MMMC2017-Student.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# MMMC the 2017 update\n",
    "\n",
    "See the [original blog post](http://www.mglerner.com/blog/?p=16) for details and history. Here's the short story: in my Statistical and Thermal Physics class, we want to use Monte Carlo simulations to generate brackets for March Madness. There are at least two obvious ways to go about this:\n",
    "\n",
    " 1. Make some function that tells us the chance that team A beats team B, then flip coins for each matchup. That gets you one bracket. Repeat 100,000 times, collect statistics. This is the way Nate Silver's 538.com handles simulations for [basketball](http://fivethirtyeight.com/interactives/march-madness-predictions-2015/#mens), [elections](http://fivethirtyeight.com/interactives/senate-forecast/), etc, and I should probably implement it (note to self/motivated students: it's as easy as just generating 100,000 new brackets at a given temperature).\n",
    " \n",
    " 2. Generate one bracket, then do a Monte-Carlo walk through bracket space. This is tougher. We have to figure out how to make a move in bracket space, which is part of the fun of Monte Carlo simulations in general. To see how this is done, check out the code in `Bracket.swap` and `Brackets.simulate`.\n",
    " \n",
    " \n",
    "Please also see the [2015 Version](MMMC2015.ipynb) for more information, including what we did in 2015 to calibrate \"temperature.\"\n",
    "\n",
    "As you can tell, we take option 2 above. I've made things a bit nicer from a user standpoint this year; here's a walkthrough. First, load up our standard IPython setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import seaborn as sns\n",
    "sns.set_style('darkgrid')\n",
    "import numpy as np\n",
    "#from bqplot import pyplot as plt\n",
    "from matplotlib import pyplot as plt\n",
    "from IPython.display import HTML"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The basics\n",
    "\n",
    "make me a single bracket at a given temperature"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "N. Carolina (1)                                              \n",
      "Texas So. (16)            Tex (16)                           \n",
      "Arkansas (8)                                                 \n",
      "Seton Hall (9)            Ark (8)  Ark (8)                   \n",
      "Minnesota (5)                                                \n",
      "Middle Tenn. (12)         Min (5)                            \n",
      "Butler (4)                                                   \n",
      "Winthrop (13)             But (4)  Min (5)  Ark (8)          \n",
      "Cincinnati (6)            Kan (11) Kan (11) Kan (11) Ark (8) \n",
      "Kansas St. (11)                                              \n",
      "UCLA (3)                  UCL (3)                            \n",
      "Kent St. (14)                                                \n",
      "Dayton (7)                Wic (10) Wic (10)                  \n",
      "Wichita St. (10)                                             \n",
      "Kentucky (2)              Ken (2)                            \n",
      "N. Kentucky (15)                                             \n",
      "Total bracket energy: -15.350772211341585\n",
      "\n"
     ]
    }
   ],
   "source": [
    "import sys\n",
    "sys.path.append('/Users/Home/Downloads')\n",
    "from MarchMadnessMonteCarlo import examples, student2017\n",
    "import MarchMadnessMonteCarlo as MMMC\n",
    "MMMC.set_energy_function(student2017.tyler_energy_game)\n",
    "teams = MMMC.teams['south']\n",
    "b = MMMC.Bracket(teams=teams,T=0.5)\n",
    "print (b)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, instead of asking for all of the teams in the South, make up a set of Final Four teams, and run 1000 simulations. Show some statistics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Lowest energy bracket\n",
      "Villanova (1)                              \n",
      "Kansas (1)                Vil (1)          \n",
      "Gonzaga (1)               Gon (1)  Vil (1) \n",
      "Kentucky (2)                               \n",
      "Total bracket energy: -3.0448823777236464\n",
      "\n",
      "Most common bracket (135)\n",
      "Villanova (1)                              \n",
      "Kansas (1)                Vil (1)          \n",
      "Gonzaga (1)               Gon (1)  Vil (1) \n",
      "Kentucky (2)                               \n",
      "Total bracket energy: -3.0448823777236464\n",
      "\n"
     ]
    },
    {
     "data": {
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/YGbXrl24du0aFi1ahEGDBuH+/ft8P2vTpg1/WbAwnS19+vTBjh07Sj2YK490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0OHDjh69CgcDgdmzpyJG264AQ6HA6+88gp27doFp9OJP/zhD5g+fTpMJhMGDhyI9PR05Obm4umn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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110af5f60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sr = MMMC.simulate(1000,['Villanova','Kansas','Gonzaga','Kentucky'],0.5)\n",
    "MMMC.showstats(sr,newfig=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As you can see, we fully sample bracket space pretty quickly (look at the graph in the top right, with the unique brackets shown)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# What should our temperature be?\n",
    "\n",
    "If we had chosen option 1 at the top, we'd just flip coins with a given probability of winning. Here (and this may be a questionable decision), we need to set an overall temperature for our simulation. Intuitively, the higher the temperature, the closer we come to a random outcome. The lower the temperature, the closer we come to a \"best seed always wins\" bracket. If we're going to make sense of temperature, we should pick a reasonable energy function.py.\n",
    "\n",
    "That's up to you! Look in student2017.py"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, what should our actual temperature be? Historically, we know that an 8 seed vs. a 9 seed should essentially be a tossup. So, as a proxy here, we could just look at the chance of an 8 seed winning over a range of temperatures, and pick the point where it's pretty close to 0.5."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "numtrials = 2000\n",
    "def winpct8(team8,team9,T,numtrials=numtrials):\n",
    "    results = [MMMC.playgame(team8,team9,T)[0] == team8 for i in range(numtrials)]\n",
    "    return np.average(results)\n",
    "def plotwins(team8,team9,numtrials=numtrials):\n",
    "    Ts = np.linspace(0,30,200)\n",
    "    pct = [winpct8(team8,team9,T,numtrials) for T in Ts]\n",
    "    plt.plot(Ts,pct,label='{t1} vs. {t2}'.format(t1=team8,t2=team9))\n",
    "    plt.xlabel('T')\n",
    "    plt.ylabel('winpct')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We'll look at it for all four of the 8 vs. 9 matchups"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/mglerner/coding/MarchMadnessMonteCarlo/Brackets.py:63: RuntimeWarning: divide by zero encountered in double_scalars\n",
      "  boltzmann_factor = exp(-ediff/T)\n"
     ]
    },
    {
     "data": {
      "image/png": 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efXYyGzeu54EH7uORRx5k1arlTJjwJFCayc3pdFb5OS8nySpWQbn/XbSH/Scz\nef+pHui1ZWcWimzFfPzfTURFBzD03nYVlnvi6cdRaDTEvv6fcudyrHn8e/N0Io3hTOr05BX9llwV\nyQxUlrRHKWmLsqQ9yrpa2+PPP/dSUFBA5843k5BwhokTH2PRoqrn/S/VlcwqJnPeFSh9XcxK1EXB\nW+OjwtdPW2GGsRLa+tFY9v9JsdmMymgsc85fa6JNSAv2pO0nPi+BGL/6l/8DCCHEDa5OnSimTn2B\n+fPnYbfbefrpf/3VVbqsJHhXoOR1sazcQqJCjOXOBwYbSDiVhbXQjlZXvgm19epj2f8n1oQzGJo1\nL3e+a50u7Enbz+9nt0nwFkKIWhAcHMJ77839q6tRa2TOuwLB1b4uVvW8t65k3vtM+XlvgGZBjQnS\nBbIjZY+8NiaEEMJrErwrEGRy9bwzKtgiFSAwpLoV564FJhUtWgNQKpT0qdcdm6OI1fHrLrW6Qggh\nbjASvCsQcD5455gr7nkHnH9drLJ5b01YGAqttsLXxUp0i7qZYF0gGxO3kF6QWel1QgghxMUkeFfA\nZHC9UpBnqXi5f8m73lnpFQ+bK5RKtPXqY0s6h8Na8RcAjVLN4NiBFDuLWX7y58tQayGEEDcKCd4V\nMOjUKBWKSoO33uCDwehDRlrFwRtA1yAWHA6sVfS+O4a3I8o3kh0pu2XuWwhRxpdfLuDOOwdiraAD\nsHLlMubMee8vqNXll5iYwLPPPsFTT41n7Nh/8sEHs3A4Kt87/sSJ4+zZs+uSnjlhwlji40+7f7Za\nrYwYMaTS6y/MYDZixJAK/06uNAneFVAqFPjq1eRZyu9fXiI4zEh+rpXCgooDvC6mAQCFp05V8Rwl\nbUJa4sTJmbzES6u0EOK68vPPq+jbdwBr117fI3Nz577P8OFxvP32+8ydO5+EhDNs2rSh0ut//XUt\np0+fvII1vDrJq2KVMBl8yKpktTlASLgvCaeyyEjNJyo6sNx5XYNYAAqr+SWrb3KlvjuTe5aWwc0u\nocZCiMtp87oTnDycWu64UqXEUcOsYrHNwri1T8Nqr9u1awd16tRl2LDhvPLKFG6/fQgTJowlMDCI\n3Nxc+vcfALhyTE+ePJExYx6hefMWzJw5jfz8PNLT07j77nu4664RTJgwlsaNm3Ly5AkslnxeffV1\nAgODmDLlecxmM4WFhYwd+yidO9/M//73LRs2rKegoICAgABee+0tkpLOVZkl7O6772bq1BlERtZh\n/fo17N0HR1bxAAAgAElEQVS7hz59+jF79juo1Wp0Oh3Tpr3u3jf8YkFBQaxatQyDwUCLFq149dWZ\nqFQqAD78cDZ79+7G4XAQFzeK1q3bsGrVctRqDU2aNMNszmfevDlotVr8/PyZNGkKx44d4csvP0ej\nUXPu3Fn69h3A/feP8fjvqLKsY1cbCd6VMBk0nE03Yy92oFaVH6AIDnPl5M5INVcYvDWhoSiNxip7\n3gD1/Vz7+CZIz1sIcd7y5UsZMmQY9evHoNFoOHBgP+BKn9mzZ29WrlxGVlYmzz//NI8/PpGWLVtx\n5Mhh+vUbQM+efUhPT2PChLHcdZcr0Ujz5i154omJzJ37Pr/8spquXbuTk5PDf/4zi6ysLBIS4nE4\nHOTk5PDOOx+gVCp5+ukJHDp0gGPHjtK8eUseffQJ9u7dXS5L2IgRI/jppxU88MBDrFy5jHHjHmPV\nqhX06dOPe+65j99+20hubl6lwXv8+CdZsuR75s59nxMnjnPrrd146qnn2L9/H0lJZ5kz5xOsVisP\nP/wA7703l9tuG0xwcDDNm7fknnvu5IMPPiY0NIxFi75mwYJPuPXWbqSkJPHZZ19TVFTEsGGDKgze\n06ZNQat1vRZ84UajJVnHQkJC+fzzT1m/fk2l+8v/lSR4V8L3/KK1/IIiAirIHlYavCueq1YoFOhi\nGmA5sJ/i/HxUvr4VXufv44fJx5czeWcvU82FEJfDrX0aVthLru3tQHNzc9my5XeysjL5/vtvMZvz\nWbz4W4Ay+5xv27aZ4OAQnE7XKEBQUBCLFn3Fhg3rMRiM2O1297VNmjQFIDw8nIyMDGJjG3LnnXcz\ndeoL2O12RowYiVKpdOe11uv1pKamYrfbGTz4ziqzhA0ZMoS4uJEMGTIMs9lMbGwjRo9+gM8//5Qn\nnhhHaGgYLVq0qvTz7tq1g3vuuY977rkPi8XC+++/w2effUxQUBBHjhxmwoSxANjtdpKTz7nvy87O\nxmAwEhoaBkC7djcxd+4H3HprN2JjG6FWq1Gr1e4AfbF///sVd05zq9XKqFGuLzqVZR272sicdyVM\nBtcwSWWL1gKC9KhUCtIrCd7g2dC5QqGgvqkuWdZsWbQmhODnn1cyePCdvP32+/z3v+8xb94C/vhj\nG9nZ2SiVpf9kDxo0mH//+xVmzpxGQUEB33zzBa1atWHKlFfp06dfmd7kxTkUTpw4jsVi5s033+WF\nF17mnXfe5PjxY2zc+CuvvDKDp556zv2loLosYSaTiaZNmzNr1n+5/fYh7s9w++2Dee+9uTRoEMuP\nPy6u9PPOmTOL3bt3AmAwGKhXrz4+Pj5ER8dw000dmT17HrNmfUifPv2IiqqLUqnE4XASEBCAxWIm\nPd2Vd3vPnl3UO79B1qWkjKgs69jVRnrelTDpS4J3xYvWlEolQaFGMtPMOByOMv9Tlbhw0ZqxVZtK\nn1XfFMWBjMMk5J2lRXDTy1B7IcS1atmypbz44ivun3U6HT179mH58iXlro2NbcjAgbcxa9Z/6d9/\nIG+//QZr1/6Mr68vKpWqXE7qEnXr1mP+/HmsW7cGh8PBmDEPU7duPfR6PePGPQi4thdNT0+jZcvW\nTJv2EgsWfILD4eCxx54uV96QIcOYOPFxJk2aAkDz5q2YOXMaer0ehULBc8+9QG5uDjNnTuO118rm\nv3755Rm8886bzJ79DhqNhjp1onjmmefR6w3s3r2TRx/9PwoKLPTo0RuDwUjTps354IN3iYlpwHPP\nvcALLzyLUqnAZPJj8uSpnDx5vMZtD6VZx/R6HYGBwbWWre1SSVaxSspduzORL385ysNDW9KlRXiF\n16xfeZjD+5KJG9OJoNDy8zn2nGxOTnwSY5u2RD3+VKX12Jt2gHl/LmBI7CAGxfSp2Ye5RFdrZqC/\nirRHKWmLsqQ9ypL2KHUls4rJsHklSofNq3pdzDWPXdnQudo/AHVQMAVHj2BLLb9qtUTJinNZtCaE\nEMITErwrUd0uawAh1SxaAwgeOgxHYSHnZr1NsaXi7VQDtP74aoyyaE0IIYRHJHhXwt3zrmQTFnBt\n1AJVB2//bt0J7D8QW3ISyR9XnJ6uZNFaZmGWLFoTQghRLQnelSjteVc+bK7VaTAYfcjOLKiyrJC/\nxaFv2gzzvr0Unqp45XmTQNcrKfszDtewxkIIIW4UErwr4at3LcTPr2LYHMAvUEd+biHFVey4pFAq\nCbp9MADZ69dWeE2b0JYA7Es7UJPqCiGEuIHUWvB2OBxMmTKFuLg4Ro8eTXx82QQdS5YsYciQIdx3\n33189913tVWNGlMplRh16iqHzQH8AvQ4nZCfW3Hu7xKG5i3QhIeT98c2ivPKr0YMN4QSYQznUOYR\nrMWV9/aFEEKIWgvea9aswWaz8e233zJx4kRmzpzpPpeZmcmsWbNYuHAhX3zxBcuWLSMx8epbaW0y\n+FQ5bA7gH6AHICer6uCtUCoJ6NUHp91Ozm8bK7ymbUhLihx2DmUerVmFhRBC3BBqLXjv3LmT7t27\nA9CuXTv279/vPpeYmEjTpk0JCAhAqVTSunVr9u7dW1tVqTGTQUN+QRGOKl6F9wt0Be/c7KrnvQH8\nunZD4eND9ob1VPR6fdvzQ+d70/aXOyeEEEKUqLUd1vLz8/G9YD9vlUqF3W5HrVYTHR3N8ePHSU9P\nx2g0smXLFmJiYqosLzDQgFqtuuz1rOwFeICQQAPHEnPQGbT4V7C/OYC1gWv/4CJrcZVluZjIuqkd\nmdv+IEBTjE9g2YQmISHNCToQwIGMQxgD1Bg0eq8+y6Wqvv43FmmPUtIWZUl7lCXtUepKtUWtBW9f\nX1/MZrP7Z4fDgVrtepy/vz+TJk3iscceIyAggJYtWxIYWD4z14Wysip+R/pSVLcbjo/KtUHu6YQs\n6oRUnBHHgWuhWvLZHM921gl2baKftP8YhmbNy51uH9qWNWc28NSKVxjVbATNg5tUX+ZlILsklSXt\nUUraoixpj7KkPUpdFzustW/fno0bXXO7e/bsoUmT0iBkt9s5ePAgX331Fe+++y4nT56kffv2tVWV\nGvNklzWdXoOPVkWOB8PmAJrzeXBtKckVnh8SO5DbY/qRY8vl/b2fkGxO8bLWQgghrne11vPu378/\nv//+OyNHjsTpdPLaa6+xbNkyLBYLcXFxANx1111otVoeeOABgoKCaqsqNWbSV7/LmkKhwC9AT3aG\nBafTWS57z8V8Is4H76SkCs+rlWruiB1AgM6frw7/jwMZR4gwVry3uhBCiBtTrQVvpVLJK6+8UuZY\nw4aluXEnTJjAhAkTauvxl4Unu6yB63Wx9JR8LPk2jKaK58ZL+EREAmBLrrjnXaJlcDMAjmQdp2/9\nHp5WWQghxA1ANmmpgie7rAH4B7qSvXsydK4yGlGZ/ChKqbjnXSJA60+4IZTj2ScpdhR7WGMhhBA3\nAgneVSid866+5w2Qm+XZvLdPZCRF6ek4iqr+UtAksBHWYhvxeQkelSuEEOLGIMG7Cr56V/DO92DY\nHDzrecP5eW+nk6Iq0oQCNA1sBMCRzBMelSuEEOLGIMG7Cp4Gb/+SjVqq2WWtROm8d9VD540DY1Gg\n4GjWcY/KFUIIcWOQ4F0FH40KH42y2uBtNGlRqZXEn8hg99YzFBVVPUetqWbFeQlfjZG6vpGczI3H\nVlx1HYQQQtw4JHhXw1evwVxN8FYqFfQc1ASlUsHWX0+y9sdDVV7vE36+513Ju94XahLUCLvDzmHZ\n71wIIcR5Eryr4avTVPuqGEDTVhGMeqQLvn5aks/lVHmtJiQEhVpNUTWviwF0CndtXrM56Q/PKiyE\nEOK6J8G7Gka9BqutGHsV+bpLaHUafP10FFqKcDgqT2aiUKnQhIVhS06qMEHJheqZ6hBtqsf+9MNk\nFWZ7XX8hhBDXHwne1fB00VoJg1GD0wnWwqqv9wmPxFFQQHFubrVldq3TGSdOtiRt96gOQgghrm8S\nvKvhbfDWn9/YpcBc9fWasFAAitKqfl0MoEN4W7QqHzaf247DWf0IgBBCiOubBO9qGM8H7+oWrZXQ\nn9/YpaCaXdk0oa7sYp4Eb51aR8fwdmRZs9mXftCjegghhLh+SfCuhtc9b+P5nnc1u7KVBG9bNRu1\nlOhTrzsKFKw6tabaeXIhhBDXNwne1fDVu3K3eD5s7gr2FnM1Pe8wz3veABHGcDqEtyUx/xz70g94\ndI8QQojrkwTvatR4zru6YfOgYFCpKEpL87gut8X0Q4GCldL7FkKIG5oE72r4ns/p7fWweTUL1hQq\nFZqg4Gr3N79QhDGMjuHtSMw/x4azmz2+TwghxPVFgnc1vB02Nxg9W7AGrqHz4rxcHIWeJTQBGNpw\nECaNL/87toxDsuuaEELckCR4V8PXvdrc7tH1Plo1SqWi2gVrUDrv7emiNYAgXSBj2/wDJQo+2f8F\nGQVZHt8rhBDi+iDBuxp6rRqlQuFxz1uhUKA3aCioZsEagI8Xr4tdKNY/hjsb3U6BvZA/5dUxIYS4\n4UjwroZCocCoV3scvMG1aM2jnndJ8E71fNFaicYBDQFItngX+IUQQlz7JHh7wFev8S54GzUU2Yqr\nTw16wetiebt2kvzpRziKPHtOuCEUBQqSzSke10sIIcT1Qf1XV+BaYNRrSM604HA6USoU1V5f8rpY\noaUIjb+q0us0Ia4tUguOHSV32xacViuGFi3xu/nWap/ho9IQpAuUnrcQQtyApOftAV+dK9mIpdCz\nRWt6o2cbtSi1WlT+AdiSzuG0WgHIXr/O43pFGMPIs+VjKbJ4fI8QQohrnwRvD/h6vb+5Zxu1APic\nHzr37dgJY+s2FJ44TmH8aY+eE2Fw3Su9byGEuLFI8PaA97usnX/Xu5qNWgB823dAGx1D+Kh/4N+7\nLwDZ69d69JwI4/ngbZbgLYQQNxIJ3h4weru/udHznndg/4FEvzgVlcmEsVVrNKGh5G3bSrHZXO29\nJcE7SRatCSHEDUWCtwdq3PP24HWxCymUSvy6dsdZVIT5wJ/VXi/D5kIIcWOS4O2Bkv3NPZ3zNrj3\nN6++530xY5u2rmft21v9czQGTD6+pMiwuRBC3FAkeHvAvb95oWfBW1fDnjeAtl59VP4BWPbvx+lw\nVHt9hCGMzMJskswpLDm+klxbntfPFEIIcW2R4O2B0mFzz14VU6tV+GhV5OUWUmyvPgBfSKFQYGzd\nhuL8PApPn6r2+ghjOE6cvL79XX458yvrzmzy6nlCCCGuPRK8PeB3fhg8O8/q8T0h4SZyMgv4et42\n4o9nePU899D5n/uqvbZk3tvpdKJUKDmSddyrZwkhhLj2SPD2gK9eg1GnJimj+hXgJQYMa0GbTnUx\nm238vPQAxcWe98ANzVuASuVR8G4X1orOEe15sv04GvhFk5B3VjZtEUKI65wEbw8oFAoiQ4ykZhdQ\n5OEwuN7gQ9e+jWjZrg72IgcpZ3M9fp5Kr0ffuAnW06ewZ2dXeW2A1p/7W4ykgX99mgY1womTY9kn\nPX6WEEKIa48Ebw/VCTbgdEJKlne92qjoAADOxnuXd9vUvgMAOb97PofdNLARgAydCyHEdU6Ct4ci\ng40AJGV4F7zr1A9AoYDE+Kp70Bcz3dIVhVZHzob1OIurzk5WIsavHj5KDUcyJXgLIcT1TIK3h9zB\nO93zeW8ArU5DaISJ1HO5FNk8C8LgGjr3u+VW7JmZmPft8egetVJNw4AGJFtSybF6PkwvhBDi2iLB\n20N1gg0AnPNi0VqJqOhAHA4nSYne9b4DSvY6X+d5prGSofPtKbu9epYQQohrhwRvDwX56/DRKL0e\nNofSee/E094Fb21UFPomTbEcOoAtxbP9y28Ka41OpeWH4yv44fgKih2e9/aFEEJcGyR4e0ipUBAZ\nZCQ504LD4fTq3oi6/ihVCq8XrQGYOncBoODoYY+uD9EH82zHCYQZQlhzZgO/ndvm9TOFEEJc3SR4\neyEyxECR3UF6bqFX92k0KqLqB5Cekk96infbl+oaxAJ4tNtaiQhjOP/XajQA58zJXj1PCCHE1U+C\ntxdqumgNoE2nugDs3prg1X3aqLoo1GoKT3kevAH8tX4A5Fllr3MhhLjeSPD2QsmitZrMe9drEERw\nmJETh1PJ8eJdcYVajTY6BuvZRBw2z7OUGdR6VAqVJCoRQojrkARvL5T0vGuy4lyhUHDTzfVxOmHP\nNu9637qYBlBcjDXhjMf3KBVKTD6+5EjwFkKI644Eby+EBugBSM8uqNH9DZuFYvLXcWR/Cg4P0n2W\n0DVoAEDhKe+2PfX38SPXlofT6d0COyGEEFc3Cd5e0KiV+Oo1ZOd7Pnx9IaVSSWiEiWK7g0Ivcn27\nF615Oe/tp/XF7rBTYPdugZ0QQoirmwRvLwWatGTle54a9GKG8+lFLWbPg7cmLBylwUDhae963n4+\nJgCZ9xZCiOuMBG8vBfhqsdqKKbDaa3S/wagBwGL2vPeuUCjQxTSgKCWFYrPn8+0SvIUQ4vpUa8Hb\n4XAwZcoU4uLiGD16NPHx8WXO//jjj9x1110MHz6cr776qraqcdkFmlw95+wa9r71vq77C7wI3lA6\ndG45sN/jeyR4CyHE9anWgveaNWuw2Wx8++23TJw4kZkzZ5Y5/8YbbzB//ny+/vpr5s+fT05OTm1V\n5bIK8NUCkJ1Xs+BtMJQMm3sXvP1u6QoKBRkrluH0cLGbBG8hhLg+1Vrw3rlzJ927dwegXbt27N9f\ntsfYtGlT8vLysNlsOJ1OFApFbVXlsgownQ/eNVy0Zqhhz9snIgLTzbdgO5tI/q6dHt3jpz0fvC/a\nqCXFkkahvebz9kIIIf5atRa88/Pz8fX1df+sUqmw20vniRs3bszw4cO544476NWrF35+frVVlcuq\npOdd00Vr+hr2vAGCBw8FpZKMZUspPH0KW9K5Kl8Dq6jnfSL7NK9ufYslJ1Z6/XwhhBBXB3VtFezr\n64v5gsVVDocDtdr1uMOHD/Prr7+ydu1aDAYDzz77LKtWreK2226rtLzAQANqteqy1zM01OTV9Q2s\nrixd1mKn1/eC63MAFNkc3t8fasLSqwep637lzLSXAWj+4mSCOnao8HI/u+uLRiEWQkNN2IvtLNrx\nA06cnDEnlHt+TT7P9Uzao5S0RVnSHmVJe5S6Um1Ra8G7ffv2rF+/nttvv509e/bQpEkT9zmTyYRO\np0Or1aJSqQgKCiI3N7fK8rK82FLUU6GhJtLSvJwPtruC97nUPO/vPU+rU5OTbanR/b6D78au86Uo\nI528bVtJ2bmP4ugmlV6vU+lIz88mLS2Pn06vJTE3CYDEnCSSUrJQK12/AjVqi+uYtEcpaYuypD3K\nkvYoVRttUdmXgVoL3v379+f3339n5MiROJ1OXnvtNZYtW4bFYiEuLo64uDjuu+8+NBoN9evX5667\n7qqtqlxWJoMGlVJR49XmAHqjj9dz3iXUfn6E3D0Ce14uedu2Yk2seqtVP60vudY8cqy5rDq9Fn8f\nEw0DGrArdR/J5lTqmurUqB5CCCH+OrUWvJVKJa+88kqZYw0bNnT/+d577+Xee++trcfXGqVCgb+v\nT41Xm4Nro5bsDAvFxQ5UqpotO1Cb/FD5+2NNTKzyOj8fE2mWDHal7sPusNM/ujdKhZJdqfs4m58k\nwVsIIa5BsklLDQT4asnOt+Go4Z7hJRu1FHixRWpFtHXrYc/MoNhS+ZSCn48JJ042n/sDgHahrYjy\njQQgMf/cJT1fCCHEX0OCdw0E+mopdjjJr2Hw1Rtr9rrYxbR1XTnCbWcr732XrDg/Z06mvqkugboA\nd/A+m5+Ew+ngq8P/47f47ZdUFyGEEFeOBO8acG/UUsN579L9zS81eNcDqHLeuyR4A7QNbQmAXq0j\nWBfE2fwk/kw/yO/ntvHTsV8vqS5CCCGuHAneNRBwfovUrJrusnbZet7eBu9W7j/X9Y0kv8jMjydX\nA5BqTr+kugghhLhyJHjXwKX2vPWXqeetiYgElarKRWt+WtfmN2H6ECIMYe7jJUPnyeYUALILc7EV\nX9ocvBBCiCtDgncNlGyReqk970sN3kqNBp+ISKyJiZXudx5hCEOpUNI5okOZLWijLlhlHqIPBiCz\nMPOS6iOEEOLKkOBdA4G+l7i/+QXD5k6nE3tRcY3roq1bF6e1kKKMioe9g/WBTO/6AgNjepc5Xs/X\nFbwjjeHcHNERgPQCCd5CCHEtqLX3vK9nJcPmmXmFNbpfZzif0zvfxpofD3HqaBqtOkTR/pZodHqN\nV2Vp69ZzbdaSkIBPaFiF11w4710iWB/E6Ob3UM8URVJ+MgDp0vMWQohrgvS8a8CgUxNo0hKfnFdl\nYpDKqFRKdHoNyWdzOX4oFYfDyd4/Eln06Q6KbN71wrXRMQAUnjjuPlaUke5R2tCbIzsS5RtJsD4I\ngAzpeQshxDWh2uBdUZ7ts2fP1kplriUNo/zJsxSRll1Qo/v1Rg0OhxONj4q4/+tEgyYhmPOsZGd6\nt4e7vmEjUKmwHDkMQMGxo5z61zNkr1/rcRkSvIUQ4tpSafBOSkri3LlzjBo1yv3nc+fOkZCQwJgx\nY65kHa9Kjeq4VnGfOFd1QpXKGM8PvXft24jAYCMRUa7y8nO9WwSn1GrRNYjFGn+aYouF3G1bAcj7\nY5vHZZg0vmhVPjJsLoQQ14hK57xnzZrFtm3bSE1NZdSoUaU3qNX06tXrStTtqtYwyh+AE2dzuKVl\nhNf3d+oWQ3SjYJq1cd1rPL+C3VyDFeyGZs0oPH6MgqNHyN+9C4DCkyew5+WiNlWfJ12hUBBmDCbN\nnIXT6SyzKl0IIcTVp9LgPWPGDADmzZvH2LFjAeQf9gvUDzehVik4cbZmPe+Iuv5E1PV3/+x7Pnjn\n1yR4N21O5vJlZK1eRXFONgofH5w2G+Z9+/Dv2s2jMkJ9Q0jITcJiL0ClUKJSqNCovFs8J4QQ4sqo\nds67TZs2jBw5EoBTp07Rt29fdu3aVesVu9pp1EqiI0wkpOZjvYRXvUr4+ukAyK/BCnZdbEMUajUF\nx44CEDxkGADmvbs9LiPM6HrX+1x+EtO2/ZcXNk9n3ZmNFMnGLUIIcdWpNni//vrr7tSesbGxzJs3\nj+nTp9d6xa4FDev443A6OZ1Us973hQy+rne/zV7OeUPpvDeAwseHgL790ISFYz5wAEeRZ8E33BgC\nwA8nVpJlzcZSVMD/ji9n3p+fe10fIYQQtava4G21WmnSpIn754YNG2K322u1UtcK97x3DRetXUil\nUmLw9anRsDmAvmkzAIwtW6P08cHYth1OayEF51ehVyfM1xW843MT0Kv1TL3lOaL96nEw84isQhdC\niKtMtcE7NjaWN998k6NHj3L06FHefvttYmJirkDVrn4NS1acny3/Ol1N+Jq05OdZa/TuuKlTZ1Qm\nE/69XDupGVu3AcBy+JBH95cMmwP0rdedEH0w3ep0AWBX6j6v6yOEEKL2VBu8p0+fTkFBARMnTuT5\n55/HYrEwbdq0K1G3q16Qnw4/g4bEtPzLUp7RpMVR7KSwwPt5Zm1UXRq+/R7Glq7MYSUZx2zJSR7d\nH3Z+2Fyv1tOrXlfAlYVMqVCyM2WP1/URQghRe6rdHtXf35/x48ezY8cO1Go1HTt2xGQqv93mjSoy\n2MjRhGxsRcX4aFSXVJZ7xXmuFb3B55LKUplMKA1Gj4O3XqMjrsldBOuD0Kv1ABg1BloENWF/xmFS\nLGmEG0IvqU5CCCEuj2p73kuXLmXo0KGsWLGCxYsXM3jwYDZs2HAl6nZNiAwx4gSSvdwZrSJGv9LX\nxU4cTuW7T3dQYKlZ8hOFQoFPRARFaWk4PVyj0KPuLbQMblrmWIfwdgBsPvcH6QUZsvpcCCGuAtX2\nvOfMmcPixYsJDw8HXFujPvLII/Ts2bPWK3ctiAw2AJCUYaF++KWNSJT0vM25Vk4cSSM9NZ+Ek5k0\naeX9JjAAPhGRFJ48QVF6Gj4RkTUqo3VIC9RKNWvObGDNmQ1E+UYyufNTNSpLCCHE5VFtz9vX15fQ\n0NLh0qioKDQa2byjRJ1gIwBJGeZLLqskeGdlmElOdC2CO5dQ88VwPhGuoG9LTq5xGXq1jlHNRnBz\nZEdC9MGczU8ix3rpq+uFEELUXLXBu0mTJjz00EOsXLmS1atX8+STTxIWFsaSJUtYsmTJlajjVa2k\n530u/dKDd8kWqccPpeFwuFacn0vIrnF5PpGu3rYtybN578p0jmjP6Ob3cEukK+/3qdwzl1SeEEKI\nS1Nt8HY6nYSFhbFp0yZ+/fVX9Ho9gYGBbNu2jW3bPE9+cb0KNGnR+ahIyrgMc97ng3fJanO9UUNO\nZgGW/Jq9+60JPx+8U8oG78Iz8RSbvf+y0cAvGoBTOfE1qo8QQojLo9o575I9zkXFFAoFkcEGzqTk\nU+xwoFLWPEW6SqXEYPTBYrbho1XRun0Uf2w6zbmEHBo1D/O6PJ+wMFAqywybF2VmcGbay/h360H4\nP/7pVXnRfvVQoJDgLYQQf7Fqg/emTZt45513yMnJKbN5yNq1nueLvt5FBhs5lZRHWnYhEUGGSyrL\naNJiMduIig4kKiYQNp0mKSG7RsFboVajCQ0t87qYNT4eHA4Kz3gfgHVqLXV8IziTl0ixo5gUSxrm\nIjONAxt6XZYQQoiaqzZ4T5s2jeeff57GjRtLRrFKuFecp5svOXj7+mlJS86jfmwQoREm1GrlpS1a\nC4/AvG8vxXl5qEwmrIkJgGsevCZZ4hr41edsfhInck4x/8DXWOwFvNl9Kj6qS3svXQghhOeqHeMN\nDAykd+/e1K1bl6ioKPd/olTJivNzl2HFeUSUPz5aNdENg1GplIRH+ZGZZq7RrmtwwaK180PnJcHb\naS3EnpXldXkN/F3z3p8fXESuLQ+7w05i/rka1U0IIUTNVNvz7tChAzNmzKB79+5otVr38U6dOtVq\nxa4lkSElr4td+qK1dl3q0aZTFMrzc+dR0YGcjc/m9LF0mrXx/l1tnwsWrekbN8aamOg+Z0tOQhMU\n5J3N464AACAASURBVFV5JcE7y5qNAgVOnJzOTSDWP8brugkhhKiZaoP3vn2upBQHDx50H1MoFHz+\nuaSKLBEaoEOtUnI0IZsiuwONuuaL1gB34AZo0jKcPzae4uDepJoF7/M9b2tiAg6rlaLUFPc5W3IS\nxhYtvSovTB+CUW3AbLcwOHYgy07+RHxugtf1EkIIUXPVBu+FCxdeiXpc01RKJT3aRrJu11lWbYtn\naNcGl61sk7+OerFBJJzMJCM1n+AwX6/u18bEoNTpyN+zG1PnW8DpRN+4CQXHjtbo/W+FQsGgmD6k\nF2YxILoXa89skOAthBBXWKXB+8UXX+TVV1/lH//4R4Xnpedd1t09GrLzaBrLN8fTuXn4JS9cu1CL\ntpEknMzk0N4kuvVv7NW9So0rt3fetq3kbv4NAN8OHSk4dpQiD5OWXKxP/R7uP0f71eNQ5lHMRRaM\nmsv3mYUQQlSu0uAdFxcHuIbN//Wvf6HX66lTp84Vq9i1xqBTM6pfEz5Ysp9v1x7jib+1vWxlRzcK\nRm/UcGR/Cjf3ikXtZfYy3w6dyNu2lZxNroQyuthGqIOCPc44VmXdzgfv+NwEWlyU1MRSVIADB74a\n4yU/RwghRKlKg3erVq680AsWLGDjxo1s3LgRu91Ojx496N279xWr4LWkQ9NQwgL1nDh3eff+VqmU\nNGsdye6tZzh9PMPrd76NrVqj0GpxWq2gUKCNisInMhLLgf0UFxSg0utrXLdoU10A4nMT3cF7zZkN\n/Hx6PWa7BQUKbo7syO0N+hGkC6zxc4QQQpSqdmVV27Zteeyxx5g7dy5/+9vf+OGHH/j73/9+Jep2\nzVEoFIT668j/f/bOOzyu8szb9znTNVUzGvUuuVdcKAaHHkKAEFKAFFI2u9lsNptswrcl+31LeiC9\n7qaQRkgITgjNgUBowdgY925ZVu8jjUYzmt7P98eZGWmsYlvWCOOc+7pyRT7lfd85EvM7z/M+JZIg\nlkjN69iLlsuC3XHCfdb3ilotxlWyJ0BTWoqo0+W6jM3VdZ6lzlIDQE9Arne+x3WAx9qfAgFWOpZS\nZixl59AevrTrWwyHz37tCgoKCgpTOW3A2he+8AX27duHSqVi48aNfO5zn+Piiy9eiLW9ISm26AEY\n80epcMyfu9juNGItNtDb6SGRSKE5S9e5ecMGgnt3o6uWxTYr3nHXEPqGxjmvy6qzUKyz0ebt4vcn\nn2DH4C70Kj2fXvdPVBjLSEtpXurbzqPtf+LJjmf4h1V3zXkuBQUFBQWZ01refr8fSZJoaGigqamJ\nxsZGzOZz61t9IePIindgbs1EZkIQBBqXOkkm0vR1jp31/cY1a7FsfhO2a64D5q/jGMBa50qiqSgv\n9+8glU7xdyvfS4VR7v8uCiLX1GymwVLLQfcRpS66goKCwjxwWsv7W9/6FgAdHR3s3LmTj33sY4TD\nYV555ZWCL+6NiN0iF7IZG4/O+9hNS5wc2NlLR6ubxiXO098wCVGjpfyDf5f7t7ZCDj6MtJ0853W9\nc9Et3FB/DaORMcxaIyUGR955QRC4temtfPfAj3m842n+9aKPKaV2FRQUFM6B04p3Z2cnO3fuZOfO\nnbS0tLBmzRquvPLKhVjbGxJ7gSxvgJIyE2arnp52D8lkCrX67Fznk1FbrRStWEn42FG5SYlz5ZzH\nEgQBs9aEWTtzDvqi4kZWOpZx1NNCu6+LRcVzd9UrKCgo/K1zWrf5pz71KYaHh/nQhz7Ec889x7e/\n/W1uvfXWhVjbG5Ks29zjn3/LWxAEmpY6ScRTDPT4znm84uvfDID3uWfPeawz4dpMfvhrQ3sXZD4F\nBQWFC5XTWt5bt25diHVcMNjNGbd5AcQb5MYl0IdnJEhdk+O0189G0YpVaCsqCezeRczjAQrbGazZ\n1oBDb2e/+zDvTt6KXq3LOy9JEr2BfmrN1YpbXUFBQWEWzq0It8IUtBoV5iINY/75d5uDHHUOMDZ6\n7h3MBEHAdv2bIZVi6Kk/n/N4p0MURC6pWE88FeeA+8iU83uGD/D1vT/goPtowdeioKCg8EZGEe8C\nYDfrGfNHkSRp3se22PSo1SJj7nMXbwDLpZtQmS24nn6GVDA4L2POxqXl6wF4ZWAnD7c+xhde+3ou\n//uQ+xiA0mJUQUFB4TQo4l0A7BYd8WSa4Bx7cM+GIAgUlxjxesKk0+lzHk/Uail+y42kIpEF2ft2\nGOwstjXR4+/jlYGdjIRH2TGwi1Q6Rau3DQB3eLTg61BQUFB4I6OIdwHI5XoX0HWeTkmMeyPzMp7t\nqmvQ2Gz4XnguZ31LkkTvvV9m8H9/MC9zTOatDddRb6nlziW3YVDr2TdyiC5/L5GkHCfgjnjmfU4F\nBQWFCwlFvAuAfVKVtYKMX5LZ954n17mo01H1jreTjkbx/uUZAOID/UQ72gkePEAqMj8vCVkWFTfx\nbxs+weaqy1jjXIkvNs5TXc/lziviraCgoDA7ingXgGyhlkKki8HkoLXwvI1Z/pY3ozKZGX/lZaRk\nkuChg/KJdJrIydZ5m+dUNpSuBeCktx1REFlkaySSjBBKzN9nU1BQULjQKJh4p9Np7rnnHu644w7u\nuusuenomymK63W7uuuuu3P82bNjA7373u0ItZcEpVInULPYSuW/2fFneACqdDvOll5IKBAgdOUQo\nK95A+ETLvM1zKouLm3ItQ5us9dSYqwBwR5R9bwUFBYWZKJh4P//888TjcbZs2cLdd9/Nfffdlzvn\ndDp58MEHefDBB/nMZz7D8uXLuf322wu1lAWn0G5zo1mHVqdibDREIp7kxOEhEvPQxcx6+WYAxp75\nM9GuTvSNjQgaDeGW4+c89kyoRBVrS1cBsMy+GGemtKo7rLjOFRQUFGbitEVa5sq+ffvYvFkWg7Vr\n13L06NTcXUmS+NKXvsQ3v/lNVKq5l/o837AatahEoWBuc0EQsDuNDA/4efoPRxjsGycaSbD2ktpz\nGldXU4uuppZoRzsApvUbEXV6wi3HSQb8qM2W+Vj+FK6vvZJoMspllRvpD8hpYorlraCgoDAzBRPv\nYDCIyTRR61qlUpFMJlGrJ6Z88cUXWbRoEY2Np69zXVxcdE61vGfC6SxMh7QSm4HR8SglJaaCVAur\nqinG1e9nsG8cgMHeca6/+dw+i9NpJnHDdXT97BcA1F59BaM6Fb0tx9EMdlNyxeXnvO5p58XMstp/\nBMAY1MAhCKT9BfvdnPG6Xuf5zyeUZ5GP8jzyUZ7HBAv1LAom3iaTiVBoYk82nU7nCTfAk08+yQc+\n8IEzGs/rnf8AJqfTjNsdmPdxAWpLTew5McLxthFKi4vmfXyjRS5lWtNQTCScoK9rjP4+Lzr93H6l\n2WchrrgIQa1GU+IkqDUj1TYB4Nq9H2nJ6rx70tEo6XgctWUeLfK0BlEQ6fe5Cva7ORMK+bfxRkN5\nFvkozyMf5XlMUIhnMdPLQMH2vNetW8e2bdsAOHjwIIsXL55yzdGjR1m3bl2hlvC60lxtBaB9YLwg\n4y9eWc61tyzjhnespH5RCem0RH+3l3RaorttlHgsOadxVWYz1Xf/BxUf/wQA+rp6RIOB8W0vM/DD\n7xHORJ6nYzF6v/olej73/5CS088V7epk9PE/Ip1FMRmVqMKhL1b2vBUUFBRmoWDiff3116PVarnz\nzju59957+exnP8vWrVvZsmULAGNjY5hMhXEpnw80V2XEu78w4q3RqFi8ogyNRkVdkx2A3k4P+1/t\n4c9/PMrxg0NzHtuwaBG6SjnqW1CpqPjYP6OrrSN08AD93/wa/ld3MPKbXxMfHCAV8BPr6512HM/W\nJxj701Zi/X1nNb/TUEIgEcwVbVFQUFBQyKdgbnNRFPniF7+Yd6ypqSn3s91u54knnijU9K87NaUm\ntBqxYJb3ZJzlZvRFGjpb3SQTspXr981fYRXjipUYV6wkfKKFwf/9Ia5f3A+AoNMjxaJE2trQN+TH\nLUjpNJFM4FvS44HaujOeryQTcX7Mc4KxqBeD2oDT4GCRrRGVeOEENiooKCjMFaVIS4FQq0QaKywM\nuEOEo/Nf43wygiBQ22gnHkuRTsvNUEIFyDEvWrqMmv/4LCqrDbHISNW/fAqASNvJKdfGXS7SmZiH\nhOfsIsedRbJ4//LYQzzR8Wcebn2UHxy8nxf7XjnHT6CgoKBwYaCIdwFprrYiAZ2D/oLP1bi4BICV\n6ypRqUVCwcIUiNFVVdPwlfto+Mp9GJYsRV1sJ9J+EkmSSPr9RLu7AYh2tOXuSYyenXgvKW5Gr9Kx\ntHgRH1x+J+9b+m4AWr3t8/Y5FBQUFN7IFMxtrjCx793WP87KRkdB56pfVMJtd11EaYWF3s4xQoF4\nweYS9XrQy4VoDIsWEdi9i4RriKGf30+st4f6L32VSPuE0CY9Zxd8VmWq4FtXfinv2PO9L9M53k0q\nnUIlqhgOjWDWminSGM79AykoKCi8wVDEu4A0VRU24nwygiBQnpnPaNIx1D9OOp1GFAvrXDEsWkxg\n9y5GtvyOWHcXAN7nnyPS0YZoMCClUmftNp+OJms9rw7tZiA0hIjIfXu+h1pUs650NW9tuC63T66g\noKDwt4DiNi8gRr2GyhIjnYP+3F70gsxrlhujhINnZn27XQECc6wGZ2iWUwDDR4+ASoXKYsG/4xUS\nLhf6xiY0dsdZu82no8lWD0CHr5tdrn1ISOhUWna59vHtfT9iNDJ2znMoKCgovFFQxLvANFZYiCVS\nDI7OXxOR02E0ywVcQqeIt9cTIhHPr4EeiyZ47MH9PPPY1PK1Z4K2qgrRILuurW+6iuIbbkSKy/Ma\nmhehLikhHQ6dc1vRZlsDAG2+TvYOH8SoLuLLl/9f3t70Vsbjfr5/4Kf4YhMejpGwW+lMpqCgcMGi\niHeBaaySq491DhU+aC2L0SRb3pMjzj0jQbb8bA97d3TnXesZCZFKSYyOBOc0lyCKGFetQTQacdz8\nNqybr0TQyfvh+qZmNA7ZnZ08R9e5Q2/HqjVz2H0MfzzAurI1aEQ119ddxVvrr8MTHePx9j8DEEvF\nuW/P9/jmvh8SVXLFFRQULkAU8S4wjRWyeHcswL53lqzbfLJ4tx51IUmyiE8mK9rnkhde9uGP0PDV\nr6O2WlEVFeG46Wa0VdUYmprROOQo+MRZBq2diiAINNkakJC3Hy4uvyh37q0N12PWmGj3dQLQ4+8l\nloozEh7ld62PIkkLt2WhoKCgsBAo4l1gqpxGtBpxgS3vfLd5Oi3RdnwEAL8v3xLNinksmiQWnVtJ\nVVGjQWU05v5tf+vN1H/hy4g6HeqSrHjPR9Ca7Dp36O00WCaKvgiCQKO1Dm/Mhzfqo8Mn9443qovY\nO3yQ7YO7znluBQUFhfMJRbwLjEoUqS+3MOgOEZljvfGz5VTLe7DXlwteC4xHSU+qNT7ZEg8G5t/F\nnLW8k/MQtLbMsRi1oGJz1aVTyuo2WGUx7xzvptPfDcAn1v49RnURj7Q9SV9g4JznV1BQUDhfUMR7\nAWistCAB3a6F6byT2/POFGo5eWwYAItNTzotEfTLx9PpNGPuiUC67PH5ZMJtfnrxTrjdDP/6lyR9\nvmnPlxU5ufeKe7iu9sop57LR6O2+brrGe3EaHNRaqvnA8jtIppP8/OhvlFrpCgoKFwyKeC8A2X3v\nzsGF2fdWqUX0Bg2hQIxEIkVnqxuzRcei5WXAhOvcNxYhlZJQa+Q/g0KUVFVZLAhq9Wn3vNOJOIP/\n+wPGt71MYO+evHNSMoln6xMkxsYo0himbWZTY6pCLajYN3yQSDJCo7UegJUly7i+9ircEQ9/OHnh\n1tJXUFD420IR7wUgW6zlZN84Pa4Ao/PYNGQmjGYtoWCcnnYPiXiKRSvKsBTLKV3Z4LSsy7ymXu5K\nNtdc79kQRBG1w3Fat7n74Ydy3ckSo+68c8HDh/A88Ri+F5+f8X6NSkOtpZpQUk4Pa7RO7Inf0ngD\nVaYKdrv244l45/pRFBQUFM4bFPFeAIrNOorNOo50evjCr/bwuV/uJnZKvvV8YzTrSMRTHN0v7/Uu\nWlGGxSancGUt76x41zXL6VyFcJuD7DpPBQOkY9OPHzp2lPGX/4qmrByYKt6nirqUTDLy0G+IZiq6\nZWmYJNhZyxvkHuHX1GxGQmLbwKt59zx04hHuP/LruX0wBQUFhdcJRbwXiFuvaGBNk4OmSguRWIrj\n3YWtCJbd9x7qG6ekzIS9xIjVlm95j47I+921mX7gBRPvEicwIcLpeJzQ8WO5FK5Iu9zEpPQ970XU\n60m4ZxDvzPFIZwe+F5+fYok3ZQTboDZQbizNO7e+bC1mjYkdg7uJpeTgvWgyxmtD+zg8epy0lEZB\nQUHhjYIi3gvEm9ZU8ql3r+HOaxcBcLD93KOvZyObLgaweIW8111k0qJSi3luc5NFh9Gkw2jWESyA\n2xzAtH4DAGPPPA3A8K9+wcC3v0E0I9pZl7qmtByN00nCPZKXmx3r7wMmxDvuGpL/fco+eqO1HpWg\nYpGtEVHI/9PWiGquqLqESDLCHtd+ANp9naSkFGkpTSC+cBXwFBQUFM4VRbwXmIZKC5YiDYc6PKQL\nWDwkmy4mCNC8vDTzs4DFqmfcG8XvixAOxnE4TQBYbXpCgVhBCpoULV+BvqmZ0MEDeJ7aSmD3awDE\n+vuBjDtcENDY7WhKSpHicVIBOTI/FQ7nxD0dDpEKhUi4XMDUbmVmrYn/s/6fuXPJO6ZdxxVVlyIK\nIn/t34EkSbSMTfQh98cXLg9fQUFB4VxRxHuBEQWB1U0l+ENxugpYuCUr3tX1xTkXOoDFZiAeS3Jo\nt2zNNi515o6nUhKRcGLe1yIIAo5bbwPA89gfc8cTI3IKW2J0FHVxMYJajcYpryfhlovKZK3u3D2j\nbuLDsngnvGNIqfzYgVpLNVadedp12HRW1pWuZig0TKu3nRNjEz3Hx2OKeCsoKLxxUMT7dWBNs5z7\nfLBtlH2tI2w7NDjvc1RUW6lvdrDhivq849mgteMHh9DqVDRlxDu7H16IdDGAomXLMSySO5BZrngT\nAPGRYaRkkqTPm9sXz4l3JjgtK966WjkYLeF2E89Y3qRSM+aEz8RV1VcAsLXzWVzhkZx7XRFvBQWF\nNxJKP+/XgRUNxahVAk/v7CHrpF5UbaXCYZz1vrNBq1Nz47tWTTmeTRdLpyUWryhDo1HJxzPiHRiP\n4iyf3nI9FwRBoPSuDxHYtRP7W28muH8viZERed9aktBkyqhOWN4Z8c4Eq5nWrSfW20N82JUXjZ7w\njOaan5wJDdZa6iw1dPvlcZfZF3PMcwKf4jZXUFB4A6FY3q8Deq2aNc0lSECFowiA9gVqXJK1vAGW\nramcdFwW72CBLG8AXWUlJbe9E1GnQ1NaRsI9knOPqzOV2DQl8v78hHj3gUqFcdVqAMItxyGVApX8\n0jGXbmVXZ6xvgEvK1wHgP43lfczTyiMnn1SqtCkoKJwXKOL9OvGRm5bxzY9v4qO3rACgvX9hxNua\nsbxLK8yUlJlyx7OiXqh0sVPRlpYhJZNE2uSgsazbXO1wgCDIEefpNPHBAXSVVWjLKwBy1xuamgF5\nv/xsuah0FTadlWKdjaV22ZU/PovlfczTyk8O/4qX+rfz/QM/IRCfW/tUBQUFhflCEe/XCb1Wjd2i\np7rUiE6rylneI94wfz04ULBIdJu9iMuvbeaqG5fkHc/uec+WLnbgtV72ndIPfK5oSmULO3z8mPzv\njLtc1GhQFxeTGB0lMexCisfR1dQg6nSozBbZ6gaKVqwE5tZqVC2quXv9x/n0un+iSG1AI6pn3PNu\n93Vx/5FfIwoCq0qW0xsY4Dv7f0RwHlLLRiMeUunCFutRUFC4MFHE+3VGJYo0VlgY8oQJRhI88Ewr\nv36mlV2ZZiLzjSAIrN5YjaPUlHfcZNGj1oiMDgenTRcLh+LsermT/a/1zks6mbZMzj3PVknLNjAB\n2QpPesfwvvgCAPqGRvl4RuABjMtlj8Vc3OYAdn0xDkMxgiBg1VqmFe/xmJ+fHXmQlJTi71fexT+u\n+iDX1GxmOOzmp0d+TSI99y5xA8EhPr/z67x8SsU3BQUFhTNBEe/zgEXVcu3z7YeHaOmRa28/uq2T\nRHLhqn6JokBto4Nxb4Sx0alWZduxYSQJkon0nPt+T0ZTKos3kgQqFeri4olzzlKQJMZfegFNaRmW\nyzdnjmfEWxDQVlWjsljm5DY/FavOgj8eJC2leb73Zb6z/0fsHTjEL489RCAR5B3NN7OyZBmCIHBb\n802sK11Nx3gXD594dM4vMh2+LiQkev3957x+BQWFvz0U8T4PaM40Lnn8lU4AakpNePxRXjqwsD2o\ns2ljnSfyy5NKksSJI67cv7P74scODLL9+TbmgjYr3oDG7kAQJ/4UJ1vYZXd9EFGrzTuudjgQtVo0\nJSUkxjxI6dlfcqK9PQz95H/x/uXZac9bdRYkJALxIC/1bafd18XXt/+YNl8na50ruar68ty1oiBy\n17I7qDPX8JprLye8c/v8/UG5Stxo5Ozd/goKCgqKeJ8HNFZaEYB4Mo3NpOUzt6/BoFPxp1e7icTO\n3co9U2ob7ahUAh2t+eI9OhzM7/sdkPfFj+zt58jeASLh+FnPJZpMiAZ5nz2bJpZFm2lQYr5sE0XL\nlueOZyPRs+c1jhI513t8+mC/dDSC6+f30/vFzxHYs5uxp/80raVs1cotW7v9ffhi4zRY6ri4ei1N\n1nret/TdU1qQalUabl9yKwAv98tu73AizM7BPUTPMBp9ICfeha1xr6CgcGGiiPd5QJFeTZVTzvG+\nam0VVpOOK9dUEYwk6CxgFbZT0erU1DTa8Y6G8U5ynZ84LFvdzctk8Qz65TKqp7YWPRsEQch1EVOf\nIt6mi9ZR/nf/QNn7PpC/vsw+ubZCTnHLppclhl2MPvoI4ZOtuWvjwy56v/ol/Dt3oKutQ1ffQCoY\nmLY1qVUni/ch91EAVjuX838u/0c+s/7jFGkM066/3lJLrbmao6MteCJj/OLYQ/zmxB/4yu7v5FVu\nm460lGYwI96BRPCMBV9BQUEhiyLe5wnrl5RiLtJw5VpZmGozaVwuT3hB19G0JOM6z1jfqVSa9pZh\nDEYNy9bI6VqhQIxQME4qJVuxo8Nzi7zWZiLOs2liWQS1GsumyxH1+rzj+uZFlN71QexvuVG+LyPe\nww/8krGn/5QrvZpOxOn7+r3EBwexXXc9tf/135g3XgxAtKtzyjqy4n149DgADZa6KddMx5XVm5CQ\n+NHhX9IydpJSQwm+2Dg/OHg/xz2tM97njniIpyfK0Hqihekx3jnezb7hQwUZW0FB4fVFEe/zhFuv\naOA7n7gCa6YOebba2pBnYbtd1TWXIKoE2o7Lnb36u71EI0mal5bm5YL7vZHcPXOxvGEiXexUt/lM\nCIKA7cqrUduK8+7LFnqJdHaQjkaInDxJanwc61XXUHrn+xDU6lzE+qk9wGHCbR5JRhAFkTpL9Rmt\nZ33pGoyaIoZCwxSpDXxq3T/yqYv+EQGBrZ3PzhjMlnWZZ+cdjXhIpJP8+viW01rtZ8MjbVv55bGH\nCCcW9gVQQUGh8CjifR4hihN7q+V2ufLa0AJb3jq9msYlTryeMIO9PjpaZGFsXlaaa3ASDMRyLnOY\nu3hbN1+J9cqrMK25aE73a5yy+KusNiybroBUinBrK6EjsrVpzrQiBdDX1YMgzGp5A1SbKtCqtFOu\nOZXYwAC+xx5jc8UlANy55DZsOivNtgYuKl1Fb6Cfo56W3PVpKc3+kcPEU3H6A3It+zVOOd3NHfHQ\n5u1gl2sff2h7ct46u3kiY0hIdGVKwSooKFw4KOJ9nqLTqnBYdAtueQOsXFcFwKHdfXS1jWKy6Cir\nsqBSixiMGoL+KH6fvE8rigJeT5hU6uzT2jSOEsru+tAU9/iZoi0vp+yDH6bm3/4DyyY5Ijx8/Bih\nI4cRdPpcIxQAUadDW1lFtKd7SieyyV3I6s/QZe576QW8zzzN1akG7rn031hftjZ37q0N1yMg8FTX\nczkhfrHvFX5+9Dc83PoYA8GseMuFZjyRMTrGuwFwhYZp8019wThboskYwYT8t9M53nPO4ykoKJxf\nKOJ9HlPuMOILxhc04hygvMpCSamJno4x4rEUzctKcxHXJrPc93s8Y3lX1dlIpyW8o6+Pa9a6+Uq0\n5RXom5oRtFr8u3aSGB7GuHwFgjq/746+oQEpHic+lN/FTa/SoxU1gNy45ExI+uR9aingp6wof8++\nwljGutLV9AUG2Dm0l3AizLPdLwKwy7WPVm8HVq2FeksNIFveHb4Jd342gv1cGJu0j97p6z7n8RQU\nFM4vFPE+j6nIuM5dYwsrjIIgsGL9RNOSbJQ5gMmiI5WSGBn0I4oCdU1yR6+5us5PJRadWz9xUaPB\nsHgp6aC8DuPq1VOuye17n+I6FwQh5zpvtJ6Z5Z30yuI4U5raLY1vwaA2sKX1UR44voVwMsLGsnUI\nCCTSCarMFejVekwaI8NhN93+PiqN5VSZKjg8eox9wwf5TcsfODBy5MwewClMFu9uf29ByrBKksTB\nkSPEU2efKqigoHBuKOJ9HlNRIgetDU5T8azQLFpeht6godhRlNfAxGSW9739vihmq56STPvQ0Uni\nfeC1Xp747QGSybMTjP5uL7/47g76u+cWfZ0tmQrkupBNZkK8pwatLbMvptFaj0NvP6O5spZ3agbx\ndhY5+PuV7yeNxFFPCzadlfcufWeu4Eu1SX45KjE4GIt6SaQTNNsauLJ6E2kpzS+OPcTOoT384thv\nafN2nNGaJpMVb6O6iHg6kQuSm0+Oj53k/qMPsm1g57yPraCgMDtKP+/zmDOxvOOJFC8dGOBNayox\n6Obv16nRqHjXh9YjqoS8IiVGiy73s8Wmx5HJT89a3iePunjtr7Jl6+ofp7r+zMQQwJVpzuIaGKe6\nvvg0V0+laIUs3rqa2lxE+mR0lVUIGk2e5R0+0UIqGOCODbdNO2asv49oZyeWzW/KPQcpmSTl9GRA\n1AAAIABJREFUl/PvZ7K8AZbaF3H74rfzx7YneUfzTWhVGm5pegsWrZmLK+RWpCUGe663eJO1ntXO\nFRwZPY5RbaTBWsuWk49z/5EHeVP1Jjp8XYSS8t/CJeXrubb2TTPOnU0/u6h0FdsHd9E53kPtGUbR\nnymukFx/fzg0Mq/jKigonB5FvM9jsr2+sxHnwUgCk0GTd82u48NsebGdSCzJ2zc3zuv8ZuvUQLKs\n5Q1gKTag1amx2PQMD/rZ9uxJWg4PIQhyyfL+bt9ZiXc2/SwwPreiJdrKKkre+e6chX0qglqNrraO\naFcn6XgcUavF9YufkRzzkHqvH9s11025Z/SxPxI6dJB0PEbxdW8GIOkflz8gs4s3wOaqS7m0YgMa\nUf5PTafS8ub6q3PnSwyO3M9Ntga0Ki0fW/3h3DFREPntiUf4c/fzCAjo1XqiySgv9W0/I/HeUHZR\nRry7uarm8hmvnwvuTGnX0QLlqSsoKMyMIt7nMRajliKdmiFPiAf/0srLBwb519tXs7Jh4gt/MBON\nvrtlhFuvaJhSynO+MVkmBN1ilauPNSwu4dDufo4dGEQQ4M1vX8FzTxxnoOfsvtSzEezZ/z9bBEHA\nfuNNs16jb2gg2tFOrLcHtaOE5JgsQCMP/QZRb8hFrWeJD8nuZvcftqBvbMbQ2EjS58udT437mA5J\nkpBiUUS9ISfc05EVb7u+mGK9bcr5TZUXU6Q2kEZicXETJo2R/zn4c46PtRJOhCnSFE077ljUi1pQ\n0WSrx6wx0THejSRJ8/r3ka3L7lHqsysoLDjKnvd5jCAIVDiKGPKEeWm/3OP70Zc78/KAs1a5ayxM\n3zwFjc1GnuWdKdqy6ZpmPvypy3nXh9bzvo9dSuMSJ6WVFtyuALFogmQyxehw4LRjZ3PH52p5nwn6\n+gZADlqLdrQDcg11scjI8G8eIB2dmFtKJkmMulFZLJBOM/ST/yGdiOeC1SBjhU8iOe7D9auf0/Xv\nd9P+iX8iePDArOtxZsS7yVo/4zVrS1exrnQ1Jo28RVFpksvKDgRdedeNx/x4o/LLxFjES7HehiiI\nLLUvwhcbZ89w/loGgy6e7315zsFsWct7LOpT+pIrKCwwinif55RnXOcWo5ZldcV0uwIc6piwdCbv\nh+9qKUwP8MkUmSYKmFiLJ+p+6w0anOXmnKu9qs6GJMFg3zjPP9nCH365b9aI9GQiRSgoRy0H/VHS\np+kUNlcmV1rLird185XYrrkGKR4ndGwiujvhHoF0GuOqNViu2EzS4yHW25sLVgNI+f15Xc38O7bj\n3/4K6UQcRJHRRx+ZtetZo7WOmxqu58aGqS77magyyWVqB0L5QWg/OvxLvrnvf4gmowQSwVzw3S2N\nN6AVNfyxbWsu91uSJB44/jCPtT/F093Pn/HcWVLpVC4oTkJiLDq9B0JBQaEwKOJ9nrOmqQSHRce/\nvHMV77luEQLwxPYuJEkikUwz6otSX25Gr1Wxp2Vk3qpzzYRKJWLMCPh0e+JZquvkgLHd27roOik3\nA+lum7n3tn+StS1JE21HsyTiqXn5bJrSMsSiIqJdXUQ6O0AU0dfVY1q7HoDggf25a+Mu2bLVlpdj\naGwCIDbQn7O8VTYbSBKpgH/KPbX/+X+xXLqJ+OAAwX17Z1yPKIi8teH6Kbnis5EV78FJEeTRZIz+\nwCC+2Di7XfJnsGfc8A6DnZsa30wwEeKxtqcAODx6jP5MsZhnu1+ctRb7dHhjPtLSxEvJaFRxnSso\nLCSKeJ/nbFhayjc+fjlNlVaqnSY2LC2lxxWgpcfLiC9CWpKoKTVx0SIno+NROgcL34Wsur6Y8moL\n2lmi28sqLajVImPuUCZiHXo6Z25/mXWZq9Xyn+Rk17nbFeAX39tO6xHXtPeeDYIgoK9vIDEyTLS7\nC111DaJOh66uDrXdTujwIaSkXBQnK8SasnK0VXJBlXh/f87y1tfVA/lBa/GRYRBFNCVO7De/DUQR\nz9bHT9tz/GwoK3IiCmKe23wgOISE/HLzQt8rANgnpb1dXX0F1aZKXnPtZWvHMzzV9RwCAh9a/h5U\ngsgDxx/OWeVnQtZlXpKZY6FbmwYTISXKXeFvGkW832C8aY2cH3y0cyzXcazCYWTDUtlym+xSLxTX\n3LyM296/btZrVGqR8morAOsuraWsysrwgH/G3t9+ryzWFTXyPZOD1loODZFOSQz0zI9rNheNnkqh\nb2oGZFE3rV1HOhzOtRaND09Y3rqqKhAE2fLOBKzpauWCLpNzvRPDLjQlTgS1Gm1pKZbLLic+OEhg\n92vzsnYAtaimvKiUweBQzvrtCwzkzmcDyRyGiXQ5lajio6s+gNPg4JmeFxkIDrGhbC0byy/ipgbZ\nKn91cPcZryE7x1L7IkAu8bqQ/OHkE9y39/tElHaqCn+jKOL9BqO52opaJXC8ZwzXmGwplduLWFJj\nQwDa+8+fvccNV9SzemM16y6ro65JttD6uqaPQM9a3lWZ/O6s5S23JJUtrLF5KlaTDVoDMDQ15X42\nrcu6zvcBshAjCGicpYg6HZoSZ0a8vajM5lxL0qzlnQqFSAUCub7jAI5b3oagVjP6xz+QjuVvBZwL\nVaYK4ulEzuLNivfkCnF2fX6uu8Ng5zPrP06VqQKNqObG+msBuKLqUrSihlcGXstzhc+GOyfecv34\n0ejCivdQaJh4Ko5Lsb4V/kZRxPsNhk6joqnSSt9wkI4B2UVe4SiiSK+hymmic9BPcg5NQgpBRbWV\ny69tRqUWc2VUeyd5BlKpNAM9XiRJyol3dq88K969nWPEorIb2+sJk06f+7735DxwfWNz7mfDosWI\nRiPBA/uRUiniLheakhJEjZxbr62uJh0MkhgZQW2zobbKXoJkJl0sPiwHDGrKynNjakqcFN9wI0mv\nl7E/P3XOa89y6r53X3AAjajhhrprctc49FML1Vi0Zv5jwyf5wmX/SZlRLntbpDGwsXwdY1EvR0db\nptwzHdmXhkZrPRpRPed0MVdoBF9s9lz56fBFMwV9QoUP0lRQOB9RxPsNyLL6YiTgUMcoKlGgJJOy\ntajGSjyZpucM0rIWGrvTiNGso7dzLCfAh3b38eTvDtF6xIXfF0WnV2N3GhEE8I/LYt52TP5yLi4p\nIpVMz0samdpmQ+N0oi4uRuOcCBQTVCrM6zeS8vlwv7KdVMCPpqwid15XJXdbI51GbStGlRHvrNs8\nkXWzTxJvAPuNN6Gy2fA+8zSD//sD+r75NcItx8/pM1RmI86DQyTSSYZCw1SZKlhmX0yR2oAoiHmt\nTiejElVTzl1ZvQngjEudjkY86FRaLFoTDr2d0cgYwXiIHx/+FX/ueoFo8vRehmQ6yTf3/ZAHjm85\nozmzxFPxXKW5obAi3gp/mxRMvNPpNPfccw933HEHd911Fz09+W0JDx8+zHvf+17e85738MlPfpLY\nPLoUL3SW18kuaEmC0mIDKlH+NS7K7DG39Z29JVNoBEGgrslOLJrE1S+vr+OEG5BrofvHo1hselQq\nEZNZR8AXJRZN0t02SrGjiMUrZFf0fLnOqz75aao+/W9TipZYr5Krn/X8+reAvN+dRZcJWgNQFxdP\nY3m7ptwDIOr1OG+/EymZJLh/H5ETLQz+z/eJDQwwV6qyud4hF0NBF2kpTY25CpWo4n1L38Wdi29D\nFOS/i9HH/kjnv9+N+5Hfk3C7ZxivgiZrPS1jJ09rzUqShDviocTgQBAESgx2wskIf2zfypHR4/yp\n61k+v/NrubKvMzEYchFJRukLDJw2kyCeSuT2t72TLHXFba7wt0rBxPv5558nHo+zZcsW7r77bu67\n777cOUmS+O///m/uvfdefve737F582YGzuGL7G+N+gozOq0KkPe7syyullOD2mbY906m0gVPJZuN\nbHey1iMuAuNRRoflvG/fWIRUMo3FJueNm616QsE4+3f2kEpJLF5ZRnGmSYt3nsRbW1GJrrJyynF9\nbR365kXEPbIbeLIVra2aqA2uthWjMltAEHJ1zhMjWbd5GadiufhS6r98H43f+i7lH/0Y6WiUwR98\nl2RgbtkBVq0Fq9ZMi6c1V3ylJtPsZG3pKi6vuiR3rX/XTpJjHrzPPE335/9fXiGayVyTKbf6TKZ9\naZbxqJ9H2/5EOCF7Q/zxIPFUPFdgxpH5/92u/ZTo7by57moCiSDb+me34nv9/QBEkhH88dkLDP38\n6IPcu/u7SJKUc5nDzG7zcCLMYfcxYkrHM4ULlIKJ9759+9i8eTMAa9eu5ejRo7lzXV1d2Gw2fvWr\nX/H+978fn89HY+P81uW+kFGrRJbUyEKdLeICYLfocVj0tPWPTxFpbyDGJ7/3Clt3dC/kUvOorLVh\ntuppPzHCyYw7fPXGCUG0ZIq+mDMifnBXH0azjpXrqrBnxHuy5Z1Opzm8p3/eBD2L7eprcz9PtqK1\nZWW5HuFqWzGCKKKyWHLR53GXC0GrnbYpSnYstdWG5eJLsd9yK4lRN/3fuI+ENz+ILzbQnxfcNt0L\nlyAIvHvx24mnE7yYSQ2rMVdNuS4VCJAcHcWwdBmmDRuRYrGch+BUVpcsp8pUwd7hg3kW7TNtL/NC\n3zZ2DO4CJiLNs6VdSwwTKWm3NL2FmxquR0DAc5ogtt5Af+7n4XC+Be2LjeeqxUWSUY6PncQTHWM8\n7scbm3g59US9UwQ6nAjz3QM/4SdHHuC/tn+Z3598QmlbqnDBUbDa5sFgEJNpopWkSqUimUyiVqvx\ner0cOHCAe+65h9raWj72sY+xcuVKLrvsshnHKy4uQq1Wzfs6nU7zvI+5EFy8soLDHR6WN5bkfYZV\nzSX8dX8/MUmgpnTi+J62UaLxFC/sH+ADt6xAM82zXIhncdEltWz7y0n2vypvo1z71mUkYilaDg9R\nVW3D6TRTXmnN5XTf/K7VVFUXI6Ul1BqRgDeaW+czjx1l9/YuVq2r4rb3zZ66djY4brgKzx8eJuHz\nUb68GV3JxHMZrKkh1NWFva4Cu9PMgN1OZGiIkhIT7SPDGCrKKS2znnaOko/cRRdJhrY+xeA37mXl\nl7+AvqyUmNvNvi9+DlNzMyu/+kUSXh9H//tzFG9YR+M/fCRvjDc7N9Ef6+Pgq8+hEgRW1zejUeU3\nrvH2yVXkHKtXoLGYCe7dgz7in/F3/Z41b+ObO37CS0Mv88nL/g6A40dOAtAWaOe9zlt4zSO/eC0q\nq8XpNNMUr4I2aCiu4YYVlyMKInaDDV98fMo8+waPUGEupdJcxuD+iSIzIXFiTf5ogK/v+D5qUc0P\nb/4SB4Y6c1HwMU2QhFr2HJSZnAwH3cS1QartcpR9NBHley//moHgEKvKljLgd/Fy/w5iRPjXTR/J\nbSWcK2/U741CoTyPCRbqWRRMvE0mE6FQvpWkzlgtNpuNuro6mjJpOps3b+bo0aOzirfXO3NbzLni\ndJpxu8+/4K4z4eLFJYhvW87SakveZ6jJtOjcdXgA/doJS+zVg/K2RCAc59kdXVyyPN+1u1DPoqZR\ntkqTyTRllRaisQTrNtWSliSclfIa1Fr5C7ZhcQn2MmNuXTZ7Ee6RIMPDfo4fHGT3drkv9/CQH7c7\nQDqd5k9bDlPX7GDNxprpF3CGNH38Hxk5dJzxtAZh0nNRVVRBVxdhtZGUO4BkNJOOdjF4rJ10NIpY\nUnrGz9H0tnfhEDR4nnyctgceovzDH2F8xx6kVIpAayvHf/gTou3txFwuXM/8BcM1b0FtyQ80u6Hy\neuq3P4YqmcZzkweV0Zh33nNIDoxLl1YRy8RGeNq7YenUfucA9dpGqk2V7OjdyzWVV1Gss9Lm6Qag\nxd1O79AI2zp3Iwoi9bpG3O4A5apqLqvYyFXVl+PJeEFsWiud4z24hn2oRPlF0Rv18bVX/5caUyV3\nr/9nesYH0Km0xFJxOob7cFsDSJLE/UcfZDwmP8MdJw9yxDMRAd862MNAUH55WGJtZjjo5nh/F+aU\nbP1vaX2ck55ONpat4wPLbyctpfnBwft5rX8/v9pdzC2NN5zR72Y23sjfG4VAeR4TFOJZzPQyUDC3\n+bp169i2bRsABw8eZPHixblzNTU1hEKhXBDb3r17WbRoUaGWckGiVolcurw8F6yWZWmt7E5vmdTR\nK5FM0dLjxWKUy5q+fPD1iy+w2AxUZtbYsLgkd+yam5aiz7Q7bVxcwqZrm7jqxiV599pLjKSSaY7s\n7Wf7c23oDRqKjNpcmtn4WISBHh8th/Jrfs8FxyUXU3LbO6cEtDlufTtlH/5ILvI8G7QWOiZvC50a\naT4bgiBgv/ltqMxmQseOIEkSkRMnAFBZLIy/9CKxvl40ZWVIySTjr7w8dQzfOLpIAnUihe+lF6ac\nj3bLLzj6+vpc/nlieOaANEEQeHPdVUhI7BzcQ9d4L8l0Eq1KS1pKs31gFz2BPpYWL8KklV8UdCot\n71/2bqrNEzEEDoMdCSkvuKzNJ/dR7wsOsnNoD2kpzVrnKgBcGbf5btd+DrmP5iq37XLt58RYW26M\n4bA7l1qWzTHP3htJRnjNtZdinY27lr0bURBRi2r+YeUHKNHbeab7Bdp9XTN+dpB7k//gwP20jrXP\nep2CwutNwcT7+uuvR6vVcuedd3Lvvffy2c9+lq1bt7Jlyxa0Wi1f+cpXuPvuu3nnO99JeXk5V111\nVaGW8jdFub2IYrOO491e0pm90tZeH/Fkmk0ryllaa+NEr4/hsfn3ZJwp6zfVUVppzkWQn4pao2LN\nxpqcmGexZ7wKr77YgUotcuM7V1JSZiIaSRKLJvFlPpN3NJzLDQ+H4sRjyXlbu8ZRgvXyzRNrtcsi\n437oN/L5aYLVZkMQRYqWryTl8xHv7yfcegLRZKL60/+GaDBQtHwFtZ/9bwSdnvGXX0JK5XfvinZ3\n5372Pf/clEIwsZ5uVDYbaluxXFRGFOUSrrOwumQFRWoDu1z7OOGVhfO6GjmY7amu5wBYV7Zm1jGy\nOeaTK69NFs4nO58FYElxMzadFVdohFQ6xWPtT6FTafmXiz6KQ2/ngPsww+ERmqxyYZ3hsBtvbByd\nSkuDtRaQC7YAvDa0j3gqzpuqLstZ+wAmrZH3L7sdgFdmSYWLp+L87OhvOOFt49ctW5TqbQrnNQVz\nm4uiyBe/+MW8Y02TqllddtllPPLII4Wa/m8WQRBYXl/MjiMu+oaD1JWbcyVTVzc5qC03caLXx8sH\nB7n9muZpx+ga8mPQqfMi2eeT6vpiquvXn/V9xZngPFEl8JZ3rKS82pqLUPf7IvjGIrlr3S4/5dVW\nfv/zPdidRt72nrXTjukZCRKPp6ioPv0+9bRruvZ6BFEkfPwYiTEPRUuXnfUYxpWrCOzaie/ll0iO\neTCt34CupobGb3wbQadHEAQsl21i/K8vEjx0EPO6iWcX65W9V/qmZqId7Yxv30bxtdcDkPT5SHq9\nGNdeBICgVqMpcc5qeQNoVBo2lK1l28BOtvW/iiAIXOncwLaBnQQTIdSCijUlK2YdI1tX3ROd8AC1\n+7rQqbQUqYtyQWe1lmrKipy0ets5MnqcQCLIldWbKDHYubj8Iv7cLXsTLipdxWhklOGwm1gyRrHO\nhlljwqgpYjg0QlpKs23gVdSCissqN05ZT7OtgfKiUg6OHCG4KJTzGkzm9yefYDDkokRvZzQ6xtbO\nZ7h98dtn/ZxzIZFOIkkS2lPiExQUzgalSMsFyIp6+YvzWPcYkiRxuGMUvVZFc7WV9YtLsRq1vHxo\ngHB0qkWaSKb4+kMHuH/rsYVe9mmpqrPRuKSEt9y2kpoG+TNaiuUCNX5fBK9nwpswPBhgsNdHJJxg\noMdHMDB9HYHnnjjO4785wLEDc9tKUJlMOG65lZr/+C8av/atXMnUs6FoxUqAnFvcsGQpAKLekHPb\nZyPgRx58AN9LL+Sap0R7ugEo//BHELRafM//JRednj2XbaACcsR8KhggFZ49Qv/Sig3yGKkYl3nN\nDH76M9z6WhR9NM1yx1KKNIZZ789a3mOZiHPXc0+T7h+g0VrPpoy4alVayoqclBXJKYRZoV5XKlv1\nG8suyo23pLiZ0iInY1EvoWQYm86KIAiUF5Xhjnj4xbGHGAmPsq5sDWbtRKBsFkEQuLzqEpJSit2u\nfVPO7xjYxc6hPdSaq/jPi/+VsiIn2/p30jU+e676XPjpkQe4b893X9e0TYU3Pop4X4Asz4p31xjt\nA+O4fVFWNNhRq0Q0apE3b6whEkvx0oH+Kfd2uwLEEil6h4PnTZnVLBqtmhtuW0ldsyN3zJqxvMe9\nkZzbHGB40E9320TJzq7WqcVJYtFkTvC3PdvGM48eZevDh/jrn1sX9ItVbbHITU4yLvGijHhPRldV\nRcm77yAdjzHy2wcZ/PH/IEkSsZ5u1CUlaMsrMK5aTcLtJjEi7wFP7HdP1HLXnMG+N0CtuZoKo3zt\nsgH5RaGkdYi7nh7jCupmuxWYaIriiXpJeL34t/yeS46EaLY1clnFRkRBpMFSiyiIlBnlKnf9wUFs\nOmuuPnuZsZSlxYuoNJZTYSzLlXMFsOllT8klFevQqDQcGDkMTFSKm46Ly9ehFlRsH9yd9/s96W3n\n4ZOPYdQU8ZGVd2FQ63nPkncgIfFo+9Z5/VsYj/k57mnN27vPsn/kMA+deOSM68vPhit0+vbAqXSK\nB44/fMYlcRXOLxTxvgCxGLXUlJpo6x/np08eQwCuWz+RT33VRVUYdGqe29OHPxxnd8swQ5ko4faB\nTJONtMSQ5/XbFz9Tsrnh494IPk8Ym92AyaJjZNBPT4cHTaaYTcc04j2aKSPbuMSJyaKj6+Qo/d1e\nWg4NMeJa2OhZ40o5cEtlMqOtmFo8BsB+w400fPXr6BsaCR08QPj4MVKBAPpMd7OipcsBCJ+QI8yj\nXXKAmK6+PjeGtlQW5Mn73smAn8DuXXn76YIg8KaqTSBJmHu9qExmSt55O0XRNMZH/kI6MXvedLHO\nJud6R7y5fue2YIpmWwPFeht3r/8471/2bgDKiyZEeX3pmrx0rn9a82H+Y+MnEQQhr+d5sU4Oery8\n8hK+sfnzfHrdP/GJtX9PvaV2xjWZNEbWlq5iODzCd/b/mCc6/syjr/yS4OfupXw0wUdXfTCXs76o\nuIk1JSvoHO/hyOjcStlu63+VXUP5Vv7hSWNl+6ln+WvfDnYM7mY4PH0VvCyu0DC/bXmEUGL6/z5b\nx9r50q5v5vq6z0RfcIDdrv25OgEKbywU8b5AWVFvJ5lK4/HHuPWKBpbUThQOMejUXLOuCn84wd0/\n3MGPnzjGtx6Sv2Ta+yesgb6R8z/9w2KV3eYjQwFi0SQ2exGlFRYi4QRBf4z6Zgfl1VaG+sYJB/Nd\n526XXNWraamT9/zDxdz59xu58kY5gjlbROZUopEEHSfcuAbGiUUTueODfT4e+dXeXOT72VKUEW/D\nkiUI4sz/WaqtVorfcqP8mX/7IAC6jFu8aFlGvFtaSAWDRE60oK2qRm2eSC/LNk3J9iqX0mkGf/h9\nhn76I/q/801SgYnf+eaqS/n84o8ieccxLFmC/ca3Yr36GuKDg3gee3TWz6MSVdh0VjzRMVJB+Tlb\ngylqzfJLZL2lNtf1rHySRb3+lEA4tahGLcqhOfnibc27ptnWwDL7Yk7HTQ3XU2epoXO8m7/0vIT3\n8D5M4RS3hOpotjXkXfu2prcgIPBE5zOk0vKLjSRJPN7yLD3+vlnnkSSJx9qf4omOp/OOH3JPFKua\n3MYVwB0ZBWAgkC/qp7JjcDevDu3m+d6p2QdAbm0nvR2zjjOUKcTT7e+dYu0PBIfm1DBGYeFQxPsC\nZVWmi9fy+mJu3lQ/5fz1G2owGTRYjFpKbQZae7yM+CK0D4yTTY7qG5m9ZOX5gFqjwmjWMebO5Bc7\niiirnMiLrGt20LRE/tLvahvNu9edsbyd5SbUGhXFJUYaFzsRBDh5fHrxfuUvJ/nL48d47MEDPPDD\nnblGKZ0n3LhdQQ7tnv1LfSYMixZT+r67KHnHu057rWntOtTFxblyrNk9bU1ZGeriYiInWgjs3Y2U\nTGK5NN+NnLW8s/eOb/sr0Y52RKORyIkWer78+ZzYCoKAtksWkmwgnvNdd6ApLcP73LNEOmZPp3IY\nihmP+fF75bnUKRAD+XvtCY8HU1zEpDFSaijJift0lBVNdZufLaVFTv59w79w3xX38C9r/4Gr9fIL\nj90zNSai3FjGZRUbcYWGcyVoB0MuHjr8OH9s+9Os80SSEeLpBOPxANFM1HokGeGktyPnNegPTqQ0\nRpNR/PHAlOPTMZKxzLf17ySSnPqyOJJ5CZhcwW46sqVlY6l4LmIf5IC6b+37H37T8odZ7z8TosnY\naT0JCnNDEe8LlKW1Nj5zxxo+8Y5ViKIw5bzFqOVb/3w53/inTdy0SXa7PvVqN4FwgpWNsvC/EcQb\nwJrpqgZyIZfSStnSFEWB2kY7jUvkILJdL3fxwtYWXJmtgVFXAK1OlYtYB9AbNJRXWxno9RIO5buG\nQ4EYna2jWIsN1DbaSSXTDA/KLuHs3nnr0eE5paYJgoDt6mvPKE9cUKmwXnn1xJoz4i0IAkVLl5MK\nBhh7aisIAuZLLsm7V+1wIKjVxIeHSfp8jP7xD4gGA3Wf/zLWq68h6fEQPDjhbg23ynnnuSA6nY6y\nD3wIJAnfC8/njS1JEv5Xd+TKxTr0cq73oZ69uWsS7okyqOl4nJ4v3oPrpz/iX9d9jH9e+/dT8uon\nY9fbclZ4VgDniklrZKl9EZox+fcX7e2edo/4+rqrAHL7wv0Zq7hzvJtgYuagv8n57SNhWUyPeVpJ\nSSk2VW7EpDHmxoKJ/uggW70gd13rDfTT4+/LS7lzZcQwmoryysBrU+bOzjcUGp61tvvkuvCd4xON\no7xRH7FUnG5/75RnEoyHziqF7oHjD3Pv7u/M6OJXmDuKeF+gCILAygYHeu3M2YAatYgoCqxb7ESt\nEth+WP7SWNVop8Sqp3c4eE7BOoFwnJN90zdJmU+y+94gp5M5y81odWpqGorR6TWYLHr7i6HLAAAg\nAElEQVQuubIBURQ4eWyYp35/mGAghm8sQkmZeYpg1Dc7QIKe9vwe1ccPDpJOS6y5uIY1F8sWYtbi\n93rk/0/EU5w8Wvg2ldbNV4JKhdrhQGWe8DQYMhZy0uvFsGQpGrsj7z5BFNGUOIkPDtD7lS+SjkQo\nece70RQXU3zNdQCEjh4BZDGOnDyBxmrJ24c3LFmKpryc4IF9eVHrkZOtuH5xP/3f/jqpcDjnFh92\nTwjD5K5m4RPHSYdCRNpOUqYtzquRPh2iIFJqkF/EbLq5Wd5SMknw8KHc33W2zns6FCI5NrUWu9Pg\nwKgpyrm4s8IqIXHc0zrjPL488ZY/c9Zlvsa5kmpTJZ7oWK7ZS1Zw5TlkUX+8/Wm+tuf7fH3vD/jc\nzq/hDntIpJN4ImNUmSrQq/S82PcK8dTE9g1MuN8lpLwXhFMZCo3k4gu6J0XVT64pn0316/H38ZPD\nD/DZHV/iu/t/fEbfC67QCIdHj5FIJxXruwAo4q2AUa9h3ZIysv85NldbqSk1EYwk8AXn3tDhsVe6\n+Npv9zM4z41DTmWy5WxzFKHRqLjjIxu49pbluePrLqvjg/+yifWb6ojHUmx7Rq7X7SyfWnqwrlkW\niMninUqlOX5oCK1OxeIVpRONUtwh4rEkoUCcklIToihwdP/pW1zORCqZ5plHj9JxYvZWl2qrlcp/\n/iTlH/lo3vGiZRN55pZLpy83rCkvR4rHSQUD2G+6BeuVV2WOV6B2OAgfP46USpEYGSHp9WJZuSLv\nBUcQBKybrkBKJAjs3pU7Hs240eODgwz99Ec4tLJ1rI9N7KfGJ1neoUMHAVlQY935LYNn4praN3F1\n9RUY1PrTXzwNvm1/ZfD73yG4by/paJSUb+LlMtbbPeV6QRCoNVczGh0jnAjnxBvyg8+mzBMb54r9\nAS45EmI47EaSpJzLvNJYnqtGlxXqrOBqVVrG4wH88QD7Rg5RpDawwrEUCYl2Xyfu8CgSEnXmGjZX\nXUogHuSY50Ru3qz7Xchsfs3kOo+l4oxFvTRZ69Gr9HT5J57/2KTGL/3BQZLpJD84+DMOjx5DLajo\nDw5OCbabjpf6t+d+Ho14ZrnywsATGePxlmdz8RGFRhFvBQA2XySX+9RqRGpKTdSUyrmy5+I6H3AH\nkYATvd7TXnsuWDOWt96gyVVlM1n06PT5XgdBEFhzcTUarYqeTOEaZ/nUnOBiRxEOp5G+7jFSSVl4\nuk6OEg7GWbKqHI1WjcGoRadXMzYayrnMK2qsNC114vWE6W6f25fV8KCfrpOjuRKvqVSah3+2m+3P\nt0251rR6DUWL80vIauwOtBWVCFotpnUbpp3D8ba347j1Nuq/+nW5BGwmQE4QBIwrVpEOh4h2dxE6\ncggA66qVU8YwX3Y5CAL+Vye+oCOdcoCUvnkR4aNHcOyV12yIT7zIZN3mkiQRzIg3QKR96uebjssq\nNvCuxW+b1b0+G9HMGiMnT+Qi7jVOeS892jt9Tne2W1tvYID+4CClRgcOvZ0WTyvJ9PRbJL6Ql4ta\nI2w8FmJ0bJDRyBjBRIhGax2CIOTat2b3t7OW90qHvD2xY2AX/niANc6V3NzwZgC6A305K77M6GSF\nQ/7dTxberPt9qV0uNz1TYN1weAQJiQpjOfWWGobD7pxr2zupsE5/YJAefz+RZITLKy/mg8vvBGDf\n8KFpx80STITYNbQvZ9m7w6OzXn8q8VSCVwZeI3GKV+F8ZtvATh46/DiDM7SpnW8U8VYA4JIV5Rj1\napbX2VGJ/5+99w6w467O/j8zc3uve7cXrXbVu2TJltxtjBsQjI2BQCCQACEhISHhfUkg4Q15E/8C\nCYQWmkMzGLeY2MbGvciyel2VXW3vu3dv723m98fMnbsrrWRDDDG/3z7/bLll5s7MnfN9znnOc0R9\nItnYbIre0RjD07/83OlZTXl9bup8Yi7DD37RSyr7+oxpdGk1b4//4sYhAGaLkTWbaingxZg3QEdX\ngHJJZk5bvPSfVoNO9bWCIOAL2knEcnrLmTdgZ9OOVkRR4MVf9JHPLbzxzFenXwjVGnp0Tr2RxqNZ\nYnNZTh6ZPO/9LoSGj/4xzZ/8FJJNdaRLxnNMzesisLS24b/1rRi9548urareUwf2EX30EQSzGcOq\nDbzwRO8CDYDR68W2Zi35wUEKk5MoikJ+aBCD10vDh9RsgGU6gkE0UI92jAVBT5sXRkaoxON6mj83\n8NqC96shuedlhj/zaYpTizPDwpgazHKDg5Q0xb1z2yXaPg0v+ppq8D4ZOUO6lKHN08y6wCrylcIC\ny9fBxLAehHPhaUQFJBkMvUMMJ9WFQbtLHZhTZd7VtHY4N4coiKzXnOuq7VsbgmtodNRjECRGk2N6\nvTtkC9LibEZAWJDyrm5/tX8FVoNlAfOeyszwd6/cxb6pQ/rI1wZ7nW4zO6TVvatpc4Dx9AS9mkXu\nat8KVvtXYpHMHJo9dtHs0u6JfZTkEpc3Xap9vouPhz0XT40+z729D71qu9sbCYmC+t21v4qB0euF\npeC9BEBtH/v8h7bzB1qquSWkMtJHXh7mrh8f4R9/dJjBydcewAulCgkt5d47Fl/wRX9i3wjPH5ng\n24+e0v3X/zvw+u24PBZal/lf/cnAhm3NSJKAySzprP1cNGmtdbOTSRRFYXo8gd1pxuuv2WpWvdYH\ne+e0/bDhr3OwdVc72XSRl56qBaTJ0Th3f+ll+npqs7QXu/lVg3cmVaBYKOs1dbmi6GNSXw3mxkas\ny2pWxE8/cpr/+vFRcq9hsWRbuQpEkfjTT1FJp/DffCt7989y6ugUB8+ZBV/1eE/u2U05GqWSSGDp\nWKbOMxcEhGSGz27/S0LYNWvWgM6808dU9bbnqmsw+PzkB/pfFzOU9PFjFKcmmfjKl3XVfBVyqagH\n9cLYKIVxNZBbu7uRPB4KY4sz76oCfujEHkwlWQve6vfksGYOM5Ge4l8OfUNXaFdmazXewNkZhqrB\nWwuUdbYgRtGop59ns3P4LV5aXeq2suUcJsnECm8XBtFAs7OJ8fQUkxpTD9mCWAxmGh31jKYm9FRt\nNXjXWQO0OJuZyYbJlfMUNN/2cC7CY0NPMplWr6V6e4gOzRSnuo9RLXjbDTbGU1P0xQYQEOjydmKS\njKwPriGaj+kLksVwPHwSSZC4ueN6REH8pdLmsiLr/fGvpph/IyGhdQs4Tb+ZkaBLwXsJOtwOM1az\nmmoOuC04rEaKZZkVLR7KFZmvPHicw31hvvPoKe59ZiFTKldkDvXOckCr1Ybn9Tsn0kVmY+rfsqJw\nYlBdhfcMRnl872urdV4MRpPEez6ygy2XvbrzF4DNYeb6t67mmptXXjD92qRNPpuZSpKM58hlS9Q3\nLRzHWa17T2gT3LwBlelu2tFCqNFF/6lZPT1/8qh6kz55RP0ZDWe4+0u7zwvIs1O1BVIskiUSrukF\nTh+bWhDgsunCq7LxdKrAzEQSWVaYHH118aBks2HtVD3vjcEgtiuvpUezjj1zfHoB+7Zv3Ihos5F8\n5WVy/aqGwLKsE8FgQHI6Kcdi+K1eKpkM0/6V5AOtVJJJ5HxerXdLErY1a7EuX04lldLb1+ZjZjLJ\n+PD5ZZdIOM3AmfNFUOWoerxLszOqC125ltYuTkyArNXfKxW9Xm+sq8fS2kY5FqOcPH+B6rd4aY+J\nvOXnU9y4O0m7p5kuzzICFh97JvczmBjhgb7/UgVi6QlkRUaYU69xBWiZzHN64jiiINLsUFm8+nsD\nk5lpZrJh0qUMQVuAoNWPSVRLP5sMreT3HwCgzdWCrMiciJxGEiT8mnd8u6uFklxiMqNeR9XaeZ0t\nQJu26Ng3dYh7Tt/PdGYGh9FOJB9j96T62RvsId3YpppijxXiOIx22twtxApxBhLDNDsbsRvV63uL\nZl97aHbx1HmpUmI8PUmzQ32Nz+LVg3fmxHEm//1rFzX56Y8PEdFsdV+tbe6NhGQxhcNkxyj+2kaG\nLMBS8F7CohAFgb981yY+83tb+dR7NvPOa7pIZIp89aET7OmZ5skDYwxoLVd7T07zya/v4Wv/2cM3\nHu4hmswT1oJ1QDNR6dVS5yPTKZKZIhuXB/A6zfzni0P/Iy1pHd1BOrqDF3zcH3RgMhuYnUwxPa7e\n0OvPGV5SZd6KAharAatNHbkqiiJXvlk1DDm6d5Riocxwn3pTnZ5QFwNH9o1SLFT04A5qoM2kilTX\nE7G5jM68m9u9xCJZprX0tyzLPPD9wzz0g8OUyxrrmlLr5ZV5trbD83rbx0dem/LfsUWtlQff+W4G\nz8YoFSt4/TYqZZnjB2tMSDSacG7fQSWRIPrzxwA1eAMYPF7KCTXjEi2a6XFu5ZSoLgpSBw9QGB3B\ntmo1ktWKZblan831nyVz6uQCBvzsA4d5/KdHKJ6jBH/l2QGefPgkidjCFqRSNILB58exaQu5M6eZ\n/fEP9QVPQatp21arqenSXBgkCaPfr9rTUhv0Mh+CIHDpabUPvH2qSGAoiiRKvHf1OwH4+rG76Yur\ntXRVCBbHFFVZWHpFMwYZPENhmh2NC4aRbKvfjKzIPHT2EUBly6Ig0uRoAGDT8TjT3/0W+dERPRAX\nK0UCVr8+Na3d1YqhrDD98rPIpSKzWTX97rf4aNNS9Pef/RmHZo/R5mrh45vUkkaunMNutOEw2rEb\nbfgtXsZSqtAymo/jtXho1urysiKzwqueu9zZPtqTBmwGKwenj1JcpBVtLD1JRanQ7la3H7T6SZXS\nZLNJpr9/N+mDB8j3X9gjYO+U2lpoEo1MpKdeF7vY3wSShSQei+vVn/g6YSl4L+GCaKlz0NGgXozX\nb23mbbs62Lm2nndq08iePDBGNJnne0+coVCq0K7Vj4emUnq9e9c69UZUrXuf0ILVpWvrufPaLmRF\n0dn6GwmCKBBqdJKI5XTx2YWYN4DHv3BKlb/OQUuHl8mxBAdeGqZclnVmfnT/GP2n1M8cmbdwmdVS\n5i3LVFYVncsSDWew2o1svlRlR6eOqkxkYiROJlUgEctxbP840bkMP/vxUZ54qIcffO0Vju5TA1U1\neEsGUc8QvBo811xHx11fwLFxE6eOTiEIcOM71mK1GTl5eEIftwrgvmwXAMWJcRBFvefc4PHoivZx\nsxoY54oWKoKB8H33qsfvBtUpzqoF79l7fsjEv/wz41/6Iooso5TLpNIlyorI2c98ltl7f6w7wyW0\nxeF8/3qlXKaSSGAMBKj/0B9ibmkl8eILxJ9+EoC8tihwX3WN/hpTsA5BknT/91zf+e1fhfEx6oZj\nRF0SsgCxHz+EUi6z3NPBNa2XkyvnkASJ7fXqtLeR5CjOhBrslatUk5yu0cJ51q07GrZiM1jp0dTi\nQZva5bAhuJaA1Y8rrS7K8kODeq0coH6e01y7q5U1AzncDzzD7I9+SDinpt+FSoX1gdW8o+st3Nxx\nPW/rvImPrv8ATY4GXRRXbwvpmadmZxPpUobx9BQluYTPXAveAN3uZcw9/CBjd/1fpv6fu7ieblKl\nNLvP6TPPnjlN+Lkn9X0DNXgDzPziMV3dnx5VtQLFSmmBbiBfznNk9jh+i49NdespySVdpPdGRkku\nky3n8FqXgvcS3mAQBIG37Orgg7es5k3bWmipc3CoN8zdPz9NsSTz7mu7uO1KlXUNTyf14L1heQCH\n1agH7+ODEURBYE27l7UdPiRR0AP6Gw112sJlqC+MwSjir1uoTLdYjdgdKtuujiudj/XbVLZUZavX\n3rIKySBy8rDaLy6KAolYjlJJvUlX690r16lGLbOTSVKJPP6gg8ZWDx6flf7Ts2TSBT34SwaRw6+M\n8IuHeiiXZJavrkORFV55bpDjB8eZGIkTrHfQ3OYhEc2RTr66wYYgihj9AcLTKcLTKbpWhXB7bazf\n1kyxUKHncM3W09zegalRTQWbm5oQzWYADJoYLj08xoxDDYyyIhCzhpCzGaxd3bpYzdzUjGi3oxSL\nSG43lUSC/MAAiVOnqWgp5IIrRPzpJxn+m//F5He+rTvbzXfNK8djoCgYfD5Es5nGP/kzJLeb8H33\nkhvoV1m1KGJfuw7Jo5ZFjPXqsbatWo1gNpM6eOC82nv0cTWr8NImB8NrQ+Qmp4g9pc4jv7XjBraF\nNnF791vZVKeK/U5F+vCkKhScFnxdq4m4JNqnCrSb6ha8r1kysatph/53tYf9+rar+Nyln0JJaAYy\nw0MEbQG9Pa5uXvCut9fREFOZafLll1h2Mszl+xP0/9GHmfvJPVzVsIObOq7n+rar9Glr17aqs9lb\nnLXg3KKl849rveg+i1d/XBRE3A89S/TRRzD4fCiVCsse3ksgL/Hk6PMUyjX2Hb7vXryPvoypJOvB\nO2D1YynIFJ95noqkLhaiQ+qC5ZnRF/jXw9/grGbleix8kqJcYkfDFl0oeLFe9dcTZ2ODnFykd78w\nNkrq4IGLvjZZUDMt7l/R+e9XwVLwXsIvDUEQeNO2FmRF4dRwjLZ6JzvXN9CmMe/h6ZSeNq/zWulq\ndjOXyPP43hGGJpN0NbuxWYxYzQZWtHoYmUkRTy8+svN/EiHNqU1R1EAuSed/Xbwa+14seLd0+HS2\nHWp0Eax30tGlshCzxUD32hCKUjN60Zl3hw+r3agrxH1BO4IgsH5bC7KscPzAOIN9c9idZnZdt5xy\nSSYezbFuSxPXv2U1t/3eFkxmiZef7keWFTq6AjS1qcF04iKp8+mJBM88eppSUV1MVDMOG7aprG/t\n5ibMFgPH9o/pLnKCIODaqbJvS0dNJGfwqNvrOzGFLBqoM6vXQ8Sm3pD9b/0dnfUJkkTLX32atr/9\ne0K/9wEA0kcPMXe01kdtf9cHqf/Dj2AMhQgfPEY1vk6PJ/S6f0lLrVeNaYw+Hw0f/iNQFGZ/cg+F\n8TFM9Q2IJpNe16/axYpmM44NGynNzlAYqaXOU4cOkjqwH6mxgYlmO7ktl7On4w4OP3eGwuQERsnI\n+9e8i8ubdtBoVxcCvbOncWZlyn43IXsdve0WDBVoHFKP/dS3v8nYF+4C1Clo1XaqOtvCcbLluJop\nKQwPIwqiLpyb7/EuCiKNcYWSBIrFzNUH07ScmARRJPHcs4x94S4qmYU+C93e5fzZpo9wc4c6971S\nlgk/bcY/1aH3rnstHgJWP16zhy1CC9kDBzC3tdP22f9D8M53IydT/M6BMqlimu8evpcfnb6fh3sf\noTipLuzqCiadcQesfracziLkC7yyzkZZhNKEGpAHEsPqMdOCd29MTaerRjZq1u5XrXsfD59cYH6T\nLmUWTfNX8cPT9/GdEz84r087fN9Pmfrm16nkLjy3oGptu5Q2X8IbHpesCuGyq6zzPdd1IwoCDquR\nOo+V4SmVeTttaoB+07YWrGYD9z8/gAKs76ypwtdrCvETg79e9v3vP+vh/ucv7sV9LurmeaTXNy/+\npfTXqcG7Wv+eD0EQ2HiJGvhWrq/Xfqo3pHVbmghpafjIbBpZVpidTuEN2DCZDQtU7X7tvbvXhhYE\nz+Urg6xc30Bbp4/WZT4uvVoNnm6vlaturI0Vbe+uBe/xC6TOK2WZZx89Q1/PDOPDahCMzKgp/Wbt\ntSazgQ2XtFDIlzkxr/btvvxKXDsv12eOg5Y2B/onKwiKzLbGHEajSNTejHXlKt0rvQpzUxPmlhaN\nAVtIHz5MvK+WTk2nirgu2YF71xXkjOp5MVsMKPOc8KpiNYOv5tRm616Bc/sOCsNDKIUC5laVDerB\nu75Bf65zm2olmzqwF0WWmXvoAaa+8VUEg4GGd72XjzX/MXP7XOQlGxFLPdPf+dYCQZzP4sUsmZAi\n6qJLCKrubONd2v4cPkGu/yypfa+QO3OacjKJx+zmquadtDqbdUc6ADmfQ86r2YXC5ARyscgK73IE\nBF2RDqrFrCOWJ+w18sglFrJmgfSujXR+8cs4tm4j33+WxIvPn3e+u7zLsGkCtFQyTyZSxh2r19Xv\nXosHURD56+2f4Ka4eu16r3sTksOB55rrsHQswzYRwYaZ54de4ZWpAxzpeU4/Hstkj744C0hO1vbn\nyJlFjq6wEXUbMMzGkMtl3bluQEud98cHsRtsNNhDtXa612AIcy7ORM/yzRPf50en7wNUrcDn936R\nrxz99qI19GKlSCQfpThP/FdFaS4MikIlceGFbzV4e5eY9xLe6DAaRD72O2v58FvWsHyekKu9wUkm\nX2Y2lqNOcz5b0erl8x/azoZOP1azgS0ra+nD6gCVEwMRTg5Hueuew5wc/uV6Ql8NU5EM+0/P8sKR\nyV+qHclqM+k95PVNi38pN25v5fLru2huP79nGmDFunpu/8BWVm1Qg0RLh487fn8rW3a2E9DS8JHZ\nNLOTScolWd+OL1Bj8tWFgdEosWZzo846l6+uQxQFbnzHOm6+Yz2SofZ17lwZZPuVHaza0IAvYMdf\nZ8diNTI+FGN8OEq5tJBdHD84rteRq9PW5mbTWKxGHC6z/rx1W1T2fXT/uN63Ltls1H/gg5hbanVZ\ng8dL1ugiUTYTyIzh9NpoalP/53zvQle4+RCNJuzr1lEKz5LJ1JT0ybgayCztHeSM6nFbvVE9ptXU\nedXe1HCOJWzgtjsQTOpC09yiBm/3lVcTvONdOOe50NnWrkO0Wkkd2M/0d79F9OePYgzW0frXn0Vp\n6eS5n6mZDINBpOAMUhgdYfQf/g9T3/0W6aNHEASBRns9npQawEx1atB7x/b3obS3kOs9w+xP7tG3\nVxXm3dZ1K5/a9vEFo1DLsXmLrEqFwvgY17VeyWe2/4UuaAMojI8jKAqFei+OjZsY/sTtrHzPHyI5\nHATedhsAxamLM9d8Vj3O5pyDqs2iz6K540kWMgcPqKY/mzYB2sCapmaQZT7YcBPv3XAbH173e4Ti\ntWuqqVi7fi09/ViKCieWW6hIAlGvCakiMzfer/vDDyVHmctFiORjdHo6EAURq8GK3+LThXTn4kLf\n5Ypc4YGz/wWozD6Wj3N87hSpUprBxAj7pg+jKAr7pg7p7nTz7Vvnt8ApikIppl5X5cSFp6wli9rY\n2yXmvYTfBnQ1e9i+OrTgf+31tYu3br7nuNPMn96+ga/82eV6UAeo99kIeiwcH4jwpfuO0TsW50v3\nHePg6yhiO6Yxs2yhTDjx2ocqALR1+jFbDOeJ1aqw2U2s3dJ0wZYzQRAIhBwLHvdrNqq+gB1BgLnZ\nDGe0lrHOlWpK1DtPDDf/97WbmxAlAZfHohvMXGjbmy9t46obVyAIAoIg0LbcTzZT5JF7j/Ojf9+r\np76z6QKH9oxg0toEw9MpioWyWm+vsy94f5PZwMbtLRQLZX763YOcOlZbEJWKZX3wi8HjJWlR08De\n3BSi3aEL8SYmLz6kwrFJFX4VDLUAUB21am5t05l36zI/bq+VsaEo5XKFUkQ9z0bfQo90o8+H/9a3\nAWBboTJ+0WzG+6YbELWgDiAajTg2baYcjZLatxdL53Ja//qzmJuaGR+KUSnLXHJ5hzpyVjFj6VpB\nYWKc1Ct7mPzql5n61jdoFX14U2oQszeoDHmlr4vQ5deAolAYGUa0qtd/tc98MZS04G0MqNdDYXgI\nSZQI2RfWzauWrju23spH1r+fty2/SWfUxkBAM8a5+Hcpp5UdpIoRQ0nTcJi92vuPUJqexrFhI6Kl\n9r01NagLiKaciVtXXsf64Bo2lmrp/EBODS2KopB+/gVkAXqWW2lztqDUq88b71Md9gyCREku8dyY\n6tY3fzRrs7ORdClDoriwhe9M9Cx/+dLf8o1jdy+wrAV4aWIvU5kZ3f/+8OxxDmhmLwZB4mcDP+fB\ns4/wg9M/5Z7TDwAwk6kdo+FE7bxU0inQsgmpiPodjT35BEOf/tSCNHq15r0kWFvCby3a5zmWBT3n\nG6CI5wQaQRBYvyxAsSxjMIjccfVyDAaRb/ysh289cpLe18Fa9Wh/re41Mr1wRvlPnj7LNx7uOfcl\nOi69ppPf/egOzBbjBZ/zq8JglPD4bERm0wycmcXuNOvp7WoN3e21YjRK+mvsDjNveddGbrxt3S9t\nEXrlm7u56fZ1tHR4yWVKukDu2IFxSsUK26/swOEyE55O6Sr4QN359rEbLmlh044W8rkSLzzepwvY\nBs6E6Ts5w4mD4xg8HpJmNXi7ChEkh4OWDjWojg3Vzmm5VFnQ2gZgX7ceJGlh8NYWXZLdTsGh3vyd\nbgvtmhPexEh8Xtr8fLMe34030XLXl7C0t+v/KxXPtzZ1XbYLBAHbmrU0//lfIjnUzz+h9ci3dHjx\n+KzIsoL/j/6crq9/i9bP/B2WzuWk9u9j7b17aZxVg6G7uRaEnFu2gaSex+Cd7wa4oCkM1Ji3faPK\ndvPDQ4s+LzOsBppqOWA+BIMBg8+3wE9+MVSZN4A578AgGnCa1AVjap+qJrdu3aG3JEKt3FCargXO\npmQtnNjS6nvmBwcojI4w0+4lZZfYEFyjZ2imB9Tv3ZbQRkCdUw7nBG8ty3AsfFJfJA4mhvnm8e+R\nLxfoiZzhH/d/SZ9tHsnFeHToSawGC3+88UOIgsjLk/s4Fe2j1dnEDe3XkCqmdd/1RDFJvJDQnetg\nIfOemaiV2obGTgKQOdlDaXaG3NmauC2h17yX0uZL+C1FW71TnwdedwH3snNx1aZG1nf6+at3beLN\n21v5q3dtot5nY+/JGe768RH2n/7VvYLTuRL94wnMWgA81+b1lZPTHDgzy5zG7HpHY7x8onZDkiRR\nZ6S/DvjrHJSKFYqFCivWhvTxrf46B5Ik6KK5+Whodi9aY+8ZjHC478JtNZIk0tbpZ+1mVTQ2PaEe\ni/HhGKIksHJ9PcF6J7lsiRHNSOdchX31fXZc1cmdH9qmzj4/qZ6fqsBtciyBYLeTsgQQFBlHIYrk\ncOD2WnG6LUyOqv3fsixz73cO8PiDCxdPks1G4G1vR2lW69LegI10sqD7zOctHgSlgimfoF0TAA6f\nnaMUjSJarbot7Py0as/hCb7/naOEtcXbyECE7/zL7vPa52wrV9HxT/9M05/+ua+VkZsAACAASURB\nVK6cB9Uhz2wx4K9z4PFpteJEHsFgwNLWTsunPo33hjdjiCZpnypSEcAVqtWmq2ls740347p0J4LJ\npFu1VpEfHiL+/LNATaxWVcHnh4fVz1Qukzp8iLmHH+Ts8XH+a6qVlK0Os6b4PxfGYB2VeBy5eGGh\n1nznPXPOgdfsRhREFFkmuX8vgs3O4wdLfO/f9vDCE73EIll9ylxBc6xTFIXS+DhC0I9ikFBi6mIn\nsftFANLbViMKIhuDa/G1q57s4rS6qLi6RRU8luQSFsm8oEVtjX8lAgL39T3MFw59jX878i2+cvQ7\nlJUKf7jufXxswwdxm138Z/9j7J06yDdPfI9cOcfbOm+iwR5ihXc5M9kwsiKzrX4z17VeRZOjgWXu\nNq5uVrc7vu95Sj1qYK6zBjRXOvV+cHKwpjKfmh5AVmS9PJM7WzOq0gVrS8x7Cb+tsJoN1Gussc5z\nvgJ7MTQFHfzZ7Rv0nvKOBhef/9B2Pv6O9QAc6v3V+zxPDEaQFYVrtIA1n3mncyXSWsqwZyiKoih8\n59HT3P3YafKLsLJfB6qCN1Dr41VYrEbe8f6t7Lxu+Wt+r/94/Azfe/zMqz6vKpSbmUhQyJeJzKYJ\nNbgwGCQ9Fd+npfEXC95VuDxWmtq8zE6mSMSyuhNaNl0kEcuRMvuxF+NISgXJrr5PY6tH22aG6Qm1\nFW5sMKpnAarw3XgzJYcPURL0lr2U1uaWxYK1lKY4Moxt7CQmoawF7wgGr8ruew5PcPeXdjM3k6ZS\nljm0ZwRFqS0whjTTnPlZgCqM/oA+rAXUlH0qkaexRRVhVYN3NRswcCZMJJwh8I53YrtSbcPKOE2I\nxoXZGt+NNxG87XYEUcTc3EJxegq5VGO9s/f+mNkf/YBieJZyPEbE2sieM2VMrR2q5etXv8zgX/05\nU1//CtFHH+HMUwfV4TB13QiGxReYVTX9/FGsVVTSaQb+4k+Jn6wxSHPOgVcTzuX6eqnE4+TW7iIe\ny1Epy5w6OsUTD/VgDATUufBaPb0cjSBns8QaNjHQuIvSnHp88/39CGYLV1/1bj619eOE7HU0NSwn\nYxEJxMtaS1qTPp99mbtdN6AB1Vnuf1/yZ6wLrGI4OUpvrB+7wcb7V7+L9cE1rPav4I82/D4mycQP\nT9/HRHqKK5ou1VvwqqxeQGBL3UZMkpH/te1P+YstH2O1fwUoCtJPH6XriR5MopENwbUoKIwkxynJ\nZSbHa8dGSGfpi/ZT0jI8+XnDdJKFFAZB0l3ofhNYCt5LeN2xut2H2STREPjVL2RBENjQ6cdlN3F2\nPP4r+14f01Lml66tp85jZWQ6pb/XdKRWe+0ZijI4mSSSzKOAzsR/3UjJ6r7IFoMeFKrwBe36lLRX\nQzpXIpYqkMmVkOWLHyurzYTba2VmMsX0eAJFgYZWNd1XnbKWSRcRRUFvdbsQlq1QU9gvPdVPqVjR\n9/fkkUlkQcKV10xiHLXgDXDs+CRnTtUyKlVTmfnIpAvYHWZdNJiM5yjkyxQrAtZSiuTePYR/8B/4\nE0NkMyXisl1PmZ8+NkWxUOGFJ3o5c2KarOazP6X5DVR/VofKXAxVW9nqvlf98FOJPNlMkScfPsnP\nH+ihUpZpes/7GdqxjOTVWy76nuaWFqhUdK91uVgkPzQIqANSyrEYQ74NDAylybWuBkUhc/QIiizj\nufZ6LJ3LmcuqATvrDF1wO9WJaYvVvTMnT1BJJEhN1M5DE23c0Ho1+18c4tQLakZk2q6msW+9cwOh\nJhfxSJZKRcEYqqc0rVr2Vp3phpQGRkwdpAoi5USc4vQUlrY2bCa7rh6vt9UR8RhwZWQ6BbW00ulp\nBxamzPV9cjTwkfUf4B93fYZ/vfLzfH7np9kS2rDg8d9f824EBFZ6u3hH11v0xzYE1mA1WFgXWI3b\nrC5Mq8LAVmczvkQFqVDCVKzQWXbrPu/DyVGOhXswpWsaGXtOZvfACygFta01M9jPfScfpCyXSRZT\nOE3OX3na3a+C34wJ6xL+f4U7ru7klsvasf8368SCINDd7OZgb5i5RB6TQeTLDxzn2i3N7FzX8Kqv\nLxQrnBiMEHBbaArYaat3cuDMLJFEnoDHynS0FrxPj0TxOGripbl4jqbXmPb/72AokWMOhbl8kblE\njoD71bc5OZfBYpLwuSwL/geqWDiTL+G0mS7wahWhRhd9J2c4pXmuN7aogSkQqmkWvAHbor3t89HR\nHeClJ/sY09LsW3e1sfupfs4c1yZ2FSIgCIhaKrvqGb//0AROo4RJEnD7bAz2zpGIZXF71efJskI2\nXSTU5NLntSfjeWxae6K1nCZzXPXWDmbGmHJ1MWdvodXvJhnPMae1uc1OpZibTSNKAja7iZmJJOlk\nnnhUU9bPpFEU5aI33XOD9/y0edWLPpMq0HN4go3bW7nhQ59d8PozJ6aRJIGueeJOc7Naoy6MjWFp\nbVNHlVY0R7XhYTLxDAmLGngr3Zvo2LUJg8eD6FDFj/GxGfL3nAYgLV44O2KsUxdXpdnzg3f2pJoq\nLpQBs2rxK2ZFfMUQz+05jKj42O5vZXS6hNNtoaHFTaDOwcxEkng0i6m+nuLEOMVoTB+nmpMNgELU\n1kD6yGFQFN29rgpJlMjVe2F6hku/9wrTZ0S2vnkbpyK9bAieP362CtdFBn6sC6zm8zs/jcvkXKDa\ntxmtfHbHX2KWzOe9xmGy05Wo3aPakkbdWGbv1EFy5Tw7M7U6v7soMjZ2Wv9brMicPfESp+pWkiym\ndFOZ3xSWmPcSXncYDRJu+8WDx2tFV7N6w+wbi/PS8SmGp1N87/EznH4N7WQv90yRK1S4bG09giDo\nYrphLXVeDd5NQTu5QoUXjtb6SX8TzFuWFY4ORBhCIQU8f2SSZLbIVx48fkHL2FS2yN9//yDf+q+T\nC/4/Ea7ZrKZfw+jQaup8uD+CINSsX212E3aneqO7WMq8CpvdRIMW+E1mA6s3NmKxGnSjF1dhDtFu\n19PQTrcFq8OEE5BKMo1tXt369dj+Wu94LlNEUTiPeVdbxhwWNdi6dl5OyCsgymXC9lYMXp9umbpt\nVzsms4RcUVixtp725X7KZXnBdvLZEpnUxQ2CavVutcThmce8Z6dqzP3wK6MLxr4m0gVOn5zmucfO\n8PzjvQuEeVXRVlVxnjvbx7RjGT2hy8mNjDKdNVM1uY9G8phbWpCcNWYXydQWG8mCeMHMVJV5V0Vr\nhYkJlHIZRVHInlYNWUqSBVFQCIQcZNNFDj6sitRkQeKw/0pKpQpda+oQhFomJjqX1RXnuYkJCiPD\nyAjktdntUVsj6UOqR/m5wRsgfcVGXtzkAK+H5Msv0dof45+v+Bz156jpfxl4tFr9uXCZnJilxe9H\n7bHa8+tiZdxmJz4xQCyRpiSX6FDUCXnGYBBPUWKHVZ1ZkKtXSwuN4RL7xvbhjRYuurj4dWApeC/h\nDY2uFjWde3Y8zu4TUxg0Jvi1/+xhJnrhliNZUXjywBgGSeDqzapwqOoANzKzMHhft0V9vCIrBLVA\nUXWI+3VicDJJMlNkx5oQDquRF49N8i8/PcqRs3M8tmd40dc8f3SSQqnCWDiz4IY9Pldz0XpNwXue\nEC5Y78RoMsz7Ww3aiynNF0Onljpv7fQhSSIN2oJLFBQchZhe767C6rUiabLGUIubzpVBnC4zZ05M\n6+KpjOa4pwbvGvOutoz5V7Zj7eomeOe78e+8DF9ukozZS1jwMqSJ9lZtbMDS6iGHgqvVozPnarah\nVWtdq7L0xZCM50glCzS21kxHjCYDVptxQfDeuF01rzmyTw3GsqLwT98/yLOPqhqEcklmZqJW1zc3\nq9dcVXGe7T3DkG8DM85O+uckZsWa21p0bqFDGqAPy3G6LZTLim4Xey5MdbW0eW5wgJG//Wtmf/wj\nStNTlGNR7Os3UJIsmCoFrEk1fT4SN2Kq5PBnxinIav25W8saVM2D4vNEa9G9+8n0nICmDt2DIGat\nJ92r1ovNiwTvqzuvJfjmm2n7878CIHVg/6L7Px/leOw1l88UWWb23h+TPnLoos/zzWYpaSV256x6\nLleP7WRN7zX83Y5PYc+WkdxuVUuRybLDompQWi5/EwDLp8qsuHcP73k8ysYnzlCMX7gX/PXGUvBe\nwhsaLXUOzCaJvadmmI3l2LoyyPvevIJsocyjFwhwoNa6Z2M5dqyp17MAbecw75loFotJYvvqEJKm\n8n7TNpUFVkeaPnt4nL/8+h7+8UeH+M6jp/jZ7iFODl2Y9cdSBe595iyZ/MIAOjab5jPf3cfZ8ZpL\nU1UZvn1ViMvXN5DOlRidSWM0iIzOpokm85QrMl+6/xj3PdtPqVzh2UMqa8wVyguC9GT4lwve/jo7\nBqP69a8y5yqqQe7cKWoXQteaEN1rQ2za3qq9n/o6j11ERNbr3VWUzDVBksFlRhRF1m9roVKW6Tmk\ntp1lUmoQtztNWG1GDEaReDSrW8k2Xb2Tlk99GslqxbnjUjriJxCUCnt6ZabGE4SaXNgdZtJGkR4U\nMpUKDdrnKZdlJIOom7yELxK8qy1zdQ0LWZXTbSGVyBOeSuJ0W9i2qx2DUWS0qrify+BJFREVtbQA\nLBhtKlqsDDXvYm+6hXI6TXR0hqxJ3b9B+0qitkbsYhGXx0I0nD4vaE1PJBBFge61alCdPzp2PkSL\nFcnppBSeJfmy1h710gvEnnkaAMemzRSNNgylDFKfOmMdQaA+2c9a5SxGk0Rdo1P3GvDpzDujt4tN\nPfZzkGUsV71Z325FNJE0+RFtNozB86f31dvreGvnjVjq6rEsW0b29KlFx7FWkTnZw+AnP0Hi+WfJ\nZopMjsYZODOrexWci1xfL/Gnn2TmB9+/oNK+ks1gmkswHTASd0gYpsIoikIxIVDJCQh5A+VYDKPP\nh8HjUfv0tZY9S8cyjHUhQrMF6qNl0lYRb98URz/+CSqpV9dRvB5YCt5LeENDEkWWN7ooltSU4851\nDexc14DTZqRnOFoTn0Wz5OZ9kZ/crzKgN22ruX7ZLUbqfTb6xxMUihVmYjnqfTYsJgObu4M0+G1c\ntlZVfFfT5q+cnCaSzNM/kWBPzzQ/2z3EF396lKPzBmLMx3NHxnnywBi/2F9rA1IUhR/+opeJcIbd\nx6f0/x3uC2M2Saxu93L15iZcNiM719XzjqtUm9Nj/XMc6g1zfCDCE/tH+ad7jpDIFPXsw4yWHVAU\nhYlfknmLokidtphpbFkYpNdtaeKdH9y2aJvaYjBbDFx7yyoCITVIV93mQnUqY5bsC9vaYlrLVw6F\nuHbOVm2ox2wx0HN4glKpUmPeTrPqn+6xEpvL0tujssNjozG+8uBxIok8BqeLxtVtdM8doFBUUBTo\n6FIDZlRTqMdSBWwOM26fuk+hRhd12ue7mGituljwBxcuQJxuC7KskM+VCTU6MRgl3B4riXgORVE4\nMxzDCWRQuPyGLgQBxuaVepLxHEOWTuYsjRz98t3MGVWG7DLLlAxWKqKRRmcJX9BOPlcmN68Xu1Sq\nMDeTJlDv0BcVUS0TMzuVPC/QG4N1lObmSB3cT9oWRFYEElpLmql7NRUkTJU8tnxt/9Zdu4FlH/oA\nd/z+Vm56xzr9/1a7CbPFoLaLheZ1R3Qup9LQDkB9g3q+o7ZGLG0dF9QTVPfTuW07KArpQxce/hF/\n5ikAhp98mR98dQ8/+/FRnnz4FAd+cWLR5yf37gGgkkqSfPmlRZ+TH1QFglMBI7M+A2RzFGfDurgx\nOj4HlQoGrw/JpX5H8kNq8DZ6fdhWqhbEh1daufutflJvvgzH8k69n//XjaXgvYQ3PLo0ZuhzmVnV\n5kUUBFa3+0iki0zOZZiNZfnMd/bx02dVQ4VsvkTvWJzuZjfN59x0N3UHKJQqvHB0gnJFpl4TH33k\nrWv4+w9ux2o2YLcYCGs34cm5LA1+G9/85FX804d38EdvW4soCNz7zFlK5fM9kge01OiLxyYpazXO\nfadm6Ndmn5/W+oonwhlm4znWLfNjNEgE3Fa++Mc7+eDNq9mkBZ6j/RGePawy7TqPlaGpJIIAN2h+\n6bPaLOtkpkg6V8Kk2aO+luANsHpTI42tHpraFjJvURQX7SN/rXD5rCzf2crKLWpatdq+VcVUMs8w\nMiOoxxfUVPSaTY3kc2V6T0zrdWi7Q62/b7+yg+41IbrXhNh6RTv3vzjIkbNzfO57Bzg9EiP0vg+w\n46O30bW6DlESdKe6aLKw4GdVmNfY4sbuMGOzmy6aNq+mrM89HtU6PEBQcxV0ea2USzK5bInegQgC\nAlkgW5IJNbkIT6X0mvjR/WMoWulgOOciYlPT6Fdf5sek9Rg3h4z6dqPzmHV4KoUsK9Q3ufWxtNG5\nDD2HJnjw+4c5e2qhXsIYrINKhWTJyL7Gm+ldro5iNYZCVKxq8DdRJrSqA0FQPf1b33QFlvZ2XB6r\nPqce0OveiWgWxWjSfeQDt92uB73u9Y0IikzU2oh5nilOFYqisO+FQb73b3vIpAo4tl4CgrAgdS4X\niyRf2YOcz1GKRsmcOA7AhOxDUaDNoV43Y4fOMPfQAwvczuRikfShg0huN4LRSPQXj6NUFtoBA+QG\n1PuF3NpEuVG9XmJna2Y4sUnNbtfrw+BWg3dxegoEAYPXS+Dtt1P/F5/kwFY/iihgvHInqz/717rP\nwK8bS8F7CW94rO1Q23+u3NCoO7St1tjdqeEYu09MU5EVhjTl75TWAtbecD5z3LpCZThP7FdrjdXg\nLQiCbpDic1mYi+eIp4vkCmUaA3YMkkid18bWlXVcs6WJ2XiOpw4uNNmQZYVBbR+SmSIHe2fJF8vc\n//wABkmko8HFXCJPOJ5jvyZI29JdSylKmqgr4LbSHHRwcijK2fEEazt8fOo9m1nW6OKGba2s0lzY\nZjTFdLXe3an5op8bvE8MRnjsleHzGFnX6hBvfffGBfXu/y4GJhL83X8c4CcvD/PIqQRNn/gk/re8\nVX+8XJGZjeWw1DlIAZORWlBat0W1fj348rBuIFMVz7UvD3Dtrau49tZVTCkKhWKFtR0+coUy/3rf\nUWIlEdvyLq69dRXv/aNLcXlUF7SYtgio/uxeE8LuNNO5Sr0OAiEH6WRBr7XPTCZ56ck+vbYeCWcw\nmqQF/u6gMu8qqgNsqi1k8WiWCa1vPY9CPF2guV0NOhMjcbKZImeOT+N0W/B6zczZW4lZG/D5LYTW\ndLJ65iVa4qdoaFkYnKuo9sTXN7lwui0YTRLhqRSHX1Gv6Ynhhb3rRq3unbCo19okQSK2JhwbN+mM\nPrBjG20f/gNueecGrn/L6oueY6/fjqJAIpoj8LbbaHvf72LrXqFnS3xBB+5KgoQlQMpzvvPboT0j\nHH5llHyuxNR4AqPXi7Wrm9zZPr2HOvLwQ0x/91tMfuNr6mAVRcHzphsJ21uRlDIdxx/EVkmTMgeI\n/PxRBv70Y4z+4+dJHz1C5vhR5FwO12W7cO26nPLcHMm9eyiXa25+iizrs9tvv+6jXL3jdvU4nxnU\n9zOqZWSMPh8Gt7bAVRQklxvBYEByOHCtWsuagGq5+5t0V4OlVrEl/BZgWaOLf/iD7YS8tRXtmnbN\njGMoysScypymo1lkWdGDd8MiYzrb6534XRYiWjq1fpHn+JxmxmbTen26KbCQdb11Vwd7T87wyJ5h\n1nf6dXY/MZehUKywosVD71icJ/aN8sS+UWKpArdc1obbbmZoKsnpkRgHTs9gMopsXB44b/sAG7v8\njGsK8ms2N+N1mvmb920FIKKJk6oz0yc0VraixcPpkRiZc4L3fc/2MzGXYWNX8LzP8npiYi7DP91z\nmIqsYDSInBiMYr1lF5WKzJfvP8bmFUGWNbqRFYX2eie5QllvcQOwOcxcdnUnu5/uJ5dRj73dsVAl\nXChWePrgOHaLgY++bS0He2f5j5+f4Yn9o/zum1Qf92o7WSJTRNYWLLGUesxki4FJjxlMamozEHIw\nOhjlhcf7KFdkveVNlhV2Xd9FIpojWH9+/241eAsCBEMLg/fIaByKZUAkDyTSRVravRzcPUxfzwz9\np2eplGXMIQfxdAFFKKAI0NZVh+RwELIX8c/tx+S9Hp/rfOY9p9Xhq/vl9dsWqN6nJhaKpqqitZy3\n5vjW330Tm2/ezOyMeg1Z3TYEg+GCA3bmo6o4j0UydF62k2DQSTic0nUKDqeZleZZ9pXdvNBTIrg1\nj8NlZmYyycnDk/SdnMFgFCmXZPVzrQLXZTvJ9fUy99ADBG9/p+40lznZw+TALB6zFfGy68kNHqcu\nPYykyITagwyN5bDceBtC3zHyQ4NMfvXL+qx2147LEM0mEi++wNR/3M3el/P43RLb3VOkDx+iHI1i\nam7B6vZhMpiZASI9vaDV8iMj0zSjTqkTrbX7xLne+W/vuoUVvuX6TPTfFJaY9xJ+K9Dgt+vMGFR2\n3OC3cWIwoqdES2WZuWSeKY3NNfgXH9O5dWWN7c5fEMx/b6iNKW08J+DZLUbedV0XhWKFu+45zMCk\nerMc0G6aO9aEWLvMx+hMmtGZNFdsaOAtOztYqTHmpw6MMRPLsXF5ALNp8frYBi2oB9yWBSNUAbwu\nMwZJ1NX21TaxFZrQLDWvPprMFPV6+JGLWKf+KhieTvKRLz6v29e+fHyKiqzwwZtXsX1ViHSuxMh0\nimP9EY4NRHjohUF9Xxv8dhoDdhJayr+KdVub2barHVBr6d9+7DR33XNYf/zF45OkcyWu2dyM1Wzg\n0jX1+F0WXjo+RSJTpFSu6Cy7Wu9Wf1f/t+/0DH1jcY5omoWql/zQ2TnGBqN4gnZMZonx4RhxbTG4\nWAmhGry9ATtG7RxWVfGj4wnMWkq8AMTSBYINTowmiaGzcwycCePyWNg9GmX/ZEKfBtfaqQYF67Ll\nantSIIjHb0MUhQXMOzKbxmiS9H3Qp86ZJOoanCSiuQWWp5aOZSCK5HwqC163pYl0ukTP0VmdeVcE\ngUTmwhaq81FVnEfnshTyJbIa405rx/3sTJKVt13H5g6RfK7MfXcf4DtffIn//OER+k7O4PFZueWd\nqslKRLseXJftwtzeQWrvK0x98xsoxSKB2+4g3rKBQ803MbjiRkZG1IxDMDOK75a3UL9c81dfvZ3W\n//03tH3mcxiDQSrxOOaWVsxNTRgDQZo/8UmybevJyUbGYyITL+xHzmZxX3k1jR/7E0DVZRhD9Qv8\n9NOyenznp81h4chZUFvUdjZu/40atMAS817CbzFWt/t0lr1umZ8TgxGm5jL6/xZj1QBbVtTpgrKQ\n73xTFJ+WIu3RWNhibPXSNfXIssJ//PwMX/jJUT7ze1v14N3Z5KYp4CAcy3HD9lau2qiuyBv9Ntx2\nkx5ML1l1YWesjgYXt1zWTneLe8GiBdThLnVeKzOxnC5Wk0SBZY0uBFjAvHvHFqrbb7ms/YLbfC1I\n50o4NBe1J/aNUizJ/Gz3EFtWBNl7ahqb2cAlq0IYDSK7T0zRMxRlWCslJDJFntCc1BoDNpKZIscH\nIkxFMno/P8CWnW2YzAbKisLXnjuLoqg6BpvFyP5TM0iiwHVbVRZpkETevL2Ve57q454nexmdSRNN\nFfi/f7Cd6Lz+7WyhTL5Y1q+NKuNvbvfy3o9dysvHJnl49xAhZLa3ehg+G9HnhPsWOf8uj5X6ZjfL\numuZkyrznpvLUE2q54F4uoAkiey6vouZyaRqVGMz8sxPVHV3y8oghXhe77UPvvNO3FdepSqcAbfP\nqgvS5IpCPJIl1OjSg0W1H3/d1iYkUWR2KsX0RFIX7ZnqG1j2r19h97eP4PYZWXtJM8cPTXDy5DQb\nN6nX5kMvDxF+cYCmoJ23X76MTd3nK8SrqCrOz56a4fiBMWx2M3f+wTYyqQKyKPDVh3r4549exiV3\ndqK8OMjpY1O4PGZ8ATsr1tXrGguL1ahnFARRJPS+9zP6+c+R6+vF4PPhue56JFM7HJhlKOti8sA4\noiiw9W8+jtXnpqCZ54SnU3SsCPCzswU2//4n8B55Ecemzfr+2lauIn+ZEQ6o+pHEte9lw63rFnjX\nAzR+5GOM7puG/gxGSSGv2KkIEgafH8Ewr0NikcE3/xNYYt5L+K1FNXUe8lq5fL3WthLJMhXNYrcY\ncF7AWnRZo4ugx6Irzc9FlXknMkUkUSDkW3wRsHNdAx+6ZRWFUoWfPN1H/2QSq1miMWBnebObf/zw\npXrgBpX1V+vVVrPEumW+Rd8X1AD99iuW6fX+c1HnsZIrlJmOZhmZTtFc58BokLBZDKTzNdX9GW0q\nm8tuYng6RTSZp28svmgN/NXQMxjh419+ieeOTBBPF3TP+alIlgeeHyCeLrJtVR1Gg8jqdh+CAAdO\nz3B8IKK361Xb9Br8dt0+d/KcPmZBEFi/rZmiw6j3DU/MZZAVhbFwmga/fYGD3OXrG3DZjBzsDTMb\nz1GuyPRPJHTmXV1sxFIFPSszX53vcJqZy5YoAKPhDDmtha7atuYLnn/+JUnkd353ExsuqXUzOFxm\nJEmgkC5iEwRsDhMKENfSySvX1XPlDd0sX1VH31StLcre4uZtv7sJUdM8GNwebCtW6o/7AnZKxQrp\nZIFYJIOigG9eD/6q9fVccUM3Wy5to7655ls/H/mKRCFfxh90MBLOkEchHc2R1dh2viLjc5mZDGd4\nbO/IeZ93PuxOM0aTRCKao1ioEI9miUWyZNIFStpA8KrJ0PYrlvH+P9nJ7R/YyrW3rqK53auPqPUF\n7STjeX26m6W1De/1av+07+a3IBqNZMvq91MQoJAv09Tmweb36KN2QQ3eZ0biPLF/lCdORAjecSfW\nru4F+zw6FMVgELE7TPSP5ihzfsbL3NKiM++mDj8IAnlnHQa3W/Uq0FTkRu+Fv7e/SSwF7yX81mJV\nu5f1nX7efmUnDRo7GptNEY7laAjYL5jGEgWBT717M5+8c+Oij/uctRV5yGfTW7MWw/bVIdZ2+Dg5\nHGMmmmVZg+u8sacL9lkL3pu7ghgNv3pLSXVi26N7RqjICts1Fu+wGhekvhpr6AAAH6RJREFUoc+M\nxDAbJW7eoXo2P/rKCP96/zEefGFQF9cdH4jwue8d4O/u3s8//PAg9z/Xz+l5bXhVVJXyP33mLA88\nP0BFVrhyo6oor2YyLl1Tr+9HR4OL8XCGiqxwwyWtdGqtWSaDiN9t0csRVcX5uTgxENF/nwhnCMdz\nFEsyLXULmbDJKPGu67pZ3e7ljqtVE43RmbSua1iuCfnC8TyzWnvd5Nw5JjfhNAJgNkq8rG03o6mn\nF2Pei0EQBMx2EyZFwaDUxrrG0+c7uM33Cjh38XIuqoNZJkZiRGarrWu1faoq9Q1GiboGF4IAU5qJ\ny8h0ism5DDNaTdxfZ2c8nCYNCApMaey1BNx5TRfNdQ7GZ9O6P35FljnSF+ZrD53g51pQFwSBjZe0\n0LWmji2XqdfVSH9EVdprr3stkwCrnyE67/wHbruDlk/9Ne4rrgRqw2iuuKEbQYDutbX2NLPFiMtj\nYW4mTc+Qes5G57X9pRJ5yqUKyXiO2FyWpjYPqzc2UipW9El4iqKw9/kBDuweBtTUvygKNLZqi+w7\nPoAgigiiiMGlnodz0+ZjQ1Eeu/84Q8NRHnlpUO8y+XVjKW2+hN9amI0Sf3a7WjsrV2REQeDEYBRZ\nUWi4AFuuYr4v+MUeO7fefS4EQeDOa7v427v3U5EVljVeXHF6yaoQY+E0121tuejzXg3VbMDeU9MI\nqIsIAIfNyFwij6IoJLMlpiJZ1nb42LIiyE+eOcvzRyb09zgxEKGz0c3PXxlmZDqF1SxRLMkMTCR5\nfN8o7fVO3nFVJ1cGVUHWqCaUKpZl9vRMYzFJ3HH1cmaiWc6MxvG7LCyfZ+yytsPH4GRS3z+71cDA\nZJJ6nw1REGjUaqdPHRzjqYNj7FgT4g9vXQOogrETg1FEQUDWSgNOm8qgz23/Q3v/7atD5Apl7nuu\nn5GZFDZtlGtnk4uj/XOcGY1R0YJLOlcimS3htptQFIXxcJqgx8rlGxp48IVBBKMBpSRjsRqwXsTq\nN5sv80/3HGJNh493XtNFSRR09ziv34Z9JqnXkp8/MkEyU+SG7a2cHU8QcFuYS+QXeOwvhrZOH688\nN8DoYFRXvV/IutZkNuAPOghPJTl6Nsy/Paj2QTcg0IyAP+jg4OlpMigEEXTlehnVEKkt5GRsNs1U\nNEuj38ZdPz5C/7jK4o/2z3HZ2no8DjNbNV1CdC7DoT0j9J9WmXa1aj48nWImll1UU1KFT1uETUwk\n8Pis9J6YoSLLmEw2VsoKkiSQThYwmSVWb2yka3UdBuPCBW+w3snAmTDj2oJrLpEnmy9RypX46XcP\n4vJYWK51FrR2+lnWHdDU7iMs6w4wPhzjyN4xJElg845WMqkCdocJj7bwSldq515yuSnHYvSGjQx8\n9wBvf+9mjCaJM8enGR2IMjoUo1+u0PzBSxa9Rl9vLDHvJfx/AgZJJOSz6qxzMbHaa4XXaa7aSr8m\ndXZjwM61msVqlVlfCGaTxLuv66bO898belJl3oqiZiC8WrbAYTFSkRVyhQq9Wsp8RasHn8tCh2bo\n8eZLWpFEgRODEeLpAmfHE3Q3u/naJ67kq5+4gj9/5wa2raxjeDrFF+49yqmhCIqiMDqTIuC26AuF\nnesasJoNvHl7m/Z3/YKsw7plfn37XqeZS1aGaArY2ajVYq1mAzftaGNFiwe33cTekzO6gn5oOkk6\nV2LbqjoEVFHemLZ4aL6IbavVbKDOa2V0JkU0lccgibRqavBTGtu1aAKzSU0slcgUyeTLNAXtvGlb\nK81BB7MltS/Yd5EMDsCDLwwwHs7w9MFx4ukC0XnOem6fDY/TTDxVQFEUHnh+gId3D/GNh3soV2S2\nrqjDZTPqqfwLIVWREc0SY0NRwtNpfb8uhFCzi0pFYc9Btca7dUWQ6tWmMu8M1c52RVGH2UgGkaDX\nSquWih7VGHv/eILOJhc3bm+lIiu8OM//X/2MVqw2o94rX0TRNSP7Ty/uz19F1fjmZ8/08+3vHuDl\nZ/rZ+9wgL/7iLEN9cyiKavvq1BbTRpPhvHNRHWGbmDchcGw2zYHdw1TKMrG5LAdeGgZUO1ybw8y2\ny9vJpIo8dv8JXnpKHetZqSiEp1Nq8HaZa1mTee9bZdx9wzmi4Yw+Gz4STiNJAoqi/L/t3XlwXNWd\n6PHv7b3Vi9bWvu+2hWwLsDHGG8EYAgYTSFjtPCAMw4MBJwVJcMLisotlyAxTk0qokOI9ppjMhEym\nwiMzCUkgEDMsNhgvkTdsLEuWZGuxJVndknq97497+6plS8aApaat3+cfaFmWTh9d63eW3/kdqlA4\n9QqUySHBW5wzEgP2RMlqZ8JiNhnB8EyPVn1jWTWP/a8LjYzyyZaXcONZfKkaRvd3/SNh9upLovE2\nrV5Rx+rLa/n6sipqitNpOTLIW9s6UIHz67XZid1qpqEim3tWNfC312qz4Pebj9LvDzE4FKYk183q\ny+u4fkkl1ywsB6CxKpvHb7/wlGS4ykKv9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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1146072e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "MMMC.set_energy_function(examples.default_energy_game)\n",
    "MMMC.set_energy_function(student2017.anmol_energy_game)\n",
    "\n",
    "plt.clf()\n",
    "plotwins('Wisconsin','Va. Tech')\n",
    "plotwins('Northwestern','Vanderbilt')\n",
    "plotwins('Miami FL','Michigan St.')\n",
    "plotwins('Arkansas',\"Seton Hall\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/mglerner/coding/MarchMadnessMonteCarlo/Brackets.py:63: RuntimeWarning: divide by zero encountered in double_scalars\n",
      "  boltzmann_factor = exp(-ediff/T)\n"
     ]
    },
    {
     "data": {
      "image/png": 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NwDFL2DPPjGXr1k18990yJk6c7NiXt7c3nTpFMnfuf7jvvuGOc7jvvmGMH/8q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\nRJqR8BZCCCHSjIS3EEIIkWb+f7lk+/YxPZ9VAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11469e4a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "MMMC.set_energy_function(examples.default_energy_game)\n",
    "\n",
    "plt.clf()\n",
    "plotwins('Wisconsin','Va. Tech')\n",
    "plotwins('Northwestern','Vanderbilt')\n",
    "plotwins('Miami FL','Michigan St.')\n",
    "plotwins('Arkansas',\"Seton Hall\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A couple of things jump out. \n",
    "\n",
    " * What temperature should this be, high or low? Have you played with the endpoints?\n",
    " * What happens to clear matchups?\n",
    "\n",
    "What does that do to \"clear\" matchups? Well, Kansas is a big favorite over UC Davis with this model:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from MarchMadnessMonteCarlo import Brackets"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "236.4886295792287"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "student2017.anmol_energy_game('UC Davis','Kansas')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.089165285919211495"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "student2017.anmol_energy_game('Kansas','UC Davis')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/mglerner/coding/MarchMadnessMonteCarlo/Brackets.py:63: RuntimeWarning: divide by zero encountered in double_scalars\n",
      "  boltzmann_factor = exp(-ediff/T)\n"
     ]
    },
    {
     "data": {
      "image/png": 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9cHuDU37G8ZWQe97yyIE8FDwRcnjnRDG0ZrrwkYqJLFa7Ep+9uQy3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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1142c7320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.clf()\n",
    "plotwins('UC Davis','Kansas')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If I pick `T=1.0`, I get Villanova, the favorite, winning 60% of the time. You can feel free to choose a \"saner\" temperature, but I'm rooting for KU here!\n",
    "\n",
    "## Running some brackets!\n",
    "\n",
    "So what does a bracket happen to look like? Well, in the original blog post, I mentioned that we came up with two different ways to run brackets. It can take a while to run a bracket, so a fast way (implemented as `runbracket2`) is to run separate brackets for each of the individual regions, then take the winner from each region's most common bracket to form a Final Four. Below, we do just that, running 10,000 trials for each of the regions, and 1000 trials for the Final Four."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/mglerner/coding/MarchMadnessMonteCarlo/Brackets.py:63: RuntimeWarning: overflow encountered in exp\n",
      "  boltzmann_factor = exp(-ediff/T)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "YOUR LOWEST ENERGY BRACKETS\n",
      "LOWEST ENERGY BRACKET FOR REGION midwest\n",
      "Kansas (1)                                                   \n",
      "UC Davis (16)             Kan (1)                            \n",
      "Miami FL (8)                                                 \n",
      "Michigan St. (9)          Mia (8)  Kan (1)                   \n",
      "Iowa St. (5)                                                 \n",
      "Nevada (12)               Nev (12)                           \n",
      "Purdue (4)                                                   \n",
      "Vermont (13)              Ver (13) Ver (13) Kan (1)          \n",
      "Creighton (6)             Cre (6)  Ore (3)  Ore (3)  Kan (1) \n",
      "Rhode Island (11)                                            \n",
      "Oregon (3)                Ore (3)                            \n",
      "Iona (14)                                                    \n",
      "Michigan (7)              Mic (7)  Lou (2)                   \n",
      "Oklahoma St. (10)                                            \n",
      "Louisville (2)            Lou (2)                            \n",
      "Jax. State (15)                                              \n",
      "Total bracket energy: 32.0856282614\n",
      "\n",
      "\n",
      "LOWEST ENERGY BRACKET FOR REGION west\n",
      "Gonzaga (1)                                                  \n",
      "S. Dak. St. (16)          Gon (1)                            \n",
      "Northwestern (8)                                             \n",
      "Vanderbilt (9)            Nor (8)  Gon (1)                   \n",
      "Notre Dame (5)                                               \n",
      "Princeton (12)            Pri (12)                           \n",
      "W. Virginia (4)                                              \n",
      "Bucknell (13)             W.  (4)  Pri (12) Gon (1)          \n",
      "Maryland (6)              Mar (6)  FGC (14) St. (7)  Gon (1) \n",
      "Xavier (11)                                                  \n",
      "Florida St. (3)           FGC (14)                           \n",
      "FGCU (14)                                                    \n",
      "St. Mary's (7)            St. (7)  St. (7)                   \n",
      "VCU (10)                                                     \n",
      "Arizona (2)               Ari (2)                            \n",
      "North Dakota (15)                                            \n",
      "Total bracket energy: 38.7797682268\n",
      "\n",
      "\n",
      "LOWEST ENERGY BRACKET FOR REGION south\n",
      "N. Carolina (1)                                              \n",
      "Texas So. (16)            N.  (1)                            \n",
      "Arkansas (8)                                                 \n",
      "Seton Hall (9)            Ark (8)  N.  (1)                   \n",
      "Minnesota (5)                                                \n",
      "Middle Tenn. (12)         Mid (12)                           \n",
      "Butler (4)                                                   \n",
      "Winthrop (13)             Win (13) Mid (12) Mid (12)         \n",
      "Cincinnati (6)            Cin (6)  UCL (3)  UCL (3)  UCL (3) \n",
      "Kansas St. (11)                                              \n",
      "UCLA (3)                  UCL (3)                            \n",
      "Kent St. (14)                                                \n",
      "Dayton (7)                Wic (10) Wic (10)                  \n",
      "Wichita St. (10)                                             \n",
      "Kentucky (2)              Ken (2)                            \n",
      "N. Kentucky (15)                                             \n",
      "Total bracket energy: 66.4024861745\n",
      "\n",
      "\n",
      "LOWEST ENERGY BRACKET FOR REGION east\n",
      "Villanova (1)                                                \n",
      "Mt St Mary's (16)         Vil (1)                            \n",
      "Wisconsin (8)                                                \n",
      "Va. Tech (9)              Wis (8)  Vil (1)                   \n",
      "Virginia (5)                                                 \n",
      "UNC Wilm. (12)            UNC (12)                           \n",
      "Florida (4)                                                  \n",
      "ETSU (13)                 ETS (13) UNC (12) Vil (1)          \n",
      "SMU (6)                   SMU (6)  SMU (6)  SMU (6)  Vil (1) \n",
      "USC (11)                                                     \n",
      "Baylor (3)                New (14)                           \n",
      "New Mex. St. (14)                                            \n",
      "S. Carolina (7)           S.  (7)  Duk (2)                   \n",
      "Marquette (10)                                               \n",
      "Duke (2)                  Duk (2)                            \n",
      "Troy (15)                                                    \n",
      "Total bracket energy: 36.8212086976\n",
      "\n",
      "\n",
      "LOWEST ENERGY BRACKET FOR FINAL FOUR\n",
      "Kansas (1)                                 \n",
      "Gonzaga (1)               Gon (1)          \n",
      "UCLA (3)                  UCL (3)  Gon (1) \n",
      "Villanova (1)                              \n",
      "Total bracket energy: 590.945071515\n",
      "\n",
      "YOUR MOST COMMON BRACKETS\n",
      "MOST COMMON BRACKET FOR REGION midwest\n",
      "Kansas (1)                                                   \n",
      "UC Davis (16)             Kan (1)                            \n",
      "Miami FL (8)                                                 \n",
      "Michigan St. (9)          Mia (8)  Kan (1)                   \n",
      "Iowa St. (5)                                                 \n",
      "Nevada (12)               Nev (12)                           \n",
      "Purdue (4)                                                   \n",
      "Vermont (13)              Ver (13) Ver (13) Kan (1)          \n",
      "Creighton (6)             Cre (6)  Ore (3)  Ore (3)  Kan (1) \n",
      "Rhode Island (11)                                            \n",
      "Oregon (3)                Ore (3)                            \n",
      "Iona (14)                                                    \n",
      "Michigan (7)              Okl (10) Lou (2)                   \n",
      "Oklahoma St. (10)                                            \n",
      "Louisville (2)            Lou (2)                            \n",
      "Jax. State (15)                                              \n",
      "Total bracket energy: 32.0856282614\n",
      "\n",
      "number of times this bracket happened: 4324\n",
      "\n",
      "\n",
      "MOST COMMON BRACKET FOR REGION west\n",
      "Gonzaga (1)                                                  \n",
      "S. Dak. St. (16)          Gon (1)                            \n",
      "Northwestern (8)                                             \n",
      "Vanderbilt (9)            Nor (8)  Gon (1)                   \n",
      "Notre Dame (5)                                               \n",
      "Princeton (12)            Pri (12)                           \n",
      "W. Virginia (4)                                              \n",
      "Bucknell (13)             W.  (4)  Pri (12) Gon (1)          \n",
      "Maryland (6)              Mar (6)  FGC (14) St. (7)  Gon (1) \n",
      "Xavier (11)                                                  \n",
      "Florida St. (3)           FGC (14)                           \n",
      "FGCU (14)                                                    \n",
      "St. Mary's (7)            St. (7)  St. (7)                   \n",
      "VCU (10)                                                     \n",
      "Arizona (2)               Ari (2)                            \n",
      "North Dakota (15)                                            \n",
      "Total bracket energy: 38.7797682268\n",
      "\n",
      "number of times this bracket happened: 1614\n",
      "\n",
      "\n",
      "MOST COMMON BRACKET FOR REGION south\n",
      "N. Carolina (1)                                              \n",
      "Texas So. (16)            N.  (1)                            \n",
      "Arkansas (8)                                                 \n",
      "Seton Hall (9)            Ark (8)  N.  (1)                   \n",
      "Minnesota (5)                                                \n",
      "Middle Tenn. (12)         Mid (12)                           \n",
      "Butler (4)                                                   \n",
      "Winthrop (13)             Win (13) Mid (12) Mid (12)         \n",
      "Cincinnati (6)            Cin (6)  UCL (3)  UCL (3)  UCL (3) \n",
      "Kansas St. (11)                                              \n",
      "UCLA (3)                  UCL (3)                            \n",
      "Kent St. (14)                                                \n",
      "Dayton (7)                Wic (10) Ken (2)                   \n",
      "Wichita St. (10)                                             \n",
      "Kentucky (2)              Ken (2)                            \n",
      "N. Kentucky (15)                                             \n",
      "Total bracket energy: 64.3331885916\n",
      "\n",
      "number of times this bracket happened: 7891\n",
      "\n",
      "\n",
      "MOST COMMON BRACKET FOR REGION east\n",
      "Villanova (1)                                                \n",
      "Mt St Mary's (16)         Vil (1)                            \n",
      "Wisconsin (8)                                                \n",
      "Va. Tech (9)              Wis (8)  Vil (1)                   \n",
      "Virginia (5)                                                 \n",
      "UNC Wilm. (12)            UNC (12)                           \n",
      "Florida (4)                                                  \n",
      "ETSU (13)                 ETS (13) UNC (12) Vil (1)          \n",
      "SMU (6)                   SMU (6)  SMU (6)  SMU (6)  Vil (1) \n",
      "USC (11)                                                     \n",
      "Baylor (3)                New (14)                           \n",
      "New Mex. St. (14)                                            \n",
      "S. Carolina (7)           S.  (7)  Duk (2)                   \n",
      "Marquette (10)                                               \n",
      "Duke (2)                  Duk (2)                            \n",
      "Troy (15)                                                    \n",
      "Total bracket energy: 36.8212086976\n",
      "\n",
      "number of times this bracket happened: 3872\n",
      "\n",
      "\n",
      "MOST COMMON BRACKET FOR FINAL FOUR\n",
      "Kansas (1)                                 \n",
      "Gonzaga (1)               Gon (1)          \n",
      "UCLA (3)                  Vil (1)  Gon (1) \n",
      "Villanova (1)                              \n",
      "Total bracket energy: 590.945071515\n",
      "\n",
      "number of times this bracket happened: 512\n"
     ]
    }
   ],
   "source": [
    "results = MMMC.runbracket2(ntrials1=10000,ntrials2=1000,T=1.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So, not looking so hot for my Kansas, but the code is working.\n",
    "\n",
