From 79af1c37a2346ab71a6dff9af852ec25fbd5700c Mon Sep 17 00:00:00 2001 From: OlaiBM Date: Mon, 4 Sep 2023 20:35:06 +0200 Subject: [PATCH 1/2] Added Toy example, CVaR comparison and Optimizer comparison files to every problem folder. Deleted other files. --- ExactCover/CVaR_ExactCover.ipynb | 342 ++++++++ .../ComparisonOptimizer_ExactCover.ipynb | 494 +++++++++++ ExactCover/ExactCover 14 5.ipynb | 523 ----------- ExactCover/ExactCover 4 2.ipynb | 735 ---------------- ExactCover/ExactCover 6 3.ipynb | 736 ---------------- ExactCover/ToyExample_ExactCover.ipynb | 271 ++++++ ExactCover/utilities_exactCover.py | 35 + MaxCut/CVaR.ipynb | 131 ++- MaxCut/ComparisonOptimizers.ipynb | 229 +++-- MaxCut/ToyExampleQOA.ipynb | 200 ++--- PortfolioOptimization/4_asset_optimize.ipynb | 506 ----------- PortfolioOptimization/6_asset_optimize.ipynb | 580 ------------- PortfolioOptimization/8_asset_optimize.ipynb | 813 ------------------ PortfolioOptimization/CVaR_PortOpt.ipynb | 391 +++++++++ .../ComparisonOptimizers_PortOpt.ipynb | 809 +++++++++++++++++ .../ToyExample_PortOpt.ipynb | 438 ++++++++++ PortfolioOptimization/utilities_portOpt.py | 55 ++ README.md | 19 +- 18 files changed, 3147 insertions(+), 4160 deletions(-) create mode 100644 ExactCover/CVaR_ExactCover.ipynb create mode 100644 ExactCover/ComparisonOptimizer_ExactCover.ipynb delete mode 100644 ExactCover/ExactCover 14 5.ipynb delete mode 100644 ExactCover/ExactCover 4 2.ipynb delete mode 100644 ExactCover/ExactCover 6 3.ipynb create mode 100644 ExactCover/ToyExample_ExactCover.ipynb create mode 100644 ExactCover/utilities_exactCover.py delete mode 100644 PortfolioOptimization/4_asset_optimize.ipynb delete mode 100644 PortfolioOptimization/6_asset_optimize.ipynb delete mode 100644 PortfolioOptimization/8_asset_optimize.ipynb create mode 100644 PortfolioOptimization/CVaR_PortOpt.ipynb create mode 100644 PortfolioOptimization/ComparisonOptimizers_PortOpt.ipynb create mode 100644 PortfolioOptimization/ToyExample_PortOpt.ipynb create mode 100644 PortfolioOptimization/utilities_portOpt.py diff --git a/ExactCover/CVaR_ExactCover.ipynb b/ExactCover/CVaR_ExactCover.ipynb new file mode 100644 index 0000000..574e347 --- /dev/null +++ b/ExactCover/CVaR_ExactCover.ipynb @@ -0,0 +1,342 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Comparison of QAOA CVaR (Exact Cover)\n", + "In this notebook the QAOA method using the Conditional Value at risk (CVaR) is compared to the stadard QAOA for an instance of the exact cover problem. \n", + "# Importing necessary modules" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "#run: pip install openquantumcomputing\n", + "from openquantumcomputing.QAOAExactCover import QAOAExactCover\n", + "from utilities_exactCover import computeOptimalSolution, computeAverageApproxRatio\n", + "from tailassignment_loader import *\n", + "from qiskit import *\n", + "import numpy as np\n", + "import matplotlib.pyplot as pl\n", + "from mpl_toolkits.axes_grid1 import make_axes_locatable\n", + "from qiskit.visualization import *" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Creating problem instance" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "size = 14\n", + "flights = 24\n", + "solutions = 5\n", + "\n", + "path_to_examples = \"tailassignment_samples/\"\n", + "\n", + "FR, CR, best_sol = load_FR_CR(path_to_examples + f'FRCR_{size}_{flights}_{solutions}.txt')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Creating QAOA instanecs" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "params={'FR': FR}\n", + "params['CR']= CR\n", + "params['instances'] = size\n", + "qaoaec = QAOAExactCover(params=params)\n", + "alpha = 0.1 # value for CVaR (Conditional Value at Risk)\n", + "params['alpha'] = alpha\n", + "qaoaec_CVaR = QAOAExactCover(params = params)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Sampling cost landscape for all methods" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Calculating Energy landscape for depth p=1...\n", + "Executing sample_cost_landscape\n", + "parameters: 2\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Done execute\n", + "Done measurement\n", + "Calculating Energy landscape done\n", + "Calculating Energy landscape for depth p=1...\n", + "Executing sample_cost_landscape\n", + "parameters: 2\n", + "Done execute\n", + "Done measurement\n", + "Calculating Energy landscape done\n" + ] + } + ], + "source": [ + "# Evaluating the QAOA circuit with uniformly sampled angles for gamma and beta, just to see how sampling measurements from \n", + "# the circuits roughly looks like.\n", + "qaoaec.sample_cost_landscape(angles={\"gamma\": [0,np.pi/2,10], \"beta\": [0,np.pi/2,10]})\n", + "qaoaec_CVaR.sample_cost_landscape(angles={\"gamma\": [0,np.pi/2,10], \"beta\": [0,np.pi/2,10]})" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Plotting cost landscape, for both QAOA instances" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "f = pl.figure(figsize=(6, 6), dpi= 80, facecolor='w', edgecolor='k');\n", + "_=pl.xlabel(r'$\\gamma$')\n", + "_=pl.ylabel(r'$\\beta$')\n", + "ax = pl.gca()\n", + "_=pl.title('Expectation value')\n", + "im = ax.imshow(qaoaec.E,interpolation='bicubic',origin='lower',extent=[0,np.pi/2,0,np.pi/2])\n", + "divider = make_axes_locatable(ax)\n", + "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n", + "_=pl.colorbar(im, cax=cax)\n", + "\n", + "f = pl.figure(figsize=(6, 6), dpi= 80, facecolor='w', edgecolor='k');\n", + "_=pl.xlabel(r'$\\gamma$')\n", + "_=pl.ylabel(r'$\\beta$')\n", + "ax = pl.gca()\n", + "_=pl.title('Expectation value Cvar')\n", + "im = ax.imshow(qaoaec_CVaR.E,interpolation='bicubic',origin='lower',extent=[0,np.pi/2,0,np.pi/2])\n", + "divider = make_axes_locatable(ax)\n", + "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n", + "_=pl.colorbar(im, cax=cax)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Increasing depth" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "cost(depth= 1 )= 239.61816406249997\n", + "cost(depth= 1 )= 13.637254901960784\n", + "cost(depth= 2 )= 245.58789062500014\n", + "cost(depth= 2 )= 14.57843137254902\n", + "cost(depth= 3 )= 243.52441406249994\n", + "cost(depth= 3 )= 13.607843137254902\n", + "cost(depth= 4 )= 235.8994140624999\n", + "cost(depth= 4 )= 17.725490196078432\n", + "cost(depth= 5 )= 246.8955078125003\n", + "cost(depth= 5 )= 12.784313725490197\n" + ] + } + ], + "source": [ + "maxdepth=5\n", + "for i in range(maxdepth):\n", + " qaoaec.increase_depth()\n", + " qaoaec_CVaR.increase_depth()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Compute and print the optimal solution with minium cost" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimal solution: 11000000000000 \n", + " With cost: 5.0\n" + ] + } + ], + "source": [ + "cost_func = qaoaec.cost\n", + "isFeasible_func = qaoaec.isFeasible\n", + "mincost, solution = computeOptimalSolution(cost_func, isFeasible_func, FR)\n", + "print(\"Optimal solution: \", solution, \"\\n With cost: \", mincost)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Compute and plot approximation ratio" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pl.hlines(1, 1,maxdepth, linestyles=\"solid\", colors=\"black\")\n", + "pl.plot(np.arange(1,maxdepth+1), np.array(mincost/list(qaoaec.costval.values())),'o--', label='QAOA')\n", + "pl.plot(np.arange(1,maxdepth+1), np.array(mincost/list(qaoaec_CVaR.costval.values())),'o--', label='QAOA with CVaR')\n", + "pl.ylim(0,1.05)\n", + "_=pl.ylabel('appr. ratio')\n", + "_=pl.xlabel('depth')\n", + "_=pl.legend()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Compute and plot approximation ratio (SECOND WAY)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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eM/na+fn5WL9+PdRqNdRqtclylsBwQ0REzVOaZ9lyTXTixAkIIdC7d2+j63v37o1Lly6hoKAAgBxeVq1apR9KeeCBB7Bjxw5kZmYCAAoKCnD58uVG9yeEwMmTJwEAJSUlWLt2rX5/Dz30ENasWYPS0lKTdR47diyOHDmCgoICXLp0CUeOHEF8fLw+3KSmpmLIkCFwdXVtsK23tzfUajXc3d3h7+9vEMCqqqqwfPlyREZGYtCgQXjyySeRkpLS6O+uS5cucHR0NFkGAGJiYhAYGIiVK1fql61atQrBwcEYN24cAGDBggUYMWIEQkNDMWnSJDz77LNYs2aNwX6Ki4vh5uaGdu3awc/PD1u3bsXs2bPRrl27Rl+/pXhXcCIiauhfjfTISNXfut38mravuuXmZjS/TvXU7ZkxRqPRAAA2b96MsrIy3HHHHQAAHx8fjB8/Hp999pnBpN0b7a/GN998g65duyIiIgIAMGDAAISEhCA5OVnfq1Ffv3794O3tjW3btkGj0WDgwIG48847sWzZMgByT87YsWOb9Pp1ubq6omvXrvrnAQEByM/PN1m+qceoVqsRFxeHVatWITExEUIIfP7555gxYwZUKrlfJDk5GR988AFOnTqF0tJSXL9+HR4eHgb7cXd3x4EDB1BVVYWff/4ZX331FV5//XWzj9Nc7LkhIqKGNO1MPxyd5TIhIwCPQACSiZ1IgEeQXO5G+zVDt27dIEkSjh49anT90aNH0bFjR/0Qy4oVK1BUVAQXFxc4ODjAwcEBGzduxOeffw6dTqcv29j+JElCt27d9Ps7fPiwfl8ODg44cuRIoxOLJUnC6NGjkZqaqg8y4eHhqKiowKFDh7Br1y6MGTPGrN8DgAY9MJIkNRpgevTogdOnT6OqquqG+645U2zLli1ISUlBdnY2ZsyYAQBIS0vDtGnTcMcdd+DHH3/EwYMH8eKLL6KystJgHyqVCt26dUPv3r2RkJCAYcOG4YknnjD7OM3FcENERM2jUgMTFlc/qR9wqp9PWCSXs6AOHTpg/Pjx+PDDD3H16lWDdbm5ufjqq6/wyCOPAAAuXryI7777DqtXr0Z6err+cfDgQVy6dAm//vorVCoVpkyZgq+//hq5ubkG+7t69So+/PBDxMTEwNvbGxkZGdi3bx9SU1MN9peamoq0tDQcO3bMZL1r5t2kpqZi7NixUKlUGD16NN566y1UVFTglltuMbmtRqOBVtvyawc9+OCDKC0txYcffmh0/eXLl/U/d+3aFWPGjMFnn32GlStXIjo6GiEhIQCAXbt2ISQkBC+++CIiIyPRvXt3g/k5psybNw/Jyck4cOBAi4+lMQw3RETUfH3uAqZ8AXgEGC73CJSX97nLKi+7dOlSVFRUICYmBtu3b0d2djY2bdqE8ePHo0ePHnj55ZcBAF9++SU6dOiAKVOmoF+/fvpHREQE7rjjDv1E4DfeeAP+/v4YP348fv75Z2RnZ2P79u2IiYlBVVWVfvhoxYoVGDp0KEaPHm2wv9GjR2PIkCGNTiyumXdz+PBhjBw5Ur/sq6++QmRkZKPzUEJDQ7F9+3acP38ehYWFzf69RUVF4fnnn8czzzyD559/HmlpaTh79ixSUlJw//334/PPPzcoP3PmTKxbtw7r1683GHLr3r07srKysHr1apw6dQoffPAB1q9ff8PXDw4Oxt13361vH6u54flUCsNTwYmIZI2eCm4u7XUhTm8X4s9v5f/XPf3bSjIzM0VcXJzw8/MTkiQJAOKee+4RZWVl+jL9+/cXs2bNMrp9cnKy0Gg0oqCgQAghREFBgZgzZ44IDg4Wjo6Ows/PTzzyyCPi7NmzQgj5dO0OHTqIN9980+j+Fi9eLHx9fQ1Oh65Lq9UKLy8vERUVpV928OBBAUDMmzfPoGzdU8GFECItLU2Eh4cLJyenBqeC17V+/XrRlI/25ORkMXr0aOHu7i7atWsnwsPDxauvvqo/FbxGeXm58PT0FN7e3uLatWsG65577jnRoUMH4ebmJmJjY8V7771nUB9j9as5FgBiz549DdZZ6lRwSYgmzi5SiJKSEnh6eqK4uLjBxCciopvJtWvXkJmZibCwMDg7O9u6Oi2WmJiId999F5s3b8awYcNsXR1qhsb+TZrz+c2zpYiISBEWLlyI0NBQ7N69G0OHDtWf1UM3H4YbIiJSjJqzeejmxlhLREREisJwQ0R0k7vJpl5SG2apf4sMN0REN6maC8CVl5fbuCZEspqLALb03lOcc0NEdJNSq9Vo3769/nL9rq6ukCRTVxsmsi6dToeCggK4urrCwaFl8YThhojoJlZzE8bG7kdE1FpUKhU6d+7c4pDNcENEdBOTJAkBAQHw9fVt0v2GiKxJo9FY5BR+hhsiIoJarW7xPAeitoITiomIiEhRGG6IiIhIURhuiIiISFEYboiIiEhRGG6IiIhIURhuiIiISFEYboiIiEhRGG6IiIhIURhuiIiISFEYboiIiEhRGG6IiIhIURhuiIiISFEYboiIiEhRGG6IiIhIURhuiIiISFEYboiIiEhRGG6IiIhIURhuiIiISFEYboiIiEhRGG6IiIhIURhuiIiISFEYboiIiEhRGG6IiIhIURhuiIiISFEYboiIiEhRGG6IiIhIURhuiIiISFEYboiIiEhRGG6IiIhIUWwebpYtW4bQ0FA4OzsjKioKe/fubbT8kiVL0LNnT7i4uCA4OBhPP/00rl271kq1JSIiorbOpuEmOTkZCQkJSExMxIEDBxAREYGYmBjk5+cbLf/1119j3rx5SExMxNGjR7FixQokJyfjX//6VyvXnIiIiNoqSQghbPXiUVFRGDJkCJYuXQoA0Ol0CA4Oxpw5czBv3rwG5Z988kkcPXoUKSkp+mXPPPMM9uzZgx07dhh9jYqKClRUVOifl5SUIDg4GMXFxfDw8LDwEREREZE1lJSUwNPTs0mf3zbruamsrMT+/fsRHR1dWxmVCtHR0UhLSzO6zYgRI7B//3790NXp06exceNG3HHHHSZfJykpCZ6envpHcHCwZQ+EiIiI2hQHW71wYWEhtFot/Pz8DJb7+fnh2LFjRrd58MEHUVhYiJEjR0IIgevXr+Pxxx9vdFhq/vz5SEhI0D+v6bkhIiIiZbL5hGJzpKam4o033sCHH36IAwcOYN26dfjpp5/w2muvmdzGyckJHh4eBg8iIiJSLpv13Pj4+ECtViMvL89geV5eHvz9/Y1u89JLL+Hhhx/GY489BgDo378/ysrK8M9//hMvvvgiVCq7ympERERkBTZLAxqNBoMHDzaYHKzT6ZCSkoLhw4cb3aa8vLxBgFGr1QAAG86LJiIiojbEZj03AJCQkIC4uDhERkZi6NChWLJkCcrKyjBjxgwAwPTp0xEUFISkpCQAwKRJk/Duu+9i4MCBiIqKwsmTJ/HSSy9h0qRJ+pBDRERENzebhpvY2FgUFBTg5ZdfRm5uLgYMGIBNmzbpJxlnZWUZ9NQsWLAAkiRhwYIFOH/+PDp27IhJkybh9ddft9UhEBERURtj0+vc2II558kTERFR22AX17khIiIisgaGGyIiIlIUhhsiIiJSFIYbIiIiUhSGGyIiIlIUhhsiIiJSFIYbIiIiUhSGGyIiIlIUhhsiIiJSFIYbIiIiUhSGGyIiIlIUhhsiIiJSFIYbIiIiUhSGGyIiIlIUhhsiIiJSFIYbIiIiUhSGGyIiIlIUhhsiIiJSFIYbIiIiUhSGGyIiIlIUhhsiIiJSFIYbIiIiUhSGGyIiIlIUhhsiIiJSFIYbIiIiUhSGGyIiIlIUhhsiIiJSFIYbIiIiUhSGGyIiIlIUhhsiIiJSFIYbIiIiUhSGGyIiIlIUhhsiIiJSFIYbIiIiUhSGGyIiIlIUhhsiIiJSFIYbIiIiUhSGGyIiIlIUhhsiIiJSFIYbIiIiUhSGGyIiIlIUhhsiIiJSFIYbIiIiUhSGGyIiIlIUhhsiIiJSFIYbIiIiUhSGGyIiIlIUhhsiIiJSFIYbIiIiUhSGGyIiIlIUhhsiIiJSFIYbIiIiUhSGGyIiIlIUhhsiIiJSFIYbIiIiUpQWhRshBIQQlqoLERERUYs1K9x88cUX6N+/P1xcXODi4oLw8HB8+eWXlq4bERERkdkczN3g3XffxUsvvYQnn3wSt9xyCwBgx44dePzxx1FYWIinn37a4pUkIiIiaipJmDmuFBYWhoULF2L69OkGyz///HO88soryMzMtGgFLa2kpASenp4oLi6Gh4eHratDRERETWDO57fZw1I5OTkYMWJEg+UjRoxATk6OubvDsmXLEBoaCmdnZ0RFRWHv3r2Nlr98+TJmz56NgIAAODk5oUePHti4caPZr0tERETKZHa46datG9asWdNgeXJyMrp3727WvpKTk5GQkIDExEQcOHAAERERiImJQX5+vtHylZWVGD9+PM6cOYO1a9fi+PHj+PTTTxEUFGTuYRAREZFCmT0s9d///hexsbGIjo7Wz7nZuXMnUlJSsGbNGtx9991N3ldUVBSGDBmCpUuXAgB0Oh2Cg4MxZ84czJs3r0H55cuX46233sKxY8fg6OhoTrX1OCxFRERkf6w6LHXvvfdiz5498PHxwYYNG7Bhwwb4+Phg7969ZgWbyspK7N+/H9HR0bWVUakQHR2NtLQ0o9t8//33GD58OGbPng0/Pz/069cPb7zxBrRarcnXqaioQElJicGDiIiIlMvss6UAYPDgwfjPf/7TohcuLCyEVquFn5+fwXI/Pz8cO3bM6DanT5/Gli1bMG3aNGzcuBEnT57ErFmzUFVVhcTERKPbJCUlYeHChS2qKxEREdmPJoWbkpISfRfQjXo+rDnUo9Pp4Ovri08++QRqtRqDBw/G+fPn8dZbb5kMN/Pnz0dCQoL+eUlJCYKDg61WRyIiIrKtJoUbLy8v5OTkwNfXF+3bt4ckSQ3KCCEgSVKjQ0R1+fj4QK1WIy8vz2B5Xl4e/P39jW4TEBAAR0dHqNVq/bLevXsjNzcXlZWV0Gg0DbZxcnKCk5NTk+pERERE9q9J4WbLli3w9vYGAGzdutUiL6zRaDB48GCkpKRg8uTJAOSemZSUFDz55JNGt7nlllvw9ddfQ6fTQaWSpwv99ddfCAgIMBpsiIiI6ObTpHAzZswY/c9hYWEIDg5u0HsjhEB2drZZL56QkIC4uDhERkZi6NChWLJkCcrKyjBjxgwAwPTp0xEUFISkpCQAwBNPPIGlS5ciPj4ec+bMwYkTJ/DGG2/gqaeeMut1iYiISLnMnlAcFhamH6Kqq6ioCGFhYU0elgKA2NhYFBQU4OWXX0Zubi4GDBiATZs26ScZZ2Vl6XtoACA4OBi//PILnn76aYSHhyMoKAjx8fF44YUXzD0MIiIiUiizr3OjUqmQl5eHjh07Giw/e/Ys+vTpg7KyMotW0NJ4nRsiIiL7Y87nd5N7bmrOOJIkCS+99BJcXV3167RaLfbs2YMBAwY0r8ZEREREFtLkcHPw4EEA8tyajIwMgwm8Go0GERERePbZZy1fQyIiIiIzNDnc1JwlNWPGDLz//vsc0iEiIqI2yewJxStXrrRGPYiIiIgsolm3X9i3bx/WrFmDrKwsVFZWGqxbt26dRSpGRERE1Bxm3zhz9erVGDFiBI4ePYr169ejqqoKhw8fxpYtW+Dp6WmNOhIRERE1mdnh5o033sB7772HH374ARqNBu+//z6OHTuGKVOmoHPnztaoIxEREVGTmR1uTp06hYkTJwKQz5IqKyuDJEl4+umn8cknn1i8gkRERETmMDvceHl54cqVKwCAoKAgHDp0CABw+fJllJeXW7Z2RERERGYye0Lx6NGjsXnzZvTv3x/3338/4uPjsWXLFmzevBnjxo2zRh2JiIiImszscLN06VJcu3YNAPDiiy/C0dERu3btwr333osFCxZYvIJERERE5jAr3Fy/fh0//vgjYmJiAMj3mZo3b55VKkZERETUHGbNuXFwcMDjjz+u77khIiIiamvMnlA8dOhQpKenW6EqRERERC1n9pybWbNmISEhAdnZ2Rg8eDDatWtnsD48PNxilSMiIiIylySEEOZsoFI17OyRJAlCCEiSBK1Wa7HKWUNJSQk8PT1RXFzMm38SERHZCXM+v83uucnMzGx2xYiIiIiszexwExISYo16EBEREVmE2ROKiYiIiNoyhhsiIiJSFIYbIiIiUhSGGyIiIlIUhhsiIiJSFIuFm7i4ONx2222W2h0RERFRs5h1KrgQAtnZ2fD19YWzs7PBuqCgIKMX+CMiIiJqTWZdoVin08HZ2RmHDx9G9+7drVkvq+EViomIiOyPOZ/fZnW1qFQqdO/eHRcvXmxRBYmIiIisxexxpEWLFuG5557DoUOHrFEfIiIiohYx+8aZXl5eKC8vx/Xr16HRaODi4mKwvqioyKIVtDQOSxEREdkfq944c8mSJc2tFxEREZHVmR1u4uLirFEPIiIiIoswO9wAgFarxfr163H06FEAQJ8+ffD3v/8dDg7N2h0RERGRxZidRg4fPoy77roLubm56NmzJwBg8eLF6NixI3744Qf069fP4pUkIiIiaiqzz5Z67LHH0LdvX5w7dw4HDhzAgQMHkJ2djfDwcPzzn/+0Rh2JiIiImszsnpv09HTs27cPXl5e+mVeXl54/fXXMWTIEItWjoiIiMhcZvfc9OjRA3l5eQ2W5+fno1u3bhapFBEREVFzmR1ukpKS8NRTT2Ht2rU4d+4czp07h7Vr12Lu3LlYvHgxSkpK9A8iIiKi1mb2Rfzq3hxTkiQA8g016z+XJAlardZS9bQYXsSPiIjI/lj1In5bt25tdsWIiIiIrM3scDNmzBhr1IOIiIjIIpp11b1Lly5hxYoVBhfxmzFjBry9vS1aOSIiIiJzmT2hePv27QgNDcUHH3yAS5cu4dKlS/jggw8QFhaG7du3W6OORERERE1m9oTi/v37Y/jw4fjoo4+gVqsByLdjmDVrFnbt2oWMjAyrVNRSOKGYiIjI/pjz+W12z83JkyfxzDPP6IMNAKjVaiQkJODkyZPm15aIiIjIgswON4MGDdLPtanr6NGjiIiIsEiliIiIiJrL7AnFTz31FOLj43Hy5EkMGzYMALB7924sW7YMixYtwp9//qkvGx4ebrmaEhERETVBiy7iZ3SHksSL+BEREZFFWfUifpmZmc2uGBEREZG1mR1uQkJCrFEPIiIiIoto1kX8AODIkSPIyspCZWWlwfK77rqrxZUiIiIiai6zw83p06dx9913IyMjQz+/Bqi9aWZbnGdDRERENw+zTwWPj49HWFgY8vPz4erqisOHD2P79u2IjIxEamqqFapIRERE1HRm99ykpaVhy5Yt8PHxgUqlgkqlwsiRI5GUlISnnnoKBw8etEY9iYiIiJrE7J4brVYLd3d3AICPjw8uXLgAQJ5ofPz4ccvWjoiIiMhMZvfc9OvXD3/88QfCwsIQFRWFN998ExqNBp988gm6dOlijToSERERNZnZ4WbBggUoKysDALz66qu48847MWrUKHTo0AHJyckWryARERGROcy+QrExRUVF8PLy0p8x1ZbxCsVERET2x6pXKDbG29vbErshIiIiajGzJxQTERERtWVtItwsW7YMoaGhcHZ2RlRUFPbu3duk7VavXg1JkjB58mTrVpCIiIjshs3DTXJyMhISEpCYmIgDBw4gIiICMTExyM/Pb3S7M2fO4Nlnn8WoUaNaqaZERERkD2webt5991384x//wIwZM9CnTx8sX74crq6u+Oyzz0xuo9VqMW3aNCxcuJCnnxMREZEBm4abyspK7N+/H9HR0fplKpUK0dHRSEtLM7ndq6++Cl9fX8ycOfOGr1FRUYGSkhKDBxERESmXTcNNYWEhtFot/Pz8DJb7+fkhNzfX6DY7duzAihUr8OmnnzbpNZKSkuDp6al/BAcHt7jeRERE1HbZfFjKHFeuXMHDDz+MTz/9FD4+Pk3aZv78+SguLtY/srOzrVxLIiIisiWLXOemuXx8fKBWq5GXl2ewPC8vD/7+/g3Knzp1CmfOnMGkSZP0y3Q6HQDAwcEBx48fR9euXQ22cXJygpOTkxVqT0RERG2RTXtuNBoNBg8ejJSUFP0ynU6HlJQUDB8+vEH5Xr16ISMjA+np6frHXXfdhVtvvRXp6ekcciIiIiLb9twAQEJCAuLi4hAZGYmhQ4diyZIlKCsrw4wZMwAA06dPR1BQEJKSkuDs7Ix+/foZbN++fXsAaLCciIiIbk42DzexsbEoKCjAyy+/jNzcXAwYMACbNm3STzLOysqCSmVXU4OIiIjIhixy40x7whtnEhER2R9zPr/ZJUJERESKwnBDREREisJwQ0RERIrCcENERESKwnBDREREisJwQ0RERIrCcENERESKwnBDREREisJwQ0RERIrCcENERESKwnBDREREisJwQ0RERIrCcENERESKwnBDREREisJwQ0RERIrCcENERESKwnBDREREisJwQ0RERIrCcENERESKwnBDREREisJwQ0RERIrCcENERESKwnBDREREisJwQ0RERIrCcENERESKwnBDREREisJwQ0RERIrCcENERESKwnBDREREisJwQ0RERIrCcENERESKwnBDREREisJwQ0RERIrCcENERESKwnBDREREisJwQ0RERIrCcENERESKwnBDREREisJwQ0RERIrCcENERESKwnBDREREisJwQ0RERIrCcENERESKwnBDREREisJwQ0RERIrCcENERESKwnBDREREisJwQ0RERIrCcENERESKwnBDREREisJwQ0RERIrCcENERESKwnBDREREisJwQ0RERIrCcENERESKwnBDREREisJwQ0RERIrCcENERESKwnBDREREisJwQ0RERIrSJsLNsmXLEBoaCmdnZ0RFRWHv3r0my3766acYNWoUvLy84OXlhejo6EbLExER0c3F5uEmOTkZCQkJSExMxIEDBxAREYGYmBjk5+cbLZ+amoqpU6di69atSEtLQ3BwMG6//XacP3++lWtOREREbZEkhBC2rEBUVBSGDBmCpUuXAgB0Oh2Cg4MxZ84czJs374bba7VaeHl5YenSpZg+fXqD9RUVFaioqNA/LykpQXBwMIqLi+Hh4WG5AyEiIiKrKSkpgaenZ5M+v23ac1NZWYn9+/cjOjpav0ylUiE6OhppaWlN2kd5eTmqqqrg7e1tdH1SUhI8PT31j+DgYIvUnYiIiNomm4abwsJCaLVa+Pn5GSz38/NDbm5uk/bxwgsvIDAw0CAg1TV//nwUFxfrH9nZ2S2uNxEREbVdDrauQEssWrQIq1evRmpqKpydnY2WcXJygpOTUyvXjIiIiGzFpuHGx8cHarUaeXl5Bsvz8vLg7+/f6LZvv/02Fi1ahN9++w3h4eHWrCYRERHZEZsOS2k0GgwePBgpKSn6ZTqdDikpKRg+fLjJ7d5880289tpr2LRpEyIjI1ujqkRERGQnbD4slZCQgLi4OERGRmLo0KFYsmQJysrKMGPGDADA9OnTERQUhKSkJADA4sWL8fLLL+Prr79GaGiofm6Om5sb3NzcbHYcRERE1DbYPNzExsaioKAAL7/8MnJzczFgwABs2rRJP8k4KysLKlVtB9NHH32EyspK3HfffQb7SUxMxCuvvNKaVSeitkSnBc7uAkrzADc/IGQEoFLbulZEZAM2v85NazPnPHkishNHvgc2vQCUXKhd5hEITFgM9LnLdvUiIouxm+vcEBG12JHvgTXTDYMNAJTkyMuPfG+behHdjHRaIPN/QMZa+f86rU2qYfNhKSKiZtNp5R4bGOuAFgAkYNM8oNdEDlERWVsb6kFlzw0R2aeqq8C+VQ17bAwIoOS8PBeHiKynjfWgMtwQUdtXXgRcK659fng98EYQsDGhadtvmgekLQPyjwI31zRDIuu7YQ8q5L/BVhyi4rAUEbUdQgDF54DcP4GcP+X/52YAxdnAHW8DQ/8hl/MKBYQWcPY0DD2m5B0CfvmX/LN7ANDlVqDrbUCXsYBbR2sdDZHylRYAez9peg9q2KhWqRbDDRHZhvY6cP0q4OQuP889BHx+J3D1kvHyxedqf/brByQcA9p1BN7vL3d9G/3WKAFuvsCIOcDpVODMTuBKDvDH1/IDkPfjEWDBAyNSuJILwM73gcztQP6Rpm9XmnfjMhbCcENE1ldZLr8J1u2RyTsCRD4KTHhDLtM+WA42KgegY2/Avz8QEA74hwP+/eRemhpqx9pAMmGxPKYPCYYBR5L/d8fb8mTGEXOAqmtA9m7g1Bb5UXXVMNh8OwOoKJF7dbreBnTsBUiSFX8xRG1cZRmQlQaoNUDYaHmZygHYs7y2jFcYcCnzxvty87txGQvhdW6IyLK0VXL4AIBrJcCK8UDhX4DQNSzbdRzw8Lra53mHgQ7dAAczb3Zr9CyNIGDCosbP0qi6Cji6yD9frwTeDAMqS2vXcwiLbjbXK4Bzv8u9MpnbgXP7AF2V/O9/+ne15VIXyeE/dBTg0h5Y0q/xHlSPQGBuRovOWjTn85vhhoiap8H8mAz5Z//+wNRvasu81Q0oL5SHkPzD6/TIRADeXQCVhc5raOkVioWQJxzX9Oqc3Qlcv1a7PmQkMOOn2ud1QxyREqyeBpz8zfDfPQB4BgM9YoCJ75jetuZsKQBGe1CnfNHi08HN+fzmsBQR3ZgQhsMz30yVu6qNzY+p+31JkoAHk+VeFHd/6w7xqNQtm6woSYBfH/kx4kl5CCsrTQ46p7cC3W6rLVtWCLwfAXQeDnS9lUNYZD90OiD/sNwrU/gXMOn92nXXr8mPdr7yEFTNwyv0xv+2+9wlBxij17m5QQ+qFbDnhogMGZsfo9MC/7ettsy/xwPn9lbPj+kl98gEVPfK+Pc3nB+jFHUD3uENwLdxhuvdA6qHr24Fuo0DXL1bvYpEDQgBXDwJZG6rHmr6H3C1qHZ9wlE5gADAhXTAwRno2LP5Qd2K93jjsFQjGG6ITEh5DTj2o/H5MZIKmH8e0LjKz7P2yPNifHubPz9GCW40hPX3D4GB0+SfK0rl4aub8fdEtlE3iP/yIpC21HC9Yzs5dISNBgZMA9p1aP06NgOHpYjIUN35MbkZco9M4V/ArN2AuvptoPgcUHBM/tnVp/ZMpZr5MQ7OtfvrHNX6x9CWNDaEdWqrPPmyxv5VwNbXgZBbqs/CupVDWGRZV/KAM/+r7Z259zOg02B5XeBAQO0k/82GVg8zBQ1S/Hwx9twQKVn6N8Af38ihxtj8mFm75d4XQD4rovyiHGisPT/mZrL2UeDQfw2X1Qxhdb0N6HUn4OhsfFsiY66VyNdtqjmjqfC44fpxicCo6qt3V1X3KCrg3xiHpRrBcEOKUnVVvl5M7h+1ZyxN+Rzw7CSvT10MpFZfR6bu/JiaM5aCBteeCk3WIYQ8h6mmV6fuEJbaCZh3trYNijLl+Q8cwqK6Kq7Ic+Hcq68TczYNWDmhTgFJ/nsOGw2EjQE6D6u9OKaCcFiKSMnO7JSHOnL/ND4/JufP2nDTa6J8kTr/cDnYKODbm92RJMCvr/youZBgzRBWZZlhuEx+CCg6XWcI67aWTe4k+1R1FcjeW9szc34/MPgR4M535fVBg4GAAUDwUDnQhNzCCez1MNwQtTXG7q808mn5jQyQT7PMWFNbvv78mE6Rtev8+8kPajscnatPH7/VcHlFqXyKeVU5cHKz/ABqh7B6TwJ6/q3160utQ6cF/veuPG8mey+grTBcX/cKwA4aw7MXqQGGG6K24OIpYN9ntRN+68+PCRlRG246DwNuXVAbaDg/Rhmc3IBnjtUZwtoin1J7JQdI/0ruoasJNzqdPLwVPJRDWPZIp5X/zi+fBfr8XV6mUgPp/wEunZGfuwcYXmumfWebVdceMdwQtZaa68fk/CG/sXUfLw8bAcDVy4ana9a/fkzXOheQax8MjHmuVatOraTBENbV6iGsrbX39QGAvAz5JqOOrhzCsgdCAAXHq4eZtgFndgDXLgMad6DnxNozFm+Jl0Ns2Bj5NiRsy2ZjuLEUK164iFqJpdvw6iXg4H9qh5bqz4+RpNpw49cHGPKP2t6Ym/X6MWTI0aU2uNR1JVf+N1qaV28IK1Ae7op6XP63RLa3/W1gz8dAWb7hco07EHqL/D5Rc8+yyEdbv34KxXBjCUZv2hco3624lS85Tc3U3DYUAijOrr12jFcoMGBq7bpfFxiWr3t/pbpzLhxdgIlvW+xwSOF6xADPHDcyhHVBHsIKj60tW3BcDkHBUQzM1lRyQb76b+Z2YPyrtRfGEzo52Di4yNeaqTmjKWBAbY8NWRxPBW8p/c3C6v8aLXezMLIyc9pQpwUy1lbPjTEyP6b+nXO/f0q+6Rznx5C11R3Cum1BbZD5eR6w5yN5CCt0ZO1dzjmE1TJlhdUXzqu+pcHFE7Xr7v8c6DtZ/vnSWfkEgU6RDJctxOvcNMKi4Uanrb7N+wUTBSxzm3eyohu2IQDn9sDzp+U2FAJYHCqPl9dQOQAde8u9MSHDgUHTTeyIyAZSXgMOfNFwWMQ9UA45d7xVe1sNapoj3wNrHjZcJqnk3piw0UDEA7UXxySL4XVuWsvZXY1/KEIAJeeBVzvI35BuiQeiX5FXFWUCy6LqfHOSqn+u/v/gR4CY1+VVpQXA0urTe+uWqdmu//3A3xbJTytKa8vW3yckoOcE+c0MkD/Y/99gI/ut/n/oqNrrKgDAx2MAbVWdMqh9naDBwKQltWW/mAxUlBivg28vwzvRfvuI/C2obj1qfm4fAtz1QW3Z75+Sf+fG6uvmZ1iHXxfI35rq7xOSfGPHSUua0IaQg8zZXfIdpyUJiJgKCG31TSI5P4bauHEvyT05xoawTqcaXmfnz2/lC8VxCEs+ASB7d+21ZsJjgaj/k9cFDpD/79u39mymkBGAS3tb1ZbqYbhpidK8JhYU8jd+g04y0fA6BnVpK+sU1Rr2FNRXeaVOWZ186qgpNSECkOtT99oJ9Xl3MXyef8SwXnXV/6O+cNB0nXXXDZ9n7ZHfaI3x7WP4/OxO+Q63xniFGj4/vU0eOjKmna8cbprahnV/pzVBkshemDoL6+rl2i9KOi2w8Vn577ZmCKtmMrNPD+UPYWmvA9l7aoeasvcCuqra9e18a8NN+87Ac6ft5oaTNyOGm5Zw82tauSlfAJ2GApp2tcs8g4G5h6APPjXzPWp+dqrT5ebqAzy5r3Zd/f87t68tq2kH/N//jJcTMAwhKjXw6K+m6+DiZXgc09ZWn+1Tb58QgEu9q2Peu6I6CNUNddU/1w9Cd74rX7hM1Ht9IeQelrqiX5Hvq2Ls+DRuhmVHJTQMczXla76tNrUN3QOaVo7IHtSchVVXRQnQY4Lcs1OWD5z4VX4A8hDW0MeAUc+0fl2tRXtd/nLjGVT9vBL4crLhFziPTkCXMXLPTOgow+0ZbNo0zrlpCf18jRw0nIwKcM6NHWAbEhkSAsg7bDiEpa0ARj8nD28B8heMHe/JAcleLiSo0wEFR+VemdPb5F5grxDg8R21ZdZMByS1HGa6jAG8wpTfY2VHOKG4EdY7Wwow/HDk2VJ2g21IZFrNEFb7EKBDV3nZsZ+A1Q/KP7f1IayMtcCxH+UzmsoLDdc5twcSjhj2qlObxXDTCKvcFdzoNVKCgAmL+KFoL9iGRE13bh+w99PaIay63AOBez42vKJya7mcLffI9J8CqFTysnX/BP5Mln92dJUn/tYMMwVEsEfWjjDcNMIq4QbgFYqVgG1IZB5TQ1hPHaw9IeHI9/IJBl1vqz4LS2N6f+b+DZbm157NlLm99gSJx3fW3jD2xG/AhQNyoAkc1PjrU5vGcNMIq4UbIqKbXdVV4Nzvhr02q6fJw0IA4NhOvuWAsSEsc64Sfvxn4LeF8hyauiQ1EDQIuP3/k28wS4rC69wQEVHrc3RpOBzV/355TsuprQ3PwmofAszZL4cVY1cJL8mRL5bX8w5gxFPyRTIBwMG5Ntj495dvZxA2Gug8HHDml1ZiuCEiImvqO1l+6HRA/mE55NQMYbkHyFf23fQCjJ+tWL3s+Eb5OlY14abzMGDKl/JEZldvI9vRzY7hhoiIrE+lqr6qd3/glqfkIazSvKZdJRwA3Hxrf3Z04UR/apTK1hUgIqKbkKOL3BvT1KuEewZbtTqkLAw3RERkO029SnhTyxGB4YaIiGwpZIR8VhRMXfhPkq85FTKiNWtFdo7hhoiIbEellk/3BtAw4FQ/n7CI15wiszDcEBGRbfW5S77NiUe9G9R6BPL2J9QsPFuKiIhsr89dQK+JvEo4WQTDDRERtQ0qNRA2yta1IAXgsBQREREpCsMNERERKQrDDRERESkKww0REREpCsMNERERKQrPliIiIiKL0OoE9mYWIf/KNfi6O2NomDfUKlNXn7YehhsLaSsNSs3HNrRvbD/7xza0b5sO5WDhD0eQU3xNvyzA0xmJk/pgQr+ARra0PIYbC2hLDUrNwza0b2w/+8c2tG+bDuXgif8cgKi3PLf4Gp74zwF89NCgVm1HzrlpoZoGrfsHCdQ26KZDOTaqGTUV29C+sf3sH9vQvml1Agt/ONIg2ADQL1v4wxFodcZKWAd7blqgKQ26YMMhBLV3hYNaQgc3DXzdnQEAldd1yCoqhyTJt4aTJKn6/4AECe7ODvBqp9G/Tv6Va5Ag6ctDAlTV2zg5quHmJDelEAIl16432K9KkrdVqyQ4qlX6sjqB2teVbr7u3xu1oQT5j3J8H392j7dBN0v7CSEgBKCr/psVEFBJtX/LOp3AlYrrQHUZger/C3lbJ0c1PF0c9WXPX75aZ39y+Zr3AzcnBwS2d9G/7qHzJRCoft3qMqh+3t7FEd393PX13HWyENrqMjoh9PXRCcC7nSMGh3jry/5yOBeV13W4rtXdsA3nrcvAxbJKSJD09UX1/9u7anBXRKB+m7X7z+FyeWV1/VGn7oCniyMejOqsL7t6bxYKrlTof6fVVQaEgKuTAx4f01Vf9j+7z+LcpasQkAvV/M6EADQOKjw/oZe+7BdpZ3Ayv1T/+kJfHlBJwOt399eX/XzXGWScL9aXNdg3gHfuj4BDdTuv3JmJ388UVbdrw32//8AAtKv+LFi1MxOpfxXUWS8Mfif/b+ogeFd/xny+6wx++jOn3v6Efr/Lpg1CUPW/iS/TziB5X3adOgCl16oaBNP67ZhTfA17M4swvGsHk+UsieGmBfZmFjXaoABQWFqJSUt3AAAeH9MV8/4m/wHkFF9F9LvbTG4XNzwEC//eDwBwsbQCw5O2mCx7/+BOeOv+CABAacV1RCz81WTZO8MDsPTBQQAAnQC6/mtjgzI1wWhcbz98Oj1Svzz8lV9QqdUZhCypOjRFhXXAv+Nqy976dipKrlZBqk5iNeVVkoR+QR74d9wQfdl7P9qlD28qqTaQQQK6+LgZ7Pexz/fh3KVywzBYHQgDPJ3xSZ36PvvtH8gsLDMIjdX/wctVg+UPD75hGxr7o3zn1+PIOF9stLxKkvDZI7XHtnTLCew/e8nk/j9+OBIaB/mN69Ptp5F2+qLJsh9MHagPsV+kncG24wUmy755Xzg6uDkBAJJ/z8LmI3kmy742uR8CPOU3rg0Hz+OnDNPfkhdM7I2QDu0AAD9n5GD9wfMmyz4X01P/wbflWB6Sf882WXbObd3RL8gTALDzZCG+TDtrsuw/x3TBoM5eAOQ32qa2n5OjCkt+O2EQFPT/B/CPUV0wvo8fACA9+zISvzukDwk6neGH2T9Hd8G9gzsBAA6dL8aTXx8wKAvU7v+fo7vg0ZFhAIC/8q5gysdp+tet++EvIPDPUV2QcHtPAEBmYRlueycVwsSX3UdGhOKVu/oCAApKKxD1RorJ30NsZDAW3xcOACitvI5Rb241WXZSRCD+39SBAIDrOqF//zImurefwd9n3Mq9qNIar/At3Trgq8eG6Z8/9+0fKLl23eS+awgAl8ur8OL6Q0bX9/J3Nwg3y7aeRGZhmdGyIR1cDcLNF2lncSSnxGjZju5OBuFmw8Hz2Gfib9nNycEg3Gw+kof/nSg0WlatkgzCzc6Thfi1kb/PN+8L139Q/5F9GRszck2WrdLq9D8fz7uC1EbeIyqua/U/n71Yjr1nikyWvVZVWza35BoOnTf+O7uR/CuNf15aEsNNCzS1odydHeDkoIabU+0N4FSSBE8XR306rknrNW+INd/IajiopAZpukZzO1yEiXfN+km/xrUqHSrr/PHUVV5p+CZ1sbTC5BuXv6ezwfPzl64it8T471JT7/dwuqAUp028cRVfrTJ4fuRCick3Lp/qD/6mtmHdcn+cK8b2v4y/adTvHMg4X4ytjbzB6Or8jo/klGDLsXyTZa/X+d0fy72ClEbKVlyvLftXXil+O2q67Ly/1b5xnSoobTQIxY/rrv8582JZo2/Kj43qov/57MVy/HLYdNmpQ2s/cM5dKsemw6bfwCcPrP0gM/UhVl/+lWtw1TiYbDcABh+QZRXX8cc54wEWAIrKKvU/V1zX4czFcpNlSytq/w60OoHL5VUmy1bWCQYqCSaDDWD492nqLaD2S0jtMpUkwcVRXftFouaLh0r+wlD/fSrA0xmq6h2oVDD4EuLr4WTwer38PXBdJ6r3V1sWkoSuHd0Myg4N80ZZhRaFpRU4kV9q+kCr9Qv0QEB7F/m1a74wSdD3KNSI7u2L/CsVBl++asp3cNMYlJ3Qzx8RwZ6o/wVMkuT37bruDA9ARHB7g57umtdwcjB8n/r7gCAMqC6Ler3y9d8j7hnUCQM7exm0VU19AUBdp/HuHWxYtv6+nR1r2+6+wZ0wqLOX0S+CkgS0d9EYlI0M9arzb8XwC6y/R+179r2DOiEy1NtgZOBYbgne2HjMRMvVqhm5aA2SMPUJp1AlJSXw9PREcXExPDw8WrSvtFMXMfXT3Tcs980/hlmtK66m+WqGlIQQqNTq9G+K9bsuHVS1fwBCyG+09UNTTXmNWqUfGgOA85evQqcTRvfr5KDSd2UDwMn8K9Dq6nSNV5cFAGdHNbr51r7RHTpfXP1hbNjFKoSAi0aN8E7t9WX3n72Eq5Vag670mnDo5KjCiK4++rK7ThWi5Or1BvvVCQEnBxVu7+vfrDb834kC5JroLZAkCfdVf6MH5G76c5evmtzvPQOD9F3Ou09fRFYjH5J/HxgIJwe57fadKcKpAtMfCHeGB+q7pw9kXcJfuVdMlv1b/wD9kMWf5y7j8AXT38pi+vrru7IPXyjGH9mmA0B0b1/4Vr8pHsstabQHa2xPX/2H1Mn8K9h92vS3yNHdO6JzB1cAwPoD5/D0mj9Mlq3xzT+GIaSDK3afvgipekgXqP0gU0kS+gV66vdbVFaJA2cvyR/Q9YZ2VZKEUJ92+vqWVlzHsZwSSFLth37dD2BfDyf9m/q1Ki2yi8r1ZeruU/5AddS3xXWtDkXllfrh55oyNds6qlUGf8uVWh1UkqQvby9DzW3hfZRaRqsTGLl4C3KLrxkdXpQgf6nd8cJtLRoeNufzm+GmBVqrQcl62Ib2je1n/9iGylAzKRyAQTvWtJglzpYy5/ObZ0u1gFolIXFSHwANu4VrnidO6sM/yDaMbWjf2H72j22oDBP6BeCjhwY1mHbg7+nc6qeBA+y5scg+eX0G+8c2tG9sP/vHNlQGa16IkcNSjbBGuAF4ZU0lYBvaN7af/WMbUmMYbhphrXBDRERE1mN3c26WLVuG0NBQODs7IyoqCnv37m20/LfffotevXrB2dkZ/fv3x8aNDa/VQkRERDcnm4eb5ORkJCQkIDExEQcOHEBERARiYmKQn2/8uhy7du3C1KlTMXPmTBw8eBCTJ0/G5MmTceiQ8Qs8ERER0c3F5sNSUVFRGDJkCJYuXQoA0Ol0CA4Oxpw5czBv3rwG5WNjY1FWVoYff/xRv2zYsGEYMGAAli9ffsPX47AUERGR/THn89umVyiurKzE/v37MX/+fP0ylUqF6OhopKWlGd0mLS0NCQkJBstiYmKwYcMGo+UrKipQUVGhf15cLF90rKSkeZePJiIiotZX87ndlD4Zm4abwsJCaLVa+Pn5GSz38/PDsWPGL+Wcm5trtHxurvHLtSclJWHhwoUNlgcHBzez1kRERGQrV65cgaenZ6NlFH9vqfnz5xv09Oh0OhQVFaFDhw4WvzR5SUkJgoODkZ2drcghL6UfH6D8Y+Tx2T+lHyOPz/5Z6xiFELhy5QoCAwNvWNam4cbHxwdqtRp5eYY31MvLy4O/v7/Rbfz9/c0q7+TkBCcnw5u7tW/fvvmVbgIPDw/F/qMFlH98gPKPkcdn/5R+jDw++2eNY7xRj00Nm54tpdFoMHjwYKSkpOiX6XQ6pKSkYPjw4Ua3GT58uEF5ANi8ebPJ8kRERHRzsfmwVEJCAuLi4hAZGYmhQ4diyZIlKCsrw4wZMwAA06dPR1BQEJKSkgAA8fHxGDNmDN555x1MnDgRq1evxr59+/DJJ5/Y8jCIiIiojbB5uImNjUVBQQFefvll5ObmYsCAAdi0aZN+0nBWVhZUqtoOphEjRuDrr7/GggUL8K9//Qvdu3fHhg0b0K9fP1sdgp6TkxMSExMbDIMphdKPD1D+MfL47J/Sj5HHZ//awjHa/Do3RERERJZk8ysUExEREVkSww0REREpCsMNERERKQrDDRERESkKw00Tbd++HZMmTUJgYCAkSTJ5L6u6UlNTMWjQIDg5OaFbt25YtWqV1evZEuYeY2pqKiRJavAwdSsMW0tKSsKQIUPg7u4OX19fTJ48GcePH7/hdt9++y169eoFZ2dn9O/fHxs3bmyF2pqvOce3atWqBu3n7OzcSjU2z0cffYTw8HD9hcGGDx+On3/+udFt7KXtaph7jPbUfsYsWrQIkiRh7ty5jZazt3as0ZTjs7c2fOWVVxrUt1evXo1uY4v2Y7hporKyMkRERGDZsmVNKp+ZmYmJEyfi1ltvRXp6OubOnYvHHnsMv/zyi5Vr2nzmHmON48ePIycnR//w9fW1Ug1bZtu2bZg9ezZ2796NzZs3o6qqCrfffjvKyspMbrNr1y5MnToVM2fOxMGDBzF58mRMnjwZhw4dasWaN01zjg+QryJat/3Onj3bSjU2T6dOnbBo0SLs378f+/btw2233Ya///3vOHz4sNHy9tR2Ncw9RsB+2q++33//HR9//DHCw8MbLWeP7Qg0/fgA+2vDvn37GtR3x44dJsvarP0EmQ2AWL9+faNlnn/+edG3b1+DZbGxsSImJsaKNbOcphzj1q1bBQBx6dKlVqmTpeXn5wsAYtu2bSbLTJkyRUycONFgWVRUlPi///s/a1evxZpyfCtXrhSenp6tVykL8/LyEv/+97+NrrPntqursWO01/a7cuWK6N69u9i8ebMYM2aMiI+PN1nWHtvRnOOztzZMTEwUERERTS5vq/Zjz42VpKWlITo62mBZTEwM0tLSbFQj6xkwYAACAgIwfvx47Ny509bVabLi4mIAgLe3t8ky9tyOTTk+ACgtLUVISAiCg4Nv2EvQVmi1WqxevRplZWUmb71iz20HNO0YAftsv9mzZ2PixIkN2scYe2xHc44PsL82PHHiBAIDA9GlSxdMmzYNWVlZJsvaqv1sfoVipcrNzdVfZbmGn58fSkpKcPXqVbi4uNioZpYTEBCA5cuXIzIyEhUVFfj3v/+NsWPHYs+ePRg0aJCtq9conU6HuXPn4pZbbmn06tam2rGtziuq0dTj69mzJz777DOEh4ejuLgYb7/9NkaMGIHDhw+jU6dOrVjjpsnIyMDw4cNx7do1uLm5Yf369ejTp4/RsvbaduYco721HwCsXr0aBw4cwO+//96k8vbWjuYen721YVRUFFatWoWePXsiJycHCxcuxKhRo3Do0CG4u7s3KG+r9mO4oWbr2bMnevbsqX8+YsQInDp1Cu+99x6+/PJLG9bsxmbPno1Dhw41OlZsz5p6fMOHDzfoFRgxYgR69+6Njz/+GK+99pq1q2m2nj17Ij09HcXFxVi7di3i4uKwbds2kx/+9sicY7S39svOzkZ8fDw2b97cpifNNldzjs/e2vBvf/ub/ufw8HBERUUhJCQEa9aswcyZM21YM0MMN1bi7++PvLw8g2V5eXnw8PBQRK+NKUOHDm3zgeHJJ5/Ejz/+iO3bt9/wm5GpdvT397dmFVvEnOOrz9HREQMHDsTJkyetVLuW0Wg06NatGwBg8ODB+P333/H+++/j448/blDWHtsOMO8Y62vr7bd//37k5+cb9OxqtVps374dS5cuRUVFBdRqtcE29tSOzTm++tp6G9bXvn179OjRw2R9bdV+nHNjJcOHD0dKSorBss2bNzc6dq4E6enpCAgIsHU1jBJC4Mknn8T69euxZcsWhIWF3XAbe2rH5hxffVqtFhkZGW22DevT6XSoqKgwus6e2q4xjR1jfW29/caNG4eMjAykp6frH5GRkZg2bRrS09ONfvDbUzs25/jqa+ttWF9paSlOnTplsr42az+rTldWkCtXroiDBw+KgwcPCgDi3XffFQcPHhRnz54VQggxb9488fDDD+vLnz59Wri6uornnntOHD16VCxbtkyo1WqxadMmWx3CDZl7jO+9957YsGGDOHHihMjIyBDx8fFCpVKJ3377zVaH0KgnnnhCeHp6itTUVJGTk6N/lJeX68s8/PDDYt68efrnO3fuFA4ODuLtt98WR48eFYmJicLR0VFkZGTY4hAa1ZzjW7hwofjll1/EqVOnxP79+8UDDzwgnJ2dxeHDh21xCI2aN2+e2LZtm8jMzBR//vmnmDdvnpAkSfz6669CCPtuuxrmHqM9tZ8p9c8mUkI71nWj47O3NnzmmWdEamqqyMzMFDt37hTR0dHCx8dH5OfnCyHaTvsx3DRRzWnP9R9xcXFCCCHi4uLEmDFjGmwzYMAAodFoRJcuXcTKlStbvd7mMPcYFy9eLLp27SqcnZ2Ft7e3GDt2rNiyZYttKt8Exo4NgEG7jBkzRn+8NdasWSN69OghNBqN6Nu3r/jpp59at+JN1Jzjmzt3rujcubPQaDTCz89P3HHHHeLAgQOtX/kmePTRR0VISIjQaDSiY8eOYty4cfoPfSHsu+1qmHuM9tR+ptT/8FdCO9Z1o+OztzaMjY0VAQEBQqPRiKCgIBEbGytOnjypX99W2k8SQgjr9g0RERERtR7OuSEiIiJFYbghIiIiRWG4ISIiIkVhuCEiIiJFYbghIiIiRWG4ISIiIkVhuCEiIiJFYbghIiIiRWG4IaI2a+zYsZg7d67VX0eSJGzYsMHqr0NErYPhhohuGq+88goGDBhg62oQkZUx3BAREZGiMNwQUZtQVlaG6dOnw83NDQEBAXjnnXcM1ldUVODZZ59FUFAQ2rVrh6ioKKSmpurXr1q1Cu3bt8eGDRvQvXt3ODs7IyYmBtnZ2fr1CxcuxB9//AFJkiBJElatWqXfvrCwEHfffTdcXV3RvXt3fP/9961x2ERkBQw3RNQmPPfcc9i2bRu+++47/Prrr0hNTcWBAwf065988kmkpaVh9erV+PPPP3H//fdjwoQJOHHihL5MeXk5Xn/9dXzxxRfYuXMnLl++jAceeAAAEBsbi2eeeQZ9+/ZFTk4OcnJyEBsbq9924cKFmDJlCv7880/ccccdmDZtGoqKilrvF0BElmP1+44TEd3AlStXhEajEWvWrNEvu3jxonBxcRHx8fHi7NmzQq1Wi/PnzxtsN27cODF//nwhhBArV64UAMTu3bv1648ePSoAiD179gghhEhMTBQRERENXh+AWLBggf55aWmpACB+/vlnSx4mEbUSB9tGKyIi4NSpU6isrERUVJR+mbe3N3r27AkAyMjIgFarRY8ePQy2q6ioQIcOHfTPHRwcMGTIEP3zXr16oX379jh69CiGDh3aaB3Cw8P1P7dr1w4eHh7Iz89v0XERkW0w3BBRm1daWgq1Wo39+/dDrVYbrHNzc7PIazg6Oho8lyQJOp3OIvsmotbFOTdEZHNdu3aFo6Mj9uzZo1926dIl/PXXXwCAgQMHQqvVIj8/H926dTN4+Pv767e5fv069u3bp39+/PhxXL58Gb179wYAaDQaaLXaVjoqIrIVhhsisjk3NzfMnDkTzz33HLZs2YJDhw7hkUcegUolv0X16NED06ZNw/Tp07Fu3TpkZmZi7969SEpKwk8//aTfj6OjI+bMmYM9e/Zg//79eOSRRzBs2DD9kFRoaCgyMzORnp6OwsJCVFRU2OR4ici6GG6IqE146623MGrUKEyaNAnR0dEYOXIkBg8erF+/cuVKTJ8+Hc888wx69uyJyZMn4/fff0fnzp31ZVxdXfHCCy/gwQcfxC233AI3NzckJyfr1997772YMGECbr31VnTs2BHffPNNqx4jEbUOSQghbF0JIqKWWrVqFebOnYvLly/buipEZGPsuSEiIiJFYbghIiIiReGwFBERESkKe26IiIhIURhuiIiISFEYboiIiEhRGG6IiIhIURhuiIiISFEYboiIiEhRGG6IiIhIURhuiIiISFH+fzEMXGGPCnaQAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "hists = [None]*maxdepth\n", + "hists_CVaR = [None]*maxdepth\n", + "for i in range(maxdepth):\n", + " hists[i] = qaoaec.hist(qaoaec.angles_hist['d'+str(i+1)+'_final'])\n", + " hists_CVaR[i] = qaoaec_CVaR.hist(qaoaec_CVaR.angles_hist['d'+str(i+1)+'_final'])\n", + "\n", + "\n", + "apprx_ratio = [None]*maxdepth\n", + "apprx_ratio_CVaR = [None]*maxdepth\n", + "\n", + "for i in range(maxdepth):\n", + " apprx_ratio[i] = computeAverageApproxRatio(hists[i], mincost, cost_func)\n", + " apprx_ratio_CVaR[i] = computeAverageApproxRatio(hists_CVaR[i], mincost, cost_func) #does this method\n", + " #of calculating the approximation ratio make sense for the CVaR method?\n", + "\n", + "\n", + "pl.hlines(1, 1,maxdepth, linestyles=\"solid\", colors=\"black\")\n", + "pl.plot(np.arange(1,maxdepth+1), apprx_ratio,'o--', label='QAOA')\n", + "pl.plot(np.arange(1,maxdepth+1), apprx_ratio_CVaR,'o--', label='QAOA with CVaR')\n", + "pl.ylim(0,1.05)\n", + "_=pl.ylabel('appr. ratio')\n", + "_=pl.xlabel('depth')\n", + "_=pl.legend()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "environment", + "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": "3.11.4" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/ExactCover/ComparisonOptimizer_ExactCover.ipynb b/ExactCover/ComparisonOptimizer_ExactCover.ipynb new file mode 100644 index 0000000..97d96df --- /dev/null +++ b/ExactCover/ComparisonOptimizer_ExactCover.ipynb @@ -0,0 +1,494 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Comparisons of differet optimizeers for QAOA (Exact Cover)\n", + "In this notebook different optimizers for the QAOA parameters are compared, for the exact cover problem. Both the values of the parameters and the resulting approximation ratio are compared.\n", + "# Importing necessary modules" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "#run: pip install openquantumcomputing\n", + "from openquantumcomputing.QAOAExactCover import QAOAExactCover\n", + "from utilities_exactCover import computeOptimalSolution, computeAverageApproxRatio\n", + "from tailassignment_loader import *\n", + "from utilities_exactCover import computeOptimalSolution, computeAverageApproxRatio\n", + "from qiskit import *\n", + "import numpy as np\n", + "import matplotlib.pyplot as pl\n", + "from mpl_toolkits.axes_grid1 import make_axes_locatable\n", + "from qiskit.visualization import *\n", + "from qiskit_algorithms.optimizers import SPSA, QNSPSA, COBYLA, NELDER_MEAD" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Creating problem instance" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "size = 11\n", + "flights = 16\n", + "solutions = 4\n", + "\n", + "path_to_examples = \"tailassignment_samples/\"\n", + "\n", + "FR, CR, best_sol = load_FR_CR(path_to_examples + f'FRCR_{size}_{flights}_{solutions}.txt')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Setting up the optimizers to use roughly the same number of function evaluations" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "optimizers={}\n", + "plotstyle={}\n", + "\n", + "settings = {\n", + " \"maxiter\": 70,\n", + " \"blocking\": True,\n", + " \"allowed_increase\": 0,\n", + " \"second_order\": True,\n", + " \"regularization\": 0.01\n", + "}\n", + "optimizers[\"spsa\"] = [SPSA, settings.copy()]\n", + "plotstyle[\"spsa\"] = '+-'\n", + "\n", + "settings = {\n", + " \"maxiter\": 50,\n", + " \"blocking\": True,\n", + " \"allowed_increase\": 0,\n", + " \"learning_rate\": 0.02,\n", + " \"perturbation\": 0.05,\n", + " \"regularization\": 0.01,\n", + " \"hessian_delay\": 0\n", + "}\n", + "optimizers[\"qnspsa\"] = [QNSPSA, settings.copy()]\n", + "plotstyle[\"qnspsa\"] = 'o-'\n", + "\n", + "settings = {\n", + " \"maxiter\": 110,\n", + " \"tol\": 1e-6 \n", + "}\n", + "optimizers[\"neldermead\"] = [NELDER_MEAD, settings.copy()]\n", + "plotstyle[\"neldermead\"] = 'x-'\n", + "\n", + "settings = {\n", + " \"maxiter\": 350,\n", + " \"tol\": 1e-6 \n", + "}\n", + "optimizers[\"cobyla\"] = [COBYLA, settings.copy()]\n", + "plotstyle[\"cobyla\"] = '*-'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Creating a QAOA instance for each optimizer" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "params={'FR': FR}\n", + "params['CR']= CR\n", + "params['instances'] = size\n", + "qaoa={}\n", + "for key in optimizers:\n", + " params[key] = optimizers\n", + " qaoa[key]=QAOAExactCover(params=params)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Sample the cost landscape for each QAOA instance" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Calculating Energy landscape for depth p=1...\n", + "Executing sample_cost_landscape\n", + "parameters: 2\n", + "Done execute\n", + "Done measurement\n", + "Calculating Energy landscape done\n", + "Calculating Energy landscape for depth p=1...\n", + "Executing sample_cost_landscape\n", + "parameters: 2\n", + "Done execute\n", + "Done measurement\n", + "Calculating Energy landscape done\n", + "Calculating Energy landscape for depth p=1...\n", + "Executing sample_cost_landscape\n", + "parameters: 2\n", + "Done execute\n", + "Done measurement\n", + "Calculating Energy landscape done\n", + "Calculating Energy landscape for depth p=1...\n", + "Executing sample_cost_landscape\n", + "parameters: 2\n", + "Done execute\n", + "Done measurement\n", + "Calculating Energy landscape done\n" + ] + } + ], + "source": [ + "for key in optimizers:\n", + " qaoa[key].sample_cost_landscape(angles={\"gamma\": [0,np.pi/2,10], \"beta\": [0,np.pi/2,10]})" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Plot cost landscape for one optimizer method" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "method = \"cobyla\"\n", + "\n", + "f = pl.figure(figsize=(6, 6), dpi= 80, facecolor='w', edgecolor='k');\n", + "_=pl.xlabel(r'$\\gamma$')\n", + "_=pl.ylabel(r'$\\beta$')\n", + "ax = pl.gca()\n", + "_=pl.title('Expectation value')\n", + "im = ax.imshow(qaoa[method].E,interpolation='bicubic',origin='lower',extent=[0,np.pi/2,0,np.pi/2])\n", + "divider = make_axes_locatable(ax)\n", + "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n", + "_=pl.colorbar(im, cax=cax)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Increasing depth for each QAOA instance" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "cost(depth= 1 )= 55.95898437500001\n", + "cost(depth= 1 )= 55.62402343749999\n", + "cost(depth= 1 )= 23.16113281249999\n", + "cost(depth= 1 )= 55.76953125000001\n", + "cost(depth= 2 )= 63.10058593749998\n", + "cost(depth= 2 )= 62.99414062500003\n", + "cost(depth= 2 )= 17.518554687499993\n", + "cost(depth= 2 )= 62.597656249999936\n", + "cost(depth= 3 )= 62.41503906250002\n", + "cost(depth= 3 )= 51.66601562499997\n", + "cost(depth= 3 )= 15.821289062499998\n", + "cost(depth= 3 )= 62.42480468750002\n", + "cost(depth= 4 )= 61.60058593749998\n", + "cost(depth= 4 )= 62.431640625\n", + "cost(depth= 4 )= 16.552734374999996\n", + "cost(depth= 4 )= 61.96582031249998\n", + "cost(depth= 5 )= 63.63476562500003\n", + "cost(depth= 5 )= 65.9521484375001\n", + "cost(depth= 5 )= 15.626953124999998\n", + "cost(depth= 5 )= 59.91308593749997\n", + "cost(depth= 6 )= 49.910156250000014\n", + "cost(depth= 6 )= 64.54394531249993\n", + "cost(depth= 6 )= 15.691406250000004\n", + "cost(depth= 6 )= 61.14257812500004\n", + "cost(depth= 7 )= 64.78710937500004\n", + "cost(depth= 7 )= 64.36132812499999\n", + "cost(depth= 7 )= 15.142578125000007\n", + "cost(depth= 7 )= 62.29882812500008\n", + "cost(depth= 8 )= 62.81738281249992\n", + "cost(depth= 8 )= 63.690429687499986\n", + "cost(depth= 8 )= 16.715820312500004\n", + "cost(depth= 8 )= 61.98242187500003\n", + "cost(depth= 9 )= 63.29296875\n", + "cost(depth= 9 )= 65.6484375\n", + "cost(depth= 9 )= 59.779296875\n", + "cost(depth= 9 )= 61.966796874999986\n", + "cost(depth= 10 )= 61.97265625000004\n", + "cost(depth= 10 )= 61.90820312500002\n", + "cost(depth= 10 )= 61.69433593750001\n", + "cost(depth= 10 )= 63.86816406250002\n" + ] + } + ], + "source": [ + "maxdepth=10\n", + "for i in range(maxdepth):\n", + " for key in optimizers:\n", + " qaoa[key].increase_depth()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Compute and print the optimal solution" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimal solution: 10010100000 \n", + " With cost: 8.0\n" + ] + } + ], + "source": [ + "#These functions are the same for all the different optimizers\n", + "method = \"cobyla\"\n", + "cost_func = qaoa[key].cost\n", + "isFeasible_func = qaoa[method].isFeasible\n", + "\n", + "mincost, solution = computeOptimalSolution(cost_func, isFeasible_func, FR)\n", + "print(\"Optimal solution: \", solution, \"\\n With cost: \", mincost)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Compute and plot approximation ratio" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = pl.figure().gca()\n", + "pl.hlines(1, 1,maxdepth, linestyles=\"solid\", colors=\"black\")\n", + "for key in optimizers:\n", + " pl.plot(np.arange(1,maxdepth+1), mincost/np.array(list(qaoa[key].costval.values())), plotstyle[key], label=key)\n", + "pl.ylim(0,1.01)\n", + "pl.xlim(1-0.05,maxdepth+0.05)\n", + "_=pl.ylabel('appr. ratio')\n", + "_=pl.xlabel('depth')\n", + "_=pl.legend(loc=\"lower right\", framealpha=1)\n", + "#ax.xaxis.set_major_locator(MaxNLocator(integer=True))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Compute and plot the approximation ratio (SECOND WAY)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "hists = {}\n", + "\n", + "for key in optimizers:\n", + " hists[key] = [qaoa[key].hist(qaoa[key].angles_hist['d' + str(1)+'_final'])]\n", + " for i in range(1, maxdepth):\n", + " hists[key].append(qaoa[key].hist(qaoa[key].angles_hist['d'+str(i+1)+'_final']))\n", + "\n", + "apprx_ratio = {} #List of approx ratios for different depths at each key in this dictionary\n", + "\n", + "for key in optimizers:\n", + " apprx_ratio[key] = [computeAverageApproxRatio(hists[key][0], mincost, cost_func)]\n", + " for i in range(1, maxdepth):\n", + " apprx_ratio[key].append(computeAverageApproxRatio(hists[key][i], mincost, cost_func))\n", + "\n", + "pl.hlines(1, 1,maxdepth, linestyles=\"solid\", colors=\"black\")\n", + "for key in optimizers:\n", + " pl.plot(np.arange(1, maxdepth+1), apprx_ratio[key], plotstyle[key], label = key)\n", + "\n", + "pl.ylim(0,1.01)\n", + "pl.xlim(1-.05,maxdepth+.05)\n", + "_=pl.ylabel('appr. ratio')\n", + "_=pl.xlabel('depth')\n", + "_=pl.legend(loc=\"lower right\", framealpha=1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Plotting the values for the parameters found by the different optimizers" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = pl.figure().gca()\n", + "for key in optimizers:\n", + " pl.plot(np.arange(1,maxdepth+1),qaoa[key].angles_hist['d'+str(maxdepth)+'_final'][::2],\"b\"+plotstyle[key],label='gamma '+key)\n", + " pl.plot(np.arange(1,maxdepth+1),qaoa[key].angles_hist['d'+str(maxdepth)+'_final'][1::2],\"g\"+plotstyle[key],label='beta '+key)\n", + "pl.xlim(1-.25,maxdepth+.25)\n", + "_=pl.ylabel('parameter')\n", + "_=pl.xlabel('depth')\n", + "_=pl.legend()\n", + "#ax.xaxis.set_major_loc" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Plotting the number of function evaluations used by each optimizer " + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = pl.figure().gca()\n", + "for key in optimizers:\n", + " _=pl.plot(np.arange(1,maxdepth+1),qaoa[key].num_fval.values(), plotstyle[key], label=key)\n", + "pl.xlim(1-.05,maxdepth+.05)\n", + "_=pl.ylabel('number of function evaluations')\n", + "_=pl.xlabel('depth')\n", + "_=pl.legend()\n", + "#ax.xaxis.set_major_locator(MaxNLocator(integer=True))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Should a test be done with CVaR and different optimizers?" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "environment", + "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": "3.11.4" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/ExactCover/ExactCover 14 5.ipynb b/ExactCover/ExactCover 14 5.ipynb deleted file mode 100644 index 566477e..0000000 --- a/ExactCover/ExactCover 14 5.ipynb +++ /dev/null @@ -1,523 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "id": "e429c1ea", - "metadata": {}, - "outputs": [], - "source": [ - "#run: pip install openquantumcomputing\n", - "import sys\n", - "sys.path.insert(0, '/home/franzf/OpenQuantumComputing/OpenQuantumComputing/')\n", - "from openquantumcomputing.QAOAExactCover import QAOAExactCover" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "a25b06d2", - "metadata": {}, - "outputs": [], - "source": [ - "from qiskit import *\n", - "\n", - "import numpy as np\n", - "from tailassignment_loader import *\n", - "\n", - "import matplotlib.pyplot as pl\n", - "from mpl_toolkits.axes_grid1 import make_axes_locatable\n", - "from qiskit.visualization import *\n", - "\n", - "from tqdm import tqdm" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "5a113cdc", - "metadata": {}, - "outputs": [], - "source": [ - "instances = 14\n", - "flights = 24\n", - "solutions = 5\n", - "\n", - "path_to_examples = \"tailassignment_samples/\"\n", - "\n", - "FR, CR, best_sol = load_FR_CR(path_to_examples + f'FRCR_{instances}_{flights}_{solutions}.txt')" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "ba34f8b6", - "metadata": { - "scrolled": true - }, - "outputs": [], - "source": [ - "params={'FR': FR}\n", - "params['usebarrier']=True\n", - "qaoaec = QAOAExactCover(params=params)" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "id": "8a71822c", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[[0. 1. 1. 0. 1. 0. 1. 0. 0. 1. 1. 1. 0. 1.]\n", - " [1. 0. 0. 1. 0. 1. 0. 1. 1. 0. 0. 0. 1. 0.]\n", - " [0. 1. 1. 0. 1. 0. 1. 0. 0. 1. 1. 1. 0. 1.]\n", - " [1. 0. 0. 1. 0. 1. 0. 1. 1. 0. 0. 0. 1. 0.]\n", - " [0. 1. 1. 0. 1. 0. 1. 0. 0. 1. 1. 1. 0. 1.]\n", - " [1. 0. 0. 1. 0. 1. 0. 1. 1. 0. 0. 0. 1. 0.]\n", - " [1. 0. 0. 1. 0. 1. 0. 1. 0. 1. 0. 1. 1. 0.]\n", - " [0. 1. 1. 0. 1. 0. 1. 0. 1. 0. 1. 0. 0. 1.]\n", - " [1. 0. 1. 0. 0. 1. 0. 1. 0. 1. 0. 1. 0. 0.]\n", - " [0. 1. 0. 1. 1. 0. 1. 0. 1. 0. 1. 0. 1. 1.]\n", - " [0. 1. 0. 1. 0. 1. 0. 1. 0. 1. 0. 1. 0. 0.]\n", - " [1. 0. 1. 0. 1. 0. 1. 0. 1. 0. 1. 0. 1. 1.]\n", - " [0. 1. 0. 1. 1. 0. 1. 0. 0. 1. 0. 1. 0. 0.]\n", - " [1. 0. 1. 0. 0. 1. 0. 1. 1. 0. 1. 0. 1. 1.]\n", - " [0. 1. 0. 1. 0. 1. 1. 0. 0. 1. 0. 1. 1. 0.]\n", - " [1. 0. 1. 0. 1. 0. 0. 1. 1. 0. 1. 0. 0. 1.]\n", - " [1. 0. 1. 0. 0. 1. 1. 0. 0. 1. 0. 0. 1. 1.]\n", - " [0. 1. 0. 1. 1. 0. 0. 1. 1. 0. 1. 1. 0. 0.]\n", - " [0. 1. 1. 0. 0. 1. 1. 0. 0. 1. 0. 1. 1. 1.]\n", - " [1. 0. 0. 1. 1. 0. 0. 1. 1. 0. 1. 0. 0. 0.]\n", - " [0. 1. 1. 0. 0. 1. 1. 0. 1. 0. 0. 1. 1. 1.]\n", - " [1. 0. 0. 1. 1. 0. 0. 1. 0. 1. 1. 0. 0. 0.]\n", - " [0. 1. 0. 1. 0. 1. 1. 0. 1. 0. 0. 1. 1. 0.]\n", - " [1. 0. 1. 0. 1. 0. 0. 1. 0. 1. 1. 0. 0. 1.]]\n", - "solutions:\n", - "00000000110000 0.0\n", - "00000011000000 0.0\n", - "00001100000000 0.0\n", - "00110000000000 0.0\n", - "11000000000000 0.0\n" - ] - } - ], - "source": [ - "import itertools\n", - "print(FR)\n", - "nL=FR.shape[1]\n", - "print(\"solutions:\")\n", - "costs=[]\n", - "for s in [''.join(i) for i in itertools.product('01', repeat =nL)]:\n", - " costs.append(-qaoaec.cost(s))\n", - " if qaoaec.isFeasible(s):\n", - " print(s, -qaoaec.cost(s))" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "id": "24da8ffe", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "max_val=max(costs)\n", - "\n", - "pl.figure(figsize=(25,10))\n", - "_=pl.hist(np.sort(costs), bins=200)\n", - "min_ylim, max_ylim = pl.ylim()\n", - "max_ylim *=1.025\n", - "mean=np.mean(costs)\n", - "pl.axvline(mean, color='k', linestyle='dashed', linewidth=2)\n", - "_=pl.text(mean-1, max_ylim, 'mean = {:.2f}'.format(mean))\n", - "_=pl.xticks(np.arange(0, max_val, step=25))" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "a4fcccfa", - "metadata": {}, - "outputs": [], - "source": [ - "qasm_sim = Aer.get_backend('qasm_simulator')" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "112c880a", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Calculating Energy landscape for depth p=1...\n", - "Calculating Energy landscape done\n" - ] - } - ], - "source": [ - "qaoaec.sample_cost_landscape(qasm_sim, 1024, angles={\"gamma\": [0,np.pi,30], \"beta\": [0,np.pi/2,20]})" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "411cbd19", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "f = pl.figure(figsize=(6, 6), dpi= 80, facecolor='w', edgecolor='k');\n", - "_=pl.xlabel(r'$\\gamma$')\n", - "_=pl.ylabel(r'$\\beta$')\n", - "ax = pl.gca()\n", - "_=pl.title('Expectation value')\n", - "im = ax.imshow(qaoaec.E,interpolation='bicubic',origin='lower',extent=[0,np.pi,0,np.pi/2])\n", - "divider = make_axes_locatable(ax)\n", - "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n", - "_=pl.colorbar(im, cax=cax)" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "becf35c6", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "f = pl.figure(figsize=(6, 6), dpi= 80, facecolor='w', edgecolor='k');\n", - "_=pl.xlabel(r'$\\gamma$')\n", - "_=pl.ylabel(r'$\\beta$')\n", - "ax = pl.gca()\n", - "_=pl.title('Variance')\n", - "im = ax.imshow(qaoaec.Var,interpolation='bicubic',origin='lower',extent=[0,np.pi,0,np.pi/2])\n", - "divider = make_axes_locatable(ax)\n", - "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n", - "_=pl.colorbar(im, cax=cax)" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "9bb7d8d6", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 50%|████████████████████████████████████████████████████████████████████████████████████████ | 1/2 [00:03<00:03, 3.12s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 1 )= 147.66796875000006\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "100%|████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 2/2 [00:11<00:00, 5.91s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 2 )= 195.6679687500001\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n" - ] - } - ], - "source": [ - "maxdepth=2\n", - "for i in tqdm(range(maxdepth)):\n", - " qaoaec.increase_depth(qasm_sim, )" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "ede41c0a", - "metadata": {}, - "outputs": [], - "source": [ - "hist=qaoaec.hist(qaoaec.angles_hist['d1_final'], qasm_sim,1024)\n", - "bins={}\n", - "for key in hist:\n", - " c=-qaoaec.cost(key[::-1])\n", - " bins[c]=bins.get(c,0)\n", - " bins[c]+=hist[key]\n", - "bins=dict(sorted(bins.items()))" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "f44ac51e", - "metadata": {}, - "outputs": [], - "source": [ - "bins_class={}\n", - "for c in costs:\n", - " bins_class[int(c)]=bins_class.get(int(c),0)\n", - " bins_class[int(c)]+=1\n", - "bins_class=dict(sorted(bins_class.items()))" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "id": "696d524e", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "for i in range(1,maxdepth+1):\n", - " hist=qaoaec.hist(qaoaec.angles_hist['d'+str(i)+'_final'], qasm_sim,1024)\n", - " bins={}\n", - " for key in hist:\n", - " c=-qaoaec.cost(key[::-1])\n", - " bins[c]=bins.get(c,0)\n", - " bins[c]+=hist[key]\n", - " bins=dict(sorted(bins.items()))\n", - " max_val=max(costs)\n", - " min_val=min(costs)\n", - "\n", - " pl.figure(i, figsize=(25,10))\n", - " w=np.array(list(bins.values()))\n", - " c,d,_=pl.hist(bins.keys(),bins=200,weights=w, alpha = 0.5, color= 'r')\n", - " pl.clf()\n", - " pl.title(\"depth=\"+str(i))\n", - " a,b,_=pl.hist(np.sort(costs), bins=200, alpha = 0.5, color= 'b')\n", - " w=np.array(list(bins.values()))\n", - " pl.hist(bins.keys(),bins=200,weights=w/max(c)*max(a), alpha = 0.5, color= 'r')\n", - " min_ylim, max_ylim = pl.ylim()\n", - " max_ylim *=1.025\n", - " mean=np.mean(costs)\n", - " pl.axvline(mean, color='k', linestyle='dashed', linewidth=2)\n", - " _=pl.text(mean-1, max_ylim, 'mean = {:.2f}'.format(mean))\n", - " _=pl.xticks(np.arange(min_val, max_val, step=50))\n", - " pl.xlabel(\"cost\")\n", - " pl.savefig(\"animation\"+str(i).zfill(3))" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "6c96a550", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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71apVqyb7HADQXNTUerW3pNxnxGZ3YZmOV9fq/+beqG6JdUt3dE+KUliLIPVMcvg8UqFzfKRanAxEQHPh17CzZcsWDR061Nw+dWlp6tSpWrJkiSRpxYoVMgxDkyZNqvd+u92uFStWaNGiRfJ4POrQoYMefPBBn0tUAHClqqrxSpI5X2bF5m+08O2d8pxsP13L0GAVlB43w86kgW01ZVB7BQfxAEw0fzbDMM7w3Ncri9vtltPplMvlksPh8Hc5AHDRPDW1+ldRuXacHK3ZWeDSV4Vl+u87rtKIXnXrkK39qlgzlmxRpD3EXJzv1IhNh9YRBBs0Oxf6/d0s5uwAAM4s+1Cp/mPlDv2ruEzVtfX/7bq70G2GnfQOsVr70GC1j41QEMEGVxDCDgAEsONVtdpVWPc4hVMrD48fkKoZ13eQJEWFhWhnQd1aYdEtW3w3WpNcd2dUaky4eawIe4g6xkX65XMA/kTYAYAAc7Tco9++t1s5BS7tKymX998GbL44VGr+3CE2Qi/eebXSUpxKiQ4/6wOUgSsZYQcA/MB9olo7893aWVA3x6ZzXKTmDOsiqW4E5u0vC1RzMuXERdlPG7FxqG9qtHmcoCCbRqYl+eMjAM0GYQcAmoBhGPrrP7/W9jyXdha4lXukwmd/3zZOM+yEtQjWwjE9lRwdrt4pTsU7ws50SAAXiLADAA3o24qqk8+Icqu61qufnQwwNptNr2QdVN63x82+KdHhSktxKC3ZqX5to32O85NB7ZuwasDaCDsAcBmy9h/Vtm++1Y6TD8I8Pcw4w1tozk2dzXk0Uwa1U3WtYV6SiokI9VfZwBWFsAMAF6Ck7IRy8l36+nCF7r6ho9n+/Mf79Mm+Iz5928e2VK+Tz4mqrjUUGlIXdu65sVOT1gygDmEHAP5NSdkJfXnI5fNIhZIyj7l/3NVt1OrkqMyQbnGKiQhV7xSneqU41CvZKWd4C3+VDuAMCDsArliGYajAdUI78lwa0i1OYS3qntL97Id7tWzTNz59g2xSp7hIpaU4dby6Vqeevnf6KA+AwETYAXBFMAxDed8eNxfmq3ukglvHKqokSatmXad+J2/p7psara0Hv1WvZKd6pzjUu41TPZIcahnKX5lAc8R/uQAsxzAMfXOsUq0iQuUIq7uktHjjAf363V31+oYE2dQlIUqVVTVm2/gBqRo/ILXJ6gXQuAg7AJo1r9dQ7tEKc35NTr5bOQUulZ2o0bMT++mH/VIkSd2TotQi2KbuiY66271PPlKhW2KUefkKgDURdgA0G7VeQ1U1XoWH1oWTzbnHNH3xZlVU1dbrGxoSpMOnTSoe2D5GOzNGKjQkqMnqBRAYCDsAAlJNrVf7D1eYc2xy8l3aVejWvTd20gPD6xbqa9MqXBVVtbKHBKlnsqNu/ZrkujVsuiREqkXwd8EmJJiQA1ypCDsAAsrhMo/u+Z8t2l3o1olqb739e4rd5s9JzjD939wb1SkugjAD4KwIOwCalKemVnuLy7Xj1B1R+S71THYo8/Y+kqRWLVuYQSfSHvLdiE1K3f92aB1pHstms6lbYpS/PgqAZoKwA6DRGYah/1iVo+15pdpTVKbqWsNn//Hq7+bchAQH6c8/GaDUVuFqHxuhoCBbU5cLwGIIOwAaxPGqWu0qdGtngUs78lwyJP3+x30l1Y3AfJ57THtLyiXVPTPq1POhTo3YnG5w17imLh+AhRF2AFyyv2/N06f7j2hnvlt7S8rkPW3AJrxFsH43ro+CT47MPDC8i4JtNqWlONWmVbj5cEwAaGyEHQDnVHaiWrsK3NqR79LXRyr027FpZlBZnVOoD3eXmH1bR9rV+9QaNilOeQ1Dwarr+/0+yX6pHwAIOwB85OS79On+I9qR79bOkwHndHNu6qwkZ7gk6Yf9UszF+Xq3cSo+ys6IDYCAQ9gBrlCllVXKya8bsbnz2raKOvlYhZVf5OulT3J9+iY7w9QrxaneKU6FBH13i/eYvozWAAh8hB3gCuCqrFZ2Xqm5ON+OfJfyvj1u7r+qbbSu7RgrSRrUMVb53x5X7zZ1l6J6JTvUOtLur9IB4LIRdgCLOVzmUU6+Sz2SHEp0hkmS3v4yX798a2e9vu1iWyotxanw054NNbxngob3TGiyegGgsRF2gGbKMAyVlHm0I+/k4nwFdf9b7K57HtTvxvXWhGvaSpLSUpzq2Dri5KUox8kRG6ec4S38+REAoEkQdoBmwDAMFbpOKDjIpgRH3WjNp/uPavL/21Svr80mdYqLVNBpE4WvattKax8e0lTlAkBAIewAAcYwDOV9e7xufk2By7wr6mhFle4f0kmPjuwuSeqR5FBwkE2d4yJ9FufrkeRQhJ3/tAHgFP5GBPzIMAxVVNUq8mQ4KSk7oVv+a4NKK6vr9Q0Ossl1/Lv2mIhQ7cwYobDT5tsAAOoj7ABNxOs1dOBohXIK3OZdUTn5Ll3fpbX+NLm/JCku0i6v11CL4LoHXKYlO80F+ronRtULNgQdADg/wg7QyAzD0JSXNyv7m1KVeWrq7f+qqMz82Waz6a3Z1ys5Okz2EIIMADQEwg5wmWpqvdp/uMJcvyYn3yWbTXrjvu9JqgswpZXVKvPUyB4SpB5JjpMPway7K6prQpTP8Tq0jvDHxwAAyyLsAJfoj2v3au1XJdpV6NaJaq/PvpAgmzw1tebozKIf9FSEPUSd4yIVEhx0psMBABoJYQc4i6oar/5VXGaO2OwrKderM69V0MmneH9VVKZt35RKkiJCg9Xr5Pya3m0cSkt2qsVpj1Xo3y7GHx8BACA/h50NGzboqaee0tatW1VYWKiVK1dq7Nix5v5p06Zp6dKlPu8ZMWKEVq9ebW4fO3ZMc+bM0TvvvKOgoCCNGzdOzz77rCIjI5vqY8BCPt5Tog92FmlHvkt7ispUXWv47D94rNK8zHRHelvd3DNBaSlOdYiNMEMQACCw+DXsVFRUqG/fvpoxY4Zuv/32M/YZOXKkFi9ebG7b7b7P6Jk8ebIKCwu1Zs0aVVdXa/r06brnnnu0fPnyRq0dzdeJ6lrtLjx1R5Rb80d2M5/9tPXAt3p18yGzrzO8Rd3cmpOjNrGRoea+73Vq3eS1AwAunl/DzqhRozRq1Khz9rHb7UpMTDzjvt27d2v16tX6/PPPNWDAAEnSf//3f2v06NH6/e9/r+RknsgM6cCRCq3bU1K3OF+BS3tLylXr/W7EZmTvRA3tFi9JGtItTl7DqLscleJUm1bhstkYsQGA5izg5+ysW7dO8fHxatWqlW666Sb95je/UWxs3dOZs7KyFB0dbQYdSRo+fLiCgoK0adMm3XbbbWc8psfjkcfjMbfdbnfjfgg0iXJPjXYVuLUj36Uh3eLUKa7uUubnB45p0Tu7fPq2jgytW78m2anUVi3N9gHtYzSgPfNrAMBKAjrsjBw5Urfffrs6dOig/fv36xe/+IVGjRqlrKwsBQcHq6ioSPHx8T7vCQkJUUxMjIqKis563MzMTGVkZDR2+WhEx6tqlX2o1Hz45Y58l3KPVMg4OWATbOtphp2r2kbrpu7x5mhNWopDiY4wRmwA4AoR0GFn4sSJ5s+9e/dWnz591KlTJ61bt07Dhg275OMuWLBA8+bNM7fdbrdSU1Mvq1Y0ntLKKu0scKt1pF3dEuvWpNmR79Kkv35Wr2+SM0xpKU4lR4ebbZ3jo/TytGuarF4AQGAJ6LDz7zp27KjWrVtr3759GjZsmBITE1VSUuLTp6amRseOHTvrPB+pbh7Qv090RmA4VlFl3up9atTm0LHjkqRp32uvRT/oJUnqmexQm1bh6pV8aoG+utepicYAAJzSrMJOXl6ejh49qqSkJEnSoEGDVFpaqq1bt6p//7pnC61du1Zer1fp6en+LBUX4HCZRxWeGrU/eSv3kXKPBvzmwzP2bRvTUo7wFuZ2pD1Enzx6U5PUCQBo3vwadsrLy7Vv3z5zOzc3V9nZ2YqJiVFMTIwyMjI0btw4JSYmav/+/XrkkUfUuXNnjRgxQpLUo0cPjRw5UjNnztSLL76o6upqzZ49WxMnTuROrABT7D5x2uMU6m77LnKf0NBucVo8faAkqXWkXQkOu1qGhpycPFw3atMr2Slnyxbn+Q0AAJyZX8POli1bNHToUHP71DyaqVOn6oUXXtD27du1dOlSlZaWKjk5Wbfccosef/xxn0tQy5Yt0+zZszVs2DBzUcHnnnuuyT8L6hiGoTJPjRxhLcztYX9Yr6+PVNTra7NJFVW1Pm3r5w/lSd4AgAZlMwzDOH83a3O73XI6nXK5XHI4HP4up9kwDEP5pcfNxflOzbNxhLfQ2oeGmP3Gv5ilLQePqXN8pLk4X1qKUz2THYq0N6srqQCAAHKh39980+CCGIbhc6v2Y6t26L3thfq2srpeX9fxah2vqlV4aN0IzdMT+iomIlQtQ/njBgBoenz7oB6v19DBY5UnR2y+ewjmxp/fpBYnn9jtqfbq28pqhQTZ1DUhqu6OqDZ182x6JDl8LkW1OW3RPgAAmhphB6b/3ZqnN7Ye0s58t8o8NfX27y0uV8/kumHCmTd21E8GtVO3xCjZQ5hjAwAIXISdK0it19D+w+XakedSTkHdqM1/TehnjrwUuo7rs6+PSZJCQ4LUI8mh3inf3RHVJeG7J8l3TYjyy2cAAOBiEXYsbnteqf53a5525Lu0u7BMx6t9737akecyw84tvRIV7whT7xSnOsdHmpesAABozgg7FlBV49XekjLzrqgf9W+jvqnRkqSDRyu1NOug2bdlaLB6JTvM50Rd3a6Vua9rQhQjNgAAyyHsNENHyj36YGexeav3V4Vlqqr1mvtTWoWbYefqdq109/Ud1LtN3aWoDq0jFBzEAzABAFcOwk4jqfUa2px7TCVlJxQfFaaBHWIuOmScqK7VV0Vl2pHvUpf4SF3bMVaSVFh6Qr9YucOnryMsxFy/ZsBpozUp0eF67Ps9L/8DAQDQTBF2GsHqnEJlvLNLha4TZluSM0wLx/TUyLSkM76nutar7Xkun9u995aUq9Zbt+bjpIGpZtjpmhipwV3j1DPZobTkustRqTHhPuvgAACAOoSdBrY6p1D3/22b/n1Z6iLXCd3/t2164c6rdUOXOO0qdMswpIEdYiRJlVW1GvfCp/WOFxsRqrSTd0OdYg8J1tIZAxvzYwAAYBmEnQZU6zWU8c6uekFHktk2a/kX5mjNoI6xevWeayVJzvAW6t+ulRxhIXUL9J18JTnDGLEBAOAyEHYa0ObcYz6Xrs7kVNBJdIQpyRnms+9/7/9eo9UGAMCVirDTgErKzh10TvnN2DTdeW27Rq4GAABIEqvGNaD4qLDzd5LUKS7y/J0AAECDIOw0oIEdYurm2Jxlv011d2WdmpQMAAAaH2GnAQUH2bRwTN2aNv8eeE5tLxzTk0X9AABoQoSdBjYyLUkv3Hm1Ev9t8nGiM0wv3Hn1WdfZAQAAjYMJyo1gZFqSbu6ZeNkrKAMAgMtH2GkkwUE2DeoU6+8yAAC44nEZCwAAWBphBwAAWBphBwAAWBphBwAAWBphBwAAWBphBwAAWBphBwAAWBphBwAAWBphBwAAWBphBwAAWBphBwAAWBphBwAAWBphBwAAWBphBwAAWJpfw86GDRs0ZswYJScny2azadWqVea+6upqPfroo+rdu7ciIiKUnJysKVOmqKCgwOcY7du3l81m83k98cQTTfxJAABAoPJr2KmoqFDfvn31/PPP19tXWVmpbdu26Ze//KW2bdumN998U3v27NEPfvCDen1//etfq7Cw0HzNmTOnKcoHAADNQIg/f/moUaM0atSoM+5zOp1as2aNT9sf//hHDRw4UN98843atm1rtkdFRSkxMbFRawUAAM1Ts5qz43K5ZLPZFB0d7dP+xBNPKDY2VldddZWeeuop1dTUnPM4Ho9Hbrfb5wUAAKzJryM7F+PEiRN69NFHNWnSJDkcDrP9Zz/7ma6++mrFxMTo008/1YIFC1RYWKinn376rMfKzMxURkZGU5QNAAD8zGYYhuHvIiTJZrNp5cqVGjt2bL191dXVGjdunPLy8rRu3TqfsPPvXn75Zd17770qLy+X3W4/Yx+PxyOPx2Nuu91upaamyuVynfPYAAAgcLjdbjmdzvN+fwf8yE51dbXGjx+vgwcPau3atecNI+np6aqpqdGBAwfUrVu3M/ax2+1nDUIAAMBaAjrsnAo6e/fu1ccff6zY2Njzvic7O1tBQUGKj49vggoBAECg82vYKS8v1759+8zt3NxcZWdnKyYmRklJSfrRj36kbdu26d1331Vtba2KiookSTExMQoNDVVWVpY2bdqkoUOHKioqSllZWXrwwQd15513qlWrVv76WAAAIID4dc7OunXrNHTo0HrtU6dO1aJFi9ShQ4czvu/jjz/WkCFDtG3bNv30pz/VV199JY/How4dOugnP/mJ5s2bd1GXqS70mh8AAAgcF/r9HTATlP2JsAMAQPNzod/fzWqdHQAAgItF2AEAAJZG2AEAAJZG2AEAAJZG2AEAAJZG2AEAAJZG2AEAAJZG2AEAAJZG2AEAAJZG2AEAAJZG2AEAAJZG2AEAAJZG2AEAAJZG2AEAAJZG2AEAAJZG2AEAAJZG2AEAAJZG2AEAAJZG2AEAAJZG2AEAAJZG2AEAAJZG2AEAAJZG2AEAAJZG2AEAAJZG2AEAAJZG2AEAAJZG2AEAAJZG2AEAAJZG2AEAAJZG2AEAAJZG2AEAAJZG2AEAAJZG2AEAAJbm17CzYcMGjRkzRsnJybLZbFq1apXPfsMw9Ktf/UpJSUkKDw/X8OHDtXfvXp8+x44d0+TJk+VwOBQdHa277rpL5eXlTfgpAABAIPNr2KmoqFDfvn31/PPPn3H/k08+qeeee04vvviiNm3apIiICI0YMUInTpww+0yePFk7d+7UmjVr9O6772rDhg265557muojAACAAGczDMO42De98sormjBhgux2u097VVWVVqxYoSlTplx8ITabVq5cqbFjx0qqG9VJTk7WQw89pIcffliS5HK5lJCQoCVLlmjixInavXu3evbsqc8//1wDBgyQJK1evVqjR49WXl6ekpOTL+h3u91uOZ1OuVwuORyOi64dAAA0vQv9/r6kkZ3p06fL5XLVay8rK9P06dMv5ZD15ObmqqioSMOHDzfbnE6n0tPTlZWVJUnKyspSdHS0GXQkafjw4QoKCtKmTZsapA4AANC8hVzKmwzDkM1mq9eel5cnp9N52UVJUlFRkSQpISHBpz0hIcHcV1RUpPj4eJ/9ISEhiomJMfucicfjkcfjMbfdbneD1AwAAALPRYWdq666SjabTTabTcOGDVNIyHdvr62tVW5urkaOHNngRTa0zMxMZWRk+LsMAADQBC4q7JyaT5Odna0RI0YoMjLS3BcaGqr27dtr3LhxDVJYYmKiJKm4uFhJSUlme3Fxsfr162f2KSkp8XlfTU2Njh07Zr7/TBYsWKB58+aZ2263W6mpqQ1SNwAACCwXFXYWLlwoSWrfvr0mTpxYb4JyQ+rQoYMSExP10UcfmeHG7XZr06ZNuv/++yVJgwYNUmlpqbZu3ar+/ftLktauXSuv16v09PSzHttutzdq7QAAIHBc0pydm266SYcPH1abNm0kSZs3b9by5cvVs2fPi7rtu7y8XPv27TO3c3NzlZ2drZiYGLVt21Zz587Vb37zG3Xp0kUdOnTQL3/5SyUnJ5sjTD169NDIkSM1c+ZMvfjii6qurtbs2bM1ceLEC74TCwAAWJxxCa6//nrjlVdeMQzDMAoLC42oqChj0KBBRuvWrY2MjIwLPs7HH39sSKr3mjp1qmEYhuH1eo1f/vKXRkJCgmG3241hw4YZe/bs8TnG0aNHjUmTJhmRkZGGw+Ewpk+fbpSVlV3U53G5XIYkw+VyXdT7AACA/1zo9/clrbPTqlUrffbZZ+rWrZuee+45vfbaa9q4caM++OAD3Xffffr6668bNJA1NtbZAQCg+WnUdXaqq6vNOS8ffvihfvCDH0iSunfvrsLCwks5JAAAQKO4pLDTq1cvvfjii/rnP/+pNWvWmLebFxQUKDY2tkELBAAAuByXFHZ+97vf6c9//rOGDBmiSZMmqW/fvpKkt99+WwMHDmzQAgEAAC7HJc3ZkeoWEXS73WrVqpXZduDAAbVs2bLeqsaBjjk7AAA0Pxf6/X1Jt55LUnBwsGpqavTJJ59Ikrp166b27dtf6uEAAAAaxSVdxqqoqNCMGTOUlJSkG2+8UTfeeKOSk5N11113qbKysqFrBAAAuGSXFHbmzZun9evX65133lFpaalKS0v11ltvaf369XrooYcaukYAAIBLdklzdlq3bq2///3vGjJkiE/7xx9/rPHjx+vw4cMNVV+TYM4OAADNT6Ous1NZWamEhIR67fHx8VzGAgAAAeWSws6gQYO0cOFCnThxwmw7fvy4MjIyNGjQoAYrDgAA4HJd0t1YzzzzjEaOHKk2bdqYa+x8+eWXstvt+uCDDxq0QAAAgMtxyevsVFZWatmyZfrqq68k1T2BfPLkyQoPD2/QApsCc3YAAGh+GnWdnczMTCUkJGjmzJk+7S+//LIOHz6sRx999FIOCwAA0OAuac7On//8Z3Xv3r1e+6lnZgEAAASKSwo7RUVFSkpKqtceFxfHU88BAEBAuaSwk5qaqo0bN9Zr37hxo5KTky+7KAAAgIZySXN2Zs6cqblz56q6ulo33XSTJOmjjz7SI488wgrKAAAgoFxS2Jk/f76OHj2qn/70p6qqqpIkhYWF6dFHH9WCBQsatEAAAIDLccm3nktSeXm5du/erfDwcHXp0kV2u70ha2sy3HoOAEDz06i3np8SGRmpa6655nIOAQAA0KguaYIyAABAc0HYAQAAlkbYAQAAlkbYAQAAlkbYAQAAlkbYAQAAlkbYAQAAlkbYAQAAlkbYAQAAlkbYAQAAlkbYAQAAlkbYAQAAlkbYAQAAlkbYAQAAlhbwYad9+/ay2Wz1XrNmzZIkDRkypN6+++67z89VAwCAQBHi7wLO5/PPP1dtba25nZOTo5tvvlk//vGPzbaZM2fq17/+tbndsmXLJq0RAAAEroAPO3FxcT7bTzzxhDp16qTBgwebbS1btlRiYmJTlwYAAJqBgL+Mdbqqqir97W9/04wZM2Sz2cz2ZcuWqXXr1kpLS9OCBQtUWVl5zuN4PB653W6fFwAAsKaAH9k53apVq1RaWqpp06aZbXfccYfatWun5ORkbd++XY8++qj27NmjN99886zHyczMVEZGRhNUDAAA/M1mGIbh7yIu1IgRIxQaGqp33nnnrH3Wrl2rYcOGad++ferUqdMZ+3g8Hnk8HnPb7XYrNTVVLpdLDoejwesGAAANz+12y+l0nvf7u9mM7Bw8eFAffvjhOUdsJCk9PV2Szhl27Ha77HZ7g9cIAAACT7OZs7N48WLFx8fr1ltvPWe/7OxsSVJSUlITVAUAAAJdsxjZ8Xq9Wrx4saZOnaqQkO9K3r9/v5YvX67Ro0crNjZW27dv14MPPqgbb7xRffr08WPFAAAgUDSLsPPhhx/qm2++0YwZM3zaQ0ND9eGHH+qZZ55RRUWFUlNTNW7cOD322GN+qhQAAASaZjVBubFc6AQnAAAQOC70+7vZzNkBAAC4FIQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaYQdAABgaQEddhYtWiSbzebz6t69u7n/xIkTmjVrlmJjYxUZGalx48apuLjYjxUDAIBAE9BhR5J69eqlwsJC8/XJJ5+Y+x588EG98847euONN7R+/XoVFBTo9ttv92O1AAAg0IT4u4DzCQkJUWJiYr12l8ull156ScuXL9dNN90kSVq8eLF69Oihzz77TNdee21TlwoAAAJQwI/s7N27V8nJyerYsaMmT56sb775RpK0detWVVdXa/jw4Wbf7t27q23btsrKyjrnMT0ej9xut88LAABYU0CHnfT0dC1ZskSrV6/WCy+8oNzcXN1www0qKytTUVGRQkNDFR0d7fOehIQEFRUVnfO4mZmZcjqd5is1NbURPwUAAPCngL6MNWrUKPPnPn36KD09Xe3atdPrr7+u8PDwSz7uggULNG/ePHPb7XYTeAAAsKiAHtn5d9HR0eratav27dunxMREVVVVqbS01KdPcXHxGef4nM5ut8vhcPi8AACANTWrsFNeXq79+/crKSlJ/fv3V4sWLfTRRx+Z+/fs2aNvvvlGgwYN8mOVAAAgkAT0ZayHH35YY8aMUbt27VRQUKCFCxcqODhYkyZNktPp1F133aV58+YpJiZGDodDc+bM0aBBg7gTCwAAmAI67OTl5WnSpEk6evSo4uLidP311+uzzz5TXFycJOm//uu/FBQUpHHjxsnj8WjEiBH605/+5OeqAQBAILEZhmH4uwh/c7vdcjqdcrlczN8BAKCZuNDv72Y1ZwcAAOBiEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClEXYAAIClBXTYyczM1DXXXKOoqCjFx8dr7Nix2rNnj0+fIUOGyGaz+bzuu+8+P1UMAAACTUCHnfXr12vWrFn67LPPtGbNGlVXV+uWW25RRUWFT7+ZM2eqsLDQfD355JN+qhgAAASaEH8XcC6rV6/22V6yZIni4+O1detW3XjjjWZ7y5YtlZiY2NTlAQCAZiCgR3b+ncvlkiTFxMT4tC9btkytW7dWWlqaFixYoMrKSn+UBwAAAlBAj+yczuv1au7cubruuuuUlpZmtt9xxx1q166dkpOTtX37dj366KPas2eP3nzzzbMey+PxyOPxmNtut7tRawcAAP7TbMLOrFmzlJOTo08++cSn/Z577jF/7t27t5KSkjRs2DDt379fnTp1OuOxMjMzlZGR0aj1AgCAwNAsLmPNnj1b7777rj7++GO1adPmnH3T09MlSfv27TtrnwULFsjlcpmvQ4cONWi9AAAgcAT0yI5hGJozZ45WrlypdevWqUOHDud9T3Z2tiQpKSnprH3sdrvsdntDlQkAAAJYQIedWbNmafny5XrrrbcUFRWloqIiSZLT6VR4eLj279+v5cuXa/To0YqNjdX27dv14IMP6sYbb1SfPn38XD0AAAgENsMwDH8XcTY2m+2M7YsXL9a0adN06NAh3XnnncrJyVFFRYVSU1N122236bHHHpPD4bjg3+N2u+V0OuVyuS7qfQAAwH8u9Ps7oEd2zpfDUlNTtX79+iaqBgAANEfNYoIyAADApSLsAAAASyPsAAAASyPsAAAASyPsAAAASyPsAAAASyPsAAAASyPsAAAASyPsAAAASyPsAAAASyPsAAAASyPsAAAASyPsAAAASyPsAAAASyPsAAAASyPsAAAASyPsAAAASyPsAAAASyPsAAAASyPsAAAASyPsAAAASyPsAAAASyPsAAAASyPsAAAASyPsAAAASyPsAAAASyPsAAAASyPsAAAASyPsAAAASyPsAAAASyPsAAAASyPsAAAASyPsAAAASyPsAAAAS7NM2Hn++efVvn17hYWFKT09XZs3b/Z3SQAAIABYIuy89tprmjdvnhYuXKht27apb9++GjFihEpKSvxdGgAA8DObYRiGv4u4XOnp6brmmmv0xz/+UZLk9XqVmpqqOXPm6Oc///l53+92u+V0OuVyueRwOBq0toqKigY9HgAAzU1ERESjHPdCv79DGuW3N6Gqqipt3bpVCxYsMNuCgoI0fPhwZWVlnfE9Ho9HHo/H3Ha73Y1WX2RkZKMdGwCA5sDf4yrN/jLWkSNHVFtbq4SEBJ/2hIQEFRUVnfE9mZmZcjqd5is1NbUpSgUAAH7Q7Ed2LsWCBQs0b948c9vtdjda4CkvL2+U4wIAgAvT7MNO69atFRwcrOLiYp/24uJiJSYmnvE9drtddru9KcprtOuUAADgwjT7y1ihoaHq37+/PvroI7PN6/Xqo48+0qBBg/xYGQAACATNfmRHkubNm6epU6dqwIABGjhwoJ555hlVVFRo+vTp/i4NAAD4mSXCzoQJE3T48GH96le/UlFRkfr166fVq1fXm7QMAACuPJZYZ+dyNeY6OwAAoHFc6Pd3s5+zAwAAcC6EHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmEHQAAYGmWeFzE5Tq1iLTb7fZzJQAA4EKd+t4+38MgCDuSysrKJEmpqal+rgQAAFyssrIyOZ3Os+7n2ViSvF6vCgoKFBUVJZvN1mDHdbvdSk1N1aFDh3jmViPiPDcdznXT4Dw3Dc5z02jM82wYhsrKypScnKygoLPPzGFkR1JQUJDatGnTaMd3OBz8h9QEOM9Nh3PdNDjPTYPz3DQa6zyfa0TnFCYoAwAASyPsAAAASyPsNCK73a6FCxfKbrf7uxRL4zw3Hc510+A8Nw3Oc9MIhPPMBGUAAGBpjOwAAABLI+wAAABLI+wAAABLI+wAAABLI+xchg0bNmjMmDFKTk6WzWbTqlWrzvuedevW6eqrr5bdblfnzp21ZMmSRq+zubvY8/zmm2/q5ptvVlxcnBwOhwYNGqT/+7//a5pim7FL+fN8ysaNGxUSEqJ+/fo1Wn1WcSnn2ePx6D/+4z/Url072e12tW/fXi+//HLjF9uMXcp5XrZsmfr27auWLVsqKSlJM2bM0NGjRxu/2GYsMzNT11xzjaKiohQfH6+xY8dqz549533fG2+8oe7duyssLEy9e/fW+++/36h1EnYuQ0VFhfr27avnn3/+gvrn5ubq1ltv1dChQ5Wdna25c+fq7rvv5ov4PC72PG/YsEE333yz3n//fW3dulVDhw7VmDFj9MUXXzRypc3bxZ7nU0pLSzVlyhQNGzaskSqzlks5z+PHj9dHH32kl156SXv27NGrr76qbt26NWKVzd/FnueNGzdqypQpuuuuu7Rz50698cYb2rx5s2bOnNnIlTZv69ev16xZs/TZZ59pzZo1qq6u1i233KKKioqzvufTTz/VpEmTdNddd+mLL77Q2LFjNXbsWOXk5DReoQYahCRj5cqV5+zzyCOPGL169fJpmzBhgjFixIhGrMxaLuQ8n0nPnj2NjIyMhi/Ioi7mPE+YMMF47LHHjIULFxp9+/Zt1Lqs5kLO8z/+8Q/D6XQaR48ebZqiLOhCzvNTTz1ldOzY0aftueeeM1JSUhqxMuspKSkxJBnr168/a5/x48cbt956q09benq6ce+99zZaXYzsNKGsrCwNHz7cp23EiBHKysryU0VXBq/Xq7KyMsXExPi7FMtZvHixvv76ay1cuNDfpVjW22+/rQEDBujJJ59USkqKunbtqocffljHjx/3d2mWMmjQIB06dEjvv/++DMNQcXGx/v73v2v06NH+Lq1ZcblcknTOv2/98V3Ig0CbUFFRkRISEnzaEhIS5Ha7dfz4cYWHh/upMmv7/e9/r/Lyco0fP97fpVjK3r179fOf/1z//Oc/FRLCXyWN5euvv9Ynn3yisLAwrVy5UkeOHNFPf/pTHT16VIsXL/Z3eZZx3XXXadmyZZowYYJOnDihmpoajRkz5qIv617JvF6v5s6dq+uuu05paWln7Xe278KioqJGq42RHVja8uXLlZGRoddff13x8fH+LscyamtrdccddygjI0Ndu3b1dzmW5vV6ZbPZtGzZMg0cOFCjR4/W008/raVLlzK604B27dqlBx54QL/61a+0detWrV69WgcOHNB9993n79KajVmzZiknJ0crVqzwdyn18M+xJpSYmKji4mKftuLiYjkcDkZ1GsGKFSt0991364033qg3ZIrLU1ZWpi1btuiLL77Q7NmzJdV9KRuGoZCQEH3wwQe66aab/FylNSQlJSklJUVOp9Ns69GjhwzDUF5enrp06eLH6qwjMzNT1113nebPny9J6tOnjyIiInTDDTfoN7/5jZKSkvxcYWCbPXu23n33XW3YsEFt2rQ5Z9+zfRcmJiY2Wn2M7DShQYMG6aOPPvJpW7NmjQYNGuSniqzr1Vdf1fTp0/Xqq6/q1ltv9Xc5luNwOLRjxw5lZ2ebr/vuu0/dunVTdna20tPT/V2iZVx33XUqKChQeXm52favf/1LQUFB5/1SwYWrrKxUUJDvV2JwcLAkyeARkmdlGIZmz56tlStXau3aterQocN53+OP70JGdi5DeXm59u3bZ27n5uYqOztbMTExatu2rRYsWKD8/Hy98sorkqT77rtPf/zjH/XII49oxowZWrt2rV5//XW99957/voIzcLFnufly5dr6tSpevbZZ5Wenm5eBw4PD/f51zF8Xcx5DgoKqndNPj4+XmFhYee8Vo+L//N8xx136PHHH9f06dOVkZGhI0eOaP78+ZoxYwYjwudwsed5zJgxmjlzpl544QWNGDFChYWFmjt3rgYOHKjk5GR/fYyAN2vWLC1fvlxvvfWWoqKizL9vnU6n+edzypQpSklJUWZmpiTpgQce0ODBg/WHP/xBt956q1asWKEtW7boL3/5S+MV2mj3eV0BPv74Y0NSvdfUqVMNwzCMqVOnGoMHD673nn79+hmhoaFGx44djcWLFzd53c3NxZ7nwYMHn7M/zuxS/jyfjlvPL8ylnOfdu3cbw4cPN8LDw402bdoY8+bNMyorK5u++GbkUs7zc889Z/Ts2dMIDw83kpKSjMmTJxt5eXlNX3wzcqZzLMnnu23w4MH1/v59/fXXja5duxqhoaFGr169jPfee69R67SdLBYAAMCSmLMDAAAsjbADAAAsjbADAAAsjbADAAAsjbADAAAsjbADAAAsjbADAAAsjbADoNkYMmSI5s6d2+i/x2azadWqVY3+ewA0DcIOgCvWokWL1K9fP3+XAaCREXYAAIClEXYABKSKigpNmTJFkZGRSkpK0h/+8Aef/R6PRw8//LBSUlIUERGh9PR0rVu3zty/ZMkSRUdHa9WqVerSpYvCwsI0YsQIHTp0yNyfkZGhL7/8UjabTTabTUuWLDHff+TIEd12221q2bKlunTporfffrspPjaARkDYARCQ5s+fr/Xr1+utt97SBx98oHXr1mnbtm3m/tmzZysrK0srVqzQ9u3b9eMf/1gjR47U3r17zT6VlZX67W9/q1deeUUbN25UaWmpJk6cKEmaMGGCHnroIfXq1UuFhYUqLCzUhAkTzPdmZGRo/Pjx2r59u0aPHq3Jkyfr2LFjTXcCADScRn3MKABcgrKyMiM0NNR4/fXXzbajR48a4eHhxgMPPGAcPHjQCA4ONvLz833eN2zYMGPBggWGYRjG4sWLDUnGZ599Zu7fvXu3IcnYtGmTYRhnf1K7JOOxxx4zt8vLyw1Jxj/+8Y+G/JgAmkiIf6MWANS3f/9+VVVVKT093WyLiYlRt27dJEk7duxQbW2tunbt6vM+j8ej2NhYczskJETXXHONud29e3dFR0dr9+7dGjhw4Dlr6NOnj/lzRESEHA6HSkpKLutzAfAPwg6AZqe8vFzBwcHaunWrgoODffZFRkY2yO9o0aKFz7bNZpPX622QYwNoWszZARBwOnXqpBYtWmjTpk1m27fffqt//etfkqSrrrpKtbW1KikpUefOnX1eiYmJ5ntqamq0ZcsWc3vPnj0qLS1Vjx49JEmhoaGqra1tok8FwF8IOwACTmRkpO666y7Nnz9fa9euVU5OjqZNm6agoLq/srp27arJkydrypQpevPNN5Wbm6vNmzcrMzNT7733nnmcFi1aaM6cOdq0aZO2bt2qadOm6dprrzUvYbVv3165ubnKzs7WkSNH5PF4/PJ5ATQuwg6AgPTUU0/phhtu0JgxYzR8+HBdf/316t+/v7l/8eLFmjJlih566CF169ZNY8eO1eeff662bduafVq2bKlHH31Ud9xxh6677jpFRkbqtddeM/ePGzdOI0eO1NChQxUXF6dXX321ST8jgKZhMwzD8HcRANDQlixZorlz56q0tNTfpQDwM0Z2AACApRF2AACApXEZCwAAWBojOwAAwNIIOwAAwNIIOwAAwNIIOwAAwNIIOwAAwNIIOwAAwNIIOwAAwNIIOwAAwNIIOwAAwNL+PwXhYF7marZeAAAAAElFTkSuQmCC\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "pl.plot(np.arange(1,maxdepth+1), np.array(list(qaoaec.costval.values())),'o--')\n", - "pl.hlines(0, 1,maxdepth, linestyles=\"solid\", colors=\"black\")\n", - "# pl.ylim(-0.01,1)\n", - "_=pl.title('Cost')\n", - "_=pl.ylabel('cost')\n", - "_=pl.xlabel('depth')" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "id": "3d62f3ba", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "100%|████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 2/2 [00:00<00:00, 5.97it/s]\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "sp=np.zeros(maxdepth)\n", - "for i in tqdm(range(maxdepth)):\n", - " sp[i]=qaoaec.successProbability(qaoaec.angles_hist['d'+str(i+1)+'_final'], qasm_sim,1024)\n", - "pl.plot(np.arange(1,maxdepth+1), sp,'o--')\n", - "pl.hlines(1, 1,maxdepth, linestyles=\"solid\", colors=\"black\")\n", - "pl.ylim(0,1.01)\n", - "_=pl.title('Success rate')\n", - "_=pl.ylabel('success probability')\n", - "_=pl.xlabel('depth')" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "id": "1ed37e8a", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "pl.plot(np.arange(1,maxdepth+1),qaoaec.angles_hist['d'+str(maxdepth)+'_final'][::2],\"x-\",label='gamma')\n", - "pl.plot(np.arange(1,maxdepth+1),qaoaec.angles_hist['d'+str(maxdepth)+'_final'][1::2],\"o-\",label='beta')\n", - "\n", - "_=pl.title('Parameters')\n", - "_=pl.ylabel('parameter')\n", - "_=pl.xlabel('depth')\n", - "_=pl.legend()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "b781c7c4", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "291bca4d", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "bde1dbfc", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "ca8f3a6d", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "a7049786", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.3" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/ExactCover/ExactCover 4 2.ipynb b/ExactCover/ExactCover 4 2.ipynb deleted file mode 100644 index 6865569..0000000 --- a/ExactCover/ExactCover 4 2.ipynb +++ /dev/null @@ -1,735 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "04beb305", - "metadata": {}, - "source": [ - "run ```pip install openquantumcomputing``` as a user or ```pip install -e .