{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"name":"1. Pricing of vanilla options in the Black-Scholes world and Monte Carlo Simulation.ipynb","provenance":[],"collapsed_sections":[]},"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":"3.7.3"},"toc":{"base_numbering":1,"nav_menu":{},"number_sections":true,"sideBar":true,"skip_h1_title":false,"title_cell":"Table of Contents","title_sidebar":"Contents","toc_cell":false,"toc_position":{},"toc_section_display":true,"toc_window_display":false}},"cells":[{"cell_type":"markdown","metadata":{"id":"MFpKrzgWhCBG","colab_type":"text"},"source":["This notebook aims to introduce\n","\n","1. option pricing theory,\n","2. Monte Carlo method and \n","3. finite difference method"]},{"cell_type":"markdown","metadata":{"id":"fQtUuMfbhCBN","colab_type":"text"},"source":["# Introduction to Option Pricing Theory"]},{"cell_type":"markdown","metadata":{"id":"fcpjhdSfhCBR","colab_type":"text"},"source":["## Introduction to Quantitative Analyst (aka Quant)"]},{"cell_type":"markdown","metadata":{"id":"bASUlcYBhCBT","colab_type":"text"},"source":["There are two main branches in quantitative finance: $\\mathbb{P}$ and $\\mathbb{Q}$ worlds.\n","\n","| | $\\mathbb{P}$ world | $\\mathbb{Q}$ world | \n","| --- | --- | --- | \n","| Application | risk and portfolio management | derivatives pricing | \n","| Goal | 'model the future' | 'extrapolate present' |\n","| Environment | real probability $\\mathbb{P}$ | risk-neutral probability $\\mathbb{Q}$ |\n","| Processes | discrete time series | continuous-time martingale |\n","| Dimension | large | low | \n","|Tools | multivariate statistics | Ito calculus, PDE's |\n","| Challenges | estimation | calibration | \n","| Business | buy-side (hedge fund) | sell-side (investment bank) | \n","\n","$$\\text{Figure 1: Comparison between }\\mathbb{P} \\text{ and }\\mathbb{Q} \\text{ world} $$"]},{"cell_type":"markdown","metadata":{"id":"Epwyqv5fhCBV","colab_type":"text"},"source":["| | Discrete-time | Continuous time | \n","| --- | --- | --- | \n","| Base Case | Random walk | Levy (Brownion, Poisson) | \n","| Autocorrelation | ARMA | Ornstein-Uhlenbeck| \n","| Volatililty Clustering | GARCH | Stochastic volatility and subordination | \n","\n","$$\\text{Figure 2: Fundamental stochastic processes for the } \\mathbb{P} \\text{ and } \\mathbb{Q} \\text{ worlds} $$\n","\n","Source: http://talus.maths.usyd.edu.au/u/UG/SM/MATH3075/r/Meucci_2011.pdf"]},{"cell_type":"markdown","metadata":{"id":"xqyfL4vxhCBZ","colab_type":"text"},"source":["## Vanilla Option Pricing Project"]},{"cell_type":"markdown","metadata":{"colab_type":"text","id":"6nbqkEq8blX3"},"source":["The purpose of this project is to implement the pricing of some vanilla options with the Black-Scholes model by multiple \n","methods. "]},{"cell_type":"code","metadata":{"id":"5Gz7ZGzQhCBe","colab_type":"code","outputId":"ef4a5af9-b8da-4756-ac31-1e1675483ba4","executionInfo":{"status":"ok","timestamp":1591165898546,"user_tz":-480,"elapsed":2202,"user":{"displayName":"Hong Wai Ng","photoUrl":"","userId":"05894942200778855220"}},"colab":{"base_uri":"https://localhost:8080/","height":34}},"source":["# Mount google drive and setup paths\n","import sys\n"," \n","# mount google drive \n","from google.colab import drive\n","drive.mount('/content/drive/', force_remount=True)\n"," \n","# specify path name to import py file\n","folder_name = 'Jupyter Notebooks/Quantitative Finance'\n","sys.path.append(\"drive/My Drive/\" + folder_name)"],"execution_count":1,"outputs":[{"output_type":"stream","text":["Mounted at /content/drive/\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"id":"UeSeuLbchSoK","colab_type":"code","colab":{}},"source":["# Import necessary libraries\n","\n","from random import random\n","from random import randint\n","from random import seed"],"execution_count":0,"outputs":[]},{"cell_type":"code","metadata":{"id":"UH1TTTnShT8E","colab_type":"code","colab":{}},"source":["from GBM import *\n","from Option import *\n","from Payoff import *"],"execution_count":0,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"Wx36nXmRhCBu","colab_type":"text"},"source":["**Geometric Brownian Motion Stochastic Differential Equation:**\n","\n","$$dS_t = S_t (\\mu -d ) dt + \\sigma S_t dW_t$$\n","where $W_t$ is the standard Wiener process (Brownian motion)."]},{"cell_type":"code","metadata":{"id":"roXp9CithCBx","colab_type":"code","outputId":"7a8a6e5f-29cd-4bfc-9f00-61cdaf592df8","executionInfo":{"status":"ok","timestamp":1591165904836,"user_tz":-480,"elapsed":3801,"user":{"displayName":"Hong Wai Ng","photoUrl":"","userId":"05894942200778855220"}},"colab":{"base_uri":"https://localhost:8080/","height":388}},"source":["# Testing GBM_fd function and plot all possible paths of stock prices\n","\n","S0 = 120\n","T = 1\n","r = 0.05\n","d = 0\n","sigma = 0.25\n","\n","num_paths = 10\n","num_steps = 50\n","\n","_ = GBM_fd(S0, r, d, sigma, T, num_steps, 2**num_paths, plot = True, seed = None)"],"execution_count":4,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 720x432 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"colab_type":"text","id":"a-C2g4o4blYr"},"source":["# Project 1: Vanilla options in a Black-Scholes world"]},{"cell_type":"markdown","metadata":{"colab_type":"text","id":"RFa_wEkCblYs"},"source":["## Analytical formulas"]},{"cell_type":"markdown","metadata":{"colab_type":"text","id":"xHAeLFU2blYu"},"source":["The first thing to do is to implement the Black-Scholes formulas for various options:\n","\n","* Implement the price of a forward as a function of time-to-maturity, $T$, continuously compounding rate, $r$, dividend rate, $d$, strike, $K$, spot, $S$, and volatility $\\sigma$\n","\n","* Ditto for a call option.\n","* Ditto for a put option.\n","* Ditto for a digital-call option.\n","* Ditto for a digital-put option.\n","* Ditto for a zero-coupon bond."]},{"cell_type":"markdown","metadata":{"colab_type":"text","id":"eiWRqcpUblYx"},"source":["The following are the analytical formulas of each derivative.\n","\\begin{align*}\n","\\text{Forward price} & = Se^{rT}, \\\\\n","\\text{European call option} & = Se^{-dT} N(d_1) - Ke^{-rT} N(d_2), \\\\\n","\\text{European put option} & = -Se^{-dT} N(-d_1) + Ke^{-rT} N(-d_2), \\\\\n","\\text{Digital-call option} & = ce^{-rT} N(d_2), \\\\\n","\\text{Digital-put option} & = ce^{-rT} N(-d_2), \\\\\n","\\text{Zero-coupon bond} & = ce^{-rT} \\\\\n","\\text{Forward Contract} & = Se^{-dT} - Ke^{-rT}.\n","\\end{align*}"]},{"cell_type":"markdown","metadata":{"id":"YSRrIfs7hCCN","colab_type":"text"},"source":["All formulas above are implemented in the class Option. We need to test whether the class is executable."]},{"cell_type":"code","metadata":{"colab_type":"code","executionInfo":{"status":"ok","timestamp":1591165087704,"user_tz":-480,"elapsed":1160,"user":{"displayName":"Hong Wai Ng","photoUrl":"","userId":"05894942200778855220"}},"id":"0hNDHqdJblYy","outputId":"a9598694-1563-498b-8e7a-759ab684e538","colab":{"base_uri":"https://localhost:8080/","height":119}},"source":["# Testing the Option class\n","\n","S = 120\n","K = 100\n","r = 0.05\n","d = 0.05\n","sigma = 0.2\n","T = 1\n","face_value = 1\n","\n","Option(S, K, r, d, sigma, T).print_all_values(face_value)"],"execution_count":32,"outputs":[{"output_type":"stream","text":["Forward price: 126.1525315651229\n","European call: 21.067162301831587\n","European put: 2.0425738118173165\n","Binary call: 0.7528901356124418\n","Binary put: 0.1983392888882722\n","Forward contract: 19.02458849001428\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"NSa_gmk9hCCe","colab_type":"text"},"source":["The Option class is executable. \n","Let us verify the consistency of those formulas."]},{"cell_type":"markdown","metadata":{"colab_type":"text","id":"BPC8CWVrblY3"},"source":["## Consistency"]},{"cell_type":"markdown","metadata":{"colab_type":"text","id":"RlVjEGp4blY5"},"source":["We need to be sure that the formulas have been implemented correctly so we need to run the following consistency checks.\n","\n","(i) **put-call parity with dividend**: $\\text{Call } - \\text{ Put } = \\text{ Forward Contract}.$\n","\n","(ii) The price of a call option should be monotone decreasing with strike, a convex function of strike and monotone increasing in volatility.\n","\n","(iii) If $d = 0$, the call option price should be increasing with $T$. \n","\n","(iv) A call option price should be between $S$ and $S - K e^{-rT}$ for all inputs. (Note that it holds for non-dividend paying stock only)\n","\n","\n","(v) The price of a bull call-spread should approximate the price of a digital-call option.\n","\n","(vi) The price of a digital-call option plus a digital-put option is equal to the price of a zero-coupon bond."]},{"cell_type":"markdown","metadata":{"colab_type":"text","id":"bwBtle4vblY6"},"source":["____"]},{"cell_type":"markdown","metadata":{"colab_type":"text","id":"W6FratEqblY7"},"source":["(i) **put-call parity with dividend**: $\\text{Call } - \\text{ Put } = \\text{ Forward Contract}.$"]},{"cell_type":"code","metadata":{"colab_type":"code","executionInfo":{"status":"ok","timestamp":1591165091313,"user_tz":-480,"elapsed":1663,"user":{"displayName":"Hong Wai Ng","photoUrl":"","userId":"05894942200778855220"}},"id":"3PJIrloYblY8","outputId":"62a44541-001c-4181-c5ca-559fd2f62351","colab":{"base_uri":"https://localhost:8080/","height":293}},"source":["# verify put-call parity for vanilla European options\n","\n","dec = 5 # number of decimal places of European call, put and forward contract\n","counter = 0 # number of agreed instances for put-call parity\n","loop = 500 # total number of trials\n","\n","seed(1)\n","\n","error = [0] * loop # records error between call - put and forward contract\n","\n","for i in range(loop):\n"," \n"," # # required paramters for Option class\n"," S = randint(1,100)\n"," K = randint(1,100)\n"," r = random()\n"," d = random()\n"," sigma = random()\n"," T = random()\n"," \n"," # calculate european call, put and forward contract \n"," option = Option(S, K, r, d, sigma, T)\n"," c = round(option.european_call(), dec)\n"," p = round(option.european_put(), dec)\n"," f = round(option.forward_contract(),dec)\n"," \n"," # compare the values of call, put and forward contract\n"," # If they agree, then we increase the counter by 1\n"," # otherwise, we record the error\n"," \n"," if c - p == f:\n"," counter += 1\n"," else:\n"," error[i] = c - p - f\n"," \n","print('Accuracy:', counter / loop)\n","plt.plot(error);\n","# [x for x in error if x != 0]"],"execution_count":33,"outputs":[{"output_type":"stream","text":["Accuracy: 0.704\n"],"name":"stdout"},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"colab_type":"text","id":"s_5K0b0SblZA"},"source":["(ii) The price of a call option should be monotone decreasing with strike, a convex function of strike and monotone increasing in volatility."]},{"cell_type":"code","metadata":{"id":"xxMco7NUhCDF","colab_type":"code","outputId":"7b82ea19-1f24-41e1-cfe2-cef9f5fb0d74","executionInfo":{"status":"ok","timestamp":1591165095173,"user_tz":-480,"elapsed":2079,"user":{"displayName":"Hong Wai Ng","photoUrl":"","userId":"05894942200778855220"}},"colab":{"base_uri":"https://localhost:8080/","height":459}},"source":["_, ax = plt.subplots(2,3, figsize = (15,8))\n","\n","x_start = 1\n","x_end = 50\n","x_steps = x_end - x_start + 1\n","\n","seed(3)\n","\n","S = randint(1,100)\n","K = randint(1,S) # we assume that spot price is always larger than strike price\n","r = random()\n","sigma = random()\n","T = random()\n","d = random()\n","\n","print('S: ', S)\n","print('K: ', K)\n","print('r: ', r)\n","print('d: ', d)\n","print('sigma: ', sigma)\n","print('T: ', T)\n","\n","\n","x = np.linspace(x_start, x_end, x_steps)\n","\n","f_spot = lambda x: Option(x, K, r, d, sigma, T).european_call()\n","f_strike = lambda x: Option(S, x, r, d, sigma, T).european_call()\n","f_interest = lambda x: Option(S, K, x, d, sigma, T).european_call()\n","f_dividend = lambda x: Option(S, K, r, x, sigma, T).european_call()\n","f_vol = lambda x: Option(S, K, r, d, x, T).european_call()\n","f_time = lambda x: Option(S, K, r, d, d, 1 / x).european_call()\n","\n","y = [f_spot, f_strike, f_interest, f_dividend, f_vol, f_time]\n","variables = ['Spot price', 'Strike price', 'Risk-free interest rate', 'Dividend', 'Volatility', '1 / Time to maturity']\n","\n","for i in range(6):\n"," ax[i//3, i%3].plot(x, y[i](x))\n"," ax[i//3, i%3].set_xlabel(variables[i])\n"," ax[i//3, i%3].set_ylabel('Call option value')"],"execution_count":34,"outputs":[{"output_type":"stream","text":["S: 31\n","K: 19\n","r: 0.5442292252959519\n","d: 0.625720304108054\n","sigma: 0.36995516654807925\n","T: 0.6039200385961945\n"],"name":"stdout"},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAA3gAAAHgCAYAAAD3xM9JAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAgAElEQVR4nOzdd3xV9f3H8dcnG0IIBMIeYcteEQcunGDrVgS31uIW/LXOttaqVavWPWmdFUHrrqKteytCmLL3DmFlEDLv9/dHLjXFALnh3px7bt7PxyOP3HvueuPD+8n5nPM936855xARERERERH/i/M6gIiIiIiIiISHGjwREREREZEYoQZPREREREQkRqjBExERERERiRFq8ERERERERGKEGjwREREREZEYkeB1gFC1bNnSZWVleR1DRMJoxowZm51zmV7n2F+qTyKxJxbqk2qTSOzZW23yXYOXlZXF9OnTvY4hImFkZqu8zhAOqk8isScW6pNqk0js2Vtt0hBNERERERGRGKEGT0REREREJEaowRMREREREYkRavBERERERERihBo8ERERERGRGKEGT0TCzjlHeWXA6xhRq7wygHPO6xgiIiISg3y3TIKIRL+/f7mCqfM28MIlw2iakuh1nKiSv7OcC575nlMGteeSw7p4HUdExFecc2wrLmfrjjK2FZdV/d5RRlFpBcVllRSXVbKzrIKd5ZWUVzrKKgOUVwQorwxQEXBUBn8CbtfvqvcMOHA4AgFwwc9xwW0/fXbwd7Use8wZuf8EEsP6t0/n4TGD9/t91OCJSFj9sHIr93ywkON6tyYtWSVmd01TEshMS+ae9xdyUNcM+rZL9zqSiEhUWr99J98t38KSTUWs2rKDFZuLWbVlB8VllXt8TVJ8HI2S4klJjCM5IZ7EeCMxPo6khDji44yEOCPOqrYlJxhxcUacgQFxZpiBmWFQdZuqbbvsul31DMB2T1Dtufv9X0AamqwWqWF5n3rZ+zKzjsCLQGuqDmpMdM49bGYZwCtAFrASGO2c21YfmUQk/DYXlXL1yzl0bN6Ie88agJl3f972t+6Y2YXA74N373TOvRCmXNx75kBGPvQF106eybvXHE6jpPhwvLWIiK/tKK3gs0V5fLNsM98s28KKzTsASIw3OmY0JqtFKgd3zaBj88a0aJJERmoSzRsn0Tw1ibSUBBonxpMQr6uPROrr8HoF8BvnXI6ZpQEzzOxD4CLgY+fcPWZ2E3ATcGM9ZRKRMKoMOMZPmcn24nKeuzIqhmbWue4Em8A/AtlUNYczzOydcB2AykhN4sGzB3HeM99z+7vzufv0/uF4WxERX9q2o4znvlnJC9+sJH9nOU2SEzioSwbnHdyZQ7u1oEerJmrcREJQLw2ec24DsCF4u9DMFgDtgVOAo4JPewH4DDV4Ir708MdL+HrpFu49YwB92jX1Os7+1p0TgA+dc1sBgo3hSGByuPIN796ScUd05enPl3Nkz5aM7Nc2XG8tIuILG/NL+PuXy3l52mqKyyo5vk9rLjmsC0M7NydRDZ1IndX7BTJmlgUMBr4HWgd3wgA2UjWUSkR85vPFeTz6yRLOHNqB0Qd29DrOz9Sh7rQH1lS7vza4Lax+c1wvvl22hRtfn8uADs1o16xRuD9CRCQqTZ27getemUVFwHHywHZccVQ3erZO8zqWSEyo18MjZtYEeB2Y4JwrqP6Yq5qKqMZJh8xsnJlNN7PpeXl59ZBURGpr/fadTJgyk16t07jjlH5ex/mZutadEN6/zvUpKSGOh8cMprwywHWvzKIyoHnXRCS2Oef42xfLuerlHPq1T+fT3xzFg2cPUnMnEkb11uCZWSJVO1mTnHNvBDfnmlnb4ONtgU01vdY5N9E5l+2cy87MzKyfwCKyT2UVAa56OYfySscT5w6JuslC9qPurAOqn4rsENz2M/tbn7q0TOX2U/rx/YqtPPnZ0pBfLyLiF5UBx23v/Mifpy5gVL82TLr0IDq1aOx1LJGYUy8NnlVNpfcMsMA590C1h94BLgzevhB4uz7yiEh43P3+Amau3s69Zw6ga2YTr+P8j/2sO/8Gjjez5mbWHDg+uC0izhjSnpMHtuPBj5aQs1oTCYtI7Ckuq+Cyf8zghW9XMe6Irjw2dggpidF1UFAkVtTXGbzhwPnA0WY2K/hzInAPcJyZLQGODd4XER+YOncDz329kouHZ3Fi/6icICSkumNm2Wb2d4Dg5Cp3AD8Ef27fNeFKJJgZd57Wj7bpKYyfMpOCkvJIfZSISL1zznHlpBw+WZjLHaf05ZYTexMXp1XiRCKlvmbR/Io9r/d4TH1kEJHwWZ5XxA2vzWFwp2bcPKq313FqFGrdcc5NBy6tdv9Z4NnIpPu5pimJPDxmMKOf/pY/vDWPh84e5Ok6giIi4fLO7PV8tiiPW3/Zh/MPyfI6jkjM0xy0IhKSnWWVXDkph8R447FzhpCUoDISLkM7N2f8MT14e9Z63pxZ4yV/IiK+sr24jDvenc/Ajs248NAsr+OINAjaMxORkNz69jwW5Rby4NmDaK9p/cPuqhHdGZaVwR/emsfKzTu8jiMisl/+8sFCthWXc9dp/YjXsEyReqEGT0Rq7dUf1vDPGWu5ZkR3jurVyus4MSk+znhwzCDi44zxU2ZSXhnwOpKISJ1MW7GVydPW8KvDutC3XbrXcUQaDDV4IlIr89cX8Ie35zG8ewvGH9vT6zgxrX2zRvzljAHMXpvPAx8u9jqOiEjIyioC3PLmXNo3a8SEY3t4HUekQVGDJyL7VFBSzpWTZtCscdVEIBpmE3mj+rdl7LCOPPX5Mr5ZutnrOCIiIXn682Us3VTEnaf2o3FSvczpJyJBavBEZK+cc9z42hzWbNvJY+cMoWWTZK8jNRh/+GUfurZM5bpXZ7F1R5nXcUREamXN1mIe/XQpvxjQlhEHaDi/SH1Tgycie/Xs1yt5f95Gbhp5AAdmZXgdp0FpnJTAw2MGs21HOTe8NgfnnNeRRET26fWctZRXBrjlxOhcRkck1qnBE5E9mrFqG3dPXcDxfVpz6eFdvI7TIPVrn84NI3vx0YJcXvp+tddxRET2yjnHv2avZ1hWhmZaFvGIGjwRqdGWolKufjmHds0acd9ZA7XotocuGd6FI3tmcue781m0sdDrOCJSD8yso5l9ambzzexHMxsf3J5hZh+a2ZLg7+ZeZ61u4cZCluXt4KSB7byOItJgqcETkZ+pDDgmvDKLLTvKeOLcIaQ3SvQ6UoMWF2fcf9ZA0lISuHbyTErKK72OJCKRVwH8xjnXBzgYuMrM+gA3AR8753oAHwfvR41/zV5PfJwxql8br6OINFhq8ETkZx79ZAlfLtnMn07uS7/2WrsoGmSmJXP/WQNZlFvI3VMXeB1HRCLMObfBOZcTvF0ILADaA6cALwSf9gJwqjcJf845x7/mrGd495a00IRcIp5Rgyci/+OLxXk8/PESTh/SnjEHdvQ6jlRzVK9WXDK8Cy98u4qP5ud6HUdE6omZZQGDge+B1s65DcGHNgKt9/CacWY23cym5+Xl1UvO2WvzWbN1JycNaFsvnyciNVODJyL/tSF/JxNemUXPVmnceWo/XXcXhW4c1YvebZty/WuzyS0o8TqOiESYmTUBXgcmOOcKqj/mqqbWrXF6XefcROdctnMuOzMzsx6Swruz15MUH8fxfTU8U8RLavBEBIDyygBXvzyT0vJKnjhviO8XpjWzZ81sk5nNq7btFTObFfxZaWaz9vDalWY2N/i86fWXet+SE+J5dOwgdpZX8ptXZxMIaOkEkVhlZolUNXeTnHNvBDfnmlnb4ONtgU1e5asuEHC8O2cDR/TM1HXbIh5TgyciANzz/kJmrNrGPWcMoFtmE6/jhMPzwMjqG5xzZzvnBjnnBlG10/RGTS8MGhF8bnYEM9ZJ91Zp/PGkvny1dDMTv1zudRwRiQCrGkLxDLDAOfdAtYfeAS4M3r4QeLu+s9Vk+qptbCwo4aSBGp4p4jU1eCLC+3M38MxXK7jo0KyYmdraOfcFsLWmx4I7TqOByfUaKozGHNiRUf3acP+/FzFn7Xav44hI+A0HzgeOrjby4ETgHuA4M1sCHBu877l/zV5PSmIcx/au8ZJAEalH/h6DJSL7bcXmHdzw2hwGdWzGLSf29jpOfTkcyHXOLdnD4w74j5k54Gnn3MT6i1Y7Zsbdp/dn1prtXDt5Ju9eezhNklXSRWKFc+4rYE8XQh9Tn1n2paIywPvzNnBM79akqg6JeE5n8EQasJLySq54aQbx8cbj5w4hKaHBlISx7P3s3WHOuSHAKKrWnjpiT0/0Yqa6XZo1TuKhswexemsxt73zY71+tojILt8t38rmojLNnikSJRrM3pyI/Nytb89j4cZCHjx7EO2bNfI6Tr0wswTgdOCVPT3HObcu+HsT8CYwbC/PrfeZ6qo7qGsLrh7RnddmrOWd2evr/fNFRP41ez1NkhM4qlcrr6OICGrwRBqsV6ev4dXpa7nm6O6MaFh/lI8FFjrn1tb0oJmlmlnartvA8cC8mp4bLa49pgdDOjXjd2/MZc3WYq/jiEgD88WSPI7qlUlKYrzXUUQENXgiDdL89QX84a15HNqtBROO7el1nIgws8nAt0AvM1trZr8KPjSG3YZnmlk7M5savNsa+MrMZgPTgPeccx/UV+66SIiP4+ExgwEYP2UmFZUBjxOJSEOxdUcZG/JLGNihmddRRCRIV8KKNDAFJeVcOWkGzRon8sjYwcTHxeZi5s65sXvYflEN29YDJwZvLwcGRjRcBHTMaMyfT+/PtZNn8sjHS/i/43t5HUlEGoAFG6rWXu/TrqnHSURkF53BE2lAnHPc+Noc1mzbyWPnDKFlk2SvI0kYnTywHWcO7cBjny5l2ooaV4gQEQmr+eurGrzebdXgiUQLNXgiDchzX6/k/XkbuXFkLw7MyvA6jkTAbSf3pVNGYyZMmUl+cbnXcUQkxs3fUEDb9BQyUpO8jiIiQWrwRBqIGau2cdfUBRzfpzW/Pryr13EkQpokJ/DI2MFsKizl5jfn4JzzOpKIxLD56wvoo7N3IlFFDZ5IA7ClqJSrX86hXbNG3HfWQMxi87o7qTKgQzN+e0Ivps7dyKvT13gdR0RiVEl5JUvzinT9nUiUUYMnEuMqA44Jr8xiy44ynjh3COmNEr2OJPVg3OFdGd69Bbe9M5+lm4q8jiMiMWhJbhGVAaczeCJRRg2eSIx79JMlfLlkM386uS/92qd7HUfqSVyc8cDoQaQkxjF+ykxKKyq9jiQiMWb+hnxAM2iKRBs1eCIx7IvFeTz88RJOH9KeMQd29DqO1LPWTVO478yB/Li+gPs+WOR1HBGJMfPXF9AkOYGOzRt7HUVEqlGDJxKj1m/fyfgpM+nZKo07T+2n6+4aqGP7tOaCQzrz969W8NmiTV7HEZEYMn9DAb3bphEXo+upiviVGjyRGFRWEeDql3MoqwjwxHlDaJyU4HUk8dAtJ/amV+s0fvvP2eQVlnodR0RiQCDgWLChUNffiUQhNXgiMeie9xeSs3o7fzlzAN0ym3gdRzyWkhjPI2MHU1hSwW//OZtAQEsniMj+WbOtmKLSCl1/JxKF1OCJxJipczfw7NcruOjQLH45oJ3XcSRK9GqTxu9/0ZvPF+fx3DcrvY4jIj43f30BAH3aavIukWijBk8khizPK+KG1+YwqGMzbjmxt9dxJMqcd3Bnju3dmr+8v5B56/K9jiMiPjZ/QwHxcUaP1holIhJt1OCJxIidZZVcOSmHxHjj8XOHkJSgr7f8LzPj3jMH0KxxIuOnzKS4rMLrSCLiU/PXF9A9swkpifFeRxGR3dTbHqCZPWtmm8xsXrVtt5nZOjObFfw5sb7yiMQS5xy/f2sei3ILefDsQbRv1sjrSJ7bn5pjZiPNbJGZLTWzm+ovdeRlpCbx4NmDWL55B3e8O9/rOCLiU/M3FOj6O5EoVZ+H+J8HRtaw/UHn3KDgz9R6zCMSM16dvobXc9ZyzdE9OKpXK6/jRIvnqUPNMbN44HFgFNAHGGtmfSKatJ4N796Sy47oxuRpa3h/7gav44iIz2zdUcaG/BLNoCkSpeqtwXPOfQFsra/PE2koflyfz61v/8hh3Vsy/pgeXseJGvtRc4YBS51zy51zZcAU4JSwhosC/3dcTwZ0SOemN+ayfvtOr+OIiI8s2BCcYEVn8ESiUjRcpHO1mc0JDqdq7nUYET/J31nOlZNyaN44iYfGDCJei83Wxr5qTntgTbX7a4PbYkpSQhyPjBlMeWWACa/MolJLJ4hILe2aQbO3zuCJRKWQGzwza2RmvcL0+U8C3YBBwAbgr3v4zHFmNt3Mpufl5YXpo0X8zTnH9f+czbptO3n83MG0bJLsdaSICWPdqVXNCYWf61NWy1RuP6Uf01Zs5YlPl3odRyRmhXnfyXPzNxTQNj2FjNQkr6OISA1CavDM7CRgFvBB8P4gM3unrh/unMt1zlU65wLA36gaGlXT8yY657Kdc9mZmZl1/TiRmPK3L5fzn/m53Hxib4Z2zvA6TsSEs+7UsuasAzpWu98huG1P7+nr+nTGkPacPLAdD328hBmrtnkdRyTmhHvfKRrMX1+g6+9EolioZ/Buo2qHaDuAc24W0KWuH25mbavdPQ2Yt6fnishPpq3Yyl8+WMSofm24ZHiW13Ei7TbCVHdqWXN+AHqYWRczSwLGAL7eGdsbM+PO0/rRNj2F8VNmUlBS7nUkkVhzG2Hcd/JaSXklS/OKdP2dSBQLtcErd87tvjpurS7cMLPJwLdALzNba2a/Au41s7lmNgcYAVwXYh6RBievsJSrX86hU0Zj7j1zAGYxf91dnepOKDXHzNqZ2VQA51wFcDXwb2AB8Kpz7sfw/XOiT9OURB4eM5gN+SX8/s15OKfr8UTCaH/2nWpa7mWQmX0XXOplupnVOPopUpbkFlEZcDqDJxLFEkJ8/o9mdg4Qb2Y9gGuBb2rzQufc2Bo2PxPi54s0aBWVAa6dPJP8neW8cMkw0lISvY5UH+pUd0KpOc659cCJ1e5PBRrUsi1DOzdn/DE9eODDxRzZM5MzhnbwOpJIrKjzvhNVy708BrxYbdu9wJ+cc+8H1/K8FzgqfHH3bsFGTbAiEu1CPYN3DdAXKAUmAwXAhHCHEpGaPfjRYr5dvoU7Tu3XkP64qu7Uk6tGdGdYlwxufXseKzfv8DqOSKyocw3bw3IvDtj1ByAdWB+emLWza1mV9s0b1efHikgIQjqD55wrBn4X/BGRevTJwlwe/3QZZ2d3ZHR2x32/IEao7tSf+DjjobMHMfKhLxg/ZSb/vPxQkhKiYTUdEf+KQA2bAPzbzO6n6kD9oWF631rJLSilZZMkEuNVG0SiVUgNnpl9Sg3jxp1zR4ctkYj8zJqtxVz3ymz6tG3Kn07p63WceqW6U7/aNWvEX84YwBWTcnjgw8XcNOoAryOJ+FoEatgVwHXOudfNbDRVQ8+PreFzxwHjADp16lTHj/q5TQUltEpLCdv7iUj4hXoN3m+r3U4BzgAqwhdHRHZXWlHJlZNyCDjHk+cNISUx3utI9U11p56N6t+WscM68vQXyziiR0sO7d7S60gifhbuGnYhMD54+5/A32t6knNuIjARIDs7O2wzJ+UWltC6aeyuuyoSC0Idojljt01fm9m0MOYRkd3c8e585q7L5+nzh9K5RarXceqd6o43/vDLPkxbsZUJr8zigwlHaEFjkTqKQA1bDxwJfAYcDSzZj/cK2cb8Uvq3T6/PjxSREIW60HlGtZ+WZnYCVRf4ikgEvDVzHS99t5rLjujKCX3beB3HE6o73miclMAjYwezvbicG16bo6UTROpof2rYHpZ7+TXwVzObDdxFcBhmfSivDLBlR6mGaIpEuVCHaM6gahy5UTW8YAXwq3CHEhFYnFvIzW/MZVhWBr89oZfXcbykuuORvu3SuXHUAdzx7nxe+m4V5x+S5XUkET+qcw3bw3IvAEPDEy00m4tKcQ5aN1WDJxLNQh2i2SVSQUTkJ0WlFVz+0gxSkxN47JzBDXq2MtUdb10yPIsvl+Rx53sLGNalBb3apHkdScRXYqmG5RaUAugaPJEoV6sGz8xO39vjzrk3whNHRJxz3Pj6HFZu3sGkSw+mVQM9Uqq6Ex3MjPvPGsjIh77k2skzefvq4Q1xoh+RkMViDduYXwLoDJ5ItKvtGbyT9vKYA3xXpESi1QvfrOS9ORu4YWQvDunWwus4XlLdiRItmyTz19EDufDZadw1dQG3n9LP60gifhBzNWxToRo8ET+oVYPnnLs40kFEBHJWb+PPUxdwbO9WXH5EN6/jeEp1J7oc2TOTSw/rwt+/WsHhPTI5rk9rryOJRLVYrGG5BSXExxktNKuuSFQLdZIVzOwXQF+q1nIBwDl3ezhDiTREW4pKuWpSDm3SU/jrWYOIizOvI0UN1Z3ocP3IXny7fAs3vDabDyYcoaP4IrUUKzUst6CUVmnJ+vskEuVCXSbhKeBs4BqqZoM6C+gcgVwiDUplwDHhlVls2VHGk+cOJb1xoteRoobqTvRITojnkbGDKSkP8H+vziIQ0NIJIvsSSzUst6BEB3ZEfCDUqfkOdc5dAGxzzv0JOAToGf5YIg3Lwx8v4cslm/nTyX3ppwVkd1enumNmz5rZJjObV23bfWa20MzmmNmbZtZsD69daWZzzWyWmU0P278kBnTLbMJtJ/fh66VbePqL5V7HEfGDmNl3qmrwNIOmSLQLtcHbGfxdbGbtgHKgbXgjiTQsny3axKOfLOGMIR0Yc2BHr+NEo7rWneeBkbtt+xDo55wbACwGbt7L60c45wY557JDzBvzRmd35Bf92/LX/yxi1prtXscRiXYxs++UW1CqM3giPhBqg/du8Ij3fUAOsBJ4OdyhRBqKddt3MuGVWfRqncadp/bDTNc11KBOdcc59wWwdbdt/3HOVQTvfgd0CG/UhsHMuOu0/rRumsL4KTMpKq3Y94tEGq6Y2HcqKa8kf2e5GjwRHwipwXPO3eGc2+6ce52q8eMHOOdujUw0kdhWWlHJlZNyqKx0PHneUBolaW2xmkSw7lwCvL+njwX+Y2YzzGxcGD4r5qQ3TuShMYNYs7WYW9+et+8XiDRQsbLvlFtQtURCqzQN0RSJdqFOsjLHzG4xs27OuVLnXH6kgonEuj+/t4DZa7Zz31kD6NIy1es4USsSdcfMfgdUAJP28JTDnHNDgFHAVWZ2xF7ea5yZTTez6Xl5efsbzVcOzMrgmqN78EbOOt6etc7rOCJRKVb2nXILSgFok64zeCLRLtQhmidRtVP0qpn9YGa/NbNOEcglEtPenrWOF79dxbgjujKyny8vxahPYa07ZnYR8EvgXOdcjdNAOufWBX9vAt4Ehu3p/ZxzE51z2c657MzMzLrG8q1rju5Odufm/O7NeazeUux1HJFoFBP7TrvO4GmIpkj0C3WI5irn3L3OuaHAOcAAYEVEkonEqMW5hdz0+lyGZWVwwwm9vI4T9cJZd8xsJHADcLJzrsZuxMxSzSxt123geEBjEPcgIT6Oh8YMwgyunTKT8sqA15FEokqs7Dv9t8FLU4MnEu1CPYOHmXU2sxuAKcABVO0siUgtFJVWcPlLM0hNTuCxcwaTEB/yV7BBqkvdMbPJwLdALzNba2a/Ah4D0oAPg0sgPBV8bjszmxp8aWvgKzObDUwD3nPOfRD+f1Xs6NC8MfecPoBZa7bz0EeLvY4jEnViYd8pt6CE5IQ4mjZK8DqKiOxDSN9SM/seSAReBc5yzmkRJJFacs5x42tzWLl5B5MuPZhWGuZSK3WtO865sTVsfmYPz10PnBi8vRwYWLe0DdcvBrTli8UdeeKzZQzv3pJDu7X0OpJIVIiVfafcglLapKdotmcRHwj1MMwFzrlFEUkiEuOe+3ol783dwE2jDuCQbi28juMnqjs+8ceT+/DDqq1c98os3h9/BBmpSV5HEokGMVHDcgtKNDxTxCdCvQbP9wVKxAvTV27lrqkLOK5Pay47oqvXcXxFdcc/Gicl8MiYwWzbUc4Nr81hD3PYiDQosVLDNhWW0qqplkgQ8QNdACQSYXmFpVz1cg7tmzfi/rMGaniLxLR+7dO5cdQBfLQgl398t8rrOCISBs45NuaXaAZNEZ9QgycSQRWVAa6dPJPtxeU8ee5Q0hsleh1JJOIuGZ7FiF6Z3PneAhZuLPA6jojsp8LSCnaWV9JGDZ6IL4Q8FZKZHQpkVX+tc+7FMGYSiRl//XAx3y7fwv1nDaRPu6Zex/Et1R1/MTPuO2sgIx/6kmtensk7Vx9Go6R4r2OJeMbvNWxTcIkEDdEU8YdQZ9H8B9ANmAVUBjc7wDdFSqS+fDg/lyc/W8bYYZ04c2gHr+P4luqOP7VsksyDZw/k/Gemccd787nrtP5eRxLxRCzUsNyCUkCLnIv4Rahn8LKBPk5Xzovs1aotO/i/V2fRv306fzypj9dx/E51x6cO75HJZUd25enPl3NEj5aM7NfW60giXvB9DduYH1zkXA2eiC+Eeg3ePKBNJIKIxIqdZZVc/lIOcWY8ce4QUhI1NG0/qe742G+O68XADunc8Noc1m3f6XUcES/4voblFu5q8DREU8QPQj2D1xKYb2bTgNJdG51zJ4c1lYhPOef4/VvzWLixgOcuOpCOGY29jhQLVHd8LCkhjkfGDuYXj3zFhCkzmfzrg0mI1/xe0qD4voZtKiglLSWBxkkhT90gIh4I9Zt6WyRCiMSKl6et5vWctYw/pgdH9WrldZxYcZvXAWT/dG6Ryp9P68f4KbN45JOl/N9xPb2OJFKfbvM6wP7KLdASCSJ+EupC558DC4G04M+C4DaRBm/2mu386Z35HNkzk/HH9PA6TsxQ3YkNpwxqzxlDOvDYJ0v4bvkWr+OI1JtYqGFVDZ6GZ4r4RUgNnpmNBqYBZwGjge/N7MxIBBPxk607yrhyUg6Zack8dPYg4uK0mHm4qO7EjttP6UvnFqlMmDKLbTvKvI4jUi/qWsPM7Fkz22Rm83bbfo2ZLTSzH83s3sik/l+5BaW0TtMZPBG/CHWI5u+AA51zmwDMLBP4CHgt3MFE/KIy4JjwyizyCty6CtAAACAASURBVEt57YpDaJ6a5HWkWKO6EyNSkxN4dOxgTnvia65/bQ5/u2AoZjoYIjGvrjXseeAxqi2nYGYjgFOAgc65UjOL+LUAgYBjU2EJrdPV4In4RahXusftKlBBW2r7HjUdiTKzDDP70MyWBH83DzGPiOce/mgxXyzO47aT+zKgQzOv48QiT+qOmV0YfM4SM7tw//4Jsku/9uncPKo3Hy3I5YVvVnodR6Q+1KmGOee+ALbutvkK4B7nXGnwOZt+9sIw21ZcRnmlo3WahmiK+EWoDd4HZvZvM7vIzC4C3gOm1vK1zwMjd9t2E/Cxc64H8HHwvohvfLwgl0c+WcpZQzswdlhHr+PEqnqvO2aWAfwROAgYBvxRB6DC5+LhWRxzQCvumrqQeevyvY4jEmn7U8N21xM43My+N7PPzezAsKXcAy1yLuI/oU6ycj0wERgQ/JnonLuxlq+t6UjUKcALwdsvAKeGkkfES6u3FHPdK7Po264pd5zaT0PNIsSjunMC8KFzbqtzbhvwIT9vFKWOzIz7zhpIRmoS10yeSVFphdeRRCJmf2pYDRKADOBg4HrgVdvDHx8zG2dm081sel5eXh0/rmqCFYBWavBEfCPkBU2cc68Dr4fp81s75zYEb28EWtf0JDMbB4wD6NSpU5g+WqTudpZVctlLMzAznjpvqBYzjzAP6k57YE21+2uD2yRMMlKTeGjMIM7523fc+vY8Hhg9yOtIIhETxhq2FnjDOeeAaWYWoGqdvZ91cM65iVQ1lmRnZ7u6fuCuBq+NrsET8Y3aXsfyVfB3oZkVVPspNLOCcAQJFqsaC5BzbqJzLts5l52ZmRmOjxOps+qLmT80ZpAWM48Qr+tOCDnDcpS8ITq4awuuPaYHb+Ss4/UZa72OIxJWEaphbwEjgu/bE0gCNocncc12DdHMbKJr8ET8olYNnnPusODvNOdc02o/ac65pvvx+blm1hYg+DviFwuL7K9di5lfe3QPRmgx84jxuO6sA6pfVNkhuK2mnDoAtR+uOboHB3XJ4A9vz2NZXpHXcUTCZn9rmJlNBr4FepnZWjP7FfAs0DU4cdQU4MLggaqIyS0soUVqEkkJoU7bICJeCXUdvH/UZlsI3gF2zU53IfD2fryXSMTNXL2N2975UYuZ1yOP6s6/gePNrHlwcpXjg9skzOLjjIfHDCY5IY6rJuVQUl7pdSSRsKprDXPOjXXOtXXOJTrnOjjnnnHOlTnnznPO9XPODXHOfRKZ1D/JzS/R9XciPhPq4Zi+1e+YWQIwtDYv3MORqHuA48xsCXBs8L5IVNpcVMoVL+XQJj2Fh8doMfN6VC91x8yyzezvAM65rcAdwA/Bn9uD2yQC2qSn8MDoQSzcWMgd7873Oo5IuNW5hkWD3MIS2jTV8EwRP6nVJCtmdjNwC9AoOG58155tGcELePfFOTd2Dw8dU5vXi3ipojLA1S/nsK24jNevOJRmjbWYeaTVd91xzk0HLq12/1mqhkNJPRhxQCsuO6IrT3+xnEO6teCXA9p5HUlkv4SjhkWD3IJS+rVL9zqGiISgttfg3e2cSwPuqzZ+PM0518I5d3OEM4p47r5/L+K75Vv582n96ddef+jqg+pOw/PbE3oxuFMzbn59Lqu27PA6jsh+iYUa5pxjS1EpLZrooKaIn4Q6RPMWMzvdzB4ws7+amdatk5g3de4Gnv5iOecd3Ikzh3bwOk5DpLrTQCTGx/Ho2MGYwdUvz6S0QtfjSUzwbQ0rLqsk4KBpSqLXUUQkBKE2eI8DlwNzgXnA5Wb2eNhTiUSJpZsKuf6fsxncqRm3/rLvvl8gkaC604B0aN6Y+84ayNx1+dw9daHXcUTCwbc1rKi0AoAmKSEvmywiHgr1G3s00HvXlLxm9gLwY9hTiUSBgpJyxr04g0ZJ8Txx7hBNEe0d1Z0G5oS+bbh4eBbPfb2Sg7pkMKp/W68jiewP39awwpJyAJokq8ET8ZNQ91iXAp2q3e8Y3CYSUwIBx29enc2qrcU8ds4Q2qY38jpSQ6a60wDdPKo3Azs244bX5uh6PPE739awwpKqM3gaoiniL6E2eGnAAjP7zMw+A+YDTc3sHTN7J+zpRDzy5OfL+HB+Lrec2JuDu7bwOk5Dp7rTACUlxPH4OYOJizOu1Pp44m++rWEaoiniT6F+Y2+NSAqRKPL54jzu/88iThnUjkuGZ3kdR1R3GqwOzRvzwOiB/OqF6dzx7nz+fFp/ryOJ1IVva9iuM3hpavBEfCWkb6xz7nMzaw0cGNw0zTm3KfyxRLyxeksx106eSa/Wadx9en/MtJi511R3GrZjerfm8iO78dTnyxjWJYNTBrX3OpJISPxcw4qCDZ6uwRPxl5CGaJrZaGAacBYwGvjezM6MRDCR+razrJLLXpqBc46nzx9K4yT9QYsGqjvy2+N7Miwrg5vfmMvSTYVexxEJiZ9rWGFwiGZasq7BE/GTUPdgfwccuOvIk5llAh8Br4U7mEh9cs5x0xtzWLixgGcvOpDOLVK9jiQ/Ud1p4BLi43hk7GB++eiXXP5SDm9fNZxUnVEQ//BtDfvvLJoaoiniK6FOshK327CCLXV4D5Go88xXK3h71np+e3wvRvRq5XUc+V+qO0Kb9BQeGTOY5XlF3Pj6HIIzzov4gW9rWFFJBY2T4omP0+UKIn4S6iGZD8zs38Dk4P2zganhjSRSv75Zupm731/IyL5tuPKobl7HkZ9T3READu3ekutPOIC/fLCQoZ2bc/HwLl5HEqkN39awwpIKXX8n4kOhTrJyvZmdDhwW3DTROfdm+GOJ1I9123dy9eSZdGmZyv2jB2pSlSikuiPVXX5kV3JWb+PP7y1gQId0hnbO8DqSyF75uYYVlVZoBk0RHwr5W+ucewN4IwJZROpVSXkll/9jBuUVASaeP1RHKaNYOOuOmfUCXqm2qStwq3PuoWrPOQp4G1gR3PSGc+72cHy+7B8z4/6zBnLyY19x5aQc3r3mcDLTkr2OJbJXft13KiytoIkWORfxHV+MARcJN+cct7wxl7nr8nlozCC6ZjbxOpLUE+fcIufcIOfcIGAoUAzUdDT9y13PU3MXXdIbJfLkuUPJ31nONZNzqKgMeB1JJCYVlpSTpoOfIr6jBk8apGe/XskbM9fxf8f15Jjerb2OI945BljmnFvldRAJTZ92TbnrtP58t3wrd01d6HUckZhUVKIhmiJ+pAZPGpyvl27mrqkLGNm3DVeP6O51HPHWGH6a+GB3h5jZbDN738z61mcoqZ3Th3Tg4uFZPPv1Ct6cudbrOCIxp6hUk6yI+FGtvrVmNheoaU5qA5xzbkBYU4lEyOotxVz1cg7dMqsmVYnT1M9RK9J1x8ySgJOBm2t4OAfo7JwrMrMTgbeAHnt4n3HAOIBOnTrtTySpg1tO7M389QXc9PpcerRKo1/7dK8jiQCxse9UWFKhNfBEfKi239pfRjSFSD0oLqtg3D+mEwg4/nZBto5KRr9I151RQI5zLnf3B5xzBdVuTzWzJ8yspXNucw3PnQhMBMjOztbibPUsMT6Ox88dwsmPfsVl/5jBv645jIzUJK9jiYDP950CARecRVOTrIj4Ta32cHV9ividc47r/zmHxbmFPHfxMDq3SPU6kuxDPdSdsexheKaZtQFynXPOzIZRNZx9S4TzSB21bJLM0+dnc8ZT33D1yzm8eMkwEuJ1BYJ4y+/7TjvKKgA0yYqID9XqL6CZFZpZQQ0/hWZWsO93EPHWY58s5b25G7hx5AEc2TPT6zhSC5GsO2aWChxHtWnLzexyM7s8ePdMYJ6ZzQYeAcY453R2Lor175DO3af155tlW7jzvQVexxHx/b5TYUmwwdMQTRHfqe0ZvLRIBxGJlP/8uJG/friY0wa3Z9wRXb2OI7UUybrjnNsBtNht21PVbj8GPBapz5fIOGNoBxZsKODvX62gZ+s0zjlI10SKd/y+71RUWtXg6Ro8Ef+p07fWzFoBKbvuO+dWhy2RSBgt2ljIda/MYmCHdO4+vT9mmlTFr1R3pDZuPrE3S/OKuPXteXRpmcoh3Vrs+0Ui9cBvNaywpBxA16uL+FBIFymY2clmtgRYAXwOrATej0Aukf22bUcZl774A6nJCTx9fjYpifFeR5I6UN2RUMTHGY+MHUxWy1SumDSDVVt2eB1JGji/1rCfhmhqkhURvwn1KvQ7gIOBxc65LlQtEvxd2FOJ7KfyygBXTsohN7+Up84fSpv0lH2/SKKV6o6EpGlKIn+/IBuAX70w/b9nIkQ8UucaZmbPmtkmM5tXw2O/MTNnZi3DG7fKriGaugZPxH9CbfDKnXNbgDgzi3POfQpkRyCXyH654935fLt8C3ed3p8hnZp7HUf2j+qOhCyrZSpPnDuElZt3cM3kmVRUBryOJA3X/tSw54GRu280s47A8UDEhnnuOoOnIZoi/hNqg7fdzJoAXwCTzOxhQONfJKr849uVvPjtKn59eBfOHNrB6ziy/1R3pE4O7daS20/px2eL8vjjOz+iiVDFI3WuYc65L4CtNTz0IHADNS+kHhZFmkVTxLdCbfBOAYqB64APgGXASeEOJVJXXy3ZzG3/ms/RB7TiplG9vY4j4aG6I3V2zkGduOzIrkz6fjV/+3K513GkYQprDTOzU4B1zrnZ+3jeODObbmbT8/LyQv6cwuAQzdQkNXgiflPbdfC6m9lw59wO51zAOVfhnHsByAGaRTaiSO0szyviykkz6JaZysNjBhEfpxkz/Ux1R8LlxhMO4Bf923LX1IW8N2eD13GkgYhEDTOzxsAtwK37eq5zbqJzLts5l52ZGfr6r4Ul5TRJTiBOf0tFfKe2Z/AeAmpalDM/+JiIp/KLy7n0hekkxMfxzIUHatav2KC6I2ERF2f8dfRAhnZuznWvzmLGqppGvImEXSRqWDegCzDbzFYCHYAcM2tTx/fbo6KSCg3PFPGp2jZ4rZ1zc3ffGNyWFdZEIiEqrwxw9eQc1mwr5qnzhtIxo7HXkSQ8VHckbFIS4/nbBdm0S0/h1y/OYOVmXcYpERf2Guacm+uca+Wcy3LOZQFrgSHOuY37lbQGRaUVmmBFxKdq2+DtbShBo3AEEakL5xx/fOdHvlyymT+f2p9hXTK8jiTho7ojYZWRmsRzFw/DOccFz05jU0GJ15Ektu13DTOzycC3QC8zW2tmvwpLsloo1Bk8Ed+qbYM33cx+vftGM7sUmBHeSCK198xXK3j5+9VcfmQ3Rh/Y0es4El6qOxJ2XVqm8tzFw9hcVMoFz04jf6fWyJOI2e8a5pwb65xr65xLdM51cM49s9vjWc65zWHK+z8KSytoossdRHyptodmJgBvmtm5/FSUsoEk4LRIBBPZl//8uJE/T13AqH5tuOGEXl7HkfBT3ZGIGNSxGU+fP5RLnv+BX78wnRd/NYyUxHivY0ns8XUNKywpp0MzDZYQ8aNaNXjOuVzgUDMbAfQLbn7POfdJOEIELxQuBCqBCuecFjGWvZq3Lp/xU2YxoH06D4wepFm+YlCk6440bIf3yOSB0YO4dspMrn55Jk+dN4SE+FBXDhLZM7/XME2yIuJfIX1znXOfAp9GKMuISA0zkNiyIX8nv3rhBzJSk/jbhdk0StKR91gWqbqzrwNLZmbAw8CJVK1hdZFzLifcOcQ7Jw1sx/biMv7w9o/c9MZc7j1jgA4WSdhFeN8pYjTJioh/6ZsrvlJYUs7Fz/3AjtJKXrtiGK3SUryOJP62twNLo4AewZ+DgCeDvyWGnH9IFpuLynj44yU0Sozn9lP6UtXbizRcFZUBissqaaIzeCK+FC3fXAf8x8wc8LRzbqLXgST6lFcGuHJSDks3FfHsRQdyQJumXkeS2HYK8KJzzgHfmVkzM2vrnNNK2TFmwrE92FleycQvlpOUEMfvf9FbTZ40aDtKKwG0pqyIT0VLg3eYc26dmbUCPjSzhc65L3Y9aGbjgHEAnTp18iqjeMg5x81vzOXLJZu598wBHNEz0+tI4n/7OrDUHlhT7f7a4DY1eDHGzLh51AGUVQR45qsVJCfEcf0JvdTkSYNVWFo1u2yahmiK+FJUfHOdc+uCvzeZ2ZvAMOCLao9PBCYCZGdnO09Ciqce/ngJr81Yy/hjejA6W8shSFjs9cBSbekAVGwwM/54Uh9KKwI88dkykhLimHBsT69jiXiisKQCQEM0RXzK8ynDzCzVzNJ23QaOB+Z5m0qiyavT1/DQR0s4c2gHJhzbw+s4EiOqH1gCdh1Yqm4dUP1oQofgtt3fZ6JzLts5l52ZqTPLfmZm/PnUfpw5tAMPfbSERz9e4nUkEU8UlVY1eJpFU8SfouGb25qqdWKgKs/LzrkPvI0k0eKzRZu45Y25HN6jJXef3l9DpiQsggeT4pxzhdUOLN2+29PeAa42sylUTa6Sr+vvYl9cnPGXMwZQGXD89cPFlFRU8tvjNVxTGpaiXWfwNERTxJc8/+Y655YDA73OIdFn5uptXPFSDr3apPHEuUNI1BpVEj41Hlgys8sBnHNPAVOpWiJhKVXLJFzsUVapZ/Fxxv1nDSQ5IY7HP11GSXlAE69Ig1JQErwGT2fwRHxJ31yJSks3FXLx8z/Qqmkyz188TDN5SVjt6cBSsLHbddsBV9VnLoke8XHGXaf1JyUxnme+WkFJeSV3nNJP6+RJg/DTEE397RXxIzV4EnU25O/kgmemkRAXx4uXDCMzLdnrSCLSAMXFVU28kpIYz1OfV53J+8sZ/UnQaAKJcYUaoinia/rmSlTZXlzGBc9Mo6CkginjDqZzi1SvI4lIA2Zm3DiyF42T4nngw8VsLy7j0XMG0zhJfz4ldhWVVBBn0Dgp3usoIlIHOgwpUWNHaQWXPP8Dq7YUM/GCofRrn+51JBERzIxrj+nBHaf249NFmzjnb9+zpajU61giEVNUWkGT5ARddyriU2rwJCqUlFfy6xenM3ttPo+MHcSh3Vp6HUlE5H+cf3BnnjxvKAs2FHDmU9+yekux15FEIqKgpFzX34n4mBo88Vx5ZYCrJuXwzbIt3HfmAEb2a+t1JBGRGp3Qtw0v//ogthWXcfqTXzNn7XavI4mEXVFJhWbQFPExNXjiqcqA47pXZvHxwk3ceWo/Th/SwetIIiJ7NbRzBq9dfijJCfGMfvpb3p2z3utIImG1a4imiPiTGjzxTCDguPmNObw7ZwO3nHgA5x3c2etIIiK10r1VE966ajj92qVz9cszuf/fiwgEnNexRMKisKSCJjqDJ+JbavDEE4GA49Z35vHq9LVce0wPxh3RzetIIiIhyUxLZtKvD+Ls7I489ulSLntpxn/XDxPxs6LSCl2DJ+JjavCk3gUCjj+8PY+XvlvN5Ud247pje3gdSUSkTpIT4rnnjP7cdlIfPlm4idOf+JoVm3d4HUtkvxSWaIimiJ+pwZN6FQg4fv/2PCZ9v5orj+rGjSN7aRpmEfE1M+Oi4V144eJhbCos5aRHv+Jfs3VdnvhXYUm5JlkR8TE1eFJvAgHH796ax8vB5u76E9TciUjsOKxHS6Zeezg9Wzfhmskz+f1bcykpr/Q6lkhIyioClFYESNMZPBHfUoMn9aIy4PjdW3OZPG01V41Qcycisalds0a8ctkhXHZEV176bjWnP/GNhmyKr+y6jlSTrIj4lxo8ibiyigDjp8xk8rQ1XD2iO789Xs2diMSuxPg4bj6xN89elM36/J384pEvmfT9KpzTLJsS/YpKgg2ezuCJ+JYaPImonWWVjPvHdN6ds4GbRh3Ab3XmTjxmZh3N7FMzm29mP5rZ+Bqec5SZ5ZvZrODPrV5kFX87+oDWTL32cIZ0as7v3pzHhc/9wMb8Eq9jiexVYWk5gGbRFPExNXgSMfk7y7ng2e/5fHEed5/en8uP1FIIEhUqgN845/oABwNXmVmfGp73pXNuUPDn9vqNKLGiXbNGvHjJMO44pS8/rNjK8Q9+zpsz1+psnuyTmT1rZpvMbF61bfeZ2UIzm2Nmb5pZs3B/bmHwDJ4mWRHxLzV4EhF5haWMnfgds9Zs59Gxgxk7rJPXkUQAcM5tcM7lBG8XAguA9t6mklgWF2ecf0gW748/nJ6t07juldlc8vwPrNla7HU0iW7PAyN32/Yh0M85NwBYDNwc7g8tUoMn4ntq8CTsluQWctoTX7N8cxETL8jmlwPaeR1JpEZmlgUMBr6v4eFDzGy2mb1vZn3rNZjEpKyWqbxy2SH8/he9mbZiK8c9+DmPf7qUsoqA19EkCjnnvgC27rbtP865iuDd74AO4f7c/06yomvwRHxLDZ6E1ddLN3P6k99QUl7JlHGHMKJXK68jidTIzJoArwMTnHMFuz2cA3R2zg0EHgXe2sv7jDOz6WY2PS8vL3KBJSbExxmXHt6Vj35zJCN6teK+fy9i1MNf8M2yzV5HE/+5BHg/3G9aWFJ1DZ5m0RTxLzV4Ejav/rCGC5+dRpumKbx55XAGdQz7pQEiYWFmiVQ1d5Occ2/s/rhzrsA5VxS8PRVINLOWNb2Xc26icy7bOZedmZkZ0dwSO9qmN+LJ84by3EUHUlYZ4Jy/fc+4F6ezLK/I62jiA2b2O6quJ560l+fU6eBTYfAMXlNNsiLiW2rwZL8FAo77/r2QG16fw8FdW/DaFYfSMaOx17FEamRV07g+Ayxwzj2wh+e0CT4PMxtGVa3cUn8ppaEYcUAr/jPhSK4/oRdfL93M8Q9+wa1vz2NLUanX0SRKmdlFwC+Bc91eZuup68GnopIKEuKM5ATtIor4lc6/y37ZXlzG+Cmz+HxxHmMO7Mgdp/YjMV5/FCSqDQfOB+aa2azgtluATgDOuaeAM4ErzKwC2AmM2duOlMj+aJQUz1UjunP2gR15+KMlTPp+NW/krOPSw7tw8fAupDfSmRSpYmYjgRuAI51zEZmlp7CkgiYpCVrSSMTH1OBJnc1bl8/lL81gU0Epd57aj3MP6qQ/CBL1nHNfAXv9H9U59xjwWP0kEqnSskkyd5zajwsPzeK+fy/koY+W8MyXK7h4eBaXHNaFZo2TvI4o9cjMJgNHAS3NbC3wR6pmzUwGPgz+vf3OOXd5OD+3qLRCM2iK+Jy+wVInr/ywmj+8/SMtU5N49fJDdL2diEiYdG/VhKfPz+bH9fk89slSHvlkKc98tYILDs3i4kOzaNU0xeuIUg+cc2Nr2PxMpD+3sKScJsk6ayziZ2rwJCT5O8v50zs/8sbMdRzeoyUPjxlMRqqOKouIhFvfduk8ed5QFm4s4NFPlvLU58v4+5fL+eWAdlwyvAv9O6R7HVFiUGFJBWlaIkHE1/QNllr7eulmrv/nbHILS5lwbA+uOboH8XEakikiEkkHtGnK4+cMYeXmHTz/zUr+OX0Nb85cx4FZzbnw0CyO69Oa5IR4r2NKjCgqraCNzhKL+JoaPNmnnWWV/OWDhTz/zUq6ZqbyxhWHMlBDMkVE6lVWy1RuO7kv/3d8T179YQ3Pf7OSq1+eSfPGiZw2uANnH9iRXm3SvI4pPldYUkH3Vto9FPEzfYNlr75eupk/vDWP5Zt3cPHwLG4ceQApiTpSLCLilaYpiVx6eFcuHt6Fr5Zu5tUf1vCP71by7NcrGNixGacNaseJ/dvqWj2pk6LSCppoiKaIr+kbLDVat30nf35vPlPnbqRTRmMmXXoQw7vXuM6ziIh4ID7OOLJnJkf2zGRLUSlvzlzHazPWctu/5vOnd+dzUJcMThrYjpF929CiSbLXccUnikoqSNMi5yK+pgZP/kdJeSV/+2I5j3+2FIDfHNeTXx/RVWftRESiWIsmyVx6eFcuPbwrSzcV8q/ZG3h3znp+9+Y8fv/WPIZ0as4xvVtxzAGt6dm6iZa0kRqVlFdSVhnQMgkiPqdvsABVRf2f09fw5GfLWJ9fwon92/C7X/ShfbNGXkcTEZEQdG+VxnXHpTHh2B4s2FDIf+Zv5OMFm7j3g0Xc+8EiOjRvxOE9MhnevQWHdG2hs3vyX0WlFQBq8ER8Tt/gBq6kvJLJ01bz1OfLyC0oZWjn5tx/1kAO1XBMERFfMzP6tGtKn3ZNmXBsT3ILSvhk4SY+WbiJd2evZ/K01QD0btuUQ7q2IDurOdmdm+vavQasqKSqwdM1eCL+pm9wA7V2WzGv/rCGyT+sIa+wlGFdMnhw9CAO6dZCQ3dERGJQ66YpjB3WibHDOlFRGWDuuny+WbaFr5duZtL3q3j26xUAdGjeiKGdmzOwQzP6d0inT9umpGqHv0EoVIMnEhP0DW5AyisDfLxgE1N+WM3ni/MAOKJHJleM7cbBXVt4nE5EROpLQnwcgzs1Z3Cn5lw1ojtlFQF+XJ/PjFXbyFm9jW+XbeHtWesBMINumU3o164pvdo0pVebJvRsnUb7Zo10QDDGFJaWA2iSFRGfU4MX4wpLyvlyyWY+mp/Lp4s2sa24nDZNU7hmRHdGH9iRDs0bex1RREQ8lpTwU8O3S25BCXPX5jNvfT7z1uXz/YqtvBVs+qDqLE+3zFSyWqbSpdpPp4zGpDdKVPPnQ7vO4OkaPBF/i4pvsJmNBB4G4oG/O+fu8TiSbxWVVjBn7XZmrt7Od8u38N3yLZRXOpo1TuToXq34xYC2HNkzk4T4OK+jiohIFGvdNIXWfVI4tk/r/27L31nO0k2FLNpYxKKNBSzfvIPpK7fxzuz1OPfTa9OSE2jfvBEdMxrTvlkj2qan0CY9hbbpVbcz05I1O3MU0jV4IrHB82+wmcUDjwPHAWuBH8zsHefcfG+TRbeS8kpWby1med4OVm7ZwfK8IuaszWdxbiGB4B/Z7q2acPHwLhzbuzVDOjVTUycStK+DSmaWDLwIDAW2AGc751bWd06RaJPeKJGhnTMY2jnjf7bv+pu0YvMO1mwtZu22nazZWsyqLTv4btkWCoOzM1aXlpJAZloymU2SaZmWTIvUJJo3TqJFkyQyUpNo1iiJZo0TSW+UlCPNEQAAIABJREFUSHrjRNKSE3RWMMI0i6ZIbIiGb/AwYKlzbjmAmU0BTgH2q8ErKq1gc2FpGOLVzO1+3+2+peo5P212OFe1rTLgqAxU3a90jvLKAGUVAcoqA5RXBNhZXsmO0kqKyyooKq2gqKSCrTvKyCsqJa+wlM1FpWzZUfY/R0tbNkmiT7t0/p+9e4+Psy7z//+6ZiaTQ5s2bZOW0gMtUEBAKBIBFV1AUVQEV0FgPYCy29X1vB5WdL+I7s9dT6urq/t1+xC+HERWBdTKosgiCro9WLBAS4WW0kJLoUnanJPJJLl+f9x3yhBymCYzmbnvvJ+Pxzxyzz137vtKaC7u6/6c3nDCYZyytI6VS+qoq0kX54cXibA8HypdCRxw96PN7FLgK8AlUx+tSDRUVSQ5ZkEtxyyoHfHzjt4sz7X3srcteDV1BP8/G/r/2tZn2tnf3Udrd3bUayQsaFmqraqgtirFrKoKZlQmmVGZYmZlihnhqyadpCadpKoi+FpdEbwqw69VFQkWzKrSxDEj6OgNfv8zVeCJRFo5/AUvAp7Oeb8bOH2yJ7370Wf5+I8emuxpykJ1RZK5M9LU11ayeE4NpyytY35tFUc2BOMdltXPYJYGRIvkK5+HShcC14TbtwLfMTPzkZ7kiMi4gqKsgqPnj1wADukfGORAd5b9XX20dvfR1pOltSdLe0+Wtp4sHb39tPdmae/pp6M3S1Nnhp0t3XRl+oNX30Be8Xzr0pVcuHJRIX60WOnI9JNOJqhMqfusSJSVQ4E3LjNbBawCWLp0aV7fc+rSuXzzkpOLGRbGC7uKjNZzZKhLiQEJMxIGiYSRNCORgHQySUXSqEglSCcTVFUkDj6JnJFOkUyoS4pIAeXzUOngMe7eb2ZtwDygeUoiFJmmUslE0G2zdmKLrw8OOr39A3T3DdDTF37NDtB78DVIpn+Al+VMJiPPu+Dkwzl+4axShyEik1QOBd4eYEnO+8XhvoPcfTWwGqCxsTGvJ+hL59WwdJ5miBSR4prIAygRKY5EwqhJp6hJl8PtTfSccPhsTjh8dqnDEJFJKodZN/4IrDCz5WaWBi4F1pQ4JhGJr3EfKuUeY2YpYDbBZCsv4u6r3b3R3RsbGhqKEK6IiIhI/kpe4Ll7P/Ah4C5gK/Bjd99S2qhEJMbyeai0Brg83L4I+I3G34mIiEgUlEUfBne/E7iz1HGISPyFY+qGHiolgevcfYuZfRHY6O5rgGuBm8xsO7CfoAgUERERKXtlUeCJiEylkR4qufvVOdu9wMVTHZeIiIjIZJW8i6aIiIiIiIgUhgo8ERERERGRmFCBJyIiIiIiEhMWtYnhzKwJ2DXKx/VEbyHiKMYMinuqRTHuQ4n5CHeP/BoDY+SnKP73A8U9laIYM0yPuCOfn3TvVDYU99SJYsxQoNwUuQJvLGa20d0bSx3HoYhizKC4p1oU445izMUS1d+F4p46UYwZFHccRPF3EcWYQXFPpSjGDIWLW100RUREREREYkIFnoiIiIiISEzErcBbXeoAJiCKMYPinmpRjDuKMRdLVH8XinvqRDFmUNxxEMXfRRRjBsU9laIYMxQo7liNwRMREREREZnO4taCJyIiIiIiMm3FosAzs/PM7DEz225mnyl1PKMxs+vMbJ+Zbc7ZN9fM7jazbeHXOaWMcSRmtsTM7jWzR81si5l9NNxftrGbWZWZbTCzh8KYvxDuX25m68N/Kz8ys3SpYx2JmSXN7E9mdkf4vuzjNrOdZvaImW0ys43hvrL9NzJVlJ+KJ4q5CaKdn5Sb4kO5qXiUm0pD+el5kS/wzCwJfBd4I3A8cJmZHV/aqEZ1PXDesH2fAe5x9xXAPeH7ctMPfMLdjwfOAD4Y/o7LOfYMcI67nwysBM4zszOArwDfdPejgQPAlSWMcSwfBbbmvI9K3Ge7+8qcKX7L+d9I0Sk/FV0UcxNEOz8pN8WAclPRKTeVhvLTEHeP9At4BXBXzvurgKtKHdcY8S4DNue8fwxYGG4vBB4rdYx5/Aw/B86NSuxADfAgcDrB4pGpkf7tlMsLWBz+QZ8D3AFYROLeCdQP2xeJfyNF/J0oP01t/JHKTWF8kclPyk3xeSk3TXn8yk3Fj1f5KecV+RY8YBHwdM773eG+qFjg7nvD7WeBBaUMZjxmtgw4BVhPmcceNtVvAvYBdwNPAK3u3h8eUq7/Vv4N+DQwGL6fRzTiduDXZvaAma0K95X1v5EpoPw0RaKUmyCy+Um5KT6Um6aIctOUUX7KkSpUdDJ57u5mVrbTmprZTOA24GPu3m5mBz8rx9jdfQBYaWZ1wE+B40oc0rjM7Hxgn7s/YGZnlTqeQ3Smu+8xs/nA3Wb259wPy/HfiOSvnP/7RS03QfTyk3KTlKty/u+n3DQ1lJ9eLA4teHuAJTnvF4f7ouI5M1sIEH7dV+J4RmRmFQRJ6mZ3vz3cHYnY3b0VuJegeb7OzIYebJTjv5VXAReY2U7gvwi6GnyL8o8bd98Tft1H8D+F04jIv5EiUn4qsijnJohUflJuihflpiJTbppSyk/DxKHA+yOwIpwpJw1cCqwpcUyHYg1webh9OUE/7bJiwSOna4Gt7v6NnI/KNnYzawifPmFm1QR937cSJKuLwsPKKmYAd7/K3Re7+zKCf8u/cfd3UuZxm9kMM6sd2gZeD2ymjP+NTBHlpyKKYm6CaOYn5abYUW4qIuWmqaX8NIJSDy4sxAt4E/A4QT/hz5U6njHivAXYC2QJ+gJfSdBH+B5gG/A/wNxSxzlC3GcS9BF+GNgUvt5UzrEDJwF/CmPeDFwd7j8S2ABsB34CVJY61jF+hrOAO6IQdxjfQ+Fry9DfYTn/G5nC343yU/FijlxuCuOOdH5SborHS7mpqDErN5XuZ1B+csfCE4mIiIiIiEjExaGLpoiIiIiIiKACT0REREREJDZU4ImIiIiIiMSECjwREREREZGYUIEnIiIiIiISEyrwZMLM7HNmtsXMHjazTWZ2+gTP81YzO36SsRxuZrdO5hwiEl2j5SMz+5iZ1Yzxfd8fyj9m1jkFcd45tM6UiJSWmQ2E+WKzmf0iZw24Me8pzGyZmW3O4/zHhef/k5kdVeDYvz/evVMh7q/yiGOlmb1pkueoM7O/K1RMogJPJsjMXgGcD7zM3U8CXgc8PcHTvRWYcAIys5S7P+PuF41/tIjEzTj56GPAiAWemSXd/a/d/dEpiNHMLOHub3L31mJfT0Ty0uPuK939RGA/8EGAAt5TvBW41d1PcfcnhnYO5YPJnDjP3HXI91dmljrEUFYSrPE3mfPWASrwCkgFnkzUQqDZ3TMA7t7s7s8AmNlOM/uqmT1iZhvM7Ohw/zIz+034hP0eM1tqZq8ELgC+Fj7lesETLjO73sy+Z2YbzexxMzs/3H+Fma0xs98A9+Q+TTOzpJl9PXwi97CZfTjcf6qZ/c7MHjCzu8xs4VT9skSkqEbMR2b2EeBw4F4zuxeCVjoz+1czewh4hZn91swac09mZvVmttbM3mxmDWZ2m5n9MXy9avjFw3z08/Bc28zs8+H+ZWb2mJndSLBo8JIwP9aHn78nzFEPmdlN4b5xryciRbEWWAQvbKEzsxPCe5lN4d/ritxvMrMjwxa6lw/b/yaCB0wfMLN7R8kHnwr/zh82sy/kfO+7cq75n2aWHB5sbu4K89qXwlyyzswWjHR/Fb5+Fd4H3W9mx4XfP3SvtR746hjHXRzeWz1kZveZWRr4InBJeI1LhsU4/F5tZnj/92B4j3hheOiXgaPCc3wt/N4RfzeSp1Kv4q5XNF/ATGAT8DjwH8Bf5Hy2E/hcuP0e4I5w+xfA5eH2+4CfhdvXAxeNcp3rgV8RPIxYAewGqoArwu254XHLgM3h9geAW4FU+H4uUAH8L9AQ7rsEuK7Uv0e99NJr8q888lF9znsH3pHz/rdAY7jdCSwA1gPnhvt+CJwZbi8Fto5w/SuAvcA8oJrg5q0xzEuDwBnD4wFOCOOtD/fPzfd6eumlV2FeQGf4NQn8BDgvfJ97T/HvwDvD7XT4N74s/Ds/FvgTcPIo578G+GTOOQ/mA+D1wGrAwnucO4DXAC8huF+qCI/7D+A9I5w7N3c58JZw+6vAP4bb15NzfwXcA6wIt08HfpNz3B1AcpzjHgEWhdt14dcrgO+M8vNfwQvv1VLArHC7Htge/vwHf99j/W5K/e8lSq9DbYYVAcDdO83sVODVwNnAj8zsM+5+fXjILTlfvxluvwJ4W7h9E0ESyseP3X0Q2GZmO4Djwv13u/v+EY5/HfA9d+8PY91vZicCJwJ3mxkEyXxvntcXkTKWRz7KNQDcNsqpKghubD7o7r8L970OOD7MGwCzzGymuw8fr3e3u7cAmNntwJnAz4Bd7r5uhGudA/zE3ZvDn2Eol+V7PRGZvGoz20TQcrcVuHuEY9YCnzOzxcDt7r4t/PtsAH4OvM3z7+admw9eH77+FL6fSfAg+yTgVOCP4XWqgX3jnLePoAgCeAA4d/gBZjYTeCXwk5z8UplzyE/cfWCc4/4AXG9mPwZuHyemIbn3agb8s5m9hqDYXUTwUG240X439+V5zWlPBZ5MmLsPEDxB+q2ZPQJcTvAUCIKnSYywPaFLjfK+6xDOYcAWd3/FJGMRkTI0Tj7K1RseO5J+gpujNwBDBV6C4Il773ghjPL+UPLUoVxPRCavx91XWjAR010EY/C+nXuAu/8w7Lr4ZuBOM/tbYAfQBjxF8DDnUQAz+3/AKcAz7j7SuLTcfGDAv7j7f+YeYMGwkhvc/apD+DmyHjZ9ETzEGun+PgG0uvvKUc7RNd5x7v5+CyawejPwQPhgbTy5P/M7CQrjU909a2Y7CXplDTfi70bypzF4MiFmduywfugrgV057y/J+bo23P5f4NJw+53A/eF2B1A7xuUuNrOEBePzjgQeGye8u4G/tXBAr5nNDb+nwYLJGDCzCjM7YZzziEgEjJOPxssvuZyg+/hxZvYP4b5fAx/OudZoN0fnmtlcM6smmNjgD+Nc6zcEuW1eeN65h3g9ESkQd+8GPgJ8woZNBmJmRwI73P3bBC12J4Uf9QF/CbzHzP4qPM97PZi0JZ9ZJe8C3he2mGFmi8xsPkEvgovCbcK8csQEf7SD+c/d24Enzezi8LxmZicP/4axjjOzo9x9vbtfDTQBSzi0HDsb2BcWd2cDQz/X8HOM9ruRPKnAk4maCdxgZo+a2cMEszRdk/P5nHD/R4GPh/s+DLw33P/u8DOA/wI+ZaNPI/wUsAH4JfD+PJ5sfz/8noctmEjhr9y9D7gI+Eq4bxNBFwQRib6x8tFq4FcWTrIynrB17zLgHAum7f4I0BgO9H8UeP8o37qBoOvnw8Bt7r5xnOtsAb4E/C7MSd8IP8r3eiJSQO7+J4K/38uGffQOYHPYlfNE4Mac7+kimMH342Z2wSFe79cEY27Xhr0ObgVqw+6e/wj8OsxndxNMJDURw++v3glcGeacLcCFo3zfaMd9LZwcZTPBQ/uHgHsJupW/aJKVEdxMkN8eIZij4c8AYff2P1gwgcvXRvvdTOg3ME3Z8y26IoURNrk3Do0tmeS5rieYpEVr3IlIWTKzKwhy3odKHYuIiIha8ERERERERGJCLXgiIiIiIiIxoRY8ERERERGRmFCBJyIiIiIiEhMq8ERERERERGJCBZ6IiIiIiEhMqMATERERERGJiaIXeGaWDBdYvGOEzyrN7Edmtt3M1pvZsmLHIyIiIiIiEldT0YL3UWDrKJ9dCRxw96OBbwJfmYJ4RERERMqamV1nZvvMbHPOvq+Z2Z/N7GEz+6mZ1ZUyRhEpT0VdB8/MFgM3AF8C/t7dzx/2+V3ANe6+1sxSwLNAg48RVH19vS9btqxoMYvI1HvggQea3b2h1HFMlvKTSPyUKj+Z2WuATuBGdz8x3Pd64Dfu3m9mXwFw938Y71zKTSLxM1ZuShX52v8GfBqoHeXzRcDTAGGyagPmAc2jnXDZsmVs3Lix0HGKSAmZ2a5Sx1AIyk8i8VOq/OTu9w0fuuLuv855uw64KJ9zKTeJxM9YualoXTTN7Hxgn7s/UIBzrTKzjWa2sampqQDRiYiIiETa+4BfljoIESk/xRyD9yrgAjPbCfwXcI6Z/WDYMXuAJQBhF83ZQMvwE7n7andvdPfGhobI9+ISERERmTAz+xzQD9w8xjF6OC4yTRWtwHP3q9x9sbsvAy4l6DP+rmGHrQEuD7cvCo8p3qBAERERkQgzsyuA84F3jnXPpIfjItNXscfgvYiZfRHY6O5rgGuBm8xsO7CfoBAUERERkWHM7DyCuQ3+wt27Sx2PiJSnKSnw3P23wG/D7atz9vcCF09FDCIiIiJRYWa3AGcB9Wa2G/g8cBVQCdxtZgDr3P39JQtSRMrSlLfgiYiIiMjY3P2yEXZfO+WBiEjkxLbA++PO/fxg3S7+z/nHUz+zstThiIiUjZbODHtae2jp6mN/Zx/7u/po68mSHRikb2CQ/gEnOzDIwKDjgDu4B9sicfCuM47g1CPmlDoMEYmwwUEn0z9Ib3aATP8gmf4BerPB10z/IJnsi/f1hcdlssH/b5/fF+xfNm8GH3ntiknHFtsC75nWHn6+6Rk+8toVKvBEZFrrzQ6w4cn93L+tifu3NfPnZztedEzCoCKZIJ1MkEoaqWSCVMIwwMwwI3hhU/8DiBTYm1+6sNQhiEiRuDs92QG6+wbo6Qu+dvf105MN3g991pvzvic7QG9fUIwdfH/wFRRxvf3Pbw8VaJNhBpWp4P+76VSSylSC7EBhHqXGtsCrSAYThGYn+csXEYmq7MAgX7/rMa7/351k+gdJJxM0LpvDp887lqMbZjJvZpq5MyqZNzNNbWWKcEyPiIjIlBkYdDoz/cGrt//gdlf4vqsv3M4EhVpnpp/uzABdff109w3QlQmOeb6YGzjkGCpTCarTSapSSarTyRe8r5+ZoqoiefBVmUqE2wkqUyO/r6xIHDy2MpUknUoc/DydSlCZCh+iFun/u7Et8NJhgdfXrwJPRKaffe29fOiHf2LDzv287ZRFXLDycE5bPpeadGzTvoiIlEBf/yBtPVnae7O09QSv9p4s7b394dcs7T39tPdm6ejtp6M3+LzzYAGXX0GWTiaYUZmkJp1iZmWKmsokM9Ip5s5IMyOdpKYyxYx0kup0ipp0kpp0kuqK4PiadFC4Be+DQq06PKYylSSZiNcDztj+nz6dUoEnItPTuh0tfOiHf6Ir08+/XbKSt56yqNQhiYhImRvq2ri/q+/g60B3H/u7srR2B+9bu7O09vRxoCso5Fq7+8Yt0NLJBLOqU8yqqqC2KkVtVQWHzao6uD2zMhVup5hRmTr4fkZlihnpYLsmnTp4by/jU4EnIhIj379/B//yyz9zxNwabv7r0zn2sNpShyQiIiXi7nRk+tnXnqGpI0Nz5/NfmzsztHT2hdt9tHRl6M2OfN+cMKirSVNXU0FddQULZ1dx3MJa6qrTzK6uoK6mgtnVwWtW9fPbtVVB90aZWrEt8IbG4E12AKSISFTcv62J/++/t/KGExbw9YtPpraqotQhiYhIkQwMOvs6enmmtYdn2zLsbevhufZenm3P8FxbL8919LKvPUNP9sUtbKmEMW9mmvqZlcybWclRueOyZ6SZMyPN3KFXTZraqhSJmHVjjLPYFniVasETkWlkcND56q8eY1FdNd++7BQqU3piKiISZdmBQZ5p7eHp/T3sPtDN7gPB1z2tPTzT2suz7b0MDL5w1sXKVIKFs6uYP6uKkxbXMb+2kvm1lSyYVUVDbWXwmlnJ7OoKFWwxFtsC72AXTbXgicg08MvNz/LInja+fvHJKu5ERCIiOzDI0/u72dHUxZPNXTzZ0sVTLd3s2t/FM60vLOASBgtnV7NoTjWnLZ/L4XVVHF5XzeGzqzlsdhULZ1cxu7pCMyJLjAs8LZMgItNE/8Ag//rrx1gxfyZ/qQlVRETKTk/fAE80dbJtXwfbnutk275Otu/r5Kn93S8o4upqKjhibg0rl8zhwpNrWDqvhiVzalg8JyjihoYgiYwltgVehbpoisg0cesDu9nR3MV/vvvU2E31LCISJe7O3rZetjzTzta97fz52Xb+vLeDJ1u68LCOSyWM5fUzOO6wWt780oUsr5/B8oYZHFk/g7qadGl/AImF2BZ4WgdPRKaD3uwA37pnGyuX1PH64xeUOhwRkWmluTPDg7sO8PDuNh7Z08bmPW20dPUd/HzZvBqOO2wWF6w8nGMX1LJiQS1HzKtRS5wUVXwLvLAFL6MCT0Ri7Ka1u9jb1ss33rFS4y5ERIpocNB57LkONjy5nwefOsCDTx3g6f09ACQTxor5Mzn7uPmctHg2Jxw+m+MOq2VGZWxvtaWMFe1fnZlVAfcBleF1bnX3zw875grga8CecNd33P37hbj+82PwfJwjRUSiqb03y3d/u51Xr6jnFUfNK3U4IiKx4u78+dkO1j7RwrodLWzYuZ/W7iwA82srednSObz7jCN42dI5nHD4bKrTmuBKykMxHytkgHPcvdPMKoDfm9kv3X3dsON+5O4fKvTFtdC5iMTdtfc/SWt3lk+/4bhShyIiEgsHuvq4f3szv3usifu2NdHUkQFg6dwazn3JAs44ch6nLZ/L4jnV6jUhZatoBZ67O9AZvq0IX1PWnJZMGMmE0Tfw4sUdRUTi4Jeb9/Kqo+fx0sWzSx2KiEhkPdXSzV1bnuWuLc/ywFMHcIfZ1RW8ekU9rzmmgVcdXc+iuupShymSt6J2DDazJPAAcDTwXXdfP8Jhbzez1wCPAx9396cLdf10MqEWPBGJpebODI8/18lbtSyCiMgh29ncxc83PcOvtjzL1r3tALxk4Sw+fM4Kzj62gZMW12lWYomsohZ47j4ArDSzOuCnZnaiu2/OOeQXwC3unjGzvwVuAM4Zfh4zWwWsAli6dGne169ImsbgiciYzGwJcCOwgKCXwWp3/5aZzQV+BCwDdgLvcPcDpYpzuPU79gNwxpEaeyciko8DXX3c8chefvrgbh58qhUzOHXpHP7xzS/h9ccfxtJ5NaUOUaQgpmRqH3dvNbN7gfOAzTn7W3IO+z7w1VG+fzWwGqCxsTHvii2dSmoWTREZTz/wCXd/0MxqgQfM7G7gCuAed/+ymX0G+AzwDyWM8wXW7WhhRjrJSxepe6aIyGjcnXU79nPTup3c/ehzZAecYxfU8pk3HseFKw9n4Wx1vZT4KeYsmg1ANizuqoFzga8MO2ahu+8N314AbC1kDJUpddEUkbGFOWhvuN1hZluBRcCFwFnhYTcAv6WMCry1O1poXDZXaymJiIygK9PP7X/aw01rd/L4c53U1VTw7jOW8fZTF3H8wlmaIEVirZgteAuBG8JxeAngx+5+h5l9Edjo7muAj5jZBQRP0PcTPDEvmHQqQd+ACjwRyY+ZLQNOAdYDC3IeQD1L0IWzLDR1ZNi+r5OLTl1c6lBERMpKS2eGa3//JDet3UVHpp8TF83iqxedxAUnH05VhZYxkOmhmLNoPkxwozR8/9U521cBVxUrhoqkkVULnojkwcxmArcBH3P39tynu+7uZjZi9/CJjhGejHU7gt7tGn8nIhLY197L6vt2cPP6p+jtH+BNL13IlWcu55QldWqtk2lnSsbglYpa8EQkH+FanbcBN7v77eHu54a6kZvZQmDfSN870THCk7FuRwszK1OcePisqbiciEjZau3u49v3bOcH63fRPzDIW1cu4u/OPpqj588sdWgiJRPvAk/LJIjIOCx4tHstsNXdv5Hz0RrgcuDL4deflyC8Ea3d0cLLl80hpfF3IjJN9Q8M8sMNT/GNux+nvSfL21+2mA+efTTL6meUOjSRkot3gacWPBEZ36uAdwOPmNmmcN9nCQq7H5vZlcAu4B0liu8F9rX3sqOpi0tfvqTUoYiIlMTvtzXzxTu28PhznbziyHlc/ZbjeclC9WgQGRLrAq8imaCjt7/UYYhIGXP33wOjDdB47VTGko+1Gn8nItNUW3eWz6/ZzM82PcPSuTV8712n8oYTFmiMncgwsS7wKlMJWtRFU0RiZN2O/dRWpjjhcK1/JyLTx/3bmvjUTx6muTPDR1+7gg+cdZRmxRQZRawHcKiLpojEzbodLZy2fC7JhJ5Yi8SZmV1nZvvMbHPOvovNbIuZDZpZYynjmyo9fQNc/fPNvPvaDcyoTHL7372Sj597jIo7kTHEusCrSCbIqsATkZh4tq2XJ5u7eMVR6p4pMg1cD5w3bN9m4G3AfVMeTQk80dTJm//9fm5cu4v3vWo5//2RV3PS4rpShyVS9mLdRVOzaIpInGj9O5Hpw93vM7Nlw/ZtBabFmLPfb2vm725+gFQywQ//+nReeXR9qUMSiYx4F3gpFXgiEh/rdrQwqyql2eJEJNZuWreLa9Zs4eiGmXz/8kaWzK0pdUgikaICT0QkItbuaOG05fM0/k5ExmVmq4BVAEuXLi1xNPnpHxjki3c8yo1rd/Ha4+bzrctOYWZlrG9VRYoi1mPw0klNsiIi8bC3rYddLd0afycieXH31e7e6O6NDQ0NpQ5nXNmBQT74wwe5ce0uVr3mSFa/p1HFncgExfovZ2gWTXefFv3VRSS+Nu9pB+CUpZpgQETiZWDQ+fsfP8RdW57j6vOP531nLi91SCKRFvsWPHfoH/RShyIiMim7WroAOLJ+RokjEZGpYGa3AGuBY81st5ldaWZ/aWa7gVcA/21md5U2yskbHHQ+fevD/OKhZ/jMG49TcSdSALFvwYOg2b8iGetaVkRibmdLF7OrK6irSZc6FBGZAu5+2Sgf/XRKAykid+f//Hwztz24m4+9bgXv/4ujSh2SSCzEuuoZKuo00YqIRN2ulm6OmKeZ5EQkHtydf7pjKzevf4oPnHUUH33tilKHJBIbRSvwzKzKzDaY2UNmtsXMvjDCMZVm9iMC6PYIAAAgAElEQVQz225m64ev9zJZQy14KvBEJOqCAk/dM0UkHn644Smu+8OTvPdVy/j0G47VXAkiBVTMFrwMcI67nwysBM4zszOGHXMlcMDdjwa+CXylkAEMFXgZFXgiEmHZgUH2tPawTC14IhIDm/e08YU1j/KaYxr4P28+XsWdSIEVrcDzQGf4tiJ8DZ/t5ELghnD7VuC1VsC/8nTy+TF4IiJRtedADwODrhY8EYm89t4sf3fzg8ydkebfLllJQut6ihRcUcfgmVnSzDYB+4C73X39sEMWAU8DuHs/0AYUbJGng100VeCJSITtDGfQ1Bg8EYkyd+fTP3mYZ1p7+O47T2HuDE0aJVIMRS3w3H3A3VcCi4HTzOzEiZzHzFaZ2UYz29jU1JT396U1yYqIxMCulm5ABZ6IRNv/+8NOfrXlWT7zxuM49Yi5pQ5HJLamZBZNd28F7gXOG/bRHmAJgJmlgNlAywjfv9rdG929saGhIe/rapIVEYmDnS1d1KSTNMysLHUoIiIT8uBTB/jnO7dy7vELuFJr3YkUVTFn0Wwws7pwuxo4F/jzsMPWAJeH2xcBv3H3gq1KfnCZBHXRFJEIeyqcQVMTEYhIFPX1D/LJnzzEYbOr+PpFJyuXiRRZMRc6XwjcYGZJgkLyx+5+h5l9Edjo7muAa4GbzGw7sB+4tJABqAVPROJgZ0sXK+bXljoMEZEJuXHtTnY0dXHdFY3MrqkodTgisVe0As/dHwZOGWH/1TnbvcDFxYqhUgWeiETcwKDz9P4eXnf8glKHIiJyyFo6M3zrnm285pgGzj52fqnDEZkWpmQMXqloFk0Ribq9bT30DQyyTEskiEgEfePux+nuG+Dq81+irpkiUyTWBV6F1sETkYh7amgGzbmaQVNEomXr3nZu2fAU7z7jCI5WN3ORKRPrAk9j8ERkPGZ2nZntM7PNOftWmtk6M9sULtFyWqni2zlU4NWrBU9EosPd+eIvHmVWdQUfe92KUocjMq3Eu8DTOngiMr7refESLl8FvhCu43l1+L4kdrV0kU4lWDirqlQhiIgcsru2PMfaHS38/bnHUFejBc1FplJeBZ6ZVZvZscUOptCeH4NXsJUXRKSMTSRXuft9BLP4vmA3MCvcng08U4DwJmRXSzdL59aQSGjsikhURfU+aqJ6swN86c5HOWbBTP7qtKWlDkdk2hm3wDOztwCbgF+F71ea2ZpiB1YIasETmT4KnKs+BnzNzJ4Gvg5cVZgoD93Oli6NvxOJsCjfR03Uz/60h6f39/CPbz6eVDLWncVEylI+f3XXAKcBrQDuvglYXsSYCkZj8ESmlWsoXK76APBxd18CfJxgzc4RmdmqcJzexqampglebmTuzq5wkXMRiaxriOh91ES4Ozeu3cVxh9Xy6hX1pQ5HZFrKp8DLunvbsH2R6POYTBjJhNE3MFDqUESk+AqZqy4Hbg+3f0JwczYid1/t7o3u3tjQ0DDBy42sqSNDT3aAZfVqwROJsMjeR03En55u5dG97bzrjCO0LIJIieRT4G0xs78Ckma2wsz+HfjfIsdVMBVJI6sxeCLTQSFz1TPAX4Tb5wDbChHgodq1P5xBUy14IlEW6fuoQ/WDdbuYWZniracsKnUoItNWPgXeh4ETgAxwC9BOMD4lEtLJhLpoikwPE8pVZnYLsBY41sx2m9mVwN8A/2pmDwH/DKwqWtRj2NncBWgNPJGIi/R91KHY39XHHQ/v5W0vW8TMylSpwxGZtsb963P3buBz4Sty0qkkGRV4IrE30Vzl7peN8tGpkw5qkna1dJNMGIvmVJc6FBGZoKjfRx2Kn2x8mr7+Qd51xhGlDkVkWhu3wDOzexmhr7i7n1OUiAqsMqUWPJHpIOq5aiQ7W7pYPKeaCs1CJxJZccxNIxkcdH6wfhenL5/LMQtqSx2OyLSWT/v5J3O2q4C3A/3FCafwgjF4KvBEpoFI56qRPLVfM2iKxEDsctNIfretiaf39/AP5x1X6lBEpr18umg+MGzXH8xsQ5HiKbi0WvBEpoWo56rh3J0nm7t468q6UociIpMQt9w0mh+s3UVDbSWvP/6wUociMu3l00Vzbs7bBMG4lNl5fN8S4EZgAUHXhNXu/q1hx5wF/Bx4Mtx1u7t/Ma/I85ROJehTC55I7E00V5Wr1u4sHb39HDFPE6yIRFncctNInt7fzW8e28eHzz764BrEIlI6+XTRfICgQDOCLgVPAlfm8X39wCfc/UEzqwUeMLO73f3RYcfd7+7nH0rQhyKdTKiLpsj0MNFcVZaGlkhYpi6aIlEXq9w0kh9ueIqEGZedvrTUoYgI+XXRXD6RE7v7XmBvuN1hZluBRcDwAq+oKpIJzaIpMg1MNFeVq10twRIJWuRcJNrilpuGc3d++uAezj52Pgtna8ZfkXIwaoFnZm8b6xvd/fZ8L2Jmy4BTgPUjfPyKcK2pZ4BPuvuWfM+bj3QqQUdv7MYyi0iokLmqnOxs7sYMFs9RgScSRYXITWZ2HXA+sM/dTwz3zQV+BCwDdgLvcPcDk413orbt6+TZ9l4+fu6KUoUgIsOM1YL3ljE+cyCvmyYzmwncBnzM3duHffwgcIS7d5rZm4CfAS/KEGa2inCh4aVLD635vzKVoEUteCJxVpBcVW52tXSxcFYVVRXJUociIhNTiNx0PfAdgjkNhnwGuMfdv2xmnwnf/8NEg5ys+x5vAuDMFQ2lCkFEhhm1wHP390725GZWQVDc3TzSk6rcgs/d7zSz/zCzendvHnbcamA1QGNj44vWkhlLOqUxeCJxVohcVY527e9mqSZYEYmsQuQmd78v7AWV60LgrHD7BuC3lLDAu39bM0c1zGBRnbpnipSLfCZZwczeDJxAsH4LAOPNdmlmBlwLbHX3b4xyzGHAc+7uZnYawexSLXnGnpeKpGbRFJkuJpKrytWzbb2cfuTc8Q8UkbJX4Ny0IJznAOBZgtnKS6I3O8D6J1u49OWaXEWknOSzTML3gBrgbOD7wEVAPuu3vAp4N/CImW0K930WWArg7t8Lz/UBM+sHeoBL3f2QWujGk05qHTyR6WASuarsuDtNnRkaZlaWOhQRmaRi5qbwAfmI902TGd6Srwd2HaA3O8hrjqkvyvlFZGLyacF7pbufZGYPu/sXzOxfgV+O903u/nuCKYHHOuY7BH3Li0YLnYtMGxPKVeWoI9NPX/8g9SrwROKg0LnpOTNb6O57zWwhsG+kgyYzvCVf921roiJpnL58XjFOLyITlM9qlD3h124zOxzIAguLF1JhqYumyLQR6VyVq7kjA0B9bbrEkYhIARQ6N60BLg+3Lwd+PolzTcr9jzdz6hFzmFGZ14gfEZki+RR4d5hZHfA1glkvdwI/LGZQhVSpFjyR6SLSuSpXc2cfgFrwROJhwrnJzG4B1gLHmtluM7sS+DJwrpltA14Xvp9yTR0ZHt3bzqs1e6ZI2clnofN/CjdvM7M7gCp3bytuWIWTTgUteO5OMO+LiMRR1HNVrubOsAVPBZ5I5E0mN7n7ZaN89NqCBDcJf9geTHj+GhV4ImVn3BY8M3vYzD5rZke5eyZqN0zpZAJ36B8sSvdzESkTUc9VuVTgicRHnHJTrvu2NTGnpoITDp9V6lBEZJh8umi+BegHfmxmfzSzT5pZZObDrUgFP6LWwhOJvUjnqlzNHRkSBnNnaAyeSAzEJjcNcXfu39bMmSsaSCTUO0qk3Ixb4Ln7Lnf/qrufCvwVcBLwZNEjK5B0MvgRNQ5PJN6inqtyNXVmmDujkqRunEQiL065achjz3XQ1JHh1Su0PIJIOcp3ofMjgEvC1wDw6WIGVUjplAo8kekiyrkqV1NHH/Uz1XonEhdxyU1D7n88GH+nAk+kPOWz0Pl6oAL4MXCxu+8oelQFdLDAUxdNkViLeq7K1dyZoaFW4+9E4iBOuWnIfduaWDF/JgtnV5c6FBEZQT4teO9x98eKHkmRqIumyLQR6VyVq7kzw/L6GaUOQ0QKIza5CaA3O8CGJ/fzztOPKHUoIjKKfMbgRTopqQVPZHqIeq4a4u40d2bURVMkJuKSm4b8ced+Mv2DvPoYdc8UKVf5zKIZaWrBE5Eo6eoboDc7qCUSRKQsPfR0KwAvXza3xJGIyGjiX+BpmQQRGYOZXWdm+8xs87D9HzazP5vZFjP76lTF09QRrIGnMXgiUo52NHWxcHYVMyvzmqdPREog31k0Xwksyz3e3W8sUkwFVRG24GXUgicSexPMVdcD3wEOHmdmZwMXAie7e8bM5hc82FFokXOR+InyfdRwTzR1clTDzFKHISJjyGcWzZuAo4BNBFP7Ajg5N0PlTMskiEwPE81V7n6fmS0btvsDwJfdPRMes6+gwY6huUMFnkicRP0+Kpe780RTF29/2aJShyIiY8inBa8RON7dvdjBFEOlCjyR6aKQueoY4NVm9iWgF/iku/+xAOcd18EWvFpNsiISE5G+j8rV1JGhM9PPkWrBEylr+YzB2wwcdqgnNrMlZnavmT0ajmH56AjHmJl928y2m9nDZvayQ73OeIa6aGYHIp9XRWRsE8pVo0gBc4EzgE8BPzYzG+lAM1tlZhvNbGNTU9OkL9zU2YcZzK1RgScSE4XMTSW1vakTQF00RcpcPi149cCjZrYByAztdPcLxvm+fuAT7v6gmdUCD5jZ3e7+aM4xbwRWhK/Tgf8bfi2Y55dJGBjnSBGJuInmqpHsBm4Pn7hvMLPB8PwvquDcfTWwGqCxsXHST5KaOzPMrUmTSsZ+DiyR6aKQuamknmjqAuCo+VqnU6Sc5VPgXTORE7v7XmBvuN1hZluBRUBugXchcGN4E7XOzOrMbGH4vQWhMXgi08Y1BTzXz4CzgXvN7BggDTQX8PyjaurIaPydSLxcU+oACuWJfZ3UpJMcNquq1KGIyBjGLfDc/XdmtgB4ebhrw6FOOBBOYHAKsH7YR4uAp3Pe7w73vaDAM7NVwCqApUuXHsqln18HT100RWJtornKzG4BzgLqzWw38HngOuC6cOmEPuDyqRo/09yZ0RIJIjFSiPuocrGjuYsjG2YwSo91ESkT4/YBMrN3ABuAi4F3AOvN7KJ8L2BmM4HbgI+5e/tEgnT31e7e6O6NDQ0Nh/S9WuhcZHqYaK5y98vcfaG7V7j7Yne/1t373P1d7n6iu7/M3X9T7PiHNHdmqJ+p8XcicTHZ+6hy8sQ+LZEgEgX5dNH8HPDyoadNZtYA/A9w63jfaGYVBMXdze5++wiH7AGW5LxfHO4rGHXRFJk2JpyryklzR5+6aIrESyxyU0/fAHtae7ikYcn4B4tISeUzij8xrCtBSz7fF844dy2w1d2/Mcpha4D3hLNpngG0FXL8HajAE5lGJpSryklXpp+e7AD16qIpEieRz00AO5qDGTSPbNAEKyLlLp8WvF+Z2V3ALeH7S4A78/i+VwHvBh4xs03hvs8CSwHc/Xvhed4EbAe6gffmH3p+kgkjmTCyAyrwRGJuormqbBxcA08teCJxEvncBLBjaAZNddEUKXv5TLLyKTN7O0HBBrDa3X+ax/f9HhhzFG44acEH8wl0MiqSRp8KPJFYm2iuKifPF3gagycSF3HITQBPNHViBsvr1YInUu7yacHD3W8jGEsXSelkQl00RaaBqOeqpg614InEUdRzEwRr4C2eU01VRbLUoYjIOEYt8Mzs9+5+ppl1ALnTgxtB49usokdXIOlUkowKPJFYilOuaursA9AyCSIxEKfcBLCjqZMj69U9UyQKRi3w3P3M8Gvt1IVTHJWphMbgicRUnHJVc0cGM5g7Q100RaIuTrlpcNDZ0dTF6cvnlToUEclDPrNh3pTPvnJWkTR10RSJuTjkqubODHNq0lQkIzfBnoiMIg65aW97Lz3ZAY6ar/F3IlGQz13ECblvzCwFnFqccIojndIYPJFpIPK5Souci8RS5HPTE/uCJRI0g6ZINIxa4JnZVWG/8ZPMrN3MOsL3zwE/n7IICyCtLpoisRWnXNXcqUXOReIiTrlpR5PWwBOJklELPHf/l7Df+NfcfZa714avee5+1RTGOGkVyYSWSRCJqTjlqqaOjAo8kZgoZm4ys4+a2WYz22JmHytQyKN6oqmL2qoUDcpPIpGQzzIJnzWztwFnEswCdb+7/6y4YRVWOpnQLJoi8Rf5XBV00dQNlEjMFDQ3mdmJwN8ApwF9BAup3+Hu2wsS7QieaOrkqIaZmI25vLGIlIl8xuB9F3g/8AiwGXi/mX23qFEVmMbgiUwLkc5V3X39dPcNUF+rMXgiMVPo3PQSYL27d7t7P/A74G2TD3N0O5q61D1TJELyacE7B3iJuzuAmd0AbClqVAVWmUqwX100ReIu0rmquSNcA08teCJxU+jctBn4kpnNA3qANwEbJx3lKDoz/Tzb3qsJVkQiJJ8WvO3A0pz3S8J9kVGRVAueyDQQ6VzV1JkBoF6LnIvETUFzk7tvBb4C/Br4FbAJGBh+nJmtMrONZraxqalpopc7OMGKCjyR6MinwKsFtprZb83st8CjwCwzW2Nma4oaXYGkU5pkRWQaiHSuag4LPLXgicROwXOTu1/r7qe6+2uAA8DjIxyz2t0b3b2xoaFhwsE/ERZ4R2sNPJHIyKeL5tVFj6LI0mrBE5kOIp2rmjrCFjwVeCJxU/DcZGbz3X2fmS0lGH93RqGvMWRHUxfJhLF0rgo8kagYt8Bz99+Z2QLg5eGuDe6+r7hhFZbWwROJv6jnqqEWvHla6FwkVoqUm24Lx+BlgQ+6e+skzzeqJ5o6WTq3hnQqn05fIlIOxv1rNbN3ABuAi4F3AOvN7KI8vu86M9tnZptH+fwsM2szs03hq2hP3yu0TIJI7E00V5WL5s4MdTUVVCR1EyUSJ8XITe7+anc/3t1Pdvd7ChHnaJ7Y18VRmkFTJFLy6aL5OeDlQ0+bzKwB+B/g1nG+73rgO8CNYxxzv7ufn0cMk1KpZRJEpoOJ5qqy0NzRp+6ZIvEU2dzk7uxs6eLVK+pLHYqIHIJ8HhUnhnUlaMnn+9z9PmD/RAMrpKFJVsIZikUkniaUq8pFc2dGE6yIxFNkc1Omf5BM/yBz1XVcJFLyacH7lZndBdwSvr8EuLNA13+FmT0EPAN80t2LsmZVRTKBOwwMOqmkFeMSIlJ6xcxVRdfcmeGli+tKHYaIFF5kc1N7TxaAWVUVJY5ERA5FPpOsfMrM3gacGe5a7e4/LcC1HwSOcPdOM3sT8DNgxUgHmtkqYBXA0qVLRzpkTEMDg/sGBklpfItILE00V5nZdcD5wD53P3HYZ58Avg40uHtzoWPO1dzZR72ekovEThHvo4qubajAq1aBJxIl+bTg4e63A7cX8sLu3p6zfaeZ/YeZ1Y90E+Xuq4HVAI2NjYfczzIdFnV9/YPU6P5JJLYmmKuuZ4Txwma2BHg98FRBghtDT98AnZl+jcETiali3EdNhfbeoMCbrQJPJFJK1pxlZoeZmYXbp4WxtBTjWrkteCIiucYYL/xN4NNA0QfvapFzESlH7T39AMyqyqs9QETKRNH+Ys3sFuAsoN7MdgOfByoA3P17wEXAB8ysH+gBLvUizYKS24InIjIeM7sQ2OPuD4XPoYqqKSzw6mvVxUBEysdQC566aIpES9EKPHe/bJzPv0PQLaroDrbgqcATkXGYWQ3wWYLumfkcP6kxwgDNHWGBpxY8ESkjmmRFJJpGLfDM7BFG7ppkgLv7SUWLqsDURVMkvoqQq44ClgNDrXeLgQfN7DR3f3b4wZMdIwzQ0tUHwDwVeCKxEYf7qPbeoItmrbpoikTKWH+xRV+AfKoMddHM9msdPJEYKmiucvdHgPlD781sJ9BYzFk0W7uDp+RzNQuUSJxE/j6qrSdLZSpBVUWy1KGIyCEYtcBz911TGUgxVRxswRsocSQiUmiTzVUjjRd292sLEVu+Wnv6SKcSVFVoGReRuIjDfVR7T1YzaIpE0FhdNDsYu2vBrKJFVWBDLXgZjcETiZ3J5qo8xgsvm3h0+WnrzlJXXcFUTOgiIlMjDvdR7b1ZTbAiEkFjteDVTmUgxaRJVkTiKw656kB3H3U1uokSiZM45Kb2nn4tkSASQXn/1ZrZfKBq6L27F33x30KpDAu87IDG4InEXRRzVWt3lrpqjb8TibMo5qb23ixzZyg3iUTNuAM+zOwCM9sGPAn8DtgJ/LLIcRVUhdbBE4m9KOeqtp6sWvBEYirKuam9J6slEkQiKJ8R/f8EnAE87u7LgdcC64oaVYGlNcmKyHQQ2VzV2q0CTyTGIpub2nqyzKpWF02RqMmnwMu6ewuQMLOEu98LNBY5roIaKvC0TIJIrEU2V7X29FGnJRJE4iqSucndae/t1yyaIhGUz2OZVjObCdwH3Gxm+4Cu4oZVWBXJYGa6jBY6F4mzSOaq3uwAvdlB3USJxFckc1N33wADg64umiIRlE8L3oVAN/Bx4FfAE8BbihlUoVUmgwU6NQZPJNYimavaeoJFztVFUyS2Ipmb2nuD3KRlEkSiZ9QCz8yONrNXuXuXuw+6e7+73wA8CNRNXYiTp2USROIr6rnqQHcfgGbRFImZqOem9p5+ALXgiUTQWC14/wa0j7C/LfwsMg6OwVMXTZE4inSuau1WC55ITEU6Nz3fgqdJVkSiZqwCb4G7PzJ8Z7hvWdEiKoJkwkiYWvBEYirSuUoFnkhsRTo3tYW5SeODRaJnrAJvrO4D1eOd2MyuM7N9ZrZ5lM/NzL5tZtvN7GEze9l455yMdCpBn1rwROJoUrmq1Np6wi6amkVTJG4inZsOtuCpi6ZI5IxV4G00s78ZvtPM/hp4II9zXw+cN8bnbwRWhK9VwP/N45wTlk4m1IInEk+TzVUldbAFT0/JReIm0rmpvUeTrIhE1Vgdqz8G/NTM3snziagRSAN/Od6J3f0+M1s2xiEXAje6uwPrzKzOzBa6+968Ij9E6VRSLXgi8TSpXFVqrT1ZKpJGTTpZ6lBEpLAinZvae4NJVmqrNAZPJGpG/at19+eAV5rZ2cCJ4e7/dvffFOjai4Cnc97vDvcVp8BLmlrwRGJoCnJVUbV2Z5ldncbMSh2KiBRQ1HNTe0+WmnSSimQ+K2qJSDkZ97GMu98L3DsFsYzKzFYRdONk6dKlEzpHOqUumiJxVg65aiJau/s0wYpIjEU1N7X3ZjX+TiSiSvlYZg+wJOf94nDfi7j7andvdPfGhoaGCV1MBZ6IlKPW7qzG34nIITGzj5vZFjPbbGa3mFlVoa/R1pPVDJoiEVXKAm8N8J5wNs0zgLZijb+DoMDTOngiUm5ae7KaQVNE8mZmi4CPAI3ufiKQBC4t9HXae/q1Bp5IRBXtL9fMbgHOAurNbDfweaACwN2/B9wJvAnYDnQD7y1WLAAVSS2TICLlp627jxMOn1XqMEQkWlJAtZllgRrgmUJfoL03y2GzCt4wKCJToGgFnrtfNs7nDnywWNcfLp1MkFEXTREpM6096qIpIvlz9z1m9nXgKaAH+LW7/7rQ12nvzXLMgtpCn1ZEpsC0mRpJXTRFpNxk+gfo7hvQJCsikjczm0Ow1NRy4HBghpm9a4TjVpnZRjPb2NTUdMjXae/pZ5aWSBCJpOlT4GmhcxEpM23hQsKzNQZPRPL3OuBJd29y9yxwO/DK4QdNZoK6wUGnozerRc5FImr6FHiaRVNEykxrd1DgqYumiByCp4AzzKzGggU0XwtsLeQFOvv6GXQ0i6ZIRE2vAk9dNEWkjBws8NRFU0Ty5O7rgVuBB4FHCO7lVhfyGu1h7wKtgycSTdOnwEsmyKoFT0SGMbPrzGyfmW3O2fc1M/uzmT1sZj81s7piXLu1uw+AOeqiKSKHwN0/7+7HufuJ7v5ud88U8vztPf0AWiZBJKKmTYFXoRY8ERnZ9cB5w/bdDZzo7icBjwNXFePCrUNj8NQNSkTKSHuvWvBEomzaFHhaJkFERuLu9wH7h+37tbv3h2/XAYuLce02ddEUkTJ0sIumHj6JRNK0KfAqNcmKiEzM+4BfFuPErT19JBPGzEp1gxKR8tHeGzzfUu8CkWiaNgWe1sETkUNlZp8D+oGbxzhmwmtNtXYHi5wHE+GJiJSHNk2yIhJp06bAq0gmGHToV5EnInkwsyuA84F3uruPdtxk1ppq7c4yW90zRaTMDHXRnKmFzkUiadr85aZTQS3bNzBIKjlt6loRmQAzOw/4NPAX7t5drOu09vRpBk0RKTvtvVlqK1MkE+pdIBJF06bSSYdFXbZ/1AfxIjINmdktwFrgWDPbbWZXAt8BaoG7zWyTmX2vGNce6qIpIlJO2nv6NcGKSIRNuxa8zMAAoKQlIgF3v2yE3ddOxbVbu7Mce1jtVFxKRCRv7b1ZatU9UySypl0LnmbSFJFy0daTpa5aXTRFpLy092Q1g6ZIhE2fAi+lAk9Eykd2YJDOTL/WwBORstPWk1UXTZEIK2qBZ2bnmdljZrbdzD4zwudXmFlTOMZlk5n9dbFiGSrwsgMagycipTc0DbkKPBEpNx29/VoiQSTCitbB2sySwHeBc4HdwB/NbI27Pzrs0B+5+4eKFceQCnXRFJEy0trdB2ghYREpP+09WWZVawyeSFQVswXvNGC7u+9w9z7gv4ALi3i9MT2/TMJAqUIQETmotTtowdMyCSJSTgYGnY6MWvBEoqyYBd4i4Omc97vDfcO93cweNrNbzWzJSCcys1VmttHMNjY1NU0omKFJVjJqwRORMjBU4KmLpoiUk87efgCNwROJsFJPsvILYJm7nwTcDdww0kHuvtrdG929saGhYUIX0hg8ESknrUNj8DSLpoiUkfbeIDep+7hIdBWzwNsD5LbILQ73HeTuLe6eCd9+Hzi1WMFomQQRKScHx+CpBU9EysjQBFCztA6eSGQVs8D7I7DCzJabWRq4FFiTe4CZLcx5ewGwtVjBaJkEESknbT1ZEga1lbqJErwckmoAABGFSURBVJHy0T5U4KkFTySyinZn4e79ZvYh4C4gCVzn7lvM7IvARndfA3zEzC4A+oH9wBXFikeTrIhIOWntDhYSTiSs1KGIiBw01EVTk6yIRFdRHx27+53AncP2XZ2zfRVwVTFjGHJwDF6/xuCJSOkd6O6jTjNoikiZae8ZmmRFvQtEoqrUk6xMmYpk8JQ8M6AumiJSem09Wc2gKSJl52ALnrpoikTWtCnwKpNJQGPwRKQ8tHZnqdMNlIiUmfZwfPDMtFrwRKJq2hR4zy+ToAJPREqvtUddNEWk/LT1ZKmt0vhg+f/bu/8gq8r7juPvDwtINIqIhBKB4A+qYlWM+DOmQY0pmsSoQw3EJNYypenE+qNJWmzaWDPtRGIntomOhhqqpgaNRiuhiWgUNaMNiggCIv4KTqAKqLCrYZEFvv3jPCvH6+6y7N5f5+7nNXNn73nOued87/Xy9XzP85znWpH1uQLPPXhmVg/aJ1kxM6snLVu2+f47s4LrMwVeUz/RTy7wzKz2tm3fwVtbtvkePDOrOy2tbZ5B06zg+kyBB1kv3lYP0TSzGmvZks1S53vwzKzetGxxgWdWdH2rwGvq5x48M6u5jZu3AjBkL9+DZ2b1paV1m4ePmxVc3yrw3INnZnVg0+ZsGnKfRJlZvWnZ0uZ78MwKrm8VeO7BM7M60Nya9eB5Fk0z212SDpW0JPdokXRZufbf7HvwzAqvT12iGdjfBZ6Z1V57D57vwTOz3RURq4DxAJKagLXAPeXYd9v2HWzeut0/cm5WcH2rB69/P/8OnpnV3LsFnmfRNLPeOR14KSJeKcfO3koTQO0zqE9d/zdrOH2qwBs0oIm1m1rZsSNqHYqZ1QlJsyWtl7Q817afpAckvZD+DinnMTe1tiHB3h4GZWa9MwWYU66dtbRmF5/cg2dWbH2qwDt/wiieWdPMDx99udahmFn9uBmYVNI2A3gwIsYCD6blsmnevJV9Bg2gqZ/KuVsz60MkDQTOBu7sZP10SYskLdqwYUO39tmyxRNAmTWCPlXgXXDCaD5z1Aj+9f5VPLn6zVqHY2Z1ICIeBUoTwueAW9LzW4BzynnMjZvbGOLhmWbWO2cCiyNiXUcrI2JWREyIiAnDhg3r1g5bWtMQTRd4ZoVW0QJP0iRJqyS9KOl9V8Al7SHpjrR+oaQxFY6H75x3JKP325OLf7KYN95+p5KHM7PiGh4Rr6bnrwHDy7nzTa1tDPYMmmbWO1Mp4/BMyGbQBDyLplnBVazASzM7XU92hWkcMFXSuJLNpgEbI+IQ4FpgZqXiabf3oAFc94Vj2Li5jct/utT345lZlyIigE4TRU+GQTVv3uoZNM2sxyTtBZwB3F3O/bYP0fTv4JkVWyV78I4HXoyIlyNiK3A72bCnvPwwqLuA0yVV/KaUIz48mCs/O45Hn9/ADY+8VOnDmVnxrJM0AiD9Xd/Zhj0ZBrWptc0zaJpZj0XE7yNiaEQ0l3O/Le7BM2sIlbxEcwDwu9zyGuCEzraJiG2SmoGhwOsVjAuALxw/moUvv8k181dx48OpyMuVlp76wKx39h40gMdmnFbrMHpqLnAhcHX6e285d75pc5t78Mys7rRsaaOpn9hzYFOtQzGzXihEH7yk6cB0gNGjR5drn3znvCM5eNgHaW5tI3IjsMKjNs16bdCAYpwgSJoDTAT2l7QGuJKssPuppGnAK8D55TzmlONG8dGPlPWXF8zMem38qCFMO+VAqjCYyswqqJIF3lpgVG55ZGrraJs1kvoDg4E3SncUEbOAWQATJkwoW/m11x79ufSTY8u1OzMroIiY2smq0yt1zCvOOrxSuzYz67Ezxg3njHFlnVPKzGqgkvfgPQmMlXRg+q2WKWTDnvLah0EBTAYeShMamJmZmZmZ2W6qWA9euqfuYmA+0ATMjogVkr4NLIqIucCPgB9LepHsd6imVCoeMzMzMzOzRlfRe/Ai4hfAL0ravpV7vgX400rGYGZmZmZm1ldU9IfOzczMzMzMrHpc4JmZmZmZmTUIF3hmZmZmZmYNwgWemZmZmZlZg1DRfpVA0gayHx7uyP7A61UMpxyKGDM47morYty7E/NHImJYJYOphi7yUxH/+4HjrqYixgx9I+7C5yefO9UNx109RYwZypSbClfgdUXSooiYUOs4dkcRYwbHXW1FjLuIMVdKUT8Lx109RYwZHHcjKOJnUcSYwXFXUxFjhvLF7SGaZmZmZmZmDcIFnpmZmZmZWYNotAJvVq0D6IEixgyOu9qKGHcRY66Uon4Wjrt6ihgzOO5GUMTPoogxg+OupiLGDGWKu6HuwTMzMzMzM+vLGq0Hz8zMzMzMrM9qiAJP0iRJqyS9KGlGrePpjKTZktZLWp5r20/SA5JeSH+H1DLGjkgaJWmBpGclrZB0aWqv29glDZL0hKSlKearUvuBkham78odkgbWOtaOSGqS9LSkeWm57uOWtFrSMklLJC1KbXX7HakW56fKKWJugmLnJ+emxuHcVDnOTbXh/LRT4Qs8SU3A9cCZwDhgqqRxtY2qUzcDk0raZgAPRsRY4MG0XG+2AV+LiHHAicBX02dcz7G/A5wWEUcD44FJkk4EZgLXRsQhwEZgWg1j7MqlwMrcclHiPjUixuem+K3n70jFOT9VXBFzExQ7Pzk3NQDnpopzbqoN56d2EVHoB3ASMD+3fAVwRa3j6iLeMcDy3PIqYER6PgJYVesYu/Ee7gXOKErswJ7AYuAEsh+P7N/Rd6deHsDI9A/6NGAeoILEvRrYv6StEN+RCn4mzk/Vjb9QuSnFV5j85NzUOA/npqrH79xU+Xidn3KPwvfgAQcAv8str0ltRTE8Il5Nz18DhtcymF2RNAY4BlhInceeuuqXAOuBB4CXgE0RsS1tUq/flX8D/hbYkZaHUoy4A7hf0lOSpqe2uv6OVIHzU5UUKTdBYfOTc1PjcG6qEuemqnF+yulfruis9yIiJNXttKaSPgj8DLgsIlokvbuuHmOPiO3AeEn7AvcAh9U4pF2S9BlgfUQ8JWlirePZTadExFpJHwIekPRcfmU9fkes++r5v1/RchMULz85N1m9quf/fs5N1eH89H6N0IO3FhiVWx6Z2opinaQRAOnv+hrH0yFJA8iS1G0RcXdqLkTsEbEJWEDWPb+vpPYLG/X4XfkYcLak1cDtZEMN/p36j5uIWJv+rif7n8LxFOQ7UkHOTxVW5NwEhcpPzk2Nxbmpwpybqsr5qUQjFHhPAmPTTDkDgSnA3BrHtDvmAhem5xeSjdOuK8ouOf0IWBkR38utqtvYJQ1LV5+Q9AGyse8ryZLV5LRZXcUMEBFXRMTIiBhD9l1+KCIuoM7jlrSXpL3bnwOfApZTx9+RKnF+qqAi5iYoZn5ybmo4zk0V5NxUXc5PHaj1zYXleABnAc+TjRP+Zq3j6SLOOcCrQBvZWOBpZGOEHwReAH4F7FfrODuI+xSyMcLPAEvS46x6jh04Cng6xbwc+FZqPwh4AngRuBPYo9axdvEeJgLzihB3im9peqxo/3dYz9+RKn42zk+Vi7lwuSnFXej85NzUGA/nporG7NxUu/fg/BSB0o7MzMzMzMys4BphiKaZmZmZmZnhAs/MzMzMzKxhuMAzMzMzMzNrEC7wzMzMzMzMGoQLPDMzMzMzswbhAs/KQtJ2SUskrZC0VNLXJPVL6yZI+v4uXv8VSV/uoH2MpOVlinGipHnl2JeZFYOkBZL+pKTtMkk3dLL9akn772Kff1+y/Hj6+26+yue9lHtO7s37MLPKkzRb0vpdnXdIGiHp/tzy0HQOtETSa5LW5paP39U5UA9jPUfSuHLvdxfHvEzSnj143dmSZqTnVY+7L3KBZ+XSGhHjI+IIsh/GPBO4EiAiFkXEJV29OCJujIhbqxCnmfUtc8h++DZvSmrvqfcUeBHxvuKtJO9NBFzgmdW/m4FJ3dhuEjC/fSEi3kjnQOOBG4Fr25cj4oldnQP10DlAtQuly4DdKvAk9Y+IuRFxdWqqRdx9jgs8K7uIWA9MBy5WZqKkeZL6pavj+7ZvK+kFScMl/ZOkr6e2Y1Mv4FLgq7ltmyRdI+lJSc9I+svUPlHSw5LukvScpNskKa2blNoWA+dV83Mws7pwF/BpSQMh62UDPgwcIGmZpOWSZnb0Qkn/LempNDJhemq7GvhAujJ/W2p7u4PXtue9McBXgMvTaz4u6beSBqTt9skvm1ntRMSjwJvd2HQS8Mvu7DM/eiid69wi6deSXpF0nqTvplx0Xy4vHCvpkZR/5ksaUbLPk4GzgWtSXjlY0nhJv0nnR/dIGtJBLDdLuiFt93KKbbaklZJuzm13g6RFKfddldouIcudCyQtSG1v514zuX0f6Tg3SloIfFfSn0m6rpO4F+f2MTa/bD3nAs8qIiJeBpqAD+XadgD3AucCSDoBeCUi1pW8/D+Bv46Io0vapwHNEXEccBzwF5IOTOuOIbuyNA44CPiYpEHAfwCfBY4F/qB879DMiiAi3gSeIBtVAFnv3a+AmcBpwHjgOEnndPDyP4+IY4EJwCWShkbEDHaOWLigG8dfzXuv6P8aeBj4dC6euyOirafv0cyqR1ITcGhEPNvDXRxMlnvOBv4LWBARRwKtZBejBgA/ACan/DMb+Jf8DiLicWAu8I2UV14CbgX+LiKOApaRRlF1YAhwEnB52se1wBHAkZLGp22+GRETgKOAT0g6KiK+D/wfcGpEnNqN9zkSODki/mYXcTfnjnsR2Tmg9ZILPKu2O4DPp+dT0vK7Uu/evukqGsCPc6s/BXxZ0hJgITAUGJvWPRERa1IRuQQYAxwG/DYiXoiIIEukZtb35IdpTgFeAR6OiA0RsQ24DfjjDl53SRpJ8BtgFDvzTW/dRHYiAz6hMSuaE8jOQXrql+mCzjKyC+H3pfZlZOcuhwJ/BDyQznf+gaxY6pSkwWTnTo+kplvoOKcB/DydEy0D1kXEsnTutCIdH+D81JP2NFnx15MhlXdGxPZubHcTcFEqnD8P/KQHx7IS/WsdgDUmSQcB24H1wOG5Vf8LHCJpGNk47H/end2S9ezNf0+jNBF4J9e0HX+3zWyne4FrJX2U7P6RJWRX0TuV8songZMiYrOkh4FB5QgmIh5TNiHLRKApIsoykZSZVcWZ7CzKeuIdyEY1SWpLxRbADrJzFwErIuKk3oXZ9fHT8fLnTjuA/mlk1NeB4yJiYxp22Vnui9zz0m1+3814fkbW2/gQ8FREvNHN11kX3INnZZeKtxuB63KJC4C0fA/wPWBl6T/kiNgEbJJ0SmrKD4GaD/xVboz6H0raq4tQngPGSGo/kZva0/dkZsUVEW8DC8iGOs0hG7L5CUn7p6vGU4FHSl42GNiYirvDgBNz69p28565t4C9S9puJbtS7d47s2I5nWyYd6WsAoZJOglA0gBJR3Sw3bt5JSKagY2SPp7WfYn357Tu2oesOGuWNJydw9vfc8xknaTDlc2afm439/+efUTEFrLzuxtwPiwbF3hWLu2TDqwgS3z3A1d1su0dwBcpGZ6ZcxFwfRqaoFz7TcCzwGJlUxj/kC566lLSmA78TxpqsH433o+ZNZY5wNHAnIh4FZhBVvQtJbtqfG/J9veRXc1eCVxNNkyz3SzgmfZJVrrh58C57ZOspLbbyO6F6c1snmZWRpLmkI00OlTSGknTStYPA7ZExFuViiEitgKTgZlpiPgSOp6F93bgG5KeTheyLySbvOQZsnuLv93D4y8lG5r5HNlFqMdyq2cB97VPskKWR+cBjwOvdvMQpXFDlg93kJ07WhmopIPFzMzMKkzSZOBzEfGlWsdiZt0j6YvAyNyU/1YGymZRHxwR/1jrWBqFCzwzM7MqkvQDsmFPZ0XE87WOx8ysViTdQ5pZNCJer3U8jcIFnpmZmZmZWYPwPXhmZmZmZmYNwgWemZmZmZlZg3CBZ2ZmZmZm1iBc4JmZmZmZmTUIF3hmZmZmZmYNwgWemZmZmZlZg/h/C09W3ItGKl0AAAAASUVORK5CYII=\n","text/plain":["<Figure size 1080x576 with 6 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"jNTT2AilhCDR","colab_type":"text"},"source":["As shown by the graphs, our call option's value is indeed convex and monotonically decreasing with respect to strike price and monotonically increasing with respect to volatility."]},{"cell_type":"markdown","metadata":{"colab_type":"text","id":"wvBhcTN3blZE"},"source":["(iii) If $d = 0$, the call option price should be increasing with $T$."]},{"cell_type":"code","metadata":{"colab_type":"code","executionInfo":{"status":"ok","timestamp":1591165098512,"user_tz":-480,"elapsed":1376,"user":{"displayName":"Hong Wai Ng","photoUrl":"","userId":"05894942200778855220"}},"id":"McOJ6EEyblZF","outputId":"dba857a4-e318-4148-95ee-93dc3544cf65","colab":{"base_uri":"https://localhost:8080/","height":279}},"source":["T_upper = 5\n","graph_num = 12\n","x = np.linspace(1, T_upper, T_upper)\n","\n","d = 0\n","\n","for j in range(graph_num):\n"," S = randint(1,100)\n"," K = randint(1,100)\n"," r = random()\n"," T = random()\n"," sigma = random()\n"," y = [Option(S, K, r, d, sigma, T).european_call() for T in range(1, T_upper+1)]\n"," plt.plot(x,y)\n"," plt.xlabel('Time to Maturity')\n"," plt.ylabel('Call option value')"],"execution_count":35,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"colab_type":"text","id":"HF-fCW98blZO"},"source":["(iv) A call option price should be between $S$ and $S - K e^{-rT}$ for all inputs. (Note that it holds for non-dividend paying stock only)"]},{"cell_type":"code","metadata":{"id":"BebiLxszhCEW","colab_type":"code","outputId":"e80de35e-4b40-4d41-a837-3b61c0f0d4f1","executionInfo":{"status":"ok","timestamp":1591165104409,"user_tz":-480,"elapsed":4144,"user":{"displayName":"Hong Wai Ng","photoUrl":"","userId":"05894942200778855220"}},"colab":{"base_uri":"https://localhost:8080/","height":389}},"source":["# Verify that S <= C <= S - Ke^{-rT} by plotting S, C and S - Ke^{-rT} on the same graph\n","\n","# Note that the output is a grids with dimensions n_rows x n_cols where each element \n","# is a graph containing all S, C and S - Ke^{-rT} on the same graph\n","\n","n_rows = 3 # number of rows\n","n_cols = 4 # number of columns\n","K_upper = 100 # largest number of x-axis\n","graph_num = n_rows * n_cols # total number of graphs\n","x = np.linspace(1, K_upper, K_upper) # \n","f, ax = plt.subplots(n_rows, n_cols, figsize = (15,9))\n","\n","for j in range(graph_num):\n"," \n"," # required paramters for the Option class\n"," S = randint(1,100)\n"," r = random()\n"," sigma = random()\n"," T = random()\n"," d = 0\n"," \n"," # Calculate the corresponding call option values for different strike price by fixing S, r, sigma, T and d.\n"," y = [Option(S, K, r, d, sigma, T).european_call() for K in range(1, K_upper+1)]\n"," z = [S - K*np.exp(-r*T) for K in range(1, K_upper+1)]\n"," w = [S] * K_upper\n"," zero = [0] * K_upper\n"," \n"," # plot\n"," ax[j%n_rows, j%n_cols].plot(x,y, label = 'Call')\n"," ax[j%n_rows, j%n_cols].plot(x, w, label = 'S')\n"," ax[j%n_rows, j%n_cols].plot(x,z, label = 'S - Ke^{-rT}')\n"," ax[j%n_rows, j%n_cols].plot(x,zero, label='x-axis')\n"," ax[j%n_rows, j%n_cols].legend()"],"execution_count":36,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 1080x648 with 12 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"colab_type":"text","id":"_v_RQzUsblZT"},"source":["(v) The price of a bull call-spread should approximate the price of a digital-call option."]},{"cell_type":"markdown","metadata":{"colab_type":"text","id":"0OJOOeyhblZU"},"source":["The **bull call spread**: long a call option $c_1$ with strike $K_1$ and short a call option $c_2$ with higher strike $K_2$ (i.e. $K_2>K_1$).\n","\n","So, it has payoff \n","$$(S-K_1)^+ - (S-K_2)^+ = \\begin{cases} \n"," 0 & S\\leq K_1, \\\\\n"," S-K_1 & K_1 < S\\leq K_2, \\\\\n"," K_2-K_1 & S\\geq K_2. \n"," \\end{cases}$$\n","Also, recall that digital-call option has payoff \n","$$\n","\\begin{cases} \n"," 0 & S\\leq K_1, \\\\\n"," c & S > K_1.\n"," \\end{cases}\n"," $$\n","where $c>0$ is the cash payout.\n","\n","Practically speaking, digital-call option is discontinuous at $K$ whereas bull call spread is continuous everywhere. \n","So, the former cannot be replicated using the latter, unless limit is involved here. \n","\n","When estimating, let $K_1= K$ and $K_2 = K_1 + c.$\n","Then the bull call spread will have payoff\n","$$\\begin{cases} \n"," 0 & S\\leq K, \\\\\n"," S-K & K < S\\leq K+c, \\\\\n"," c & S\\geq K+c, \n"," \\end{cases}$$\n","which is similar to digital call option payoff.\n","\n","Source: https://quant.stackexchange.com/questions/1464/how-to-replicate-a-digital-call-option"]},{"cell_type":"markdown","metadata":{"id":"SXYKsZFlhCE6","colab_type":"text"},"source":["\n","\n","Source: https://upload.wikimedia.org/wikipedia/commons/thumb/0/06/Bull_spread_using_calls.png/450px-Bull_spread_using_calls.png"]},{"cell_type":"code","metadata":{"colab_type":"code","executionInfo":{"status":"ok","timestamp":1591165105964,"user_tz":-480,"elapsed":1303,"user":{"displayName":"Hong Wai Ng","photoUrl":"","userId":"05894942200778855220"}},"id":"hMgd_LT8blZW","outputId":"5047713a-4e96-4b03-cb4c-71410dd9478e","colab":{"base_uri":"https://localhost:8080/","height":279}},"source":["# To approximate a digital-call option using bull call-spread, \n","\n","loop = 10\n","\n","# records the difference between bull-call spread and digital-call spread\n","diff = [0] * (loop)\n","\n","e = 10\n","\n","S = 120\n","K = 100\n","r = 0.05\n","d = 0\n","sigma = 0.2\n","T = 1\n","cash = 0.1**e\n","\n","\n","for i in range(loop):\n"," cash = 0.1**i\n"," \n"," # c_low = price of an European call with strike price K\n"," # c_high = price of an European call wiht slightly higher strike price K + cash\n"," c_low = Option(S, K, r, d, sigma, T).european_call()\n"," c_high = Option(S, K + cash, r, d, sigma, T).european_call()\n","\n"," # price of a bull_call_spread\n"," bull_call_spread = c_low - c_high\n","\n"," # price of a binary call \n"," b_c = Option(S, K, r, d, sigma, T).binary_call(cash)\n","\n"," diff[i] = b_c - bull_call_spread\n","\n"," \n","plt.plot(diff)\n","plt.xlabel('power of 0.1')\n","plt.ylabel('binary call - bull call spread');"],"execution_count":37,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"colab_type":"text","id":"Grpm3RLAblZt"},"source":["(vi) The price of a digital-call option plus a digital-put option is equal to the price of a zero-coupon bond."]},{"cell_type":"code","metadata":{"colab_type":"code","executionInfo":{"status":"ok","timestamp":1591165109362,"user_tz":-480,"elapsed":1608,"user":{"displayName":"Hong Wai Ng","photoUrl":"","userId":"05894942200778855220"}},"id":"0f8KRKp0blZw","outputId":"64b14107-bf3f-42a5-9cf7-1f919d2c292b","colab":{"base_uri":"https://localhost:8080/","height":293}},"source":["# put-call parity for digital options\n","\n","dec = 5\n","counter = 0 \n","loop = 500\n","\n","seed(1)\n","\n","error = [0] * loop\n","\n","for i in range(loop):\n"," S = randint(1,100)\n"," K = randint(1,100)\n"," r = random()\n"," d = random()\n"," sigma = random()\n"," T = random()\n"," face_value = randint(1,100)\n"," b_c = round(Option(S, K, r, d, sigma, T).binary_call(face_value),dec)\n"," b_p = round(Option(S, K, r, d, sigma, T).binary_put(face_value), dec)\n"," z = round(Option(S, K, r, d, sigma, T).zero_coupon_bond(face_value), dec)\n","# print(' {:>12}, {:>12}, {}'.format(z, b_c + b_p, b_c + b_p == z))\n"," if b_c + b_p == z:\n"," counter += 1\n"," else:\n"," error[i] = b_c + b_p - z\n","\n","print('Accuracy:', counter / loop)\n","plt.plot(error);\n","# [x for x in error if x != 0]"],"execution_count":38,"outputs":[{"output_type":"stream","text":["Accuracy: 0.678\n"],"name":"stdout"},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"colab_type":"text","id":"3EVmZEbLblZ5"},"source":["## Validation via Monte Carlo"]},{"cell_type":"markdown","metadata":{"colab_type":"text","id":"D4SfjYGqblZ8"},"source":["(i) We implemented an engine which randomly evolves a stock price from time $0$ to time $T$ according to a geometric Brownian motion with drift $r - d$, and volatility $\\sigma$. \n","Use the formula\n","$$S_T = S_0 e^{(r-d- \\frac{1}{2}\\sigma^2)T + \\sigma \\sqrt{T} Z}$$\n","where $Z$ is a standard normal random variable."]