{ "cells": [ { "cell_type": "markdown", "id": "aca010da", "metadata": {}, "source": [ "# Comparing Knapsack Instances" ] }, { "cell_type": "markdown", "id": "90a1131e", "metadata": {}, "source": [ "{nb-download}`Download this as a Jupyter notebook `" ] }, { "cell_type": "markdown", "id": "687d14fe", "metadata": {}, "source": [ "This examples notebook shows how xLA of a discrete optimisation problem: the knapsack problem. It utilises samples provided by the maintainers of `pyXla`. You can access all the samples [here](https://gitlab.com/aliefooghe/pyxla-wg/-/tree/556a5eadd0fe7b89d4fb3b7b3c9baaa504e1455a/data/samples>)." ] }, { "cell_type": "markdown", "id": "abdbf4af", "metadata": {}, "source": [ "For convenience of accessing the samples, we use {func}`pyxla.util.load_sample` to load the knapsack instances:" ] }, { "cell_type": "code", "execution_count": 1, "id": "fff5ec7f", "metadata": {}, "outputs": [], "source": [ "from pyxla.util import load_sample" ] }, { "cell_type": "markdown", "id": "f08a6078", "metadata": {}, "source": [ "Change the working directory to `src\\`" ] }, { "cell_type": "code", "execution_count": null, "id": "24ade7f7", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "/home/toni/Projects/pyxla-wg/docs/source/guides/examples\n" ] } ], "source": [ "%pwd" ] }, { "cell_type": "code", "execution_count": 9, "id": "e9b3231f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "/home/toni/Projects/pyxla-wg/src\n" ] } ], "source": [ "%cd ../../../../src" ] }, { "cell_type": "code", "execution_count": 10, "id": "b57d0ad5", "metadata": {}, "outputs": [], "source": [ "kp_n10_f20_id42_F1_V1 = load_sample('kp_n10_f20_id42_F1_V1', test=False)\n", "kp_n10_f80_id42_F1_V1 = load_sample('kp_n10_f80_id42_F1_V1', test=False)" ] }, { "cell_type": "markdown", "id": "d4da7e2b", "metadata": {}, "source": [ "The sample `kp_n10_f20_id42_F1_V1` has solutions of 10 dimensions hence `n10` in its name, a feasibility rate of 20% (from `f20`), has 1 objective (from `F1`) and one constraint (from `V1`).\n", "\n", "The second instance `kp_n10_f80_id42_F1_V1` differs from the the first with regard to feasibility rate. It has a feasibility rate of 80%." ] }, { "cell_type": "markdown", "id": "0a38f0f9", "metadata": {}, "source": [ "## Violation distribution\n", "\n", "Confirm the feasibility rate using violation distribution ({func}`pyxla.util.distr_v`):" ] }, { "cell_type": "code", "execution_count": 11, "id": "6a520057", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'v1_min': 0.0,\n", " 'v1_max': 4215.8,\n", " 'v1_mean': 1062.95234375,\n", " 'v1_med': 945.3,\n", " 'v1_q1': 186.05,\n", " 'v1_q3': 1704.55,\n", " 'v1_sd': 919.413741462782,\n", " 'v1_skew': 0.6162510693993406,\n", " 'v1_kurt': -0.4064585933657159,\n", " 'v1_feas_rate': 0.2001953125,\n", " 'overall_feas_rate': 0.2001953125}" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pyxla import distr_v\n", "\n", "feat, plot = distr_v(kp_n10_f20_id42_F1_V1)\n", "feat" ] }, { "cell_type": "code", "execution_count": 12, "id": "3b17df90", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'v1_min': 0.0,\n", " 'v1_max': 2325.2,\n", " 'v1_mean': 117.65234375,\n", " 'v1_med': 0.0,\n", " 'v1_q1': 0.0,\n", " 'v1_q3': 0.0,\n", " 'v1_sd': 316.0870634890906,\n", " 'v1_skew': 3.2781647150241064,\n", " 'v1_kurt': 11.545774569080045,\n", " 'v1_feas_rate': 0.7998046875,\n", " 'overall_feas_rate': 0.7998046875}" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "feat, plot = distr_v(kp_n10_f80_id42_F1_V1)\n", "feat" ] }, { "cell_type": "markdown", "id": "22a385c9", "metadata": {}, "source": [ "## Correlation\n", "\n", "What can {func}`pyxla.corr` tell us?" ] }, { "cell_type": "code", "execution_count": 16, "id": "34ff6a43", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/toni/Projects/pyxla-wg/src/pyxla/__init__.py:376: ConstantInputWarning: An input array is constant; the correlation coefficient is not defined.\n", " cor, _ = spearmanr(x, y)\n" ] }, { "data": { "text/plain": [ "{'v1_f1 (feasible)': 'undefined', 'v1_f1 (infeasible)': '0.74'}" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pyxla import corr\n", "\n", "corr_coef, plot = corr(kp_n10_f20_id42_F1_V1)\n", "corr_coef" ] }, { "cell_type": "code", "execution_count": 17, "id": "9b8d0509", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/toni/Projects/pyxla-wg/src/pyxla/__init__.py:376: ConstantInputWarning: An input array is constant; the correlation coefficient is not defined.\n", " cor, _ = spearmanr(x, y)\n" ] }, { "data": { "text/plain": [ "{'v1_f1 (feasible)': 'undefined', 'v1_f1 (infeasible)': '0.55'}" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkwAAAHyCAYAAAAZTJFbAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjEsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvc2/+5QAAAAlwSFlzAAAPYQAAD2EBqD+naQAAsNtJREFUeJzs3Xd8lFX2+PHPzCQzqZNCegiE3jsIUREFJCCiKCpWil3BxtpYFWw/WbuoCKu7lnVF0f2uuooiiGBFQRCkdwgllfQ6Seb5/XGSSYaUCRASAuf9es0L5nnuPM+dSUIO9557rskwDAOllFJKKVUnc3N3QCmllFLqVKcBk1JKKaWUBxowKaWUUkp5oAGTUkoppZQHGjAppZRSSnmgAZNSSimllAcaMCmllFJKeaABk1JKKaWUBxowKaWUUkp5oAGTavHeffddTCYT+/bta7Rr7tu3D5PJxLvvvtto1zwZlixZQt++ffHx8cFkMpGdnX1C16v8LH///XePbc8//3zOP//8E7rf8Vi5ciUmk4mVK1c2+b1PJSaTiccff7xRrnUin+njjz+OyWRqlH40Rn+UOlk0YFK12r17N7fddhvt27fHx8cHu93OOeecw9y5cykqKmru7jWahQsX8sorrzR3N47LkSNHuOqqq/D19WXevHm8//77+Pv7N3e3Gs0bb7xxyges6sTo11i1JF7N3QF16lm8eDFXXnklNpuNSZMm0bNnTxwOBz/99BMPPPAAmzdv5s0332zubjaKhQsXsmnTJu699163423btqWoqAhvb+/m6VgDrFmzhry8PJ566ilGjhzZ5PdfunTpSb3+G2+8QVhYGFOmTHE7ft5551FUVITVaj2p9z+TNNdnql9j1ZK0uBGmH374gXHjxhETE4PJZOKzzz7z+JqVK1fSv39/bDYbHTt21P/R1GPv3r1cffXVtG3bli1btjB37lxuueUWpk2bxocffsiWLVvo0aPHCd/HMIw6R6qKi4txOp0nfI8TYTKZ8PHxwWKxNGs/6pOWlgZAcHBws9zfarU2yy80s9mMj48PZnOL++frlHWqfaanWn+UghYYMBUUFNCnTx/mzZvXoPZ79+5l7NixXHDBBaxfv557772Xm2++mW+++eYk97Rleu6558jPz+ef//wn0dHRNc537NiRe+65x/W8rKyMp556ig4dOmCz2YiPj+evf/0rJSUlbq+Lj4/n4osv5ptvvmHgwIH4+vry97//3ZWr8NFHH/Hoo48SGxuLn58fubm5APz222+MHj2aoKAg/Pz8GDZsGD///LPH9/H5558zduxYYmJisNlsdOjQgaeeeory8nJXm/PPP5/Fixezf/9+TCYTJpOJ+Ph4oO4cpu+++46hQ4fi7+9PcHAwl156KVu3bnVrU5nTsWvXLqZMmUJwcDBBQUFMnTqVwsJCj30H+OSTTxgwYAC+vr6EhYVx/fXXc+jQIbe+T548GYBBgwZhMplq/C/9aH/88QdjxozBbrcTEBDAiBEj+PXXX2ttW1hYyG233UarVq2w2+1MmjSJrKwstza15TCVlJQwe/ZsOnbsiM1mIy4ujgcffLDG9wPAv//9b8466yz8/PwICQnhvPPOc41axcfHs3nzZr7//nvX16byXkfnt0yfPp2AgIBaP9trrrmGqKgot6/7119/7foaBgYGMnbsWDZv3uz2upSUFKZOnUrr1q2x2WxER0dz6aWXesyT+/PPP5kyZYprKjsqKoobb7yRI0eOuLU7lu+RkpIS7rvvPsLDwwkMDOSSSy7h4MGD9fYDIDU1FS8vL5544oka57Zv347JZOL1118H6s4Z8vR9WJd33nmH4cOHExERgc1mo3v37syfP9+tzbF8jY+lP1OmTCEgIIBDhw4xfvx4AgICCA8P5/7773f7PgD46KOPGDBgAIGBgdjtdnr16sXcuXM9vj91hjJaMMD49NNP623z4IMPGj169HA7NnHiRCMxMfEk9qzlio2NNdq3b9/g9pMnTzYA44orrjDmzZtnTJo0yQCM8ePHu7Vr27at0bFjRyMkJMR4+OGHjQULFhgrVqwwVqxYYQBG9+7djb59+xovvfSSMWfOHKOgoMBYvny5YbVajYSEBOPFF180Xn75ZaN3796G1Wo1fvvtN9e133nnHQMw9u7d6zo2fvx446qrrjKef/55Y/78+caVV15pAMb999/varN06VKjb9++RlhYmPH+++8b77//vuv7ae/evQZgvPPOO672y5YtM7y8vIzOnTsbzz33nPHEE08YYWFhRkhIiNu9Z8+ebQBGv379jMsvv9x44403jJtvvtkAjAcffNDjZ1r5fgYNGmS8/PLLxsMPP2z4+voa8fHxRlZWlqvvt956qwEYTz75pPH+++8bv/zyS53X3LRpk+Hv729ER0cbTz31lPG3v/3NaNeunWGz2Yxff/21xr179eplDB061Hj11VeNadOmGWaz2TjvvPMMp9Ppajts2DBj2LBhrufl5eXGqFGjDD8/P+Pee+81/v73vxvTp083vLy8jEsvvdStP48//rgBGGeffbbx/PPPG3PnzjWuvfZa46GHHjIMwzA+/fRTo3Xr1kbXrl1dX5ulS5cahmG4vmdWrFhhGIZh/PDDDwZgfPzxx273KCgoMPz9/Y1p06a5jv3rX/8yTCaTMXr0aOO1114znn32WSM+Pt4IDg52+xqeffbZRlBQkPHoo48a//jHP4xnnnnGuOCCC4zvv/++3q/dCy+8YAwdOtR48sknjTfffNO45557DF9fX+Oss85y++yO5Xvk+uuvNwDj2muvNV5//XXj8ssvN3r37m0AxuzZs+vtz/Dhw43u3bvXOP7EE08YFovFSElJqfUzNYyGfR9Wfy/VDRo0yJgyZYrx8ssvG6+99poxatQoAzBef/11V5tj+RofS38mT55s+Pj4GD169DBuvPFGY/78+caECRMMwHjjjTdc7ZYuXWoAxogRI4x58+YZ8+bNM6ZPn25ceeWV9X6m6sx12gdMQ4cONe655x63Y2+//bZht9vrfE1xcbGRk5PjemRnZxtpaWlu/+CdjnJycgygxi+3uqxfv94AjJtvvtnt+P33328Axnfffec61rZtWwMwlixZ4ta28h/G9u3bG4WFha7jTqfT6NSpk5GYmOj2uRcWFhrt2rUzLrzwQtex2gKm6teqdNtttxl+fn5GcXGx69jYsWONtm3b1mhbW8DUt29fIyIiwjhy5Ijr2IYNGwyz2WxMmjTJdazyF8iNN97ods3LLrvMaNWqVY17VedwOIyIiAijZ8+eRlFRkev4l19+aQDGrFmzarzvNWvW1HtNw5AA0mq1Grt373YdO3z4sBEYGGicd955Na45YMAAw+FwuI4/99xzBmB8/vnnrmNHB0zvv/++YTabjR9//NHt3gsWLDAA4+effzYMwzB27txpmM1m47LLLjPKy8vd2lb/Wvfo0cPt+pWO/mXqdDqN2NhYY8KECW7tPv74YwMwfvjhB8MwDCMvL88IDg42brnlFrd2KSkpRlBQkOt4VlaWARjPP/98jXt7Utv33YcffujWD8No+PdI5c/YnXfe6dbu2muvbVDA9Pe//90AjI0bN7od7969uzF8+HDX86M/02P5PqwtYKrtc0hMTKzxn7GGfo2PpT+V/4l78skn3a7Zr18/Y8CAAa7n99xzj2G3242ysrIa91eqNi1uSu5YpaSkEBkZ6XYsMjKS3NzcOnNo5syZQ1BQkOsRHBxMREQEeXl5TdHlZlM5DRYYGNig9l999RUAM2bMcDv+l7/8BZDk8eratWtHYmJirdeaPHkyvr6+rufr169n586dXHvttRw5coSMjAwyMjIoKChgxIgR/PDDD/XmOVW/Vl5eHhkZGQwdOpTCwkK2bdvWoPdXXXJyMuvXr2fKlCmEhoa6jvfu3ZsLL7zQ9VlUd/vtt7s9Hzp0KEeOHHF9zrX5/fffSUtL484778THx8d1fOzYsXTt2rXGZ9oQ5eXlLF26lPHjx9O+fXvX8ejoaK699lp++umnGn269dZb3RLe77jjDry8vGp9n5U++eQTunXrRteuXV1fr4yMDIYPHw7AihUrAPjss89wOp3MmjWrRo7K8SxPN5lMXHnllXz11Vfk5+e7ji9atIjY2FjOPfdcAJYtW0Z2djbXXHONW/8sFguDBw929c/X1xer1crKlStrTEN6Uv37rri4mIyMDIYMGQLAunXrarT39D1S+Xnffffdbu2OXqRQl8svvxwvLy8WLVrkOrZp0ya2bNnCxIkT63zdiX4fVv8ccnJyyMjIYNiwYezZs4ecnJwG9f1E+1PbZ7tnzx7X8+DgYAoKCli2bNkx90edmU77gOl4zJw5k5ycHNfjwIEDzd2lJmG32wEaHBju378fs9lMx44d3Y5HRUURHBzM/v373Y63a9euzmsdfW7nzp2ABFLh4eFuj3/84x+UlJTU+w/v5s2bueyyywgKCsJutxMeHs71118PcFz/YFe+ly5dutQ4161bN1cwV12bNm3cnoeEhADU+0u4vvt07dq1xmfaEOnp6RQWFtbZd6fTWeN7vFOnTm7PAwICiI6OrjeHZ+fOnWzevLnG16tz585AVZL67t27MZvNdO/e/ZjfS10mTpxIUVER//vf/wDIz8/nq6++4sorr3QFYZXfU8OHD6/Rx6VLl7r6Z7PZePbZZ/n666+JjIzkvPPO47nnniMlJcVjPzIzM7nnnnuIjIzE19eX8PBw1/d2bd93nr5HKn/GOnTo4Nautq9lbcLCwhgxYgQff/yx69iiRYvw8vLi8ssvr/N1J/p9+PPPPzNy5EhXrl94eDh//etfgcb/+autPz4+PoSHh7sdCwkJcfvZu/POO+ncuTNjxoyhdevW3HjjjSxZsuSY+6bOHKd9WYGoqChSU1PdjqWmpmK3293+F1SdzWbDZrM1RfdOKXa7nZiYGDZt2nRMr2voqEBdn3dt5ypHj55//nn69u1b62sCAgJqPZ6dnc2wYcOw2+08+eSTdOjQAR8fH9atW8dDDz3UZCvw6lphZxhGk9y/qTmdTnr16sVLL71U6/m4uLiTdu8hQ4YQHx/Pxx9/zLXXXssXX3xBUVGR2yhK5df9/fffJyoqqsY1vLyq/jm89957GTduHJ999hnffPMNjz32GHPmzOG7776jX79+dfbjqquu4pdffuGBBx6gb9++BAQE4HQ6GT16dK3fd03xPXL11VczdepU1q9fT9++ffn4448ZMWIEYWFhjXaP6nbv3s2IESPo2rUrL730EnFxcVitVr766itefvnlJvn5a8jq1oiICNavX88333zD119/zddff80777zDpEmTeO+99056H1XLc9oHTAkJCTWmEZYtW0ZCQkIz9ejUdvHFF/Pmm2+yatUqj59R27ZtcTqd7Ny5k27durmOp6amkp2dTdu2bY+7H5X/o7bb7cdcY2jlypUcOXKE//73v5x33nmu43v37q3RtqHBXuV72b59e41z27ZtIywsrFGKRla/T+VUVqXt27cf12caHh6On59fnX03m801gpmdO3dywQUXuJ7n5+eTnJzMRRddVOd9OnTowIYNGxgxYkS9n2uHDh1wOp1s2bKlzmAYjn167qqrrmLu3Lnk5uayaNEi4uPjXdNhlfcF+UXZkO+pDh068Je//IW//OUv7Ny5k759+/Liiy/y73//u9b2WVlZLF++nCeeeIJZs2a5jleObB2Pyp+x3bt3u42u1Pa1rMv48eO57bbbXNNyO3bsYObMmR7vW3mfY/0+/OKLLygpKeF///uf2wha5ZRndcfz89dYPxcgpTHGjRvHuHHjcDqd3Hnnnfz973/nscceqzFyrlSLm5LLz89n/fr1rF+/HpBfguvXrycpKQmQ6bRJkya52t9+++3s2bOHBx98kG3btvHGG2/w8ccfc9999zVH9095Dz74IP7+/tx88801RuZA/vdYuey28pfn0ZWyK0cYxo4de9z9GDBgAB06dOCFF15wy0uplJ6eXudrK/93Wf1/6Q6HgzfeeKNGW39//wZNEURHR9O3b1/ee+89t+1HNm3axNKlS+sNJI7FwIEDiYiIYMGCBW5L8b/++mu2bt16XJ+pxWJh1KhRfP75525TaqmpqSxcuJBzzz3XNR1b6c0336S0tNT1fP78+ZSVlTFmzJg673PVVVdx6NAh3nrrrRrnioqKXFOW48ePx2w28+STT9YYbaj+NfP39z+mrV4mTpxISUkJ7733HkuWLOGqq65yO5+YmIjdbueZZ55xe2+VKr+nCgsLKS4udjvXoUMHAgMDay2PUKm27zuo+fNxLCo/71dfffW4rxkcHExiYiIff/wxH330EVarlfHjx9f7mhP5Pqztc8jJyeGdd96p0bahX+OT8XNxdKkHs9lM7969Aer9OqszV4sbYfr999/d/udbmXA8efJk3n33XZKTk13BE0huzOLFi7nvvvuYO3curVu35h//+Eedycdnug4dOrBw4UImTpxIt27d3Cp9//LLL3zyySeuej99+vRh8uTJvPnmm65psNWrV/Pee+8xfvx4t6/TsTKbzfzjH/9gzJgx9OjRg6lTpxIbG8uhQ4dYsWIFdrudL774otbXnn322YSEhDB58mTuvvtuTCYT77//fq3THAMGDGDRokXMmDGDQYMGERAQwLhx42q97vPPP8+YMWNISEjgpptuoqioiNdee42goKBG29PL29ubZ599lqlTpzJs2DCuueYaUlNTmTt3LvHx8ccd6D/99NMsW7aMc889lzvvvBMvLy/+/ve/U1JSwnPPPVejvcPhYMSIEVx11VVs376dN954g3PPPZdLLrmkznvccMMNfPzxx9x+++2sWLGCc845h/LycrZt28bHH3/sqsHVsWNHHnnkEZ566imGDh3K5Zdfjs1mY82aNcTExDBnzhxAvjbz58/n6aefpmPHjkRERNQYXaiuf//+rmuXlJTUSGq22+3Mnz+fG264gf79+3P11VcTHh5OUlISixcv5pxzzuH1119nx44drvfevXt3vLy8+PTTT0lNTeXqq6+u8/52u92V71RaWkpsbCxLly6tdWSzofr27cs111zDG2+8QU5ODmeffTbLly9n165dx3SdiRMncv311/PGG2+QmJjosdjpiXwfjho1yjVyc9ttt5Gfn89bb71FREQEycnJbm0b+jU+GT8XN998M5mZmQwfPpzWrVuzf/9+XnvtNfr27es2Yq6USzOu0GsxKpfb5+TkNHdXmsyOHTuMW265xYiPjzesVqsRGBhonHPOOcZrr73mtiy/tLTUeOKJJ4x27doZ3t7eRlxcnDFz5ky3NoYhZQXGjh1b4z6Vy4c/+eSTWvvxxx9/GJdffrnRqlUrw2azGW3btjWuuuoqY/ny5a42tZUV+Pnnn40hQ4YYvr6+RkxMjPHggw8a33zzTY3aLvn5+ca1115rBAcHG4CrxEBtZQUMwzC+/fZb45xzzjF8fX0Nu91ujBs3ztiyZYtbm8pl1unp6W7Ha+tnXRYtWmT069fPsNlsRmhoqHHdddcZBw8erPV6DSkrYBiGsW7dOiMxMdEICAgw/Pz8jAsuuKBG7abKa37//ffGrbfeaoSEhBgBAQHGdddd51ZOwTBqlhUwDFn+/eyzzxo9evQwbDabERISYgwYMMB44oknavz8vP322673GBISYgwbNsxYtmyZ63xKSooxduxYIzAw0ABc96qtRk+lRx55xACMjh071vk5rFixwkhMTDSCgoIMHx8fo0OHDsaUKVOM33//3TAMw8jIyDCmTZtmdO3a1fD39zeCgoKMwYMH16jzVJuDBw8al112mREcHGwEBQUZV155pXH48OEaJQCO5XukqKjIuPvuu41WrVoZ/v7+xrhx44wDBw40qKxApdzcXMPX19cAjH//+9+1fia1faYN+T6srazA//73P6N3796Gj4+PER8fbzz77LPG22+/XeO9HevXuCH9mTx5suHv71/jPR7dz//85z/GqFGjjIiICMNqtRpt2rQxbrvtNiM5Obmuj1Gd4UyGcZpmoDai3NxcgoKCyMnJqTF1odSZaujQodhsNr799tvm7opSSp10LS6HSSl1akhOTj5pK62UUupUowGTUuqY/PLLL9x///2u5eNKKXUmaHFJ30qp5vXWW2/x9ddfc++99zJ16tTm7o5SSjUJzWFqAM1hUkoppc5sOiWnlFJKKeWBBkxKKaWUUh5owKSUUkop5YEGTEoppZRSHmjApJRSSinlgQZMSimllFIeaMCklFJKKeWBBkxKKaWUUh5owKSUUkop5YEGTEoppZRSHmjApJRSSinlgQZMSimllFIeaMCklFJKKeWBBkxKKaWUUh5owKSUUkop5YEGTEoppZRSHmjApJRSSinlgQZMSimllFIeaMCklFJKKeWBBkxKKaWUUh5owKSUUkop5YEGTEoppZRSHmjApJRSSinlgQZMSimllFIeaMCklFJKKeVBiw2Y5s2bR3x8PD4+PgwePJjVq1fX2/6VV16hS5cu+Pr6EhcXx3333UdxcXET9VYppZRSLVmLDJgWLVrEjBkzmD17NuvWraNPnz4kJiaSlpZWa/uFCxfy8MMPM3v2bLZu3co///lPFi1axF//+tcm7rlSSimlWiKTYRhGc3fiWA0ePJhBgwbx+uuvA+B0OomLi+Ouu+7i4YcfrtF++vTpbN26leXLl7uO/eUvf+G3337jp59+8ni/3NxcgoKCyMnJwW63N94bUUoppVSL0OJGmBwOB2vXrmXkyJGuY2azmZEjR7Jq1apaX3P22Wezdu1a17Tdnj17+Oqrr7joootqbV9SUkJubq7bQymllFJnLq/m7sCxysjIoLy8nMjISLfjkZGRbNu2rdbXXHvttWRkZHDuuediGAZlZWXcfvvtdU7JzZkzhyeeeKLR+66UUkqplqnFjTAdj5UrV/LMM8/wxhtvsG7dOv773/+yePFinnrqqVrbz5w5k5ycHNfjwIEDTdxjpZRSSp1KWtwIU1hYGBaLhdTUVLfjqampREVF1fqaxx57jBtuuIGbb74ZgF69elFQUMCtt97KI488gtnsHjfabDZsNtvJeQNKKaWUanFa3AiT1WplwIABbgncTqeT5cuXk5CQUOtrCgsLawRFFosFgBaY866UUkqpJtbiRpgAZsyYweTJkxk4cCBnnXUWr7zyCgUFBUydOhWASZMmERsby5w5cwAYN24cL730Ev369WPw4MHs2rWLxx57jHHjxrkCJ6WUUkqpurTIgGnixImkp6cza9YsUlJS6Nu3L0uWLHElgiclJbmNKD366KOYTCYeffRRDh06RHh4OOPGjeP//b//11xvQSmllFItSIusw9TUtA6TUkopdWZrcTlMSimllFJNTQMmpZRSSikPNGBSSimllPJAAyallFJKKQ80YFJKKaWU8kADJqWUUkopDzRgUkoppZTyQAMmpZRSSikPNGBSSimllPJAAyallFJKKQ80YFJKKaWU8kADJqWUUkopDzRgUkoppZTyQAMmpZRSSikPNGBSSimllPJAAyallFJKKQ80YFJKKaWU8kADJqWUUkopDzRgUkoppZTyQAMmpZRSSikPNGBSSimllPJAAyallFJKKQ80YFJKKaWU8kADJqWUUkopDzRgUkoppZTyQAMmpZRSSikPNGBSSimllPJAAyallFJKKQ80YFJKKaWU8qDFBkzz5s0jPj4eHx8fBg8ezOrVq+ttn52dzbRp04iOjsZms9G5c2e++uqrJuqtUkoppVoyr+buwPFYtGgRM2bMYMGCBQwePJhXXnmFxMREtm/fTkRERI32DoeDCy+8kIiICP7zn/8QGxvL/v37CQ4ObvrOK6WUUqrFMRmGYTR3J47V4MGDGTRoEK+//joATqeTuLg47rrrLh5++OEa7RcsWMDzzz/Ptm3b8Pb2Pub75ebmEhQURE5ODna7/YT7r5RSSqmWpcVNyTkcDtauXcvIkSNdx8xmMyNHjmTVqlW1vuZ///sfCQkJTJs2jcjISHr27MkzzzxDeXl5U3VbKaWUUi1Yi5uSy8jIoLy8nMjISLfjkZGRbNu2rdbX7Nmzh++++47rrruOr776il27dnHnnXdSWlrK7Nmza7QvKSmhpKTE9Tw3N7dx34RSSimlWpQWN8J0PJxOJxEREbz55psMGDCAiRMn8sgjj7BgwYJa28+ZM4egoCDXIy4urol7rJRSSqlTSYsLmMLCwrBYLKSmprodT01NJSoqqtbXREdH07lzZywWi+tYt27dSElJweFw1Gg/c+ZMcnJyXI8DBw407ptQSimlVIvS4gImq9XKgAEDWL58ueuY0+lk+fLlJCQk1Pqac845h127duF0Ol3HduzYQXR0NFartUZ7m82G3W53eyillFLqzNXiAiaAGTNm8NZbb/Hee++xdetW7rjjDgoKCpg6dSoAkyZNYubMma72d9xxB5mZmdxzzz3s2LGDxYsX88wzzzBt2rTmegtKKaWUakFaXNI3wMSJE0lPT2fWrFmkpKTQt29flixZ4koET0pKwmyuigXj4uL45ptvuO++++jduzexsbHcc889PPTQQ831FpRSSinVgrTIOkxNTeswKaWUUme2Fjklp5RSSinVlDRgUkoppZTyQAMmpZRSSikPNGBSSimllPJAAyallDqNvbxsB2Pm/nhMr9mVls/4eT/T+dGvGTP3Rw5kFhL/8GI2H845Sb2sEv/wYr7ZnFJvm6wCBwOeWsaBzELXsd/3ZZL48g90/OtX3PKv3092NwH3vjbkM1q1+wjxDy8mp6i0wfcYP+9nvt6YfMJ9VSeuRZYVUEopdfK8/O0O/KwWvvvLMPytXth9vVn9yAhC/WoW+m0Or6/YxYXdI4kL9XMde2rxVrrH2Hn3xkH4WZvmV9vqR0YQ5Ot9Uu9x1/COPPXlFhJ7RGE2m07qvVT9dIRJKaVq4Shz1nq8tLz246eTpCOFDIwPpXWIHyH+VixmExGBPnhZmv9XRpGjnI/XHOCqQe57fCYdKSChQyuig3xPehBTKSLQB5uXxXPDE3B+lwjyS8pZuSPtpN5HeaYjTEqp04LTafDmj3v4cHUSydnFhAVYuXZwG6YP7wTAtpRcnvjfFtYlZeFrtTCmZxSPju2Ov03+GfzLxxvILS6lT+sg/rVqP1YvMx/eMoShz63gtWv68f6v+1l/IJv/N74nVw5s3A25D2QWMvS5FSy++1x6xAQBkFNUSp8nlvLhLUNI6NCKVbuPcM1bv/LBzYP529fb2JmWR/doO89f2YcO4QGua72xchdv/7SXIkc5Y3tHE+pvq3G/j1Yn8daPeziQVUTrEF+mnh3PDQnxgEwzAWw8lMOry3dyz4hOXDGgtVv/GtqXpZtTmLt8JzvT8om025jQvzXTL+joCrz2ZhTw0H/+ZP3BbNqE+jF7XHePn9WK7WlYvcz0bxPi9tkBPPifP3nwP3/y/BW9uXJgHNtT8njmq62s2ZeJn9XC0E7hPHZxd0L9ZaRs5fY0Xv9uF9tT87CYTfRvE8Lscd1p28ofkKD56cVb+HpTCjlFpYQH2Lh2cBumXdDR9Vn9/YYBJPao2sd0d3oBj322iU2Hc4lv5ceTl/ZkSPtWdb6fNfsyeW7JNv48mEOov5XEHlE8OLqLa5TMYjZxQZdwvtiQzPCukR4/H3XyaMCklDotPPvNNj5afYDHLu7OoPgQ0vJK2J2WD0Cho4xJ/1xN/zYh/G/6uRzJL+Gh//7JrM838+JVfVzX+GVXBoE2L/5982D3ay/ZxqNju9EjJgibV+2jLJPfXs2afZl19i822JdlM4ad8Pt8/pvtPDK2G638rTzy6SYe/M+f/N8dZwPw5Z+HeeXbnTx1aQ8Gxofy6bpDvPvLPrepq8/+OMRLy3bw5KU96BETxObDOTz83434Wr24YkBrVj8yguv/8RvDOodzy3nt8bd6kVlQc5NyT31ZvTeTv3y8gdmX9OCs+FD2ZxYw878bAbh3ZGecToPb319LWKCVz+48h7ziUp78covH9796byY9Y4Ncz2OCfVn9yAhGvPA9913YmYv7RGP38SanqJRr3/qViYPieOzi7hSXlvPskm1M+2AdH946BJDRqpuHtqNrlJ0CRxkvL9vBbe+v5au7h2I2m3j3l718uyWVedf2JybYh+ScYg5nF9XbvzlfbWXWxd3pFBnAP37cy83v/c6PD15AiH/N6cz9RwqY/PZq/jKqC89d0YfMghJmfb6ZWZ9v5oUrq74v+8QFM3/lbo+fjTq5NGBSSrV4+SVlvPPzPp68pAdXDGgNQNtW/gyKDwXg8/WHKSlz8tLEPhX/cw/kyUt6ctN7a3h4TFfCA2UUxtfqxd8m9MZaERRVJhXfeE47RveMrrcPz07oTXFpeZ3nvSyNk3/yQGIX14jFHed3YOq7ayguLcfH28LbP+1l4sA4Jg5qA8D9iV34aVcGJdWmF1/+dgePjO3mej9xoX7sTM1n4W/7uWJAayICfbCYzfhZvYgI9AGoM2Cqry9zl+/g9vM7uL4ebVr58ZdRnZnz1TbuHdmZn3ZlsDs9n3/dNJxIu4/relPeWVPv+z+UXUSkvWrUrHK6EBME+lT1+a0f9tA9xs6Do7u62j53RW8S5nzHnvR82ocHMKaX+9f0uSv60P+pZexMy6dLVCCHs4uJD/NnUHwIJpOJ1iF+eDIpId513afH9+T7Heks+v0Atw/rUKPtGyt2c2nfWG46tx0A7cL8efySHkz8+yqeHt8TH2+Z7ou0+5CcU4TTaWgeUzNq1oDpwIEDzJ49m7fffrs5u6GUauF2peXjKHNyTsewOs93iw50SwYeEB+C04A96fmugKlrVKArWKqud+ugGseOFhXkc5y9PzZdowJdf6/s95ECB7HBvuxKy+e6wW3d2vdvE8KqPUcAGWnbf6SQh/7vT9doD0CZ08Duc+y/Durry9bkPH7fl8W8FbtcbcqdBiVlTooc5exKyyc62McVLAH0bxvi8Z7FpeXYvDx/1ltTcvl1zxG6z1pS49z+zELahwewN6OAl5btYP2BLLIKSnFW7BR2OLuILlGBXDGgNdf/8zeGv/g9wzqHM7xrBOd1Dq/3vv3bBLv+7mUx0ys2iF0VI5219XFbch6frz/kOmYY4DTgYFYhHSPk8/XxNuM0wFHuxMd8cnOmVN2aNWDKzMzkvffe04BJKXVCfLwbJxnZ11r7L6O6jld3IlNylaMG1Xf2LKsjubx64rWpYrDB6WzYlqAFJTIC9rfLe9M3LtjtnOU4Ri7q60tBSRn3XdiZ0dXyeyrVNa3ZEKH+1gYtyy8oKWdE10geHtO1xrmIihGqm95bQ2ywL3+7vDeRdhtOA0a9/AOOis++Z2wQPz54ASu3p/PzrgymLVzHuR3DmH/9gOPuv3sfy7h2cBumnB1f41xMsK/r79mFpfhZLa4RJ9U8TmrA9L///a/e83v27DmZt1dKnSHiW/nj423m510ZXH1WmxrnO0YE8J+1Byl0lLlGmdbuy8JsgvbVkpRPxIlMybWqyG9JzytxHduSnHvMfegYEcD6A9lMqJgGA/jjQJbr7+GBNiLtNpIyCxnfL/aYr38sesYGsSc9n/gw/zr7mpxdTFpuMREVo0x/JGV7vG6PGDuf/nG4Afe38/WmFFqH+Na6ui+rwMGe9AL+dnlvzmonU7e1BbyBPt6M6xPDuD4xjOkVzeS3V5Nd6CC4jhILfxzIZnDFNGVZuZNNh3KYVEtAJH0MYmdaXp2fUaUdqXn0iNGN35vbSQ2Yxo8fj8lkwjDq/t+PyaTzsUqpE+PjbeH2YR2Y8/U2vC1mBsaHcKTAwc7UPCYOasP4vrG8vGwHf/l4A/eO7MyRghJm/28zl/Vr7ZpKOlEnMiXn422hXxtJ7I0L9SUj38ELS3cc83WmntOO+z/ZQK/WQQxsG8Jn6w+zMzXfLen7vpGdefyLzQT6eDGscziOcid/Hswht6iUm4e2P+73cLS7R3TipnfXEBPsy0W9ojGbYEtyHjtS8rg/sQvndgyjXZg/f/lkAzPHdCO/pIwXvtnu8brndQ7nuSXbySksJciv7vIBkxLi+Wj1Ae7+6A9uO68DwX7e7DtSyBcbDvPshN4E+XoT4ufNh6uTiAi0cTi7iGeXbHO7xj9+3EN4oI0eMUGYTfDVn8mEB9qw+9R93/dX7Se+lT8dIwL45097ySkq5ao6VlXePqwDl73xM7M+38TEQXH4Wb3YmZrHT7syePLSnq52q/dmMrRT/VOB6uQ7qQFTdHQ0b7zxBpdeemmt59evX8+AAY0ztKmUOrPdPbwTXmYTLy3bQVpeMRGBPlw7WEabfK0W/nXTWTzxvy1c8vpPbmUFThXPX9GbB//zJxe/9hPtwwKYeVFXbvjn6mO6xrg+MSRlFvK3r7dRUlrO6J7RXDekDT/syHC1ufqsNvhaLfz9+z3M+WobvlYLXaICufGcdo36foZ1DuefUwbx6vKdLPh+N95mM+0jAri6on6S2Wzi7zcM4KH/+5Px836mdYgvsy/pweS363/PXaPs9IgN4suNh2vka1UXaffhP3eczd++3soN//wNR7mT2GBfhnWOwGyS/6y/dk1/Hv9iM6Ne+YH2FQnXV7/5q+sa/jYv/v79HvYdKcBiMtE7Loh3pgyqN/H6wdFdmP/9brYezqVtKz/emjzQVcbgaN2i7Sy6NYEXlm7nqgWrMIA2oX6M6xPjapOSU8y6pCxeubpvvZ+LOvlMRn3DPyfokksuoW/fvjz55JO1nt+wYQP9+vXD6Ty1C8Hl5uYSFBRETk4OdrsOiyqlVHP6blsqz3y1jaX3nnfarxqb8/VWcotKmXN57+buyhnvpI0w/fnnnzzwwAMUFBTU2aZjx46sWLHiZHVBKaXUaWh410j2ZhSSklvslhx9Ogrzt3HzuY03VaqO30kbYbJYLCQnJxMREUH79u1Zs2YNrVrVXe30VKYjTEoppdSZ7aRtDBQcHMzevXsB2Ldv3yk/7aaUUkopVZeTNiU3YcIEhg0bRnR0NCaTiYEDB2Kx1F5DQssLKKWUUupUdtICpjfffJPLL7+cXbt2cffdd3PLLbcQGBjo+YVKKaWUUqeYk1pWYPTo0QCsXbuWe+65RwMmpZRSSrVIJ7WswOlCk76VUkqpM9tJS/pWSimllDpdaMCklFJKKeWBBkxKKaWUUh5owKSUUkop5YEGTEoppZRSHmjApJRSSinlgQZMSimllFIetNiAad68ecTHx+Pj48PgwYNZvXp1g1730UcfYTKZGD9+/MntoFJKKaVOGy0yYFq0aBEzZsxg9uzZrFu3jj59+pCYmEhaWlq9r9u3bx/3338/Q4cObaKeKqWUUup00CIDppdeeolbbrmFqVOn0r17dxYsWICfnx9vv/12na8pLy/nuuuu44knnqB9+/ZN2FullFJKtXQtLmByOBysXbuWkSNHuo6ZzWZGjhzJqlWr6nzdk08+SUREBDfddJPHe5SUlJCbm+v2UEoppdSZq8UFTBkZGZSXlxMZGel2PDIykpSUlFpf89NPP/HPf/6Tt956q0H3mDNnDkFBQa5HXFzcCfdbKaWUUi1XiwuYjlVeXh433HADb731FmFhYQ16zcyZM8nJyXE9Dhw4cJJ7qZRSSqlTmVdzd+BYhYWFYbFYSE1NdTuemppKVFRUjfa7d+9m3759jBs3znXM6XQC4OXlxfbt2+nQoYPba2w2Gzab7ST0XimllFItUYsbYbJarQwYMIDly5e7jjmdTpYvX05CQkKN9l27dmXjxo2sX7/e9bjkkku44IILWL9+vU63KaWUUsqjFjfCBDBjxgwmT57MwIEDOeuss3jllVcoKChg6tSpAEyaNInY2FjmzJmDj48PPXv2dHt9cHAwQI3jSimllFK1aZEB08SJE0lPT2fWrFmkpKTQt29flixZ4koET0pKwmxucYNnSimllDpFmQzDMJq7E6e63NxcgoKCyMnJwW63N3d3lFJKKdXEdBhGKaWUUsoDDZiUUkoppTzQgEkppZRSygMNmJRSSimlPNCASSmllFLKAw2YlFJKKaU80IBJKaWUUsoDDZiUUkoppTzQgEkppZRSygMNmJRSSimlPNCASSmllFLKAw2YlFJKKaU80IBJKaWUUsoDDZiUUko1jj0r4fVB4CyX5yvmwPxzj+0ajkJYdD080xoeD4Ki7MbuZU2f3gEfXlv1/J2x8PXD9b/m5V6w6o2G32PNP2HhxOPrnzoleDV3B5RSSh2n0mJY+ghs+j8oc0DH4TD2JQiIqPs1n94BGxa6H+swAm74b9Xzl3tBTpJ7mxGzYeiM+vuzbBac9wCYLfL87Ltg8G0Nfz8gfdu/Cm5aCn6twCfo2F5/PMb8DQzj5N6j3w3ww/Ow/xdoe/bJvZc6KTRgUkqpxlLmAC9rzePlpWDxbvz7fTMTdiyFK98DHzt89YCMzty0tP7XdRwJl1YbHamtzxc8Av0nVz23BdR/zf2rIHMfdLuk4a+pTeZeCO8Ckd2P/bXHqymCMi8r9LoCflugAVMLpQGTUurM5XTCL6/C2nch9xD4R8DAKTJKApC6Gb5+CA6uAW9fCQYSn6kKBD69A4pzILYfrP6H/FKc/CXM7Q1XvC3TMAd/h4tfhn7XNW7fi3Ng3fsw4R/Qfpgcu/QNmDcIDqyBuEF1v9Zig8DI+q9vDfDcprpN/wcdzgdvn6pjK+bAtsVwx0/yvPLzajMEVr0O5Q7oOQFG/00CynfGwv6Kto8HQdtzYepiKCuB5U/KPYpzIKIbjHwC2g2VtoWZ8NX9MnpTlA2h7WDoXyRAqbT5M/j+WcjcI1/LqN5wzYdg9a/q1zXVRt6cZbD4fvhzEZi9YNBNEkSaTLW//6JsWPoobP9KAueYvjB6DkT1qmrTeQy8Px5Ki6QPqkXRgEkpdeZa/jisfU9+sbUZAnmpkLFDzjkK4P3LJfC4ZQUUpMP/7pJRnMvmV11j7/dgC4RJn7lf+9vHYdT/g/G9wcuHWv17gozM1CU4Dqb9Vvu5w+vBWQrtz686Ft4ZguLg4Or6A6Z9P8FzHcA3GNqdB8MfA79Q9zY/vQw/PAdBraHXlTBkGljq+ZWRtMo9QKnz3j9KIDb5Swle/jNVgooBU2Di+/K5pW2Fif+uGpX76n5I3y5BaGAUbP1SPrs7V0GrDlBWDNF94Zx75Wuxcyn891YIaQetB0BeCvzfTXDhk9D1YnDkS3BV3zTchg9lGu2W7+DwH/DFPfJZDJhSe/tPJoOXL1z3Hxmx+v1teO8SuGtt1Wcb008CsYO/VwV7qsXQgEkpdWYqyYNfF8BFz0PfioTf0PbQNkH+vvET+UV82d9lFALgohfgw4lw4RNVeULefnDJa1XTWln75c8hd0L3atNTtbnkNRltqEt903j5aWCxStBTnX845KfW/bqOI6DbOAhpK9Nfy5+U4OPmb6tyjwbfBtF9wDcEDvwGy5+QYHL0M3VfN/sABEbXfb6ST7B8jmaLBHidRsGe7yUQ8QuVz9NirRrdyj4Af3wA920Ge8X1z7kbdn0Lf/wbRs4Ge4wcqzT4Nti1HDb/typgcpbJ+w5uI20ie9TfT3usBNImE4R1ktHGVW/UHjDtXwWH1sEDu8DLJscS/5+Mrm35HAZOlWNWP7DZIeeA589JnXI0YFJKnZnSd0B5SdV0Vm3no3pVBUsAbQaD4YSMnVUBU2T32nOAYvp57oM95tj7faKqjwJF9pDHq31l5KdytOrs6VVtonpKAPPlvRKcVAYERysrqvtcdRFdqwIzkBGj1M11t0/bAkY5vDbA/Xh5SdXIjbMcfnwRNn8KuYclZ6y8pGraK6oXtBsGb5wtifEdhkP3SyUgrEvrQe7Tb3FnyTSis9y9/wCpm2TU6tl27sfLiiBrr/sxb18oLaz7vuqUpQGTUurM5F3HNNkxX8e/juN+nl97IlNyARGSA1SU7T7KVJAOAceQexTaTlajZe5xn96rrvVAGaHJTpLRltr4tWpYCQDz0aNmpvqnxhz5YLLAbd+D6ahKONaKXLKf58Kv8yUXKrK7fPZLZkrgBBLgTPpcRst2fwe/vQnLn4JblkNIvOc+e+LIh4AomPJlzXM+we7Pi7LAL+zE76manAZMSqkzU2gHyTnZ8z0MiK95PrwzrP9AcpkqR5mSfpNf2nUFDcfqRKbkYvpK8LH3exktARn5yjkArc9qeB9yDknSdEBU3W1SNsr79q/nF31Ub8kzamxRfWSEqSC97tVlB36DrhdBn4o6R04nHNkF4V2r2phMkqfWZggMewhe7im5UNVH06o79Lv784Nr5Hvm6NElkOnL/FRJDg9pW/d7ydxTkW/Vu+426pSlAZNS6szk7QPn3iu1gyxWmW4rOALpW6H/JOh1lazy+vR2OH8mFGbA1w9A76vrr3N0LE5kSs4nCPrfAN88IlNLtkD46kEJlqonfL82UKbSuo2Dknz4/m/Q7VJ5D1l75f2HtpfcJoADq6uSkq0BEigsmQm9J9Y/hdVxBKxfWPf54xXWUb4Wn94mSfTRveXrtHclRPaEzokSyGz5XAJa32CZOitIrwqYDv4uRTU7DJccr0O/y9czvEvd9805CEv+KvlHyRtkVCrx6drbtr9Apuw+uk7y21p1lLypnd9Iknlsf2m3f5WMaIW2b7zPRzUZDZiUUmeu8x6UEYMVz0BesuTTVE/QveG/UlbgrQvcywqcKhLnyMjPohtkeq5DReHK6o7shOJc+bvZIvlC6z+UZfSB0dDhAhj+aFX+kcUqy/dX/k3ygILbQsKdkFDHSEylXldK8JWxs/FG4CqNf0OKPi59BHKTZfqv9UDoPFrOn3c/ZO2Df18uX6cBU6Dr2Kr3bQuUVXG/zpdk/+A4Cb46XVj3PftcLTlIbw2Xz3jI7TBgau1tTSa47hOZ5vt8GhRkyLRo27Pdg+tN/3GvbaVaFJNhnOzypi1fbm4uQUFB5OTkYLfbm7s7Sil1alr6qAQk4+Y2d09OPWlb4b1xUmagKQplqkane8kppZRqHEPvlzpQTmdz9+TUk5cCly3QYKkF0xGmBtARJqWUUurMpiNMSimllFIeaMCklFJKKeWBBkxKKaWUUh602IBp3rx5xMfH4+Pjw+DBg1m9enWdbd966y2GDh1KSEgIISEhjBw5st72SimllFLVtciAadGiRcyYMYPZs2ezbt06+vTpQ2JiImlpabW2X7lyJddccw0rVqxg1apVxMXFMWrUKA4dOtTEPVdKKaVUS9QiV8kNHjyYQYMG8frrrwPgdDqJi4vjrrvu4uGHH/b4+vLyckJCQnj99deZNGmSx/a6Sk4ppZQ6s7W4ESaHw8HatWsZOXKk65jZbGbkyJGsWlXPJpbVFBYWUlpaSmhoaK3nS0pKyM3NdXsopZRS6szV4gKmjIwMysvLiYx03407MjKSlJSUBl3joYceIiYmxi3oqm7OnDkEBQW5HnFxcSfcb6WUUkq1XC0uYDpRf/vb3/joo4/49NNP8fHxqbXNzJkzycnJcT0OHDjQxL1USiml1KmkxW2+GxYWhsViITU11e14amoqUVFR9b72hRde4G9/+xvffvstvXv3rrOdzWbDZrM1Sn+VUkop1fK1uBEmq9XKgAEDWL58ueuY0+lk+fLlJCQk1Pm65557jqeeeoolS5YwcODApuiqUkoppU4TLW6ECWDGjBlMnjyZgQMHctZZZ/HKK69QUFDA1KlTAZg0aRKxsbHMmTMHgGeffZZZs2axcOFC4uPjXblOAQEBBAQENNv7UEoppVTL0CIDpokTJ5Kens6sWbNISUmhb9++LFmyxJUInpSUhNlcNXg2f/58HA4HV1xxhdt1Zs+ezeOPP96UXVdKKaVUC9Qi6zA1Na3DpJRSSp3ZWlwOk1JKKaVUU9OASSmllFLKAw2YlFJKKaU80IBJKaWUUsoDDZiUUkoppTzQgEkppZRSygMNmJRSSimlPNCASSmllFLKgxZZ6Vud3vr0G0BycnK9baKjo9nwx9om6pFSSqkznQZM6pSTnJzMzPdX1ttmzg3nN0VXlFJKKUADJtXEGjJ6lJWd