``` in the [OpenQuantumComputing](https://github.com/OpenQuantumComputing/OpenQuantumComputing) folder as developer" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "a25b06d2", - "metadata": {}, - "outputs": [], - "source": [ - "from openquantumcomputing.QAOAExactCover import QAOAExactCover\n", - "from tailassignment_loader import *\n", - "\n", - "from qiskit import *\n", - "import numpy as np\n", - "import matplotlib.pyplot as pl\n", - "from mpl_toolkits.axes_grid1 import make_axes_locatable\n", - "from qiskit.visualization import *\n", - "from tqdm import tqdm" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "5a113cdc", - "metadata": {}, - "outputs": [], - "source": [ - "instances = 4\n", - "flights = 3\n", - "solutions = 2\n", - "\n", - "path_to_examples = \"tailassignment_samples/\"\n", - "\n", - "FR, CR, best_sol = load_FR_CR(path_to_examples + f'FRCR_{instances}_{flights}_{solutions}.txt')" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "ba34f8b6", - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "params={'FR': FR}\n", - "params['CR']= CR\n", - "params['usebarrier']=True\n", - "qaoaec = QAOAExactCover(params=params)\n", - "qaoaec.createCircuit(np.array((np.pi,2*np.pi)),1).draw(output='mpl')" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "id": "218ddc52", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[[1. 0. 1. 0.]\n", - " [1. 0. 0. 1.]\n", - " [0. 1. 0. 0.]]\n", - "[0.5 0.1 0.1 0.1]\n", - "solutions:\n", - "0111 0.30000000000000004\n", - "1100 0.6\n" - ] - } - ], - "source": [ - "import itertools\n", - "print(FR)\n", - "print(CR)\n", - "nL=FR.shape[1]\n", - "print(\"solutions:\")\n", - "costs=[]\n", - "for s in [''.join(i) for i in itertools.product('01', repeat =nL)]:\n", - " costs.append(-qaoaec.cost(s))\n", - " if qaoaec.isFeasible(s):\n", - " print(s, -qaoaec.cost(s))" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "955d4d06", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "max_val=max(costs)\n", - "\n", - "pl.figure(figsize=(25,10))\n", - "a=pl.hist(np.sort(costs), bins=100)\n", - "min_ylim, max_ylim = pl.ylim()\n", - "max_ylim *=1.025\n", - "mean=np.mean(costs)\n", - "pl.axvline(mean, color='k', linestyle='dashed', linewidth=2)\n", - "a=pl.text(mean-1, max_ylim, 'mean = {:.2f}'.format(mean))\n", - "a=pl.xticks(np.arange(0, max_val, step=1))" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "a4fcccfa", - "metadata": {}, - "outputs": [], - "source": [ - "qasm_sim = Aer.get_backend('qasm_simulator')" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "383c5700", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Calculating Energy landscape for depth p=1...\n", - "Calculating Energy landscape done\n" - ] - } - ], - "source": [ - "qaoaec.sample_cost_landscape(qasm_sim, 1024, angles={\"gamma\": [0,2*np.pi,30], \"beta\": [0,np.pi,20]})" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "fbd00aaf", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "f = pl.figure(figsize=(6, 6), dpi= 80, facecolor='w', edgecolor='k');\n", - "_=pl.xlabel(r'$\\gamma$')\n", - "_=pl.ylabel(r'$\\beta$')\n", - "ax = pl.gca()\n", - "_=pl.title('Expectation value')\n", - "im = ax.imshow(qaoaec.E,interpolation='bicubic',origin='lower',extent=[0,2*np.pi,0,np.pi])\n", - "divider = make_axes_locatable(ax)\n", - "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n", - "_=pl.colorbar(im, cax=cax)" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "4b7a095d", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "f = pl.figure(figsize=(6, 6), dpi= 80, facecolor='w', edgecolor='k');\n", - "_=pl.xlabel(r'$\\gamma$')\n", - "_=pl.ylabel(r'$\\beta$')\n", - "ax = pl.gca()\n", - "_=pl.title('Variance')\n", - "im = ax.imshow(qaoaec.Var,interpolation='bicubic',origin='lower',extent=[0,2*np.pi,0,np.pi])\n", - "divider = make_axes_locatable(ax)\n", - "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n", - "_=pl.colorbar(im, cax=cax)" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "764615ec", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 10%|█████████████████▌ | 1/10 [00:00<00:04, 2.20it/s]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 1 )= 1.0079101562500001\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\r", - " 20%|███████████████████████████████████ | 2/10 [00:01<00:06, 1.27it/s]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 2 )= 0.6412109375\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\r", - " 30%|████████████████████████████████████████████████████▌ | 3/10 [00:03<00:08, 1.24s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 3 )= 0.6564453124999999\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\r", - " 40%|██████████████████████████████████████████████████████████████████████ | 4/10 [00:05<00:10, 1.75s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 4 )= 0.6349609375000003\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\r", - " 50%|███████████████████████████████████████████████████████████████████████████████████████▌ | 5/10 [00:10<00:14, 2.91s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 5 )= 0.68896484375\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\r", - " 60%|█████████████████████████████████████████████████████████████████████████████████████████████████████████ | 6/10 [00:17<00:17, 4.33s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 6 )= 0.4034179687500001\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\r", - " 70%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████▍ | 7/10 [00:30<00:21, 7.21s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 7 )= 0.53681640625\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\r", - " 80%|████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████ | 8/10 [00:42<00:16, 8.43s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 8 )= 0.66552734375\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\r", - " 90%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████▌ | 9/10 [00:55<00:10, 10.02s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 9 )= 0.47822265625000016\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "100%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 10/10 [01:10<00:00, 7.10s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 10 )= 0.33779296875000003\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n" - ] - } - ], - "source": [ - "maxdepth=10\n", - "for i in tqdm(range(maxdepth)):\n", - " qaoaec.increase_depth(qasm_sim, 1024)" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "b548a68b", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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16tVTy5Yt9cMPP2jHjh3ePk2bNlWzZs20atUq7du3z9veokULJSQkaOnSpTp06JC3/dJLL1XNmjU1b948nw0gMTFRlStX1pw5c3xquPrqq3X48GEtWrTI2xYSEqJu3bopPT1dK1as8LZHRkbqiiuuUGpqqtatW+dtj4uLU9u2bZWcnKzNmzd72xkTY2JMjIkxMaayMabrFGil/X1as2ZNieoodxeauFwuNWjQQKmpqdq6dasaNGhQouctWLBAXbp00XnnnacffvjB296kSRMlJycrLy/P+8nFIy8vT2FhYbrgggv0/fffF/m6Re0prFu3rtLT072hsmJ8EmNMjIkxMSbGxJhOvzHd+c/A7ymcPLx0v08HDhxQTEzMcS80KXd7Cr/88kvt2LFDnTp1KnEglKROnTqpUaNGWr9+vTIzM72T5tlDmJGRoZiYGJ/neA4FF7UX0SM8PFzh4eGF2kNDQxUa6rshBgcHF9qzKf3xw1HS9qNf92Tag4KCFBRU+JTT4tqLq50xMaYTbWdMjEliTMXVeKLtjOnExxQIgfo+FXq/EvUqQ453gcmxxMbGSpJ+++03b9uxzhs81vmGAAAAZUm5CoX79+/Xxx9/rOjoaPXo0eOEnpudna2NGzcqIiLCGw4lqUOHDpLc5wAebe7cuT59AAAAyqpyFQqnT5+u3Nxc3XTTTUUesj106JC2bNlSqP3w4cMaMmSIDh06pD59+vjsZu3Tp4+ioqI0ceJEpaWledvT0tI0adIkxcbGnnAABQAAON2Uq3MKX331VUnFHzrev3+/mjVrplatWunss89WrVq1tHfvXn355ZdKS0vT+eefrwkTJvg8p0aNGpo0aZIGDBigCy+8UH379pXkXuZu//79mjlzZolXMwEAADhdlZtQuGrVKm3YsEGtW7fW+eefX2Sf6Oho3XnnnVq1apXmzJmjX3/9VZUrV9bZZ5+t4cOHa9iwYapcuXKh5910002KjY3VuHHjNHXqVDmOo4suukiPPPKIOnfuXNpDAwAAKHXl7pY0pzvWPgYA4PTB2sd/KFfnFAIAAODkEAoBAABAKAQAAAChEAAAACIUAgAAQIRCAAAAiFAIAAAAEQoBAAAgQiEAAABEKAQAAIAIhQAAABChEAAAACIUAgAAQIRCAAAAiFAIAAAAEQoBAAAgQiEAAABEKAQAAIAIhQAAABChEAAAACIUAgAAQIRCAAAAiFAIAAAAEQoBAAAgQiEAAABEKAQAAIAIhQAAABChEAAAACIUAgAAQIRCAAAAiFAIAAAAEQoBAAAgQiEAAABEKAQAAIAIhQAAABChEAAAACIUAgAAQIRCAAAAiFAIAAAAEQoBAAAgQiEAAABEKAQAAIAIhQAAABChEAAAACIUAgAAQIRCAAAAiFAIAAAAEQoBAAAgQiEAAABEKAQAAID+RChcunSpduzYccw+qampWrp06cm+BQAAAPzkpENhYmKipk2bdsw+b7zxhhITE0/2LQAAAOAnJx0Kzey4fVwulxzHOdm3AAAAgJ+U6jmFycnJioqKKs23AAAAwCkQciKdb7nlFp+vZ82apZSUlEL9CgoKvOcTXnXVVX+qQAAAAJS+EwqFR55D6DiO1q1bp3Xr1hXZ13EctWrVSv/4xz/+TH0AAADwgxMKhdu3b5fkPp+wYcOGGjFihO6+++5C/YKDg1WjRg1FREScmioBAABQqk4oFCYkJHj/P3XqVLVs2dKnDQAAAGXTCYXCIw0cOPBU1gEAAIAAOulQ6LFq1SqtXr1aBw8eVEFBQaHHHcfRqFGj/uzbAAAAoBSddCg8cOCArr/+ei1btuyY9ywkFAIAAJz+TjoUjhw5Ul9//bU6duyogQMHqk6dOgoJ+dM7HgEAABAAJ53iZs+erdatW2vBggWsWgIAAFDGnfSKJocPH1b79u0JhAAAAOXASYfCFi1aFLmaCQAAAMqekw6Fjz32mD755BOtXLnyVNYDAACAADjpcwr37Nmjbt26qUOHDurfv78uvPBCVatWrci+N99880kXCAAAgNLn2LHuJ3MMQUFBchzH53Y0R59faGZyHKfI+xdWVJmZmYqKilJGRkaxIRoAAPjHkBcCXYH0yojSff2SZo+T3lM4derUk30qAAAATjMscwcAAICTv9AEAAAA5cdJ7yncsWNHifvWq1fvZN8GAAAAfnDSobB+/folunG14zjKz88/2bcBAACAH5x0KLz55puLDIUZGRn6/vvvtX37dnXo0EH169f/M/UBAADAD046FE6bNq3Yx8xMzz33nJ555hm9+uqrJ/sWAAAA8JNSudDEcRzde++9Ovfcc3XfffeVxlsAAADgFCrVq48vvvhiLVy4sDTfAgAAAKdAqYbCrVu3cpEJAABAGXDKQ6HL5VJqaqrGjh2rjz/+WJdeeumpfotCPFdCF/WvY8eOhfrn5OTo8ccfV+PGjVWpUiXFx8fr9ttv1y+//FLse7z55ptq3bq1IiIiVKNGDV1zzTX67rvvSnFUAAAA/nPSF5p41j4ujpmpRo0aeu655072LU5IVFSURowYUaj96KufXS6XrrvuOs2dO1eXXHKJevbsqeTkZE2ZMkULFizQypUrFRcX5/OcJ598Uo888ogSEhL017/+VYcOHdI777yjtm3basGCBWrXrl0pjgwAAKD0OWZmJ/PEjh07FhkKg4KCVKNGDbVq1UqDBw9WzZo1/3SRx+MJfikpKcftO3XqVN1yyy3q16+f3nzzTe8YXn75Zf3f//2fbr/9dk2ePNnbPzk5Weecc44aNmyoVatWKSoqSpK0bt06XXLJJWrYsKE2bNigoKCS7XQt6aLUAACg9A15IdAVSK+MKN3XL2n2OOk9hYsXLz7ZpwbUK6+8Ikl66qmnfELtHXfcoQkTJujNN9/UCy+8oMqVK0tyh8j8/Hw9/PDD3kAoSS1atFC/fv00bdo0ff3112rfvr1/BwIAAHAKlZu1j3NycjRt2jSNGzdOkyZN0jfffFOoz++//65vvvlGTZs2VUJCgs9jjuOoS5cuys7O1rfffutt94TfpKSkQq/XtWtXSdKSJUtO4UgAAAD876T3FB5p2bJlWrdunTIzM1WtWjW1aNHC7+fZ7dmzR4MHD/Zpa9Wqld5++201atRIkvtqaJfLpcaNGxf5Gp725ORkXX755d7/V61aVbVq1Tpm/+Lk5OQoJyfH+3VmZqYkKS8vT3l5eZLch9yDg4NVUFAgl8vl7etpz8/P15FH+YODgxUUFFRsu+d1PUJC3N/mo68EL649NDRULpdLBQUF3jbHcRQSElJse3G1MybGxJgYE2NiTKf3mEIVaP74PpXEnwqFy5cv1+DBg/XTTz9Jcl9c4jkk27hxY02dOtUvVx8PHjxYl19+uc477zxVrVpVW7Zs0fPPP6/p06erU6dOWr9+vSIjI5WRkSFJPoeBj+Q5zu7p5/l/cedFFtX/aE899ZTGjBlTqH3evHmqUqWKJKlevXpq2bKlfvjhB+3YscPbp2nTpmrWrJlWrVqlffv2edtbtGihhIQELV26VIcOHfK2X3rppapZs6bmzZvnswEkJiaqcuXKmjNnjk8NV199tQ4fPqxFixZ520JCQtStWzelp6drxYoV3vbIyEhdccUVSk1N1bp167ztcXFxatu2rZKTk7V582ZvO2NiTIyJMTEmxlQ2xnSdAq20v09r1qwpUR0nfaHJxo0b1aZNG/3222/q0qWLEhMTVbt2be3Zs0eLFi3SvHnzVLVqVa1cuVLnnHPOybzFn3bzzTdr+vTpeu655zRy5EgtX75c7dq1U//+/TVjxoxC/V955RXdfvvtev7553XPPfdIksLCwlSzZk2lpaUV6p+cnKwmTZqoe/fu+vjjj4usoag9hXXr1lV6ero3VFaMT2KMiTExJsbEmBjT6TemO/8Z+D2Fk4eX7vfpwIEDiomJKb0LTR5//HHl5uZqzpw5uvLKK30ee+CBB/TFF1+oe/fuevzxx/XOO++c7Nv8KXfccYemT5+uZcuWaeTIkd49hMXt2fMc2j1yT6Lnap2S9j9aeHi4wsPDC7WHhoYqNNR3QwwODlZwcHChvp4fjpK2H/26J9MeFBRU5BXVxbUXVztjYkwn2s6YGJPEmIqr8UTbGdOJjykQAvV9KvR+JepVhMWLF6tXr16FAqHHlVdeqV69evns+vW32NhYSVJ2drYkqWHDhgoKCir2HEBP+5HnHDZu3FhZWVnas2dPifoDAACURScdCjMyMtSgQYNj9mnQoMExz7crbZ4rkD33MaxcubJat26tzZs36+eff/bpa2aaP3++IiIidPHFF3vbO3ToIMl9DuDR5s6d69MHAACgrDrpUBgfH6+VK1ces88333yj+Pj4k32LEtm0aZN+++23ItsfeOABSdJf/vIXb/vtt98uSXrwwQd9zneYPHmytm3bpv79+3vvUSi5L2IJCQnRk08+6RNw161bp7fffltnn322LrvsslM+LgAAAH866XMKu3fvrokTJ2rUqFF6+OGHValSJe9jv//+u5566iktWrRIw4cPPyWFFuedd97R888/r/bt2yshIUERERHasmWL5syZo7y8PD344IM+N5YeOHCgZs6cqbffflvbt29Xhw4d9NNPP+nDDz9UgwYN9MQTT/i8fpMmTTR69Gg98sgjat68uXr27Old5k5yX5xS0tVMAAAATlcnffXx/v371aZNG23fvl0xMTFq3bq1zjjjDO3du1erV6/Wvn37vEvDRUdHn+q6vZYsWaJ//etfWrt2rfbu3avffvtNsbGxatOmje68884ibzqdk5Ojp59+WtOnT1dqaqqio6N1zTXX6IknntAZZ5xR5Pt4VjrZuHGjwsLC1K5dO40dO1YXXnjhCdXLMncAAJw+WObuDycdCiX3fXXuv/9+vfPOO/r999+97ZUqVVK/fv00fvx478UecCMUAgBw+iAU/uFP3bw6NjZWr732miZPnqxNmzZ5VzRp1qxZsZeXAwAA4PRzwqHwySefVHZ2tsaMGeMNfqGhoTr//PO9fXJzc/Xwww8rMjJSf//7309dtQAAACgVJ3SFxJdffqlHH31UMTExx9wTGBYWppiYGD388MMBvU8hAAAASuaEQuEbb7yhGjVqaNiwYcftO3ToUEVHR2vq1KknXRwAAAD844RC4fLly9W5c+cil207Wnh4uDp37qxly5addHEAAADwjxMKhbt27VLDhg1L3L9BgwbavXv3CRcFAAAA/zqhUBgUFKS8vLwS98/Ly+PGzgAAAGXACSW2+Ph4bdiwocT9N2zYoDPPPPOEiwIAAIB/nVAovPzyy7Vw4UKlpKQct29KSooWLlzos8QcAAAATk8nFAqHDh2qvLw89erVS+np6cX2279/v3r37q38/Hz93//9358uEgAAAKXrhG5efeGFF2rEiBF64YUXdM455+ivf/2rEhMTVadOHUnSzp07tWDBAv3nP//Rvn37NHLkyBNeGxgAAAD+d8Irmjz33HOqVKmSJkyYoCeffFJPPvmkz+NmpuDgYD344IN64oknTlmhAAAAKD0nHAodx9G4ceN06623aurUqVq+fLn27NkjSapVq5batWunQYMGqVGjRqe8WAAAAJSOEw6FHo0aNWJPIAAAQDnBTQQBAABAKAQAAAChEAAAACIUAgAAQIRCAAAAiFAIAAAAEQoBAAAgQiEAAABEKAQAAIAIhQAAABChEAAAACIUAgAAQIRCAAAAiFAIAAAAEQoBAAAgQiEAAABEKAQAAIAIhQAAABChEAAAACIUAgAAQIRCAAAAiFAIAAAAEQoBAAAgQiEAAABEKAQAAIAIhQAAABChEAAAACIUAgAAQIRCAAAAiFAIAAAAEQoBAAAgQiEAAABEKAQAAIAIhQAAABChEAAAACIUAgAAQIRCAAAAiFAIAAAAEQoBAAAgQiEAAABEKAQAAIAIhQAAABChEAAAACIUAgAAQIRCAAAAiFAIAAAAEQoBAAAgQiEAAABEKAQAAIAIhQAAABChEAAAACIUAgAAQIRCAAAAiFAIAAAAEQoBAAAgQiEAAABEKAQAAIAIhQAAABChEAAAACIUAgAAQIRCAAAAiFAIAAAAEQoBAACgchAKd+7cqRdeeEFJSUmqV6+ewsLCVKtWLfXs2VPffPNNof6jR4+W4zjF/ktJSSnyfebOnasOHTooMjJS1apVU2JiohYsWFDKowMAAPCPkEAX8GdNnDhR48ePV6NGjZSUlKS4uDglJydr1qxZmjVrlt566y317du30PMGDhyo+vXrF2qvXr16obYZM2ZowIABiouL06BBgyRJM2fOVJcuXfTuu++qV69ep3hUAAAA/uWYmQW6iD/jww8/VExMjDp06ODT/tVXX6lTp06qWrWqdu/erfDwcEnuPYVjxozRokWL1LFjx+O+/q+//qqGDRsqJCREa9euVZ06dSRJaWlpatmypSRp27ZtioyMLFG9mZmZioqKUkZGhqpVq3YCIwUAAKfakBcCXYH0yojSff2SZo8yf/j4hhtuKBQIJenyyy9XYmKifv31V61fv/6kX/+9997TwYMHddddd3kDoSTVqVNHw4YNU3p6uj766KOTfn0AAIDTQZkPhccSGhoqSQoJKXyUfOnSpRo/frwmTJigWbNmKSsrq8jXWLx4sSQpKSmp0GNdu3aVJC1ZsuQUVQwAABAYZf6cwuLs2LFDX375pWrXrq3zzz+/0OOPPfaYz9fVq1fXiy++qJtvvtmnPTk5WZLUuHHjQq/hafP0KUpOTo5ycnK8X2dmZkqS8vLylJeXJ0kKCgpScHCwCgoK5HK5vH097fn5+TryKH9wcLCCgoKKbfe8rocnFOfn55eoPTQ0VC6XSwUFBd42x3EUEhJSbHtxtTMmxsSYGBNjYkyn95hCFWj++D6VRLkMhXl5eRowYIBycnI0fvx4BQcHex9r3ry5XnvtNXXs2FG1a9fWnj17NHv2bD366KMaNGiQqlevru7du3v7Z2RkSJKioqIKvY/nuLynT1GeeuopjRkzplD7vHnzVKVKFUlSvXr11LJlS/3www/asWOHt0/Tpk3VrFkzrVq1Svv27fO2t2jRQgkJCVq6dKkOHTrkbb/00ktVs2ZNzZs3z2cDSExMVOXKlTVnzhyfGq6++modPnxYixYt8raFhISoW7duSk9P14oVK7ztkZGRuuKKK5Samqp169Z52+Pi4tS2bVslJydr8+bN3nbGxJgYE2NiTIypbIzpOgVaaX+f1qxZU6I6yvyFJkdzuVwaMGCA3nrrLQ0ZMkT/+c9/SvS8BQsWqEuXLjrvvPP0ww8/eNubNGmi5ORk5eXlFToMnZeXp7CwMF1wwQX6/vvvi3zdovYU1q1bV+np6d5QWTE+iTEmxsSYGBNjYkyn35ju/Gfg9xROHl6636cDBw4oJibmuBealKtQ6HK5dMstt+j111/XTTfdpNdff11BQSU/bbJx48b66aeffCatVatW+vbbb5Wenq6YmBif/vv371dsbKwuv/xyLV26tETvwdXHAACcPrj6+A/l5kITl8ulwYMH6/XXX1e/fv00bdq0EwqEkhQbGytJ+u2337xtxzpv8FjnGwIAAJQl5SIUegLhG2+8ob59+2r69Ok+5xGWRHZ2tjZu3KiIiAhvOJTkvd3NvHnzCj1n7ty5Pn0AAADKqjIfCj2HjN944w317t1bM2bMKDYQHjp0SFu2bCnUfvjwYQ0ZMkSHDh1Snz59fM4d7NOnj6KiojRx4kSlpaV529PS0jRp0iTFxsaqR48ep35gAAAAflTmrz5+/PHH9frrr6tq1apq0qSJnnjiiUJ9rr/+erVo0UL79+9Xs2bN1KpVK5199tmqVauW9u7dqy+//FJpaWk6//zzNWHCBJ/n1qhRQ5MmTdKAAQN04YUXepfMmzlzpvbv36+ZM2eWeDUTAACA01WZD4UpKSmSpKysLD355JNF9qlfv75atGih6Oho3XnnnVq1apXmzJmjX3/9VZUrV9bZZ5+t4cOHa9iwYapcuXKh5990002KjY3VuHHjNHXqVDmOo4suukiPPPKIOnfuXJrDAwAA8ItydfVxWcDVxwAAnD64+vgPZf6cQgAAAPx5hEIAAAAQCgEAAEAoBAAAgAiFAAAAEKEQAAAAIhQCAABAhEIAAACIUAgAAAARCgEAACBCIQAAAEQoBAAAgAiFAAAAEKEQAAAAIhQCAABAhEIAAACIUAgAAAARCgEAACBCIQAAAEQoBAAAgAiFAAAAEKEQAAAAIhQCAABAhEIAAACIUAgAAAARCgEAACBCIQAAAEQoBAAAgAiFAAAAEKEQAAAAIhQCAABAhEIAAACIUAgAAAARCgEAACBCIQAAAEQoBAAAgAiFAAAAEKEQAAAAIhQCAABAhEIAAACIUAgAAAARCgEAACBCIQAAAEQoBAAAgAiFAAAAEKEQAAAAIhQCAABAhEIAAACIUAgAAAARCgEAACBCIQAAAEQoBAAAgAiFAAAAEKEQAAAAIhQCPp5++mk5jqMRI0YUeszMdNVVV8lxHM2aNcvvtQEAUJoIhcD/rF69WpMnT9YFF1xQ5OMvvPCCHMfxc1UAAPgHoRCQlJWVpf79++uVV15RjRo1Cj2+bt06Pffcc3rttdcCUB0AAKWPUAhIGjp0qLp166bOnTsXeuy3337TX/7yF/3zn/9UrVq1AlAdAAClLyTQBQCB9s477+i7777T6tWri3z8nnvuUdu2bXXdddf5uTIAAPyHUIgKLTU1VXfffbfmz5+vSpUqFXr8k08+0cKFC7V27doAVAcAgP9w+BgV2po1a/TLL7/owgsvVEhIiEJCQrRkyRK99NJLCgkJ0fz587V161ZVr17d+7gk9ezZUx07dgxs8QAAnELsKUSF1qlTJ61fv96nbfDgwWrWrJkeeOABxcbG6o477vB5/Pzzz9c//vEPXXvttf4sFQCAUkUoRIUWGRmp8847z6ctIiJCMTEx3vaiLi6pV6+eGjRo4JcaAQDwBw4fAwAAgD2FwNEWL158zMfNzD+FAADgR+wpBAAAAKEQAAAAHD5GOTfkhUBXIL0yItAVoKSWLl2qCRMmaM2aNdq9e7c++ugjXX/99d7HP/zwQ7388stas2aNDhw4oLVr16pFixYBqxcATiX2FALA/2RnZ6t58+b65z//Wezjl112mcaPH+/nygKrfv36chyn0L+hQ4cGujQEANtD+cWeQgD4n6uuukpXXXVVsY8PGDBAkpSSkuKnik4Pq1evVkFBgffrDRs2qEuXLurdu3cAq/K/0aNHa8yYMT5tTZs21aZNmwJUUWCwPZRf7CkEUKSnnnpKrVq1UmRkpGrWrKnrr79emzdvDnRZCIC4uDjVqlXL+2/27Nlq1KiROnToEOjS/O7cc8/V7t27vf++/vrrQJfkd2wP5RehED6WLl2qa6+9VvHx8XIcR7NmzQp0SQiQJUuWaOjQoVq5cqXmz5+vvLw8JSUlKTs7O9ClIYByc3M1Y8YM3XLLLXIcJ9Dl+F1ISIhPIIqNjQ10SQFV0beH8oZQCB/HO6cKFccXX3yhQYMG6dxzz1Xz5s01bdo07dixQ2vWrAl0aQigWbNm6eDBgxo0aFCgSwmI5ORkxcfHq2HDhurfv7927NgR6JICqqJvD+UN5xTCx/HOqULFlZGRIUmKjo4OcCUIpFdffVVXXXWV4uPjA12K37Vp00bTpk1T06ZNtXv3bo0ZM0aXX365NmzYoMjIyECXFxAVeXsojwiFAI7L5XJpxIgRateuXaG1olFx/Pzzz/ryyy/14YcfBrqUgDjyA/MFF1ygNm3aKCEhQe+++65uvfXWAFYWGBV9eyiPCIUAjmvo0KHasGFDuT+pPisrSz/99JP36+3bt2vdunWKjo5WvXr1dODAAe3YsUO7du2SJO+FN57zy8q7qVOnqmbNmurWrVugSzktVK9eXU2aNPHZZioStofyh3MKARzTsGHDNHv2bC1atEh16tQJdDml6ttvv1XLli3VsmVLSdLIkSPVsmVLPfroo5KkTz75RC1btvT+EbzxxhvVsmVLvfzyywGr2V9cLpemTp2qgQMHKiSE/QmS+0PE1q1bVbt27UCX4ndsD+UTofAErF69WldffbWqV6+uiIgIXXLJJXr33XcDXRZQKsxMw4YN00cffaSFCxeqQYMGgS6p1HXs2FFmVujftGnTJEmDBg0q8vHRo0cHtG5/+PLLL7Vjxw7dcsstgS4lYO69914tWbJEKSkpWr58uXr06KHg4GD169cv0KX5HdtD+US8L6FFixapa9euqlSpkm688UZFRkbqgw8+UN++fZWamqq//e1vgS4ROKWGDh2qt956Sx9//LEiIyO1Z88eSVJUVJQqV64c4Orgb0lJSTKzQJcRUGlpaerXr5/279+vuLg4XXbZZVq5cqXi4uICXZrfsT2UT4TCEsjPz9eQIUMUFBSkpUuXetc6ffTRR9W6dWs99NBD6tWrlxISEgJb6ClwvHOqUHH8+9//luTee3akqVOnlsnbT7AONv6sd955J9AlAKWKw8clsHDhQm3dulV/+ctfvIFQcu8xeeihh5Sbm6vXX389cAWeQsc7pwoVR1GHSc2sTAZCAMDxsaewBBYvXizJvbv8aF27dpXkXv2hPPCcUwWgfGKPKY4U6O2BbeH0QigsgeTkZElS48aNCz1Wq1YtVa1a1dvnaDk5OcrJyfF+7bkB8IEDB5SXlydJCgoKUnBwsAoKCuRyubx9Pe35+fk+QS04OFhBQUHFtnte18NzZVh+fn6J2kNDQ+VyuXwWPHccRyEhIcW2F1d7oMeU+3uoAu3AAb5Pp8OYTodtYf9+9/wE8vuU+3vgDxDt358X8G1v+L8DvyTbi391BfznKdA/FxkZ7nEH8ndEoOdAkg4eLN3f5QcOHJCk4+70cYzdQseVlJSk+fPnKzk5WWeddVahx88880xlZWV5A9+RRo8erTFjxvijTAAAgGKlpqYe89Zi7CksZQ8++KBGjhzp/drlcunAgQOKiYk5rRcPz8zMVN26dZWamqpq1aoFupyAYA7cmAc35sGNeWAOPJgHt7IwD2amQ4cOHXc5QkJhCURFRUlSkXsCJfcGUaNGjSIfCw8PV3h4uE9b9erVT2l9palatWqn7UbuL8yBG/Pgxjy4MQ/MgQfz4Ha6z4MnyxxL4E8uKQM85xIWdd7gnj17lJWVVeT5hgAAAGUFobAEOnToIEmaN29eocfmzp3r0wcAAKAsIhSWQKdOndSwYUO99dZbWrdunbc9IyND48aNU1hYmG6++ebAFVgKwsPD9dhjjxU69F2RMAduzIMb8+DGPDAHHsyDW3maB64+LqHilrn7+eef9eyzz7LMHQAAKNMIhSdg1apVeuyxx7R8+XLl5eXp/PPP18iRI9W3b99AlwYAAPCnEAoBAADAOYUAAAAgFAIAAECEQgAAAIhQCAAAABEKAQAAIEIhjuPIi9O5UL1iO3pbYHsAgPKFUIhjchynyP+7XK5AlAM/OzL4OY6j3Nxc7/8920NBQUFAakNgHfk7gN8HqOjbQ1EfksviPHCfQhTp8OHDWr58ub788kuFhobKcRw1aNBAl19+uRo1ahTo8uBHGRkZ+vDDD7Vs2TIVFBTI5XLpnHPOUbdu3XTeeed5+5mZzweH8qqijLMkMjMzVa1aNe/Xnj3IQUHsb6iI2B6k3NxcHTx4UDVr1vRpd7lcZWIeCIUoZNOmTXriiSf01ltvSZKqVKmi3377TZIUFRWlTp066cYbb1RSUpLPL4DyJC8vT8HBwSf8Q1zeAsO6dev06KOPavbs2ZKk2NhYpaenex9v2bKlhgwZoj59+ig6OjpQZZa6zMxMhYSEqEqVKif0vPK2PZiZvv/+e7355pvavn278vLyFBkZqVatWun6669XQkKCT9/yNHYUxvbglp+fr6+//lovv/yydu/erYyMDFWtWlXt27dXz549ddFFF3n7nvbzYMBRunfvbuHh4TZq1CibM2eOffXVV/bpp5/asGHD7IwzzjDHccxxHOvfv7+tW7cu0OWWilGjRtmUKVNsy5Yt9ttvv5XoOS6Xq5Sr8r8rr7zSIiIi7LnnnrNVq1ZZamqqrV271saOHWsXX3yxd1to27atffbZZ4Eut9QMHz7cHnnkEVuwYIHt3LnT8vLyjvucgoICP1TmX5MnT7batWub4zgWHR1tsbGx3m3AcRzr1KmTvffee3b48OFAl1qqdu/ebTk5OSf8vPL2O4Ltwe2ZZ57xjr1p06ZWr149n3k4//zz7eWXX7asrKxAl3pchEL4SElJsaCgIHvooYeK7TN79mxLSkqykJAQa9GihX377bd+rLD0paSkeH+YExISbMiQIfbJJ59YWlqa5ebm+vT1/OFPSUmxl156yb7++utAlFwqPNvCY489VmyfFStW2I033mihoaFWv359mzt3rpmVrz9+R24PMTExds0119hLL71kK1eutPT0dJ++nnEnJyfbAw88YLNmzQpEyaXi559/turVq1uLFi1sxYoV9uOPP9qBAwdsxYoVdv/991vTpk2983TjjTfali1bAl1yqUhLS7OrrrrK/vGPf9iyZcvsl19+KXZ797SfTIA83bE9uKWkpFjVqlXtsssus40bN9r+/fvNzGzDhg32j3/8w7p27WohISHmOI5dcskltmTJkgBXfGyEQviYPHmyVapUyT766CMzM28Icrlclp+f7+136NAhe/bZZ81xHLvqqqvKxCegkvrXv/5ljuPYFVdcYa1bt7awsDDvp72HHnrIli5davv27fPZEzRp0iRzHMfefvvtAFZ+ar322msWHh5uM2fONLM/toWCggKfbcHM7IMPPrDQ0FBr2bKl/fLLL36vtTRNnjzZHMexG264wXr37u3dW16vXj0bMGCAvfHGG7Z+/XrLzMz0Puff//63OY5jr7/+egArP7UeffRRq1mzpn3xxRfF9vnss8+sY8eO5jiOdezY0bZu3erHCv1j1KhR5jiOhYaGWnx8vN1444326quv2rp16+zgwYM+fT2h8MMPP7QhQ4bYTz/9FIiSSwXbg9vo0aMtNjbW5s+fb2ZFHyH4+uuvrXfv3uY4jl1wwQX23Xffmdnp+eGZUAgf77//vjmOYx9//PFx+xYUFNjDDz9sjuPYN99844fq/OOee+4xx3Fs5cqVtmvXLnvttdds0KBB1rhxY3Mcx8LDw61jx4727LPP2vr1623Pnj3eH/jyFI4XLFhgjuPYlClTiu2Tn5/v/cX2/PPPm+M49vnnn/urRL+4//77zXEcW758uWVlZdnnn39uY8aMsY4dO1pkZKSFhITYeeedZ8OHD7fZs2fb+vXrrWfPnuVue+jWrZudffbZlpqaambm/WBw9IeEvLw87++FkSNHBqTW0tSlSxerUqWK3XPPPda1a1erXr26BQcHW7NmzezOO++0999/37Zs2eL93ufn59sNN9xgYWFhJT4VpSxge3Dr3bu3NWzY0FJSUszMdx6ODoivvPKKOY5jvXr18nudJUUohI+tW7dadHS0nX322bZ8+XJv+5F//M3Me07VF198YcHBwfbPf/7T77WWhszMTLv++uvNcRz7/fffve2///67ffvtt/bCCy9Yjx49rFatWt7zaDp16mRhYWHWrVu3AFZ+6u3evdvq1atntWrVslmzZhV7XpBnW1iyZImFhYXZhAkT/FlmqcrOzrZbbrnFwsPDffYC5eXl2U8//WQffPCB3XPPPdayZUsLCwuzKlWq2IUXXmiO49g111wTwMpPvfvvv9+Cg4MtLS2t2D6eP4Iul8uuuOIKa9q0qe3cudNfJZa6PXv22IUXXmiNGzc2M7Pt27fbxx9/bPfff7+1atXKKlWqZOHh4damTRt76KGH7KuvvrJZs2ZZzZo17corrwxw9acW24PbuHHjzHEcW7NmTbF98vPzvb8ne/XqZQkJCbZp0yZ/lXhCCIXwUVBQYGPGjDHHcaxdu3b2ySef+Dx+9O7u119/3UJCQrznkpV1BQUFNmPGDBs4cKD3MOjRn/Z+/fVXW7BggY0ePdo6depkVatWNcdxbM6cOYEouVRNmTLFHMexhg0b2sSJE23v3r3F9n399dctODi4XO0pdLlc9umnn9rf/vY327dvn7ftSNnZ2fb999/ba6+9Zrfeeqv38HJ52x4+++wzcxzHunTpYmvWrCl0CoGZe248Py8jR460atWq2YYNG/xdaqn573//a3Xq1LEePXr4tB8+fNg2bNhg06dPtyFDhliTJk0sODjYatSoYWeffbY5jmOffvppgKouHWwPbl999ZUFBQVZixYtbP78+UXuDXa5XN7fG6NGjbIqVap4DyGfbgiFKNKECRMsJibGHMex5s2b28SJE23Xrl1m5v4jaObeq9imTRurXbt2IEv1m6LOFfnhhx/svPPOs6ioKP8X5CfvvPOO9w9b48aN7aGHHrLly5dbWlqa7dq1y3JycmzNmjXWvHlzq1u3bqDL9ZuizgfasmWLXXTRReVye8jJybGbbrrJHMexyy67zN5///1iD48fPHjQBg0aZHFxcX6usnQdPnzYJk6caDNmzPDu+Tl6Ozh48KCtXLnSJk+ebNddd505jmM1atQIRLmliu3hD3//+9+9H56fe+4527RpU5FHVjIyMmzgwIEWExMTgCpLhlAIH55fcJmZmfb2229bp06dfC6tb926td10003Wvn17q1KlikVFRZWbQ8ceRX3iPZrnoosFCxZYlSpV7NZbby3tsvzOsy3k5ubaggUL7JZbbvG5JVHTpk2tffv21qxZM3Mcx8444wx79dVXA1z1qVeS7cETEObNm2fh4eHlcnvwGDNmjPf2GxdeeKGNHz/evv32W9u+fbulpqba4cOH7emnn7aqVava0KFDA12u3xT1IeHtt9+2oKAgu/322wNQkX+wPbhNmzbNe8V148aNbfjw4fb+++/bsmXLbNOmTbZr1y67//77LSIiwu6+++5Al1ssQiGOa8mSJXb33XfbxRdf7D3HLCQkxK6++mqbN29eodu0VCSjR482x3Fs1apVgS7FL9asWWNPP/209erVyy699FJr0qSJxcXF2eDBg23VqlWn5dV0/vTcc89ZcHBwudwePHvKDx48aG+//bZdd911FhkZaY7jWEhIiJ199tnWvHlzb0C46qqrbNu2bQGu+tQ68nDosfp4fg48FymtXr3aH+X5lef3/oEDB+zNN9+skNuD2R8fBvLz823x4sV29913W7NmzSw4ONiCg4PtjDPOsBo1aliVKlXMcRzr27ev7dixI8BVF48VTVAkK2J5ot9//13JycmqXLmyatSooUqVKikiIiKAVQbe0qVL9cUXX2jcuHGBLqVUHb1EU25urvbu3avq1asrNDRU4eHhp/dd+v1k7dq1WrZsmYYNGxboUkpdXl6eVq5cqYULF2r9+vXav3+/du/ererVq6tv37665ZZbFBUVFegyA2bfvn26/fbb9eOPP2rTpk2BLqfU5ebmatmyZVq8eLE2btxYYbeHgoICbdiwQatXr9amTZu0e/dubd26VfXq1dPVV1+tm266SSEhIYEus1iEQngVFBQoKCio0B/3goICOY5TJtZt/LOKm4OKxMxUUFCg4ODgQvPgcrnkOE6hdjvdl246Cceah4qsqA+M2dnZysrK0hlnnKGcnByFh4cHsMLTQ15enhYsWKCQkBB17tw50OWcMgUFBUpOTtavv/4qM5PL5VLDhg0VHx/v7XPo0CFlZWWpdu3aFWp7OPr3YG5uroKCghQSEuL9XXK6IxRCqampqlu3rvdrl8slMytyAy6Pf/ylE5uDI+Xn55/Wn/pO1NatW9WoUSPv1y6XSy6Xq1yNsSSYhz9+1o819qM/JHieU55+T5RkHiqKzZs368EHH9ScOXOUm5ur8PBw1ahRQwkJCbrkkkuUlJSkyy67TJGRkZIKH2GoKI4ed1n6uah43y34SElJUUJCgq688kq9/vrr2r9/v4KCgrxhqKCgQC6XS9IfG3Zubm4gSz7lTnQOJHnnoDz9gdi6dasaN26sc845R88++6z27Nnj/ZQrueehoKBA0h/zkJ2drb179yo/Pz9gdZ9qzIPboUOHtGPHjmLHLqnQXnXP/0/3P3wnoiTzUBHs2rVLvXv31scff6wbb7xRI0eO1N13362LLrpIP/74o1588UX1799fI0aM0DfffCNJ5TIQ/vrrr1qyZIlycnKK7XP0uMvUz4V/Tl3E6cpz403Pv9jYWBs4cKB99tln3isqPTzrd7788svWqVMn27x5cyBKPuWYA7fx48f7zINnaaoZM2YUupjoyHlo3br1aXvPrZPBPLiNHDnSHMexyy+/3F577TXvrag88vLyCl10sXv3btu7d2+5uuCIeXB75JFHrEaNGj4rHOXk5Fhubq7t2LHDJk+ebO3atbOgoCA755xzbPbs2WZ2ei7l9mfce++93iutx44de8z7LnrGvmXLFlu3bl2ZuCiTUFjBXXPNNRYZGWlTpkyxgQMHeq+QchzHzjrrLLv33nsLXUl5ww03lKslvJgDt549e1rlypXtrbfeskcffdTOOecc7zyEhobajTfeaAsWLPB5DvPgVh7n4fzzzy8Ujnv06GGfffaZT78jb2PVv39/69q1a6EPU2UZ8+DWvHlzu/LKK703sC8q7O3bt88mTpxo0dHRFhkZaf/973/9XWapa9GihQUFBVl0dLR3e0hMTLTJkycXubpLVlaW9evXzy655BJCIU5vv/zyi7Vu3drOPPNMb9vhw4ftzTffLHR/wlatWtlLL71k7777rtWuXduuvfbaAFZ+6jAHbvv27bO2bdtarVq1vG05OTn2+eef26233mq1a9f2zkNcXJz9/e9/txkzZjAP5XQetm7danFxcdahQwdbunSp/d///Z/Vq1fPO/YaNWrYnXfe6bNndO3atVajRg3r0KFD4Ao/xZgHt/T0dLv44ovtkksuOW7fvLw8e+edd8xxHLvjjjv8UJ3/bN++3eLj4+2SSy6xdevW2dixY619+/ZWqVIlcxzHIiMjrU+fPvbRRx/Z/v37zcxs1apVFh0dbYmJiQGuvmQIhRXYjh077PLLL/eu2es5FOaxa9cue/bZZ30+KXs2/qM/JZdVzIHbnj177Morr7QuXbpYXl5eoU+0+/btszfeeMO6d+9uERERPmGZeSh/8zBv3jxzHMf+9re/edsOHjxoM2fOtN69e1tUVJR33I0aNbKnn37aHnjgAXMcx3vYsDxgHv7YIzhkyBDvcn35+fnmcrmOuSe0Xbt21qpVK284Kg8WLlxoQUFBNnz4cG/boUOHbO7cuXbPPffYBRdc4N0ezjzzTBsxYoTdcccdZWp7IBRWYLm5ubZw4UJbvny5z8Ll+fn5hc6R2bx5sw0dOtQcx7Ho6OhAlFsqmIM/JCcn24YNGwrNw9GHiXbs2GGPP/64ValSpVwu38U8mC1fvtzq1q1r//nPf8zMCv3x//nnn23ixInWsWNHn2DMPJTPeTAzmzNnjjmOY02aNCm01n1+fr7Pz8jBgwft+uuvtyZNmgSi1FKzbt06a9y4sb300ktmVni1o927d9vbb79tAwcOtAYNGpTJ7YFQiGLv0O/5JOjZ8FetWmVVqlQpl0s2MQfH5glGnnlYsWIF82Dldx5yc3Nt48aNtmfPHm+bZ+xH27Jli3cN3PK2jBnz4OvNN9/0LnWZmJhoM2fO9DmP1hMKP/vsM4uPj7chQ4YEqtRSk5mZaQcOHPBpK+rvx86dO23YsGHmOI7deeed/irvTys/99PACTvyxrxF3VjTcRyfW6688cYbOnz4sG6//XZ/l1pqmIOScRzHZ25mzJjBPKj8zkNoaKjOOeccn7Yjx27/u2lxcHCwGjdurMaNG0uSBg8e7PdaSxPz4Ktnz56SpOeff16LFy/W4sWLVbNmTXXo0EFdunRReHi4NmzYoFdffVXh4eG6++67A1zxqee5B+ORPLegOXJ7iI+PV3R0tCTplltu8WuNfwY3r0aJZGZm6o477tCiRYu0Z8+eQJcTEMyBW3Z2toYOHao5c+bol19+CXQ5AVOe58Fz891jrcJg/7tv6ZYtW3TttdcqPz9fW7du9XOlpYt5KJqZ6dNPP9V//vMfzZs3r9D9OS+99FI98sgjuuqqqwJUYeBt27ZN119/vQ4dOqTt27cHupwSY09hBfXLL79o/fr12rJli7KystS6dWs1a9ZMMTExPjdo9fwirFatmqZNm1au/vgxB24nuupARESEpk2bpszMzFKsyv+Yhz945uFYK/ocuYpJUFCQdy9SecI8+LIjljjs3r27unfvroyMDC1evFjbtm1TfHy8qlatqlatWqlmzZqBLjegHMdRrVq11Ldv30CXckLYU1gBff7553riiSe0YsUKn/bo6Gh17txZffv21bXXXluuVus4GnNQtJIEo/z8/EKHUcubijwPX3zxhTZs2KB169apZs2aatWqlc466ywlJCQoJiZGwcHBRS7XVd6WfGQe3IrbS1pQUCDHccrlqiVFOdm1i8vKmscehMIKJjU1VR07dlR2drYGDRqkxMREbdu2TWvXrtX333+vH374QTk5OTr33HP14IMPqlevXgoLCytXa1gyB2579+7VM888o6SkJLVp00bVq1f3Pub5tVAmlmX6k5gHt4MHD+qpp57ShAkTFBwc7LOMW3R0tNq1a6cePXro+uuv95mjsvZH73iYB7ei1u/17CU80pHtZqaCgoJyFYpLOg9Hy83NVVhYWGmXd+r56YIWnCYefvhhq1Gjhn3wwQeFHktNTbWZM2da//79vZfSjx8/PgBVli7mwO3RRx81x3GsQYMG1q1bN5swYYKtWrXKfv/9d59+BQUF3qstFy1aZJ9//nkgyi01zIPbM888Y1WqVLEePXrYokWLbPPmzfbOO+/YmDFj7JprrrG4uDjv8l4fffRRoMstNcyD27/+9S/r06ePzZ492w4dOuTzWEFBQbF3bChvKto8EAormDZt2ljHjh1t3759ZmY+t1s50sKFC61ly5YWHh5ur776qr/LLFXMgVuLFi0sLCzMLrnkEgsLCzPHcax+/frWv39/mzJliv34448+/bOzs6179+4WFBRkhw8fDlDVpx7z4JaQkGDdunWz9PT0Qo/t3LnTZs+ebbfffruFhISY4zj2yiuvBKDK0sc8uNWvX997s/42bdrYqFGjbMWKFYXu1+m5d2N2drb94x//sIULFwai3FJT0eaBUFiBHDp0yDp37mzNmjXzLup+5Kccl8vl8/V3331nNWrUsO7du3sfL+uYA7cdO3ZY/fr17aKLLrLc3FxbsWKFjRo1ypo3b26O41hwcLBdcMEFNmzYMHv33XctIyPDVq1aZbVq1SpXy7kxD24//vijVa1a1R566CFvW1F7QXJycuyzzz6zhg0bWnR0tC1fvtzfpZYq5sFtw4YN5jiOXXzxxdalSxfvUZOqVata165d7cUXXyz0Yemrr74yx3GsXbt2Aar61KuI80AorGA8SzAVtefryMDj+SV43XXXWZMmTSwlJcVvNZY25sDsm2++sejoaBs4cKCZmXcFl71799rnn39uf/3rXy0hIcEcx7EqVapY+/btvWtBf/rpp4Et/hRiHtz++9//Wp06daxv375m5t7rcfSHpSN/NmbNmlUuT61gHtzefvttcxzHnn/+eTNzr+Y0fvx4a9GihTcY1a5d2/r162dvvPGGHThwwJ577rkytZxbSVTEeSAUVjBpaWnedXzvuusuW7NmTaFDYJ7d4BkZGda7d2+rV69eIEotNcyBeym3G264wd58880iH8/NzbWUlBSbPn269enTx6Kjo8vcck0lwTz8oU2bNhYZGWlz5swp9JgnCHkC0v79+61BgwbWq1cvv9boD8yD2eTJk81xnCLnYNWqVXbPPfdY3bp1vcGoSZMmVqtWLYuKivJ/saWoIs4DobAC+uijj7zrMl588cU2duxYW7RokaWkpPiEoxkzZlhcXJzdcccdAay2dDAH7vVJizpv6kieP34vv/xymVuuqaQq+jx4gs4333xjZ555pjmOYyNGjLBvvvmm0Iclz8U3y5cvt/j4eBs+fLjf6y0tzIOby+WyFStW2D333GM//fSTT/uRDh8+bLNnz7aBAwdaVFSUOY5jw4YN83e5paaizgOhsII4ekPev3+/3XvvvVavXj1zHMdq1qxpV1xxhd100012++2324ABAyw8PNyaNWtmmzZtClDVpxZz4FbUeZGew6bFue+++8xxHFuzZk1pluZXzIOv/Px8mzZtmtWuXdscx7Fzzz3X7rnnHnvvvfds48aN3nlJS0uzfv36WUhICPNQjufh0KFDlpOTU+RjR//sDB061BzHsbVr1/qhMv+qaPPAfQorEPvfjVbT0tIUHx+voKAgbdiwQbNnz9bixYv1448/KjU1VZJUo0YNtWjRQi+99JLOPffcAFd+6jAHbp552LNnj2rWrOlzz62CggIFBQV5782Xlpambt26adeuXdq3b1+gSi4VzENh+/bt06RJk/Tuu+9qy5YtqlKlis4880xVrVpV0dHR2rRpk/bt26fBgwfrX//6V6DLLTXMw7F5fna2bt2qvn37KiMjQ8nJyYEuy+/K2zwQCiuA/Px8LVu2TK+99pq2bNkix3FUpUoVtWrVSn369FHLli1lZkpNTdXhw4e1bds2NWvWTHXr1lVISEiRd+0va5gDt6PnISgoSJUrV1bz5s3Vs2dPtW3bttBz0tPTNX36dMXHx5e5JZuKwzwUZmZyuVwKDg7W4cOHlZycrNWrV2vZsmX65ptvtGnTJsXFxalu3bq67bbbdNNNNykiIiLQZZ9yzMOJmT17trp376777rtP48ePD3Q5AVNu5sH/OyfhbxMmTLBq1aqZ4zjWuHFja9asmffEWM/hkX/+85+2d+/eQJdaapgDt+PNw9lnn23PP/+87d692+d5OTk55eomrcxDyRQUFFh2drbl5eVZenq6bdiwIdAlBURFnIeS3n5rz549Nm3aNNu/f38pVxQYFW0eCIXl3LZt2ywiIsIuv/xy27Ztm6WlpVleXp6lpqbav/71L0tMTPT+Ibziiits9erVgS75lGMO3E5kHjp16lQuz5MyYx48fvvtN9u0aZP99ttvhR4rKCjw+WN49B/G8hSMmQe3Y83D8RR18/+yqqLPA6GwnBs1apTVrFnTvvzyS2/b0b/YfvjhB7v55putUqVK1rRpU/v222/9XWapYg7c/sw8lJebdpsxDx5PPfWUXXzxxTZu3DhbuHCh7dy5s9AftaPvy/fLL794b9dUXjAPbiWZh6MxD27laR4IheXcDTfcYA0bNrSff/7ZzP64/57L5Sq0ob/wwgvmOI4NGjTI73WWJubAjXlwYx7cPLddCQkJsZiYGLv22mtt4sSJtmrVqiJv0ZOVlWX33nuvDR48uFztIWMe3P7MPJSHPWQeFX0eCIXl3NixY81xHNu4cWOxfY78BNyzZ0+rV6+ebd261R/l+QVz4MY8uDEP7pUZqlatam3btrVJkybZddddZzVr1jTHcSwhIcEGDhxo06dPtw0bNtivv/5qZmYrV660qKgou+666wJa+6nEPLgxD27Mg1lIoC90QelKTEyUJPXv31/PPfecLrvsMoWFhRXqV1BQoODgYDVt2lSff/65srKy/F1qqWEO3JgHN+ZB2rJli37//XclJSVp6NChuuaaa7R582atWLFCCxcu1AcffKA333xT55xzjq644gpdeeWVWrBggTIzMzVkyJBAl3/KMA9uzIMb8yCuPi7v8vPz7W9/+5v3ispJkybZnj17iux74MABu/nmmy0uLs7PVZYu5sCNeXBjHszee+89cxzHZs6c6dOem5trycnJ9v7779vdd99tzZs3t7CwMIuIiLAqVaqUu+X9mAc35sGNeeDwcYXx8ssvW6NGjcxxHDvzzDNt2LBh9tlnn9kPP/xgGzdutJ07d9rf//53q1Spko0cOTLQ5ZYK5sCNeXCryPPgcrnsv//9r23bts379dGysrLsu+++s7ffftuSkpK8a4WXJ8yDG/PgxjwQCisMl8tlW7Zssfvuu89nAe8zzjjD6tSpY8HBweY4jv3lL3+x1NTUQJdbKpgDN+bBjXkoWlF/CO+66y5zHMe+++67AFQUGMyDG/PgVlHmgRVNKqDs7GytWrVKn3zyiXbt2qVffvlF1apVU58+fdSzZ09VqlQp0CWWOubAjXlwYx4Kc7lcCgoKUkpKiq677jr9+uuv2rFjR6DL8jvmwY15cCvv88CFJhVQRESEEhMTlZiYqLy8PIWGhga6JL9jDtyYBzfmoTDPOtA7d+5UXl6e7rzzzgBXFBjMgxvz4Fbe54E9hQCAYpmZ0tLSFB0dXaHX+GUe3JgHt/I6D4RCAAAAKCjQBQAAACDwCIUAAAAgFAIAAIBQCAAAABEKAQAAIEIhAAAARCgEAACACIUAAAAQoRAAAACS/h8sW9wkPzVfiAAAAABJRU5ErkJggg==\n", - "text/plain": [ - "
" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "hist=qaoaec.hist(qaoaec.angles_hist['d'+str(maxdepth)+'_final'], qasm_sim,1024)\n", - "plot_histogram(hist)" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "07299158", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "hist=qaoaec.hist(qaoaec.angles_hist['d'+str(maxdepth)+'_final'], qasm_sim,1024)\n", - "plot_histogram(hist)" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "24e089d8", - "metadata": {}, - "outputs": [], - "source": [ - "hist=qaoaec.hist(qaoaec.angles_hist['d'+str(maxdepth)+'_final'], qasm_sim,1024)\n", - "bins={}\n", - "for key in hist:\n", - " c=-qaoaec.cost(key[::-1])\n", - " bins[c]=bins.get(c,0)\n", - " bins[c]+=hist[key]\n", - "bins=dict(sorted(bins.items()))" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "641a1129", - "metadata": {}, - "outputs": [], - "source": [ - "bins_class={}\n", - "for c in costs:\n", - " bins_class[int(c)]=bins_class.get(int(c),0)\n", - " bins_class[int(c)]+=1\n", - "bins_class=dict(sorted(bins_class.items()))" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "id": "95be5060", - "metadata": { - "scrolled": false - }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "for i in range(1,maxdepth+1):\n", - " hist=qaoaec.hist(qaoaec.angles_hist['d'+str(i)+'_final'], qasm_sim,1024)\n", - " bins={}\n", - " for key in hist:\n", - " c=-qaoaec.cost(key[::-1])\n", - " bins[c]=bins.get(c,0)\n", - " bins[c]+=hist[key]\n", - " bins=dict(sorted(bins.items()))\n", - " max_val=max(costs)\n", - " min_val=min(costs)\n", - "\n", - " pl.figure(i, figsize=(25,10))\n", - " w=np.array(list(bins.values()))\n", - " c,d,_=pl.hist(bins.keys(),bins=10,weights=w, alpha = 0.5, color= 'r')\n", - " pl.clf()\n", - " pl.title(\"depth=\"+str(i))\n", - " a,b,_=pl.hist(np.sort(costs), bins=10, alpha = 0.5, color= 'b')\n", - " w=np.array(list(bins.values()))\n", - " pl.hist(bins.keys(),bins=20,weights=w/max(c)*max(a), alpha = 0.5, color= 'r')\n", - " min_ylim, max_ylim = pl.ylim()\n", - " max_ylim *=1.025\n", - " mean=np.mean(costs)\n", - " pl.axvline(mean, color='k', linestyle='dashed', linewidth=2)\n", - " _=pl.text(mean-1, max_ylim, 'mean = {:.2f}'.format(mean))\n", - " _=pl.xticks(np.arange(min_val, max_val, step=1))\n", - " pl.xlabel(\"cost\")\n", - " pl.savefig(\"animation\"+str(i).zfill(3))" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "id": "b420c329", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "pl.plot(np.arange(1,maxdepth+1), np.array(list(qaoaec.costval.values())),'o--')\n", - "pl.hlines(0, 1,maxdepth, linestyles=\"solid\", colors=\"black\")\n", - "pl.ylim(-0.01,1)\n", - "\n", - "_=pl.title('Cost')\n", - "_=pl.ylabel('cost')\n", - "_=pl.xlabel('depth')" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "id": "2d2b1b32", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "100%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 10/10 [00:00<00:00, 23.57it/s]\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "sp=np.zeros(maxdepth)\n", - "for i in tqdm(range(maxdepth)):\n", - " sp[i]=qaoaec.successProbability(qaoaec.angles_hist['d'+str(i+1)+'_final'], qasm_sim,1024)\n", - "pl.plot(np.arange(1,maxdepth+1), sp,'o--')\n", - "pl.hlines(1, 1,maxdepth, linestyles=\"solid\", colors=\"black\")\n", - "pl.ylim(0,1.01)\n", - "\n", - "_=pl.title('Success rate')\n", - "_=pl.ylabel('success probability')\n", - "_=pl.xlabel('depth')" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "id": "e4ba6f7d", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "pl.plot(np.arange(1,maxdepth+1),qaoaec.angles_hist['d'+str(maxdepth)+'_final'][::2],\"x-\",label='gamma')\n", - "pl.plot(np.arange(1,maxdepth+1),qaoaec.angles_hist['d'+str(maxdepth)+'_final'][1::2],\"o-\",label='beta')\n", - "\n", - "_=pl.title('Parameters')\n", - "_=pl.ylabel('parameter')\n", - "_=pl.xlabel('depth')\n", - "_=pl.legend()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "9cc0fed2", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "769d6842", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.3" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/ExactCover/ExactCover 6 3.ipynb b/ExactCover/ExactCover 6 3.ipynb deleted file mode 100644 index 8df86b4..0000000 --- a/ExactCover/ExactCover 6 3.ipynb +++ /dev/null @@ -1,736 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "id": "e429c1ea", - "metadata": {}, - "outputs": [], - "source": [ - "#run: pip install openquantumcomputing\n", - "import sys\n", - "sys.path.insert(0, '/home/franzf/OpenQuantumComputing/OpenQuantumComputing/')\n", - "from openquantumcomputing.QAOAExactCover import QAOAExactCover" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "a25b06d2", - "metadata": {}, - "outputs": [], - "source": [ - "from qiskit import *\n", - "\n", - "import numpy as np\n", - "from tailassignment_loader import *\n", - "\n", - "import matplotlib.pyplot as pl\n", - "from mpl_toolkits.axes_grid1 import make_axes_locatable\n", - "from qiskit.visualization import *\n", - "\n", - "from tqdm import tqdm" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "5a113cdc", - "metadata": {}, - "outputs": [], - "source": [ - "instances = 6\n", - "flights = 24\n", - "solutions = 3\n", - "\n", - "path_to_examples = \"tailassignment_samples/\"\n", - "\n", - "FR, CR, best_sol = load_FR_CR(path_to_examples + f'FRCR_{instances}_{flights}_{solutions}.txt')" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "ba34f8b6", - "metadata": { - "scrolled": true - }, - "outputs": [ - { - "data": { - "image/png": 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" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "params={'FR': FR}\n", - "params['usebarrier']=True\n", - "qaoaec = QAOAExactCover(params=params)\n", - "qaoaec.createCircuit(np.array((np.pi,2*np.pi)),1).draw(output='mpl')" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "id": "8a71822c", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[[0. 1. 1. 0. 1. 0.]\n", - " [1. 0. 0. 1. 0. 1.]\n", - " [0. 1. 1. 0. 1. 0.]\n", - " [1. 0. 0. 1. 0. 1.]\n", - " [0. 1. 1. 0. 1. 0.]\n", - " [1. 0. 0. 1. 0. 1.]\n", - " [1. 0. 0. 1. 1. 0.]\n", - " [0. 1. 1. 0. 0. 1.]\n", - " [1. 0. 1. 0. 1. 0.]\n", - " [0. 1. 0. 1. 0. 1.]\n", - " [1. 0. 0. 1. 1. 0.]\n", - " [0. 1. 1. 0. 0. 1.]\n", - " [0. 1. 0. 1. 1. 0.]\n", - " [1. 0. 1. 0. 0. 1.]\n", - " [1. 0. 0. 1. 1. 0.]\n", - " [0. 1. 1. 0. 0. 1.]\n", - " [1. 0. 1. 0. 0. 1.]\n", - " [0. 1. 0. 1. 1. 0.]\n", - " [1. 0. 1. 0. 0. 1.]\n", - " [0. 1. 0. 1. 1. 0.]\n", - " [1. 0. 1. 0. 0. 1.]\n", - " [0. 1. 0. 1. 1. 0.]\n", - " [1. 0. 1. 0. 0. 1.]\n", - " [0. 1. 0. 1. 1. 0.]]\n", - "solutions:\n", - "000011 0.0\n", - "001100 0.0\n", - "110000 0.0\n" - ] - } - ], - "source": [ - "import itertools\n", - "print(FR)\n", - "nL=FR.shape[1]\n", - "print(\"solutions:\")\n", - "costs=[]\n", - "for s in [''.join(i) for i in itertools.product('01', repeat =nL)]:\n", - " costs.append(-qaoaec.cost(s))\n", - " if qaoaec.isFeasible(s):\n", - " print(s, -qaoaec.cost(s))" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "id": "bbe8089d", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "max_val=max(costs)\n", - "\n", - "pl.figure(figsize=(25,10))\n", - "a=pl.hist(np.sort(costs), bins=200)\n", - "min_ylim, max_ylim = pl.ylim()\n", - "max_ylim *=1.025\n", - "mean=np.mean(costs)\n", - "pl.axvline(mean, color='k', linestyle='dashed', linewidth=2)\n", - "a=pl.text(mean-1, max_ylim, 'mean = {:.2f}'.format(mean))\n", - "a=pl.xticks(np.arange(0, max_val, step=10))" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "a4fcccfa", - "metadata": {}, - "outputs": [], - "source": [ - "qasm_sim = Aer.get_backend('qasm_simulator')" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "112c880a", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Calculating Energy landscape for depth p=1...\n", - "Calculating Energy landscape done\n" - ] - } - ], - "source": [ - "qaoaec.sample_cost_landscape(qasm_sim, 1024, angles={\"gamma\": [0,np.pi,30], \"beta\": [0,np.pi/2,20]})" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "411cbd19", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "f = pl.figure(figsize=(6, 6), dpi= 80, facecolor='w', edgecolor='k');\n", - "_=pl.xlabel(r'$\\gamma$')\n", - "_=pl.ylabel(r'$\\beta$')\n", - "ax = pl.gca()\n", - "_=pl.title('Expectation value')\n", - "im = ax.imshow(qaoaec.E,interpolation='bicubic',origin='lower',extent=[0,np.pi,0,np.pi/2])\n", - "divider = make_axes_locatable(ax)\n", - "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n", - "_=pl.colorbar(im, cax=cax)" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "becf35c6", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "f = pl.figure(figsize=(6, 6), dpi= 80, facecolor='w', edgecolor='k');\n", - "_=pl.xlabel(r'$\\gamma$')\n", - "_=pl.ylabel(r'$\\beta$')\n", - "ax = pl.gca()\n", - "_=pl.title('Variance')\n", - "im = ax.imshow(qaoaec.Var,interpolation='bicubic',origin='lower',extent=[0,np.pi,0,np.pi/2])\n", - "divider = make_axes_locatable(ax)\n", - "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n", - "_=pl.colorbar(im, cax=cax)" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "9bb7d8d6", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 10%|█████████████████▌ | 1/10 [00:01<00:11, 1.33s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 1 )= 10.298828124999998\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\r", - " 20%|███████████████████████████████████ | 2/10 [00:04<00:19, 2.44s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 2 )= 10.130859375000002\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\r", - " 30%|████████████████████████████████████████████████████▌ | 3/10 [00:09<00:24, 3.57s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 3 )= 9.669921875\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\r", - " 40%|██████████████████████████████████████████████████████████████████████ | 4/10 [00:16<00:29, 4.92s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 4 )= 9.400390625000002\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\r", - " 50%|███████████████████████████████████████████████████████████████████████████████████████▌ | 5/10 [00:24<00:30, 6.13s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 5 )= 9.296875000000002\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\r", - " 60%|█████████████████████████████████████████████████████████████████████████████████████████████████████████ | 6/10 [00:37<00:33, 8.34s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 6 )= 9.574218750000002\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\r", - " 70%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████▍ | 7/10 [00:56<00:35, 11.72s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 7 )= 5.863281249999998\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\r", - " 80%|████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████ | 8/10 [01:13<00:26, 13.46s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 8 )= 8.617187500000002\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\r", - " 90%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████▌ | 9/10 [01:43<00:18, 18.58s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 9 )= 8.757812499999998\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "100%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 10/10 [02:20<00:00, 14.10s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 10 )= 11.976562500000002\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n" - ] - } - ], - "source": [ - "maxdepth=10\n", - "for i in tqdm(range(maxdepth)):\n", - " qaoaec.increase_depth(qasm_sim, 2*1024)" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "fb39857a", - "metadata": {}, - "outputs": [], - "source": [ - "hist=qaoaec.hist(qaoaec.angles_hist['d10_final'], qasm_sim,1024)\n", - "bins={}\n", - "for key in hist:\n", - " c=-qaoaec.cost(key[::-1])\n", - " bins[c]=bins.get(c,0)\n", - " bins[c]+=hist[key]\n", - "bins=dict(sorted(bins.items()))" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "033178ec", - "metadata": {}, - "outputs": [], - "source": [ - "bins_class={}\n", - "for c in costs:\n", - " bins_class[int(c)]=bins_class.get(int(c),0)\n", - " bins_class[int(c)]+=1\n", - "bins_class=dict(sorted(bins_class.items()))" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "id": "95510dda", - "metadata": { - "scrolled": false - }, - "outputs": [ - { - "data": { - "image/png": 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "for i in range(1,maxdepth+1):\n", - " hist=qaoaec.hist(qaoaec.angles_hist['d'+str(i)+'_final'], qasm_sim,1024)\n", - " bins={}\n", - " for key in hist:\n", - " c=-qaoaec.cost(key[::-1])\n", - " bins[c]=bins.get(c,0)\n", - " bins[c]+=hist[key]\n", - " bins=dict(sorted(bins.items()))\n", - " max_val=max(costs)\n", - " min_val=min(costs)\n", - "\n", - " pl.figure(i, figsize=(25,10))\n", - " w=np.array(list(bins.values()))\n", - " c,d,_=pl.hist(bins.keys(),bins=10,weights=w, alpha = 0.5, color= 'r')\n", - " pl.clf()\n", - " pl.title(\"depth=\"+str(i))\n", - " a,b,_=pl.hist(np.sort(costs), bins=10, alpha = 0.5, color= 'b')\n", - " w=np.array(list(bins.values()))\n", - " pl.hist(bins.keys(),bins=20,weights=w/max(c)*max(a), alpha = 0.5, color= 'r')\n", - " min_ylim, max_ylim = pl.ylim()\n", - " max_ylim *=1.025\n", - " mean=np.mean(costs)\n", - " pl.axvline(mean, color='k', linestyle='dashed', linewidth=2)\n", - " _=pl.text(mean-1, max_ylim, 'mean = {:.2f}'.format(mean))\n", - " _=pl.xticks(np.arange(min_val, max_val, step=20))\n", - " pl.xlabel(\"cost\")\n", - " pl.savefig(\"animation\"+str(i).zfill(3))" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "6c96a550", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "pl.plot(np.arange(1,maxdepth+1), np.array(list(qaoaec.costval.values())),'o--')\n", - "pl.hlines(0, 1,maxdepth, linestyles=\"solid\", colors=\"black\")\n", - "# pl.ylim(-0.01,1)\n", - "_=pl.title('Cost')\n", - "_=pl.ylabel('cost')\n", - "_=pl.xlabel('depth')" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "id": "3d62f3ba", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "100%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 10/10 [00:00<00:00, 10.72it/s]\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "sp=np.zeros(maxdepth)\n", - "for i in tqdm(range(maxdepth)):\n", - " sp[i]=qaoaec.successProbability(qaoaec.angles_hist['d'+str(i+1)+'_final'], qasm_sim,1024)\n", - "pl.plot(np.arange(1,maxdepth+1), sp,'o--')\n", - "pl.hlines(1, 1,maxdepth, linestyles=\"solid\", colors=\"black\")\n", - "pl.ylim(0,1.01)\n", - "_=pl.title('Success rate')\n", - "_=pl.ylabel('success probability')\n", - "_=pl.xlabel('depth')" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "id": "1ed37e8a", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "pl.plot(np.arange(1,maxdepth+1),qaoaec.angles_hist['d'+str(maxdepth)+'_final'][::2],\"x-\",label='gamma')\n", - "pl.plot(np.arange(1,maxdepth+1),qaoaec.angles_hist['d'+str(maxdepth)+'_final'][1::2],\"o-\",label='beta')\n", - "\n", - "_=pl.title('Parameters')\n", - "_=pl.ylabel('parameter')\n", - "_=pl.xlabel('depth')\n", - "_=pl.legend()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "b781c7c4", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "291bca4d", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "bde1dbfc", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "ca8f3a6d", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "a7049786", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.3" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/ExactCover/ToyExample_ExactCover.ipynb b/ExactCover/ToyExample_ExactCover.ipynb new file mode 100644 index 0000000..4617840 --- /dev/null +++ b/ExactCover/ToyExample_ExactCover.ipynb @@ -0,0 +1,271 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# QAOA for Exact Cover, Toy Example\n", + "In this notebook a small exact cover problem is solved using QAOA. The quantum circuit used is shown and the approximation ratio for depth = 1 is computed. \n", + "\n", + "# Importing necessary modules" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "#run: pip install openquantumcomputing\n", + "from openquantumcomputing.QAOAExactCover import QAOAExactCover\n", + "from utilities_exactCover import computeOptimalSolution, computeAverageApproxRatio\n", + "from tailassignment_loader import *\n", + "from qiskit import *\n", + "import numpy as np\n", + "import matplotlib.pyplot as pl\n", + "from mpl_toolkits.axes_grid1 import make_axes_locatable\n", + "from qiskit.visualization import *" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Creating problem instance" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "size = 4\n", + "flights = 3\n", + "solutions = 2\n", + "\n", + "path_to_examples = \"tailassignment_samples/\"\n", + "\n", + "FR, CR, best_sol = load_FR_CR(path_to_examples + f'FRCR_{size}_{flights}_{solutions}.txt')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Creating a QAOA instance and drawing the quantum circuit" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "params={'FR': FR}\n", + "params['CR']= CR\n", + "params['instances'] = size\n", + "qaoaec = QAOAExactCover(params=params)\n", + "qaoaec.createParameterizedCircuit(1)\n", + "qaoaec.parameterized_circuit.draw(output = 'mpl')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Sample and plot cost landscape" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Calculating Energy landscape for depth p=1...\n", + "Executing sample_cost_landscape\n", + "parameters: 2\n", + "Done execute\n", + "Done measurement\n", + "Calculating Energy landscape done\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "qaoaec.sample_cost_landscape(angles={\"gamma\": [0,np.pi/2,10], \"beta\": [0,np.pi/2,10]})\n", + "f = pl.figure(figsize=(6, 6), dpi= 80, facecolor='w', edgecolor='k');\n", + "_=pl.xlabel(r'$\\gamma$')\n", + "_=pl.ylabel(r'$\\beta$')\n", + "ax = pl.gca()\n", + "_=pl.title('Expectation value')\n", + "im = ax.imshow(qaoaec.E,interpolation='bicubic',origin='lower',extent=[0,np.pi,0,np.pi/2])\n", + "divider = make_axes_locatable(ax)\n", + "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n", + "_=pl.colorbar(im, cax=cax)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Search for the best parameters at depth = 1 and plot histogram" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "cost(depth= 1 )= 1.555859375\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "qaoaec.increase_depth() #Search for the best parameters at depth = 1\n", + "\n", + "histogram = qaoaec.hist(qaoaec.angles_hist['d'+str(1)+'_final']) \n", + "plot_histogram(histogram)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Compute and print optimal solution with minium cost" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimal solution: 0111 \n", + " With cost: 0.30000000000000004\n" + ] + } + ], + "source": [ + "cost_func = qaoaec.cost\n", + "isFeasible_func = qaoaec.isFeasible\n", + "mincost, solution = computeOptimalSolution(cost_func, isFeasible_func, FR)\n", + "print(\"Optimal solution: \", solution, \"\\n With cost: \", mincost)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Compute and print approximation ratio" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Approximation ratio= 0.20079743774102882\n" + ] + } + ], + "source": [ + "print(\"Approximation ratio=\", mincost/list(qaoaec.costval.values())[0])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Compute and print approximation ratio (SECOND WAY)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Approximation ratio: 0.2932284188201008\n" + ] + } + ], + "source": [ + "approx_ratio = computeAverageApproxRatio(histogram, mincost, cost_func)\n", + "print(\"Approximation ratio: \", approx_ratio)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "environment", + "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": "3.11.4" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/ExactCover/utilities_exactCover.py b/ExactCover/utilities_exactCover.py new file mode 100644 index 0000000..76f5e60 --- /dev/null +++ b/ExactCover/utilities_exactCover.py @@ -0,0 +1,35 @@ +import math +import itertools + +def computeOptimalSolution(minus_cost_func, isFeasible_func, FR): + cost = math.inf + sol = "" + nL = FR.shape[1] + for s in [''.join(i) for i in itertools.product('01', repeat =nL)]: + if isFeasible_func(s): + if -minus_cost_func(s)" ] @@ -45,25 +54,35 @@ } ], "source": [ - "numV=21\n", - "G = nx.read_gml(\"../../data/sample_graphs/w_ba_n\"+str(numV)+\"_k4_0.gml\")\n", + "numV=21 #Number of vertices\n", + "G = nx.read_gml(\"/Users/olaib/QuantumComputing/Data/data/sample_graphs/w_ba_n\"+str(numV)+\"_k4_0.gml\")\n", + "#Data for graph generation is found at https://github.com/OpenQuantumComputing/data\n", + "\n", "pos = nx.spring_layout(G)\n", "nx.draw_networkx(G,pos=pos)" ] }, + { + "cell_type": "markdown", + "id": "f33776cd", + "metadata": {}, + "source": [ + "# Creating QAOA instances " + ] + }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "id": "75d8e6d2", "metadata": {}, "outputs": [], "source": [ - "# Initialize QAOA object\n", + "\n", "alpha = 0.1 # value for CVaR (Conditional Value at Risk)\n", "params={'G': G, 'alpha': alpha}\n", - "qaoamc_cvar = QAOAMaxCut(params=params)\n", + "qaoamc_CVaR = QAOAMaxCut(params=params) #using CVaR\n", "params={'G': G}\n", - "qaoamc = QAOAMaxCut(params=params)" + "qaoamc = QAOAMaxCut(params=params) #not using CVaR" ] }, { @@ -71,12 +90,12 @@ "id": "fabaeff8-5594-4e7e-b620-1c9354761229", "metadata": {}, "source": [ - "min cost is precalculated" + "# Minimum cost is precalculated" ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "id": "9e337fd3", "metadata": {}, "outputs": [], @@ -84,9 +103,17 @@ "mincost=-25.23404480588015" ] }, + { + "cell_type": "markdown", + "id": "9cf2d87b", + "metadata": {}, + "source": [ + "# Sampling cost landscape for all methods" + ] + }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "id": "f10939f8", "metadata": {}, "outputs": [ @@ -113,18 +140,26 @@ "# Evaluating the QAOA circuit with uniformly sampled angles for gamma and beta, just to see how sampling measurements from \n", "# the circuits roughly looks like.\n", "qaoamc.sample_cost_landscape(angles={\"gamma\": [0,np.pi/2,10], \"beta\": [0,np.pi/2,10]})\n", - "qaoamc_cvar.sample_cost_landscape(angles={\"gamma\": [0,np.pi/2,10], \"beta\": [0,np.pi/2,10]})\n" + "qaoamc_CVaR.sample_cost_landscape(angles={\"gamma\": [0,np.pi/2,10], \"beta\": [0,np.pi/2,10]})\n" + ] + }, + { + "cell_type": "markdown", + "id": "4d07da3c", + "metadata": {}, + "source": [ + "# Plotting cost landscape, for both QAOA instances" ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "id": "1b4a83aa", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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", 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", "text/plain": [ "
