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# hkrish/The Bezier Clipping Algorithm Created Jan 13, 2015

An introduction into Bezier (fatline) clipping algorithm.
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 { "metadata": { "name": "", "signature": "sha256:593eded11564f2566908360259a51aa16c6bc5e39fff248061988cc58caf5721" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "#The Bezier Clipping Algorithm " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "####Contents\n", "- a\\. [Introduction](#A)\n", "- b\\. [Prerequisites](#B)\n", "- 1\\. [Overview of the bezier clipping algorithm](#1)\n", " - 1.1 [Intersections of bezier curves](#A.1)\n", " - 1.2 [Fatline of a bezier curve](#1.1)\n", " - 1.3 [Finding intersections using fatline](#1.2)\n", " - 1.4 [The clipping process in detail](#1.3)\n", " - 1.5 [Multiple intersections](#1.4)\n", " - 1.6 [The complete algorithm](#1.5)\n", "- 2\\. [The run-time behaviour of the bezier clipping algorithm](#2)\n", " - 2.1 [Generating test data](#2.1)\n", " - 2.2 [Rate of convergence](#2.2)\n", " - 2.3 [Effect of parameters](#2.3)\n", "- 3\\. [Conclusions](#3)" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Introduction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Bezier clipping or fatline clipping is a *fast and efficient* algorithm to find intersections between two bezier curves.\n", "[Paper.js](http://paperjs.org/) contains a javascript implementation of the bezier clipping algorithm based on the paper published by Sederberg T., Nishita T. (http://nishitalab.org/user/nis/cdrom/cad/CAGD90Curve.pdf). The [implementation](https://github.com/paperjs/paper.js/) currently assumes cubic bezier curves.\n", "\n", "This post attempts to explain the algorithm and its run time characteristics and behaviour. Especially what our implementation of the algorithm does and what it does not." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Prerequisites \n", "\n", "If you want to run this notebook locally; I would highly recommend it.\n", "\n", "Along with all the usual stuff \u2014IPython, Numpy, matplotlib, you would need the following.\n", "\n", ">Copy [bezclip_manual.py](https://gist.github.com/hkrish/5ef0f2da7f9882341ee5) into the same folder as this Ipython notebook. \n", " (STATUTORY WARNING: code contains nonidiomatic, javascript-like python).\n", "\n", "The file **bezclip_manual.py** is a direct translation of paper.js implementation of bezier clipping into python from javascript.This javascript $\\leftrightarrow$ python change should not affect the behaviour of the algorithm discussed below in any significant way. The running time, memory used etc. might change however. The file also contains some not-so-interesting matplotlib code used to draw stuff.\n", "\n", "Import the things we need." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "import numpy as np\n", "from numpy.random import random\n", "\n", "import matplotlib\n", "import matplotlib.pyplot as plt\n", "from matplotlib.path import Path\n", "import matplotlib.patches as patches\n", "\n", "from IPython.html.widgets import interact, interactive, fixed\n", "from IPython.html import widgets\n", "from IPython.display import display" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "%load_ext autoreload\n", "%autoreload 1\n", "%aimport bezclip_manual\n", "\n", "# copy bezclip_manual.py into the same folder as this Ipython notebook\n", "import bezclip_manual as bezutil" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Some configuration options." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# NOTE: Comment the following line if you are viewing this on a low DPI screen\n", "%config InlineBackend.figure_format = 'retina'\n", "matplotlib.rcParams['figure.figsize']=(8.0,6.0)\n", "matplotlib.rcParams['font.family']='Source Code Pro'\n", "matplotlib.rcParams['font.size']=12" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "1 Overview of the bezier clipping algorithm [TOP] " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For the purpose of explanation we have to make some basic assumptions. Also I am assuming you are familiar with how bezier curves are defined and their basic properties.\n", "\n", "1. When we talk about curves, it means specifically a $3^{rd}$ degree bezier curve (cubic bezier curve) expressed in parametric form.\n", "2. A curve is defined by 4 control points or control vertices $(P_0, P_1, P_2, P_3)$\n", "3. Then the explicit mathematical equation for curve $B$ \n", "$$\n", "\ \\tag{1}\n", "{\\bf B(t)} = \\sum_{i=0}^{3} \\underbrace{{3 \\choose i}}_{\\text{binomial c.}} (1-t)^{(3-i)}.t^i.\\underbrace{P_i}_{\\text{CVs}}\n", "\\\ ~~~~~~|\\ t = [0, 1]\n", "$$\n", "4. $t$ is called the curve time parameter. For the curve above, $t$ varies between 0 and 1 inclusive.\n", "5. The *baseline* of a curve, denoted by $\\bf L$ is just the line connecting the start and end points of the curve." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "1.1 Intersections of bezier curves [TOP] " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can largely group all possible intersections between two bezier curves A and B, into the following.\n", "\n", "1. **Crossings** \u2013 The intersections between A and B are well *spaced* w.r.t. the error limit ($\\epsilon$) chosen in the intersection finding algorithm.\n", "2. **Tangential intersections** \u2013 Either A and B come very close to ($<\\epsilon$) each other and then diverge, or A and B has a pair of intersections which are very close to each other ($\\simeq\\epsilon$)\n", "\n", "The original bezier clipping algorithm, as detailed by Sederberg et. al. handles only **crossings**, though they extend the algorithm by introducing various concepts such as *Focus of a curve*. In this notebook, an intersection means a crossing, we are not going to deal with tangential intersections now." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "1.2 Fatline of a bezier curve [TOP] " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Fatline is just a *wide* line that completely contains the curve, it is represented by two lines parallel to the curve's baseline $\\bf L$ of the curve, at distances $\\bf d_{min}$ and $\\bf d_{max}$ on either side of $L$." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# v is the array containing of 4 coefficients of a cubic bezier curve.\n", "# v = [x0, y0, x1, y1, x2, y2, x3, y3]\n", "def getFatline(v):\n", " \"This method returns a tuple containing maximum and minimum offset width for the 'fatline'.\"\n", " # Starting point of the curve\n", " q0x = v[0] \n", " q0y = v[1]\n", " # End point of the curve\n", " q3x = v[6] \n", " q3y = v[7]\n", " # Calculate the fat-line L, for Q is the baseline l and two\n", " # offsets which completely encloses the curve P.