1US9UUoppRpGAybVpBoyenT/2F5N0hellFKqoTRgUi1SVnY2EVEx9bbRPCellFKNRQMm1WiacrrN6SzXPCellFJNRgMm1SANDYae+2JDvW10uk0ppVRLpAGTahDNPVJKKXUm08KVSimllFIeaMCklFJKKeWBTsmp01ZDVtKBrqZTSinlmQZM6rQtJtmQlXSgq+mUUkp5pgGT0oRupZRSygMNmNQZT4tgKqWU8kQDJnXG0yKYSimlPNGA6TR3uuYnKaWUUk1JA6bTnOYnKaWUUidOA6YWqiEjR6CjR01pUP8+Hr8m0dHRrFlX//YxSimlTj0aMLVQDRk5Ah09aizZ2Vm0jo6ov01WFvlfP1lvm9bXvtyY3VJKKdVENGBSZzzDafDyi8/X26a0rByHw1Fvm6Iyz/fKzvIceOkolFJKnXo0YDoFaaJ207tvQkK952d8+x4z//ZSvW3+csftHu/jdDo5uPC+etvoKJRSSp16WmzANG/ePJ5//nlSUlLo06cPr732GmeddVad7T/55BMee+wx9u3bR6dOnXj22We56KKLmrDHDaeJ2o2jISNHAEYT9OVY6CiUUkqdelpkwLRo0SJmzJjBggULGDx4MK+88gqJiYls376diIiav2h++eUXrrnmGubMmcPFF1/MwoULGT9+POvWraNnz57N8A5UU/E0cgQyenQq0VEopZQ69bTIgOmll17illtuYerUqQAsWLCAxYsX8/bbb/Pwww/XaD937lxGjx7NAw88AMBTTz3FsmXLeP3111mwYEGj9ashU2laMdqzhowMORvQpqlHjgwg4opn621T7LR4bFPiNDdKfxqyag90tEoppRqixQVMDoeDtWvXMnPmTNcxs9nMyJEjWbVqVa2vWbVqFTNmzHA7lpiYyGeffdaofWvIVNqD4/p63IZD85MallPUkDZNzVOe04w7bm+UXKiGTNs1ZNUe6GiVUko1RIsLmDIyMigvLycyMtLteGRkJNu2bav1NSkpKbW2T0lJqbV9SUkJJSUlruc5OTkA5Obm1ts3wzDcXlcbp7OcGf/4pt42j1w+0ON1KvvZEI11rcZoYzgNXmrAyFB5meclZ43VpjGv1RhtGjJSVVQGR965s942IZc82aCvmWEYHr+3AwMDMZlMHq+llFKnLaOFOXTokAEYv/zyi9vxBx54wDjrrLNqfY23t7excOFCt2Pz5s0zIiIiam0/e/ZsA/m9pQ996AOMnJycxvkBVkqdUpxOp3HLLbcYISEhBmD88ccfJ/V+s2fPNvr06eN6PnnyZOPSSy+t9zXDhg0z7rnnnpPar4ZocSNMYWFhWCwWUlNT3Y6npqYSFRVV62uioqKOqf3MmTPdpvCcTieZmZm0atWqzv9l5+bmEhcXx4EDB7Db7cfylk47+lm4Ox0+j8DAwObuglLqJFiyZAnvvvsuK1eupH379oSFhZ3U+91///3cddddJ/UeJ0uLC5isVisDBgxg+fLljB8/HpCAZvny5UyfPr3W1yQkJLB8+XLuvfde17Fly5aRkFB7DozNZsNms7kdCw4OblD/7HZ7i/2l2Nj0s3Cnn4dS6lSze/duoqOjOfvss5vkfgEBAQQEBDTJvRpb4yzHaWIzZszgrbfe4r333mPr1q3ccccdFBQUuFbNTZo0yS0p/J577mHJkiW8+OKLbNu2jccff5zff/+9zgBLKaWUOt1NmTKFu+66i6SkJEwmE/Hx8TidTubMmUO7du3w9fWlT58+/Oc//3G9pry8nJtuusl1vkuXLsydO9ftuitXruSss87C39+f4OBgzjnnHPbv3w/A448/Tt++fWv05YknniA8PBy73c7tt99e784KJSUl3H///cTGxuLv78/gwYNZuXJlo3wm9WlxI0wAEydOJD09nVmzZpGSkkLfvn1ZsmSJK7E7KSkJs7kqFjz77LNZuHAhjz76KH/961/p1KkTn332mdZgUkopdcaaO3cuHTp04M0332TNmjVYLBbmzJnDv//9bxYsWECnTp344YcfuP766wkPD2fYsGE4nU5at27NJ598QqtWrfjll1+49dZbiY6O5qqrrqKsrIzx48dzyy238OGHH+JwOFi9enW9i0aWL1+Oj48PK1euZN++fUydOpVWrVrx//7f/6u1/fTp09myZQsfffQRMTExfPrpp4wePZqNGzfSqVOnk/Vx0eKSvk9VxcXFxuzZs43i4uLm7kqz08/CnX4eSqlT1csvv2y0bdvWMAz5t8rPz6/GoqqbbrrJuOaaa+q8xrRp04wJEyYYhmEYR44cMQBj5cqVtbatLek7NDTUKCgocB2bP3++ERAQYJSXlxuG4Z70vX//fsNisRiHDh1yu+6IESOMmTNnNug9H68WOcJ0KrLZbDz++OPN3Y1Tgn4W7vTzUEq1BLt27aKwsJALL7zQ7bjD4aBfv36u5/PmzePtt98mKSmJoqIiHA6Ha5otNDSUKVOmkJiYyIUXXsjIkSO56qqriI6OrvO+ffr0wc/Pz/U8ISGB/Px8Dhw4QNu2bd3abty4kfLycjp37ux2vKSkhFatWh3vW28QDZiUUkopRX5+PgCLFy8mNjbW7VzlQqiPPvqI+++/nxdffJGEhAQCAwN5/vnn+e2331xt33nnHe6++26WLFnCokWLePTRR1m2bBlDhgxplD5aLBbWrl2LxWJxO3eyk8k1YFJKKaUU3bt3x2azkZSUxLBhw2pt8/PPP3P22Wdz551VhXN3795do12/fv3o168fM2fOJCEhgYULF9YZMG3YsIGioiJ8fX0B+PXXXwkICCAuLq7W65aXl5OWlsbQoUOP520eNw2YlFJKKUVgYCD3338/9913H06nk3PPPZecnBx+/vln7HY7kydPplOnTvzrX//im2++oV27drz//vusWbOGdu3aAbB3717efPNNLrnkEmJiYti+fTs7d+5k0qRJdd7X4XBw00038eijj7Jv3z5mz57N9OnT3RZvVercuTPXXXcdkyZN4sUXX6Rfv36kp6ezfPlyevfuzdixY0/a56MBk1JKKaUA2Zw+PDycOXPmsGfPHoKDg+nfvz9//etfAbjtttv4448/mDhxIiaTiWuuuYY777yTr7/+GgA/Pz+2bdvGe++9x5EjR4iOjmbatGncdtttdd5zxIgRdOrUifPOO4+SkhKuueaaevM+33nnHZ5++mn+8pe/cOjQIcLCwhgyZAgXX3xxo34WRzMZhmGc1DsopZRSSrVwLbJwpVJKKaVUU9KASSmllFLKAw2YlFJKKaU80IBJKaWUUsoDDZiUUkoppTzQgEkppZRSygMNmJRSSimlPNCASSmllFLKAw2YGsAwDHJzc9Ean0qdOvTnUinVlDRgaoC8vDyCgoLIy8tr7q4opSroz6VSqilpwKSUUkqpJmEymep91LeHXHPTzXeVUkop1SSSk5Ndf1+0aBGzZs1i+/btrmMBAQGuvxuGQXl5OV5ep0aooiNMSimllGoSUVFRrkdQUBAmk8n1fNu2bQQGBvL1118zYMAAbDYbP/30E1OmTGH8+PFu17n33ns5//zzXc+dTidz5syhXbt2+Pr60qdPH/7zn/80at9PjbBNKdW0DAMK0sFRCN6+EBABJlNz90opdQIMwyC3uKzZ7m/38cLUCP+OPPzww7zwwgu0b9+ekJCQBr1mzpw5/Pvf/2bBggV06tSJH374geuvv57w8HCGDRt2wn0CDZiUOvMUZcP+nyFtG5Q7wGKFsM4Qfw74hTZ375RSxym3uIw+TyxttvtvmD2KIF/vE77Ok08+yYUXXtjg9iUlJTzzzDN8++23JCQkANC+fXt++ukn/v73v2vApJQ6DmWlsGsZZOyqOlbugNRN4MiHHpeBt0/z9U8pdcYbOHDgMbXftWsXhYWFNYIsh8NBv379Gq1fGjApdSbJPQhHdtd+Lms/5B6CVh2atk9KKVWNv7+/23Oz2Vyj3lppaanr7/n5+QAsXryY2NhYt3Y2m63R+qUBk1JnksJMyV+qlQGFGadVwJSUlERGRsZxvz4sLIw2bdo0Yo+UOnnsPl5smD2qWe9/MoSHh7Np0ya3Y+vXr8fbW6b/unfvjs1mIykpqdGm32qjAZNSZxKLtf7zZg/nW5CkpCS6dutGUWHhcV/D18+PbVu3atCkWgSTydQoOUSnmuHDh/P888/zr3/9i4SEBP7973+zadMm13RbYGAg999/P/fddx9Op5Nzzz2XnJwcfv75Z+x2O5MnT26UfmjApNSZxB4tq+JKi2qe87JBUGzN4y1URkYGRYWFXPfQ80S2OfZRs9Sk3Xzw7ANkZGRowKRUM0pMTOSxxx7jwQcfpLi4mBtvvJFJkyaxceNGV5unnnqK8PBw5syZw549ewgODqZ///789a9/bbR+mAzdiMmj3NxcgoKCyMnJwW63N3d3lDoxhzfAzqXgrLb82GyBjiMhtn/z9esYefq5XLduHQMGDGDGvP/SulOPY77+wZ2beWna5axdu5b+/VvO56KUOjl0hEmpM010b/ALgfQdkrPk1wpadYKQts3dM6WUOmVpwKTUmcZkguA28lBKKdUgujWKUkoppZQHGjAppZRSSnmgAZNSSimllAcaMCmllFJKeaABk1JKKaWUBxowKaWUUkp5oAGTUkoppZQHGjAppZRS6pT37rvvEhwc3Gz314BJKaWUUk1mypQpmEymGo9du3Y1d9fqpZW+lVJKKdWkRo8ezTvvvON2LDw8vJl60zA6wqSUUkqpJmWz2YiKinJ7zJ07l169euHv709cXBx33nkn+fn5dV5jw4YNXHDBBQQGBmK32xkwYAC///676/xPP/3E0KFD8fX1JS4ujrvvvpuCgoLj7rOOMCl1JnIUQH4aOMvBPwx8g5u7R0qpE2UYUJzTfPf3CZK9Ko+T2Wzm1VdfpV27duzZs4c777yTBx98kDfeeKPW9tdddx39+vVj/vz5WCwW1q9fj7e3NwC7d+9m9OjRPP3007z99tukp6czffp0pk+fXmNkq6E0YFLqTJO2Ffb+AIWZ8tzqD3FnQewAsHg3b9+UUsevOAeebdt8939of4P/8/Xll18SEBDgej5mzBg++eQT1/P4+Hiefvppbr/99joDpqSkJB544AG6du0KQKdOnVzn5syZw3XXXce9997rOvfqq68ybNgw5s+fj4+PzzG+OQ2YlDqzZO2DbYuhvLTqmKMAdq8Eiw1i+zVXz5RSZ5ALLriA+fPnu577+/vz7bffMmfOHLZt20Zubi5lZWUUFxdTWFiIn59fjWvMmDGDm2++mffff5+RI0dy5ZVX0qFDB0Cm6/78808++OADV3vDMHA6nezdu5du3bodc5+bNYdpzpw5DBo0iMDAQCIiIhg/fjzbt293a1NcXMy0adNo1aoVAQEBTJgwgdTUVLc2SUlJjB07Fj8/PyIiInjggQcoKytza7Ny5Ur69++PzWajY8eOvPvuuyf77Sl16knd7B4suRhw6HcoLWryLimlzjz+/v507NjR9SgpKeHiiy+md+/e/N///R9r165l3rx5ADgcjlqv8fjjj7N582bGjh3Ld999R/fu3fn0008ByM/P57bbbmP9+vWux4YNG9i5c6crqDpWzTrC9P333zNt2jQGDRpEWVkZf/3rXxk1ahRbtmzB398fgPvuu4/FixfzySefEBQUxPTp07n88sv5+eefASgvL2fs2LFERUXxyy+/kJyczKRJk/D29uaZZ54BYO/evYwdO5bbb7+dDz74gOXLl3PzzTcTHR1NYmJis71/pZpUeRlkH6z7fFE2lOSCt2+TdUkp1Yh8gmRarDnvf5zWrl2L0+nkxRdfxGyWsZyPP/7Y4+s6d+5M586due+++7jmmmt45513uOyyy+jfvz9btmyhY8eOx92nozVrwLRkyRK35++++y4RERGsXbuW8847j5ycHP75z3+ycOFChg8fDsA777xDt27d+PXXXxkyZAhLly5ly5YtfPvtt0RGRtK3b1+eeuopHnroIR5//HGsVisLFiygXbt2vPjiiwB069aNn376iZdfflkDJnXmMFvA6gt1DSJZvMFsbdIuKaUakcnUYhdwdOzYkdLSUl577TXGjRvHzz//zIIFC+psX1RUxAMPPMAVV1xBu3btOHjwIGvWrGHChAkAPPTQQwwZMoTp06dz88034+/vz5YtW1i2bBmvv/76cfXxlCorkJMj2f2hoaGARJylpaWMHDnS1aZr1660adOGVatWAbBq1Sp69epFZGSkq01iYiK5ubls3rzZ1ab6NSrbVF7jaCUlJeTm5ro9lGrxTCaI6l33+fAu4BfSdP05RvpzqdTpq0+fPrz00ks8++yz9OzZkw8++IA5c+bU2d5isXDkyBEmTZpE586dueqqqxgzZgxPPPEEAL179+b7779nx44dDB06lH79+jFr1ixiYmKOu4+nTNK30+nk3nvv5ZxzzqFnz54ApKSkYLVaa5RCj4yMJCUlxdWmerBUeb7yXH1tcnNzKSoqwtfXfQpizpw5rg9dqdNKWGfIPgCpm9yPB0ZB60HN06cG0p9LpU4PdeUQ33fffdx3331ux2644QbX36dMmcKUKVMAsFqtfPjhh/XeZ9CgQSxduvSE+lrdKTPCNG3aNDZt2sRHH33U3F1h5syZ5OTkuB4HDhxo7i4p1TisftDpQuh5OcT0hcie0PUi6DlB6jGdwvTnUinVnE6JEabp06fz5Zdf8sMPP9C6dWvX8aioKBwOB9nZ2W6jTKmpqURFRbnarF692u16lavoqrc5emVdamoqdru9xugSSAVSm83WKO9NqVOOt49Mv4V3ae6eHBP9uVRKNadmHWEyDIPp06fz6aef8t1339GuXTu38wMGDMDb25vly5e7jm3fvp2kpCQSEhIASEhIYOPGjaSlpbnaLFu2DLvdTvfu3V1tql+jsk3lNZRSSiml6tOsI0zTpk1j4cKFfP755wQGBrpyjoKCgvD19SUoKIibbrqJGTNmEBoait1u56677iIhIYEhQ4YAMGrUKLp3784NN9zAc889R0pKCo8++ijTpk1z/W/09ttv5/XXX+fBBx/kxhtv5LvvvuPjjz9m8eLFzfbelVJKKdVyNOsI0/z588nJyeH8888nOjra9Vi0aJGrzcsvv8zFF1/MhAkTOO+884iKiuK///2v67zFYuHLL7/EYrGQkJDA9ddfz6RJk3jyySddbdq1a8fixYtZtmwZffr04cUXX+Qf//iHlhRQSimlVIM06wiTYRge2/j4+DBv3jxXxc/atG3blq+++qre65x//vn88ccfx9xHpRpVeRnkHYa8FFnmHxAF9hipkdRYsg9A+jbIOQw+gRDRHULbg5fWWFJKqeN1SiR9K3VGKC2CPSsheSMY5XLMbIGY/hA/FLwbIaE5fRtsXQzlFVsJ5AHp2yFuMER0g9xDUFoIvqEQ3AZ87Cd+T6WUOgNowKRUU0nZBIfXux9zlsPBNbKkP6bviV2/JF820S2vZd+lbV/KyFZ2taX4/mHQdayMcCmllKrXKVOHSanTWmkxJG+o+/zhP6Cstk1xj0FeChRl1TxekgcZOyH3MFiqTcsVZMCub6Gs9o0tlVJKVdGASammUFYEjvy6z5fkQ3nxid3DWVb78eJsmQIsc4DpqB/53MPyUEopVS8NmJRqCl6+YAus+7yPHbx8TuwefqFgqSUPqqxE/gyMrPp7JcOQYE4ppVS9NGBSqil4+0BMv7rPx/QHi/eJ3SMgovY8KG9fCG5bMbp01MpUkwWsASd2X6WUOgNo0rdSTSWih+QYHVpXNX1m8ZZNbxtrm5K2CeBlk3s48iVnqe25ci5rb832rdpr0rdSSjWABkxKNRVvG7S/AMK7QUHF3oYBURAYJTWZGuUevhB/jmyq68iTgMk/HDL3QnEWFGVLO5MZQuKhwwWNWwNKKaVOUxowKdWUzGYIipHHyeQbJI9KrdpDwPWS4F1WAjY72GPB6wSnAZVS6gyhAZNSZwpbYONN/Sml1BlGk76VUkoppTzQgEkppZRSygOdklOquZQWQ85BKMmVOk1Bsbq3m1JKnaI0YFKqOeSlwo4l7lW2fYOhU6IkaNelKAsKMiV5PCASrH4nvatKKaU0YFKq6ZU5YNeymluSFGXD9sXQ91rwa1XzNYfXwYHV4CiQY36toN1QiOjWJN1WSqkzmeYwKdXUcg/JVFxtSvIha3/N46mbYPeKqmAJoPAIbPuq9vZKKaUalQZMSjU1R4Hs