},{"cell_type":"markdown","metadata":{"colab_type":"text","id":"-3O1pt4YblaN"},"source":["(ii) We use the engine to write Monte Carlo pricers for all the products mentioned above. \n","The engine generates a final stock value. \n","The option's pay-off for that final value is then evaluated and discounted. \n","These values are then averaged over a large number of paths. \n","Get it to return the price for successive powers of two for the number of paths so you can see the convergence. \n","Also get it to return the variance of the samples and standard error.\n","\n","We implemented the pricer and the engine in an orthogonal way so that the engine just takes in an option object which states its pay-off and expiry. \n","The engine should then need no modifications when a new option type, such as a straddle, is added in. \n","Also the option objects can then be reused when doing Monte Carlo simulations based on different engines."]},{"cell_type":"code","metadata":{"id":"QmqwDtFjhCFw","colab_type":"code","outputId":"a372c2c8-ee9e-417e-f1d9-44a192449725","executionInfo":{"status":"ok","timestamp":1591165925364,"user_tz":-480,"elapsed":8495,"user":{"displayName":"Hong Wai Ng","photoUrl":"","userId":"05894942200778855220"}},"colab":{"base_uri":"https://localhost:8080/","height":356}},"source":["S0 = 120\n","T = 1\n","K = 100\n","r = 0.05\n","d = 0\n","sigma = 0.25\n","face_value = 1\n","\n","option_types = ('European call', 'European put', 'Binary call', 'Binary put')\n","\n","# Black-Scholes prices\n","opt = Option(S0, K, r, d, sigma, T)\n","BS = [opt.european_call(), opt.european_put(), opt.binary_call(face_value), opt.binary_put(face_value)]\n"," \n","\n","num_paths = 17\n","num_steps = 100\n","\n","mc_values = {}\n","\n","for option_type in option_types:\n"," mc_values[option_type] = black_scholes_monte_carlo_pricer(option_type, S0, K, r, d, sigma, T, num_steps, num_paths, full_list = True, seed = None)\n"," \n","f, ax = plt.subplots(2,2, figsize = (15,8))\n","\n","for i, option in enumerate(option_types):\n"," ax[i//2, i%2].plot(mc_values[option], label = option + ' (Monte Carlo)')\n"," ax[i//2, i%2].axhline(mc_values[option][-1], label = 'final mc value: ' + str(mc_values[option][-1]), c = 'g')\n"," ax[i//2, i%2].axhline(BS[i], label = 'True value:' + str(BS[i]), c = 'r')\n"," ax[i//2, i%2].set_xlabel('Number of paths (power of 2)')\n"," ax[i//2, i%2].set_ylabel('Monte Carlo values')\n"," ax[i//2, i%2].legend()"],"execution_count":5,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAA34AAAHiCAYAAAC3Eh4FAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAgAElEQVR4nOzdeVzVVf748de5l002VxAVFZcUZVVxLfcMSzMzp5xsysxvWc1o1kxZ0/yalpmcxmnabdosG1NLWxxNU1NLTRNQRFlcAgQXEFBEdi73/P64cANZRLxwWd7Px4OH936Wc9/3Inx4f84576O01gghhBBCCCGEaLkM9g5ACCGEEEIIIUTDksRPCCGEEEIIIVo4SfyEEEIIIYQQooWTxE8IIYQQQgghWjhJ/IQQQgghhBCihZPETwghhBBCCCFaOLsnfkopF6XUfqXUIaVUrFLq+bLtE5VSB5RS0Uqp3UqpvvaOVQghhBBCCCGaI2XvdfyUUgpw01rnKqUcgd3AQmAFcJvWOl4p9QgwTGs9x46hCiGEEEIIIUSz5GDvALQl88wte+pY9qXLvjzLtrcFztTWTqdOnbSfn18DRSmEEKIpiYqKytRae9k7juZCrpFCCNE61HZ9tHviB6CUMgJRQF/gba31z0qpecC3SqkCIAcYUc15DwIPAvTo0YPIyMhGjFoIIYS9KKVO2juG5sTPz0+ukUII0QrUdn20+xw/AK11qdY6FPAFhimlAoFFwC1aa19gOfBqNee9p7UO01qHeXnJjV8hhBBCCCGEqE6TSPzKaa2zgR3AzUCI1vrnsl1rgFF2C0wIIYQQQgghmjG7J35KKS+lVLuyx22ASUA80FYp1a/ssPJtQgghhBBCCCGuUlOY49cF+KRsnp8B+FxrvUEp9X/AOqWUGbgAzLVnkKJ1Kykp4dSpUxQWFto7FCFaFRcXF3x9fXF0dLR3KEIIIUSzZvfET2sdAwyqZvtXwFeNH5EQVZ06dQoPDw/8/PywrEAihGhoWmuysrI4deoUvXr1snc4QgghRLNm96GeQjQHhYWFdOzYUZI+IRqRUoqOHTtKT7sQQghhA5L4NVNvfH+cD3Yl2juMVkWSPiEan/zcCXH14s/mMGf5fnKLTPYORQjRhEji1wxprVm+J4nP9qfYOxQhhBANQCllVEodVEptqGafs1JqjVLqhFLqZ6WUX+NHKJqy7Qnn2Hk0g+/j0+0dihCiCZHErxk6mZXPhfwSkjPzKCwptXc4opEYjUZCQ0OtX0uWLLF3SI3Cz8+PzMxMANzd3as9pqCggLFjx1JaWkpycjJKKZ599lnr/szMTBwdHfn9739frxiSk5P57LPPrvq8tLQ0Zs2aRZ8+fRgyZAi33HILx44du6o2Kr7/6hQXFzNmzBhMJrmz38IspOZq1g8AF7TWfYF/A/9otKhEs5CYkQfAllhJ/IQQv5LErxk6mHoBALOG4+m5do5GNJY2bdoQHR1t/Vq8eHGdz23pScFHH33EjBkzMBqNAPTq1YuNGzda93/xxRcEBATUu/36JH5aa26//XbGjRvHL7/8QlRUFC+//DLp6XX7Q0xrjdlsvuJxTk5OTJw4kTVr1lxVfKLpUkr5AlOAD2o45Dbgk7LHa4GJSsbEigoSMy1/G+w8ek5uEAshrOxe1VNcvYMp2SgFWkN8Wg5Bvm3tHVKr8vz/Yok7k2PTNgd29eS5W+uXmPj5+REZGUmnTp2IjIzkj3/8Izt37uSvf/0rv/zyC4mJifTo0YOXX36ZuXPnkpmZiZeXF8uXL6dHjx7MmTMHFxcXIiMjycnJ4dVXX2Xq1KmUlpayePFidu7cSVFREY8++igPPfQQubm53HbbbVy4cIGSkhJeeuklbrvtNpKTk7n55pu54YYb+Omnn+jWrRvffPMNbdq0qRRveno68+fPJzHRMkd12bJljBo1iunTp5OamkphYSELFy7kwQcfrPNnsHLlykqJmaurKwMGDCAyMpKwsDDWrFnDnXfeyZkzZwBLIlfTZ+Hp6UlkZCRpaWm88sorzJw5k8WLFxMfH09oaCj33XcfCxYsqPazqWjHjh04Ojoyf/5867aQkBCAWj/D8PBwhg8fTlRUFN9++22lNl999VU++ugjAObNm8djjz0GwPTp03n66aeZPXt2nT8z0aS9BjwJeNSwvxuQCqC1NimlLgIdgUpdw0qpB4EHAXr06NFgwYqmRWtNYkYefh1dSc7KZ8+JTCYO6GzvsIQQTYD0+DVDB1OyGebXARdHAwlnL9k7HNFICgoKKg31rEsPT1xcHNu2bWPVqlX84Q9/4L777iMmJobZs2ezYMEC63HJycns37+fjRs3Mn/+fAoLC/nwww9p27YtERERRERE8P7775OUlISLiwtfffUVBw4cYMeOHTzxxBNorQE4fvw4jz76KLGxsbRr145169ZViWnBggWMHTuWQ4cOceDAAWtP3EcffURUVBSRkZG88cYbZGVl1elzKS4uJjExET8/v0rbZ82axerVq0lNTcVoNNK1a1frvto+i7Nnz7J79242bNhg7VVdsmQJo0ePJjo6mkWLFtX42VR05MgRhgwZUm3MV/oMH3nkEWJjY+nZs6f1nKioKJYvX87PP//Mvn37eP/99zl48CAAgYGBRERE1OnzEk2bUmoqcE5rHXWtbWmt39Nah2mtw7y8vGwQnWgOLuSXcLGghFnDeuDh4sDmI2n2DkkI0URIj18zU1hSSvzZHB4c05vCklKOptu250lcWX175q5V+VDPqzFt2jRrj9vevXv58ssvAfjd737Hk08+aT3uzjvvxGAwcN1119G7d28SEhLYsmULMTExrF27FoCLFy9y/PhxfH19eeaZZ/jxxx8xGAycPn3aOnyxV69ehIaGAjBkyBCSk5OrxLR9+3ZWrFgBWOYttm1r6bF+4403+Oory9KdqampHD9+nI4dO17xPWZmZtKuXbsq2ydPnsxf/vIXOnfuzF133VVpX22fxfTp0zEYDAwcOLDGYZk1fTZ1XWtOa13jZ9izZ09GjBhR5Zzdu3dz++234+bmBsCMGTPYtWsXgwYNwmg04uTkxKVLl/DwqKmTSDQT1wPTlFK3AC6Ap1Lqv1rreyoccxroDpxSSjkAbYG63SkRLV5ihmWYZ38fDyb6e7MtPh1TqRkHo9zrF6K1k8SvmTly+iIms2ZQj/Zk5RazNT4drbWUPG/FHBwcrHPBLl/vrDxJuJLL//8opdBa8+abbxIeHl5p38cff0xGRgZRUVE4Ojri5+dnfV1nZ2frcUajkYKCgjq9/s6dO9m2bRt79+7F1dWVcePG1XnttjZt2lR7rJOTE0OGDOFf//oXcXFxrF+/vk7tVXwP5b1wl6vps6koICDAmhhebuXKlTV+hnX9nl2uqKgIFxeXep0rmg6t9dPA0wBKqXHAHy9L+gDWA/cBe4GZwHZd039W0eokZloKu/Tu5EZ4gA9fR58hIvkCI/tc+UaaEKJlk9s/zczBlGwAQru3o7+PB+fzisnILbJzVMKe/Pz8iIqyjAqrbmhluVGjRrF69WrAkniMHj3auu+LL77AbDZb5wT279+f8PBwli1bRklJCQDHjh0jLy+Pixcv4u3tjaOjIzt27ODkyZNXFe/EiRNZtmwZAKWlpVy8eJGLFy/Svn17XF1dSUhIYN++fXVur3379pSWllab/D3xxBP84x//oEOHDnX+LKrj4eHBpUu/Dquu6bOpaMKECRQVFfHee+9Zt8XExLBr1656fYajR4/m66+/Jj8/n7y8PL766itr3FlZWXTq1AlHR8crtiOaJ6XUC0qpaWVPPwQ6KqVOAI8Dda/0JFq8xIw8HI0K3/aujO3vhbODge9iZbinEEISv2bnYOoFundog5eHM/5dLEO6jqbJPL/W4PI5fuXzz5577jkWLlxIWFiYtapldd58802WL19OcHAwn376Ka+//rp1X48ePRg2bBg333wz7777Li4uLsybN4+BAwcyePBgAgMDeeihhzCZTMyePZvIyEiCgoJYsWIF/v7+V/U+Xn/9dXbs2EFQUBBDhgwhLi6OyZMnYzKZGDBgAIsXL652qGNtbrrpJnbv3l1le0BAAPfdd99VfRbVCQ4Oxmg0EhISwr///e8aP5uKlFJ89dVXbNu2jT59+hAQEMDTTz+Nj49PvT7DwYMHM2fOHIYNG8bw4cOZN28egwYNAiyFZKZMmXLFNkTzorXeqbWeWvb4/2mt15c9LtRa/0Zr3VdrPUxrnWjfSEVTkpSZS8+ObhgNClcnB0Zf58WW2LQaRzAIIVoP1VJ+EYSFhenIyEh7h9HgRr78PWF+HXjzt4M4n1fM4Be38udbBvB/Y3rbO7QWLT4+ngEDBtg7jAYxZ84cpk6dysyZM+0dSr0dOHCAf//733z66af2DsUuZsyYwZIlS+jXr5+9Q2kQ1f38KaWitNZhdgqp2Wkt10gBk179gV6d3HjvXsuPx9qoU/zxi0Os//31BPtWnQ8thGhZars+So9fM5J2sZCzFwsZ1N3yi7uDmxPeHs7Ep0mBF9G6DR48mPHjx1Na2vrWqyouLmb69OktNukTQtRdqVlzMiufXl6/zhW+cYA3RoOS6p5CCCnu0pxEly3cPqjHr3fs/Lt4ypIO4pp8/PHH9g7BJubOnWvvEOzCycmJe++9195hCCGagNMXCiguNdOnk7t1WztXJ4b36sB3sWk8OfnqhuYLIVoW6fFrRg6mZONkNDCwq6d12wAfD06cy8VUarZjZEIIIYSwt8RMy1IOFXv8ACYH+vBLRh4nzsmNYiFaM7snfkopF6XUfqXUIaVUrFLq+bLtSin1N6XUMaVUvFJqwZXaaukOpmQzsKsnzg6/FvDo7+NBcamZpMy8Ws4UQgghREuXmPHrUg4V3TTQB4DvYqtfm1QI0TrYPfEDioAJWusQIBSYrJQaAczBskCtv9Z6ALDafiHan6nUTMzp7ErDPAH8fSy9f/FS2VMIIYRo1ZIy8/B0caCDm1Ol7T5tXQjp3k6WdRCilbN74qctcsueOpZ9aeBh4AWttbnsuHN2CrFJSEi7RGGJmUE92lfa3sfbDQeD4qgUeBFCCCFatcTMXHp7uaOUqrJvcoAPMacucjq7wA6RCSGaArsnfgBKKaNSKho4B2zVWv8M9AHuUkpFKqU2KaWuq+a8B8v2R2ZkZDR22I3qYKpl4fbyip7lnB2M9PFylwIvrcAbb7zBgAEDmD17NuvXr2fJkiX1bsvd3f3KBzWicePGYetS86mpqYwfP56BAwcSEBBQaa2+u+66y7oeop+fH6GhoVXOLywsZNiwYYSEhBAQEMBzzz1n3Td69Gjr+V27dmX69OkAJCQkMHLkSJydnVm6dGml9l5//XUCAwMJCAjgtddeq7TvzTffxN/fn4CAAJ588knr9piYGEaOHElAQABBQUHWRepXrVpFUFAQwcHBTJ48mczMTAAOHTrEyJEjCQoK4tZbbyUnx3JDKCsri/Hjx+Pu7s7vf//7Sq89efJk63ucP39+pcqo1cW1detWhgwZYl2Hcfv27dbj//znP9O9e/cq/78WLVpk/bz69etHu3aVf4/l5OTg6+tbJTYhxNVJysirMsyzXHhAZwC2SK+fEK2X1rrJfAHtgB1AIJALPFG2fQawq7ZzhwwZoluyRWsO6iEvbtVms7nKvj98dkCPevl7O0TVesTFxdk7BN2/f3+dmppqk7bc3Nxs0o6tjB07VkdERNi0zTNnzuioqCittdY5OTn6uuuu07GxsVWOe/zxx/Xzzz9fZbvZbNaXLl3SWmtdXFyshw0bpvfu3VvluBkzZuhPPvlEa611enq63r9/v37mmWf0P//5T+sxhw8f1gEBATovL0+XlJToiRMn6uPHj2uttd6+fbueOHGiLiwstLahtdYlJSU6KChIR0dHa621zszM1CaTSZeUlGgvLy+dkZGhtdb6T3/6k37uuee01lqHhYXpnTt3aq21/vDDD/Wzzz6rtdY6NzdX79q1Sy9btkw/+uijleK/ePGi9f3OmDFDr1q1qta4Dhw4oE+fPm19X127drW2tXfvXn3mzJla/3+98cYb+v7776+0bcGCBfq3v/1tldjKVffzB0TqJnDdai5fLf0aKbTOKyrRPZ/aoN/8/liNx9z4r536rv/81IhRCSEaW23Xxya1nIPWOlsptQOYDJwCvizb9RWw3G6BNQHRqdmEdm9X7fAN/y4erD90hpzCEjxdHO0QXevy2ObHiE6LtmmboT6hvDb5tRr3z58/n8TERG6++Wbmzp1L+/btiYyM5K233mLOnDl4enoSGRlJWloar7zyCjNnziQ3N5fbbruNCxcuUFJSwksvvcRtt91W42skJyczefJkRowYwU8//cTQoUO5//77ee655zh37hwrV65k2LBh5Obm8oc//IHIyEiUUjz33HPccccd1nY2b97Mhx9+yBdffAHAzp07Wbp0KRs2bODhhx8mIiKCgoICZs6cyfPPP18lDnd3d3JzLaO/165dy4YNG/j444/JyMhg/vz5pKSkAPDaa69x/fXX1/h+unTpQpcuXQDw8PBgwIABnD59moEDB1qP0Vrz+eefV+q1KqeUsvZclZSUUFJSUuXnLycnh+3bt7N8ueXXk7e3N97e3mzcuLHScfHx8QwfPhxXV1cAxo4dy5dffsmTTz7JsmXLWLx4Mc7OztY2ALZs2UJwcDAhISEAdOzY0RqL1pq8vDw6duxITk4Offv2BeDYsWOMGTMGgEmTJhEeHs6LL76Im5sbN9xwAydOnKjyPj09LfOETSYTxcXF1vdYU1yDBg2ynhsQEEBBQQFFRUU4OzszYsSI6r8ZFaxatarS9z0qKor09HQmT55s815fIVqT5Mx8AHp1qnlEx+RAH97ecYLzecVV5gEKIVo+uw/1VEp5KaXalT1uA0wCEoCvgfFlh40FjtknQvvLzi8mMSOvSmGXcgPKCrwclQIvLda7775L165d2bFjB4sWLaqy/+zZs+zevZsNGzawePFiAFxcXPjqq684cOAAO3bs4IknnijvWa/RiRMneOKJJ0hISCAhIYHPPvuM3bt3s3TpUv7+978D8OKLL9K2bVsOHz5MTEwMEyZMqNTGjTfeyM8//0xenqW63Jo1a5g1axYAf/vb34iMjCQmJoYffviBmJiYOn8GCxcuZNGiRURERLBu3TrmzZsHQGRkpPVxTZKTkzl48CDDhw+vtH3Xrl107tyZ666rMpIcgNLSUkJDQ/H29mbSpElVzv/666+ZOHGiNXmqSWBgILt27SIrK4v8/Hy+/fZbUlNTAUuytmvXLoYPH87YsWOJiIiwbldKER4ezuDBg3nllVcAcHR0ZNmyZQQFBdG1a1fi4uJ44IEHAEsi9s033wDwxRdfWF/jSsLDw/H29sbDw4OZM2fWGldF69atY/Dgwdbk8EpOnjxJUlKS9f+M2WzmiSeeqDIsVghx9cqXcujtVf1QT4DwAB/MGrbFSXVPIVqjptDj1wX4RCllxJKIfq613qCU2g2sVEotwjLss/a/7Fqw6PL5fTUkfv19PABIOJvDUL8OjRZXa1Vbz5y9TJ8+HYPBwMCBA0lPt1zQtdY888wz/PjjjxgMBk6fPk16ejo+Pj41ttOrVy+CgoIASxIxceJElFIEBQWRnJwMwLZt21i9+tciu+3bVy445ODgwOTJk/nf//7HzJkz2bhxozVp+fzzz3nvvfcwmUycPXuWuLg4goOD6/Qet23bRlxcnPV5Tk4Oubm5hIWF8cEHH9R4Xm5uLnfccQevvfZalQRt1apV/Pa3v63xXKPRSHR0NNnZ2dx+++0cOXKEwMDASudfKekEGDBgAE899RQ33XQTbm5uhIaGYjRalmUxmUycP3+effv2ERERwZ133kliYiImk4ndu3cTERGBq6srEydOZMiQIYwZM4Zly5Zx8OBBevfuzR/+8Adefvllnn32WT766CMWLFjAiy++yLRp03Byqtsd/e+++47CwkJmz57N9u3bmTRpUo1xlfcIxsbG8tRTT7Fly5Y6vQbA6tWrmTlzpvW9v/POO9xyyy34+vrWuQ0hRPWSypZy8OtYc+IX0NWTbu3a8F1sGncO7d5YoQkhmgi7J35a6xhgUDXbs4EpjR9R03MwJRuDgmDf6hO/Lm1d8HRxkCUdWrGKPS7lvXorV64kIyODqKgoHB0d8fPzsxYHqUs7BoPB+txgMGAymeocz6xZs3jrrbfo0KEDYWFheHh4kJSUxNKlS4mIiKB9+/bMmTOn2ngqDqesuN9sNrNv3z5cXFzqHEdJSQl33HEHs2fPZsaMGZX2mUwmvvzyS6Kioq7YTrt27Rg/fjybN2+2Jn6ZmZns37+fr776qk6xPPDAA9aeuWeeecaa7Pj6+jJjxgyUUgwbNgyDwUBmZia+vr6MGTOGTp06AXDLLbdw4MABa/Lap08fAO68805roR9/f39rInbs2LEqQ05r4+Liwm233cY333zDpEmTaozLy8uLU6dOcfvtt7NixQprHHWxevVq3n77bevzvXv3smvXLt555x1yc3MpLi7G3d39mgoXCdFaJWbm0a1dG9o4GWs8RinFTQGdWflzCrlFJtyd7f5noBCiEdl9qKe4sujUbPp19qjxF7RSCv8unjLUU1Ry8eJFvL29cXR0ZMeOHZw8edIm7U6aNKnSH+8XLlyocszYsWM5cOAA77//vnWYZ05ODm5ubrRt25b09HQ2bdpUbfudO3cmPj4es9lcKam66aabePPNN63Po6Nrn2epteaBBx5gwIABPP7441X2b9u2DX9//xp7mzIyMsjOtvS2FxQUsHXrVvz9/a37165dy9SpU+uciJ47Z1mRJiUlhS+//JK7774bsPTW7tixA7Aka8XFxXTq1Inw8HAOHz5Mfn4+JpOJH374gYEDB9KtWzfi4uIor2S8detWBgwYUOk1zGYzL730EvPnz681ptzcXM6ePQtYEuGNGzda32NNcWVnZzNlyhSWLFlS6xzLyyUkJHDhwgVGjhxp3bZy5UpSUlJITk5m6dKl3Hvvva0+6VNKuSil9iulDimlYpVSVSbCKqXmKKUylFLRZV+tdkSM+FViZh69aqjoWdHkAB+KTWZ+ONqyq6ELIaqSxK+JM5s10alVF26/3AAfD46mXcJsrn0Ol2g9Zs+eTWRkJEFBQaxYsaJS0nItnn32WS5cuEBgYCAhISHW5KAio9HI1KlT2bRpE1OnTgUgJCSEQYMG4e/vz913311j0rBkyRKmTp3KqFGjrMVZwLKcRWRkJMHBwQwcOJB3330XqHmO3549e/j000/Zvn27dSmBb7/91rp/9erVVYZ5njlzhltuuQWwzJscP348wcHBDB06lEmTJlnfS03np6Wl4evry6uvvspLL72Er6+vdUmFO+64g4EDB3Lrrbfy9ttvW5c0mDt3LomJiQQGBjJr1iw++eQTlFK0b9+exx9/nKFDhxIaGsrgwYOZMmUKXbt25bnnnmPMmDEEBwcTHR3NM888A1iGnvbr1w9/f3+6du3K/fffb43Nz8+Pxx9/nI8//hhfX1/i4uLIy8tj2rRpBAcHW+cylieLNcX11ltvceLECV544QXr51qecD755JP4+vqSn5+Pr68vf/3rXyt9XrNmzaq2QJWopAiYoLUOAUKByUqp6qrmrNFah5Z91TzWWbQKWmsSM3Jrnd9XLsyvAx3dnNgsyzoI0eqoKxV7aC7CwsJ0S6wI90tGLhP/9QOv3BFc63j8z35O4ZmvDrPryfF07+DaiBG2DvHx8dZeFSFE46ru508pFaW1DrNTSI1CKeUK7AYe1pb1bcu3zwHCtNZ1XviwpV4jhUVmbhFhL23juVsHcv/1va54/FNrY9h4+CxRf7kRZ4eah4YKIZqf2q6P0uPXxB1Mqb2wSzn/LmUFXmS4pxBCNGtKKaNSKho4B2ytmPRVcIdSKkYptVYpVe1dQaXUg0qpSKVUZPnQYNEyJZYVduntVfNSDhVNDvQht8jET79kNWRYQogmRhK/Ji469QIezg70ucIv8/6df63sKYQQovnSWpdqrUMBX2CYUirwskP+B/hprYOBrcAnNbTzntY6TGsd5uXl1bBBC7tKKl/KoQ5z/ABG9e2Iu7MD3x2R4Z5CtCaS+DVxB1OyCeneDoOh9nkxbs4O9OjgKj1+QgjRQpRVt94BTL5se5bWuqjs6QfAkMaOTTQtiRl5ODkY6NquTZ2Od3YwMq6/F1vj0imV2gBCtBqS+DVh+cUmEtIuXXGYZzl/Hw/i06THTwghmiullJdSql3Z4zbAJCDhsmO6VHg6DYhvvAhFU5SYmYdfR1eMV7hJXNHkQB+y8oqJOlm1MnNjKzKV2jsEIVoFSfyasMOnLlJq1nVP/Lp4kpyZR2GJ/AIVQohmqguwQykVA0RgmeO3QSn1glJqWtkxC8qWejgELADm2ClW0UQkZuTSu1Pd5veVG9ffGycHA5vtPNwz/mwOwX/dwreHz9o1DiFaA0n8mrCDqZbCLiE1LNx+OX8fD8wajqfnNmRYQgghGojWOkZrPUhrHay1DtRav1C2/f9prdeXPX5aax2gtQ7RWo/XWifU3qpoyUylZlLO59OrDks5VOTu7MANfTvxXWwa9qrwrrXmxQ1xFJnMvLPzhN3iEKK1kMSvCYtOyaZnR1c6ujvX6Xh/H0uBFxnu2fJkZWVZ10zz8fGhW7du1ufFxcV2iWncuHHYojx8dHQ0I0eOJCAggODgYNasWWPdN3r0aOv77Nq1K9OnT6+xnZycHHx9ffn973+tcB8VFUVQUBB9+/ZlwYIFlf6oePPNN/H39ycgIIAnn3wSgP3791tfLyQkpNIC8gClpaUMGjSo0np+s2fPpn///gQGBjJ37lxKSkoAy8L2t99+O8HBwQwbNowjR45Yz9m8eTP9+/enb9++1S5YvmDBAtzdq969X7duHUop6+eelZXF+PHjcXd3r/S+AdasWUNwcDABAQE89dRTV2wLICYmxvq9CAoKorCwsJpPWgjRlJy6UEBJqa5zYZeKwgM6czq7gNgz9vm74fv4c/z0SxaDe7TjyOkc9iedt0scQrQWkvg1UVprDqRcYFD3ustUVVYAACAASURBVPX2AfTs6IaLo4GjUuClxenYsSPR0dFER0czf/58Fi1aZH3u5OSEyWSyd4j15urqyooVK4iNjWXz5s089thjZGdbert37dplfZ8jR45kxowZNbbzl7/8hTFjxlTa9vDDD/P+++9z/Phxjh8/zubNmwHYsWMH33zzDYcOHSI2NpY//vGPAAQGBhIZGUl0dDSbN2/moYceqvTZvv7661XWk5s9ezYJCQkcPnyYgoICPvjAspb23//+d0JDQ4mJiWHFihUsXLgQsCSPjz76KJs2bSIuLo5Vq1YRFxdnbS8yMpILF6rOubl06RKvv/46w4cPt25zcXHhxRdfZOnSpZWOzcrK4k9/+hPff/89sbGxpKWl8f3339falslk4p577uHdd98lNjaWnTt34ujoWOPnLYRoGpIyy5dyuPrE78YBnTEo+M4Oi7mXlJr5+7fx9PFy45O5w2jn6shHe5IaPQ4hWhNJ/JqosxcLOXepiEE92tf5HKNB0b+zBwnS49ewHnsMxo2z7ddjj111GHPmzGH+/PkMHz6cJ598kr/+9a+VEoDAwECSk5MB+O9//8uwYcMIDQ3loYceorS08jzQzZs385vf/Mb6fOfOndZerYcffpiwsDACAgJ47rnnqo2lYu/U2rVrmTNnDgAZGRnccccdDB06lKFDh7Jnz54q5/br14/rrrsOgK5du+Lt7c3la47l5OSwffv2Gnv8oqKiSE9P56abbrJuO3v2LDk5OYwYMQKlFPfeey9ff/01AMuWLWPx4sU4O1t60729vQFLEurg4ABAYWEhSv1aKOHUqVNs3LiRefPmVXrtW265BaUUSimGDRvGqVOnAIiLi2PChAkA+Pv7k5ycTHp6Ovv376dv37707t0bJycnZs2axTfffANYksI//elPvPLKK1Xe41/+8heeeuopXFxcrNvc3Ny44YYbKm0DSExM5LrrrqO8hP+NN97IunXram1ry5YtBAcHExISAlhuNhiNsrCzEE3dLxnlSzlc3Rw/gI7uzgz162CXxG/lvpMkZubx5ykD8HBxZPbwHmyJSyclK7/RYxGitZDEr4mq68Ltl+vv40HCWenxay1OnTrFTz/9xKuvvlrjMfHx8axZs4Y9e/YQHR2N0Whk5cqVlY658cYb+fnnn8nLs9w5XrNmDbNmzQLgb3/7G5GRkcTExPDDDz8QExNT5/gWLlzIokWLiIiIYN26ddakKTIyskoCBZahlsXFxfTp06fS9q+//pqJEyfi6elZ5Ryz2cwTTzxRpdfr9OnT+Pr6Wp/7+vpy+vRpAI4dO8auXbsYPnw4Y8eOJSIiwnrczz//bB3q+O6771oTwccee4xXXnkFg6H6X5slJSV8+umnTJ5sqbwfEhLCl19+aX1fJ0+e5NSpU5w+fZru3X9db7tiXG+99RbTpk2jS5culdo+cOAAqampTJkypdrXvlzfvn05evQoycnJmEwmvv76a1JTU2tt69ixYyilCA8PZ/DgwdUmn0KIpicpM492ro60d3Oq1/nhAT4cS88lMaPx6gNczC/hte+Pc0PfTozvb7nxdu9IP4xKsfwn6fUToqE42DsAUb3o1As4ORjw96n6h25t/H08+TzyFBmXivDyqNvcQHGVXnvN3hFY/eY3v7lir8z3339PVFQUQ4cOBaCgoMDaw1XOwcGByZMn87///Y+ZM2eyceNG6x/+n3/+Oe+99x4mk4mzZ88SFxdHcHBwneLbtm1bpWGMOTk55ObmEhYWZh0SWe7s2bP87ne/45NPPqmSXK1ataraRBHgnXfe4ZZbbqmU5F2JyWTi/Pnz7Nu3j4iICO68804SExNRSjF8+HBiY2OJj4/nvvvu4+abb2bbtm14e3szZMgQdu7cWW2bjzzyCGPGjGH06NEALF68mIULFxIaGkpQUBCDBg2q9Xt15swZvvjiiyrtm81mHn/8cT7++OM6v7/27duzbNky7rrrLgwGA6NGjeKXX36ptS2TycTu3buJiIjA1dWViRMnMmTIECZOnFjn1xVCNL7EjLx6ze8rFx7owwsb4vguNp2Hx119r2F9vLH9ODkFJfx5ygDryIrOni5MDe7C5xGpLJrUD08XGWouhK3ZPfFTSrkAPwLOWOJZq7V+rsL+N4C5WuvG+W3URBxMySaoW1ucHK6uU9a/i6XAS0JaDl4eXg0RmmhC3Nx+vdg7ODhgNputz8sLc2itue+++3j55ZdrbWvWrFm89dZbdOjQgbCwMDw8PEhKSmLp0qVERETQvn175syZU23Bj4pDIivuN5vN7Nu3r8pQxMvl5OQwZcoU/va3vzFixIhK+zIzM9m/f3+VQivl9u7dy65du3jnnXfIzc2luLgYd3d3Fi5caB12CZbe0W7dugGWXrYZM2ZYh2caDAYyMzOtQyMBBgwYgLu7O0eOHGHPnj2sX7+eb7/9lsLCQnJycrjnnnv473//C8Dzzz9PRkYG//nPf6zne3p6snz5csDyPejVqxe9e/emoKDA2vtWMa6DBw9y4sQJ+vbtC0B+fj59+/YlKiqKI0eOMG7cOADS0tKYNm0a69evJywsrMbP9NZbb+XWW28F4L333sNoNHLp0qUa2/L19WXMmDF06tQJsAxhPXDggCR+QjRxSZl5XN+3U73P79auDUHd2vJdbBoPj+tz5ROuUVJmHiv2JnPX0O4M6FL55vYDN/Tm6+gzfB6RyrzRvRs8FiFam6Yw1LMImKC1DgFCgclKqREASqkwoO6T3FqIYpOZw6cvXlVhl3LlPYQy3LP18fPz48CBA4BlOF9SkmW4zMSJE1m7di3nzp0D4Pz585w8ebLK+WPHjuXAgQO8//771mGeOTk5uLm50bZtW9LT09m0aVO1r925c2fi4+Mxm82VErSbbrqJN9980/o8Ojq6yrnFxcXcfvvt3HvvvcycObPK/rVr1zJ16tQak8eVK1eSkpJCcnIyS5cu5d5772XJkiV06dIFT09P9u3bh9aaFStWcNtttwEwffp0duzYAViGOBYXF9OpUyeSkpKsxVxOnjxJQkICfn5+vPzyy5w6dYrk5GRWr17NhAkTrEnfBx98wHfffceqVasq9VRmZ2dbK65+8MEHjBkzBk9PT4YOHcrx48dJSkqiuLiY1atXM23aNKZMmUJaWhrJyckkJyfj6urKiRMnaNu2LZmZmdbtI0aMuGLSB1i/3xcuXOCdd95h3rx5tbYVHh7O4cOHyc/Px2Qy8cMPPzBw4MBaX0MIYV95RSbScgrrVdilovCAzkSnZpN2seEr+b78bTxORgOLJvWrsi/Ity3D/DqwfE8yplJzNWcLIa6F3RM/bVE+sNyx7EsrpYzAP4En7RacnSSk5VBkMl9VYZdyHdyc8PZwliUdWqE77riD8+fPExAQwFtvvUW/fpaL6sCBA3nppZe46aabCA4OZtKkSZw9W3WhXKPRyNSpU9m0aZO1sEtISAiDBg3C39+fu+++m+uvv77a116yZAlTp05l1KhRleanvfHGG0RGRhIcHMzAgQN59913gcpz/D7//HN+/PFHPv74Y+tSChUTxNWrV/Pb3/620uvVNEfwcuUJT9++fenTpw8333wzAHPnziUxMZHAwEBmzZrFJ598glKK3bt3ExISQmhoKLfffjvvvPOOtQesJvPnzyc9PZ2RI0cSGhrKCy+8AFjmVgYGBtK/f382bdrE66+/Dlh6Zt966y3Cw8MZMGAAd955JwEBAVd8LzXx8/OzDt/09fW1Dq1duHAhAwcO5Prrr2fx4sXW/w81ad++PY8//jhDhw4lNDSUwYMH13lOoRDCPqwVPa9hqCfA5EAfALbGNWyRl59+yWRLXDqPjO+Lt0f1N/Pm3tCL09kFbIlLb9BYhGiNVFNYLLMsyYsC+gJva62fUkotBAxa638rpXKvNNQzLCxM22JNsaZgxd5k/t83sexZPIFu7dpc9fn3frSfrNwiNi4YbfvgWqn4+PgqZfyFEI2jup8/pVSU1rr2bk9h1ZKukeJX6w+dYcGqg3z32Bj6l63lW18T/rWTLm1dWDlvxJUProdSs+bWN3dzsaCE758Yi4tj9XOeS82a8Ut34uXhzLqHRzVILEK0ZLVdH+3e4wegtS7VWocCvsAwpdQY4DfAm7Wdp5R6UCkVqZSKvLz8e3N2MCUbbw9nuratfV5UTQb4eHA8PVeGSQghhBAtWFJGHkpBz46u19xWeIAP+xLPk51fbIPIqvrywCnizubw1M3+NSZ9YFmaas4oP6JOXiA6NbtBYhGitWoSiV85rXU2sAMYj6X374RSKhlwVUqdqOb497TWYVrrsIpFGZq7gykXGNSjXaWCGVejv48HxaVm6xAQIYQQQrQ8iZm5dGvXptZEqq7CA3woNWu+jz9ng8gqyysy8c/vjjKoRztuDe5yxePvHNodD2cHPtwtSzsIYUt2T/yUUl5KqXZlj9sAk4AorbWP1tpPa+0H5Gut+9ozzsZyPq+Y5Kz8es3vK2ct8JImBV5sqSkMixaitZGfOyFqlpSZR69rnN9XLrhbW7q0dWFzAyzm/p8fEzl3qYhnpwys001td2cH7hranW8Pn+VMdoHN4xGitbJZ4qeUclNKGcoe91NKTVNK1WURli7ADqVUDBABbNVab7BVXM3NobJhDaH1qOhZro+3Gw4GRYIUeLEZFxcXsrKy5I9QIRqR1pqsrKwrLgfSFF3DNVGIOtFak5iRRx8v26x2ZTAobhrYmR+PZZBfbLJJmwBnLxbw3o+/cGtIV4b0rPtN7ftG+VkqMu+tWoVaCFE/tlzH70dgtFKqPbAFSxJ3FzC7tpO01jHAoCsc02rW8DuYcgGDgmDftvVuw9nBSG8vN1nSwYZ8fX05deoULWkuqRDNgYuLC76+vvYOoz7qdU280tq2Zcc4AyuAIUAWcJfWOtnWb0A0bRm5ReQWmWzW4weW4Z6f7D3Jj8cymBx45SGZdfHPzUcxa3hqcv+rOq97B1fCA3xYtT+FBRP74upk96WnhWj2bPlTpLTW+UqpB4B3tNavKKWqLtolanUwNRt/H89r/gXn7+NJ1MkLNopKODo60qtXL3uHIYRoPup7TSxf2za3rIdwt1Jqk9Z6X4VjHgAuaK37KqVmAf/AklSKViQxo2wph2tcw6+iYb060M7Vkc1H0myS+MWcyubLg6d5ZFwffNtffQGaB27oxaYjaayLOsXvRvpdczxCtHa2nOOnlFIjsdzN3Fi27dpnG7ciZrMmOiWbQT3qP8yznH8XD05nF5BTWGKDyIQQQlylel0Ta1rb9rLDbgM+KXu8Fpio6lsNTDRb5QXcbNnj52A0cOOAznyfcI5i07VVBtda8+KGODq5O/HwuD71amNIz/aE+Lbloz3JmM0y1UKIa2XLxO8x4GngK611rFKqN5YKnaKOEjNzuVRkuqb5feX8y9bzOSoFXoQQwh7qfU1UShnLegfPYZn3/vNlh3QDUgG01ibgItCxmnZa5JJHwiIxIxdnBwNd2179er+1CQ/w4VKhiX2JWdfUzuYjaUQkX+DxSf3xcKnf9FalFHNv6EVSZh47jtq+2qgQrY3NEj+t9Q9a62mUrb2ntU7UWi+wVfutwYEUS2GXa6noWc5a2fOsFHgRQojGdi3XxGrWtg2sZwwtcskjYVFe0dNgsG1n7+jrOuHqZLym6p5FplJe3pSAv48Hdw3tfk3x3BLUhS5tXWRpByFswJZVPUcqpeKAhLLnIUqpd2zVfmtwMCUbTxcHettg2EaXti54ujjIkg5CCGEHtrgmVljbdvJlu04D3cvadQDaYinyIlqRxIw8m87vK+fiaGRcfy+2xqXXe3jlJz8lk3I+nz9PGYDxGhNTR6OBe0f68dMvWcSdkZvZQlwLWw71fA0Ip+zio7U+BIyxYfst3sGUC4T2aG+Tu3dKKfy7eEriJ4QQ9lGva2INa9smXHbYeuC+ssczge1a1pppVUpKzaScz7fp/L6KwgN8yLhUxMHUqy8Sl5VbxJvfn2CCvzejr7NNT/Pdw3rQxtHIR3uk10+Ia2HTBdy11qmXbSq1ZfstWV6RiWPplxhkg/l95fx9PDiadknWnhNCCDuo5zWx2rVtlVIvKKWmlR3zIdBRKXUCeBxYbLOgRbOQej4fk1nTu1PDrHY13t8bR6Ni85GrH+752rbj5JeU8swt/jaLp62rIzOH+LI++gznLhXarF0hWhtbJn6pSqlRgFZKOSql/gjE27D9Fi3m1EXMGkJtUNGznL+PJ7lFJk5dKLBZm0IIIeqkXtdErXWM1nqQ1jpYax2otX6hbPv/01qvL3tcqLX+jda6r9Z6mNY6sWHfimhqrBU9G2CoJ4CniyOj+nTiu9j0q7p5fDz9Ep/tT+Ge4T3o6+1h05juv96P4lIz/92XYtN2hWhNbJn4zQcexVJt7DQQWvZc1EH5cIpQXxsmfl0sv3RluKcQQjQ6uSaKBmNdw6+BhnqCZbhnyvn8q/ob4m/fxuPqZGThjf1sHk9vL3cm+Huzct9JCktkQJkQ9WHLqp6ZWuvZWuvOWmtvrfU9WmuZbF5HB1Oy6d3JjfZuTjZrs1/nssRPKnsKIUSjkmuiaEiJmXl0cHOinavt/ma43KSBnVEKvqtjdc8fjmWw82gGCyZcRwcb/i1T0QM39CIrr5j10WcapH0hWjoHWzWklFpO1UVm0VrPtdVrtFRaaw6mZDOmXyebtuvu7ECPDq4kpEuPnxBCNCa5JoqGlJiR26C9fQBeHs6E9WzP5iNpPHaFHjxTqZm/bYyjZ0dX7h3Vs8FiGtWnI/4+Hny0J4nfhPmilG2XshCipbPlUM8NwMayr+8BTyDXhu23WKezC8jMLbJpYZdy/j4e0uMnhBCNT66JosGUr+HX0MIDfEhIu0RKVn6tx62JTOVYei5P3+yPs4OxweIpX9A9Ie0Se05IB7oQV8uWQz3XVfhaCdwJhNmq/ZbsoA0Xbr+cfxdPkjLzZDy8EEI0IrkmioZyqbCEc5eK6O3VMBU9KwoP8AFqH+55qbCEV7ccY1ivDtbjG9K0kK50cnfiw92NX9Oo1Kx5e8cJvok+LRXTRbNk0+UcLnMd4N2A7bcYB1OycXE00N/HthWwwNLjZ9ZwPF1uNAshhB3JNVHYRHKmpfetMXr8undwZWAXTzbXkvi9veMXzucX85cpAxtl6KWLo5F7RvRkx9EMTpxrvL9tSkrNPP55NP/87igLV0dzz4c/W6urCtFc2CzxU0pdUkrllP8L/A94ylbtt2QHUy8Q3K0djkbb5+H+PuWVPWW4pxBCNBa5JoqGkphpSXb6NNBSDpcLD/DhQMqFatfPSz2fz0e7k5gxyJcg37aNEg/APSN64uRgYHkjLeheZCrlkZUH+Cb6DE9O7s9L0wOJOXWR8Nd+5M3vj1NkklFVonmw5VBPD621Z4V/+2mt113pPKWUi1Jqv1LqkFIqVin1fNn2lUqpo0qpI0qpj5RSjraKtSkpMpUSeybHpuv3VdSzoxsujgZZ0kEIIRpRfa+JQlxJYkYeBgU9Oro2yuuFB3ZGa9gal15l35LNCRgM8Kfw/o0SS7lO7s5MD+3KugOnuJBX3KCvlV9sYt4nkWyNS+eF2wJ4ZFxf7hnRk+8fH8ukgZ3519ZjTHljN/uTzjdoHELYwjUnfkqpwbV91aGJImCC1joEyzpHk5VSI4CVgD8QBLQB5l1rrE1R/NlLFJvMDVLYBcBoUPTr7CE9fkII0QhscE0UolaJmXn4tndt0CIqFfXv7EHPjq5sPlJ5uGfUyfNsjDnLQ2P64NPWpVFiqWjuDb0oLDHz2f6GW9A9p7CE+z7az54TmfxzZjD3jvSz7vP2dOHtuwez/P6hFJaUcud/9vLU2hiy8xs2Ea0LrTU/HMvgvo/2c9tbu3n3h184nV1g77BEE2CL5Rz+Vcs+DUyo7WRtmR1bPkjbsexLa62/LT9GKbUf8L3GOJukgymWhdsborBLOX8fD7YnnGuw9oUQQlhd0zVRiCtJysxtlPl95ZRSTA7w4cPdSVwsKKFtG0fMZs0LG+Lp7OnMQ2N7N1osFfn7eHJ9346s2JvM/43ujZODbafLXMgr5t6P9hN/Noc3fzuYKcFdqj1ufH9vti4ay2vfH+ODXUlsi0/n2akDmB7ardGXmyg2mVl/6Awf7EokIe0S3h7OdGnrwpJNCSzZlMBQv/ZMC+nKLUFd6Oju3KixiabhmhM/rfX4a21DKWUEooC+wNta658r7HMEfgcsrOa8B4EHAXr06HGtYdjFwZRsurR1adC7Zf4+nnweeYqMS0V4ecgPuhBCNBRbXBOFqInWmqSMPIb6dWjU170pwIf//JjIjoRzTB/Ujf/FnOFQajZLfxOCq5PNloS+ag/c0Iu5H0fy7eGzTB/UzWbtnrtUyO8+2E9SVh7v3TuECf6daz2+jZORp2+2JHtPf3mYRWsOsTbqFC9ND2qUJP1iQQmf/ZzCxz8lkZ5TRL/O7vxzZjDTQrvi7GDkZFYe/zt0hm+iz/CXb2L56//iuKFvJ6aFdOWmgM54uLTI2VSiGjb9aVVKBQIDAWsWo7VecaXztNalQKhSqh3wlVIqUGt9pGz3O8CPWutd1Zz3HvAeQFhYWLOsqxudmk1oAw3zLFexwIuXh1eDvpYQQgiL+l4ThajJuUtF5BWXNvji7Zcb1L0d3h7ObD6SxuRAH/6xKYHAbp7MsGGyVR/j+nnT28uNj/YkcVtoV5v0sJ3OLmD2+/s4d6mIj+8fyqg+nep87oAunnz58ChW7k/hlU0JhL/2I38Y35eHxvaxeY8kWIrrLN+TzJqIFPKKS7mhbyf+cUcwY/t5VfosenZ04/cTruPR8X1JSLvE+kNnWB99hie+OITzVwYm+HszLaQr4/29cXFsnCHEwj5slvgppZ4DxmG5yH0L3AzsBup8kdNaZyuldgCTgSNlbXoBD9kqzqYkM7eIlPP53DOiYXsry5eJOJp2idHXSeInhBANzRbXRCEu90uGZWZMY6zhV5HBoLgpoDProk7z1vYTnLlYyL/vCsVgaNyhjNXFdf/1vfjL10eIPHnhmntCkzLzuOeDn8kpLOHTB4YzpOfVT8MxGBS/G9GT8IGdeX5DHP/aeoxvDp3h77cHMayXbXpqY05l8/6uJL49fBYF3BrSlXmjexHQtfbKqkopBnTxZEAXT54M78+BlGzWR59m4+GzbDqShruzA+EBPkwL7cr1fTri0ADV5oV92bLHbyYQAhzUWt+vlOoM/PdKJymlvICSsqSvDTAJ+IdSah4QDkzUWpttGGeTEd2AC7dX1NHdGW8PZ+LPSmVPIYRoJPW9JnbHkhx2xjIn8D2t9euXHTMO+AYor2X/pdb6hdraPZp1lHEfj7va9yCamPScQtKc8vjTzvY47W7cP8ovFpSQpHJ4dg90aO/EUz96wI+NGkK1zFqT2Sab29Y40K9z/ddDzi8uJf6spRCefxcPnthhmz+R2/UoISIzjzHLS/H2cKFHR1cc6pkwX8gv5uzFQnIKSjAaFJ07udDZ04WDBQYe3VL/GN26QWlhCZm5RbwbV8zbRzSORgMd3Jzo5O6Mh4v9hvO2BGatKTVrTGaNqVRTajZbH5vM5fvMmEo1BoPiOu+Gu7Fjy+9kgdbarJQyKaU8gXNA9zqc1wX4pGyenwH4XGu9QSllAk4Ce8u6q694YWtuDqZewMGgCLzCHRpb8O/iKZU9hRCi8dT3mmgCntBaH1BKeQBRSqmtWuu4y47bpbWeWtdgup8t4LUl0XWPXjRJhSVmikvNeLqkNvprayC30IQG3J2NGBq5cEltCk1mik2luDs7Up+cqtSsyS8uBQWuTkaMNn5vGigymSk2mVGAi6Ohzms3ayyLxxebzJi1RimFk9GAk4OBhvgOaMBUqikptSQnYHlNR6MBR6O65s+mfF6W1pZnWlfYBpXek+LXDarCHqUq7LchXeGBrrBVV9lW9lj/Gr/Wuuzfqs8rn1kdhVKW92NQClenaxtuO6iWfbZM/CLL5ui9j6VQSy6w90onaa1jqCZGrXWLv70QnZrNgC6etLnGb3Bd+Pt48PFPWZhKzdJ1L4QQDa++18SzwNmyx5eUUvFAN+DyxO+quDq2IdQn9FqaEE1AQtolipWZYJ/GWyy9ovRLRaChs2fTKhRXbDJzMDWbDk4u+F3l+oY5hSaOpuXgbjQwwMcTF8eG+xspr7iUpIxccotMuLdxpFcntxrn1JWUatJzCknPKcRcasbTyYGu7Vzo4OZcr+S2PkrNmvP5xWTlFnOxoISSYo3R0UhHd2ccjQqzWVOqKftXYzZrS+9WddvMGrO2JES2pFR50qQwKMtzy7+/PkZjee2yRLM8jorbrjUuo0FhNBhwMCgcjAqjQVkeGwxVnhuN5Y8t59j8+3n0hxp32Sy50lo/UvbwXaXUZsCzLKkT1Sg1aw6lXuT2RpoY7e/jQbHJTHJWHn296z8UQgghxJXZ4pqolPLDcmP052p2j1RKHQLOAH/UWsdWc37lytc7d17Ny4smaP4/dxDQrS1v322fJSFrr21pP07AZ6sP8n38OfY+PaHOVSp3Hc/g/1ZE0rVdG1bOG45L2zYNGqcbMMCs+ays+EtRqZkFE/ry4Jhfi7+czMrjw91JfB6ZSmGJmXH9vXhwdG+C+nRs9OUhjFgKbXgB5/OK+fbwWdYfOlNlsfo2jkZcnYy0cSr/1wHXy7a5OjlYHjuWb3O4bL8RJ6ORErOld7O8l7Ok1EyRyUxJWS9k5W2/Pi8p1VW2FZssPeSWXlJLr6WTg6Gs99KAk1FVfu5gwKmsZ9OxbLtzhf2Oxl97Wx2NBjzbONK2jSOeLg5Nq1Ollv8ntizush5YDXyjtU62Vbst1Ylzljs+g3o0bEXPcv4+noBlwXhJ/IQQomFd6zVRKeUOrAMe01pfPk7/ANBTa52rlLoF+Bq47vI2WkLla/GrYpOZ1AsF3BrSQfxGDwAAIABJREFU1d6hNEkP3NCLb6LPsCYilXmjr7y24JbYNH7/2UH6eLvz6QPD6NRI69oZy4q/3DSwMy9siGPplmN8HX2GR8f3YUtsOptj03AwKKaHdmPe6N7WAn321sHNiXtG9OSeET3Jzi/GZNa4OhlxcTDavciPqDtbpqf/Am4A4pRSa5VSM5VSDbc4XTPXGAu3V9TH2w2jQck8PyGEaBz1viaWrV+7Dliptf7y8v1a6xytdW7Z428BR6VU3WvOi2Yp5Xw+pWZNb6/GXcqhuQj2bUdYz/Z8/FMypeba73N8E32ah1ceYGBXT1b/34hGS/oq6uzpwtt3D2b5nKEUFJeyaM0hfvoli0fG9WHPUxP4529CmkzSd7l2rpaiL65ODpL0NTO2HOr5A/BDWZGWCcD/AR8BnrZ6jZbkYEo27Vwdr3osen05Oxjp4+XG0TSp7CmEEA2tvtdEZRnL9SEQr7V+tYZjfIB0rbVWSg3DchM3y5bxi6YnsWwph16dGncph+bkgRt68fDKA2yJTePmoC7VHrNqfwrPfHWY4b068MF9Q3F3tm9JifH+3mx9fAwRyRcI69keNzvHI1o2Wy/g3ga4FbgLGAx8Ysv2W5Lyhdsbc7y2v48nUSf/P3v3HR9llTVw/HfTeyCNkgAh1BDSIEgQUIoiCiK+YAGkC9ZFd9W1bMF1LSzK2lARBLEgWLCgoosoqCgBAgSkCWlAqJmEhPQ29/1jJmMCCaRMMinn+/mMZp5ynzNJmJszz73nnmu06wkhRGtWxz5xMDAV+E0pVV6G8wmgM4DWegmmpSLuMVe/LgBu19aumCCanBRDHgBdG3nx9uZkVFh7gtq6snxLSpWJ3/ItKfz7qwMM7+XPG3f0bzKLlbs5OXB1T1lnWTQ8a87x+wi4AvgWWAz82FLX36uvnMISDp/N4YZqPo1qKL07eLJuz0nOF5bgVcOJz0IIIWqvrn2i1noLl6lSrrVebG5TtCLJ6Xn4eTjh7Sr9d3Xs7RQzrgzm6a8Psud4FpGdTHUUtNYs/iGRRd8d5obw9rx0W7SlmIoQrYk1f+uXA9201ndrrTdJ0le9vWnZaE2jFXYp19s8VlyGe1avtMzIpt/PWr3csBCi1ZE+UVhViiGPEBnmeVm3DeiEh7MDK35JAUxJ34JvD7Hou8NM6BfEK7dL0idaL6v95mut/6e1LrNWey1ZeWGX8k+iGkt5Zc9DkvhVa92ek8x8ewdf7T1l61CEEM2Y9InC2pINuTLMswY8XRy5NaYTX+89xcmsAv75xX7e/DGZqbFdeH5iRNMquy9EI5PffhtIOJ5FN3/3Rh+u0cHbBS8XBw6dksqe1fk1yVQf4fXNSXLXTwghRJOQXVCCIbdYKnrW0MzBwRi1ZsIbv/Je3FHuujqEp24KkwqUotWTxK+Raa3ZfSyr0ZZxqEgpRe/2XnLH7xK2JmXg5eLAwVPn2fx7uq3DEUIIIaSwSy118nFjVJ/2nMou5OFRPXlsdO9GX/xciKbI2lU9xwFXmZ/+qLX+0prttwTHMwvIyCtu9Pl95Xp38OTTXSfQWsub4AWOZ+ZzIquAv48J5e1fUnl9cyLDewfYOiwhRDMlfaKwlhSDaSmHEH+Z41dTz/1fONMGdeHK7rLEpRDlrHbHTyn1HPAAcMD8mKeUetZa7bcUu4+bF27v1Ph3/MA0zy+3qJS0cwU2uX5TtjXZNMxzaA9/5gztyo7Uc2xPybRxVEKI5kj6RGFNyel52NspOvs0ztq/LUFbdydJ+oS4gDWHeo4BrtVar9BarwBGA2Ot2H6LsPtYFq6O9vRsZ5tP7XqZK3vKcM+LxSVn4OPuRM92Htw2oDO+7k68vjnR1mEJIZon6ROF1SQb8ujU1lWqUQoh6sXa7yAVxy96W7ntFmH38SwigrxtVlWql2VJBynwUpHWmrikDGJDfFBK4epkz6whXdn8ezr7T2bbOjwhRPMkfaKwiuT0PJnfJ4SoN2tmH88Bu5VSK5VS7wA7gWes2H6zV1hSxoGT2TYp7FLOw9mBzj5uHJQ7fpUcy8znZHYhg0J8LdvuiO2Ch7MDr29OsmFkQohmSvpEYRVGoybVkCfz+4QQ9Wa14i5a69VKqc3AAPOmR7XWpy93nlLKBfgJcDbH84nWer5SqiuwBvDF1GFO1VoXWyteW9h/8jwlZdpmhV3K9W7vKUs6XCDOPL8vtkLi5+3qyNRBXXjzxyRSDPJpqxCi5uraJwpxodPnCykoKZM+SAhRb/W+46eU6lf+ADoAaeZHR/O2yykCRmitI4EoYLRSKhb4D/Ci1ro7cA6YXd9YbS3heBYA0Y28cPuFerf3JMWQR2GJrC1cbmtSBn4eTnQPqPyJ6qzBXXG0t+PNH+WunxDi8qzQJwpRSflSDrKGnxCivqxxx2/RJfZpYMSlTtamVbJzzU8dzY/y8yabt78DPAm8UZ9AbW33sXMEtnElwMvFpnH07uCFUUPi2Vz6Bsq0E601ccmZDAzxvWiJC39PZ26N6cSaHcd44JoedPB2tVGUQohmol59ohAXSk43L+XgJ0M9hRD1U+/ET2s9XCllBwzSWv9SlzaUUvaYhnN2B14DkoAsrXWp+ZA0ILCK8+YCcwE6d+5cl0s3qt3Hsoiy8TBPMN3xAzh46rwkfkBqRj6nz1ee31fR3KtC+GD7Md76OYV/jO3TyNEJIZoTa/SJQlSUbMjDzcmedl7Otg5FCNHMWaW4i9baCCyux/llWusoIAi4Auhdw/OWaq1jtNYx/v7+db18ozibU8iJrAKbD/ME6OLrjoujnSzpYFbV/L6KOvm4cVNkRz7YdozMvGY9zVQI0Qjq0ycqpToppTYppQ4opfYrpR6o4hillHpFKZWolNorQ0hbtvKKnheOSBFCiNqyZlXP75VSE1Q93pm01lnAJmAQ0EYpVX5HMgg4YYUYbSbhmHl+nw0repazt1P0bOfJ75L4Aab5ff6eznS7xPyJe4Z1o6CkjJW/pjZeYEKI5qyufWIp8JDWug8QC9ynlLpwqMH1QA/zYy7NfBqEuLQUqegphLASayZ+dwEfA0VKqfNKqRyl1GVLRyql/JVSbcxfuwLXAgcxJYATzYdNB76wYqyNbvfxLBztFWEdvWwdCmCu7Clr+Znn92UwqIr5fRX1aOfJqD7teOfXVHKLSqs9TgghzOrUJ2qtT2mtd5m/zsHUH1441eEm4F1tEofpg9IOVo5fNAFFpWWkncuXip5CCKuwWuKntfbUWttprZ201l7m5zXJcjoAm5RSe4EdwHda66+AR4G/KKUSMS3psNxasdrC7mPn6NPBCxdHe1uHAkCv9l4YcotJzymydSg2lWzI42xOUbXDPCu6d3h3sgtK+GDb0UaITAjRnNWjT7RQSgUD0cC2C3YFAscrPK92HrxSKl4pFZ+enl67FyCahGMZ+Rg1lxyRIoQQNWW1dfwAlFJtMQ09sZSt1Fr/dKlztNZ7MXVsF25PxjTfr9krLTOyNy2bW2M62ToUi1BzgZffT+fg79l6J4yXz+8b1O3yiV9UpzYM7u7LWz+nMG1QcJNJ4oUQTVNd+sQK53oAa4EHtdZ1Gp6htV4KLAWIiYnRdWlD2FZSumkpB7njJ4SwBqvd8VNK3YlpIfb/Af8y//9Ja7XfnB0+k0t+cZnNF26vqJc58Wvtwz23JmXQzsuZYF+3Gh1/77DunM0pYu2utAaOTAjRnNWnT1RKOWJK+lZprT+t4pATQMVPEpv9PHhRtfI1/CTxE0JYgzXn+D0ADACOaq2HY7qLl2XF9put8oXbo5pARc9yvh7OBHg6c/BU6y3wUr5+3+Xm91V0ZTdfIju14c0fkyktMzZwhEKIZqxOfaK5GMxy4KDW+r/VHLYOmGau7hkLZGutT1kpbtGEJKfn4u/pjKeLo61DEUK0ANZM/Aq11oUASilnrfUhoJcV22+2dh87h4+7E519anZXqbH0auUFXpLSczHk1mx+XzmlFPcO68axzHy+/k3+zhJCVKuufeJgYCowQimVYH7coJS6Wyl1t/mY9UAykAgsA+5tgPhFE5BiyCNE7vYJIazEmnP80szVOT8HvlNKnQOkCgamip7Rndo0uTV4Qjt4sfLXVErLjDjYW/MzgOZha1LN5/dVdG1oO3oEePDG5iTGRXZscj9XIUSTUKc+UWu9Bbjkm4rWWgP3WSVK0aQlG/K4LqydrcMQQrQQ1qzqebPWOktr/STwD0xDVcZbq/3mKrughMSzuU1qfl+53u09KS41kpqRZ+tQbCIuOZMO3i61vhNrZ6e4Z1g3Dp3O4YdDZxsoOttJOJ7Ffzf8TmFJma1DEaLZkj5R1FdWfjGZecWE+MkafkII66h34qeUGqCUur7iNq31j5gWoQ2vb/vN3d60prNw+4XKC7y0xnl+NV2/rzo3RnYksI0rr21KxPThe8vw4+F0Ji2N45UfEpn73k5J/oSoJekThbUkS2EXIYSVWeOO33+AA1Vs3w88b4X2m7VtyZnY2ykigrxtHcpFugd4YG+n+P1060v8jpzNJSOvmNhaDvMs52hvx11Xh7DrWBbbUjKtHJ1tfLnnJHe+s4NgP3f+dkMoPx9JZ8678ZL8CVE70icKq0gxL+UQImv4CSGsxBqJn6fW+qJ5C+ZtflZov1n7OdFAVKc2TbIil7ODPd383VtlgRfL/L5aFHa50K0xnfDzcOL1zUnWCstm3o87yrw1u4nq1IY1c2OZc1UICydEsCXRwJ3vxFNQLMmfEDUkfaKwimRDLg52ik5NrDCcEKL5skbid6kxjK363So7v4Tf0rIY0r3p9vW923u1yqGecckZBLZxrVeH6uJoz6whXfnpcDq/pWVbMbrGo7Vm8Q9H+Pvn+xjeK4B3Zw3E29X0IcUtMZ14YWIkvyQZmP3ODvKLS20crRDNgvSJwipSDHl09nHDsRUWXxNCNAxrvJtsVEo9oypMlDKvLfQU8IMV2m+2fk0yYNQwtEfTTfx6tffkRFYB5wtLbB1KozEaTfP7arOMQ3XuiO2Cp4sDb/yYaIXIGpfRqHn664O8sOEwN0cH8ubU/rg62Vc6ZkL/IP57ayRxyRnMWinJnxA1IH2isIrk9DwZ5imEsCprJH4PASFAolJqrVJqLXAE6An8xQrtN1s/JxrwcHYgsgkt3H6h0A6mAi+HW9E8v8NncziXX1LrZRyq4uXiyLRBXfhm32kSz+ZaIbrGUVpm5JFP9rJ8Swozrgxm0S2R1X6qfHN0EC/eFsX2lExmvL2DvCJJ/oS4BOkTRb0ZjZoUQ54UdhFCWFW9Ez+tdZ7WehJwLbDS/Biltb5da918/hJuAL8kGogN8WnSwzR6t/cC4GArSvzK5/fFhvhYpb2Zg7viZG/Hmz82j7l+hSVl3P3+LtbuSuMv1/Zk/o19sLO7dGXTm6ICefn2aHYePceMt7eTK8mfEFWSPlFYw8nsAopKjYT4y1IOQgjrseY6fsla6y/Nj2RrtdtcHc/M52hGfpOe3wfQwdsFTxcHDp1qPQVetiZl0MnHlaC21plu4+fhzKQrOvPZ7hOcyCqwSpsN5XxhCdNXbGfjwTM8dVMY80b2qPFyFjdGduSV26PZdSyLGSu2k9OKhgcLUVvSJ4r6SJGlHIQQDaDp3opq5n4+YgBgSA9/G0dyaUopQtt7tZolHYxGzbaUTGK71n+YZ0VzrgoBYNlPTffvO0NuEZOWxrHz6Dlevj2KaYOCa93GmIgOLJ4UTcLxLKav2N6q5oYKIURjSZalHIQQDcDmiZ9SqpNSapNS6oBSar9S6gHz9iilVJxSKkEpFa+UusLWsdbGlsR0Oni70K0ZvGn37uDJodM5LWoh8uocPH2e7ALrzO+rKLCNK+OjA1mz4xgZuUVWbdsa0s7lc8uSrSSl57JsWgw3RQXWua3rwzuweHI/9qZlM225JH9CCGFtKYY8PJwd8PdwtnUoQogWxKqJn1JqiFJqpvlrf6VU1xqcVgo8pLXuA8QC9yml+gALgX9praOAf5qfNwtlRs2vSRkM7u5X42F0ttSrvSe5RaWknWvawxStIS7ZtNi6NSp6Xujuq7tRVGrk7V9Srd52fRw5k8PEN7ZiyC3ivdkDGd47oN5tju7bnten9GP/yWymLt9OdoEkf0JcqI59ohAkpecS4u/eLP6GEEI0H1ZL/JRS84FHgcfNmxyB9y93ntb6lNZ6l/nrHOAgEAhowMt8mDdw0lqxNrT9J7PJyi9p0ss4VFRe4KU1DPfcmpRBF183OrZxtXrb3QM8uK5Pe97Zmtpk5r8lHM/ilje3UmrUfHTXIAYEW6egDcCosPa8PqU/B05mM3X5NrLzm8ZrFqIpqGufKAQgFT2FEA3Cmnf8bgbGAXkAWuuTgGdtGlBKBQPRwDbgQeB5pdRx4AX+6DybvPL5fYObeGGXcr3am35Mh0637AIvZUbN9pQMBjXA3b5y9w7vRk5hKau2HWuwa9TUliMGJi+Lw9PFgbX3DCK0g9flT6qla/u0Y8kd/Tl0Kocpy+PIyi+2+jWEaKbq1CcqpVYopc4qpfZVs3+YUirbPA0iQSn1T6tGLWyusKSME1kFhPhJRU8hhHVZM/Er1qZJYhpAKVWrj6qUUh7AWuBBrfV54B7gz1rrTsCfgeVVnDPXPP8vPj09vd4vwFq2HDEQ2sELv2YyNt/D2YHOPm4tfkmHg6fOc76wtEGGeZaLCGrD0B5+vPVzCoUlZQ12ncv55rdTzFq5g05t3fjk7ivp4ttwnxyPDG3Hm1P7c/h0LpOXbeNcniR/QlD3PnElMPoyx/ystY4yP56qR4yiCTqakY/W0LUZ1AgQQjQv1kz8PlJKvQm0UUrNATYCb9XkRKWUI6akb5XW+lPz5ulA+dcfAxcVd9FaL9Vax2itY/z9m0b1zILiMnYePceQ7g2XXDSEXu09W/xQz7jk8vX7GvZnc++w7hhyi/h4Z1qDXqc6a7Yf474PdtE30IuP7hpEOy+XBr/m8N4BLJ3Wn8T0XCa/tY1MSf6EqFOfqLX+Cchs6OBE05WcblruMUSGegohrMya6/i9AHyCKYHrBfxTa/3K5c5TppnLy4GDWuv/Vth1Erja/PUI4Ii1Ym1I21MzKS4zNvllHC4U2t6T5PRcm96lamhbkzLo6udOe++GTYRiQ3yI7tyGN39MorTM2KDXutCSH5N47NPfGNLDn/fvHIi3m2OjXXtYrwDemhZDcnouk5fFNcnqpkI0lrr2iTU0SCm1Ryn1jVIqrLqDmuqoGHFpybKGnxCigVizuMt/tNbfaa0f0Vo/rLX+Tin1nxqcOhiYCoyoMGfhBmAOsEgptQd4FphrrVgb0pYj6TjZ23GFFYtoNIbeHbwwakg8m2vrUBpEaZmR7SmZDX63D0xrI947rDtp5wr4cm/j1CTSWvPc+oMs+OYQYyM68Na0GNycHBrl2hVd1dOf5dMHkGLIY/KybRiaePJnNGoKS8rIzi/hbE4hxzPzSTyby/6T2SSezaWotOV+ECIaVj36xMvZBXTRWkcCrwKfV3dgUxwVIy4vOT2P9l4uuDs3/nu4EKJls+a7yrWYKphVdH0V2yrRWm8BqqtX3N8KcTWqn48YiAlui6uTva1DqZXyAi8HT52nb6C3jaOxvgOnzpNTVEpsSOMk5CN7B9CrnSdvbE7ipshA7OwariR3aZmRv322jw/jjzNlYGeeuqkv9g14vcsZ0sOPFTMGMPudHUxaGscHc2Lx97TefFetNem5RSSdzSPZkMuxzHwKissoKjFSVFpGUamR4lIjRaV/PC8qMVJcZqSoxPzcfEzxZe7I2ikIbOtKsK87IX7uBPu509XPnRA/DwLbujb69zm/2LTsyvHM/Er/z8grwtvVER93J3zcnfF1dzJ97eFk+drX3bnZvS81c3XqEy/HPAe+/Ov1SqnXlVJ+WmtDfdoVTUeKIVfu9gkhGkS9Ez+l1D3AvUCIUmpvhV2ewC/1bb85Sc8p4tDpHB65rpetQ6m1YF93nB3sWuw8v61Jpvl9DVnRsyI7O8U9w7rx4IcJbDx4hlFh7RvkOoUlZTy4JoFv95/mTyO685drezaJdZ8GdzcnfyvjmbQsjg/mDCTAs3ZDbAtLyjiakU9Sei7J6bkkp+eZv84jp6jUcpyTgx3uTvY4O9jj7GiHk70dzo52pucOdrg7O+Ds8Mdzp/KvqzjWtM/0vKCklBRDPimGPFINeazddYLcCtd1tFd09nGjqzkZLE8Ku/q5097LpU4/h/JqfuVJ3fFzpsQuzZLgVZ476eJoR1BbN/w8nDiRVchvJ7LJzCumpExX2b6ro70pCfQwJ4bu5Ylh1cmih7NDk/h9ak4auk9USrUHzmittVLqCkwjdzLq265oOpINeYwJ72DrMIQQLZAyFR2rRwNKeQNtgeeAxyrsytFaN9oE9T4uDvqDYNuWPi4pM1JQUoa7k4NN77jUVV5RKSiFewu8K5BfXIZRazwaceiMBnKLSrEDqw7ZMWowak2ZUVNqNFJm1JbEpakpNWryi8uwU+Dm5EBV/yzKX49Ra4xG82vTmgvfm5RS2CmFvQI7pbCzMz1vzH9qlWLVpqGi5V+bizeWR4tdpTjNXysF6ArtmO5glrelufD92HSuUpXbqLitKpo/2i3/WmtMD0xfG7U277sw9qpcfCFVzZPqfhyqwn+cHexwqOcPLvr37J1a65h6NdIA6tsnKqVWA8MAP+AMMB/TGoBorZcope7HVPW6FCgA/qK1/vVy7cbExOj4+PjavRhRSWFJGecLSghowIJZ5/KKif73d/x9TCh3Dg1psOsIIVoupVS1/WO9/xrVWmcD2cAkpZQ90M7crodSykNrbfsFzRpJqVGjUA06rK8h2dkpSqu5U9CcaUw/G0f7xv25KMDZwY7CkjJKjbrWf+hqTMlAmdbm/1+cHCilcHW0x9G+6SV9AA52Cjcne/KLy8gvLsXZwe6PpMf8mqpKmOztFPbKzpLk2NmpahOKxlSefFWV3lSVwBq1prTUUtG/CgplbtPBXmGn7CokdXVPahUXJoaXbqg8AdTmZNBoThQr7q/8RF+8vepDLt7ewtW3T9RaT7rM/sXAYmvFK2rurvd2Ep+ayUd3DyKsY8NMiUg2mObZd/OXNfyEENZntdsQ5k8hn8T0CWX5xBkNRFjrGpfi1jeKKBt+mqm1ZtBzP9C/S1tem9LPZnHUx/ItKfz7qwPs+Ns1Vp2TZWsJx7OY9tovLJ4czdiIjo167cKSMoYu3ESvdp68f+fAKo8pM2qOZeZz6NR5Dp3O4dDp8/x+OoejmfmWP75dHe3p1d6T3uZHr/Ze9G7vSVt3p0Z8NXW3IzWTGSu2k1dsKpYS2MaVEH/TvLluAR6E+HkQ4m8aItlcPzipTkmZkbRzBaQa8kjNyMPdyYEgH1c6tXWjvbdLk03am7wmPgTV1n2isK4fD6fz42FT8bbZK+P5/L7BDVIhOjldKnoKIRqONce9PQj00lq3yrkGSem5nD5fyJAefrYOpc5CzQVedqRmckMLml9QPr9vYNfGX1vRxdGeO4d05blvDrHneBadfNw4dPo8h07l8Ls5yTt8JpcC8zIaSkFXX3dCO3hxc3QQvdp7EtrBk05t3Zp1QjQg2IdNDw8jPbeIrn7uNqk4aiuO9naWuX+iVWnVfWJLUmY0VU3u7OPGq5Oimbwsjlkrd/Dx3YOsXnkz2ZCHo70iqK2rVdsVQgiwbuJ3HNPwllZpyxFTQbUh3Ztv4hfduS0hfu48/PEefN2dGNhIhVAaWlxyBj0CPGx2F3NKbBde25TILW9upbj0jyqSPu5O9G7vyaQrOpvu5HXwpEeAZ4utvBjg5dKgc2OEaGJadZ/Ykqzdmcah0zksnhxNZKc2vDalH7PfiedPq3ezbFqMVef0p6Tn0dnHDQcZCSCEaADWTPySgc1Kqa8By+JdFyzK3mJtSTTQxdeNTj5utg6lzlyd7FkzN5ZJy+KY/vZ2lk8fwOBmnMiCaZjdjtRMJvQLslkMHs4OPH1zOD/+nm4epmlK8vw9nKViohAtV6vuE1uK/OJSFn33O1Gd2lgqbQ7rFcCT48L4x+f7eOrL/Tw5Lsxq7+XJhlxCZH6fEKKBWDPxO2Z+OJkfrUZJmZG45Exuimrc+WMNIcDLhTVzB3HHW9uYtXIHS6fFcHXP5rvw728nsskvLmNQN9vevRwX2ZFxkc3/90MIUWOttk9sSZb/nMKZ80UsntyvUnI3NbYLxzLyWPZzCl183Zk1pGu9r1Vm1KRm5DO8V0C92xJCiKpYLfHTWv8LQCnlYX6ea622m7qE41nkFpUytBnP76vI39OZ1XNjueOtbcx5J57Xp/Tjmj7tbB1Wnfwxv69xFm4XQgho3X1iS5GeU8SSH5O4LqwdA4Iv7kMevz6UY5n5/PvrAwS1da33eq0nswooLjUS4i/zgYUQDcNqg8iVUn2VUruB/cB+pdROpVSYtdpvyn4+YsBOwaCQlpH4gWn+2eo5sYR28OTu93fy7b5Ttg6pTuKSM+jVzhNfj5ZTpVQI0fS15j6xpXhp42GKSo08Orp3lfvt7BQv3RZNRKA3D6xJ4Le0+k3pTDaUV/SUoZ5CiIZhzdnDSzEtJNtFa90FeAhYZsX2m6xfEg2EB7XB283R1qFYlbebI+/dOZCIIG/u+2A3X+45aeuQaqW41Eh86jliQ+RunxCi0bXaPrElSDyby5odx5k8sPMl59y5OtmzbHoMPu5OzHpnByeyCup8zeR0001hueMnhGgo1kz83LXWm8qfaK03Ay3+3et8YQkJx7MY2syLoFTHy8WRd2cPpH/ntjywZjef7kqzdUg1tjcti4IS28/vE0K0Sq2yT2wpFnxzCFdHex4Y2eOyxwZ4uvD2zAEUFpcx6+0d5BSW1OmaKYY8