    "Let's visualize the results, then make a table of results, as per [538](http://fivethirtyeight.com/interactives/march-madness-predictions-2015/#mens)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Xrx9bv349Y4yxv/76i1lZWXHLrVq1ihUUFDATExMWFRXFGGMsPDycGRoasjdv3nDfNWMl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\nGiGEoRnt1tCcnBzmzJnD6NGjGTNmDJcuXdJt27VrF35+fsZ6aiFENeb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Rx3NyskGttixy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DNmDPz8/Jo8A5WVlYVJkybB3t4e9vb2mDx5Mn788cd6fTw9PWFra4uZM2di9OjRCAoKgpeXV5P5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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1151b7198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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PH85evnwpVsbSrh0l45k1axY7dOgQY6zwnm7MmDESy6mk4tusqLKOoyJOTk7c9ZExxn7/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\n9BEREREREVmx/wd79g1XQvoKbAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1151918d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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/7z4+Ppg/fz4cHR3RvHlzrqIDKL4myhJ3ac7Pz8fEiRPx0UcfSb0uS9G16Onp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\nhdsgK61r5SOEEHU7ePAgDh06BABo1qwZgoODMW7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nlee2ryOhfi78fDwHRzs5d8SEkJhW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\nmCsJbW8+eJV9p6/x94ciNR5u449l8P0eZXn8M6klQIvQ+OHz16V+b68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ROnmaqusiq7CS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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x116384fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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f6t27N0xNTbF+/Xp4eHigsLAQJiYmWLp0KYDiu4QuX74c+/fvR9euXUVuFCPJ\n91V9JEnfUZU+ffpgzJgx8PX1hZqamsj3++jRozFv3jw4ODigRYsWXKEDiN8uyio5rfnjx48YNWoU\n+vTpU+5xWeK2xxEjRiA+Ph6enp5gjKF3794YPXo0tm/fzk3/9ddfw9XVFSdPnoS3tzcSExO5s6qa\nNm3KnYVgaWmJGTNmQEVFBVOmTMGiRYvg6uoKVVVVdOzYsdxjYsR9nwJAt27doKysDAcHB65IEbc/\nU5XBgwfD19cX27Ztq3Sc6uz7VbbtaGtrY9KkSRg6dCh0dHSgq6sLMzMzvHnzhjv9EIDYtvzmm2+w\nfPlyuLm5gTGGyZMno1u3bhAIBFwbL1myROz3R1keHh5Yv369yB1HL1y4gH379snsjrMlpyzPmjUL\nI0eOxNu3b+Hu7g6BQAAfHx9uOyg9Xmk2Nja4evUqd3M+bW1trFq1Ci1atMCyZcswffp0CIVCqKur\nY8eOHdDS0sKQIUNw7do12Nvbw9DQED179uSO4JVeZ8XdQEsiEl/9R6q0bt06lpyczBgrvsmGubk5\nd2FxTk4O8/Dw4C4GJoxlZWWxDh06cBduy9Ldu3eZs7Mzd6FtiYkTJ8o8S1WysrLYrFmz5B2DyMnn\nXKBOPs2aNWvYhg0bZL5cgUDAJk2aVO6GGNevX2e//PKLzPNU5bvvvmP//POPvGOQGlT6RjCkfnry\n5AmztLSUy7KPHTvG3RCrhEAgYFOmTJFLHnFiY2PZqlWr5B2jWurVkT5pa968OcaOHQtlZWUwxhAU\nFIRGjRrh2rVrmDt3LoYNG8ZdDFzfPXz4EF999RU8PT3FHmmVhoULF+LOnTtYv369yC9viYmJ3Hnr\ntcnTp08/6QHThJDqmz9/Pu7cuYMtW7bIdLkvX77EyJEjYWNjw90CvkR6ejq8vLxkmqcqjDE0b94c\nXbp0kXcUQkgNOXfuHFasWCGX52KOHj0aHz58QGhoqMjrMTExn33fBGmIjY2t8OZntRmPsXp6BTQh\nhBBCCCGE1AN0IxdCCCGEEEIIqcOo6COEEEIIIYSQOoyKPkIIIYQQQgipw2r1jVySk7OqNb6urgbS\n0nKllKbmKVpegDLLiqJlrm5eAwMtKaaRjer0T4r2eQKUWRYULS9Q9zNT31T7UWbZoMzSJ+u+qU4d\n6VNW5ss7QrUoWl6AMsuKomVWtLyypojtQ5mlT9HyApS5rlHEtqHMskGZpU/WeetU0UcIIYQQQggh\nRBQVfYTc1ef9AAAgAElEQVQQQgghhBBSh1HRRwghhBBCCCF1GBV9hBBCCCGEEFKHUdFHCKnzhEIh\nFi9ejBEjRmDkyJF4/vy5yN8vXryIYcOGwcfHBwcOHJBTSkIIKa+goABz587F8OHDMW7cOLx+/Vre\nkQghCqhWP7KBEGk5ci0GJ2+9gbNFa7j3M5Z3HCJlly5dAgDs27cPt2/fxqZNm7B9+3YAgEAgwNq1\na3Hw4EE0aNAAI0eOhJ2dHRo3bizPyESBpWfn42FMCkyM9aGjqVatafecfYKL9xJgZ9YUfvadpZRQ\nMWzafw/Rselort8Ac0eaVbst64oDBw5AQ0MDBw4cwKtXr7Bq1Sr89NNP8o5F6pn07HzM2XJD3jHq\nnCY6Klg3pZ9MlkVH+ki9c+RaDI7ceAOBEDhy4w2OXIuRdyQiZYMGDcKqVasAAO/fv0ejRo24v8XE\nxKBVq1bQ1taGqqoqevXqhaioKHlFJQouPTsf87dHYvepp5i/PRLp2fkST7vn7BNcuJcABuDCvQTs\nOftEekFruZKCDwDiU/Iwd8uNarVlXfLy5UvY2NgAANq2bYuYGPrOIrJFBZ/0JKULsGjHNZksi470\nkXrn5K035YbpaF/dp6ysjIULF+LcuXPYvHkz93p2dja0tP576GnDhg2RnZ1d5fx0dTWq9YwdRXzo\nM2WuvvuvUiAUMgCAUMgQm5QNe6PKjxqXznvxXoLI3y7eS8Bsv97SCfoZZNHGJQVfCQZU2ZbiyHu9\n+BydO3fGpUuXMGjQIDx48ACJiYkQCoXg8yvuf6hvqp0UOfP9VylyTlK3JaULZLJ+UNFH6h1ni9Y4\ncuONyDCpH9avX4958+Zh+PDhOHHiBDQ0NKCpqYmcnBxunJycHJEisDJpabkSL9fAQAvJyVmflFle\nKPOnMWqiCT6fB6GQgc/nwaiJZqWZyua1M2uKC6UKPzuzpnJ/P2XJqo27G+mIFH48QGxbilOdzLVx\nx3zYsGGIiYmBr68vzMzM0LVr10oLPoD6ptpI0TMbNdGUc5q6rYmOSpXrR030TXR6J6l33PsZw92q\nNVT4gLsVXdNXHxw+fBg7d+4EADRo0AA8Hg9KSsXdn7GxMd68eYP09HQUFBTgr7/+Qs+ePeUZlygw\nHU01bJzaF2OdOmHj1L7Vug7Nz74zBpo1BQ/AwHp+TV+Ajxm6G+kAAJrrN8C3063q7TV90dHRsLS0\nxN69e+Ho6IiWLVvKOxKpZ3Q01fDddCt5x6iTZHlNH48xxmSypE9Q3V9FFO2XFEXLC1BmWVG0zNXN\nK+tf03Nzc7F48WJ8+PABhYWFmDhxIvLy8pCbmwsfHx9cvHgRW7duBWMMw4YNg5+fX5XzrO77VaTP\nE6DMsqBoeYG6n7k2HulLTU3FnDlzkJeXBy0tLaxevRqGhoaVjk99U+1DmWVD0TLLum+i0zsJIXWe\nhoYGQkJCKv27nZ0d7OzsZJiIEEIko6enh927d8s7BiFEwdHpnYQQQgghhBBSh1HRRwghhBBCCCF1\nGBV9hBBCCCGEEFKHUdFHCCGEEEIIIXUYFX2EEEIIIYQQUodR0UcIIYQQQgghdRgVfYQQQgghhBBS\nh1HRRwghhBBCCCF1GBV9hBBCCCGEEFKHKUtrxuHh4YiIiAAA5Ofn48mTJzhw4ABWrVoFPp8PVVVV\nrF+/Ho0bN5ZWBEIIIYQQQgip96R2pM/T0xNhYWEICwtD165dERgYiNWrV2Pp0qUICwvD4MGD8cMP\nP0hr8YQQQgghhBBCIMUjfSWio6Px8uVLLFu2DLa2tmjSpAkAQCgUQk1NTdqLJ4QQQgghhJB6TepF\n386dOzFt2jQA4Aq+e/fu4ffff8eePXvETqurqwFlZX61lmdgoPVpQeVE0fIClFlWFC2zouUlhBBC\nCKkvpFr0ZWZmIjY2FhYWFtxrJ0+exPbt27Fr1y7o6emJnT4tLbdayzMw0EJyctYnZZUHRcsLUGZZ\nUbTM1c1LBSIhhBBCiOxIteiLioqCpaUlN3zkyBHs378fYWFh0NHRkeaiCSGEEEIUnkAgwKJFixAf\nHw8lJSWsWrUKxsbG8o5FCFEwUi36YmNj0aJFCwDF1/CtXr0aTZs2xYwZMwAA5ubmmDlzpjQjEEII\nIYQorCtXrqCwsBD79u3DjRs38P333yM0NFTesYiCmrnpIrLzP316LXUgZLZdzQUiMiPVom/ChAnc\nv/l8Pu7cuSPNxRFCCCGE1ClGRkYQCoUoKipCdnY2lJWlfjsGUkd9bsEHAFkfgVnfX6TCTwFRz0EI\nIYQQUktpaGggPj4eTk5OSEtLw44dO8SOX92b4CniNdaU+dN8bsFXIutj7Xg/FamtuSojy7xU9BFC\nCCGE1FK7d++GtbU15s6di4SEBPj7++PYsWOVPvaqOjfBU7SbhgGU+XNoqtVM4aeljlrxfsqqLe0s\nqerkrYniUGoPZyeEEEIIIZ+nUaNG0NIq3uHT1tZGYWEhhEKhnFMRRbQ5wA6an/mIbLqmT3HRkT5C\nCCGEkFpq7Nix+Prrr+Hr6wuBQICAgABoaGjIOxZRUJsDJCvYFO2oGakaFX2EEEIIIbVUw4YNERIS\nIu8YhBAFR0UfIaTOEwgE+PrrrxEfH4+CggJMnToVAwcO5P6+e/du/Pnnn9DT0wMArFixAm3btpVX\nXEIIIYSQGkVFHyGkzjt69Ch0dHSwceNGpKenw8PDQ6Toe/ToEdavX49u3brJMSUhhBBCiHRQ0UcI\nqfMcHR3h4OAAAGCMgc8XvZ35P//8g127diE5ORkDBgzA5MmT5RGTEEIIIUQqqOgjhNR5DRs2BABk\nZ2dj5syZmD17tsjfXVxc4OvrC01NTUyfPh2XLl2Cra2t2HnSs7BqJ0XLrGh5AcpMCCGKiIo+Qki9\nkJCQgGnTpsHX1xdubm7c64wx+Pv7c7dE79+/Px4/flxl0UfPwqp9FC2zouUF6n5mKg4JIXUVPaeP\nEFLnffjwAePGjcP8+fPh5eUl8rfs7Gy4uroiJycHjDHcvn2bru0jhBBCSJ1CR/oIIXXejh07kJmZ\niW3btmHbtm0AAG9vb+Tl5cHHxwcBAQEYM2YMVFVVYWlpif79+8s5MSGEEEJIzaGijxBS5wUGBiIw\nMLDSv3t4eMDDw0OGiQghhBBCZIdO7ySEEEIIIYSQOoyKPkIIIYQQQgipw6joI4QQQgghhJA6jIo+\nQgghhBBCCKnDqOgjhBBCCCGEkDqMij5CCCGEEEIIqcOo6COEEEIIIYSQOoye00cUVnp2Ph7GpMDE\nWB86mmoST3fpXhz2n38BLU01jHXqhK5G+lJMWbu9TczCpgN/ISOHoVd7PUwb1kPekQghhJQSHh6O\niIgIAEB+fj6ePHmCGzduoFGjRnJORghRJFT0EYWUnp2P+dsjIRQy8Pk8bJzaV6LC79K9OISdfQEA\nSMnMx7f7H2Cuj2m9LPzeJmZh+S9R3PDdF6nYeuhvKvwIIaQW8fT0hKenJwBgxYoVGDZsGBV8Vfjm\nh0i8S/ko7xi1looSsP4rq2r9YE4UH53eSRTSw5gUCIUMACAUMjyMSZFouoirr8q9dvhabI1mUxRn\no+LKvXb3RaockhBCCKlKdHQ0Xr58CR8fH3lHqdWo4KuaoAiYs+UG0rPz5R2FyBAd6SMKycRYH3w+\njzvSZ2Is2ZG6oTZtuSN9JTz6GUkjYq1nb94SkY/+FXmtV3s9OaUhhBAizs6dOzFt2rQqx9PV1YCy\nMl/i+RoYaH1OLLkQl5kKPsnFJmXD3qhxpX+va+tGbSTLvFT0EYWko6mGjVP7VvuaPluzlgBA1/QB\naGWoheVfmtM1fYQQUstlZmYiNjYWFhYWVY6blpYr8XwNDLSQnJz1OdFkrqrMLfTVqfCTkFETzUrb\nsi6uG7VNdfLWRHFIRR9RWDqaarAxbVbt6WzNWnLFX33XylALm2bYyjsGIYQQMaKiomBpaSnvGAph\n5cS+dIpnFeiavvqJij5CCCGEkFosNjYWLVq0kHcMhbFyYl95RxChaEegSN1ERR8hhBBCSC02YcIE\neUcghCg4unsnIYQQQgghhNRhdbLoe5uYhR+PP8bbRDqULguX7sVh5vdXcOle+UcAEMX3saAQMe8z\n8LGgUN5RCCGkzsjOzsaLFy+qHpEQQmpAnTu9s/QDpyMf/YvlX5qjlaFi3b5VkZR+2HnJ/+kmKXXH\nx4JCrPr1LySk5KKpvgaW+n8BddU6120QQohM/Pnnn7h37x7mz58PDw8PNGzYEPb29ggICJB3NEJI\nHVfnjvSVfeB0RQ+gJjWn7MPOK3r4OVFc8R9ykJBSfPvvhJRcxH/IkXMiQghRXHv37sXChQtx/Phx\nDBw4EMeOHcO1a9fkHYsQUg/UuaLP3ryl2GFSs4batBU7TBRb88YN0VRfAwDQVF8DzRs3lHMiQghR\nbDo6Orhy5QoGDBgAZWVl5OfnyzsSIaQeqHPnaZU8cPpsVBzszVvSqZ1SVnIqZ8TVVxhq05ZO7axj\n1FWVsdT/C8R/yEHzxg3p1E5CCPkM7dq1w+TJk/Hu3TtYWlpi1qxZ6Natm7xjEULqAantwYWHhyMi\nIgIAkJ+fjydPnuCPP/7AmjVrwOPx0L59eyxbtgxKSjV/sLGVoRYmuHap8fmSitHDzus2dVVlGDfT\nlncMQghReGvWrMH9+/fRvn17qKqqwt3dHRYWFvKORQipB6R2eqenpyfCwsIQFhaGrl27IjAwEFu3\nbsXs2bPxxx9/gDGGCxcuSGvxhBDCEQgEmD9/Pnx9feHl5VWu77l48SKGDRsGHx8fHDhwQE4pCSF1\nnZ+fH8zNzaGjowMA6N+/P3x8fOScihBSH0j9XK3o6Gi8fPkSy5Ytw5YtW9C7d28AgI2NDW7cuIHB\ngwdLOwIhpJ47evQodHR0sHHjRqSnp8PDwwMDBw4EUFwQrl27FgcPHkSDBg0wcuRI2NnZoXHjxlLJ\nsi4sCs/js9ChuRYWjTYXO+4PRx7i5pMPsOzcGBPdTfBPbArCr7yCZTdDWJs040633Xrob9x9kQq+\nEuDv2BEx8em48iAR2hpARi7Q3UgHAT5mAICgX27jVWL5G/K0MdDAm+Rc2Jk1hZ99Z+71s3feYN/F\nGADAQLOm6GfaAmej4tCplTainibDtW8btG+hg8BdN/A+NR/N9NQww6snfjn5GLEJmRhiZQQVZSUc\nuR6LXh30EftvDjxt2qJnhyY4e+cNjlyPhbu1Eex7t0Z6dj4exqTAxFgfOppq+PXUPyLvAwB6GOti\njFMXRFyNQXTMB7Rpqg0fu/bIFwixZFckElI/YqBZU6Rn5ePui1R0atkIetoayM3Lx98xadBpqIKp\nQ7ujfYvine63iVnYcSQaSWkf4dSnJV7EpeN5fBZaNW6AFv/T/qTLBEo+NwBQ4wF8VT5GDGwHa5Pm\n3Djp2fm4/yoFRk00oaOphvTsfCzYcgMlD0bp1V4P04b1EJnvkWsxOHnrDZwtWsO9nzHXfk11G+BV\nYg76mxrC36krbj9OwM6jT7j5+Dl0xsOYFCjxGM7ciYOnTVuoqvBx+FosPPoZoauRPtcWJZdGXHvw\nDhfvJXDrw4Y9f+FpXCZ0tZSQnVuEnu0NMGJQB+hoqlXaDompuYi4+hL/puaiZ3sD/PUsmfvsS3ws\nKBQ5fXzT/nuIjk1Hh+ZaSM3+iA8ZAmiqAdn/f9mbhpoSlvr3hqGeBvacfYIL9xLAByAEoN9IDQN6\nNMOtx4nlliNvY8aMwZ07dwAAnTt3BmMMAKCsrAw7Ozt5RiOE1BM8VtLzSMn06dMxatQoWFhYwNra\nGtevXwcA3Lx5E4cOHUJwcHCl0xYWCqGszJdmPEJIPZCTkwPGGDQ1NZGWliZytO/p06fYuHEjfvrp\nJwDFp1/17NkTTk5OYueZnCz5c0ANDLSQnJzFFXwlxBV+pQsHAOjUshGexmVyw3paagia2Ac/HXuE\nuy9Sq8zQ3UgHObmCCgu+sgaaNcVsv97Yc+IRV/CJo6elhNSsoirHK826mwGuP0rmht2tWuP4rbcQ\nChn4fB56d9AXef81bfEoM6ip8LlH/IhTnUf/lP3cShvn3BHWJs2Rnp2P+dsjufe6dMwXFeYoXfgd\nuRaDIzfecH/r0lobj99klJum7HoCADwA4r7o5/qYQktDtdK2aNQAyMwr/7oSDwieZlVh4ZeYmovF\nu25VOL8Znt3Qs0OTco+E0dVUqfA9VcSyc+Mq14+S5ZRsf5IwMJDufQCCgoIQGBgo1WV8St+kSCiz\nbFBm6ZN13yTVI32ZmZmIjY3lzlcvff1eTk4OGjVqJHb6tLTcai2vLn/YtQVllg1Fy1zdvNLesSqr\nYcPiu45mZ2dj5syZmD17Nve37OxsaGlpiYybnZ1d5Tx1dTWq9aOUgYGWSMEHAM/jsypti7I7tGV3\n5FOz8pFbyCQq+AAgOjZd4qwX7yVgth9w9MZricavbsEHQKTgA4CT/1/wAYBQyKRa8AHA2b/ioC3m\nKFVpV6MTENCtmUTjist9+PprDB3YCfdfpYi816vRCRWOf/dFKrd+nLz1VuRvlRVHZdcTQHzBBwAn\nbr1BMwPNSv9eUcEHAEUMiE3Khr1R+aPip6LeVjBFsaORr2FvZYxnb1JFHgmTkFJF0FIkWT9KlgPI\nvs+pTGBgII4dO4aXL19iypQpOHPmDDw8POQdixBSD0j1kQ1RUVGwtLTkhrt06YLbt28DAK5evYov\nvvhCmosnhBBOQkICxowZA3d3d7i5uXGva2pqIifnv6NfOTk5IkVgZdLScpGcnCXRf0Dxr+8dmovO\nt0NzrUqnsewsuiPdqaXoj2R6WmrQUOahV3s9id5/dyMdtDWU7JEbdmZNAQBDrNpINL6eVvW/Sqy7\nGYgMO1u0Ap/PAwDw+bxy77+m2X/REjbdm0o0rk33phJ/1uJye1i3QXJyFoyaaIq818py9Gqvx83X\n2aKVyN+6tK745kpl1xOg+EifOC4WrcW2RaMGFb+uxAOMmmhW2A5mxpW3w5C+xe2gocwTeSRMZe+p\nIpKsHyXLAVCtbVWagoODceXKFZw9exaFhYU4dOgQ1q1bJ/XlEkIIf/ny5culNfOLFy9CR0cHPXoU\nn57StWtXrFu3Dvv374e2tjYmTZok9u6dubkF1Vpew4Zq1Z5GnhQtL0CZZUXRMlc3b8OGkh1hqSkf\nPnzA2LFj8fXXX8PBwUHkb9ra2ti2bRvc3NygpKSEzZs3Y8KECdDUrPzIB1C9/qmkfaxNm+NJ7Aek\nZBVUeU1fr06GSErJwrsPubDs3BgzvXuiXfNG+DclF84WrTDWuTPUVZXRu8v/8C4xAwmpeeArAV86\ndUQjDWW8ScyBtgaQL/jvmj6bni0Q/SIJaTmCcstrY6CBjFwBBv7/NVwNG6qhqW4DNFBVwqPYNADF\np336O3ZGQWERBn/RHIVChvEunTFyUCdEPX6PrDwhmump4evR5ohLzERmTj6G9jOCqbE+YuIzYNG5\nMYRFwFjHjnC2bIsGqkqIic+AV/+2cOlrBBvTZmiq3xCj7TvCyqQ50rNyRd4HUHxN3wK/Xsj9KEBm\n9kd0aq2LWV6m6GfSFM/epiI7rxADzZpCT1MVCal56NSyETq00oW+lgr+TfsInYYqCPDpgfYtdKCt\nqYae7Rvj6dtU5H4shLNFS/AYQ0pWAVo1boCubRtjvEvnal3TV/pzA4qv6VNT42O0Qwfumj51VWXY\nmDZDhzZ6GD7AGIZ6Gujfoxku3IlDyTHTstf0dWqtB7AivHqfAbe+rTHOpSvXfq0aayAtR4D+poaY\n5tkD/9NTx91nH7j5zPM1Q1P9hjDroI+ktDyMdeyIfiZNkZSWh3HOndDVSJ9ri4LCIox36Qy+EsPr\nhGwMNGuKBX698exNCj5k5kNXSwlCIcMXHQ0wZ0TPSq/p02ygAosuhsjK+Qi+EjCgRzNk5wkw1rEj\nd62dMl8JVt3/hx7tG8O1bxvY9GiBV/FpSEr/iA7NtcBTYsjNL4KmGlAgLJ6vhpoSVo7vA5ueLZCd\n+xGxCdngo/hopn4jNTj3aYXMnAKR5VSnf5J237Rhwwb89NNPOHjwIPz9/TFkyBCsW7cOfn5+NbaM\nT+mbFAlllg3KLH2y7pukfk3f56jur251/ZS42oAyy4aiZa7tp3cGBQXh1KlTaNu2Lfeat7c38vLy\n4OPjg4sXL2Lr1q1gjGHYsGES7YDRdTO1j6JlVrS8QN3PLO2+ydPTE4cOHYKnpyciIiKQm5uL4cOH\n4/jx4zW2DOqbah/KLBuKlrlOXdNHCCG1QWBgoNibJ9jZ2dEd9AghUufo6IjZs2cjIyMDu3fvxtGj\nR+Hi4lLldDt37sTFixchEAgwcuRIeHt7yyAtIaQuoaKPEEIIIUQGJk2ahGvXrqFZs2ZISEjAjBkz\nYGtrK3aa27dv4/79+9i7dy/y8vLw888/yyitYil5xEtp7lbFjzchhFDRVyslpubienQCrLs3haGe\nhrzjVEvZ524RQgghpNjFixdhZ2eHfv36AQCSkpIwY8YMhIaGVjrN9evX0aFDB0ybNg3Z2dlYsGCB\nrOIqjIoKPgDcY06o8COEir5ap/SzjU7cfIO1kywUpvAr/RDnkv9T4UcIIYQU27RpE4RCIQYPHow9\ne/Zg69atVV5DnJaWhvfv32PHjh149+4dpk6ditOnT4PHq/i+rJ/yOBlFUzZzRQVfiZO33mKCZ49K\n/y4rdaGdFYGiZZZlXir6apnrZZ7XdD06AcP6K8YvVEeux5YbpqKPEEIIKbZ7925MnjwZ27Ztg56e\nHvbu3YvWrcV/T+ro6KBt27ZQVVVF27ZtoaamhtTUVOjr61c4fnWecaxoN74AKs7c39Sw0sLP2aKV\n3N9jXWnn2k7RMsv6Ri5SfU4fqT7rMs9KKjtcm7lbG4kdJoQQQuqjqKgoREVF4dWrV5g6dSqSk5Nh\nY2ODpKQkREVFiZ22V69euHbtGhhjSExMRF5eHnR0dGSUXDH4O3VFf1PDcq/TNX2E/IeO9NUyhnoa\nWDvJQiGv6Ss5qkfX9BFCCCH/2bx5s8iwkZERzp8/j/Pnz4PH4+G3336rdFpbW1tERUXBy8sLjDF8\n88034PMlP32zvvB36gp/p67yjkFIrUVFXy1kqKehMKd0lmXfuzUVe4QQQkgpYWFh3L9TUlKgr6+P\nvLw8JCUlVXl6JwC6eQsh5LPR6Z2EEEIIITIQFhaGCRMmAABSU1MxZcoU7N+/X86pCCH1ARV9hBBC\nCCEysH//fuzZswcA0Lx5c4SHh+P333+XcypCSH1ARR8hhBBCiAwIBAKoqqpywyoqKnJMQwipTyS6\npm/FihUYOnQoTExMpJ2HEEKqVFBQgFevXqFTp044duwYHj9+jC+//BJNmjSRdzRCCKnUoEGD4O/v\nDycnJwDA2bNnYWdnJ+dUhJD6QKIjfaampvj222/h5uaGH3/8EcnJydLORQghlZo/fz7OnDmDBw8e\nIDQ0FJqamli0aJG8YxFCiFjz58/H6NGjERsbi7i4OIwZMwYBAQHyjkUIqQckKvo8PDzw66+/Yteu\nXWCMYcSIEZg8eTLOnz8v7XyEEFLOu3fvMGvWLJw5cwZeXl6YNm0aMjIy5B2LEEKq1KpVKzg5OWHQ\noEHQ1NTEwYMH5R2JEFIPSPzIhri4OBw9ehQnTpxA69atMWjQIJw6dQpnz57Fhg0bpJmREEJECIVC\npKam4sKFCwgNDUVycjI+fvwo71iEECLWwoULcf/+fWRkZKBt27Z4+vQpzMzM4OXlJe9ohJA6TqKi\nb8SIEUhJSYG7uzt+/PFHNGvWDAAwdOhQ2NjYSDUgIYSUNWHCBAwfPhx2dnbo0KEDHBwcMGvWLHnH\nIoQQsaKionDmzBmsWrUKY8aMAWMMK1eulHcsQkg9IFHRN2vWLFhaWpafWFkZkZGRNR5K1nZEPMCd\nZyno3VEfU4aa1ui83yZm4WxUHOzNW6KVoVaNzhsA0rPz8TAmBSbG+tDRVPuseeg3UsPNfxKllrW0\nmmyXf2JTcPhaLDz6GaGrkb5E01TWbtcfxuPXk8/AeIBb39Zw72f8WdkAIDE1F0evxyA1Kx+e/duh\nfQsdseNfuheHI9dfw926DWzNWn728usiXV1dkdPLT548iQsXLsgxESGEVK1JkyZQUVGBsbExnj17\nBhcXF+Tk5Mg7FiGkHpCo6Dt69CiOHj3KDfN4PKirq8PY2Bje3t4itx9WNCUFH4Di/0c8qLHC721i\nFpb/EgUAiHz0L5Z/aV6jxVR6dj7mb4+EUMjA5/OwcWrfahd+pedRQhpZS6vJdvknNgXf7n8AAPh2\n/wPM9TGtsvCrrN2uP4zHzyefFY/EgCM33gDAZxV+iam5WLzrFje89vd7WDzKrNLC79K9OISdfQEA\n3P+p8PvPyZMnUVBQgM2bN2PmzJnc64WFhdi5cyfs7e3lmI4QQsQzNDTEzp07YWlpiY0bNwIAcnNz\n5ZyKEFIfSHQjFz6fj+zsbAwaNAiDBg1Cfn4+UlJSEBsbi2XLlkk7o1SVFHyVDX+Os1FxYoc/18OY\nFK5YEwoZHsZUP3vpeZRW01nFzftzlnX4WqzY4YpU1m7hV16VG/fkrTefnA0ArkcnlHvteOTrSseP\nuPpK7HB9l52djdu3byMnJwe3b9/m/vv777/pDniEkFpv9erVaNGiBUxMTGBvb4/jx49j+fLl8o5F\nCKkHJDrS9/jxY4SHh3PDdnZ28Pb2RkhICIYMGSK1cLLQu6O+SKHXu6NkpwdKwt68JSIf/SsyXJNM\njPXB5/O4I1YmxtXPXnoepdV01rLzrql28ehnxB3pKxmuSmXt5tm/7X9H+v6fs0XrT84GANbdm+LE\nTdHC0bVvm0rHH2rTljvCVzJM/jN8+HAMHz4cN2/erPCUc0IIqc1mzpyJn3/+GQAwevRojB49Ws6J\nCCH1hURFX15eHpKTk2FgYAAASElJQX5+PoDiu+gpsilDTQEpXdPXylALy780l9o1fTqaatg4te9n\nXa9GuUIAACAASURBVNNXeh6yuqavJtulq5E+5vqYVuuavsrazdqkOQDU6DV9hnoaWDvJQuJr+kpO\n5aRr+sRr2bIlvvzyS8THx2PPnj2YO3cu1qxZgxYtWsg7GiGEVOrjx49ISEhA06ZN5R2FEFLP8Bhj\n5c/tK+PkyZNYu3YtevbsiaKiIjx69AhLlizB06dPkZmZiSVLlkglXHJyVrXGNzDQqvY08qRoeQHK\nLCuKlrm6eQ0MPu9HhfHjx+PLL79EcHAwIiIi8Oeff+LIkSPYs2fPZ823Oqr7fhXp8wQosywoWl6g\n7mf+3L6pKk5OTnj9+jX09fWhpqYGxhh4PF6N3oiK+qbahzLLhqJllnXfJNGRvrZt2+LIkSO4e/cu\nlJSUsHLlSujp6cHc3Bw6OuLvREgIITUtLS0N1tbWCA4OBo/Hw/Dhw2Va8BFCyKf48ccf5R2BEFJP\nSVT0BQQE4NSpUxg8eLDI61TwEULkQV1dHf/++y94PB4A4K+//pLoLsIPHjxAcHAwwsLCRF7fvXs3\n/vzzT+jp6QEAVqxYgbZt6XpKQkjNat68OS5evIg7d+5AWVkZffv2Rd++faucbujQodDU1AQAtGjR\nAmvXrpV2VEJIHSNR0deuXTts2bIFpqamUFdX5143NzeXWjBCCKnM4sWLMXnyZLx9+xbu7u7IyMhA\nSEiI2Gl++OEHHD16FA0aNCj3t0ePHmH9+vXo1q2btCITQgi+/fZb3L17F05OTmCMISQkBNHR0Zg8\neXKl0+Tn54MxVu7HKnkq/bik2qZdU0187d9b3jEIqXUkKvrS09O5W6OX4PF4+O2336QWjBBCKtO9\ne3ccPHgQr1+/hlAohLGxMVRUVMRO06pVK4SGhmLBggXl/vbPP/9g165dSE5OxoABA8TugBFCyKe6\nfPkywsPDuf7Kx8cHw4YNE9vnPH36FHl5eRg3bhwKCwsxZ84c9OjRQ1aRy6nNBR8AvEzIxppf71Dh\nR0gZEhV9tenXJUIIefjwIe7evQs/Pz9MmTIFjx8/xooVK+Dg4FDpNA4ODnj37l2Ff3NxcYGvry80\nNTUxffp0XLp0Cba2tmIz6OpqQFmZL3Fmad8gQhoos/QpWl6AMn8ObW1t5OTkcJfHCAQC7rTNyqir\nq2P8+PHw9vbG69evMXHiRJw+fRrKyhXvwkm7bzqx9161xpeHlwnZteYzL1Hb8kiCMkufLPNKVPTF\nx8cjMDCQbo9OCKkVgoKCMG/ePJw5cwbq6uoIDw/HjBkzxBZ9lWGMwd/fH1paxR1v//798fjx4yqL\nvrS0XImXoWh3FAMosywoWl6g7meW1g7Y4sWLAQBFRUVwd3eHnZ0d+Hw+rl69WuX1w0ZGRmjdujV4\nPB6MjIygo6OD5OTkSh/7IO2+ycWiNZ6+Sa/WNLLWrqlmrVpP6/p2U1soWmZZ901Kkoz0zTffYPz4\n8dDQ0EDjxo3h6uqKhQsXfvbCCSHkUxQVFaF37964fPky7O3t0axZs09+Zmh2djZcXV2Rk5MDxhhu\n375N1/YRQmpU79690bt3b3h7e2P27NkwMTFB165dMXXq1Cp/rDp48CDWrVsHAEhM/D/27jwuqnr/\n4/hrGBaRRRCQFEUFxSXcl1xQFMt918QltMVbmtVVK7UyxS1TW27avab+ri22qLnkUpkVLpBLuC+5\ngwuIqAjIJuv39weXiWEGBGVgwM/z8eiR58yZc95nmS/zmXO+58SSnJyse25yech7Pq65kj59QhhX\nrDN9cnt0IYQ5sbW1ZfXq1Rw4cIBZs2bx5ZdfYmdnV6J5bNu2jdTUVAIDA5kyZQpjx47F2tqajh07\n4u/vb6LkQohH0ZAhQx74vcOHD+ett95i1KhRaDQa3nvvvUIv7Swrj9d3YfWMgHJZdkU7myOEuShW\nq/Ggt0cXQghT+OCDD/j+++/59NNPqVatGjdv3uTDDz+87/tq167N+vXrARgwYIBu/ODBgxk8eLDJ\n8gohxIOytrYuVvsmhBBFKVbRZ+z26P/6179MnU0AF6IS2L7vMv071aNh7Qd7LuLOP6+wJSySQX71\n6dm+biknhKuxSewMv0bPdnXwdDd+zfHq7ScJO3ULP183nu/f7KGXmZCczn82neDi9ST8W7gzrs/j\nDz1PYx52252OjOOH0EgGd6nP4/Vd7jv9+2vCOR+dxONeTrw+onWxlhF2IppNeyIY6u+FX3MPo9Pc\ny8gi+nYKHq52HDobyxc/nSMHqOtmh4O9FRei7jKki/F1LI1jsLS5u7vTqFEjfvzxR3bs2EHXrl15\n7LHHyjuWEEIIIYRZKlbRV/D26F5eXnKmrwxciEpg4de5d8k6GXGHt55pXeIv3Tv/vMLakEsAuv+X\nZuF3NTaJ4M/DAdh36gbBz7UzKPzyCj7gf/8/+VCFX0JyOlM//UM3vOd4LECpF34Pu+3y39b6w3XH\neT2wRZGFX17BB3A6IoH314QzI6joZ2GGnYhm9U/nAHT/L1j43cvIYt6Xh4iJS8Wxqoa7qUr32pVb\nKZC7a4yuY2kcg6awaNEijh07Rt++fcnJyeGTTz7h1KlT8qgFIYTZi4qK4uLFi3Tp0oXr169Tp06d\n8o4khHgEFOtGLtHR0Xz00Ud8/vnnfPnll8yePVt3JyphOtv3XS5yuDi2hEUWOfywdoZfK3IY0BV8\nhQ2X1IlLcQbj8gq/0vSw2+6H0MgihwvKK/gKGzZm056IIocBom+nEBOXeze3/AWfMQXXsTSOQVMI\nCQlhzZo1BAUFMW7cONasWcMPP/xQ3rGEEKJIP/30ExMnTmT+/PkkJCQwcuRItmzZUt6xhBCPgGIV\nfZMnTwagbdu2ujtQtW8vd0Yytf6d6hU5XByD/OoXOfywerarU+QwgJ+vW5HDJdXc2/BsmX8L94ea\npzEPu+0Gd6lf5HBBPh4ORQ4bM9Tfq8hhAA9XO2q6VAXAsaqmyPkVXMfSOAZNwcXFhbt37+qGMzMz\ncXZ2LsdEQghxf6tWreK7777D3t4eFxcXNm/ezMqVK8s7lhDiEVCsyzuzsrIe6BENK1asICQkhMzM\nTEaNGoWvry+zZ89Gq9VSr149FixYgIVFserOR1LD2k689Uzrh+pPlXepnqn69Hm6OxD8XLsi+/Tl\nXspZen36nOxt+OiVzibv0/ew2y7vttbF7dM3I6hdifv05V3KWVSfvirWlrw7ru0D9ekrjWPQFKpV\nq6b3rKvQ0FBcXFx0VyAsXLiwnBMKIYQhCwsLvYex16hRQ74HCSHKhEYpVfT1XuQ+CLlTp074+fkV\nuy/fwYMH+fzzz/nPf/5DWloaq1ev5uzZs4wYMQJ/f39ef/11+vXrR0BA4bf8LekteSvabXwrWl6Q\nzGWlomUuad6HfchowUs5CzZjD3N79OIq6fpWpP0JkrksVLS8UPkzm+rh7HlmzJiBr68va9euZcmS\nJXz77bfcu3ePJUuWlNoypG0yP5K5bFS0zGXdNhXrTN+OHTv4+uuvdY9sUEqh0Wg4c+ZMoe8JCwvD\nx8eHSZMmkZyczLRp09BoNCQkJKCUIiUlpdyfMyOEqFgaN26MRqPRFXkajYZq1arRqVMnZs2ahZOT\neZyJFEIIY2bNmsXy5cuxsbHh7bffpkOHDg90JZUQQpRUkVXXt99+y+jRowkLC+P8+fP4+PjoXps/\nf36RM46Pj+f69et89tlnREVFMXHiRF599VXmzp3L8uXLcXBw4IknnihyHs7OVbG01JZgdUz/K11p\nq2h5QTKXlYqWuSzynj171mBcXFwc69atY+7cuXz00UcmzyCEEA+qatWqvP7667z++uvlHUUI8Ygp\nsuj7/vvvGT16NADTp09n8+bNutcOHz5c5IydnJx0j3bw8vLCxsaGN954g23bttGwYUO++eYb3n//\nfWbPnl3oPOLjU0uyLpX6tK65kMxlo6JlLuvLO/NzcXHh5Zdfpl+/fqU2TyGEMIW8qxXyc3NzY+/e\nveWUSAjxqCiy6MvfT6Zgn5n7dQVs06YNX331Fc899xw3b94kLS0NT09PXQfmGjVqcOTIkQfNLYQQ\neqysrMo7ghBCFCn/1QqZmZn89ttvHDt2rBwTCSEeFcXuVFfwl6mCwwV1796d8PBwhg8fjlKKWbNm\nYWtry5QpU7C0tMTKyop58+Y9WGohhMhn586d0p9PCFGhWFlZ0adPHz777LPyjiKEeAQUWfTdr7C7\nn2nTphmMW7t27UPNUwjx6AoICDBol5KTk6lbt26p3v1OCCFMIf+dh5VSXLhwQa5SEEKUiSKLvgsX\nLtCjRw8AYmNjdf9WSnHr1i3TpxNCiHzWrFmjN2xhYYGjoyN2dnbllEgIIYrv4MGDesPOzs58/PHH\n5ZRGCPEoKbLo++WXX8oqhxBC3JeHh+HD54UQoqJYuHBheUcQQjyiiiz65AuWEEIIIUTpMHaJOvz9\n/OPff/+90PfGxcUxdOhQVq9ejbe3tyljCiEqIXk6uhBCCCFEGRgwYABWVlaMGDECS0tLtm3bxsmT\nJ5kyZUqR78vMzGTWrFlUqVLFZNk+23ycP8/Fleg9zvYaPnylu4kSCSFKk0V5BxBCCCGEeBSEhoby\nyiuvUKNGDapXr864ceOIiIjAw8OjyKurFi1axMiRI6lRo4ZJcj1IwQcQn6x4/dNdJkgkhChtcqZP\nCCGEEKKM7Nu3j06dOgGwa9eu+96IatOmTVSvXp0uXbqwcuXK+87f2bkqlpbaYudxc3N4oIIvT3yy\nws3N4YHf/yDKenmlQTKXjYqWuSzzStEnhBBCCFEG5s6dy/Tp07l9+zYAXl5eLFq0qMj3bNy4EY1G\nw/79+zlz5gzTp09n+fLluLm5GZ0+Pj612Hnc3By4dSuJ9o1cHrjwc7bXcOtW0gO990HkZa5IJHPZ\nqGiZS5K3NIpDKfqEEEIIIcqAr68vP/74I3fu3MHGxqZYj5v55ptvdP8OCgoiODi40ILvQU0Y0gKk\nT58QlZoUfUIIIYQQJvTuu+8yb948goKCjN6986uvviqHVPomDGnBhPIOIYQwGSn6hBBCCCFMKDAw\nEIBXX331oeazZs2a0ogjhHgEyd07hRCPjOPHjxMUFGQwPiQkhGHDhhEYGMj69evLIZkQojLz9fUF\noH379jg7O2NhYYFGo9H9J4QQpiZn+oQQj4RVq1axdetWbG1t9cZnZmaycOFCNmzYgK2tLaNGjSIg\nIABXV9dSWW7YiWhW/3SuVOZVmpzttSilSEjJKe8oIh8NoAWyyjtIJdOjdU3G9GxS3jGYO3cuISEh\n1KlTRzdOo9GYxeWdQojKTYo+IcQjwdPTk2XLljFt2jS98ZcuXcLT05Nq1aoB0KZNG8LDw+nTp89D\nL9NcCz6A+OTs8o4gjFBIwWcKvx+JASj3wi8sLIwdO3aY9CHrQghhjBR9QohHQq9evYiKijIYn5yc\njIPD37dCtrOzIzk5+b7zK86zsH4Iu1zinEII0wg5EsPkMe3LNUOdOnVQSpVrBiHEo0mKPiHEI83e\n3p6UlBTdcEpKil4RWJjiPAtrsF89sz3TJ8SjJqB1zfs+E8vUD0quVq0a/fr1o1WrVlhbW+vGL1y4\n0KTLFUIIKfqEEI80b29vrly5QkJCAlWrVuXQoUO88MILpTJvv+YeAGZZ+EmfPvMkffpMw1z69HXp\n0oUuXbqUdwwhxCNIij4hxCNp27ZtpKamEhgYyIwZM3jhhRdQSjFs2DDc3d1LbTl+zT0Y0qPxfc8w\nmBs3NwfJbGIVLS9I5oc1ZMiQ8o4ghHhEVcqi78d9kWzcGwlAvw51GNatYaHTfvnzafYcj8WntiMT\nBjfDyd6Go+dvsmlvBEO7etHKp4Zu2uD/28/V22l4utry/ABfVm49xfW4NABsrCx4tk8jnmhak4Tk\ndN749A/y/37uaAt303J/wbWx0TKyRwOG9Gise33nn1dYG3IJAP8W7vi1qI2Hqx1VrP/eRXlZAXq1\nyz2D8OuhaJ5q60Fgj0bs/PMKW8IiaePjQuSNFIP8eRKS0zlxKY7m3i442dvozRdAawHvjmvHpegE\nNu+NoEeb2mTlgF+zmny+4y9Cj92gfSMXarras+WPK9jaWDC2V+66/7gvku37LtO/Uz36dapvdJtf\niEpg6fojpGRAdQcrXhveEk/3kl9Sczoyji93nOF2YoZumwT2aGSwngHt6+rG/XvjMQ5fuAOAp6st\nweM7Gszzq1/OkpMDo59sqNt+pyPjWP3jKZLTchjm70XjutX5ZMMR4pOysbPRMmGwLx5u9mz7I5Kz\nV+IZ3s3b6La/GpvEzvBr9GxXh/AzN/jpwDV86zvzXL+mONnb6HKv/uk04WduMaRLfXrmy38/hR27\nhcm/v05HxnH22l0AvGs6MH7A41y+kci3v5wBCy1ujlWIiE2hfSMXnni8ZomWYy5q166teyTDgAED\ndOMDAgIICAgor1hCiEqucePGeo9m0Gg0ODo60qlTJ2bNmoWTk1M5phNCPAo0yox7FJf0lzk3Nwe+\n2HJCV/DlKazwK1jsaDTwXJ9GepdivTrUl1Y+NXQF3/0E9WzImp0XipV3ysiWNKtXXa/gy6+mS1Xe\nHdeWKtaWBlkL8vFw4Hy04fbKy58nITmdN5fvIztbodVqaO/jwv4zt4uV937aN3Lhz3NxuuFhXesb\nFH4XohJY+PURg/cGP9euRIXf6cg4Plx33GB8XuGXfz0ttRoWT+zEN7+c0RV8efIXfsbm+epQX6yt\ntEaXdT8Ft/3V2CSCPw83Oq1GAx9O6gzA1E//0HttZIB3sQq/o+dvsmzTqUKXX1D+H0cexqtDfenZ\n2btEn1dT95spCyVdX3M501Bcktn0KlpeqPyZy7Jtun37NuvXr+fixYt89NFHpTZfaZvMj2QuGxUt\nc1m3TZXu4ezb9102GLfjz2tGpy1YRCkFm/ZE6I3btDd3uDgFH8DmvRH3n+h/vvzpDABbwox/8Y6J\nSyX6dorRrAUZK/jg7/x5TlyKIzs7t87PzlalVvABegUfGN8XxsYB7Aw3vo8K80Oo8W3266FoQH89\ns7IVJy7FGRR8oL9fjc1z096IQpd1PwW3fVHrqFRu5hOX4gxeK+z4uN/yCg4XVNi+KKn7LUcIIYQh\nV1dXXn75Zc6dM78+v0KIyqfSFX39O9UzGNe7fR3DCcm9jDI/jQaG+nvpjRvaNXfY01X/gc6FGdLV\n6/4T/c+4vrmdygf5Gb8MsqZLVTxc7YxmLcjHw/gvAEML5Gnu7YJWm3uJiVaroWOT0nkANeSe6cvP\n2L4wNg6gZzvj+6gwg7sY32ZPtc297DX/elpqNTT3dqFNw+oG0+ffr8bmObSrV6HLup+C276oddRo\ncjM393YxeK2w4+N+yys4XFBh+6Kk7rccIYQQhbOysirvCEKIR4A2ODg4uLxDFCY1NaNE09vZ2eDh\nUhVLCzhzJQEouk9fy4Y1SEhK5UpsCj61HXlnbFt86jjjWcOO6FvJPNu7ke7yuG6t63D07A0SU7Pw\ndLVlSmArzl+LJykt9x5rNlYWjO/fGL/mHvi3rMWvf14j/3WzjraQnpXbp8/WRktQLx/6+jUgNTUD\nbw8nbK0tOBUZD+QWeM/0akz/TvV0ffryZ4XcyxgbeDgSGZNEz3YeTBjcHFtrCy5FJ9KhiSvZOejl\nz1PF2pKuLWpR08WOoJ6N6NzcQ2++kNunb/az7ahTw46I6ET6POFJg9pOPN+3CRnZWVy9kUz7Ri60\nbVyDc9cSsbWx4IV+jRnctQGWFhARnchgP8NLOwFcHKvQtJ4zR8/GkJmd26dv+pg2Je7TV8O5Kg08\nHLkQFU9qerZum+T16cu/npNHtcFaq6F908eIik0k5k7u2b2Cffry5nkxOgFba0vG92tCK58auvFn\nr9wmOxtGdPdmeLcGHL8Uy70MhZ2NlteGN+fp7g3IyMwmPSOL5/o0Ntj21extaNXQlYysHF7o1wS7\nKlouRt2lWX1npo9pg5O9DVWsLfFvWYuUexnE3knj6W5exe7TV9PFzuixWxifOs56+0vl5HD7bjqQ\n26dv2ujWNPBw4Pzl29hYa6ntUpX4lEzaN3JhqL+33nLs7GxK9Hm1s7Mp9rTmqqTrW9L2rLxJZtOr\naHmh8mcu67Zp586dXLhwgcGDB5faPKVtMj+SuWxUtMxl3TZVuj59lfVaXnMhmctGRctc0rzSp8/8\nSWbTq2h5ofJnNlXbFBAQoHcjF4Dk5GTq1q3LkiVLqFu3+Dfsuh9pm8yPZC4bFS1zWbdNlfLunUII\nIYQQ5mLNmjV6wxYWFjg6OmJnZ1dOiYQQjxop+oQQQgghTMjDw6O8IwghHnFS9AkhhBBCmKns7Gxm\nzpxJZGQkGo2GOXPm4OPjU96xhBAVTKW7e6cQQgghRGWxa9cuANauXcvkyZP5+OOPTbKcLaGXeGlJ\nCFtCDZ8bLISo+CrNmb5vdp7h9yMxaC2gvrs9F2OS8W/hzrg+j+s9/Lx9IxcmDGnB6u0nCTt1Cw0Q\n0LomkTHJRMT83ZlSAyigTcPq2Fe1Ys/xWBxstXRtUYs/z9xkqL8XN+JS+enAFR6v58yZyHgsrCwY\n1aMhfs1zL+P4579CSLpnmLWeW1VmvdDB6HpcjU1iZ/g1eraro3dHywtRCWzfd5n+nerRsLYT9zKy\niL6dwoFT19l1NIan2npQw7mq7sHwNloNY3r5EH0rmV8PRfNUWw883Ox1D553sbci7V4mqVngZAeu\n1RypYmNJozrVCDl8FVdnO8Y81cjoXTXf+Pdu7iTlADCoc138W9Xm251nORkZz5Au9XFzsuWrX06T\nmWXByB4NaFjbmbCTMfg1q8mhs7Fs33eZFt7VibyRzFB/L55oWtNgGfn3Wd722rj7Ajv+vEbv9vp3\nZI29k8pvh69Rzc4av+a1cLLPvcPR0u+PcuxSvG46F0ctS172B3IfTJ63PY3dZRTg43VHOBmZQLP6\nTsTfvUdU3D1qu1Rh7j86GUxb2Py+/Pm0wTMWq9lZ0q9jPfya19LdnTVvvzvbW/Hjgdzn+fVoXZMx\nPZsYzVaYvOPaz9eN5/s30x0nx87fZGf4Nfp2qMugLt4c/CuGTXsidNs/9k6qbh+5V6+qN8/8D32v\n7mBBRqaGIV296N66ZI/ZEEIIUXJPPvkk3bp1A+D69es4OjqW+jK2hF5iyx9Xcv/9v/8P6uJd6ssR\nQpSfSnH3zryCzxgvdzsi8j2OAMDZXkN8sulW+/m+jfg+5JzRgi9PPbeqLJvxlN46Xo1NIvjzcN1w\n8HPt8HR34EJUAgu/PqIb/3pgC7797QIxcakmyZ9fXoY80z4L5XZCZqku46WBTfQKv/wFXx57G0hO\n/3s471EcsXdSeWvlAd14rYWGJS934quf/9Ir+PK4OGrp1tKTjXv/fuD5sK6Gj5fIK/iMKVj4/bgv\n0uj8jBV8+VV3sGH+P57gZnya3n7PrySFX17Bl6djE1cu30w1OE7aNKyu96D6kQHeett74YsddIVf\n/oKvoKCeDXWFn9y9s2gV7Y5iIJnLQkXLC5U/szm3TdOnT+fXX39l6dKl+Pn5FTpdVlY2lpbaEs17\n6LStZGb//b3ISqth0+KBD5xVCGF+KsWZvpBCCj7AoOADTFrwAWzaE1FkwQdw+ZZhwbYz/JrB8Pj+\nTdm+77Le+B9CI8uk4MufIU9pF3yQu73yF31bwiINpslf8AHs+PMaw7o1JOyk/r7PzlGcuBRntOAD\niLubbbA9t++7bFD0FVbwAUTF6e/cwuZXVMEHcCcpnejbKew6El3oNCFHYopd9OUv+AD2n7ltdLr8\nBR8Ybu+wkzEM88/9hXfT3ohCl7d5b4Sc7RNCiDKyaNEi3njjDUaMGMGPP/5I1apVjU4XH1/87wd5\nBXHfDp66M3wAfTt4mm1xX9l/eDAXktn0yvoHqUrRpy+gteHlgXm83A1vh+xsrzEyZekZ6u+FQ5Wi\np6nnZthY92xXx+hw/0719MYP7lKfmi7GG/vSVjCTq5NVqS9jqL+X3vAgP8PLLe0LPJOyd/vcXH7N\n9Pe91kJDc28XWno7G12Wi6PWYHsWHAZoVt+p0Ly1XfR3bmHz82/hXug8IPdMn4erncE2zq+oY7sg\nP183veGOTVyNHidtGlbXGy64vfNv06Fd9fdNfkOKeE0IIUTp+OGHH1ixYgUAtra2aDQaLCxK9+vb\noC7eDOpcFyttbrcNubRTiMpHGxwcHFzeIQpT3KfUN/d2Izn1HpExyWgtwPsxe+4kZ+Dfwp3Xnm6F\nrbUFpyJzz/y0b+TCO+M6EJeQzNWbqWjIvYROg4b45L+Xl1cWtmlYHZ86jlyJTcHBVstTbWuTkJRO\nUC8farvaEXE9keZezsQn3sPa2oKxvXzwa+5Bnw71CTkUSUaWYd68Pmp2djZ661jN3oZWDV3JyMrh\nhX5NdJdVujhWoWk9ZxKT03mhXxMa161O52aP0bKhK9ZauHIjmZ7tPOjk+xgnLuWexbHRahjXpxE1\nnKoQGZNEz3Ye+LesxdELcbnztLdCk5NDZk5un77abo7UcrWjS/PHuHE7iTruDrw2rLlBn77RfXz5\nZf8F0jJyz5YO6lyXlwb5EpeQStzddJ7u5kX3Vh6cu3oLrYWWoF4+jOjekCrWWp7v2wQnOysiohNp\n09CFjKwcgnr5GPTp8/Zw0ttn9dyq8v7LXcjKyiLi+l36PvF3nz57Wys6NHUHFK0aujK+f1Oc7G14\n4vGaXIlJ4Eb832fl8vr0+dRxxtICIqITGexneGknQEffmkREx3Mz4R7N6jthrYW7aVlG+/QVNr+W\nDWuQkJTKlQJnm6vZWTLM34tn+zahirWl3n5v7uXMhai7QMn79LXycdcd136+bowf2Fx3nDjaWnI5\n5i4DOtUlqHdTHqtehas3kgjq5YN/y9p0aOqu20f5+/TVdLHDs4Ydf565CeT26dNaWBAY0EDvLF/B\nY/l+7Oxs7j+RmSvp+pZkenMgmU2vouWFyp/ZHNsmT09P1q5dy9dff80PP/zA5MmTi7x754O2+n1h\npwAAIABJREFUTY3rVmdA5/o0rlv9Pu8qX5X9GDQXktn0yrptqhR9+vJU5tO65kIyl42Klln69BWt\nou1PkMxloaLlhcqfWdom8yeZy4ZkNj25vFMIIYQQQgghRKkx6Y1cVqxYQUhICJmZmYwaNYqAgABm\nzpzJ3bt3yc7OZvHixXh6epoyghBCCCGEEEI80kxW9B08eJCjR4/y3XffkZaWxurVq1myZAkDBgyg\nb9++HDhwgIiICCn6hBBCCCGEEMKETHZ5Z1hYGD4+PkyaNIkJEybQrVs3jhw5QmxsLM8++yzbtm2j\nffv2plq8EEIIIYQQQghMeKYvPj6e69ev89lnnxEVFcXEiROJjo7G0dGRL774gk8//ZRVq1bxz3/+\ns9B5ODtXLfEDRitaJ+yKlhckc1mpaJkrWl4hhBBCiEeFyYo+JycnvLy8sLa2xsvLCxsbG7KzswkI\nCAAgICCAjz/+uMh5lOQBo1C579pjLiRz2ahomR/Fu3cKIYQQQlQUJru8s02bNoSGhqKUIjY2lrS0\nNHr06MGePXsACA8Pp0GDBqZavBBC6OTk5DBr1iwCAwMJCgriypUreq9/8cUX9OvXj6CgIIKCgoiI\niCinpEIIIYQQpc9kZ/q6d+9OeHg4w4cPRynFrFmz8PLyYubMmaxduxZ7e3s+/PBDUy1eCCF0fvvt\nNzIyMli3bh3Hjh3j/fffZ/ny5brXT506xaJFi/D19S3HlEIIIYQQpmHSRzZMmzbNYNznn39uykUK\nIYSBw4cP06VLFwBatmzJqVOn9F4/ffo0K1eu5NatW3Tr1o2XXnqpPGIKIYQQQpiEPJxdCFHpJScn\nY29vrxvWarVkZWXphvv160dwcDBffvklhw8fZteuXeURUwghhBDCJEx6pk8IIcyBvb09KSkpuuGc\nnBwsLXObP6UU48aNw8Eh9+Yy/v7+/PXXX3Tv3r3IeZb07sIV8eY1ktn0KlpekMxCCFERSdEnhKj0\nWrduza5du+jbty/Hjh3Dx8dH91pycjL9+/fnp59+omrVqhw8eJBhw4bdd54lubtwRbsbK0jmslDR\n8kLlzyzFoRCispKiTwhR6T311FP88ccfjBw5EqUU7733Htu2bSM1NZXAwECmTJnC2LFjsba2pmPH\njvj7+5d3ZCGEEEKIUiNFnxCi0rOwsGDu3Ll647y9vXX/Hjx4MIMHDy7rWEIIIYQQZUKKPiGEEEII\nM5WZmcnbb79NdHQ0GRkZTJw4kR49epR3LCFEBSNFnxBCCCGEmdq6dStOTk4sWbKEhIQEBg8eXGpF\n3z8W7ODGnXS9ccO61qdfp/qlMn8hhPmQok8IIYQQwkz17t2bXr16Abl3G9Zqi3/X4KJMW76X24lZ\nBuM37o0EkMJPiEpGij4hhBBCCDNlZ2cH5N5p+LXXXmPy5MlFTl/cx8kYK/jybN9/hWcHNS9Z0DJU\nEe+yKpnLRkXLXJZ5pegTQgghhDBjMTExTJo0idGjRzNgwIAipy3u42Rcq1kWWvj171jXbB/NUdkf\nG2IuJLPplfXjZCweeg5CCCGEEMIkbt++zfPPP8+bb77J8OHDS22+iyd25bHqNgbjpU+fEJWTnOkT\nQgghhDBTn332GXfv3uU///kP//nPfwBYtWoVVapUeeh5r3qnd4U6MyKEeHBS9AkhhBBCmKmZM2cy\nc+bM8o4hhKjg5PJOIYQQQgghhKjEpOgTQgghhBBCiEpMij4hhBBCCCGEqMSk6BNCCCGEEEKISkyK\nPiGEEEIIIYSoxKToE0IIIYQQQohKTIo+IYQQQgghhKjEpOgTQgghhBBCiEpMij4hhBBCCCGEqMSk\n6BNCCCGEEEKISkyKPiGEEEIIIYSoxKToE0IIIYQQQohKTIo+IYQQQgghhKjEpOgTQgghhBBCiEpM\nij4hRKWXk5PDrFmzCAwMJCgoiCtXrui9HhISwrBhwwgMDGT9+vXllFIIIQp3/PhxgoKCyjuGEKKC\nsizvAEIIYWq//fYbGRkZrFu3jmPHjvH++++zfPlyADIzM1m4cCEbNmzA1taWUaNGERAQgKurazmn\nFkKIXKtWrWLr1q3Y2tqWdxQhRAVVaYq+j9cd4WRkQnnH0GNtAR2b1yT8dAypmeWdRuRnAeSUd4hK\nxqEKfDI5oLxjGHX48GG6dOkCQMuWLTl16pTutUuXLuHp6Um1atUAaNOmDeHh4fTp06dUlv3jvkg2\n7o0EoLZLFaLi7uHfwp1xfR4H/m67rCzg+f5NeKJpTYL/bz9Xb6dRw8mKBrVdOH/tNrcTs7C3geT0\n