4VaX4pyj2hfCobW1ty13SDCllFLqpNKASamm5u0H1FPZ++hNektyJXepLjkHwVneKF1TSilVOw2YlGpq9hgIjKz9XOVGudVZrPKoi9VPtzdRSqmTTAMmpZqatw90TgT/sKOO+0GXMRAQ7n7cFiiJ3Ta7lB2wx4AtoOp8VJ+a9zAMHXVSSqlGpKvklGpKRVmQnSQr4loPkqCm3AFWfwhqDX6h7u0dhbD3e9j/K6RvBUc+WLyh7TngGyKvCetUrX0BpO+A1I1S5ym4DUT2gOC4Jn2bSil1utGASammkrUftn0JxblVx7x9ZbSprtIAKX/C4fUyKhXRHYqzJdhK3w79boA2Q+QcSHC1cxmkba16feERSN0CXceAySz5TiazBFJBceBVz1SfUkopFw2YlGoKJQWw4xv3YAmgtEiO+4fXnKJzFELyhqrnXjYpVhlQkf+UvR/iz606n7XXPVhy3TsX1r0Poe2gIEOOJf0GUT2hw3AtfqmUUg2gOUxKNYXcQzLaU5vSIpmmO1pZsQRNdSnJh/KSqucZu2pvl58iI1Xm6qNJBqRshPRtHruulFJKAyalmkZpUf3nqxekrOTtV7PEQHU+QeDlU/W8vLRmm3IH5KeB4QRqqf2UvKH21ymllHKjAZNSTcEWSL21l3yDax7z9oGYvnW8wCTnqpcTCI2v2cxZJg//iIqg6SiOQg2YlFKqAZo1YPrhhx8YN24cMTExmEwmPvvsM7fzU6ZMwWQyuT1Gjx7t1iYzM5PrrrsOu91OcHAwN910E/n5+W5t/vzzT4YOHYqPjw9xcXE899xzJ/utKeXOHgtBsbWf8w2GoDa1n4vsKavpzNXSDS1WiD8Hwru4tw3tAH5H5UFZrJJYHje49uKX/uHuo1RKKaVq1axJ3wUFBfTp04cbb7yRyy+/vNY2o0eP5p133nE9t9lsbuevu+46kpOTWbZsGaWlpUydOpVbb72VhQsXApCbm8uoUaMYOXIkCxYsYOPGjdx4440EBwdz6623nrw3p1R13jZZDbdzqaxUq9waxT8cOo8C36A6XucjidkR3aAgDTBJ0ndgFJiOGrHyC4Hul8DB1ZLP5CyT67dJkFV15Q739iYzxPQBsw40K6WUJ80aMI0ZM4YxY8bU28ZmsxEVFVXrua1bt7JkyRLWrFnDwIEDAXjttde46KKLeOGFF4iJieGDDz7A4XDw9ttvY7Va6dGjB+vXr+ell17SgEk1rYAI6HUV5B6UhG1vPylC6WmVmtkso1N1jVBVFxgJXS+Gwkxwlkqek9lLRpkOrIGyilwqq7+ssGvVqf7rKaWUAlpAWYGVK1cSERFBSEgIw4cP5+mnn6ZVq1YArFq1iuDgYFewBDBy5EjMZjO//fYbl112GatWreK8887Daq1aIZSYmMizzz5LVlYWISEhNe5ZUlJCSUnV6qPc3NwabZQ6Ll5WCG1/cu9hMoF/K/djlVN4BemAWQKr2vKmTmH6c6mUak6n9Fj86NGj+de//sXy5ct59tln+f777xkzZgzl5bLlQ0pKChEREW6v8fLyIjQ0lJSUFFebyEj3fbsqn1e2OdqcOXMICgpyPeLitEqyOg34h8nUXkSXFhcsgf5cKqWa1ykdMF199dVccskl9OrVi/Hjx/Pll1+yZs0aVq5ceVLvO3PmTHJyclyPAwcOnNT7KaU8059LpVRzOuWn5Kpr3749YWFh7Nq1ixEjRhAVFUVaWppbm7KyMjIzM115T1FRUaSmprq1qXxeV26UzWarkVyuVIM4nVCUKX/6hoCXd3P3SBgG5KdKAc0yh0zZBcVJblMLoT+XSqnm1KICpoMHD3LkyBGio6MBSEhIIDs7m7Vr1zJgwAAAvvvuO5xOJ4MHD3a1eeSRRygtLcXbW355LVu2jC5dutSav6TUccs5BAd+kz3jjHJZzRZ3FoR1lrwip7NqRZorgDksydl+YWBvLavpalNeKvvImSwSiB29Qg6kbICjSJLIq0+5GQYcWgd7VrqvlAtqDV0uqpnvpJRSqoZmDZjy8/PZtatqO4e9e/eyfv16QkNDCQ0N5YknnmDChAlERUWxe/duHnzwQTp27EhiYiIA3bp1Y/To0dxyyy0sWLCA0tJSpk+fztVXX01MTAwA1157LU888QQ33XQTDz30EJs2bWLu3Lm8/PLLzfKe1WkqLwU2/1dWv1XKOSjHOwyH4hw4skv2g4vuK5W9k1ZVC2BM0Ko9dBpVM78oYyccWC0jQxarBERhHSG8K1i8ZX+6g2sgZZOsgvP2g6he0HqgFMzM2g+7l4Oz3P26OQdh34/Q/dLaAzCllFIuzRow/f7771xwwQWu5zNmzABg8uTJzJ8/nz///JP33nuP7OxsYmJiGDVqFE899ZTbsPwHH3zA9OnTGTFiBGazmQkTJvDqq6+6zgcFBbF06VKmTZvGgAEDCAsLY9asWVpSQDWu1C3uwVKlwgzY8KEs3y/KlGOGIaM9oe0kAJKDcGQ32FZBl2qlNtJ3wJYvIDBC9oM7sktGr7z9octo6DIWkn6ROkuVHAWQ9KtsutvlIjiys2awVCljlwR19ujG+BSUUuq01awB0/nnn49h1LK/VYVvvvnG4zVCQ0NdRSrr0rt3b3788cdj7p9SDVJeJkHJ0Yxy2VS3rAQie8gxbz/JI3LkQ1G21GaqLm2rVPb2D5NpuAO/yYjT/lWQva+qXWmBnCsrkVGm2qRtg9gBtVf4ruQslU1+lVJK1euUXiWnVItgMrtvXVLJUSjTZWaL7HtrMkmidUGGTIcdXicjRiV5Va8pK6naqLcwS/KcTCb3YKlS4REZgTLV8f8ewwn5GVLtuy6VU3xKKaXqpQGTUifKbK4aQXJjyKNVJygthIBo2P8jlBfLCFNJPuQlQ9oWKMmRl3j5VAUwZjNglim22pjMEkxVVu+utW8muX9do1AR3WRjXqWUUvXSgEmpxhDetWYekJcPBEbLubJiyWdK3y6r5yo3xQVJ/M45DBgQ1QP8Klat+YZCSBtJFMcEFpsESZX8w+UadZUG8LLJ/YNbQ+fRMh1YyWSWzXqjemnCt1JKNUCLKiug1CnLN1hWm6Vvh9TNktcU1lH2ctvzPdjsspINIG079BgPh9dX5Q+V5ENIPMQNqbqm2SxlCZL/lA10C49UjT5lH5BSBAHhENkT8tNkCq6SySx7xVXmSEX1BHss5B2WAM0WJIGSt07HKaVUQ2jApFRj8Q2BNkMkadtwyjSYs1xGhjJ2SBuTV8X0mAm6XSI5S0a5BFQdLwQfu/s1neWQshky90DKRnCWyYa93cdL4NN5lOxN5xssgVphhkyxRXSvuWedX4g8QOo/OQpP8geilFKnDw2YlGpsZgtgqfp7dC8Iq8gjOrC6YpTIJPlLlfzCwC/U/TolebDjG8Aprw+IlFynshLI3A2Db5PSBCDnwzo1rH/56RosKaXUMdKASamm4O0j02vZ+2vWa7JYIW5gRaBVTc4h95IAPnb3Eaji3GPvR2GmFNFUSil1TDRgUqqpBEZBzwlwaC0c2SMFLINiIXZg1UhRdfWtfoO6V8/VpThXAiallFLHTAMmpU6W8lKZVrN4yxYlIPlHgdEyymMYkhRurmOxqi0QMCHlCWrhG9TwvjgKoCD9WHqvlFKqGg2Y1JmnpACy9krRSGe5jO6Edji2AKQ+Tiekb5ORpIIjYPGSekcx/SRPyWSquV9c9deCBFH21hAUI1NzR/NrJUUwG6K0WLY/qaeqvlJKqfppwKTOLMW5sP1rWXVWKWOHJFR3vxT8W9X+utxkyD0oydJ+rSC4Tc0VbZVSNsKOJVXL/MuQZO/sg7KK7sgOqeIdGAlhXSCkrewzl7YN0rfKgFJ4V4joCp0SYefSiqCpIuAJiITOiXXfv7ryUikloMGSUkqdEA2Y1Jklfat7sFQpP1W2Kul0Yc1zh9fDru+gvKTqmH8YdL24ZrHKkjzZDLd6TSQADDj4m5QCKDoiAUzuIamx1PFCqdFUmFHVvCAd0jZLwcnYfpL/VF4qwVJ4V7D5e36vTqeUD3Ae3Zej+ltXkKiUUspFK32rM0d5KaRsqvt82raaK89yDsGub92DJZD94HZ9C2WlRx0/IpvqHq0kX4pNZu0F72rBjtkLdi+HnAM1X5O1Hzb/F3Z+Cwd/h+QNsPs7SN1YfxAEEpDlJct7rsvB3+HNYbBjaf3XUkoppQGTOoM4y6WGUZ3ny2oGGFn76g46cg/LdFd1de0yUpIrBSpNR5UOsAVKAOTIcz9ulMu9D/9RlTBe2cc9P0B2Ut3vA2SEqrSeVXZJq+CLu6E4GxZdD3tW1n89pZQ6w2nApM4cXjbZHqQu/q2k4nZ19dUsMpw1gxL/CJmuO5qzXP4MaXtUOQCTnDt6xKgkX+7tLKdGFGaU1z6tWKkoq/4aTXt/gC/vqxo1M5mr+qeUUqpWGjCpM4fJBNG9K7YmOfqcWeoheR11zr+VjPD4hdbcd83s5T76A1LFu+05cs7tuD9E9qh4Ui0Bu7QIovtJ8ndglGy4WxlEYUBw29pHikryah6DivIBR2o/BzKN+PX94KwYNfP2g+v/Ax1H1P0apZRSmvStzjCh7aDrWNj3CxSkybHKPeDCu7q3LS+TfeAKMyQICYiE4DgZwSktglYdJMipriQPfEJkFVvGTlnO72WFdkPlddVzqMxestKtIAP2fi9BTHAbiO4jU28+IRDTXzbdNZndE8krN9Wtrswh96tNaRH8+TGseg1XwGb1hyvelU16lVJK1UsDJnXmiegGIe0kYDKcso+bLcC9jdMJSb/C/p9k1Cb3kOzfdsgmAVdwW2g/rGo7kzIHJK+X2ktFOTKKFdkTelwq03RmiwRGmCB9h0yHBbWW9rYAmarLOQhHdkv5gd5XQngX2PejjALF9JWNex05UFoCrY7aWLekEFL/lHwrnyD30bDibPh5Lmz9X9Uxiw0S7pIRN6WUUh5pwKTOTN4+MppTl9xDFeUBDJkmiw6Q0SNnGeSnQI/x7pvlHlwjuUGVyh1SpiBrL7RJkBVujgIJkjpdCH4hktDtV7Gk39cmgU5pEZQWQMqf4B8lwVxxFvz6Bnj5QKtOMnpVPSBK3wHbFlfUW0IKcEb3hbDOMjK16nX3YMnLB7pcLNukZO6rOUqmlFKqBg2YlKpNzkH3RGiLtSq4AVmFVpncXZgpS/SPZpRXHS/OkdGs4mxI2yJBz9EVvE1mCWaO7JLpuag+UJAqtZowSRBmNkNqxbRelzGyUm/9h+CotqFvUY4Eb5UlCzZ/WnXO20+CpcpK4+lboe2Q4/iAlFLqzNJoSd9bt26lffv2nhsq1RLUV78IqpKmQQKm0sKabYpzpRZS7mHw9q04aAKfYKmxVFuJg9ICGckye0kCevJ6yYGy+sk1irKkXdqWilGwVe7Bkqt/ThmVWv1m1TFrAHS9xH1blpJ6VgEqpZRyabSAyeFwsH///sa6nFLNKzCy7nNmL/CtNtpkttTeriQPMCSfyXBKknVAhIzqbPlczmUfcA+cDEOOt+oEhTk1K4ZXjnoZTplOS99e876GAYfWSCJ5JZsduo6ruZ1KQD3vUymllEuDp+RmzJhR7/n0dN0JXZ1GguIkx6m2ApFRPSGw2pYogVHgHy7TdNUZBmCSvKXCLPC2yfSYUTnV10dKHWTugladJbDy9gV7jJQZKK1l5Mg3RP50lkkxzKNLJBgGHFhVNW0HEBAFHUZIwFad2SL3UUop5VGDA6a5c+fSt29f7PbaN/zMz6/lH3elWiqrH3S5SKa80rdDWbEEHLGDICAMDv0uwU5AlAQ47YfBli/ct1CxBUCbs6G0WAKd3curgiWTlwRYrQfKSFSZA3wCJVHbFgi7V8jqOi8fuTeAl68kmhtOyWcKCAdnZ9j/q5w3DFnVl761qg+tOsLYlyX5PH2blEoACczizqo/8V0ppZRLgwOmjh07ct9993H99dfXen79+vUMGDCg0TqmVLPzC4GuF0lgUVYCZisc/h32/VA1VWb2gtj+ED8Uel8lwUp2kuQLdbmoYoPdDTIVV5RZdW17tARleSlyjTaDKwpeWmTazWKFlI3QYbgUm/QJkpEqLx+pAh43UFbQeflIGYLsJEn0PrKj6h6tOsH4BZKzZI+GsE6yz53ZS0bEbIHUvZeLUkqp6hqcwzRw4EDWrl1b53mTyYRhGHWer80PP/zAuHHjiImJwWQy8dlnn7mdNwyDWbNmER0dja+vLyNHjmTnzp1ubTIzM7nuuuuw2+0EBwdz00031Rjt+vPPPxk6dCg+Pj7ExcXx3HPPHVM/1RnOPwyCYiF7Lxxe755X5CyDA6shbSsEV5QMGHQT9JkIMX2kKGT8ORLYmCyySi20gwQ/lcGKs0zKCVTmQpktUh+p5wToeQWMfBy6XQJBbSTnqOMIiOwlba0Bco/UTe7BUkR3uPytagneJhmxCusMoe0lWDJbak7TKaWUqlWDR5hefPFFSkrq3ri0T58+OD3toH6UgoIC+vTpw4033sjll19e4/xzzz3Hq6++ynvvvUe7du147LHHSExMZMuWLfj4+ABw3XXXkZyczLJlyygtLWXq1KnceuutLFy4EIDc3FxGjRrFyJEjWbBgARs3buTGG28kODiYW2+99Zj6q85gpUUSLNUleT1Edq+ZU+Rjh3bnQV4q5B6sGKmqZWuW4LY1j3n7gHcU2KOkcGVu8lH70CFTc989CQd+rToWOwDGviIjWHXx9pE8rLoS1pVSSrlpcMAUFSXF7W6++Wauv/56zj///BO++ZgxYxgzZkyt5wzD4JVXXuHRRx/l0ksvBeBf//oXkZGRfPbZZ1x99dVs3bqVJUuWsGbNGgYOHAjAa6+9xkUXXcQLL7xATEwMH3zwAQ6Hg7fffhur1UqPHj1Yv349L730kgZMquFKi8FRS+mASpV5SLXtUwey6q7jhbBzWc2Vb2GdpNJ3fQoyagZLZcXw1QNSYLNS3BC46IVqZQxq4RssNaVMOh2nlFINdcxlBdLT0xk9ejRxcXE88MADbNiw4WT0i71795KSksLIkSNdx4KCghg8eDCrVq0CYNWqVQQHB7uCJYCRI0diNpv57bffXG3OO+88rFarq01iYiLbt28nKyur1nuXlJSQm5vr9lBnOG9fmcayBcoSfdNRPzo+QeBlq/8a0X1lmi2krUyF+bWC9udXVO6uJ8ApzpHco+ochfDFPe7BUpsEOP+vNQOySmZzxYq+sBYZLOnPpVKqOR1zwPT555+TnJzMY489xpo1a+jfvz89evTgmWeeYd++fY3WsZQU2UQ0MtK9TkxkZKTrXEpKChER7puQenl5ERoa6tamtmtUv8fR5syZQ1BQkOsRFxd34m9ItWzOUgiJkyTunAMSIFWvYRTTFyxHDdgWZUN+GmQlwa7vYO27sl1KZC/oex30nwRtEyqSr+vgKKzYg676sXz4Yrqs1KsU3Rei+8OOr2Dr55Cyoaq+k+GUka+guJp75rUg+nOplGpOx7U1SkhICLfeeiu33norBw8e5MMPP+Ttt99m1qxZlJWVNXYfm9zMmTPd6k7l5ubqP86nk+yDssQ+95CMFkV0k0RoL2vNtqVFFQHPtxIoFWTIXnIpf8oGvm2HyGo1A9nCJDBScpQOr5cVcPkpEjiFd5aE78w9svVJTD+pjVRaJCvcsvfLhrgBUZJgbguQacC85Ip6ThWKc+B/d0Ha5qpjUb0hdmBV9fHiPCk1UJQt++DlJIHFRzbzjehWf1HOU5j+XCqlmtMJ7SVXWlrK77//zm+//ca+fftqjOSciMqcqdTUVKKjq4oEpqam0rdvX1ebtLQ0t9eVlZWRmZnpen1UVBSpqalubSqfV7Y5ms1mw2bzML2iWqb07bD1S0mWBuCwBE9xg6HdUPccpKx9sHslOB1SNdtRIEncIe2q2jgNyDlclRBuj5GAxWKBHUvlGpWBTPxQGQna/Z20twZKMFNwBGz+kLYNCtLA3lr2iXOWS3FKL5uscCt3wOd3Qka11XAdRkBI+5pTbGXFsO0r6JRYkXtVKDWlUjdDz8ukny2M/lwqpZrTcW2NsmLFCm655RYiIyOZMmUKdrudL7/8koMHDzZax9q1a0dUVBTLly93HcvNzeW3334jISEBgISEBLKzs93KHXz33Xc4nU4GDx7savPDDz9QWlq199eyZcvo0qULISEhjdZf1QKUFEgA5AqWqjm4WkaQKhUega1fgNUOe3+Wvduy90ttpIOrZVrMZILd37qXMiovhcIM