{ "cells": [ { "cell_type": "code", "execution_count": 126, "id": "bfb1c2df", "metadata": {}, "outputs": [], "source": [ "import math\n", "\n", "# constant coefficients used in the function below\n", "#\n", "base_maintenance = 50000\n", "external_cost_coefficient = 0.9\n", "internal_cost_coefficient = 0.75\n", "lifetime_coefficient = 20\n", "market_saturation_onset = 1000000\n", "min_investment = 100000\n", "productivity_coefficient = 3\n", "oversaturation_coefficient = 1.5e-07\n", "\n", "# yearly deficit of some industrial operation, as a function of:\n", "# - investment x[0] = i\n", "# - depreciation period x[1] = d (in years): time that the equipment is in use\n", "#\n", "# taking into account:\n", "# - operating cost (repairs etc. increase if the equipment remains in use for more time)\n", "# - depreciation cost (investment cost per year, i.e., divided by depreciation period)\n", "# - production cost, including labour cost (increases if you need to rely on external providers)\n", "# - income from sales (this is a negative contribution to cost)\n", "#\n", "def investment_mco(x, debug_output):\n", " i, d = x[0], x[1] # x[0] contains the investment, x[1] contains the depreciation period\n", " if i < 0:\n", " i = 0 # making a profit by \"negative investment\" would be nice, but does not work\n", " if d < 1:\n", " d = 1 # less than one year is not feasible\n", " p = max((i - min_investment)*productivity_coefficient, 0) # production volume p determined from i\n", " \n", " production_cost = internal_cost_coefficient*p\n", " operating_cost = base_maintenance + lifetime_coefficient*(d**0.5)*(p**0.5)\n", " annual_depreciation = i/d # the investment is done once and used over d years\n", " \n", " income_per_unit = 1.0\n", " if(p > market_saturation_onset):\n", " income_per_unit -= oversaturation_coefficient * (p - market_saturation_onset)\n", " sales_income = income_per_unit * p\n", " \n", " genuine_cost = operating_cost + annual_depreciation + production_cost\n", " sales_contribution = - sales_income\n", " balance = genuine_cost + sales_contribution\n", " \n", " if debug_output:\n", " print(\"total investment\\ti = GBP \", round(i, 2), \"\\nproduction volume\\tp = GBP \", \\\n", " round(p, 2), \" per year\\ndepreciation period\\td = \", round(d, 2), \\\n", " \" years\", sep=\"\", end=\"\\n\\n\")\n", " print(\"operating cost:\\tGBP \", round(operating_cost, 2), \" per year\\ndepreciation:\\tGBP \", \\\n", " round(annual_depreciation, 2), \" per year\\nprod.cost:\\tGBP \", round(production_cost, 2), \\\n", " \" per year\\nsales contrib.:\\tGBP \", round(-sales_income, 2), \\\n", " \" per year\\n==\\ntotal deficit:\\tGBP \", round(balance, 2), \\\n", " \" per year\\n==\\n\", sep=\"\", end=\"\\n\")\n", " \n", " y = [genuine_cost, sales_contribution]\n", " return y\n", "\n", "# the first argument, x, is a list containing the parameter values\n", "# the second argument, w, is a list containing the weights associated with each of the objectives\n", "#\n", "def investment_linear_combination(x, w):\n", " combined_cost = 0\n", " y = investment_mco(x, False)\n", " for i in range(min(len(y), len(w))):\n", " combined_cost += w[i]*y[i]\n", " return combined_cost\n", "\n", "# the first argument, x, is a list containing the parameter values\n", "# the second argument, yoff, is a list containing hyperboxing offsets for the optimization criteria\n", "#\n", "def investment_hyperboxing(x, yoff):\n", " y = investment_mco(x, False)\n", " ymax_shifted = -math.inf\n", " for i in range(min(len(y), len(yoff))):\n", " yi_shifted = y[i] - yoff[i]\n", " if yi_shifted > ymax_shifted:\n", " ymax_shifted = yi_shifted\n", " return ymax_shifted" ] }, { "cell_type": "code", "execution_count": 38, "id": "8c0749c0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "total investment\ti = GBP 110000.0\n", "production volume\tp = GBP 30000.0 per year\n", "depreciation period\td = 7 years\n", "\n", "operating cost:\tGBP 59165.15 per year\n", "depreciation:\tGBP 15714.29 per year\n", "prod.cost:\tGBP 22500.0 per year\n", "sales contrib.:\tGBP -30000.0 per year\n", "==\n", "total deficit:\tGBP 67379.44 per year\n", "==\n", "\n", "Output from multicriteria cost function: [97379.43710419742, -30000.000000000044]\n", "Output from 1:1 addition of the two cost measures: 67379.43710419738\n" ] } ], "source": [ "# example parameter choices that yield a deficit;\n", "# we would like to see a profit (negative deficit) instead\n", "#\n", "x = [1.1*min_investment, 7]\n", "\n", "our_deficit = investment_mco(x, True)\n", "print(\"Output from multicriteria cost function:\", our_deficit)\n", "\n", "linear_combination_1_1 = investment_linear_combination(x, [1, 1])\n", "print(\"Output from 1:1 addition of the two cost measures:\", linear_combination_1_1)" ] }, { "cell_type": "code", "execution_count": 127, "id": "c5ab3372", "metadata": {}, "outputs": [], "source": [ "import scipy.optimize as opt\n", "\n", "# the arguments are the initial point x0 and the weights w\n", "#\n", "def investment_optimization_wrapper(x0, w):\n", " # below we define a function inside this function, for which w is fixed;\n", " # then, only the list x remains as an argument\n", " def fixed_weight_cost_function(x):\n", " return investment_linear_combination(x, w)\n", " \n", " # the function defined above has the right format to be handed over to opt.minimize\n", " local_minimum = opt.minimize(fixed_weight_cost_function, x0, method='nelder-mead', \\\n", " options={'xatol': 0.0001})\n", " return list(local_minimum.x)\n", "\n", "# the arguments are the initial point x0 and the offsets yoff\n", "#\n", "def investment_hyperboxing_wrapper(x0, yoff):\n", " # below we define a function inside this function, for which yoff is fixed;\n", " # then, only the list x remains as an argument\n", " def fixed_offset_cost_function(x):\n", " return investment_hyperboxing(x, yoff)\n", " \n", " # the function defined above has the right format to be handed over to opt.minimize\n", " local_minimum = opt.minimize(fixed_offset_cost_function, x0, method='nelder-mead', \\\n", " options={'xatol': 0.0001})\n", " return list(local_minimum.x)" ] }, { "cell_type": "code", "execution_count": 50, "id": "76c2d71f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimum with respect to 1:1 addition of the two cost measures:\n", "total investment\ti = GBP 478041.2\n", "production volume\tp = GBP 1134123.6 per year\n", "depreciation period\td = 12.63 years\n", "\n", "operating cost:\tGBP 125695.82 per year\n", "depreciation:\tGBP 37847.91 per year\n", "prod.cost:\tGBP 850592.7 per year\n", "sales contrib.:\tGBP -1111306.69 per year\n", "==\n", "total deficit:\tGBP -97170.26 per year\n", "==\n", "\n", "Output from multicriteria cost function: [1014136.4315370913, -1111306.6897637006]\n", "Output from [1:1] weighted addition of the two cost measures: -97170.25822660932\n" ] } ], "source": [ "initial_point = [1.1*min_investment, 7]\n", "weight = [1, 1]\n", "\n", "optimum_1_1 = investment_optimization_wrapper(initial_point, weight)\n", "\n", "print(\"Optimum with respect to 1:1 addition of the two cost measures:\")\n", "opt_deficit_1_1 = investment_mco(optimum_1_1, True)\n", "print(\"Output from multicriteria cost function:\", opt_deficit_1_1)\n", "weighted_cost_1_1 = investment_linear_combination(optimum_1_1, weight)\n", "print(\"Output from [1:1] weighted addition of the two cost measures:\", weighted_cost_1_1)" ] }, { "cell_type": "code", "execution_count": 92, "id": "8c35554b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Optimum with respect to 1:2 addition of the two cost measures:\n", "total investment\ti = GBP 935234.0\n", "production volume\tp = GBP 2505701.99 per year\n", "depreciation period\td = 15.17 years\n", "\n", "operating cost:\tGBP 173304.77 per year\n", "depreciation:\tGBP 61652.39 per year\n", "prod.cost:\tGBP 1879276.49 per year\n", "sales contrib.:\tGBP -1939775.92 per year\n", "==\n", "total deficit:\tGBP 174457.74 per year\n", "==\n", "\n", "Output from multicriteria cost function: [2114233.6580345, -1939775.9202451487]\n" ] } ], "source": [ "# do the same as above, for 1:2 weighting\n", "#\n", "initial_point = [1.1*min_investment, 7]\n", "weight = [1, 2]\n", "\n", "optimum_1_2 = investment_optimization_wrapper(initial_point, weight)\n", "\n", "print(\"Optimum with respect to 1:2 addition of the two cost measures:\")\n", "opt_deficit_1_2 = investment_mco(optimum_1_2, True)\n", "print(\"Output from multicriteria cost function:\", opt_deficit_1_2)" ] }, { "cell_type": "code", "execution_count": 218, "id": "e36134e7", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "m = 2 # number of parameters\n", "n = 2 # number of objectives\n", "\n", "# contains Pareto optimal parameterizations, in parameter space;\n", "# formatted such that it can be passed on to seaborn\n", "pareto_optimal_parameters = [[] for i in range(m)]\n", "linear_pareto_optimal_parameters = [[] for i in range(n)]\n", "hyperboxing_pareto_optimal_parameters = [[] for i in range(n)]\n", "profitable_pareto_optimal_parameters = [[] for i in range(n)]\n", "\n", "# contains the points on the Pareto front, in objective space;\n", "# formatted such that it can be passed on to seaborn\n", "pareto_optimal_compromises = [[] for i in range(n)]\n", "linear_pareto_optimal_compromises = [[] for i in range(n)]\n", "hyperboxing_pareto_optimal_compromises = [[] for i in range(n)]\n", "profitable_pareto_optimal_compromises = [[] for i in range(n)]\n", "\n", "# now we determine Pareto optimal solutions from a sequence of linear combinations for the two criteria\n", "#\n", "step = 0.001\n", "initial_point = [1.1*min_investment, 7]\n", "\n", "for w1 in np.arange(step, 1, step):\n", " weight = [1.0 - w1, w1]\n", " optimum = investment_optimization_wrapper(initial_point, weight)\n", " cost_measures = investment_mco(optimum, False)\n", " for i in range(m):\n", " pareto_optimal_parameters[i].append(optimum[i])\n", " linear_pareto_optimal_parameters[i].append(optimum[i])\n", " if sum(cost_measures) < 0:\n", " profitable_pareto_optimal_parameters[i].append(optimum[i])\n", " for i in range(n):\n", " pareto_optimal_compromises[i].append(cost_measures[i])\n", " linear_pareto_optimal_compromises[i].append(cost_measures[i])\n", " if sum(cost_measures) < 0:\n", " profitable_pareto_optimal_compromises[i].append(cost_measures[i])\n", "\n", "# next we apply hyperboxing to detect concave regions\n", "#\n", "for y0off in range(-2000000, 2000000, 10000):\n", " optimum = investment_hyperboxing_wrapper(initial_point, [y0off, 0])\n", " cost_measures = investment_mco(optimum, False)\n", " for i in range(m):\n", " pareto_optimal_parameters[i].append(optimum[i])\n", " hyperboxing_pareto_optimal_parameters[i].append(optimum[i])\n", " if sum(cost_measures) < 0:\n", " profitable_pareto_optimal_parameters[i].append(optimum[i])\n", " for i in range(n):\n", " pareto_optimal_compromises[i].append(cost_measures[i])\n", " hyperboxing_pareto_optimal_compromises[i].append(cost_measures[i])\n", " if sum(cost_measures) < 0:\n", " profitable_pareto_optimal_compromises[i].append(cost_measures[i])" ] }, { "cell_type": "code", "execution_count": 