PF0c8G0m67MKIZofayZ+yUqpfyilgs2Pv2OqataixSVlUGbUzXr9vsvxcHZg5awBxIb48tBH+oB1AAAgAElEQVTHe/hox3Fbh1Qjccm2W79PCNHqtco+sSWIS85g48Ez3DOsW42nCfRs58kbd/QnKT2Xe1ftoqTMePmTLpCcnkeIv4dUexZCNBhrJn6zAH/gU/PD37ytRduSaMDV0Z7ozm1sHUqDcnNyYMWMAQzt4c9f1+7l/bijtg7psrYmZ9C7vSdt5dNTIUTja5V9YnNnNGqeXX+QDt4uzK5lpc4hPfx45ua+/HzEwPx1+9Fa1+r8FEMeIX5yU1gI0XCsWdXzHDDPWu01F1sSDQwM8cHZoWUuul2Ri6M9S6f2575Vu/j75/soKTMyc3D9S1g3hKLSMnYePcekKzrbOhQhRCvUWvvE5u7LvSfZm5bNolsicXGsfb9+24DOHM3I5/XNSQT7ujH3qm41Oq+guIwTWQWS+AkhGlS9Ez+l1LpL7ddaj7vEuZ2Ad4F2gAaWaq1fNu/7E3AfUAZ8rbX+a31jtbaTWQUkp+cxuRUlFy6O9rxxR3/+tHoX//ryACVlxhp3bI1pz/FsCkuMxIbIME8hROOpT58obKuwpIyF3/5Onw5e3BwdWOd2Hh7Vi6OZ+Ty7/hCd2rpxvXnh90tJzTBX9JTCLkKIBmSNO36DgOPAamAbUJvB6aXAQ1rrXUopT2CnUuo7TIngTUCk1rpIKdUkVzPdcsQAwNAezXeB87pwcrBj8eR+/PnDBJ5df4jiUiP3j7j8BPjGFJecgVKyfp8QotHVp09EKbUCGAuc1Vr3rWK/Al4GbgDygRla6131DVrAu1tTOZFVwH8mRGBnV/d5dnZ2ikW3RHIqq4AHP0ygvbcL0Z3bXvKc5HRT4hciSzkIIRqQNeb4tQeeAPpi6oyuBQxa6x+11j9e6kSt9anyDktrnQMcBAKBe4AFWusi876zVojT6n5ONODv6UzPdq3vjdrR3o6Xbovi5uhAXthwmP9+d7jW8xka0takDELbe9HGTeb3CSEaVZ37RLOVwOhL7L8e6GF+zAXeqFe0AoCs/GIW/5DI1T39rVKszcXRnmXTYmjn5cKcd+M5npl/yeNTDKalHIL93Op9bSGEqE69Ez+tdZnW+lut9XQgFkgENiul7q9NO0qpYCAa0yekPYGhSqltSqkflVIDqjlnrlIqXikVn56eXq/XUVtGo+bXRANDuvu12gpcDvZ2vHBLJLf0D+KV74+w8H+/N4nkr7CkjF3HzskyDkKIRlffPlFr/ROQeYlDbgLe1SZxQBul1OXHEopLevWHRHKLSnnihlCrtenr4cyKGQMoKdPMXLmD7ILql3lITs+jo7cLbk5WK70ghBAXsUpVT6WUs1Lq/4D3Mc3LewX4rBbnewBrgQe11ucxDUH1wdRpPgJ8pKrIrrTWS7XWMVrrGH//xh1uefD0eTLyihnSQtfvqyl7O8V/JkQwZWBn3ticxNNfH7R58pdwPIuiUpnfJ4Swjfr2iZcRiGkoabk08zZRR0cz8nh3ayq39O9Er/aeVm27e4AHS+7oz9GMPO55fyfFpVUv85BkyJP5fUKIBmeN4i7vYhrSsh74l9Z6Xy3Pd8SU9K3SWn9q3pwGfKpNGcR2pZQR8AMa97beJZTP72vJ6/fVlJ2d4unxfXG0t2P5lhRKyow8eWNYveZI1MfWpAzsFFwh8/uEEI2svn2ilWOZi2k4KJ07t54iZLW18H+/42Bnx19G9WyQ9gd182XB/0Xw0Md7+Ntnv7FwYkSlkUJaa1LSc7kpqvnm7yUlJaSlpVFYWGjrUIRoNVxcXAgKCsLR0bHG51hjTMEdQB7wADCvwpuZArTW2qu6E8138ZYDB7XW/62w63NgOLBJKdUTcAIMVojVarYkGugR4EE7Lxdbh9IkKKWYf2MfnBzsWPpTMiVlRp4ZH26T5C8uOYOwjt54u9b8H4IQQlhJnfvEGjoBdKrwPMi87SJa66XAUoCYmBjbj8NvgnYfO8fXe08xb0T3Bu3PJ/QP4mhmPq98f4RgP3fuG97dsi8jr5jzhaV0bcZLOaSlpeHp6UlwcHCrnf4iRGPSWpORkUFaWhpdu9Z8abV6J35a6/oMFx0MTAV+U0olmLc9AawAViil9gHFwHRt6/GDFRSWlLE9JZPJA+UT1IqUUjx+fW+c7O1YvCmR4lLNwokR2Ddi8ldYUsbuY1lMv7JLo11TCCHK1bNPrIl1wP1KqTXAQCBba32qga/ZImltWqzdz8OZuVc3/LJEf76mB0cz8nj+f7/TyceNcZEdAdPC7QAhzXioZ2FhoSR9QjQipRS+vr7UtsaJTWcRa623UH2p6zsaM5ba2Hn0HEWlRobKMM+LKKV4+LpeONrb8eLGw5QajSy6JRIH+4b+W8hk17FzFJcZpbCLEKJZUkqtBoYBfkqpNGA+4AigtV6CaQjpDZiKxuQDM20TafP3v/1n2JF6jmdu7ouHc8P/OaSUYuHECE5lFfLwx3vo6O1CTLAPyemmip7NfSkHSfqEaFx1+TfXOH+NtzA/HzHgaK8Y2FWSi+o8cE0P/jq6F18knOSBNQmUlFU9od3a4szz+2KCZX6fEKL50VpP0lp30Fo7aq2DtNbLtdZLzEkf5mqe92mtu2mtw7XW8baOuTkqKTPyn28P0T3Ag9tiOl3+BCtxdrDnzan9CWzjypx340k15JFsyMPJ3o7Atq6NFkdLZG9vT1RUlOWxYMECW4fUaJ599tlq92mtGTFiBOfPnwdMycIdd/xxb6W0tBR/f3/Gjh1bp2tnZWXx+uuv1/q83Nxc7rrrLrp160b//v0ZNmwY27Ztq1Ubw4YNIz7+0m+B11xzDefOnat1fC2VJH51sCUxnejObXFvhE8Im7N7h3Xn72NC+fq3U9y7aheFJWUNfs245EzCA73xcpH5fUIIIaq2evsxUgx5PDa6d6ONSCnX1t2Jt2eYVqmauXIHCcey6OLr1qjTIloiV1dXEhISLI/HHnusxueWlpY2YGQN71KJ3/r164mMjMTLyzS92N3dnX379lFQUADAd999R2Bg3QsL1TXxu/POO/Hx8eHIkSPs3LmTt99+G4Oh5uU8yspq9jfl1KlT6xRfSyWJXy1l5hWz/+T5Vr+MQ03dOTSEp24K47sDZ5i1cge5RQ335lpQXMbu4+dkGQchhBDVOl9YwksbjxAb4sPI0ACbxBDs587SaTGcOFfAtpTMZj2/r6kLDg62JBTx8fEMGzYMgCeffJKpU6cyePBgpk6dSmpqKiNGjCAiIoKRI0dy7NgxAGbMmMHdd99NTEwMPXv25KuvvgJMiccjjzzCgAEDiIiI4M033wRMd7JGjhxJv379CA8P54svvgAgNTWV0NBQ5syZQ1hYGKNGjbIkXxVVd72VK1dy//1/LAc6duxYNm/ezGOPPUZBQQFRUVFMmTLlovZWrVrFTTfdVGnbDTfcwNdffw3A6tWrmTRpkmVfZmYm48ePJyIigtjYWPbu3Wv5fs2aNYthw4YREhLCK6+8AsBjjz1GUlISUVFRPPLIIwA8//zzlu/L/PnzL4opKSmJbdu28fTTT2NnZ0pFunbtypgxYwAYP348/fv3JywsjKVLl1rO8/Dw4KGHHiIyMpKtW7dWanP16tWEh4fTt29fHn30Ucv2cePGsXr16otiaK3kllUt/ZpkQGtZxqE2pg0KxtPFgYc/3svkZXGsnHkFPu5OVr/OrmPnKCnTxMr8PiGEENVYsjmJzLxi/nZDH5vOSxsQ7MPzt0TwwJoEegRYd/1AW/rXl/s5cPK8Vdvs09GL+TeGXfKY8uSn3OOPP85tt912yXMOHDjAli1bcHV15cYbb2T69OlMnz6dFStWMG/ePD7//HPAlLRt376dpKQkhg8fTmJiIu+++y7e3t7s2LGDoqIiBg8ezKhRo+jUqROfffYZXl5eGAwGYmNjGTduHABHjhxh9erVLFu2jFtvvZW1a9dWGnZZrqrrVWfBggUsXryYhISEKvf/8ssvlqS03O23385TTz3F2LFj2bt3L7NmzeLnn38GYP78+URHR/P555/zww8/MG3aNEvbhw4dYtOmTeTk5NCrVy/uueceFixYwL59+yzHbNiwgSNHjrB9+3a01owbN46ffvqJq666ynL9/fv3ExUVhb29fZUxr1ixAh8fHwoKChgwYAATJkzA19eXvLw8Bg4cyKJFiyodf/LkSR599FF27txJ27ZtGTVqFJ9//jnjx4+nbdu2FBUVkZGRga+v/H0oiV8tbTliwNPFgYhAb1uH0qzcHB2Ep7Mj932wi1uW/Mp7swfSsY115zNsTcrA3k4xQOb3CSGEqMLJrAKWb0nhpqiOhAfZvh+/KSqQwDauLSrxs5XyoZ61MW7cOFxdTX+LbN26lU8/NS0nPXXqVP76179ajrv11luxs7OjR48ehISEcOjQITZs2MDevXv55JNPAMjOzubIkSMEBQXxxBNP8NNPP2FnZ8eJEyc4c+YMYLqrVZ6c9u/fn9TU1Crjqup6dZWZmYmnZ+Xfr4iICFJTU1m9ejU33HBDpX1btmxh7dq1AIwYMYKMjAzL/MAxY8bg7OyMs7MzAQEBltdV0YYNG9iwYQPR0dGA6Q7okSNHKiV+l/PKK6/w2WefAXD8+HGOHDmCr68v9vb2TJgw4aLjd+zYwbBhw/D39wdgypQp/PTTT4wfPx6AgIAATp48KYkfkvjVitaan48YuLKbb6PPCWgJrunTjndnXcGd78Qz8Y1fee/OgXTzt14Vs7jkDMIDvRulOpsQQojmZ9GGw2gND4/qZetQLFpaMbLL3ZlrbA4ODhiNpgJzFy4w7+5esyG2F94ZVkqhtebVV1/luuuuq7Rv5cqVpKens3PnThwdHQkODrZc19nZ2XKcvb19lUM9q7texddR1WupTvl55UMqy40bN46HH36YzZs3k5GRUaO2Loy/qrmRWmsef/xx7rrrrmrbCQsLY8+ePZSVlV1012/z5s1s3LiRrVu34ubmxrBhwyyv1cXFpdq7hJdSWFhoSfBbO8leaiE1I58TWQUyv68eBob4snpuLEWlRm5dspV9J7Kt0m5+cSl70rJkGQchhBBV2n8ym093pzFzcDCdfNxsHY5oJMHBwezcuRPAcierKldeeSVr1qwBTPPihg4datn38ccfYzQaSUpKIjk5mV69enHdddfxxhtvUFJSAsDhw4fJy8sjOzubgIAAHB0d2bRpE0ePHq11zFVdLzg4mISEBIxGI8ePH2f79u2W4x0dHS1xXKhXr14kJydftH3WrFnMnz+f8PDwStuHDh3KqlWrAFMS5ufnZykMUxVPT09ycnIsz6+77jpWrFhBbq5pmZITJ05w9uzZSud069aNmJgY5s+fT/ky3ampqXz99ddkZ2fTtm1b3NzcOHToEHFxcZf6VgFwxRVX8OOPP2IwGCgrK2P16tVcffXVgCkRPX36NMHBwZdtpzWQWyO1sCXRNDl4SA9/G0fSvPUN9Objuwcxdfl2bl8ax1vTY+pdkCU+1Ty/Twq7CCGEuIDWmufWH8Lb1ZF7h3e3dTiiAVw4x2/06NEsWLCA+fPnM3v2bP7xj39YCrtU5dVXX2XmzJk8//zz+Pv78/bbb1v2de7cmSuuuILz58+zZMkSXFxcuPPOO0lNTaVfv35orfH39+fzzz9nypQp3HjjjYSHhxMTE0Pv3r1r/Vqqut7gwYPp2rUrffr0ITQ0lH79+lmOnzt3LhEREfTr18+StJUbM2YMmzdvpnv3yr/3QUFBzJs376JrlxdxiYiIwM3NjXfeeeeSsfr6+jJ48GD69u3L9ddfz/PPP8/BgwcZNGgQYCrI8v777xMQULmQ0ltvvcVDDz1E9+7dcXV1xc/Pj+eff56IiAiWLFlCaGgovXr1IjY29rLfrw4dOrBgwQKGDx+O1poxY8ZYCtrs3LmT2NhYHBwk5QFQ5Zl2cxcTE6Mvt5ZHfd31Xjz7Tpxny6PDZaFSKziVXcDU5ds5lpnPa5P7cW2fdnVua+G3h1j6UzJ75o+SZTaEaAWUUju11jG2jqO5aIw+sinb/PtZZry9g3+M7cPsIV1tHU6Lc/DgQUJDQ20dRoOYMWMGY8eOZeLEic3yeqdOnWLatGl89913VmmvuXnggQcYN24cI0eOtHUoDaKqf3uX6h9lqGcNlZYZ+TUpg6E9/CTps5IO3q58dNcgQtt7cvf7O1m7M63ObW1NziAiyFuSPiGEEJWUGU13+7r4ujE1toutwxGiUXXo0IE5c+ZYCrS0Nn379m2xSV9dyF/JNbT3RDY5haUMlvl9VuXj7sSqObHc9V48D328h+yCEmbV8tPYvKJS9qZlc/fVIQ0UpRBCiObqk53H+f1MDq9N7oeTg3zeLWpn5cqVzf56t956q9XbbC7mzJlj6xCaFHkHrKEtRwwohSR+DcDD2YEVMwYwOqw9T311gP9u+J3aDEHekZpJmVHm9wkhhKgsv7iURRsOE925DTeEt7d1OEIIYVOS+NXQlkQDYR29GmThcQHODvYsnhzNrTFBvPJDIvPX7cdorFnyF5eciaO9on+Xtg0cpRBCiObkrZ9TOJtTxN9uCJVpGkKIVk+GetZAXlEpu4+dY/YQGUrYkBzs7fjPhAjauDmx9KdksvJLWHRrJI6XWTNxa3IGkUFtcHOSX2chhBAmZ3MKWfJjEqPD2re4tfKEEKIu5I5fDWxLyaCkTMv6fY1AKcUTN4Ty6OjerNtzkjnvxlNQXFbt8TmFJew7kS3r9wkhWgyl1Gil1O9KqUSl1GNV7J+hlEpXSiWYH3faIs6m7qWNRyguNfLo9bUvpy+EEC2RzRM/pVQnpdQmpdQBpdR+pdQDF+x/SCmllVI2y7p+PmLA2cGOmGAZSthY7hnWjWdvDufHw+lMXb6N7IKqFyaNTz0n8/uEEC2GUsoeeA24HugDTFJK9ani0A+11lHmx1uNGmQzkHg2hw93HGfKwM509XO3dTiiEbzyyiuEhoYyZcoU1q1bx4IFC+rcloeHhxUjq79hw4Zh7eVYjh8/zvDhw+nTpw9hYWG8/PLLVR63efNmvL29iYqKIioqiqeeesqyLzg4mPDwcKKiooiJuXj1gEWLFqGUwmAwVNq+Y8cOHBwc+OSTTyzb7O3tLdcYN27cRW3Nmzev0s/l2LFjDB8+nOjoaCIiIli/fj0AJSUlTJ8+nfDwcEJDQ3nuuecqtVNWVkZ0dDRjx461bJs9ezaRkZFEREQwceJEy+LzR48eZeTIkURERDBs2DDS0v6oPj969GjatGlTqR2AxYsX071794te96FDhxg0aBDOzs688MILlc55+eWX6du3L2FhYbz00kuW7Y888gi9e/cmIiKCm2++maysrIu+L7Vl88QPKAUe0lr3AWKB+8o7OaVUJ2AUcMyG8fFLooEruvrg4mhvyzBanckDO7N4Uj/2pGVx25tbOZtTeNExcckZONnbyfw+IURLcQWQqLVO1loXA2uAm2wcU7Oz4JtDuDnaM29kD1uHIhrJ66+/znfffceqVasYN24cjz120c1yUYGDgwOLFi3iwIEDxMXF8dprr3HgwIEqjx06dCgJCQkkJCTwz3/+s9K+TZs2kZCQcFFievz4cTZs2EDnzp0rbS8rK+PRRx9l1KhRlba7urparrFu3bpK++Lj4zl37lylbU8//TS33noru3fvZs2aNdx7770AfPzxxxQVFfHbb7+xc+dO3nzzTVJTUy3nvfzyyxete/fiiy+yZ88e9u7dS+fOnVm8eDEADz/8MNOmTWPv3r3885//5PHHH7ec88gjj/Dee+9d9L0aPHgwGzdupEuXykvH+Pj48Morr/Dwww9X2r5v3z6WLVvG9u3b2bNnD1999RWJiYkAXHvttezbt4+9e/fSs2fPi5LYurB54qe1PqW13mX+Ogc4CASad78I/BWw2SrzZ84XcvhMrgzztJExER1YPn0ARzPyuWXJVo5n5lfavzU5g6jObSQpF0K0FIHA8QrP0/ijT6xoglJqr1LqE/OHpMLsox3H2XjwLPcM74avh7OtwxGN4O677yY5OZnrr7+eF198kZUrV3L//fcDpgXR582bx5VXXklISIjlLlNubi4jR46kX79+hIeH88UXX1zyGqmpqfTu3ZsZM2bQs2dPpkyZwsaNGxk8eDA9evRg+/btlnZnzpxJeHg4ERERrF27tlI73377Lbfccovl+ebNmy13je655x5iYmIICwtj/vz5VcZR8a7XJ598wowZMwBIT09nwoQJDBgwgAEDBvDLL79c8vV06NCBfv36AeDp6UloaCgnTpy45Dm18ec//5mFCxdeVFTp1VdfZcKECQQEBNSonbKyMh555BEWLlxYabtSyrI2YXZ2Nh07drRsz8vLo7S0lIKCApycnPDy8gIgLS2Nr7/+mjvvrDw6vny/1pqCggJLzAcOHGDEiBEADB8+vNLvyMiRI/H09Lwo3ujoaIKDgy/aHhAQwIABA3B0dKy0/eDBgwwcOBA3NzccHBy4+uqr+fTTTwEYNWoUDg6m+hWxsbGV7jjWVZOqhqGUCgaigW1KqZuAE1rrPdVV4lJKzQXmAhd9omAtW46YbtPKMg62c1VPf96/cyCzVu5gwhu/8t7sgfRq78l58/y++0fIJ7pCiFblS2C11rpIKXUX8A4w4sKDGqOPbGo+2ZnGo5/uZWgPP2bXck1YYR0PfvsgCacTrNpmVPsoXhr9UrX7lyxZwrfffsumTZvw8/O7aC28U6dOsWXLFg4dOsS4ceOYOHEiLi4ufPbZZ3h5eWEwGIiNjWXcuHGXrP6amJjIxx9/zIoVKxgwYAAffPABW7ZsYd26dTz77LN8/vnn/Pvf/8bb25vffvsN4KI7Vddccw1z584lLy8Pd3d3PvzwQ26//XYAnnnmGXx8fCgrK2PkyJHs3buXiIiIGn2PHnjgAf785z8zZMgQjh07xnXXXcfBgweJj49nyZIlvPVW9SPCU1NT2b17NwMHDqxy/9atW4mMjKRjx4688MILhIWFAaYka9SoUSiluOuuu5g7dy4AX3zxBYGBgURGRlZq58SJE3z22Wds2rSJHTt2VNpXWFhITEwMDg4OPPbYY4wfPx4wDZ0cN24cHTp0qHT8k08+yahRo3j11VfJy8tj48aNAEycOJEvvviCDh06kJ+fz4svvoiPj6m404MPPsjChQvJycm56DXOnDmT9evX06dPHxYtWgRAZGQkn376KQ888ACfffYZOTk5ZGRk4OtrvelFffv25W9/+xsZGRm4urqyfv36KofNrlixgttuu63e12syiZ9SygNYCzyIafjnE5iGeVZLa70UWAoQExPTIHcFtyQa8HV3ok8Hr4ZoXtRQ/y5t+eiuQUxdvo1b39zK2zMHcC6vGKOGQTK/TwjRcpwAKt7BCzJvs9BaZ1R4+hZQ+aPwP45r8D6yKflsdxqPfLKHwd38WDYtBmcHGQkiTMaPH4+dnR19+vThzJkzgOnuzhNPPMFPP/2EnZ0dJ06c4MyZM7RvX/16j127diU8PByAsLAwRo4ciVKK8PBwy3DCjRs3smbNGss5bdtWnori4ODA6NGj+fLLL5k4cSJff/215W7WRx99xNKlSyktLeXUqVMcOHCgxonfxo0bKw3VPH/+PLm5ucTExFwy6cvNzWXChAm89NJLljtfFfXr14+jR4/i4eHB+vXrGT9+PEeOHAFgy5YtBAYGcvbsWa699lp69+5NTEwMzz77LBs2bLiorQcffJD//Oc/2NldPODw6NGjBAYGkpyczIgRIwgPD8fV1ZWPP/6YzZs3X3T86tWrmTFjBg899BBbt25l6tSp7Nu3j+3bt2Nvb8/Jkyc5d+4cQ4cO5ZprruHAgQMEBATQv3//Ktt7++23KSsr409/+hMffvghM2fO5IUXXuD+++9n5cqVXHXVVQQGBmJvb933ldDQUMvQV3d3d6Kioi66xjPPPIODgwNTpkyp9/WaROKnlHLElPSt0lp/qpQKB7oC5Xf7goBdSqkrtNanGysurTVbEg1c2d0POztZ/8fWerX3ZO09V3LH8m1MWbaNiCBvnBzsiO7cxtahCSGEtewAeiilumJK+G4HJlc8QCnVQWt9yvx0HKYpEq3auj0neeijPcR29WXZtBgZ/m9Dl7ozZyvOzn8M+dXa9BnIqlWrSE9PZ+fOnTg6OhIcHExh4cW1BKprx87OzvLczs6O0tLSGsdz++23s3jxYnx8fIiJicHT05OUlBReeOEFduzYQdu2bZkxY0aV8VS8I1lxv9FoJC4uDhcXlxrHUVJSwoQJE5gyZQr/93//V+UxFZPBG264gXvvvReDwYCfnx+BgaZR6AEBAdx8881s376dtm3bkpKSYrnbl5aWRr9+/di+fTvx8fGWu5sGg4H169fj4ODA+PHjLW2FhIQwbNgwdu/ejaurK4mJiXTv3h2A/Px8unfvTmJiIsuXL+fbb78FYNCgQRQWFmIwGPjggw8YPXo0jo6OBAQEMHjwYOLj49m9ezfr1q1j/fr1FBYWcv78ee644w7ef/99y+uzt7fn9ttvZ+HChcycOZOOHTtahl3m5uaydu1a2rSx/t+cs2fPZvbs2QA88cQTBAUFWfatXLmSr776iu+//94qa5HafI6fMr2K5cBBrfV/AbTWv2mtA7TWwVrrYExzHPo1ZtIHcPhMLuk5RQyVYZ5NRicfNz6+exBdfN3YlpJJP5nfJ4RoQbTWpcD9wP8wJXQfaa33K6WeUkqVl7qbZ66CvQeYB8ywTbRNw9d7T/HnDxOICfZh+YwYXJ2kTxCXl52dTUBAAI6OjmzatImjR49apd1rr72W1157zfL8wqGeAFdffTW7du1i2bJllkTo/PnzuLu74+3tzZkzZ/jmm2+qbL9du3YcPHgQo9HIZ599ZtlePuyxXELCpYfbaq2ZPXs2oaGh/OUvf6n2uNOnT1uS5e3bt2M0GvH19SUvL88yZDIvL48NGzbQt29fwsPDOXv2LKmpqa36UOsAACAASURBVKSmphIUFMSuXbto3749KSkplu0TJ07k9ddfZ/z48Zw7d46ioiLAlBD+8ssv9OnThzFjxnD69GnLOW5ubpbCJ507d+b7778HTPPkCgsL8ff3p3Pnzvzwww+WuOLi4ujduzfPPfccaWlppKamsmbNGkaMGMH777+P1trSptaadevW0bt3b0ssRqMRgOeee45Zs2Zd8ntaV2fPngVMlUo//fRTJk82fdb37bffsnDhQtatW4ebm5tVrmXzxA8YDEwFRlRYk+gGWwcF8PORdAAG95DErykJ8HThw7sGMT6qIzOulDkcQoiWRWu9XmvdU2vdTWv9jHnbP7XW68xfP661DtNaR2qth2utD9k2Ytv5dt8p5q3ZTXSnNrw9YwBuTk1iIJNoBqZMmUJ8fDzh4eG8++67lj/26+vvf/87586do2/fvkRGRrJp06aLjrG3t2fs2LF88803lsIukZGRREdH07t3byZPnszgwYOrbH/BggWMHTuWK6+8stK8t1deeYX4+HgiIiLo06cPS5YsAUwVMS8sZgLwyy+/8N577/HDDz9YllEoXxJhyZIllvM/+eQTy2uZN28ea9asQSnFmTNnGDJkCJGRkVxxxRWMGTOG0aNH1+l7dvDgQWJiYoiMjGT48OE89thj9OlT1So2f1i0aBHLli0jMjKSSZMmsXLlSpRS3HfffeTm5hIWFsaAAQOYOXPmJYfLaq0tyz+Eh4dz6tQpS+XSzZs306tXL3r27MmZM2f429/+Zjlv6NCh3HLLLXz//fcEBQXxv//9DzD9HIKCgkhLSyMiIsLyvT99+jRBQUH897//5emnnyYoKMhSnGbChAn06dOHG2+8kddee81yV/H+++8nJyeHa6+9lqioKO6+++46fX8rUuVZfHMXExOjrb3GyYy3t3MsI58fHh5m1XaFEELUj1Jqp9b64hnwokoN0Ufa2ob9p7l31S4igrx5d/ZAPJwl6bOVgwcPXlQiXwjR8Kr6t3ep/rEp3PFrkopKy9iWnMkQudsnhBBCNCnfHzzDfR/sIizQm5WzrpCkTwghakASv2rsPpZFQUmZrN8nhBBCNCGbfj/LPe/vIrSDF+/OugIvF8fLnySEEEISv+psOWLA3k4R202WChBCCCGagp8Op3PXezvp0c6D92YNxNtVkj4hhKgpSfyq8XOigcggb/kkUQghhGgCfkk0MOfdeLr5e/D+7IF4u0n/LIQQtSGJXxWy80v4LS2LIT38bR2KEEII0eptTcpg9js76Ornzqo7B9LW3cnWIQkhRLMjiV8VtiYbMGoYKoVdhBBCCJvanpLJrJU76NTWjffvHIiPJH1CCFEnkvhV4ecjBtyd7Inq1MbWoQghhBCtVnxqJjPe3k7HNi58MCcWPw9nW4ckmqCMjAzLWnTt27cnMDDQ8ry4uNgmMQ0bNgxrLKGSkJDAoEGDCAsLIyIigg8//LDK41auXIm/v7/ldb/11luXPf+HH36gX79+9O3bl+nTp1NaWgrAqlWriIiIIDw8nCuvvJI9e/ZYznnxxRcJCwujb9++TJo0icLCQgBmzJhB165dLdcvX0D+iy++ICIigqioKGJiYtiyZYulLXt7e8vx48aNu+g1zZs3Dw8Pj4u2r1279v/Zu/O4qqr18eOfh0FRNERRUzDBHAEBERX1OuWcQ06V5k3RbC612epmt+7tm6Y3Ky37NThkpqamecsszdk0AVNzypEUMxMcUJF5/f44h30ZDoMGHrDn/Xqdl+fsvfbaz94Iz1l7r7UXImKd37S0NEaNGkXz5s0JDQ1l/fr1VtnY2FiaN29Ow4YNGTt2rDUZ/c6dO4mMjLTi2r59O2Cbu8/Ly8uK69VXX7XqevvttwkODiYoKIi33norV0zTp0+nadOmBAUF8eyzzzr8GZUJxpgb4tWyZUtTUjq+sdaMnr29xOpTSilVsoAYUwZyT3l5lWSOvF5i4s6awJe+MV2mrDOnL1xxdjiqEPv27XN2CJaXX37ZTJkyJdey9PT06x5Hp06dTHR09J+u55dffjEHDx40xhhz8uRJc/PNN5tz587lKzd79mzz6KOPFnv7zMxM4+fnZ3755RdjjDEvvfSS+eijj4wxxmzZssWcPXvWGGPMypUrTevWrY0xxsTHxxt/f3+TnJxsjDHmzjvvNLNnzzbGGDNy5EizePHifPu/ePGiycrKMsYYs2vXLtOkSRNrnaenZ4HHHR0dbf7+97/nK5OUlGQ6dOhg2rRpY53fGTNmmKioKGOMMadPnzbh4eEmMzPTGGNMq1atzNatW01WVpbp1auXWblypTHGmO7du1vvv/76a9OpUydjjDHr1q0zffr0yRfPzz//bIKCgszly5dNenq66dq1qzl06JAxxpi1a9earl27mpSUFCuG68XR715h+VHv+OVx4mwyvyYm6/x9SimllJPsPHGeqFnbqVm1Ip/dH0mtmzycHZIqZ6KionjooYdo06YNzz77LP/85z+ZOnWqtT44OJi4uDgAPv30U1q3bk1YWBgPPvggmZmZuepatWoVd955p/V5/fr19O3bF4CHH36YiIgIgoKCePnllx3GkvOu1ZIlS4iKigLgzJkzDB48mFatWtGqVSu2bNmSb9vGjRvTqFEjAOrWrUutWrU4c+ZMsc9DQdsnJiZSoUIFGjduDED37t1ZunQpAO3atcPb2xuAyMhI4uPjrfoyMjK4cuUKGRkZJCcnU7du3UL3X6VKFUQEgMuXL1vvC5OZmckzzzzDG2+8kW/dSy+9xHPPPYeHx//+Juzbt4/bbrsNgFq1alGtWjViYmI4deoUSUlJREZGIiKMGDGC5cuXAyAiJCUlAXDhwoUij2P//v20adOGypUr4+bmRqdOnfjiiy8AmDlzJhMmTKBixYpWDGWVNvzy2Hw4AdDxfUoppZQz/Bx/gXs//hFvzwoseCCSm7200VeujB8PnTuX7Gv8+GsKJT4+nh9++IE333yzwDL79+9n0aJFbNmyhZ07d+Lq6sr8+fNzlenWrRs//vgjly9fBmDRokUMHToUgNdee42YmBh2797Nhg0b2L17d7HjGzduHE888QTR0dEsXbqUMWPGABATE2O9z2n79u2kpaVx6623Oqxv6dKlhISEMGTIEE6cOFHo9j4+PmRkZFjdJZcsWeJwm48//pjevXsD4Ovry9NPP80tt9xCnTp18PLyokePHlbZF198kZCQEJ544glSU1Ot5cuWLaNp06b06dOHWbNmWctTUlKIiIggMjLSapABzJgxg/79+1OnTp1csezYsYMTJ07Qp0+fXMtDQ0NZsWIFGRkZHDt2jNjYWE6cOMHJkyfx8/Ozyvn5+XHy5EkA3nrrLZ555hnq1avH008/zeuvv26V27p1K6GhofTu3Zu9e/cCtgsFmzZtIjExkeTkZFauXGmdr4MHD7Jp0ybatGlDp06diI6OdvjzKQu04ZfH5kMJ3HyTB7fWzN+nWCmllFKlZ8/JC/z94x/xquTOggciqeNVydkhqXLszjvvxNXVtdAy33//PbGxsbRq1YqwsDC+//57jh49mquMm5sbvXr14r///S8ZGRl8/fXX3HHHHQB8/vnnhIeH06JFC/bu3cu+ffuKHd+aNWt47LHHrDFuSUlJXLp0iYiICGuMXrZTp05x7733Mnv2bFxc8n9979evH3FxcezevZvu3bszcuTIQrcXERYuXMgTTzxB69atqVq1ar5ztW7dOj7++GMmT54MwLlz5/jyyy85duwYv/32G5cvX+bTTz8F4PXXX+fAgQNER0dz9uxZaxuAgQMHcuDAAZYvX85LL71kLf/111+JiYnhs88+Y/z48Rw5coTffvuNxYsX8/jjj+eKJSsriyeffJL//Oc/+Y599OjR+Pn5ERERwfjx42nXrl2RP/eZM2cybdo0Tpw4wbRp07jvvvsACA8P59dff2XXrl08/vjjDBgwAIBmzZrx3HPP0aNHD3r16kVYWJi1j4yMDM6ePcu2bduYMmUKd911F7Yel2WPm7MDKEsyswxbjiTQtWntYt2KVkoppVTJ2PdbEn//+EeqVHRjwf2R+FbTRl+5lOehF87k6elpvXdzcyMrK8v6nP1QEmMMI0eOzHXHx5GhQ4cyY8YMqlevTkREBFWrVuXYsWNMnTqV6OhovL29iYqKsurNKed3ypzrs7Ky2LZtW65ui44kJSXRp08fXnvtNSIjIx2WqVGjhvV+zJgxuR4wUtD2bdu2ZdOmTQB89913HDx40Fq3e/duxowZwzfffGPVvWbNGgICAqhZ0zbd2aBBg/jhhx/4+9//bt2dq1ixIqNGjcrVrTZbx44dOXr0KAkJCfj4+ODr6wtAgwYN6Ny5Mz/99BOVKlXi8OHDNGzYEIDk5GQaNmxIbGwse/bsoXPnzgD8/vvv9O/fnxUrVhAREcG0adOs/bRr147GjRvj7e2dq5tqfHy8tc+5c+fy9ttvA7YLBNl3WG+66Sar/O23384jjzxixXvfffdZDcQXXnjBupvo5+fHoEGDEBFat26Ni4sLCQkJ1nkqS/SOXw57f7vA+eR07eaplFLKaUSkl4j8IiKHRWSCg/UVRWSRff2PIuJ//aMsWb/8fpG/f/wjldxd+ez+NtSrXtnZIakbjL+/Pzt27ABsXQaPHTsGQNeuXVmyZAl//PEHAGfPnuXXX3/Nt32nTp3YsWMHH374odXNMykpCU9PT7y8vDh9+jTffPONw33Xrl2b/fv3k5WVxbJly6zlPXr0YPr06dbn7Cdh5pSWlsbAgQMZMWIEQ4YMKfD4Tp06Zb1fsWIFzZo1K3L77GNOTU1l8uTJPPTQQwAcP36cQYMGMW/ePGsMIMAtt9zCtm3bSE5OxhjD999/b+0ne//GGJYvX05wcDAAhw8ftu5+7dixg9TUVGrUqMG5c+es7qAJCQls2bKFwMBA+vTpw++//05cXBxxcXFUrlyZw4cP4+XlRUJCgrU8MjLSavQlJydb3XBXr16Nm5sbgYGB1KlTh5tuuolt27ZhjOGTTz6x7tTWrVuXDRs2ALanm2aPg/z999+teLdv305WVpbV8M0+X8ePH+eLL77gnnvuAWDAgAGsW7cOsHX7TEtLw8enbLYl9I5fDpsO2cb3tW9YNn9YSimlbmwi4gq8C3QH4oFoEVlhjMnZf+w+4JwxpqGIDAUmA3df/2hLxqHTF7nnw224uwoL7o+kfg3PojdS6ioNHjyYTz75hKCgINq0aWM1aAIDA/n3v/9Njx49yMrKwt3dnXfffZf69evn2t7V1ZW+ffsyZ84c5s6dC9jGlrVo0YKmTZtSr1492rdv73DfkyZNom/fvtSsWZOIiAguXboEwDvvvMOjjz5KSEgIGRkZdOzYkffff5+YmBjef/99PvroIz7//HM2btxIYmIic+bMAWxTN4SFhTFx4kQiIiLo378/77zzDitWrMDNzY3q1atbZQvbfsqUKXz11VdkZWXx8MMPWw9IefXVV0lMTOSRRx4BbHdLY2JiaNOmDUOGDCE8PBw3NzdatGjBAw88AMDw4cM5c+YMxhjCwsJ4//33Adu4w08++QR3d3cqVarEokWLEBH279/Pgw8+iIuLC1lZWUyYMIHAwMBr+tn+8ccf9OzZExcXF3x9fZk3b5617r333iMqKoorV67Qu3dva7zihx9+yLhx48jIyMDDw4MPPvgAsI11nDlzJm5ublSqVImFCxdad2wHDx5MYmKi9X+kWjXbtG+jR49m9OjRBAcHU6FCBebOnVtmew6KM/ugikg94BOgNmCAD4wxb4vIFKAfkAYcAUYZY84XVldERIT5s/Ol3PPhNs5eTmPV+I5/qh6llFKlS0RijTERzo6jpIlIW+Cfxpie9s/PAxhjXs9R5lt7ma0i4gb8DtQ0hST0P5sjLySncy655OdDS7ycyoPzdiACix6IpIGOry+X9u/fb935UUpdP45+9wrLj86+45cBPGWM2SEiVYFYEVkNrAaeN8ZkiMhk4HngudIM5EpaJjFx5xjRtn7RhZVSSqnS4QvkfLRePNCmoDL2PHkBqAEklFZQC6KPM+mbA6VSt0+Viiy4Xxt9SilV2pza8DPGnAJO2d9fFJH9gK8x5rscxbYBBXdqLiEuLvDOsDACfDTxKKWUKv9E5AHgAbCNzfkzbmtai9o3VSyJsPKJbFBDn96plFLXgbPv+Fnsg9NbAD/mWTUaWFTANiWW1Cq6udIruE7RBZVSSqnScxKol+Ozn32ZozLx9q6eXkBi3oqMMR8AH4Ctq+efCapx7ao0rl31z1ShlFLKycrEUz1FpAqwFBhvjEnKsfxFbN1B5zvazhjzgTEmwhgTURYfmaqUUkpdpWigkYgEiEgFYCiwIk+ZFUD2JF1DgLWFje9T6nrQ/4JKXV/X8jvn9IafiLhja/TNN8Z8kWN5FNAXGK4JTSml1F+BMSYDeAz4FtgPfG6M2Ssir4pIf3uxj4EaInIYeBLIN+WDUteTh4cHiYmJ2vhT6joxxpCYmFjkHJB5ObWrp9iedfoxsN8Y82aO5b2AZ4FOxphkZ8WnlFJKXW/GmJXAyjzLJuZ4nwLceb3jUqogfn5+xMfHc+bMGWeHotRfhoeHhzWJfHE5e4xfe+Be4GcRyZ618gXgHaAisNo+D8Y2Y8xDzglRKaWUUkoVxN3dnYCAAGeHoZQqgrOf6rkZcDTD4UoHy5RSSimllFJKXQOnj/FTSimllFJKKVW6tOGnlFJKKaWUUjc4uVGewCQiZ4BfS6AqHyChBOq5HjTW0lGeYoXyFa/GWjrKU6xQMvHWN8boPD7FVEI58q/4/+x60VhLh8ZaespTvH+1WAvMjzdMw6+kiEiMMSbC2XEUh8ZaOspTrFC+4tVYS0d5ihXKX7zKprz93MpTvBpr6dBYS095ildj/R/t6qmUUkoppZRSNzht+CmllFJKKaXUDU4bfvl94OwAroLGWjrKU6xQvuLVWEtHeYoVyl+8yqa8/dzKU7waa+nQWEtPeYpXY7XTMX5KKaWUUkopdYPTO35KKaWUUkopdYPThp+diPQSkV9E5LCITHB2PIURkXoisk5E9onIXhEZ5+yYiiIiriLyk4h85exYCiMi1URkiYgcEJH9ItLW2TEVRESesP/894jIAhHxcHZMOYnILBH5Q0T25FhWXURWi8gh+7/ezowxWwGxTrH/P9gtIstEpJozY8zmKNYc654SESMiPs6ILa+CYhWRx+3ndq+IvOGs+FTxlZccqfmxdGmOLBmaH0uP5sjCacMP2x9d4F2gNxAIDBORQOdGVagM4CljTCAQCTxaxuMFGAfsd3YQxfA2sMoY0xQIpYzGLCK+wFggwhgTDLgCQ50bVT5zgF55lk0AvjfGNAK+t38uC+aQP9bVQLAxJgQ4CDx/vYMqwBzyx4qI1AN6AMevd0CFmEOeWEWkC3AHEGqMCQKmOiEudRXKWY7U/Fi6NEeWjDlofiwtc9AcWSBt+Nm0Bg4bY44aY9KAhdhOeplkjDlljNlhf38R2x9eX+dGVTAR8QP6AB85O5bCiIgX0BH4GMAYk2aMOe/cqArlBlQSETegMvCbk+PJxRizETibZ/EdwFz7+7nAgOsaVAEcxWqM+c4Yk2H/uA3wu+6BOVDAeQWYBjwLlJmB2wXE+jAwyRiTai/zx3UPTF2tcpMjNT+WHs2RJUfzY+nRHFk4bfjZ+AIncnyOpwwnipxExB9oAfzo3EgK9Ra2X7YsZwdShADgDDDb3u3mIxHxdHZQjhhjTmK7CnQcOAVcMMZ859yoiqW2MeaU/f3vQG1nBnMVRgPfODuIgojIHcBJY8wuZ8dSDI2BDiLyo4hsEJFWzg5IFalc5kjNjyVOc2Tp0vxYSjRH/o82/MoxEakCLAXGG2OSnB2PIyLSF/jDGBPr7FiKwQ0IB2YaY1oAlyk7XS1ysff9vwNbIq4LeIrI350b1dUxtkcKl5krbwURkRexdR+b7+xYHBGRysALwERnx1JMbkB1bN3wngE+FxFxbkjqRqP5sVRojrxOND+WHM2RuWnDz+YkUC/HZz/7sjJLRNyxJbX5xpgvnB1PIdoD/UUkDlv3oNtE5FPnhlSgeCDeGJN9dXgJtiRXFnUDjhljzhhj0oEvgHZOjqk4TotIHQD7v2W6m5+IRAF9geGm7M59cyu2Lze77L9nfsAOEbnZqVEVLB74wthsx3ano0wMtFcFKlc5UvNjqdEcWbo0P5YOzZE5aMPPJhpoJCIBIlIB2wDgFU6OqUD2lv/HwH5jzJvOjqcwxpjnjTF+xhh/bOd1rTGmTF51M8b8DpwQkSb2RV2BfU4MqTDHgUgRqWz//9CVMjrIPo8VwEj7+5HAl06MpVAi0gtbF6z+xphkZ8dTEGPMz8aYWsYYf/vvWTwQbv//XBYtB7oAiEhjoAKQ4NSIVFHKTY7U/Fh6NEeWOs2PpUBzZG7a8APsA1QfA77F9ofhc2PMXudGVaj2wL3Yrg7utL9ud3ZQN4jHgfkishsIA/7PyfE4ZL/iugTYAfyM7Xf5A6cGlYeILAC2Ak1EJF5E7gMmAd1F5BC2K7KTnBljtgJinQFUBVbbf8fed2qQdgXEWiYVEOssoIH98dULgZFl/GrxX145y5GaH0uX5sgSoPmx9GiOLGKfmm+VUkoppZRS6samd/yUUkoppZRS6ganDT+llFJKKaWUusFpw08ppZRSSimlbnDa8FNKKaWUUkqpG5w2/JRSSimllFLqBqcNP1WmiYgRkf/k+Py0iPyzhOqeIyJDSqKuIvZzp4jsF5F1JVDXeBGpnOPzpT9RVx0R+erPxnQ9iEhNEflRRH4SkQ551s0XkV9EZI+IzLJP3oyI9BWRV50TsVJKlS7Nj/nq0vyo+VEVQRt+qqxLBQaJiI+zA8lJRNyuovh9wP3GmC4lsOvxQOUiSxXPk8CHJVTXNRER12IW7Qr8bIxpYYzZlGfdfKAp0ByoBIyxL/8a6Jfzi4BSSt1AND/mpvlR86Mqgjb8VFmXgW3S1Sfyrsh7RTL76p6IdBaRDSLypYgcFZFJIjJcRLaLyM8icmuOarqJSIyIHBSRvvbtXUVkiohEi8huEXkwR72bRGQFsM9BPMPs9e8Rkcn2ZROBvwEfi8iUPOU7i8hGEfnafkXufRFxsa+baY9rr4i8Yl82FqgLrMt5dVREXhORXSKyTURq25fdaY9jl4hsLODcDgZW2ctH2c/XehE5JCIv56j/SXtde0RkvH3ZM/Z4EJFpIrLW/v42EZlvf99DRLaKyA4RWSwiVezL40RksojsAO7Mc078RWSt/bx/LyK3iEgY8AZwh9gmiq2UcxtjzEpjB2wH/OzLDbAe6FvA8SulVHmm+VHzo+ZHdXWMMfrSV5l9AZeAm4A4wAt4Gvinfd0cYEjOsvZ/OwPngTpAReAk8Ip93TjgrRzbr8J2AaQREA94AA8A/7CXqQjEAAH2ei8DAQ7irAscB2oCbsBaYIB93XogwsE2nYEUoAHgCqzOPh6guv1fV/v2IfbPcYBPjjoM0M/+/o0ccf8M+NrfV3Ow7wAgNsfnKOAUUAPbVcE9QATQ0l6XJ1AF2Au0ACKBxfZtN2FLKO7Ay8CDgA+wEfC0l3kOmJjjGJ4t4Of9X2Ck/f1oYHmO+GYU8X/FHdgBdMixbDgw3dn/j/WlL33pq6RfaH7U/Gg0P+rr6l56x0+VecaYJOATYOxVbBZtjDlljEkFjgDf2Zf/DPjnKPe5MSbLGHMIOIqtS0QPYISI7AR+xPbHvpG9/HZjzDEH+2sFrDfGnDHGZGDrXtGxGHFuN8YcNcZkAguwXf0EuMt+xe8nIAgILGD7NCB7HEJsjmPbAswRkfuxJce86gBn8ixbbYxJNMZcAb6wx/I3YJkx5rIx5pJ9eQf7vlqKyE3YuhttxZYIO2BLdJH2mLfYz+NIoH6OfS0q4HjaAp/Z38/jf+ejON4DNprcXV3+wPalQymlbjiaHzU/FpPmRwXYrrwoVR68he1q1ewcyzKwd1e2dwGpkGNdao73WTk+Z5H7/73Jsx8DCPC4MebbnCtEpDO2K5olKd/+RSQA25XbVsaYcyIyB9uVVkfSjTHZdWRiPzZjzEMi0gboA8SKSEtjTGKO7a44qNPRuXActDHpInIM25XGH4DdQBegIbAfuBVbohxWQBUleh7tXW9qYruampMHtmNVSqkbleZHxzQ/ovlR5aZ3/FS5YIw5C3yObSB4tjhsXS0A+mPrynC17hQRF/u4hgbAL8C3wMPyv6dfNRYRzyLq2Q50EhEfsQ3IHgZsKMb+W4tIgD0x3w1sxtZ15zJwwT4moXeO8heBqkVVKiK3GmN+NMZMxHblsl6eIgfJfWUXoLuIVLePERiA7aroJmCAiFS2n4OB9mXY/30aW5eVTcBDwE/2RLsNaC8iDe3xeIpI46JPBz8AQ+3vh+fYV2HHOgboCQwzxmTlWd0YW7ccpZS6IWl+tGh+zH+smh9VLtrwU+XJf7D1jc/2IbZksgtbF4hruUp2HFtS+gZ4yBiTAnyEbXD6DhHZA/w/irg7bow5BUwA1gG7sI0P+LIY+48GZmC7CngMW7eRXdi6sBzA1q1jS47yHwCrpOhHX0/JHkiPLVnsyhPvZeBIduKx2w4sxXZ1cqkxJsYYswPbWI/t2Lr1fGSM+clefhO2LjFbjTGnsY3H2GSv/wy2q50LRGQ3tq4uTYtxPh4HRtm3uRfbmJOivA/UBrbaB7dPzLGuC7anlyml1I1M86PmR0c0P6pc5H93wZVS15O9a8zTxhinPFVLRAYCLY0x/xCRKGwD7B9zRiylwX41+DNjTFdnx6KUUqr4ND+WLs2Pf106xk+pvyhjzDIRqeHsOErRLcBTzg5CKaVU+aL5Ud2o9I6fUkoppZRSSt3gdIyfUkoppZRSSt3gtOGnlFJKKaWUUjc4bfgppZRSSiml1A1OG35KKaWUUkopdYPTpJBVngAAIABJREFUhp9SSimllFJK3eC04aeUUkoppZRSNzht+CmllFJKKaXUDe6GmcDdx8fH+Pv7OzsMpZRS10FsbGyCMaams+MoLzRHKqXUX0Nh+fGGafj5+/sTExPj7DCUUkpdByLyq7NjKE80Ryql1F9DYflRu3oqpZRSSiml1A1OG35KKaWUUkopdYPThp9SSimllFJK3eBumDF+SpWm9PR04uPjSUlJcXYoSv2leHh44Ofnh7u7u7NDUUo5oPlRKee4lvyoDT+liiE+Pp6qVavi7++PiDg7HKX+EowxJCYmEh8fT0BAgLPDUUo5oPlRqevvWvNjqXb1FJFeIvKLiBwWkQkO1tcXke9FZLeIrBcRvxzrMkVkp/21ojTjVKooKSkp1KhRQ5OaUteRiFCjRg29k6BUGab5Uanr71rzY6k1/ETEFXgX6A0EAsNEJDBPsanAJ8aYEOBV4PUc664YY8Lsr/6lFae1s7RMnl2yi2/3/l7au1LllCY1pa4//b0rG9bsO82jn+0gK8s4OxRVBunvqVLX37X83pXmHb/WwGFjzFFjTBqwELgjT5lAYK39/ToH66+bim4u/HfXKbYdTXRWCEoppVSZFH8uma93nyLhcqqzQ1FKKXWNSrPh5wucyPE53r4sp13AIPv7gUBVEalh/+whIjEisk1EBjjagYg8YC8Tc+bMmT8VrIuLEODjybGEy3+qHqVKi6urK2FhYYSGhhIeHs4PP/wAwG+//caQIUOcHF3hqlSpAkBcXBzBwcEOy5w6dYq+ffsCsH79ekSEjz76yFq/c+dORISpU6deUww7d+5k5cqVV73dwYMHuf3222nUqBHh4eHcddddnD59+qrqyD7+gpw5c4ZevXpddWxKXS++3pUB+O28drtVZU95zo/nz5/nvffeK3D9lStX6NSpE5mZmcTFxSEi/OMf/7DWJyQk4O7uzmOPPXZN+4+Li+Ozzz676u1+//13hg4dyq233krLli25/fbbOXjw4FXV4e/vT0JCQoHr09LS6NixIxkZGVcdn3LM2dM5PA10EpGfgE7ASSDTvq6+MSYCuAd4S0RuzbuxMeYDY0yEMSaiZs2afzqYgJqeHD2jDT9VNlWqVImdO3eya9cuXn/9dZ5//nkA6taty5IlS0pkH5mZmUUXKiVvvvkm999/v/U5ODiYzz//3Pq8YMECQkNDr7n+a2n4paSk0KdPHx5++GEOHTrEjh07eOSRRyjuhabiJquaNWtSp04dtmzZclXxKXW9+FarBMDJc1ecHIlS+ZXn/FhUw2/WrFkMGjQIV1dXAAICAvj666+t9YsXLyYoKOia938tDT9jDAMHDqRz584cOXKE2NhYXn/99WJfFDXGkJWVVWS5ChUq0LVrVxYtWnRV8amClWbD7yRQL8dnP/syizHmN2PMIGNMC+BF+7Lz9n9P2v89CqwHWpRirADc6uNJ/LlkUjOc9+VXqeJISkrC29sbyH0Xbc6cOQwaNIhevXrRqFEjnn32WWubhx9+mIiICIKCgnj55Zet5f7+/jz33HOEh4czadIkwsPDrXWHDh3K9Tnb4cOH6datm3V19ciRI1y6dImuXbsSHh5O8+bN+fLLL6/qmJYuXZrrrlf9+vVJSUnh9OnTGGNYtWoVvXv3ttbv3LmTyMhIQkJCGDhwIOfOnQOgc+fOPPfcc7Ru3ZrGjRuzadMm0tLSmDhxIosWLSIsLIxFixZx+fJlRo8eTevWrWnRooXDeD/77DPatm1Lv379rGWdO3cmODiYuLg4OnToQHh4eK4rzOvXr6dDhw7079+fwMDcw5qNMTzzzDMEBwfTvHnzXMlswIABzJ8//6rOmVLXi6+3veF3PtnJkShVOGfnx86dOzNu3DjCwsIIDg5m+/btAPzzn//M1WMlO49MmDCBI0eOEBYWxjPPPJOvvvnz53PHHf8bCVW5cmWaNWtGTEwMAIsWLeKuu+6y1sfFxXHbbbcREhJC165dOX78OABRUVGMHTuWdu3a0aBBA6tBPGHCBDZt2kRYWBjTpk0jMzOTZ555hlatWhESEsL/+3//L19M69atw93dnYceeshaFhoaSocOHQr8LhAXF0eTJk0YMWIEwcHBnDhxIledb775JsHBwQQHB/PWW29ZyzU3lqzSnM4hGmgkIgHYGnxDsd29s4iID3DWGJMFPA/Msi/3BpKNMan2Mu2BN0oxVsB2xy/LwPHEZBrVrlrau1Pl1Cv/3cu+35JKtM7Aujfxcr/Cr9hduXKFsLAwUlJSOHXqFGvXrnVYbufOnfz0009UrFiRJk2a8Pjjj1OvXj1ee+01qlevTmZmJl27dmX37t2EhIQAUKNGDXbs2AHAmjVr2LlzJ2FhYcyePZtRo0bl28fw4cOZMGECAwcOJCUlhaysLCpUqMCyZcu46aabSEhIIDIykv79+xdr8PGxY8fw9vamYsWKuZYPGTKExYsX06JFC8LDw3OtHzFiBNOnT6dTp05MnDiRV155xUoWGRkZbN++nZUrV/LKK6+wZs0aXn31VWJiYpgxYwYAL7zwArfddhuzZs3i/PnztG7dmm7duuHp6WntY8+ePbRs2dJhzLVq1WL16tV4eHhw6NAhhg0bZiXiHTt2sGfPnnyPWP7iiy+sq9IJCQm0atWKjh07UqdOHSIiInJ131GqLLnJw40qFd30jp8qlOZHm+TkZHbu3MnGjRsZPXo0e/bsKTD2SZMmsWfPHnbu3JlvXVpaGkePHsXf3z/X8qFDh7Jw4UJq166Nq6srdevW5bfffgPg8ccfZ+TIkYwcOZJZs2YxduxYli9fDtiGVGzevJkDBw7Qv39/hgwZwqRJk5g6dSpfffUVAB988AFeXl5ER0eTmppK+/bt6dGjR658Vlhu9PDwcPhdAGyN5blz5xIZGZlrm9jYWGbPns2PP/6IMYY2bdrQqVMnWrRoQXBwMNHR0QWeP3V1Su2OnzEmA3gM+BbYD3xujNkrIq+KSPZTOjsDv4jIQaA28Jp9eTMgRkR2YXvoyyRjzL7SijVbAx/bOJyjOs5PlUHZXVkOHDjAqlWrGDFiBMbkf8Je165d8fLywsPDg8DAQH799VcAPv/8c8LDw2nRogV79+5l377//Urdfffd1vsxY8Ywe/ZsMjMzWbRoEffck+t6DRcvXuTkyZMMHDgQsP2Rr1y5MsYYXnjhBUJCQujWrRsnT54sdrePU6dO4ai79l133cXixYtZsGABw4YNs5ZfuHCB8+fP06lTJwBGjhzJxo0brfWDBtmGDrds2ZK4uDiH+/zuu++YNGkSYWFhdO7cmZSUFOvKaHGkp6dz//3307x5c+68885c57N169YO59XZvHkzw4YNw9XVldq1a9OpUycrodWqVctK3EqVNSKCb7VKnDyvDT9V9pSV/JgtO1917NiRpKQkzp8/f03HlZCQQLVq1fIt79WrF6tXr2bhwoW54gPYunWrFde9997L5s2brXUDBgzAxcWFwMDAAvPzd999xyeffEJYWBht2rQhMTGRQ4cOFTvmwr4L1K9fP1+jD2y5ceDAgXh6elKlShUGDRrEpk2bANv4zQoVKnDx4sVix6AKVqoTuBtjVgIr8yybmOP9EiBf52tjzA9A89KMzZGAmrYr/TrOTxWmqCuP10Pbtm1JSEhwONYs510xV1dXMjIyOHbsGFOnTiU6Ohpvb2+ioqJyzf2S8y7X4MGDeeWVV7jtttto2bIlNWrUoDjmz5/PmTNniI2Nxd3dHX9//2LPL1OpUiWHZW+++Wbc3d1ZvXo1b7/9ttWdsijZ5yD7+B0xxrB06VKaNGlSYD1BQUFs2LDB4bpp06ZRu3Ztdu3aRVZWFh4eHta6nOezuFJSUqhUqdJVb6fU9eLrXYmT+nAXVQjNjzZ5e7qICG5ubrnGtRUnPxaUGytUqEDLli35z3/+w759+1ixonjTXec8fkcN4+zl06dPp2fPngXWExQUVODYycK+C1xLbgRITU3NlWPVtXP2w13KlJs83PGpUpFjCZecHYpShTpw4ACZmZnFbpQlJSXh6emJl5cXp0+f5ptvvimwrIeHBz179uThhx922I2latWq+Pn5WV1HUlNTSU5O5sKFC9SqVQt3d3fWrVtnXUktjsaNGxd4Z+7VV19l8uTJ1sB2AC8vL7y9va0rgvPmzbPu/hWkatWqua4Y9uzZk+nTp1vJ76effsq3zT333MMPP/yQayD9xo0b2bNnDxcuXKBOnTq4uLgwb968Yg3879ChA4sWLSIzM5MzZ86wceNGWrduDdieHlrQE0+VKgt8q1Xi5Dkd46fKNmfmx2zZ47c3b96Ml5cXXl5e+Pv7W11Gd+zYwbFjx4D8uSknb29vMjMzHTb+nnrqKSZPnkz16tVzLW/Xrh0LFy4EbI2wDh06FHL0jnPjzJkzSU9PB2y56fLl3DdEbrvtNlJTU/nggw+sZbt372bTpk3X9F2gQ4cOLF++nOTkZC5fvsyyZcusuBMTE/Hx8cHd3b3IelTRSvWOX3nUQKd0UGVU9hgGsF2Rmzt3bq7GUGFCQ0Np0aIFTZs2pV69erRv377Q8sOHD2fZsmX06NHD4fp58+bx4IMPMnHiRNzd3Vm8eDHDhw+nX79+NG/enIiICJo2bVrsY/P09OTWW2/l8OHDNGzYMNe6du3aOdxm7ty5PPTQQyQnJ9OgQQNmz55d6D66dOlide18/vnneemllxg/fjwhISFkZWUREBBgjXHIVqlSJb766ivGjx/P+PHjcXd3JyQkhLfffptHHnmEwYMH88knn9CrV69iXckcOHAgW7duJTQ0FBHhjTfe4OabbwZsg+X79OlTZB1KOYuvdyWSUjK4mJJOVQ/9EqbKjrKUH8HWQGzRogXp6enMmjULwMoXQUFBtGnThsaNGwO2MYTt27cnODiY3r17M2XKlFx19ejRg82bN9OtW7dcy4OCghw+zXP69OmMGjWKKVOmULNmzSJzY0hICK6uroSGhhIVFcW4ceOIi4sjPDwcYww1a9a0LvRmExGWLVvG+PHjmTx5Mh4eHvj7+/PWW29d03eB8PBwoqKirAuhY8aMoUUL2zMdNTeWLCnoVm95ExERYbIfrPBnTFi6m9X7ThP7UvcSiErdKPbv30+zZs2cHcZ1M3XqVC5cuMC//vWv67bPZcuWERsby7///e/rts+ypGPHjnz55ZfW0+jU/zj6/RORWPuUP6oYSiJHrtj1G2MX/MSq8R1oevNNJRSZKu80P+bWuXNnpk6dSkREyfx52rFjB9OmTWPevHklUl95M2jQICZNmmQ1lFVuV5sf9Y5fHgE+niReTuNCcjpelfWKpvrrGThwIEeOHCnwqWilud/ExMTrus+y4syZMzz55JPa6FNlWvZcfr+dv6INP/WX5Iz8GB4eTpcuXcjMzCz2XcwbRVpaGgMGDNBGXwnShl8eDWpmP9nzEi1u0S9h6q9n2bJlTtv3mDFjnLZvZ6pZsyYDBgxwdhhKFcrPWydxV39txcmP69evL/H9jh49usTrLA8qVKjAiBEjnB3GDUUf7pJHgI9tnI6O81NKKaX+p2aVilRwdSFep3RQSqlySRt+edxSvTKuLqJTOiillFI5uLgIdap56B0/pZQqp7Thl0cFNxfqeVfSO35KKaVUHnW9dBJ3pZQqr7Th50CDmlU4ckbn8lNKKaVy8vWuxG/a8FNKqXJJG34OBPh4Epd4maysG2OqC3VjeOedd2jWrBnDhw9nxYoVTJo06ZrrqlKlSglG9ud17tyZkpiOJa9Vq1bRpEkTGjZsWOD5euKJJwgLCyMsLIzGjRtTrVq1XOuTkpLw8/Pjscces5YtWrSIkJAQgoKCeO6556zlqamp3H333TRs2JA2bdpYk9InJibSpUsXqlSpkquewurauHEj4eHhuLm5sWTJknxx543r4sWL1nGEhYXh4+PD+PHjAXjzzTcJDAwkJCSErl275ppQ99lnnyUoKIhmzZoxduxYjDGF1lXY+Zo7dy6NGjWiUaNGzJ0711reuXNnmjRpYm33xx9/AHD8+HG6dOlCixYtCAkJYeXKlQ5/Rqrs8K1WiT8uppKWkeXsUJSyaH68esXJj4Xloeeee47g4GCCg4OtCesB1q5dS3h4OMHBwYwcOZKMjAwApkyZYuWA4OBgXF1dOXv2bKGxGGN48cUXady4Mc2aNeOdd94BbA/Q8fLysup79dVXizyuDh06WOXr1q1rPVDtwIEDtG3blooVKzJ16lSrfEpKCq1btyY0NJSgoCBefvnlIuPKji0sLIygoCA6depkLR89ejS1atUiODg433mePn06TZs2JSgoiGeffRawPdF01KhRNG/enNDQ0JJ7aJAx5oZ4tWzZ0pSUT7fFmfrPfWXizyWXWJ2qfNu3b5+zQzBNmjQxJ06cKJG6PD09S6SektKpUycTHR1donVmZGSYBg0amCNHjpjU1FQTEhJi9u7dW+g277zzjhk1alSuZWPHjjXDhg0zjz76qDHGmISEBFOvXj3zxx9/GGOMGTFihFmzZo0xxph3333XPPjgg8YYYxYsWGDuuusuY4wxly5dMps2bTIzZ8606imqrmPHjpldu3aZe++91yxevDhfrHnjyis8PNxs2LDBGGPM2rVrzeXLl40xxrz33ntWXFu2bDHt2rUzGRkZJiMjw0RGRpp169YVWldB5ysxMdEEBASYxMREc/bsWRMQEGDOnj1rjCn453v//feb9957zxhjzN69e039+vUdHouj3z8gxpSB3FNeXiWVIxdFHzf1n/vKxCVcKpH6VPmn+bF0OTM/FpSHvvrqK9OtWzeTnp5uLl26ZCIiIsyFCxdMZmam8fPzM7/88osxxpiXXnrJfPTRR/nqXbFihenSpUuRscyaNcvce++9JjMz0xhjzOnTp40xxqxbt8706dPnmo9r0KBBZu7cuVad27dvNy+88IKZMmWKVSYrK8tcvHjRGGNMWlqaad26tdm6dWuhcZ07d840a9bM/Prrr7mWG2PMhg0bTGxsrAkKCsoVy9q1a03Xrl1NSkpKrm1mzJhhoqKirGXh4eHW/nK62vyod/wcsJ7sqQ94UWXEQw89xNGjR+nduzfTpk1jzpw51p2eqKgoxo4dS7t27WjQoIF1Ve7SpUt07dqV8PBwmjdvzpdfflnoPuLi4mjatClRUVE0btyY4cOHs2bNGtq3b0+jRo3Yvn27VW/2VaiQkBCWLl2aq55Vq1Zx5513Wp/Xr19P3759AXj44YeJiIjId/Usp5xXW5csWUJUVBRgm+tu8ODBtGrVilatWrFly5ZCj2f79u00bNiQBg0aUKFCBYYOHVrkOViwYAHDhg2zPsfGxnL69Gl69OhhLTt69CiNGjWiZs2aAHTr1s06B19++SUjR44EYMiQIXz//fcYY/D09ORvf/sbHh4eufZXWF3+/v6EhITg4pL/z7SjuHI6ePAgf/zxBx06dACgS5cuVK5cGYDIyEji4+MBEBFSUlJIS0sjNTWV9PR0ateuXWhdBZ2vb7/9lu7du1O9enW8vb3p3r07q1atchhfNhEhKSkJgAsXLlC3bt1Cyyvn86umUzqoskXzY+nlx4Ly0L59++jYsSNubm54enoSEhLCqlWrSExMpEKFCta8e927d893DiB37igslpkzZzJx4kRr/7Vq1frTx5WUlMTatWutO361atWiVatWuLvnnrtbRKzznZ6eTnp6OiJSaFyfffYZgwYN4pZbbskXb8eOHalevXq+mGfOnMmECROoWLFirm327dvHbbfdZi2rVq1aidz51Xn8HLg1x1x+f2vk4+RoVFkzftV4dv6+s0TrDLs5jLd6vVXg+vfff59Vq1axbt06fHx8mDNnTq71p06dYvPmzRw4cID+/fszZMgQPDw8WLZsGTfddBMJCQlERkbSv39/6w+XI4cPH2bx4sXMmjWLVq1a8dlnn7F582ZWrFjB//3f/7F8+XL+9a9/4eXlxc8//wzAuXPnctXRrVs3HnjgAS5fvoynpyeLFi1i6NChALz22mtUr16dzMxMunbtyu7duwkJCSnWORo3bhxPPPEEf/vb3zh+/Dg9e/Zk//79xMTE8P777/PRRx/lKn/y5Enq1atnffbz8+PHH38ssP5ff/2VY8eOWX9os7KyeOqpp/j0009Zs2aNVa5hw4b88ssvxMXF4efnx/Lly0lLS8u3Tzc3N7y8vEhMTMTHx/HfkcLqKkhBceW0cOFC7r77boc/648//pjevXsD0LZtW7p06UKdOnUwxvDYY4/RrFmzYtWV93w5Ot8nT560Po8aNQpXV1cGDx7MP/7xD0SEf/7zn/To0YPp06dz+fLlAo9HlR117Q0/ndJBOaL58cbMj3mFhobyyiuv8NRTT5GcnMy6desIDAzEx8eHjIwMYmJiiIiIYMmSJZw4cSLXtsnJyaxatYoZM2YUGcuRI0dYtGgRy5Yto2bNmrzzzjs0atQIgK1btxIaGkrdunWZOnUqQUFBxTqu5cuX07VrV2666aYijzMzM5OWLVty+PBhHn30Udq0aVNoXAcPHiQ9PZ3OnTtz8eJFxo0bV+Q8hAcPHmTTpk28+OKLeHh4MHXqVFq1akVoaCgrVqxg2LBhnDhxgtjYWE6cOEHr1q2LjLsw2vBzoFbVinhWcNUpHVS5MWDAAFxcXAgMDOT06dOArRv3Cy+8wMaNG3FxceHkyZOcPn2am2++ucB6AgICaN68OQBBQUF07doVEaF58+bWeLU1a9awcOFCaxtvb+9cdbi5udGrVy/++9//MmTIEL7++mveeOMNAD7//HM++OADMjIyOHXqFPv27St2YluzZg379u2zPiclJXHp0iUiIiLyJbVrsXDhQoYMGYKrqysA7733Hrfffjt+fn65ynl7ezNz5kzuvvtuXFxcaNeuHUeOHLmmfV5LXQXFlfdY5s2bl2/5p59+SkxMDBs2bABsX2T2799v3QHs3r07mzZtynV3r6C68p6vwsyfPx9fX18uXrzI4MGDmTdvHiNGjGDBggVERUXx1FNPsXXrVu6991727Nnj8C6nKhvqVLPdtdYHvKjyQvPjn8+PefXo0YPo6GjatWtHzZo1adu2La6urogICxcu5IknniA1NZUePXrkyxH//e9/ad++vcO7X3mlpqbi4eFBTEwMX3zxBaNHj2bTpk2Eh4fz66+/UqVKFVauXMmAAQM4dOhQsWJfsGABY8aMKVZZV1dXdu7cyfnz5xk4cCB79uwhODi4wLgyMjKIjY3l+++/58qVK7Rt25bIyEjrDqgjGRkZnD17lm3bthEdHc1dd93F0aNHGT16NPv37yciIoL69evTrl27YuXbomjDzwERIaCmJ0d1SgflQGFXHp0lu4sA2BIa2L5snzlzhtjYWNzd3fH39yclJaXY9bi4uFifXVxcrAHaxTF06FBmzJhB9erViYiIoGrVqhw7doypU6cSHR2Nt7c3UVFRDuPJecU15/qsrCy2bduWr7tkQXx9fXNdaYyPj8fX17fA8gsXLuTdd9+1Pm/dupVNmzbx3nvvcenSJdLS0qhSpQqTJk2iX79+9OvXD4APPvjA+mOcvU8/Pz8yMjK4cOECNWrUKDTOguoqSGFxAezatYuMjAxatmyZa7s1a9bw2muvsWHDBuvnumzZMiIjI63uLL1792br1q1Ww6+guhydL19f31yDz+Pj4+ncubO1DqBq1arcc889bN++nREjRvDxxx9b3UHbtm1LSkoKCQkJRXbnUc5T0c2VWlUraldP5ZDmx6KVx/zoyIsvvsiLL74IwD333GM1btq2bcumTZsA+O677zh48GCu7RYuXJhrSEVhsfj5+TFo0CAABg4cyKhRowBy3a27/fbbeeSRR0hISCjyuBISEti+fTvLli27qmOtVq0aXbp0YdWqVQQHBxcYl5+fHzVq1MDT0xNPT086duzIrl27Cm34ZdclIrRu3RoXFxcSEhKoWbMm06ZNs8q1a9eu0HqKSy+rFiDApwrHEnRKB1V+XbhwgVq1auHu7s66detyPcnxz+jevXuuL/x5u7IAdOrUiR07dvDhhx9a3ViSkpLw9PTEy8uL06dP88033zisv3bt2uzfv5+srKxcf5yzuwRm27mz8O5ErVq14tChQxw7doy0tDQWLlxI//79HZY9cOAA586do23bttay+fPnc/z4ceLi4pg6dSojRoywGlfZT6U8d+4c7733nnX1sH///tbTLJcsWcJtt91WaNehwuoqSGFxQf5xigA//fQTDz74ICtWrMjVqLrlllvYsGEDGRkZpKens2HDhlxdPR3VVdD56tmzJ9999x3nzp3j3LlzfPfdd/Ts2ZOMjAwSEhIA2ziJr776ynqq2S233ML3338PwP79+0lJSbHGO6qyy9db5/JT5Zvmx+LnR0cyMzNJTEwEYPfu3ezevdsac56d01JTU5k8eTIPPfSQtd2FCxfYsGEDd9xxR7FiGTBgAOvWrQNgw4YNVsPn999/txrx27dvJysrixo1ahR5XEuWLKFv377FaiCfOXOG8+fPA3DlyhVWr15N06ZNC43rjjvuYPPmzWRkZJCcnMyPP/6Yb/hEXjnrOnjwIGlpafj4+JCcnMzly7YbUKtXr8bNzY3AwMAi4y6KNvwK0MDHk/hzV0hJz3R2KEpdk+HDhxMTE0Pz5s355JNPrD9Yf9Y//vEPzp07R3BwMKGhodYfrJxcXV3p27cv33zzjTVwPTQ0lBYtWtC0aVPuuece2rdv77D+SZMm0bdvX9q1a0edOnWs5e+88w4xMTGEhIQQGBjI+++/D0BMTIzDxpKbmxszZsygZ8+eNGvWjLvuuougoCAAJk6cyIoVK6yyCxcuZOjQoUU20rKNGzeOwMBA2rdvz4QJE6w/+vfddx+JiYk0bNiQN998M1eDzN/fnyeffJI5c+bg5+dndcspqK7o6Gj8/PxYvHgxDz6LbUz6AAAgAElEQVT4oBV7UT7//PN8jbVnnnmGS5cuceeddxIWFmYlwiFDhnDrrbdaj4sODQ217j4WVFdB56t69eq89NJL1sMFJk6cSPXq1UlNTaVnz56EhIQQFhaGr68v999/PwD/+c9/+PDDDwkNDWXYsGHMmTOn2D8D5Ty+1bThp8o3zY/Fy48F5aH09HQ6dOhAYGAgDzzwAJ9++ilubrZOhFOmTKFZs2aEhITQr18/axw42HqZ9OjRA09Pz2LFMmHCBJYuXUrz5s15/vnnrW6rS5Yssc7x2LFjWbhwISJSaF2Q/24j2BqRfn5+vPnmm/z73//Gz8+PpKQkTp06RZcuXQgJCaFVq1Z0797d+nkVFFezZs3o1asXISEhtG7dmjFjxlgXOocNG0bbtm355Zdf8PPz4+OPPwZs0zwcPXqU4OBghg4dyty5cxER/vjjD8LDw2nWrBmTJ092OOTiWkh2i7m8i4iIMCU5z8mXO08ybuFOvnuiI41rVy2xelX5tH///iKv2iilSoej3z8RiTXGRDgppHKnJHPk6yv3M3tLHAf+1QsXF22o/9VpflTKea42P+odvwI08LE/2fOMdvdUSil1/YhILxH5RUQOi8iEQsoNFhEjIte1AezrXYm0zCwSLqVez90qpZT6k7ThVwB/H9ucV/qAF6WUUteLiLgC7wK9gUBgmIjkG9ghIlWBcUDxn8FeQnx1SgellCqXtOFXgKoe7tSqWlGndFBKKXU9tQYOG2OOGmPSgIXAHQ7K/QuYDBT+KMJS4Outk7grpVR5VKoNv6K6q4hIfRH5XkR2i8h6EfHLsW6kiByyv0aWZpwFCfDx5Jje8VNKKXX9+AI5ZzyOty+ziEg4UM8Y8/X1DCxb9iTu+oAXpZQqX0qt4VfM7ipTgU+MMSHAq8Dr9m2rAy8DbbBd/XxZRLy5zhrUrKJj/JRSSpUZIuICvAk8VYyyD4hIjIjEnDlzpsRiuMnDnaoebnrHTymlypnSvONXnO4qgcBa+/t1Odb3BFYbY84aY84Bq4FepRirQw18PDmXnM65y2nXe9dKKaX+mk4C9XJ89rMvy1YVCAbWi0gcEAmscPSAF2PMB8aYCGNMREnPj+hbrRK/6R0/pZQqV0qz4VdkdxVgFzDI/n4gUFVEahRz21K7mpmtQU3bPCP6gBflbImJiYSFhREWFsbNN9+Mr6+v9TktzTkXJjp37kxJPR5+7ty5NGrUiEaNGlkToOd19913W8fs7+9PWFgYAHFxcVSqVMlal3Oy2NjYWJo3b07Dhg0ZO3asNeHrzp07iYyMJCwsjIiICLZv3w7YJpft168foaGhBAUFMXv2bKsuV1dXax+OJrodO3YsVapUsT6///77NG/enLCwMP72t79Z8/YVFm+2/v37W3P/FHbsYJs8t23btgQFBdG8eXNSUlIKrWvx4sUEBQXh4uKS6+c3f/58ax9hYWG4uLhYkwCnpaXxwAMP0LhxY5o2bcrSpUsd/oxUiYgGGolIgIhUAIYC1qSTxpgLxhgfY4y/McYf2Ab0N8aU3HxGxeCnk7irMkLzo22u1qZNmxISEsLAgQOticcBXn/9dRo2bEiTJk349ttvreWrVq2iSZMmNGzYMNecs/fddx+hoaGEhIQwZMgQLl3K3fNt6dKliIh1fNu3b7fOd2hoaK6J5d9++22Cg4MJCgrirbfespYXlIPPnTvHwIEDrXnw9uzZU2S8w4cPp0mTJgQHBzN69GjS09NzxRsdHY2bmxtLliyx9p2dM0NCQli0aJFVdu3atYSHhxMcHMzIkSPJyMiw1q1fv56wsDCCgoLo1KlTrn1kZmbSokULa56/4pxHpzHGlMoLGAJ8lOPzvcCMPGXqAl8APwFvY2vgVQOeBv6Ro9xLwNOF7a9ly5ampB3546Kp/9xXZnHMiRKvW5Uv+/btc3YIlpdfftlMmTIl17L09PTrHkenTp1MdHT0n64nMTHRBAQEmMTERHP27FkTEBBgzp49W+g2Tz75pHnllVeMMcYcO3bMBAUFOSzXqlUrs3Xr1v/P3n3HR1lljx//3JlJD+mhJKEkFOlFA9hALIiKYt8Fde1rxVV3XXV3FXW/+rOturui6ypr18UurKC4oMhioYpSQk0oSSCF9J6ZOb8/ZjImMWVIMsmEnPfrldfMPPPM89yZEO6c5957jjidTjnrrLNk6dKlIiIyffp0z/0lS5bIKaecIiIijzzyiNx9990iIpKbmyvR0dFSXV0tIiJhYWHNtmfdunVyxRVXNNinuLjYc3/RokUyY8aMVtsrIvLBBx/InDlzmt2n/nuvra2VMWPGyKZNm0REJD8/X+x2e4vH2rZtm2zfvr3F39+PP/4oKSkpnsfz5s2TP/3pTyIi4nA4JC8vr9n2+0JTf3/AevFR/9XVP8A5wE5gD/An97Y/4wrwGu+7Ekht7Zgd3UfO+3izjJ73WYceU3VP2j/+XGf3j8uWLfO8z7vvvtvTj23dulXGjh0rVVVVkp6eLikpKWK328Vut0tKSors2bNHqqurZezYsbJ161YRadh33XnnnfLoo496HpeUlMiUKVNk8uTJnvdXXl7uOXd2drbEx8dLbW2tbN68WUaNGuV5/vTTT5ddu3aJSPN98F133SUPPvigiIikpaXJaaedJiLSYnuXLFkiTqdTnE6nzJ49W55//nlPe+12u5x66qly9tlny3vvvSciIjt27JCdO3eKiEhWVpb07dtXCgsLxeFwSFJSkuzYsUNERO6//35ZsGCBiIgUFhbKiBEjZN++fSIikpOT0+Dzf+qpp2TOnDkyc+ZMz7aWPseOdKT9oy9H/FqbroKIZIvIRSIyAfiTe1uRN6/tDP1jQrFZjK7zU37p6quv5qabbmLy5MncfffdPPjgg/zlL3/xPD969Gj27t0LwJtvvsmkSZMYP348N954Iw6Ho8GxPvvsMy699FLP45UrV3quXN18882kpqYyatQoHnjggSbbUn+k6/333+fqq68GIC8vj4svvpiJEycyceJEvv7665+9dtmyZUyfPp2YmBiio6OZPn06n332WbPvW0R49913mTNnToufz8GDBykpKeH444/HGMOVV17Jxx9/DIAxhpKSEsA1ypeQkODZXlpaiohQVlZGTEwMNputxfM4HA5+//vf88QTTzTYHhER4blfXl6OMa0Xui4rK+Ppp5/mvvvua/L5xu/9888/Z+zYsYwbNw6A2NhYrFZri8caMWIExxxzTIvt+Pe//83s2bM9j19++WX+8Ic/AGCxWIiLi2v1vai2E5GlIjJMRAaLyCPubfNEZHET+06TTh7tA1eCl9JqO8WVta3vrFQn62n945lnnunpq44//ngyMzMBWLRoEbNnzyYoKIjk5GSGDBnC2rVrWbt2LUOGDCElJYXAwEBmz57NokWLgJ/6LhGhsrKyQd91//33c8899xAcHOzZFhoa6jl3VVWVZ/+0tDQmT57sef6UU07hww8/BJrvg7dt28Zpp50GwPDhw9m7dy85OTkttvecc87BGIMxhkmTJnneO8Czzz7LxRdfTO/evT3bhg0bxtChQwFISEigd+/e5OXlcfjwYQIDAxk2bBgA06dP98xuefvtt7nooosYMGAAQIPjZWZmsmTJEq6//voGv5OWPseu1PI3mvbxTFfBFbTNBi6rv4MxJg4oEBEn8AfgZfdTy4D/Vy+hy5nu5ztVgNXCgJhQzeypGrrjDnBPgesw48dDvWkQ3srMzOSbb77BarXy4IMPNrlPWloa77zzDl9//TUBAQHccsstvPXWW1x55ZWefc444wxuuOEGysvLCQsL45133vF88X/kkUeIiYnB4XBw+umn8+OPPzJ27Fiv2nf77bdz5513cvLJJ7N//35mzJhBWloa69ev54UXXmDBggVkZWXRv/9P13mSkpLIymr+Os///vc/+vTp4/mPGyAjI4MJEyYQERHBww8/zJQpU8jKyiIpyZMouMFx//rXvzJjxgzuuusunE4n33zzDQBz585l1qxZJCQkUFpayjvvvIPF4ro+VlVVRWpqKjabjXvvvZcLLrgAgPnz5zNr1iz69ev3s7Y+99xzPP3009TU1PDFF194tjfVXnB1qr/73e8IDQ316r3v3LkTYwwzZswgLy+P2bNnc/fdd3t1rJa88847nk61bsrQ/fffz8qVKxk8eDDz58+nT58+R3xcdfSoK+mQXVRJZEhAF7dG+Q3tH7u0fwTXhbpf/vKXAGRlZXH88cc3+frGx12z5qeSoNdccw1Lly5l5MiRPPXUUwBs3LiRAwcOMHPmTJ588skG51yzZg3XXnst+/bt44033sBmszF69Gj+9Kc/cfjwYUJCQli6dCmpqa6lyM31wePGjePDDz9kypQprF27ln379pGZmdnk51C/vQC1tbW88cYb/O1vf/O8948++ogvv/ySdevWNflZrV27lpqaGgYPHowxBrvdzvr160lNTeX999/nwAHXqrOdO3dSW1vLtGnTKC0t5fbbb/f8G7njjjt44oknKC0t/dnxm/ocu5rPRvxExA7MxRXEpQHvishWY8yfjTF1C2SmATuMMTuBPkDdlc0CXDWK1rl//uze1ulS4sO0lp/yW5deeqlnhKc5K1asYMOGDUycOJHx48ezYsUK0tPTG+xjs9k466yz+M9//oPdbmfJkiWcf74r19K7777Lsccey4QJE9i6datnrZo3li9fzty5cz3r4kpKSigrKyM1NZUFCxYc+RvGNRpVf7SvX79+7N+/n++//56nn36ayy67zHMlsTn/+Mc/eOaZZzhw4ADPPPMM1113HeC6ujp+/Hiys7PZtGkTc+fO9Rxr3759rF+/nrfffps77riDPXv2kJ2dzXvvvcdtt93W5HluvfVW9uzZw+OPP87DDz/cYns3bdrEnj17uPDCC71+73a7ndWrV/PWW2+xevVqPvroI1asWOHVsZqzZs0aQkNDPesC7XY7mZmZnHjiiWzcuJETTjiBu+6664iPq44udUXcNbOn8lc9sX985JFHsNlsXH755W16fZ1XXnmF7OxsRowYwTvvvIPT6eS3v/1ts8HL5MmT2bp1K+vWrePRRx+lqqqKESNGcM8993DmmWdy1llnMX78eM/vo7k++N5776WoqIjx48fz7LPPMmHChFZ/h3VuueUWpk6d6rmQescdd/D44497Lt42dvDgQX71q1/xyiuvYLFYMMawcOFC7rzzTiZNmkSvXr0857bb7WzYsIElS5awbNky/u///o+dO3fyySef0Lt3b4477jivPkd/4MsRP0RkKbC00bZ59e6/D7zfzGtf5qcRwC6THBfGql35OJ2CxeIfw7Sqi7XhyqOvhIWFee7bbDacTqfncV2SDxHhqquu4tFHH23xWLNnz2b+/PnExMSQmppKr169yMjI4C9/+Qvr1q0jOjqaq6+++mfJQ4AGUxjqP+90Ovnuu+8aTAtpLDExkZUrV3oeZ2ZmMm3atCb3tdvtfPjhh2zYsMGzLSgoiKCgIACOO+44Bg8ezM6dO0lMTGww5SMzM5PERFeOqNdee81zVfDSSy/1TNF45ZVXuPfeezHGMGTIEJKTk9m+fTuTJk3yvDYlJYVp06bx/fffExISwu7duxkyZAgAFRUVDBkyhN27d//ss7355ptbbO+6detYv349gwYNwm63k5uby7Rp0zyfTVPvPSkpialTp3qmXp5zzjls3LiR8PDwFo/VkoULFzYILmNjYwkNDeWiiy7yfF7/+te/Wj2OOrp5irhrghdVn/aPP3ttZ/WPr776Kp988gkrVqzwnDMxMdEzalX3+rq+rLntdaxWK7Nnz+aJJ57goosuYsuWLZ5zHzp0iFmzZrF48WLPKB64lhKEh4ezZcsWUlNTue666zxB3R//+EfPLJzm+uCIiAhPUjURITk5mZSUFCorK1ts70MPPUReXh7//Oc/PdvWr1/vGZnNz89n6dKl2Gw2LrjgAkpKSpg5cyaPPPJIgxHRE044gf/973+AaynFzp07AVdfGxsbS1hYGGFhYUydOpUffviBjRs3snjxYpYuXUpVVRUlJSVcccUVvPnmm01+jtdcc02Tv7vO5NMC7keDlPhwauxO7dyU3xs0aBAbN24EXFMyMjIyADj99NN5//33yc3NBaCgoIB9+/b97PWnnHIKGzdu5KWXXvL8Z1lSUkJYWBiRkZHk5OTw6aefNnnuPn36kJaWhtPpbJDR68wzz+TZZ5/1PN7UxBSgGTNm8Pnnn1NYWEhhYSGff/45M2bMaPI8y5cvZ/jw4Q2mcObl5XnWZKSnp7Nr1y5SUlLo168fERERfPfdd4gIr7/+uucqbUJCAl999RXgyuJVN3VywIABrFixAoCcnBx27NhBSkoKhYWFVFdXA64O5Ouvv2bkyJHMnDmTQ4cOsXfvXvbu3UtoaKgn6Nu1a5enjUuWLPGco7n23nzzzWRnZ7N3715Wr17NsGHDGnT4Tb33GTNmsHnzZioqKrDb7Xz11VeMHDmy1WM1x+l08u677zZY32eM4bzzzvO8fsWKFYwc2bgkq+pp4sKCCLRZtG9U3cLR3j9+9tlnPPHEEyxevLjB9P5Zs2axcOFCqqurycjIYNeuXUyaNImJEyeya9cuMjIyqKmpYeHChcyaNQsR8fRhIsLixYsZPnw4kZGR5Ofne/q6448/3hP0ZWRkeLJf7tu3j+3btzNo0CAAz+e6f/9+PvzwQy67zLXiq7k+uKioyJOJdcGCBUydOpWIiIhm21u337Jly/j3v//dYHQvIyPD095LLrmE559/ngsuuICamhouvPBCrrzySi655JIGn2Nde6urq3n88cc9WbfPP/98Vq9ejd1up6KigjVr1jBixAgeffRRMjMz2bt3LwsXLuS0007jzTffbPZz9Ac+HfE7GiTHua4YZeSX0z/myNfKKNVZLr74Yl5//XVGjRrF5MmTPQuUR44cycMPP8yZZ56J0+kkICCA5557joEDBzZ4vdVq5dxzz+XVV1/1pIweN24cEyZMYPjw4fTv35+TTjqpyXM/9thjnHvuucTHx5OamupJW/z3v/+dW2+9lbFjx2K325k6dSovvPBCgzUMMTEx3H///UycOBGAefPmERMTA8D111/PTTfd5Lmi2Hg0CmDVqlXMmzePgIAALBYLL7zwguf1zz//PFdffTWVlZWcffbZnH322QC89NJL3H777djtdoKDg3nxxRcB1zq2q6++mjFjxiAiPP7448TFxfHNN99w4403YrFYcDqd3Hvvva0GP/Pnz2f58uUEBAQQHR3t+Uxbam9Lmnrv0dHR/Pa3v2XixIkYYzjnnHOYOXNmi8f56KOPuO2228jLy2PmzJmMHz/ek+J71apV9O/fn5SUlAavefzxx/nVr37FHXfcQXx8fIMyF6pnslgMCZHBOtVTdQtHe/84d+5cqqurmT59OuBK8PLCCy8watQofvGLXzBy5EhsNhvPPfecZ/ri/PnzmTFjBg6Hg2uvvZZRo0bhdDq56qqrKCkpQUQYN24c//jHP1r8bFevXs1jjz3m6dOef/55zyyUiy++mMOHD3s+16ioKKD5PjgtLY2rrroKYwyjRo3yzC6x2WxNthfgpptuYuDAgZxwwgkAXHTRRcybN69xMz3effddVq1axeHDh3n11VcB12jp+PHjefLJJ/nkk09wOp3cfPPNnkQzI0aM4KyzzmLs2LFYLBauv/76BmWSGqsbST6Sz7GzGFfWz+4vNTVVOqpmSn25pVVMemQFD543kqtPSu7w46vuIS0tjREjRnR1M5TqkZr6+zPGbBCRnxUtV03zRR95+YLvKK928PGtTX/hVT2D9o9KdZ0j7R91qmcr4sODCA+yaWZPpZRSqp7EKC3irpRS3YkGfq0wxrgye2rgp5RSSnkkRoWSV1pNVa2j9Z2VUkp1OQ38vJAcpyUdlGvOtlKqc+nfnf+qy+x5sPjnmQxVz6J/p0p1vrb83Wng54WUuHCyiyv1qmYPFhwczOHDh7VzU6oTiQiHDx9uMd256joJUa7fiyZ46dm0f1Sq87W1f2w1q6cxJgyoFBGnMWYYMBz4VERq29bU7ic5PgwR2Hu4nOF9I7q6OaoLJCUlkZmZSV5eXlc3RakeJTg4uEEJi+6iJ/SdSVGuTNfZus6vR9P+Uamu0Zb+0ZtyDquAKcaYaOBzYB3wS+DyI25hN5XiLumQnqeBX08VEBBAcrJmdVVKee2o7zv7RgZjDGRq4Nejaf+oVPfhzVRPIyIVwEXA8yJyKTDKt83yL/Vr+SmllFJeOOr7zkCbhT69tJafUkp1F14FfsaYE3BdpVzi3mb1XZP8T1iQjb4RwezJK+vqpiillOoeekTfmRgdQlZRRVc3QymllBe8CfzuAP4AfCQiW40xKcCXvm2W/0mOC9MRP6WUUt7qEX1ngtbyU0qpbqPVNX4i8hXwlTEm1P04HfiNrxvmb1Liw/jkx4OICMaYrm6OUkopP9ZT+s7EqBA+23IQh1OwWrRvVEopf9bqiJ8x5gRjzDZgu/vxOGPM8z5vmZ9JjgujuLKWwoqjJiGbUkopH+kpfWdidAi1DiGvtLqrm6KUUqoV3kz1/CswAzgMICI/AFN92Sh/NDg+HIB0XeenlFKqdT2i70yKchVx13V+Sinl/7wq4C4iBxpt6nGVzOsye6brOj+llFJe6Al9Z2K0K/DL1MyeSinl97yp43fAGHMiIMaYAOB2IM23zfI/SdEhBFgN6Xka+CmllGpVj+g7Ezwjfhr4KaWUv/NmxO8m4FYgEcgCxrsf9yg2q4UBMaFk5OtUT6WUUq3qEX1neJCNyJAAsjXwU0opv+dNVs98XHWIerzkuHAd8VNKKdWqntR3JkaFaBF3pZTqBloN/IwxrwDSeLuIXOuTFvmxwfFhrNqZp2mrlVJKtagn9Z2J0SHsO6wXRZVSyt95s8bvk3r3g4ELgWzfNMe/JceFUeNwklVYyYDY0K5ujlJKKf/VY/rOxKgQvtmdr3VulVLKz3kz1fOD+o+NMf8GVntzcGPMWcDfACuwQEQea/T8AOA1IMq9z70istQYMwjXIvgd7l2/E5GbvDmnL6XUlXTIL9PATymlVLPa03d2N4lRIZTXOCiurCUqNLCrm6OUUqoZXpVzaGQo0Lu1nYwxVuA54GxgJDDHGDOy0W73Ae+KyARgNlC/uO0eERnv/unyoA/qlXTQdX5KKaWOjFd9Z3dUV9JBM3sqpZR/82aNXymudQrGfXsIuMeLY08CdotIuvs4C4HzgW319hEgwn0/Ej+fBhMXHkivYBsZWstPKaVUC9rRd3Y7iXUlHQorGZUQ2cWtUUop1Rxvpnr2auOxE4H6xWszgcmN9nkQ+NwYcxsQBpxR77lkY8z3QAlwn4j8r/EJjDE3ADcADBgwoI3N9J4xhpS4MNK1pINSSqkWtKPv7HZ0xE8ppbqHZgM/Y8yxLb1QRDZ2wPnnAK+KyFPGmBOAN4wxo4GDwAAROWyMOQ742BgzSkRKGrXhReBFgNTU1J9lT/OFlPhw1qQf7oxTKaWU6mY6qe/0K7FhgQTZLFrSQSml/FxLI35PtfCcAKe1cuwsoH+9x0nubfVdB5wFICLfGmOCgTgRyQWq3ds3GGP2AMOA9a2c0+eS48L46PssKmrshAZ6kxRVKaVUD9LevtObxGh1xeEdQBlwg4hs+9mBOokxhsSoELKLNfBTSil/1mzkIiKntvPY64ChxphkXAHfbOCyRvvsB04HXjXGjMCV8jrPGBMPFIiIwxiTgmtRfHo729MhUuJdCV725lcwMiGilb2VUkr1JO3tO+slRpuOa4nEOmPM4kaB3dsi8oJ7/1nA07gvonaVxGgt4q6UUv7OqyEr9/TLkbgCMwBE5PWWXiMidmPMXGAZrquWL4vIVmPMn4H1IrIY+B3wkjHmTlxXQq8WETHGTAX+bIypBZzATSJS0Ib31+E8mT3zyzTwU0op1ay29J14kRit0bKHMJooFN/ZEqNCSDtY0vqOSimluow3WT0fAKbh6ryW4irPsBporfNCRJa6X1N/27x697cBJzXxug+ADxpv9wd1gV+GlnRQSinVjHb0nd4kRsMYcyvwWyCQZqaPdmYCtMSoEPLLaqiqdRAcYPXpuZRSSrWNN3X8LsE1HfOQiFwDjMNVeqFHCg200S8ymHQt6aCUUqp5Pu07ReQ5ERmMq0TEfc3s86KIpIpIanx8fEedukma2VMppfyfN4FfpYg4AbsxJgLIpWHSlh4nJT5MAz+llFItaWvf6U1itPoWAhe0uZUdJMFdyy9bAz+llPJb3gR+640xUcBLwAZgI/CtT1vl55LjwsjIK0Oky5dVKKWU8k9t7Ts9idGMMYG4EqMtrr+DMWZovYczgV0d0+S2q1/EXSmllH/ypoD7Le67LxhjPgMiRORH3zbLv6XEhVNSZedweQ1x4UFd3RyllFJ+pq19p5eJ0eYaY84AaoFC4CrfvAvv9Y0MxmJ0qqdSSvkzb5K7LMY1lWSRiOz1eYu6gWR3SYeM/PIuC/xe/TqD0EAbv5jYo2fdKqWUX2pP3+lFYrTbO6KNHSnAaqFvRLCO+CmllB/zZqrnU8DJwDZjzPvGmEvchdZ7rMFx4QCk55V1yflr7E7+8vlO/rlqT5ecXymlVKt6XN+ZEBVCpo74KaWU32o18BORr9xTVlKAfwK/wLVIvcdKjA4h0GrpsgQvazMKKKu2k55fTlm1vUvaoJRSqnk9se9MjA7R5C5KKeXHvBnxwxgTAlwM3ARMBF7zZaP8ndViGBgbSnoX1fJbnpYDgAhszSrukjYopZRqWU/rOxOjQjhUXIXDqYnPlFLKH7Ua+Blj3gXScBWInQ8MFpHbfN0wf5ccF0ZGF4z4iQgrtucwLslVDmqzBn5KKeV3emLfmRgdgt0p5JRUdXVTlFJKNaHV5C7Av4A5IuLwdWO6k5T4cC0x/bkAACAASURBVL7ckYvd4cRm9WrgtEPsyi3jQEElN04dTG5ptQZ+Sinln3pc3+kp6VBU6anrp5RSyn94s8ZvWU/quLyVEhdGrUM6PXV13TTP00f0ZnRipAZ+Sinlh3pi36m1/JRSyr913lDVUSbFXdKhs9f5rUjLZVRCBP0iQxibGElGfjmlVbWd2gallFKqscTon0b8lFJK+R8N/NooOc4d+HXiOr+C8ho27i/k9BF9ABidFOlK8JJd0mltUEoppZoSGmgjOjRAAz+llPJT3qzxwxgzC5jqfviViPzHd03qHmLCAokMCejUWn5fbs9FBM4Y0RuAMYmuBC9bsoo5PiW209rhD+wOJ//3yTZOGhLHmaP6dnVzlFLqZ3pi35kYHaJTPZVSyk95k9XzUeB2YJv75zfGmP/n64b5O2NMp2f2XLE9h969ghid4Ar44sKDSIgM7pHr/P7f0u289u0+7nrvBw6XVXd1c5RSqoGe2ncmRoXoiJ9SSvkpb6Z6zgSmi8jLIvIycBZwrm+b1T2kxId12hq/GruTVTvzOX1EbywW49k+OjGSzZk9K/D7cGMmL3+dwTlj+lJR4+Dxz7Z3dZOUUqqxHtl3JkS5RvxEtJafUkr5G2/X+EXVux/pi4Z0RylxYRwqqaK82u7zc63JOExZtZ3Th/dpsH1MYiTpPSjBy5asYv7w4WYmJ8fwt9kTuG5KMu+uz2TDvsKubppSSjXW4/rOxKgQKmsdFFX0jD5JKaW6E28Cv0eB740xrxpjXgM2AI/4tlndQ0p8OECnTPdckZZLkM3CSUPiGmwf4y7k3hMSvOSXVXPD6+uJDQvkucuPJcBq4TenDaVvRDD3f7wFh1OvMCul/EaP7DuTNLOnUkr5LW/q+P0bOB74EPgAOEFE3vF1w7qDusyevg78RITlaTmcPCSOkEBrg+fqErwc7dM9ax1Obn1rI4fLa/jnr1KJCw8CICzIxv3njmTbwRLeWrOvi1uplFIuPbXvTIwKBSBTE7wopZTfaTarpzHm2EabMt23CcaYBBHZ6LtmdQ+ekg4+Xue3M6eMzMJKbpk25GfPxfaQBC+PLEljTUYBT/9inGeUs845Y/py8pA4nly2g3PG9PMEhUop1dl6et+ptfyUUsp/tVTO4akWnhPgtA5uS7cTHGAlMSqEjHzflnRYnpYDwOnuMg6NjUmKZMtRHPi9vyGTV7/Zy7UnJXPRsUk/e94Yw4OzRnH231bx2Kfb+cul47qglUopBfTwvjM6NIDgAIuWdFBHJLe0ivjwIIwxre+slGqzZgM/ETnVGGPBNT3l67Yc3BhzFvA3wAosEJHHGj0/AHgN1wJ4K3CviCx1P/cH4DrAAfxGRJa1pQ2+lhIf5vMi7ivSchiTGEmfiOAmnx+TGMmyrTmUVNUSERzg07Z0th8OFPHHjzZzQkosfzxneLP7DekdzvVTUvjHyj3Mntif1EExndhKpZRy6Yi+szszxpAYFUK2jvgpL73+7V7mLdrKGSP68NQvxhEZcnR9j1HKn7S4xk9EnMD8thzYGGMFngPOBkYCc4wxIxvtdh/wrohMAGYDz7tfO9L9eBSuFNjPu4/nd5LjwsjIK/dZ6ur8smq+P1DU7GgfuEo6AGzNOroSvOSVVnPTmxuIDw9i/mUTsFlbXpJ622lDSIgM5v5FW7E7nJ3USqWUaqg9fefRIDE6tEunehaW13D7wu/Z1gOSnnV3C/6XzrxFWxmbFMnKHbmcP381aQf196aUr3iT1XOFMeZic+Tj75OA3SKSLiI1wELg/Eb7CBDhvh8JZLvvnw8sFJFqEckAdruP53dS4sIorbaT56Mi4l9uz0UEzhjRp9l96hK8HE3TPWsdTm59eyOFFTX881fHEevFur3QQFeil7SDJbz5nSZ6UUp1qbb2nd1eVxdx/29aDos2ZXPFv9awK6e0y9qhWvb8yt08vCSNc8b05YObT2ThDcdTUePgwue/5qPvM1s/gFLqiHkT+N0IvAdUG2NKjDGlxhhvLsckAgfqPc50b6vvQeAKY0wmsBS47Qhe6xeS60o6+CjBy4q0XPpGBDMqIaLZfWLDg0iMCuHHoyjwe/iTbazNKODxi8d6RjS9cdbovkwZGsdTn+8kr9Q3wbhSSnmhrX1nt5cUHUJBeQ0VNb6vcduUtRkFRATbsFoMly1Y0ykll9SR+dvyXTzx2Q5mjUvg77MnEGC1kDoohk9+czJjk6K4850fmLdoCzV2nb2jVEfyppxDLxGxiEigiES4HzcfhRyZOcCrIpIEnAO84V4b4RVjzA3GmPXGmPV5eXkd1KQjk1KX2dMHHUu13cH/duVx2ojerS54Hp0YcdSM+L27/gCvfbuPX09J5vzxRxbvG2N4aNYoquwOHv00zUctVEqplvm47/RrCVGu9ejZRVVdcv61GQWcMDiWt6+fjMMpXP7Sd2QWVnRJW1RDIsJflu3gmeU7ufjYJJ755fgGyzh69wrmresn8+spybz+7T5++eK3HCzW9aJKdRSvgixjTLQxZpIxZmrdjxcvywL613uc5N5W33XAuwAi8i0QDMR5+VpE5EURSRWR1Pj4eG/eSodLiAoh0GbxyRXF79ILKK9xcEYL6/vqjEmMJCO/nJKq2g5vR2fadKCI+z7awklDYrnnrOaTubQkJT6cG6am8OHGLNZmFHRwC5VSyjtt7Du7vbpafl0x3fNQcRX7CyqYOCiGoX168cZ1kyirtnPZS2s4VNw1gahyEREe/XQ787/czZxJ/XnykrFYLT+/qB1gtfCnmSN57rJj2XmolHP/vppv9uR3QYuVOvq0GvgZY64HVgHLgIfctw96cex1wFBjTLIxJhBXspbFjfbZD5zuPs8IXIFfnnu/2caYIGNMMjAUWOvNG+psVoshOTaM9LyOL+mwIi2H4AALJw6Oa3XfMUlRQPdO8JJbWsVNb2ygd0QQ8+cc22oyl5bceuoQEqNCmLdoiyZ6UUp1unb0nd2ep5ZfF5R0WLvXdbFvcnIsAKMSInn9uskUlNdw2YLvdAlAFxERHvrPNl5clc6VJwzkkQvGYGki6Ktv5th+LJp7ElGhAVyxYA0vfLXHZ4n0lOopvPlmfTswEdgnIqcCE4Ci1l4kInZgLq7OLg1X9s6txpg/G2NmuXf7HfBrY8wPwL+Bq8VlK66RwG3AZ8CtIuI4wvfWaZLjOr6kg4iwIi2Xk4fEExzQekLTugQvm7Na/dX4pRq7k1ve3EhRZQ0v/iqV6LDAdh2vLtHL9kOlvP6tJnpRSnW6NvWdR4M+vYKwWgxZRZ0/vXJdRgHhQTZG9Ovl2Ta+fxQvXz2Rg0VV/OpfayiqqOn0dvVkTqfwp4+38Oo3e7nu5GQemjWq1aCvzpDevVg092TOHt2Pxz7dzk1vbqC0m89sUqoreRP4VYlIFYAxJkhEtgPHeHNwEVkqIsNEZLCIPOLeNk9EFrvvbxORk0RknIiMF5HP6732EffrjhGRT4/8rXWelPgw9h+uoLYDR5a2Hyolq6jSq2meADFhgSRGhbC5m474/fmTrazfV8gTl4xjZAuJbI7EjFF9OGVYPM/8dye5JTrFRynVqdrcd3Z3NquFvhHBXTPil1HAsQOjfzZjZFJyDC9dmUp6fjm/+tfabr8sortwOIV7PviRt9fs5+Zpg7lv5ogjLtIeHmRj/mUTuG/mCJan5XL+/K/ZqdlalWoTbwK/TGNMFPAx8F9jzCJAh1DqSY4Lw+4UMjuwk1uRlgPAacO9C/zANerXHRO8vLNuP29+t58bp6Ywa1xChx3XGMODs0ZRbXfy6KfbO+y4SinlhR7dd7qKuHfuBbfC8hp25JQyOTmmyedPHhrHC1ccy/ZDJVzzyjrKq7sm62hPYXc4ueu9H3hvQya3nz6Uu2ccc8RBXx1jDNdPSeHt6ydTUmXn/Plfs2jTz1I/KKVa4U1WzwtFpEhEHgTuB/4FXODrhnUnKe6SDh25zm95Wi7jkiLpHRHs9WvGJHW/BC8b9xdy/8dbmTI0jrvbmMylJclxYdx4SgoffZ/FmvTDHX58pZRqSk/vOxOjO7+W3/p9hQBMHNR04Adw2vA+/H32BDYdKOL619ZTVeu3q0i6tVqHk9vf2cRH32fx+xnHcOf0YW0O+uqbnBLLkt+czKiECG5fuIkHF2/Vkg9KHYFmAz9jzERjzNn1t4nIV4AdGOPrhnUndSUdOiqzZ15pNT9kFnF6C0XbmzK6mxVyzy1xJXPpGxnMs3MmNJndqyPcMq0u0cvWDp2Oq5RSjWnf6ZIYFcKhkqpOTa61NuMwgTYLY5Narv169ph+PHXpOL7LOMyNb2yg2q7BX0eqsTuZ+/ZGlvx4kD+eM5xbTx3SocfvExHMv284nmtOGsSr3+zlspe+I0eXcyjllZZG/B7HlVylsa3Ak75pTvcUHRZIdGgAezqoiPuX23MRgdO9XN9XZ0w3Cvxq7E5ufmsjpVV2XrzyOKJC25fMpSUhgVYeOG8kO3JKee2bvT47j1JKoX0n4BrxcziFQ534hXzt3kLGJ0V5lRDtggmJPHbRGL7amcdtb3+vFwU7SFWtg5ve3MCyrTk8cN5Ibpg62CfnCbBaeOC8Ufx9zgS2Zpcw8++r+U5n9SjVqpYCv14i8rP1CO5trdcX6GGS48LIyO+YqZ7L03JIiAxmZL8jS3JSl+Dlx0z/D/we/M9WNuwr5MlLxzK8r+9rGk8f2YdTj4nnr8t36ZVBpZQvtbvvNMacZYzZYYzZbYy5t4nnf2uM2WaM+dEYs8IYM7AD2t2hEqM6t6RDebWdLVnFTGpmfV9TfjlxAA/NGsXn23L47bs/4HBqqYD2qKp18OvX1/PF9lweuXA015yU7PNzzhqXwKK5JxERbOPyBWt4aVV6tyv5UG13sP1QCf/dlsOa9MPszi2jqKIGpx//e3Q6pdt9zsrF1sJz0S08F9rRDenuUuLDWbUzr93Hqap18L9d+Vx8XGKb5sN3hwQvb6/Z78nwde7Yjkvm0pK6RC/Tn1nF/1uaxt9mT+iU8yqlepx29Z3GGCvwHDAdyATWGWMWi0j9UcTvgVQRqTDG3Aw8AfyyHW3ucAnuwC+7uHMCv437C3E45YgCP4CrThxEVa2DRz/dTpDNwhMXj/W61ID6SUWNneteXc93GYd54pKx/CK1f6ede1ifXiyaexJ3vfcDjyxN4/sDrgzh4UEtfcXtfHaHk72HK9iVU8qOnFJ25pSyM6eMjPzyJi86WC2GmLBAYsMCiQsPIjY8kNiwuttAYt3b4tzbQgOtR/y9sdbhpLiylqKKWoorayiqcN0vrKjxbC+qrKWowv2ce5/SKjuBNguRIQFEhQQQFRpAZEig63Goa1tkaID7caDrsfu5XsEBPlvaIyLYnUKN3en6cTiprnVisxrCg22EBdp8du7uoqW/iuXGmEeA+8Qd1hvXv6iHgC86o3HdSXJcGO9vyKSs2t6u/2y+TT9MZa3jiNf31RmTFMlnWw9RXFlLZEhAm9vhKxv2FfDA4i2cMiyeu87s3MzmA2PDuOmUwfx9xS5mTxzACYNjO/X8Sqkeob195yRgt4iku1+7EDifetNHReTLevt/B1zR2kErtmxi0/Aor99EewnwelUtQe9b2WTzJoF4+wTanbxud9Dr4wA2HeFrJwPv2J1UL3Sw5l4LIV5MFVU/EaCixsHNTie/DbAS8JHliH8HHeFm4Fr373HTfYaQQCvWDkgo0xZOAYcITqfgFMHhFFyxnRAGHAukGoPFGCwWg9WAxRgEV/AiAs569wX3Nvcx6pS5f/YCYDDGNZXPGNf9ukBQRNzHbni//rEAAoB494/7iO7j1LvvPn79tgotH7fY/bO/8XEBTMPj4j5OnbqBRam3oe5+/VNJw71aYNzncj8yzTx27dqorQ0fNz5bw0HQeu+j8XtoYX+Dayqzr7QUofwOWADsNsbU/Q2PA9YD1/usRd2UJ8FLXjljWllY3pIVaTmEBlo5IaVtQUndOr+tWcWcOMS/ZuTmlFRx05sbSYgK4e+zfZfMpSW3TBvMhxszmbdoC0tvn+LTPy6lVI/U3r4zEThQ73EmrtikOdcBTda6NcbcANwAMDywc/+/dX1xMjg7aTqY3SlY3V/Y2iLIZkGAGrsDgyE4QPsGb7iCPjsOJ4QE2Aiwdu1oSpDNgtViqKxxUF7tINhmwVh++nfx05d31x3j2Uib/u04hXqBnSvQczQKfIwxWI3BZjVYDFjdwV7z52u5JY0DOGfj4EvqbRMBpEEAZ/EEWvWDuvoBUL1Ap408bXQHrNB8kCgITudP9z2fQKM21AWxde2s/3xdAFn/06v/u4V6AWRdu9wNrf8Z4mlD101jNZiuCfxEpByYY4xJAUa5N2+tuwqpGvKUdMgva3PgJyJ8kZbLyUPivFqc3pS6wG+znwV+1XbXgu/yajtvXjeZyNCuGY0MDrDy4HmjuP719bz69V5+PTWlS9qhlDo6dWbfaYy5AkgFTmmmLS8CLwKkpqbK+PXrO7oJLZo1fzWRIQG8cV1LcWv7VdsdjH3wc644fiD3nzuyzccRER76zzZe/WYvt502hN918qyU7qaoooYrX15L2sESnp1zLFNH9+3qJnkcLK7klrc28v3+Iq9fY7MYgmwWggKsBLtvg+rf2iwEB1gJtFk4VFzFzpxSSqt+qgUZ3yuIYX3CGdanF8f06cXQPr0Y2ieciOCum31Vtw6vI0pp9CTVdteFg/JqO6VVdsqq7a777tuyKjvlNXasxmC1GgIsFmxWg81isFkt2Cyu4M1qMQRYDTaLpdn9bO7nA6wGq8UQaLPQu5f3pdya1MLvu9U5ie7OSoO9VgyMDcUYSG9HZs9tB0vILq7ijjOGtfkY0WGBJEWHsNmP1vmJCA8s2sr3+4v4x+XHckzfXl3anjNG9uH04b356/KdnDcugb6R7fwDU0qpRtrRd2YB9RdIJbm3NWCMOQP4E3CKiFS3qZE+lhgVwo6cUp+fZ3NmMdV25xGv72vMGMO8c0dSVevg2S92Exxg7fBSBL5kdzj5MauYb3bn882ew+zMKaNPRBADYkLpHxNK/+gQ121MKIlRIW2+wAxQUF7DFQvWsDu3jBeuOK7Ny1N8pV9kCO/fdCIZ+WVU1TqpqnVQbXdSbXdQVeu6rW6wval9nFTXOqhy35ZW2ckrrabG7iSuVxDnj0/gmD69GOb+iQ7zXXbyttKAr22CbFaCbFZi/PB32l7+tfK1GwsOsJIYFdKuWn4r0nIxBk4dfmRlHBobkxjpV4Hfok3ZLFx3gFtPHczZY/p1dXMAeOC8UZzxzFc8sjSNZ+doohellN9YBww1xiTjCvhmA5fV38EYMwH4J3CWiOR2fhO9kxAVwpc7chERn34BXbu3AGi5cLu3LBbDIxeOodru5MllOwiyWbh+in/ODHE6he2HSvlmjyvQW5tRQFm1awRqRL8Iph0TT15pNTtySlmxPfdnhc49QWF0KEnuwLAuSOwTEdzscoy80mouX/Ad+w5XsOCqVKYOi29yv65mtRiG9O7aC81K+RsN/DpQclwY6e0o6bAiLYdxSVHE9wpqVztGJ0by6Rb/SfCycN1+hvQO57fT/WfazIDYUG6ZNpi/Lt/FnIn9/WparFKq5xIRuzFmLrAMsAIvi8hWY8yfgfUishhXPcBw4D13QLVfRGZ1WaObkRgVQlWtk4LyGmLD29evtWRtRgFDe4d32NV5q8Xw5CVjqbY7eHhJGsEBVq44vusrZogIew9XeAK9b/ccpqC8BnB9/zh/fAInDo7jhMGxP/ssnE4ht7SaA4UVHCio4EBBJfsLKjhQWMF36Yc5uCmrQaKJAKshMeqnEcL+0aH0jwkhLjyIP320meyiKl65eqL2nUp1M14FfsaYk4GhIvKKMSYeCBeRDN82rfsZHB/Oe+sPtOnqZm5JFT9kFnPXmW2f5llnbJL/JHgprqhl3d5Cbpya4ncpdG86ZTAfbsxi3uKtLP3NFAI7IfOcUqrnaGvfKSJLgaWNts2rd/+MDm+sDyRGu2v5FVX6LPBzOIUNewuZNb5jSwPZrBb++ssJVNdu4L6PtxAcYOWS45I69BzeOFRcxTd78vl692G+3ZNPdrGrDm3fiGCmHRPPiYPjOHFwrKd8RnMsFkPfyGD6RgY3OTJabXeQXVTlCgoLXYFh3f0tmw9SWFHr2Tcs0Mpr105q99RapVTnazXwM8Y8gGvx+DHAK7iyvb4JnOTbpnU/yXFhlNc4yC2tpk/Eka0b+2K7a7ZOR8yTH53gCvx+9IPAb+XOXBxO8bv5/+BO9DJrJNe+up5Xvs7gxlMGd3WTlFJHCe07GxZxH5vkm1ISaQdLKK22+yQICbRZeO7yY7n+tfXc/f4PBNksnDfOt7VnC8tr+C79MF+7R/Xq8gZEhwZwwuBYbh4cx0mDY0mOC+vQ6bNBNivJcWEkuzOUN1ZaVesKBgsrGN63FwNjm95PKeXfvBnxuxCYAGwEEJFsY4xOmm5CSrzrP8L0vPIjDvyWp+WSGBXC8A5IfOJPCV5WpOUSGxbI+P6dVz/qSJw2vA9njOjD31bsYtb4BPpFtnzVVCmlvNTj+86keiN+vrI2o+PW9zUlOMDKi1cex9Uvr+OOdzaRV1pNvw5OCGZ3Cj9mFvHNnsNsO1iCiGtUbVJyDHMmDuDEIbGM6BvRpYXlewUHMDIhgJEJEV3WBqVU+3kT+NWIiBhj6grR6mWeZtRdKUvPLzui4uBVtQ5W787jF6n9O+wK3tikSLZ0ceBX63CyckcuZ47q63fTPOt74LyRnPH0Vzy8JI3nLju2q5ujlDo69Pi+MzIkgNBAq08Dv3V7C0iKDml1qmN7hAbaePmaiVyxYA1//mSbT84RaLVw7MAo7jxjGCcNiWVsUpTWmVVKdThvAr93jTH/BKKMMb8GrsVVnFY1khAZQpDNQsYRlnT4Zk8+VbXODp0OOToxkqWbD1FcUdtlNfPW7y2kpMrOGSPal6XU1/rHhHLrqUN4+r87mTMxn5OH6mJ1pVS79fi+0xhXgpCsQt8EfiLC2owCTjnG91klw4NsvHfTCaTnlXuKTHcUg2FATCghgW0vr6CUUt7wpo7fX4wx04ESXGsV5onIf33esm7IYjHuzJ5HFvgtT8slLNDK8SkdN1WlrpD7luxiTuqidX4r0nIItFqYMtQ/Uz3Xd8PUFD7YmMm8xVv47PapmuhFKdUu2ne6JEaH+GzEb09eOYfLa5jko2mejQVYLV1eh1Yppdqj1W+3xpjHReS/IvJ7EblLRP5rjHm8MxrXHaXEhx1RLT8R4Yu0XKYMjSfI1nFX++oCv65c57diey7HD44lLMj/q4a4Er2MIj2vnH+t1oS1Sqn20b7TJTHKd4HfOnf9Ps0uqZRS3vHmG/l04J5G285uYpvCtc5v2dYcauxOr0aNtmaXcKikitM7eDpkVGgg/WNC2JzZNYHfnrwyMvLLueakQV1y/rY49ZjenDmyD8/8dycfbszs8ONHhwYyNimSsf2jGJcUyYCYUJ8WNW4Lp1PYX1BBtd3ZLa5sL9t6iOe/3E213YnNarBaLNgsBqvFeG4DrJYGj123FgKsDR/b3I8D3I+jQgMYlRDByIQIQgP9/+KF8jvad+Iq4l5UUUt5tb3DLwKuzSggLjyo2UyUSimlGmr2f2FjzM3ALUCKMebHek/1Ar72dcO6q5S4cBxO4UBhBYPjw1vdf3laDsbAqcM7fh3cmMTILhvxW5GWA8BpPnhfvvR/F4zmqc93UFZt7/BjHyqu4vXv9lHjHlGMCg1gTGIk4/tHMTbJFQz2PsJssO1RWlXLjkOlpB0sIc19u+NQKRU1DgDOG5fA/eeOoHevzmuTt/JKq3lw8VaWbD7IkN7hpMSF4XAKdqe4b53U2J31HgsOp+ux3fHTPnXP2R0/Pa51NFy/Y4yrRufohAhGJ0YyOjGSkQkRRAR3zdpZ5d+072yoLrNndlElQ/t07MWktRkFTEqO9rsLaEop5a9auvz2NvAp8Chwb73tpSJS4M3BjTFnAX8DrMACEXms0fPPAKe6H4YCvUUkyv2cA9jsfm6/iMzy5pxdLbleSQdvAr8VablM6B9FnA+K245JjOqyBC/L03IZ3rcXSdGhnXre9uoTEcwTl4zz2fFrHU52HCrlx8xifswsYtOBIp5fuQeH0xVs9I0IZlz/SHcgGMWYpEgiQ9r3u6sbxdt+qIRtB10B3vZDJRwo+Gn6VUSwjRH9IvhFan9G9OtFdlEV/1i5h5U7crnnrOFcNmlAl6YSryMifLgxiz9/so3KGge/n3EMN0xN6fDsd06nkFtazZasYrZkF7Mlq4Tv0gv4eFO2Z59BsaGeQHB0QiSjEiKIDgvs0HaobqndfefRpK6WX2YHB36ZhRVkFVXy6ynJHXZMpZQ62jUb+IlIMVAMzDHGWIE+7v3DjTHhIrK/pQO7X/McrukumcA6Y8xiEfHkQhaRO+vtfxuumkd1KkVkfBveU5dKcU85ycgvw/WRNS+npIrNWcX8fsYxPmlL/XV+nZmpsqiihg37CrlZC6L/TIDV4gkWLps8AIDKGgdbs4v5wR0M/nCgiGVbczyvSYkLc00RTYpiXP9IRiVEEhzQ9HrQ1kbxLMY1HXlsUhSzJw5gRL9eDO8bQb/I4J9dNT9/fAL3fbyF+z7ewgcbM3n0ojEM79t1NZyyiir544eb+WpnHscNjObxi8cypHfrF1fawmIx9I0Mpm9kMGeM/OnvOK+0mq3Zxa6AMKuETQeK+OTHg57nk6JDGJ0QyejECEYlRjImMdInF3WU/2pv33m0SYz+qYh7R6pb3zdR1/cppZTXWp1wb4yZCzwI5ABO92YBxrby0knAbhFJdx9nIXA+0FwRnDnAA603uRk7dsC0aW1+eUeJAt7fV0jMfwIhvpV1ByXVLMwvY+yqKPBBGufjncLCvQX0/ywUfFjjqDF7WTVv5ZYx6stISNkcywAAIABJREFUeFTXRrUmBEh1/9SxO4Wyajvl1XbPbY3dSS2wyRhCA6yEB9sIDbRS6xAqauxU1DiornUFeEOB4RbD5YE2woKshAa69g0JtGL1clpUCvAWkF9Wzb7DFRQ9LuyLDCYpOsTrY3QEwXWRJKuggluBx6ND6RMZjHmn05rgEQ9Mc//Uqfv8y6vtlNc4KK+2U+X+PewG9tsshAXaCA1y/S4CrRYsxrWe0HXrSnvfWZ+oU/BMe20wPdZRbzqsexuAtdGayfrrIhtv7/oxYf/Rjr7zqNK7VzA2i+nwBC9rMwrpFWzr0otRSinV3XjzrfwO4BgROXyEx04EDtR7nAlMbmpHY8xAIBn4ot7mYGPMesAOPCYiH7d0soraSjYd2nSETfSNauPgYCWUHGo5mKuoceCwCjsLfBcc2a129pUY8qo6rz5QRa0Dh0XYU6hBX0exBEJgADicgkOEUqdQXCaeelIWY7BYDNbAnwIKi4FaoKjW9cORVRlpwBoItXYH+0qc7C81hARYsXXC1E+HCFW1ThxOJ1aLhZAAK4cq4ZDv6kG3XwAE1f2unEK1CBXVgrOqtdpfrsCpLqZ23Tba5n7CeO67bzEIgrhPIeL6lyGC+/anx7Rag6zhOeuO0frr3K91t6kumP3p/fz02Ob+N3qUa2vfeVSxukfPszs88DvMxEExWP1gCrpSSnUX3nwzP4Br2oovzQbeFxFHvW0DRSTLGJMCfGGM2Swie+q/yBhzA3ADQFBiEHfc6x8zQ/fklVFUUctxA6Ob3ccpwvq9hfSOCGJQrO8yku3KKaOsxs6E/lE+O0d9IrB+XwGxYYGkeLHGUbVPtd1JgLXzvkSXVtlJzy+jssZBbFgQA+NCCezg9XXg+nd0sLiSzMJKLAYGxoYR36t7T5l0OIWKGgd2pxOn0/V/QF0g73SKayTOff+nbYKj3r5Ocf1ISzGYAZupl+HUWj+jab2sp9amtzX3b8nT3nojgj+/72xxH3E3fEjv8PZPgb3mq/a93vc6o+/sFjq6iHt+WTV78sq55Lj+HXZMpZTqCbwJ/NKBlcaYJUB13UYRebqV12UB9f9XTnJva8ps4Nb6G0Qky32bboxZiWv9355G+7wIvAiQmpoqK69e2UqTOsc/Vu7h8c+2s3j2mc1m/lu+LYfrd6znjVmTfFrgvK4tH/9iOlGhvk888c3ufC7bsYZ/XnocM0b19fn5VOersTt5cdUe/v7FbkorLPz+rGO4fPLADrvyvjW7mHs++JF9h0q4anRfHjp/lF9mFu0qIkK13UlljYOKWgeVNXZq7EKvYBsRIQH0CrL5RSKexsQ9eltaVUtYkK3dqf3NNf73Hhtpa9951EmMDuHbPR038Lle6/cppVSbeNPz7nf/BLp/vLUOGGqMScYV8M0GLmu8kzFmOBANfFtvWzRQISLVxpg44CTgiSM4d5eqqymUkVfOuGZG2lZszyE8yMbk5FiftmVskivBy5askk5J8LI8LZdAm4UpnZhMRnWuQJuFuacN5dyxCdy/aAvzFm3lg41Z/L8LRzMqIbLNx62qdfDsF7t44at0okMD+cflx3L2mH4d2PKjgzGG4AArwQFWmp9T4H+MMYS415n2EG3tO486SVEh5JRUUetwdkgG3rUZhQQHWDwJzJRSSnmn1cBPRB4CMMaEux+XeXNgEbG7F7cvw1XO4WUR2WqM+TOwXkQWu3edDSwUaTB5aQTwT2OME7DgWuPXXFIYvzM4vi6zZ9OBn9MprEjLZeqwOK+KvLfHaPcX8R+zinwe+IkIK7bncOLgWC143QMMigvj9WsnsfiHbP7vk23Mmv811540iDvOGHbEozkb9hVw9/s/uqdvJXHfzBGdMkKtlK+0te88GiVGh+AUVy3T/jHtL/Gzdu9hJvSP9nn/qZRSRxtvsnqOBt4AYtyP84ErRWRra68VkaXA0kbb5jV6/GATr/sGGNPa8f3VgNhQLAbS85ru57dkF5NbWs3pw1su99ARIkMDGBATypZOKOS+J6+MfYcruH5Kis/PpfyDMYbzxycybVhvHvtsOy/9L4Olmw/x0KxRDcogNKe82s6Ty3bw2rd7SYgM4fVrJzF1mO+mPivVWdrTdx5tEtxZpbOKKtsd+JVW1bItu4S5pw3tiKYppVSP4s3lsheB34rIQBEZCPwOeMm3zeregmxWkqJDSc9vOo3i8rRcLAZOHd67U9ozJimSzZ0Q+C1PywXg9E56X8p/RIYG8OhFY3j/phMID7Jx/evruemNDRwsbj6hw6qdeZz5zCpe+3YvV50wiM/vnKpBnzqaaN/pVlfEvSMSvGzYV4hTYLKu71NKqSPmTeAXJiJf1j0QkZWA79JQHiWS48LIaCbwW5GWw7EDookJ65ypbGMSIzlQUElheY1Pz7MiLYeR/SI8V3dVz5M6KIZPfnMy95w1nJU7cznjqa945esMT004gKKKGu567weufHktQQEW3rvxBB6cNardyT6U8jPad7rVH/Frr7UZBdgshgkDOidTtVJKHU28CfzSjTH3G2MGuX/uw5WtTLUgJd4V+EmjvOsHiyvZml3C6SN8P82zTt0C+C3Zvhv1KyyvYcO+Qs4YoaN9PV2A1cLN0wbz+R2nkDoohof+s40Ln/+aLVnFfLr5IGc8vYqPvs/i1lMHs/Q3U0gdpFfu1VFJ+0634AArceFBHTLit25vAaMTI3UduVJKtYE3gd+1QDzwofsn3r1NtSAlLoyKGgc5JdUNtn+x3TUdsjMDpLoEL76c7vnljlycQqcGtMq/DYgN5dVrJjL/sgkcLK7i3GdXc/NbG+kTEcTiuSfx+xnDCQ7oMRkeVc+jfWc9idEh7R7xq6p18MOBYp3mqZRSbeRNVs9C4Ded0JajSl3x8vS8MvpG/lSDbEVaLgNiQhnSu/OKm0eGBjAwNpTNmb4L/Fak5RLfK0jTa6sGjDGcOzaBKUPjee7L3cSFB3LtScnYfFD0XSl/on1nQ4lRwWw/WNquY2w6UESNw8lEnSWglFJt0mzgZ4xZ3NxzACIyq+Obc/Soq+WXnl/OiUNcZRQqaxx8vTufyyYPwJjOLT48OjGSHw4U+eTYNXYnX+3M49yx/fyycLTqepEhAfzxnBFd3QylfE77zqYlRoWwIi0XEWlz/7cuowBj0MBPKaXaqKURvxOAA8C/gTWAfqM/An0jggkJsJKe91OCl9W786m2OzmjC6ZDjk2MZMmPByksryG6g5PKrM0ooKzartM8lVJK+84mJUaFUG13kl9WQ3yvoDYdY+3eAo75/+3de3hc9X3n8fdHkm3JN8lYgmAJsA0mjrEJBGNICQlgQskmBboburhpl2yT0PRZck+6pJuHJHR3n1y2Tdom24QkhHSXhFJyY1sCAQOBJMQXzMU2MuDYjpExkmz5Bli2ZX33j3Nkj2Vd7Tk6mtHn9TzzaObMmTOfGcv++nfO73LSFGonjityOjOzsWGg/lavA/4KmA/8HfB2YFtE/CIifjES4UpZRYWYWT+JjdsOr+W3tLmVKROqcjlb2dMFM4txfg82tzKhqoK3nJHtAvFmZiXAtbMPjdOS9fuOdZxf18FunvjdDhZ5fJ+Z2THrt+EXEQcj4r6IuB64EFgPPCLpxhFLV+JmN0w6tJZfd3ewdF0bb319A+OrRn5801kZNfwigqXrWrnojHpqxnuiDjMb21w7+3a8a/mtfWk3r+0/6IafmdlxGHByF0kTgHcCS4CZwN8DP84+VnmYXT+Jn63eyv6ubpq37qZ9z77cljuorUkmeFlT5IbfC22v8GLHXj74ttOLelwzs1Ll2nm0nobfS8d4xW/5xg4AFnl8n5nZMRtocpd/Iumqci/w+YhYM2KpysTshkl0B2zueJWlza1UCC45M7917hY01vLk5uJO8PJgcysAi+d6fJ+ZmWtn36bWVDF5QtUxd/VcvqmDmdMncuLU6sF3NjOzPg3U5/BPgDnAR4BfS9qd3vZI2j0y8UrbrPqeJR1e5cHmNhaedkLRJ1YZjgWNtWzZuZcdr+4v2jGXNrcxv3HqEUtWmJmNYa6dfZBEY10NLcfQ1bO7O1ixqcOzeZqZHaeBxvhVRMSU9Da14DYlIqaOZMhS1bOkw69/u51nt+5mcU7dPHsUe4KX7a/sY9XmHb7aZ2aWKkbtlHSlpOckrZd0Ux/Pv1XSKkldkt5d/E+RjWNdxH19+yvsfO2Ax/eZmR0nr6KcodqacdRPHs9dK18EyH25g2JP8PLwc+1EkMvyFGZm5UhSJfB14B3APGCJpHm9dtsMvBf4/simOz6NdTVs2fHasF+3rGd8nxt+ZmbHxQ2/jM2un8xr+w8yc/pETm+YlGuW2ppxzJw+kdUtxWn4LW1u5aSpE5jf6AvAZmZFsghYHxEbImI/cCdwdeEOEbEpIp4BuvMIeKxm1NWwu7OLPZ0HhvW6FRs7OGnqBE49YWJGyczMxgY3/DLW091z8RtOQsp/Hd/5jbVFueK3r+sgjz7fzmVzR8fnMjMrE40kC8D3aEm3DZukGyStlLSyvb29KOGOR+O0npk9O4f8mohg+cYOFs2a7lpjZnac3PDL2OyGnoZfvuP7epzdlEzw0nGcE7ws29DBq/sP5rY8hZmZDSwibo2IhRGxsKGhIe84h9fy2zn07p4vduzl5d2dLJo5LatYZmZjxoDr+Nnxu+bcRvZ3dXPBrOl5RwGSK36QjPN725nH/h+Bpc2tVI+r4KIz6osVzczMYAtwSsHjpnRbyWuaNvxF3Jdv6hnfNzpqqJlZKfMVv4ydNLWaDy2eQ2XF6Oii0tPwO56F3COCB5vbeMsZ9VSPqyxWNDMzgxXAHEmzJI0HrgPuyTlTUTRMnsC4SrFlGF09l2/cTm3NOOacODnDZGZmY4MbfmPM1OpxzKqfdFwTvDzXuoctO/fmPkupmVm5iYgu4EbgfqAZuCsi1kq6RdJVAJLOl9QCXAt8U9La/BIPXUWFOLl2eEs6rNi0g/NnnkDFKDl5amZWytzVcwya31jLqt/tOObXL21uA2DxXI/vMzMrtoi4F7i317abC+6vIOkCWnKGs6RD2+5ONm57lT9edGrGqczMxgZf8RuDFjROPa4JXh5sbuXsplpOnFpd5GRmZlbOhrOIe8/4vvO9fp+ZWVFk2vCTdKWk5yStl3RTH89/RdJT6e15STsLnrte0gvp7fosc441CxrrgGNbyH3bK/t46sWdLJ7rbp5mZjY8jXU1tO3Zx/6uwZcgXLGxg4njKzlrhteKNTMrhswafpIqga8D7wDmAUskzSvcJyI+FhHnRMQ5wD8AP0pfewLwWeACksVsPyvJczkXyVnpguurW3YOsufRHlrXRsToWZ7CzMxKR+O0GiLg5V2DT/CybGMHbzp1GuMq3TnJzKwYsvzXdBGwPiI2RMR+4E7g6gH2XwL8IL3/+8ADEdERETuAB4ArM8w6phya4OUYrvgtbW7l5Npqn4E1M7Nh61nLr2WQtfx2vXaA51r3sMjdPM3MiibLhl8j8GLB45Z021EknQbMAh4azmsl3SBppaSV7e3tRQk9VixorGXNlt3Dek3ngYM89sI2Lpt7IpJnWDMzs+E5tIj7IGv5rfxdBxFw/kw3/MzMimW09J+4Drg7Ig4O50URcWtELIyIhQ0Nx74Y+Vi0oLGWLTv3sv2VfUN+zW82bOe1/Qe53Ms4mJnZMTi5LpkUbLAJXpZv6mBcpTj31LqRiGVmNiZk2fDbApxS8Lgp3daX6zjczXO4r7Vj0LOQ+3C6ey5tbqNmXCVvPn16VrHMzKyMTaiq5MQpEwa94rd8YwdvbKqjelzlCCUzMyt/WTb8VgBzJM2SNJ6kcXdP750kzQWmAY8XbL4fuELStHRSlyvSbVYk89MJXtYMseEXESxtbuWiM+pdiM3M7Jg1TqvhpV39N/xe29/F6pZdXsbBzKzIMmv4RUQXcCNJg60ZuCsi1kq6RdJVBbteB9wZEVHw2g7gr0kajyuAW9JtViRTqscxu34Sz7QMreHXvHUPL+3q5HLP5mlmZsdhRl3NgFf8ntq8k67u8MQuZmZFVpXlwSPiXuDeXttu7vX4c/289jbgtszCGfMba1m5aWjt6aXNrQBcNtcNPzMzO3ZNdTU8sLaV7u6gouLoicKWbexAgvNO8ypOZmbFNFomd7EcnN1Uy0u7Otk2hAleHlzXxhubajlxavUIJDMzs3LVOK2G/Qe7+609KzZ1MO/kqUytHjfCyczMypsbfmPYUCd4advTydMv7mSxZ/M0M7PjdHgtv6O7e+7v6mbV5h1exsHMLANu+I1hPYuwrxlknN/D69oAWOzxfWZmdpxmpA2/l/po+K3esovOA91c4PF9ZmZF54bfGDalehyzGyYNesXvweY2ZtRWM+/kqSOUzMzMylXjtP4XcV+Rjjv3jJ5mZsXnht8Yt6CxdsCGX+eBg/zyhW1c9oYTkY4ehG9mZjYcU6vHMaW6qs9F3Jdv7GB2wyTqJ0/IIZmZWXlzw2+MW9BYy9YBJnh5/Lfb2XvgoMf3mZlZ0TT2saTDwe5gxaYOd/M0M8uIG35j3IJBJnh5sLmVieMrefPs6SMZy8zMyljTtJqjrvg99/Ie9nR2eWIXM7OMuOE3xp3VWIsEq/uY4CUieGhdG285o57qcZU5pDMzs3I0o+7oht/yjdsBvHC7mVlG3PAb4yZPqGJWfd8TvKx9aTdbd3Vyubt5mplZETXW1bCns4vdnQcObVuxaQczaqtpmjYxx2RmZuXLDT/j7MZa1vTR8Fva3IYEl871Mg5mZlY8vWf2jAiWbezw1T4zswy54WfMTyd4ad9z5AQvS9e18samOhqmeHY1MzMrnp5F3Hsafpu2v8a2V/axaJbHk5uZZcUNPzs0wUvhVb/W3Z0807KLy71ou5mZFVnPFb+XdiUNv8Pj+6bllsnMrNy54WeHJ3gpaPg9tK4NwMs4mJlZ0dVPmsD4yopDV/yWb9zBCZPGc3rD5JyTmZmVLzf8jMkTqphdP4lnCmb2XNrcSmNdDXNfNyXHZGZmVo4qKsSMumpa0pk9l2/azvkzpyEp52RmZuXLDT8Dku6ePV09Ow8c5Jfrt7H4DSe6CJuZWSYapyWLuG/dtZcXO/Z6fJ+ZWcbc8DMAFjTV8fLuTtr2dPKr9dvoPNDtbp5mZpaZxnQtv+UbOwC4wDN6mpllyg0/A46c4OXB5jYmja/kwtkuwmZmlo3Guom079nHL1/YxuQJVbzh5Kl5RzIzK2tu+BkAZ82YigTPtOzioXWtXDyngQlVlXnHMjOzMjWjrhqA+9a+zHmnTaOywkMLzMyy5IafATBpQhWnN0zm7idaaN29j8VexsHMzDLUs6TDns4uL9xuZjYC3PCzQxY01tKyYy8SXDrXDT8zszxIulLSc5LWS7qpj+cnSPrn9PllkmaOfMrj11Q38dB9N/zMzLLnhp8dMj8d53fuKXXUT56Qcxozs7FHUiXwdeAdwDxgiaR5vXZ7H7AjIs4AvgJ8cWRTFsfraquRYHxVBWc31eYdx8ys7GXa8BvsrGW6zx9JelbSWknfL9h+UNJT6e2eLHNaoqfwejZPM7PcLALWR8SGiNgP3Alc3Wufq4HvpffvBharBNfeGV9VweumVnNOU53HlJuZjYCqrA5ccNby7UALsELSPRHxbME+c4BPAxdFxA5Jhf0L90bEOVnls6O96dRpfOadb+Da807JO4qZ2VjVCLxY8LgFuKC/fSKiS9IuYDqwrXAnSTcANwCceuqpWeU9Lv/9mvlMdw8TM7MRkVnDj4KzlgCSes5aPluwzweAr0fEDoCIaMswjw2iskK8/+LZeccwM7MiiIhbgVsBFi5cGDnH6ZN7mJiZjZwsu3r2ddaysdc+ZwJnSvqVpN9IurLguWpJK9Pt1/T1BpJuSPdZ2d7eXtz0ZmZmI28LUNjtoind1uc+kqqAWmD7iKQzM7OSlffkLlXAHOASYAnwLUl16XOnRcRC4I+Br0o6vfeLI+LWiFgYEQsbGhpGKrOZmVlWVgBzJM2SNB64Dug9zv0e4Pr0/ruBhyJiVF7RMzOz0SPLht9Qzlq2APdExIGI2Ag8T9IQJCK2pD83AI8A52aY1czMLHcR0QXcCNwPNAN3RcRaSbdIuird7TvAdEnrgY8DfU6eZmZmVijLMX6HzlqSNPiuI7l6V+gnJFf6viupnqTr5wZJ04DXImJfuv0i4EsZZjUzMxsVIuJe4N5e224uuN8JXDvSuczMrLRl1vBLZxrrOWtZCdzWc9YSWBkR96TPXSHpWeAg8KmI2C7p94BvSuomuSr5hcLZQM3MzMzMzGzosrziN5SzlkHSTeXjvfb5NbAgy2xmZmZmZmZjRd6Tu5iZmZmZmVnGVC4TgUlqB35XhEPV02sR3FHMWbNRSlmhtPI6azZKKSsUJ+9pEeHpnIeoSDVyLP6ejRRnzYazZqeU8o61rP3Wx7Jp+BWLpJXpMhKjnrNmo5SyQmnlddZslFJWKL28lii1P7dSyuus2XDW7JRSXmc9zF09zczMzMzMypwbfmZmZmZmZmXODb+j3Zp3gGFw1myUUlYorbzOmo1Sygqll9cSpfbnVkp5nTUbzpqdUsrrrCmP8TMzMzMzMytzvuJnZmZmZmZW5tzwMzMzMzMzK3Nu+KUkXSnpOUnrJd2Ud56BSDpF0sOSnpW0VtJH8s40GEmVkp6U9K95ZxmIpDpJd0taJ6lZ0pvzztQfSR9L//zXSPqBpOq8MxWSdJukNklrCradIOkBSS+kP6flmbFHP1m/nP4ePCPpx5Lq8szYo6+sBc99QlJIqs8jW2/9ZZX0ofS7XSvpS3nls6ErlRrp+pgt18jicH3MjmvkwNzwI/lHF/g68A5gHrBE0rx8Uw2oC/hERMwDLgT+yyjPC/ARoDnvEEPwd8B9ETEXeCOjNLOkRuDDwMKImA9UAtflm+ootwNX9tp2E7A0IuYAS9PHo8HtHJ31AWB+RJwNPA98eqRD9eN2js6KpFOAK4DNIx1oALfTK6ukS4GrgTdGxFnA/8ohlw1DidVI18dsuUYWx+24Pmbldlwj++WGX2IRsD4iNkTEfuBOki99VIqIrRGxKr2/h+Qf3sZ8U/VPUhPwTuDbeWcZiKRa4K3AdwAiYn9E7Mw31YCqgBpJVcBE4KWc8xwhIh4FOnptvhr4Xnr/e8A1IxqqH31ljYifR0RX+vA3QNOIB+tDP98rwFeAvwRGzYxd/WT9C+ALEbEv3adtxIPZcJVMjXR9zI5rZPG4PmbHNXJgbvglGoEXCx63MIoLRSFJM4FzgWX5JhnQV0n+snXnHWQQs4B24Ltpt5tvS5qUd6i+RMQWkrNAm4GtwK6I+Hm+qYbkpIjYmt5/GTgpzzDD8GfAz/IO0R9JVwNbIuLpvLMMwZnAxZKWSfqFpPPzDmSDKska6fpYdK6R2XJ9zIhr5GFu+JUwSZOBHwIfjYjdeefpi6R3AW0R8UTeWYagCngT8I8RcS7wKqOnq8UR0r7/V5MU4hnAJEl/km+q4YlkLZlRc+atP5L+G0n3sTvyztIXSROBvwJuzjvLEFUBJ5B0w/sUcJck5RvJyo3rYyZcI0eI62PxuEYeyQ2/xBbglILHTem2UUvSOJKidkdE/CjvPAO4CLhK0iaS7kGXSfq/+UbqVwvQEhE9Z4fvJilyo9HlwMaIaI+IA8CPgN/LOdNQtEo6GSD9Oaq7+Ul6L/Au4D0xehc9PZ3kPzdPp3/PmoBVkl6Xa6r+tQA/isRykisdo2KgvfWrpGqk62NmXCOz5fqYDdfIAm74JVYAcyTNkjSeZADwPTln6lfa8v8O0BwRf5t3noFExKcjoikiZpJ8rw9FxKg86xYRLwMvSnp9umkx8GyOkQayGbhQ0sT092Exo3SQfS/3ANen968HfppjlgFJupKkC9ZVEfFa3nn6ExGrI+LEiJiZ/j1rAd6U/j6PRj8BLgWQdCYwHtiWayIbTMnUSNfH7LhGZs71MQOukUdyww9IB6jeCNxP8g/DXRGxNt9UA7oI+FOSs4NPpbd/l3eoMvEh4A5JzwDnAP8z5zx9Ss+43g2sAlaT/F2+NddQvUj6AfA48HpJLZLeB3wBeLukF0jOyH4hz4w9+sn6NWAK8ED6d+wbuYZM9ZN1VOon623A7HT66juB60f52eIxr8RqpOtjtlwji8D1MTuukYO8p+utmZmZmZlZefMVPzMzMzMzszLnhp+ZmZmZmVmZc8PPzMzMzMyszLnhZ2ZmZmZmVubc8DMzMzMzMytzbvjZqCYpJP1NweNPSvpckY59u6R3F+NYg7zPtZKaJT1chGN9VNLEgsevHMexTpb0r8ebaSRIapC0TNKTki7u9dwdkp6TtEbSbenizUh6l6Rb8klsZpYt18ejjuX66Ppog3DDz0a7fcC/l1Sfd5BCkqqGsfv7gA9ExKVFeOuPAhMH3WtoPg58q0jHOiaSKoe462JgdUScGxGP9XruDmAusACoAd6fbv834A8K/yNgZlZGXB+P5Pro+miDcMPPRrsukkVXP9b7id5nJHvO7km6RNIvJP1U0gZJX5D0HknLJa2WdHrBYS6XtFLS85Lelb6+UtKXJa2Q9IykPy847mOS7gGe7SPPkvT4ayR9Md12M/AW4DuSvtxr/0skPSrp39Izct+QVJE+949prrWSPp9u+zAwA3i48OyopP8h6WlJv5F0Urrt2jTH05Ie7ee7/Q/Afen+702/r0ckvSDpswXH/3h6rDWSPppu+1SaB0lfkfRQev8ySXek96+Q9LikVZL+RdLkdPsmSV+UtAq4ttd3MlPSQ+n3vlTSqZLOAb4EXK1kodiawtdExL2RApYDTen2AB4B3tXP5zczK2Wuj66Pro82PBHhm2+j9ga8AkwFNgG1wCeBz6XP3Q68u3Df9OclwE7gZGACsAX4fPrcR4CvFrz+PpITIHOAFqAauAH4TLrPBGAlMCufd/nEAAAEX0lEQVQ97qvArD5yzgA2Aw1AFfAQcE363CPAwj5ecwnQCcwGKoEHej4PcEL6szJ9/dnp401AfcExAviD9P6XCnKvBhrT+3V9vPcs4ImCx+8FtgLTSc4KrgEWAuelx5oETAbWAucCFwL/kr72MZKCMg74LPDnQD3wKDAp3ee/AjcXfIa/7OfP+/8B16f3/wz4SUG+rw3yuzIOWAVcXLDtPcA/5P177JtvvvlW7Buuj66P4fro2/BuvuJno15E7Ab+CfjwMF62IiK2RsQ+4LfAz9Ptq4GZBfvdFRHdEfECsIGkS8QVwH+S9BSwjOQf+znp/ssjYmMf73c+8EhEtEdEF0n3ircOIefyiNgQEQeBH5Cc/QT4o/SM35PAWcC8fl6/H+gZh/BEwWf7FXC7pA+QFMfeTgbae217ICK2R8Re4EdplrcAP46IVyPilXT7xel7nSdpKkl3o8dJCuHFJIXuwjTzr9Lv8XrgtIL3+ud+Ps+bge+n9/8Ph7+PofjfwKNxZFeXNpL/dJiZlR3XR9fHIXJ9NCA582JWCr5KcrbquwXbuki7K6ddQMYXPLev4H53weNujvy9j17vE4CAD0XE/YVPSLqE5IxmMR31/pJmkZy5PT8idki6neRMa18ORETPMQ6SfraI+KCkC4B3Ak9IOi8ithe8bm8fx+zru+g7dMQBSRtJzjT+GngGuBQ4A2gGTicplEv6OURRv8e0600DydnUQtUkn9XMrFy5PvbN9RHXRzuSr/hZSYiIDuAukoHgPTaRdLUAuIqkK8NwXSupIh3XMBt4Drgf+Asdnv3qTEmTBjnOcuBtkuqVDMheAvxiCO+/SNKstDD/R+CXJF13XgV2pWMS3lGw/x5gymAHlXR6RCyLiJtJzlye0muX5znyzC7A2yWdkI4RuIbkrOhjwDWSJqbfwR+m20h/fpKky8pjwAeBJ9NC+xvgIklnpHkmSTpz8K+DXwPXpfffU/BeA33W9wO/DyyJiO5eT59J0i3HzKwsuT4e4vp49Gd1fbQjuOFnpeRvSPrG9/gWSTF5mqQLxLGcJdtMUpR+BnwwIjqBb5MMTl8laQ3wTQa5Oh4RW4GbgIeBp0nGB/x0CO+/AvgayVnAjSTdRp4m6cKyjqRbx68K9r8VuE+DT3395Z6B9CTF4uleeV8FfttTeFLLgR+SnJ38YUSsjIhVJGM9lpN06/l2RDyZ7v8YSZeYxyOilWQ8xmPp8dtJznb+QNIzJF1d5g7h+/gQ8J/T1/wpyZiTwXwDOAl4PB3cfnPBc5eSzF5mZlbOXB9dH/vi+mhH0OGr4GY2ktKuMZ+MiFxm1ZL0h8B5EfEZSe8lGWB/Yx5ZspCeDf5+RCzOO4uZmQ2d62O2XB/HLo/xMxujIuLHkqbnnSNDpwKfyDuEmZmVFtdHK1e+4mdmZmZmZlbmPMbPzMzMzMyszLnhZ2ZmZmZmVubc8DMzMzMzMytzbviZmZmZmZmVOTf8zMzMzMzMytz/B5k22qyS6uZ5AAAAAElFTkSuQmCC\n","text/plain":["<Figure size 1080x576 with 4 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"colab_type":"text","id":"85jAttMgblaY"},"source":["We can now run some tests.\n","\n","(i) Compute Monte Carlo and formula prices for a large range of inputs for each of the options above. \n","They should all agree up to the degree of convergence of the Monte Carlo.\n","\n","\n","If the above tests worked, we can be reasonably confident in both our Black-Scholes functions and in our Monte Carlo engine."]},{"cell_type":"code","metadata":{"id":"nZEKl0l7hCGt","colab_type":"code","outputId":"4d7bb7ce-4660-485e-a15a-cd684e85695f","executionInfo":{"status":"ok","timestamp":1591165999311,"user_tz":-480,"elapsed":18749,"user":{"displayName":"Hong Wai Ng","photoUrl":"","userId":"05894942200778855220"}},"colab":{"base_uri":"https://localhost:8080/","height":348}},"source":["# Compare analytical price and Monte Carlo price of the European call option for different inputs\n","# To test other types of options, change option_type and Option class (line 18)\n","# option_type = 'put'\n","\n","option_types = ('European call', 'European put', 'Binary call', 'Binary put')\n","loop = 50\n","num_paths = 20\n","diff = {key: [0] * loop for key in option_types} \n","\n","face_value = 1\n","\n","# monte carlo values\n","mc = {}\n","\n","f, ax = plt.subplots(2,2, figsize = (15,8))\n","\n","for i in range(loop):\n"," S0 = randint(1,100)\n"," K = randint(1,100)\n"," r = random()\n"," d = random()\n"," sigma = random()\n"," T = random()\n"," \n"," c = Option(S0, K, r, d, sigma, T).european_call()\n"," p = Option(S0, K, r, d, sigma, T).european_put()\n"," b_c = Option(S0, K, r, d, sigma, T).binary_call(face_value)\n"," b_p = Option(S0, K, r, d, sigma, T).binary_put(face_value)\n"," \n"," bs = [c, p, b_c, b_p]\n"," \n"," for j, option_type in enumerate(option_types):\n"," mc[option_type] = [0] * (num_paths -1 )\n","\n"," for num_path in range(1, num_paths):\n"," ST = GBM_formula(S0, r, d, sigma, T, 2**num_path)\n"," payoff = np.exp(- r * T) * PayOff(option_type, K)(ST)\n"," mc[option_type][num_path - 1] = monte_carlo(payoff)\n","\n"," diff[option_type][i] = bs[j] - mc[option_type][-1] \n","\n","\n","for k, option_type in enumerate(option_types):\n"," ax[k//2,k%2].plot(diff[option_type], label = option_type)\n"," ax[k//2,k%2].axhline(0, c = 'r')\n"," ax[k//2,k%2].set_xlabel('Number of loops')\n"," ax[k//2,k%2].set_ylabel('Black-Scholes prices - MC values')\n"," ax[k//2,k%2].legend()"],"execution_count":7,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 1080x576 with 4 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"hCrqb5kBhCG1","colab_type":"text"},"source":["From graphs above, it seems that differences for all options above are very small (negligible). \n","So, we are confident that our Monte Carlo pricer is correct."]},{"cell_type":"markdown","metadata":{"colab_type":"text","id":"I70HA9YWblay"},"source":["## Investigations"]},{"cell_type":"markdown","metadata":{"colab_type":"text","id":"Nql-KUwsblaz"},"source":["We can now use these routines to do some investigations.\n","\n","How does the Black-Scholes price of a call option vary as a function of volatility? \n","What happens when volatility is zero, or volatility is very large?"]