum()\n", "print(series_1_edf)" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Frequency')" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "<Figure size 3600x1440 with 2 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Visualise EDF\n", "\n", "fig, (ax1, ax2) = plt.subplots(1,2, figsize=(50, 20))\n", "ax1.bar(series_1_binned[1][:-1], \n", " series_1_edf, \n", " width=0.35, \n", " color='SpringGreen')\n", "ax2.bar(series_1_binned[1][:-1], \n", " series_2_edf, \n", " width=0.35, \n", " color='Magenta')\n", "\n", "ax1.set_title('Green sample',fontsize=60)\n", "ax1.set_xlabel('Bin',fontsize=60)\n", "ax1.set_ylabel('Frequency',fontsize=60)\n", "ax2.set_title('Magenta sample',fontsize=60)\n", "ax2.set_xlabel('Bin',fontsize=60)\n", "ax2.set_ylabel('Frequency',fontsize=60)" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Edf first distribution: [0.001 0.0035 0.0135 0.0245 0.0565 0.107 0.171 0.2605 0.3745 0.497\n", " 0.628 0.747 0.844 0.91 0.9515 0.9755 0.991 0.996 0.9985 1. ]\n", "Edf second distribution: [0. 0.01 0.025 0.035 0.04 0.06 0.08 0.1 0.165 0.24 0.31 0.43\n", " 0.515 0.625 0.715 0.76 0.845 0.905 0.935 1. ]\n", "\n", "Difference between arrays[0.001 0.0065 0.0115 0.0105 0.0165 0.047 0.091 0.1605 0.2095 0.257\n", " 0.318 0.317 0.329 0.285 0.2365 0.2155 0.146 0.091 0.0635 0. ]\n" ] } ], "source": [ "# Here we have generated two lists of proportions, one from each sample.\n", "\n", "print(\"Edf first distribution: \" + str(series_1_edf))\n", "print(\"Edf second distribution: \" + str(series_2_edf))\n", "print()\n", "print(\"Difference between arrays\" + str(abs(series_1_edf-series_2_edf)))" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.32899999999999996\n" ] } ], "source": [ "\"\"\"\n", "We take the two lists and then subtract them from one another. This is akin to taking each bar \n", "in the green EDF and comparing it to the bar in the same position in the magenta EDF.\n", "Now the crux of the KS test is to find the biggest difference between two corresponding bars.\n", "The bigger it is, the less the probability that the two are drawn from the same distribution.\n", "\"\"\"\n", "\n", "dmax = max(abs(series_1_edf-series_2_edf))\n", "print(dmax)" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "KstestResult(statistic=0.329, pvalue=4.7474672051127535e-18)\n" ] } ], "source": [ "# Confirm that dmax is equal to the test statistic outputted by the ks_2samp function\n", "\n", "computed_ks = stats.ks_2samp(first_normal_random_list, second_normal_random_list)\n", "print(computed_ks)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "\n", "So we understand how to get to the test statistic, but how does this relate to the p-value? The p value corresponds to a threshold distance, above which it is unlikely that the two samples are drawn from the same distribution. To calculate this threshold distance we first look up the constant corresponding to the confidence level we are testing." ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [], "source": [ "# It's a norm to use 0.05, so we'll use that as an example.\n", "alpha = 1.358" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "Next we plug this into the threshold formula which takes into account how many observations there are in each sample (represented by 'n' and 'm').\n", "\n", "" ] }, { "cell_type": "code", "execution_count": 65, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Threshold distance is: 0.1007119754547591\n", "Distance in our distribution is: 0.32899999999999996\n" ] } ], "source": [ "threshold_distance = alpha * math.sqrt((first_distribution_number_samples+second_distribution_number_samples)/\n", " (first_distribution_number_samples*second_distribution_number_samples))\n", "print(\"Threshold distance is: \" + str(threshold_distance))\n", "print(\"Distance in our distribution is: \" + str(dmax))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "At this point we'll explore how to use the KS test in ABM calibration. The KS test provides a measure of distance (difference) between two samples. In calibration we want to minimise this difference. At times it makes sense for this to be done automatically. Here we use algorithms from nevergrad - a library of optimisation algorithms developed by Facebook's AI research team." ] }, { "attachments": { "93efb210-e46a-49cd-ab13-821c777ba7d7.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [], "source": [ "# After running 'pip install nevergrad'\n", "import nevergrad as ng" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [], "source": [ "# Define a loss function\n", "def function(x):\n", " return (x - .5)**2" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [], "source": [ "# Do a grid search on the loss function\n", "grid_search = np.linspace(0,1,1000)\n", "\n", "loss_list = []\n", "for x_value in grid_search:\n", " loss_list.append(function(x_value))" ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "<Figure size 3600x1440 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the loss function\n", "\n", "fig, (ax1) = plt.subplots(1,1, figsize=(50, 20))\n", "\n", "ax1.set_title('Plugging in values for x between 0 and 1',fontsize=60)\n", "ax1.set_xlabel('x value',fontsize=60)\n", "ax1.set_ylabel('loss',fontsize=60)\n", " \n", "ax1 = plt.plot(grid_search,loss_list, lw=20, color='r')" ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.49998529857749197\n" ] } ], "source": [ "\"\"\"\n", "A simple nevergrad algorithm is OnePlusOne. Here we can pass in the function and the algorithm\n", "will try many options and at the end give us the one that had the best results in minimising the\n", "loss function\n", "\"\"\"\n", "\n", "# Optimization on x as an array of shape (1,)\n", "optimizer = ng.optimizers.OnePlusOne(parametrization=1, \n", " budget=100)\n", "recommendation = optimizer.minimize(function) # best value\n", "print(recommendation.value[0])" ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [ { "data": { "image/png": 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B/u4GAAC8w8/PpgfvOE0XnpUtSZS2sVc2m1XBQQ49/6fzdfTkeNNxAADAj4wOC9fcKdN0T9ZEnyptN7S369FVubp+wXxK2wAAAACMYON2N3j22Wd17bXX6ptvvtHChQs1ZcoUTZ06Ve+++67OOeccj+cGBQXp66+/VkZGhubNm6fKykqdffbZSkhI0I033qi5c+d2uX9eXp4GDx6sZ599do/HWrBggT7//PODys7GbQAAAADeMilqsG5Lz9Sw4GDTUbrY0dKipwtW65ONG0xHAQCg3wsOcujRe89U9vgRpqOgl3C6XJJbmv3kJ/r3x2tMxwEAoN8LsfvpquQU/SIuXjYf+wLel5s36YnVedrZ2mI6CgAAAIA+bH+9XIrbh+nII4/UokWLNG/evC5bsl9++WVdeumlOu200/TBBx/s8/zp06dr9uzZuuGGG/T0009LkkJCQrR48WLFxcUpLi5OVVVVkiS73a7Gxka9//77Ovvss7slP8VtAAAAAN7kb7PpijHJOi8hUXarb10EKnfnDj22KpdtSwAAGDJoYLD+MvuXih81SFYfK/nAt7lcblmtFj3z8gL97a0lpuMAANAvWST9LHakfp2SqgH+vrNhW5K2NTXpsdW5Wrhtq+koAAAAAPqB/fVyfetT8l7ohhtukCTNmjWry/Hp06fL5XLpqquu8nj+9ddfr61bt3bZoN3Q0KAHH3xQwcHBuvDCCzuPjx07Vg6HQ6tWrerGZwAAAAAA3tPqdOqZtfm68usvtLp6p+k4XWREDtKLxxyv36SmK9huNx0HAIB+ZWTsQL3854sUPzKS0jYOmtX63f9mrrvsaN1x0wmdPwMAAO9ICo/Qs0cfq+mZE3yqtO10u/V2aYku/vJTStsAAAAAfAbF7cM0bdo0VVVVKT8/v8vxLVu2qLi4WMccc8w+z42Pj1dMTIy++eYbuVyuLrd9+eWXktTl/PT0dEmiuA0AAACg1yutq9P1C+brodyVqmtrMx2nk91q1bkJo/Xm8SfplNgRovIDAEDPSxs7VC8/caGiBobI6mNX5EDv88vTMvTHu38ufwdfxAMAoKeF+Tl0W3qGXph2nFIHDjQdp4vC2hpd8/WX+kv+ajU7nabjAAAAAEAn3gU/DA6HQ7GxsSotLd3r7RUVFRowYIAGDRq019sTEhIkaa/nb9u2Tc3NzRozZkznsd3F7aSkJC1YsEB1dXXatm2bXnzxRQ0dOvRwnw4AAAAAeJVb0vuVFbrwi0/0QeV603G6iAwI0N2Z2Xpu6rEaG7H3S1gBAIDDd/TkeD378HkKCnTIZuPtanSPY48aracfOkdhob6z8RMAgL7EKumMkXF66ycn6sxR8T51xZSG9nY9tipX13z9pYp21ZqOAwAAAAB74J3wwzDw+28N19bW7vX2Xbt2SZLCw8P3entkZKTH8+vq6rqcu7u4PWPGDJWXl+v5559XcXGxLr/8ci1dulTDhw/f4zFqamo8/tlXNgAAAADwltq2Ns3JXaEbFsxXeV2d6ThdpAwYqBemHac7MyYo0ocu9QsAQF9wxIRRenTmmfKzWylto1tZLBaljR2mpx44WwH+fqbjAADQp6QPjNQL047X78dnKtzhbzpOFx9vrNSFX3yi9yrK5Nr/3QEAAADACN4NPwx+ft+94dva2rrX23cfDwjY+4f7B3L+D89tbm5WcXGxJk6cqEsuuUS33Xabpk6dqrvuuksxMTH685//fMjPBQAAAABMy6veqcvnf65nCtaopaPDdJwufjZipN76yYm6ICFRdh/aIgUAQG+VmjREf5p5hiTJauVtanQ/q9WilKQhenjGz/liAAAA3SA6MFD3Tpiop48+RkkREabjdLG+vl6/WfSN7l+5XNX7+OwdAAAAAHyF3XSA3qy5uVmS5HA49nq7v/933zBubGw85PN/eO5ZZ5211/vNmTNHV155pU4//XQFBwd3OWfAAM+X9K6pqfF4OwAAAAB4U4fbrTfWFevzTRt1c9p4HT1kqOlInYLsfrohNU0/HzlKf16zWou3bzUdCQCAXmlkzAA99eAv5We3UahFj7JYLDpqYpxm/u5kzfzT/+R2m04EAEDv42+z6cKERF00eowC7L5VL2h1OvVycaHeLi1Ru4sd2wAAAAB6B94VPwy7du2S0+lUeHj4Xm/ffXzXrl17vX13aXpf54eFhe3z3B9yu93Ky8uTn5+fYmJiDiQ6AAAAAPi0rc1NumPpYt2xdLG2NTWZjtNFbEioHjniKD0y+SjFBoeYjgMAQK8SFRmipx86V8FBDkrb8JqfnZCq3159rOkYAAD0OscPG643jjtRVyan+Fxpe+HWLbr4y0/1WkkRpW0AAAAAvYpv/XbVy7S3t2v9+vWKi4vb6+1xcXHavn37PrdaFxcXd97vx4YMGaLAwEAVFRVJkgIDA5Wenq7m5matWrVqj/sHBgZKklpaWg7puQAAAACAL1qwdYtWVG3XZUljdV78aNmtvlPwOjJ6iCZGDda8snV6ubhQjR0dpiMBAODTQkP8NXfOLxUVGSyrD/2bjv7h4rOztbO6Ua+9u8x0FAAAfN7osHD9dly6MgdFmY6yh21NTXpiTZ6+2brFdBQAAAAAOCS8O36YFixYoKFDhyoxMbHL8aFDhyopKUlLlizZ57kbNmzQ+vXrdfTRR8tisXS57dhjj5UkLV68WNJ3Re4lS5botdde2+NxAgMDlZWVpe3bt2v9+vWH+YwAAAAAwLc0O516pmCNLp//hfJ27jAdpwu71aoLRo/RWz85SafGjpRl/6cAANAv+Tvsevy+szQqNpLSNoxwu9367dXH6NQTUk1HAQDAZ0U4HLotPUN/O+Z4nyttd7hceqOkSBd/+SmlbQAAAAC9Gu+QH6ZXX31VkjR79uwu5es5c+ZIkp5//nmP57/22muKjY3VjTfe2HksJCREd911l5qamjqL2uXl5VqxYoXS09N14YUXdnmMhx56SIMHD9YzzzzTLc8JAAAAAHxReX2dblz4tebkrFBNa6vpOF0M9A/Q9MwJen7qcUodMNB0HAAAfIrNatHsO0/T+JRhslr5mhPMsFgscrncuud3J2vKpHjTcQAA8Ck2i0XnxCforZ+cpDNHxctm8a3XbLk7d+jy+V/ombX5anY6TccBAAAAgMNikeQ2HaK3e+utt3T++efr22+/1ZdffqmjjjpK06ZN07x583Tuued23m/mzJmSpFmzZnUeCw0N1fLlyzVmzBj94x//UGlpqc4++2wlJCToxhtv1Ny5czvvm5WVpa+++krBwcH617/+pYqKCk2dOlUTJ07U/PnzddJJJ6mtre2gstfU1EiSBgwYcDj/CQAAAADAq0L9/HR1corO8MEPEyXp442Veq4gX9tbmk1HAQDAuBm3nKwzTkkzHQOQJDldLnV0uHTdH/6uVQWbTccBAMC4SVGD9Ztx6RoVGmY6yh5qWls1t2C1PtpQaToKAAAAAByw/fVyKW53A7vdrjvuuEOXXXaZhg8frsrKSr322mt6+OGHuxSp3e7v/lNbflQqGDx4sGbPnq3TTz9dwcHBKiws1COPPKJ33nlnj1lJSUm67777dPzxxys0NFQVFRV6/fXX95h1oChuAwAAAOjNEsPC9bv0DKUNjDQdZQ8tHR16q7REb64rZhsUAKDfuv6yo3XFBUeYjgF04XS61NTSrituflPllTtNxwEAwIiY4GDdmJquo4cMNR1lD063W/+uKNMLhQWqb283HQcAAAAADgrFbXhEcRsAAABAb2eRdErsCF2fMk4D/ANMx9nDjpZmPbc2Xx9tqOQXcABAv3LeGZn6/fU/MR0D2Cun06Xq2iZd9ts3tK2q3nQcAAC8JtTPT5eNSdbZcQmyW62m4+xhVfVOPb4qVyV1u0xHAQAAAIBDQnEbHlHcBgAAANBXhPr56cqkFP0iLl62H13pyBcU1dboz2tWKa+arY4AgL7vhGlJeuiu0+V2u/e4AiHgK5wulzZurtWlv3lDDY2tpuMAANCjbBaLzhoVr8uTxirM4TAdZw87W1r0TMEafbSx0nQUAAAAADgsFLfhEcVtAAAAAH3N6LBw/S5tvNIjB5mOsldfbd6kpwvWaHNTo+koAAD0iPiRkXr1qUvk8LPJaqW0Dd/mcrv1zZJS3Xrvv0xHAQCgx0yJHqobUsdpREio6Sh76HC59I/yUr1YtFaNHR2m4wAAAADAYaO4DY8obgMAAADoq06JGaHrU8dpoH+A6Sh7aHM69W55qV4pLuRDSQBAnxIU6KfX5/5Kw4eEy2azmo4DHLA//3W+Xp23zHQMAAC61eiwcN2YmqbsqMGmo+xVzo4qPb46T2X1daajAAAAAEC3obgNjyhuAwAAAOjLQux+ujJ5rM6KS5DN4nsbP2taW/W3ogL9d32FnG5+PQcA9H6z7zxNJ05LksUH/90F9sXtdsvtln59+ztauXqj6TgAABy2SP8AXZ2cop+NGCmrD74uq2pu1l/yV+vzzfy7CwAAAKDvobgNjyhuAwAAAOgPRoeF65a08RofOch0lL0qq9ulv+Sv1tKq7aajAABwyM47I1O/v/4npmMAh8TpdKmuvkXnX/eKdlY3mo4DAMAh8bfZdH5Coi4aPUZBdrvpOHvocLn0Ttk6vVxUqGYnVyADAAAA0DdR3IZHFLcBAAAA9Ccnx8TqupQ0DQoIMB1lrxZv26q/5K/W+oZ601EAADgoaWOH6q+PXiCr1cK2bfRaLpdLefmb9evb35HTxUcnAIDewyLpxJhYXTs2VdGBQabj7NWyqm16fHWeKhsaTEcBAAAAgB5FcRseUdwGAAAA0N8E2uy6bEySzk1IlJ/VajrOHjpcLr1fWaEXi9aqurXVdBwAAPYrPCxQbz97qQZGBMlm871/W4GD9crfl+qpv31tOgYAAAckfWCkbkpN11gf/bx3W1OT/py/SvO3bDYdBQAAAAC8guI2PKK4DQAAAKC/igkO1k2p6ZoyZKjpKHvV1NGhN9cV6+3SErU4nabjAACwT3+aeYamHTFaViubttF3XH/H37U0p9J0DAAA9ik2OETXjE3VccOGm46yV61Op95YV6w31xXzvgYAAACAfoXiNjyiuA0AAACgv5scFa3fjEvXyNBQ01H2akdLi/5WWKAPN6yX082v8AAA33L2aeM1/aYTTccAupXT6dKu+made83Lqt3VbDoOAABdRDj8dXlSss4YGSe7D15JTJK+2LRRTxes0dbmJtNRAAAAAMDrKG7DI4rbAAAAACDZLRb9Mj5Bl40ZqxA/P9Nx9qq8rk5PF6zR4u1bTUcBAECSFD8yUq//5RLZ7Ta2baPPcbncWrisTLfc80/TUQAAkCQF2Gw6L360LkocoyC7b753sW5XrZ5cs0o5O3eYjgIAAAAAxlDchkcUtwEAAADg/w3w99e1yan62YiRslp8s4C2omq7ni5Yo6JdtaajAAD6MYefTa/95RKNih0om803Nz0C3eGPf/lM8/6bazoGAKAfs0r66YiRuiopRVGBgabj7FVta6teKCzQ+5UVXC0MAAAAQL9HcRseUdwGAAAAgD0lhUfo5rTxShsYaTrKPn2ysVLPry3gssMAACNuu+54nX9mlukYQI9yud1ydrh08Y2vqbSCzaEAAO87cvAQXZeSqviwcNNR9qrD5dI/K8r0YtFa1be3m44DAAAAAD6B4jY8orgNAAAAAPt2Ukysrk8Zp0EBvrnRqs3p1LvlpXqtpIgPSAEAXnNUdpz+/ODZpmMAXuF0urR+U40uuv5Vtbc7TccBAPQTSeERuiE1TVmDokxH2ael27fpz2tWqaKh3nQUAAAAAPApFLfhEcVtAAAAAPAs0GbTJYnJOj9htBw2m+k4e1XX1qaXiwv1z4oytbtcpuMAAPqwAH8/vfu3yxU1MEQ2m9V0HMBrnnl5gf721hLTMQAAfdzQoCBdk5yqE2NiTUfZp42NDXpqzWot3LbFdBQAAAAA8EkUt+ERxW0AAAAAODDDgoJ1Y2qapg0dZjrKPm1ubNRfiwr06cYN/LIPAOgR119+tK44/wjTMQCvcrvdam936pyrX9KmrbtMxwEA9EFhfg79akySzo5LkJ/VN78c19TRrleKi/T3snV8aRwAAAAAPKC4DY8obgMAAADAwcmMHKTfjEtXYniE6Sj7tG5XrZ5bW6DF27eajgIA6ENGxQ7U289eKrvdN69AAfQkl8ulRcsrdPOM90xHAQD0If42m34Zl6CLE8co1M9hOs4+fVi5Xs+tzdfO1hbTUQAAAADA51HchkcUtwEAAADg4Fkl/XTESF2TnKrIgADTcfYpd+cOPVuwRmtqqk1HAQD0Ac8+fK4y02Jk89EtkIA33DbrX/pq0TrTMQAAvZzNYtGpI0bq8jFjFRUYaDrOPuXt3KGn8lersLbGdBQAAAAA6DUobsMjitsAAAAAcOgCbXZdkjhG5yUkyt/mu9tHv9myWc8X5qu8vt50FABAL3Xyccl68I7TTMcAjHI6XdpZ06izr3xRzS3tpuMAAHohi6Tjhg3X1cmpig0JMR1nnzY3NurpgtX6astm01EAAAAAoNehuA2PKG4DAAAAwOGLDgzUr8eO04kxsaaj7JPT7dZHGyr1YlGBtjU3m44DAOhFgoMc+tdLVyk8LEBWtm0DeuXvS/XU3742HQMA0MtMihqsa8eOU1JEhOko+9TQ3q5Xigv1bnmp2l0u03EAAAAAoFeiuA2PKG4DAAAAQPdJHTBAN6Wma9zASNNR9qnN6dR7FWV6raRIu9raTMcBAPQCt113vM47I1MWi8V0FMAnOJ0uXXDdKypbv9N0FABAL5A6YICuHTtOWYOiTEfZpw6XS/9ZX64Xi9aqlvcKAAAAAOCwUNyGRxS3AQAAAKD7nTA8RteNHafooCDTUfapob1db60r1t/L1qnZ6TQdBwDgo5JGD9ZrT10iq5XSNrCb0+lSXsFmXXPb26ajAAB82KiQUF0zNlXThg4zHcWjRdu26un81apoqDcdBQAAAAD6BIrb8IjiNgAAAAD0DIfVqvMTEnVxYpKC7HbTcfZpZ0uLXiku1H/Wl6vDzVsEAID/Z7FILz95sZJHD5bNZjUdB/A59zz8oT78vMB0DACAj4kODNQVSSk6JXaEbD58xZKyul16Kn+1llVtNx0FAAAAAPoUitvwiOI2AAAAAPSsSP8AXZ2cop+NGCmrD39gu7mxUS8WrdUnGyvlMh0GAOATfvHTdN1180mmYwA+yeVyqa6+Rb+44m+qb2g1HQcA4AMiHA5dkpikX4yKl8NmMx1nn6pbW/TXwgJ9ULleTr7ADQAAAADdjuI2PKK4DQAAAADeMTosXDekjtPEqGjTUTwqr6/T3woLNH/LZt4wAIB+bEB4kN576UoFB/rJamXbNrA3brdb8/6bq4fnfm46CgDAoGC7XeclJOr8hNEKsvuZjrNPrU6n/l62Tq+VFKmpo8N0HAAAAADosyhuwyOK2wAAAADgXZOjonVd6jiNDgs3HcWjotpa/bWwQIu3bzUdBQBgwD23nqLTTkz16atFAL7A5Xbrst+8oYJiXjMBQH8TYLPpl3EJumB0osId/qbjePTZpg16tiBfW5ubTEcBAAAAgD6P4jY8orgNAAAAAN5nlXRK7EhdnZyiqMBA03E8Wl29Uy8UFmjljirTUQAAXjI+ZZj+9viFpmMAvYLT6VJJWZUuuek1ufm0BQD6BYfVqjNGxemSxCQN9A8wHcejnB1VmluwRoW1NaajAAAAAEC/QXEbHlHcBgAAAABz/G02nRc/WhcnjvHpyylL0vKq7XqhsED5NdWmowAAetjzj5yn8anDZbNZTUcBeo3b7/+3vlhQYjoGAKAH2S0WnTpilC4dk6zBPv4l7PK6Oj2zdo0WbeOKEAAAAADgbRS34RHFbQAAAAAwL8LhryuSkvXzkXGyW327JLdw6xb9tbBAJXW7TEcBAPSArLQYPf+n803HAHoVp9Ol8sqduuC6V9i6DQB9kM1i0Ukxsbp8zFgNCw42HcejHS3N+mvhWv1vw3o5+UcJAAAAAIyguA2PKG4DAAAAgO+IDQ7Rr1NSdczQ4aaj7NeXmzfqr4Vrtb6h3nQUAEA3evbhc5U5LoZt28AhuG3Wv/TVonWmYwAAuolF0vHDYnRl8liNCAk1Hcejpo52vVFSrHfK1qnF6TQdBwAAAAD6NYrb8IjiNgAAAAD4nvSBkbohJU2pAweajuKR0+3Wpxsr9WLRWm1uajIdBwBwmDLGDddfH73AdAygV3I6XSpdv0MXXveq6SgAgG4wdchQXZWcooSwcNNRPOpwufTv9eV6qahQtW2tpuMAAAAAAERxG/tBcRsAAAAAfNdxQ4fr2pRUxQSHmI7iUYfLpf9tqNSrJYXaQoEbAHqtpx86RxPSY9m2DRyGW+/9p+YvLjUdAwBwiI4YHK2rklOUHOH7n51+tXmTnlubrw2NDaajAAAAAAB+gOI2PKK4DQAAAAC+zW6x6Bej4nXpmGRF+PubjuNRh8ulDzes16vFRdraTIEbAHqT8SnD9LfHLzQdA+jVnE6X1lXs0EXXs3UbAHqb7EFRuiI5RekDI01H2a9V1Tv1dP5qrampNh0FAAAAALAXFLfhEcVtAAAAAOgdgux2XZCQqPMSEhVkt5uO41GHy6UPK9fr1RIK3ADQW8yd80tljx/Btm2gG9xyz3v65tsy0zEAAAcgO2qwrkga2ysK25UN9Xq2IF9fb91sOgoAAAAAwAOK2/CI4jYAAAAA9C4D/P11aWKyzhgVJz+rb5frOlwufVC5Xq+WFGpbc7PpOACAfUgbO1QvPXGR6RhAn+B0ulRSVqWLb3zNdBQAgAe9qbC9o6VZLxUV6v3KCjndfLQPAAAAAL6O4jY8orgNAAAAAL3TsKAgXZWcopNiRpiOsl/tLpc+qKzQayVFFLgBwAc99eDZmpQ5km3bQDf67Yz3tHApW7cBwNf0psJ2fVubXl9XrHfLS9XqdJqOAwAAAAA4QBS34RHFbQAAAADo3UaHhevasak6MnqI6Sj7RYEbAHxPatIQvfLni03HAPoUp9OlotLt+tVNr5uOAgD43sTvC9tpvaCw3dLRoXnlpXpzXbHq29tNxwEAAAAAHCSK2/CI4jYAAAAA9A0ZkYN03dhxSh040HSU/Wp3ufR+ZYVeKy7S9hYK3ABg0pMPnKUjskaxbRvoAb+56x9atLzcdAwA6Nd6U2G7w+XSfysr9HJRoXa2tpiOAwAAAAA4RBS34RHFbQAAAADoW6YNGaZrxqZoVGiY6Sj71e5y6f31FXp9HRu4AcAEtm0DPcfpdKmwZJsu/e0bpqMAQL806fvC9rheUNiWpM82btBfiwq0sbHRdBQAAAAAwGGiuA2PKG4DAAAAQN9js1h0SswIXZE8VtGBQabj7FeHy6X/bajU6+uKtIkPqQHAa564/ywdOYFt20BPuvHOd7VkRYXpGADQb/S2wvaSbVv13Np8ldTtMh0FAAAAANBNKG7DI4rbAAAAANB3OaxWnRUXr0sSkxTu8DcdZ7+cbrc+3bhBr5UUaX1Dvek4ANCnJY+O1utzLzEdA+jTnE6X1hRu0ZW/e8t0FADo0yySpgwZqksTkzW2l3zmuaZ6p55bm6+cnTtMRwEAAAAAdLP99XLt3gwDAAAAAAC8p83l0tul6/Tf9RU6LyFR58WPVrCfn+lY+2SzWHRK7AidFBOr+Vs26ZXiIq1j6xgA9IhzTs+Qy+WS1cq2baCn2GxWjU8drsT4KJWUVZmOAwB9jlXSccNi9KsxSUoICzcd54CU19XpucJ8Ldi6xXQUAAAAAIAhbNzu59i4DQAAAAD9R5ifQxeNTtTZcQkKsPeO73Iv2LpFrxQXam1tjekoANBnBAc59PHb1yvAv3f8WwD0Zi6XW+++n6uH535uOgoA9Bk2i0Unx4zQJYljFBsSajrOAdnc2KgXi9fqkw2VcpkOAwAAAADoUfvr5VLc7ucobgMAAABA/xPpH6CLE8fojJFxcthspuMckKXbt+nl4kKtqt5pOgoA9Hpnnzpe039zoukYQL/R1NymE897Wq2tHaajAECv5rBadeqIUbpo9BgNCQoyHeeAbGtu0ivFhfqgcr2cbj6WBwAAAID+gOI2PKK4DQAAAAD9V3RgoC4dk6yfxY6U3Wo1HeeA5Oyo0islRVpetd10FADotd58+ldKGDVINlvv+P9+oC+490//0/uf5puOAQC9UqDNpjNGxen8hDEaFBBgOs4B2dnSoldLCvXf9RVqc7FjGwAAAAD6E4rb8IjiNgAAAAAgJjhYVySN1QnDY2W1WEzHOSD51dV6paRQi7ZtNR0FAHqV5NHRen3uJaZjAP2K0+lSftFWXXHLm6ajAECvEmL309lx8TonfrQi/P1Nxzkgta2temNdsd6rKFOr02k6DgAAAADAAIrb8IjiNgAAAABgt7jQMF2ZNFbHDhtuOsoBW1e3S2+UFOmLzZu47DQAHIA7f3OizvxpuqzW3vFFHaAvOe+al1W6fofpGADg8yIcDp0bP1pnxSUoxM/PdJwD0tDerrdKSzSvbJ2aOjpMxwEAAAAAGERxGx5R3AYAAAAA/FhSeISuTk7REdFDTEc5YJsbG/VmabE+rFzPZagBYB+CAv308dvXKzCgdxSggL7E5XLrnX+v1KPPfmk6CgD4rOjAQJ0Xn6jTR45SoN1uOs4Baero0LyydXq7tET17e2m4wAAAAAAfADFbXhEcRsAAAAAsC/pAyN1dXKKMgdFmY5ywKpbW/T30nX6V0W5Gjr40BwAfujMn6bp7ptPNh0D6LcaGlt18vnPqLWNTawA8ENxoaG6cPQYnTg8Vnar1XScA9LqdOq98lK9sa5YtW1tpuMAAAAAAHwIxW14RHEbAAAAALA/mZGDdGVyijIiB5mOcsAa29v1r4oy/b2sVDtbW0zHAQCf8OpTFytp9GDZekkhCuiLZvzxA/3vi7WmYwCAT0gbOFAXjU7S0UOGmo5ywNpdLv1nfbleLS7id00AAAAAwF5R3IZHFLcBAAAAAAcqa1CUrkwaq/G9qMDd6nTqfxvW663SEm1qbDQdBwCMSUoYrDee/pXpGEC/5nS6tGrtZl1969umowCAUUcOHqKLE8f0qt8t210ufVBZoddKirStudl0HAAAAACAD9tfL9fuzTAAAAAAAKD3WrmjSit3VPWqAre/zaYzR8Xr9JFx+nLzRr1RUqySul2mYwGA153503S5XG5ZrRbTUYB+y2azKnNcjEbFDlTFhmrTcQDAq2wWi04YHqMLR49RQli46TgHjMI2AAAAAKC7sXG7n2PjNgAAAADgUE34vsCd