\n", " d1 = bezutil.getSignedDistance(q0x, q0y, q3x, q3y, v[2], v[3]) or 0\n", " d2 = bezutil.getSignedDistance(q0x, q0y, q3x, q3y, v[4], v[5]) or 0\n", " factor = 3. / 4. if d1 * d2 > 0 else 4. / 9. # Get a tighter fit\n", " dMin = factor * min(0, d1, d2)\n", " dMax = factor * max(0, d1, d2)\n", " # The width of the 'fatline' is |dMin| + |dMax|\n", " return (dMin, dMax)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using the above method we can draw a fatline around a bezier curve." ] }, { "cell_type": "code", "collapsed": false, "input": [ "curve = np.array([-50., 0., -25., 20., 25., -20., 50., 0.])\n", " \n", "def drawFatlineI(x2=curve[2], y2=curve[3], x3=curve[4], y3=curve[5]):\n", " fig = plt.figure(figsize=(6, 6))\n", " ax = fig.add_axes([0., 0., 1., 1.])\n", " ax.set_title('The fatline of a curve');\n", " ax.get_xaxis().set_visible(False)\n", " ax.get_yaxis().set_visible(False)\n", "\n", " crv = np.array([curve[0], curve[1], x2, y2, x3, y3, curve[6], curve[7]])\n", " # Get the fatline\n", " fatDist = getFatline(crv)\n", " dmin, dmax = bezutil.drawCurve(ax, crv, '#e74c3c', fatcolor='#9b59b6', fatdist=fatDist, setsize=True)[1]\n", " \n", " # Annotate dMin, dMax etc.\n", " bp = curve[6:]\n", " dminE = dmin[2:]\n", " dmaxE = dmax[2:]\n", " ax.annotate(\"\", xy=bp, xytext=dminE, arrowprops=dict(arrowstyle=\"<->\", shrinkA=0))\n", " mid = (bp + dminE)/2.\n", " ax.text(mid[0]+1, mid[1]-1, '$d_{min}$')\n", " ax.annotate(\"\", xy=bp, xytext=dmaxE, arrowprops=dict(arrowstyle=\"<->\", shrinkA=0))\n", " mid = (bp + dmaxE)/2.\n", " ax.text(mid[0]+1, mid[1]-1, '$d_{max}$')\n", " \n", " \n", "step = 5\n", "interact(drawFatlineI,\n", " x2 = widgets.FloatSliderWidget(min=-100.0, max=100.0, step=step, value=curve[2], description=\"x2\"),\n", " y2 = widgets.FloatSliderWidget(min=-100.0, max=100.0, step=step, value=curve[3], description=\"y2\"),\n", " x3 = widgets.FloatSliderWidget(min=-100.0, max=100.0, step=step, value=curve[4], description=\"x3\"),\n", " y3 = widgets.FloatSliderWidget(min=-100.0, max=100.0, step=step, value=curve[5], description=\"y3\"));" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": { "png": { "height": 461, "width": 446 } }, "output_type": "display_data", "png": 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Od0kAAADwDIEP6GEumdS2B+5S1ZzfSWKZAQAAAHQfAh/Qg1LlZSq/+VolPpwf\nLiQ+8wrlnXJ6usvyUlBVJcvOIkgDAIA+jcAH9JDE0kUqu/FqBaUbFSsarMJZP1HO5P3TXZaXXBCo\n4mfXK9haocJZP1F8yNB0lwQAAJAWTNoC9IDql5/T5qsuUVC6UdkTp2jIbb8i7HWjYEupEsuXKrFo\noTZfMUO1H3+Q7pIAAADSgnX4gG7knNO2+2er6uknJTFerycFFWUqv/nHqv3gvbD77EWXK2/6Geku\nCwAAoMNYhw/IUGYmy8oKA8el39egy64i7PWQ2KAiFf3Xrco7/WtSMqmtd/9MFXf+VC5Rm+7SAAAA\negwtfEA3c6mUkquWK3v8Xukupc+qfvk5Vdx1i1QbLoHBuD4AANCbdKaFj8AHoE9g0hwAANBbEfgA\noB0Y1wcAAHojAh8AtJNLJrXtwbtV9fSTsvyBGnrPrxUvLEp3WQAAAK0i8AFAB1W//JxihUXqd8gR\n6S4FAACgTQQ+AAAAAPAUyzIAPcwlk6p6fo5cEKS7FAAAAKBVWekuAOhtUuVlKr/5WiU+nK9gS6ny\nz70g3SUBAAAALSLwAR3QfGr/nIMOS3dJAAAAQKsIfEA7Vb/8nCruvEVKsHg3AAAAegcCH7ALLpnU\ntgfuUtWc30mSck/+sgpmXi7LzklzZegpQUWZYoNYugEAAPQ+BD6gDY3H6ykrSwUzr1DeKaenuyz0\noFR5mTZf8a/qd+gRBH0AANDrMEsn0IrE0kXafMW/KvHhfMWKBmvwf99B2OuDkp8uVrC1XNXPz9GW\nWd9VanNpuksCAABoN9bhA1pQ/dqLqrj9JsbrQdLOk/UUzvqJcibvn+6yAABAH8E6fEAXiw3Il5IJ\n5Z78ZQ2+6Q7CXh+XvddEDf3f+5Wz/8EKyrZoy9XfVdWzf0x3WQAAALtECx/QisSyJcrec+90l4EM\n4pJJbXvwblU9/aQkJvABAAA9ozMtfAQ+AOig6pefU8Vdt0i1dPkFAADdj8AHAD2McX0AAKCnMIYP\nAHpY83F92x6+ly/BAABAxqGFDwA6wSWTqnzsIeVNP5NunQAAoFvQpRMAAAAAPEWXTqCdque+pFR5\nWbrLAAAAAHpEVroLAHqCSya17YG7VDXnd8rZ/2AV3XCbLB5Pd1kAAABAtyLwwXup8jKV33ytEh/O\nl7Ky1H/aCYQ9AAAA9AkEPniNqfMBAADQlxH44K3ql59TxZ23SAkWx0bmSJWXKV5YlO4yAABAH8Gk\nLfCOSyYDz1DuAAAgAElEQVS19b7bVXHbjVKiVrknf1mDb7qDsIe027HgXW2a8TVVPfvHdJcCAAD6\nCFr44JXm4/UKZl6hvFNOT3dZgCQpsfB9qXaHtt79MyU+XaSCmZfLsnPSXRYAAPAY6/DBG4kVn6rs\n+qsYr4eMVv3yc6q46xaplq7GAACgfViHD5AUG1ggpZLKnjhFQ277FWEPGSn3uFM05Oa7FSsersSi\nhdp8xQzVfvxBussCAACeooUPXkmuXqn4iD3oJoeMF1SUqfzmH6v2g/fC7scXXa686WekuywAAJCB\nOtPCR+ADgDRxqaS2PXC3qp5+UpKUe/KXGdcHAAB2QuADgF6sybi+Sfup8Ic3MK4PAADUYwwfAPRi\nTcb1ffKhqv8yJ90lAQAAT9DCBwAZIqgo0/Y/Pqn8f54hi8fTXQ4AAMgQdOkEAAAAAE/RpRNeSyxd\npNqFC9JdBgAAANDrZKW7AF+9PHu+lr25Pt1l9HqjEh/ogJo/K2n9NDfvQtXECtJdEgAAALrBwWft\npUPP3jvdZXiHLp3dZOU/NqS7hN4tlVT8L48oa96fw7uHnKDkqTOkrOw0FwYAAICu9pvfP6q7H75d\nTz31lA4//PB0l5NxGMOXgQh8nVBZoewnf67Yyo/kYllKnjpDwWEnprsqAAAAdINUKqWDj5+srZVb\nNXXqVM2bNy/dJWUcxvDBG7buU+Xc94Mw7OUXKnH+dYQ9oCVBIG2vSHcVAAB02jMv/FFbK7dKkt5+\n+219/PHHaa7ILwQ+ZIzY/FeV/asfybaWKijZR7UX/VRuzKR0lwVkpPhrTyrnnu/JVn2S7lIAANht\nqVRKt//y1vr7zjndcMMNaazIPwQ+pF8qqfizDyj7D3fKUgmlDjlBifOvlwoGp7syIDOlUoqt/FhW\nWa7sh65T7J0X0l0RAAC75ZkX/qhlK5dqQF6+JCkej+uxxx6jla8LEfiQXjXblf3Ifylr3p/lYllK\nfGmmkqdfzOQsQFvicSW+9SMljzhNFiSV/cy9ynr6F1Iyke7KAABot8ate1Mm7idJ+vznP08rXxcj\n8CG9svtL8SzG6wEdFc9SavoFSnzl3+SychR/90VlP/RjaeuWdFcGAEC71LXujR41RuPH7ClJmj59\nurKzs2nl60IEPqRXPK7E2VcwXg/YTcGBxyhx4Q1yBUMVW7NYOfddxbg+AEDGa9y6d9kFlysWC2PJ\n4MGDNWPGDFr5uhCBD+mXN5DxekAnuJETVDvzZgXjpjCuDwDQK9S17pWMHK2zvvS1JvtmzZpFK18X\nIvABgA8GDFLiW9cwrg8AkPEat+7924VXKLvZ3A1jxoyhla8LEfgAwBfNxvXF3n1JtnZJuqsCAKCJ\nv749t9XWvTqNW/k2bdrUwxX6JSvdBQAAulZw4DFKFJfI1i6VG7tvussBAKCJ8WP21JGHfV6XnP/d\nnVr36owZM0a33nqrXnnlFeXn5/dwhX4h8AGAh9zICXIjJ6S7DAAAdjJ65Bj99hf/b5fHXXbZZbrs\nsst6oCK/0aUT3aOyQrH3X0t3FQAAAECfRgsfupytXarsx38m21qqRG6+gn0OTXdJAAAAQJ9E4EOX\nis1/VVlz7pWlEgpK9lEwYny6SwIAAAD6LAIfukYqqfjzDyvrrWfDu4eeqOT0C6VWBuICAAAA6H4E\nPnReZYWyn/y5Yis/kotlKXnqDAWHnZjuqgC0V3WllN2PL2gAAPAQgQ+d0ni8nssvUuKfrpQbPTHd\nZQFor1RS2Y/fIiUTSpxzpVQwON0VAQCALsQsndhtsfmvKvuBa2RbSxWU7KPai24m7AG9zdbNsi0b\nFFuzWDn3XSVb9Um6KwIAAF2IwIeOc07x5x5U9h/ulKUSSh16ohLnX0/LANAbFQ1X7cybFYybIqss\nV/ZD1yn2zl/SXRUAAOgiBD50nJmUVyAXy1LiSzOV/PJMxv4AvdmAQUp86xoljzhNFiSV/cx9ynr6\nF1Iyke7KAABAJzGGD7sl9YWzFEyaKjdsdLpLAdAV4llKTb9AbuSeyppzr+LvvijbuIpxfQAA9HIE\nPuweMz/DXiopba+Qba+QaqpkO6qlHdVSbbVsR5W0o0baUSWrjW7r9qeSUpCSgpQslar/uX5r/JhM\niselWFyKZ4VbLC4Xj0ux6H7j/bG4XP1j0W12f7m8fCl3oFxuvpQ3UC53oJSbL5cX3tLqit0RHHiM\nEsUlyn7slvpxfYlzrpQbMyndpQEAsEsvvfSSrr76ar333ntKJpN66qmndOaZZ6a7rLQi8KFvqKmS\nlW+UbdsiVVbIKsul7eWy5j9Xb+uZeoLkTg9ZFz+Fy+4v5eWHgTB3YH0QbB4MmwTG/gPCQIk+zY2c\noNqZNyv7yVsVW7FQ2Q9dp+SpFyo47KR0lwYAQJuOP/54zZs3T6effrr+/Oc/a9q0aekuKe0IfPBD\nKhXONli2odm2MbztqSCXQSxRI1XUyCpKO3Sey82XGzRUblCxXGGxFN26QUPD+3kF4ThO+C0a1xf/\ny6PKmvcnZb3yhGqnHBW2HgMAkOHefvtt7bvvvho8mGEJBD70LsmErHStbOMq2YZVsg0rFdu8Tqoo\nlQWpdFfnBauulFVXSp+taHG/y+4nN6hYKmwIhY1vNbAw7I6K3q/RuD5XOIywBwDoFZYuXaoNGzbo\n7LPPTncpGYHAh8zknFRRqtjGMNTZhlVhyCtd263BzsnC7o35hWF3x365Uk6u1C9355/75cpF95WV\nHYacaNydi8XC8XaxWDQOr9F9qWHMXyoV/ZxsGPuXSjban2wYFxgdp1QqHFNYtU2qC2dV28JWzOrK\nhsdd0C3vkSV2yErXSKVrWn4PY3GpYEizIDi0IRAOGsr4wl4mOPCYdJcAAEC7vfHGG5KkY47h/18S\ngQ+NpZKKvfNCOE6np8dx1VTJ1i5VbPUixVYvkq1dIqvZ3mWXd7GsqHviULn8wjDQDRi008/KK+iZ\n195C4HFtHN7WvpZPcNKOKqmqsiEIthAMG36uDG9rKjv6TDuxICWVb5SVb2y5NIvJDR4hV1wSbkPr\nbkdKOf07/fwAAKBvI/A1ReBDqLJC2U/+XLGVHylZvlGpk8/rvudyTtryWRju1iyWrV4UtuB1PNY0\nveyAQrmiYdE2vMmmgUV9q5uhWTgBS/8BchouqZ2hMUiFk9pUbJKVb4puS6WKTeGkN+Wl4djAzpTm\nAtnmddLmddInbzXZ5wqHKRg6qlEYDH+mKyEAAGjJE088odtvv13OOWVnZ2v27NmaO3euJk+erOLi\n4nSXlxEIfJCt+1TZj90i21oql1+kYN/Pde0TOCcrXavY0vmyFQvDFryqrbt/uYKhCoaPkRs2Rq7u\ndvAIWoe6QiwuFQyWKxgsN3rizvudC1sC68PgpigMbpJVlIa3nZggx8o3Kl6+UVr6XtOnzS+sbw0M\nikfJFY+WGzpKyi9kAhkAAPqoK6+8Uvfee69eeuklTZ06VevXr9eZZ56pJUuW6OKLL053eRmDwNfH\nxea/qqw598pSCQUl+3TdIsvV2xVb/oFiS+cr9un8Ds8UKUkuJ7c+0AXDx9b/TGtPGlk0xjFvoNzI\nPVs+Zkd1GP4qNkmNg2BdMNy2peNPW1keLp+x/EM1bqd1/fPlikc1dAstHqWgeHQ4TpAgCACAt372\ns5/p1ltv1SOPPKKpU6dKkvbYYw8de+yxevvtt+nO2QiBr69KJRX/yyPKmvfn8O6hJyo5/cLdn0wj\nSMnWLWsIeGuWdHjSkKC4RK5kooLR+8iNniQ3ZI+GSU7Qe/TLlRs2Wm7Y6Jb311SFk+9sWiMrXSPb\ntFaxTWuksg0d7tZrNZWy1Yuk1YuaPO5yB8rtMV7BHnvK7bGngj3GS0XD+Tz1hG1lYRdqAAC6yYoV\nK3Tttdfq4IMP1je/+c0m+zZt2iSJ8XuNEfj6okbj9VwsS8lTZyg47MSOXyeZUOzT9xVb+DfFlrwb\nTgrSTi6nv9yovRWMnig3eh8FJfvQctdX9M+TK9lbrmTvpo8ndsg2r4+C4FrZptWyTWvDx1pYqL4t\nVr1NtmyBYssW1D/m+uXJjRgXhcDxcnvsKTdkJAvNd6XyTcq57wcKJk1V8tQZzMYKAOgWs2fPVk1N\nzU5hT5JeffVV7bPPPhoxYkQaKstMBL4+pul4vUIlzrlSbsyk9l8gmVBs2YIw5H3ytmxHVbtOc1k5\ncuP2VTDhIAXj9wtbf/rSJCrYtex+ciPGyY0Y1/TxVFJWtiEMf5tWN2odXCtL7Gj35W1HlWzlR4qt\n/Kj+MZeVEz5nfWvgeLni0QSV3RTbsFKqrVH83RdlG1d1XRdxAAAaeeKJJ2Rmmj59epPHV61apRUr\nVujb3/52mirLTAS+PiT24d+U9fvZHR+vl0yE4/EWvqnYJ2+1e7mEoHi0gr0OUjDhQLmxk6Xsfp18\nBeiT4lnhbJ1DR0mTpzY8HgTS1s2K1bUElq6RbVwdzvjazplELVkrW7NYWrO4fmygi2WF40XrQuCI\n8XLDx0o5fH53JZh4mBIX3qDsx25RbM1i5dx3Vce/VAIAoA3btm3T2rVrVVhYqEmTmv7/5ZVXXpFE\nd87mCHx9iBtYJLlAqUNO2HV3qyCQrVio+ILXw5a8dqzP5vrnK9hz/yjkHSQNGtKF1QPNxGJSYbGC\nwmJp70MaHg9Ssi2fydYvl61fptj6ZeHP7fyiwoKkbP0yaf0yxfWSpGjtwKGj6ruCBqP2kttjTyk7\npzteWa/mRk5Q7cyblf3krYqtWKjsh65T8tQLw/U9AQDopGQyHOaxzz777LTv1VdfldQQ+M455xw9\n8cQTPVZbpiLw9SFu7GQlvvPzcF2z1lSWKz7/FcX/8ZKs7LNdX3PAIAWTP6fUlCPlxkxmPBTSLxZv\naBHc/2ilpHA5ifKNikUh0NYvD4Pg9op2XdJcINu0Wtq0WlrwuqSoJXCPcQpKJsqVhONRmR00MmCQ\nEt+6RvG/PKqseX9S9jP3KbVuGeP6AACdVlRUpJKSEsWaTcT2/vvv66mnntKYMWM0atQobdq0SQMH\nDkxTlZmFwNfHtBj2gkC2bIHi/3hRsUVvy4JU29fIK1Cw7+eUmnJU2FWTsXjIdGZS0XAFRcOlunUm\nnZO2lTW0AK5fFgbCre1bQsSCpGztUsXWLpXmRZfML1JQsrfc6Inh7cgJfbcrczxLqekXyI3cU1lz\n7mVcHwCgy/zgBz/QlVdeqTVr1qikpETvvfeevv/97+voo4/W4sWLJUl33nln/aQuP/7xj7Vw4UKd\nf/75isfjmj9/vsrLy7Vhwwb94he/0F133aXa2lrNnz9f559//k5jA9etW6cbbrhBY8aM0ebNm5VI\nJHTAAQdoxowZkiTnnG677Tbt2LFD77//vm666SY99NBDSiaTKioq0pVXXtmzb1AzBL6+bOuWsDXv\n3Zdk5RvbPNTlFSiYfETYkjd2Ci156P3MpILBCgoGSxMPa3h8e0XYAvjZ8oYguGXXrd2SZJVlin/y\nlvTJW5IkF4uHk8KUhDPRBqP3kQqH9alWwODAY5QoLmFcHwCgy1x66aXauHGjTjzxRA0fPlyTJ0/W\nU089pcrKSp177rk6/PDDdfDBB+uLX/yiXnzxRZ100kkaNmyYLrnkEt12222aNWuWJGnIkCGqqanR\n7NmzVVxcrDlz5uhHP/pRk8BXWlqqY489Vvfff7+mTZumefPm6cgjj9Tzzz9ff8w999yjM844QxMm\nTNCNN96oo48+WgsWLNDll1+uF198kcCHHuacbOVHiv/9T4oteqfNtfJcPCvsrnnwF+XG7UfIQ98w\nYJDcXgcptddBDY/VbJd9tiJsDVz7qWJrFu/ySxJJsiAlW/eptO5Txd96VpLkBhSGrX9RAHQjJ0g5\n/bvr1WQEN3KCai+6uX45mPjcp5T856vTXRYAoBe7/vrrdf311zd5rKCgQK+99lqTx5YsWaKLL764\nfoH2r371q5KkVCql6upqnXfeeSouLpYkbd++Xc41XRP4qquu0gEHHKBp06ZJkoYOHapYLKbPfe5z\n9cc45zRhwgRJ0saNG3X88cdryJAhuuaaa5SXl9e1L3w3EPj6iiBQ7JO3FP/rHxVbu6TtQ4eOUnDo\nCUodcIw0oKCHCgQyWP8BcuOmKDVuSsNj28oUW7NEtmZReLt2qSxZu8tL2fZyxRe9LS16W1I0Iczw\nsdF6lGFXUA0e4V8rYP4gJf7lWsXnPqXU1Om7Ph4AgC7wne98R5I0d+5cXX11w5eN7733niTpxBMb\n1qL+61//qsMOa+j1s2XLFv3617/Www8/XP/Y3LlzNWXKlCbjAy+99NL6n994443652xpYpl0IPD5\nLplQ7P3XFP/b04ptXtfqYS6erWDKkUodekI4+Ypvf2wCXW1gkYLJU6XJU8OJYVJJ2YaVsjWLFVu9\nOGwFLNuwy8uYC2SfLZc+W67422H3EJdXoGDMJLmx+yoYO1lu+Dg/WtjjWUode066qwAA9DGlpaVa\ntGiRvvCFL9Q/NnfuXB1xxBHKygrjkHNOTz/9tG6//fb6Y958800lEomdzjvqqKNafJ6Kigq9//77\nOvroo7vpleweAp8HYh+8oWDMpHCGwDo12xV/5wXF//4nWWVZq+cGxaOj1rxpUh4zGQG7LZ4lN3KC\n3MgJCupasCorwuC3JgqAa5e2a7F4q9radCxgTq7cmIkKxu6rYOy+YTdQZrsEAKBd3njjDY0cOVJj\nx46tf+z1119vEuT+9re/acuWLZo+fboeffRRfeUrX1FNTY3y8vI0atSo+uPmzp2ra665RkuXLtXi\nxYt10kkn6fXXX9dxxx2nN954Q4MGDapfH3DhwoVav369TjjhhJ57sS0g8PVmqWT9tOfByAlKzLhR\nqtqm+N//pPg7f5HtqGr91L0PUerzZ4azbNKaB3SP/EEKJh0uTTo8agVMyTaulK1ZotjqRWEQbMeE\nMFZbLVs6X7Gl8yVJLitHbtReDQFw9D7ejwMEAGB3zZ07t34MXp2//vWvuuSSS+rv//3vf9dRRx2l\nfv36ae3atcrPz9cRRxyhIAi0fft2DRgwQHfccYdWr16tvffeW88//7zOPfdc3Xvvvfre976nsrIy\nPfvss/XjAYMg0KOPPqobbrihR19rSwh8vdX2ivqFjV0sS6n9v6D4K4+HLXqtjCNysbiC/Y9W6qgz\n5IaP6eGCASgel9tjz3Dx9sNPDh/bvnXnVsDamjYvY8la2cqPFFv5kaRoNtA9xofhb+y+YYt/bn53\nvxoAAHqFtWvX6mtf+1r9/S1btmjgwIH6/Oc/X//YaaedpmeffVbXXXedLrroIklSSUmJZs+ere99\n73saMWKEpk2bpmuvvVZ33323jjjiCA0ePFjHHHOMzj33XN10000677zz1L9/f82aNUuxWEwXXXSR\nsrPT3yPHms9E066TzJyknWaxQYOV/9j12J3dZes+VfZjt8i2lsrlFyq175GKfzBXVl3Z4vEuu79S\nhx6v1Oe+JBUWd1tdALpAKiXbsFKxlR/JVn2s2MqPZVVbO3QJJ5MbPkZuzOSoFXCyNLComwoGAKDz\nZt14pX77+//TvffeWx+40MCiHnnOuQ53zaOFr5eJvf+asubcK0vWKigaIUvsUFY03XtzLq9AqSOm\nK3X4KYzPA3qLeFxu5J5KjdxTOvJL4VIqpWvrW/RiKz+Wbd3c5iVMTrZhpbRhpeJvPydJCgbvUT8J\nTDB2cu9YD3DrFhZpBwCgkwh8vUWj8XqS5PoPUKys5bE/Lr9QyS98VcHBx0k5/XqySgBdzUyuuESu\nuETBYSdJzknlmxrC38qPFNuyfpeXiW1ZL21Zr/h7L0mSXMEQBeOmKBi/v4Lx+2Vc639s0TvKeuLn\nSk6/IHzdAABgtxD4eoPG4/UkmSSr2b7TYS4nV6mjz1Tqc6cxgQPgKzOpaJiComEKDjo2fGxbmWJ1\n3T9XfiTbsEqmtrvc29bNii94XfEFr0uSXNEIBeOjADhuStq7gNqaJbJUQtnP3KfUumVKnjqDmUkB\nwCMrVi/XmFFjFYvFWj1m+/btKisrU0lJSQ9W5h8CX4azjauV/egNsm1bwvstHOPiWUodfopSXziL\nhdKBvmhgkYIpRymYEq0LVLUtnAV05cfhWMB1n8pc0OYlrOwzxcs+U/zdsAUwKC6Ri1r/grH79ni3\n8NTx58oNHamsOfcq/u6Lso2rlDjnSrp4AoAH/vbOG/rGxWdrxjdm6pr/uL7FY5xzOvXUUzVv3jyt\nWrVKw4YN6+Eq/UHgy2RBIFs6X9rW8jp6TqbgwGlKfvHrGdcdC0Aa5Q1UMPEwaeJh4XIQO6rDpSBW\nfqTYqo/D1rNWZvOtE9u0Rtq0RvG3ng0ngdljvIJxU8IQOHay1C+3219GcOAxShSXKPuxWxRbs1g5\n912lxDlXyo2Z1O3PDQDoPsOHjpCZ6dEnH9SMb1ykkSNG7XTMs88+q9dff13Dhg1TQQENGp1B4MtQ\ntmGlsp65T7HVi1rcn9r7EKWO/4bciHE9WxiA3qdfrtyEA5SacEAYAJOJMAAu/0CxFQtlqxfLgmSr\np5ucbP0yxdYvk96cI2excB3AqAXQjd5Hyu6e8cJu5ATVzry5vlt79kPXKXnqhYzrA4BebMK4vfSl\nE8/QnL/8Qfc8PFs3/OB/mux3zum6666TJF111VXq35+hSp3BsgzdZLeXZaitUfzVJxV/c06LXbCC\n4tFKnjpDbvx+nawQACK1NbLVixRb/qFiyz+QrVu2yy6gjbl4ttzoifVjAN2ovaR4F3+f2GziqtQh\nJzCuDwB6sSXLFumkfzpW2VnZevX3b2r2r26rX5ahpKREp512moYNG6Zly5ZpwIAB6S437ViWwROx\nT95W1rO/klWU7rTPZfdT6thzwglZuvoPKQB9W05/uQkHKjXhwLAFsGZ7OAHM8g8UW75QsQ0r2jzd\nUgnZig8VW/Gh9Mrjctn95cZOamgBHDFOisU7V2M8S6npF8iN3JNxfQDggb33nNikla9O89Y9wl7n\n0cLXTTrUwldZrqxn7lP8k7da3J3a57Dwm2zG6QFIh+0Viq34SLHlH4YhcPO6Dp3u+g+IloDYT27c\nfnLDRndqDUBb96myH7tFtrVUyZPOU+qoL+/2tQAA6dO4le+U407T08//XpdddpnuvPNOWvea6UwL\nH4Gvm7Q38MUWvaOsP94tq9q60z5XMETJ6TMUTDo88xdIBtB3bN0ctvwt/yDsAtpCr4S2uAGDmq4B\nOHhEx/+N217x/9u783A7q8Le4793nyEDmQcQCAQQwgwCFkcGC4jolTqVq89VHAvagSstRaHOU4t4\ntRZQwdY61QFba8U6MYiAVpwIkyQBQoCQkPHkJCEnZ9j7vX/sJCQkgQwn2SdvPp/nyZOcPZ21I8j5\n7vWutdL22+tTP/m1/v8RYBf2V5e+M9f99Hs55MBpuf+hWTnggAMyZ86cfOpTn8rf/M3ftHp4Q4bg\nG4KeMfj6Vqf9J19J2++u3+iusqil/vxXpH7qOTtlJzyAbVaWSdfC1ObcsyYA70mxctnWvcSYSc3j\nH9b8ythJO2iwAAw1a2