{ "metadata": { "name": "", "signature": "sha256:ce31f25fcd873d7b36f72cb59a4144a14c92dcaee1a11479b4f8a643bf6ae913" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Now that you've done a decent job of getting the basic n-gram model down, you'll want to work on the offsets so things actually sound thoughtful, and not just a long stream of notes. To do this, import the data (experiment first with small # of notes, say 100) and then run KMean Clustering to find patterns. Actually, it might be useful to plot stuff first - that way you get an idea of how much notes are separated from one another.\n", "\n", "For the offsets, you'll assume that notes only come at 0.25, 0.50, etc. instead of weird numbers like 0.682 or 1.537. This is from rounding the numbers in the N-Gram notebook." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "\n", "from collections import Counter, defaultdict\n", "from sklearn.cluster import KMeans\n", "from itertools import izip\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "import numpy as np\n", "import sys, copy, random" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "# Read in the data and generate the offsets.\n", "# It's okay to generate offsets here since are trigram notes.\n", "# Recall: len = how long note lasts, offset = when it's hit (e.g. stopwatch).\n", "numberofitems = 12345678910112\n", "data = pd.read_csv('./oscar2trigrams.txt', names=['Note','Len'])\n", "\n", "# toggle if want to limit to first k items\n", "numberofitems = 50\n", "data = data[:numberofitems]\n", "\n", "# Re-add offsets\n", "totaloffset = 0\n", "offsets = []\n", "for i in data['Len']:\n", " offsets.append(totaloffset)\n", " totaloffset += i\n", "data[\"Offset\"] = pd.Series(offsets)\n", "print \"Shape: (%s,%s)\" % (data.shape)\n", "data.head()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Shape: (50,3)\n" ] }, { "html": [ "
\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
NoteLenOffset
0 D5 0.25 0.00
1 E4 0.25 0.25
2 C#5 0.50 0.50
3 A5 0.50 1.00
4 F4 0.50 1.50
\n", "

5 rows \u00d7 3 columns

\n", "
" ], "metadata": {}, "output_type": "pyout", "prompt_number": 2, "text": [ " Note Len Offset\n", "0 D5 0.25 0.00\n", "1 E4 0.25 0.25\n", "2 C#5 0.50 0.50\n", "3 A5 0.50 1.00\n", "4 F4 0.50 1.50\n", "\n", "[5 rows x 3 columns]" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, let's see what our data looks like. For each note, we'll plot len (y axis) over offset (x axis)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Plot the length over offset.\n", "# *args is some (n, 2) array you want to plot\n", "def plotTiming(data, labels=None, clustercenters=None):\n", " numberofitems = len(data)\n", " \n", " # generate colors\n", " clusterCodes = dict()\n", " if labels is not None:\n", " for i in labels:\n", " r = lambda: random.randint(0,255)\n", " clusterCodes[i] = ('#%02X%02X%02X' % (r(),r(),r())).lower()\n", " \n", " # Initialize the graph\n", " dx = data['Offset']\n", " dy = data['Len']\n", " dn = data['Note']\n", " plt.plot(dx, dy, 'm.--', linewidth=1.5)\n", " for ix, (x, y) in enumerate(zip(dx, dy)):\n", " color = 'ko'\n", " if labels is not None:\n", " color = clusterCodes[labels[ix]]\n", " plt.plot(x, y, 'x', ms=15, mew=1.5, color=color)\n", " continue\n", " plt.plot(x, y, color)\n", "\n", " # plot the cluster centers if available\n", " if clustercenters is not None:\n", " for currColorIx, i in enumerate(clustercenters):\n", " cx = i[0]\n", " cy = i[1]\n", " color = clusterCodes[currColorIx]\n", " plt.plot(cx, cy, 'ko', mew=0, ms=7.5) # plot black. same color: color=color\n", " \n", " # plot the ticks if under certain # of points\n", " if numberofitems <= 100:\n", " plt.xticks(range(0, int(max(dx)) + 1))\n", "\n", " # Annotate with note data only if under certain # of points\n", " # (Otherwise, it gets too messy!)\n", " if numberofitems <= 100 and labels is None:\n", " for note, offset, length in izip(dn, dx, dy):\n", " plt.annotate(note, xy=(offset, length), color='g')\n", "\n", " # Enter title\n", " plt.title('Generated N-Grams', fontsize=20, horizontalalignment='center')\n", " \n", " # set fig limits, size, and other display things\n", " fig = plt.gcf()\n", " ax = plt.gca()\n", " plt.ylim([0, max(dy)+ 0.25])\n", " plt.xlim([min(dx) - 1, max(dx) + 1])\n", " plt.ylabel('Duration', fontsize=16)\n", " plt.xlabel('Offset', fontsize=16)\n", " plt.grid()\n", " fig = plt.gcf()\n", " fig.set_size_inches(18, 6)\n", " # plt.xkcd()\n", " ax.xaxis.grid(False)\n", " \n", "plotTiming(data)\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAABB4AAAGOCAYAAAAw+MDXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nHgAAAAAAgGX+BxnLJVRhOp6OAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "It looks like we've got quite a few clusters! But be careful: those outliers with a higher length, for example, should really go with the previous notes (since length is the value that comes after). Also, remember that a bunch of notes all together do NOT mean that the notes are all the same -- it means the lengths are the same. Let's do some clustering and create a function to print the results: i.e. the different clusters in different colors (even just alternating between two of them)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's do another visualization: where the notes appear on the keyboard (x axis) by where they are in the piece (offset, y axis ascending). For this, we need to add another column to the dataframe, and write a function to assign a note a numberical value." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Given a note, such as C5 or D#7, convert it\n", "# into a note on the keyboard between 0 and 87 inclusive.\n", "# Don't convert it for mingus; try to use music21 note style\n", "# as much as possible for all this stuff.\n", "def quantify(note):\n", " notevals = {\n", " 'C' : 0,\n", " 'D' : 2,\n", " 'E' : 4,\n", " 'F' : 5,\n", " 'G' : 7,\n", " 'A' : 9,\n", " 'B' : 11\n", " }\n", " quantized = 0\n", " octave = int(note[-1]) - 1\n", " for i in note[:-1]:\n", " if i in notevals:\n", " quantized += notevals[i]\n", " if i == '-':\n", " quantized -= 1\n", " if i == '#':\n", " quantized += 1\n", " quantized += 12 * octave\n", " return quantized\n", " \n", "quantizednotes = [quantify(i) for i in data['Note']]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "# Plot the notes as played by MIDI.\n", "def plotMIDI(data, quantizednotes):\n", " # Initialize the graph\n", " dy = data['Offset']\n", " dn = data['Note']\n", " dx = quantizednotes\n", " print len(dx), len(dy)\n", " plt.plot(dx, dy, 'm.--', linewidth=1.5)\n", " for x, y in zip(dx, dy):\n", " plt.plot(x, y, 'ko')\n", "\n", " # Plot the ticks\n", " plt.xticks(range(0, 87))\n", " plt.yticks(range(0, int(max(dy)+1)))\n", "\n", " # Annotate with note data\n", " for note, nx, ny in izip(dn, dx, dy):\n", " plt.annotate(note, xy=(nx, ny), color='g')\n", "\n", " # Set xticks on top\n", " fig = plt.gcf()\n", " ax = plt.gca()\n", "\n", " # Set fig limits, size, and other display things\n", " max_xax = 18\n", " max_yax = 12\n", " # max_yax = len(data) / 10\n", " fig = plt.gcf()\n", " fig.set_size_inches(max_xax, max_yax)\n", " plt.ylim([-1, max(dy) + 1])\n", " plt.title('Generated N-Grams', fontsize=20, horizontalalignment='center')\n", " plt.ylabel('Offset', fontsize=16)\n", " plt.xlabel('Keyboard', fontsize=16)\n", " plt.grid()\n", " ax.yaxis.grid(False)\n", " \n", "plotMIDI(data, quantizednotes)\n", "plt.show()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "50 50\n" ] }, { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAABCAAAALgCAYAAABF1AbrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAD73H8T6Vvio0ORLAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ah, now we're in shape to do some clustering! We can cluster based on offset alone, or maybe also on where things are on the keyboard. Actually, let's try both: we can