198, "id": "f393fcad", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 198, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# visualize the whole Pareto front\n", "#\n", "import seaborn as sbn\n", "import matplotlib.pyplot as plt\n", "\n", "fig, ax = plt.subplots()\n", "fig.set_size_inches(16, 11)\n", "plt.xticks(fontsize=18, color=\"#322300\")\n", "plt.yticks(fontsize=18, color=\"#322300\")\n", "ax.set_xlabel(\"cost measure y[0]: overall expenses\", fontsize=24, color=\"#322300\")\n", "ax.set_ylabel(\"cost measure y[1]: sales contribution\", fontsize=24, color=\"#322300\")\n", "\n", "# draw the points on the Pareto front jointly with a fifth-order regression\n", "#\n", "sbn.regplot(x=pareto_optimal_compromises[0], y=pareto_optimal_compromises[1], \\\n", " order = 5, scatter_kws={'s':7, 'color': '#ea7500'}, line_kws={\"color\": \"#c9211e\"})\n", "\n", "# for orientation purposes, now also show the tangent at 1:1 weighting\n", "#\n", "y0_tangent_at_1_1_weight = [opt_deficit_1_1[0] + offset for offset in range(-480000, 960001, 160000)]\n", "y1_tangent_at_1_1_weight = [opt_deficit_1_1[1] - offset for offset in range(-480000, 960001, 160000)]\n", "sbn.regplot(x=y0_tangent_at_1_1_weight, y=y1_tangent_at_1_1_weight, \\\n", " order = 1, scatter_kws={'s':0, 'color': '#005528'}, line_kws={\"color\": \"#005528\"})\n", "\n", "# now also include the tangent at 1:2 weighting\n", "y0_tangent_at_1_2_weight = [opt_deficit_1_2[0] + 2*offset for offset in range(-480000, 320001, 160000)]\n", "y1_tangent_at_1_2_weight = [opt_deficit_1_2[1] - offset for offset in range(-480000, 320001, 160000)]\n", "sbn.regplot(x=y0_tangent_at_1_2_weight, y=y1_tangent_at_1_2_weight, \\\n", " order = 1, scatter_kws={'s':0, 'color': '#002855'}, line_kws={\"color\": \"#002855\"})" ] }, { "cell_type": "code", "execution_count": 190, "id": "ed616b10", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 190, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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cClzfj30+JUmSJEkjQOXgmSZhe+CzFNuqdLH5vpgROB74TJqErwD/nuVxVTs6KkmSJEkamioFzzQJY4AbgEMoAud9wG+A+8uvpwLPB/YGTgUOSJPwwiyP69vZaUmSJEnS0FG14vlB4NnAKuCdwJwsj7GxUZqE44EvlW0/AJw3wH5KkiRJkoaoqosLvYliOO07sjxe3Sx0AmR5/BpFMA3AcQProiRJkiRpKKsaPGcA64Bv9KPtNWXbGRXvIUmSJEkaRqoGz4eBNVkeN/TVsGyzGnikhX5JkiRJkoaJqsHzJmDnNAlP7qthmoSnALsAN7bQL0mSJEnSMFE1eJ5LsbDQV9Mk7NJTozQJOwNfKdue03r3JEmSJElDXdVVbVdQbJPyReCfaRK+RFEFvb98fhrwAuDtwDjgFOCxNAn7NF4oy+OCVjstSZIkSRo6qgbPu+t+vzNwVh/tr+nheGzh3pIkSZKkIahq+Attum+7riNJkiRJ2sZVCp5ZHqvOCZUkSZIkjXAGSUmSJElSRxk8JUmSJEkdZfCUJEmSJHWUwVOSJEmS1FEGT0mSJElSRxk8JUmSJEkdZfCUJEmSJHWUwVOSJEmS1FEGT0mSJElSRxk8JUmSJEkdNbrVE9MkjAYSYCKwXW9tszz+utX7SJIkSZKGtsrBM03CTOB84BXA2H6cElu5jyRJkiRpeKgUCNMkJMDNwK5AoAiVS4A17e+aJEmSJGk4qFqJPAfYDbgPOB34fpbHDe3ulCRJkiRp+KgaPF9EUeU8NsvjbzvQH0mSJEnSMFN1VdudgNWGTkmSJElSf1UNnguArjQJoROdkSRJkiQNP1WD539TrGR7WAf6IkmSJEkahqoGzwuAPwNfLrdVkSRJkiSpV1UXF3odcCXwMeCvaRKuA/4APNrbSVke57TWPUmSJEnSUFc1eF5FsaptbY7n8eWvvhg8JUmSJGmEqho8f00RPCVJkiRJ6pdKwTPL46Ed6ockSZIkaZiquriQJEmSJEmVGDwlSZIkSR1VdY7nJmkSngAcAxwETCoPLwVuBa7L8njXwLsnSZIkSRrqKgfPNAnjgc8Db6FY3TY0NHktcF6ahK8A783yuLqFe+wHHAe8BNgXGAfcCVwLXJTlcWXZLgBvAo4CZgPTgGXAn4BPZHn8f/2836HAr3p4+kdZHo+q+hokSZIkSYVKwTNNQhfwP8BhFIHzfuBG4L6yyV7AocCewFuBmWkSXpblsepKuG8B3gl8H7gGWA+8EDgXeF2ahEPKQDsW+BpF0Pxv4G5gKvA24OY0CSdkefx6hfteBvym4dh9zRpq29fd3c28+YtYuGQ5UydPZNb0KXR1ObpckiRJ2tqqVjxPAl4MrAHeA3ylMVSWVci3UlRFX1yec0XF+1wHnJ/l8ZG6Y5emSZgH/AdwMnAJsAE4NMvjTQ19uBz4O/CZNAnfyPLY3c/73lwxqGob1d3dzfU33MIJZ1zC6jXrGD9uDHMuOI2jDz/Y8ClJkiRtZVU/gZ9AsY/nu7M8Xt6skpnlMWZ5vAx4N0VV9M1VO5XlcW5D6Kz5Vvn41LLdhsbQWR5fDNwETC5/9VuahB3SJIyr2GVtY+bNX7QpdAKsXrOOE864hHnzFw1yzyRJkqSRp2rwPIBi2OvV/Wh7ddn2gKqd6sVe5ePifrZdBzxc4fqfBx4DVqdJuCNNwnvKCq6GmIVLlm8KnTWr16xj4dLlg9QjSZIkaeSqGjzHA6uyPK7vq2GWx3XAyvKcAUuTMAo4k2J47Tf6aHskcDDwrSyPa/px+fUU80k/CLyCYo7ow8BF9DJMOIRwaghhbghh7tKlS/txG20tUydPZPy4MZsdGz9uDFMnTRykHkmSJEkjV9Xg+QCwS5qEpK+G5cq0E8pz2uEi4BDgzCyPt/dy31kUCw7dD/x7fy6c5fG3WR5fmeXxy1kef5Dl8cvlvX4KnJgm4XnNzosxXhZjnB1jnD1p0qRmTTRIZk2fwpwLTtsUPmtzPGdNnzLIPZMkSZJGnqqLC/2cYuGgL6dJeHlP1cRyjuSlFPNBbxhYFyFNwjnAacBlWR7P76XdTOAX5X2PyPLYchkyy2N3moTzgZcCRwL/1+q1tPV1dXVx9OEHc8B+F7Jw6XKmTnJVW0mSJGmwVA2enwSOp9gy5S9pEj5LsZ3K/RRbm0yn2PbkPRR7aq4BLhxIB9MknA18FLiSYghsT+1mUOzFuSNwWJbHvw7kvqV7ysfd23AtbWVdXV3sP3Ma+8+cNthdkSRJkka0SsEzy+NdaRJeB3wTSIAv9NA0UMzvPDbL412tdi5NwlnAWcAc4JSe9gNNkzCdInTuArw4y+MfW71ng1nlY38WM5IkSZIkNVF53GGWxx8CT6eoQK6gCJn1vx6hWJDn6WXblqRJOBM4m2K+5kk97cVZhs4bgYnAS7I8Zr1cc7s0CU9Mk7BPw/HdmrQdW94f4ActvARJkiRJEtWH2gJF5RM4GTg5TcITgNrKOksHUuGsSZPwTuBjwAKKeaVvTJPNdjVZnOXxhjQJO1FUOmcAFwP7p0nYv+FyN5T7egLsCdxGscfnoXVtfpIm4QEgo1gMaRpwHEXF8+Isj7cM9DVJkiRJ0kjVUvCsVwbNAYfNBs8sH/eh+Z6hN1EsWrQbMLM89q4ervVC+h4qex3wqvIaEyiGCf8ROCvL4zf722lJkiRJ0pZCbD5tUhXNnj07zp07d7C7IUmSJEmDIoSQxRhnN3uux4pn3TzI9VkeFzYcqyTL44JWzpMkSZIkDX29DbW9u3z8J/CUhmNVxD7uI0mSJEkaxnoLhLXVfLqaHKuilXMkSZIkScNEj8Ezy+MWW600OyZJkiRJUm8MkpIkSZKkjqoUPNMk7JMmYc8K7ae1uiCRJEmSJGl4qLrozz3AQqC/4fO3wN4t3EeSJEmSNEy0MtS26mJBLi4kSZIkSSNYp+d4bg9s6PA9JEmSJEnbsI4FzzQJCbA7sKhT95AkSZIkbft6nXuZJuGVwCsbDu+SJuGKXk4LwATgeeXXv2q5d5IkSZKkIa+vRX+eAZzYcGx8k2M9uRP4z0o9kiRJkiQNK30Fzxsbvj4LeAz4TC/ndAMrgL8DN2Z5dI6nJEmSJI1gIcbY78ZpErqBRVkep3WuS0PT7Nmz49y5cwe7G5IkSZI0KEIIWYxxdrPnqu6vORPYOPAuSZIkSZJGikrBM8vj/E51RJIkSZI0PFWteG4mTUIAJgI7UKxm21SWxwUDuY8kSZIkaehqKXimSXgN8A7gEGBcH81jq/eRJEmSJA19lQNhmoQvAafSS4WzQX/bSZIkSZKGoa4qjctK578BK4HjgV3LpxZRhNg9Kfb4vAN4EHhJlsdK95AkSZIkDS9VQ+EpFENnz8jyeE2Wx4drT2R57M7yuDDL4xwgBe4Cvpsm4Ylt660kSZIkacipGjwPKh+/3tt1sjyuBE6jWHTow611TZIkSZI0HFQNnhOAR7M8rqg7tg7YsbFhlsc/UAzJfWHLvZMkSZIkDXlVg+dStlzF9iFgfJqE3Zu0HwVMbqVjkiRJkqThoWrwvBfYLk3ClLpjfy4fX1rfME3Cv1CE1OWtd0+SJEmSNNRV3U7lRuBg4PnAteWx6yhC52fTJKwD/gQcAHyWYiGin7Wjo5IkSZKkoalqxfO7FPtynlB37CrgZmAS8N/APylC6T7AMuDMAfdSkiRJkjRkVQqeWR5vAXYCXld3bCPwEuBTwD3ABoo9PL8JHJLlcX67OitJkiRJGnpCjHGw+zAszJ49O86dO3ewuyFJkiRJgyKEkMUYZzd7rupQW0mSJEmSKjF4SpIkSZI6qsdVbcvtUABWZXmc23CskiyPv27lPEmSJEnS0Nfbdio3UmyHcjvw5IZjVcQ+7iNJkiRJGsZ6C4QLKELjA02OSZIkSZLULz0GzyyPM/pzTJIkSZKk3ri4kCRJkiSpowyekiRJkqSOqrToT5qEXYGjgOVZHn/QR9tXABOA72d5fLjVDkqSJEmShraqFc8TgCuBg/rR9l/KtsdV7ZQkSZIkafioGjxfXT5e24+2VwMBOLriPSRJkiRJw0jV4Lkv0A3c0Y+2/yzbJlU7JUmSJEkaPqoGz92BFVkeN/TVMMvjeuARYHIrHZMkSZIkDQ9Vg+dyYJc0CTv31TBNwi7ALhThU5IkSZI0QlUNnhnFvM3j+9H2+PL6f6p4D0mSJEnSMFI1eH6NInh+Mk3C4T01SpPwEuACIJbnSJIkSZJGqEr7eGZ5/FaahFOAw4D/TZPwE+B/gQVlk+nAkcBLKELtjVkev161U2kS9qPYhuUlFAsajQPupFhN96Isjysb2u8PfBJ4ATAGuBU4K8vjLyvccxfgXIpVeHcr73cJcGmWx1j1NUiSJEmSCpWCZ+k1wDcoAuaRwBENz4fy8X+BN7bYr7cA7wS+D1wDrAdeSBEMX5cm4ZAsj6sB0iTsC/wO2ABcSDGn9K3AT9MkHJHl8ed93SxNwhjgBuBA4GLgtvJ1fRHYAzi7xdchSZIkSSNe5eCZ5XEFcFSahCOAE4BDKMIZwGLg98CcLI//O4B+XQecn+WxfmGiS9MkzAP+AziZohoJcD4wAUizPP4JIE3CHODvwBfSJDyxHxXLU4BnAu/O8nhxeezyNAnfAT6SJuHKLI/zB/B6JEmSJGnEaqXiCUAZLAcSLnu79twenvoWRfB8KkCahB2AV1AM6f1T3fmPpUn4CvBxikB5Sx+3fCOwCri84fhFFENvX09RTZUkSZIkVVR1caHBtlf5uLh8fBowFri5Sdvfl4/P7O2CaRK6gIOAP2Z5XNPw9C1Ad1/X0Laru7ub2+9+gBv/39+5/e4H6O7uHuwuSZIkSSNOyxXPNAmjgRTYG9g+y+OctvWq+f1GAWdSzOX8Rnl4Wvl4f5NTasf27OPSE4Hxza6R5XFtmoQHe7pGCOFU4FSAffbZp4/baGvr7u7m+htu4YQzLmH1mnWMHzeGORecxtGHH0xX11D7mYskSZI0dLX06TtNwoeARRSL+nwLuLLh+QlpEv6eJiFPk7D7wLsJFMNeDwHOzPJ4e3ls+/JxbZP2axra9KS3a9Su0/QaMcbLYoyzY4yzJ02a1MdttLXNm79oU+gEWL1mHSeccQnz5i8a5J5JkiRJI0vl4Jkm4RrgPIpK4V0UFcjNZHl8GLgRmAm8ekA9LO55DnAacFmWx/PrnlpVPo5tctq4hjY96e0atev0dQ1tgxYuWb4pdNasXrOOhUuXD1KPJEmSpJGpUvBMk/AG4FhgIfDsLI+zgId6aP4Niq1VXjmQDqZJOBv4KEVV9W0NTz9QPjYbCls71mwYbr3lwOpm10iTMJZiT8++rqFt0NTJExk/bsxmx8aPG8PUSRMHqUeSJEnSyFS14nkyEIH3ZHnsa6XYuRQL8zytlY4BpEk4CzgLmAOc0mRblL9SDJF9dpPTD6nrR4+yPHYDtwIHlkGz3sEUf0a9XkPbplnTpzDngtM2hc/aHM9Z06cMcs8kSZKkkaXq4kIHUoTJH/TVsFyY5xGgpcmPaRLOBM4GvgacVAbExns8libhB8DRaRKenuXxz+W5O1LszTmPuq1U0iRsB+wLrMryuKDuUt8EnkuxUNDFdcdPpxhK/O1WXoMGV1dXF0cffjAH7HchC5cuZ+qkicyaPsWFhSRJkqStrGrw3BFYmeVxXZ8tC2OBjRXvQZqEdwIfAxYAPwfemCahvsniLI83lL//MHAY8LM0CZ8DVgBvpRg6+/KGKumewG3ATcChdccvB04CPpsmYUbZ5kiK+annZnm8u+pr0Lahq6uL/WdOY/+Z0/puLEmSJKkjqgbPpcC0NAk7Z3lc0VvDNAlPoVgN9o4W+lXbN3Mf4Oomz98E3ACQ5TFPk/Bc4ALgDGAMxdDZl2V5/Hl/bpblcV2ahBcD51LMYd0NuBN4F/CFFvovSZIkSSpVDZ6/BV4LvAG4rI+2Z1LMB/1V1U5leTwROLFC+9voxyJGWR7voVjwqNlzD1OsnHtaf+8rSZIkSepb1cluF1MEt4+nSUibNUiTMDFNwlcoAmoELhlYFyVJkiRJQ1ml4Jnl8bfAp4DJwO/SJPwC2BkgTcKn0yT8GLiPYr4kwJlZHv/exv5KkiRJkoaYyst7Znn8EPBeim1MXgiMp6iCvhd4Wfn1KuDdWR7Pa19XJUmSJElDUdU5ngBkefx8moSrgNcAzwGmUoTYxcDNwLVZHh9qVyclSZIkSUNXpeCZJuEV5W9/l+VxGXBF+UuSJEmSpKaqVjy/B2wAdm1/VyRJkiRJw1HV4PkQQJbHxzrQF0mSJEnSMFR1caG/A7ukSdi5E52RJEmSJA0/VYPnZcAo4F0d6IskSZIkaRiquo/nNcDFwMfSJJyTJsG5npIkSZKkXlVd1faX5W9XAR8BPpQmIQeWAht7OC1meTys9S5KkiRJkoayqosLHdrk/CeWv3oSK95DkiRJkjSMVA2eJ3WkF5IkSZKkYatS8MzyeHWnOiJJkiRJGp6qrmorSZIkSVIlVYfabiFNwmhgYvnl8iyPGwZ6TUmSJEnS8NFS8EyTsAvwTuAY4KkUe3sCbEyT8Dfg28CXsjw+0pZeSpIkSZKGrMpDbdMkPA+4DTgHeAZFeA3lr9HlsU8At6VJeG67OipJkiRJGpoqBc80CbOAnwBTgIeA84CXUlQ9DwBeUh5bVrb5SXmOJEmSJGmEqjrU9mPA9kAGvCzL44MNz/8d+HmahM8CPwVS4CzguIF2VJIkSZI0NFUdansYEIGTm4TOTbI8PgScXH754hb7JkmSJEkaBqoGz52AFVke/9JXw7LNivIcSZIkSdIIVTV4zgfGpUkY1VfDss1YYEErHZMkSZIkDQ9Vg+e3gTHAG/rR9g0UwfO/q3ZKkiRJkjR8VA2e5wG3AJemSegxfKZJeD1wKXAzcH7r3ZMkSZIkDXVVV7X9EPBL4InANWkSzgNuAu4vn58GvACYATwC3AickSZhiwtlefx4Sz2WJEmSJA0pVYPn2RSr2taS5IzyVyy/rk+YE4AzmlwjlO0NnpIkSZI0AlQNnnN4PGRKkiRJktSnSsEzy+OJHeqHJEmSJGmYqrq4kCRJkiRJlVQdaisNOd3d3cybv4iFS5YzdfJEZk2fQleXP3ORJEmStpaWgmeahJnAe4HDgb2BcVkeR9c9PwF4N8V80POyPG4ceFel6rq7u7n+hls44YxLWL1mHePHjWHOBadx9OEHGz4lSZKkraTyJ+80Ca8G/gK8E9gf2J7NV7Mly+PDwAspVsF98UA7KbVq3vxFm0InwOo16zjhjEuYN3/RIPdMkiRJGjkqBc80CU8ErgF2AC4Fng8s66H5ZRSB9DUD6aA0EAuXLN8UOmtWr1nHwqXLB6lHkiRJ0shTdajtB4BxwKezPH4QIE1CT8Nof14+PrfFvkkDNnXyRMaPG7NZ+Bw/bgxTJ00cxF5JkiRJI0vVobaHUczb/FRfDbM8LgUeo5gDKg2KWdOnMOeC0xg/bgzApjmes6ZPGeSeSZIkSSNH1YrnFODRMlT2x3qKYbnSoOjq6uLoww/mgP0uZOHS5Uyd5Kq2kiRJ0tZWNXiuBHZOkzA6y+OG3hqmSZgITAAWt9g3qS26urrYf+Y09p85bbC7IkmSJI1IVcs+fy/PObgfbY+nWFwoq9opSZIkSdLwUTV4fpsiTJ6bJqHHammahBcA51HMB72m9e5JkiRJkoa6qkNtvwycArwA+E2ahC8C2wGkSXgK8BTgaIotVEYB/wd8q229lSRJkiQNOZWCZ5bH9WkSXgZ8H3gWmw+5/Uvd7wPwe+DoLI9xwL2UJEmSJA1ZlZf2zPK4CHgOcCrwO4qVa0P5qxu4BXg78C9ZHpe1r6uSJEmSpKGo6lBbAMoVbb8CfCVNwihgV4oQ+2Bfq91KkiRJkkaWloJnvSyPG4H+7uspSZIkSRphBhw8OyFNwoeBg4AUmAnMz/I4o4e2fc0h/WiWx0/0cb9DgV/18PSPsjwe1cc9JEmSJEk96G1LlBPadZMsj3MqnnIe8BBwKzChj7bH93D8bGBf4AcV7nsZ8JuGY/dVOF+SJEmS1KC3iudVFPtwtkPV4Llvlse7ANIk/A3YsaeGWR6/3ngsTcJeFJXSuVke/7LlWT26udn1JEmSJEmt6y14/pqeg+czgF3K398L3E+xqu1UYJ/y+CPAn1rpVC10DsBJFIsdfaXqiWkSdgA2ZnlcM8A+SJIkSZLoJXhmeTy02fE0CZ8GXgB8FTgvy+PdDc/PAD4MvJWi4viBdnW2P9IkBIrguQr4ZsXTPw9cWV5nHvAF4L/ci1SSJEmSWldpcaE0CccB7wU+meXxw83aZHm8B/i3NAkPAh9Kk/DHLI/fGHBP++9FFMNsr8ryuKKf56wHvg/8GHgAmAacDFxEUd09qdlJIYRTKfYzZZ999mnWRJIkSZJGvKqr2r4T6AbO70fbC4APlOdszeB5Svn41f6ekOXxt8Ar64+lSbicIoiemCbhq1ke/6/xvBjjZRQLEjF79myropIkSZLURFfF9k8GVvSnkli2WQE8pZWOtSJNwkTg1cA/mwXFKrI81gfsIwfaN0mSJEkaqaoGzwjskiZhcl8NyzYTWunUABwHjKVCtbMP95SPu7fpepIkSZI04lQNnrdSrF57YT/aXli2nVu1UwNwMsV8zarbt/RkVvm4uE3XkyRJkqQRp+oczwuBQ4Hj0yTsCXwS+G2Wx9UAaRLGAc8DPggcRlEh7U9IHbA0CbOBpwPXZ3lc0kOb7YB9gVVZHhfUHd8ty+ODDW3HAmeXX/6gI52WJEmSpBGgUvDM8viTNAkfolg46EXlr+40CY+UTXahqKIGitD5oSyPP6vaqTQJxwPTyy8nAWPSJHy0/Hp+lsevNTnt5PKxt7079wRuA26iCNA1P0mT8ACQ8fiqtsdRVDwvzvJ4S9XXIEmSJEkqVK14kuXxU2kSbgY+RhHeRgG71jWJwC+As8vVYltxMsVeofXOKR9vAjYLnmkSxgPHAvcBP23hftcBrwLeRTEvdSXwR+CsLI9V9wKVJEmSJNUJMba+C0i5iuyBFFVJgKXAH7M8Lm9D34aU2bNnx7lzt+Z0VlXR3d3NvPmLWLhkOVMnT2TW9Cl0dVWd4ixJkiRtXRs2bOD2u+9n5ep1xBhZtWYdy5Y/yvQ9d+egJ81k9OjKtcSOCSFkMcbZzZ4bUC/LgPnLgVxD6rTu7m6uv+EWTjjjElavWcf4cWOYc8FpHH34wYZPSZIkbRM2bNjAP+68j9Vr1m06Nm7MaO5f/DBr1q2nO0aWr3iM95x31abPtF8882SO+9fnb1PhsycDqnjqcVY8t1233/0ABx79wc2+icePG8Mfr7+Q/WdOG8SeSZIkaSTp7u7mzgWLWb7iMYoYVmSxcWNGc9e9S9nYkM0m7rwDGzZu5OFHVwJw0ke+tMVn2pvmnM0zD0i20ivoXccqntJQsHDJ8s2+QQFWr1nHwqXLDZ6SJEnqiMYK5uhRXdx9/zIeWbmaXXYYv1nbiTvvwLqNG7a4xj0PLGXcmO1Ys3Y9QNPPtPctfnCbCZ69MXhq2Js6eSLjx43Z4qdDUydNHMReSZIkaTjYsGEDf71jAatXr2fU6C4gNq1g7jB+LH+5Yz5PSfZiY/fGza5xzwNLa8XPzey4/Tgm7rzDpopns8+0e+2xW0deV7sZPDXszZo+hTkXnLbFHM9Z06cMdtckSZI0RPQUMP9x5wOsWrd+sypmswrmA0uX090deWzl2i2uveP24whhy3te/PUf88FTXs3oUaPojpHPf+TELeZ4HvikGW1+pZ3hHM82cY7ntm3TqrZLlzN1kqvaSpIkqbnaENlHH1tDJLDd6C7GjRnVY8C8ae4/eEqy12bXeGzV2i0qmDtuP45/3HnfFm2hCJjvOeGoLY4vX/EYc753I2e/8/XsuMM4oG5V22m7c9CTh86qtgbPNjF4SpIkSUNHd3c3d9+7hIdWPMradRuBwE7bj+Gue5ewcs1a1m7YuClk9hYw775vCTP3nLzZ8WYVzAULlzF27Bi2Hz92izmetYD5kVNfw4Sdt6er6/GTt+Wg2cjFhSRJkiSNSLWAuWT5I3RvhNHlMNnFDz7KuvXrWbN23aaQubYcInvH/IWbzcW854GlTYfJ7rj9OEZ1dbHTDuM2O96sgjll9wksf3QVDz38KNN2m7BZwNx7yq58/N1vYNnyR9lt4o7bfMBsxfB6NZIkSZJGpN4C5orHVm4Kl2vWrmOnHYtHYLOQWVvkpzFk9hYw/+31L+HR1Ws3q2Ke8KpD+fycH25RwVy/oZuVq9eydt06Ju68A/vNnDZipn8ZPCVJkiQNKc0W+uktYNaHyzvmL2T6tEmb5mDWh8zaENnGkNlbwPzyt37Gv5/0CibstAPjx20HjIwKZlUj+9VLkiRJ2mY1LvQTAowbM5o77lnEqnXr+h0w68Nld3dkx/GPz8GsD5m1IbKzpk/ZLGT2J2BuP36MAbMXlf9U0iTcVf42Znncd6DtJEmSJI1s9RXMGIAI48aOZsEDyzYt9DN29CjWbtjIjKm7c9vd91UKmPXhclRXF/cuWsbECTuxyw7jNwuZ9UNkd9h+HF1dge1GjzJgtkErf1ozyse+lsPtbztJkiRJI0DjPEwaKpi1cDl29Cj22G2XzRb6+XtehM3GhX76EzDrw+Ws6VNY/ugqVpVzLQ+YNR2Keip7T9nNIbId0sqf4tVtbidJkiRpmGmsYo4e1cXiB1dsmofZrIJZC5d/z+9j7foNm1Uxa4+NC/30K2COCjxx5p6MHjWKsduNYv2GbtZv2MjGjRtZ8dgq9t17D/abMXXELPQzGCoHzyyPJ7WznSRJkqShq7u7mzsXLGb5isdYv6F70zDZO+5ZyKp16zcFzD123ZnVa9f0WsGsf2ysYtYeGxf66W/AXL1mnQFzEFk3liRJktSnZsNkifDA0uWsWLV6i2Gyt919/2YB85a/3sn0qbv3WsGsf7zkms0X+qk9Nlvox4C57TN4SpIkSdpMYxWz2TDZ5Y+uYp+pu/HXefObDpPdsorZvUW4bKxg1ofM8ePGbLHQTwgBIpzznmPLhX7GctCTZzgPcwjwHZIkSZJGqFrAXLp8BQHojsVczAULH9ysitlsmCzA9uPG9DhMtjFgfuvHv2XGXpP7rGBuN3oUEJi51x4c9OSZrFm7nsm77sR+M6dZwRzCegyeaRLO7NA9H8vy+NkOXVuSJElSg2YBszZMdtGDD7P9+LGbhczGKmazYbJA04BZGybbWMX84Cmv5JOXfZf3nPBynpLsxXajR1vBHEF6e0fPpjNboSwGDJ6SJElSBzSGzK6uooJZHzDrh8kCW4TM/gyTBbh30TJ233XnpsNkm1UxLz/nbSxb/ig7jB9nwBxh+nqn1wDfbuP93tzGa0mVdHd3M2/+IhYuWc7UyROZNX2KwzUkSdKQVr/gz9q1Gxiz3WjuX7J5FXOnHcdvETDh8WGywBYhsz/DZJc/umpTPx56+FGeuu/em+Zi1g+TnbL7Lg6TVZ/B85F2bouSJsHgqUHR3d3N9TfcwglnXMLqNesYP24Mcy44jaMPP9h/BCVJ0pBQ2xdzxaOr2W670Ywa1cXiBx9hxWOrNoXAZlXM6dMmbREw4fFhssAWIfNdxx/Z5zDZmSGwfv0GQghs2LiRNevWM3m3nV1NVk1Z29aIMG/+ok2hE2D1mnWccMYlHLDfhew/c9og906SJOlxjSvKrl+/ge3HjeHOexez7JHHNlUyx48dw4bujdwxf+Gmc5tVMZsFTHh8mCywRci88Cv/wynHHMbT95/BjjuMIzhMVgPU29+W9wIr23y/TlxT6tPCJcs3hc6a1WvWsXDpcoOnJEkaFPVzMTds6Ga70V10dXUxf+EyHl21ZtNcTIAnzpjKbXffD9QPlw2bFvypaRYymwXM+mGya9auY+89dm06F3PXCTsaMtUWPf4NyvL4+XbfrBPXlPpj6uSJjB83ZrPwOX7cGKZOmjiIvZIkSSNF/TBZQmDMdqO4b3ExFxPYrIr5t3kLNpuLCc0rmRA3q2BC8ypmLWTWB8yZe05m/YaNmw2TnTJpgsNk1TH+6EIjwqzpU5hzwWlbzPGcNX3KYHdNkiQNM40L/tQPk62pn4sJm1cxG7csgeaVzG/88DebFvypr2BC85C5YeNG1q7fYMDUoDB4akTo6uri6MMP5oD9LmTh0uVMneSqtpIkaeCaVTKXLn90swV/6ofJ1tRXMGHzKmbjliXApn0xlz+6alMl8+RjDtu04M9Tk70A6ApdhBBYv2GDVUxtUzoWPNMkBGBvgCyPCzp1H6m/urq62H/mNOd0SpKkyhrnYwKMHzuafMHmlcxpu0/odcGfmvoKJmxexaxfUbYWXl9+6OxN+2JuP34sO44bt9mWJVN3n+CWJdqmdbLiuStwD9Dd4ftIkiRJbdNs0Z/6+Zg1zSqZSx9a0euCPzX1czGBzaqYF3/tx5tWlK2fi/nMp+7LmnXr2Wfq7lYxNeRsjUAYtsI9JEmSpMrqQ2aATavKLn7wkU1tGudj1jSrZDZb8Kd+mGyjNWvXMWufKU2rmDP23N0qpoYNK5GSJEka9poNld1udBf3Ln6IxQ8+ssWqsvWaB8zmlcxmC/40DpMdO3o0oTyvNhfTKqaGu16DZ5qE/QZw7QkDOFeSJElqSX+Hyk7bfcKmkNm4qmy9ZgETmlcye1rwx2GyGun6qnj+E9jyxzuSJEnSNqBZyKxVMWt6Giq79KEVTffG7Gs+Zk1PlcxayJw6aaIhUyr1Z6itczQlSZI06Br3xxyz3WjuW7J5yKyvYtb0NFS2PmQ2riobwpYfgevnYzaGTCuZUu/6Cp4PUqxOeyrw84rX3hXIWumUJEmSRrZmlczG/TGbhcz6KmZNT0Nl60Nms1Vln/iEPZmw4/bOx5TaoK/g+QfgpcCeWR63HJ/QizQJj/XdSpIkSSNdf4bLNtsfs1nIrDJUtj5k7jNlNyZN2HmzVWX3mz7FVWWlNukreM4FXgY8cyv0Req47u5u5s1fxMIly5k6eSKzpk/xPxNJkrai/obMZpXMxv0xm4XMVofK7rv3HlYxpQ7qT8UTYHanOyJ1Wnd3N9ffcAsnnHEJq9esY/y4Mcy54DSOPvxg/5ORJKkDBhIy+7M/ZrOQ6VBZadsUYux50do0CTsCh5Vffj/Le2k8ws2ePTvOnTt3sLuhXtx+9wMcePQHWb1m3aZj48eN4Y/XX8j+M6cNYs8kSRr6+hsy/3xH4+ytQHd39xbXa1bJ/NCpr2bcdqM3zfFcuWoNX73uF1uEzFrAtIopbV0hhCzG2LRo2WvFM8vjY8D/dKRX0la2cMnyzUInwOo161i4dLnBU5KkCtpdyezPcNm+9sc0ZErbtv5spyINC1MnT2T8uDFbVDynTpo4iL2SJGnbVR8wV69ZR3eMTN5tZ+64exGLHnx4U7tOhMxmw2XdH1Maunodaqv+c6jtts85npIk9a4+aAbYVMWsDWl91/FHsuekiQMaLtsYMh0uKw0fvQ21NXi2icFzaNi0qu3S5Uyd5Kq2kqSRq6/hsvXzMT99xQ9475tfzqhRXRgyJfWkpTmeaRKuAB7O8vi+dnWkE9eUqujq6mL/mdOc0ylJGlEah8yOHjWKpcsfZeGy5ZvaNA6XrR8qu3rNOkII5dftGS5ryJRGlt7meJ4ILALaGRI7cU1JkiTV6WvI7AXvexN/aRguu+WczMcD5vhxY4CiqmnIlNSKbXJxoTQJHwYOAlJgJjA/y+OMHtqeDZzVw6U+kOXx0/285y7AucDRwG7AncAlwKVuIyNJkrZF/Vn8p76SWRsy++c7FvS58E99wDzzHcdsmuNpyJTUir6C565pEn65VXqyufOAh4BbgQn9POe9wLKGY1l/TkyTMAa4ATgQuBi4DTgC+CKwB3B2P/sgSZLUMf1Z/GfFo6v467zHq5nNh8x29zlctj5gPukJe/LFM0+BENhtlx159jP2Y+WqNTzBkCmpn/oKnmOAQ7dCPxrtm+XxLoA0CX8DduzHOd/L8nhPi/c7BXgm8O4sjxeXxy5Pk/Ad4CNpEq7M8ti4fJskSVLHNC7+A7Bo2XIWP7QCaF7JXLZ8BcuWP9rnkNlv/fi3/RouaxVTUrv0FjxP6tA9V/fVoBY6q0qTsDOwKsvjhoqnvhFYBVzecPwiiqG3rwcubKVPkiRJfamFzAeWLmfd+g1bDJdduWoNq9as3eyc/i7+02zI7Fte8yKHy0raqnoMnlker96aHWmDvwA7ARvTJNwCnJPl8X/7OilNQhfFfNJbszyuaXj6FqCbohqqYWLTlipLljN1sluqSJK2vmZDZu+6d3GPw2U/fcUPeN+JRzVcpX+L//Q0ZPawQw5g1eq1/l8oaavYJhcXquhh4DLgd8ByYH/gdOBHaRLekuXxqj7OnwiMB+5vfCLL49o0CQ8CezY7MYRwKnAqwD777NNa77VVdXd3c/0Nt3DCGZewes06xo8bw5wLTuPoww/2P1xJUkf0d8hsb8NlV69ZB9Dy4j9WMiUNtkrBM03C7CyPcyuec3qWx4sq9aqCZtcu9wv9G/C5NAnXZXl8rJdLbF8+ru3h+TV1bTYTY7yMIvQye/ZsV74dAubNX7QpdELxH/kJZ1zCAftd6N6ekqQB6ytk9jZktrfhsuPHjeHq793EB05+hYv/SBqSqlY8f5sm4VzgE1keu3trmCZhT2AOxeJEF7XUuxZleXwwTcKlFKvRPgf4WS/NV5WPY3t4flxdGw1xC5cs3xQ6a1avWcfCpcsNnpKkyurnZhJh6fJHWbhsOdA8ZPY2ZLa34bJnvuMYPv7F6/jUV7/Pu48/gtlPeQKjukZZyZQ0ZFQNnttRhLkj0iQcn+XxzmaN0iS8kWIPzAlAb9XGTrqnfNy9j3bLKRY82mI4bZqEsRR7et7U1p5p0EydPJHx48ZsFj7HjxvD1EkTB7FXkqShoKcFgO68dxFfve4XXPC+N/GXO3qfl9nbkNm+hsv+4IsfMmRKGrKqBs83AV8ADgH+lCbhfVkeN60EmyZhAnAp8FogAL8Hjm9PVyubVT4u7q1RlsfuNAm3AgemSRib5bH+R5MHA11ApeHF2nbNmj6FORectsUcz1nTpwx21yRJ25C+Qmb9AkC1uZl/vmNBn/My+xoye+7px7LD+LFMmzTB4bKShpVKwTPL4zfTJPwauBp4EXBpmoR/pdgH8+nAFcA0YAPwceD8vobkDkSahNHADlkeH2k4vjfwduBBikWHase3A/al2HJlQd0p3wSeS7FQ0MV1x0+neC3f7kT/tfV1dXVx9OEHc8B+F7Jw6XKmTnIlP0lS8yGz+YKFPYbM+gWAHp+b2d1nyHTIrKSRqvKqtlke7wdenCbhdOA84OXA7RRbmXQBtwHHZXn8Y6udSpNwPDC9/HISMCZNwkfLr+dnefxa+fsdgbvTJHyvvG9tVdtTyueOzfJYv2/onmW7myjmntZcTrFv6WfTJMwo2xwJvBo4N8vj3a2+Fm17urq62H/mNOd0StII1d8hs72HzMcXAKrNzfzWj3/br3mZDpmVNBK1vJ1KlseL0iQ8BFwF7EwxtPavwLOa7IdZ1cnACxqOnVM+3gTUgudq4DvAs4BXUYTNZcDPgQuzPN7Sn5tleVyXJuHFwLnAsRTzOu8E3kUxtFiSJA1RVauZtSGzvYXM+gWAanMz3/KaFzkvU5J6EGKsvgtImoQAfAQ4k2LBoVUUW45EitB3UpbHB9rYz23e7Nmz49y5TgWVJGkw1W9nsnrNOkaPGrVZ0LzgfW/iz3XVzFGjuoBimOwnLr2e/3jb0UARLD91xfd534lHbRYyV61euymw1n5/yjGHMWOvyewwfiyTd92ZVavXMXWyUzkkjTwhhCzGOLvZc5UrnmkSZgJfp1hgKADfAE4D3gB8Cjgc+GuahLdneXRupCRJ6pjGfTNre2auXLWm6bDZ/lQza0Nme1pl1gWAJKm6SsEzTcJbgM9RzOd8GHhHlsf/Lp++NE3CLyiGwR4MfDNNwiuAdzYu/iMNtu7ububNX8TCJcv9qbQkDSG9Bc36PTN7DprdlYbMGjIlqT2qVjy/Uj7+Cnhzlsf76p/M8jgvTcJzgf+kGIp7LPB8Hl8oSBp03d3dXH/DLVtsqXL04Qf7IUKStjFVgmb9npk9Bc3+VjOv+dS7HTIrSW1UNXiuBT6S5fFzPTXI8rgRODtNwo8pqp/JAPontd28+Ys2hU4oPpyccMYlHLDfha50K0mDpHGl2d0m7Miateu5b9GD/Q6a8PiemT0FTauZkjQ4qgbPg7M8/rU/DbM83pIm4RnAZyr3SuqghUuWb/qAUrN6zToWLl1u8JSkraSvlWZXrV5bOWjW75nZW9C0milJW1+l4Nnf0FnXfjXwjko9kjps6uSJjB83ZrPwOX7cGKZOmjiIvZKk4as2r37ZQ4+y/fjtWF1WMu+6b0mP+2a2EjTr98x81tMSnvnUfemOkcMOOYBVq9caNCVpELW8j6c0VM2aPoU5F5y2xRzPWdOnDHbXJGlYqA+aO+04lj//cwEf/+K1W1Qye1tptpWg6Z6ZkrTtMnhqxOnq6uLoww/mgP0uZOHS5Uyd5E/AJWkgGofN3rv4QT52ybd51/FHsuekifzb2Zc1rWT2ttKsQVOShheDp0akrq4u9p85zTmdklRRf4bNnnrmlzcFzWXLH+2xktnbSrMGTUkaXgyekiSpV7Ww+fCKlcxbsGhTNbOnYbP1QRNij5VMV5qVpJHD4KkRq/ZBauGS5S44IUl1eho621jN7GnYbH3Q/MYPf8N/vv01XPGdXzatZF7ynyfT1dXlAkCSNMwZPDUidXd3c/0Nt2yxwNDRhx/shx1JI0qVobON1cyehs3WB82TjzmMr173C153xHNYu249zzvoifzvZR9m5aq1VjIlaQQxeGpEmjd/0abQCcVP6k844xIO2O9C531KGtZ6Wwio76Gz3f0aNnvFd365WdB89jNmGTQlaYSrFDzTJFwPROD9WR7v7kyXpM5buGT5Zvt4QhE+Fy5dbvCUNOzUwubS5St6XQior6GzjdVMh81KkvqrasXzKGB9lsfXdKIz0tYydfJExo8bs1n4HD9uDFMnTRzEXknSwPU2dLavhYD6GjrbrJrpsFlJUn9UDZ6LgJ070RFpa5o1fQpzLjhtizmes6ZPGeyuSVK/NQuZ8+Yv5Nwvfafp0Nm+FgLqa+js6NGjuOzj/wbAtMm7Ws2UJPVb1eD5K+C4NAlPyvJ4Wyc6JG0NXV1dHH34wRyw34UsXLqcqZMcDiZpaOhra5NaNbPZ0FnofSEgh85KkjqlavC8AHgNcEmahCOzPK7tQJ+kraKrq4v9Z05zTqekbVZvFc2e5mf2NnS2PwsBOXRWktQJVYPnSuBtwBeBv6VJuAS4GVgKbOzppCyPC1ruodRB7uUpaVvT34pmT/Mzexs6azVTkjRYqgbP+pVsnwB8th/nxBbuI3Wce3lKGmwDq2g2n5/Z29DZ7178fjZs7GZfq5mSpK2saiAMLdyjlXOkjnMvT0mDoX5rk2YLAfW3otnT/MwvfvNnnHT0ocyYujt7TdmNZz9jP1auWuPQWUnSoKoUPLM8+r+Vhg338pS0NTRWNfMFi7nz3sU9LgTU34qm8zMlSUOJQ2A1YrmXp6R2qw+ZY8aMKr5esJiPXfJt3vKaF7F6bfHvTW8LAfW3ovmUfffimk+9x/mZkqQhweCpEcu9PCW1Q7Ohs7VqZP08zXO+9J0ttjaxoilJGilaDp5pEg4CDgf2BsZneTy57rkxwBQgZnm8d8C9VGUPP/wwf8kXsnDJQ0zbY1cO2HcqEyZMGOxubVPcy1NSK/ozdPacL31ni3mazbY2saIpSRopKgfPNAmTgDnAS8pDgWLl2pPrmnVRbLOyR5qEJ2d5vGOgHVX/Pfzww1z/i1s57dwrNlXyLvnoWzj6sIMMnw26uro2VTgXLlkO4Ic7SZu0OnS22TzNZlubuBCQJGmkqPQ/WpqE7YGfAy8FFgJXUOztuZksj2uAL5XXP2bg3VQVf8kXbgqdUAzpOu3cK/hLvnCQe7btqW2pcuDRH+SFJ36MA4/+INffcAvd3d2D3TVJg6S7u5t59yzkd3+8na99/9cc9bbz+XX2D974/s9z36KHOPXML/O6I57DOV/6Dt3dsen8zMZ5mrXHBx9+lE999fuMGtXFdy9+P5ee/Vbe+PLncdQLUw56yhN4wTOfzJEvOIgnPmFPQ6ckaVipWvE8DTgA+D1wRJbHR9IkHAVs36Tt9cDHgSOA8wbUS1WycMlDzVdrLSt6epxbqkjqxNDZZvM0R48exY8uPQOAaZN3dXSFJGlEqRo8X0cxrPY9WR4f6aPtbcB6YP9WOqbWTdtj1+artU52tdZGbqkijTyNQfNv8+7l41+8rq1DZ2vzM9ev38iLn30AK1c5T1OSNLJVDZ77AeuAuX01zPIY0ySsACa00C8NwAH7TuWSj75lizmeT0umDnbXtjluqSKNDLWw+fCKlcxbsGizOZr1Vc2eVp1ttsXJf779NZzzpe/wqa9+n3cffwTfvfj9bNjYzb7Oz5QkaQtVg+coYGOWx9hXwzQJo4CdaDIHVJ01YcIEjj7sIJLpU1m4ZDlTJ0/kaYmr2jbjlirS8NRTVbPZ9iYOnZUkqfOqBs97gVlpEvbK8nhfH20PBcYAf22lYxqYCRMm8C+zJwx2N7Z5XV1dvOqw2dw052zuW/Qge03ZnQOfNN0Pj9IQ09fw2VpVs9kcTYfOSpLUeVWD5w3ALODtwH/01ChNwnjgQor5oD9uuXdSh3V3d/O9X8zdouJ59OEH+2FS2sZVGT7b2xxNh85KktR5VYPnpyn26/xAmoTFwJfrn0yT0EWxv+cnKVa/fRi4eODdlDrDVW2loWMgw2d7m6NZX9W88eqzWbXaaqYkSe1WKXhmeZyfJuE44JvA5yi2SRkDkCZhLkU1dEcgAGuBY7M8Lmtrj6U2clVbadvVzuGzztGUJGlwVa14kuXx+jQJz6MIns+pe+qgut//HnhXlsdsgP2TOspVbaVtR3+DZivDZxvnalrVlCRp66ocPAGyPP4BeF6ahCdQhM+pQBewGLg5y+Pt7eui1Dm1VW0//NlreN0Rz2HUqFE8/6D92XfvyYPdNWnYazVoOnxWkqShp6XgWZPl8S7grjb1RdrqaqvartuwgVM+eqkLDEkd1t3dzZ0LFrN0+QrmzV/IuV/6TuWg6fBZSZKGnkrBM03CmcBjWR4/28/27wYmZHn8eCudk7aGO+9dsil0ggsMSe3UWNXMFyzmznsXs2rN2paDpsNnJUkaeqpWPM8GFgH9Cp7Ae4F9AIOntlkuMCS1T1/DZwE+fcUPBhw0HT4rSdLQMqChttJwUFtgaLcJO3HCK/+FEAKjurrYc/Kug901aZtXdZ4mYNCUJGkE6nTw3B1Y1eF7SAMya/oUvvXZ9/L3vPjAXJvnecB+e7PvPnv4AVdqojZX8/d/nsfHv3htv+dpjurqMmhKkjQCdSR4pknYBTgJ2AH4cyfuIbVLV1cXs6ZP4fXv+1zDPM8vcMB+0x1uK9G8sjlvwaLK8zQ/cPIrOPMdx/DxL15n0JQkaQTpNXimSTgLOLPh8B5pEjb28/oRuKaVjklb06KlDzvPUyrVh8wxY0axdt0GFixaxln/9a3NKputzNP81Fe/z7uPP4LvXvx+NmzsZt+992C/GVMNmpIkDXP9qXiGut/Hhq978wDwFeAzVTslbW3O89RI1ts8zXO+9B3e++aX87mrf7RFZROcpylJkvqnr+B5EXBV+ftAsWfnUuDgXs7pBlZkeXyk1U6lSfgwcBCQAjOB+VkeZzRpF4A3AUcBs4FpwDLgT8Ansjz+v37e71DgVz08/aMsj0dVegEacpznqZGoP/M06yuajZVNg6YkSeqvXoNnGR43Bcg0Cb8GlmV5nN/hfp0HPATcCkzopd1Y4GsUQfO/gbuBqcDbgJvTJJyQ5fHrFe57GfCbhmP3VThfQ5TzPDUStDpPE5pXNg2akiSpvyotLpTl8dAO9aPRvlke7wJIk/A3YMce2m0ADs3yeFP9wTQJlwN/Bz6TJuEbWR67+3nfmysGVQ0jzvPUcNOfrU76mqe5es26Hiub73/Lv/LUZG+etv9052lKkqRetbyqbZqE0RRDYfcGts/yOKddnaqFzn602wDc1OT44jQJNwFHA5OBRf29d5qEHYCNWR7X9PccDQ/O89RQ193dTb5gEfcufJBHV65mh+3H8fEvfJsjX5D2uNUJ9D1P875FD3LFd37JF848hR3GjeOmOQewcpWVTUmS1H8tBc80CR8CPgBMrDs8p+75CcBvKYbCHpLlcdkA+tiqvYB1wMMVzvk8cCVAmoR5wBeA/8ryGNveO21znOepoWjDhg389Y4FrF6znvuWPMRd9y7e7O/v5z9yIhd+5X94/ZHPdZ6mJEkaNJWDZ5qEa4A3lF/eBezTeJ0sjw+nSbiRYq7lq4HLB9bNyn08kmIBpK/1s3K5Hvg+8GOK1XinASdTLK70DIo9SbcQQjgVOBVgn332GWi3Ncic56mhoDZ8dulDK9h+7Hbk9y5h8UOPMG33Cfxt3gI+fcUPNvv7+57zruK9b3454DxNSZI0eCoFzzQJbwCOpQhnR2d5vCVNwkKK4ayNvgG8HXglWzF4pkmYRbHg0P3Av/fnnCyPv6XoZ/11LqcIoiemSfhqlsf/azwvxngZxYJEzJ4926roMFCb57nXlN02DbcFWLb8UfafOcid04hVW312+SOP8c97HuCcL17Hu44/kj0nTeRv+QIAlj60gu7u2HSe8qhRo7jy+l85T1OSJA2aqhXPkyn28nxPlsdb+mg7l2Jrlae10rFWpEmYCfyCoo9HZHlc2uq1sjx2p0k4H3gpcCSwRfDU8DN18kSSffbYtH9hbbjik5O9eHb3LD+Ua6uoBc2ly1cQgHsXP8TiB4uq5tvOvpz3vvnlLFu+gmXLH6W7u/Yzr8iorq5NCwLVjB83hqfvtw8PPvyolU1JkjRoqgbPAynC5A/6apjlcW2ahEeASa10rKo0CTMo9uLcETgsy+Nf23DZe8rH3dtwLQ0Bs6ZP4QtnnsKrTvvUZsMVT/nopaRPfoLDbdUxm6qaKx7jngeWsfjBYier2hBaKKqatXmaReAswibAN374G951/JGc+Y5jNpvj+eWzT2WvKbtx05yzXRBIkiQNmqrBc0dgZZbHdX22LIwFNla8R2VpEqZThM5dgBdnefxjmy49q3xc3KbraRvX1dXFdqNHOdxWHddbVbMWNOHxIbSFuGme5qiurk1hM4TAycccxsVf+zGnHHMYV573DkZ1dTFj2u4840kzGD265QXMJUmS2qLqp5GlwLQ0CTtneVzRW8M0CU8BtgfuaLVz/VGGzhspVtg9PMtj1kvb7YB9gVVZHhfUHd8ty+ODDW3HAmeXX/ZZ4dXwMW3yrg63VUf0t6r5eNCExqpmbZ7mu44/crOw+aQn7MkXzzyFlWvWsufkXTnQwClJkrYhVT+V/BZ4LcWqtpf10fZMirmWv6raqTQJxwPTyy8nAWPSJHy0/Hp+lsevle12Kq8/A7gY2D9Nwv4Nl7shy2OtYrkncBvF3p+H1rX5SZqEB4CMx1e1PY6i4nlxP+azahhxuK3apdWq5qi6H240VjW/et0veN0Rz2HtuvU85xn7kz55JqvXrme/6VPYb+Y0fzAiSZK2SVWD58XA64CPp0nImlUX0yRMBD5FEVC7gUta6NfJwAsajp1TPt5EsWotwG5AbfDju3q41gvpe6jsdcCrymtMAFYCfwTOyvL4zf52WsODw201EO2oataCJtC8qrl6LTvvOJ49dtuJWTMMm5IkadsXYqy2C0iahE8CH6DY+/L/gEOAccDngCdTBMZxQAA+muXxvHZ2eFs1e/bsOHfu3MHuhtrk9rsf4Ki3nb/FcNuvnPs23nDEc/ygr016q2r++Y75dS0D3d3dm77qqaq5ctUavnrdLzjlmMN44hP2ZMKO27Ohu5s169az7957uOWJJEnaZoUQshjj7KbPVQ2eAGkS3kNRgdyx7nCkCJtQVAw/nOWxlWrnkGTwHF66u7v5+c1/5VWnfYrdJuy0qeo5qquL4/71+cyaMXWwu6hB1FtV8/GwuXnQBHqsajaGze3HjWHdho0GTUmSNKT0FjxbWnkiy+Pn0yRcBbwGeA4wFeiiGNJ6M3BtlseHWuuuNPhqw213m7AT7zj2JZtVPZN9prDvPnsYBkaYZmFzIHM1a8Nna1XNZz51X6uakiRp2Gqp4qktWfEcfm6/+wGu+eFv+PQVP7DqOQL1bwitVU1JkqSatlc8pZFg1vQpPDXZ26rnCFJ9YSCrmpIkSf1hxbNNrHgOT/+8+36+8cP/s+o5TA10YSCrmpIkSY9re8UzTcLLgGOApwITge16aR6zPO7byn2kwbbf9KlWPYeZdm53YlVTkiSpfypVPNMkjAO+Dby8dn4/TotZHke10LchxYrn8GXVc2jr9HYnVjUlSZIK7ax4ng0cBWwA5gC/oFjJduNAOihtyxqrnld855e87ojnEIF8wSJm7jWJ0aOdLr0taWdVE9issvmkJ+zJF888xbApSZJUQdWK5wJgT+CULI9XdqxXQ5AVz+GtVvX85g//j7e85kWbDbn9yrlv4w1HPMfwMch62u6kHVXNCTtuz4bubofQSpIk9aK3imfV4LmKYnjtTlkeN7Spf8OCwXN46+7u5rqf/p4/3z6fz139I4fcbgPc7kSSJGnb0s6htvcCUw2dGmm6urp42hOn87f8PofcDiK3O5EkSRqaqlY8PwGcATwvy+PNHevVEGTFc/jr7u7mFzf/ld/c+s9NQ25r4XPUqFE858D9ePEhTzV8tpHbnUiSJA0d7RxquzPwW2AU8PIsj3e3p4tDn8FzZNiwYQPX/uz/8bc7FvDt//2d8z3brKegCbQ0hNa5mpIkSVtP24InQJqE3YFLKVa3vRb4G7Cwt3OyPM6pdJMhyOA5chQLDf2WjRs3Ot+zDXobPut2J5IkSUNHO+d4AuwH7A2MAd7Yz3OGffDUyLHf9Kk8/6D9+c2ttzvfswW9DZ+tzdMEtzuRJEkaTip9Mk6TcAjwc2AsEIF5wBLcx1MjSFdXFy981lPYGCMQueI7v9w03/OUYw5jxcrV/M8v5/KUZC/2mzFtxIeevobP9mdfTXBhIEmSpKGs6hzPnwEvBn4HHJvl8d5OdWyocajtyNM43/Ndxx/JqtVr+ep1v9i04NDzD9qfFz7rKSOq+tn/eZrQ3+Gz4MJAkiRJ27p2Li60HNgZmJnlcUFf7UcSg+fIVD/fc9SorhG52u1Agib0fwVaFwaSJEnatrUzeD4IdGV5nNiuzg0XBs+R6fEtVm6nu7ubGOOm1W5rQ29n7DWZ0aO6hs3Q23YFTXAFWkmSpOGkncHz58ALgN2yPK5oU/+GBYPnyLVhwwZ+/vu/cfMf7yACGzdu3GLo7VANoPUhc8OGbrYb3dW2oAkOn5UkSRpO2hk8Xwr8GPhElscz29S/YcHgObJt2LCB7/8qI8bIn29fsNnQ26EUQHurZkL7g6ZVTUmSpOGj3ft4vh34LHANcEGWx3zgXRz6DJ7q7u7m7nuXcMf8hdz853mbht72FEA3q/Dtswf7Td96oauxkgn0o5oJBk1JkiT1pJ0Vz7vK304Gxpe/XwMs7uW0mOVx337fZIgyeKqmcehtswDa05zG0NXF+g0bimA2wDDaLFzClgGzpj/VTDBoSpIkqbl2Bs8tP4X2LWZ5HNXCeUOKwVP16ofe/uX2BVsEUGCzEFrTGNwmTdiZGGD9+g2EEDZr25uewiX0VMmEvqqZYNCUJElSz9oZPF/QSgeyPN7UynlDicFTjWpDb2+97R66utgsgAKbhdCa+jC6/fixjB09iuWPrqp8757DJfRUyYTeq5lg0JQkSVLP2jrHU80ZPNWTZgEU2CyE1tSH0acke/H3/L4W79pzuIQtK5nQv2rmZkOBDZqSJEmq01vwHJ472kvbkK6uLvadPoWZe0/m7nuX0N0Nix58mGmTJmwKoTX1YfSxlWvp7m71B0OxabiE5pVMgJOPOYyLv/bjzYLmM5+6ryFTkiRJA2bwlLaS+gB654LFLF/xGN3dkUX125XUhdGddhjXY3jsS0/hEpoHzFDex6ApSZKkTmh5qG2ahOnAs4FpwA5Aj6ueZHn8eEs3GUIcaqtW1K88u3FDN6PrFgUayBzPnobJ1jhcVpIkSe3W1qG2aRKmAV8GjuzPvSlGDw774Cm1oquri1kzpjJrxtRNx55VF0a7gI2x+qq2YPVSkiRJ245KwTNNwi7ATcATgGXA74BXAquB7wB7AIcAO5XP/6idnZVGgmZhVJIkSRrKqpZA3gvsC/wB2D/L46vL449keTwhy+NLganABcDuwIYsjye1rbeSJEmSpCGnavB8BcXQ2Q9keXy4WYMsj6uyPH4E+AzwljQJbxpYFyVJkiRJQ1nV4Lkv0E0xxLbemCZtP1k+vrVqpyRJkiRJw0fV4DkaWJHlcWPdsZXAzmmy+aonWR6XAQ8DBwyoh5IkSZKkIa1q8LwfmJAmob7CeR8wCti/vmGahPHABGD7gXRQkiRJkjS0VQ2ed5SPT6g7dnP5+LaGtqdTbKdyZ/VuSZIkSZKGi6r7eP6IYv/OVwPnl8e+BLwZeFeahFnAnyiG176cYiGiq9vSU0mSJEnSkFS14vldiv06d6wdyPL4B+BDFCHzCOAM4CiKaud3KVa3lSRJkiSNUCHG2JYLpUl4MvAaYC/gEeCGLI83tOXiQ8Ds2bPj3LlzB7sbkiRJkjQoQghZjHF2s+eqDrXtUZbHfwD/aNf1JEmSJEnDQ6XgmSbhVoohta/N8nhXZ7okSZIkSRpOqlY8nwysM3RKkiRJkvqrlX08Qyc6IkmSJEkanqoGz58C26dJeFYnOiNJkiRJGn6qDrU9FzgGuDRNwuFZHpd1oE+kSfgwcBCQAjOB+VkeZ/TSfn/gk8ALgDHArcBZWR5/WeGeu1C8vqOB3YA7gUuAS7O8TUv/SpIkSdIIVDV4JsB/UOzNeXuahDnAzcBSYGNPJ2V5/HXF+5wHPEQRICf01jBNwr7A74ANwIUUW7m8FfhpmoQjsjz+vK+bpUkYA9wAHAhcDNxGsSfpF4E9gLMr9l+SJEmSVKoaPG+kWNUWirme7y5/9Sa2cJ99awsYpUn4G7BjL23PpwinaZbHP5XnzAH+DnwhTcIT+1GxPAV4JvDuLI8Xl8cuT5PwHeAjaRKuzPI4v+JrkCRJkiRRfY7ngrpf8xu+7unXvVU71d9Vc9Mk7AC8ArixFjrL8x8DvgLsRxEo+/JGYBVwecPxi4DtgNf3pz+SJEmSpC1VqkT2Ns9ykDwNGEsx3LfR78vHZwK39HSBNAldFPNJb83yuKbh6VuAbvoXXiVJkiRJTVSteG5rppWP9zd5rnZszz6uMREY3+waWR7XAg/2dI0QwqkhhLkhhLlLly7tX48lSZIkaYQZ6sFz+/JxbZPn1jS0aeUates0vUaM8bIY4+wY4+xJkyb1cRtJkiRJGpmGevBcVT6ObfLcuIY2rVyjdp2+riFJkiRJ6kHV1WYBSJOwF3AS8FyK4a47UKxy20zM8rhva93r0wPlY7OhsLVjzYbh1lsOrG52jTQJYyn29Lyp1Q5KkiRJ0khXOXimSXgTcBlFJbDHsFn3XF9bmQzEXymGyD67yXOHlI9ze7tAlsfuNAm3AgemSRhbzuusOZiiKtzrNSRJkiRJPas01DZNwkHAlRSL8VwJvLp86iHgxcCbyuPrgGXAccCL2tXZRuW2KT8ADk2T8PS6fu5IsTfnPOpWtE2TsF2ahCemSdin4VLfpJjHeWrD8dOBDcC32997SZIkSRoZqlY831ee87ksj/8OkCYBYF2Wx1+Wbb6ZJuEi4GfAuRRblVSSJuF4YHr55SRgTJqEj5Zfz8/y+LW65h8GDgN+libhc8AK4K0UQ2dfnuWxvuK6J3AbxdDZQ+uOX04xdPizaRJmlG2OpAjW52Z5vLvqa5AkSZIkFaouLvQ8iqGzn2s4vtmQ2yyPfwXeCcwAzmihXycD55S/JgMT6r4+ueFeOcVc09+X9/o0sBJ4WZbHn/bnZlke11FUbL8MHAt8AXgi8C7gzBb6L0mSJEkqhRj7PwUzTcJqoDvL4w51x9YDK7M8TmhoOxp4DLgny+MT29Pdbdfs2bPj3LlOBZUkSZI0MoUQshjj7GbPVa14PgZ0Nxx7BNgpTcJme11medxAsfDP3hXvIUmSJEkaRqoGz/uB7dMkTKw7dnv5+Jz6hmkS9gV2Ata33j1JkiRJ0lBXNXj+oXx8Wt2xn1DM8TwvTcIUgDQJu1Ms2BMp5l5KkiRJkkaoqsHzexQh8/i6Y5cAS4AUWJAm4X5gEcWqsd3AJwbcS0mSJEnSkFU1eP4M+Fdg03YmWR6XU+zVOZdiq5Wp5XXvA16b5fE37emqJEmSJGkoqrSPZ5bH9cCPmhz/B/CsNAl7A3tRLDh0W8MempIkSZKkEahS8OxLlsd7gXvbeU1JkiRJ0tBWdaitJEmSJEmVtFzxTJPwHOAY4CBgUnl4KXArcG2Wx5sH3j1JkiRJ0lBXOXimSdgDuBo4vDwU6p5+EvB84D1pEn4GnJjlcfGAeylJkiRJGrIqBc80CTsDvwH2pQicvwNuAu4vv54KvAB4LvAS4KY0Cc/M8vhoOzstSZIkSRo6qlY8/xNIKIbUvj7L443NGqVJ+BfgWmAW8FHgQwPooyRJkiRpCKu6uNBrgAic0lPoBMjy+GvgFIoq6DEt906SJEmSNORVDZ5TgTVZHn/Qj7Y/BFYD0yr3SpIkSZI0bFQNnkuBDf1pmOUxAhvLcyRJkiRJI1TV4PkzYMc0Cc/uq2HZZkfgp610TJIkSZI0PFQNnh8DHgSuSpMws6dGaRJmAFcCS8pzJEmSJEkjVNVVbWcCHwY+DfwtTcK3gRsptlOBYj7nC4DXA+uA9wNPSJPwhMYLlQsQSZIkSZKGuarB80aKVW2hWLH2hPJXowCMBy7v4TqxhXtLkiRJkoagquFvAY8HT0mSJEmS+lQpeGZ5nNGhfkiSJEmShqmqiwtJkiRJklSJwVOSJEmS1FEGT0mSJElSR7myrIaU7u5u5s1fxMIly5k6eSKzpk+hq8ufn0iSJEnbMoOnhozu7m6uv+EWTjjjElavWcf4cWOYc8FpHH34wYZPSZIkaRvmp3UNGfPmL9oUOgFWr1nHCWdcwrz5iwa5Z5IkSZJ6Y/DUkLFwyfJNobNm9Zp1LFy6fJB6JEmSJKk/DJ4aMqZOnsj4cWM2OzZ+3BimTpo4SD2SJEmS1B8GTw0Zs6ZPYc4Fp20Kn7U5nrOmTxnknkmSJEnqjYsLacjo6uri6MMP5oD9LmTh0uVMneSqtpIkSdJQYPDUkNLV1cX+M6ex/8xpg90VSZIkSf1kqUiSJEmS1FEGT0mSJElSRxk8JUmSJEkdZfCUJEmSJHWUwVOSJEmS1FEGT0mSJElSRxk8JUmSJEkdZfCUJEmSJHWUwVOSJEmS1FEGT0mSJElSRxk8JUmSJEkdZfCUJEmSJHWUwVOSJEmS1FEGT0mSJElSRxk8JUmSJEkdZfCUJEmSJHWUwVOSJEmS1FEhxjjYfRgWQghLgfmD3Y8W7Q4sG+xOqBLfs6HJ923o8T0benzPhh7fs6HJ923o2Rrv2fQY46RmTxg8RQhhboxx9mD3Q/3nezY0+b4NPb5nQ4/v2dDjezY0+b4NPYP9njnUVpIkSZLUUQZPSZIkSVJHGTwFcNlgd0CV+Z4NTb5vQ4/v2dDjezb0+J4NTb5vQ8+gvmfO8ZQkSZIkdZQVT0mSJElSRxk8JUmSJEkdNXqwO6D2S5PQBbwH+DdgBrAU+DZwZpbHlf28xpHAR4GnA2uBXwAfzPJ4dyf6PNIN5D1LkzAROAF4OfAkij2aFgA3Aedkeby3cz0fudrxfdZwvW8DrwX+nuXxqW3squq06d/H0cA7gBOB/YENwJ3Al7M8frn9vR7ZBvqepUkIwLHAacB+wFiKfyO/BVyU5XFFZ3o+cqVJ+DBwEJACM4H5WR5ntHAdP4tsJQN9z/wsMjja9b3WcM2OfR6x4jk8fQ74LPAP4F3AtcC7gR+U/4H3Kk3C0cAPgfHAB4BPAf8C/DZNwrROdXqEG8h79izgM0AELqH4cPVj4Djgr2kSntypTo9wA/o+q5cm4SjgNcDqdndSWxjov49jKP59/BTwJ+C9wIcpPlxN70yXR7yBfq+dC1xD8f31MYr/1/5a/v5nZTBVe50HvIjiBzLLW7mAn0W2uoG+Z34WGRwD/l6r1+nPI1Y8h5k0CU+h+I/5+iyPr6k7fjfwX8AbgG/0cv52wMXAvcDzszw+Vh7/XyADzgZO7VT/R6KBvmfAP4H9szze2XDdHwE3AB8Hjml3v0eyNrxn9dfaEfgi8AXgFe3vrWra9L79J/Bi4PAsj7/qVF9VaMP/aaOB04FbKd6z7vKpS9MkbADeRFFN+1Mn+j+C7Zvl8S6ANAl/A3ascrKfRQbFgN4z/CwyWAb6vm2yNT6PWPEcfo4FAnBRw/HLgVUUP3nqzQuAacBXav/QA2R5/BNwI/D68j8Etc+A3rMsj/c0/kNfHv858BDgsM32G+j3Wb1PUPwQ8KNt6Zl6M6D3LU3CDhRDPv8ny+Ov0iSENAk7daKj2mSg32vbUVTMFtWFzpoHysfKQ+PVu9oH4QHws8hWNtD3zM8ig6MN32v1Ov55xOA5/DwT6AZuqT+Y5XENxU90n9mP8wFubvLc74GdKebIqH0G+p41lSZhF2AnYPEA+6ctteU9S5NwMMVwpNOdZ7ZVDPR9ez7F91SWJuHzwApgRZqEpWkSziura2qvAb1nWR5XA78GXpYm4UNpEpI0CTPSJJxIMU/361ke53Wi4xoQP4sME34WGRq21ucRg+fwMw1YluVxbZPn7gd2L+co9XZ+rW2z8wH2HED/tKWBvmc9+SjFT/uvHkjn1NSA37MypFwO/CzL47c70EdtaaDv2/7l4+kUc2A+CLwe+B3FPM+vtq+rKrXj38c3Ab8CLgDmAXcDV1DMHT2hjX1V+/hZZPjws8g2bmt+HvGns8PP9hQrvzWzpq7Nul7Op4drrGloo/YY6Hu2hTQJxwD/DvwUuHJAvVMz7XjPPgDMAl7dxn6pdwN932rDancFnprl8Z/l199Ok/Ar4IQ0CZ/M8viPtvRW0J7vtbXAXRSB5ScUi5+8huID8RqK4WXatvhZZBjws8iQsdU+j1jxHH5WUSwV38y4uja9nU8P1+jP+apuoO/ZZsrl56+hWIDhdVke48C6pyYG9J6lSUiAM4FPtHl+hno30O+12ip/v68LnTVzyscXtNg3NTfQ77XtKSrSO2d5fHOWx29mefzvLI+vpdhO5eNpEvbv6XwNGj+LDHF+FhkatvbnEYPn8PMAxdCjZv9Y70kxZKm3nww/UNe22fnQfOiLWjfQ92yTNAkvA64H/g68xHmDHTPQ9+wzFIstfLecc5aU//iPBsaUX09tf7dHvIG+b/eVj4uaPLewfJw4gP5pSwN9z46h+En+tU2eu5bic9DzBtxLtZufRYYwP4sMKVv184jBc/j5A8X7enD9wTQJ44BnAHP7cT7As5s8dwjFYhp3DKyLajDQ96zW/qXAdymWNH9xlscB7+ekHg30PZtOMYfp7xRzzmq/9qT4kDyPYr6F2mug71ttgZu9mjxXO7ZkAP3Tlgb6ntVCyqgmz41ueNS2w88iQ5SfRYacrfp5xOA5/HyLYv7K6Q3H30oxH+Ka2oE0CVPTJDyxHIpUcxPFT+5PKffzqbV9OnAocG2Wx/Wd6fqINdD3jDQJLwG+R/Ef8WFZHh/qZIc14Pfs/cBrm/xaSrFv3WuB8zvV+RFsQO9blse7gd8CB6dJOKiu7ajyGhuAn3Ws9yPTQL/XavNt39zk2rVjf2jynLYSP4sMPX4WGZq2hc8jITrkethJk3AxxZLI3wV+DDwJeDfFB6YX1fYyS5NwFcV/vC/M8nhj3fm1uS9/pvgpx87Aeyn+80+zPDq8pc0G8p6lSZgN/IZir7szgGWN18/y+PWOv4gRZqDfZz1c8x7gsSyP7nfWIW349/FAiu+3dcB/AQ9SrGz7XODjWR7P2lqvZaQY4L+PoyjmeB5M8b59h+LfyqMptse5Nsvj67biyxkR0iQcT1FJAXgXMIZiSB/A/CyPX6trexV+Fhl0A33P/CwyONrxvdbDde+hA59HHF4yPJ0O3AOcCryc4pv/YuDMJhtobyHL47VpElZTrPj3aYpV5X4BfMh/6DvmdFp/z57K44stfK6HNv5j336nM4DvMw2a0xnYv49/TJPwHODc8lrjgNuAk7I8XtWRHut0WnzPsjxuTJPwYortbo4GLqQILvOADwGf7VivR7aT2XKhrXPKx5uAr9EHP4tsdQN9z/wsMjgG/L22NVnxlCRJkiR1lHM8JUmSJEkdZfCUJEmSJHWUwVOSJEmS1FEGT0mSJElSRxk8JUmSJEkdZfCUJEmSJHWUwVOSJEmSRrgQwhUhhCUhhL/1s/3rQgj/CCH8PYTwjT7bu4+nJEmDL03CicCVDYevzvJ4YhvvcTpbbu7+sSyPZ7fxHmcDZ9HmvkuSOiuE8C/AY8CcGONT+2g7C/g28KIY4/IQwuQY45Lezhndvq5KktQ5aRImAKcDtDMobYPWAw+Vv3+kp0ZpEqYAHwaOAvYs294CXJTl8Rc9nLYSWFz+fhdgXDs6rEKahBnAicDDWR4vGtTObGVpEl4FPAO4McvjjYPaGUktiTH+OoQwo/5YCGFf4AvAJGAV8NYY4z+BtwJfiDEuL8/tNXSCwVOSNHRMoKikAZw9eN3ouN9leTy0twZpEp4G/BLYrTy0AtidIoS+PE3CR7I8XtB4XpbHy4HLy2tcBby5fd3eZBlwO7CwA9fe1s2g+Ds6H7hoUHuy9b2Kx/8+3Th43ZDUZpcBb4sxzgshPAv4IvAiYD+AEMJvgVHA2THGn/R2IYOnJElDSJqE8cD3KULnH4Hjszz+PU3CzsCZwL8D56dJuDXL48+2dv+yPF4CXLK17ytJaq8Qwo7Ac4BrQwi1w2PLx9HALOBQYC/gNyGEp8YYH+7pegZPSZKGln8DplPMw/nXLI/3A2R5XAG8P03CvhTVp/OBrR48JUnDRhfwcIzxGU2euw/4fYxxPXB3COF2iiD6h54uZvCUpBalSbiHIgC8ELiLotr0Uop5EAuB7wDnZHncYp5emoQxwOEUAeFgijl6O1LMv/s/4LNZHrN+3Hce8B/Ay8pr3JblxX8QaRKmltc/imJIzJ7ABuBOiorZ57J8y59Mpkk4FPgVMD/L44w0CS8FPgAcRPGf0B+AM7M83ly23wX4IPBaYG+KoZbfAM7O8ri6lz+/5wGnAc8r/8weo6jgfRX47yx/fPW7NAk3Ai+o+7pxZbwtFsgp59v9O/CSsl8bgTsoFkO4JMvjyiZ9