robotic_cats.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#Herding Robotic Cats\n",
    "####Constructing a single portfolio from hundreds of thousands of autonomous strategies\n",
    "\n",
    "[Jonathan Larkin](mailto:jlarkin@quantopian.com) • Chief Investment Officer • [Quantopian Inc.](www.quantopian.com)\n",
    "\n",
    "This notebook is the companian to a talk I gave at QuantCon Singapore on November 11, 2016."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This presentation is for informational purposes only and does not constitute an offer to sell, a solicitation to buy, or a recommendation for any security; nor does it constitute an offer to provide investment advisory or other services by Quantopian, Inc. (\"Quantopian\"). Nothing contained herein constitutes investment advice or offers any opinion with respect to the suitability of any security, and any views expressed herein should not be taken as advice to buy, sell, or hold any security or as an endorsement of any security or company.  In preparing the information contained herein, Quantopian has not taken into account the investment needs, objectives, and financial circumstances of any particular investor. Any views expressed and data illustrated herein were prepared based upon information, believed to be reliable, available to Quantopian at the time of publication. Quantopian makes no guarantees as to their accuracy or completeness. All information is subject to change and may quickly become unreliable for various reasons, including changes in market conditions or economic circumstances. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import cvxpy as cvx\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import time\n",
    "\n",
    "from scipy.interpolate import griddata\n",
    "from sklearn.decomposition import PCA\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time: 0.97 seconds.\n"
     ]
    }
   ],
   "source": [
    "exch_tickers = ['BAC', 'C', 'HD', 'KO','LOW', 'PEP']\n",
    "\n",
    "tickers = symbols(exch_tickers)\n",
    "num_stocks = len(tickers)\n",
    "start = time.time()\n",
    "data = get_pricing(tickers, fields='close_price',\n",
    "                   start_date='2015-04-04', end_date='2016-04-04')\n",
    "end = time.time()\n",
    "print \"Time: %0.2f seconds.\" % (end - start)\n",
    "returns = data.pct_change().fillna(0.0)\n",
    "returns = returns - np.nanmean(returns, axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "pca = PCA()\n",
    "features = pca.fit(returns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(6, 6)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "features.components_.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0oAAAHtCAYAAAAnXI6SAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n8bTtAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f7694127dd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, min(num_stocks, 3))\n",
    "for i in range(min(num_stocks, 3)):\n",
    "    ax[i].barh(np.arange(num_stocks), features.components_[i], alpha=0.8)\n",
    "    ax[i].set_yticklabels(exch_tickers, fontsize='large')\n",
    "    ax[i].set_title('feature %d' % (i+1), fontsize='large')\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x7f7682374990>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAMoAAAF8CAYAAACOgSR0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nGAqRAEMhEmAoRAL/B98Cju23dnvXAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f7694127890>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(3,6))\n",
    "plt.bar(range(3), features.explained_variance_ratio_[0:3], align='center')\n",
    "plt.xticks(range(3), ['PC1','PC2','PC3']);\n",
    "plt.title('Explained Variance')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1AAAAIACAYAAACM4o1yAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3XlclWX+//HXOYd9R1YBUUQFUUHEDRX3rRptHacsszJr\nmq0mm6Zlpmma1pmW8TdTU5NaNmOZWbaa+45LCoqKCgoKIiiC7CjbOb8//MZooqKi94Hez784576v\n+7zPOdfjnPPhuu7rNtlsNhsiIiIiIiJyUWajA4iIiIiIiLQWKqBERERERESaSQWUiIiIiIhIM6mA\nEhERERERaSYVUCIiIiIiIs2kAkpERERERKSZVECJiBho27ZtjBw5kvj4eKOjtHrvvPMOU6ZMAaCo\nqIjbbruN3r17s337dqZNm8bLL79scML/ef/99xkwYAAPPvig0VGu2Ny5c7n99ttpaGgwOoqIyDWh\nAkpExEDvv/8+ERERbN++vUWOt2/fPtauXdsix2pNduzYwezZs3n11VcBWLx4MXl5eSQnJxMfH8/s\n2bN54oknLvv4c+fOpaam5rzbv/rqKyZOnEh8fDwjRozgT3/6E5WVlefd/6233uK+++7jnXfeuexM\nZ1qxYgVZWVktcqxLNXXqVFxdXfn73/9uyOOLiFxrKqBERAxUXl5OREREix1v4cKFrFu37rLatuYR\nhNdee43bbruNoKAg4PTrGhAQgLu7+wXb2Ww2LnY9+RMnTvDyyy9TXV3d5PZNmzbxzDPP8Pjjj5Oa\nmsrcuXPZsmULr7322nmP2dLv+8yZMy+7gGqJ9/03v/kNc+fOpbCw8IqPJSJi71RAiYgYZNKkSWzb\nto2PPvqIuLg44PTUs0ceeYQhQ4bQp08fpk+fTm5ubmObzMxMpk2bxoABAxqngBUUFADwxz/+kXnz\n5jF//nz69OkDwMiRI3nvvfca25eUlBAdHc3WrVsBmDJlCq+88gqTJ0/mhhtuAKCqqoo//vGPDB8+\nnPj4eCZPnsyuXbvO+zxGjhzJf//7X6ZPn058fDw333wzubm5vPHGGwwcOJDBgwfzwQcfNO5fWVnJ\nE088wZAhQ0hISOC2227ju+++a9z+5JNP8sgjj/C3v/2NAQMGkJCQcMHpd/v27WPbtm3cddddAPz1\nr3/lX//6FwcOHCAuLo5t27YxZcoUnn/+eQD++c9/MmXKFJ577jn69OlDQUEBOTk53H///fTv35++\nffsyZcoUMjIyyM/PZ+jQoQAMHz6cd99995zH9/X15fXXX2fIkCGYTCbCw8MZNmwYe/fuPWffyspK\nYmNjMZlMzJgxg2nTpgGQlpbGlClT6NevH4mJiTzzzDOcOnWqsd3y5cu5+eab6dOnD0OGDOHPf/4z\n9fX1AIwfP579+/czY8YMHnzwQY4cOUJ0dDTp6emN7ZcuXUp0dHTj7ejoaP7zn/8watQo/vSnPwFw\n8OBBHnjgAQYOHEi/fv145JFHOHHiRGObOXPmMHr0aHr37s2IESP4xz/+0bgtPj6eyMhIPv744/O+\nTyIibYUKKBERgyxYsICEhATuuOMO0tLSAHjooYdwcnJiyZIlbNiwgfbt2/OrX/2qsc2vf/1rQkND\nSU5OZvXq1dhsNp599lkA/vKXv9C3b1/uuOMOUlNTm51j8eLFPPzwwyxZsgSAp556iry8PD799FO2\nbNnC4MGDefDBB6mtrT3vMf773/8yY8YMNm3ahMlkYurUqQQGBpKcnMzjjz/OX//6V8rKyoDTBU5G\nRgaLFy9m69atDB8+nF//+tdnHX/Dhg0EBASQnJzMrFmz+Pjjj/n888+bfOwNGzYQHh5OSEgIAI8/\n/jgPPfQQXbp0IS0tjb59+57TJisri/bt25OamkpISAjPPfccQUFBJCcns3HjRuLi4vjTn/5ESEgI\nc+bMAWDdunVMnz79nGNFR0czYsQI4PSI1s6dO1m+fDkTJkw4Z18PDw927tyJzWbj9ddfZ/bs2Rw/\nfpxp06YxZswYtmzZwqJFi8jIyGicjlhQUMBvf/tb7r77blJTU1mwYAGrVq1i7ty5AI3v2+uvv944\nJdBkMp3z2D+87+uvv2bevHk8//zz1NbWMm3aNLp27cq6detYvnw5NTU1PP300wCkpqYyc+ZM3nrr\nLXbs2MGsWbP49NNPz5ouOnDgQJKTk5t8j0RE2hIVUCIidiI9PZ3du3fzxBNP4OHhgZubG7/73e84\ncOBA42jCF198wR/+8AccHBxwc3Nj1KhR7Ny584oeNzIykgEDBgBQWlrKsmXLePTRR/Hz88PJyYlf\n/OIXWK1W1qxZc95jJCUlER0djYuLC4mJiZjNZu68804sFgvjxo2jvr6enJwcAJ555hnmzZuHl5cX\nZrOZG264gfLy8rNG2ry8vLjnnntwcHAgPj6eYcOGsWrVqiYfOyMjg27dul3Scz558iT33ntvY1FR\nXl6Oo6MjDg4OODk58dhjjzF//vyz2lxsqt8XX3xBz549ueuuu7jlllu48847L7j/98f7+uuvCQ4O\n5u6778ZsNhMcHMyDDz7IZ599BkD79u3ZvHkzN910EwAhISH07dv3nPf9zHwXywqnRw6Dg4MBWLNm\nDeXl5Tz22GM4OTnh4+PDI488wpo1aygpKaGiogKTyYSrqytwus+sWbOGYcOGNR4vKiqKzMzMiz6u\niEhr52B0ABEROS0nJwebzdY4mgGnfwibzWaOHDlCjx492LJlC2+99RZZWVnU1dXR0NCAk5PTFT1u\nWFjYORm+nw73fQar1Up+fv55j/H9D3EAV1fXxtEgABcXF4DGRRgOHz7MK6+8wo4dO6iurm78sX/m\nIg0/PD8oLCyscdrhD5WWljae+9RcQUFBODj87yvwN7/5DY899hirV69m8ODBjB07luHDh1/SMW+8\n8UYmTpzI3r17+d3vfkdFRQVPPvnkRdsdOnSI7Ozsxmmc8L/XvKSkBF9fXz755BMWLFhAQUEBVquV\nhoYGkpKSLinfD535vh86dIiqqip69+59VgaLxUJ+fj6JiYkkJSUxfvx4+vTpQ1JSEjfeeONZr7uv\nry8nT56ktrb2ivukiIg9UwElImInnJycsFgsjdP5fujQoUP86le/4qGHHmLOnDm4u7uzcOFCXnzx\nxWY/htVqbfJxv+fs7IzJZOLbb789qwi6GLP57AkNTU0hg9M/yqdPn05UVBRfffUVAQEBHD58mDFj\nxlwwp81mO+8xL4ejo+NZt5OSkli3bh0bNmxg7dq1zJgxg6FDh/LGG29c0nFNJhMxMTH89re/5ZFH\nHuHxxx/HYrFcsI2zszMJCQn85z//aXL7okWLeOONN5g5cyZDhw7FYrHw+OOPU15e3uxcTS0UceZr\n4OzsTPv27c87ygfwj3/8g+zsbNauXcu3337L22+/zQcffEDPnj2bnUNEpC3QFD4RETvRqVMnrFYr\n+/btO+v+I0eOALBnzx5sNhsPPvhg4+py5yu2vufi4sLJkycbb+fk5FywEAkLC8NsNrNnz56z7s/L\ny7uk53I+xcXF5OXlcffddxMQEACcXoL8h5nOnM4Hp0etzhzlOpOPj0/j+VWXq6SkBGdnZ0aNGsVz\nzz3Hm2++yZIlS5pVpLz88sv8/ve/P+u+2tpaLBbLOYVlUzp27MiBAwfOKnIqKysbH3vHjh3ExcUx\nYsQILBYLVquV3bt3n/d434/4nfm+//D1/KFOnTpRWFhISUnJWc+hqKgIOF2AVVRU0LlzZ+69914W\nLFhAjx49+OKLLxr3LykpwcXFRaNPItLmqYASEbETXbp0oW/fvrz44osUFhZSW1vLP//5T26//XZq\na2sJCwujoaGB7du3c/LkST755BP2799PTU1NYwHh6upKXl4eFRUVWK1WIiIiWLduHZWVlRQXF5+1\nGl5TPDw8mDhxIjNnziQnJ4eGhgYWLlzIhAkTGn9MXwlfX1/c3d1JTU2lvr6eLVu28O233wJw7Nix\nxv1KS0v54IMPqK2tJSUlhfXr1zN27Ngmj9mtW7crOvempqaGcePGMW/ePGpra6mrq2PXrl34+fnh\n5eXVWJBkZ2c3uZR5YmIi33zzDcuWLaO+vp7Dhw8za9YsRo4c2axRswkTJmC1Wnn11VepqqrixIkT\nPP744zz11FMAdOjQgZycHIqKijhx4gQvvPACrq6uHD9+vPEYLi4uHDp0iMrKStq1a4e3tzdLly6l\noaGBffv2Nb7G5zNkyBBCQ0N5/vnnKS0tpbKykueff54HHngAgNmzZ3PXXXdx+PBh4HRBXVhYSGRk\nZOMxMjIyiIqKuujzFRFp7VRAiYgY6Ic/sF977TV8fHy47rrrGDJkCKmpqcyZMwcnJydiY2OZPn06\nv/zlLxkxYgSZmZm89dZbhIeHM3bsWCorK7n11lvZtm0bo0ePprS0lIcffpja2lqSkpK45557Ghcq\nON/jAzz99NPExsYyadIk+vfvz8KFC3n33Xfx9/dv1nO40D4Wi4UXX3yRBQsW0L9/f2bPns1f/vIX\nxowZw4wZM9i4cSMA/fr14/jx4yQlJfHggw8yZcoUrr/++iaPnZSURG5u7gXP0bpQRmdnZ958802+\n+OKLxmXX161bx1tvvQVATEwMCQkJTJ06tfG+Mw0bNoxXXnmFN954g4SEBKZMmUJsbCzPPfdcs/J4\neXnx9ttvs2PHDgYPHszEiRPx9vZunJp5++2306NHD8aMGcNtt91GdHQ0Tz/9NEeOHGHq1KkA3HHH\nHbz55pvcf//9mEwmnn32WVauXEnfvn3529/+xs9//vMLvh4Wi4W33nqL0tJSRowYwejRoykpKeHN\nN98E4N5776Vfv37ccccd9O7dm7vvvpvx48fzs5/9rPEY36/YKCLS1plszVmq5yp76aWXSEtLw2Qy\n8dRTT9GrV6/GbfPmzeOrr77CYrHQs2fPZp2QKyIirdeTTz5JSUkJb7/9drPbfF+0/O53v7uKyeR8\n0tLSuPvuu1m+fDmBgYFGxxERuaoMH4HaunUrOTk5zJ8/n+eff54XXnihcVtlZSWzZ8/mo48+Yt68\neRw4cOCKl+sVEZG259FHH2XhwoVnTQOUa2fmzJncfffdKp5E5EfB8AJq06ZNjB49Gjh9XYny8nKq\nqqqA0ytDOTs7U1lZSX19PadOncLb29vIuCIiYofi4+OZNm2aRqAM8MEHH1BdXc0jjzxidBQRkWvC\n8Cl8zzzzDMOHD2fkyJEA3Hnnnbz44ot07NgRgMWLF/PnP/8ZFxcXJk6cyIwZM4yMKyIiIiIiP2J2\ndx2oM+u5yspK3nrrLZYtW4a7uztTp04lMzPzolecT0lJudoxRURERESklUtISLjkNoYXUIGBgWct\njVtYWNh4bZDs7Gw6dOjQOG0vISGB3bt3X7SA+n5f+XFLSUlRPxD1A2mkviCgfiCnqR8IXP6gi+Hn\nQA0ePJilS5cCkJ6eTlBQEG5ubgCEhoaSnZ1NbW0tALt37yY8PNywrCIiIiIi8uNm+AhUfHw8PXr0\n4Pbbb8disfDMM8+waNEiPD09GT16NNOmTWPKlCk4ODgQHx9P3759jY4sIiIiIiI/UoYXUHB6+dkz\nnXkl80mTJjFp0qRrHUlEREREROQchk/hExERERERaS1UQImIiIiIiDSTCigREREREZFmUgElIiIi\nIiLSTCqgREREREREmkkFlIiIiIiISDOpgBIREREREWkmFVAiIiIiIiLNpAJKRERERESkmVRAiYiI\niIiINJMKKBERERERkWZSASUiIiIiItJMKqBERERERESaSQWUiIiIiIhIM6mAEhERERERaSYVUCIi\nIiIiIs2kAkpERERERKSZVECJiIiIiIg0kwooERERERGRZlIBJSIiIiIi0kwORgcQEbFHNpuN8vJy\no2NcMi8vL0wmk9ExRERE2iwVUCIiTSgvL6ckfy+eHu5GR2m2isoqoDve3t5GRxEREWmzVECJiJyH\np4c73t5eRscQERERO6JzoERERERERJpJBZSIiIiIiEgzqYASERERERFpJhVQIiIiIiIizaQCSkRE\nREREpJlUQImIiIiIiDSTCigREREREZFmUgElIiIiIiLSTCqgRESuUM/+4yg8XtzktuNFJ3j6z69y\n3S33MGHS/dx21y9Y8NnXANhsNgaNvpWdu/c27n/02HF69h/HzvR9jfcdyT9K/OAbOHWq5uo+ERER\nEbkoFVAiIlfIZDI1ef/JU6e458HHCA0J4puFc/hqwSz+36vP8smixfxr1n8xmUwM6NubLVt3NLbZ\nsm0H7Xy92Zqy86z7esfG4OLifNWfi4iIiFyYCigRkStks9mavP/zr5bh5+fDL6ZPwWw+/XEbEhzI\ni3/6HbM/WEBVVTWJ/fuwZdv/CqjvtqVx643X8d0Z923ZuoNB/ftc3SchIiIizaICSkTkKtmWuoth\nQwaec3/XLhH4+fqwKz2DwQMT2J62h9q6OgC+S0njjp9OZG/GARoaGhrvSxyQcE2zi4iISNMcjA4g\nInIxNpuN8vLyy2pbWVlJWVnZJbcrKyvDVHMKRyfHJre7urrS9MS9M45RXk47H+8mt/n5+