f5iqJIo9FcP252b2OCbwh6uuArHnsg7d/+VGrLN/5UvLHvIRl45fl23wR2\nTWWZYvFja9b/3ZPaQ/emWL1yq16iMXGflAcdk8ZBxzQPgR/hP/gAVbZ2lm8ts3sbE3xD0CaDr1FP\n223fS9vPvpXiKX93Za2tuSnLi16VtG3n5gYAQ0WjkWLBw0+u/3v4Dyn6Vm/x08uilnKfZ6fx7GYA\nllOm2ZkToGLunz0zZ5xzSpJk9OjRmT9/vtm9pxB8Q9BGwde1IB3/8U+pzd34XL3GxH0y8JoLmluZ\nA1RZfSDFvNlPXv756MxnPAR+fWXHsDSmHrFmBvDolHtNtYYPoALOOOeU3D97Zt761rfmS1/6UquH\nM+QIviGk7Ottrmlp70ijty+rlvVl+U0/S+27V6Xo3/hT7foJZ2TgzDcnnQ6UBHZD/X0p5s5Kbc69\nqc2+O8Vj96do1Lf46eUeY9M46Ojm5Z8HHWP9H8AuptZWZNyew7Kyb1m+8s1v5G8u+Ku0d3Sk6BzW\n6qENKYJviCh7e9Pz8+uz8lv/mkZXV2rjx2eP170pw19wcrov/1D67r7jyceOHJOBs9/V3IETgKbe\nntTm3Jti9t2pzb4rtUWPbtXTN7n+r15PVi1PRo/fQYMGYFsMG9WRyfuNyOpbb8gT3/7yup+fR73+\nrRlxyhkphom+tQTfENBY3ZNlH31v+u76/Ub3dR5zfMZd/OEsu+wD6bv7jtQPOT4DZ7/LDx8Az2T5\n0ubln7Pvas4Arli6xU9du/4vKVMsfTz95/xtygOP3HFjBWCLrY297o8/zc/P7/+H1IbbsT4RfC1X\n9vam6yMXb/If1rU6jzkhYy/6QB7/z59k4JiXWHMCsLXKMsWiuanNvqs5Azjn3hR9PVv+9CTl5P3S\nOO6Prf8DaKFaW5F9po3ebOyt1XnMCRn/gX9IMczSJ8HXQmVfb3puvj7Lr7jsGR87+i8vTuPok7J0\nfu9OGBlAxdUHUjz2wJrZv7tSzLX+D2BXMGHv4andfUtWXPnJZ3zsmAvemxGnnL7br+kTfC1U9q7O\nonf9nzQWLXzGx9Ym75mJV349c+9bvhNGBrCb2RHr/wAYdFMOH5Mlf/nGLf75efLn/223n+XbnuBr\nH/TR7G46OtPo6tqihza6ulJ0dub6/7f5qWsAtkctybFJjs2wPVZkUn1OJg3MyeT6QxlePv0B8LUl\n85Il89L2mx+nTJFltb2zqP3ALG47IMva9k2j8J9MgMHwtq++dKt+fk5H5w4eUbX5r9f26u9Lbfz4\nLfuEYvz4lH19OeNvjt8JAwMgaR7km7JM39r1f7N+n9pDd6coG5t9VpEy4xvzMr5vXqblF87/Axgs\nZZlydc9W/fyc/r5kN5/h2x4u6dxOW7eG7z1pHP1ia/gAWq1vddq/d1Xa/vA/SZIyRYps+X/TrP8D\n2BUQgdIAACAASURBVAY9K9P+g2sy/uTnpyzLrPjCZ57xKc01fGek6Ny9Z/ms4WuxLd6l8+/+PvNm\nrUij7u8NYCio3fnztF93ddKop376G5Puxdb/AewAxUP3pOM/r0ixfEmKUaMz6XNfT/enPmyXzi0k\n+IaA5jl8l6Tvrt9tdN/a2Fv0aE96V/a3YHQAbE4x78EUi+amcewpT944COf/NQ46Jo0Dj0q537Sk\nY/feXQ7YjQ30p+2mb6btl9dtcCVF59HHZex7PpLuT34ofXf9LmVZ5qEnVuegUc1z9zqPOSHj3v/3\nzuFbQ/ANEWXv6vTccmNWfvNLaXR1pTZ+fPb432/N8JNOE3sAu6rtPf+vrSPlfoemceBRzQDc9+Ck\nzRJ6oPqKhY+m/T8+m9qCORvd19hratr+7P2ZdPT+WX3rjXn5296WW+YtynuOOzwfuOzyjDj5NDN7\n6xF8Q0jZ15uUZdLekUZvX1Yt682yhX0u4wSoiu09/69jeMqph6Vx4NHNAHzWAUmtbceNF2BnazTS\n9usfpe36r6eobzjhUSapv+hPUn/J65P2jtTaivSmK4c998jU6/U8a6+98uhDs9M+YmRrxj5ECb4h\n6OHfLWj1EADYGbbz/L9y+B5pHHBkM/4OPDrl5Cl2AAV2XUsXpOMHV6c2+66N7irHTEr/q/8y5YFH\nbXD7Rz/9wfzLN65e9/U3vvGNvOENb9jhQ92VCL4hSPAB7KbWrv976J7m8Q/di7fq6eUeY9dd/tk4\n4KhkwrMEIDD0DfSn7ZffT9st/5FioG+ju+tHvSgDr/izZMSoDW5fuHhhTvqTE9Pbu3rdbYcddlju\nueeetLW5+mEtwTcECT4AUpZJ18LU5tyzLgKLlcu27iXGTHoyAA88Ohk7cQcNFmDbFHPuTfsPvpja\n4rkb3VcOG5mBV7wjjWNO3uRz187uTdl7v8yd/2gmTpyYJUuWmOV7CsE3BAk+gApa2Z0MH5m0d2zb\n88syxeLHUqybAbw3xeqVW/USjQl7p1wTf40DjkxGjd22sQBsrye60/7Tr6Xtzps3eXdj6hHpf/Vf\nJeMmb/L+9Wf3znzJy/OTn/0wb3rTm/K1r33NLN9TbE/w2SYMALZEf286vvGJpNaW/nMuSsZM2PrX\nKIqUk6eknDwljRPPShqNFAvmNGf+HrontYf/kKJv9dO+RG3p/GTp/LT97vokSWPP/dM48OiUBx6Z\nxlRnAAI7QaOR2h03pf36r2/yQ6tyxOgMvPTcNJ5z6tNekn7N165Kb+/qvPTUszJhXPP/U1/wghfk\n1ltvzYwZM3Lttdea5RsEZvh2EDN8ABWzZH46v/LhFMsXpxw1Lv3nXJRy/8MG93vUB1LMm/3k5Z+P\nztzkWpjNKYtayr0PXHf5Z7n/YUmnbc2BwVMseLh5+eajMzZ5f/240zJwxhuTkaOf9nUWLl6Yk//k\neVnd25MffP36/Nt/fCXf/M+v5+qrr05bW1ve8Y53mOVbjxk+ANjRJu6dvvMvS8d3Pp3anHvT8eUP\nZeDlb0vjuS8dvO/R1p5yv2mp7zct9ZNfm/T3pZg7a83ln/ekeOzpj4AoykaKeQ+mNu/B5Bf/lbLW\nnnLKwU8eATFl2rZfjgrs3roXp/1n307tzp+nKBsb3d0YOzkDr/2/W/xB2DVfuyqre3vy0lPPylGH\nHb3Bfeeee24+9rGPmeUbJIIPALbUHmPT/6b3p+2nX0v77f+djh9ck/q82Rl4+dt3TEh1dKY88KjU\nDzwq9STp7Unx6MwnZwDnzU6RzV9tUzQGUjwyI7VHZiQ//07K9s6UU6alMfXwNKYe0QzAzmGDP26g\nOlatSNtt/5m223+00Zl6a5VFLfVTXrvFsbdw8cJ8/d+/miS54B1/vdH9HR0ded/73pd3vOMd+chH\nPpJzzjnHLN92EHwAsDXa2lM/660p9zko7dddnbbf35Bi4SPbvq5vawwbkfLg56R+8HOaAdizsrnu\nb80MYG3hI0/79GKgL8Wce1Kbc0+SpKy1pdzn2WlMPTzl1CPS2O8wawCBpr7etN3+w7Td9p8peldt\n9mHlyDHpf/3FW3WJ+5333rHZ2b21zj333Hz84x/PjBkz8vjjj2fffffd6rdAk+ADgG3QOPaU9E+e\nko5vXZ7a3FnpvObiHbOu7+mMGJXGYScmh53YDMCV3anNubd5/t9D9zQ3eHkaRaPevGR07qzmJaAp\nUu419ckAnHp4MmrcTnkrwBBRr6c2/aa03/ydFCuWbvIhZZIiSWPKtG36sOuPX3x6rvjEF3LKC/94\ns4/p6OjIDTfckAceeEDsbSebtuwgNm0B2E080b1uXV9Zax/8dX3bo3vxuvV/tYfuSbF86w6BT5LG\nxH1SrrkEtDH1iM1urw7s4hqN1O67PW03fTO1JfM2+ZCyY1iK/t4kSf340wf1cvZLPn7Ruk1bzjvv\nvEF5zSqxaQsAtMpT1vW13/a99B19UjJsRKtHloydlMZzTm1ujb72EPhH7mteBvrwH1Jb+vgzvkRt\nybxkyby0/f7GJEk5dlIa+69ZAzj1iJST9nnabdeBIW6gP7W7bknbL/5r86E3bGQyYlSKZQvXfLD1\n9jSee8ZOHijbSvABwPZab11fuef+QyP2nqookgl7pTFhr2YAJsnypWsC8L5mAD7DGsAkKboXp+3u\nW9N2961Jmut31r8EtNxralKzuQIMeatXpe1316ftV/+9+Us32zpSP+qFaZt9dzP2dtSRNOxQgg8A\nBknj2FNaPYStM2ZCGke9KI2jXtT8etWK1B6Z0Yy/R+5r7gK6ie3X11esWp62+25P7rs9SXMmoJxy\nSBpTpqWx36Ep9z3ERjAwlKzoam7G8pufbHYzlrKopfGcUzNw6jlpu/PnKe78+Tav16P1BB8A0DRy\ndBqH/VFy2B89eQzE3FmpPfyH5izg3Ps3uy37WkXvqhQP3pnag3euu60xaUrK/aalMWVayinTUk6e\nktRqO/a9ABsolsxP2y+/n9r0m5/2eIXG0S9O/cWvTrnnfknS/POIUWkc98fO8dxFCT4AYNOGjUj5\n7GNTf/axzQAc6E/x2ANPBuCjM1L0rX7Gl6ktnpssnpu2O25KsmYWcN+DmwG437Q09j0kGTl6x74X\n2B3VB1Kb9fvUfn9DavffsdlzO8uOYakff1rqL3jlxhsz1Wpp/NGZO2Gw7CiCDwDYMu0dKacenvrU\nw5sBWK+nWDBnzSYwa9YC9qx4xpcpelelmH1XarPvWndbY+I+Kfc7dM0s4CHN2QVrAWHbdC1I2+9v\nTNsdP0uxsmuzDytHjE79eWelfuJZPnSpMMEHAGybtubB7fV9np284JVJo5FiybzmZaCPzkoxd1aK\nhY9udlZhfet2A53+syRJ2Tli41nAPcbs6HcEu66B/tRm/jZtv7t+gw9TNqUct2cGXvDKNI57SdI5\nfCcNcOe48cYbc+mll+aOO+7IwMBAvvvd7+ZVr3pVq4fVUoIPAFph2aLqnWlXq6WcPCXl5CnN9T5J\nsnpV8zLQubPWHfJe9Kx8xpcq+npSPHR3ag/dve62xoS9n1wLuM+zmzuidnTuqHcDu4Ri8bzU7rgx\nbdNvTvFE99M+tvGsA1N/4dlpHPnCpK2aM+innXZabr/99px99tn54Q9/mJNPPrnVQ2o5wQcAO1mx\n+LF0fPGSNI584aAeXDwkDR+Z8tnHpP7sY5pfl2WKJfPXzALObG4Es/CRZ9wNNElqS+cnS+en7c6f\nN1+qqKXcc7+Uex+Uxt4Hptz7oOaxEEPxWAwYTEsfT9u9/5Pavb9M7fGHnvahZefwNI4+KfUTTk+5\nz7N30gBb7ze/+U2OOOKITJhgV1HBBwA7WbHosaQ+kLbf35Bi4SO711bnRZFy0j4pJ+3z5HmAvT0p\n5j24JgBnpTb3/hSrlj/zS5WNFAseThY8/OSloClSTty7GX97H5jGmt8zYtQOfFOwEyxdkLY//DK1\ne/8ntfmzn/HhjX0PTv3405vHrmziQ5Bi4aMpJ+5TyZm+Bx54IAsWLMjrXve6Vg9lSBB8ALCTNQ4/\nMf1v+2g6vnV5anNnpfOai3fvw4yHjUh54FGpH3hU8+uyTJY+ntraS0AfnZViwcNbNAtYpEyxZj1g\n7rlt3e3luD3Xxd+6CBw1bke9IxgcXQvT9oc1M3nzHnzGh5fDRqZxzEmpH39685/xzahNvznt112d\n+okvS/3MNw/miIeE225r/rt/yim72NmoO4jgA4AWKPd5dvrOvywd3/l0anPuTceXP5SBl78tjee+\ntNVDa72iSCbuncbEvZ88zL5v9ZpZwFnN3+fPTrFs4Za/5LKFaVu2MLnvV+tuK0dPePJS0DUhmDET\nm98fWmGgvznL/cD05q9nuFwzWXNp89TDUz/21DSOfMHTb8JSH0jbT7+a9tt/mCQpenuSRqNy52IK\nvg0JPgBolT3Gpv9N70/bT7+W9tv/Ox0/uCb1ebOrv65vW3QOT3nAkakfcOSTt/WsTDH/oWb8zX8o\nxfzZzfWBW7AraJIUK5ambcXSZNbv1t1WjhzTjL+9pjY3oJk0JeXkfZPhewz2O4KmpY834+7B6ak9\ndM8WnW1ZpmhG3pEvTOPw5yWjxz/z91nZnY7v/L/UHv5Dylp7Bl7+9jSee8YgvIHWuvbaa/PZz342\nZVmmo6MjV1xxRW699dYcfvjhmTy5YhtjbSPBBwCt1Nae+llvTbnPQWm/7urdc13fthoxKuVBR6d+\n0NFP3tbb07z8c/7s1NZG4MJHt+hy0CQpVi1P8eCdqT145wa3l6MnNHcfnbTvup1Iy0lTmkdFmBFk\na/T2pDbn3tQemJ7iwempLX18i562LvKOeEEaRzx/yyJvjWLeg+n41uUpli9OOWpcZS4hv+iii3L1\n1VfnxhtvzIknnpj58+fnVa96Ve6///68853vbPXwhgzBBwBDQOPYU9I/eYp1fdtr2IiU+x+Wcv/D\nsi7x+vuaO4GuH4ELHk5RH9jily1WLE2xYulG55uVI0annLzvmpnAKWmsiUGXhpKkuR61a2Fqj85s\nbkr06Mwt3pU2WRN5+x+6Zibv+dv0IdDa9XpFvT+NKdMq82HSpz71qXz605/OV7/61Zx44olJkr33\n3junnnpqfvOb37iccz2CDwCGiKeu62u7/YcZEHzbr6Mz5b4HNw9yX3tbfSDFornrLgWtzX8oxeNz\nUvQ/8+V06yt6VqR4ZEbyyIwNbi87h6dcOxu4JgbLyVNSjt8zqVVvV0TW6O9NMW/2ms2G1kTeM5yN\n91TlqHFpPPvYNA4+Lo2Djk72GLttY3nKer368adX5nLxOXPm5AMf+ECOO+64vPGNb9zgvkWLFiWx\nfm99gg8AhpK16/p++f3UTzyr1aOprrb2lM86IOWzDkiOe0nqSdKop1jyeIrHH0qx6NFmEC56LMXS\n+Ska9a16+WLNJjN5ys6KZVt7yon7NH+Nm5yMnZRy3OSUYyc3vx6+h5nBXcUTy1MseDi1hY+kWPBI\nigVzUjz+cIrGls8cJ0lZa2/OSB/8nDQOfk7zLMnt/Wegouv11rriiiuyevXqjWIvSW6++eZMmzYt\nz3rWs1owsqFJ8AHAUNPWnvpJr2n1KHY/tbbm5ZmT993w9vpAiqWPrwnAuSkWrwnBxY+lGOjbqm9R\n1AdSLHwkWfjIJu8vO0esCcBJyboQ3DPluEkpx05uzvZUbEfFIa+/r/m/+8JHmoG34OHmn1cu2+aX\nbEzaN+VBxzRn8g44cpPn5G2PYsm8FI/OrNR6vfVde+21KYoiZ5214YdijzzySObMmZM/+7M/G/Tv\nee6552bYsGH54he/OOivvaMJPgCAp9PWvu6SzA00Gkn3otTWheBjT0Zh76pt+lZFX8/TB2Fbx1Ni\ncNK62cFy7OTm2sEKHqS9Q5Vlc8fXrgWb+LUw6V68xWvuNvnyHcNS7ntIGvsdmnK/Q9OYckgycvQg\nvoFNfM+ph2fgte9OY79DK7Feb30rVqzIY489lnHjxuWwwzYM2Z/97GdJdszlnEcddVSOPfbYQX/d\nnUHwAQBsi1otGb9XGuP3Sqad8OTtZZms6FozEzg3tUWPrfvz1q7neqqi3p9i6fxk6fxN3l8WtWT0\nhJSjxjZ3MR0xOhk5OuWIUet93fy9HDGqGR7DRlZ31rBeT1YtT7GyK1nZneKJ7ubM3MplKboXrYu6\nbQ30TSnH7ZnGftOagTfl0OYlmi2I8MaRL9jp33NnGBhoXjI7bdq0je67+eabkzwZfOecc06uvfba\nQfm+F1988aC8TisIPgCAwVQUyZgJKcdMaF62t/59q1Y0ZwK7FjaDY9miFN2LkmWLUnQv3upLRDf6\n1mUjWb44xfLFW/ycsqglw/dIOXL0migctV4kjl7v6+b96RyWstbejJi29uYmNOt+bxvcTWnKMunv\nS3pXNc+n613VPHqjtyfp63nyz709zcf0rEixsrsZdE90N/++t/Bcxq0eWlt7c0OevfZPudfUNPbc\nv7kmdCuOS2DrjR8/PlOmTEntKR9S3Hnnnfnud7+b/fffP/vuu28WLVqU0aN37EzqrkLwAQDsLCNH\nrzs2YiNlmTzRvS4CizURmPW/HsSZqLWKspH0rEjRs2JQXq8sauvF34ZhWK4Nw5RJo9HcDKdeTxpP\n+bXmtu25lHIwlWMnp7HX1Gbc7dkMvHLi3s33xU73nve8JxdddFHmzp2bKVOm5I477sjf/u3f5sUv\nfnFmzZqVJLnyyivXberywQ9+MPfee2/e8pa3pK2tLdOnT8+yZcuyYMGCfOELX8hVV12Vvr6+TJ8+\nPW95y1s2WBv4la98JbNnz86MGTPy7W9/e93tm3rNJ554It3d3bniiit27l/IM/BPKQDs6pYtSsZN\nbvUo2F5FkYwal3LUuJRTDtn0Y1Y/sekQ7F6UYtniFE9s+0Yig6UoG0m9kdT7N76vBePZEmV7Z8rx\ne637lfF7Pvn1uMlJ5/BWD5H1/MVf/EUWLlyYM844I3vttVcOP/zwfPe7383KlSvzhje8IX/0R3+U\n4447Li95yUtyww035KUvfWn23HPP/Pmf/3k+85nP5JJLLkmSTJw4MatXr84VV1yRyZMn57rrrsv7\n3ve+dcE3Y8aMNBqNnH/++ZkyZUq+8IUvZPz48bnxxhuf9jUvuOCCHHLIZv4dbgHBBwC7sNqdt6T9\nvz6XgZe/LY3nvrTVw2FHG75Hymft0bx0cFP6+5LlS1KsWpGiZ2Vz5m7ViuamJD1rfl/39crmJY99\nPTv1Lexs5YjRzTWNo8al3GNc8897jEs5ZmLKNWGXUeMch7GL+fCHP5wPf/jDG9w2ZsyY/PznP9/g\ntvvvvz/vfOc71x3Q/trXvjZJUq/X09PTkze/+c2ZPLn5gdkTTzyRsnzyEuCbb7455557br71rW/l\nkEMOyfjxzct1Z82atcnXHBgYyIoVK7J69dad57mjCT4A2IUVix5N0RhIxw+uSX3e7MocrMw26uhM\nJu6dcuLeW75ybaC/OXO4fhiuC8aVGwVj+vvWXIo5sObyy4E1l2A2fx/sNXNlW0fz2IJhI1MOG978\nvXP4k7d1Nm/LsOEph49KRo1dE3bjkj3GVOuyy5Xdzb/ziu28uSO9613vSpLceuutufTSS9fdfscd\ndyRJzjjjyfMJf/GLX+S5z33uuq/f+c53Jkm++tWv5k1vetMzvuavf/3rdHR05PDDD98B72TbVejf\nAADY/dRP/z8pJ09J+3VXp+33N6RY+Ej6z7nID4RsufaOdZeSJtn+XNsgAjcMw2JtGKZI2tpS1tZs\n8rL2V9tTvq7VzLytUcx7MB3fujzl6HHpf8tHmnHPFlm8eHFmzpyZk046ad1tt956a573vOelvb2Z\nQ2VZ5vvf/34++9nPbvDchx9+OLfddlu+/OUvP+Nr/uAHP8jpp5++7jWHioruwQsAu4/Gsaek/20f\nSzl2UmpzZ6XzmotTPDKj1cNid1VrSzqGJcNHNo99GD0+GTspmfCs5sH2azc/mbRvMuFZzfWnYyYk\na46SyLARzZhpaxN7a9Sm35yOf3lfc/fVotbcoZQtdtttt2WfffbJ1KlT1912yy23bBBrv/zlL7N0\n6dKcddZZ+drXvpaVK1cmSf7t3/4tL3zhC3PAAQfkqquuetrXvPbaa/Pa1742y5cvz9e//vWd8M62\njOADgAoo9zkofeddlsYBR6ZYuSwdX/5Qar/9aauHBWyP+kDafvSldHzvyhT1/tRPOCP9b/lwssfY\nVo9sl3Lrrbfm5JNP3uC2X/ziFxsE369+9au88IUvzLBhw/LYY49l1KhR624/88wzs2jRonR0dGz2\nNZcsWZLZs2fntNNOy7e//e0NLhVtNcEHAFWxx9j0v+kDGXj+K9at62v//heaa7SAXcvK7nR89SNp\nv/2HKWvt6f9f52fgledbo7sNHnvssbzmNa9Z9/XSpUszevTovOhFL1p32yte8YrU6/V86EMfyrnn\nnrvu9nPPPTfTp0/PNddck7e+9a2bfc2JEyfmNa95TT7/+c9n/Pjx2WuvvXbwu9pyxfo70Wzxk4qi\nTJJtee7u4uHfLWj1EADYjdXu/Hnar7s6xUBfGlOmWdcHu5C16/WK5YtTjhqf/v99Ucr9Dm31sHao\nSz5+Ub75n1/P1VdfnfPOO6/VwxlyijWXN5dludXXOQ+tFYUAwKBoHHtK+ifvl45vfzK1ubNSu/93\naZwwdC4xAjatNv3m5oc19X4f1jAoBB8AVNTadX1td96SxvGnt3o4wNOpD6Ttp19N++0/bH55whkZ\nOOttLuFkuwk+AKiyPcam/sJXtnoUwDPp7UnbjF+nrLVn4OVvT+O5ZuQZHIIPAABabeTo9L/+4qS/\nL+X+h7V6NFSI4AMAgCGg3PugVg+BCnIsAwAAQEUJPgAAYKdZvnJ5PvHZD+fBOQ887eNuuOGGfOIT\nn0ij0dhJI6smwQcANPX3JSu6Wj0KoOJ+9dtf5pqvfT5//cG/2uy53t3d3fnTP/3T/N3f/V3mzZu3\nk0dYLYIPAEjKMu3//cV0Xv23KR6Z0erRABX24uedlInjJ+bOe+/Izb+8aZOP+ad/+qcsW7Ysp556\naqZMmbKTR1gtgg8ASAb6UixblGLlsnR8+UOp/fb6Vo8IqqE+kGLBw60exZAycsQeOf/cv0iS/OM1\nn9polq+7uzuf/vSnkyQf/OAHd/r4qkbwAQBJx7D0v+n9GXj+K1I0BtLxg6vT/v0vJAP9rR4Z7LpW\ndqfjqx9Jx5fen2LJ/FaPZkh54+vevNlZvvVn90499dTWDLBCBB8A0NTWlvrL3pr+V/9VyvbOtP3+\nhnR8+YPJ8qWtHhnscop5D6bzmvek9vAfko7OZPUTrR7SkLK5Wb6enh6ze4NM8AEAG2gce0r63/ax\nlGMnpTZ3Vjqvudi6PtgKtek3p+Nf3pdi+eI0pkxL33mfTLnvwa0e1pCz/izf/AXNjVluuukms3uD\nTPABABsp9zkofeddlsYBR1rXB1uqPpC2H30pHd+7MkW9P/XjT0//Wz6cjJnQ6pENSevP8t0z464k\nzaMYErN7g6nY3FaoT/ukoiiTbHYbVZKHf7eg1UMAgO1Xr6ft+q+m/Vf/3fzy+NMz8PK3J+0dLR4Y\nDDEru9Pxnf+X2sN/SFlrz8DL357Gc89o9aiGvFU9T+Sks0/Mkq4l62479dRT87Of/ayFoxp6iqJI\nkpRlWWztc83wAQCb95R1fbW7bkmx9PFWjwqGlPXX65WjxqX/LR8Se1to/Vm+tczuDS4zfDuIGT4A\nqqaY92CKZYvSOOL5rR4KDBm16Ten/bqrU9T705gyLf3nXOQSzq20queJHHfaEent6820adMyc+bM\nVg9pyDHDBwDscOU+zxZ7sL6yTG3Gr63X204jR+yRN7z6jWlvb89HPvKRVg+ncszw7SBm+AAAdgOr\nV6U267dpHHNyq0eyy5t6wl6tHsKQtT0zfIJvB/ndv9+fO777QKuHAQAAu4TjXnNwTnjdIa0expAk\n+AAAACrKGj4AAAA2IvgAgEFXX7IoZX9fq4cBsNsTfADAoGqsWpWu9/91ll76f1NfsrjVwwHYrQk+\nAGBQNZYsSqNnVfpn3JMlF749fffd3eohwVbrf8BZcFSD4AMABlX7flMz8TP/nI6jnpNG19IsvfSC\nrPrx91s9LNgi5cBAll/z2Sy58B3p+fkNrR4ObDfBBwAMurZx4zPho5/JyFe+LhkYyPKrLk/3lZ+0\nro8hrb6sK0vff2FWXffvSXt7yr7eVg8JtptjGQCAHarnph+n+8rLk/6+dBx2VMa996Npmzip1cOC\nDfQ/MDNdH780jcULU5swMeMu+Vg6Dzuq1cOCJM7hAwCGuA1+mB4/ofnD9OFHt3pYkMSHEgx9gg8A\nGPLqy7qy7LIPpP+e6Ul7e8acf2FGvuzsVg+L3Vg5MJAVX7qqeQlnkhFnnp0x5//fFB2dLR4ZbEjw\nAQC7hPV/wG6bMjWT/vFfUgwb1uphsRvyAQS7EsEHAOxSen72k3Qccnjap+zf6qGwG7Jej13N9gRf\n+6CPBgDgGYx4yZmtHgK7sb777k5j8ULr9dgtmOEDAGC3UpZlVt/04ww/+TTr9dgluKQTAACgorYn\n+By8DgAAUFGCDwAAoKIEHwAwpA3Mf6zVQwDYZQk+AGDI6p99fxb/5ZvTfeUnU/b3tXo4ALscwQcA\nDFn1+Y8lKdPzk+uy9JILUl+yuNVDYgjrn/OgDwbgKQQfADBkDX/RqZl42edSm7Rn+mfemyUXvj19\n993d6mExBPXc9OMs+evzsvwLn7GTPKxH8AEAQ1rHwYdm0j/+czqPPi6NrqVZeukFWfWj/2r1sBgi\nyoGBLL/ms+n+zMeT/r6kqCWNRquHBUOGc/gAgF1COTCQFf/6uaz6/neSJCPOfGXGnP9uB2fvxhrd\nXen6hw+k/57pSXt7xpx/YUa+7OxWDwsGnYPXAYDdRs9NP073VZcnfX3pOPTIjLvkY2mbOKnVzWLw\nUgAADmpJREFUw2In639gZro+fmkaixemNmFixl3ysXQedlSrhwU7hOADAHYrG/ywP35C84f9w49u\n9bDYSTaI/sOOyrj3flT0U2nbE3zW8AEAu5ynruvrueGHrR4SO0E5MJDlX/yn5nq9vr6MOPPsTPjE\nZ8UePA0zfADALqscGMiq6/49I1/x6hSdw1o9HHagRndXll32wfTdfYf1eux2tmeGr33QRwMAsJMU\n7e3Z49Wvb/Uw2Anqixamb+a91uvBVjLDBwDALqH3t/+T9gMPcQknux2btgAAAFSUTVsAAADYiOAD\nAACoKMEHAOwWyrLMwLxHWz0MgJ1K8AEAu4WeH30vi//i3Kz68fdbPRSAnUbwAQC7hYHH5yUDA1l+\n1eXpvvKTKfv7Wj0k0jxfb+Dxea0eBlSWXToBgN1Gz00/TvdVlyd9fek47KiMe+9HbfHfQv0PzEzX\nxy9NbeQemfCpL6Q2YmSrhwRDkl06AQC2wIg/flkmXva51Cbtmf4Z92TJhW9P3313t3pYu6Wem36c\nJe/58zQWL0wxYmTK1atbPSSoJDN8AMBup9HdlWWXfTB9d9+RtLdnzPkXZuTLzm71sHYL5cBAVvzr\n57Lq+99Jkox46f/KmHdemKKjs8Ujg6HLwesAAFtpo/A485UZc/67hccOtFFon/fujDzrT1o9LBjy\nBB8AwDayrm/nWLter7F4YWrjJ2Tcez+aziOOafWwYJdgDR8AwDZ66rq+vnunt3pIlbP+er2OQ4/M\nxM/8i9iDncQMHwBAmpcbrv7lLS4xHETW68HgcEknAABDTmPVE1ny1+elvmCe9XqwHQQfAABD0sCj\nD6exotslnLAdBB8AAEBF2bQFAACAjQg+AACAihJ8AABbqbFqVepLFrd6GADPSPABAGyFsizT/Y+f\nyJIL356+++5u9XAAnpbgAwDYCmVPT8qVy9PoWpqll16QVT/6r1YPaacrBwbS/8DMVg8D2AJ26QQA\n2EobHSh+5isz5vx37xYHiteXdWXZZR/IwP0zMuHyz6fjwINbPSSoPLt0AgDsREV7e8b82QUZe+Hf\nJZ2d6fnJdVl6yQWVX9fX/8DMLLnwHem/Z3qKkSNT9vW2ekjAMzDDBwCwHfofmJmuj1+axuKFqY2f\nkHGXfCydhx/d6mENup6bfpzuKy9P+vvSceiRGXfJx9I2cVKrhwW7BQe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"text": [ "" ] } ], "prompt_number": 5 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "1.3 Finding intersections using fatline [TOP] " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's try and overlap two fatlines. Obviously, the intersection point will be contained within the intersection of both fatlines." ] }, { "cell_type": "code", "collapsed": false, "input": [ "curve1 = np.array([-50., 0., -25., 20., 25., -20., 50., 0.])\n", "curve2 = np.array([10., -40., -5., -25., -30., 25., 0., 50.])\n", "\n", "rotation=0.8\n", "curve2r = bezutil.rotate(curve2, rotation)\n", "fig = plt.figure(figsize=(8, 6))\n", "ax = fig.add_axes([0.0, 0.0, 0.75, 1.])\n", "fatDist1 = getFatline(curve1)\n", "fatDist2 = getFatline(curve2r)\n", "bezutil.drawCurve(ax, curve1, '#e74c3c', fatdist=fatDist1, setsize=True)\n", "bezutil.drawCurve(ax, curve2r, '#34495e', fatdist=fatDist2)\n", "locs = bezutil.getCrossings(curve1, curve2r)\n", "for t1, p1, t2, p2 in locs:\n", " ax.get_xaxis().set_visible(False)\n", " ax.get_yaxis().set_visible(False)\n", " ax.plot([p1.x], [p1.y], 'x', markeredgecolor='w', markeredgewidth=2, markersize=5.0)\n", "# ax.legend([\"Curve A\", \"Curve B\"], borderaxespad=0)\n", "count = len(locs)\n", "print str.format('{} crossing{} found.', count, '' if count == 1 else 's')" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "1 crossing found.\n" ] }, { "metadata": { "png": { "height": 446, "width": 446 } }, "output_type": "display_data", "png": 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u81tYTB47Qms2br1i2ZOk7bv3a/WGLRrcr6eCAil98B4UPgAAqtiCpV9p8469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\nGXzNopUbFBgQoOED+0iSSkptmjVvqZ5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dOrU2Ok6F0zSNb+YtJfnUOa/x5k3qM2FEP1Qp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\nu95Z8bnG3lCo0MOHxM9ZvFyJcXG6747rTU4HAAA6Iwof0MacD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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's say we pick **Curve A** and discard the parts of curve that is not within **Curve B**'s fatline. Now we are left with a much smaller **Curve A'**. We use the fatline of this new curve to clip **Curve B**. We can narrow down on the intersection point by alternatively clipping the remnants of **Curve A** with the remnants of **Curve B**. We can stop once we have clipped both curves to nearly a *small point*.\n", "\n", "_**NOTE:** It might take a bit more time to render the following piece of code, since it renders all steps of the clipping process_" ] }, { "cell_type": "code", "collapsed": false, "input": [ "curve1 = np.array([-50., 0., -25., 20., 25., -20., 50., 0.])\n", "curve2 = np.array([10., -40., -5., -25., -30., 25., 0., 50.])\n", "fatDist1 = getFatline(curve1)\n", "fatDist2 = getFatline(curve2)\n", "nrow, ncol = (6, 3)\n", "gs = plt.GridSpec(nrow, ncol)\n", "\n", "@interact(rotation=(0, 2*np.pi), steps=(0, 32, 1))\n", "def plotClipI(rotation=0, steps=7):\n", " nrow, ncol = (6, 3)\n", " curve2r = bezutil.rotate(curve2, rotation)\n", " fig = plt.figure(figsize=(10, 18))\n", " axes = [plt.subplot(gs[i, j]) for i in range(nrow) for j in range(ncol)]\n", " for ax in axes:\n", " ax.get_xaxis().set_visible(False)\n", " ax.get_yaxis().set_visible(False)\n", " locs = bezutil.getCrossings(curve1, curve2r, steps=steps, fig=fig, subplots=axes)\n", " plt.tight_layout()\n", " print \"* 'Length' mentioned in the plots is the bezier time parameter t (in the range [0, 1])\"\n", "\n", "print \"Note: This might take some time.\"" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "* 'Length' mentioned in the plots is the bezier time parameter t (in the range [0, 1])\n", "Note: This might take some time.\n" ] }, { "metadata": { "png": { "height": 429, "width": 708 } }, "output_type": "display_data", "png": 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X2pb+PfnkkxGPyXzJfEmRdTS/dpsk6/V65fzzz5dzzz1XUlJSRNM0ycjIkJkz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\nkwCAmCzj6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T9WV2REX3t52QGsQbl5FdGL52E+cWrT1E1cia7rZZtAXGo7rWHhttFClGoo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\nmXOREju2ttgnOHmarJGjXW3xt15VogcStHZ+oUw4L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CtWrEjfctqU\n3eRbYMuyWvzGvDsNHz5c3/zmN/XQQw/pH/7hHxQOh/Wzn/3MdX489NBDGjduXKfMaPvLX/6iG264\nQXfeeacefvhhWZalbdu2adq0aQqHw/rmN7/ZbJ/2nJct6ehn1tHzsb3n+bPPPivbtvXuu+82O7fq\n6+v17rvvqra2VuvWrdO557LQAroOYytjK2Nrx9TV1clxHHm9XtexGjUmd6urq9NtjK2MrUBLjI4m\nYaNvvSJJsoK5svLy5RysSG8L//k55V11rezcvIaZpaccuTsjkVBy7650P3vwENnHlLiwSwa6Hte/\n8AeFnvrl0QbLkmfIMJlYtCGBaowib74s3/hzlHvxx93xNiaNjVHoN48q8cGRL2k8XnlKh8iprZGJ\nRuQ70/2lc839/ykTix49ZDBXdslApSrLpWRCMkZOdZU8g0td+0WXLVLNf93ritUeVNrQ/1ClZIzi\na95V6Pe/VsENt7r2rXv8IYVfcP8es3LzZBcVK1VxQEqlZJcOkW/8OentvlGjlTry/iV375RSDUk8\nK7/ANdNYkjzDTnI99g4fIRN2f7mV3LFNbUlVHFDV97/l2tcuGSCTSMiE6tLPU/Xv39DA/35Kdk6w\n+ZMkEg3nj2XJLi6RSSRlQrUN24yj0LNPKTCp82YRN+rIlyHHyy4sSp/vJhJR6sC+9DbPsJNkNXk/\nmpZ3Mamkqu75tpLbj37pYOUEG362DlVKapiZXn3f3Rr4k4flO7VjfwO2JT2b3LLlGTK04Vw/cudQ\n6sA+Rd5+VbkfuawhVmNU+9BPlSrf3yTWHNlFJUpVlEuJeKfGBrSLMabD/ySZhl271rXXXmssyzI/\n/vGP273Pd7/7XWPbtlmxYoWrfevWrWb69OnGGGOi0ai57LLLjDHGLFmyxFiWZUpLS83+/ftd+1x3\n3XUmJycn43FuvfVW4/V6zerVq13tN9xwg7EsyyxZsiTdVlZWZizLMv/0T//UYtyTJ082lmWZ+++/\n39X+yiuvGMuyzLPPPtvGK3f7yU9+YizLMk8++aSr/Vvf+paxLMs89thjre6/evVqY1mWueeeezJu\nb89ras9nUVtbaxYsWGCMOfpZTJkyxSQSCWOMMVdeeaU5/fTTTXl5eesv2Bjz4osvGtu2zVe+8pV0\nW1VVlQkGg2bYsGHm8OHDxhhjbrvtNmNZltm8ebNr/0QiYS6++OL04wkTJpg5c+akHzc9b9asWWMs\nyzKXXnqpcRzHdTzLssyNN96YMcZNmzaZ8ePHm5KSEvPQQw+1+Zo6w9y5c41lWWbXrl0t9nEcx/zs\nZz8z8+fPN5dcconrM9u2bZuZMGGCqa+vP+FYXnrppWafUaNbb73V5OXlmYMHD7a4f1vn5bE6+pnV\n1dV1+Hxsz3nuOI657LLL0sedOHGimTVrlqv/s88+ayzLMmvXrm3Xa0P3ajLuHde42d5/3TG+MrYy\ntjK2dsyePXuMZVkmGAxm3L59+3ZjWZYpKipytTO2Mraidf1pbK362X+Y/ZfPbvh3xZxW+5bf/Kmj\nfT9xkal/9a/GSaWMMcbUPvHw0W2Xzzax9zc02z9Zvt/VJ/zGS60eL1VbYw586uJ0/9onHjapJr97\nwgtfS28r/8crm+1/8Ntfch1v/+WzTc3//D+Tqql2HcN1zPqQq3/tU79Mb3Mcx8S3bTHVD/3ExDat\nc+3nJJOm/HOfSO9X9dN7XMeJbVhr9l8xp2H7VfNNKnz0dcS3f+A6Zvk/LjDRle8cfe5IxIT+9DuT\n2L2zxfeq6WdT/V/3tva2tqhpDHW/fTxjn+qf/9D9Gb71Snpb3TNPuZ/j2afS2xIHytyv8aZPpt9D\nJx4zB//1i65zqyscG0Nb59+Jiq1b7f6ZWL+mxb7hN15y9a1+6Cfpn63