2PyZjAZVBkvOctizAlI3StJ1uQMOr4Wd3wJOaZ+6SabwDvwG3z8LO5bIiNTOZfDrfFh0nXuw1Gsi9Bhfez5SUZbsS3f0qZJc2RD4GEuAKKXUme6YR5hiY2PJzMxk9OjRvPnmm4wbN+64/9eXn5/Prl27XM/37t3L+vXrCQ0NpU2bNtx77708/fTTdOrUyVVWICYmhvHjxwPQrVs3Ro8ezS233MKCBQsoLS1l+vTpXH311cTEyP+gr732Wp544gluuukmHnroITZt2sTcuXN5+eWXj6vPqgXLS5GgyFkqxRut/rgiCsOQDXFDKzaQztwnwY8jF/IOuV/HUSjBk797/hw+wTLFVlooVby9/eS6JpNcq7wEMnZDm7NkJCt5g4z0bPtaErIrFWZW9au0EA6ugYyd7lXE+02Cs++GQ7XURjOZ5HUms9R+OlrmHpmu89P/MCilVEMdc8D0+OOPc+WVVxIcHHzCN//999+54IILXM8r8xMmT57Mu+++y4MPPkhBQQG33nor2dnZnHvuuSxZssRVgwnggw8+YPr06YwYMQKz2cyECRN49dVXXeeDgoJYunQp06ZNY8CAAYSFhTFr1iwtKXCmKcqRKtzJf4JRJoGEXyvZGqRyhVr1kaeCdAmAkjdIkcm86gsEDNliJC9ZVqaVl4K3v1Tnzj0swVThEfA1JMgxe8u1nU4wSisqeXtDqUUCpbxkWb1mtsi0n6NAaigVZMifRwdL8efC4DskMAqMkj8rR4y8bNIPTJK/dPRqPqjoR3nN40oppep0zAHTLbfc0mg3P//88+utDm4ymXjyySd58skn62wTGhrqKlJZl969e/Pjjz8edz9VC1deKknbjjzZANdRJgFDQZoEMhFdJaipntdjC5RAJOeAVN1O2QxlRVXnzRYJUqL7Sp5SYBRs/q9so+LXCjBJYOTtB8W5Us3b21dyi0pywGyT7UoMA8kYrwjCyh3yWrO31HbavdI9WArtIFW8C9PBHisJ3JE9ZarQ6l9V2sA/AmL7uW/HUskeJcGgUkqpBjuuHCalWpScQ7IyrTgXWp/lfq44W44HRLpX2w6JlzjGHivn+14nBSYxyQhOSDsYOEWm57x9K6b6ymTFW6tOFSvRnBI0Wf0lWTwoTjbDtVTUdLJHy7Xih0HMAAjrCL5hMurkZauoDF4tSLO3lpVuBlWb6Jq9ZZSr7zWyEs8vFCJ7wJDbJBg7Ol/L7A2tB9UsgaCUUqpe+q+mOv0VZUotIkeBBBSdEiUvqCgTvHwlEOp2sQQ1lewxshdceYkkX2fthbbnQpexMjpltkLsWZC5C/IckFUxkpNzWPZ8O/c+2Pyp7DFnDZCl//7hEBQjS/4L02Wz3eA4CeZ2LZPAK7yrBHXb/udegDIoTjbwtdklyLJV7AFn9ZNgz2yRTYCd5VXbnfiFSgJ51gG5VmCkrAYM69Q0n7tSSp1GNGBSp7/qpQIKM2X0puPwioRoQ0Z3Ao5K4C7IkNVkWftlNCg7CbZ8DqHtZMl/eBeI7CajQnnJEniVO9yn8rqMhTZnSwHJsE4StOz/RRLJ/cIk8fzwegnUYvtBfipk7pakbGe1embh3WQUqaxEAqSwjvJ6v1B5VFd9b7jgNjIqVXgEcEpOU11btyillKqXBkzq9BcYK7lEpRV7wZWVyGa4UFEsMqLma1L+lEDDxw4+3WWKzlEoi9esgVJ4EqTYZUhbaD9MSgJUBjrlZRL8HF4PbQZLAOUokMApqpfkEO1YUlHl21sCGwNJMncFSya5tmFIhfBOoyQIiuknI2D1ba5byWyGgPDj/OCUUkpV0oBJnf78Q6HDcNjxTVVdJJDRmPbn1QyYHAVSRLI6bz95gEzPleS7bzMS3BY6XQh7VkppgcrXdLhAgq7KAK2oYv/C8jL3vuQchF3fyJQayOq2zmOk8ndpgUwDFmVBj8sgrLPmICmlVBPTf3XVmSG6F/gGyRL9gnSZngrvLIHO0YUfjfK6N7AFOXf0eZNJ9pMLag25yRIM+YZKwvf2xe5trf7SF9+K6bTsJMlhci31N8loUmg7KHNI3hJUrIAzabCklFLNQP/lVacfR4HUTXKWgW9I1QhScBt5eGINlGTstK21nw+Kq3vDXP8weVTX43IpPZCXLCNIWfsgc6+MUGUnwa6lVQGYyQKt2kteVUF61TV8giryj7RCt1JKNQcNmNTpJX2HbEFSWLFqzcsmOT9thkiSdXEOYJJk6eojS4WZstmt1VeCrJi+cGRPVQ0ki1UqY5ssMopUkue+qg6k3lPuIZmu8/aVTXS9fKRdRHeZUtu9QgI6gJQNsoqtktlbilK26iTlBExmWVnnbZNpPptdk7aVUqqZaMCkTh85hyo21q1W6LGsBJJ+lSCltBCyD0ggEhIvRSatAbI3XOpmCZi8faVQZeuB0HO8rGorypaA6fAGSdo+/Acc+BVadZbVbQERkJ8Ou5ZLlW/DCZhkSi22v9yjJA/2/FAVLKVvdw+WvHyg32TJqcpLkT3j7NFw6A/Zmw5kdKy0UHKlono1zWeqlFIK0IBJnU7St7sHS5UKj8Cfn0D786sKOaZvkyDGhARalUoLJcAqPALB8WCySuCy8zsZddr/U7Wpsm+gdX/ofbVsnJu1Vw6bTFLwMmUjbPsSInrKyFDmbhnZSt8u16lk9oKBN8pUnzVAgjV7NGxbIsGat78894+QAHDnMhl5Coxq7E9QKaVUHTRgUqePnIM1jxnlcrwk132DW99gSb7euUyW6Fef6iorhs2fyUhOabHsQeflDVs+k6kx78q9DJ1wZDds/I97blRAlKyWy0uW50VZkgSenSQjR2mbq9qavWQKzhooeU25hyuqineBgN/BL1hGt8zVflTLSuRaGjAppVST0a1R1Onj6JwikIDHUSBTXoYhpQSCWktwcngdHPxNah/lp1QlXhdmShVwR6GsSMtLkbym3MNyreor5ByF0rasYmTLVLGBbmWwZDgh75DkP+UlHxUseUuJAN+QqoDI7CV9KSuWQMnbzz1Yct03/8Q/L6WUUg2mAZM6fYR3rXnMZJJHRDcJZAIiYfsSmULDJIvOSgshY5dsxgtVU24mswRZvqEVW6vkSZu8ZAlYKgMws5eMPJnMMmqVnSSvNwwpC4AJ9v0CeYer+mWxSrDk5SP5SGXFEvB52aTSty1AruXXSlbIHc23VSN+cEoppTzRKTl1+ghtL3ulHVwtwQrIliUR3WSKqyBDVp8VZwEmSdbuOlbamb0kCHKWyWutAVLFu7xMlvnnHJJjPkESGBWkg61c7mkLlFICORV7tlmsFcFSibTN2CHTepVsgbJ5r09wVdVvZ1nVqj0fuwRyJgskr5fpurBO0qYoS/oQUm2jYIDSEsm7MpkkyPKyntSPWimlzjQaMKnTh5cV2g2F0HjI3CcJ4PZYGa3Zulj+TPkTMEHsQFn1VnRE8pBAgpIuF0lQEt1X8pps3jIVF9FVygakbwGfUFn9VpAuwU9ApKy4K84CR5GssnMUSN5Sykb3YMk3FBL/nwRiRdkS4PgGywhTSb68JiAKNv0fFGdLGYSs/ZC6UUoOBLeD+HPkNZXSt8H+VbIXHSbZZLftORVBlrNies9bSxIopdQJ0IBJnV4s3jLqE9re/XivK2SqK2ufTN3lHpBkcKufjEAVZUlpgNQt0HU0bPwMygpka5OgGNi1AiwWCZoytkH2Pug4QvKh4s6SpPJ250s+05bPoSRHyg9k7q7qgy0I+t0A27+RKuOpm6BVxea9FqsEX60HQvKfsprPu6JvJXkyWlWUDT36QUi1BPOMXbDli2r7zxlSaXzL59D+Alm5l58mI23RveR6Vv+T+AVQSqnTkwZM6sxgj5aHt69siLv5v5LQXe6QhzVAVssVZkBWEoR3lOTvlI1SbLIwUwpHRveW7VRKi6SwZbvzZaWd4ZRVa9uXSEC28xv3VXveftDnagl8cpIkQOp2Caz7l4xUmcwyauUbIqNYvq0kCHOWy6o8v1YybZhzQEa7QM4dWlctWKom+4Cs6guIkuuQAztTpLBmp8RqK/2UUko1hCZ9qzNLWGcJXmrsFWfIyEthhiSBe/nJKjq/MHlu9ZcE79RNEmA58qVIZfZ+yTUyWSpW0eXBpk/cgyWLVQKhlE0y5ebtBzZ/KYppqsil8g+TkSTDCalb4cguyX3K3C2jXmlbpB9l1epMleRXrcarrjIoy9pXsf9cNalbqpLSlVJKNZgGTOrM4SiU0ZzgNlKF2ye4Yt+4NhDZUwIWkOAmeZ2cKy2Q0aSCNAmmyh0yNWa2yIhSSZ6MDpU7ZBQqa5+M4lQyWyuSussBQ0Z+7LFyLD/FvX+lRVBWKiNGjgKqfjyNilymfTIF6Lq2RR413meBBE2WOhK/KwtsKqWUajCdklNnhvTtsPcHWSkXEClJ1/5hUj27MugwmWUFmtVfkrcL0sG/lUzXgax8K8mX5O7WZ8mIkm+IjDJZ/WH7V+6lA7x85IFJXmuxychUQIRMBx79/xUvm4wMtRkiW7WYzO577Vau0qtkC5Dpv4NrjnqzFS+K6F6xd97Rp48eXVNKKeWJjjCp01/WftljrqBiT7bCDGh7NhRmVdVeAghqA93GA2bZI85mh7TtEsBgkgDFFiBBkNkiyeClhTIq9PvbNess+YXJ68odMgVXmCGjS1n7ZS87o9y9nwFRMupUnAM9J0jeksksU3ixg6BtgkzpVRfTFwLC3Y9Z/WXq0a9V1VYw1QW3rXlMKaVUvXSESbUM5WUylZS2VVa0BUZCWFcpIeBJ2hb3wMFZLivHOo6Q50Ex4BsmidA7lsCB1RXTbCUSOBUcgV4T4OA6KEyXGkqRPWTKLulX2LWsYkl/haA2UmHcWSZJ5rZA6W9eKsT0kzZHdssI0KHf5V72GAlwyoqlf2YvKZFg9qoY2cqD3BQJnqrzD4MeE+DIThlFMwHh3eQ1u5bX/CxC4jVgUkqp46ABkzr1OZ1w4DfY92NVQcrcw5C8ETqPluXy9b02+0Atx8skYdrsBV3GyDTVxk9kyi0wSkZ5SnJhxzfQ4zK5f1gniLlSRpjCukjpgJ1L3IOlwGjoP0kCpuQ/JNCx2WVkqffV0p/SIglaQtpCqw5S7sBila1SYgdKUJS9H/f5OKSAZkAt+8f5hYDfWVLeoFJ5mfTz0O+Sc2XxljytmL4y2qWUUuqYaMCkTn15h2VFmXFUAOEsgz0rIDjOvZBjdWaz1FoqPFLHeW95HF4nydIWb8lxsgVWbKUSJa/tOFISwA+ukWAqPhfWveceLIV2gLbnyghYQCR0GC55UEFtJHjJS3Ef6YrsLsFVQZoEal4+8rr0bVCQKoFVpaBYuZ6lgT+yFi8JJMM6S96UV0WdJ6WUUsdFAyZ16ss5WHutIZCgJvdw3QETQFTv2keZAMI7gU9gVbXvSt5+MtKU9KsEbD7BMmJkMst03M8vSyXuSh1GQEh7Cc68fSW3KT9VRopC2kky99G8fCvKCkTKw9XfnnLv3EMVe8yFSFDo7Vv3e6yLt00eSimlTogGTOrUV15a//m6gqlKYZ1kz7aUje7HK7c0wVT78nxrgFQMNwywR4FlsCzXX/9+RTHICgNvgv6TJejK3F3VH3us5CwVZdW8trefjBrVxT9MHkoppU4Jp/QquccffxyTyeT26Nq1akf64uJipk2bRqtWrQgICGDChAmkpqa6XSMpKYmxY8fi5+dHREQEDzzwAGVlHn7BqlNLQKQED5V/mqvF+WYvSZauj7evTKn1nCA5PJE9ZM+4nhPAP7xi+qq3jOr4h0sCttVf8ppKciG8C5htMnX2x7vuwdLgO6HXVeB0SAXunpdD93HQYzycdSu0SXCfSjR7S55Tt7HgF9qIH5JSSqmT6ZQfYerRowfffvut67mXV1WX77vvPhYvXswnn3xCUFAQ06dP5/LLL+fnn38GoLy8nLFjxxIVFcUvv/xCcnIykyZNwtvbm2eeeabJ34s6DqVFshw/batMzfkESdBj9pJCkZHdJQCp5HRKrlBJjiRS+0fIlJu3j+zfFt7Z/frlZXLt/b9A0i+SS2QNkJGnoNYSHEV2h4NrZTuV0sKq1/a+WvKE0rZKXlNZkQRa7YZBdA+ZsrP6Q/dLZZSpJK9iz7pkSFoFRTmyl5xvEDWUl8pUY0meBHz2mJpTcoVHpE15qQSN9hjdYFcppU6SUz5g8vLyIiqq5sqgnJwc/vnPf7Jw4UKGDx8OwDvvvEO3bt349ddfGTJkCEuXLmXLli18++23REZG0rdvX5566ikeeughHn/8cazWOiohq1ODsxz2fg+H/pAgxuoveUHbFkP78yF+aEXwVDFQWlIgQU9eatW2JbYg6DxKRnqcZRLwePvJI32brFDb/DngrAiuQiQQ278Kuo+HuAT49U1I2yRlBiq1HyH9W/dvyZ+K6Sf3ytwle9F1Hwc5h2WTXm9f6Wfyn5I4DlCYDRm7pcp4z8vdc7AKj0hJgPwjYPOVEggmM8QNkZEwW6Bca8+KqsRwk1mmHjuOBB/7Sf2yKKXUmeiUD5h27txJTEwMPj4+JCQkMGfOHNq0acPatWspLS1l5MiRrrZdu3alTZs2rFq1iiFDhrBq1Sp69epFZGRVQm1iYiJ33HEHmzdvpl+/frXes6SkhJKSql+Oubm5tbZTJ1nuYQkMQIKOsM6S5G2Uy7L9kLZSSLLSwTXymm1fVmwtAnBQqmZ32SLBUN7himk4q4z2GEgNo+IcwAB7awjrKMHQ5v/KyM3RwVJkLxlNKi2SpO3ibNj6hQRFpcWylL+8GFoPkoTz0mKp7ZT8p0zvleTJKFhZidzb20/atmov9921HPIzoKwQdiyuqsy9/2foMBI6DoedS91ztwyn1GGy+kPnxJP2JWlO+nOplGpOp3QO0+DBg3n33XdZsmQJ8+fPZ+/evQwdOpS8vDxSUlKwWq0EBwe7vSYyMpKUFNmjKyUlxS1Yqjxfea4uc+bMISgoyPWIi4tr3DemGiY/rWIPtmqs/lLXyOIt5ysVZsqmsgfWVAuWkPyhwgzYsVSCCgNJ8N70f1J4cv/PFavdDGmbuQsO/g45h6TUwNbP3IOl+KEyBVZeCll7pD+lxbJ0f9dyWb5vqdg/bsNHsGwWpG+BgxXFMPOSZU+4cof0K2UjrP8A1vxD+pS5GzL3gtUX9qx038akrEQ25N3xTc0ClpVSt1RVND/N6M+lUqo5ndIjTGPGjHH9vXfv3gwePJi2bdvy8ccf4+t7HEusG2jmzJnMmDHD9Tw3N1f/cW4OJlPDz+cckgDkwG9y3LtieX9ZiUzDOfJlis6vlRwLiJRVbWaLBEomk2w7UlYCZQ4JZCpHnSoFxEil7JxD0t5RIK8tLZTAriQX2VZlAGz/Wo572eTPjF0yIhUSL8GWj10CG8Mp93Xkw+7v5HZePtK32vZ8Ky2Ukap2w9yTzyuVFbvnWZ1G9OdSKdWcTukRpqMFBwfTuXNndu3aRVRUFA6Hg+zsbLc2qamprpynqKioGqvmKp/XlhdVyWazYbfb3R6qGQREua+Iq87sXVX1On27BBGOwoqpskIJnoqzZSSnrEQCnKIc8PYHTBK87FkhG+GWFsn0VmX5guJsKM7EPViKlGDHP1xGtyzeEpSVFck9SnLkPv6tZErOFijPbXZJGA9qXRW8lRbINGFl7aWQeCjKlADKkS/Xc+TX/r4t1voDSYutYsPf04/+XCqlmlOLCpjy8/PZvXs30dHRDBgwAG9vb5Yvr9ova/v27SQlJZGQkABAQkICGzduJC2taupm2bJl2O12unfv3uT9V8coMEpye2oTN0jOOwpk6qo4S5bp22Oq2hRmVowYlUgg4RMoBSSzD8hIjJcVUrdKTlBpiYwWlZdBUbWq4CYLBMZKgJa2SXKkDOT1Vn857iyX1Xl+oZKcbqqYLvQPk/aZuyGih4w2FefKa8qKJTDyCZFVfpW1mpxlEozZYyWfKqQd+IZW9cU3WAKso7dNqRTeRYI6pZRSjeqUDpjuv/9+vv/+e/bt28cvv/zCZZddhsVi4ZprriEoKIibbrqJGTNmsGLFCtauXcvUqVNJSEhgyJAhAIwaNYru3btzww03sGHDBr755hseffRRpk2bhs2m1Y9PeWYztD0bul0sIzQ2u/zZ7WJZ9WY2S/J0YaYkUvsEQ6dECSyc5RUjR+UQ3lWCG/8IGVVK3iAFKbtdAhGdJTAZcrusMiurth2JySz7zNkCJfeotFim/NqcJSvYnGUSIEX1loTvQTfL87JiCYC8fST/yewlSd+9rpASBWaLjBQFxcqmvpWJ7f5hskKu3bCqkgZZe6XvcQlSfNMaAO3Ol79bjlrlGRIvn5enqUyllFLH7JTOYTp48CDXXHMNR44cITw8nHPPPZdff/2V8HD5H/TLL7+M2WxmwoQJlJSUkJiYyBtvvOF6vcVi4csvv+SOO+4gISEBf39/Jk+ezJNPPtlcb0kdKy+rBAfh3ST4sNjc91OrvlIse79sajvsQdi9EnIOyIhTZDcoqZimK8gATOAbAil/Qto22YLEcFZMg1WM3Hj5QHQ/8PKX0azSQslpchTKFGCvyyUQKsqSvKjIHrBhkVy7+6WyGs8vRDbpzd4v033Jf0qRy/zUihpNgXK70HZSY8ovTEabjuyUkge+wRJApW2WvKneV0kZgriB0j97jARy5Q55bVDs8W2fopRSyqNTOmD66KOP6j3v4+PDvHnzmDdvXp1t2rZty1dffdXYXVNNzeJV+8azviESPJQVy/Ps/TLCFNpOtjOJ6g3FeeAXXlHgMRTanSdJ2d7+MrrkdMCRXVXX9PKB1mcBBmRshfJyaDdURnTKHJKw7RMEeWky0pV7SGov9Z8EyeulvEHGDgnuvH0h/lwJeIJjJQDasxLyU6SW1K7l0teuY6E4X0oL7P1R+hDcVgIoR75M+RVnQdwVVUGRPVoeSimlTrpTOmBSyqOACJkOS/q16phRXjHyUipTdQUVif9BcdB5jCzbN5mlVlL2Psg9WPVaixX6XCujNYfXy3Rffgoc3iBTgjZ/yUsCCdKKcySPyuwluUpJv8qoWNxgOVaQLoU3B06GgiOw5zvAKaNQFqusqCt3SAHNs26rud+dxVqVw+So2NA3tN3J+SyVUkrVSQMm1fK1GSIJ1QfXymiMxVqRy2OW4KhSzkGI6A6pFUFJ7mGZOqtksUpxzPCukgfUqqOMUOUelBEfE5C5T6bKbIEQ0x+KsuW1viGy3Ul5iUwTBreRQCe4jeRFFaSDbxhE9pSRo7ISmZZr1aHq/mVFnjcSNupI9lZKKXVSacCkWj5vXwmQInpUBEzeslIsa58ENEWZgEmm48ze0GYorH/fPVjy9pcVafZYCZyKsyVBe9+PsHuFjFSFtpetR7z95B7thsooU9KvVbWVWnWQa/kESVBUlAlevmCq2OC3MF1GiWpTnCOJ22lbaj9vDfC80bBSSqmTQgMmdfrwDXLfyDa0HfS7TkZ3CjLg0FrJD9r/gyRSV7IFQadRMqoUlyBTdX6hsPlT8IuAbpdKnlJRJhz+A/rdAG0GS1kDkKm+I7tk9d2+XwCnTMeFdZGE9dyD4OUt1/fykdV7hlOCLt/QiuKZyCq/wCipz1QjqDLJPWvbqFcppdRJpwGTOvXlp8m2J44CKQ0QGA1+wVXnS4vkfNY+wJApr+A2knSde1hGiQ6sAaufBDWpm6pe6xcmOUs2f0niLs6SoMUvFKL6wIFfJbiJHQhBwyQ3qiBdRpAqlZXIpr+lhUBFdW5nmQRlpYUyXWeyyCa/RZkQ0Q0pnlkIe3+oup6XN7S/ALpfIuULUrfKvf1aycq4iB4n/aNWSilVOw2Y1KktdYvsA+cbLFNWGdtlZKZzoqxk87LBzmWy1L9S5j6ZXivJk+my9G0yVZeTJKvUKtnskHC3JHUbTgiOk01tizIlV6j9+RAcD/t+kNfZW0OXiyT5+shuqQFVkivXObIbAiMlCCrIAAyZpjvwG5x9lxw3ARYL7PsJ2p4D25cA5TJlF9wGsvbLfnJtz4GSfEk8twZAq06yIXBtqwSVUko1Cf0XWJ268tMlgPENkU1yq69myzkIGXugzSD3YCkwWgKkggzZm80nUFagOfLc917zDYWQ9lLVO+8wWNpIrhJIsJR7WO5tj4WYfjKVl5cCIW0kGNv4f7IaDiSoSdkoCeP2WMlxKi2UUSbfEAmcKpPDbUEQ0gH2rpQSAmaL5D5ZbBK0Ja8HKvepq9h4OG2zFLNsm3ByPmellFIeacCkmlZpsQQ+xbkyshIUKwFDbXIOSPCSn+oeLIFMw2XtAaNUkr5Li2SkJ+egbH0SECmvN8VJwcrykqrXmr2h8yjZDiX3oEzh7VkhU2t+obLM3+ItZQC8fWXkqdwhAUx5mQRPARFVOUxetqrClH6hEph5+0FBmtRtOnoTXYuXlCsIipPVdpVKciE3WSp+21vLCBnIZ5D0qySUB0Sc2OevlFLquGjApJpOfhrs+EaKOFZW1PYJkum16svrKzkKJKDY+4MERJgkkDFb5Hy5A1I2y8hLaZHkI+1ZIaUEnGVQUiCVvKsHS14+FavWvMHLJKNEXlaZAjPK5U9nmQQplop94vJTZUqwJF+OG+WSL+UTJAGVxSqPnN3SDiqW/5tkW5PinKPemKnqPVRXUlFpvHK0qbqyYshL1YBJKaWaySm9l5w6jZSVwq5vZQSo+saxxTmw9cuKvJ+j+ATJ8cpE64I0CV4chYBJAp/KaTEAswnStkq+ktVXVruVFlSdt1hlSqwyWDFbpS5SUbbkKBVlSf6SySwJ4kGxsnLNN0zKFET1BJ8ACVycpRVbqSB9bHu2BHeVgU5ZsYxctR8Gh9ZJcFe9H10ulpEr/zAZqbJYqz6X4LYSLNagNZiUUqq56AiTahp5h2WqrDalhZLw7B/mftxwSjAS019yjUwWCZ6y9svUl08QhHeRaS8vHxnBMlvk77tXVuUAQUXydEcJRNomSDK3xSqBktkb+l5TsWFugEzh7f9Fzmcnyaq1tC2SU9VlLATthYCwiu1WHBLEFWXJZr5BsbJNim+w5DMl/VaxtUmpXM8/XK5ZmA4Zu+S4b4jkKPlHSh997FKCoDi3YuUdVbWllFJKNQsNmFTTcOTXnGaqrjjL/XlpkWxN0m6o1E86+LuM2oS0k21FinNlOqzDBRKs7P1Jgpf4YbD1cyipNg3m5QOYIbSjjPiUlUi5gLZnVyRmW2T/t+QNkhweHC+1lnZ9K7WPdi6FnpfJNF5ZoQQvpSXg7QO+UeA0pGyBtz+UOyG8MxzZA7mrIai11IMymWREy2KRvvmFQaRNgrPiHElq73ONvM8NH8loVmCsBIbOclkpV5kzBRX5V4ck8DJ7S7J7YJTcRymlVKPTgEk1DW8/ZF19HdNKtqMSv0typfjjxk8koTqqlyREFxyB3cuh3yQJloLiZFQpti+s+wB2LXMPlkLbQ6+Jcv/Q9rDxYxnVCYiUVW9Z+6VOU2h7iD9HVscVZsDuZTDoFsmfykuR0aDQeNi7GuIGycjRjiUSBHa4APpPlunGg79CaZ7UcNr8qQRh3S+Ta/uFwYYP5b2WO6TfQa2lpEDmPgmWfEOgzdmw7QsZ/QqMkYrjtkBJAvexyxTizqUSlFV+nhYrtDsXYgeBWWfalVKqsWnApJpGYAzYo6s2rq3OywdC2rofs9ikPlJRpjx3IFNwfqGASabBAqNllVt5Gez/FfYsdx+p8vaTkZikX2RUavsXEgzFDpQRJS8fOVdeKqM8uYdlxVvlVODhtZC9X4IbLyvs/BbaJMjIk7NM+mIYsjquKBtaD5J+pW6Wa7c5S/psAFv/Bx1GyJYr+akShDnLqqbpcg/JiFlEd/jjfTkeEFkxMuUFGTukREKnUTI6dmS3++dV7pBpSL+w2hPolVJKnRD9r6hqGt42+WV/dB6Oty90GS3BQXVePjLVZrHJw1qRUO3Il2mzoiypt+R0SjHL3+a7F6X09gNrxaiV0wmH/pCEb2uAjF7lp0pit7NMRpzKHTIyU3hEpvuKcyTnqrRQXm+xStB3ZEfFa8rkNaUFEoSVFcvmuz4hkjtVlCl1nbIOSNAUEPX/27v38KqrO9/j79++7519yc51JyQhQLgFBCQK4nVaaRkVqtXWS7GH9uno2OKZeuy0fexUp0/nzOgZz+NgPbTaZ47S54wVW0VsxTKlCAojAgLhTrhD7vednWTf917njwWBFEq4BHcg39fz5MHsvfYv67fcv51P1lq/tXTvWG+L7ilLRvUxEmFdl2gQsnKhu17f1Wcy66E/wzg1j6lpt74DsHnv2dtYpfVdgUIIIQad9DCJz463CKY+oIeuIkEdarJLztxQNhGB2k16kvXJHh7DpIffLE7dC2Q+cXdcqBFW/L0OHCc5snUAM1n0z7C7TwSSPH1bfvsh/W+oETB0D1N3ox4aS7bo+pgser2kVFKHl6w8XeeWQzpYGSeXNkjouiVjEK7Xd90pdWKCerO+W6+xGpp26QnhGDpkObJP3WWHAfGIXkizYduZ7Wac+LsmGdVLDySjf7mNw2e521AIIcQlk8AkPlt2z4m91M6haaeeRF04SQemZFQveNnbpidUu3LBX64Dxzt/23+jWptb905Fu3XIOXmnnNWhN6412/RddQ3b9ATtwGQdzsw2HY6cubpHq7tJTzAP1oHVBr6RkIgDJt3LZLbpIJNO6nCViunJ16mEHhLradT1r92ke8RsHn3MvLF6nlJvhx5iS0Z1L9vEufo8XP7+bWGYTy1uabbp8zu5UOfZuOVOOiGEuBxkSE4MDcmEHm5qqNb/Onz6K7dCL/7o8usNciOdOnw4/fD23/QPSyOu04ECwFD6DrKT6xml05BK6TlPRddAMgI9DbqnqaBS9yKF6vSwWG4FzFqoA05hJVTeA7UbIHgEbHYov1nf+Wb36LDkKz1VNhnTvUzN+/Tecp1HT9XP6tQb/2YVwOhbYewcGHeH3p8ur0LP2fKV6WPqk9Bbsdiy9Lf54/XE88K/sAmvyQz5Ewbtf4kQQohTpIdJZF5Pi55IHTyu5+s07gRvMZTdoO9I847Qd5uBDha5FfCfT52aEA56QnXJ9fpOs5Y9uufH5tZboBg28Jfq+VPppO6h8hTrgFJfDcXToOhaPW8pb7Se+2Rzw9ENEKiET36ue598pXpYraEaiqbpBSb9o/Qx88bq49RthcNrdehJp/Vzjmw9TOcp1POjOg7pr8p79fkGe3QArFqgh/Em3XtiPpRXz4nC0JPiR96o5zSVztS9a637Ty3VYHHAqFt1fYQQQgw6CUwisxKxE9ulnNgrzmTVc4c6j+j5Op6AvgstK1cPSUU6YNWPT9tI14DyWyBnjB6mmnCXvs2/YZsONB2H9MrgjdVAWvdCeYrhmq/qxTQbqvXmvTlj9M/Y+jrc9HdQs0JvjtuwTQcfh0+HlXhYl03GYMzn9ca+BZWAgvX/pudb2Tw61Dl9J9ZHKtKByGIHb4++Iw70XCiV1sctmgKBKRBAh6txc3S5VFwHPV+pHlYEHaQmzIWiet0eJov+GTIcJ4QQl40EJpFZofoTe8udYLLokNS8T9/WP+Z2vcVJqF4Pr3UePbU3nGGC6//m1NJOqbgeGkPp1cGP/ZcepkqE6St0/GMdyMpugI6Dp5Yz6G2Ho3v1UFvwuA4xZsup/dtScR14SOthwZxRJ/4drSeMuwPwVz+Cpu26Du4CvXq3YTo1aRt0iLNl6epYXXouVvE0vTDlSYahJ8h7i/5yu5mteniO8otseCGEEBdCApPIrFiIMxazdPj1Lf8qrcOOYdI9Ox2H9RIAoCdDz/lnPTxVs1IvVmn36LCh0HvPJaN6EvafH7+1BiZ9RYedo+sh3KHnF5XfokNRV8OpYGO26Dqc3GQX9F13No/u0TLb9LBb6EQPmXeEDkHlN0PeOH2MQx/oMqADnL9c94T5SvQEc1loUgghhjwJTCKzrM5T24akk3puTiKie5pyRuueF5WGPctPhY6Tw3Ami35u3Bw9pHcyUHkCJ4bhtvffT+7ka105EA/pieajP6dDjErrIcCuWgi3QP5Y3atUOFkHMYtDz3mK9eghPZtLD6M17ex/+JO9T75SfV4jpuvepo4jOhxm5erz+vN1p4QQQgxpEphEZtk9OjyEGnW4sXtOCzmGXuF69zunHjMM8FfoOTut+3W4qvoGlFTpYbV0Qs83qt2k70jradXrHhlm3dvj9J9awNJs1pOwQd81B/r5oql60rmnSPc+HVuvA1PRNCiv0EsWuPOgZKZeu+n4Jj2nyZWj7+bzFOtwdDIMZpfqr9OlT/Sema0nhvqEEEIMZRKYROYEj8Pe9/Q+au37dXix2PXcH/9ovdHt9l+fuhPMZIGym/U+bXaPXjrA6oZwp54InXXaApjuQj2JOtqlJ00nonr4LXhczx2KhqDwGmjap8NS3jg92Rr0Ok0mC2x/U4eewmv0BPHWfToYTbgDnHlwZK3eF678Fj2PqeuY3hZl93J9nPKbdA+WI1vXw2zWr+s8oiehJ6L6fN0Futfpz0OVEEKIIWNYBabFixfz/PPP09TUxNSpU3nppZeYMWPGJR0zmUpztK2XI+29JJNp8j12mkJR2nvilOQ4sZlNtPXGMYCcLBsmpbBZLdR3RQiFE4zMc2Fg0BmO47SayXPbicVTKEMRSaRJpRVms0FHT5xkOs0Iv4vuSJKO3hh5Hju5Lhs9sQRpBW09cSxmg/GFHtp6YhzviOC2mwn4nLR2RwmGExRlO8l2WLBZTHT0JjjeGSY3y0pulp2GrijheIoRfidOq4lEKk2200prdwyz2UQknqKjN06Bx47daqahK4LZMBiZ6yKdVsRSilAkQXc0SVm2E5vNTEMwQnc0QVmOC8Nk0BaKYZgMAh4rRW2f0muqoN1WQjhnFoFcH8lUis6eGCXhLUza8+8Y6LCUtLjYU/U/6fFXEgwnSCnwF4wkmDTTsS9BvqeRXJeV3ngSu4rS2BbGabmOMleIkqYPsHfuh1G30aMcxHPG0R31URcfQSMjsNpN5JhspJIp7KYUOc4oJcffJZ7y0B2FeCqbLGcOLnOKdEIRj3vZny7H66wgnEgxPtiIpWE/ppadhLtDJNIKi8nA0/UHsup2EAtMJ9qwj+6UBf/IyXT1Rmm2jCAaasGvgpSnduKNLyU8Zg4HTGNo7AWXy4nb6SAvx0+xz4nNIvOchBAik4ZNYHrzzTd58sknefnll5k5cyaLFi1izpw51NTUUFBQcFHHjCVSbDjUzhubjmMxw+zKAP+0Yi/7m7uZN7WYP+1tZndDF+MKvRxu62FCwM3d00r4v+trqO0Ic19VCcuq66nrCDOxyEtjMILbYWH+zJG090ap74yS7bLx/o5GwvEkd00p5hdrD5NMpynxO2nojHL/daWkUbyztR6b2eBHd03kd9sbef2TY4zKy2LmmFz+ecVect162Kc+GOanX5rEzvoQb2yq5bqRfsrzXKzY0UhJjotQJEFzKMpXqkq5+9oRvPLhYWaOyWXV7mb2NnVz45hcYsk0Gw+3U1HgJhJP4bKZeOiGct7eXMe+5hD3V5WAgl99cozWUJQvVBbyx90t7G8OMbbQw57GEDeXu7lzdBkr139KT2+YGyaN5v0DDbT0JLjPuYUvdv8HhqF7fKJmN8tLn6I7Wsq6jw4RS6SYNqmSFZsOkVaKEdlO6oNhHrq+jLRKs+LjbRS4rfgjxzESvUyvKOfzjgSeHe/QO+JWEsW38tq2bjYerqW9N040kcLtsHB/VRkHWoI8do2VtvYOdtR1k0wrIokUaaWwmk0U+RzEY9vY5c+nM5LgnmkBavdtId+W4uDBBkLhKCbDwGUzYzGbGKfayfW08kldBG9uEa1Bg5U1MVLBj1DRbtIKAvl+7qrIxbJpGR05N/PG0Vw6eqJMG5XPhNJC8vMLuGVsPln2YXO5CiHEkDNs/mx94YUXeOSRR/jmN79JZWUlL7/8Mi6Xi1dfffWij3mgpZulm2vpDMeZMTKHX39yjB11XZRkOwlFEvzXwXZ6okl21gfJ99iZVpLDoj/tp6M3zoRCNzVN3eys7aKjN8G+xhBuh4XWUIxfbThKKJIiJ8vOW1tqqQuGmT4yhz/uaaa2M0JTV4yO3gR+l4VQNM6Sj48QTiSZN6WYXfUh/n39EeKpNNPKsvnN5lo6I0kOtvZiNZuYNSaXTUeD/G57A9lZFkYXZPHbLXWEYin2NHbjz7KRTsPammb+c3cDE4u9/HF3M/uausmymTEZBn/a20J3LMXBlm7MJoPry3P45YeHqAuGGZHtIs9r5z82HuNgSw8Bn4NQNMHHh9tp602wpzFEkdfBpHwb/7FuF+1xGwX5BdS0xNjf3MutsQ95sOf/YToRlkKGh3fH/IRu33hW7m6hoSvOyNJy3tsXoi4YobErSmc4To7LRmckzq8+PoKyuHCluunu6SWSNPHR3gY+Tk+iLuYmFOyg8cA2Nh3uoDOcoDeWIpmGznCC1zcdZUyel/