ql13JjAeOINiSNEU4EdZHl/V0+spz38axTzLscBbszx+pUmbYyn+fDYAz83yeEtv12ziTeXjN2qhs8GnKN73g9IkPDHL4z8rXn9AeltcqOHPtxv4T+AIivf/AYrvmY+XIbp2zt4UQ1cDcECWx6arLaZJGAssAXYGXpnl8fsNz08C3kfx/TCzvN7dwP8An8ny+BANyu/TtwOvB54M7EAx/3YRxffp1+u+D+6h+L4EmN7k7+hJWR6vamj7QophyWcBL6cYLn0PxdC2z2d57C7bvxZ4N3AAxffgb4AP9fRnMYDXW9+vvwAfBV4NTKP4vv4xxff+wrpzDqX496LmrDQJZ9V9TZbHgKQhJ8a4IoRwdwjhtTHGa0NR9nxajPHPwPeAY4GrQgi7U3zOuKu367mdiiQNXALMBU6mmIcYKeZ6/TswtwyAjV4C/BA4BXgaRciJwD7AG4Hfp0k4vo/77gf8ieKD8R4Ui9LUu5hiLsaRZR/XUnxwfgZFSJ6bJmGv3m6QJuEdwP9SfBAdRbEgzYuBX6ZJeF754fb/gI9QfDjtohhy80Hg2l6u+0mKD8+vpwjEayn+7A6jCGXfSJNQ/3/UQxQffGsWN/x6rOH6RwO3UQTb/crDYyjC8wXAzWkS9ujlpT+f4j09oXzNG3ppu0mWx79Q/CAA4HNl9bG+X3tRvCcAn6gaOtMk7ASk5Zc/7aHZ73l8UaIXVbl+3X2uSpMQyyDSCU+n+CHDKRRBsYvHv2d+kSZhu1rDLI/3Uvwdg+J7oycvL6+1HNhsnlH5Q45/Uvwg4anAdhRB7CkUf3f/lCZh/4ZzRlNUjC8Cnl1e+zGKIc5PA94BvKfulKXlvaEI1Y1/R5v9EGYmcCtFFXvnsl9PBD4LfL7sxwUUPyx5NsWf004U39O/SZMwq9kfRCuvt8FeZb/eC0ym+LdpGsX79bs0CRPr2q4rX9+a8uvaAlb1vyQNASGEbwI3A/uHEO4LIZxM8cPOk0MIfwb+DryybP5T4MEQwj8ofvj0gRjjg71d3+ApSQP3aYoP+s/P8rgTRbh7FUVQSoCrm5zzGMXWGYcBu2d53CHL43iKasNFFCNSLkuTsE8v9/0MRWX1ueX5OwLH1D0/j6Ji8RRgfJbHiRSrmB5KUbXcF/hyL9efRLH1xvnAblked6H4oHxzeZ3PApdSfKh9PsUH4p0oPpxuoFjk5sjGi6ZJeA9FMF1K8eF9YpbHnSn+3F5XvqY3AB+qnZPl8WjgmXVfT2n49em66z8T+O+yX5+k+DPdAdgeOAT4fxSVozm9vPYvln9GB5R9254iFPXHZyn+E94R+HqahFFlvwJwFUXAvgU4t5/Xq/ckigABxQeALZRVstvLL5/cwj22hqsofmhS+/PdkeIHN2uB2RSrJdar7Q/3hl6ueWz5eF2Wx3W1g2kSpgM/AHYFvkIR7MZT/J14KkVI3Ru4vvZeld5IUWVfBRwPbF9+D42l+Dt1GvDnWuMsj88Eji6/vLfJ39FvNenz5yiqkE8vv792pqgCA7wzTcJHKKqWpwO7lH9WB1C8vxOATzRecACvt97FFCH6OVked6B4f14JPEzxA4IP173u32V5nALUXt+nG197D/eQtI2JMR4bY5waY9wuxrhXjPGrMca7Y4wvizE+Pcb45Bjjx8u2Mcb4vvLYATHG/+7r+g61laSBGwsckeUxh00f/P8nTcIKipVHD0+T8Lwsj7WqDeV2Azc2XijL4wLgveVCMW8BTgI+1sN9NwCHZ3lcXHd+Xvf7DzeekOVxPXBTmoSXUVREjkyTMDPL491Nrr89cFWWx/+oO/+eNAlvoBgO+EyK6umT6+67DvhqmoTnlP0/hmJ4HrBpS5Rzy74fVV/xy/K4Brg2TcK9wO+AD6RJ+Ex9iOinz1GEzvdleazfs3Ij8P/SJBwB/A14SZqE2Vke5za5xhKK93R12bdIMUS5T1keY5qEN1MMVTyEosJ0DkV17DDKIJPlsV9V1Ab11fMHemlXe65ZtX1bcD9wZJbHtQDl4xVpEg6kCHTH8HhlGIrq+X8BM9MkPLs2vLWmrAS/vPyycRPzT1CEtP/K8viehuf+nibhlRQ/CHg6xbDS68rnDikf52R5/HrthCyPG4EFFNsLDFQ3xZ/Dw+W1VwHnpkl4IUW1+hPAWVkeP193/7+lSXgr8GvgFWkSxjR8j7T6euutBV6c5UX1ovy7+v00CedS/KDtGIofHklSv1nxlKSB+3Z94KvJ8vgrigAFm1ci++MH5eNze2kzpz50VlHO76r17dm9ND2/ybkLKKqpANc2e+1AbR/Jxg2oX0NRPfm/noaZZnn8PcU8kYk8Pqy0X8qhrc+lGNZ4aQ/XX04xfBiKebbNXNLb/NS+lMND31F+eWYZRGt/lv+e5fGOFi+9Q93ve+vfqvJxx1ZukuXxxCyPIcvjjFbO74fP1kJng++Vj5v9vSkDUG2hpGPZ0qsoqnr3UwQyYNMKwK+t3bNZR8rQVgtf9X8favNMOxneL202zxr4efm4jub9/i3F0NaxFKMqgAG/3nqX1UJng++VjzPTJOzQ5HlJ6pEVT0kauBt7ee4miqXID2p8Ik3CrsA7KRZX2Z9iLmHj0LdpvVz75l6eq93jYOBtZR/2YvPg0tc91vB4wGy0hGLuZE+Lm9QC8cSG488pH5+VJmFRD+dCMUwQiiGBfb7OJtcfA9ydJj2uaVILZHv38HyVezaV5fGbaRL+lXLxhfLwj7M8Ng3E/TRcFmnpadXD2mJJjX9voKhkvhx4XZqE95aVx5ra3M//ri3IU5pN8XcBimp3T/0ZXz7W/334X4rh3q9Mk/B9ivfwph4CWav+2sPx2kbs92R5fKzxySyP3WkSllF8T9f/WQ3k9dbr6/2Boqq6xQJdktQTg6ckDVyzlUUbn5tUfzBNwpMphuHWL3DzKEUVK1J8eJxI86BYs7S3TqVJeD9wIY+HlY0U87Zqw/J2oZir2dM9FtevLNug9qF/YR/Pb9dwvFY9Gs/jH357s30/2jS7/ig2/7Otev1e/2wreCfF3LjtKSpoJw/wevUhZDzF35lmaq9ri9Cyjeip37UFapp9PvkfiqCzB8Uw1BsA0iTsTrHgFWw5zLa+Wlnp70OWx5vSJJxJsRDXv5a/SJPwT+BHwJezPPb0g5n+6uv7p6fn69vUf4+1/HobNH1/sjyuqQuzjd/bktQrg6ckdVZPJYcrKT4Y3koxB/C39ZWNNAmHUQy3663CtbGnJ9IkPIViYZ0AXAJ8Cbi9vkqUJuFrwHF93KPdalM8Ppfl8X0dvP4fszxuUWWuoMc/24pez+Mf7neimFfXW6W3L/XzOqfx+CJCjWpV7N6Cy5CS5XFlWXk8lqLCeUP51GspPs/cnuXx1obTan8flmd53JWKsjyekybh6xTv46EUw9KfWP56T5qEk7M89rZI1dY2oNcrSZ3kHE9JGrjehsPWKhCbKmjlSrUHU4SbV2R5/GmT4XT9qVb05jUU/8b/NMvju7I8/qNhaGI77tGK2hDcTq22Wrv+rHI7jEFTbnVRW233bxQB/4pyiHWr/klREYditeJm9+2iGLoN8I8B3GtbVKtovrrctxMen/PZWO2EuiHfaRJaWl01y+PdWR4vyPL4Mooh4C+kmEc6GvhimoTJrVy3Qwb8eiWpUwyekjRwL+jHc/WVmNremUuzPPY0TPfFPRzvr9o9/tjsyXJhkEOaPddhtbmTL0iTsFvFczfN3Su3Junt+jtS7JU6KMrQ+zWKYcy/AJ5Fsa/oNHpY9Kg/sjw+SrG/KPS8MMyzKIZRw+OLPA0XPwUepHh9Ly/3RX1e+dw3m7Sfy+N7sB7d5PlKsjxuLFekPopi39wdKOZV1tT+jg7WXNy2vt6KBvu1S9rGGTwlaeBenybhCY0H0yT8C4+vSntt3VOPlI97NKuWpEk4gMcXS2lV7R4H9PD8f1AM/dzarqWYpzcO+FRvDRs2qYfHVxmFYmGTLWR5/Cfw+/LLT/a28maahPF1VbN2+yhFAHwYOLHcJuM4irDy2jQJxw3g2rXK3pvSJDRbcfX95WOW5bGnobhDUrkdUG1F1mPLXwH4Q7P5lmVQ/0755UfTJPRY5U+TMDpNwo51X4/pqS3FPOnaCIL6v0O1v6O7MAgG8nrboPbaJ7TxmpKGEYOnJA3cOuB/y70rSZPQVa5mWvuAfEOWx9/Wtb8NuI/iA/O30iQk5XnbpUk4mmLu2kAXhanNf3t5moSPpEnYvrzHpDQJn6LYAL6dq3P2S7kiaG1/0ZPSJHw7TcKmrTPSJIxLk/C8NAlfoNgyov7ch3l8juNJvdzmXRT7ED4V+E2ahBfXht2W781T0iR8lGJfzrZvlVGuJFzb+/QdWR7vK/t/K/Dx8vglaRJ6WlG0L18G5lP84OCH5UJVpEnYKU3ChTxe6fpIi9cnTcJVaRJimoR7Wr1GB9WC91E8/veg2TDbmjOAhyje69+lSagfpkuahCRNwukU35f11cs5aRKuTJPw0nKf0Fr7GcDVFD88WQ38pu6ceRQ/XNglTcJrWnht7dDq6x2ov5ePL+vhByKSRjiDpyQN3PspVqD9bZqERylC4/cpVrLNgTfXNy63e3g3xdC0Q4F5aRJWlOd9hyI0nT6QDmV5/BlwffnlJ4DH0iQ8RDEH7P3AFcAPB3KPAfTtYuA/KeYqvhb4a5qElWX/VlJ8kH8HzVe9/Ur5+Jk0CY+lSbin/HV63fXnAq+mqPoeSBHCV5bbT6yhmG95DsUH855W7W1JGfC/RjH/77+zPDYO/zyfoiK7C3B1L0OGe1TuL/pKih8cHAT8PU3CIxTV1Q9QvKYPl38HhqPfAPdSBL8nUXwffaunxlke7wFeRvFDiydQfF88liZhWZqE2pZBn6PYD7P+78M44ETgJ8AjaRKWp0lYCdxNsdjQRuDfsjwuq7vXSh4f8ntdmoSH6/6OVt3LtyUDeL0D9V2KwLsfcF+ahIW1197Ge0gawgyekjRwOUXl4AqKsDMKuAf4DDA7y+MWK4tmefwuj28J8SjF1gTzKRajOZCiIjpQr6eoftxGUYUJFFXEN2d5HOi2HgOS5fFcihVeL6P4IBwo5sstpNg/8e0UQ1UbfZxib8W/lOdML39NaLj+/1J8AD6XYn7tmrLNCuB3FFtkPCnL4/y2vrDiPd+PYhuddzQ+WS7wdDxFwH4h8N5WbpLl8c8UFd3/Au6iGO75IMU2H4dnebyglesOBeUWP/WB/lfNvscazvkDxUq0H6J4/x+l+PuwmmJe5CeBZ2Z5vKnutDOAD1IEz7sotjgaRVEpvxI4KMvj15rc7m0UP2C4neJ9qf0dbeew1l61+HoHes9lFH+nr6dYTG0Sj792SSLEHrdokyT1pvxJ/nTgheWCI1LL0iScSBFobsryeOhWuN9VFNX4j2V5PLvT95MkjWxWPCVJkiRJHTWoe5xJkqQtvCBNQm040tVZHk9s14XLubCfa9f1JEnqL4OnJEnbhtUUiz/Ve6RZwwFY2eQeA11BWZKkPjnHU5Ja5BxPSZKk/jF4SpIkSZI6ysWFJEmSJEkdZfCUJEmSJHWUwVOSJEmS1FEGT0mSJElSRxk8JUmSJEkdZfCUJEmSJHXU/weh5lu4eTyh1gAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import pandas as pd\n", "\n", "# now visualize the Pareto-optimal parameterizations\n", "#\n", "fig, ax = plt.subplots()\n", "fig.set_size_inches(15, 9)\n", "plt.xticks(fontsize=18, color=\"#322300\")\n", "plt.yticks(fontsize=18, color=\"#322300\")\n", "ax.set_xlabel(\"parameter x[0]: investment\", fontsize=24, color=\"#322300\")\n", "ax.set_ylabel(\"parameter x[1]: depreciation period\", fontsize=24, color=\"#322300\")\n", "\n", "# draw the Pareto optimal points in parameter space\n", "#\n", "# sbn.regplot(x=linear_pareto_optimal_parameters[0], y=linear_pareto_optimal_parameters[1], \\\n", "# order = 3, scatter_kws={'s':7, 'color': '#002855'}, line_kws={\"color\": \"#2f3ef0\"})\n", "#\n", "param_data = {'x0': pareto_optimal_parameters[0], 'x1': pareto_optimal_parameters[1]}\n", "param_frame = pd.DataFrame(param_data)\n", "sbn.scatterplot(data=param_frame, x='x0', y='x1', color=\"#002855\")\n", "\n", "# # draw only the part obtained from linear combinations\n", "# #\n", "# sbn.regplot(x=linear_pareto_optimal_parameters[0], y=linear_pareto_optimal_parameters[1], \\\n", "# order = 3, scatter_kws={'s':7, 'color': '#002855'}, line_kws={\"color\": \"#2f3ef0\"})\n" ] }, { "cell_type": "code", "execution_count": 215, "id": "6d6f7279", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 215, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# visualize the Pareto front, profitable part only\n", "#\n", "import seaborn as sbn\n", "import matplotlib.pyplot as plt\n", "\n", "fig, ax = plt.subplots()\n", "fig.set_size_inches(7, 9)\n", "plt.xticks(fontsize=18, color=\"#322300\")\n", "plt.yticks(fontsize=18, color=\"#322300\")\n", "ax.set_xlabel(\"cost measure y[0]: expenses\", fontsize=24, color=\"#322300\")\n", "ax.set_ylabel(\"cost measure y[1]: sales contribution\", fontsize=24, color=\"#322300\")\n", "\n", "# show the zero net deficit line\n", "#\n", "y0_zero_deficit = [offset for offset in range(500000, 1700001, 400000)]\n", "y1_zero_deficit = [-offset for offset in range(500000, 1700001, 400000)]\n", "sbn.regplot(x=y0_zero_deficit, y=y1_zero_deficit, \\\n", " order = 1, scatter_kws={'s':0, 'color': '#002855'}, line_kws={\"color\": \"#002855\"})\n", "\n", "# for orientation purposes, now also show the tangent at 1:1 weighting\n", "#\n", "y0_tangent_at_1_1_weight = [opt_deficit_1_1[0] + offset for offset in range(-540000, 540001, 60000)]\n", "y1_tangent_at_1_1_weight = [opt_deficit_1_1[1] - offset for offset in range(-540000, 540001, 60000)]\n", "sbn.regplot(x=y0_tangent_at_1_1_weight, y=y1_tangent_at_1_1_weight, \\\n", " order = 1, scatter_kws={'s':0, 'color': '#005528'}, line_kws={\"color\": \"#005528\"})\n", "\n", "# draw the points on the profitable part of the Pareto front, jointly with a quadratic fit\n", "#\n", "sbn.regplot(x=profitable_pareto_optimal_compromises[0], y=profitable_pareto_optimal_compromises[1], \\\n", " order = 2, scatter_kws={'s':16, 'color': '#ea7500'}, line_kws={\"color\": \"#c9211e\"})" ] }, { "cell_type": "code", "execution_count": 214, "id": "af59d45a", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 214, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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AJhvsqMTbRXETcCHQHISdLyLse6YQGE4bfcQiItK33f/YApoSW2KAJvMJvz/EMHWngbuyUSbi9gHPAgb7nlmpC2WnACVAGDcoERHJX2++k+C2u0ZhKCBlZjN43FNM3UmXGsUVNwE/H93+oaNCvmcGA5fh+oufyiAuERHJQ598nuCoU6pobCqAgiWccVITz950qpJvBuIm4L8C9cDJvmeObb0msO+ZAt8z2+JGSW8IVALXZiVSERHJqZmzExx1ShJSw8DUUld8FxOWL1HyzVCsBByEdgYwFVezvQpYDIwB8D0zHVgCPIm7VKke2DcI7aJsBiwiIr1v/sIEOx/8DRUVQ0jZRmqK7qFsZI0uNeqG2KsbBaF9BNgMN9PVENxALgNshBt0ZXA14M2C0D6bvVBFRCQXFi9JcPTp87GNqwLQUPQoxx6yHs/cqEFX3ZHRXNBBaN8BNvM9szqwKbACLpnPB94KQvt59kIUEZFcKa9IstX+r5Kq3gyA+sLnKRv7NfvtsK+Sbzd1azWkILRfA19nKRYREckzt9636Pvk21gQcNShw9h/R9V8syF2E7SIiAwML7ya4N4HRgLQXPAVQ8a+yP476nKjbOnOcoQrA7vi+n7HRZsXAu8CjwShnd398EREJBfe/V+Ck86qATsIChdwzikFbPHz05V8syiT5QiHAFfilh8swA26SrPAAcAVvmduBk4MQluTjUBFRKR3hN8kOPb0KPkWJKkruovxY9Xnm22xErDvmRLcZBw/xyXe2cBrwJzo/grAL4GVgSOB9X3PbBGEtjGbQYuISM+YMy/BnofPxjZNIGXrqSu8g5EjG3W5UQ+IWwM+BdgEqAGOBu5sa15o3zMH4NYD3gQ4Gbiom3GKiEgPa262nHZeNbZpApCivvgBjj1kI/bbQf2+PSHuIKz9cc3MRwWhvaO9RRmC0N6FS9AGN3GHiIjkuYuuSvDhx4MBaCh+ihFj5ij59qC4NeCJuOUI7+1C2XuAG6J9REQkj91yTxUPPxHVqQb9l8tPX4dNNthZybcHxa0BVwB1QWibOisYlanFzQctIiJ5qLwiyT/v/JrrbkoBYEq+oJanKBs2WMm3h8VNwNOAMt8z63ZW0PfMesAI4JUM4hIRkR5WXpFk60Nu5vpbhmOtgcK51BT8HyNGDNagq14Qtwn6AmAH4BbfM9sGoW2zdut7pgy4GTdY6/zuhSgiIj3h9Xfm0Fi+O4YSUqaCPx9fz4orHMZ63sqq/faCuAm4Cnd50T+Az3zP/BNXK54TPT4B2By3XvAg4HAg6XtmldYHCkI7M9OgRUSke2bNTfD3m0ZhKMVSR8noh9j6l79T4u1FcRPwNy1+LwPO7qT8Pe1stxmcW0REsmDh4gS/PehLbMMkoJlDDyzngN2VfHtb3D5gk6UfzUEtIpIDi5ckOPbMuVHyhYbiJ9joJyj55kCsWmgQWiVOEZE+qrwiydZTn6c5+RsAGgqnMWz0Z6zn7Z7jyAYmNQOLiAwQ9z66kKbkrzFAY8GH/OHQEi0tmEOq0YqIDABvvZPgjrtHYjA0F8xkyNhntbRgjqkGLCLSz336ZYI/nFIFqWFQsIS/nNTMlr84Vck3x1QDFhHpx2bNTXDUyUmXfE0tdcV3scJypUq+eUA1YBGRfspdbhRiG1bH2mbqiu9lxMgazXKVJ5SARUT6IWst51yewDasDkB90WMcc8i6Wt0ojygBi4j0M+UVSf52czlvvDUCgMaiaZSN+ZL9dthLyTePKAGLiPQj5RVJtj7wARord8MAm27cxN57rsH6a/5ayTfPKAGLiPQT5RVJ/nb7ezRW7oTBkDKz2H23QjbfeJ1chyZt0ChoEZF+oLwiyTaH/Y1HHp3oVjeinNKxj7LhOhpwla8yrgH7nikCPGAUUNxR2SC0r2Z6HhER6Vzw0WzqF+9OAWVYatlzz5kcPfV4NTvnsdgJ2PfMasDFwG+B0i7sopWPRER60MLFCW66vYwCOxRLM8UjH+PoqVOVfPNcrMToe8YD3gJG41Y1ssACoC77oYmISGfKK5Jss//bpGonA7Drbxdz7GFKvn1B3Jrp+cAYYDZwHPB4ENqmbAclIiKdK69Icsal4ffJt7HoNX6z+SQl3z4ibgL+Na7Wu28Q2jd6IB4REemC8ookWx90P40Vu2OApoKPGTL6DdbzpuQ6NOmiuKOghwO1Sr4iIrn17Kvf0VjxWwwFNJvZHH5wkmdv0tKCfUncBDwTKPA9Y3oiGBER6dyXXye4/qZRGEpJmUoGjXmUA3feVMm3j4mbgO/HjXz+TQ/EIiIinZg7P8FeR8yhsqoYqOfY31fx7C3HKfn2QXET8CXAB8AN0eVIIiLSC8orkkx7+1NOPrsK27QCkKK+5EHW8gqVfPuouIOw9gJuA84FPvQ98xDwDpDoaKcgtHdmFp6IiJRXJNn2yAupXrwpxU2/AqCh+GmGj5qtpQX7sLgJ+HbcKOh0H/AB0U9nlIBFRDL0cTiLZPlalETJ92cbVzB17w1Zz/utar99WNwE/CouAfco3zOnAxsBPrAaMCMI7cR2yp4I7ASshZsgpBz4DPhbENpHu3i+KcDL7Tz8ZBDaHWOELyKSNeUVSd7/0FLS+FsATMlXXHDaGowbs2qOI5PuipWAg9BO6aE4WrsIl0jfBUZ2UnZj4FvgKWARLgnvCTzie+asILTnxzjvjcBrrbbNjrG/iEjWlFck2ebQf9Cw+AAMhSw3vp6br1mDcWOG5zo0yYJ8naN5UhDarwF8z3wEtNvGEoR279bbfM9cDQTAKb5nLgpC29zF874VhPbuDOIVEcm6t/83m/ry3SlgCJYkRx1RzcoTxuc6LMmSvFyOMJ18u7F/EzAHGEonKzW15ntmqO+ZQd05v4hId81fmOCGW0ZSYMdiaaR41CP8cuMJuQ5Lsqg7yxGuDuyB66sdF21eiGs2fqi7STSDeEYDhcBYXBP0tsDLQWjjLBRxDW6UN75nvgT+jutL7vF+bxGRtMVLEmw39T1SdT8BYJ89F/O7qYdowFU/k8lyhINxiepQ3Gjo1rNi7Qlc5HvmZuD4ILS13Y6ya77ALRQB0AQ8DBzVxX0bgcdx/chzgQnAYcDVwAbAIW3tZIw5EjgSYJVVVsksahGRFsorkpx20TffJ9/GohfZ7OfrKPn2Q3GXIywA/oWbCcvgmnlfYelApZWAKcCKwBHAar5ntu2lGuRuwKDo3HsCg4EyXK28Q9Hc1ju33OZ75iZcQj7Y98wtQWhfb72ftfZG3MAtJk+erFqyiHRLeUWSrQ98kMbKXTBAY8H7DBn9Dut5W+c6NOkBcWvAhwBb4tb//RNwc+vkGs0TfQSulrxltM+t3Q+1Y0FoX21x9zbfM/cBr/ueWTcI7ZIMjpfyPXMxsA2wPbBMAhYRyaZnXplHY+WO0QILMzji4DoO3FkLLPRXcQdhHYi7DvjYILQ3tVWzDUJrg9DeCByLqyUf1P0wM3IHsDyuZpypb6Pbsd2ORkSkHeUVSZ548XNuvn0shhJSZgmDxv6LA3f+hZJvPxa3Brw+rr/0ji6UvQO4LtonFwZHt6O7cYw1otv53YxFRKRN5RVJtjniMuoX7kuBNQweZDn+mEa23Ox4Jd9+Lm4NeDBQE4S2sbOCQWgbgGqWJsKsiy4ZWuYd6numEDg6uvufFtuLfc+s7XtmlVblx9CK75lS4Jzo7hNZC1pEpIUPv5hF3aLtKLATsKQ4+IBy9tpxDSXfASBuDXguMNH3jBeENuyooO+ZNXGzWH0TNyjfMwcA6XnWxgElvmfOjO7PCEJ7V/T7GsC0aFGIz3GzZ60I7IubmvKOILQtZ7ZaEfgUmIYbLJb2jO+ZubjJO9KjoKdGx782CO3bcZ+DiEhnyiuSPPyvwRSm3PW9RcNfYM8dt8txVNJb4ibgF3ADrG7wPbNDe9fYRhNZXI/rL34+g7gOAzZvtS09peQ0IJ2AZwN3A5sBuwLDgUrgvaj8vV0830PALsAxuC8N1dExzg5Ce18G8YuIdKi8IslWBzxOc9UOAPzsp5VcfOZ2qvkOIMbGuEIomnzjI6AU+Aq4EncZ0pxo26rAFrgR0hNwo6XX7+1JOXJh8uTJdvr06bkOQ0T6gPKKJFfe/AFPPLE2hiKaC0KuvWQIU362Tq5DkywzxgTW2sltPRZ3MYavfc/sBdwHeLiZoto8J64Wue9ASL4iIl3lFlj4e7TAQhEps4BBY57gx2udlOvQpJfFngs6CO2/gZ/gpmysYulsWOmfStx1vz+JyoqISGT6h7OpL98Nw1As1eyz92yevfkkNT0PQBnNBR3Vag8DDouapb+fC1o1XhGRZZVXJPnf57O45/7lKLCFWJooHvUov9/3ICXfAarbyxFGCVdJV0SkHeUVSbY98kJqFk2hqNmNeD5gnwSHKvkOaPm6HrCISL/xcTiLZPl6lDT/HICtfp3gpD9MzG1QknPtJuAWk1U0BqH9rtW2WILQzsxkPxGRvq68Ism7H1hKGt3lRqb0c049RqOdpeMacHoCjc+A9Vpti8N2ch4RkX7JjXj+ZzTiuYAVVqjn5qvXYezo4bkOTfJAR4kxvc5vQRvb4shkHxGRPu/tD2ZTX747BQzGUsUfDq9hxeXH5zosyRPtJuAgtMtcotTWNhERWdb8hQluuHUkBXYwlkaKRz/CZpMPy3VYkkeUUEVEsmzxkgTbHfAu33zr1qLZd8/FPHfbYRrxLD8Qq282GoTVHIR2ThfLTwCKNAhLRAaC8ookH4ezePq5ElK1GwDQWPQSv/j52kq+soy4g6O+Bb7DrSrUFW8AK2dwHhGRPiV9rW9iyUqUNuwHQFPhhwwZ/TbreVvlODrJR5kkxriDqjQIS0T6vY/DWVRVDGNQ455AASuuWMcJx4xhw3XOUO1X2tTTNdMhQFMPn0NEJKfKK5J8N7+OQY1TwZZCQRVXXzCSNVZfLtehSR7rsQTse8YDxuLW7BUR6ZfKK5Jsc8Ql1C3ai8LUSIqLU1x32UjWWF3X+krHOkzAvmd2BnZutXmE75lbO9jN4Ba13yy6/3LG0YmI5LmPvpxF7eLfUJRaFYAD96vgZxutluOopC/orAa8AXBwq22D29jWnq+Av8SKSESkjyivSPLUcyUUNW8EQOHQaey/269zHJX0FZ0l4Fda3T8bSAJXdLBPCrdO8MfAK0Fo1QcsIv1OeUWSrQ/6PxordscAP1k/wZXnb6EBV9JlHSbgILTTgGnp+75nzgaSQWjP7enARETy2fOvfUdjxU4YDCkzi4P2L2TMqJVyHZb0IXEHYa0GNPdEICIifUF5RZL/vDeHW24fj6GAlKmkdMxjbLDOcbkOTfqYWAk4CO2MngpERCTf/XDEcwGlJZbj/ljPNpsfp6Znia1blyH5njHAKGAoHUy4oakoRaQ/aD3ieeq+S9h35zVyHJX0VRklYN8zuwNHAT8HBnVSXOsBi0ifV16R5GmNeJYsip0Yfc/8EziSrk8xqakoRaRPcyOe76exYg+NeJasibUcYVTz/R1QDRwAjI4emodL5ivirhH+AlgMbK01hEWkr3vh9ZYjnmdz4P4JxozSTFfSPXGT4+G4JuXTgtDeE4S2Iv1AENpUENrvgtDeCfjA18CjvmfWzlq0IiK9qLwiydOvfM7Nt4/FMAhLJaVjHmXDdVbOdWjSD8RNwBtFt3d3dJwgtNXAH3GDs07PLDQRkdxxI54v5pRza1mwsICSEsupxzfw7C0a8SzZETcBjwQSQWirWmxrAJZ5NwahfQfXVL1FxtGJiOSIG/H8awpTbl7nqfssYb9dPCVfyZq4CXghy456LgcG+54Z20b5QmB8JoGJiORKeUWS514spqh5MgCFQ19j6u7jchyV9DdxE/AsoNj3zPIttn0Q3W7TsqDvmV/hkvWSzMMTEeldbsTzPTzx9BgAfrRekufu2Vw1X8m6uJchvQJsDPwSeDDa9hAu+V7pe6YBeB9YH7gSN2DruWwEKiLSG156cy6NFTtH00zO5ZCphjGjVsx1WNIPxa0BP4q7rvfAFttuB94CxgH3A5/hkvMqwCLgrG5HKSLSC2bMTnD9zaMwDMaScCOe19UCC9IzYiXgILRvA8OBvVpsawa2Bi4HvgWacNcA3wf8XPNHi0hfsHBxgl0O+YpFi0uAJn5/eCXP3nKsmp6lx8SeCSu6xKitbadGPyIifUZ5RZKPw1nc9+AQbIMb8dxQ/Bg/WmdTJV/pUZqjWUQGrPKKJNseeSHJ8rUpadwFgMai1xg2OmQ9b+/cBif9nhKwiAxYH4ezSCwZR2njTgCsvVY1fzh8EuuvOUW1X+lx7Sbg6DIigJogtNNbbYslCO2rmewnItJTyiuSzJjVQGnjvkAhpnAhfz1nOVaaMCHXockA0VEN+BXcZUSfA+u22haHliMUkbxSXpFkm8Mvp37RfhTYIQwZ3MyNVy/HShO0wIL0no4S40xc8pzbxjYRkT7rwy9mUbd4Owrt8liaOfzgJfxo7Um5DksGmHYTcBDaiV3ZJiLSV6RHPL/62jgKU66puWj48+yy7Q45jkwGIjUNi8iAsHTE8+qUNLqpDH65aTXnnrqDBlxJTigBi8iA8HE4i6qKEQxq3BWANbx6rjx/BYqLTI4jk4EqVgL2PTMa2BFYEoT2iU7K/ha3fOHjQWgrMg1QRKS7yiuSzPmunkGN+wPFULiEy84eo+QrORV3LugDgduAjbpQ9ldR2alxgxIRyZbyiiTbHHEJF11RBKkySktS3HL1GFZbRSOeJbfiJuBdo9sHOyzl3IFbuGG3mOcQEcmaj76cRe3iLSmwK2OxHDR1Cf6PlXwl9+L2AU8CUsAXXSj7WVTWixuUiEh3pUc8B8E4ipqjEc/DprHPzr/JcWQiTtwEPBaoCkLb1FnBILSNvmcqgfEZRSYikqH0iOfEkgmUNrhesMkb1nDp2b/WiGfJG3GboJcAI3zPlHVW0PfMCGAEUJlJYCIimXIjngdT2rgXUMAqKzdw3aXLM2aUmp4lf8RNwAGuX/eALpQ9IDr++zHPISKSsfKKJPMX1jGocSrYQVCQ5PJzBzGoVCOeJb/ETcB34RLwpb5ntmqvkO+ZrYFLcNNW3pV5eCIiXedGPF/EuZc1Q2oMRYUp/n5JGWtNUs1X8k+sPuAgtP/ne+Zw4DfA075nngGexs0RDbAqsD2wNS65vxKE9u4sxisi0q6Pw1nUlG9GcWoNAPbZq5Jf/GxiboMSaUcmM2HtDtyLS7TbA9u1ejzdzvM0sF/moYmIxDNn5ooUN7kRzwVD/suh+2ya44hE2hc7AQehrQJ29D2zHW5ijp8Dy0UPzwf+A9wZhPbprEUpItKB8ookT744j7/9cxwA66xVx98u3kQjniWvZTwXdJRglWRFJKfKK5Jsc9g1NCw6EAOsNAFuuGI8ZcM16EryW9xBWCIieeX9T2dRv3gXDGVY6jho6gIlX+kTMq4B+54pAnxgZWBIENo7sxaViEgXLF6S4M77hlFgy7BYikc+zm9+sW+uwxLpkowSsO+ZU4GTgVEtNt/Z4vGRwBtAKfDzILSLuhGjiMgyyiuSbD31BZqTvwZg263KOfWP+6rfV/qM2E3QvmfuAS7CJd+vgWWmpYyWH3wFWI2lCziIiGTNQ/9eQFNyCgBNhR+wwzb1Sr7Sp8RdD3gfYF9gLrBbENq3fc98R9vzPd8L/AHYGbgp5nlOxy156OOS+IwgtBPbKXsisBOwFjAaKMctBPG3ILSPxjjnCOAC3OpNY4CvgOuA64PQ2jjxi0jPKa9I8vJbc7n97vEYDCkzh8FjnudHa5ya69BEYonbBH0YbnarPwWhfbuTstNxqyH9OIO4LsIl0neBkZ2U3Rj4FngKWIRLwnsCj/ieOSsI7fmdncz3TAnwPLAhcC3wKe765n/gLrE6J4PnICJZVl6RZJvD/0r9oqkUWMPIEZYTji1ks8mnqvYrfU7cBLwhLqk+0VnBILT10WpI4zKIa1IQ2q8BfM98BLT7nxWEdu/W23zPXI2bt/oU3zMXBaFt7uR8hwM/BY4NQntttO0m3zMPA3/2PXNbENoZGTwPEcmiD7+YRd3i7Sm047A0ceiBS/jtlmvlOiyRjMTtAx4GVAehbehi+VKgs+S3jHTyzVS0XOIcYChQ3IVd9gNqWLap/Opo/2WSvIj0rvKKJI88PojClEu4RWXPseOWy+c4KpHMxa0BLwQm+J4pi2bEapfvmfWAIcAXmQYXh++Z0UAhbs3iPYFtgZeD0NZ1sl8Brr/53TbKvo2r8f80+xGLSFeVVyTZ6sCHaa7cBYBNflbBhX/eSc3O0qfFrQG/Ed3u04WyZ+H6i1+OeY5MfQEsAD4B/gI8TNfiHAUMxtWYfyAIbT2wGFixrR2NMUcaY6YbY6YvXLgw07hFpBPPvPIdTZXbA9Bc8DV7716j5Ct9XtwEfC1usYXzfM/4bRXwPTPK98zNuFqoxY0k7g27AdsAh+IGVA0Gyrqw35Dotr6dx+talPkBa+2N1trJ1trJ48Zl0tUtIh0pr0jy1Mufc+udYzGUkDLlDBrzOD9ea+VchybSbXGXI3zD98zluEk43vQ98zpRkvM981dgXWBzYFC0y1lBaD/OYrwdxfZqi7u3+Z65D3jd98y6QWiXdLBrTXRb2s7jg1qUEZFe4tb2vZi6RXtRmCqgtNRywjFNbPXLE1X7lX4h9kQcQWhPBY7H1Ri3wNU0TbRt2+h+DW5E8UXZCzW2O4DlcTXjjiwBammjmdn3TCnumuBlmqdFpGd9HM6idvEUClMTAZi6zxL23mkNJV/pNzJajCEI7TW4OaAPB27FrYr0HG46yj8Aqwah7a2m5/YMjm5Hd1QoCG0Kd73xhlHCbWlj3Gs0PfvhiUh7yiuSvPByEUXNGwNQMPR19t9N3TzSv8SdCeu30a9vRvM73xr95ITvmaGACUKbbLW9EDg6uvufFtuLgUlATRDamS12uQ/4BXAkrp877TjcVJsPZD14EWlTeUWSrQ++g8Yl+2KAddZOcu3Fv1LNV/qduJchPYZLSB3WKrvL98wBwKrR3XFAie+ZM6P7M4LQ3hX9vgYwzffMQ8DnuNmzVsRNl7kWcEcQ2tdaHHpF3CxX04ApLbbfBBwCXOl7ZmJUZnvcPNYXBKH9JqtPUETa9fo7c2hcsguGQlJmPocekGLs6DYvRBDp0+Im4HKA1jXOHnAYbjBXS+kpJacB6QQ8G7gb2AyXLIcDlcB7Ufl7u3KyILQNvme2xM0FvS9L54I+Bvh7xs9CRLqsvCLJe5/O4o67l8dQgKWW0tGP4v/o6M53FumDjI2xzoDvmWnApsCYzibiGGgmT55sp09XV7FIJtyI5wupXbwdRc0/wRjLH44oZ48dxqvpWfo0Y0xgrZ3c1mNxB2HdiJtt6phuRyUiEvk4nEVN+QYUNf8EgJ13rOLI/VdX8pV+LVYCDkJ7D26Q0rm+Z86Ppn8UEemWmqqVKG7aGoCCQR9xzGGjchyRSM+LOwr6pejXGuDPwKm+Z0LcHNHtLbpgg9D+JvMQRaQ/+/DTBOdc1gQUsPJKDdx45Y8ZM2p4rsMS6XFxB2FNaWP/taOf9mgxexFp0+y5CQ48ej62eRyYai4/ZzgrLKfkKwND3AR8SI9EISIDTipl+fNF1S750kx98X0srNyetVkn16GJ9Iq4c0Hf0VOBiMjAUV6R5K//WML/PnTrpTQUP8nwUYtYz9MiCzJwxK0Bi4h0S3lFkq0PfICmyt0B2GqLJn6742TW83bVqGcZULqdgH3PFOHW1AVYEoS2qbvHFJH+68U3vqOxckcM0Fwwg+23LeaXk9XsLANPRgnY98wI3FzLewA/wl0bDNDse+Yj3NzJ/wxCW5mVKEWkzyuvSPLOh7O59Y7lopmuKhk0+nF+svZxuQ5NJCdiJ2DfM5vhEuxyuGUIWx9vA+AnwLG+Z/YMQvtGd4MUkb7NzXR1EXWLdqUwtQLFRZY/Hd3A9r8+Ts3OMmDFvQ54DeAZYAiwGLgBNzfzHFwyXgF3qdIRuLV4n/E9s1EQ2i+zGLOI9DFupqufU5xaE4C9dq9g6m5ejqMSya24NeBzcck3ALYNQru41eMfAy/4nrkSeBbwgbOBqd0NVET6pvKKJG/811Dc5NZXKRg8ncP2+1mOoxLJvbhzQf8GN7HGYW0k3+8FoS3HrWgEsGWGsYlIH1dekWTrQ27kvgfcrLWrTazlmbs3VrOzCPET8HCgKgjt/zorGJWpivYRkQHo7f/NpmHJrhhKSZkKjjikkvFj9ZEgAvET8AxgkO+Zws4KRmVKgZmZBCYifVtTk+XBh1egwI7G0kDJqEf5+QYr5joskbwRNwE/AJQA+3Sh7D64BHx/3KBEpG8rr0hy6vlzCd539w/ev5rnbjtcTc8iLcRNwBcBbwPX+55pNwn7ntkbuB54C7g48/BEpK8pr0iy1QGP8OIrLtnuuYvh+CMnKvmKtBJ3FPSpwEu41Y/u8T1zEUsvQwKYAGwOTAQqgVeA03yv9eXCEIT2vIwiFpG89uy072iq2i6a6eorfrHpYKAs12GJ5J24Cfgc3CjodEadGP2klxxsmWlHAqe1cQwTlVcCFulHyiuS/Pf9Odx653gMBaRMOYPGPMGP1zox16GJ5KW4CfhOtL6viLSydKarPSlMFVBSYjn+mCa2+dWJanoWaUfc5QgP7qE4RKQPczNdbUZxanUA9ttrCfv+do0cRyWS3+IOwhIR+YHyiiSvvVlAcdMvACgY8h8O3HNcjqMSyX9aD1hEMuZmurqZxvL9MYA3qYZ/Xr6pmp1FuiDT5QhXA44HtgJWBgYFoS1q8fhI4Fhcf/FFQWibux+qiOSb/74/h4Ylu1BACSlTzuEH1zNuzAq5DkukT4jdBO17Zlfgf7j1gNfCLc7wg+uMgtBWAFvgRk1rLmiRfqipyfLAw8tTYEd9P9PVxj9eKddhifQZsRKw75m1gXuAobiJNn4JLGqn+I24xLx7dwIUkfxTXpHklPPm8l40K/yhByR57rYj1fQsEkPcJuiTgUHAX4PQngLge6a95uUXottfZBibiOQhN9PVozRX/RaAvXc1/Onw1XIclUjfk+lyhJd3VjAI7UIgiesjFpF+ws10tS0AzQUhm246p5M9RKQtcRPw8kAiSq5d0YhbvEFE+rjyiiTPTPuM2+4ci4kGXQ0a82/WX1PfsUUyEbcJuhoo8z1TFIS2qaOCvmdG4aajnJ9hbCKSJ5bOdLWHZroSyZK4NeCPo3027kLZA3CDsIK4QYlIfnEzXf2CwtQkYOlMV0q+IpnLZD1gA1zge6bd2rPvmc1xSxda3KhpEenDFs5bkeKmzQAoGPJfzXQlkgVxm6BvAA7HLTn4mu+ZfwDFAL5n1gPWA3bDXXpUCLwO/F/WohWRXjf9/QSXXN0MFLDmGvX8/dJNVPMVyYK4izE0+p7ZFngc+Bk/bIr+X4vfDfAfYLcgtFo9SaSPmjE7weEnLIbmUVBQyaVnjWLcmOG5DkukX4g9E1YQ2nnApsCRwJu4kc4m+kkBbwN/AH4VhLa9STpEJM81N1tOP7/GJV8aqSu+l9kLZuc6LJF+I6O5oKMR0DcDN/ueKQRG45L54s5GR4tI/iuvSHLptRV88pmr7TYUP07ZyErW83TJkUi2dHs1pGihha5eFywiea68IsnWBz5IU+VuAGy/VRPbbbsJ63l7qe9XJIu0HKGI/MCLb3xHY+UOGKC54Fu23qqEX05eJ9dhifQ7HV1KdGC2ThKE9s5sHUtEek6y2nLnPeMxgKWSQaMf58drHZ/rsET6pY5qwLfjruPNBiVgkTy3qDzB8WdWM2vOYIqL4NijGtjhN8er2Vmkh3SUgF+l/QS8ATAi+n0WMAc3CnoFYJVoeyXwfrcjFJEeV16RZJupr9Bc/SsAjvmd4YDdvRxHJdK/tZuAg9BOaWu775m/4ibiuAW4KAjtN60enwicDhwBTA9Ce3K2ghWRnvHAEwtoqv4lBmgqnM5qq08AynIdlki/Fus6YN8zU4HjgUuD0B7ROvkCBKH9Ngjt74BLgBN8z+yXnVBFpCd8+GmC2+8eicGQMrMYPOZlXW4k0gviTsRxNG6yjYu7UPaSqOzRcYMSkd4xZ16CA/84j7q6QjBJTju+mWdvOk39viK9IG4CXheoCkJb1VnBqEwVbn5oEckz1lrOuiSJbRoPpKgv/j9WXrFEyVekl8RNwBYY4XtmfGcFozIjMwlKRHre3Q82ELw3BICG4qcZPmqhmp5FelHciTjexQ3Augw4uJOyl+FGRk+PH5aI9KSXXktw1T+bAcOWmxt+u9OG/GiN36r2K9KL4ibgy4ApwAG+Z1YELgXeCEJbC+B7ZhCwGXAK8BtcjfmyrEUrIt322ZcJTvhLAuxQTNF8Tjh6BSYsp5muRHpbrCboILTPAKdGd38NPAtU+Z5Z5HtmEZCItm0ZlTk1CO1z2QpWRLqnocFy6nl1YIeCqaW28F6+mqUVjkRyIZPlCC/HNUO/Em1Kr4Y0Ovod4EXccoR/zUKMIpIF5RVJjvvLd8yYWQJY6osfpGxkvfp9RXIk0+UIXwd+43tmFLAhMC56aCHwXhDaJVmKT0SyoLwiyVZT/01zYjsA9tujiU022ZL1vJXV7yuSI91aDSlKtC9lKRYR6SFPvjSPpsRW0QpHn/Czn43UCkciORa7CVpE+pbyJSnuvHschiJSZhGDxjzD+muq2Vkk17QesEg/tnBxgqNOrmXh4lIGDYITjkmx5WYnq9lZJA8oAYv0U26Fo7dI1fwMgFOPLWDXHdbIcVQikqYmaJF+6q6HFn6ffBuLXmPscrrcSCSfKAGL9EPhN83c9+BoAJoLvmbI6Dd1uZFInlETtEg/M3NOgqNObqCurojxY+G4Y4bw8w3+rH5fkTyTlwnY98zpwEaAD6wGzAhCO7GNcgbYH9gRmAxMABYB7wMXBqH9bxfPNwV4uZ2HnwxCu2OsJyCSI4vKE+x8yGfY+jWBJs45rYRNf7pWrsMSkTbkZQIGLgLKcYs/jOygXClwFy7h3g98A6wA/B54y/fMgUFo745x3huB11ptU8eZ9BlX31gRJV9oKP43zWZjQNf7iuSjfE3Ak4LQfg3ge+YjoL22syZgShDaaS03+p65CfgYuML3zL1BaFNdPO9bMRO2SN549uUETz49HICmwukMG/0Z63m75zgqEWlPXg7CSiffLpRrap18o+3zgWnA+Oiny3zPDI1WdRLpMz75PMGp51ZjMVA4lwtOH80zN56hfl+RPBa7Bux7Jp0cbRDaSd0t14NWAhqAihj7XAPcBuB75kvg78DfgtDarEcnkiX19ekVjgaDqaGu6D7GjNpXyVckz2XSBD0xuu0sKXW1XNb5ntke2Bi4KwhtXRd2aQQeB54C5uIGcx0GXA1sABzS1k7GmCOBIwFWWWWV7oYtEpu1louvrmXW7BIgRX3xA5SNbNQlRyJ9QCYJ+I4sl8sq3zNr4AZmzQFO7Mo+QWjfAHZudZybcAn5YN8zt0QrQP2AtfZG3MAtJk+erFqy9Lq7Hkzw2FPurXfEgYX8+Cdba4UjkT4idgIOQttmbTDTctnke2Y13FrEFtguCO3CTI8VhDble+ZiYBtge2CZBCySS2+8neDKvzcCRZjSz9lnt3UYM0ojnkX6irwchJUJ3zMTcdfyDgO2CkL7YRYO+210OzYLxxLJmvKKFGde2AAUQeFiasxDfPKVrpgT6Uvy9TKkWHzPrIpLviOALYPQvpelQ6dnrp+fpeOJdFtzs+X082pYUlEEpoG6onsZMaJQ/b4ifUyfT8BR8n0FGIWr+QYdlC0GJgE1QWhnttg+Jgjt4lZlS4FzortPZDlskYxdeNVi/hsUA3DWSaWMW3539fuK9EHtJmDfM2f10DmTQWiv7KiA75kDgFWju+OAEt8zZ0b3ZwShvSsqNxxX850IXAus5Xum9bx7z0fXBQOsCHyKu0Z4Sosyz/iemQsELB0FPRVXA742CO3bcZ+kSE+495EFPPJEKQBLGl7kJ+tvyqRV1e8r0hd1VAM+h565hGg+0GECxl0CtHmrbedHt9Nwo5wBxuDmigY4pp1jbUHnTcgPAbtExxgJVAPvAWcHob2vk31FesUHHye44u9u2EZN05d8l3yYp18fwh9X3TbHkYlIJjprgq4DHsji+Q7qSqEgtFO6WO5bwHT15O2VD0J7KXBpV48j0ts+/mIeB/wxQUFqPI3NFcxK3ERxcQHbbbZBrkMTkQx1loArs3k5ke+ZLiVgEVlq8ZIEe//+S4pSP8baZmqL7+N3+27CMftty6RVl891eCKSoX5zGZJIf3XlDfMpav4xAHOTD1Bc+h1n/WEPJV+RPq6jGvDxuL7QbOqJY4r0W6++leCpZ8YAUFn/NpWN07j2mD9qxLNIP9BuAg5Ce022T9YTxxTpr6Z/MI9jTm/C2OHUN8+hofRf/GjCKmz9i5/kOjQRyYI+fx2wSH+0YFGCQ46bR6FdjWZbS0PJ/Zx+2I7st8Nmqv2K9BPqAxbJQ+ddsZjClLvCbmblLRSVVCr5ivQzPVYD9j1jgJUBWs46JSIde/TJBK+/OQqARbXPUJv6iHPV7yvS7/RkE/Ro3GIGqR4+j0i/Me2t+ZxzmcFQSk3T59jBr/CjldTvK9If9UZi7PJEGSID2ZzvEhxzehUFjKcxtYSm0oc4/bCd1fQs0k+pD1gkD1hrOe2CSgrseFK2iW8rrqe4pF7JV6Qf67AG7HtmzW4ce2Q39hUZUG6+O8GHHw0HYEHtQzQyQ/2+Iv1cZ03Qn9EzCzKISOT+f83gupuHYyikquFtCoe8y49WVr+vSH/XlT5g9eGK9JDr73mDa/+5EsWFhdQ1zaFp0BOcfviuanoWGQA6S8CLcaOZjwReiHns0bj1dUWkDc+//iF/va6YYSUjaU7V8E3lP1h+fErJV2SA6CwBvwNsA6wYhHZGnAP7nklmHJXIAHD+leUMK9kAgJlVt9OUWsgjf7tIyVdkgOhsFPR0XBP0T3shFpEB419PJ6havAEAC6qfoarhPU4/chf8H03KbWAi0ms6S8DvRLeTezoQkYHig48TnH1pLQA1jV9QlXqKtVabwAkH75TjyESkN3XWBP0ysCu4qSWD0HZ5RHQQ2sXoOmORH6ittZxybi3YUjAJ7JCHueTofdXvKzIAdZiAg9AmgX/1Uiwi/Zq1lr9ckmD+/FKsbWZm4gZWm2iVfEUGKNVQRXrJQ4838MIrrhEpNfh5hpUt4vxj91LyFRmglIBFesEbbye45BrX71vVEPDlvH8xbnQZm2ywVo4jE5FcUQIW6WHfzExw9KlLaG421DfPY8jY5xg3aoRqvyIDXLsJ2PfMrb5nrszmyXrimCL5rLnZcsq5SUiNwNLAnOobqUpWssL4kar9igxwHQ3COhiYB5yQxfP1xDFF8tbfbkrwZTgEgLnVdzFxFcPFxx/BJhusqdqvyADXG+sBiwxIb/y3kTvvSwGGVMnbDDJfcvHxh7PDlI1yHZqI5IHOEvBo3zMv9UokIv3I3HkpTj+/BouhtukbZlTcybqTJqjZWUS+11kCLgGm9EIcIv1GQ4Pl+DMTVCXAUs3gMU8wrniYBl2JyA90lIAP6aFz1vbQcUXywlmXlPP5l0VYUsytuY0RpQs06EpEltFuAg5Ce0dvBiLSHzz4ryqeedH9W5XXP8Wwsrkcd9BOmu1KRJah64BFsiT8ppnLrm0GoLrxY+ZXP8mgQSVKviLSplgJ2PdM7FWRfM8cF3cfkb6musZy/BlJGhsLaEwtZk71rUxccRz//sepSr4i0qa4NeA3fM/8xfdMp/v5nlnR98yLwBWZhSbSN1hrOeOCBLPmgKWJ4hGPMWZUMVeddiCTVl0+1+GJSJ6Km4CLgXOA133PtLtyuO+Z/YAPgS2A6oyjE+kDbrk7wStvuEUWFtY9RLLhGw26EpFOxU3A+wOVwM+B933PHNHyQd8zI33P3A/cBYwE/gNsmIU4RfLSBx818Y9bU+5OyYcMGf4Rxx20A8/ceIaankWkQ7EScBDa+4D1gZeAocD1vmce9z0z3vfMVrha755AE/AXYLMgtF9lOWaRvFBekeKEvyRIpQz1zXP5fMHNlJUN0aArEemS2FNRBqGdA2wZDa66CNgB+BwYjkvonwJTg9C+l8U4RfJKc7Pl5LMTLC4voNnWMbf2ZkaPLNVkGyLSZRlfhhSE9mrg94AByqJjfQj4Sr7S311zY4Lgfff7gtp7qG2YS9mwIer3FZEuyygB+54xvmfOAG6KNqVnt/oR8C/fMxOyEZxIPnr2pQR33u/6fSsaXmFI2VdMWmU5XXIkIrHETsC+Z1YDXgfOw42KvhdYCTgKqAG2Aj70PbNXFuMUyQvzFqQ49/JGwEDhbIqGvsyJh+7EG/dcoEuORCSWuBNxHAq8D2yCGw29XxDaqUFoK4LQXg9sBLwNjALu8z1zt++ZEVmOWSQnGhstJ5yZoKamkKZUkrD8H5SVlWrQlYhkJG4N+GbcYKuXgR8Hob2/5YNBaL8EfoGrHTcD+wL/y0KcIjl31fV1fPI5WFKYYY8xamRKg65EJGNxE3A9cGIQ2t8EoZ3dVoEgtM1BaM8BNgNCXPO0SJ/2yJMJ7n2oAYDFdU/z5dw3GDe6TIOuRCRjcRPwxkFor+pKwSC0bwMbADfEDUokn3zwcYLzLnfjDKsbP2Xk+IBxo0ao9isi3RLrOuAgtB/GLF+LG5wl0ifV1llOObcWbCnWVDG35jbGlBZoqkkR6bbYE3GIDBTWWs65NMH8+aVY28zMxA1MWnU4Fx+/H5tssKZqvyLSLUrAIu147KlGnn3JLbKQGvwCwwoWc/Hxh7PDlI1yHJmI9AcZz4Ql0p999mUzF1/t+n0TDe/x5bzHNOhKRLJKNWCRVhJJywlnJmlogBSLGT7+BcZVatCViGSXasAiLVhr+fMFVcydB5ZGZlXfSLK2UoOuRCTrVAMWaeGehxp47S33uxnyLGNKqjnuoB0025WIZJ1qwCKRDz5q4qp/un7fyob/8NncJykbrvV9RaRnxKoB+555BLDASUFov+mZkER635KKFCedVU1zs6GuaQ4L6v6PMSOHq99XRHpM3CboHYHGILS790QwIrmQSllOOSfBwsVgqWde3S00NtVSNmyE+n1FpMfETcDzgLKeCEQkV669OcE777nf59Xey6iRdawwSOv7ikjPitsH/DIw3PfMOj0RjEhve/vdJm6/N+XulE5n+IivtL6viPSKuAn4EqAWuM73TGkPxCPSaxYsSnHqOdVYa6htmsHn8+/QoCsR6TVxm6Crgd8D/wA+8j1zHfAWsBC3/m+bgtDOzDhCkR7Q1GQ5/bwallRCilqKRz3G2OKhGnQlIr0mbgJuOfJ5deDKLuxj457H98zpwEaAD6wGzAhCO7GNcgbYHzc4bDIwAVgEvA9cGIT2vzHOOQK4ANgNGAN8BVwHXB+E1saJX/LfFf9IEHzg/qxzk7eTrPiMdSetrEFXItJr4iZgk8E5MtnnIqAceBcY2UG5UuAuXMK9H/cFYQVcLf0t3zMHBqG9u7OT+Z4pAZ4HNgSuBT4FtsPV9JcDzsngOUieevL5BPc97JLv4rrnWH7FBVRWaapJEeldcdcD7q2JOyYFof0awPfMR0B7n4pNwJQgtNNabvQ9cxPwMXCF75l7g9CmOjnf4cBPgWOD0F4bbbvJ98zDwJ99z9wWhHZGpk9G8sfceSku+GsjUIgtnMHCuscxiWGaalJEel1ezoSVTr5dKNfUOvlG2+cD04Dx0U9n9gNqgJtabb8aKAb27ko8kt8aGy0nnJmgtq6QplSCr8r/yZoTl+OfZx/BMzeeodqviPSq/jwX9EpAA1DRUSHfMwW4/uZ3g9DWtXr4bSCFqx1LH3fV9XV89iVYUphhjzGqEC4+fl+t7ysiOZFxAvY9sxGwFbAyMDgI7WEtHisBlgdsENpZ3Y4yfmzbAxsDd7WRVFsbBQwG5rR+IAhtve+ZxcCK2Y9SetML0xq596EGABbXPc2iijc16EpEcip2AvY9Mw64E9g62mRwI50Pa1GsAHd50nK+Z9YNQvtFdwONEd8auIFZc4ATu7DLkOi2vp3H61qU+QFjzJHAkQCrrLJKvECl18yc3czZl9QA0GS+Yuzy72O0vq+I5FisPmDfM0OAF4BtgO+AW3HXBv9AVOv8Z3T8PbofZpfjWw14EfeFYLsgtAu7sFtNdNvexCKDWpT5AWvtjdbaydbayePGjYsdr/S8+nrLCWcmqa6BFAlmJm4mWVurQVciknNxB2H9EVgf+A+wXhDaI4BkO2UfiW63yzC2WHzPTMRNlTkM2CoI7Ydd3HUJbnavZZqZo9m+xtBG87T0DZdfV0f4jev3LRj+KONHF3LcQTto0JWI5FzcBLwXrnb5pyC0lZ2U/RRoBHq8muF7ZlVc8h2BS77vdXXf6BKld4EN25hec2PcazQ9W7FK73n6hQYeetz1+y6sfZzPZr2lqSZFJG/ETcBr4kYWd5qQotmjquh4Io1ui5LvK7jBVFsHoQ06KFvse2Zt3zOtO2zvw/XzHtlq+3G4a40fyFrA0iu+mdHMuZfXApBo+IiKxhe0vq+I5JW4g7AKgeauTM3oe6YQGE4bfcRd2PcAYNXo7jigxPfMmdH9GUFo74rKDcfVfCfiZrBay/dM6xr389F1weCamT/FXSM8pUWZm4BDgCujpuxPge2BXYELgtC2nIJT8lxtneWEvySpq4MUFSyov5OmpibKhg1Rv6+I5I24CXgWsIbvmZWC0M7upOwUoAToal9sS4cBm7fadn50Ow03yhlc/+xq0e/HtHOsLYD57TwGQBDaBt8zW+Lmgt6XpXNBHwP8PVbkknPnXZ7gmxlgaWZO9S2MHVXEIK3vKyJ5Jm4Cfh5YA/gDcEZ7hXzPDAYuw/UXPxU3qCC0U7pY7ltizDXdUfkgtBW4QWZ/7OrxJP88/kwDT7/gGmjM4JcYVbKE4w7eSf2+IpJ34vYB/xV3vezJvmeObT1oyfdMge+ZbXGjpDcEKnFNwyI9Lvy6mQuviPp9Gz/gs+8e0aArEclbsRJwtCDBVFzN9ipgMa65Ft8z03GX9DyJu1SpHtg3CO2ibAYs0paaGsvJZ9dQ3wDNLGHwmGcYN0qTbYhI/oq9GEMQ2keAzXAzXQ3BNWMb3HzKw6Pf/wNsFoT22eyFKtI2ay0XXlnLNzNTQDOzEjcSzvyWcaPLNOhKRPJWRnNBB6F9B9jM98zqwKa4NXgLcIOd3gpC+3n2QhTp2KNPNvLk840A1Bc+zcRVGllcodqviOS3bq2GFC0b2KWlA0V6whdfNXPx1TWAodF8xMyKZ1ihaKSmmhSRvBcrAfueOQtIBqG9sovljwVGBqE9L5PgRDpSXePmeW5sNDQ0L2RWze2MH1XGcQftoIFXIpL34vYBnwOcFKP88cDZMc8h0ilrLef/tZbZc8HSxHe1t1DfmGTQoBIlXxHpE2IPwhLJBw8/0cAzL7p+3/k1D1HT+C0TVxyvyTZEpM/oVh9wF4ylnaX8RDL12ZfNXPq3OgAaCz5k+QkhxZUjueq0A5m06vI5jk5EpGt6JAH7nhmBm1t5KPBBT5xDBqZkteXEvyRpbIQUi5lZeQfLFQ/SoCsR6XM6TMC+Z84Gzmq1eTnfM81dPL4F7skkMJHW0v2+c75z/b4FZY+wXMkgDboSkT6pKzXglnMnW7o+9/Jc4GbgirhBibTlwX818OxL6X7fB6moeJd1J62s5CsifVJnCfhq4Pbod4O75nchbqH69qSAqiC0ld0NTiTtsy+aufxa1+9bWf8OVU2va31fEenTOkzAURL9PpH6nnkVWBTNCS3SK5LVlpPPqaGxCZpYxML6+2lqatb6viLSp8UahNXVZQJFsiXd7ztrTgpoYlbiRhqbq3XJkYj0eRmPgvY9UwT4wMrAkCC0d2YtKpHIQ48v7fetK3qS1VZJsbhClxyJSN+XUQL2PXMqcDIwqsXmO1s8PhJ4AygFfq4lCSUTn33RzGXXpq/3/R+zljzPCoWa51lE+ofYM2H5nrkHuAiXfL8GmlqXCUJbAbwCrAbs2q0IZUD6vt+3EZpZRPGIZ1hhzEiOO2gHnrnxDDU9i0ifFysB+57ZB9gX+A7YJAjtGkB5O8XvxY2c3rlbEcqA07Lf19LEzMQNfPbNN5QNH6JLjkSk34hbAz4Mdy3wn4LQvt1J2em4S5J+nElgMnA9/MTSft951Q/QaOfqkiMR6XfiJuANcUn1ic4KBqGtx13CNC6DuGSAajnPc4P5H8nmN3TJkYj0S3EHYQ0DqoPQNnSxfCnQ1WkrZYCrrrGcdNbSeZ5nVd3J+NEjGDSoWJcciUi/E7cGvBAY7numrLOCvmfWA4YAszMJTAaW1uv7FpQ9wnJjBnHioTvxxj0X6JIjEel34ibgN6LbfbpQ9ixcf/HLMc8hA9Aj/278wfq+n818V4OuRKRfi5uAr8WNbD7P94zfVgHfM6N8z9wM7IlLwNd1L0Tp7774qpnL/lYLQAP/Y+zynzNu1AgNuhKRfi3uVJRv+J65HDcJx5u+Z14HygB8z/wVWBfYHBgU7XJWENqPsxiv9DM1NZZTzqmhvgEoWMK35beTqqhl3Ukra9CViPRrsSfiCEJ7KnA8UA9sAQzG1YqPB7aN7tcAxwahvSh7oUp/Y63lwitr+XZmioKCFDWF97HmaqNV+xWRASGjqSiD0F7je+Z2YHdgU2AFXDKfD7wFPBiEtr0JOkQA+NfTjTz5vOv3reZJ5pR/wgoFmmpSRAaGjBdjiJYqvDX6EYkl/KaZi69y/b5VDe8xv/5Zxo8q47iDdtDAKxEZEDJOwCKZqq1d2u/bTDkL6u6hsamJQYNKlHxFZMCI3Qcs0l2X/q2Wr79NAc3MStxMY3NS6/uKyICT6XKE2wJ7AD/CrYpU3EFxG4R2Uibnkf7nyecaeOwp1+9bX/gcE1dp0Pq+IjIgxUrAvmcGAQ8AO0SbTBd2s3GDkv7p25nNnH+F6/dtMp8xs+JJVijSoCsRGZji1oDPAXbErQF8J/AibuSz5nuWDtXVu37fujpopoKiEU+yQvFIDboSkQErbgLeD1ej/V0Q2tt6IB7pp664ro4vvkphSTE7cTO1FV+x7qSVlXxFZMCKOwhrLNAA3NUDsUg/9exLDTz4uFtAa0HNv6i332h9XxEZ8OIm4FlAYxDapp4IRvqfWXOaOfcy1+/baL6gqulFre8rIkL8BPwQMNT3zCY9EYz0Lw0NlhP/kqSmFlIkmJW4lfGjy5i0ynK65EhEBry4CfhS4BPgFt8zq/VAPNKPXHNjHV98BZYUBcMfY/zoIq3vKyISibsaUpXvmS2A64FPfc88CHwEfNfJfndmHqL0Ra+80cg9D7p+38V1T7Oo4k0NuhIRaSGTiTjWBFYGSnCjortCCXgA+W5+irMurgGgka8YOT7AJLTCkYhIS3En4vg58AJQirsc6UtgAboOWCKNTZaTzkpQlQBrqplRcTNNFRVa31dEpJW4NeDzgEHAm8C+QWhnZT8k6cuu/EeCjz9zv89O3MbEVQZRWaXar4hIa3EHYf0UV/PdT8lXWnvz7Ubue9jNPJoqeYPqpk+oStRqqkkRkTbErQGngKogtDN7IhjpuxYuTvHn812/b23T18youJc1J67AxcfvxyYbrKnar4hIK3FrwO8Bw3zPlPVEMNI3NTdbzrighooqSFFL8ajHGTdqOBcfvy87TNlIyVdEpA1xE/Dl0T4n9UAs0kfdcnc9b7/rxuHNrb6LcNbnjBtdpmZnEZEOxErAQWifBf4InOx75mbfM17PhCV9RfBBE9ffXg9AQ8F/WGmlBYwbpUFXIiKdiXsZ0tfRr83AIcAhvmfqcEsStscGoZ2UYXySx5ZUpDj13GpSKWhmLjMr72f54mEadCUi0gVxB2FNbGPb4Ha2p9mY55A+wFrL2ZfUsmgxWOopHPEYy5cM0/q+IiJdFDcBb9EjUUifc/eDDbz6llsU67vqe6mq+FBTTYqIxBB3LuhpPRWI9B0ff9bENTfUAVBR/ybJ5ula31dEJKa4o6BlgEskLSedVU1TEzSzkEX1D2l9XxGRDGSyGIMMUNZazro4wXfzwdLE7OqbGDd6EIMGDdf6viIiMWWcgH3PrApsAkwAhgKmvbJBaM/L9DySPx59spGXX3dj6syQ5xhTUsNxB++kfl8RkQzETsC+ZyYANwDbd6G4wY2CVgLu48JvmrnkmhrAUNXwLnMrntCgKxGRboh7HfAIYBqwOrAItyrSzkAt8DCwHPBzYHj0+JPZDFZyo7bOctJZSRoaDA3Ni1lQd68GXYmIdFPcQVjHA5OAd4C1gtDuGm2vDEJ7YBDabYAVgEuAsUBTENpDshat5MQFVyT4diZYmplfdysNTUkNuhIR6aa4TdC/xTUpnxyEtqKtAkFoa4A/+54pBk7wPfNKENp74pzE98zpwEaAD6wGzAhCO7GdshsDU6OyP8H1Rx8ShPb2GOebArzczsNPBqHdsavH6m8efqKKJ59z/b6L65+gbMQSxg9aToOuRES6KW4CnoRbkvDNVttL2ih7KXACcAQQKwEDFwHlwLvAyE7Kbg8cDXwGfABsGvNcLd0IvNZq2+xuHK9Pmz03xWXXNgGFUPQVg4oDjjtEg65ERLIhbgIuwq0H3NxiWzVQ5nvGBKH9ftrJILSLfM9UAOtnENekILRfA/ie+Qjo6NP+n8DlQWirfc/sQfcS8FtBaO/uxv79RmOj5fgzKqmvL6QpVck3i29grdVHKvmKiGRJ3D7gOcBI3zMta7yzgULgBx2CvmcG42qvQ+IGlU6+XSw7PwhtddxztMf3zFDfM4Oydby+6q9/T/Dl1wVYm2Je7R2MHIEGXYmIZFHcBPxFdLt6i21vRbe/b1X2ONxlSF/FDytnrgGSQK3vmS98z/zJ90y71zf3V8+8lOD/HnWNGUsanqOq/hMNuhIRybK4TdBP4vpcdwUujrb9EzgIOMb3zBrA+7hm5x1wA7buyEqkPasReBx4CpiLm1zkMOBqYAPc0ovLMMYcCRwJsMoqq/RCmD3vy68TnHZeAhhKbfNXFA55nUljNOhKRCTb4ibgR4Ff06JPNgjtO75nTsVderQdsC1LZ8V6BLgiC3H2qCC0b+CuZ/6e75mbcAn5YN8ztwShfb31ftbaG3EDt5g8eXKfX3axudly6nlJsEPB1JIa9CgnHqLlBUVEekLc1ZDmAXu2sf2vvmeeAnYHVgIqgeeD0D6flShzIAhtyvfMxcA2uFr/Mgm4v7niH4v5+hvXZT87eSerrNKg5Csi0kOythhDENpPgE+ydbw88W10OzaXQfSGV99KcM9DhRigouFVSod+xfnHHqnkKyLSQ+JORfkurl93zzgjlfuwNaLb+TmNoodVJSx/ubgeQzH1zbP5LvkAq68yVoOuRER6UNwa8LpAQ19NvtHsXJOAmiC0M1tsHxOEdnGrsqXAOdHdJ3otyF5mreWMC6uorCwmZeuZnbyZVVccrUFXIiI9LG4CngOM74lAWvI9cwCwanR3HFDie+bM6P6MILR3tSi7KnBAdHe96HYn3zMrRb/fFYR2RvT7isCnuAUlprQ45TO+Z+YCAUtHQU/F1YCvDUL7draeW7654/4Er0UXkhUMfY6RBXVcddrhTFp1+dwGJiLSz8VNwM8Cv/M987MgtP/tiYAihwGbt9p2fnQ7DbirxfbVWjyWtlv0A27w1Aw69hCwC3AMbvKQauA94OwgtPfFiLtPeen1+Vx1fSGGYhKN0zFN/2WF8SPV9Cwi0guMtV2/eiZaC/h9XE14qyC0i3oorj5n8uTJdvr06bkOo8vmzk+w7d7zKbDjaEgtorb475x42NYa9SwikkXGmMBaO7mtx+LWgD3gDNy1vZ/7nrkTNxPWQqC5vZ2C0L4a8zzSw866tIICOw5rm5mduJkVV7RKviIivShuAn4FNwoa3GQbx0Y/HbEZnEd60CNPJpgelAGwoPYxll++hn//43QlXxGRXhQ3Mc5kaQKWPujjzxNccnUDUARFX1E0ZDpXnXaYBl2JiPSyuDNhTeyhOKQXfP7VPPb9/SIKUivTlKqivuABVlhuhAZdiYjkgJqGB4jyiiS7/+4dilK/AqC+6CH+dPAU9fuKiORI3OUIpY+6+5FZFDZuBsCi2mcoGjJTyVdEJIeUgAeAr2ckuPXOMgwF1DZ9w5BR/9FMVyIiOZZRE3Q0y9QhwC9ws0YNZekShK3ZILSTMgtPumtReYI/nbEY7CigjrqiB/nH6VM16EpEJMdiJ2DfM/vj1sAdRAdJt8VjGjWdI1/NmMfOh0+jqGFbAOqK/sVyY1IadCUikgdiNUH7ntkIuA0YHN3uGj1UDmwJ7B9tbwAW4eZT/nW2gpWuK69IstPv7qCwfksAGsx0/njoKjxz4xlqehYRyQNxa8AnRPtcFYT2RADfM+BWSHopKnOf75mrgeeAC4CNshOqxPHKf7+koHZ3jCmivnkelD3LfjucpeQrIpIn4g7C2gzXpHxVq+0/aIoOQvshcDQwETgt0+AkvvKKJE++EnDu5QmKGEfKNpEa8gj//ucJSr4iInkkbg14OaAuCO3sFtuacU3SrT2Oa4reBSXhXlFekWTbIy9k8fyJDGcfAGrNU1z956016EpEJM/ErQEngVSrbZXAcN8zQ1puDELbBNQDK2