" ] @@ -144,8 +179,6 @@ } ], "source": [ - "# Visualize expected values for uniformly sampled gamma/beta pairs\n", - "\n", "f = pl.figure(figsize=(6, 6), dpi= 80, facecolor='w', edgecolor='k');\n", "_=pl.xlabel(r'$\\gamma$')\n", "_=pl.ylabel(r'$\\beta$')\n", @@ -161,15 +194,23 @@ "_=pl.ylabel(r'$\\beta$')\n", "ax = pl.gca()\n", "_=pl.title('Expectation value Cvar')\n", - "im = ax.imshow(qaoamc_cvar.E,interpolation='bicubic',origin='lower',extent=[0,np.pi/2,0,np.pi/2])\n", + "im = ax.imshow(qaoamc_CVaR.E,interpolation='bicubic',origin='lower',extent=[0,np.pi/2,0,np.pi/2])\n", "divider = make_axes_locatable(ax)\n", "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n", "_=pl.colorbar(im, cax=cax)\n" ] }, + { + "cell_type": "markdown", + "id": "1dbb2e01", + "metadata": {}, + "source": [ + "# Increasing depth" + ] + }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "id": "a5d7930e", "metadata": {}, "outputs": [ @@ -177,16 +218,16 @@ "name": "stdout", "output_type": "stream", "text": [ - "cost(depth= 1 )= -19.86213520703168\n", - "cost(depth= 1 )= -23.120157440115662\n", - "cost(depth= 2 )= -21.424389278341042\n", - "cost(depth= 2 )= -23.713190968703994\n", - "cost(depth= 3 )= -21.96525262869564\n", - "cost(depth= 3 )= -24.552234374693462\n", - "cost(depth= 4 )= -22.442847548450757\n", - "cost(depth= 4 )= -24.90678358785036\n", - "cost(depth= 5 )= -22.93777331032282\n", - "cost(depth= 5 )= -24.878448391630446\n" + "cost(depth= 1 )= -19.845920386176818\n", + "cost(depth= 1 )= -22.848321803662024\n", + "cost(depth= 2 )= -21.250401043477112\n", + "cost(depth= 2 )= -23.884334193764094\n", + "cost(depth= 3 )= -22.040646245544124\n", + "cost(depth= 3 )= -24.42985229961318\n", + "cost(depth= 4 )= -22.53397611679458\n", + "cost(depth= 4 )= -24.85749481213673\n", + "cost(depth= 5 )= -22.66784925995828\n", + "cost(depth= 5 )= -25.09926540008879\n" ] } ], @@ -194,18 +235,26 @@ "maxdepth=5\n", "for i in range(maxdepth):\n", " qaoamc.increase_depth()\n", - " qaoamc_cvar.increase_depth()" + " qaoamc_CVaR.increase_depth()" + ] + }, + { + "cell_type": "markdown", + "id": "1bcbed36", + "metadata": {}, + "source": [ + "# Plotting the approximation ratio" ] }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 8, "id": "76202992", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -217,7 +266,7 @@ "source": [ "pl.hlines(1, 1,maxdepth, linestyles=\"solid\", colors=\"black\")\n", "pl.plot(np.arange(1,maxdepth+1), np.array(list(qaoamc.costval.values()))/mincost,'o--', label='QAOA')\n", - "pl.plot(np.arange(1,maxdepth+1), np.array(list(qaoamc_cvar.costval.values()))/mincost,'o--', label='QAOA with CVaR')\n", + "pl.plot(np.arange(1,maxdepth+1), np.array(list(qaoamc_CVaR.costval.values()))/mincost,'o--', label='QAOA with CVaR')\n", "pl.ylim(0.5,1.05)\n", "_=pl.ylabel('appr. ratio')\n", "_=pl.xlabel('depth')\n", diff --git a/MaxCut/ComparisonOptimizers.ipynb b/MaxCut/ComparisonOptimizers.ipynb index 062e7af..6af36ef 100644 --- a/MaxCut/ComparisonOptimizers.ipynb +++ b/MaxCut/ComparisonOptimizers.ipynb @@ -1,23 +1,25 @@ { "cells": [ { - "cell_type": "code", - "execution_count": 1, - "id": "f4edc85e", + "cell_type": "markdown", + "id": "41258a01", "metadata": {}, - "outputs": [], "source": [ - "#run: pip install openquantumcomputing\n", - "from openquantumcomputing.QAOAMaxCut import QAOAMaxCut" + "# Comparison of Different Optimizers for QAOA (Max Cut)\n", + "In this notebook different optimizers for the QAOA parameters are compared. The approximation ratios obtained by using the different optimizers are compared, as well as the value of the QAOA parameters. \n", + "\n", + "# Importing necessary modules" ] }, { "cell_type": "code", - "execution_count": 2, - "id": "81310eb6", + "execution_count": 8, + "id": "f4edc85e", "metadata": {}, "outputs": [], "source": [ + "#run: pip install openquantumcomputing\n", + "from openquantumcomputing.QAOAMaxCut import QAOAMaxCut\n", "from qiskit import *\n", "import numpy as np\n", "import networkx as nx\n", @@ -25,18 +27,27 @@ "import matplotlib.pyplot as pl\n", "from mpl_toolkits.axes_grid1 import make_axes_locatable\n", "from matplotlib.ticker import MaxNLocator\n", - "from qiskit.visualization import *" + "from qiskit.visualization import *\n", + "from qiskit_algorithms.optimizers import SPSA, QNSPSA, COBYLA, NELDER_MEAD" + ] + }, + { + "cell_type": "markdown", + "id": "0e9efef7", + "metadata": {}, + "source": [ + "# Creating problem instance" ] }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 9, "id": "eaa8c8a1", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ "
" ] @@ -46,8 +57,10 @@ } ], "source": [ - "numV=10\n", - "G = nx.read_gml(\"../../data/sample_graphs/w_ba_n\"+str(numV)+\"_k4_0.gml\")\n", + "numV=10 #Number of vertices\n", + "G = nx.read_gml(\"/Users/olaib/QuantumComputing/Data//data/sample_graphs/w_ba_n\"+str(numV)+\"_k4_0.gml\")\n", + "#Data for graph generation is found at https://github.com/OpenQuantumComputing/data\n", + "\n", "pos = nx.spring_layout(G)\n", "nx.draw_networkx(G,pos=pos)\n", "mincost=-8.657714089848158" @@ -58,28 +71,18 @@ "id": "e34d181f-6e0c-416a-90d7-2c1747e7e199", "metadata": {}, "source": [ - "set up optimizers so that they have roughly the same number of function evaluations" + "# Setting up the optimizers to use roughly the same number of function evaluations" ] }, { "cell_type": "code", - "execution_count": 4, - "id": "de94a148-0dce-47c0-bfb5-173b63d67b36", - "metadata": {}, - "outputs": [], - "source": [ - "optimizers={}\n", - "plotstyle={}" - ] - }, - { - "cell_type": "code", - "execution_count": 5, + "execution_count": 10, "id": "17216bf6-6f57-4bac-9928-df33ec4d3891", "metadata": {}, "outputs": [], "source": [ - "from qiskit_algorithms.optimizers import SPSA, QNSPSA, COBYLA, NELDER_MEAD\n", + "optimizers={}\n", + "plotstyle={}\n", "\n", "settings = {\n", " \"maxiter\": 70,\n", @@ -118,9 +121,17 @@ "plotstyle[\"cobyla\"] = '*-'" ] }, + { + "cell_type": "markdown", + "id": "2a0d7aea", + "metadata": {}, + "source": [ + "# Creating a QAOA instance for each optimizer" + ] + }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 11, "id": "26cd6c7e-ded7-4b14-9d6d-cb11938eb282", "metadata": {}, "outputs": [], @@ -131,16 +142,16 @@ ] }, { - "cell_type": "code", - "execution_count": null, - "id": "8461f4cd-47d4-4249-b47e-dbbf081b3698", + "cell_type": "markdown", + "id": "eb331d12", "metadata": {}, - "outputs": [], - "source": [] + "source": [ + "# Sample cost landscape for each QAOA instance" + ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 12, "id": "f10939f8", "metadata": {}, "outputs": [ @@ -180,15 +191,23 @@ " qaoa[key].sample_cost_landscape(angles={\"gamma\": [0,np.pi/2,10], \"beta\": [0,np.pi/2,10]})" ] }, + { + "cell_type": "markdown", + "id": "1d22743b", + "metadata": {}, + "source": [ + "# Plot cost landscape for one optimizer method" + ] + }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 13, "id": "1b4a83aa", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -198,20 +217,30 @@ } ], "source": [ + "method = \"cobyla\"\n", + "\n", "f = pl.figure(figsize=(6, 6), dpi= 80, facecolor='w', edgecolor='k');\n", "_=pl.xlabel(r'$\\gamma$')\n", "_=pl.ylabel(r'$\\beta$')\n", "ax = pl.gca()\n", "_=pl.title('Expectation value')\n", - "im = ax.imshow(qaoa[\"cobyla\"].E,interpolation='bicubic',origin='lower',extent=[0,np.pi/2,0,np.pi/2])\n", + "im = ax.imshow(qaoa[method].E,interpolation='bicubic',origin='lower',extent=[0,np.pi/2,0,np.pi/2])\n", "divider = make_axes_locatable(ax)\n", "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n", "_=pl.colorbar(im, cax=cax)" ] }, + { + "cell_type": "markdown", + "id": "c2e573cb", + "metadata": {}, + "source": [ + "# Increasing depth for each QAOA instance" + ] + }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 14, "id": "a5d7930e", "metadata": {}, "outputs": [ @@ -219,46 +248,46 @@ "name": "stdout", "output_type": "stream", "text": [ - "cost(depth= 1 )= -6.927910043501388\n", - "cost(depth= 1 )= -6.9174477271748716\n", - "cost(depth= 1 )= -7.021253729878198\n", - "cost(depth= 1 )= -6.8742157370885\n", - "cost(depth= 2 )= -7.402594431974419\n", - "cost(depth= 2 )= -7.476097057751611\n", - "cost(depth= 2 )= -7.497841178375399\n", - "cost(depth= 2 )= -7.442152765412646\n", - "cost(depth= 3 )= -7.808307432029209\n", - "cost(depth= 3 )= -7.671007997898861\n", - "cost(depth= 3 )= -7.7242136386664\n", - "cost(depth= 3 )= -7.752831864992368\n", - "cost(depth= 4 )= -7.959783036898415\n", - "cost(depth= 4 )= -7.8612947991505715\n", - "cost(depth= 4 )= -7.834613892747666\n", - "cost(depth= 4 )= -7.897444057950619\n", - "cost(depth= 5 )= -8.099464844729063\n", - "cost(depth= 5 )= -8.00954484654466\n", - "cost(depth= 5 )= -7.988588287115011\n", - "cost(depth= 5 )= -8.073556297441382\n", - "cost(depth= 6 )= -8.199685617695694\n", - "cost(depth= 6 )= -8.154802165453955\n", - "cost(depth= 6 )= -8.0475178711278\n", - "cost(depth= 6 )= -8.169165586659357\n", - "cost(depth= 7 )= -8.200341268570526\n", - "cost(depth= 7 )= -8.215722589209197\n", - "cost(depth= 7 )= -8.043119902346062\n", - "cost(depth= 7 )= -8.21415523087245\n", - "cost(depth= 8 )= -8.246936079785458\n", - "cost(depth= 8 )= -8.277798936697781\n", - "cost(depth= 8 )= -8.037534506849287\n", - "cost(depth= 8 )= -8.308924039212496\n", - "cost(depth= 9 )= -8.313515865699632\n", - "cost(depth= 9 )= -8.286415351520148\n", - "cost(depth= 9 )= -8.10070508364371\n", - "cost(depth= 9 )= -8.305980731311186\n", - "cost(depth= 10 )= -8.339101588877446\n", - "cost(depth= 10 )= -8.337224006060433\n", - "cost(depth= 10 )= -8.19107042113644\n", - "cost(depth= 10 )= -8.324478323345417\n" + "cost(depth= 1 )= -6.95022734519229\n", + "cost(depth= 1 )= -6.934077073105\n", + "cost(depth= 1 )= -7.05422470105697\n", + "cost(depth= 1 )= -6.879729864387171\n", + "cost(depth= 2 )= -7.489907453799508\n", + "cost(depth= 2 )= -7.4589843315519\n", + "cost(depth= 2 )= -7.579995133337515\n", + "cost(depth= 2 )= -7.54408070086928\n", + "cost(depth= 3 )= -7.754382497968987\n", + "cost(depth= 3 )= -7.587095519876228\n", + "cost(depth= 3 )= -7.780793586237203\n", + "cost(depth= 3 )= -7.732553901455373\n", + "cost(depth= 4 )= -7.943169517698906\n", + "cost(depth= 4 )= -7.850090761065233\n", + "cost(depth= 4 )= -7.861569254922865\n", + "cost(depth= 4 )= -7.765339422885894\n", + "cost(depth= 5 )= -8.02381357355264\n", + "cost(depth= 5 )= -8.005762031006585\n", + "cost(depth= 5 )= -8.032345224527617\n", + "cost(depth= 5 )= -7.929559865432195\n", + "cost(depth= 6 )= -8.16282271078206\n", + "cost(depth= 6 )= -8.164035801481416\n", + "cost(depth= 6 )= -8.047980300762072\n", + "cost(depth= 6 )= -8.09181310078379\n", + "cost(depth= 7 )= -8.211875004688231\n", + "cost(depth= 7 )= -8.257074483188484\n", + "cost(depth= 7 )= -8.054560564107858\n", + "cost(depth= 7 )= -8.115224464491554\n", + "cost(depth= 8 )= -8.274827508498728\n", + "cost(depth= 8 )= -8.239700297437606\n", + "cost(depth= 8 )= -8.106656947275757\n", + "cost(depth= 8 )= -8.217034896671416\n", + "cost(depth= 9 )= -8.335636307851413\n", + "cost(depth= 9 )= -8.308980943335866\n", + "cost(depth= 9 )= -8.201133334903641\n", + "cost(depth= 9 )= -8.313829306771376\n", + "cost(depth= 10 )= -8.378942225978479\n", + "cost(depth= 10 )= -8.35120190016776\n", + "cost(depth= 10 )= -8.148186436827475\n", + "cost(depth= 10 )= -8.327247883860426\n" ] } ], @@ -269,15 +298,23 @@ " qaoa[key].increase_depth()" ] }, + { + "cell_type": "markdown", + "id": "31d6f857", + "metadata": {}, + "source": [ + "# Plotting the approximation ratios" + ] + }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 15, "id": "bc7d5abb", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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" ] @@ -299,15 +336,23 @@ "ax.xaxis.set_major_locator(MaxNLocator(integer=True))" ] }, + { + "cell_type": "markdown", + "id": "c68bf8dc", + "metadata": {}, + "source": [ + "# Plotting the values for the parameters" + ] + }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 16, "id": "b843158e", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -328,15 +373,23 @@ "ax.xaxis.set_major_locator(MaxNLocator(integer=True))" ] }, + { + "cell_type": "markdown", + "id": "881d8034", + "metadata": {}, + "source": [ + "# Plotting the number of function evaluations used by each optimizer" + ] + }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 17, "id": "c22bded6", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -355,14 +408,6 @@ "_=pl.legend()\n", "ax.xaxis.set_major_locator(MaxNLocator(integer=True))" ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "cb9f1295-d287-41e0-88a6-2e8a1a7053a7", - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { diff --git a/MaxCut/ToyExampleQOA.ipynb b/MaxCut/ToyExampleQOA.ipynb index 363eef0..e872bec 100644 --- a/MaxCut/ToyExampleQOA.ipynb +++ b/MaxCut/ToyExampleQOA.ipynb @@ -1,23 +1,25 @@ { "cells": [ { - "cell_type": "code", - "execution_count": 1, - "id": "f4edc85e", + "cell_type": "markdown", + "id": "671aa2a8", "metadata": {}, - "outputs": [], "source": [ - "#run: pip install openquantumcomputing\n", - "from openquantumcomputing.QAOAMaxCut import QAOAMaxCut" + "# QAOA for Max Cut, Toy Example\n", + "In this notebook the QAOA method is used to solve a small max cut problem. The quantum circuit used is shown and the approximation ratio for depth = 1 is computed. \n", + "\n", + "# Importing necessary modules" ] }, { "cell_type": "code", - "execution_count": 2, - "id": "81310eb6", + "execution_count": 7, + "id": "f4edc85e", "metadata": {}, "outputs": [], "source": [ + "#run: pip install openquantumcomputing\n", + "from openquantumcomputing.QAOAMaxCut import QAOAMaxCut\n", "from qiskit import *\n", "import numpy as np\n", "import networkx as nx\n", @@ -32,18 +34,18 @@ "id": "afc54384-89ef-474e-aa49-b43a9896726f", "metadata": {}, "source": [ - "Create a graph instance" + "# Creating problem instance" ] }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 8, "id": "eaa8c8a1", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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bqBzDABFRHSsqKsK4cePw8ccfY/HixVi8eDHUav45NjXDRAHDQOU4TUBEVIcyMzPx5JNPIjo6Ghs3bsTIkSPlLslq8YwC4zEMEBHVkRs3bmDgwIFISkrC/v370adPH7lLsnqCIODUqVNyl2H2uC5FRFQHEhISEBQUhIyMDERHRzMI1BFOFBiHYYCIqJYdPXoUPXv2RIMGDRAbG1vc2Ea1TxRFThQYgWGAiKgWff/99xgwYAC6dOmCqKgoNGvWTO6SFMVwRgH7BirGMEBEVEs+++wzjBo1CiNGjMDu3bvh5uYmd0mK07x5c7i4uHCioBIMA0REJqbX6zF9+nS89tprePvtt7F27VrY2dnJXZYi8YwC43CagIjIhAoKCjBu3Dj8+OOPWLp0KV588UW5S1I8URTx22+/yV2GWePKABGRiWRkZOCxxx7Dzp07sWXLFgYBMyEIAicKKsEwQERkAklJSejRowfOnj2LQ4cO4YknnpC7JPqbKIrIy8vDtWvX5C7FbDEMEBHV0G+//Ybu3bsjPz+/+ChiMh+GiQL2DZSPYYCIqAYOHTqEXr16oUmTJoiNjYW/v7/cJdF9vLy84OLiwvHCCjAMEBFV0/r16xEWFobg4GAcOXIEDz30kNwlURk4UVA5hgEioiqSJAkLFy7E2LFjMXbsWOzcuRMuLi5yl0UV4IFFFWMYICKqAp1Oh2nTpuGdd97BrFmzsGrVKtja2spdFlVCFEUkJiZyoqAc3GeAiMhI+fn5ePrpp7Fz50589dVXeO655+QuiYwkCELxREHLli3lLsfsMAwQERkhNTUV4eHh+O2337B9+3YMGjRI7pKoCgyHQyUmJjIMlIGXCYiIKnHlyhX06NEDly9fxpEjRxgELJCXlxecnZ3ZRFgOhgEiogr8/PPPCAoKgl6vR2xsLAICAuQuiarBMFHAJsKyMQwQEZVjz5496NOnD3x8fBATEwNfX1+5S6IaEEWRKwPlYBggIirD6tWrMWTIEISEhODw4cNo1KiR3CVRDfGMgvIxDBARlSBJEt5//31MnDgRkyZNwtatW+Hk5CR3WWQCoigiNzcXSUlJcpdidhgGiIj+ptVq8cILL2D27Nn48MMPsWzZMmg0HLqyFjyjoHwMA0REAHJzc/HEE0/g66+/xpo1azBz5kyoVCq5yyIT8vb2hrOzM5sIy8DIS0SKl5KSgkGDBuH8+fPYtWsXBgwYIHdJVAtUKhXatWvHlYEyWFUYyC3U4mpaLoq0ethp1PDxcIKTvVV9i0RkYpcuXUJoaCjy8vIQFRWFTp06yV0S1SJOFJTN4j8pLyVnY318EiIvpCApPQ9SidtUALzdHRHi74kxgd5o3ZgHiRDRP+Lj4zF48GA0bNgQhw4dgo+Pj9wlUS0TBAE//PAD9Ho91GpeKTew2DBwPT0PM7aewbHLqbBRq6DTSw/cRwJwLT0P6+KvYU3sVfTya4j5Q9vDy92x7gsmIrOyY8cOjB49Gp07d8aOHTvg7u4ud0lUBwwTBdevX0eLFi3kLsdsWGQs2ngyCf0/O4qYK2kAUGYQKMlwe8yVNPT/7Cg2nuRYCZGSLV++HEOHDkVYWBgOHDjAIKAghjMKeKmgNIsLA0sjL+HtLWdQqNVXGgLup9NLKNTq8faWM1gaeamWKiQicyVJEmbOnIkpU6bgxRdfxPfffw8HBwe5y6I65OXlBScnJ04U3MeiLhNsPJmERfsvmuS5Fu2/iEbO9hgV4G2S5yMi83b37l1MmjQJa9euxccff4w33niDo4MKpFarIQgCVwbuYzFh4Hp6HmbvKP/N0xflIyt+CwpvXkDRrYvQF+TAY+CrcP5X/3IfM2tHAoJ9G7KHgMjKZWdnY9iwYThy5AjWr1+Pp59+Wu6SSEYMAw+ymMsEM7aegbaCywL6vCxkHt+Au2nXYetp3FnVWr2EGVvPmKpEIjJDt27dQu/evREfH499+/YxCBBEUURiYiIkqWqXmq2ZRYSBS8nZOHY5tcIeARtndzSftg7Np36NBiETjHpenV7CscupuJySbapSiciMnDt3DkFBQbh9+zaio6MREhIid0lkBgRB4BkF97GIMLA+Pgk26oqv7ak0trBxblDl57ZRq/BtHP+HILI20dHR6NGjB5ydnREbG4v27dvLXRKZCcNEAZsI/2ERYSDyQkqVJweMpdNLiLyYUivPTUTy2Lx5M/r3748OHTogOjoaXl5ecpdEZsTb2xtOTk7sGyjB7MNATqEWSel5tfoaSWl5yC3U1uprEFHdWLJkCUaMGIGhQ4di7969qF+/vtwlkZlRq9Vo164dVwZKMPswcC0tF7Xd4iEBuJqWW8uvQkS1Sa/X480338Qrr7yC119/HevXr4e9vb3cZZGZ4hkFpZl9GCjS6q3qdYjI9AoLCzFmzBh8+umn+Pzzz/HJJ59w33mqkCAInCgowez3GbDT1M0vdF29DhGZ1p07dzB06FDExsbi+++/x/Dhw+UuiSyAKIrIycnB9evX4e3NzefMPgz4eDhBBdTqpQJJkjBr+hT0COyK7t27o1OnTtyilMgC/PnnnwgLC8ONGzdw4MAB9OrVS+6SyEIIggDg3hkFDAMWEAac7DXwdnfEtVpsInRBPm7f+hPvvrsN+fn50Gg06NixI7p3747AwEB0794dvr6+3LqUyIycPXsWYWFhUKvVOH78ONq1ayd3SWRBWrRoAUdHRyQmJiIsLEzucmRn9mEAAEL8PbEu/lql44VZP++EviAXupx0AED+5RPQZqcCAFy7DIG6ntMDj7FRqzA8UMCchVG4e/cuzp49i7i4OMTFxeHAgQNYunQpAMDDw6M4GHTv3h0BAQHsUiaSSWRkJIYOHQofHx/s3r0bTZs2lbsksjCGiQI2Ed6jkozonsjKyoKbmxsyMzPh6upaF3WVcik5G49+HlXp/f78cgJ0WWXvGdBs8ipo6jcu87aD03vDz9OlzNvS09Nx4sQJxMfHIy4uDvHx8cjIyAAAtGvXrtTqgSiK0GgsIl8RWayNGzdi/Pjx6NOnD3788UdZ/iaRdRg/fjwuXLiAuLg4uUupNcZ+flvEJ1frxi7o5dcQMVfSKlwdaD51dZWe10atQnArj3KDAAC4u7sjNDQUoaGhAO71F1y6dKl49SA+Ph5r166FTqeDo6MjAgICSgWEJk2aVKkmIiqbJEn49NNP8eabb2LcuHFYsWIF7Ozs5C6LLJgoiti6dSskSVL8ZWCLWBkA7p1a2P+zoyg04QigvUaNg9P71PjUwry8PPz888/FqwdxcXG4ceMGgHs7XZW8vMDmRKKq0+l0eO2117BkyRLMmDEDH374oeL/eFPNRUREYMiQIUhKSrLaXSqtamUAALzcHTE3XMTbW0x3yuD74aJJji92dHREr169SnUy//nnn6UuLbz77rtsTiSqhvz8fDzzzDPYunUrli1bhsmTJ8tdElkJwxkFCQkJVhsGjGUxYQAARgd4IzWnEIv2X6zxc705wB+jAmpvnKR58+Zo3rw5hg0bBgAPNCfu37+fzYlElUhPT0d4eDh++eUXbN26FeHh4XKXRFbEMFGQkJBQfClYqSzmMkFJG08mYfaOBGj1UpUOMLJRq6BRq/B+uFirQcBYbE4kKt/Vq1cRFhaG27dvIyIiAt27d5e7JLJCXbt2RYcOHbBq1Sq5S6kVxn5+W2QYAO71EMzYegbHLqfCRq2qMBQYbu/l1xDzh7Y3yaWB2lBWc+Jvv/32QHOiISSwOZGs1alTpxAWFgYHBwfs3bsXbdq0kbskslLjxo3DxYsXrXaiwOrDgMGl5Gysj09C5MUUJKXlld6pUJLQoqETQtp4Ymx37wqnBswVmxNJaQ4cOIAnn3wSbdu2RUREBBo3LnskmMgUPvroI8ybNw+ZmZlW2bulmDBQUm6hFlfTclGk1eOHjRvwf/PeRXZGqtUdWHJ/c+JPP/3E5kSyCmvXrsXEiRMxYMAAbNq0Cc7OznKXRFbO2icKrG6awBhO9hqITd0AACkdfLEgKwN//PEHfH19Za7MtMpqTjxz5kxxQGBzIlkaSZKwYMECzJw5ExMnTsTy5cvZI0N1wnBGQWJiolWGAWNZ7W+bYWQkMTHR6sLA/WxtbdG5c2d07twZU6ZMAfBPc6Jh9eCzzz5jcyKZJa1Wi5deegnLly/HnDlzMGvWLK5mUZ3x8fGBg4MDEhIS8Nhjj8ldjmys9hOgWbNmcHV1RUJCAoYMGSJ3OXXu/p0T9Xo9Ll26VKr3oKydE9mcSHUpLy8Po0ePxu7du7Fq1SpMmDBB7pJIYQxnFCQmJspdiqysNgyoVCoIgqD4N9hArVbD398f/v7+GDduHIB/mhMNqwfffvstPvroIwBsTqTad/v2bQwZMgRnz57Fzp07eXIcyUYURcUfWGS1YQC4dy3o1KlTcpdhtirbOTEuLo47J1Kt+P333xEaGoqsrCwcOXIEXbt2lbskUjBBELB9+3ZFn1Fg1WFAFEVs2LABer3e6iYKakt5zYmG1QM2J1JNnTx5EoMGDUL9+vURGxuLVq1ayV0SKZwoisjKysKNGzfQvHlzucuRhdWHgfz8fFy9epV/cKqpZHPi1KlTATzYnLh48WLcuXMHAJsTqWK7du3CyJEj8a9//Qs7d+5Ew4YN5S6JqHiiICEhgWHAGpV8gxkGTKcqzYlOTk7o2rUrmxMJK1euxOTJkzF48GB89913cHQ0z51ASXlatmwJBwcHJCYmKnaiwKrDQPPmzeHi4oLExERFThTUFWOaE9etW1eqObHk6kHnzp1Rr149Ob8FqkWSJGHu3LmYO3cupkyZgv/+97+wsbGRuyyiYoaJAiU3EVp1GDBMFCj5DZZLVZoTbW1t0aFDBzYnWqG7d+9i8uTJWL16NRYsWID//Oc/fF/JLCl9+syqwwBwr2/gt99+k7sMApsTlSYnJwcjRozAwYMHsXbtWjzzzDNyl0RULlEUsWPHDsVOFFh9GBAEARs3buREgRmqrDkxLi6OzYkWKjk5GYMGDcLFixexZ88e9O/fX+6SiCokCIKiJwqs/i+pKIrIy8vDtWvX0LJlS7nLoUqU15xoWD1gc6L5u3DhAsLCwlBQUICoqCh07NhR7pKIKlVyC3uGAStkeIMTEhIYBixQyebE8ePHAyjdnBgXF8fmRDMSGxuLIUOGwNPTE0eOHIG3t7fcJREZxcfHB/Xq1UNCQgIGDBggdzl1zurDQMmJgsGDB8tdDplAec2JJVcP2JxY97Zt24annnoKAQEB2L59Oxo0aCB3SURGs7GxUfQZBVYfBjhRoAzNmzfH8OHDMXz4cABVa07s1q0b3Nzc5Czf4n355Zd46aWX8OSTT2LdunVcjSGLpOTPCqsPA8C9N/j06dNyl0F1iM2JdUOv12PGjBn46KOP8Morr2Dx4sVs1CWLJYoiIiIiFDlRoIi/dqIoYtOmTZwoUDg2J5pWUVERJk6ciG+//RaffvopXnvtNblLIqoRURSRmZmJmzdvolmzZnKXU6cUEQYEQeBEAT2grObE3Nxc/PLLL4ppTswt1OJqWi6KtHrYadTw8XCCk33lfxaysrIwbNgwREVFYePGjRg1alQdVEtUuwxb2CcmJjIMWKOSIyMMA1QRJyenSpsTZ86ciYKCAottTryUnI318UmIvJCCpPQ8SCVuUwHwdndEiL8nxgR6o3Vjlwcef/PmTYSFheHatWvYt28f+vbtW1elE9Wqli1bFk8UPProo3KXU6dUkiRJld0pKysLbm5uyMzMhKura13UZVKSJMHV1RXvvfce3nrrLbnLIQtXsjnREBIuXrwIwLybE6+n52HG1jM4djkVNmoVdPryf/UNt/fya4j5Q9vDy/3eoUKJiYkIDQ2FJEnYu3dvcdAmshadOnVC165dsWLFCrlLMQljP78VEQYAIDAwEO3atcOaNWvkLoWsUFpaGk6cOFG8ehAfH29WzYkbTyZh9o4EaPVShSHgfjZqFTRqFeaGi2iafxWPP/44vLy8sGfPHsUto5IyjB07Fn/88QeOHz8udykmYezntyIuEwD3LhWcOXNG7jLISnl4eCAsLAxhYWEASjcnGsKBXM2JSyMvYdH+i9V6rO7v8PD2ljPIjl6Pzp07Y8uWLWaz2kFkaoIgKHKiQDFhQBAEThRQnSmvOfHnn38uXj2oi+bEjSeTygwChbcuIvfMIRQknYE2MxlqB1fYN/VH/d7PwNa97H/xu/QcgwnhAoMAWTXDRMGtW7fQtGlTucupM4oJA4YzCpKSkuDj4yN3OaRATk5O6N27N3r37l38NUNzomH1oKzmRENIqGpz4vX0PMzeUfYGKllxP6Lwz3NwbNsTtp4+0OVkIPuXCNz6+hU8NG4R7Br5lPm493efR2//xsU9BETWpuQW9koKA4rpGbh27Rp8fHwQERGBQYMGyV0OUZnu3r2L06dPl+o9KNmcWHL1oLLmxGdWxSPmSlqZPQIFf56DfRM/qGxs/3nt9Bu4uWoanNr2QMMhb5T5nDZqFYJbeWDdxMAafqdE5kmn08HZ2RkLFy7EK6+8Inc5Ncaegft4e3vD2dkZiYmJDANktmxtbdGlSxd06dKleOfE+5sTDTsnqlQqtG3bttTqgaE58VJyNo5dTi33deo1b/fga7s3g11Db9xNvV7u43R6Cccup+JySjb8PB8cOySydDY2Nmjbtq3itiVWTBhQqVRo166d4t5gsnxVbU4MCAiAJvApqFVNoYfxlxUkSYIu7w5sG1Z80qCNWoVv45IwJ5xjhWSdlHhGgWLCAHDvWpDS3mCyPsY0J/6UbQuVa9U6oXMTjkCXnYb6PcdUeD+dXkLkxRTMAcMAWSdRFLF7925FTRQoqq1eFEUkJiZCr9fLXQqRSRmaE9988018890mqF09q/T4u2nXkX5gGeybtYVT+0cqvX9SWh5yC7XVLZfIrAmCgDt37uDWrVtyl1JnFBUGBEFAbm4url8v/5ookaW7lpYL47cVAnQ5GUj5YS7U9k5o+MQ7UKltKn2MBOBqWm61ayQyZyW3sFcKRYWBkiMjRNaqSGv8ype+IBfJ38+GviAXniPnQuPiUSuvQ2RJWrVqBXt7e0V9VigqDHh5ecHJyUlRbzApj53GuF9rSVuElB/fhzbjBjxHzIJdJY2D98tIuw0jJpOJLI5hokBJKwOKaiBUq9UQBEFRbzApj4+HE1RAhZcKJL0Ot7d9hMKb5+E57F3YN3tw1LAikiShf2AHNGnkjsDAwOK9D7p06QJnZ+ca1U9kDpTWcK6oMAAoc2SElMXJXgNvd0dcS88r9z4Zh1ch/3I8HPy6QZefg5yzkaVud344pMLX8KpfD//3/Ybi6YUPPvgAubm5UKvVePjhh4v3PTAcEMYtwMnSCIKAPXv2KGaiQHFhQBRF/Pjjj4p5g0mZQvw9sS7+WrknFBYlXwEA5F8+gfzLJx64vaIwYKNWob/QBE+Ei3jiiScA3Nu1LTExsXjfg5iYGKxYsaL4+PCAgIDi1YPAwEB4elZt2oGoromiiIyMDPz111+1epCYuVDMdsQGu3btwuDBg3H16lW0aNFC7nKIasWl5Gw8+nlUrT3/wem9K92BMCsrCz/99FOprZWTk5MBAD4+PqVWDzp16mSSg5mITOXixYvw9/fHgQMH0L9/f7nLqTZuR1yOkiMjDANkrVo3dkEvv4blnk1QXYazCYzZitjV1RX9+vVDv379ANzrM0hKSioOBvHx8di6dSsKCwtha2uLjh07llo9qOrBTESmZJgoSExMtOgwYCzFhQFvb+/iiQLD9q5E1mj+0PYIWXQYkgSTfahq1CrMH9q+Wo9VqVRo0aIFWrRogVGjRgEAioqKSh3MtG/fPixduhTAvW2YDSsHgYGB6NatGxo0aGCS74OoMhqNBv7+/orpMVNcGFCr1TyjgKyeJElY/9USJO+KhMfAl032vO+HiyY9vtjOzg5du3ZF165d8eKLLwIofTBTfHw8Pv/8c2RkZAAA/P39S60etG/fHra2thW9BFG1GXatVQLFhQFAWW8wKY9Op8PLL7+ML7/8ErNmzULDPm3w6YGLNX7eNwf4Y1RA1fYiqI77D2aSJAmXLl0q1Xvw3XffQavVwsHBAV26dCk13ti8eXNeXiCTEEURe/fuVUTDuSLDgCAI2Lx5syLeYFKW/Px8PP3009ixYwe++uorPPfccwCARi72mL0jAVq9VKUeAhu1Chq1Cu+Hi3USBMqiUqnQpk0btGnTBs888wyAe9/nL7/8Urx68MMPP+DTTz8FADRp0qTU6kHXrl259wFViyAIyMjIQHJyMh566CG5y6lVigwDoigiJycH169fh7e3PH/giEwtLS0N4eHhOHXqFLZv347BgwcX3zY6wBs9fBtixtYzOHY5FTZqVYWhwHB7cCsPzB/a3qSXBkzBwcEBPXr0QI8ePYq/9tdff5VaPfjwww+Rk5NTvPdBydUD7n1Axii5hb21hwHFjRYCwB9//IFWrVph9+7dbCIkq/DHH38gLCwMaWlp2LVrF7p161bufS8lZ2N9fBIiL6YgKS2v1E6FKgDeHo4IaeOJsd29jZoaMFeGvQ8MqwdxcXFISEiAJElwcXFBt27dSjUoNm7cWO6SycxotVo4OTnhk08+wcsvm673pi4Z+/mtyDCg1+vh4uKC999/H6+//rrc5RDVyC+//IKBAwfC2dkZe/fuhZ+fn9GPzS3U4mpaLoq0ethp1PDxcIKTvfUuGGZnZ+Onn34qXj2Ii4srtfdBydUD7n1AANChQwcEBQVh+fLlcpdSLdxnoAKGMwo4UUCWbv/+/Rg2bBjatWuHiIiIKu/s52SvgdjUrZaqMz8uLi4ICQlBSMi9HRYNex+UXD3Yvn07CgoKYGtriw4dOhT3HnTv3p17HyiQUj4rFBkGAPDAIrJ433zzDSZNmoQBAwbg+++/h5OTk9wlWZySex+MHDkSAHD37l2cPn26ePVg//79pfY+6NatW3FA4N4H1k8URezbt8/qG84VGwZEUcTWrVut/g0m6yNJEhYsWICZM2di0qRJWLZsGTQaxf4qm5ytrS26dOmCLl26FO99kJ6eXrz3QVxcXJl7Hxj++9e//sW9D6yIUiYKFPsXRBAEZGdnc6KALIpOp8O0adOwfPlyzJkzB7NmzWKYrQPu7u4IDQ1FaGgogHuB7PLly6W2VjbsfVCvXj106dKl1NkLXl5efJ8sVMkt7BkGrFDJN5hhgCxBXl4ennrqKezatQsrV67ExIkT5S5JsVQqFVq3bo3WrVuX2vvg119/LV49+PHHHx/Y+8DQe8C9DyyHr68v7OzskJCQUHzOhjVSbBho0aIFHB0dkZCQUJz2icxVamoqhgwZgtOnT2PHjh0YOHCg3CXRfRwcHBAcHIzg4ODirxn2PjD8N2/evOK9D0RRLLV60K5dO9jY2Mj4HVBZDGcUWHuPmWLDgOGMAmt/g8nyXblyBaGhobhz5w6OHDmCgIAAuUsiIz300EN4/PHH8fjjjwO4d5nn3LlzxasHcXFxWLVqVfG4c0BAQKndE7n3gXkQRdHqJwoUGwYA5YyMkOX6+eefMXDgQLi6uiI2Nha+vr5yl0Q1YGNjg4cffhgPP/xw8WUew94HhtWDr7/+GgsWLABwbwWz5OpB586dufeBDARBwP79+6264VzRYUAURWzbts2q32CyXHv37sXw4cMhiiIiIiLQqFEjuUuiWlDW3gfXr18vtbXy/XsflFw98PPz49+vWiaKItLT05GSkmK1qzWKDwPZ2dn4888/4eXlJXc5RMXWrFmDSZMmISwsDBs3buQeAgqiUqng7e0Nb29vjBgxAsA/ex8YVg8OHDiAL774AsC9SYeSo43dunWDu7u7nN+C1REEAcC9MwoYBqxQyTeYYYDMgSRJmDdvHt577z08//zz+OKLL7iHAJXa+2Dq1KkA7u19cPLkyeLVgyVLliA9PR0A0KZNm1KrB9z7oGb8/PxgZ2eHxMREq50oUPRfGR8fHzg4OCAxMZETBSQ7rVaLF198EV999RU++OADzJw5k8u/VC53d3c89thjeOyxxwD8s/dBya2VN2zYUGrvg5Ljjdz7wHiGiQJr7jFTdBgwTBRY8xtMliE3NxejR4/Gnj17sHr1avz73/+WuySyMCX3Phg7diwAoKCgAL/++mvx6sGWLVuwePFiAPcmHUquHnTt2hUuLpZ7SmVts/Yt7BUdBoB7fQPW/AaT+bt9+zaGDBmCs2fPIiIigqtUZDL16tVDUFAQgoKCir+WnJxcavVg/vz5yM7OLt77oOTqAfc++Icoijh48KDVNpwrPgwIgoDt27db7RtM5u33339HaGgosrKycPToUXTp0kXuksjKNW7cGOHh4QgPDwdwb++D8+fPl9paefXq1dDr9XB2dkZAQECp8UZr3pK3IoIgIC0tzWonChQfBkRRRFZWFm7cuIHmzZvLXQ4pyMmTJzFo0CDUr18fsbGxaNWqldwlkQLZ2NhAFEWIoli890FOTk7x3gdxcXFYs2ZNqb0PSl5e6NSpExwcHOT8FupEyS3sGQaskOENTkhIYBigOrN7926MGDEC//rXv7Bz5040bNhQ7pKIijk7O6Nv377o27cvgHvNiX/++Wep1YMZM2agoKAAGo0GHTt2LDXe2Lp1a6tbafX19YWtrS0SEhKK94SwJooPAyUnCgxduUS1adWqVXjhhRcwaNAgbNiwAY6OjnKXRFQhlUoFLy8veHl5ldr74MyZM8WrBwcPHiy190G3bt2KVxCsYe8DW1tb+Pv743TiBSTczESRVg87jRo+Hk5wsrf8j1KVJElSZXfKysqCm5sbMjMz4erqWhd11akuXbqgU6dOWLlypdylkBWTJAnvv/8+5syZg8mTJ+O///0v9xAgq5KRkYETJ06UalC8f+8DQ0CwpL0PLiVnY318EjZEnUahxgUoseqhAuDt7ogQf0+MCfRG68bmNZFh7Oc3wwCAZ555BpcvX0ZsbKzcpZCV0mq1mDJlClauXIl58+bhnXfesbplVKL7SZKE33//vdTWyqdOncLdu3dRr149dO7cuVRzore3t1n9XlxPz8OMrWdw7HIqbNQq6PTlf1wabu/l1xDzh7aHl7t5rPgxDFTBwoULsWDBAty5c8es/kck65Cbm4tRo0Zh3759WLlyJcaPHy93SUSyMex9UHL14OrVqwD+2fvAsHog594HG08mYfaOBGj1UoUh4H42ahU0ahXmhosYHeBdixUax9jPb65R4t7ICCcKqDakpKRg8ODBOHfuHHbt2oUBAwbIXRKRrMrb++DEiRPFqwcLFixAdnY2VCoVRFEstXogCEKt732wNPISFu2/WK3H6v4OD29vOYPUnEJMC2lt4upqB1cGcG/W28/PD/v27eMfazKZy5cvIzQ0FLm5udi1axc6d+4sd0lEFsGw90HJ1YOzZ8+W2vug5HijKfc+2HgyCW9vOWOy5/voyfYYJeMKAS8TVIFOp4OzszPmz5+P6dOny10OWYETJ05g8ODBcHd3x969e+Hj4yN3SUQWLScnBz///HPx6kFcXBxu3boFAPD29i61etC5c+dq7X1wPT0P/T87ikKtvtL7ZsZswp2odbBt6I2mk74s9372GjUOTu8jWw8BLxNUgY2NDdq1a8dtickkIiIiMGrUKHTo0AE7d+6Eh4eH3CURWTxnZ2f06dMHffr0AfDP3gclVw/effdd5OfnQ6PRoEOHDqVWD4zZ+2DG1jPQGtEfoM1KRWbs91DZ1qv8vnoJM7aewbqJgcZ9ozJhGPibKIo8sIhqbMWKFZg8eTLCw8Px3XffKWJnNiI5lNz7YPjw4QDu7X1w9uzZ4tWDw4cP48sv7/2rvUGDBqU2RgoMDCy198Gl5Gwcu5xq1GtnRK6CfVN/SHo99PlZFd5Xp5dw7HIqLqdkw8/TvMYOS1LLXYC5EAQBCQkJMOKqCdEDJEnC7Nmz8fzzz2Py5Mn48ccfGQSI6pitrS06deqEKVOmYM2aNTh37hzS09Oxb98+TJ8+HWq1GkuXLsXAgQPh4eGBNm3a4JlnnsEXX3yBxTtPwkZd+TRZQdJZ5J0/jgaPPG90XTZqFb6NS6rJt1bruDLwN8MZBTdv3kSzZs3kLocsyN27dzF58mSsXr0aCxYswH/+8x+OqBKZiQYNGmDAgAHFzeGSJOHKlSultlbetGkTGk34ArYNmlb4XJJeh/QDy+HcYQDsPH2MrkGnlxB5MQVzINbkW6lVDAN/EwQBwL0zChgGyFg5OTkYOXIkDhw4gLVr1+KZZ56RuyQiqoBKpYKvry98fX0xZswYAEBqZg66Ljxa6WNzft0DbdZtNH5qXpVfNyktD7mFWrPdupiXCf7WsmVL1KtXj02EZLTk5GT07dsX0dHR2L17N4MAkYVKztVVeh9dfhbuHFuP+sGjYOPoVuXXkABcTcutRnV1wzwjigxsbGzQtm1bNhGSUS5evIiwsDDk5eUhKioKHTt2lLskIqqmIiNGCe9ErYPawRkuXYfU6uvIhSsDJYiiyJUBqlRcXByCg4NhZ2eH2NhYBgEiC2enqfij8G76DeSc2geXLuHQZadDeycZ2jvJkHR3Iel10N5Jhi4/u8avIyeuDJQgiiIiIiIgSRIbwKhMO3fuxKhRo9C5c2fs2LHD4o9lJSLAx8MJKtxbyi+LLjsNkPTIOPg/ZBz83wO331g+ES5dw+Hev/wJA9Xfr2OuGAZKEAQBmZmZuHXrFpo2rbirlJTnf//7H6ZOnYonnngC3377LUcHiayEk70G3u6OuJaeV+btto1aoNGTMx/4+p2oddAX5cO9//PQ1G9S4Wt4eziabfMgwMsEpYjivbEP9g1QSZIk4b333sPkyZMxdepUfP/99wwCRFYmxN+z3H0GbBzd4Ngm6IH/1A6uUNs5wLFNUIWjhjZqFULaeNZS5abBMFCCYaKAYYAM7t69iwkTJuDDDz/ERx99hCVLltT6iWlEVPfGBHpX6ajiqtDpJYztLv9xxhUx3zULGRgmCthESACQnZ2NESNG4PDhw1i/fj2efvppuUsiolrSurELevk1RMyVNKNDwUNjFlZ6Hxu1CsGtPMx6K2KAKwMPMGxLTMr2119/oW/fvoiJicGePXsYBIgUYP7Q9tAYsSVxVWjUKswf2t6kz1kbGAbuYxgv5BkFynXhwgUEBQXhr7/+wrFjx/DII4/IXRIR1QEvd0fMDTftlsHvh4uyHV9cFQwD9xEEAXfu3Ck+J5uUJTY2Fj169ICDgwNiY2PRoUMHuUsiojo0OsAbbwxoY5LnenOAP0YFmHevgAHDwH0MEwXsG1Cebdu2oV+/fhAEAdHR0fD2toxfYiIyrWkhrbHwyfaw16iNOsmwJBu1CvYaNT56sj1eDPGrpQpNj2HgPq1atYK9vT37BhRm2bJlGDZsGAYPHoz9+/dzMyEihRsd4I2D0/sguJUHAFQaCgy3B7fywMHpfSxmRcCA0wT34RkFyiJJEmbOnIkFCxbglVdeweLFi6FWMyMT0b0egnUTA3EpORvr45MQeTEFSWl5pXYqVOHehkIhbTwxtru32U8NlIdhoAw8o0AZioqK8Nxzz2Ht2rVYtGgRXnvtNW5DTUQPaN3YBXPCRcyBiNxCLa6m5aJIq4edRg0fDyez3lnQWJb/HdQCQRCwe/dunlFgxbKzszFs2DAcOXIE3333HZ566im5SyIiC+Bkr4HYtOpHGJs7hoEyiKKIO3fu4K+//kKTJhXvN02W59atWxg0aBB+//137Nu3DyEhIXKXREQkK14cLYMgCAB4RoE1On/+PIKCgpCSkoLo6GgGASIiMAyUydfXF/b29uwbsDLHjx9Hjx494OzsjNjYWLRvb/67ghER1QWGgTJwosD6bN26Ff3790f79u0RHR0NLy8vuUsiIjIbDAPlEASBKwNW4osvvsCwYcMQHh6Offv2oX79+nKXRERkVhgGyiGKIhISEnhGgQXT6/V4++23MW3aNLz66qvYsGED7O3t5S6LiMjscJqgHIIgICMjgxMFFqqoqAgTJ07Et99+i8WLF2P69Olyl0REZLYYBspR8owChgHLkpWVhWHDhiEqKgobN27EqFGj5C6JiMis8TJBOVq1agU7Ozs2EVqYmzdvonfv3jh58iT27dvHIEBEZASuDJRDo9Ggbdu2bCK0IOfOnUNoaCj0ej2io6Px8MMPy10SEZFF4MpABQRB4MqAhYiOjkaPHj3g6uqK2NhYBgEioipgGKgAJwosw+bNm9G/f3906NABx44dQ/PmzeUuiYjIojAMVEAURWRkZCA5OVnuUqgc//3vfzFixAgMHToUe/fu5R4CRETVwDBQAZ5RYL70ej3eeustvPzyy3j99dexfv167iFARFRNDAMV8PX1hZ2dHZsIzUxhYSHGjh2LRYsW4fPPP8cnn3wCtZr/KxMRVRenCSqg0Wjg7+/PlQEzkpmZiSeffBLHjx/Hpk2bMGLECLlLIiKyeAwDlRBFkSsDZuLGjRsYOHAgkpKSsH//fvTu3VvukoiIrALXVithGC/kRIG8EhISEBQUhIyMDERHRzMIEBGZEMNAJURRRHp6OlJSUuQuRbGioqLQs2dPNGjQALGxscVbRRMRkWkwDFTC8MHDvgF5/PDDD3j00UfRuXNnREVFoVmzZnKXRERkdRgGKsGJAvl8/vnnGDVqFIYPH449e/bAzc1N7pKIiKwSw0AlOFFQ9/R6Pd544w1Mnz4db7zxBtatWwc7Ozu5yyIislqcJjACzyioO4WFhXj22WexadMmLFmyBC+99JLcJRERWT2GASOIoogDBw5AkiSoVCq5y7Fad+7cwdChQxEbG4sffvgBw4YNk7skIiJFYBgwgiAIxRMFjRs3lrscq/Tnn38iLCwMN27cwMGDB9GzZ0+5SyIiUgz2DBjBMFHAJsLacfbsWQQFBSErKwvHjx9nECAiqmMMA0bw9fWFra0t+wZqwZEjR9CzZ094eHggNjYW7dq1k7skIiLFYRgwgq2tLfz9/bkyYGKbNm3CY489hq5duyIqKgpNmzaVuyQiIkViGDCSKIpcGTChxYsXY/To0Rg5ciR2794NV1dXuUsiIlIshgEj8YwC09Dr9Zg+fTpef/11vP3221i7di33ECAikhmnCYwkiiLS0tJw+/ZteHp6yl2ORSooKMD48ePxww8/YOnSpXjxxRflLomIiMAwYDRBEADcO6OAYaDqMjIy8MQTT+DEiRPYvHkzhg4dKndJRET0N14mMJKfnx9sbW3ZRFgN169fR69evXD27FkcOnSIQYCIyMxwZcBItra2aNOmDZsIq+j06dMICwuDra0tjh8/jrZt28pdEhER3YcrA1UgiiJXBqogMjISvXr1QuPGjREbG8sgQERkphgGqoDjhcbbuHEjHnvsMXTv3h1Hjx5FkyZN5C6JiIjKwTBQBYIgIDU1Fbdv35a7FLMlSRIWLVqEp556Ck899RR27twJFxcXucsiIqIKMAxUgeGMAq4OlE2n0+HVV1/Fm2++iRkzZmDNmjXcQ4CIyAIwDFSBYaKAYeBBBQUFGD16NJYuXYply5Zh3rx5PO6ZiMhCcJqgCgwTBWwiLC09PR1PPPEETp48iS1btuDxxx+XuyQiIqoChoEqMmxLTPckJSUhNDQUKSkpOHz4MIKCguQuiYiIqoiXCaqI44X/+O233xAUFISCggIcP36cQYCIyEIxDFSRIAi4ffu24icKDh06hF69euGhhx5CTEwM/P395S6JiIiqiWGgigwTBUpeHVi/fj3CwsIQHByMI0eO4KGHHpK7JCIiqgGGgSpq3bo1NBqNIvsGJEnCxx9/jLFjx2LMmDHcQ4CIyEowDFSRUicKdDodXn75ZfznP//Be++9h9WrV8PW1lbusoiIyAQ4TVANStuWOD8/H2PGjMH27duxfPlyvPDCC3KXREREJsSVgWpQ0nhheno6Hn30Uezduxfbtm1jECAiskJcGagGURSLJwoaNWokdzm15urVqwgLC0NqaioiIyMRGBgod0lERFQLuDJQDYIgALDuiYJTp04hKCgIRUVFiImJYRAgIrJiDAPVYJgosNYwcODAAfTu3RvNmzdHTEwMWrduLXdJRERUixgGqsHOzg6tW7e2yr6BdevWYeDAgejZsyciIyPRuHFjuUsiIqJaxjBQTda2LbEkSVi4cCHGjRuHcePGYfv27XB2dpa7LCIiqgMMA9VkTeOFOp0O06ZNwzvvvIPZs2dj5cqV3EOAiEhBOE1QTYIgICUlBampqWjYsKHc5VRbfn4+nn76aezcuRMrVqzApEmT5C6JiIjqGFcGqskazihIS0vDI488gv3792P79u0MAkRECsUwUE2WfkbBH3/8gR49euDSpUuIjIzEoEGD5C6JiIhkwjBQTYaJAktcGfjll18QFBQErVaL2NhYdOvWTe6SiIhIRgwDNWCJ2xLv27cPffr0gbe3N2JiYuDn5yd3SUREJDOGgRqwtPHCb775BoMHD0bv3r0RGRkJT09PuUsiIiIzwDBQA6IoIjk5GWlpaXKXUiFJkjB//nw8++yzePbZZ7F9+3Y4OTnJXRYREZkJhoEasIQzCrRaLaZOnYqZM2di7ty5+Oqrr6DRcKKUiIj+wTBQA23atIGNjY3Z9g3k5eVh2LBhWLFiBVauXIlZs2ZBpVLJXRYREZkZ/hOxBsz5jILU1FQMGTIEp0+fxo4dOzBw4EC5SyIiIjPFMFBD5thEeOXKFYSGhiIzMxNHjx5F165d5S6JiIjMGC8T1JC5jRf+/PPPCAoKgiRJiImJYRAgIqJKMQzUkDlNFOzduxd9+vRBy5YtERMTA19fX7lLIiIiC8AwUEPmMlHw9ddfY/DgwejXrx8OHz6MRo0ayVoPERFZDoaBGjJMFMgVBiRJwgcffIAJEyZg4sSJ2LJlCxwdHWWphYiILBMbCGvI3t5etokCwx4CK1aswAcffICZM2dydJCIiKqMYcAE5GgizM3NxejRo7Fnzx58/fXXePbZZ+v09YmIyHrwMoEJ1PV44e3bt9GvXz9ERkYiIiKCQYCIiGqEKwMmIAgC/vrrL6Snp8Pd3b1WX+v3339HaGgosrOzcfToUXTp0qVWX4+IiKwfVwZMQBRFALU/UXDy5EkEBQVBrVYjNjaWQYCIiEyCYcAE6uKMgt27d6Nv377w9fXF8ePH0bJly1p7LSIiUhaGAROwt7eHn59fra0MrFq1CuHh4ejfvz8OHTqEhg0b1srrEBGRMjEMmIgoiiZfGZAkCXPnzsWkSZPw3HPPYfPmzdxDgIiITI5hwEQEQTDpyoBWq8Xzzz+POXPmYN68efjyyy+h0bDfk4iITI+fLiYiiiJu3bqFjIwMNGjQoEbPlZubi5EjR2L//v1Ys2YNxo8fb6IqiYiIHsSVARMxnFFQ00sFKSkpCAkJQVRUFHbt2sUgQEREtY5hwET8/f2hVqtrdKng8uXLCA4OxvXr1xEVFYUBAwaYsEIiIqKy8TKBiRgmCn5LOI+Em5ko0uphp1HDx8MJTvaV/5hPnDiBQYMGwcPDA7GxsfDx8an9oomIiMAwYBKXkrOxPj4J0uA52GXrgl3/jS6+TQXA290RIf6eGBPojdaNXR54fEREBEaNGoWOHTtix44d8PDwqMPqiYhI6VSSJEmV3SkrKwtubm7IzMyEq6trXdRlEa6n52HG1jM4djkVNmoVdPryf5SG23v5NcT8oe3h5X5vRHDFihWYPHkywsPD8d1338HBwaGuyiciIitn7Oc3VwaqaePJJMzekQDt3wGgoiBQ8vaYK2no/9lRzBki4lzESnzwwQeYOnUqlixZAhsbm1qvm4iI6H4MA9WwNPISFu2/WK3H6vQSdHoJ72w9g4yjF7Bw4UK89dZbUKlUJq6SiIjIOAwDVbTxZFK1g8D9GvQZB59+7RkEiIhIVgwDVXA9PQ+zd5S/j4CkvYs7x75FbkIk9AU5sG3kg/q9n4FDy07lPmbWjgQE+zYs7iEgIiKqa9xnoApmbD1T3CNQltRdnyHr5DY4CX3RoP/zUKnVSPlhDgqulx8gtHoJM7aeqY1yiYiIjMIwYKRLydk4djm13EbBwpsXkHcuCvX7jEeDfhPg0jEUjZ+aD42rJ+4c+brc59XpJRy7nIrLKdm1VToREVGFGAaMtD4+CTbq8q/t5104DqjUcOkYWvw1lcYOzh0eReGN89Bm3S73sTZqFb6NSzJpvURERMZiGDBS5IWUCscHi5KvwNa9GdT2pa/92zVpU3x7eXR6CZEXU0xTKBERURUxDBghp1CLpPS8Cu+jy0mHjfODpxXaOLsX316RpLQ85BZqq18kERFRNTEMGOFaWi4q26ZR0hYBNrYPfF2lsfvn9ooeD+BqWm41KyQiIqo+hgEjFGn1ld5HpbEDdHcf+LohBBhCQU1fh4iIyNQYBoxgp6n8x2Tj7A5dTsYDXzdcHjBcLqjp6xAREZkaP32M4OPhhMr2CLTzbIW76TegLyzdW1B0895uhXaNW1X4eNXfr0NERFTXGAaM4GSvgXclOwQ6tu0BSHpkn9pb/DVJexc5Zw7Arqk/NK6NKny8t4cjnOy5ISQREdU9fvoYKcTfE+vir5U7Xmjf1B+ObXviztFvoM+7A02Dpsg9cwjazBQ0Dnulwue2UasQ0sazNsomIiKqFFcGjDQm0LvSY4obDn4Nrl0fR+7ZSKQf+B8kvRaew2ehnvfDFT5Op5cwtru3KcslIiIyGlcGjNS6sQt6+TVEzJW0ckOBSmOHBv0moEG/CUY/r41aheBWHvDzdDFVqURERFXClYEqmD+0PTQVbElcHRq1CvOHtjfpcxIREVUFw0AVeLk7Ym64aNLnfD9c5PHFREQkK4aBKhod4I03BrQxyXO9OcAfowLYK0BERPJiz0A1TAtpjYbO9pi9IwFavVRpY2FJNmoVNGoV3g8XGQSIiMgscGWgmkYHeOPg9D4IbuUBABUeb1zy9uBWHjg4vQ+DABERmQ2uDNSAl7sj1k0MxKXkbKyPT0LkxRQkpeWVOtRIhXsbCoW08cTY7t6cGiAiIrOjkiSp0jXurKwsuLm5ITMzE66urnVRl8XKLdTialouirR62GnU8PFw4s6CREQkC2M/v/kpZWJO9hqITd3kLoOIiMho7BkgIiJSOIYBIiIihWMYICIiUjiGASIiIoVjGCAiIlI4hgEiIiKFYxggIiJSOIYBIiIihWMYICIiUjiGASIiIoVjGCAiIlI4hgEiIiKFYxggIiJSOIYBIiIihWMYICIiUjiGASIiIoXTGHMnSZIAAFlZWbVaDBEREZmO4XPb8DleHqPCQHZ2NgDAy8urhmURERFRXcvOzoabm1u5t6ukyuICAL1ej5s3b8LFxQUqlcqkBRIREVHtkCQJ2dnZaNq0KdTq8jsDjAoDREREZL3YQEhERKRwDANEREQKxzBARESkcAwDRERECscwQEREpHAMA0RERArHMEBERKRw/w+4IeFEP7cQUgAAAABJRU5ErkJggg==", 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" ] @@ -70,127 +72,23 @@ "id": "062c6b9b-cbe7-4cf1-abb4-50218cc06228", "metadata": {}, "source": [ - "Create a QAOA maxcut instance a draw the circuit at depth 1" + "# Creating a QAOA instance and drawing the quantum circuit" ] }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 9, "id": "75d8e6d2", "metadata": {}, "outputs": [ { "data": { - "text/html": [ - "
      ┌───┐                                                          »\n",
-       "q2_0: ┤ H ├──■───────────────────────■────■───────────────────────■──»\n",
-       "      ├───┤┌─┴─┐┌─────────────────┐┌─┴─┐  │                       │  »\n",
-       "q2_1: ┤ H ├┤ X ├┤ Rz(1.0*gamma_0) ├┤ X ├──┼───────────────────────┼──»\n",
-       "      ├───┤└───┘└─────────────────┘└───┘┌─┴─┐┌─────────────────┐┌─┴─┐»\n",
-       "q2_2: ┤ H ├─────────────────────────────┤ X ├┤ Rz(1.0*gamma_0) ├┤ X ├»\n",
-       "      ├───┤                             └───┘└─────────────────┘└───┘»\n",
-       "q2_3: ┤ H ├──────────────────────────────────────────────────────────»\n",
-       "      ├───┤                                                          »\n",
-       "q2_4: ┤ H ├──────────────────────────────────────────────────────────»\n",
-       "      └───┘                                                          »\n",
-       "c0: 5/═══════════════════════════════════════════════════════════════»\n",
-       "                                                                     »\n",
-       "«      ┌───────────────┐                                         »\n",
-       "«q2_0: ┤ Rx(-2*beta_0) ├─────────────────────────────────────────»\n",
-       "«      └───────────────┘                        ┌───────────────┐»\n",
-       "«q2_1: ────────■─────────────────────────────■──┤ Rx(-2*beta_0) ├»\n",
-       "«            ┌─┴─┐      ┌─────────────────┐┌─┴─┐└───────────────┘»\n",
-       "«q2_2: ──────┤ X ├──────┤ Rz(1.0*gamma_0) ├┤ X ├────────■────────»\n",
-       "«            └───┘      └─────────────────┘└───┘      ┌─┴─┐      »\n",
-       "«q2_3: ───────────────────────────────────────────────┤ X ├──────»\n",
-       "«                                                     └───┘      »\n",
-       "«q2_4: ──────────────────────────────────────────────────────────»\n",
-       "«                                                                »\n",
-       "«c0: 5/══════════════════════════════════════════════════════════»\n",
-       "«                                                                »\n",
-       "«                                                                            »\n",
-       "«q2_0: ──────────────────────────────────────────────────────────────────────»\n",
-       "«                                                                            »\n",
-       "«q2_1: ──────────────────────────────────────────────────────────────────────»\n",
-       "«                                                           ┌───────────────┐»\n",
-       "«q2_2: ─────────────────────■────■───────────────────────■──┤ Rx(-2*beta_0) ├»\n",
-       "«      ┌─────────────────┐┌─┴─┐  │                       │  └───────────────┘»\n",
-       "«q2_3: ┤ Rz(1.0*gamma_0) ├┤ X ├──┼───────────────────────┼──────────■────────»\n",
-       "«      └─────────────────┘└───┘┌─┴─┐┌─────────────────┐┌─┴─┐      ┌─┴─┐      »\n",
-       "«q2_4: ────────────────────────┤ X ├┤ Rz(1.0*gamma_0) ├┤ X ├──────┤ X ├──────»\n",
-       "«                              └───┘└─────────────────┘└───┘      └───┘      »\n",
-       "«c0: 5/══════════════════════════════════════════════════════════════════════»\n",
-       "«                                                                            »\n",
-       "«                                                ░ ┌─┐            \n",
-       "«q2_0: ──────────────────────────────────────────░─┤M├────────────\n",
-       "«                                                ░ └╥┘┌─┐         \n",
-       "«q2_1: ──────────────────────────────────────────░──╫─┤M├─────────\n",
-       "«                                                ░  ║ └╥┘┌─┐      \n",
-       "«q2_2: ──────────────────────────────────────────░──╫──╫─┤M├──────\n",
-       "«                              ┌───────────────┐ ░  ║  ║ └╥┘┌─┐   \n",
-       "«q2_3: ─────────────────────■──┤ Rx(-2*beta_0) ├─░──╫──╫──╫─┤M├───\n",
-       "«      ┌─────────────────┐┌─┴─┐├───────────────┤ ░  ║  ║  ║ └╥┘┌─┐\n",
-       "«q2_4: ┤ Rz(1.0*gamma_0) ├┤ X ├┤ Rx(-2*beta_0) ├─░──╫──╫──╫──╫─┤M├\n",
-       "«      └─────────────────┘└───┘└───────────────┘ ░  ║  ║  ║  ║ └╥┘\n",
-       "«c0: 5/═════════════════════════════════════════════╩══╩══╩══╩══╩═\n",
-       "«                                                   0  1  2  3  4 
" - ], + "image/png": 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"text/plain": [ - " ┌───┐ »\n", - "q2_0: ┤ H ├──■───────────────────────■────■───────────────────────■──»\n", - " ├───┤┌─┴─┐┌─────────────────┐┌─┴─┐ │ │ »\n", - "q2_1: ┤ H ├┤ X ├┤ Rz(1.0*gamma_0) ├┤ X ├──┼───────────────────────┼──»\n", - " ├───┤└───┘└─────────────────┘└───┘┌─┴─┐┌─────────────────┐┌─┴─┐»\n", - "q2_2: ┤ H ├─────────────────────────────┤ X ├┤ Rz(1.0*gamma_0) ├┤ X ├»\n", - " ├───┤ └───┘└─────────────────┘└───┘»\n", - "q2_3: ┤ H ├──────────────────────────────────────────────────────────»\n", - " ├───┤ »\n", - "q2_4: ┤ H ├──────────────────────────────────────────────────────────»\n", - " └───┘ »\n", - "c0: 5/═══════════════════════════════════════════════════════════════»\n", - " »\n", - "« ┌───────────────┐ »\n", - "«q2_0: ┤ Rx(-2*beta_0) ├─────────────────────────────────────────»\n", - "« └───────────────┘ ┌───────────────┐»\n", - "«q2_1: ────────■─────────────────────────────■──┤ Rx(-2*beta_0) ├»\n", - "« ┌─┴─┐ ┌─────────────────┐┌─┴─┐└───────────────┘»\n", - "«q2_2: ──────┤ X ├──────┤ Rz(1.0*gamma_0) ├┤ X ├────────■────────»\n", - "« └───┘ └─────────────────┘└───┘ ┌─┴─┐ »\n", - "«q2_3: ───────────────────────────────────────────────┤ X ├──────»\n", - "« └───┘ »\n", - "«q2_4: ──────────────────────────────────────────────────────────»\n", - "« »\n", - "«c0: 5/══════════════════════════════════════════════════════════»\n", - "« »\n", - "« »\n", - "«q2_0: ──────────────────────────────────────────────────────────────────────»\n", - "« »\n", - "«q2_1: ──────────────────────────────────────────────────────────────────────»\n", - "« ┌───────────────┐»\n", - "«q2_2: ─────────────────────■────■───────────────────────■──┤ Rx(-2*beta_0) ├»\n", - "« ┌─────────────────┐┌─┴─┐ │ │ └───────────────┘»\n", - "«q2_3: ┤ Rz(1.0*gamma_0) ├┤ X ├──┼───────────────────────┼──────────■────────»\n", - "« └─────────────────┘└───┘┌─┴─┐┌─────────────────┐┌─┴─┐ ┌─┴─┐ »\n", - "«q2_4: ────────────────────────┤ X ├┤ Rz(1.0*gamma_0) ├┤ X ├──────┤ X ├──────»\n", - "« └───┘└─────────────────┘└───┘ └───┘ »\n", - "«c0: 5/══════════════════════════════════════════════════════════════════════»\n", - "« »\n", - "« ░ ┌─┐ \n", - "«q2_0: ──────────────────────────────────────────░─┤M├────────────\n", - "« ░ └╥┘┌─┐ \n", - "«q2_1: ──────────────────────────────────────────░──╫─┤M├─────────\n", - "« ░ ║ └╥┘┌─┐ \n", - "«q2_2: ──────────────────────────────────────────░──╫──╫─┤M├──────\n", - "« ┌───────────────┐ ░ ║ ║ └╥┘┌─┐ \n", - "«q2_3: ─────────────────────■──┤ Rx(-2*beta_0) ├─░──╫──╫──╫─┤M├───\n", - "« ┌─────────────────┐┌─┴─┐├───────────────┤ ░ ║ ║ ║ └╥┘┌─┐\n", - "«q2_4: ┤ Rz(1.0*gamma_0) ├┤ X ├┤ Rx(-2*beta_0) ├─░──╫──╫──╫──╫─┤M├\n", - "« └─────────────────┘└───┘└───────────────┘ ░ ║ ║ ║ ║ └╥┘\n", - "«c0: 5/═════════════════════════════════════════════╩══╩══╩══╩══╩═\n", - "« 0 1 2 3 4 " + "
" ] }, - "execution_count": 4, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } @@ -198,8 +96,9 @@ "source": [ "params={'G': G, 'shots': 2048}\n", "qaoamc = QAOAMaxCut(params=params)\n", - "qaoamc.createParameterizedCircuit(1)\n", - "qaoamc.parameterized_circuit.draw()" + "qaoamc.createParameterizedCircuit(1) #createParameterizedCircuit(depth) must be called to create circuit before drawing.\n", + " #The argument \"1\" of the function is the depth of the circuit\n", + "qaoamc.parameterized_circuit.draw(output = 'mpl')" ] }, { @@ -207,12 +106,12 @@ "id": "3ae9ce75-30ca-499d-b7cf-35fc1936a9e6", "metadata": {}, "source": [ - "Sample the energy landscape of QAOA for depth 1 and draw it" + "# Sample and plot cost landscape" ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 10, "id": "f10939f8", "metadata": {}, "outputs": [ @@ -230,7 +129,7 @@ }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -246,7 +145,7 @@ "_=pl.ylabel(r'$\\beta$')\n", "ax = pl.gca()\n", "_=pl.title('Expectation value')\n", - "im = ax.imshow(qaoamc.E,interpolation='bicubic',origin='lower',extent=[0,np.pi,0,np.pi/2])\n", + "im = ax.imshow(qaoamc.E,interpolation='bicubic',origin='lower',extent=[0,np.pi/2,0,np.pi/2])\n", "divider = make_axes_locatable(ax)\n", "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n", "_=pl.colorbar(im, cax=cax)" @@ -257,12 +156,12 @@ "id": "811ee919-4b85-47b3-9e0a-f005016b6164", "metadata": {}, "source": [ - "Search for the best parameters at depth 1 and print the approximation ratio" + "# Search for the best parameters at depth = 1 and plot histogram" ] }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 11, "id": "5cb4fea4", "metadata": { "scrolled": true @@ -272,14 +171,51 @@ "name": "stdout", "output_type": "stream", "text": [ - "cost(depth= 1 )= -3.9169921875\n", - "approximation ratio= 0.9814453124999999\n" + "cost(depth= 1 )= -3.9316406250000004\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "qaoamc.increase_depth() #Search for the best parameters at depth = 1\n", + "histogram = qaoamc.hist(qaoamc.angles_hist['d'+str(1)+'_final']) \n", + "plot_histogram(histogram)\n" + ] + }, + { + "cell_type": "markdown", + "id": "5a2eb3ff", + "metadata": {}, + "source": [ + "# Compute and print approximation ratio" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "1dcab539", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "approximation ratio= 0.98388671875\n" ] } ], "source": [ - "qaoamc.increase_depth()\n", - "print(\"approximation ratio=\", list(qaoamc.costval.values())[0]/-4)" + "print(\"approximation ratio=\", list(qaoamc.costval.values())[0]/-4) " ] } ], diff --git a/PortfolioOptimization/4_asset_optimize.ipynb b/PortfolioOptimization/4_asset_optimize.ipynb deleted file mode 100644 index 650c8b1..0000000 --- a/PortfolioOptimization/4_asset_optimize.ipynb +++ /dev/null @@ -1,506 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "from openquantumcomputing import QAOAPortfolioOptimization, QAOABase\n", - "from openquantumcomputing import Statistic\n", - "import asset_loader\n", - "\n", - "from qiskit import *\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "from mpl_toolkits.axes_grid1 import make_axes_locatable\n", - "from qiskit.visualization import *\n", - "from tqdm import tqdm\n", - "import itertools\n", - "\n", - "\n", - "from importlib import reload" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/home/franzf/OQC/optimization/PortfolioOptimization/asset_loader.py:41: UserWarning: FixedFormatter should only be used together with FixedLocator\n", - " axs[0].set_xticklabels(axs[0].get_xticklabels(), rotation=-30)\n" - ] - }, - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "reload(asset_loader)\n", - "assets = asset_loader.AssetData(4, 100, seed=13)\n", - "assets.plotAssets()\n", - "\n", - "params = {\n", - " \"risk\" : 0.5,\n", - " \"budget\": 2,\n", - " \"penalty\": 4,\n", - " \"cov_matrix\": assets.cov_matrix,\n", - " \"exp_return\": assets.exp_return,\n", - " \"usebarrier\": True #only for drawing\n", - "}" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "reload(QAOAPortfolioOptimization)\n", - "qaoa_portopt = QAOAPortfolioOptimization.QAOAPortfolioOptimization(params)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "qaoa_portopt.createParameterizedCircuit(1)\n", - "display(qaoa_portopt.parameterized_circuit.draw(output='mpl'))\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[0.00048258 0.00031392 0.00078376 0.0001755 ]\n", - "[0.00056995 0.00033647 0.00060782 0.00024153]\n", - "0.0009053685866285729\n", - "0.0009053685866285729\n", - "0.0009053685866285729\n", - "[1. 1. 1.]\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "tril_cov = np.tril(qaoa_portopt.cov_matrix + np.tril(qaoa_portopt.cov_matrix, k=-1))\n", - "plt.imshow(tril_cov)\n", - "print(np.sum(qaoa_portopt.cov_matrix, axis=0))\n", - "print(np.sum(tril_cov, axis=0))\n", - "\n", - "x = np.random.rand(4)\n", - "print(x.T@(qaoa_portopt.cov_matrix@x))\n", - "print(x@(qaoa_portopt.cov_matrix@x))\n", - "print(x.T@(tril_cov@x))\n", - "\n", - "print(np.ones((3)))" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "False\n", - "-4.002333065994415\n", - "0.00039152639381967447\n", - "0.0023381735562253425\n", - "-3.998367003059391\n" - ] - } - ], - "source": [ - "print(qaoa_portopt.isFeasible(\"0010\"))\n", - "print(qaoa_portopt.cost(\"0010\"))\n", - "print(qaoa_portopt.cost(\"0101\"))\n", - "print(qaoa_portopt.cost(\"1100\"))\n", - "\n", - "print(qaoa_portopt.cost(\"1000\"))\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "solutions:\n", - "0000 \t -16.0\n", - "0001 \t -4.000341395451567\n", - "0010 \t -4.002333065994415\n", - "0011 -0.0026484871652812103\n", - "0100 \t -3.9992716588144965\n", - "0101 0.00039152639381967447\n", - "0110 -0.0016550158624220046\n", - "0111 \t -4.001965856373403\n", - "1000 \t -3.998367003059391\n", - "1001 0.0013270681176713595\n", - "1010 -0.0007997440273825873\n", - "1011 \t -4.001079698569619\n", - "1100 0.0023381735562253425\n", - "1101 \t -3.9979631746068307\n", - "1110 \t -4.0001448584652906\n", - "1111 \t -16.000420232347622\n", - "--------------------\n", - "Best sol is 1100 with cost 0.0023381735562253425\n" - ] - } - ], - "source": [ - "\n", - "print(\"solutions:\")\n", - "best_sol = None\n", - "best_cost = None\n", - "for s in [''.join(i) for i in itertools.product('01', repeat = assets.N)]:\n", - " c = qaoa_portopt.cost(s)\n", - " if best_sol is None:\n", - " best_sol = s\n", - " best_cost = c\n", - " elif c > best_cost:\n", - " best_sol = s\n", - " best_cost = c\n", - "\n", - " if qaoa_portopt.isFeasible(s):\n", - " print(s, c)\n", - " else: \n", - " print(s, '\\t', c)\n", - "\n", - "print(\"--------------------\")\n", - "print(\"Best sol is \"+ best_sol + \" with cost \" + str(best_cost))" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Sample cost landscape" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [], - "source": [ - "qasm_sim = Aer.get_backend('qasm_simulator')" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Calculating Energy landscape for depth p=1...\n", - "Executing sample_cost_landscape\n", - "parameters: 2\n", - "Done execute\n", - "Done measurement\n", - "Calculating Energy landscape done\n" - ] - } - ], - "source": [ - "qaoa_portopt.sample_cost_landscape(qasm_sim, 1024, angles={\"gamma\": [0,np.pi,50], \"beta\": [0,np.pi,40]})" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "def plotLandscape(field, title, interpolation='bicubic'):\n", - " f = plt.figure(figsize=(6, 6), dpi= 80, facecolor='w', edgecolor='k')\n", - " _=plt.xlabel(r'$\\gamma$')\n", - " _=plt.ylabel(r'$\\beta$')\n", - " ax = plt.gca()\n", - " _=plt.title(title)\n", - " im = ax.imshow(field, interpolation=interpolation, origin='lower', extent=[0,np.pi,0,np.pi])\n", - " divider = make_axes_locatable(ax)\n", - " cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n", - " _=plt.colorbar(im, cax=cax)\n", - "\n", - "plotLandscape(qaoa_portopt.E, \"Expection value\", interpolation=\"None\")\n", - "#plotLandscape(qaoa_portopt.E, r'CVaR with $\\alpha$='+str(qaoaec_cvar.params[\"alpha\"])) #, interpolation=\"None\")\n", - "plotLandscape(qaoa_portopt.Var, \"Variance\")\n" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 14%|██████████████████████▎ | 1/7 [00:00<00:01, 5.91it/s]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 1 )= 0.008001757623218517\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 29%|████████████████████████████████████████████▌ | 2/7 [00:00<00:01, 3.81it/s]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 2 )= 0.07446525947055213\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 43%|██████████████████████████████████████████████████████████████████▊ | 3/7 [00:01<00:01, 2.50it/s]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 3 )= 0.5392266181173387\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 57%|█████████████████████████████████████████████████████████████████████████████████████████▏ | 4/7 [00:01<00:01, 2.00it/s]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 4 )= 1.6122062260642713\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 71%|███████████████████████████████████████████████████████████████████████████████████████████████████████████████▍ | 5/7 [00:02<00:01, 1.37it/s]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 5 )= 0.5078199146476047\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 86%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████▋ | 6/7 [00:04<00:00, 1.03it/s]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 6 )= 0.6936878676705739\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "100%|████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 7/7 [00:06<00:00, 1.05it/s]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 7 )= 0.15967693316080286\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n" - ] - } - ], - "source": [ - "maxdepth=7\n", - "for i in tqdm(range(maxdepth)):\n", - " qaoa_portopt.increase_depth(qasm_sim, 1024)" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "hist=qaoa_portopt.hist(qaoa_portopt.angles_hist['d'+str(maxdepth)+'_final'], qasm_sim,1024)\n", - "plot_histogram(hist)" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "-0.0026484871652812103 0011 470\n", - "0.00039152639381967447 0101 247\n", - "0.0023381735562253425 1100 156\n", - "-0.0007997440273825873 1010 48\n", - "-0.0016550158624220046 0110 31\n", - "0.0013270681176713595 1001 29\n", - "\t -4.002333065994415 0010 15\n", - "\t -4.001079698569619 1011 14\n", - "\t -4.0001448584652906 1110 6\n", - "\t -3.998367003059391 1000 5\n", - "\t -3.9992716588144965 0100 1\n", - "\t -16.0 0000 1\n", - "\t -4.001965856373403 0111 1\n", - "Classical best result: ('1100', 0.0023381735562253425)\n" - ] - } - ], - "source": [ - "sorted_hist = dict(sorted(hist.items(), key=lambda item: item[1], reverse=True))\n", - "\n", - "for s, freq in sorted_hist.items():\n", - " if qaoa_portopt.isFeasible(s):\n", - " print(qaoa_portopt.cost(s), s, freq)\n", - " else:\n", - " print(\"\\t\", qaoa_portopt.cost(s), s, freq)\n", - "\n", - "print(\"Classical best result: \", (best_sol, best_cost))" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.11.4" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} diff --git a/PortfolioOptimization/6_asset_optimize.ipynb b/PortfolioOptimization/6_asset_optimize.ipynb deleted file mode 100644 index 5acaf77..0000000 --- a/PortfolioOptimization/6_asset_optimize.ipynb +++ /dev/null @@ -1,580 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "from openquantumcomputing import QAOAPortfolioOptimization, QAOABase\n", - "from openquantumcomputing import Statistic\n", - "import asset_loader\n", - "\n", - "from qiskit import *\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "from mpl_toolkits.axes_grid1 import make_axes_locatable\n", - "from qiskit.visualization import *\n", - "from tqdm import tqdm\n", - "import itertools\n", - "\n", - "\n", - "from importlib import reload" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "c:\\Users\\havardh\\playground-win\\quantumComputing\\optimization\\PortfolioOptimization\\asset_loader.py:41: UserWarning: FixedFormatter should only be used together with FixedLocator\n", - " axs[0].set_xticklabels(axs[0].get_xticklabels(), rotation=-30)\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "64\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "reload(asset_loader)\n", - "assets = asset_loader.AssetData(6, 100, seed=13)\n", - "assets.plotAssets()\n", - "\n", - "params = {\n", - " \"risk\" : 0.5,\n", - " \"budget\": 2,\n", - " \"penalty\": 4,\n", - " \"cov_matrix\": assets.cov_matrix,\n", - " \"exp_return\": assets.exp_return,\n", - " \"usebarrier\": True\n", - "}\n", - "print(2**assets.N)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "reload(QAOAPortfolioOptimization)\n", - "qaoa_portopt = QAOAPortfolioOptimization.QAOAPortfolioOptimization(params)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "display(qaoa_portopt.createCircuit(np.array((np.pi,2*np.pi)),1).draw(output='mpl'))\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "solutions:\n", - "000000 \t -16.0\n", - "000001 \t -3.9961826539466863\n", - "000010 \t -3.998681291258883\n", - "000011 0.005149285769853407\n", - "000100 \t -4.000341395451567\n", - "000101 0.0034369571369659013\n", - "000110 0.000982559034333974\n", - "000111 \t -3.9952258574017137\n", - "001000 \t -4.002333065994415\n", - "001001 0.0015792261027094412\n", - "001010 -0.0009441163260390795\n", - "001011 \t -3.9970185932535003\n", - "001100 -0.0026484871652812103\n", - "001101 \t -3.998775188532939\n", - "001110 \t -4.001254291752133\n", - "001111 \t -15.997367762144364\n", - "010000 \t -3.9992716588144965\n", - "010001 0.0046114172079469995\n", - "010010 0.0020760282873837355\n", - "010011 \t -3.99402766471475\n", - "010100 0.00039152639381967447\n", - "010101 \t -3.9957643910485174\n", - "010110 \t -3.9982555407595157\n", - "010111 \t -15.994398227226426\n", - "011000 -0.0016550158624220046\n", - "011001 \t -3.9976769937961762\n", - "011010 \t -4.000237087833291\n", - "011011 \t -15.996245834791608\n", - "011100 \t -4.001965856373403\n", - "011101 \t -15.998026827771938\n", - "011110 \t -16.000542682599487\n", - "011111 \t -35.996590423022596\n", - "100000 \t -3.998367003059391\n", - "100001 0.005428075404783073\n", - "100010 0.0030563424410345874\n", - "100011 \t -3.9931353481193668\n", - "100100 0.0013270681176713595\n", - "100101 \t -3.994916846882937\n", - "100110 \t -3.997244340637117\n", - "100111 \t -15.993475024662288\n", - "101000 -0.0007997440273825873\n", - "101001 \t -3.996909719519401\n", - "101010 \t -3.9993061575996975\n", - "101011 \t -15.995402902116297\n", - "101100 \t -4.001079698569619\n", - "101101 \t -15.997228667526429\n", - "101110 \t -15.999580866397153\n", - "101111 \t -35.995716604378515\n", - "110000 0.0023381735562253425\n", - "110001 \t -3.9938010180104726\n", - "110010 \t -3.9962095025825803\n", - "110011 \t -15.992335463173859\n", - "110100 \t -3.9979631746068307\n", - "110101 \t -15.994141359638306\n", - "110110 \t -15.996505605000849\n", - "110111 \t -35.992670559056904\n", - "111000 \t -4.0001448584652906\n", - "111001 \t -15.996189103988172\n", - "111010 \t -15.998622293676831\n", - "111011 \t -35.994653308224315\n", - "111100 \t -16.000420232347622\n", - "111101 \t -35.996503471335316\n", - "111110 \t -35.9988924218144\n", - "111111 \t -63.99496242982666\n", - "--------------------\n", - "Best sol is 100001 with cost 0.005428075404783073\n" - ] - } - ], - "source": [ - "\n", - "print(\"solutions:\")\n", - "best_sol = None\n", - "best_cost = None\n", - "for s in [''.join(i) for i in itertools.product('01', repeat = assets.N)]:\n", - " c = qaoa_portopt.cost(s)\n", - " if best_sol is None:\n", - " best_sol = s\n", - " best_cost = c\n", - " elif c > best_cost:\n", - " best_sol = s\n", - " best_cost = c\n", - "\n", - " if qaoa_portopt.isFeasible(s):\n", - " print(s, c)\n", - " else: \n", - " print(s, '\\t', c)\n", - "\n", - "print(\"--------------------\")\n", - "print(\"Best sol is \"+ best_sol + \" with cost \" + str(best_cost))" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Sample cost landscape" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [], - "source": [ - "qasm_sim = Aer.get_backend('qasm_simulator')" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Calculating Energy landscape for depth p=1...