feed this 2-dimensional vector to KMeans, and see how things turn out." ] }, { "cell_type": "code", "collapsed": false, "input": [ "notesX = data[\"Offset\"].reshape(-1, 1)\n", "notesY = data[\"Len\"].reshape(-1, 1)\n", "notesXY = np.concatenate((notesX, notesY), axis=1)\n", "notenames = np.array([i for i in data[\"Note\"]])\n", "km = KMeans(n_clusters=int(np.sqrt(len(notesX) / 2)))\n", "km.fit(notesXY)\n", "plotTiming(data, labels=km.labels_, clustercenters=km.cluster_centers_)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAABB4AAAGOCAYAAAAw+MDXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xl8VNX9//H3ncm+J2QlCYQdRATZBRVccKnFqqBo68LS\nrwut+9IFREAt1loLarUugFqta63Yn2Jbq6JWQURQcGEPJDBZIATInszc3x80KSGTzCRk5mZmXs/H\ng8fDe+fOve87dybO+cw55xqmaZoCAAAAAADwAZvVAQAAAAAAQPCi8AAAAAAAAHyGwgMAAAAAAPAZ\nCg8AAAAAAMBnKDwAAAAAAACfofAAAAAAAAB8hsIDAACwVF5ennr16mV1DAAA4CMUHgAAIWnLli26\n7bbbNHz4cKWkpCgiIkLdunXT2LFjdeedd+rLL7+0OqJlnn32WdlsNj333HN+O6ZhGF5vm5eXJ5vN\npoSEBJWUlLjdZuLEibLZbNqxY0eH8uzZs0d33323TjnlFKWmpioiIkJJSUkaPny4fvazn2nVqlUd\n2i8AAKGIwgMAIOQsWLBAgwYN0uLFi2W323XFFVfoF7/4ha666ipFR0fr0Ucf1ciRI/X4449bHdVS\n7SkG+FNjroqKCt1zzz0et2uvp556Sn379tX999+vQ4cOacqUKfrFL36hmTNnKjMzU88//7zOOOMM\n3XXXXR3aPwAAoSbM6gAAAPjTggULtGDBAvXo0UMvvfSSTjnllBbblJaWavHixTp06JAFCbsO0zSt\njuBWY66+ffvqmWee0c0336yBAwe2ul17PP/887r++uuVkpKiV199VZMnT26xzeHDh/Xkk0+qoKCg\n/eEBAAhB9HgAAISMHTt26L777lNkZKRWrlzptuggSWlpabr//vt15513tnisqqpKixYt0rBhwxQX\nF6f4+HiNGzdOL7/8cottP/zwQ9lsNi1YsEAbNmzQBRdcoKSkJMXGxmrixIn67LPP3B6/oaFBjz/+\nuMaOHauEhATFxsZq+PDh+uMf/9iiMZ2fny+bzaYZM2Zoy5YtmjZtmtLT02W325uGA6xbt04333yz\nhg4dqm7duik6Olr9+/fXHXfcofLy8mb7mzhxombOnClJmjFjhmw2W9O/3bt3dyhjo8cee0yDBw9W\ndHS0cnJydOONN+rgwYNut/XEMAwtWrRITqez03oeHDx4ULfccosMw9Arr7zituggSfHx8brjjjv0\n8MMPN1s/f/582Ww2rVq1Sn/5y180ZswYxcXFNZu/4tlnn9WUKVPUu3dvxcTEKDExUaeeeqpefPFF\nt8dqHDLS0NCghQsXqk+fPoqOjtbAgQP19NNPN233+OOPa8iQIYqJiVFubq7mz5/v9jq89dZbOuus\ns5SVlaWoqChlZ2dr4sSJeuKJJzrykgEA4BV6PAAAQsby5cvldDp1+eWXa9CgQR63t9vtzZbLy8t1\n5plnasOGDRoxYoRmzZoll8uld999Vz/+8Y/1zTff6N57722xny+++EIPPvigxo0bp2uvvVa7du3S\nX//6V5111lnasGGD+vfv37RtfX29Jk+erH/+858aOHCgrrzySkVFRen999/XjTfeqDVr1uj5559v\ncYzt27dr7NixGjBggK666ipVV1crMTFRkvT000/rzTff1MSJE3XOOefI5XLpiy++0MMPP6yVK1dq\nzZo1iouLk3Sk2JCcnKwVK1booosu0rBhw5qO0bi/jmS8+eab9eijj6p79+667rrrFBYWphUrVmjN\nmjWqr69XZGSkx+txrIsuukinn366/t//+3/68MMPNXHixHbv42ivv/66ysvLNX78eJ111lketz/2\n/dHo97//vf71r3/pwgsv1FlnndWsuDJ79mydeOKJmjhxorKysrRv3z698847uuqqq7R582YtXLjQ\n7T6nTZumzz//XBdccIHCw8P12muv6brrrpPdbtdXX32lF198UZMnT9akSZO0YsUKLVy4UDExMc2K\nMk899ZSuv/56ZWVl6Uc/+pFSU1NVUlKir776Ss8++6xuuOGGdr5iAAB4yQQAIEScccYZpmEY5rJl\nyzr0/GuuucY0DMP83e9+12x9TU2Ned5555k2m83csGFD0/oPPvjANAzDNAzDfO6555o958knnzQN\nwzBnz57dbP0999xjGoZh3nTTTabL5Wpa73Q6zVmzZpmGYZgrVqxoWr9z586mY8yZM8dt7l27djXb\nV6OlS5eahmGYv/3tb5utX758udvMHc34n//8xzQMw+zXr5954MCBZq/bKaecYhqGYfbq1cvtsdzp\n2bOnabPZTKfTaa5du9a02WzmyJEjm20zYcIE0zAMc/v27V7vd8aMGaZhGOa8efO8fs7RGl+XuLi4\nZu+Do+3YsaPFurq6OvOss84yw8PDzT179jR7rPE8Ro8ebR48eLDZfiIiIsyEhASzd+/e5t69e5se\nKy8vN1NTU820tDSzoaGhaf3w4cPNqKgos7S0tEWG/fv3t/t8AQDwFkMtAAAho6ioSJKUnZ3d4rH8\n/HzNnz+/2b8lS5Y0Pb5//3698MILGjVqlO64445mz42MjNQDDzwg0zT1l7/8pcW+Tz31VF199dXN\n1s2cOVN2u11r165tWudyufToo48qKytLf/jDH5pNjmiz2fTQQw/JMAy33fIzMzNbnWixR48ebida\nnDFjhuLj4/XPf/7T7fPc6UjG5cuXS5LmzJmjpKSkpvWRkZFatGiR18d2Z+TIkZo2bZrWrVvX6nAF\nb7X1/jh48GCL98eCBQvc7ufaa6/V0KFD3T7m7rah4eHhmj17thoaGvTvf//b7fMeeOABJSQkNNvP\n+PHjdfjwYd19993KyspqeiwxMVE//OEPtW/fPu3du7fZfux2u8LCWnZ4TUlJcXtcAAA6A0MtAADQ\nkcLDsd3ce/bsqZtvvlmStHbtWrlcLklHxvIfq76+XpL03XfftXhs5MiRLdaFhYUpIyNDBw4caFq3\nZcsWHThwQP369Wu1y31UVJTbYwwdOlTh4eFun1NfX68nn3xSL7/8sr799lsdOnSo6VykI7eO9FZH\nMn755ZcyDEMTJkxose348eNlsx3f7yCLFi3S3/72N82ZM0dTp05tddjG4sWLW8xpcfHFF7daJDja\ngQMHtHDhQhmG0WzuBHfFntGjR7e6n927d+u3v/2t/v3vf6ugoEDV1dXNHj+2UCAdmc/C3Xuoe/fu\nkqQRI0a0eKyxeFJYWKjc3FxJ0pVXXqnbb79dJ5xwgi6//HKdfvrpGj9+vNLS0lrNCwBAZ6DwAAAI\nGZmZmfr+++/dNrQnTpzY1Bh3Op0KDw9v9mv+/v37JR0pQBzdS+FohmGosrKyxfqjf+U/WlhYmJxO\nZ4tjbN26tdVGfWvHyMzMdLu9dGR+gDfffFN9+vTRxRdfrMzMTEVGRso0TS1evFi1tbWtPvdYHcnY\nOMdBRkZGi23DwsKUmprq9fHd6dmzp2688UY99NBDWrJkSauTTS5ZskS7du1qlrN3795NhYfG19Dd\n+yMvL69ZsSYnJ0cOh8PtcVq7Fjt27NDo0aNVXl6u008/Xeedd54SExNlt9u1c+dOPffcc61ei/j4\n+BbrGnsuNM694e6xxoKYJN16661KTU3V448/rkceeUSLFy9uKgj97ne/c1vAAACgMzDUAgAQMk49\n9VRJarU7eyPTzd0AGht3t912m1wul9t/TqfT477b0niMSy65pM1jbN++vcVz3Q2lkI5MbPnmm29q\n0qRJ2rx5s5YuXar7779f8+bN07x589pVdOhoxsbnNA5lOFpDQ4P27dvXrgzuzJkzRykpKVq0aFFT\nceRYO3fubJHz6CEw3r4/PGntWjz88MMqKyvTsmXL9P7772vx4sVasGCB5s2bp3POOee4jumtq666\nSp999pn279+vt99+W7NmzdJHH32kc889t1OuAwAA7lB4AACEjOnTpyssLEyvv/66vv/++3Y9d8yY\nMbLZbProo498lE4aNGiQkpKS9Nlnn6mhoaFT9rlt2zZJ0oUXXthiSMOaNWtUU1PT4jmNd2s4ujfG\n8WQcMWKETNNsur3n0T755JNmPQk6KjExUXfffbcOHjzY6twLnkydOlVJSUn69NNP9f777x93pmNt\n27ZNhmFoypQpLR5z99r4UmJios4//3w99dRTmj59usrKyvTxxx/7NQMAIHRQeAAAhIzevXtr7ty5\nqqur0/nnn6/PPvvM7XbHzgMgSWlpafrJT36iL774Qvfdd5/bxvL27duVn5/f4Xx2u1033nijHA6H\nbrrpJrdFAYfD4XaOh9Y0Tmb4wQcfNFtfUlKin/3sZ26f061bN0lqNizheDJOnz5dknT//fc3m9Oi\npqZGv/rVr7w+F09mz56tPn366Mknn3Sb3ZOEhAQtXrxYknTZZZfp7bffdrtdVVVVsyEM3urVq5dM\n02xxLf7xj3/omWeeaff+2uvY4zYqLi6WJMXExPg8AwAgNDHHAwAgpMybN0+maeree+/V+PHjNWLE\nCI0aNUopKSkqLy9Xfn6+3nvvPRmGodNPP73Zcx977DFt3bpV8+bN05///GeNHz9eGRkZ2rt3r777\n7jt98cUXevnll5WXl9fhfHfffbe++uor/elPf9Lf//53nXHGGcrOzlZJSYm2bt2qTz/9VL/5zW80\naNAgr/Y3atQojR8/Xm+88YbGjx+v8ePHq7i4WO+++64GDhyo7t27txhaMm7cOMXExGjx4sXav39/\n09wMN910kxISEtqdcdy4cbrxxhv16KOP6sQTT9SUKVMUHh6uFStWqFu3bsrKynI7vKUt7rYPDw/X\nokWLdNlll3Wo8CBJV199tWpra3XTTTdp8uTJGjRokMaNG6f09HRVVFSosLBQ//znP1VZWel2ssy2\nzJ49W8uXL9ell16qqVOnKisrS5s2bdI//vEPXXbZZXrllVe8PteOuPjiixUfH6+xY8eqZ8+eMk1T\nH3/8sb744guNHDlSZ599dqccBwCAFqy5iycAANbavHmzeeutt5rDhg0zk5KSzPDwcLNbt27m6NGj\nzdtuu81cv3692+fV1dWZjz32mDlu3DgzMTHRjIyMNHv27GmeffbZ5pIlS8z9+/c3bfvBBx+YhmGY\nCxYscLuvvLw8s1evXm4f+/Of/2yeddZZZkpKihkREWHm5OSYp512mrlo0SKzsLCwabudO3eahmGY\nM2bMaPVcy8rKzNmzZ5t5eXlmVFSU2bdvX3POnDlmVVVVqxneffdd85RTTjHj4uJMwzBMm81m7tq1\nq0MZGz322GPmoEGDzMjISDM7O9v8+c9/bh48eLDN18GdvLw802azmU6n0+3j48aNa8q8fft2r/d7\ntMLCQnPOnDnmmDFjzJSUFDM8PNxMSkoyhw0bZt5www3mRx991OI58+fPN202m7lq1apW9/vpp5+a\nZ555ppmcnGzGx8ebp512mrlixQrzww8/dPtemThxommz2dzua/r06W6vS2tZ/vSnP5kXX3yx2bt3\nbzMmJsZMSUkxhw8fbv7ud78zKyoqvH1pAABoN8M0O6mMDgAAAAAAcAzmeAAAAAAAAD5D4QEAAAAA\nAPgMhQcAAAAAAOAzAXNXC8MwrI4AAAAAAADcaGv6yIDq8WCaZkD8u+eeeyzPQFbr/wVSXrKSNZCy\nBlpespI1kLIGWl6ykjWQsgZaXrKStT3/PAmowgMAAAAAAAgsFB4AAAAAAIDP2OfPnz/f6hDeWLBg\ngQIkqiQpLy/P6gheI6vvBFJesvoGWX0nkPKS1TfI6juBlJesvkFW3wmkvGT1jUDK6i1P7XXD9GZA\nRhdgGIZXY0cAAAAAAID/eGqvM9QCAAAAAAD4DIUHAAAAAADgMxQeAAAAAACAz1B4AAAAAAAAPkPh\nAQAAAAAA+AyFBwAAAAAA4DMUHgAAAAAAgM9QeAAAAAAAAD5D4QEAAAAAAPgMhQcAAAAAAOAzFB4A\nAAAAAIDPUHgAAAAAAAA+Q+EBAAAAAAD4DIUHAAAAAADgMxQeAAAAAACAz1B4AAAAAAAAPkPhAQAA\nAAAA+AyFBwAAAAAA4DMUHgAAAAAAgM9QeAAAAAAAAD5D4QEAAAAAAPgMhQcAAAAAAOAzFB4AAAAA\nAIDPUHhAwCpbd1imabbrOaZpqmzdYR8lAgAAAAAci8IDAlLZusPaOH+ntj/j8Lr4YJqmtj/j0Mb5\nOyk+AAAAAICfUHhAQEoeHqfsC1O15619XhUfGosOe97ap+wLU5U8PM5PSQEAAAAgtIVZHQDoCMMw\n1OenWZKkPW/tkyT1+WmWDMNose2xRYfWtgMAAAAAdD4KDwhY3hQfKDoAAAAAgLV8PtSioKBAZ5xx\nhgYPHqwTTzxRjzzyiNvtbrrpJvXr109Dhw7V+vXrfR0LQaKx+OBu2AVFBwAAAACwns97PISHh+sP\nf/iDhg0bpoqKCo0YMUKTJk3SoEGDmrZ55513tG3bNm3dulVr1qzRDTfcoNWrV/s6GoJEaz0fKDoA\nAAAAgPV8XnjIzMxUZmamJCkuLk6DBg3S3r17mxUe3nrrLV1zzTWSpDFjxqi8vFzFxcXKyMjwdTwE\niWOLD40FiKxzUyg6AAAAAICF/DrHQ35+vtavX68xY8Y0W79nzx7l5uY2Lefk5KiwsLBF4WH69OnK\ny8uTJCUlJWnYsGGaOHGiJOnDDz+UJJZDfHnCTydoz1v7tGH/WklSt1VjZPw8p8vkY5lllllmmWWW\nWWaZZZZZDvTlxYsXa8OGDU3tc08M09N9CDtJRUWFJk6cqLlz5+qiiy5q9tjkyZP1y1/+UuPHj5ck\nnX322XrwwQc1fPjw/wU1DI+3TERoO3pOh0ZpYxI0aE5PejwAAAAAgI94aq/b/BGivr5eU6ZM0ZVX\nXtmi6CBJ2dnZKigoaFouLCxUdna2P6IhSBxddMg6N0XJksydNSpdc6jZhJMAAAAAAP/yeeHBNE3N\nmjVLJ5xwgm655Ra321x44YV6/vnnJUmrV69WUlIS8zvAa8fevaLfz7J10t9PUkrvKNmK61rc7QIA\nAAAA4D8+H2rxySef6PTTT9dJJ53U1N39N7/5jXbv3i1Juu666yRJP//5z/Xuu+8qNjZWy5cvbzbM\nQmKoBdxr65aZ+97ap00/2qRuv8xV2aZK7m4BAAAAAD7gqb3utzkejheFBxyrraKDJJkNpj7L/Uxx\no+IUMzmVW2sCAAAAgA94aq/79a4WQGfxVHSQJCPMUK/7e8kea1faZWmS1DTxJMUHAAAAAPAPCg8I\nSAe+rGiz6FD8QrHCksOUNTOraV2fnx757z1v7VPK8HiljIj3a2YAAAAACEUMtUDAKlt3WMnD49z2\nXPh88OeKHRSrwa8PbrbeNE0d+LKCogMAAAAAdBKGWiBotVU8cFW6ZItpedMWwzAoOgAAAACAH/n8\ndpqAFZxVTtlj7VbHAAAAAICQR+EBQclZ2bLw4KxwylnttCgRAAAAAIQmCg8IOqbLlKuq+VCLmt01\n+jTrUxU/X2xhMgAAAAAIPRQeEHRMp6mcW3KUOC6xaV1kbqSiekXJsdRhYTIAAAAACD3c1QIho3BJ\nobbdsk0jvx6puCFxVscBAAAAgKDgqb1OjweEjIwrM2REGCpaWmR1FAAAAAAIGRQeEDLCu4Ur9aJU\nFf25SK5al9VxAAAAACAkhFkdAPCn7td2l1xSw4EGRWRGWB0HAAAAAIIeczwAAAAAAIAOY44HhJzq\nbdUq+EOB6krqrI4CAAAAACGPwgOCTsWGCm2/bbvqS+qtjgIAAAAAIY/CA4KOs9IpSbLF8PYGAAAA\nAKvRMkPQaSw82GPtHrdl3hAAAAAA8C0KDwg6rqojt8r01ONh87Wb9f3V3/sjEgAAAACELAoPCDpN\nPR5i2u7xYI+xq+TVEtXvZy4IAAAAAPAVCg8IOgljEpRza44Mu9HmdpmzMmXWmSp+odhPyQAAAAAg\n9BhmgAxy93RfUKAj1o1eJ1e1SyO/HinDaLtQAQAAAABoyVN7nR4PCGlZs7JUualSh9cetjoKAAAA\nAAQlCg8IaemXpysiI0LVW6qtjgIAAAAAQYmhFgh5ZoMpI4xhFgAAAADQEQy1ADyg6AAAAAAAvkPh\nAUGn6Lki7Vuxz+oYAAAAAABReEAQKnioQEXPF1kdAwAAAAAgCg8IQs5Kp+wxdqtjAAAAAABE4QFB\nyFnplD22/YWH8lXl+mbqN3LVu3yQCgAAAABCE4UHBB1XlUu2mPa/tRsONqj0r6UqW1nmg1QAAAAA\nEJooPCComKbZ4R4P3X7QTRGZEXIsdfggGQAAAACEJgoPCC4uKffOXCWeltjupxphhjKvyVTZ22Wq\nddT6IBwAAAAAhB7DNE3T6hDeMAxDARIVAaxqS5U+H/C5ei/qrR6/7GF1HAAAAADo8jy11+nxABwl\npn+MEk9L1P6391sdBQAAAACCAj0egGPUFtYqPCNctnDqcgAAAADgiaf2OoUHAAAAAADQYQy1AAAA\nAAAAlqHwgKBStbVKux/crbqiOqujAAAAAABE4QFBpvLrSu34xQ7VlVB4AAAAAICugMIDgoqz0ilJ\nssfaj39fFU7teWyPKr+rPO59AQAAAECoovCAoOKqckmSbDHH/9Z21bq07fZt2vunvce9LwAAAAAI\nVRQeEFQ6s8dDeLdwpV6UquIXiuWqdR33/gAAAAAgFFF4QFBxVv238BBz/IUHScqalaWGsgbte3Nf\np+wPAAAAAEINhQcElYSxCcq9K1dGmNEp+0s+O1mRPSLlWOrolP0BAAAAQKgxTNM0rQ7hDcMwFCBR\nEWTy5+crf2G+xuaPVVSPKKvjAAAAAECX4qm9TuEB8KB2b62qt1cr8dREGUbn9KQAAAAAgGBB4QEA\nAAAAAPiMp/Y6czwAAAAAAACfofAAAAAAAAB8hsIDgopjqUOlr5daHQMAAAAA8F8UHhBUChcXqvjF\nYp/tv6agRofWHPLZ/gEAAAAg2IRZHQDoTM4qp+yxdp/t/9tLv5Wz0qmRX4/kDhcAAAAA4AV6PCCo\nuCpdssX67m2dOSNTlZsqdXjtYZ8dAwAAAACCCYUHBBVnpVP2GN/1eEi/PF22aJscSx0+OwYAAAAA\nBBMKDwgapmn6fKhFWGKY0i5NU8lLJXJWOn12HAAAAAAIFhQeEDxcUs9f91TSxCSfHiZrVpach53c\nPQMAAAAAvGCYpmlaHcIbhmEoQKIiyJmmqV337lL65emK6R9jdRwAAAAAsJSn9jqFBwAAAAAA0GGe\n2usMtQAAAAAAAD5D4QEAAAAAAPgMhQcAAAAAAOAzFB4QNKq2VGnXfbtU66j163Frdtf49XgAAAAA\nEEgoPCBoVG6q1M67d6q+pN5vxyx8tFBreq/xe7EDAAAAAAIFhQcEDVeVS5Jkj7X77Zgp56bIdJoq\nfq7Yb8cEAAAAgEBC4QFBw1nplCTZYvz3to7pH6PE0xLlWObgdq8AAAAA4IbPW2gzZ85URkaGhgwZ\n4vbxDz/8UImJiTr55JN18skn67777vN1JASpxsKDP3s8SFLWrCxVb63WwY8P+vW4AAAAABAIfF54\nmDFjht599902t5kwYYLWr1+v9evXa+7cub6OhCDVONTCnz0eJCltaprs8XY5ljr8elwAAAAACARh\nvj7Aaaedpvz8/Da3oYs6OkPCuAT1+HUP2cL9W3iwx9qVe3uu3wseAAAAABAIfF548MQwDH366aca\nOnSosrOz9dBDD+mEE06wOhYCUPKZyUo+M9mSY+fdk2fJcQEAAACgq7O88DB8+HAVFBQoJiZGK1eu\n1EUXXaQtW7a43Xb69OnKy8uTJCUlJWnYsGGaOHGipCNzRUhimWWWWWaZZZZZZplllllmmWWWfbi8\nePFibdiwoal97olh+mGcQ35+viZPnqyNGzd63LZXr15at26dUlJSmq03DIMhGQAAAAAAdDGe2us2\nP2Zxq7i4uCng559/LtM0WxQdAAAAAABAYPL5UIsrrrhCq1at0r59+5Sbm6sFCxaovr5eknTdddfp\n9ddf1xNPPKGwsDDFxMTo5Zdf9nUkwKdM05RckmE3rI4CAAAAAJbzy1CLzsBQC3iy98m9CksMU/rl\n6ZZlqNldo68mfaVeC3spfZp1OQAAAADAX7r8UAugs+z54x6VvFxiaYbInEi5alxyLHVYmgMAAAAA\nugoKDwgariqXbLHWvqUNm6GsGVk68N4B1eyqsTQLAAAAAHQFFB4QNJyVTtlj7VbHUOaMTElS0fIi\ni5MAAAAAgPUoPCBoOKucssdYX3iI6hml5LOT5VjukOlkXhIAAAAAoY3CA4KCaZpyVVo/1KJR1qws\nhaeEq66ozuooAAAAAGAp7mqBoGC6TO26b5cST01U8pnJVseRaZoyDG6nCQAAACD4eWqvU3gAAAAA\nAAAdxu00AQAAAACAZSg8AAAAAAAAn6HwAAAAAAAAfIbCA+Bj+QvztXPuTqtjAAAAAIAlKDwgKFRt\nqdLOe3aqdk+t1VFaqNlRo8JHCuWsdFodBQAAAAD8jsIDgkLlN5XatXCX6kvrrY7SQuasTDkPO1X6\neqnVUQAAAADA7yg8ICi4Kl2SJFtM13tLJ56aqOj+0XIsdVgdBQAAAAD8ruu10oAOcFYdGcZgj7Vb\nnKQlwzCUNTNLBz8+qKotVVbHAQAAAAC/ovCAoNA4f0JXLDxIUuY1mTLCDJV/UG51FAAAAADwqzCr\nAwCdoSsPtZCkiMwInVJ4iiIyIqyOAgAAAAB+1TVbaUA7JZ6eqLx78mSL6LpvaYoOAAAAAEKRYZqm\naXUIbxiGoQCJCgAAAABAyPDUXvd6qMX27dv16quvqqCgQDU1NS0eX7ZsWccSAgAAAACAoOVV4eHN\nN9/UpZdeKtM0lZ6ersjIyKbHTNOUYRg+CwgAAAAAAAKXV0MthgwZoqysLL344otKS0vzR64WGGqB\nYFGxsUIlL5Wo1/29KNoBAAAACHie2utezcS3Y8cO3X777ZYVHYBgUrG+QrsX7dbBjw9aHQUAAAAA\nfM6rwsOAAQO0f/9+X2cBOmzPE3tU/EKx1TG8kjY1TfYEuxxLHVZHAQAAAACf86rw8OCDD+o3v/mN\ntm/f7uur9b0bAAAgAElEQVQ8QIc4nnSo9PVSq2N4xR5jV8YVGSp9rVQNBxusjgMAAAAAPuXV5JIL\nFixQWVmZTjjhBPXr108pKSlNjzVOLvnRRx/5LCTgibPSKVuMV3W0LiFzVqb2PrlXJS+XqPt13a2O\nAwAAAAA+41XhwW63a8CAAa1OFsEEebCas8ope6zd6hheix8Zr9ghsSp6rojCAwAAAICg5lXh4cMP\nP/RxDOD4uCpdAdXjwTAMDXx2oCJzIj1vDAAAAAABzKvCA9DVOSsDq8eDJMUPj7c6AgAAAAD4nNc/\nEe/du1e33367Ro4cqd69e2vUqFG68847VVRU5Mt8gEemaSpvYZ5SzknxvDEAAAAAwK8Ms7WJG46y\nZcsWnXrqqSovL9f48eOVkZGhoqIiffrpp0pOTtYnn3yifv36+TaoYbQ6xwQAAAAAALCGp/a6V4WH\niy++WJs2bdK//vUv5eXlNa3ftWuXJk2apMGDB+tvf/tbpwRuDYUHAAAAAAC6nk4pPCQlJemJJ57Q\nFVdc0eKxl156STfccIPKy8uPL6kHFB4QrEynqQP/OqDYIbGKzGaySQAAAACBxVN73as5Hurq6hQf\n734ivLi4ONXV1XUsHQDV7qnV1z/4Wo6nHVZHAQAAAIBO51XhYejQoXr00UflcrmarXe5XHriiSc0\nbNgwn4QDQkFUjyglT0qWY7lDppNePQAAAACCi1e307znnnt0wQUXaNCgQZo2bZqysrJUVFSkV199\nVVu3btXbb7/t65xAq6q+r1LRc0XqPru7onKjrI7TIVmzsvTttG914N8HuDsHAAAAgKDi1RwPkvTu\nu+9q7ty5Wr9+vUzTlGEYGjFihO69916de+65vs7JHA9o1b4392nTxZs04ssRij/Z/ZCgrs5V69Jn\n2Z8p6awkDX5lsNVxAAAAAMBrntrrXvV4kKTzzjtP5513niorK3XgwAElJycrNja2U0ICx8NZ5ZQk\n2WPsFifpOFukTRlXZmjPE3tUv79e4d3CrY4EAAAAAJ3C68JDo9jYWAoO6FKclf8tPMQGbuFBkrrf\n0F2xJ8XKFu3V1CsAAAAAEBBaLTwsXLhQP/3pT9W9e3ctWLBAhmG0uaN58+Z1ejjAG66qI5Oe2mID\nu8EeMyBGMQNirI4BAAAAAJ2q1TkebDabVq9erdGjR8tm89ygO/aOF52NOR7Qml2/2aWdc3bq9JrT\nZYsM7OIDAAAAAASaDs/xcHQhwddFBeB4JE1IUq/7esmIaLtXDgAAAADA/7y6q8Xu3buVmZmpiIiI\nFo/V19fL4XCoR48ePgnYiB4PAAAAAAB0PZ7a6171S8/Ly9OGDRvcPvbVV1+pV69eHUsHwC1XjUvV\nO6utjgEAAAAAx63dd7U4Vn19vceJJwG0z/oJ62WLsOnkj0+2OgoAAAAAHJdWCw8HDhzQgQMHmrpL\nFBYWKjU1tdk2VVVVev7555WZmenblECISbs4TTt+tUNVm6u40wUAAACAgNZq4WHJkiVauHBh0/LU\nqVNb3cn8+fM7NRQQ6jKuydDOuTtVtLxIvR/obXUcAAAAAOiwVieX3LBhQ9O8DjNnztTcuXPVu3fz\nBlBkZKQGDx6sk046yfdBmVwSrSh8tFBh8WHKnB5cPW82/mijDn9+WKcUnCIjjOFMAAAAALqmDt9O\nc9iwYRo2bFjT8g9/+MMWQy2ArqBoWZEicyODrvCQNStL+9/ar/3v7FfqhXz2AAAAAAQmryaXnD59\nuo9jAB3nrHTKHmu3Okan6/aDbsq4MkPhaeFWRwEAAACADvP6rhabNm3SM888oy1btqimpqZpvWma\nMgxD77//vk8CAp44K52yxXh1Z9iAYoQZGvTnQVbHAAAAAIDj4lXhYc2aNTr99NPVq1cvbdmyRUOH\nDlVZWZkKCgqUnZ2tvn37+jon0CpXlSsoezwAAAAAQDDw6mfiX//617rkkku0adMmSdIzzzyjXbt2\n6b333pPL5dLdd9/t05BAW4J1qAUAAAAABAOvCg9ff/21rrrqKhnGkZn1XS6XJOnMM8/U3Llz9atf\n/cp3CYE2mKap3ot6K+X8FKujAAAAAADc8GqoRV1dnWJjY2W325WSkiKHw9H0WP/+/bVx40afBQTa\nYhiGcm/PtTqGX7hqXbJFBt9cFgAAAACCm1etmD59+mjXrl2SpCFDhmjp0qVyOp1yOp169tlnlZkZ\nXLcxBLoaxzKHPu3+qRoONlgdBQAAAADaxavCw+TJk/XRRx9JkubMmaOVK1cqMTFRycnJevHFF3Xb\nbbf5NCQQ6mJPjFVDWYNKXiqxOgoAAAAAtIthmqbZ3id9+eWX+utf/6qqqiqdf/75Ouecc3yRrRnD\nMNSBqEBQME1TX5z0hWxRNo1YO8LqOAAAAADQxFN73WPhob6+Xu+8846GDBmi3r17d3pAb1F4QKgr\nXFKobbds08ivRirupDir4wAAAACAJM/tdY9DLcLCwnTppZc2zfEAdCVV31dp+x3bVbOrxuooPpdx\nZYaMCENFy4qsjgIAAAAAXvNYeDAMQ71791ZJCWPL0fVUbalSwe8LVL+/3uooPhfeLVwZP86wOgYA\nAAAAtItXk0vedddduv/++yk+oMtxVjolSfYYu8VJ/GPAsgHqu7iv1THgB5t2l7Z7eJlpmtq0u9RH\niYDQVLr6kw59FktXf+KjRAAABJ4wbzb64IMPVFZWpt69e2vs2LHKysqSYRjNtnn++ed9EhBoi6vS\nJUmyxXpVQwt4x37uEJw27S7V4rfX6uwheZo2fpBX1900Tb3yn+/03sZ83XLBKJ3YI80PSYHgVrr6\nE629bbbyLvuJBt18l9efxe+WPKj8V1/UqIcfV9rYU/2QFACArs2rwsPHH3+s8PBwpaamatu2bdq+\nfXvTY6Zp0hiCZZxVodXjAaFhcG6qzh6Sp/c25kuSx+LD0UWHs4fkaXBuqp+SAsEtdcx45V32E+W/\n+qIkeSw+HF10yLvsJ0odM95fUQEA6NK8Kjzk5+f7OAbQMU1DLWIpPCB4GIahaeMHSZLH4sOxRQdv\ne0gA8MwwDA26+S5J8lh8OLbo4G0PCQAAQoFXhQegq0o+I1nGA4aMSL7cIbh4U3yg6AD4njfFB4oO\nAAC0zavCw+7duz1u06NHD7frZ86cqbffflvp6enauHGj221uuukmrVy5UjExMXr22Wd18sknexML\nUMLYBCWMTbA6ht/V7qnV5v/brJxbc5QyKcXqOPCRtooPFB0A/2mr+EDRAQAAz7wqPOTl5bld3/g/\nXMMw5HQ63W4zY8YM3Xjjjbr66qvdPv7OO+9o27Zt2rp1q9asWaMbbrhBq1ev9i49EKLCU8N1aM0h\nOZ52UHgIcq0VHyg6AP7VWvGBogMAAJ55VXhYtmxZi3X79+/X22+/rZ07d2ru3LmtPve0005rc46I\nt956S9dcc40kacyYMSovL1dxcbEyMjK8iQaEJFukTRlXZmjvE3tVv69e4anhVkeCDx1bfGgsQJzZ\nvwdFB8CPji0+NBYgevzoxxQdAABog1eFh+nTp7tdf/vtt+vKK6/Uzp07Oxxgz549ys3NbVrOyclR\nYWGh28LD9OnTm3pfJCUladiwYZo4caIk6cMPP5QkllkOmeXqk6oVXR+t4heKtW3YNsvzsOz75WkT\nJui9jflybPlaknTSBz1knGV0mXwssxwKy6tWrZI5dLT036LD1wcrVLwyQyf+wugS+VhmmWWWWWbZ\nH8uLFy/Whg0bWh0dcSzDNE3Tqy1b8e6772rGjBlyOBytbpOfn6/Jkye7neNh8uTJ+uUvf6nx44/c\ncurss8/Wgw8+qOHDhzcP+t9