{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Volatility Forecasting" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "_This setup code is required to run in an IPython notebook_" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import warnings\n", "warnings.simplefilter('ignore')\n", "\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "sns.set_style('darkgrid')\n", "plt.rc(\"figure\", figsize=(16, 6))\n", "plt.rc(\"savefig\", dpi=90)\n", "plt.rc(\"font\",family=\"sans-serif\")\n", "plt.rc(\"font\",size=14)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Data\n", "These examples make use of S&P 500 data from Yahoo! that is available from `arch.data.sp500`." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import datetime as dt\n", "import sys\n", "\n", "import numpy as np\n", "import pandas as pd\n", "\n", "from arch import arch_model\n", "import arch.data.sp500\n", "\n", "data = arch.data.sp500.load()\n", "market = data['Adj Close']\n", "returns = 100 * market.pct_change().dropna()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Basic Forecasting\n", "Forecasts can be generated for standard GARCH(p,q) processes using any of the three forecast generation methods:\n", "\n", "* Analytical\n", "* Simulation-based\n", "* Bootstrap-based\n", "\n", "Be default forecasts will only be produced for the final observation in the sample so that they are out-of-sample.\n", "\n", "Forecasts start with specifying the model and estimating parameters." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Iteration: 5, Func. Count: 39, Neg. LLF: 6942.159596737265\n", "Iteration: 10, Func. Count: 72, Neg. LLF: 6936.718529994181\n", "Optimization terminated successfully. (Exit mode 0)\n", " Current function value: 6936.718476989043\n", " Iterations: 11\n", " Function evaluations: 79\n", " Gradient evaluations: 11\n" ] } ], "source": [ "am = arch_model(returns, vol='Garch', p=1, o=0, q=1, dist='Normal')\n", "res = am.fit(update_freq=5)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "forecasts = res.forecast()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Forecasts are contained in an `ARCHModelForecast` object which has 4 attributes:\n", "\n", "* `mean` - The forecast means\n", "* `residual_variance` - The forecast residual variances, that is $E_t[\\epsilon_{t+h}^2]$\n", "* `variance` - The forecast variance of the process, $E_t[r_{t+h}^2]$. The variance will differ from the residual variance whenever the model has mean dynamics, e.g., in an AR process.\n", "* `simulations` - An object that contains detailed information about the simulations used to generate forecasts. Only used if the forecast `method` is set to `'simulation'` or `'bootstrap'`. If using `'analytical'` (the default), this is `None`.\n", "\n", "The three main outputs are all returned in `DataFrame`s with columns of the form `h.#` where `#` is the number of steps ahead. That is, `h.1` corresponds to one-step ahead forecasts while `h.10` corresponds to 10-steps ahead.\n", "\n", "The default forecast only produces 1-step ahead forecasts." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " h.1\n", "Date \n", "2018-12-27 NaN\n", "2018-12-28 NaN\n", "2018-12-31 0.056353\n", " h.1\n", "Date \n", "2018-12-27 NaN\n", "2018-12-28 NaN\n", "2018-12-31 3.59647\n", " h.1\n", "Date \n", "2018-12-27 NaN\n", "2018-12-28 NaN\n", "2018-12-31 3.59647\n" ] } ], "source": [ "print(forecasts.mean.iloc[-3:])\n", "print(forecasts.residual_variance.iloc[-3:])\n", "print(forecasts.variance.iloc[-3:])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Longer horizon forecasts can be computed by passing the parameter `horizon`." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " h.1 h.2 h.3 h.4 h.5\n", "Date \n", "2018-12-27 NaN NaN NaN NaN NaN\n", "2018-12-28 NaN NaN NaN NaN NaN\n", "2018-12-31 3.59647 3.568502 3.540887 3.513621 3.4867\n" ] } ], "source": [ "forecasts = res.forecast(horizon=5)\n", "print(forecasts.residual_variance.iloc[-3:])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Values that are not computed are ``nan``-filled." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Alternative Forecast Generation Schemes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fixed Window Forecasting\n", "\n", "Fixed-windows forecasting uses data up to a specified date to generate all forecasts after that date. This can be implemented by passing the entire data in when initializing the model and then using ``last_obs`` when calling ``fit``. ``forecast()`` will, by default, produce forecasts after this final date.\n", "\n", "**Note** ``last_obs`` follow Python sequence rules so that the actual date in ``last_obs`` is not in the sample." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Iteration: 5, Func. Count: 38, Neg. LLF: 4559.84602040562\n", "Iteration: 10, Func. Count: 72, Neg. LLF: 4555.383725179201\n", "Optimization terminated successfully. (Exit mode 0)\n", " Current function value: 4555.285110045353\n", " Iterations: 14\n", " Function evaluations: 97\n", " Gradient evaluations: 14\n", " h.1 h.2 h.3 h.4 h.5\n", "Date \n", "2010-12-31 0.381757 0.390905 0.399988 0.409008 0.417964\n", "2011-01-03 0.451724 0.460381 0.468976 0.477512 0.485987\n", "2011-01-04 0.428416 0.437236 0.445994 0.454691 0.463326\n", "2011-01-05 0.420554 0.429429 0.438242 0.446993 0.455683\n", "2011-01-06 0.402483 0.411486 0.420425 0.429301 0.438115\n" ] } ], "source": [ "res = am.fit(last_obs='2011-1-1', update_freq=5)\n", "forecasts = res.forecast(horizon=5)\n", "print(forecasts.variance.dropna().head())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Rolling Window Forecasting\n", "\n", "Rolling window forecasts use a fixed sample length and then produce one-step from the final observation. These can be implemented using ``first_obs`` and ``last_obs``." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "....................\n", " h.1 h.2 h.3\n", "2009-12-31 0.615314 0.621743 0.628133\n", "2010-01-04 0.751747 0.757343 0.762905\n", "2010-01-05 0.710453 0.716315 0.722142\n", "2010-01-06 0.666244 0.672346 0.678411\n", "2010-01-07 0.634424 0.640706 0.646949\n", "2010-01-08 0.600109 0.606595 0.613040\n", "2010-01-11 0.565514 0.572212 0.578869\n", "2010-01-12 0.599561 0.606051 0.612501\n", "2010-01-13 0.608309 0.614748 0.621148\n", "2010-01-14 0.575065 0.581756 0.588406\n", "2010-01-15 0.629890 0.636245 0.642561\n", "2010-01-19 0.695074 0.701042 0.706974\n", "2010-01-20 0.737154 0.742908 0.748627\n", "2010-01-21 0.954167 0.958725 0.963255\n", "2010-01-22 1.253453 1.256401 1.259332\n", "2010-01-25 1.178691 1.182043 1.185374\n", "2010-01-26 1.112205 1.115886 1.119545\n", "2010-01-27 1.051295 1.055327 1.059335\n", "2010-01-28 1.085678 1.089512 1.093324\n", "2010-01-29 1.085786 1.089593 1.093378\n" ] } ], "source": [ "index = returns.index\n", "start_loc = 0\n", "end_loc = np.where(index >= '2010-1-1')[0].min()\n", "forecasts = {}\n", "for i in range(20):\n", " sys.stdout.write('.')\n", " sys.stdout.flush()\n", " res = am.fit(first_obs=i, last_obs=i + end_loc, disp='off')\n", " temp = res.forecast(horizon=3).variance\n", " fcast = temp.iloc[i + end_loc - 1]\n", " forecasts[fcast.name] = fcast\n", "print()\n", "print(pd.DataFrame(forecasts).T)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Recursive Forecast Generation\n", "\n", "Recursive is similar to rolling except that the initial observation does not change. This can be easily implemented by dropping the ``first_obs`` input." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "....................\n", " h.1 h.2 h.3\n", "2009-12-31 0.615314 0.621743 0.628133\n", "2010-01-04 0.751723 0.757321 0.762885\n", "2010-01-05 0.709956 0.715791 0.721591\n", "2010-01-06 0.666057 0.672146 0.678197\n", "2010-01-07 0.634503 0.640776 0.647011\n", "2010-01-08 0.600417 0.606893 0.613329\n", "2010-01-11 0.565684 0.572369 0.579014\n", "2010-01-12 0.599963 0.606438 0.612874\n", "2010-01-13 0.608558 0.614982 0.621366\n", "2010-01-14 0.575020 0.581639 0.588217\n", "2010-01-15 0.629696 0.635989 0.642244\n", "2010-01-19 0.694735 0.700656 0.706541\n", "2010-01-20 0.736509 0.742193 0.747842\n", "2010-01-21 0.952751 0.957245 0.961713\n", "2010-01-22 1.251145 1.254050 1.256936\n", "2010-01-25 1.176864 1.180162 1.183441\n", "2010-01-26 1.110848 1.114497 1.118124\n", "2010-01-27 1.050102 1.054077 1.058028\n", "2010-01-28 1.084669 1.088454 1.092216\n", "2010-01-29 1.085003 1.088783 1.092541\n" ] } ], "source": [ "import numpy as np\n", "import pandas as pd\n", "\n", "index = returns.index\n", "start_loc = 0\n", "end_loc = np.where(index >= '2010-1-1')[0].min()\n", "forecasts = {}\n", "for i in range(20):\n", " sys.stdout.write('.')\n", " sys.stdout.flush()\n", " res = am.fit(last_obs=i + end_loc, disp='off')\n", " temp = res.forecast(horizon=3).variance\n", " fcast = temp.iloc[i + end_loc - 1]\n", " forecasts[fcast.name] = fcast\n", "print()\n", "print(pd.DataFrame(forecasts).T)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## TARCH" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Analytical Forecasts\n", "\n", "All ARCH-type models have one-step analytical forecasts. Longer horizons only have closed forms for specific models. TARCH models do not have closed-form (analytical) forecasts for horizons larger than 1, and so simulation or bootstrapping is required. Attempting to produce forecasts for horizons larger than 1 using `method='analytical'` results in a `ValueError`. " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Iteration: 5, Func. Count: 44, Neg. LLF: 6827.96641441215\n", "Iteration: 10, Func. Count: 84, Neg. LLF: 6822.8830945206155\n", "Optimization terminated successfully. (Exit mode 0)\n", " Current function value: 6822.882823359995\n", " Iterations: 13\n", " Function evaluations: 106\n", " Gradient evaluations: 13\n", "h.1 3.010188\n", "Name: 2018-12-31 00:00:00, dtype: float64\n" ] } ], "source": [ "# TARCH specification\n", "am = arch_model(returns, vol='GARCH', power=2.0, p=1, o=1, q=1)\n", "res = am.fit(update_freq=5)\n", "forecasts = res.forecast()\n", "print(forecasts.variance.iloc[-1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Simulation Forecasts\n", "\n", "When using simulation- or bootstrap-based forecasts, an additional attribute of an `ARCHModelForecast` object is meaningful -- `simulation`." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(735967.0, 736328.0)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "fig, ax = plt.subplots(1, 1)\n", "var_2016 = res.conditional_volatility['2016']**2.0\n", "subplot = var_2016.plot(ax=ax, title='Conditional Variance')\n", "subplot.set_xlim(var_2016.index[0], var_2016.index[-1])" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "forecasts = res.forecast(horizon=5, method='simulation')\n", "sims = forecasts.simulations\n", "\n", "x = np.arange(1, 6)\n", "lines = plt.plot(x, sims.residual_variances[-1, ::5].T, color='#9cb2d6', alpha=0.5)\n", "lines[0].set_label('Simulated path')\n", "line = plt.plot(x, forecasts.variance.iloc[-1].values, color='#002868')\n", "line[0].set_label('Expected variance')\n", "plt.gca().set_xticks(x)\n", "plt.gca().set_xlim(1,5)\n", "legend = plt.legend()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import seaborn as sns\n", "sns.boxplot(data=sims.variances[-1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Bootstrap Forecasts\n", "\n", "Bootstrap-based forecasts are nearly identical to simulation-based forecasts except that the values used to simulate the process are computed from historical data rather than using the assumed distribution of the residuals. Forecasts produced using this method also return an `ARCHModelForecastSimulation` containing information about the simulated paths." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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Eqmp19/8vhCj5+9pootHgmPlZiBoJzz2i2uC5R8NVrhrqDcvVeqqhrotkIlPjI64f7e2RivYbViidOHEiJk2ahHA4nN+2zTbb4NNPi1cLx4NQKDykauRIaqQlepqammt9CEREREQ0jhXODU1kbGQ4N3TEDeuZ3H333bFhwwZ0dnbmt61duxbTpk0b9oGNRevWfYA5c/bB888/AwCwbRunnnoSli+/CgBw3HFH4vHHf47TTvsm5s3bD4sWnY/Nmzflb//55xuxbNkizJu3H4499nD853/+BJZl5a9/440/4dvfPgVz587GySefgFdfXQkAOP74rwMAFiw4BitWPAcAWLnyZZx88gmYO3c2zjjj3/D66z1rz9q2jVtvvQHz5x+EY489HH/6U891fV1xxTJcffUPem27+ebrcNllFwMA3n77LZxzzpmYO3c25s3bDxdeuBCbNn0OAFix4jl85zun4bLLLsKhhx6I5557Bued9x3cc8+d+eO4444f45hjDsOBB34F3/jGEXj66Sfzj3PccUfiqacex7//+xmYO3c2zjrrW3j33Xfy12/Y8AkuuugCHHLIATjmmMPws589UPFzSURERETjh+MKdKcsfLoljX9+ml03tCsDIbx1Q2dO9NYNndoWRHNIZyCtsmFVSvfee2/ssMMOWLJkCS6++GKsX78e999/P84777xqHR8A4PFf/xmPrnijqvc5kJMO+zJOnL9nVe9z6623wSmnnI677roDBx44F0899Ti6umJYuPDC/D4PPHAPvv/9i7DDDjvitttuwiWXLME99zwEIQQuuWQJtt32C7j//kcQi3Xi5puvg23bWLjw+/jww3VYsuR7+Na3zsCVV16LP/7xD7j88qV4+OEncO+9P8VZZ52Ku+56ENtvvz3WrFmNa665HIsWXYxdd90Nb7zxOi65ZAnuvvsBbL/9jrj//rvx2muv4vrrb4Wqqrj22itL/kxz5x6K5cuvhGVZ0DQNruti5cqXceGFFyGVSmLJkgtw/PELcNllV2Hz5k1Yvvxq/PSnD2Dx4qUAgL///W3sscdp+M53zkE4HMFvfrMif9+PPPIQXn31FVxzzQ1oaWnBr3/9An70o5uw//4HYsKEdgDAgw/ei4suugxTp07DbbfdiFtvvRH33vtTmKaJCy88D9ts8wXcffcD2LRpE664YhkmT56CQw6ZX/a5JCIiIqKxLVcNzS3XwmpobQ17Tuldd92Fq6++GscffzzC4TBOP/10nHzyydU6voZz22034j/+45Ze28LhCJ5+2gtbp5xyOl588Xe44YZr8Nprr+KHP7wRkUjPWOuvfe1IzJ9/OABg2bLLccIJR2HNmvfQ1dWFDRs+wd13PwhFUTBz5ta48MKLceGF5+Hssxfi+eefxc47/yvOOOM7AIAZM7ZCKpVEOp1GNNoCAIhGo/D5/HjssYdx+OFfzz/OtGnH4e9/fwdPPvk4li79AZ577hmcc875mDVrDwDAeed9HxdfXDys7b33vgCAVav+hH322Q9//etfkMlksM8++yGRiOOUU07HSSedDEmSMHXqNBx00MF4++23et3Ht751OoLBUL/73nbb7bB06Q+wyy675p+7Bx+8Fx999GE+lB566OE44ICDAAAnnXQyLrlkSfZ4/hebN2/Cffc9jHA4jG233Q4XXngx/P4A/vznN8o+l6o6rNOCiIiIiOqQ7bhIGU6vuaGSJMGvyWjLdsr1s1NuTQz63fd7773X6/LEiRNx++23V+2Aijlx/p5Vr1qOlNNPPwtz5szrtU2Wez5h0TQNS5ZcgnPPPRNz5szDvvvu12vfXXf9Yv77qVOnoampGevWfYDu7i4kEnHMn39Q/nohBCzLwsaNn2Hduvex444797qv0047EwDw6acbem1ft24d3n9/LV544dn8Ntu2sfPO/4pYLIZYrBPbbbd9/rqddup9v4V0XccBB8zBK6+8hH322Q8vvvg77L//AfD5fPD5fDjsMG9I8po1q7Fu3QdYu3Y1/uVfdsnfvrm5uWggBYADDjgIb7zxOn7yk9vw0UfrsHr1PwAAjuPk95k2bXr++2AwBNd14TgO1q17H9Omzeg13/mrX/0aAOCppx4v+1wW3icRERERNSYhBDIF64bmq6GKjJBPYTW0jrAkVGXRaAumT59Rdp+1a1dDURS8++47SKfTCAQC+esURem1r+s6kGUZjuNg+vQZuPHGH/W7v4kTJ0FVtYqP0XEcLFhwMg4//Ou9tmtaz30U9kYaqHI4b96huPrqy2BZS7Fy5UtYutSbY7pp0+c488xTsP32O2KvvfbB179+DF577VW89dZf87fVdV/J+73nnjvxq1/9Eocd9nUceuhhWLRoKY477siSx9xz7KLs8zHQc0lEREREjcl2siE0WxF1WA1tCPxYYJRt2vQ57rnnDixd+gPouo57772z1/Vr1qzOf79+/cdIJBL4whe2x4wZM/H55xvR1NSM6dNnYPr0Gejo6MBdd90O13UxY8YMrFnTu4p9wQXn4Fe/errfSbfVVjOxYcMn+fuZPn0GfvObFVi58mVEo1G0trb1ahi0enXv++1rzz2/DEmS8fjjP4dt29hrr70BACtXvoRgMISbb/4PnHDCSdhtt92xYcMnACrrBvzss0/he99bjHPOOR/z5h2KdDqdvWbg28+YMQMbNqxHMpnIb7v//rtx7bVXDvhcEhEREVFj8NYNtbG5K4MPNybwz08T+HRLGsmMjZBfxZTWAL4wJYyZk8KY0OxHwKcykNYhhtIqSyYT6OjY3O8rlUoCAG699QbssMNO+NrXjsD3v38RnnrqiV4B8KmnHsfvf/8y1q5dg+uuuxp77vllbL31Nthrr70xdeo0XH31ZVizZjXefvst3HDDNZBlGT6fD0cffRz+/ve38fDDD2H9+o/xxBOP4u2338Kee345X4ldu3Y1UqkUTjjhm3j55f+Hxx//Odav/xjPPPMkfvazBzBt2nRIkoRjjz0eDz54D95443W8++47uP32/hXFQoqi4KCD5uKnP30ABx44J19ZbWpqxubNm/DGG6/jk0/W45FHHsIrr7wI06ysy21TUzNee+1VfPLJerz11l9xzTWXA0BFt99rr30wceIk3HDDtVi37gP88Y9/wH/912PYe+99B3wuiYiIiKh+2Y6LrqSJDR0prP00gQ8/T6IjbgKShLaIjpmTwthuShhTWwPslNsgOHy3ym6//UdFQ9yCBSdjl112xR//+Ac8+OAvAABf/vJXcOCBB+P663+I++9/GIDX6Ojee/8Tn366Afvss1++S62iKLj++lvxox/djLPPPgM+nw8HHDAn3y126tRpWL78Jvznf/4EDz54D7baamtcd93N+fmRhx12JK666jKcffb5OOGEk3D55dfgwQfvxV133Y7Jk6dg2bLL8/Nbv/WtM5DJZHDFFZdCURScdtqZuO22G8v+3PPmHYqnn/4vzJ371fy2gw8+BG+++X/4wQ+WAQB23vlfsHDhhbjnnjthGAMvKrxs2eW45ZbrccopJ2LChAk48shjoGka1qx5D7Nn71/2toqi4LrrbsGtt96AM844GS0tLTj99DPzx1fuuSQiIiKi+iGEQMbsaVCUsVxvupYiI+xXEfKrCPoUhs8GJgkhKhtLWWWuK9DRkSh63WeffYjJk2eO8hHV3nHHHYlTT/02jjzy6FofCvUxln4no9EgYrFUrQ+DaNzhuUdUGzz3GlN+bmh2fmh+bqiuIORXEfar8Gkyh+LWufb2yMA7gZVSIiIiIiKqscJqaCLbKRcAq6HjBEMpERERERGNul7V0IwNxxX5amh7sx8hVkPHDYbSOvLkk8/V+hCIiIiIiEaEEALpwrmhhdXQgIZQtiKqyAyh4w1DKRERERERjYhS1dAAq6FUoG5DqRCCv5xUF2rUC4yIiIio4bAaSkNRl6FUUVRYlgld55qRVHuWZUJR6vJUISIiIqo5VkNpuOrynXY4HEUstgnRaDs0TecvMNWEEAKWZSIW24RIpKXWh0NERERUFwaqhob9KoKshtIg1GUoDQRCAICurs1wHLvGR0PjmaKoiERa8r+TRERERONRrhqayNhIsRpKVVaXoRTwgimDABERERHR6BNCIG04SBo2EmkbhtVTDY1k54ayGkrVUrehlIiIiIiIRo9lu0gaNpJpGymD1VAaPQylRERERETjUK4amsjODc1VQzU1Ww0NqAj6WA2lkcdQSkREREQ0Tlh2T6fcXtVQn4L2kB8hH6uhNPoYSomIiIiIxighBFJGT6fcXtXQYHZuKKuhVGMMpUREREREY0hhNTRp2HALqqETQ97cUF1lNZTqB0MpEREREVEDc3OdcotUQ5tYDaUGwFBKRERERNRgctXQRHZuaK4aGvQpaGY1lBoMQykRERERUZ0bqBoazlZDZVZDqQExlBIRERER1SHLdvPLtbAaSmMZQykRERERUR0oVQ3VVRnNBXNDWQ2lsYahlIiIiIioRsw+64a6roCc7ZTLaiiNFwylRERERESjxM2uG5rKNikyWQ0lYiglIiIiIhpJ5aqh0ZAfYb8KjdVQGsfkwexsmiaOOOIIvPbaa0WvP+OMM7B06dKqHBgRERERUSNyXYFExsbGzjTe/yyB9z+NY2NnGqbloDmoYfqEILabGsGM9hBaIz7omsJASuNaxZVSwzCwaNEirFmzpuj1Tz75JP7whz/gmGOOqdrBERERERE1AtN2kUxbSBpOv2poS25uqKbU+jCJ6lJFoXTt2rVYtGgRhBBFr//8889x2223Ydddd63qwRERERER1SPXFUgZdn5Yrmm7AABdUzg3lGiQKgqlq1atwuzZs7Fw4ULMmjWr3/VXXnklvvnNb+KDDz6o+gESEREREdUD0/KWa0lkbKQNB64QkGUJQZ+Klogv3ymXiAanolC6YMGCktetWLECH3/8MX784x9j2bJlVTswIiIiIqJaKlcNjYZ1BP0qgrrCaijRMA2r+25nZyeWL1+OO+64A5qmDeq2kgREo8HhPDwRDYGiyDz3iGqA5x5RbQzm3BNCwLBcxFMmupMWkhnLmxsqS4g2B9AU1BAJ6fBxbihRVQ0rlP7whz/E/Pnzsdtuuw36tkIAsVhqOA9PREMQjQZ57hHVAM89otoY6NwrVQ31aQpCfhWhkIaAT4EsSQAE0kkD6VE6dqJG194eqWi/YYXS559/Hn6/H0899RQAb8kYAPjb3/6GF154YTh3TURERERUdUKIXuuGcm4oUe0NK5T+9re/7XX5hhtugKIoXKuUiIiIiOpGYTU0kbFhFVRDo2EdIb9aUA0lotE2rFA6c+bMXpeDwSBUVcW0adOGdVBEREREREMhhIDtCGQsBxnTQUfSxubOFERBNbQtWw3VWA0lqgvDCqVERERERLXSN4BmTAeG5cJ2vEqoJEmINsloYTWUqK5JQghRiwd2XYGOjkQtHppoXGOzFaLa4LlHNDzFAmjGcuEUBFBdleHXFe9Lk+HTFLS2hnjuEdXIqDQ6IiIiIiKqtnwANZ2eEFokgIb9aq8AyvVCiRoTQykRERER1YwQApYjYJQJoD6NAZRoLGMoJSIiIqJRkQug3tzPnmG4juvNJssF0IhfhS87DNenyZwHSjTGMZQSERERUdUVBtDCENovgAY0L3wygBKNWwylRERERDQsfQNoxnJgFAugQQ1+zauA6gygRJTFUEpEREREFRNCwLJdZCyXAZSIqoKhlIiIiIiK6hdAs8NwywVQnyZDYgAlokFgKCUiIiIiCCFg2i6MEgFULgygugK/xgBKRNXBUEpEREQ0zuQCqBc83ZIBtCmoeV1wGUCJaAQxlBIRERGNYcUCaMZy4BYGUF1BU7YC6mMAJaJRxlBKRERENEZUGkCbGUCJqI4wlBIRERE1oMIAmg+hhQFUluDTGECJqP4xlBIRERHVub4BNGO5MMoEUL+uQFcZQImoMTCUEhEREdURIQSMbOgsFUD9DKBENIYwlBIRERHVSKUBNBrS4dNkBlAiGpMYSomIiIhGQdEAajpwBQMoEY1vDKVEREREVZYLoBnLgVHQiKhfAA0zgBIRMZQSERERDUNhAM2YXggtDKBKtglRNKxnu+DKDKBERAUYSm47h54AACAASURBVImIiIgqlA+g2fU/cxVQUSKA+jUZGgMoEVFZDKVERERERVQUQHUFLQygRETDwlBKRERE454rBMzBBFBdgaZIDKBERFXAUEpERETjipvrgms6+RDaN4D6GUCJiEYNQykRERGNWW7BEFyjTABtjejwaQygRES1wFBKREREY4LrCm8N0FwILRNA/ZoCHwMoEVFdYCglIiKihtM3gGZMB6ZdEEAVGX5NzgdQv65AZQAlIqpLDKVERERU1yoNoOFArgsuAygRUSNhKCUiIqK6kQ+gZk8ILQygqiLDxwBKRDSmMJQSERFRTbiu8BoPlQmgfl1BOKAygBIRjWGDCqWmaeLYY4/FJZdcgn333RcA8M477+D666/H22+/jZaWFpx44ok466yzIMvyiBwwERERNZ5cAM2t/1kqgEYCKnwMoERE40rFodQwDCxatAhr1qzJb4vFYjjrrLPwta99DVdffTXWrVuHpUuXIhgM4pRTThmRAyYiIqL6VhhAM9n1QEsFUL+uwMcASkQ0rlUUSteuXYtFixblX0xyXnnlFaiqiksvvRSyLGObbbbB6aefjueee46hlIiIaBxw+swBHSiAel1wOZqKiIh6VBRKV61ahdmzZ2PhwoWYNWtWfvtee+2FW2+9tddQXUmSYBhG9Y+UiIiIaspxRXb+Z88wXAZQIiIaropC6YIFC4punzJlCqZMmZK/nMlk8MQTT2DOnDnVOToiIiKqib4BNGO5sAoCqKbK8GkKIkENfk1mACUioiGrWvddx3GwZMkSpNNpfPe73x1wf0kCotFgtR6eiCqkKDLPPaIaqOdzz3FcpAwHacNG2rCRMmwYppO/XlcVtDTrCPhUBH0qAj4VmsoASo2hns89IvJUJZSaponFixfj1VdfxUMPPYT29vYBbyMEEIulqvHwRDQI0WiQ5x5RDdTLuee4Ilv5zC7Fkp0DmqOpMvyagohPga9IBdS1bCQtuxaHTjQk9XLuEY1H7e2RivYbdijNZDI499xz8de//hX33Xcfdtttt+HeJREREVVBpQG0OaRnl2GROQSXiIhG3bBD6eLFi/HWW2/hwQcfxBe/+MVqHBMRERENUj6Amk6+Gy4DKBERNYJhhdIVK1bgf/7nf3DTTTdhypQp2LRpEwBAURS0trZW5QCJiIiot8IAmquC9guguhdAvXVAGUCJiKh+DSuU/vrXvwYALFmypNf2SZMmYeXKlcO5ayIiIgJgOy4My80H0IzpwCoIoLoqw8cASkREDUwSud7uo8x1BTo6ErV4aKJxjQ0fiGqjknPPdlxkLDc//zNj9Q+gXvBU8uuAKrI00odO1ND4ukdUO6PW6IiIiIgGr5IAGtAVRMM6/BoDKBERjV0MpURERCPMdQW6kyY6ug0GUCIioj4YSomIiEaI6wrEkia2xE2omoJMxoKuKQjoClrCen4YLgMoERGNZwylREREVea4ArGEiS0JE47jIuRXMXNqEyzDYgAlIiLqg6GUiIioShxXoDNhojNuwHEFwgENbZEAAj4VTSEdMcuu9SESERHVHYZSIiKiYbIdF50JE7GE2RNGm3wI6EqtD42IiKjuMZQSERENUS6MdiZMuK5AJKihLeKDn2GUiIioYgylREREg2Q7LrbETcSSJoQAIgEVbU0++DSGUSIiosFiKCUiIqqQZbvYEjfQlbQggGxlVGcYJSIiGgaGUiIiogHkwmgsaQEAmoLenFFdlWt8ZERERI2PoZSIiKgE03axpdtAV8oLo80hDa0RhlEiIqJqYiglIiLqw7QcdMRNdKcsSACi2TCqMYwSERFVHUMpERFRlmE56Og2EE/bkCSgJayjNaJDVRhGiYiIRgpDKRERjXsZ08GWOMMoERFRLTCUEhHRuJUxc5VRC4osoTWioyXMMEpERDSaGEqJiGjcSRs2OuImEtkwOqHJh5aID4os1frQiIiIxh2GUiIiGjdSho2ObgPJjA1FltDe7Ec0rDOMEhER1RBDKRERjWlCCKQNB5vjBlIZG6oioz3qRzTEMEpERFQPGEqJiGhMEkIgZXhzRlOGF0YnZsOozDBKRERUNxhKiYhoTBFCIJnx5oymDRuaKmNSSwDNQY1hlIiIqA4xlBIR0ZgghEAi480ZzZgONFXG5JYAmkIaZIlhlIiIqF4xlBIRUUMTQiCRttER98KorsqY0hpAU1CDxDBKRERU9xhKiYioIQkhEE97lVHDcqBrCsMoEfWSMR1s3JJCKmVCVSSosgRVkaEoEkdQENURhlIiImooQgh0pyx0xE2YlgOfpmBqWxCRgMowSkT5D6xiCRMpw4bfryGTsfrtp2QDqqpkg6os5b/P/ytLnItONAoYSomIqCEIIdCVsrCl24Bpu/BpCqa1BRFmGCUiALbjIpa0EEuYsB0Xuup13N5qajNisRRsR8B2XNiugJP73hGwXYGUYcN2BIQQ/e5XkSUo2YCaD7AFVdfcNlkC/xYRDRFDKRER1TVXCHQnLXTEDVi2C7+uYNqEIMJ+hlEiAtKmg86EiXjKghACIb+KyS1+hLJ/I7zgKENVAEApeT9CCDiu92UXhlbHzW/LmA5s14br9g+vsuSFViUXVAtCa2GoVWSJf7uI+mAoJSKiuuS6Al1JE1sSJizbRcCnYlK0540mEY1frhCIp7yqaNp0oMgSoiEN0bAOn1Y6eJYjSblKKODTSu8nhIArvMqsk620FgZY2xUwLRepbJgt+ThyQYDtU4lleKXxZlCh1DRNHHvssbjkkkuw7777AgBisRguv/xyvPrqq4hGo1i4cCGOOeaYETlYIiIa+1xXIJY0sSXuDcEL+lRMbgkg6FP4Bo1onLNsF7Gkia6kBdvxhvFPavEanCmjNPdTkiQoEqDIClAmvALe37PC0OpkQ2suwFq2i7TpbS/6OIVBVZa8YcN9KrFs2kRjQcWh1DAMLFq0CGvWrOm1fenSpUilUnj00Ufxt7/9DZdffjlmzpyJPfbYo+oHS0REY5eTDaOduTDqVzG1NYAAwyjRuCaEQNp0EEuYiKdtAEDIr6IlXP8fVsmyBF2WoKty2f2EEL0qrfkAW1CJzZje0OJS8157NWhSpP7b2LSJ6lhFoXTt2rVYtGhRv5Pgo48+wksvvYTf/va3mDlzJnbccUf83//9H37xi18wlBIRUUUcVyCWMLElbsBxvflgU9sCCPo4w4RoPHNdgXjaQmfCRCY7RLclrCMa1gcMeY1GkiRoqgStgvDaa85r3wDruEjZ5Zs2Fes03DfAsmkTjbaKXvFXrVqF2bNnY+HChZg1a1Z++5tvvon29nbMnDkzv23PPffEnXfeWf0jJSKiMcVxBTrjBjoTJhxXIBzQ0BbREWAYJRrXLNtFZ8JEV9L72+DTFEzODtEd75W+wnmvlTRtsp3cv73nvDoDNW2Sew8P7ttpWGHTJqqyil75FyxYUHT7pk2bMHHixF7b2tra8Nlnnw3/yIiIaEyyHe8NZywbRiMBDW1NPvj1oTUnIaLGJ4RAyvCG6CYy3hDdcEBFS0jnEP4h6B1eSyts2lQ0wDqVN23KB1g2baIhGNbH0el0Grqu99qm6zosy2vJXe6XT5KAaDQ4nIcnoiFQFJnnHtWEZbvYFEujo8uAK4D2thAmtQTGTWWU5x5Rf7kRE5u7M8gYNlRFxlZTmtDW5IM+xC66ffHcqw7XFbBsF5bjws7+a9lutmGTyG/PGE6/2+bCq6bIUFUZmir3fK/IUNWe69i0aXwa1jsBn88H0zR7bTNNE36/f8BPQ4QAYrHUcB6eiIYgGg3y3KNRZTsutsRNxJImhAAiARUTm33waQqMtAkjbQ58J2MAzz2iHqbtIlYwRNevK2gJ64gENcgSkEoaqNbZwnNvZGgANFWCt4ZOz3ZXeMOD7T6dhh1HwDRtpNI9Vdmi816LVFqLLZ8z3odyN4r29khF+w0rlE6aNAmbN2/utW3z5s1ob28fzt0SEdEYYNkutsQNdCUtCABNQW/OaLWqH0TUWIQQSGaH6CazQ3QjARUtYR1+nUN0xwpZkiAPpWlTQadhZzBNm8rMeWXTpsYxrFA6a9YsbNy4EevXr8f06dMBAH/+85+x2267VeXgiIio8Vi2i45sGAWA5qCG1ibfmOuWSUSVcVyBrqSJWNKCaTlQFRltEa+Lrqrw78J4NZSmTV6TphJNmxwbbpHwWti0qVinYTZtqg/DCqUzZszAfvvth4svvhg/+MEP8M477+C5557Dz372s2odHxERNQjTdtHRbaA75YXRaEhDa8Q34KflRDQ2GZZXFe1KWXBdgYBPxdS2ICIBlW/+qWJDbdpkZ5szFVZiM5YLZ6CmTQXDh5WC4cNs2jSyht1d4sYbb8Sll16KE044ARMmTMAPf/hD7L777tU4NiIiagCG5aAjbiKesiCBYZRoPBNCIJmx0ZkdoitLEiJBLT9El2ikSJIERQIUWYFPK7+v6/YMFS4WYE3bRcooHV57rfPaN8AWbGN4rZwkig3SHgWuK9DRkajFQxONa2z4QNViWA46ug3E07bXUT2kozXC4Xil8NyjscxxBWJJb6kny3ahqTKiIR3NIa3mfxN47tFQlWvaVBhqB9u0qe/yOWO5adOoNDoiIqLxJ2M66IgbiKcsyLKE1oiOFs4NIxqXMqY3RLc77Q3RDfpUTGz2I8whujQGVKNpk+1482CH2rTJ6zw89ps2MZQSEVFFMqaDzd0GEmkLiixhQpOPjUqIxiEhBBJpb4huyrAhyxKaghqiIQ7RpfGpWk2b7EE2berbaTg357UR570ylBIRUVlpw0ZH3OwJo81+tIR1KGN4uBER9Wc7LrqSFmLJniG6E6N+NIf494CoEsNp2pTrNNyraVPGrrhpU7FKbD2FV4ZSIiIqKmXY6Og2kMzYUBQZ7c1+RBlGicadjOmgM2GiO2VBCIGQX8WkqB8hP4foEo2EQTdt6jPnNTfPddBNm0rMeR1K0yYhBAbTuYihlIiI8oQQSBleA6OUYUNVvEpINKSP6UYMRNSbEALx7BDddHaIbjSkIRrW4dM4RJeoXsiyBF1WoA+wX6mmTYUBNmP2btokhIAAIER2fq0ESLIEWZIgSYAE70tIgASp53FcAdcVkCQJkyY1VfRzMJQSEZG3jEM2jKYZRonGLdtxEUuYiCUt2I4LXVMwKepHE4foEjWkXMXScXOB09suS8if07IEyJIMRfb2sezcsOFswMwOJ3azgTX3PeBVW3MNmCQJPcODVQn6IHpOMJQSEY1juTUFO7oNpE0HmipjUksAzSENMoflVU3KsGFsSSGVMvPzeLyOimO7myI1BiFEfohuPG0DAEJ+FdFwACGfwt9PojqQa5KUq0IW/b4gfBZuL7cCqCR5S9IoBV+6X4Ui999eeFkCIICyTZvcIkOGS2EoJSIah4QQSGTDaMZ0oKsyJmfDKN+AVk/GdLCpK4NkxobfryGTsfrtk2tIkXuhL+ymqGSDqyr3zPvh/w9ViysE4ikLnQkTGdOBIktoCeuIhnXoAyyBQUSDl6sy9g2N5YNmz7Zy+oZGVZN7wqRUPFjKsjTsD0YHatpU8f1U526IiKgR5OaJdXQbMCwvjE5pDaApyDBaTYblLZ8TT3kdi9ujfmw9rRmdnale83dybzp6N6Ww4Tii6HIAAHoF11wnxcI17liFpYFYtotY0hui6zgufJqCyS3e3wEO1ycqr+9wWNcVcIpUMYuFTFegbNVS7hMgdVXuFyJ7BUsJ+e8b/W89QykR0TgghEB3ysKWuAnDcuDTFIbREWDaLjq6DXSnLMgSMKHJh5aIL/uGQs52Nxz4fgo/TXcKlwLIXs4FWdNykcpuK6awCpsPskWqsPW2NABVnxACacMbopvIeEN0w9khukEO0aVxyBVlqpO577NzJwc7HLYwOKqKDFnLddPtX6nsXbUcv+chQykR0RiWC6MdcRNmNoxObQsiEuBSDtVkO14YjSUtSABawjpaIzrUQTR5KNSzHIAEVDCMsnBB9nJVWMMSrMKOM67r/Q3oTHgfSCmyhNaIjmhIh8YhutTgcn/7is2lrMZw2MLgqGlykUpl9YfDjlcMpUREY5