\n", - "Calculating Energy landscape done\n" - ] - } - ], - "source": [ - "qaoa_portopt.sample_cost_landscape(qasm_sim, 1024, angles={\"gamma\": [0,np.pi,50], \"beta\": [0,np.pi,40]})" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "def plotLandscape(field, title, interpolation='bicubic'):\n", - " f = plt.figure(figsize=(6, 6), dpi= 80, facecolor='w', edgecolor='k')\n", - " _=plt.xlabel(r'$\\gamma$')\n", - " _=plt.ylabel(r'$\\beta$')\n", - " ax = plt.gca()\n", - " _=plt.title(title)\n", - " im = ax.imshow(field, interpolation=interpolation, origin='lower', extent=[0,np.pi,0,np.pi])\n", - " divider = make_axes_locatable(ax)\n", - " cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n", - " _=plt.colorbar(im, cax=cax)\n", - "\n", - "plotLandscape(qaoa_portopt.E, \"Expection value\", interpolation=\"None\")\n", - "#plotLandscape(qaoa_portopt.E, r'CVaR with $\\alpha$='+str(qaoaec_cvar.params[\"alpha\"])) #, interpolation=\"None\")\n", - "plotLandscape(qaoa_portopt.Var, \"Variance\")\n" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 10%|█ | 1/10 [00:01<00:17, 1.96s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 1 )= 2.5829933609362214\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 20%|██ | 2/10 [00:03<00:12, 1.58s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 2 )= 6.725234989402634\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 30%|███ | 3/10 [00:06<00:15, 2.23s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 3 )= 6.611086736425675\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 40%|████ | 4/10 [00:10<00:17, 2.86s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 4 )= 7.356770721480401\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 50%|█████ | 5/10 [00:14<00:16, 3.39s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 5 )= 6.259591530955283\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 60%|██████ | 6/10 [00:20<00:17, 4.41s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 6 )= 5.828438714146477\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 70%|███████ | 7/10 [00:30<00:18, 6.13s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 7 )= 2.864840185559787\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 80%|████████ | 8/10 [00:42<00:15, 7.91s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 8 )= 2.673134117383907\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 90%|█████████ | 9/10 [00:57<00:10, 10.21s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 9 )= 3.143092114770156\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "100%|██████████| 10/10 [01:14<00:00, 7.41s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 10 )= 6.161788672015834\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n" - ] - } - ], - "source": [ - "maxdepth=10\n", - "for i in tqdm(range(maxdepth)):\n", - " qaoa_portopt.increase_depth(qasm_sim, 1024)" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "hist=qaoa_portopt.hist(qaoa_portopt.angles_hist['d'+str(maxdepth)+'_final'], qasm_sim,1024)\n", - "plot_histogram(hist)" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Classical best result: ('100001', 0.005428075404783073)\n", - "0\t\t -3.9993061575996975 101010 171\n", - "1\t 0.00039152639381967447 010100 162\n", - "2\t\t -3.996909719519401 101001 85\n", - "3\t\t -3.9992716588144965 010000 38\n", - "4\t\t -3.9957643910485174 010101 35\n", - "5\t\t -15.994141359638306 110101 32\n", - "6\t\t -3.9962095025825803 110010 31\n", - "7\t\t -4.001965856373403 011100 28\n", - "8\t 0.0013270681176713595 100100 26\n", - "9\t -0.0016550158624220046 011000 21\n", - "10\t -0.0026484871652812103 001100 21\n", - "11\t\t -15.993475024662288 100111 20\n", - "12\t\t -4.0001448584652906 111000 18\n", - "13\t\t -35.994653308224315 111011 17\n", - "14\t\t -3.9982555407595157 010110 16\n", - "15\t 0.0034369571369659013 000101 16\n", - "16\t\t -4.002333065994415 001000 16\n", - "17\t\t -16.000542682599487 011110 15\n", - "18\t\t -3.9970185932535003 001011 14\n", - "19\t\t -3.9931353481193668 100011 14\n", - "20\t\t -16.0 000000 13\n" - ] - } - ], - "source": [ - "sorted_hist = dict(sorted(hist.items(), key=lambda item: item[1], reverse=True))\n", - "\n", - "print(\"Classical best result: \", (best_sol, best_cost))\n", - "\n", - "i = 0\n", - "for s, freq in sorted_hist.items():\n", - " if i > 20:\n", - " break\n", - " if s == best_sol:\n", - " print(str(i)+\" -->\\t\", qaoa_portopt.cost(s), s, freq)\n", - " elif qaoa_portopt.isFeasible(s):\n", - " print(str(i)+\"\\t\", qaoa_portopt.cost(s), s, freq)\n", - " else:\n", - " print(str(i)+\"\\t\\t\", qaoa_portopt.cost(s), s, freq)\n", - " i = i + 1\n", - "\n" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "-63.99496242982665 -63.99496242982666 -63.99496242982665\n", - "-16.0 -16.0 -16.0\n", - "-3.995764391048522 -3.9957643910485174 -3.995764391048522\n", - "-0.0016550158624250885 -0.0016550158624220046 -0.0016550158624250885\n", - "0.004611417207942098 0.0046114172079469995 0.004611417207942098\n" - ] - } - ], - "source": [ - "def cost(qaoa_portopt, string, penalize=True):\n", - " \n", - " risk = qaoa_portopt.params.get(\"risk\")\n", - " budget = qaoa_portopt.params.get(\"budget\")\n", - " cov_matrix = qaoa_portopt.params.get(\"cov_matrix\")\n", - " exp_return = qaoa_portopt.params.get(\"exp_return\")\n", - " penalty = qaoa_portopt.params.get(\"penalty\", 0.0)\n", - "\n", - " x = np.array(list(map(int,string))) \n", - " cost = risk* (x.T@cov_matrix@x) - exp_return.T@x\n", - " if penalize:\n", - " cost += penalty * (x.sum() - budget)**2\n", - "\n", - " return -cost\n", - "\n", - "\n", - "for s in [\"111111\", \"000000\", \"010101\", \"011000\", \"010001\"]:\n", - " print(cost(qaoa_portopt, s), qaoa_portopt.cost(s), qaoa_portopt.cost_nonQUBO(s))\n", - "\n", - "\n", - "\n" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "qcomp", - "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": "3.11.3" - }, - "orig_nbformat": 4 - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/PortfolioOptimization/8_asset_optimize.ipynb b/PortfolioOptimization/8_asset_optimize.ipynb deleted file mode 100644 index 85d79cf..0000000 --- a/PortfolioOptimization/8_asset_optimize.ipynb +++ /dev/null @@ -1,813 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "from openquantumcomputing import QAOAPortfolioOptimization, QAOABase\n", - "from openquantumcomputing import Statistic\n", - "import asset_loader\n", - "\n", - "from qiskit import *\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "from mpl_toolkits.axes_grid1 import make_axes_locatable\n", - "from qiskit.visualization import *\n", - "from tqdm import tqdm\n", - "import itertools\n", - "\n", - "\n", - "from importlib import reload" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "c:\\Users\\havardh\\playground-win\\quantumComputing\\optimization\\PortfolioOptimization\\asset_loader.py:41: UserWarning: FixedFormatter should only be used together with FixedLocator\n", - " axs[0].set_xticklabels(axs[0].get_xticklabels(), rotation=-30)\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "256\n" - ] - }, - { - "data": { - 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0tDSOHz/O+++/b1O2ZcuWHDp0KE/1CSGEEBlYzLDjHe3xU32heseMZXQ6aHtrNNqxpbDlLUCFJ/tkfs74q/BdHzCnQpXW0OJjMKXAd73gwl7434vw0mp45PkCuSQhhBDifpX44P1B9e+//+Lu7o6/v3+Oynfu3JkePXowf/78LMvUr18/Q1AfGxuLXq+3PnZ1dUVVVZKSkgDo0KEDVatWBeDGjRuYzWZ8fX1tzuHr60tkZGSOr00IIYTIkWNfw9U/wNETmk3Mupyi3BXAD4Hrf0PtV8DrkdvlTGmw9mWIDwfvKtBliRb82zvDS9/B2r7w7y5Y1QN6rIQqLQvy6oQQQohcKfHBu5OdnrMftSqyuguKqqq5WiO9Y8eObNq0iYMHD9KwYebD/dasWUO1atVs9qUH7gBubm6cOHECk8nE/v37mTp1KosWLcpwnrvbldu2CiGEKELGZG2YeFwYVG0HBoeiblHmEm/Azx9rj5t+CC5e2ZdPD+AVBY5+BYfmaluFBlovfPWO8OMYuHJEmzffczU4ut8+3s4RevwP1r8Cf2/XeuJf3w++NQruGoUQQohcKPHBu6IoBTZ0vShVqVKF2NhYIiIictT7vnjxYt577z1at27Njh07aNy4cYYygYGBVKpUKctz6HQ66/NVq1YlMjKSHj16cODAAQC8vb3R6/UZetmvXbuWoTdeCCFEMREXoQ0HDz0GYcfg6hmwmLTnqnWAF7/Rep+Lm58mQUos+NW6lZQuBxQF2kyDik3g+Ddw/ie4/Iu27RgJxiRAga5fgXcm74cGe3hxudbzfv4nLfjvnPEmthBCCFEUiuG7tQDo1q0b9vb2TJkyJdPn705YpygKixcvpm/fvrRp04Z9+/bluQ0jRozg1KlTbNq0CQB7e3tq167N7t27bcrt3r2b+vXr57k+IYQQ+ezqWZhXR8vEfmyp1uNuMYGrL+jstDXOd48r6lZmFHocTnyrPW4zDXS5GOmmKFCtPfRZD8P/1HrtSwXdCtyB5hOyHw6vt4Pnx2qP/9wACdfu6xKEEEKI/PbgdVk/IAIDA5k5cyZDhgwhLi6Ol19+maCgIEJDQ1mxYgWurq4ZlotTFIUFCxag1+tp27Yt27Zto2nTptbno6KiMvSae3p64ujomGkb3N3dGThwIBMmTKBTp04oisLIkSPp27cvderUoV69eixZsoSQkBDeeOON/H8RhBBC3D+zETa9DmkJ2vzuyi2hXB0oWwc8ysEf62DjIDg8Twtunx5U1C3WWCywcxSgwuMvQfln7/9cHmWh0bvQYBRc/hVSYrSpAvdSrjaUqwuhR7V5903ev/cxQgghRAGT4L0YGzx4MFWqVGHatGl07tyZ5ORkgoKCaNeuHSNHjsz0GEVRmDdvHnq9nnbt2rF161brUPjmzZtnKL969Wp69uyZZRuGDRvGnDlzWLduHd27d6dHjx5ERUXx0UcfERERQc2aNdm5cycVKlTIn4sWQgiRPw7OgMjTWrK3ftvA7a6lQh/rDjGX4edP4PvR4BEIj75QMG2JDYPUOPCpqvWMZ0VV4eiXEH4SHNyh+aT8qV+ny/3yb8+8oQXvR5dCgxHFNzeAEEKIh4aiqqpa1I24U1xcHB4eHsTGxuLu7m7zXEpKChcvXiQ4ODjL3mJRvMj3TAghikDEKfiyqTZEvutSqNUt83KqCluHwMmVYOcMr+yEgCfzty2/r4Ido7Rh6+5loUorqPICBDcCOyctA/ylg3BuJ5z7XkukB9BqMtQbnL9tyQ2zEWY9pmWm77wYHs/6RndJkt3nLCGEEMWbzHkXQgghHiSmNNj0pha4V2sPNbtmXVZRoN0sqPi8Flyv6gExIfnTjrQkbc31zW9q51Z0WmB+7GtY1R2+CIZlbWDqI7Cyi5YhPi4M7Fygdv+iH8avt4OnB2qPjyzUbnSIEm358uUoimLdDAYD5cqV45VXXiEsLCxf62rSpAlNmjTJ13MqisLEiRPz9ZyZOXToEBMnTsyQX0kUD0lJSUycODHX+a0mTpwoq0M9ACR4F0KIh9Wvs2FaFdg2TOupFQ+G/V/AtTPg7AVtZ2Y/TB20ILX7N1CmBiRchdW9wGLOWxtu/AtfNdd69FGgyQcwJhR6rYM6A8C9HJiStXnoqXHgUgae6ge91sLoC9B+ttauolb7FTA4QsTvcOW3om6NyCfLli3j8OHD7N69m0GDBrF69WoaNmxIYmJivtWxYMECFixYkG/nK0yHDh1i0qRJErwXU0lJSUyaNCnXwfvAgQM5fPhwwTRKFBqZ8y6EEA+j5Juw73OtR/T4cm0rW0dbkqtGZ7B3LuoWivsRdhx+mak9bjsDXH1ydpyjB/ReC4sawNU/tCzrj3W/vzb8sV67IZSWAC4+2rJsFZtoz1VpqW2qqi1ZF3oUfGtC2drFc7k659La63BiBRxZkLfkeaLYqFmzJnXq1AHg+eefx2w28/HHH7N582Z69+6dp3MnJSXh7OxM9erV86Op+cJoNFpHGhSl5ORkHB0dpfe3kKX/TJYrV45y5coVdXNEHuXqndJkMvHhhx8SHByMk5MTFStW5KOPPsJisVjLqKrKxIkTCQgIwMnJiSZNmnDmzJl8b7gQQog8OLZMC9y9q2jDqnV22hrgWwbDjKra0GZRshhTYPNgUM3a97RGp9wd71EO6r+tPd7/Re5738NPwv+6w4YBWuBeoQG88cvtwP1OigJ+NaHOKxBYt3gG7umeubWayl/bIeZK0bZFFIhnn9Vuyly+fBnQPssuWLCAJ554AicnJ0qVKkW3bt24cOGCzXFNmjShZs2aHDhwgPr16+Ps7Myrr75qfe7uYfPR0dEMHjyYsmXLYm9vT8WKFRk7diypqak25eLi4hg0aBBeXl64urrywgsv8M8//+ToWvbt24eiKHz77beMGjWKsmXL4uDgwH///QfAnj17aNasGe7u7jg7O/Pcc8/x008/WY+fOHEi7777LgDBwcHWKQbpvbxZDd0PCgqif//+1q/Tpyjs2rWLV199FR8fH5ydnUlNTbW+bkePHqVhw4Y4OztTsWJFPv/8c5uYIisWi4W5c+davz+enp48++yzbN261abMlClTqFq1Kg4ODpQpU4aXX36Z0NBQa5nhw4fj4uJCXFxchjp69OiBr68vRqPxnu1J179/f1xdXfn7779p1aoVLi4u+Pv78/nnnwNw5MgRGjRogIuLC1WqVOGbb76xOf769esMHjyY6tWr4+rqSpkyZWjatCkHDx60lrl06RI+PtpN2UmTJlm/P+mvffrQ+BMnTtCtWzdKlSrFI488YvNcul9++QU7Ozveeecdm3akf++WLl2a42sXhSdX75ZffPEFixYtYt68efz1119MmTKFqVOnMnfuXGuZKVOmMGPGDObNm8fRo0fx8/OjRYsWxMfH53vjhRBC3AdTGvzfEu1xg5HQ7WsY+Rc0nwieFSAlFna+q2UIFyVD4g0taL7+tzYEvc20+zvP06+BUymI+k/rQc+JiNPaUPslTeDfH0HRQ8N34OUtGTPcl0S+NbTkeqpZy4QvHjjpgW16UPT6668zfPhwmjdvzubNm1mwYAFnzpyhfv36XL161ebYiIgI+vTpQ69evdi5cyeDB2eeZDElJYXnn3+eFStWMHLkSHbs2EGfPn2YMmUKXbp0sZZTVZVOnTpZg+9Nmzbx7LPP0rp161xd05gxYwgJCWHRokVs27aNMmXKsHLlSlq2bIm7uzvffPMNa9eupXTp0rRq1coawA8cOJC339Zu4m3cuJHDhw9z+PBhnnrqqVzVn+7VV1/Fzs6Ob7/9lvXr12Nnp02HiYyMpHfv3vTp04etW7fSunVrxowZw8qVK+95zv79+zNs2DDq1q3LmjVr+O677+jQoQOXLl2ylnnzzTd57733aNGiBVu3buXjjz/mhx9+oH79+ty4ccPatqSkJNauXWtz/piYGLZs2UKfPn2s7c0po9FIly5daNu2LVu2bLFe1wcffEC/fv149dVX2bRpE48++ij9+/fn+PHj1mOjo6MBmDBhAjt27GDZsmVUrFiRJk2aWG+e+Pv788MPPwAwYMAA6/dn3LhxNu3o0qULlSpVYt26dSxatCjTtjZo0IBPPvmE6dOnW298nDlzhrfeeos+ffowYMCAXF27KCRqLrRt21Z99dVXbfZ16dJF7dOnj6qqqmqxWFQ/Pz/1888/tz6fkpKienh4qIsWLcpRHbGxsSqgxsbGZnguOTlZPXv2rJqcnJybZosiJN8zIYqh379T1Qnuqjq1iqoaU22fM5tV9evW2vM/flg07RM5Z7Go6qk1qvp5kPY9m+ipqn9/n7dzHpimnWvOU6pqMmZd7upfqvpdH61set0bXlPVG//lrf7i6K8d2jVOLq+qqQlF3Zo8ye5z1oNu2bJlKqAeOXJENRqNanx8vLp9+3bVx8dHdXNzUyMjI9XDhw+rgDp9+nSbY69cuaI6OTmpo0ePtu5r3LixCqg//fRThroaN26sNm7c2Pr1okWLVEBdu3atTbkvvvhCBdRdu3apqqqq33//vQqos2fPtin36aefqoA6YcKEbK9x7969KqA2atTIZn9iYqJaunRptX379jb7zWaz+vjjj6tPP/20dd/UqVNVQL148WKG82fVhgoVKqj9+vWzfp3+Wr/88ssZyqa/br/99pvN/urVq6utWrXK9voOHDigAurYsWOzLPPXX3+pgDp48GCb/b/99psKqB988IF131NPPaXWr1/fptyCBQtUQP3jjz+ybcvd+vXrpwLqhg0brPuMRqPq4+OjAuqJEyes+6OiolS9Xq+OHDkyy/OZTCbVaDSqzZo1Uzt37mzdf/369Sy/DxMmTFABdfz48Vk+dyeLxaK2adNG9fT0VP/880+1evXqatWqVdWEhIL5O5ecnKzGxsbmapMYwlauet4bNGjATz/9ZB26c+rUKX755RfatGkDwMWLF4mMjKRly5bWYxwcHGjcuDGHDh3K9JypqanExcXZbEIIIQqIqsLhedrjpweBwd72eZ0O6g/VHh9fDinyN7nYig3VsrZvHATJ0drc8YE/5X2t9jt73//ckHmZ0OPw5fPw11ZAgZrdYPBv0GUxeD2St/qLoyqtoFQQpMTA6TVF3RqRR88++yx2dna4ubnRrl07/Pz8+P777/H19WX79u0oikKfPn0wmUzWzc/Pj8cffzxDkrBSpUrRtGnTe9b5888/4+LiQrdutss2pg93Tu/53rt3L0CGufe9evXK1TV27Wq7ysShQ4eIjo6mX79+NtdlsVh44YUXOHr0aL4m7MuqHen8/Px4+umnbfY99thj1qkLWfn+++8BeOutt7Isk/4a3jmMH+Dpp5+mWrVqNtMEXnnlFQ4dOsS5c+es+5YtW0bdunWpWbNmtm3JjKIo1rgIwGAwUKlSJfz9/XnyydvLcJYuXZoyZcpkuN5Fixbx1FNP4ejoiMFgwM7Ojp9++om//vorV+3I6nXPrL0rVqzAzc2NOnXqcPHiRdauXYuLi0uu6suJlJQUgiu44uHhkastODiYlJSUfG9PSZWrzBXvvfcesbGxVK1aFb1ej9ls5tNPP+Wll14CtCEwAL6+vjbH+fr6ZvnLOHnyZCZNmnQ/bRdCCJFbl36ByNNgcNKS02WmckttLvyNf+Dkt1Av6w9JogioKhxfBrvGQ1o86O2h8Wh4bnj+ZGh3cNPmvv/0ERyYos2f19/xcSH6gnbTwJikzWtvOw3KVMt7vcWZTg9Pvw4/joHDC7TM+Dp9UbdK3KcVK1ZQrVo1DAYDvr6++Pv7W5+7evUqqqpm+CybrmLFijZf33lsdqKiovDz88uQrK1MmTIYDAaioqKs5QwGA15eXjbl/PxyNwXl7nalD/e/++bBnaKjo/M9aMvq9bn7+kDr8EtOTs72fNevX0ev12f7eqS/lpnVHRAQYBOT9O7dm3feeYfly5czefJkzp49y9GjR+97pQBnZ2ccHR1t9tnb21O6dOkMZe3t7W2C0hkzZjBq1CjeeOMNPv74Y7y9vdHr9YwbNy7XwXtOfy5B+1506NCB+fPn07lzZ2rVqpWrunIqLS2NyGtmLh6vgLtbzvqP4+ItBNe+TFpaWobX9WGVq+B9zZo1rFy5klWrVlGjRg1+//13hg8fTkBAAP369bOWu/sPk6qqWWaWHDNmDCNHjrR+HRcXR2BgYG6aJYQQIqfSe92f6KVl0s6MTqcF7NuGaetbP/1a8Vi2S2iB++5xcOhWrplyT0PHeeDzaP7W8/RrWh3pve+P99D2J0bBym6QdAP8H4dea8DBNX/rLq6e6qsl8ov6F85u1m5qiBKpWrVq1mzzd/P29kZRFA4ePIiDg0OG5+/el9PM6V5eXvz2228ZPhNfu3YNk8mEt7e3tZzJZCIqKsomwE3vIMupu9uVfv65c+daE/TdLasbFndycHDIkGAPbgfM92pHXvn4+GA2m4mMjLznjYGIiIgM2dXDw8OtrwVoIyc6duzIihUr+OSTT1i2bBmOjo7WjsnCtHLlSpo0acLChQtt9t9P3rDcvO67d+9m4cKFPP3002zatIkNGzbkuOf+fji5qji5qjkqa1RzVu5hkqth8++++y7vv/8+PXv2pFatWvTt25cRI0YwefJk4PZdwbv/wFy7di3LPwgODg64u7vbbEIIIQrAjX/hnx8ABZ7NPKmS1WM9tWW+Yq/A2S2F0jxxDxYLfD/6duDebAK8+kP+B+5wu/cdtN53swmMybC6J0SfB4/y2prsD0vgDtprkv57c2Ca9v0QD5x27dqhqiphYWHUqVMnw3a/vZLNmjUjISGBzZs32+xfsWKF9XnQlq4D+N///mdTbtWqVfdVb7rnnnsOT09Pzp49m+l11alTB3t7bRpV+g2KzHrBg4KCOH36tM2+n3/+mYSEhDy1L6fSE/fdHeDeKX0aw93J744ePcpff/1lfa3TvfLKK4SHh7Nz505WrlxJ586d8fT0zN+G54CiKBluDp0+fTrD2uzZfX9yKz3hYvoU5w4dOjBgwAAuXryY53NnxZLLf8JWroL3pKQkdHct56LX663LOgQHB+Pn58fu3butz6elpbF//37q16+fD80tmdKXcchqS5+ToyhKhj/qe/fupU2bNnh5eVnXDR01ahRhYVoW6PQlQWJiYqzHhIeHU7NmTRo0aEBMTAyXLl3Ksu4jR44At5eFSN98fX1p3759hmX+Dhw4QPv27QkICMi0vUKIYuzIrWGAj7YG70rZl7Vz1HpfAQ7N0Xp8RdGxmGH7sFurBCjQbhY0HFmwQ7effg2cSt/KPL9Wm1sf+n/amvB91j8YmeRz65nXwcEdrp2FczuKujWiADz33HO89tprvPLKK4wePZrt27ezd+9eVq1axeDBg7MNGrPz8ssv89hjj9GvXz9mzpzJnj17mDhxIh988AFt2rShefPmALRs2ZJGjRoxevRoJk+ezO7du5k4cWKel+1ydXVl7ty5LF68mJ49e7J+/XoOHDjAhg0bGD9+PG+++aa1bPoNitmzZ3P48GGOHTtm7f3t27cv33//PePHj+enn35i7ty5vPnmm3h4eOSpfTnVsGFD+vbtyyeffMLrr7/Otm3b2LVrF1988YV19atHH32U1157jblz5zJixAh27drFkiVLaNeuHYGBgYwYMcLmnC1btqRcuXIMHjyYyMhIXnnlFZvnK1WqRKVK93jPzAft2rVj165dTJgwgZ9//pmFCxfSqlUrgoODbcq5ublRoUIFtmzZwq5duzh27JhNpv2cMpvNvPTSSyiKwqpVq9Dr9SxfvhwPDw969OhBWlpaPl3ZXfWqaq42YStXwXv79u359NNP2bFjB5cuXWLTpk3MmDGDzp07A1rwOXz4cD777DM2bdrEn3/+Sf/+/XF2ds51oo0HSUREhHWbNWsW7u7uNvtmz56d6XGLFy+mefPm+Pn5sWHDBs6ePcuiRYuIjY1l+vTpmR5z/vx5GjRoQPny5dm1a5fNncM9e/bY1BsREUHt2rWtz6e3Kzw8nB07dpCYmEjbtm1tfnkTExN5/PHHmTdvXv68OEKIwpEYBb+v1h7ndA57nQHa3PiIU9pceVE0zCbY/CacWAGKDjot1NZHL2h39r5vHQp/bdPm1/dcXTC9/SWBk+ftm1r7p8hNrQfU4sWLmTdvHgcOHKBnz560bduW8ePHk5iYmCHJWk45Ojqyd+9eevfuzdSpU2ndujXLly/nnXfeYePGjdZyOp2OrVu30rt3b6ZMmUKnTp04dOgQO3fuzPN19enTh71795KQkMDrr79O8+bNGTZsGCdOnLDpjW7SpAljxoxh27ZtNGjQgLp161qXNHv33Xd59913Wb58Oe3bt2fDhg2sXbu2UHuqly9fzowZMzh06BDdunWje/fubNmyxSbIXbhwIZ9//jk7d+6kXbt2jB07lpYtW3Lo0KEM8+11Op11DfjAwMAMPfPpyf0K2tixYxk1ahRLly6lbdu2fPXVVyxatIgGDRpkKLt06VKcnZ3p0KEDdevWZeLEibmub8KECRw8eJBVq1ZZR0+XKlWK7777jpMnTzJ69Oi8XlKmLKi52oQtRVVz/s4THx/PuHHj2LRpE9euXSMgIICXXnqJ8ePHW4faqKrKpEmTWLx4MTdv3uSZZ55h/vz5Oc7YGBcXh4eHB7GxsRmG0KekpHDx4kWCg4NvJy1QVS1pTlGwc4ZczuVZvnw5w4cPt+kpT6coCps2baJTp06EhobyyCOPMHjwYGbOnJmhbExMDJ6enuzbt4/nn3+emzdvEhISQqtWrWjSpAkrVqywrk156dIlgoODOXnyJE888USO27Vt2zY6dOjA6dOnMx0mdmd7s5Lp90wIUfgOTIWfP9HmKb+2P+d/u7aPhGNLoXIr6L323uVF/jIbYcNAbY61ooeuXxbuXOvUeJj1mJbNHqDrUqiVdcKrh0JiFMyqBcZEbepAlVZF3aJcye5zlhBCFJT0vz0X//bHLYcJ6+LjLQRXjZC/V3fIVcI6Nzc3Zs2axaxZs7IsoygKEydOvK87QPfFmASfBRROXXf7IBzs838pBYB169aRlpaW5V2vu+9wHjp0iN69e9OrVy/mzp2bYXpDbsXExFjnV6XfBBBClAAWi5YNPPEaJFyDxOuQeAOOfqU9X29I7m461nsLjn0N//4I1889vD2uReWHMVrgrrODF5dBtfaFW7+DGzQdCzvfhRYfS+AO4OIFdQdo00n2T9FWZ8jnpFxCCPGgyk2P+v30vC9YsICpU6cSERFBjRo1mDVrFg0bNsyy/P79+xk5ciRnzpwhICCA0aNH88Ybb9iU2bBhA+PGjeP8+fM88sgjfPrpp9aR56BNK546dSrHjx8nIiIi087N9A7uJUuW2HRw16hRI1fXl7cITxSYf//9F3d39xwv9dC5c2fat2/P/Pnzswzc69evj6urq81mNputz8fGxuLq6oqLi4t12EyHDh2oWrVqvlyTEKKARZ2Hr5rBvNqwrDWs6wc734H9n2vZwd3LQvVOuTun1yNQta32+LBMlylUCdfhxDfa4xeXF37gnq7uQBh7FeoPKZr6i6P6b2tTSsKOwYW9Rd0aIYQoMQpyzvuaNWsYPnw4Y8eO5eTJkzRs2JDWrVsTEhKSafmLFy/Spk0bGjZsyMmTJ/nggw8YOnQoGzZssJY5fPgwPXr0oG/fvpw6dYq+ffvSvXt3fvvtN2uZnEwrnjJlCjNmzGDevHkcPXoUPz8/WrRokevVBHLV814s2TlrPeBFVXcByW55vcx07NiRTZs2cfDgwSzvLq1Zs4Zq1WzX4tXrbyc7cnNz48SJE5hMJvbv38/UqVNZtGjR/V2AEKJwnV4L20dAWgLoHcCjLLiUARdvLWu8axmo3hEM9rk/d/2h8Pd2OPUdPP8huN17OSGRD04sB3MaBDwF1doVbVvu5+fmQeZaBmr3h98Wwv6p8EjTom6REEKUCJZbW07L5saMGTMYMGAAAwcOBGDWrFn8+OOPLFy40Lo62p0WLVpE+fLlraPKq1WrxrFjx5g2bZp1ubxZs2bRokULxowZA2jLnO/fv59Zs2axerWWS6h169bWlRAyo6oqs2bNYuzYsXTp0gWAb775Bl9fX1atWsXrr7+e42ss+cG7ohTY0PWiVKVKFWJjY4mIiMhR7/vixYt57733aN26NTt27KBx48YZygQGBmabLVOn01mfr1q1KpGRkfTo0YMDBw7c/4UIIQpWaoLWu37qVjK68vW1edEe5bI/LjfKPwPl6kLoUW3ufNtp+XdukTmzEY7eyi79zBvZlxVF47mhWj6IkENaQsegjEmlhBBC2DKjYs7hcPj0cnFxcTb7HRwcMiyrl5aWxvHjx3n//fdt9qcnKszM4cOHadmypc2+Vq1asXTpUoxGI3Z2dhw+fDjDCgWtWrXKdhr53S5evEhkZKRNXQ4ODtYl+nITvMuw+WKqW7du2NvbM2XKlEyfvzvhnaIoLF68mL59+9KmTRv27duX5zaMGDGCU6dOsWnTpjyfSwhRAMJ/h8WNtMBd0UGTMdBvW/4G7umajtP+P7YUIv/M//MLW39thfgIbfREjU5F3RqRGfcAeLKv9nh/5u/VQgghbJnV3G2gdUB6eHhYt8x60W/cuIHZbMbX13Z0oK+vL5GRkZm2JTIyMtPyJpOJGzduZFsmq3NmVU/6cXk5DzwIPe8PqMDAQGbOnMmQIUOIi4vj5ZdfJigoiNDQUFasWIGrq2uG5eIURWHBggXo9Xratm3Ltm3baNr09lC+qKioDD8gnp6eWWaBd3d3Z+DAgUyYMIFOnTqhKAoJCQn8999/1jIXL17k999/p3Tp0pQvXz4fXwEhRLau/QVLW4I5VZvL3vUrqFC/4Oqr2Fgbdn92C3z/HvTfLkm6CtJvi7X/67wKBofsy4qi02C4lpfg4n74dw9Ubl7ULXqoWSwWwsPDcXNzy9XUQyFE7qiqSnx8PAEBAblOkn0/w+avXLlik23+7l73O939u3+vqciZlb97f27PmV9ty4wE78XY4MGDqVKlCtOmTaNz584kJycTFBREu3btGDlyZKbHKIrCvHnz0Ov1tGvXjq1bt1qHwjdvnvFDxerVq+nZs2eWbRg2bBhz5sxh3bp1dO/enWPHjvH8889bn09vR79+/Vi+fHkerlYIkSv/96UWuJevBz1XgXPpgq+z5Sfwzy64/Auc2Vi4S5Y9TMJPwpXftAzzhbGeu7h/nuW1Gyz/twQ2vAoDfwLvykXdqodWeHg4gYGBRd0MIR4aV65coVy53I32s6BgJmcBq+VWOXd393suFeft7Y1er8/QUXnt2rUMPd7p/Pz8Mi1vMBjw8vLKtkxW58yqHtB64O+cDp3b84AE74Wuf//+9O/fP9Pn1EwyKjZv3jzToDtdkyZNMj1u9uzZzJ49O9tz56Rd5cuXx2g03rM+IUQhMibDH+u1x43fK5zAHbRApcEI2PcZ7BoHVV54IHOOFLnflmj/1+gMbn5F2xZxby0/gYjTcOUIrOquBfBZ/U4mXIdzO7WlHJOiISlK2xJvgJ0TvPpD4bb9AePm5gZA8Ijx6BwyH1WYn4LWXyvwOu5k8nYttLoM/0UUWl3mW8OTC4u+UnCh1aUkJBVaXQCWu+aGFxSTauRA8gbr71xuWFRty2nZnLK3t6d27drs3r3bZhm33bt307Fjx0yPqVevHtu2bbPZt2vXLurUqWNdKrtevXrs3r3bZt77rl27qF8/56Mdg4OD8fPzY/fu3Tz55JOANkd///79fPHFFzk+D0jwLoQQJc9f2yE1FjzKQ3DG5JQF6rmh8PtKiAmBgzOg2bjCrf9Bl3Ad/rx1Y+aZnCewEUXI4AA9VsKXTSH6Aqx9GfpuAr2dbbm/d8LWIVqwnhn7wgvMHlTpw091Do7oCyF4N+gLeUqLoeCvyVqVrvBWmFAUu3sXykf6Qvy+KTpTodUFYFEKd2WQ+xk6bs5Fz3tOy6UbOXIkffv2pU6dOtSrV48lS5YQEhJiXbd9zJgxhIWFsWLFCgDeeOMN5s2bx8iRIxk0aBCHDx9m6dKl1izyoI1CbtSoEV988QUdO3Zky5Yt7Nmzh19++cVa5l7TihVFYfjw4Xz22WdUrlyZypUr89lnn+Hs7EyvXr1ydY0SvAshRElzUnvT4cnekMu5Znlm5wStPoM1feDQHK0NpSsWbhseZMeXa8vDla0N5eoUdWtETrn6QK/vtDwUlw5qK0C0m6XlhUhLgl1j4djXWlmfqtrqDc5e2ubiffuxqkouCSHEA60gg/cePXoQFRXFRx99REREBDVr1mTnzp1UqFABgIiICJs134ODg9m5cycjRoxg/vz5BAQEMGfOHOsycQD169fnu+++48MPP2TcuHE88sgjrFmzhmeeecZaJifTikePHk1ycjKDBw/m5s2bPPPMM+zatSvXoxcUtZiNgY6Li8PDw4PY2NgMcxtSUlK4ePEiwcHBWSZZE8WLfM+EyGc3L8HsxwEFhp/WhrIXNlWFbzvDhb3waBt4afW9jxH3ZjbCzJqQEAldvoTHuhd1i0Ru/fMjrOoBqPDC51DhOdgwEG6c056vNwSajS/SJITZfc4q6dKv7ZH3PyuUnvfg764WeB13Mvnkfojy/TL8E1ZodZmvXy+0ugD0VR4ptLqU+MRCqwvAEltYw+bT+Dnpu1z9HUn//fzlzwBc3XLW8ZAQb6FBzfAH8u/V/ZKl4oQQoiT5fZX2f8XGRRO4g9Yz2PoL0Bm0+bv/7imadjxozm7RAndXX6jeqahbI+5HlVbaHHiAHz+Ar5ppgburH/TdDK0+ldUDhBAPtfSe95xuwpYE70IIUVJYzHDyf9rj9PWli4rPo/CMNoeM79+F1ISibc+DwGZ5uMKdtyjyUb23tN9P1aJNgXi0Lbx5CB55/t7HCiHEA86MLlebsCWviBBClBQX90NcKDh6QNW2Rd0aaDwa3AK0JF0737m/c4QcgS1vQdT5/G1bSaKq8OscCP0/bXm42rI8XImmKNB2Bjw/Vpv+0PN/4OJV1K0SQohiQVUVLDncVFV63u8mCeuEEA+2uAhIvA6p8XdsceBZASo1K5rkUIk34PRaSImB54blfLm1E99q/9d6UUscV9QcPaDbUljeFk6t1jLfP/FSzo8/vQ62DNZ6J6MvQv8dD1+yLlMqbB8Bv98aUVH/bXDL3Zqvohgy2Gs3t4QQQtgoyIR1DwMJ3oUQDyaLBX54D/5vSdZl/GpB4/e1XuysgkazUQu2jUlgStHWWDcmaUNiy9XNeeBtMcN/P2mZ4s99D5Zby8f8vQN6fHvvjO1J0fD3du1xUQ+Zv1OF+tBkDOz9FHaM0jKke1fO/hhVhYPT4eePb++7/Ctc2PdwDS1OuKZl7b/yGyg6aDVZlocTQgjxQDOrOsxqzgZ/m4tVWvXiQYJ3IcSDx2zS1lM+dSsLuqsvOLjd3uyc4dIvEPkHrOltG8RbzBB5Ci4egIsHIeSwFqxnxtUPmo6FJ3qDTp95mZuX4cQ38PtqiA+/vT/gKYgNhat/wpIm0PVrqNw862v6Y73WQ+1bC/wfv6+XpcA0HKW9XpcOwrpXYOAesMsi07PZCDtGwolby93VfxtMafB/i+HnT6Bik4ej9z3iNKx+SZsG4eABLy7TRoII8ZBbsGABU6dOJSIigho1ajBr1iwaNmxY1M0SQuQTCwqWHM7ctiDR+90keBdCPFhMabBxoJa5W9FD58Xw2IsZyyVFw+F5WpKw9CC+dEWtlz31rqVWFB3YuWgBqZ0TGJy0Ie8JkbD1bTiyEFp8BJWaa4GnxQz/7tLWdf53N6S/+TiVhsd6wFN9wbcGxIXDmr4Qdgz+1027EdBgVOZrt5+8NWT+yT7FL7jV6bW5vYsawNU/YNeH0HZaxnKp8bC2H5z/SXtNW0+BpwdB/FXt+sKOaUttPfpC4V9DbphNoM/D2+df22HjIO2mkFcleOm7e49WEOIhsGbNGoYPH86CBQt47rnnWLx4Ma1bt+bs2bOUL19Eq2sIIfKVDJvPG0lYVwgURcl269+/v7Xc5s2bbY7du3cvbdq0wcvLC2dnZ6pXr86oUaMIC9PW39y3bx+KohATE2M9Jjw8nJo1a9KgQQNiYmK4dOlSlnUfOXIEgOXLl9vs9/X1pX379pw5c8amPZMnT6Zu3bq4ublRpkwZOnXqxLlz5wrstRMiV4zJWhB+dgvo7aH7iswDdwDn0tp6y8P/0HqO7V21xGupcVpP6KNttXWa3/gVxkXBB6Hw7n9a+SH/p/3f8lNw9IRrZ7Xg+9tOsHcyzHoMVvfUAnhUrTf5xeUw6m9o/bkWuAO4B8ArO6F2f63cz5/A2r5w9Yx2c0G9FfRHnILI09o1Fde1v939tRslAEe/hLNbtfZHndcy5G8ZAgvqaYG7nTP0XKUF7qDN8X76Ne3x3k+0KQ+ZSbiu3SiJi8j/9t+8rL3ukX9oveLhv0PYCW2qw2+LYcc7sKIjzKgBH3vBxte1ID63jizUhsobk+CRptooBQnchQBgxowZDBgwgIEDB1KtWjVmzZpFYGAgCxcuLOqmCSHySfqw+Zxuwpb0vBeCiIjbHzTXrFnD+PHjbQJeJ6fME08tXryYwYMH069fPzZs2EBQUBAhISGsWLGC6dOnM2PGjAzHnD9/nhYtWlC1alXWr1+Ps7OzNbDfs2cPNWrUsCnv5XU7A667uzvnzp1DVVXCwsIYPXo0bdu25Z9//sHeXlu2aP/+/bz11lvUrVsXk8nE2LFjadmyJWfPnsXFJYdzf4UoCKkJWsB86aDWM95zpdYTfi/pQXy9IXD+Z/B6BPwey3oYfDqDA9QfAk/2hgPTtLn1F/ZpG4BTKW04fZ1XtXNmd572s7Vh9Dvf0ea1p89t1ztogW16MPtoG629xVXl5lB/KByaA5vf1IbHJ163LePqq/U0l33Kdv9zw+DoUi14/msr1Ohk+3xcBHzTDqL+017rV3eBq0/e2pt8U0uad3KFVm9unP4OUKHTwnv/rIA2GmPXh3BkgfZ1nQHayIO89OAL8QBJS0vj+PHjvP/++zb7W7ZsyaFDhzI9JjU1ldTUVOvXcXFxmZYTQhQf2rD5nPWo57Tcw6TEf2pQVZVkU3KR1O1kcELJwfBVPz8/62MPDw8URbHZl5nQ0FCGDh3K0KFDmTlzpnV/UFAQjRo1sulpT3f69GlatWpFkyZNWLFiBXZ2djbPe3l5ZVvvne3y9/dnxIgRdOjQgXPnzlGrVi0AfvjhB5tjli1bRpkyZTh+/DiNGjXK9pqEKDApsbCym7bUlr0b9FoDQc/l7hzOpaFWt9zX7VQKWn2q9SIfmKoNAa/1IlTvmPW878zU7qf1yP8wBqL+1QJLcyrEhNxRpn/u21fYmo2Hy4e0IfBpCdoNiLJPQeAzUP5ZCGqg5R24m3NpbX3s/Z/D3s+gWvvbQfGdgTtoIyT+1xX6bQdH99y1z2LRltw7+a02fN1864O/zg6cPLXh/OkbipaQ0KuS1jvuXRm8KkPsFdj0OpxeAzoDdJiX+VSHdMZkbZj8X9u0r1t8pN3kKG7TH4QoQjdu3MBsNuPra7vagq+vL5GRkZkeM3nyZCZNmlQYzRNC5BOjaiBNzcFNb8AoS8VlUOKD92RTMs+seqZI6v6t12842zkXyLnXrVtHWloao0dnvtSMp6enzdeHDh2id+/e9OrVi7lz56LL7oNkDsTExLBq1SqADDcB7hQbGwtA6dLFuDdQPNiSY2BlFwg7rg1h77MRytUu/HaUCoKO8/N2jnJ1YOBu7bExBRKualt8hDasvyRkYtfbQa+18Pc28KkGAU9oowtyot5g+G0R3DgHf6yDx3vaBu4egdoohY2vaVMJ1vSG3utzdv7EKPh9pZaH4Oal2/t9a2k5CGq9mItRDc9oQfv6V7Ul3nR6aDc78wA+8YY2IiT0qDbtofMiqNk1h/UI8fC5u1NEVdUsO0rGjBnDyJEjrV/HxcURGBhYoO0TQuSNBZ0krMuDEh+8P6j+/fdf3N3d8ff3z1H5zp0706NHD+bPzzp4qF+/foagPjY2Fr1eb33s6uqKqqokJWnZtTt06EDVqlUzPZ+qqowcOZIGDRpQs2bNHLVTiHyVFA3fdoaI37VkcC9vAf/HirpV+cPOEUpV0LaSxsXr/kYJOHpow+d/mgT7JmvL0K3oBNHnwaM89N+m3STpvQ6+aa9luN84CLoty3zouqpC6DE4thT+3Hi7l93BQxtl8VRf8H/i/nrAa3TSlvvbOEjLnK/ood1M7VypCXDliLaiwR8bIDZEu7H00mrtmoQQGXh7e6PX6zP0sl+7di1Db3w6BwcHHBxyeHNQCFEsmFUFcw571HNa7mFS4oN3J4MTv/X6rcjqLijZ3WnOTMeOHdm0aRMHDx7MckmVNWvWUK1aNZt96YE7gJubGydOnMBkMrF//36mTp3KokWLsqxzyJAhnD59ml9++SXH7RQi3yRFawnEIk+Dsxe8vBX85CZSiffM69q88JuXYEF9SIu/Fbhvv30jo+xT0PN/8L8XteSEO0bdDpwTo7TpEyFHtOR4d85l938c6g7Ser7t82HUVK1u2lz2Ta/D8WXa0n/JNyH8JKjm2+U8y0PvDeBTJe91CvGAsre3p3bt2uzevZvOnTtb9+/evZuOHTsWYcuEEPnJjA5zDnvezdLznkGJD94VRSmwoetFqUqVKsTGxhIREZGj3vfFixfz3nvv0bp1a3bs2EHjxo0zlAkMDKRSpUpZnkOn01mfr1q1KpGRkfTo0YMDBw5kKPv222+zdetWDhw4QLly5XJxZULkg8QoLXC/+ge4+GiBu2/1om6VyA/2LtBgJPw4RgvcPctrc9vvHoFQsQl0WaKtK398Gdy8CLFhWr6AO+kdtGC97kAt6M/veeaP99AC9c2D4b/dt/d7loeghlDhOajWThtVIITI1siRI+nbty916tShXr16LFmyhJCQEN54442ibpoQIp9YVB2WHGaRt6gSvN+txAfvD6pu3brx/vvvM2XKFJuEdeliYmJs5r0risLixYvR6/W0adOGHTt20KRJkzy1YcSIEcyYMYNNmzZZ74Krqsrbb7/Npk2b2LdvH8HBwXmqQ4hsxYZqS42ZUsGUcuv/ZDiyCK6dAZcy0G8blMl8aocooercmktuSoU+G7KeOlCjMyRFaT3v6Vn+AbwfhcCntQR5hZGh/4le2k2HC/ug3NNaskRPWZNaiNzq0aMHUVFRfPTRR0RERFCzZk127txJhQolcPqQECJT0vOeNxK8F1OBgYHMnDmTIUOGEBcXx8svv0xQUBChoaGsWLECV1dXpk+fbnOMoigsWLAAvV5P27Zt2bZtG02bNrU+HxUVlWEumaenJ46OmWfEdnd3Z+DAgUyYMIFOnTqhKApvvfUWq1atYsuWLbi5uVnP5+HhkeWSd0LkmsUMv87Sso5bslhL29VPC9xlKPKDx84R3vhFm7N+r+SbdQdqyfxu/Avl6mpBe1Esp1e9o7YJIfJk8ODBDB48uKibIYQoIBZyPpfdUrBNKZEkeC/GBg8eTJUqVZg2bRqdO3cmOTmZoKAg2rVrZ5Nd9U6KojBv3jz0ej3t2rVj69at1qHwzZtnXPN69erV9OzZM8s2DBs2jDlz5rBu3Tq6d+/OwoULATL06i9btoz+/fvf34UKcafYUNj4Oly+lUuh9CPa0mJ2TlpWcYMjOHtDw5HZr58uSjZFyfkQ98ez/hsmhBBCiOIjd9nm87Z61oNIgvdC1r9//yyDXDWTeR3NmzfPNOhO16RJk0yPmz17NrNnz8723DlpV/ny5TEajTk+jxDZMqXBngnaEPjgRtqcYBfv28+f2QTbhmnrttu5QJup2pBkWQ9bCCGEEKLEM6s6zDmc857Tcg8TCd6FEIXn6FdaJnHQ1tsG8K0JwY0hORpOrdb2la0NXb6UnnUhhBBCiAeIBQULOR02L503d5PgXQhROJKiYf8X2uMqrSEmREs6d/VPbQNAgYajoMn7oLcrsqYKIYQQQoj8Jz3veSPBuxCicByYCikxUKaGtka3Tg8J1+HSQbh4ABKuQb23tEzdQgghhBDigZO7bPMSvN9NgnchRMGLOg//96X2uOXHWuAO4OoDNbtomxBCCCGEeKBZVAVLTrPN57Dcw0SC96Ro0NuDg2tRt0SI4u3a3/B/S+DmRWg3K+u1tzOzezxYjFCpBVRqVmBNFEIIIYLWX8OgdyjweqKeLVPgddyp9O83C60uxTnzZYQLgt63cF9HNSzy3oXyi7Nz4dUFULF84dRjToWz93eoJRc975JtPqOHO3hPitLm3erswOdRmWMrtAD1vz2gmkHRaz3Eil5ba9rvcQisW3RtU1XtZlN8xO0tLgISr4N7APjVAt8a4Oafu+zsceEQehQ8K4B3FbC/443GYoZ/foDfFsPF/bf3f9cLBuwCe5d7n//Sr/D3dlB0Wq+7EEIIIYR4KFlUHZYczmXPabmHycMdvDt6guGatmxVzGVtPWlZkurhYzbC3zu0TOiXDmZftlZ3aPUpuBbuXWLiwmHdK3DlyL3LOpXWgvgK9aH+0OxHlZz/Gdb2h9TYWzsUKBUEPlXBszz88712gwu04LtqWwg5oiWY2/IWdFuW/e+MxQK7xmqPa/eHMtXu3X4hhBBCCPFAMqNgzmEW+ZyWe5g83MG7Tq8FKtf/gdR4SLgKbn5F3SpRWOIi4PhybUu4NYRK0cEjzbS1xy1mrQfeYgZjktYj/8da+PdHaD4Rnuqv9cgXtNDjWk93ehudvbXedXd/7X9nLy3Avvon3PhXW3Lt0kFtO70Wun4F5epkPO/RpbDzXe0aPctDWqI2GuXmRW1L51RKC7zrDADPQLh8GL5pp63J7vcYNByZddv/WAfhJ8HeDZp8kK8vixBCCCGEKFmk5z1vHu7gHcDOCTzKQWyINgzZ3lXmv6dLTYDYUHD00G5qPEijEk6tge3DtaAcwKUM1O6nBake5TI/JuwEbB8BEb9r//++CtrN1IarF5TT67QebnMq+FSDl1ZD6eCsyxtT4PrfWhv3T9WC8KUtofF72hJseoN2M2LXh7fXW3+sJ3SYAwYHLfv79b/g+jktyZxvDajVTfs9SVehHrSeAjtGwk8faddfuUUmbUnWngdoOEJLTieEEEIIIR5aZnLeo24u2KaUSBK8AziXhrR4SL4JNy/J/HfQAvfo86BaICFZC3JLBd3OEl5SGZPh+/fgxDfa12XrQL3BULU9GOyzP7bsUzDoZ214/U8fa/PEFzeGoAZQ5QV49AUoXTF/2mmxwM8fwS8zta+rtIYuS8DRPfvj7Bwh4Altq94JdoyCP9fDvs+0kQPtZsDPn2jz2AGafggN37l9Y8bVR9uCG2VfT90BEHlaG7WwfoD2unhX0p4zpWnD8Y99DXGh4BEIzw6+v9dBCCGEEEI8MKTnPW9y9YoEBQWhKEqG7a233gJAVVUmTpxIQEAATk5ONGnShDNnzhRIw/OVomgBht4BLEbUmMuoJhMWoxFLWhqW1FQsyclYkpJQzbm/B5TZa3bn1r9/f2u5zZs32xy7d+9e2rRpg5eXF87OzlSvXp1Ro0YRFhYGwL59+1AUhZiYGOsx4eHh1KxZkwYNGhATE8OlS5eyrPvIEW0O9fLly232+5arQPuX3+bM+VBAgdQ4uPEPC+fN5bHHHsPd3R13d3fq1avH999/fz+veuGLOg9ftbgVuCvQZIyWdK1m13sH7ul0enjmdRhyVAuOVbOWyO3HMTDnSZhXV+vVvvSr1sN9P9KSYE3v24F7gxHauuj3Ctzv5uQJ3ZZCl6/AwR1C/w8WNdACd4OjNl+90bv3P6Ki9VQIfFabL/9dLzj3PWweDNMqweoe2vQCgJaf2PbcC5EDqRcuknb5clE3QwghhBD5yKzqcrUJW7nqeT969CjmO4LXP//8kxYtWvDiiy8CMGXKFGbMmMHy5cupUqUKn3zyCS1atODcuXO4ubnlb8vzm06P6lkBc/h5zLHJWCL+zrSYYm+PQ8WKKIacv3QRERHWx2vWrGH8+PGcO3fOus/JKfPAZvHixQwePJh+/fqxYcMGgoKCCAkJYcWKFUyfPp0ZM2ZkOOb8+fO0aNGCqlWrsn79epydna2B/Z49e6hRo4ZNeS8vL+tjd3d3zv1xEjX6ImERkYz+bB5t+77NP3+exD4hFEwplHOHzz+eQKVq2lDxb775ho4dO3Ly5MkM5y4Sp9dBfDi4+mlJ5dz8wNVXC7C3vK2NsHD21uaBP/L8/dfj7g/dv9FuCPzzg7ZdPgQ3/tG2Q3O1eh5tDdXaQ3BjrVc8J36dBed2ajeTOsyFx3vcfzsBHnsRyj8Dm96Ay79qUwReWp35PPjcMNhD9xWwpAncOAere95+ztUPanSCx7pD2dp5q0c8VEzXr3Nt5ixiN25EsbMjcOlXuDz9dFE3SwghhBD5QEXBksNh86okrMsgV8G7j4/tnNXPP/+cRx55hMaNG6OqKrNmzWLs2LF06dIF0AI7X19fVq1axeuvv55/rb6Dqqqoycl5OoclNQ3zzWjMMbGod/eW3uqJRqdDtVggJYXU8+exK1cOnbOz9tw9+PndSoJnSsHDzoKiKLf3ZSE0NJShQ4cydOhQZs6cad0fFBREo0aNbHra050+fZpWrVrRpEkTVqxYgZ2d7dB/Ly+vbOtVFAU/uwQoUxr/coGMeOc9OnTqzLmLodSq9ihEX6B98waAAp5e4OzFp59+ysKFCzly5EjRB+8X9sPGgdmXKV8fun2tBd/5wesRqPeWtqXEwn8/3Qrmf4SkG3DyW22zd4XKLbVeaI+yWZ/PlKolkgPoOE8LfvODZ3notw3O7wX/x/Nv/rmbL/RcCSs6a3Pmq3eEGp2hfL3CSeYnHhhqWhrR337LjQULsSQmavuMRkLfGkKFlStxfLRKgdWdcu4ckRMmUqpPHzzatS2weoQQQoiHXW561KXnPaP7nvOelpbGypUrGTlyJIqicOHCBSIjI2nZsqW1jIODA40bN+bQoUNZBu+pqamkpqZav46Li8tVO9TkZM49VTQ9e4+eOI7i7HzvgqCt0R19SRt+rlq0odH2WR+7bt060tLSGD16dKbPe3p62nx96NAhevfuTa9evZg7dy46nU6r02yEVO2DMElRWgI6s1HLqq5LX8fcoGXbVy3aMHA7F2J0Xqz6bg2AdhPAYA/elbUl9VJiISYEc2I063b/RmJiIvXq1cvZ61CQDs/T/verpS2XlnAV4iMhJUZbq73+29B0nJa0rSA4ekDNLtpmNmq93H9t15ahiw+HMxu1gL7ftqzP8ecGrYx7WS0Izk86PVRunr/nBK1n/d1/QWcnAbu4L/H79nFt8ufWYfKOtWpR5p13uD5nDsnHj3Nl0CCCvluNXUBAvtdtjo8n9O2hGENCSPnnH5xrP4Wdfz7d3BNCCCGEDYuqYFFz1qOe03J3WrBgAVOnTiUiIoIaNWowa9YsGjZsmGX5/fv3M3LkSM6cOUNAQACjR4/mjTfesCmzYcMGxo0bx/nz53nkkUf49NNP6dzZ9nP6vepNSEjg/fffZ/PmzURFRREUFMTQoUN58803c3V99x3FbN68mZiYGOt87chIbRkrX19fm3K+vr5czmbe4uTJk5k0adL9NqNImZOS0OU0eE++Cab0EQIqRP2n9drau2Ra/N9//8Xd3R3/HH6I7Ny5Mz169GD+3Lna0PCUWG2zmCAmHID6zdqh09n+EsT+fQC9Xg9J0cTGxeNauQEqkJSkZWHv0KEDVatW1Qrr9FAqmD9+20e9Zm1JSU3D1cWZTau/oXq1Il6/+/o5+HcXoGhDue9MHGdK1YLpwlxFQG8HFZtoW+spEHIYVnSEiwfg4kEIzuSPiKrCkYXa47oDS1bSRINDUbdAlECW5GQiJ04kdstWAPTe3pQZORKPTh1RdDocF8zncp8+pP77HyEDB1HhfysxlCqVb/WrqkrE2A8xhoRoXyclEfnppwTOm5dvdQghhBDiNjM6zDlMu5bTcunWrFnD8OHDWbBgAc899xyLFy+mdevWnD17lvLly2cof/HiRdq0acOgQYNYuXIlv/76K4MHD8bHx4euXbsCcPjwYXr06MHHH39M586d2bRpE927d+eXX37hmWeeyXG9I0aMYO/evaxcuZKgoCB27drF4MGDCQgIoGPHjjm+xvsO3pcuXUrr1q0JuKsn5O5h5KqqZju0fMyYMYwceXud6Li4OAIDA3PcDsXJiUdPHM9x+buZoqLQubmhs88mYZmqahm0U26iJlzFmKjHnKbDdP06Bg8PFLt7BFkWC8RpAbSWdEzRerij/tOCTIeM+QDu9brdrWO71mzauJGDXZ6n4dNP3PGMovWIAmuWzqVatara16oKqgm9WxksRiOmNANuLi4c/7//w6zTsX//fqZOncqiRYtsK1IUHn3qOX4/+hsxYefYsHUn/Qa9yX5fD6o/0zRnQVx8JGwdqt24qNhYmw+e3fJnOZHe6161bcaM7waHog0udToIek5biu7oV7Bvspah/u7vb8hhLYO7wVFbsk6IB1haSAihbw8l9dw50Osp3b8f3m++id719k02vYcHgUuWcOmlXqRduEDom4Mpv+xrdFnkCcmtm9+uJH7XLrCzw3/iRCImTCBhz0/E//QTbs2a5UsdQgghhLitIHveZ8yYwYABAxg4UJtGO2vWLH788UcWLlzI5MmTM5RftGgR5cuXZ9asWQBUq1aNY8eOMW3aNGvwPmvWLFq0aMGYMWMALXbdv38/s2bNYvXq1Tmu9/Dhw/Tr148mTZoA8Nprr7F48WKOHTuWq+D9vsa4Xr58mT179lgbCLfndaf3wKe7du1aht74Ozk4OFgzl6dvuaEoCjpn5/ve7AMDMXh6Zl/OxQWdRyl0vhXRl62Bg7cjehcHMJtJC7mMqqrZNzLxGliMWtDs4KENWbd304apR53XesjT3RpSXyWoLLGxsUSEXMj+3GYjAIs/HsFLnVrSuvdb7D/yu5YsrfQj4P8Y+GhzRQOr16HSkw2o9PgzVHriWR554jlMZhfSrqdiMarodDrKOzvz6KOP8vrrr9O3b1969MiYLM3e3p5K1WtRp3lXJn82mcerV2H2wq+09cWTorJvrzEZVr+kZSI/sxG2DYM5T8CsWrBlCPy1TbuxkBsJ17R120EbGl9cNRgJenttOP3F/Rmf/+3WjZLHumvLFwrxgIrfu5eLXbuReu4cei8vyn/9Nb7vvmsTuKez8/en/JdL0Lm7k/z774SNegfVZMpzG5JPn+bq1KkA+I4ejWfXLni9+ioAkR9/gjkhMc91iOyZbt7kxuIlpF64x/ucEEKIB4YFXa420Dp379zunHKdLi0tjePHj9tM4QZo2bIlhw4dyrQthw8fzlC+VatWHDt2DKPRmG2Z9HPmtN4GDRqwdetWwsLCUFWVvXv38s8//9CqVaucvGxW9xW8L1u2jDJlytC27e3EPsHBwfj5+bF7927rvrS0NPbv30/9+vXvp5riydEdpcyj2HtogxYsySmYwi5lHXCajdrcawD3gNtzgktX1AJ5VIi+qM0lB7h5GW6co1vT2tjb2zHl4/Far73FYnPamJgYbZ567BUAFJ2OxfPn0Ld3L9r0HcLek/9hjE8lLTQM082bADY3GSwpKaRdvIgxIgLVYkG5NfLAkpCA6cYNQBvecerUKTZt2pT5tSkKuPmi2jmTalK1Gw8xIZB4I/PyFgtsfhPCT2hz0hu+cyuxmUE77uS3sKYPbHkLzLn4cH50KZhTtTXbA5/J+XGFzaMs1H5Fe7z3M9ufmZgr2vx4gGfeyHisEA8A1Wzm+pw5hL45GEt8PE5PPEHwxg24PJN9NnmHypUJXLgAxcGBhJ9/5tq06XlqhzkmhrDhI8BoxK1VK0r16Q2A95tvYFeuHKbISG7MnZunOkT2VLOZsOEjuD5zJpd69CTp6NGibpIQQohCYLTocrUBBAYG4uHhYd0y60W/ceMGZrM50yncd3cup4uMjMy0vMlk4sateCirMunnzGm9c+bMoXr16pQrVw57e3teeOEFFixYQIMGDXLyslnleti8xWJh2bJl9OvXD8Mdy6UpisLw4cP57LPPqFy5MpUrV+azzz7D2dmZXr165baa4s3ggM6vCnbqBYw3UzHFJKKmnkPv7Y/OzQ3lzqRdCZFaUGtwAqc75mrqdFA6SAtak29CUvStJ1RQ9AQGV2bmx2MZ8v4k4hISeLl7Z4Jq1CX0+k1WfPMNrg46po95/fZa4l6VUTz8WLD4S/T2jrRr1471c+bQ5JlnMF27BkDk778TYjaj2NlhiokBVaWUhweu5ctj8PGxDuM2Xb2KztkZd3d3Bg4cyIQJE+jUqROKovDBBx/QunVrAgMDiY+P57vvvmPf/gP88P334OIDidetNxRw8bZ93fZ/Dmc2aSMQeqzUhpIDpCZoy6z9tweOfgm//08bjdB16b2XVzMma8eAlvH9ftcsLywNRmjrzF/5Dc7/BJVuJZA7+qU2lSK4EfgWgyX3hMhnluRkQocNI/HAQQBK9e6N73ujrTcO78W5dm0CpkwhbNgwopcvx/mZp3F7PvfLPaoWC+Hvj8EYHo5dhfL4f/KxdYqSzskJvwnjuTLoNaK//Rb3Du1xKupVNB5QUV9+RdJvvwFgiY8nZMBAAqZPw71FiyJumRBCiIKkqjosOcwir94qd+XKFZvR2Q4OWU+Hze0U7szK370/J+e8V5k5c+Zw5MgRtm7dSoUKFThw4ACDBw/G39+f5s1znlA61z3ve/bsISQkhFdvDS+80+jRoxk+fDiDBw+mTp06hIWFsWvXruK/xvv90OkxBFTC4KbNvTQnm0i7coXUv/8mLTQUc1wcaloyJN4aRu5RNmNgqejAswK4+WuBL4B7OS1bunclBr87nl3bNhIWeZ3Orw6l6uNPMfDVfrjbq7zzqrYcn3W+/K0gV1EUZn/6Kf07d6brkCHs++MPa0b8Nq++SoW6dSn/xBNUbNKEis8/z84zZzB4eWk/XIqC/lYWe+OVK6gmE8OGDeOvv/5i3bp1AFy9epW+ffvy6KOP0qxZM3777Td++OEHWrRsqWVIT7+O2Cu2PfD//Aj7v9Aet591O3AHLZFclZbQZgp0/1Zb3/zv7fC/bpByj9UHTn2nDdX3KA/VOtzz21bk3P2hzgDt8d7JWu97WiIc/0bbJ73u4gFkSU0ldMjbJB44iOLoSMCUL/Ab92GOA/d07q1aUrrfywBEvD8GYxZ30rOiqio3Fi4kYd8+FHt7ys2ahf6u9yfXhg1xb9MGLBYiJ0xENZuzOJu4X0knT3L91sgGvwnjcW3WDDUtjbBhw7n53XdF3DohhBAFyYySqw3IMMU6s+Dd29sbvV6fqyncfn5+mZY3GAx4eXllWyb9nDmpNzk5mQ8++IAZM2bQvn17HnvsMYYMGUKPHj2YNm1aTl864D6C95YtW6KqKlWqZFxzV1EUJk6cSEREBCkpKezfv5+aNWvmtoqSQ1EwlK+IQzlfDI4qik5FtVgwx8SQFhJC6vkLWEyAg7s1yO7fv7/tGu2KAm5+4FEOVVXp1K377SBfUWjethM//LSf6It/kHz+MH/tXcfUDwbj71sGPAJp0q4Hqqpal44zJyaSFhrKtPffJ/bCBVq/9BKPNmyIxWzGlJBA2tWrpIaEYLx5E4vFQq8+fWzaZefvj+LggGoykRYaSmBgIEajke7dtfXGly5dyqVLl0hNTeXatWvs2bOHFi1aoJrNGG/cwGLvZRvAJ93Usr3vubWiQP2h8GSfrF/Tau2gz3otJ8Clg/BN++yH4R+erz1+9s2CWwIuvzUYro3ECDsG/+6G02u15ew8K0CVF4q6dULkq/SgLPHXX1GcnSm/9Cs8Otz/jTafUaNwrFEDc2wsYe/kfP57WmgoVwYM5MZcLbml74djccxilQzfMe+jc3Mj5c8/ublq9X23tThTVRXzne9FhcQcF0f4qHfAbMa9bVs8e/ak3OxZeL74onbDZOIkrs+dd+9cMkIIIUoki3o7ad29t5yf197entq1a9tM4QbYvXt3llO469Wrl6H8rl27qFOnjrZUdjZl0s+Zk3qNRiNGo1FbyvsOer0ey11To++lhEQ7xZeiKCiePuhc3DBEX8CSmoYlTYfZaEA1W0iNM2Cwd8aQy+zxNnQG8CyvDbuPDQVU8AzKsE68JTVVW/JIVdG7uWO4lUQQtDnxehcX9C6ZL01nLafXYx8YqN14SEjAdP06dmXKZHuMJS2NtMuXUVNTMUdF4VCpknafLPE6JERoow8safBoG2g+8d7XG9wI+m+DlV0h4nf4+gXoswFKVbAt999uiPpXuznyVN97n7e4cC0DTw+CQ3Ng76fazQ2AZ17XluMT4gGhmkyEjXpH6+l2cCBwwQKca9fO0zl19vaUnTmDi527kHzsONfnz6fMsGFZt8FsJvrbb7k+ew5qcjKKgwM+w4drwWIWDD4+lBk1ksiJk7j6xRfEbNiAfVAQ9sFBOAQHY1/xERxrVL//v+nFwI35C7gxbx5+kyZRqkf3QqlTVVUiJ07UpiyUK4ffxAnaa2gw4PfRJAw+3txYsJAb8+eT/MdpbTqX2YJqMYNZ+3Dj/OwzeLRtm/NlWoUQQhQrllwMm89puXQjR46kb9++1KlTh3r16rFkyRJCQkKs67aPGTOGsLAwVqxYAcAbb7zBvHnzGDlyJIMGDeLw4cMsXbrUmkUeYNiwYTRq1IgvvviCjh07smXLFvbs2cMvv/yS43rd3d1p3Lgx7777Lk5OTlSoUIH9+/ezYsUKZsyYkatrlOA9v9g5ovhUQX/zMnpDHAaLGWPSrSXlbkRhSUnFvmzZey8rh/Zh05KQgCU5GX2pUujSh4Y4uEGZatpQ67vnVZhMWgBtNqNzcsKuXNn7/mCpc3TELsAfY1gYpmvX0Dk4oHN3z/R8lqQk0kJCrL1fqsmE8epV7APKAgrEXtXm/HtVgS5f5jw4DXgSXvkBvu2sBehzn4LKLeGJXlC5FRjs4dCthFK1+2W63F6x9twwLdFexO/a13Yu2Y9IEKKQmOPjCRsxEnN8HPblK2BfIX0rj6FMGczR0ZiuX8d044b2//UbGLy9cKlfH8eaNVH02u+4ajYT/t77xO/ejWJnR7l583B5Nn8SStqXL4/fR5MIH/UOUYsW4/L007jUq5ehXMq5f4gYN46U06cBcH76afw/moR9UNA96/Ds3p2EfftJ2LeP1L//JvXvv22ed2/bloBpU0tkAG+OjSX6668BuPrppzg98TiOjz5a4PXGbtxI3M7vwWCg7PRpNlMWFEXBZ+hQDD4+RH70sTU3wt3iduzg2hdT8OjYEc8e3XHMZBRgQTJFR6N3c8vRe3lmko4fJ2b9BtyaN8O1SRPr74sQQjwsLChYyOFScTksl65Hjx5ERUXx0UcfERERQc2aNdm5cycVKmgdgBEREYSEhFjLBwcHs3PnTkaMGMH8+fMJCAhgzpw51mXiAOrXr893333Hhx9+yLhx43jkkUdYs2aNdY33nNQL8N133zFmzBh69+5NdHQ0FSpU4NNPP7UG+DmlqMVsbFpcXBweHh7ExsZmWDYuJSWFixcvEhwcjKPjPRKZFRVVhfhwSLiGqugw25fFePUaWCwoegN25cqic3EBRbH50GcxGrHExWGOj8eSmGjNRK7o9diVL59tj7lqsZB26RKWpCQUOzscKla87w8Wd0oLDbUOq9Q5OWHw8dES8t1qtzk2lrTQUFBVdI6OGHx8SLuiJauzDw5G7+xMSnQoFy9cJLhCII5l7mMt95grsHGQtgZ6OqfS2vDyU6u0UQnDToFHubxebuHbMxF+mak9rjsI2uZuzosQBSFiwkRi1qy5r2N1Hh641KuHy3P1ST52nNgtW8BgoNycObg1zX1yuXuJGDeOmHXr0ft4U3HTJtDrST5xgqTjJ0g+fpzkP/8EsxmdqytlRr+LZ7dutglF70FVVYwhIaRevEjaxUukXbhA2sWLJP3+O5hMBEybhke7tvc8T3FzY9Eirs+abf3a/pFHCF6/Dp2TU4HVmXrhAhe7dkNNTsZn1Ei8Bw3KsmzSiRMkHjmCojeg6HWg06PodZjjE4jdulUbYXaLU+3alO7bF/cXcrfUTm6YExKJ//EHYjdtJunYMRyqVSNw8aJ7jkq7m+nmTS60bYc5WktQa1e2LKV69cKzW1f0Hh4F0fRMZfc5q6RLv7ZmlYZj0Ged0Cq/RD2bu5+BvCr9+81Cq0sXW3jLZaopGZf9KtD6CnEpUKWQRwmpvl6FUo/JnMrPZ6fm6u9I+u9nr597Ye+as5w3aQlprGq66oH8e3W/JHgvKGmJoOjBzhFLSgrG0FAsKSm2ZRRF+yCpKBnmbSr2DiiKNhQeRcG+XLlM39zNiYkYw8JR01JRdHrsKwajy6fXRrVYMF29hik6Wus9B2uQbklLw3RVWwJP7+aGXblyKHo9aWHhmG9Go9g74FDpEVLT0vLne3btby1YP7UGEiJRVbAYFfS1u0HXr/LjcgtfUjTMfgKMiTD4CHhXLuoWiYdc0tGjXO6rJYQr8/57qGlG0kIuY7x0mbSQEEw3bqAvXRqDjw8Gb2/tfy8v0i5dIvHIESzx8bYn1OspO2MG7q1aZlJb3lmSk7nUvTup//6Hzt0dS1zGBJeuzZrhN34cdlkkq7kf1+fP58bceeg9PKi4YzsGb+97H1RMWFJS+K9pM8zR0fh+MIaoL7/CdP06nt274//RpHyvz3T9OjGbN3Nz1WpMERG41K9H4Fdf5eomyp1Ui4WkI0e4+d0a4n/6CW4lFPR68w18hg7Nt5EQ6fXEbN5M/K7dqHe9f9uVK0f5r77M0SiOdGGjRxO3dRsGPz/U5GTMsbEAKI6OeLRvT6k+fXB8tOBHEkjwnn8keM8fErznn5IQvPf8qU+ugvfvmq18IP9e3S8ZNl9Q7G/3lOscHbGvWBFTZKS25nr6/RJVtclkrHNyRufuht7dHZ2DA6rFgvFW5vq0K1ewS0tD7+2NoiioZjOmq1e1wBpQDAbsAgPzLXAHbZ68nb8fBh9vTDduYI6O1taHv9W7DmDw8sLg52f9wGTn54slPg41LRXT9euQX70JZapCi4+g6Xgs53YR9sHHJPwdg3u8gTLPhmFXtmz+1FOYnEvDoJ8gLUECd1HkLKmpRIwbD4Dniy/i1b9/hjLZLbeimkwk//EHib8eIvHXX0m7eBHfcR8WWOAO2oigsjNmcPHF7tbA3f6RR3B+6imc69TGqXYd7Mvl/98G79deI37PT6T+9ReRkz6i7JzZJWb4fOzmzZijo7ELCKDUSy/hULkyIa8OIGbtWlzq18+XHmzVZCLh4EFiNmwgYe8+a4Bt8PPD//PP7ztwB+19yaV+fVzq18d49RrR33xD9NdfE7VwEZhM+IwcmS/fi4gxH2gjR26xDw7Go1MnnOvW0ZYaDAnhUq/eBC5ejFOteyfmTThwgLit20BRKDd7Fg5VqhC3YwfR364k9dw5YtatI2bjRirv31eibgYJIURuWdCS0eW0rLAlwXshUXQ67AICtCRyqqoF7haL9thiQTEYMgx1V3Q67AIDUSIjMUVFYbx6FYvRiN7VFWNEBKrRCIC+VCnsfH1RDAXz7VQMBuz8/DB4e2OKisIcFY1qMWPn74/By/YOn6LXY+fvT9qVK5hu3EDN5xESqtlC2NztJPwdA0Dc7v3E7z9M6X798Hr9NfSurvlaX4GToF0UEzcWLiTt0iX0Pt6UefedTMtku06qwYDzk0/i/OST+Ax5q6CamYFD5coErV2DMTQMpyefwFCqVIHXqdjZEfDZp1x8sTvxu3cT/8MPuLduXeD15pVqNhP19TIASvfvj2Jnh0u9engNGkTUkiVEjB+PU62aeboZmnjoEOFjPrCOzAJweuIJPLt1xe2F1uhds0+amht2vmXwHf0udn5+XP3sM6K+/ArVaKLMe6PzFMAnnz6tBe46HZ7dX8Szc2ccH3vMes6gVf/jymuvk3L2LCH9+lF27hxcn3suy/OZExKJmDARgNIvv4zT448D4NmtGx5du5J87BjRK/8HOkUCdyHEA0/NxZx3VYL3DCR4L2R39jjk5MdRURRt+TY7O4yRkZijo63z5RR7e+wCAgotYFUMBux8fTF4e6NaLOiymFevc3dH7+aGOT4e07Vrt0ca5JFqNBI2ahQJe/eiODjg+8EHxO3cSdJvvxH15ZfEbNiAz9ChuDZqiPHqVW3I/7WrGCOvgtmE95tvWtexzy+W1NTbCQWFKKFSzp0j6qulAPiNG4e+hA1Nc6xSpdATlzlWq4b3a69xY8ECIj/6GOdnnsFQunShtiG34nftwhgSgt7TE89ut5Px+Lw9hMTfjpBy6jRh746mwopv7utmcOL//R9X3hyMmpqKvlQpLalct644VKqUn5eRQemX+6LYGYic9BHRy5ejGo34fjj2vgP467PnAODRsSP+EydmeN7g7U35Fd8Q+vbbJB0+wpU33iTg88l4tM08/8H1mTMxRURgV64cPsOG2jynKArOdeviXLeudkNfCCEecOnLwOW0rLAlwXsJYfD2RrG314asqyoGL28MvmXyNPzwfil6fbYZchVFweDvjyUxEUtyMpa0tDzXqZpMhL07mvjde1Ds7Sk3fz6uDZ7Ds/uLJOzdx7UpU0i7dInITD5oWc+hqvh98EGe25LuxuIlXJ81C/9PPsGza5d8O68QhUk1m4n4cByYTLi1aI57y4Ib5v6g8X7jdeL37CH1n3+I/Phjys2cWdRNypKqqtYbNKV697ZZak2xs6Ps9Olc7NSZ5BMniJw0Cc+ePXGsWjXH2dCTf/+d0DfeRE1NxbVxY8rOmV2oNzZLvfQSGAxEjp/Azf/9D9Vkwm/C+Fy/RyYdPUrir7+CwYD3W4OzLKd3dSVw8WLC33uP+O9/IHzUOyT8vBefEcOxL3c7gWrSiRPcXLUKAP+PJmW7xF1RvJ8LIURhK8il4h4G8oqUIHp3dxwqV8ahcmXs/P2K9Ru9zt4eQxktQZQ5Lo64H3+87yDeuuTUDz9oS07NnYNrA22IoqIouDV9norbtuL74YfovbzAzg67gACcnnwStxdewL1DewBiN27CnE9JSmK37+D6zJmgqlyfOxc1H25QCFEUbq5cScoff6BzdcX3w3FF3ZwSRbG3x3/yZ6DXE//9D8T9uKuom5SlpCNHSDlzBsXRkVJ9emd43r5cOfxu3fyMWbeeS1278c8zzxLy+uvc+PJLkk+dyrJnOOXsWUIGvYYlKQnnes8WeuCertSLL+L/2WegKMSsWcO/DRtxqXcfwsd8wI1Fi4jbudMmZ8vdVFXl2mwtC79nt642QXhmdPb2lJ0+ndL9+gHaMnbnW7ch8rPPMEVHa3kkPhwHqopH1y641K+ffxcrhBAlVHrPe043YUt63ksYnX3OsjMWB3qv0uiio7UAd9ZsYqZNo3SfvpTq2SPHy+KoZjMRH3xA3I4dYGdH2dmzcW3cOEM5xc6O0n16U6p3L1BVmxsbqsVCyuk/SLt0idgtmyndO+MH19xIOnGSiPQefJ0OU2Qksdt34Nmlc57OK0RhUY1GTDdvYgwN5dqtJcPKvPsudr6Fmzn5QeBUowZerw0iauEiIj/6CMdqVbEvX76om5VB1JfaqhyeXbtmmRfAo11bUC3Ebt9O8vETWBISSNx/gMT9B7iOtrSZR5fOeHbujF1AAACp//1HyICBWOLjcXrqKQLnzy/SqUSenTuhGPREfDgOc1QUyVFRJB8/fruATkfAF1/g0b5dhmMTDx0i+dhxFHt7vHO47q6i0+E75n08Onbg2rTpJB46xM0V3xK7YSOOj9Ui7cIF9D7e+I4enV+XKIQQJVpBrvP+MCi+XbcPEOXWmu5Zbf1vZXVWFIXNmzfbHLt3717atGmDl5cXzs7OVK9enVGjRhEWFgbAvn37UBSFmFvrsQOEh4dTs2ZNGjRoQExMDJcuXcqy7iNHjgCwfPlym/2+vr60b9+eM2fOZHldkydPRlEUhg8fnuV125UN0ObAe3tjvn6D6zNn8t/zTbk6eTLGq9eyfd1Ui4WIceOJ3bIVDAbKzph+z7WilfTl9+7cp9NRqk8fAG7+b1We5hWmhYYSOmQIaloars2a4XPr2qO++krmK4oCpVospIWGEv/zz9xYtIiwkSO52KUr4R9+SOqFi9keF//TT4QMeo3/WrXiXN2n+bvWY/zXqDGXe/VGTU7GuU4dPF/sVohX82DxfvNNHKpUwRwVxaUePUk6cSLX5zBeu0b4e+9xbdYsTDdu5Gv7Us6eJfHQIdDrKf3KK9mW9WjfnvKLF1PltyMEbViP75j3cW3eDJ2rK8awMG7Mncd/zZoTMmAgN9eu5fIrr2C+eRPHmjUJXLwo22HhhcWjfXsq//orQevWETB9Gj7DhuLRqRMO1auBxUL4++9ry8zdQVVV61z3Ui/1xM7PL1d1OlavTvmvlxK49CscqlfDkphI0mHt/dVv3LhCXcddCCGKM+l5zxvpeS8EERER1sdr1qxh/PjxnDt3zrrPyckp0+MWL17M4MGD6devHxs2bCAoKIiQkBBWrFjB9OnTmTFjRoZjzp8/T4sWLahatSrr16/H2dnZGtjv2bOHGjVq2JT3uiNbvLu7O+fOnUNVVcLCwhg9ejRt27bln3/+wf6uHv+jR4+yZMkSHnvssWyvXdHr0bu6UmHpV6T+9DPRX39N6r//Ev3NCmK3bqPsrFm4PPN0huNUi4XIiZOI3bhRWyt62jTcW7TItq7seHTqxPWZM0m7cIHEQ4etw+5zwxwfz5U33sAcHY1D9WqUnToF1WIh6ssvSbtwgYS9e3Fr1uy+2yhEZlSzmWtTpxGzbh2WxIzTPlLOniV2w0bcmjfH67VBONWqBWjJFGO3biX662WkXcwkuNfp0Ht64lCpEv6fflKsp+EUdzp7ewK/+pLQwW+R8uefhPR/Bf/Jn2WZwOxuKef+4cobb2C69V4R/fUyPLp2wWvAgHsO3c6J9Lnu7q1b53jpPEWvx6lGDZxq1KB0v35YkpOJ372bmA0bSfrtNxJ//VWbGw44VKlC+a++RO/mlue25he9qwtOtWraLOOmWixEjBlD7JathA0fQeDiRdah7Al795Fy+jSKkxNegwbdd72uzz2HS716xO38nuivv8apTm3JI1EETN6uYMjf1W4yU5jrrgNETTbfu1A+8RlQeNMB1fiEQqsLwFKI68obfH0KrS4AVV9Ywe791yMJ6/KmxAfvqqpiSiuaHk+DvS5H2Wz97riD7+HhgaIoNvsyExoaytChQxk6dCgz70iCFBQURKNGjWx62tOdPn2aVq1a0aRJE1asWIHdXdngvby8sq33znb5+/szYsQIOnTowLlz56h1KyAASEhIoHfv3nz55Zd88skn2V6H9dz29nh27oRHp44kHjzItekzSD13jpBXX8V3zBhK9e5lfS1VVeXqJ58Qs3atdYhjXtce1ru64NGlCze//ZabK1fmOnhXTSbCho8g7b/zGMqUIXDhQmsPU6mXXiJqyRJuLFmCa9OmJWa9Z1H8WdLSCH/nXeJ33ZpLbWeHQ8WKOFSpgkOVytiXLUvs9h0k/PyztmTZ7t0413sW5yef5Oa6dZivaz24Ojc3SvXsiWuTxuhLlUZfyhO9u3uOk5GJe7MrU4YKK74hbPRoEvb8RPiodzBeuYLX669n+zch4eAvhA0fjiUxEfugIHQe7qScOk3M6u+IWbsO99at8Ro0EMdHH72vdiUeOULcDz8A4DVwwH2dA0Dn5IRHhw54dOhA2pUrxG7aROyWreg9PAhcsjjfV/IoCIpOh/+nn2JJSiJ+9x6uvDWE8kuX4vTE41yfo/W6l+7TJ8/LtSk6HR7t2mrTEIQQQtiQ4D1vSnzwbkqzsGTY/iKp+7XZjbFzKJgPv+vWrSMtLY3RWcyT87zrg9KhQ4fo3bs3vXr1Yu7cuejy2IsWExPDqlsZcu++CfDWW2/Rtm1bmjdvnuPgPZ2iKLg2aoRz3bpEfDiOuB07uPrJJ6ScPatlBra35+rkydxctRoUhYDJn+XbB6BSvV7i5rffkrB/P2mXL2NfocI9j1FVldR//iHqy69I/PVXFCcnyi1cgJ2vr7VM6Zf7Er18OSmnTpN09CguT2ccSSCKN9VkIfVCLKmXYlF0CoqjAZ2DXvvfUY/BxwmDZ8H34tzJnJBI6JAhJB05gmJnh//kybi3aoly1++je5s2pP77L1FffUXs9h0kHT5iHa5r8POjdL9+eL74Yr6ury0yp3N2ptzs2VybNp3oZcu4Pms2aZcu4//RJJRM8pXcXLOWyI8+ArMZ57p1KTd3DjoPD5L+7yhRX35J4i+/ELd9O3Hbt+PZswdlRo3KVe92yt9/EzrkbbBYcO/QHseqVfPlOu0DA/EZOhSfoUPvXbiYUQwGAqZPJ/TNwST++itXXn+d0n37kPr33+hcXfEa8GpRN1EIIR5oErznTYkP3h9U//77L+7u7vj7++eofOfOnenRowfz58/Pskz9+vUzBPWxsbHob/W+xcbG4urqiqqqJCUlAdChQweq3vGB77vvvuPEiRMcPXo0t5dkQ+fkRMC0qTjWqMG1adOI3biR1P/+w6lmDS1wB/w/+RiPjh3zVM+dHIKDcWnUkMQDB7m5ahW+Y8ZkWk41mUg6dpz4n38i4aefMd7KL4CiUHbqFJzumnpg8PbGo2sXYlZ/R9SXX0nwXkKYE9JIOXeTlL+iSPknBjUtm+GIOnB52h/35uXRuxZ80khTVBRXXnudlDNntIBwwXxcnn02y/IOlSsT8MUX+AwdStTyb0i7fAmPtm1xb90606BRFBxFr8f3vdHYVyhP5MefELt5M3G7duFYrRqO1atrW43qxG7ZQvTSr4Fb64l//JH1e+XyzNO4PPM0KWfPcmPJl8T/8AMx360hYe8+/CaMx61p03u2wxgWxpVBr2FJSMC5bl38P/64QK+7JNHZ21Nu7hxCBr1G8vHj3FiwEIDS/fuXiBEEQghRkqnkPBGdWrBNKZFKfPBusNfx2uyM2ccLq+6CoqpqroZfd+zYkU2bNnHw4EEaNmyYaZk1a9ZQrVo1m336O4bNurm5ceLECUwmE/v372fq1KksWrTI+vyVK1cYNmwYu3btwtEx772QiqLg9eorOFSpQtioUaScPk3K6dMA+E2ahGfXrnmu426l+/Yl8cBBYjZsxGfoUHQut3sjVVXl5rcruT5/PpbY2NvtdHDApX59PHt0x61Jk0zP6/Xqq8SsWUviwYOk/PUXjne9zqL4sKSZubnmHMlno2zeFXRu9jhWKYWiV7CkmlFTTFhSzFiSjZiuJZN4JIKkk9dwb1oe1+cCUAwF8/ufFhrGlYEDSbt0CX2pUgQuWWIzbzc7dmXL4jf2gwJpl8idUj17Yle2LOGj38N88ybJx4/bZj2/xXvo23i/+Wamf+8dq1en3KyZJB7pScSE8RgvhxA6+C3cXngBv7EfYPDJfC6lOSaGkNdex3T9Og6VK1Fu/rwizQBfHOmcnQlctJCQ/q+QcuYMeg8PSvd7uaibJYQQDzzpec+bEh+8K4pSYEPXi1KVKlWIjY0lIiIiR73vixcv5r333qN169bs2LGDxpkspxYYGEilSpWyPIdOp7M+X7VqVSIjI+nRowcHDhwA4Pjx41y7do3atWtbjzGbzRw4cIB58+aRmppqczMgp1wbPEfwurWEDnmb1H//xXfsWEr16J7r8+SEy3PPYV+hAmmXLxOzZQule/UCtLXoI8Z+SPzu3QDoS5XCtUkT3Jo1xaV+/XtmULYPDMT9hReI27mTqK+WUnb6tAJpv8gbS5qZG8vPkHZBuzlj5+eMYw1vnKqVxi7AFUWX+ZtEyvkYYndcwBieSOz3F0n4LQKPF4JwquWdLzkOVKOR5N9/J+HgL8Rs2oj5+g0MAf6UX7oUh+DgPJ9fFA3Xhg2p/MtB0i5cIOXsWZLPnCHl7FlSz/4Fej1+48fh0b79Pc/j8uwzVNyyhRvzFxD19dfE//ADiYcO4fXqq7g+3wSHKlWsP4eWlBSuDH6LtPPnMfj5Efjll+jd3Qv4SksmvZsbgV99yfU5c3Br0qRYJdwTQogHlQTveVPig/cHVbdu3Xj//feZMmWKTcK6dDExMTbz3hVFYfHixej1etq0acOOHTtokkUvcU6NGDGCGTNmsGnTJjp37kyzZs34448/bMq88sorVK1alffee+++Avd09uXLE7xxA6boaOzKFNxa0+nLxl399FNurvwfpV56iZSzZwkbPgLjlStgZ4fvu+9qCfRyeT1egwYSt3Mncd9/j8/wYdgHBmK8epWEvXuJ//lnUk6dxqF6NdxatMCtWXNZU7uQWdLMRH2jBe6qMZmkw7NxrFIGr34zMJTK/kO74yOeOAx5kqST14j98RLm6BSiV/2NwdsJl7q+OD/li94td8PTTTdvEr97N4kHfyHx8GEsCbez7dpXeoTyS5fa5FYQJZOi1+NQuTIOlStbpwGpFgtYLCiGnL8F6xwdKTNqJO5tWhMx9kNSzp7l+qxZXJ81C4OvLy4NG+DasBFx27eRfOIEOjc3ApcszvWSZw8bQ6lS+E+YUNTNEEKIh4YE73kjwXsxFRgYyMyZMxkyZAhxcXG8/PLLBAUFERoayooVK3B1dWX69Ok2xyiKwoIFC9Dr9bRt25Zt27bR9I65kVFRUURGRtoc4+npmeUQeHd3dwYOHMiECRPo1KkTbm5u1KxpO3zXxcUFLy+vDPvvh2IwFGjgns6j8+1l4yLHTyB282ZUoxG7smUpO2umdamt3HKsVg2Xhg1JPHiQ8NHvoaalkXLmjE2Z9GRiVz/6GKcnnsCtRQvc27WVIK2AqUYzUSvOkno+FtWYQtKh2ajJ4SQducClF7tTbv68e2bzVnQKLrV9carlTcKBUOIPhGG6kUzs95eI/fESjlW9cHnaD8fKpbQ6zRYwWVDNKqgqOjd7FEVBVVXitm8n8pNPbaZn6EuVwqVBA1wbPIdbixbFYr1sUTAUnQ7uM6moY7VqBK1dQ+zmzcTv3kPib79hunqV2PUbiF2/QTu/nZ32M12lSn42WwghhMgzCd7zRoL3Ymzw4MFUqVKFadOm0blzZ5KTkwkKCqJdu3aMHDky02MURWHevHno9XratWvH1q1brUPhmzdvnqH86tWr6dmzZ5ZtGDZsGHPmzGHdunV0714wQ9kLm97VVVs2buVKYtatA8C1eTMCPv0UvYdHns7tNWggiQcPknzypLZDUXB6/HFcmzbFuU5tkk+eJH7XbpJPnSL5999J/v13or76iopbt2Q5f1XkjWo0c2PFWVL/i0E1pZB8eDY+b/bA+dlnCX1rCMYrV7jU8yUCPv8c91b3Xo9ZZ6/HvXkFXBuWJfn0DRKPRpIWEk/K2ShSzkZleZzBxwmnmm7EbV1Ewk/a0l0OlSvh1ro1rg0b4VC1KmmX4km9EIvppgV7id1FFhSDAc9u3fDs1g1LaipJR4+RcGA/iQcOYgwPJ2DKFEmcKYQQolhSVQU1h0F5Tss9TBRVVYtVIr+4uDg8PDyIjY3F/a55eikpKVy8eJHg4OB8SZgmCl5x/Z6lXrzIxQ4dUVUV33ffodTLL+fP3GVV5fqMmaRduoRr40a4NmmS6ZrBxqtXid+zh+hlyzGGhuL99hB83norz/ULW6rRwo1vz5L6z81bgfscSvdth/cbrwNaYq+wkSNJPHQYAO/Bb+I9ZIjWM5oLxquJJB69StKJq1iSTBkLKFiT46mmVIxhR3F91g/vQb1IvZRA8pkoUv6Ksh6r97DHd1QddPYPXj4PUbBUiyXXP7/i4ZLd56ySLv3aGj/7IQZDwX/m0MenFHgdd4qanM2qKPnMZ0BcodVliYsvtLoALCmphVaXISiw0OoCsLg5FUo9JnMqP/8xJVd/R9J/P+tteRuDS86SqJoSUzncce4D+ffqfknPu3goOQQHE7RhPTpHR+zLl8+38yqKQplRmY+KuJOdry+le/dG7+lJ+Kh3uPndd3gPGiTLeuWjtCvxRK//B9PVJFRTKsmH5+LZtak1cAfQe3oSuGQJ16ZOI/qbb7ixYCEpZ/8iYMoXuUryZefrgme7ini0DtICcB2Y42Ixhlwk9dIlEvf/SuqFVOwqNkHvXhb7Cg1Ii4Dwz46ByWI9j87FACqYY9NIOBCKe/MK+fqaiAefBO6ipJo8eTIbN27k77//xsnJifr16/PFF1/w6D2mNAkhShYZNp83EryLh1ZxmA/q3rIl13x8MF2/Ttyu3Xi0a1vUTSpQliQjMdsvYIpOQedoQHHQo3PUo3M0oC/tiMtTvih2eQs+VKOZ2O8vkHAoAlCwpMaR8n9LcG/zLD4jhmcorxgM+I55H4eqVYmcMIGEffu42O1Fys2dc8958Db1WixEL19O/K5dpF68iCXurl4LgwH3drVwb9WCxKPXSP4zCkwW9B72ONXwxqmmF/YVPEg+c4PoVX8Tvz8U57p+GDxkiS8hxINv//79vPXWW9StWxeTycTYsWNp2bIlZ8+exeWOZV2FECWb2aJDseTss545h+UeJhK8C1GEFDs7PF/qyY05c7n57bcPdPBuSTFx/es/MYYmZFkm9XwMpV+qmu0UBkuSkeQzUejc7TGUdsRQyhHFoMMcE0PM5v0knTGg6N0BBeOVI6T+sRaPji/gO+b9bM/r2bkTDpUrEzZ0KMaQEC716In/xx/laCkvc1wc4aPfI2Hfvts7FQW7gADsK1bEoWIwHp0741i1KgCOlb0wx6dhSTJiKONs0y6nWt7YB7mTdimOuB8uUbqH9DoJIR58P/zwg83Xy5Yto0yZMhw/fpxGjRoVUauEEPlN5rznjQTvQhSxUt27E7VwkZbE7o8/7jvb/f1IuxJP7O7LGMPiMXg7Y+fnjJ2fC3a+Ltj5OaNztsuXeiypZm4sO4MxNAGdswGPthXBomJJMWNJMaEmm0j4LYLk0zdIKBeGW6NymZ8nycj1JX9gjEy8vVMBnZsB45X/0LmXR9HrsCTHYAr9Hufa5SgzdD7OT9fNUU4Dp5o1CNqwnvBR75B46BDh744m+dRpfEe/m+WUhtT//iP0rSGkXb6MYm9PmXdG4fzMM9hXqIAumzwPejf7TJeXUxQFz3YVuTb/d5JOXsOlnj8O5WWelxDi4RJ7azWO0qVLZ1kmNTWV1NTb85fj7h7xJIQodtRcDJuX4D0jCd6FKGIGb2/c27QmdstWbq5cidMXX+TpfKqqkvpfDMZrSTiUd8eurCuKzvaPnzEykdhdl22yo6clxpF22faDj2ujsni2qZin9ljXV78ch+JowHtALezLumYoZ/BxImbLeWK/v4hdgAuOlUplOM+N5WcwRiaiczagd7fHFJWCarRgiTOh9wgCQOcSTeleVXCqNf++khAaSpUi8MslXJ87l6hFi7m5ciVJR4/i/kIrXBo0xLFGdeu84rhdu4h4fwyWpCQMAf6UmzMXp5o1cv8i3cW+nBvOT/mSdPwqsdsv4PPm4/mSUFEIIUoCVVUZOXIkDRo0yHYp2smTJzNp0qRCbJkQIq9UIKfp0otVVvViQoJ3IYqBUn36ELtlK7E7v6fMu+9mmqE+J9LCE4jdeZHU/2Ks+xRHPQ7BHjg84ol9gIuWFf33a9pfRAWcnyyDy9N+mGNSMUYmYYxMxBiZiDkmlYQDYThVLY1DRc/7ao9qtBD17VlSL8SiOOjxGVAz08AdwOVZf9JCE0g6fpXoVX9T5u0nMZTSeq5Vk3aetJB4FCcDPq89hp2fC6qqErVkBdHfrEdXqiz+40fi8kzD+2rrnRS9njLDh+NUqxbh771P6rlzXD93juuz52jrsT/3HDo3V2JWfweA8zPPUHbmDAzZ9BDllkerCiT/cZ20kHiST13H+Yky+XZuIYQozoYMGcLp06f55Zdfsi03ZswYm6Vz4+LiCAws3OzeQojcsaCgkMOEdTks9zCR4F2IYsCpVi2cHn+c5FOnuLl2LT6DB+fqeHNcKrG7LpN0/KoWlOsVHII9SAuNR00xk/JXNCl/Rd9VpzfuLSpgVybzBcVvbvqXxN8iubnlPL5Dn0TR5y5piGqyEPW/v0j9NwbFXof3KzWwD3TLsryiKJTqVEm7eRCWQNTKvyjzxmOg1xG95pzNeez8tORFqf/8w41501GNRnyG98XlmfxNQujWrBmPfL+T+J9+IuGXX0g6fATzzZvEbd9uLVO6Xz/KvPsOiiF//5zq3R1waxJI3K7LxH5/EcfqXrJ0nBDigff222+zdetWDhw4QLlymU+hSufg4ICDgyT1FKIkkTnveSPBuxDFRKm+fUk+dYqY1d/hPXBgjpaNU80q8XtDiN8fimrUlhxzeswbjxeCMZR2RLWoGMMTSD0fQ8r5WIyh8dgHuuHeogL25bIOpAE8WgWR/McNTFeTSDgcgVuDsjm+FtVoIWrVX6T8HQ0GHV79auAQ5HHP4xQ7HV59q3Ft7kmMYQnc3PQf6BSS/7gBegWvvtWt878tqamEv/MuqtGIa9OmeL74Yo7blxsGHx9K9exJqZ49UY1Gkn//nYRffiXlj9N4dOlaoEkG3RqWJfH/Im+NgpCl44QQDy5VVXn77bfZtGkT+/btIzg4uKibJIQoABZVQZGl4u6bBO9CFBPuLVvketm4/2fvvMOrKLM//plb03vvIRBCEnov0ot0QRQbim11XcvC7tr256qrq2tH1wLYUUEEpIvSeyfUBEJ67+XeJDe3zvz+uHAhJoGE0J3P89wnMPeded+ZTGbe855zvqdmax76jbkAaCLc8ZzQroG4maAQ0IS5owlzx31I60IJFS5qPG6NovrndPQbcnDp6t+kwNrvEY1WKhbYQ+VRKfC7Px6nGK8W96vycsLn7k6Uf3kcQ1LpmRMB37vjcOpwLg++7P0PMKWlofT1Jfi1f1+VnHBBrcald29ceve+4n3Z+1PiOS7aUTrOKd4XTUjTaQcyMjIyNzJ/+ctfWLhwIStXrsTd3Z3i4mIAPD09cXZ2vsajk5GRuVxIUity3uWk90bIxfNkZK4TBI0Gr7umA1D1/fcXbW/VmajZmgeA58R2+P+5a7Oq5JIkYSkooG7vXqxVVS0ek2uvINRhbkgmG7pfsi7a3lZnoeyL4+dy3B9KwCnW+6L7/R6n9l44dbA5/m9K/hHdqvmYMjIAqNuzh8pvvwUg+D+vo/L1bXUfNwrOnf3QtvNEsoiUzTuGKbP6Wg9JRkZG5rLz2WefodPpGDp0KMHBwY7P4sWLr/XQZGRkLiNnw+Zb+pFpiGy8XwUEQbjgZ+bMmY52K1asaLDvli1bGDduHL6+vri4uBAfH8/f/vY3CgoKANi6dSuCIFBdXe3Yp7CwkMTERAYNGkR1dTXZ2dnN9r13714AvvnmmwbbAwMDmThxIsnJyQ3G88orrzQ6RlBQ0BW7dn80vKdPB7Wa+iNHqD9+/IJt9euykCwimigP3AaENPA8m3Nzqfz2Wwr/7//Imj6d0716kz5iJLkzHyR92HCK//0a5vz8Jo9rKSmh/LPPyJw4iazJkzAdWwRIGA6XUjZ/KbW7diGJYqP9rNUmyuYetZeDc1Xh/2jnSxa6Ew0Gqr7/N/VJ32BMmof59GaqFnxH5vgJ5Nz/AIXPPQ+A1/TpuA8dekl93CgIgj1dQBPlgWSyUfbVCepPlF/rYcnIyMhcViRJavJzdo4kIyNzcyAb721DNt6vAkVFRY7PnDlz8PDwaLDtww8/bHK/efPmMXLkSIKCgli2bBkpKSnMnTsXnU7He++91+Q+GRkZDBo0iIiICNavX4+Xl5fju40bNzbot6ioiJ49ezq+PzuuwsJC1q5dS11dHePHj8dsNjfoIyEhocExjl/EyJRpOSo/PzzHjQUg/6mnqdm0qcl2phw9hiNlIIDXhHYOw12SJCoXLiRz4iRK3vwvuqXLMB49hlhXB2o1qsBAJKORqoULyRhzKwV//wfGU6eQrFZqNm0i7/E/kz5sOGUffoQpLQ1TWjp121djzt4BgOGwmbxH/kTO3fc0WFywlBkom3sUa1k9Sk8N/o91vWhO/YUo/2wu1sIiBGs20T/PI/zz+bgNHw4KBYb9+7GWlqKJjCTwuWcvuY8bCYWzCv+HE3GK9wWrRMUPJ6ndX3SthyUjc0Nh1ZkwZVYjyXGYMjIyMtcM8Uyd95Z+ZBpyw+e8S5KE1WS6Jn2rtNoW5dme75n29PRskbc6Pz+fp59+mqeffpoPPvjAsT0qKorBgwc38LSf5dixY4wZM4ahQ4eyYMEC1Gp1g+99fX0v2O/54woODmbWrFlMmjSJ1NRUOnfu7GinUqlkb/sVxO/JJzEcSsKSn0/+X57EbeQIgv75T9TBwQBIokT1anv4uEvPQIeRbK2ooOjFf1K7bRsAzj164NqvH9oO7dF26IAmMhJUKgz79lHx+RfU7dqFfs0a9GvWoPD0RNTpHGNw6dULz2m3ow4IwFJaiqWwAlOuBaVnOJrYUdQnbyXviX/hessENNE9MOfXI5lsqPyc8Xs40VHi7VIwpadT8fXXAAT+3z9RurnidsstuN1yC5aiIqqXLKX+6FEC/vF3FC5NK+XfjAhqJb73dqJ6RTp1B4qp/jkdscaC+/BwuQa8TLNIkmSPhnFXo/K69L/LGx1LqX2BUTRY8ZrSHre+wa0+hiRKGI6WoVAr0Lb3QuF0w0+hZGRkZK46cs5727jh3zxWk4mPHph2Tfp++tulqJ2uzGRoyZIlmM1mnn22ac/i+R51gN27d3Pvvfdyzz338L///Q+Fom1BFdXV1SxcuBCg0SJAWloaISEhaLVa+vbtyxtvvEG7du3a1N8fAdFoRbKK9pJrSsH+U0Ejw0sTHk671aso/2wuFV99Re3GTWTu3oP/M0/jfe+9GI5WYMmvRdAq8RwTBUDt9u0UvvAitooKBI2GgL//He/77kVo4j5w7dcP1379MKakUPHFF+h//Q1Rp0Pp44PnlNvwun0a2naNVX5r9xZSvSIDbcLtaOOmgiAgiWDKqAVAHeKK30OJKN0uLmrXHJIkUfzv18BqxW3YMNyHD2/wvTo4GP+nn7rk49/oCEoBr6ntUbirqdmch35DDnX7ixG0CgS1EkGlQFArUHpocB8Wjtr/yi9uSBYRVMJFFxAkm0TN1jwULirc+odc8XHJgDmvBt26LLsGhbOKwKe6o/L54xnwNr2J8q9OIBqsAFSvzkAT4YEm2LXFx5AkCd2aTGp3F9o3KEAT7oFTrDdOsd6og12x6UxYK4xYy+vtnyojmlA33AaHyWUeZWRkZM5gN95bWiruCg/mBuSGN95vVtLS0vDw8CA4uGXegSlTpjB9+nQ++eSTZtsMGDCgkVGv0+lQKpWOf7u5uSFJEgaDAYBJkyYRFxfnaN+3b18WLFhAbGwsJSUlvP766wwYMIDk5GR8b2LRsLYgSRL6DTl2cbnfp4oLoPJ3xvPWaJzjz10/hbMzAbNn4TFhPMUvv0L94cOUvPlfKhYswqnHXxGUrmA5ScX8vVgrKtD9/DMA2g7tCXn3PZw6XrzeuVN8PKHvv4//7HwshYW4dOt2wfJ0rn2CqTtYgiW/FgQBhauAtfgU5uwj2Coz0UR4IM34DLh0412/ejWG/fsRnJwI/Oc/L/k4NzOCIOA5Ogqlq5rqNZnYdE1HHhmOluExLBz3oeEIqiuTIWWtNFI69ygKJxV+MxOaNQwlm0TlT6nUHy2zn4NagWsvOXrnSmEpM6D/LZv6ExWObVK9lYqFJwl4vOsVux+uR0SjlfKvk7FVm1D5OaP01mJKq6Zy4UkCnuyOQtsyo7pma77DcFf6OmGrMGLO0WPO0aPfkNPsfsaTldTtL8ZzfDTOXfzlKBkZGZk/PFe6zvunn37KO++8Q1FREQkJCcyZM4dbbrml2fbbtm1j9uzZJCcnExISwrPPPsvjjz/eoM2yZct46aWXyMjIICYmhv/85z9MmTKl1f2ePHmS5557jm3btiGKIgkJCfz0009ERES0+PxueONdpdXy9LdLr1nfVwpJklr1kp88eTLLly9nx44dzd6gixcvplOnTg22nTXcAdzd3UlKSsJqtbJt2zbeeecd5s6d26D92LFjHf/u3Lkz/fv3JyYmhm+//ZbZs2e3eLw3GtZqE4JSaFGptPORRInqlenU7StupgFYS+upWJCCU5wPXhPbofI9VxLHKTaWyB++p3rpUkrffQ+FR3cEpStibQl1m+eAaHW09b7vPgL+/jcUrYwG0YSFoQkLu2g7QSHg/1Ai5vxa1MGuKN01SOIAdD//TMk7BzEezSLn3vuI+OJz1CGt96za9HpK3nobAL8//xlNWMvryv8RcRsYinNnP6zVJiSLiGQVwSIiWUQMR0oxplah35iL4WgZ3lPaX7J4YHNIot0gF/VmRL2Z0s+O4PdgYqNSdpIoUbXknOEOULUiA3Woe6s8nzIXRrKKmAtrMRwsoe5gsX2hUACX7gG49g6ifEEKlvxaqtdm4j25/bUe7lVBsopUfJeCpagOhZsavwcTEJxUlH6YhLWsnuoV6XjfGXvRd23dgWL0v2UD4DmhHe6DQrFWGjGmVWE8XYUpvRrJZAOVgMrHGZWf/aN0U1O7twhbpZHKRalo9hbjPTkGdZB838vIyPxxkc58Wtq2NSxevJi//vWvfPrppwwcOJB58+YxduxYUlJSmjSQs7KyGDduHI8++ijff/89u3bt4oknnsDf35/bb78dgD179jB9+nRee+01pkyZwvLly7nzzjvZuXMnffv2bXG/Z3XJHn74YV599VU8PT05efIkTq2ct9/wxrsgCFcsdP1aEhsbi06no6ioqEXe93nz5vHcc88xduxY1q5dy5AhQxq1CQ8Pp3375idtCoXC8X1cXBzFxcVMnz6d7du3N7uPq6srnTt3Ji0trQVn1TymbB26X7OxFNXh3NkP91tCUQdeHxMcS0kdpR8fAcDnvk44d/Rp0X6SVbR7G4+V24XlbmuPa58gsElINglsIqJFpG53ITU7CzCeqqQ4vQr3wWG4Dw13hFkKCgXed96JS99hlM07BSI4d1bhkvAEtupqbHV1eNw6FrdBA6/UJXCgcFE3KP0mKBR4TZuGc/fu5D78CObMTLLvuZeIL79AGxPTqmOXzfkQW0UFmnbt8H1w5mUe+c2J0kOL0qPxIqJzN3/qj5VTvToDa1k9ZfOP49IrEM+x0Shd1U0cqfXU7ijAnK1H0ChRemuxlhgom3cMvwcS0LbzBM4Y7ktP28UVFQK+98RRd6AYY2oVlT+cJODJbnLe8CUiGq2YcvSYs/WYsvWY82rAei60x6mTD55johyGos/0jlR8k0zdniK0UZ64dPW/VkO/KkiiROWS05gydAgaJX4PJjoWRn3ujqPs82MYDpeijfHCtVdgs8epT6mgarn9/eY+NAz3QfZFRZWPE259g3HrG4xkExHrLCjcNAiKhgsBbv2DqdmWj35rPuYsHSUfJeHWLwTPsVEIajmUXkZG5o/HlfS8v//++zz88MM88sgjAMyZM4fffvuNzz77jDfffLNR+7lz5xIREcGcOXMA6NSpEwcPHuTdd991GO9z5sxh1KhRvPDCCwC88MILbNu2jTlz5rBo0aIW9/vPf/6TcePG8fbbbzv6v5S041bPmgoKCnjuuedYt24d9fX1xMbG8uWXXzpUyyVJ4tVXX2X+/PlUVVXRt29fPvnkExISElo9uD8y06ZN4/nnn+ftt99uIFh3lurq6gZ574IgMG/ePJRKJePGjWPt2rUMbWMJrVmzZvH++++zfPnyRqEhZzGZTJw8efKC4SgXwlJqQPdrNsaUc+GdhoMlGA6W4BTng/vgUDTRntcs1FCyilQuTrXn9QIV36bgc2csLt0CLrifaLZR8f1JTKerQCngM70jLl3OTJZVAoIKQIkC8BwbjUvPQKpXZ2BKq6Zmcx6GpFLUgS5IVhHJKiFZRWx6E4ig7eCF30ODrqvwS21MDFGLFjoM+Jx77yN8/jycu3Rpdh9JFLGWlWPJy8WYmkrVmQdg0L9eumD4vszFEQQBl67+OHXwQvdbNnX7ijEcLKH+eDlu/UNwGxTSJm0Cc1EduvXZAHhNbIdzoh/l3yZjztZT9tVxfO+Ow6mTL1XL0jAklYLCbjA5J/qhifak9KPDWMvrqVqWhs89cdfVvXwjYDhcStXydCSzrcF2hYsKTZQn7oND0UZ5NvjOOc4H96Fh1GzNp2pZGuoQ16uiiXCt0K3Lskd7KAR8Z3RCE3ouIkQb7YnHqEj0v+VQvTIdTbhbk4vFphw9FQvtC6YuPQPxOKMx8nsEpaLJRTSwC016jIzEpWcgurWZ1J+ooHZ3IdZqE773dWpk7MtcHlTpRagUV/49IrhcXeeR/8Pmize6TJSPunpaRn5b865aXwCC+1V89lXpr15fAFfrnrS1IRn9Elzven3D66jVatH+LgLabDZz6NAhnn/++QbbR48eze7du5s8/J49exg9enSDbWPGjOHLL7/EYrGgVqvZs2cPs2bNatTmrMHfkn5FUWTt2rU8++yzjBkzhsOHDxMdHc0LL7zAbbfddtHLcD6tMt6rqqoYOHAgw4YNY926dQQEBJCRkdHAiHz77bd5//33+eabb4iNjeX1119n1KhRpKam4u5+6aWj/miEh4fzwQcf8OSTT6LX67n//vuJiooiPz+fBQsW4Obm1qhcnCAIfPrppyiVSsaPH8/q1asZfp7gV0VFBcXFDcO3vby8mg3X8PDw4JFHHuHll1/mtttuQxAE/v73vzNx4kQiIiIoLS3l9ddfR6/X88ADD7Tq/Gx6E/qNudQdKLb/YQrg2jsI5wRfavcXY0ypwHiqEuOpStRhbjgn+KLyckLppbV/PDR2wbcrjH5TLpbCOhQuKrTtPKk/UUHl4lREoxW3fk2HhosGC+XfpmDO0SOoFfjOiG/grW4KdYALfg8lYkyusOcxV5uwVTeRy6wSGpSGu55QBwcT+cP35D32OMZjx8iZ+SCh776DOigIc0EBlvwCLPn5WPLzMRfkY8nLR/pdpQiPiRNx7dfvGp3BzYfCRY33lA64dA+gemUGlqI6arbmUburANd+wbgPDmt9KohVpGpxKtgknDr54NIrEEEQ8H84kYpFqRhTKqj4/iTaaE9MmTq74X5XHC6d/QBQuqrxuTeOsnnHqD9eTt3uQtwGXn8pErYaMzU78u3ikGoFgkbp+KlwUuLcxb9RisCVRrKIVK/OoG6//Tmu9HFCG+2JNtIDTZQHKn/nCz4bPEZFYcqpwZylo/KHk/g/0e2mFFKr3VNI7Y4CALzviMWpQ+Pnr/uQcEyZOkxp1VQsPIX/n7ogWUREgwWx3opYY6ZqZQZYRZzifPCe2r5Nz12VtxO+98VTf6qSiu9TMKZUUL0qA6/JMdfl81xGRkbmitGa+u1n2oWHhzfY/PLLL/PKK6802FZeXo7NZiMwsGE0VWBgYCP75yzFxcVNtrdarZSXlxMcHNxsm7PHbEm/paWl1NbW8t///pfXX3+dt956i19//ZWpU6eyZcuWJiOmm6NVxvtbb71FeHg4X58p4wT20mVnkSSJOXPm8M9//pOpU6cC8O233xIYGMjChQt57LHHWtPdH54nnniC2NhY3n33XaZMmUJ9fT1RUVFMmDCh2fxyQRD4+OOPUSqVTJgwgVWrVjlC4UeOHNmo/aJFi7jrrruaHcMzzzzDRx99xJIlS7jzzjvJz8/n7rvvpry8HH9/f/r168fevXuJjIxs8XnVnyin8qdUJLPdm+0U74vnrVGoA+wroU4dfbCU11O7s8AhkGbJr/3diYLSS4s20gNtOy+07TxR+jq1aBIkWexebJvebM9LbMZ4MeXo7SJzgNeU9jgn+FG9KoO6vUVUr8hANFhxH2Yv0yWJEub8GuqPl1N/tAyb3ozgbBfx0kZ6tOi6CIKAc6If2lhvjCkVSFYJQSXYxaXUCgSlApWP03WtFq3y9iby66/If/oZ6nbtIv+Jv1x4B6USdXAwmohwtJ064fc7gRCZy4M2ypOAp7pjPFmJfnMuloJaancUULunCLe+QXiMiWqxEaffkIOluA6FqxrvqR0cf3NnS9lVLU/DcLDEbrgL4HPneVEnZ8cT4YHn2Gh0azKp/iULdbg72oiGfyeSTQTFxVXsLze2Ogs12/Op213oiLhpipodBXiNi8Z1QMhVGaO1vJ6KH05iKaoDAdyHR+AxIqJVnltBKeB7dxwlHyVhKTZQvSId9yFhdmPVYLX/rLeiCXNr5Lm/UTCmVzlKaXqMicK1e9NRUoJCwOfOjpR8lIS1xEDRa3ubbKeJcLdHh1ymxWLnOB98psdRufAkdXuLUHpq8RgWfvEdZWRkZG4SLqVUXF5eHh4e5+YJv/e6n8/v38kX0xFrqv3vt7fkmBdqI4r2+cTkyZMdXvxu3bqxe/du5s6de+WM91WrVjFmzBjuuOMOtm3bRmhoKE888QSPPvooYE/6Ly4ubhB+oNVqGTJkCLt3727SeDeZTJjO8779PiziaiFJkl30yWhFNNqQbCJKVzUKd81lnZjNnDmTmTNnNjuG3zNy5Mgmje6zDB06tMn9PvzwQz788MMLHrsl44qIiMBisTj+/+OPP17wOBdCkiRqtuY7hH804e54jo9ucpKo9nPG+7b2eIyMwHCoFEtJHbZqE1bdGY+0TcJWZcJQVWbPpwWUHhq07TxReGjBKp4JOT/zMdmw6c3Y9CbEunMib4JagdfEGFx6Bzb4PYsmG5U/pYJkF3xy6Ww3Prwmx6BwUdnLdK3PwaYzIagU1J8ox6Y7F86m9NDg91DiJQkTKTTKi4blX88oXF0J/+xTil5+Bd3q1Sg9PVGHhaIJDUUdGoY6NBR1eBia8HDUwcEI6suTgy1zYQSFgHOCL07xPhhTq6jZnIs5t4baXYVYiuvwm5lw0RxcU5aOmu35AHhPbd9o4UtQCnjf3gGlp5a6A8V4jYtu9l52GxiCOVtnj2b54RTOCb72v2+dCZvOjFhrRuXvYs+LvwreYdFgoWZnAbU7Cx3h6Opwd9z62lXxJbOIaLYhmW2Y82sxna6ienUmpiwd3tNir2juvuF4OVVLTyOZbChc1fjc1bFJb3JLUHpo8Lk7jvIvjmNIKrWnNTRqJBD4TA/HguqNgn2B40yYe/cA3IdeWIhT6a7B5644yr8+AVYJlAIKZxUKFxUKZzXqABc8bm35wlZLcensh21CO3SrM9H/lo3SU4Nrj+bz7mVkZGRuJi4l593Dw6OB8d4Ufn5+KJXKRl720tLSRl7xswQFBTXZXqVSOapoNdfm7DFb0q+fnx8qlYr4+PgGbTp16sTOnTsveF6/p1WzjczMTD777DNmz57Niy++yP79+3n66afRarXcf//9jkE3FTaQk9N0KZU333yTV199tVWDvlxIooRksiGeMdixNfSy2PRmRIMVpZe22YmZZBORbJI9nFIOfWsWySpSteq0Y6LoNiAEz/HtEJQXvmZKNw3uQxpOwCRRQqy1YCmpw5Slw5Spw5xXg01vdhjyF0NQKxCcVPbQyJ/TMJ6uxHtqBxQudkNS90smtgojSk8NXpPOCa+dLdOlcFGjW5PZQEVe0CrtYcRnvOc3YzhqSxE0GkLefIPg119DUP5xr8P1iCAIOMf54NTR2y4ct/AUpgwd5d+dxG9GPIK6aQ+jaLJSueS0fUGrZyDOCX7NHt9zVCSeoy4cjSMIAt7TYrEUH8FaXn+ufvZ5WEsN1O4swGN4y0uoXArGjGoqvjuJZLQv7KlDXPEYFYlTnE+Tz3VJkqjdVWjPqz5RgbnwML73xKEJu/ypYfotueh/s78/NVEe+N4dh9KzbZVOnGK88BzXDt1vWSg0SgRnld1odVbZa5WX1lO19DT+j3e9YXKyRaOV8gXJSPVW1OHuDaJCLoRTjBchL/UHQNBcvfe4+8BQbDoTtdsLqFqahtJdc8kLMjIyMjI3FJLgCIdvUdsWotFo6NmzJxs2bGig1bVhwwYmT57c5D79+/dn9erVDbatX7+eXr16oT7jXOrfvz8bNmxokPe+fv16BgwY0OJ+NRoNvXv3JjU1tUFfp0+fblX0MrTSeBdFkV69evHGG28A0L17d5KTk/nss8+4//77He1aE67wwgsvNAgB1+v1jfIarhSi0Yqt0nhugyAgaJUonO2XxaY3IVlFrOX1CE4qVF5aUAoNPfRnBYOUAgpXNUoX9R+qhm5LOKv6K6XWgAK8Jsbg1r/1pcTOIigElB4alB7nJjui2YY5twZTlg7JZLMb50rBboioFCjUShSeGlSeZ/LlnVUg2RWzdWfqIZvzavCZ3hHRLDqMcu87Yh33w/m4DwpF6apGvzkXTbg7zol+OHXwbtbw+aMiG+7XL2eNeL8HEyj/6gSm01VU/HDSLqL1u2eYOb+GqpUZ2CqNKL20eE28PEJGCicVvg/EU7ujAIWzCqWn9sxHg7mglurl6dRszce1d1Crc/NbiilXT8W3yUhmEVWgC56jInFK8L1oiJ37oFC0kR5ULDyJrdJI6WdH8RgWjsJdY4/8OVtVQpRw6uh9SYZ9/ckKh+HuNjgMzzGRly182/2WUNxvaaw1YK02UfLBIXtUxp5C3C+THoHtjBK+8gq8HyVRonLRKayl9Sg8NBdchGqKltZ6v9x43hqNTWem/mgZFd+fxP+xLlddR0FGRkbmanMpYfMtZfbs2cyYMYNevXrRv39/5s+fT25urqNu+wsvvEBBQQELFiwA4PHHH+fjjz9m9uzZPProo+zZs4cvv/zSoSIP9hTiwYMH89ZbbzF58mRWrlzJxo0bG3jML9YvwD/+8Q+mT5/O4MGDGTZsGL/++iurV69m69atrTrHVhnvwcHBTbr7ly1bBtjDCsCe/H9+ebMLhSs0pRZ4tVA4qbCpFCi0ShROKgStsoGXQeGssnvfa81IRiuWEhsIgPi7O0kQwCY56h0LTiqUrmoEJ+Uf3hsvWmyINWYshbWonew5sVfCu6DQKHFq74VTe6+W7ySA+5AwtDGeVP6YirW8nrLPjyOc8Zi7DQzBqX3zY3XpHoBLM/mUMjI3CtpoT3xnJlD+dTLGU5VULDqF75kcX1utGf1vOfa64RIIGiU+d3W8rCHian8XvKd2aLw9xI26A8VY8mvRb8zBe0rjNm3FUlxH+dd2w13bwQu/BxJatfiqCXcn8KnuVC5Nw5hSgX5jbpPt9BtzcOsfgseYSBTall07a6WRysWnAXukkte46BaPqy2ovLR4joumenk6+l+zce7k26zOhs0iYjRYUKkVqDRKFEq7RoEkSehK6ynJ0lGSXUNJlo7y/Fqc3NRMfKobfmGX10DV/ZqNMbUKVAr87o9H6XFjVKsQFAI+d8RSXmPGlKmj/OsTBDzZHVUbIytkZGRkrmuuYKH36dOnU1FRwb///W+KiopITEzkl19+cXi3i4qKyM09966Ojo7ml19+YdasWXzyySeEhITw0UcfOcrEAQwYMIAff/yR//u//+Oll14iJiaGxYsXO2q8t6RfgClTpjB37lzefPNNnn76aTp27MiyZcsYNGhQq85RkC6WDH0e99xzD3l5eezYscOxbdasWezbt4/du3cjSRIhISHMmjWLZ599FrDL5wcEBPDWW2+1SLBOr9fj6emJTqdrlNtgNBrJysoiOjq61QXtm+NiIgZgN0Bt1SYk0xkv+1kPvZPd6Ecp2IV+6izn2mAPzVb5OV/UUyKeCdUUtDeXsS/ZRGoKqsjJz8XzsJXgOxKu2xxK0WSjenUGhoMlAKgCnAl8qrtch1fmD4PxdBXlC5LBKuHcxQ9tlCe69TmOUHKXbv54jotutiTWlcCUqaNs/jFQYM/BbqKc16ViraindO4xxBozmgh3/B7ufMkeWEmSqNtfjPFkpV1kTyXYn/tKAbHOYt+OXWTTa0p7nDv6NHmMrCPl+IS44unjROnco1gKatFEuOP/py5XNaJLEiXKPj+OOUuHtr0Xfg8nNno3Gess/PSfA9ScF70mCKA8s/hpNTUsY3cWrYuKiU91IzDa/n63VpuwVRqx1di1Ds5qk0gmG5IonZnk2X9KkoSgOqP4r1EiaBRIVgnDIftz2+eujjekXohYb6V07lE0IW54397hiv+uLzTPutE5e24j/B6+KUvFYZJLxV0OpKtYKk64yqXiRF+vq9KP1WZic8o7rXqOnP37jJj/LxQt/NsRDUZy//Tvm/J5dam0yn0ya9YsBgwYwBtvvMGdd97J/v37mT9/PvPnzwfsoYR//etfeeONN+jQoQMdOnTgjTfewMXFhXvuueeKnEBbaYmxrFArEfycHSHygqaxka10sYfMixYbYp0V0WBBsohYyupR+zo3GcInSZJDmAnsxrvSS4viJjAYJUnCWmkE8ZzCsdrn+jTcwR426TMtFqeOPtQfK8NjZIRsuMv8oXCK9cb3vngqvkuh/lg59cfKAVAHu+I1OeaaqI9r23niFO+LMaUC3bps/GYmXJbj2vQmyr48gVhjRh3kgt/MhDaFTguCgFvfYNz6Bjf5vTGtiqrl6dgqjVR8nYxzN3+8JrRD6XbOuDi6KY9dS9Px9HdmXDdfLAW1KFxV+NzTOI3hSiMoBHxu70DxnCRM6dUYDpag7OyFwWBwiMweXJ9JmaEUlcoFldXuSZekc0a7Uq3AP9ydwCgPAqM98AlxZesPqRRn6lg55zDjHojDOaWC+hMVl2XM7sPCb0jDHexRfgGPdUFwVt1UC/gyMjIyzdKGMvF/dFplvPfu3Zvly5fzwgsv8O9//5vo6GjmzJnDvffe62jz7LPPUl9fzxNPPEFVVRV9+/Zl/fr1N3yNd0EQEFoQ7qhQK1F4KZHc1FjK68EqYikzoPJzbiBgJtlErJXG87z5IJlsWEsMKNzUKN2vTh3zK4VNb7afm4BDC+BGwKWzn6MetYzMHw3nOB987+lExcKTKLRKPEZH4don6JqKlnmOjcJ4qtL+Sa9uXWpME9jqLJR9ccKev+/rZPe4X+Hnk1MHbwL/2gP9hhxqdxZQf6QMY2oVrr0Cce0TRJXByp7lZ8qb6YwYDpTYy+zdFWfXWrkGqPyc8RwdSfUvmWxcu54jv2Q1rlriZf9xy6BbGND/FkSrhNUsItpEPPydUf7uHTbx6a6s+/QYLjl6bItTqRcEEEDl44TCQ4PSQ3tGz0Rr1xpRnFlgF7C79bGLn0oWG5JZpKa2hv25xyg3V+NRXYTbLym4urri5uaGu7s7ERERly1K70pzpe9BGRkZmesFSRSQxBaqzbew3R+JVicuTpgwgQkTJjT7vSAIvPLKK7zyyittGdcNj6BSoPZ3xlpej2QRsZbVo/JzQqFV2cPwK4xIVhEEAaW3FoVGiU1nsoff11rsKvceGhSu6htuJd5msCDW2KMJlB4aBMONuwghI/NHwznBl+Dn+9hDk6+RkNf5qP1dcO0bRN2eInS/ZKJ9snuDxQRJkjBl6rCWGRqu5EtnKlPUmO0K6jozot5ebhKrhNJDg//Dna+YEN7vUWiUeI1vh0tXf6qWpWEpqqN2RwG1OwqoEgSCFWBUKujqbH9eeoyMvObq464DQtiyZzuH6zNBArVajVarxVQrIVkEnN001Jgq2bFzB7l5udx+++14+jcf1mjL1NHHYsXmbL+vyq0SHuOiCRveOpHa+vp6du3axd6kvVitZ0p/VhY1aqfVaunduzf9+vXDzU0WgpORkZG5PhDOfFraVuZ8rlxhWhkEpQKVvwvWinq7V73ciMJNjVhrsccXKhWofJ0cHnmVr7NdAV9nQrKIjjx7pY/TDWPAixYbtioTAAp3DUqtHBcjI3OjcbUM2pbiMSICQ1IplsI6Vi06zqDJHfFWKak7VELd3iKsZfWtOp7SU4vfQwnNCrFdSTRh7gQ82R1jaiV1+4uoP1WFtyTRy/Xc67jUJuHfv+kQ/KvJ9p3bSaq3i+b1s8TSv19/0qywb00Wzu5q7nm6H2mZp1i9ejU5OTnMnTuXqVOn0r59e8cxrBX11J+spP5EOeZse+6nwl1DjrOapNPVCEvSuNXHiXbd/C86HpPJxL59+9i1axcmk/09ExYWRs+ePTGbzdTW1jo+5eXlVFVVsXPnTvbu3Uv37t0ZMGAA3t5yOTYZGRmZa8oVFKz7IyAb71cYQSGg8nW2h8gbrQ6PtKBVovJxahQaf1b1XqyzYKu2e+KpNqH00l73BrwkStgqjCBJ9vx9Dw3WMxMsGRkZmUsly2Bmj7eCYcU2wo5XsasgiZ61IpLZXn5M0CjRxngiKAVHeDUACgGlm9pRfk7pca4U3bVMSxKUAs7xvuTozOzeV0qkk5KO3howWDECB2utOB0uI37gpZfUbCvbtm1zlK8ZEtOHDsnu1GzNx02U8FMJdL+jA06uajp37kxwcDBLliyhpKSE77//nv5d+hBm9cWco8NWaTrjNxHwVrrhe0sk7sMiCFIrMHx3klN7itm2KJXwTj6oLxDpUVpayoIFC6itrQUgICCAESNGEBsb2+S7URRFTp8+zY4dOygoKODAgQMcPHiQrl27Mn78eEf9XhkZGRmZq4xsvLcJ2Xi/CtgNeCdsVSZEg8We0+7ZvDEuCIJdyEghYKs0ItZZ7OH1nprr1oCXJAlb1ZlUAKVgX5i4TscqIyNzY5BTUceHm9JYcbgAlQSdcCMIBYGVViTsVSHc+ofg0iOgxSXYrheqiuvYtigVqwSeoyIJHROJOVdPyokKLGuzObW76JoZ7zt27GDLli0AjBo1igEDBlB/vJziH1NxAwa6qXDOrMYW74PSTYOPuzf3DpjChq0bOV6Vzp5j+88d7LyUfWcnJx7ulehIxxh6TxyFadXoy40krc+h78Tm1a1//fVXamtr8fLyYvjw4SQmJqJQNL8Ao1AoiIuLo2PHjmRnZ7Nz504yMjI4cuQIrq6ujBo1qk3XSEZGRkbmEpEE+6elbWUaICcjXwUEQUChUKD2dUYb7oHa2xmFQmEXwRMEZs6c6Wi3YsUKx35KFzXbj+1l0v23ExgdjKurK/Hx8fztb3+joKAAgK1btyIIAtXV1Y79CgsLSUxMZNCgQVRXV5Odne3o6/efvXv3AvDNN9802B4YGMjEiRNJTk5udD4FBQXcd999+Pr64uLiQrdu3Tiwe789SgBQ+Vy8PJ6MjMzVI6eijsFvb2HMB9t5f8NpThbpG4uPXUfYRIlXVycz/L1t/JxUgCjBkPhAPCbGUKOALVjY0t2bwFk9cesfcsMZ7laLjfVfJmM1i4R29KLHrZEISgFttCext4QiCFCUoaO6xHBVxyWKIjt27GDTpk0ADB8+nIEDByIIAnkGKxsqzWRZ7NEO9UfKKH7vEGVfHqfwtT3oF6XRtyiSYeZE/CR3vNTueLt64uPljbe3N87OztQbjSxdutSRp65UK+g/xR5if2R9LrVVxibHlZmZSWZmJgqFggceeIAuXbpc0HA/H0EQiI6OZsaMGdxxxx0A7N69m/z8/DZdq8uBJElUlxo4vjWftZ8eY+2nx671kGRkZGSuOJLUuo9MQ26sGc8NSlHROSGdxYsX869//YvU1FTHNmdn5yb3mzdvHk888QT33zODH//8PZFhERToSvhh6SLee+893n///Ub7ZGRkMGrUKOLi4li6dCkuLi4Ow37jxo0kJDQsteTr6+v4t4eHB6mpqUiSREFBAc8++yzjx4/n9OnTaDT2HNiqqioGDhzIsGHDWLduHQEBAaSnp+OhtJeBU3porguRKxkZGTs2UeJvPx0lt9JuCKaW1PDRpjSifF0YkxjErQlBdA3zQnENFeXPRxQlnl16jGVJduNqaEd/Zo+KpUuYFwCr3RS8tOgw/unFTLfFo1FdH+NuKboyAzt/SqM8rxYnNzWjHkxocO1dvbREJPiSc6KCk3uK6H9bzBUfkyiKpKSksHXrVsrL7SUChw4dyuDBg7HZRKqK6ti5NB0r4DIqkoAEX6p+tovumdKqAVD6OOHcyYe+nRIZHOXZqLydXq9n7ty5FBcXs379esaNGwdATA9/gtt7UpSuY++KTEY+GN9gP0mSHIsJPXv2bFPOekJCAqdOneL48eOsXLmSxx57DJXq6k6DRJtI9vEKclMqyUupQF9+bsFCoRQwG61onOSpmYyMzE2MHDbfJm74N4QkSUhnPAFXG0GtaFFoeFBQkOPfnp6eCILQYFtT5Ofn8/TTT/P000/zwQcfYNObsOnNRIVHcku/gVTrdFgrjXblZMBSUseR0xmMnTyBoUOHsmDBgkY5fb6+vhfs9/xxBQcHM2vWLCZNmkRqaiqdO3cG4K233iI8PJyvv/7asV+4fyi2KiMoBBRu15fQlYzMH53Pd2RyMKcKN62K58bGsS21jO1pZWRXGJi3LZN52zLxc9MyPM6f4XGB3NLBD9dr5MmWJImXVp5gWVI+SoXAh3d1Y0KXhqHjYxKC8HfXUlZj4rfkYiZ2vXZ54a2hTmfi0C/ZJO8oRBQlBIXAiAc64dpEKbi4/sHknKggdW8xfSe1u2ILK5IkcerUKbZs2UJpaSkAWq0THYK7Ys7w58cd+6kqqUO02mdPPiGudBsVgVKpIODJ7hiOlCIaLDh19EHl73zB96GHhwe33XYbCxcuZP/+/bRr1464uDgEQWDgtA4s/e9BUvcV02V4GAGR5xTrU1NTKSgoQKVSMXjw4Daf89ixY8nMzKSsrIzt27czfPjwNh+zpUiixLq5x8k+fq62vUIpEBzjSXi8DxHxvqg18uK3jIzMTY4cNt8mbnzj3SJS+K/d16TvkH8PQLhCL9olS5ZgNpt59tlnAbs6rySBWGNGrLXgoXRBNFiQzPY68bv37WHm049y9z138/HHH7c4pLA5qqurWbhwIUCDRYBVq1YxZswY7rjjDrZt20ZoaCh/uvdhHr7rAXtt+uvEeycjIwOnivW8v96uFv6vCfHc2TucGf0iqTNZ2ZJayq8nitlyqpTyWhM/Hcznp4P5aJQK+sX4cnuPUCZ0CUF5gb/pshoTX+7MwsdVzYx+UTi34XkoSRKvrTnJD/tyEQR4/86ujQx3AI1Kwd19IvhoUxrf7cm57o13U72VIxtyObIxF+sZgb2IBB/63RaDf7h7k/tEd/FD66qirtpE3slKIhN8m2zXFvLz81m7dq0jMkyr1ZIY252czUpKcpSUUOJoq9Yq8Y9wZ/DdsY7a7YJSwLVnYKv6jI2NpX///uzZs4cVK1bw5z//GU9PTwKjPIjtG8jpfSXsXJLGlL/1QBAERFFk8+bNAPTr1w9396avV2twcXFh3LhxLFmyhB07dtCpUyeCg6+Osv+h33LIPl6BUq0gfmAIEfE+hMR6yZ52GRmZPxSCZP+0tK1MQ+Q3xnVKWloaHh4ejkmFIAj2mulKwa6wrBAQlOc83Xc+ei93TJzKR2980KzhPmDAgEbf6XQ6lEql499ubm5IkoTBYA+xnTRpEnFxcY72mZmZfPbZZ8yePZsXX3yRvTt2M/vZv6PVaHjwyUcv+3WQkZG5NMxWkdmLj2K2iYyIC+COXmGO71y1KiZ0CWFClxDMVpH9WZVsOlXCppOl5FYa2H66jO2ny/h0SwZ/H9ORkZ0CGnhV60xW5m/P5PMdmRjOLCB+vSubv4/uyJTuoZfkKX53fSpf7coC4K2pXZjcLbTZtvf0ieCTLensz67kVLGeuKDma4tfK6qK60jeWcip3UWYDPYc78BoD/rfFkNoxwuHfivVCmJ7B3F8az6ndhddVuNdkiQOHjzIunXrEEURjUZD37596dGlFyvfO4FgMxEc40lkZ198Q9zwCXHF3cfpsi3MjhgxgpycHAoLC1m6dCkzZ85EqVTSb3IMmUllFKXryDxcRkyPAE6cOEFpaSlarZaBAwdelv7BHj6fnJxMSkoKK1as4NFHH73i4fMFqVXsX5UJwOC7Yq9pJQEZGRmZa4ocNt8mbnjjXVArCPn3gGvW95VCkqRGIYgOFfrzUDrbf4WTJkxi5a9r2L5pK0MnjUShbuwBW7x4MZ06dWq4v/JcO3d3d5KSkrBarWzbto133nmHuXPnNmgviiK9evXijTfeQBIlEoI6cOLIceZ//xUPPf2nNp2zjIzM5eN/m9NIKdLj5aLmzds7NxvSrFEpGNTBj0Ed/PjXhHgyympZc6yIr3ZmkVpSw6MLDtIjwot/jImjV5Q3Px7I48ONaZTX2lN2uoR5UlFrpqC6nr8tOcpXu7L457hODGjv1/Kxbkrjky0ZAPx7cgJ39g6/YPsgTydGxwey7kQxC/bk8MaUzi3u60pis4hkHikjeUcBBaerHdu9g1zoNzmG6G5+La7C0WlAMMe35pN5tAxjnQUn17aXNrNYLKxdu5YjR47Y++jUiQkTJuDi7MKaT45SV23CO8iFCU91vWLeYJVKxbRp05g3bx55eXls27aN4cOH4+7jRLdRERz8JZvdP6cTHu/tULwfOHBgs9owl8q4cePIysqipKSEXbt2MWTIkMt6/PMx6M2s/zIZSYK4fkF0GnB1PP0yMjIy1yVy2HybuPGNd0G4YqHr15LY2Fh0Oh1FRUUtCumb/8V8/vHM35h0/+2sXLiM4ZNGN5okhoeH0759+2aPoVAoHN/HxcVRXFzM9OnT2b59u6NNcHAw8fF2QSGxzgI2ibjYOFb8tvpSTlNG5qanML2aDV8mExjtSb/b2uEV4HLF+zySV82nW+3G8Ou3JRLg7tSi/QRBoH2AO38d6c6DA6KZuz2Dr3dlkZRbzd2f78XHVUNlnRmAKF8X/jEmjnGdgzBZRb7Znc0nm9NJLtRzzxf7GB4XwIvj4mgf0Hyoc53Jytu/nuLbPTkA/HNcJ+7vH9Wisc7oH8m6E8WsOFzA82Pj8HBqm3Frs4ooFEKrPcz1NWYKTleTf6qSjMNlGGstgL3cfGRnPxJuCSEiwbfV0Qh+4W74hrpRUVBL2oESOg8Nu/hOF6C6uprFixdTVFSEIAiMGDHCoSR/6NdscpMrUakVjHk08YqHcfv4+DBx4kSWLl3K9u3bcXFxoUePHnQfHUHKrkL05UbW/rSFqqoqXF1d6dev32Ufg5ubG+PGjWPZsmVs27aNjh07XlSL5lIQRYn1XyZj0JvxCXFl8N0d5TKqMjIyf2xkz3ubuOGN95uVadOm8fzzz/P222/zwQcfNPq+uroaLy8vx/8FQWD+F5+jQMGku6eyevkqho8Z0aYxzJo1i/fff5/ly5czZcoUwO4BSU1NRRIlbDX2SXx6fhaRkZFt6ktG5mbEXG9l41cp1FaZqK0qJetoGYlDQuk9Lhont7Z7UpvCaLEx+6cj2ESJiV1DmswbbwmeLmqeuzWOBwdE8b/N6Szan0tlnRlfVw1Pj+jA3X0i0JxRFHdSK3l8SAx39grnw42n+WFfLptPlbL9dBkz+kfy1xGxeLo0PN/tp8t44efjFFTXA/D30bE8Orj5Ot+/p387XzoEuJFWWsvPh/KZOTD6ks7TZhPZvzqLIxtyUWmUBES6ExDpYf8Z5YGbtxarWcRksGKqt2A2WKmvsVCYUU3+qSoq8msbHM/VS0v8wGA6DQzB3adliyZNIQgCnQYEs3NJGid3F7XIeK8orKXwdDVB7TzxC3dzGImZmZksXboUg8GAs7Mz06ZNIybGrmJfmFbNvlX2dIVb7orFN9TtksfcGhITE8nMzCQpKYlff/2VrVu30r17dxJHRbJvaR7H0w+CArp16t1IfPVyjuHEiROkpqby+eefk5CQQO/evQkLC7tsBvaBtVkUpFah0ioZ82giarkai4yMzB8d2XhvE7Lxfp0SHh7OBx98wJNPPoler+f+++8nKiqK/Px8FixYgJubG++9916DfRQaJZ989DFKhYKJUyaxatUqRow8Z8BXVFRQXFzcYB8vLy+cnJqeYHp4ePDII4/w8ssvc9tttyEIArNmzWLAgAH855XXmDpqEgePH+aLr79g/vz5l/8iyPwhMBksHNuST1luDTHd/enQJ+i6KVvWVnYuTaOm0oi7rxPeQS7kJldybHM+p/YU0/PWSLoMD0PVRIrL7zHVWxGtIs7uzVdzKNYZ2XCyhBWHC8gsqyPAXctrkxOabd9SAjyceO22RB69pR0HsisZnRCIezNebh9XDa9OTuT+AVG8+ctJNp4s5etd2aw4XMDs0R25u3c4dSYbr61NYekheym4MG9n3pjSmcGx/q0alyAIzOgfyb9WJvPd3hweGBDVaoNLX17P+i+TKcnSA/bFlvxTVeSfqjrXj0JAEi88e/AJcSUszpuIeF/CO3mjUF6elKrYPoHsXpZOWW4NRzfnkXhLKMom0rXMRiv712RxbHO+Y6zuPk5Ed/PDPdzGqg1LEEWR4OBgpk+f7lj4ra85E84tSnTse/XDucePH09AQAD79u2jqqqKPXv2AHtwCnFHFM0obFpS11gp2b+XuH5BxPYNwslVjbnehtloxVxvxWy0otYoCYz2aPV1FwSBCRMmYDAYyMvL49ixYxw7dozg4GB69+5N586d27RwkJtSwcFfsgEYdm9HfIJdL/lYMjIyMjcNsvHeJmTj/TrmiSeeIDY2lnfffZcpU6ZQX19PVFQUEyZMYPbs2U3uo/LQ8uGb76NUKpk4aSKrVq1yhMKPHDmyUftFixYxffp0RItddEo6U8LoLM888wwfffQRS5Ys4c4776R37978vHQZLzz3Aq+//QbRUVHMmTOHe++99wpcAZmbGWOdhaOb8ji2OQ+z0X7/ZR0t59CvOfSeEE37HgE3dPWC7OPlnNxVBAKMnNmJkA7e5J2sZPfP6ZTn1bJneQZHNuYS1tGbkA5eBLf3wifY1W4sShKVhXXknKgg50QFxRk6RFGi04Bg+t0Wg4uH3YjPLKtl3Yli1qeUcDSv2tG3SiHw9rQueLlcvtKNEb4uRPi2LOQ/xt+NLx7ozfbTZby2JoW00lpeWnGC7/fkUGkwU1ZjQhDggf5R/GNMx0suTTeleyhvrTtFRlkduzMqGNiKPPu0gyVs/f4UZqMNjbOKofd2xCvQhdJsPaU5NZTm6KkoqHMYw4JCQOusQuOiQuuswj/cjbA4H0I7ejt+H5cbZ3cNsX0DObWnmJ0/pXF4fS49xkQSPygYlVqJJEmkHypl15I06nT2SKiASHcqi+qoqTRydHMOVX5JiCoRL20w8T5DyD9WR42/iKe/M9sWpTry3AffHXvVw7mVSiX9+vWjT58+pKens3//ftLT0zGKNQC0D+hCjV6NrrSefauyHBECTaF1URHZ2ZfoLv5EJPi0OPTf3d2dhx9+mIKCAvbv38+JEycoKipi1apVbNy4kVGjRtGtW7dWX5s6nYkNX6WABAm3hBDb5/KH5MvIyMjckMg5721CkCTpulrT0Ov1eHp6otPp8PBoqCBsNBrJysoiOjq6WW+xDNgMFmyVRhAE1IEuCKqmvRGSTUQ0WBHrLEhWewkjBAGFswqFiwpBq2wwYZFsIpJZRDRYEOutCGoFqgCXC05q5N+ZzO+przVzZGMex7fkYzHZjXbvYFciE305uavQocztE+JKn4nRtOvmf8PliBprLSz69z4MejNdR4YzaFoHx3eSKJG6v5h9KzOprTI12E/rqiIw0oPKorpG351F46Sk14Rottrq+WhrOmef4IIA3cO9GBUfxNjEIKL8rg8vn9Um8sO+XD7YeJpqgz0fPMbflbendaFnpE+bj//SihN8tzeHMQmBzJvR66LtLSYbO386Tcoue4m0oHYejHooAQ+/xoJoVrMNY50FjbMK9e+eh1cLm0UkeWchSb/lUFdtvydcPDV0HR5O/qlK8k7aowQ8/J0ZPD2WyERfLGYbeSmVbNj0G0U16ShsGrzLe6KQGnuRVWoF057vddXC5S9GeXk5hw4dQqFQMHz4cGwWicwjZZzaU0RBajVgX0jROCvROKnQOKuoqzJhrLM4jqFQCYTFetN7YjRB0Z6t6r+uro7Dhw9z8OBBqqvt/UVFRTFx4kR8fVum+i9JEr98eozs4xX4hrkx7bmeLYqwuVpcaJ51o3P23Eb4PYxKcWUW1c5HcLnK8xqT+ap1VT6q5WlMbcVva95V6wtAcr/y2jNnEar0V60vANHX66r0Y7WZ2JzyTqueI2f/PiPefh2Fc8v+dsR6I7nP/t9N+by6VGTj/SZEkiSsZfVIZhuCkwqFswpBgX12LwiAhFhnRay30mDmrxTgrBEPoLQb8oggmW3nDPwzqHyd7d9fAPl3JnM+ZXk1rPzgsMNA9w11o/f4KLuBrhAw11s5ujmPIxvzMNfb2wS39+TWP3W+Yt7NK8FvX5wg/WAp3kEu3PnP3k1O3G0WkeJMHYXp1RSmVVOcqXPUAQd7ubCwjt5EJPgSmeiDQW9hx+LTlOXavZLlCpFNzhYi430Y1zmYEZ0CWixMdy2oNpj5fEcmLhoVDw+KxukyGTOnS2oY/cF2BMFey37mBcLnzUYrK94/bL+GAvS8NZI+E6IvW5j7lcRmETm5u5BDv+Y0WNhRqhT0uDWSHmMiGtxn6enpfP/99wDcOvQ2XCRfdKX16Mrr0ZfZf4o2iREPdCKu342hfm42WhEUAiq1osHvWBQlijN0ZB0tI+toOboyu46CxlnFtOd64h3U+oUsm83G3r172bJlC1arFaVSyZAhQxgwYECzZeUkSaK+vp7D29LY9+spRI2JxCEhuHho7OK6Zz7Ozs507dq1QbWXq4lsvF8+ZOP98iAb75ePG8J4f6uVxvtzsvF+PnLY/E2IIAgovbRYSw1IRis2o7X5tmoFClc1Chc1CDTwrGOTEGstDdurFAgaJQpn5UUNdxmZ89FX1LPmf0cxGaz4hLjSd1I7orv4NQiN1zir6D0+ms5Dwzi6KY+jm/IoStex9L8HGf+XLpfNO2iz2I3kpvKH20rawRLSD5YiKARGPhjfrMdNqVYQ2tHbUfPbZhMpy62hLKcGDz9nQmO9UJ1XScPTHzrN6MDaeUkkVkj4iQqm12nxLRIIcjJQYa1EFeWJd5DLdZlu4OWi4R9j4i77cWMD3Zk5IIpvdmfz6uoUssrr+NeEeFS/M8glUWLj1ymU5dbg7K5m9COJhF2k3vr1hFKtIHFIGJ0GhnBqTxFHN+fj6e/MwGntG1UwMBgMrFy5EoDevXvTb2i3RscTRQmr2XbFleUvJ82NVaEQCOngRUgHLwbc3p6qYgNbvjtFcaaOtZ8cY9rzvVpdak+pVDJw4EDi4+NZs2YNGRkZbN68mRMnTtCxY0eMRiMmk8nxMRgMVFdXYzafMa7O3Fp7D2Y2efyqqipGjGibqKyMjIyMzB+PG+etLdMqFBolSm8nRKMVROmMOISEJAJIKLRKFK4aBE1DD4agVaLQKpG8JCSjFbHeZvfAa5T2tjeAh0rm+sNYZ2HN/45i0JvxDXVlyt97or3A4o+Tq5q+k9rRsW8Qaz45iq60nmXvHGL0wwlEdW55XnNTlGTpWTf3GFaLSP8pMcQPDLlsxm6dzsS2RakA9BwbSUBky1eJlUoFQdGezYb5Lj2Uzz+XH8dkFcmPcOapQH8KD5ZTkV9LRX4tyTsKAXtYfUCUh8OYCYzyaLAIcDPy8sR4gj2d+O+vp1iwJ4ecCgMf39O9gbDevlWZZB0tR6ESGPfnLgS1a1049fWCUqUg4ZZQEm4JbbbNL7/8Qk1NDb6+vowaNarJNgqFcEMZ7i1FEAR8gl0Z+3hnlv73ILqyen6df4KJT3dF2cz7q7rEgL6i3l5RwGDFZLBgMlixmGxIokSo1BN1gD8Z5YcpLS2ltLT0gmNQ2DRo1a7ExIei0Wg4G+AoSRImk4mTJ0+ya9cuunbtip9f255nMk1jKy9HEK5MlYLzUQYGXPE+zkeqqb14o8vE1fSGZz4YcdX6Amj3Vc7V60xxdefNwlUKqG5LPwIgtHD3688Vce25+d7cMg6UrmqUrfQ2nEUQBARnNQrnK//yk7m5sZpt/PLpMaqKDbh5a5nwZLcLGu7n4xXowrTnevHr/OMUpFbzy6fHGDitA12GX1opp7SDJWz69qTD8771h1RO7i5iyD0d8Q9vvh55S5Akia0/pGKqs+IX7kavsVFtOt5ZymtNvPnLKZYl2dXZh8cF8MGd3fB0UVN3u4niDB0lWXpKsvWU5ugxG20NFNMVKoHAKA9C2nsR1z8Yr8CrFy54tRAEgceGxBDp68pfFx9m2+kypn22hy9n9iLM24XUfcUc+tU+WRs+o9MNa7i3hOPHj3PixAkEQWDq1KloNDdOusnlxMVDw7gnurDsnUMUpFaxc3EaQ+7p2KBNTaWRXUvTyEgqa8ERNXgIPah3LUASrPgEehDbMxRXd2e0Wi3Ozs6UnjaStKoItVrN9P/r0+TfmiRJ/PDDD6Snp/PLL78wY8aMG07TQ0ZGRqZNyIJ1bUI23mVkZNqE1WLj4NpsVBol7br7NyiHJIoSG75OoShDh9ZFxYSnuuLmrW3V8Z1c1Ux8qhvbF6WSsquInUvSqCyqI65/MK5eGlw9tSibEWU8iyRJHPwlm/2r7WrVUZ19Ce3ozf7VWZRk6VnyxgG6DAunz6ToS/ZG5hyvIPtYOQqlwMiZ8Rcd08U4K/T23vpU9EYrggB/HRHLU8PbO0rpuXpqiekRQEwPu/dHtIlUFtVRlK6jKL2agrRqDDrzmf/rOLY1nwl/6UJIhxsnXLw13JoYxE9e/Xnk24OkltRw2ye7mTOqEye+SwOgx5hIOva9eVW/dToda9euBWDIkCGEhjbvnf8j4BfmxuiH4vll7nFObC/AJ8SVzkPDsJptHN6QS9KvOVgtIoIAPiFuaF1U533UqJ2UKBSCXS5GYc9XN+jacXxrPuZ0icwygeEzoolM9KW61MCmX/cjoKT/1JhmF8kEQWDcuHF88sknZGZmkpycTGJi4lW+MjIyMjLXELlUXJuQjXcZGZlLRpIkti06zandduXufasy8Q5yoV13f2K6B3BydxGZh8vOhCp3xjfk0nLWlSoFQ++LwzvYlV3L0knZWUjKzkLH987ualy9tHgFuhAc40lwjBe+oa4olAqsFhtbvjvF6f0lAHQdGc6AqXYDuH3PQHYuSSMjqZSjm/NIP1TCrY91brVn1mYR2bnEbiB2HR7e5tz8/VmV/GvlCU4V28XpEkM9eHVSIj0jL2x0K5QK/MLc8Qtzp/PQMCRJQldWT2FaNSd3FVKcqWfVR0e59U+JbU4/uF7pEubFir8M5KFvDlBQWMvub0/hKgpEd/Wj3+SrJ8B0tbHZbCxbtgyj0UhISAi33HLLtR7SdUF0V3/63xbDnuUZ7PgpDZPBQsquImoqjACEdPDilumx+IW1/G82tm8gG79OoarYwJqPj5IwOJTKglqsZpHQjl50HhJ2wf19fHwYNGgQ27Zt47fffqNDhw5ota1b1JSRkZG5YZGN9zYhG+8yMjKXTPL2Ak7tLkIQILSjN4Vp1VQVGzi0LodD687klAkw6sGENnt7BUGg28gIvAJdOLw+l5pKI3U6E6JVor7GQn2NhfK8WtIP2vNR1VolQe08MNZZKcutQaEQGHx3bINcYTdvLbf+KZGc5Aq2L0pFX27kl7nHmf7P3rh6tnwyfXRzHrqyepw9NPQaF3XJ56g3Wnh5ZTLLDxcA4Oms5h9jOnJ3nwiUl5CXLwgCXgEueAW4ENsnkN8+Tyb7WDnrPjvOiJmdbtra0yFezix6qC/zX96NqyhRrhRJHBx4XQr5XS5+/fVXcnNz0Wq1TJ069ZopmV+PdB8dQWVRHal7ix214t28tQy4vT3tewa0Omw9INKDO1/szZ7lGRzbkk/ydvvfq9pJyfAZnVp0nw0aNIhjx45RVVXF1q1bGTNmTOtPTEZGRuYGRJBakfMuG++NkI13GRmZS6IwvZodi+3e5n5TYugxOhJTvZXsY+VkHikj90QFVovIoGkdaN/z8on6RHX2c3iNJUnCWGuhTmeitspEeV4NRRk6ijN0mI02Rw1srYuKMX9KJDyu6brikQm+3PVSX5a+dZDKwjo2fJnMpL92d4SnX4g6nYmDv2QD0P+2GDSXWIWhrMbEA1/tJ6VIjyDAXb0j+MeYjvi4Xp6cZZVaya2PJbJ5wUlO7ythw9cpmOutJF7ES3gjItpEdn+filu9hEUlsMzFzA+Lkvjs3h6M6BR4rYd32UlKSuLAgQMATJ06VRZB+x2CIDDs3jhqq4wUZ+jpNiqcnrdGodZe+gKHSqPklumxRHXxY9O3J6mrNjHojg54+Dm3aH+1Ws3YsWNZuHAhe/fupVu3bgQG3nz3poyMjEwjZM97m5CNdxkZmSax2cQz+Z6NDdjaKhO/zj+BKEq07xlA91F2pVits4qOfYPo2DcIi9lGvd7c4snspSAIAs7uGpzdNfiFuTuMelGUqCysozijmjqdmY59gy4q1KbWKrn1T4ksefMgBaer2b86k36TYy46hr0rMrCYbAREeRDX79I82XmVBmZ8uY/sCgO+rhrm39/roiHyl4JSqWDkA/FonVQc31bAtkWnMRqs9Lw18qYRzZIkiW0/nib7WDlKtYKJT3Xh5L5Mfksu4bHvDvHhXd0Z3+XS65pLksTBnCp8XTVE+7le8+uWl5fnyHMfNmwYHTt2vMgef0yUagWTn+mOzSY2W77xUgjv5MM9r/SltsrUQO+jJcTGxhIXF8epU6dYu3YtDz744DW/n2RkZGSuOLLx3ibkul9XAUEQLviZOXOmo92KFSsa7LtlyxbGjRuHr68vLi4uxMfH87e//Y2CAnuY3tatWxEEgerqasc+hYWFJCYmMmjQIKqrq8nOzm6277179wLwzTffNNgeGBjIxIkTSU5ObjCeqKioJo/zl7/85YpdP5mrT96pSr782w4WvrKPY1vyMNdbHd/ZLCK/zj9O/Zmyb8Pv79TkhFOtUV5Rw/1CKBQCfmFuJA4Jo++kdi1WWPcOcmXofXbj59C6HHJOVFywfUmWnlN7igG4ZXqHSwrLPlWs5/bPdpNdYSDM25mlfx5wRQz3swgKgVvuinWE9+9bmcny95IoztJdsT6vJofWZZOyoxBBgNEPJxAR68Mn9/RgcrcQrKLEU4uSWHoo/5KPv3B/LnfM3cPw97Zxy9tbeOHn46w7XoTOYGnz2CVJQldv4XRJDdtOl7H4QC4fbkzjw41plNWYGrWvqanhp59+wmazERcXJ+e5XwRBIVxWw/0sGidVqw33s9x6662oVCpyc3M5evToZR6ZjIyMzPXH2bD5ln5kGiJ73q8CRUVFjn8vXryYf/3rX6Smpjq2OTs3beDMmzePJ554ggceeIBly5YRFRVFbm4uCxYs4L333uP9999vtE9GRgajRo0iLi6OpUuX4uLi4jDsN27cSEJCQoP2vr6+jn97eHiQmpqKJEkUFBTw7LPPMn78eE6fPu0oN3TgwAFsNptjnxMnTjBq1CjuuOOO1l8YmeuSkmw96z47jsVko9poYMfiNPauzKRT/2A6Dw3j8MZcSrL0aF1UjH28c5tCT69HYnsHUZSm48T2AjZ+ncKd/+yNu49To3aSKLHjp9MAdOwX1Gx9dgCdwYJaJeCiafjIPZhdyUPfHEBvtNIx0J0FD/ch0KNxX5cbQRDoO6kdzu5qdv+cQVG6jmVvHaJ9zwD63dYOT/8bs5zcyd2FjpzmwXfF0q6bPwAqpYL37+yGs1rJjwfy+MfSo6iVApO7tU6NvazGxH/XnQJAIUB+VT2L9ueyaH8uCgF6R/nw0oR4EkObvxckSWLt8SLWJ5egq7egN1rQ11vQG63o6y2YrGKT+32xM5Nnx3Tknr6RKBUCVquVn376iZqaGvz9/ZkyZQqKJuoJS5LE8QIdAe5OBHle+XtLpnV4eXkxZMgQNm3axIYNG+jYsWOzcwIZGRmZmwJRsH9a2lamAbLxfhUICjoXSuvp6YkgCA22NUV+fj5PP/00Tz/9NB988IFje1RUFIMHD27gaT/LsWPHGDNmDEOHDmXBggWo1Q1rtPv6+l6w3/PHFRwczKxZs5g0aRKpqal07twZAH9//wb7/Pe//yUmJoYhQ4Zc8Hxk2o6p3opkk3ByU1+88SVSWVTHmv8dxWKyUeoMRW4C8XUKMNg4tiWfY1vOeCwFGPVQwg1r5F2MQXd0oCRbT1luDb99foIpf+vRqPRb6v5iSrL0qLVK+k9pOry+oLqet389xcojdmV8DycVIV7OBHs6EeDuxMqjBRgtIj0jvfnqgd54uly5321TdBkWTrtu/uxblcmpvcWkHyol80gZiUNC6TU2Cmf3G6dGeM6JCrZ8b18U7XFrZKNcfqVC4M2pnVEpBb7fm8vffjqKh5OaYXEt12P4z9oUaoxWOod6svDRvhzMrmJ7Whk70spJL61lX1Ylkz/ZxeND2vHU8A44/c7Lm1NRx/+tOMGOtPIL9uPprCbY025sB3k4kVyo53iBjpdWJrPkUD7/ua0z2Ye3k5eXh1ar5a677mqkVl6iN7L0UD5LDuaRXWHA313LxtlD8HS+uveYzMXp378/x44dIyYmpskFGBkZGZmbCVmwrm3c8Ma7JElYLG0PV7wUzhrHNquIQqlokbhVS1myZAlms5lnn322ye+9vLwa/H/37t3ce++93HPPPfzvf/9r8wSgurqahQsXAjRaBDiL2Wzm+++/Z/bs2XKe3hXCarGRfayC0/uLyTlRgSRKtO8VSM9bI9tcjuz36CvqWfXhEYx1FoqUIos1JiwWWK+GKFcFPUwq2lkVCAh0uTWSyETfix/0BkWpVnDrnxJZ/J8DlGTp2fBVCoHRHnYNAIWAQilwYK3dw9trXFQjZfo6k5W52zKYvz2zgSdVb7SiL65xlIADGNbRn0/v7Ymz5tpEMLh5OzHigXi6johgz8/p5KZUcmxzPsk7CunYJ5DOw8JbVUbrWlCao+fX+ceRRImO/YKaLQknCAL/npRIjdHKyiOF/PmHQ3z3cF96RzUtZHg+u9LLWXGkEIUAb0zpjPsZw/+s8Z9XaeC/v55i7bEiPtmSwW/JJbw9rQs9IrwxW0U+35HJR5vSMFlFNCoFDw6MokOAO+5OKjyc1Hg423/6uWkb3Qs2UeKHfTm882sqx/J1PPnZaoap0wHoM2wcJSY1JYV6AHIrDSw5mMfW02XYxHOznrIaEx9tSuOlCfGXdI1lwGIT+elgHl1Cvegc1rpykhdCpVLx2GOPoVLd8FMyGRkZmYsj57y3iRv+TWGxWHjjjTeuSd9/++s/MNdJ2M5MzpUqBSqNEpXG/lOtVV6yQZ+WloaHhwfBwS0TVpoyZQrTp0/nk08+abbNgAEDGhn1Op3OUVJIp9Ph5uaGJEkYDAYAJk2aRFxcXJPHW7FiBdXV1Y6cfRk7VpuIKIFGdWkLKJIkUXi6mpN7i0hPKsNmsjX4Pu1ACWkHSmjX3Z9eY6Pwj3Bv85gNejMr5hyhrtpEuUJkqauJO/pFMDTWn0M5VRzIrmR1gQ5XM3iIApvyi+hljrpmBufVwMPPmREPdGLd3ONkJJWSkVTaqI2zjxaf7r6U6o1o1Uq0KgWrjhTyzvpUR45yn2gf/jUhnkhfF4p0Rgqr6ynWGSnUGfFz03B3nwjUymvvbfMLc2Pi093IS6lkz4oMynJrSNlVRMquIkJjvegyLJyorn4YdCZKsvT2z5noBL9wNyb8peslK+23BVGUWDf3OFazSHgnb4bdF3fBxUSFQuDdO7pSY7Sy+VQpD32zn7eHeVOafYru3bvTpUuXRvsYLTb+b8UJAO7vH9Wk4Rbu48In9/RgYpci/m9FMumltdz+2W7u6RPB/qxK0kprARjU3o/Xbksk2q/lOdJKhcD9/aO4NTGI/6w6hub0EQCOW4P4ZkU+0HQOf69Ib6b3DsfdSc3j3x/i293Z3NU7nA6BbX9m/BF5fU0K3+7JwVmtZMnj/S+YHtFaZMO9MW+++SYvvvgizzzzDHPmzLnWw5GRkblctCaXXTbeGyG/LdqAvtzYwCtts4rYrCImu92LIAi4eGhw9tC02oiXJKlV3uzJkyezfPlyduzY0axo0eLFi+nUqVODbefXAnZ3dycpKQmr1cq2bdt45513mDt3brN9fvnll4wdO5aQkJAWj/Nmp6C6nns+34tNlFjyeH+CPVuXu2iziaz44jjFh88JpekEkZMaGyc1NhQS9DOpibUoyDxcRubhMnw7eDLq7o74hlyad9Rcb2XZB0nUlNWjE0RWelh4ZWpn7upjV5AfnWBPpTBabOzPquSpRYfJzdPx5MIk5s3oieo6MDyvFO26+XPrnxLJOlaOJEpIooQoQlZZLSeLazhg1vHv97c1uW+krwsvjO3EmIRAx9+yu5Oa2OvccAqP9yGskzdFGTqObc4n80gZBaerKThdjUqtwGppnJNdlK5jzSdHmfh0N9RXeUGnNEdPbZUJjbOKWx/r3Ci9oSnUSgUf392dv3y2FvfKE+zbUg9AVlYWNpuN7t27N2g/b1smWeV1+LtrmT069oLHvjUxmH7tfPn3mhR+Tirgh325APi6anhpQjyTu4VccqRSgLsTY30r2StYMCmcKXCKJkBQNpjbOKuVjE0M4o5e4bQPOPdMGBUfyIaUEl5dncJ3D/eRo6VayU8H8vh2Tw4A9RYbj3x7kJVPDrwqGhV/RA4cOMD8+fObXEyTkZG5wZE9723ihjfe1Wo1L7744lXpy2YTMehMGGvtytsqtQoXDw0unlokUcJqEbGabVjN9p82q0idzkR9jRkXTy3OrchVjo2NRafTUVRU1CLv+7x583juuecYO3Ysa9eubTIHPTw8nPbt2zd7DIVC4fg+Li6O4uJipk+fzvbt2xu1zcnJYePGjfz8888tPqcbFUmS+OlgHgpBYFrPsGYnvTqDhQe+2k9OhX315ulFh1n0aL8WG7cmg4WfPjqMPrsWEYnjGhtZruAd6UbnMC9uD/XEZLWx7kQx352qoJdBSZxFSUWaju//s5/Rf0qkU9eW5e9KkkRJlp60AyUk7yvGZrBSJ0hsCRL48sF+dI9orHbupFYyONafLx/oxb1f7GPTqVL+ufwE/729c6NrUmuy8vHmdJJyqvjPlMQb2tMX0yOAmB7nruuOtDLe+SoH0dWew+5kEzFZRaQzLxgPJxVPDe/A/QMi0aquriFrs9lIS0ujpKQEX19fAgMD8fHxabBI1xIEQSCkvRch7b2oqTRyYnsBKTsKMdZZEBQCvqGuBEZ5EBDlgbO7ho1fJVOUruPXuccZ9+cuKNVXb0EnL6USgPA4bzROLXul5eTksGnTJiKrc0EBZkmJXumBn1jFypUrUSgUdO3aFYCs8jo+2WoPUf/XhHg8nC7+HPdy0fD+nd2Y2CWE9zak0iXMi2fHdMTLpW0aAoWFhezbtw+Ah++5nTcv8Dz/PS+Nj2fb6TJ2ppezPqWEMQmXVtbwj0hSbpUj8uKxwe3YdKqU9NJaHl1wkMV/6n9TRyBdC2pra7n33nv5/PPPef311y/Y1mQyYTKdq8Sg1+uv9PBkZGTayhU23j/99FPeeecdioqKSEhIYM6cOResxrJt2zZmz55NcnIyISEhPPvsszz++OMN2ixbtoyXXnqJjIwMYmJi+M9//sOUKVMuud/HHnuM+fPn88EHH/DXv/61Ved3wxvvgiA4lNCvJBaTldpyE5IooFar0bqocfPSnpukKgSUKgXaM2GjkiRhMlipqzZhs4rUVhkx6M2YjdYL9HKOadOm8fzzz/P22283EKw7S3V1dYO8d0EQmDdvHkqlknHjxrF27VqGDh3apnOeNWsW77//PsuXL290g3799dcEBAQwfvz4NvVxI/DTwTyeW3YcgN0ZFfz39s6NjDKjxcajCw6SXlpLoIeWOpONA9lVvLv+NM+PbTrt4Hz0FfUseT8JY4UJMxKn2ml4dmZ32vm5NoramN47Al29hU0nS9i0vwDPEzWEWhVs+Ow46RMimDihQ7P9lOfXknagmLQDpdRUGh3bawWJ1A5OLHy0F/7u2mb3B+gV5cP/7u7O498fYvHBPAI9tMwebS+vJkkSa44V8Z+1JynW24//2HeHWPnkQNxbYPRc7+RVGnhq0WFECe7oGcbb07ogCIJde8MmYbTacFYrr3oYvF6vJykpiaSkpEaTV6VSSUBAAAEBAfTo0YPIyMhWHdvdx4n+t8XQe1wU1aX1eAY4N/KuT3iqG6s+PExuSiXrv0xmzKMJKK7SNchNPmO8x188b72uro41a9Zw8uRJwB6q3Ll7L/6XrCC90kw/VQ5xqjKWL1+B0SrSp0c3/rXyBGaryC0d/JjQyvrw5+fEtxVRFFmzZg2SJJGYmHjBhdimiPB14U+3tOPjLem8tiaFIbH+jQT1ZBpTojfy+HeHMNtExiQE8tytcdzTN4LbPtnFsXwdf19ylP/d3f2yat780fnLX/7C+PHjGTly5EWN9zfffJNXX331Ko1MRkbmcnAlBesWL17MX//6Vz799FMGDhzIvHnzGDt2LCkpKURERDRqn5WVxbhx43j00Uf5/vvv2bVrF0888QT+/v7cfvvtAOzZs4fp06fz2muvMWXKFJYvX86dd97Jzp076du3b6v7XbFiBfv27bvkyOWbN971MmI2WqkuqUcSJVQaJV6BLnj6O1/QuyQIAk6uanxCXHH3cUKhFBBtIsZaS4tWkcLDw/nggw/48MMPefjhh9m2bRs5OTns2rWLxx57jNdee63JPj/99FMefPBBxo8fz+bNmxt8X1FRQXFxcYOP0WhsdJyzeHh48Mgjj/Dyyy8jSecGLYoiX3/9NQ888MBNn6eXUqjnXyvP1bpffriA+77YR2Wd2bHNJkrM/ukI+7MrcXdS8e1DfXh7mj3Ub+62DDadLLlgHyXZehb+5wDGChM1gsSpBGc++Gt/2ge4NTsh9HRWM7VHGJ883pd7nu1FoRsoEchdk8e7/zuA+TyRNEmSyEupZMUHh1n8+n6Sfsu1G+4qgRS1lWWuJkqG+DDvmf4XNdzPMjohiNdvs1cg+GhzOt/tzSG9tIZ7v9jHU4sOU6w3EuHjQpCHE5nldTy79FiDe+hGQRRFTpw4weHDh6k3W3n8+0NUGyx0CfPktdsSHREHgiCgUSnwcFI3MtytVitZWVkNvEOXg/r6elJTU/nxxx/54IMP2Lp1K3q9HhcXFxITEwkNDUWtVmOz2SgqKuLo0aN8++23pKSkXFJ/Ko0SvzC3JsPig2M8GffnLihUAplHyti84BSSePHft81m49SpU2zYsIGampqLtv89xjoLJWfq00ckXFhAMT09nc8++4yTJ08iCAI9e/bk6aefZvL4W/nm0UEM7RjAflskp61+gMTaVSt55MMV7EgrR6NS8NrkxGsaan7gwAEKCwvRarWMGTPmko7xxLAYgjycyK+q5/PtmZd5hDcfRouNx747RGmNidhAN967sxsKhUCkrytz7+uJWimw9ngRczalXeuh3jT8+OOPJCUl8eabb7ao/QsvvIBOp3N88vLyrvAIZWRkrmfef/99Hn74YR555BE6derEnDlzCA8P57PPPmuy/dy5c4mIiGDOnDl06tSJRx55hIceeoh3333X0WbOnDmMGjWKF154gbi4OF544QVGjBjRQIujpf0WFBTw5JNP8sMPPzQrCH4xbm7L6zJgNlrRldYjSRJqJyWe/i6tWmEXBAFndw1OrmoMervBJ0lgNdtQXSTU7oknniA2NpZ3332XKVOmUF9fT1RUFBMmTGD27NnN9vfxxx+jVCqZMGECq1atcnhoRo4c2aj9okWLuOuuu5odwzPPPMNHH33EkiVLuPPOOwF7vfjc3FweeuihFl2DG5Uao4W/LEzCZBUZ1tGfBwdG85eFSRzIruK2T3bx1czexPi78tqaFH45XoxGqWD+jF7EBXkQF+TBzAFRfLM7m9k/HWXl4/0xZddhrrciihJIdqEti9HKwd9ykKwSpQqR8u4efPRgz1aFWydGePHi64P55P39uOYacU6u4cWXt/P4Uz2hoJ6k33Ioy7UbRgqFQGQXX7Jc4IPkPKwCzBwQxb8mxLfac3RP3whKa4zM2ZjGv1aeQCkIWEUJrUrBE0Pb89iQdqQU6Zk+bw/rThTz5c4sHrmlaRXw65Hs7Gx+++03ioqKAFi2cQ8ZFSH4uLry2X09L+q1rKys5NChQxw+fBiDwYC/vz/33Xcfnp6tF7k6a4AXFBQ4PhUVFQ3aREZG0qtXLzp16uRYVBNFkaqqKkpLSzl69CinTp1iyZIlTJ061VH+8XIR3smHWx9NZN28E6TuK0apEohM9MOgN1GnM2PQmTDozQREedCunydHjx7h8OHDDqO9qqrK8YxpKfmnqpAk8A5ywd2n6dxji8XCpk2b2Lt3LwB+fn7cfvvtDdKRwrxd+ObBPpTojaw8XMDRXRvxNxcRWnWMCEUM04b1JaoVAnOXG71ez6ZNmwD7c9zd/dLSUFw0Kl4c34mnFx3mk63pTO0ZRqjXpdcU33a6DJPFxvC4gJtO+0KSJF5acYIjedV4OKmYP6MXbtpzU6a+7Xz5z5TOPLv0GB9tSiPG35XJ3UKv4YhvfPLy8njmmWdYv349Tk4t0xLQarWNyiTKyMhc51xC2Pzvowqb+ts3m80cOnSI559/vsH20aNHs3v37iYPv2fPHkaPHt1g25gxY/jyyy+xWCyo1Wr27NnDrFmzGrU5a7y3tF9RFJkxYwb/+Mc/SEhIuPB5X4A/vPF+IWE4c70VXZndcNc4qfDwd77k0DhBIeDiqeH++x/grjvupabSiFegS4O+m/JMjhw5skmj+yxDhw5tcr8PP/yQDz/88ILHPp+ZM2c2qRofERHRqBTf6NGjb0gvamuQJInnfz5OVnkdIZ5OvH9nN7xdNfz85wE89O0BcisNTPl0F+M7B/PjAftK/3t3dqV/zDnv3wvj4jicW0Vujp7FbxzEzdT8NctU2bD182XO3d0uKeTa1UnFP17oz+LvkqnYXUp0hcjKV/fjJNnvL6VaQcKgELqOCOfj/dnM354JAjw9ogOzRna4ZI/iMyM6UKI3sWh/LlZJYmSnQF6eGE+4j73+e48Ib16aEM+/Vibz5rpTdAnzok/0xcObryWVlZVs2LDBEVqt0WiwWG2o6kqZpK1i8PDxzRo8NpuN1NRUDh48SGZmQ89mWVkZX375JTNmzMDf379FY7HZbBw5coTt27ej0+kafe/t7U1sbCy9evVq8pgKhQJfX198fX3p2LEjK1eu5OjRo/z888/YbDa6devWonG0lOiu/ox6MJ71XyU7lOrPx6yp5mhePuYDlY5tLi4uGAwGUlJSKC8vx8/Pr8X95aZUIApWbAFFrFq1Ck9PT7y9vfHy8sLLy4v6+np+/vlnSkrs0S+9e/dm1KhRzaZaBXo48achMYi3RPPtoiXkpJ1kuDaT0eF9LzqWiooKysvL6dixY4vH31LWrVuH2WwmLCyMnj17tulYE7sE8/2eHPZnV/LGLyf55J4erT6G0WLj1dXJLNpvf/aFeTvz8KBo7uwVjqv2xp5WSJLEiQI9Px7IZcmhfBQCfHxPjyYXb+7sFU5GaS3ztmfyjyXH2HSylNEJgQyJ9b+kNCGLTbwuKk9cKw4dOkRpaWmDe9xms7F9+3Y+/vhjTCZTq/U7ZGRkrj8uJWw+PDy8wfaXX36ZV155pcG28vJybDYbgYGBDbYHBgZSXFzc5PGLi4ubbG+1WikvLyc4OLjZNmeP2dJ+33rrLVQqFU8//fSFT/oi3Nhv2TZis9koKSlBrVaj0WgcP5VKJWajDV1ZPUgSGmcVnn7OCG3MaRMEAXcfJyoL67CYbBhrLTi7X/l8fZnW8/3eHNYeK0KlEPjfPT3wdrX/njoEurPiiYE89t0hDuZUOQz3/xvfiYldG+auaFVKXuwSye7k02gkCVGrICjGk9IaE0V6I5UGMxJQppToMCiY16d2RtmGe0wQBO66P5H94Xns+ykNJ0mgXpA4rLGSpLUSWVRM4Kpqtp0uc4y5rZ5wQRB4/bZEEkI8iPBxYXBsYwNyRr9IDuVUsfJIIU8uTGLN04MIcL/6Cs0leiP7sirZl1nBoZwqfFw1PHtrHN3CvQAwGo1s27aNffv2IYqiI7TaI7orsxbuY5AyHW+FkYMbVuBqrmLIkCEoFAoMBgPp6emcPn2a9PT0Bqko7du3p1evXgQEBPDDDz9QUVHBV199xb333ktYWFizY7XZbBw9epTt27dTXV0NgJOTE+Hh4YSGhhIaGkpISAiuri33BisUCiZPnoxSqSQpKYkVK1Zgs9nabAz+ng69A5EkiaT1uajUClw8NLh6ajGr9OxK2cHZZXQXwZcRY2+ha49EfvrpJ06fPs2uXbuYPHlyi/oxm80cT02i2j+LilIrNK7k58DFxYXJkye32LBWKBTcf9c0fv75Z5KTk/l56RJmzpzZbH5abm4u33//PWazmenTpzeq6tEWUlNTHaH+EyZMaFTus7UIgsDLk+KZ+L+drD1WxL19yhnQvuULJplltTzxQxKnimsQBPBwUpNfVc+rq1P4YMNp7usXycwBUQRcZyrsZqvIrJ+OsD21jLhgdxJCPOkc6knnME/a+blyolDPuuNF/HKiiLzKesd+z4+Na/K5dpZnb40jt9LAuhPFrDpayKqjhWiUCvrH+DIqPpDeUT5E+Lg0KWqnM1jYn13JnowK9mZWoFEpWPGXgVfk/G8ERowYwfHjxxtse/DBB4mLi+O5556TDXcZmZuJVvoA8/Ly8PDwcPz/QhE3v3dIXayCV1Ptf7+9Jce8UJtDhw7x4YcfkpSU1OYUvD+08W4228PYLRZLA++yIAhgU6KQtDg5q/Hwd75suY5KlQJXLy21VUZqq+3ljVpS2kjm6nEsv5rX1ti9rs+PjaNnZEPldV83Ld8/0pcXfz7Oz4cLeGxIu0ZGsGgT2bMikyMbctEgkKe0sVpbT11hnb2BALhC13Avbu8Ryox+kZftHuszLJzIKE9SUytI1diwppVhyq7kVHENp4prUAjw5tTOTO/dWLjjUlAqBO7r17wImiAIvDm1MyeL9JwuqeWphYf54ZG+VzzMVpIkdmdUsPJIAfuyKh1VAM5nyqe7uKtXOJMjbezcuonaWnst7piYGLr2G8LiEzqWLDyB2eaMGD+C7m6FHD58mG3btpGRkYFSqSQ3N7dBJIqrqyvdu3enR48e+PicizJ46KGH+OGHHygsLOTbb79l+vTpDUTHJEmiqqqKzMxMdu3aRVVVleN4gwYNolevXpecH3UWhULBhAkTUCqVHDhwgNWrV2M0GgkNDcVoNGIymTAajZjNZqKjoy+4wHAhYvsEEdvnnJq5KIp8/vnngER4aBTWtGCsejUnltcRFWrklltu4fTp0xw9epShQ4deMLXAZrORlJTE1i3bqFPZf1++vr7Ex8dTU1NDdXU11dXV6HQ6JEmiQ4cOTJ48GTe31pVSVCqVTJkyBYPBQFZWFj/88AMPP/xwg98p2MVuFi5c6HiHbN26lY4dO7bZyAZ7nv7SpUsB6N+/P0FBl0chPiHEk3v7RvLd3hz+sfQY6/56S4tU9FcdLeSFZceoM9vwc9MwZ3p3ekZ6sywpny93ZpFVXsenWzP4fEcmL4ztxEODoi/LeNuK1Sby18WH+eW43QNyILuKA9lVju+VCgHbeRoNTmoFw+MCuK1bKKPiAxsd73yUCoFP7unB4bwq1qeUsCG5hMzyOradLnMslAIEeTgR6etClK8rzholB3MqSS7Uc34Qm1IhUGey3vDRC5eKu7s7iYmJDba5urri6+vbaLuMjMwNzCWEzXt4eDQw3pvCz88PpVLZyMteWlrayCt+lqCgoCbbq1QqfH19L9jm7DFb0u+OHTsoLS1tIF5ns9n429/+xpw5c8jOzr7guZ3PH/MNcQYnJyf8/f2xWCyYzWZMJjM2qxUJCRRWJCW4+3lcdpEiZ3c1xjoLVrON2ioTnv6XnnN4ubDnYUtXTSH6eqVYZ+QvC5Mw20RGxwfycDOTTye1kvend+PliQl4ujSc9Br0ZtZ/cYKC09UAdBsZTo2zlbodmWhUCga192NUfCAj4gKumHcqMNqDwGgPBgOPDm9PVZ2ZradL2Z1ewZiEIEZeZEJ6uXHRqPjsvp5M+t9O9mVV8tyy4zw/Nq7FAnmtQWewsDQpnx/25ZBZVufYrhDsRkufaB96RXqz4WQJmw6nU3lkA78et+dd+/j40KXfUFZmibzy9QnHhH5Qez/euqM7LpreREdHs2bNGvLz8x3HDggIIDY2ltjYWMLCwpo03FxdXXnggQf46aefyMjIYOHChQwePBij0UhRURHFxcUNRO1cXV0ZOHAgvXr1uqwVNRQKBePGjUOlUrFnzx42bNjQZDuNRsNTTz11yfnV53Pw4EGKiorQarXcedftiEYVaz4+SnWJgZ/fOcStj3cmKiqK7Oxsdu/ezdixY5s8TmFhIUuWLHEsbChsWsI94rn/iQmNvHI2mw2TyYSLi8slj1ulUjF9+nS++eYbiouL+e6773j44YcdCwEZGRksWrQIq9VKVFQUhYWFlJSUcOrUKeLj4y+5X4ATJ07w888/I4oiMTExDBs2rE3H+z3PjY1j2+kycisNvLIqmffv7NZsW6PFxmtrUhw16/tG+/DR3d0dNc7v6xfJPX0i2HiyhPnbMzmYU8W/16RQWmPiuVs7XlOhP1GU+MfSYw5dkv/e3hlJghOFOk4U6Egu1GMw23DRKBkeF8D4zsEM6eiPi6bl0yOFQqBnpA89I314YWwn0ktrWZ9SzOaTpaSW1FBjtFKsN1J8JvrnfNr5udIvxpd+7Xzp187nD2u4y8jI/HG4UmrzGo2Gnj17smHDhgZVsjZs2NBsVF///v1ZvXp1g23r169v4DDp378/GzZsaJD3vn79egYMGNDifmfMmNEoDXrMmDHMmDGDBx98sOUnyR/ceBcEAZVKhWgB0SAiWBT2C6IUsSoMiJKV2tqai670XEq/7r5OVBXVYTJYMBlUaF2uXRktSZKoLjFgNdvQOqtw9tCg1iqv6YTramG1iRzJq2ZrahlbT5dyosAuiBHu48w707pe9Bo0Zbgv/e9BaiqNqLVKht/fifY9AxggSUzqHkqUn0urJoWXC29XDVO6hzGl+6V5Ui8HMf5uvHNHV574IYllSfmsOVbI9N7h/GlwO8K8L93AAqg32ziaX83PSfmsOlqI0WJX23fTqritewgjOgXSM9Lb4V00m82oS5LxdE5BEkWsksAxawjV9dG8//M5teJbOvjxl2Ht6Rvt47gXunTpQmhoKElJSXh6etKhQwe8vb0bD6oJtFotd999NytWrODEiRNs3bq1wfdny7olJibSu3fvK1YGUxAERo8ejbOzM0lJSSiVSpycnBwCMMXFxVRVVbFx48ZGZSJbS01NjUNsbcSIEfbFAHe4/dme/PLZMYrSdaz56CjtR3Qkm2ySkpIYPHhwo5SAmpoaFi1aRE1NDa6urniL7TBmedJ9SGyT4bRKpbJNhvtZnJycuPfee/nyyy+pqqrihx9+YObMmeTk5LB48WJsNhsdOnTgzjvvZMeOHWzfvp1t27YRFxd3yd73gwcPsmbNGgASEhKYMmXKZa/s4aZV8f6dXblz3h5+TipgZKdAxnVuXArPYLby8DcH2ZNZgSDAk8Pa88yIDo0iZxQKgdEJQYyKD+SzbRm8/Wsqc7dlUFFr4s2pna+JoJ0kSfxzxXGWHy5AqRD4+J7ujD5T3/72nvZnoU2UKKyux99de9lK57UPcKN9QHueGNre/n41WMipNJBTUUd2uYHqejPdwr3o187XsQAi0zS/f0bKyMjcBFzBOu+zZ89mxowZ9OrVi/79+zN//nxyc3MdddtfeOEFCgoKWLBgAQCPP/44H3/8MbNnz+bRRx9lz549fPnllyxatMhxzGeeeYbBgwfz1ltvMXnyZFauXMnGjRvZuXNni/s9qz90Pmq1mqCgoFZr5fyhjXeLyUZNpRGr2QacEZXz0ODsrsFo1FBdXU1tbe0VUTNVa5S4eGgw6M3UVJpQO6muWZ3Ys1EAAKZ6K6Z6K6oz49O6qG5KI95qE3ltTQorjhSiq28oyNc1zJP/3t6lkWF+MWwWkXVzj1FTacTD35kJf+mCd5DdABEEgfiQy7sIdCMyrnMwXz/Ymw83pnEkr5oFe3JYuC+XSd1C+POQGDoEXtzLK0kSp0tqOZJXxZE8HUfzqkktqWkQ9hoX5M59/SK5rXtoA4VogNraWr7++muHWnv7Dh2o9U9k+c4i6qrsnu9bE4J4YlgMXcK8mhyDr68vo0aNuqRroFKpmDp1KgEBAWRnZ+Pn50dwcDDBwcH4+/tftbxOQRAYPHgwgwcPbvRdfn4+X3zxBUePHqVnz55N1kZtKb/99hsmk4mQkBB69erl2O7kqmbSM93Y/O1J0g6WkrrBgEuYFwZLNfv27WP48OGOtlarlcWLF1NTU4O/vz/3z5jJDy8eQEC8aIm4y4G7uzv33XcfX331FUVFRXzzzTeUlJQgiiIdO3bkjjvuQKVS0a9fP/bu3XvJ3ndJktixY4ejzGfPnj0ZP378ZQnBb4peUT78eWgMn2zJ4MXlx+kV6d0gGqjGaOGhbw5wILsKN62KT+7twZAL5H+D/b56Ymh7fF01vPDzcZYcyqfKYOZ/d/doMu/7SiFJEq+uTmHR/jwUAsyZ3s1huJ+PUiE4BDavBIIg4O2qwdtV49DXkJGRkfkjcyXrvE+fPp2Kigr+/e9/U1RURGJiIr/88guRkfb0zqKiInJzcx3to6Oj+eWXX5g1axaffPIJISEhfPTRR44a7wADBgzgxx9/5P/+7/946aWXiImJYfHixY4a7y3p93IiSK2QDX/llVd49dVXG2w7X0lPkiReffVV5s+fT1VVFX379uWTTz5plRy+Xq/H09MTnU7XyONtNBrJysoiMjLysnhULCYbVcV1Z8q5qXHx0DQIG6+qqqK+vh6FQnFFJtWiKFFZVIdoFdE4q9A42b3dgiAgnBmGaJOwWUVsVgnRJmKz2oW0tC4qtC4qVJq2ecglSaKi0D4GZ3cNkiRhrLNyNhFPoVTg7qO95MiA+vp6srOziY6ObnHpl6vBu7+l8vGWdMBeM/2WDn4M7RjA4Fi/SxJTkySJzQtOcmpPMVoXFdOe64VX4JWbEN7oSJLEnswKPt2Swc70cgAEAR7oH8U/xnRsNnQ0v8rACz8fZ0daeaPv/N21DGrvx719I+gZ6d3k34XJZOLbb7+lsLAQd3d3xo8fT8eO9rDeYp2RNccKGRLr36JFhJudlStXcvjwYYKCgvjTn/50SQZkRkYG3333HYIg8OijjzYp+CZJEse25LP753TqlaXovU+iUWuZ/bdZODk5IUkSK1eu5MiRIzg5OfHoo49SWwxr/ncUN28t978x4KotMBYUFPDNN9848tvj4+O5/fbbG7wbNm/ezPbt2wkMDOSxxx5r8XWrra1l+/bt7N+/H4DBgwczbNiwK35uZqvIlE93kVyoZ0isP9882BtBENAZLNz/9X6OnimV9u1Dfege0bIIk7OsTy7mqUWHMVlFekV68+UDvVu9KNparDaRkhoT3+4+U1UDeGdaF+7oFX6RPf84XGiedaNz9tyGMhmVcOUjGpWBAVe8j/ORamqvWl8K36tXGSbzwcujwdNS2n2Vc/U6u8rVmSSvqzN/sdpMbDr5bqueI2f/PmP/9gZKbcvm2jaTkdPvvXhTPq8ulVZ73hMSEti4caPj/+dPWt5++23ef/99vvnmG2JjY3n99dcZNWoUqamplyVvUqPRoFAoKCwsxN/fH41G0+aJjcYN1FolShWYLWY4zwmr1Wqpq6vDarVSWlqKl5fXZZ9IaVyhpsKMpcZMXU3L9zMagUpQKAU0TirUzkpUKgWCQmjVGI11ZkxGMwqlgNJJjUIhoHRSYqqzYqqzYLFKmIqMuHppcHJtXQivJEmUlZUhCEKbhbYuJ7szyvlkq91w/+/UzkzrGdbmkM6jm/I4tacYQYDRjyTIhvtFEASBATF+DIjx42heNZ9uTee35BK+2Z3NxpMlvHV7Fwaep4AtSRIL9+fyxtqT1JltaFQKekV60yXMi27hnnQN9yLIw+mC977NZmPJkiUUFhbi7OzMAw880KAsWZCn0w1Vh/5KM3LkSE6ePElxcTGHDh2id+/erdrfYrGwdu1awF6irTmldkEQ6Do8nNBYb3774gR11mzM1LPsm9+465GJHDx0gCNHjiAIAtOmTcPX15eUTacBiEjwvaqRQaGhoUyfPp3ly5fTsWNHxo8f32hRt1+/fuzbt69F3vfa2lpOnjxJcnIyOTk5DuHDMWPG0L9//yt6LmfRqBTMmd6N8f/bybbTZXy/L5fxnYOZ8eU+kgv1eLuo+e7hviSGNi8i2ByjE4L47uG+PPztAQ7mVDHi/a10DvWkQ6A7HQLcHD/bkue9O72cxQfzKKyup7Danld+fhTOa7clyoa7jIyMzPXEFQyb/yPQ6jemSqVqUvFWkiTmzJnDP//5T6ZOnQrAt99+S2BgIAsXLuSxxx5r82AVCgXR0dEUFRVRWFjY5uO1BJvNRk2N3ap2dna+7OHzYI8AsFlE+/0pSfZFOgkkJBQKAUEh2H8q7T9FUcJqsmG1iI1vasFu0J/dT6VWoGomVFGSJOqqTUgiaF1VVNerGn1vMlixGG1QBBoXFVrn1t0ygiAQ+z8KGgAAnvZJREFUFhZ23ZR4qawzM2vxESQJpvcK564+bV/tzU2uYPcy+2LAwGkdiIi/8mG8NxNdw72YN6MXO9LKeH7ZcfKr6rn3i33c3SecF8Z1Qmew8NyyY+zOsIe594r05u1pXWjn33L1cEmSWL16Nenp6ahUKu69995W1RP/I+Lq6sqwYcNYt24dmzZtIj4+vlWl6Xbt2kVlZSVubm4NQuCbwy/MjTtf7M3SL6tILdlHRkEy3/5XRZ7tIACjRo1yqPPnpdhFvyLir55n6Czt27fn73//e7OLBi4uLvTt25ft27ezdevWRrnvkiSRkpLC/v37yclp6P0JCQlh4MCBrYpWuxx0CHTn+Vvj+PeaFP6zNoVvd2eTXlqLn5uGHx7pR8egS1987xPtw0+P9efBrw9QrDeyJbWMLannVNiVCoFZIzvw5PAOrT72qWI9M78+gNkmNtiuVgoEezrz+JAY7ul7dT16MjIyMjIX5kqGzf8RaLXxnpaWRkhICFqtlr59+/LGG2/Qrl07srKyKC4uZvTo0Y62Wq2WIUOGsHv37maNd5PJ1EBhWa/XX7B/jUZDREQEVqsVm83W2uFfEkePHmXHjh0oFAqmTZtGQMDVDZNqDqvFRkmmntyTlRSnV2OosTTZruetkcT1byxEdGpPEcd+LcXFU8Okp7qhVDf2PkuSxNHNeSRvty+WxA0IoseoyBbXvFer1deN4S5JEv9YcpQSvYkYf1dentQ2NWiAquI6fvsiGUmCTgOC6TL82gnC3ejc0sGf9bMG8/avp/h2Tw6L9uex+VQpNUYrBrMNJ7WCZ8fE8cCAKJSt1IfYsmWLw3t7xx13XHIJtD8avXr1IikpiZKSEjZv3szEiRNbtF9FRQU7duwA4NZbb21xyoxao+SOR0fx/nvJGOprybUcAAES4js7PNH6inqqig0ICoGwuNaFcV8uLubtP+t9Ly0tbeB9Ly4uZt26dQ2M9tDQUOLj44mPj2+x8OGVYOaAKDafKmVnejnppbUEemj54ZF+tA9oXYm9pugU7MGWvw/lWH41aaW1pJXU2H+W1lJWY+Ld9afRqpQ8OrjlkS9mq8jffjqK2SYyIMaXe/pGEOLlTKiXM35u2lY/I2RkZGRkrhKy571NtMp479u3LwsWLCA2NpaSkhJef/11BgwYQHJysiPv/fd19AIDAxt5F87nzTffbJRHfzHOhmFfrVDsPn36kJmZSWpqKsuXL29QKuia4gRuXV2J6Wo3zC1mGzUVRvTl9dRUGCnJ0pO6r5hdi7NwcnYirt85A95stJL0Sz7GGpH+E6NwdW8+zLvf+FictE7sWprOkXWFGKtEhs2Iu+HKyn2zO5tNp0rRqBT87+4ebVZ9Nxks/PLZccz1VoLaeTLk7mtbEulmwFWr4tXJiYzrHMxzy46RfaY2e58oH96e1oUov5Z7fs9y4MABtm/fDsCECRNarer5R0apVDJu3Di+/vprDh06RI8ePQgNDb3gPrW1tSxatAibzUa7du1a7UVWqVQMHjKIX3/9FQRQmd2xng7BZLDi5Kp2eN2Doj2uaZWOC/F773tkZCRbtmzh0KFDSJKESqViwIAB9OjRAy8vr2s9XMCuFv/OHV24/dPdaFQKvn2oD5G+rf97aw5njZK+7Xzp265hZNInW9J557dU/vPLSdydVC2Ohvp4SzrJhXq8XNTMuavbJWmVyMjIyMhcA2TjvU38P3v3HVdl9Qdw/HMv97L3BgVBBRfugeDeK1euMleONK00rczKyjJNTTN/pmmZOTLNLPcAF+ZGcYIKyJC9977j9wd5k0Blg3rer9d9kfee5znnuTHu9znnfL9lil4erb3bvHnhTEiDBg3YsmULHTt2BIrPSKjV6icGNAsWLGDu3Lmaf6enp+PgULv2p0kkEoYOHapJxPewVFBVLKGvCLm2FuZ2BpjbFX7gcuumRtdQzo0TEZzcehcdfTnOLQqXCt86HUlORgHGVno08ii+DeK/WvV2RNdAzsltd7l7MZbcrAK6j2uMgUnZ3wNFgZL7V+OxcTaptr3ht6PSWHr4LgAfD2xSKZnf//49iNS4bAzNdBgwo3mJKxeE8nGvb8GR2V355XwY5gZyRrV1KFc1huDgYA4fPgxA9+7dadu2bWUP9blXr149WrRowc2bNzl8+DBTpkx5bBK2zMxMtmzZQmJiIkZGRgwePLhcN7TatGnDpUuXUBQoMIpvQXJkDvtWX2PonNY88C8M3h1qYMl8WTw6+/7tt9+iUCiAwrwxffr0qTVB+6PsTPQ4+V53tLWk1Vb9ZGb3BqTnFrDBJ4QFf93CUFfGSy1Kzo/w0K3INL7/J+Ho4mFuInAXitFq6IyWVtV/RlNHxVZ5H49S5eY9vVElkTxhUqeyVWsCOeDQ5UPV1tegDoOqrS8AImKqpx91frkPFcvmK6ZC0YaBgQHNmzcnKChIsw/+4Qz8Q/Hx8cVm4x+lo6ODsbFxkUdtpK+vz7hx49DX1ycmJobff/9d82GstpJIJHQa0ZBGHW1Rq9Qc+/E20UEp5OUouOZVWCahw0vOaJVyBr2xhx0DpruhJZMSdiuJ7Z9c4MLe++Rll7xcvySxIWn8/pUvx3+5w/4111H+Z69iVcjKU/DOb9fIV6ro3cSGCR4VL9sQHZzKvYuxIIF+09zQN66aetwvMj1tLd7s3oAx7R3LFUioVCqOHTuGWq2mdevWdOvWrQpG+WLo06cP2traREVFsXPnTlJSUoq1eRi4JyQkYGRkxKRJk8q9DFxbW5tZs2bxzux3GDHHAz0jOYkRmexbfY3Iu//sd6+GEnEV8XD2HQpL3dnY2DBp0iRGjRpVKwP3h3TlWtVatlQikfBh/8aMdXdErYY5O69z6m78Y9vnFiiZ+/t1lCo1g1rYPTXQFwRBEGoZdRkfQhEVCt7z8vK4c+cOdnZ2ODs7Y2tri7e3t+b1/Px8fHx88PT0rPBAawNLS0vGjh2LXC7n/v377N+/H5Wq6oPPipBIJfQY3xinFpYoC1Qc+v4mPjvukZetwMzOAJf2j7+xUhLnllYMn9cGG2djFAUq/I6Gs+2TC/h5hWtqxZdEka/k3B9B7FlxlZTYwqXQGUm53L/6+A9plWXZ0buEJGZha6zLipEtKry0XaVUcea3wmzXTT3tsK1f9izMQtULCAggISEBXV1d+vXrJ7Y0VICRkREDBw5EKpUSGBjI999/j4+Pj+YGZlZWFlu3bi0SuFtYVCy4lslkyOVyLOwNGfpua00An5+rRNdAjpVj7S/n17lzZzw8PBg8eDBvvPEGTk5ONT2kWkkikfDlUDeGtLRHoVIzY/tVLoUkldj2W+9AguIzsTTU4cuhbtU8UkEQBKGiHs68l/YhFFWmZfPvvfcegwcPxtHRkfj4eBYvXkx6ejoTJ05EIpEwZ84clixZgouLCy4uLixZsgR9fX3Gjh1bVeOvdnXr1mX06NHs2LGDmzdvYmRkRJ8+fWp6WE+kpSWl39RmHPjfDaKDUgnyjQPAfbBzuWZYbJyNGfFBW0JvJHJxXwgpMVlc+PM+N09G0qC1FaY2+pqHoakOMSFpnNx6h7T4HAAadbRFz0ib694P8PN6gEt7myoLrO7EpLP9YuFyrJWjW2JWxnJ3Jbl9JpqkqEx09GV0HN6gwud7kWRkZLB//37Mzc3p27dvlSUzVKlUnD59GgAPD49SJ0wTHq9Vq1bUqVOHQ4cOERYWxqlTp7hx4wa9evXCx8eH+Ph4DA0NmThxYoUD9/96GMDv+/YaORkFODQxq9bZ4fLS1tamX79+NT2MZ4KWVMLK0S3JzFNw8m48r/54kXZO5vRpYkPvpjY4WxpwNTyZjX8X1m5f+nJzzCvh97kgCIJQzcSe9wopU/AeGRnJq6++SmJiIlZWVnTs2JGLFy9Sr17hMuQPPviAnJwcZs6cSUpKCu7u7nh5eVVKjffaxMXFhaFDh7J3717OnTuHkZGRZs9/bSXT1mLgzBbsXeVHXFQSVvam1G9lVe7zSSQS6reywqmFJfcuxnL5QAiZKXncPBX5n36lmpJ2BibadB/XGKfmluRmFXD7TBRJkZlE3EmukvJqarWaLw4EoFLDoOZ2ReqGl1d2ej6X9hd+eOw4tD56huLDY2llZGRo9kMDJCcnM2rUKLS1S34PVSoVd+7cwcjICEfHspV7un37NomJiejq6mqWLgsVZ2VlxcSJE7l9+zbHjh0jOTmZ3bt3A2BoaMikSZOqrASfhb0hw+e14ebJSFr2ql15UYTKIdeSsu61Nry1w4/jd+K5HJrM5dBkvjp8h/pWBmTnKVGrYUSbuvRpWrZVY4IgCEItIYL3CilT8L5z584nvi6RSPj888/5/PPPKzKmZ0KrVq3IyMjgxIkTHD16FD8/P+zt7TUPGxubasuGXxoqlYqwB/fJsL5FckEEqSopP2y4jq2tLXZ2dtjZ2WFra1vmJHxSqYQmnna4tLfm/tV4EqOySI3LJjUum/SEHBT5hdsKmnja0WlkQ012aF0DOc062XPjZAR+xx5USfB+zD+OCyFJaMukfDigcZHXYkPTOPNbINp6WnQe5YJl3dLdYLqw9z75OQqsHI1o2uXJWbeFf/03kVlOTg5BQUFs27aNsWPHoqenV6R9cnIy+/btIzw8HKlUyvjx43F2di5VXyqVCh8fHwA8PT3FrHslk0gkNG/eHBcXF06fPs2lS5cwMDBg4sSJVRa4P2Rma0C3saJawPNMV67FTxPbE5GczYk7cRy/E8+l0CRCErIAsDPR5dPBFS/zKQiCINQMyT+P0rYViqpYrawXXOfOncnJyeH8+fPEx8cTHx/P9evXAZBKpTg5OdG5c2ecnZ0fuyxcpVIRGhqKrq7uU0swlYdCoeDmzZucP39eM+P5sN+4uDji4uK4ceOGZsz16tXD1dUVV1fXMi19lcm1aNTRjkc/ViuVKjISc5FIwcSqeNbSlr0duHk6kqh7KcSHp2Ndr/KSFeYWKPnqcAAA07vWx8G8sH+lQoXvoVD8joaj/udu3u9f+dK8R106DK6Pjt7jfyRiQ9K4e74wi2fXV1yfiWW7tcGjgbuxsTGTJk0iMzOTHTt2EBERwS+//MK4ceMwMjJCpVJx9epVvLy8KCgoTISoUqnYtWsXU6dOLVVweOvWLZKSktDT06NDhw5VfXkvLF1dXfr370+nTp2Qy+XiJolQqRzM9ZnUyZlJnZxJzy3gTGACV8JSGNm2LiZ6tefGuCAIglA2ElXho7RthaJE8F4BEomEvn370rFjR6Kjo4s8srOzCQkJISQkBAcHB7p27UrDhg01QXxqairXrl3j2rVrpKenI5FIGD16NE2aNCnTGLKysrhx4wb37t3T1A/W0tLSfA0LCyMzMxMozOzfrl073N3dUavVxMTEEBsbS0xMDDExMaSnpxMaGkpoaCjHjh3DwsICV1dX7O3tsbS0xMLC4rFLnEuipSV9Yik4I3NdXNpbE3gpjmteD+g3rfKSD/18LpSI5BxsjXV5s3vhvvSkqEyO/xJAYkTh++HS3gaVUs19v3hunowk+Eo8niMa4tqh+B58lUrNmZ2FSeoaiyR1pVZSBnJzc3PMzc2ZNGkS27dvJy4ujp9//pkhQ4Zw5swZQkNDgcISZYMGDWLfvn1ERUWxY8cOpk6dir7+47+nlEqlmHWvZs/btiih9jHWlfNSC3uRWV4QBOF5IJbNV4gI3ivBwxJ3jRsXLs1Wq9UkJydz8eJF/Pz8iIiI4Ndff8Xe3p6WLVsSFBREcHCw5ngtLS2USiV//PEHr7zyCi4uLk/sT61WEx4ezpUrV7hz5w5K5eOzvAOaPflt27YtEsyYmJhoxgyQlJREYGAggYGBhIeHk5SUxIULF4pdq4WFBfXq1aNz587IZBX7Fmrdpx6Bl+K47xdPWkJ2iTP0ZRWfnsvak4Xv7/wBjdCVaeF3LJxLB0JQKdToGsjpNrYRDdtaA/AgIIkzOwNJi8/h+OYA/P+Owq6hKfpG2ugaytEzkhMflk7Cgwx09GV4DHsxktQlJSUhk8kwMSnfjYqsrKwSA/eHbG1tmTx5Mtu2bSMlJYUtW7YAhVnGe/fuTYcOHZBKpbz66qv8+OOPJCcn8/vvvzNu3LjHft/dunWL5ORkMesuCIIgCIJQW4mgvNxE8F4FJBIJFhYWDBo0iK5du3L+/HmuXLmimZV/yMnJibZt29KoUSP27t1LQEAAu3bt4rXXXitxf29BQQF+fn5cvnyZpKR/y+jY2dnRunVrDA0NUSgURR5GRkY0adKkVEG2hYUFHh4eeHh4kJuby/3797l//z4JCQkkJSWRnZ1Nenq6ZoY+KyuLQYMGVei9sqxriGMzcx74J3P9eATdXq34ftblx+6Rna+ktaMpAxvbcnjdTcJvF75fTi0s6f5aIwxM/t3b79jUglcXunPt+AOuHg4jJjiNmOC0Es/dYXD9F6Km+927dzU5LoyNjalbty5169bFwcEBOzu7p34/paens3XrVs0e98eVDjM3N2fy5MmaGXgHBweGDRtWpK2hoSFjx45l06ZNhIWFcejQIYYMGVJsdYRSqeTMmTMAdOrUqcz5GwRBEARBEISqVZYScKJUXHEieK9iRkZG9OvXj86dO3PhwgVCQ0NxcnKiTZs2RQKUl19+GYVCQWBgIDt27GD8+PGaDNtKpZIbN25w+vRp0tPTgcISRM2bN6dt27bY21f+UkJdXV2aNWtGs2bNNM9lZ2eTlJREREQEXl5e+Pr6Ym9vT+vWrSvUV5u+9Xjgn8yd8zG0H+SsCY7TE3O4fjyCexdjMLLQo+Ow+tRzs3hiWbkbEan8cbUw4/1HvRpxYM114kLTkcmldHnFlSaediUeryWX0m6AE67tbQi6EkdWWj65GfnkZBaQk5FPTkYB1k7GuHWtnPf6YSb1ixcvolQqGTJkCLa2tpVy7orKzMxk//79mn+np6cTEBBAQEBhDoGH5a/atGlT4nuZnJzM1q1bSU1NxdjYmAkTJjwxf4KRkRFTpkwhNjaWunXrIpVKi7WxsbFh5MiR/Pbbb1y7dg1LS0s6depUpM3NmzdJTk5GX1+f9u3bl/fyBUEQBEEQhKoils1XiAjeq4mBgQG9e/d+7OsymYxRo0bx22+/ERISwq+//sqECRNIS0vj5MmTmmRzRkZGdOnShZYtW1b7zKK+vj76+vo4ODiQn5/P6dOnOXjwINbW1hVKtmfvaop1PSPiwzO4dTqS+q2suOYVTvDVeE1SuaSoTA59f5M6jUzxfLlhicntwpOy+HTfbQBGNbUl6LdgUmKz0dGXMWhWS+waPH35t7GlHm37O5X7Wp4mPz+f69evc+HCBVJSUjTP//jjj/Tr14/27dtXWc370lCr1Rw4cIDs7Gysra2ZNGkScXFxREZGEhkZSUREBNnZ2Rw4cICgoCAGDx6MgYGB5vi4uDi2bdtGZmYm5ubmTJgwAVNT06f2q62t/dRycK6urvTr14+jR4/i7e3NmTNnkEgkSKVSJBIJubm5gJh1FwRBEARBqK3EzHvFiOC9FpHL5bzyyiv8+uuvhIeH89NPP6H+J3rV09OjS5cutG/fvlaUoOvatSvR0dEEBgaya9cupk+fXiSIKwuJRELrvvU49uNt/I6Gc+VwmOY1h6bmtOhRl+igVG6ejCTqXiq7l17Bpb0NHYfWR2Io4/CtGP64GolvWGEwXEeqRRP/HFLS8jE002Hw260wty/f2CqDWq0mMTGR27dv4+vrS3Z2NlD4/7R9+/bExsYSGBjI4cOHCQkJYciQIU9MylaVrl+/zr1795BKpbz88svo6+vj7Oys2cahUqm4cOECJ06c4O7du0RGRjJs2DAaNmxIVFQU27dvJycnB2tra8aPH1/pyczc3d1JTU3l4sWL5OXlFXvd2NhYzLoLgiAIgiDUVmLmvUJE8F7LaGtrM3bsWLZu3UpUVBRyuRxPT088PDxqVebsh8Hdxo0bSU5OZvfu3YwfPx4tLa0nHqdWq7l9+zYXLlygcePGdO3aFYD6ra0wsdIjLSEHiVSCSztrWvVxxMqhMPhzam6JW7c6XNofQuClOIJ84wj0jSNdqiZRqsJAS0ULLS3q2xnROEpBTm4+Zrb6DH6nFUbmVfO+5eXl4e/vj66uriZpoaGhIVKplPz8fMLCwggKCiIoKIjU1FTNcaampnh4eNC6dWu0tbVRq9VcunQJLy8v7t69S0xMDCNGjHjqTHRlS0lJ4ciRIwD07NmzxGX8UqmUTp06Ub9+ffbs2UNiYiLbt2+nRYsW3L17l/z8fOrUqcNrr71WJTcgJBIJ/fv3x9PTk4KCAlQqFWq1GrVajUqlwszMrEwVEQRBEARBEITqI2beK0YE77WQjo4OEyZMIDAwEGdnZwwNDWt6SBrx6bksPXKXe7EZjGnvwNARo/h1y2bCwsI4fvw4/fr1e+yxUVFRHD16lIiICACio6NxdHTEyckJqVTCgDebE347iYZtrTG20Ct2vLGFHn1eb4aDuw3bN9zALk+CiUqCiUqLBop/bhrcz0MJ2Dgb89KslugaVs0qBbVazR9//EFQUFCR5yUSCUZGRmRnZ6NQKDTPa2lpUa9ePdq0aUOTJk2K3OSQSCR07NgRR0dH/vjjD5KTk9m8eTMvvfQSbdu2rbQxJyUlcf78eaytrWnVqlWRpeUqlYq9e/eSn5+Pg4MDnp6eTzyXnZ0d06dPx9vbm8uXL3Pz5k0AnJ2deeWVV6p82bqxcfFtE4IgCIIgCEItJ2beK0QE77WUjo4OzZs3r+lhaKhUanZcfsCyo3fJyC0MSj/b74+xrozRDdtB8HkuXLhAQUEBderUwdraGktLS3R0dMjIyODEiRNcv34dKNweYGVlRXR0NAcOHGDGjBnI5XIs7A2xsH/yjYqcfCXvn7jLLb1cmtUx4APPBpgrJKTEZZMSk0VaQg72LqZ0e7URcp0nrwKoiEuXLhEUFISWlhZ2dnakp6eTkZGBWq3WJBU0MTHBxcWFhg0b4uzs/NSA1t7enunTp3Po0CFu3rzJwYMHMTAwKFLOrzyUSiUXLlzg9OnTmhsKp06dok2bNri7u2NiYsKlS5cIDw9HLpczfPjwEpPG/ZdcLmfgwIG4uLhw5MgR6tSpw5AhQ2rFtg5BEARBEAShFhLBe4WI4F14qnuxGXz01y2uhhfuKW9R14RBze3Y6RtBaGIWP92GdnI73LRiuHLlCleuXNEca2pqSnZ2Nvn5+YXHtmhBr1690NbWZu3atSQlJfH333/Ts2fPp45DpVIzb/d1bkWlYW6gzfopHXC0qP694TExMXh7ewPQr18/TT1xlUpFZmYm6enp6OjoYGlpWebkczo6OgwfPhyZTIafnx9//PEHEydOxMHBoVxjjY6OZv/+/cTGxgLg6OhIZmYmycnJnD9feMOlSZMm3Lt3T3M9j9ZiLw0XFxdcXFzKNT5BEARBEAThxSGWzVeMCN6Fx8otUPK/k0Fs8AlBoVJjoK3Fe/0aMcHDCS2phGld6nPybjybzoZyIURNklIPK2kmVrI8LGW5SBR5mr3ederUoX///kWC0IEDB7J7927Onj2Lm5sb1tbWTxzP6uOBHL4Vi1xLwg/j2tZI4J6fn88ff/yBUqmkUaNGRZKjSaVSzd73ipBIJAwaNIiMjAyCgoL47bffmDJlyhPLrZU0ztOnT3PhwgXUajW6urr079+fli1bolarCQoK4sKFC4SFhWlKwLm4uFTqMn1BEARBEARBKELMvFeICN6fQ/kKFcfvxLHnaiSZeQp6NLamfzNbnCxLn3H9YkgSC/68RWhiFgB9mtqwaEgz7E3/3YsulUro3dSG3k1tCIhOZ9vFcI75x3I5q3CWXQcFdXTz6dzQgnGju6KnXfTbrWnTpri6uhIYGMj+/fuZPHnyY5dr77sexZqTwQAsGd6cDs5lmx2uLEePHiUpKQkjIyOGDBlSZWXdtLS0GDlyJL/88gsxMTFs376dqVOnPjWjf35+Pn5+fpw9e5bMzEwA3Nzc6N+/vyZ3gkQioVGjRjRq1IiYmBguXrxIZmZmlV6PIAiCIAiCIEjUaiTq0kXlpW33IhHB+3MkMC6DXb4R/HUtiuR/AmiAS6HJfH3kLo1sjOjnZku/ZjY0tTMuMVBLzy1g6eG7/Hb5AQDWRjp8MbQZ/d3snth3U3tjlr7cnC+HNuNyaDKHb8dw9HYcIZkyQm7noG8RzIcDiu7dfjjDHBYWRmRkJF9uPsiOUDkuNoY0r2NCM3sjLAoSCfa/wbloBVrYM7WbC6PalW8J+aOUKiXf+X2Hlb4V45uO1zxfUFDAgwcPsLGxKZYo0N/fHz8/PwBefvnlcpfGKy0dHR3Gjh3Lpk2bSElJYceOHUycOLHEbOr5+fn4+vpy/vx5srIKb7iYmJgwcOBAGjVq9Ng+7OzsGD58eJVdgyAIgiAIgiBoiJn3ChHBey0QnZpDcHwm+QoV+UoVeQol+QoVEomEHo2ssTJ6fKIztVqNV0Ac60/f53pEquZ5ayMdRrSti52JLl7+cVwMSeJeXAb34jJYcyIIU305rR1MaeNoRmtHM1o6mHD+fhIL994mPqOwfvarHRz5cEBjTPRKn4BMpiXFs6Elng0tWTTEjb+uRfHe7hv89HcIw1vXoZFt0brfJiYm9OrViyNHjpD34DpaiuYERCnIjb1P7vVYTKS5ADSWQgOjTMa3aFeGd/bx9gbvZbP/ZgA62HagkXkjCgoK2L59O+Hh4UBhYNugQQMaNmyIkZER+/fvB6BLly6auudVzcjIiHHjxrFp0yaioqLYunUr9vb2yGQy5HI5crmcvLw8rl69qqkfb2pqSpcuXWjZsiUymfgRFwRBEARBEGoHsee9YsQn+xoWnZpDv2/PkJGnKPF1bZmUEW3qMq2LM/Wt/p0JVqvVnAlKZKXXPW5GpgEgk0ro1cSa0e0c6OZqhUyrcAn6BA8nUrPzOXEnnmP+sZwJSiA1u4BT9xI4dS8BAIkEHq5McbY0YOnLzelYv/R7rEuiJZUwsm1dvANiOeYfx8d/3eL36R5IpUVn/F3dWrHj6FnMyGCkWTg6FFCQUzh7nI8WwQpLGspT0C7I5OdNP9GrVy88PDxKlRG9JFkFWfzv2v80//7hxg980/Ubfv/9d8LDw5FKpahUKmJiYoiJieHs2bOatnXq1KF79+7l6re8LC0tefXVV9myZQuRkZFERkaW2M7MzIyuXbvSokWLIqXoBEEQBEEQBKFWEDPvFSKC9xq26IA/GXkKLA11qGOmh46WFG1Z4SMhI49bUWn8dvkBO30f0K+pLdO71SdfoWKlVyCXw5IB0NfWYnInZyZ6Oj12lt5UX5sRbesyom1d8hUq7sSkc+1BCn4PUrkWkUJEcg5aUgnTu9bnnV4u6MorL/j7bHAzzgYlciU8hd+vRPBKB8ciry85fBefXEeG6AQgzUmlADA0NMTDw4O2bduSmgc6kgKOHT7E3bt38fb2Jjg4mGHDhmFiYlLm8Wy6tYmk3CSs9a1JyE7gePhxtu7aSnhQODKZjHHjxmFhYUFISAjBwcHcv3+f7OxsdHR0GDFiRI0Exo6OjkybNo3AwEAKCgpQKBSar0qlkoYNG+Lm5lZpY1OoFCTlJGGhZ4FMKn5NCIIgCIIgCBUnZt4rRnwqr0En78ZxzD8OmVTCr1Pdiy0pV6vVXAlPYYPPfY7fieeofyxH/WM1r2vLpEzoWI8Z3RtgafjkGuKP0pZJaelgSksHUyZ1KnwuISMPmVSCmUHx/dQVZW+qx7t9XFl86A5Lj9yld1MbzXhP3Y1n99VIJBJ9Wnr0IDUyiFatWhVZ8m2rC6DLmDFj8PPz4+jRo4SGhrJ+/Xo8PDxo3749+vqlyzwfnRnNFv8tAHzk/hFHQ44SdzWO8IzCGffRo0fj5OQEQMuWLWnZsiUqlYr4+Hj09PTKdbOgstja2mJra/vUdkqVkkOhh7gYfZGM/AwyCjLIyM8gMz+TzIJM9OX6WOhaYKFngaWeJRa6FsilcqKzoonKjCI6M5rYrFiUaiUd7TryQ+8f0JKKmfyKSMhOwFzXXLyPgiAIgiC82MTMe4WI4L2G5OQr+XSfPwBTOjsXC9yhMKFbeydz2juZExSXwcYzIey9HoVaDWPaO/B2TxdsTXQrZTxP2ldfGSZ5OvGnXxQBMeksOXSHVWNakZZTwId/3gRgcidnRvRrCnR97DkkEglt27alXr16/Pnnn0RHR3Pq1CnOnj1LmzZt8PDwwNTU9InjWH11NfmqfNrbtqenQ0+Sbybjn+GPGjUd+3bE1dW12DFSqbRUQXNlOXD/ABtvbmRwg8FMaz6tTBngr8ZdZdnlZdxJvvPYNun56cRmxT729UddjLnIDzd/YFarWaUeg1DUT7d+4ju/7xjtOpqFHgtrejiCIAiCIAg1Rsy8V4wI3mvI2lNBRKbkYG+iyzu9XJ7a3sXGiBWjWvLJoKYAmOiXPolcbSDTkrLk5eYMX3eOP69FMbJdXf70iyIuPQ9nSwPe6/v4jOj/ZWlpyZQpUwgICODcuXPExsZy6dIlLl++jJubG40bN0ZPTw9dXV3NV7lczpXIK5wNPIul0pJXTV/Fy8sL/yuFN1CuWVwjIzeDvvStqrfgqQqUBSz3Xc7OezsB+N+1/xGaFsoiz0Voaz15RUR0ZjSrrq7iWNgxAIzkRrzS+BXqGNbBUNsQI20jjORGGMgNyCzIJCknieTcZJJyk0jKSSJPmYe9oT32hvbUNayLvaE9vrG+fPj3h2y4sYE21m3wsPeo8vfgefPL7V/4zu87AP4M+pMpzadgb2hfw6MSBEEQBEGoIWLmvUJE8F4DguMLZ9EBPhvSDAOd0v9veNaC9ke1cjBlnHs9tl0M553frpGYmY9EAitGtkBPu2zLibW0tGjevDlubm6EhIRw7tw5QkJCuHXrFrdu3XrscQ+D83NHzv07rk6t2BO9h9DwUAJTAnE1Kz77XtVis2KZ5zOPmwmFKxH6O/XHO9ybgyEHic6M5rse32Gqa1rsuJTcFH698yu/+P9CnjIPCRJGuo7krdZvYa5rXqExDao/CN9YX/YE7WHB3wv4Y8gfWOpZVuictYV/kj9JOUm0sW6Dobbh0w8oh20B21h5dSUA5rrmJOcms8V/CwvcF1RJf4IgCIIgCM8CMaNefi988K5UqUnJzi/TnvGKUKvVfLL3NgVKNb0aW9O3qU219FtbvN+/EUf9Y0n4pxzdlE7OtHMqf5ApkUho0KABDRo0IDo6msuXL5OcnExOTg65ubnk5uZSUFAAgBo1BdICrEysMDIwQk9Pj8aNG9O2bVvOnD6Dd7g3G25sYGX3lZVyraV1OeYy7595n+TcZIy0jfi6y9d0rduV89HnmXd6Hn7xfow7Mo51vdbhaOyIWq3GL96P3+/9jne4NwWqwutrb9ue+e3n08i89KsYnubDDh9yM/EmQSlBfHjmQzb02fBM79tOzU1lxZUV7L9fWPZPJpHR0rolnew70alOJxqbN0YqKV8Vg0f9dvc3lvsuB2B6i+m0tWnLG95v8GfQn0xvOb3CN1YEQRCEx5NkZiORllzFp1KVMt9OZZHZWFVfZynp1ddXOasHldegDoOqra/krg7V1heAuc+DaulHosqD8n6LqNX/lrgqTdsyWrduHStWrCAmJoZmzZqxevVqunTp8tj2Pj4+zJ07F39/f+zt7fnggw+YMWNGkTZ79uxh4cKF3L9/nwYNGvDVV18xfPjwUvdbUFDAJ598wuHDhwkJCcHExITevXvz9ddfY29fthWZL3Tw/ndQAu/tvkEjW2O2Tu5QLX3uvR7FxZBkdOVSPh/SrEz7mZ8HxrpyPhvclLd2XKO+pQHzyrBc/mns7e0ZNmxYseczczMZtW8UkTmRzGo9ixktZxRrM6PlDLzDvfEK9yIoJQgXs6dvZagMv975leW+y1GpVTQya8S3Pb7FwajwF72nvSfbBmxj1olZhKeH89rh1xjbeCxHw44SkhaiOUdTi6ZMbT6V3o69K/37SVemyzfdvuGVg69wKfYSG29t5M2Wb1ZqH9VBrVbjFe7FkktLSM5NRoIEe0N7ojKjuBp3latxV1lzbQ3muuZ0sO1Ae9v2dLDtQD3jemV+T3cH7mbJpSUATHGboskX0MyiGf5J/mwP2M47bd6p9GsUBEEQBEGo7apyz/uuXbuYM2cO69ato1OnTmzYsIEBAwYQEBCAo6NjsfahoaEMHDiQadOmsX37ds6dO8fMmTOxsrJixIgRAFy4cIExY8bw5ZdfMnz4cP766y9Gjx7N2bNncXd3L1W/2dnZ+Pn5sXDhQlq2bElKSgpz5sxhyJAhXLlypUzXKFGry3FLowqlp6djYmJCWloaxsbGVdpXaGIWPb45jVQCFxf0wtq4cpK/PU5qdj69V/mQmJnP+/0aMatHwyrtrzbze5CCo7l+tax4WHVlFZv9N2Ojb8OB4QfQk+mV2G7u6bl4h3vTz6kf33T7psrHdTXuKpOOTgJgSIMhfNLxkxLHlpiTyNsn3uZ20m3Nc3oyPQY6D2SU6yiaWTar8rEeuH+Aj85+hAQJP/X9iQ52HShQFZCQnUBsVixJuUm0sGyBjUHNrSRRq9Uo1cpipe3is+P56uJXnIw4CUADkwZ87vk5raxbEZERwfmo85yNPsvlmMtkK7KLHGutb0172/Y4GjmSnp9Oel46aflppOWlkZmfibaWNobahhjIDDDQNkCChIMhBwGY2HQi89rN0wT/x8OP8+7pdzGSG+E10qvKlusLgiA8SXV+zqpuD6+tt+0byKSVXz3nv9QKZZX38SiJkUH1dZaTW319VfPMO9U4cfa8zrwrVHkcj95Qpt8jD38+241YjExeuphLUZDLlT2flLofd3d32rRpw/r16zXPNWnShGHDhrF06dJi7efPn8/+/fu5c+ffRM8zZszgxo0bXLhwAYAxY8aQnp7OkSNHNG369++PmZkZv/32W7n6BfD19aVDhw6Eh4eXeGPhcV7omXdnSwOa1svkTqSEfdejmda1fqX3UaBUcTYokQM3ovEKiCMzT0FDa0Omdan8vp4lbRzNqqWf9TfWs9l/MwDz2s17bOAOhcubvcO98Qrz4o7bHZpYNHniue8k3WFP0B5eafQKDc3KdiMmV5HLZ+c/A2BYw2F84fnFY2d4LfUs+bn/zyy+uJjQtFAGNxjMS/Vfwki7eIWCqjK4wWAux15mb/Be3jn1DgYyAxJyElA/kknEUG7Iqu6rypzYLjM/k6NhR7mTdIdJzSbhYFz6P3S5ilzOR5/nxIMT+ET6kJaXhkwqQ1dLF12ZLrpauiTnJpOtyEYmkTG1xVSmNZ+mSQDoYOTAmMZjGNN4DAXKAq4nXMc31pfLsZe5mXCT+Ox4DoUcKtP1AIxrMq5I4A7Q07EnzibOhKaFsjtwN6+7vV7m8wqCIAiCIDzLJKrCR2nbQmHg/ygdHR10dIpOAObn53P16lU+/PDDIs/37duX8+fPl3j+Cxcu0Ldv0WTV/fr1Y9OmTRQUFCCXy7lw4QLvvvtusTarV68ud78AaWlpSCSSp1bK+q8XOni/GHORWIOV6Na1Zs81y0oN3m9EpLLT9wFHbseSml2geb6umR6rRrdEW1bNdxlfQD/c+IF119cB8G7bdxngPOCJ7RuZN6JPvT54h3szzXsaq7uvpp1tuxLbnnxwkg///pAcRQ7Hwo7xU9+fyrTXfN31dYSnh2OtZ8377d9/6tJsPZkeX3X+qtTnrwofuX/E7cTbBKcGk1WQBYBMKsNGv3C2PSozipnHZ/Kpx6cMdxn+pFOhUqu4GneVv4L+wjvcm1xl4R3+o2FHWd51OZ3qdHrssbmKXE48OMGJByc4G3WWHEVOkdcVKgWZqsKa9g+5WbixqNOiJyYjlGvJaW/bnva27ZnJTHIVudxIuIFvrC/JucmY6JhgrG2MiY4JJtomGGgbkK/MJ7sgm8yCTLIKssgqyMLR2JFBzoOK/T+VSqRMdpvMwnML2RqwlbFNxqKjVT25NgRBEARBEGqD8gTvDg5FJ3Y+++wzPv/88yLPJSYmolQqsbEpugrUxsaG2NiSSyTHxsaW2F6hUJCYmIidnd1j2zw8Z3n6zc3N5cMPP2Ts2LFlXgH1QgfvVnpW6Mi0KNAPJ0zxEwExbWhqZ1rh856+F8/kX3xR/TMpaWmow0st7Bjc0o7WDmZIpS/WPveasOHGBr6//j0Ac9rMYbLb5FId97H7x8RkxnA76TbTvKexyHMRQxoM0byuVqvZfmc7K3xXoEaNnkyP1LxUpnlNY1O/TaXaK38r4RZbArYA8KnHpxhrPxvLFvVkevzc72duJtzEUs8SGwMbzHXNkUqk5CvzWXhuIYdDD/Pp+U+JyIjgrdZvFUv+FpEewaHQQ+wL3kdkZqTm+fom9dHR0uFO8h3ePP4m77R5hyluU4oEwEqVkoMhB/nftf8Rlx2ned7WwJbejr3p6dgTVzNXchW55CpzNV+lSGlq0bTMifZ0Zbq427njbudeznesuEHOg/j++vfEZsWyL3gfoxuNrrRzC4IgCIIg1HrlSFgXERFRJMj976z7o/47eaJWq584SVZS+/8+X5pzlrbfgoICXnnlFVQqFevWrXvsuB7nhQ7eG5g24Lse3zHV6w3kxrf4/O/l/D56SYXOeTc2nbd2XEOlhh6NrJjapT7uzubItMRMe3XZeHMja6+vBQoD9ynNp5T6WAs9C37u/zMfn/0Y73BvPj77MQ/SHzCr1SyUaiXLfZfz293C/S0jXUfyTut3ePP4m/gn+TPVayqb+m564hL6fGU+n57/FJVaxaD6g+jm0K1iF1vNzHTNShyztpY2X3f5GgcjBzbc3MCPt34kMiOSLzt/SUZ+BsfCjnE45DA3E29qjjGQG9DfqT/DXYbTwrIFBaoCllxawp6gPXzn9x0BSQEs7rQYfbk+56POs+rqKu6l3APARt+GIQ2G0KteL5qaNy3yy9FEx6Tq34hykmvJmdh0Ist8l7H59mZednm52B59QRAEQRCE51V5EtYZGxs/dYba0tISLS2tYrPd8fHxxWbFH7K1tS2xvUwmw8LC4oltHp6zLP0WFBQwevRoQkNDOXnyZLnyjrzwnxo72HVgjNM8doYt507OAXbcac7YJq+W61zxGblM+eUKmXkKOtY3Z8P4dmJ5fDX78eaP/O/a/wCY3WZ2mQL3h/RkenzT7RvW+K1h0+1NbLi5gQfpD8hSZHEm8gwAc9vOZVKzSUgkEjb02cA0r2ncSb7DFK8p/NzvZxqYNijx3BtvbiQ4NRhzXXM+bP9hiW2eVRKJhLdav0Vdo7osOr+II2FHuJZwjfjseFTqwnVPUokUd1t3XmrwEr0de6Mv/7fMjraWNp97fk4zy2YsubQE73BvQtNCsdKz4kJMYdIQI7kRU1tMZWzjsejKqjbBZFV52eVlNtzcQGRmJN7h3k/dziEIgiAIgvDcUP/zKG3bUtLW1qZt27Z4e3sXKePm7e3N0KFDSzzGw8ODAwcOFHnOy8uLdu3aIZfLNW28vb2L7Hv38vLC09OzTP0+DNyDgoI4deqU5uZAWb3wwTvAe53GsuvaTdRmR/n68tfYG9rR3aF7mc6RW6Bk2tarRKXmUN/SgB/GtRWBezU7Hn6cNdfWAIWB+9TmU8t9LqlEypy2c6hnXI8vLnzBkbDCDJM6Wjos6byEvk7/Jrcw0THhx74/MtVrKneT7zLl2BQ29dtULIC/l3yPTbc2AYXL8011Tcs9vtpsWMNh2BnY8e6pd4nNKrwL2cKyBQPrD6SfUz8s9SyfePwo11G4mLow9/RcglODCU4NRiaV8WrjV3mj+RvP/PumL9fntSav8f3179l4cyONzRvjZOz0wpWNFARBEAThxVOVpeLmzp3L+PHjadeuHR4eHmzcuJEHDx5o6rYvWLCAqKgotm7dChRmll+7di1z585l2rRpXLhwgU2bNmmyyAPMnj2brl27smzZMoYOHcq+ffs4fvw4Z8+eLXW/CoWCkSNH4ufnx8GDB1EqlZqZenNzc7S1S18dQwTvgI5Mi5ccx7MnIhFt0yt8cOYDNvfbXOoSXCqVmnm/3+BGRCqm+nI2TWqPqX7VlygR/hWbFavJ3j6p2aQKBe6PGu4ynDqGdZjrMxeZRMZ3Pb+jpVXLYu1MdEz4sU9hAH8v5R7D9hUGsPVN69PApAH1Teqz694uFGoFfer1KRL8P4/c7dzZ+dJOzkWfo7N95zJlkAdoZd2KXS/tYunlpejJ9Hiz5ZvUNapbRaOtfq82fpXNtzcTnBrMkL1DsDewx7OOJ53sO+Fu516tlQQEQRAEQRCqTTn2vJfWmDFjSEpK4osvviAmJgY3NzcOHz5MvXr1AIiJieHBg3/L6Tk7O3P48GHeffddvv/+e+zt7VmzZo2mxjuAp6cnO3fu5JNPPmHhwoU0aNCAXbt2aWq8l6bfyMhI9u/fD0CrVq2KjPnUqVN079691Nf4Qtd5f9TV8GRGrD+LYb0tSPQDMdMxo0vdLljrW2OlZ1X4Vd8KewN7LPUsi8ySrTh2l+9P3UeuJWH7FHfc65dvGcSj0vLS2Be8j6ENh9bqPby1gVKlZKrXVK7EXcHNwo2tA7cil8ortY8cRQ5SifSp2cFTclOYc2oOfvF+Jb5uomPC3qF7nzr7LDz/LsVc4sdbP+IX50eB6t+KFFoSLea2ncuEZhNqcHSCIDyvanOd96ioKObPn8+RI0fIycnB1dWVTZs20bZt21IdL+q8VyJR571SiDrv/3r48+kx4Isy1Xm/cOTTWvn7qqaImfd/tHE0o56FEeERY3FpuZXY3BD2399fYlstdNDFBpnKCgosiU0yBokbX7/coVICd7Vazfy/53Mu6hy3E2+zvNvyCp/zebbp9iauxF1BX6bPsq7LKj1wB55YH/5RZrpmbBmwhdTcVELSQrifdp+Q1BBC0kKIy4pjdpvZInAXADSZ7LMLsrkSd4Xz0ec5F3WOsPQwvvX7lh4OPcq8YkEQBOFZlZKSQqdOnejRowdHjhzB2tqa+/fvl7kGsiAItVwV7Xl/UYjg/R8SiYRhrerw3YlsrDLn8k73dOKy44jPjic2K56rkWGk5icikaWjlOSRxQOQPgAd0LMHnbrHSNeZSnbBmCJJuMrjWPgxzkWd0/z3W+lv4WjsWBmX+dy5kXBDU8v9444f15r3yVTXlDa6bWhj06amhyLUcvpyfbrW7UrXul0BmOE9g3PR5/jW71tWdV9Vw6MTBEGoHsuWLcPBwYHNmzdrnnNycqq5AQmCUCWqcs/7i0BkVHvE8NZ1ALgYnIm7VR+mNp/K9GbziL43mqiAaeSFfMQQky2Mtvkfw+wW0t/uDTpbD8VGrw55qnRWXV3FgD8HsMV/CzmKnHKNISM/g2WXlwGgL9NHpVax2X/zU46q3fKV+VVy3sz8TOafmY9SrWSA8wAG1x9cJf0IQnWa124eUokU73Bvrsdfr+nhCIIgVIv9+/fTrl07Ro0ahbW1Na1bt+bHH3984jF5eXmkp6cXeQiCUMup1GV7CEWI4P0RTpYGtK1nhkoN+65HExyfyfB157kSnoKxroytkzuwZHhrFvbvzpd9R7Oi79usH7CYoyMP8mWnL6lrWJfk3GS+ufIN/ff0Z43fGv6O/Ju0vLRSj2GN3xoScxKpZ1yP1T1WA7AveB/x2fFVdNVVJzU3lcnHJtN9V3d8Y30r/fyLLy0mKjOKOoZ1WNhxocjWLTwXXMxcGN6wsNTIiisrqGVpSQRBEKpESEgI69evx8XFhWPHjjFjxgzeeecdTVbokixduhQTExPNw8FBbDUShFpPXcaHUIQI3v/j4ez7L+fDeHndOR4kZ+NgrsefMzvh2bDkvcoyqYxhDYexf/h+vvD8gjqGdUjOTebHWz8y88RMOu/szOC/BvPx2Y/5/d7vZBdkl3ieWwm32HVvFwALOy7Ew96D1tatKVAVsC1gW9VccBWJzIhk/JHx+Mb6klGQwXs+7xGTGVMp5w5OCWa573IOhRxCS6LF112+Ftm5hefKrFaz0JPpcTPhJsfCj1Vbvyq1irvJd9l5dyf+Sf7V1q8gCIJKpaJNmzYsWbKE1q1bM336dKZNm8b69esfe8yCBQtIS0vTPCIiIqpxxIIglIeEf5fOP/VR04OthcSe9/94qYUdXxwIICq1cNl7G0dTfpzQDgvDJ2cZB5BL5Qx3Gc5LDV7iaOhRLsZc5GbCTcLSwzSP/ff384v/L3zV+StaW7fWHKtQKfji4heoUfNS/ZdwtyssPzC1+VRmnZjF7/d+Z2rzqc9E5nn/JH9mHZ9FUm4Stga2GGkbEZQSxOxTs9k6YCu6suIZJgtUBazxW8OJBydwNHKkiUUTmpg3oYlFE+oa1iU8PZyjYUc5FnaM4NRgzXEzWs6glXWrarw6Qah6VvpWvN7sddbdWMfqq6vp6dATba3Kz5ysVqsJSQvhUswlfGN98Y3z1awUMtUx5fio40+tsCAIglAZ7OzsaNq0aZHnmjRpwp49ex57jI6ODjo64neUIDxTqrBU3IugQsH70qVL+eijj5g9ezarV68GCj8MLlq0iI0bN5KSkoK7uzvff/89zZqVrmZ6TTPV16a/my37b0QzuKU9K0a2QFeuVaZzyKVyBjcYzOAGhXuwU3NTuZV4i5uJN9kbvJeIjAgmHpnIpGaTmNV6FjpaOuy4s4O7yXcx1jbmvXbvac7VpU4XXM1cCUwJZMfdHbzZ8s1Kvd7K9nfk38zzmUeOIgdXM1fW916PQqXglYOvcCf5DosuLGJJ5yVFlrhn5BfOzJ+PPg9AREYE56LPaV7Xk+kVySEgk8robN+ZQQ0G0a9ev+q7OEGoRhObTWR34G6iMqP47e5vTGw2sVLPn5mfyYKzCzgdcbrI8/qywoSbqXmpeIV5aX6P1Qb+if4s913OO23eoa1N6UpHCYLwbOjUqRP37t0r8lxgYKCmTrIgCM8HkbCuYsq9bN7X15eNGzfSokWLIs8vX76cVatWsXbtWnx9fbG1taVPnz5kZGRUeLDVZenLzflzpiffjWlV5sC9JKa6pnSp24VZrWbx55A/GdpgKGrUbPbfzJgDYzj14BRrr68F4N2272Kh92+5OYlEwtTmUwHYcWfHY5fc17Q8ZR67A3fz9sm3yVHk0NGuI1v6b8Fa3xp7Q3tWdl+JlkSLgyEHi2wBiMyIZPzh8ZyPPo+eTI9FnotY2HEhI1xG0NSiKXKpnBxFDloSLTrV6cSXnb7EZ4wP/+v1P/o79Rf73IXnlr5cn7dbvw3AhpsbSM1NrbRzR2VGMf7IeE5HnEYmleFu5847rd9h24BtnH31LK+7vQ7AH4F/VFqfFaVSq1h0YRF+8X58fv5zFCpFTQ9JEIRK9O6773Lx4kWWLFlCcHAwO3bsYOPGjcyaNaumhyYIQmUSe94rpFwz75mZmbz22mv8+OOPLF68WPO8Wq1m9erVfPzxx7z88ssAbNmyBRsbG3bs2MH06dMrZ9RVzEBHRhtHsyo5t5G2EYs7L6aXYy8WXVjE/bT7vHPqHQBaW7fmZZeXix3Tp14fHIwciMiIYE/QHsY3HV8lYyutrIIsrsdf517KPe4l3yMwJZDQtFCUaiUAg+sPZpHnIuRa/9Zbb2/bnvfbv8/Xl79m5dWVuJi5oCfTY/ap2STnJmOtb83anmtpYtGkSF8FygLC0sOw0rPCVNe0Oi9TEGrckAZD2H5nO4EpgWy4uYH5HeZX+JzX469rfu4s9SxZ02MNza2aF2nzssvL/HDjB/zi/QhOCaahWcMK9wuFfyMyCzLJLsgmW/HP458bkm2s26AlffzNUq9wL+4k3wEgLD2MA/cPMNxleKWMSxCEmte+fXv++usvFixYwBdffIGzszOrV6/mtddeq+mhCYJQiSRqNZJSLocvbbsXSbmC91mzZjFo0CB69+5dJHgPDQ0lNjaWvn37ap7T0dGhW7dunD9/vsTgPS8vj7y8PM2/X5QyHz0ce9DKuhVfXvwS73BvZBIZCzsuRCopvhhCJpXxutvrfHHhC7b4b+GVRq8UCYyrS3JuMtsDtrPz7k4yCoqvpDDRMeG1Jq8xo8WMEmfExzYeS0BSAPvv72eezzzyFHnkq/JpYt6E//X8HzYGNsWOkWvJcTFzqZLrEYTaTkuqxbx285juPZ2dd3eiK9PltSavYalXcvLMpzlw/wCfnf+MAlUBTcybsKbnGmwNbIu1s9a3prtDd048OMHuwN0scF9Q0UshJTeF6d7TNQH4f41tPPax/RSoClh7rXB1krOJM6Fpofxw4wcG1R9UJbkABKG6ZaWmoMjPx8S6+N/BF8lLL73ESy+9VNPDEAShKqn+eZS2rVBEmYP3nTt34ufnh69v8dJfsbGxANjYFP3jY2NjQ3h4eInnW7p0KYsWLSrrMJ4LZrpmrOy2ksuxl9GT6T0xSB3aYCjrr68nLjuOgyEHGVR/EPHZ8cRlxxGfHU+OIoceDj0w0638FQMxmTFsCdjCnsA95CpzAahjWIfmls1pZN4IVzNXXM1csdG3eeIydolEwqcenxKSGsLtpNsA9HDowdddvkZfrl/p4xaE54GnvSf9nPpxLOwYP936iW0B2xjWcBiTmk2irlFdTbs8ZR53k+9yO/E20ZnRaEm0kEllmkdMVoxmGXwvx14s6bzkiT93o1xHceLBCQ7cP8CctnPQk+mV+xrUajWfnPtEE7jLJDL05Hroy/TRk+kRlh7Gjrs76Fq3K53qdCp2/L7gfYSnh2Oua87mfpsZfWA00VnR7Anaw6uNXy33uAShNgi+cgmvDWswsbbhlUXL0ZKJXMKCIDy/xMx7xZTpL0RERASzZ8/Gy8sLXd3iGcMf+m8Ap1arHxvULViwgLlz52r+nZ6e/kLV6ZRIJJrM8k+iraXNhKYTWHl1JV9c+IJPz39arM1Gw41s6LOBesYVT+6iUCm4GneV/ff3czjkMAp14f7SZhbNmNZ8Gj0ce5S4SuBpdLR0+LbHt3x58UvcLNx4o8UbT1wqKwgCLO+6nAFOA9h0exO3EgtLSv4R+Ad9nfpiIDfAP9GfoJQgzc/pk0xtPpW3W7/91J9fD3sP6hjWISozimNhxxjWcFi5x781YCtnIs+gLdXm10G/0ti8cZHXl1xawm93f2PhuYX8OeTPIltkchW5rL+xXjN2Cz0L3mjxBosvLWbjzY0MazisQjcWBOG/UmNjOPf7diLv3EZH3wA9I2N0DY3QMzJCz8iYBu3csXdt8vQTPUV+bg6nt/7ErROF5SANTM3ITk/FyLx8K2sEQRCeCWXZyy5i92LKFLxfvXqV+Ph42rb9N8uvUqnkzJkzrF27VpMlNDY2Fjs7O02b+Pj4YrPxD4kyH6U3qtEotgZsJSEnAQBtqTY2BjbY6NsQlRlFVGYUE45MYF2vdTSzLJ7dX6lSsvPeTnbe3Ympjilulm64WbrR3LI5DkYOKNQKLsdcxjvcm5MPTpKSl6I51t3WnSnNp9DRrmOFk8TZGtjyfa/vK3QOQXiRSCVSetXrRU/HnvjG+rLp9ibOR5/nSOiRIu3Mdc1pZtGM+ib1UaNGoVIUPtQKlColPRx70MuxV6n7HOk6ku/8vmN34O5yB++3Em6x2m81APM7zC8WuENhos6LMRcJTQvli4tfsLLbSs3vmV33dhGfHY+dgR2jG40GCvfkb/bfrMnEP9ltcrnGJgiPyk5P4+KendzwPoJKWXgjLDM5qVi7y/v+oHX/wXR5dSLyJ0xkPElM0D0Or/2G1NgYANq+NJzOY8Yj0xbbQARBeM6JUnEVUqbgvVevXty6davIc6+//jqNGzdm/vz51K9fH1tbW7y9vWndurCGeX5+Pj4+PixbtqzyRv2CMpAbsGfIHuKy47DRt8FUx1TzATcxJ5GZx2dyJ/kOrx97ndU9VuNp76k59l7yPT4//7lmuTrA9YTrmv821jZGjZqM/H/3spvqmNLDoQcjXEfQ0qpl1V+gIAhPJJFI6GDXgQ52HQhICuCvoL/Qk+vhZlF4I87OwK5SKzAMaziM7699z82Em9xLvkcj80ZlOj4jP4P3z7yPQqWgT70+jHIdVWI7PZkeX3f5mtcOvYZ3uDf77+9naMOhZORn8OOtHwF4s+Wbmprzci05b7Z8k0/OfcLPt39mlOsojLSNKnaxwgurIC+Xq4f24bv/D/JzCsuS1mvRmvZDRgCQk5FObkYGOZnpJEY8IPDC31w7eoCQa770mzEbh6bNn3T6IhT5+fju38OFPb+hVqkwtLBkwMx3cXQTf2MFQXgxiFJxFVOm4N3IyAg3N7cizxkYGGBhYaF5fs6cOSxZsgQXFxdcXFxYsmQJ+vr6jB07tvJG/QIz0zUrcV+7pZ4lm/tvZvap2VyKucSsE7P4qtNX9HDswfrr69kasBWlWomh3JC3Wr+FsbYx/kn+3Eq8xd2ku6TnFyYKtNC1oJdjL/o49aGdTTtkUrH3ThBqo6YWTWlq0bRK+7DUs6SnY0+8wr3YHbibTzp+Uupj1Wo1n5//nKjMKOoY1uFzz8+feGOhqUVTZraayZpra1h6eSltbdqyN3gvaXlpOJs4F6s3/1L9l/j59s+EpIWwLWAbM1vNLPd1Ci+u+LAQ/lq2SDPDbu3UgK6vvU69Fq0ee0xYjz54bfgfaXGx/L5oAa36vUTXsZOKzcKrVEpSoqOICQ4kNjiQ2PuBJISHaWb1G3l2pfeUmegaGlbZ9QmCINQ6Yua9Qio9Mvvggw/Iyclh5syZpKSk4O7ujpeXF0ZGYlakqhnIDVjXax0fn/2Yo2FHmf/3fKz0rDTL7PvU68OHHT7EWt8aQPNhuEBZQFBqEAqVgmYWzcQedEEQNEY3Go1XuBcHQw4yt+3cUieX3B24G69wL2QSGSu6rsBY2/ipx0x2m8zfUX9zLf4aH5z5gODUYADeaf1OsRuJWlItZrWaxTyfeWwN2MqrjV/V3NjMUeTgn+hPYEogBnIDrPStsNKzwlrfGmNtY1RqFVGZUYSkhRCaFkpIWgjRmdG82vhVetfrXcZ3SKht8rKzObdrG86t2+Hcqu1j2yU+CGP34k/IzUjH2MqGzq+Mp7FnVyTSJ+eDcGrZhonffM+Z7T9z88RRrh87yL3zZ9DW00NRUIAyPx9FQQGKgvwSP3gamJnTbdxkmnTuXtFLFQRBeOZIVIWP0rYVipKo1bXrlkZ6ejomJiakpaVhbPz0D3tCcSq1iuW+y/n1zq9A4R7zj90/prtD95odmCAIzxy1Ws3gvYMJTw/nM4/PGOk68qnHBKYEMvbQWPKUecxrO49JbpNK3V9kRiQjD4wkqyALADcLN3YM2lHirL1KreKVg69wJ/kOfer1wVLPkhsJNwhMDnxs8j5taeGe4nxVfrHXZBIZa3utLTHjvfDsuLDnN87/Xvj3z2PkWDxGvFIsIE+KiuD3RQvITkvFtoELIz9ZjI6+QZn7Crt5Da8Na8hITCjxdZmODrb1XbBp4IJdQ1dsG7hibGVdqdtbyup5/pz18Np6276BTFr1+QPUCmWV9/EoiVHZv0fLLSe3+vp6yg2zSleNP3/JXas3Cbe5z4Nq6UehyuN49IYy/R55+PPZvcPHyGSlyxeiUORy+vJXz+Xvq/ISa6KfQ1KJlPnt59PIrBEJOQmMazJOlGITBKFcJBIJI11GsvLqSnYH7n5q8J5dkM17Pu+Rp8yjS50uTGg2oUz91TWqy4cdPmThuYUAvNPmnccGOlKJlLdav8WsE7PwDvcu8pq1njVNLZqSp8wjISeBhJwE0vLSNEG7jpYOTsZOOJs4U9+kPneT73Iy4iTvnn6Xn/v9jJulW0ldCrWcWqXC3+eE5t8X/thBfNh9Bsyah45+4d/BlJgodn/5MdlpqVg7NWDER1+WK3AHcGrRmtdXrSc+NASplhZacjkybW1kcm205HL0jIyRaonVbNVNlZ6OSlINyf/qO1Z9H49Qa1XjTR/98iVjLI9qLwcWEVNtXVVXMP1Q6CSnaulHmZcLK8p5sMg2XyEieH9OSSQShrsMr+lhCILwHBjacChrrq0hICkAvzg/2ti0eWzbJZeWEJoWirWeNYs7Ly5XScmhDYaSnJuMBAke9h5PbNulThfGNBrDnaQ7NLdqTkurlrS0alli8r48ZR6JOYmo1WrsDOyKbBEqUBYw88RMLsZcZObxmWwbuK1MZTfT89OJyYzB1cy1RmdVX3SRd26TFheLtp4eXca+zumtP3L/yiV+/XguQ9/7GJlczu9ffkxWSjKWjk6M+PiLCu85l+voUqdx1eafEARBeF6IOu8VI4J3QRAE4YnMdM0Y4DyA/ff3M+fUHDb330wD0wbF2h24f4B99/chlUj5uuvXmOual6s/iURS6vJvEomk1In0dLR0qGNYp8TX5FpyVvdYzeRjkwlICmC693S2D9yOpd7Ta24HpQQx4/gM4rPjaWvTllmtZtHetn2pxiRUrtunCldgNPLsSqu+A7Gt35B9K78iJTqSHR/PRUffkMykRMzrODDqk8XoG5vU8IgFQRBeMCo1KEsZlKtE8P5f1bzJRBAEQXgWze8wn6YWTUnJS2Gq11TC08OLvB6aFsqXF78EYEbLGc9k8Pow6aeDkQNRmVG8efxNMvMzn3iMb6wvE49MJD47HoCrcVeZfGwyU45N4Wrc1eoYtvCPvOxsAi+dB8Ctex8AbBu6Mm7pauo0bkZ+Tg4ZSQmY2dkzauFX6JuY1uBoBUEQXkwPZ95L+xCKEsG7IAiC8FTG2sZs6L0BFzMXEnMSmXJsCpEZkUDhcvT3fd4nR5FDB9sOvNH8jRoebflZ6FmwofcGzHXNuZt8l1knZnE3+W6Jbb3CvJjuPZ2MggxaW7dmz5A9jGk0BplUxuXYy0w6OolpXtMISgmq5qt4Md27cAZFfh7mdRywc2mked7A1IxRC7+iw7BROLdux6iFSzA0K9+qEEEQBKGC1PxbLu6pj5oebO0jgndBEAShVEx1Tfmxz484mzgTlx3HVK+pxGbFssJ3BfdS7mGua87XXb5+5stNOhg7sL73evRl+vjF+zHqwCgmHJnAkdAjFCgLANhxZwfv+bxHgaqAng492dhnI65mrnzS8RMODz/MSNeRyCQyLsZcZKrXVM3MvFB1Hi6Zd+vRp1jeAS2ZjC6vTuTlDz/HyOLpWyEEQRCEKlLqwL0M9eBfICJ4FwRBEErNQs+Cn/r+hKORI1GZUbx66FV23dsFwJLOS7DSt6rhEVaOphZN2TZwGwOcBiCTyDS15/vu6cucU3NYenkpatSMaTSGVd1XoftI2Rs7Qzs+8/iMgy8fxMXMheTcZN73eZ8CVUENXtHzLSkygpige0ikUpp26VHTwxEEQRAeR1XGh1CECN4FQRCEMrHWt+anvj9hb2BPYk4iAJPdJj939dFdzVxZ3m05XiO9mNlyJlZ6ViTmJHLiQWEpsrdbv83H7h8/dqVBHcM6rOq2CgO5AX7xfvzP73/VOfwXyu3ThbPu9du0x8DUrIZHIwiCIDyO2PNeMSLbvCAIglBmdoZ2/NTvJ+adnkcdwzq81fqtmh5SlbHSt+LNVm8ytcVUTjw4wbHQY/Su15tB9Qc99VgnEye+8PyCeT7z2Oy/mZbWLenl2KsaRl12caH3Obl5A9mpKVg7N8DauQE2/3ytzVnZlQoFAWdOAv8mqhMEQRBqqbIshxfBezEieBcEQRDKxcHIgd8H/17Tw6g2cqmc/k796e/Uv0zH9XXqy7j4cWy/s52FZxfi+pIrDsYOVTTKslOplFw58Bfndm1HpVQAkBoXQ+DFs5o2pjZ29Jo6E6cWrWtqmI8VduMq2Wmp6JuY4ty6XZX0UaAq4FzUOc5EnsHZxJnRjUajo6VTJX0JgiA810TwXiEieBcEQRCEKja33VxuJ97mesJ15vrMZduAbUX2ydeU9MR4jny/isiA2wA0bO9By979SXgQRlzofeJDg0mJiSY1LoZ93yxm9MIlRTK51wYPE9U16dIDLVnlfqy5m3yXfcH7OBx6mOTcZM3z2wO283abtxnoPBCppOgOxFxFLscfHMcrzIsOth0Y13RcpY5JEAThmSaC9woRwbsgCIIgVDG5VM6KbisYfWA0d5Pv8uXFL5nUbBLmuuaY6pjWSIb+O+d8OPHTOvKys5Dr6NLj9Tdw616Yqd2pVVtNu7zsLA6uXkbYDT/+XLaIVxYtw6JO7Vg5kJ2WSoifLwBu3XtX2nnPR51n5dWVBKYEap4z1zWnp2NPzkSeITormgV/L2BbwDbmtZ1He9v2BCQH8FfQXxwOOUxGQQYApyNO0962PY3Ma9cND0EQhBqjAiRPbfVvW6EIEbwLgiAIQjWwNbDl665fM8N7Bvvv72f//f0ASJBgpmuGua45cqkcNWpUahVq1KjVarS1tHE1c6WJeROaWjSlkXkj9GR65R6HWq3mzK+buXLgTwDsXBox8K33MLW1K7G9jr4Bg+cuYPcXHxF7P4g9Sz7l1S9XYGReOSXXlAoFqXExpMREkxIdSUpMFNp6erTuPxgTa9snHhvw9ylUSiW2DV2xdKhXKeOJzozm3dPvkq3IRi6V092hO0MbDMWzjidyqZwcRQ7bA7az6fYmApICmOI1BTsDO2KyYjTnsDewx0THhDvJd1hxZQU/9vmxWPk6QRCEF1FZEtGJhHXFieBdEARBEKqJp70nX3T6gi3+W0jKSSI1LxU1apJzk4ssy/6vgKQA9rIXAKlESn2T+gyqP4jXm71e5ln7y3t3awL3jiNexWPEK0i1nnwObV09hn/4OTs//YCUmCj+XPIZYz5fhq6hYZn6flSw70XO7txKcnQkalXx6ZVrRw/SrHtvOg4fg7GVdZHXEh6EccPrcKUnqlOr1Sy6sIhsRTatrFqxttdaTHSKJuvTk+kxrcU0XnZ5mR9u/MAfgX8QkxWDXCqnl2MvhrsMp6NdR6IzoxmydwiXYi7xd9TfdK3btVLGKAiC8EwTy+YrRATvgiAIglCNhjUcxrCGwwBQqBSk5qVqgneFSoEECRKJRPM1Mz+Tu8l3CUgKICApgKTcJIJTg/nO7zuuxF1hWZdlxQLMx7nudZizO7cC0H3CNNoOGlrqcesbmzDy4y/5beF7JEaE89fyLxj5yZfItcuWuE2pKODvHb9w9dA+zXNyHV3M7OpgZl8HM7s6xATdJfzmNW6dOIb/6RM079mHdi+9TOz9QK57HSbqrr/mWDuXRjTp0r1MY3icfff3cT76PNpSbb7o9MUT31cLPQs+7vgx45uO517KPdrbtMdU11Tzel2juoxrMo7N/pv55so3eNh7IJfKK2WcgiAIzyyVGiSlDMpVInj/LxG8C4IgCEINkUllWOpZYqn35CXovev9u587Pjue0xGnWeG7gnNR5xhzcAyruq+iqUXTYsfdS77HgfsHUKqV2EfIiN99GoCOI14pU+D+kLGVNS9/9AW7PptP9L0Atrw3Cx19A1RKJSqlErVKCRIpTi1b06JnPywdnYocn54Qz8HVy4gJvgdA20HDaPvSMAzNLIotK4+868+F3b/y4PZNbngf4Yb3Ec1rEqkUl/YetOw7CIdmzStlSXp8djzLfZcDMKv1LJxNnEt1nKOxI47GjiW+NrXFVPYG7yU0LZQ9gXt4pfErFR6nIAjCM62KZ97XrVvHihUriImJoVmzZqxevZouXbo8tr2Pjw9z587F398fe3t7PvjgA2bMmFGkzZ49e1i4cCH379+nQYMGfPXVVwwfPrxM/arVahYtWsTGjRtJSUnB3d2d77//nmbNmpXp+qRPbyIIgiAIQm1hrW/N6Eaj2T5wO3UN6xKVGcWEIxPYG7wXKMx2fuD+AcYdHsfIAyPZErCFUz5/ELv7JKjV3KuXxXe6+1h8cTGJOYll7t/K0YlhHyxEJtcmLS6W+ND7JD4IIzkqQrNv/dqRA2x5/y12fDKPW6e8yM/NIfjKJbbOf5uY4HvoGBgw9L1P6D5hKkbmliUG33UbN2PUwiWM+exrHJo2B8DQzByPkWN54/vNDJ67AEe3FpUSuKvVar68+CUZ+Rk0s2jGhKYTKnxOAGNtY2a2mgnAuuvrSM9Pr5TzCoIgPLvU/wbwT3tQtuB9165dzJkzh48//phr167RpUsXBgwYwIMHD0psHxoaysCBA+nSpQvXrl3jo48+4p133mHPnj2aNhcuXGDMmDGMHz+eGzduMH78eEaPHs2lS5fK1O/y5ctZtWoVa9euxdfXF1tbW/r06UNGRkaZrlGiVteuzQTp6emYmJiQlpaGsbFxTQ9HEARBEGqttLw0Pjr7EWcizwCFe+r9k/xJy0sDQCaR0U/eEcuDUUgUKh7UzeNk81hNpl9XM1e29N+CoXbZ965nJCUSF3ofLS0tJFpamq+5GRn4+5wgxO8yKqUSKFwWX5CXC4BtQ1demj0fE2ubMvWXnZaKjoFhpZeDAzgSeoQPznyATCpj10u7cDVzrbRzK1QKRuwfQUhaCK83e5257eZW2rnL43n+nPXw2nrqv4JMol31HdYvecVFldGqxqSHyuoLD6o9KVlEzNPbVBKJUfnzgpRH6CSnaulHmZdL8IqPyvR75OHPZ2/nt5FJS7fdSqHK43jo/0rdj7u7O23atGH9+vWa55o0acKwYcNYunRpsfbz589n//793LlzR/PcjBkzuHHjBhcuXABgzJgxpKenc+TIv6u/+vfvj5mZGb/99lup+lWr1djb2zNnzhzmz58PQF5eHjY2Nixbtozp06eX6v0AMfMuCIIgCM8sEx0T/tfzf8xqNQsJEs5HnyctLw17A3veaf0Oe3vtoq53MhKFCufW7Vj59WEOjzjMN92+wULXgsCUQOacnkOBsqDMfRtZWNKwnTvOrdvh1KI1Ds1aULdxMxq278jQ9z7mjXW/0GXsJExt7TSBe5uBQ3ll0bIyB+4A+iamVRK4J+cms/RS4Ye6N5q/UamBOxRujZjXbh4A2+9sJzIjslLPLwiC8ExRqcv2oDDwf/SRl5dX7LT5+flcvXqVvn37Fnm+b9++nD9/vsShXLhwoVj7fv36ceXKFQoKCp7Y5uE5S9NvaGgosbGxRdro6OjQrVu3x47tccSed0EQBEF4hkklUma0nEELqxZ4hXnR07Ennew7oSXVYv/KJeRlZWHbwIXB736ITC7HQe6Ag5EDdY3q8vrR17kUc4lPz3/Kks5LKrWcmYGpGR2GjqT9kBFE3fVHIpFSp3Hxffk1bemlpaTkpeBi5sLU5lOrpI8udbrQ0a4jF2MustpvNd90+wa1Wo1SrUShUqBUK1GqlRhrP18z4YIgCMWoVYWP0rYFHBwcijz92Wef8fnnnxd5LjExEaVSiY1N0ZvDNjY2xMbGlnj62NjYEtsrFAoSExOxs7N7bJuH5yxNvw+/ltQmPDy8xLE9jgjeBUEQBOE54Gnviae9p+bfIX6+BF0+j0Qqpe+M2ch1dIu0b2bRjFXdV/HWibc4GHIQWwNbZreZXenjkkgk1G3iVunnrSiVWsUavzUcDTuKlkSLLzt9iVyrarLBSyQS3mv3HqMOjOJY2DFOhJ9AoVYUaWOmY8aZV85USf+CIAi1RjkS1kVERBRZNq+j8/hl9/+9Ca1Wq594Y7qk9v99vjTnrKw2TyOWzT/H8rKzyU5LrelhCIIgCNWsIC+XEz//ABRmdLf6T9b3hzrX6cxnHp8B8NOtn9h1d1eJ7VSlnSV5RmTmZzL75Gw23d4EwNut36aZRdky/pZVI/NGvNr4VYBigfvjnhMEQXjulGPZvLGxcZFHScG7paUlWlpaxWbZ4+Pji814P2Rra1tie5lMhoWFxRPbPDxnafq1tbUFKNPYHkfMvD+n0hMT+O2TeWSnp9N94lRa9R1UqcshBUEQaiu1Wk3c/SAe+N9E38QUizoOmNdxQEdfv6aHVm0u/rmL9IQ4jCyt8Bw59olth7sMJzY7lnXX17Hk8hJismLIU+YRkxVDdGY0sVmxpOSlYKpjipW+Fdb61tjo22ClZ4WOlg6ZBZlkFWSRXZBNZkEmKrWKma1mlli6rjaISI/gnVPvEJwajLZUm0WdFvFS/Zeqpe8PO3zIZLfJQOFe+EcfWhKtahmDIAhCjaqiUnHa2tq0bdsWb2/vImXcvL29GTq05NKoHh4eHDhwoMhzXl5etGvXDrlcrmnj7e3Nu+++W6SNp6dnqft1dnbG1tYWb29vWrduDRTulffx8WHZsmWlvkYQwftzKT83h73LvyAzJRmAkz//QPS9O/R54y20dfVqeHSCIAiVT61WE3s/kMCL5wi8eI70hLhibQzNzDGv44CdSyNa9O6PsaV1DYy06iVGhHPlwJ8A9Hx9BnJd3accATNazCAuK449QXs0s9H/lZqXSmpeKkEpQU89X3h6OHuG7EFbqxoyfpfBpZhLzPOZR1peGtZ61nzX8zvcLKtvSb9EIsHGoOzJ+gRBEJ4basoQvJft1HPnzmX8+PG0a9cODw8PNm7cyIMHDzR12xcsWEBUVBRbt24FCjPLr127lrlz5zJt2jQuXLjApk2bNFnkAWbPnk3Xrl1ZtmwZQ4cOZd++fRw/fpyzZ8+Wul+JRMKcOXNYsmQJLi4uuLi4sGTJEvT19Rk79sk32P9LBO/PGbVKxeH/rSQhPBR9E1Na9B7Apb92cfecD/FhIQyZ+xEWdR2efiJBEIRngFKh4MqBP7l54ijpCfGa52U6OtRr3pqC3GySoiLJSkkm85/Hg9s3uLzvDxp5dKHtoGHYNnCpwSuoXGq1muM/rUOlVNKgXUcatnMv1XESiYRPOn6CsbYxMVkx2BnaYWfw78NCz4KU3BTis+OJz44nLjuO+Ox4FCoFBnIDDOQGGMoN0Zfrs/7GesLSw9h0axNvtnqziq+4dApUBWwL2MYavzUo1UqaWzZndY/VWOs/nzdwBEEQaq0qmnmHwrJuSUlJfPHFF8TExODm5sbhw4epV68eADExMUVqrzs7O3P48GHeffddvv/+e+zt7VmzZg0jRozQtPH09GTnzp188sknLFy4kAYNGrBr1y7c3d1L3S/ABx98QE5ODjNnziQlJQV3d3e8vLwwMjIq0zWKOu/PmTO/bsZ3/x605HJGf7oEe9cmRN7159DqZWSmJCPX0aXP9Ldp0qlbpfarUiq5f+USdq6NMTQzr9RzC4IglCQ1LpbDa1YQE3wPKKwlXr9Ne1w9OuPcqm2RBG25WZkkR0WSFPmAO2dPE+F/U/Na3SZutH1pOA3atEcifbZTwdw+fZxj61cj09Hh9VXra2R1wdGwo7zv8z5yqZw9Q/bgbOJc7WN41Pno8yy7vIyQtBAABtcfzGeen6GjVbo6w8+b5/lzlqjzXolEnfdKIeq8/0tT5916KjJp6X4+Fap8jsf/9Fz+viovMfP+HLl9+ji++/cA0G/6O9i7NgGgbuNmjF+2hkNrVvDg9g0Or1lBZlIi7YeMeNLpSk2lUnJ47UrunT+DibUNE1asFcvzBUGoUgF/n+LEpnXk5+Sgo29A94nTaOTRuVhG9Yd0DQyxd22MvWtjmvfsS1zofa4e2su982eIvHObyDu3adlnAL2nzqrmK6k8ORnp+Gz/GQDPUa/V2LaAfvX6sa/OPs5GneXLi1+yqe+mGsm5EpkRyTdXvuHEgxMAmOuaM6fNHIY1HCZywDynHs5HKdQF1dOhsnit6aolgvdKoc6vtq4kqur9HlHm5VZLP6p/+inXHHAVzry/CMTM+3Mi8s5tdn/5CSqlgo4vj6HTmPHF2qhUSs7//iuX/vodiVTK2MUrK7xcVK1ScXT9agLOnNQ817r/YHq+Pr1C5xUEQShJXnY2Jzat487Z0wDUadyUgW+9h7FV+QLVjKRE/I7s58rBv0CtZsTHX+LUonUljrj6eG9cy80TR7F0dGLc0tVoyWru/nxkRiTD9w0nV5nL4k6LGdqw5GRBFaVWq8ksyCzcj5+bWmRf/q93fiVflY+WRItXG7/Km63eFHXUeb4/Z0VGRharBy0IQtWJiIigbt26pWqrmXm3nFy2mffEn5/L31flJWben3FqtZrwm9c49L9vUCkVuLp3wnPUayW2lUq16PzKBFJjY7h34W+OrF3JuGXfIdcu39JBtUqF949rCThzEolUSpuBQ7l68C+uHT2Ai7snDk2bV+TSBEF4RuVmZhIfdh+b+i4VzvBekJ9XuNw9IpzEiHDuXThLekIcEqkUj5Gv4j5sNFKt8mfpNrKwpNu4ySgLCrh29ADeG9cy8Ztnb/VQ4oMwbp30AqDXlDdrNHAHqGtUlxktZ7DabzXfXPmGrnW7YqZrVuHzqtQqglKCuBp3Fb94P67GXSUxJ/Gx7d3t3FnQYQENTBtUuG+h9rO3tyciIgIjI6Myra5IT0/HwcGhWC3pZ93zel0grq2mqdVqMjIysLe3L/uxSiVqtbJ0bVWla/ciEcF7LZAWH4tEKi3TEkdFQQF3z/lw9dBeEh+EAWBTvyH9Z7371D2bvabOJOquP8nRkfy94xd6Tir7LLlarebE5g3cOumFRCJl4FvzaNypG/nZWdw66cWxH75j4vK1pcpyLAjC8yE/J5urh/dx9eBe8rKzkOvo0sizKy1698O2getjP0wrFQrSE+NJi40hNS6W1LjCr8lREaTGxqD+T41xYytrBr79PnUaNam0sXd+dQLBVy6SnhDHuZ3b6DHpjQqfMys1haTIB1g6OqFvbFIJo3w8n183o1arcHXvRN3GVVuvvLQmNJvAwZCDBKcGs/LKShZ3Xlzuc4WkhvCd33f4xvmSkZ9R7HVdLV1MdU0x1Sl8mOma0a9eP3o69hRL5F8gUqm01LOAJXlYQ/p587xeF4hrq0kmJuX8u6b+t357qdoKRYjgvYZlp6ex9YO3USlVDPtgIfWat3pi+5zMDG54Heb6sYNkpaYAhUma3Hr0oeOIVx673/NReoZG9Jsxmz1LP+PakQM0aONOvRZP7vdRarUan20/ccPrEEgk9HtzNo3/SYDXbfxUwm5cIy0ulr93binXjQFBEJ4tBfl53Dh2iMv7/iAnIx0AbT198nOyuX3Ki9unvLCq50yLXv2xqOtAcnQUKTGFj+ToSNLi41CrVI89v66hEZaO9bB0qIeVozONPLugo29QqdegratH32lvsWfpZ/gdPYCrR5cy3RxQKgqIuhtATHAgcfeDiL0fREZSAgByXT06vjyGNgOHIvunbmxlCrvhR9j1q0i1ZHQeO7HSz19ecqmczzw+Y/yR8ey7v4+hDYfS3rZ9mc9zMOQgX1z4ghxFDgD6Mn1aWbeijXUb2ti0oZlFM/TlFVvhIQiCIFQTtZpS14ATwXsxInivYQE+J8jPKfxAsnfZFwx9/xOcWrYpsW34zescWrNc8+HY0NyC1v0H06JXf3QNy5bN0qlVW1r2HcQNr0Mc/WE1E1esRdfgyedQq9VEB97l+rGD3D3nA0CfaW/RrFsvTRsdfX36vvGW5saAa4dO1G1afTV0hRdXamwMMh0dUe2gmt0+5c25XdvITEkGwMyuDp6jxuLq0Znoe3e4eeIYgRfPkhAeyomf1z/2PDJtHUysbTC1tcPUxhYTGzvM7Opg6VAPA1Ozapk9dWrVlmbdeuHvcwKvH75j/LI1yLSfvi8vJyOd3Ys/ISEspOgLEgn6xiZkp6Xy945fuHXiGN0mTKVB2w6Vdj0qlVKTpK5Vv0GY2ZZ9CWNVamXditGuo/k98Hc+O/8ZP/b9kTqGdUp1bJ4yj68vf80fgX8AhUvg323zLo3MGyGTio8vgiAIzySVCiSPv2FfhLqU7V4g4q9fGQT7XiQp8gFqlQqVSoVarUKtUqElk9OgnTvWTvXLdD61Ws3NE8cAMLK0IiMxgb0rvmToe5/g3Krtv+1UKi7v+4Nzu7ajVquwqOtIh2GjaOTRGS1Z+Wdxur32Og9uXSMlJpqTP//AwLffK7FdWnwsAWdOEXDmJKlx/5bX6Dl5Bi169SvW3qlVW9x69OX2qcLl8xNW/K9UKwIEoayUCgXBvhe57nWQyIDb6BgYMHbxSszty79sUii9gL9PceyH74DCpeweI16ladeemj3odZu4UbeJGz0mvcGdMyfx9zlJfk42ZvZ1MLOrg7l9Hczs6mJmb4+hqXmtKNPWbcJUQq9fJTk6kkt/7Sox+eejcrMy+eOrhSSEhaBrYIhji9bYNnDBtoELNs4NkOvocufsac7s+IXUuBj2rfiSei1a0338FCwdnSo8Xn+fEyQ+CEPHwICOI16p8Pmqwuy2szkdeZqIjAhGHxjN0i5L6Vq36xOPiUiPYK7PXO4m30WChOktpzOjxQy0pOXPbyAIj6Ojo8Nnn32Gjs7zVT7web0uENf2TBMz7xUiss2XUkzwPXZ8PO+JbaydGtCse2+adO6GntHTxx7hf5Pfv/gIua4e09Zu4tgPa7h/5SJaMhlD5n1M/Tbtyc3K5Oi6b7l/5RIAbj360mvyjFLNBpXquoLu8dun76NWqeg/810sHeqRFh9LalwsaXGxJESEERN4V9NerqOLa8dOuPXs+8R9lXnZWfzy3iwykxJpM3AoPSZOq5TxCgIU7iW+efwoN48f0cz4PmRmZ8/YxavKvBrlRXTu91+5ffIYrfoPpu2gYWVa0p0UFcGvC96lIC+XtoOG0vnVSVWyJLwmBF46x4FVS5FqafHakm8fe2M2LzubP776hNjgQPSMTRjz2VIs6pZc9zk/J5tLe3dz9eBfKBUKAIwsrLBr6IrtPw+b+g3LlCgvPzeHn+dMJyslmW7jp9DupeFlv9hqEp0ZzXs+73Er8RYA05pPY2armcVm0DPyMzgWdoyVV1aSWZCJmY4ZX3f5Gs86njUx7OdSbf2cJQjC8+3h756e+q8gk5Qy27w6n5PZO8Xvq0eI4L2Ujv3wHbdPeWPlVB/bBi5IpVIk/zwyk5II8bus+UCmJZPRoF1H2g8Z8cRSbIfWrODuOR9a9OpPnzfeQqko4NB3Kwi6fB6ploxu417n2rGDpMbGoCWX0/P1kme6K+rc79u5uGfn4xtIJDi6taRZ1564dPAsdRK60OtX+XPpZwA4tWxDi979adDWvUKZoQXh7vkzHFm7CpWy8OdN38SUFr360bC9B/tWfkVGYgL1WrTm5Q8/F99rTxDw9ymOrF2p+bepjR3dxk+hQTv3py7pLsjPY8fH80h8EIajWwtGfPwl0udsRnT/yiUEXT6PVT1n+s2YjU39hkVez8/NYc+Sz4i+F4CuoRGjP12CVT3np543NS6WM9t/Jsj3QrEZBYlESiPPLvSeOrNUe/rP797BhT92YGJjy6SV62v9zZN8ZT7fXPmG3+7+BkAH2w4s67oMHS0dTkecxivMi3PR5yhQFdbobm3dmuVdl2NrYFuDo37+1NbPWYIgPN80wbvemLIF7zm7xO+rR4jgvRTysrP4YcYEFHl5vLJoOXUaNy3WJicjnTtnffA/fZz4sPtA4R7OSSvXYWJtU6x9dnoaG9+ciFKhYNzS1ZoPhkqFgsP/+4bAi2c1bY0srRgy96MK12R/HKVCwe4vPyLqbgD6JqaY2Nhial2459TUxhaHZi0wtrQq17nP7PgF3/17NB9SDc3McevZl+Y9+5Ypu/6zJP6ffa9l3UYhPF1Bfh6b3p5KVmoKdg0b0XrAYFzcO2mClviwEH779H0UeXlixccTxIXeZ+fC91EU5OPq3omowDtk/bOCoV6L1vSYOO2xM8jwbz1xfRNTJiz/HwamFS8BVttkpiTzy7w3ycvKAsDKqT7Ne/ShSeceaMll/PX1IiICbqFjYMCoT74qFtw/TX5ONnEhwcQEBxIbHEjM/UAykwpLnpna2jH43QVP/B2SmZLMptnTUOTl8dKcD2nk0bn8F1vNjoYe5bPzn5GtyMZY25gcRY4mYAeob1KfIQ2GMKHZBOTS2n1D4llUGz9nCYLw/NME7zqjyxa85/0ufl89QgTvpXDd6zAnNq3Doq4jE7/5/qmzUvFhIRz/8Xtigu9Rv017hn3wabFjrhz4E5/tP2NTvyHjlq4u8ppKqeTI96u4e86Hei1aM/Dt96q8zJBapUJRkF8le9NT42K5deIot08fJzstFSicYbJzaUSdxk2xb9SUOo2alGqrQW2myM/n7M4tXD20D4lUytjFK6vshsuL6uqhfZze+iPGVtZMXr2hxJwPD5c8A/Sd8Q7Ne/St7mHWajkZ6Wxf8C7pCXE4t2rLsPmfosjP5/Le3Vw58CdKhQKJVEqLXv3oMHQUxlZFb7LdPefDoTUrQCJh5EdflqlSxbMmPiyEy3t3E+x74d+VVXI5xpZWpMREo62nx8hPFmPXsFGl9BcdeJeD3y0jIzEBmVybnpNn4NajT7G/H2q1Gq8Na7h9yhs718a8+sWKZ64cWkhaCPNOzyM4NRgoDNj7OfWjb72+NDQr240QoWxq4+csQRCef5rgXXsUMknpbswq1AWczN8tfl89QgTvT6FWq9k2/x0SwkPpMXEabQYOLdVxSZER/5SAUzBk7ke4uP+7X0+tVrP53RmkxETR5423aNGrf4n9psXFYmJtUyuSOFUGpaKAYN+L3Dx+hAe3bxZ73byOA04t2+A56jV09J+tsj+JD8I49L9vSHwQpnnOoq4j45aurrT8BC+6R2fdH/dz89DD5cRSLRmjP12iWS1TkJtL8j8lykysbLBzqZyg61mhUin5c+nnhN+8hqmNHa8t+bZIboDUuFh8tv1EsO9FAKRaWjTt2gv3YaMwtbUjJSaKbR/OoSA3h44vj3lqMrfnReHKqtPcPulFwj8/43IdXUZ89EWJK7Eq2teR71cReu0KAE279qT3lJnk5+bw4PYNwm9d58GtG5oydK9+uQJ718qrd1+dsguyOfHgBE3Mm4iAvRrVts9ZgiC8GB7+7ukhG1mm4P2U4g/x++oRZQre169fz/r16wkLCwOgWbNmfPrppwwYMAAoDDgXLVrExo0bSUlJwd3dne+//55mzR6f2Oy/atsfldjgQH79eC5acjnTf9iKnqFRqY89u3Mbl/7ahaG5Ba+vWo+2XmFA+miiuhk/bNE8/yJJi48j8s5tou4FEHU3gOSoCM1r9du0Z+j7nzwTe2jVKhXXjh7gzI5fUBYUoG9iSvfxUzi9bRPZaam0G/wy3cZNLtM5M5ITCfa9iJldHRybtai0fdtZqSmc2f4zesYm1GveijpNmpUpOVZNK82s+0NqlYqDq5cReOkcekbGWDnVJyU6ShPwPNS8Z1+6T5ha638GI+/6ExsciKt7p2Iz4WXx945fuLzvD2Q6OoxdvBKrx2Q7jwi4xcU9v2luskmkUpp06kZCRDgJYSHUbeLGqIVfvXA5BdRqNXEhwQT7XqRhO3dsG7pWTT8qFZf37+Hczm2o1Sp0DAw0y/cf0pLJaD9kxAtzA0WoPLXtc1ZNW7duHStWrCAmJoZmzZqxevVqunTpUtPDqpClS5fy559/cvfuXfT09PD09GTZsmU0avR83bBeunQpH330EbNnz2b16tU1PZwKi4qKYv78+Rw5coScnBxcXV3ZtGkTbdu2ffrBzwBN8K71ctmCd+Wf4vfVI8pUKq5u3bp8/fXXNGxYeId8y5YtDB06lGvXrtGsWTOWL1/OqlWr+OWXX3B1dWXx4sX06dOHe/fuYWRU+qC3Nrl54igArh07lylwB3B/eTR3z/uQFhfL+d2/0n3CtH/OWVgerkmnbrU+aKgqJtY2mFjbaGrEZ6enEX7rOl7rvyPEz5e/d2wpc9Bb3VJiozmxaT3hN68BhTcd+k5/BwNTM+R6+uxb8SVXDv5Fw3YdSzU7l5uVie++P/A7cgBFfh4AukbGuHTwwLVj5woF8nnZWexZ8ikJ4aEAXD20F6mWDDuXRtRr3or6bdqXec/u06TFxxJ7P4iG7TtWqKQhFM66++7/p9bz8NFPPZ9EKqX/zHdJiYshISyEB7eua17TMzLG2MqGuNBgbp304sHtGwyYNa/SZ1Arg1Kh4Pzv27n8T94In+0/U695K9y696Zhe49iqzrUajVZqSlkp6WiJZcj19ZBSy5Hpq1D2A0/Lu8rfA/7TX/nsYE7gEPT5jg0bU7UvTtc/HMnYdevEvD3KaDw/Rv4znsvXOAOIJFINGXgqrQfqRT3YaOwd23Moe+Wk5WaAhIJ1vXq49i8ZeHNt8ZNRQlOQaigXbt2MWfOHNatW0enTp3YsGEDAwYMICAgAEfHx+f9qO18fHyYNWsW7du3R6FQ8PHHH9O3b18CAgIwMHh6Msxnga+vLxs3bqRFixY1PZRKkZKSQqdOnejRowdHjhzB2tqa+/fvY2pqWtNDq3RqlRq1pHRzx7VsgXitUOFl8+bm5qxYsYLJkydjb2/PnDlzmD9/PgB5eXnY2NiwbNkypk+fXqrz1aY7wnnZ2WyYMYGCvFzGfP41dZu4lfkcDzOuSyRSXlv6LUYWliUmqhMK3Tnnw+E1KwDoP/NdTXBfWgX5eeRlZRUGLHI5WnJ5pc/gJz4I49Le3dw7/zdqtQqZXJtuE6bSss+AIvtOj677Fn+fE5ja2jFh2f8em6VfkZ/P9WMHufTX7+RmZQKFybEyk5PISU/TtNM1MsaxaXN0DAyQ6+qhrauLXFcPHX196rftgJG55WPP/+fSz4gIuIW+iSn123Tgwe3rpCfEF2nX8eUxeI56rcLbNAry87i89w989/+BsqAAm/ouvDRnPqY25c8YXZZZ90dlpaZw+5Q3BqZmmNnXxdy+jia3QkTALY58v4qMxAQkEinth7yM5+jXKnyjobKkxsVyaM1yYoMDAbBydNIs2QbQMTCgcafu6OjpkRobQ0psNKmxMRTk5T7xvG1fGk738VPKNJaY4Htc/HMXscGBDHzrved6n3ttk5uZSXzYfSwdnao894nwYqhNn7Nqmru7O23atGH9+vWa55o0acKwYcNYunRpDY6sciUkJGBtbY2Pjw9du3at6eFUWGZmJm3atGHdunUsXryYVq1aPfMz7x9++CHnzp3j77//rumhVJmHv3s6MxAZpZx5p4CzHBa/rx5R7uBdqVSye/duJk6cyLVr19DV1aVBgwb4+fnRunVrTbuhQ4diamrKli1bSjxPXl4eeXl5mn+np6fj4OBQK/4n3fA+wvGfvsfcvi6TVq0vd0KgA6uXEXjhb2wbuuLSwZO/d/xSYqI6odC5Xdu4+OcutGQyRn26lDqNnr6fU61W43/6OKe2bCQ/J6fIaxKpFCMLS/q/OQeHZuW/Qxt7P4hLf+3S7AcGcG7djm7jpmBR16FY+9ysTLa8/xaZSYm06vcSvSbPKPJ6QV4ud86e5uKeXZrl3BZ1Hen86kQatO2AWqUiIuAWgRfPEnTpPDkZ6Y8dm46+AT1fn06TLj2KfJ+qVEoOrV5O4KVzaOvpMfqzr7FxbqDJqRB+6zqh169y/0rhNbm6d6L/rHfLNaOnVqu5f/Uyp37ZSHpCHABSLRkqpQJtPX36Tn+nXBmxy7LXvazysrM49ctG/H1OAGBVz5kh8z6u0I2GynDnnA/Hf1xLfk4OOgYG9H3jbVw7diYtPpbbp0/gf/p4sS0AD0kkUvSMjVEpFCgKCjSrOKDw/++g2R+8kLPmgiAUEsF7ofz8fPT19dm9ezfDhw/XPD979myuX7+Oj49PDY6ucgUHB+Pi4sKtW7dwcyv7RFRtM3HiRMzNzfn222/p3r37cxG8N23alH79+hEZGYmPjw916tRh5syZTJv2/FTNyc3NxdnZmdjY2DIdZ2trS2hoKLqlLFX9vCvTsnmAW7du4eHhQW5uLoaGhvz11180bdqU8+fPA2BjU7Qsmo2NDeHh4Y8939KlS1m0aFFZh1EtHi6Zb9G7f4Uy+faYMJWw61eJDQ4k4Z8yYi16V14A8rzxHPUaiREPCPa9wP6VX/HaklVPLCuXm5mJ949ri5TXe5RapSI9IZ4D337NuK9Xl7lEXXZaKsc2rCHk6uXCJyQSXDt40mH4aGycGzz2OF0DQ/pNf4c9Sz7l+rGDuHTwwNGtJcnRkdzwOoz/mROafayGFpZ4jhpLs669NIGVREuLes1bUa95K3pNfpOIgFskRYSTn5tLQW7OP19ziQ+7T0J4KEe+X0Ww70V6T5uFvrEJarWak5s3EnjpHFoyGUPf+0QzXolEgqmtHaa2drTsM4Dbp4/jvXEtgZfOkZYQz7D3P8HQ3KJU749apSI5Jooz238mxM9Xcz09JkzFtqErh75bQXTgHQ6u/poI/4F0nzC1TEn8bnofJSs1BWMr6zKvxHgaHX0D+s98lwbt3PHeuJaE8FAO/29FYfbuGkgUqcjP5/hP6/D3OQ5AncZNGfj2e5rvWRNrWzqNfg2Pka/w4NYNAi+eRSqTY2Zrj5mdPaa2dphY2xRZPaBWq1EqFKgUBS/sNh1BEIT/SkxMRKlUlvi5tazBRW2mVquZO3cunTt3fi4C9507d+Ln54evr29ND6VShYSEsH79eubOnctHH33E5cuXeeedd9DR0WHChAk1PbxKoaurS2hoKPn5+WU6TltbWwTujyhz8N6oUSOuX79Oamoqe/bsYeLEiUXuTpZU0uZJge+CBQuYO3eu5t8PZ95rWlxIMPGh99GSyWjatWeFzmVobkHnV8ZzcvMGlAoFcl09Gns++8uWqopEKmXAW3PZ+ekHJISHsnf5l7zyxfISk6tFBtzm8NqVZCQlINXSwnPUa7QfOgLUoCjIR1lQQEFeHvtXfkVcSDAHVi1lzKLlmrrgTxN1rzDozExO0iTt6jBsdIkz7SVxatmGln0GcMP7CEfXrcbMzp4Ht29oXjextqFVv5do2Xcgcm2dx55H+kgg/18qpZLL+/7gwh87CLp8nqh7AfR5420Sw0O54XUIJBIGvDUPR7eWjz2/W/femNrYsm/lEuJCgvj147kMe38hNvUbavZRJ0U8ICkynJTYaDKTk8lKSSYzJZms1GRUSuU/45TR7qVhdHz5Fc02gdGfLeX87l+5vHc3N7wPEx14h0GzP8CiztPfw7LudS8vlw6e2NRvyC/zZhETdI/bp4/TvGf1lphTFBSwb+VXhF2/ikQipeOIMXR8+ZUSZ8mlUi2cWrbBqWWbp55XIpEUfr+X8nteEAThRVLWz63PmrfeeoubN29y9mzJExzPkoiICGbPno2Xl9dzF8ypVCratWvHkiVLAGjdujX+/v6sX7/+uQneoTCAf97+31W3Mgfv2tramoR17dq1w9fXl++++06zzz02NhY7OztN+/j4+GJ3NR+lo6ODjs7jg5aacvN44ay7i3unSqk/3rLvQPx9ThIXEvRCJ6orLW1dPYa9v5BfP55LQngom+dMx8KhXuHsok3hLGN04B0u7d0NajWmtnYMevv9ItmftbX0QFcPPSMY/O4Cti+YQ+z9IE5v2UjvqbOe2L9arcbv8H7O/PozKqUSM/u6DHn3QyyfkOTrcbqOm0zYDT/S4uMKlzpLJNRv055WfQfh1KJ1hWd4pVpadHx5DM6t23Fk7UqSIh+wb8WXmtd7TnqDRh5Pz5xbt4kbry1eyV/LvyA5KoKdn8/HxrkhSZEPyM3MePLBEglOLdvQfcLUYkG5lkxGl1cn4tDEjcPfryIhPJRtH7xN+6Ej6TB05BOX6FflrPt/GVta4zlqLD7bNnFmxy80bN+xUn72S0OpKODAqiWEXb+KTEeHYe8vLPFGjSAIglA5LC0t0dLSKjbL/rTPrc+St99+m/3793PmzBnq1q1b08OpsKtXrxIfH18k+7pSqeTMmTOsXbuWvLw8tJ7RbWF2dnY0bVo0cW6TJk3Ys2dPDY1IqK3KHLz/l1qtJi8vD2dnZ2xtbfH29tbsec/Pz8fHx4dly5ZVeKDVKT8nmzvnClcTVNbydqlUiyHzFnDrpFepa8W/6IytrBky72P+XPopmf/M8j7M7P6oZt160/P1N554Q8TE2oZBb7/Hnq8/54b3EexcGj82GMzLzsbrh+8IvHQOgEYeXeg7/e1y33DR1tXjpTkf4rNtE/aNmtCiV39MrCv/g4GNcwPGLV3Nud+3c+XgX6BW4z58DK37Dy71OUxt7Ri7+BsOfPs14TevEXXXHyjcR21qa4tFXUfM7etiZGGFgbk5hmbmGJpZYGBq9tR91E6t2jJh2RqO/fAdYTf8uLhnJwFnTtFj0hs0bOdepG1qbAx3z5/h6qG9QNXOuj+qdf/B+J8+TmJEOGd/20qfN96q8j6VCgUHVy8jxM8XmVyb4R98+sRVEoIgCELFaWtr07ZtW7y9vYvseff29mbo0Gf7c5parebtt9/mr7/+4vTp0zg7O9f0kCpFr169uHXrVpHnXn/9dRo3bsz8+fOf2cAdoFOnTty7d6/Ic4GBgdSrV6+GRiTUVmVKWPfRRx8xYMAAHBwcyMjIYOfOnXz99dccPXqUPn36sGzZMpYuXcrmzZtxcXFhyZIlnD59ukyl4mpDIpWbx4/i/eNazOzq8Pq3PzxXy6eeRblZmSSGh/2TTTu68GtMNEqlEo+Rr5ZpC8KFP37j/O5fkcm1eXXxN1g71de8lpedTej1K5z//VdSYqKQasnoNn4Krfu/9Mx9D8TeDyI9IQ4X907lGrtKqSTw0jlUSmVhwF6n7hOX9ZeFWq0m6PJ5Tm35kcykRKCwzF7Hl18hOvAOd8/5EHs/SNPeoq4j45d9V21Z4CPv3GbX5x+CRMLYxd9g17Dq6uKqlEoOfVeYUFBLLmfYB5/i1KL10w8UBEEop9rwOau22LVrF+PHj+eHH37Aw8ODjRs38uOPP+Lv7/9MB00zZ85kx44d7Nu3r0htdxMTE/T0im9BfJY9LwnrfH198fT0ZNGiRYwePZrLly8zbdo0Nm7cyGuvvVbTwxNqkTIF71OmTOHEiRPExMRgYmJCixYtmD9/Pn369AEKP5QvWrSIDRs2kJKSgru7O99//32ZEmTU9B+VvOxsfnlvJplJiXQbN5l2g1+u9jEIVUetUvHX8i8IvXYFE2sbhs//jMg7twn2vciD2zdRKRUAGFlY8dKc+di7Nq7hET+/CnJzufjnTq4c3Kt53x+SSKQ4Nm9JI88uNOrYudq3mRz5fhUBZ05i7dyA15asqvRyg1AYuB9eu5J7589oEgo6t25X6f0IgiA8qqY/Z9U269atY/ny5cTExODm5sa33377zJdTe9xN+82bNzNp0qTqHUwVe16Cd4CDBw+yYMECgoKCcHZ2Zu7cuc9VtnmhclS4zntlq+k/Kt4b13LzxFFMbGyZuHztY2tzC8+u3MxMti+YTVp8XLHXzOzr4tK+I21fGi5qKleTpKgITv2ykQe3bmDfqDGNPLvi6t4JA1OzGhtTVmoKm9+dQV52Fr0mv0mrfoMq9fxqtZpj67/D3+c4Ui0ZQ+YtoEFb96cfKAiCUEE1/TlLEARBKD8RvD8i/NZ1/lj8CQCjP11SoZrgQu0WF3qfXZ/NpyAvFzuXRjRs70GDdu6lyoAuVA21SlUj5dke59qxg5z8+Qd0DAyY/O0G9E1MK+3cF/fs5Nzv25FIpQx+90NcOnhW2rkFQRCeRATvgiAIz64KJ6x7XuTn5uC14X8AtOw7SATuzzkb5wZMWfMjQI3O8Ar/qk2BO0DLPgO4fcqb+ND7nN62iQGz5lZK7oN7F/7m3O/bAeg1+U0RuAuCIAiCIAilUrs+Ldegv3dsIT0hDmMra7q+NqmmhyNUAwNTMxG4C48llWrRe8pMkEi48/cpfl+0gMQHYRU6Z0zwPY5+/y0AbQcNpWWfAZUwUkEQBEEQBOFFIIJ3IDLgNtePHQSg7xvvoK37fGXiFAShfOxcGtFr8pvIdHSIvHObbR/Oxmf7z+Tn5pT5XOmJ8exd/iWKgnzqt2lP13GTq2DEgiAIgiAIwvPqhQ/eC/JyOfbDdwA079WPei1a1eyABEGoVVr1Hcjrq9bTsL0HKqWSKwf+ZPPcNwm8dI7SpgzJz8lm77IvyE5LxcrRiUHvvF8lGewFQRAEQRCE59cLH7yf27WN1LgYDC3+396dh0dZ3vsf/0xWIJFVULC4oGxCEH4QIBAakMVaUEJFI9ULRQVtRbSt1R5liUUvsWi4BGvFvVJbQMsiRqMUKx7a8JOCTRCjAQ07EkIwC5xAkvmePzgZSUGBh2HuSfJ+/SPM84z5Pp/rG2buZ7nvc5XClTAAJ9D03DYaff/DGvPgDDVrc57K9xdpRcbjWpT+G+34bOP3vreyokKZc2dr3/atatKsuVIfnB7ype8AAABQ9zXoCet2fZGn9e+8JUkaMXGyYpvEOa4IQDjr8P8S1b57D3287A2te+uv2vX5Ji1+5L90YfcrNDDtZrXr1FXS0aXgdn3xmTZ9uEr5a/9bR/7nfxQVHaPUB6ap6bltHB8FAAAA6qIGPXiPio5Wqwva6/xLO+qSXn1clwOgDoiOidXAG25Wj6E/0v9fukgbP1ip7Z/maPunObqkZ2+df1ln5a35u775ek/gPc3OO19XTrhTbS/r7LByAAAA1GUNfp33qspK+asquY0VgCclhXu1dslCbVq9Sub3B16Pjm2kTknJ6j54mC7o0i0oy8wBwJlinXcAqLsa/OAdAILhwNe7tW75mzr4zQF16p+sjv0GsHIFgLDD9ywAqLsa9G3zABAsLc5vpxF3TnFdBgAAAOqpBj/bPAAAAAAA4Y7BOwAAAAAAYY7BOwAAAAAAYY7BOwAAAAAAYY7BOwAAAAAAYY7BOwAAAAAAYY7BOwAAAAAAYY7BOwAAAAAAYY7BOwAAAAAAYY7BOwAAAAAAYY7BOwAAAAAAYS7KdQH/ycwkSaWlpY4rAQAAqF9qvl/VfN8CANQdYTd4LysrkyS1b9/ecSUAAAD1U1lZmZo1a+a6DADAafBZmJ169fv92r17t8455xz5fL6z/vNKS0vVvn177dixQ02bNj3rP68+IDM3yP30kVnwkKU35OYGuX83M1NZWZnatWuniAiengSAuiTsrrxHREToBz/4Qch/btOmTfmAP01k5ga5nz4yCx6y9Ibc3CD3E+OKOwDUTZxyBQAAAAAgzDF4BwAAAAAgzDX4wXtsbKxmzJih2NhY16XUGWTmBrmfPjILHrL0htzcIHcAQH0UdhPWAQAAAACA2hr8lXcAAAAAAMIdg3cAAAAAAMIcg3cAAAAAAMIcg3cAAAAAAMJc2AzeDx48KObOOz1k5ga5e0NuwUGO3pCbG+QOAEDwhMXgvbq6Wrfffrt+/OMf6/nnn3ddTp1AZm6QuzfkFhzk6A25uUHuAAAEV1gM3r/55hv17NlTw4cP16xZs5ScnKzNmze7LiuskZkb5O4NuQUHOXpDbm6QOwAAwRV267yXl5dr7Nix6t+/v9LT012XUyeQmRvk7g25BQc5ekNubpA7AABnLiyuvNecP6iqqlJ8fLwGDRqkV155ReXl5bW241tk5ga5e0NuwUGO3pCbG+QOAEBwOR+8m5l8Pp8kKSoqSpK0du1ade7cWfHx8ZIU2F5UVOSmyDBDZm6QuzfkFhzk6A25uUHuAAAEX5TrAmo+vHfv3q1Vq1Zp4cKFWrNmjd599135/X5FREQoMzNTixcv1pdffilJysjIUN++fV2W7RSZuUHu3pBbcJCjN+TmBrkDABB8zp55Ly0tVW5urrKysrRu3Tpt2rRJMTExGjt2rK655hoNGjRIkrRy5UrdcMMN6t27t9LS0vT5559rwYIFWrhwoa688koXpTtDZm6QuzfkFhzk6A25uUHuAACcPU4G70eOHNF5550nSfrRj36kxMRE9enTR8nJyYqI+PZO/oKCAqWkpGj48OHKyMhQs2bNVF1drdTUVHXp0kWzZ88OdenOkJkb5O4NuQUHOXpDbm6QOwAAZ5eT2+ZLS0t1+eWXKzs7W8OHD9dtt90W2FZzO50kPf300/L7/ZozZ46aNm0qM1NkZKTi4+O1cePGwHvKy8tVVFSkiy++ONSHEjJk5ga5e0NuwUGO3pCbG+QOAMBZZg698cYb1rp1a+vSpYtlZmbW2rZ3715r0qSJvfTSS2ZmVlVVZWZme/bssf79+9tDDz1kfr/fSktLLT093ZKSkuyaa66xjRs3hvw4QonM3CB3b8gtOMjRG3Jzg9wBADg7nM42P3bsWBUWFuq6667TmDFjtGTJEvn9fknSn/70J7Vp00apqamBs/KSlJmZKTNT165d5fP5dM455ygxMVG/+tWvdMEFF2jQoEHKyMiQmdXLZWjIzA1y94bcgoMcvSE3N8gdAICzJDTnCE6urKzMtm/fbmZmfr/fHnnkEevfv7+VlpYG9tm0aZONHj3aRo4caeXl5Sf8//zxj3+0xMRE27dvX0jqdonM3CB3b8gtOMjRG3Jzg9wBAAge5+u814iPj1f79u0lHV1ipnv37iouLtbhw4cD+8yaNUv79+/XxIkTFRcXFziTf6xu3bppx44d+uijj2q9bvXwTD2ZuUHu3pBbcJCjN+TmBrkDABA8ztd5/y6JiYlq2bKlhg8frquvvlp/+9vftHPnTs2cOVOjR48O7FdZWano6GhJUllZmfLy8lRYWKiePXsG9jEzffPNN/L7/WrVqlWoDyVkyMwNcveG3IKDHL0hNzfIHQAA75yt836qpk6dqpycHHXs2FG33nqrevTocdw+JSUleuedd/TKK69o27ZtGjNmjGbNmiVJ2rVrl6ZMmaKtW7eqqKhII0eO1O9//3v5fL5QH0rIkJkb5O4NuQUHOXpDbm6QOwAApy/sB++SVFVVpaiob28SOHjwoDZs2KClS5dq3bp12rZtm5o3b67evXtr4sSJSkpKks/n0yeffKKJEyfK5/Np/PjxSkhI0P33369evXrp+eefr9cf8mTmBrl7Q27BQY7ekJsb5A4AwGkK9UP2Z2rv3r121VVXmc/ns+uuu84yMjIsJyfH/H5/rf22bdtmEydOtIsvvthKSkoCrz/33HPWrVs327t373Hvqa/IzA1y94bcgoMcvSE3N8gdAICTC5sJ605VmzZtNG7cOLVs2VJ79uzRqFGj1KNHD/l8PlVWVgb2W716tT788EOlp6eradOmgclx+vXrp61bt6qkpKTBnJ0nMzfI3RtyCw5y9Ibc3CB3AABOrs4N3iXplltuUWFhoTp16qQuXbro1ltvVVFRUWBym0OHDikzM1Nt27bVLbfcIkmBtWQXLFigiy66SB06dHBWvwtk5ga5e0NuwUGO3pCbG+QOAMBJuL70f6a2bNli3bp1s7Fjx1p1dbWZmR04cMAaN25sy5YtMzOzQ4cOmZlZQUGBdejQwdLT0+3w4cPOanaNzNwgd2/ILTjI0Rtyc4PcAQA4XtguFXeqLr30Un366acqKSlRRMTRGwny8vLUpEkTtWvXTpLUuHFjSdKMGTPUunVrXXXVVYqJiZEkVVdXKyIiotZtdmVlZSoqKpLf79ell14a4iM6+8jMDXL3htyCgxy9ITc3yB0AgBNwffbgbKioqLCkpCSbM2dO4O8LFiyw+Ph4e+6558zM7JlnnrHi4uJa76uqqrLs7Gzr2rWrde/e3Vq0aGFpaWlWXl4e6kMIOTJzg9y9IbfgIEdvyM0NcgcANHT1bvBeM8tsRkaGNWrUyNLS0mzgwIF2zjnn2MyZM628vNwOHz5sI0eOtObNm9ujjz4aeO/rr79uvXv3tuHDh9s//vEPW79+vaWkpNh9991Xr2evJTM3yN0bcgsOcvSG3NwgdwAA6uHg/Vi5ubk2adIke/TRR2358uXHbV+2bJn16dPH/vKXv9i2bdssJSXFbrzxRtu3b19gn8cee8y6du3aYM7Qk5kb5O4NuQUHOXpDbm6QOwCgoarXg/cTqZn4pkZFRYWZmU2fPt2SkpLs7bffrrXf4sWLrWPHjvbVV18F3rN582bbs2dPiCp2j8zc8Jr7li1bzOzoesgrV6607du3h7Bq98gtOM70976srMxWrVplBQUFoSs6DJCbG8H4nAIAINzVyaXizkTNxDc1YmNjtXnzZmVnZysxMVFXX321JMnMJEnvv/++4uLidMkll0iS9u3bp1mzZmnkyJH6xS9+UWv92fqKzNzwknt8fHxgIqaXXnpJ8+bN06BBg3TnnXcG1kOu78gtOM70937nzp1aunSpkpKSNGnSpAaTI7m5caa5S1JVVVXgzzX7AQAQVtydNwgfmzZtsjZt2ti7775rZkcntzE7ulRNTEyMvfbaa2Z29Jm7iooKW7lypT355JPm8/nsjjvusIMHDzqr3RUyc+NUczc7uozSxo0b7cMPP7ShQ4dav379bMeOHU7qdo3cguN0cqyurratW7dadna2XXnlldalSxfbsGGDk7pdIzc3TjX3mtf9fr/t3r3bpk6dap06dbIXXnjBTeEAAHyHBnfl/UT27dun/fv3q2fPnpKkyMhI+f1+3XffferZs6dGjhwpSfL5fIqNjdWwYcN06NAhDRw4UEOGDFGTJk0cVu8GmblxqrmbmRo3bqzu3bsrJSVFCxYs0OHDh/X3v//dYfXukFtwnGqO0tEroRdddJH69++vrKwsdejQQUuXLnVUuVvk5sZ35X7vvfeqR48euvbaayUdzTw3N1c33HCD7r33Xq1atUoHDx7U8uXLHVYPAMDxGLxL6tWrl/r27atFixZJkr788ks9/vjjeu+99zRnzhy1bNlS0tF1YyVp06ZNevvtt9W7d+/Ah781sFvsyMyNU83d5/PJ7/cHMm7btq1KSkq0Y8cOZ7W7RG7Bcao5StJHH32krVu3SpKio6MVFRWl/Px8VVRUuCjdKXJz42S5N2vWTH/+8581btw43XHHHWrfvr0yMjI0atQonXvuuZoxY4akbz/HAABwLcp1AeGgadOmSktL04MPPqh33nlHmzZtUvPmzTV37lwNGDBA0tGBZmRkpCRp3rx5iouLU2pqquLj42Vm8vl8Lg8h5MjMjZPlfmyuNc+AmpmeeOIJxcTE1Hq+syEht+A4ld97v9+viIgIrVixQnPmzNH48eMVHR2tvLw83XTTTWrUqJHjowg9cnPj+3JPTk7WsmXLdPPNN+uFF17Q7bffLklas2aNli1bppSUFPXp00eSAp9jAAC45jMufwbs2rVLr776qtq1a6fk5GR17NgxsK3mi1VWVpYeeugh/eQnP9HUqVMdVhseyMyNY3MfMGCAOnfuXGv7wYMHtXbtWn388cd66623lJubq6eeekrXX3+9WrVq1WBPnpBbcByb48CBA9WpU6cT7rdixQpNnjxZt956qwYMGKC+ffuqRYsWgX8bGhpyc+O7Pqeys7N19913a8eOHXrqqaeUlpam6dOn67333lNmZqYuuOACMgcAhBUG79+jqqpKUVFRgf+amcaMGSNJevTRR9W9e/daX+arq6sVEREhn8933Jf88vJyxcfHOzmOUDqTzGocOnRIOTk5at26tS677DInx1EXbd68WatWrdK///1vLVu2TH6/X0OHDlW/fv00YsQIXX755YF96dVvec2tBv161IYNG7Rjxw6NGjWq1pXKUaNGqUOHDpo7d27gNfrvW15zq0H/nZny8nK9+uqrmjlzpmJiYhQbG6vp06dr/Pjxqq6uVmRkJP0KAAgb3Db/PaKijsZz44036r777lNeXp527typSZMmqXv37pKOPiNbXFysyMhINWvWTJJUWVmp6OhoSdLq1av14osvau/evWrRooWeeeYZtW7d2s0BhYDXzGq+JElSfn6+Xn75ZWVnZyshIUF/+MMf1Lx5cyfHU1f4/X5NmzZNixcv1jXXXKOFCxcqMTFRcXFxtfYrKipSVFRUIM+G3KuS99zo1+N98cUXeu211xQXF6dhw4YFXk9ISNDnn3+uqqoqlZaW8m/lf/CSG/0XPHFxcZo8ebJ69eql22+/Xfn5+XrzzTc1fvx4HThwQNHR0fQrACBscC/Y9zCzwFn2IUOG6K677tKFF16o1NTUwHZJWrdundq0aRO4Jbzmw33+/Pm66667lJeXp+uvv14VFRXq27evvvjiCyfHEwpeMzv2ilNCQoJ+/vOfa9q0aVq0aJGeffZZHTlyJOTHUpdERETo9ddf1wMPPKC3335bCxcuVGVl5XH7rV+/Xueddx69+n+85ka/Hi8tLU1XXHGFRo8erdtuu00rVqzQHXfcocWLF+vyyy9XVFSU1q5dy7+V/8FLbvRf8NRcRd+wYYOio6M1e/ZspaSk6Ouvv9Ynn3xCvwIAwsvZXouuvvjyyy9t1KhR5vP5bNq0abZ///5a21esWGFdu3a1wYMHW3FxsRUUFFhsbKz95je/saKiIjMzKy0ttf79+9u8efNcHELInWpmQ4YMsb179x73/smTJ1vnzp1t48aNoSq5XsjLy7OkpCSLiYmxuXPnHredXj2xU82Nfv1++fn5NmbMGBs6dKgNHDjQpk6dWms7/Xdip5ob/Rd8+fn51rdvX7v22muP2/bWW2/RrwCAsMHg/TQtX77cLrzwQlu5cuVx2yoqKiw7O9v8fr+NHTvW+vbta4WFhbX26dWrl/36178O/P3IkSNWVlZ21ut26WSZffzxx1ZSUmJmZlVVVWZ2dODv8/ns2WeftcrKylrbDhw4YDt37gxR9XXXX//6V0tNTbXPPvvsuG306nc7WW7066kpLCy06urqwN+P/TP9991Olhv9d3ZkZ2dbfn6+mX2bXQ36FQAQLhi8B1HNl6ycnBzz+XyWmZlZa/unn35qAwYMsMceeyzw2vvvv28/+9nPbOrUqVZaWhrSesOR3+83M7Nhw4ZZcnKy7dq167h9Hn/8cWvVqpWNGzcu8CUWp4deDQ761Rv6Lzjov9CgXwEA4YJn3j2yE0zSX7OczPz58zVo0KDAGrE1/vnPf6q4uDjwenV1tRo3bqxzzz1XWVlZatasmXJycs5+8Y6cKLNjVVdXy+fzKSsrSx988IEefPBBtWvXLrBNknJzc5Wdna3+/ftrz549at26tdLT08926fUOvXrm6Ffv6L8zR/+FDv0KAAgXzDbv0Xet9WxmioqKUuPGjdWmTZvA6//617/05ptvqmPHjhoxYoSko5MOJScnKzk5WTt37lRxcXGt99Q335fZkSNHFBsbK0m6++679dOf/lTJycmB7TUTNL3++uvavHmzFi1apISEBC1btkz333+/cnNz9cYbb9SayAnfj171hn4NDvrPG/rPDfoVABAOuPIeZD6fT23btlVJSUng6sfhw4c1f/587d69W4888oiko+uh11yJ3rhxoxYsWKCZM2eqbdu2zmp35auvvtL111+vrKwsPfnkkzpw4ICmTJkSWO6oZtBfUFAgSSotLdXDDz+sgoICpaamasuWLfrd736nyMhI+f1+V4dR59Cr3tCvwUH/eUP/uUG/AgDCgc9Odi8zTltubq5Gjx6tbt26afDgwXr55ZfVuHFj3XnnnZo0aVJgKbUaI0aMUGVlpbKysgJXUxqaX/7yl3rmmWdUVVWlCRMm6Nlnnz1hFvv27dO+ffuUkZGhnJwcvfjii7riiiscVFw/0Kve0K/BQf95Q/+5Qb8CAJwL5QP2DUlhYaGNGzfORo0aZRMmTLAtW7YEJr05dvbgJUuWWGRkpK1Zs8ZVqWGjqKjIJkyYYD6fz+65557jlpY7VkFBgSUkJNgTTzwRwgrrJ3rVG/o1OOg/b+g/N+hXAIBLXHk/yyoqKtSoUaMTbjt8+LASEhL0wx/+UC+++GKIKwtfa9asUUZGhu655x4NGTJEBQUFio2NDUzG5Pf7FRERoRtvvFEHDhzQe++957ji+oFe9YZ+DQ76zxv6zw36FQDgAs+8n2X/+eH+ySefaPXq1ZKkp59+WkVFRXr44YddlBa2kpOTtWTJEg0ZMkSS9Nvf/lYvvfRSYHtERIQOHTqkDRs2qF+/fq7KrHfoVW/o1+Cg/7yh/9ygXwEALjDbfIht375dY8aM0eDBg7Vu3Tqlp6frkksucV1WWLL/e36wV69emjlzpvLy8vTAAw+ouLhY8+fPV3R0dGCGZQQfvXp66Nfgov9OD/3nFv0KAAgFrryH2OjRo/XVV1+pZcuWOnjwoPLz8/X111+7Liss1Uz8M2XKFK1fv16lpaUaN26c7rrrLq1evVqzZ89WSkqK4yrrL3r19NCvwUX/nR76zy36FQAQCjzz7tAHH3ygm266Sf369dNzzz2n888/33VJYS8/P1+NGjVSXFycWrVq5bqcBoNe9YZ+DQ76zxv6zw36FQBwtjB4DwMbNmxQz549FRHBjRAIb/QqXKL/UJfQrwCAYGPwDgAAAABAmON0MAAAAAAAYY7BOwAAAAAAYY7BOwAAAAAAYY7BOwAAAAAAYY7BOwAAAAAAYY7BOwAAAAAAYY7BOwAAAAAAYY7BOwAAAAAAYY7BOwAAAAAAYY7BOwAAAAAAYY7BOwAAAAAAYe5/ATfL5pARpxSuAAAAAElFTkSuQmCC", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "reload(asset_loader)\n", - "assets = asset_loader.AssetData(8, 100, seed=13)\n", - "assets.plotAssets()\n", - "\n", - "params = {\n", - " \"risk\" : 0.5,\n", - " \"budget\": 3,\n", - " \"penalty\": 0.1,\n", - " \"cov_matrix\": assets.cov_matrix,\n", - " \"exp_return\": assets.exp_return,\n", - " \"usebarrier\": True\n", - "}\n", - "print(2**assets.N)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "reload(QAOAPortfolioOptimization)\n", - "qaoa_portopt = QAOAPortfolioOptimization.QAOAPortfolioOptimization(params)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "display(qaoa_portopt.createCircuit(np.array((np.pi,2*np.pi)),1).draw(output='mpl'))\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "solutions:\n", - "00000000 \t -0.9000000000000001\n", - "00000001 \t -0.39959493903923593\n", - "00000010 \t -0.40003838680503623\n", - "00000011 \t -0.09961497100788397\n", - "00000100 \t -0.3961826539466855\n", - "00000101 \t -0.09571981905405957\n", - "00000110 \t -0.09620838012044663\n", - "00000111 0.004272809608567463\n", - "00001000 \t -0.3986812912588831\n", - "00001001 \t -0.09831678722260051\n", - "00001010 \t -0.09870341459236309\n", - "00001011 0.0016794442803078624\n", - "00001100 \t -0.0948507142301469\n", - "00001101 0.005571563737997387\n", - "00001110 0.005139823067648375\n", - "00001111 \t -0.09441954412781906\n", - "00010000 \t 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"01011101 \t -0.39406914361545575\n", - "01011110 \t -0.39435014921544576\n", - "01011111 \t -0.894002710768081\n", - "01100000 \t -0.1016550158624252\n", - "01100001 -0.0013522162694326045\n", - "01100010 -0.0016661050159871849\n", - "01100011 \t -0.10134495058660642\n", - "01100100 0.00232300620382353\n", - "01100101 \t -0.09731642027132215\n", - "01100110 \t -0.09767542231846371\n", - "01100111 \t -0.39729649395722055\n", - "01101000 -0.000237087833283689\n", - "01101001 \t -0.09997484516477262\n", - "01101010 \t -0.10023191351528937\n", - "01101011 \t -0.39995131601039025\n", - "01101100 \t -0.09624583479161308\n", - "01101101 \t -0.3959258181912404\n", - "01101110 \t -0.39622799984234436\n", - "01101111 \t -0.8958896284055828\n", - "01110000 -0.0019658563734039625\n", - "01110001 \t -0.10170985433451096\n", - "01110010 \t -0.10195588133790268\n", - "01110011 \t -0.4016815244626206\n", - "01110100 \t -0.09802682777193805\n", - "01110101 \t -0.39771305180118266\n", - "01110110 \t -0.3980041921051616\n", - "01110111 \t -0.897672061298018\n", - "01111000 \t -0.10054268259947885\n", - "01111001 \t -0.40032723748506727\n", - "01111010 \t -0.40051644409242093\n", - "01111011 \t -0.9002826441416205\n", - "01111100 \t -0.3965904230225916\n", - "01111101 \t -0.8963172039763172\n", - "01111110 \t -0.8965515238842585\n", - "01111111 \t -1.5962599500015962\n", - "10000000 \t -0.398367003059392\n", - "10000001 \t -0.09789276426475624\n", - "10000010 \t -0.09838280904672725\n", - "10000011 0.00210978458429667\n", - "10000100 \t -0.09457192459522124\n", - "10000101 0.005960088131276464\n", - "10000110 0.00542493004871869\n", - "10000111 \t -0.094024702388396\n", - "10001000 \t -0.09694365755896117\n", - "10001001 0.003490024311193052\n", - "10001010 0.0030567999252598677\n", - "10001011 \t -0.09649116336819752\n", - "10001100 0.006864651880631345\n", - "10001101 \t -0.09264389231735248\n", - "10001110 \t -0.09312223000387276\n", - "10001111 \t -0.392612419365469\n", - "10010000 \t -0.09867293188232829\n", - "10010001 0.0017545093582082005\n", - "10010010 0.0013323263194000567\n", - "10010011 \t -0.0982218776036754\n", - "10010100 0.005083153117060091\n", - "10010101 \t -0.09443163171054159\n", - "10010110 \t -0.09489892804993683\n", - "10010111 \t -0.3943953580411501\n", - "10011000 0.0027556593628863535\n", - "10011001 \t -0.09685745632105891\n", - "10011010 \t -0.0972228189638289\n", - "10011011 \t -0.39681757981138577\n", - "10011100 \t -0.09347502466230373\n", - "10011101 \t -0.39303036641438704\n", - "10011110 \t -0.39344084235774424\n", - "10011111 \t -0.8929778292734396\n", - "10100000 \t -0.10079974402738401\n", - "10100001 -0.000381369797451514\n", - "10100010 -0.0008247288873732828\n", - "10100011 \t -0.1003879998210524\n", - "10100100 0.0030902804805961193\n", - "10100101 \t -0.09643357135760944\n", - "10100110 \t -0.09692204374811797\n", - "10100111 \t -0.3964275407499358\n", - "10101000 0.0006938424003041233\n", - "10101001 \t -0.09892834029424491\n", - "10101010 \t -0.09931487898812885\n", - "10101011 \t -0.39891870684628983\n", - "10101100 \t -0.09540290211629432\n", - "10101101 \t -0.3949673108789813\n", - "10101110 \t -0.395398962873452\n", - "10101111 \t -0.894945016799751\n", - "10110000 -0.0010796985696177597\n", - "10110001 \t -0.1007081218937842\n", - "10110010 \t -0.10108361924054354\n", - "10110011 \t -0.40069368772832203\n", - "10110100 \t -0.09722866752642045\n", - "10110101 \t -0.3967993169187254\n", - "10110110 \t -0.3972199275660706\n", - "10110111 \t -0.8967722221219876\n", - "10111000 \t -0.0995808663971458\n", - "10111001 \t -0.3992498466457943\n", - "10111010 \t -0.3995685235965152\n", - "10111011 \t -0.8992191490087753\n", - "10111100 \t -0.39571660437852674\n", - "10111101 \t -0.8953278106953133\n", - "10111110 \t -0.8956916009466214\n", - "10111111 \t -1.5952844524270187\n", - "11000000 \t -0.09766182644377852\n", - "11000001 0.0027660155477891024\n", - "11000010 0.002358844093014456\n", - "11000011 \t -0.09719495907902975\n", - "11000100 0.006198981989517183\n", - "11000101 \t -0.09331540208705302\n", - "11000110 \t -0.0937676868424151\n", - "11000111 \t -0.3932637160825976\n", - "11001000 0.003790497417419547\n", - "11001001 \t -0.09582221751549458\n", - "11001010 \t -0.0961725685742314\n", - "11001011 \t -0.395766928670757\n", - "11001100 \t -0.09233546317386332\n", - "11001101 \t -0.3918904041749156\n", - "11001110 \t -0.39228586853423875\n", - "11001111 \t -0.8918224546989035\n", - "11010000 0.0020368253931716263\n", - "11010001 \t -0.09758213016936046\n", - "11010010 \t -0.0979214398809718\n", - "11010011 \t -0.39752204060711605\n", - "11010100 \t -0.09414135963831538\n", - "11010101 \t -0.39370254126898563\n", - "11010110 \t -0.39408696428118417\n", - "11010111 \t -0.8936297910754665\n", - "11011000 \t -0.0965056050008466\n", - "11011001 \t -0.39616511748786043\n", - "11011010 \t -0.3964476068034337\n", - "11011011 \t -0.8960887644540596\n", - "11011100 \t -0.39267055905691195\n", - "11011101 \t -0.8922722976120638\n", - "11011110 \t -0.8925999002282248\n", - "11011111 \t -1.5921832839469887\n", - "11100000 -0.0001448584652826712\n", - "11100001 \t -0.09977288103841842\n", - "11100010 \t -0.10013336680114415\n", - "11100011 \t -0.3997430345378914\n", - "11100100 \t -0.09618910398817793\n", - "11100101 \t -0.3957593526294516\n", - "11100110 \t -0.39616495169276367\n", - "11100111 \t -0.8957168454976492\n", - "11101000 \t -0.09862229367682729\n", - "11101001 \t -0.3982908731744448\n", - "11101010 \t -0.39859453854113247\n", - "11101011 \t -0.8982447632023616\n", - "11101100 \t -0.3946533082243009\n", - "11101101 \t -0.894264113790056\n", - "11101110 \t -0.8946128924573304\n", - "11101111 \t -1.594205343186698\n", - "11110000 \t -0.1004202323476302\n", - "11110001 \t -0.400095052474865\n", - "11110010 \t -0.40038767649442764\n", - "11110011 \t -0.9000441417852743\n", - "11110100 \t -0.39650347133530794\n", - "11110101 \t -0.8961205175306814\n", - "11110110 \t -0.8964582548508304\n", - "11110111 \t -1.596056946209815\n", - "11111000 \t -0.3988924218143912\n", - "11111001 \t -0.8986077988661074\n", - "11111010 \t -0.8988436024896325\n", - "11111011 \t -1.5985406247049612\n", - "11111100 \t -0.8949624298266474\n", - "11111101 \t -1.5946200329465021\n", - "11111110 \t -1.594900949870614\n", - "11111111 \t -2.4945401981540805\n", - "--------------------\n", - "Best sol is 10001100 with cost 0.006864651880631345\n" - ] - } - ], - "source": [ - "\n", - "print(\"solutions:\")\n", - "best_sol = None\n", - "best_cost = None\n", - "for s in [''.join(i) for i in itertools.product('01', repeat = assets.N)]:\n", - " c = qaoa_portopt.cost(s)\n", - " if best_sol is None:\n", - " best_sol = s\n", - " best_cost = c\n", - " elif c > best_cost:\n", - " best_sol = s\n", - " best_cost = c\n", - "\n", - " if qaoa_portopt.isFeasible(s):\n", - " print(s, c)\n", - " else: \n", - " print(s, '\\t', c)\n", - "\n", - "print(\"--------------------\")\n", - "print(\"Best sol is \"+ best_sol + \" with cost \" + str(best_cost))" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Sample cost landscape" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [], - "source": [ - "qasm_sim = Aer.get_backend('qasm_simulator')" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Calculating Energy landscape for depth p=1...\n", - "Calculating Energy landscape done\n" - ] - } - ], - "source": [ - "qaoa_portopt.sample_cost_landscape(qasm_sim, 1024, angles={\"gamma\": [0,np.pi,50], \"beta\": [0,np.pi,40]})" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "def plotLandscape(field, title, interpolation='bicubic'):\n", - " f = plt.figure(figsize=(6, 6), dpi= 80, facecolor='w', edgecolor='k')\n", - " _=plt.xlabel(r'$\\gamma$')\n", - " _=plt.ylabel(r'$\\beta$')\n", - " ax = plt.gca()\n", - " _=plt.title(title)\n", - " im = ax.imshow(field, interpolation=interpolation, origin='lower', extent=[0,np.pi,0,np.pi])\n", - " divider = make_axes_locatable(ax)\n", - " cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n", - " _=plt.colorbar(im, cax=cax)\n", - "\n", - "plotLandscape(qaoa_portopt.E, \"Expection value\", interpolation=\"None\")\n", - "#plotLandscape(qaoa_portopt.E, r'CVaR with $\\alpha$='+str(qaoaec_cvar.params[\"alpha\"])) #, interpolation=\"None\")\n", - "plotLandscape(qaoa_portopt.Var, \"Variance\")\n" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [], - "source": [ - "def searchBestSolution(qaoa, depth, verbose=0):\n", - " # Verbose: 0 = None, 1 = Best only, 2 = all\n", - " hist=qaoa.hist(qaoa.angles_hist['d'+str(depth)+'_final'], qasm_sim, 1024)\n", - " sorted_hist = dict(sorted(hist.items(), key=lambda item: item[1], reverse=True))\n", - "\n", - " if verbose > 1: print(\"Classical best result: \", (best_sol, best_cost))\n", - "\n", - " i = 0\n", - " best_s = None\n", - " best_freq = None\n", - " best_i = None\n", - " best_c = None\n", - " for s, freq in sorted_hist.items():\n", - " if s == best_sol:\n", - " if verbose > 1: print(str(i)+\" -->\\t\", qaoa.cost(s), s, freq)\n", - " best_s, best_freq, best_i = s, freq, i\n", - " best_c = qaoa.cost(best_s)\n", - " elif i <= 30:\n", - " if qaoa_portopt.isFeasible(s):\n", - " if verbose > 1: print(str(i)+\"\\t\", qaoa.cost(s), s, freq)\n", - " else:\n", - " if verbose > 1: print(str(i)+\"\\t\\t\", qaoa.cost(s), s, freq)\n", - " i = i + 1\n", - " if best_s is not None:\n", - " if verbose > 0: print(\"Best sol (rank, cost, freq):\", (best_i, qaoa.cost(best_s), best_freq))\n", - "\n", - " \n", - " return best_s, best_freq, best_i, best_c" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "{}" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "qaoa_portopt.angles_hist" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 10%|█ | 1/10 [00:00<00:08, 1.06it/s]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 1 )= 0.08067517405076155\n", - "Best sol (rank, cost, freq): (50, 0.006864651880631345, 6)\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 20%|██ | 2/10 [00:03<00:13, 1.70s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 2 )= 0.10103095672695425\n", - "Best sol (rank, cost, freq): (56, 0.006864651880631345, 6)\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 30%|███ | 3/10 [00:06<00:17, 2.56s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 3 )= 0.12079932098816727\n", - "Best sol (rank, cost, freq): (42, 0.006864651880631345, 6)\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 40%|████ | 4/10 [00:12<00:23, 3.86s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 4 )= 0.11527252394282568\n", - "Best sol (rank, cost, freq): (114, 0.006864651880631345, 1)\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 50%|█████ | 5/10 [00:22<00:30, 6.01s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 5 )= 0.10170289526647305\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 60%|██████ | 6/10 [00:37<00:36, 9.01s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 6 )= 0.08807727137294126\n", - "Best sol (rank, cost, freq): (36, 0.006864651880631345, 3)\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 70%|███████ | 7/10 [00:55<00:36, 12.12s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 7 )= 0.1039965668251942\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 80%|████████ | 8/10 [01:17<00:30, 15.15s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 8 )= 0.09225442439271589\n", - "Best sol (rank, cost, freq): (150, 0.006864651880631345, 1)\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - " 90%|█████████ | 9/10 [01:45<00:19, 19.19s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 9 )= 0.13552138723821758\n", - "Best sol (rank, cost, freq): (16, 0.006864651880631345, 14)\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "100%|██████████| 10/10 [02:18<00:00, 13.86s/it]" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "cost(depth= 10 )= 0.17989536974217735\n", - "Best sol (rank, cost, freq): (8, 0.006864651880631345, 17)\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n" - ] - } - ], - "source": [ - "maxdepth=10\n", - "for i in tqdm(range(maxdepth)):\n", - " qaoa_portopt.increase_depth(qasm_sim, 1024)\n", - " searchBestSolution(qaoa_portopt, i+1, verbose=1)" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "hist=qaoa_portopt.hist(qaoa_portopt.angles_hist['d'+str(maxdepth)+'_final'], qasm_sim,1024)\n", - "plot_histogram(hist)" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Classical best result: ('10001100', 0.006864651880631345)\n", - "0\t\t -0.09892834029424491 10101001 60\n", - "1\t 0.0030902804805961193 10100100 42\n", - "2\t\t -0.0979214398809718 11010010 36\n", - "3\t\t -0.09573257650909128 01010110 30\n", - "4\t\t -0.39650347133530794 11110100 21\n", - "5\t\t -0.09414135963831538 11010100 19\n", - "6\t\t -0.09977288103841842 11100001 19\n", - "7\t\t -0.400095052474865 11110001 18\n", - "8\t\t -0.10013336680114415 11100010 17\n", - "9\t -0.0001448584652826712 11100000 16\n", - "10\t\t -0.3967993169187254 10110101 16\n", - "11\t\t -0.39370254126898563 11010101 15\n", - "12\t\t -0.09997484516477262 01101001 15\n", - "13\t\t -0.09618910398817793 11100100 14\n", - "14\t\t -0.09931487898812885 10101010 14\n", - "15\t -0.0013522162694326045 01100001 14\n", - "16\t 0.005083153117060091 10010100 14\n", - "17\t\t -0.3946533082243009 11101100 12\n", - "18\t\t -0.395766928670757 11001011 12\n", - "19\t\t -0.09822012337979902 01011010 11\n", - "20\t 0.0007033929974177289 01010001 11\n", - "21\t\t -0.10170985433451096 01110001 11\n", - "22\t 0.0020368253931716263 11010000 10\n", - "23\t\t -0.10195588133790268 01110010 10\n", - "24\t\t -0.09665217985005481 00101101 10\n", - "25\t\t -0.1003879998210524 10100011 10\n", - "26\t -0.0006354768544620804 00101001 10\n", - "27\t\t -0.10134495058660642 01100011 9\n", - "28\t\t -0.0948507142301469 00001100 9\n", - "29 -->\t 0.006864651880631345 10001100 9\n", - "30\t\t -0.3982908731744448 11101001 9\n", - "Best sol (rank, cost, freq): (29, 0.006864651880631345, 9)\n" - ] - } - ], - "source": [ - "sorted_hist = dict(sorted(hist.items(), key=lambda item: item[1], reverse=True))\n", - "\n", - "print(\"Classical best result: \", (best_sol, best_cost))\n", - "\n", - "i = 0\n", - "best_s = None\n", - "best_freq = None\n", - "best_i = None\n", - "for s, freq in sorted_hist.items():\n", - " if s == best_sol:\n", - " print(str(i)+\" -->\\t\", qaoa_portopt.cost(s), s, freq)\n", - " best_s, best_freq, best_i = s, freq, i\n", - " elif i <= 30:\n", - " if qaoa_portopt.isFeasible(s):\n", - " print(str(i)+\"\\t\", qaoa_portopt.cost(s), s, freq)\n", - " else:\n", - " print(str(i)+\"\\t\\t\", qaoa_portopt.cost(s), s, freq)\n", - " i = i + 1\n", - "if best_s is not None:\n", - " print(\"Best sol (rank, cost, freq):\", (best_i, qaoa_portopt.cost(best_s), best_freq))\n", - "\n", - "\n" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "qcomp", - "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": "3.11.3" - }, - "orig_nbformat": 4 - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/PortfolioOptimization/CVaR_PortOpt.ipynb b/PortfolioOptimization/CVaR_PortOpt.ipynb new file mode 100644 index 0000000..b6298ee --- /dev/null +++ b/PortfolioOptimization/CVaR_PortOpt.ipynb @@ -0,0 +1,391 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Comparison of QAOA CVaR (Portfolio optimization)\n", + "In this notebook the QAOA version using the Conditional value at risk (CVaR) is compared to the standard QAOA for the problem of portfolio optimization. Both versions of QAOA are tested out using two different methods of incorporating the fixed budget constraint, namely the penalty method and the XY-mixer method. \n", + "\n", + "# Importing necessary modules" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "#run: pip install openquantumcomputing\n", + "from openquantumcomputing.QAOAPortfolioOptimization import QAOAPortfolioOptimization\n", + "from openquantumcomputing.QAOAPortfolioOptimization_mixer import QAOAPortfolioOptimization_mixer\n", + "from asset_loader import AssetData\n", + "from utilities_portOpt import computeMinMaxCosts, computeAverageApproxRatio, approxRatio\n", + "from qiskit import *\n", + "import numpy as np\n", + "import matplotlib.pyplot as pl\n", + "from mpl_toolkits.axes_grid1 import make_axes_locatable\n", + "from qiskit.visualization import *" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Creating problem instance" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "c:\\Users\\olaib\\QuantumComputing\\optimization\\PortfolioOptimization\\asset_loader.py:41: UserWarning: FixedFormatter should only be used together with FixedLocator\n", + " axs[0].set_xticklabels(axs[0].get_xticklabels(), rotation=-30)\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "number_of_assets = 12\n", + "budget = 6\n", + "\n", + "filename = os.path.join(\"data\", \"qiskit_finance_seeds.npz\")\n", + "seeds = np.load(filename)\n", + "assets = AssetData(number_of_assets, seed=seeds[str(number_of_assets)][132])\n", + "\n", + "assets.plotAssets()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Creating QAOA instances for all methods" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "gamma_scale = 5000 #Adjusts the search range for the gamma parameter \n", + "\n", + "#See Sebastian Brandhofer et al. “Benchmarking the performance of portfolio optimization with QAOA”. In:\n", + "#Quantum Information Processing 22.1 (2023), page 25-26)\n", + "#or Zichang He et al. #Alignment between Initial State and Mixer Improves QAOA Performance for \n", + "#Constrained Portfolio Optimization page 7 (2023)\n", + "\n", + "alpha = 0.1 # value for CVaR (Conditional Value at Risk)\n", + "params_penalty = {\n", + " \"risk\" : 0.5*gamma_scale,\n", + " \"budget\": budget,\n", + " \"penalty\": 4*gamma_scale, #Use optimal penalty?????\n", + " \"cov_matrix\": assets.cov_matrix,\n", + " \"exp_return\": assets.exp_return*gamma_scale,\n", + " \"usebarrier\": False #OBS: only set to true for drawing NOT for simulations\n", + "}\n", + "\n", + "params_XY_mixer = {\n", + " \"risk\" : 0.5*gamma_scale,\n", + " \"budget\": budget,\n", + " \"cov_matrix\": assets.cov_matrix,\n", + " \"exp_return\": assets.exp_return*gamma_scale,\n", + " \"usebarrier\": False #OBS: only set to true for drawing NOT for simulations\n", + "}\n", + "\n", + "qaoaport_opt_penalty = QAOAPortfolioOptimization(params=params_penalty) #Not using CVaR\n", + "qaoaport_opt_XYmixer = QAOAPortfolioOptimization_mixer(params = params_XY_mixer) #Not using CVaR\n", + "\n", + "params_penalty[\"alpha\"] = alpha\n", + "params_XY_mixer[\"alpha\"] = alpha\n", + "qaoaport_opt_penalty_CVaR = QAOAPortfolioOptimization(params=params_penalty) #Using CVaR\n", + "qaoaport_opt_XYmixer_CVaR = QAOAPortfolioOptimization_mixer(params = params_XY_mixer) #Using CVaR" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Sampling cost landscape for all methods" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Calculating Energy landscape for depth p=1...\n", + "Executing sample_cost_landscape\n", + "parameters: 2\n", + "Done execute\n", + "Done measurement\n", + "Calculating Energy landscape done\n", + "Calculating Energy landscape for depth p=1...\n", + "Executing sample_cost_landscape\n", + "parameters: 2\n", + "Done execute\n", + "Done measurement\n", + "Calculating Energy landscape done\n", + "Calculating Energy landscape for depth p=1...\n", + "Its now computing the feasible subspace\n", + "Executing sample_cost_landscape\n", + "parameters: 2\n", + "Done execute\n", + "Done measurement\n", + "Calculating Energy landscape done\n", + "Calculating Energy landscape for depth p=1...\n", + "Its now computing the feasible subspace\n", + "Executing sample_cost_landscape\n", + "parameters: 2\n", + "Done execute\n", + "Done measurement\n", + "Calculating Energy landscape done\n" + ] + } + ], + "source": [ + "qaoaport_opt_penalty.sample_cost_landscape(angles={\"gamma\": [0,np.pi/2,10], \"beta\": [0,np.pi/2,10]})\n", + "qaoaport_opt_penalty_CVaR.sample_cost_landscape(angles={\"gamma\": [0,np.pi/2,10], \"beta\": [0,np.pi/2,10]})\n", + "\n", + "qaoaport_opt_XYmixer.sample_cost_landscape(angles={\"gamma\": [0,np.pi/2,10], \"beta\": [0,2*np.pi,10]})\n", + "qaoaport_opt_XYmixer_CVaR.sample_cost_landscape(angles={\"gamma\": [0,np.pi/2,10], \"beta\": [0,2*np.pi,10]})\n", + "\n", + "#Note that the beta range is different for for the penalty method and the XY-mixer method, due to \n", + "#different periods in the mixers." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Increasing depth" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "cost(depth= 1 )= 78885.20746716255\n", + "cost(depth= 1 )= 23.096632934006514\n", + "cost(depth= 1 )= 4.6457686404666765\n", + "cost(depth= 1 )= -24.83143757628323\n", + "cost(depth= 2 )= 50152.96820923864\n", + "cost(depth= 2 )= 15.084287095849183\n", + "cost(depth= 2 )= -0.7063059777598844\n", + "cost(depth= 2 )= -27.156838043469104\n", + "cost(depth= 3 )= 61325.45190863115\n", + "cost(depth= 3 )= 17.01652357394935\n", + "cost(depth= 3 )= -1.3186298313591238\n", + "cost(depth= 3 )= -28.173148132786164\n", + "cost(depth= 4 )= 46767.1311667625\n", + "cost(depth= 4 )= 12.204537100471356\n", + "cost(depth= 4 )= -1.4662931879942207\n", + "cost(depth= 4 )= -28.887912615972883\n", + "cost(depth= 5 )= 55449.36792566463\n", + "cost(depth= 5 )= 10.6403694751047\n", + "cost(depth= 5 )= -2.762775508722115\n", + "cost(depth= 5 )= -28.91433382030249\n" + ] + } + ], + "source": [ + "maxdepth=5\n", + "for i in range(maxdepth):\n", + " qaoaport_opt_penalty.increase_depth()\n", + " qaoaport_opt_penalty_CVaR.increase_depth()\n", + "\n", + " qaoaport_opt_XYmixer.increase_depth()\n", + " qaoaport_opt_XYmixer_CVaR.increase_depth()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Compute and print optimal solution with minium cost" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimal solution: 100100101011 \n", + " With cost: -29.063041157787666\n" + ] + } + ], + "source": [ + "\n", + "cost_func = qaoaport_opt_penalty.cost\n", + "isFeasible_func = qaoaport_opt_penalty.isFeasible #These function are the same for all methoods\n", + "\n", + "\n", + "min_cost, max_cost, solution = computeMinMaxCosts(number_of_assets, cost_func, isFeasible_func)\n", + "print(\"Optimal solution: \", solution, \"\\n With cost: \", min_cost)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Compute approximation ratio" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "hists_penalty = [None]*maxdepth\n", + "hists_penalty_CVaR = [None]*maxdepth\n", + "hists_XYmixer = [None]*maxdepth\n", + "hists_XYmixer_CVaR = [None]*maxdepth\n", + "for i in range(maxdepth):\n", + " hists_penalty[i] = qaoaport_opt_penalty.hist(qaoaport_opt_penalty.angles_hist['d'+str(i+1)+'_final'])\n", + " hists_penalty_CVaR[i] = qaoaport_opt_penalty_CVaR.hist(qaoaport_opt_penalty_CVaR.angles_hist['d'+str(i+1)+'_final'])\n", + "\n", + " hists_XYmixer[i] = qaoaport_opt_XYmixer.hist(qaoaport_opt_XYmixer.angles_hist['d'+str(i+1)+'_final'])\n", + " hists_XYmixer_CVaR[i] = qaoaport_opt_XYmixer_CVaR.hist(qaoaport_opt_XYmixer_CVaR.angles_hist['d'+str(i+1)+'_final'])\n", + "\n", + "apprx_ratio_penalty = [None]*maxdepth\n", + "apprx_ratio_penalty_CVaR = [None]*maxdepth\n", + "apprx_ratio_XYmixer = [None]*maxdepth\n", + "apprx_ratio_XYmixer_CVaR = [None]*maxdepth\n", + "\n", + "for i in range(maxdepth):\n", + " apprx_ratio_penalty[i] = computeAverageApproxRatio(hists_penalty[i], max_cost, min_cost, cost_func, isFeasible_func)\n", + " apprx_ratio_penalty_CVaR[i] = computeAverageApproxRatio(hists_penalty_CVaR[i], max_cost, min_cost, cost_func, isFeasible_func)\n", + " apprx_ratio_XYmixer[i] = computeAverageApproxRatio(hists_XYmixer[i], max_cost, min_cost, cost_func, isFeasible_func)\n", + " apprx_ratio_XYmixer_CVaR[i] = computeAverageApproxRatio(hists_XYmixer_CVaR[i], max_cost, min_cost, cost_func, isFeasible_func)\n", + "\n", + "\n", + "apprx_ratio_penalty2 = approxRatio(list(qaoaport_opt_penalty.costval.values()), max_cost, min_cost)\n", + "apprx_ratio_penalty_CVaR2 = approxRatio(list(qaoaport_opt_penalty_CVaR.costval.values()), max_cost, min_cost)\n", + "apprx_ratio_XYmixer2 = approxRatio(list(qaoaport_opt_XYmixer.costval.values()), max_cost, min_cost)\n", + "apprx_ratio_XYmixer_CVaR2 = approxRatio(list(qaoaport_opt_XYmixer_CVaR.costval.values()), max_cost, min_cost)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Plot approximation ratio" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pl.hlines(1, 1,maxdepth, linestyles=\"solid\", colors=\"black\")\n", + "pl.plot(np.arange(1,maxdepth+1), apprx_ratio_penalty,'o--', label='Penalty')\n", + "pl.plot(np.arange(1,maxdepth+1), apprx_ratio_penalty_CVaR,'o--', label='Penalty, CVaR')\n", + "pl.plot(np.arange(1,maxdepth+1), apprx_ratio_XYmixer,'o--', label='XY-mixer')\n", + "pl.plot(np.arange(1,maxdepth+1), apprx_ratio_XYmixer_CVaR,'o--', label='XY-mixer, CVaR')\n", + "pl.ylim(0,1.05)\n", + "_=pl.ylabel('appr. ratio')\n", + "_=pl.xlabel('depth')\n", + "_=pl.legend()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Plot approximation ratio (SECOND WAY)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pl.hlines(1, 1,maxdepth, linestyles=\"solid\", colors=\"black\")\n", + "pl.plot(np.arange(1,maxdepth+1), apprx_ratio_penalty2,'o--', label='Penalty') #Negative values.....\n", + "pl.plot(np.arange(1,maxdepth+1), apprx_ratio_penalty_CVaR2,'o--', label='Penalty, CVaR')\n", + "pl.plot(np.arange(1,maxdepth+1), apprx_ratio_XYmixer2,'o--', label='XY-mixer')\n", + "pl.plot(np.arange(1,maxdepth+1), apprx_ratio_XYmixer_CVaR2,'o--', label='XY-mixer, CVaR')\n", + "pl.ylim(0,1.05)\n", + "_=pl.ylabel('appr. ratio')\n", + "_=pl.xlabel('depth')\n", + "_=pl.legend()\n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "environment", + "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": "3.11.4" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/PortfolioOptimization/ComparisonOptimizers_PortOpt.ipynb b/PortfolioOptimization/ComparisonOptimizers_PortOpt.ipynb new file mode 100644 index 0000000..fbd54f4 --- /dev/null +++ b/PortfolioOptimization/ComparisonOptimizers_PortOpt.ipynb @@ -0,0 +1,809 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Comparisons of different optimizeers for QAOA (Portfolio Optimization)\n", + "In this notebook different optimizers for the QAOA parameters are compared, for the problem of portfolio optimization. Both the values of the parameters and the resulting approximation ratio are compared. We try each optimizer for both the penalty method and the XY-mixer method of incorporating the fixed budget constraint. \n", + "# Importing necessary modules\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "#run: pip install openquantumcomputing\n", + "from openquantumcomputing.QAOAPortfolioOptimization import QAOAPortfolioOptimization\n", + "from openquantumcomputing.QAOAPortfolioOptimization_mixer import QAOAPortfolioOptimization_mixer\n", + "from asset_loader import AssetData\n", + "from utilities_portOpt import computeMinMaxCosts, computeAverageApproxRatio, approxRatio\n", + "from qiskit import *\n", + "import numpy as np\n", + "import matplotlib.pyplot as pl\n", + "from mpl_toolkits.axes_grid1 import make_axes_locatable\n", + "from qiskit.visualization import *\n", + "from qiskit_algorithms.optimizers import SPSA, QNSPSA, COBYLA, NELDER_MEAD" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Creating problem instance" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "c:\\Users\\olaib\\QuantumComputing\\optimization\\PortfolioOptimization\\asset_loader.py:41: UserWarning: FixedFormatter should only be used together with FixedLocator\n", + " axs[0].set_xticklabels(axs[0].get_xticklabels(), rotation=-30)\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "number_of_assets = 12\n", + "budget = 6\n", + "\n", + "filename = os.path.join(\"data\", \"qiskit_finance_seeds.npz\")\n", + "seeds = np.load(filename)\n", + "assets = AssetData(number_of_assets, seed=seeds[str(number_of_assets)][132])\n", + "\n", + "assets.plotAssets()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Setting up the optimizers to use roughly the same number of function evaluations" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "optimizers={}\n", + "plotstyle={}\n", + "\n", + "settings = {\n", + " \"maxiter\": 70,\n", + " \"blocking\": True,\n", + " \"allowed_increase\": 0,\n", + " \"second_order\": True,\n", + " \"regularization\": 0.01\n", + "}\n", + "optimizers[\"spsa\"] = [SPSA, settings.copy()]\n", + "plotstyle[\"spsa\"] = '+-'\n", + "\n", + "settings = {\n", + " \"maxiter\": 50,\n", + " \"blocking\": True,\n", + " \"allowed_increase\": 0,\n", + " \"learning_rate\": 0.02,\n", + " \"perturbation\": 0.05,\n", + " \"regularization\": 0.01,\n", + " \"hessian_delay\": 0\n", + "}\n", + "optimizers[\"qnspsa\"] = [QNSPSA, settings.copy()]\n", + "plotstyle[\"qnspsa\"] = 'o-'\n", + "\n", + "settings = {\n", + " \"maxiter\": 110,\n", + " \"tol\": 1e-6 \n", + "}\n", + "optimizers[\"neldermead\"] = [NELDER_MEAD, settings.copy()]\n", + "plotstyle[\"neldermead\"] = 'x-'\n", + "\n", + "settings = {\n", + " \"maxiter\": 350,\n", + " \"tol\": 1e-6 \n", + "}\n", + "optimizers[\"cobyla\"] = [COBYLA, settings.copy()]\n", + "plotstyle[\"cobyla\"] = '*-'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Creating QAOA instances (both penalty and XY-mixer method) for each optimizer" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "gamma_scale = 5000 #Adjusts the search range for the gamma parameter \n", + "\n", + "#See Sebastian Brandhofer et al. “Benchmarking the performance of portfolio optimization with QAOA”. In:\n", + "#Quantum Information Processing 22.1 (2023), page 25-26)\n", + "#or Zichang He et al. #Alignment between Initial State and Mixer Improves QAOA Performance for \n", + "#Constrained Portfolio Optimization page 7 (2023)\n", + "\n", + "\n", + "params_penalty = {\n", + " \"risk\" : 0.5*gamma_scale,\n", + " \"budget\": budget,\n", + " \"penalty\": 4*gamma_scale, #Use optimal penalty?????\n", + " \"cov_matrix\": assets.cov_matrix,\n", + " \"exp_return\": assets.exp_return*gamma_scale,\n", + " \"usebarrier\": False #OBS: only set to true for drawing NOT for simulations\n", + "}\n", + "\n", + "params_XYmixer = {\n", + " \"risk\" : 0.5*gamma_scale,\n", + " \"budget\": budget,\n", + " \"cov_matrix\": assets.cov_matrix,\n", + " \"exp_return\": assets.exp_return*gamma_scale,\n", + " \"usebarrier\": False #OBS: only set to true for drawing NOT for simulations\n", + "}\n", + "\n", + "\n", + "qaoa_penalty = {}\n", + "qaoa_XYmixer = {}\n", + "for key in optimizers:\n", + " params_penalty[\"optimizer\"] = optimizers[key]\n", + " qaoa_penalty[key] = QAOAPortfolioOptimization(params = params_penalty)\n", + " if key != \"qnspsa\": #qnspsa does not work for the XY-mixer method???\n", + " params_XYmixer[\"optimizer\"] = optimizers[key]\n", + " qaoa_XYmixer[key] = QAOAPortfolioOptimization_mixer(params = params_XYmixer)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Sample cost landscape for each QAOA instance" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Calculating Energy landscape for depth p=1...\n", + "Executing sample_cost_landscape\n", + "parameters: 2\n", + "Done execute\n", + "Done measurement\n", + "Calculating Energy landscape done\n", + "Calculating Energy landscape for depth p=1...\n", + "Its now computing the feasible subspace\n", + "Executing sample_cost_landscape\n", + "parameters: 2\n", + "Done execute\n", + "Done measurement\n", + "Calculating Energy landscape done\n", + "Calculating Energy landscape for depth p=1...\n", + "Executing sample_cost_landscape\n", + "parameters: 2\n", + "Done execute\n", + "Done measurement\n", + "Calculating Energy landscape done\n", + "Calculating Energy landscape for depth p=1...\n", + "Executing sample_cost_landscape\n", + "parameters: 2\n", + "Done execute\n", + "Done measurement\n", + "Calculating Energy landscape done\n", + "Calculating Energy landscape for depth p=1...\n", + "Its now computing the feasible subspace\n", + "Executing sample_cost_landscape\n", + "parameters: 2\n", + "Done execute\n", + "Done measurement\n", + "Calculating Energy landscape done\n", + "Calculating Energy landscape for depth p=1...\n", + "Executing sample_cost_landscape\n", + "parameters: 2\n", + "Done execute\n", + "Done measurement\n", + "Calculating Energy landscape done\n", + "Calculating Energy landscape for depth p=1...\n", + "Its now computing the feasible subspace\n", + "Executing sample_cost_landscape\n", + "parameters: 2\n", + "Done execute\n", + "Done measurement\n", + "Calculating Energy landscape done\n" + ] + } + ], + "source": [ + "for key in optimizers:\n", + " qaoa_penalty[key].sample_cost_landscape(angles={\"gamma\": [0,np.pi/2,10], \"beta\": [0,np.pi/2,10]})\n", + " if key != \"qnspsa\": # QNSPSA does not work for the XY-method???\n", + " qaoa_XYmixer[key].sample_cost_landscape(angles={\"gamma\": [0,np.pi/2,10], \"beta\": [0,2*np.pi,10]})" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Plot the cost landscape for the penalty method, for one optimizer" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "method = \"cobyla\"\n", + "\n", + "f = pl.figure(figsize=(6, 6), dpi= 80, facecolor='w', edgecolor='k');\n", + "_=pl.xlabel(r'$\\gamma$')\n", + "_=pl.ylabel(r'$\\beta$')\n", + "ax = pl.gca()\n", + "_=pl.title('Expectation value')\n", + "im = ax.imshow(qaoa_penalty[method].E,interpolation='bicubic',origin='lower',extent=[0,np.pi/2,0,np.pi/2])\n", + "divider = make_axes_locatable(ax)\n", + "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n", + "_=pl.colorbar(im, cax=cax)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Plot the cost landscape for the XY-mixer method, for one optimizer" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "method = \"cobyla\"\n", + "\n", + "f = pl.figure(figsize=(6, 6), dpi= 80, facecolor='w', edgecolor='k');\n", + "_=pl.xlabel(r'$\\gamma$')\n", + "_=pl.ylabel(r'$\\beta$')\n", + "ax = pl.gca()\n", + "_=pl.title('Expectation value')\n", + "im = ax.imshow(qaoa_XYmixer[method].E,interpolation='bicubic',origin='lower',extent=[0,np.pi/2,0,2*np.pi])\n", + "divider = make_axes_locatable(ax)\n", + "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n", + "_=pl.colorbar(im, cax=cax)\n", + "#Note that the beta range is different for for the penalty method and the XY-mixer method, due to \n", + "#different periods in the mixers." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Increasing depth for all QAOA instances" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "cost(depth= 1 )= 33070.811237424496\n", + "cost(depth= 1 )= 20.2321120665426\n", + "cost(depth= 1 )= 36410.70726832774\n", + "cost(depth= 1 )= 28481.421209843495\n", + "cost(depth= 1 )= 3.2310537674209296\n", + "cost(depth= 1 )= 29868.65079792973\n", + "cost(depth= 1 )= 5.449193762482691\n", + "cost(depth= 2 )= 46539.770172396886\n", + "cost(depth= 2 )= 2.770466298427799\n", + "cost(depth= 2 )= 54660.0788176827\n", + "cost(depth= 2 )= 26653.7857936592\n", + "cost(depth= 2 )= 7.070666485108993\n", + "cost(depth= 2 )= 32000.198691415946\n", + "cost(depth= 2 )= 1.0750880452762046\n", + "cost(depth= 3 )= 38019.51561465705\n", + "cost(depth= 3 )= 0.8854352580647699\n", + "cost(depth= 3 )= 60799.56017028817\n", + "cost(depth= 3 )= 22618.67446759236\n", + "cost(depth= 3 )= -4.284241166296235\n", + "cost(depth= 3 )= 31875.73134712232\n", + "cost(depth= 3 )= 3.8829194118047967\n", + "cost(depth= 4 )= 39367.438099846506\n", + "cost(depth= 4 )= 0.1694858187136332\n", + "cost(depth= 4 )= 60955.73160245643\n", + "cost(depth= 4 )= 34335.276213400386\n", + "cost(depth= 4 )= -5.119152055908779\n", + "cost(depth= 4 )= 33008.178685320985\n", + "cost(depth= 4 )= 3.6982971319361693\n", + "cost(depth= 5 )= 29802.372688661217\n", + "cost(depth= 5 )= -3.5995747564071854\n", + "cost(depth= 5 )= 59685.969136533895\n", + "cost(depth= 5 )= 34361.899095735535\n", + "cost(depth= 5 )= -7.0940563955022435\n", + "cost(depth= 5 )= 33096.2841800287\n", + "cost(depth= 5 )= -0.00259016285560304\n", + "cost(depth= 6 )= 26522.574977349588\n", + "cost(depth= 6 )= -4.37564870143637\n", + "cost(depth= 6 )= 59917.547269174145\n", + "cost(depth= 6 )= 41923.35469718744\n", + "cost(depth= 6 )= -7.283699979766894\n", + "cost(depth= 6 )= 39713.803031320575\n", + "cost(depth= 6 )= 0.9719592685509559\n", + "cost(depth= 7 )= 36718.05982164955\n", + "cost(depth= 7 )= -4.546537148738649\n", + "cost(depth= 7 )= 57360.35427991678\n", + "cost(depth= 7 )= 49003.123944292885\n", + "cost(depth= 7 )= -5.726880533159086\n", + "cost(depth= 7 )= 38960.06294610316\n", + "cost(depth= 7 )= 1.1697535433113675\n", + "cost(depth= 8 )= 22933.751441657998\n", + "cost(depth= 8 )= -5.894805455154011\n", + "cost(depth= 8 )= 63941.780260542284\n", + "cost(depth= 8 )= 50605.23490971608\n", + "cost(depth= 8 )= -7.834285694643518\n", + "cost(depth= 8 )= 54098.791592591006\n", + "cost(depth= 8 )= 2.5957636175406233\n", + "cost(depth= 9 )= 28905.325608630523\n", + "cost(depth= 9 )= -6.541657081819092\n", + "cost(depth= 9 )= 62399.38595909362\n", + "cost(depth= 9 )= 48511.94479226546\n", + "cost(depth= 9 )= -6.320259384018844\n", + "cost(depth= 9 )= 41001.42094808257\n", + "cost(depth= 9 )= 3.764660353794233\n", + "cost(depth= 10 )= 24137.851072035082\n", + "cost(depth= 10 )= -4.185643813013674\n", + "cost(depth= 10 )= 61404.890098205215\n", + "cost(depth= 10 )= 49432.60424080039\n", + "cost(depth= 10 )= -6.953297769283728\n", + "cost(depth= 10 )= 48300.42181843751\n", + "cost(depth= 10 )= 7.437335034204903\n" + ] + } + ], + "source": [ + "maxdepth=10\n", + "for i in range(maxdepth):\n", + " for key in optimizers:\n", + " qaoa_penalty[key].increase_depth()\n", + " if key != \"qnspsa\": #qnspsa does not work for the XY-mixer method???\n", + " qaoa_XYmixer[key].increase_depth()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Compute and print the optimal solution with minium cost" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimal solution: 100100101011 \n", + " With cost: -29.063041157787666\n" + ] + } + ], + "source": [ + "method = \"cobyla\"\n", + "cost_func = qaoa_penalty[method].cost \n", + "isFeasible_func = qaoa_penalty[method].isFeasible \n", + "#These function are the same for all methoods\n", + "\n", + "min_cost, max_cost, solution = computeMinMaxCosts(number_of_assets, cost_func, isFeasible_func)\n", + "print(\"Optimal solution: \", solution, \"\\n With cost: \", min_cost)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "hists_penalty = {}\n", + "hists_XYmixer = {}\n", + "\n", + "\n", + "for key in optimizers:\n", + " hists_penalty[key] = [qaoa_penalty[key].hist(qaoa_penalty[key].angles_hist['d'+str(1)+'_final'])]\n", + " if key != \"qnspsa\": #qnspsa does not work for the XY-mixer method???\n", + " hists_XYmixer[key] = [qaoa_XYmixer[key].hist(qaoa_XYmixer[key].angles_hist['d'+str(1)+'_final'])]\n", + " for i in range(1, maxdepth):\n", + " hists_penalty[key].append(qaoa_penalty[key].hist(qaoa_penalty[key].angles_hist['d'+str(i+1)+'_final']))\n", + " if key != \"qnspsa\": #qnspsa does not work for the XY-mixer method???\n", + " hists_XYmixer[key].append(qaoa_XYmixer[key].hist(qaoa_XYmixer[key].angles_hist['d'+str(i+1)+'_final']))\n", + "\n", + "\n", + "\n", + "apprx_ratio_penalty = {} #List of approx ratios for different depths at each key in this dictionary\n", + "apprx_ratio_XYmixer = {} #List of approx ratios for different depths at each key in this dictionary\n", + "\n", + "for key in optimizers: \n", + " apprx_ratio_penalty[key] = [computeAverageApproxRatio(hists_penalty[key][0], max_cost, min_cost, cost_func, isFeasible_func)]\n", + " if key != \"qnspsa\":\n", + " apprx_ratio_XYmixer[key] = [computeAverageApproxRatio(hists_penalty[key][0], max_cost, min_cost, cost_func, isFeasible_func)] \n", + " for i in range(1, maxdepth):\n", + " apprx_ratio_penalty[key].append(computeAverageApproxRatio(hists_penalty[key][i], max_cost, min_cost, cost_func, isFeasible_func))\n", + " if key != \"qnspsa\":\n", + " apprx_ratio_XYmixer[key].append(computeAverageApproxRatio(hists_XYmixer[key][i], max_cost, min_cost, cost_func, isFeasible_func))\n", + "\n", + "\n", + "apprx_ratio_penalty2 = {}\n", + "apprx_ratio_XYmixer2 = {}\n", + "for key in optimizers:\n", + " apprx_ratio_penalty2[key] = approxRatio(list(qaoa_penalty[key].costval.values()), max_cost, min_cost)\n", + " if key != \"qnspsa\":\n", + " apprx_ratio_XYmixer2[key] = approxRatio(list(qaoa_XYmixer[key].costval.values()), max_cost, min_cost)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Plotting the approximation ratios using the penalty method the different optimizers" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = pl.figure().gca()\n", + "pl.hlines(1, 1,maxdepth, linestyles=\"solid\", colors=\"black\")\n", + "for key in optimizers:\n", + " pl.plot(np.arange(1,maxdepth+1), apprx_ratio_penalty[key], plotstyle[key], label=key)\n", + "pl.ylim(0,1.01)\n", + "pl.xlim(1-.25,maxdepth+.25)\n", + "_=pl.ylabel('appr. ratio')\n", + "_=pl.xlabel('depth')\n", + "_=pl.legend(loc=\"lower right\", framealpha=1)\n", + "#ax.xaxis.set_major_locator(MaxNLocator(integer=True))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Plotting the approximation ratios using the penalty method the different optimizers (SECOND WAY)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = pl.figure().gca()\n", + "pl.hlines(1, 1,maxdepth, linestyles=\"solid\", colors=\"black\")\n", + "for key in optimizers:\n", + " pl.plot(np.arange(1,maxdepth+1), apprx_ratio_penalty2[key], plotstyle[key], label=key)\n", + "pl.ylim(0,1.01)\n", + "pl.xlim(1-.25,maxdepth+.25)\n", + "_=pl.ylabel('appr. ratio')\n", + "_=pl.xlabel('depth')\n", + "_=pl.legend(loc=\"lower right\", framealpha=1)\n", + "#ax.xaxis.set_major_locator(MaxNLocator(integer=True))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Plotting the approximation ratios using the XY-mixer method for the different optimizers" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = pl.figure().gca()\n", + "pl.hlines(1, 1,maxdepth, linestyles=\"solid\", colors=\"black\")\n", + "for key in optimizers:\n", + " if key != \"qnspsa\": #qnspsa does not work for the XY-mixer method???\n", + " pl.plot(np.arange(1,maxdepth+1), apprx_ratio_XYmixer[key], plotstyle[key], label=key)\n", + "pl.ylim(0,1.01)\n", + "pl.xlim(1-.25,maxdepth+.25)\n", + "_=pl.ylabel('appr. ratio')\n", + "_=pl.xlabel('depth')\n", + "_=pl.legend(loc=\"lower right\", framealpha=1)\n", + "#ax.xaxis.set_major_locator(MaxNLocator(integer=True))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Plotting the approximation ratios using the XY-mixer method for the different optimizers (SECOND WAY)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = pl.figure().gca()\n", + "pl.hlines(1, 1,maxdepth, linestyles=\"solid\", colors=\"black\")\n", + "for key in optimizers:\n", + " if key != \"qnspsa\": #qnspsa does not work for the XY-mixer method???