3gsK3D/07fZter2kSDk7d5iOAgBeEeDvp0/euU5BgQ7TUYB+z+Vy681/rtATz39lOgoAeEWAzabTRozS+QmJGhIUZDrOAWt3ufR+ZYVep7ANAAAAADhI++vlUtzu5yhuAwAAAAAOV/agKF2RnKL0gZGmoxyUgppqvbWuRF9v3Synm7dHAPRdp580TjNvPcV0DADfq6tv0SkXPKO2dqfpKADQY8L8HDo7Ll5nxyUowt/fdJwDRmEbAAAAAHC4KG7DI4rbAAAAAIDukh01WFcmjVVaLytwb25s1DtlJfqwcr2anRSoAPQ9Lz95kcYmRstms5qOAuB7d815Xx9/VWg6BgB0u2FBQTonfrROGzFKgXa76TgHrN3l0vvrK/T6OgrbAAAAAIDDQ3EbHlHcBgAAAAB0t4nfF7jH9bICd11bm/5VUaZ3y0tV3dpqOg4AdItRsQP17l+vMB0DwA84nS4tz9ugG6bPMx0FALpN6oABOj8hUdOGDpfNYjEd54BR2AYAAAAAdLf99XJ7z9ecAQAAAABAr7CsaruWVW3XxKjBujxprNJ7SYE7zOHQr8Yk6/yERH28cYPeKS1RRUO96VgAcFiOPWq06QgAfsRmsyp7fKxCgv3V0MiXxQD0XlZJRw8ZpvMTRis9cpDpOAelzenU+5UVer2kWNtbKGwDAAAAALyH4jYAAAAAAOgRuwvcmZGDdNmYZE2IGmw60gFx2Gw6feQonT5ylBZu3aK3S0uUs3OH6VgAcEiOOypRLpdLVqvVdBQAP2CzWTVlUpw+/rLQdBQAOGj+Npt+Fvt/7P13mJx3fS/8v2dm1Ve7WvVe3XHDFEMoNiUEQifgAyGhPCeEkwMJBBKeQ8qPk+QJJeQkgYQTIAVCTWww2GCKbWxsjOXem6zeu1YrrbTaMnP//lDBxrJsldW95fW6rs81s/c9M/se8Orevec935mXSxaekjnNzWXHOSo99XquWrM6X126RGEbAACAUihuAwAAAP3q7u3bcvfim3LOxIl5x6ln5PnTppcd6Wl7wfQZecH0GXlkZ3u+uWxpfrpxfepFUXYsgKdl0sRxecYZM8qOARxGvd7IRc8/RXEbGFQmjhqV31iwKG+YvyCtI0eVHeeo7Ovry3dXr8x/Ll+abfv2lR0HAACAYUxxGwAAADgp7t+xI3986805vXVC3nnaGXnxjJllR3razpjQlr949nOzce+eXLpiWb6/enW66n1lxwI4ohdfuKjsCMCTqNWqeeFzF2bEiFp6e+tlxwE4ogXjx+e/LTw1r5g9JyNrtbLjHJU9vb359srluXTFsuzs6Sk7DgAAAKSSxDJRw1h7e3uSpK2treQkAAAADDcLx7fkHaednpfOnJ1qpVJ2nKPS2dub769ZlW+vXJ6Ne/eWHQfgsP7hr96U5z9rfmq1atlRgCfx/j/5Vm65c1XZMQAO61mTp+Sti04dVJ+adFBHT3cuXbE8l69cnt29vWXHAQAAYBh5ql6u4vYwp7gNAABA2eaMa85vn3p6XjF7Tpqqg6tcWC+K/Gzjhly6Ylnu27G97DgAh4wZPSLXfev9GTFicK2KCcNJo9HIt6+6L5/6p2vLjgJwyMhqNb86a07esnBRTmmdUHaco7Z937785/Kl+e6qFemq+0QDAAAATj7FbY5IcRsAAICBYubYsXn7Kafn1+fOy4hBVuBOkiU723PZiuX5yYZ16W00yo4DDHMvecGp+fT/7/VlxwCewrYdnXnl2z5fdgyATBo1Om9asDCvm7cgbaNGlR3nqG3euzdfX/Zovr9mVXr8PQYAAECJFLc5IsVtAAAABpqpo8fkbaecmtfNW5BRtcG3Uuz2ffvynVUr8t1VK7Ozp7vsOMAw9b//6FV51UvPTK02+N4IA8PNb7//q3l46eayYwDD1JkT2vKWhYvy0pmzB90nICXJ2s7OfG3pkvx43Zr0FV72BgAAoHyK2xyR4jYAAAADVduoUXnLglPypgUL0zxiRNlxjlp3vZ5r16/NZSuWZ9mujrLjAMNIrVrJtZe9L+ObR5cdBXgKRVHk375xSz7/lZ+XHQUYRmqVSi6aMTOXLDwlZ0+cVHacY7JiV0e+unRJrtuwPnWFbQAAAAYQxW2OSHEbAACAgW5cU1NeP39BLll4aiaPHpwlxDu3bsmlK5Zn8eaN8aHdQH+74JzZ+eLfvrXsGMDT0GgUWblme/7be79cdhRgGGgZMTKvmzc/b1qwKFPHjCk7zjF5cMeOfH3Zo/nZpg1e5AYAAGBAeqpebtPJDAMAAABwtPb09eUby5bmWyuW55Vz5uY3Tzkts8c1lx3rqDxrytQ8a8rUrNvTmW+vXJ4frlmTzr7esmMBQ9RFzz8ljUaRarVSdhTgKVSrlSyaPzkzp7Vmw2af0AH0jwXjW/KWBYvya3PmZlStVnacY7J486Z8fdmjuWf7trKjAAAAwHGx4vYwZ8VtAAAABpuDH+v9W6eentNaJ5Qd55h09fXlx+vW5PKVK7Ji966y4wBDzJX/8Z7MmNaSSkVxGwaLv/3n6/Kf372r7BjAEFJN8vxpM/KWhYvy7ClTy45zTOpFkZ+sX5tvLFuaZbu8uQUAAIDB4al6uYrbw5ziNgAAAIPZc6dMzW+denoumDyl7CjH7O5tW/Ptlcvzs00bUy+cpgGOz8J5k3LpF99ddgzgKNTrjdx9/7r8j//30rKjAEPAhJEj85q58/P6+QsyY+y4suMck+56Pd9fsyr/uXxpNu7dW3YcAAAAOCpP1cttOplhAAAAAE6k27ZuyW1bt+QZbW15+ymn58UzZpYd6ag9c/KUPHPylGzt6sp3V6/M91avzI7u7rJjAYPURc8/pewIwFGq1ap55jmz0zJ+dHbt3ld2HGCQOmtCW960YGFeMnN2RtVqZcc5Jrt7evLtlSvyrZXLs7PH30QAAAAMTVbcHuasuA0AAMBQMr95fH7zlNPyitlz0lStlh3nmPQ2Grl+w7pcvnJFHmjfUXYcYJD5j8+8PWeeNi3VQfpvIAxnf/6pq/LD6x4uOwYwiIysVvPyWXPypgULc8aEwfta35aurvzX8qW5cvWqdNX7yo4DAAAAx+WpermK28Oc4jYAAABD0bQxY/KWhafkdfPmZ2zTiLLjHLMlO3fm8pXLc836telpNMqOAwxwY8eMyE8v/4NUq5WyowBHqV5v5HtXP5D/7x+uLjsKMAjMHDs2b5i/MK+eOy+tI0eVHeeYrdq9K99YtjRXr1uTvsJL1gAAAAwNitsckeI2AAAAQ1lz04i8dt78vGXhKZk6ZkzZcY7Zrp6efH/Nqnx31Yps2Lu37DjAAPWc8+fmnz91SdkxgGNQFEVWr2vPm3/n38uOAgxQlSQXTp2WNy1YlOdNnZZqZfC+Ueu+7dvyzeVLc9OmjV6oBgAAYMh5ql5u08kMAwAAAHAydfb15pvLl+ayFcvyslmz87ZFp+aU1gllxzpqLSNH5jdPOS1vXXRqbt+6Jd9dtSI3b96UulXpgMc496yZKYoilUFc5ILhqlKpZP6ciWkZPzq7du8rOw4wgIwfMSKvnjsvb5y/MLPGNZcd55jViyI3bFif/1y+NA/tbC87DgAAAJRGcRsAAAAY8vqKIj9etzY/Xrc2z54yNW9bdGounDqt7FhHrVqp5MKp03Lh1GnZ2tWV761Zle+vXpUt+7rKjgYMAOeeNSuNRpFaTXEbBqtzzpiRn9++suwYwABw7sRJed28+XnJzNkZVauVHeeY7e3ry1VrVuXSFcuy0acHAQAAgOI2AAAAMLzcsXVL7ti6Jae0tOa/LTolvzprTpqq1bJjHbUpY8bk/zn9zLzztDNy86aNuWL1yty2ZXMaZQcDSlGpJOc/Y1ZqtcH37xmwX1EUOfesmYrbMIyNHzEivzZ7bl43b34WtrSWHee4bO3qyrdXLs8Vq1dmd29v2XEAAABgwFDcBgAAAIalZbs68td335kvPvxQ3rxgYV4/f2GaR4woO9ZRq1UqedGMmXnRjJnZuHdPrly9KletWZUd3d1lRwNOogVzJ2Xc2JFlxwCOw8HiNjD8PKNtYl4/b0FeOnNWRjcN7pdvl3XszH8uX5Zr169NX1GUHQcAAAAGnEoSfzEPY+3t7UmStra2kpMAAABAucY2NeW1c+fnkoWnZNrYsWXHOS59jUZ+tmlDvrtqZe7attXJHxgG3vCqc/JnH/y1smMAx2lfd28uesNnU284esNQN66p6dDq2qe0Tig7znG7dcvmfHP50tyxdUvZUQAAAKBUT9XLHdxv2QYAAAA4Qfb29eW/VizLt1Yuz0tmzspbFpySZ0ycWHasY9JUreYlM2fnJTNnZ23n7ly5elV+sHZ1Onp6yo4G9JNzz5qVer2RWq1adhTgOIweNSKnLJiSJcsVH2GoOnNCW14/b0FeNmt2xgzy1bV7G41cvW5t/mv50qzYvavsOAAAADAoDO6zAQAAAAAnWL0ocu36dbl2/bo8o60tb1l4Si6eMStN1cFZhpzTPD7ve8Y5ec8ZZ+XGTRvy/TWrc+fWLVbhhiHmmWfPUtqGIeLcs2YqbsMQM6bWlFfMnpPXz1+Q04bA6trt3d25cvXKXL5yRbZ37ys7DgAAAAwqitsAAAAAT+LB9vY8eOftmTr6gbxxwcK8ft6CtIwcWXasYzKyVsvLZ83Jy2fNyYY9e/KDtavzgzWrs2VfV9nRgOPU2jImc2Ye/iMXgcGlXm/k3LNm5rLv3VN2FOAEOHfipLx67ry8ZObsjB3kq2snybKOnblsxfJcs35tehqNsuMAAADAoFRJLLA0nLW3tydJ2tq8sAMAAABPZXStll+bPTdvWbgo88e3lB3nuDWKIrdt2Zzvr1mVmzZtTF/hNBEMRi+6cGH+/i/fVHYM4ATZtGVXXvPbXyw7BnCMJo4alVfOmZtXz5mfeePHlx3nuDWKIjdt2pjLVizL3du3lR0HAAAABryn6uUO/rd2AwAAAJwk++r1XLF6Za5cvTLPmTI1lyw8Jc+bNr3sWMesWqnkedOm53nTpqe9e19+tHZNvr9mdVZ37i47GnAUzjlrZoqiSKVSKTsKcAJMn9qSyRPHZduOPWVHAZ6mWqWS502dllfPnZ9fmTY9TdVq2ZGOW2dvb76/ZlUuX7k8G/buLTsOAAAADBmK2wAAAABHqUhy29YtuW3rlsxtbs5bFpySV86ZmzGD+OPP20aNzttOOS1vO+W03Ldje65avSrXbViXrnq97GjAUzjvrFmK2zDEnHvWzFx309KyYwBPYc645rx67ry8cs68TB49uuw4J8Tazs58a+Wy/GDNmnTV+8qOAwAAAENOJftfa2SYeqol2QEAAICnZ/yIEXntvPn5jfmLMm3s2LLjnBB7+3pz7fp1uWrNqjx44BwCMLDUatXc+N0/yKiRg/eNI8DjNRpFvvGdO/MPX/xp2VGAwxhdq+XimbPymrnzc/6kyWXHOWFu37o5l61YnsWbN3nxGAAAAI7DU/Vync0HAAAAOAF29/bmG8uW5r+WL8sLps/Ib8xfmGdNmVp2rOMytmlEXjdvQV43b0FW7d6VH61dkx+tW5Nt+/aVHQ044LSFU5S2YQg676yZZUcAfslZE9ry6rnz8/JZszNuxIiy45wQ3fV6frx2TS5buTwrd+8qOw4AAAAMC87oAwAAAJxA9aLIjRs35MaNG7Jg/Pi8cf7CvHLOvIxtGtynYeaPb8n/OOvs/O6Zz8jtW7fkR2tX58ZNG9Ndr5cdDYa1c5U7YcipVis549RpGTmilp5ex1ko09TRY/KK2XPyyjlzM398S