VJWXsHA\nkHiCgvzZsXMPwUEBuLm6EBjgR7cuEexKz8Dby5Pa2jp6xnS75OcgIiIiLU8FlIjYvfLyckry9+Lp\n4X7Jbb2dqqkvz73kdg0VFZitlVid6s7ZdqqmFgjGzdX1gsfw8fGmsKjpxSWKi0to5+sDwMB+8Wz+\nbjsh7YPo37c3AP0S4tiybQc+3l4M6Nf7kvOLiIjI1aECSkRaBU8Pd7y9vS65XWmZx2W1A2ioqcf1\nIkXShSQN6se8jz/nwfsmn3X//gMHKa+opFePKAAGD0zgPx8t4lhhEcOSBgCnC6h/zfovPt5eJOr8\nJxEREbuhc6BERK6SCdeNoqHByqsz/019/enzmfKPFvL0c6/y8/vvbFxVr3/f3uzNOEDarj307xMH\nQK8eURzIOsSu9AwGDVABJSIiYi80AiUicoVMJhNjJk45fcNmA5OJt//+PIkD+jDrzZd57f/N4ic/\nnYajowPOTk7cOelGbp44rrG9p4c7XTp3ovrUKXx8To+WOTo4EBkRzpGCY4SGBBvxtERERKQJKqBE\nRK7Qri1LzrvN18eb55+ZcdFjzJvz93Pum/XmK1eUS0RERFqepvCJiIiIiIg0kwooERERERGRZlIB\nJSIiIiIi0kwqoERERERERJpJBZSIiIiIiEgzqYASkTalZ/9xFB4vPuu+z79exv2//D0AW1N20nvQ\nDUyYdD/X33ovY2+cwjPPv3FOGxEREZGmqIASkTbFZDJd9P6Q9oF8tWAWiz99j68XziE4KIDJ9z1M\naWn5tYopIiIirZQKKBFpU2w22yXt7+ToyC+m30W/PrHM/ejTq5RKRERE2goVUCLS5jWnphqeNJDv\ntqVd/TAiIiLSqjkYHUBEpKXd8/PHsFgsANTV1nKqppaukZ0u2Mbd3Y3Kyqqz7quorG5y35MnT2Gu\ndaSutq5F8raUisoqfL2MTiEiItK2qYASkTZn7juvEuDvB0BObi7bd+7jmyWrLtgmv+Ao7dr5NN72\n8vIEQpvc11pTgck5CAcv7xbL3BJ8vcDLSxWUiIjI1aQCSkTanEs8DQqAZSvXM2hAQuNtk8mEt/f5\nixEHL2+8ve2ngFq8eDGxsbF2lUlERKQt0jlQIvKjc+ZCE3X19fy/f73PkYJjTP7pRANTXZnrr7+e\n9PR0Nm3aZHQUERGRNk0jUCLSppxvGfMzHT12nAmT7sdmtVJVfZKB/eP54N+v4+7udg0SXj3jxo1j\nz549LFy4kFtuuQWz+dz/kVmtVlat38TB/GLq6htwdLAQEeLHyKTEJvcXERGRs9lFAfXSSy+RlpaG\nyWTiqaeeolevXo3bjh49yqOPPkp9fT0xMTE8++yzxgUVEbu3a8uSc+676SdjueknYwHolxDL9uRv\nrnWsayYmJobQ0FA++OADbrzxRnx9fQGoqanhw8+XkJZzgmrX9ji5tjvdoAa27izn6y1zievYjsk3\njcfZ2dnAZyAiImLfDP9349atW8nJyWH+/Pk8//zzvPDCC2dtf/nll5k2bRoLFizAYrFw9OhRg5KK\niLQO3t7eTJ06ldWrV7Nr1y5KSkv5w8y5bC3zob5dV5xcPc7a38nVk/p2Xdla5sMfZs6lpLTUoOQi\nIiL2z/ACatOmTYwePRqAyMhIysvLqao6vZSwzWYjJSWFkSNHAvDHP/6R4OBgw7KKiLQWJpOJW265\nhfLycu5/9BmqfbtjNlsu2MZstlDt250X/72Ampqaa5RURESkdTG8gCoqKqJdu3aNt319fSkqKgLg\nxIkTuLm58cILLzB58mRef/11o2KKiLRKmXlFeHQfTubmpdTXXbwoMplMVPlE8eHn506FFBERETs5\nB+pMZ66OZbPZKCws5J577iEkJIQHHniAtWvXMmzYsIseJyUl5WrGlFZC/aBtqKysxNupmtIyj4vv\n3ISc3NwWzVNRUUlZ7Qk8PC4vz7VitVpZs+MAluCehPZIZN/mFQR0jMbT7+Ij+WsOHqBn561tbmEJ\nfSYIqB/IaeoHcrkML6ACAwMbR5wACgsLCQgIAE6PRoWGhhIWFgZAYmIiBw4caFYBlZCQcNF9pG1L\nSUlRP2gjysrKqC/PveB1mc4nJzeXjuHhLZynnAivcLu/5tKKtck4h/TAydUdgJ5JN5C3LxV8fHHz\nanfBtrUhMZSfrGPU0EHXIuo1oc8EAfUDOU39QODyi2jD/7U4ePBgli5dCkB6ejpBQUG4uZ1eSthi\nsRAWFkbu//33OD09nYiICMOyioi0Jgfzi89ZMCIsus9Fiyc4vbBEdn7RRfcTERH5sTF8BCo+Pp4e\nPXpw++23Y7FYeOaZZ1i0aBGenp6MHj2ap556iieeeAKbzUa3bt0aF5QQEZELq6tvMLS9iIhIW2R4\nAQXw6KOPnnU7Kiqq8e/w8HA+/PDDax1JRKTVc3SwwBUspufocOFV+0RERH6MDJ/CJyIiV0dEiB+1\nJysvq23tyQo6h/i3cCIREZHWzy5GoERELqaisury2lVUUlZW3uJZfC99PYtrbmRSIl9vfp96126X\n3NatuoARQ8ZdhVQiIiKtmwooEbF7Xl5eQPfLaltWe4IIr5Zdhc/X6/tM9s1sNhPXyY+tZQ0XvYju\nmazWBuI6+bW5JcxFRERaggooEbF7JpPpspcM9/DwuCrLjZ84ceKsi4Dbq8k3jWf/u29h9fGm8lQk\ncOFCymaz4V6aweSpU69NQBERkVZG/14UEbkMmzdvZt++fUbHuChHJ0c6dq3Bx30PwT7LcXPOAWxN\n7mu1NuBWspenHpiEs7PztQ0qIiLSSmgESkTkMlx//fWsWbOGqqqqJi/GaLVaWbV+Ewfzi6mrb8DR\nwUJEiB8jkxKv6dQ4s8nM2PhbWL3rKwrLC2jnsR0P50xKq+OprT+9SETtyQrcqguI6+TH5KlTVTyJ\niIhcgAooEZHLNHz4cLZu3cr69etJSkoCoKamhg8/X0JazgmqXdvj5Pp/0/xqYOvOcr7eMpe4ju2Y\nfNP4a1aoRAR2o9PI37I3L421e76lrPoEXVzLoM6Go4OFzt38GTFknM55EhERaQYVUCIiV6Bfv36k\np6ezZMkSBgwcyIv/XkCVTxTmdn44/WBfJ1dP6l092VrWwJ6Zc3nqgUn4+vhck5wmk5mYDvFEhfZi\nf8EeokNjr8njioiItDX6d6OIyBXq0aMHERER3PPrJ6jyib7oindms4Vq3+68+O8F1NRcwZVuL4PF\n7KDiSURE5AqogBIRaQEbd+yjXe/r2P/dCmxW60X3N5lMVPlE8eHnS65BOhEREWkpKqBERK6Q1Wol\n7VAx7t5+RPQewr5N39JQX3fRdmazhbRDxVibUXCJiIiIfVABJSJyhVat30S1WwgATi5udBswlswt\ny6k9VX3RttVu7Vm9YfPVjigiIiItRAWUiMgVOphfjJOrR+Nti4Mj0Ynjm9XWydWT7PyiqxVNRERE\nWpgKKBGRK1RX33DOfSazGScXt0tuX1pV3GK5REREpOWpgBIRuUKODhdeda+57U9UHufdFX/ls83v\nU1p1oiWiiYiISAtTASUicoUiQvyoPVl5WW1rT1bQOcQfgONlRzGbLGQW7GbWir+SvG8F9Q31LRlV\nRERErpAKKBGRKzQyKRG36vzLautWXcCIIQMBiArtxQNjfk/3sN7UW+tZv3cJs1e+SvaxjJaMKyIi\nIldABZSIyBUym83EdfLDaj33XKgLsVobiOvkh9n8v49iT1dvbux3F7cPeRA/z0BKqopYsPFdPtsy\nl7LqkpaOLiIiIpdIBZSISAuYfNN43EszsNlszdrfZrPhXprB5JuaXq2vU0BX7hv5KMN73ICjxYnM\n/F3MWvFXNmWsosGqaX0iIiJGUQElItICnJ2deeqBSbiV7L3oSJTV2oBbyV6eemASzs7O593PYnZg\nYLcRTB/9ONGhsdQ11LF2z2Jmr3yNQ4X7W/opiIiISDOogBIRaSG+Pj48//BU+nmX4lCcSe3JirO2\n156swKE4k37epTz/8FR8fXyadVwvNx9u6n83Pxv8AO08AjhReZz5ye/wxXf/peJk2dV4KiIiInIe\nDkYHEBFpS5ydnbn3ZzditVpZvWEz2flF1NU34OhgoXM3f0YMGXfWOU+XIiKwG/eNnMHWA2tJzljB\n3iM7yDq2l8HRY+gbmYTFfGXLqYuIiMjFqYASEbkKzGYzo4YOYlQLH9fB4kBi1ChiOsSzcueXZBbs\nZvXur9mZ8x1jYm+mU2DXFn5EEREROZOm8ImItELebu24ZeA9TBp0P77u/hRXFDI/+R0+/+4DyqtL\njY4nIiLSZqmAEhFpxToHRTNt1GMMi7kOR4sj+47s5N0Vr7AxY6UuwisiInIVqIASEWnlvp/WN330\n74kOjaOuoY51e75l9spXyTq61+h4IiIibYoKKBGRK5B9bB+bM1df8kV0r4bTq/VN4fbB/7sI7yeb\nZvPp5vcorSo2Op6IiEiboEUkREQuU11DHd+mfkLFqTIy83dxfZ+f4e8VZHQsOgV25b6RM9iWtZ7k\nfcvZX5AVxUUAAAAgAElEQVTOwWMZDOg2gsRuI3GwOBodUUREpNXSCJSIyGVytDgyPv42PF28yS/J\n5b3Vb7ApY5VdjEZZzBYGdB3O9NGP06NDH+qt9STvW376IrzHdRFeERGRy6UCSkTkCkQGd2faqMeI\n7difBms9a/cs5oO1/6CwLN/oaAB4unozoe9kJic9hL9nECVVRczf8A5fb/tIq/WJiIhcBhVQIiJX\nyMXJlev7TOJng6bj5erD0dI83l89kw17l9FgtY+V8ML9I7l35G8ZGjMei9mB3YdTeGf5y6zc+SXV\nNZVGxxMREWk1VECJiLSQiKAopo16jD4Rg7DaGtiwbxnvr57J0ZI8o6MBYDE7MChqNPePeozuob1p\nsNazNWsdby97ifV7l1JTd8roiCIiInZPBZSISAtydnRhbO9buGPIz/Fx9+N4eQFz1/4/1qQvpr6h\nzuh4APh6+HNj/7u4Z8Rv6RwUTW19Dcn7lvP2shfZsn8NdXaSU0RExB6pgBIRuQo6BnThvpGP0i9y\nKDabjc2Zq5iz6nXyig8ZHa1RsE8okwbdz51JvyCsXSdO1lazevfX/HvZy+w4uJkGO1gMQ0RExN6o\ngBIRuUqcHJwZFTuRKUN/iZ9HICcqj/PfdW+yYucX1NbXGB2vUQf/ztw59Jf8NHEagd4hVJwqY8mO\nhcxa8Tf25G3HZrMaHVFERMRuqIASEbnKQv06ce/I35LYbSQmk4ltWeuZtfJVso9lGB2tkclkIjK4\nO/eOeISJ/e7E192fkqoivtw6jzmr3uBAwR5sNpvRMUVERAynC+mKiFwDDhZHhvW4nqjQWBanLqCw\nLJ8FG9+lR4cERvWaiJuzu9ERATCZzMSExRMVEsuunK0k71vO8fICFm6eQ2i7jgyNuY6OAV2Mjiki\nImIYjUCJiFxDwT5hTB3+MMN73ICD2YH0wynMWvFX9hzeblcjPBazhd4RA3lw7BOM7DURVyd3jpzI\n4aMNb/Nx8r8pKDlsdEQRERFDqIASkTbParPy2eb3ycjfZRdFisVsYWC3Edw3agbh/pFU11bx5bZ5\nLNw0h7LqEqPjncXB4kj/LkP5+dgnSeo+DmcHFw4WZjJ3zUw+2zKXovKjRkcUERG5plRAiUibtzdv\nB5kFu1m0ZS4fbXibY6VHjI4EQDuPAO4Y8nOui/8pzo4uZB3by+yVr7L1wHqsdrZwg7OjC4Ojx/Dz\nsU8yoOtwHCyOZObvYtbK1/h620eUVhUbHVFEROSasDz77LPPGh2ipRUUFBASEmJ0DDGY+oHA6X7Q\nq1tv3Fw8KSjJpbiikB2HtlBxsowQ33CcHJwNzWcymQj2CaNXeF/Kqk9QWJbPwcIMso7uJdi3Ax4u\nXobm+yFHByciArvRK7wfDQ31HCs7wrGyfFKzN1F1qoIgn1DDX9Pz0WeCgPqBnKZ+IHD5/UAjUCLS\n5pnNFhI6D+bBMU/QL3IoZpOJtJwtZB3ba3S0Rh4uXtw8YCq3DrwXL1cfjpbmMXfNTNba0QV4z+Tp\n6s3Y3rfwwJjf07NDAlabldSDG3ln2Uus2/Mtp+pOGh1RRETkqtAqfCLyo+Hi5Mao2InERySy/eAm\neoX3NTrSObq270G4fyTr9i4hJSuZTZmryMzfzXV9JhHm18noeOfwcffjJ33vYEC3Eazbs4T9BbvZ\nmLGS7Qc3kRg1mj4Rg3Cw6KtGRETaDo1AiciPTjvPAEbFTsRkss+PQGdHF8bE3sRdQ39BO48AiisL\n+e+6N1m+83O7ugDvmQK8grl14D1MGforwvwiOFlbzapdX/Lv5S+Tkp1st7lFREQulX3+ehARMUhK\ndjJLti+kuqbS6CiE+UVw38hHSew2CpPJRErWBmavfJVDhZlGRzuvUL9O3Jn0C25LvI8Ar/aUnyxl\nedoi3lryAuv2LKHqVIXREUVERK6I5lWIiPyf+oZ6kvcuo7q2ir1HdjA4agwJkYOxmI37qDx9Ad7r\n/u8CvB9TWJbP/OR/E9uxPyN7TsDFydWwbOdjMpnoEhxD56BoMvN38d3+teSX5LIxYwVb9q+mR4cE\n+ncZir9XsNFRRURELplW4ZM2S/1A4NL6gdlsJjI4htLqYorKj3GwMJN9R9LwdmuHr4c/JpPpKqc9\nPw8XL2I79sfB4khe8UGOluax+3AKvh7++HkGGpbrQkwmE/5ewcR27E9EYDdO1p6kqKKQY2VHSD24\nkYKSXDxcvPB2870mr60+EwTUD+Q09QOBy+8HGoESETmDv1cQkwZNJ+voXlbu+pITlcfZlLmKyODu\nRkfDYrYwKGoUUSG9WJy6gCMnDvHp5veICYtnTNzNuDq5GR2xSSaTiTC/CML8IjhReZytB9axK2cr\nWcf2kXVsH0HeofTtkkT30N5acEJEROyevqlERJoQGdydToHdSM3eSJhfJ0NHn37IzzOQO4f+gtTs\nZNamL2ZP3nZyjh/guvif0qV9jNHxLqidRwDjet9KUvdxpB7cSGpWMsfKjvBNynzW7P6G+M6JxEck\n4u7saXRUERGRJqmAEhE5D4vZQr8uSUbHaJLZZKZvZBKRQd35JvVj8ooPsnDzHHqF92VU7I24ONrf\nuVFncnP2YEj0WAZ2HcGevO1sPbCe4+UFbNi7jE0ZK4kJ60PfLkkEeWuKjYiI2BcVUCIil6G6ppJd\nOVvp22UoFrPFsBy+Hv5MTnqIbVkbWJe+mF252zh0fD/Xx08iIijKsFzN5WBxJLZjf3qF9yO3KIut\nB9Zz4OgeduVuZVfuVsL9I+nXZSiRwd0x2+my8yIi8uOiAkpEDHGoMJPsYxnERyTi6+FvdJxLtmLn\nF+zJ20563nauj59EsG+YYVnMJjP9uwwlMiiab1Lmk1+Sy8cb36V3p4GM6PkTnB1dDMvWXCaTiY4B\nXegY0IWSyiK2ZW9gV85WcouyyC3Kwsfdj76RQ+gV3q9VPB8REWm7tAqftFnqB/Ztedoidh9OISV7\nA/klOTg5uFyVle6uVj9wcnQhrzibE5XHSTu0hbqGWsLadTJ0NMrN2Z1e4X1xsDiRV5xNQclh9uZt\nJ9A7BB/3doblulSuTm5EBkUT33kQbs6enKgspKz6BNnHMtievZHqmkraefjjcomLZugzQUD9QE5T\nPxC4/H6gAkraLPUD+9bOwx+rtYHiikJOVB5nb94OduVuo2NAV9xdWm4BgavVD3zd/YjrNID6hnry\nS3LJO3GIjPydxHbsb2gRZTKZ6eAfQbeQnuSfyKW4spDduds4WVtNuH9nQ7NdKgeLI6HtOpIQOYRA\n7xCqTlVwouo4+SU5pGQlU1iWj4eLF16uPs0qvPWZIKB+IKepHwhoGXMRaWXa+4ZzQ0I4I3tOYGfu\nVrYf3MSp2upWNZ3PycGZUbET6R7Wm2+3LyA8oAuODk5GxwIgwKs9dw//DZsyVrIxYwUp2RvIPraP\nGxJuJ8yvk9HxLonZZCYqpBdRIb04WprHtgPr2ZO3g8yC3WQW7Ka9bwf6dxlGVEgvzK2oQBQRkdbJ\nLgqol156ibS0NEwmE0899RS9evU6Z5/XXnuNHTt28J///MeAhCJytbg6uzOg63D6dxlKSWUxjhbH\nc/ZpsNZjs2G31wgKaRfOPSMewWq1Gh3lLBazhSHdx9KlfQ++SfmI4+VHmbfuTfp3HUZS93E4NPFa\n27tgnzB+0vcOhve8gdTsjWw/uJGCksMsS/uMLsExKqBEROSqM/zXyNatW8nJyWH+/PlkZWXx9NNP\nM3/+/LP2ycrKYtu2bTg6tr4vexFpHpPJTDvPgCa37Tm8ndW7v6Z3xEB6RyTi5epzjdNdnMXsgOU8\ni8RV11Ti5uxxbQOdIdgnlKnDH2HDvmVsyVzNlv1ryDq6l9GxN9EpsKthua6Eh4sXQ2PGk9htJLsP\nb8Nms9nN6J+IiLRthq8Ju2nTJkaPHg1AZGQk5eXlVFVVnbXPK6+8wowZM4yIJyJ24NDxA1TXVrEx\nYyX/Wvoii7bMJef4AWw2m9HRLiq3KIu3ljzPxowVNFjrDcvhYHFgeI/ruWvYr2jnEUBRxTHmJ7/D\np5vfp6SyyLBcV8rRwYn4iEH06TzY6CgiIvIjYXgBVVRURLt2/1sdytfXl6Ki/32ZL1q0iMTERNq3\nb29EPBGxAz9JuJ07k35J99DemICM/F18tOFtco7vNzraReUcP0C9tZ51e5bw3qo3yCs+aGie0HYd\nuW/kowyLuQ5HixP7C3Yza+XfWLP7G2rqThmaTUREpDUwfArfD535H+WysjK++OIL5syZQ35+/iX9\ntzklJeVqxJNWRv2gbQmzdMe/fUeOVGZRfOooRbllFB+++HtsZD9ww5+EwBHsObGVoopj/Hfdm4R6\ndKGrTxyOZuOmnDnhw8Cg6zhQtpOCqoNs3r+a1KxNdPGJJcS9c4svJ28v9JkgoH4gp6kfyOUyvIAK\nDAw8a8SpsLCQgIDT50Fs3ryZ4uJiJk+eTE1NDYcPH+bll1/miSeeuOhxExISrlpmaR1SUlLUD9qs\npGbvaS/9YETDWDZmrGRz5mpK647ROy7ukq9jdDUMJon8E7ms2PkF+SU57DnxHSW2Asb3vo0gn1Cj\n47Uoe+kLYiz1AwH1AzntcotowwuowYMH889//pNJkyaRnp5OUFAQbm6nf1SMGzeOcePGAXDkyBGe\nfPLJZhVPIvLjtTs3BRs2enbog8lk+CzlRg4WR4bGjKd7WG+qTpXbRfH0vZB24UwZ9iv25J1erKOg\n5DDvr/47fSOTGNJ9LM6OLkZHFBERsRuGF1Dx8fH06NGD22+/HYvFwjPPPMOiRYvw9PRsXFxCRKQ5\nTtVWs2Ln55yqO8n27I2Mjr3R6EjnCPAKJsAr2OgY5zCZTPTo0IcuwTGs37uUlKwNbM1ax74jaYyK\nvZGokF5tdlqfiIjIpTC8gAJ49NFHz7odFRV1zj6hoaF88MEH1yqSiLRCzo4ujI69iTXp35BfkssH\na/9Be/cIok51xcPFy+h4F9RgbeCL7/5Dn86DDV1a/PRreCM9wxNYuuNTCkoO8/l3HxAZFM2YuJvx\ncfczLJuIiIg9sJ/5LSIiV8hkMtMzPIHpox8nsdtILGYLBVUH+Tpl/sUbG2xnzndkFuxmfvI7LN3x\nKbX1NYbmCfYJY8qwXzM27macHVzIOraPWStfZVPGSkOXYxcRETGaCigRaXOcHV0Y1uN6po9+nEDX\nMIbFjDc60kXFduxHUvfxmE0Wth/cxOyVr5FblGVoJrPJTJ/Og5k+5nFiwuKpb6hj7Z5vmbPqdcOz\niYiIGEUFlIi0WT7ufsQFJNHeN9zoKBdlMTswOHo094x4mEDvEMqqT/Dh+n+RV3zI6Gh4uHgxsd+d\n3D74AXzd/SmuKOTD9f/im5SPOVlbbXQ8ERGRa0oFlIj8KFWdqmDZjs+oPFVudJSzBHqHMHX4wwyO\nHkNkUHdC23U0OlKjToHdmDZqBkOix2IxW9iVu5VZK/5GRv4uo6OJiIhcM3axiISIyLW2fu9Sdhza\nzO7DKQzsNoJ+kUNxdDDuwrZnspgtJHUfh81mtbuV7xwsjgzpPpaYsHgWb19AXvFBFm2ZS3RoHGPi\nbsLd2dPoiCIiIleVRqBE5LwarA3kFR/CZrMaHaXF9esylC7BPaitr2HdniX8e8Urp68hZUfP9XzX\nsTplB9Pm2nkGcGfSQ4yJuxlHixP7jqQxa8XfSD+cis1mMzqeiIjIVaMRKBE5r9zjB/h447t4ungT\nFRpLdGgcoe3C7eoCtZfLzzOQ2xLvJef4AVbu+pLCsny+SZlPe98O+HkGGh3vvMqqS5iz6nXiOw1k\nSPexOFgcDctiMplJ6DyYyKDuLNn+CYeO7+erbR+yN28H43rfiqert2HZRERErhYVUCJyXjX1p/By\n9aH8ZCnbstazLWs9ni7eDI4eQ++IgUbHaxEdA7pwz4hH2J2bQmlVkV0XTwA5x/dTW3eKzftXc+Do\nHm5IuJ32vh0MzeTj3o6fDX6AnTnfsWr3Vxw4uofDK7MZ2XMCsR372900RBERkSuhAkpEzis6NI6o\nkFgKSnLZd2Qn+46kUX6ytE2MQJ3JbDIT27Gf0TGaJbZjf/w8Avkm9WOKKo7xwdp/kNhtBIOjx2Ax\nG/eRbjKZiOs0gM5B0Szd8SkHju7h2+2fsDdvB6NiJxLg1d6wbCIiIi2pbf0KEpEWZzKZCGnXkZG9\nJvDQuKe5e9hviArp1eS+e/N2cLQkr82dA7Ms7TNSszfazflRoX6duHfko/TrMhSbzcbmzDWUVBYZ\nHQsAT1dvbh14LxP73omrkxuHju9n9srX+WrbR5RWnTA6noiIyBXTCJSINNvpYqrpayrVN9SzZMdC\naupOEeDVnqEx4+kSHNPqp28VlR8lNXsjAOmHUxgff5tdjKY4WhwZ1Wsi3dr3oqjiKP5ewUZHamQy\nmYjpEE/HwC4k71vBjoObST+cwr4jO4iPGMSgqFG4OXsYHVNEROSyaARKRFpEXUMtPTok4ObswfHy\nAj7d/B7/WfsPDh3fb3S0K+LnGcRN/afg4eLFkRM5vLfqDdamf0tdQ53R0QDo4B9BfESi0TGa5O7s\nydi4m3lgzOP06NCHBquVbVnreXvZSyTvW05tfY3REUVERC6ZCigRaRGuTm6MjbuZX4x7mtGxN+Lm\n7EF+SS5bMtcYHe2KmEwmokPjuH/074iPSMRqs7IpcyWbMlYYHe2i0g+n2kWh5+Pux4S+k7l35G/p\nHBRNbX0N6/cu5Z1lL5OanUyDtcHoiCIiIs2mKXwi0qIcLI70jUwitmN/tmVtoHNglNGRWoSLoyvj\net9Kjw4JbNi7lP5dhhsd6YIy83fz1bYP8XX35/o+P6ODf4TRkQjyDmHSoPvJLcpize5vyC/JZVna\nIr47sI6hMePpHhrX5hYoERGRtkffVCJyVTg5ODMoahTBvmFNbj9Ve/IaJ2oZYX6duH3Ig7g4uRod\n5YK8XH3w9wyipKqIeevfYnna53YzZS7cP5Ipw37NzQOm0s4jgNKqYr7cOo/318zkYGGm0fFEREQu\nSAWUiFxz5dWlvLnkL3yb+kmbWpntWOkRiisKjY4BQLBvGPeM+C2DokZjNplIyd7A7JWvUVR+zOho\nwOmpkVEhvbh/1GNcF/9TPFy8OFZ6hI+T/8385H/bzesoIiLyQ5rCJyLXXE7RAeob6kjL2cKu3K3E\nduxPYtRIvN3aGR3tsjVYG/g65SNOVB5nQNcRJEaNwtHiaGgmB4sDQ2PGExXSi29SP6am7hRebj6G\nZvohs9lCXKcBxITFk5K9gU2ZqzlUmMnsla8xoOtwBkWNwtHByeiYIiIijVRAicg11yu8L6G+HUnO\nWM6ew9vZcWgzO3O2cl38bfRqJRe0/aH6hjra+4ZzvPwoGzNWkH44lbFxNxMZ3N3oaAT5hDJ1+MOU\nV5fg5OBsdJwmOTo4MbDbSOI6DmBN+mLScrawKXMle/JSGRN7M13axxgdUUREBNAUPhExSDvPACb0\nncz9o39HTFg8JhOE+Rm/0MHlcnZ04fo+k7hr6C8J8GpPWfUJPtk0myXbFxodDQCL2YKvh3+T2+zp\nwseuzu5c1+enTBn6KwK9QyirLmHh5jl8uvl9yqpLjI4nIiKiAkpEjOXnGcjEfnfyi3F/OO8P/NYk\nzC+Ce0Y8wsieE3BycLb7orCuvpa5a2aSdug7uyqkQv06cc/whxnVayJODs7sL9jNrBV/ZXPmKhqs\n9UbHExGRHzFN4RMRu+Du4tnk/YVlBew4tJnEbiPxdPW+xqkuj8VsoX/XYcR0iMfduennZS/25G3n\naGke325fwJ687VwXfxs+7n5GxwJOnx/Vr8tQokPjWLnrC/Yd2cma9MXszk1hbO9bCPePNDqiiIj8\nCGkESkTsWvK+5aRmJ/P2spdYnvY5FSfLjI7UbB4uXphMpnPut1obqK6pNCDRuWI79mdC38m4OrmR\nc3w/s1a+ypb9a7DarEZHa+Tp6s1N/e9m0qDp+Lr7U1RxjA/X/4uvt31EVU2F0fFERORHRiNQApw+\nB6K8vNzoGM3i5dX0j1Jpm4Z0H4PJBPuO7CQlewM7Dm0mrlN/hkSPxc3Zw+h4l2Vb1gaSM1YwtPs4\n4iMSMZsthmUxmUz06NCHiMBurNj5BXvytrN699cEerUnIsi+LoLcOSiKaaNmsDlzNZsyV7H7cAoH\nju5lZK8J9Arvq88FERG5JlRACQDl5eWU5O/F08Pd6CgXVFFZBXTH27t1TOWSKxfg1Z6b+t9NYVkB\nyfuWk5G/k105WxkcPcboaJctvySHmrqTLN/5OWk53zEm9mY6+Bt7rpSbswcT+91JTId4DhXut7vi\n6XsOFkeGdB9Ljw59WJr2GYcKM1mc+jG7c7cxJu5mAryCjY4oIiJtnAooaeTp4Y63t5fRMUSaFOjd\nnpsH3M3x8gIKywrs/tyiC7mx3xRiwtJZsesLCsvymbf+TXp06MP43rcZfs2jLsExdAm2/yXDfT38\n+dmg6aQfTmXlri/JLcpi9spX6RTYjYTOg4kM7o7ZpFnqIiLS8lRAiUirEuDVngCv9k1uq6k7hZOD\ns91P5TKZTHQL6UlEYDc271/N5szVlFeX4mDwhXcvJq/4EO19O2AxcMrhmUwmEz3DE+gcFM2GvUvZ\nlbuVQ4WZHCrMxMfdjz6dBxMb3g8XJ1ejo4qISBuiAkpE2gSbzcbCzXNwMDswqtdE/FvBVC5HByeS\nuo+jV3hfrFarXRd+ReVH+WjDv/D3DOb6hJ8R5B1idKRGbs7ujO19C0NjxpOW8x2p2cmUVhWzateX\nrN+zhF7hfUmIHGJ0TBERaSNUQIlIm1BaVUxhWT41daeYvep1+nQeRFL0WKNjNYu9LBt+ITX1NXi4\neHGs7AhzV/+dxKhRDIoahcVsP18jLk5uDOg6nH5dhnKgYA8p2RvIOX6A1IMbST24ET+XYLyPuhIZ\nFI1J0/tEROQyWZ599tlnjQ7R0goKCggJsZ//jrYGNTU1WGvKcHFxNjrKBdXU1GB29sbFxeWi+7aW\nfpCanUxKVjJ1DXW4u3jg5GDf74G9cnVyI65jf2rrazhakkd+SS5pOVuw4EhUpx5Gx7sslafK+XLr\nhwT7huHqZOwCL16uPsR1GkBN/SnyS3I5XJTN/oJ0wv07291qiCaTCT/PQHqF9yUqtBc2m42iimNU\n1ZWzJ287e/N24OXmSzuPALse9ZOro7V8N8jVpX4gcPn9wH7+dfgjZS/Lh5eVlWGqOYWXtxf6OXFt\n7c1L43BxNrsPpwAQ5B1KRGA3ekcMbBUjE/bEzdmDcb1vJT4ikRU7vyC3KIt6a53RsS7b2vTFHDia\nzqHCDJJixtOvy1BDF0ZwcnBmbNwtRIXE8u32TyitKrb787YCvNozPv42hvW4nsXJn3Gs5hAnKo/z\n6eb36BjQlVG9JhBoR9MRRUTE/qmAMpi9LB/eUFFB3akTnPTyxM1VJ1xfS2N738LBYxkcLMzkcFEW\nx8qOcKzsCNFhcUZHa7UCvUO4Y8jPyTq2l5I8+7hg7eUY2XMCVpuN9MMprN79NRlHdnJ9n0mGn9/V\nMaAL9418lGOlR1pNke/q5EYnr+7cFH8H2w9uZMPeZeQc3897q94grtMAkmLGteqVHUVE5NpRAWUH\n7GX58Epr6/2h2ZoFeAUT4BVM/67DqG+o43DxQXKPZ533JP3Vu78m2CeMjgFdcXO27+t2GclkMtEl\nOIaUIynnbLPZrFSeqsDT1b6vJ+bq7M6EvnfQPSyOpds/Jb8kl7lrZvLQuD8Y/t47OTjTwb+zoRku\nh8VsoW9kEj06JLBh3zJSszey49Bm9ubtYFDUKBIik3Cw6KtRRETOT98SInbEweJIRGA3IgK7Nbm9\npLKILfvX/N8tE8E+oUQERhER1I1w/8hrlrO1Sz+8nSXbP6Ffl2EM7DYCZ8eLn1NnpC7BMYSNjmD1\n7q9xc3I3vHi6EJvNxurdX9MzPMGup8a5OrkxJvYm4jslsnr3V2Qd28fq9G/YfmgzI3r+hG7te+r8\nKBERaZIKKLlkPfuPI7xDCBaLBWuDFU9Pdx755X0M7Bd/znYAbDYwmXjp2cfpGdPtou3l/JwcnRne\n4wYOFmaSV5zN0dI8jpbmceDoHqaNmmF0vFbjWOkR6q31bMpcSVrOFpK6jyWu4wDMdnJ9o6a4OLpy\nXfxPsdlsRke5oD152/nuwFq2ZW1gcPRoBnYbaTfXjWqKv1cQPx10P9nH9rFy15cUVxSyaMtcOvh3\nZlSvGwn2CTU6ooiI2BkVUHLJTCYTc995lQD/0+c+bE9L55cznmHxwvfw8fE6Z/ultpfzc3f2ZGC3\nEQzsNoK6+loOF2dz8FgmXm4+Te5fXFFIcUUhEUFRONr5yf7X0qjYiUSHxbFq15ccOZHD0h2fkZKV\nzE8H3Y+3m6/R8S7ofKMipVXFdnE+Utf/z959x1dZ3/0ff11n5GTvvScJJCFhbwhLQBFREfeqrW1t\nHVXbn7XWetfVu7f33dpaW+vEiRsXgrI3hAAJZBASQvbeOdk51+8PFKUkMUCS65zk83w8eEiu6zrx\nfeLx5Hyu7/f7+QbEMyFiBocL9rIzeyO55cdYNmG11RcikX5xhPvEcPjUPnZmbaS45iSvbf0r48Om\nMC9+mayPEkIIcYZshCHOm6qqfP8m+ISkeEKDAzlyNKvX8+f7eDEwRoMdkX5xLBy/ginRc3u9JrP4\nEB/tf42/r3+MTw68SUHlcasfwRguQZ5h3DT3l6ycejNujp4AuNjbZgFfUHmcF776E19nrKOjq13T\nLHYGE0uSr+a62T/F1dGDyobT+0adqjqhaa6B0On0TIqcxc8ueYjJUXPQKQoZhQd48es/c6RgH6pq\n0TqiEEIIKyAjUGJQdHf3YGd34SMcF/t40TsPJy/83IOobCglu/QI2aVH8HH1Z0nyKoK9wrWOpzlF\nUYgLSiLaP56W9karnsLXn6qmclAU0vJ3kVt2lEuSriImQNu9r8J9YrhjwQPszN5IUU2+TTWcsLdz\nZKM9m1IAACAASURBVNH4K5gQMYOvM9ZxqiqXDUc+4GhRKkuSr7bqtV1CCCGGnhRQ4qLt3H2A2rp6\nJiR994Http89eNYaKE8Pd9b8+38H/HgxOBLDppAYNoUGcy1ZJYc5dHIP1U2VVt2EQAsGvaHP6W+F\n1Xl4u/jhZG+9U7imxaQQ7hPDl4ffp6KhhA/3vUps4HiWJF+t6X9rk9GeReOvoLun26rXQfXFy8WX\na2f+hJzSdDZlfEJpXSGvbv0ryeHTGBucTLBnuM0W3UIIIS6cFFDignxbIKkWC4EB/vzr2SdxsP+u\nk1l/a6B6e/wLf3vqrMeLweXu5MXM2EVMi0mhuLYAT2cfrSPZhI6udj458AZdPV3MjF3E1Jh5VlsI\n+LkHcUvKPaTl72ZH1peU1xdZTda+2oLXNlfh4eRl1UWIoiiMDU4mwi+WnVkbSTu5m8MFezlcsBeT\n0YEovzii/McS5ReHvZ2j1nGFEEIMAymgxAX5oQLph5bZ/NDjxdDQ6wyE+8T0eq6ioZSd2RuYGj2P\nUO8oaeEMdHZ3EOgZTl5FJtuz1pNVcsiqpz/qFB1ToucwJjCBlrZGq27P3t7Vxts7/4mTvQvLJqwi\nwCNU60j9sjc6sDhpJePDp5JZlEZeRRZ1LdVklRwmq+QwiqIj2DOc6IBxRPuPw9PZR/4fEkKIEUoK\nKBuSMHUJW754G1+f04XHFxu38vy/3+CNl/4PT4/TXdjeeOdjPvp0A909PagWC1MnJ3P3z27Fw31w\nNwy92D4E0sfA+hzM30l+RTb5Fdn4ugUyNXoeY4OT0OtG79uEi4Mbq2bcTkFVLhuPfEh1UwVv7niO\neeOWMSN2odbx+uTm6GH13QQbW+vR6w1UNZaxZtvfmRg5g7njlmFvdNA6Wr/83ALxSwxkQeLl1LVU\nk1eRTX5FFsU1JymuPf1n67HP8XDyJsp/LNEB4wjxirSa0UAhhBAXb/R+MrJB37+buf/gEf7y3Mu8\n9q//OVM8/fUfr7D/4BH+/fen8PH2wmKx8Nd/vMptP32Q99/4B3Z2doOeo6/z/7kGCkXhhmtWcP01\nK+SurJVakLAcDycv0k7upqqxjM/T3mHrsc9ZOfUWQrwjtI6nqQjfMdyx8EH2Ht/M/hPbCLHRTYu7\ne7pZd+ANpkTPIcwnWtMsfm6B/Hjhg+zO+ZoDeTs4dHIPuWXHuGzitUT4xWqabaA8nX2YGu3D1Oi5\ntHe2UVB1nLyKLPIrcqg313AwfycH83fiaOfEpKjZTIyYiYOsPxRCCJsnBZQN+bb99Im8An73X8/w\n92ceIzgoAIDGpmbeXPsxH73zwpmpcTqdjvvvvoN9qYf5dP1mVq1cNig5ju7fMKTnhTYcTc7MilvM\ntJgUMosPk5q3nXpzDV4uvlpHswpGvZG545YyKXKWVTeU6M/hgj3kVWSSV5FJQuhkFiWu0HTdjp3B\nxPyE5cSHTGTD4Q8pqy+06vVQ/bG3c2BscDJjg5OxqBbK6grJK8/iREUmtc1V7MzeyL7cLYwPm8aU\n6Lm4O3lqHVkIIcQFkgLKhiiKQkVVNb9++Cme+P0DjI397g5yxtFsAgL8CA0+t71uypzpHDyUMWgF\nlBjZDHojSeFTGR82hbqW6l67uFlUC22d5lG5uWhfxVNHVzuKomBnMA1zooGbEDGTzu5O9hzfxLGi\ng5yqyuXSiauJ9IvTNJevWyA3zfsFRdX5mo+MDQadoiPYK4JgrwjmxV9KUU0++09s42RlDmknd3Go\nYA9jg5KYGpNi9RsMCyGEOJcUUDZEVVUeevS/6ezqora+4axzjU3NePaxzsnby52jmTnDEVGMIIqi\n9Dn6dLIyh4/2rSE2KJEJETMI8Yoc9VMzt2euJ68ii0XjVxITEG+VPw+D3sCsuEWMDU7ii7R3Ka07\nxXt7XuLmub8kSOPGGDpFR7hv7w1ObJmiKIT5RBPmE01VYxn7T2wn+5vGE1klhwn3HcP0mBTCfGKs\n8jUjhBDiXFJA2ZiHH/wFnh5u/PiXDxEbHUF0VDgA7u5uVNXU9vqYmtqGM+ukhBgMVY1lqKqF7JIj\nZJccwdvFj+SIGSSETrL6JgBDocfSTVl9EU1tDXy0/zWi/MayOGlln3tLac3T2Ycb597FgRPbqGgo\nJdAzTOtI/dqV/RXO9q4khU+z6SLD1y2Qyydfz7xxy0jN30H6qf2cqsrlVFUufm5BTItJIS5ovM1O\nYxRCiNFCp3UAcX7GREcwLi6Ge352G/f85r8wm1sBSE4cS2NTM7l5Bec8Zvuu/UyfkjzcUcUINjN2\nET9b8jAzYxfhZHKhprmSTRnryC07pnU0Teh1Bm5JuYfF41diMtiTX5nNS5v+hz3HN59Zu2htdIqO\n6WMWcMWUm6y6KKltrmJ3ztdsOPIBa3e/QIO59xtFtsTV0Z2FiSu4a8nvmDduGU4mFyobS/n04Fu8\n8PWfOJi/i87uDq1jCiGE6IMUUDbqulWXkzB2DA/94b8BcHZ24s7bruehR/+b0rIKAHp6evjLcy+j\nqhaWXTJfy7hiBHJz9GDuuKXctfQRVk69mWj/eMYGj95CXafomBQ1m58s/g3xIRPptnRT31Jt1cUJ\n9N1Vs62zdZiT9M7T2YfLp9yAg50ThdV5vLz5GVLzdqKqFq2jXTR7O0dmxC7k50seZmnyKjydfWhs\nrWdTxjqe3/Aku7K/GhEFoxBCjDQyhc+G/OcHnT88fB/X3XY3L776Dj+5/Xpuu2kVJpMdv7j/UXos\nljP7QL30j//GYJApIWJo6HV64oKSiAtK6vW8xdJDY2s9Hs7ew5xMG872rlw++QYSw6bg4+qvdZwL\nUt9Sw6tb/8LkqNnMjF2MQa/drwpFURgXPIFwnxg2ZXxCVslhNh/9hPauVuaMXaJZrsFk0BtJjpjO\n+PCpnCjPZH/uNsrqC9mV8xW7cr7C09mHSL84ovziCPGOxKA3ah1ZCCFGNSmgbMh/tv92cnTgs/de\nOuvY9d/stSSEtThalMaGIx8wPnQKM+MWWf0Gr4Ml3Kfvhgg9lm6r3qD4VHXuN936NnOiPIvLJl2L\nv3uwppkcTc6smHIjY4OT2ZG1gYmRMzXNMxR0io7YwETGBCRQVJPPoZO7OVV1grqWaupaqjmYvxOj\n3kioTzRRfnFE+sVZ7To7IYQYyaz3N7gQYkRobD09BSm9cD/Hig+SFD6dmbELcbZ31TiZNsrri/lw\n36vMHbeMxNBJKIr1zaSeEDETb5cA1h96l+qmcl7f9jdmxC5kZuxCzQu/mIB4ov3HWf3UyIvx/c59\nPZYeSutOcbLyOCcrc6hqLCO/Ipv8imwAvJx9T49O+ccR7BWp6WihEEKMFvJOK4QYUnPHLSMhZDK7\ncr4iq+QIh07uJuPUfm5OuQc/t3P3LRvpjham0tLexPpD73K4YA+Lxq8kyAq74IV4R/CjBfezPetL\nDubvZH/uVuJDJuLp7KN1tD6Lp6a2BhztnEdUEaHX6Qn1jiLUO4qU+EtpbmvkZGUOJytzOFV1gtqW\nKmpbqkjN34FRb0eYTzSRZ0anZLNeIYQYCiPnt4y4aC3mVnRNzXR1dmkdpU/NLWY8RufAhU3zdPFh\nxZQbmRG7kF3ZG6k31+Jro+uDLtbipJUEeoaxLfMLyuuLeWP734kPmciCxMutbmNio8GOReOvYExg\nAo3mOqsonvqiqhbW7X+dts5WFo2/gij/sVpHGhIuDm4khU8jKXzad6NTFTnkV+ZQ3VROXkUWeRVZ\nAHi5+J5ZOyWjU0IIMXjk3VQA4OrqQlOTL6rJD4Nr7xvyWgMPV3B1lQrKVvm4+nPltFvp6u60yqlr\nw0FRdCSETmJMYAJ7j2/hQN528iuyWZR4hdbR+hTqHQXeUVrH6FdLezPtXW3Um2t4f+/LRPmPZVHi\nFSO6eclZo1MJl9HU1kBB5XHyK3M4VZVLbXMVtc1VpOZ9OzoVQ5R/LBG+cbg5eozoaZBCCDGUpIAS\nwOkpMa6uLhhc3XBzs84CqqSkhOLiYmbMmKF1FHGRjAa7Xo8fzN9Ja4eZyVGzcTQ5D3Oq4WVnMDEv\nfhlJ4VOpba7CweSkdaTzpqoq2SVHiA1K1HxtlIuDG3csfICD+bvYnfM1+RXZnKrKZe64ZUyLSdE0\n23BxdXA/Z3QqvyKbk5XHvxmdyiSvIhMAF3s3grzCCfYKJ8QrEj/3II3TCyGE7bCKAurpp58mPT0d\nRVF4+OGHSUxMPHNu3759/OUvf0Gv1xMREcGTTz6pYVKhpeDgYBobG1m3bh1XXHGF3D0dYbp7utid\ns4m2TjMH8raTFD6NqdHzRnzXPncnL5vtpJZTms6nB9/CJzeASydeQ4BHqKZ59DoD02JSiA+ZyLZj\nX3CsOA3jKG35/f3RqfkJy2lqa+Bkxem1U4U1+TS3N5JTmk5OaTqBHqHcknKP1pGFEMJmaF5Apaam\nUlhYyNq1a8nPz+d3v/sda9euPXP+D3/4A6+//jp+fn7ce++97Nixg7lz52qYWGgpPj4eX19fXn/9\nda699lrs7e3PucZisbBl5152Hkhnf1YRRoOeiEAvFsyZgU43OqeN2QKD3shV025jX+4W8iuzScvf\nxeGTexgXMpFlE1ZpPsIx3CyqhS/S1pIYNqXfluhacrJ3wd3J65tOfX9nSvRc5oxd0ucI43Bxtndl\n+eTrmRg5C38PbduvWwtXB3eSI6aTHDEdVbVQ01xFae0pSmoLbHa/MiGE0Irmn0j27t3LokWLAIiK\niqKpqQmz2YyT0+npLB9++CHOzqen8nh6etLQ0KBZVmEdfHx8uOGGG3j33XdZsGABgYGnO7l1dHTw\n9roNpBfW0eoQQLddFLUdTtABqRlNfL5/DUlhntywcikmk0njZyF6E+IdQYj3HVQ1lrEvdyvZJUdo\nbmsYdcUTQGbxoTN/ksOnMz9hOSbjuTcMtBTqHcUdCx5gZ/ZGUvN2cCBvO7