censTx1vtfsGBBAcOirvkGPmXk+E806EpEJA/FTcBzgCG+Z0a12PZ5dLtpy4K+ZyYBw4HGzMOTriqvSHLmNQ9Q2rgXhlKsSXDOKYN49iYNuhIRyUdxE/A70e2PW2x7BtcHfJHvmeUBfM+MBW7C9Rf/p7tBSufeev8Laso3YXDRRCyWww6sYq8dNlDyFRHJU3ET8GO4ZHtAi23XAQsAH5jpe2YOMA+YgmuuvrDbUUq70oOuTr/sLQYzBQAz+E2m7rZKbgMTEZEOxR2E9RywE64vGIAgtEt8z/wad/3vT4EVoodmA8cGoX0tG4HKstKDrubNb6QsdSwFBdDITC4+eTnVfEVE8lzc5QgbgSfb2P4J8DPfMysDK+EGZn0ahFazYPWgt97/gnkLKhlZdCgFTSNIUceQsU+ymf/HXIcmIiKdyOpyhEFoZwGzsnlMadtXM+Zx/CV30FizEQWD1wBgnz0q+f0Bf1TtV0SkD9B6wH1QeUWSHY+6hHnzSlmtzF1ytNEGVfz5mDVzHJmIiHRVxgnY98ymwB64qSbHRZsXAu8CDwahfav74Ulr5RVJ7n3ydepqDSsNOxxjikiZxZx/2rjOdxYRkbyRyWpIywF3AFtFm1pOQ7kO8EvgT75nngMODkI7v9tRCuCanXc86lLq6hqgdkdKSpbD0swV5w5lxRWG5zo8ERGJIVYC9j1TBrwGTMIl3jeBabgJOgxuBPTmuHWCtwam+Z75aRDaRDaDHojSzc5fzZzPqME/ZYXBbt6Tow4tYqvNR+c4OhERiStuDfgvgIdrat47CO0rbRXyPfMr4EFgDeBM4NRuxCi4Ec9VyVoGFY9jfOm+APx0QzjiANV8RUT6orgTceyOm93q8PaSL0AQ2leBw3G14j0yjk6WTrRx1b0srqhh+cEHU1gwhBFllkvOGk5Bgen8ICIiknfi1oBXwK2G9EQXyv4bqAUmxI5KgKUTbXy3oIKFSypZc7l9KKifBMDFfxnKmNFxvz+JiEi+iPsJvhBo6krBaBKO5mgfycBb73/BvIUVjCgbzODCNTD1vwRgj9/CphsX5zg6ERHpjrgJ+DlgmO+ZTTorGJUZBjybSWADXXqijQXllXw9s4pVyg7HUIC3OpxyTFmuwxMRkW6Km4DPBRYDt/ueWa29Qr5nJuLmhl4Q7SMxpEc8fztnAQUFBaw64mCMLWPwILjivGGUlKjfV0Skr4vbB7wacDrwV+Aj3zMPAK/gLkMC19+7ObA30ACcBKzue2b11geKBmpJG9IjnouKChlWuAmlrA/AqX8azKorF+Y4OhERyYa4CfgV3ChocCOcD4x+WjPAYNyawG2xGZy73yuvSPLW+59z+lX3sbgiSbEZzwpD9wZgqylF7Lyd+n1FRPqLuElwJksTsGRR6xHP3iorQtWhGIpZfjnDX04agjFqehYR6S/iLkc4sYfiGPA+DmdRWVXDmJHDWLikiqaqKQxiAgUGLv7LEMqGK/mKiPQnupA0T6znrcyIsiHU1jWwzsq/YhCbAXDkQaVsuL5a60VE+ht9sueJ0SOH8cyNZ/DWu3O47KrlqQQ2+FEhhx9QmuvQRESkB6gGnEdGlg3liSdXpLIKhg2Fi/4yhKIiNT2LiPRHSsB55J4HG/jP9GYA/nLSYCYsrz+PiEh/pU/4PDFjdjPX3FgHwM7bFbPNr0tyHJGIiPQkJeA8scqKBZxyzCDWnFTAqccOznU4IiLSwzQIK08YY9hrl1J236mEwkL1+4qI9HeqAecZJV8RkYFBCVhERCQHlIBFRERyQAlYREQkB5SARUREckAJWEREJAeUgEVERHJACVhERCQHlIBFRERyQAlYREQkB5SARUREckAJWEREJAeUgEVERHJACVhERCQHlIBFRERyQAlYREQkB5SARUREckAJWEREJAeUgEVERHJACVhERCQHlIBFRERywFhrcx1Dv2CMWQjMyHUcGRoLLMp1EHlMr0/H9Pp0Tq9Rx/rz67OqtXZcWw8oAQvGmOnW2sm5jiNf6fXpmF6fzuk16thAfX3UBC0iIpIDSsAiIiI5oAQsADfmOoA8p9enY3p9OqfXqGMD8vVRH7CIiEgOqAYsIiKSA0rAIiIiOVCU6wAGOt8zawFnARsBE4BiYCbwFHB5ENrv2ih/KbA5UAK8C5wdhPalNo5dAPwJ+B0wEVgIPACcFYS2up1Ycn7szvieGQJ8HJ3370Fo/5iPz6O3XiPfM+31I1UHoR2Wj/H39vvH98xo4M/ALsBKQAL4KDrfa/n2HHrz9fE9cw5wdgdFmoLQFufb88jlZ1C2qAaceysBKwCPAqcDxwHPA0cCge+Z8emCvmcmAW8CmwCXAScDw4Bnfc9s2caxrwKuBD4BjgEeBI4FnojevN/Ls2N35jzchfvLyLPn0Zuv0WvAAa1+Dsvj+HvttfE9syoQAAcBDwFHARcB3wIr5ulz6M33ziMs+945ALg8evyJPH0eufwMygoNwspTvmf2xH2bOzUI7WXRtgeA3QE/CO370bZhuNpgHbB2ELo/qO+Z9YAPgUeD0O7e4rjHAH8D9g9Ce2+L7Xlx7C68LhsBbwOnAFfQqgacL8+jN1+jqAZ8RxDagzt57fIi/t5+//ieeQ1XQ9q4dYuSXp/2+Z65AVcR2DEI7ZP59Dzy5TXqLtWA81d6WstRAL5nhgK/BV5Jv4EAgtAmgZuBNYGftth/X8AAV7c67k1ADTA1vSHPjt0u3zOF0TmewX1rb/14Pj2PXn+NfM+URB8qbT2WT/H32mvje+ZXwGbAZUFov/M9U+y7LozW5fLpOeTk/6ul6DXaB5iD+3/Lt+eR89coG5SA84TvmUG+Z8b6nlnJ98zWwA3RQ09Ftz8GSoG32tj9P9FtyzfRT4EUrrb4vSC0dcD7rcrm07E7cjywNvDHdh7Pp+fR26/RHrgPnoTvmQW+Z671PTMiT+Pvzddm++h2pu+ZJ4BaoNr3zBe+Z6a2KJdPzyFX/18t7QWUAbcFoW3O8Fz9/TXqNiXg/HE4bhDBLOBZYCQwtcUAkQnR7Zw29k1vW7HFtgnAoiC09e2UH+t7piQPj90m3zOrAecC5wWh/badYvn0PHrzNXobOAeXhA8CXsJ9SXmtRY04n+Lvzddmrej2JmA07vU5DGgA7vI9c0gePode//9qw2GABW5tFVecc/X316jbNAo6fzwGfIYbGLAhrslkXIvH081mbb3h6lqVSf/eVtnW5Rvy7Njt+SfwDW7QRXvy6Xn02msUhPZnrTbd6Xvmf8CFuFGiF2Zwjn7x2gDDo9sEsEUQ2gYA3zOPAl8DF/meuSPPnkMu/r++57vRwpsBLwah/aZVXHHO1W9fo2xRDThPBKGdHYT2hSC0jwWhPRv3Tf1S3zOnR0VqotvSNnYf1KpM+ve2yrZVPp+OvYyoqXBr4PdBaBs7KJpPz6NXX6M2XI778Nkhw3P0l9emNrq9L518AYLQLgEeB5bH1ZLz6Tnk+r2THj1/c6vt+fQ8cv0aZYUScJ4KQvs/4D3cJRMAc6PbtppK0ttaNrHMxTXDtPWmWxHXfNPQomy+HPsHonNciesLn+d7xvM94wGrRkVGRNtG5tnz6LXXqC3RF5W5LL1cK5/i783XZnZ0O6+Nx9IjokdlcJ7+8vr8gO+ZIuBAoBx3aWRL+fQ8cvr/lS1KwPltMK7fCtyQ+3rcdWyt/Ty6nd5i2zu4v+/GLQv6nhkEbNCqbD4du7XBuKb4HYAvW/y8Ej0+Nbp/eJ49j958jZYRnWclYH6G5+gvr016kM5KbTyW3rYgg/P0l9entZ2A5YC72uhfzafnkdP/r2xRAs4x3zPLt7N9C+BHRKP0oiHzTwBTfM/8pEW5Ybjk8yU/HBH4f7hBFMe1OvQRuP6Oe9Ib8uzYrVUDe7bxk24ZeCa6/3iePY9eeY18z4xpaztwPm6MxxN5GH9vvn8ew/X/Tm15iZbvmRVws2J9GYQ2zLPn0JuvT2vp5udbWj+QZ88jl69R1mgijhyLBoOsgBu5OgPXJ+HjrsGrAaa0uHDcw71RGnGzwFTh3nDrAzsEoX221bGvxY2GfRTXhLsObqaYN4BfB6FNtSibN8fu4us2ETcoq/VEHHnzPHrjNfI9cxXuW/zLuClMh+EuvdkC+C9u4FFtvsXfm+8f3zNH4i7r+xg3qrcE+APu/27HILTP5dtzyMX/l++ZCbj3UNDGwL68ex65/gzKBiXgHPM9sxduwNWPcU2tFpeIn8fNBT2zVfl1gEv44Xym5wShfaGNYxfiviEeiZsJaBHum+NZ0bfC1uXz4thd0V4Czqfn0Ruvke+ZnXGtAT8CxgDNuG/0DwBXRtdF5l38vf3+8T2zG272tPVx14++BZwbhPaNfHwOufj/8j3zZ9yI+SOD0N7UQbm8eB65/gzKBiVgERGRHFAfsIiISA4oAYuIiOSAErCIiEgOKAGLiIjkgBKwiIhIDigBi4iI5IASsIiISA5oOUIR+QHfMwcDt7XafEcQ2oOzeI7jcDMStXRuENpzsniOc4CzyXLsItmiBCwSU7Ty0nEA2UwYeagRtyoOQGV7haL5zE8HdsStLlOJm/bv6iC0L7azWzVLF4oYwdJl4SQLopniDgYqgtBendNgepnvmV1wCzK8EoT2lZwG0wklYJH4RuJqVgDn5C6MHvdmENopHRXwPfNj3Dzm6UUhqnBLIO4I7OB75s9BaC9pvV801eFN0TFux03Hmm2LgM9ZuuzgQDIR9x6dAVyd00h63y4sfT+9krswOqc+YBHJiO+ZwbhF7cfg1q7+URDaEbj1da8ADHCx75mtcxFfENrrgtCuHYT29FycX6QzSsAikqnfAasCSWCnILQfAwShrQpCexJuKUCAi3MTnkh+UxN0P+B75lvcB+EWwNfAWcA2uNWVvgMeBs4PQrtMP57vmRJgK1yzzca4PrxhuP6513Er6gRdOO+XwBnAttExPg1Cu0FULr326o7AmtHjTcBXuBrUVUFoK9o4/hTcMnszgtBO9D2zDXAysBHuy+M7uJVP3orKj8CteLMnsDKuCfJe3IontR28fpvhljXbLHrNkrga3S3A/UG4dMUS3zOv4FZTSd9vvZrJMgOJov64E4Gto7iagS9wKxZdF4S2uo2Y0sddDRgMnAb8GlgeeDII7S7tPZ9o/x/j+mFLgSOC0N7cRpl9ca9PE/CLILRx10TdP7q9NwjtnDYevxz3d9/I98zaQWg/i3n8buloEFar1zcF/AXYDvf3n4v7nzkvCG1Vi31WxjXpGmD9ILQftXPeUmABUAbsHIT28VaPjwNOwP0/rBYd7xvgX8AVQWjLaSX6P/0DsDewLjAU1z8/D/d/eneL/4Nvcf+XAKu28R49JAjt7a3KboFrrj8b2AHXjfAtcCNwTXppP98ze+KW/Fsf9z/4GnBqe69FN55vy7j+B5wJ7ApMwP1fP4X73/+uxT5TcJ8XaWf7njm7xX2C0Jr24swF1YD7Fw+YjltUeyRuacOJuA//6VEibG1r4N+4hal/jPuwt8AqwH7Af3zPHNDJedcE3sd9QCyHG7zT0rXAP3Dr1HpAPe4DZAPcl4XpvmdW6ugEvmeOAp7G/UMW4gbubAm85Htms+if/HXgz7h/0gJgJVxCfrCD416K+xDZG/fFoB732v0Gl5zu9T3T8v+kHPcBkDa/1c8PlkGLlsH7FJfg14w2l+C+RFwCvOV7ZrkOnvovcX/TA6Pn3NRB2e8Fof0f7gsRwFW+Zya1imsl3N8E4MK4ydf3zHDcutUA7a2l+h+WDt76dZzjtzjP7b5nbPSB3BN+gvuydTguYRaw9H/mRd8zxemCQWhn4d5j4P432rNDdKwlwDMtH4i+7H2G+0L1I6AYl5DWw7133/c9s1arfYqA53B9uZtEx07imv5/jFuO8k8tdlkYnRvcl4vW79G2voyuhlue73fR8YuBtYErgWuiOC7BfWncBPc6Dcf9T7/me2aNtl6ITJ5vKytFcR0PjMd9Nk3A/b3e9D0zqkXZhuj5pZfgTA/0a/mTV5SA+5e/4j7wfhmEdjguye2CSxgecEcb+yRxl5z8BhgbhHZoENrBuG+fV+NaSW70PbNKB+e9AlfT/kW0/zBgjxaPf4n7BrseMDgI7SjcqNcpuFrsJNyC6e0Zh7tk5WJgTNTPuBpuTddBuA+J63H/3L/EfTAMx/2TNuEGA23f+qC+Z/6ES9ALcR9io4LQluFet72i57QPcGp6nyC0uwE/bXF/+VY/f21x/J8C90dxXYp7TYcCQ4CfA//F1STu7OC5/yN6jdaPYhuCSw5dcSWuRjAMuDtaPxXfMwa4HfdF423ggi4er6V1cB+k4Ba6X0ZUa/o8urtuBufoDbfjvjymX99huC+w9cBk3KLtLd0b3e7TwTH3jW4fCkLbkN7oe2ZV4AlgNHAzLsENxr0nfoRL1isDj6T/VpH9cK0uNcABwJDof6gU9576I/BBunAQ2p8Cu0V3Z7XxHv2/NmK+Clcr/Un0/1WGaxUAODpaK/gE3Oj/EdFrtT7u7zsSt47wD3Tj+bZ0Le7LxKZBaIfi/j47AxW4L0rf9+8HoX0zCO3yuDWBAf7a+rm3c46cURN0/1IKbBeENoTvPwD/5XumCjdSdSvfM5sFoU1/iycapv9K6wMFoZ0JHO97pgw4FDgEOLed8zYBWwWhnd9i/7DF78sMgglC2whM8z2zLe4b8va+Z1YLQvtNG8cfAtwehPaMFvt/63tmH1wz2U9xtel1W5y3AbjF98ymUfx74JqtgO8vJbogin3HljXAaBH7B33PzALeBE72PXNFyw/TLroKl3xPCELb8prXZuC/vme2Az4CtvY9MzkI7fQ2jrEA9zetjWKzuKb7TgWhtb5nDsI14f0cV+M4H1db+g3RB3oQ2i7Vqltp2Zoyt4Ny6cfaan3JB3OA7YPQ1gNEt7f6ntkQl9j2YGlLAbjWlL8Bq/me2STd7JsWtQzsEN29lx+6EJes/haE9k+tHvvY98zOuC9EP8E1tz4UPfbz6PbOILR3p3cIQtsMzAT+HusZty2Fex0qomPXABf4ntkC13pxIXB2ENprWpz/I98zRwCvAr/1PVPS6n8k0+fbUj2wZRDaxdE5m4DHfc9cgKtw7IH7Et0nqQbcvzzQMvGlBaF9GZdI4Ic10654Irr9RQdl7myZfOOI+n/SsW3SQdFlBvJEXxK+jO4+2NZzB9LXof6o1fbdcd+mX2+v+TUI7X9wfeqjWNrc2iVRk+8vcM1917dz/CW4ZnVw/fBtua6j/uvORM2mR0V3z4oScvq1PDEI7RcZHnpoi987iq8muh2WyUmC0B4chNYEoZ2Yyf5dcGU6+bbyWHT7g/dNlAiei+7uy7J2wdXy5uASE/D9iPE90+dsK5AoeaWTUMv3Q7ofuie/xFzf1jgM4IXotoG2434D1+RbimtlA7r9fFu6MZ18W3ksul3N98zQNh7vE1QD7l9e6eCxacCmuL7HH/A9Mxo4GjcIZS1cX2PrJqEJHRz7rQ4eS59jY+D3UQwr8cMP8M7OUcfSRNvaAlzfanuDQNJfDEa12r5pdPsz3zPz2tkXXPMZuKayTp9nG8cvAb7xvXbHfqQT08rtPB7nnG0KQnuf75mdcAnj9mjzU0Fo2/xi0EV5NZilG95pZ3t6UFnr9w24mu0OwF6+Z46PaqJp6b7h+9MDlyKTce8FcK0f7cUzOLpt+X54GtcNsrPvmcdxf8Np7SSmTH3YzvYF0e23QWiTrR8MQpvyPbMI9z/d8rXqzvNtqbO/D7ha9jIDGfsCJeD+pa2RqK0fG9dyo++ZdXHN0y0HAiVwtRqL+ycaRdsJM21hR0H5njkJuIylH9rNuH6ddHNVeiak9s4xv+VI5FbSH37tTbaQfry41fZ0bWIwSz8EOjKkC2XaOn4hP3xt4x6/w9c2hqNxfWdDcDWqw7p5vJYfxoNx75m2pJ/XMh/eeaK9uNMDedr6jPwX7gN/OVzz7PMAvmfG4gYGwrLNzy1rr7HeD0Fop/meOQs3YHGn6AffM58BTwI3BKFt7wtqV3X2/9PRZCZt/Y9l/HxbafPvE4S2rkVSb/2/3WcoAQ8c7X0FvQ33D/Iuro/wjZbfdH3P/AbXDNVRjae5vQd8z6yHG4BkgOuAfwKft6w1+J65C5jayTmyLd39clUQ2hN68PjvBaFdptUhhnZf25j2ZumH3HBcv1tHNf/OtOz3ncDSwVatpVs1+s1sVEFoq6Oa6L64Gu/z0UN74j5TPw9C+26r3dLvhyVBaEcTUxDa833P3I37O07BddesHf38yffMYUFoOxrM19u69XwHCvUB9y8dNROnv5F+X6OKRjZvjPuQ/20Q2mfbaGbqyrfXjuyOe589G4T2mCC0n7RqssvGOTKRbpruqdG56eOvEV1GkjPRJSLp0dkf4b7o3Bp1PWTqM1wLCbjR7W2dtwDXpQHwSTfOlY/SNdxdo+t+YWmfcOvaL7ToConmzo4tCO03QWgvCUK7La5rZAtcP3MR8A/fM+MzOW4P6fbzHQiUgPuXzbvwWMtv5ulrbxcGbU+kAEub1DKVPsd7bT0YDaD4eVuP9bB03+rmvmfGdFhyWd/37UWX9HR0/GG4a61zIkr+d+Ga918Efoa7LnkC7QwO64ogtAnc9cnQ/gCan+G6F2DpYLj+4llgMe757RBdV71Z9Nh9bZSfztJruHdr4/FYgtA2R1cw7Ii77n4ort81Lf0ezVVffVafb0y5fu5dpgTcv+zte2b11ht9z/yKpaOYW05KkZ4kYbm2vj37nlmfjicc6Ir0OdZv5/EzcE2ive1BXD/eINyMTe1qdbE/LB2VCm4AyDICN+vTf6K7l3Y0UtP3zOAWtahsOxOXCCuAg6PLS6biPrT39D0ztRvHTtf09m9nkpeTotsgCG17TdR9UnQZXXoE777RjwHeaas/NvrC8nB098yOJl/xPVPke2ZYi/sl7ZXFjaNItyi1fA+l36MjyIHuPN8sSD/3kVk8Zo9QAu5fGoCno2tf8T1TEI1+TX9QPB+E9o0W5T8FZuM+OP7P94wX7VcczeD0PN0fPJPuH9vB98yffc8Mic4xzvfM5bgL6bM5mrNLohGk6euTD/E984Dvme8vOfE9MyiaYevvuEstWu5bwdI+0EM6OM0xuOsYf4SbLWjLdHN09LdZz/fMmbjrerN+iUk08jx97fRRQWhnR/G/C5wXbb/Od1MsZuIG3NSMw4F/RwP68D0z3PfMZSyt+fw5w+P3xkxY3ZH+ArIjS98HbTU/p52Gm0ltBdwsTi2br/E94/luneRP+WFt9k7fM7f5ntkmus44XX4ibnKdQbhBk6+12OdL3JesEb5nds/guWVDps+3u9ITw2zbzhfDvKEE3L+chBux/IbvmQQueT6OG/kc0mrJt+gyiWNxTTZTgC+jSTuSuG+v9UTr3mYqCO1zwCPR3QuBpO+Zclwf0UnArbipMHtdENprcbP9WNwAmg99z1RH8VXjPtCOou1R0um5la/wPZP0PfNt9HNci+NPx00wUAlsiPsyUh1dtlGH6489H/cB1d4o74xEX3TuwvUP3h+EtnWz6MW4GvoI4I4OmtLbFV2fvDPuC9RGuMkVKnG17ZNxz+n06D3QH70GzMIlwHVw/0dtzTIFuMljcHOlzwVWx/1fJH3PLPI9k77U7irc9bQt3w+DcGv7PgNU+p5Z4numGjdz1d64GvDvgtB+P0Vq4OYXT//NH/I9U9HiPRp3LoCMdOP5dtejuMS/JjDb98x36eeexXNkhRJw/xLivkneivvQL8TNFHUFMDloMXF5WhDaR1l6KUUCN6R/Bm7Qzoa4GnJ37Y37Nvwp7lu5wdUqDwpC293LYbolCO0FuBHBN+I+EAyuP+073PWXf8A14bZ2Hu7azP9F+6wa/YxsdfyncR8EF+D63+uiMlW4CUjOAtYJQjsjq0/M/c3XxF1+dlTrB6OBcAfgvmhsgZtrN7YgtB/gavh/w01aUopLyE/iZkdbZi3g/iK6NK7lF5uX2/ofa7XPO7iRy6fi/v4J3PuhFtdveinw0yC001rsdhputqdncK9xCe5/+yvcVQwbBaG9q43T/R73Retzlk5buSoZToqSiQyfb3fPuQj3nn4EN+h0HEufe14xtt3LK6Wv8FusHBINzBDJmO+Zg3Ef7NOC0E7phfPdjmudWWYlKZH+TDVgERGRHNBEHCLSns39pWvJLrOmbndEfeVXdVZOpD9TAhaR1mpZdu3UyrYKdkN6rdaW8nW6SpEeoT7gfkB9wCIifY8SsIiISA5oEJaIiEgOKAGLiIjkgBKwiIhIDigBi4iI5IASsIiISA4oAYuIiOTA/wM4blwUxzJX7AAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import pandas as pd\n", "\n", "# now visualize the Pareto-optimal parameterizations\n", "#\n", "fig, ax = plt.subplots()\n", "fig.set_size_inches(7, 9)\n", "plt.xticks(fontsize=18, color=\"#322300\")\n", "plt.yticks(fontsize=18, color=\"#322300\")\n", "ax.set_xlabel(\"parameter x[0]: investment\", fontsize=24, color=\"#322300\")\n", "ax.set_ylabel(\"parameter x[1]: depreciation period\", fontsize=24, color=\"#322300\")\n", "\n", "# draw only the profitable Pareto optimal points in parameter space, with a quadratic fit\n", "#\n", "sbn.regplot(x=profitable_pareto_optimal_parameters[0], y=profitable_pareto_optimal_parameters[1], \\\n", " order = 2, scatter_kws={'s':7, 'color': '#002855'}, line_kws={\"color\": \"#2f3ef0\"})" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 5 }