3PlaaSGoVyPCz8RyMjIBHw8HXKpV4U5SOkP9G/BXZBw/HbiCu1PuMv183Xi+fzMAPvjuMH9dSdRl\n1ALZgIUGpo9pTcPaTgbrcTU2iZ3h1+jZrg6e7g668ReiEti+7zL9O9WjYW0n7mVkEX07hVOXbvPj\nvit413bk2T5NWfPLGf66kshjztbcy1DUcq3K2auJPNXWg26t6rDih5NcvpkCgI0FpOeAVgP9O9Xl\ndGQ8VWwscXe2IezEDfp3qke/TvUNMi5dd5hf/4wCoFZ1G+a/2JktoZf46cAV+naoi6e7A1/9cprM\nLAtG9mhAw9rOhJ2Mwa9ZTQ6djWX7vsv0fsITaystYSdvMNzfi1Y+NQyW88a/d3MnKQcbKwh+rgNh\nJ6LZ8ec1erevw7BuDfWmLbh9AJZ+f5Rjl+J12x0gqGdDureuw+nIOL7eeQ4LCw2jn/Th8fouBss/\nHRnHZ5uPk5IBdtaQkgH2NlreGN1ab9/kHX95yy+4zfJy5OdbrxovD21BFWtLg/3+7c6znI9OwsfD\ngRlB7QxyFeVCVAIrt54kISmT/p3q0uuJukTfTsFKa8H6XRe4HHOXYf7edG9dh4N/xbBpTwRD/b14\nomlNYu+k6vaTe/WqevN9e0UYN+IzqKIFC0stw/y96N66TomyVQSenp4sW7aMadOmldo8E5LT+fKX\nM4T/dbPSbjchxN80SilV3iEKc+tWUrGmM8eCT4hHUXELPzc3h/tOU5reeecdevbsib+/PwDdunXj\nt99+w9LSkkOHDvH111/zr3/9C4BPPvmEWrVq8fTTTxc5z+K0T/kLvoL8W7hz5266QdvlbK8hPtk0\nzbKfrxt3kjL0Cj5j3nqmNZ1a1dGt49XYJII/D9e9HvxcOzzdHbgQlcDCr4/oxr8e2IJvf7tATFyq\nSfLnN6xrfb0iZvX2k4SduqU3TVUrHvoHt1eH+uoVfnkFX2H6dfi78Cu4fd56pjU/7480KLTy9Ghd\nk9+PxOiNez2whV7hdzoyjg/XHS90+Xn7BgyPv/zbzFjBl8fWWsuHr3TmZnya3n7PrySFX8HtAGBv\na0lyWpbBtH6+bnr7cWSAN2tDLumGF77YQVf45RV8BeUV0Hnc3ByK/X2irNumkoiKimLq1Kn3vQS9\nOOuakJzO1E//0BtXcLuZq5LsT3MhmctGRctc1m1TpTjTJwWfEOYh6V55JzDO3t6elJQU3XBOTg6W\nlpZGX0tJScHB4f6Nq7NzVSwttUVOs33/lUJf23M81uh4UxV8gEFRVJidh67RqVUd3R+Zr387r/f6\n3pMxTPGtxb9/OKk3/scDV8qk4IPcbfvsoOa6YWPrVhpXWGzdd5menb11w0UVfAA7/rzGhKdbAxhs\nn52HrhVaaAGEFCj4IHebdmtf7+/h744YTJNf3r4Bw+Mv/zYrKkdaRjapWYq9Jw3z5DkfnVTsLyEF\ntwNgtOADw/249Y/LesNHLt1mbKPcs+TGCj6ALWGXGdGrqd44cy7mSltx2qajEXEG44xtN3NVEfen\nZC4bFS1zWeatFEVfs/pOUvgJYQYcqpR3AuNat27Nrl276Nu3L8eOHcPHx0f3mre3N1euXCEhIYGq\nVaty6NAhXnjhhfvOMz7+/sVN/451K+SZvp5tc3/tz/sFsmuzmoQcitK93rVZTW7dSqJn2zocPvv3\nl/R+HeqSmJxRJoVf/4519X4hLXiGCErnTN/ATvX0llPdwaLIwq93+7/PkBbcPj3b1iE7M6vQgivA\nyJm+fh3017Nfh7qcvVL437u8fQOGx1/+bdbS27nIM31VLTUG+z0/H4/i/0JdcDtA8c/0DexcT+9M\nX2tvV91yH3O2Nlr4DfLT32eV5UxfcRWnbapfw95gXMHtZq4q2tkckMxlpaJlLuu2SRscHBz80HMx\nkdRU47/iFdTRtyYR0fHcTDCv0wzWFuDXoia34pLJlA5kZsUCMNvrmiuokvTps7OzMXEafV5eXoSG\nhrJixQpCQ0MJDg7mjz/+4NixYzRv3hwPDw9mzpzJhg0bGDZsGB07drzvPIvTPvnUccbSAs7870t6\nbZcq3E3L0vXpy992WVnAPwY04fl+zTh69gaJqVnUcLKiRYMapKXfIzU9B3sbyPhfJzArLTzbpxFZ\nWdncTLiHj4cDPnWqYVfFkhcHPo6LgzUR1xOpVT13mXl9+jo1q8WFa3e4lZiuy6kl9/NgoYEZz+T2\n6bOzs9GtYzV7G1o1dCUjK4cX+jXRXT7o4liFpvWcSUxO54V+TWhctzqdmz1Gy4auVLe35lJUIg3r\nOPLGyFbE3E7iVmI6jzlbY6m1wKuWA3F30+nZzoPx/R/n0rV4ElJyKzQbC8hWuX36BnauS3a2opar\nHc28nLh+K4XBfvUN+qe18nEnNSOTiOi7QG6fvg9e9QeVQ8T1RAZ0qkvPdnU4d/UWWgstQb18GNG9\nIVWstTzftwlOdlZERCfSv2Ndmnu7EJ+UznN9Ghn06evZvh6hx6+QlqGwsYL54ztQxUpDxPW79H1C\nv09fwe3TsLYTTzxekysxCdyIv6fb7pB7ad1AP28aeDgScT0RRzsrXhr4uEGfvhrOVWng4ciJC7Fk\nZuf26cvMzu3T9/bYtnp9+vKOv4joRINtlj9Hfr71qjFzXDuqWFsa7Pfrt5KIS8oocZ++vO1w5vJt\nMjJyGNi5LhMHN6NlQ1d6tK7NzYRUUtIyGNmjAUP9G/JY9SpcvZFEUC8f/FvWpkNTd91+yt+nr0db\nTw6ejib5XjZVtGBtrWVkjwYGlyjmP5bvp6zbppK4e/cuv/zyy30vPS/OulaxtsS/ZS3uZWZxKz7N\n6HYzVyXZn+ZCMpeNipa5rNumStGnL09lrvDNhWQuGxUtc0nzVoZf00u6vhVpf4JkLgsVLS9U/szS\nNpk/yVw2JLPplXXbZNLn9K1YsYLAwECGDh3K999/rxu/bds2AgMDTbloIYQQQgghhBCYsE/fwYMH\nOXr0KN999x1paWmsXr0agL/++osNGzZgxicYhRBCCCGEEKLSMNmZvrCwMHx8fJg0aRITJkygW7du\nxMfH89FHH/H222+barFCCCGEEEIIIfIx2Zm++Ph4rl+/zmeffUZUVBQTJkzA29ubt956Cxub4nVG\nLM5thwuqaNfjV7S8IJnLSkXLXNHyCiGEEEI8KkxW9Dk5OeHl5YW1tTVeXl7cuHEDrVZLcHAw6enp\nXLx4kQULFvDOO+8UOo/i3HY4v8rcgdNcSOayUdEyP4o3chFCCCGEqChMdvfOXbt28dVXX7F69Wpu\n3rzJM888w44dO9BqtURFRTF16lTWr19vikULIYQQQgghhPgfk53p6969O+Hh4QwfPhylFLNmzUKr\nLdmlmkIIIYQQQgghHo5ZP6dPCCGEEEIIIcTDMelz+oQQQgghhBBClC8p+oQQQgghhBCiEpOiTwgh\nhBBCCCEqMSn6hBBCCCGEEKISM9ndO8tKTk4OwcHBnDt3Dmtra+bPn0/dunXLLU9mZiZvv/020dHR\nZGRkMHHiRBo0aMCMGTPQaDQ0bNiQ2bNnY2Fhwfr161m7di2WlpZMnDiR7t27c+/ePd58803i4uKw\ns7Nj0aJFVK9evUyyx8XFMXToUFavXo2lpaXZZ16xYgUhISFkZmYyatQo2rdvb9aZMzMzmTFjBtHR\n0VhYWDBv3jyz3s7Hjx/ngw8+YM2aNVy5cuWhcx47dowFCxag1Wrx8/PjlVdeMVl2cyHtU+mQtkna\npvykbXp40jaVHmmfpH3KY/Ztk6rgfvnlFzV9+nSllFJHjx5VEyZMKNc8GzZsUPPnz1dKKRUfH6/8\n/f3VSy+9pA4cOKCUUurdd99VO3fuVDdv3lT9+/dX6enp6u7du7p/r169Wi1dulQppdT27dvVvHnz\nyiR3RkaGevnll1XPnj3VxYsXzT7zgQMH1EsvvaSys7NVcnKyWrp0qdln/vXXX9Vrr72mlFIqLCxM\nvfLKK2abeeXKlap///7q6aefVkqpUsk5cOBAdeXKFZWTk6PGjx+vTp8+bbL85kLap4cnbZO0TflJ\n21Q6pG0qHdI+SfuUpyK0TRX+8s7Dhw/TpUsXAFq2bMmpU6fKNU/v3r355z//CYBSCq1Wy+nTp2nf\nvj0AXbt2Zd++fZw4cYJWrVphbW2Ng4MDnp6enD17Vm99unbtyv79+8sk96JFixg5ciQ1atQAMPvM\nYWFh+Pj4MGnSJCZMmEC3bt3MPnP9+vXJzs4mJyeH5ORkLC0tzTazp6cny5Yt0w0/bM7k5GQyMjLw\n9PREo9Hg5+fHvn37TJbfXEj79PCkbZK2KT9pm0qHtE2lQ9onaZ/yVIS2qcIXfcnJydjb2+uGtVot\nWVlZ5ZbHzs4Oe3t7kpOTee2115g8eTJKKTQaje71pKQkkpOTcXBw0HtfcnKy3vi8aU1t06ZNVK9e\nXXfAAWafOT4+nlOnTvHJJ58wZ84c3njjDbPPXLVqVaKjo+nTpw/vvvsuQUFBZpu5V69eWFr+ffX3\nw+Ys+Dktq21e3qR9ejjSNknbVJC0TaVD2qaHJ+2TtE/5VYS2qcL36bO3tyclJUU3nJOTo7fRy0NM\nTAyTJk1i9OjRDBgwgCVLluheS0lJwdHR0SB3SkoKDg4OeuPzpjW1jRs3otFo2L9/P2fOnGH69Onc\nuXPHrDM7OTnh5eWFtbU1Xl5e2NjYcOPGDbPO/MUXX+Dn58frr79OTEwM48aNIzMz06wz57Gw+Pv3\noQfJaWzassxfXqR9ejjSNknbdD/SNj0YaZsenrRP0j4VxRzbpgp/pq9169bs3bsXgGPHjuHj41Ou\neW7fvs3zzz/Pm2++yfDhwwFo2rQpBw8eBGDv3r20bduW5s2bc/jwYdLT00lKSuLSpUv4+PjQunVr\n9uzZo5u2TZs2Js/8zTff8PXXX7NmzRqaNGnCokWL6Nq1q1lnbtOmDaGhoSiliI2NJS0tjY4dO5p1\nZkdHR90vOdWqVSMrK8vsj408D5vT3t4eKysrrl69ilKKsLAw2rZtW2b5y4u0Tw9H2iZpm+5H2qYH\nI23Tw5P2Sdqnophj26RRSqmHXrNylHcHqvPnz6OU4r333sPb27vc8syfP5+ff/4ZLy8v3bh33nmH\n+fPnk5mZiZeXF/Pnz0er1bJ+/XrWrVuHUoqXXnqJXr16kZaWxvTp07l16xZWVlZ8+OGHuLm5lVn+\noKAggoODsbCw4N133zXrzIsXL+bgwYMopZgyZQq1a9c268wpKSm8/fbb3Lp1i8zMTMaOHYuvr6/Z\nZo6KimLq1KmsX7+eyMjIh8557Ngx3nvvPbKzs/Hz82PKlCkmy24upH0qPdI2mY60TdI2Sdv0cKR9\nMp2K1D6Ze9tU4Ys+IYQQQgghhBCFq/CXdwohhBBCCCGEKJwUfUIIIYQQQghRiUnRJ4QQQgghhBCV\nmBR9QgghhBBCCFGJSdEnhBBCCCGEEJVYhX84uzA/WVlZrFq1iq1bt6LRaMjOzmbIkCG89NJLaDSa\n8o4nhHiESfskhDBH0jYJU5OiT5S6OXPmcPv2bdatW4ejoyPJyclMmjQJBwcHxowZU97xhBCPMGmf\nhBDmSNomYWrynD5Rqm7cuEGvXr3Yu3cv1apV042/dOkSFy9epH79+sybN4/U1FTu3LnDc889x9ix\nY1m2bBnXr1/n3LlzxMXFMXnyZA4cOMDx48dp3LgxH3/8MRqNhpUrV/Lzzz/rHlT55ptvyi9gQohi\nkfZJCGGOpG0SZUHO9IlSdeLECby9vfUaLQBvb2+8vb1ZsGABL7/8Mh07duTatWsMHDiQsWPHAnD+\n/HnWr1/PkSNHGDduHNu2baNevXr07duXc+fOcfPmTU6dOsWGDRvQaDS8+eabbN26lUGDBpXHqgoh\nKhhpn4QQ5kjaJlEWpOgTpS7/r0c7duxg+fLl5OTkYG1tzfr16wkNDWXFihWcO3eO1NRU3bSdO3fG\n0tKSWrVq4ebmRoMGDQBwd3cnMTGR/fv3c+LECYYOHQrAvXv3qFWrVtmunBCiQpP2SQhhjqRtEqYm\nd+8sR40aNWLAgAEMGjRI77+oqKjyjlaoVq1aERUVxcmTJ3nttdcMXn/88ce5dOkSycnJnDhxgn37\n9rFlyxaWL19OfHw8kydP5tdff8XS0pK7d+8CMGPGDI4cOYKVlZVuPpaWhr9HZGdnM27cOLZs2cKW\nLVtwd3cnMDAQgH/84x9cvHix1Nd35cqVuv3SqlUrAgICdMNXr14t1jzCwsKK/EXtzp07jB8/nr59\n+9K/f3+OHDlSWvGFeGCNGjXizp07euN27NhBUFCQSZY3c+ZMTp069cDv/+9//8uMGTMAeOedd9i3\nb5/BNPnbp5kzZ1K7dm2j7dOBAwfo2rUrkNvmASVqn6ZMmUKPHj2YMGECv//+O/Pnz3/g9SrM3bt3\ndW3RU089RfPmzXXDixYtKtY8MjIyeO6559ixY0eh02zYsIE+ffrQs2dPZs+eTWZmZmmtgiihqKgo\n3fFY3k6cOMGsWbPKO0apKqzdyG/ZsmXMnTvX6Gvff/8933zzDQDfffcdK1euLPay87dNAL179zba\nNnl7ezNlyhS995b0u9P333/PhAkTip0N4Nq1a7z66qtA6RyHSUlJujOVJfGw7emnn37Kb7/99sDv\nLy5z/e4oZ/rK2Zdffkn16tXLO0aJNWvWjKVLlxqM9/DwYODAgUyfPp1OnToRGxtLdnY2u3fvxsLC\ngj/++IOff/4Zd3d3nJ2dCQ0NpbjdSjt06MDSpUsZMWIENjY2HDx4kF27dhEUFMSqVatKexUBePHF\nF3nxxRcBCAoKYsyYMfTu3btY77137x7Lly/nm2++4bHHHit0ujlz5tC2bVsmTJjAmTNnePHFF9m5\ncye2tralsg5CVAT79u3T/YjzsBYsWGB0fP726fTp0wQGBhbaPm3atAnggdqn48ePs23bNho0aMDQ\noUPp0aNHqaxXfo6OjmzZsgWAgwcPMm/ePN1wcRw9epQ5c+YQERFR6HY/f/48y5YtY/PmzTg5OfHG\nG2/wxRdf8I9//KNU1kFUXBcvXiQ2Nra8Y5SqwtqN4jp8+DANGzYEYNSoUSV6b/62aeHChTg6Ot63\nbcrOzi7WvAt+d5o0aRJDhgzRnfkrjuvXrxMZGVmidSpKYmIiJ0+eLPH7evTo8VDt6cGDB3VnQk3J\nXL87StFnpg4ePMjHH39MnTp1uHDhAhkZGcyaNYsOHTqQkZHBBx98QHh4ONnZ2TRt2pSZM2dib29P\nQEAAzZs359y5c0ydOhV3d3eCg4PJzMzE09OT69evM2PGDLZt20b16tWZOnUqAFu3buWXX37h3//+\nt16OQ4cOMW/ePDQaDc2aNSMnJ0eXb968eWzfvp1Dhw7x/vvv61578cUXOXPmDO+99x45OTm0b9+e\nVq1aYWlpiZOTEz169KBmzZrcuXMHDw8PUlJSiImJ4fvvv+fnn3+mRYsWui9ajRo10v2iFBAQwMSJ\nExk2bBi3bt0CYN26dTz55JOMGTOGTz75hGbNmrFu3TrWrFmDhYUFrq6uvPvuu9SvX58ZM2Zgb2/P\nuXPnuHHjBl5eXnz00UfY2dk98H4aOXIkaWlpeuNat27N7NmzCQsLIy0tjffee89ogQy5t2jevXs3\ns2fPBqBJkybUq1eP0NBQevbs+cC5hDC1ZcuWceHCBW7fvk1cXByNGzdmwYIF2Nvb8+2337J27Vqs\nrKywsbFh7ty5NGjQgNjYWObOnUtMTAyZmZn069ePCRMm8PHHH3Pz5k3eeOMNFi9eTGxsLMuXL0ej\n0aDVapk2bRrt2rXTW35mZibz589n3759uLi44OLigoODA/D3H9knn3ySefPm6a4kqF27NgsWLOCV\nV14hJiaG0aNH4+rqSkZGBj4+PqSmpjJw4EAyMjJo3Lgx7u7uJCQkEBISws2bN9mzZ4/uD/myZcuI\nj4/X5Tl9+jRWVlYMHDiQmJgYLC0tuXz5Mps2beKXX35hxYoV3Lhxg+DgYKKjo1FKMXjwYMaPH09U\nVBTPPvss/v7+HD9+nMTERKZMmULfvn0feP/88MMPfP755wbjFy9eTKNGjVizZg2TJ0/mv//9b6Hz\n+P333wkICND9MBkYGMj8+fOl6DNDSUlJzJkzh7Nnz6LRaOjSpQtTp05l8eLF2NraMmXKFG7dukWX\nLl34/PPP6dixI1u3buX333/nk08+4fvvv+e7774jJycHJycn3n33Xby9vQ3+vr/00ks0b96cpUuX\nkpSUxFtvvcXChQv1shT2Ob/fcb58+XJ27txJTk4OHh4ezJ49G3d3d4KCgqhWrRoRERGMGjWKrl27\n8vbbb5OYmIibmxtKKQYOHEhsbCwXL17kww8/BHKLsHnz5vHDDz/o5du5c6fR9iX/l/NNmzaxcuVK\nqlSpQocOHfjqq6/466+/AIiIiCAoKIhbt27h6urKRx99xPHjxwkJCeGPP/6gSpUq3Llzh/j4eGbN\nmkVAQABDhgxh//79xMTE0KdPH6ZNmwbknhHasGEDdnZ2tGnThj///JOxY8eSkpJCbGwstra2uLm5\n8dRTTzF69GgcHR2pX78+Hh4eREVFcerUKU6cOMGvv/6Kvb09mZmZJCUl4e/vrytAAwICmDNnDv36\n9cPGxgZbW1vWrFnDF198UeT3x6eeegrILS5nzpxJbGwsL7zwAnPmzCE7O5tZs2Zx8uTNFH8IAAAg\nAElEQVRJ7t69y7Rp0+jVq1eR+zG/t956i3v37jFo0CA2bdpEixYt6NGjB2fPnuWDDz7g3LlzrFu3\njszMTBITE/nHP/7B6NGj9drTpKQkFixYwPnz58nMzKRjx45MmzYNS0tLjh8/zvz580lLS8PKyopp\n06YRERHBqVOnWLx4MVqtlg4dOhj9zFhaWuLr66vLM2DAAMLCwli7di2QWwCPGDGCkJAQrK2tH+jz\nWm7fHZUoNz4+Pqp///5q4MCBuv9efvllpZRSBw4cUE2aNFF//fWXUkqp//73v2rMmDFKKaWWLVum\n3n//fZWTk6OUUurDDz9Us2fPVkop1b17d/Xpp58qpZTKzMxUXbt2Vbt371ZKKbV//37VqFEjdeDA\nAfXXX3+pzp07q8zMTKWUUqNHj1Z79+7Vy5eenq46deqk9u3bp5RSatu2bcrHx0ddu3ZNHThwQPXr\n108ppdTYsWPV9u3blVJKnTlzRgUHByullNq4caN68cUXdevTuHFjFRUVpRvOe//06dPVkCFDVEpK\nikpPT1fPPPOM+uabb3TbKC4uTm+b5Q3n/3f37t3ViRMn1L59+9STTz6pG79x40bVp08flZOTo6ZP\nn64CAwNVenq6ysjIUIMHD1YbNmwo9v565pln1M8//1zs6fPkX9eCbt68qXx9ffXGvf766+rLL78s\n8XKEKE0FP3tKKfXzzz+rZ555Riml1NKlS1XXrl3VrVu3VHZ2tpo6dap6//33VVZWlnr88cdVbGys\nUkqpzZs3q7Vr1yqllAoKClK///67Ukqpe/fuqaCgIPXjjz8qpf7+DCulVI8ePdTRo0eVUkqFhoaq\nZcuWGeT74osv1NixY1V6erpKSUlRQ4YMUdOnT1dK/f1ZDQ8PV71799a1lYsXL1aHDx82WN4zzzyj\n3nrrLd28895/7do15ePjo8u4d+9e5e/vr9LT09XSpUvVnDlzdO/JP5z/3/nbwTFjxqjVq1crpZS6\ne/euGjBggNq+fbtuOSEhIUoppXbs2KG6detWzD1VdBtzP0W1a++++65asWKFbvjy5cuqXbt2D7Qc\n8fCuXbumWrZsafS1adOmqXnz5qmcnByVnp6unn/+ebVixQr1559/qiFDhiilco/Fzp07qw8//FAp\npdRrr72mfvzxR3Xw4EE1evRolZqaqpTK/cz16dNHKVW8v+8FFfY5L+o437x5s5o8ebLuO8natWvV\n+PHjlVKGn88RI0boviNcvHhRtWjRQm3cuFHdvn1btW7dWsXHxyullHrzzTfVd999Z5CvsPYl77Nw\n4cIF1bFjRxUTE6OUyv3O5ePjo5TK/WwHBATo2saJEyfqvnNNnz5d/d///Z9uurw2oHv37ur9999X\nSil148YN1axZM3X16lW1d+9e1atXL5WYmKhycnLUW2+9pbp3717kds+vqO8706ZN02W5ePGi6tat\nm8rOzi7298eC8rcxeftxx44dSimldu7cqXr06HHf/ZhfwWPZx8dHbd68WSmlVHJyshoxYoS6c+eO\nUkqpo0eP6qbNf9zNmDFDffXVV0oppbKystQbb7yhVq5cqTIyMlTnzp3Vrl27lFJKnTx5UvXv319l\nZ2frtXeFfWYK5klPT1cdO3ZUFy5cUEop9a9//Ut98MEHRreTMeb03VHO9JWzoi7vrFWrFk2aNAGg\nadOmbN68GYDdu3eTlJSku/Y8MzMTFxcX3fvatm0L5F6aA+Dv7w/knuLP++WnSZMm1K5dm927d1O/\nfn1u3ryJn5+f3vLPnz+PpaUlHTt2BKB///5Gr+Hv06cPc+fOJSQkhE6dOunOHhZUs2ZNPDw8jL42\naNAgqlatCsDAgQPZs2cPo0ePNjptUUJDQ+nbt69umw4dOpQFCxbo+kl26dJF98uMj48PiYmJJV5G\nfkX9WlMceb+eFqTVah8qlxAPy9jtvHNycrCw+LsreO/evXF1dQVg+PDhvPfee0yfPp3evXszcuRI\nunXrRufOnRkwYACpqamEh4eTmJjIJ598AkBqaipnz541OKPVr18/XnnlFfz9/encubPRM0v79++n\nf//+WFtbY21tzYABAzh37pzeND4+Pmi1Wp5++mn8/Pzo1asXzZs3N7q+ee1mQY6Ojrp8Xbp0QSlF\nREREYZutUKmpqRw5coTVq1cD4ODgwNChQ9m7dy8tWrTAyspK11Y3bdqUhISEEi8jv/ud6SsOZeTS\n1vz7X5iPvXv38t1336HRaLC2tmbkyJF8+eWXjB8/ntjYWOLi4ggNDWXixIls2rSJV155hfDwcN57\n7z3+/e9/c+XKFUaOHKmbX2JiIgkJCcX++56nqM958+bNCz3Od+3axcmTJxk2bBiQ29bk/9ua9/lM\nTEzkxIkTfP3110Du3S07dOgAgIuLC926dWPLli0MHjyYsLAwo3+L79e+hIWF0blzZ92ldc888wzL\nli3Tvd65c2fdd4zGjRsb9H02Ju+SRHd3d1xcXEhMTGTPnj307t0bR0dHAMaMGcOBAweA4n2vKur7\nztNPP82cOXN44YUX2LhxI0OHDsXCwqLY3x/vx8rKSndmr3HjxsTFxQH3349FyVu2nZ0dn332GXv2\n7OHy5cucPXtW78Y1eXbv3s3JkyfZsGEDkHtZJOR+d7WwsKBbt24A+Pr6sm3bNoP3F/aZybuaIy+P\ntbU1Tz/9NOvXr2f69Ols3rxZd/w9qPL67ihFnxmrUqWK7t8ajUb3BzgnJ4e3335b13CmpKSQnp6u\nmzaveNJqtQZ/tPMfEGPGjGHjxo3Uq1ePESNGGHzJy7/MPMY6CY8cOZLu3bvzxx9/EBoayqeffsrW\nrVsNpsvLZUzBA9XYcjIyMgp9fx5jX1KUUmRlZQGFb9MHlXe6/0HlNbaJiYm6WzXHxsYaXAohRFlz\ndnYmISFB70epuLg4nJycdMP5P7f5C8IPPviA8+fPs2/fPlatWsWGDRtYsmQJSinWrl2r63Nw584d\nbGxsDJY9ZcoUhg8fTlhYmO4yq02bNhVZcBj7Y5fX7+3IkSMcOHCAyZMnM3bsWJ599lmDaQtrnwou\nUymFlZWVQftxvxuc5OTkGLQ3OTk5urbJyspKt6zSeH7W4MGDGTx48EPNo2bNmty8eVM3HBsbW2Qf\nE1F+Cn4JzDu2LCws6N69O7t37+b48eMsWrSIFStWsGPHDlq2bImdnR05OTkMGjSIN998U/femzdv\nUq1atWL/fc+/3MI+5/Hx8YUe5zk5OYwfP173Y29GRobej7L5v9f8P3t3HxdVmf+P/zU3DOAwqBja\nlouJwmq5pFCgiShWkruaeBMJLWqmJRkFmUGKYN5jSoYueZOun0BASi3LvpuFLiSZa6ZZrGayriXe\nEWEyKDPcnN8f/pjkdmZgZs6Z4fV8PHw8mOucObyuIwznfc51rgM0/lvf9Lhm8eLFUCqVGDNmTIu3\nb7T2+XL79lrbPtD4+MTU44jbP+ca3qNUKlv9Pq3t94Yh7E33we1ttbW1eOCBB1BbW4uTJ0/i448/\nNhyrmHr8aMztk8eY8//YlobvffnyZTz55JOIiIhAQEAAHnvsMRw8eLDZ+vX19XjrrbfQr18/ALcm\nt5LJZCgtLW32GXrmzBl4e3s3e3/T1w2fx7fnAW4NbX/iiScQGBgIHx8f9O7d26Q+tUasY0eesrND\nwcHB2LFjB/R6Perr67Fo0SKkpaU1W69fv35QqVQoLCwEcGu2rTNnzhh+GcLCwnDq1Cns37/fcFbm\ndr6+vhAEAQUFBQBu3d/R0i/v1KlTcerUKUyaNAlLly7F9evX8dtvv0GhUDT6BWrLvn37oNfrodPp\nsHv3bsPMeR4eHoabfT/77LNG72lp+8HBwfjkk08MZ9527dqFbt26oU+fPiblsDWlUolRo0Zh586d\nAIDTp0+jpKQEQUFBIiejzi4kJASZmZmGP4y//fYb9uzZYzhYAG59JlRWVqK+vh55eXkIDQ3Fr7/+\nipEjR6Jbt26YMWMG4uLi8MMPP8DNzQ2DBw82XH26fv06IiMjkZ+fD+D33+fa2lqMHj0aN27cQGRk\nJFJSUlBSUtLsd33EiBH44IMPoNPpoNPp8MknnzTrw8GDBzFjxgwMGTIEsbGxCA8Px+nTpxt9P2Ou\nXbtmOOA4cOAAnJ2d0adPH3Tv3h3FxcUQBAE3btzAoUOHDO9padtubm64//77DbP7VVZW4oMPPsBD\nDz1kNINYRo8ejQMHDqC8vByCIBjuoSbpaTguEAQBer0eeXl5hp+tRx99FO+88w58fX2hUqkwdOhQ\npKWlGa7UDB8+HPv27TMU+Dk5OZg+fToA8/++G/s9byv/+++/b5i98q233jLc99Z0+/7+/oYi7eef\nf8bhw4cNxzX+/v6Qy+XYunVri5OpmPL5EhwcjMOHDxsmqnnvvffazN7AnGMe4NYorP3796OyshIA\nDFesgNb3++2MHe888cQTWLp0Kf70pz8ZHtFg6vFjS30zZeZeU/8flUol6urqWixcv//+e3h4eOD5\n55/HiBEjDJ+/TSeuCQ4Oxvbt2w0/8zExMcjKyoK3tzdkMhmKiooA3Lrfevr06aivr2/0f9TW70xT\nd911FwYPHowVK1aYPUmPNbT32JFX+kQ2ffr0ZmeSX3755UZXpJp6/vnnkZqaiokTJ6Kurg4DBw40\nTFV+O6VSifXr1yMlJQVpaWm45557cMcddxi2rVKpEBYWhl9++aXFIaZOTk74+9//jsWLFyMtLQ0D\nBw5sNAygwSuvvIIVK1Zg3bp1kMvleOGFF9C7d2/U19dj3bp1mDt3rtGpeXv37o3IyEjcuHEDjz76\nKCZOnAjg1jTuS5Ysgbu7Ox566CF4enoa3tNwY3NGRoahbfjw4ZgxY4bhF9zDwwObNm0yOiSpYRjK\nSy+91OZ6ljJ79mxMnToVDz/8MFJSUpCUlIRx48ZBJpNh9erVjc7mEYlh4cKFWLVqFcaNG2c4Az1h\nwgTD7yYA3HHHHZg9ezYqKirw4IMPYs6cOXBxcUFMTAxmzJgBFxcXKBQKwxTba9aswdKlSzF+/Hjo\n9XqMGzcOjz/+OADgkUceQXx8PJYtW4YFCxbglVdegVKphEwmw4oVK5rdMD916lT89NNPGDduXKsn\ndkJCQlBYWIhx48ahS5cu6Nq1K5YuXdrs+7WlR48e2L9/P9atWwdXV1esX78eSqUSjz/+uOGm+V69\nemHIkCGGA5hhw4YhNjYWTk5OuO+++wzbWrNmDZYsWYLdu3dDr9dj/PjxmDRpEkpLS1v9/leuXMGz\nzz6LzZs322QEQH5+PnJzc7FlyxYMGDAAc+fOxfTp01FTU4P777+fk7iI7MaNG82my8/NzUVSUhKW\nLVuG8ePHo6amBiNGjDBMyz9s2DBcuXLFcLDaUCyMHj0awK0TKLNnz8bMmTMhk8ng5uaGDRs2QCaT\nmfT3vekEcK39nrf1OKonnngCV65cMYw6+sMf/oBVq1a1uG5qaioWLlyI7Oxs9OrVC7179250zDRp\n0iR88sknLQ5jViqVRj9f+vbti9deew3PPPMMVCoVBg4caNJs2iEhIYbPF1MMGzYMERERePLJJ+Hi\n4gIfHx/D92ltv9/O2PFOeHg40tLSGhV1ph4/NuXj4wOFQoEpU6bgzTffbHU9U/8fPT09ce+992Ls\n2LHIyclp1q/3338fjz32GFxdXeHn5wcPDw+cP3++0XoLFy7E8uXLDT/zDz30EGbNmgUnJyesX78e\nK1aswOrVqw2vVSoVQkNDkZqaipqamjZ/Z1rSUIDffuLT7o4dzbqrkOzOqlWrhLKyMkEQBOHixYvC\ngw8+KPz222+CIAhCVVWVEB4eLpw4cULMiJJw7tw5YenSpWLHILIbTScyIet55ZVXDJMaEHV2GRkZ\nwtmzZwVBuDUh0qhRowyTbNTU1AjPPvusYfKl9vjpp5+E9evXC3V1dYIgCMKnn34qTJkypePBmzh5\n8mSjiTe2bdsmvPTSSxb/Po7k//7v/0TZR3V1dUJycnKjia0Ewf6OHXmlz8HdfffdmDFjhmHs+LJl\ny+Du7o4vvvgC8+bNw+TJk3H//feLHVN0586d4xlsIpKcmzdvIjg4GN27dxc7CpEk3HPPPYiPj4dc\nLkddXR1mz56N/v374+zZs4ZHOpj6TLSW3Hnnnbh69SrGjx8PhUIBjUaDFStWWLAHt/Tt2xdbtmxB\nXl6e4aqYOVcKO5u1a9diz549Nt9HWq0WoaGh8PPzQ0JCQqNl9nbsKBOEDs5kQURERERERJLFiVyI\niIiIiIgcGIs+IiIiIiIiB8aij4iIiIiIyIFJeiKXsrJKw9fdu3dBRcUNEdNYHvskfY7WH0AaffL0\ntP9HUtz++WSMFPZ5U1LMBEgzFzOZToq5zMnEzybpY2bbYGbrs/Vnk91c6VMqFWJHsDj2SfocrT+A\nY/ZJ6qS4z6WYCZBmLmYynRRzSTGTVNjjvmFm22Bm67N1Xrsp+oiIiIiIiMh8LPqIiIiIiIgcmMn3\n9NXU1CAxMRGlpaWQy+VYunQplEolEhMTIZPJ4OPjg5SUFMjlcuTl5SE3NxdKpRIxMTEIDQ1FdXU1\n5s+fj/LycqjVaqSmpsLDw8OafSMiIiIiIur0TL7SV1BQgNraWuTm5mLu3LlYt24dVq5cibi4OGRn\nZ0MQBOTn56OsrAyZmZnIzc3F1q1bkZaWBr1ej5ycHPj6+iI7Oxvh4eHIyMiwZr+IiIiIiIgIZlzp\n69u3L+rq6lBfXw+tVgulUokTJ04gMDAQABASEoKioiLI5XIMGTIEKpUKKpUKXl5eOH36NI4dO4ZZ\ns2YZ1mXRR0SWwpEIRERERK0zuejr0qULSktLMXbsWFRUVGDjxo04evQoZDIZAECtVqOyshJarRYa\nze/TiqrVami12kbtDesa0717l0Yz2zjCVMpNsU/S52j9ARyvT7ePRCgqKsK6detQU1ODuLg4BAUF\nITk5Gfn5+Rg8eDAyMzOxa9cu6HQ6REVFYfjw4YaRCLGxsdi3bx8yMjKQlJQkdreIiIjIzsWnH8Bv\nrTyZoWc3J6yaM8ImOUwu+rZv347g4GDMmzcPly5dwvTp01FTU2NYXlVVBXd3d7i5uaGqqqpRu0aj\nadTesK4xtz+7wtNTY9azZ+wB+yR9jtYfQBp9snTRyZEIREREJDVtFXwAcPVaDRI3fmGTws/kos/d\n3R1OTk4AgK5du6K2thb33nsvjhw5gqCgIBQWFmLo0KHw8/PDunXroNPpoNfrUVJSAl9fX/j7+6Og\noAB+fn4oLCxEQECA1TpFRJ2LFEYiGCPFq6tSzARIMxczmU6KuaSYiYgc25KtX7VZ8DW4eq3G+EoW\nYHLRN2PGDCxYsABRUVGoqalBfHw8Bg0ahEWLFiEtLQ3e3t4ICwuDQqFAdHQ0oqKiIAgC4uPj4ezs\njMjISCQkJCAyMhJOTk5Yu3atxTszc9UBAMC2xNEW3zYRSZfYIxGMkcLV1aakmEmqn+FS3FdSzARI\nM5c5maxVHH777bdYs2YNMjMzcf78ed5vTOTglmz9Cv8rM+04oWc3JyunucXkok+tVuOtt95q1p6V\nldWsLSIiAhEREY3aXF1dkZ6e3o6IRERt40gEIpKqLVu2YO/evXB1dQUAw8znvN+YyHGZU/BJ7p4+\nIiKpsoeRCETUOXl5eWH9+vV49dVXAQDFxcW835ioE3ICsOm2kSy2HhnBoo+I7B5HIhCRVIWFheHC\nhQuG14Ig8H7jDmJm22Dm9qm4Xt1i++61E5q12TIviz4iIiIiG5HL5Yaveb+x+ZjZNpi5/XLzzzRr\nu69v92bZbH2/MYs+IiIiIhvh/cZE9mln/g/49Ghpu977xKj+Fk5jPhZ9RERERDaSkJDA+42J7ExH\nCj4A8Ool/rBTFn1EREREVtS7d2/k5eUBAPr27cv7jYnsQPp7x3GipELsGBYjN74KERERERFR52DJ\ngu8uD2eLbKejeKWPiIiIiIg6pR37TyH/m0tW2fZdHs5Y9uxwq2zbXCz6iIiIiIio02lvwffnvt0Q\n/6S/FRJZD4d3EhERERFRp9NZCj6AV/qIiIiIiMiOvfL3f+HXynqrbT94kCdmjvuz1bZvC7zSR0RE\nREREdokFn2l4pY+IiIiIiOySpQu+bYmjLbo9qeCVPiIiIiIisjs/Xam06PaCB3ladHtSwqKPiIiI\niIjsTt7BHy22LUcZxtkaDu8kIiIiIiK78dOVSiz+x9EWl2W8HAIXFUucpkzeI7t378aePXsAADqd\nDqdOnUJ2djZWrFgBmUwGHx8fpKSkQC6XIy8vD7m5uVAqlYiJiUFoaCiqq6sxf/58lJeXQ61WIzU1\nFR4eHlbrGBERERER2a/ic+VYu/Nbs97Dgq9lJg/vnDRpEjIzM5GZmYn77rsPSUlJ+Pvf/464uDhk\nZ2dDEATk5+ejrKwMmZmZyM3NxdatW5GWlga9Xo+cnBz4+voiOzsb4eHhyMjIsGa/iIiIiIjITrWn\n4KPWmV0Kf/fddzh79ixSUlKwYcMGBAYGAgBCQkJQVFQEuVyOIUOGQKVSQaVSwcvLC6dPn8axY8cw\na9Ysw7os+ojIUjgSgYiIyLFkf37G7Pfc49nFCkkcg9lF36ZNmzB37lwAgCAIkMlkAAC1Wo3Kykpo\ntVpoNBrD+mq1GlqttlF7w7rGdO/eBUqlwvDa01PTxtq/M3U9KbCnrKZytD45Wn8Ax+vTpEmTMGnS\nJADA66+/jsmTJxtGIgQFBSE5ORn5+fkYPHgwMjMzsWvXLuh0OkRFRWH48OGGkQixsbHYt28fMjIy\nkJSUJHKviIiIOq/L5TfNWr9/bw0W/O1BK6Wxf2YVfdevX8e5c+cwdOhQAIBc/vvo0KqqKri7u8PN\nzQ1VVVWN2jUaTaP2hnWNqai4Yfja01ODsjLTpmU1dT2xmdMne+FofXK0/gDS6JO1ik6ORCAiIrJ/\n6e8dh2DCeu6uwLqXbj1XTwrHN1JmVtF39OhRDBs2zPD63nvvxZEjRxAUFITCwkIMHToUfn5+WLdu\nHXQ6HfR6PUpKSuDr6wt/f38UFBTAz88PhYWFCAgIsHhniKhzE3MkgjFSvLoqxUyANHMxk+mkmEuK\nmYiodSdKKlpsd9QHp9uCWUXfuXPn0Lt3b8PrhIQELFq0CGlpafD29kZYWBgUCgWio6MRFRUFQRAQ\nHx8PZ2dnREZGIiEhAZGRkXBycsLatWst3hki6rzEHIlgjBTPPkoxUwOp5ZLivpJiJkCauczJxOKQ\nSBpkQLMrfd691GJEcRhmFX0Nw58a9O3bF1lZWc3Wi4iIQERERKM2V1dXpKentyMiEZFxHIlARETk\nGHp0V+GXCn2jtqSng0RK4xj4IAsicggciUBEROQYrv/WuODzcGfJ0lHcg0TkEDgSgYiIyP59+EUJ\n9PWN25wULFk6yuSHsxMREREREVnTR1+eb9b2tzF/EiGJY2HRR0REREREkuDi1Pi1EsB9fXuIksWR\nsOgjIiIiIiJJ0Nc0fq3RmP54JGodiz4iIiIiE1y9ehUA8PXXX2PHjh24ccP0R7cQkXE7839AbZNn\nNeh0deKEcTAs+oiIiIiMSElJwdtvv42zZ89i3rx5KC4uRkJCgtixiBzKp0dLm7Xd0LewIpmNU+EQ\nERERGfHdd99h165d2LBhA6ZMmYLY2FhMnjxZ7FhEdmt+RgHKrxu/ijdheB8bpHF8vNJHREREZERd\nXR3q6+uRn5+PkJAQ3Lx5Ezdv3hQ7FpFdMrXgA4AJI/pZOU3nwCt9REREREaEh4cjODgY/v7+uP/+\n+zF27FhMnTq1XduqqalBYmIiSktLIZfLsXTpUiiVSiQmJkImk8HHxwcpKSmQy+XIy8tDbm4ulEol\nYmJiEBoaauGeEVnHiv/7N85e0oodg/5/LPqIiIiIjHj66acxbdo0KBS3ZhLcsWMHPDw82rWtgoIC\n1NbWIjc3F0VFRVi3bh1qamoQFxeHoKAgJCcnIz8/H4MHD0ZmZiZ27doFnU6HqKgoDB8+HCqVypJd\nI7I4SxV8wYM8LZCGABZ9REREREZFR0dDJpMZXstkMri4uMDb2xtz5sxB165dTd5W3759DcNFtVot\nlEolTpw4gcDAQABASEgIioqKIJfLMWTIEKhUKqhUKnh5eeH06dPw8/OzeP+ILMlSBd/McX+2QBoC\nWPQRERERGdW/f38olUrD5C0ff/wxLl++jF69emHhwoXYsGGDydvq0qULSktLMXbsWFRUVGDjxo04\nevSooahUq9WorKyEVquFRqMxvE+tVkOrbftgunv3LlAqTX+umaenxvhKEsPMttGRzHIA9Was/25K\nGLq7u7T7+zWwt/1sy7ws+oiIiIiM+Pbbb7F7927D6wEDBmDy5MlYs2YNPvjgA7O2tX37dgQHB2Pe\nvHm4dOkSpk+fjpqa359IXVVVBXd3d7i5uaGqqqpR++1FYEsqKkx/dqCnpwZlZZVmZRcbM9tGRzO7\nucpx/abxss9JDqQ+Pxy1uhqUldUYXb8t9rafzclrieKQRR8RERGRETU1Nfjxxx/h4+MDAPjxxx9R\nX1+P6urqRgWbKdzd3eHk5AQA6Nq1K2pra3HvvffiyJEjCAoKQmFhIYYOHQo/Pz+sW7cOOp0Oer0e\nJSUl8PX1tXjfiCxl/7/PI/dASbN2z+7OSH1uuAiJqIFZRd+mTZtw4MAB1NTUIDIyEoGBgSbPNFVd\nXY358+ejvLwcarUaqamp7b4BmoiIiMiWkpKSMHv2bPTo0QP19fW4fv06Vq9ejfXr12PChAlmbWvG\njBlYsGABoqKiUFNTg/j4eAwaNAiLFi1CWloavL29ERYWBoVCgejoaERFRUEQBMTHx8PZ2dlKPSTq\nmNYKPgB4NOCPNk5DTZlc9B05cgTHjx9HTk4Obt68iW3btmHlypUmzzSVk5MDX19fxMbGYt++fcjI\nyEBSUpI1+0ZERERkEUFBQfj8889x5swZyOVy9OvXD05OTvD39280wYsp1Go13tvfXckAACAASURB\nVHrrrWbtWVlZzdoiIiIQERHR7txEtrKr4L+tLgv2u8uGSaglJhd9hw4dgq+vL+bOnQutVotXX30V\neXl5Js80dezYMcyaNcuwbkZGhnV6RESdEkciEJE1lZaWIisrC7/99hsEQTC0r1y5UsRURNLh7CSg\npoXnrbu7Ai4q3lEmNpP/ByoqKnDx4kVs3LgRFy5cQExMDARBMHmmqdvbG9YlIrIEjkQgImuLi4vD\nAw88gAceeMDsK3tEjiD9veM4UVJh1nu6dgHefHG0lRKROUwu+rp16wZvb2+oVCp4e3vD2dkZly9f\nNiw3NtPU7e0N6xrTdNphU2eusafpWu0pq6kcrU+O1h/A8frEkQhEZG21tbVISEgQOwaRKNpT8Lko\nWfBJiclFX0BAAN599108/fTTuHr1Km7evIlhw4aZPNOUv78/CgoK4Ofnh8LCQgQEBBj9nrdPO2zO\ntKb2Ml2rvU0tawpH65Oj9QeQRp8sXXSKMRLBEZ6FJcVMgDRzMZPppJjLEpkCAgJw4MABBAcHQ6VS\nWSAVkXRlvH8c/+/wTx3aRnWthcKQRZhc9IWGhuLo0aOYMmUKBEFAcnIyevfubfJMU5GRkUhISEBk\nZCScnJywdu1aa/aLiDoRMUYi2PuzsKSYqYHUcklxX0kxEyDNXJZ6FtY///nPZhOtyGQynDp1qkP5\niKTm//5fMQq+vdLh7Yy8v5cF0pClmHVX5auvvtqszdSZplxdXZGenm5mPCIi48QYiUBEncuhQ4fE\njkBkE5Yq+KaPvc8CachSOJUOEdk9jkQgImvZuXMnnnzySWzYsKHF5S+88IKNExFZl0oO6OvbXid4\nkCdmjvuzbQKRRbDoIyKHwJEIRGQNtz+egagzcO+qwi8V+laXs+CzTyz6iIiIiFoxdepUAMDdd9+N\niRMnNlq2Y8cOMSIRWVWtvvEMLB7uSqx5PkSkNGQpLPqIiIiIWrF9+3ZotVrk5uaitLTU0F5XV4eP\nPvoITz31lIjpiCzrmlaHa1VNxnbysZQOQS52ACIiIiKp6tOnT4vtKpUKq1atsnEaIuv67Oufm7X1\n7OYmQhKyNF7pIyIiImpFaGgoQkNDMXbsWPTr10/sOERW9c+vmj+bb+poHxGSkKWx6CMiIiIy4uef\nf0ZiYiIqKioaTe6Sn58vYioiy0ne8iVamrbIq1frz68k+8Gij4iIiMiI5cuXY+HChejfvz9kMt7k\nRI7nQnm12BHIilj0ERERERmh0WgwatQosWMQ2dRdHs5iRyALYdFHRERE1IqjR48CAPr164dly5bh\n4YcfhlL5++HTgw8+KFY0onbb/+/zyD1QYnS9Zc8Ot0EasgUWfUREREStSE9PN3x9+fJl/PDDD4bX\nMpkM7777rhixiEyStLkIF3/Vteu9gQPusHAaEhOLPiIiIqJWZGZmih2BqF06UvABwMSQ/hZMQ2Jj\n0UdERERkxLRp0xq9lslkcHFxgbe3N+bMmYOuXbuKlIzod6syj+JMaWWHt6NxBXp5dLFAIpIKFn1E\nRERERvTr1w9KpRKTJ08GAHz88ce4fPkyevXqhYULF2LDhg0iJ6TOzlIFn7srsGPZBJSVdXxbJB0s\n+oiIiIiM+Pbbb7F7927D6wEDBmDy5MlYs2YNPvjgAxGTEd3SnoKvZzcnrJozwgppSGpY9BEREREZ\nUVNTgx9//BE+Pj4AgB9//BH19fWorq5GTU2NyOmIjIudNAhDfHuKHYNEYlbRN3HiRLi5uQEAevfu\njTlz5iAxMREymQw+Pj5ISUmBXC5HXl4ecnNzoVQqERMTg9DQUFRXV2P+/PkoLy+HWq1GamoqPDw8\nrNIpIiIiIktKSkrC7Nmz0aNHD9TX1+P69etYvXo11q9fjwkTJogdjwgaFxkqq4UWl7HgI5OLPp1O\nB0EQGs1iNWfOHMTFxSEoKAjJycnIz8/H4MGDkZmZiV27dkGn0yEqKgrDhw9HTk4OfH19ERsbi337\n9iEjIwNJSUlW6RQRERGRJQUFBeHzzz/HmTNnIJfL0a9fPzg5OcHf3x8ymUzseNTJ/XjhWrOCz+sO\nNRbPChIpEUmNyUXf6dOncfPmTcycORO1tbV4+eWXUVxcjMDAQABASEgIioqKIJfLMWTIEKhUKqhU\nKnh5eeH06dM4duwYZs2aZVg3IyPDOj0iok6JIxGIyBrWr1+P2NhYvPbaay0uX7lypY0TETWXk3+m\nWVvoA3eLkISkyuSiz8XFBc888wyeeOIJ/O9//8Ps2bMhCILh7JZarUZlZSW0Wi00Go3hfWq1Glqt\ntlF7w7pERJbAkQhEZC333XcfABhOchOJJf294zhRUmHy+kH33mnFNGRvTC76+vbtiz59+kAmk6Fv\n377o1q0biouLDcurqqrg7u4ONzc3VFVVNWrXaDSN2hvWNaZ79y5QKhWG156emjbW/p2p60mBPWU1\nlaP1ydH6AzhenzgSgYisZfTo0QBujSa4evUqevbsia+//ho//PADJk6cKHI66gzmZxSg/Hqd2e9z\nUXG+RvqdyT8N77//Ps6cOYPFixfjypUr0Gq1GD58OI4cOYKgoCAUFhZi6NCh8PPzw7p166DT6aDX\n61FSUgJfX1/4+/ujoKAAfn5+KCwsREBAgNHvWVFxw/C1p6fG5OeF2MtzRczpk71wtD45Wn8AafTJ\n0kWnGCMRmp6UMkaKhbYUMwHSzMVMppNiLktkahgi/tRTT2HevHkYPnw4vvrqK6xfv75d29u0aRMO\nHDiAmpoaREZGIjAw0OQh6dR5tLfgI2rK5KJvypQpeO211xAZGQmZTIYVK1age/fuWLRoEdLS0uDt\n7Y2wsDAoFApER0cjKioKgiAgPj4ezs7OiIyMREJCAiIjI+Hk5IS1a9das19E1ImIMRLh9pNSxkih\n0G5KipkaSC2XFPeVFDMB0sxlTqa2isPvvvsOu3btwoYNGzBlyhTExsZi0qRJ7cp05MgRHD9+HDk5\nObh58ya2bduGlStXmjwkXaVStev7kv1pb8F3j2cXCyche2dy0adSqVos1LKyspq1RUREICIiolGb\nq6sr0tPT2xGRiKhtYoxEIKLOpa6uDvX19cjPz8frr7+Omzdvorq6ul3bOnToEHx9fTF37lxotVq8\n+uqryMvLM3lIup+fnyW7RhLx8voDuFZlfD1j7vHsguRnhnZ8Q+RQONiXiOweRyIQkbWFh4cjODgY\n/v7+uP/++zF27FhMnTq1XduqqKjAxYsXsXHjRly4cAExMTFmDUlviyMMPTfGETNPf/1jkwu+Bwb0\nQMrsYAukapsj7mepsWVeFn1EZPc4EoGIrO3pp5/GtGnToFDcKqh27NjR7ke7dOvWDd7e3lCpVPD2\n9oazszMuX75sWG5sSHpb7H3ouTGOmPmnK5X41cRhnIuffhBevay/DxxxP0uNpYaem0re4S0QERER\ndQINBR+ADj3LMyAgAF988QUEQcCVK1dw8+ZNDBs2DEeOHAEAFBYW4oEHHoCfnx+OHTsGnU6HyspK\nw5B0sn/V+lo8t+oAZq46gMX/OGrSe1wUgFcv+7qSRdLBK31ERERENhQaGoqjR49iypQpEAQBycnJ\n6N27t8lD0sm+Vetr8XxaoVnvcXMG0uNHWykRdQYs+oiIiIiMOHnypEUnUHn11VebtZk6JJ3sU9xb\nB3D9pvH1lAA2J7LAI8ti0UdERERkxJo1a1BRUYEJEyZgwoQJ8PT0FDsS2ZHYtAOo0pu2Lgs+sgYW\nfURERERGvPvuuygtLcWHH36IZ555Bn/4wx8wceJEPPzww3BychI7HknYpV+0JhV8XbsAb77Igo+s\ngxO5EBEREZng7rvvRnh4OMaNG4cff/wR7777LsaNG4fPPvtM7GgkYVn/71Sbyz00cmxLHM2Cj6yK\nV/qIiIiIjMjLy8PevXtRVlaG8PBwZGdn484778SVK1cwceJEPProo2JHJIn68eeKVpd5aORYM3eU\n7cJQp8Wij4iIiMiIr7/+GrGxsQgKCmrU3qtXL6SkpIiUiuxRd3cF1j4/UuwY1Mmw6CMiIiIyYsqU\nKZDJZDh69NYz1WQyGZydndGnTx+EhYWJnI6krKau8YPXZZCJlIQ6MxZ9REREREZkZGTg+++/x7Bh\nwyAIAv7973/j7rvvhlarxUsvvYRx48aJHZHshCCInYA6IxZ9REREREYIgoC9e/firrvuAgBcuXIF\nCxYsQGZmJqKjo1n0UaucFIpGrxVKzqNItseij4iIiMiIq1evGgo+4Na9fFevXoWbmxsEXrrp1IrP\nlWPtzm9NXr++rt6KaYhaxqKPiIiIyIghQ4Zg3rx5GD9+POrr67Fv3z4MGTIE//rXv9ClSxex45FI\nzC34AEAu55U+sj0WfURERERGLFmyBLm5udi5cycUCgUeeughREREoKioCKtXrxY7Holg/7/PI/dA\nidnvG9K/pxXSELXN7KKvvLwckyZNwrZt26BUKpGYmAiZTAYfHx+kpKRALpcjLy8Pubm5UCqViImJ\nQWhoKKqrqzF//nyUl5dDrVYjNTUVHh4e1ugTERERkUU9++yz2LZtG/72t781ah85klPvd0aJG7/A\n1Ws17Xrv2KF9LJyGyDizri/X1NQgOTkZLi4uAICVK1ciLi4O2dnZEAQB+fn5KCsrQ2ZmJnJzc7F1\n61akpaVBr9cjJycHvr6+yM7ORnh4ODIyMqzSISLqnMrLyzFy5EiUlJTg/PnziIyMRFRUFFJSUlBf\nf+v+iby8PEyaNAkRERE4ePAgAKC6uhqxsbGIiorC7Nmz8euvv4rZDSKSqOrqaly6dEnsGCSyN3d+\ng5mrDrSr4HOSA2kvDEc3N2crJCNqm1lX+lJTUzF16lRs3rwZAFBcXIzAwEAAQEhICIqKiiCXyzFk\nyBCoVCqoVCp4eXnh9OnTOHbsGGbNmmVYl0UfEVlKayekgoKCkJycjPz8fAwePBiZmZnYtWsXdDod\noqKiMHz4cMMJqdjYWOzbtw8ZGRlISkoSuUdEJDUVFRUYPXo0evToAWdnZwiCAJlMhvz8fLGjkY28\nufMbfHfuWpvr3OXhjGXPDm/U5umpQVlZpTWjERllctG3e/dueHh4YMSIEYair+EDDwDUajUqKyuh\n1Wqh0WgM71Or1dBqtY3aG9Y1pnv3LlAqf5/m1tNT08bavzN1PSmwp6ymcrQ+OVp/AMfrE09IEZG1\nvfPOO2JHIJG1p+AjkgqTi75du3ZBJpPh8OHDOHXqFBISEhoNg6qqqoK7uzvc3NxQVVXVqF2j0TRq\nb1jXmIqKG4avzTlLYi9nUxzxzI+j9cnR+gNIo0+WLDrFOCFFRJ3P3XffjY8++ghnz57FnDlz8Omn\nnyI8PFzsWCQR2xJHix2BqE0mF307duwwfB0dHY3FixfjjTfewJEjRxAUFITCwkIMHToUfn5+WLdu\nHXQ6HfR6PUpKSuDr6wt/f38UFBTAz88PhYWFCAgIsEqHiKhzEeOEFNB8JIIxUry6KsVMgDRzMZPp\npJjLEpnWrFmDy5cvo7i4GLNnz8auXbtw+vRpJCYmWiAh2YM7ujnhlyb38gX4eGDu5MEiJSIyXYce\n2ZCQkIBFixYhLS0N3t7eCAsLg0KhQHR0NKKioiAIAuLj4+Hs7IzIyEgkJCQgMjISTk5OWLt2raX6\nQESdmFgnpG4fiWCMFK6uNiXFTA2klkuK+0qKmQBp5jInU1vF4aFDh7Bnzx5MnDgRbm5u+Mc//oHH\nH3+cRV8nUa2vbVbwebg7seAju9Guoi8zM9PwdVZWVrPlERERiIiIaNTm6uqK9PT09nw7IiKz8IQU\nEVlawwO1G4aO6/V6PmS7kzh0shTbPvmhWbu7C2fhJPvBh7MTkcPgCSkispbHHnsMcXFx+O2337B9\n+3bs3bsX48aNEzsWWVlrBR8ARI7xtXEaovZj0UdERERkxLPPPosvvvgCd911Fy5duoTY2FiEhoaK\nHYusLDf/bKvLfHp3s2ESoo5h0UdERERkgjvvvBMPP/wwBEEAABw9ehQPPvigyKnImpSKuhbbPTQc\n2kv2hUUfERERkRGvv/46Dh48iD/+8Y+GNplMhnfffVfEVGRtCoUSQG2jNg+NHGvmjhIlD1F7segj\nIiIiMqKoqAj//Oc/4eLiInYUsqFrlY0Lvju6q7D6uWCR0hC1H69NExERERnxxz/+0TCskzqHN3d+\ng6b/4zdv6EXJQtRRvNJHREREZETXrl3x17/+FUOGDIFKpTK0r1y5UsRUZA3JW77EhfLqFpdV6Wwc\nhshCWPQRERERGTFixAiMGDFC7BhkZW0VfAAwYXgfG6YhshwWfURERERGTJw4ERcuXMDZs2cRHByM\nS5cuNZrUpT3Ky8sxadIkbNu2DUqlEomJiZDJZPDx8UFKSgrkcjny8vKQm5sLpVKJmJgYPibCStp6\nHt/tJozoZ4M0RJbHe/qIiIiIjPjkk08QExOD5cuX47fffsPUqVPx4Ycftnt7NTU1SE5ONkwMs3Ll\nSsTFxSE7OxuCICA/Px9lZWXIzMxEbm4utm7dirS0NOj1vKfM0kwt+B72/4MN0hBZB4s+IiIiIiO2\nbNmCnJwcqNVq9OjRA3v27MHmzZvbvb3U1FRMnToVPXv2BAAUFxcjMDAQABASEoIvv/wSJ0+eNNxD\nqNFo4OXlhdOnT1ukP/Q7Uwu+p8YMtEEaIuvg8E4iIiIiI+RyOdzc3Ayve/bsCbm8fefOd+/eDQ8P\nD4wYMcJQOAqCAJlMBgBQq9WorKyEVquFRqMxvE+tVkOr1XagF9TU3DUH2lweO2kQhvj2tFEaIuth\n0UdERERkhI+PD7KyslBbW4tTp04hOzsbAwYMaNe2du3aBZlMhsOHD+PUqVNISEjAr7/+alheVVUF\nd3d3uLm5oaqqqlH77UVgS7p37wKlUmFyFk/PtrcnRZbKfOkXLW7Wtr580cxABN5nmSGdnXk/25K9\nZbZlXhZ9REREREYkJyfj7bffhrOzMxYsWIChQ4ciISGhXdvasWOH4evo6GgsXrwYb7zxBo4cOYKg\noCAUFhZi6NCh8PPzw7p166DT6aDX61FSUgJfX982t11RccPkHJ6eGpSVVbarD2KxZOZ3PvyuxfZ7\nPLsg+ZmhAGCR79XZ97Ot2Ftmc/Jaojhk0UdERERkRJcuXTBv3jzMmzfPKttPSEjAokWLkJaWBm9v\nb4SFhUGhUCA6OhpRUVEQBAHx8fFwdna2yvfvTFbv+Bqnf77e4rLePVwMBR+RI2HRR0RERCSSzMxM\nw9dZWVnNlkdERCAiIsKWkRxaWwUfACyZ/ZAN0xDZjslFX11dHZKSknDu3DnIZDK8/vrrcHZ2NvmZ\nMtXV1Zg/fz7Ky8uhVquRmpoKDw8Pa/aNiIiIiMigrYKPyJGZXPQdPHgQAJCbm4sjR47gzTffhCAI\niIuLQ1BQEJKTk5Gfn4/BgwcjMzMTu3btgk6nQ1RUFIYPH46cnBz4+voiNjYW+/btQ0ZGBpKSkqzW\nMSLqPHhSioisbc+ePZg4cWKjth07duCpp54SKREZMz+jAOXX60xe3+sOVyumIRKXyUXfI488glGj\nRgEALl68CHd3d3z55ZeNnilTVFQEuVxueKaMSqUyPFPm2LFjmDVrlmHdjIwMy/eGiDolnpQiImvZ\nvn07tFotcnNzUVpaamivra3Fxx9/zKJPAl5efwDXqoyv1xavO1yxeNYwywQikiCz7ulTKpVISEjA\nZ599hvT0dBQVFZn8TJnb2xvWNabptMOmzlxjT9O12lNWUzlanxytP4Dj9YknpYjIWvr06YPi4uJm\n7c7Ozli1apUIiTqXZf84gv9e6WBF14Y7uqqwOibYatsnkgqzJ3JJTU3FK6+8goiICOh0OkO7sWfK\n3N7esK4xt087bM60pvYyXau9TS1rCkfrk6P1B5BGn6xRdIp9UsoYKRbaUswESDMXM5lOirk6kik0\nNBShoaEYO3Ys+vXrBwDQarW4dOkSfHx8LBWRWmDtgg8Apj820KrbJ5IKk4u+Dz74AFeuXMFzzz0H\nV1dXyGQyDBo0yORnyvj7+6OgoAB+fn4oLCxEQECANftFRJ2QWCeljJFCod2UFDM1kFouKe4rKWYC\npJnLUs/C+uabb/DOO+9g/vz5CA8Ph1qtxpgxYxAfH2+pqNSENQs+GYCXn7wf9/XtYbXvQSQlJhd9\nY8aMwWuvvYannnoKtbW1WLBgAfr162fyM2UiIyORkJCAyMhIODk5Ye3atdbsFxF1IjwpRUTWlpOT\ng23btmHv3r14+OGHsXDhQkRERLDoswMz//InBPvdLXYMIlGZXPR16dIFb731VrN2U58p4+rqivT0\n9HZEJCJqG09KEZEtdOvWDQUFBZg2bRqUSmWjEQVkeWonoKrG9PXn8codUav4cHYisns8KUVE1ta/\nf38899xzuHDhAoYNG4aXXnoJf/7zn8WO5bCO/OdSs4KvV3cXvJMUJrkhxET2gEUfERERkRErVqzA\n8ePH4evrC5VKhQkTJiAkJETsWA4r9/Ozzdr+NuZPIiQhcgxysQMQERERSV19fT2+/vprrFixAlqt\nFv/5z39QX18vdiyHpXASGr12cwWHbhJ1AIs+IiIiIiOWLFmCmzdvori4GAqFAj/99BMWLlwodiyH\nVK2vxa+/1TZqUzlxcBpRR7DoIyIiIjKiuLgYL7/8MpRKJVxdXZGamopTp06JHcvhVOtr8XxaYbP2\n65W1LaxNRKZi0UdERERkhEwmg16vh0wmAwBUVFQYvibL+eSr/7XYXiu02ExEJuK1ciIiIiIjpk2b\nhqeffhplZWVYvnw5Pv/8c8ydO1fsWA7lyq838PGXP7W4LPBPvJ+PqCNY9BEREREZER4ejkGDBuHI\nkSOoq6vD22+/jQEDBogdy6HsLTrXYnvgn3pgzsT7bZyGyLGw6CMiIiIyYvz48Rg5ciRGjRqFgIAA\nDu20gvNXrjdr6+4mY8FHZAG8p4+IiIjIiG3btsHb2xtZWVkICwvDK6+8gk8++UTsWA6lWl/TrG3t\nC6EiJCFyPLzSR0RERGSEp6cnJk6cCB8fHxw+fBhZWVn48ssv8Ze//EXsaA5DaDJZS3cND1OJLIW/\nTURERERGzJ49G//9738xYMAABAYGYvPmzbynz8IUSnmbr4mo/Vj0ERERERlx77334saNG7h27RrK\ny8vxyy+/oLq6Gi4uLmJHcxj1dfVtviai9mPRR0RERGREfHw8AKCqqgr79+/HkiVLcPHiRXz//fci\nJ3McdbV1jV43He5JRO3Hoo+IiIjIiC+++AKHDx/G4cOHUV9fj7CwMIwcOVLsWHbryq838Nrmr9pc\np4uKh6lElsLfJiIiIiIjduzYgdDQUEyfPh29evUSO45dM6XgAwCvXhobpCHqHEwu+mpqarBgwQKU\nlpZCr9cjJiYG/fv3R2JiImQyGXx8fJCSkgK5XI68vDzk5uZCqVQiJiYGoaGhqK6uxvz581FeXg61\nWo3U1FR4eHhYs29EREREFpGRkYGcnBwsX74ctbW1GDp0KP72t79BLudkI+Zq7SHsTT0e3M/KSYg6\nD5OLvr1796Jbt2544403cO3aNYSHh2PAgAGIi4tDUFAQkpOTkZ+fj8GDByMzMxO7du2CTqdDVFQU\nhg8fjpycHPj6+iI2Nhb79u1DRkYGkpKSrNk3IuokeFKKiKztjTfewPnz5zF58mQIgoDdu3fjwoUL\nWLBggdjR7MqHX5TgcPEVo+upVUAvjy42SETUOZhc9D322GMICwsDAAiCAIVCgeLiYgQGBgIAQkJC\nUFRUBLlcjiFDhkClUkGlUsHLywunT5/GsWPHMGvWLMO6GRkZVugOEXVGPClFRNZWVFSEDz74wHBl\nb9SoURg/frzIqezLh1+U4MOi80bXc3cF1r002gaJiDoPk4s+tVoNANBqtXjxxRcRFxeH1NRUyGQy\nw/LKykpotVpoNJpG79NqtY3aG9Y1pnv3LlAqFYbXnp6mje02dT0psKespnK0PjlafwDH6xNPShGR\ntdXV1aG2thYqlcrwWqFQGHkXAUD6e8dxoqSizXW2JbLII7ImsyZyuXTpEubOnYuoqCiMHz8eb7zx\nhmFZVVUV3N3d4ebmhqqqqkbtGo2mUXvDusZUVNwwfO3pqUFZmfFCEYDJ64nNnD7ZC0frk6P1B5BG\nnyxddErhpJQxUiy0pZgJkGYuZjKdFHNZItP48eMxbdo0/PWvfwUA7Nu3z/C1uTo6JN2emFLw9e7B\nZx0SWZvJRd8vv/yCmTNnIjk5GcOGDQNw60GlR44cQVBQEAoLCzF06FD4+flh3bp10Ol00Ov1KCkp\nga+vL/z9/VFQUAA/Pz8UFhYiICDAap0ios5HzJNSxkih0G5KipkaSC2XFPeVFDMB0sxlTqa2isM5\nc+Zg4MCB+OqrryAIAubMmYNRo0a1K1NHh6Q3XG2UsuJz5Vi781uj6/Xu4YIlsx+yQSKizs3kom/j\nxo24fv06MjIyDEOfFi5ciGXLliEtLQ3e3t4ICwuDQqFAdHQ0oqKiIAgC4uPj4ezsjMjISCQkJCAy\nMhJOTk5Yu3at1TpFRJ0LT0oRkS2MHDmy0bP5Fi9ejMWLF5u9nY4OSffz87NIf6zF1IKv/x/csGB6\noA0SEZHJRV9SUlKLExtkZWU1a4uIiEBERESjNldXV6Snp7cjIhFR23hSiojEsHfv3nYVfR0dkt4W\nKQw9f3/7v42uM+CerngjdlS7ti/FIcTGMLNt2FtmW+blw9mJyO7xpBQRiUEQhHa/tyND0tsihaHn\nVTp9q8se9v8DnhozEED7hnJLcQixMcxsG/aW2VJDz03FJ4oSERERtUPDlTlzNQxJnz9/PqZMmQLg\n9yHpAFBYWIgHHngAfn5+OHbsGHQ6HSorKw1D0qVqx/5TmLnqAH6paLnou73gIyLb4pU+IiIiolZE\nR0e3WNwJggCdTteubXZ0SLoU7dh/CvnfXGpxmVIGbE7gIxmIxMSij4iIhebuCwAAFNxJREFUiKgV\nsbGxFt9mR4ekS1FrBR8A1LZ/FCwRWQiLPiIiIqJWNMyoSa278mvb9xEG+HjYKAkRtYb39BERERFR\nu6W/f7zVZQE+Hpg7ebAN0xBRS3ilj4iIiIjaZWf+D7j0a/N7G1c+OxS9PLqIkIiIWsIrfURERETU\nLp8eLW2xnQUfkbSw6CMiIiIii/HQ8PCSSGr4W0lEREREZpufUdBi+5q5o2wbhIiMYtFHRERERGYr\nv14ndgQiMhGLPiIiIiIyS2uPaRg28A4bJyEiU7DoIyIiIiKz7PmipFnbHV2dMHuCnwhpiMgYFn1E\nREREZJZ/nypr1rYgmg+yJ5IqPqePiIiIiIyq1tfipbRC1LSyvJubs03zEJHpWPQRERERUZuq9bV4\nPq1Q7BhE1E5mD+/89ttvER0dDQA4f/48IiMjERUVhZSUFNTX1wMA8vLyMGnSJERERODgwYMAgOrq\nasTGxiIqKgqzZ8/Gr7/+asFuEFFnx88mIiLrOXTyYpvLve5wtVESImoPs4q+LVu2ICkpCTqdDgCw\ncuVKxMXFITs7G4IgID8/H2VlZcjMzERubi62bt2KtLQ06PV65OTkwNfXF9nZ2QgPD0dGRoZVOkRE\nnQ8/m4iIrOvAN6WtLuumBhbPGmbDNERkLrOKPi8vL6xfv97wuri4GIGBt27aDQkJwZdffomTJ09i\nyJAhUKlU0Gg08PLywunTp3Hs2DGMGDHCsO7hw4ct2A3HNXPVAcM/ImoZP5uIiKyrVmj5mXwz//In\npMWOtnEaIjKXWff0hYWF4cKFC4bXgiBAJpMBANRqNSorK6HVaqHRaAzrqNVqaLXaRu0N6xrTvXsX\nKJUKw2tPT00ba//O1PWkwJys9tIve8lpKkfrD+B4fbL1ZxPQ/POpLePnfQgA+GjtBJPWtxWp/hxI\nMRczmU6KuaSYyR6kv3ccJ0oqWlzm4a7EmudDbJyIiNqrQxO5yOW/XyisqqqCu7s73NzcUFVV1ahd\no9E0am9Y15iKit8f/OnpqUFZmWkHY6auJzZz+gTYR7/M7ZPUOVp/AGn0ydoHYNb+bAIafz6ZSuz9\nfjsp/By0Rmq5pLivpJgJkGYuczKxOPxdWwUfAFyvrLVhGiLqqA49p+/ee+/FkSNHAACFhYV44IEH\n4Ofnh2PHjkGn06GyshIlJSXw9fWFv78/CgoKDOsGBAR0PD0RUQv42USObOaqA4arx0TW0lbBBwC1\ngo2CEJFFdOhKX0JCAhYtWoS0tDR4e3sjLCwMCoUC0dHRiIqKgiAIiI+Ph7OzMyIjI5GQkIDIyEg4\nOTlh7dq1luoDEVEj/GwiIrKuAB8PsSMQkRnMLvp69+6NvLw8AEDfvn2RlZXVbJ2IiAhEREQ0anN1\ndUV6eno7YxIRtY2fTURElnHoZOszdQK3Cr65kwfbKA0RWQIfzk5ERETUyS3Z+hX+V9b6vcoKAFsS\nOUsnkb3q0D19JD18vAMRERGZw1jBBwBPjO5nozREZA0s+oiIiIg6MWMFHwCMCexjgyREZC0s+oiI\niIg6qRffND46qHcPFxskISJr4j19RERERJ1QROKHuFnT9jq9e7hgyeyHbBOIiKyGRR8RERFRJ/Pj\nhWutFnzTH/PFyMG9bRuIiKyKwzuJiIiIOpmd+WdbXRZ07502TEJEtsArfUREREQSVV9fj8WLF+OH\nH36ASqXCsmXL0KdPxydV+d+l683anBXAmy+FwEXFw0MiR8MrfUREREQS9fnnn0Ov12Pnzp2YN28e\nVq1aZZHt1rfQ9vb80Sz4iBwUiz4iIiIiiTp27BhGjBgBABg8eDC+//77Dm/zmlbX4W0QkX3h6Rwi\nIiIiidJqtXBzczO8VigUqK2thVLZ8iFc9+5doFQq2tzm8f+WN2tb9twweHpqOhbWRuwl5+2Y2Tbs\nLbMt87LoIyIiIpIoNzc3VFVVGV7X19e3WvABQEWF8Qet9+3pBoVChro6AQDw3OMDcVd3V5SVVXY8\nsJV5emrsIuftmNk27C2zOXktURyy6CMiIiKSKH9/fxw8eBB/+ctfcOLECfj6+nZ4m93cnPFGzEM4\nd1WLvj3d0M3N2QJJiUjKWPQRERERSdSjjz6KoqIiTJ06FYIgYMWKFRbZbjc3Z4zpe4ddXRkhovZj\n0UdEREQkUXK5HEuWLBE7BhHZORZ9ZDUzVx0wfL0tcbSISYiIiIiIOi+bFn3WesAoEVFH8fOJiIiI\nHJVNi77bHzB64sQJrFq1Cm+//bYtI5Ad45VDsiZ+PhEREZGjsmnRZ40HjBKZy1LFoznbcdSCtaFf\njtAnfj4ROZaGz6eP1k4QOQkRkfhkgiAItvpmCxcuxJgxYzBy5EgAwKhRo/D555+3+bwZIiJb4OcT\nEREROSq5Lb+ZuQ8YJSKyFX4+ERERkaOyadHn7++PwsJCALDYA0aJiCyBn09ERETkqGw6vLNhdrwz\nZ84YHjDar18/W317IqJW8fOJiIiIHJVNiz4iIiIiIiKyLZsO7yQiIiIiIiLbYtFHRERERETkwCQ7\nNd2mTZtw4MAB1NTUIDIyEk888QQA4KOPPkJWVhZ27twpckLzNO3P6NGjkZSUhOvXr6Ourg6rV6+G\nl5eX2DHN0rRPgwYNQkpKChQKBe655x4sX74ccrn9nFfYvXs39uzZAwDQ6XQ4deoUsrOzsWLFCshk\nMvj4+CAlJcXu+5SXl4elS5dCoVBApVIhNTUVd9xxh8hJ7V/DPYE//PADVCoVli1bhj59+hiWHzhw\nAH//+9+hVCoxefJkRERESCLX9u3b8d5778HDwwMA8Prrr8Pb29sm2b799lusWbMGmZmZjdrF2ldt\nZRJrP9XU1GDBggUoLS2FXq9HTEwMHn74YcNyMfaVsUxi7Ku6ujokJSXh3LlzkMlkeP311xtNxiTm\nz5QUGftcsLWWfqb69++PxMTEZn9/8/LykJubC6VSiZiYGISGhqK6uhrz589HeXk51Go1UlNTDT9/\n1lZeXo5JkyZh27ZtUCqVks/c9NgtMDBQ0plramqQmJiI0tJSyOVyLF26VLL7+fa/H+fPn+9wxhMn\nTmD58uVQKBQIDg7GCy+80LGAggR99dVXwnPPPSfU1dUJWq1WSE9PFwRBEIqLi4Vp06YJTzzxhMgJ\nzdNSfxISEoR9+/YJgiAIhw8fFg4ePChuSDO11Kfnn39e+Ne//iUIgiC8/PLLQn5+vsgp22/x4sVC\nbm6u8NxzzwlfffWVIAiCsGjRImH//v0iJ2u/hj499dRTwn/+8x9BEAQhJydHWLFihcjJHMOnn34q\nJCQkCIIgCMePHxfmzJljWKbX64VHHnlEuHbtmqDT6YRJkyYJZWVloucSBEGYN2+e8N1339kky+02\nb94sjBs3rtnnuZj7qrVMgiDefnr//feFZcuWCYIgCBUVFcLIkSMNy8TaV21lEgRx9tVnn30mJCYm\nCoJw6++TVH7/pMrY54KttfQz1dLf36tXrwrjxo0TdDqdcP36dcPX27ZtMxwrfvzxx8LSpUttkluv\n1wvPP/+8MGbMGOHs2bOSz9zSsZvUM3/22WfCiy++KAiCIBw6dEh44YUXJJm56d8PS2R8/PHHhfPn\nzwv19fXCrFmzhOLi4g5llOQli0OHDsHX1xdz587FnDlzMGrUKFRUVCAtLQ0LFiwQO57ZWurPN998\ngytXrmDGjBn46KOPEBgYKHZMs7TUp4EDB+LatWsQBAFVVVV2+4yz7777DmfPnsWTTz6J4uJiw/9N\nSEgIvvzyS5HTtc/tfUpLS8PAgQMB3Do77uzsLHI6x3Ds2DGMGDECADB48GB8//33hmUlJSXw8vJC\n165doVKpEBAQgKNHj4qeCwCKi4uxefNmREZGYtOmTTbJBABeXl5Yv359s3Yx91VrmQDx9tNjjz2G\nl156CQAgCAIUCoVhmVj7qq1MgDj76pFHHsHSpUsBABcvXoS7u7thmZg/U1Jl7HPB1lr6mWrp7+/J\nkycxZMgQqFQqaDQaeHl54fTp0436ExISgsOHD9skd2pqKqZOnYqePXsCgOQzt3TsJvXMffv2RV1d\nHerr66HVaqFUKiWZuenfj45m1Gq10Ov18PLygkwmQ3BwcIePQSV5VF5RUYGLFy9i48aNuHDhAubM\nmYN+/frhtddes8sD1Kb9iYmJQWlpKdzd3bF9+3Zs2LABW7ZsMXzg2YOW+hQbG4slS5bg7bffhkaj\nQVBQkNgx22XTpk2YO3cugFt/fGQyGQBArVajsrJSzGjtdnufGv44ffPNN8jKysKOHTvEjOYwtFot\n3NzcDK8VCgVqa2uhVCqh1Wqh0WgMy9RqNbRarei5AOCvf/0roqKi4ObmhhdeeAEHDx5EaGio1XOF\nhYXhwoULLeYVa1+1lgkQbz+p1WoAt/bLiy++iLi4OMMysfZVW5kA8faVUqlEQkICPvvsM6Snpxva\nxfyZkipjnwu21tLPVGpqarO/v639X97ebqu/1bt374aHhwdGjBiBzZs3A2j5mEFKmVs6dpN65i5d\nuqC0tBRjx45FRUUFNm7ciKNHj0ouc9O/Hx3dr01/R9VqNX7++ecOZZTklb5u3bohODgYKpUK3t7e\nuHz5Mv73v/9h8eLFePnll3H27FksX75c7Jgma9ofZ2dn1NXVYfTo0QCA0aNHi36WzVwt9emVV17B\njh078M9//hPh4eFYtWqV2DHNdv36dZw7dw5Dhw4FgEb371VVVTU6e2wvmvYJAD755BOkpKRg8+bN\nNrvvwdG5ubmhqqrK8Lq+vt5wANV0WVVVVaMPfrFyCYKA6dOnw8PDAyqVCiNHjsR//vMfm+RqjZj7\nqjVi76dLly5h2rRpmDBhAsaPH29oF3NftZZJ7H2VmpqKTz/9FP9fe/cX0lQbxwH8O9sEYW1XJqlF\nuhH9kSgtaGRBf0CRMOwvFM4MQkgQDcYqEwyXUGRddBFlULC6cBQ4Lcw7m/0bqzCJatKIakTlklr7\nU27rvBcv71CbvvmaPudd38+VblO+z+PDeZ7fOcfzNDQ0IBQKAZDnmBJtouOCKGPHVKL5d7y/5cjX\nZ2quvn79Ou7du4fy8nI8f/4cZrMZQ0NDss6caO02sgiSY+bLly+jsLAQ3d3dsNvtOHToECKRiKwz\nA4nXj5PJmOizU80uy6KvoKAAvb29kCQJHz58QEZGBm7cuAGr1YrTp09Dr9ejvr5edMxfNrY94XAY\nGzduxO3btwEALpcLer1ecMrJSdSm+fPnx89KzJkzB36/X3DKyXO5XDAYDPHvlyxZAqfTCQBwOBxY\nuXKlqGj/2dg22e12XLlyBVarFfPmzROYLLnk5+fD4XAAAPr6+kY9REKn0+H169f4/PkzhoeH8fDh\nQ6xYsUJ4rkAggM2bNyMYDEKSJDidTuTl5c1IrvGI7KvxiOwnn8+Hffv2wWQyYfv27aPeE9VXE2US\n1Vft7e3xW0nT0tKgUCjiiy45jinRJjouiJBoTCWaf5ctW4ZHjx7h+/fv+Pr1KzweDxYuXIj8/Pz4\nmsrhcKCgoGDaM1+9ejU+ly5evBgnTpzAunXrZJ050drNYDDIOrNGo4mfpNFqtYhGo7IfG8DUx69a\nrYZKpcKbN28gSRLu3Lkz5TWobDdnP3nyJJxOJyRJQl1dXfxeV6/Xi4MHD8JmswlOODlj25Obm4uj\nR48iHA5DrVajpaUFWq1WdMxJGdumtLQ0nDp1CkqlEiqVCk1NTcjOzhYdc1IuXrwIpVKJvXv3AgBe\nvXqFhoYGRCIR5ObmwmKx/PT/K3I3sk2xWAwGgwFz586NnzFatWoVampqBKf8//vnaXgDAwOQJAnN\nzc149uwZQqEQdu3aFX96oCRJ2LZtG/bs2SOLXO3t7bBarUhNTYXBYJjRsTDyeN7Z2Sm8rybKJKqf\nLBYLurq6Rj39cseOHQiHw8L66t8yieirUCiEw4cPw+fzIRqNYv/+/QiHw7IYU3KU6Lig0+mE5Uk0\npurr62GxWH6af202G9ra2iBJEqqqqlBUVIRwOAyz2YzBwUGoVCq0tLQgPT19xvKXl5ejsbERKSkp\nCdcMcso8du2WnZ0t68zBYBBHjhzB4OAgIpEIjEYj8vLyZJl55Pwx3vpxMhn7+vrQ3NyMWCyGwsJC\n1NXVTSmfbIs+IiIiIiIimjpZ3t5JREREREREvweLPiIiIiIioiTGoo+IiIiIiCiJsegjIiIiIiJK\nYiz6iIiIiIiIkpjYnTiJiIiIiP5w0WgUra2t6OjogEKhQCwWQ1lZGaqqqqBQKETHoyTAoo+IiIiI\nSKBjx47B5/Ohra0NGo0GgUAA1dXVmD179h+/ryT9Htynj4iIiIhIkPfv36OoqAgOhwNarTb+usfj\nwcuXL5GTk4OmpiaEQiEMDQ2hsrISRqMRZ8+exbt37+B2u/Hp0yfU1tbiwYMHePLkCRYtWoQzZ85A\noVDgwoUL6Orqim/ybTKZePXwD8QrfUREREREgvT390On040q+ABAp9NBp9Ph+PHjOHDgAAwGA96+\nfYvS0lIYjUYAwMDAAGw2Gx4/foyKigp0dnZiwYIFKCkpgdvtxsePH/H06VNcu3YNCoUCJpMJHR0d\n2LJli4imkkAs+oiIiIiIBBp55e3WrVs4d+4cfvz4gdTUVNhsNvT29uL8+fNwu90IhULxz65ZswZK\npRKZmZlIT0+HXq8HAGRkZODLly+4f/8++vv7sXXrVgDAt2/fkJmZObONI1lg0UdEREREJMjSpUvh\n8XgQCASgVqtRXFyM4uJieL1eGI1G1NbWQqPRYP369SgpKcHNmzfjP6tSqeJfK5U/L+tjsRgqKipQ\nWVkJAPD7/Zg1a9b0N4pkh1s2EBEREREJkpWVhdLSUpjNZvj9fgB/F2s9PT1ISUnB3bt3UVNTg02b\nNsHlcsXf/xWrV6+G3W5HMBhENBpFdXU1uru7p60tJF+80kdEREREJFBjYyMuXboEo9EISZIwPDyM\n5cuXo7W1FT09Pdi9ezc0Gg1ycnKQlZUFr9f7S793w4YNePHiBXbu3IlYLIa1a9eirKxsmltDcsSn\ndxIRERERESUx3t5JRERERESUxFj0ERERERERJTEWfUREREREREmMRR8REREREVESY9FHRERERESU\nxFj0ERERERERJTEWfUREREREREmMRR8REREREVES+wt2iHhknlDq6gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1165a7cf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Basic visualization\n",
    "for region in 'midwest west east south'.split():\n",
    "    MMMC.showstats(results[region],description=region,newfig=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here you can see the classic reason to do Monte Carlo samping in the first place: we're absolutely nowhere near fully sampling bracket space. You can tell this from each of the \"Unique brackets over the trajectory\" plots, none of which have leveled out.\n",
    "\n",
    "Further, you can see that the strength distribution in each of the regions is pretty different. Check out the energy distribution histograms for visual proof.\n",
    "\n",
    "### Nice tables\n",
    "\n",
    "And here's our set of tabulated results. Note that things look a little funny for the Final Four: `runbracket2` runs the final four separate from the rest of the tourney. So, only four teams are allowed to have Championship and Win percentages above zero (the final four percentages are taken from the first chunk of the tourney)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<tr><th>Team</th><th>Region</th><th>Rank</th><th>2nd Round</th><th>3rd Round</th><th>Sweet 16</th><th>Elite 8</th><th>Final 4</th><th>Championship</th><th>Win</th></tr>\n",
       "<tr><td>Gonzaga</td><td>west</td><td>1</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td></tr>\n",
       "<tr><td>Villanova</td><td>east</td><td>1</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td><td>51.2</td><td>0.0</td></tr>\n",
       "<tr><td>UCLA</td><td>south</td><td>3</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td><td>48.8</td><td>0.0</td></tr>\n",
       "<tr><td>Kansas</td><td>midwest</td><td>1</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Oregon</td><td>midwest</td><td>3</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Middle Tenn.</td><td>south</td><td>12</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>SMU</td><td>east</td><td>6</td><td>100.0</td><td>100.0</td><td>99.68</td><td>99.68</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>St. Mary's</td><td>west</td><td>7</td><td>100.0</td><td>100.0</td><td>96.86</td><td>96.86</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Arizona</td><td>west</td><td>2</td><td>100.0</td><td>100.0</td><td>3.14</td><td>3.14</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>New Mex. St.</td><td>east</td><td>14</td><td>100.0</td><td>86.52</td><td>0.32</td><td>0.32</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Louisville</td><td>midwest</td><td>2</td><td>100.0</td><td>100.0</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>UNC Wilm.</td><td>east</td><td>12</td><td>100.0</td><td>100.0</td><td>99.95</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>N. Carolina</td><td>south</td><td>1</td><td>100.0</td><td>100.0</td><td>99.86</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Vermont</td><td>midwest</td><td>13</td><td>100.0</td><td>99.01</td><td>96.14</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Duke</td><td>east</td><td>2</td><td>100.0</td><td>100.0</td><td>92.28</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Kentucky</td><td>south</td><td>2</td><td>100.0</td><td>100.0</td><td>88.66</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Princeton</td><td>west</td><td>12</td><td>100.0</td><td>88.52</td><td>63.42</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>FGCU</td><td>west</td><td>14</td><td>100.0</td><td>72.16</td><td>52.25</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Maryland</td><td>west</td><td>6</td><td>100.0</td><td>99.9</td><td>35.8</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>W. Virginia</td><td>west</td><td>4</td><td>100.0</td><td>64.44</td><td>32.04</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Florida St.</td><td>west</td><td>3</td><td>100.0</td><td>27.84</td><td>11.95</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Wichita St.</td><td>south</td><td>10</td><td>100.0</td><td>100.0</td><td>11.34</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>S. Carolina</td><td>east</td><td>7</td><td>100.0</td><td>83.62</td><td>7.66</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Bucknell</td><td>west</td><td>13</td><td>100.0</td><td>35.56</td><td>3.71</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Nevada</td><td>midwest</td><td>12</td><td>100.0</td><td>99.75</td><td>3.45</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Notre Dame</td><td>west</td><td>5</td><td>100.0</td><td>11.48</td><td>0.83</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Purdue</td><td>midwest</td><td>4</td><td>100.0</td><td>0.99</td><td>0.41</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Arkansas</td><td>south</td><td>8</td><td>100.0</td><td>90.96</td><td>0.14</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Marquette</td><td>east</td><td>10</td><td>100.0</td><td>16.38</td><td>0.06</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>ETSU</td><td>east</td><td>13</td><td>100.0</td><td>72.53</td><td>0.05</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Cincinnati</td><td>south</td><td>6</td><td>100.0</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Northwestern</td><td>west</td><td>8</td><td>100.0</td><td>99.58</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Miami FL</td><td>midwest</td><td>8</td><td>100.0</td><td>99.17</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Winthrop</td><td>south</td><td>13</td><td>100.0</td><td>97.75</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Creighton</td><td>midwest</td><td>6</td><td>100.0</td><td>86.41</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Wisconsin</td><td>east</td><td>8</td><td>100.0</td><td>79.7</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Oklahoma St.</td><td>midwest</td><td>10</td><td>100.0</td><td>52.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Michigan</td><td>midwest</td><td>7</td><td>100.0</td><td>48.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Florida</td><td>east</td><td>4</td><td>100.0</td><td>27.47</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Va. Tech</td><td>east</td><td>9</td><td>100.0</td><td>20.3</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Rhode Island</td><td>midwest</td><td>11</td><td>100.0</td><td>13.59</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Baylor</td><td>east</td><td>3</td><td>100.0</td><td>13.48</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Seton Hall</td><td>south</td><td>9</td><td>100.0</td><td>9.04</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Butler</td><td>south</td><td>4</td><td>100.0</td><td>2.25</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Michigan St.</td><td>midwest</td><td>9</td><td>100.0</td><td>0.83</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Vanderbilt</td><td>west</td><td>9</td><td>100.0</td><td>0.42</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Iowa St.</td><td>midwest</td><td>5</td><td>100.0</td><td>0.25</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Xavier</td><td>west</td><td>11</td><td>100.0</td><td>0.1</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>North Dakota</td><td>west</td><td>15</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>VCU</td><td>west</td><td>10</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>S. Dak. St.</td><td>west</td><td>16</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Troy</td><td>east</td><td>15</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>USC</td><td>east</td><td>11</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Virginia</td><td>east</td><td>5</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Mt St Mary's</td><td>east</td><td>16</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Jax. State</td><td>midwest</td><td>15</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Iona</td><td>midwest</td><td>14</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>UC Davis</td><td>midwest</td><td>16</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>N. Kentucky</td><td>south</td><td>15</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Dayton</td><td>south</td><td>7</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Kent St.</td><td>south</td><td>14</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Kansas St.</td><td>south</td><td>11</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Minnesota</td><td>south</td><td>5</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Texas So.</td><td>south</td><td>16</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "</table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "h = HTML(MMMC.maketable(results))\n",
    "h"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Given those concerns, let's just run `runbracket1` and look at the results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Lowest energy bracket\n",
      "Kansas (1)                                                                     \n",
      "UC Davis (16)             Kan (1)                                              \n",
      "Miami FL (8)                                                                   \n",
      "Michigan St. (9)          Mia (8)  Kan (1)                                     \n",
      "Iowa St. (5)                                                                   \n",
      "Nevada (12)               Nev (12)                                             \n",
      "Purdue (4)                                                                     \n",
      "Vermont (13)              Ver (13) Ver (13) Kan (1)                            \n",
      "Creighton (6)                                                                  \n",
      "Rhode Island (11)         Cre (6)                                              \n",
      "Oregon (3)                                                                     \n",
      "Iona (14)                 Ore (3)  Ore (3)                                     \n",
      "Michigan (7)                                                                   \n",
      "Oklahoma St. (10)         Mic (7)                                              \n",
      "Louisville (2)                                                                 \n",
      "Jax. State (15)           Lou (2)  Lou (2)  Ore (3)  Kan (1)                   \n",
      "N. Carolina (1)                                                                \n",
      "Texas So. (16)            N.  (1)                                              \n",
      "Arkansas (8)                                                                   \n",
      "Seton Hall (9)            Ark (8)  N.  (1)                                     \n",
      "Minnesota (5)                                                                  \n",
      "Middle Tenn. (12)         Mid (12)                                             \n",
      "Butler (4)                                                                     \n",
      "Winthrop (13)             Win (13) Mid (12) Mid (12)                           \n",
      "Cincinnati (6)                                                                 \n",
      "Kansas St. (11)           Cin (6)                                              \n",
      "UCLA (3)                                                                       \n",
      "Kent St. (14)             UCL (3)  UCL (3)                                     \n",
      "Dayton (7)                                                                     \n",
      "Wichita St. (10)          Wic (10)                                             \n",
      "Kentucky (2)                                                                   \n",
      "N. Kentucky (15)          Ken (2)  Wic (10) UCL (3)  UCL (3)  UCL (3)          \n",
      "Gonzaga (1)               Gon (1)  Gon (1)  Gon (1)  Gon (1)  Gon (1)  Gon (1) \n",
      "S. Dak. St. (16)                                                               \n",
      "Northwestern (8)          Nor (8)                                              \n",
      "Vanderbilt (9)                                                                 \n",
      "Notre Dame (5)            Pri (12) Pri (12)                                    \n",
      "Princeton (12)                                                                 \n",
      "W. Virginia (4)           W.  (4)                                              \n",
      "Bucknell (13)                                                                  \n",
      "Maryland (6)              Mar (6)  FGC (14) St. (7)                            \n",
      "Xavier (11)                                                                    \n",
      "Florida St. (3)           FGC (14)                                             \n",
      "FGCU (14)                                                                      \n",
      "St. Mary's (7)            St. (7)  St. (7)                                     \n",
      "VCU (10)                                                                       \n",
      "Arizona (2)               Ari (2)                                              \n",
      "North Dakota (15)                                                              \n",
      "Villanova (1)             Vil (1)  Vil (1)  Vil (1)  Vil (1)                   \n",
      "Mt St Mary's (16)                                                              \n",
      "Wisconsin (8)             Wis (8)                                              \n",
      "Va. Tech (9)                                                                   \n",
      "Virginia (5)              UNC (12) UNC (12)                                    \n",
      "UNC Wilm. (12)                                                                 \n",
      "Florida (4)               ETS (13)                                             \n",
      "ETSU (13)                                                                      \n",
      "SMU (6)                   SMU (6)  SMU (6)  SMU (6)                            \n",
      "USC (11)                                                                       \n",
      "Baylor (3)                New (14)                                             \n",
      "New Mex. St. (14)                                                              \n",
      "S. Carolina (7)           S.  (7)  Duk (2)                                     \n",
      "Marquette (10)                                                                 \n",
      "Duke (2)                  Duk (2)                                              \n",
      "Troy (15)                                                                      \n",
      "Total bracket energy: 765.034162875\n",
      "\n",
      "Most common bracket (12)\n",
      "Kansas (1)                                                                     \n",
      "UC Davis (16)             Kan (1)                                              \n",
      "Miami FL (8)                                                                   \n",
      "Michigan St. (9)          Mic (9)  Kan (1)                                     \n",
      "Iowa St. (5)                                                                   \n",
      "Nevada (12)               Iow (5)                                              \n",
      "Purdue (4)                                                                     \n",
      "Vermont (13)              Ver (13) Iow (5)  Kan (1)                            \n",
      "Creighton (6)                                                                  \n",
      "Rhode Island (11)         Rho (11)                                             \n",
      "Oregon (3)                                                                     \n",
      "Iona (14)                 Ion (14) Rho (11)                                    \n",
      "Michigan (7)                                                                   \n",
      "Oklahoma St. (10)         Okl (10)                                             \n",
      "Louisville (2)                                                                 \n",
      "Jax. State (15)           Lou (2)  Okl (10) Rho (11) Kan (1)                   \n",
      "N. Carolina (1)                                                                \n",
      "Texas So. (16)            N.  (1)                                              \n",
      "Arkansas (8)                                                                   \n",