nlx1g988dW0XAi0LP3\nETFVtQCM6nV4Pq7++Lj6kxwxXes4QghhczT/7VFTU4On53etVj08PKipqTnz9bfFU1VVFXv27GHe\nvHnDnlFYH6PRyE033UR6ejqHDx+mvqGBR55dQ2qjO92eMdg5nL1+xs7BhW7PGFIb3Xnk2TXUSyFu\n1XzdAlkx5UZ+eslDLBpvvc0VhtK44AnMHbcUnaLnyKl9vLT5fzhZmaN1rHMYDXYsSLycW1Luxsc1\nAL2ix9XBuqddZhSm8taO56luqtA6ihBCCBukqKqqahng0UcfJSUlhQULFgBwww038PTTTxMW9t2+\nKLW1tdx55508+OCDA2ogkJaWNmR5B1tLSwv6rhqcnRy1jkKLuZUeo/eZotVWZGRk8M76HQTNunZA\n66JUVUVXfoQfr5yHnZ22U43EhStsysHe4IivQ8iIXg/X0tlIZt0+mjrrAJjgk4K3Q4DGqXpnUXvo\n6GnDwWC97yGqqrK3Yj3mriYUFMJc44h0TRiVo5xCCCFg0qRJ5/0YzX9j+Pr6njXiVFVVhY/Pd1M/\nWlpa+MlPfsIDDzxwXt3XLuSHoQVVVWlqatI6xhmurq4292E0I68E/8mXUnJsDzFTFqD7Zq+TVrMZ\nR6feO5tZomaQU1TF7deOztENW2fuaGbrhvfptnQT5BnGovFX9NnAIC0tzWbeD/oyxzKP1LwdnKzK\nZfGsS9HZ4NQzVVU1f29JS0tj8uTJJHTGsz1rPYcL9nGqKZv67gqWTriGCN8xmuYTw2MkvCeIiyev\nAwEXPuiieQE1a9YsnnvuOVavXk1mZiZ+fn44On43GvOnP/2J22+/nVmzZmmYcugoimJVbcPr6+up\nra0lOjpa6ygDYrFYSD9Vi6vXGBxdPMnd/zXh42di79z/z1Sn05N+qhaLxSKNJWyQyWDPgsTL2Z2z\nidK6QtZs+xuJoZOZF38pzvYjb58wnU7PtDHzmRqTonkRciE6utp5b8+LzBizkOiAcVrHwd7OgSXJ\nV5MQOpmNRz6kqrGMrcc+J3z+faN2XZQQQoiB0z/22GOPaRkgICCA/Px8nn32WXbv3s2jjz7Kzp07\nKS0tJTAwkAcffJC6ujo++ugj1q1bR3d3N/Hx8f1+z/Ly8jONBcT5cXBwIC0tDbPZjJ+fn9ZxftDm\nHXs4UmdCb7RDpzfgFRxNcdYBnD39sFhUjP1M0WtX7HDqrCEyLGQYE4vBoNPpCfAIJTn8dEexioZi\nKhpKaW5vJC5o/FnXjqT3g76Kp+qmchyMjlb74T8tfycZRalklRymobWOUO8oDBq0F//P14KrgztJ\nYVMx6O2YFjMPZwfruZklhs5Iek8QF05eBwIu/HWg+QgUwP3333/W17GxsWf+npGRMdxxRr3Fixez\nZ88e9u3bx/TpZ3do+rZFeEFZLV3dPZq3CC8oq8XO4bsmJIqiEDnhdJv7rm5zv4+1c3DhZFkNC4c0\noRhKJqM98xOWkxw+nW2ZXzB37FKtIw07c0czb+14HjcnT5YlX2OVbbunxMxD0enZkbmeY0UHKaw6\nwbKJ1xDpF6d1NHQ6PTNiF2gdQwghhA35wU+8nZ2d5OTkUFdX1+v5Tz/9dNBDCe3NnDkTBwcHtmzZ\nApxuEf7qu59w/zNreC+jmXSzJ1kdPqSbPXkvo4n7n1nDq+9+QkdHx7Dm7Oru0fTxwjp4OHtz5bRb\n8XD21jrKsGtqbcDOYKKyoZQ1255lU8YndHS1ax3rLDpFx9Toudy+4H4CPcJobm/kvT0vUdVYpnW0\nfrV3tpJXnqV1DCGEEFam3wIqIyODBQsWsHLlSubMmcN//dd/0d3dfdY1v//974c0oNBOUlISISEh\nvPPOO1bbItxo0Gv6eGH9zF3NfJX+MW0d/Y9I2qoAjxB+vOjXTI0+vcXDwfydvLT5fyisztM42bm8\nXHy5ad4vSIm/jAkRM/B1s+7pM5uOfsoH+17hs4Nvj9jXjxBCiPPXbwH15z//mWXLlrF582Zefvll\n9u3bx3333cf3O59r3AVdDLHQ0FC2HysiPa/sB9dX6HR6Wj3G8tS/3xu2kaiIQC8621ou6LGdbc1E\nBo6+EYvR5kTDYQ6d3M0LX/+Jg/k76bGMvFFHO4OJBYmXc+v8+/B3D6alrQmTwbo23f2WTtExfcx8\nliRfrXWUfqmqip9bEAa9kcziQ7y0+RmOlx7VOpYQQggr0O8n4uPHj/PrX/+aoKAgpk+fzrvvvsup\nU6d48sknz1xjix2hxMC9vW4DurDphMZP4/jeDVh6uvu9XlEUzO6xvL1uw7DkWzBnBo6tFzYNyLG1\nnPmzp//whcKmRbuNJ8wnhvauNjZlfMJLm/6HrOLDqKpF62iDzt89iFtS7uH6OT+zyrVQA9HUah2b\nXCuKwpToOdyx4AFCvCIxdzTz8YE1fJr6FpYR+NoRQggxcP0WUA4ODmftUeTq6sq///1vNm7cyCuv\nvALICNRI9m2LcJ1Oj72TC9GTF3B830a6O/sfXfp+i/ChptPpSAr3wnKeowoWSw9J4V7SwnwUcLZz\n57pZd3LVtNvwcPKm3lzD+sPv0TpCp2TpFB2h3lG9nrP2D/4VDaW88PXTfJ2+js7u4V1P2RcPZ29u\nmPMzFiddiVFvxGS0t8l9uIQQQgyefrvwpaSk8Ktf/Yrf/va3jBt3eu+OwMBAXnrpJe644w5KS0ul\ngBrBtuzcS6tjIN82AjfYmYidvoS8g9sYM21Rv49tdQxg6659LJw7c8hz3rByKVnPrqHVY+yARkRV\nVcWp4Tg33HrrkGcT1kFRFMYEJhDtP5ajRQfp6GrHyd5F61jD7stD72NRe5ifsNwq98uqbChBVVXS\nTu4ivzKbyyZeS4h3pNaxUBQdkyJnEekbOypfN0IIIc7W72203/zmN3h4ePDBBx+cdTw2NpZ33nmH\noqKic5pKiJHjdIvwsxtG6PSGHyye4LsW4cPBZDLx8J2rcazP/sGRKIulB8f6bB6+czUmk2lY8gnr\nodPpSQqfxtSYeb2eH4nro77V3NZIdslhMosP8eLXf+Zg/i6rm8aYFD6NW1Luxcc1gAZzLW/t/Ceb\nMz6lq6dL62jA6dEoO0Pv7xvtnW3DnEYIIYRW+i2gnJ2d+dvf/sajjz56zrmQkBBefPFFtm3bNlTZ\nhMZsqUW4h7s7T9x7K1PcGjDU5tLZ1nzW+c62Zgy1uUxxa+CJe2/Fw9192LIJ26CqKu/teZHPDr5N\ng7lW6ziDzsXBjTsWPkiUXxwd3e1syljH2zv/ZXXP1d89iNvm38vM2EUoikJG0QHaOq17umVJbQH/\n2PA4e45vottKij0hhBBD56I30vXz8xuMHMIKGQ16uIhlCMPdItxkMnH7tVdgsVjYumsfO/Yfwc8r\nAKNBT+QYb+bPXiJrnkSf6lqqKa4pwKL2kF2STnLENGbGLrLKqW4XysPZm1Uz7uBEeSYbj3xIce1J\n9p/YZnUd8fQ6A3PHLSUmIJ7mtkZcHaz7hkd+RQ5dPZ3syNpA+qkDLEi8nDEBCdJkSQghRqiLLqDE\nyBUR6EVqRvM50/gGorOtmcgx2rQI1+l0LJw7E3cnE5MmTdIkg7A9Xi6+3Ln4/7Er5ysyi9I4dHIP\nRwtTmRV3CdPHzNc63qD5dj1YsFcEu3I2Mm/cpVpH6lOARwgBHiFax/hB8+KXEeYTzeajn1DdVMHH\n+9cQ7juGSyeutvriTwghxPmT2/GiT9IiXIw27k6eLJ90HT9a+AAxAQl09XQxUscQHE1OXJJ0FSaj\nde4X1R9VtXDo5B6rmi4X7hvD7fN/xeLxK7E3OlDVUIpRZ9Q6lhBCiCEgI1CiT9+2CE9t7EGnG/h0\nPGkRLmydj6s/V0+/jbK6QnzcArWOM+xqmioxGe1xcXDTOkqvDhfs5av0j0nL38WlE1cT5BWudSTg\ndJOSSVGzGRucTF1LDQ4mJ60jCSGEGAID/oTb2dnJV199xWuvvXbmWE3N8HRZE9q5YeVSnBqOD7hd\n/ZkW4SuXDnEyIYZeoGcYRv25owiqqlr9nkoXqrunm3UHXuflzc9wrCjNKreq8HcPxsvFl9qWKt7Y\n8Q+2HP3Majr1ATianAm2kqJOCCHE4BtQAXX06FFSUlJ49NFHeeaZZwAoKSlh8eLFHDx4cEgDCm1J\ni3AhzpVTms4b2/9OdVO51lEGXVd3B66OHrR3tfF52jt8tP81WtqbfviBwyjQM4zb5/+K6WMWoAAH\n8rbz6pb/o7G1Xuto/bJYevh4/+ucqj6hdRQhhBAXYUAF1NNPP82NN97I3r17z0zLCg4O5ne/+92Z\ngkqMXNIiXIjvqKrKvhNbKa8v5tUtf2VX9lf0WEbOfngOJieumXEHyyasxmSw50R5Ji9teoac0gyt\no53FoDeSEn8pt6TcjbeL3+kph1beMTGjMJXjZRms3fUC6w+9R1tnq9aRhBBCXIABrYHKzs7mtdde\nQ1GUs9qyXnnllTz99NNDFk5Yj/9sEX6yrIau7h5pES5GHUVRuGH2z9mW+QWHC/ayK+crjpdlsGzC\nagI9Q7WONygURSEpfCoRvmP48vD7FFQdt6qGDd8X4BHKbfN/RVun+bzWamohMWwyrZ0t7M75mozC\nA+RVZHFJ0pXEBSVpHU0IIcR5GFAB5ebmRnNzM15eXmcdLykpwWCQPhSjybctwhdqHUQIDZmM9ixJ\nvpqxwcl8eeh9qpsqWH/oXe5Y+ACKMnJuJLg6urN65o8pqDpOhG+s1nH6ZNAbrLbhxffpdQZmxi4i\nNnA8Xx5+n5LaAtYdeINrZtgR5T9W63hCCCEGaEC/6efMmcODDz7I0aNHASgrK2PTpk388pe/ZNGi\nRUMaUAghrFWodxQ/WnA/U6PnsXTCqhFVPH1LURQi/eJsclPY1o4W3tzxD0prT2kd5SxeLr7cOOfn\nLEm+ipiABCL9rLc4FUIIca4BDR899NBDPPzww6xevRpVVVm4cCE6nY4VK1bw29/+dqgzCiGE1TIa\n7FiQeLnWMTRx6ORuOrs7mRo91yqnz+3L3UpJbQFv7vgH02JScFJ9tI50hqLomBAxk+TwGTZZnAoh\nxGg2oALKycmJZ599loaGBgoLCzGZTAQHB+Ps7DzU+YQQwmZ1dndQXl9MmE+01lEGXWuHma3HPqer\np4usksNcOmE1/h7BWsc6y9xxS1EUhQMntrPvxFacjG6E1AdaVc6+iqe2zlYc7ByHOY0QQoiB+MH5\nJj09PSxdenpPH3d3d5KSkoiLi5PiSQghfsC2zPW8s+tffHnofdq72rSOM6gcTU5cNe023Bw9qGos\nY822Z9ly9DM6uzu0jnaGQW9kfsJybpr7CzycvDF3NfLGjr/T3NaodbR+NbU28MJXT1vdz1MIIcRp\nP1hA6fV6PD092b9//3DkEUKIEcPZ3hW9Tk964X5e3vQMeRVZWkcaVBF+sdyx8EGmRM8FTu/HtOHw\nBxqnOleQVzg/WnA/Ic5jmBQ52+obThTV5NPR1c6BvO38++v/Jv3U/hG7cbMQQtiiAU3hS0pK4je/\n+Q1RUVEEBwdjZ2d31vlHHnlkSMIJIYQtmxm7kJiAeNYfepfy+mI+2PsK8SGTuGziaqtcM3Qh7Awm\nFiauYFzwBL5O/5hZcYu1jtQro8GOOM9JTEyYqHWUH5QQOglPZ2++Sv+YioYSvjz8Pgfzd3HZpGvx\nd7ee6YdCCDFaDaiAOnbsGKGhoXR1dVFQUHDWOVn8KoQQffNx9efmeXdzMG8nO7K+BNQRUzx9X4BH\nCDfPu9vqfyf0la+9sxV7K1pzFOgZxq0p95BVcoTtWV9S21yFQWfUOpYQQggGWEC98cYbQ51DCCFG\nLJ2iY2rMPKL9x+FgctI6zpDpryECYLVNEYpq8vlg7yvMT7jMqrriKYqO+JCJjAlMpLS2AG9XP60j\nCSGEYIAFVGpqar/np0yZMihhhBBiJPN0sZ422sNFVVW+PPQe5Q3FXD75BkK9o7SOdI78imw6uzvY\neOQjcssyuXTiaqtaJ2XUGwn3HdPrOYulZ0SOaAohhDUbUAF18803n3Ps2zt0Op2OzMzMwU0lGVkl\nRgAAIABJREFUhBCjSFVjGWkndzM/YTn2Rget4wyqzu4OWtqbaW5r5O2d/2LGmAXMHnsJeiv60D8/\nYTn+7sFsPPIRBVXHeWnzM1ySdCXjgidYzWhUXz49+DZ6nYH5CZfhbO+qdRwhhBgVBlRA7d2796yv\nLRYLhYWFvP7669xyyy1DEkwIIUYDVVXZeORDSusKOVmZw6UTryWij9EGW2Qy2nPj3LvYnfM1e49v\nZm/uZk5V57Ji8o14OHtrHe+MscHJhHhH8uWh98ivzGHL0c+I9h+HyWivdbQ+NZjrOFGeSY+lm7zy\nTOaMW8LEiJkyIiWEEEPsB9uYA3h4eJz1x8vLi4kTJ/L73/+eP/zhD0OdUQghRixFUVg2YTWBHqE0\ntzXy7u4X2XN8M6qqah1t0Oh1euaOW8oNc36Oq4M75fXFHDm1T+tY53C2d2XVjDtYmryKZROvseri\nCcDdyZMfL3yQKL84Orrb2ZTxCa9u/Sultae0jiaEECPagAqovphMJkpKSgYrixBCjErern7cNPcX\nzB57CQA7sr5ky9HPNE41+EK8I/nRgvuZHjOfOWOXah2nV4qikBwxnWj/cVpHGRAPZ29WzbiDq6ff\njpujB9VN5WSXpmsdSwghRrQBTeF79dVXzznW1tbGjh07iIiIGPRQQggx2uh0embHXYKvayCfpL45\nYjuu2ds5kpJwmdYxLojF0kNFQwmBnmFaRzmLoijEBMQT7juGtPxdTIqarXUkIYQY0S64jbm9vT0R\nERHce++9gx5KiNHk0MndTIycdc5xi6WHenMtzvau2BlMVr+YXQyOMYEJ/HTxQ7g6umsdZdg1mGtx\ncXC3qgYT37c3dys7szcyJWoOc+OXYdRb175MRr2R6WPmax1DCCFGvAEVUFu2bOn1uMVioaGhYVAD\nCTHaNLc19Xq8qa2BFzf9GQCD3oizvStOJhd8XP1ZOmHVOderqgWV03sOCds2Goun9s423t71L5xM\nzlbXYOL7FEUhNX8H+ZXZXDbpOoKsbDSqLxX1JZiM9lb7cxVCCFsyoAJq4sSJHDp06JzjZrOZZcuW\nsX///kEPJsRoMTFyZq/Hu3o6cXfywtzeRFdPFw3mWhrMtXT3dPV6fU1zFa9s/l8cTc6niy17F5zt\nXfF29Wdq9NyhfApCXLSmtgZQVcrri3l1619YNH4liaGTrWrkdVbcIiL9xvB52lpqm6t4c/tzTItJ\nYc64pVY7aganW8mvS30Dc3sTCxIvt6rNgoUQwhb1W0Bt376dHTt20NHRwRNPPHHO+ZKSEnp6eoYs\nnBCjQV8bdvq4BvCzS36Lqqp0dndgbm+mpaP30SqA1o4WVFTMHc2YO5qh8fTxYM/wXguo9s5WqprK\n8XcPxs5gGpTnIoZORX0JB/K2c+nE1RisbOrYYPB1C+BHC+5nw5EPySlNZ/2hdzlZmc3S5FXY2zlq\nHe+MAI9Qbp//K3Zmb+TAie1UNJRY/aivRbUQ6BFKVslhq90sWAghbEm/BZSfnx+KomCxWDh+/Pg5\n5x0cHHjyySeHLJwQ4vSUIZPRHpPRHk8Xnz6vC/OJ5tdX/DetHS20tDedLrjam7C3631j1lPVeaw7\n8DoKCp7OPvi6BeLrFkCodxRBXuFD9GzEhbCoFj49+BZ1LdV0dndw1fTbrP5D+4Wwt3Pkiik3EeUX\nx9cZ68gpzSAxdApR/mO1jnYWg97I/ITljAlIwNnBzepHc+yNDqyYciNjAhPYcPhDCqqO8/LmZ7hs\n0nXEBMRrHU8IIWxOvwVUXFwcjzzyCB0dHTz++OO9XtPS0jIkwYQQ50+v0+Pi4DagO8sKCn5uQVQ1\nlVPbUkVtSxXZpUeYEDGj1wKqo6sdg96AXjegmb9iEOkUHVdOu4W3dvyTvIosdmZtZF78Mq1jDQlF\nUUgMm0KwVwQnKrKsrnj6Plu70RAXlESwV8SZzYItFovWkYQQwiYN6JNQX8VTY2Mjl1xyiayBEsIG\nxQYlEhuUSHdPFzXNlVQ1llHVWE6YT3Sv16fm7WDP8c14u/rh6xpwesTKPRB/t+A+R7nE4PFxDWDl\n1Jt5d8+L7M3djK9bAGODk7WONWQ8nL1tdu1eU1sDJytySAqfZnWjU99uFlxYk0e4T4zWcYQQwiYN\nqIAqLy/nscceIyMjg46OjjPHOzo6CA0NHbJwQoihZ9Ab8XcPxt89uN/rzB3NWNSebwqtMihOA2Dx\n+JWy78wwCfeNYUHC5Ww++gnrD71HqE8UTiYXrWMNu5LaUwR6hlrlNEZVVfkibS2F1XmcKM9k2cRr\ncLZ31TrWWRRFkeJJCCEuwoAKqMceewxVVbnvvvt4/PHHeeyxx0hPT+fEiRM8//zzQ51RCGEFliRf\nTUr8ZVQ3VZwpoqoay/ssvL5OX0djaz1BnmEEeYUR4B6C0WA3zKlHnslRs6k3VxPqPTqLp/L6It7a\n+TxBnmEsn3Qd7k5eWkc6i6IoJIdPp6KhlPzKbF7e/L8sm3ANYwITtI42IDuzN6IoCtOiU+T/VyGE\n6MOACqgjR46wdetWHB0deeqpp1i1ahWrVq3i/fff55///Ce/+93vhjqnEMIKmIz2BHuFEzyAtR95\nFVk0ttaRV5EJnF7H4+sWyPJJ1+Pt6jfESUcuRVG4JOkqrWNoprO7EyeTMyW1Bbyy5f9YNP4KEkOn\nWNVUubHByQR5hfNF2rsUVp/go/2vkRw+nSXJV1tVzv9kbm9mX+4Weiw9pBfsZ178pcSHTECxwpE+\nIYTQ0oDfFe3sTt+JMhqNmM1mAJYvX85nn302NMmEEDbtull3snzS9UyImIGvWyCqqlLRUIKzfe+j\nJkU1+Zjbm4c5pbA1YT7R3LHgAWIDE+ns7mD9off4eP8a2jrMWkc7i6uDO9fN+gkLE69ArzPg4uBu\n1cUTgJO9C9fOuhN/92Ca2xv5PO0d1mz7G2V1RVpHE0IIqzKgEaiEhAT++Mc/8sgjjxAVFcWaNWv4\n6U9/SmZmJqqqDnVGIYQN8nD2xsPZm4TQScDpzTyrGst73dOnq7uTd3b+CxUVZ3tX/NwC8XMPwtct\niNjARKv/4CmGl4PJiZVTbyGz+BBfp39MYU0+Hd0dOJictI52FkXRMSV6DlF+cbg7eWodZ0BCvaO4\nNeUejhUfYnvmeioaStibu4Wrp9+mdTQhhLAaAyqg/t//+3/cfffdWCwW7rrrLn75y1/y/PPP09PT\nw09+8pOhziiEGAHsDKY+p/61dbYS7BVBVWMZLe1NtLQ3kV+Zg7O9K3FB48+5XlUtqKqKTqcf4tS2\nQ1XVUVVoKopCQugkgr0iaGitteoCpb/926yRouhIDJ1MbGAi+3K3MCFiptaRhBDCqgyogBozZgwb\nN24EYN68eXz22WdkZWURHBzM+PHnfrgRQojz4erozo1z70JVLTSY66hsLKWyobTPAqmqsZzXt/8d\nX7cAAjxCCfIMI9AjFHcnr1FVRAC0drSw5djnNJrruHHuXVrHGXbuTp5WXTz1p6DyOJ3dncQGJWod\npVd2BhNzx43M/caEEOJinNeOmJmZmZSWlnLJJZcQHh5OZ2fnUOUSQoxCiqI7M/UvLiipz+vqWqrp\nsXRTXl9MeX0xh07uBiDafxyrZvxouOJaBTuDPSfKM+noaqO6qRwf1wCtI1kFVVXptnRj1Bu1jtKr\ntg4znx18m9ZOM8nh01mYuMKmut7Vt9TQ2FpHuO8YraMIIcSwG1ATiaKiIlasWME111zD/fffD0Bp\naSkLFy7kxIkTQxpQCCH+09jgZO677HGum/1T5o1bRrR/PE4mF7xdeu/uV1ZXxKGTu6loKKHH0jPM\naYeWQW84M80xs/iwxmmsR2reDl7f9iwN5lqto/TK3s6RmXGL0esMHDm1j9e2/ZXKxjKtYw2IqlpY\nf/g91u7+N18efp/2rjatIwkhxLAa0AjU448/TnJyMm+99RazZs0CICgoiGuvvZann36aV155ZUhD\nCiHEf7K3cyDcJ+bMhqCqqvZZHGWXHiE1bwcABp0Bf/dgAj3DGBc8AX+P/jcQtgXxIRNJP7WfrOJD\nzBu3dNS3ne6xdHO0KJXqpgrWbHuWK6fdSqh3lNaxzqIoCpOjZhPqHcknqW9S21zF69ueZUnyKsaH\nTdE6Xr9UVSXCN5ayukLST+3nZEUOSyesIsp/rNbRhBBiWAzot2xaWhoPPfQQLi4uZ60vuPPOOzl2\n7NiQhRNCiIFSFAWDvvd7QsFeEcSHTMTDyZtuSzcldac4kLedqqbyXq9v72qzqQ6jvq6B6HV6mtoa\nqGywjVGMoaTXGbhx7i+I9IujrbOVtbte4GjRQa1j9crXLZDbUu5jQsQMLBaLTazn0un0zIxdyG3z\nf0WARwjN7Y28v/dlNmV8onU0IYQYFgMagXJ0dMRisZxzvKGhgZ6ekTUdRggx8sQGJhIbeHqhfluH\nmbL6Isrqi/oclfg09S1K607h5xaEv3sw/u7B+LkH4ensbZWjOwa9kVDvaGqbK3Fz9NA6jlWwNzqw\nasaP2Hr0c1Lzd/BF2lrGekxhEpO0jnYOo8GOJclXMzlqDl4uvlrHGTAfV39unnc3qXk72J75Jc72\nrlpHEkKIYTGgAmry5Mn88Y9/5KGHHjpzLCcnh6eeeurMlD4hhLAFDiYnovzH9jvdqKW9iY6udopq\n8imqyT9z/JZ59xDoGTocMc+LQW/gqmm30tbVanV7IWlJp+hYOH4Fbk6e7MvdgpeDv9aR+mVLxdO3\ndIqOaTEpRPmNxcvG2rULIcSFGlAB9cgjj/Dzn/+cWbNmoaoq8fHxWCwWJk+ezCOPPDLUGYUQYlj9\naMH9NLc1UtlQSkVjCRX1pVQ3leHj1nuHu/f3voyzvSv+7kH4uQXh4xY47N3fjAY7m+riNpwmR81m\nfNgUjqbb5pTz/Se2EewVQZBnmNZR+uTt2nsDFyGEGIkGVEB5e3vz/vvvk5mZSWFhIXZ2doSHhxMd\nHT3U+YQQQhMuDm64OLgRHTCu3+vaOszkV2QDkP7NMUXR4e3ix23z70Mvm/1aBTuDSesIF6SktoCt\nx75AURRmxi5kZuwim3pNldSewsPZCyeTi9ZRhBBi0PQ5mX/ChAln/p6UdHo/lvj4eC699FIWLVok\nxZMQQgB2RhM3zPk5CxNXkBAyCR9Xf1BVeizdvX7Q7ezuYO/xLRRUHqe1o+W8/33l9UV8tO81unq6\nBiP+qKaqKo2tdVrH6Je/ewhTo+eiqiq7c77mzR3PUddcrXWsAWlsreODva/w6pa/UFxToHUcIYQY\nNH2OQHl4eHDHHXcQERFBd3c3TzzxRJ/f5GKn8T399NOkp6ejKAoPP/wwiYnf7cq+Z88e/vKXv6DX\n65k7dy533XXXRf27hBBiMOl1BkK9o85qSNHV3UlLe1Ov11c2lLE9a/2Zr10c3PBzCybCN4ZJUbPP\nub6srojskiO0d7XR0dXGqeoTdHZ3kJq3g5mxCwf/CY0iu3K+IjVvB1dNv+1MO3xrY9AbWJB4OVH+\nY/kibS3l9cW8uvX/WDn1FqtvG65T9Hi7+lFSW8Dbu/7J/PjLmBI996xuvkIIYYv6HIH685//jIOD\nA7m5uaiqyvHjx3v9k5ube1EBUlNTKSwsZO3atTzxxBM8+eSTZ51/8sknee6553jnnXfYvXs3+fn5\nfXwnIYSwDkaDHR7O3r2ec7BzYFLkbIK9IjDq7WhuaySvIpNT1Xm9Xl/XUk1q/g6OFqWSW36Mzu4O\nxgVPYFpMyhA+g5FPVS3UNVfT2d3B+3teIrfMutdHhflE86MFDxAfMhGT0cEm9i9zcXDj+tk/Y1pM\nCqpqYcuxz/gk9Y0+by4IIYSt6HMEavLkyUyePBmA1atX88YbbwxJgL1797Jo0SIAoqKiaGpqwmw2\n4+TkRHFxMe7u7vj5nV6cOm/ePPbt20dUlHVtiCiEEAPl7erP4qSVAFhUC/UtNVQ2lPbZPS/AI4T5\nCcuxNzpgMjrgYu9KoGeY3MW/SIqiY8WUG3AwOXHo5G4+PvA6l028loRQ62tz/i17Owcun3wDrR0t\nOJqctY4zIHqdnvkJywnwCOWLtLUcLzvGrLjF0vJcCGHTBtRE4r333huyADU1NSQkJJz52sPDg5qa\nGpycnKipqcHT87tNBT09PSkuLh6yLEIIMZx0ig4vF99+21f/0Hlx4RRFx+LxK7E3OrDn+CY+T3sH\nRVGID5modbR+2Urx9H1xQePxdw+iqCYfH9feu1kKIYStGFABNZxUVb2gc/8pLS1tMOIIGyevAwHy\nOhDf6e214IQPMe7JlLTk0VBmJq3K9l4vFtVCaUseQc7R6Kxws+fv6Emr0f7nK+8JAuR1IC6c5gWU\nr68vNTU1Z76uqqrCx8fnzLnq6u+6DVVWVuLrO7A7sZMmWe80DDE80tLS5HUg5HUgzujvtTCJSXR2\nd9hsu/PtmevJKU6jRanliqk34+LgpnWk87Lh8Ad4OHszOWrOkLdpl/cEAfI6EKddaBGt+W2qWbNm\nsXHjRgAyMzPx8/PD0dERgKCgIMxmM2VlZXR3d7Nt2zZmzz63S5UQQghxsWy1eAKI8h+Hi70bJXWn\neHXL/3Gq6oTWkQasqrGMI6f2sfXY57yy5X85VW072YUQo5PmBdSECROIj4/nuuuu46mnnuLRRx/l\n448/ZtOmTQD84Q9/4P777+emm25i+fLlhIVZ707sQgghRp7zmT6ulWCvcG5f8CvCfcfQ2mlm7e5/\nsztnE6pq0TraD/J1C2T1zB/j4eRNbXMVa3e9wOajn9Jj6dY6mhBC9ErzKXwA999//1lfx8bGnvn7\n5MmTWbt27XBHEkIIMcqpqsrWY5+j0+lJib9U6zg/yNHkzOqZP2Z3ztfsztlESe1JVBZgC/0aI/3i\nuGPhg+w/sZVdOV+TmrcDk9Ge2XGXaB1NCCHOYRUFlBBCCGFtqhrLSM3fiapacLRzYmrMPK0j/SCd\nomPO2CUEe4bj5x5k5Q0lzmbQG5gVt5gwnxh253zF1Gjr/3kLIUYn23lnFUIIIYaRn3sQl028FoAt\nxz7jaNFBjRMNXIRfrE22O4fT0xGvnXWnTa9JE0KMbFJACSGEEH1ICJ3EwsQVAKw/9B4nyjM1TnRx\nWjta6Ozu0DrGBbOF9WhCiJFPCighhBCiH1Oi5zJjzEJU1cKOrA1YbKAxQ296LD18tH8Nr2/7G7XN\nVVrHOW+d3R28ueM5skuOaB1FCDHKyRooIYQQ4gfMHbcUk9FEYtgUm1pX9H3mjmZaO1qoa6lmzbZn\nuXTiauKCkrSONWDHitIorSuktK6Q4toCFo2/wmb/WwghbJu88wghhBA/QFEUpo9ZgJPJResoF8zV\nwZ1bU+4lLiiJzu4O1h14gy1HP8Ni6dE62oBMiJjBJUlXotfpOXRyNx/tW0NXd6fWsYQQo5AUUEII\nIcQoYTLac8WUm1iYeHr05kDedo4WpWkda0AURWFi5Cyum/VT7I0O5FVk8s6uf9HR1a51NCHEKCMF\nlBBCCDGKKIrClOg5XD/75ySGTmF82GStI52XEO9Ibpr7S1wdPfB09pFufUKIYSdroIQQQogLoKoW\nVLDZdTgh3hGEeEdoHeOCeLv6cWvKPdgbHVAUW9gqWAgxktjmu74QQgihoZzSDF7a9Aw5JelaRxm1\nnEwu6HVyH1gIMfykgBJCCCHOU1unmdqWKg7kbR9xexM1tzXyaepbtHWYtY5yQWx5nyshhG2QAkoI\nIYQ4TwkhkzAZ7aloKKGxtU7rOINq45EPySo5zFs7n6elvUnrOOelvbOVNdueZVf2VyOusBVCWA8p\noIQQQojzZDTYnVn7ZNAbNU4zuC5JugpvFz9qmit5c8c/aDDbToFYXFtAXXM1u3K+4r09L9LYWq91\nJCHECCQFlBBCCHGeunu6aetsRVF0OJqctY4zqFwd3blhzl34uwfTYK7lrR3/oLa5SutYAxITEM9V\n02/D3uhIQVUuL29+hiMF+2Q0SggxqKSAEkIIMSRa2ps4WZlDXXM1FtWidZxBZe5oBsDJ5GyzXfj6\n42hy4vrZPyPYK4Lm9kZyy45qHWnAYgLi+cmiXzMmIIHO7g42HPmAsrpCrWMJIUYQaV8jhBBiwDq7\nO2hpa6K5vZHmttN/XBzcSAiddM61RTX5fJr6FgB6nQEvF198XP2J8I3t9Xpb4ubowf2XP0l7Z5vW\nUYaMyWjPtTN/QmbxIZLCp2kd57w42btw5bRbySlNp7y+mCCvcK0jCSFGECmghBBCoKoWWjvNNLc1\ngari7xF8zjV5FVl8sPeVc46H+cT0WhB5OvsS6h1Fg7mWprYGqhrLqGosQ6foer2+wVxLg7kOb1c/\nnEwuVr+/j53BNOI3cTUa7EiOmK51jAuiKApjg5MZG5ysdRQhxAgjBZQQQoxSqmqhsDqf9ML9nCjP\npLunC4AgzzBunnf3Odc7m1zR6/Q427vh4uCGyzf/9HEL6PX7+7sHccOcnwPQ3tVGbVMl1U0VuDt7\n9Xp9TmkG2zK/AMDe6ICHszeezj6MDUomOmDcYDxlIc74dvRUCCHOlxRQQggxSlU2lrF29wtnvrY3\nOuDi4IaHs0+v1/u5B/Lgij9d0MiQvdGBIK/wfqdSOZqcCfYMp7q5gvauNsrriymvL8bXNaDXAiq3\n7BhVTWV4OHnj6eyNyeiA7pumDr2NDFlUC6pqQRmBa5aGW2NrPbXNVUT6xWod5YKU1J5i7e4XmB23\nmGkx861+tFMIYV2kgBJCiBEkpzSdRnMdLR3NmNubaWlvwtzRzA1zfo6TyeWsa/3cgojyH4u/ezDj\nw6bi5ujR7/ce6sJjfNgUxodNQVVVzB3N1LfUUNdSQ6BnaK/XHy87SmZx2jnHl0+6vtcpgpm1+9i8\n7l1AQaco6BQdOp2epRNWMS54wjnXbz32OfkV2SiK7ptrdTjYOXLltNswjrDW5eejrbOVd3b9i6bW\nBq6adqtNjg5WNpbS3dPFtsz11LXUsCT5KvQ6+UgkhBgYebcQQogRZEfWBupaqs853tLefE4BpSgK\n18y4Y7iiDZiiKDjbu+Js70qId2Sf140NSsLF3pV6cw315lq6ujuxqD0DWJekYlHV050BLd3QR4fr\nprYGaporzzn+5aH3WDHlxvN4RiOLvdGBaP9xHMzfyccH1nDlVNsroiZFzsLZ5MpnaW+TUXiABnMt\nV027FXs7R62jCSFsgBRQQggxgsSHTKS9sw1nexec7F1xsnfByeSCZx/T8mxZdMC48/rgnug9k9sm\n3Y2qWs4UUBZLDwZ9778KFyRczszYRaen/lksWNQeLKqKu5PnYD0Fm6QoCgsTVwB8V0RNu5Vof9sq\nomKDEnF1vIsP9r5CUU0+7+x+gdtS7pUpnkKIHyQFlBBCjCCz4hZrHcHqKYoOvQJ69NDPVDwXBzdp\nMtCHb4soFZW0/F18vH8NP1rwAF4uvlpHOy8BHiHcmnIvH+57lTlxS6R4EkIMiBRQQgghhDhviqKw\nKPEKUE/vGWWro5yuju7cOv/eEbkhshBiaEgBJYQQQogLoigKi8ZfcebvtkqKJyHE+ZB3DCGEEEJc\nMEVRbLp46o+5vVnrCEIIKyQFlBBCCCHEfzhRnsk/v3qKnNJ0raMIIayMFFBCCCGEGFQN5lp252xC\nVfvoEW8DKhtO7xX1aepb5JYd0zqOEMKKSAElhBBCiEHT3dPFWzufZ2f2BtJO7tI6zgWbFbeYaTEp\nWFQL6w68QX5FttaRhBBWQgooIYQQQgwag97IgoTLAdic8SkFVbkaJ7owiqKQEn8Zk6PmYFF7+Gj/\nGpt9LkKIwSUFlBBCCCEG1djgZGbGLkRFZd2BN2jtMGsd6YJ8u9/VhIgZp5tlMDKbZQghzo8UUEII\nIYQYdHPGLiHUO4qOrjYOFezWOs4FUxSFS5Ku5LaU+wj3jdE6jhDCCkgBJYQQQohBpyg6ZsUtxmS0\nx6Cz7W0nFUWHt6uf1jGEEFbCtt/RhBBCCGG1Qr2j+MXS32NnMGkdRQghBo2MQAkhhBBiSCiKMqKL\np/L6YiyqResYQohhJgWUEEIIIcR5OlaUxuvb/86nqW/S2d2hdRwhxDCSAkoIIYQQ4jy5OXpg1BvJ\nKc3gje1/p8Fcp3UkIcQwkQJKCCGEEEPCYukht+wY7+15kRPlmVrHGVQh3pHcMu8ePJ19qG6q4M0d\nz1HVWKZ1LCHEMJAmEkIIIYQYVE2tDaQX7if91H5a2puA053sYgLiNU42uLxd/bgl5R4+2vcaRTX5\nfLR/DXcu+g06nV7raEKIISQFlBBCCCEGTWF1Hmt3vYCKCoCnsw/JETNIDJ2scbKhYW90YPXMH7Ph\n8AdMjJwpxZMQo4AUUEIIIYQYNEGeYTjZuxDiFUlyxHRCvaNQFEXrWEPKoDeyfPL1WscQQgwTKaCE\nEEIIcV5U1UJhdT6BnqHntCk36I387JLfYtAbNUonhBBDSwooIYQQQvSrq7sTc0cLnd3tFFTlcqRg\nH/XmGpZNuIak8GnnXC/F03cKKo8T5huDTpG+XUKMFFJACSGEEKNQW2crhdV5FNeepK3DTEdXO6He\nkUwbM/+ca7NKDvPl4ffPOubi4Dbip+ZdrKNFB/kibS2TImezOGml1nGEEINECighhBBilMksPsRn\nB9+Bbxo9fMtosOv1egc7J1wd3LEzmPBw9mZ82FSi/OKkYcIPcHVwR6foSTu5ixDvCOKCkrSOJIQY\nBFJACSGEECOQxdJDU1sD7k5e55zzdQtEr9MR5BlOmE8M7k6e2BlMuDl69Pq9xgQmMCYwYagjjzhh\nPtEsSLycTRnrWH/oPXxdA/F08dE6lhDiIkkBJYQQQowAqqpS21xFYfUJTlWfoKgmH6Pejl8s/f05\nU+28Xfy477LH+xxxEoNnUuQsSmpPklOawccHXueWlHswyhoxIWyaFFBCCCGEjevu6ebfX/+JpraG\ns4472jnT9v/bu/P4qAp77+PfmUky2chGICSEJYAQkEVAiCEoJPLgdhXvowEbF6A+gFCiEAXWAAAg\nAElEQVQsvWifh0WUtgq0FVvvtbaXtgqWIpVgUblKuS0oimFLImFHtsQsLNlXEmbm3D94Go2BZMBk\nDkk+79fL18ucOWfOd+LPSb45y9RVyd8e2GC5xWKhPHmIxWLRPcMn61xpvqprK1VaVaQuQd3MjgXg\nO6BAAQDQRly8VCNvm7ds1oY/vr1sXgrw7SSHy6HeXW5Sry43qXfXfgr2DzMpKb7J7u2rh+O/L7u3\nrwJ9g8yOA+A7okABAHADq6mt0qHcTB3JzVR+cY4mj/k/iokY0Gi95Pgn5ecTwJ3xblCdO3U1OwKA\nFkKBAgDgBpRXdEZ7T36qLwsOyulySpKsFquKqwoVo8YF6tun6QEAWgcFCgCAG9D58nwdzdsvyaI+\nEQM0pOco9YmIld3b1+xoANChUaAAAPAQwzBUXlOqgpIcFZR8pYKSr+RvD9CDo59otO7A7sNVU1et\nwT1uVZB/iAlp0ZqcLoe+LDisAVFDOO0SaGMoUAAAeMiBnH36MOMvDZb5evvLMIxGv0T7+vhpzIAJ\nnowHDzEMQ2t3/EYFJV9p8pgZ6nOFa9oA3LgoUAAAeEhESHf5evsrMrRHg384AtGxWCwWxUYNVUHJ\nV/rk8IeK6dqfGQDaENMLlMPh0IIFC5Sfny+bzably5crOjq6wToffvih3nzzTdlsNsXFxenf/u3f\nTEoLAMD16xoUqXn3/YRflqERfRK09+SnOleap2P5WYrtPszsSADcZDU7wObNmxUcHKx169bpqaee\n0sqVKxs8fvHiRb388stas2aN1q9fr7S0NJ08edKktAAAXD+LxUJ5giTJ28tHCbGXT9HcdXy7yWkA\nXAvTC1RaWpomTLj8BjJmzBhlZGQ0eNzX11fvv/++/P39JUkhISEqLS1t9DwAAABtyeCeo2Szeuls\naZ5qaqvMjgPATaafwldYWKiwsMuflG6xWGS1WuVwOOTl9XW0wMDLn21x7Ngx5efn65ZbbjElKwAA\nQEvxtnlr3M33KsgvWF42b7PjtDjDMFReXu6x/QUFBXGEFx7h0QK1YcMGpaam1g+3YRjKyspqsI7L\n5britmfOnNGzzz6rlStXymazNbuv9PT07x4YbR5zAIk5wNeYBUg31hzYFKCqMoeyzh4wO0qLq6ys\nlO1SoQID/Ft/X1XVcnqH1//R3R030hygbfFogUpOTlZycnKDZQsXLlRhYaEGDBggh8NxOZRXw1hn\nz57V008/rV/+8pcaMMC9W32OHDmyZUKjzUpPT2cOwBygHrMAiTnwpLKyMjnKcxQcHOSBfZXLK6in\ngoOD3VqfOYB0/SXa9GugEhIStGXLFknStm3bFBcX12idxYsX64UXXlBsbKyn4wEAAABAPdOvgbr3\n3nu1c+dOpaSkyG63a8WKFZKkVatWKS4uTsHBwcrIyNC///u/13/Q4PTp05WYmGhycgAAgOvncDqU\nfeFLdQmKVJB/iNlxALjJ9AJltVq1fPnyRstnzpxZ/++ZmZmejAQAANAq6hy1OnXuqI7lH9DJs0dU\n56jVuEH3Kn5AktnRALjJ9AIFAADQERzMSddHmRvkdDnql3UNjlKAr/s3PgBgPgoUAACAB4QHRcjp\ncqp7WG/1jxqsAVFDFBLQ2exYAK4RBQoAAKAFFFde0PH8gzpflq8HRj3a6PGI4O6ae88SBfq2/l3p\nALQeChQAAMB1OleWr+P5B3Q8/4AulJ+tX54Q+7/UuVPXButaLBbKE9AOUKAAAACu0wd7/6zCinOS\nJLuXr/pFDlL/yCEK8uOuetdj9Z9TtemDrXI6nXI4nUq47Vb9aM50BQYGmB0NqEeBAgAAuE5De41W\nceUF9Y8aol5d+spm5Ver67XyP/6g9MwD+v1rK9QlPEwXL9Zq2cuv6wfzn9eaVSvNjgfU4/9yAACA\n6zT6pnFmR2gXysortO4v7+nddb9Tl/AwSZKvr13P/b+5StudYXI6oCGr2QEAAABuZNW1Vfpg39uq\nrq0yO0q7lXXgiLpFdFGvnt0bLPfx9ta4sXEmpQKujCNQAAAAV1FccUHvpP1BpVVFchlOTRr1mNmR\n2qWy8gp17sx1Y2gbKFAAAABXkFN4Uu/uWq2Ll2oUEdJdSYPvNztSuxUSEqzz54vMjgG4hVP4AAAA\nvuVgTrrWf7ZKFy/VqF+3QXr09jnq5Bdsdqx2a9iQgSosLtGRYycbLHc4nHr1t2+qtrbOpGRAYxQo\nAACAbzlXlieX4dStfW/X/75tmny87GZHatc6BQbo+48na9HSXygnN1+SVHPxopYu+7WOHT8lu93H\n5ITA1ziFDwAA4FsSB/+Leob31U2RN5sdpcOYM+NxBQcHae78F2QYLlksViWNi9fzC39odjSgAQoU\nAADocEqrinTwq3SdPHtEj97+A3nZGv5KZLVYKU8meHTyJD06eZLZMYAmUaAAAECHUHvpovIqT+ro\njt36quhU/fKT545oQNQQE5MBaEsoUAAAoEP4r/T1Ol58UJLkZfPWgKghGtzzVvXq0s/kZADaEgoU\nAADoEAb1GK4Lxed126Dxiu0+VHZvX7MjAWiDKFAAAKDNMwxDRRXndPLsEV1yXtLYgRMbrRPbfZiq\nzjo0rPdIExICaC8oUAAAoE1yuZzKvnBCJ84e0Ymzh1VWXSzp8ul5o/rdwREmAK2CAgUAANokl2Ho\n3d1rdMl5+UNW/XwC1DciVv0iB8lm5VccAK2DdxcAAHDDMgxDZ0tzFRoYLl9vvwaPedm8NKLPGNms\nNvXtNkiRoT1ktVhNSgqgo6BAAQCAG5YhQxs+/4OShjygwT0bX7uUOPhfTEgFoCPjzzQAAOCGZbVY\nNbTXaDldTrOjAIAkjkABAIAb3PjB95kdAQDqUaAAAADQKioqqzy2n9Agj+wKoEABAACg5QUFBUka\n6JF9hQZd3t/WrVs1YcIEWa1cpYLWQ4ECAABAi7NYLAoODvboPm+77Ta9/fbbSklJkcVi8ei+0XFQ\nzwEAANAuBAUF6a677lJqaqrZUdCOcQQKAACgjTMMQ+Xl5WbHcFtQUNB3PkJUU1ulvJJs9es2qMHy\n8PBwxcfH6/3339cDDzxQv9zlcmnbp2k6nV+kMzlfKeN4nmKiOivp9nhO+cM1oUABAAC0ceXl5SrJ\nP6JOgQFmR2nW5RtLDLyu0/sMw1BecbYyT3+uo3lZkgz94O4l8rcHNlgvOjpatbW1+tvf/qbx48dr\n3aYt2p9drGq/SPn4hana166yqgDtzSrX5t1rNKxXmFIevFt2u71lXiTaNQoUAABAO9ApMEDBwe3z\nVnS1ly7q0FcZyjydpgvlBf9/qUV9IgboYl1NowIlSX379tX5Cxc0dd5ihY24X9awzvL51jo+fp3k\n8OukvWVOHX51jRbNnKzQkJBWfz1o2yhQAAAAuCGdK8tX5qnPdTg3U3WOWkmSv0+AhvaO0y294xQS\n0Pmq29bW1urdHVlyhcfq/Omj6tb35quua7XaVB06UMtWvaMX503lSBSaRIECAADADcPhvKSjeVnK\nPP258oqz65f36NxHw/vEq3/kEHnZmv8Vdt2mLaoKGaCuYTadPXlIF3KOq0vP/ldd32KxqCpkgNZt\n2qLpUya1yGtB+0SBAgAAgOlKKguVeTpNB3L2qqauWpJk9/LVzT1HanhMvLoEdXP7uVwul/afKZK1\n8+UjVN363qzcoxkqzj+tsKiYq25ntdq0/0yRXC4XN5bAVVGgAAAAYAqXy6kTZ48o8/TnOn3+eP3y\niODuGh4Tr0E9hsvH69pPp9v2aZqq/aMaXPMUHTtCdRerm9222j9S2z/bpTvvGHPN+0XHQIECAACA\nR1XUlOlAwW7tP7NbFTVlkiQvq5dio2/RiJh4RYb2/E63OT+dXyQfv7BGy318/Zvd1sevk07lF+rO\n69472jsKFAAAAFqdS4aKKs7pSPZBfZqdJbu/tyQpNCBcw2PiNaTXKPn5NF9w3HHJ4TR1e7RvFCgA\nAAC0CkNSeU2J8otzVFDylWodF1VVWSNJ6h81RCNi4tWrSz9ZLC17vZG3l02q/Y7bA1dBgQIAAECL\nqq6rUkFJjvKLc1RZW1G/PMAnUJHdYnT7yFHqHtGj1fYfE9VZe7Mq5OPX+POhmlNXU6E+/cNbIRXa\nCwoUAABABzJ49F3q2SNKNptNhsulHtFReu7/zlX3qIZ3uZv8xFzV1NTogw1/bPQcq/+cqk0fbJXT\n6ZTD6VTCbbdqzlOPqfJSsfKLc1RSVVi/ro/NrsjQHooK66lg/zCVl5XLy7d1P/A36fZ4bd61Wg6/\nq9+2/Gr8qwuUOPauVkiF9oICBQAA0IFYLBat+c+X1SX88i2+f/2bN7Ts5df1m1d+Wr/OiZNnZLFY\nFNSpk7IOHtHQwQPrH1v5H39QeuYB/f61FQrrHKyvzmfrl6+s0tTZ8zTnx/dLkmwWmyKCoxQZ1kvh\nnbrK2sKn6DXHarVqWO/O2lvmlNXq/ul4LpdTw3p35hbmaBIFCgAAoAMxDEOG8fXXcbfeoo8/3dVg\nnU3/9d/6l7uT5OPjrU2b/7u+QJWVV2jdX97TH/+wTGerT2l/fp4uuS7p7uTh+vJwV4V3ilBUaC91\nDY6Ut83bky+rkZQH79bhV9eoOnSgW3f0MwxDAaXHlDJ1qgfSoS2jXgMAAHRQdZcu6YOP/qHEcfH1\ny1wul7b+Y4fuv/dO3XtXoj75dJccDqfKa8r0X598pKBQPxVcPKbc4jO65LqkYL9QDek1QnNS5mhU\n39vVPayn6eVJkux2uxbNnCz/kiNyuZq+q57L5ZR/yREtmjlZdvu1f+4UOhaOQAEAAHQw0556Vjar\nVYXFpeoaHqZZT6bUP7YzbZ8GDxqgkOAgVdZWaMCgXvrt+t+p3+AInc47qYBOvvLz8VdUaC9FhfVU\noL2Tia+kaaEhIXpx3lSt27RF+88Uqdo/Uj5+X+etq6mQf3WBhvXurJSpUylPcAsFCgAAoIP55jVQ\n6ZkHNHXmM0pd+1uFdw5V6vsfamdaukaNf0CG4ZLLZaiwtFADh92v3lEx+rjqkMYNulfX/zG3nmW3\n2zV9yiS5XC5t/2yXTuUX6kzxV+od0UN9+ocrcexdXPOEa0KBAgAA6GC+eQ3UyOFDFBERrg8/3qJu\nvQO0e1+mfvLrx2W1WuVt81Z4QDf9cM5KjYi+Q94x3vrVy+t09NhJDRzQt/45HA6nfvP7t/TU9x+V\n3e5jwitqntVq1Z13jNGdktLT0zVy5EizI6GNom4DAAB0QJW1FTpx9og2bv+LTp3JltO3Qp9++oVu\nGhitHuExGtknQYmD79ctfeI09rZR+mjrx+oUGKDvP56sRUt/oZzcfElSzcWLWrrs1zp2/NQNW56A\nlsQRKAAAgA6iuq5KFos05ftzJIshGZKXt01TpiZq5JDh+uidNzXt0cka2nNUg+0mJCboP994W49O\neVBzZjyu4OAgzZ3/ggzDJYvFqqRx8Xp+4Q9NelWAZ1GgAAAAOojiygv6xX/OkCR527zVNThK3UJ6\n1H9W0ztrRl1xu6RxY5Q0bkz9149OnqRHJ0/ySGbgRkOBAgAA6CAigrurOOyCuoVEK7xThMc/4BZo\nDyhQAAAAHYS3zbvR6XkArg1/dgAAAAAAN1GgAAAAAMBNFCgAAAAAcBMFCgAAAADcZPpNJBwOhxYs\nWKD8/HzZbDYtX75c0dHRV1x3/vz5stvtWr58uYdTAgAAAMANcARq8+bNCg4O1rp16/TUU09p5cqV\nV1xv586dys3N9XA6AAAAAPia6QUqLS1NEyZMkCSNGTNGGRkZjdapq6vT7373O82ePdvT8QAAAACg\nnumn8BUWFiosLEySZLFYZLVa5XA45OX1dbRVq1bpscceU0BAgFkxAQAAbmgVlVVmR3BLRWWVQoPM\nTgFcP48WqA0bNig1NVUWi0WSZBiGsrKyGqzjcrkafJ2dna1jx45p7ty52r17t9v7Sk9P/+6B0eYx\nB5CYA3yNWYDUPufAMAxVVdVK52vNjuKWwqov638fNEt7nAN4hkcLVHJyspKTkxssW7hwoQoLCzVg\nwAA5HI7Lob5x9Onjjz9WTk6OHnnkEVVUVKikpER//OMf9eSTTza5r5EjR7b8C0Cbkp6ezhyAOUA9\nZgESc2C26upqZWdna+DAgabmYA4gXX+JNv0UvoSEBG3ZskUJCQnatm2b4uLiGjw+depUTZ06VZK0\nZ88e/fWvf222PAEAAODG4+/vr5KSEm3fvl2JiYlmxwGui+kF6t5779XOnTuVkpIiu92uFStWSLp8\n3VNcXJyGDRtmckIAAAC0lDFjxujUqVNav369kpOTZbPZGq3jcrm07dM0nc4v0iWHU95eNsVEdVbS\n7fGyWk2/Bxo6ONMLlNVqveLnOs2cObPRstGjR2v06NGeiAUAAIBW0qdPH3Xt2lVvvfWW/vVf/1Uh\nISGSpNraWq3btEX7s4tV7RcpH7/LNxpTrbQ3q1ybd6/RsF5hSnnwbtntdhNfAToyKjwAAAA8LjAw\nUNOmTdPf//53HTt2TCWlpXru1TXaWxYiR9hN8vELbLC+j18nOcJu0t6yED336hqVlJaalBwdHQUK\nAAAAprBYLHr44YeVm5ur2QteVHXoQFmtjU/p+yar1abq0IFatuod1da2jbsOon2hQAEAAMBUOYWV\nsnYfrhP7tsv41kfaXInFYlFVyACt27TFA+mAhihQAAAAMI3L5dL+M0UKi+ylnjeP1tG0j1RX0/yH\nAlutNu0/U9ToM0SB1kaBAgAAgGm2fZqmav8oSZLdP1Cx8fco++AulV3Ib3bbav9Ibf9sV2tHBBqg\nQAEAAMA0p/OLGtwwwmK16qZRdyowJLzZbX38OulUfmFrxgMaoUABAADANJcczisut3n7fKftgdZC\ngQIAAIBpvL2avutea28PXCsKFAAAAEwTE9VZdTWV17VtXU2F+kQ1f6of0JIoUAAAADBN0u3x8q9u\n/oYRV+JfXaDEsbe1cCKgaRQoAAAAmMZqtWpY785yua7tWiaXy6lhvTvLauXXWXgWEwcAAABTpTx4\ntwJKj8kwDLfWNwxDAaXHlPLg3a2cDGiMAgUAAABT2e12LZo5Wf4lR5o9EuVyOeVfckSLZk6W3W73\nUELgaxQoAAAAmC40JEQvzpuqUcGl8io6rrqaigaP19VUyKvouEYFl+rFeVMVGhJiUlJ0dF5mBwAA\nAACky0eipk+ZJJfLpe2f7dKp/EJdcjjl7WVTn/7hShx7F9c8wXQUKAAAANxQrFar7rxjjO40Owhw\nBVR4AAAAAHATBQoAAAAA3ESBAgAAAAA3UaAAAAAAwE0UKAAAAABwEwUKAAAAANxEgQIAAAAAN1Gg\nAAAAAMBNFCgAAAAAcBMFCgAAAADcRIECAAAAADdRoAAAAADATRQoAAAAAHATBQoAAAAA3ESBAgAA\nAAA3UaAAAAAAwE0UKAAAAABwEwUKAAAAANxEgQIAAAAAN1GgAAAAAMBNFCgAAAAAcBMFCgAAAADc\nRIECAAAAADdRoAAAAADATRQoAAAAAHATBQoAAAAA3ESBAgAAAAA3UaAAAAAAwE0UKAAAAABwEwUK\nAAAAANxEgQIAAAAAN1GgAAAAAMBNFCgAAAAAcBMFCgAAAADcRIECAAAAADdRoAAAAADATRQoAAAA\nAHATBQoAAAAA3ESBAgAAAAA3eZkdwOFwaMGCBcrPz5fNZtPy5csVHR3dYJ2jR49q8eLFslgsSkpK\n0pw5c0xKCwAAAKAjM/0I1ObNmxUcHKx169bpqaee0sqVKxut8/zzz+ull15SamqqTp48qdraWhOS\nAgAAAOjoTC9QaWlpmjBhgiRpzJgxysjIaPB4UVGRampqFBsbK0lauXKl7Ha7x3MCAAAAgOkFqrCw\nUGFhYZIki8Uiq9Uqh8NR/3heXp6CgoK0cOFCpaSkaM2aNWZFBQAAANDBefQaqA0bNig1NVUWi0WS\nZBiGsrKyGqzjcrkafG0YhvLy8vTb3/5WPj4+mjJlisaOHau+ffs2ua/09PSWDY82iTmAxBzga8wC\nJOYAlzEHuF4eLVDJyclKTk5usGzhwoUqLCzUgAED6o88eXl9Hatz587q16+fgoKCJEkjR47Ul19+\n2WSBGjlyZCukBwAAANDRmX4KX0JCgrZs2SJJ2rZtm+Li4ho8Hh0draqqKpWXl8vlcunIkSOKiYkx\nIyoAAACADs5iGIZhZgCXy6XFixcrOztbdrtdK1asUEREhFatWqW4uDgNGzZMWVlZevHFF2W1WjV2\n7FjNnTvXzMgAAAAAOijTCxQAAAAAtBWmn8IHAAAAAG0FBQoAAAAA3ESBAgAAAAA3efQ25i1t+fLl\n2r9/vywWixYtWqQhQ4bUP1ZXV6clS5bo5MmTSk1NNTElPKGpWdi1a5d+9atfyWazKSYmRi+99JKJ\nSdGampqDd955Rxs3bpTNZlNsbKyef/55E5OiNTU1B/+0cuVKffHFF/rTn/5kQkJ4QlNzkJSUpKio\nKFksFlksFr388svq2rWriWnRWpqag7Nnz2r+/PlyOBwaNGiQli5dal5QtLqrzcK5c+f07LPPymKx\nyDAM5ebm6tlnn9V999139Scz2qg9e/YYs2bNMgzDME6cOGFMmTKlweM/+9nPjLVr1xoPPfSQGfHg\nQc3NwsSJE42zZ88ahmEYP/zhD41PPvnE4xnR+pqag5qaGmPatGmG0+k0DMMwnnjiCSMzM9OUnGhd\nzb0f/HP5I488Yjz++OOejgcPaW4OkpKSjJqaGjOiwYOam4N58+YZf//73w3DMIyf/vSnRkFBgccz\nwjPc+dlgGIbhcDiMlJQUo7q6usnna7On8KWlpWnChAmSpL59+6q8vFxVVVX1jz/zzDMaP368Seng\nSc3NwsaNGxURESFJCgsLU2lpqSk50bqamgNfX1+9+eabslqtqqmpUWVlpcLDw82Mi1bS3PuBJP38\n5z/XM888Y0Y8eEhzc2AYhgxuQtzuNTUHhmEoPT1dSUlJkqQlS5aoW7dupmVF63LnZ4Mkvfvuu5o4\ncaL8/PyafL42W6AKCwsVFhZW/3VoaKgKCwvrv27uhaP9aG4WAgMDJUnnz5/X559/rnHjxnk8I1pf\nc3MgSatWrdLEiRN1zz33KDo62tMR4QHNzcFf//pXxcfHKzIy0ox48BB33g9eeOEFpaSk6JVXXvF0\nPHhIU3NQXFwsf39/vfTSS8xBB+DOe4Ikpaam6uGHH272+dpsgfo2/pKEf7rSLBQVFWn27NlaunSp\ngoODTUgFT7vSHMycOVP/+Mc/tGPHDmVmZpqQCp72zTkoKyvTe++9p6lTp3IEooP59n/refPmacGC\nBVq7dq2OHz+urVu3mpQMnvTNOTAMQ+fPn9e0adO0du1aHT58WJ988omJ6eBJV3r//+KLL9SnTx8F\nBAQ0u32bLVBdu3Zt0BzPnz+vLl26mJgIZmluFiorKzVjxgzNnz9f8fHxZkSEBzQ1B6WlpdqzZ48k\nycfHR3fccYcyMjJMyYnW1dQc7Nq1S0VFRUpJSdHTTz+tI0eOaMWKFWZFRStq7ufCpEmTFBYWJqvV\nqjvuuEPHjx83IyZaWVNzEBoaqu7duys6OlpWq1Xx8fE6ceKEWVHRytzpDdu3b9eYMWPcer42W6AS\nEhL0t7/9TZJ06NAhRUREyN/fv8E6/IWxY2huFlasWKHp06crISHBrIjwgKbmwOl0atGiRaqpqZEk\nZWVlKSYmxrSsaD1NzcFdd92lDz74QOvXr9drr72mQYMGacGCBWbGRStpag4qKyv12GOPqba2VpK0\nb98+3XTTTaZlRetpag5sNpuio6OVk5NT/zg/F9ovd3rDwYMHFRsb69bzWYw23DBeeeUV7dmzRzab\nTc8//7wOHz6sTp06acKECZo+fbrOnj2rgoIC9ejRQ9OmTdNDDz1kdmS0kqvNwtixYzV69Gjdcsst\nMgxDFotF999/v5KTk82OjFbQ1HvCpk2btHbtWnl5eSk2Npbb1bZjTc3BP+Xl5WnhwoV66623TEyK\n1tTUHPzpT3/Sxo0bFRAQoIEDB+q5554zOy5aSVNzkJOTowULFsgwDPXv318/+clPzI6LVtTcz4YH\nHnhAq1evbnCt1NW06QIFAAAAAJ7UZk/hAwAAAABPo0ABAAAAgJsoUAAAAADgJgoUAAAAALiJAgUA\nAAAAbqJAAQAAAICbKFAAAFPs27dPSUlJGj58uNlRAABwGwUKAGCK1atXKyYmRpmZmS3yfEePHtUn\nn3zSIs91LQoKCjR16lTFxsaqtLTU4/sHAHgWBQoAYIry8nLFxMS02POlpqZqx44d17Wt0+m8ru32\n7NmjKVOmKDo6WhaL5bqeAwDQtlCgAAAeN3nyZO3bt09vv/22hg0bJkkqLCzUj370I40dO1YjRozQ\njBkzlJOTU7/N8ePH9eSTTyouLk5xcXGaNWuWCgoKJElLlizRn//8Z61fv14jRoyQJCUlJenNN9+s\n376kpESxsbHau3evJOnxxx/Xz3/+c6WkpOi+++6TJFVVVWnJkiUaP368hg8frpSUFB04cOCqr6Oq\nqkqrV6/WpEmTWvYbBAC4YVGgAAAe984772jkyJH63ve+p/3790uSZs+eLR8fH23ZskWfffaZIiMj\nNXfu3Pptnn76aXXv3l07d+7U9u3bZRiGli5dKkn62c9+pltvvVXf+973lJGR4XaODz/8UPPmzdOW\nLVskSYsWLVJubq42btyo3bt3KyEhQbNmzVJdXd0Vt09MTFSfPn2u87sAAGiLKFAAANMdOnRIBw8e\n1IIFCxQYGCh/f3/9+Mc/1okTJ3To0CFJ0nvvvafnnntOXl5e8vf315133qmsrKzvtN++ffsqLi5O\nklRaWqqtW7dq/vz56ty5s3x8fDRnzhy5XC59/PHH3/UlAgDaCS+zAwAAkJ2dLcMwlJiYWL/MMAxZ\nrVbl5eXp5ptv1u7du/X666/r5MmTunTpkpxOp3x8fL7TfqOjoxtleOyxxxpkcJiInNcAAAI9SURB\nVLlcys/P/077AQC0HxQoAIDpfHx8ZLPZ6k/n+7YzZ85o7ty5mj17tt544w0FBAQoNTVVy5Ytc3sf\nLpfrivv9J7vdLovFoo8++khRUVHX/iIAAB0Cp/ABAEzXu3dvuVwuHT16tMHyvLw8SdLhw4dlGIZm\nzZqlgIAASbpq2fonX19f1dTU1H+dnZ3d5J3yoqOjZbVadfjw4QbLc3Nzr+m1AADaNwoUAMB0/fr1\n06233qply5bp/Pnzqqur02uvvaZHHnlEdXV1io6OltPpVGZmpmpqarRhwwZ9+eWXqq2tVVlZmSTJ\nz89Pubm5qqiokMvlUkxMjHbs2KHKykoVFRXprbfeajJDYGCgHnjgAb366qvKzs6W0+lUamqq7r//\nfhUWFl5xm+LiYp07d05FRUUyDEPnz5/XuXPnVFlZ2eLfIwDAjYECBQAwxbePBq1cuVIhISG65557\nNHbsWGVkZOiNN96Qj4+Phg4dqhkzZugHP/iBEhMTdfz4cb3++uvq2bOnJk6cqMrKSj300EPat2+f\nJkyYoNLSUs2bN091dXW6/fbbNW3aND3xxBOyWq1X3b8kLV68WEOHDtXkyZM1evRopaam6ve//73C\nw8Ov+BrmzZun8ePHa/78+bJYLJo0aZLGjx+v1atXt+j3CgBw47AYhmGYHQIAAAAA2gKOQAEAAACA\nmyhQAAAAAOAmChQAAAAAuIkCBQAAAABuokABAAAAgJsoUAAAAADgJgoUAAAAALiJAgUAAAAAbvof\nHmuUWQzyMucAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f7682333310>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "npts = len(features.components_[0, :])\n",
    "x = features.components_[0, :]\n",
    "y = features.components_[1, :]\n",
    "z = features.components_[2, :]\n",
    "# define grid.\n",
    "xi = np.linspace(-1, 1, 100)\n",
    "yi = np.linspace(-1, 1, 100)\n",
    "\n",
    "# grid the data.\n",
    "zi = griddata((x, y), z, (xi[None,:], yi[:,None]), method='cubic')\n",
    "# contour the gridded data, plotting dots at the randomly spaced data points.\n",
    "CS = plt.contour(xi,yi,zi,7,linewidths=2.0,colors='sage')\n",
    "#CS = plt.contourf(xi,yi,zi,15,cmap=plt.cm.Blues, alpha=0.2)\n",
    "#plt.colorbar() # draw colorbar\n",
    "# plot data points.\n",
    "plt.scatter(features.components_[0, :], features.components_[1, :],\n",
    "            c='steelblue', s=250, alpha=0.8, cmap=plt.cm.Blues)\n",
    "plt.xlim(0.1,0.7)\n",
    "plt.ylim(-0.6,0.8)\n",
    "plt.title('feature map (first 3 features)', fontsize='large')\n",
    "\n",
    "for label, x, y in zip(exch_tickers, features.components_[0, :], features.components_[1, :]):\n",
    "    plt.annotate(\n",
    "        label, \n",
    "        xy=(x, y), xytext=(-20, 20),\n",
    "        textcoords='offset points', ha='right', va='bottom',\n",
    "        bbox = dict(boxstyle = 'square,pad=0.75', fc = 'wheat', alpha = 0.4),\n",
    "        arrowprops = dict(arrowstyle = '-', connectionstyle = 'arc3,rad=0'))\n",
    "\n",
    "plt.xlabel('feature 1', fontsize='large')\n",
    "plt.ylabel('feature 2', fontsize='large')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0wAAAHxCAYAAABeVjw1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAgBsMTAAAAADgBgMTAAAAALjx/wHZlkd1njRyegAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f7682282910>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "feature_sets = [[0,1], [0,2], [1,2]]\n",