AQAl1JC1viBkzbhV9XMG1CEGGuK1hVtuNiS9xELGFCAIiGNLQ1+YYcRoeq0gXZgUFWYZ3ia9sVPiarsPXJtL0uul1JE44r4Ne90RGRAIfoUn0p7Obav1JZPGQWXi4nHyKlCofD5vdnsBxtDKVERGOIWxBGLdtFQFcwfUKQi9xXmeMKdMYNdCZMuAJoCnphtBGaw9RVFTbXxIlV2KrIrTPcmTCRzA7RjQRURMM6AjqH6NLIqmg4bJ+qZu66SobD5sKjqsjQORx2zGEoJSIaA1xXIJY0sSVuwnZcBHwqJrVwOYdqc12BzqSJLd0GHFcgEtQwockHn1al9oN1aKhV2Hx4ZRV2xDnZIbqx7BBdVZHRFtHRzCG6NEhC9K1UlqhgFvm+1AdSQM9alqWGw5YbEivxQ6pxgaGUiKiB9Q2jQZ+KKa1sXFJtQgjEkhY6ug3YjouQX0V7sx9+feyG0aEorMJWUjUuVYXNXS6swtpO6WrKeK3CGpaDWMJEd8qC4woEckN0g1xneDwrNhy21LzKYnMwyxloOGypyuVYOu9oZDCUEhE1IMcViCVMbEmYcLIhaWpbAEEf/6xXU65R1OZubzh00MfnuZqGVIXNzYMdYhVWlgqCagNWYYUQSGbs/BBdSZLQFNTyQ3Rp7HDLBMiBusUOdjisT+sJj+WGxNbb+UBjB19ViYgaiOMKdCZMdMa94aPhgIa2SAABhqSqEkIgkbaxObueq19XMKk9xOHQNdRThVWgV7D/WKvCOq5AV9JrqmXaLlRFRnuzH80hbdQba1HlRLlAOcDQ2EqHw+aCo6bKxQMlh8NSA+C7GCKiBmA7LjoT3hvSfBht8rEyUmW5KtTmbgMZ01tCh12LG1M9VmFz2wZThTUsr3FRd8qC6woEfSomNPu5rNMoKpwrPXClsv/2cvp2gNVLBUsOh6UxjqGUiKiO5cJoZ8KEm22s0xbxcS7jCEgZNjZ3GUgZNnRVxpTWAJqCGt/4jQP1VoVVJMCwXSTSFgzLhSJLaA5paAnz3B8qIQRE37Usy3SL7TXXUqDscFi5TyWy13DYghDJ4bBEpTGUEhHVofz6l0kTQnjLOrSN8S6vtZIxHWzqyiCZsaEqMia1BBANMYxSadWswubWiTUtFwnLQcqwkbG8kKvIEvyaDJ+mIJ6ykTKcqlZhx7Lc8jjdKQufdGaQSJoDzrPs6f7a06yrbNVS6tlGRMPDUEpEVEcs28WWuIGupAUBZCujOsPoCDAsB5u7DMTTFhRFxsSoH9GQzjeYVFWVVGEzpjdE17K95ZxaIgoiAQ26JuerdcOpwvZt4jRWOxILIWBYLrpTFrpTFmzHqzJPbAtBK6hUFl/Pcmw8B0SNiqGUiKgO5MJoLGkBAJqC3pzRSpbVoMExbRcd3Qa6UxZkCZjQ7EdLWIfCMEqjSAiBeNrrops2bMjZIbrRcOUfQlVahTUsNz/EuJiRmAs7mkzLq4h2p22YlgNJkhD2q2gK+hHyq2htDSEWS9X6MImoDIZSIqIaMm0XW7oNdKW8MNoc8uaMcsH76rNsFx3ZKrQkAS1hHa0RnZ1LaVTZjotY0kIs4a0trKtelb45NPgPRoYzF7ZvE6dGq8LaTk9FNGN6QTTgU9AaCSAS0PghE1GDYSglIqoB03LQEfc6akoAoiENrQyjIyI/PzdhQsB7rtuafAyjNKrSho3OpIV4yoIQAiG/isktXiVvtCqPVZkLmwuyNajCOq5AIu0F0ZThQAgBv65gYtSPSEDj30+iBsZQSkQ0igzLQUe3gXjaZrVuhDmuQGfcwJaE1yyqKahhQhODP40eVwjEU15VNG16TYqiIQ0tYR16nc8Tr5cqrCwBpiOQMR0YlgMA8GkKomEdzUEVfp1vZYnGAp7JRESjIGM62BJnGB0NrivQmTSxpduA44r8/Fw2i6LRYtkuYkkTXUmv2Y5PUzCpxVtiaKwOK61mFdZyXKQNB50Jrxux4wrIkgSfJkPXZDiOi864ga6EWVEV1rJdCCHqbi4sEfVgKCUiGkEZM1cZtaDIElojOlrCDKMjQQiBWNJCR7cB23ERDniVUa7rSKNBCIG06SCWMBFP2wCAkF9FSziAoE9hICpQrAorhEDGchFPWciYXjgN+nJDc1XoqgxXoGgV1nbcslXYz7oMZDJWr+67SkGI7fel9HzP/zei0cFQSkQ0AtKGjY64iUQ2jE5o8qEl4huzVZJaEkKgO2Vhc7cBy3YR9KmY2hZA0MeXOBp5rivQnfaG6GayQ3RbwjqiYZ3dsyuQ75ybsmDabr/OuYNdoqlYFTYQ9KGrK10wF7YnxDqugFtiPiyAgUOs0n8bgyzR4FXlFburqwvXXHMNVq5cCZ/Ph6OOOgrf//73oSj8dJqIxpeUYaOj20AyY0ORJbQ3+xHlciMjIrekRke3AcNy4NcVTG4PsSpFo8KyXXQmTHQlTTiugE9TMLk1gKaAxrVuB1Cyc26Tb9idc4tVYaPNfqjCLXkbV3jDh3NzX3t9ZauyhXNiywVZSfLmwRYNsUUCLIMskacqofSqq67Cpk2b8Mgjj2DLli1YvHgxotEozjzzzGrcPRFRXRNCIG042Bw3kMrYUBUZ7VE/okNY4oEGJoRAMmNjc7eBjOnApymYNiGI8Ch2MaXxSQiBlOEN0U1kvCG64YCKlrCOgM4PQ8pxXIF4tnNuuk/n3KagVtMpDbIkQVYlaIO4jVsswPYJsb2CrCPglmjuJEkS5NwyOpWE2BFcaoeoWoQQMO3SHwb1VZVQ+sorr+CGG27ADjvsAAA44ogj8PrrrzOUEtGYlnuD2tFtIGV4YXRiNoyyUjIyUhkbm7oNpA0buipjSqvXPIZvzmgkua5AV7aLrmE5UBQZrREd0ZDObs5luEIgmbbRnbKQyNgQQkBXZbRFdESCWkM3H5NlL0hWGmSFEBACPWE1G2D7hlvb9d7I5y6X6lIsSZUNJS4ceswgS6MlmbGxuSuDtOlg+tRoRbepSiiNRqP41a9+hdmzZ6O7uxu///3vMW/evGrcNRFR3clV6jriJtKGDU2VMaklgOYgh+2NlLTpYHNXBsmM93xPbgmgOcQwSiPLtBzEklZ+iK5fVzClNYBIUIPM372ich/WdacsJNIWHFdAVWS0hL0g6tfkcXneSpIEScKgg6xbEGT7VmF7tmeDrDnIIDtAiGWQpcFKG94Hx6nsa/WU1kDFt5VEqd/cQVi5ciUuuugidHV1wXVd7L333rj//vuhqqUzr+sKdHQkhvvQRDRI0WgQsViq1ofRkIQQSGS8OYwZ04GmymiL+NAU4hvUkWJYDjZ3ZbsXK16FpVEr0Tz3GkPuQ6dY0gtVkiQhkh2i6+cQ3aIKO+d2p7xlcBRZQjigoSmo1Xye93g693oF2TIhtu+2ioKs0n+IsZwNsYXbJQbZcSdjOtjcbSCRtqBmX6ubwzpkSUJ7e6Si+6hKKH3kkUfw4osv4txzz0UikcA111yDOXPm4NJLLy15GyEE7EGMMyai6lAUb403qpwQAl1JExu3pJE2bPg0BRNbA2iJ+BhGR4hhOvhsSwqxhOm9qLX40R71Q5Ebd6gkz7365jgutsQNbO7KwMh96NTkR1uzn0N0S8iYDmJxA51xr9mYLEmIhHS0RHREAhokWYIQALJBCegZxiqQ/bfP9yjcLgREr9t430MArndnvbb3vg3yQUuSJUhAz9qligRVzv6rSFBkGaoyfpsNCZGb/5rrTCxgu26vtWPt7Pbc9eWCrDc/Nvf8es9t7jn3vpd7Pe+qIjfkB43U57ValjAx6seEaKBXPw2twmH6ww6lH330EebPn48XX3wRkydPBgC8/vrrOOOMM7By5UpMmDCh6O1YKSWqjfH0ifFw9e3uqmsK2iI65zCOIMt20RE30JW0IElAS1hH6xhZSofnXn0yLK9xUVfKgusKBHxeVTQSGN3GWbm3Y73CV5/LojDYAZVdHsS+IvuA5Y7Bcbz1WDOmAyv7IYumyPDpMnRVgYTetx0NuaGxkncBkvdP9l8JgYCGRHYIdrnj6lX9K9VgqG+lcJxWBXNBttJKbK5qW0q557zUUjz8ULh2bMfF5u7KXqsrrZQOe07p22+/jVAolA+kALDLLrvAcRxs2LChZCglIqpXuXUvt8S9piY+TcHUtuCov0kdT2zHxZa4iVjChAAQDWloa/LVtCMn1bdcmMIQQpzrukhm5z2mDRsSJAT9KprDGnRVzv8+5kMaKg9xAx1T/nKJfUfDQCEOBZchSRBCwLAcpE0Hlu2VMTVNRlPIh5BPgaLIRW8rZb/JfZ97HJS5DKnyfQsvl5P7QKhwaGu/7rm5oa7ZNU5dV8AqaDhU7rnsN5y1xJc8hgKVJEnZKmfltykaZEssxWOZzoDPfb/nus8w4sLnXFW49E41jORr9bBD6cSJE9Hd3Y1PP/0UU6ZMAQD885//BABMnz59uHdPRFUihPfpttOVQTxpAsi+4Sih2B9uqd83Je4j98ak2FWV3EeZ2/fZpf9997mi6DGUuONcZXRL3IRlu/BpMia3BhDJLjWSHw4mlT42vuANjuMKbIkb6EyYEAJoCmqY0OTjcMkRMNQQN1AwwyD2rXWIEwLIWF6Vz3EFFFmCX1Pg0yXYjrfuaDGDCXG5y7IESNnh5gPtW28hDvBGtCUzuc65Tvb81NEUUNEU1KA3YOfcnjVMB/d3um+YKrkcTDbIGqL8EjBA70CVWw6mVKAt3N7IrzHDDrKl1pLNfqhg2faAQXbAKqwiQZF6N4Fq5Oe8WhxXoDNhojNuwM2+Vrc1+aBX8bV62MN3bdvGcccdh2g0iqVLlyKTyeDyyy/HTjvthBtvvLHk7Th8l2h0uK5X9evMLmXg92vIZKxaH1Zd8aoAqX84+gAAIABJREFUrhfaXQFVkRDUFWjq0LpEDivQe3dQJvQW2VZkhyEF+j5XFv/AofR1ZX/uPhuE8FrGJ9IWXCEQ1FVEgiq0Eu9WpILblju+cv9fw3ruyv3cRR6g2M8dCfvRHc+UDXH5ENb3+jIhLh/+0JiVuF6XKwltfS9XEOKMbBOe3LIkAZ+KaFjLr21bjRA3FpTqnNsU9BoW+Rq0c26ths4XC6+lAq2bXQ7GHaDpkCyhV6iqJNCOtyHGvebIFnnuc8vx9L2ulAFDbJHnfaw8364QiCVMbImbsB0XkYCGCc2+QS3nNKqNjjZu3Ijly5fj9ddfh6ZpmD9/PhYvXgy/31/yNgylRCPLtF1vnlTBUgbRsI6pEyPo6kr32rfXH4GCN8V9lftrIYrs1G93UWI7et58l73vge6jzAGKft94f2wTaRtdKQuO41VGm4Javw6bxW7b/7oyP3f/XSo67op/7jIPUOzYK33uKvq5Cx67kp9bCIG04SBpeJ9o+zQFIb8KTSnyfJe4j/7HV+bYCy4M9nem2sp9IDScEJevlg20b+7yICtxktT7mAbct+Bxayk38iGWMJEybMiyhKaghmjI66JLnlzn3O6kiXjarrvOudXQSPO5Sy0DU646m7uulKJrmuY755Yebtzo/++D4YoyldgSXYxLBdn8hwclQqxa+PzX6fMthLc2c0e3Act2EfKrmNDsR2AIfztHNZQOBUMpUfUVLmWQzNgAgEhARTSsI5ANWo304jxSXFcgluz55C/oU9HW5BsTb77qVW6e7ubsC1zQp6K92YeAryrLZQ9bpaF80B+GFFzV3BxAd7f3gVA9hrixwnZcdCUtxJLeMHxdlREN62gO6WOiYVa1GJaTX8LFtF1IkoSwX0VTSEPIrzb8nMdC4+F1r1zjIbfM0Ndyf78qmh/bp4o4nqqyRT8oKLUMj1t+SLck9QzjrqQSqyjyiDzXuQ/zNncbMC0HAZ+KCU0+hPxDf60etUZHRFR7justWRJLmDBtN79GVDSss1FMAScbRjtzYdSvYmprAAGG0RHT7wVOVzC5PVR3HwBUOuS6xK0regxdU3g+jqC06XXR7U5ZEEIg5FcxKepHyM8GZTmW7SKe9oJoxnQgSRKCPgVtTT6EAxpDewMb6nxNUViVHWCYsWW5XhMoUfrDuFy4KhVmSzWDasQlYeTscWsV7t/3+e47jLhweLFZ0GSrojVky4XYgoptqSCbK2pszq7D7tMUTJsQzE9xGA0MpUQNLGM6iCW9N2GuKxD0ecMr2CW2N8fNzYkw4Ljem9WpbQEE66RKNxbVwwscjX25Cnws6XXRlWUJ0ZCGaFgf1JynscxxRT6Ipg3Hm1OrK5gY9aMpqPGDknEsN21gMMEK6KnKlpsfmw9ejgvDGnjeptw3zJaoENbzkNeBDOX5LjWcu1gV1rRdOOYgg6ziNXlLpG2Y2ZElbU0+NAc1KIoMVwAyxKg8z3xHRtRgis6TCnhvwjhPqjfHFejMdnZ1XIFwQENbRK+bIaNjVS6Mpg0buipzOR2qOtvx5szHkhZsx4WuKZgU/f/svUuPLEtWLviZmb/ilZGZe+9zTj2oW7RaQt1qXdEXNerJHTGpEWLEr2BSUlFSqUYg1QRqCoIJE5CYMGBQQggJMWSABGMGqKW6SN26Z++zMyLj5Q8z64HZMjP3cI9HZmRmZKQvae+Mh0eEv8xsfWt961sZrnqKLgBDK1xsqpq4U9hn+TUq5/Z2PkZZWRx5GyltBZ2kBa4tdZwEaItyf6YQuPzestuK0ftPeg3I7gCxm0Li45xYE8AgEeAMZm4NlMhrQFa0UYy3a2fZA85x75n11tsrsUoq3C1L3C0M9TSJOL64zvo6qRaj1g53FoxOBka6vAftT2vrQuLjbIPlpkIccXx1M8B0FL+axb+38zZqa3W3MII8ADDKIlyPBxidGR38JaxLOfdmnLxq5dzeLsc4Y+APoBgTwOp7yx5mNSDb0rIlL6URMJIKk0GE//LlCNfDGGBsC8RWVAsbvJaXaq9SNLdtdSLB+5rS3nq7BNPaRLI+WyeM6qS+uunrpNrMNXVemp6Xk0GE20kPRp/aNoVZ4O7XJSJhgiXX4+TVLOC9nbcpSz/9vCiwKSQEZ7gZm5r5U/bIe41Ga8R8VV6scm5vb9tea2/ZENCeyxgsK4VP8xyzVQnGgPdXKW4mae3cCn64v9QprhVkv4/R0+1BaW+9naF1OmGjnnbVZm1g9N3VcX20ejveikrh42yD+3UFzoAP0ww34+RVClb0dn5WVgp3S0PRNS2bBL66GeBqGL/5e6ypnMsZw2gQ4WqYXZxybm+9PcQeIvwEHNdb9pCMYa23LCkU7wG0p+4tSz7SZ0vJvRknuJ08Xgjzoee4y3pQ2ltvZ2TN3qK9E7bbykrhm/scs2UJDeBqaGpGe+D+tFZWCp/seWcMuJ0kuG1EW3vr7SFGFNS7RYGFbWs1thTdt57165Vze+vt6e1YRV3guN6ylVSQ5fP0lpVK4xurq6E1MB2aUqb4TBkmPSjtrbcXNnLCPi8K11t0PIhwM0pO1qokrDX6uCiRb0oXoePMU1I4ZxCBAt6po3WnshAUAWaivb1K3zyV76nNZaQXBTSA65FZ4Hr1zt4ea0oZFd3PiwJ5KSEEx+0kwfUoOVsH6jmsV87trbfzt4eIEQHH9ZY9pEUMYEE1Y8hLiXVeQYNq7xMkMccqryDK8+wt24PS3np7IZNKY74s8HlZoigloidwwopKYb4sMFuVKCtTa3SdRCgq5VTwdkXqgDr1hHcAV9EAtpw9DagtbD3EfGXA6PUoxu3kfKN+l2LNaOvVMMb7M4629vZ6rMkOyRKBb90OMBm8XXZIr5x7ejumrq233p7LTt1bVkqF2arEjFTJI45hGoEx4H5VYa7Lzv04h96yPSjtrbdntrw01LSZ7S06SCPjhA3jk9QBucj6ssQqrxzF68M0wziLcHs7wt3dym3fpmwXAlb3ujbOklIahTSgdl/fMWAb1O7KyNa2YV5WvKgUPt0XuF+VYOjB6HOZUhqfg/6uV5b609fq9vYY01pjaSm6xA6ZDEwkf5C8TYpur5x7vNEaVUnlFEIr65hX4WOlkXy9QmFbqLU52a1rVCPQ2ltv52BtvU6pX/Nnm4B4f5Xi/TSt9WJ/qd6ykeD4cOCx9aC0t96ewbQ2ke/PiwKrTQXOGCbDGDcn6i1KDs3MOjTK1qN+mBqK1y7w9lBlu/C3DZD1TgL1H6s/D5wI23+MwG+XVVJhUygUUoEzYJRGmAxjVErj031ey8i2OhbsYb2y3roprTFbFPh0b9oPjQcmM9qrGPf2GGtjh7ybGBXdt0hD7VLOnQxiTN6ocq7S2+CyC3h2sXzIERaCIUsEIsFxdZVhPt94x1t7x/sQxlDT+e5ac7bB7umzSb31Rka+5cdZjryUyBKB774ftnZneMnest//lZuDfqsHpb319oRWSYXZssTdskBZKcQRx4dphunoNLVARWmA6Dyg514NY0yHMbJnyji4ie6BVoveWeC6yivcLQqsCw0hGN4PEwxSM8mGE98+UEv7t49mXKcmb2/zVkxrjdmqNP3LKoVhFuE77wYYpP1S0dvD7anZIa/N8tIC0TeinKu1roFLaR3c8HH4Xps5oMkZsphDpAZsRoLV3otEe/uN6+shsh1LbhhcrbGGthhD9UzSsYC2WfbSBWhDptBbC0z0dpgtNxU+znOs8wpJLPDtd0NMBqdvFfjY3rJ9S5jeenthowbv81Xpeot+cW3os4+dMKTSrhXAFj138PocmjB6Rz1ZF+sSgjP8yvvh3iyK6sjIhlTkOjUZLlN7yITZdCi6aMa8w9F4DQ6F1hr3a7PAFaXEII3w1c0Ao6xfInp7mGmtsbTskOXGzFNXw9hRdN+aXZpyrnbgrB1cuqzmHqApBEfEGZKYY2iBphCmXQa9J8TTBwcfE1x9CKA9RH2V9msLsLasM831qAe0l2vrQuLjbIPlpkIccXx1O8B0GJ/VtX4oA6/3OHrr7USmtAGLJsMnwTnD9cg4YY+twXP03GWBxbqC0paee51hegEKjOu8wqd7D0bf236Xh0xoD4nihbYFatuci8Y2pfTP94LaBnBtUr72CUc95UJDwOFrS/1J427qT2+9HWJSacyWRqG5eAJ2yGuyMIC4Ls5fOTcEmvtqNbv6MlL/xUhwK7IiauCS3nsKkZSXsscC2uZ6s/U4CKxWUkGVfp3atf70gPayLC8lPs5y3K9LCMHxxXWG63Fy1okIrU0v10OtB6W99fZIa2vw/qXtLfrY6HcbPXc6inE1SpBdgPDFKq/waZ5juakghHFerw8Eo6eyx4BaUsFry8ZuRcx14FQEGd1DQG1XRvYQ4aiue6RG/Yn4k1F/ensbtikk7paGHaKUxjCN8H6avbl7qlM59yrF1SB6duXcNqC5BTyD+rBdQFNYoDkIM5mNrOalAM3nssdoOuwDtM116dGAtotu3Ki37QHtaS3sOsAZjgrav5Q1S9d+5TvXB32uB6W99fYAe8oG7xRdn61KrC09d5RFr5ae2zQ6d5/mOVZ5hYgifqPk1Tk0TgUPjwO1XTTjTlB7oGMBbIPaSiosN5XLYl2PElwNjWT8KpdbTkjvXPTWZVprLNZWwC03Am5E0X1LolikJny/KnFvheaeUjk37G14SK1mK9BkPnMZN4EmZTXPrIdhb3U7NaANRaCar7lg6hGAtglm9wHac+2L/lJWSQNG75am68DNOMHt5HxF4ZxfbBl9rnRtmh38HT0o7a23I0wqI7t9d+IG7+TUzC+Ungv4Y/xks3OvGYyeykJp94cYORZdNONQ8Ti39brrogIDwyARSCLTSHuVV52/0RSF6lQ67h2MN2OtAm52LJ9z9P6U1qWce/VA5Vway5VUdbpsB/BsAwVEIyXhnyxm9frM4L1+bL5te05AK5VGWamDAa0DrgEbaB/d+JLWG6nqfcGnI6N+f65+YEW9UW3JhrABuevR8T2Ve1DaW28HGKlHzlemf5xr8P5I9UhSYWzSc6ej5GL60lHd4qd5jnUhEUccX94MMB29TeXNU1roWMQd2xSlxMd5jrxSGKamZvRmbAIBW6C2xaloOh/HqE5Sj9o2CjIB27Z+gJfmZFyKkRDZ/aqEOrGA22uxY5RznfPeBi5bgGcX0CRV2UhwpHEdeIZZzX689PYcdgpA2yUCtaXvQID2gHIXB2h3qRqfMaAN+4IrDUyGBowmZ9iPXWvtBD3vbVaUSjYew+jrQWlvvXVYm3rkZBjjZvS4ditd9NwvphlGF0DPJaP+WZ/mOTaFRBJxfGXB6EtP/m/BSluHMluVYAy4nSS4naQ1R+IQULvLDgG1zRrbolK1jO4uI1B7qChUs81PX9v0eCNl5s+LAuu8AreBs1MIuL0WayrnAkCaCNdnWmkgLySWm8qBTQKeag/QFJxhGIsa8Azfey0K3r31dog9Zs1pBbQdYDYUJaTHDwG0zb/N+tlTANpmX/DJIMa7M+0LLpXpNX23LA1bkJ9O0BPoQWlvvW0ZURHuFqfrLdpFzz1XFcbHGDmxn+ZG0TWJOL51a4Sfeufq6S2sQwGetg7lVKB2l9KxDGjISmkUUtUckX37d4woVN8j0FslFe4WxvmopEISGbr99EIpukrVM5dFqUyN6KbEpjD1dIIzxBFDLDjyQiK3ABWoC8NEgmGQRlZp1mc1Q7D5Vu+r3np7qJ0S0DYDqNuKx0BZ+jravYB2X3a2yRKy685iXeLTfXHWfcGpVOFu6WvmB8QWHMQnLb86ryPvrbcXtCY1bZia7OX4EeqRRPWaWcfuEum5ZFqbettv7gvXXqQHo89nW3UoQxNtfUyt81PbY2hgQL0/4M5sbQhqS1UDv/v2r62+6aAaW/b6QC05H58DStZ4EON6lL3KNkFKt7czIeAZ9tEkx7OoFPJSoawUNIA44himEUaZQBa399HsgWZvvZ23PRbQkiDhqQBtUSqs8gpSaSQRx3gYQymNj/McghedJS/PKURIrL67ZYGNbXN4NYxxPXo6IbselPb2pq2NmnY1inHzCCoCiSHNl6ZfKdFzp6PtmqNLMAKjn+4LFBaM9u1Fns/COhSpNK6oDuUNUCsf0x8QCEBtAFybTkeTglwdCWpDmvGnZYX1unBglQHOsQhfYww1UMsY7Ousc3t6j373GKMey58XxvkQnD1YqOKpTeuOPpqh+qwFnl308DBzmcYcUpmg5KZSYFZBeDryzlc/j/XW29u1UJDwcYBWORaZsgG/q2GMJOY1/QZaYx6Soe2qmT0G0Dbbe6WxwFc3RkPlmAAytcda5RU+fJgc9JkelPb2Jq2slGnwTtQ0S6V9KDWN6k9JiVFfMD2XTGuN2bLEN/c5ikohSwS+8374pkRPXtKU1rhbFPjG1qGMBwaMnmMdyrmaA7UPPGVdasddfQKVNuBJWwVKDUBpAPqw9j6HHlMIYmsAF3VAq5S26ssSStuI/SDGJIvABcNyY95jLUD4EDB9qIW9NHf10az2AE3KXGYxh0jrWU0CoUKYfW1Tzv1imj1IObe33nrrrc1ojtyUEh9npg1efGBJ01aGtqt+NgioPhTQcgbklcI6l050czyIcT1JMLRzKc29uwCt1hrrXGK2KrFYG2HQY9haPSjt7c1YUy0MAEa2t+jogU5IXkrMlkYAo5JGCvv6Qum5ZCoAo2WlMEiMoutrpPe9RtNaY7Yq8Wluzv/oTOtQ3oJxxsDF4T1qr6+HuLtbdb5PTogOHit6zYJYeqxaXtv3nvkujU2hsMwrbAoFWDA6TIzjUVYKn+7zR58bBvjfR3P/aB/9PpnPGAcOMACX6rBEAC7TWFhBIKs+G7Q6qWWSgS1wnJcSd/Oippw7HkSYtCjn9tZbb7091jaFUb9frEtEwnQeuD5Q7PFUGdommA0fb0qFxbrEMpdQUoFzhjTiiGOOSip8c5/jm/vt729mZ7XWyAuFdSFd/f1oEOFmnGCUHe6b9F5MbxdvytJpP1NvUaKmjZMHSW230XPHWYSr0WW3RlBK427pM3ODNMKXNw8H9L0dZ0Q1/zjboKjM+f/qZnDUhN/beRs5IfbZSb87nAel0hilEb59m+BmvN1juQmOCeSSGFBVqfrfRt1mGKnXAKAB+8gBT6