      "Seton Hall (9)            Ark (8)  N.  (1)                                     \n",
      "Minnesota (5)                                                                  \n",
      "Middle Tenn. (12)         Mid (12)                                             \n",
      "Butler (4)                                                                     \n",
      "Winthrop (13)             Win (13) Win (13) N.  (1)                            \n",
      "Cincinnati (6)                                                                 \n",
      "Kansas St. (11)           Cin (6)                                              \n",
      "UCLA (3)                                                                       \n",
      "Kent St. (14)             UCL (3)  Cin (6)                                     \n",
      "Dayton (7)                                                                     \n",
      "Wichita St. (10)          Day (7)                                              \n",
      "Kentucky (2)                                                                   \n",
      "N. Kentucky (15)          Ken (2)  Ken (2)  Ken (2)  N.  (1)  Kan (1)          \n",
      "Gonzaga (1)               Gon (1)  Gon (1)  Gon (1)  Gon (1)  Gon (1)  Gon (1) \n",
      "S. Dak. St. (16)                                                               \n",
      "Northwestern (8)          Nor (8)                                              \n",
      "Vanderbilt (9)                                                                 \n",
      "Notre Dame (5)            Not (5)  W.  (4)                                     \n",
      "Princeton (12)                                                                 \n",
      "W. Virginia (4)           W.  (4)                                              \n",
      "Bucknell (13)                                                                  \n",
      "Maryland (6)              Xav (11) Xav (11) Ari (2)                            \n",
      "Xavier (11)                                                                    \n",
      "Florida St. (3)           Flo (3)                                              \n",
      "FGCU (14)                                                                      \n",
      "St. Mary's (7)            St. (7)  Ari (2)                                     \n",
      "VCU (10)                                                                       \n",
      "Arizona (2)               Ari (2)                                              \n",
      "North Dakota (15)                                                              \n",
      "Villanova (1)             Vil (1)  Vil (1)  Vil (1)  Vil (1)                   \n",
      "Mt St Mary's (16)                                                              \n",
      "Wisconsin (8)             Va. (9)                                              \n",
      "Va. Tech (9)                                                                   \n",
      "Virginia (5)              UNC (12) Flo (4)                                     \n",
      "UNC Wilm. (12)                                                                 \n",
      "Florida (4)               Flo (4)                                              \n",
      "ETSU (13)                                                                      \n",
      "SMU (6)                   USC (11) New (14) Duk (2)                            \n",
      "USC (11)                                                                       \n",
      "Baylor (3)                New (14)                                             \n",
      "New Mex. St. (14)                                                              \n",
      "S. Carolina (7)           S.  (7)  Duk (2)                                     \n",
      "Marquette (10)                                                                 \n",
      "Duke (2)                  Duk (2)                                              \n",
      "Troy (15)                                                                      \n",
      "Total bracket energy: 546.258976178\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/mglerner/coding/MarchMadnessMonteCarlo/Brackets.py:63: RuntimeWarning: overflow encountered in exp\n",
      "  boltzmann_factor = exp(-ediff/T)\n"
     ]
    }
   ],
   "source": [
    "results = MMMC.runbracket1(ntrials=10000,T=25.0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<tr><th>Team</th><th>Region</th><th>Rank</th><th>2nd Round</th><th>3rd Round</th><th>Sweet 16</th><th>Elite 8</th><th>Final 4</th><th>Championship</th><th>Win</th></tr>\n",
       "<tr><td>Gonzaga</td><td>west</td><td>1</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td></tr>\n",
       "<tr><td>Kansas</td><td>midwest</td><td>1</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td><td>99.95</td><td>0.0</td></tr>\n",
       "<tr><td>UCLA</td><td>south</td><td>3</td><td>100.0</td><td>100.0</td><td>0.05</td><td>0.05</td><td>0.05</td><td>0.05</td><td>0.0</td></tr>\n",
       "<tr><td>Villanova</td><td>east</td><td>1</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Middle Tenn.</td><td>south</td><td>12</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td><td>50.04</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Cincinnati</td><td>south</td><td>6</td><td>100.0</td><td>100.0</td><td>99.95</td><td>91.46</td><td>45.12</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Wichita St.</td><td>south</td><td>10</td><td>100.0</td><td>100.0</td><td>68.68</td><td>7.88</td><td>4.79</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Oregon</td><td>midwest</td><td>3</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>St. Mary's</td><td>west</td><td>7</td><td>100.0</td><td>100.0</td><td>99.44</td><td>99.44</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>SMU</td><td>east</td><td>6</td><td>100.0</td><td>100.0</td><td>98.71</td><td>98.71</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>New Mex. St.</td><td>east</td><td>14</td><td>100.0</td><td>87.92</td><td>1.29</td><td>1.29</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Kentucky</td><td>south</td><td>2</td><td>100.0</td><td>100.0</td><td>31.32</td><td>0.61</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Arizona</td><td>west</td><td>2</td><td>100.0</td><td>100.0</td><td>0.56</td><td>0.56</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>UNC Wilm.</td><td>east</td><td>12</td><td>100.0</td><td>100.0</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>N. Carolina</td><td>south</td><td>1</td><td>100.0</td><td>100.0</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Louisville</td><td>midwest</td><td>2</td><td>100.0</td><td>100.0</td><td>99.92</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Vermont</td><td>midwest</td><td>13</td><td>100.0</td><td>100.0</td><td>99.41</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Duke</td><td>east</td><td>2</td><td>100.0</td><td>100.0</td><td>97.49</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Princeton</td><td>west</td><td>12</td><td>100.0</td><td>90.98</td><td>68.43</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>FGCU</td><td>west</td><td>14</td><td>100.0</td><td>68.14</td><td>49.78</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Maryland</td><td>west</td><td>6</td><td>100.0</td><td>99.78</td><td>34.98</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>W. Virginia</td><td>west</td><td>4</td><td>100.0</td><td>61.64</td><td>27.1</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Florida St.</td><td>west</td><td>3</td><td>100.0</td><td>31.86</td><td>15.24</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Bucknell</td><td>west</td><td>13</td><td>100.0</td><td>38.36</td><td>3.07</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>S. Carolina</td><td>east</td><td>7</td><td>100.0</td><td>82.68</td><td>2.51</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Notre Dame</td><td>west</td><td>5</td><td>100.0</td><td>9.02</td><td>1.4</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Nevada</td><td>midwest</td><td>12</td><td>100.0</td><td>100.0</td><td>0.59</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Michigan</td><td>midwest</td><td>7</td><td>100.0</td><td>47.46</td><td>0.08</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Northwestern</td><td>west</td><td>8</td><td>100.0</td><td>99.65</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Winthrop</td><td>south</td><td>13</td><td>100.0</td><td>96.39</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Miami FL</td><td>midwest</td><td>8</td><td>100.0</td><td>96.17</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Creighton</td><td>midwest</td><td>6</td><td>100.0</td><td>86.32</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Wisconsin</td><td>east</td><td>8</td><td>100.0</td><td>84.86</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Arkansas</td><td>south</td><td>8</td><td>100.0</td><td>82.61</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>ETSU</td><td>east</td><td>13</td><td>100.0</td><td>67.88</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Oklahoma St.</td><td>midwest</td><td>10</td><td>100.0</td><td>52.54</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Florida</td><td>east</td><td>4</td><td>100.0</td><td>32.12</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Seton Hall</td><td>south</td><td>9</td><td>100.0</td><td>17.39</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Marquette</td><td>east</td><td>10</td><td>100.0</td><td>17.32</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Va. Tech</td><td>east</td><td>9</td><td>100.0</td><td>15.14</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Rhode Island</td><td>midwest</td><td>11</td><td>100.0</td><td>13.68</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Baylor</td><td>east</td><td>3</td><td>100.0</td><td>12.08</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Michigan St.</td><td>midwest</td><td>9</td><td>100.0</td><td>3.83</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Butler</td><td>south</td><td>4</td><td>100.0</td><td>3.61</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Vanderbilt</td><td>west</td><td>9</td><td>100.0</td><td>0.35</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Xavier</td><td>west</td><td>11</td><td>100.0</td><td>0.22</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Troy</td><td>east</td><td>15</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>USC</td><td>east</td><td>11</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Virginia</td><td>east</td><td>5</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Mt St Mary's</td><td>east</td><td>16</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>North Dakota</td><td>west</td><td>15</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>VCU</td><td>west</td><td>10</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>S. Dak. St.</td><td>west</td><td>16</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>N. Kentucky</td><td>south</td><td>15</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Dayton</td><td>south</td><td>7</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Kent St.</td><td>south</td><td>14</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Kansas St.</td><td>south</td><td>11</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Minnesota</td><td>south</td><td>5</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Texas So.</td><td>south</td><td>16</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Jax. State</td><td>midwest</td><td>15</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Iona</td><td>midwest</td><td>14</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Purdue</td><td>midwest</td><td>4</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Iowa St.</td><td>midwest</td><td>5</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>UC Davis</td><td>midwest</td><td>16</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "</table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "h = HTML(MMMC.maketable(results))\n",
    "h"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That is, indeed, high temperature! Let's try it with a bunch more runs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/mglerner/coding/MarchMadnessMonteCarlo/Brackets.py:63: RuntimeWarning: overflow encountered in exp\n",
      "  boltzmann_factor = exp(-ediff/T)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Lowest energy bracket\n",
      "Kansas (1)                                                                     \n",
      "UC Davis (16)             Kan (1)                                              \n",
      "Miami FL (8)                                                                   \n",
      "Michigan St. (9)          Mia (8)  Kan (1)                                     \n",
      "Iowa St. (5)                                                                   \n",
      "Nevada (12)               Nev (12)                                             \n",
      "Purdue (4)                                                                     \n",
      "Vermont (13)              Ver (13) Ver (13) Kan (1)                            \n",
      "Creighton (6)                                                                  \n",
      "Rhode Island (11)         Cre (6)                                              \n",
      "Oregon (3)                                                                     \n",
      "Iona (14)                 Ore (3)  Ore (3)                                     \n",
      "Michigan (7)                                                                   \n",
      "Oklahoma St. (10)         Mic (7)                                              \n",
      "Louisville (2)                                                                 \n",
      "Jax. State (15)           Lou (2)  Lou (2)  Ore (3)  Kan (1)                   \n",
      "N. Carolina (1)                                                                \n",
      "Texas So. (16)            N.  (1)                                              \n",
      "Arkansas (8)                                                                   \n",
      "Seton Hall (9)            Ark (8)  N.  (1)                                     \n",
      "Minnesota (5)                                                                  \n",
      "Middle Tenn. (12)         Mid (12)                                             \n",
      "Butler (4)                                                                     \n",
      "Winthrop (13)             Win (13) Mid (12) Mid (12)                           \n",
      "Cincinnati (6)                                                                 \n",
      "Kansas St. (11)           Cin (6)                                              \n",
      "UCLA (3)                                                                       \n",
      "Kent St. (14)             UCL (3)  UCL (3)                                     \n",
      "Dayton (7)                                                                     \n",
      "Wichita St. (10)          Wic (10)                                             \n",
      "Kentucky (2)                                                                   \n",
      "N. Kentucky (15)          Ken (2)  Wic (10) UCL (3)  UCL (3)  UCL (3)          \n",
      "Gonzaga (1)               Gon (1)  Gon (1)  Gon (1)  Gon (1)  Gon (1)  Gon (1) \n",
      "S. Dak. St. (16)                                                               \n",
      "Northwestern (8)          Nor (8)                                              \n",
      "Vanderbilt (9)                                                                 \n",
      "Notre Dame (5)            Pri (12) Pri (12)                                    \n",
      "Princeton (12)                                                                 \n",
      "W. Virginia (4)           W.  (4)                                              \n",
      "Bucknell (13)                                                                  \n",
      "Maryland (6)              Mar (6)  FGC (14) St. (7)                            \n",
      "Xavier (11)                                                                    \n",
      "Florida St. (3)           FGC (14)                                             \n",
      "FGCU (14)                                                                      \n",
      "St. Mary's (7)            St. (7)  St. (7)                                     \n",
      "VCU (10)                                                                       \n",
      "Arizona (2)               Ari (2)                                              \n",
      "North Dakota (15)                                                              \n",
      "Villanova (1)             Vil (1)  Vil (1)  Vil (1)  Vil (1)                   \n",
      "Mt St Mary's (16)                                                              \n",
      "Wisconsin (8)             Wis (8)                                              \n",
      "Va. Tech (9)                                                                   \n",
      "Virginia (5)              UNC (12) UNC (12)                                    \n",
      "UNC Wilm. (12)                                                                 \n",
      "Florida (4)               ETS (13)                                             \n",
      "ETSU (13)                                                                      \n",
      "SMU (6)                   SMU (6)  SMU (6)  SMU (6)                            \n",
      "USC (11)                                                                       \n",
      "Baylor (3)                New (14)                                             \n",
      "New Mex. St. (14)                                                              \n",
      "S. Carolina (7)           S.  (7)  Duk (2)                                     \n",
      "Marquette (10)                                                                 \n",
      "Duke (2)                  Duk (2)                                              \n",
      "Troy (15)                                                                      \n",
      "Total bracket energy: 765.034162875\n",
      "\n",
      "Most common bracket (990)\n",
      "Kansas (1)                                                                     \n",
      "UC Davis (16)             Kan (1)                                              \n",
      "Miami FL (8)                                                                   \n",
      "Michigan St. (9)          Mia (8)  Kan (1)                                     \n",
      "Iowa St. (5)                                                                   \n",
      "Nevada (12)               Nev (12)                                             \n",
      "Purdue (4)                                                                     \n",
      "Vermont (13)              Ver (13) Ver (13) Kan (1)                            \n",
      "Creighton (6)                                                                  \n",
      "Rhode Island (11)         Cre (6)                                              \n",
      "Oregon (3)                                                                     \n",
      "Iona (14)                 Ore (3)  Ore (3)                                     \n",
      "Michigan (7)                                                                   \n",
      "Oklahoma St. (10)         Mic (7)                                              \n",
      "Louisville (2)                                                                 \n",
      "Jax. State (15)           Lou (2)  Lou (2)  Ore (3)  Kan (1)                   \n",
      "N. Carolina (1)                                                                \n",
      "Texas So. (16)            N.  (1)                                              \n",
      "Arkansas (8)                                                                   \n",
      "Seton Hall (9)            Ark (8)  N.  (1)                                     \n",
      "Minnesota (5)                                                                  \n",
      "Middle Tenn. (12)         Mid (12)                                             \n",
      "Butler (4)                                                                     \n",
      "Winthrop (13)             Win (13) Mid (12) Mid (12)                           \n",
      "Cincinnati (6)                                                                 \n",
      "Kansas St. (11)           Cin (6)                                              \n",
      "UCLA (3)                                                                       \n",
      "Kent St. (14)             UCL (3)  Cin (6)                                     \n",
      "Dayton (7)                                                                     \n",
      "Wichita St. (10)          Wic (10)                                             \n",
      "Kentucky (2)                                                                   \n",
      "N. Kentucky (15)          Ken (2)  Wic (10) Cin (6)  Cin (6)  Kan (1)          \n",
      "Gonzaga (1)               Gon (1)  Gon (1)  Gon (1)  Gon (1)  Gon (1)  Gon (1) \n",
      "S. Dak. St. (16)                                                               \n",
      "Northwestern (8)          Nor (8)                                              \n",
      "Vanderbilt (9)                                                                 \n",
      "Notre Dame (5)            Pri (12) Pri (12)                                    \n",
      "Princeton (12)                                                                 \n",
      "W. Virginia (4)           W.  (4)                                              \n",
      "Bucknell (13)                                                                  \n",
      "Maryland (6)              Mar (6)  FGC (14) St. (7)                            \n",
      "Xavier (11)                                                                    \n",
      "Florida St. (3)           FGC (14)                                             \n",
      "FGCU (14)                                                                      \n",
      "St. Mary's (7)            St. (7)  St. (7)                                     \n",
      "VCU (10)                                                                       \n",
      "Arizona (2)               Ari (2)                                              \n",
      "North Dakota (15)                                                              \n",
      "Villanova (1)             Vil (1)  Vil (1)  Vil (1)  Vil (1)                   \n",
      "Mt St Mary's (16)                                                              \n",
      "Wisconsin (8)             Wis (8)                                              \n",
      "Va. Tech (9)                                                                   \n",
      "Virginia (5)              UNC (12) UNC (12)                                    \n",
      "UNC Wilm. (12)                                                                 \n",
      "Florida (4)               ETS (13)                                             \n",
      "ETSU (13)                                                                      \n",
      "SMU (6)                   SMU (6)  SMU (6)  SMU (6)                            \n",
      "USC (11)                                                                       \n",
      "Baylor (3)                New (14)                                             \n",
      "New Mex. St. (14)                                                              \n",
      "S. Carolina (7)           S.  (7)  Duk (2)                                     \n",
      "Marquette (10)                                                                 \n",
      "Duke (2)                  Duk (2)                                              \n",
      "Troy (15)                                                                      \n",
      "Total bracket energy: 384.420604791\n",
      "\n"
     ]
    }
   ],
   "source": [
    "results = MMMC.runbracket1(ntrials=100000,T=1.0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<tr><th>Team</th><th>Region</th><th>Rank</th><th>2nd Round</th><th>3rd Round</th><th>Sweet 16</th><th>Elite 8</th><th>Final 4</th><th>Championship</th><th>Win</th></tr>\n",
       "<tr><td>Gonzaga</td><td>west</td><td>1</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td></tr>\n",
       "<tr><td>Kansas</td><td>midwest</td><td>1</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td><td>99.998</td><td>0.0</td></tr>\n",
       "<tr><td>UCLA</td><td>south</td><td>3</td><td>100.0</td><td>100.0</td><td>0.002</td><td>0.002</td><td>0.002</td><td>0.002</td><td>0.0</td></tr>\n",