    "\n",
    "fig, ax = plt.subplots(1, min(num_stocks, 3))\n",
    "for i in range(min(num_stocks, 3)):\n",
    "    ax[i].scatter(features.components_[feature_sets[i][0], :],\n",
    "               features.components_[feature_sets[i][1], :],\n",
    "            c='steelblue', s=150, alpha=0.8, cmap=plt.cm.Blues)\n",
    "    ax[i].set_xlabel('feature %d' % (feature_sets[i][0]+1))\n",
    "    ax[i].set_ylabel('feature %d' % (feature_sets[i][1]+1))\n",
    "    \n",
    "    for label, x, y in zip(exch_tickers,\n",
    "                           features.components_[feature_sets[i][0], :],\n",
    "                           features.components_[feature_sets[i][1], :]):\n",
    "        ax[i].annotate(\n",
    "            label, \n",
    "            xy=(x, y), xytext=(-20, 20),\n",
    "            textcoords='offset points', ha='right', va='bottom',\n",
    "            bbox = dict(boxstyle = 'square,pad=0.75', fc = 'wheat', alpha = 0.4),\n",
    "            arrowprops = dict(arrowstyle = '-', connectionstyle = 'arc3,rad=0'))\n",
    "    \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "features_r = pca.fit_transform(returns)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0QAAAHiCAYAAADIwwz0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIqKe9f8DN6OaA0ngbzUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f768231c450>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(features_r[:,0:2]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from quantopian.pipeline import Pipeline, CustomFactor\n",
    "from quantopian.pipeline.classifiers.morningstar import Sector\n",
    "from quantopian.pipeline.filters import StaticAssets\n",
    "from quantopian.pipeline.data import morningstar\n",
    "from quantopian.pipeline.data.builtin import USEquityPricing\n",
    "from quantopian.pipeline.factors import Returns, RollingLinearRegressionOfReturns\n",
    "\n",
    "from quantopian.research import run_pipeline\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "class DataTable(CustomFactor):\n",
    "    \n",
    "    inputs = [USEquityPricing.close, USEquityPricing.volume]              \n",
    "    window_length = 90\n",
    "    outputs = ('PRICE',\n",
    "               'VLTY20D',\n",
    "               'VLM20DAVG')\n",
    "\n",
    "    def compute(self, today, assets, out, close, volume):\n",
    "        out.PRICE[:] = close[-1]\n",
    "        out.VLTY20D[:] = 16*np.std(np.diff(np.log(close), axis=0), axis=0)\n",
    "        out.VLM20DAVG[:] = np.mean(volume, axis=0)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "pipe = Pipeline()\n",
    "\n",
    "pipe.set_screen(StaticAssets(symbols(exch_tickers)))\n",
    "data_table = DataTable(mask=StaticAssets(symbols(exch_tickers)))\n",
    "pipe.add(morningstar.company_reference.legal_name.latest, 'Name')\n",
    "pipe.add(morningstar.valuation.market_cap.latest, 'MCap')\n",
    "pipe.add(Sector(), 'Sector')\n",
    "\n",
    "pipe.add(data_table.PRICE,'Price' )\n",
    "\n",
    "beta = 0.66*RollingLinearRegressionOfReturns(\n",
    "    target=symbols(8554),\n",
    "    returns_length=5,\n",
    "    regression_length=260\n",
    ").beta + 0.33*1.0\n",
    "\n",
    "pipe.add(beta, 'Beta_SPY')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time: 15.77 seconds.\n"
     ]
    }
   ],
   "source": [
    "run_dt = '2016-08-09'\n",
    "start = time.time()\n",
    "res = run_pipeline(pipe, run_dt, run_dt)\n",
    "end = time.time()\n",
    "res.index = res.index.droplevel(0)  # drop the single date from the multi-index\n",
    "res.MCap = res.MCap / 1e8\n",
    "res.Sector = res.Sector.map(Sector.SECTOR_NAMES)\n",
    "print \"Time: %0.2f seconds.\" % (end - start)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Beta_SPY</th>\n",
       "      <th>MCap</th>\n",
       "      <th>Name</th>\n",
       "      <th>Price</th>\n",
       "      <th>Sector</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Equity(700 [BAC])</th>\n",
       "      <td>1.303602</td>\n",
       "      <td>1543.990</td>\n",
       "      <td>Bank of America Corporation</td>\n",
       "      <td>15.125</td>\n",
       "      <td>FINANCIAL_SERVICES</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Equity(1335 [C])</th>\n",
       "      <td>1.391961</td>\n",
       "      <td>1335.310</td>\n",
       "      <td>Citigroup Inc</td>\n",
       "      <td>45.954</td>\n",
       "      <td>FINANCIAL_SERVICES</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Equity(3496 [HD])</th>\n",
       "      <td>0.959242</td>\n",
       "      <td>1694.460</td>\n",
       "      <td>The Home Depot Inc</td>\n",
       "      <td>136.210</td>\n",
       "      <td>CONSUMER_CYCLICAL</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Equity(4283 [KO])</th>\n",
       "      <td>0.695212</td>\n",
       "      <td>1874.880</td>\n",
       "      <td>Coca-Cola Co</td>\n",
       "      <td>43.430</td>\n",
       "      <td>CONSUMER_DEFENSIVE</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Equity(4521 [LOW])</th>\n",
       "      <td>0.950696</td>\n",
       "      <td>723.239</td>\n",
       "      <td>Lowe's Companies Inc</td>\n",
       "      <td>81.610</td>\n",
       "      <td>CONSUMER_CYCLICAL</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Equity(5885 [PEP])</th>\n",
       "      <td>0.758116</td>\n",
       "      <td>1556.310</td>\n",
       "      <td>PepsiCo Inc</td>\n",
       "      <td>108.130</td>\n",
       "      <td>CONSUMER_DEFENSIVE</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                    Beta_SPY      MCap                         Name    Price  \\\n",
       "Equity(700 [BAC])   1.303602  1543.990  Bank of America Corporation   15.125   \n",
       "Equity(1335 [C])    1.391961  1335.310                Citigroup Inc   45.954   \n",
       "Equity(3496 [HD])   0.959242  1694.460           The Home Depot Inc  136.210   \n",
       "Equity(4283 [KO])   0.695212  1874.880                 Coca-Cola Co   43.430   \n",
       "Equity(4521 [LOW])  0.950696   723.239         Lowe's Companies Inc   81.610   \n",
       "Equity(5885 [PEP])  0.758116  1556.310                  PepsiCo Inc  108.130   \n",
       "\n",
       "                                Sector  \n",
       "Equity(700 [BAC])   FINANCIAL_SERVICES  \n",
       "Equity(1335 [C])    FINANCIAL_SERVICES  \n",
       "Equity(3496 [HD])    CONSUMER_CYCLICAL  \n",
       "Equity(4283 [KO])   CONSUMER_DEFENSIVE  \n",
       "Equity(4521 [LOW])   CONSUMER_CYCLICAL  \n",
       "Equity(5885 [PEP])  CONSUMER_DEFENSIVE  "
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "res"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "y = [12000,-10500,19000,12000,-18000,-12000]\n",
    "res['y'] = y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "expression = features.components_[0:3,:].dot(y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAASQAAAF+CAYAAAAr7Gd9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f7694062bd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(4,6))\n",
    "plt.barh(range(3), features.components_[0:3, :].dot(y), align='center');\n",
    "plt.yticks(range(3), ['feature 1','feature 2','feature 3']);\n",
    "plt.title('Portfolio Feature Expression', fontsize='large');\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Beta_SPY</th>\n",
       "      <th>MCap</th>\n",
       "      <th>Name</th>\n",
       "      <th>Price</th>\n",
       "      <th>Sector</th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Equity(700 [BAC])</th>\n",
       "      <td>1.303602</td>\n",
       "      <td>1543.990</td>\n",
       "      <td>Bank of America Corporation</td>\n",
       "      <td>15.125</td>\n",
       "      <td>FINANCIAL_SERVICES</td>\n",
       "      <td>12000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Equity(1335 [C])</th>\n",
       "      <td>1.391961</td>\n",
       "      <td>1335.310</td>\n",
       "      <td>Citigroup Inc</td>\n",
       "      <td>45.954</td>\n",
       "      <td>FINANCIAL_SERVICES</td>\n",
       "      <td>-10500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Equity(3496 [HD])</th>\n",
       "      <td>0.959242</td>\n",
       "      <td>1694.460</td>\n",
       "      <td>The Home Depot Inc</td>\n",
       "      <td>136.210</td>\n",
       "      <td>CONSUMER_CYCLICAL</td>\n",
       "      <td>19000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Equity(4283 [KO])</th>\n",
       "      <td>0.695212</td>\n",
       "      <td>1874.880</td>\n",
       "      <td>Coca-Cola Co</td>\n",
       "      <td>43.430</td>\n",
       "      <td>CONSUMER_DEFENSIVE</td>\n",
       "      <td>12000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Equity(4521 [LOW])</th>\n",
       "      <td>0.950696</td>\n",
       "      <td>723.239</td>\n",
       "      <td>Lowe's Companies Inc</td>\n",
       "      <td>81.610</td>\n",
       "      <td>CONSUMER_CYCLICAL</td>\n",
       "      <td>-18000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Equity(5885 [PEP])</th>\n",
       "      <td>0.758116</td>\n",
       "      <td>1556.310</td>\n",
       "      <td>PepsiCo Inc</td>\n",
       "      <td>108.130</td>\n",
       "      <td>CONSUMER_DEFENSIVE</td>\n",
       "      <td>-12000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                    Beta_SPY      MCap                         Name    Price  \\\n",
       "Equity(700 [BAC])   1.303602  1543.990  Bank of America Corporation   15.125   \n",
       "Equity(1335 [C])    1.391961  1335.310                Citigroup Inc   45.954   \n",
       "Equity(3496 [HD])   0.959242  1694.460           The Home Depot Inc  136.210   \n",
       "Equity(4283 [KO])   0.695212  1874.880                 Coca-Cola Co   43.430   \n",
       "Equity(4521 [LOW])  0.950696   723.239         Lowe's Companies Inc   81.610   \n",
       "Equity(5885 [PEP])  0.758116  1556.310                  PepsiCo Inc  108.130   \n",
       "\n",
       "                                Sector      y  \n",
       "Equity(700 [BAC])   FINANCIAL_SERVICES  12000  \n",
       "Equity(1335 [C])    FINANCIAL_SERVICES -10500  \n",
       "Equity(3496 [HD])    CONSUMER_CYCLICAL  19000  \n",
       "Equity(4283 [KO])   CONSUMER_DEFENSIVE  12000  \n",
       "Equity(4521 [LOW])   CONSUMER_CYCLICAL -18000  \n",
       "Equity(5885 [PEP])  CONSUMER_DEFENSIVE -12000  "