qeJNubY3QlTTRHIKqstMdMNIXheChNFCtHOnrZ09DFkeZOoiYXRw7X0BJOE1E2etNW2mNmelIWttT20NjWgZGVi7Wsil9vOEQkGiMW7qE3aSKBmdrWEMsPJOn1lNF6qJrJhVYSadh8qJW61iCHGtvZ2xga4N0ohBDicjKUUmrgYle2eDyOy+Xirbfe4p577ul7fMGCBQSDQd59991+5WOxGLFYrO/7UChEaWkpXV1deL1eAFJpxbvV9by5uRaH1cSH+2XT00v1qPn3/Mj6Rt/3TcrP/PiPOKRGZLBWmfejzxdjy/Lz4IwSHNbh28t0Ptfl6bZu3UpVVRVPLl5Gydi/sJ3MOdQd2M0LC+9ly5YtTJ8+/ZLqLoS48g2LHqa2tjZSqRSFhf1v5S4sLKSpqemM8s8++yw+n6/vq7T0zMm4yXSa7qheE8hlM1+eig8bir8zL+sXlupUHvfHnxn2YQn0jXaRRJJoIp3pqmTU+VyXQghxuQyLwHShnnrqKbq6uvq+amtrzyhjNZnIzdILGXZHk2c8L86X4geWN3nS+lbfI0fThdwfe4bjStYqAkhjxuOw4rQO72B+PtelEEJcLsOifz8vLw+z2Uxzc3O/x5ubmwkEAmeUt9vt2O3nXhvHZDIYW+il2OegPhjhmTsnsO5gG2v3t1Hqd3DtyBx+X92AxQROu4WA18EXJhbwp30tBMMJCjx28j12PtjXCkDAayfXbaOzN06Rz0FVmZ8sh4XfbK6jrTfGrePyOdoWZn9LDwATCt0kUim+UBlg2dZ6UirNA1Vl+LJsPL9yHykFD15fyh/3NNHeq3vCJhd7ybIajC/28v6OJpJpxV1Tili2tZ5IIo3ZgEkjvOysCxHw2rmvqoRUOs3+5h6qa4OYTAa3VOSzbJveysTntFCS7WTm6By2HO+koyeB3WLiwetLWbGzkW21XYzKdXLNiGx+t6MRA8h128h2WrlzXBbVe/Zzf+y3zE2v6WvXY6qAf7b+d0odZuzdTVSO8DChKBvlLubNrU2098a5bXw+h1p6OdjaC8DEgIdEKsXt4wt4e1s9TrNiTFYEU+s+zCpFGvjS9RUUd1XTHjOwTrmXH6zqIK0UXeEkClAocrOs3DttBL2xJJ2RBAdbekmpNKP9VhpCCQ62RZhY7CUWT5HvddAcjPDl6aVsOtKOw2qiytNBXmc1sbZjpA0L7sBo2twTKS4q4tAfXyYw/S7e2p/CZzfhTXWSaDmAxWxg2LIoKi5mmr2Zg+bRvLMvQiKlR8rvqBpD3LByY0k29mEemM7nuhRCiMtlWPQw2Ww2qqqqWL16dd9j6XSa1atXM2vWrIs+bkWBm6/NLKM8z82Gw+3cO72EL1YW0hVOkEqlmTu1iBK/i8nFPoLhOLsagjwxexzjCt0cbe8lz23n9gn5jM7LYlyhh1gyTUWBm2/cNIpAtpP6YIT5N4xkYpGX6tpObqrI49pSHxX5WThtZpQyyLJbePS2MRR6nPxuZwOj8518b854Ah476w+08pXpJUwIuJlU7KErEmdfcw/Xlvj5bzeWYwDVtUG+NqOMUbkurinx0RiMkpNl5StVJXx+fD7BcJKbK/K5cUwuZiAYjnHf9BGU+Z1U5LtJpRV760M8cssYKou8dEXiHGjp4aEZZdwyNpfOcIJEOs28KUWMyctiQqGH9p4Y+xo6+Zec9/qFpUZLCf8763u4cwJEYgkmBtzcPi4fl38EbVGYf8NIxhd5qT4e5JZx+Uwr9TG2IAuH1UQ6DT6Xlb+9rQLMFvaEnDhKp5EbKOPOmZMZZW4nZC/EUjkXZ14ZD80oo8DtINtlxWYxqMh38/UbyjnW3svYgizunlbMmIIsvA4bNa1xumMwtcTPyBwX+R4HeVl2bq8MUFHgZkKRlwKvkz81e/l55/XsLPoq7RMe4mPHbRSNnsREZyeVo0di6zrCgr+qpMPkZ0eiBGPUzajCyYweP4W5108kkj+VnUEHJpOJLLuFL1w7hrzcHKaX5zM+4L6EK0AIIcSlGhaTvkEvK7BgwQJeeeUVZsyYwaJFi/jNb37Dvn37zpjb9OdCoRA+n+8vTi5t6YpypL2XeDJNvsdGcyhOMByj0GfHYbHQFUmAgiyHmXRa4bZbaArF6IklKPY5MZkNusJJXDYz2U7riXWVFPGUIpFMYzWb6IknSSQVhV4bvbEU3dEkPqcVn8tCKJzEZIJQJAWGYlSui2AkQXMojt0CAZ+Ttu44vfEkOW4bWVYTVrOJ7liK5lAMj8NMbpad5lCUWDJNvseB1WSQSCbJyXLQ3B3FajERTym6I0mynRasFoO2njhmk8GIbCfhuL71PpJIEY6lyPfYcVgMWrrjhOMpirLtgEFXOI4JxdRPf0j+0d+famNPBbU3/y9iVi/dkQQ2qxm7xUQ7frzZ2ShlEE+mMBm6LZIpRYHHTjiepDuaINtlx+MwEwonMJkMuqJJlFIUeGzkmXtJJpIElYdIGqxmE9kOM8GoXlfKbDLhdVhIplLYLSZiKbCYwGUz0RVO0ptI47KasZoNosk0oHBYLWTZDGLJNA6LhVAsSTKVJqV0GLeZTeS6HYTjCTwOK9kuK3WdUb1+lttGKKrnJBVnOxlf4MblsHK8vYeWjk6iiTROuw23y4k/y0G+x45hGIN8RVz5BrouZdK3EGIwDYshOYAHHniA1tZWnnnmGZqampg2bRorV64cMCydjwKfgwKfo+/7CefYZP6kyitoLvMEfIN3sFQClj0Kp4UlAlPwzvsZk+ye/mWd/v6rd1+0/EE4xqUb4c865/NluW7KcqUnSQghhqJhE5gAHn/8cR5//PFMV2N427cCdi879X1xFcz9N73P2+ns7kEKS0IIIcSlGxZzmMQQMukeuOXv9X+X3gDzXjwzLFmdei84IYQQYogYVj1MYoj4/I/BE4CyG/Xms6ez2MBTpBcfEkIIIYYI6WESnz3DgCkPnBmWzBbwFINJ3pZCCCGGFvnNJIYGk0mHJbN0egohhBh65LeTyDzD0GHJYst0TcRVqK2tDbO78aJeJ4QQJ0lgEpllGHo+k9UxcFkhLkBjow5Jy5Ytw+zOueDXp3o6+h1HCDG8SWASmZWVd+ZdckIMgmAwCMDnrh3NhPFjL/j1+2oO8Pvtp44jhBjeJDCJzHHlgGMQF8UU4iz8bgdFuWeuBD6QZrf0egohTpHAJDLD6pIJ3uKKcOTIEbZu3XpRr83Ly6OsrGyQaySEyAT5jSUyQ8KSGOLCsSQATz/9NE8//fRFHcPhsPPWW29TVHQe+yWdhQQuIYYO+a0lhBBnEUvowPTDr97A/bdXXfDr1+08yv9YvIK5c+dedB0kcAkxdEhgEkKIcyjJ9zB93IXvlr33eCsK+D/f+SKzplz4pPPBCFwul5O9e/dJaBJiEEhgEkKIy6ii2J+RwLX3eCsP/8tvWLduHRMnTrzg10vvlBD9SWASQogh7GIDV2NHNwbw8MMPX9TPleFAIfqTwCSEEFehYE/0onuoZDhQiDNJYBJCiKvYxfRQZXo4ECAWi2G32wcu+BdID5cYbBKYhBBCnFWmhgNB75qk1EW//JKGFC81rEnYuzpJYDoP6sRVGwqFMlwTITLD4/FgGEamq9HPQNdlJBIB4PCRY6TSF/6bt76uDoCNe+vxrPz0gl//8e7jAKzaepimUOKKev1g/GwFPHDLBEaV5F/w63cfbeH3G2ou+vUH69t566M9lzSkmElOh4PNn35KaWnpOcsNxevyamYodSkZfnioq6sb8I0rxNWsq6sLr/fCtxe5nOS6FMPdULwur2YSmM5DOp2moaHhnGk+FApRWlpKbW3tsH8DS1v0dzW0x1D8S3ag6/JqaPfPirTV+RtKbTUUr8urmQzJnQeTyURJScl5lfV6vRm/iIYKaYv+pD0G1/lel9Lu50/a6vxJWw0/pkxXQAghhBBiqJPAJIQQQggxAAlMg8Rut/OP//iPl3Qr6dVC2qI/aY/MkHY/f9JW50/aaviSSd9CCCGEEAOQHiYhhBBCiAFIYBJCCCGEGIAEJiGEEEKIAUhgEkIIIYQYgASmQbJ48WLKy8txOBzMnDmTTZs2ZbpKl+TZZ5/l+uuvx+PxUFBQwD333ENNTU2/MtFolIULF5Kbm4vb7ea+++6jubm5X5njx49z11134XK5KCgo4Pvf/z7JZLJfmbVr1zJ9+nTsdjsVFRUsWbLkcp/eJXnuuecwDIMnnnii77Hh2hZD2dV2TQ7ko48+Yt68eRQXF2MYBsuXL+/3vFKKZ555hqKiIpxOJ7Nnz+bAgQP9ynR0dDB//ny8Xi/Z2dl861vfoqenp1+ZHTt2cMstt+BwOCgtLeVf//VfL/epDSr5bBMXTYlLtnTpUmWz2dSrr76qdu/erR555BGVnZ2tmpubM121izZnzhz12muvqV27dqnq6mp15513qrKyMtXT09NX5rHHHlOlpaVq9erV6tNPP1U33HCDuvHGG/ueTyaTavLkyWr27Nlq27Zt6v3331d5eXnqqaee6itz+PBh5XK51JNPPqn27NmjXnrpJWU2m9XKlSs/0/M9X5s2bVLl5eVqypQp6rvf/W7f48OxLYayq/GaHMj777+v/uEf/kEtW7ZMAeqdd97p9/xzzz2nfD6fWr58udq+fbv60pe+pEaNGqUikUhfmb/+679WU6dOVZ988olat26dqqioUA899FDf811dXaqwsFDNnz9f7dq1S73xxhvK6XSqV1555bM6zUsmn23iYklgGgQzZsxQCxcu7Ps+lUqp4uJi9eyzz2awVoOrpaVFAerDDz9USikVDAaV1WpVv/3tb/vK7N27VwFqw4YNSin9AW4ymVRTU1NfmV/84hfK6/WqWCymlFLqBz/4gZo0aVK/n/XAAw+oOXPmXO5TumDd3d1q7NixatWqVeq2227rC0zDsS2GuuFwTZ7LnwemdDqtAoGAev755/seCwaDym63qzfeeEMppdSePXsUoDZv3txX5g9/+IMyDEPV19crpZT6+c9/rvx+f997VimlfvjDH6rx48df5jO6fOSzTZwvGZK7RPF4nC1btjB79uy+x0wmE7Nnz2bDhg0ZrNng6urqAiAnJweALVu2kEgk+p33hAkTKCsr6zvvDRs2cM0111BYWNhXZs6cOYRCIXbv3t1X5vRjnCwzFNtu4cKF3HXXXWfUdzi2xVA2XK7JC3HkyBGampr6tYnP52PmzJn93qPZ2dlcd911fWVmz56NyWRi48aNfWVuvfVWbDZbX5k5c+ZQU1NDZ2fnZ3Q2g0s+28T5ksB0idra2kilUv0uHIDCwkKampoyVKvBlU6neeKJJ7jpppuYPHkyAE1NTdhsNrKzs/uVPf28m5qaztouJ587V5lQKEQkErkcp3NRli5dytatW3n22WfPeG64tcVQNxyuyQt18rzP1SZNTU0UFBT0e95isZCTk3NB7+MriXy2iQthyXQFxNC3cOFCdu3axfr16zNdlYyora3lu9/9LqtWrcLhcGS6OkKIQTLcP9vEhZEepkuUl5eH2Ww+4w6K5uZmAoFAhmo1eB5//HHee+891qxZQ0lJSd/jgUCAeDxOMBjsV/708w4EAmdtl5PPnauM1+vF6XQO9ulclC1bttDS0sL06dOxWCxYLBY+/PBDfvazn2GxWCgsLBw2bXEluNqvyYtx8rzP1SaBQICWlpZ+zyeTSTo6Oi7ofXylkM82caEkMF0im81GVVUVq1ev7nssnU6zevVqZs2alcGaXRqlFI8//jjvvPMOH3zwAaNGjer3fFVVFVartd9519TUcPz48b7znjVrFjt37uz3Ibxq1Sq8Xi+VlZV9ZU4/xskyQ6ntbr/9dnbu3El1dXXf13XXXcf8+fP7/nu4tMWV4Gq9Ji/FqFGjCAQC/dokFAqxcePGfu/RYDDIli1b+sp88MEHpNNpZs6c2Vfmo48+IpFI9JVZtWoV48ePx+/3f0Znc2nks01ctEzPOr8aLF26VNntdrVkyRK1Z88e9eijj6rs7Ox+d1Bcab797W8rn8+n1q5dqxobG/u+wuFwX5nHHntMlZWVqQ8++EB9+umnatasWWrWrFl9z5+89faLX/yiqq6uVitXrlT5+flnvfX2+9//vtq7d69avHjxFXHr7el3ySk1vNtiKLoar8mBdHd3q23btqlt27YpQL3wwgtq27Zt6tixY0opvaxAdna2evfdd9WOHTvU3XfffdZlBa699lq1ceNGtX79ejV27Nh+ywoEg0FVWFiovv71r6tdu3appUuXKpfLdUUtKyCfbeJiSWAaJC+99JIqKytTNptNzZgxQ33yySeZrtIlAc769dprr/WViUQi6jvf+Y7y+/3K5XKpL3/5y6qxsbHfcY4eParuuOMO5XQ6VV5envre976nEolEvzJr1qxR06ZNUzabTY0ePbrfzxiq/jwwDee2GKqutmtyIGvWrDnrNbtgwQKllF5a4Omnn1aFhYXKbrer22+/XdXU1PQ7Rnt7u3rooYeU2+1WXq9XffOb31Td3d39ymzfvl3dfPPNym63qxEjRqjnnnvuszrFQSGfbeJiGUop9Vn3agkhhBBCXElkDpMQQgghxAAkMAkhhBBCDEACkxBCCCHEACQwCSGEEEIMQAKTEEIIIcQAJDAJIYQQQgxAApMQQgghxAAkMIkhRSnFo48+Sk5ODoZhUF1dnekqCSGEEBKYxNCycuVKlixZwnvvvUdjYyOhUIh58+ZRXFyMYRgsX74801UUQgCNjY187WtfY9y4cZhMJp544olMV0mIy0oCkxhSDh06RFFRETfeeCOBQIDe3l6mTp3K4sWLM101IcRpYrEY+fn5/PjHP2bq1KmZro4Ql50l0xUQ4qRvfOMb/OpXvwLAMAxGjhzJ0aNHueOOOzJcMyGGn1/+8pf85Cc/oa6uDpPp1N/Wd999N7m5ubz66qu8+OKLALz66quZqqYQnxnpYRJDxosvvshPf/pTSkpKaGxsZPPmzZmukhDD1le/+lXa29tZs2ZN32MdHR2sXLmS+fPnZ7BmQmSGBCYxZPh8PjweD2azmUAgQH5+fqarJMSw5ff7ueOOO/j1r3/d99hbb71FXl4en/vc5zJYMyEyQwKTEEKIs5o/fz5vv/02sVgMgNdff50HH3yw3xCdEMOFvOuFEEKc1bx581BKsWLFCmpra1m3bp0Mx4lhSyZ9CyGEOCuHw8G9997L66+/zsGDBxk/fjzTp0/PdLWEyAgJTGJI6+np4eDBg33fHzlyhOrqanJycigrK8tgzYQYHubPn8/cuXPZvXs3Dz/8cL/nTi4s29PTQ2trK9XV1dhsNiorKzNQUyEuL0MppTJdCSFOWrRoEYsWLeLo0aMArF279qwTTBcsWMCSJUs+28oJMQyl0+m+O1cPHTrE6NGj+54zDOOM8ieXAxHiaiOBSQghhBBiADLpWwghhBBiABKYhBBCCCEGIIFJCCGEEGIAEpiEEEIIIQYggUkIIYQQYgASmIQQQgghBiCBSQghhBBiABKYhBBCCCEGIIFJCCGEEGIAEpiEEEIIIQYggUkIIYQQYgASmIQQQgghBvD/AYTiKi33AMVXAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "corr_coef, plot = corr(kp_n10_f80_id42_F1_V1)\n", "corr_coef" ] }, { "cell_type": "markdown", "id": "54338505", "metadata": {}, "source": [ "A high correlation between the constraint and the objective leads to a low feasibility rate (20%) as expected since higher profit items tends to have higher weights leading to fewer feasible solutions. Conversely a low correlation between profit and weight leads to a higher feasibility rate (80%)." ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "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": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 5 }