\n", + " pl.plot(np.arange(1,maxdepth+1), apprx_ratio_XYmixer2[key], plotstyle[key], label=key)\n", + "pl.ylim(0,1.01)\n", + "pl.xlim(1-.25,maxdepth+.25)\n", + "_=pl.ylabel('appr. ratio')\n", + "_=pl.xlabel('depth')\n", + "_=pl.legend(loc=\"lower right\", framealpha=1)\n", + "#ax.xaxis.set_major_locator(MaxNLocator(integer=True))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Plotting the values for the parameters for the penalty method" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = pl.figure().gca()\n", + "for key in optimizers:\n", + " pl.plot(np.arange(1,maxdepth+1),qaoa_penalty[key].angles_hist['d'+str(maxdepth)+'_final'][::2],\"b\"+plotstyle[key],label='gamma '+key)\n", + " pl.plot(np.arange(1,maxdepth+1),qaoa_penalty[key].angles_hist['d'+str(maxdepth)+'_final'][1::2],\"g\"+plotstyle[key],label='beta '+key)\n", + "pl.xlim(1-.25,maxdepth+.25)\n", + "_=pl.ylabel('parameter')\n", + "_=pl.xlabel('depth')\n", + "_=pl.legend()\n", + "#ax.xaxis.set_major_locator(MaxNLocator(integer=True))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Plotting the values for the parameters for the XY-mixer method" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = pl.figure().gca()\n", + "for key in optimizers:\n", + " if key !=\"qnspsa\": #qnspsa does not work for the XY-mixer method???\n", + " pl.plot(np.arange(1,maxdepth+1),qaoa_XYmixer[key].angles_hist['d'+str(maxdepth)+'_final'][::2],\"b\"+plotstyle[key],label='gamma '+key)\n", + " pl.plot(np.arange(1,maxdepth+1),qaoa_XYmixer[key].angles_hist['d'+str(maxdepth)+'_final'][1::2],\"g\"+plotstyle[key],label='beta '+key)\n", + "pl.xlim(1-.25,maxdepth+.25)\n", + "_=pl.ylabel('parameter')\n", + "_=pl.xlabel('depth')\n", + "_=pl.legend()\n", + "#ax.xaxis.set_major_locator(MaxNLocator(integer=True))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Plotting the number of function evaluations used by each optimizer for the penalty method" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = pl.figure().gca()\n", + "for key in optimizers:\n", + " _=pl.plot(np.arange(1,maxdepth+1),qaoa_penalty[key].num_fval.values(), plotstyle[key], label=key)\n", + "pl.xlim(1-.25,maxdepth+.25)\n", + "_=pl.ylabel('number of function evaluations')\n", + "_=pl.xlabel('depth')\n", + "_=pl.legend()\n", + "#ax.xaxis.set_major_locator(MaxNLocator(integer=True))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Plotting the numver of function evaluations used by each optimizer" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = pl.figure().gca()\n", + "for key in optimizers:\n", + " if key != \"qnspsa\": #qnspsa does not work for the XY-mixer method???\n", + " _=pl.plot(np.arange(1,maxdepth+1),qaoa_XYmixer[key].num_fval.values(), plotstyle[key], label=key)\n", + "pl.xlim(1-.25,maxdepth+.25)\n", + "_=pl.ylabel('number of function evaluations')\n", + "_=pl.xlabel('depth')\n", + "_=pl.legend()\n", + "#ax.xaxis.set_major_locator(MaxNLocator(integer=True))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Should a test be done with CVaR and different optimizers?" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "environment", + "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": "3.11.4" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/PortfolioOptimization/ToyExample_PortOpt.ipynb b/PortfolioOptimization/ToyExample_PortOpt.ipynb new file mode 100644 index 0000000..08b52af --- /dev/null +++ b/PortfolioOptimization/ToyExample_PortOpt.ipynb @@ -0,0 +1,438 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# QAOA for Portfolio Optimization, Toy Example\n", + "In this notebook a small portfolio optimization problem is solved using QAOA. We incorporate the fixed budget constraint using two different methods, namely the penalty method and the XY-mixer method. The quantum circuit used is shown for both methods and the approximation ratio for depth = 1 is computed for the two methods.\n", + "\n", + "# Import neceassry modules" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "#run: pip install openquantumcomputing\n", + "from openquantumcomputing.QAOAPortfolioOptimization import QAOAPortfolioOptimization\n", + "from openquantumcomputing.QAOAPortfolioOptimization_mixer import QAOAPortfolioOptimization_mixer\n", + "from asset_loader import AssetData\n", + "from utilities_portOpt import computeMinMaxCosts, computeAverageApproxRatio, approxRatio\n", + "from qiskit import *\n", + "import numpy as np\n", + "import matplotlib.pyplot as pl\n", + "from mpl_toolkits.axes_grid1 import make_axes_locatable\n", + "from qiskit.visualization import *\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Creating problem instance" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "c:\\Users\\olaib\\QuantumComputing\\optimization\\PortfolioOptimization\\asset_loader.py:41: UserWarning: FixedFormatter should only be used together with FixedLocator\n", + " axs[0].set_xticklabels(axs[0].get_xticklabels(), rotation=-30)\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "number_of_assets = 4 \n", + "budget = 2\n", + "\n", + "filename = os.path.join(\"data\", \"qiskit_finance_seeds.npz\") #filename of file containing time series of \n", + " #non-crashing stocks.\n", + "seeds = np.load(filename)\n", + "assets = AssetData(number_of_assets, seed=seeds[str(number_of_assets)][132])\n", + "\n", + "assets.plotAssets()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Creating QAOA instances for both methods" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Its now computing the feasible subspace\n" + ] + } + ], + "source": [ + "gamma_scale = 5000 #Adjusts the search range for the gamma parameter \n", + "\n", + "#See Sebastian Brandhofer et al. “Benchmarking the performance of portfolio optimization with QAOA”. In:\n", + "#Quantum Information Processing 22.1 (2023), page 25-26)\n", + "#or Zichang He et al. #Alignment between Initial State and Mixer Improves QAOA Performance for \n", + "#Constrained Portfolio Optimization page 7 (2023)\n", + "\n", + "params_penalty = {\n", + " \"risk\" : 0.5*gamma_scale,\n", + " \"budget\": budget,\n", + " \"penalty\": 4*gamma_scale, #Use optimal penalty?????\n", + " \"cov_matrix\": assets.cov_matrix,\n", + " \"exp_return\": assets.exp_return*gamma_scale,\n", + " \"usebarrier\": False #OBS: only set to true for drawing NOT for simulations\n", + "}\n", + "\n", + "params_XY_mixer = {\n", + " \"risk\" : 0.5*gamma_scale,\n", + " \"budget\": budget,\n", + " \"cov_matrix\": assets.cov_matrix,\n", + " \"exp_return\": assets.exp_return*gamma_scale,\n", + " \"usebarrier\": False #OBS: only set to true for drawing NOT for simulations\n", + "}\n", + "\n", + "qaoaport_opt_penalty = QAOAPortfolioOptimization(params=params_penalty)\n", + "qaoaport_opt_XYmixer = QAOAPortfolioOptimization_mixer(params = params_XY_mixer)\n", + "\n", + "qaoaport_opt_penalty.createParameterizedCircuit(1)\n", + "qaoaport_opt_XYmixer.createParameterizedCircuit(1)\n", + "#createParameterizedCircuit(depth) must be called to create circuit before drawing. T\n", + " #The argument \"1\" of the function is the depth of the circuit\n", + " " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Drawing quantum circuit for penalty method" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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7JlOa8wMnpwHY19dbpZ3HyrfszmMFywNVpaTj4aiwTrrj+ic17bN/6tTZRL21eLQeuXWWggMaGVgtAEcWHh6uuXPnKjw83OhSALsICgrS2rVrFRERIUk6fPiwevTooYkTJyo9vWLfxPzjjz90zTXX6OOPPy40fefOnYRjAGo0hw7IUlJSNGDAACUnJ2vChAlKSkrS1q1blZycrKlTp2rFihWKjY2VyWRSu3btytVmTEyMJOnaa6+tytIBq6G9npeLi6s+Wv1CsfPfXvKQcnKzNPHuBdVbGIAq8d3Oii2ffE6KO1o1tQBwPulZBcMqVsSmfQXrAVWlpOPhob2ek6uLmx5+60q1bx6t6A6DDaoQgDPIz89Xeno6J/rhMGbNmqUrrrhCkrRv3z51795dmzdvtrm9fv366a677io0rXXr1rrhhhsqUyYAVCmHDsjGjx+vxMREjRs3TjNmzJCfn5913qRJk9S+fXvl5eUpPDxc/v7+Zba3cuVKff3119b1geoQGtxc0e0Ha1vC94o7sKHQvC9/nqlfdy/XyyO+kqcHVzUCtd2xM9LBUxVf7+cKnswGgJL8sr/iV6XmmaVf91dNPYBU8vGwm6u7WoV307mMFPW56j4DKwTgDOLj49W5c2fFx8cbXQpQabfddpsGDy74Ysnp06fVq1cvHTtWziEEitG/f38tWbLEOqzi77//NSzKvHnz5OvrW7mCAaCKOGxAtnv3bsXExCg4OFivv/56sct06tRJktS+ffsy29u/f7+GDRsmqSB469atW6H5ixcv1u23366mTZvK29tbLVq00LPPPlvhS5KB4tzT81m5mFz00Zq/vjW7PWG95q6YrOeHfaGQoHDjigNgN/HHbVsv4YSUk2ffWgA4p/gk29bbbeN6QHkVdzwcd2CD1mxZoEHdx+m9ZY8qO/eCgRUCAFA7eHh46N1337U+fuSRR3TkyBGb2/t7OPbJJ5/ommuu0bp16yRJTZs21XPPPVe5ogGgirgZXUBVWbRokcxms4YOHVritxS8vLwklR2QJScnq2/fvkpNTVXv3r01Y8aMIsvMmDFDTZo00WuvvaawsDBt375dL7/8sn788Uf99NNPcnGxLYuMjIy0eV178XDz0pxxXJ5QldpH3KDvpltKnN+0QUutnvbXMA7JqYf06sd3aVT/6WofcUM1VIiLIqMilZPnfCdfbn4mVt4BDZWUnKSwsM5Gl+OwWveZpJY3jrdp3ZZtrlR2ug2XnwHAJXqOX6W6oW0rvF7s1jiFjehXBRWhJqiOzwMVPR6+kJ2u6TEjNLLfFA3o+rAmfHC95q96Rg8PfLNK65Sc93gQcEQjRowo97JJSQXfBlm5cqW2bdtW7vUWLFhQwapqllvve0w+vv7/+ywYVuI0R/b37a3p2282lz4cwB133KGGDRtKkpYvX65FixbZ3Fdx4djFe46NHDlSu3fvlqenp0aNGqWXXnpJWVnFj8tdE85/Aqi9QkJCtGXLFpvWddiA7OK3FKKjo0tcJjExUVLpAdnFUCwhIUHdu3fXl19+KXd39yLLffPNN6pXr5718fXXX6969epp6NCh+vnnn3XdddfZtB0XD8CM5OnO0H01SVZOpl5ccIu6thqoW7qPM7ocp5N0/LiycjONLqPaXRxnPz8/v1LDLqB0jVJO2Lzu0UP7lJudYcdqADijC+nnVNeG9TLTz7J/cGA18fPA7G8mKCTocg3sNkYmk0kT71qgh97qoO5tblW7ZrZ99iovZz0eBBxRZmb5X8sXT+xnZWVVaL3avn80/++zoPmSz4LFTXNkf9/e2r79Y8eOtf48ZcoUm9spLRyTpEOHDikmJkbDhw9XUFCQBg8eXGJgXBPOfwJwTg4bkB0+fFhSwWW8xcnLy9PGjRsllRyQpaWlqW/fvoqLi1PHjh21YsUKeXsX/+Hw0nDsoquuukpS5Q6GGjZsaPg3KDzcvAztH4VtiFuiA0k7dCxlr37YEVNk/rwnd6l+3SYGVOYcGjZq5JTfGHZ1dbX+HxoaanA1jisv7YAkyWKxyGQylXu9tBN7VT84UFJgldQFwHmkn9wlXdGjwutlnNjF/sGB1bTPA7/Fr9IPO2I054k/rPvLRsERGtlvimbE3KfZE/6Ql4dPlfXvrMeDgCMq6RxPcTw9Pa3/V2S92r5/dPnfZ0GXSz4LFjfNkf19e2v69pvN5hIDpyZNmlhvG/PHH39Yz41WVFnh2EXvvfeehg8fLkkaMmRIiQFZTTj/CaD2CgkJsXldhw3IMjIKvkV/4ULxH1xiYmKUkpIiPz8/XX755UXmZ2Zmqn///oqNjVXLli21evVqBQQEVKiG9evXS5JatmxZwer/sm/fPvn4VN2Hu/LIz5HWzzS0BFzipk7DdFOnYUaX4bT27d0nVw+jq6h+Ly6Vzl2QGoY0tF59C/szW6TXv5FOnS9/OCZJI/4RpflP8HsBUHkn06TXvqn4eh9Nf1D1Zj9o/4JQI9S0zwNdWvTTV6+cLTJ9UPexGtR9bNEV7MxZjwcBRxQfH1/uZXNzczVy5Ej5+fkVO7JQSV599VVbSqsxXpv1idLSMwp9FixumiP7+/bW9O3PyMgo8XYznTv/dcuEr7/+2qb2yxuOSdJvv/2m5ORkhYSEqFOnTiW2WRPOfwJwTg4bzV9MDbdu3VpkXlJSkiZOnChJateuXZFv6efk5OjWW2/Vhg0bFBERobVr1yo4OLhC/R87dkzPP/+8+vbtqw4dOti2EQAAp+Jikq67omLreHlInYt+zwMAbFLfX2rVqGLrtA6V6vlXTT0AANQU7u7uCgoKqlA4BtQ0l4ZUttyvpyLh2N/7CQoKKvYiBQAwksMGZL169ZIkTZ06VXv37rVOj42NVXR0tFJSUiSpSHiVn5+vIUOGaM2aNQoLC9PatWvVqFHFzhKkp6dr0KBB8vDw0Pz58yu3IQAAp9IjSroqvHzLurlII68rCMkAwF6GdJXq+ZVv2Xp+0j3XVG09AADUBEeOHNGYMWN05MgRo0sBbNaiRQvrzzt27KjQuraEY5K0fft268+VGWULAKqCww6xOGnSJH366ac6evSoWrdurRYtWigrK0sJCQnq16+fwsPDtXr16iL3H/v888+1ZMkSSZKHh4fuvffeEvtYvHhxkfEtL1y4oAEDBujgwYPasGGDGjZsaP+NAwA4LJOp4OS0r6f0056CYReLE+AlDe8hNatfvfUBcHy+ntL43tKCDdL+kyUv17xBwfuQr2f11QYAgFHOnz+v9evXa+zYqh/KFagqqampOnz4sLy8vHTmzJlyr9evXz+bwjFJSk5OVlJSki5cuKC8vDybaweAquCwAVlYWJg2bNigiRMn6scff9ShQ4fUqlUrzZ49W6NGjVJERIQkFQnIsrOzrT8fOHBABw4cKLGPrKysQo9zc3N1xx13aMuWLfr+++/VqlUrO24RAMBZuLhIt3SSbmgp/ZIgbT8inTgnWVRw1diw7lKbMMnVYa8DB2A0P0/pkZukI6eln/dKsQcli6UgxO/STOoeKTW5zOgqAQAAUBEPPPCATevt379fKSkpatSoUYXCMUmaNWuWZs2aZVO/AFDVHDYgkwou212+fHmR6enp6Tp06JBcXFzUpk2bQvNGjBihESNGVLgvs9msoUOH6vvvv9fKlSvVpUsXW8sGAECSFOgt9W1X8O/FpdK5C5JPHal9E6MrA+AsmlxWcFXrnqSC9yB/T4ZUBAAAcDZ79+5VdHS0xowZowkTJpQ7HAOAms6hA7KS7Ny5UxaLRVFRUfL29rZLm2PHjtUXX3yhp556St7e3vrll1+s8yIiIlSvXj279OMIZn01Xpt3LdOJM4f1/mPb1Dy0g3Ve4ql9mh4zXOcyUuTjGaCJdy9QeEhrm+fl5Gbp358M1uETu1TH3UuBvvU1/rb3FRrcvFBNZS0XG/+tPlz9nPLyclTHw1uP3T5bEY3al7leSdualnFaE2f3tPafnZuppNQD+uLFk5LFYtM8f++gEuu81LexH+r/Pr9fLw3/Ut3b3CJJmjynt86cT5bJ5CJvTz+NHTRTzUOvlMVikclk0sI1L6n3VSPUoG5TmUymSvz2a4bS/pYAAABgH6UdK5d0nHnTRJO+/NcZ+XoFVqivhWte0uDop+ThbvuYnxwjAgBQsr179+qxxx4zugwAsCunDMji4uIkFR1esTJWrVolSZoyZYqmTJlSaN6HH35o01Vpjuradnforhsm6fH3ehSZ9/aSB3Xz1aPVp/MI/fTHYk2PGaFZj8ZWat7NV49Wlxb9ZDKZ9NXGd/XGFw/o/x7+oUjfJS13PvOMXl80VG88/JPCQ1or7sAGTfl0qP7z5J9ltl/Stvr7XKbZT2y3Pv7ihxn648CP8vcOkiSb5pVVpyQlpx7Sql//o5ZNCn/1+/lhn1tPQvwc96Wmx4zQ7Cd2aEPcEu05GqvcvGztOfqbFnz7nMYMelv+PrV7TKXS/l4AAABgPyUdK5d0nGmr/373sm679rFKBWQcIwIoTYMGDTR58mQ1aNDA6FIAAICdEJDZyaFDh+zWlqNr1+y6YqefST+pvYlbNGXUGknStW1v17tfjtOxlAR5e/rbNC80uLmubnmztY+WTa7R4h9nFOnbw92zxOWOn94vf+/LrN8ebdvsWp08e0T7ErcqMqxjqe2XtK1/typ2nkb2e71S88qq02w2640vHtDYW97R7G8mFGrn0m/oZmSdk1Rwldh17e5Qg7pNNWl2Tx1I2qHXRq6Sh7unNv35teauekrurh666oq++va3eZr16BaFBIVLkl7/dKiOntqjvLwc1QtsrAl3zlOQf4hummjSiL6v6pedy3Qm/YQeHviWjpzcrQ1xS5SRdU5P3PEftY+4QZIqtGxJ/RWntL+zv19ZCAAAANuVdoxd0nGmJH3x4wz9unuFsnIyNOymF9Wz41BrG3uOxmruisnKyE6T2Zyve258RtsSvpckPf7etXIxuWrK6DWq61ufY0QAdhUcHMyXnwEAcDA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" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "qaoaport_opt_penalty.parameterized_circuit.draw(output = 'mpl') " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Drawing quantum circuit for XY-mixer method" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "qaoaport_opt_XYmixer.parameterized_circuit.draw(output = 'mpl') " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Sample and plot the cost landscape for penalty method" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Calculating Energy landscape for depth p=1...\n", + "Executing sample_cost_landscape\n", + "parameters: 2\n", + "Done execute\n", + "Done measurement\n", + "Calculating Energy landscape done\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "qaoaport_opt_penalty.sample_cost_landscape(angles={\"gamma\": [0,np.pi/2,10], \"beta\": [0,np.pi/2,10]})\n", + "f = pl.figure(figsize=(6, 6), dpi= 80, facecolor='w', edgecolor='k');\n", + "_=pl.xlabel(r'$\\gamma$')\n", + "_=pl.ylabel(r'$\\beta$')\n", + "ax = pl.gca()\n", + "_=pl.title('Expectation value')\n", + "im = ax.imshow(qaoaport_opt_penalty.E,interpolation='bicubic',origin='lower',extent=[0,np.pi/2,0,np.pi/2])\n", + "divider = make_axes_locatable(ax)\n", + "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n", + "_=pl.colorbar(im, cax=cax)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Sample and plot the cost landscape for XY-mixer method" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Calculating Energy landscape for depth p=1...\n", + "Executing sample_cost_landscape\n", + "parameters: 2\n", + "Done execute\n", + "Done measurement\n", + "Calculating Energy landscape done\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "qaoaport_opt_XYmixer.sample_cost_landscape(angles={\"gamma\": [0,np.pi/2,10], \"beta\": [0,2*np.pi,10]})\n", + "f = pl.figure(figsize=(6, 6), dpi= 80, facecolor='w', edgecolor='k');\n", + "_=pl.xlabel(r'$\\gamma$')\n", + "_=pl.ylabel(r'$\\beta$')\n", + "ax = pl.gca()\n", + "_=pl.title('Expectation value')\n", + "im = ax.imshow(qaoaport_opt_XYmixer.E,interpolation='bicubic',origin='lower',extent=[0,np.pi/2,0,2*np.pi])\n", + "divider = make_axes_locatable(ax)\n", + "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n", + "_=pl.colorbar(im, cax=cax)\n", + "#Note that the beta range is different for for the penalty method and the XY-mixer method, due to \n", + "#different periods in the mixers." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Search for the best parameters at depth = 1 and plot histogram for both methods" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "cost(depth= 1 )= 10307.60019478745\n", + "cost(depth= 1 )= -6.760658247290209\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "qaoaport_opt_penalty.increase_depth()\n", + "qaoaport_opt_XYmixer.increase_depth()\n", + "histogram_penalty = qaoaport_opt_penalty.hist(qaoaport_opt_penalty.angles_hist['d'+str(1)+'_final'])\n", + "histogram_XYmixer = qaoaport_opt_XYmixer.hist(qaoaport_opt_XYmixer.angles_hist['d'+str(1)+'_final'])\n", + "legend = ['Penalty', 'XY-mixer']\n", + "plot_distribution([histogram_penalty, histogram_XYmixer], legend = legend)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Compute and print optimal solution with minimum cost" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimal solution: 0110 \n", + " With cost: -8.103051596102887\n" + ] + } + ], + "source": [ + "min_cost, max_cost, solution = computeMinMaxCosts(number_of_assets, qaoaport_opt_penalty.cost, qaoaport_opt_penalty.isFeasible)\n", + "print(\"Optimal solution: \", solution, \"\\n With cost: \", min_cost)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Compute and print approximation ratio" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Approximation ratio (penalty method): 0.4564009717082177\n", + "Approximation ratio (XY-mixer method): 0.8091489909122119\n" + ] + } + ], + "source": [ + "approx_ratio_penalty = computeAverageApproxRatio(histogram_penalty, max_cost, min_cost, qaoaport_opt_penalty.cost, qaoaport_opt_penalty.isFeasible)\n", + "approx_ratio_XYmixer = computeAverageApproxRatio(histogram_XYmixer, max_cost, min_cost, qaoaport_opt_XYmixer.cost, qaoaport_opt_XYmixer.isFeasible)\n", + "print(\"Approximation ratio (penalty method): \", approx_ratio_penalty)\n", + "print(\"Approximation ratio (XY-mixer method): \", approx_ratio_XYmixer)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Compute and print approximation ratio (SECOND WAY)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Approximation ratio (penalty method): [-277.14102961]\n", + "Approximation ratio (XY-mixer method): [0.83560896]\n" + ] + } + ], + "source": [ + "approx_ratio_penalty2 = approxRatio(list(qaoaport_opt_penalty.costval.values()), max_cost, min_cost)\n", + "approx_ratio_XYmixer2 = approxRatio(list(qaoaport_opt_XYmixer.costval.values()), max_cost, min_cost)\n", + "print(\"Approximation ratio (penalty method): \", approx_ratio_penalty2)\n", + "print(\"Approximation ratio (XY-mixer method): \", approx_ratio_XYmixer2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Difference between approximation ratio and approximation ratio2\n", + "Approximation ratio uses the hist function, which measures the parameterized circuit 1024 times with parameters bounded to the value the optimization found. Then the approximation ratio is found by averaging over the measurement outcomes (based on the plotted hist).\n", + "Approximation ratio 2 uses the costval.values() list which is updated during the optimization with a given cost. OBS: When we are not using the CVaR method, these values should give approximately identical results." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "environment", + "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": "3.11.4" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/PortfolioOptimization/utilities_portOpt.py b/PortfolioOptimization/utilities_portOpt.py new file mode 100644 index 0000000..b2ec079 --- /dev/null +++ b/PortfolioOptimization/utilities_portOpt.py @@ -0,0 +1,55 @@ +import math +import itertools + + +def approxRatio(cost, max_feasible, min_feasible): + #Approximation ratio for feasible solutions of the portfolio optimization problem. Unfeasible solutions + #have approximation ratio zero. + #https://link.springer.com/article/10.1007/s11128-022-03766-5 + approx_ratio = (cost-max_feasible)/(min_feasible-max_feasible) + return approx_ratio + + + + +def computeMinMaxCosts(N_assets, minusCostFunction, isFeasible): + best_sol= None + min_cost = math.inf + costs_feasible = [] + costs = [] + for s in [''.join(i) for i in itertools.product('01', repeat = N_assets)]: + + c_penalty = -minusCostFunction(s) #function returns -cost + costs.append(c_penalty) + if isFeasible(s): + costs_feasible.append(c_penalty) + if c_penalty < min_cost and isFeasible(s): + + best_sol = s[::-1] #Qiskit uses big endian encoding, cost function uses litle endian encoding. + #Therefore the string is reversed before passing it to the cost function. + min_cost= c_penalty + else: + pass + return min_cost, max(costs_feasible), best_sol + + + + +def computeAverageApproxRatio(hist, max_feasible, min_feasible, minusCostFunction, isFeasible): + #Takes in histogram and computes the average approximation ratio + tot_shots = 0 + avg_approx_ratio = 0 + + for key in hist: + + shots = hist[key] + tot_shots = tot_shots + shots + + if isFeasible(key): + cost = -minusCostFunction(key[::-1]) #Qiskit uses big endian encoding, cost function uses litle endian encoding. + #Therefore the string is reversed before passing it to the cost function. + approx_for_key = approxRatio(cost, max_feasible, min_feasible)*shots + avg_approx_ratio += approx_for_key + + avg_approx_ratio = avg_approx_ratio/tot_shots + return avg_approx_ratio \ No newline at end of file diff --git a/README.md b/README.md index 8daf2af..cf4833d 100644 --- a/README.md +++ b/README.md @@ -1,2 +1,17 @@ -# optimization -Algorithms for optimization tasks (operations research) +# Openquantumcomputing QAOA +A python library for for quantum optimization using QAOA on quantum computer simulators. + +# Installation instructions +The latest version of openquantumcomputing is installed directly from PyPI by the following command: + +''' +pip install openquantumcomputing +''' +... +# Example notebooks +Under the optimization folder a number of examples of use of the library can be found in different notebooks, for different optimization problems. All of the notebooks are roughly structured in the following way: +1. Importing necassary modules +2. Creating problem instance +3. Creating QAOA instance +4. Increasing depth for the QAOA instances +5. Computing and plotting the approximation ratio for the given problem \ No newline at end of file From 1b0d2f33a3caa623ed52387f39f6729c63d11017 Mon Sep 17 00:00:00 2001 From: OlaiBM Date: Mon, 11 Sep 2023 10:25:53 +0200 Subject: [PATCH 2/2] Moved comments in code to markdown. Added comments to figures. --- ExactCover/CVaR_ExactCover.ipynb | 8 +-- .../ComparisonOptimizer_ExactCover.ipynb | 21 ++++---- ExactCover/ToyExample_ExactCover.ipynb | 51 +++++++++++-------- MaxCut/CVaR.ipynb | 22 ++++---- MaxCut/ComparisonOptimizers.ipynb | 18 ++++--- MaxCut/ToyExampleQOA.ipynb | 45 +++++++++------- PortfolioOptimization/CVaR_PortOpt.ipynb | 24 ++++----- .../ComparisonOptimizers_PortOpt.ipynb | 43 +++++++++------- .../ToyExample_PortOpt.ipynb | 31 ++++++----- 9 files changed, 150 insertions(+), 113 deletions(-) diff --git a/ExactCover/CVaR_ExactCover.ipynb b/ExactCover/CVaR_ExactCover.ipynb index 574e347..fb2a338 100644 --- a/ExactCover/CVaR_ExactCover.ipynb +++ b/ExactCover/CVaR_ExactCover.ipynb @@ -75,7 +75,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Sampling cost landscape for all methods" + "# Sampling cost landscape for all methods\n", + "Below the cost landscape of both the standard QAOA method and the QAOA CVaR method is shown. They are seen to be different as is expected since the cost is calculated differently for the two methods." ] }, { @@ -109,8 +110,6 @@ } ], "source": [ - "# Evaluating the QAOA circuit with uniformly sampled angles for gamma and beta, just to see how sampling measurements from \n", - "# the circuits roughly looks like.\n", "qaoaec.sample_cost_landscape(angles={\"gamma\": [0,np.pi/2,10], \"beta\": [0,np.pi/2,10]})\n", "qaoaec_CVaR.sample_cost_landscape(angles={\"gamma\": [0,np.pi/2,10], \"beta\": [0,np.pi/2,10]})" ] @@ -238,7 +237,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Compute and plot approximation ratio" + "# Compute and plot approximation ratio\n", + "Below the approximation ratio is plotted for the two methods. The QAOA method with CVaR is seen to perform better." ] }, { diff --git a/ExactCover/ComparisonOptimizer_ExactCover.ipynb b/ExactCover/ComparisonOptimizer_ExactCover.ipynb index 97d96df..720f4db 100644 --- a/ExactCover/ComparisonOptimizer_ExactCover.ipynb +++ b/ExactCover/ComparisonOptimizer_ExactCover.ipynb @@ -177,7 +177,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Plot cost landscape for one optimizer method" + "# Plotting the cost landscape\n", + "The cost landscape is of course the same for all the optimizer methods and is plotted below." ] }, { @@ -311,7 +312,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Compute and plot approximation ratio" + "# Plotting the approximation ratio\n", + "Below the approximation ratios are plotted for the different optimizers." ] }, { @@ -339,8 +341,7 @@ "pl.xlim(1-0.05,maxdepth+0.05)\n", "_=pl.ylabel('appr. ratio')\n", "_=pl.xlabel('depth')\n", - "_=pl.legend(loc=\"lower right\", framealpha=1)\n", - "#ax.xaxis.set_major_locator(MaxNLocator(integer=True))" + "_=pl.legend(loc=\"lower right\", framealpha=1)" ] }, { @@ -396,7 +397,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Plotting the values for the parameters found by the different optimizers" + "# Plotting the values for the parameters found by the different optimizers\n", + "Below we plot the values for $\\gamma$ and $\\beta$ parameters found by the different optimizers." ] }, { @@ -423,15 +425,15 @@ "pl.xlim(1-.25,maxdepth+.25)\n", "_=pl.ylabel('parameter')\n", "_=pl.xlabel('depth')\n", - "_=pl.legend()\n", - "#ax.xaxis.set_major_loc" + "_=pl.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "# Plotting the number of function evaluations used by each optimizer " + "# Plotting the number of function evaluations used by each optimizer \n", + "Below the number of function evaluations used by the different optimizers are plotted for increasing depths. " ] }, { @@ -457,8 +459,7 @@ "pl.xlim(1-.05,maxdepth+.05)\n", "_=pl.ylabel('number of function evaluations')\n", "_=pl.xlabel('depth')\n", - "_=pl.legend()\n", - "#ax.xaxis.set_major_locator(MaxNLocator(integer=True))" + "_=pl.legend()" ] }, { diff --git a/ExactCover/ToyExample_ExactCover.ipynb b/ExactCover/ToyExample_ExactCover.ipynb index 4617840..780a486 100644 --- a/ExactCover/ToyExample_ExactCover.ipynb +++ b/ExactCover/ToyExample_ExactCover.ipynb @@ -12,11 +12,14 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "#run: pip install openquantumcomputing\n", + "import sys\n", + " # caution: path[0] is reserved for script path (or '' in REPL)\n", + "sys.path.insert(1, '/Users/olaib/QuantumComputing/OpenQuantumComputing')\n", "from openquantumcomputing.QAOAExactCover import QAOAExactCover\n", "from utilities_exactCover import computeOptimalSolution, computeAverageApproxRatio\n", "from tailassignment_loader import *\n", @@ -36,7 +39,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ @@ -53,22 +56,23 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Creating a QAOA instance and drawing the quantum circuit" + "# Creating a QAOA instance and drawing the quantum circuit\n", + "Below the quantum circuit for the QAOA method is shown. The circuit corresponds to preparation of the $\\gamma$ and $\\beta$ dependent state: $|\\gamma, \\beta\\rangle = e^{-iH_{M}\\beta}e^{-iH_C\\gamma}|0\\rangle $, where $|0\\rangle$ is the equal superposition over all computational basis states prepared by the hadamard gates. $H_M$ and $H_C$ are the mixer and cost hamiltonian respectively." ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 12, "metadata": {}, "outputs": [ { "data": { - "image/png": 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cJ6MyhqsRKeouXIPzMeaXu5YAxy9aPByb2J3HIZd2n7JoGCIiNpPnflBD1llVdt8HDpzYyro/F9Kj1Qjm/vAiSSlm3N4rImY7cuQITZo04cgRM24fK6TGjRtH7dq1AdizZw9jx47Nc123JiLi4+Pp2LGj6a4LT09P5s2bl/+gRcQqLDPbciGydOlS0tPT6devH56entluU6JECcAyyQg3NzfT3yNGjMDZ2TnLend3d4YOHcr48eP56aefmDZt2h3ru3z5MmvWrAFyHqLp+vXrhIaG4uPjw9KlS0lISGDs2LE89NBDbN++PcstauZo3LgxkZGRZpVxdC7BIxOO5am97NQOHUxIs8ezXffdpAct0kbVkBDSCuCDs4tTCeaPsNxzY0n1gtvwy9Scr0GrVL4GP0+5cfVFZPQpJnzVi+cemkq94DYFEGH+hFQNITm18H85CmrSh8aP3blPyEnrdl25Er7PwhGJFCzfe5vTZsiKPJUdMGg4Z/f9z8IRFbxOY7fhWSbI7HI//rKF13r3tXxAIiIF7OH3j+HkUsLscgu/WsHw7i9ZPqBCwtrfJcz9PpCQFMvU5QMZ1HkS3VoMZfSnD/D52tcZ2n2G1WLMVFQ+24vkhjlDcWeOxPHjjz+yZ0/ux6dbuHChmVHlX/odxhB1dXXlhRdeADKGJR84cCCpqal5aie7RETmZNV//fUXXbp0oVKlSnTo0IG6deuaJrnOTkhISJ7Pn4kUd35+fvz55595Kmt3yYiNGzcCEBoamuM2mcMlWSIZcfOdCzmNS5e5/OTJk3etb+nSpSQnJ+Pn50fHjh2z3Wb+/PmcO3eOLVu2ULFiRQACAwNp2bIlP/zwAw8//LCZe5EhMjKSc+fOmVXGydWyQ/V4+4VQsXZ7i9Z5q/MR50lNirdqGwBuzvYxjFFicjzjFz5Mi5rdebjVCFuHkysR58+TmGL91zi/vCpfynPZyIhzRJl5vIoUNunueR9rKOrSBbP/ZxVGKcm5n6jvZglxsXax/yIiaWkpOGF+MiL2+lW77gcL23eJeatG4+dzL91bDsNgMDCm10KGzKxPq9qPULdya6u2XVQ+24vkRnx87t/LiYmJpt/mlCtsfeNjjz1G2bIZo1188803d0wQ3MmdEhEAsbGxTJ48mblz5wIwdOhQhg4dmmN9mckeESlYdpeMOH06437dSpUqZbs+NTWV7du3A5ZJRlSvXt30t4uLS7bbZN49kZtx/hYtWgRAv379cHR0zHab1atXc99995kSEQAtWrSgcuXKrFq1Ks/JCD8/P7PLODqb/8XB1u7xv6fA7oywB1sPrORExD7ORR1l877lt63/7JVDlCtdMZuStuN/zz1F4uop57QYAIxGIwaDIdfl0lOT8XRJxTUgwEqRiRQMN8cEjOlpGByy/3+XnczjxcV4lQA7OAYSY86CfzWzy6XERtjF/ouIxF8+hWtgXbPLpSdctOt+sDB9l/jjyFo271vO/Jf3mz6z3uMbzKDOk5i2/Gnmjd5PCRcPq7VfVD7bi+SGu3vuE42Z55Lc3NzMKmeLvjE9PT3Hk/vPPPOM6e/MRIG57paIyPTVV18xefJkSpYsyZNPPsmLL75IcnL2YyP7+/vrzgiRPMrLOeRMdpeMyJzDISEh+w8ry5cvJyoqipIlS3Lvvffmu72AgAAqVqzImTNnOHHiRLZ3ZBw/njFDbWBg4B3rOnTokOkWlzvdunfo0CEef/z2oYxq1arFoUOHzIg+q7zcXpOUCuNuPz9dqB09dgzXAnjnpyXDptnWb8faHmzUnwcb9bd1GGY5dvQYjtnnBgsVoxEmr4HIq7lPRAA0qeLC7GN/WykqkYK14Ff4Ozz32xsMBiqWgYO7frFeUAXowFn4bIv55RZ8OAj/TwZZPiARkQK2/Sh8s8u8Mg4G+O6/r+FV4jXrBFUIFKbvEk2rd+b792NuW96j1XB6tBpu9faLymd7kdwwZ/6HgwcP8vnnn9OlSxdq1aqV63ITJkzIS2j5EhcXl+1Q6Q4ODjRr1gzIuHg48+Jgc+Q2EQEZw5r/8MMPpqHba9euze7du7Ot99ixY3h4WC+RKiLZs7sUYGZmJrvOJiIigjFjxgBQt25ds65EvpNevXoBN+5quJnRaDSN19e2bds71pM5cXXDhg1NE/tk58qVK3h7e9+23MfHh+jo6FxGLSK2ZjDAfVXNL9cqxPKxiNhKcT8GagaAt5kjcQSXA39vq4QjIlLgGt0Lbs533+5m9SqCV+G5cUBExCqqVq3K9u3bqVo1Dx+YC4lq1aqZTvjv2mVm5hnzEhGZbm6nUaNGZrcpItZld8mI9u0z5huYPHkyR48eNS3ftWsXoaGhREVFAVC/fn2LtTlmzBi8vLzYunUr77//vmk4ptTUVMaNG8e+fftwdXVl1KhROdaRnp7OV199BcCAAQMsFpuIFG4tqkB1/9xvH1oDKpezXjwiBa2aH7Q0I7lQtwI0yf+NjYWGowP0b5XxOzfcXaB3M+vGJCJSkNycoW8LyO1lYqXd4WGdWxKRYsDZ2RkfHx+cnc3M2BYideveGIYvpzsUcpKXRATAX3/9ZfrbEsOzi4hl2V0yYuzYsZQpU4azZ89Sq1Yt6tSpQ0hICE2bNqVy5cqmuxOy65C2b9+Or6+v6Wf69OkALFu2LMvyW28rK1euHMuWLcPV1ZW3334bf39/mjVrhp+fH1OnTsXJyYkFCxbkOME1wPr16zl37hzOzs707dv3jvtYunRpYmJiblseHR2Nj4/P3Z4iESlEHB3gmdZQ+86juAHQtgZ0a2D9mEQKksEAjzXO3R0S9StmnLi3t6Fdg8vB4DbcdQjBUiVgRHso51UgYYmIFJi6FeCp++6emC3nBSMezOgPRUTs3ZkzZxg2bBhnzpyxdSh5VqpUKdPfkZGRuS6X10QEwIULF0x/lyxZ0oxoRaQg2N2cEYGBgWzdupUxY8bw66+/curUKWrWrMm8efN47rnnCA4OBrJPRqSkpHD58uXbliclJZGUlJRlu1t17tyZPXv2MHHiRDZs2MCePXvw8fGhV69ejBs3joYNG94x7swhnrp27Yqvr+8dt61Ro0a2c0McOnSI1q1b37FsYRVYsw0vfmW84zZ3Wy9SVLk4ZSQkjkXCtqPw97mM+SQyNQ/OGJamQhnbxShiTQ4O8GjjjDseth2DPacgNf3G+noV4b4QqFI+I3lhj6r5w5s94PfjsP0YXIm7sc6vVEaypnEehjIRESkqGlSCIF/YEZbxcz3xxrqKZTL6wfoVMz43iYgUB9evX2fTpk0MH279uVms5csvv2TNmjWUKFGCS5cu5bqcj4+PaZ4McxIRAKdOnaJq1aokJiZy7dq1PMUtItZjMBqNxeYMb2xsLF5eXhgMBq5fv467u5mDNBcS06ZN4/XXX+fEiROmSbF///13mjdvzrfffssjjzxSYLEUxQmsJ/e++9WnllCYJp0rbkJHUqQnuUtIhg9+gNgk8HKD9x61dUQiBSspFSZ8D9eL6TGQng7jv8s4EVfSDd7rab9JGBGR7KSlwzvfZvwfKOkG7xez/wOQt+8SySmJfLCkD6cvHMLVuQTenuUY2fMTAnyrYDQaMRgMLF73Dh0aD6R86UoYDAYeHGPgu/eu4FnC26y2Fq97hz6hr+Li7GZekDcJv3SMqcsHcDUuCg+3UozpvZAgv9sn6S3qn+1FbmbuBNaPPfYYK1asMGsC6+rVq+cltHzJaQLr/AgMDGTNmjWMHDky14kIc8TGxmoCaxEbsLOBDu7s4MGDGI1GQkJCimwiAmDw4MH4+/vTo0cPVq9ezYoVK3jiiSdo2rQpPXr0sHV4IpJPJVxuDFOgE5BSHLk63RiKqTgeAw4O4PDvfjsYiudzICLFm6PDjf8DDuoDzdKl2WC+GPsP817eR4taPZj+zbMAbD2wkv+uGUdsQgz/nP2DyUv7cy3u9lEBcuvLX94lOTXx7hvewayVz9Ol2WAWjjtK79BxTF0+MF/1iYh9CQ8Pp0GDBlZJRIiI7RSrm1wPHDgAFP0JbLy8vNi4cSMvvvgiffr0wcnJiYceeogZM2bgYG8Dadup3FwFtCdsI5/9+CoJSbEYDAaaVe/KoC6TcHBwIDL6FAMmBRPkV8e0/finVnKPb7DpqqcpywYyts9C02N7sPaPz1i2aRLG9HTqV2nLyJ5zcXLUmCUiIiIiIi7ObjSr0cX0uEbF5qz4dRoAres+RvnSlRg7rx0nIvYxcdBa010N3/w6jd8PryExOY7+D46nXcN+pjr+ObuLBWvGEZd0jfT0NJ5o+zp7wjYAMGru/TgYHJk0eB2lPcvx4df9OHvpH1JTkynrXYHRj3+Gj5dftrFeib3I0fA/mfTcOgDur/Moc74bwbmoMAJ8q1jl+RGRoic9Pf3uG4lIkaJkRBEVHBzM6tWrbR2G5FHmVUAdmwxky/4VTF0+kI9f3JVlm5IlSvNGv2X4l6lMckoiY+e355e/FtOxyUAASriWZN7Le2+r+6tf3sPLw5f09FQ27vmag6d+44VH5hTAXllXRPRJFv78Fp+8uJvSJcvz9sIerNk5nx6tiu74mSIiIiIi1vLdtlm0qJVx5/zWA99y5MzvdGjyNLWDWjFjxWCGdp8BgAEDn47aQ8TlEwyf1ZhaQa3w8wkiNiGGGSsG88GgHynj5c/VuCiGzmzI7BE7WLNzHjOGbc0yvNPQ7jPx9iwLwLKNk1j8yzu89Oin2cZ2KeYsPl7+ODpmnJIwGAyUK12RizFnlIwQ+Vf58uUZN24c5cuXt3UoIiIWo2SESAHL7VVAVQIamP52cXYj+J76XLhy6q719+8wnlW/fcKGPUvw9Q40JSIuX4tgyrIBRF0Nx7dUIF7uPlQoV52nOrzD7mMbWPjTmySnJpKalsyjrV+mc9NBAExZNhBnJxciLp8g4vJx6lUJ5aHmQ/jvmrFcjDlDq1oPM6T7dABGf9KGkMBGHD27i8grp+jQaAA1KrVg6caJRF0N5+FWI3nsgZcBmLfqFfaf+JXUtBQ83LwY9dh/qVCuWo77tXX/ClrU7G66uuqh5kNYunGikhEiIiIiUiyM/KgF56KOZbvuk1F7KOddwfT46w0TOR8VxpTnM+5iuK/2I9xfpyeL171DtQpNaV33cdPd052bZQzl5F+mMnUqt+bAiS34+QRx8NRvRESf4PUFnbO0dfbSP9nGsHHP16zf/SUpKYkkpybi5eGb730WKc58fX0ZOHCgrcMQEbGoYpWM2Lhxo61DEMnTVUDR1yLZun8F7z9z426YxOQ4hs9qQroxjZa1HqZvuzdwdHDkq1/ex9O9NO0a9ONevzp8/L8XGd5jFh//byQ1K7VgQMd3ib4WyZAZ9alQLmNiq5CAhswYvg1HB0euxUczdEYDGlftSFnvjAnST0YcYNqQTRgMDjw7rSax8VeYPPgXUtKSeerDynRqOsg0zNTFK6eZOmQT8YnXePLDIK4nXGHGsK1cvnaep6dUo1PTZ/As4U3v0HE83y3jtvFNe5cx938v8uFzP+X4vF2MOUP50pVMj/18grgYcyYfr4SIiIiISNEx+4Ududrum83T2Pb3t0wZvB43l4y5EjMTD091eOfuFZiGeDUSVL4Ws0b8dtcif5/cxvfbZjPrhR2U9izHbwd/YNHPb+e4fVnvCkRfiyAtLRVHRyeMRiMXr5yhnHfFu8cnUkxcvXqVHTt20KJFC0qVKmXrcERELEITDIgUcnGJ13jri270ajOWahUaA+Dj5c/St87x8Yu7mDx4PX+f3MqKX/8DQL/2b/JwqxE4ODjRrmE/hnWfCcDeYxvo1PSZf8v70azmQ6Y2rsVf5v0vH+e5abUZ82lbrsVf5lTk36b1LWv1wMXZDWcnF+71q0Ojah1xcnSmhIsHlcrXzHKF1v11H8PRwZGS7qXx96lM8xoPYTAY8C0VgLdHWSKjTwGw+9gvjPyoBc9Nq81Xv7zH8fN7rfgsioiIiIjYvxW/TmfT3qVMfu6XLEMo3cnPu74AIDL6FAdObqXOvfcDULNSSyKjT7L76HrTtmHn9pKSmoy7a0niEq+all9PuEIJ15J4uZchJTWZNTvn3bHN0p7lqBLQkPW7vwIyJtj29Q7UEE0iNwkPD2fUqFGEh4fbOhQREYspVndGiBQG5lwFFJ94ndcXdKJlrR6m4Y0AXJxccfEsB4CXuw8dmzzDpj1f0zt0rOmqp7F9FgLkOHm1gRvLZ60cQtPqXRj/1EoMBgNDZzYkOTXxRnv/Tm4H4ODgiIvTTY8NjqSlp94U2y3b3lI2LT2Vi1fOMOe7EcwZuYt7fIM5cX4/L3/S+o7PWznvipy/fNz0ODL6lK6cEhERERH516WYcOatHo2/T2Ve+TQUyPje8NHI3+9YLj09jSEzGmTced1jNn4+QQCUdC/NhGfWMH/1K8xbPZrUtBTKeVfk3YHf81jr0Yyb/yCuzu5MGryOJtU6sWH3VzwzpRpe7mVoENKeqKvn7tjuS4/OY+rygSzdOBF3Ny/G9PrCIs+DiIiIFF5KRogUsJuvAurYZGCOVwElJMXy2oJONK7WiX7t38yy7krsRUqWKI2TozPJqUls+/tbgm+aYyI79au0Zd2uhfTvMJ4r1y/w++HVdG3+PACxCVcoX7oSBoOB/Se2cOL8Psvu9C3iEq/i6OiMj5c/RqOR//129wm276/zKC/NvY+nHnyH0iXLs3rnp7Sp38eqcYqIiIiIFBVlvQP5ZarRrDKZ2w/s9H6260MCGzJ1yO3DHffvMJ7+HcZnWfbmk8uzPH6m8wd3bLtCuWq5HnpKRERE7IOSESI2kNNVQP/55lla1OxOy1rd+XbbLP45+weJyXFsO/AtAK3rPU6/dm/w98ltLP75bdOdBvWrtKVvuzfu2OawHrOYsmwAg6bWpIzXPVSv2Mx06/agLpOY/d0wvlr/PsH31Kd6xWZW3f97/evQpn4fnptWi5IeZWhV6+G7lvEvU5kBHd7lpY9bAVAvuA0P/ZtMERERERERERERkcLNYDQazbt0QuQmSakwbvndtytMJvcG1wJIw6Ulw6bZ1m8nt5JSEnBycMbR0YlrcZd5YU5zXn3iK2pYOfFgC6EjwdHF1lHkz/hv4WoClCoB7/a0dTQiBa+4HwPFff9FRIp7P1jYvkvk1ZXYi7w6v8NtyxtVfZDBD03NVR328NleJNORI0dyve3x48cZM2YMU6dOJTg4ONflqlevnpfQ8iUuLg5PT88Cbzc/YmNj8fDwsHUYIsWO7owQKSbOXTrG5GVPAUZS0pLp3mKYXSYiRERERESkcCjtWY55L++1dRgiRVJwcDDffvutrcMQEbEoJSNEionK99Qt9F8ELHHllIiIiIiIiIiIiBQ+SkaISKGhK6dERERERERE4NChQ/Tp04dly5ZRs2ZNW4cjImIRDrYOQERERERERERERG4wGo2kpKSgqV5FxJ7ozgjJFxfHjAmhixIXx4Jpx8E5Y7I1KXgOzraOQEREREQk7/Rd4gZ9thcp/Nzd3YmNjbVYfVPnLeNaXDxeHu6Meb7PbY8twd3d3SL1iIh5lIyQfDEYwFXvomwZDODoYusoRERERESkqNF3CREpSgwGAx4eHharz8XVDZeUNFxc3fDw8LjtsYgUXRqmSURERERERERERERErErXtIuIiIiIiIiIiBQiwcHB/PDDD1SoUMHWoYiIWIySESIiIiIiIiIiIoWIm5sbISEhtg5DRMSiNEyTiIiIiIiIiIhIIXLu3DnefPNNzp07Z+tQREQsRskIERERERERERGRQiQmJoaVK1cSExNj61BERCxGyQgREREREREREREREbEqJSNERERERERERERERMSqlIwQERERERERERERERGrUjJCRERERERERESkEHFwcKBJkyY4OOjUnYjYD/VoIiIiIiIiIiIihUh6ejq7du0iPT3d1qGIiFiMkhEiIiIiIiIiIiIiImJVSkaIiIiIiIiIiIiIiIhVKRkhIiIiIiIiIiIiIiJWpWSEiIiIiIiIiIhIIVKqVCm6detGqVKlbB2KiIjFONk6ABEREREREREREbkhMDCQKVOm2DoMERGL0p0RIiIiIiIiIiIihUhSUhKnT58mKSnJ1qGIiFiMkhEiIiIiIiIiIiKFSFhYGJ06dSIsLMzWoYiIWIyGaZJ8MRohOc3WUZjHxREMBsvWaTRCeopl6xTLcnC2/Osu1qHjKSu9d0VERERERAovo9FIfHy8rcMwi7u7OwZ90RQbUDJC8iU5DcYtt3UU5pncG1wt/M5PT4FNsy1bp1hW6EhwdLF1FJIbOp6y0ntXRERERESk8IqPj8fT09PWYZglNjYWDw8PW4chxZCGaRIREREREREREREREatSMkJERERERERERERERKxKwzSJiIiIiIiIiIgUIrVq1eLw4cO2DkNExKJ0Z4SIiIiIiIiIiIiIiFiVkhEiIiIiIiIiIiKFyMmTJ+nTpw8nT560dSgiIhajZISIiIiIiIiIiEghEh8fz759+4iPj7d1KCIiFqNkhIiIiIiIiIiIiIiIWJWSESIiIiIiIiIiIiIiYlVOtg5ARArevuObeeXT0CzL3Fw8CCxblfYN+/NwqxdwdFT3IPZLx4CIiIiIiIiISMHSmRaRYiy0/hM0rd4FI0auXI/kl78W8+mqlzlz8TCjHptv6/BErE7HgIiIiIiIFEYBAQFMnjyZgIAAW4ciImIxSkaIFGMhAQ1p3+hJ0+NuLYcxaEp11v6xgKc7fYC3Z1kbRidifToGRERERESkMPL29qZ79+62DkOKKAcHB9LT020dhshtNGfELU6dOsVnn33GkCFDaNSoES4uLhgMBgYOHJjrOr7//nu6deuGv78/rq6u+Pv7ExoaytSpU7Ntz2Aw5Orn3XffteCeityuhIsH1Ss1x2g0cv7ycVuHI1LgdAyIiIiIiEhhEB0dzZIlS4iOjrZ1KFKA/P39eeihhxg3bhzvvfce7733HuPGjeOhhx7C398/V3UEBASwd+9eOnbsaOVoRcynOyNuMXPmTGbNmpWnssnJyfTr148VK1YAULlyZSpUqMCFCxfYunUrBw4cYMyYMVnKuLm50apVqxzrvH79Ovv37wegZcuWeYpLxBwR/56A9XL3sXEkIrahY0BERERERGwtIiKCCRMmUL9+fXx89N3EnlWsWJHnn3+ep556isDAwDtuGx4ezuLFi/n00085e/bsbesDAgLYtGkTISEhfP/993Tt2pWNGzdaK3QRsykZcQtfX1+6dOlCkyZNaNy4MWvXrmXu3Lm5Kvvss8+yYsUKOnXqxJw5cwgODjati4mJYcuWLbeV8fPzY9u2bTnWOWXKFPbv309gYCDt2rUzf4dE7iAxJZ6rcVEYjRnj5a/a8Slh5/ZQvUJTAstWtXV4IlanY0BERERERERsISAggJkzZ/LII4/g6OiYqzKBgYG8/vrrjBs3jm+//ZaXXnqJ8+fPm+rLTERARuLi6NGjVotfJC+UjLjFm2++meXxzp07c1Vu3bp1fPnllzRr1oxVq1bh5JT1qc3rWH+LFy8GoH///jg42O+oWuGHNrNyYij3PTGVRl1fyXabWU8aCKrflR6vrC7g6OzX4nXjWbxufJZl99XuyQuPfGyjiEQKlo4BERERERERKWgDBw5kxowZeHt7m5alpKSwZcsW/vzzT/bs2UNUVBSQceF0gwYNaNy4Ma1bt8bZ2RlHR0cef/xxHnzwQV566SXWr1+fJRERFhZGaGgo4eHhttg9kRzZfTIiKiqKKVOm8O233xIeHk7ZsmXp2bMnEydOZOTIkXz++ed89NFHjBgxIl/tzJgxA8hIZtyaiMirv/76i4MHDwIwYMAAi9QpcrOuzQbTuu7jpKancDLiAMs3Tybqajguzm6mbQ6c2Mrrn3W+rWxqWjLp6Wn8PCWtIEMWsajcHAPJqUkMm9mQ0AZ96dfuDdPyKcsGEhN7gYnPrrVF6CIiIiIiIlLEODo6Mn/+fJ555hnTssjISObMmcOCBQu4cOFCtuWWL18OZIywMmjQIEaMGIGfnx/e3t4sXLiQq1evUqpUKUCJCCnc7DoZsXfvXjp37kxkZCQeHh7UrFmT8+fPM3v2bI4fP26aBKh+/fr5aichIYH169fj4OBAaGgov//+O1988QVhYWF4enrSvHlznn32WXx9fc2qd9GiRQA0a9aMatWq5StGkewE+IbQsGp7AJpW70zte+9j1Nz7mLVyCG88uQyAOpXvZ9UHsVnKRV09z/DZjenRMn9JPBFby80x4OLkytg+ixk9tzXNazxE8D312P739+w8vIr5Lx+wZfgiIiIiImKnPDw8aNWqFR4eHrYORSzEwcGBRYsW0a9fP9OyRYsW8dJLLxETE5OrOiIjI/nggw/4+OOPmTlzpuniZSUipKiw23F/oqKi6NatG5GRkYwePZqIiAh2795NZGQkkydPZs2aNezatQuDwUDdunXz1da+fftITU2lTJkyzJkzhxYtWjBv3jw2bNjA//73P1577TVCQkLYtGlTrutMSUlh6dKlQMatWyIFoVZQS9o37M/mfcs5eOq3bLdJTk3i3cU9qR10H33bvV7AEYpYV07HQNXARjz2wCtMWfYUl2LCmbliMC888jG+pe6xYbQiIiIiImKvgoKCWLBgAUFBQbYORSzkgw8+MCUikpOT6d27NwMHDsx1IuJmMTExvPHGG0RERGRZ/vPPPysRIYWa3SYjRo4cSXh4OCNGjGDatGmULFnStG7s2LHUq1eP1NRUgoKC8PLyyldbmQf+lStXePXVV+nSpQsHDx4kKSmJ/fv307ZtW2JiYujZs2euO4Q1a9YQFRWFq6srvXv3zld8RUlqcjwJ16Oy/ZGC0a/9Wzg4OLLo57ezXT9r5RCSUxIZ03thwQYmUkByOgb6tX8TRwcnhs5sQL0qoYTW72OjCEVERERExN6lpaURGxtLWpqGRrYHLVq0YOzYsQCkpqby6KOP8n//9395ri9zsmp/f38AjEYjAEOHDqV58+b5D1jESuwyGXH48GGWL1+Or68vH374YbbbNGrUCIB69erlu724uDggozMJDg7mu+++o2bNmri4uFCnTh1WrVqFn58fMTExzJw5M1d1Zk5c3b17d0qXLn3b+sxES9OmTXF1dcVgMOR7PwqDnSvHM39o2Wx/pGAE+FYhtF4f9oRt4MCJrVnWfbdtNr8fXs27A7/HzcXdRhGKWFdOx4CTozM1g1pyNS6Kjo2ftmGEIiIiIiJi744cOUKTJk04cuSIrUORfHJzc+OLL77AwSHjNOzrr7/O6tWr81xfZiLi5smqJ02aBGQMBbVw4ULc3NzuVIWIzdjlnBFLly4lPT2dfv364enpme02JUqUACyTjLj5AB8xYgTOzs5Z1ru7uzN06FDGjx/PTz/9xLRp0+5Y3+XLl1mzZg2Q8xBNYWFhrFy5kiZNmuDi4sL27dvztxNA48aNiYyMNKuMo3MJHplwLN9tZ6odOpiQZo9nu+67SQ9apI2qISGkpSRYpK5MLk4lmD/Ccs+DrT3R7g027V3KonVvM21IxvBie8M2sWDNOCY+uxY/nyDbBpgHIVVDSE617OtuTV1e34V7KX8iIiMIDGxi63AKVGE4nrI7Bg6c2Mq6PxfSo9UI5v7wIp8G78XVuYTVYylq711LKc7HAGj/RUTUD4qIPTJnGO7MUTh+/PFH9uzZk+tyCxcuNDOqwueRp1/Cw9Pr3/8Bgbc9LmzS09PvuH7AgAGmuWB37tzJf/7znzy3lV0iIjQ0lIiICNq2bWuad/app55i/vz5OdYTEhJiSo6ImMvPz48///wzT2XtMhmxceNGAEJDQ3PcJnO4JEskI26+c6FGjRrZbpO5/OTJk3etb+nSpSQnJ+Pn50fHjh2z3aZ169amf0zvvPOORZIRkZGRnDt3zqwyTq6WvTre2y+EirXbW7TOW52POE9qUrxF63RzLlp3CdQLbsMvU405rq9UvgY/T7lxK2hk9CkmfNWL5x6aSr3gNgUQoeVFnD9PYoplX3dryrwVNy0tzezjsqgriOPJ3GMgISmWqcsHMqjzJLq1GMroTx/g87WvM7T7DKvHWtTeu5ZSnI8B0P6LiKgfFBF7FB+f+8/1iYmJpt/mlLOHPjP93/8B6f/+D7j1cVEzbNgw09/Dhw+/a/IiJzklIjLPcQ4bNoy//vrL9PedkhG3zjUhUlDsMhlx+vRpACpVqpTt+tTUVNPJe0skI6pXr27628XFJdttMu+eyM1Yf4sWLQKgX79+ODo6ZruNNbKXfn5+ZpdxLICrgi3tHv97rHJnhL1KTI5n/MKHaVGzOw+3GmHrcPLM/557itTV5ZnHvqOjIwEBATaOpmAVxuNp3qrR+PncS/eWwzAYDIzptZAhM+vTqvYj1K3c2qptF7X3rqUU52MAtP8iIuoHRcQeubvn/sKrzPNIbm5uZpWzhz7T4d//AQ7//g+49XFhk56enuPJ/ZYtW1K3bl0AfvvtN3bv3p2nNu6WiADYvXs3O3bsoEWLFtSrV4+WLVvy22+/ZVufv7+/7oyQPMvLOeRMdpmMyJzDISEh+5M3y5cvJyoqipIlS3Lvvffmu72AgAAqVqzImTNnOHHiRLZ3ZBw/fhzgrreTHTp0yHSbizm371lCXm6vSUqFccutEIwVHT12DFcLv/PTkmHTbMvWWVhsPbCSExH7OBd1lM37bn+xP3vlEOVKV7RBZOY5dvQYjtnnCgul8d/C1QTw9/PP9cT39qKwHU9/HFnL5n3Lmf/yftP8PPf4BjOo8ySmLX+aeaP3U8LFw2rtF7X3rqUU52MAtP8iIuoHRcQemTP/w8GDB/n888/p0qULtWrVynW5CRMm5CW0QmXix0u4Fhtn+h9w6+PCJi4uLsdh4m8e8eROdyrcSW4SETe30aJFCwA6dOiQYzLi2LFjeHhY73usSE7sMhnh5+fHlStX2L17t+kAzBQREcGYMWMAqFu3rsUmfu7VqxfTpk1j0aJFDBo0KMs6o9FoGrOvbdu2d6wnc+Lqhg0bUrt2bYvEJpIfDzbqz4ON+ts6DBGbaVq9M9+/H3Pb8h6thtOj1fCCD0hEREREROxe1apV2b59OyVLlrR1KJIPjRo1Mv3966+/ml3enETErW3c3LZIYWGX9+O0b58x58DkyZM5evSoafmuXbsIDQ0lKioKgPr161uszTFjxuDl5cXWrVt5//33TcMxpaamMm7cOPbt24erqyujRo3KsY709HS++uorIGNyGxERERERERERKX6cnZ3x8fHB2dnZ1qFIPmQmBKKjozl16pRZZc1NREDGXLXR0dFZ2hYpTOwyGTF27FjKlCnD2bNnqVWrFnXq1CEkJISmTZtSuXJl090J2c0XsX37dnx9fU0/06dPB2DZsmVZlt86YXS5cuVYtmwZrq6uvP322/j7+9OsWTP8/PyYOnUqTk5OLFiwIMcJrgHWr1/PuXPncHZ2pm/fvhZ8RkREREREREREpKg4c+YMw4YN48yZM7YORfLIwcHBNLb+zRdL50ZeEhGZMtvy9/c3M2IR67PLYZoCAwPZunUrY8aM4ddff+XUqVPUrFmTefPm8dxzzxEcHAxkn4xISUnh8uXLty1PSkoiKSkpy3a36ty5M3v27GHixIls2LCBPXv24OPjQ69evRg3bhwNGza8Y9yZE1d37doVX19fs/a5qAus2YYXvzLecZu7rRcRERERERERsQfXr19n06ZNDB+uoWGLKoPBwOuvv06JEiU4d+6cWWUXLFiQp0QEZJxf/OWXX0hISMDBwYH09HSzYxexFrtMRgDUqFGD1atX37Y8NjaWU6dO4eDgkO2cDG3atMFozPtJ7xo1avDll1/mqeySJUtYsmRJntsWERERERERERER20tLS+PDDz/MU9nnnnuOzZs3YzQazUpEAHz66ad5alOkINhtMiInBw8exGg0UrVqVdzd3W0dTr6sWLECgEOHDmV5HBQUROPGjW0Wl5gv/NIxpi4fwNW4KDzcSjGm90KC/GrluP1Pu77gP//3DO8M+I5WtR82LX9yYhDOTq64OJUA4Im2r9Gmfm+MRiMGg4HF696hQ+OBlC9dyWKTt9uSuc+b2LfklEQ+WNKH0xcO4epcAm/Pcozs+QkBvlVyPAYeHGPgu/eu4FnC26y2Fq97hz6hr+Li7JbnePX+FRERERERkeyEh4fTpk0b098i9qLYJSMOHDgAZD9EU1Hz+OOPZ/t4wIABLFy40AYRSV7NWvk8XZoNpmOTgWzZv4Kpywfy8Yu7st02MvoUa3//LzUqNs92/Rv9llMloH6WZVsPrOSfs7tISU3in7N/sPCnNxnWYxZeHmUsvSsFypznTYqHLs0G07R6ZwwGA99vn8P0b57lP0M353gM5NWXv7xLz/tfylcyQu9fERERERERyYmSEGKPlIwowvIznJQUHldiL3I0/E8mPbcOgPvrPMqc70ZwLiqMAN8qWbZNT09n+jfPMvzhj5i3anSu22hd9zHKl67E2HntOBGxj4mD1uLi7MZvf/+PBWtfxdnRhcbVOvHTH5/x8Yt/4ucTxIdf9+PspX9ITU2mrHcFRj/+GT5eGRMvPTjGwMBOE9h58AeuxF5gaPeZnLl4mK0HVhKXeJWXH/sv9YLbmL3tndrMz/MmxYOLsxvNanQxPa5RsTkrfp0G5HwMAHzz6zR+P7yGxOQ4+j84nnYN+5nq+OfsLhasGUdc0jXS09N4ou3r7AnbAMCouffjYHBk0uB1lPYsp/eviIiIiIhYTPny5Rk3bhzly5e3dSgiIhajZISIjV2KOYuPlz+OjhmHo8FgoFzpilyMOXPbScmVW6ZTK6gVVQMb5VjflGVPYcRI9QpNGdRlEt6eZdl64FuOnPmdDk2epnZQK2asGMzgh6Yy7ZtnmDl8OxXLVeenXV9wLf7G5O1Du8/E27MsAMs2TmLxL+/w0qM3xh0s4eLJRyN/Z/exDYxf2IMRD89h7ot/8uu+b5i/ekyWK7xzu+3d2szr8ybF03fbZtGiVg+AbI+Bod1nAGDAwKej9hBx+QTDZzWmVlAr/HyCiE2IYcaKwXww6EfKePlzNS6KoTMbMnvEDtbsnMeMYVuzDO+k96+IiIiIiFiKr68vAwcOtHUYIiIWVeySERs3brR1CFLMjPyoBeeijmW77pNRe3Jdz8nIv9l6YCXTh23JcZvpQ7dQrnRFUtNS+OKnN5myfAATB/3IfbUf4f46PVm87h2qVWhK67qPs+PQKir716ViueoAdGg0gNkrh5jq2rjna9bv/pKUlESSUxPx8vDN0laber0BqBbYmMTkOELr9wGgesWmt+1vbre9W5tSvN3tWCrnXcH0+OsNEzkfFcaU5zPuYsjuGMicN6Vzs2cB8C9TmTqVW3PgxBb8fII4eOo3IqJP8PqCzlnaOnvpn2xj0PtXREREREQs5erVq+zYsYMWLVpQqlQpW4cjImIRxS4ZIVLQZr+w447rnZ1cib4WQVpaKo6OThiNRi5eOUM574pZtvv7xFYuXDnFwMkhAERfj2TmisFEX4ugW8uhAJQrnVHGydGZnve/xNNTqgKYTro+1eGdXMX898ltfL9tNrNe2EFpz3L8dvAHFv38dpZtMoe4cXBwzPrY4EhaeqrZ2+amzZuV9a6Qq+dN7MfdjqVM32yexra/v2XK4PW4ubgDZh4DpsndjQSVr8WsEb/dtYjevyIiIiIiYknh4eGMGjWKFStWKBkhInbDwdYBiBR3pT3LUSWgIet3fwVkTDbt6x1421At3VoOZfnbEXz1+im+ev0UNSo256XH5psSEQnJccQmxJi237RnKVXuaZBjuzUqNedExH7OXsy4ynvD7q9ISUsG4HrCFUq4lsTLvQwpqcms2TnPkrucLXPbzO3zJsXLil+ns2nvUiY/90uWIZTu5OddXwAZk8MfOLmVOvfeD0DNSi2JjD7J7qPrTduGndtLSmoy7q4liUu8alqu96+IiIiIiIiIyJ3pzgiRQuClR+cxdflAlm6ciLubF2N6fWFa959vnqVFze60rNX9jnXEXL/Au4sfJT09DSNG/H0qM7bP4hy3L+1ZjpcfW8D4RQ/j7OhKo6oPUsLVE88S3jSp1okNu7/imSnV8HIvQ4OQ9kRdPWex/c1OXtq80/Mmxc+lmHDmrR6Nv09lXvk0FAAXJ1c+Gvn7Hculp6cxZEYDEpPjGN5jNn4+QQCUdC/NhGfWMH/1K8xbPZrUtBTKeVfk3YHf81jr0Yyb/yCuzu5MGrxO718RERERERERkbswGI1Go62DkKIrKRXGLbd1FOaZ3BtcLZyGS0uGTbMtW2dBiE+8jrtbSQC2//09n619jc/HHLZxVNYROhIcXWwdRe6N/xauJkCpEvBuT1tHU7CK6vFkLUXtvWspxfkYAO2/iIj6QRGxR0eOHMn1tgcPHuSxxx5jxYoV1KpVK9flqlevnpfQCpWJHy/hWmwcXp4evD68322PC5u4uDg8PT1tHYZZYmNj8fDwsHUYUgzpzgiRYuz77R/x677lpKen4e7mxWtPLLF1SCIiIiIiIiLFnpubGzVq1MDNzc3WoYiIWIySESLFWN92r9O33eu2DuOOrsRe5NX5HW5b3qjqgwx+aKoNIhLJPb1/RUREREQkL4KDg/n2229tHYaIiEUpGSEihVppz3LMe3mvrcMQyRO9f0VEREREREREMjjYOgARERERERERERG54dChQ9StW5dDhw7ZOhQREYtRMkJERERERERERKQQMRqNpKSkYDQabR2KiIjFaJgmyRcXR5jc29ZRmMfF0fJ1OjhD6EjL1yuW4+Bs6wgkt3Q8ZaX3roiIiIiISOHl7u5ObGysxeqbOm8Z1+Li8fJwZ8zzfW57bAnu7u4WqUfEXEpGSL4YDOCqdxEGAzi62DoKEfug40lERERERESKCoPBgIeHh8Xqc3F1wyUlDRdXNzw8PG57LFKUaZgmERERERERERERERGxKl3TLiIiIiIiIiIiUogEBwfzww8/UKFCBVuHIiJiMUpGiIiIiIiIiIiIFCJubm6EhITYOgwREYvSME0iIiIiIiIiIiKFyLlz53jzzTc5d+6crUMREbEYJSNEREREREREREQKkZiYGFauXElMTIytQxERsRglI0RERERERERERERExKqUjBAREREREREREREREatSMkJERERERERERERERKxKyQgREREREREREZFCxMHBgSZNmuDgoFN3ImI/1KOJiIiIiIiIiIgUIunp6ezatYv09HRbhyIiYjFKRoiIiIiIiIiIiIiIiFUpGSEiIiIiIiIiIiIiIlalZISIiIiIiIiIiIiIiFiVkhEiIiIiIiIiIiKFSKlSpejWrRulSpWydSgiIhbjZOsARERERERERERE5IbAwECmTJli6zBERCxKd0aIiIiIiIiIiIgUIklJSZw+fZqkpCRbhyIiYjFKRoiIiIiIiIiIiBQiYWFhdOrUibCwMFuHIiJiMUpGiIiIiIiIiIiIiIiIVWnOCMkXoxGS02wdhXlcHMFgsHUUIsWP0QjpKbaOwn45OKtvk8JHx73tFPU+Qe+dG4r6aykiIiL2zWg0Eh8fb+swzOLu7o5BH7BsQskIyZfkNBi33NZRmGdyb3DVO1+kwKWnwKbZto7CfoWOBEcXW0chkpWOe9sp6n2C3js3FPXXUkREROxbfHw8np6etg7DLLGxsXh4eNg6jGJJwzSJiIiIiIiIiIiIiIhV6fpwERERERERERGRQqRWrVocPnzY1mGIiFiU7owQERERERERERERERGrUjJCRERERERERESkEDl58iR9+vTh5MmTtg5FRMRiNEyTiEghkZwK52PgwlVISr1p2RUoXwoclT4WO5eWDhExEHnLMXDmMvh7g7OjLaMTERERESk48fHx7Nu3j/j4eFuHIiJiMUpGiIjYUGwi/HEC/jqVcRI23Zh1fUIKTPkx4yRsBR9oGgwNK4GLem+xE0kpGe//P05AeDSkpmddn5AC038CBwPcUxoaB0HTyuDuaotoRURERERERCSvdDpLRMQGrifC6r3w18nbT75mJyUNTlzK+PnfbrgvBB6sraSEFF1JKfDTAdgRBokpd98+3ZiRrAiPhjX7oMm90LU+eCgpISIiIiIiIlIk6DSWiEgB23MaVuyCuKS8lU9Ihl8Owt4z0LcF3FvWsvEVB/uOb+aVT0OzLHNz8SCwbFXaN+zPw61ewNFR/yKt5dgFWLYTLsfmrXxKGvwWBgfCoVdTqFPBsvFJ8aB+oHjT6y8iIiIiUvD0CVtEpICkp2ckIX4Ls0x9l67D7HXwcCN4oLpl6ixuQus/QdPqXTBi5Mr1SH75azGfrnqZMxcPM+qx+bYOz+4YjbDhUMZdQZZwPRE+2wKtq2UcBw4Gy9QrxYv6geJNr7+IiBRWAQEBTJ48mYCAAFuHIiJiMUpGiIgUgHQjfL0D/jxl2XqNwHd/QWoatKtl2bqLg5CAhrRv9KTpcbeWwxg0pTpr/1jA050+wNtTt51Y0k8H4OcDlq93yz8Zd0v0agoGJSTETOoHije9/iIiUlh5e3vTvXt3W4chImJRDrYOoLA5deoUn332GUOGDKFRo0a4uLhgMBgYOHBgruv4/vvv6datG/7+/ri6uuLv709oaChTp07Ntj2DwZCrn3fffdeCeyoiBWn1HssnIm62ai/sOmG9+ouLEi4eVK/UHKPRyPnLx20djl3Zfsw6iYhMO8Iykh0i+aV+oHjT6y8iIoVFdHQ0S5YsITo62tahiBQ4Dw8PKlasSHBwMIGBgTg7O5tVvnXr1nTs2NFK0Ul+6M6IW8ycOZNZs2blqWxycjL9+vVjxYoVAFSuXJkKFSpw4cIFtm7dyoEDBxgzZkyWMm5ubrRq1SrHOq9fv87+/fsBaNmyZZ7iEhHbOn4BNh42r8zLncCrBFxLgOk/5a7Myj+hSnko7WF+jHJDxL8nn7zcfWwcif2Iug7/+8u8Mnk5Btb9DTXvgUq+5scocjP1A8WbXn8RESkMIiIimDBhAvXr18fHR/+TxL55eHjQp08fQkNDadSoEVWrVsXB4cY19ElJSRw4cIC//vqL1atX8+OPP5Kenp5tXa1bt+bHH3/E0dGRhx9+mJ9//rmgdkNyQcmIW/j6+tKlSxeaNGlC48aNWbt2LXPnzs1V2WeffZYVK1bQqVMn5syZQ3BwsGldTEwMW7Zsua2Mn58f27Zty7HOKVOmsH//fgIDA2nXrp35OyQiNpWUCl/vNL+cVwnwdjevTGIKLP8dng/VUDW5lZgSz9W4KIzGjLHCV+34lLBze6heoSmBZavaOjy7kG6EpTshOc28cnk5Boz/tjW6Mzg7mldWii/1A8WbXn8RERER26lYsSKjR49mwIABlCpVKsftXF1dady4MY0bN+b555/n1KlTzJs3j48++oi4uDjTdpmJCA+PjKs0n3vuOSUjChklI27x5ptvZnm8c2fuziKuW7eOL7/8kmbNmrFq1SqcnLI+tXkd62/x4sUA9O/fP0tG0N6EH9rMyomh3PfEVBp1fSXbbWY9aSCofld6vLK6gKMTybvtR+FybMG1dyQCjkZCNf+Ca7MoW7xuPIvXjc+y7L7aPXnhkY9tFJH9+Tscjl8suPYir8Lvx+E+nUOUXFI/ULzp9RcREREpeAaDgeeff56pU6fi6emZZV1SUhL79u3j5MmTpKSkUKJECWrUqEH16tVN50aDgoL48MMPGTx4MM888wybN2++LRGxZs0a+vbtW+D7Jndm98mIqKgopkyZwrfffkt4eDhly5alZ8+eTJw4kZEjR/L555/z0UcfMWLEiHy1M2PGDCAjmXFrIiKv/vrrLw4ePAjAgAEDLFKniBScdGPGOPkFbdtRJSNyq2uzwbSu+zip6SmcjDjA8s2Tiboajouzm2mbAye28vpnnW8rm5qWTHp6Gj9PMfOS/2Jm+1HbtNkqRHcISe6oHyjecvP6J6cmMWxmQ0Ib9KVfuzdMy6csG0hM7AUmPrvWFqGLiIiIFEmlS5fm//7v/2jfvr1pWXx8PEuWLOHzzz/nr7/+IiUl5bZynp6etGnThiFDhtC5c2ccHBy499572bRpE//3f/9H165dsyQievbsSXJycoHtl+SOXScj9u7dS+fOnYmMjMTDw4OaNWty/vx5Zs+ezfHjx02TANWvXz9f7SQkJLB+/XocHBwIDQ3l999/54svviAsLAxPT0+aN2/Os88+i6+veYNYL1q0CIBmzZpRrVq1fMUoIgXvn4iCvSsi09/n4Eqc5o7IjQDfEBpWzfgA1LR6Z2rfex+j5t7HrJVDeOPJZQDUqXw/qz7I+kJGXT3P8NmN6dEyf4lse3fxGvwTWfDtRlyFExchuHzBty1Fj/qB4i03r7+Lkytj+yxm9NzWNK/xEMH31GP739+z8/Aq5r98wJbhi4iIHfPw8KBVq1amk6si9sDX15cNGzZQt25d07JPP/2U1157jZiYmDuWjY2NZfXq1axevZqQkBD++9//8sADDwDQq1cv03ZKRBRudjvuT1RUFN26dSMyMpLRo0cTERHB7t27iYyMZPLkyaxZs4Zdu3ZhMBiyHAB5sW/fPlJTUylTpgxz5syhRYsWzJs3jw0bNvC///2P1157jZCQEDZt2pTrOlNSUli6dCkAAwcOzFd8ImIbB8/Zpl2jMWO4JjFfraCWtG/Yn837lnPw1G/ZbpOcmsS7i3tSO+g++rZ7vYAjLFoOnbdd2wdt2LYUbeoHirecXv+qgY147IFXmLLsKS7FhDNzxWBeeORjfEvdY8NoRUTEngUFBbFgwQKCgoJsHYqIRXh4ePDTTz+ZzsNeuHCBBx98kKFDh941EXGrY8eOERoayuzZszEajablZ86cUSKikLPbZMTIkSMJDw9nxIgRTJs2jZIlS5rWjR07lnr16pGamkpQUBBeXl75aisiIuOs35UrV3j11Vfp0qULBw8eJCkpif3799O2bVtiYmLo2bMn4eHhuapzzZo1REVF4erqSu/evfMVX1GSmhxPwvWobH9Eipqz0TZs+7Lt2i7q+rV/CwcHRxb9/Ha262etHEJySiJjei8s2MCKoHAbvg/DbXj8SdGnfqB4y+n179f+TRwdnBg6swH1qoQSWr+PjSIUEZHiIC0tjdjYWNLSNByk2IfJkyfTqFEjAMLDw7nvvvtYv359nuu7//77GTRoEIabxuetWLEiPXr0yHesYj12mYw4fPgwy5cvx9fXlw8//DDbbTLf/PXq1ct3e5mztqemphIcHMx3331HzZo1cXFxoU6dOqxatQo/Pz9iYmKYOXNmrurMnLi6e/fulC5d+rb1K1as4NFHH6VSpUq4u7tTvXp13njjDWJjbTAmjAXtXDme+UPLZvsjUpSkpcP5K7Zr35aJkKIuwLcKofX6sCdsAwdObM2y7rtts/n98GreHfg9bi7uNoqw6Ai38TFw0wUyImZRP1C85fT6Ozk6UzOoJVfjoujY+GkbRigiIsXBkSNHaNKkCUeOHLF1KCL51qZNG4YPHw5kzA/RsWNHwsLC8lzfrZNV792717Tu448/pmxZnUcsrOwyGbF06VLS09Pp16/fbTOyZypRogRgmWSEm9uNCe5GjBiBs7NzlvXu7u4MHToUgJ9++umu9V2+fJk1a9YAOQ/RNG3aNBwdHZk4cSJr165l6NChfPLJJ3Tq1In09PQ87ont1Q4dzCOv/pLtj0hREpcEKTa8gOVKvO3atgdPtHsDB4MDi9bduCp2b9gmFqwZx1v9v8HPJ8h2wRUhV+Js13ZCMiSl2q59KfrUDxRv2b3+B05sZd2fC+nRagRzf3iRpJQEG0YoIiIiUjQYDAY+/fRT0+Nx48Zx6NChPNd3ayJizZo1NGvWjBUrVgBQtmxZJk6cmL+gxWrscgLrjRs3AhAaGprjNpnDJVkiGXHznQs1atTIdpvM5SdPnrxrfUuXLiU5ORk/Pz86duyY7TarVq3KkuV74IEHKFu2LP369WPbtm20bt3anF0AoHHjxkRGmjfTqKNzCR6ZcMzstnLi7RdCxdrtLVZfdqqGhJCmL49iZe7eAXR57fcc17/cCbxK5Fzey+3G73ceyXm7awkwPZscZ/SVqwQG1spltAXDxakE80dYrr/Ij3rBbfhlas6XzVcqX4Ofp9zIJkVGn2LCV7147qGp1AtuUwARmi+kagjJqYWrb+v5wQkcnFyyXWftYwCgZu26JMcVzduEury+C/dS/kRERhAY2MTW4eRZYTrub2WP/cDNCmOfYA5rv3fMff0TkmKZunwggzpPoluLoYz+9AE+X/s6Q7vPsFqMmYr6a5lX9tIPiojczJw5QTOHBP/xxx/Zs2dPrsstXLjQzKgKn0eefgkPT69//wcE3vbY3hW1/b/bRdEdOnSgWrVqAGzfvp2PP/44z21ll4jInCNi2LBhtG/fHm9vb/r168e4ceOIjs7++2BISAgODnZ5jX6B8PPz488//8xTWbtMRpw+fRqASpUqZbs+NTWV7du3A5ZJRlSvXt30t4tL9iddMu+eyM1Yf4sWLQKgX79+ODo6ZrtNdrcbNW7cGIBz5/I2a25kZKTZZZ1ci97wBOcjzpOapMvGxbrc4+58rHuVAO9cHD4ODrnb7lapyUl57gusxc256PUXAInJ8Yxf+DAtanbn4VYjbB1OjiLOnycxpXD1bWmpKTkmI6x9DACcO3ua5IRreStsY5mfF9LS0grdsWyOonrc36qo9AM3K4x9gjkK23tn3qrR+PncS/eWwzAYDIzptZAhM+vTqvYj1K1s/kVA5ijqr2Ve2Us/KCJys/j43PfniYmJpt/mlLOHPjP93/8B6f/+D7j1sb2zt/3PHJ4JYMqUKVkmnDbHnRIRAJcuXeLzzz/n5ZdfpkSJEjz99NP85z//ybauzGSfFDy7TEZkzuGQkJD9FUTLly8nKiqKkiVLcu+99+a7vYCAACpWrMiZM2c4ceJEtndkHD9+HOCuGcxDhw6ZMkvmZMwBNm3aBOR8d8bd+Pn5mV3G0fkOl7UWUvf436M7I8TqHJzcSE9LxcEx+2722l3egl5uGSdh09PhWmLO2+VUT2piDAEBAbmMtmC4OBW9/gJg64GVnIjYx7moo2zet/y29Z+9cohypSvaILKs/O+5p9BdOZscH42zm0e266x9DKSlJFK2TCkwlsxltIVL5sUIjo6Ohe5YNkdRPe5vVVT6gZsVxj7BHIXpvfPHkbVs3rec+S/vN02QeI9vMIM6T2La8qeZN3o/JVyy7+ssoai/lnllL/2giMjN3N1zn2zPvKjVzc3NrHL20Gc6/Ps/wOHf/wG3PrZ3RW3/09PTczy57+XlRdeuXQE4c+aMaVh6c90tEZHp008/5eWXXwagb9++OSYj/P39dWdEPuTlHHImu0xG+Pn5ceXKFXbv3k2LFi2yrIuIiGDMmDEA1K1bN8uM6/nRq1cvpk2bxqJFixg0aFCWdUaj0XSbXNu2be9YT+bE1Q0bNqR27dq5bv/cuXO89dZbdOrUifr165sVe6a83F6TlArjbv9OXqgdPXYMV7t850thM3kNRMRkvy6nYWUyvfNIxtXg1xLhne/Mb7tts6p8/u9wdIVFWjJsmm3rKMz3YKP+PNiov63DuKtjR4/hmP1NCDbz+RbYfzb7ddY+Bir7uxF+9oz5BQuJ8d/C1QTw9/M3DS1ZFBXV4/5WRaUfuFlh7BPMUZjeO02rd+b792NuW96j1XB6tBp+ewELK+qvZV7ZSz8oInIzcyajTklJYdCgQZQsWfK2uUnvZMKECXkJrVCZ+PESrsXGmf4H3PrY3hW1/Y+Li8txzt4GDRqYTvqvXr06VyPG3Cq3iQiAY8eOcfDgQWrVqkWdOnVwdXUlKSkp2+0y65OCZZcpoPbtM+YcmDx5MkePHjUt37VrF6GhoURFRQHk+aR9dsaMGYOXlxdbt27l/fffNx1cqampjBs3jn379uHq6sqoUaNyrCM9PZ2vvvoKgAEDBuS67djYWHr06IGLiwuff/55/nZERCymgo/t2g4sY7u2RTIF2vAYsOXxJyIiIiKSX87Ozvj4+JiViBApbBo1amT6Oy8XQZuTiLi1HWdnZ+rUqWN2m2JddpmMGDt2LGXKlOHs2bOmTFhISAhNmzalcuXKprsTspsvYvv27fj6+pp+pk+fDsCyZcuyLM+ccyJTuXLlWLZsGa6urrz99tv4+/vTrFkz/Pz8mDp1Kk5OTixYsOCOQyitX7+ec+fO4ezsTN++fXO1rwkJCXTr1o2TJ0+ybt06/P39c/s0iYiVVSlvu7ZDbNi2SCZbvg91DIiIiIhIUXbmzBmGDRvGmTNF925fkZvn2d23b59ZZfOSiADYu3ev6e+8DmUv1mOXyYjAwEC2bt1K165dcXNz49SpU/j4+DBv3jzWrFljulsiu2RESkoKly9fNv1kzjuRlJSUZXlKSsptZTt37syePXt48skncXJyYs+ePTg5OdGrVy9+//13nnzyyTvGnTlxddeuXfH19b3rfqakpPDYY4/x559/snbtWmrWrHnXMoVVYM02vPiVkUZdX8lxmxe/MtLjldUFGJVI/tSvCO42GFahki8ElC74dkVuFeQL/t4F366XG9S+8xRNIiIiIiKF2vXr19m0aRPXr1+3dSgieXb16lVOnz7NhQsXiI6OznW5Vq1a5SkRAXDhwgUiIiI4efJktkM0iW3Z7cj5NWrUYPXq209cx8bGcurUKRwcHLKdk6FNmzZ5ntU9s90vv/wyT2WXLFnCkiVLcrVteno6/fr1Y8OGDfz44480bdo0T22KiPW4OEGzYNh0uGDbvb9qwbYnkhODAe6rCt/8UbDttggBR7u83EJERERERKToGDNmjGnuXnOcPn2ayMhIgoODzUpEACxdupSlS5ea3aYUjGL3Vf3gwYMYjUZCQkJwd3e3dTh5Nnz4cL755htGjRqFu7s7O3fuNP1cunTJ1uGJyL8eqA5uBTjEZ3mvjDsyRAqLJvdCmeznMrMKD9eMBIiIFD/JKYmMX/gwAydX5fnp9Rg3/0HORYUBmC42WrzuHSKjT5kePzjGQGxCjNltLV73DskpifmKN/zSMV6c05KBk6syfFYTTkUezFd9IiIiIvYiPDycNm3a8Mknn5iViJDCr9glIw4cOABkP0RTUbJ27VoAJk2aRIsWLbL8rFmzxsbRiUgmb3d4uNHdt7MEgwH6tgAnx4Jpz5Jyc0Jm3/HNdH2tBM9Pr2/6SUrJGEov86TSlGUDszy2B0vWT+CpD4N56sNgPl/7hq3DMZuLE/RpXnDtPdoYSroVXHuSd7k9Ebv2j88YMDmEpz4MZvo3z5GaljFUpvqEotknWFuXZoP5Yuw/zHt5Hy1q9WD6N88CsPXASv67ZhyxCTH8c/YPJi/tz7W4y3lu58tf3iU5NX/JiFkrn6dLs8EsHHeU3qHjmLp8YL7qExEREbEn4eHhDBs2TIkIO2O3wzTlxF6SEadOnbJ1CCKSS80qw/4zcOh87stcS8j6Ozfa1siYL6Ioyjwh07HJQLbsX8HU5QP5+MVdt20XWLYa817ee9vyOd+/QK2gVqSnp/L99jlcj7tM/w7jCyBy69p/Ygub9i5l3uj9ODo48dLHragV1JJmNbraOjSzhJSH1tVgyz+5L5OXY6BeRWhQybzYxHZyc9xHRJ9k4c9v8cmLuyldsjxvL+zBmp3z6dFqOKA+oaj2Cdbi4uxGsxpdTI9rVGzOil+nAdC67mOUL12JsfPacSJiHxMHrcXFOSNz+c2v0/j98BoSk+Po/+B42jXsZ6rjn7O7WLBmHHFJ10hPT+OJtq+zJ2wDAKPm3o+DwZFJg9dR2rMcH37dj7OX/iE1NZmy3hUY/fhn+Hj5ZRvrldiLHA3/k0nPrQPg/jqPMue7EZyLCiPAt4pVnh8RESlaypcvz7hx4yhfvrytQxERsRglI0RErMxggKfug4/Xw9lcztc0/Sfz2qhfEboW0W7NEidkXnhkDgt+fJUNe5ZQ6977TCcdz1w8wrTlTxOfdI3AstVISIqlbYO+dGwykI17vua7rbNISUvGaExnYKcJtKjZDYDRn7QhJLARR8/uIvLKKTo0GkCNSi1YunEiUVfDebjVSB574GUAnpwYRLuGT7I3bCOXYs7yRLs3cHZy5ced84m+HsGgLpMIrd8HwKwTVQCb9y6nfcP+lHDJmLSrU5Nn2LRnaZE88dijIVyOhYPncre9ucfAvb4ZdwYZDObHJgUvt8f91v0raFGzu+k4eaj5EJZunGhKRuREfYIAfLdtFi1q9QBg64FvOXLmdzo0eZraQa2YsWIwQ7vPAMCAgU9H7SHi8gmGz2pMraBW+PkEEZsQw4wVg/lg0I+U8fLnalwUQ2c2ZPaIHazZOY8Zw7biWcLb1N7Q7jPx9iwLwLKNk1j8yzu89Oin2cZ2KeYsPl7+ODpmfB0zGAyUK12RizFnlIwQEREAfH19GThwoK3DEBGxqGKXjNi4caOtQxCRYsjNGYa0hfmb4XSUZetuFJRxEtahiA68Z84JmYjo4wyd2RAHgyMdmzxN95bDAPj4fy9So2Iz2jXoR1paCkvWT6Bf+zeZvLQ/3VoOo1OTpzl94TBDZzagbYO+ADSu2pHQ+k9gMBiIjD7FyI+a0+iN07g4uQJw8cpppg7ZRHziNZ78MIjrCVeYMWwrl6+d5+kp1ejU9BnTSajE5DhmjfiNc1FhDP5PHfq2e4PZL+zgn7O7eOOzLqYTj+acqMp4bs5Q+977TI/Llw5i895lFnjWC56jAzx9PyzeDvvPWrbu4HLwXBtwLXafaoqu3B73F2POUL70jdtd/HyCuBhzxvRYfULR7RPyYuRHLTgXdSzbdZ+M2kM57wqmx19vmMj5qDCmPJ9xF8N9tR/h/jo9WbzuHapVaErruo9j+Dd72blZxlBO/mUqU6dyaw6c2IKfTxAHT/1GRPQJXl/QOUtbZy9lf5vXxj1fs373l6SkJJKcmoiXRxG9XVFERAqFq1evsmPHDlq0aEGpUqVsHY6IiEXoa7uISAHxcIXh7eDHffDrEcjvCObOjvBQfbi/GjgUg6vBqwQ0ZOkb4XiUKMWlmHDe+KwLpTx8eaBeL4Z1n4nBYODPf9bx8H0vYDQaiUu8xvHze3mw0VMAVCpfg9pBN07iRUSf5MOv+xF1NRwHByeuJ0QTGX2SiuWqA3B/3cdwdHCkpHtp/H0q07zGQxgMBnxLBeDtUZbI6FNUCagPwAP1egMQ4FsFF2c37q/7GABVAxtzPT6a2IQYPEt4F/sTVU6OMPA+2Hwk4zhITc9ffQZDxvBknesWzblSJH/UJxQ/s1/Ykavtvtk8jW1/f8uUwetxc3EHMCUenurwzt0rMN1iZSSofC1mjfjtrkX+PrmN77fNZtYLOyjtWY7fDv7Aop/fznH7st4ViL4WQVpaKo6OThiNRi5eOUM574p3j09ERIqF8PBwRo0axYoVK5SMEBG7UUSvoxURKZpcnDImtH7hQfDLx+fJkPIwtis8UL3oJyJuPiED5HhCxsPNC48Spf4tE0hogyc4cHIrcOMk09g+C7M8vtXNyycu6UPnZs/y31f+Zt7Leynh4klyyo3JSF2cbsyC7ODgaBpbPPNxWnpq9tsaHE2PDQYDGAykpaeaTlR9MOhH/vvK3zzfbXqW9rJ/bipy8cpp0+MLV04V+RNVDg7Qtia80gUql817PfeUhpc6QLcGSkQURbk97st5V+TCTcdAZPSNY0B9gn30CZa24tfpbNq7lMnP/ZJlCKU7+XnXF0DG++vAya3Uufd+AGpWaklk9El2H11v2jbs3F5SUpNxdy1JXOJV0/LrCVco4VoSL/cypKQms2bnvDu2WdqzHFUCGrJ+91dAxgTbvt6BGqJJREREROyakhEiIjZQuRyM6wrD2kHdCrlLKLg4Qosq8EpnGN4eypa0fpwFIbcnZC5fiyA9PeNS+vjE6+w8tJoq9zTIsV4PNy8q31OPDf/We/biP/x9cptp/fWEK/j53AvA+r++4nrCFYvu163MPVEF8EC9x1m/+0sSkuNITk3ip12f0+bf4V2KOr9SMLIDvNwJmlbOuNPnbhwMGfOjvNAexnQuuhO2S+6P+/vrPMqOQz8QfS0So9HI6p2fmo4B9Qn21SdYwqWYcOatHk1sQgyvfBrK89Pr88LsZnctl56expAZDXj1vx0Y3mM2fj5BAJR0L82EZ9awdONEnp9ej0FTa/LZj69iNKbzWOvRjJv/IM9Pr8+V2Is0qdaJCuWq8cyUarw8936C76l/13ZfenQea3bOY+DkqizbNIkxvb7I5zMgIiIiIlK4aZgmEREbMRigql/GT1IKnLuSMcH1hauQnJqx3tUZ7vGGCmXAv5T9XgH+0qPzmLp8IEs3TsTdzct0QuY/3zxLi5rdaVmrO1sPrGT1jk9wdHAiLT2V1nUfp2OTp+9Y77g+i5n2f8/wzeap3ONbhWoVmpiulB3WfRbvL34MjxLe1K/S1upXFzep1okNu7/imSnV8HIvQ4OQ9kRdvfNszvWC2/BAvd4M/k8dANrU603zmg9ZNc6CVrFMxpwnjzeFiBg4eznjd1JqxlBmLk4ZiYsKPhl3Q2heCPuRm+Pev0xlBnR4l5c+bgVkHBMPNX8eQH0C9tkn5EdZ70B+mWreIIiZ2w/s9H6260MCGzJ1yO1zzvXvMN40MXqmN59cnuXxM50/uGPbFcpVy/XQUyIiIiIi9sBgNBrzO2y5FGNJqTBu+d23K0wm99bJLBFbSEuGTbMLts2EpFjcXDwwGAxERJ/kxY9aMOfFXVkmObUXoSPB0cXWUYiljP8WriZAqRLwbk9bR5N3tjju70R9QtFR2N47tlTUX8u8spd+UETkZkeOHMn1tsePH2fMmDFMnTqV4ODgXJerXr16XkIrVCZ+vIRrsXF4eXrw+vB+tz22d0Vt/+Pi4vD09LR1GGaJjY3Fw8PD1mEUSzolKyIiduvgqd/475oxwL/DcHSfYZcnHUUkd9QnSEG7EnuRV+d3uG15o6oPMvihqTaISEREiorg4GC+/fZbW4chImJRSkaIiIjdalytA42r3X4SqDAJO7eXqcsH3ra8Q+MBPNp6VMEHJGLH1CdIQSvtWY55L++1dRgiIiIiIoWCkhEiIiI2VCWgvk5UiYiJ+gQREREBOHToEH369GHZsmXUrFnT1uGIiFiEg60DEBERERERERERkRuMRiMpKSloqlcRsSdKRoiIiIiIiIiIiIiIiFVpmCbJFxdHmNzb1lGYx8XR1hGIFE8OzhA60tZR2C8HZ1tHIHI7Hfe2U9T7BL13bijqr6WIiIjYN3d3d2JjYy1W39R5y7gWF4+Xhztjnu9z22NLcHd3t0g9Yj4lIyRfDAZw1btIRHLBYABHF1tHISIFSce95JXeOyIiIiJFg8FgwMPDw2L1ubi64ZKShourGx4eHrc9lqJNp5FFREREREREREQKkeDgYH744QcqVKhg61BERCxGyQgREREREREREZFCxM3NjZCQEFuHISJiUZrAWkREREREREREpBA5d+4cb775JufOnbN1KCIiFqNkhIiIiIiIiIiISCESExPDypUriYmJsXUoIiIWo2SEiIiIiIiIiIiIiIhYlZIRIiIiIiIiIiIiIiJiVUpGiIiIiIiIiIiIiIiIVSkZISIiIiIiIiIiUoj4+vry3HPP4evra+tQREQsRskIERERERERERGRQsRgMODi4oLBYLB1KCIiFqNkhIiIiIiIiIiISCFy6dIlPv74Yy5dumTrUERELEbJCBERERERERERERERsSolI0RERERERERERERExKqUjBAREREREREREREREatSMkJERERERERERKQQKVWqFN26daNUqVK2DkVExGKcbB2AiIiIiIiIiIiI3BAYGMiUKVNsHYaIiEXpzggREREREREREZFCJCkpidOnT5OUlGTrUERELEbJCBERERERERERkUIkLCyMTp06ERYWZutQREQsRsM0Sb4YjZCcZusozOPiCAaDraMQEREpfoxGSE+xdRT2ycFZn29ECiP1e7ZT1PtFvXduKOqvpYjYP6PRSHx8vK3DMIu7uzsGG3SuSkZIviSnwbjlto7CPJN7g6ve+SIiIgUuPQU2zbZ1FPYpdCQ4utg6ChG5lfo92ynq/aLeOzcU9ddSROxffHw8np6etg7DLLGxsXh4eBR4uxqmSURERERERERERERErErJCBERERERERERERERsSoNViMiIiIiIiIiIlKI1KpVi8OHD9s6DBERi9KdESIiIiIiIiIiIiIiYlVKRoiIiIgUMkZj1t8iIsWJ0ah+UETk5MmT9OnTh5MnT9o6FBERi9EwTSIiIiI2lG6EY5FwNBLORkN4NMQnZ6y7lghvr4RAH6hQBmrcA5XKgMFg25hFRCwpLR0On4ewCxn94LkrkJiSse5aIrzzHVTwyfipHQj3lLZtvCIiBSE+Pp59+/YRHx9v61BERCxGyQgRERERG0hMgR1hsP0oRMXmvN21RDh0PuPn5wMQWBpaVYUm94KTY8HFKyJiabGJsP1YRl8Yc4dzbTHxGT8HwuHH/VC5bEY/2KAiOOhefxEREZEiQ8kIERERkQJ2+Dws//3OJ99yEn4lo+yWI9C3RcYdE2K+fcc388qnoVmWubl4EFi2Ku0b9ufhVi/g6KiPyiLWYDTCntOw8k+ISzK//IlLGT9b/4EnWkB5L8vHWByoHyze9PqLiIgt6D+LiIiISAFJTcs4+bYjLP91RVyFGT9DhzrQsbaGbsqr0PpP0LR6F4wYuXI9kl/+Wsynq17mzMXDjHpsvq3DE7E7SSnw9U7Ydyb/dZ2Kgmk/Qo+GcF/V/NdXXKkfLN70+ouISEFSMkJERESkAKSkwedbMu6KsJR0I/y0H67Gw+NNwUEJCbOFBDSkfaMnTY+7tRzGoCnVWfvHAp7u9AHenmVtGJ2IfUlIhk83wekoy9WZkgYrdsG1BOhSz3L1FifqB4s3vf6FV0BAAJMnTyYgIMDWoYiIWIxG2BQRERGxsvR0WLTNsomIm+0Ig+//sk7dxU0JFw+qV2qO0Wjk/OXjtg5HxG4kp8J/N1s2EXGzdX/D+oPWqbu4UT9YvOn1Lzy8vb3p3r073t7etg5FRIqgihUr2jqEbCkZcYtTp07x2WefMWTIEBo1aoSLiwsGg4GBAwfmuo7vv/+ebt264e/vj6urK/7+/oSGhjJ16tRs2zMYDLn6effddy24pyIiIlJQNh2Gv8Ot28aWfywz7IlAxL8nX7zcfWwciYj9WLMvY54Hq7axF05ctG4bxYX6weJNr3/hEB0dzZIlS4iOjrZ1KCJSAAwGA/Xq1eOZZ55h7ty5/Pzzz2zZsoWNGzeycuVK3nrrLbp06UKZMnefNPCll17in3/+oWPHjgUQuXk0TNMtZs6cyaxZs/JUNjk5mX79+rFixQoAKleuTIUKFbhw4QJbt27lwIEDjBkzJksZNzc3WrVqlWOd169fZ//+/QC0bNkyT3GJiIiI7URehbX7zSvzcifwKpEx7Mj0n3Jf7ptdEFwOPN3Ma684S0yJ52pcFEZjxljZq3Z8Sti5PVSv0JTAshqEXsQSTlyELUfMK5OXftBIxnwUY7uAi77p5pr6weJNr3/hFRERwYQJE6hfvz4+PkoMidir0qVL8/TTTzN06FCqVKmS43Y9e/YEICUlhW+//Za5c+eyZcuW27Z76aWXmDFjBpBxwXzt2rU5frzw3Ommj2i38PX1pUuXLjRp0oTGjRuzdu1a5s6dm6uyzz77LCtWrKBTp07MmTOH4OBg07qYmJhs3yB+fn5s27YtxzqnTJnC/v37CQwMpF27dubvkIiIiNjUN39Aarp5ZbxKgLe7+W3FJsKqvfBEc/PLFleL141n8brxWZbdV7snLzzysY0iErEv6UZY9ntGosAcee0Ho67DL39D1/rmly2u1A8Wb3r9RURsw8HBgRdffJEJEybg7p77Dz3Ozs707t2b3r17s2PHDp5++mn++ecfIGsiAuDDDz8sVIkIUDLiNm+++WaWxzt37sxVuXXr1vHll1/SrFkzVq1ahZNT1qc2c6w/cy1evBiA/v374+Bgv6NqhR/azMqJodz3xFQadX0l221mPWkgqH5XeryyuoCjExERyZvwaDhewEOG/HkSutXX3RG51bXZYFrXfZzU9BRORhxg+ebJRF0Nx8X5xhN44MRWXv+s821lU9OSSU9P4+cpaQUZskiR8k8EXLxWsG3+FgYd6oCzY8G2W1SpHyzecvP6J6cmMWxmQ0Ib9KVfuzdMy6csG0hM7AUmPrvWFqGLiBRZwcHBLFq06LbRctavX8+PP/7IX3/9xd9//83169dxdHQkMDCQRo0a0axZM/r27Uv58uUBaNGiBXv37uWtt94iLS2N6dOnm+oaP3487733XoHuV27YfTIiKiqKKVOm8O233xIeHk7ZsmXp2bMnEydOZOTIkXz++ed89NFHjBgxIl/tZGad3nzzzdsSEXn1119/cfBgxixsAwYMsEidIiIiUnC2Hyv4NtPSYedxaF+r4NsuigJ8Q2hYtT0ATat3pva99zFq7n3MWjmEN55cBkCdyvez6oPYLOWirp5n+OzG9GiZv8+QIvZu29GCbzMuCfachqaVC77tokj9YPGWm9ffxcmVsX0WM3pua5rXeIjge+qx/e/v2Xl4FfNfPmDL8EVEipxGjRrx008/4evra1o2b948pk+fztGjt39wSklJISwsjLCwMJYvX864cePo2bMn7733HlWrVsXNze22eYoLayIC7HwC671791KnTh2mTp1KZGQkNWvWJCUlhdmzZ9O7d28OHz4MQP369fPVTkJCAuvXr8fBwYHQ0FB+//13hgwZQvv27Xn44YeZNGkSUVFRZte7aNEiAJo1a0a1atXyFaOIiIgUrLR0+OuUbdr+86Rt2rUHtYJa0r5hfzbvW87BU79lu01yahLvLu5J7aD76Nvu9QKOUKToiEuCQ+ds07b6wbxTP1i85fT6Vw1sxGMPvMKUZU9xKSacmSsG88IjH+Nb6h4bRmvfPDw8aNWqFR4eHrYORUQspG7duvzyyy+mRERYWBitW7dmyJAh2SYispOSksLy5cupX78+//nPf0hPzzom8DvvvFNoExFgx8mIqKgounXrRmRkJKNHjyYiIoLdu3cTGRnJ5MmTWbNmDbt27cJgMFC3bt18tbVv3z5SU1MpU6YMc+bMoUWLFsybN48NGzbwv//9j9dee42QkBA2bdqU6zpTUlJYunQpAAMHDsxXfCIiIlLwLlyF5FTbtZ2YYpu27UG/9m/h4ODIop/fznb9rJVDSE5JZEzvhQUbmEgRczba/LkiLOXMZTDaqnE7oH6weMvp9e/X/k0cHZwYOrMB9aqEElq/j40iLB6CgoJYsGABQUFBtg5FRCzAy8uL1atXU7p0aQB+/fVXGjZsyNatW/NUX0JCAuHh4bcN65+QkJDvWK3JbpMRI0eOJDw8nBEjRjBt2jRKlixpWjd27Fjq1atHamoqQUFBeHl55autiIgIAK5cucKrr75Kly5dOHjwIElJSezfv5+2bdsSExNDz549CQ8Pz1Wda9asISoqCldXV3r37p2v+IqS1OR4Eq5HZfsjIiJSlJyNtl3bRuDcFdu1X9QF+FYhtF4f9oRt4MCJrF8Ovts2m98Pr+bdgd/j5pKH2XVFipGzl23XdmIKRMXefTvJnvrB4i2n19/J0ZmaQS25GhdFx8ZP2zDC4iEtLY3Y2FjS0jQni4g9mD59OhUqVAAy5iju2rUr169fz3N9t05WnXmHxHvvvUeNGjXyF6wV2WUy4vDhwyxfvhxfX18+/PDDbLdp1KgRAPXq1ct3e3FxcQCkpqYSHBzMd999R82aNXFxcaFOnTqsWrUKPz8/YmJimDlzZq7qzJy4unv37qaM2c22bt1K+/bt8ff3x9XVlcDAwCxDTxVVO1eOZ/7Qstn+iIiIFCWRV23cfoxt2y/qnmj3Bg4GBxatu3FV6N6wTSxYM463+n+Dn0+Q7YITKSLUDxZt6geLt+xe/wMntrLuz4X0aDWCuT+8SFJK4b76tqg7cuQITZo04ciRI7YORUTy6cEHH2TQoEEAXLt2jV69epnOJ+fFrYmI8ePHmyavdnV15YsvvshfwFZklxNYL126lPT0dPr164enp2e225QoUQKwTDLCzc3N9PeIESNwdnbOst7d3Z2hQ4cyfvx4fvrpJ6ZNm3bH+i5fvsyaNWuAnIdounLlCnXq1OH555+nXLlyhIeH8+GHH9KiRQv+/vtvAgMDzd6Pxo0bExkZaVYZR+cSPDLBcrNz1g4dTEizx7Nd992kBy3SRtWQENL0oUlERKyswSMfEty8f7brXu4EXiVyLuvlduP3O4/cuZ1rCTD9p9uXv/XO+xzdMi+X0RYMF6cSzB9hg1m9s1EvuA2/TM15DJdK5Wvw85QbVyJGRp9iwle9eO6hqdQLblMAEZonpGoIyan6fCOFS4unFhBQq1O26wqiHxw89AXO7v0ul9FaR2Hq925lb/3grYp6v2jt9465r39CUixTlw9kUOdJdGsxlNGfPsDna19naPcZOdZhKUX9tbyZOcNwZ47C8eOPP7Jnz55cl1u4cKGZURU+jzz9Eh6eXkRERhAYGHjbY3un/S96+3/rvA23eu2110x/jx49mrNnz+a5rewSEe+99x5ubm5069aNatWq0axZM9q2bcvGjRtzrCckJOS2IZ5yy8/Pjz///DNPZe0yGZH5RIeGhua4TeZwSZZIRtx850JOt8FkLj958u4zqS1dupTk5GT8/Pzo2LFjttt0796d7t27Z1nWpEkTqlWrxsqVK3nxxRdzG75JZGQk586ZN8Ock6tlb8v19guhYu32Fq3zVucjzpOaFG/VNkRERKrG5jw+iFcJ8M7Fv1AHh9xtl52YmBiz/69bm5tz0RzOIzE5nvELH6ZFze483GqErcPJVsT58ySm6PONFC53GrO4IPrBK9GXbd4PFtV+71ZFoR+8VVHvFwvbe2feqtH4+dxL95bDMBgMjOm1kCEz69Oq9iPUrdzaqm0X9dfyZvHxud+PxMRE029zytm637OE9H+HpkpPS+PcuXO3PbZ32n/72v8aNWqYzlH/888/fPbZZ3muK6dEBGT0FW+99Rb/93//B8CwYcPumIzITHgWNLtMRpw+fRqASpUqZbs+NTWV7du3A5ZJRlSvXt30t4uLS7bbZN49kZux/hYtWgRAv379cHR0zHUcZcqUAcDJKW8vq5+fn9llHJ3vcDlTIXWP/z26M0JERKzO1dmQ47prd/k35OWWcQIuPR2uJd5525zq8izhTEBAwF2iLFguTkXvcwPA1gMrORGxj3NRR9m8b/lt6z975RDlSle0QWQ3+N9zj91cNSr2w9kh56uuC6IfLOnpZvN+sKj2e7cqCv3grYp6v1iY3jt/HFnL5n3Lmf/yfgyGjM839/gGM6jzJKYtf5p5o/dTwsXDau0X9dfyZu7uuU8yZZ5HcnNzM6ucrfs9S3D491yYg6MjAQEBtz22d9r/orf/6enpOZ7cf/bZZ01/z507F6Mx589Hd3KnRESm7777joiICPz9/enRowflypXj4sWL2dbn7++frzsj8soukxGZY27ldCXO8uXLiYqKomTJktx77735bi8gIICKFSty5swZTpw4ke0dGcePHwe46+1Ehw4dMt3mkpvb99LS0khPT+f06dO89tpr+Pn50atXL/N3AvJ0e01SKoy7/bNooXb02DFc7fKdLyIihcnvx2HpzuzXZTecyM3eeSTjSuBrifBOHkcYWfjJJCqXm5S3wlaSlgybZts6CvM92Kg/DzbKfsitwuLY0WM4Zn9NjIjN/PI3rNmX/bqC6AfXrvwc35J5K2spRbXfu1VR6AdvVdT7xcL03mlavTPfvx9z2/IerYbTo9Vwq7df1F/Lm5kz/8PBgwf5/PPP6dKlC7Vq1cp1uQkTJuQltEJl4sdLuBYbh7+fP+Hh4bc9tnfa/6K3/3FxcTlOFXD//fcDGQmLzDmCzZWbRARkXID/1VdfMWbMGJycnGjevDk//PBDtnUeO3YMDw/rJZJzYpcTWGdmZ3bv3n3buoiICMaMGQNA3bp1TVn9/MpMAGTe1XAzo9FoGrOvbdu2d6wn803ZsGFDateufdd2H3jgAVxcXAgJCWHv3r1s3LiRsmU12bOIiIitVfCxXdsGIKD0XTcTEbGqCmVs13YJFyiT/TkBEZEioWrVqmzfvp2qVavaOhQRySNnZ2fq1q0LZAzRFBMTY3YduU1EZNq588YVcY0aNTK7PWuzy2RE+/YZcw5MnjyZo0ePmpbv2rWL0NBQoqKiAKhfv77F2hwzZgxeXl5s3bqV999/3zQcU2pqKuPGjWPfvn24uroyatSoHOtIT0/nq6++AmDAgAG5avezzz5j586dLF26FC8vLzp06MCZM2fyv0MiIiKSL+VLYbM78fxKgauzbdoWEclUwQcsdO2X2SrasG0REUtwdnbGx8cHZ2d9qBMpqmrUqIGrqysAf/31l9nlzU1E3NpOw4YNzW7T2uwyGTF27FjKlCnD2bNnqVWrFnXq1CEkJISmTZtSuXJl090J2c0XsX37dnx9fU0/06dPB2DZsmVZlmfOOZGpXLlyLFu2DFdXV95++238/f1p1qwZfn5+TJ06FScnJxYsWJDjBNcA69ev59y5czg7O9O3b99c7WvmDOl9+vRhw4YNXL9+nSlTpuT2qRIRERErcXSARkG2abtJZdu0KyJyMw9XqGWjoZ3VD4pIUXfmzBmGDRumC05FijAfnxu3y589e9assnlJRNzazs3tFxZ2OXJ+YGAgW7duZcyYMfz666+cOnWKmjVrMm/ePJ577jmCg4OB7JMRKSkpXL58+bblSUlJJCUlZdnuVp07d2bPnj1MnDiRDRs2sGfPHnx8fOjVqxfjxo27azYqc4inrl274uvra9Y+A3h7e1OlShXCwsLMLmtrgTXb8OJXd57A5W7rRURECptWVeG3Av637OQATXUSTkQKiVYh8HcBD+/s4Qr1CtdcyiIiZrt+/TqbNm1i+HDrz8shItaxZ88eHnjgAdzc3Dh9+nSuy7m7u2c59nObiICMkXe6du1KYmJitue4bc0ukxGQcRvM6tWrb1seGxvLqVOncHBwyHZOhjZt2uR5VvPMdr/88ss8lV2yZAlLlizJc9sXL17kn3/+oVmzZnmuQ0RERCwnoDSElIdjFwquzcb3gqdbwbUnInIn1fwzho6LvFpwbbYKAWfHgmtPREREJDtXr15ly5YtZpeLj48nNDSUzZs3s3jx4lwnIjL9+OOPZrdZUOw2GZGTgwcPYjQaqVq1Ku7u7rYOJ8+efPJJqlSpQv369fH29ubYsWPMmDEDJyenO85LISIiIgXr8aYw9UdISbN+WyXdoFsD67cjIpJbDgbo3Qxm/wL5uOYr18p5Qfta1m9HpDBKTknkgyV9OH3hEK7OJfD2LMfInp8Q4FsFo9GIwWBg8bp36NB4IOVLV8JgMPDgGAPfvXcFzxLeZrW1eN079Al9FRfnvF8BEX7pGFOXD+BqXBQebqUY03shQX46gEVEAMLDw2nQoAHXr1+3dSgWVeySEQcOHACyH6KpKGnevDmLFy9m1qxZJCYmUqFCBUJDQ3n99depVKmSrcMTERGRf5Xzgi714H+7c1/mWkLW37nVq2nG8CRFUW5OSOw7vpnXF3QmsGw107LZL+zA1bmE6STLlGUDGdtnoemxPViyfgI/7/oCgDb1+/BM5w9sHJGIee4tC22qw6bDuS+Tl37QYIAnmoNLEfmWm9sTsWv/+IxlmyZhTE+nfpW2jOw5FydHZ/WJqE/MTpdmg2lavTMGg4Hvt89h+jfP8p+hm9l6YCX/nN1FSmoS/5z9g4U/vcmwHrPy3M6Xv7xLz/tfylcyYtbK5+nSbDAdmwxky/4VTF0+kI9f3JXn+kRE7I29JSJAyYgia8SIEYwYMcLWYYiIiEguPFANTl6C/bmcs2z6T+a3EVoD6lQwv1xhkdsTEoFlqzHv5b23LZ/z/QvUCmpFenoq32+fw/W4y/TvML4AIreu/Se2sGnvUuaN3o+jgxMvfdyKWkEtaVajq61DEzFLl3pw5jIcv5i77fPSD3ZvkJH4KCpy0+9FRJ9k4c9v8cmLuyldsjxvL+zBmp3z6dEqYxxp9YnqE2/m4uxGsxpdTI9rVGzOil+nAdC67mOUL12JsfPacSJiHxMHrTUlEr75dRq/H15DYnIc/R8cT7uG/Ux1/HN2FwvWjCMu6Rrp6Wk80fZ19oRtAGDU3PtxMDgyafA6SnuW48Ov+3H20j+kpiZT1rsCox//DB8vv2xjvRJ7kaPhfzLpuXUA3F/nUeZ8N4JzUWEE+FaxyvNT1JQvX55x48ZRvnx5W4ciImIxSkaIiIiIWJmDAzzVCr7YCgfPWb7++0IyTsIVVZY4IfHCI3NY8OOrbNizhFr33mc66Xbm4hGmLX+a+KRrBJatRkJSLG0b9KVjk4Fs3PM1322dRUpaMkZjOgM7TaBFzW4AjP6kDSGBjTh6dheRV07RodEAalRqwdKNE4m6Gs7DrUby2AMvA/DkxCDaNXySvWEbuRRzlifavYGzkys/7pxP9PUIBnWZRGj9PgBmnagB2Lx3Oe0b9qeEiwcAnZo8w6Y9S3XiTYocZ0d4rg3M25SRnLW0znUzkrJFRW77va37V9CiZndTP/FQ8yEs3TjRlIzIifpEAfhu2yxa1OoBwNYD33LkzO90aPI0tYNaMWPFYIZ2nwGAAQOfjtpDxOUTDJ/VmFpBrfDzCSI2IYYZKwbzwaAfKePlz9W4KIbObMjsETtYs3MeM4ZtzTK809DuM/H2zMgILts4icW/vMNLj36abWyXYs7i4+WPo2PGaSmDwUC50hW5GHNGyYh/+fr6MnDgQFuHISJiUcUuGbFx40ZbhyAiIiLFkJMjPNMavvsLth21TJ0OhowTcO1rZQxPUlSZc0IiIvo4Q2c2xMHgSMcmT9O95TAAPv7fi9So2Ix2DfqRlpbCkvUT6Nf+TSYv7U+3lsPo1ORpTl84zNCZDWjboC8Ajat2JLT+ExgMBiKjTzHyo+Y0euM0Lk4ZY11dvHKaqUM2EZ94jSc/DOJ6whVmDNvK5WvneXpKNTo1fcZ0EiYxOY5ZI37jXFQYg/9Th77t3mD2Czv45+wu3visi+nEmzknajKemzPUvvc+0+PypYPYvHeZBZ51kYLn5gxD2sLynbD7tGXqdHaERxpByxDL1FdQctvvXYw5Q/nSN4bh9fMJ4mLMGdNj9YnFq08c+VELzkUdy3bdJ6P2UM77xi2SX2+YyPmoMKY8n3EXw321H+H+Oj1ZvO4dqlVoSuu6j5uG7urc7FkA/MtUpk7l1hw4sQU/nyAOnvqNiOgTvL6gc5a2zl76J9sYNu75mvW7vyQlJZHk1ES8PHzzvc/F2dWrV9mxYwctWrSgVKlStg5HRMQiil0yQkRERMRWHB3gsSZQtwIs3QlX4vJeV0Bp6Nsi43dxUSWgIUvfCMejRCkuxYTzxmddKOXhywP1ejGs+0wMBgN//rOOh+97AaPRSFziNY6f38uDjZ4CoFL5GtQOunESKyL6JB9+3Y+oq+E4ODhxPSGayOiTVCxXHYD76z6Go4MjJd1L4+9TmeY1HsJgMOBbKgBvj7JERp+iSkB9AB6o1xuAAN8quDi7cX/dxwCoGtiY6/HRxCbE4FnCWydqpNhzdYKn7oN6FeGbXRCbmPe6KpeFJ1pA2ZKWi68oUZ9Y/Mx+YUeutvtm8zS2/f0tUwavx83FHcCUeHiqwzt3r8B0hYORoPK1mDXit7sW+fvkNr7fNptZL+ygtGc5fjv4A4t+fjvH7ct6VyD6WgRpaak4OjphNBq5eOUM5bwr3j2+YiI8PJxRo0axYsUKJSNExG442DoAERERkeKmqh+82hV6Ns6Y4NoclcpkJCFe/v/27j2qyjrf4/hnX7huQMhEEAQCFCUN1CgVTSkvKCRNeTtnLMv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"text/plain": [ - "