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "res"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Name</th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Equity(700 [BAC])</th>\n",
       "      <td>Bank of America Corporation</td>\n",
       "      <td>12000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Equity(1335 [C])</th>\n",
       "      <td>Citigroup Inc</td>\n",
       "      <td>-10500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Equity(3496 [HD])</th>\n",
       "      <td>The Home Depot Inc</td>\n",
       "      <td>19000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Equity(4283 [KO])</th>\n",
       "      <td>Coca-Cola Co</td>\n",
       "      <td>12000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Equity(4521 [LOW])</th>\n",
       "      <td>Lowe's Companies Inc</td>\n",
       "      <td>-18000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Equity(5885 [PEP])</th>\n",
       "      <td>PepsiCo Inc</td>\n",
       "      <td>-12000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                           Name      y\n",
       "Equity(700 [BAC])   Bank of America Corporation  12000\n",
       "Equity(1335 [C])                  Citigroup Inc -10500\n",
       "Equity(3496 [HD])            The Home Depot Inc  19000\n",
       "Equity(4283 [KO])                  Coca-Cola Co  12000\n",
       "Equity(4521 [LOW])         Lowe's Companies Inc -18000\n",
       "Equity(5885 [PEP])                  PepsiCo Inc -12000"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "res[['Name', 'y']]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$$f: z \\rightarrow y$$\n",
    "$$V^T \\cdot y$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "\n",
    "\\begin{equation*}\n",
    "\\begin{aligned}\n",
    "& \\underset{x}{\\text{minimize}}\n",
    "& & \\sum_i{(x_i - y_i)^2} + \\lambda \\|V^Tx-V^Ty\\|^2_2 \\\\\n",
    "& \\text{subject to}\n",
    "& & u_{\\text{min}} \\preceq x \\preceq u_{\\text{max}} \\\\\n",
    "&&& \\|x\\|_1  \\leq  leverage_{\\text{max}} \\\\\n",
    "&&& k_{\\text{min}} \\preceq F^T(g + x - z)\\preceq  k_{\\text{max}}\n",
    "\\end{aligned}\n",
    "\\end{equation*}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def timeit(method):\n",
    "    '''\n",
    "    Decorator to time function calls\n",
    "    '''\n",
    "    def timed(*args, **kwargs):\n",
    "        ts = time.time()\n",
    "        result = method(*args, **kwargs)\n",
    "        te = time.time()\n",
    "\n",
    "        print ('%r: %2.4f sec' % \\\n",
    "              (method.__name__, te-ts))\n",
    "        return result\n",
    "\n",
    "    return timed"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from scipy.stats import linregress\n",
    "\n",
    "@timeit\n",
    "def constrain_portfolio_cvxpy(\n",
    "    ideal_weights,\n",
    "    factor_loadings,\n",
    "    min_factor_exposure,\n",
    "    max_factor_exposure,\n",
    "    min_weights,\n",
    "    max_weights,\n",
    "    max_factor_exposure_gross=None,\n",
    "    current_weights=None,\n",
    "    max_lev=1.0,\n",
    "    turn_aversion=None,\n",
    "    ideal_features=None,   \n",
    "    ideal_feature_lambda=0.0):\n",
    "    '''\n",
    "    Portoflio optmization routine to solve\n",
    "    \n",
    "    min sum (x - ideal_weights)^2\n",
    "             + turn_aversion'(x - current_weights)^2\n",
    "             + ideal_factor_lambda * sum (F'x - b)^2\n",
    "    s.t.\n",
    "      F'x <= max_factor_exposure\n",
    "      F'x >= min_factor_exposure\n",
    "      F'|x| <= max_factor_exposure_gross\n",
    "      sum(abs(x)) <= max_lev\n",
    "      x >= min_weights\n",
    "      x <= max_weights\n",
    "    '''\n",
    "    optim_scale_divisor = max(1.0, max_lev)\n",
    "    \n",
    "    if current_weights is None:\n",
    "        current_weights = np.copy(ideal_weights)*0.0\n",
    "    \n",
    "    if type(turn_aversion)==float or type(turn_aversion)==int:\n",
    "        turn_aversion = np.repeat(turn_aversion, len(ideal_weights))\n",
    "    \n",
    "    if turn_aversion is None:\n",
    "        turn_aversion = np.copy(ideal_weights)*0.0\n",
    "            \n",
    "    num_factors = factor_loadings.shape[1] # num columns\n",
    "    \n",
    "    if max_factor_exposure_gross is None:\n",
    "        max_factor_exposure_gross = np.repeat(max_lev*999, num_factors)\n",
    "    \n",
    "    if ideal_features is not None:\n",
    "        num_features = ideal_features.shape[1]\n",
    "        ideal_feature_exposure = ideal_features.T.dot(ideal_weights)\n",
    "        b = ideal_feature_exposure/optim_scale_divisor \n",
    "    \n",
    "    y = ideal_weights/optim_scale_divisor\n",
    "    z = current_weights/optim_scale_divisor\n",
    "    k_max = max_factor_exposure/optim_scale_divisor\n",
    "    k_min = min_factor_exposure/optim_scale_divisor\n",
    "    k_g_max = max_factor_exposure_gross/optim_scale_divisor\n",
    "    u_min = min_weights/optim_scale_divisor\n",
    "    u_max = max_weights/optim_scale_divisor\n",
    "    \n",
    "    n = len(y)\n",
    "\n",
    "    x = cvx.Variable(n)\n",
    "    f = factor_loadings.T*x\n",
    "    f_gross = cvx.abs(factor_loadings.T)*cvx.abs(x)\n",
    "\n",
    "    obj = cvx.Minimize(\n",
    "        cvx.sum_squares(x-y) + \\\n",
    "        turn_aversion.T*cvx.square(x-z)\n",
    "    )\n",
    "\n",
    "    if ideal_feature_lambda > 0:\n",
    "        a = ideal_features.T*x\n",
    "        obj = obj + cvx.Minimize(\n",
    "            ideal_feature_lambda*(cvx.sum_squares(a-b))\n",
    "        )\n",
    "        \n",
    "    constraints = [\n",
    "        cvx.norm(x, 1) <= max_lev,\n",
    "        x <= u_max,\n",
    "        x >= u_min,\n",
    "        f <= k_max,\n",
    "        f >= k_min,\n",
    "        f_gross <= k_g_max\n",
    "    ]\n",
    "\n",
    "    for cons in constraints:\n",
    "        if not cons.is_dcp():\n",
    "            print str(cons) + \":\" + str(cons.is_dcp())\n",
    "\n",
    "    prob = cvx.Problem(obj, constraints)\n",
    "    prob.solve(verbose=False)\n",
    "    \n",
    "    sol = np.asarray(x.value).flatten()*optim_scale_divisor\n",
    "    slope, intercept, r_value, p_value, std_err = linregress(sol, y)\n",
    "    turnover = sum(abs(sol-current_weights))\n",
    "    \n",
    "    return sol, r_value**2, turnover, factor_loadings.T.dot(sol)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "n = len(y)\n",
    "u_min = np.repeat(-20000.0, n)\n",
    "u_max = np.repeat(20000.0, n)\n",
    "u_max[0] = 0 # BAC \n",
    "F = (np.repeat(1.0, n)).reshape(n, 1)  # n rows, 1 column"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "'constrain_portfolio_cvxpy': 0.0208 sec\n"
     ]
    }
   ],
   "source": [
    "result = constrain_portfolio_cvxpy(\n",
    "    ideal_weights=np.array(y),\n",
    "    factor_loadings=F,\n",
    "    min_factor_exposure=-5000.,\n",
    "    max_factor_exposure=5000.,\n",
    "    min_weights=u_min,\n",
    "    max_weights=u_max,\n",
    "    max_lev = 65000.,\n",
    "    ideal_features=features.components_[0:3, :].T,\n",
    "    ideal_feature_lambda=10.0\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZkAAAHxCAYAAAC/AsH5AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f76800a0510>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = 6\n",
    "data2 = np.array(y)\n",
    "data1 = result[0]\n",
    "\n",
    "bar_width = 0.4  # default: 0.8\n",
    "bar_locations = np.arange(n)\n",
    "\n",
    "plt.figure(figsize=(6,8))\n",
    "plt.bar(bar_locations, data1, bar_width)\n",
    "plt.bar(\n",
    "    bar_locations - bar_width, \n",
    "    data2, \n",
    "    bar_width,\n",
    "    color='wheat',\n",
    "    alpha=0.9\n",
    ")\n",
    "\n",
    "plt.xticks(range(6), exch_tickers, fontsize='large')\n",
    "plt.ylabel('Optimized Position', fontsize='large')\n",
    "plt.title('Constrained Portfolio vs. Ideal Portfolio', fontsize='large')\n",
    "plt.legend(labels=['Optimal Positions','Ideal Portfolio']);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "'constrain_portfolio_cvxpy': 0.0133 sec\n",
      "'constrain_portfolio_cvxpy': 0.0267 sec\n",
      "'constrain_portfolio_cvxpy': 0.0705 sec\n",
      "'constrain_portfolio_cvxpy': 0.2024 sec\n",
      "'constrain_portfolio_cvxpy': 0.5516 sec\n",
      "'constrain_portfolio_cvxpy': 1.0527 sec\n",
      "'constrain_portfolio_cvxpy': 1.5798 sec\n"
     ]
    }
   ],
   "source": [
    "stocks = [10,25, 50,100,250,500,1000]\n",
    "\n",
    "times_opt = []\n",
    "times = []\n",
    "\n",
    "for n in stocks:    \n",
    "    d = 500\n",
    "    dat = np.random.randn(n*d).reshape(d,n)\n",
    "    start = time.time()\n",
    "    pca = PCA()\n",
    "    pca_fit = pca.fit(dat)\n",
    "    end = time.time()\n",
    "    times.append(end - start)\n",
    "    \n",
    "    pos = np.random.randn(n)\n",
    "    pos = (pos - np.mean(pos))/sum(abs(pos))\n",
    "    \n",
    "    F = np.repeat(1.0, n*min(75,n)).reshape(n, min(75,n))  # n rows, 1 column\n",
    "    \n",
    "    start = time.time()\n",
    "    result = constrain_portfolio_cvxpy(\n",
    "        ideal_weights=pos,\n",
    "        factor_loadings=F,\n",
    "        min_factor_exposure=0.05,\n",
    "        max_factor_exposure=0.05,\n",
    "        min_weights=-2./n,\n",
    "        max_weights=2./n,\n",
    "        max_lev = 1.0,\n",
    "        ideal_features=pca_fit.components_[0:(min(20,n)), :].T,\n",
    "        ideal_feature_lambda=10.0\n",
    "    )\n",
    "    end = time.time()\n",
    "    times_opt.append(end - start)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAm8AAAFZCAYAAADO/cilAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nFN5ERERETOQXTFnIkINxc6QAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f7694062f90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,5))\n",
    "plt.fill_between(stocks, 0, times,color='wheat',alpha=0.90);\n",
    "plt.fill_between(stocks, times, np.array(times)+np.array(times_opt),\n",
    "                 color='steelblue',alpha=0.66);\n",
    "plt.title('Compute Time', fontsize='large')\n",
    "plt.ylabel('Seconds', fontsize='large')\n",
    "plt.xlabel('Stocks', fontsize='large');\n",
    "plt.legend(labels=['PCA','Optimization'], fontsize='large', loc=2);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}