I0R4I3Mrh1cBruf6FMzedRx62BopKmllhqMAYkMccgiRAnHJU0jIP5sjyMLn0AlZq3vNbPkb319naMWrHNVyUEZ/gwzVwrtuewXT3QldZYrCvc2bK1SHB8912C61GCgfXnVABmuwBtITVWmwrLTYWilNAAIs6QxBxxxFBWCh/nOT7Oc3zvuzcH7XfvzfR2sVZURj1ytixcb9Gvbge4eoBaGNFzDSXB0HOz5LLpuWRNMDpMI3zrdtBT3J7J6N77epY7Aak+M93bobZvHtT6MMosPW+jhHFmaLGJVZytCQE1emoeOvfS79SyxTgsI1wpjeW6xHJTYVMqaK0xSCMMYm5qRDmrZ5CVRuW+R9fe08G+PMZczS+BWWyDXd4Asbuo13Qat2qPu+jVwXf01ltvT2PENJnZINe7q3SrFdtLmVsLViWkVVT/cJ1h2uLDcs7Asc0CUlpjuTalaquN8YVvxgmmo9j5wk1AiyOmzx6U9nZRRg783dLw2RljmAwiXI8TDB4gWNFGz70ZJ7gaxhdfuyeVrVlcFJDS0ES//W6AYU8TfTZbbkxmdF1IJL2AVG8HmlIKi43Ep/scS9uCKosFRpkBjRQl3wU0qd6W6jGz2ILNoLUJAc+nUIGk72MM4AdkjUlU496CUQKiX9xYMZEHqlDTuVEtQHUXvfog6nXjuyqlWsE3fdcp7CEZXt4CbPe9tw9M93NYb5dkhupa4G5RQAO4Hhn1+5dOWFC/+LtFgeWmcsy+6/HhiQVSZZ+tStyvTJ1otMMX7gK0h1jvXfZ2ESaVNsJFiwJFpRAJjvfTDNcP6C1aSaOQNrMy2G+FnksmrZrrZ6vmOh7EeDfpaxaf09Z5ha/nOVabw0URertsIzBTy1yG6rNKo6wUlpsKi40R7+GMIUs4slhAaY1VLmuZyzSug0uX5XwioHlqo/7P9yvfPy90lk5R10+fNyLPL3c+dtYPoxvEqsb29B1Kb2eEXa2veloxLuDIDC9j4EDr9ltguoNenRfSCVqd+33d2+sxqTQ+3+f4xrZiI/X7l27F1hTzjKPjfeKiUq5UrahMvanxhZMnK9s6iZdZliV+/vOf42//9m8BAD/4wQ/w05/+FEmSnOLre+ut05rS1cM0wvtpdnQ2qYue++W1UWN86WjXcxhNrlRz1qu5Pr9tiSJcZ5iOk16A5UKNQIWjyTb6aDaBZ1u2zMxzGnmpUJQSADDOBK6GA1yNYsQBhfYSHHKK2jeVc6+GMa4GsauJujQjEIZzAMdd2WK0AOZdYHpHdrkLHIffcagprRF9vUZRGPYUjYVmC42wXQYP+hFT/XPYn7ivE37bRmVNn+4Nk2xiwehDWwmewkKm4HITiHke0WeaepPOVyVWucmsDlKBd1cpxoPjWsI8xE4CSv/oj/4I//iP/4g//dM/BWMMP/rRj/Anf/In+OEPf3iKr++tt5qR4MvdosCKeosOYlyPj2/oS84N0XN3URIu1SqpTGZ0UUApjckwxrtJD0af0/JS4tMLiiL09jRGPTXzUqKoFBaFwmy+qQHPtl6noeMcCYZhLNxj32MTyAuF2arAKje1xu+nGW5G8UWyGvLSAtFeOfdF7SnFuI6xLjEuKTU2pTR9ZwuJTWlaXDCuUEoNrQnoum/aOg4NHdCPAwEul50lAAtEnNdUSAnQhkDXtd6g58FrPbB9XUat8D7de/X7D++HL+ovVVJhtixxtyxQWqbg7cQIFx2SsQ1bGi5suUcaC3yYGs2U58z6Pnrlms/n+Ou//mv8+Z//OX7jN34DAPB7v/d7+Lu/+7tH71xvvYVWSYW7ZWlroUyR9kN6i1ZS4X5VYrYqa/Tc6RHRpEswVwOxNLSTySDCuxeO9L01I3W6+er8RBF6O9y01iilRlFKk7GslAOiIegcj7R1GhjihihQWKu5y1k9ZanCuVtZKczXBojSXD18xqh9b+drxBAoK4VNIbG2IDS3wlYAEEcc1yMTrP7wboTZbA1lha2k1q6nMLEVnECLVKg0DDuhUedrwK+qZW4ZYx7b6uZ+NmjHpD7tamwDYTDOahnaZtZWtIDah/QF7u14a1O//9bNAMMXUr/Xthzjblk4dt8oi/DFNMP4AKag1oZdM1sWnnEiOKYv3NKQ6UcWCPzTP/0Tfv/3fx//8i//ctQBKKXx6dPiMT/d2xswomp9tr1FaeBR76ND7zlHz12WWGw8PXc6jN8MPZdsOE7x//yPO8yWJTRMDcTtJOnB6DNaJRU+zXPcLUswANfjBLeT5E3dh6/RtDYtSYpKoSg98CxKVaPWxhFHEnGksUAScSSxefzudrSzT+kuy0szD4alCtfj5OKEr5r0MQAYpBGuBtGbm6t7q1sllQOf60IiL6RR94QBaFkikCUCA/s3vFf29QhuM0cbboLXANBKC3LpNUnbSWUBrmFLaHQLXO3L2vp6291ZW6oLDzOyIe14i57M6hneS5pHTmVt6vcfpumLJTAqqTBblZjZoKQQHNNhjOtRjOQAH66kOtFViby0SZlBhOkwftJj+vBhctB2j4b4v/zlL/Gd73wHv/jFL/Bnf/ZnWK1W+MEPfoAf/vCHO2tKGTOTRG+9tZlSGp8XOT7dbbDKKwjB8d0vJ3g3zY6iSazzCt/Mc3xe5KgqhSji+JWvJriZpBdJceuyopS4X5dYrEr8j29mUAr46sMYX94MkPY03WezSir8z89rfJzl0Br49hfmGhyymPT2fKa0yXoSBTAP/obgM4kFrgYmE5NaRziLBUQHcBKCH7Xuaa0xX5b4OFvjflWCc4av3o/xfpq9WIT+KUxR9vc+x/2qNGrBaYQv349wPU77OeoNmlQa602FVV5htTH/isrUTDPGMMhi3E4HGGYxhlm0N7Nz7Ng7pZkMqwGoXT0f64+Ve+x7AZua8zZlZ6mBqtLQpfSYNsC3Wm8LQjUFpTgz5yjmDFHEIYiWLDwV2T3mzbpcHtSsXw64XaxK/L/frLBcl8iyGN//zhTX4+TZj4+A8afZBrNFAaU1riYZ3k0NU3BfmY9UCjMrXklZ1fE4xfcmKabj8wqGP3pVWy6X+M///E/81V/9Ff7gD/4Ay+USf/AHf4CqqvDTn/6083Na48ER494u15o99dJYuBpPzhk2qxybPbdNJX0kyNFzBxHej30kKF8XyNfF8xzUC1glFVa5dAs6NZyPBMdX70dIucnmrFc51v0wfHJz7XXucyhLlX5/nSGJOFbLHP0leBkz4JMynxK5zXoWlacAMsYQC4YkFsgo+xkLpBGvOwNKodwolJuy8/cOzdY0a4SIhji1FN1iU6DYvO75y9UxrSssrHJuHHFMBjGuhkQfQz9HvQEjKuGmlNjkJgsajsEkMv1lrzKTBU0T4WuIlcRmJbHZ8xsPyZQ+tTEAAlbZ2T1gANpBgsvQEgU5zNrueK2yWdvKgWIFqeuZWo26GrNhJIdgx8+HdXXjZtbWZK2F4BCsLijVSkXuqMF9SWC7KSS+nm2wtOr37yYppqMYTErMZutn2w+pNOZWQTcvpRN0ux7bMispMZ+37w/Re414p5lfk4gbQbhRalpkaYXF/b6Rcxp7tkxpFEVYLBb44z/+Y3zve98DAPz4xz/Gj3/8Y/zkJz8B5+eDwHs7TyNZf+qjBODo3qLUi2neoOd+eTPAZBCdVSToKUwpbQCoBaKbwkSUBWcYpIbuPMwiJBHHzc3DKYS9HWdKExg1ddCTgeld1otIPa8ppWt1nkWpkFcKZRN8RhxpxDEeRDX67XMJTrlSBZstHGYRvri+nFZUb1U5t7e6lZUBoOvcixFR7TWMGoVrAAAgAElEQVTRcCeWgdCk4b5l44yBi8eND6qLrVGOG8/b6myV0k4FXNq6WwdobbY2FJHSNSoysUuY+9/RkNFs/2Ne86JuJhPramg76m2bVGR67RjLS4mPsxz36xJCGM2S6wMykac0miPvlr7N1SAR+NbtAJNBvHdfmuKdbn4dxgf70y9pjwalX3zxBaIocoAUAH71V38VeZ7jm2++wfv37x/7E71dqFEU6POyRFFKRILj3STB9EDFMMAPwNmqhAzUc6ej+KJrJLXWWBfS0JpsZFlroxiYpUY1bZiaBf3cJ6FLtDaFvu+8H2LQg9EntSb4pDYppaW9Acb5MYCT42oQIQnqPl9CwbVVTXwU42Z8OXXepJw7X5Uoe+XcN2VSaa+Ea2tBK2mYO4wxZLGpiaNa0Dh6GYGVt2KMmTrTx4qEae3rZ1UAXmuvNepsKWsrQypz2CZIEaBVyEuftd1ug2Tn8oYyMm+AXG7VkYWlIXdlaJXSmK1KrHIJwYCbcYKbqxSx4HiuW5Fq6e+WBTaFNOvAMHZCXbusjR04yiJMhxlGg9c1vz4alP76r/86qqrCv//7v+PXfu3XAAD/8R//gdFohOvr60fvYG+XZ3lpsqIzK9gxSCN8+90Q4wMHDw3A2dIXak8GEa6Gl6ueS/SmVV5huamwLkxkmRb120mCYRphkIi+jcgLmtYa81WJT/P8LBT6LtWkMjWfDnhaIFpamjrgwWeWCFxF3FBuYyNAdA5zxKnUxM/VupRz3/fKuRdrjoYbqOE2abjDLMIg5q4O+zU5zL15Y8xkMR9jYX2sVHXKcfO1Ji1ZSuXoyLLWz1ZDqjBrK33WVuta8lYBKG3QksFoBGQJx/+cbfD1PHd1uGF7Lqq17RKLOrb1j8mKegG7NBb46maAyXD3HKmUZQeuTE9SrU1G9cvr7FULwj3aU/r+97+P3/qt38JPfvIT/OEf/iE2mw1+/vOf43d/93cRRb0j1psxotd+XhRYbSpwxjAZmmzAIVRG+vxs2RiANwNc7Rm8r9GoxcTKCj0scwlpo8tpbFSDh1mEYRpd3LG/RqP786NV6MsSge++H15skOS5jMBns81KCD45Y0hijkEicD1KkFjgeS7gs2nrgKJLauJf3VxGQK2SCot1taWc+1bKKN6SUQ/edVHvCepouMKMyckg6mm4vbUaUXY5GKJHkEJCSvIWeG1QkKX2bQHv16Yv+CCJEMfcdfTRdltSXw6FpRhtxFgom1ynH7e0/zFZWauOzI1+yrpQqCoJzrnJbI4MY4BzZrKljXpbQGNTKFcnKm0d/u3E6K5cArPm0S1hAGCxWOBnP/sZ/uEf/gFRFOF3fud38KMf/QhxHHd+pm8J8zasVbBjnGB6QCQn7KM0X1eOnns1jC+SnltJheXG14WS4x1HHMM0wjAVGKbRoxsZn6Pgw2s1EhP4ONtgXUgksckEXVqbjqe2Sm63WclL5Wh+gFmcwzrPNDbZz1icdwP6kOVQgeGbu3UgWPH6KbptEfs0Friy7baSZ2y83tvT2V4abiKQxRyD1IDQcxuX/brXm+nqYAQHpdK4GsZ4PzWCg2HWdlernzaqspTKKCXbvzV1ZPiMcCUVykpb4Unt2Dyx4EBDNCps/6O0YZ6UlemPa4C0wCgzY60uJtXI2p5J659DhY5OAkofYj0ovWxbF4aiOw+yAYf2Fu2m5z5tH6XnNqk01paOu8ol8tKLE1EWdJSevsamX5xPY6vcZEZXuVHoe3+V4moYX8z9eWqjGqQ8VLu1j5vgM7V02yTm7vG5ObldRr1Mnfp1wHK4ng6Qcrx6dsdu5dz4xRqv93Ya20vDjX0vUAKj5369+3Xv7ZrWGndLU1ZTSYXxIMb7JxIcbGZtK6WwWJWYrSqsLXskSwSGqWEOaA0nHGWoyMYHriSVpkhU0qBbIRhiYWpka8AtyNqSCnJbP1vK2oqgzjYEtDsVkRv05GNb/zyb+m5vvZEpbQq1Py9MobbgDNejw7IBSmss1xVmIT8+jQ7i1r8WU1pjHTiqGxInslGvq1GGUbq/31pvL2ubQuLjPMdiXSISHF/eDDAdxX1tlLUQfNbUbkvf6B4wi1sSC4yzyFBubZuV6JWAz9AMCK2c8BiB7DjiGGee5fDh/fjVOsa9cu5l2sE03ECM6BLW494u30jj4ePcCA4O0wjfeTd40h71JCQlla6JcCYRx/svRjtZguQHzy21OI44kijFOIswSA2td0sdOaAqV1IFKsnKZXtNptZuo3VQb6vRlZXsytq613hYa8t9Jpab4w8ztEIwfDjw/PWgtLdHW1kp3NleSlIqpPFhtZ41eu7K8OMjcTn8eK01NqVydaHrXEJp7ahO76w4UZb2Yg+vwfJS4tM8x3xl6lA+TDPcjJ9XLv6cjJzZ3GY9qc1K0QI+09g4tWkgOLRL/OHcrSQQ2qDaR4IbAJqlhmr/CgF207aUcznDODPCcsNeOffVWUjDJSBKQRTOGFJbm01Z0Eu4h3t7W9am8fDVhxGGTxw4o9+l9oaMmbnyejzo/G0K9s1WRhTO+8GGefWYbO7O9j9d1GRNNGQzV8iAkqzha21VVacmt1mYof1fvnd70D73oLS3BxnV0t0tCixsb9F9g4+sSc+l9gBXowSjVxxtr9H2LBAl5zyNBa7HCYapwKAXJ3pVVlYKHy0YZQx4f5XiZpK+mWtIoltFKS3oVO6xCsBnJLhrzp0EdZ+vGXySVbJOxy1Cqn0a4XaSYpiKsxVXOtZIOXcelFD0yrmvzyjwG2ZBqUwEMOsS1aUNEtGzdHp71UZ+6dezDTaFRBoLfMd2dnjK+5oSM7Ol6Q0aRxzvpxmuR91Z0aKybVyWBYow2HdCP/g52/+0qiPb14+xHpT2dpQRJeFuUSAvJYTNbF7v6S16qfRcypgsLRCliHNi66uGlrrXqw6+Pqukwqd5jrtlCQbTu+x2klzstayBzyDrWbSAz9T2Fkxt3WcS8Ys6L1TvvcollpuqVu89SCNcj2IML4xq3yvnvm6j8RtmQfPCsHMAM26zRLjsS/ZGaLjUu/huYUoummIwD6mP6+38bJ1X+DrQePjW7eBJNR6orv7OdoQAgFEW4XrUraROvUhpjmWMYZAKvDvzYN8p2v8caj0o7e0go96iRLPNEoFv3RpA2UXfIvrqPKDnvnb5aqnqbVooY9Kk7fWKk6/XpNL45j7H50UBrYHpKMa7Sfpo1eNzMcroN9Vui1I5BxaArWfhrs0KUW/PdeF8jCmlsSo8wyEvVb3ee5hhmBpH/pKc1y7l3A/TrFfOPXOTqlEH2qDhZolh51AW9DXWah9jbl6zc1puFbxLK9CUZTE2m7L1s4x5VVLD7EAduBKQDR8HoLa5XQ9yn8+2NB6uM0zHyZOVFTQ7SkR7EjNOFG5VYrGuoII59moYX4xfcSrrQWlvndbGj6c2BoMdPPdKmj5K8wY9dzpKnpzTf2rb5awOLzRj8lZNWrn4z/c5lAYmQ6PQ91odc3LS8tJnPEntVjfAZxoLdx8nFww+yUh0jLKhays6xpgBoe8mCYaW1nhpNZNdyrk346RXzj1TowBvTQ3XBkSprcQoi5wi7iVfQ1fLTsCzIc5EpA4SYRGcQUTc1D8r5RtNMmaK4kzTSffdYL4vpay8QAxREw8xr3S6G7y2gdwuYHyp1/OhVlQKH2cb3K8rcIYn1Xhw5WrLAot15TpKfDHNWqnBoV6KE4UTHNNRjOkouejx+VjrQWlvW9bWW/TDNMN0Bz9eae2oX6+ZnktF50TH3XJWr1KMLjBj8pZNKY27ZYFP9wWkVJgMYryfpq8mk6+0NnWelc16UsuVAHwyxhALq3Y7iGr9Pt+CUBON61UuscwrbBqiY7dWdGxgG5dfmmltsmr3q9L1fHbKucMYg34+OxsLabjrvHJglMZyZNVwpxdCwyXQJ1UguqI0pNYoK+UAeF55hoeSCsoKr3DUW1tEgtXq2JUGmAKk1CikhtLqYHAJWHovfbf9XhoqdNbNcwt2AWhCtr5Th233oV3/ymNALnB4tpbZ1h5s33avdLyXlcKn+xyzpdF4uJ0kuH0ijQdKsMwWpu5TCBO8ux4Z3YS2fSNROKrFHw8iTIfdlN7e6taD0t6cbQqJz4sC96sSSmsMswhfXGcYdwymXfTc6bB90J6bhY3tSchEKeOsprGZgIZZhOGFOqtv2bTWmC2NXHwlFUZZhPfvhztZAC9pVBtVa7NSeXoaYMFnZKi2bxF8knWNawCO1vgWRMd2Kef2TtJ5WCVV0IrFiBJRX1vOGbJY4Mayk7IzpOGS+mYIumrgUrWATl1/X2tqY6Hd91TSbGcUPE3mM444holAEhsl7zQ2fbx9T0X4nouut6I5V2GfUt0AhqrjMR3XloopibsEnwnZJ7uMqMKcMUQRAxjAsA10/ROPbOkXNGB7YGrgAZlc4GHZ2n2feUqrpMI39wXuFgU0gOtRjHdX6clr3SmAd7cwWU6tNYZphPc2K9pkzkilsVib1i/rXLrtX1tC5lysB6Vv3Ki36N2yxDqvwDnDdE9v0WY0iHOG8SDGdBi/CnpuUfk2LWFPwSQW9hhMT6hLEvYgytOmlFB8g+WqBGujFb2BehjqXfZpnqOwvcu+fTvAMDuP6VAp32aF6LZFKVFKXQOfpG57NYic2m0S84ujmx5iTvl640FoqHx9qeO6zdqi9b1y7nmY0trRTR0N17YTojE9sbTx56ThbgHJUFGzBWw2t9sHyAgg0pGEQJVaTlBmjwSZspgjdarApwXjjl4LBpwoBkkKpTvBbpgpbQDcts8carSGCwGA2WyupSiHZ6x59jT9s/0rIVWtzccxYNtllJugdleG9wCQ2yyruRoaMHrqshqpNOa2tWFeSgjOcN3hCxOdd7YqXQlEEnG8myS4GiWvtuTnHOw8vLDent2aEtZJLPDldYarUdLqtBA9d7YssAqjQbcDTM7c0XHtHCwQJScgEqbOZGQb219KwTlliXILajalUWEkJz1blJ2CD0Bd9KGL9tO2oHRtfy5At6132XffD18sYySVrtV6UgaUel4C3lHNEoGrWFixIX4xrUceatpS+8I2LW9Z+bpXzj0/o3u0JkZUelaDo+EGPUEfuo7uosDuzVpaQLTLHOix4DISHDzyYJPeE8G8r7TxMyqpWuvZqSQmjWPXuziNOOJXOredWqGUrqluAbW7HmsHcM01eEw2V3CAMe4StowoygR2fTlusN/mb6UUoPFgkAsGFKVy2cdBGuFqGEFpjU/z/Lja3CBj3jzHm0Liblni3oLLAYl4DuItdtGm8MyTqi+BeBJj+uA75LSmlManT4uX+Ok3a9qKe3y2xdqAkbC+GbcLELU19Y1tH8JzpufuaucwTCPnrF6CYy+VduAzt2IPoYoqtzTk1Eabs5jj9maEz3erLQGHJm2pbdFrRoGPmT7aFpDOSGoIdHe8fsj101pjmUt8DHqXvbtKMXni3mVkdI1qdZ8N8MkZc2AzbLNyCffoqYzaLxEQLYPg0siO6XMMLoU1gukgwWqZ+2BNGMQ58t7uUs69Gsa9cu4LWEjDJSBKgUCi4WaJwCAVyCztlCykh3ZlJZtgsrndLqOAobD3mKO4NsDmPgps13G7oJotKcit6BAZiamljTnuOVkdIX33LZrWGhqoAdwuWnJzjd+VAT7UKFPenNvq9bjm77qQRqlWaSSxwCgTiAV3WV0Azh85mjZtgWZha7UracoaRlmEySC24nZ+LiZhuGVeoSiVF+4cxhjv6D7RW90+fJgctF0PSt+AKWXoip+ptyhnmI4SXI/baQZt9NzJwESDzpGeq7TGxjqqy1w6UQjOTA8oAqLZK1Y8o4XBND83i35I/QIAIbihPNnFP0u2gXclFSaTAe7v10cBu659okVuX32OPuL1hwLdWqbWvl5WCverEnklncIoZfYpqtqsm3no+aikr/MsrDJkUSqXwaP9Des809go3cZnVid2DuYYDnmF1cYzHITgjt0wTMXZZVYqqbZadTiWwo62FE1ru7cZNMrK0PDzUkJr4/CPsgiTLEIScwjBO4M/pj7vfM7VazWi4YbXObdZQK2BWBjwFUccUcQhbOawNXt5JAWWMy/qEwJJl61sbHeqmj9iduRBy5Xm/CYEt7WeAQg9EyXvtw5Kn8KaoPZQWnLb+i+lwqZUWG5M6UUs2M4gI1GUzbzmM7gcgGbmuScvG8BbSmXEwwoJpYFIGKG7NBJgzGdytYYLIJeVoTTHgtWCKV0B833Z2rbtzoVN9pTWg9LeUJSGljBbFq63KDnlTVoCRd2b9NzpKD67OiSipy6ts7oupBMnyhLhMiaD9HW2cwhbeRD4zBuLPwGblGpvGjU3VJfootel/46mY9wJ7FoyOawjq7n1uUeC3V0LWisADmlL2gi8LNYVNkXlaWKJ2KqpabMtqnLjuACgksa5lFKhkk1RDrMQUYbaBwrOT6TknEwq7QDoKpdbDAcKMJ2TnD4FisIMGY1TEkujDFmWCHx4P8bnz8vtTMWOe1sqjcIqgjsRHJtZTwUH54ePtaYj1QzIdLEXTsFYOHejwF8tY6m0yQRWPgtqmA7aXT8a74KbrH3XGG8Cxa6sZFf28rnOcVPNm9ahGrODM9e3OASgoertuVkPSs/TKBP5cZ5jU0gkEcftJMUgFX4+rNGSuxlebRlgqbwvVUqzRtPaHAX3q9YmQFQUEkVlQKvgHFkqMIg5ImHWHU2cZMacwjK9ZL7HB9YfQpmu+VUt4HVnPW5jbj+nsdiD0jdqNMA/B71FJwND0W22Memi506H8VkVa1NtzjKoCw1FTIapMD3aXqGSpgOPlnpLkyfRYsixJeot0XDpOJsAtghqE8nC7Fwac1xPh5jP13uBXZvTfIztAq1d9alNh/hYsJuXppH2/aqE4Ay3VyluRomLgjajuJ30JWXAJrUgILptKb0zqgHnVApuHDJqTdB0IrcA/g7gH54LcvIuSdKfLKTZN3sADxJh673PB4QqpbEuKtPf1ALQolTQ8NmxOGKII4EkYnaMsto9NhwmWK+LrXs9BIf0uKokFhvTwsbUL3GMMxMoDOugW2vPGsyDztefgJq/L7C1j7r/0KzuFgW2JSupNGqU2DYKrAGiGpWigJNpP8Lg59IkCDbEEd8Gm3ybKntuAVKilTcDl826z6Ql8/kamR09KD0/W+VG42GVV0Yo6CrF1TA+yb2Vl0ZBd7YqIaXxbSeDCKNBbHAkBfxKhft1icW6QikVGDN+ZWZBK1GGQxXmY4Amg7Z/AdC8tr1hK8A1jy1NGT6Le+hv03x8rJJyc7tTBB97UPrGTCqN2dLIZReVQiQ4rm0/pabIBdFzZ6sSxZnScytpaBzN+rE44o62N8pel4BHWHtD2c/QATDZNa+6SE4A1TW4huFUt2Ppu20ORBjBJgeCAOx4kmFxv6k5w4dE1Woy+g0gVwOzLbTcfZ871GoiTMFkqmwwZl1IcAZcDUxgJRLbdJrwc4DZD1K3DdVuwzotujaJFeMward0Xn19i2qch9bs14mA/87I6h6H/yXonQbUeWGikGafpQIjmw19rGBEeJ+2Aa1d18YJxkgThMiDoISU/l6lnoWRYBA2O9YGOmpZRsYwHCZYroradQ+X4JAiWSkT1Y9pTFuacvM7m0AwvC/C7VpBcIfTcQg1v/PcPuL+Dh0vOi2MBdVmOtzWOmiB40bbkxPIGHXVMMcccXO9RDAGKgtIS6lRVdIqwZr309ivN4PUBATPYX08xsj5DsXvKHAZXo+kJfN5STXtPSg9H9sUEl/PNlhuKkSC4/1Viuno8WCUBDnvFgVWuU/KXNuWSvT9lVS4X1eYLwusC69QPh0lGGfRFpMwtE4/aE8QcJ8w1SHGrM/CYIJ9zM6MdNrCvd76RjtPmmPwqstHAeyWoPohIFdwhu999+aw3+lB6eu2je2nNLfKYcPUDMCmiItSGvfr0qoznh89t5O6F9aPZdGriNCGEeiwBjSkP5HwQ5j9pGMLaxNd9LoBkuJGXWJY66DUdj9Lcqy11q11bazhqB5F4217/4iM3q5MT9vkH4K/Sior9GLuF0OT5GBgWxM9ZUhMGwJD66nsb5ADKzhHFDGb9eJIhMmKRJTt6AB3p8pmHpL12iU60fX6obaX3nkAAA7rH3Pbd5Gyi0R3zBKBYSKQpQKJ4K4VX+t1bwY59mT0j1low/MuNSBtZozGGt0T5KCbVhVUx9p9D3RFltsc47KSmK8q2+eugtZAmnCMshjDxNc6heehC1y3AcVjrOv6tx5rC/ANS7hof8xTD/alNP0VzXm2/RalctlKbS5I4DQFoJORAiiBTbjHDozSPqP+HKAMqWl/Ie3v02cjO9aJcp0GlL2uezwE/OewLoWiaiEADdeOSGxnPtM30Me4B6Uvb00m07urFNej5NH3XlGpICuqkEQc03GC6dAnZZTWWK7NPBsKw01HJiHzkgmOfSVLW+tgB8DtCnbuMxZkcEPg29pDiFFwsA5wQ6XlNvvv/+27h+1LD0pfn2mtcR9Egzg3stTXVlo+3G5dSMyt3PU50XNrWZNN5aTyibpn1DTPh7rXZWH7lRCAeqfWZi9rtYXG2QnBY96o+ySjDF0IPIm+67IqAfDMS4mqpZ8lUc6SiOPmeoi72bo2EXZmkB6ZzaN92AV0dr3fBZSVMr3LZqsSWgPTUYx3kxSRYC7DldsWDLkVhaHj0jDfGUeU7eIQlFFlrB0EP9DRP/bY2xz92nl4ANh9aGSXAPAW3VEZAKeVqgEHpRWkBErlgYfWZnHjnGjOrFZ3xizIME799mMEj4UI6+0AzvnuLGDzHNv3pApo2aW5R+ie5pzVakCz5HRURaU1xuMM8/kaWgPLTYX7tQ8SPoVybleQozMAEFw7pcxfKbV5XZn2EuG9QAEArQEVZCvbjByeXfWUUXCPUAbaZzeBiPNaAIzuFfqF0EEryrrY1KZUjoLHGDMiRNxnu1lwvh4azHlomcKx47y5doSiLGSCs1qrFVo/XhO76CHWReMejzPc329cAIGjHsgIr2EY5Ojt8VZWCh/nOearEowBt+MEN5P0UckQrY0Oyl1QqjbOTFKGGH9tJWqR4K6NS+gvX5LtW/PDuT+kJbeC3Qf5PQBlcBnMXPd//9dvH/bZHpS+HqukiQbdUW/RyFB0p43eoo6euzRUXqLnTocxBi9Ez6XJYZWbGqlNLqGsczAgcaIsOuteT1LprdpPqoMDrPhDHIDPxESgGYPLWIb02zKg3nLGHOAMo9eCmyxJSCttVXVlvqUIfbarn+VjI8ZtE14zU7UL0D0G8GkNV9enNBBH5pxDU0N2/3nG4DOe9nwQ9TYSfC9Y3HX8zQm8SV8+lN6oHzjpb1FuuXGyzIH7bJJ/Dh/lhCtdsRkp88xlpQ50zA1oUSgrbettlQMlJPgSR+avsOfTfZv2j8PMGOApl6FzCNSvyaEgQMP3Siwr48ibecdsnyWGLjxITkfP3KLaBwErLjjmy9yyFkLKPmXjef34W5zk5vtEGw4TlUA9a6xcFNtcN2gNhca9qsxrdBG7zkNYI+myklv7aT/vspvmr1bmhVoW/ASBLwABiFZWeMzvRxJRcM/TUgVntWx/M/vLbLZAw4yRzvHeMZe1lTEc7dwB5jpZcKWURqVNthfwNOMkYrakgDvl9Vh44aFzzOp2WZfglOu3qfz7u2qDm3aM8jUZ3ROgewSNcUfnFP5e4zvGadsYrm0ffNdruFb7rJIKn+Y57pYlGIDrcYLbSfKowEhZKdwtC8ysHxxH3HSTCErVCuogEfjA4yzC1SjB6ExK1F6bHZTNDefCYI4EgP/zf/vyoN/pQemZG2U77xYF7teGcjAexLhuiF3soue2qe0+x34XlcJqY9q0rANxIqOQ6/sKnhttKHQqN7b/Z1M8iChQWeIdnVgwSIUt1duwbyhF6JvR61gwVMpE98NG4221jeR8hCDrmGzOOdOYmhMfZYOpv+5sVaGyddC+3hZOYKjZEgF4GKXz0Oztrrq9JmhyQBDYmsClIvqieVxJ72BJymAp44zK4Nxo+76rwwvApQOazWNDI5LJfIaSqNhOpIUxcOGPBzA1eBUFVWDEnpJYGJp9FpuecpE42gneF+zY5+xXlUJeSQs+pasDJRAubFaMAHNTKbRJYd9Xh0vnw2ddze/npYJUCto2rwfTgDZXP0kiSKkwSDiyxDJBCLXZIF0t09PimOuag47gHvICXLvv7W16q3eO645y2DopFPDa5ZTvAtCHvl8LnThA7UFdXhnRqbyQ2BS+NEEDECwIhgjTjoXG3EOobUB7LW4XoN3H9qBbzo1RMAukVcDsMOOL6j5pHAsOK6pW//5jDufY+3zXnNYWyHNjsuP+7QKWNKftC0jQuW5rfdNsj8MY3Jw5GCZYLnPzHY3vM38R1N0xdz/pxn2jg/uR5ivapm37x9peEGvfa4JeztrHV1s2eAs0B+/RPHcMkJNK45v7HJ8XhWEyDWO8u0of3ENaa6MZcbc01FsAGGVRzQ+WSuN+RT6wVd1PheknegYlam/deqGjV25KaczXJe4WBTZFe29RAqyzZYmFpecmEcfVKMHVCzRPp+b2JFBEmbwk4hhaOu4wFWdFHyLwXOv/WSrTdsFaEout/p+MsVq95yG1O1Q3Wqm65H4ROB/hZ51oUSBAcQrJ/XMEpUo3zkkAytc2w661aWt0O0kxHkS1fp/7AhtNwNPMUDqQqAK6qu6gr2pLaWxkRUOVPNScF++wAHUQGC7+zfecw8eNo02ZHQe+mX1PbNe81h0X1JAp7ddeqrbSKKQdG7YPowF5RpzIqc2K/ed/Zz1e6OAe6AxDA0VlxurGNkEvbB06AFf/GWaNGGOdFKauyK+0dNbSAt6itJlhqRzFla79Fti3F5TODIOGEAJaK9Td4rAmxwav0HQwzauhw137ZwMHobBXrZdlzVH3sM/dmw1Hu0u5SwEAACAASURBVOlgtzri9kvUAZ9/jCllz7fUtv5Ug0Ar574naBJzxBG1eegGwOaysK39CkEiusYyACjKKMPVyh4DRGgecdRo7bN79jIj4hxxbGva3bFxz/AIxkeY1aXsqdtvbN/zu3pGy/C+V+EcWQ981QBaOL/ZWAIdRxs139+fcDRtEg4TtpQiZuaepsBCCDxDAGwOU9eU0svKrx1lUMpybI/gWglFY/7pYmqE14QCkQwAuK/Za44rhca4oXupsd3e7dvGoL22j7W9mV/Q3AfrAxomHIkHJRFHEzS3AWn6Ljq3UinMVxXmK5MVjQTHdGRK1eKIO7A6Xxn1XKV9GcTVMH4wCO7t9NaD0ldqrmDb9hZNY9Nb9Gros51lpTBrUBMmgxjTUfys9Neu5vaR4E4dd1fz4+c2pYLsZ2kd7SCLSRTYjKi31hGQDSoeLXxkNWVWlzXlXnSiRWyIjKil9Hl6/JRRvZcEpWEtlMsIN5wHxpjNOmuscwkNjXEW48vbDOMsBlAHkrVsmsZuJeDG+23g9NiMKoM24KPmHMI7Z7UPYCt1SU4KPVPW+yUH45h9OTZ723zfUNRNjTf13GQA4shT7IdpBDOk6/W3B2U1m9en5XNtRq05qFWHlNqdT8ENY8Cp1MbCg/RdjiM8ZVUpEr/SDuwSECfhI7oUxkGGy8IxbtxNRdluraFshpbAh1aA1MrQQbXfd66ZdViNN2/aBwCoZSgAxnjg1Jr7jf7QtXfbNkFxGPxA436wGTc6lhqYDZ3wMIPG6uCCtZzXJmjYC4DtazLIFob9mS3WQRTQ8SnbHY6hgwB28PhUxhrnWYNBW8aD1Gat9LRiH6DigANl7rwLBh7cJwpmzLSDvvr1h9YA88fHGAcBVXrbbujCHx50+3uc7hVzrwFM2x/Ttr0FB3gjcGI/Wds3um5u33E8SHL3FDyVud7ix1DhaT8EY4jjcE4wa/L72xHm8zXcroRzUsd6ofU2PZv+PoSObc5tO128LUjnxlljDO6a65v+X+v42wNit4Bzx1gK19BVLrHY+PYrwyyqtVQ59DxpbYUiqbsA4GnpsRF+M4w0Wz6lNARnGNikR2yD1Iyx1rphxmBf3wbEze27sse9HW89KH1FprXGMpeuYBvAlow10XNnqxIru80wizAdPh8910w8vk3LpvDN7QdBm5ZzkJF3VChLvW1tv2KVNFOruMgAFNILFxWNzzDGavWeXrBIoZD1TF8IWk1NU11s6NAM31PYc4BSAuT1GlxfR0uTTsQpIu7bahSlxP26sq2NGEZZjFiYxe2hjsA+ldQ2et4+waEwcvwU1nQIdgG5NkdpH2gHzGuU+SsrrzrLma/HdRmaRkazCVT2Ups7gGF4/pRtdE7zy7owY1hqcxxGoMrvF9HWmyI+UiqbzQRkZei0RCU05yk8d/XP0vETfdX1n7XHWHdg6bxufxcLgKOhDnOMhgmKorLX10KDLefQQwZNXj3I3af7nkCo2QewIEtrs30EYB240LAbeWVFhjp4cb9Jv2IOASFFFy3ZL9qWMX/NCdi6DJfN+HPK7MI4l6VSKEvfB5iCPEnEMbBiU8NUIEujWrP7x1oXgKW4SKfjTtcuGJc+O6fcWCLBOTrtgnNEvA5CCcAicPCbDr9G/bm5d1WNuh3+pUtdO1aA7gJ//egaB0E0G2uqO+oMYBr+mm85+Hbs03wAgHO4MgDGfPDGZA81wM16Cw1oZu9QDSipUCqNqtLmvqh8MEqaQloPnHmdht4GzMLzkCYRiqIKjqtO+fWsgpB1EpyDNlAYnMg6+K5nqdsAbW1ODwBwcz56yFr34CxvFyjm7TRerTXmqxKf5qZOfphGeD9NMUyj+v3n1pv2cae0KQmZr0vcryqbbAFGaeRa/5W2b/MqN+8zAGnMMUgixJG5OVuBd2PMPta2KNTYD2IP2j54r7Y98+f+NdcZ96D0FZjrLbo0/UIjwXE9ijENqAlEz723LV+Injt9BmoC/T61aQlbOgxsX8FhKhyd9SVMW4cgrMXZFLImAhRHvAY+I5vFpExds2cbZepqohjCTHil1CcRG3ouIyd/nVdYW5CepDGKvAzqcYJMi3UkjONilVMZnDPTXFilNBRPyh5X1rGslBe9YYB37Hn9X3heSqlN7bHUiCKOq0GELBUQVmX1MZnA1ziJP4WZ7LOh2C82piZPa+PgZYEQTCS4d4ZbgO4uEatjlhT6vkoqo+wqtc16mGuaRHX6exIxAAQMTQ1uKHASUq2bxx06gm6bwBEQwoIsu19Sa5SWSUFthBQ0pIRVmrXfoYPxw3wtLmXyiH7IGZAkEcrS1DuBbdMunRutPYTwY0/Z1wPwoQ2dWik0HC8C2OSc2+dBQKgOb+uP3Xu0TxYcM+v4+Rc0TL2sB9IcFmgQoLY3GF0z7bLT5Mh7wZ4QuBLobWYGHcUvmAdC59m8Bzt3sTrIcsflvwcBuKbvr909ITC0me8QLFVK15A8ARrBLUATbgINxk0DaIagJPh13bhYBHBNwMPeMy3BAXNY/vjC18PvpWtJl5QCIrr5mN4PdkSj5Ts63gsOoXYsNRAXfI4celiQSwDUZ/cBzngtOOLGEF1XEBA35yaJzdijwEwNvDuQ5I+ZuZMX3P+7AjLBewCr1f168EtrH8Ab61ob6HXf3Rx32L6PwixvV9CyDRQfY+F4KytDnZVKIYkErixT79D6axqTeSkd/RaAa2s4HkTQGljYZMw60EohlfJjGWVbmd/gtS4QW9u+8V4TZNO83Ny+GXB6rHXRnUOAu1XrH/pDje94CMim/TjUelB6xpaXEp8XBeYrAzQHaYQbOwg5Y0Y5bGneJ3ru1SB2g/4pMzOUpaBsqFJmok9j7ui4NPE8t1Hd4cZl4JRr9QGYARLWklH/w5oSZlWvFw3rPpOIgXMOaONoPKXY0MnOiTLHtC4UNnllz41vg1JU2tGbaOLk3Ahr0NA/aAKgtTBcpMmCSc20bWCIInM+4ohZqp1XF41EXXCmkhqzRY5NqZDEAu+vUlwNH99IuzfLbnCBpcqpRXMbWBqeOLDkFuFmJkCZbOwmt7RMW8ctLTUT8GJV3DmZVlTJZkmo/q6N4euCFYHDZhNQzgNnNroSZrnBmKul2xYTIsfDjx86RxRQEbamkerfOBg0M4BLBd9HoFEIBln5VjpAzZ0PzmPLucU2gAyHJau96rdijH6DOYzYBhS0/eGwpjL8bTQ+29yn+vZ1p7/xMQs4bGaOHP7aMbQdJH02BB0EailAS5nh4HeanwmuPattZ4ME9j6hDDhde3ocAlkf/LL3BjNji867PczafnjqtL2HGk67+073PvPiYyykytaPoXbO6qfMPw8+zPZsT/sL+HEdAlMb+6gBV9pGaQvaLXgvpHIK3VLB0ZEpyF2rg6fAAny2sQmqoOu1lYesYlEkUFWy9pp3xEOH3J5XZrLA9RsXLjKg3Qlg/hZlGgZG1/fHAyA/NsLvJBAc7gdYfZ/CAA1jqN1HTl+Ac1evy4N7rQsghodEQTI/L8EFSsJzv8olZosCeSURcY6R1XcIgdq+LK/WcBT9SmlwBqSxUUCPBTfBf+t7aQ3EgmGYRTUmXmuAuiPLG4Ktl7ZmprgJWHXj3q6BZmDrtZ3btwDvhwQj2uxQEEvX4L/+2heHfW8PSp/HtNZYrCt8pt6ijGEyjHEzNr1FHT136ZXDhqntW/dE9Fzi7pPDusylA2xpXK8he27lMqm0rSny9V1b9NuQesvMwlAG2c+QQst5PfNJk7wRHTpAbCiQ2z+F2NChppSyGUSTqaZzQqC8sNTEcMKhCYKykxE3NMcsNa0vrqcDrKwKoXM0AieskgqFdSZCgRHaDiyMzPmMqlt0tY3E7j02bZ0U83nKKncrQYYiGX7BNY/rC3LEuXutpljJz6O++alMaY0N1Xk32Q3Ueik1GWj+hPcwjd+NdTzWlnJFYDUUOKGFjYBh00zGkQf3nLlfqP6TRE6I/mlAprKCt8wv/rbPZo2+rLxTDXhgRaeGnDjBwkw/d+wCcujovg8zfIIz344oMsI111cZVqvCfrZ5rB4MMlaPrivACOzQa/aYwl6hRM2W2mRyYR3KGgDV9d/TDmV50O1qpO2JCMEVHXDoqmsbxCMRIlM/qd15rYEwwGZ9Qgo5HJDxwBhbsa8QGG0dinulfk/vcm+0RTZWGLn1N+mQHejnFkijfjzeGas7Zi5YR3NYkDGjx1S2IKyIUShW1ZwLa+DCbVP/recyuv9CvYRQaCg8982xQOtpbFvzPPT3AV8XLqVyY7wmWqfNOjoYJJgvcigZqADb95QmVfMGhdYBMp8h69gZ82frjW1gSfdJyK5wgz74nIuABPekqz0PNg0DcG2gNxwVPrO+vT/NfQ3vQeqLvsorlJVy/e5HgwjCtrFqAkFA1+ZIKI1NpXC/LrEkUaKIYzQwyZaiUlhsDIunkgqcMdffPRLc+yiPzvLuZ1x1gfhd1OdzALyH2s5sMPxrp8ge0zj9v/6Pbx20bz0ofWKrpMJsWeJuWbjBfD029FvBGda5bewb0HOnVj33Kei5JE60tECUgFsc8VqblucSJ9LaODLN7GcIKCNhsp9JZAAWGALBnO26TwKPsQU4gFmcqE/hOYgNhcdvVIu9A28oyJWrw2yCTjC4hYKAZyI4ssSIC6Rx5OrtzF+TkaRJczod4NM3S68c7NpZ1LPIYUY4Dc5LdEBGOKS60V+pjADMxjIFVnkFaCPtnsYCGpStCmmhdedAqe2J8hjbVQ/JaxQxH232NXHMCegYJ9OAE6q3pPee2zHs6v+bxV71+inZDVIprK0zsSwUVpvSUNvtNQ8pRnQezc77rKVf8ENKnB27pLpqKbSVUjUwRhZ+VjUWT7p3AA3LggXTGswGKSLhKftJJBBFDDE3UEzBzFFl5UXR6GfDeqt6TS2rLchkhyqAtgEbD8obNWBt23FWA5FNcy/VnIft+mXtnHI/JimQR/NpSNU3oIp7JkR4vYNjA7QbKwTsHHh24xvuOtfmgwA8uEw07bsKHSQ4gCuVqr9Oj4OTwxzyDEC4feL3rzGGXBTDv+MBhN+2+UkbLwkSwaz+yXA/QsDQAh5CGrKwgULOvYPt6njdHObnv6airW+p4oWvALhxV0o/FsLxQNc17AlNoNP1hH1hp/2hWgphPaSUygZu6d4zoJZaeTlVdlvDHra7URpQsmVNc3NVncLc2Anzxz1H7YZy48gFSjzgpM8zxuy8F3yti/BQiEzXsrIULMoLidIGj6ndkvvtcHeawNu+W9L8adeDJDZzbcS5rSE2bDQCooaVZ95vA4vhWIBjR4QjaZvh0BSuqtGcg0DEQ8pQgP31uHtB8SvI8j7GevruCxo5ip+XJe5XJbTWGGWGojvKIpRSY74sMFuVKCsFwY167lPQc8MaslVusmyAARzDNLJOq3iWukeiB4e1n2EblRBQkvS9hqHfEngKM5kUcTW0WQDMUPFKS9c9F7GhslJYFxXWuXTtK+jYC6vuGUaZjAPPwG1mJuL2vJDgR2IcZ1ocmqCTFk2qeSqlqfWkxyKOXL82oK4eHJ6XQ8DnMVZUppH2fFWCM+BmnOBmkj4Y/JMzoJQVtLEZMnpNWgqley1wbOm9urPbIRxyhNG1Yw1HjxZWUXP+qJWHB7hhsIELK4xis75mgTbBFWqTQxR7oN7/d3Aku6GZGaDHUvkMpMmAmL6QIRshVE4GaDE1+x0L364kBG8UEAjrLRmDy3QQEKVr6s+vrYG2k0NFzoQNUtG1DylkzEbsXWaK+zkgEkGgi4I+gUUiCO7YAE9TZGnXOa2kcn1Ty0ojC3oldn8O8G7etnPV5jw95F5155R5xycEiiTqJO28UUojRkK/QzX0VDtPWa/tIJKC1IE6sQWaMhiL9DgEle7Ya/tq7gG6X7bplxpUv0rUUmkDWeH25rr6lkZR5LPxnec6AMgyABhV43h0mL1GPevgAwD1a6WbD5gJCGhy7LWuo1ptTkb4NXSMHVcZBEFMGbDP1FPmurY/QaCCdioEGzXqqBtXZjyHlGNzHzXrQf1j1ni9VvvrAhYB6CKwzurOergdWj7DGMP19RDz2eosnftaAE2Fc19XWzK4XshShz2rtXutBsAUlT3sBr7h60ppx5JiDHacBK1dEAJDZc+rP7cmESCt4JfVCBAcQlhF6grW9zMBKgpmEchtm87qY928UAvQWDBN90UYdKmxq4idQPdyAyBSlhdunJgxQvvmrhmYG/M1kNs4/+7aatSYOodaW3CyTVG+Cdy3tDYan31OhsWLgNKf/vSn+OUvf4m//Mu/3LvtJYJSpU3z3s9Bb9GrYYzrcYJIcFOw/cT0XKUN1ZPoextL3+Pc0veyCKM0cpTXp7K6+qoHonS7EZ02jswCBphJqJDbAkKGRmsmLVqMCHwSqCN7CbEhk32usCkIcFZbLSVCB4f2Uwi/mMexwCA2YCJLuAOd5BBTpNkBzspTaytyGIPnTRPBpH8zHaDMy5P2Pt13fj7Nc9wtSzAA1+MEt5PkrPrVtlkz27vlIFiHvekoeEDnnVWtg9rChoO7bwImmhx9J2VKnDMogvYYjUWbnAbmVGfsa4FzrAjImR+zCyazxxmAPHuM5JiGrRfS2FDDk6AlC9ERmzRs48IAVWWy83mDnk9ghsRqqGci/Sttv1SptGuXoaBdQADWGYld7bKwlMjtRZhz5vpc1tgFFoC2zct0ParGmKtqrxkw6vfdnD8RcVSVbDhPTWdq27kWgSMRUkBDB8RdW3hHigEAt5iGHEh6onUAfQGtSDAuCDrYuUtpXXNuiOZLzuPOLE9gtL+hAIxzGGlODMBOU/iIKOc0l9L8T8Cf6o5h984FRjjRxeGy2CHYPNbash3ub7ANQip0cP9oXa8DIyVnjRAEWwCsPKhQwf668177HoCAB5kiZ1oH1ws+O6QDUS13fLVsVwAGwWwLJPM74Sfo2NyNjOBc1P7z4l7hhvQ2bwCLegAieG5O8nZmsAWsAsBgkGCzKdvZBcH91ZbV2mIqNLNcLX/PDfzSPULMK2KySFuzTwHBwgoPLTemHVsWc2Rx5O7N5r1YD0KZjHpVmfXOBBFNIJHGrBEGAxCsYSaAGgQ9gnvAjx8fRGkC6GawhQEuoOOBJIFLn0ltGt03zbmZ9svtI+rgrrOciHn9gXC+8FXINssbzBu0X13Z3ja9hqfM8raNi4Ooz40s76GgNNq/yWH2z//8z/ibv/kb/OZv/uapvvLVWFkp3FkVXSkV0ljgy5sBJoMIeanwzX3h6bmxwIdpdjJ6rtYam1K5utB1SN9LBG4nCUZPWENGDpqjnVogWgRZSiE40ohhnEU2w+EzG+u8XvdJmdJBwgHGnFOflyYz5L6TG2qpoX7yRtb0tMcppenZSDWd66KqZYuqwHGjuSDMeKW2qfvAZrKymCFNItdzj5wmrVEDmKU9P2UAPOUOwBlHHFnCXHYnpNGFWbPn6lNaSXPv3y0KaADXoxjvrtKzB6NkjJxkcZrva0bDlQaqSlo1TwNqSqlQ5OZ+21TSi2zZSLMJzMAttQown6lgFuoQbAZOq92B+kKu6TjrrznwYv9nFhhENqtEwR6iLQtOQMkswkppSLt3jDHI0oAFl7mvpAvOVCqoO7L3PznhlJ2j+mRafMnJIIEPYZkVBGgoiEMZ6CaVPcx0hgEZKiUg4LvOZQvY1C7IQNeyWQtLTg+Dd2w4Z7Z3X4zNhln13jCLBpfZo+wU+ffOSbHvU0AhNAcsAd/T0u0QfY93zaDrgIeCKg4YMD+HUW19ndruAyM+4OABZ60Oq+HsUAuU1nu14YDJCtgo6dVuQyc6OEjOvNox3QvUPqZJeSZnKrJ/zRgIwVLLySOHtiWD7a82ZWXrx/QQJxEwolgx267XY419DoMQSkkozRw7phaspPvW3QSensvsOdR2IDIWtNeoXSO4Y4f9VehwDvHnLyyp0QxgRJsPQybM3K8smG/Ce5xpE3Ay90z4+XB8BQCGvokFe2MfbyqNqpR1cEGPW4IHtegdUDvvrOV5CIaBurMegpiDwC/3bIVTgV8PqM2CljTep/V6UyrEkcD3v8wOXq/z0rQ0nK2oTynDeBAjEhzLdYn7dYWykgAYssSWRwnmsrphfa9r3RVmH5WG0pSVVO0BsHB+Q+3S+WuDcPyE15KZ9QrMoFt7r5p2W8GY8UPO3R4GJNvt3LjoBr1oAN2tfQrBOQvBrlnPwtKiWJj1b+u+YQ7uurmp/j9zY7tNPZ/AbujbPibLK/jhoPQkmdLVaoXf/u3fxocPHxBF0ZvIlGptVMjuFgUWtm/oOItsVpThflXW6bnDGNNh/GiVS60NmFvlXlGTHKI09lz8Y+l7x/x2SL3NG1nNWDBP8YAZqyScEy5SjtYHvxBS3Wd400eirnD7FGJDShn12rVVr93kEmtb30l959pAJ9XnCMGQRMLRJwl0hk4wtN5ybkvnpCvnjDeNBCIIYMYB0KTnh2TZw+zO1dUA9/frrYUQOE10VyqNz/c5Pi8KKA1cDQ0YTZ6pTvmUtkVrbYkM74oaN99rm24JBJVWrdIElUyklYS80kQgjYRddGzG3S0WuibiQ0CDnFZafBh8ZBcaqDTdj+aeJNAHZrNVwtONieIX0pxDh0E3zlWb4EH9vJq/DPVxpa1D4N6EWWDdPnEzb8TBuIgj5ijnofhZGkeu9omcchlmNiWNyTrYDM0BNbN30HYx9+fKR+59BpG29iCfHNOumtJ6/SuCc2p/lwAcAXRywFQdONgZFlqr4Lu9gqnWfi4jI6eBaOI0t7Lgfe/AA3VYQEe6i0a3/RzBvegi7CC2gQf6lRWvCQFAYgMKkf2bRMJkYoL9qu0fnR90A8YmGKbtHmJbWTW783R+6FvrOM4DoND3tbvvzjHVHirb31VKv65Iu4aEe02Bg/CfC+YIvg2I+DZAY+F/wb0GDUi7b1vnURmxLTcfNuZCOqTdoNcHUJrL0ta1Ycx1JyJga+YWv69ccEip3XVA+FczMO6whTvw7SBA49ptPXGwGJzTM+0+637PApnwuGiucL9HYCUAu7X9Bl27evbWg9nDwC80cL8uMV+W0ADGwxjvJwnSWOwEv0ob8c47qw/BGMNkEGEyjFFWCverEutCgliB01GCcRY9ihUYZvulXbNqTCbt2T1S+prfmgCWJrpzC83Zjq1wzm3sQO21timCU5CEMZAoH3MXGIADseEX0W/6aw54IG26bvn5Af7p1lfVgK39khqVPZiLeTAfUFDRzRHuPQuG3ff4G5cFv6/px4OTEq41//v/+qH7wob