hHQD+Z93odXJVuzTy65H80hbkjp7TodGZ/XvoijMHc+0BPzp6TodG\nPX70Yw2+6xd8FgEAIctTe912vAcoLS1VTU1Nh5+fnZ2tgoKCpuXCwkJlZ2cfbyyEiII/FGjv03ut\njmGZrFlZqt1bq7o9dVZHgQ8dXXSY2CNHP5kdrYHvh+n9Lbv1yn++oygL+MnRRYeM4Zco+rMlCnNM\n0O4Vf9F3Sx7kswgAQCu8Gmrx0UcftVhXV1enjRs3atGiRTrttNM6HODCCy/UY489pssvv1yrV69W\nUlIS8zvAa8UvFCuye6S6/193q6NYIvOaTGVOz5Qt8rhriOiijr17xQUJuVqnMk1O7ansIQ2t3moT\nQOc69u4VqTkz9O0fv1V4/iVKn5be6q02AQCAl4WHxnEc7kyYMEFPPPFEq49fccUVWrVqlfbt26fc\n3FwtWLBA9fX1kqTrrrtOP/jBD/TOO++ob9++io2N1fLly9t3BghprkqX7LF2q2NYxhZFwSGYubtl\nZvW2amVcmaHs2dnqf2KsDBkUHwAfa+2WmWmuNJn1pozwiYpYEkHxAQCAVng1x0PjRBJHi4qKUs+e\nPZWVleWLXC0wxwPc+Sz3MyVPStbAZQOtjgJ0KndFB3cNGW+3A9AxrRUdOrodAADByFN73aseD2PG\njNG6devkcDhkGIaysrI0bNgwRUVFdVpQoCOcVc6Q7vGA4NSeYsKxt9qU6PkAdJb2FBOOvdWmRM8H\nAAAatVl4qKmp0V133aWnn35atbW1zR6Ljo7W9ddfr0WLFikiIsKnIYHWuCpdssUw3ADB5ZuCfe3q\nwXBs8eHEHmk6sUeaP6ICQW3fmv+0qwfDscWHtLHjlTb2VH9EBQCgS2tzqMWkSZP0/vvv60c/+pHO\nP/989ejRQ6ZpqqCgQG+//bb+/ve/65xzztHKlSt9H5ShFjiGaZra8+gexQ+PV+KpiVbHsVzRs0Vy\n1brU/brQnGgz2GzaXarBuakeGzq1e2tVtblKyWckyzRNfVOwj6ID0IlKV3+i1DHj29VzwTRN7Vvz\nH4oOAICQ4am93mrh4bXXXtMVV1yhV199VZdcconbJ//1r3/VtGnT9Morr2jKlCmdk7i1oBQegDZt\nvHCjDn9+WGMLxsoWTi+QULHpok06tPoQ1x3wI9M0VVtQq4jMCNkijnzuil8q1uHPD6vvH/panA4A\nAP/z1F5v9VvqSy+9pEsvvbTVooMkTZkyRVOnTtVf/vKX40sJ4LhlzcpSXXGdyt4pszoKfKjo2SId\n/Oxg03LmzEyuO+BnzgqnVvdcrcIlhU3rqr6rUuGSQtXsqrEwGQAAXVOrhYf169frggsu8LiDH/7w\nh1q3bl2nhgLQfik/SFFEZoQcSx1WR4EPbb1xq0pfKW1a7vaDblx3wM/qHHWSpMisyKZ1mTMyJfNI\ncRAAADTXauGhtLRUPXv29LiDHj16qKSkpFNDAWg/W7hNmddkquydMtU6aj0/AQHHWeGUs8KpiKz/\nTehrhBlcd8DPGgsPR38Wo3tFK/nsZBUtL5LpYmgoAABHa7XwUFVVpcjIyNYebhIREaGaGroVAl1B\n5sxMmU5Tpa+Wet4YAaeuqGVjR/rfdS9+rtiKWEDIaSo8ZDb/LGbNylLNrhod+PcBK2IBANBltXk7\nzcLCQqWmpra5gz179nRqIMBbld9Vau+f9irnlhxF94q2Ok6XENM/RsNXD1f8qHiro8AHGns0HFt4\niOkfoz4P91HKpBQrYgEhp7UiYOpFqQpLDtP+t/bzeQQA4ChtFh6mTp3qrxxAu1Vvq9aeR/Yo86pM\nqZfVabqOhDEJVkeAj7gbV94o99Zcf8cBQpZpmorMjVRYcvOvUbYom0asHaGoXlEWJQMAoGtqtfCw\nbNkyr3fSnntbA53FVemSJNliuYUgQkNUzyhlXZulyBzPw+AA+E7urbmtFvui+9ADDwCAY7VaeJg+\nfbofYwDt56xySpLssXaLkwD+kTAmgR4tAAAACDj8VIyA5az8b+EhhsIDAAAAAHRVFB4QsFxVDLVo\nS11RnRzLHVbHgAWqd1RbHQEAAABoQosNASv5rGT1ebiPbFG8jd0peaVEm2duVsXGCqujwI9KXi7R\nmj5rVPE11x2wUl1xnXYt2tU0LBAAgFBGiw0BK35kvHJvzWVy01ZkXJkhI8JQ0dIiq6PAj5InJcuI\nMORYSm8XwBec1U5VflspZ3XbBYWq76q089c7Vfp6qZ+SAQDQdVF4AIJUeLdwpV6UqqI/F8lV67I6\nDo6Tq96lXYt2qWJD2z0ZGq978QvFXHfAByq/rtTawWt14L0DbW6XOCFR0X2iKQICACAKD0BQy5qV\npYayBu17c5/VUXCc6ovrtfPXO3Xo80Met+W6A75T56iTJEVmtX1bW8MwlDkrUwc/OqiqrVX+iAYA\nQJdF4QEIYslnJyuyRyS/uAWBWketJCkiK8Ljtlx3wHfqio4UHrz5LGZekynZpKJlDHkDAIS2MKsD\nAPAdw2ao/+P9FZHh+QsyurbGX1kjMj1fS8NmqMddPVRfWi/TNJkHBehEtY5ayZBXf1cju0eq2w+6\nqei5IvW6t5eMMD6LAIDQROEBAavgoQLZYmzKnp1tdZQurdsF3ayOgE7Q+Curp+7djbJ/xucC8IU6\nR53C08K9LiL0ureXJFF0AACENIZaIGAVv1Ss/W/vtzoG4Bd1jjrJkMIzwq2OAoS0sKQwxY+M93r7\nuGFxihsW58NEAAB0ffR4QMByVblkj7VbHQPwi4RTEtTjVz1kC6deDFipz4N9rI4AAEDA4RssApaz\n0knhASEj5ZwU9b6/t9UxAASJssINMk2zXc8xTVNlhRuC4vi+EqznFaw+r23o0PX6vLbBR4n8L5Be\ng0DKipYoPCBgOSudssXwFm6Pqq1Vaijnj2+oMU1TZkP7/kcNIHiVFW7Q1/94QNvXPO/1l3jTNLV9\nzfP6+h8PHHcj2erj+0qwnlew+ry2Qb86WKXHK2rbdb0er6jVrw5WBUVjNpBeg0DKCvdotSFgMdSi\nfaq3V+vz/p+r6Dlu6xZKGsobtHbwWu15bI/VUYCQV/ldpaq3VVsdQ8nZQ5Uz+HwVfrPSq0ZyY+O4\n8JuVyhl8vpKzhwb08X0lWM8rWI2KsOuS6Ai9UV3nVWO2sRH7RnWdLomO0KiIwP8OGkivQSBlhXvM\n8YCA1efhPoobyoRd3oruE634UfFyLHUo+6ZsbrEYIsKSwmSPsx+57jdz3QGrOKud+nLMl0qbkqaB\nywdamsUwDPUZc7UkqfCblZKkPmOudvv34djGcWvbBdLxfSVYzytYGYah2XFH7hT1RvWRO0fNjots\n9Xod3YhtbbtAE0ivQSBlhXsUHhCwsm/gdoHtlTUrS1uu36LDXxxWwqgEq+PAT5qu+9rDShjNdQc6\nqq6kTrW7axV7YqxsUe3rNGqPtiv98nQVv1isvkv6KizB2q9g3jSSfdk4tvr4vhKs5xWsvGnMBnsj\nNpBeg0DKipYYagGEkPTL02WLtsnxjMPqKGiHmoIa7bx7Z4e7aDdd96Vcd+B4lL1TpnWj1ql2T22H\nnp81K0uuKpdKXinp5GQd09hIdjc8wB+NY6uP7yvBel7BqrEx664bf6g0YgPpNQikrGiOHg9ACAlL\nDFPapWkqealEfR/uyxwZAaLquyrtum+Xks9JVnTf6HY/n+sOdI5ax5GCQ0RmRIeeHz86XrGDY1W0\ntEjd/697Z0brsNZ+ofdX49jq4/tKsJ5XsGrtl/RQasQG0msQSFnxPxQegBCTPTtbkdmRctUxOWeg\nqCs68j/VyKzIDu8ja1aWKtZVqGZ3jWIHxXZWNCCk1DnqZI+3d/hvp2EYypyVqe23bVflpkrFntg1\nPovHNpIbG8rd+57rl8ax1cf3lWA9r2B1bGO2sUF7kS0sZBqxgfQaBFJWHEHhAQgxCWMSlDCGcf6B\npM5x5H+mHf2VVZIST0vUyI0j+R8xcBzqiuoUkdXxz6EkZV6VqYbyBoWnhndSqs7R2EhubBxLUt0f\nR8mY8L+/GbWOWhU8VNDiuRGZEepxZ48W69uzvWEYyukxrc3jByJvXld0HY2N2cZGrCSdMXunjFcH\nW5jKvwLpNQikrKDwgABV+V2l9jy6R7m35yq6T/u7ngOBpM5RJ3ucXfa4jvdQoeAAHL86R91x9TyS\npPDUcPVa0KuTEnWexrkHjhbxs7UyzcFNfz8aDjTI8VTLuWJiBsW4LTy0Z3vTNLVz/QvN1oVd+3mz\n4wcid69rMJxXsGqcI+Bo7y/J02DTDJnr5e41+ODxXl3yNeB6BRYKDwhINdtrtPeJvcqckUnhAUGv\n1lF73L+yAjh+0X2iFZ7RtXoqdIajJzxMtk3QgZkDlfraVu3d9g/ZIm1NwwJiT4jVaYdP83q/3m7f\nePziovfUve+5qlw4TAfT3lHRpH8qbI09YIclHP26du97rvZdNUB14z4I+PMKVkdPTDjx4wqdOnWL\nPnt3kFacHC17RW1IdN8/+jW4yBamsZO+1RtTkvTmtemydbHX4Nisp07bolfPiNOKa9ND5noFGgoP\nCEjOKqckMUcBQkLGFRlKPjvZ6hhAyBv47ECrI3S6Y++yEP7hRB3QTg04Z4aivo1s9ZaQvjp+nzFX\nS+9J60Y7VZMSpkL59vi+4u68+u2S1o2KCOjzClZHN2InV0hDL92i3FtzNPGcdCX+d73U8taNwcTd\nHSGcq4apOuczxQyI1hsT4iV1jdfAXVa9N1TO0V8qPDlMb1ya0mWy4n8oPCAgOSv/W3iIofBwPEzT\nlKvSdVxd+OF7qRelWh0BQBBy1zje/PRmRWRGKDwh3O1dGTrzS3xbt5bMvTVXxX85X5GXpfu8+NHZ\n2jyvW3L13VWjlfpyUsCdV7Bq3ogN1ylTv1d1arjy5uW1eveEYLterd2GMiwhTN1nZem0H29TYsHI\nLvEatHXLzNybc3TGVd8pcUKS3ki3Piuao/CAgOSqdEmSbLE2i5MEtq/P+1q2KJuGrBhidRT4UcEf\nClT1fZUGPDnA6ihASDNNU3VFxz9vREeP7a5xXL2lWtH9jgxhbO2WkJ3xJb6txrkkZfw4Qxk/zpBp\nDpE9yhYwjXRP55V2WZrKP+qu7oNGKqoqKmDOK1i5a8SWz8tTw6EGhSUdaSYFe/Hh2Nfgp9WGjPj/\nnVv2jdkqXFKoHz5WIvsvsix9DdoqOkhHPl+Rd27X2XfuVtSr/YPyegUyCg8ISE1DLejxcFziT45X\nwUMFqnXUWvLFF9aoL65X0dIi5c3P47oDFtr8080qf79cY7aPkWHz35fithrHzkqn4ofHN23ri+KD\np8b50XxZ/Ohs3pyXLcKmAU8dKfrGmYFxXsGqtUasu6GNwVp8OPY1mO5was3QdRrwzABl/CRDkhTd\nO1qpF6Zq/1v7dMPCnpKseQ08FR2kI5+vnJtzVPFVhW6IirAsK9zj52IEpORJyer3WD/ZonkLH4/M\nmZkynaaKny+2Ogr8qOm6P8d1B6yUMilFNfk1Kn+/3K/HPbDnq1YbxyO/HKn+T/Vvtn1j4z9n8Pkq\n/GalDuz5ymfHd6ezj+8rwXpewWptnbPNRuzRGg42qPz9cs2Oi9Ql0RF6o7pOa+ucfkzrG8e+Bjtu\n2yEj3FDyWc2LL/3/1F8j1o6QzWaz7DVo63pt/r/N2njhRklSj1/20AkvnSBbuHVZ4Z5hmqZpdQhv\nGIahAIkKBJT1p69XXVGdRm8eTSU4hHDdgfap2lKluqI6JZ6a2Gm9E1w1Ln3a/VOlnJuiE146oVP2\n6a2ywg1Kzh7ars+/aZo6sOcrpeQMC/jj+0pr55W/IF8xA2OUPi29xXMC4byC1ee1DRoVYff4Ptx8\n3WYVv1CsUwpPUVhSmNbWOTU6Mjg6jje+BmXvlmnjDzaqz+/6KPeO3DafY5qmJa9Ba9dr3ch1CusW\npqH/GNriOVZlDUWe2uv8XAyEuKxZWareWq2DHx+0OgrcOLT6kLbduk31++o7db9cd6B9HEsd+mrS\nV1In1ulsUTZlXJmh0jdKVb+/cz/jnqTkDGt30dEwjE5rHLf3+K56V6ce31fcnZdpmip4uKDVv7eB\ncF7BanRkmFfvw+zZ2XJVueR4xiHDMIKqETs6Mkxmvantt25XdL9oZd+U7fE5Vr0G7q6XaZqq2lql\nmH4xbp8TbNcrkFF4AEJc2tQ0xY+Ob7pTCLqWQ2sOqXBxYafvN21qmuwJdgoPgJfqiuoUkRnR6T2E\nsmZlyawzVfwiQ59aU/BQgdYOXiuzITB7vtaX1st5yNk0aefRanbVBOx5BYvyVeXafsd2OSta/x4U\nNzROSROTtOexPUF5vfY+vldVm6vU9w99ZYsIrOZhW58vdC2B9c4C0OnssXaNWDNC3c7vZnUUuFHn\nqJMRZigspXOr9fZYu8buGKuec3p26n6BYFXn8M3dJ+KGxinjJxmKSI/o9H0Hi+i+0areWq19b+6z\nOkqHVG+tliRF92/eMDq05pBW916tfSsC87yCgek0tfWmrSp5rUTyMF95zi05qt1dG7Dvw7akX56u\nPg/3UbcLAu+7YNPnq5XCQzAWigIVhQcA6MJqHbVHfmX1wYz34d3CO32fQLCqcxzp8eALg14YpPTL\nW47997eqrVVt/uprlW6TuymqV5QKl3R+7y9/qNpSJUktuoLHj4xXVM8on/Rqg3ccTztU+XWl+jzU\nR/botisP3X743/dhEF6viMwI5d7a9rwOjRzLHCr4fYGPE3mvelvrhYdtt27TV2czaWtXQeEBAWn3\nb3er8JHg+8MPHKuuqE4RWfwSClitzhH8n8X1p6zXttu3WR2jBcNuKOemHB385KAOf3HY6jjtVr21\nWkaYoai8qGbrm53XusA7r0BXf6BeO+fuVNKEJKVNTfO4vWE31O/Rfur9QG8/pOu6yt8vV/6CfDUc\narA6iiQp46oMjd09VtG9WxYeonpGqXxVOZ+vLoLCAwJS6WulKvtHmdUxAJ8LhcYO0NWZLlOJpyYq\nfmS81VF8pr6sXvX76xXT3/0EbVbLnJEpe5w9IHs9pF2Spv5/6i8jrGXPtUA+r0CXf0++6g/Uq+8j\nfb2eu6XbBd2UeGqij5N1bTm35Mh52Kmi5UVWR5EkGTZDUblRMux8vro6Cg8ISM4qp+wxHgbjAUGg\n513AB2IAACAASURBVJye6n59d6tjACHNsBk68c0TlTUry+ooPuNpnLTVwhLD1H12d9nj7AF3e/X4\nkfGtvnfCEsOUOTNTJS+XqNZR6+dkocs0TTWUNaj79d0Vd1Kc1XECSvzIeCWMS1DhI4UynV37sxiW\nGKbMGXy+ugoKDwhIzkqn7LEUHjpb6eul+mL4F3LVuqyOgv9Kn5bu84k/q7ZUadut2+Sq4boDVjNd\n1nyR7+qFB0nq89s+6v9E/06/s4jVcm7MUfcbugfdeXVlhmFo0AuD1O+RflZHsYSz0qlvpn6jiq8r\nOvT8nFtyVLOjRvvf3t/JyTpf9o3ZMhtM7f3TXqujhDwKDwhIriqXbLG8fTubPcGuivUVzLAdYmry\na1S4uJDrDlisfFW5VvdY3TRZmj9Vba2SbHI7Thq+Fd03Wv2W9PPZ5KVonbvu+aFg9wO7VfrXUjkP\nd2wy2bSL0xSZGxkQd/iI6Rej9CvSQ/ZadyW03KCnnnpKw4YNk81mU3p6ul577TWrI3nkrGSohS8k\nn52syB6RcjzjsDoK/Kjpui/lugNWiu4XrVpHrRzL/P9ZtEXalDguUbZIvhoC3qgpqAnMyU53Vqvg\ndwVK/3G6Esd3bL4KI8zQyZ+crAFLB3RyuvZx1bm86iV2wosnKG9e3v9n787jo6rO/4F/7mzZ93WS\nCQmQAEmAAAJRUFFEERW0WhD1VzeoVLTQ1qpf29pia1uxtWVxKajVanHBHStgi7ggyL6FPQlkm+z7\nJJnMen5/jBOSzJ0tmTv3zszzfr2+r2+JZ8597rlnlvPcc88RPiDiEn27hLiNGzdi2bJlOHbsGBhj\naGpqwqJFi7Bx40axQ3Mpb30eUm5zvwIx8Q4n46C+T422HW3orewVOxziJ3TdCZGGsIwwJN2QhPrX\n6/2+93z2r7Ixeddkvx6TkEB2YsEJnF16NuDWHDn/6HlAbnt0aTjCR4SL/nhQ/b/qsStqFwxaWr8h\nEFDiIcS9+OKLXv1dKtRL1Ii9NFbsMIJS+n3pACCZ1YqJf9B1J8S5jj0daPuyzS/HUi9Rw1hnRMs2\n6T87LTarSfrr0mhf1OLs0rNih0EAGOoM6D7Z7bP6Mh/KRNexLnR80+GzOoXW9mUbmj5oQvYT2QjT\nhIkdzrDpS/VgVkaPKQUISjyEuOPHj3v1dxL8wrPDkXBtArpP++7LmQxN4zuNOPfgOb/cTQnPDkfC\nnATUv1kfcHdvCBFa1TNVKP95uV+OlXhjIlRpKtS/SklAV07ffRqnbj8ldhhutf2vDR17vBuY6s/7\nf42PUHD+8fM4XHwYpjaTT+pLvSsVyiQlatYEzlaNpkYToidHQ/OIRuxQfEJfqkfE6AhavyFAUOIh\nxCUnJ3v1dxIaxn88HoXvFoodRshr/6odTe83+W0qY+7aXEz+drLoUycJkRpjndFvd9RkShnS7kmD\npcsi+a3qxGRf2E7qg3R9qd6rnUJq/1GLfXn7JH9egaZzbyca3mxA5opMKBOUPqlTHiGHepkazZ80\nQ38hMK5X6u2puOTQJZBHBMc6afpSPSLHRHr9On8/ykZsKPEQ4l544QWv/k5CQ7B8IQU6Q50BKrX/\npg9G5UchTB34Uy8J8TVjvdGv78VRfx6Foh1FdBfPhczlmeDkHLTPa8UOxSlmZdCX6xGZ5/nAKGl+\nEjiZtM8r0DArQ+mKUqjUKmT/KtundQdCPxzM1zcXrAYrKv5Q4fedsZiVQV/mXWKPWRiOzj6K8sf8\nM4ONDESJhxC3cOFCbNiwAUVFReA4DikpKdi8eTMWLlwodmiEhDxjnX8HO4QQR8zK/J544GT+TTh0\nHeuC7lBgrc4flhmGlIUpqHu1DmadWexweBlqDLD2Wr0aGAXCeQWahjcaoDugw6jVoyCP9u2NlbDM\nMIzZOAYZD2T4tN5Awik5NG5qROUfK/36qKap0QROyXn1/uLkHFTpKnp/iYQSDwQPPPAAjh49CqvV\nisbGRsknHbpPdePs0rO2PccJCWL+nN5NCOFnajGBmVlQJwEr/1iJU4ulv17CYJqVGlg6Lah/XZrr\nYehLbdPvI8Z4PjACLp5Xw78ahAgrpDArQ+WfKhF7aSzS7koT5Bjq+9SIHOv9dP9gwck4ZK7IhO6A\nDp17O/12XFW6Cpd3Xg71/WqvXqf5mbQ/N4IZJR5IwOm90GvLVLZRppIEL2ZlMDYY6dEHQsRmAVLv\nSEX0xGixIxGMt+sQSEVscSySbkwCJPq4dvSUaEzcNhExU2K8el1scSxiL41FzboaMKtETy5AcDIO\nk76ehHGvj/P7TCIpYIyh5bMWwftR+t3pUMQr/L7QJsdx4BTeXdfY6bb3l3adlt5ffkaJBxJwLN0W\nAIA8ktYhEJqx0YjSFaUBNwU3KFiB/DfzkXJ7it8PzawMbTva0HOGZhURokpXoeCtAsTPihc7FEEw\nxgI28QAAE/4zAZoV0lyhX5mgROL1iVDEKbx+bfavs5F+bzqYkQZGwxWmDgvZGQnNHzej5KYSNL7T\nKOhx5NFyqJeq0fxBM3qrewU9li9oVmqgL9OjdWur2KGEFEo8kIBj7bHt2y2Lou4rNFmYDHWv1KF2\nY63YoYQcTsEh9fZUxEz27k6ZL1i6LChZUILqv1f7/diEkIssegvOLT+Hhk3CTbk31hth6bYMaWV4\nIpykm5KQ/atsyMLptw4ZGmuvFeWPlCOqMAqpi1IFP17mw5m2GRb/aRH8WMOVfFsyYotjYemyiB1K\nSKFPM4lpPaTzemEWxhhaXdyRFqJOIet1p2/GQxTNeBDKiaomMMagiFMgZWEKGt9u7Gt3ZxhjOFHV\n5LZOb7irkwhDEev5dZeCpr3fDqlvNe39VqCIQpMQ1yHUr60sXIaObzqgXS/civn6c9+vQxCgMx7I\n0LXWHB3a77iaowJF5FygxNp1rEuwrTX3G8xetUH136qhv9AL3au5Xj+OMBTh2eG49PylyHwwU/Bj\nDZdMKcOUvVOQulj4hAy5iBIPEtJ6SIeSVRdQ/kqdxx8sjDGUv1KHklUXeAf0QtQpZL2eoEcthHWi\nqglrPjuAd3efBmMM6iVqWHQWNL3vPAHAGMO7u09jzWcHeBMFg+v0hLs6ibA8ue5S0LT3Wxz4xXKc\nXvusV33r9NpnceAXy4NmgCo2Ia4DXVvb88vpS9LRua8T3Se6hTmGikPivERE5tOMh1DSWnMUxz9/\nBuX73vDud9y+N3D882f8OqD3NlZmYbBarX6P1dxpxuHLDqPqT1U+r3u/wYwnOnrwYpfBozYwaA2o\n/FMVdr2Viz+OlGO/wT/rooVnh/vlOMxi26qWmelRpEAiX7Vq1Sqxg/DEU089hQAJdcjC1SqYu63Q\nbmmGuduKhCnRLvfatQ/ktVuakbkgGRk3JjmUF6JOIev1hDxGjujJ0YgtjvX5XsQESImNhN5gxo6S\nCugNZkyZmYnGtxuhL9VDfZ/jysH2BMGOkgrMmZCDq8dnO1yXwXUWZiW77S/u6iTCChsRhsa3nF93\nqYjMzIK5S4eKzZtg7tIhuXim2751eu2zqNi8CTmL7kL2bXdQ3/IBIa4DXVubyLxI1KypAafgkHh9\nos/rD88KR9pdaUNah0BqGGNgZgZOHvjXXWjhMWmwGHtQc3IbLMYeJGQWuf8dt+8N1JzcBk3hPGTk\nz/Xb+8vbWGvW1eDU+6+gDd/4NVZZmAy9lb1o+HcDMn6S4dMbZBlyDl0M+FBvRBcDpqnkLs+pcnUV\n3psTg923JeLWCBVuiVAGxeehXW9FL/bl7kN4drjXi7cS4bgbr1PiQUI4jkPClGiPBvSDB/Kjl6p5\nywlRp5D1ekKVpkLMJTFB9QEqJRzHoTAr+WKiwGhGfnIiGv7VAPVSNRQxF3+cDk4Q3D4z32k/HFCn\ni+SDp3USYXEcB2u3FfX/rEfqnalQJinFDokXx3FILp7p0QB18MA0f+Vj1Ld8RIjrIJVr2/RBE0zN\nJr/dyRtMHilH9/FutHzSAs1KjV+mTAciS48Fhy87DHO7GfFXiL8QaNvONpy87STiZ8VDmTy8z09m\nZeit6IUywXefwxzHISGzyKMB/eCkw+jiu/362elNrIZGA0re2ADL1CPILJiH3Ev9G2vEyAho12uh\nSFD4tB9yHIdpKrlHyQfGGN6eFoEdE8Nxa4QKy6PDgu67TrdPh4ZNDcj6ZZZon83EkbvxeuCnt4MM\nx3EYvdR2d1G7pRkAHAbq3g7khahTyHqJ+DiOw+0z8wEAO0oqYJ06ArdeKEZYxsWtHb1NEAyuE4DD\nayjpcFHlnyphbjdj9LOjRYsh/d50KBIVUKlVosXgCY7jkL/yMQBAxeZNAOAw8KSkg/CEuA5SuLbn\n/+88YqbGIP5K8Qaz6qVqNH/UDN0BHeIujxMtDimTR8qhTFSi9oVaZP0yCzKluE8Td5/sRteRLiji\nh/9T++zSs2j7bxuKLxT79Lw4jsPo4rsBADUntwGAQ1JB7KSDt7Eee/klsCuPIU19rd+TDgAQNT4K\nCXMSBOmHHMdhebTtd9iHeiMAOCQVGGN4scuAD3tNQZt0AICeUtuuW5F5vnlEjFkZwECzpQTml0/l\n7du3Y9y4ccjLy8Pq1asd/vtXX32FuLg4TJ48GZMnT8bTTz/tj7Akyz6gz1yQDO2W5gHrKAx1IC9E\nnULWS8RnTxTMmZCDneeq8HHl+QHXdigJgv517iipGLDmAyUdBmr9vBWdeztFjUGVrkLGAxkDZrlI\nlX2AmrPoLlRs3jRgXQBKOviPENdB7GtrrDOKnnxLmJOAy2ouo6SDG5qVGhi0BjR/0Cx2KNCX6iGP\nlkOZNvxZCim3pQh2XvYBvaZwHmpObhuwjoJUkg6exnr601fQk74X0S2XYdy8+0WLVfMz4fqhPflw\na4QKH+qNA9Z86Es66I2iJx0MdQace+gces4Ksy23L99fvdW92J+/H03vSXtNq2Ag+K9Ji8WChx9+\nGDt27EBmZiamTZuGBQsWID8/f0C5WbNmYcuWLUKHEzCczSYYzkBeiDqFrJeIz9ksheEkCISoMxgZ\n642InhQtdhgBxdndcUo6+JcQ10Gsa2vWmWHptoieeODkHFTp0p55JAWJNyQiIjcCNWtrRF+tXl+q\nR0RehE/6ZOK8RETkRaBmjTDn5Ww2gZSSDnbOYi3b+wYam76A7NsiFP1tuaixJs5LxOi/jUb81cLM\nknI280EqSQcA4GQc6l6pAwCMeWGMz+v35fsrLDMMYJDE50awEzzxsH//fuTm5iInJwcAsHjxYnzy\nyScOiQdvt8gJBYMH9PZBvXpu4pAH8kLUKWS9RHyDEwX2ZMHsMSOGnCAQos5gY6wzImxemPuCZIDB\nA1T7IHXEzXdS0sGPhLgOYlxbY53tR32wDvr1ZXp0fNuB5FuSffJIgNg4GQfNSg1Kf1qKzn2diC2O\nFS0Wfake0Zf4JnnMyThoVnx/Xns7EXup789r8IDePqjPyJ0rmaSDnbNYY3tmImP2Qp+uhTEUnIxD\n1s+zhD3GoOSDPQFxi0whetIBsK3HlnZHGupfr8fIp0f6/JrIo+WIyfLNopID3l8if24EO8G/ZbRa\nLbKyLr75NBoN9u3bN6AMx3HYs2cPioqKkJmZib/+9a8oKChwqOvee+/tS2DEx8dj0qRJuOqqqwDY\nHtcAEJT/Hr1Ujc9es32oTkqahs5/N+Dj+gMAgAW/XgB5hNzh9R///mMwI8OMghkAgD2n9gwoX517\nFsdbzmNS0jTb8V7aipP1KU7Le1r//F/Nh3ZLM4622OJL+roY3MMan7ZH5Z8qsa9mH1IXpUri+oTC\nv7/++muk9UsO1p07Dt36ajT+JgWA7fpzKg63/PYWh9db9BZs+aNtNlP//sKpONz+5M3YUVKBunPH\nAQATvxwB7hpO9PMV+987t+/Ecd1x3Kq+VRLxBNq/v/76a7Ci6cD3A9PjHV1o2JaG8Y9zkogvlP6d\nv/IxbHl5AwBgYlw0cPAmfP31133/vfNAJ7745AsAAz8fIsZG4PofXe9Qn+6gDmea83Cuo8tWH4AD\n29LQXPy1IPEb6404iqPQNeowH/NFb09f/7ttRxs2P7gZBZEFuG7RdaLH44t/nx19FqW5pZjQOkG0\neKxmK+QVcqQuTvVZ/ZffcznO//o8Pvz1h8h5MkeQ+DmOQ7V+BI6dbcSksbY7v7t/B9SuEub9Ndx/\njy6+G//58F8AgEljU6HadTXOLD+DM1+dkUR8Qv+b4zgUHPwOr7b3IGHmFQCA8Gvfwtd/z5VEfJkr\nM7H9X9tR/6t6LHppkW/rf8+38fa9v34l3PsrGP+9Zs0aHD16tG987g7HBJ5q8MEHH2D79u14+eWX\nAQD//ve/sW/fPqxfv76vjE6ng1wuR2RkJLZt24aVK1fi3LlzAwPluJCcFdF/nYS+v53vBU7Znpma\nUT8DqjSVw+t2p+2GqdHk8PcZ9TOgTFU61MnVGWA95LhHuLf1q9eMRv2Otov/npuIvIcyfZp5PTT9\nEJTJSkzcOtFndRLX+q+/YDdupwKXvK8EB9u1VaYqMbNhpsNrjQ1G7Enf4/B3RaoCNR8kDqhz9pgR\nuGN2oeiZerHpy/TYl7cP414fh/R70sUOBwBgNVjRW9GLyLG+WchJSP2f+7dLKbgFU19+KuT7lj/x\nXYcRN9+Jwsce77sO55afQ+1LtQ6vzXshD5nLMx3+fvbBs6jc/jzM6q/7/qa+YiEmPfMbQa5t94lu\n1KypQfZvshGeE3wrp5c9UobaF2txRfcV4GT03vAVxhgMNQbIlDKfzpapWVsDRZwC6fcK873Qf00H\nu5SE2Sj4wY8l99nJF2tG7lzkXXmv5GIVSv81HewWGDis0Lje4t6fjsw6AkOlAcVlxZLfkafsF2XQ\nrtfi0opLbY9fEK+5G68LPuMhMzMT1dXVff+urq6GRqMZUCYm5uJUmXnz5mH58uVobW1FYqLv96sO\nJP2TDgl5EWhbX4ukJ7LQAiDtnjRk3ZzsdIu7KXumgFkcL7wiUdFXp3puIoxft0M1Kx51n7cifXUq\nsm4euMWhp/UzxlD9STPqd7Q51CsLk/n0cQtLtwXhI4LvB6BU9U86zB4zAhP/ARy+w4xvZtci7Z50\n3Jo3GhzHOV0JWJmkxPSz0x3q/KisHF/Z69wAHF8G7DxXBVmYLOQft1CmKTHh0wmSWuPh5A9Poudc\nD6afmS7pa9N/sDvi5jvRse4KdKveQRM+xqm/RqLgl49LOv5g0f86JGTNR+/mOUj67R5UffIWZGFc\n36MROb/LgeZnGofXq1IdB2uMMRizPoRZ/TUyZi0EDs5HU9VrqNv1HsLWqgR53CJqfBTGvjLWp3UO\nV/vX7eg63gXNTx3bzVv6Uj0iciMo6eBjHMchPMv3v1M0K4d/zZ3pP5DPyJ2L9hWF6Mn/H5qu3Ymy\nvWGi7BDhzOBYjS9Mg+qhA6gt+9z2m1Nij4YIoX/S4RaZHBNHHMJXG0dhy3WxUHQZJPG4BWBbaPPU\nwlPQHdQJ8oiQL2X+NBPtO9thqDVQ4kEggicepk6ditLSUlRUVCAjIwPvvvsu3n777QFlGhoakJqa\nCo7jsH//fjDGKOnAsyMEns0F5Oj7uyJBidFj+O8+RoyO8KhO7mENGGOQhcku1ulBkqB//fZ6G3Z1\nONar4pxutTlU1h4rZFGyYddD3OPdaeIaDoWMQbVbhR0lFVDGK1wmCjgFh8h+/dRe51dVNQ51mppN\nTrfaDCWKGAWSbkoSO4wBUn6YgjP3nkHHtx0+3ZvclwbvcDD2wV9iz9N7kFhwD8w5caj86C1wSo7W\nehDY4OvQ+961UE1lmLDqV1AkKAYsDqlKU/HOqnNWZ/V/3h6wkGTjh79G7cEUp1ttBqOmD5pQu6EW\naXemOb054Cl9qR6R+dKfxUSExbt7xTEO1evVKP/fG9BiGzjOcftKycQ6iwNjhZCFyZxutSkWxhja\ndrQh7vI4yCPkPquz/0KS91SZcVBvxVK9DMnf73YBOG61KYbkBckovlAsSCLO1yJGRmDq0alihxHU\nBE88KBQKPP/885g7dy4sFguWLFmC/Px8bNhge+Zz2bJleP/99/HSSy9BoVAgMjIS77zzjtBhSZrT\nbSi/v1p8O0i4+2BxtbWls10pPPmwclWvtceK9pfrEVMU5dPkg6XbAnmkbz68iXOutrd0tjOFJ/3Q\n6e4VDMh/2oTW4jDsgOd1Ev9I+WEKSn9airpX6iSZeODbVrHnVA84JYecX+cgaf4fcHptTEgNUMUw\n+Drk/r+fY88je5D9m2ynO1N48rnhbPeK1FtTkfKDX0O1Vhky11a9RA3tei0aNjVAs2Lod8CZmUFf\nrkfSAmklOYl/udoyU/OgBnUbroUhToEaiD+g54vV0mmBLFIGmVLGu9uF2J8FnXs7cfy64xj78lio\nv/+tPRx8W2ZWf9YIAEiel4Tl0bZErlSSD5xcmNk/JDD5ZQnjefPmYd68eQP+tmzZsr7//dBDD+Gh\nhx7yRyiS52ogb+dtokCIOj2pVx4lR8TIcDS/1Yj0p3N8lnywdFsgj6LEg5BcJgi+523ywV2dnIxD\n3po8dM85iqjxiTTzQWLkUXKk3pGKhjcbkLcuD4o46ayA72xgGlUYhZmNtnVHhjroJZ7juw6N7zQC\nViDpBtvg1tvr4CrpYBdq1za6KBoxl8Sg7tU6ZP506GsoWQ1WaFZokDAnwccRSgszM0COoO0Pw+Eq\n6QDYZizmrclD/VsxkOemijqgdxZr5R8qUf9mPS6ruUySyYfYS2MRXRSNmjU1SF+SPqxY+JIOHMfB\noDUg5pIYhGlsjwfwbbUZTP2/47sOhKnDgnLdnWAnX7Vq1Sqxg/DEU089hQAJdcg8SRDYcRyHhCnR\nMHdbod3SDHO3FQlTHBeTEaJOb+qNnR6L2ue1CI+RI2Fektt6PRE2Igzxs+Lp+SuBeJJ0sOM4DoVZ\nydAbzNhRUgG9wYzCrGTefuhJnRGjItB9rBtRr3Qh8Sdp2Hm2ymmdxP9UaSrUvlSL8JxwxEz1zTZW\nw+VuYMrJuL7n1zmOQ3LxTJi7dKjYvAnmLh2Si2dS3/IBZ9ehenU1jPVG5P49d8CMKU+ugydJB7tQ\nu7bMwlD/z3ok35SMsIyhfRfKVDIkXpfI+2hmsOg+2Y1DxYcQPTEaEaP8d56MMcH7nrXXCmODEYrY\noSWB3SUd7CJGRSDl5hQkZk+CxdiDmpPbYDH2ICGzyG/vL1exlq0sQ+SYSKjvtd084zgOCZlFosU6\nGMdxkIXLUPeybbbgUPuhs6QDACTNS4L6fvWA77ppKjm6mC350MWAaSq5pD4PN27ciCVLlmD58uV4\n4YUXkJOTg8LCQo9ee+TyI+gt70XKrSkCR0m85W68Tg/KS0jb4S6PEgR29lkKmQuSod3SjLbDXX6p\n05t6w7PDkfVYFprebULS2Ai39Xoi/UfpiJ0u7QVqAtnJ6maPkg529pkPcybkYEdJBU5WNzuU8abO\n0c+NBjMxTN4kd1kn8b+YaTHI+EkGIvKkM1Bp3rfbo4Gpnf3ueM6iu1CxeROa9+32U6TBzdl1yFie\ngdy1uQ6LF3pyHaRwbWvW1qBzX+ew6/G1tDvSIIuQof71erFDkbSI0RGw9lpRs6bGb8e09lqxK3oX\ntC9oBTsGYwyHph3CuZ+cc1/YiTbtMbdJh/44jsPo4ruhKZyHmpPb0KY9NuRje8tZrPrzevSc6UHS\njQMfFxIzVj6pi1OhTFEOqx8eMFp4kw52g3eM4DgOy6PDcOv3az4cMFqGfGxf27hxI5YtW4Zjx46B\nMYampiYsWrQIGzdudPtaa68VhmqDX36HMHPo7aYoOBYgAijUYWk52MmsVmvfv7tPd7O61+uYucvs\n9DVWq5W1HOz0uE5PuKvTm3rN3Wa2R7OHHZh8gFlMFrf1EvGVVDYOqc+UVDb6pM7yJ8rZ7vTdzNBi\ncFlnsDr1o1Os8s+VYocRMBq/2+Vx37Jarazx/UZW9+861vjdLoEjCy3eXAc7q9Xq8jp4U6exxchO\n33eate1u88m1tRgs7Et8yS48dWHYdQmhdWcrM3WYxA5D8s7/9jz7kvuSdZ/r9svxuk50sS/xJavf\nVM/73zds2MCKiooYx3EsJSWFbd68eUjH8cV5tVQfcXh/lT9RzsofL3f6GqvVylqqjwz5mEPFF2vN\n8zXsSzhvA7Fi5WO/Xj2lPUOuY1+vaUifsft6pfE5oTumY6fvP82KJhYxAA7/V1RU5LYOd+8vX2nd\n2cp2p+322+dGsHA3Xue+LyR5HOd6X9BgdeG3F1D5x0rMbJ4JZcLwVq8WU/PHzTA2GqFeona67SIh\ndpZuC5iFDXkKaaDbnbobKbemYMw/xogdStBhjOHYNcfQdawLxaXFUCYG7ucqGcisM2P/2P0I04Rh\nyt4pw94isre6F3tH7MWYjWOQ8eMMH0VJ/M1Yb8R3I75Dxk8ykLcuT/DjNX/cjBM/OIEp+6cgdtrA\n2Zn2O72DbdiwAQ888IBXxxHivJiV4buM7xB/dTwK3i7wSZ1COn7jcehL9Sg+Vyx2KG4Z641o/qQZ\naT9KC9kF0lv/14rj1x3HbG4275iO4zhYrVaXdbh6f/mSvz83goW78To9aiFxLZ+1IG5GXEAnHQAg\n+ZZkZDyQQUkH4hF5lDxkkw5WkxWmJhNUavdbDBJ+lh4Lal+uhbHJ6PDfOI5D7ppcmNvNqPhdhf+D\nI4JRxCgwavUo6A7o0PBGw7DrM9bZ+k+YmtYTCmSqdBVSF6ei/rV6mDvMgh+vp7QHABCZ57hN6Ysv\nvsj7Gmd/d0WI8+o60gVjgxGJNzjf0l53SIeWbS0+Od5wsO+3gg+U5/xV6SpkLMsI2aQDACTMSUBk\nQSTi5fw7YyUnJ7utw9X7y5f8/bkRKijxIGGGOgO6Dne5/AIghAQXU4MJgO1LjwxN+5ftOPfAOXQd\n4V9LJnpiNDJ+koHal2rRfaLbz9ERIaXdlYbYS2Nx/v/Ow9w5vB+L9sRDMCYBrSYryh8rh+6gnFD/\nFgAAIABJREFUTuxQ/EKzUoOowqi+ayok/Tk9lClKKOIdk+fHjx/nfY2zv7ujWamBpcuC+td8s9ZH\ny2ctAAckXs//u5MxhtIVpTh739lhv7+Gi+M4jP9wPEY9M0rUOMTUsq0FrdtbxQ7DYxzHQbNSgxXm\nFbz//YUXXnBbhypFhcQbEnnfX75mf3/V/bNO8GOFCko8SFjrNtuHyeBFc0JZ98lunL7nNHrO9ogd\nCiGCMNYHzmDHopfOYlX9tWxtgSxShvgr+e+qAMDI34+EPFaO0pWlIfkYn9DEWpSLk3HIXZcLY4MR\nlU9XDquuvsRDECYBey/0ovov1eg+GRqJt5hLYjBl7xREjhP2LikAlwvfObuj68mdXj4xl8RA83MN\noiZGDen1g7VubUXs9FioUvj7vH3GmC/eX2T4Kp+qRMWqCrHD8Era/0vDnMQ5+O3k36KoyLbbSEpK\nCjZv3oyFCxe6fX36vemY+NlEP0Rqe3/FXR4H7XotmIV+J/gCJR4krHVrK8IywxA1wTdfKMGgt7IX\nDW80wNxO055CidVkhanFJHYYfmGoMwCQfuKh6aMm7EnZg97KXrFDGYAxhtatrUiYkwBZuPOvOGWS\nEiN/PxKGagNMTaHRt/zp1B2nUHJziSjHjp0WC/WP1WCm4f1QjCyMROZPM6FMlfajjlaDFU0fNHmV\n7NGX6gFAUjvUBIsJ2yZg4nb+gZGzO7qe3Ol1JvdvuUiYnTDk19uZ283QHdS5nWUbOy0W6femo2ZN\nTd+0d+J/xiYjOvd3BtysaHmkHBkPZODa89fi4DcHYbVa0djY6FHSQQyan2kQMSoCpmb6neALlHiQ\nMPUDaoxaPUpS++76ArMwaF/SovVz76eHWXtsi87Io0L3GblQwxjD0SuP4sy9Z0SNY+PGjZg0aRJk\nMhlSU1Px3nvvCXKcuJlxKNpZhKh8aSccY6bEwNLjuym+vtJzpge9Fb1IusH9TLGMn2Rg2olpUKVK\nO8kTaKwmK1o/b4UqTbx2HbNhDHL/njusOuKviEfeujzIlNL+qdS6vRUnf3jSqynXlHgQDsdxUMTw\nTwNfuHAhNmzYMKQ7vUJTxCtwWe1lyHjQ/UKqo/48CrJwGcp/Ue6HyIKP1Wgd9joZbZ+3AQwefddJ\nTdZjWbi08tKAWMsr5bYUFO0oEvX7LJhI+9s0xCVel4i0u9LEDsPnmJVBu06L0odLYTW4Xr12MEu3\nbWq3LJK6bqjgOA7JP0hGy3/Ee5ZxOHtOe0uZqETC1QmQR0s7uRaeHY6EOQmoe61OUlMQWz+z9ZHE\nee7vAnEKDjIVfZb4WufuTlh0FlF/EAdbwt6VxBsSoUpToe4Vz59D7intgSJOAWWytGdzBKMHHngA\nR48eleSdXlWqyuljFgPKpauQ/WQ2Or7tgKHG4IfIgkvtP2pRckMJuo7yr0PkiZbPWqBKUyF6SrQP\nI/MPZYISijjpJx2I79EvLuJ3MqUMuWtyoS/To2ZtjVevtfTYEg804yG0aFZqEJEbgbKfl8Fq8i5Z\n5Qu+XIk8mKiXqmGoMqDtizaxQ+kTNysOI58eifAR4WKHErJaPmsBp+QQf43zNTaI78iUMqTdnYaW\n/7T0rRHjjr5Uj4i8iJBK0PQn1hokwUSzQoPi0mKEafy/60vV6iq07ZDO94630n6UBlmkzOvfwHbM\nzND6eSsS5yUOe9tgQvyJEg9EFIlzE5E0PwmVf6j0+IcSAFi76VGLUCQLkyH377noOdMD7fNavx/f\n1yuRB4vkm5OhTFKi7lXprPgcOy0W2b/OFjuMkNaytQXxs+KdTjcnvqe+Xw1mYah/w7NHnzKWZSDr\nkSyBo5Kmpo+a8J3mOxgbhd/hwt9MrSa/bf0nC5OJMmPG3GHGhd9cCOjEgzJBifR70tHwVsOQ+iGz\nMIx+bjTUP1YLEJ10de7tRNNHTbQgdACjxAMRzejnRsNqsOL8E+c9fk3ivESM/edYyCKo64aaxBsT\nkXh9IipWVfh9kR9fr0QeLGRhMqh/rIY8Uh4UPwQs3Rboz+vFDiOgmTvMsHZbJbfgWceejqAcaNpF\njotE3OVxqHu1zqP3YsptKUhdnOqHyKQnKj8KxgYjav9R6/O6Tc0m0WZTmJpN+C7rO9SsG9pd9EDR\ntqMNzMyQeKO0PmO8pVmhATMy1G7wvh/KwmRQ36dG3Iw4ASKTrtqNtSh9qFTUmVo0W2p4aPQmQcwa\nGp06Mi8Smp9r0HOmx+O1HqIKo6C+Tw1OTlPLQo19G68xL42BIsm/d1KFWIk8WIz68yiMe21cwE/Z\nZozh2JxjOLXoVMB+BvtrAVRXFHEKFF8oRubDmX4/tjOGOgOOXnUUF35zwePXmDvMuPC7C+g+ETjb\nTeb8Lgej/jgKCMzu6zeR4yKReH0ial+qhdXo20f3TvzgBI5de8yndXpKmaxE/Kx41L7o/Xl1fNfh\n87YQSsvWFijiFIi7LLAH3X39cAjXK5i0bm9F+WOeLVJqf0RMLNoXtdg/bn9IX6/hosSDBJ287aTo\nK/j7y8jfj8Tk3ZMhC6OuSNyLHBuJtDvT/D7I9ddK5IwxHJp6CHX/lM6jC6GC4zhk/jQTukM61L8u\nrZ06POHPBVDd4ThOUjtBhKnDkPlwJupeqYPuiM6j1/RW9qLy95XoORM42wUmzElAyg9T6JlvD2h+\npoGx3oimzU0+rbfnXA8iRos3MNKs9P68DFoDjsw4MuT1BuyYlQk+G5FZv98ueW4COEXg9/OcVTnI\nezEvpG+m6Q7rUP2XanSfdJ/k7TnXg8i8SD9ExS9idAT05Xqff26EEun8MiAAAIvegtbPWyGPDY01\nDGRhMvqRRAKCP1YiN7eaoTukg0Vn8Xndwc4Xj3qk3pGK2BmxOP/EeZg7/fOctK/QAqiu5fw2B8pk\nJcpWlHnUV4x1tscyVOm0hVowSrguAZHjIlGzpsZnj4mZO80wNZpEvSObcF0CIvO9O6+WrbZtHZPm\nDW8XmhMLTuDED04I+thd19EuGOuNAbmFJJ/Y4lik/CAlpBMPGQ9kQBYuc/uIkGTeX+MiUbPWd58b\noYYSDxLT/lU7rHorkm4Mjg9VQojn+gY7ahrseKvqmSocueLIsKZAchyHvHV5MDWZUPmHSh9GJzxa\nANU1RbwCI/84Eh3fdqDpXfd3q+i9GNw4joPm5xqoMlSwdPkm0asvta0PI+bAiOM4aFZooDukQ+ee\nTo9e07q1FWEjwhBZOLw7yUk3J3n8/hqqiLwIFLxTENK/kYNtwKtMViLt/6Wh4c0GmFqcz5iRyvsr\nc0UmdAc9f3+RgSjxIDGtW1shi5AhfhZtQ0ZIqDHU2fZDp8GO91o+bYHVYIVMNbyvtZhLYpB+Xzpq\n1tbAoA2c/elpAVT31PerET05GlV/qXL7492+21IwvhfP/+o8atYH9wKEnsh4IAMTtkzw2e4rUhgY\nAbatGtVL1FAkuj8vq8GKth1tSLohadiPMNrfX+WPlvdtfe5rihgFUm9PFWU3DSmwGqzYO2Iv6l4J\nrscxM1dkwqq3ou5l5+clj5JD/WM1ooui/RiZo/S706GIVwz70aRQRYkHCWGMoWVrCxKuSYAsPDQv\njbHJ6PLHfsXvK1D1TJUfIyJSxRhD9V+rUfVs8PSHQJ7ebW43o2RBCRo2Nfj92KZmEzr3dvrsLtio\nP43ChM8mICzT//vTD5XYC6AyxqB9QSvpXUE4OYeCdwow6YtJbgdZhjoD5LFyyCMD87FHc4cZxib+\nXTwa3miA7qBna10Qz1m6LFAkKkRd4wGwDdDGvjIWUflRbst27OqApcvik11oODmH3LW5MNQYULU6\neL6XpaRjVwcMNYaA/I3gSvSEaCRck4Cmj5zPlokcF4mxG8dK4v2Vsdz2eEigLkQtptAc3UqUqckE\ni843XwCByGq04tCUQyh9uNRpmZbPWtD+VbsfoyJSxXEcdId1qPhdBXore8UOxyfsiYcwdeAMeO3k\ncXL0nOkZ0tZgw9X6eSvA4LPPTlWaConXBtbnsL8WQHVGf1aP0odL0fbfNr8cb6gix0RCEe/+TnDi\n9YnIeTJH+IAEYNFbsDd7L6r+5Dj4s/RYYNAaRF2gLVipl6pxecvlAZWskkXIkHxzMhJmJ/ikvvgr\n4pG6OBXVz1ajtyo4vpf9xdxuRvs3rn/ftmxtgSxMhvirg29W9Lh/jcPkXZPFDsMjI58eifw38mmN\nuiGgxIOEqFJVmFE/A+r71WKHIgqZSoaM5Rlo/rgZbTv4f7xau62QRVG3JTajVo8COKD8Uc+2YpI6\n9VI1puybAnl04PxwteM4Dur71ejY1YGec/7dCaBlawuUKUrEXBLj1+NKjT8WQHXGvkBdsCTOk+Yl\nIeuXWWKHMSTyCDkSrk1Aw5sNDltV68uk8TgAkYa4mXEY//F4yKN8950z6tlRyF2bG1AzxqSg9OFS\nnLj5BCzdzh9TafmsBfFXxfv0eklFWGbYsB+V9JdA3z5cTIFxhUMIJ+NCemvJrJ9nIXxUOEpXlsJq\nclwkztJtCai7CURY4VnhGPHECDS91xQUM2GUSUrETo8VO4whS7snDZycQ/0//bcdJWMM3SXdSJyX\nSHcfRNS6tRVR46MQPiJc7FAIbElMU4sJzVuaB/y9bx2CMZR4GIyZadq0L4RnhSPjgQyf7tTALAwW\nfXDv9pTxYAbM7WY0vMn/uKK+TA/9OT0SbwyO5C4JTaE7wiWSJAuXIfdvueg51YPafzhO2bb0WIIy\n00uGLuuXWQjPtiWr6IejuMLUYUi8MRH1/6r327XgOA5Tj01F3vN5gh4n2FYS9yWzzjZFOBBnOzAz\nA7ME37VNmJOAsKww1L86MAlon40UkUuJh/4qn67EoamHgvKZ7d6K3oA/r859ndidtNvtowiBLHZG\nLGIuibFt1chzvbpPdEMWJhv2tqeEiIkSD0RykhYkIWFOAiqfqnRYGZketSCDySPkGP3X0