" + "
" ] }, - "execution_count": 11, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -86,12 +90,13 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Sample and plot cost landscape" + "# Sample and plot cost landscape\n", + "The cost landscape is sampled using angles $\\gamma, \\beta$ $\\in$ $[0, \\frac{\\pi}{2}]$. In the plot a maximum and minimum of the cost function is seen. The cost landscape is periodic with period $\\frac{\\pi}{2}$ in $\\beta$." ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 13, "metadata": {}, "outputs": [ { @@ -108,7 +113,7 @@ }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -124,7 +129,7 @@ "_=pl.ylabel(r'$\\beta$')\n", "ax = pl.gca()\n", "_=pl.title('Expectation value')\n", - "im = ax.imshow(qaoaec.E,interpolation='bicubic',origin='lower',extent=[0,np.pi,0,np.pi/2])\n", + "im = ax.imshow(qaoaec.E,interpolation='bicubic',origin='lower',extent=[0,np.pi/2,0,np.pi/2])\n", "divider = make_axes_locatable(ax)\n", "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n", "_=pl.colorbar(im, cax=cax)" @@ -134,29 +139,30 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Search for the best parameters at depth = 1 and plot histogram" + "# Search for the best parameters at depth = 1 and plot histogram\n", + "The values for the parameters $\\gamma$ and $\\beta$ are found by the optimizer, and the circuit is then measured 2048 times. The measurement outcomes are seen in the histogram below." ] }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "cost(depth= 1 )= 1.555859375\n" + "cost(depth= 1 )= 1.58896484375\n" ] }, { "data": { - "image/png": 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c0LJlS+zcudNynSIiIiLKR7bWDpCdsWPH4vLlyyhevDh8fHxw+fLlJ/5OSEgIypQpk6W9aNGiWdpWrFiBPn36wMvLC/369QMArF69Gm3btsWaNWvQrVu3Z+wBERERkXVpsshbtGgRAgMDERAQgGnTpmHMmDFP/J1+/fqhRYsWT1zvzp07ePfdd1G8eHH89ddfKF26NABg1KhRqF27Nt5++220a9cOrq6uz9oNIiIiIqvR5Ne1bdq0QUBAgEUee+3atbh79y7effddtcADgNKlS2Po0KG4desWNmzYYJHnJiIiIsovmizy8mLfvn2YPn06vvzyS2zcuBEJCQnZrrdnzx4AQHBwcJZl7dq1AwDs3bvXYjmJiIiI8oMmv67Ni/Hjx5v8XLRoUcyZMwd9+/Y1aQ8PDwcABAYGZnkMY5txnewkJSUhKSlJ/Tk+Ph4AkJKSgpSUFACAwWCAjY0N0tLSkJ6erq5rbE9NTYWIqO02NjYwGAw5tj96XLvH9j+3jBkVRYGtrS3S09ORlpamLje255TdvH36P7a2jw7F1NTUXLXb2dnlmJ19Yp/YJ/bJ2n0y59urcVtYu0963E8FuU+5UeCLvJo1a+LHH39EixYt4OPjg5iYGGzevBmffvop+vXrh6JFi+Kll15S14+LiwMAuLu7Z3ksNzc3k3WyM3XqVEycODFL+7Zt2+Dk5AQA8Pf3R+3atXHq1ClERkaq61SqVAlBQUE4evQobt68qbbXqlULAQEB2LdvH+7du6e2N2rUCCVKlMC2bdsAdMzlFnm8LVu2AABcXV3RqlUrREVFISwsTF3u5eWFxo0bIzw8HGfPnlXbLdGnjAdpy5Yt4ejoqOYz6tChAx48eIDdu3erbba2tujYsSNu3bqFQ4cOqe3sE/vEPrFPWukT0ArmsmXLFk30SY/7qaD26cSJE8gNRTKWsRpkvPBi8eLF6pWwubFz5060bdsW1apVw6lTp9T2ihUrIjw8HCkpKWoVbpSSkgJ7e3vUqFEDf//9d7aPm91Inp+fH27duqUWiZb4VPHOPPOM5H07hCN57BP7xD6xT5bu09vfmG8Mxfi6be0+6XE/FdQ+xcbGwtPTE3FxcWrtkZ0CP5KXk9atW6N8+fI4ffo04uPj1Y1gHMGLi4uDp6enye8Yv3rNbpTPyMHBAQ4ODlna7ezsYGdnWojZ2NjAxsYmy7qZi8sntWd+3GeR+bEMBgMMhqynZuaU3dJ9epr2nLKzT+zT49rZJ/bJWn3Kq4x901qf9LifCnKfsjxfrtYqoIoXLw4AuH//vtr2uPPuHne+HhEREVFBotsiLzExEf/88w+cnZ3VYg8AmjdvDgD//zw3U6GhoSbrEBERERVUBbrIu3fvHs6dO5el/cGDBxg4cCDu3buHHj16mAxr9ujRA+7u7pg7dy6uXLmitl+5cgXffPMNihcvjpdffjlf8hMRERFZiibPyVu0aBH2798PADh9+rTaZrzHXdOmTTFgwADcvn0bQUFBqF+/PipXrgxvb29cv34dO3bswJUrV1C9enV8+eWXJo9drFgxfPPNN+jTpw/q1KmDnj17Ang0rdnt27exevVqznZBREREBZ4mi7z9+/dj6dKlJm0HDhzAgQMH1J8HDBgADw8PvPPOOzh69Ci2bNmCO3fuwNHREZUrV8awYcMwdOhQODo6Znn8119/HcWLF8eUKVOwePFiKIqCunXrYuzYsWjTpo3F+0dERERkaZq/hYrWxcfHw93d/YmXMT+rgbPN8zgLh5vncYiIKGfmes0G+LpNWeW29ijQ5+QRERERUfZY5BERERHpEIs8IiIiIh1ikUdERESkQyzyiIiIiHSIRR4RERGRDrHIIyIiItIhFnlEREREOsQij4iIiEiHWOQRERER6RCLPCIiIiIdYpFHREREpEMs8oiIiIh0iEUeERERkQ6xyCMiIiLSIRZ5RERERDrEIo+IiIhIh1jkEREREekQizwiIiIiHWKRR0RERKRDLPKIiIiIdIhFHhEREZEOscgjIiIi0iEWeUREREQ6xCKPiIiISIdY5BERERHpEIs8IiIiIh1ikUdERESkQyzyiIiIiHSIRR4RERGRDrHIIyIiItIhFnlEREREOsQij4iIiEiHWOQRERER6RCLPCIiIiIdYpFHREREpEMs8oiIiIh0iEUeERERkQ7lucjbt28fIiMjH7tOVFQU9u3bl9enICIiIqI8ynOR17JlSyxZsuSx6yxbtgwtW7bM61MQERERUR7lucgTkSeuk56eDkVR8voURERERJRHFj0nLzw8HO7u7pZ8CiIiIiLKhu3TrPzGG2+Y/Lxx40ZcunQpy3ppaWnq+Xjt27d/poBERERE9PSeqsjLeA6eoigICwtDWFhYtusqioL69etj1qxZz5KPiIiIiPLgqYq8ixcvAnh0Pl65cuUwfPhwvPfee1nWs7GxQbFixeDs7GyelERERET0VJ6qyAsICFD/f/Hixahdu7ZJGxERERFpw1MVeRmFhISYMwcRERERmVGeizyjo0eP4tixY7h79y7S0tKyLFcUBePGjXvWpyEiIiKip5DnIi82NhZdunTBgQMHHnvPPBZ5RERERPkvz0XeyJEjsX//frRo0QIhISEoXbo0bG2feWCQiIiIiMwgz1XZ5s2b0aBBA+zcuZOzWhARERFpTJ5nvHjw4AGaNWvGAo+IiIhIg/Jc5NWqVSvb2S6IiIiIyPryXOSNHz8emzZtwuHDh82Zh4iIiIjMIM/n5MXExKBjx45o3rw5evfujTp16sDNzS3bdfv27ZvngERERET09PJc5PXr1w+KokBEsGTJEixZsiTL+XkiAkVRWOQRERER5bM8F3mLFy82Zw4iIiIiMiNOa0ZERET5Zt++ffjyyy9x4sQJREdHY8OGDejSpYu6XEQwfvx4LFy4EHfv3kWTJk3w3XffITAwUF1n8uTJ+P333xEWFgZ7e3vcvXs3/ztSAOT5wgsiIiKip5WYmIiaNWti3rx52S7/4osv8PXXX2P+/Pk4cuQInJ2d0a5dOzx8+FBdJzk5Gd27d8fbb7+dX7ELpDyP5EVGRuZ6XX9//7w+DREREelI+/bt0b59+2yXiQhmz56NsWPHonPnzgCAZcuWoWTJkti4cSNeffVVAMDEiRMBAEuWLMmXzAVVnou8MmXK5OpGyIqiIDU1Na9PQ0RERIXExYsXERMTgzZt2qht7u7ueO6553Do0CG1yKPcyXOR17dv32yLvLi4OPz999+4ePEimjdvjjJlyjxLPiIiIiokYmJiAAAlS5Y0aS9ZsqS6jHIvz0Xe44ZIRQQzZ87EF198gR9++CGvT0FEREREeWSRCy8URcEHH3yAqlWr4sMPP7TEUxAREZHOeHt7AwCuX79u0n79+nV1GeWeRa+urVevHnbt2mXJpyAiIiKdKFu2LLy9vbFz5061LT4+HkeOHEGjRo2smKxgyvPXtbkRERHBiy6IiIhIlZCQgPPnz6s/X7x4EWFhYfDw8IC/vz+GDx+Ozz//HIGBgShbtizGjRsHX19fk3vpRUZGIjY2FpGRkUhLS0NYWBgAoEKFCnBxccnnHmmX2Yu89PR0XL16FUuWLMGvv/6K1q1bm/spiIiIqIA6fvw4WrZsqf48cuRIAI8mWViyZAk++ugjJCYmYtCgQbh79y6aNm2KrVu3okiRIurvfPrpp1i6dKn6c+3atQEAu3fvRosWLfKnIwWAIiKSl180GAyPvYWKiKBYsWLYs2cPqlevnueAWhcfHw93d3fExcXBzc3NYs8zcLZ5HmfhcPM8DhER5cxcr9kAX7cpq9zWHnkeyWvWrFm2RZ7BYECxYsVQv3599O/fHyVKlMjrUxARERFRHuW5yNuzZ48ZYxARERGROXHuWnpm9+7dw/DhwxEQEABHR0c0btwYx44dy3bdt956C4qiYPbs2fkbkoiIqJAxS5F34MABzJs3D1OnTsW8efNw4MABczwsFRADBgzA9u3bsXz5cpw+fRrBwcFo06YNrl69arLehg0bcPjwYfj6+lopqfU8qRCeMGECgoKC4OzsjGLFiqFNmzY4cuSIFRMTEVFB90xX1x48eBD9+/dXL4UWEfU8vcDAQCxevJj3tdG5Bw8eYN26dfj111/RrFkzAI8Klt9++w3fffcdPv/8cwDA1atX8e677yI0NBQdO3a0ZmSrGDBgAM6cOYPly5fD19cXK1asQJs2bfC///0PpUqVQsWKFfHNN9+gXLlyePDgAWbNmoXg4GCcP38eXl5e1o5PREQFUJ6LvH/++QfBwcG4f/8+2rZti5YtW8LHxwcxMTHYvXs3tm3bhnbt2uHw4cOoUqWKOTOThqSmpiItLc3k0nYAcHR0xP79+wE8uq1Onz598OGHH6Jq1arWiGlVuSmEX3vtNZPf+eqrr/DDDz/g1KlTvA0RERHlSZ6/rv3ss8+QnJyMLVu2IDQ0FKNHj0ZISAhGjRqFrVu3YsuWLXj48CE+++yzp37sFStWYPDgwahXrx4cHBygKMpj58qNj4/HyJEjERAQAAcHB5QpUwYffvghEhISsl0/PT0dc+fORfXq1eHo6AgvLy/06tULFy5ceOqshZ2rqysaNWqESZMm4dq1a0hLS8OKFStw6NAhREdHAwCmT58OW1tbDBs2zMpprSM3hXBGycnJ+P777+Hu7o6aNWvmV0wiItKZPBd5e/bsQbdu3fDCCy9ku/yFF15At27dsHv37qd+7LFjx+L777/H5cuX4ePj89h1ExMT0bx5c8yaNQtBQUEYMWIEKlWqhBkzZqBVq1Z4+PBhlt8ZPHgwhg0bBhHBsGHD8MILL2D9+vWoX78+wsPDnzpvYbd8+XKICEqVKgUHBwd8/fXX6NWrFwwGA06cOIE5c+ZgyZIlj72vop7lphAGgM2bN8PFxQVFihTBrFmzsH37dhQvXtyKyYmIqCDLc5EXFxeHsmXLPnadsmXLIi4u7qkfe9GiRbh06RJu3ryJt95667HrfvHFFwgLC8OoUaMQGhqKadOmITQ0FKNGjcKxY8cwa9Ysk/V3796NRYsWoVmzZvjrr78wffp0LF++HBs3bkRsbCyGDh361HkLu/Lly2Pv3r1ISEhAVFQUjh49ipSUFJQrVw5//vknbty4AX9/f9ja2sLW1haXL1/G+++/jzJlylg7er55XCFs1LJlS4SFheHgwYN44YUX0KNHD9y4ccOKqYmIqCDLc5Hn6+uLw4cPP3adI0eO5OlKyjZt2iAgIOCJ64kIFi1aBBcXF4wbN85k2bhx4+Di4oJFixaZtC9cuBAAMGnSJNjb26vt7du3R4sWLbBt2zZERkY+dWYCnJ2d4ePjgzt37iA0NBSdO3dGnz59cOrUKYSFhan/fH198eGHHyI0NNTakfPN4wphI2dnZ1SoUAENGzbEDz/8AFtbW/zwww9WTE1ERAVZni+8eOmllzB37lyMGzcOn3zyicn5Rg8fPsTUqVOxe/dui56HFR4ejmvXrqFdu3ZwdnY2Webs7IwmTZogNDQUUVFR8PPzA/Doa2bjsszatWuHPXv2YO/evejTp0+2z5mUlISkpCT15/j4eABASkoKUlJSADya9cPGxgZpaWlIT09X1zW2p6amIuNscjY2NjAYDDm2P3pcu6fcOtkzZlQUBba2tkhPT0daWpq63NieU/bs2nfs2IHU1FQEBgYiIiICo0ePRlBQEPr37w9FUUymXLGxsYGdnR28vLxQrlw5NY+t7aNDMTU11SRvTu12dnY5ZjdHn/K+nx6f3d7eHt7e3oiNjUVoaCimTp2q/l7mPqWnp+PBgwfq/2u1T49rL6j7iX1in561T+acGj6n14j87pO599M788zzvgY8mvpNC30C8m8/5Uaej8Jx48Zh8+bNmDJlChYsWIAGDRqgZMmSuH79Oo4dO4abN2+iXLlyWUbYzMl4/lxgYGC2ywMDAxEaGorw8HD4+fkhMTER0dHRqFatGmxsbLJdP+PjZmfq1KmYOHFilvZt27bByckJAODv74/atWvj1KlTJqOClSpVQlBQEI4ePYqbN2+q7bVq1UJAQAD27duHe/fuqe2NGjVCiRIlsG3bNgDmue3Ili1bADw6T6xVq1aIiopCWFiYutzLywuNGzdGeHg4zp49q7Y/rk9xcXEYMWIEbty4oZ5/Nm3aNNjZ2WHXrl1Z+gQAZ8+eVbMAj76qdHR0NGkDgA4dOuDBgwcm53ba2tqiY8eOuHXrFg4dOqS2m7NPed1PGf/wMvbp5MmT6te1fn5+GDVqFEqWLIkSJUpg/fr1WLduHUaOHAk7Ozvs2bMHf/zxB6KiotSvtLXYJz3uJ/aJfTJXn4BWMJctW7Zook/m3k9A52fZLFlooU/5tZ9OnDiRq22iSMYy9indunULH330EVatWmVygUORIkXQq1cvTJ8+/ZlPHJ82bRrGjBmDxYsXo1+/fibLVq5cid69e+OTTz5R78eW0SeffIIpU6Zg/fr1ePnll3Ht2jWUKlUKTZo0yfaqxu3btyM4OBjDhg3DnDlzss2T3Uien58fbt26pY5YWeKTkrk+8Xw7xPwjeXr+pGSuPq1duxbjxo3DlStX4OHhgVdeeQUTJ06Eu7s7Hj58iD59+uDYsWO4desWPD09UbduXXz88ceoX7++ZvuUm/aCtp/YJ/bJXH16+xvzjeQZX7et3SeO5Gnn2IuNjYWnpyfi4uJMvi3L7JmOwuLFi+PHH3/EggUL8N9//yE+Ph5ubm4ICgqCnZ35dp6WODg4wMHBIUu7nZ1dlj7b2NhkO2JoPDBy227ObZn5sQwGg8nJ/0Y5Zbd0n56mPafsWuzTa6+9luVeeBmXb9y4MdtlRlrsU27bC9J+ym27NfqUlpaGiRMnYsWKFYiJiYGvry/69euHsWPHqhkTEhIwevRobNy4Ebdv30bZsmUxbNiwLBewaaVPj2svqPvpce15lbFvWuuTOfaTuWipT9baT1nWy9VaGUyePBmJiYmYOHGi2jE7OztUr15dXSc5ORmffPIJXF1dMXr06Kd9ilxzd3cHgByv4DWeL2dc72nXJyLSiunTp+O7777D0qVLUbVqVRw/fhz9+/eHu7u7eu7zyJEjsWvXLqxYsQJlypTBtm3b8M4778DX1xcvvfSSlXtARPntqa6u3bFjBz799FN4eno+thq3t7eHp6cnPvnkkzzdJy+3nnQOXeZz9oxXf168eNFkuDSn9YmItOLgwYPo3LkzOnbsiDJlyqBbt24IDg7G0aNHTdYJCQlBixYtUKZMGQwaNAg1a9Y0WYeICo+nKvKWLVuGYsWK5epeckOGDIGHhwcWL16c53BPEhgYCF9fXxw4cACJiYkmyxITE3HgwAGULVtWvbIWAJo3b64uy8x4Sw/j1FNERFrRuHFj7Ny5E+fOnQMA/P3339i/fz/at29vss6mTZtw9epViAh2796Nc+fOITg42FqxiciKnqrIO3jwINq0aZPtOWmZOTg4oE2bNtkWU+aiKAoGDBiAhIQETJo0yWTZpEmTkJCQgIEDB5q0Dxo0CMCjq4OTk5PV9j/++AN79uxBcHBwru7RR0SUn0aPHo1XX31VPee5du3aGD58OHr37q2uM3fuXFSpUgWlS5eGvb09XnjhBcybN48fXIkKqac6J+/atWsmN299krJly+LXX3996lCLFi1Sr349ffq02rZnzx4AQNOmTTFgwAAAwEcffYRff/0V06dPx8mTJ1GnTh389ddf2LZtG+rXr4/hw4ebPHbLli0xYMAALFq0CHXq1EHHjh0RHR2N1atXw8PDA3Pnzn3qvERElrZmzRr89NNPWLlyJapWrYqwsDAMHz4cvr6+CAkJAfCoyDt8+DA2bdqk3iJiyJAh8PX1RZs2bazcAyLKb09V5GV3afHjpKSkZHsVyZPs378fS5cuNWk7cOCAyaigschzdnbG3r17MWHCBKxbtw67d++Gj48P3n//fYwfPx6Ojo5ZHn/BggWoXr06vv/+e8yZMwcuLi54+eWXMXnyZJQvX/6p8xIRWdqHH36ojuYBQPXq1XH58mVMnToVISEhePDgAT7++GNs2LABHTs+uq9mjRo1EBYWhhkzZrDIIyqEnqrI8/X1xZkzZ3K9/pkzZ1CqVKmnDrVkyRIsWbIk1+u7u7tj1qxZWeapzYnBYMCwYcMsOhsHEZE53b9/P8uHZhsbG/UeWsZZdx63DhEVLk9V5D3//PNYsWIFLl269MTJ5S9duoRdu3ahb9++z5KPiIgAdOrUCZMnT4a/vz+qVq2KkydP4quvvsIbb7wBAHBzc0Pz5s3x4YcfwtHREQEBAdi7dy+WLVuGr776ysrpicganqrIGzJkCBYvXoxu3bph69atOc5mcfv2bXTv3v3RXb/fftssQUl7Bs42z+MsHG6exyHSM+Nc4e+88w5u3LgBX19fDB48GJ9++qm6zqpVqzBmzBj07t0bsbGxCAgIwOTJk7PcDJmICoenKvLq1KmD4cOHY/bs2ahSpQreeusttGzZEqVLlwYAXL16FTt37sT333+PmzdvYuTIkahTp45FghMRFSaurq6YPXs2Zs+eneM63t7eFr1tFREVLE8948XMmTNRpEgRfPnll5g8eTImT55sslxEYGNjgzFjxmQ7nyxRYcLRTiIispanLvIURcGUKVPw5ptvYvHixTh48CBiYmIAPPoU2aRJE/Tr149XqRIRERFZUZ5nUS5fvjxH6oiIiIg06ulvYkdEREREmscij4iIiEiHWOQRERER6RCLPCIiIiIdYpFHREREpEMs8oiIiIh0KM+3UCEiovzBm2oTUV5wJI+IiIhIh1jkEREREekQizwiIiIiHWKRR0RERKRDLPKIiIiIdIhFHhEREZEOscgjIiIi0iEWeUREREQ6xCKPiIiISIdY5BERERHpEIs8IiIiIh1ikUdERESkQyzyiIiIiHSIRR4RERGRDrHIIyIiItIhFnlEREREOsQij4iIiEiHWOQRERER6RCLPCIiIiIdYpFHREREpEMs8oiIiIh0iEUeERERkQ6xyCMiIiLSIRZ5RERERDrEIo+IiIhIh1jkEREREekQizwiIiIiHWKRR0RERKRDLPKIiIiIdIhFHhEREZEOscgjIiIi0iEWeUREREQ6xCKPiIiISIdY5BERERHpEIs8IiIiIh1ikUdERESkQyzyiIiIiHSIRR4RERGRDrHIIyIiItIhFnlEREREOsQij4iIiEiHWOQRERER6RCLPNKdCRMmQFEUk39BQUFZ1hMRtG/fHoqiYOPGjfkflIiIyIJsrR2AyBKqVq2KHTt2qD/b2mY91GfPng1FUfIzFhERUb5hkUe6ZGtrC29v7xyXh4WFYebMmTh+/Dh8fHzyMRkREVH+4Ne1pEvh4eHw9fVFuXLl0Lt3b0RGRqrL7t+/j9deew3z5s17bCFIRERUkLHII9157rnnsGTJEmzduhXfffcdLl68iOeffx737t0DAIwYMQKNGzdG586drZyUiIjIcvh1LelO+/bt1f+vUaMGnnvuOQQEBGDNmjXw8vLCrl27cPLkSSsmJCIisjyO5JHuFS1aFBUrVsT58+exa9cuREREoGjRorC1tVUvyOjatStatGhh3aBERERmxJE80r2EhARERESgT58+6NGjBwYMGGCyvHr16pg1axY6depkpYRERETmxyKPdOeDDz5Ap06dEBAQgGvXrmH8+PGwsbFBr1694OXlle3FFv7+/ihbtqwV0hIREVkGizzSnStXrqBXr164ffs2vLy80LRpUxw+fBheXl7WjkZERJRvWOSR7qxateqp1hcRCyUhIiKyHl54QURERKRDLPKIiIiIdIhFHhEREZEOscgjIiIi0iEWeUREREQ6xCKPiIiISId4CxXSjYGzzfM4C4eb53GIiIisSRcjeWXKlIGiKNn+y24+0qSkJHz22WcIDAxEkSJF4Ovri0GDBuHGjRv5H56IiIjIAnQzkufu7o7hw4dnaS9TpozJz+np6ejcuTNCQ0PRsGFDdO3aFeHh4Vi0aBF27tzJmRGIiIhIF3RT5BUtWhQTJkx44npLly5FaGgoevXqhZ9++gmKogAA5s+fj7fffhtjx47FggULLJyWiAqSadOmYcyYMXjvvfcwe/ZsAMDgwYOxY8cOXLt2DS4uLmjcuDGmT5+OoKAg64YlIvr/dPF17dNYuHAhAGDq1KlqgQc8esEuV64cfvrpJzx48MBa8YhIY44dO4YFCxagRo0aJu1169bF4sWL8e+//yI0NBQiguDgYKSlpVkpKRGRKd0UeUlJSViyZAmmTJmCb775BkeOHMmyzsOHD3HkyBFUqlQJAQEBJssURUHbtm2RmJiI48eP51dsItKwhIQE9O7dGwsXLkSxYsVMlg0aNAjNmjVDmTJlUKdOHXz++eeIiorCpUuXrBOWiCgT3XxdGxMTg/79+5u01a9fHz///DPKly8PAIiIiEB6ejoCAwOzfQxje3h4OJ5//vls10lKSkJSUpL6c3x8PAAgJSUFKSkpAACDwQAbGxukpaUhPT1dXdfYnpqaChFR221sbGAwGHJsf/S4drndFI9lzKgoCmxtbZGenm4y8mBszym7abv5MtnaPjoUU1NTTZbl1G5nZ5clu7nypKWlPcN+ypxdgTk823561mMvc5+ebT+Z59jLnz4NGTIE7du3R/PmzTFp0iT1+TNnv3//PhYvXoyyZcvC29s7y9/Zs/bJXMe28TH1tp+02Cdzvr0at4W1+2T+/WSe49pIG33Kv/2UG7oo8vr374/nn38e1apVg4uLC86dO4evvvoKy5cvR+vWrXH69Gm4uroiLi4OwKOLNLLj5uYGAOp62Zk6dSomTpyYpX3btm1wcnICAPj7+6N27do4deoUIiMj1XUqVaqEoKAgHD16FDdv3lTba9WqhYCAAOzbtw/37t1T2xs1aoQSJUpg27ZtADrmfoM8xpYtWwAArq6uaNWqFaKiohAWFqYu9/LyQuPGjREeHo6zZ8+q7dn3qbPZMrVs2RKOjo5qPqMOHTrgwYMH2L17t9pma2uLjh074tatWzh06FCGtc2TJzw8PM/7KeMfXsuWLQG4mSXTs+2nZzv2MvfpWfeTeY49y/fp3r17OH78OCZMmIAtW7bg9u3buHz5MgCofdqyZQuWLVuGhw8folKlSliyZAl27Nhh9j6Z69hOTU3V3X7S6rEHtMq6A/Joy5YtmuiTufeTuY5rIy30Kb/204kTJ3K1TRQx/bioK3379sXy5csxc+ZMjBw5EgcPHkSTJk3Qu3dvrFixIsv6CxcuxKBBg/DVV19hxIgR2T5mdiN5fn5+uHXrllokWuKT0jvzzPOJ59sh5hvJM2cmc3xSMlee+e+abyRv0BzzjOQtGFYQP6UX3JGHqKgoNGrUCNu2bUOVKlUAAG3atEHNmjXx9ddfq9nj4uJw48YNXL9+HbNmzcLVq1exZ88eFClSxKx9Mtex/f17HMnLrz69/Y35xlCMr9vW7pO595O5jmvg0f1NtdAnIH/2U2xsLDw9PREXF6fWHtnRxUheTgYPHozly5fjwIEDGDlypDqCl9NInfGr15xG+gDAwcEBDg4OWdrt7OxgZ2d6wNrY2MDGxibLusYDI7ftmR/3WWR+LIPBAIMh66mZOWXPqd1cmXLqa3btOWV/Vsb+WXM/ZWau/WSuPpljP2m5T6dOncKNGzdQt25dtS0tLQ1//vknvv32WyQlJcHOzg7FixdH8eLFUaVKFTRp0gTFihXD5s2b0atXL4v06VkZLzbTy356UrvW+pRXGfumtT6ZYz+Zi5b6ZK39lGW9XK1VQBUvXhwAkJiYCAAoV64cDAYDwsPDs13f2J7TOXtEVDgYT/PIqH///ggKCsKoUaOyfdEVEYiIyUg/EZE16ebq2uwYr7A13hDZ0dERDRo0wNmzZ9Vza4xEBNu3b4ezszPq1auX31GJSENcXV1RrVo1k3/Ozs7w9PREtWrVcOHCBUydOhUnTpxAZGQkDh48iO7du8PR0REdOnSwdvxC67vvvkONGjXg5uYGNzc3NGrUCH/88Ye6PCIiAi+//DK8vLzg5uaGHj164Pr161ZMTGRZBb7I+++//3D//v1s20eNGgUAeO2119T2QYMGAQDGjBlj8l38ggULcOHCBfTu3RuOjo4WTk1EGT3pzTkmJgZ9+vSBt7c3nJ2dUadOHaxbt85qeYsUKYI///wTHTp0QIUKFdCzZ0+4urri4MGDKFGihNVyFXalS5fGtGnTcOLECRw/fhytWrVC586d8c8//yAxMRHBwcFQFAW7du3CgQMHkJycjE6dOpmc80SkJwX+69pVq1bhq6++QrNmzRAQEABnZ2ecO3cOW7ZsQUpKCsaMGYNmzZqp64eEhGD16tX4+eefcfHiRTRv3hznz5/H+vXrUbZsWXz++edW7A1R4WR8cw4MDISIYOnSpejcuTNOnjyJqlWrom/fvrh79y42bdqE4sWLY+XKlejRoweOHz+O2rVr50vGPXv2qP/v6+ub5Uo7sr5OnTqZ/Dx58mR89913OHz4MK5evYpLly7h5MmT6onqS5cuRbFixbBr1y60adPGGpGJLKrAj+S1bNkS7du3x7lz57BixQrMmjULR44cQYcOHRAaGoopU6aYrG8wGPDrr79iwoQJuHnzJmbNmoUDBw7gzTffxKFDhzhvLZEVdOrUCR06dEBgYCAqVqyIyZMnw8XFBYcPHwYAHDx4EO+++y4aNGiAcuXKYezYsShatGiubyNAhU9aWhpWrVqFxMRENGrUCElJSVAUxeTCuSJFisBgMGD//v1WTEpkOQV+JK958+Zo3rz5U/2Og4MDxo8fj/Hjx1soFRHlVVpaGtauXau+OQNA48aNsXr1anTs2BFFixbFmjVr8PDhQ7Ro0cK6YUlzTp8+jUaNGuHhw4dwcXHBhg0bUKVKFXh5ecHZ2RmjRo3ClClTICIYPXo00tLSEB0dbe3YRBZR4EfyiEgfTp8+DRcXFzg4OOCtt95S35wBYM2aNUhJSYGnpyccHBwwePBgbNiwARUqVLByatKaSpUqISwsDEeOHMHbb7+NkJAQ/O9//4OXlxfWrl2L3377DS4uLnB3d8fdu3dRp04di9yKiUgLCvxIHhHpg/HNOS4uDr/88gtCQkKwd+9eVKlSBePGjcPdu3exY8cOFC9eHBs3bkSPHj3w559/onr16taOThpib2+vFv9169bFsWPHMGfOHCxYsADBwcGIiIjArVu3YGtri6JFi8Lb2xvlypWzcmoiy+DHF6JC6ElXs7Zo0QKKopj8e+uttyyayfjmXLduXUydOhU1a9bEnDlzEBERgW+++QY//vgjWrdujZo1a2L8+PGoV68e5s2bZ9FMVPClp6dnuXdh8eLFUbRoUezatQs3btzASy+9ZKV0RJbFkTyiQuhJV7MCwMCBA/HZZ5+pv2Ocmzm/GN+cjbdIyvyVmo2NjUVufTFwtvkea+Fw8z0WPdmYMWPQvn17+Pv74969e1i5ciX27NmD0NBQAMDixYtRuXJleHl54dChQ3jvvfcwYsQIVKpUycrJiSyDRR5RIfS4W00YizwnJyd4e3vnS57HvTkHBQWhQoUKGDx4MGbMmAFPT09s3LgR27dvx+bNm/MlHxUMN27cQN++fREdHQ13d3fUqFEDoaGhaNu2LQDg7NmzGDNmDGJjY1GmTBl88sknOc5TTqQHLPKICrnsrmYFgJ9++gkrVqyAt7c3OnXqhHHjxllsNO9Jb85btmzB6NGj0alTJyQkJKBChQpYunQpZ5cgEz/88MNjl0+bNg3Tpk3LpzRE1scij6iQyulWE8CjWWICAgLg6+uLU6dOYdSoUTh79izWr19vkSxPenMODAy06gwXREQFEYs8okLqcVezGqf/A4Dq1avDx8cHrVu3RkREBMqXL2/F1ERElFu8upaokMrpatbsPPfccwCA8+fP52dEIiJ6BizyiAhA9reaMAoLCwMA+Pj45GMiIiJ6Fvy6lqgQetzVrBEREVi5ciU6dOgAT09PnDp1CiNGjECzZs1Qo0YNa0cnypa5bn3D296QnrDIIyqEHnc1a1RUFHbs2IHZs2cjMTERfn5+6Nq1K8aOHWvt2ERE9BRY5BEVQo+7mtXPzw979+7NtywcgSEisgyek0dERESkQyzyiIiIiHSIRR4RERGRDrHIIyIiItIhXnhBVIjwIgciosKDI3lEREREOsQij4iIiEiHWOQRERER6RCLPCIiIiIdYpFHREREpEMs8oiIiIh0iEUeERERkQ6xyCMiIiLSIRZ5RERERDrEIo+IiIhIh1jkEREREekQizwiIiIiHWKRR0REVEhMnToV9evXh6urK0qUKIEuXbrg7NmzJus8fPgQQ4YMgaenJ1xcXNC1a1dcv37dSonpWbDIIyIiKiT27t2LIUOG4PDhw9i+fTtSUlIQHByMxMREdZ0RI0bgt99+w9q1a7F3715cu3YNr7zyihVTU17ZWjsAERER5Y+tW7ea/LxkyRKUKFECJ06cQLNmzRAXF4cffvgBK1euRKtWrQAAixcvRuXKlXH48GE0bNjQGrEpjziSR0REVEjFxcUBADw8PAAAJ06cQEpKCtq0aaOuExQUBH9/fxw6dMgqGSnvWOQREVGe7Nu3D506dYKvry8URcHGjRtNlickJGDo0KEoXbo0HB0dUaVKFcyfP986YSmL9PR0DB8+HE2aNEG1atUAADExMbC3t0fRokVN1i1ZsiRiYmKskJKeBYs8IiLKk8TERNSsWRPz5s3LdvnIkSOxdetWrFixAv/++y+GDx+OoUOHYtOmTfmclLIzZMgQnDlzBqtWrbJ2FLIQnpNHRER50r59e7Rv3z7H5QcPHkRISAhatGgBABg0aBAWLFiAo0eP4qWXXsqnlJSdoUOHYvPmzdi3bx9Kly6ttnt7eyM5ORl37941Gc27fv06vL29rZCUngVH8oiIyCIaN26MTZs24erVqxAR7N69G+fOnUNwcLC1oxVaIoKhQ4diw4YN2LVrF8qWLWuyvG7durCzs8POnTvVtrNnzyIyMhKNGjXK77j0jDiSR0REFjF37lwMGjQIpUuXhq2tLQwGAxYuXIhmzZpZO1qhNWTIEKxcuRK//vorXF1d1fPs3N3d4ejoCHd3d7z55psYOXIkPDw84ObmhnfffReNGjXilbUFEIs8IiKyiLlz5+Lw4cPYtGkTAgICsG/fPgwZMgS+vr4mV29S/vnuu+8AQP0K3Wjx4sXo168fAGDWrFkwGAzo2rUrkpKS0K5dO3z77bf5nJTMgUUeERGZ3YMHD/Dxxx9jw4YN6NixIwCgRo0aCAsLw4wZM1jkWYmIPHGdIkWKYN68eTleUEMFB8/JIyIis0tJSUFKSgoMBtO3GRsbG6Snp1spFVHhwpE8IiLKk4SEBJw/f179+eLFiwgLC4OHhwf8/f3RvHlzfPjhh3B0dERAQAD27t2LZcuW4auvvrJiaqLCg0UeERHlyfHjx9GyZUv155EjRwIAQkJCsGTJEqxatQpjxoxB7969ERsbi4CAAEyePBlvvfWWtSITFSos8oiIKE9atGjx2HO8vL29sXjx4nxMRI8zcLZ5HmfhcPM8Dlkez8kjIiIi0iEWeUREREQ6xK9riYjoqZjraz+AX/0RWRJH8oiIiIh0iEUeERERkQ6xyCMiIiJ6gnv37mH48OEICAiAo6MjGjdujGPHjlk71mOxyCMiIiJ6ggEDBmD79u1Yvnw5Tp8+jeDgYLRp0wZXr161drQcscgjIiIieowHDx5g3bp1+OKLL9CsWTNUqFABEyZMQIUKFfDdd99ZO16OWOQRERERPUZqairS0tJQpEgRk3ZHR0fs37/fSqmejEUeERER0WO4urqiUaNGmDRpEq5du4a0tDSsWLEChw4dQnR0tLXj5YhFHhEREdETLF++HCKCUqVKwcHBAV9//TV69eoFg0G7pZR2kxERERFpRPny5bF3714kJCQgKioKR48eRUpKCsqVK2ftaDlikUdERESUS87OzvDx8cGdO3cQGhqKzp07WztSjjitGREREdEThIaGQkRQqVIlnD9/Hh9++CGCgoLQv39/a0fLEUfyiIiIiJ4gLi4OQ4YMQVBQEPr27YumTZsiNDQUdnZ21o6WI47kERERET1Bjx490KNHD2vHeCocySMiIiLSIRZ5RERERDrEr2uJiIiIAAycbZ7HWTjcPI/zrDiSR0RERKRDLPKIiIiIdIhFHhEREZEOscgjIiIi0iEWeUREREQ6xCKPiIiISIdY5BERERHpEIs8IiIiIh1ikUdERESkQyzyiIiIiHSoUBd5x44dQ4cOHVC0aFE4OzujYcOGWLNmjbVjERERET2zQjt37e7du9GuXTsUKVIEr776KlxdXbFu3Tr07NkTUVFReP/9960dkYiIiCjPCuVIXmpqKgYOHAiDwYB9+/bh+++/x8yZM/H333+jYsWK+Pjjj3H58mVrxyQiIiLKs0JZ5O3atQsRERF47bXXUKtWLbXd3d0dH3/8MZKTk7F06VLrBSQiIiJ6RoXy69o9e/YAAIKDg7Msa9euHQBg79692f5uUlISkpKS1J/j4uIAALGxsUhJSQEAGAwG2NjYIC0tDenp6eq6xvbU1FSIiNpuY2MDg8GQY3tKSgqSH9rlsbembt9+lFFRFNja2iI9PR1paWnqcmN7Ttkztpszk63to0MxNTXVZFlO7XZ2dlmymyvPnTtped5PmbMnP1TMkunu3bzvp4ztyQ/NEkc9joyeZj9lPvbMfWznZT9lzG6uPAAQG5uap/2UObu5MsXFPXrMvOynjO3JD8331hEbm7f9lLndXH9rGY/tZ3ktN+c2MmZ62v2U+dgz599aXvdTxnZz/q3Fx8Ms77nJD80z9pXTa/azvOdmbI+NjQUAk/zZkkKoW7duAkCOHz+e7XIXFxfx8/PLdtn48eMFAP/xH//xH//xH//xn1X/RUVFPbbeUUSeVAbqT3BwMLZv347w8HBUqFAhy/JSpUohISFBHaXLKPNIXnp6OmJjY+Hp6QlFMc8nybyIj4+Hn58foqKi4ObmZrUcGWktk9byANrLpLU8gPYyaS0PoL1MWssDMFNBzANoL5NW8ogI7t27B19fXxgMOY8+Fsqva5+Fg4MDHBwcTNqKFi1qnTDZcHNz08QfQkZay6S1PID2MmktD6C9TFrLA2gvk9byAMyUG1rLA2gvkxbyuLu7P3GdQnnhhXHDZDdSBzyq1HOz8YiIiIi0qlAWeYGBgQCA8PDwLMtiYmKQkJCgrkNERERUEBXKIq958+YAgG3btmVZFhoaarJOQeHg4IDx48dn+SrZmrSWSWt5AO1l0loeQHuZtJYH0F4mreUBmCk3tJYH0F4mreV5kkJ54UVqaioqVaqEq1ev4vDhw+q98uLi4tCgQQNcunQJZ8+eRZkyZayak4iIiCivCmWRB+Q8rdnly5cxY8YMTmtGREREBVqhLfIA4OjRoxg/fjwOHjyIlJQUVK9eHSNHjkTPnj2tHY2IiIjomRTqIo+IiIhIrwrlhRdEREREescij4iIiEiHWOQRERER6RCLPCIiIiIdYpFHhU7Ga4143VH2Mm8jbiciooKHRR4VOoqiZPv/6enp1oijGRkLOUVRkJycrP6/cTulpaVZJZtWZTxmWAhnL+M2Kux/YznhNspZdn9X3Ea5x1uoUKHx4MEDHDx4EDt27ICdnR0URUHZsmXx/PPPo3z58taOpwlxcXFYv349Dhw4gLS0NKSnp6NKlSro2LEjqlWrpq4nIiYFcn6wxnPmRkpKCuzs7NSfjSOfBgM/QxvFx8fDzc1N/ZnbKCtuo8dLTk7G3bt3UaJECZP29PR0bqPHYJFHFpGSkgIbG5un/uOz1Bv5f//9h88//xwrV64EADg5OeH+/fsAAHd3d7Ru3RqvvvoqgoODTV5oLUlr2ygsLAyffvopNm/eDAAoXrw4bt26pS6vXbs2Bg4ciB49esDDw8Psz5+d+Ph42NrawsnJ6al+z9IF4YULF7Blyxb8888/sLe3h7OzM6pVq4aWLVvCx8fHYs9bUIgI/v77b/z000+4ePEiUlJS4Orqivr166NLly4ICAgwWVeLxbulcRs9WWpqKvbv34/58+cjOjoacXFxcHFxQbNmzdC1a1fUrVtXXZcfPHMgVODNmDFDdu7cKQ8fPrR2FNW4ceNk0aJFcu7cObl//36ufic9Pd1ieV566SVxcHCQcePGyZYtW+TPP/+U3377TYYOHSolS5YURVFEURTp3bu3hIWFWSxHRlrbRi+88II4OzvLzJkz5ejRoxIVFSUnT56USZMmSb169dRt1LhxY/n9998tliOjYcOGydixY2Xnzp1y9epVSUlJeeLvpKWlWTTTqlWrxN/fXxRFEYPBIC4uLuq28fHxkTfeeEN27NghSUlJImLZfWZ0//79PD2PpbItWLBAfHx8RFEU8fDwkOLFi6vbSFEUad26taxdu1YePHhgkefPTnR0tLpPnga30ZNZaht98cUX6napVKmS+ndn/Fe9enWZP3++JCQkWOT5s/Pvv//KvXv3TNrS09OfuA3y43UgOyzyCriLFy+qB3yVKlVk/PjxcurUqWzXNb75Xb16VdavXy9nz561SKZLly6pmQICAmTgwIGyadMmuXLliiQnJ2eb6dKlS/L111/L/v37LZLHYDDIxx9/nOM6mzdvluDgYLG1tZVatWrJ8ePHzZ4jcyYtbqPx48fnuM6hQ4fk1VdfFTs7OylTpoyEhoaKiOVevDJuI09PT3nxxRfl66+/lsOHD8utW7dM1jVmCA8Pl1GjRsnGjRstkikyMlKKFy8ugYGBsmXLFtm7d6/89ddfsmHDBunTp484OTmpb9pjxoyRu3fvWiRHRlevXpWQkBBZv369XL58OVdv0rkplvPq8uXLUrRoUalVq5YcOnRI/v33X4mNjZVDhw7JRx99JJUqVVL366uvvirnzp2zWBajK1euSPv27WXWrFly4MABuXHjRo7HrbE9L8VObnEbPdmlS5fExcVFmjZtKv/884/cvn1bRETOnDkjs2bNknbt2omtra0oiiINGzaUvXv3WiyLUVRUlNSpU0fee+89WbNmjZw7d05SU1NN1jFuG+N/87NIzw6LvALu66+/FkVRpE6dOiYjUs8//7x8++23EhkZqa5rPOjmzJkjiqLIunXrLJLp22+/FUVRpFWrVtKgQQOxt7dXP3V9/PHHsm/fPrl586bJiMs333wjiqLIzz//bPY8CxYskCJFisiGDRtERNQiKj093eQP9N69ezJjxgxRFEXat29v0U+HWttGP/74ozg4OMjq1atF5P+2UVpaWpYXsXXr1omdnZ3Url1bbty4YfYsRgsWLBBFUeSVV16R7t27q8e3v7+/9OnTR5YtWyanT5+W+Ph49Xe+++47URRFli5dapFM48aNkxIlSsjmzZuzXZ6cnCyLFy+W2rVri8FgkK5du1p0G4mIfPLJJ6IoitjY2EhQUJC8//77snPnTrl+/XqOb0ChoaEyZcoUuXr1qtnzfPrpp1KiRAnZunVrjuv8/vvv0qJFC1EURVq0aCERERFmz5HRuHHjRFEUsbOzE19fX3n11Vflhx9+kLCwsCyFuHEbrV+/XgYOHCjnz583ex5uoyebMGGCFC9eXLZv3y4i2Y/Q79+/X7p37y6KokiNGjXkr7/+MslnbuPHjxdFUcTBwUGcnZ2ladOm6rdDV65cMVnXmGH58uXStm3bHAdfLI1FXgH3zjvviMFgkKNHj8p///0nn3/+ubRo0UIdUXBycpKuXbvKmjVr5N69e5KamiqvvvqqKIpisSJmxIgRoiiKHD58WK5duyY//vij9OvXTwIDA9U/kBYtWsiMGTPk9OnTEhMTo/6hWiLTL7/8IoqiyK+//vrEddPS0tQ3zSNHjpg9i5HWttHOnTtFURRZtGhRjuukpqaqL1xfffWVKIoif/zxh9mzGH300UeiKIocPHhQEhIS5I8//pCJEydKixYtxNXVVWxtbaVatWoybNgw2bx5s5w+fVq6du1q0WO7devWUrNmTbU4Mo6IZS6GL168KH369BFFUWTmzJkWyWLUvHlzcXR0lJ49e0rVqlXVN+rGjRvLtGnT5NixY3L37l0138OHD6Vz587i6OhokVGGjh07SuXKlSUqKkpERH3ezNsoJSVF/VsbOXKk2XNk1LZtW3FycpIRI0ZIu3btpGjRompR/M4778gvv/wi586dU4+b1NRUeeWVV8Te3j7Xp1I8DW6jJ+vevbuUK1dOLl26pD6fyKNtlLngW7hwoSiKIt26dTN7jow6duwozs7O8sUXX8iAAQPUr4+9vLykU6dOMmPGDNm/f7/JNw3du3cXg8EgiYmJFs2WExZ5BVhcXJx07NhRFEUx+eSSmJgoO3bskA8++EBq166tju75+vpKt27dxNnZWTp27GiRTPHx8dKlSxdRFMXkHMGHDx/K8ePHZfbs2fLyyy+Lt7e3+rVW69atxd7e3mKZIiIixMPDQypXriwHDx5U2zMWLSL/94a9detWsbGxkXnz5lkkjxa3UXR0tPj7+4u3t7ds3Lgxxzd/4zbau3ev2Nvby5dffmmRPImJifLGG2+Ig4ODyShCSkqKnD9/XtatWycjRoyQ2rVri729vTg5OUmdOnVEURR58cUXLZIpOTlZBg4cKC4uLrkqjhISEqRWrVpSs2ZNiYuLs0ima9euSY0aNaRGjRoiIhIWFibz5s2THj16SOnSpUVRFHFzc5NOnTrJ/PnzJSoqSnbt2iXe3t7Srl07i2T66KOPxMbGJsvIRkbGN+n09HRp1aqVVKpUySKjiiIiMTExUqdOHQkMDBSRRwX4r7/+Kh999JHUr19fihQpIg4ODvLcc8/Jxx9/LH/++ads3LhRSpQoIS+88IJFMnEbPdmUKVNEURQ5ceJEjuukpqaqr0ndunWTgIAA+e+//yyS5/r169KgQQPx8/MTEZHY2Fg5fvy4fPvtt/LSSy+Jp6enKIoiZcuWld69e8uKFStk6dKl4uXlJe3bt7dIptxgkVeAJScny9y5c6VPnz4SGxsr6enpWT7hXL9+XdasWSP9+/eX8uXLqwWfpU6cT0tLkxUrVkhISIj6NVXmTHfu3JGdO3fKhAkTpHXr1uqJ61u2bLFYpokTJ4qiKNKkSRPZtGmTyfLMQ/tLly4VW1tb9ZwzS+TR2jYSEVm0aJEoiiLlypWTuXPnyvXr13Ncd+nSpWJjY2Oxkbz09HT57bff5P3335ebN2+qbRklJibK33//LT/++KO8+eab6te5ltxGy5cvF0VRpE+fPuoIQ+av/TP+HQ4ePFg8PT0tdv7riRMnxMHBQbp06WLSHh8fL/v27ZPJkydL27ZtpVixYqIoipQqVUoaNGggiqLIb7/9ZpFMv//+uyiKIm3btpUTJ05k+cpYxHQbjRw5Utzc3OTMmTMWyfO///1PSpcuLS+//LJJ+4MHD+TMmTOyfPlyGThwoFSsWFFsbGykWLFiUrlyZW4jse42+vPPP8VgMEitWrVk+/bt2Y4WZrzgYdy4ceLk5KR+ZWtuERERUqtWLenatatJe2pqqkRHR8vevXvl888/l6ZNm4qjo6PY29urH7QstY1yg0WeDiQlJWV5A8zu/IWjR49KYGCgFC1aNL+imcgu06lTp6RatWri7u5u8ef/8ssv1U9bNWvWlLlz58q1a9dERNSh9IiICHnuuefEx8fH4nmyY+1ttGrVKvXFOzAwUD7++GM5ePCgXLlyRa5duyZJSUly4sQJqVmzpvqJNr9ld77NuXPnpG7duhbfRjdv3pQ2bdqIoijSo0ePx16gc+fOHenXr594e3tbLE9iYqJMmDBB5s+fLykpKdle5RcTEyObNm2S0aNHq1dJFytWzGKZkpKS5PXXXxdFUaRp06byyy+/5Pj1+d27d6Vfv37i5eVlsTwPHjyQuXPnyooVK9RRn8zb6O7du3L48GFZsGCBdO7cmdtIrL+NRERGjx6tfvCcOXOm/Pfff9mOosfFxUlISIh4enpaLEtSUpKsXLlSNm7cmOOFSw8fPpQLFy5IaGiovPPOO2Jvb2/xbfQkLPJ0Lj09Xb0Cas+ePeLq6ipvvvmmRZ8zu0+lmRlP7N+5c6c4OTlZNJOxcIqLi5OVK1dKq1atTC7Db9Cggbz++uvSrFkzcXJyEnd3d4t9VWuU+Qrax62TH9vI+IKenJwsO3fulDfeeMPkQp5KlSpJs2bNJCgoSBRFkZIlS8oPP/xgsTwiuTuOjC+227ZtEwcHB4sf2yKPRsnefPNNddu0aNFCVqxYIbdu3ZKHDx9KbGysiDy6CMTNzU3efvtti2fKTnYfGH788UdRFEUGDx5s8eefOHGievuLOnXqyPTp0+X48eNy8eJFiYqKkgcPHsi0adPExcVFhgwZYvE82cnuA8PPP/8sBoNBBg0aZPHn5zZ6siVLlqhXGwcGBsqwYcPkl19+kQMHDsh///0n165dk48++kicnZ3lvffes3ie3NqwYYPY29vLwIEDrZqDRV4BltP9wHK6suj9998XRVHk2LFjloz1VCZMmCCKosjRo0ct8vg5bYtdu3bJu+++K/Xq1VPPRbO1tZUOHTrItm3bclWEmTtTTvvT0tsoJydOnJBp06ZJt27dpFGjRlKxYkXx8vKS/v37y9GjR61236fszJw5U2xsbCy+jYxFZVRUlHz11VdSs2ZNtdizs7OTJk2ayIsvvigVKlRQR2ksceWhUXp6+hNvh5JxdO/jjz+2+GuA8Ti+e/eu/Pzzz9K5c2dxdXUVRVHE1tZWKleuLDVr1lSLm/bt28uFCxcslie701iyW8e4jYwX/FhyGxlfX2JjY+Wnn37SxDbKaQQv4zr5uY2Mz5Wamip79uyR9957T4KCgsTGxkZsbGykZMmSUqxYMfUiw549e5rcTcISeZ7mNU8r77ec8aKAu3r1KkqVKoXk5GSkpqbmODOAiOD333/HL7/8giVLluRvyMfYt28ftm7diilTpljsOcLDw1GiRAncvXsXRYoUQcmSJdVl9+/fR3h4OJydnVGsWDEUKVIEzs7OFsuSOdO9e/fg6OgIT0/PHNfNj22UUeZpgpKTk3H9+nUULVoUdnZ2cHBw0Nxd3k+ePIkDBw5g6NCh+fq8SUlJ2Lp1K3777Tf8/fffiI+Px71792Bvb4/evXvj7bffRunSpfM1E5D9VE/R0dHo1asXIiMjceHChXzLkpKSgsOHD2PXrl04ffo0bt++jejoaBQtWhQ9e/bEG2+8AXd393zL8zg3b97EoEGD8O+//+K///7Lt+dNTk7GgQMHsGfPHvzzzz+a2UbZHUfW2kZpaWk4c+YMjh07hv/++w/R0dGIiIiAv78/OnTogNdffx22trb5ludx7ty5g/fffx/Hjx/HqVOnrJqFRV4BJCLYvHkzfvjhB5w+fRoJCQmoUaMGatSogTp16qB27dooX748HBwc8n3albS0NBgMBqsXAUlJSVi7di2+/fZbnDx5EgaDAYGBgahQoQLq1KmDhg0bonbt2ihWrJgmMtWtWxdNmjRBrVq18m1aNeDRsZSWlgYbG5ss+yw9PR2KomRpt/Qx9bhM1nTjxg3cvHkTnp6eiIuLQ/HixU2K8zt37uDatWtqUefm5mbx/BkzJSQkoHjx4ihatGi26xqPvyJFiqBbt24WzQVkP/dqYmIiEhISULJkSSQlJcHBwcHiOZ5GSkoKdu7cCVtbW7Rp08bsj5+Wlobw8HDcuXMHIoL09HSUK1cOvr6+6jr37t1DQkICfHx88mUbZcxkVK5cOZMPwxlZehtlJ/NrTnJyMgwGA2xtbdXXCi1JS0vDyZMnISKoX7++VbOwyCuAPv30U8yYMQNOTk7w8/NDSkoKkpOTERUVBRFBzZo10a1bN/Tt29fkD9WSfwxRUVHw8/NTf05PT4eIPPH5UlNTLfLp6/3338ecOXMQEBCAwMBA2NnZ4e7duzhz5gzi4uLg5+eHF198Ef3790e9evXM/vzPkumNN94wmZPRUvstIiIC5cuXV39OT09Henq6VT8NazFTdHQ0PvnkE2zfvh1Xr16Fq6srypYti6CgIDRo0ACNGzdGjRo11FH0/Phg9bhMDRs2RNOmTVG9evV8KaKM/X3cvsr8gcH4O5baVrnJlN/Onj2LMWPGYMuWLUhOToaDgwOKFSuGgIAANGzYEMHBwWjatClcXV0BZD+Klp+ZGjdujBdeeAGNGzfOl283ciPzNrH0caQL+fW9MJnHxYsXxcnJSTp06CD//vuviDy64u+vv/6StWvXyrvvvisVK1YURVGkVq1a6u0kLDmfp3FqtXbt2smSJUuyTDmVmppqcs8nEctOh3PhwgUpUqSIdO/eXb1FSXx8vERGRsqRI0fkyy+/lMaNG6vTcxlnR7DkOWZay3T+/HlRFEUqV64sX375pURHR5ssT01NVS98MGZISEiQmJgYi02JpcVM0dHR0rBhQ/W8qO7du0vPnj2lYcOG6rlAVatWlYkTJ1rsHmbPksl49bhI7s5Ny4u4uDi5fPmySVvGfWUNWst09epVqV69uhgMBgkJCZH3339fRo0aJS+++KK4u7urV6q+8cYbcvjwYc1lynhj+Kc9Ny23YmNjZc+ePZqag12LmZ4Wi7wC5rPPPhMPDw/ZsWOHiGSdgzIuLk4OHjwow4cPF0VRxNvbW06ePGnRTMabVhr/FS9eXEJCQuT333/Pks9Y3M2fP19at25tkfuHTZ48WTw8PGTnzp0ikvUqzZSUFLlw4YLMnj1bvLy8RFGUx04vpMdM06dPN9lnGa8SzXzRScZ91qBBA4vdh0qLmT799FNxd3eX2bNnq2137tyRqKgo2bdvn4wdO1aqVKkiBoNBGjVqpM4rbMkPDFrLNHLkSHUqxR9//DHLnf1TUlKyFJfR0dFy/fr1QpNp7NixUqxYMZMZZZKSkiQ5OVkiIyNlwYIF0qRJEzEYDFKlShV12jxLHkday/TBBx+oVxlPmjTpsfcENGY4d+6chIWFWexCOS1melos8gqYvn37io+Pj8TExIhI1smQM1q1apW4u7tLw4YNLZrpxRdfFFdXV1m0aJGEhISoowmKokiFChXkgw8+yHLV4yuvvGKx6afeeecdKVq0qDpl0ONelLZt2yY+Pj5SqVIli35a01qmrl27iqOjo6xcuVI+/fRTqVKlislVoq+++qpakBpZcp9pNVOVKlXkxRdfVEdfM++3hw8fyt9//60WFUFBQY+9ibQeM1WvXj1Lcf7yyy9nueG6MWd8fLz07t1b2rVrZ7ERWK1lqlmzprzwwgvqfsju7//mzZsyd+5c8fDwEFdXV/nf//5n9hxazlSrVi0xGAzi4eGh7rOWLVvKggULsp0ZJCEhQXr16iUNGza0WEGlxUxPi0VeATNjxgxRFEXWrl2rtmX+RJrxj7V///5SvHhxi031cuPGDWnQoIGUKlVKbXvw4IH89NNP0rp1a5MX2fr168vXX38ta9asER8fH+nUqZNFMv3www+iKIrMmzfP5DL8nAqrMWPGiIuLi8VGg7SW6ebNm9K4cWOTm/QmJSXJH3/8IW+++ab4+Pio+8zLy0tGjx4tK1assOg+02KmmJgYqVy5srRt2/aJ66akpMjXX38tiqLIqFGjLJJHi5kiIiLEy8tLmjdvLvv27ZO3335bnc/T+HXfO++8Y3Icnzx5UooVKybNmzcvFJlu3bol9erVy9WH7ZSUFFm1apXF72WotUwXL14UX19fadiwoYSFhcmkSZOkWbNmUqRIEVEURVxdXaVHjx6yYcMGuX37tog8urm/h4eHtGzZstBkygsWeQXMvn37xMXFRYKCgrLcfyfjOTfG/06ZMkWcnZ0tdv+wyMhIef7559U5VTOfa3ft2jWZMWOGySdr4x+JpaZWO336tJQqVUo8PDyyTCeTcQoq4zb66quvpEiRIibz2uo5U0xMjLzwwgvStm1bSUlJyfKJ8+bNm7Js2TJ56aWXxNnZ2aRQt9Q+01om499St27dxM3NTT0nKfMUZplVr15dWrVqJffu3SsUmbZt2yaKosj777+vtt29e1dWr14t3bt3V8/tUhRFypcvL9OmTZNRo0aJoijq1396zmT8EDdw4EB1eivjh7vHjRg2adJE6tevrxYPes+0a9cuMRgMMmzYMLXt3r17EhoaKiNGjJAaNWqo+6xUqVIyfPhwGTx4sEWPIy1mygsWeQWI8Y9z4cKFYmNjI4qiyKBBg2THjh0SHx+fZf379+9Lr169LDrVS3JysuzatUsOHjxocnFFxostjM6ePStDhgwRRVHEw8PDInmM2+iPP/5Q5w1s166drFmzRp2JIKOEhATp0aOHRbeRFjOFh4fLmTNnsuyzzCOLkZGR8tlnn4mTk5PFp+fRYqbvv/9ePbcr8/k4aWlpJvni4uKkQ4cOUq1atUKT6eDBg+Ln5yfff/+9iGQ9R/jy5csyd+5cadGihUlhbsn9psVMW7ZsEUVRpGLFilnmxDZeEGLcZ3fv3pUuXbpIxYoVLZZHa5nCwsIkMDBQvv76a/X5M4qOjpaff/5ZQkJCpGzZsvmyz7SYKS9Y5BVACQkJ8t1330mJEiVEURQpUaKEdO7cWaZMmSI7duyQ2NhYOXLkiAwePFjs7e1NPtFayuNm30hJSVH/QI4ePSpOTk4Wnw4nJSVFfvnlF5NPWzVr1pQhQ4bIunXr5N9//5X169dLz549xcbGRkaPHm3RPFrNlB1jcWXcZ4cOHcqXfabVTNOmTRODwSCKokhISIiEhoaazJ9pfCPcsWOHlCpVKl+mMdJKpuTkZPnnn3/Uc4SNz53dyOK5c+fU+VotOUWXFjOJiPz000/qVIEtW7aU1atXm5xLatxnv//+u/j6+ubLcaSlTPHx8Vk+9Gb3vnL16lUZOnSoKIoi77zzjsXyaDXT02KRV4BkHtFISEiQ2bNnS6NGjcTW1lYtHAwGg9jb24uiKNK/f/9sTxA1l4y3tMjN7QmMfwiPm9jd3DZs2CAdO3bMso0URRF7e3sZMWKEyRtCYc2UE+Poa37usyfJj0zGv7c7d+7IzJkz1Q9Vtra28txzz8nIkSPlt99+k3379snMmTOlbNmyUrx4cTl16lShyvSkvBlfFyZOnGj1Y8lamR4+fCg//fST1K1bV/2bL1mypPTo0UMWLlwoy5Ytk48++kg8PT3F19f3sVdy6jlTdjLvs08//VRzx5EWMmWHN0PWgVu3buHcuXM4fPgw/vzzT6SlpaFixYqoXLky3nzzTWvHU8XHx2Pw4MHYvXs3YmJiLPpc8v/vJp/xJsIxMTHYvXs3Dhw4ADs7O/j6+iIoKAidOnWyaBYtZ3qSxMREDBkyBFu2bMGNGzesHQdA/mWSTDdYffjwIZYuXYply5bh0KFDWdavUqUKxowZg969exeaTMab0z7uht3GzOfOnUOnTp2QmpqKiIgIi+TRaqbMz/3bb7/h+++/x7Zt25CammqyvFGjRhg7dizat2+fL3m0miknFy5cQJcuXXDv3j1cvHjR2nEAaDOTEYu8AuLGjRs4ffo0zp07h4SEBDRo0ABBQUEoXrx4lheyzFPhZH5jsHQmT09P9Q7zmV9ok5KScOPGDZPZMczlae4QnzmXpbaR1jLl9S768fHxFptuTYuZniQyMhI7duzAmTNn4O3tjRIlSqBp06aoUKGCVfJoNVNGZ8+eRZcuXdCpUyd88cUX1o4DIH8zSTbTvMXFxWHPnj24cOECfH194eLigvr166NEiRIWzaLlTE9y8eJFDB48GM2bN8cnn3xi7TgAtJnJiEVeAfDHH3/g888/z/JJ3cPDA61bt0bPnj3RqVMn2NnZqcssPSXO4zK1adNGzWSt6YRy6n/GuXUtNaVaQcmUm2MkNTUViqLk29yQWsm0detWnDlzBmFhYShZsiTq1auHChUqwM/PD56eniZ/a/lFa5ky5ilRogTq16+PChUqICAgAJ6enrCxscn2g4olj3GtZcppNDEtLQ2Kolh82rKCkCmv0zZacppOLWbKs3z8apjyIDIyUsqVKyclS5aUUaNGydatW+Xbb7+VgQMHSoMGDdTbkVStWlV++ukn9RYmlrxTem4zVatWzSSTpaZWi4mJkZEjR8rWrVvlzp07JsssNQVPQcuktTxazXTnzh356KOP1PPcMl596enpKS+99JIsXrw4y20kLJlVa5lymyfzPrXklGJay5TdvUuze/3L2P6kW5joLVNu82RmySkxtZjpWbHI07hPPvlEihUrJuvWrcuyLCoqSlavXi29e/dWX9CmT59e6DIZT3gtW7asdOzYUb788ks5evRoltkijLeXEBHZvXu3/PHHH4Umk9byaDXTF198IU5OTvLyyy/L7t275ezZs7Jq1SqZOHGivPjii+qUc3Xq1JENGzZYLIeWM2ktjxYzffvtt9KjRw/ZvHlzlvsTpqWlWXQu8YKSSWt5tJrpWbHI07jnnntOWrRoITdv3hQRMbkdSUa7du2S2rVri4ODg/zwww+FKlOtWrXE3t5eGjZsqF5VXKZMGendu7csWrRI/v33X5P1ExMT5aWXXhKDwWBy2wk9Z9JaHq1mCggIkI4dO8qtW7eyLLt69aps3rxZBg0apI4WLVy40CI5tJxJa3m0mKlMmTLqjd+fe+45GTdunBw6dCjL6KpxlCwxMVFmzZolu3btKjSZtJZHq5meFYs8Dbt37560adNGgoKC1Am2M36SyDyU/Ndff0mxYsXkpZdeUpfrPVNkZKSUKVNG6tatK8nJyXLo0CEZN26c1KxZUxRFERsbG6lRo4YMHTpU1qxZI3FxcXL06FHx9va22HRYWsuktTxazfTvv/+Ki4uLfPzxx2pbdp/ek5KS5Pfff5dy5cqJh4eHRWdK0VomreXRYqYzZ86IoihSr149adu2rfqNhouLi7Rr107mzJmT5QPMn3/+KYqiSJMmTQpFJq3l0Womc2CRp3HG6XayGwnLWDAZX9A6d+4sFStWlEuXLhWKTEeOHBEPDw8JCQkREVFn2rh+/br88ccf8tZbb0lAQIAoiiJOTk7SrFkzdU7dzNOL6TWT1vJoNdP//vc/KV26tPTs2VNEHn1az/wBJuPxvXHjRoufjqC1TFrLo8VMP//8syiKIl999ZWIPJrpZ/r06VKrVi21cPDx8ZFevXrJsmXLJDY2VmbOnCmKYrnpsLSWSWt5tJrJHFjkadyVK1fUeV/fffddOXHiRJavqoxDx3FxcdK9e3fx9/cvNJnCw8PllVdekZ9++inb5cnJyXLp0iVZvny59OjRQzw8PERRLDv1jNYyaS2PVjOJPDoVwdXVVbZs2ZJlmbFQMBYQt2/flrJly0q3bt0KVSat5dFapgULFoiiKNlmOXr0qIwYMUL8/PzUwqFixYri7e0t7u7uFsmjxUxay6PVTObAIq8A2LBhgzo3Xr169WTSpEmye/duuXTpkklxtWLFCvHy8pLBgwcXqkx3797N9lycjIwv8PPnzxdFsfzUM1rLpLU8WstkLASOHDkipUqVEkVRZPjw4XLkyJEsH2CMF4YcPHhQfH19TSYw13MmreXRYqb09HQ5dOiQjBgxQs6fP58lp9GDBw9k8+bNEhISIu7u7qIoigwdOtTsebSYSWt5tJrJXFjkaVTmg+v27dvywQcfiL+/vyjKo/lqW7VqJa+//roMGjRI+vTpIw4ODhIUFCT//fdfociU3fl9xq/9cvLhhx+Koihy4sQJs+fRYiat5dFqpow5lixZIj4+PqIoj25NNGLECFm7dq38888/asYrV65Ir169xNbWttBl0loeLWa6d+9ejrfVyHz8G6foO3nypMXyaDGT1vJoNdOzYpGnYcaDKioqSn2ROn36tEydOlXatWunFleKooiHh4e0atXK4nMLai2TMU90dHSWIiE1NdXkDzMqKkpq1KghxYsXt1geLWbSWh6tZsroxo0b8umnn0pQUJAYDAZxcXGRSpUqSd26daVt27bi5+cnRYoUkbfffrvQZtJaHq1myo7x+D5//rzUrVtXKlSoYNU8ItrLpLU8ItrM9CSc8UKDUlNTceDAAfz44484d+4cFEWBk5MT6tevjx49eqB27doQEURFReHBgwe4cOECgoKC4OfnB1tbW4tMh6W1TJnzGAwGODo6ombNmujatSsaN26c5Xdu3bqF5cuXw9fXFz179jRbFq1m0loerWbKSDLML/zgwQOEh4fj2LFjOHDgAI4cOYL//vsPXl5e8PPzw4ABA/D666/D2dm5UGXSWh6tZsqNzZs346WXXsKHH36I6dOnWzsOAO1l0loeQJuZcmSt6pJy9uWXX4qbm5soiiKBgYESFBRkcgf3qlWryrx58+T69euFNtOT8lSuXFm++uoriY6ONvm9pKQki93QUmuZtJZHq5meJC0tTRITEyUlJUVu3bpl8dHygphJa3msnSm3t4qKiYmRJUuWZJmtxBK0lklreUS0melZscjTmAsXLoizs7M8//zzcuHCBbly5YqkpKRIVFSUfPvtt9KyZUv1DbFVq1Zy7NixQpfpafK0bt3a4ucDaTGT1vJoNdP9+/flv//+k/v372dZlpaWZvKin/kNwFJFp9YyaS2PFjM9Ls+TWGpqNa1l0loeEW1mMjcWeRozbtw4KVGihOzYsUNty/widerUKenbt68UKVJEKlWqJMePHy9UmZ4lj6Xm89RaJq3l0WqmqVOnSr169WTKlCmya9cuuXr1apYX78z3Wbtx44ZF5xjVWiat5dFiptzkyUwL2yg/M2ktj1YzmRuLPI155ZVXpFy5cnL58mUR+b/7zaWnp2c5+GbPni2Koki/fv0KVSat5dFiJq3l0Wom4203bG1txdPTUzp16iRz586Vo0ePZnt7l4SEBPnggw+kf//+Fhul0lomreXRYqZnyWOpESGtZdJaHq1mMjcWeRozadIkURRF/vnnnxzXyfjptGvXruLv7y8RERGFJpPW8mgxk9byaDHT2bNnxcXFRRo3bizffPONdO7cWUqUKCGKokhAQICEhITI8uXL5cyZM3Lnzh0RETl8+LC4u7tL586dC0UmreXRYiat5dFiJq3l0WomS2CRpzH79+8XRVGkVq1asnPnzmzv2ZNx5OPjjz8WJycn+fvvvwtNJq3l0WImreXRYqbffvtNbG1tZcKECSIicunSJQkNDZUJEyZIs2bNxMXFRWxtbaVGjRoyfPhw2bp1q3q/PktNY6S1TFrLo8VMWsujxUxay6PVTJbAIk9jUlNT5f3331evNPzmm28kJiYm23VjY2Olb9++4uXlVagyaS2PFjNpLY8WM61du1YURZHVq1ebtCcnJ0t4eLj88ssv8t5770nNmjXF3t5enJ2dxcnJyaJTq2ktk9byaDGT1vJoMZPW8mg1kyWwyNOo+fPnS/ny5UVRFClVqpQMHTpUfv/9dzl16pT8888/cvXqVRk9erQUKVJERo4cWSgzaS2PFjNpLY+WMqWnp8v//vc/uXDhgvpzZgkJCfLXX3/Jzz//LMHBwaIoj+ZrLiyZtJZHi5m0lkeLmbSWR6uZLIFFnkalp6fLuXPn5MMPPzSZFLlkyZJSunRpsbGxEUVR5LXXXpOoqKhCmUlrebSYSWt5tJopu4yZvfvuu6Ioivz1119WSKS9TFrLI6K9TFrLI6K9TFrLI6LNTHnFGS8KgMTERBw9ehSbNm3CtWvXcOPGDbi5uaFHjx7o2rUrihQpUugzaS2PFjNpLY9WM2WUnp4Og8GAS5cuoXPnzrhz5w4iIyOZScN5tJhJa3m0mElrebSa6WnZWjsAPZmzszNatmyJli1bIiUlBXZ2dtaOpLlMWsujxUxay6PVTBkZDAYAwNWrV5GSkoJ33nnHyom0l0lreQDtZdJaHkB7mbSWB9BmpqfFkTwioicQEVy5cgUeHh6amPMU0F4mreUBtJdJa3kA7WXSWh5Am5lyi0UeERERkQ4ZrB2AiIiIiMyPRR4RERGRDrHIIyIiItIhFnlEREREOsQij4iIiEiHWOQRERER6RCLPCIiIiIdYpFHREREpEMs8oiIiIh06P8B5UPsnsd/bz0AAAAASUVORK5CYII=", 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", 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" ] }, - "execution_count": 13, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } @@ -177,7 +183,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 15, "metadata": {}, "outputs": [ { @@ -200,19 +206,20 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Compute and print approximation ratio" + "# Compute and print approximation ratio\n", + "Below the approximation ratio is found." ] }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Approximation ratio= 0.20079743774102882\n" + "Approximation ratio= 0.19621870209504347\n" ] } ], @@ -229,14 +236,14 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Approximation ratio: 0.2932284188201008\n" + "Approximation ratio: 0.27976675240002447\n" ] } ], diff --git a/MaxCut/CVaR.ipynb b/MaxCut/CVaR.ipynb index ff9ea25..2ae729f 100644 --- a/MaxCut/CVaR.ipynb +++ b/MaxCut/CVaR.ipynb @@ -33,7 +33,8 @@ "id": "3d17ca29", "metadata": {}, "source": [ - "# Creating problem instance" + "# Creating problem instance\n", + "Data for graph generation is found at https://github.com/OpenQuantumComputing/data" ] }, { @@ -56,8 +57,6 @@ "source": [ "numV=21 #Number of vertices\n", "G = nx.read_gml(\"/Users/olaib/QuantumComputing/Data/data/sample_graphs/w_ba_n\"+str(numV)+\"_k4_0.gml\")\n", - "#Data for graph generation is found at https://github.com/OpenQuantumComputing/data\n", - "\n", "pos = nx.spring_layout(G)\n", "nx.draw_networkx(G,pos=pos)" ] @@ -108,7 +107,8 @@ "id": "9cf2d87b", "metadata": {}, "source": [ - "# Sampling cost landscape for all methods" + "# Sampling cost landscape for all methods\n", + "Evaluating the QAOA circuit with uniformly sampled angles for gamma and beta, just to see how sampling measurements from the circuits roughly looks like." ] }, { @@ -137,10 +137,8 @@ } ], "source": [ - "# Evaluating the QAOA circuit with uniformly sampled angles for gamma and beta, just to see how sampling measurements from \n", - "# the circuits roughly looks like.\n", "qaoamc.sample_cost_landscape(angles={\"gamma\": [0,np.pi/2,10], \"beta\": [0,np.pi/2,10]})\n", - "qaoamc_CVaR.sample_cost_landscape(angles={\"gamma\": [0,np.pi/2,10], \"beta\": [0,np.pi/2,10]})\n" + "qaoamc_CVaR.sample_cost_landscape(angles={\"gamma\": [0,np.pi/2,10], \"beta\": [0,np.pi/2,10]})" ] }, { @@ -148,7 +146,9 @@ "id": "4d07da3c", "metadata": {}, "source": [ - "# Plotting cost landscape, for both QAOA instances" + "# Plotting cost landscape, for both QAOA instances\n", + "\n", + "Below the cost landscape of both the standard QAOA method and the CVaR method is shown. They are seen to be relatively similar, but with some differences as is expected since the cost value is calculated differently for the two methods." ] }, { @@ -193,7 +193,7 @@ "_=pl.xlabel(r'$\\gamma$')\n", "_=pl.ylabel(r'$\\beta$')\n", "ax = pl.gca()\n", - "_=pl.title('Expectation value Cvar')\n", + "_=pl.title('Expectation value CVaR')\n", "im = ax.imshow(qaoamc_CVaR.E,interpolation='bicubic',origin='lower',extent=[0,np.pi/2,0,np.pi/2])\n", "divider = make_axes_locatable(ax)\n", "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n", @@ -243,7 +243,9 @@ "id": "1bcbed36", "metadata": {}, "source": [ - "# Plotting the approximation ratio" + "# Plotting the approximation ratio\n", + "\n", + "Below the approximation ratio is plotted for both methods. The CVaR method clearly outperforms the standard QAOA method." ] }, { diff --git a/MaxCut/ComparisonOptimizers.ipynb b/MaxCut/ComparisonOptimizers.ipynb index 6af36ef..be27117 100644 --- a/MaxCut/ComparisonOptimizers.ipynb +++ b/MaxCut/ComparisonOptimizers.ipynb @@ -36,7 +36,8 @@ "id": "0e9efef7", "metadata": {}, "source": [ - "# Creating problem instance" + "# Creating problem instance\n", + "Data for graph generation is found at https://github.com/OpenQuantumComputing/data" ] }, { @@ -59,7 +60,6 @@ "source": [ "numV=10 #Number of vertices\n", "G = nx.read_gml(\"/Users/olaib/QuantumComputing/Data//data/sample_graphs/w_ba_n\"+str(numV)+\"_k4_0.gml\")\n", - "#Data for graph generation is found at https://github.com/OpenQuantumComputing/data\n", "\n", "pos = nx.spring_layout(G)\n", "nx.draw_networkx(G,pos=pos)\n", @@ -196,7 +196,8 @@ "id": "1d22743b", "metadata": {}, "source": [ - "# Plot cost landscape for one optimizer method" + "# Plotting the cost landscape\n", + "The cost landscape is of course the same for all the optimizer methods and is plotted below." ] }, { @@ -303,7 +304,8 @@ "id": "31d6f857", "metadata": {}, "source": [ - "# Plotting the approximation ratios" + "# Plotting the approximation ratios\n", + "Below the approximation ratios are plotted for the different optimizers. From the figure we see that the different optimizers give roughly the same approximation ratio." ] }, { @@ -341,7 +343,10 @@ "id": "c68bf8dc", "metadata": {}, "source": [ - "# Plotting the values for the parameters" + "# Plotting the values for the parameters\n", + "Below we plot the values for $\\gamma$ and $\\beta$ parameters found by the different optimizers. The values found are seen to be relatively similar for all the optimizers (except for an outlier at depth = 10 for the cobyla method). Importantly, the value for $\\gamma$ is seen to be increasing with depth and the value of $\\beta$ is seen to be decreasing with depth, in accordance with the heuristic strategy used to find the values for the parameters (see Quantum Approximate Optimization Algorithm: Performance, Mechanism, and Implementation on Near-Term Devices by Zhou et al.)\n", + "\n", + "(MISLEADING?? really: new parameters)" ] }, { @@ -378,7 +383,8 @@ "id": "881d8034", "metadata": {}, "source": [ - "# Plotting the number of function evaluations used by each optimizer" + "# Plotting the number of function evaluations used by each optimizer\n", + "Below the number of function evaluations used by the different optimizers are plotted for increasing depths. " ] }, { diff --git a/MaxCut/ToyExampleQOA.ipynb b/MaxCut/ToyExampleQOA.ipynb index e872bec..b8feda2 100644 --- a/MaxCut/ToyExampleQOA.ipynb +++ b/MaxCut/ToyExampleQOA.ipynb @@ -13,13 +13,14 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 27, "id": "f4edc85e", "metadata": {}, "outputs": [], "source": [ "#run: pip install openquantumcomputing\n", "from openquantumcomputing.QAOAMaxCut import QAOAMaxCut\n", + "from openquantumcomputing.QAOAMaxCut import QAOAMaxCut\n", "from qiskit import *\n", "import numpy as np\n", "import networkx as nx\n", @@ -39,13 +40,13 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 28, "id": "eaa8c8a1", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -72,23 +73,24 @@ "id": "062c6b9b-cbe7-4cf1-abb4-50218cc06228", "metadata": {}, "source": [ - "# Creating a QAOA instance and drawing the quantum circuit" + "# Creating a QAOA instance and drawing the quantum circuit\n", + "Below the quantum circuit for the QAOA method is shown. The circuit corresponds to preparation of the $\\gamma$ and $\\beta$ dependent state: $|\\gamma, \\beta\\rangle = e^{-iH_{M}\\beta}e^{-iH_C\\gamma}|0\\rangle $, where $|0\\rangle$ is the equal superposition over all computational basis states prepared by the hadamard gates. $H_M$ and $H_C$ are the standar X-mixer and the cost hamiltonian respectively." ] }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 29, "id": "75d8e6d2", "metadata": {}, "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "
" + "
" ] }, - "execution_count": 9, + "execution_count": 29, "metadata": {}, "output_type": "execute_result" } @@ -106,12 +108,14 @@ "id": "3ae9ce75-30ca-499d-b7cf-35fc1936a9e6", "metadata": {}, "source": [ - "# Sample and plot cost landscape" + "# Sample and plot cost landscape\n", + "\n", + "The cost landscape is sampled using angles $\\gamma, \\beta$ $\\in$ $[0, \\frac{\\pi}{2}]$. In the plot a maximum and minimum of the cost function is seen. The cost landscape is periodic with period $\\frac{\\pi}{2}$ in $\\beta$." ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 30, "id": "f10939f8", "metadata": {}, "outputs": [ @@ -129,7 +133,7 @@ }, { "data": { - "image/png": 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", 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", 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" ] @@ -156,12 +160,13 @@ "id": "811ee919-4b85-47b3-9e0a-f005016b6164", "metadata": {}, "source": [ - "# Search for the best parameters at depth = 1 and plot histogram" + "# Search for the best parameters at depth = 1 and plot histogram\n", + "The values for the parameters $\\gamma$ and $\\beta$ are found by the optimizer, and the circuit is then measured 2048 times. The measurement outcomes are seen in the histogram below." ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 31, "id": "5cb4fea4", "metadata": { "scrolled": true @@ -171,17 +176,17 @@ "name": "stdout", "output_type": "stream", "text": [ - "cost(depth= 1 )= -3.9316406250000004\n" + "cost(depth= 1 )= -3.8974609374999996\n" ] }, { "data": { - "image/png": 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", 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", 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" ] }, - "execution_count": 11, + "execution_count": 31, "metadata": {}, "output_type": "execute_result" } @@ -197,12 +202,13 @@ "id": "5a2eb3ff", "metadata": {}, "source": [ - "# Compute and print approximation ratio" + "# Compute and print approximation ratio\n", + "Below the approximation ratio is found using that the maximum cut for the given problem is 4." ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 32, "id": "1dcab539", "metadata": {}, "outputs": [ @@ -215,7 +221,8 @@ } ], "source": [ - "print(\"approximation ratio=\", list(qaoamc.costval.values())[0]/-4) " + "best_cost = 4\n", + "print(\"approximation ratio=\", -list(qaoamc.costval.values())[0]/best_cost) " ] } ], diff --git a/PortfolioOptimization/CVaR_PortOpt.ipynb b/PortfolioOptimization/CVaR_PortOpt.ipynb index b6298ee..5c1d2b5 100644 --- a/PortfolioOptimization/CVaR_PortOpt.ipynb +++ b/PortfolioOptimization/CVaR_PortOpt.ipynb @@ -74,7 +74,13 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Creating QAOA instances for all methods" + "# Creating QAOA instances for all methods\n", + "Below we create a standard QAOA instance and a QAOA instance using CVaR for both the penalty method and for the XY-mixer method.\n", + "The gamma_scale parameter is used to adjust the search range for the gamma parameter. \n", + "\n", + "For information about the scale parameter see Sebastian Brandhofer et al. “Benchmarking the performance of portfolio optimization with QAOA”. In: Quantum Information Processing 22.1 (2023), page 25-26)\n", + "or Zichang He et al. Alignment between Initial State and Mixer Improves QAOA Performance for \n", + "Constrained Portfolio Optimization page 7 (2023)" ] }, { @@ -85,11 +91,6 @@ "source": [ "gamma_scale = 5000 #Adjusts the search range for the gamma parameter \n", "\n", - "#See Sebastian Brandhofer et al. “Benchmarking the performance of portfolio optimization with QAOA”. In:\n", - "#Quantum Information Processing 22.1 (2023), page 25-26)\n", - "#or Zichang He et al. #Alignment between Initial State and Mixer Improves QAOA Performance for \n", - "#Constrained Portfolio Optimization page 7 (2023)\n", - "\n", "alpha = 0.1 # value for CVaR (Conditional Value at Risk)\n", "params_penalty = {\n", " \"risk\" : 0.5*gamma_scale,\n", @@ -121,7 +122,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Sampling cost landscape for all methods" + "# Sampling cost landscape for all methods\n", + "Below the cost landscape is samples for all the methods. Note that the beta range is different for the penalty method and the XY-mixer method, due to different periods.\n" ] }, { @@ -167,10 +169,7 @@ "qaoaport_opt_penalty_CVaR.sample_cost_landscape(angles={\"gamma\": [0,np.pi/2,10], \"beta\": [0,np.pi/2,10]})\n", "\n", "qaoaport_opt_XYmixer.sample_cost_landscape(angles={\"gamma\": [0,np.pi/2,10], \"beta\": [0,2*np.pi,10]})\n", - "qaoaport_opt_XYmixer_CVaR.sample_cost_landscape(angles={\"gamma\": [0,np.pi/2,10], \"beta\": [0,2*np.pi,10]})\n", - "\n", - "#Note that the beta range is different for for the penalty method and the XY-mixer method, due to \n", - "#different periods in the mixers." + "qaoaport_opt_XYmixer_CVaR.sample_cost_landscape(angles={\"gamma\": [0,np.pi/2,10], \"beta\": [0,2*np.pi,10]})" ] }, { @@ -299,7 +298,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Plot approximation ratio" + "# Plot approximation ratio\n", + "Below the approximation ratio is plotted for all the methods." ] }, { diff --git a/PortfolioOptimization/ComparisonOptimizers_PortOpt.ipynb b/PortfolioOptimization/ComparisonOptimizers_PortOpt.ipynb index fbd54f4..41f8238 100644 --- a/PortfolioOptimization/ComparisonOptimizers_PortOpt.ipynb +++ b/PortfolioOptimization/ComparisonOptimizers_PortOpt.ipynb @@ -127,7 +127,13 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Creating QAOA instances (both penalty and XY-mixer method) for each optimizer" + "# Creating QAOA instances (both penalty and XY-mixer method) for each optimizer\n", + "Below we create a QAOA instance using the penalty method and one QAOA instance using the XY-mixer for each optimizer method.\n", + "The gamma_scale parameter is used to adjust the search range for the gamma parameter. \n", + "\n", + "For information about the scale parameter see Sebastian Brandhofer et al. “Benchmarking the performance of portfolio optimization with QAOA”. In: Quantum Information Processing 22.1 (2023), page 25-26)\n", + "or Zichang He et al. Alignment between Initial State and Mixer Improves QAOA Performance for \n", + "Constrained Portfolio Optimization page 7 (2023)" ] }, { @@ -138,12 +144,6 @@ "source": [ "gamma_scale = 5000 #Adjusts the search range for the gamma parameter \n", "\n", - "#See Sebastian Brandhofer et al. “Benchmarking the performance of portfolio optimization with QAOA”. In:\n", - "#Quantum Information Processing 22.1 (2023), page 25-26)\n", - "#or Zichang He et al. #Alignment between Initial State and Mixer Improves QAOA Performance for \n", - "#Constrained Portfolio Optimization page 7 (2023)\n", - "\n", - "\n", "params_penalty = {\n", " \"risk\" : 0.5*gamma_scale,\n", " \"budget\": budget,\n", @@ -247,7 +247,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Plot the cost landscape for the penalty method, for one optimizer" + "# Plot the cost landscape for the penalty method\n", + "The cost landscape is of course the same for all the optimizer methods and is plotted below, for the penalty method" ] }, { @@ -284,7 +285,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Plot the cost landscape for the XY-mixer method, for one optimizer" + "# Plot the cost landscape for the XY-mixer method, for one optimizer\n", + "The cost landscape is of course the same for all the optimizer methods and is plotted below, for the XY-mixer method. Note that the beta range is different for for the penalty method and the XY-mixer method, due to different periods in the mixers." ] }, { @@ -314,9 +316,7 @@ "im = ax.imshow(qaoa_XYmixer[method].E,interpolation='bicubic',origin='lower',extent=[0,np.pi/2,0,2*np.pi])\n", "divider = make_axes_locatable(ax)\n", "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n", - "_=pl.colorbar(im, cax=cax)\n", - "#Note that the beta range is different for for the penalty method and the XY-mixer method, due to \n", - "#different periods in the mixers." + "_=pl.colorbar(im, cax=cax)" ] }, { @@ -494,7 +494,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Plotting the approximation ratios using the penalty method the different optimizers" + "# Plotting the approximation ratios using the penalty method for the different optimizers\n", + "Below the approximation ratios are plotted for the different optimizers." ] }, { @@ -566,7 +567,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Plotting the approximation ratios using the XY-mixer method for the different optimizers" + "# Plotting the approximation ratios using the XY-mixer method for the different optimizers\n", + "Below the approximation ratios are plotted using the XY-mixer, for the different optimizers." ] }, { @@ -640,7 +642,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Plotting the values for the parameters for the penalty method" + "# Plotting the values for the parameters for the penalty method\n", + "Below we plot the values for $\\gamma$ and $\\beta$ parameters for the penalty method found by the different optimizers. One sees that..." ] }, { @@ -675,7 +678,9 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Plotting the values for the parameters for the XY-mixer method" + "# Plotting the values for the parameters for the XY-mixer method\n", + "\n", + "Below we plot the values for $\\gamma$ and $\\beta$ parameters for the penalty method found by the different optimizers. One sees that..." ] }, { @@ -711,7 +716,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Plotting the number of function evaluations used by each optimizer for the penalty method" + "# Plotting the number of function evaluations used by each optimizer for the penalty method\n", + "Below the number of function evaluations used by the different optimizers are plotted for increasing depths, for the penalty method." ] }, { @@ -745,7 +751,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Plotting the numver of function evaluations used by each optimizer" + "# Plotting the numver of function evaluations used by each optimizer for the XY-mixer method\n", + "Below the number of function evaluations used by the different optimizers are plotted for increasing depths, for the XY-mixer method." ] }, { diff --git a/PortfolioOptimization/ToyExample_PortOpt.ipynb b/PortfolioOptimization/ToyExample_PortOpt.ipynb index 08b52af..3ad45ae 100644 --- a/PortfolioOptimization/ToyExample_PortOpt.ipynb +++ b/PortfolioOptimization/ToyExample_PortOpt.ipynb @@ -75,7 +75,13 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Creating QAOA instances for both methods" + "# Creating QAOA instances for both methods\n", + "Below we create a QAOA instance for both the penalty method and for the XY-mixer method.\n", + "The gamma_scale parameter is used to adjust the search range for the gamma parameter. \n", + "\n", + "For information about the scale parameter see Sebastian Brandhofer et al. “Benchmarking the performance of portfolio optimization with QAOA”. In: Quantum Information Processing 22.1 (2023), page 25-26)\n", + "or Zichang He et al. Alignment between Initial State and Mixer Improves QAOA Performance for \n", + "Constrained Portfolio Optimization page 7 (2023)" ] }, { @@ -94,11 +100,6 @@ "source": [ "gamma_scale = 5000 #Adjusts the search range for the gamma parameter \n", "\n", - "#See Sebastian Brandhofer et al. “Benchmarking the performance of portfolio optimization with QAOA”. In:\n", - "#Quantum Information Processing 22.1 (2023), page 25-26)\n", - "#or Zichang He et al. #Alignment between Initial State and Mixer Improves QAOA Performance for \n", - "#Constrained Portfolio Optimization page 7 (2023)\n", - "\n", "params_penalty = {\n", " \"risk\" : 0.5*gamma_scale,\n", " \"budget\": budget,\n", @@ -130,7 +131,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Drawing quantum circuit for penalty method" + "# Drawing quantum circuit for penalty method\n", + "Below the quantum circuit for the QAOA method is shown. The circuit corresponds to preparation of the $\\gamma$ and $\\beta$ dependent state: $|\\gamma, \\beta\\rangle = e^{-iH_{M}\\beta}e^{-iH_C\\gamma}|0\\rangle $, where $|0\\rangle$ is the equal superposition over all computational basis state prepared by the hadamard gates. $H_M$ and $H_C$ are the standar X-mixer and the cost hamiltonian respectively." ] }, { @@ -158,7 +160,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Drawing quantum circuit for XY-mixer method" + "# Drawing quantum circuit for XY-mixer method\n", + "Below the quantum circuit for the QAOA method is shown. The circuit corresponds to preparation of the $\\gamma$ and $\\beta$ dependent state: $|\\gamma, \\beta\\rangle = e^{-iH_{M}\\beta}e^{-iH_C\\gamma}|0\\rangle $, where $|0\\rangle$ is the equal superposition over all feasible basis states. $H_M$ and $H_C$ are the open XY-mixer and the cost hamiltonian respectively." ] }, { @@ -186,7 +189,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Sample and plot the cost landscape for penalty method" + "# Sample and plot the cost landscape for penalty method\n", + "The cost landscape is sampled using angles $\\gamma, \\beta$ $\\in$ $[0, \\frac{\\pi}{2}]$. The cost landscape is periodic with period $\\frac{\\pi}{2}$ in $\\beta$." ] }, { @@ -234,7 +238,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Sample and plot the cost landscape for XY-mixer method" + "# Sample and plot the cost landscape for XY-mixer method\n", + "The cost landscape is sampled using angles $\\gamma \\in [0, \\frac{\\pi}{2}]$ and $\\beta \\in [0, 2\\pi]$. In the plot a maximum and minimun of the cost function is seen. The cost landscape is periodic with period $2\\pi$ in $\\beta$ (different than for the penalty mixer)" ] }, { @@ -284,7 +289,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Search for the best parameters at depth = 1 and plot histogram for both methods" + "# Search for the best parameters at depth = 1 and plot histogram for both methods\n", + "The values for the parameters $\\gamma$ and $\\beta$ are found by the optimizer, and the circuit is then measured 2048 times. The measurement outcome is seen in the histogram below. One can see that all the measruement outcomes (pink) for XY-mixer method is in the feasible subspace, while for the penalty method some measured strings are infeasible." ] }, { @@ -351,7 +357,8 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Compute and print approximation ratio" + "# Compute and print approximation ratio\n", + "Below the approximation ratio for the two methods are computed." ] }, {