},{"cell_type":"code","metadata":{"colab_type":"code","id":"cqjDYiK2bla6","outputId":"19eac51a-42e8-4813-c6cc-a1cb6d9bfa31","executionInfo":{"status":"ok","timestamp":1591165999317,"user_tz":-480,"elapsed":6256,"user":{"displayName":"Hong Wai Ng","photoUrl":"","userId":"05894942200778855220"}},"colab":{"base_uri":"https://localhost:8080/","height":254}},"source":["show_asymptote = True\n","\n","sigma_upper = 100\n","x = np.linspace(1, sigma_upper, sigma_upper)\n","\n","S = 110\n","K = 100\n","r = 0.05\n","d = 0.05\n","T = 1\n","\n","f, ax = plt.subplots(1, 2, figsize = (15,5))\n","\n","\n","y_no_div_inv = [Option(S, K, r, 0, 1 / sigma, T).european_call() for sigma in range(1, sigma_upper + 1)]\n","S_no_div_inv = [np.exp(-r*T) * np.max( (S * np.exp(r * T) - K ), 0 )] * sigma_upper\n","\n","y_with_div_inv = [Option(S, K, r, d, 1 / sigma, T).european_call() for sigma in range(1, sigma_upper + 1)]\n","S_with_div_inv = [np.exp(-r*T) * np.max( (S * np.exp( (r-d) * T) - K ), 0 )] * sigma_upper\n","\n","\n","y_no_div = [Option(S, K, r, 0, sigma, T).european_call() for sigma in range(1, sigma_upper + 1)]\n","S_no_div = [S] * sigma_upper\n","\n","y_with_div = [Option(S, K, r, d, sigma, T).european_call() for sigma in range(1, sigma_upper + 1)]\n","S_with_div = [S * np.exp(-d*T)] * sigma_upper\n","\n","\n","starting_value = 0\n","\n","ax[0].plot(x[starting_value:], y_no_div_inv[starting_value:], label='No dividend')\n","ax[0].plot(x[starting_value:], y_with_div_inv[starting_value:], label='With dividend')\n","if show_asymptote:\n"," ax[0].plot(x[starting_value:], S_no_div_inv[starting_value:], label='Stock price without dividend')\n"," ax[0].plot(x[starting_value:], S_with_div_inv[starting_value:], label='Stock price with dividend')\n","ax[0].set_xlabel('1 / volatility')\n","ax[0].set_ylabel('European Call option value')\n","ax[0].set_title('Zero volatility')\n","ax[0].legend();\n","\n","\n","ax[1].plot(x[starting_value:], y_no_div[starting_value:], label='No dividend')\n","ax[1].plot(x[starting_value:], y_with_div[starting_value:], label='With dividend')\n","if show_asymptote:\n"," ax[1].plot(x[starting_value:], S_no_div[starting_value:], label='Stock price without dividend')\n"," ax[1].plot(x[starting_value:], S_with_div[starting_value:], label='Stock price with dividend')\n","ax[1].set_xlabel('Volatility')\n","ax[1].set_ylabel('European Call option value')\n","ax[1].set_title('Infinite volatility')\n","ax[1].legend();"],"execution_count":8,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 1080x360 with 2 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"BPnMD0-phCHA","colab_type":"text"},"source":["Intuitively, if volatility is zero, then stock price behaves like a money market account (riskless bond) since there is no randomness.\n","Therefore, $$S_T = S_0e^{ (r-d)T}$$\n","Since there is no randomness in $e^{-rT} (S_0 e^{ (r-d)T} - K)^+,$ so the expectation operator does nothing. \n","It follows that the risk-neutral pricing of European call option is\n","$$\\text{European call option value } = \\mathbb{E}[ e^{-rT} (S_T - K)^+] = \\mathbb{E}[ e^{-rT} (S_0 e^{ (r-d)T} - K)^+] = e^{-rT} (S_0 e^{ (r-d)T} - K)^+ $$\n","\n","\n","On the other hand, as volatility tends to infinity, European call option value will tend to $S_0e^{-dT}$."]},{"cell_type":"markdown","metadata":{"colab_type":"text","id":"mwHbJ597blbG"},"source":["## Stepping methods (Euler-Maruyama)"]},{"cell_type":"markdown","metadata":{"colab_type":"text","id":"FHRFpdfUblbG"},"source":["One further thing to implement is an alternative engine based on Euler stepping.\n","Divide the time, $T$, into a large number of steps, $N$. \n","Let $$\\Delta T = \\frac{T}{N}.$$\n","Evolve the stock price across each step by\n","$$S_{(j+1)\\Delta T} = S_{j\\Delta T} + (r-d)S_{j\\Delta T}\\Delta T + S_{j\\Delta T} \\sigma \\sqrt{\\Delta T}W_j,$$\n","where the $W_j$ are independent normal variables. \n","Running up to the last step this gives an alternate way of generating the final stock value. \n","Use this to develop pricers for the basic options above. \n","The engine will need as inputs the number of steps and the number of paths."]},{"cell_type":"code","metadata":{"id":"NAsiobSnhCHE","colab_type":"code","outputId":"ffea7512-3149-46ce-fc5c-c3c2460cdf3d","executionInfo":{"status":"ok","timestamp":1591166008622,"user_tz":-480,"elapsed":8522,"user":{"displayName":"Hong Wai Ng","photoUrl":"","userId":"05894942200778855220"}},"colab":{"base_uri":"https://localhost:8080/","height":499}},"source":["S0 = 120\n","T = 1\n","K = 100\n","r = 0.05\n","d = 0\n","sigma = 0.25\n","face_value = 1\n","\n","option_types = ('European call', 'European put', 'Binary call', 'Binary put')\n","\n","# Black-Scholes prices\n","opt = Option(S0, K, r, d, sigma, T)\n","BS = [opt.european_call(), opt.european_put(), opt.binary_call(face_value), opt.binary_put(face_value)]\n"," \n","\n","num_paths = 17\n","num_steps = 100\n","\n","# monte carlo values\n","mc_values = {}\n","\n","\n","for option_type in option_types:\n"," mc_values[option_type] = black_scholes_monte_carlo_pricer(option_type, S0, K, r, d, sigma, T, num_steps, num_paths, True)\n"," \n","f, ax = plt.subplots(2,2, figsize = (15,8))\n","\n","for i, option in enumerate(option_types):\n"," ax[i//2, i%2].plot(mc_values[option], label = option + ' (Monte Carlo)')\n"," ax[i//2, i%2].axhline(mc_values[option][-1], label = 'final mc value: ' + str(mc_values[option][-1]), c = 'g')\n"," ax[i//2, i%2].axhline(BS[i], label = 'True value:' + str(BS[i]), c = 'r')\n"," ax[i//2, i%2].set_xlabel('Number of paths (power of 2)')\n"," ax[i//2, i%2].set_ylabel('Monte Carlo values')\n"," ax[i//2, i%2].legend()"],"execution_count":9,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAA34AAAHiCAYAAAC3Eh4FAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+j8jraAAAgAElEQVR4nOzdeVxV1fr48c9iUBAHEMEBTDRUEDgg4nwdMefIqdIsNS2b7tVmrW5Z/W43y7paedVbllN+1dQcbtrggDlkDpiaCs6o4ASIIjLD+v1xYF9mEI8exOf9evHqnD2s/Zxt5zx7rb32WkprjRBCCCGEEEKIqsvG2gEIIYQQQgghhLi9pOInhBBCCCGEEFWcVPyEEEIIIYQQooqTip8QQgghhBBCVHFS8RNCCCGEEEKIKk4qfkIIIYQQQghRxUnFTwghhKhklFK2Sqk/lFI/FLOuulJqmVLqhFJql1LK685HKIQQ4m5TKSp+hROcUmq+Uuq0Ump/7l+QtWMUQggh7qCJQGQJ68YBiVprb2A68NEdi0oIIcRdy87aAeTKS3C18y17TWu9orwF1KtXT3t5eVk6LiGEEJVQREREvNbazdpx3A5KKU9gAPAB8HIxmzwEvJv7egUwUymltNa6pDIlRwohxL2htPxo9YpfORJcuXh5ebF3716LxSWEEKLyUkqdsXYMt9EM4HWgVgnrPYBzAFrrLKXUNcAViC+pQMmRQghxbygtP1aGrp55CS6n0PIPlFIHlVLTlVLVrRCXEEIIcUcppQYCl7XWERYoa7xSaq9Sam9cXJwFohNCCHE3s2rFr5QE9wbgA7QF6gKTSthfkpoQQoiqpDMQppSKBpYCPZVS3xbaJhZoDKCUsgPqAAmFC9Jaf6m1DtFah7i5VclesUIIIW6Cte/4FZvgtNYXtFk6MA9oV9zOktSEEEJUJVrrN7TWnlprL2A4sFlr/XihzdYCo3NfD8vdpsTn+4QQQgiw8jN+Wus3MN/dQynVHXhVa/24Uqqh1vqCUkoBg4BDVgxTCDIzM4mJiSEtLc3aoQhxT3FwcMDT0xN7e3trh2JVSqn3gb1a67XA18AipdQJ4ArmCqIQlY7kTiFun4rkR6sP7lKCxUopN0AB+4FnrRyPuMfFxMRQq1YtvLy8MLdHCCFuN601CQkJxMTE0LRpU2uHc8dprbcAW3Jfv5NveRrwsHWiEqL8JHcKcXtUND9WmopfoQTX06rBCFFIWlqaJC4h7jClFK6ursgz3ELcnSR3CnF7VDQ/WvsZv0ojLTObPtO3smhntLVDEZWUJC4h7jz53glx8yIvJDFm3m5upGdZOxT5Dgtxm1TkuyUVv1wO9racv5rKybgb1g5FiGLZ2toSFBRk/E2dOtXaId0RXl5exMebpyerWbNmsdukpqbSrVs3srOziY6ORinF3//+d2N9fHw89vb2/PWvf61QDNHR0fzf//3fTe938eJFhg8fzv3330+bNm3o378/x44du6ky8n/+4mRkZNC1a1eysqx/gSeEqBy2Hotjy9E4fj0md8vv1dwJ8M9//rPEdVprevbsSVJSEmCuRDz++P/GkcrKysLNzY2BAwdW6NhXr15l1qxZN71fcnIyzzzzjJE3u3fvzq5du26qjO7du5c5b2mvXr1ITEy86fjudlLxy6eRsyMxianWDkOIYjk6OrJ//37jb/LkyeXet6pXCr755huGDBmCra0tAE2bNmXdunXG+uXLl+Pn51fh8itS8dNaM3jwYLp3787JkyeJiIjgww8/5NKlS+XePyen8PSmRVWrVo3Q0FCWLVt2U/EJIaquvGuZTZGXrRyJ9d3LubO0it/69esJDAykdu3aADg5OXHo0CFSU83/72zYsAEPD48KH7uiFb+nnnqKunXrcvz4cSIiIpg3b16pjZ+FZWdnl2u7J554okLx3e2k4pePh4sjsVel4ifuLvnvCO3du5fu3bsD8O677/LEE0/QuXNnnnjiCaKjo+nZsycmk4nQ0FDOnj0LwJgxY3j22WcJCQmhRYsW/PDDD4D5x/O1116jbdu2mEwm/vOf/wDm1rjQ0FCCg4MJCAhgzZo1gLly5Ovry9NPP42fnx+9e/c2Ekh+ly5dYvDgwQQGBhIYGMhvv/0GwKBBg2jTpg1+fn58+eWXN3UOFi9ezEMPPWS8r1GjBr6+vkaL37Jly3jkkUeM9aWdiwkTJtCpUyeaNWvGihUrAJg8eTLbtm0jKCiI6dOnl3hu8gsPD8fe3p5nn/3f2FSBgYF06dKl1HPYsmVLRo0ahb+/P+fOnStQ5r/+9S/8/f3x9/dnxowZxvJBgwaxePHimzpnQoiqK+9aJvzoZbJzZKaP4txtubOk482fP79Ab5aBAweyZcsWJk+eTGpqKkFBQYwcObJIeYXzJkD//v2NRtMlS5YwYsQIY92VK1cYNGgQJpOJDh06cPDgQeN8jR07lu7du9OsWTM+//xzwJw3T548SVBQEK+99hoA06ZNM87LlClTisR08uRJdu3axT/+8Q9sbMxVlKZNmzJgwACg5OuEmjVr8sorrxAYGMjOnTsLlLlkyRICAgLw9/dn0qT/TQseFhbGkiVLisRQ1VWawV0qAw9nRyLO3Hu3fcXNee+/hzlyPsmiZbZqVJspD5Z+RyrvBzzPG2+8waOPPlrqPkeOHGH79u04Ojry4IMPMnr0aEaPHs0333zDhAkTWL16NWBOPLt37+bkyZP06NGDEydOsHDhQurUqcOePXtIT0+nc+fO9O7dm8aNG7Nq1Spq165NfHw8HTp0ICwsDIDjx4+zZMkSvvrqKx555BFWrlxZoOsIwIQJE+jWrRurVq0iOzub5ORkwHzXrm7duqSmptK2bVuGDh2Kq6trmecuIyODU6dO4eXlVWD58OHDWbp0KfXr18fW1pZGjRpx/vx5AP72t7+VeC4uXLjA9u3biYqKIiwsjGHDhjF16lQ++eQTI9F++eWXxZ6b/CNrHTp0iDZt2hQbs4ODQ6nncMGCBXTo0KHAPnktn7t27UJrTfv27enWrRutW7fG39+fPXv2lHmuhBD3htjEVBzsbbhyI4P9567SpomLtUOS3HmLubOk45Vk6tSpzJw5k/379xe7fseOHUUaLYcPH87777/PwIEDOXjwIGPHjmXbtm0ATJkyhdatW7N69Wo2b97MqFGjjLKjoqIIDw/n+vXrtGzZkueee46pU6dy6NAhY5tffvmF48ePs3v3brTWhIWFsXXrVrp27Woc//DhwwQFBRm9dwor6Trhxo0btG/fnk8//bTA9ufPn2fSpElERETg4uJC7969Wb16NYMGDcLFxYX09HQSEhLKda1RVUjFLx8PF0eupWaSnJ5FzepyakTlktdd5WaEhYXh6OgIwM6dO/n+++8BcxeH119/3djukUcewcbGhubNm9OsWTOioqL45ZdfOHjwoHHX69q1axw/fhxPT0/efPNNtm7dio2NDbGxsUb3xaZNmxoJtk2bNkRHRxeJafPmzSxcuBAwP3tRp04dAD7//HNWrVoFwLlz5zh+/Hi5fozj4+NxdnYusrxv3768/fbb1K9fv0iSL+1cDBo0CBsbG1q1alVit8ySzk15h1TWWpd4Dps0aVKk0gewfft2Bg8ejJOTEwBDhgxh27ZttG7dGltbW6pVq8b169epVatWuWIQQlRNWmtiElPoH9CQNfvPsznqUqWo+FlLVcmdJR2voq5cuVIkX5hMJqKjo1myZAn9+/cvsG779u2sXLkSgJ49e5KQkGA8HzhgwACqV69O9erVcXd3LzZ3/vLLL/zyyy+0bt0aMN8BPX78eIGKX1lKuk6wtbVl6NChRbbfs2cP3bt3x83NDYCRI0eydetWBg0aBIC7uzvnz5+Xit+9ysPZ/CWPTUylZQO5eBLFK6t18U6zs7MzngUrPEluXiWhLIVHhlJKobXmiy++oE+fPgXWzZ8/n7i4OCIiIrC3t8fLy8s4bvXq1Y3tbG1ti+2uUpwtW7awceNGdu7cSY0aNejevXu5J/x1dHQsdttq1arRpk0bPv30U44cOcLatWvLVV7+z6B18V2kSjo3+fn5+RmJv7DFixeXeA7L+29WWHp6Og4ODhXaVwhRdVxLzeRGRjatGtbm/NVUNkVe5rU+PtYOS3KnBXJnccfL/zmK+ywlydsvr0tlnrCwMF599VW2bNlCQkJCucoqHH9xz0ZqrXnjjTd45plnSizHz8+PAwcOkJ2dXeSuX2nXCQ4ODiXeJSxNWlqaUcG/V8gzfvk0yqv4XU2xciRClJ+XlxcREREARmtccTp16sTSpUsBc8WjS5cuxrrly5eTk5PDyZMnOXXqFC1btqRPnz7Mnj2bzMxMAI4dO8aNGze4du0a7u7u2NvbEx4ezpkzZ24q3tDQUGbPng2Yn4W4du0a165dw8XFhRo1ahAVFcXvv/9e7vJcXFzIzs4uNtm98sorfPTRR9StW7fc56I4tWrV4vr168b7ks5Nfj179iQ9Pb3AcwgHDx5k27ZtFTqHXbp0YfXq1aSkpHDjxg1WrVplxJ2QkEC9evWwt7cvsxwhRNWWN7CLp4sjoT71ibp4nZhEua4p7G7LnSUdz8vLi/3795OTk8O5c+fYvXu3sb29vb0RR2EtW7bk1KlTRZaPHTuWKVOmEBAQUGB5ly5djGfJt2zZQr169YyBYYpTXN785ptvjMc7YmNjuXy54OBD999/PyEhIUyZMsVoeI2OjmbdunUVuk5o164dv/76K/Hx8WRnZ7NkyRK6desGmCuiFy9eLPKYSFUnd/zy8XTJq/iVr7VEiDup8HMKffv2ZerUqUyZMoVx48bx9ttvGw+nF+eLL77gySefZNq0abi5uTFv3jxj3X333Ue7du1ISkpizpw5ODg48NRTTxEdHU1wcDBaa9zc3Fi9ejUjR47kwQcfJCAggJCQEHx8bq4l+bPPPmP8+PF8/fXX2NraMnv2bPr27cucOXPw9fWlZcuWxXZ1LE3v3r3Zvn07vXr1KrDcz8+v2NE8SzsXxTGZTNja2hIYGMiYMWOYOHFisecmP6UUq1at4sUXX+Sjjz7CwcEBLy8vZsyYUaFzGBwczJgxY2jXrh1gHvksr8tMeHi48fC7EOLellfx83CuQfP6tfhgfSThUZd5oqOXdQOzkqqSO0s6XufOnWnatCmtWrXC19eX4OBgY/vx48djMpkIDg4uMgDYgAED2LJlC97e3gWWe3p6MmHChCLHzhvExWQyUaNGDRYsWFBqrK6urnTu3Bl/f3/69evHtGnTiIyMpGPHjoB5QJZvv/0Wd3f3AvvNnTuXV155BW9vbxwdHalXrx7Tpk3DZDLd9HVCw4YNmTp1Kj169EBrzYABA4wBbSIiIujQoQN2dvdWVUiV1JXpbhMSEqLLmrOjLDk5Gp+3f2LsX5oyuZ/1u0WIyiMyMhJfX19rh3FbjBkzhoEDBzJs2DBrh1Jh+/btY/r06SxatMjaoVjFkCFDmDp1Ki1atLB2KLdFcd8/pVSE1jrESiHddSyRI8Xd4evtp/l/Pxzhj7cfwLmGPT0+2YJXPSfmP9nujsciubPyHu/ChQuMGjWKDRs2WKS8u83EiRMJCwsjNDTU2qHckpvNj9LVMx8bG0VDZweZ0kGIu0xwcDA9evQo9/w9VUlGRgaDBg2qspU+IcTNiU1MpUY1W5xr2KOUItS3Pr+dTCAl4+6ek05YVsOGDXn66aeNAVruNf7+/nd9pa8i7q37m+Xg4exIrPSFF/eQ+fPnWzsEixg7dqy1Q7CKatWqMWrUKGuHIYSoJGISU/BwdjQGAgn1cefr7afZfjye3n4NrBxd1XGnc+ftOF7++W3vNU8//bS1Q7AKueNXSCNnmcRdCCGEEHen2KupxpgFACFedalV3Y7NUZdL2UsIcS+Qil8hHs6OXL6eTkZWTtkbCyGEEEJUIrFXU/HIV/GrZmdD1xZubI66TE5O1RjXQQhRMVLxK8TDxRGt4eI1GdlTCCGEEHeP5PQsrqZk4uFco8DyUF93Ll9P5/D5e/N5LiGEWaWo+CmlbJVSfyilfsh931QptUspdUIptUwpVe1OxeKZO5dfjMzlJ4QQQoi7SGy+Ofzy697SHaVgU9Qla4QlhKgkKkXFD5gIROZ7/xEwXWvtDSQC4+5UIHndI/J+PIWoLD7//HN8fX0ZOXIka9euZerUqRUuq2bNmhaM7NZ1794dSw81f+7cOXr06EGrVq3w8/Pjs88+M9Y9+uijBAUFERQUhJeXV4E5nvKkpaXRrl07AgMD8fPzY8qUKca6kSNH0rJlS/z9/Rk7dqwxQe7ixYsxmUwEBATQqVMnDhw4UGYsb7/9NiaTiaCgIHr37s358+dLLevo0aNG7EFBQdSuXZsZM2YAcOXKFR544AGaN2/OAw88QGJiImCeqHbChAl4e3tjMpnYt2+fcfxJkybh7++Pv78/y5YtK/MzRkVF0bFjR6pXr84nn3xS4JxdvXqVYcOG4ePjg6+vLzt37gTMkw77+flhY2NT7L/z2bNnqVmzZpHyhBA3Jza30dqjUMWvrlM1gu9zYVPkvfecn+TOm1Navspvy5Yt1KlTx8hF77//PlB67pw5cybe3t4opYiPjzeWr1mzxsiDISEhbN++HYD9+/fTsWNH/Pz8MJlMBXLUuHHjCAwMxGQyMWzYMGNi+K1btxIcHIydnR0rVqwoEHPfvn1xdnZm4MCBBZaXlO9KiitPUlISnp6e/PWvfzWWLVu2DJPJhJ+fH5MmTSqw/XfffWec18ceewwwz8ObP6c7ODgUmRd4woQJlvt/T2tt1T/AE9gE9AR+ABQQD9jlru8I/FxWOW3atNGWkJaZpZtM+kFP33DUIuWJquHIkSPWDkG3bNlSnzt3ziJlOTk5WaQcS+nWrZves2ePRcs8f/68joiI0FprnZSUpJs3b64PHz5cZLuXX35Zv/fee0WW5+Tk6OvXr2uttc7IyNDt2rXTO3fu1FprvW7dOp2Tk6NzcnL08OHD9axZs7TWWu/YsUNfuXJFa631+vXrdbt27cqM5dq1a8YxP/vsM/3MM8+UWlZ+WVlZun79+jo6OlprrfVrr72mP/zwQ6211h9++KF+/fXXjXj79u2rc3Jy9M6dO42yfvjhB92rVy+dmZmpk5OTdUhIiBFPSZ/x0qVLevfu3frNN9/U06ZNKxDPqFGj9FdffaW11jo9PV0nJiZqrc3fn6ioqBL/nYcOHaqHDRtWpLw8xX3/gL3ayvnrbvqzVI4UldvC307rJpN+0JeupRZZN3Pzcd1k0g/6YjHrbhfJnbeXNXNneHi4HjBgQJHlpeXOffv26dOnT+smTZrouLg4Y5/r16/rnJwcrbXWBw4c0C1bttRaa3306FF97NgxrbXWsbGxukGDBkZeyZ87X3rpJSP3nT59Wh84cEA/8cQTevny5QVi27hxo167dm2RuEvKdyXFlWfChAl6xIgR+oUXXtBaax0fH68bN26sL1++rLU258SNGzdqrbU+duyYDgoKMvL6pUuXipy7hIQE7eLiom/cuGEs27Nnj3788cdL/H/vZvNjZbjjNwN4HcgbTcUVuKq1zptwJgbwuFPBVLezxb1Wdc7LyJ6iEnn22Wc5deoU/fr1Y/r06cyfP99oYRozZgwTJkygU6dONGvWzGjhSk5OJjQ0lODgYAICAlizZk2px4iOjsbHx4cxY8bQokULRo4cycaNG+ncuTPNmzdn9+7dRrlPPvkkAQEBmEwmVq5cWaCcn376iYcffth4v2XLFqN17bnnniMkJKRIK2B++Vu1VqxYwZgxYwCIi4tj6NChtG3blrZt27Jjx45SP0/Dhg0JDg4GoFatWvj6+hIbG1tgG6013333HSNGjCiyv1LKiCUzM5PMzExjePT+/fujlEIpRbt27YiJiQGgU6dOuLi4ANChQwdjeWmx1K5d2zjmjRs3jGOUVFZ+mzZt4v7776dJkyaAuXVy9OjRAIwePdpoNVyzZg2jRo1CKUWHDh24evUqFy5c4MiRI3Tt2hU7OzucnJwwmUz89NNPpX5Gd3d32rZti729fYFYrl27xtatWxk3ztxBo1q1ajg7OwPg6+tLy5Yti/tnYvXq1TRt2hQ/P79i1wshyi8mMZVqtjbUq1m9yLpevvUBCL+HRveU3Hl7cmdpSsudrVu3xsvLq9jY87bJnwdbtGhB8+bNAWjUqBHu7u7ExcUB/8udWmtSU1ONfby8vDCZTNjYFK3ihIaGUqtWrSLLS8p3JcUFEBERwaVLl+jdu7ex7NSpUzRv3hw3NzcAevXqZfw7f/XVV7zwwgtGXnd3dy8Sx4oVK+jXrx81apif0c3Ozua1117j448/LrJtRVl1Hj+l1EDgstY6QinVvQL7jwfGA9x3330Wi8vDRaZ0ECV78acX2X9xv0XLDGoQxIy+M0pcP2fOHH766SfCw8OpV69ekfl8Lly4wPbt24mKiiIsLIxhw4bh4ODAqlWrqF27NvHx8XTo0IGwsLACP1yFnThxguXLl/PNN9/Qtm1b/u///o/t27ezdu1a/vnPf7J69Wr+3//7f9SpU4c///wTwOhOmKdXr16MHz+eGzdu4OTkxLJlyxg+fDgAH3zwAXXr1iU7O5vQ0FAOHjyIyWQq1zmaOHEiL730En/5y184e/Ysffr0ITIykr179zJnzhzmzp1b4r7R0dH88ccftG/fvsDybdu2Ub9+fSOxFJadnU2bNm04ceIEL7zwQpH9MzMzWbRoUbFdYb7++mv69etXrljeeustFi5cSJ06dQgPDy93WUuXLi1Qab106RINGzYEoEGDBly6ZH6eJzY2lsaNGxvbeXp6EhsbS2BgIO+99x6vvPIKKSkphIeH06pVq3J/xvxOnz6Nm5sbTz75JAcOHKBNmzZ89tlnODk5lbhPcnIyH330ERs2bJBunrmUUg7AVqA65hy9Qms9pdA2Y4BpQN7V2EytdclfAHHPiMkd0dPGpujvfIv6NfFwdmRT1GWGt7PcNVN5Se6sOrkzz86dOwkMDKRRo0Z88sknRgNeWbmzOKtWreKNN97g8uXLrFu3rsj63bt3k5GRwf33328se/LJJ1m/fj2tWrXi008/LfMYZSku3xUXV05ODq+88grffvstGzduNLb19vbm6NGjREdH4+npyerVq8nIyADg2LFjAHTu3Jns7Gzeffdd+vbtW+D4S5cu5eWXXzbez5w5k7CwMCOvW4K17/h1BsKUUtHAUszdPT8DnJVSeZVST/6X3ArQWn+ptQ7RWofk1a4twTyJu1T8xN1j0KBB2NjY0KpVK+NiX2vNm2++iclkolevXsTGxhrrStK0aVMCAgKwsbHBz8+P0NBQlFIEBAQQHR0NwMaNG3nhhReMffJar/LY2dnRt29f/vvf/5KVlcW6det46KGHAHP/9uDgYFq3bs3hw4c5cuRIuT/jxo0b+etf/0pQUBBhYWEkJSWRnJxMSEhIqYkrOTmZoUOHMmPGjAJ31wCWLFlS7N2+PLa2tuzfv5+YmBh2797NoUOHCqx//vnn6dq1K126dCmwPDw8nK+//pqPPvqoXLF88MEHnDt3jpEjRzJz5sxylZWRkcHatWsLtBDnl9d6WZrevXvTv39/OnXqxIgRI+jYsSO2trbl+oyFZWVlsW/fPp577jn++OMPnJycynyW5t133+Wll16qdM/NWFk60FNrHQgEAX2VUh2K2W6Z1joo908qfQIwj0/g4exY7DqlFKG+7mw/Hk9aZvYdjqxyktxZsdwJEBwczJkzZzhw4AB/+9vfGDRokLGurNxZnMGDBxMVFcXq1at5++23C6y7cOECTzzxBPPmzStwJ2/evHmcP38eX1/fAs//VVRx+a64uGbNmkX//v3x9PQssL+LiwuzZ8/m0UcfpUuXLnh5eRk5NSsri+PHj7NlyxaWLFnC008/zdWrVwt8xj///JM+ffoAcP78eZYvX87f/va3W/5c+Vn1jp/W+g3gDYDcO36vaq1HKqWWA8MwVwZHA6XfZ7cwDxdHfjl8iZwcXWyrmbi3lda6aC3Vq/+vW4+5e7d5cJC4uDgiIiKwt7fHy8uLtLTSpynJX46NjY3x3sbGhqysrJJ2K2L48OHMnDmTunXrEhISQq1atTh9+jSffPIJe/bswcXFhTFjxhQbT/7KSv71OTk5/P777zg4OJQ7jszMTIYOHcrIkSMZMmRIgXVZWVl8//33RERElFmOs7MzPXr04KeffsLf3x+A9957j7i4OP7zn/8U2PbgwYM89dRT/Pjjj7i6upYrljwjR46kf//+vPfee6WWBfDjjz8SHBxM/fr1jWX169fnwoULNGzYkAsXLhhdSTw8PDh37pyxXUxMDB4e5h70b731Fm+99RYAjz32GC1atDC2K+kzFsfT0xNPT0+jZXfYsGFlVvx27drFihUreP3117l69So2NjY4ODgUeFD+XpP7fEZy7lv73D+ZfE2US0xiKqE+RbuQ5enp487CnWfYeSqBHi1L3u52kNxZtrshd+bJXxns378/zz//PPHx8dSrV89YXlzuLEvXrl05deqUUVZSUhIDBgzggw8+oEOHom1gtra2DB8+nI8//pgnn3yy3J+xsLLyXf64du7cybZt25g1axbJyclkZGRQs2ZNpk6dyoMPPsiDDz4IwJdffmlU/PLyo729PU2bNqVFixYcP36ctm3bAubK/eDBg43HKP744w9OnDiBt7c3ACkpKXh7e3PixIkKf0aw/h2/kkwCXlZKncD8zN/Xd/LgHs6OZGTnEJ+cficPK4RFXbt2DXd3d+zt7QkPD+fMmTMWKfeBBx7g3//+t/G+cHcVgG7durFv3z6++uoro6tKUlISTk5O1KlTh0uXLvHjjz8WW379+vWJjIwkJyeHVatWGct79+7NF198Ybzfv7/0LkNaa8aNG4evr2+BrhN5Nm7ciI+PT5EWuzxxcXFGa1xqaiobNmzAx8cHgLlz5/Lzzz+zZMmSAq2PZ8+eZciQISxatKhABaq0WI4fP268XrNmjXGMksrKU9zdyrCwMBYsWADAggULjNbisLAwFi5ciNaa33//nTp16tCwYUOys7NJSEgAzJXMgwcPGs8rlPQZS9KgQeo7ErYAACAASURBVAMaN27M0aNHAfPzh4W7jRa2bds2oqOjiY6O5sUXX+TNN9+8pyt9eXKnONoPXAY2aK13FbPZUKXUQaXUCqVU42LWi3tMWmY28cnpRaZyyK9DM1dqVLNl8z04umd5Se4sPXfmuXjxolFZ3r17Nzk5Obi6upaaO0ty4sQJo6x9+/aRnp6Oq6srGRkZDB48mFGjRjFs2LACMeZVgLTWrF27tsxjlKakfFdSXIsXL+bs2bNER0fzySefMGrUKKOh8/Jl83crMTGRWbNm8dRTTwHmu8tbtmwBID4+nmPHjtGsWTPjWIVz+oABA7h48aKRI2vUqHHLlT6oRBU/rfUWrfXA3NentNbttNbeWuuHtdZ3tAaW101CnvMTd7ORI0eyd+9eAgICWLhw4S39KOb397//ncTERPz9/QkMDCz2mTRbW1sGDhzIjz/+aDycHhgYSOvWrfHx8eGxxx6jc+fOxZY/depUBg4cSKdOnQr0a//888/Zu3cvJpOJVq1aMWfOHAD27t1r/LDmt2PHDhYtWsTmzZuNYZLXr19vrC/8fByYu1b0798fMHe76NGjByaTibZt2/LAAw8Yn+XZZ5/l0qVLdOzYscAw1u+//z4JCQk8//zzxvDPZcUyefJk/P39MZlM/PLLL8azBSWVBeaHzDds2FCkJXby5Mls2LCB5s2bs3HjRiZPngyYW2ObNWuGt7c3Tz/9NLNmzQLMrbpdunShVatWjB8/nm+//RY7O7tSP+PFixfx9PTkX//6F//4xz/w9PQkKck8KfQXX3zByJEjMZlM7N+/nzfffBMwPyPh6enJzp07GTBggNGVRRRPa52ttQ7C/KhDO6VU4aby/wJeWmsTsAFYUFw5SqnxSqm9Sqm9eQMiiKorb1C6wlM55Odgb8tfvOuxOeqycUErCpLcWXK+mjNnjrH/ihUrjM8yYcIEli5dilKq1Nz5+eef4+npSUxMDCaTyTj+ypUr8ff3JygoiBdeeIFly5ahlOK7775j69atzJ8/34hl//79aK0ZPXo0AQEBBAQEcOHCBd555x0A9uzZg6enJ8uXL+eZZ54pMHBYly5dePjhh9m0aROenp78/PPPQMn5rqS4SjNx4kRatWpF586dmTx5stFw26dPH1xdXWnVqhU9evRg2rRpRk+e6Ohozp07R7du3Uot2xJUVfnih4SEaEvNZRJ1MYm+M7Yx87HWDDQ1skiZ4u4WGRmJr6+vtcMQ4p5U3PdPKRWhtQ4pYZcqQyn1DpCitS529BullC1wRWtdp7RyLJkjReW09Vgco77ZzbLxHWjfzLXE7ZbtOcuklX/y48Qu+DYs+uyWJUnuFOL2utn8WGnu+FUmxh0/GeBFCCHEHaSUclNKOee+dgQeAKIKbZN/iLcwIPLORSgqq7xeSp51a5S6Xd6zfZvvoWkdhBBmUvErRi0He2o52ElXTyGEEHdaQyBcKXUQ2IP5Gb8flFLvK6XCcreZoJQ6rJQ6AEwAxlgpVlGJxCamYmujqF+r6Bx++bnXdsDkWYdNkaWPVCmEqHqsOqpnZSZTOgghhLjTtNYHgdbFLH8n32tjRGwh8sQkptCgtgN2tmW36Yf61GfGpmMkJKfjWsxk70KIqknu+JXAUyZxF0IIIcRdIvZqaqkjeuYX6uuO1rDlqAz6I8S9RCp+JfBwloqfEEIIIe4OsYmppY7omZ9fo9rUr12dTVHS3VOIe4lU/Erg4eLI9bQsktIyrR2KEEIIIUSJMrNzuJiUhqdz+Sp+Sil6+riz9Vg8GVk5tzk6IURlIRW/EjSSkT1FJZKQkGDMYdOgQQM8PDyM9xkZGVaJqXv37lhiePj9+/fTsWNH/Pz8MJlMLFu2zFjXpUsX43M2atSIQYMGlVhOUlISnp6eBSYAj4iIICAgAG9vbyZMmFBg3qovvvgCHx8f/Pz8eP311wHzJLR5xwsMDCwwCS5AdnY2rVu3NuYkAvOcTy1btsTf35+xY8eSmWluLEpMTGTw4MGYTCbatWvHoUOHjH1++uknWrZsibe3tzHpa34TJkygZs2aRZavXLkSpZRx3hMSEujRowc1a9YsMvH5smXLMJlM+Pn5MWnSpDLLAvMk7nn/FgEBAaSlpRVzpoUQlc3Fa2nkaPB0KX1Ez/x6+tQnOT2LPdFXbmNk1nWv5s785s+fj5ubm/G5586dW+b+mzdvJjg4GH9/f0aPHk1WVhYAixcvxmQyERAQQKdOnThw4ICxz/Tp0/Hz88Pf358RI0YY+WPMmDE0bdq0wDx8AGvWrMFkMhnz1G7fvt0oy9bW1tg+LCyMwsqbIzMyMnjyyScJCAggMDDQmEAdSr4+2L9/Px06dDDi2r17NwBbtmyhTp06Rlx5c/0BfPbZZ/j7++Pn58eMGTMKxFTctYZVaa2rxF+bNm20Je07c0U3mfSD3nD4okXLFXenI0eOWDsEw5QpU/S0adMKLMvMzLzjcXTr1k3v2bPnlss5evSoPnbsmNZa69jYWN2gQQOdmJhYZLshQ4boBQsWlFjOhAkT9IgRI/QLL7xgLGvbtq3euXOnzsnJ0X379tXr16/XWmu9efNmHRoaqtPS0rTWWl+6dElrrfWNGzeMc3n+/Hnt5uZW4Nx++umnesSIEXrAgAHGsnXr1umcnBydk5Ojhw8frmfNmqW11vrVV1/V7777rtZa68jISN2zZ0+ttdZZWVm6WbNm+uTJkzo9PV2bTCZ9+PBho7w9e/boxx9/XDs5ORX4fElJSbpLly66ffv2xnlPTk7W27Zt07Nnzy7wuePj43Xjxo315cuXtdZajxo1Sm/cuLHUsjIzM3VAQIDev3+/UUZWVlaJ5/tOKu77B+zVlSD33C1/ls6RonL57US8bjLpB739eFy590lJz9It3lqv31t7uOyNK0hyZ1F3OnfOmzevQH4oa//s7Gzt6empjx49qrXW+u2339Zz587VWmu9Y8cOfeXKFa211uvXr9ft2rXTWmsdExOjvby8dEpKitZa64cffljPmzdPa6316NGj9fLly4sc//r16zonJ0drrfWBAwd0y5YtjXWF819+N5MjZ86cqceMGaO1Nuf54OBgnZ2drbUu+frggQceMF6vW7dOd+vWTWutdXh4eIHcn+fPP//Ufn5+xvVDaGioPn78uNa65GsNS7rZ/Ch3/EqQ10/+/DW54ycqpzFjxvDss8/Svn17Xn/9dd59910++eR/czz7+/sTHR0NwLfffku7du0ICgrimWeeITs7u0BZP/30Ew8//LDxfsuWLcZdreeee46QkBD8/PyYMmVKsbHkb3lbsWIFY8aMASAuLo6hQ4fStm1b2rZty44dO4rs26JFC5o3bw5Ao0aNcHd3Jy6u4IADSUlJbN68ucQ7fhEREVy6dInevXsbyy5cuEBSUhIdOnRAKcWoUaNYvXo1ALNnz2by5MlUr24ezc7d3TyvVY0aNbCzMw92nJaWhlLKKC8mJoZ169bx1FNPFTh2//79UUqhlKJdu3bExMQAcOTIEXr27AmAj48P0dHRXLp0id27d+Pt7U2zZs2oVq0aw4cPZ82aNYD5juJrr73Gxx9/XOQzvv3220yaNAkHBwdjmZOTE3/5y18KLAM4deoUzZs3x83NDYBevXqxcuXKUsv65ZdfMJlMBAYGAuDq6oqtrW2x51sIUbnkjUngUc6ungCO1WzpdL8rm6IuYb5WvDfcS7mzNCXtn5CQQLVq1WjRogUADzzwgJE/OnXqhIuLCwAdOnQw8h1AVlYWqampZGVlkZKSQqNGjUo9fs2aNY0ce+PGjQL5tiQ3myPz52F3d3ecnZ3Zu3dvqdcHSimSkpIAuHbtWpmfIzIykvbt2xvXD926deP7778HSr7WsCap+JWgnlN1qtnZSFdPUdSLL0L37pb9e/HFCoUSExPDb7/9xr/+9a8St4mMjGTZsmXs2LGD/fv3Y2try+LFiwts06tXL3bt2sWNGzcAczfB4cOHA/DBBx+wd+9eDh48yK+//srBgwfLHd/EiRN56aWX2LNnDytXrjQqTXv37i1SgQJzV8uMjAzuv//+AstXr15NaGgotWvXLrJPTk4Or7zySoHEDRAbG4unp6fx3tPTk9jYWACOHTvGtm3baN++Pd26dWPPnj3Gdrt27TK6Os6ZM8eoCL744ot8/PHH2NgU/7OZmZnJokWL6Nu3LwCBgYHGj//u3bs5c+YMMTExxMbG0rhx42LjmjlzJmFhYTRs2LBA2fv27ePcuXMMGDCg2GMX5u3tzdGjR4mOjiYrK4vVq1dz7ty5Uss6duwYSin69OlDcHBwsYlVCFE5xSSmoBQ0dHYoe+N8evrW50xCCifjbtymyPKR3Fnu+CyVO/OsXLkSk8nEsGHDjFxQ0v716tUjKyvL6C65YsWKYvf5+uuv6devHwAeHh68+uqr3HfffTRs2JA6deoUaIh96623MJlMvPTSS6SnpxvLV61ahY+PDwMGDOCbb74xlqelpRESEkKHDh2MChncfI4MDAxk7dq1ZGVlcfr0aSIiIjh37lyp1wczZszgtddeo3Hjxrz66qt8+OGHxnY7d+4kMDCQfv36cfjwYcDcULBt2zYSEhJISUlh/fr1xvkq7VrDWmQevxLY2Cg8nB2JkZE9RSX28MMPl3lXZtOmTURERNC2bVsAUlNTi7Q62dnZ0bdvX/773/8ybNgw1q1bZ1z4f/fdd3z55ZdkZWVx4cIFjhw5gslkKld8Gzdu5MiRI8b7pKQkkpOTCQkJMZ4zyHPhwgWeeOIJFixYUKRytWTJkmKTHcCsWbPo379/gR/xsmRlZXHlyhV+//139uzZwyOPPMKpU6dQStG+fXsOHz5MZGQko0ePpl+/fmzcuBF3d3fatGlT4BmB/J5//nm6du1Kly5dAJg8eTITJ04kKCiIgIAAWrduXeq/1fnz51m+fHmR8nNycnj55ZeZP39+uT+fi4sLs2fP5tFHH8XGxoZOnTpx8uTJUsvKyspi+/bt7Nmzhxo1ahAaGkqbNm0IDQ0t93GFENYRm5iKe63qVLe7ubv0PX3ceRvYHHUJb/eiz0xVVfdK7gR48MEHGTFiBNWrV+c///kPo0ePZvPmzaXuv3TpUqOS1rt37yLnKjw8nK+//tp4Li8xMZE1a9Zw+vRpnJ2defjhh/n22295/PHH+fDDD2nQoAEZGRmMHz+ejz76iHfeMU9LOnjwYAYPHszWrVt5++232bhxIwBnzpzBw8ODU6dO0bNnTwICAnB0dLzpHDl27FgiIyMJCQmhSZMmdOrUqcx/99mzZzN9+nSGDh3Kd999x7hx49i4cSPBwcGcOXOGmjVrsn79egYNGsTx48fx9fVl0qRJ9O7dGycnJ4KCgoxjlHatYS1S8StFI2cHueMniir04K41OTk5Ga/t7OzIyfnf6Gx5D1ZrrRk9enSBVqviDB8+nJkzZ1K3bl1CQkKoVasWp0+f5pNPPmHPnj24uLgwZsyYYgf8yP8jln99Tk4Ov//+e5GuiIUlJSUxYMAAPvjgAzp06FBgXXx8PLt37y4y0EqenTt3sm3bNmbNmkVycjIZGRnUrFmTiRMnFuiGEhMTg4eHB2Bu3RsyZIjRPdPGxob4+HijaySAr68vNWvW5NChQ+zYsYO1a9eyfv160tLSSEpK4vHHH+fbb78F4L333iMuLo7//Oc/xv61a9dm3rx5gPnfoGnTpjRr1ozU1NQCrad5cf3xxx+cOHECb29vAFJSUvD29iYiIoJDhw7RvXt3AC5evEhYWBhr164lJCSkxHP64IMP8uCDDwLw5ZdfYmtry/Xr10ssy9PTk65du1KvXj3A3IV13759UvET4i4QezX1prp55vFwdsS3YW02RV5mfNfi7xZZjOTOIvveztyZx9XV1Xj91FNPFRhgpKT9O3bsyLZt2wDzYwDHjh0z1h08eJCnnnqKH3/80Sh748aNNG3a1MihQ4YM4bfffuPxxx837s5Vr16dJ598skjvHICuXbty6tQp4uPjqVevnpGrmzVrRvfu3fnjjz9wdHSsUI6cPn26cZxOnTrRokULXFxcSrw+WLBgAZ999hlgbiDIa3TO3+Oof//+PP/880a848aNY9y4cQC8+eabRkN0ea417jTp6lkKmctP3E28vLzYt28fYO72cPr0aQBCQ0NZsWIFly9fBuDKlSucOXOmyP7dunVj3759fPXVV0ZXlaSkJJycnKhTpw6XLl3ixx9/LPbY9evXJzIykpycnAIVtN69e/PFF18Y7/NG88ovIyODwYMHM2rUKIYNG1Zk/YoVKxg4cGCJCXDx4sWcPXuW6OhoPvnkE0aNGsXUqVNp2LAhtWvX5vfff0drzcKFC3nooYcAGDRoEOHh4YC5K0ZGRgb16tXj9OnTxuhlZ86cISoqCi8vLz788ENiYmKIjo5m6dKl9OzZ06j0zZ07l59//pklS5YUaG29evWqMWrc3Llz6dq1K7Vr16Zt27YcP36c06dPk5GRwdKlSwkLC2PAgAFcvHiR6OhooqOjqVGjBidOnKBOnTrEx8cbyzt06FBmpQ8w/r0TExOZNWsWTz31VKll9enThz///JOUlBSysrL49ddfadWqVanHEEJUDjGJqXjcxIie+YX6uLP3TCLXUu7N6auqau7Mc+HCBeP12rVr8fX1LXP/vM+cnp7ORx99xLPPPgvA2bNnGTJkCIsWLTKeAQS47777+P3330lJSUFrzaZNm4zj5B1fa83q1avx9/cH4MSJE8azpfv27SM9PR1XV1cSExON7qDx8fHs2LGDVq1aVShHpqSkGN1wN2zYgJ2dHa1atSr1+qBRo0b8+uuvgHl007znIC9evGjEu3v3bnJycoyKb975Onv2LN9//z2PPfYYUPK1hjXJHb9SeDjXIO56OulZ2TfdfUKIO23o0KEsXLgQPz8/2rdvb/wot2rVin/84x/07t2bnJwc7O3t+fe//02TJk0K7G9ra8vAgQOZP38+CxYsAMz941u3bo2Pjw+NGzemc+fOxR576tSpDBw4EDc3N0JCQkhOTgbg888/54UXXsBkMpGVlUXXrl2ZM2cOe/fuZc6cOcydO5fvvvuOrVu3kpCQYHTVmD9/PkFBQYC5y8nkyZMLHC///qWZNWsWY8aMITU1lX79+hnPI4wdO5axY8fi7+9PtWrVWLBgAUoptm/fztSpU7G3t8fGxoZZs2aV+SP97LPP0qRJEzp27AiYWzrfeecdo6uoUgo/Pz++/vprwNy6PHPmTPr06UN2djZjx47Fz8+v1GOUxsvLi6SkJDIyMli9ejW//PILrVq1YuLEicZQ2++8806BJF0cFxcXXn75Zdq2bYtSiv79+5f7mUIhhPXk5GguXEtlgKlh2RsXo6evOzPDT7Dl2GUeCvKwcHSVX1XMne+88w4hISGEhYXx+eefs3btWuzs7Khbt66xbWn7T5s2jR9++IGcnByee+45Y4CU999/n4SEBJ5//nnAnM/27t1L+/btGTZsGMHBwdjZ2dG6dWvGjx8PmKc8iouLQ2tNUFAQc+bMAczPHS5cuBB7e3scHR1ZtmwZSikiIyN55plnsLGxIScnh8mTJ1e4EfLy5cv06dMHGxsbPDw8WLRokbGupOuDr776iokTJ5KVlYWDgwNffvklYG6Enj17NnZ2djg6OrJ06VLjju3QoUNJSEgw/h9xdnYGSr7WsCZVVUZyCgkJ0ZaYFyW/FRExvLr8AFte7Y5XPaeydxBVVmRkpNF6JYS4s4r7/imlIrTWpd/2FIbbkSNF5XDxWhodPtzEPwb583iHJmXvUEh2jqbdBxv5S/N6fDa8tUVjk9wpxO11s/nR6l09lVIOSqndSqkDSqnDSqn3cpfPV0qdVkrtz/0LutOx5fWXl+6eQgghhKiMYhJTgP9NQ3WzbG0UPXzc2XI0jqzsnLJ3EELctaxe8QPSgZ5a60AgCOirlMp7wvQ1rXVQ7l/RDs63mVHxkwFehBBCCFEJ5TVON65gxQ/Mz/ldS81k39mrlgpLCFEJWb3ilzvJfHLuW/vcv0rR/7RBHQeUQqZ0EEIIIUSlFJPbON2oAqN65vlL83rY2yo2RV6yVFhCiErI6hU/AKWUrVJqP3AZ2KC13pW76gOl1EGl1HSlVPU7HVc1Oxvq13LgvFT8BFBVnocV4m4i3zshSheTmEpdp2rUqFbx8fpqOdjTvqkrm6IuWzAyM/kOC3F7VOS7ZbGKn1LKSSllk/u6hVIqTCllX559tdbZWusgwBNop5TyB94AfIC2QF1gUjHHHK+U2quU2hsXF2epj1KAh4ujdPUUODg4kJCQIAlMiDtIa01CQkKZc1lVRreSE4W4GbFXU/G8hW6eeXr6uHPicjJnEm5YICozyZ1C3B4VzY+WnM5hK9BFKeUC/ALsAR4FRpa3AK31VaVUONBXa503w2O6Umoe8Gox238JfAnmEctuMf5ieTg7sv+c9Hm/13l6ehITE8PtamAQQhTPwcHBmAz3LnPLOVGI8ohNTKFF/Vq3XE6orzvv/3CEzVGXebJzUwtEJrlTiNupIvnRkhU/pbVOUUqNA2ZprT/O7b5Z+k5KuQGZuZU+R+AB4COlVEOt9QVlnvBiEHDIgrGWWyNnR348dIGcHI2NjXXn3hDWY29vT9OmlkmEQoh7QoVyohA3Q2tN7NVUerR0v+Wymrg64e1ek02Rlqv4Se4UonKx5DN+SinVEXNr5rrcZeWZ9bwhEK6UOoi5RXSD1voHYLFS6k/gT6Ae8A8LxlpuHi6OZGZr4pLTrXF4IYQQd6eK5kQhyi3hRgZpmTkW6eoJ5tE9d51O4HpapkXKE0JULpas+L2I+bm8VVrrw0qpZkB4WTtprQ9qrVtrrU1aa3+t9fu5y3tqrQNylz2eb+TPO8ozd5SsGHnOTwghRPlVKCeWNLdtoW2qK6WWKaVOKKV2KaW8LB69uCvkjUHg4VLDIuX19HEnM1uz/Xi8RcoTQlQuFqv4aa1/1VqHAV/kvj+ltZ5gqfKtJW9CVJnEXQghRHndQk4sbW7bPOOARK21NzAd+MiCoYu7SF6jtMctTOWQX5smLtRxtL8to3sKIazPkqN6dlRKHQGict8HKqVmWap8a2kkk7gLIYS4SRXNieWc2/YhYEHu6xVAaO7z8OIeE3s1BfhfI/WtsrO1oXtLN8KjLpOdIyNxClHVWLKr5wygD5AAoLU+AHS1YPlWUbO6HXUc7Y0fVyGEEKIcKpwTS5nbNo8HcC633CzgGuBqobjFXSQ2MZVaDubrFEvp6eNOwo0MDsTIiOZCVDUWncBda32u0KJsS5ZvLR7Ojpy/mmbtMIQQQtxFKpoTS5jb9qbdibluhXXFXk21WDfPPN1auGFro9gcKd09hahqLFnxO6eU6gRopZS9UupVINKC5VuNTOIuhBDiJt1yTtRaX8U8IEzfQqtigcYASik7oA65dxYL7f+l1jpEax3i5uZWkc8gKrmYxFQ8LTSwSx7nGtVo08RFnvMTogqyZMXvWeAFzF1QYjE/lP6CBcu3Gg9nR2KvpqK19HcXQghRLhXKiUopN6WUc+7rvLltowptthYYnft6GLBZS4K6J8UmplpsKof8evm6E3khifMysJ0QVYolR/WM11qP1FrX11q7507BUKQF8m7k6eJIcnoWSalZ1g5FCCHEXeAWcmKxc9sqpd5XSoXlbvM14KqUOgG8DEy+PZ9CVGbXUjO5np5l8a6eAD196gPIXT8hqhg7SxWklJpH0ZHH0FqPtdQxrCVvZM+YqynUqVHHytEIIYSo7CqaE7XWB4HWxSx/J9/rNOBhC4Qp7mIxiZYd0TO/+92caOJag82Rl3iiQxOLly+EsA6LVfyAH/K9dgAGA+ctWL7V5LWmnb+ahl8jqfgJIYQoU5XNiaJyyBt74HZ09VRK0dPHncW7zpKSkUWNapa8XBRCWIvFvsla65X53yullgDbLVW+NRmTuCfKlA5CCCHKVpVzoqgcYq9advL2wnr51mfejmh+O5FAr1b1b8sxwHzn8pvt0TSu60iPlu541XO6bccS4l53O5twmgPut7H8O8bVqRoO9jbGj6wQQghxk6pMThSVQ0xiKg72NtR1qnZbym/rVZea1e3YFHXptlT8tNb83+6z/HNdJGlZOWTnaN777xG8XGvQvaU73Vq60bGZKw72thY/thD3Kks+43cd8/MMKve/F4FJlirfmpRSNMod2VMIIYQoS1XOiaJyiM2dykEpdVvKr2ZnQ9cW9dgUeRmttUWPE5OYwuSVf7L9RDyd7nflo6EmcrRmy9E4thy9zJLdZ5n/WzTV7Wzo0MyVHi3d6C53A4W4ZZbs6lnLUmVVRh7OMpefEEKI8qnqOVFY3+2YvL2wnj71Wf/nRQ6fT8Lf49bHOMh/lw/gg8H+PNbuPqNSObqTE6M7eZGWmc3vpxLYcjSOX4/F8e5/j4DcDRTilt1yxU8pFVzaeq31vls9RmXg4exI5IXr1g5DCCFEJXav5ERhfTGJKQR43t4B53q0dEMp2BR5+ZYrfvnv8nX2dmXqEBON6xY/+byDvS3dW7rTvaW5d/SZhBvG3cCle+RuoBAVZYk7fp+Wsk4DPS1wDKvzcHYkPjmdtMxsaWESQghRknsiJwrrSsnIIjEl87aM6Jmfa83qtG7szKaoS0zs1bxCZZR1l688mrg6FbgbuOv0FbYcvcyvR+VuoBA345YrflrrHreyv1LKAdgKVM+NZ4XWeopSqimwFHAFIoAntNYZtxpvReWN7Hn+airN3GpaKwwhhBCV2K3mRCHKI+/Rk9vd1RMg1Lc+034+yuWkNNxrO9zUvjGJKUxaeZAdJxLKvMtXXg72tnRr4Ua3Fm7wYOl3Ax8KasSQYM9bOp4QVYlFR/VUSvkDrTDPWQSA1nphGbulAz211slKKXtgu1LqR+BlYLrWeqlSag4wDphtyXhvRt6Pa6xU/IQQQpRDhY/rlAAAIABJREFUBXOiEGWKuY1z+BXW08edaT8fJfzoZR5te1+59rHEXb7yKuluYHjUZV7+7gDxyemM73q/xY8rxN3IkqN6TgG6Y05y64F+mOcsKjXJaa01kJz71j73L687zGO5yxcA72LFil+jvIqfDPAihBCiDBXNiUKUR8zVvIrfrd09Kw+fBrVoVMeBTZHlq/idu5LC5O/Nd/n+4l2PqUMD7kicUPBu4N8HtGLCkj/45/oonGtU45GQxnckBiEqM0ve8RsGBAJ/aK2fVErVB74tz45KKVvM3Tm9gX8DJ4GrWuus3E1iAA8LxnrTGtRxwEaZu3oKIYQQZahwThSiLLGJqVSztcGtZvXbfiylFKG+9Vm5L6bUcQ601izedZYP15vv8v1zcAAj2jW+bdNNlMXWRvGvRwNJSstk8sqD1HG0p49fA6vEIkRlYWPBslK11jlAllKqNnAZKFfzitY6W2sdBHgC7QCf8uynlBqvlNqrlNobFxdX0bjLxd7Whga1HYxWNiGEEKIUFc6JQpQl9moqDZ0dsLG5M5Wqnr7upGSYp1gozrkrKYycu4u/rz5E6/tc+PmlrjzW/vZ07bwZ1e1smfN4GwI8nfnbkj/YebL4+IW4V1iy4rdXKeUMfIX57t0+YOfNFKC1vgqEAx0BZ6VU3h1JTyC2mO2/1FqHaK1D3Nzcbin48vBwkbn8hBBClMst50QhShKTmHJHnu/L07GZK472tmyOulxgudaab38/Q98ZWzlw7ir/HBzAonHt7ljXzvJwqm7H/DFtaVK3Bk8v3Muh2GvWDkkIq7FYxU9r/bzW+qrWeg7wADBaa/1kWfsppdxykyNKKcfcfSMxVwCH5W42GlhjqVgrysPZkVi54yeEEKIMFc2JQpRHbOLtn7w9Pwd7Wzp712NT5GXMQzMUvMsX3KTy3OUrjotTNRaNa08dR3tGf7ObU3HJZe8kRBVksYqfUmqtUuoxpZST1jpaa32wnLs2BMKVUgeBPcAGrfUPwCTgZaXUCcxTOnxtqVgrqpGzIxevpZGdo60dyl0hIyuHnw5d5OmFexn07x18v+//s3ff8W1W1+PHP0fynrJjx7EtZzkmOw5ZEHbYUPZooS1QoOwW6Pp9KZ3fLuj8toUvFFpogDK+bRltGWGHkYQA2c4gsTPl2E7s2I63Len+/pCcOInteDzSI9nn/Ypelh8949ixdX3uc+89Hjp8frvDUkqpkBtEm6hUr9q8PvY0tJHvCu9dtTMnj6S8roVNlQ089dEOzvn9+6z11HPfZdN58obIusvXnVHpCTx14zwArnnsYyrqtSNfDT9WLu7yW+ALwH0i8gmBGnwvG2Naezso2Bge2832rQTm+0WM/IxEvH7DnoZWctPD19MWTYwxlJTv5/mVHv61upza5g6yUuLJSIrlm39fw+/e3MwtpxZy5Wz3sCmuaozhwXdK2dvYxj3nTSIpztIqKkqpyDSgNlGpo9ldF/gRCudQT4AFk0YCcM1jy6lubOfkoizuv3xGWO88Dtb47BSeuGEeVz36Edc+9jF/v2U+GclxdoelVNhY9heoMeY94L3gCp2nAzcBjwNpVl3DbvldSjpo4neoPftbeXFVOc+v9LC5qpE4p4OzpuRwxWw3Jxdl4XQI72zaw4PvlvKDl0r4w1tb+OrJ4/jScaNJTYi1O/yQ8fkN33txHc99sguAZWU1PPzlWUwYmWpzZEqpUBoObaKyx4Hi7WFO/HLSEpg9JoPPKhu477LpXDXXvhU7B2Nafjp/vnYO1/31Y65f+AlPf/U4kuO1Q1YND1YXcE8ELiTQyzmLQP29IaOzd628roU5NscSCVo7fLy5oYrnV3p4f/Ne/AaOHe3iZ5dM48IZeaQnHZrQnTE5h9MnjeSjrft4aHEp97+2iYfeLeUrJ4zlKyeOI3OI9bq1eX184/9W8+q6Sr5++gSOHz+Cu55bxUUPLuG+y6Zz8UxbK5QopUJsqLeJyh7ldc0Attxp+8u1gb9+ov0u2fzCETx49bHc+rcV3Pq3FfzlujnExwyPUUhqeLOygPvfCQzNXAQ8CLwXXMp6yOgs4u4Zxit7GmNYubOO51d6eHnNbva3eslNT+DWUwu5fLabwuyUXo8XEeYXjmB+4QjW7KrjocWl/PGdUv78wTa+eNxobjp5PKPSE8L01YROU5uXW/+2gg+2VPP9z03mqyePB+CVO0/m68+s4q7nVvPxtn384IIpw2bIq1LDyXBoE5U9PLUtOARb2spoT/i6OnvqKO6/fAb/759r+ebf1/DHq47FGabyGErZxco7fo8BVxtjfBaeM6IkxcWQkRQ7LFf23F3XEhjKucLD1uomEmIdnDt1FJfPdnNCYdaA3iyLC1w8cs0ctlQ18PDiMhYu3c6Ty7ZzxWw3t5xSyNisZOu/kDCoa27n+oWfsGZXHb++YgZXzjlYuisnLYFnbjqOX7/xGY+8t5U1njoe+uJsRo+I7EnxSql+G1JtYk1jGxsrGjipKMvuUIa9zukmsU4rK3INT5+fU0B9cwc/f3Uj6Ymx/PySaWEfvmqMYfFne3l5bQUzR7s4Z0oOI9OivwNcRSYr5/i9btW5Ill+RiK7h0ni19zu5fX1lTy/opwlZdUYA/PGZnLrqYWcN32UZXPzinJS+d0XZvKNs47h0fe38n+f7uL/PtnFBTPyuO20QibnRs+UmKr9rVz72Mdsq27i4S/P5pypo47YJ8bp4LvnTWbOmEy+9ffVfO6BD/jtlcWc3c2+SqnoNNA2UUQKgCeBHMAAjxpj/nDYPqcRKHG0LbjpBWPMTwYe7dE9+/FOfvPGZtb++GzShvC87GjgqQtvKYeh7qZTxrOvuZ2HF5eRmRTHt8+ZGLZrr9pZy/2vbWL5tn0kxjp5fqWHH/6rhGMLXJwzdRTnTB0VtZ3goebzG5ravTS1BR6Nbb7gxyO3pSfGMiEnhaKRKeS7EqNybqpVpLMeS7SbM2eO+fTTT0N+nVue+pSte5t485unhvxadvD7DZ9s38c/V3h4dV0FTe0+3BmJXD7LzeWz3GG5M7WnoZXHPtzG35btoKndxxmTRnL7ggnMHpMR8msPxo6aJr782HL2Nbbz52vncMKEo/eM79rXzO1Pr2RdeT03nzKe75wz0fZe3NW76li+tYbRmUlMGJnCmBHJxMUMr57lDp+fNq+f5DjnsG4gIpmIrDDGDLnp1iKSC+QaY1aKSCqB4u+XGGM2dNnnNODbxpgL+nreKQkx5pmxvQ/F743Xb2hu95IUF0OMDoezVUOblxiHkKjTBCzV0uGjw+cnPsZJfIjbPL8xtHb48fr9CEJ8rINYpwO/MXh9hg6fH3/w73OHCLFOBzEOieihqKbLE3PgqTli24F9zWH7AJ0piTGB7abLsZ35ijlwroHmL4JTwOEQHBL4njpECPe31pjAz4H/wMfAc4DkuMH9bh/7WX2P7aMuY9RP+a4kPthSjTFmyP1BWN/cwZWPLGVzVSPJcU7On57L5bPdzBubiSOMvxEjUxP47nmTuf3UCTyxbDuPL9nG5Q8v5fjxmdyxYAInTciKuO/9xor9XPv4x3h9fp656XiKC1x9Oq4gM4l/3jafn728kUff38qqnbU8cPWssM/dMMbwYWk1Dy8uY2lZzSGvOR3C6MwkCrOTKRyZQmF24DEhO+WIBXwiXYfPT3VjG3v2t1G1v5Wqhjb27G8NfN7QStX+NvY2tFLT1I4x4BBIjo8hLSGW1ISY4OPg85T4wPO0Q7bHBl8LHJeSEBPRjbWKLMaYCqAi+LxBRDYC+cCGXg8Msc6fYZ/faOJno8AfwERcGzgUJMQ6MSawMJsIxIWgE9YfPH+HL/AXfnyMk7gYB53/m04RnDFCfIwDvwm0WV6/oc3ro43A/3usw0GMM5CwhOunwG8MPj/4jMHvN/iC2VeXlM3iKwa+ts4fc5FAckbgH4J0eS2wDQkec+A4OfCaMcHYD8QPXp/B4D/kmg7hYCLoCCSIIgP7PhsC37cDCZ7/8ATv0O+ZIDgcgUQ/lCy94yciFwGnBD99zxjzH8tOfhSD7c3sqzavnzavj9T4WIba+267z09rh4+EWCexTkfY3lCOxhAoBt/u82OMwSlCXIyTWGdkROj1G1rafSCQFOfEOcAfjA6fn5YOPwIkxjnD9sdVhy/QqPiDnRlxzkDPo+nyBuXzd/9mFXijCrxZ2tpzRrAX0ATexk2XN9uuH00PjVNnI+KQgx87z4sxB8/PQHsdDzZAhzRQcuDVLg0aweddGraetg1ST5F33yz08NUaut9++C5ddnA6Bv8z0luPZqQYbJsoImOB94Fpxpj9XbafBjwPeIDdBO7+re/tXFaMilnwm8Uck5PCI9dE9Ld9SPPUNnPSL9/l/sumc9W80XaHM+S0eX3csPATPtq6j0e+PJszp+RYct6G1g4efX8rf/lgGx0+P188bjRfP72I7NT4Ph1f3djG2xurWFRSyZLSGtp9fkYkx3HWlBzOmTqKEyaMsGRV0tYOH1uqGtlQUc+G3fvZULGfjRUNNLZ5gcB7d9HIFCaNSsWVFEdcjINYZ+COZFyM48DfD4GHHLotuG/n54Fjg6/HHDxHclz4Okvrmtsp3dPIlj2NbK5qCDyvaqRy/8FyqwmxDgqzA8NEi3JSD3wsyEhkX1M7O/c1s6u2mZ01LYHn+5rZua+ZqobWQ9rS+BgHBZlJjA4+Cg58TKQgI8nSkiK9jYixclXP+wisYPZ0cNOdIjLfGHOvVdeIBJ1/EPqDCchQ4vUZHME//COJEPiFiYtx0OHz0+7109Lhpc0b6BWLsTFJDQx/8uGQwOI/g3mvinU6cDiElnYfze3eI3oCrWTgwPfSbwL/70ck/CI4D7t6Z+LjM4FhwZ3JYE89Z4Ees87es0DiYji0p9AEs4JDPz806epp+8FhIH1I6BzgEEcgARPBQbAnTwaXRB1MCg9+XQeGqRw+bKXL1+3v7DE9EH9/O+GkS0J4MJZDAutuew9bwikx1okjwt5nrDbYNlFEUggkd3d3TfqCVgJjjDGNInI+8BJQ1M05bgZuBhg9evBJQrE7nY+27hv0edTAeWyq4TdcxMc4eeSaOXzxzx9xxzMrefKGeRw3fsSAz9fm9fHM8p088E4p+5rauWBGLt8+e2K/5+1lpcTzhbmj+cLc0TS0drD4s728vr6Sl9dW8Nwnu0iJj+G0idmcM3UUCyaNJKUPSURtUzsbKvYfSPA27N5P6d5GfMHxhinxMUzOTeXyWflMyUtjSm46RTkpQ2olcldSHHPGZjJnbOYh2+tbOijd00jpnga2VDWyeU8jH2/bx0urd/d6vlFpCYzOTOKECSMOJHidj6yU+LCOnuuJZXf8RGQtMLNzuepg0dpVxpgZllzgKMI1x2+dp54LH/yQR67pfuGOaFXf0sGcn73J9SeO497zJ9sdTq+8Pj+vrKvg4cVlbKpsYHx2MnedUcQFM/LCOqTuP2t2882/r6ZoZCpP3DCvzz13R9Pc7uX7L5bwwqpyTi7K4vdfmMmIFOvO/ezHu/jLB1upqG9lSm4aty8o5LxpuYP63hlj2NfUTtneJsr2NlK6p5GyvYGHp7alhztIvYuLcZAY6yQhtvOjk/hYJ4mxDhJinQe2JcQ6yU6NJyctnpGpCeSkxZOTlsCI5Dhioii5MMbQ5vXT3B6YjN7SEfzY7qMp2BnQ3O6jud1HS7uXpnZf4LU2L61ef2CIyoHhKcGPjkO3OR2HvS6BfQ55vct+h5/T6Qgkys4u53B0niP4ulME6Xwe3O447Nyj0hNITxzcMOFIn+M3mDZRRGKBl4HXjTG/68P+24E5xpjqnvaxoo18/MNt/OTlDSy/9wxydNVBWzy/wsO3/rGGd799GuN00Y+Q2dfUzpV/Wsqe/W08d8vxTM1L79fxfr/hP2t385s3PmPXvhZOKBzBPedNYoa7b9NA+qrN62NpaQ2vr6/kzQ1V1DS1Exfj4KQJWZwzNYczJ+eQmRzHrn0th9zF27B7P7vrD97VGpWWwNS8tGCCF/hYkJEUEYlKJGlo7Thwh3DXvmayU+MpyAjcvXNnJEZMUhyWO35BLqCzO7B/vyVRorOXrXyI1fJ7Z1MVHT7DudMiP5mNcTq4eGY+F87IY9H6Sv7w1hbuem41D7xTyp1nFHHB9NyQv1k9s3wn33tpHXPHZPKXr8yxdJW7pLgYfvv5YuaOy+RH/17P5/74IQ9+8dgjeqT6o665nYVLt7Nw6Xbqmjs4blwm9102nVOPybZkroiIMCIlnhEp8cwbd2icrR0+tgYTwjavn4RYBwkxThLjAkldZ/J2MJELvD7cGhwJ3nVNiHWSOYRqZQ1z/W4TJfAL+RiwsaekT0RGAVXGGCMi8wAHUNPdvlbqnLu8ZledrkJsk85yUrlDoN5tJMtMjuOpG4/jioeXct3jH/OPW0/oc6L9/ua93P/aJjZU7GdKbhpP3jCdk4tCszZBfIyTBZNGsmDSSH5+qWHFjloWlVTy+vpK3tm0B4esIyku5pChmoXZycwbl3ngLt7k3FTLOpeHutSEWI4dncGxoyN7scHeWJn43QesEpF3CYw8OgW4x8LzR4SMpFgSY51Drpbfa+sqGZWWwEyLe6NCyeEQzp+ey7lTR/FqSQV/eGsLdz67igfe3sJdZxZx/jTrE0BjDA+/V8avFn3GgonZPPSl2SQOcvWl7ogIV88bzfT8dO54ZiVXPfoR95w3iRtPGtevxqOyvpW/fLCVZz7eSXO7jzMnj+S208K7QmpCrDPQwORFT1kOpSww0DbxROAaYJ2IrA5uuxcYDWCM+RNwBXCbiHiBFuAqE4YluqfmpRHjENZ4NPGzi6c2cJchUu4sDGV5rkSevPE4Pv/IMq55bDnP33ZCr3e613nq+eWiTXxYWo07I5Hff2EmFxXnha0T0+kQ5o3LZN64TH5wwWTW797PGxuqqGtuZ3JuGlPz0jgmJ1V/doY5K+v4PSsii4G5wU3/ZYyptOr8kUJEyHMlDKk7fk1tXt7bvJer5hZE5V0Wh0O4YEYe503L5dV1Ffzh7S187ZlVTMwp5a4zizh36ihLvi5jDPe9tolH39/KxTPz+M2VxSEvvTAtP53/fP0kvvOPNfzslY18sn0fv7qi+KjD5LbubeSR97bywioPfgMXFedx66mFTByVGtJ4lVIBA20TjTEfcpRpp8aYB4EHBx1kPyXEOpk4KpW1nvpwX1oFlde14Nb5fWEzYWQKC6+fy9WPfsS1j33M/91yPK6kQ0dk7Khp4jdvbOY/a3aTkRTLDy+YwpeOH23JYisDJSJMy09nWv6QHHynBmHQiZ+IzDpskyf4MU9E8owxKwd7jUiTn5HE7vqhk/i9t3kvbV4/507LtTuUQXE6hAuL8zh/ei4vr93NH97ewu1Pr2TSqFTuPrOIs6cMPAH0+vzc++I6/v6ph2vnj+HHF04NW5KclhDLn748m8c+3Mb9r23iwgc+5KEvzer2Db2kvJ6HF5fxakkFcU4HV80dzc2njKcgM/T1F5VSQ79NLC5w8fKa3fj9Jio7CqNdeW2L/jEfZjPcLv587Ry+8tdPuGHhJ/ztq8eRFBdDdWMbD7y9haeX7yTW6eDrp0/gplPGWzr1QymrWXHH77e9vGaA0y24RkTJdyWyvnzo9Hi+VlJJZnIcc8dG75jlrpwO4eKZ+VwwI4//rNnNH9/ewq1/W8nk3LRgApjTr+GSbV4fdz27mkXrK7nz9Al846xjwl5DSUT46snjOXa0i689s4rLHl7Kjy+cytXzCgD4aOs+HlpcygdbqkmNj+G2Uwu5/sRxli04o5TqsyHdJs50u3hm+U621zQxPjv0JZTUQX6/YXddK+dEwVz8oeaECVn88eqZ3P70Sm7720pmjc7g0ffLaPX6+cLcAu4+o4iRuuCRigKDTvyMMQtExAHMN8YssSCmiOfOSKSmqZ2Wdl9I5neFU2uHj3c2VnFhcV5UrYDYF06HcMmx+VwwI5d/BxPAW55awZRgAnhWHxLApjYvNz/1KUtKa/jBBVO48aRxYYq+e7PHZPLKnSdz13OruPfFdXxYupeK+lZW7awjKyWO/3fuRL58/BjtcVTKJkO9TZxRELjbtNZTr4lfmO1tbKPd58edoSM47HDutFzuu2w6//X8Ot7bvJfzpo3i2+dMpFB/D1QUsWSOnzHGLyIPAsf25zgRKQCeBHII9IQ+aoz5g4j8GLgJ2Bvc9V5jzKtWxGqFfFdwZc+6FiaMjO5f+CWl1TS1+6JiNc+BinE6uGyWm4uK83hp9W4eeGcLNz+1gmn5adx9xjGcMXlktwlgbVM71y/8hHXl9fzmymKumO22IfojZSbHsfD6eTz4Tim/f3sz7oxEfnrJNK6c7dZJ20pFgIG2idGgaGQqSXFOVu+q45Jj8+0OZ1jprOHndukcP7t8Ye5osoIrWM8siJ7F8JTqZOWqnm+LyOXAC/1YXcwLfMsYs1JEUoEVIvJm8LX/Mcb8xsL4LJM3hBK/10oqSU2I4YTCLLtDCbkYp4MrZru5ZGYeL6wq54F3tvDVJz9lhjudu88sYsHEgwlgZX0r1zy2nB37mnn4S7MibgU7p0O468wiPj/XTXZK/JC7W6vUEDCQNjHiOR2BRSPWeOrsDmXY6VxNXIu32+uMyTl2h6DUgFmZ+N0CfBPwikgrgVXJjDGmxzXcjTEVQEXweYOIbAQivgux8013d5SXdOjw+XlrYxVnTs4hLmb4JA4xTgefn1PApcfm8+LKcv74zhZuWPgpxQUu7j6ziHEjkvnyY8upbWpn4fVzIzopzk3XPwCUilD9bhOjRbE7nSeW7aDD5w/5ysbqIE9tM3Bw1JFSSvWXleUcBrVOvIiMJTAsZjmBOkZfE5FrgU8J3BWsHWyMVslJjcfpkKgv6bB86z7qmjuG9DDP3sQ6HXx+bgGXzsrn+RUeHninlOv/+gmxTiElPoZnbz6eGVFU11ApFTkG2yZGsuICF+0fbOOzygZdYTKMymtbyEiKJTneyj57pdRwYum7h4hkAEXAgaWNjDHv9+G4FOB54G5jzH4ReRj4KYF5fz8lsEraDd0cdzNwM8Do0aOt+BL6JMbpYFRaQtQXcX+tpILEWCenFGXbHYqtYp0Orpo3mstmufnnCg9vbazi3vMnMWHkkP27TSkVBgNtEyNdcbBDbPWuOk38wqi8rkWHeSqlBsWyxE9EvgrcBbiB1cDxwDKOsnS1iMQSSPqeNsa8AGCMqery+p+Bl7s71hjzKPAowJw5c8I6hyI/IzGq7/j5/IbX11exYFJ21K9MapW4GAdfPG40XzwufJ0ISqmhaaBtYjRwZySSmRzHWk8dMMbucIYNT20LhdnJdoehlIpiVg7OvwuYC+wwxiwgMGyz19nfElhJ4zFgozHmd122d60kfilQYmGclsh3JUb1Hb+VO2upbmzjnAhbtEQppYaIfreJ0UJEKHans2bX0KlnG+mMMZTXtmgpB6XUoFg51LPVGNMqIohIvDFmk4hMPMoxJwLXAOtEZHVw273A1SIyk8BQz+0EJslHlHxXIpX7W/H6/FG5ouKikkrinA5OnzTS7lCUUmooGkibGDWKC1y8t3kLTW1enXMWBrXNHbR0+HRhF6XUoFj5bu0RERfwEvCmiNQCO3o7wBjzIYGVzg4XMTX7epKfkYjPb6hqaIu6N2JjDItKKjm5KItULfStlFKh0O82MZoUu134DZSU13Pc+BF2h3OI6sY27nl+Ld//3BTGZg2NoZEHVvTUOX5KqUGwclXPS4NPfywi7wLpwCKrzh9pDhRxr22JusRvXXk95XUt3HVmkd2hKKXUkDTU28QZ7sCiLms8dRGX+L2xvoq3Nu6hqc3HMzcdd6A+azTrXFPArYmfUmoQBj1GUUTmish5XbcZY94jUJx9+mDPH6k6e93K65ptjqT/FpVU4nQIZ2kRUqWUstRwaRNHpMRTkJkYkfP8lpRV4xBYtrWG51eW2x2OJTrXFHC7dI6fUmrgrJic9ktgQzfb1wO/tuD8ESkv/eAdv2jSOczz+PGZZCTH2R2OUkoNNcOmTZzhdrHGE1nr1fj9hmVlNVw8M585YzL4+Ssb2NfUbndYg+apbSElPoa0RJ1PqZQaOCsSv1RjzBHzFoLbsiw4f0RKjHMyIjmO8rpWu0Ppl81VjWytbuLcablH31kppVR/DZs2cabbhae2herGNrtDOWBTZQP7mto5cUIWv7hsOo1tXn7+yka7wxo0T20L7ozEITFsVSllHysSv4xeXhvSYxLyM6KvpMOikkpE4JwpOsxTKaVCYNi0icUFgULuayPort/SsmoATpwwgmNyUrnllEKeX+lhaWm1zZENTnld9K0noJSKPFYkfm+JyM+lSzeUBPwEeMeC80esfFci5bXRNcfvtZIKZo/OYGRagt2hKKXUUDRs2sRp+Wk4hIia57ektJrxWcnkBqdjfO30CYwZkcT3XiqhtcNnc3QD56lt1hU9lVKDZkXi9y1gPFAqIs+LyPPAFuAY4JsWnD9idRZxN8bYHUqfbK9uYlNlA+dO06LtSikVIsOmTUyKi+GYnNSImefX4fPz8bZ9nDDh4CqjCbFOfn7JdLZVN/HQ4jIboxu4/a0dNLR6dUVPpdSgDXqWsDGmiUDB9fHA1ODm9caYrYM9d6TLcyXS2uFnX1M7I1Li7Q7nqBatrwTQxE8ppUJkuLWJxW4Xb2yoxBhj+/yzNbvqaGr3cWLhoVMpTyrK4tJj83l4cSkXFecyYWSqTREOTOcicvm6oqdSapCsuOMHgDFmqzHmP8HHkGzgDtc57GJ3lCzw8lpJJdPz03FnaOOhlFKhNNA2UUQKRORdEdkgIutF5K5u9hER+aOIlIrIWhGZZW30fTejIJ3a5g48EbDC9ZLSGkRgfuGRdQW/97nJJMfHcO8LJfj90TFKp9OBxE/v+CmlBsmyxG84OlDEPQpj881MAAAgAElEQVRq+e2ua2HNrjq926eUUpHNC3zLGDMFOB64Q0SmHLbPeUBR8HEz8HB4Qzyo2B1Y4GX1LvuHey4pq2ZqXhqupCNLFWWlxHPveZP5ePs+/rFilw3RDZwnuJaADvVUSg2WJn6D0PkmHAk9nUfzug7zVEqpiGeMqTDGrAw+bwA2AvmH7XYx8KQJ+AhwiYgtNXomjkolPsbBGpsTv+Z2L6t21h4xzLOrK+e4mTcuk1+8uimiSlAcTXldCwmxDkZo7V2l1CBZmviJyEkicn3webaIjLPy/JEmPTGW5DhnVJR0WFRSyTE5KRRmp9gdilJKDQuDbRNFZCxwLLD8sJfyga63rTwcmRyGRazTwdS8NNZ67F3Z85PttXT4DCdM6DnxExF+cek0mtu9/OzlDWGMbnDK61rIc2kNP6XU4FmW+InIj4D/Ar4b3BQL/M2q80ciESHPlXhg/H2kqm5s45Pt+7Rou1JKhclg20QRSQGeB+42xuwfYAw3i8inIvLp3r17B3KKPikucLGuvB6vzx+yaxzN0tJqYp3C3LG9lVGECSNTue20Cby0ejcfbAnd98RKgeLtOjdfKTV4Vt7xuxS4CGgCMMbsBqJr6awByM9IZHd9ZCd+b6yvwm/g3Kk6zFMppcJkwG2iiMQSSPqeNsa80M0u5UBBl8/dwW2HMMY8aoyZY4yZk52d3c/w+25mgYuWDh9b9jSG7BpHs6SsmmNHZ5AUd/TFym8/rZDxWcl8P0pq+5XXavF2pZQ1rEz82k2goJ0BEJFkC88dsfKj4I7fovWVjBmRxOTcIZ+HK6VUpBhQmxgs/P4YsNEY87sedvs3cG1wdc/jgXpjTIUVQQ9E5wIvds3zq2tuZ/3u/b3O7+sqIdbJzy6dxo6aZh54Z0uIoxuclnYfNU3turCLUsoSViZ+fxeRRwhMMr8JeAv4y9EO6mnpahHJFJE3RWRL8GPv4zdskp+RSG1zB83tXrtD6VZ9cwdLS6s5d+oonR+glFLhM6A2ETgRuAY4XURWBx/ni8itInJrcJ9Xga1AKfBn4PYQxN9nY0YkkZ4Yyxqb5vktK6vBGDhxwpFlHHpyQmEWl89y88h7W9lc1RDC6Aanc9VwveOnlLLCoAu4dzLG/EZEzgL2AxOBHxpj3uzDoZ1LV68UkVRghYi8CXwFeNsYc7+I3APcQ2C+REQ5UNKhtoWinMi7o/bWxiq8fqOreSqlVBgNtE00xnwI9NpLF7yTeIclgVpARJjhTrftjt+SsmqS4pwUF7j6ddz3PjeZdzZV8d0X1vGPW+bjcERe52jnquF6x08pZQUrF3f5pTHmTWPMd4wx3zbGvCkivzzacb0sXX0x8ERwtyeAS6yK1UqdiZ8nQlf2XLS+ktz0hANDcZRSSoXeQNvEaDWzwMVnVQ20tId/ztzSshrmjcsk1tm/P2kyk+P43uemsGJHLc99Epm1/TpXDdfi7UopK1g51POsbrad158THLZ0dU6XOQuVQM5ggguVzjfj3RGY+DW1eXl/817OmToqInsylVJqCBt0mxhNZrhd+PyGDRXhHe5ZWd/K1r1NfZ7fd7jLZ+Uzf/wI7nttI3saWi2ObvA8tS3EOISRqQl2h6KUGgIGnfiJyG0isg6YKCJruzy2AWv7cZ4el67uOkH+sGPCslR1b0amJhDjkIhc4GXxZ3tp8/p1mKdSSoWJVW1itCl2pwOweld4E78lpdUAnNCP+X1diQg/v3QabR1+fvryRitDs0R5baCGn1M7b5VSFrBijt8zwGvAfQTm4XVqMMbs68sJeli6ukpEco0xFSKSC+w5/DhjzKPAowBz5sw5IjEMB6dDyHUlRGQR99dKKhiRHMfcsZl2h6KUUsPFoNvEaDQyLYG89ISwz/NbUlZNZnIck0elDfgc47NTuGPBBP7nrc1cPiuf0yaOtDDCwSmv01IOSinrDPqOnzGm3hiz3RhzNeABOgjcnUsRkdFHO76Xpav/DVwXfH4d8K/BxhoqkVjSobXDx7ub9nD21BztKVRKqTAZbJsYzWa4Xaz1hC/xM8awtLSG+eNHDHo6w62njacwO1Dbz455ij3x1Dbr/D6llGWsXNzla0AV8CbwSvDxch8O7XbpauB+4CwR2QKcGfw8IuW5EiNujt+HW6ppavdx7rRcu0NRSqlhZxBtYtQqLnCxvaaZuub2sFxva3UTlftbBzzMs6v4GCe/uHQ6ntoW/vB2ZNT2a/f62dPQpit6KqUsY1k5B+BuYKIxpqY/Bx1l6eozBh1VGLhdiVTub6XD5+/3qmKh8lpJJakJMcwfP/gGUSmlVL8NqE2MZsUFgXl+azz1nHpMdsivtzQ4v2+gC7sc7rjxI/jCnAL+/MFWLp6Zx+TcgQ8ftUJFfQvGaA0/pZR1rMxSdgH2VG+1WX5GIn4TWF0sEnT4/Ly1sYqzJucQFxMZiahSSg0zw65NnJ6fjgisDdM8vyWlNeS7EhkzIsmyc373/Em4EmP57gvr8PttWTrggM4afjrUUyllFSvv+G0FFovIK0Bb58bD5u0NSfmuQKNTXtdCQaZ1DdBAfbS1hvqWDl3NUyml7DPs2sTUhFgKs1NYE4Z5fj6/YdnWGs6ekkNgqQBruJLi+P4Fk/nG/63h6eU7uGb+WMvO3V+dawcUZNj/d4VSamiw8nbQTgJzGeKA1C6PIa+zNy5SFnh5raSSpDgnp4RhqI1SSqluDcs2sdjtYvWuegJVmEJnw+791Ld0cOIEa4Z5dnXJzHxOmpDFrxZ9RtV++0byeOpacAiMStcafkopa1h2x88Y899woB4fxphGq84d6XKDb8qRsMCLz294Y30VCyaOJCHWaXc4Sik1LA3XNrG4IJ3nV3qoqG8lL4Rz05aUBev3FVo/j11E+Nkl0zjn9+/z3/9Zz0Nfmm35NfqivLaFnLSEiFk7QCkV/axc1XOaiKwC1gPrRWSFiEy16vyRLCHWSVZKfETU8luxo5bqxjYd5qmUUjYarm1isdsFEPJ6fktKqykamcLItNDcDRublcydZxTx6rpK3t5YFZJrHI2ntllX9FRKWcrKbqRHgW8aY8YYY8YA3wL+bOH5I1p+RmJEJH6vlVQQF+NgwaTIKUCrlFLD0LBsEyflphLndLA6hPP82rw+Ptm+LyTDPLu66eTxFI1M4Yf/Wk9Tmzek1+qOFm9XSlnNysQv2RjzbucnxpjFQLKF549o7ggo4m6M4fWSSk4pyiIl3sp1e5RSSvXTsGwT42OcTM5NZe2u0C1oumpnHa0d/pAM8+wqLsbBLy6bTnldC79/a3NIr3U4r89PZX2rruiplLKUlYnfVhH5gYiMDT6+T2BVs2Ehz5VAeV1LyCe092atp57d9a2cM1WHeSqllM2GbZtYXOBiXXk9vhCVQ1haWo1DAnX3Qm3u2Eyunjeax5dsp6Q8fNU5qhra8PoNbl3RUyllISsTvxuAbOCF4CM7uG1YyHcl0ub1U9PUblsMi9ZXEuMQzpqSY1sMSimlgGHcJha7XTS2edm6NzTr2Swpq2G620V6YmxIzn+4e86dREZSHPe+uC5kyezhOkcQ6VBPpZSVLEv8jDG1xpg7jTGzgo+7jDG1Vp0/0uUHe+XsGu5pjGFRSSXzC0fgSoqzJQallFIBw7lNLC5IB2CNx/o7ZI1tXtbsquPEEA/z7Co9KZYfXjiFtZ56nlq2PSzXLK9rBrR4u1LKWoOeCCYi/+7tdWPMRYO9RjTo7JUrr2uhuMAV9ut/VtXAtuombjxpXNivrZRSKkDbRBiflUJKfAxrdtVxxWy3pef+eFsNXr8J+cIuh7twRi7/XOHht29u5rLZbtISQnu30bNP7/gppaxnxQog84FdwLPAckAsOGfUsbuI+6KSSkTg7Kk6zFMppWw07NtEh0OY4U5nTQhW9lxSWkNcjIPZYzIsP3dvRITvnD2RCx/8kKeW7eCOBRNCer3yuhayUuK1Hq9SylJWDPUcBdwLTAP+AJwFVBtj3jPGvGfB+aNCWkIMKfExtpV0WFRSyZwxGYxMDU1NI6WUUn0yqDZRRB4XkT0iUtLD66eJSL2IrA4+fmhp9BaZ4XaxsWI/bV6fpeddUlrNnDEZtiRE093pnHpMNo9/uI2Wdmu/rsOV17XoME+llOUGnfgZY3zGmEXGmOuA44FSYLGIfG3Q0UURESHfZU8tv23VTWyqbODcablhv7ZSSqmDLGgTFwLnHmWfD4wxM4OPnwwi3JCZWZBOh8+wsaLBsnNWN7axqbIh5GUcevO10ydQ09TOc5/sDOl1PLUtuHWYp1LKYpYs7iIi8SJyGfA34A7gj8CLVpw7muRn2FPLb1FJJQDnTtMyDkopZbfBtInGmPeBfSEMLyw657qv2WXdcM9lZTUAnBDm+X1dzR2bybyxmTz6/lbavf6QXMPvN5TXteDWO35KKYsNOvETkSeBZcAs4L+NMXONMT81xpQPOrooY9cdv0UlFcxwp+skcKWUslmY2sT5IrJGRF4TkakWntcyo9ISyE6Nt3Se39KyalLjY5iRn27ZOQfijtMnUFHfyourPCE5f3VTG+1evw71VEpZzoo7fl8GioC7gKUisj/4aBCR/Uc7uLv5DCLyYxEp7zKH4XwL4gy5/IxE6ls6aGzzhu2a5XUtrPHU690+pZSKDINqE/tgJTDGGFMMPAC81NOOInKziHwqIp/u3bvXgkv3nYhQ7HZZesdvSWkNx43PJMZpZQni/julKIvp+ek8vLgMr8/6u34ereGnlAoRK+b4OYwxqcFHWpdHqjEmrQ+nWEj38xn+p8schlcHG2c45LnCv7Ln653DPKdq4qeUUnazoE082vn3G2Mag89fBWJFpNuxj8aYR40xc4wxc7Kzswd76X6bWZBO2d4m9rd2DPpcu/Y1s3NfMycU2jfMs5OIcMeCQrbXNPNqsA22UuffEO5gfWCllLKKvd1mDJ35DHCwd253GId7LiqpZGJOKuOzU8J2TaWUUvYQkVEiIsHn8wi04zX2RtW9Ge7APL8SCwq5d87vC3f9vp6cPWUUE0am8NC7pfj9xtJzd04Z0aGeSimr2Z749eJrIrI2OBQ0vAV7BqhzIrYnTInf3oY2PtmxT4d5KqXUECEizxKYIzhRRDwicqOI3CoitwZ3uQIoEZE1BBaNucoYY23mYZEZ7sBcvNUWzPNbUlZNVko8x+RERienwyHcflohmyobeGfTHkvP7altJj0xlpR4K0otK6XUQZGa+D0MFAIzgQrgt93tZOf8he5kp8QT53SEbajnGxsqMUZX81RKqaHCGHO1MSbXGBNrjHEbYx4zxvzJGPOn4OsPGmOmGmOKjTHHG2OW2h1zT1xJcYzLSh70PD9jDEvLajihcATBm50R4cLiPNwZiTz4bilW5t7ltbqip1IqNCIy8TPGVAVrIfmBPwPzetjP1vkLh3M4hFxXQthW9lxUUsnYEUlMGpUalusppZRS/THDnc7aQQ713LKnkb0NbZw4wb76fd2JdTq49dRCVu+qOzAU1QrldS26sItSKiQiMvETka6VyC8FSnraN9LkpSdSXtsc8uvUN3ewrKyGc6flRlQPqFJKKdWp2O2ior6Vqv2tAz7HktJqgIhY2OVwV8x2MzI1ngffLbXkfMYYymtbdH6fUiokbE/8upvPAPxKRNaJyFpgAfANW4Psh/yMRHbXDbyB66s3N1bh9Rsd5qmUUipiWVHIfUlpDaMzkyjIjLxVLhNindx08niWltWwcmftoM9X19xBU7tPV/RUSoWE7YlfD/MZrjHGTDfGzDDGXGSMqbA7zr7KdyVS1dBKu9f62j5d/Wt1ObnpCRS77S1kq5RSSvVkal4aMQ4ZcCF3r8/P8q01ETfMs6svHjcaV1IsD1lw1+/Aip461FMpFQK2J35DTX5GIsZAZX3o7votKqnggy3VXDt/rA7zVEopFbESYp1MHJU64Hl+68rraWjzRuQwz07J8TFcf8I43tq4h40V+wd1Ls+BGn6a+CmlrKeJn8Xcrs6SDqGZ51ff0sEP/7WeyblpfPXkcSG5hlJKKWWV4gIXa3bVDaje3dLgoiknFEbuHT+A604YQ3Kck4cWlw3qPJ7gGgGa+CmlQkETP4vlBRO/UJV0uP+1TVQ3tvHLy6cT69T/PqWUUpGt2J3O/lYv22ua+n3sktJqJo1KZURKfAgis44rKY4vzx/DK2t3s626/19np/K6FpLjnKQnxloYnVJKBWjmYLFcVwJASBZ4+WhrDc9+vJMbTxrHDLfL8vMrpZRSVutc4KW/wz1bO3x8uqOWEydE7jDPrm48aRwxTgd/GsRdv84VPXUah1IqFDTxs1h8jJORqfGUWzzUs7XDx3dfWEdBZiLfOOsYS8+tlFJKhUrRyFSS4pys7ufKnit21NLu9Uf0wi5djUxN4Kq5BbywysPuAdbz9dRqDT+lVOho4hcC+RmJlhdxf+CdLWyrbuIXl04nKS7G0nMrpZRSoeJ0CNPy0vu9sueS0mpiHMK8cdGR+AHcfMp4jIFH3986oOPL61q0lINSKmQ08QuBfFeipXP8NuzezyPvbeXyWW5OLsq27LxKKaVUOBQXpLN+9346fH0vdbSkrIbiAhcp8dHT2enOSOKSY/N57pOdVDe29evYhtYO6ls6tHi7UipkNPELgXxXoIj7QFYwO5zPb7jnhbWkJ8by/c9NtiA6pZRSKryKC1y0e/18VtnQp/3rWzpY56mL+NU8u3PbaYW0ef08/uG2fh2nNfyUUqGmiV8I5Gck0u7zU93Uv96+7vx1yTbWeur50UVTyUiOsyA6pZRSKryKgwuS9XWe3/KtNfgNEV2/ryeF2SmcPy2Xp5btoL6lo8/HlWsNP6VUiGniFwL5FpV02LWvmd++sZnTJ43kwhm5VoSmlFJKhZ07I5HM5DjW9nGe39KyGhJiHcwaE50rWN92WiENbV6eWra9z8ccuOOniZ9SKkQ08QuBzjftwSzwYozh3hfX4RD42SXTdGlnpZRSUUtEKHans2ZX30o6LCmtZu7YTOJjnCGOLDSm5aezYGI2j324jeZ2b5+O8dS2EBfjICs5smsWKqWilyZ+IWDFHb8XV5XzwZZq/uu8SQeKwiullFLRaobbxZY9DTS19Z4I7dnfypY9jVE5zLOrOxZMoLa5g2c/3tWn/ctrW3C7EnE4tKNXKRUamviFQGpCLKkJMQOu41Pd2MZPXt7ArNEuvnzcGIujU0oppcJvZoELv4GS8t7v+i0tqwGImvp9PZkzNpPjxmXy6PtltHl9R93fU9eiwzyVUiGliV+I5LsGXsvvpy9voKnNyy8vn6E9f0oppYaEGe50gKPW81tSWk1aQgxT89LDEVZI3bFgAlX723hhZflR9y2vbdYVPZVSIaWJX4i4MxLxDGCo57ub9vCv1bu5Y8EEinJSQxCZUkopFX4jUuJxZyT2Os/PGMPSshrmF47AOQQ6Pk8uymKGO52HF5fh7aWGYWuHj+rGdl3RUykVUrYnfiLyuIjsEZGSLtsyReRNEdkS/JhhZ4wDMZA7fo1tXr734jqKRqZw22mFIYpMKaWUskdxgavXO347apopr2vhxAnRPb+vk4hw+2kT2LmvmVfWVfS4n67oqZQKB9sTP2AhcO5h2+4B3jbGFAFvBz+PKvkZiTS0etnf2vcaPr95/TMq9rdy/+UzonYlM6WUUgPXXWfoYa+LiPxRREpFZK2IzAp3jIMx0+3CU9tCdWP3dW6XlFUD0Vm/rydnT8mhaGQK//tuKX6/6XafzsXg8l1J4QxNKTXM2J74GWPeB/Ydtvli4Ing8yeAS8IalAU6V+Ls6wIvK3bU8sSy7Vx7/Bhmj4m6G5xKKaWssZAjO0O7Og8oCj5uBh4OQ0yWKS4I1OXrqZ7f0rIactLiKcxODmdYIeVwCLcvKGRzVSNvbazqdh+PFm9XSoWB7YlfD3KMMZ1jIiqBHDuDGYj+lHRo9/q55/m1jEpL4DvnTgp1aEoppSJUD52hXV0MPGkCPgJcIpIbnugGb1p+Gg6h23l+fr9hWVkNJxZmDbnatRfOyKMgM5H/fbcUY46861de10yMQ8hJS7AhOqXUcBGpid8BJvAO2e3YCBG5WUQ+FZFP9+7dG+bIetefIu4PLy5jy55GfnbJNFLiY0IdmlJKqeiVD3QtDOcJbosKSXExHJOT2u08v02VDexraueEITK/r6sYp4NbTy1kjaeeJaU1R7xeXtvCqPSEIbGgjVIqckVq4lfV2YMZ/Linu52MMY8aY+YYY+ZkZ2eHNcCjyUqOJy7GcdQ7fluqGnjw3S1cWJzHGZOj7samUkqpCBWpnaPFbhdrdtUdcedraXB+X7TX7+vJFbPd5KTF8+C7W454zVPbosM8lVIhF6mJ37+B64LPrwP+ZWMsA+JwCPmuRDy93PHz+w33vLCO5PgYfnThlDBGp5RSKkqVAwVdPncHtx0hUjtHZxSkU9vccUTJoyWl1YzPSiY3fWgmQPExTm46eTwfbd3Hih2HjuYtr2vRhV2UUiFne+InIs8Cy4CJIuIRkRuB+4GzRGQLcGbw86iT50rodXGXp5fvYMWOWn7wuSlkpcSHMTKllFJR6t/AtcHVPY8H6rvMiY8Kxe7AAi+rdx0c7tnh8/Pxtn2cMETv9nX64nGjyUiK5X/fLTuwrd3rp2p/q5ZyUEqFnO0TyowxV/fw0hlhDSQE8l2JLP6s++E1u+ta+OWizzi5KIvLZkXN9AyllFIhFOwMPQ3IEhEP8CMgFsAY8yfgVeB8oBRoBq63J9KBmzgqlfgYB2t21XFhcR4Aa3bV0dTu48QhVMahO0lxMdxw4jh+++Zm1u+uZ2peOpX1rfgNuF2a+CmlQsv2xG8oy3clsaehjTav75C6fMYYfvBSCT6/4ReXTh9yq5cppZQamF46QztfN8AdYQonJGKdDqbmpbHWc3BlzyWlNYjA/MKhfccP4Nr5Y3nk/a08tLiM//3iLDx1zYCWclBKhZ7tQz2Hss5hGxV1rYdsf2VdBW9v2sO3zj6Ggkwd06+UUmp4KS5wsa68Hq/PDwQKt0/NS8OVFGdzZKGXnhTLNfPH8Oq6CrbubTxYvF0TP6VUiGniF0IHavl1medX19zOj/+9nhnudL5ywlibIlNKKaXsM7PARUuHjy17Gmlu97JqZ+2QH+bZ1Q0njiPO6eDhxWV4alsQYcguaqOUihw61DOEukv8fv7KRmqbO3jyhuOIcWrerZRSaviZEVzgZa2njj0NbXT4zLAY5tkpOzWeq+eN5m8f7WDeuExyUhOIi9G/CZRSoaXvMiE0Kj0BEQ4M4/hwSzX/WOHhllPGMyUvzebolFJKKXuMHZFEWkIMq3fVs7S0mlinMG9cpt1hhdVNp4wHYGlZjQ7zVEqFhSZ+IRQX4yAnNYHyuhZa2n3c++I6xmUlc+cZRXaHppRSStlGRCguCBRyX1JWzbEFGSTFDa9BSPmuxAOreufrip5KqTDQxC/E8jMSKa9t4fdvbWbnvmbuu2w6CbHOox+olFJKDWHFbhefVTWwfvf+IV+/rye3nlqIQwJ3QJVSKtSGV/eaDfJciSzetIfl22q4el4Bx48fno2bUkop1VVxgQuf3wBw4oThs7BLV+OzU3jx9hMZm5VsdyhKqWFAE78Qy3cl0tDmJTs1nnvOm2x3OEoppVREKHanA5AU56Q4uNjLcFRcMHy/dqVUeGniF2LjsgLDN3568VTSE2NtjkYppZSKDCPTEnBnJDIxJ1VXtFRKqTDQxC/ELp6Zz/jsFOaOHV6rlSmllFJH88QN80iN1z9FlFIqHPTdNsQSYp2a9CmllFLdKMxOsTsEpZQaNnRshVJKKaWUUkoNcZr4KaWUUkoppdQQp4mfUkoppZRSSg1xmvgppZRSSiml1BCniZ9SSimllFJKDXGa+CmllFJKKaXUEKeJn1JKKaWUUkoNcWKMsTsGS4jIXmCHBafKAqotOE84aKyhEU2xQnTFq7GGRjTFCtbEO8YYk21FMMOBRW3kcPw5CxeNNTQ01tCJpniHW6w9to9DJvGzioh8aoyZY3ccfaGxhkY0xQrRFa/GGhrRFCtEX7wqINr+36IpXo01NDTW0ImmeDXWg3Sop1JKKaWUUkoNcZr4KaWUUkoppdQQp4nfkR61O4B+0FhDI5piheiKV2MNjWiKFaIvXhUQbf9v0RSvxhoaGmvoRFO8GmuQzvFTSimllFJKqSFO7/gppZRSSiml1BCniV+QiJwrIp+JSKmI3GN3PL0RkQIReVdENojIehG5y+6YjkZEnCKySkRetjuW3oiIS0T+KSKbRGSjiMy3O6aeiMg3gv//JSLyrIgk2B1TVyLyuIjsEZGSLtsyReRNEdkS/JhhZ4ydeoj118Gfg7Ui8qKIuOyMsVN3sXZ57VsiYkQky47YDtdTrCLy9eD3dr2I/Mqu+FTfRUsbqe1jaGkbaQ1tH0NH28jeaeJH4E0X+F/gPGAKcLWITLE3ql55gW8ZY6YAxwN3RHi8AHcBG+0Oog/+ACwyxkwCionQmEUkH7gTmGOMmQY4gavsjeoIC4FzD9t2D/C2MaYIeDv4eSRYyJGxvglMM8bMADYD3w13UD1YyJGxIiIFwNnAznAH1IuFHBariCwALgaKjTFTgd/YEJfqhyhrI7V9DC1tI62xEG0fQ2Uh2kb2SBO/gHlAqTFmqzGmHXiOwDc9IhljKowxK4PPGwi88ebbG1XPRMQNfA74i92x9EZE0oFTgMcAjDHtxpg6e6PqVQyQKCIxQBKw2+Z4DmGMeR/Yd9jmi4Engs+fAC4Ja1A96C5WY8wbxhhv8NOPAHfYA+tGD99XgP8B/h8QMRO3e4j1NuB+Y0xbcJ89YQ9M9VfUtJHaPoaOtpHW0fYxdLSN7J0mfgH5wK4un3uI4IaiKxEZCxwLLLc3kl79nsAvm9/uQI5iHLAX+Gtw2M1fRCTZ7qC6Y4wpJ9ALtBOoAMUeRW8AACAASURBVOqNMW/YG1Wf5BhjKoLPK4EcO4PphxuA1+wOoicicjFQboxZY3csfXAMcLKILBeR90Rkrt0BqaOKyjZS20fLaRsZWto+hoi2kQdp4hfFRCQFeB642xiz3+54uiMiFwB7jDEr7I6lD2KAWcDDxphjgSYiZ6jFIYJj/y8m0BDnAcki8mV7o+ofE1hSOGJ63noiIt8jMHzsabtj6Y6IJAH3Aj+0O5Y+igEyCQzD+w7wdxERe0NSQ422jyGhbWSYaPtoHW0jD6WJX0A5UNDlc3dwW8QSkVgCjdrTxpgX7I6nFycCF4nIdgLDg04Xkb/ZG1KPPIDHGNPZO/xPAo1cJDoT2GaM2WuM6QBeAE6wOaa+qBKRXIDgx4ge5iciXwEuAL5kIrf2TSGBP27WBH/P3MBKERlla1Q98wAvmICPCdzpiIiJ9qpHUdVGavsYMtpGhpa2j6GhbWQXmvgFfAIUicg4EYkjMAH43zbH1KNg5v8YsNEY8zu74+mNMea7xhi3MWYsge/rO8aYiOx1M8ZUArtEZGJw0xnABhtD6s1O4HgRSQr+PJxBhE6yP8y/geuCz68D/mVjLL0SkXMJDMG6yBjTbHc8PTHGrDPGjDTGjA3+nnmAWcGf50j0ErAAQESOAeKAalsjUkcTNW2kto+ho21kyGn7GALaRh5KEz8gOEH1a8DrBN4Y/m6MWW9vVL06EbiGQO/g6uDjfLuDGiK+DjwtImuBmcAvbI6nW8Ee138CK4F1BH6XH7U1qMOIyLPAMmCiiHhE5EbgfuAsEdlCoEf2fjtj7NRDrA8CqcCbwd+xP9kaZFAPsUakHmJ9HBgfXL76OeC6CO8tHvairI3U9jG0tI20gLaPoaNt5FGuqe2tUkoppZRSSg1tesdPKaWUUkoppYY4TfyUUkoppZRSaojTxE8ppZRSSimlhjhN/JRSSimllFJqiNPETymllFJKKaWGOE38VEQTESMiv+3y+bdF5McWnXuhiFxhxbmOcp0rRWSjiLxrwbnuFpGkLp83DuJcuSLy8mBjCgcRyRaR5SKySkROPuy1p0XkMxEpEZHHg8WbEZELROQn9kSslFKhpe3jEefS9lHbR3UUmvipSNcGXCYiWXYH0pWIxPRj9xuBm4wxCyy49N1A0lH36ptvAn+26FwDIiLOPu56BrDOGHOsMeaDw157GpgETAcSga8Gt78CXNj1DwGllBpCtH08lLaP2j6qo9DET0U6L4Giq984/IXDeyQ7e/dE5DQReU9E/iUiW0XkfhH5koh8LCLrRKSwy2nOFJFPRWSziFwQPN4pIr8WkU9EZK2I3NLlvB+IyL+BDd3Ec3Xw/CUi8svgth8CJwGPicivD9v/NBF5X0ReCfbI/UlEHMHXHg7GtV5E/ju47U4gD3i3a++oiPxcRNaIyEcikhPcdmUwjjUi8n4P39vLgUXB/b8S/H4tFpEtIvKjLuf/ZvBcJSJyd3Dbd4LxICL/IyLvBJ+fLiJPB5+fLSLLRGSliPxDRFKC27eLyC9FZCVw5WHfk7Ei8k7w+/62iIwWkZnAr4CLJVAoNrHrMcaYV00Q8DHgDm43wGLggh6+fqWUimbaPmr7qO2j6h9jjD70EbEPoBFIA7YD6cC3gR8HX1sIXNF13+DH04A6IBeIB8qB/w6+dhfw+y7HLyLQAVIEeIAE4Gbg+8F94oFPgXHB8zYB47qJMw/YCWQDMcA7wCXB1xYDc7o55jSgFRgPOIE3O78eIDP40Rk8fkbw8+1AVpdzGODC4PNfdYl7HZAffO7q5trjgBVdPv8KUAGMINArWALMAWYHz5UMpADrgWOB44F/BI/9gECDEgv8CLgFyALeB5KD+/wX8MMuX8P/6+H/+z/AdcHnNwAvdYnvwaP8rMQCK4GTu2z7EvCA3T/H+tCHPvRh9QNtH7V9NNo+6qN/D73jpyKeMWY/8CRwZz8O+8QYU2GMaQPKgDeC29cBY7vs93djjN8YswXYSmBIxNnAtSKyGlhO4M2+KLj/x8aYbd1cby6w2Biz1xjjJTC84pQ+xPmxMWarMcYHPEug9xPg88Eev1XAVGBKD8e3A53zEFZ0+dqWAAtF5CYCjePhcoG9h2170xhTY4xpAV4IxnIS8KIxpskY0xjcfnLwWrNFJI3AcKNlBBrCkwk0dMcHY14S/D5eB4zpcq3/6+HrmQ88E3z+FAe/H33xEPC+OXSoyx4Cf3QopdSQo+2jto99pO2jAgI9L0pFg98T6K36a5dtXoLDlYNDQOK6vNbW5bm/y+d+Dv25N4ddxwACfN0Y83rXF0TkNAI9mlY64voiMo5Az+1cY0ytiCwk0NPanQ5jzP9n787jqq7yx4+/DvsiICDK4gKu7KAiLo37nqZZVpozacuUTk5Nm9VM2dRM35ryZ3tj1lRmi5pm2qaFa1YqoKgJ5AYWiIgKogjChfP7415uoCxX5HIB38/Hg4f3fpbzeX8uwuF8znmfU1lGOaZ701rPVkr1ByYAyUqpvlrrU1XOK66hzJo+i5qD1rpMKZWB8Unjj8BeYDjQHUgDumGsKKfXUkSjfo6moTd+GJ+mVuWC8V6FEKK1kvqxZlI/IvWjqE56/ESLoLU+DazAmAheKRPjUAuASRiHMlyum5RSdqa8hq7AL8B6YI76ffarnkop93rK2QkMVUq1U8aE7OnAFguuH6+UCjFVzLcA2zAO3SkCzphyEsZXOf4s4FFfoUqpblrrHVrr+RifXHa66JADVH+yCzBaKeVjyhG4HuNT0e+B65VSbqbPYIppG6Z/H8Y4ZOV7YDaw21TRbgeuUUp1N8XjrpTqWf/HwY/ANNPrGVWuVde93gWMBaZrrSsu2t0T47AcIYRolaR+NJP68dJ7lfpRVCMNP9GS/D+MY+MrvY2xMtmDcQhEQ56S/YqxUvoGmK21LgHewZicvksp9TPwFvX0jmutc4DHgE3AHoz5AWssuH4i8DrGp4AZGIeN7ME4hCUd47COH6ocvxhYp+qf+vrFykR6jJXFnoviLQIOV1Y8JjuBVRifTq7SWidprXdhzPXYiXFYzzta692m47/HOCTmJ611LsZ8jO9N5edhfNr5iVJqL8ahLqEWfB5/BW43nfMnjDkn9VkEdAB+MiW3z6+ybzjG2cuEEKI1k/pR6seaSP0oqlG/94ILIZqSaWjMw1prm8yqpZSaAvTVWj+hlJqFMcF+ri1isQbT0+CPtdYjbR2LEEIIy0n9aF1SP169JMdPiKuU1nq1UsrX1nFYUWfgIVsHIYQQomWR+lG0VtLjJ4QQQgghhBCtnOT4CSGEEEIIIUQrJw0/IYQQQgghhGjlpOEnhBBCCCGEEK2cNPyEEEIIIYQQopWThp8QQgghhBBCtHLS8BNCCCGEEEKIVk4afkIIIYQQQgjRyrWaBdzbtWung4ODbR2GEEKIJpCcnHxSa+1n6zhaCqkjhRDi6lBX/dhqGn7BwcEkJSXZOgwhhBBNQCl11NYxtCRSRwohxNWhrvpRhnoKIYQQQgghRCsnDT8hhBBCCCGEaOWk4SeEEEIIIYQQrVyryfETwprKysrIysqipKTE1qEIcVVxcXGhY8eOODo62joUIYQQokWzasNPKTUOeAWwB97RWj9/0f4uwLuAH3Aa+KPWOsu0rxzYZzr0V631JGvGKkRdsrKy8PDwIDg4GKWUrcMR4qqgtebUqVNkZWUREhJi63CEEEKIFs1qQz2VUvbAG8B4IByYrpQKv+iwBcAHWuto4BnguSr7irXWsaYvafQJmyopKcHX11cafUI0IaUUvr6+0tMuhBBCNAJr5vjFA4e01ke01qXAMmDyRceEAxtNrzfVsL/JFF0w8NiqvXyXmmurEEQzJ40+IZqe/NyJy1VSVs4L69I5W1Jm61CEEKJZsWbDLwj4rcr7LNO2qvYAN5heTwE8lFK+pvcuSqkkpdR2pdT1VowTAFdHe77Yc4xtB/OsfSkhGsTe3p7Y2FhiYmLo06cPP/74IwDHjh1j6tSpNo6ubm3atAEgMzOTyMjIGo/Jyclh4sSJAGzevBmlFO+88455f0pKCkopFixY0KAYUlJS+Prrry/7vAMHDnDttdfSo0cP+vTpw80330xu7uU9IKq8/9rk5eUxbty4y45NtFxKqXFKqV+UUoeUUo/VsH+2UmqfUipFKbWtcsSMUipYKVVs2p6ilFrU9NE3bz8dOcWbmw/zzb7jtg5FCCGaFVvP6vkwMFQptRsYCmQD5aZ9XbTWccCtwMtKqW4Xn6yUutvUOEzKy7uyBpudnaKXvwdpx89eUTlCWIurqyspKSns2bOH5557jscffxyAwMBAVq5c2SjXKC8vr/8gK1m4cCF//vOfze8jIyNZsWKF+f0nn3xCTExMg8tvSMOvpKSECRMmMGfOHA4ePMiuXbv4y1/+gqW/bwwGg0XH+fn5ERAQwA8//HBZ8YmWycJUiI+11lFa61jgBWBhlX2Hq6RCzG6aqFuOYwXFAOzIOG3jSIQQonmxZsMvG+hU5X1H0zYzrfUxrfUNWuvewD9M2wpM/2ab/j0CbAZ6X3wBrfVirXWc1jrOz8/vigMOC/AkPacQrfUVlyWENRUWFuLt7Q1U70V7//33ueGGGxg3bhw9evRg3rx55nPmzJlDXFwcERERPPXUU+btwcHBPProo/Tp04fnn3+ePn36mPcdPHiw2vtKhw4dYtSoUebex8OHD3Pu3DlGjhxJnz59iIqKYs2aNZd1T6tWrarW69WlSxdKSkrIzc1Fa826desYP368eX9KSgoDBgwgOjqaKVOmkJ+fD8CwYcN49NFHiY+Pp2fPnnz//feUlpYyf/58li9fTmxsLMuXL6eoqIg77riD+Ph4evfuXWO8H3/8MQMHDuS6664zbxs2bBiRkZFkZmYyePBg+vTpU60HdvPmzQwePJhJkyYRHl79b3mtNY888giRkZFERUWxfPly877rr7+ejz766LI+M9Fi1ZsKobUurPLWHZCKyULZ+caG387MUzaORAghmhdrzuqZCPRQSoVgbPBNw9h7Z6aUagec1lpXAI9jnOETpZQ3cF5rfcF0zDUYn3haVWiAJx/t+JWcMyUEtnW19uWEuCzFxcXExsZSUlJCTk4OGzdurPG4lJQUdu/ejbOzM7169eKvf/0rnTp14tlnn8XHx4fy8nJGjhzJ3r17iY6OBsDX15ddu3YBkJCQQEpKCrGxsbz33nvcfvvtl1xjxowZPPbYY0yZMoWSkhIqKipwcnJi9erVeHp6cvLkSQYMGMCkSZMsytHKyMjA29sbZ2fnatunTp3Kp59+Su/evenTp0+1/bfddhuvvfYaQ4cOZf78+Tz99NO8/PLLgLGnbefOnXz99dc8/fTTJCQk8Mwzz5CUlMTrr78OwN///ndGjBjBu+++S0FBAfHx8YwaNQp3d3fzNX7++Wf69u1bY8zt27fnu+++w8XFhYMHDzJ9+nSSkpIA2LVrFz///PMlM1F+9tln5l7bkydP0q9fP4YMGUJAQABxcXE88cQT9X5WolWoKRWi/8UHKaXuBR4EnIARVXaFmEbKFAJPaK2/r+kiSqm7gbsBOnfu3DiRtwDZph6/304Xk3OmmAAvqc+FEAKs2PDTWhuUUnOB9RiXc3hXa71fKfUMkKS1XgsMA55TSmlgK3Cv6fQw4C2lVAXGXsnntdap1oq1Upi/BwDpxwul4Sdq9fQX+0k9Vlj/gZchPNCTp66LqPOYyqGeAD/99BO33XYbP//88yXHjRw5Ei8vL2O54eEcPXqUTp06sWLFChYvXozBYCAnJ4fU1FRzw++WW24xn3/XXXfx3nvvsXDhQpYvX87OnTurlX/27Fmys7OZMmUKYFxnDYxrHf79739n69at2NnZkZ2dTW5uLv7+/vXef05ODjX12t98883ccsstpKenM336dHOv2pkzZygoKGDo0KEAzJw5k5tuusl83g03GFOH+/btS2ZmZo3X/Pbbb1m7dq05Z7CkpIRff/2VsLCweuOtvN+5c+eSkpKCvb09Bw4cMO+Lj4+vcfmBbdu2MX36dOzt7enQoQNDhw4lMTGRSZMm0b59e44dO2bRtcXVQWv9BvCGUupW4AlgJpADdNZan1JK9QU+V0pFXNRDWHn+YmAxQFxc3FXTY5idX4y3myP558vYmXGaybEXTy8ghBBXJ6uu46e1/hr4+qJt86u8Xglckpyktf4RiLJmbDXpaWr4peWcZURoh6a+vBAWGzhwICdPnqwx16xqr5i9vT0Gg4GMjAwWLFhAYmIi3t7ezJo1q9oU+VV7uW688UaefvppRowYQd++ffH19cUSH330EXl5eSQnJ+Po6EhwcLDF0/C7urrWeKy/vz+Ojo589913vPLKK+aGX30qP4PK+6+J1ppVq1bRq1evWsuJiIhgy5YtNe576aWX6NChA3v27KGiosLcAIbqn6elSkpKcHWVB05XiXpTIS6yDPgvgNb6AnDB9DpZKXUY6AkkWSfUlie7oJihPf1ISDtBYqY0/IQQopJVG34tjaeLIx29XUnLadzeHNG61Ncz1xTS09MpLy/H19eX8+fP13t8YWEh7u7ueHl5kZubyzfffMOwYcNqPNbFxYWxY8cyZ84c/ve//12y38PDg44dO/L5559z/fXXc+HCBcrLyzlz5gzt27fH0dGRTZs2cfToUYvvp2fPnrX2zD3zzDOcOHECe3t78zYvLy+8vb35/vvvGTx4MEuXLjX3/tXGw8ODs2d/n7xp7NixvPbaa7z22msopdi9eze9e1dPJb711lt57rnn+Oqrr5gwYQIAW7duxcfHhzNnztCxY0fs7OxYsmSJRRPjDB48mLfeeouZM2dy+vRptm7dyosvvggYZw+tbcZT0epYkgrRQ2t90PR2AnDQtN0PY4pEuVKqK9ADONJkkTdzZeUV5BaW0NnHjb5dvNkpE7wIIYSZrWf1bHbCAjxJl5k9RTNUmeMXGxvLLbfcwpIlS6o1huoSExND7969CQ0N5dZbb+Waa66p8/gZM2ZgZ2fHmDFjaty/dOlSXn31VaKjoxk0aBDHjx9nxowZJCUlERUVxQcffEBoaKjF9+bu7k63bt04dOjQJfsGDRrE9ddfuqLLkiVLeOSRR4iOjiYlJYX58+dfckxVw4cPJzU11Ty5y5NPPklZWRnR0dFERETw5JNPXnKOq6srX375Ja+99ho9evQgPDycN998Ez8/P/7yl7+wZMkSYmJiSE9Pt6iXb8qUKURHRxMTE8OIESN44YUXzENhN23aZG5citZNa20AKlMh0oAVlakQSqlJpsPmKqX2K6VSMOb5zTRtHwLsNW1fCczWWkvrxuT4mRIqNAS2dSU+xIcDuefILyq1dVhCCNEsqNYyg2VcXJyunFjhSiz89hde33SI1GfG4eJo2R/VovVLS0uzOPerNViwYAFnzpzhX//6V5Ndc/Xq1SQnJ/Pvf/+7ya7ZnAwZMoQ1a9aYZ2sVv6vp508plWxa8kdYoLHqyOZu+5FTTFu8naV3xuPiaM9Ni35i8Z/6Miai/lxjIYRoDeqqH2Wo50VCAzyp0HDoxDkig7xsHY4QTW7KlCkcPny41llDrXndU6euzunX8/LyePDBB6XRJ8QVqlzKIaitK0Herjg52LEz47Q0/IQQAmn4XSLUNMFLak6hNPzEVWn16tU2u/Zdd91ls2vbkp+fX43DWYUQl6dy8fbAtq44O9gT26ktiZkyElYIIUBy/C7RxdcdF0c70nMkz08IIYRoSbILimnXxtmcqtE/xIefjxVy7kLNs/sKIcTVRBp+F7G3U/Ty9yT9uMzsKYQQQrQk2QXFBLX9fWmV+BAfyis0u47m2zAqIYRoHqThV4Mwfw/ScgppLRPfCCGEEFeD7Pxigrx/Xw+zT2dv7O2UDPcUQgik4VejUH8P8s+XkXf2gq1DEUIIIYQFtNamHr/fG37uzg5EBnqyQ9bzE0IIafjVJDTAEzBO8CJEc/Hqq68SFhbGjBkzWLt2Lc8//3yDy2rTpk0jRnblhg0bhjWmml+3bh29evWie/futX5eDzzwgHl9xJ49e9K2bVvzPnt7e/O+SZMmmbfPmDGDXr16ERkZyR133EFZWRlg/MPzvvvuo3v37kRHR7Nr164Gl/Xiiy+aj4+MjMTe3p7Tp0/XeV8ZGRn079+f7t27c8stt1Baaly/7P3338fPz89c3jvvvGM+59FHHyUyMpLIyEiWL19u3j548GDz8YGBgdUmn9m8eTOxsbFEREQwdOhQ8/bg4GCioqKIjY0lLu73maQfeeQRQkNDiY6OZsqUKRQUFADw3Xff0bdvX6Kioujbt2+TzyQrWpdTRaVcMFRUa/gB9Av2IeW3Ai4Yym0UmRBCNBNa61bx1bdvX91YCopKdZdHv9T/3Xyo0coULVtqaqqtQ9C9evXSv/32W6OU5e7u3ijlNJahQ4fqxMTERi3TYDDorl276sOHD+sLFy7o6OhovX///jrPefXVV/Xtt99ufl/b5/TVV1/piooKXVFRoadNm6bffPNN8/Zx48bpiooK/dNPP+n4+PgGl1XV2rVr9fDhw+u9r5tuukl/8sknWmut77nnHnNZ7733nr733nsvKffLL7/Uo0aN0mVlZfrcuXM6Li5Onzlz5pLjbrjhBr1kyRKttdb5+fk6LCxMHz16VGutdW5urvm4Ll266Ly8vEvOX79+vS4rK9Naaz1v3jw9b948rbXWu3bt0tnZ2Vprrfft26cDAwNr/Ixq+vkDknQzqHtayldj1pHNVcqv+brLo1/q9T/nVNu+/ucc3eXRL/XOjFM2ikwIIZpOXfWj9PjVwMvNkUAvF9Klx080E7Nnz+bIkSOMHz+el156iffff5+5c+cCMGvWLO677z4GDRpE165dWblyJQDnzp1j5MiR9OnTh6ioKNasWVPnNTIzMwkNDWXWrFn07NmTGTNmkJCQwDXXXEOPHj3YuXOnudzbb7+dqKgooqOjWbVqVbVy1q1bx0033WR+v3nzZiZOnAjAnDlziIuLIyIigqeeeqrGOKr2Rq5cuZJZs2YBxrXubrzxRvr160e/fv344Ycf6ryfnTt30r17d7p27YqTkxPTpk2r9zP45JNPmD59ep3HAFx77bUopVBKER8fT1ZWFgBr1qzhtttuQynFgAEDKCgoICcnp0Fl1RZXbfeltWbjxo1MnToVgJkzZ/L555/Xee3U1FSGDBmCg4MD7u7uREdHs27dumrHFBYWsnHjRnOP38cff8wNN9xA586dAWjfvn29n9eYMWNwcDCuHjRgwADzPfbu3ZvAwEAAIiIiKC4u5sIFGWIvGibbtJRD1Rw/MPb4AeyU4Z5CiKucNPxqERrgSfpxWdJBNA+LFi0iMDCQTZs28cADD1yyPycnh23btvHll1/y2GOPAeDi4sLq1avZtWsXmzZt4qGHHsL4IKh2hw4d4qGHHiI9PZ309HQ+/vhjtm3bxoIFC/i///s/AP71r3/h5eXFvn372Lt3LyNGjKhWxqhRo9ixYwdFRUUALF++nGnTpgHw7LPPkpSUxN69e9myZQt79+61+DO4//77eeCBB0hMTGTVqlXmNf+SkpJqXP8vOzubTp06md937NiR7OzsWss/evQoGRkZ1e6npKSEuLg4BgwYUGMjqqysjKVLlzJu3Lh6r3m5ZVU6f/4869at48Ybb6zzGqdOnaJt27bmBtbF97tq1Sqio6OZOnUqv/32GwAxMTGsW7eO8+fPc/LkSTZt2mTeV+nzzz9n5MiReHoah8AfOHCA/Px8hg0bRt++ffnggw/MxyqlGDNmDH379mXx4sU1fs7vvvsu48ePv2T7qlWr6NOnD87OzjWeJ0R9Khdv79jWrdp2b3cnenZoIw0/IcRVTxZwr0WovwdbD+RRaqjAyUHax+J3f1v3N1KOpzRqmbH+sbw87uUGn3/99ddjZ2dHeHg4ubm5gHEY99///ne2bt2KnZ0d2dnZ5Obm4u/vX2s5ISEhREVFAcYemJEjR6KUIioqiszMTAASEhJYtmyZ+Rxvb+9qZTg4ODBu3Di++OILpk6dyldffcULL7wAwIoVK1i8eDEGg4GcnBxSU1OJjo626B4TEhJITU01vy8sLOTcuXPExcVVy1lrqGXLljF16lTs7e3N244ePUpQUBBHjhxhxIgRREVF0a1bN/P+v/zlLwwZMoTBgwfXW35Dy/riiy+45ppr8PHxafC9XXfddUyfPh1nZ2feeustZs6cycaNGxkzZgyJiYkMGjQIPz8/Bg4cWO3+wdjbWLVhbTAYSE5OZsOGDRQXFzNw4EAGDBhAz5492bZtG0FBQZw4cYLRo0cTGhrKkCFDzOc+++yzODg4MGPGjGrX2L9/P48++ijffvttg+9RiOyCYto4O+DpeumfNvEhPny++xjlFRp7O2WD6IQQwvakRVOL0ABPDBWaQyfO2ToUIepVtZekslfvo48+Ii8vj+TkZFJSUujQoQMlJSUWl2NnZ2d+b2dnh8Fg+QLI06ZNY8WKFWzcuJG4uDg8PDzIyMhgwYIFbNiwgb179zJhwoQa41Hq9z/Kqu6vqKhg+/btpKSkkJKSQnZ2dp2T1AQFBVXrvcrKyiIoKKjW45ctW3bJMM/K47t27cqwYcPYvXu3ed/TTz9NXl4eCxcutOial1tWbXHVdg1fX18KCgrM36eq1/b19TV/L++66y6Sk5PN5//jH/8gJSWF7777Dq01PXv2NO87efIkO3fuZMKECeZtHTt2ZOzYsbi7u9OuXTuGDBnCnj17qt1j+/btmTJlinl4MBgnmPnyyy/56KOPqn2Ps7KymDJlCh988EG1hrAQl6tyRs+q/78q9Qv24dwFA2mSwiGEuIpJj18twvw9AEg/Xkh4oKeNoxHNyZX0zDWlM2fO0L59exwdHdm0aRNHjx5tlHJHjx7NG2+8wcsvGz+H/Pz8S3r9hg4dyh133MHbb2wvOAAAIABJREFUb79tHuZZWFiIu7s7Xl5e5Obm8s033zBs2LBLyu/QoQNpaWn06tWL1atX4+Fh/FkcM2YMr732Go888ggAKSkpxMbG1hpnv379OHjwIBkZGQQFBbFs2TI+/vjjGo9NT08nPz+fgQMHmrfl5+fj5uaGs7MzJ0+e5IcffmDevHkAvPPOO6xfv54NGzZgZ/f787NJkybx+uuvM23aNHbs2IGXlxcBAQENKguM38MtW7bw4Ycf1ntfSimGDx/OypUrmTZtGkuWLGHy5MmAcShwQEAAAGvXriUsLAyA8vJyCgoK8PX1Ze/evezdu5cxY8aYr7Vy5UomTpyIi8vvC2JPnjyZuXPnYjAYKC0tZceOHTzwwAMUFRVRUVGBh4cHRUVFfPvtt8yfPx8w5n2+8MILbNmyBTe334fhFRQUMGHCBJ5//nmuueaaWr+XQlgiO7+YwCqLt1cVH2LsMd+RcZrIIK+mDEsIIZoNq/b4KaXGKaV+UUodUko9VsP+LkqpDUqpvUqpzUqpjlX2zVRKHTR9zbRmnDUJaeeOk4Od5PmJFmvGjBkkJSURFRXFBx98QGhoaKOU+8QTT5Cfn09kZCQxMTFs2rTpkmPs7e2ZOHEi33zzjXlil5iYGHr37k1oaCi33nprrX/oP//880ycOJFBgwaZGytgXM4iKSmJ6OhowsPDWbRoEVB7jp+DgwOvv/46Y8eOJSwsjJtvvpmIiAgA5s+fz9q1a83HLlu2jGnTplXrKUhLSyMuLo6YmBiGDx/OY489Rnh4OGCcbCc3N5eBAwcSGxvLM888AxgnaunatSvdu3fnz3/+M2+++WaDywJYvXo1Y8aMwd3d3aL7+s9//sPChQvp3r07p06d4s477zR/dhEREcTExPDqq6/y/vvvA8a8wsGDBxMeHs7dd9/Nhx9+aM4RrPxcLu4FDQsLY9y4cURHRxMfH89dd91FZGQkubm5/OEPfyAmJob4+HgmTJhgzlecO3cuZ8+eZfTo0cTGxjJ79mwAXn/9dQ4dOsQzzzxjXjrixIkTNf6/EKI+2QXFl0zsUinAy5VOPq7szDjVxFEJIUTzoeqb7KHBBStlDxwARgNZQCIwXWudWuWYT4EvtdZLlFIjgNu11n9SSvkASUAcoIFkoK/WOr+268XFxenGXgds4mvf4+3mxNI7+zdquaLlSUtLM/eSCCGaVk0/f0qpZK11XC2niItYo45sTs5dMBD51HoeHRfKnGE1Dxl+aMUeNv1yguQnRtU4HFQIIVqDuupHa/b4xQOHtNZHtNalwDJg8kXHhAOVK/ZuqrJ/LPCd1vq0qbH3HTCOJhbqLzN7CiGEEM1d5YyetfX4AfQP8eF0USmH8yR3XwhxdbJmwy8IqDoveJZpW1V7gBtMr6cAHkopXwvPtbpQfw/yzl7g5DlZV0oIIUTjsiAdYrZSap9SKkUptU0pFV5l3+Om835RSo1t2sibn2OVa/i1rb3h1y+kcj2/WgcPiXqkHy/kF3kgLkSLZetZPR8GhiqldgNDgWyg3NKTlVJ3K6WSlFJJeXl5jR5cWIBxUpf0HPklJ4QQovGY0iHeAMZjHP0yvWrDzuRjrXWU1joWeAFYaDo3HJgGRGAcDfOmqbyrVpYFDb9gXzf8PJwlz+8K/OXDXcz5KLneNWGFEM2TNRt+2UCnKu87mraZaa2Paa1v0Fr3Bv5h2lZgybmmYxdrreO01nF+fn6NHT+hVWb2FEIIIRpRvekQWuuqlY87xpx3TMct01pf0FpnAIdM5V21svOLcbRXtPdwrvUYpRTxwT4kZkqPX0MczjvHkZNFHMkrYv8x+btIiJbImg2/RKCHUipEKeWE8enk2qoHKKXaKaUqY3gceNf0ej0wRinlrZTyBsaYtjUp3zbOtPdwJk16/IQQQjQui1IalFL3KqUOY+zxu+9yzr2aZBcUE+Dlil09i7PHh/iQXVBMVv75Joqs9UhIzQXAwU6xds8xG0cjhGgIqzX8tNYGYC7GBlsasEJrvV8p9YxSapLpsGHAL0qpA0AH4FnTuaeBf2FsPCYCz5i2NbnQAE/p8RNCCGETWus3tNbdgEeBJy7nXGunQzQn2fnn6xzmWSnenOdnkz8pWrSEtFwiAj0Z1suPtSnHqKiQ4Z5CtDRWzfHTWn+tte6pte6mta5s1M3XWq81vV6pte5hOuYurfWFKue+q7Xubvp6z5px1iXM34ODuecwlFfYKgQhOHXqlHmdM39/f4KCgszvS0tLbRLTsGHDaKzp4ZcsWUKPHj3o0aMHS5YsqfGYW265xXzPwcHB5sXbMzMzcXV1Ne+rXCMOIDk5maioKLp37859991nzktJSUlhwIABxMbGEhcXx86dOwHjgunXXXcdMTExRERE8N57v//qsbe3N19j0qRJXOy+++6jTZs25veLFi0iKiqK2NhY/vCHP5CamlpvvJUmTZpEZGRkvfcOsHfvXgYOHEhERARRUVGUlJTUWdann35KREQEdnZ21b5/H330kfkasbGx2NnZkZKSAkBpaSl33303PXv2JDQ0lFWrVtX4PRKXxaKUhiqWAddfzrnWTodoTo4VlNQ5o2elXh088HRxIDFTGn6X49S5CyQfzWdUWAeuiwnkeGEJO+UzFKLFcaj/kKtbaIAHpeUVHDlZRM8OHrYOR1ylfH19zX+E//Of/6RNmzY8/PDD5v0Gg6HawtstyenTp3n66adJSkpCKUXfvn2ZNGkS3t7e1Y5bvny5+fVDDz2El5eX+X23bt3Mn09Vc+bM4e2336Z///5ce+21rFu3jvHjxzNv3jyeeuopxo8fz9dff828efPYvHkzb7zxBuHh4XzxxRfk5eXRq1cvZsyYgZOTE66urjVeA4yLyOfnV88buvXWW82NurVr1/Lggw+ybt26OuMF+Oyzz6o1IOu6d4PBwB//+EeWLl1KTEwMp06dwtHRsc6yIiMj+eyzz7jnnnuqbZ8xYwYzZswAYN++fVx//fXmBuazzz5L+/btOXDgABUVFZw+LX/wNQJzOgTGRts04NaqByilemitD5reTgAqX68FPlZKLQQCgR7AziaJuhkqNVSQe7aEQAt6/OzsFP2CfdghPX6XZdMveVRoGB3ega5+7rg62rN2zzEGdPW1dWhCiMtg61k9m71Qf+PMnmk5MtxTNC+zZs1i9uzZ9O/fn3nz5vHPf/6TBQsWmPdHRkaSmZkJwIcffkh8fDyxsbHcc889lJdXnzx33bp13HTTTeb3mzdvZuLEiYCx8RQXF0dERARPPfVUjbFUbVysXLmSWbNmAZCXl8eNN95Iv3796NevHz/88MMl565fv57Ro0fj4+ODt7c3o0ePNjeQaqK1ZsWKFUyfPr3OzycnJ4fCwkIGDBiAUorbbruNzz//HDBO8lBYaPyZPnPmDIGBgebtZ8+eRWvNuXPn8PHxqbdBXV5eziOPPMILL7xQbbunp6f5dVFRkUULRp87d46FCxfyxBM1j+i7+N6//fZboqOjiYmJAYwPCOzt7essKywsjF69etUZxyeffMK0adPM7999910ef/xxAOzs7GjXrl299yLqZmE6xFyl1H6lVArwIDDTdO5+YAWQCqwD7tVaWzwjdmtz/EwJWkNHCxp+YFzW4UhekSzVdBk2pOXi7+lCRKAnbk4OjInowNf7cig1yGgoIVoSafjVo5tfGxztlSzkLpqlrKwsfvzxRxYuXFjrMWlpaSxfvpwffviBlJQU7O3t+eijj6odM2rUKHbs2EFRURFg7GGq/MP/2WefJSkpib1797Jlyxb27t1rcXz3338/DzzwAImJiaxatYq77roLMPaQVb7Ozs6mU6ffR6117NiR7OzaR7x9//33dOjQgR49epi3ZWRk0Lt3b4YOHcr3339vLrdjx441lvvyyy/zyCOP0KlTJx5++GGee+45AObOnUtaWhqBgYFERUXxyiuvYGdn/DVZUlJCXFwcAwYMMDcgAV5//XUmTZpEQEDAJbG+8cYbdOvWjXnz5vHqq6/WGS/Ak08+yUMPPYSbm5tF937gwAGUUowdO5Y+ffpUa3zWV1Zdli9fbm5cFhQUmMvr06cPN910E7m5uZddpriUBekQ92utI7TWsVrr4aYGX+W5z5rO66W1/sZW99AcZBUYJ2qxZKgn/J7nlyi9fhYpKStny4E8Roa1Nz/AmhQTSMH5MrYdat25o0K0Ni1zbFgTcnKwo5tfG9Klx09U+tvfoJZheg0WGwsvv3zZp910003mHp7abNiwgeTkZPr16wdAcXEx7du3r3aMg4MD48aN44svvmDq1Kl89dVX5kbEihUrWLx4MQaDgZycHFJTU4mOjrYovoSEBHNuG0BhYSHnzp0jLi6Od95553Ju1eyTTz6p1tsXEBDAr7/+iq+vL8nJyVx//fXs37+/jhLgv//9Ly+99BI33ngjK1as4M477yQhIYH169cTGxvLxo0bOXz4MKNHj2bw4MF4enpy9OhRgoKCOHLkCCNGjCAqKgpXV1c+/fRTNm/eXON17r33Xu69914+/vhj/v3vf7NkyZJa4z1y5AiHDx/mpZdeMvfU1nfvBoOBbdu2kZiYiJubGyNHjqRv3774+vrWW1ZtduzYgZubmzkv0GAwkJWVxaBBg1i4cCELFy7k4YcfZunSpZdVrhDWcqzAmNdqyeQuAJGBXrg62rMj4zTjoy59YCOq237kFOdLyxkV3sG8bXAPP9q6ObIm5RgjQjvUcbYQojmRhp8FwgI82X5EFnwVzY+7u7v5tYODAxUVvw+7qZzkQ2vNzJkzzb1atZk2bRqvv/46Pj4+xMXF4eHhQUZGBgsWLCAxMRFvb29mzZp1yeQhQLVhjFX3V1RUsH37dlxcXGq9blBQULWGU1ZWFsOGDavxWIPBwGeffUZycrJ5m7OzM87OxrW7+vbtS7du3Thw4ABBQUFkZWVVKzcoyDjj/ZIlS3jllVcAY+O5svfxvffe47HHHkMpRffu3QkJCSE9PZ34+HjzuV27dmXYsGHs3r0bV1dXDh06RPfu3QE4f/483bt359ChQ5d8tnPmzKkz3sTERJKSkggODsZgMHDixAmGDRtm/mxquveOHTsyZMgQ89DLa6+9ll27dtGmTZs6y6rLsmXLqjUufX19cXNz44YbbjB/Xv/73//qLUeIppKdb1y8PaBt7b9nqnJysKN357YywYuFEtJycXOyZ2CVfD4nBzvGRwbw+e5szpcacHOSPyeFaAlkqKcFQv09yDlTQsF528yeKJqZl1+GzZsb96sBvX0XCw4OZteuXQDs2rWLjIwMAEaOHMnKlSs5ceIEYJxM5ejRo5ecP3ToUHbt2sXbb79tHuZZWFiIu7s7Xl5e5Obm8s03NY8o69ChA2lpaVRUVLB69Wrz9jFjxvDaa6+Z39c0ocnYsWP59ttvyc/PJz8/n2+//ZaxY8fWeJ2EhARCQ0OrDeHMy8sz5yweOXKEgwcP0rVrVwICAvD09GT79u1orfnggw+YPNm4PnZgYCBbtmwBYOPGjeahk507d2bDhg0A5Obm8ssvv9C1a1fy8/O5cMGYD3Ty5El++OEHwsPDmTBhAsePHyczM5PMzEzc3NzMjb6DBw+aY/zqq6/M16gt3jlz5nDs2DEyMzPZtm0bPXv2rNZQq+nex44dy759+zh//jwGg4EtW7YQHh5eb1m1qaioYMWKFdXy+5RSXHfddebzN2zYQHh4eL1lCdFUsgvO4+fhjLND3aMfqooP8SE1p5DCkjIrRtbyaa3ZkHaCIT38cHGs/vlOjg2kuKychLQTNopOCHG55BGNBUIDKid4OcvAbjKDlWiebrzxRj744AMiIiLo378/PXv2BCA8PJx///vfjBkzhoqKChwdHXnjjTfo0qVLtfPt7e2ZOHEi77//vnlJhZiYGHr37k1oaCidOnXimmuuqfHazz//PBMnTsTPz4+4uDjOnTsHwKuvvsq9995LdHQ0BoOBIUOGsGjRIpKSkli0aBHvvPMOPj4+PPnkk+ahqPPnz8fHx5iDc9dddzF79mzi4uKAS3ujALZu3cr8+fNxdHTEzs6ORYsWmc9/8803mTVrFsXFxYwfP57x48cD8Pbbb3P//fdjMBhwcXFh8eLFgDGPbdasWURFRaG15j//+Q/t2rXjxx9/5J577sHOzo6Kigoee+yxehs/r7/+OgkJCTg6OuLt7W3+TOuKty413bu3tzcPPvgg/fr1QynFtddey4QJE+osZ/Xq1fz1r38lLy+PCRMmEBsby/r1682xderUia5du1Y75z//+Q9/+tOf+Nvf/oafn1+1ZS6EsLXsgmKLh3lWig/2QWtIPprP8F7t6z/hKrX/WCE5Z0p4cPSln1F8sA/+ni6sTclmUkygDaITQlwuVbmuVUsXFxenG2tNsYudOFtC/LMbeOq6cG6/JsQq1xDNW1paGmFhYbYOQ4irUk0/f0qpZK11nI1CanGsWUfa2rAXNxER5MUbt/ax+Jzi0nKi/rmePw/pyqPjQq0YXcv2csIBXtlwkKR/jMK3jfMl+5/9KpX3f8wk8R+jaOvmZIMIhRAXq6t+lKGeFvBr44yvuxPpOTKzpxBCCNFcVFRojp0psXgph0quTvZEdfRip8zsWaeEtFz6dvausdEHMDk2iLJyzTc/H2/iyIQQDSENPwsopQgN8CD9uMzsKYQQQjQXJ4suUGqosHgph6riQ3zYm1VASdlVuwRinXLOFPNzdmG12TwvFhHoSdd27qxNOdaEkQkhGkoafhYK9ffkl9yzlFe0jqGxQgghREtXOaNnoNflN/z6h/hQVq7Z/WtBY4fVKlRO2jIqrPaGn1KKSbGBbM84xfEzl874LIRoXqThZ6FQfw9KyirIPFVk61CEjbSWfFghWhL5uRN1yS4wNvwa0uPXt4sPSiHLOtRiQ1ouwb5udPNzr/O4STGBaA1f7pVePyGau3obfkopd6WUnel1T6XUJKWUo/VDa17CTDN7Sp7f1cnFxYVTp07JH6FCNCGtNadOnapzHUhbkzrStip7/BrS8PNydSTU31Py/GpQdMHAj4dOMSqsQ7V1WmvS1a8NUUFerN0jDT8hmjtLlnPYCgxWSnkD3wKJwC3ADGsG1tx0b98GeztF+vFCJkQH2Doc0cQ6duxIVlYWeXl5tg5FiKuKi4tLtbULmyGpI23oWEExHi4OeLo0rK0dH+zNiqQsysorcLSXQVCVvj+YR2l5RZ35fVVNjg3k31+lkXGyiJB2dfcQCiFsx5KGn9Jan1dK3Qm8qbV+QSl16SrMrZyLoz1d27mTJj1+VyVHR0dCQmQpDyHEJaSOtKGGrOFXVXyIL0t+Osr+Y4XEdmrbiJG1bN+lnsDL1ZG4Lt4WHT8xOpBnv05jbcox7h/Vw8rRCSEaypLHW0opNRDj08uvTNvsrRdS8xUa4ElajszsKYQQwkzqSBvKyr+yhl+/EGPDZmfGqcYKqcUrr9Bs+uUEI0Lb42BhL6i/lwv9Q3xYsydbUiKEaMYs+Yn+G/A4sFprvV8p1RXYZEnhSqlxSqlflFKHlFKP1bC/s1Jqk1Jqt1Jqr1LqWtP2YKVUsVIqxfS16HJuylpC/T3ILiimsKTM1qEIIYRoHhpcR4orl11Q3KD8vkrtPVwIaefOzoz8RoyqZdv9az6ni0oZGdb+ss6bFBPEkbwi9h+TB+RCNFf1Nvy01lu01pOA10zvj2it76vvPKWUPfAGMB4IB6YrpcIvOuwJYIXWujcwDXizyr7DWutY09dsy27HusICPAD45bgM9xRCCNHwOlJcucKSMs6WGK6oxw8gPtiHxMzTVMhyTQB8l5aLo71iSE+/yzpvfKQ/jvZKJnkRohmzZFbPgUqpVCDd9D5GKfVmPacBxAOHTJVgKbAMmHzRMRrwNL32Apr1b4vfZ/aUp1lCCCGuqI4UV+jYFSzlUFW/EB/OFJdx4IQ81AVISM1lQFffy54wx9vdiaE9/fhizzFpRAvRTFky1PNlYCxwCkBrvQcYYsF5QcBvVd5nmbZV9U/gj0qpLOBr4K9V9oWYhoBuUUoNtuB6Vufv6YKXqyNp0uMnhBDCqEF1pAWpEA8qpVJNaRAblFJdquwrr5IKsbYR76VFMS/lcIU9fv1DfABIlGUdOJJ3jsN5RXUu2l6X62ICyTlTImsjCtFMWZS1q7X+7aJN5Y10/enA+1rrjsC1wFLTekg5QGfTENAHgY+VUp4Xn6yUulsplaSUSmqKafaVUoT6e0iPnxBCCLPLrSMtTIXYDcRpraOBlcALVfYVV0mFmHRl0bdc5sXbr7Dh19HblQAvF3ZIw48NaScALju/r9Lo8A64OtqzRoZ7CtEsWdLw+00pNQjQSilHpdTDQJoF52UDnaq872jaVtWdwAoArfVPgAvQTmt9QWtd+fQ0GTgM9Lz4AlrrxVrrOK11nJ/f5Y1Fb6iwAE/Sj5+VYQxCCCGgYXVkvakQWutNWuvzprfbMdahoors/GKc7O1o18b5ispRStHPlOd3tc9ImZCWS6i/Bx293Rp0vpuTA6PDO/D1vhxKDRWNHJ0Q4kpZ0vCbDdyLcZhmNhBrel+fRKCHUipEKeWEcfKWi4ek/AqMBFBKhWFs+OUppfxMT0QxzZDWAzhiwTWtLtTfg/Ol5fyWf77+g4UQQrR2DakjLUmFqOpO4Jsq711Mo122K6Wuv/yQW4esgmIC27pgZ6euuKz4EB9yCy/w6+mrt27PLyol6Wg+oy1ctL02k2MDKThfxrZD1h+JJYS4PPUu4K61PolxfaLLorU2KKXmAusxrmn0rmmq62eAJK31WuAh4G2l1AMYJ3qZpbXWSqkhwDNKqTKgApittW4WYzAqJ3hJyzlLF193G0cjhBDClhpaR1pKKfVHIA4YWmVzF611tunB6Eal1D6t9eEazr0buBugc+fO1grRZo5d4VIOVcWb8vx2ZJy+auv2zQdOUF6hG5zfV2lwDz/aujmyJuUYI0KvrCwhROOqt+GnlHoPY6OsGq31HfWdq7X+GuOkLVW3za/yOhW4pobzVgGr6ivfFnp28EApSD9eyLhIf1uHI4QQwoYaWEdakgqBUmoU8A9gqNb6QpWys03/HlFKbQZ6Y0yJuDiGxcBigLi4uFY3hjE7v5hhvRonzaO7Xxu83RxJzDjNzXGd6j+hFUpIPUF7D2eigryuqBwnBzvGRwawJiWb86UG3Jzq/VNTCNFELBnq+SXwlelrA8blF85ZM6jmzNXJnhBfd9JzZGZPIYQQDaoj602FUEr1Bt4CJmmtT1TZ7q2Ucja9bofx4WlqI91Li3HBUM6JsxcIvMKJXSrZ2Snign3YeZXORllqqGDLgTxGhnVolKGzk2MDOV9aTkLaifoPFkI0GUuGelbreVNKfQJss1pELUBogAf7j8nMnkIIcbVrSB1pYSrEi0Ab4FOlFMCvphk8w4C3lFIVGB/ePm8aPXNVySkoAa58Rs+q+of48F1qLrmFJXTwdGm0cluCHRmnOHfBwKgGzuZ5sfhgH/w9XVibks2kmMBGKVMIceUa0v/eA2ic3wwtVKi/J1/vO07RBQPuzjKEQQghhJlFdaQFqRCjajnvRyDqCmNs8Rpr8faqKvP8dmac5rqrrLGSkJqLi6Md13Rv1yjl2dkprosJ4P0fMyk4X0pbN6dGKVcIcWXqHeqplDqrlCqs/Bf4AnjU+qE1X5UTvPyS27qGe5aUlfPwp3vIPFlk61CEEKJFkDrSNrJMDb+ObRu27EBNwgM8cXeyZ+dVtp6f1pqEtBMM7uGHi6N9o5U7OTaIsnLNNz8fb7QyhRBXpt6Gn9baQ2vtWeXfnhcPbbnahPp7ALS6PL9dR/NZmZzFi9/+YutQhBCiRZA60jay84tRCvy9Gm9IpoO9HX26eJN4leX5peWcJbugmNFXOJvnxSICPenazp21KbKYuxDNRa3jFJVSfeo6UWu9q/HDaRk6ervSxtmB9OOtK88v7bixIfv1vhwO552jm18bG0ckhBDNk9SRtpVdUEx7D2ecHCyZo85y8cE+/L/vDlxVwxMT0nJRCoaHNm4Wj1KKSbGBvLLhIMfPlDRqI10I0TB1Jaj9vzr2aWBEI8fSYiilCPX3IC2nlTX8cgrxdHGgtLyC/24+zIKbYmwdkhBCNFdSR9pQdn5xo07sUqkyzy8pM59RV7iQeUuxIS2X2E5t8fNwbvSyJ8UE8nLCQb7ce4y7Bndt9PKFEJen1oaf1np4UwbS0oQGeLBm9zG01phmXGvx0o8XEtOpLd3bt+GDn45y/8gedPJpvPwJIYRoLaSOtK1jZ4qJ7ti20cuN6dQWJ3s7dmaevioafrmFJezJOsMjY3tZpfyufm2ICvJi7R5p+AnRHFg0RkIpFamUulkpdVvll7UDa+7CAjw5e8FAtinBvKUzlFdwIPccof4e3D2kK3YK3tp6yXrAQgghLiJ1ZNOqqNDkFJRYpcfPxdGemE5e7LhKJnjZYFpnb7QVG7mTYwPZm3WGDJk4Tgibs2RWz6eA10xfw4EXgElWjqvZC/U3zuzZWiZ4yTxVRKmhgrAATwK8XJnatyMrkrI4UVhi69CEEKLZkjqy6eWdu0BpeUWjLuVQVXyID/uzz1B0wWCV8puThLRcOvu40aO99XL6J0YHohQyyYsQzYAlPX5TgZHAca317UAM4GXVqFqAXpUze7aSCV7STA3Yygbt7KHdMJRX8Pb3R2wZlhBCNHdSRzaxrHzTGn5trTNZSL9gHwwVmt2/Flil/ObifKmBbYdOMiqsg1VTVvy9XOgf4sOaPdlora12nYsVl5ZzMPdsk15TiObOkoZfsda6AjAopTyBE0An64bV/LVxdqCzj5u5wdTSpeUU4mCn6NbeHYAuvu5Mjg3iox2/crqo1MbRCSFEsyV1ZBOrTLEIasQ1/Krq28UbOwU7W/myDtsOnqTUUMGosMadzbMmk2KCOJJXxP5jTfOwPL+Y0iuEAAAgAElEQVSolJvf+onRL21l7MtbWbTlMMfPyAgmISxp+CUppdoCbwPJwC7gJ6tG1UKE+nuQ1kp6/NKPn6WbXxucHX5fvPUvw7pxvrSc937IsGFkQgjRrEkd2cSOVTb8rDTU08PFkYhAL3ZmnLJK+c1FQlouHi4O9DPNZGpN4yP9cbRXrN1j/eGeJ86WMG3xdn7JPctfR3THw8WR579JZ+DzG/jT/3bw+e5szpe2/mG8QtSkruUcANBa/8X0cpFSah3gqbXea92wWoawAE8S0nIpLi3H1cm+/hOasfScwkt++ffo4MG4CH/e/zGTPw/piqeLo42iE0KI5knqyKaXnV+Ml6sjbZzr/ROmwfoF+/DRjqNcMJRXeyDaWpRXaDaknWB4r/Y42jfuWog18XZ3YkgPP77Yc4zHxoViZ2edoaXZBcXMeHs7J85e4P1Z/RjUvR0PARkni1i9K4vPdmfzt+UpuDvZMz4qgBv6BDEgxNdq8QjR3FgyuctapdStSil3rXWmVGi/CwvwoELDwRMte7jnmfNlHDtTQliA5yX77h3enbMlBpb+dNQGkQkhRPMmdWTTyy6wzhp+VcWH+HDBUMHP2Weseh1bSfmtgFNFpU26ZMWk2EByzpSQaKUhtJkni7h50U+cKipl6Z3xDOrezrwvpJ07D47pxdZHhrP87gFMjA5k3c/HufXtHQx+YRMvrk/ncN45q8QlRHNiyWOe/wf8AUhVSq1USk1VSlkno7qFaS0ze1ZOUBNqmrCmqqiOXgzt6ce72zIoLi1v6tCEEKK5kzqyiWXnFxNo5YZfv2BvgFa7rENCWi4OdoqhPf2a7Jqjwzvg6mjPGisM9zyQe5ab3vqJ86UGPvnzAPp2qXn4qp2don9XX/4zNZrEf4zilWmxdG/fhv9uPszI/7eF69/4gaU/ZZIvcxuIVqrehp/WeotpKEtX4C3gZozJ6/VSSo1TSv2ilDqklHqshv2dlVKblFK7lVJ7lVLXVtn3uOm8X5RSYy2/pabT2ccNV0f7Fp/nl5ZjjL+mHj+AuSO6c6qolE92/tqUYQkhRLN3JXWkuHxaa7ILiulopfy+Sr5tnOnevg2JrbThtyEtl/gQH7xcmy6Fw83JgdHhHfh6Xw6lhopGK3df1hlueesnFLDinoFEBlk2qa6rkz2TY4NYckc82x8fyT+uDaOkrJwn1+wn/v8SmL00mW/3H2/UWIWwNUsXcHcFbgRmA/2AJRacYw+8AYwHwoHpSqnwiw57Alihte4NTAPeNJ0bbnofAYwD3jSV16zY2Sl6+XuYG04tVfrxs3i7OdLew7nG/f2Cfegf4sPirUe4YJBePyGEqKohdaRomMISA+cuGKw+1BOMdV9SZj7lFa1rOYCjp4o4kHuOUWFNN8yz0uTYQArOl7HtUF6jlJeUeZpb396Om5MDK+4ZSI8Ol45cskR7Txf+PKQr39w/mK/u+wO3DQwm6ehp7l6aTP//S+CpNT+z57cCWRpCtHiW5PitANKAEcDrQDet9V8tKDseOKS1PqK1LgWWAZMvOkYDld1MXkBl//9kYJnW+oLWOgM4ZCqv2QkL8CD9eMteJybt+FlC/T3rXMdn7ojuHC8sYVVydhNGJoQQzdsV1JGiAbLzrTujZ1X9Q3w4e8Fg1Ye72QXF/G3Zbtb9fNxq17hYQpqxQ9oWDb/BPfzwcnVkTSMs5v7DoZP86X87aefhzKezBxLczv2Ky1RKERHoxZMTw9n++EjeM00Q80nib0x+4wdGv7SVNzcfIvNk0RVfSwhbsKTH738YK7LZWutNpvWKLBEE/FblfZZpW1X/BP6olMoCvgYqK0tLzm0WwgI8KThfRm7hBVuH0iDlFZoDx8/WOsyz0h+6tyOmoxeLthzGUC7DHoQQwqRBdaQFqRAPKqVSTWkQG5RSXarsm6mUOmj6mtmI99Ls/b6Gn/UbfvGmma6tMRmJ1ppVyVmMe2krn6cc496Pd/Ht/qZp/CWk5tKrgwedfa2zDmJdnBzsuDYqgO9Sc69oSYWE1Fxufz+Rzj5uLL9ngFVyPh3s7Rge2p43bu1D4j9G8dwNUXi7OfLCul8YtmAzw17cxFNrfmZj+pXdixBNyZIcv/Vaa2uN75sOvK+17ghcCyxVSlk8r7BS6m6lVJJSKikvr3GGDVyuygleWmqe36+nz1NcVk5oQN3DI5RS3Du8O7+ePs8Xe62/Do8QQrQEDakjLUyF2A3Eaa2jgZXAC6ZzfYCngP4YR8I8pZTyvrK7aDmy888DWH1yl8prBLV1ZWcj5/mdLiplzoe7eOjTPYQFePLN/YOJCvJi7se72fyLddNDz5wvY2fmaUaFW3/R9tpMjg3kfGm5uefxcn2x5xizP0wm1N+DZXcPoL2H9edS8nJ1ZHp8Zz6dPYjv5w3n6UkRdPVrw4qkLO54P4nYp7/jj+/s4O2tRziQ27JHgdVFa82+rDO8tuEgb2w6xLKdv/Lt/uMkH80n82QRZ0vKmtW9a605d8FA0QUDFa1syHZDWW8RHMgGOlV539G0rao7MebwobX+yTQTWjsLz0VrvRhYDBAXF2eT72gv00yY6TlnGd7Ldr9IG8o8sYt/3T1+YBwW0quDB29uOszkmCBZ90YIIRrGnAoBoJSqTIVIrTxAa72pyvHbgT+aXo8FvtNanzad+x3GevSTJojb5rILinF2sKNdG6cmuV7/EB+2HsxDa11nOoSlNqWf4JGVezlTXMpj40P58+Cu2Nspltwez/S3t3PP0mTevz2egd18GyH6S20+cILyCs1IGwzzrBQf7IO/pwtrU44xKSbwss5dkfQbj63aS98u3rw7qx8eNlhfuJOPGzMHBTNzUDAlZeUkZeaz5cAJthzI49mv03j26zQCvFwY2tOPoT39GNS9XZNOotPYKio0u38rYN3POXzz83GyTMOta+Nkb4dvGyd83J3wbeOMr3vlayd83Z3wdXfGp40T7Uz/ujvZ1/qzpbWmqLScwuIyCkvKKCw2VHldRmGJofq+kuqvz5YYzDm6SoGboz1uzg64O9nj5uSAu7M97s4OuDs54OZkeu1s2udUeezvx7k52RuPNR3z/9m78/ioi/OB45/ZzQU5IQRCEiABArkvglxyiRxWRVBU1FbRWqvVerQ/tYdVa6ti1WrrVS/wqBXUFqSiqJSjYFFuBJJwI+SCJCTkTvaY3x+7WRPIsSS7STY879drze73mO/sEjP7fGfmGYVtzppVa7S2vbBqjbbX3apBY9un7c+t2rav8Tbd6DyjUi4ZttwSdwZ+W4BYpVQMtqBtPnD9GcccA6YBbyml4gE/oAhYAfxDKfVnIAKIBTa7sa7tFtzLm8iQXh6b4CWnoByDgtgBAW0eazAofjZ1GPcs2ckXWYXMShrYCTUUQogep7npDGNaOf7HwGetnNvmVIjqPTvZGRdyjtXsfqbWW5isNbs+cufXl+/Nt1iZY7Kw/V0vjB0I/DRQa7JgtFh5Xil6+Rgx/lOxu9Exf9RQXW/G9HfY6mPEyw03V8NMFt61aAzLvdjp8tKd97zJSr3Fyo4nbV+enVFvsRJusvCuwUBvHyOHnndrFZ0WAFxqf1g1mK1WzBaN2WqLBHahMBoUXvaH0QNummtsU4HMFismq0ZrzUQUUw0KL6PC22AAZQ9c7AFLQ/DTEPQ07LNiO862x6bS/jgKgEIpUNhGlzX0GDYERWfywdZD9P0qjU3Pt/20vcb+2vG+GpXZUFcaAjV7FbXjE2iqxv4ocf5jbBeFoszPfX/fnCpZKTUbmGR/uV5r/e+2ztFam5VSdwGfA0ZgkdZ6r1LqMWCr1noF8EvgdaXUfdg+5QXa9i++1z5hPgswA3e6cbhph8WFBzrWwvM02YUVxPTzx8/buaSpl6VE8PzqA7yw5iAzE8NdcgdUCCE8WXvayHMo+4dAJjC5HefeBtwGEOfTM/5Wu6rnzVkNX9ItVo3R2L7rmq2aWpMFq9b4eBnx9TI0G+wYlG3Jg+p6M9X1Fvx9jC4NEjRgtmi82/k+XMnbqKi3aEwWKz7Gtmf41Jmt1JkteBkM9PIxOh0sdjaDsvV4+RgbBU/2AKrObKUO2xd7L2NDEGigu8SBDfU1WWyBqy0cstXT28uAl/Hs31vVEGXZXrVZfpuBImBQqlHgZmgUyDUO8GyvUW1dtX0aB4Ha/qSh/g2hY3MjWtVZT5yjWnnlam0GfkqpJ7ENS3nPvulupdQ4rfVv2jpXa/0ptqQtjbc93Oh5FjChhXMfBx5v6xrdQfzAINbtL6LObMHXq9utOtGqnMJyUqKcvwtsNCjumDyMB/75Lev2F3nk8FYhhHCVdraRTk1nUEpdDPwWmKy1rmt07pQzzl3X3EXOnA6RtnVrW2+n28v842ouju/PwqtSOuV6WmtGP76aSbFh/PnatHM6t95s5a//OcDL6w4yMLgXf74mlTFD2x7CmV9Ww9V/20RVvZklt4115BLoqK8OFnPjG9/w+o2ZjEvouqGeYPtcpz27ngFBfrx/29hWj3v2i/28uPYgs1MjePaaVLydCBS7o+LKOjYcKGL9viL+e6CYU1X1KAUpkcFMHhHGhbFhDA3zJ9Tfp9NubtSaLGw8UMxnewpZnX2C0zUmevsYmRrXn0uSwpk6sj/+vp3Tuy5cqJXfH2f+NS8F0hoylSml3sY26bzNwO98ETcwEItVc/BkJYkRzi0c2h1U1Jo4fqqG+aMHn9N5c9IjeX71fl5ac5ApI8Kk108IcT5rTxvZ5lQIpVQ6tgXhZ2mtG2fB+Bx4olFClxnAr13xRrq7WpOF4sq6Tkns0kApxejovnxzjgleDpyo4N6lO9mbX87Vo6J4+PIEp+ejRYT04v2fjOXqV//HD9/4hiW3jWN4/7anY7Tly6wT+HoZuHB4v7YPdjOlFLPTIvjLfw5QeLqW8OCzE7RorXnskywWf3WU+aMH8fjcZI8YJtmSfgG+zE2PYm56FFarZk/+adbvK2L9/iJeXHuQv645CICft4GoPr2JDOlFVJ9eRPXpbf9pe94voGOBYXW9mfX7ivh0TyFrc05SWWcm0M+L6fEDmJUUzqQRYU6PAhOex9kwPgRo+KvnOZFNJ2m4G5dTUOFRgd++wgrANlT1XPh4Gfjp5GE8smIv3xw5xVgn7mAKIUQPdk5tpJNTIZ7GNn3oQ/uXvGNa69la61NKqT9gCx4BHmtI9NLTFZyuBTpnKYfGLojpy2d7Cskrq2nz2larZvH/jvLUqhwCfL149UejmJkYfs7XHBzam/duHcv81zZxwxtf88FPxzEktP0JH7TW/CfnBBcO70cvn+7xpX52qm3qyCff5nPrxKFN9lmsmt/8azdLtx7n5gnRPHxZQo+6yWwwKFKiQkiJCuHn02I5XW1i63enOH6qmtzSGnJLa8grq+Hb3DJKq01NzvX1MhDZTEAYGdKLQX160S/A96zkexW1JtbknOSz3YWs23+SWpOVPr29uTR5IJckhzN+WD98vDyzJ1WcG2cCvyeBHUqptdgGnk4Czlpz6HwWHdobXy+DxyV4yW4I/NpYw685144exAtrDvLS2oMS+AkhzmftaiOdmApxcSvnLgIWtbfCnqozF29vbHS0fT2/I6eITG85j05eWQ33f7iL/x0q4eL4/jx5ZQphgb7tvu7w/gH8/dYxzH/ta65//Rs+vH1cu3s795+o5PipGn42ZXi76+NqQ8MCSI4MZsWupoGfyWLllx/sYsWufO6aOpxfzhjRo4K+5gT39m4x02plnZm80hpySxuCwmpHYLgn7zSnquqbHO/jZSAqpJcjODxZXsuGA8XUW6yEBfpy9ahBXJIUzgUxffHy0GGzov3aDPy01u8rpdYBo+2bHtRad84qox7Cy2hgxIBAcuyBlKfIKSgn0M+LiGaGWLTFz9vIrRNjWPhZDjuPl5E2yPOzxQkhxLmSNrLz5JXZ1vDr7B6/+IFBBPp68c2RU8xpJvDTWrN8Zx4Pf7wXi1Wz8Mpkrh09yCXBSlx4EO/eMobrX/+a61+39fz1Dzr3Nnt19gkApsV1r3n5s1MjePzTbI4UVxHTz59ak4Wfv7+DL7NO8MCskd0qUO0qAb5ejAwPdCwfdqaqOjN5ZY0DQ9vzvNIaPs8vpLePkR+OHcIPksPJGNxHluI6z7UY+CmlMs7YlGv/GaGUitBab3dftTxP/MBA1uS4d+FVV8sprCA+PKjdjdMPxw7hlXWHeHHNQd64KdPFtRNCiO5L2sjOl1dag0HR7HwwdzIaFKOi+7Dl6Nkjakur6vnt8t18uruQzCF9ePaa1A4NyWxOclQwb90ymh+9uZkb3viGJbeNJTTg3HoSv8w6QeqgkHYFje50WepAnvgsmxU78/nJpBh++u42Nhwo5vezE7lpfHRXV88j+Pt6MWJAICMGnNu0HXF+aq3H79lW9mngIhfXxaPFhQfxwdZciirqOjS0o7NYrZp9hRVcldHm8k8tCvD14uYJ0Ty/+gA5heUuyzwmhBAeQNrITpZbVsOAIL8uyep4QUxf1u3bR0llnSPoWrvvJA9+9C2l1fU8MGskP500zG3JR0YN6cubN41mweLN/OjNzbz/k7EE93YuWczJilp2Hi/j/2aMcEvdOmJgcC8uiO7Lsh25bDxYxLbvSvnTvBSuyRzU9slCiHPW4l9PrfVUbIurP6S1nnrGQxq0M8QNtN1p8ZT1/PLKaqisM7drfl9jC8ZH4+9j5KW1h1xUMyGE6P6kjex8+U4kV3GXMTH2eX5HS6muN/PbZbu5efEWQnp7s/zOCfxsynC3Z5wcNyyU127M5ODJSm5cvJmKWlPbJwFr7aORWppD1tWuSIvkaEk1O46V8Zf56RL0CeFGrd42s6enfrGT6uLRGnq7PCXBS5a9nuea0fNMIb19+OG4Iaz8Np/DRZWuqJoQQngEaSM7V15ZTacndmmQHBmCr5eBJVuOcelfN/KPzcf4ycQYVtx1Yadm8548IoyXbshgb95pfvzWVqrrzW2e82XWSSJDenW4vXeXS1MGcnF8f1790SguT43o6uoI0aM5M17iP0qpq1RPT6nUQX39fRgQ5EtOgWckeMkpqEApXDIm/NYLh+JtNPDKOun1E0Kcd6SN7AQWq6agrLbLevx8vAykDw5h3b4i6s1W/nHrWH57aUKXrHc2PWEAz12bxtbvTnHbO9uoNVlaPLam3sLGg0VMTxjQbTNjBvfy5o2bRnfbHkkhehJnAr+fAh8CdUqpcqVUhVLKM7q1Oln8wCDHEgndXU5hOUP69sbf19mlHFsWFujL/NGDWLYjj9zSahfUTgghPIa0kZ3gZEUtZqvush4/gJ9NGc5PJw3ls3snMm5Y1y5jdHlqBH+al8rGg8X87L3t1JutzR731cFiak1WLpagSgiBE4Gf1jpQa23QWvtorYPsryWLRzPiwoM4eLICk6X5P8DdSU5hBfEdnN/X2G2Th6EUvPbfwy4rUwghujtpIztHwxp+7V3HzhUmjQjj1z+IJ8jPuaQq7jZvVBSPz01iTc5J7lmyA3Mz3z1WZ58g0NeLC+xzFIUQ5zenUmMppfoopS5QSk1qeLi7Yp4ofmAgJovmcFFVV1elVdX1Zo6WVLk0C2dkSC+uTI9iyZbjnKyodVm5onMdPFnJne9tZ9yT/+Hhj/ewO/c0WuuurpYQ3Zq0ke6XV2YL/KK6MPDrjm4YM4TfXZbAZ3sK+b8Pd2Gxfv/32mrV/CfnJJNGhuHjJQt1CyGcWMBdKXUrcA8QBewExgKbkFTVZ2mc4KWlhTa7g32FFWj9fSZSV7ljyjA+3HacNzcc4dc/iHdp2cK9jp+q5vnVB1i2I5de3kbGDA1lyZbjvLPpO+LCA5k3Koq56ZHnvHaUED2dtJGdoyHw68qhnt3Vjy+ModZk4enP9+HnbeSJuckYDIpv805TVFHHdBnmKYSwc2aC1z3AaOBrrfVUpVQc8IR7q+WZhob542M0kF1Yzhzavz6eu+XY5yHGu3jdveh+/lyWEsHfv/6O2ycPo4+/j0vLF653oryWF9YcYOmW4xiU4scXxnD75GGEBvhyusbEv3fl8+G2XP64MpuFn+VwUVx/rs4cxJSRYV2ylpYQ3ZC0kZ0gr7SGPr296e3T8XnpPdGdU4dTa7LwwpqD+HkbeeTyBFZnncBoUEwZGdbV1RNCdBPO/AWt1VrXKqVQSvlqrXOUUiPdXjMP5G00MLx/QLfP7JlTUI6/j5EoN9w5vXPqcFbsymfx/47yi+ndb7FYYXOqqp5X1h3knU3fYbFq5l8wiLumxhIe7Oc4JriXNz8cO4Qfjh3C/hMVfLj1OMt25PFF1gn6BfgyNz2CqzMHuSQzrBAeTNrITtCVSzl4il9MH0FNvYU3Nh7B19vAupwiRkf3IaS33IQVQtg4E/jlKqVCgOXAl0qpUuA791bLc8UNDOSrg8VdXY1WZRdWEDcwCIMbFpsdGR7I9IQBvPXVEX4yMYbAbjIJXtiU15p447+HeXPjEWpMFuamR3HvxbEM6tu71fNGDAjkt5cm8MCsONbtK+LDrcdZ/NVRXt9whNSoYOZlDmJ2agTBveTfW5x3pI3sBHmlNcT08+/qanRrSil+e2k8tWYLr663JVp76FKZdiGE+F6bgZ/Weq796aNKqbVAMLDKrbXyYPHhQfxrex6nqurp2w2HOmqtySkod+siqXdNHc6XWSf4+9fHuGPKMLddRzivut7MW/87yqvrD3O6xsSlyQO5b3osw/ufW2+dt9HA9IQBTE8YQHFlHct35PHRtlx+t3wPf/gki5mJ4Vw9KooJw/thdMONBSG6G2kj3U9rTX5ZDRfG9uvqqnR7Sikem51EncnKx7vymZEQ3tVVEkJ0Iy0Gfkqp0UA/rfVnDdu01uuVUj8AkoFtbRWulJoF/AUwAm9orReesf85YKr9ZW+gv9Y6xL7PAuy27zumtZ7t9LvqQg0JU3IKyxk/rPs1UvmnaymvNRPnwqUczpQ6KISJsf14c+Nhbp4Q3SUL3AqbOrOFf3xzjJfWHqK4so6L4vrzi+kjSIoM7nDZ/QJ8uXXiUH58YQx78sr5cNtxPt6Zz7935TMw2I+rMqKYNyqKaLlLL3ogV7SRwjmna0xU1Vu6bPF2T2MwKP40L4Xf/CBe5toLIZporcfvKeDmZrbvBRbTRsYypZQReAmYDuQCW5RSK7TWWQ3HaK3va3T8z4H0RkXUaK3T2nwHdvtK9jHlrSnOHu42JouVQp9Sbv7En4GN5kt1F6XV9RT6VPD8zmDezHHfJPlyk4ms+nLSXvZvMm9MdA6toaiyjrzSaurMVoJ6eTMoujeH8eKuL9133eDBGmu1iSMVdfzuf/U89BUE+XkTFuhLX3+f87oXsM5kparejAaMSmE0nP3whE9Ha9Bo28/Gz7H1zOiGYxo/P+N4fx+vnpBevkNtpHBern0NP3fMS++plFIS9AkhztLaN/9ArfVZ8xS01t8ppZzpyroAOKi1PgyglFoCXAFktXD8dcAjTpTbrEEFNTy/cGd7T3epilozXkZFr27Y01VntlJnthDo5+32L5lV9RasWhPg6+URX2h7CpPFSp3ZilVrjErh623EqwsCLqu21cVksdUFbMGNQYFCoRQoBQZlf96wrdNr6npWDRarxqI1FqvGatXYwqC22II/x+egnHwNjtK1/T8N12u8DKO2b3AcqxtttwdnTctozHXrOfbyNnY4K2x624e4W4faSCdGxEwCngdSgPla648a7fPIETHt5VjKIaT1uchCCCFa11rg16eVfc789Y0Ejjd6nQuMae5ApdQQIAZY02izn1JqK2AGFmqtlzdz3m3AbQApvr6khTvdQehW2QXlmK2a5PCOD6dztQMnK6nUZtLDQ9x+rbJqEzmF5UT6B9A/UNZ/cycNlFbVc7y0Bku9mSAfLwb17UVIb58uD6Q0UFlrpqiyjpp6C/UNwaDVFoBYzzjey2jAx2jA26jwNhrw9mr0vNE+L6Ohy98bgMmiqaozU1lndvw0WezvSikCvY0E9PLC39cLf18jBqUcAWGzj0b7zE32WbHYP7P2hmBKKQxKYTDQ9KeyBeS2bd8/twXnjYPN74Pzhu3Yj+XMY1o4Xinw9TLibezgv96+9R07v+Pa3UY6MyIGOAYsAP6vmSLOaUSMp8uz9/hFhMjoESGE6IjWAr/VSqnHgYe0tt0HVkop4Pc0DdBcYT7wkdba0mjbEK11nlJqKLBGKbVba32o8Ula69eA1wAyMzM169a5uFrt86+VWbyz6Tv2/n4mXt1srbM7/ryemH7+vH5jptuvFaw1j7/4FeW1Jv7zi8nd7rPoCbTWbDhQzLNf7GNX7mmG9vPnvukjuDR5oFuytraHAgLtj8aq680UV9RTVFlLUUUdRZX1FFXUUVxZ1+RnUUUddeYzw0MwGhSh/j70C/ClX6Av/fx9CA3wITTA9/vtAb6EBvjQ19/HJXNNK2pN7M47zbe5p9mde5pduWWOYWhKwbCwAFIig0mJCiY5KoTEiCCXznHVWlNjslBZa6aizkxlrS3QrKm34OttwNfLiJ+3AT9vI35eRny9DY6fvl4GlOoevxMu0fXvpSNtZJsjYrTWR+37zv7lP8/kl9Xg523olgnThBDCk7QW+P0SeAM4qJRqGEOZCmwFbnWi7DxgUKPXUfZtzZkP3Nl4g9Y6z/7zsFJqHbaRPYfOPrX7iQsPos5s5WhJNcP7B3R1dRxqTRYOF1Xyg6TOyfKllOLOqcO5/e/bWLm7gCvSuu+i9p6m1mThi6wTvLvpKFuOlhIZ0os/zUvhyvRIjwmwe/t4MTjUi8GhrQ8g0FpTWWem2B4YNhccFlfVc7iokuLKOmpNzX9PDvT1IjTAxxEMhgY0BIu+ju39AnwI9fcluJc39RYre/NtQd639iDvcFGVo7xBfXuROiiEH40dQkpUCEmRQW5fvkQpRW8fL3r7eNHfrVcSTuhIG+n0iC4CxOgAACAASURBVJgWtDkipifJK6shMqRXz7pxIYQQXaDFwE9rXQVcZ+9xS7Rv3ttwh9IJW4BYpVQMtoBvPnD9mQcppeKwDZnZ1GhbH6Baa11nnysxAfiTk9ftcg2ZPbMLyrtV4HfgRCVWjVszep5pRsIARgwI4HfL9/C39c7+6jhv/LBQ7pgyjH4B58dQ0pzCcpZsti2kfrrGRFSfXvx+diLzLxiEr1f3m1PqCkopAv28CfTzdmodr4aexOKqOkoq6ymprKOkyhY0llTZXh8trmbbd6WcqqrH2sy4yYYkNBb7zgFBvqREhTA3LZKUQSEkRwZL78N5zgVtZEe0OSIGmk6HGDx4cCdUyz1si7fL/D4hhOgoZ9bxOwycc0OmtTYrpe4CPsc2eX2R1nqvUuoxYKvWeoX90PnAkoahMnbxwKv2IS4GbHc0W0oK0+0M7x+Al0GRU+je9fLOVXZhOQBx4ee2dltHGAyKx65IYtHGIy5MDWFTa7Kw+KsjvL/5GDdPiOa2icMI7t3zFhCvqDXx710FLN16nF3Hy/AxGpiROID5owczflhotxnS2V0425MItsCutLreESAWV9VTXFFHSVUdRqVIjgohJSqYAUEyt0g0r51t5LmMiGnumk6NiDlrOoSHyiutITGi+82ZF0IIT+O+fP6A1vpT4NMztj18xutHmznvf9jWQfJIvl5GhoUFkFNQ0dVVaSKnoIJe3kaGhHbuumpjh4YydmioW8o+XFTJc6sP8NLaQ7y76TtumzSUmyfE4O/r1l9tt9Nas+27UpZuOc4n3xZQY7IwckAgD1+WwNz0SEnT7SJGg3LMBTx7FqIQbuPUiJjmePqImHNVa7JQUlVPpCR2EUKIDvPsb8fdWNzAQLYeLe3qajSRU1jOiPDAHrWW2tCwAF64Lp2fTRnGs1/s55kv9rP4q6PcMWUYPxw7xOMWjy+urGPZ9jyWbDnGoaIq/H2MzEmP4JrMQaQNCpE5LkL0AM6MiLEvEL8M21SIy5VSv9daJ+LhI2LOlWMpB1nDTwghOsypwE8pdSEQq7VerJQKAwK01kfcWzXPFhcexMc78zldYyK4V9cPP9Rak11QzszEzkns0tniBwbxxk2Z7DhWyrNf7OePK7N5Y8MRfj5tONdkDurwmmHuZLFqNhwoYumW46zOPoHJoskYHMKfrkrh0pSBHt97KURP1542sq0RMVrrLdiGgJ55nkePiDlXDUs5yBp+QgjRcW1+o1RKPQJkAiOBxYA38Hdsw0tECxoSvOQUlDPGTcMcz8XJijpKq02dOr+vK6QP7sPfbx3DpkMlPPPFPn67bA+vrj/MvRfHckVaZLfq7cwtrebDrbl8uPU4+adr6evvw03jorl29CBiB/TsfychegppI91LevyEEMJ1nOlKmItt4vh2AK11vlJKvpW2IT7cljkzp7CiWwR+2QX2xC6dmNGzK40bFspHt49j3b4invliH7/4YBcvrzvEL6aPYFZieJclRKkzW1iddZIlW46x8WAxABNjw/jtpQlcnNC/x2bmFKIHkzbSjfJKazAaFAMCz4/MzUII4U7OBH71WmutlGpYoLZzM4N4qAFBvvTp7U2OPZNmV8sptCWaaQhIzwdKKabG9WfyiDBW7S3k2S/28bP3tpMUGcQvZ4xkyoiwTpkzV1Zdz77CCr7IOsGyHXmcqqonItiPuy+K5erMKKIkTbkQnkzaSDfKL6shPMjPY9YnFUKI7syZwO8DpdSrQIhS6ifALdgWrRWtUEoRFx5EdjfJ7JlTUE5EsF+PXO6gLQaD4gfJA5mZGM7yHXk8/5/93Lx4C5lD+vB/M0e6LONoTb2FAycr2FdYwf4TFeTYf54orwPA26iYnjCAa0cP5sLh/brVsFMhRLtJG+lGufbF24UQQnScM+v4PaOUmg6UY5vD8LDW+ku316wHiBsYyJLNx7FadZevtZZTWHHeDPNsidGguGpUFJenRvDB1uO8sOYA81/7momx/fjljJGkDQpxqhyTxcrR4ir2nahgf+H3Ad53p6ppWI3S18tA7IAAJgzvx8gBgYwMDyQlKkQW/Raih5E20r3ySmu4IKZvV1dDCCF6BGeSuzyltX4Q+LKZbaIV8eFB1JgsfHeqmph+XTf6p85s4eDJSi6K699ldehOfLwM/HDsEOaNiuLdTd/xyvpDzHnpK6YnDOAX00cQbw+QrVZNXllNk967fYUVHC6qot5iBcCgIKafPwkRQcxJjyQuPJARAwIZEuovPXpCnAekjXQfs8VKYXmt9PgJIYSLODPUczpwZgN2STPbxBkaZ/bsysDv0MkqzFZ93vf4ncnP28hPJg3lujGDWbTxCK//9zA/yN7ApNgwymtN7C+soKre4jg+ItiPkeGBTB4Z5gjwhoUFeNxagUIIl5I20k1OVNRhsWrJ6CmEEC7SYuCnlLoD+BkwVCn1baNdgcBX7q5YTzBiQCAGBdmFFVySPLDL6tGQYCa+hy/l0F4Bvl7cPS2WG8cN4dX/HuaTb/OJDOnFvFFRjAgPJC48kNgBgQT5nX/zI4UQzZM20v3y7Us5REiPnxBCuERrPX7/AD4DngR+1Wh7hdb6lFtr1UP4eRuJ6edPTkHXZvbMKazAx8vQpb2OniCktw8PzorjwVlxXV0VIUT3J22km32/eLsEfkII4QotBn5a69PAaeA6pZQRGGA/PkApFaC1PtZJdfRocQOD2J17ukvrkF1QzogBAZIOWwghXETaSPdzLN4ugZ8QQriEM8ld7gIeBU4AVvtmDaS4r1o9R3x4ICu/LaC81tRlQwWzCyqYMjKsS64thBA9mbSR7pNbWkOovw+9fGQetRBCuIIzyV3uBUZqrUvcXZmeaNww2xpxX+49wVWjojr9+kUVdRRX1hEn8/uEEMIdpI10k7yyGpnfJ4QQLuTM2L/j2IaziHbIGNyHwX17s3xnXpdcf1+hbQH5eMnoKYQQ7iBtpJvky+LtQgjhUs70+B0G1imlVgJ1DRu11n92W616EKUUc9IjeXHNAU6U1zIgyK9Tr9+Q0VN6/IQQwi2kjXQDrTV5pTVMHiHTFIQQwlWc6fE7hm1hWh9saaobHm1SSs1SSu1TSh1USv2qmf3PKaV22h/7lVJljfbdpJQ6YH/c5Nzb6Z7mpEVg1bBiZ36nXzu7oIL+gb6EBvh2+rWFEOI80O42UrSstNpEjckiPX5CCOFCbfb4aa1/D6CUCrC/rnSmYHuWs5ewLW6bC2xRSq3QWmc1Kvu+Rsf/HEi3P+8LPAJkYpskv81+bqmT76tbGRoWQOqgEJbtyOMnk4Z26rWzC8pl4XYhhHCT9raRonWOpRxk8XYhhHCZNnv8lFJJSqkdwF5gr1Jqm1Iq0YmyLwAOaq0Pa63rgSXAFa0cfx3wvv35TOBLrfUpe7D3JTDLiWt2W1emR5JVUO6Yc9cZTBYrB09WysLtQgjhJu1tI50YETNJKbVdKWVWSs07Y1+PGRHTkryyakCWchBCCFdyZqjna8AvtNZDtNZDgF8CrztxXiS2Se8Ncu3bzqKUGgLEAGvO9VxPcVnKQLwMimU7Oi/Jy5HiKuotVuIGSuAnhBBucs5tZKMRMZcACdjWAkw447BjwAJsC8U3PrdhRMwYbDdYH1FK9XHB++hW8spqAQn8hBDClZwJ/Py11msbXmit1wH+Lq7HfOAjrbXlXE5SSt2mlNqqlNpaVFTk4iq5VmiAL5NHhPHxzjysVt0p18wusCV2kYyeQgjhNu1pI9scEaO1Pqq1/pbv1wZs0ONGxDQnr7SG3j5GQnp3zfq3QgjREzkT+B1WSv1OKRVtfzyELYtZW/KAQY1eR9m3NWc+3w/zdPpcrfVrWutMrXVmWFj3z/w1Jz2SgtO1fH2kc5Z7yimswNuoGNovoFOuJ4QQ56H2tJEdGdXS40bENCevrJrIkF4opbq6KkII0WM4E/jdAoQB/7I/wuzb2rIFiFVKxSilfLAFdyvOPEgpFQf0ATY12vw5MEMp1cc+hGWGfZtHm54wgABfL5Z30nDP7IJyhoUF4OPlzD+zEEKIdmhvG+l2njQq5kx5ZTWS2EUIIVzMmayepcDd51qw1tqslLoLW8BmBBZprfcqpR4DtmqtG4LA+cASrbVudO4ppdQfsAWPAI9prU+dax26Gz9vI5ckhfPZ7kIeuyIJP2+jW6+XU1DBuGGhbr2GEEKcz9rZRp7LiJjmzp1yxrnrWqjba9jmIJKZmdk5cwxcJL+slpSokK6uhhBC9CgtBn5KqbN65xrTWs9uq3Ct9afAp2dse/iM14+2cO4iYFFb1/A0c9Mj+XBbLquzT3BZSoTbrlNaVU9hea0s3C6EEG7QwTbSMSIGWyA3H7jeyUt/DjzRKKHLDODXTp7rEarrzZyqqpfELkII4WKt9fiNwzaP4H3gG0AG2rvAmKGhhAf5sWx7nlsDvxz7shGS2EUIIdyi3W2kMyNilFKjgWXYpkJcrpT6vdY6saeOiGksv8y2hl+UDPUUQgiXai3wC8e2+Pp12O5ErgTe11rv7YyK9VRGg+KK9Aje3HCEkso6QgN83XKdnEJbRk9ZykEIIdyiQ21kWyNitNZbsA3jbO7cHjkipkFuw+Lt0uMnhBAu1WLWD621RWu9Smt9EzAWOAiss9+lFB0wNz0Ss1WzcneB266RU1BBqL8PYW4KLIUQ4nwmbaT75Nl7/CS5ixBCuFar6R6VUr5KqSuBvwN3An/FNvREdEBceBBx4YH8a7v7sntmF5YTNzBQUmELIYSbSBvpHvllNXgZFP0D/bq6KkII0aO0ltzlHSAJ21CU32ut93Rarc4DV2ZE8sSnORwpriKmX1tr/Z4bi1Wzr7CCH44d4tJyhRBC2Egb6T55pTWEB/thNMiNS09hMpnIzc2ltra2q6sixHnDz8+PqKgovL29nT6ntTl+PwSqgHuAuxv1HClAa60la0gHzE6N5MnPcli+I4/7po9wadlHS6qoM1slsYsQQriPtJFukldWI/P7PExubi6BgYFER0fLSCMhOoHWmpKSEnJzc4mJiXH6vNbm+Bm01oH2R1CjR6A0aB0XHuzHhGH9WL4zj0ZLGLpEToEto6cs5SCEEO4hbaT75JXK4u2epra2ltDQUAn6hOgkSilCQ0PPuZe91Tl+wr3mpEfyXUk124+VubTcnMJyjAbF8P4BLi1XCCGEcCeTxUpheS1R0uPncSToE6Jztef/OQn8utCspHD8vA0s25Hr0nKzC8oZ2s8fP2+jS8sVQggh3OlEeS1WDRES+IlzZDQaSUtLIzU1lYyMDP73v/8BkJ+fz7x587q4dq0rKyvj5ZdfbnF/TU0NkydPxmKxcPToUZRSPPTQQ479xcXFeHt7c9dd7UsqfPToUf7xj3+c83mFhYXMnz+fYcOGMWrUKH7wgx+wf//+cyojOjqa4uLiFvfX19czadIkzGbzOddPnE0Cvy4U4OvFjIRwPvm2gHqz1WXlZhdUECfz+4QQQniYvFJZykG0T69evdi5cye7du3iySef5Ne//jUAERERfPTRRy65hsVicUk5Z2or8Fu0aBFXXnklRqPthn5MTAwrV6507P/www9JTExs9/XbE/hprZk7dy5Tpkzh0KFDbNu2jSeffJITJ044fb7V2vZ3Xx8fH6ZNm8bSpUvPqX6ieRL4dbG56ZGUVZtYv7/IJeWV15rIK6uR+X1CCCE8jmMNP+nxEx1QXl5Onz59AFtQk5SUBMBbb73FlVdeyaxZs4iNjeWBBx5wnHPHHXeQmZlJYmIijzzyiGN7dHQ0Dz74IBkZGSxcuJCMjAzHvgMHDjR53WDKlCncc889pKWlkZSUxObNmwF49NFHeeaZZxzHJSUlcfToUX71q19x6NAh0tLSuP/++88q77333uOKK65wvO7duzfx8fFs3boVgKVLl3LNNdc49h89epSLLrqIlJQUpk2bxrFjxwBYsGABd999N+PHj2fo0KGOgPhXv/oVGzZsIC0tjeeeew6LxcL999/P6NGjSUlJ4dVXXz2rTmvXrsXb25vbb7/dsS01NZWJEydSWVnJtGnTyMjIIDk5mY8//thRr5EjR3LjjTeSlJTE8ePHm5T55z//maSkJJKSknj++ecd2+fMmcN77713Vh3EuWstq6foBBfG9iPU34dlO3KZnjCgw+XtK7QldkmQHj8hhBAepqHHT4Z6eq7f/3svWfnlLi0zISKIRy5vvUerpqaGtLQ0amtrKSgoYM2aNc0et3PnTnbs2IGvry8jR47k5z//OYMGDeLxxx+nb9++WCwWpk2bxrfffktKSgoAoaGhbN++HYDVq1ezc+dO0tLSWLx4MTfffHOz16murmbnzp3897//5ZZbbmHPnpZXfFm4cCF79uxh586dZ+2rr6/n8OHDREdHN9k+f/58lixZwoABAzAajURERJCfnw/Az3/+c2666SZuuukmFi1axN13383y5csBKCgoYOPGjeTk5DB79mzmzZvHwoULeeaZZ/jkk08AeO211wgODmbLli3U1dUxYcIEZsyY0SR75J49exg1alSz78fPz49ly5YRFBREcXExY8eOZfbs2YAtWH777bcZO3Zsk3O2bdvG4sWL+eabb9BaM2bMGCZPnkx6ejpJSUls2bKlxc9POE96/LqYt9HA5akRrM4+yekaU4fLyymw/bGNGyg9fkIIITxLXlkN/QJ8ZY66OGcNQz1zcnJYtWoVN954Y7NZ06dNm0ZwcDB+fn4kJCTw3XffAfDBBx+QkZFBeno6e/fuJSsry3HOtdde63h+6623snjxYiwWC0uXLuX6669vtj7XXXcdAJMmTaK8vJyysvYl8isuLiYkJOSs7bNmzeLLL79kyZIlTeoHsGnTJke9fvSjH7Fx40bHvjlz5mAwGEhISGhxWOYXX3zBO++8Q1paGmPGjKGkpIQDBw44XWetNb/5zW9ISUnh4osvJi8vz3GtIUOGnBX0AWzcuJG5c+fi7+9PQEAAV155JRs2bABs8zd9fHyoqKhwug6iedLj1w3MTY/krf8d5bPdBcy/YHCHysoqqCC4lzfhQX4uqp0QQgjROWxr+En75cna6pnrDOPGjaO4uJiiorOn0fj6+jqeG41GzGYzR44c4ZlnnmHLli306dOHBQsWNEmT7+/v73h+1VVX8fvf/56LLrqIUaNGERoa2mwdzsy4qJTCy8urybw2Z1Lx9+rVq9njfHx8GDVqFM8++yxZWVmsWLGizbKg6ftvaTkxrTUvvPACM2fObLGcxMTEFudOvvfeexQVFbFt2za8vb2Jjo52vIfGn+W5qKurw89P/jZ0lPT4dQMpUcEMDfNn2Y68DpeVU1hOXHigpFUWQgjhcfLKZA0/0XE5OTlYLJYWg7IzlZeX4+/vT3BwMCdOnOCzzz5r8Vg/Pz9mzpzJHXfc0eIwT8CRjGTjxo0EBwcTHBxMdHS0Y8jo9u3bOXLkCACBgYEt9mb16dMHi8XSbPD3y1/+kqeeeoq+ffs22T5+/HiWLFkC2IKwiRMntvLuz77+zJkzeeWVVzCZbCPR9u/fT1VVVZNzLrroIurq6njttdcc27799ls2bNjA6dOn6d+/P97e3qxdu9bRq9qaiRMnsnz5cqqrq6mqqmLZsmWOepeUlNCvXz+8vb3bLEe0Tnr8ugGlFHPTInn2y/32u53ta/SsVs2+wgquyRzk4hoKIYQQ7qW1Jr+shmlx/bu6KsIDNczxA9vv0ttvv+3IgtmW1NRU0tPTiYuLY9CgQUyYMKHV42+44QaWLVvGjBkzWjzGz8+P9PR0TCYTixYtAmy9he+88w6JiYmMGTOGESNGALY5hBMmTCApKYlLLrmEp59+uklZM2bMYOPGjVx88cVNticmJjabzfOFF17g5ptv5umnnyYsLIzFixe3+n5SUlIwGo2kpqayYMEC7rnnHo4ePUpGRgZaa8LCwhxzBBsopVi2bBn33nsvTz31FH5+fkRHR/P8889zww03cPnll5OcnExmZiZxcXGtXh8gIyODBQsWcMEFFwC2IbXp6emALZHMpZde2mYZom2qpW5elxSu1CzgL4AReENrvbCZY64BHgU0sEtrfb19uwXYbT/smNZ6dmvXyszM1A3ZjTzR8VPVTPzTWu6fOZI7pw5vVxnflVQx+el1PHVVMteO7tiQUSGE6M6UUtu01pldXQ9P4QltZHFlHZl/XM2jlyewYEJM2yeIbiM7O5v4+PiurkaneeaZZzh9+jR/+MMfmt0/ZcoUnnnmGTIzXfMnavv27Tz33HO8++67LinP01x55ZUsXLjQESiL7zX3/15r7aPbevyUUkbgJWA6kAtsUUqt0FpnNTomFvg1MEFrXaqUanybr0Zrneau+nU3g/r2ZnR0H5btyONnU4a1a6hmdoGtmz4uXDJ6CiGE8Czfr+HXu4trIkTL5s6dy6FDh1rMGuoOGRkZTJ06FYvF4nQvZk9RX1/PnDlzJOhzEXcO9bwAOKi1PgyglFoCXAFkNTrmJ8BLWutSAK31STfWp9ubkx7Jb5ftYW9+OUmRwed8fnZBOUrBiAGS0VMIIYRnyS9rWMpBEjiI7mvZsmVtHrNu3TqXX/eWW25xeZmewMfHhxtvvLGrq9FjuDO5SyTQeGXGXPu2xkYAI5RSXymlvrYPDW3gp5Taat8+x4317DYuTR6Ij9HQ7iQvOYXlxIT608vn/LobJIQQnkYpNUsptU8pdVAp9atm9vsqpZba93+jlIq2b49WStUopXbaH3/r7Lq7S8Pi7VEh0uMnhBDu0NVZPb2AWGAKcB3wulKqYbGSIfbxqdcDzyulhp15slLqNntwuLW5lL2eJqS3D1PjwlixKx+zxdr2CWfIKayQ9fuEEKKbazQV4hIgAbhOKZVwxmE/Bkq11sOB54CnGu07pLVOsz9u75RKd4Lc0hoCfL0I6iV554QQwh3cGfjlAY3TS0bZtzWWC6zQWpu01keA/dgCQbTWefafh4F1QPqZF9Bav6a1ztRaZ4aFhbn+HXSBuemRFFXU8dWhknM6r6rOzHcl1cTL/D4hhOjuHFMhtNb1QMNUiMauAN62P/8ImKZ6+Do9DVmte/jbFEKILuPOwG8LEKuUilFK+QDzgTNXl1yOrbcPpVQ/bEM/Dyul+iilfBttn0DTuYE91tS4/gT5ebH8HId77jthT+wyUAI/IYTo5pyZCuE4RmttBk4DDYuSxSildiil1iulWl+gy4Pkyxp+QgjhVm4L/OwN1V3A50A28IHWeq9S6jGlVMPSDJ8DJUqpLGAtcL/WugSIB7YqpXbZty9snA20J/P1MnJpSgSr9hRSVWd2+rzsgnIA4sJlqKcQQvRgBcBgrXU68AvgH0qpZu/4edp0iLyyGknsItrtr3/9K/Hx8dxwww2sWLGChQvPWkHMaQEBAS6sWcdNmTIFdyzHsmrVKkaOHMnw4cNb/Lz+/Oc/k5CQQEpKCtOmTWuyGPvbb79NbGwssbGxvP32247t27ZtIzk5meHDh3P33XfTsHTcrl27GDduHMnJyVx++eWUl9u+u5aUlDB16lQCAgK46667mlz//fffJzk5mZSUFGbNmkVxcXGT/c8++yxKKcf2p59+mrS0NNLS0khKSsJoNHLq1CkAysrKmDdvHnFxccTHx7Np06ZW61VfX8/NN99McnIyqampTZL2LF26lJSUFBITE3nwwQeb1OmDDz4gISGBxMRErr/+esf2Bx54gMTEROLj45t8Lr/97W8ZNGhQs793LZXVblrrHvEYNWqU7im+OVyihzz4if7X9uNOn/PQst068eFV2mq1urFmQgjRPQBbdTdoe9rzAMYBnzd6/Wvg12cc8zkwzv7cCyjGvvbuGcetAzLbumZ3byMra016yIOf6JfXHuzqqoh2yMrK6uoq6JEjR+rjx53/3tQaf39/l5TjKpMnT9ZbtmxxaZlms1kPHTpUHzp0SNfV1emUlBS9d+/es45bs2aNrqqq0lpr/fLLL+trrrlGa611SUmJjomJ0SUlJfrUqVM6JiZGnzp1Smut9ejRo/WmTZu01WrVs2bN0p9++qnWWuvMzEy9bt06rbXWb775pn7ooYe01lpXVlbqDRs26FdeeUXfeeedjmubTCYdFhami4qKtNZa33///fqRRx5x7D927JieMWOGHjx4sOOYxlasWKGnTp3qeH3jjTfq119/XWutdV1dnS4tLW21Xi+++KJesGCB1lrrEydO6IyMDG2xWHRxcbEeNGiQPnnypKPc1atXa6213r9/v05LS3N8FidOnNBaa/3VV1/p8ePHa7PZrM1msx47dqxeu3at1lrrTZs26fz8/LN+71oqq7Hm/t9rrX3s6uQuohmZQ/oQ1acXy3bkO31OTmE5ceGBMjdCCCG6P2emQqwAbrI/nwes0VprpVSYPTkMSqmh2ObFH+6kertNQ0ZPGeop2uP222/n8OHDXHLJJTz33HO89dZbjp6jBQsWcPfddzN+/HiGDh3KRx99BEBlZSXTpk0jIyOD5ORkPv7441avcfToUeLi4liwYAEjRozghhtuYPXq1UyYMIHY2Fg2b97sKLehlyglJYV//vOfTcpZtWoVV199teP1unXruOyyywC44447yMzMJDExkUceeaTZejTuFfroo49YsGABAEVFRVx11VWMHj2a0aNH89VXX7X6fjZv3szw4cMZOnQoPj4+zJ8/v9nPYOrUqfTubcu0O3bsWHJzcwH4/PPPmT59On379qVPnz5Mnz6dVatWUVBQQHl5OWPHjkUpxY033sjy5csB2L9/P5MmTQJg+vTpjs/G39+fCy+8ED+/pj3+DcFKVVUVWmvKy8uJiIhw7L/vvvv405/+1OJ33/fff5/rrrsOgNOnT/Pf//6XH//4x4BtmYiQkJBW65WVlcVFF10EQP/+/QkJCWHr1q0cPnyY2NhYGvKLXHzxxY5zXn/9de6880769OnjOA9AKUVtx5FXFAAAIABJREFUbS319fXU1dVhMpkYMGCA43MdOHDgWfVvqayOkNRZ3ZDBoJiTFsnL6w5ysryW/kGtD33RWpNTUMGc9DOniAghhOhutNZmpVTDVAgjsEjbp0Jgu1O7AngTeFcpdRA4hS04BJgEPKaUMgFW4Hat9anOfxeu5Vi8PUQCP09376p72Vm406VlpoWn8fys51vc/7e//Y1Vq1axdu1a+vXrx1tvvdVkf0FBARs3biQnJ4fZs2czb948/Pz8WLZsGUFBQRQXFzN27Fhmz57d6g30gwcP8uGHH7Jo0SJGjx7NP/7xDzZu3MiKFSt44oknWL58OX/4wx8IDg5m9+7dAJSWljYp4+KLL+a2226jqqoKf39/li5dyvz5tv+9H3/8cfr27YvFYmHatGl8++23pKSkOPUZ3XPPPdx3331ceOGFHDt2jJkzZ5Kdnc3WrVv529/+xhtvvNHk+Ly8PAYN+j4HY1RUFN98802r13jzzTe55JJLWjw/Ly+PvLw8oqKiztoOkJiYyMcff8ycOXP48MMPOX78OK3x9vbmlVdeITk5GX9/f2JjY3nppZcA+Pjjj4mMjCQ1NbXZc6urq1m1ahUvvvgiAEeOHCEsLIybb76ZXbt2MWrUKP7yl7/g7+/fYr1SU1NZsWIF1113HcePH2fbtm0cP36ciy66iH379nH06FGioqJYvnw59fX1gC2IBJgwYQIWi4VHH32UWbNmMW7cOKZOncrAgQPRWnPXXXcRHx/f6vtvqayOkB6/bmpOeiRWDSt2td3rl1dWQ0WdWZZyEEIID6G1/lRrPUJrPUxr/bh928P2oA+tda3W+mqt9XCt9QXaluEarfU/tdaJ2raUQ4bW+t9d+T5cxbGGn/T4CTeYM2cOBoOBhIQETpw4Adhumv/mN78hJSWFiy++mLy8PMe+lsTExJCcnIzBYCAxMZFp06ahlCI5OZmjR48CsHr1au68807HOQ29NQ28vLyYNWsW//73vzGbzaxcuZIrrrAl9f3ggw/IyMggPT2dvXv3kpXlfHqL1atXc9ddd5GWlsbs2bMpLy+nsrKSzMzMs4K+9vj73//O1q1buf/++9tdxqJFi3j55ZcZNWoUFRUV+Pj4tHq8yWTilVdeYceOHeTn55OSksKTTz5JdXU1TzzxBI899liL5/773/9mwoQJ9O3bFwCz2cz27du544472LFjB/7+/o55jS3V65ZbbiEqKorMzEzuvfdexo8fj9FopE+fPrzyyitce+21TJw4kejoaIxGo+M6Bw4cYN26dbz//vv85Cc/oaysjIMHD5KdnU1ubi55eXmsWbOGDRs2tPr+WyqrI6THr5sa3j+AlKhglu/M49aJQ1s9NqfAntFTlnIQQgjhgfLKavA2KsICfLu6KqKDWuuZ6yq+vt//XtmmQMF7771HUVER27Ztw9vbm+joaGpra50ux2AwOF4bDAbMZucT8s2fP58XX3yRvn37kpmZSWBgIEeOHOGZZ55hy5Yt9OnThwULFjRbn8Y9ko33W61Wvv7667OGS7YkMjKySY9bbm4ukZHNjxxbvXo1jz/+OOvXr3e858jIyCbJTnJzc5kyZQqRkZGO4aBnlhsXF8cXX3wB2HqzVq5c2Wodd+609RwPG2Zbyvuaa65h4cKFXHHFFRw5csTR25ebm0tGRgabN28mPDwcgCVLljiGeYKt5zEqKooxY8YAMG/ePEfg11K9vLy8eO655xxljB8/nhEjRgBw+eWXc/nllwPw2muvOQK/hmt4e3sTExPDiBEjHMHb2LFjHUN1L7nkEjZt2sTEiS0nZm6prNGjR7f6ubVGevy6sTlpkezJK+eAfamGljRk9BwpGT2FEEJ4oLzSGgYG98JgkHnqonOcPn2a/v374+3tzdq1a5tkq+yI6dOnO4YjwtlDPQEmT57M9u3bef311x3DPMvLy/H39yc4OJgTJ07w2WefNVv+gAEDyM7Oxmq1smzZMsf2GTNm8MILLzheNwRNLRk9ejQHDhzgyJEj1NfXs2TJEmbPnn3WcTt27OCnP/0pK1asaDLHbObMmXzxxReUlpZSWlrKF198wcyZMxk4cCBBQUF8/fXXaK155513HD2aJ0+eBGxB6h//+Eduv/32VusYGRlJVlYWDVmJv/zyS+Lj40lOTubkyZMcPXrUMdxy+/btjqDv9OnTrF+/3nFdgPDwcAYNGsS+ffsA+M9//kNCQkKr9aqurqaqqspxbS8vr7POKS0t5eWXX+bWW28FbL3LDQFxcXEx+/fvZ+jQoQwePJj169djNpsxmUysX7++zaGeLZXVERL4dWOXp0ZgNCiWtbGmX05hBYP79ibAVzpwhRBCeJ6GxduF6Cw33HADW7duJTk5mXfeeYe4uDiXlPvQQw9RWlpKUlISqamprF279qxjjEYjl112GZ999pkjsUtqairp6enExcVx/fXXM2HChGbLX7hwIZdddhnjx49vkhDkr3/9K1u3biUlJYWEhAT+9re/AbB161ZHUNKYl5cXL774IjNnziQ+Pp5rrrmGxMREAB5++GFWrLDlm7r//vuprKzk6quvdgwjBejbty+/+93vHMlkHn74YcewyoZAaPjw4QwbNswxL/D9999nxIgRxMXFERERwc033+yoT3R0NL/4xS946623iIqKIisri4iICB555BEmTZpESkoKO3fu5De/+U2b/wbLli1jxowZ+Pv7N9n+wgsvcMMNN5xVVkv1OnnyJBkZGcTHx/PUU0/x7rvvOsq65557SEhIYMKECfzqV79y9ATOnDmT0NBQEhISmDp1Kk8//TShoaHMmzePYcOGOZaGSE1NdfQYPvDAA0RFRVFdXU1UVBSPPvpoq2V1hGro8vZ0mZmZ2h1rnHS1BYs3c+BEJRsemNrindCLnl1HbP8AXv1RZifXTgghuoZSapvWWv7oOam7t5Fjn/gPF8b245mrm0/UILq37OzsNnsvhBCu19z/e621j9Lj183NTY8kr6yGzUebT9pWU2/haHGVzO8TQgjhkUwWKycqaqXHTwgh3EwCv25uRkI4/j5Glrcw3PPAyQqsGuIlo6cQQggPVHi6Fq1lKQchhHA3Cfy6uV4+RmYmhbNydwG1JstZ+xsSu0iPnxBCCE+UWyqLtwshRGeQwM8DzE2PpKLWzJqck2ftyy6ooLePkcF9e3dBzYQQQoiOaVjDT3r8hBDCvSTw8wDjh/Wjf6Av/9p+9nDPnMJyRoYHSgpsIYQQHinP3uM3MMS59ceEEEK0jwR+HsBoUFyRFsG6fSc5VVXv2K61JqewQoZ5CiGE8Fj5ZTX0D/TF18vY1VURQogeTQI/DzEnPRKzVbNyd4Fj24nyOsqqTZLYRQghhMfKK6shQoZ5inYqKSkhLS2NtLQ0wsPDiYyMdLyur69vuwA3mDJlCq5aPuXtt98mNjaW2NhY3n777WaPuf/++4mLiyMlJYW5c+dSVlbm2Pfkk08yfPhwRo4cyeeff+7YvmrVKkaOHMnw4cNZuHChY/uPf/xjUlNTSUlJYd68eVRWVja51j//+U+UUo73t3nzZsfnnZqa2mRR+b/85S8kJSWRmJjI888/79i+c+dOxo4dS1paGpmZmWzevBmwLYY+d+5cUlJSuOCCC9izZ0+b9b3hhhsYOXIkSUlJ3HLLLZhMpib13bJlC15eXnz00UeOa48bN47ExERSUlJYunSp49g1a9aQkZFBUlISN910E2az2bFv3bp1pKWlkZiYyOTJk5tcw2KxkJ6e7liT0ZnPsctorXvEY9SoUbons1qtesaf1+u5L210bFuTfUIPefAT/c3hki6smRBCdD5gq+4GbY+nPLpzGznl6bX6Z+9t6+pqiA7Iysrq6iporbV+5JFH9NNPP91km8lk6vR6TJ48WW/ZsqXD5ZSUlOiYmBhdUlKiT506pWNiYvSpU6fOOu7zzz93vM8HHnhAP/DAA1prrffu3atTUlJ0bW2tPnz4sB46dKg2m83abDbroUOH6kOHDum6ujqdkpKi9+7dq7XW+vTp045y77vvPv3kk086XpeXl+uJEyfqMWPGON5fVVWV49r5+fk6LCxMm0wmvXv3bp2YmOjYP23aNH3gwAGttdbTp0/Xn376qdZa65UrV+rJkydrrbX+v//7P/3oo49qrbXOzs7WF110kdZat1rflStXaqvV+v/t3Xl8VPW5x/HPQ8IiYZFVCkEJAhKCEiRsl8qiEkLhArLYUGtBoRUqFrSuvVfUtlwWtdqyiIqQKiggYEkBAcWyiEoIUZAdSwIEEWMMprIa8tw/zsk4CTNJ0AyTCc/79ZpXZs6c5TtnMnnyO+f3O6P5+fmamJios2bN8uTNy8vTXr16ad++ffXNN99UVdV9+/bp/v37VVX16NGj2qhRI83JydHz589rZGSk7tu3T1VVH3/8cZ0zZ46qqubk5Gh0dLQeOnRIVVWPHz9eaP8/++yzOnz4cO3Xr59nWnH7sSz5+uwVVx/tjF+IEBEGtW9C2uETHMo+CcCeL5wrel7XyM74GWOMCT35+crRE6eJtDN+pgyNHDmSMWPG0LlzZx5++GGefPJJnnnmGc/zbdu2JSMjA4D58+fTqVMnYmNjueeeezh/vvAV1FevXs2wYcM8j9evX+85szN27Fji4uKIiYnhiSee8JmlRo0anvtLlixh5MiRAGRlZTFkyBA6duxIx44d2bx58wXLrlmzht69e1O3bl3q1KlD7969Wb169QXzxcfHEx4eDkCXLl3IzMwEYPny5SQmJlK1alWioqJo0aIFKSkppKSk0KJFC5o3b06VKlVITExk+fLlANSq5QwfUlVOnz6NyPfXkHj88cd55JFHqFbt+/G41atX92z7zJkznvn37NlD586dPc/36NGDZcuWAc7/tLm5zv+w33zzDY0bNwZg9+7d3HzzzQC0bt2ajIwMjh8/Xmzen/3sZ4gIIkKnTp08rx1g+vTpDBkyhIYNG3qmtWrVipYtWwLQuHFjGjZsSFZWFtnZ2VSpUoVWrVoB0Lt3b5YuXQrA66+/zuDBg7n66qsBCq0vMzOTlStXMnr06ELvSXH7MZgC2vATkQQR2Scin4nIo37muV1EdovILhF53Wv6CBE54N5GBDJnqBgY2xgR+MfHnwOw99h/aHLlFdS+onKQkxljjDEXL/vkOc7l5dtXOVQkEyZAz55le5sw4aJjZGZm8sEHH/CXv/zF7zx79uxh0aJFbN68mU8++YSwsDAWLFhQaJ5bb72VLVu2cPKkc9B90aJFJCYmAjBp0iRSU1PZsWMHGzZsYMeOHaXON378eO6//362bt3K0qVLPQ2H1NRUz/2jR4/StGlTzzKRkZEcPer7e50LzJ07l759+xa7fEnrveuuu2jUqBF79+7lvvvuAyAtLY0jR47Qr1+/C7a5ZcsWYmJiuP7665k9ezbh4eG0bduWTZs2kZ2dzalTp1i1ahVHjhwB4Pnnn+ehhx6iadOmPPjgg0yePBmAdu3aeRqHKSkpHDp0iMzMzFLth++++47XXnuNhIQEz2t/6623GDt2rN99lZKSwrlz57j22mupX78+eXl5ni6sS5Ys8eTdv38/OTk59OzZkw4dOvDqq6961jFhwgSmTZtGpUoXNql87cdgC1jDT0TCgJlAX6ANMFxE2hSZpyXwGNBNVWOACe70usATQGegE/CEiNQJVNZQ0fjKK+gSVY+3Ps5EVdn7Ra6N7zPGGBOy7KscTKAMGzaMsLDiLxi0bt06tm3bRseOHYmNjWXdunUcPHiw0Dzh4eEkJCTwz3/+k7y8PFauXMnAgQMBWLx4MTfeeCPt27dn165d7N69u9T53n33XcaNG0dsbCwDBgwgNzeXb7/9lri4OObMmXPxLxinIRoeHs4dd9zxg5YvMG/ePD7//HOio6NZtGgR+fn5PPDAAzz77LM+5+/cuTO7du1i69atTJ48mTNnzhAdHc0jjzxCfHw8CQkJxMbGet6PF154geeee44jR47w3HPPMWrUKAAeffRRTpw4QWxsLNOnT6d9+/YlvocFfvvb39K9e3duuukmwGmQTZ061WeDDODYsWPceeedzJs3j0qVKiEiLFy4kPvvv59OnTpRs2ZNz7bz8vLYtm0bK1euZM2aNfzpT39i//79rFixgoYNG9KhQ4dS7cfyIDyA6+4EfKaqBwFEZCEwEPD+VPwamKmqOQCqWvBFdX2Ad1T1a3fZd4AE4I0A5g0Jt7VvwsNLd5CS/jX/zjpJfJtGwY5kjDHG/CAFX+VgF3epQLwu4hFMERERnvvh4eHk5+d7Hp85cwZwuuGNGDHCc8bJn8TERGbMmEHdunWJi4ujZs2apKen88wzz7B161bq1KnDyJEjPev15t3Fz/v5/Px8Pvroo0LdJotq0qQJ69ev9zzOzMykZ8+ePudNSkpixYoVrFu3zrPNJk2aeM5aFSzfpEkTAL/TC4SFhZGYmMi0adMYPHgwO3fu9Gz7iy++YMCAASQnJxMXF+dZJjo6mho1arBz507i4uIYNWqUp1H3hz/8gcjISMC5YM1f//pXwGmgF5zhrFWrFvPmzQOc9yYqKormzZtz+vTpYvM+9dRTZGVl8eKLL3qmpaames7MfvXVV6xatYrw8HAGDRpEbm4u/fr1Y9KkSXTp0sWzTNeuXdm0aRMAa9euZf/+/YBzhrFevXpEREQQERFB9+7d2b59O2lpaSQnJ7Nq1SrOnDlDbm4uv/zlL5k/f77P/XjXXXf5fO8upUB29WwCHPF6nOlO89YKaCUim0XkIxFJuIhlL0sJ1zeianglnl6zj/P5Sms742eMMSGppOEQIlJVRBa5z28RkWZezz3mTt8nIn0uZe6ydPTEKQDr6mkCqlmzZqSlpQFOl8X09HQAbrnlFpYsWcKXXzrnHb7++msOHTp0wfI9evQgLS2Nl19+2dOYyM3NJSIigtq1a3P8+HHefvttn9u+6qqr2LNnD/n5+YWueBkfH8/06dM9jz/55JMLlu3Tpw9r164lJyeHnJwc1q5dS58+F37cV69ezbRp00hOTqZ69eqe6QMGDGDhwoWcPXuW9PR0Dhw4QKdOnejYsSMHDhwgPT2dc+fOsXDhQgYMGICq8tlnnwFOwys5OZnWrVtTu3ZtvvrqKzIyMsjIyKBLly6eRl96errn6peHDh1i7969NGvWDMCzXw8fPsyyZcv4xS9+AThj6zZs2AA4V9IsGHN34sQJz5VY58yZQ/fu3alVq5bfvAXzrVmzhjfeeKPQ2b309HRP3qFDhzJr1iwGDRrEuXPnuO222/jVr37F0KFDC+3Hgrxnz55l6tSpjBkzBoCBAwfy/vvvk5eXx6lTp9iyZQvR0dFMnjyZzMxMMjIyWLhwITfffDPz58/3ux/Lg0Ce8Svt9lsCPYFIYKOIXF/ahUXkN8BvAM+Ay4quVrXK3NrmKlbucL7Wwb7DzxhjQo/XcIjeOAc3t4pIsqp694oZBeSoagsRSQSmAj93h00kAjFAY+BdEWmlqoWvShECjuacpma1cGpVs7HqJnCGDBnCq6++SkxMDJ07d/ZcwKNNmzb8+c9/Jj4+nvz8fCpXrszMmTO55pprCi0fFhZG//79SUpK8nylQrt27Wjfvj2tW7emadOmdOvWzee2p0yZQv/+/WnQoAFxcXGey/r/7W9/49577+WGG24gLy+P7t27M3v2bFJTU5k9ezZz5syhbt26PP7443Ts2BGAiRMnUrduXQBGjx7NmDFjiIuLY9y4cZw9e5bevXsDzgVeZs+eTUxMDLfffjtt2rQhPDycmTNnerovzpgxgz59+nD+/HnuvvtuYmJiyM/PZ8SIEeTm5qKqtGvXjhdeeKHYffv+++8zZcoUKleuTKVKlZg1axb169f37Pfs7GzPfr3yyisBePnllxk/fjx5eXlUq1aNl156CXDGXI4YMQIRISYmhldeeQVwztj6ygswZswYrrnmGrp27QrA4MGDmThxot+8ixcvZuPGjWRnZ5OUlAQ4Z0tjY2N5+umnWbFiBfn5+YwdO9ZzoZno6GgSEhK44YYbqFSpEqNHj6Zt27Z+t1FwJvli9uOlIs5VPwOwYpGuwJOq2sd9/BiAqk72mmc2sEVV57mP1wGPAi2Anqp6jzv9RWC9qvrt6hkXF6dl9Z0p5d27u48z+tVUqoZXYtdTfQgPs4uzGmMuLyKyTVXjSp6zfCpljVzjzvOhiIQDXwANcOqkZ17v+fxtr7zWyNF/TyUz5xSrJ3QPdhTzI+zZs4fo6OhgxzDmsuPrs1dcfQzkGb+tQEsRiQKO4hyd/EWRef4BDAfmiUh9nK6fB4F/A//ndUGXeJyLwBigx3UNqFO9MpF1qlujzxhjQpOvIQ2d/c2jqnki8g1Qz53+UZFlAzocYu776Tz/7v4yX+/Jc+fpdV2DMl+vMcaYCwWs4ecWqXHAGiAMmKuqu0TkjzhfLJjsPhcvIruB88BDqpoNICJ/wmk8Avyx4EIvBiqHVeL5xPZUDbdGnzHGGN/KcjjEdY1qMvjGyLKIdYEBsY0Dsl5jjDGFBXSMn6quAlYVmTbR674CD7i3osvOBeYGMl8o69HKjpAaY0wIOwo09Xoc6U7zNU+m29WzNpBdymVR1ZeAl8Dp6vljwnZrUZ9uLer/mFUYY4wJMjtlZIwxxlx6nuEQIlIFZzhEcpF5koER7v2hwHvuAdNkING96mcUzkXSUi5RbmN8CtQ1I4wxvv2Qz1ywr+ppjDHGXHZKORziFeA1EfkM+BqncYg732Kc78XNA+4NxSt6moqjWrVqZGdnU69evULfW2eMCQxVJTs7u9jvgfTFGn7GGGNMEJRiOMQZYJifZScBkwIa0JhSioyMJDMzk6ysrGBHMeayUa1aNSIjL27stTX8jDHGGGPMD1a5cmWioqKCHcMYUwIb42eMMcYYY4wxFZw1/IwxxhhjjDGmgrOGnzHGGGOMMcZUcFJRLr8rIlnAoTJYVX3gqzJYz6VgWQMjlLJCaOW1rIERSlmhbPJeo6r2haalVEY18nL8PbtULGtgWNbACaW8l1tWv/WxwjT8yoqIpKpqXLBzlIZlDYxQygqhldeyBkYoZYXQy2scofa+hVJeyxoYljVwQimvZf2edfU0xhhjjDHGmArOGn7GGGOMMcYYU8FZw+9CLwU7wEWwrIERSlkhtPJa1sAIpawQenmNI9Tet1DKa1kDw7IGTijltawuG+NnjDHGGGOMMRWcnfEzxhhjjDHGmArOGn4uEUkQkX0i8pmIPBrsPMURkaYi8i8R2S0iu0RkfLAzlUREwkTkYxFZEewsxRGRK0VkiYjsFZE9ItI12Jn8EZH73fd/p4i8ISLVgp3Jm4jMFZEvRWSn17S6IvKOiBxwf9YJZsYCfrI+7f4e7BCRt0TkymBmLOArq9dzvxcRFZH6wchWlL+sInKfu293ici0YOUzpRcqNdLqY2BZjSwbVh8Dx2pk8azhh/NHF5gJ9AXaAMNFpE1wUxUrD/i9qrYBugD3lvO8AOOBPcEOUQp/BVaramugHeU0s4g0AX4HxKlqWyAMSAxuqgskAQlFpj0KrFPVlsA693F5kMSFWd8B2qrqDcB+4LFLHcqPJC7Miog0BeKBw5c6UDGSKJJVRHoBA4F2qhoDPBOEXOYihFiNtPoYWFYjy0YSVh8DJQmrkX5Zw8/RCfhMVQ+q6jlgIc5OL5dU9Ziqprn3/4Pzh7dJcFP5JyKRQD9gTrCzFEdEagPdgVcAVPWcqp4IbqpihQNXiEg4UB34PMh5ClHVjcDXRSYPBP7u3v87MOiShvLDV1ZVXauqee7Dj4DISx7MBz/7FeA54GGg3Azc9pN1LDBFVc+683x5yYOZixUyNdLqY+BYjSw7Vh8Dx2pk8azh52gCHPF6nEk5LhTeRKQZ0B7YEtwkxXoe58OWH+wgJYgCsoB5brebOSISEexQvqjqUZyjQIeBY8A3qro2uKlK5SpVPebe/wK4KphhLsLdwNvBDuGPiAwEjqrq9mBnKYVWwE0iskVENohIx2AHMiUKyRpp9bHMWY0MLKuPAWI18nvW8AthIlIDWApMUNXcYOfxRUT6A1+q6rZgZymFcOBG4AVVbQ+cpPx0tSjE7fs/EKcQNwYiROSXwU11cdS5pHC5OfLmj4j8D073sQXBzuKLiFQH/gBMDHaWUgoH6uJ0w3sIWCwiEtxIpqKx+hgQViMvEauPZcdqZGHW8HMcBZp6PY50p5VbIlIZp6gtUNVlwc5TjG7AABHJwOkedLOIzA9uJL8ygUxVLTg6vASnyJVHtwLpqpqlqt8By4D/CnKm0jguIj8BcH+W625+IjIS6A/coeX3u2+uxfnnZrv7OYsE0kSkUVBT+ZcJLFNHCs6ZjnIx0N74FVI10upjwFiNDCyrj4FhNdKLNfwcW4GWIhIlIlVwBgAnBzmTX27L/xVgj6r+Jdh5iqOqj6lqpKo2w9mv76lquTzqpqpfAEdE5Dp30i3A7iBGKs5hoIuIVHd/H26hnA6yLyIZGOHeHwEsD2KWYolIAk4XrAGqeirYefxR1U9VtaGqNnM/Z5nAje7vc3n0D6AXgIi0AqoAXwU1kSlJyNRIq4+BYzUy4Kw+BoDVyMKs4Qe4A1THAWtw/jAsVtVdwU1VrG7AnThHBz9xbz8LdqgK4j5ggYjsAGKB/wtyHp/cI65LgDTgU5zP8ktBDVWEiLwBfAhcJyKZIjIKmAL0FpEDOEdkpwQzYwE/WWcANYF33M/Y7KCGdPnJWi75yToXaO5evnohMKKcHy2+7IVYjbT6GFhWI8uA1cfAsRpZwjat3hpjjDHGGGNMxWZn/IwxxhhjjDGmgrOGnzHGGGOMMcZUcNbwM8YYY4wxxpgKzhp+xhhjjDHGGFPBWcPPGGOMMcYYYyo4a/iZck1EVESe9Xr8oIg8WUbrThKRoWWxrhK2M0xE9ojIv8pgXRNEpLrX429/xLo78QA8AAAGUElEQVR+IiIrfmymS0FEGojIFhH5WERuKvLcAhHZJyI7RWSu++XNiEh/EfljcBIbY0xgWX28YF1WH60+mhJYw8+Ud2eBwSJSP9hBvIlI+EXMPgr4tar2KoNNTwCqlzhX6TwAvFxG6/pBRCSslLPeAnyqqu1VdVOR5xYArYHrgSuA0e70lcB/e/8jYIwxFYjVx8KsPlp9NCWwhp8p7/JwvnT1/qJPFD0iWXB0T0R6isgGEVkuIgdFZIqI3CEiKSLyqYhc67WaW0UkVUT2i0h/d/kwEXlaRLaKyA4RucdrvZtEJBnY7SPPcHf9O0VkqjttIvBT4BURebrI/D1FZKOIrHSPyM0WkUrucy+4uXaJyFPutN8BjYF/eR8dFZFJIrJdRD4SkavcacPcHNtFZKOffTsEWO3OP9LdX+tF5ICIPOG1/gfcde0UkQnutIfcPIjIcyLynnv/ZhFZ4N6PF5EPRSRNRN4UkRru9AwRmSoiacCwIvukmYi85+73dSJytYjEAtOAgeJ8UewV3suo6ip1ASlApDtdgfVAfz+v3xhjQpnVR6uPVh/NxVFVu9mt3N6Ab4FaQAZQG3gQeNJ9LgkY6j2v+7MncAL4CVAVOAo85T43Hnjea/nVOAdAWgKZQDXgN8D/uvNUBVKBKHe9J4EoHzkbA4eBBkA48B4wyH1uPRDnY5mewBmgORAGvFPweoC67s8wd/kb3McZQH2vdSjw3+79aV65PwWauPev9LHtKGCb1+ORwDGgHs5RwZ1AHNDBXVcEUAPYBbQHugBvustuwikolYEngHuA+sBGIMKd5xFgotdreNjP+/1PYIR7/27gH175ZpTwu1IZSANu8pp2BzA92L/HdrOb3exW1jesPlp9VKuPdru4m53xM+WequYCrwK/u4jFtqrqMVU9C/wbWOtO/xRo5jXfYlXNV9UDwEGcLhHxwK9E5BNgC84f+5bu/Cmqmu5jex2B9aqapap5ON0rupciZ4qqHlTV88AbOEc/AW53j/h9DMQAbfwsfw4oGIewzeu1bQaSROTXOMWxqJ8AWUWmvaOq2ap6GljmZvkp8JaqnlTVb93pN7nb6iAitXC6G32IUwhvwil0XdzMm939OAK4xmtbi/y8nq7A6+791/h+f5TGLGCjFu7q8iXOPx3GGFPhWH20+lhKVh8N4Bx5MSYUPI9ztGqe17Q83O7KbheQKl7PnfW6n+/1OJ/Cv/daZDsKCHCfqq7xfkJEeuIc0SxLF2xfRKJwjtx2VNUcEUnCOdLqy3eqWrCO87ivTVXHiEhnoB+wTUQ6qGq213KnfazT177wHVr1OxFJxznS+AGwA+gFtAD2ANfiFMrhflZRpvvR7XrTAOdoqrdqOK/VGGMqKquPvll9xOqjKczO+JmQoKpfA4txBoIXyMDpagEwAKcrw8UaJiKV3HENzYF9wBpgrHx/9atWIhJRwnpSgB4iUl+cAdnDgQ2l2H4nEYlyC/PPgfdxuu6cBL5xxyT09Zr/P0DNklYqIteq6hZVnYhz5LJpkVn2U/jILkBvEanrjhEYhHNUdBMwSESqu/vgNnca7s8HcbqsbALGAB+7hfYjoJuItHDzRIhIq5J3Bx8Aie79O7y2VdxrHQ30AYaran6Rp1vhdMsxxpgKyeqjh9XHC1+r1UdTiDX8TCh5FqdvfIGXcYrJdpwuED/kKNlhnKL0NjBGVc8Ac3AGp6eJyE7gRUo4O66qx4BHgX8B23HGBywvxfa3AjNwjgKm43Qb2Y7ThWUvTreOzV7zvwSslpIvff10wUB6nGKxvUjek8C/CwqPKwVYinN0cqmqpqpqGs5YjxScbj1zVPVjd/5NOF1iPlTV4zjjMTa568/COdr5hojswOnq0roU++M+4C53mTtxxpyUZDZwFfChO7h9otdzvXCuXmaMMRWZ1Uerj75YfTSFyPdnwY0xl5LbNeZBVQ3KVbVE5Dagg6r+r4iMxBlgPy4YWQLBPRr8uqreEuwsxhhjSs/qY2BZfbx82Rg/Yy5TqvqWiNQLdo4Auhr4fbBDGGOMCS1WH01FZWf8jDHGGGOMMaaCszF+xhhjjDHGGFPBWcPPGGOMMcYYYyo4a/gZY4wxxhhjTAVnDT9jjDHGGGOMqeCs4WeMMcYYY4wxFZw1/IwxxhhjjDGmgvt/RT+87wpszEcAAAAASUVORK5CYII=\n","text/plain":["<Figure size 1080x576 with 4 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"code","metadata":{"id":"8QqYBoUFhCHJ","colab_type":"code","colab":{}},"source":[""],"execution_count":0,"outputs":[]}]}