7fwpQ+rOf/QzL5RIfPnzAv/7rv140KJXKNAu+WxTISwlhe4tOBjHyUm7Rc08xEI0QTuUEiggExhE3vUKpKPyEGSilfBuVDbVTabRfiQVzzhaYqQdrgivK0rn5zN6kzTq0OKhlDEHoKYC1UgqbwtZ12mynAZ5G6KeUxPv3iyGBAiNkw5AIgSzhGNiavTQW1inirvaqRqVt0GvbVUU9wGxmNun5vvuGJmVSvGx73HS4uxxjFiw+rZSlHZFaihouNnZx0xqjQYx3kwRpErV+Hy20p7Q25/7BYPKIqGCzxqPpcId1pVpp5JVCacdWZR2lSDAM0sjSYc1YruyY2hu8aNxDYfBCMFuXLX09c8hkSGMTUMliaqe0WxRJBnMDyfpvisrRaqsArFJmyzgCCpWEc6pVsMJqANaHqy+godPVvBft9g6wOTCBIKNlvt1sS1HkgG5E1wkM4A0/QcP07OUUMQ/os3A7aBd3Dz5CSjXtM9lgmOD+fuOEUhyFLsi+Oqcf/tgobcroxEA7ipu7B2v77ms1fd9WbfeP+9IBQefXOhmBMxSCJYJ57oQHzgftK4EK4zgG51+bYAOj49HeQQz3z4MSNLIEPiPLeOP+aAG7rO154Fhx1nCyOuY2Om4ANXpdeL5DB9E/NMfeVp++CxRvB0Q6ygbsuXL7wUxW2Kmt2zW37f6r7XOw77TPYTa9BhDdNsfN2W20QOcoB9euuS90KpR9rrR54s4lAvAbCDBVYesoFQRvtGn1o2STqFz/7XBniJVBJ44cfdrMOeQNwEl/aufd3ndm6ISDLACYCIGnzydv3XjB9s35EsF3hGPYAYkGyi8qUzqhAaQRxyA1pRdo+U66fkrDlmWZ0rBIcAxTASG4EUy0uiWmjWCMcSYQx2KLqXCutOcmo6mzfCf8G9xv0vq24WtOFT0M2DZBpvlx86f+tGbEDHDrJd2XWtvkAnPfwRhsZDXocxvcr/5+piRS8PttoBz+Pg3n3Xq2149zl7wRDP/9v333oPP/aPruv/3bv+Hv//7v8Ytf/AJ/8Rd/8divO1sjesJ8VUIqjUEi8NVNBiE47tcVfvn1EkpppCeg50pVb9NS2EFOg3+Yphjafk2nsEqqGvW2qWjraHCCA8IP2NCx9eImlooKs41xqM02FOVOY4HJ8HRiQ0qZ/Xf02rB9ihUYMdFZ77SSo2OynAxJHHm10kQYeq0VbgDMuK4CStRiUx0EOJOIu4CBAwsRd85gmxHApXoppzra8rhZX+TEXZifJGrnSmswSzneiobTFBQ4o+6vbkTE4CdMyqBT+5EkEhhmAmWl8P993nRet3Dy8i/a/yiqWHP2YCOVzEUsa86TosihrjkF4W+EC14o1kGLZCQ4eNTyXo2m2P5el0mlsdwYGfz7TYVN4YM7DrzYiPVqU6FJrN57L1lwBZjrS0wGU1Ne1MZybPv4TkemFVWWdAd+QmZECEKL0tBvqe0HAXhpWy1Iy4yQ2ghxuLpZ+x9nHEnM3DGEyt+D1M8HtNApDRRlhbKiOnLpxmFbLV4YXIFzMJoBCOXnBW0AsrYR8raB0+Zwhg6Wex5iMe2BNS3QWZpDKVUT3DClCNxlryLOEAnf/zSOhI9kc14D7NoG+CjYsMor5IV0GbOwdRbVzfqsdwMgKT+37/pbUIBy3wAAIABJREFUz2r5E9NkuTunTlqA7MSrVAAATIY2iQxN3gQCWRDIrIvwhABOu/cCp4sZB5D2y8z5NEfKmpN16IqzE+y2PvdZh+0s5P/f3rvGSnbd9YK/tXfVOXX6dLptD86duYnGlzgm4SogGRQzGCkjk/AIw+UDUlAGDQ8JoVhIECFLwbIFEUjBFsIKSZQIIkBEoEkQGSmazgeCNBfNF8goRI6iOLm6sZFiAiLxI267z6Oq9l5rPqz/a629q06d7nZXP/4/q3323rUf6/l/r//iZEA8LhIZc3t0Me8fvRS+wjXI75lNaTxYgxOFKbPxovBYslddvO5JxsX4OtqV6poIv7WQzAqUirb5Yu4KmvcxokNAViWDCuNMtw09t21uaXatoOdjHpNJ2r8NATs7DVrK1M9r26cNcPY1M1w6mJNyS4mpYBQHUiJ4rJfbLakiwXkBSoORGlw0RLpUMNZBFGChMcEcW5KkCoUlNplWphFFf0wOSCLPpEQJ6SY5QdnBcQdWYnWjt/yCPll5J9OoSdNg2XV45WiJFIHQADtt3v5q0UUsDxa4eDBUmGHmSn1ee35r49FJnt9Vyu6myq98CwFoh2HOVwN2fS8rq11MebuiOlljqnJYJA1zHii7xthe0GkV1qCqJwrF07Cuol9U0dW1uomiV6I8mETuounI1CDzvlPI91eklC4WCzz66KN45JFHcP78+VM9G0Je23Y9I6WElw+WeP7iMV45XKAJAf/hu/Zx7swUR4uI77wyx+JoibZt8B/vPIvbz+3izO7k1JaeSELrK4dLXDpa4miehfu2Cbjt3Ayv2Zvi7NUK/V1qJtijeYcjsy1MSikrnzstdncnwsi63goFUAssCQU98mSStRQkCLHQu0t/d6aXt66VPZ2Hx0scHnc4mHc4OFri8Dh7aBa0bYplyE3IzH/SNjgzy+tr93ZzaMn+3gSznUlec9QAKYW8hs3sszbvelyaR/SxK8oSQhamd2dTnJ3oXmvFvxEPJwsE7O2ySufSZMbtTOKmIlQyqqIlQhAJbjlxQbYEN2iEGPVi6bXaXcip2Vly4J+ZAUlqeH5EVdGBEhmyseboOIeQZ0/fFG0baH1kbz7AAooqjpG4ekz6zlEGnlgw4z6wa9fKxCn5t8YwOKMYBCP0tvUzoWCCg0x2lRdUmVsWBiJ7pfqEZdfh0lGXw5fm2TvPhgte+7wn2yW0w/FjtlLgUPjxZkmiiFwiIxZvCQMAk0mD8+dmkmV7b8VWTzzHj+adeD2P5j2O553xvGuyIx7DC/L2RjPemPkF5LaeTPLa75xkrcX+7hQz2gKI5wh/n0OYLy0SbPgpqC8nkwb7uw3Om3nGCj0LlH2ieUxREHlv1Ch9IwzTKI4AG6mY7arXEwnoSWGNKQsJXd9TuGQeyTFBtpmx1mtpCHpPQk7kllhLBoCTd4dRKzRN49qbr4p4vRckjZ+mQY+AeQSWXVLPI/2bBpM1lRVfK7xhRWQENWBCQN/3OJpHzJdLikrJBs6uj2gmwDQBkyYnxpq2vBwh9x/LTDYTNhszbGKfMbDwzwpCsUbXCLqWsugaMO6YUBzre5RmRei4rkvDIe9gBQYgQyxTOlUSaw9LnfG5yGbbBjRtS0aKIP0CBMQALFPOYLpsknqBrfd/DU2zSrFd0Rlk/Vw+rr0ltZFiuO6P50Ma3HcSWOheUqKwvtc13rUXuWnyGnfe65hpuqxrhyrFCTnM+OWDBWKkmjZ5rMvyBJSK0yaooxk00ipRArbSiFK2TWnkkaUPPO5SOZbj6LeM94t7aUS5p6Ncrqjr39nDHpGwWCaEEO0D5H2D0H4e5m0bEFLCYgnMKXvAhAykbQBSE7DoEgLI8C3tG8Cx0atauJQxKDJC6lErsHTCso8d20Izy6gb28+a+d3IEZbvjxiiazmAnTGsTBfGqGYYqXAtIR5aMQwO5xVvY2Qz3fc9G3xMQkGe3+a4L4wzhopYRTexEWzzcl+RUvrRj34Ud911F975znee+tmUcE2SrVwOxvYWPbc3RdMAL108xr99+xI4PPcOE567PF7i4gZ70LEweUDrQusN7mVdqCihCfOjBeZHm9chkgLK4XXs5ZAwMZQLo5nwBXmew+UAJhGRRhZPsmIfy712dbKhLidtWeUz4/CbI9qrkxM2sadzsdQ1XEyQdR1UthjPZi1m0wn2dhqcmbXYmUyEuCVAJuZi0eHwaClr6CxY4WRhabdtMNkZrue0dcuegB7HiyUu8eSvkqPwt+2aPPFqwhBQ0w+2bKzSpYGlOp+U1kP2WDeYTXSbBut9OLM/w8svHxUCElvbODOfJUQSDpXUOs0W/ZhyGOFk0uSMyN1C6sGFZ4Mu11MYDDMf/k2OS8uotZ6KfGlk/syXI1I0F+nmvhC5gCX6SkU3QldgizUn8Eia3VUECxT9OEgWEzXkN48nVRBmtAaybYBJAFokpL7HMvbolgFz6cO6/rmcfcrhVotlTxvW96LQT9q8v9vezgR7OxPMdsr9ZOOyw8Eybx+TvZ9laP6SaENn6rGsPPVWyOQZwMx+0jaYES2YUQbenIU3K3q8PjAblpRG8jy282421Yy5OYQ998Ey5qUMy0WHo8OswHIZoxnDLIiwISSgXCsTQBldQ0BoszLBAhgbjxYjQvSkbbC322DaTjTE3ijHJ61zjzHiNef38OKLh7J9g13rlMz84iyWy2XEcZdEwe7YgEh1mk4CmqaVMZPoO0fziMNjFZJZdi3+QhWiQpDFcI5aPmAFbKtY8S0ccTBpQFEhlCgJQOzzvqZ9F7Csxzif07jIoboNwD6bNOyTQX1ISJX5SwMgpVBsN2MTTZVehXHlKZjn+HssjAEBKfWkeMLQShXeihYOGm67Uwiv+TfrbQeFvHeUyAxBvaKqgChRNN00aKhk7gQbGUf6uqDV9XnBa4Z0yv6dkHzREC0OMBFHJBgvSUjmvzJWkb1wOzsl/+I5DO6PQukDUt9jETkySr1NfYyYTFoslybzddCmqq+1bABosscsIO9pzLyJx6RVkBrD7AIAtAkIjfSQ7X+ZMGb+DZVbK9Rb+Sc/EJPuvWvnocgXxhiS2zq/lI3msu6aPcXE/3TdOpes3A5l0Zl2o4PsuOjlOs8jSw55vCW6HsgYlEJAY41G5ijPCcPS6aW27bM8qN8o/mIEgXtI54BVXvUeKYV0VC2L1M+OvYvH0mim7pP+XgXPb1V1TABMWtDalMvP4rhqfW+5Q0Gee6fBFa0p/dEf/VE899xzmEyybrtcLtH3PWazGZ588sm1z16Pa0qPFz2+c2mBVw6XiClhjxTDZZ9wcNxJeO65M9NTheemlEPqeF3oESUnCiFnZpX9Qi9zg/s+Jonx59A9u71CSuWCfe7xEHifKOMZgE5yHuRXmmyIQ8zYa8Rb1hyzcE2eTkuUWVjVLRsCZtMc3jfbyes5mVGmlPLaO+OFrNcCWoVz1fpNFuJZMK2VyuI4qvJpLZ+FgMb1BzMVIfEiIORyWrIHQ5TUCtc2JmxLMmFq3YDym+K96svtNIDVa0r5XdYyWFvYF8serxwtsewSpm2D82enOLNbrplWwpyZXmkR1rKtCjNjzxYrx2Pr61JxDvFG6H1jmTSH4zIm8z5oH3GiDi530b4BIA6elVbq05wNz24c3+Kk6SF8n76vAu9wDLKeFGDXI5fZla13OCaTNMaM2ZhyZENH0QXlWrVEAg+KcRwCh7vnEOCdtsWEEgy1TbmZOpejVjYnTTnvZBsbaLKnhdkTlT2nyy4WZSTZXIS7BF02UFuureApDJRojUVj5heHRTNd4P2ALyfKo8aqzNeWRh4vdD9jHnuTtsHejkafrAu75vfJHCmMKWRkoXvUM6lKPQsS3B8cPcIRHeJBxDByoA0cfcLlAAZKsbkuvVP+KRBYiCyE0/LcKlXrlKxaAWYlw96r2kL5NyHvtWozSbOxxXoNWDFhrzNnysz8rNGGsIJvwX9rWqC0KWghYbf9kVIGLbW+UA+4X9iwZO8L5a0g/b6gsZbXmN4rkAClJ2R8kTB+I3wElJ7hJkCWIjS5s4ySUxYsJpu8BnIei29ZFTd7xsay19tGWCcMq8edFJqq9lYx0mMzxup7AAz3syajGc8pG5XD98s3KIkOzbmQoNuChXzfcR9x8dIC80WPnWmL82cm2N+bAtDsqyDa0PURl457XCKjPZAVWF6qFWNSOknJG9X4orRDvGpQhRlgXlvRJjaR2D6wNGMDWHlW+kL+Z+dFafCxs8iSUm5bvmvwXvlWZdSxN5jyqNfW0CFzQ7DloSFW9LN4i0cM9+b8Wii/Ov+S4RWpOC+8qdL/wL3f+x9O6ElqhytRSv/1X/8VXafhjX/xF3+Br3zlK/jDP/xD3HXXXWufvV6U0pjy3qIvHeRQu6bJHtAmBBwtesmee+7MFOf2dzDbcH/PBScnOs6KKE/ynWmLM7st9ncneVH5KZITcZjbfNnLPpjHtIE9C7HCjINO1iZAmCZ7Cpgo2AQdV5JsaNnZsOAeh4tOPLSLLof/JRZ2SYDnDJ+TJivnu5MWu7stZpO8jkr6CBBBoE6QBEAUzrHMtBPaCqIJmY3UwkR9bNdq1mFklm2zcFdPHhEerNBEZdTQDk02MqX6c2hWJjKhoNKspNQKxCrY7GnFP1Jebju/h4NLxyYEpQ7tGvb34bzD8xfnOJx32Jk0+B/O7eLcmelGc+FKYBlYobwaBVevaTtp8otYWORlTS5Z0FM01uZkhF62kBODigl5vUfifWBzvdkrPWkCmraR/i40IXNYMhW+kcN/o4xFWxbeCiZnnFUPqDUycYIP9naygUbHSx6bdUKZqoj6zVCuEefMrBqapII2jy1eg81eIMscAQ3PYwVbjTyxDANMed0ppI0g285MGkp/39TMnZWGIX0AMOrZnJ7Cy3layHytoibO7O/i4GBOUQWq9PE6XYTc5rOpZvPe22nJI3r1s1dbnmLXDtt1yCHoVl28t/GuWZ/K75H5aP6OrV0du2/V/ZEjN4gWa7ZM9RiLsjsi5CY60RFRCnKQY1U0CqUq6XjlLJ751iTj0NLYCYWQts04HS3bXpVPLpQNp82XyZs1piQnfQ/Xtqy38g4rIHPdqaUQEmfAx+BroQnF/o/cagnULj3P5d5E0ZASAoDShqqhiMYTgkmelVTITVUdpG6JI4WquW37zgjPrOQG0zd7swnm856/ahQy+kQuVqFs268l8z9TLGk3UeDtbyjv54NVCtnloFbA+J1Lw0c4UzkbLIWGAsZomeeaNc4Dme4yPeL1/mWIKynVIVThrZXyBJSyTQiZ/wYgL6HKvLjv8/KiVHjfgD7lqIHYR8qya+cojJFN+YjInHRN257byfbNekV4ZOgVJ/Y8Ub2RVCkePGeeUWWXZ1ky91jl1Si/qVLEg5E5K4U130u0JY2Ux76bvlVUtxjbSeQAvlcUbxj5Qehj5r/XJNHR6173uuL83LlzmM1mJyqk1wN4b9GLB9kqxEmE+gRcOsrZc/dnE9x5foaze5MTreRdX27TwkmA8prGCfZ3s4BxGu/qoouo9//kFPk9EwxStvJxIKZQWn56GE9CU6452jTZUNfnLVOOaE/UHF7b4XhpQuiSEtsAkw2wCTizMxEv62zaStIOJhYsuMWYcLhIwEJDhdljMdtpcdYIl5xZFICGHpLwx9vmcJgpKyXF2g6ysgLKvG3oTNEfUCEjgJR5Y8XkpCVjWTdrYpUA8a6yUA6MWHBNv7UcUjwdUTZJAeD1dfVYTYaA9ymva5y31boxo+RYHC96PHfxGAfHHSZtg//x9j2c33/1lVGGJa5sHInR7NtqBP5iT74Ri/h00mCvzk7L24pQ3wUSLo6XEQfHS4ls4HXVUxLOM4NuhcduIoRziC9n3s2eQE1KA+R5mz2ftD0HMRoek8fLHt1xovUerMga62RS4egkYYfHcQgQRXI6aTAhg8nQsKEJWlh0ExZK3152PY5jorJp4iNOwc9GBA4Hs9Zi600Iocx8KcIcDNMN3GY89yi5SWWgmk7Kstu5yVbeOjOkVaZLL9bqKAqmP7y/KnulrWGrbY9weLzUdV0os/VOaJ0TK6svH5ahzo2Zq2NlHrNws3KRYpJyLbuIZUyifAYqy3Sasy/fdnaK3UmD2c4EO9PV65pt2bKR4NWnCyxcrpxnq5RfY9TKYzVS8izOlK7rhRMrHwlCW9vppPDqcUI/K7Al0lK6WCoLjVE6h2OelCruhUJgHIit+TtGcYUpwyofA/PlUpFNWRlA6V3kvwOh39AY8XoV6r6OAxZS2ePUx6z8dkTLaqUvUFlYiuc515BxsDH0MDRA27TZIMWGMiT5pmrVgcqYlR02hPPa75SoY0QZIUWsaNiyDblTSb1R/arU9EsFNzC9C+YdbCzg58aSFEnLkIKT9Hmho2UZeXkG7/+8N828TUwNJKP1MaJb6HrBPCzzPUvyM8m2IDHhUpe3f+FvF5YN87cYpUHbhemRHSeqQFELFucl7y9oHRtJhfaNePSCfse+EzBFZjpBxzFq3oQ+qcGlZy88e/1JbsxJsiqjGtMYkQf0i/X8LJRjc7FUlItfTeOOIK05XTGma6jxCkWj2a62yjHPN+HbIA8+uXfZM30ag+oVZ9+9kZBSXrf4nYMFLh11SCmJd3DR9Tic5+0R7rxthvNnpmu9mH3MoVa8TQunwW6bgDO7E9x+dkcy5J4kwPP2K9b7OV/0xfquhno9r+EDgCDrAOQ9SDlEjhIAsPJpvZ+rytPHHLqR69Th8DhnsJ2TJ1aVziTiqBVY92dTymKbQ/vaNiecyRbVMgxzTgp7E5IIYnu7rSgGrfEoMnO0Hs3jRTLrycyaoGr/RFb+VHCwWxsobKhqaJoiBHDShiLzJUOYqhEG+LvLbjj7OTxH/lH4M++7yGFLtbJpw4mFYIqCmdvheFmGShRrHNPQqzq7OF8bvhtCfs/hcYc5RQqcnU0w3Ql45WiJg+NurTBcX1cL+fpn8jgsFcvC27nhliiznaHX3Ia41mAD0MuHSwmx5zCvnWmL21+zK9lhTxvZwOH0nA06Jpqjuy3O7U9p+5c2RybQvnCsdB/Oe/qnSb2WXcLSCIvM+OoWscJBCJBQ3xxqa7YcCqDwIF6rloyAq1Z0BF43Vxp0NEwnFV4DWxJhWNTPKSVVDIMqtirIANYr0yCgmQBt4DkD2bNU9l0VARQAeOwAQG8N82v6yibW4fm8WuHhZ1g4LARK+ssRCOxFaJu8ofzZXd5PNfc7j0srwBRGDqBQqJIpb1Eusx5c973NyievCWawN4m9xJxIJxJfO5pzm62er6NzHhAPzGmV6NpgsAr8e8uNvbJPNYv5ootY0jznbcCsgDibttg50wrPtAmjmA9dLe/v+P0mI/IIfVtXx0I5MQKt8D2ak9GMV6YbsndjTPJ9a9ziF3Ff8Z6wwp9IOQAwfIehD3ZsM4VQxVWPrTJhe1fKjIRIxgOuICtctZLB9zN9bJslOGEgv9yGbrOSG+i/pgnFXK7Hecuh2GwoIE2HPWTSEwkDI0JWSBtDuzUrMYe9Juq8JP1qZRl9D//ldboh6P7mALKCSqp5iiErpDGB7SO8FjYFysRLvEIUbR1aRZ9QNUXBC0jkUdfysVISq2cTEnhL6hSZ3lM/m8ErU9zsyTSY8UZjsl5FkSu0i/R9JAkWvwXLg4znD9QeE633uAHBtpXOA84OL7Ta8pdo7kvl2mErx+o8ptYrJjmNPQk5ztdH28l2DgzdIDSmLfnGxkzMBDLocJmQjU281Ckk5rPqFEgpITSbryu9KvuUXg6uZfhujHlv0e/Q3qIp5Wxh3OmbhOfGlHBMayEPKAlPFq4CZhSOe2Y2OTG8NytVZo8/+tt1sbDaM1FiC5nMgKRCJlvY7TrPVcmGJIPtfIkDUjg5Q+KiUu6YYdjwvWmbQ92m04Bp20p4UgJGw1g55JC9Fm2jMe9CmBKnGVcFZMn7hlqrrFFqhdEAlSROzCnkScMKHSuYgFpKGwozDEDePNq+xQidqzBQMNtx7yV7OLMxNpevVirLc+g6HLFQrw/V5fKw5b7c9Lg853vOndvDxZePBgJTSjns/KWDBQ5J8Twzm2J/ty3axhJL++y6dpP7jXJdEmV9j4wRIv6stHN7cshzS14wVjhPI/TacHMbXm+3J7ncyAb+N6fMtACFZO60xbpAhLwFzKWjZTYIUdIzMQRVVljug9znxCCI+fJ6zdnOBPuzTI9ec2aKs3s58RFnqFWBbSgos5Vd13aSR23ZY9EDy64vBU1UQlYxKAG2mFnqUJQ/qQDKijELExwe1AZ7s/nLVEqEWAzO+VtC15IRbuXYKmzaznVuGqlWJUTbuTfmqbQZGpsQ1q7n1m9soAhSG/fGWGfD1Jn0Z9odMDU8Ykpr0rnNuCOkTWJSwfiUCpa9frlY6fGt6p+T9KlXj/9JsjnasogFyLYJRZSQNQhN2s2W5VxNjBobE+cqGOYDKBKImL88pkUxy4ciCKuiU851NmYordWkeZqZVMd7pvfJCNr5Q1aBZE9WuW9qfs+UMkHLWvOG/Zv5TcIXYkKXEmUO5RwDNhoqqnBPigXzIlb/lIeo0Ws6bTFfdFVYZ00b9H1WqdU+o8aVGmvbwV4N9tyWh64Ek9DL0jwa00w7gCCyVgiJvMaiemUj0jIvmQohYbaTw/056i0g04icb6THoutZ1QMb6Dkx2TSnIpY2iamkoTxmizFsmiOZi0OJUNsiQXmFrMyt2pC9yFVL63uMwlhmBqvulfdqzMHgZaZO/F6t15CH8XziGgd7fyiTUea6afmCfWBA49SAyxmBA8wcNL/L+wL3idlqCWaux7R22yOV44yB28h38m4jOwRujwQJ+9fWqPrRtO8v/W/fi01wUyuli2WPlw6WuHiwwLJn71weNE2Tw3PP0xYhYyGP82XEAa0LPaK9BUMIup/lbkkA6ueXXRSlUwXVXhgn92dMHIabLzSUKMIS9x32pqxINqRKZ0feFU2YsVj2sk6yUDoDdFsAk/RnSqm9A4XX1rzaJgWRBfnmJi5PF3ndVJJkJaKIRGXIag3SyaUezUyMs4JVrrvk8kuCEw4byD1gmLMmD6oxuvZyRKm06yJ4wr9aSuWYQtlyXxFVUkKuBGOlwledz/amOD5aFoQuppzM63DeIwRgfzbBa/amZDG1zNN6voKQ7JhUiOKNzLMQoYlBRGAy4L5rW02SUmYTzhUdE3qZsG6CGNm7ToI79QkLqiKcNqpIrFJwQUR+2ZdJYHLykFyHKc2ltsn0pos5odcRRUPkZD69rJWzITsFU6NB19C320nATpsV57N7OcnU/ixn7D5pyyVuO7v10bLP9CEbyWhrJRYGk1qqrYcAgAiX9DNY/G+QxDuYUjL7bubwu0nTEF1TwxAzu00Vny7S1klREzjJulRa2pDDhY03Gcp0pT24jbmOIiBpOC/vC1quobLrsHVsWKWYhb3CGxQCzpyZ4vi4o74NpUBEHS6KFItvaRgyvKQU/0zfAgy/MJEBm+QD0LG2RhmG9YCuv5c/aeSV4bGpuygAaxRdXie9NBET3B42ZD1g9Zr6dctTQhiZ76bOtu5MA+r9NWslxtKnVfTrJMh+tk3JryVSgK4Bqtha5dxGlvC3y0zUyuCzksz7Vw4V3DEjSzMyFphe85rTHPGlWXBt39o1gGPNwbyH16bxsoaJ+ctGYRttNGbYOHduhkuX5ioLpETGvdyfVubgiWVpk03eFJETK0ZoNEltaGbln+UCfo8aEsqxUo4da2zQe3SUK18HdAmDJf8y3ijUVJSzoLSCeZ4YdcV4rVsMka6ax33TINB+s0yvWDsJEhOt4ykhK0ZJlF07JzCa2b6Y+0jDscj9Qh0ka5EB9UrauWnkjiSaFJ0VY1wPjGPWtHh5zCo2y2OBZTO6iceuKMZ8Hyuz3KaG97CTROks/Ub3NSFHnTUtz+Pst1SapTIUwMtzOGs0rYNnWocs4wcj5AdTb5TsSfvFGLR6octRtzjsq7wd9JJ3/9j3YBPcdEppIuH6O5cWOYtY1A5um5wt8vx+zp5rQ/FYiTwghe6Q9l4Eckjvmd1WFNGa0ceY14nNSenkDLPLjpXBPBlYNwkwgzTkMCROfJPXq00GyYYC8jeOjjsp49GCvtn16Lra01kqO7rekYlQFrhsVl5AiZUVvrjQgZiNeDVNOKUyxNIzUUgjuaUBqMcyf7ORb7RBvQ6spGQBV4kQr+WUSU8YKJNcFyYWUCGfBVFmjJq+ehj6OhYuanGSUlkrc/KcGXu8bUZKNgvmuGK5CbhMKkTo+dn9XVw6mGcBv4+4dJRDtlMCZrQlERtJakHHrjOqvWbaxUmNBtW3izKxcFC0zVDpDVX/yXVYZluij7QlEm0p1PVRiPrUhOi1OhmFeFrlJYGS1fSaGZb3viyUHJVjhMFqxmXD/DAyJWy/gQwoIjS0QgNm02yImkx4CxDqZ3owkEITe1LMxGMUsYwRyyVt0G36zn5Xxyb3Hb8zN0oKpSDKXmyO2GCh0QqJq7xPA4s7tVln558dd70aEzgzc2HR546DChS8vlEUezMvZRwJ06d7eCxA+82GJYIFKP5coZSIWDMu6CC3T08vYg8etz/fyl6t2oMjYavWkMNtXtHEev7kayp8s8CThdRMk8d7ygh0hYCSBtdWdPWJsIqsRMaksv9TTIWgxxE4dk/fvB7aeIB5opm/KSXdc5aSq7CyxH+j8c4Nkx2lgr+to8YhgJKlYXS8KT3UJStZ0FTlq1zHbbNp61xgPpwSe/g1e305DtTrZttePJcsG6zImM3fL7MOp+IaJ/ZaZ4wtlNqBkhuKjLTs5VwVEr3OkFXT393dCeZzNghB5t+6YbsuXJ3nVn2Plb3GjB2WEwQzQEUtNs3GdYym318+6vDy4QIxJtkDOoQgdPK4i3mP6WKpS65lVuRzG6uCV/I963FjGL1ldJy1dopEAAAgAElEQVTLsaG5AZAtBxE4TBhq5JG2yku98j2QcqakcnJBY4UmsgIKmGS5Ulbl4fkBIQtBmD49wr5bfkC1Stlzk+ShkNTPW/D2pDRUuQB/PxQKMtOhuh76m233ZOhX9SM3tK0vl1meMRWoeY3pJ1GMjT7AcoV8P+lDkQaL6DRmPthcMpMJb/PW4r7v+4/YBDeNUtrHhIsHC7x0aYHDeZeV0YDs+WsbnDszxfn9Heya8Nquj+IdOpx3WHbDEL792aRQXrs+SugtK59HCw6/HW7dkKBEy4bc7u20xVoyjhLMCVY62atzTvsRckirta4xQWTlh5lISwLipG2FMaWUBsoAjWcgqRDAa/fqMCH26OQPF6Me4hWwgjIP8iYTHFZQrGABeo6FcBWoSks3PysTiAkddILx5L4SpdJ6Xes03FZgl+Ok9c8McywsdXNFkhmyekUr5dswUCbWYum2xC4EWZc0VqbZbIrDw0UO5Z7nrJ87tAY5P2Otvsq0pKGlP4ziWTBuCJErBdqh5RIVU+RPrLs+9p7ISpjpe26n2rMw4K5JrdIsgNpEVEXoSrD1KQl8LaRaebiGsMVgvKAmuVARXslCgh4KU8trcjTJmN1HcezDJWPWcymTzFuyyBL90BBwNmgFtCxIGEZWKEJgph1M2J/Oi56yGUt2YBH0jVeT35swCPEN0FD8NvDfyghiylzM3bF2AQZjY/R2ESqGChSPIZl3FR1oJy2Wy04EZ5sAygrYXBRW/ov9EkOQ8SidbAmhKXuiPrQCnpyYAcpbJoBFrqIfifYE0/6mfPy+hjomr80LCEmzvfP7QOOhp7EgbUftZcutytmQDyRAQkgLY0BSWjwcT0PjEEyd+FqRQTSY5Q+SAZqNAszXlHcMlBEY71thwBhXqHQ9cI6kyFFGvXg9E2BosvLBkv4aRcgoe02h7Gqb8uCRNsIK5S9ye0FoE39PhNBqHb9uu6ae+5O2vVsX5VOf92t+t7QbCdjZnUjovOUpbPAxLN6oF3ZiabnH6frQe27HGDCmBKxtikLR5ci9FBN2d1qc25tih+TZnIOgI2dIJB0mR8Dt7bTY35tifzc7JTRkmik084J8nKij7XpgXUYVJYS67ylqpTYkJlDodaroWjkHrepRayH2VNrL8gP6v/KdijfYuQBzzc4HK2c11b66SNkLGdSwhJANeESRDc2g0RA4URaH8JJ8KGMwSbva+T+WSdwa/SIAkOE/IRm6Z75R/V9kBmlfnQdMa2B+W2XgUXqp72PZT2gBj1PtmJJ30793veMebIIbXik9XvR46dICLx0saJ1nHmizaYP9vWkRntvHVGzTUiQnmk3yutDdVtaRLTlV/qLH4SJn1j2mDLisJFrUIUPTSU7gM6M1nk3boO/z3pwH8x7H8x7HlIlzIdsiaOczg+QkGZJgoM37dk4nbUE6eYIlIS5MLDRTp2x3Iun11aMpRpUEIHCKdZrcYCZnGS9dQ8nILWNsmmZ4vRkSFQZPNGE4GyiV3PYDKyagxES/AMtoePSL4JjUM7IJ6pA2nqCAWWsTSgaXT/VcwlBsnYXR6jhjwYDXu1nPuF1Mz7WUvk0JKYRibC0WvQp+HKIM4+nlv4EFmAZty9kPSQCDae9CEDOEyo4T00Zggdb0hoUKCGH0ekxJEoMdUQKglLKRY3cnZ3jemWaBVrdyMZZ88rzlxCexyJ5qBT42mPB4z8JlVv5ir15HK8gNxgg927YB04a9Oy0ZkSBziiEhV8koPJS0prMMg4fR2FAN7PXTVgvmmvVINFBjCJpQeHcA1WGYCTHj1TFY1r9WxqRe8j99n4ZH8hjJwu10MsyyLXubSkhwAO/7aOeeqAEiHPC3S2OGXEu8dk1DDdmTzOtNrbHDem8tI2cBYlVoZg5nbrFYdsXvTBfLpQhU/oF4Ztdj6YG9q/BiGsEp2RuDEcyljbQuInTb9rNtaK4l26igPg9AIpd1iip4xVS8DTo2uW6GJ5Rkc1B/FPUztF54kvVUGr5ltidRj43yLxg6Zopovqdlhb1vQ+RwZN0SKXs91QtqhVjxJrIcQNuI7UzyPsFjifGaQApu0jHNPN9uHWUzr1ohN0/vMe9fycdr460VaJmH59dXgyigHFd0j93ypRb6g+n0AABNk/uP6LMYSLMWQbSbX5A/eObMDo4om3W+kuQoED2z14a0o+TXwFDAr/u5rCO/p7wmQ0pU11JGWXQRR4scnaNJIfP+octO96XvYxI5cGISXdo9pKupKmWUvhK+kgr6UNBPatJahrPXbBI6kf8MH7WKIRtP+F3c96zgA2HgZFCjhNLqIoILmebwuLZjm8fkWL0saUpcjmR7oxRJSiOd0gOrJAMlLbJzWpRjM9caI1shwCjF9E4kkWlLGq3jRp0TUaKmOjPveblLH1ORPyGB+6YK9Q3an2qIDMrPQ9F0xFdVDg0h4Cfv/0/YBDekUppSwitHHb7zyhwXD5dYdBEhALuT7Nnk8Nwm5L1GWRE9Xua1Ek2TrUesiO5MAhZdkrWfHM7IHkoOjdXJp8l/2javSdvbnWCnyVmoln0OHVx0PeYLXb/F+0DZjgogL0TboAXQtii3MSCB0YaxxJQFYsvESqshhPAXDCFgNJyIvQs86MUTQsSerfNNCGhaDhc0ob1Qcsp/VNkrrf/DvgQ4cIW9WELcgiXSECGAQyWysgVKtDSyh1k1ZphAsXXYrqmR7xkJ3G53wX3G2eISgNhHRGSBFkmZMCdNiQmDzGs2KRRnLAPfF6BMK9F5hKmzoQUjfN6e84myUrqJ1n40AK3zU8KpVkUaCzSGrFJdCGCh9IqKhwTQMQYVCPlZ+Z41WDRDRmWV2YS8hmfRaYIwbkubaZfDfphxhQDZ39DuS8v/GBxpIKGAtD5n0YESRFAYbBfFEmzbnmlC22gI9P5u3qj87CwnNuK9d3mpAK/nXHQ5WcV83mG+TFh0fRFOXiYSS9zgGrbL/SKZI0mYJWODXWPVhqD9yYIYjbkiOiJlps7W8Xpt1JjwUpSQP5GHHIIZo9yv4LFh7pFhaiXX4tgqASoEcLsOYZ4VzqnKKZAFshCSCB/FW0Ko82jkbyY7xoOJ9FgldGTBa2+2g77L2ytxRAsLz1aoF3pD9N2OuSLMnOphowpWXSvm7hqoIkE0tnqPCLLFVkT2uB4T1KOWvrAisKJkxdYpplcy7TPCXgJSSOWzNKBEqBThtqSdYwjyPxWwK9ZmyqJ8I5tGkipnYCFZ987ldqrHqfDWYAzbHA4vtJjqYxUdKH/h966y3/K4LNbbsgBsBE6NzglcIyk7AIlokKQpyfzO44Z5VyoNdeUMNvxMz5CSWS5gm9sOEXNeh5EXSrDcm2+etA26Ppb9OMKXCmNDRZdkTDLPI8LGMlEAVF4LQpkBGP/kYDxplfgvG8QO5nkZWdMEzCYt2jah63O+lDkpomxEaAJH42nujVr+KtqUS2EKYnluIELHa+NhFBW+tynaw8gOIrlViadM24mMUaGSMgpjyMAhYq7LNdPGWhY7iMr1wxp1xHKa8jWdxyxX5KikXgzSI7QvlhFLpXfYjtmSq4+SwnpgmDZSORnyLbBMCY3gY6GR+RXzJ0lG1rCxa5gwckivy6LxQckv9HddhpLwth/8n4edPYIbSint+oiXLi3w/MtzHNCaz+mkkYRF585MkRJwtOhxMO9wPO9JmSQldLfF7k5ejzVf9Dig7Vx4X9Ecgms+GMym62ShzIb5kBMvxLzId0EJVHqzbQq/wIYINCHJ+p9Jy0J5IMVK17FYD2axPo3eqq9nZU4HjViiiDDx2k0Jx6OBldO5lyGigDJ7K7TxfJDfeNJCJ5yNRVcFJBVCnSiTMIPYKk38bgyZTaAC2Eliy5eIEzIRAQtyRGREuOJzkMBPEzdx2Ilp9zR4Px+bz2dJoSjLSqSCR46i+EmEspJhlsKwMgMVPCBKkl2nw8aGs/s76Gh7kmJDehE0UPy1DJ97rhB+zXNc0ZTKttCeTlSLtLKt6nFfC3NaX/YKYCBEsHe5rwsCVRB0rzNmONXaMaqfrQT3BQt4vJZtaqzSHC5pLbe8ufxSEvIkk+GUmbft+pqRWw8FC68aild72nSuat/W7SmGLRKArOFGGJq0GYr5F0hYkdBZKk+RqIrLBZ6zVmAsGRg3dU6Kkf8OGb5Zw0zX2ZOcYMIak/7VLlTRV36ywmHB9KukICEU/VFEACCIYUe8AYAx9pT9uDuboFv0ZQKbRsdT4DWiRRsyr8iJ3HIZOKnbKmEg9z17dLOxIWd1jTEOt4+icWrbWpNe6X1KJ4a0TrweIZTjQNqs9qrYdoRORCtQ2W5ZBZU17R9DD2zGzzAYGwmJlqbQXdSWIUAyGcfauIhQhKKr8KXtz/2v9dUyNQFIIaDR7hPjW817LSwNFHpEWlGwyjq9jPcJDSEUxi3msWp6VaGWK8/03gqjNU0adIXpyyDn5Xyp9CAqLysP5r2JHAGZtReGW6Qs+DfaCFnOaIIo7rosJ8tCu7tTzOedzAtuz1IJMfKN6YiV/TJCK62swCudLL+UP7WiyE8nGGXThKzbuUe/WSWDPW7S9tyWQdu06D+U85GvIdj6qKzFhkPmDycKM9DxapprOKjpE/IqocWhuDkgmP1fdT4DkOs1LSi+YV5rRvTJ8pgZy0C9DM20I/E6+bhpc66TNVKw3JKjpU2bJ1ZqiQ6SbNqZaMq+otWAbeva2WKboGzT/BzRBwh1LCQ1c+dw/spSPtNgZnwwnWlCwP/+E29a3dAG1/0+pSklHC16vPjyHM+/ssDxokNDSuZt+1OcmU0RAnA47/HN5w9NcqIGZ/cmmLQBMQKHiw7/9uI8x9z3WZm0XcOJOnJqePo2cscfzaOEvViBTddFQpSASQO0aIEQiSg2JiQ0J/JY9BFpAaTUyXcsJxViAvVEtZRWPQudDREj5IkQdM1XsTZC2hAFF+ABl8McInkKmD2hGMh1X5QcH8IMbLtYgstf48EJsJJIFimoJ4jDLXgwa0hJBO/jllLpYbTtp3O64BD2z8aoCVWoTridcx800mc1owgBxTo3q0CEwF6sUkHKiQgak41Wf5c6moMUWNAKhTdWhEggX0tZEcpjshdhZsocLzSGIcCEc6fC8s0CS6HAgxVB/SaisT6KghZEUbN9qQlEIOUU2g4WMMpOiTGhNz3LzLroJ+lLHd9dJCE09SeOC2biYlwy3i8gUBhxDiG241qVhFJg0SqosiKbwhNTm0yyB5sjMdqmkf2HORkJN4/tA1Y4OCywixpiLHMz6Tzk+uyEBs00j9lJG2hLqZxoLWfjbnVbHpMMpe4PCxu9MVifbo67vszY15txUAiLLIghf5sbwFrNrQAXkKM6VoU3FkokzSEaVGIssGXtoirB5XopDffvI5A6s5+zVfKJSDUHS/S0NrAW0Kxhgg14lhcBlQxAglxJ3lXCMyS6VJCNIFWHZ9JdIlREQJIKafKtvEZwl7dV2Wmxk9O1Q6mv2XfTzmtDLwbX7DmIHwhtUOUP0Hlu+YpcS1oKpZOqmHL9ZI22fA+IqcoOa2lcst9T4S63JUfeqNAqkSdNGHkepGQpkRvzcmpilZKe0OiQqBzwFi0FrRnOz3KsVA/Ic3o9hEBlSMU4kmd5uIlywJmjSYMsPqZ9ooZloxSU8u+An9Z/RQ4qonNUISuUMWQ6m7enaUpaYWhCVnxyK2k/RQCN8jma0Owl5rEq3jT6vVbseMxzG8h8p3r3lESviwk7yHtkt4GWkXU9Yk9OiAmHcDe013Qo3snHauSRIoz2uLSV9H9T/aYeXzukbJtDjpW25Hv4wzJQClnN9nfSQ3uZKyPeeL6DHU72ofq9VikWmaL4vmZgHuVm0oY84ywdonozf5VWSSvLA2g721vt0pcxWmmf4zafTEhGZNkEkIhH/niO3EhyrYi6Il6SeDwDAEV2sKe3yJNAThyJfhB6Nqzj8NJYS4zjulVKY0y4eLjAt186xssHSyz7hN1pg9vP7mJvJ0/E42XEwcVjAGppRgAWXY/nj7q8/6dNiR4jdZpam1nZOV706HnBcbIDjIXSgBy+wAIPqNMbEvoy8UCXkDjmEgkBvcxkHitsSbYKCTOvJuRN4nmCFxZLWyYzg/Kgzp4POxs0tLWeCHolM2Ga9AgFMc1hY0Rg+RvGwmiVAP5bJFqxGLtW/rx2BofhpYKQFtYsw5hsiIdd58qeHmFwABqzd6kQXJg1fwFoIS/WpiTElERQ0L3+hkJ2VhYiyRKmvYpJrszF/qbKTtV+9iLT/1Eqm9eQ9hzGVDCZEcZjbrLMyypXVmlVxmgFsTI5QAjAZMJXkoSI8ghn5Yi3o+GPNty21B5Zoc0V5zVXvEaT92ycL6MkDumjGa/gea19zNEQTOwbSnSQ0/2bLJ0pz/WUNAOv9ErNQaDjUNvOhChDhS/utK7Pg2W+jGVdjbemFsRtf3HfsLBiPcNtCwrb4fBRSlIS8nYz7KHjjNjLPmHZd1JHmfPJjO+oSwdKr1oq2luE+2JsVYpk0PbI28a0EpI2ae1ex6WXTYQTUcZUkCmUGlYwmelHDU08CSEA06ZBM9E+LNeym3VsUhYjkAE4c2YXL186JgVc1/qLRzPpX/YAF4q5OdfhRsRehL6mFE4BWm9Wr/dja30wbMOuhYehowAQiiQ1lh7UNLcU+g0dNh4dNc5xKGkedxxWOqUs0zxG1QMdzJwy61BZeALQd3Z7qmgyxnLWWGpPel48kCTENSHQPsGmbZE9cylwkwWieckYZinyxIybmjTb48LAUN8gwyiPoYafavS2ADKimzkhfWfmVTDXhFoJDTFxK3aMybVQzn+Y+jHtI8E3xdwnCbxMBtI3otzIdcNXBpXWcsQI9MXOkOPygkzjYG/Sa00T0PfmDXYfZZqmRjQavL9WyAqZAxrKG0LZ3nasa5QL0DR5C6+8e0OPvk+UlDOP+yPaRrCPeQ7s7U7wmt2cbXcybZUGcmFDXrvCfc5tmJdfNYZnZI6cIifOSogI0K0+2GhcOhNqhRowBlhzrZYJCxmukgPteAVse5prgeqAXEXQmG+hNFfboaQ5oXo300s+s9Fb3Ok23F/rQW1hfktWKV4DNrizkVh5pA1vJzkmINNIiqi0a8klmqb+pMzJIAqzTZ7HtK5IWmX5ovW4Sp8b3iKSIaiMoRjnANFuout5vXdQmoQ02LFkHa678N1FF/HcS8f49sXjvCEwctrrM7t5A/jI1vWYBYxln9dmdT00q2ExyAgJIkQBpTA3IDawv+kaB1FE7H0hoCFGLqGUUE8YM5q2MZZr88FRK0MCUlIizIQy9pQVDQmpJ0UA2WJn31UrBvweSw3Wdnoav2fdsKonihAWJhWWWcIIKQUTLYUaFTz06w23PlM4AGqR5ayUydShYqCmPQrBrmqgNDjQQ+17jDeSFLGqO51wdazQh2DHB8zYKccNPyvrMYFCiebJXyfs4HUuAVkwPjicIyUlzcyoQERMBOWoVuAyqYAq1DBtCZ4LISCE0v6YCaC+1/ZFQLnY3xI8JZIqPOhfu96jtEbX3cLt2jYNprR2m9duBWBkn1kViixVSaYvxOvGwnIgZSoEtJMGLWgBr0EkBYS3ZymyFjKTSmX7qizHY6rc2oPpTjDEn6/bsB4e5rrpNXtR1Yhg21xYUy0ASkls2ZS2FcIFVBhTgUGjPXK5zbqsUK5VkpDKVAsskDYorgVVdGw2a917T0Ny+cFaebTHtSDCCq6utzXr+U3/qRDPQkHEzs4Ei0Wn87dRRZwFkCDXyzBzXtPfhtLApqXNZVr2ER1nbuXtu5axGE95nAbxxLeUdIuFutgDPchbyR7iBK17nxBTJCU3oFTyeRwPPaM6lqprOtQsxdbxxkqj3BvkhOlCSb1HuJXpXjGOVOOdx2fBZqoxZoX+TAO0zwLUa4Gg4fQwfVYq7dWaPcvDTLvYa6oE5H/WuFIoj4Y2Dr32RWPqt4rm0jLV/Fj4VkmMzcOhkiMsbTHLMWy/1QzWPJ/DEQ1PpbLlPwHs3ONf2XhiR8Fkko2xpQGl7EsA5PBnD5OOpYIG8rgrm1DHNLe3GZtF21MbsLEkIK8bTcjXrJFElRKqeTW0g/zP1reqEx8XCjO1VcV3RS5LKcsNmeFl2UvoshqCQgO5J//GYZ55NPO8Yr7JbSlGXWo4VorY8MyRR5n8FoOhmu8raEqyDxTNUvRZKZuOtZu5ZngtqD0s7U2wUWFpsHyI28IaKYqldYGrGbQtkvKPLPtrAkQO8+XETvwNmV+AGl2TaQ1Tj6CTmeRJw5sA3TuV5po2J89MY8Qw1bXN34SAd739jdgE14WnNKWEl486/PuLR/jOK3MsuuzR3JkEhNBg0UUczo9pw/Rs9Yxm4I0qdhizgQzRqLyR7y8GX34DGWfkmNPnJ5I+UiIBskfVIyVTsecob6vKflqsekIZucAwlJptC7Ez6xTHnpc/RnGoP2uF45WlNhMnF5V7LPda/nxZt1wmTVYgzAlKeJNcL4mLCgZqQeaP87cCQApckDqCiG5ObhKQmiAJkRqY9N9CjLmfK8WKiqpjoiQW0iiBhQjLDFlxRF4H2vdKdMyj+a99byp+A4C2Pc4hhJmeFcSKCRj3P7eBWnhzBlnxZjYhZ+VtNNMpK3cLzixN85YTcLVNwGynzeF/FCLakJm5pzD5ZadbIGQlNiLFgC5q5mvOsmeRvSkUqtXQOs8myJolVq47+sa86zRkpnqXzBEaM5xAoaH+t/vrKuNIWHZMoPuCOSTqCMucdXyqwibbXzSNCCU8PnN27fykpT/CxI3Vk4VTKwBKOcy4yowlFmM1oGyPUF8AjWeSNnjWKkG2hELHlP7SF+3M/7MMUz3shvkHoOGJVBhsoAJX1Y/JHkhfldtAWJODCi1B64kV0KJATDA0yWsregjAMuZ9b4EoQiG43czp8HvllWF4qYYP2idC0DWrVnlqwvCdXMZ1CIMDINNPNQJYupsbJhFtyacsbGZhRj0zWbGPEuLP1v4E7TM+NtRzBT89PRcFv5u7wnyg5iNyzfSXCv6m7ZnfoJzjIlsYJQ8yz1kAhI57nmHkphUFt8m5KtAGTIOYbMUYE6BrKrVs6hm17QqmYan0pPRihCiV3EgvkLLx/2shh9stKW8VA0jFp8vxb9pDemJYXquE9zQX0EPoIt/fLLJTg9tA+k/6q/wuezkBlBlQzbYgaAJaBKQi07MJ3SY6XtQx5SVp82WPaZuNl30fMV/miJzZtMFsJzti8jZtLGOiSOrIvDrByBW2fQDdPoSItLSX/EZtFpKs1eQWF3puu3SEPozR27DifFw51mNpe35xKv8GiIhUloD6lJP/8bltd6FtNK946xvIWFZ5gkNV7bjShGVQ+cOORVNjpaO2blRvbWKV1fhJQ9vkJ8tf7YWiUvRdM2f452nDIevWuEQULGmEGrcrzxle4ihdUMxrbds6W7DQugSEhuUdbIytKqVdH/HvLx7i3148witHHZbLHuyCZqvDlSBVf8cwWMeRVp6su/G6gfDMCk0zvA+Ahg9VKAmSmc3sXQuWOCT5WQZfb0a4+aZN52IHah74HISgRNS+Xt5isy2mfM2GQcmkrd4/VkmVO1b35/XZ04wwPCroVF36gBDKtZQ10baJqtRSmL1pzCC1mVPxiZpAZwFJw+tbEqhijDg4jrh0pEIQK3W52EYAWlPzvFWI7gEcyGybk7YgK55J1/kNmAWtI+cwwQmFzLCniutUMiMNrwRAwjMKgt/SgSQgCjnkv6U9e+1+aLbNiuQzpCx3vF6p8IaU7T/s5bIP7EGmEcnsTakeN+7/emwUgnNxX2bUVuCNKWmCDx4XRDCyUkKTU5QM7fME0FpkI1BaTWHFeBgThE5sj5H7rRyk7VG+B0z7THtqe0AF8GBoILVb2/VIUZ9lgbWh9zQ0bgK3XaLQOhL+o7HCWKF3EloNf200y6oV7qTsyP1kDbeFbTBpSJl40OUe8mKwsEvWet2qShXN0lOn/VvSiCH9CCPHo+A+qPsHELrFCoIo5k3pGZJX1fU3ZdS2KOcbD0sVXsk4He17knnvoPiXjUG7jA3cTZ5BJTMYY5nSM2vIRbFfsHjwQ5BoBw7TtgYlO5c5wy7nIJDoGxp3Pa8ltmMmGkULlm+bv1UFa9ZH9pHxtjnh2eI30zabgN9djjFzzPcht20LYLGMePlwKfQZYYQOGX7GChhsP40oKJm3B6M8QOgPEwim88W8rBpcyFAs66Gf04dFmkgsbyedY7CynlLpMvs6tH+T6erqFgvLV+o6JPMuDjWHoVG57vlDrKwO+smcjMpdUuY0GEspFdU5NQp5zWjoIk2MvDTHVxYFM8f8PuUXkpzQjBOJvqurCCClWPav6fOi0Btga0rpvz33Cj7y11/QC8WEq2qw5rd1GviqeO+BBXvNC1cJJ/WFzd+xusDDn8Lob6dpn+K3wU8j3HzkHeVzl9f+a9tnw/cPm+fVbf+V7bP2HevG1mbvr38rGWB5Y9OURAXACZRu+COvh9I7KmK+5m01aWPVJu8FyG0awPvl2o2fL5sgByaEmQguOmDesagSi3sHTJmYX2Bm1EOSJRUC6ZrvstcUQT3vbdD6Kv+mEN1OBfhkGN4q4TxUjcoGF8uM5BjKTOx6RqsgC7NpiubJyX2SMrMstJG6whIc8ZcEDRPkQkcrWJgBVAhdI4KYvS+Y+hVtXd2YQvnjgBSPnVdcn6tf3HuC8AmMCKip+rvJy/i3ZX1P7es/Pdbx+3r8S1Eq0lPL9NJ0dLGhsSKRFJUkJgJ/1eZWaLbrSa3CyPOGkwWysD3c5iu/3K7nbdsGO5R0aWfaYjahRF2TVnJMaClVoZT9QZMagmT/Q162kEw2bjpOUQVqWzIrs9uQvNwG5aBNCJIhdrBGPqIIly7CwnkdrKHQuk1QVZaRuSb/lzlZPwSlTQGUkXj4slSdXA4dvxyMjtOKLth7RY1rf/cAABYESURBVGHg5g/1eBr/BoAiOmJMgSB1e+S6bWmFCuyrvxuQ+RMbd3IB0uo2rnj2QH4ZIQy1zLGKdmj7hUEbB0CzHgPgKBsb/ZODWTJvzOu2tY75JhNVltQIx3sbM58uthRKqRzvSdt6rFsHqpflRfa+AYlR14kYCav20i+HshxA4bUeVRBDuVRFrlF7SwBWGEjiyEoufS9ClHc1kNFnaeyIYQh2PDRStohyiVVKJt+CkUlqmiKHob5Q3bFmjK3C1pTSf3/uO/iDP/6/tvV5h+OWwiqDR2Fp1cuGeYTifBiSWJ9vel/5XqwsR1nOQblXXL/q9aueu6L6hZO/XzNB9cKtqMeg/uZ7IwU5bbucfC5vLssx8pwt4uX3X3VeyFon3LuqrTat8ynbanyO6LtKb0io7tMxw8e2jUql044dW1b7LX352PHw++bZ4rex/g+D47Hvh7D6+7ZO3DZ2DTArsI2JOAgBokXIJjmcdUaLl6+bsjXqHireb5MpsXc130OhsAB4qTh/R5P65PNa+eF1//wtrjO3q93Oye5V2gB5bXrQbZdkO6E2oAGvCw7yHSBXtufkbH1ElzhhGyXTMuGHfUyIXUIHXvMP9XLHNOot0uORuVT3p6knC+1M4OS3JuhL6ThwFya6s9E3Bu7QYryEMR1gpYYQBjcOwffEqo6FB3zsU/TsWNvxbzyWUd9jroHaQD5tNS173xjqPrMRJ/VjVuFIw3qsuHXNx0eKM6agjd038k4xXJkHA3ScBC6KbaighoCEVIRgt6FBEAOXGsgASEbaegssrkMCG4OSLN3gcci0t0jC1BjjG1ea30PaXjZAZQV/uSQFPI0YRKjePH6yQUAHAkfA8FOSb6NPkiqs8BhjrAeHu4TbfqDa6jX6QWgsUjk2Q8CE9mjfBFtLdPQv37qID/2f/18+qSw+FmXpLu+3je8bNy9u8Jt93+rmPM1vq2491TvWvDCt/Oly23hduTZ8x1Vqf50c69ug/Gld29HfcHntH0Z+W/mtqpxr+3DD9hn9ZsrPSNmY+Ydhv3Joml2HBABsEuRzWeNSF8VYEu0Nq85T2vS+8faQtjjhXL+z4X0nnJ9Yv5XfWVWf8fPq88P3ndjeV6l+G7f36eonz6T199XlKa+VZbnSOg7vu/w6JkOcijrbehXH+k1bnu1wbofj+sdKw8+GGI+XGbnvVHPw1Xinw3H9o20adE99dKN7t+Ypfd2d5/Bb/8cPX5Nv/d+f/+Y1+Y7jxsMoqworfgsr7jd3h+qSrLdb8cFQn639Rm1EHRbUPpswfFcga3+KZmGbeVYzZ5qsbWqkRkL+vYvOPB1XjlAd2A3QeXyxE2XMYjt4VyhFvxBQLEHn+WW9naz4WS/0IBR+xfdSgmT+lMRmVXmt4tm2DWI0266YyhSeAAAIqcp2qN/MRdM1ejlBEGdBpLDUlLf8YsNRnYURyKGr3AY2+7IovVoJukcLoNGdqkCz5R/Vvfz+6hH9DtVnVAFPpRGgNDTUxgOqh/lQcWyNCCvLNixnXTZrMBn/1rpy6vEm7bDO8FEfFzS5+i3IuMzXC6OtLbuxTCZjOIl12aVsQ08SDzKr3LHtk+ulXh0tS+DyGY+MJCWTm0oiEYLWROdzknpwCdq2QddFlHUom2pg8NKqlO1knzVtzGHgth80sZjy7Dp0uug2lHRpUJ4rwCZbmACbeZHNS0efT2PHG7948xJs+s4rrdMVv/fVeCc279PTYPM2XRGdUGF3Z3NV87rIvvtq42f+l9dvuwgDuKJ8fWB0Qq1iBGtn39VgG6d9hzJiizEl2Ar/IcRCiOC/V4vxvZoYq+uAgFp9YqRS9fUbod43K1J1MNZnvTkP1f2jWGHYMc6T4fuM5FQorUEV22EWVVUmy7WRGg7amPMGAbM92hLGvEMTgdC+gSknEkLibYPyfqb1GkdNQMRCcENJaBrJvGrL2Zj9LRvavyxYgxO1Qf6jCY54nWWErrlkeiFJrWybjs3Hqn9zufUYesswwsVx3WIVPR6GWtIhzQv7sP6GaiDpef2MYDDwyhfYNZ5t2yD2qZzbKOdtsNfJGtYEXhdpVpIGLV7fRxwuehzPe8kwvzMJ2NuZYDrJIdc01FFvg1PQn8GhnbdGsbXbDVZ15FD2wjAQEhApGaQ1NlDZc2LRKPOZjSVskJCtWmCuc/MbpX8QbWL66EaRLxynxypeG2gthRxviFtCKb0e4Yqy42qhJva1lXftzTcYRqtzk9XxJKi3YfVvQKkc2Ov1c9ZLwScJ4wJTinTLCkuq9RCww6V4/1hhzH22fAPlZl2FraBXC7b1O2phmMttCwHO+mnqgrz/bJKHqiLYCphKqzIc0L6Stz1K5E6NpsFEaOVzEchN0WyfshDNnxJtmjysth8TyuQtqZcG5sy+tTHOCplFl5ly1WVBKLN22qe5rNwmpaBC5TYvLZSV6o0Do1ItHHOnsgJc3EwRIXBcKVbS4xWNazPsr8WYwopyLNqxxPeUv+t6U9k3t+cIIRr7rLjRBDPBQSuNmlLFaDe2ymgD0ObU65gve8y7AKDXPUah414V+Cy9231I7fpDzrgt34rRzKj10Dms21nYeaJGItrvOFTzLTElrN+XT6xxyq7BtBFXmyikJ/GnK8H1Ms8HfBAjdRu76Sp+ex3qyLdN223svgSUOfzqibIGrpQ6BK4oOxzXJ1ZZI9chVcer7k/2nlrYr0/CKZhVLQSNvljP6/JuFB4+cs9ao8yqa5v8BmB5RSJOXcNX47FBa2/44s0geq85F8E2QLLKlgr0qu+Q10yUZyORpYRIp4WRAZqpEwFIMVVyXCoGOivinO2S39Giei7Ys/pvaVBpao0JZQbLorTUEDkpSjJlMCWuQkb5izZlCRsveJ9inh+sVHEWzUFIsH2xPDM+R66F8L7x6KzLdFmFqx7qorn+6tS2T0DfXfn7T6T3IzeMPhPqY1aMzbjmeWbnjZ0CJnSfNxax3lR5pioLZ9rmfcPbJmDaNvnftMW0BaaTFjvTBtNJi0kAQtNAcpSlIApupG3RctbshI62DUpGAeakPvUyCM11kf9Gyj6VvcJlht/xvBjlzCzaje+Q6JFk5liSMso2SNZQVszLKoPu9aJJbwGulDqua7ii7HBcHZnssvncLcwgbzVYYa5ZIxlbI0cwgtQ6ZWf4OrO5Saqvr8LlD0Zd/ZTsxRW/kXIdil26YbdYYIU3C8F2z0j6f0DeFqOhUOsANKS8ZyWAv5HvbyqXcN46xpQpcSj7MINmMB5qUdphhGcTmx2qJij3+B6xgaxpcicNrw7G2nVUTzr1i+hC/+r3XPaaksOsz3PkCD0QeiAtB6VamSeAj4MqnSnosgP+jZ/grVUkIsMsrZBlFbTOt22AnbbBpM1LHpomZ8ttSTnmbNq8DIPLmrdtKvcVV6WTQ55pv23ez9xWgi5k5TTJ1lApqnLNdFC2waFndK/yUoG2z7BhT6hZKmwMWp7rEK6UOhynhCvKDofjZoQVVOq1vFdqwd+2EGQVaTk+QUAbeuuNgHni164nXH3P3brrY/dY59sY6uthxXXH9Q9RojDSfys69MTImOqF4xGhK796XWMYP7FZDWqlna8lJFGqrVe3MJyZ39S4xsY08P/yGma7fiRpYAnv+53o/pw/M287FaLcfpocT66UOhw3A06jKN922xm89NLhq1iacfw/n/8mDq75Vx0Ox5XixhLxVmPgBXRshCtpq8ttc+8fx62CqzFHaqXeZss++enNUOuWo3krwvr7ToIrpQ6H45rg7dehh7nGf/38N5EAV54dDofjOsdA1h0RiOWnyk1bC/Qniej1e11pdtxKGPPgjnq3R66dQid1pdThcDgYP3oDKM6Ae50dDsf2cBohs37GhnZu/K6w+jQNfy4xcgOvrdtEES2S2myoiZ5Gwa2T5tSIrv06riOwbWddKH6N0wxhV0odDofjBsON4HX+fz//TXRwr7PDcbPhcvSkTdeSbnLTRs8E8zepInoa2AQzVxOnSSblcFwPqIfoqzVkXSl1OBwOx1XH/3oDKM5AVp4v4VRbqTkcjusIowLytZKiHVuB9diN/Xgab/668SNZa09VOsflwpVSh8PhcNyyuJbK85UmGfvqV7+J+Rx4YQ5c+1RlDofDcX1gbZ7dDUKzT/sdx7WBK6UOh8PhcNwA+M//+cbwPo/hv/23b+JgCbx4ABxtuzAOh8PhuO7gSqnD4XA4HI5XFW9+842pUH/969/Ecgm8cAQcLoH5tgvkcDgcNymuWCl99tln8fu///v44he/iL29PfzUT/0UfvM3fxO7u7tXo3wOh8PhcDgcW8E999yYyjQA/Pf/nr3T3zkAjqKvm3Y4HNc3rkgpXSwWePDBB/HGN74Rn/rUp/DCCy/gkUceAQA8/PDDV6WADofD4XA4HI7T4Xu+58ZUqJ9+OnunL86BV46BY/jaPofjVsAVKaVf/vKX8eyzz+Jv/uZvsL+/j7vvvhvvfe978fjjj7tS6nA4HA6Hw+E4Fd74xquvTF9pkrHLwfPPP48YIy4ue7xy0GO+BOYLoI/Asgciea9d4XY4Mq5IKX3DG96Aj3/849jf35drIQQsFosrLpjD4XA4HA6Hw3Ej4ru+67sAAK/dcjmuFp5//nmklPByn3Bw2OFokbBcJiy7rGR3HRCR/zkcl4OQ0mm3E16NGCN+/ud/Hrfddhv++I//eO29KSV0nQ9dh+Nao20b9L3PPYfjWsPnnsOxHfjcc9R4/vnnAQDPHSQcHnZ45WiJ+bLHYtlh2SX0PdD12bPtI+fK8Cv/5Xs3uu+qZt997LHH8LWvfQ2f/vSnT7w3JVzzUAqHw7GdMCaHw+Fzz+HYFnzuOWpMJmcAAP/TeQDnt1uWq4Xnn38exynhpYOI+TLheN6h64FllxXslIDuKu7jerVxVZTSlBI+8IEP4JOf/CQ+9KEP4Z577rkar3U4HA6Hw+FwOBwOxwngkPHX37nlglwmrlgpjTHi0UcfxYULF/DBD34Q73jHO65GuRwOh8PhcDgcDofDcQvgipXSxx9/HBcuXMBHPvIRPPDAA1ejTA6Hw+FwOBwOh8PhuEVwRUrpl770JXziE5/AQw89hLe85S147rnn5Lc777xBfccOh8PhcDgcDofD4bhmuCKl9HOf+xwA4IknnsATTzxR/PbUU09hMrmqeZQcDofD4XA4HA6Hw3GT4apuCXMaxJjwwguXtvFph+OWhmchdDi2A597Dsd24HPP4dge7rzzNRvd17zK5XA4HA6Hw+FwOBwOh2MlXCl1OBwOh8PhcDgcDsfW4Eqpw+FwOBwOh8PhcDi2BldKHQ6Hw+FwOBwOh8OxNbhS6nA4HA6Hw+FwOByOrcGVUofD4XA4HA6Hw+FwbA2ulDocDofD4XA4HA6HY2twpdThcDgcDofD4XA4HFtDSCmlbRfC4XA4HA6Hw+FwOBy3JtxT6nA4HA6Hw+FwOByOrcGVUofD4XA4HA6Hw+FwbA2ulDocDofD4XA4HA6HY2twpdThcDgcDofD4XA4HFuDK6UOh8PhcDgcDofD4dgaXCl1OBwOh8PhcDgcDsfWsBWldLFY4Kd/+qfxD//wD9v4vMNxS+LZZ5/Fgw8+iLe+9a1429vehscffxzz+XzbxXI4bno888wz+OVf/mXce++9eOCBB/Cnf/qn2y6Sw3HL4dFHH8Uv/MIvbLsYDsctgQsXLuBNb3pT8e/Xfu3X1j4zuUZlE8znczz00EP4+te/fq0/7XDcslgsFnjwwQfxxje+EZ/61Kfwwgsv4JFHHgEAPPzww1suncNx82K5XOJXf/VX8UM/9EP43d/9XfzzP/8zHnroIbz2ta/Fz/zMz2y7eA7HLYF//Md/xKc//Wncd9992y6Kw3FL4Omnn8aP/diP4f3vf79c293dXfvMNfWUPv300/i5n/s5PPvss9fysw7HLY8vf/nLePbZZ/HYY4/h7rvvxn333Yf3vve9uHDhwraL5nDc1PjWt76F7//+78f73/9+3HXXXXjggQdw//334wtf+MK2i+Zw3BI4PDzEb//2b+MHfuAHtl0Uh+OWwTPPPIM3velNuPPOO+XfuXPn1j5zTZXSf/qnf8KP/MiP4K//+q+v5Wcdjlseb3jDG/Dxj38c+/v7ci2EgMViscVSORw3P17/+tfjj/7ojzCbzZBSwhe/+EV84QtfwA//8A9vu2gOxy2BD37wg7jvvvvcS+pwXEM8/fTT+O7v/u5TPXNNw3ff/e53X8vPORwOwh133IH7779fzmOM+Ku/+iv84A/+4BZL5XDcWnjb296Gb3/723jggQfwEz/xE9sujsNx0+PJJ5/E3/7t3+Kzn/0s/vzP/3zbxXE4bgksFgv8y7/8C/7+7/8eH/7whxFjxE/+5E/iN37jN7Czs7PyOc++63Dcgnjsscfwta99DQ899NC2i+Jw3DL42Mc+ho997GN46qmn8Nhjj227OA7HTY3FYoFHH30UjzzyCM6fP7/t4jgctwy+8Y1voOs6nDlzBh/+8Ifxvve9DxcuXDiR713zREcOh2N7SCnhAx/4AD75yU/iQx/6EO65555tF8nhuGXwfd/3fQCA4+Nj/NZv/Rbe9773rbUaOxyOy8dHP/pR3HXXXXjnO9+57aI4HLcU7rnnHnz+85/H7bffDgB485vfjJQSHnroITz66KOYTMbVT1dKHY5bBDFGPProo7hw4QI++MEP4h3veMe2i+Rw3PT41re+ha985St4+9vfLtfuvvtuLJdLXLp0CXfccccWS+dw3Ly4cOECnnvuOdx7770Acibsvu9x77334sknn9xy6RyOmxuskDKY77344ot47WtfO/qMh+86HLcIHn/8cVy4cAEf+chH8OM//uPbLo7DcUvgmWeewa//+q/jhRdekGtPPfUU7rjjDldIHY5XEX/5l3+Jz372s/jMZz6Dz3zmM3jXu96Ft7zlLfjMZz6z7aI5HDc1/u7v/g73339/kUzzq1/9Ks6dO4c777xz5XPuKXU4bgF86Utfwic+8Qk89NBDeMtb3oLnnntOfltHIBwOx5XhrW99K+6++248/PDDePjhh/Hss8/iiSeewIMPPrjtojkcNzVe97rXFefnzp3DbDbDXXfdtaUSORy3Bt761rcipYTf+Z3fwXve8x584xvfwB/8wR/gV37lVxBCWPmcK6UOxy2Az33ucwCAJ554Ak888UTx21NPPbUyvt/hcFwZptMp/uRP/gS/93u/h3e9613Y39/HL/3SL+EXf/EXt100h8PhcDiuOm6//Xb82Z/9GR577DH87M/+LM6ePYt3v/vdeM973rP2uZBSSteojA6Hw+FwOBwOh8PhcBTwNaUOh8PhcDgcDofD4dgaXCl1OBwOh8PhcDgcDsfW4Eqpw+FwOBwOh8PhcDi2BldKHQ6Hw+FwOBwOh8OxNbhS6nA4HA6Hw+FwOByOrcGVUofD4XA4HA6Hw+FwbA2ulDocDofD4XA4HA6HY2twpdThcDgcDofD4XA4HFuDK6UOh8PhcDgcDofD4dga/n829NVwW9jiKQAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "forecasts = res.forecast(horizon=5, method='bootstrap')\n", "sims = forecasts.simulations\n", "\n", "lines = plt.plot(x, sims.residual_variances[-1, ::5].T, color='#9cb2d6', alpha=0.5)\n", "lines[0].set_label('Simulated path')\n", "line = plt.plot(x, forecasts.variance.iloc[-1].values, color='#002868')\n", "line[0].set_label('Expected variance')\n", "plt.gca().set_xticks(x)\n", "plt.gca().set_xlim(1,5)\n", "legend = plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Value-at-Risk Forecasting\n", "Value-at-Risk (VaR) forecasts from GARCH models depend on the conditional mean, the conditional volatility and the quantile of the standardized residuals,\n", "\n", "$$VaR_{t+1|t} = -\\mu_{t+1|t} - \\sigma_{t+1|t} q_{\\alpha}$$\n", "\n", "where $q_{\\alpha}$ is the $\\alpha$ quantile of the standardized residuals, e.g., 5%. \n", "\n", "The quantile can be either computed from the estimated model density or computed using the empirical distribution of the standardized residuals. The example below shows both methods." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "am = arch_model(returns, vol='Garch', p=1, o=0, q=1, dist='skewt')\n", "res = am.fit(disp='off', last_obs='2017-12-31')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Parametric VaR\n", "First, we use the model to estimate the VaR. The quantiles can be computed using the `ppf` method of the distribution attached to the model. The quantiles are printed below." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[-2.64485046 -1.64965888]\n" ] } ], "source": [ "forecasts = res.forecast(start='2018-1-1')\n", "cond_mean = forecasts.mean['2018':]\n", "cond_var = forecasts.variance['2018':]\n", "q = am.distribution.ppf([0.01, 0.05], res.params[-2:])\n", "print(q)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, we plot the two VaRs along with the returns. The returns that violate the VaR forecasts are highlighted. " ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "value_at_risk = -cond_mean.values - np.sqrt(cond_var).values * q[None, :]\n", "value_at_risk = pd.DataFrame(\n", " value_at_risk, columns=['1%', '5%'], index=cond_var.index)\n", "ax = value_at_risk.plot(legend=False)\n", "xl = ax.set_xlim(value_at_risk.index[0], value_at_risk.index[-1])\n", "rets_2018 = returns['2018':].copy()\n", "rets_2018.name = 'S&P 500 Return'\n", "c = []\n", "for idx in value_at_risk.index:\n", " if rets_2018[idx] > -value_at_risk.loc[idx, '5%']:\n", " c.append('#000000')\n", " elif rets_2018[idx] < -value_at_risk.loc[idx, '1%']:\n", " c.append('#BB0000')\n", " else:\n", " c.append('#BB00BB')\n", "c = np.array(c, dtype='object')\n", "labels = {\n", " '#BB0000': '1% Exceedence',\n", " '#BB00BB': '5% Exceedence',\n", " '#000000': 'No Exceedence'\n", "}\n", "markers = {'#BB0000': 'x', '#BB00BB': 's', '#000000': 'o'}\n", "for color in np.unique(c):\n", " sel = c == color\n", " ax.scatter(\n", " rets_2018.index[sel],\n", " -rets_2018.loc[sel],\n", " marker=markers[color],\n", " c=c[sel],\n", " label=labels[color])\n", "ax.set_title('Parametric VaR')\n", "leg = ax.legend(frameon=False, ncol=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Filtered Historical Simulation\n", "\n", "Next, we use the empirical distribution of the standardized residuals to estimate the quantiles. These values are very similar to those estimated using the assumed distribution. The plot below is identical except for the slightly different quantiles." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.01 -2.668272\n", "0.05 -1.723352\n", "dtype: float64\n" ] } ], "source": [ "std_rets = (returns[:'2017'] - res.params['mu']) / res.conditional_volatility\n", "std_rets = std_rets.dropna()\n", "q = std_rets.quantile([.01, .05])\n", "print(q)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "value_at_risk = -cond_mean.values - np.sqrt(cond_var).values * q.values[None, :]\n", "value_at_risk = pd.DataFrame(\n", " value_at_risk, columns=['1%', '5%'], index=cond_var.index)\n", "ax = value_at_risk.plot(legend=False)\n", "xl = ax.set_xlim(value_at_risk.index[0], value_at_risk.index[-1])\n", "rets_2018 = returns['2018':].copy()\n", "rets_2018.name = 'S&P 500 Return'\n", "c = []\n", "for idx in value_at_risk.index:\n", " if rets_2018[idx] > -value_at_risk.loc[idx, '5%']:\n", " c.append('#000000')\n", " elif rets_2018[idx] < -value_at_risk.loc[idx, '1%']:\n", " c.append('#BB0000')\n", " else:\n", " c.append('#BB00BB')\n", "c = np.array(c, dtype='object')\n", "for color in np.unique(c):\n", " sel = c == color\n", " ax.scatter(\n", " rets_2018.index[sel],\n", " -rets_2018.loc[sel],\n", " marker=markers[color],\n", " c=c[sel],\n", " label=labels[color])\n", "ax.set_title('Filtered Historical Simulation VaR')\n", "leg = ax.legend(frameon=False, ncol=3)" ] } ], "metadata": { "anaconda-cloud": {}, "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": "3.7.6" } }, "nbformat": 4, "nbformat_minor": 4 }