VAmKmFq\nc74VE/EP9RI1rHoruk93++2YHMf5bGV6Phd+c8Hl2jOhrm1HG5iJIemGwPpBbGo24eCUgy5XUg9U\nnJxD+n3paP1v64Bn7VMXpqLgnQJB3y+BKDwnHF3HutD2P2mvUeKtti/bsHfU3oA/r9atrWBGhqgJ\n7hfMDFQcx0HzMw16zvTwXq/kW5Ixs21mSCYN9WV6VD5dCUOtNHeaoptenqMR3BC1HtJ5fAfMXpYx\nhtZDnq0k7U3ZYGI/57wX8jDxfxMdHqsY+8pYpN2ZNuBvodpWxOZEVROSbk1C0c4iqFJcr/R8oqqp\n7714osr56sn2cgA8LuuunLdl7bwpK5b+7ZV0QxIuq7sM0RP4t7xq2vutx23Qv2zT3m89isWbsu7Y\nj2/RW1D7Ui10Lj5nvInV07L2coD78xLi+J6WjZ4QjZzf5yB2RqxHsUpB095vIU+UQ5moxIXfXPAo\naRkI59Vac7Svz6jvUyP1jlQw08XfKhG5EUi9PXXAaxhjaK056tc4paB/W6UsSoEqXYWaNfxb5NnL\nOmsrg9aAnrM9A+5Ui9Wu/c8rbmYcVGnOz8vO17H2j8HTsq5iaNnagtgZsVAmKAWJV0z7DWaP+6E8\nwvabmDGG/Qaz32IUWv82AIDajbXQvqjt+3fn3k5cePICzB0Xz1msNhgc67kHz6Hk5hKXZT2J1Zuy\ndoHYD+SrVq1aJXYQnnjqqacglVBbD+lQsuoCzN1WJEyJdrnISF/ZLgtaD+tQvrEWsWMjEZFxcdEd\nxhjqX62HKl0FRYwCjDGUv1KHsg2OZYNZ/3ZNvTaBd2X/qPFRCBvUdqHYVsTmRFUT1nx2AHqjGeNH\npLh8L9rL9hhMOFHVhLd3n8KotHikxkXxltMbzCjQJGHznjN461vXZd3V6W1ZO8YY3t192unxpaB/\nexVmJYOTc5Ap+XPaTXu/xYFfLIepS4ed5gS85aIN+pdt2vstTv39GcQXTkCUZoTTWBhjOL32WZz6\nm/uy7tiPb+7SYdTKeah/tR66Azqk35fu0M+8idXTsv2PnzR9Bs6s+4vT8xLi+N6UVSYqET8rHpyc\n8+k1EEr/ts15cC5q1tbA2m3tm8Lcfbob1aurETkuEoo428yAQDiv1pqjOP75M7AYe5CQWQRlghIp\nt6VAmah0+hrGGMr3vYHS715HbGouImLT/RixeAa3lUwhg0VvQd3LdUhdnAplstKhrNnQg9aaoyjb\n69hW1X+txqnFp5D9q+y+94EY7erpebV90YaK31Ug7vI4yCJlPo11cAz1r9aj+ZNmJFztuHOGJ21r\nqDXg/KPnkbk8E3GXxwVVn91vMOOJjh50MWCaSg6ZQobwUeFIujEJ4Vn86+UwxvBilwHPd/UiXyFH\npiKw7yEPbgOO41D5h0o0vNEAzQoNOAWHpg+a0LGrA7l/zQWn4ERrA75YdUd0qNvo+LlxsawtOfB8\nt8FprN6UtZNqP3A3XqfEwxCEq1Uwd1uh3dLsNvkQrlbB3GWB9tMW6M7pkTE/CZk3JQ0o332sGyU3\nliB6QjSiiqJQ/kodtFuakbkgGRk3JoXM6qnetCtwMekQim1FbFJiI6E3mLGjpOLiwNdJH0iJjUSP\nwYQvSipxobED14zPxuwJ2Q7l+9d5tKIRRysaMGdCDq4ez1/Wkzo9Kas/r8fh6YcRkReByLzIvqTD\njpIKp8eXAm+uQWRmFkxdOlRu3oTqmnpMmHsdrnbSXv3LdpwqQfbCO5H9wzuc1m0fGFZs3oScRXch\n+zbnZT0RmZkFc5cOFZs3wWrqhvr6Wah9sRaRYyIdZnN4E6unZfsfv3HXl2jY9aXT8xLi+N6WBXx/\nDYTSv21lUQbE5kxD3YY6pNyWAlWqCu0721H+SDnUS9VQpaoC5rzCY9JgMfag5uS2vkGf2+/QfW+g\n5uQ2aArnISN/riTPSwh8bRWVH4WadTW2x4ZuTBpQ1mzogfbUNuiaypBZcD0yCwa2Vd3GOli6LMj6\nRZao7erpeVX/tRpNm5uQ/WQ2zh9606exDo6hd3sKtGu0fe+vwWXdtW3T5ia0bGnB6L+NhjJVGVR9\nNkPOoYsBH+qNfYPZqIIot0mHD/VG3Bqhwi0RyoA+f4C/DVTpKtS+VIvwUeGImRxz8f31SJaobcB7\nvfKjoF2vhdVoHfC5YSvL8KHehDNmK34QrsQtkSreWL0pC0i7H7gbr9NDfkPAcRxGL7Vtean9fsXo\n0UvVzjtI/9fy/Hf7NmQJ1ycMGEi7qjMYedOug5MOodZWxIbjONw+Mx8AsKOkAgBw+8x8533B3Zvx\n+zoXzRiHs7WtqG7pRFZSLBbNGDesOj0pa9AaoC/T990t6590cHlOIvP2GpRcchMaj1cg98xuZB/K\nAS4vcF55/6m6PPU1f9ps+5E2KnzAwDB/5WPDbi+O45C/8jEAQMXmTcheCERNmY3zj51H8s3Jjovc\nuonV27Icx2HcikfReuQgOkvPIjZvLMateNRFP/Tt8b0tO3hw7otrIJTB13bEAitksZej7GdlmPjf\niTDWGQEAKrVj0kHq5zW6+G4AQM3JbQCA0cV3O/8O7TeAc1YuWDlrK/VStZMZW64/6PWlekTkRYje\nrs7OK+2uNNT/qx4j/zgSiniFbVvGOfG4cPTfPo91cAzqhVbI3s7te385HsN125paTYgsiERkYWTQ\n9VmO47A82jZT90O97XNneXSY0/ds/8Gms3KBhq8NHpwVh6iJUahZU4P0+9IHvL/EbAPe65UShtQ7\nU/veX/bHgQBhvpbFboPhohkPQ8RxHBKmRLu8Q28fHNd+2oKM+UmIHRsJ7actDmXP/995KNNUMMbI\nQ34g7apdGWN9/5+SDsSO4zgUZiUPuOuey8Wg52xP3z7i9oH8Fycqcc34bIxKi8cXJZW8d+gZY9i8\n5wyOVjQgKykW1S2d0Bv5y3lTp7uynfs60fR+EzSPavBRWXlAJB3s+K6BszbYcaISE+ZehzGJ4ajc\nvAnmLh2Si2c6lD299llUvvcWshfeifjxEx3KWo1WHL70MEwdJjSd/6cgA0OO45BcPBPmLh0q39uE\nuKvCEBFThMTrEvsSD57E6s159S97Zt1f0LDrS8TmjUVn6Vmf1Clk2UAYnNsNuLYfvoW4q8OgvnEW\nooui0fxxM3QHdMh5Ogdn1v0l4M4rIbPI5cwHsQfHUsHXVrkPzB6wa4C9rbSntiOz4HrEpuRBe2pg\nuzLGUP5YOeKvjkd70meityvfeakvL4ZMLkPczDgYKgyo+nMlwh45hMamLwSJtX8Mtee2I/bqcLSv\nj0bMpBhEjosE4FnbArZ1KtQPqnF+/5uit60QOI7DNJXc4U66/fx6K3vR8r9WvJ4hw0cGU0AONt0Z\n3AbdDJgeo0L9y3WIvzIe2he1iL86Ae9eGSX6gJvvel0xNgq162uhTFIibmZcX3Lgo14TfhCuRIFS\njg/1JodrC2BIZcVuA1doxoOAXN2h5xscf/+iAWXNrWZ07u1E7D1pNJD+nkO7WhmMuzsQNSYKI349\ngpIOxMHgu+4N7zZi+tYwFJ8sBhfGOcweAAAOnMMd+sEzDRbNGIfNe864LedNnc7KGuuNYGD4tLES\nO0urAibpYMc38+HqmiQYKg3IeizLsQ0uLwAH2x1nAH2DOr5BLACHsh3fdsCsM6M7/F00bP5AsIHh\n4LvjOYtUUCYXAuAfcPPF6s158ZUdt+LRvgGwr+r0RVm7QEs62A2+tlH5kUjHYzDWGaFMVwZc0sHO\n2V1v7Xotmj9rRtSqY9CeCr4B3FC4miXCl6CxvWZgWVOTCZZOM7oL/4eOk7sk0a4O51UIjP6bLaa6\n1+qA2/egnSsRNNbBMSiWd6P0kXAkXp8ILozzqG3t1yFYkw52rmY+NLzbiH8Yjdg/K1yyg01fGNwG\n7NZ4THpciab3mpDz1Ei8Nzcan0lkwO1wvUapcOXNyYCFPznw/ascru1wywZiP6AZD8Pk7A493+CY\nr6ylshfNp3tgDJPRQLqfAW31aQusJoaml2pRv6cD7eV6aivioP9d972sCfpeMzIrFficq3OYPeDs\nDv3gwbFMJvOonDd1OiubdhjYmdGMA7FtAZd0sBt8Xh3VPVD+sRV7ZnThi1OVDm1gv+Nc0e9OOt8g\nlq+s8WAOWhr+BV3nNsEHhsONdbhlZTKZqMd3VtZ6IRcH7vsdms9+EnCDczvevnUoB93h76Lp1McB\nfV7973q3fFGH+kcUMF31NTrCvw3aAdxQOJslwjcrhK9slCwfTYot6FHvlVS7Ojuv05+8AkvxUb/E\n2j+GdsUuyOLMSJ14CSrPvOVR2zq7DsGI7076hAYT/n6yA/uWpAb0YNNT/dvgI4MJcQ+ocf3tadg0\nPgxblFZJtcHg6xW5KBlzZifxJgeczWoZblkpcjde55in+92IzJ7tkar+MxzsUopjkb1w4Er7EXm2\n/XcHl1Vfl4C8hzWS7Uhi4WvXpEnRKPz9SGorwqv/DAO7q7I1uGveBIc+Y2wy4t19Z/B19cWtq65M\ny8DiKwugSr64CBZfnVemZeC2wjxwHAdlkhLKJKVHZQH0lecrO3vMCNwxuzCg+7ezNlg0fRzCNeEO\nZU/9dTUqP3qr728ZsxYi795fQBGt6Htcxl7WPii2G3HznSh87HG/tBff8TOvvR25d/7M4fjKNCVK\nX/ubQ6y5P/oZrF1Wh3ovfLIeVR+/NaBs4WOPw1hvhEVn6StX/vYa1Pz3XYdy9uMb6gyw6CwelbWX\nN3eaHcpq5i3GhN884XBevbW9OLfxuYH1LrgDhY//X8D3WTH7llD637W3y8idi7wr7w3o8xICX1ul\nplyD7LF3OrRV+KhwnD/4ZkC0K995pSTORsEtP/ZbrK76oaXDAmOjcUDZqvPvoKH2fw5lpda2Quh/\nZ9tu9oEe/OqGtJA4f4C/DW6RKfBwUoTk2sBVrEatEZYey8WyYHglwootYcyhLMdxMNQY+sq7KytV\n7sbr0th7Iwj0fzzArvHJChwYdwD7x+7v+z9mYrxljd90SLojiYWvrcwHddRWxKn+U/7t8h7T8/YZ\n7XotNPNbBvwt67Y21L5Y67bOrNva+t7f2he0HpftX56v7MQNCPj+7awNSn9Syls2bdzSAX9re+Zy\nHBh3AOeWnXMo23+KPwDg4E1+ay++43e/drXD5/z+sfvR+lkrb6znf3neoeyBcQeQnHmvQ1mO41D+\nSPmAci1PzeAtZ2cv70lZe3m+ssbPruNt1/O/PO9Y76H5QdFnxexbQuk/3d3O+MK0gD8vIfC1VePC\nPN73t6XdEjDtynde7O0Zfo3VVT9sfLfR4fOw4YZRvGVDQf9p/HY3/LU+ZM4f4G+Dq5dfkGQbuIr1\nzL1nBvbtsQcwccQh3rIABpR3VzZQ0RoPPmK/M99fwooMpE2PHdBJ+vZ3HlRWNSu+b/FEchFfW0Xe\nmERtRZyy323v78zvVJjO02eSb0vGl9ktgFHf97fyl6IxdUbSgHJ8dZa/FI2bYrLAcRyiJkR5XBZA\nX3m+sseXAYUB3r+dtcGksRresnXHNg74W/SSL5F19XKEZzrOjji99tmBFUz9DxjzzwwRvuOH3/Y/\njJq6zOH4sZfF8saaMfMnSLrJsX81lv/ToSxjhch8KLOvPGMMNd++BP0xx3L249vLe1LWXj7xxkSH\nsso528HYJQ7nlbE8Az1x77qtN9CI3beEYr/T3J/qoQMBf15C4GurhH+cRprqBw5tJYuSBUy7SqEP\nuIohfnY88jflDyjbYPoIbRbHslJrWyHY76D39+17YzApwH8XeIOvDb58caQkfxu5inXEEyOQfn/6\nxbIA3hyj5C3LcdyA8u7KBipa48EH+j8OoJ6biDCtAfHXJKD5oA7hoyKQdU86oidG2/Z+58Bbtu7z\nVt6dMUKZs3altiLO9J/iP3vMCNz8fhwi58bh62qtw04LjDF8VFaOr+u0A8ruaqmDJV7WV9ZZnbta\n6iAbE4biG3IQlhbm8vj9y0ZPjIYqTeW07M5zVby7QgQKV23A1AqHa3B67bOo+vhtjLgYajW3AAAa\nxUlEQVT5TsR1PYG42WGo+/Y9hI20QnP7NQ5lKzZvGlC26pO3eHdaEOK8+I6v/WIzwkZakbP0ur7P\n+ajxUSj91994Y5UnGB3KVu98EVWfvM17XpqFsxE98WI57c7NLs8/fES4x2UBICwrjLdszfZ3HMoy\nxnDho3Ue1RtIxO5bQuk/vT0jdy7C3r4D8ddHoLbsc97dLkKZs7ZqavkC4WM5ZF0/Y8B79vyhNwOi\nXaXQB9zFkDpx6oC2bej5EI0NOyTftkLoP23/FpkCDz5UifCbkvCx1cy7y0EwCqQ2cBfrFWOjB/Tt\nN0Yq8GkUc3peEaMiPC4rlTYYjHa1EBjv1o4Pa8AYgyxMNmAHCwAel5Vqh/IXb9o11NuK2PDtHsFd\nw6Hw+z7TfwcJAB6V7b+rha/q9LZsIPVvb68B3yKGjBVCFsY57J7gaVkh2svZdpHDjdXTsv13tRDj\n+FK4BkLx5toG2nk5LMo3y35eMoedA0KZN20FIGDaVQp9IFjbVgi8uxZsLrR9f/ZbQ0DKCwsOVyC1\ngTexAhCkrNhtMBSUeBgG3sHx952g/9oE2i3NtkcDAGg/bXFbFgjtAbU37QqEdlsRG94Bb78+03+b\nR8YYwAFflFS6LXu2thXVLZ0+rdObskDgJB+8uQZgDBMO/QeVPFsV9n/WvmLzpu/bi/OoLOD7AaKz\ngelwY/WmbOuRg+gsPSva8cW+BkLx5toCgXVeznYC6P+sfbAP5DzhTVvZFkzjeLcilVq7SqEPBGvb\nCsHVVokc53yrzWASSG3gTay2R8OBD/Umn5YFArMf0KMWQ+RqcGzHcbYtIU1dFtR+2gLdOT0y5ydh\n9I8znJYdvC1noHWo4fKmXUO9rYiNqwGvHcfZtnns6TXhixOVuNDYgWsmZGPxzALesgWaJBytaER1\nSyeykmKxfO5kyGSyYdXpbdnB23JKuX97cw30vSY0vvY85F9/huxFd6GAZzDHcbYtDk26TlS+9xY6\nTpa4LTt4S0hftJergelwYvW0bNL0GWjc9SU6S88iNm8sJv/577z9UKjjS+EaCMWbaxto5+Vu+0GO\n49+2UMrnJQRv2sps6Ib21HbomsqQWTAPuZdKt12l0AeCtW2F4GoQa8dx/FssBsP5A4HVBt7EqrMy\nfNRrwmmzFbdGKLE8OtwnZcVuA1foUQsBeDI47q//f3G1ISjHhfbdfG/aNdTbith4MuAdwIM3I2MM\nm/ec6Us6VLd0YvOeM87r9vQN7kVZjgucmQ/eXoMJh/6DyjO7UTZuJjovuQkFrirvX4+L7ZmEuDvt\nycB0KLF6WpYxhjPr/tKXdOgsPYsz6/7iPA4fH9/bsoE0Q8Cbaxto5+VusGcXCneRXfGmrWw8+/AW\nu12l0AeCtW2F4Mkg1i5Y7ngPFkht4E2stnj7v9Z13Z6WFbsNhosSD0PQdrjL46RD2+Eu2+MV85PA\nANR+2oKkS2KReEkMb/nBA+rEKTFOywYbb9oVCO22IjYnq5s9HvCerG7GFyWVuGZCNsCAL05UYkJ2\nKsaPSHFaZ/81HsaPSOEt60md3pYFHJMPfMeXAm+uQfO+3ajcvAnZi+5C5yU3YceJSox30gb9y4Ix\nVL73FlIvuxwpl17OW/fgAWLKpTOdlvVE877dHicdvInV07L9j99/jQe+8xLi+N6WBXx/DYTizbUF\nAue82rTHvBjsOQ7kEjVFSNRM8keoovOmrdq0x6A9tQ2ZBfMAMGhPbUdS1iSnbSVmu0qhDwRr2wrh\ngNHi8SAWcBx0TlMpMD0ssIdygdQG3sRqK2vCrRFKMAZ81GvC9DAlb6zelAUCvB+wACG1UFsOdjKr\n1epVWavVyloOdnr0Gm/KBhNv2tUuVNuK2JRUNnrcZ+xlrVYrK6ls9KhOT8u6K+dtWTtvyorFm2vQ\n+N0uj9ugf9nG73Z5VL83Zd2xH9+bsp4c39Oy/Y/vaVlfHt/bsna+vAZC8eba2gXCebVUHxnad2j1\nEYEiki5v2spe1pu2EqtdpdAHgrVthbCv1zSk67Wv1yRQRP4XSG3gTaz2sp7E6k1ZOyn2A3fjde77\nQpLHcRwCJFRCCCGEEEIIISRkuBuvy5z+F0IIIYQQQgghhJBhosQDIYQQQgghhBBCBEOJB0IIIYQQ\nQgghhAiGEg+EEEIIIYQQQggRDCUeCCGEEEIIIYQQIhhKPBBCCCGEEEIIIUQwlHgghBBCCCGEEEKI\nYCjxQAghhBBCCCGEEMFQ4oEQQgghhBBCCCGCocQDIYQQQgghhBBCBEOJB0IIIYQQQgghhAiGEg+E\nEEIIIYQQQggRDCUeCCGEEEIIIYQQIhhKPBBCCCGEEEIIIUQwlHgghBBCCCGEEEKIYCjxQAghhBBC\nCCGEEMFQ4oEQQgghhBBCCCGCocQDIYQQQgghhBBCBEOJB0IIIYQQQgghhAiGEg+EEEIIIYQQQggR\nDCUeCCGEEEIIIYQQIhhKPBBCCCGEEEIIIUQwlHgghBBCCCGEEEKIYCjxIICvvvpK7BA8RrEKJ5Di\npViFQbEKJ5DipViFQbEKJ5DipViFQbEKJ5DipViFEUix+pJfEg/bt2/HuHHjkJeXh9WrV/OWWbFi\nBfLy8lBUVIQjR474IyzBBFJnoliFE0jxUqzCoFiFE0jxUqzCoFiFE0jxUqzCoFiFE0jxUqzCCKRY\nfUnwxIPFYsHDDz+M7du349SpU3j77bdx+vTpAWW2bt2KsrIylJaWYuPGjXjwwQeFDosQQgghhBBC\nCCF+IHjiYf/+/cjNzUVOTg6USiUWL16MTz75ZECZLVu24J577gEAFBcXo729HQ0NDUKHRgghhBBC\nCCGEEIFxjDEm5AHef/99fP7553j55ZcBAP/+97+xb98+rF+/vq/M/Pnz8cQTT2DGjBkAgDlz5mD1\n6tW45JJLLgbKcUKGSQghhBBCCCGEkCFylVpQCH1wTxMGg4Mc/DqB8yOEEEIIIYQQQggRgOCPWmRm\nZqK6urrv39XV1dBoNC7L1NTUIDMzU+jQCCGEEEIIIYQQIjDBEw9Tp05FaWkpKioqYDQa8e6772LB\nggUDyixYsABvvPEGAGDv3r2Ij49HWlqa0KERQgghhBBCCCFEYII/aqFQKPD8889j7ty5sFgsWLJk\nCfLz87FhwwYAwLJly3DDDTdg69atyM3NRVRUFF577TWhwyKEEEIIIYQQQogfCD7jAQDmzZuHs2fP\noqysDE888QQAW8Jh2bJlfWWef/55lJWV4dixY5gyZYo/whLE9u3bMW7cOOTl5WH16tVih+PS/fff\nj7S0NEyYMEHsUNyqrq7G1VdfjcLCQowfPx7r1q0TOySnent7UVxcjEmTJqGgoKCvz0uZxWLB5MmT\nMX/+fLFDcSknJwcTJ07E5MmTMX36dLHDcam9vR0//OEPkZ+fj4KCAuzdu1fskJw6e/YsJk+e3Pd/\ncXFxkn6P/fnPf0ZhYSEmTJiAO++8EwaDQeyQnFq7di0mTJiA8ePHY+3atWKHMwDfd0BrayuuvfZa\njBkzBtdddx3a29tFjPAivljfe+89FBYWQi6X4/DhwyJG54gv3kcffRT5+fkoKirCrbfeio6ODhEj\nvIgv1ieffBJFRUWYNGkSrrnmmgGPw4rJ1e+W5557DjKZDK2trSJE5ogv1lWrVkGj0fR91m7fvl3E\nCC9y1q7r169Hfn4+xo8fj8cff1yk6Bzxxbt48eK+dh05ciQmT54sYoQX8cW6f/9+TJ8+HZMnT8a0\nadNw4MABESO8iC/WY8eO4bLLLsPEiROxYMEC6HQ6ESO8yNm4QIrfYc5ilfJ3mGAY8Rmz2cxGjx7N\nLly4wIxGIysqKmKnTp0SOyynvvnmG3b48GE2fvx4sUNxq66ujh05coQxxphOp2NjxoyRdNt2d3cz\nxhgzmUysuLiY7dq1S+SIXHvuuefYnXfeyebPny92KC7l5OSwlpYWscPwyN13381effVVxpitH7S3\nt4sckWcsFgtLT09nVVVVYofC68KFC2zkyJGst7eXMcbYokWL2Ouvvy5yVPxKSkrY+PHjmV6vZ2az\nmc2ZM4eVlZWJHVYfvu+ARx99lK1evZoxxtgzzzzDHn/8cbHCG4Av1tOnT7OzZ8+yq666ih06dEjE\n6Bzxxfvf//6XWSwWxhhjjz/+uKTbtrOzs+9/r1u3ji1ZskSM0Bw4+91SVVXF5s6dK6nvCL5YV61a\nxZ577jkRo+LHF+vOnTvZnDlzmNFoZIwx1tjYKFZ4Dtz9fn3kkUfYH/7wBz9HxY8v1lmzZrHt27cz\nxhjbunUru+qqq8QKbwC+WKdOncq++eYbxhhj//znP9mTTz4pVngDOBsXSPE7zFmsUv4OE4pfZjyE\niv379yM3Nxc5OTlQKpVYvHgxPvnkE7HDcuqKK65AQkKC2GF4JD09HZMmTQIAREdHIz8/H7W1tSJH\n5VxkZCQAwGg0wmKxIDExUeSInKupqcHWrVuxdOnSgNg9JhBi7OjowK5du3D//fcDsD1yFhcXJ3JU\nntmxYwdGjx6NrKwssUPhFRsbC6VSiZ6eHpjNZvT09Eh2MeIzZ86guLgY4eHhkMvlmDVrFj788EOx\nw+rD9x2wZcsW3HPPPQCAe+65Bx9//LEYoTngi3XcuHEYM2aMSBG5xhfvtddeC5nM9rOruLgYNTU1\nYoTmgC/WmJiYvv/d1dWF5ORkf4fFy9nvll/84hd49tlnRYjIOWexSvE7jC/Wl156CU888QSUSiUA\nICUlRYzQeLn6/coYw+bNm3HHHXf4OSp+fLGq1eq+GU/t7e2S+Q7ji7W0tBRXXHEFAGDOnDn44IMP\nxAjNAd+4QKvVSvI7zNkYRsrfYUKhxIMPabXa/9/e/cdUVcZ/AH/fO7hCAgE3QfRKEMbPC5df/shJ\nolCkbCQgag4YiK1wreGMCZYVWYi6MmySrklSM+zXGFog5C4/rjKH7Er9U8HsXtESSHQ1xATk+f7B\nuAu9F/36hc7B7/u1sTHO8Zw3Zxef83zO8zxn3M26RqPB77//LmGih5PZbMb58+exaNEiqaPYNDIy\ngvDwcHh6emL58uUIDg6WOpJNW7Zswd69ey03xHKmUCgQHx+P6OhofPLJJ1LHsclkMmHWrFnIzs5G\nZGQkXnzxRQwMDEgd674cO3YMGzZskDqGTe7u7ti6dSu8vb0xZ84cuLq6Ij4+XupYVmm1WhgMBly7\ndg0DAwP4/vvvZdPZtKWnp8eyuLOnpyd6enokTvRwKi8vx6pVq6SOMaHXX38d3t7eqKioQEFBgdRx\nbKquroZGo0FYWJjUUe7LRx99BJ1Oh5ycHFkMA7els7MTzc3NWLx4MWJjY9HW1iZ1pPtiMBjg6ekJ\nPz8/qaPYVFJSYmnH8vPzsWvXLqkj2RQSEmJ5iPr111/LZtrVv/27XyD3Nmw69GGmkvx7GtOIQqGQ\nOsJDr7+/H2vWrEFpaSmcnJykjmOTUqlEe3s7Ll++jObmZjQ2NkodyarvvvsOHh4eiIiIkOVTmDud\nOXMG58+fR21tLQ4cOACDwSB1JKuGh4dhNBqxefNmGI1GzJw5EyUlJVLHuqfBwUGcOHECaWlpUkex\n6cKFC/jwww9hNpvxxx9/oL+/H0ePHpU6llWBgYHYtm0bnn32WaxcuRIRERHTosA3RqFQsF2bAu+9\n9x5UKpWsC3zAaM6uri5kZWVhy5YtUsexamBgAMXFxSgqKrL8TM5tWW5uLkwmE9rb2+Hl5YWtW7dK\nHcmm4eFhXL9+HWfPnsXevXuxdu1aqSPdl8rKStn/beXk5GD//v3o6urCvn37LKMj5ai8vBxlZWWI\njo5Gf38/VCqV1JHG6e/vR2pqKkpLS8eN1ALk14ZNlz7MVJo+d0DTwNy5c8dVAi9dugSNRiNhoofL\n0NAQUlNTkZ6ejtWrV0sd5748+uijSExMlO2TgpaWFhw/fhy+vr544YUXoNfrkZmZKXUsm7y8vACM\nDvlMTk5Ga2urxIms02g00Gg0WLBgAQBgzZo102LhoNraWkRFRclqSO2d2trasGTJEqjVatjZ2SEl\nJQUtLS1Sx7Jp48aNaGtrQ1NTE1xdXREQECB1pAl5enqiu7sbAHDlyhV4eHhInOjhcuTIEdTU1Mi2\nWGbNhg0bZLP43Z0uXLgAs9kMnU4HX19fXL58GVFRUejt7ZU6mlUeHh6WztCmTZtk24YBo+1YSkoK\nAGDBggVQKpXo6+uTONXEhoeHUVVVhXXr1kkdZUKtra1ITk4GMHp/IOfPQUBAAOrq6tDW1ob169fL\naiTJWL8gIyPD0i+Qaxs2HfswU4GFh0kUHR2Nzs5OmM1mDA4O4ssvv0RSUpLUsR4KQgjk5OQgODgY\neXl5UseZ0NWrVy3DJ2/evIkffvhBNqsr36m4uBiXLl2CyWTCsWPHsGLFCnz22WdSx7JqYGDAspry\njRs3UF9fL9s3ssyePRvz5s1DR0cHgNF1E0JCQiROdW+VlZWymRdrS2BgIM6ePYubN29CCIFTp07J\neirTWAeoq6sLVVVVsn8Sl5SUhIqKCgBARUXFtLlBkvNT7jEnT57E3r17UV1dDQcHB6njTKizs9Py\nfXV1tWzbsNDQUPT09MBkMsFkMkGj0cBoNMqms3GnK1euWL6vqqqSbRsGAKtXr4ZerwcAdHR0YHBw\nEGq1WuJUEzt16hSCgoIwZ84cqaNMaP78+WhqagIA6PV6Wc/z//PPPwGMTiF+9913kZubK3GiUbb6\nBXJsw+6nDzMd2rBJIc2alg+vmpoa4e/vL/z8/ERxcbHUcSa0fv164eXlJVQqldBoNKK8vFzqSDYZ\nDAahUCiETqcT4eHhIjw8XNTW1kody6qffvpJRERECJ1OJ0JDQ8WePXukjnRfGhsbZf1Wi99++03o\ndDqh0+lESEiI7P++2tvbRXR0tAgLCxPJycmyf6tFf3+/UKvV41azl6vdu3eL4OBgodVqRWZmpmXV\ndTmKiYkRwcHBQqfTCb1eL3WcccbaAHt7e0sb0NfXJ+Li4sSTTz4pnnnmGXH9+nWpYwoh7s56+PBh\nUVVVJTQajXBwcBCenp7iueeekzqmhbW88+fPF97e3pY2LDc3V+qYQgjrWVNTU4VWqxU6nU6kpKSI\nnp4eqWMKIe593+Lr6yubt1pYu64ZGRkiNDRUhIWFieeff150d3dLHVMIYf26Dg4OivT0dKHVakVk\nZKRoaGiQOqaFrc9BVlaWOHTokMTpxrP2/+y5c+fEwoULhU6nE4sXLxZGo1HqmEII65/Z0tJS4e/v\nL/z9/UVhYaHUES1s9Qvk2IZZy1pTUyPrNmyqKIT4/1JiISIiIiIiIqL/GqdaEBEREREREdGUYeGB\niIiIiIiIiKYMCw9ERERERERENGVYeCAiIiIiIiKiKcPCAxEREd1TfX09Vq5cicceewyOjo4ICAhA\nQUGB5fXBY7q7u5GUlAS1Wg2lUon9+/cDAE6cOIHQ0FA4OjpCqVTi77//nrRsR44cwaeffjppxyMi\nIqLJxbdaEBER0YSKi4vxxhtvIDk5GZmZmXB3d0dbWxt2794NZ2dnNDQ0QKPRAAA2b96ML774AhUV\nFfDy8oKPjw/UajXc3NywdOlSbN++HSqVCtHR0VAqJ+f5R2xsLG7fvg2DwTApxyMiIqLJxcIDERER\n2dTQ0ID4+Hjk5eXh/fffH7fNbDYjKioKOp0Oer0eALB8+XIIIdDY2GjZ7+LFi/D19cXhw4eRnZ09\n6RlZeCAiIpI3TrUgIiIim/bs2QO1Wo1du3bdtc3HxwcFBQVobGxEa2srlEolmpqa0NzcDKVSCaVS\niezsbPj6+gIAcnJyoFQqsWLFCgBAXV0dlixZAldXVzg7OyMwMBA7d+4cd44ff/wRSUlJcHd3xyOP\nPIKlS5fi9OnTlu2xsbFobm7GmTNnLOccOz4RERHJA0c8EBERkVXDw8NwcXFBcnIyjh49anWfX375\nBcHBwXj77beRkJCAl156CXZ2digrKwMAeHl5obW1FWlpadixYwcSExPh4uIClUqFoKAgrF27FhkZ\nGVCpVOjo6IDJZLIUOYxGI2JiYhAVFYW8vDw4Ojri4MGDqKurQ0tLCyIjI/Hzzz8jPT0dIyMjOHTo\nEADAxcUFgYGB/81FIiIionuykzoAERERyVNfXx/++ecf+Pj42NxnbFtvby8WLVoEJycnqFQqLFy4\n0LLPrVu3AAB+fn6Wn3/zzTcYGhrCxx9/DCcnJwCjoxf+LT8/Hz4+PtDr9bCzG71lSUhIgFarxc6d\nO1FVVYWgoCA4OztjZGRk3DmJiIhIPjjVgoiIiP5zERERsLe3x7p16/Dtt9+it7d33PabN2+iubkZ\naWlpAEZHXwwPD2NkZARxcXFobm6WIjYRERE9ABYeiIiIyCq1Wg0HBweYzWab+4xtmzdv3v/q2H5+\nfqirq8PIyAgyMjLg5eWFp556ylJQuHbtGm7fvo133nkHKpVq3NeBAwfueo0nERERyRenWhAREZFV\ndnZ2WLZsGerr63Hr1i3MmDHjrn2OHz8OAA+0oGNsbCxiY2MxNDSE06dP480330RiYiIuXrwIV1dX\nKJVKvPLKK8jMzPw//y5EREQkHY54ICIiIptee+019PX1Yfv27XdtM5lM2L17N5YtW4YFCxY88Dns\n7e2xfPly5Ofn48aNGzCZTJg5cyZiYmLQ3t6OiIgIREZG3vU1ZsaMGRgYGHjg8xMREdHU4ogHIiIi\nsikuLg5FRUV46623YDabkZGRATc3NxiNRpSUlMDNzQ2ff/75uH9zPy/MOnjwIAwGA1atWgWNRoOr\nV69i165dmDt3LrRaLQDggw8+wNNPP42EhATk5ORg9uzZuHr1KoxGI0ZGRixvvwgJCUFZWRm++uor\nPPHEE3BxcYG/v//kXwwiIiJ6ICw8EBER0YR27NiBhQsXYt++fdi4cSMGBgbw+OOPIysrC4WFhXB1\ndbXsq1AooFAo7nnM8PBwnDx5EoWFhejt7YW7uztiYmJQWVlpmdIRERGBc+fOoaioCK+++ir++usv\nzJo1C1FRUXj55Zctx9q2bRt+/fVXbNq0Cf39/YiNjYVer5/8C0FEREQPRCHu57EEEREREREREdED\n4BoPRERERERERDRlWHggIiIiIiIioinDwgMRERERERERTRkWHoiIiIiIiIhoyrDwQERERERERERT\nhoUHIiIiIiIiIpoy/wOmR9hvH3YJiQAAAABJRU5ErkJggg==\n", "text": [ "" ] } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [], "language": "python", "metadata": {}, "outputs": [] } ], "metadata": {} } ] }