9lxTpj1ezrznVUrctWa1dnd21t2HAAAABhWBvcrhgAAAAAD2Mrdu/N399+bLzz8YF45Z27eNH9R5o0fX3as41KtVHLh1Gm5cOq0dPb25roN6/KjtWty347tZUeDYWnR/Mmp1xup1aplRwFOoBFNtcyZ2Zblq7eVHQWGndG1Wi6aMTOvmjMvF0yekmqlUnakE6JRFFm8eVO+s2pFbt2yOUXZgQAAAGCYUtwGAAAA6Gd7+vry7ZUr8u2VK/LsyVPypgWL8oLpM1Ib5CWQ5hEj8rp5C/K6eQuybk9nfrh2TX60dnU2d3WVHQ2GjXmzJ6YyyP8tAQ5v7mzFbThZKknOnzQ5r5ozLxfPnDXoPy3nsTp6uvP9NatzxaoV2bB3b9lxAAAAYNgbOmcdAAAAAAaBO7ZtzR3btmb6mLF5w/wFec3c+ZkwalTZsY7b7HHNec8ZZ+U9Z5yVO7duyQ/XrckNG9anq14vOxoMaQvmTEy1qrgNQ9HcWW1lR4Ahb/a4cXnl7Hn5tTlzMmPsuLLjnFCP7GzP5StX5Nr1a9PTaJQdBwAAADhAcRsAAACgBJu69ubzDz+Yf1/ycF42a3Z+Y8GinDFhaBS0njVlap41ZWo+dM75uWHj+vx47ZrctW1r1EXgxBo7ZkQmtg2tkhmwX73eyLzZQ+P3Ahhoxo8YkZfOnJ1XzpmbcyZOKjvOCdVTr+e6Dety+coVeWhne9lxAAAAgMNQ3AYAAAAoUU+jkR+uXZMfrl2Tsya05Q3zF+Zls2ZnVK1WdrTjNrapKa+aMy+vmjMv2/Z15dr163L1urV5tGNn2dFgSJhjNV4YsqrVSubNnlh2DBgymiqVPG/a9Lxi1py8YPqMIfG79mNt3LsnV6xame+vWZWdPT1lxwEAAACOQHEbAAAAYIB4aGd7Hrrnzvzjg/fllbPn5vXzF2T++JayY50Qk0ePyVsXnZq3Ljo1q3bvyjXr1uaa9WuzYe/esqPBoDVPcRuGrEqlkvlzFLfheFSSnDdpcl4xa04unjkrLSNHlh3phGoURW7dsjnfXbUyizdv9Ok2AAAAMEgobgMAAAAMMLt7e3PZyuW5bOXynDdxUt4wf2EunjkrI6rVsqOdEPPHt+Q9Zz4j7znzGblvx/Zcs25trtuwLh1WB4SjMnf2xBRFkUqlUnYUoB+0tozJ+OZR2d3ZXXYUGFROaWnNr86ek5fPmp1pY8aWHeeE27ZvX65asyrfW70qm7q8CRIAAAAGG8VtAAAAgAHs3h3bc++O7fnMA/fmVXPm5fXzF2T2uOayY50w506clHMnTsoHzj43t27ZnGvWr83PNm1Md71edjQY8ObNbkujUaRWU9yGoWrurLY8uGRT2TFgwJsxdmxePmtOXjFrTha0DI1PrHmsRlHk9q1bcsXqlfn5po2pF0XZkQAAAIBjpLgNAAAAMAjs7OnJN5cvzX8uX5pnTZma189bkBdNn5GmIbIKd1O1mhdMn5EXTJ+RvX29uXHjhly9bm3u3LZVMQWexPw5E1OtKm3DUDZv9kTFbXgSE0aOzEtnzs7LZ8/JuRMnlR2nX2zfty9XrVmd761ZmY17ra4NAAAAQ4HiNgAAAMAgUiS5Y+uW3LF1SyaNGp1Xz52X181bkOljh87HwI9tGpFXzpmXV86Zl/buffnpxg25bv263Lt9Wxplh4MBZN7sialUFLdhqCqKInNntZUdAwaUMbWmvHD6jLxi9pw8Z8rUIfMmxl92+9bNuWLVyty0aWP6vIkRAAAAhhTFbQAAAIBBanv3vnxl6ZJ8bemSXDh1el43b36eP236kCqwtI0anTfOX5g3zl+Ybfu6cv2G9fnJ+nV5sH1HVFgYziZOGJuxY0aWHQPoR41GkbmzFbdhdK2WX5k2PS+bNTvPmzo9o2q1siP1i/buffnBmtW5cs2qrN+zp+w4AAAAQD9R3AYAAAAY5BpJFm/ZlMVbNmXSqNF51Zy5efXc+ZnT3Fx2tBNq8ugxecvCU/KWhadk8969uW7Duvxkw/o8srO97Ghw0ilzwtBXq1Uzf87EsmNAKUbVann+1Gl56czZ+ZVp0zO6aei+pHnH1i25cvXK/GzTxvQ2fL4MAAAADHVD9ywHAAAAwDC0vXtfvrbs0Xxt2aM5f9LkvGbu/Lxk5qwhtzLhtLFj87ZTTsvbTjkt6/d05roDK3Ev29VRdjQ4KebNUtyG4WDuLMVtho+R1WounDotL5s5O78yfUbGDuGy9uauvfnBmtX5wdrV2bh3b9lxAAAAgJNo6J7xAAAAABjm7tm+Lfds35Z/uP/e/OrsOXnN3Hk5fcLQK3vOGtec3z719Pz2qadnTefu/GT9uly3YV1W7t5ddjToN3NnT0yjUaRarZQdBehHo0c1Zcqk5mzd3ll2FOgXI6rVPHfK1Lx01uy8cNqMjBsxouxI/aa30cjPNm7IVWtW5/atm2NtbQAAABieFLcBAAAAhrjOvt58Z9WKfGfVipza0prXzJufV8yek/EjRpYd7YSb2zw+7z79zLz79DOzcveu3LBhQ366cb2VuBly5s5qS1EUSRS3YaibO7tNcZshpalSybOnTM1LZ87Oi2bMGJK/kz7W8l0d+f6aVbl63dp09PSUHQcAAAAomeI2AAAAwDCydFdH/v7+e/O5B+/PRTNm5bXz5ueCyVPKjtUvFoxvyYLTW/Ku08/I+j2d+enGDblhw/o8vLM9Rdnh4DgtmDsxtVq17BjASTBvVlvuvHdt2THguIyq1XLh1Gm5aMbMvGDajDQP4ZW1k6SztzfXrl+bq9aszsM728uOAwAAAAwgitsAAAAAw1BPo5Fr1q/NNevXZta4cXn1nPn5tTlzMm3M2LKj9YtZ45rz9lNOy9tPOS2bu/bmxo0bcsPGDblv+zYfU8+gNGNaa9kRgJOgURSZOd3PO4PTuKam/Mq0Gbloxsw8b+q0jG4a+i9L3r1ta65aszrXb1yf7nq97DgAAADAADT0z5AAAAAAcETr9+zJFx95MP/6yIO5YMrUvGrO3Fw0feaQLddMGzM2b1l4St6y8JTs6N6Xn23cmJ9uXJ+7tm1NvbAWNwPfqJFNGTVyaP58Ao/XaBRpbRlTdgx42iaMHJkXTp+Zi2bMzLOnTM2I6tD/dIjNXXvz47Vr84O1q7Juz56y4wAAAAADnLP7AAAAACRJGknu2Lold2zdkv/T1JSXzJyVV82Zl/MnTS47Wr+ZOGp0Xj9/QV4/f0F29fTkpk0bc8PG9bl965b0NKzFzcDU2jK67AjASVJJ0jrezzwD25TRY/LiGTNy0YxZOW/S5NQqlbIj9buuvr7csHF9frR2Te7attUnuAAAAABPm+I2AAAAAE+wt68vV61ZnavWrM7MsePyyjlz88rZczNz3Liyo/WblpEj8+tz5+XX587L3r6+3LZlc27atDE3b96UXb09ZceDQ6y+C8NHtVrJBD/zDEBzxjXnRTNm5OIZs3JW28Sy45w0d23bmh+uXZ2fbtiQrnpf2XEAAACAQUhxGwAAAIAj2rB3T/59ycP50pKHc96kyXnVnHl5ycxZGds0dE8tjW1qysUzZ+XimbNSL4rct31bbtq0MT/btDEb9u4pOx7DnNV3YfioVCppmzC27BiQapKzJ07KC6bPyAunzci88ePLjnTSrO3szI/Wrs6P1q3J5q6usuMAAAAAg9zQfXUNAAAAgBOqSHLP9m25Z/u2/P399+SiGTPzqjnzcsHkKalWKmXH6ze1SiXPnDwlz5w8Jb9/9rlZsavjUIn7kZ3tKcoOyLBjxW0YXvzMU5YxtVqeM2VaXjh9Rp4/bXraRo0qO9JJs7u3Jz9Zvy4/WrsmD7TvKDsOAAAAMIQobgMAAABw1PbV6/nxurX58bq1mTZmTH511py8YvacLGxpLTtav1vY0pqFLa15x2lnZNu+rty0aWNu2rQxd23bmp5Go+x4DAMTlDhhWGlpHj5lWco3adTovHD6jLxg+ow8a/KUjKrVyo500vQ1Grl1y+b8eN2a3LRpo9/rAAAAgH6huA0AAADAcdnc1ZWvLXs0X1v2aE5pac0rZs/Jy2fNydQxQ79cOnn0mLxh/sK8Yf7C7O3rza1btuTnmzfmls2bs7Onu+x4DFGtLaPLjgCcRE1NtYwdMyJ7u3rLjsIQtailJS+cNiMvnD4zZ7a1lR3npHuofUeuWbc2P9mwLju6/f4GAAAA9C/FbQAAAABOmGW7OrLsoY58/qEHct6kyXnF7Ll5ycxZaR4xouxo/W5s04i8ZOasvGTmrDSKIo/sbM/Nmzdl8eZNebRjZ4qyAzJktI4fk0ajkWq1WnYU4CRpbRmjuM0JM6pWyzMnTc7zp03Pr0ybnhljx5Ud6aRb07k7V69bm2vXr826PXvKjgMAAAAMI4rbAAAAAJxwjSR3b9+Wu7dvy9/ff0+eP216XjF7Tp4/dXpG1mplx+t31UolZ7VNzFltE/M7Z5yVbfv25dYtm3Lz5k25feuW7O3rKzsig1jL+NFpFInaNgwfLeNHZ+PmXWXHYBCbOXZsnjd1ep4/bXoumDwlo4bB72O/bNu+rly7fl2uWbc2Szp2lh0HAAAAGKYUtwEAAADoVz2NRm7YuCE3bNyQ8SNG5OIZs/KK2XPyzMlTyo520kwePTqvnjs/r547P32NRu7dvi2LDxS513R2lh2PQaa1ZUwqZYcATqoJLWPKjsAgM6JazXkTJ+V506bn+VOnZ9748WVHKkVnb29+umF9rlm/Nndv25pG2YEAAACAYU9xGwAAAICTZndvb763ZlW+t2ZVpo0Zk5fPmpNfnTU7p7ROKDvaSdNUreZZU6bmWVOm5v3PODfr93Rm8ebNWbx5U+7evjU9DZUijmxCy5jUatbbhuGkdfzosiMwCEwdPSbPmzYtz5s6Pc+eMjVjm4bny4A99Xpu3rwpV69fm1s2b/K7FQAAADCgDM8zNgAAAACUbnNXV76+7NF8fdmjmdc8Pi+dOSsvmzU788e3lB3tpJo1rjlvXticNy9clO56Pfds35Zbt2zO7Vs3Z+Xu3WXHYwBqm2DlXRhuWq24zWE0VSo5e+KkPG/qtDxv2vSc0tJadqTS1Isid2/bmmvWrc0NGzeks6+37EgAAAAAh6W4DQAAAEDpVnfuzpcefSRfevSRLGppyctmzs5LZ83O7HHNZUc7qUbVarlw6rRcOHVakmRLV1du37o5t27ZnDu2bs2u3p6SEzIQKHDC8OPnnoPmNjfnuVOm5TlTpuaZk6cM21W1k6RxoKx93Yb1uWHjhuzs6S47EgAAAMBTGr5ncwAAAAAYkJbv2pXlux7KFx95KKe3TshLZ83Oy2bOzvSxY8uOdtJNHTMmr547P6+eOz+NosgjO9tz25YtuW3r5jzYviP1oig7IidZpZI0jx1ZdgzgJKrXG2kdP7rsGJSkZcTIPHvKlDxnyrQ8d8rUTBuGvw89VqMoct+O7blu/br8dOP67OhW1gYAAAAGF8VtAAAAAAasJR07s6RjZ/75oQfyjLa2vHTm7Lx05uxMGTP8Vh6tVio5q21izmqbmHedfkY6e3tz17atuW3r5ty2ZXM27N1bdkROgvHNo1OtVsuOAZxERay4PZw0VSp5RtvEPHfq/lW1z5jQlmqlUnas0t23Y3uuX78u129cn2379pUdBwAAAOCYKW4DAAAAMCg82N6eB9vb808P3p9zJ07Ky2bNzsUzZ2XiqOG5CmnziBF58YyZefGMmUmS9Xs6c+fWrblz2/7Z2WMFyqHIqrsw/FQrittD3dzm5jx78tQ8d+q0XDB5csY2jSg70oDw4I4duW7Duly/YX227OsqOw4AAADACaG4DQAAAMCgUiS5d8f23Ltje/7h/ntz7qTJuWjGzFw0Y1amDsOVuA+aNa45s8Y153XzFyRJlu/qOFTkvmf71uzp6ys5ISfCmNHKfDDcVKvVjBnt5ZyhZMbYsblg8pQ8a/KUXDB5SiaPHr6/v/yyR3a257oN63Ld+vXZ1OXTRAAAAIChx5k+AAAAAAatRpJ7tm/LPdu35bMP3Jez2tpy0YxZuXjGrMwcN67seKVa1NKaRS2tuWTRKakXRZbsbM8dW7fmrm1bct+O7elpNMqOyDGoVqtlRwBKUPOzP6hNHj36UFH7mZOmDPvfUR6rURS5f8f23LBxQ27YuD6bu6ysDQAAAAxtitsAAAAADAlFkgfb2/Nge3v+70MP5NSW1lw8c1YumjEz88e3lB2vVLVKJWe1TcxZbRPzjtNOT0+9ngfad+TOrVty57ateXhne+pFUXZMnoZarVJ2BKAEtZri9mAyYeTIPHPSlFwwZUoumDQl88aPLzvSgNLXaOSubVtzw8YN+dmmDdnR3V12JAAAAICTRnEbAAAAgCFp6a6OLN3VkX955KHMbx6fi2bOysUzZubU1gllRyvdyFotF0yekgsmT8l7kuzt68sDO7YfWr384Z3t6bUi94BUrSpuw3DkTRsDW8uIkTl30qQ8c9LkPGvylJzid40n6K7Xc9uWzblh44b8fPPG7O7tLTsSAAAAQCkUtwEAAAAY8lZ17s6qRx/Jfzz6SGaOHZeLZ87MxTNm5ay2iWVHGxDGNjXluVOn5blTpyXZX656qH1H7tm+Lfdu35YH2ndkX71eckqSpFq16i4MRzU/+wPK5NGjc97EyTl/0uScN2lSFra0lh1pQNrb15ubN2/KDRs25JYtm9LldwkAAAAAxW0AAAAAhpcNe/fkG8uW5hvLlmby6NF5wbQZedH0Gblg8pSMrNXKjjcgjKrV8szJU/LMyVOSJH2NRh7Z2Z57t2/L3du35f4d27Onr6/klMNTzYrbMCzVaorbZZo1blzOnzg5506anPMnTcqscc1lRxqwdnZ35+ebN+WGjetzx9Yt6fEJHgAAAACPo7gNAAAAwLC1bd++XLF6Za5YvTJjm5py4ZRpeeGMGfmVqdMzfuTIsuMNGE3Vas6eOClnT5yUt596eupFkWUdHbl3+7bcs2NbHtixPTu6u8uOOSwob8Lw5Gf/5KkkWTC+5cBq2vtX1J48ekzZsQa0tZ2787NNG3PTpo15YMf2qGoDAAAAPDnFbQAAAABIsrevL9dvXJ/rN65PrVLJeZMm50XTZ+SF02dkxthxZccbUGqVSk6fMCGnT5iQSxadkiRZv6cz9+/YkQfat+f+Hduzctcuxa1+ULXiNgxLVtvvP6NrtZw5oS3PaJuYcyZOyjkTJ6XFm7eOqF4UeWDH9tx0oKy9dk9n2ZEAAAAABg3FbQAAAAD4JfWiyF3btuaubVvzmQfuy6KWlrxw+sy8aPqMnDGhrex4A9Kscc2ZNa45r5wzN0myp7c3D7bvyAPtO3Lfju15qH1H9vb1lZxy8FPchuGp4mf/hJkxdmzObpu4/5Mk2iZmUUtrmqpWNH8qXX19uW3r5ty0aWMWb96UnT09ZUcCAAAAGJQUtwEAAADgKSzftSvLd+3Kfzz6SKaMHpMXHliJ+5mTJmdkrVZ2vAFp3IgRee7UaXnu1GlJkkZRZMWujtzfviMP7Ni/KveGvXtLTjn4NBpF2RGAEhR+9o/JyGo1p0+YkLPbJuXsiRPzjLZJmTx6dNmxBo1t+7oOrap917at6Wn4LA0AAACA46W4DQAAAABHYeu+rnxn1Yp8Z9WKjK7V8qzJU/P8adPy/GnTM23M2LLjDVjVSiWntE7IKa0T8sb5C5MkO7r35aH29jzcviMP7WzPIzvbs7u3t+SkA1u9rjQHw1Gfn/2nZfqYsTlzQlueMXFizmmblNMmTMgIq2kflUd2tueWzZtz0+aNWbKzPd4yAAAAAHBiKW4DAAAAwDHaV6/n55s35uebNyZJFrW05PlTp+f506bn7ImTUqtUSk44sE0cNfrQ6uUHre3cnYd2tufh9vY8vHNHlnZ0WOHzMay4DcNT3c/+E0wYOTJnTGjLWW0Tc8aEtpw5YULaRllN+2jt7u3J7Vu2ZPGWTbl1y+bs6O4uOxIAAADAkKa4DQAAAAAnyPJdu7J81658bdmjGT9iRC6cOi3Pmzo9z5s6LRNGjSo73qAwp3l85jSPz6/Nnpsk6W00snxXRx5ub8+DO3fk4fb2rOncPWxXAFXehOGpMcxX3B5Ta8rpEybkzAltOXNCW86Y0JaZ48aVHWvQWrarI7ds3pTFmzflgfYdqReOLQAAAAAni+I2AAAAAPSD3b29uXb9uly7fl2qSc5sm5hfmTY9z5s6PadPmFB2vEFjRLWaMw6U9N6YhUmSPb29eWRne5Z07MyjHTuzZOfOrNvTOSzK3A2rj8OwVB9GP/sjq9UsbGk9VNA+a0Jb5o0fn6pPsThme/v6csfWLblly6bcsnlztuzrKjsSAAAAwLCluA0AAAAA/ayR5MH2HXmwfUf+5ZGHMmnU6Dx36tRcOGVanj1lqtW4j9K4ESPyrClT86wpUw9t29vXm6UdHfuL3B078+jOnVnduXvIrSLasOI2DEv1+tD82R/X1JRTWyfk1NbWnNY6Iae2Tsj85vFpqlbLjjborencnZs3b8otmzfl3h3b0zuMyv8AAAAAA5niNgAAAACcZNu79+WHa9fkh2vXpJrk1NYJuXDqtDxnytScM3GSwtoxGNs0IudNmpzzJk0+tK27Xs/yXfvL3AdX5l65e1d6BnF5baiWN4Ejq9cH779bB7WNGpXTD5SzT2ttzamtEzJ7XHPZsYaMXT09uWPrltx+YDZ17S07EgAAAACHobgNAAAAACVqJFlyYJXoryxdkrFNTXnmpCm5cOrUPGfKtMxpVmo7VqNqtZzVNjFntU08tK2v0cjK3buybFdHVuzaf7l8V0d2dHeXmPTpqw/i0jlw7AbTz341ycxx47Ko5ReraJ/W2prJo8eUHW1I6Ws08kD7jty+ZXNu27olS3a2Z/D8VwIAAAAwfCluAwAAAMAAsrevLz/fvDE/37wxSTJz7Ng8d+q0PHfKtDxr8pSMGzGi5ISDW1O1mlMPFAkfq717X5bv+kWhe/mujgG5OnfXvt6yIwAnWb3RSFfXwPzZnzByVBa1tGRRS2sWtbRk4fjWLBg/PqObvPzUH9Z27s5tW7fkti1bcvf2rdnb11d2JAAAAACOkjNnAAAAADCAbdi7N99dtTLfXbUytUolz2ibmOdMmZpnTZ6Ss9ompqlaLTvikNA2anSePWV0nj1l6qFt9aLI2s7dWX6gyH3wcnPX3hQl5ezY1VXSdwbKUhTl/+yPqtUyv3l8TmlpzcIDRe2FLS2ZOGp0qbmGut09Pblj2/6i9u1bt2RT196yIwEAAABwnBS3AQAAAGCQqBdF7tuxPfft2J5/W/JwxtRqOW/S5FwweUqeNXlKTm2dkGqlUnbMIaNWqWT++JbMH9+Sl82afWj73r6+rN69O6s7d2XV7t1ZeeD6hj170t/rc3fu6U6j0UhVYR+GjUol2bl730n5XqNqtcxrHp95zc2Z19yS+ePHZ1FLS2aNa3Z8OQn29fXl3h3bc9e2rblr29Ys2dne78cVAAAAAE4uxW0AAAAAGKS66vXcsmVzbtmyOUnSMmJkzp88Oc+ePCUXTJ6S+eNbSk44NI1tasqZbW05s63tcdu76/Ws7dydVZ27s2r37qzavSurO3dnbWdn+ooTs0Z3USSde3rSMt4qtzBc1KrVE77idsuIkZk/fvz+kvb48Zl/4HLG2HEn9PtwZD31eh5s35E7DxS1H2rfccKOFwAAAAAMTIrbAAAAADBE7OrtyY0bN+TGjRuSJJNHjz6wGvfUPHvylEwbO7bkhEPbqFotp7ROyCmtEx63va/RyPo9e7Kqc1fWdHZmbWdn1u3pzJrOzuzs6T7q79Oxq0txG4aZjl1Hv+J2Ncm0sWMze1zzoWL2vObxmT9+fNpG+TekDH2NRh7Z2Z67tm3Nndu25v4d29PTsKY2AAAAwHCiuA0AAAAAQ9S2ffty9bq1uXrd2iTJzLHj8uwpU3LepMk5f9LkTBujyH0yNFWr+wuT48c/YV9nb++hIvfaPftL3Wv3dGZdZ2c6+3oP+3g7OvZmzqy2w+4DhqaO3YdfcbuSZOqYMZk9rjmzxzVnTnPzgevjMnPsuIys1U5uUB6nURRZ2tGRu7ZtyZ3btube7dvTVe8rOxYAAAAAJVLcBgAAAIBhYsPePbly9Z5cuXpVkmTG2LE5b9LkPHPS5Jw3aXJmj2suN+Aw1DxiRM5sa8uZbU8sYrd37ztQ5N6TtZ27s2HvnmzYuzd7tnelr6+epiaFTBgOiqJI9vTlmZMmP6aY3Zw545ozc9y4jFLOHjD6Go0s2bkz9+7Ylnu3b8t9O7Znd+/h34QDAAAAwPBUSVKUHYLytLe3J0naDvPCEAAAAADDy+TRo3P+gRL3+RMnZ0FLS9mReDIjKqm0jEilpemJl+ObUhlRLTsh8DQVRZHsa6TY1ZtiV1+K3X2/uL6rL8Xu3qRRdkoOp7tez4PtO3LP9m25b/u2PNi+I131etmxAAAAACjRU/VyFbeHOcVtAAAAAJ7MhJEjc+6BEvf5kyfnlJbWVCuVsmPxdIytPbHM3fyYGanYDSdLURRJd2N/IfuxpezHXE+fl2oGg87e3ty/Y3vu3b4t92zfliUdO9Pb0KoHAAAA4BcUtzkixW0AAAAAnq7mphE5e+LEnN02KWdPnJiz2iZmbFNT2bE4FqOqvyhxj29Kpbl26Hqam1IZ15RKTUkfnsqhUvae+v4idmdfij37L9NZ3/91p2L2YLV9377HFbWX7+qw+DkAAAAAR6S4zREpbgMAAABwrGqVSha1tObstok5Z+L+MveMsePKjsWJMvZAmbu5lsrYplTG1fZvG9eUytja/q/H1FKxCjtDVFEvkr31/UXsvfX9s6cv6exLoZQ95PQ1Glm+qyMPtO/IAzu254H2Hdm4d2/ZsQAAAAAYZBS3OSLFbQAAAABOpMmjRx8qcp8zcVJOa52Qpmq17Fj0l0r2l7kfU+h+XLl77IFy95haMqKi5E3pDq2QfaCI/cvF7Md+nW5rKw9lO7u782D7jkNF7Yd3tmdfvV52LAAAAAAGOcVtjkhxGwAAAID+NLJazRkT2vavyN02MWe2Tczk0aPLjkUZapVkTDWV0QeK3GNqqRz4+mC5e//2A9tGVRW9eUpFvUi66in21VN0NZJ99RQHvk5X48BlPcW+RoquerKvnuhjDzuNosiK3bvy4I4dub99ex7csSNr93SWHQsAAACAIUhxmyNS3AYAAADgZJs6ekzObGvLWRPacmbbxJwxYULGNo0oOxYDTSX7y9ujqsmo2oHLI3w9upqMrP5iu9L3oFAURVI/sAp2d+MXlz2NFN37V70uehqP39/zi4J2er3EwRNt6erKIzvb81D7jjyysz0P72zPnr6+smMBAAAAMAwobnNEitsAAAAAlK2aZN748TlzwsRDhe5FLa1pqlbLjsZg1lTZX+QeUU1GPOb6yMqBbfu3V0buv145cJuMqKbSVNm/QnhTJZUDl2mq7t9WzbAshRdFsX+l6r4iqTeSvmL/atd9RdLbSNFz4LK3sb9M3dtIceDysdd/sa04UMi2AjbHZ3dPTx4+UM5+eGd7Hm5vz/bufWXHAgAAAGCYUtzmiBS3AQAAABiIRlarObV1woFVudtyVtvEzB7XXHYs2H9W/VCZu5JKrbr/+sGid3V/uTvVyv7bPubrx+07dJsDZfCDt3863/9wXxwoVh8qWB+8bBT7XwU4cFk0HrP/4Pb6/in6fnH9UDH7YDm77qUEyrevry+PduzMwzvb96+ovbM96/fsKTsWAAAAAByiuM0RKW4DAAAAMFg0N43Iqa2tOa11Qk6bMCGntU7IvObxqQ7D1Y8Bhrp9fX1ZtqsjSzs6sqRjZx7Z2Z6Vu3elXnhZCwAAAICB66l6uU0nMwwAAAAAwLHq7OvN3du35e7t2w5tG12r5ZSWA2XuA4XuheNb0lStlpgUgKOxu6cnj3bsPDAdWdqxM2s6d6dRdjAAAAAAOMEUt0+AWq2W3//938973vOeLFiwIBs3bsyXvvSlfPKTn0xfX99T3r+trS1/+Zd/mde85jWZOnVqHn744fzN3/xNLr300ifcdsyYMfnoRz+at73tbZk1a1ZWrlyZz33uc/m///f/9sdTAwAAAIABbV+9ngfad+SB9h2Hto2oVrNwfMuhIvfprROyqKU1o2q1EpMCkCRbu7ryaMfOLO3oOFTW3tS1t+xYAAAAAHBSVJL4TLnj9PnPfz7vfe9787Of/Sw///nP84IXvCAvetGL8q1vfStvectbjnjfsWPH5sYbb8z555+fyy67LGvWrMlv/MZvZNGiRXn/+9+fz33uc4duW61Wc+WVV+bVr351rrrqqtx///151atelfPOOy9/+7d/mz/+4z8+6uxPtSQ7AAAAAAwF1SSzxjXnlJbWLGxpyaKW1pzS0pqZ48aVHQ1gSOptNLJ6964s370rK3btyrKOjjy6a2fau7vLjgYAAAAA/eapermK28fp+c9/fm6++eZcdtllueSSSw5t//KXv5x3vvOdec1rXpOrrrrqSe//0Y9+NB//+Mfzvve979Cq2c3NzVm8eHEWLFiQBQsWZOvWrUmSt73tbfnGN76RT3/60/nIRz6SJGlqasqPfvSjvOQlL8l5552XBx544KjyK24DAAAAMJyNbWrKwvH7i9yLWg5etqZ5xIiyowEMGhv37snyXbuyYlfH/svdHVnT2Zl64SUoAAAAAIYXxe1+9rWvfS1vf/vbc/bZZ+fBBx88tH3GjBlZt25drrzyyrzxjW980vuvXbs2TU1NmTVrVhqNxqHtb33rW/PNb34zH/zgB/OZz3wmSXLTTTfluc99bqZOnZqdO3ceuu3znve8LF68OP/wD/+QP/zDPzyq/IrbAAAAAPBE08aMObA69/5C9/zxLZk7rjkja7WyowGUZldPT5bv6siKA6toH7y+t6+v7GgAAAAAMCAobvezNWvWZPTo0Zk6deoT9j388MOZNm1aJk6ceNj7Lly4MMuXL3/Cat1JMm3atGzatCnf+c538qY3vSkjR45MZ2dn7rnnnjz3uc993G2r1Wp27dqVRx99NBdccMFR5VfcBgAAAICnp1apZMbYsZk/viXzm8dn/vjx+wvdzeMztqmp7HgAJ8z2ffuyunN3Vu/enVWduw5c7s62ffvKjgYAAAAAA9pT9XK9mnAcRo4cmTlz5uSWW2457P5Vq1bljDPOyOTJk7Nt27Yn7F+0aFGSZPny5U/Yt3nz5nR1deW0005LksybNy8jRow47G0bjUbWrl176LYAAAAAwIlXL4qs27Mn6/bsyU3ZeGh7JcnUMWOyYHxL5jXvL3PvL3WPz/gRI8sLDHAEjaLIpr17s6pzd1bv3nXgcndWd+7O7t7esuMBAAAAwJCkuH0cDq6kvXPnzsPu7+joSJK0trYetrg9adKkI95/165daW1tfVq37ejoyBlnnJFarZZ6vf50nwIAAAAAcJyKJJu7urK5qyu3bNn8uH2TRo3O3ObmzB7XnDmPuZw1dlxG1mrlBAaGlc7e3qzb05l1ezqztrMzqzt3Z9Xu3VnTuTs9jUbZ8QAAAABgWFHcPg4jRoxIknR3dx92/8Hto0ePPub7jx079qi/1549ew5tP7jk+pNpbW09VDAHAAAAAE6s7d37sr17X+7e/viFHapJpo0du7/IfaDMPWdcc2Y3N2fG2HGpVSrlBAYGpb19vVnbuSfr9nRm/Z7OrD1U1N6TnT2Hf10BAAAAADj5FLePQ1dXV5Jk5MjDf9zpqFGjkuRxReqjvf/B+z6d2zYajezdu/dppgcAAAAAytJIsnHv3mzcuze3b93yuH1NlUpmjB2Xuc3NmTWuOTPGjs3MseMyc+y4zBg7NqObnNaF4Wh3T082du3dX8zu3PO4gvaOJ1n0BQAAAAAYWJzhPw4dHR2p1+tpbW097P6D259sReuDq2E/2f1bWlqyefPmp3Xb1tbWdHZ2piiKx21va2s74nN4qhW5AQAAAICTq68osvZAIfNwJo4alZljx+VXLzgl/+0l56TY1Ztid18aHX3Jnr6kOOzdgIGuqZJKS1MqLSNSGd+UfSOKfOzz12TD3j3ZtHdvOvt6y04IAAAAABwnxe3j0Nvbm9WrV2fBggWH3b9gwYJs2bLlScvRjz766KHb/bLp06dnzJgxWbJkSZJk1apV6e7uPuxtq9Vq5syZk4ceeuhYnwoAAAAAMEjs6O7Oju7u9Kxcmbd/5MWP21fUixS7+1Ls7k3R0Zeic/+ks2//9s6+/ct9AyffiEoqzU375zEF7YPXM7qaSqWSJCmKIsseWJ8bN20oOTQAAAAAcCIpbh+nm266Ke94xzty6qmnZunSpYe2z5gxI6effnquvPLKJ73v2rVrs3r16rzwhS9MpVJ53GrZF198cZJk8eLFSZJ6vZ5bb701z33uc9Pc3JzOzl+stvPc5z4348aNO3RbAAAAAGDoW7th5xO2VWqVVCaMSCaMSOY88T5FUSRd9RSd9f2l7t2/KHcfKnnvqVu1G47WY0vZzU3JuNr+Uva4A9vGN6Uysvq0H67RKLJ63Y5+DAwAAAAAlEFx+zh95StfyTve8Y58/OMfzyWXXHKofP2JT3wiSfLFL37xiPf/6le/mj/7sz/L+9///vzjP/5jkqS5uTl/+qd/mr179+arX/3q477Xi1/84vzFX/xFPvzhDydJmpqa8ld/9VdJkn/5l3854c8PAAAAABiYuvb1ZtuOzkye2Py071OpVJKxTamMbUqmjjrsbYpGkeypp9jTl2JPPcXe/ZfZ05dib/3AtnrSVT9RTwUGrmoO/MzUUhlX23859kAx+1BRu5aM/MVq2SdCrVbNmvWH/zRPAAAAAGDwUtw+Tj/5yU/yn//5n3nrW9+axYsX5/rrr8+v/Mqv5MUvfnEuu+yyXHXVVYdu+7GPfSxJ8hd/8ReHtv3N3/xNLrnkknz2s5/NRRddlOXLl+c3fuM3smjRorz//e/Ptm3bDt32S1/6Ut797nfnQx/6UM4555zceeedeeUrX5nzzz8/n/70p/PAAw+cvCcOAAAAAJRu5ZodmThhXKrVE1cYrVQryfj9KwQfSVE/sHr33seXvHOg2F107S93F/vqSY8lvBlgRlUPlLBr+4vZh0rZj/86o05sIftorF6nuA0AAAAAQ00lPvTyuDU1NeV//a//lXe9612ZNWtW1qxZk69+9av5m7/5m/T09By63cHVuH/5JO/UqVPz8Y9/PK997Wszbty4PPLII/n0pz+d//qv/3rC92pubs5f/MVf5JJLLsmkSZOyfPny/PM//3P++Z//+dDjH4329v0nftva2o76vgAAAABAuT76By/PG155bmq1atlRjuhQyftgkbur8ZjrB7Z3NZJ9Bwrf3Q1nrnn6mirJ6FoqY6qpjKntvz76Mdcft72WjK7uf4PCAPeW93wpK9dsLzsGAAAAAHAUnqqXq7g9zCluAwAAAMDg9ZbXnp//9/0vLzvGCVcURdJTpOjeX+IuuhtJd33/5b5Gip7Gge0H9u97zNc9jaRR9jPgqI2sJCNrqYyq7l/l+uDlyINfH9g38pf2jamlMmJgv3HhWPT21vOiN3wmfX3+YwYAAACAweSperlH/qxLAAAAAAAGrPse2lB2hH5RqVSSUZX9Bd1jUNSLpKeRoreR9D72eiNFT5H0Ng5s23/9cbfrK5J6kfQ1kr5i/2Md2jbM10GpJKlV9k9TJZWD10dUUxmx/zIjqqmMPHi9sr9U/bj9v9iWEZX95euRg2MF7JOl0WjkwSUblbYBAAAAYAhS3AYAAAAAGKSWrdyafd29GT1qRNlRBpRKrbJ/JeYxtRP6uEVR7F/N+0lK3UW9SBoHbtMokuIX14uD2x63/+C+4slXCX/Srnjx+KuVSlLN/gJ0JcljL6u/2J9KJZXHfn1wf62SSq2aNFUOlbMrj7mepopy9UlTGbJvygAAAACA4U5xGwAAAABgkKo3itz/8IY869w5qVaPbXVqnr5KpZLUktRqyaj9vWg40arVSu5V3AYAAACAIcmZfAAAAACAQey+hzbsLxQDQ8b9DytuAwAAAMBQpLgNAAAAADCIKW7D0LJ+U0d27NxbdgwAAAAAoB8obgMAAAAADGL3P7Kx7AjACVKvN3LPA+vKjgEAAAAA9BPFbQAAAACAQWzX7n1ZtXZHiqIoOwpwnGq1au57aEPZMQAAAACAfqK4DQAAAAAwyN3zwLo0GorbMBTc+9D6siMAAAAAAP1EcRsAAAAAYJC776ENqdWc7oXBbm9XT1as3l52DAAAAACgnziTDwAAAAAwyN378IayIwDHqV5v5P6HN1g9HwAAAACGMMVtAAAAAIBBbs26Hdndua/sGMBxqFYrufchb8IAAAAAgKFMcRsAAAAAYJAriuSeB9enXm+UHQU4RpVKJfcpbgMAAADAkKa4DQAAAAAwBNz30IbUak75wmDVaBR54JGNZccAAAAAAPqRs/gAAAAAAEOAlXph8CqKIqvWbk/nnu6yowAAAAAA/UhxGwAAAABgCHhwyabU642yYwDHoFEUueeB9WXHAAAAAAD6meI2AAAAAMAQsK+7Nw8u2ZRGQ3kbBptatZo77l1TdgwAAAAAoJ8pbgMAAAAADBE/vXlpqlWnfWGw6eur5+e3ryw7BgAAAADQz5zBBwAAAAAYIm5YvKzsCMBRqtcbueO+tdmzt6fsKAAAAABAP1PcBgAAAAAYIlava8/a9e1pFEXZUYCnqVar5oabvekCAAAAAIYDxW0AAAAAgCHk+p8vTfS2YVC58ZblZUcAAAAAAE4CxW0AAAAAgCHkhsXLUq1Wyo4BPA2NRiNLlm3O5q27y44CAAAAAJwEitsAAAAAAEPI/Y9szM5dXWXHAJ6GSqWS629eVnYMAAAAAOAkUdwGAAAAABhCGo0iN9y8LPVGo+wowFOoVCq5cbHiNgAAAAAMF4rbAAAAAABDzA2Ll6VWdfoXBrKiKLJp6648umJr2VEAAAAAgJPEmXsAAAAAgCHm1rtXp7unr+wYwBEURfLTn1ttGwAAAACGE8VtAAAAAIAhpru7L4vvWJl6vVF2FOBJVKuV3LBYcRsAAAAAhhPFbQAAAACAIeiGxctTqzkFDANV557u3HX/urJjAAAAAAAnkbP2AAAAAABD0E23rkijUZQdAziMer2Rn9263Kr4AAAAADDMKG4DAAAAAAxB7R17c//DG1JvKIbCQFOrVXPD4uVlxwAAAAAATjLFbQAAAACAIeqnNy9Lreo0MAw0fX31LL5jZdkxAAAAAICTzBl7AAAAAIAh6vqbl5YdAfgl9Xojt969Onv29pQdBQAAAAA4yRS3AQAAAACGqHUbdubu+9elXm+UHQU4oFar5oof3V92DAAAAACgBIrbAAAAAABD2OU/uDe1mlPBMBAURZGdHXtz4y3Ly44CAAAAAJTA2XoAAAAAgCHsupuWZvee7rJjAAd890f3p6/PKvgAAAAAMBwpbgMAAAAADGHdPX353tUPpNEoyo4Cw16lUsl3f3R/2TEAAAAAgJIobgMAAAAADHHf/eF9qVYrZceAYa1eb+T2e9Zk3YadZUcBAAAAAEqiuA0AAAAAMMStWL099z20IfV6o+woMGzVatVc/oN7y44BAAAAAJRIcRsAAAAAYBj49lX3plZzShjKUBRFOnZ35ac3Lys7CgAAAABQImfpAQAAAACGgWt/tiR79naXHQOGpSLJlT9+IL299bKjAAAAAAAlUtwGAAAAABgGurv7ctW1D6XRKMqOAsNOtVLJd394X9kxAAAAAICSKW4DAAAAAAwT3/nhfalWK2XHgGGlXm/krvvWZvW69rKjAAAAAAAlU9wGAAAAABgmlq7YmgeXbEq93ig7CgwbtVo1l//AatsAAAAAgOI2AAAAAMCwcvlV96RWc2oYTpbde7pz3U2Plh0DAAAAABg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"text/plain": [ "<Figure size 3600x1440 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# If we visualise where this recommendation lands, it does appear to fit on the global minimum\n", "\n", "fig, (ax1) = plt.subplots(1,1, figsize=(50, 20))\n", "\n", "ax1.set_title('Plugging in values for x between 0 and 1',fontsize=60)\n", "ax1.set_xlabel('x value',fontsize=60)\n", "ax1.set_ylabel('loss',fontsize=60)\n", "\n", "circ = plt.Circle(((recommendation.value[0]), 0.01), 0.05, color='y')\n", "\n", "ax1.add_patch(circ) \n", "\n", "ax1 = plt.plot(grid_search,loss_list, lw=20, color='r')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's apply this to the distributions we generated earlier and minimise the loss using the KS test as a loss function." ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 1440x720 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Recall the two distributions from before\n", "\n", "ax = plt.subplots(figsize=(20, 10))\n", "ax = sns.kdeplot(first_normal_random_list, \n", " color='SpringGreen', \n", " shade=False, \n", " label='Real sample',\n", " linewidth=8)\n", "ax = sns.kdeplot(second_normal_random_list, \n", " color='magenta', \n", " shade=False, \n", " label='Simulated sample',\n", " linewidth=8)" ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [], "source": [ "\"\"\"\n", "Create a KS-based loss function which generates the magenta distribution\n", "Recall that as a starting point, the green and magenta samples are drawn \n", "from distributions generated with different parameters. Here the optimisation\n", "will serve to try and recover the parameters.\n", "\n", "second_distribution_mean = 13\n", "second_distribution_std = 4\n", "\n", "versus\n", "\n", "first_distribution_mean = 10\n", "first_distribution_std = 3\n", "\"\"\"\n", "\n", "\n", "second_distribution_number_samples = 200 # Decrease N to save time\n", "parameters = [second_distribution_mean, second_distribution_std]\n", "\n", "def generate_second_distribution(parameters):\n", "\n", " # Generate second distribution\n", " second_normal_random_list = []\n", " while len(second_normal_random_list) < second_distribution_number_samples:\n", " \n", " random_number = int(np.random.normal(loc=parameters[0], scale=abs(parameters[1])))\n", " \n", " if demo_min <= random_number <= demo_max:\n", " second_normal_random_list.append(random_number)\n", " \n", " # Check the loss using the KS function\n", " computed_ks = stats.ks_2samp(first_normal_random_list, second_normal_random_list)\n", "\n", " # Return the loss\n", " return computed_ks[0]\n", " " ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.319" ] }, "execution_count": 74, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Dmax - the KS test statistic is the loss for this function. This is what we will aim to minimise\n", "generate_second_distribution(parameters)" ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[10.09413147 3.1423405 ]\n" ] } ], "source": [ "# Now minimise the loss function \n", "\n", "# Optimization on x as an array of shape (2,)\n", "parametrization = ng.p.Array(init=[second_distribution_mean,\n", " second_distribution_std])\n", "\n", "\n", "optimizer = ng.optimizers.OnePlusOne(parametrization=parametrization, # What's the starting point\n", " budget=1000) # How much time to spend on optimisation\n", "\n", "\n", "recommendation = optimizer.minimize(generate_second_distribution) # Best value\n", "print(recommendation.value)" ] }, { "cell_type": "raw", "metadata": {}, "source": [ "These were the parameters used the green distribution. How did we get?\n", "\n", "first_distribution_mean = 10\n", "first_distribution_std = 3\n", "\n", "Running the optimisation with a larger budget will take longer, but will yield better results. If the results are far off, it's best to start over and re-initialise to:\n", "\n", "second_distribution_mean = 13\n", "second_distribution_std = 4" ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [], "source": [ "parameters = [recommendation.value[0],\n", " recommendation.value[1]]" ] }, { "cell_type": "code", "execution_count": 77, "metadata": {}, "outputs": [], "source": [ "# Now let's generate magenta distribution using the new parameters and judge how similar\n", "# The distributions now appear\n", "\n", "second_normal_random_list = []\n", "while len(second_normal_random_list) < second_distribution_number_samples:\n", " \n", " random_number = int(np.random.normal(loc=parameters[0], \n", " scale=parameters[1]))\n", " \n", " if demo_min <= random_number <= demo_max:\n", " second_normal_random_list.append(random_number)\n" ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 2160x1080 with 1 Axes>" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plt.subplots(figsize=(30, 15))\n", "ax = sns.kdeplot(first_normal_random_list, \n", " color='SpringGreen', \n", " shade=False, \n", " label='Real sample',\n", " linewidth=8)\n", "ax = sns.kdeplot(second_normal_random_list, \n", " color='magenta', \n", " shade=False, \n", " label='Simulated sample',\n", " linewidth=8)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.8.6" } }, "nbformat": 4, "nbformat_minor": 4 }