       "<tr><td>Villanova</td><td>east</td><td>1</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Middle Tenn.</td><td>south</td><td>12</td><td>100.0</td><td>100.0</td><td>100.0</td><td>99.936</td><td>50.964</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Cincinnati</td><td>south</td><td>6</td><td>100.0</td><td>100.0</td><td>99.998</td><td>87.678</td><td>45.325</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Wichita St.</td><td>south</td><td>10</td><td>100.0</td><td>100.0</td><td>75.984</td><td>11.385</td><td>3.709</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Oregon</td><td>midwest</td><td>3</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>SMU</td><td>east</td><td>6</td><td>100.0</td><td>100.0</td><td>99.475</td><td>99.475</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>St. Mary's</td><td>west</td><td>7</td><td>100.0</td><td>100.0</td><td>97.948</td><td>97.948</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Arizona</td><td>west</td><td>2</td><td>100.0</td><td>100.0</td><td>2.052</td><td>2.052</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Kentucky</td><td>south</td><td>2</td><td>100.0</td><td>100.0</td><td>24.016</td><td>0.935</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>New Mex. St.</td><td>east</td><td>14</td><td>100.0</td><td>84.307</td><td>0.525</td><td>0.525</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>N. Carolina</td><td>south</td><td>1</td><td>100.0</td><td>100.0</td><td>99.808</td><td>0.064</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Louisville</td><td>midwest</td><td>2</td><td>100.0</td><td>100.0</td><td>99.887</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>UNC Wilm.</td><td>east</td><td>12</td><td>100.0</td><td>100.0</td><td>99.749</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Vermont</td><td>midwest</td><td>13</td><td>100.0</td><td>98.826</td><td>96.348</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Duke</td><td>east</td><td>2</td><td>100.0</td><td>100.0</td><td>90.506</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Princeton</td><td>west</td><td>12</td><td>100.0</td><td>88.183</td><td>64.744</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>FGCU</td><td>west</td><td>14</td><td>100.0</td><td>72.418</td><td>53.03</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Maryland</td><td>west</td><td>6</td><td>100.0</td><td>99.834</td><td>33.894</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>W. Virginia</td><td>west</td><td>4</td><td>100.0</td><td>65.669</td><td>32.239</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Florida St.</td><td>west</td><td>3</td><td>100.0</td><td>27.582</td><td>13.076</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>S. Carolina</td><td>east</td><td>7</td><td>100.0</td><td>86.258</td><td>9.494</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Nevada</td><td>midwest</td><td>12</td><td>100.0</td><td>99.968</td><td>3.152</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Bucknell</td><td>west</td><td>13</td><td>100.0</td><td>34.331</td><td>2.416</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Notre Dame</td><td>west</td><td>5</td><td>100.0</td><td>11.817</td><td>0.601</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Purdue</td><td>midwest</td><td>4</td><td>100.0</td><td>1.174</td><td>0.5</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>ETSU</td><td>east</td><td>13</td><td>100.0</td><td>69.118</td><td>0.25</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Arkansas</td><td>south</td><td>8</td><td>100.0</td><td>92.536</td><td>0.192</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Michigan</td><td>midwest</td><td>7</td><td>100.0</td><td>51.988</td><td>0.069</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Oklahoma St.</td><td>midwest</td><td>10</td><td>100.0</td><td>48.012</td><td>0.044</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Florida</td><td>east</td><td>4</td><td>100.0</td><td>30.882</td><td>0.001</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Northwestern</td><td>west</td><td>8</td><td>100.0</td><td>99.78</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Miami FL</td><td>midwest</td><td>8</td><td>100.0</td><td>99.562</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Winthrop</td><td>south</td><td>13</td><td>100.0</td><td>98.66</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Creighton</td><td>midwest</td><td>6</td><td>100.0</td><td>87.064</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Wisconsin</td><td>east</td><td>8</td><td>100.0</td><td>81.136</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Va. Tech</td><td>east</td><td>9</td><td>100.0</td><td>18.864</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Baylor</td><td>east</td><td>3</td><td>100.0</td><td>15.693</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Marquette</td><td>east</td><td>10</td><td>100.0</td><td>13.742</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Rhode Island</td><td>midwest</td><td>11</td><td>100.0</td><td>12.936</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Seton Hall</td><td>south</td><td>9</td><td>100.0</td><td>7.464</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Butler</td><td>south</td><td>4</td><td>100.0</td><td>1.34</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Michigan St.</td><td>midwest</td><td>9</td><td>100.0</td><td>0.438</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Vanderbilt</td><td>west</td><td>9</td><td>100.0</td><td>0.22</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Xavier</td><td>west</td><td>11</td><td>100.0</td><td>0.166</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Iowa St.</td><td>midwest</td><td>5</td><td>100.0</td><td>0.032</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Troy</td><td>east</td><td>15</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>USC</td><td>east</td><td>11</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Virginia</td><td>east</td><td>5</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Mt St Mary's</td><td>east</td><td>16</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>North Dakota</td><td>west</td><td>15</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>VCU</td><td>west</td><td>10</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>S. Dak. St.</td><td>west</td><td>16</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>N. Kentucky</td><td>south</td><td>15</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Dayton</td><td>south</td><td>7</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Kent St.</td><td>south</td><td>14</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Kansas St.</td><td>south</td><td>11</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Minnesota</td><td>south</td><td>5</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Texas So.</td><td>south</td><td>16</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Jax. State</td><td>midwest</td><td>15</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Iona</td><td>midwest</td><td>14</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>UC Davis</td><td>midwest</td><td>16</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "</table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "h = HTML(MMMC.maketable(results))\n",
    "h"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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U6/lM5vOR3Paps7OzWrBggVJKqdDQUNWkSRN1//79XM/9Mst8rpexHU2fPl2dOHFCKaVU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\nzOzZs+t0rOr2U7jQ5fZhuP/++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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1164ae828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "MMMC.showstats(results['all'],description='full run',newfig=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Not bad! (Also, note the shape of the energy distribution, and the fact taht the \"Unique brackets\" group is still basically linear!)\n",
    "\n",
    "## Who wins?\n",
    "\n",
    "But let's be honest for a minute. We all know Kansas is going to win. What do the brackets where that happened look like?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "goodbrackets = [i for i in results['all'].brackets if i.bracket[-1][0] == 'Kansas']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/mglerner/coding/MarchMadnessMonteCarlo/Brackets.py:73: RuntimeWarning: overflow encountered in exp\n",
      "  boltzmann_factor = exp(-ediff/T)\n"
     ]
    }
   ],
   "source": [
    "from MarchMadnessMonteCarlo.Brackets import Stats\n",
    "lb, mcb, mcb_count, unique_brackets, lowest_sightings = Stats.gather_uniquestats(goodbrackets)\n",
    "sr = MMMC.SimulationResults(goodbrackets,unique_brackets,lb,lowest_sightings,mcb,mcb_count)\n",
    "trueresults = {'all':sr}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<tr><th>Team</th><th>Region</th><th>Rank</th><th>2nd Round</th><th>3rd Round</th><th>Sweet 16</th><th>Elite 8</th><th>Final 4</th><th>Championship</th><th>Win</th></tr>\n",
       "<tr><td>Kansas</td><td>midwest</td><td>1</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td><td>100.0</td></tr>\n",
       "<tr><td>Gonzaga</td><td>west</td><td>1</td><td>100.0</td><td>58.06207418622256</td><td>35.80620741862226</td><td>22.255866767600303</td><td>11.05223315669947</td><td>5.3368660105980315</td><td>0.0</td></tr>\n",
       "<tr><td>Virginia</td><td>east</td><td>5</td><td>100.0</td><td>53.557910673732025</td><td>29.63663890991673</td><td>16.994700984102952</td><td>8.932626797880394</td><td>5.261165783497351</td><td>0.0</td></tr>\n",
       "<tr><td>Duke</td><td>east</td><td>2</td><td>100.0</td><td>59.5003785011355</td><td>31.30204390613172</td><td>16.994700984102952</td><td>9.159727479182438</td><td>4.996214988644966</td><td>0.0</td></tr>\n",
       "<tr><td>Arizona</td><td>west</td><td>2</td><td>100.0</td><td>58.85692657077971</td><td>30.77214231642695</td><td>17.676003028009085</td><td>8.251324753974261</td><td>4.390613171839515</td><td>0.0</td></tr>\n",
       "<tr><td>Maryland</td><td>west</td><td>6</td><td>100.0</td><td>51.77895533686601</td><td>26.457229371688115</td><td>14.647993943981833</td><td>7.607872823618471</td><td>4.125662376987131</td><td>0.0</td></tr>\n",
       "<tr><td>Florida St.</td><td>west</td><td>3</td><td>100.0</td><td>53.6336109008327</td><td>27.592732778198336</td><td>14.080242240726722</td><td>7.683573050719152</td><td>3.7471612414837243</td><td>0.0</td></tr>\n",
       "<tr><td>Villanova</td><td>east</td><td>1</td><td>100.0</td><td>54.996214988644965</td><td>31.264193792581377</td><td>15.291445874337622</td><td>7.342922028766086</td><td>3.709311127933384</td><td>0.0</td></tr>\n",
       "<tr><td>SMU</td><td>east</td><td>6</td><td>100.0</td><td>50.75700227100681</td><td>27.479182437547312</td><td>14.647993943981833</td><td>7.115821347464043</td><td>3.595760787282362</td><td>0.0</td></tr>\n",
       "<tr><td>St. Mary's</td><td>west</td><td>7</td><td>100.0</td><td>51.70325510976533</td><td>26.07872823618471</td><td>13.512490537471612</td><td>6.888720666161999</td><td>3.4443603330809993</td><td>0.0</td></tr>\n",
       "<tr><td>Florida</td><td>east</td><td>4</td><td>100.0</td><td>51.74110522331567</td><td>27.17638152914459</td><td>14.53444360333081</td><td>7.645722937168811</td><td>3.368660105980318</td><td>0.0</td></tr>\n",
       "<tr><td>W. Virginia</td><td>west</td><td>4</td><td>100.0</td><td>55.29901589704769</td><td>28.274034822104465</td><td>13.550340651021953</td><td>7.040121120363361</td><td>3.368660105980318</td><td>0.0</td></tr>\n",
       "<tr><td>Baylor</td><td>east</td><td>3</td><td>100.0</td><td>53.89856169568509</td><td>27.630582891748674</td><td>13.928841786525359</td><td>6.964420893262679</td><td>3.368660105980318</td><td>0.0</td></tr>\n",
       "<tr><td>Notre Dame</td><td>west</td><td>5</td><td>100.0</td><td>51.96820590461771</td><td>27.592732778198336</td><td>13.133989401968206</td><td>6.737320211960636</td><td>3.330809992429977</td><td>0.0</td></tr>\n",
       "<tr><td>S. Carolina</td><td>east</td><td>7</td><td>100.0</td><td>47.35049205147615</td><td>24.451173353520062</td><td>13.28538985616957</td><td>6.813020439061317</td><td>3.255109765329296</td><td>0.0</td></tr>\n",
       "<tr><td>ETSU</td><td>east</td><td>13</td><td>100.0</td><td>48.25889477668433</td><td>22.10446631339894</td><td>11.847085541256623</td><td>6.245268735806207</td><td>3.217259651778955</td><td>0.0</td></tr>\n",
       "<tr><td>VCU</td><td>west</td><td>10</td><td>100.0</td><td>48.29674489023467</td><td>26.76003028009084</td><td>12.7554882664648</td><td>6.358819076457229</td><td>3.1794095382286147</td><td>0.0</td></tr>\n",
       "<tr><td>Xavier</td><td>west</td><td>11</td><td>100.0</td><td>48.22104466313399</td><td>23.694171082513247</td><td>10.673732021196063</td><td>5.109765329295988</td><td>3.141559424678274</td><td>0.0</td></tr>\n",
       "<tr><td>Wisconsin</td><td>east</td><td>8</td><td>100.0</td><td>49.69719909159728</td><td>23.88342165026495</td><td>11.884935654806965</td><td>5.866767600302801</td><td>3.028009084027252</td><td>0.0</td></tr>\n",
       "<tr><td>Marquette</td><td>east</td><td>10</td><td>100.0</td><td>52.64950794852385</td><td>27.668433005299015</td><td>11.544284632853898</td><td>5.82891748675246</td><td>2.9901589704769114</td><td>0.0</td></tr>\n",
       "<tr><td>Providence</td><td>east</td><td>11</td><td>100.0</td><td>49.24299772899319</td><td>23.20211960635882</td><td>10.787282361847085</td><td>4.882664647993944</td><td>2.952308856926571</td><td>0.0</td></tr>\n",
       "<tr><td>New Mex. St.</td><td>east</td><td>14</td><td>100.0</td><td>46.10143830431491</td><td>21.688115064345194</td><td>11.01438304314913</td><td>5.715367146101438</td><td>2.800908402725208</td><td>0.0</td></tr>\n",
       "<tr><td>Northwestern</td><td>west</td><td>8</td><td>100.0</td><td>49.35654806964421</td><td>23.656320968962905</td><td>10.711582134746404</td><td>5.639666919000757</td><td>2.7252081756245268</td><td>0.0</td></tr>\n",
       "<tr><td>Va. Tech</td><td>east</td><td>9</td><td>100.0</td><td>50.30280090840272</td><td>24.110522331566994</td><td>10.030280090840273</td><td>5.1476154428463285</td><td>2.6873580620741864</td><td>0.0</td></tr>\n",
       "<tr><td>FGCU</td><td>west</td><td>14</td><td>100.0</td><td>46.3663890991673</td><td>22.255866767600303</td><td>9.87887963663891</td><td>5.526116578349735</td><td>2.6495079485238455</td><td>0.0</td></tr>\n",
       "<tr><td>UNC Wilm.</td><td>east</td><td>12</td><td>100.0</td><td>46.442089326267975</td><td>21.082513247539744</td><td>9.689629068887207</td><td>5.071915215745647</td><td>2.5738077214231643</td><td>0.0</td></tr>\n",
       "<tr><td>Princeton</td><td>west</td><td>12</td><td>100.0</td><td>48.03179409538229</td><td>21.95306585919758</td><td>10.143830431491294</td><td>5.299015897047691</td><td>2.3467070401211205</td><td>0.0</td></tr>\n",
       "<tr><td>Vanderbilt</td><td>west</td><td>9</td><td>100.0</td><td>50.64345193035579</td><td>23.012869038607114</td><td>11.544284632853898</td><td>5.0340651021953065</td><td>2.1953065859197576</td><td>0.0</td></tr>\n",
       "<tr><td>Mt St Mary's</td><td>east</td><td>16</td><td>100.0</td><td>45.003785011355035</td><td>20.741862225586676</td><td>9.727479182437547</td><td>4.466313398940197</td><td>2.081756245268736</td><td>0.0</td></tr>\n",
       "<tr><td>Bucknell</td><td>west</td><td>13</td><td>100.0</td><td>44.70098410295231</td><td>22.18016654049962</td><td>9.197577592732777</td><td>4.352763058289175</td><td>2.043906131718395</td><td>0.0</td></tr>\n",
       "<tr><td>S. Dak. St.</td><td>west</td><td>16</td><td>100.0</td><td>41.93792581377744</td><td>17.524602573807723</td><td>9.462528387585163</td><td>4.4284632853898565</td><td>1.514004542013626</td><td>0.0</td></tr>\n",
       "<tr><td>Troy</td><td>east</td><td>15</td><td>100.0</td><td>40.4996214988645</td><td>16.578349735049205</td><td>7.7971233913701745</td><td>2.800908402725208</td><td>1.3626040878122634</td><td>0.0</td></tr>\n",
       "<tr><td>North Dakota</td><td>west</td><td>15</td><td>100.0</td><td>41.14307342922029</td><td>16.389099167297502</td><td>6.7751703255109765</td><td>2.9901589704769114</td><td>1.2112036336109009</td><td>0.0</td></tr>\n",
       "<tr><td>Kentucky</td><td>south</td><td>2</td><td>100.0</td><td>59.76532929598789</td><td>31.33989401968206</td><td>19.076457229371687</td><td>11.695685087055262</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>N. Carolina</td><td>south</td><td>1</td><td>100.0</td><td>54.20136260408781</td><td>30.12869038607116</td><td>15.594246782740349</td><td>8.932626797880394</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>UCLA</td><td>south</td><td>3</td><td>100.0</td><td>54.6555639666919</td><td>27.252081756245268</td><td>14.875094625283875</td><td>8.062074186222558</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Minnesota</td><td>south</td><td>5</td><td>100.0</td><td>52.34670704012112</td><td>27.857683573050718</td><td>15.556396669190008</td><td>7.872823618470855</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Wichita St.</td><td>south</td><td>10</td><td>100.0</td><td>49.886449659348976</td><td>26.79788039364118</td><td>14.080242240726722</td><td>7.418622255866768</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Seton Hall</td><td>south</td><td>9</td><td>100.0</td><td>51.47615442846328</td><td>26.457229371688115</td><td>13.058289174867525</td><td>6.4723694171082515</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Arkansas</td><td>south</td><td>8</td><td>100.0</td><td>48.52384557153672</td><td>23.694171082513247</td><td>12.26343679031037</td><td>6.245268735806207</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Butler</td><td>south</td><td>4</td><td>100.0</td><td>51.589704769114306</td><td>25.548826646479938</td><td>13.247539742619228</td><td>6.018168054504163</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Middle Tenn.</td><td>south</td><td>12</td><td>100.0</td><td>47.65329295987888</td><td>24.98107494322483</td><td>11.127933383800151</td><td>5.942467827403482</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Kansas St.</td><td>south</td><td>11</td><td>100.0</td><td>50.03785011355034</td><td>24.86752460257381</td><td>12.036336109008326</td><td>5.488266464799395</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Cincinnati</td><td>south</td><td>6</td><td>100.0</td><td>49.96214988644966</td><td>25.927327781983347</td><td>12.301286903860712</td><td>5.261165783497351</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Dayton</td><td>south</td><td>7</td><td>100.0</td><td>50.113550340651024</td><td>23.656320968962905</td><td>10.673732021196063</td><td>4.693414080242241</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Texas So.</td><td>south</td><td>16</td><td>100.0</td><td>45.79863739591219</td><td>19.71990915972748</td><td>8.591975775927327</td><td>4.352763058289175</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Kent St.</td><td>south</td><td>14</td><td>100.0</td><td>45.3444360333081</td><td>21.95306585919758</td><td>9.576078728236185</td><td>4.239212717638153</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Winthrop</td><td>south</td><td>13</td><td>100.0</td><td>48.410295230885694</td><td>21.61241483724451</td><td>10.56018168054504</td><td>3.785011355034065</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>N. Kentucky</td><td>south</td><td>15</td><td>100.0</td><td>40.23467070401211</td><td>18.205904617713852</td><td>7.3807721423164265</td><td>3.5200605601816806</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Louisville</td><td>midwest</td><td>2</td><td>100.0</td><td>54.769114307342925</td><td>30.431491294473883</td><td>14.761544284632853</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Oregon</td><td>midwest</td><td>3</td><td>100.0</td><td>54.54201362604088</td><td>28.99318697956094</td><td>14.269492808478425</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Creighton</td><td>midwest</td><td>6</td><td>100.0</td><td>51.0219530658592</td><td>26.646479939439818</td><td>13.209689629068887</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Rhode Island</td><td>midwest</td><td>11</td><td>100.0</td><td>48.9780469341408</td><td>24.110522331566994</td><td>13.020439061317184</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Oklahoma St.</td><td>midwest</td><td>10</td><td>100.0</td><td>50.56775170325511</td><td>25.435276305828918</td><td>12.717638152914459</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Michigan</td><td>midwest</td><td>7</td><td>100.0</td><td>49.43224829674489</td><td>24.224072672218018</td><td>12.679788039364118</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Iona</td><td>midwest</td><td>14</td><td>100.0</td><td>45.45798637395912</td><td>20.24981074943225</td><td>9.992429977289932</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Jax. State</td><td>midwest</td><td>15</td><td>100.0</td><td>45.230885692657075</td><td>19.90915972747918</td><td>9.34897804693414</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Purdue</td><td>midwest</td><td>4</td><td>100.0</td><td>53.82286146858441</td><td>26.7221801665405</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Iowa St.</td><td>midwest</td><td>5</td><td>100.0</td><td>48.18319454958365</td><td>26.343679031037095</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Nevada</td><td>midwest</td><td>12</td><td>100.0</td><td>51.81680545041635</td><td>24.753974261922785</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Vermont</td><td>midwest</td><td>13</td><td>100.0</td><td>46.17713853141559</td><td>22.18016654049962</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Michigan St.</td><td>midwest</td><td>9</td><td>100.0</td><td>50.378501135503406</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>Miami FL</td><td>midwest</td><td>8</td><td>100.0</td><td>49.621498864496594</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "<tr><td>N.C. Cent</td><td>midwest</td><td>16</td><td>100.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td><td>0.0</td></tr>\n",
       "</table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "h = HTML(MMMC.maketable(trueresults))\n",
    "h"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Kansas (1)                                                                     \n",
       "N.C. Cent (16)            Kan (1)                                              \n",
       "Miami FL (8)                                                                   \n",
       "Michigan St. (9)          Mic (9)  Kan (1)                                     \n",
       "Iowa St. (5)                                                                   \n",
       "Nevada (12)               Nev (12)                                             \n",
       "Purdue (4)                                                                     \n",
       "Vermont (13)              Ver (13) Ver (13) Kan (1)                            \n",
       "Creighton (6)                                                                  \n",
       "Rhode Island (11)         Rho (11)                                             \n",
       "Oregon (3)                                                                     \n",
       "Iona (14)                 Ore (3)  Ore (3)                                     \n",
       "Michigan (7)                                                                   \n",
       "Oklahoma St. (10)         Mic (7)                                              \n",
       "Louisville (2)                                                                 \n",
       "Jax. State (15)           Lou (2)  Mic (7)  Ore (3)  Kan (1)                   \n",
       "N. Carolina (1)                                                                \n",
       "Texas So. (16)            N.  (1)                                              \n",
       "Arkansas (8)                                                                   \n",
       "Seton Hall (9)            Set (9)  Set (9)                                     \n",
       "Minnesota (5)                                                                  \n",
       "Middle Tenn. (12)         Mid (12)                                             \n",
       "Butler (4)                                                                     \n",
       "Winthrop (13)             Win (13) Mid (12) Set (9)                            \n",
       "Cincinnati (6)                                                                 \n",
       "Kansas St. (11)           Kan (11)                                             \n",
       "UCLA (3)                                                                       \n",
       "Kent St. (14)             UCL (3)  UCL (3)                                     \n",
       "Dayton (7)                                                                     \n",
       "Wichita St. (10)          Wic (10)                                             \n",
       "Kentucky (2)                                                                   \n",
       "N. Kentucky (15)          Ken (2)  Wic (10) UCL (3)  Set (9)  Kan (1)          \n",
       "Gonzaga (1)               Gon (1)  Van (9)  W.  (4)  VCU (10) Flo (4)  Kan (1) \n",
       "S. Dak. St. (16)                                                               \n",
       "Northwestern (8)          Van (9)                                              \n",
       "Vanderbilt (9)                                                                 \n",
       "Notre Dame (5)            Not (5)  W.  (4)                                     \n",
       "Princeton (12)                                                                 \n",
       "W. Virginia (4)           W.  (4)                                              \n",
       "Bucknell (13)                                                                  \n",
       "Maryland (6)              Xav (11) Xav (11) VCU (10)                           \n",
       "Xavier (11)                                                                    \n",
       "Florida St. (3)           Flo (3)                                              \n",
       "FGCU (14)                                                                      \n",
       "St. Mary's (7)            VCU (10) VCU (10)                                    \n",
       "VCU (10)                                                                       \n",
       "Arizona (2)               Ari (2)                                              \n",
       "North Dakota (15)                                                              \n",
       "Villanova (1)             Vil (1)  Vil (1)  Flo (4)  Flo (4)                   \n",
       "Mt St Mary's (16)                                                              \n",
       "Wisconsin (8)             Va. (9)                                              \n",
       "Va. Tech (9)                                                                   \n",
       "Virginia (5)              UNC (12) Flo (4)                                     \n",
       "UNC Wilm. (12)                                                                 \n",
       "Florida (4)               Flo (4)                                              \n",
       "ETSU (13)                                                                      \n",
       "SMU (6)                   SMU (6)  New (14) Mar (10)                           \n",
       "Providence (11)                                                                \n",
       "Baylor (3)                New (14)                                             \n",
       "New Mex. St. (14)                                                              \n",
       "S. Carolina (7)           Mar (10) Mar (10)                                    \n",
       "Marquette (10)                                                                 \n",
       "Duke (2)                  Duk (2)                                              \n",
       "Troy (15)                                                                      \n",
       "Total bracket energy: -1.3913000000000002"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sr.most_common_bracket"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sr.most_common_bracket_count"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Huh. Well, that's not exactly my pick for best bracket, but there you have it.\n",
    "\n",
    "Excersizes for the reader:\n",
    "\n",
    " * make a better energy function, using maybe a weighted average of different rankings. I slurped in KenPom and Jeff Sagarin, but you could add your own. \n",
    " * come up with a better \"hometown wins\" version. E.g. explicitly check for KU, and tweak the rankings."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from MarchMadnessMonteCarlo import RankingsAndStrength as RAS\n",
    "strength = RAS.kenpom['Pyth']\n",
    "jsstrength = RAS.sagarin['Rating']\n",
    "\n",
    "def weighted_KU_energy_game(winner, loser):\n",
    "    if winner == 'Kansas':\n",
    "        win_pct = 0.99\n",
    "    elif loser == 'Kansas':\n",
    "        win_pct = 0.01\n",
    "    else:\n",
    "        A,B = strength[winner],strength[loser]\n",
    "        # see http://207.56.97.150/articles/playoff2002.htm\n",
    "        kenpom = (A-A*B)/(A+B-2*A*B)\n",
    "        A,B = jsstrength[winner]/100, jsstrength[loser]/100\n",
    "        A,B = min(A,0.9999),min(B,0.9999)\n",
    "        sagarin = (A-A*B)/(A+B-2*A*B)\n",
    "        win_pct = 0.70*kenpom + 0.30*sagarin\n",
    "    return -win_pct\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "MMMC.set_energy_function(weighted_KU_energy_game)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "results = MMMC.runbracket1(ntrials=100000,T=1.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "MMMC.showstats(results['all'],description='full run',newfig=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "h = HTML(MMMC.maketable(results))\n",
    "h"
   ]
  },
  {
   "cell_type": "markdown",
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