ompVm/1Xz09sOffdr7X5N\ntb95rMWfb9e2y2ebqh/eZVJ1tcYYY+I7t5v9V8w9Gs9//yS9X/S95a79Dn/vG8aJRBri2b3T9XNw\n6M4vn9ibiKxzvONrr55B3DgDoL0Ltfz973/Xvffeq6uuukrTp0+XJFVWVuqNN97Qfffdpx/+sKE2\n08qVKzV//nxJRxfl+PGPf9xsVe2ysjINHOj+9lVqmJH02GOP6eqrr242k+Xw4cMKBoPp40tHb3Ft\naQX1mpoarV27Vueff76++tWvurbt29fwbVmmWxpbsnPnTt19990655xzdOONN7q2VVVVSZIuvPDC\nVp9j3bp1kqSJEydm3N7Wa2rvZ7Fly5b07bONn8V9990nr7fh1PzTn9pX3+jw4cO66aabVFpaqh/9\n6Efp9uLiYpWXl8vn8yknJ0dSw+c3ZMgQnXGGe7XTRYsW6fLLL5ckrV+/Xhs3btRPf/rT9PaVK1fq\noosukiQtX75ckvT1r3/dNVOpcWZR0zqETZ111lnasKH33S5iWZa+9rWv6Wtf+5qr3RijW265RT//\n+c+Vm5srqeG20u9///uqqqrS8OHDdc8996Tf29YcPnxYN954Y7PPqNHgwYMVDoe1fPlyffzjH8/w\nDG2fl8fq6Ge2efPmDp2P7T3P16xZo5kzZ8qyLG3ZskXr16/Xffe562pdc801+vKXv6zTTjutXa8N\nOF6MrYytjK0dk2nWcFONJS2O7cfYytgKtCU4e75rxm7O3I+o/v9+m37cMKPYPTPXdHAGZ2zlO66Z\nvLFVyxRbvaLJEzpHj1d9WE5Nteyi4hafL3fBNSq85UuuNrug0P04N0++cROV2NTw+yXy+ouy8/Pl\nn3qBvKNGy3fq6Sq6/RvNnjuxeUN6pqckJbZu1uHvusdwWVbDAnKppFJ7d8s+7cyGY7z9qqtb0Vfu\nVGDK0b8brJwc5V15bYuvq7sYx1H0nYXpx/4JkxS88JL047yrb1Dktb82zHiWFH1nofKP1P89VsH1\nt8h/1tmSJMvnV86Muen3XMmEnJoq2UUlXfRKukdHzvam76uVE1TBzV9M13EOTJqmnNnz07P24+tW\nN9TPPmb2/QmxLBV/+570Q9/JY+QdPSY9q9w5eLTWdXzzBtd+BV+4Q9aRcd878mR5Bg5y/SwA3aHX\nJoh37typffv2KRgMZlwxulFVVZW2bNmi888/X//93/8tY4w++OADzZo1S7Zta8CAAZoxY4ZeffVV\nlZY23L4ya9as9O18b7/9tnw+n66++mrX80ajUa1cuVIf+9jHmh2z8Q/wG264wdWeSqW0ZMkSnX/+\n+fL5fOn2xgu+li7GFy9eLGOMPvnJTzbbtmTJEnk8ng7dFvfggw8qGo3q+uuvb7bt7bff1siRIzVm\nzJhWn6O9F7Etvab2fhbTpk1Lf75vv/22AoFAixfGrXnkkUdUWVmpu+66q1kdv4KCo7/0Kysr9f77\n7+uaa65p9hzz589PJzcee+wx+Xw+ffazn01vb3reLF68WH6/XzNnznQ9x6ZNmyQpfcHXmTL9MdjV\nJSoeeOABnXHGGen3JRKJ6KKLLtJdd92lT33qU1qxYoW++MUv6rHH2q6R9uijj7b4GUlHEzbHLuDT\nVEcvYjv6mXX0fGzveT5lyhRNmTJFkvTkk0/Ktm3XuSU1fL5nn322gsEMt5ABnYSxtQFja/swtjZo\n+lozaUwQ5+fnt9qvEWMrYyuQdszvGyvo/j1n4idePzu5b4/78a4dLXc2RsnyMvlbSBDbg0pV8Nl/\natdxS777Q9U88CPFli+SU12luid/IT35C9kDBysw7QIFL7xE/vHu3zvJve6au6kyd+zNYj1QJt+R\nBHGqyb5WIEf+yb2zrIypq3WVlvAeU+bAsm15x5yWThCn9u9Ti449f44ZJ02s58oU9MS1a9P3yjN8\nRLPSHL5TT08niCWjVPn+zk0QZ9D0Z9rEj34eyT07j/bJzZN3yLAujQNoj16bIG6sTTh9+vT0DINM\nHn744XQdxbfffluWZemVV17RsGFt/4AZY7Ro0SJNnTq12UXHa6+9pkgk0my2RSgU0uuvvy6fz5ee\nPdFo9erVqqura1Z/b9GiRRo5cqROPvnkjHE0XhAeO/PIcRz97W9/04wZM1RU1HzFy5Y899xzsiyr\n2QV4WVmZtm3b1uziO5P169eroKBAp5xySosxt/aajvezmD59+nEt1PLcc89JaqiJ2JrG97qlRXQk\nKR6P6+mnn9Zll12mwYMHZ+yzePFinXvuuc0uOBprMI4bN67dsbeHMUbxeFyRSETGGFmWpWAwKL/f\n32UD7bZt2/Twww+7Ftj55S9/qbKyMn3qUw2rKp933nl6+OGHtW3btjZXrW/rM1q+fLksy2q1Hmhb\n52VrOvKZtfd8PJ7z/Omnn9YFF1zQrH/jTEegKzG2MrZ2BGNrg4KCAhUWFra4qF9j+7Gz5TNhbGVs\nBVp1PH/Xd7QmbBvHsPNa/rLLO+wkWf72jSd2foFK7vwPJXbtUHTpW4qtWKLkzu1yDlUq8soLirzy\ngvyTp6v4X++R3dIXgB2Jten7YB15fCLXSd1Qa7fzj93z69tIPXPt2mGtvced+dm39HqbfnFrtX6n\nEtBdeu2Z2HgLbGsLd8TjcT3//PPpi7+9e/equLi4XX9MSg1/NFZVVWW8JfT//u//5Pf7ddVVV7na\nP/jgAyWTSU2YMKHZhe/bb78tyX2BdPjwYW3cuLHZbKDKyqO3CyxcuFCFhYXpWRCNFi9erPLycn36\n059u1+uRGhZS2bdvnwoKCpqtTt8YX1u3wEoNFwstrW7fntd0vJ9FaxeXrdm6dasCgUDGxWuaOnYR\nndra2mZ9nn/+eR0+fFg333xzxufYtWuX9u7dm/F9fP311yVJ117bebcvGWMUCoUUDofT38QaYxQO\nhxUKhbpkoQDHcXTTTTfp/vvvd82ceuaZZ5q9xwsWLNDf/va3Np/zgw8+aPEzev/997V161adeeaZ\nOvPMM1t8jtbOy9Z09DNr7/nY0fN806ZN2rdvnz760Y/+f/buO06q8uwb+O9Mb7vgSrOhooAQFJSi\nLE0QjBQVEyBRSSKKTxB8VbDBo/iqGCWgIjYCii/RKMojoEbRB0XAJXYF6UUikSJFFnanz5w59/vH\neg7Td2Z22s7+vp+Pn08y9cycw15zX/d1X3fMfYsXL9aSA0S5wtjK2JoOxtYTOnfuDEVRIjaiUx06\nVLdktL42BoytjK1E2aAri5zcVGqOJX284dTTI/5/xaNPo83baxP+ZzitbVaOU/07ajzzbJRddyNa\nzH0JLRf+D8puuAWSuW4pfWD9l3D+v+cTHmuz26clPdbwFhL6sOcKnw+BTevTPubwVhn1fa+ZksrK\nIYUltuXdOyPuF6EQ5H+f2OhOH/WdFLtCjF1V4ZsIhg7sheL1RNwfDP+udTrof6nalUymiMcpv2wU\nqBJRr5MN4de6cDsROnY06+9BlK6iTRCrVU7JeiS+/PLLET8yKyoqki4D3LJli7YMEEg8qPN6vVi2\nbBmGDx+O5s2bw+fz4dprrwVwYolevEoMddlceKWCOhgPX0q3YsUKvPZaXW8pl8uFb7/9Fn379o2Z\nTXvllVdgMpm0H9cTJkzA0aPJ/3DIspz0+MI/77hx4+K+xuHDh3Ho0CF07do17v31fSYg83OR6SDW\nYDCgVatWCWckd+zYgb1792Lt2rVo2bIlOnfuDJfLFXegunDhQrRp00arcPv9738Pv//E8i712oy+\nbvbv3481a9agZ8+eMRVwqq1bt6JLly6oqKjAc889V+/nUgOsel6jybKck0A7d+5cnHPOOTGVcps3\nb46p/Grfvj127oz8YROPXq9PeI7mzp0LAHj44Ydj7lPVd10mk+45S/V6TPc637Gjbkfd6B6dLpcL\nW7ZsyeizEaWDsZWxNR2MrSdia79+/SCEiNvrWL2tvjYejK1rADC2EjWUzmaDFJbI9H78vxEJLREM\nQoT9fTX3rIyo+q156lEEtm+O+BsnH9gL37/WZO0YhaLg+MP3ovr/3gX/159B+eXfrL5FK9iG/waG\nM0+sWAh+v13738bO50N30ol9CpwvPQf/159BKCf6JId+Pgyv1ibgBEufSyP+f81TjyKwab32ORW3\nC+5/vgnnonkJj1vf5lTtf/s3rkdwz+6Iz6R4Gp4olHQ6WHqfiBeBzRu0/slCCLjffBWhIwe1+y2V\nmcXwvAm7jgo1dlWFXwPC54Pz/z0P8ctvTP93X8P3ySrtftMFF2ntJXTlzYGwfQS8a1ZCqTkOxeOG\n+92l8LzzP1k/VsPZYZPKQsC56G8njvWbLyD/mKQVDFGOFGWLiaNHj2L79u3Q6/XaEtdomzZtwl13\n3aX92ASAwYMHY8mSJfB6vTFL3bZt24YpU6bgrbfe0m5bvXo1jEZjTCVVVVUVnE6n1mdwyZIluOKK\nKwDUVZDE2zTkm2++wapVq3DxxRdHLJvbtm0bAKBbt24A6v4oPvPMM3jzzTcBAJ9++ilCoVDc6osV\nK1bg8ssvR0VFBWpqanDs2LG4G/uEO+mkk3D66afDFDULtmvXLixduhStWrVCu3btcPz48YQDvvXr\n62ZbE/Wiq+8zAZmfi0Tnuz79+/fHqlWrEAqFoNfrI+778ccfMXHiRLzxxhvYsWOHdi4//vjjmMGc\nx+PBqlWrcOutt0Kn02Hfvn2wWCwR51QdEEWfi+nTp8NoNGL+/PkJj3PGjBlaX7477rgDN954Y8K+\neOrSnEQBViXLMgKBQNIlO+ks5dm5cyeeffZZfPPNN3FfJzqgS5KUdKm6asCAAXHP0RdffIGFCxdi\n3LhxcXuFquq7LpNJ95ylej2me52rfzuiB74PPvggpk6dGnHbnDlzsHz5csyfPx+dOnVK4VMSJcfY\nWoexNXWMrSdi629/+1vMnj0bK1asiLm23333XZhMJowcOTLh6zG2MrZSaQnu2o6aZ/6qbZgW+vnw\niTuFwM+336i1ODD36oOy62/K6vtbBwyB592lAAD5xx9wZPwYGNqeDeF1Q963F47f/wmO39VtqKor\nbwbHdePqegADCB36CdX3TISuvBmksmZQao5BuJyAJOHkpxbCeHby1japcC99Ff5v6jaxDKz/su44\nKloAej2UI4ciHqtusgYAkt6AsvH/BzWzHwQAKLU1OPbwvZBsduhOOhnCVQulpm4lh+Qog6Xnib8n\nps4X1G1CVvVx3XOPHkH1fbdDcpRDsloj3td0QfeI6mOVdcAQ+NWNzoIBHL3jJhjbdQB0EuQff4Cx\nQ2dUPPJUA78dwPH7cfB9ulbrRVzz5CNwLnwOIiTXnYtf6FufAtuVhV0FETr6M449dLd2rQs5GHG/\n89WFcL9d1+5I1649pD/dkvT1Uhm7ZsrSfzA8/1yqTTp4P3gHvrUfQbLZIzd8MxpR9qcJ2v+V9HoY\nO3RCcPuWumPcvROH/3BVVo8t5lj7DYRr8Uta32Tf6v+F/4t1kMwWKKwmpgIpygrilSvrZtC6dOkS\ns+GHx+PB888/jz59+uC0007TBlJA3Q9Sk8mEOXPmaLcdO3YMs2fPxp133omXX35Z+6GpKAqqqqri\n9khUd14+77zzsHfvXrz22mvaphd2ux0TJkzAqlWrtF3L161bhxtuuAGBQCCmKkJd0mez2RAKhTBl\nyhRMmjQJdrsdwIllmfEGsXq9Hp06dYIQApMnT8aECRNiHhPPvffeiw0bNqC6uhoA8O9//xsTJ05E\n165dtR3bX3zxRW1H6WgbNmwAgIjvNp3PBGR2Lnr06JHxJiIzZsyAoihatQxQVznyt7/9DePGjcOC\nBQvQokULdO7cWRvgL1q0KGYDJaDue+/QoQOCwSBuv/12TJ8+PeL+qqoqnHHGGXjiiSe0Ad2sWbOw\nePFiLF++POH3BkQmalMJiF6vt97HJHvcwYMHsX//fggh8NVXX9U7W6soCm644QY8+eSTaN48dnOK\nTp064eDBgxG3bdmypd4eiUD8c7Rq1SqMGDECN910E1588cWkz6/vukwmnXOWzvWYznUOAL1790bL\nli2xbNky7bbnn38ekiTFJBymT5+OdevWYcGCBWl/XqJ4GFvrMLamjrH1xON69eqFQYMGYf78+do1\nAACfffYZNm7ciLvvvhutW7eO+zqMrYytVHoUnxfynt2Qf/ge8p7dEUk9ANrt8g/fQwlPHmeJ43d/\ngr7NieX0wuNGcPvmug3oQjICmzdEPN7+m+vg+MN/RVQSK7U1CO3/MezYJfi/+SIrx2c6/0KYzo9s\nfaNU/xyTHDZ2/BUcYyM3vbP2G4Ty2+6FFLZ5mPC4Edr/o5YchiQh8PXnMe/b7PZpsA4eFtH3Vbhq\nI9/XYETo0E9xj9vSuz/MF4f93VAUBL/fjuDObRA+H4Lbt0DUM8GYCn2r1jjpwccjKpa1RL16mOd0\nwEkPPR6z0VrKslSlK+RgxLUeitpIUPn5cN39e3ZDPrAvpddMNQ6nS9Lr0Xz6zIhrT3g9Eclh3UkV\nOGnaIzBGbQ7oGPPH+K9ptqDspltP3JCl3sWS3oDySXdDsp34nSc8bi05HL1hJVE+FE0FcSAQwLBh\nw1BdXY1t27ZBkiTs3r0bAwYM0AaVhw8fxp49e+D1eiFJEv74x8h/xO3bt8fq1atx99134+2334bD\n4YDD4cB1110X08fN6/XCZrPFHRgOHjwYt9xyC6699lpUVFRgwYIF2jEAwOzZsyFJEvr164cWLVrg\nwgsvxKhRo7Bly5aYQezVV1+N22+/HWPHjkXz5s1xyy23YMSIERGPqaysRPfu3WOO44UXXsBdd92F\ntWvXYsKECRg4cGBK3+WkSZNw+PBhDB06FGeddRZOPvlkvPHGG1rl1ogRI9C2bVvcddddcZ+/fv16\n2O32hLu7p/KZMjkXf/7zn1P6fPGcf/75qKqqwtSpU7FkyRLYbDZYLBaMHj0aK1eu1KpqFi5ciPHj\nx6OyshITJkyI6W9ns9kwf/58PP7441i0aBHuu+8+nHPOOdr9P//8M3bs2IE777wTnTp1Qt++feHx\neNCuXTt8/fXX9fbwmz59OjZt2oQDBw5gxowZ9Q6SUl1+E/24a6+9Fh9//DGOHDkCSZIgSRJGjx4N\nm82GFi1a4LPPPovb2+/JJ5/EmWeemXCzm1GjRuGxxx7TNhsAgOXLl2PmzJn1HqN6jqZNm4YlS5ZA\np9OhRYsWeOONN7Sd3JOp77pMJN1zls71mM51DtRVIX7wwQeYOnUqKisrYTAYMGzYMMyePTvmsePG\njcPixYuTVqQR1YexlbGVsTVWprH1lVdewfDhwzF48GBMnToVHo8H999/P0aOHIkHHngg4eswtjK2\nUunR0o8ZVEBKkOp/Xn2bszVrjhbPLIJrycsIbFqP0IG9EH4/dCedDP2pp8etjnWMHgvroF/DvWwx\ngrt31iWHQwoMp7eF8ZwOsF35WxhOPSPOoaRwvFFM53VBxV/mwr/xW/jWrERg60Yo1T8DOj30FS2g\nP/V0WAddAfPFfSFFrVABANvg4bBc0r/uWHdsgbx/L4TPC8NpZ8Bw1jmwDR0J47kdY54nmcxodttU\n2K4cBc/bSyD/uAfygb2QLFYYzjgLxg6dYPv1VdC3ij+hBwAn3fcoPB++B98nqyAf2AvleDV0zU6C\nvmVrmDqfD+H3QTIk3sjvly8the/oV2jx7N/hfnsJAuu/QvA//4ZkMMJwVjtYLukH6xVXJ570rG/V\naC42gkvhNVNNj6bTYiLdf2v6kypQ8Ze58H7yEXxrPkTwP/+GcLtgOLMdTL/qCvuo66ELS8qqzD16\n46QHZsH1P69A/s+/IRkMMHbuirI/jIfhjLPgen2RVvEdcXz1fOfJ/v2YL7gIJz+1EK5XX0Rw5zYo\nNcdhOPtc2AYPg771Kaj+79tycy6JEpAy6f8iSZIA0vuHXepGjBiBDz/8EMePH8+4UqdYdOzYEeee\ney7ee++9Qh9K0Xnrrbfwm9/8BkuXLo3ZZCnbhBCoqalJ6d+ZJElo1qxZg5bpbN++HZdffjnWr1+f\ncLm12+1Gjx49MGXKFNx888149913sWjRoogl0LmS6XWZz3NGpUv9tyWEyOmvNMbXSIytTUNjiq1C\nCHz00UfYvLmuf2fv3r3Ru3fvhK/B2EqUGGMrUenI99iViBLLNL4WZYuJYqaENchXeb1eVFVVoVev\nXo12AKvuwO10OvH9999rvQQp0ieffAIASQeD2RAKhRAIBOL25IwnG9fd+++/j7lz5ybtxWm32/Hx\nxx/jX//6Fy699FIsW7YMixYtavB7J5KN6zJf54yIMsfY2rTl6++0EAKyLDcotkqShCFDhmDy5MmY\nMmVKvcfM2EpERKUuEAjA7/fndexKRNnHBHEaVq1ahfLycsyaNSvi9vnz58PpdDZoGWchPfXUUzjl\nlFNw//33o6qqChaLResLSZGqqqrQtm1btGnTJmfvIcsynE4nvF4vTCZTvZvUGAyGrDT5nzx5ckpV\nQKeccgoWLVqENWvW4KWXXorpZZot2bou83HOiChzjK2Uj7/T6s7qbrebsZWxlYiIssTn88HtdsPn\n8+U1vhJR9jFBnIZly5bB6/Xi7LPP1m575ZVXMHXqVEyfPh1jx44t4NFlbs2aNWjWrBkGDBiAefPm\n4f7774+7iUpTd/jwYWzYsAEXXXRRzt4jGAzC6XRCCAEhBNxuN+x2e8JAazAY4HA4SjLAZuO6zMc5\nI6KGYWxt2vLxd1pRFDidTsiyzNjK2EpERFkghIDX69U2nGvq8ZWoFLAHcRo2bdqEu+++G36/HwBw\n/PhxtG/fHnfccQcqKysLfHSZW79+Pe655x4EAgF0794dTzzxBP9oR7ntttuwdOlSHDx4EEajEd26\ndcMjjzyCwYMHZ+09fD5f3B1dLRYLLBYLAoEAvF6vtomN1Wot6dnXhl6X+Thn1HSwT2LuMLY2Xfn4\nOx0KhbSJ13BGoxF2u52xlbGVCoixlahxUpPBwWAwMWpqCwAAIABJREFU5j673Q6j0djk4itRMck0\nvjJBTFRgQgj4fD74fL6Y+9TksCRJcf+9McAS5QcHsUSNTzAYhMvlirldr9fD4XBAp9MxthIVEGMr\nUeMjhIDT6UQoFIq5z+FwwGg0ao+LxvhKlB+ZxtfkDWKIKKeSzb5ardaIRv8MqERERKkJBAJwu90x\nt0cvb2VsJSIiSk2iVTmSJMHhcES0lmB8JWp8mCAmKhC1J6KiKDH32e12mEymAhwVERFR4+bxeLSW\nJeFMJhNsNhsHrURERGlSN1KPptPp4HA4oNfrC3BURJRNTBATFUCy2Ve1bxMRERGlLtmqHLPZDKvV\nyuQwERFRmvx+PzweT8zt4S2biKjxY4KYKM8SLXuVJAllZWWcfSUiIkpTslU50S2biIiIqH5CCHi9\n3rircqJbNhFR48cEMVGeJNuMTqfToaysjLOvREREaUq0GR3Alk1ERESZEELA5XJBluWY+4xGI+x2\nO5PDRCWGCWKiPPF4PAgEAjG3c2kOERFRZpIlh8N3UyciIqLUCCFQW1sbd1UOWzYRlS5mpIjyQAiR\ncPaVlcNERESZiddvWG3ZxOQwEVHT4/F48NJLL2HevHk4dOhQoQ+nUQqFQglbNhXLZq/PPPMMhgwZ\ngquuugo7d+6s9/Hvvfce/vKXv+ThyOLjdUmNAbNSRDmmLs+JDrJcmkNERJQ5v98f0xdRTQ4bDFwk\nR0T5c+TIEQwcOBAXXHABdDoddDodHA4HevbsiQEDBmD58uWFPsSsmjhxItq1awedToczzzyz0Iej\nOXLkCHr06IGdO3fi4MGD6NatG44ePVrow2qQF154ARdeeKF2Xe3Zsyfu4w4cOICOHTti5MiRDXq/\nUCgUd2VOrvv5f/DBB+jTpw8qKyvRt29fjBw5Elu2bIn72Iceegjvvfce3n//fSxatAi33HILvvzy\ny4Sv/d133+HGG2/EsGHDcnX4SZXidUmliQliohxSd1SPrh42GAxMDhMREWUoEAjE3VHd4XBws1ci\nyruWLVti9erV+PrrryFJEiRJwueff46vvvoKa9euxTXXXFPoQ0zbypUr0apVK+zbty/mvueffx6r\nV68GAPTr1y/fh5bQtGnT4Ha78d///d944okncPjwYRw8eFC7P9lnKlY333wz1q9fj9NOOw1nnHEG\nzjrrrLiP27hxI3bt2oVTTjkl4/dSFAUulwtCiIjbLRZLTpPD77zzDkaMGIHbb78dn376KdatW4ee\nPXuisrIS3377bcRjDxw4gMceewyTJk2CwWBARUUF7rvvPgwbNgz33nsvfvjhB+2xR44cwWOPPYa+\nffti/PjxuPDCC3P2GZKp77okKhYsryDKESEEPB5PzPJXtecwk8NERETpCwaDcLvdMbc7HA5WDhNR\nQX355ZcQQqBt27bo0qVLoQ+nQV566SVUV1fD4XDEvf+LL74AUDwJYp/Ph8WLF+PKK6+EzWbDdddd\nh3bt2uFXv/qV9pj6PlOx2rdvH/bv34+xY8cmfMwVV1yBAwcOoE2bNhm9h6IocDqdMatezWZzTpPD\nTqcTEydORL9+/TBmzBjt9mnTpuFvf/sbxo8fj2+++UYbO7/11lsIBAK46KKLtMcOHDgQl156KQYP\nHowHHngAe/bsgclkwsknn4wBAwagc+fOePDBB3P2GZJJ5bokKhb8FU2UA0IIeL3emE3p1OVmTA4T\nERGlT5bluEtfuSEdERWDdevWAQD69u1b4CNpuH/961/o3LkzmjdvHvf+tWvXAgD69++fz8NK6LPP\nPoPX60XPnj1hMBiwYMGCmMfU95mKlfpdDxgwIOnjMk0OJ2qJaDKZcr4h3ZtvvokDBw7ggQceiLhd\np9NhzJgxmDNnDqqqqrTrbOvWrQDqqvZVkiTB4/FgyJAhGDJkSMTrXHHFFXj66acL9hshleuSqFiw\nxQRRDvh8vpi+iDqdjhvSERERZShRcthutzM5TERFoaqqCkDxVNVm6j//+Q/279+f9HOsXbsWLVq0\nQKdOnfJ4ZIl9/fXXAIDu3bvHvT+Vz1SsUk0QZ0JNDodCoYjbjUZjXjake+eddwAAPXr0iLlPbQnx\n7rvv1vs68X4fzJs3D126dMHFF1/cwKPMXH3XJVExYaaKqIGiZ1p9Ph98Pl/EbZIkweFwMDlMRESU\nAiFERA9EddOc6L6IVqsVJpMp34dHRBRDURR8+umnkCSp0VcQ/+tf/wKQuBL66NGj2Lp1a1F9zu++\n+w4A0K1bt7j31/eZitnatWtx6qmn4txzz23Q6wghIsau9e2Xs3XrVnTp0gUVFRV47rnnGvTeiXz3\n3XeQJAlt27aNuU+9TT23ALTWDIcOHdJuk2U5JsH9ww8/4IUXXsBf/vKXXBx2yuq7LomKCbNVRBkS\nQsDn86G2tlYLqsFgEF6vN+ax3DSHiIgoNbIso7a2VptsVaub8r1pDhFROjZv3oyamhqcdNJJafcX\n/eyzzzBmzBhceuml6N+/P4YMGYJt27Zp9//8888YOnQoLrzwQkyZMgUAUFtbiylTpmDIkCG48MIL\nMWjQIOzevTvhewghsGDBAlxyySXo168fhg8fjoMHD+KDDz7ATz/9hA8//BADBw7EwIEDcdtttwEA\nFixYgIEDB+K6666LeK1PPvkEQF2y9R//+Acuu+wy9OvXD506dcLf//73tD57uCVLlqBPnz6orKxE\nv379sHHjRnz++efYvn173MfX1NTgsssuw8CBA/Hmm2+irKwM11xzDQYOHIg5c+ak9ZlU9Z2Ln376\nCZdffjkuuOAC3HLLLQiFQnj99dfRv39/DBgwANdcc03cPvmJ/PDDD/iv//ov9OrVC5dddhlGjx6N\nF198Ubv/4MGD2LVrV8Lq4WnTpqFnz57o1q0bvvzyy4j71Ouma9euuPfee+HxeFBVVYWrr74al156\nKS666CKsWLEi4jnh++XMmDEDW7duxfHjx3HHHXfE3Ry2IWRZxo8//ggAqKioiLlfvS18Q7err74a\nJpMJX331lXbb6tWrI1qdCCEwfvx4PP300zCbzQ0+zj179mDChAno1asX+vbti27duiVNmNd3XSYT\nfs6mTp0KAPjmm2+0c9a9e3e8//772uMzvR7ru84B4OGHH0avXr3QtWvXiGtLCIFf//rX6NSpU8yq\naWrk1AqNdP4DIOqeStQ0KYoinE6nqK6uFtXV1cLj8QhZlsWxY8e029T/gsFgoQ+XiBooLO5lFDdT\n/Y/xlZoyRVGEz+fT4mdNTY0IhUIR8Vb9z+12C0VRCn3IRNQApRZbn332WSFJkrjyyitTfo6iKGLq\n1KmidevWYuXKldrtVVVVol+/ftr/v/nmm8XGjRvFpk2bhCRJ4umnnxYjR44UGzZs0F6nW7duom/f\nvnHfJxAIiKuvvlqcffbZYteuXUIIITZu3Ch69OghJEkSjz/+eMTjzz33XHHeeeclPO7bb79dSJIk\nLr/8cjFz5kwhy7IQQoinn35a6PV6sWPHjpS/A9Wdd94p7Ha7+Oyzz4QQQuzbt09cfPHFwm63i/Hj\nxyd9rt/vF0ajUYwaNSrhY+r7TKmei+uvv15s375dOxdDhgwRY8aMEW63W4wbN05IkiSWL1+e0md+\n++23RVlZmfjrX/+q3XbVVVcJnU6nfYevv/66kCRJzJ8/P+b5L7zwgnj00UeFEEKMGjVK9OnTJ+J+\n9bpZv369kCRJTJw4UYwZM0YcPXpU+P1+MXfuXGE0GsWaNWtEdXW1OH78uAiFQtrzr732WiFJkpAk\nSRiNRuHxeFL6XKmqrq7WXjuenTt3CkmSRNu2bSNuv//++8WgQYOE3+8Xx44dE1dccYXYu3evdv8z\nzzwjbr311qwc4zvvvCPKy8vFzJkztd8du3btEs2aNROzZs1K+txUrsto6jnbuHGjkCRJTJkyRYwd\nO1bU1NQIIYR48cUXhdFoFN9++60QIv3rMdXr/PXXXxczZswQQsReW06nUzRv3lzodDrx5ZdfpvzZ\nKH8yja+sICZKk1rZFAwGAdT1PrRYLHC73THVTdxRnYiIqH7il2WuanWSyWRCWVkZAoGAFm9V+dg0\nh4goXeoGden0uH3ggQcwa9YsvPPOOxGba7Vp00arzPP7/di/fz/OP/981NTUAAAeeeQRzJs3D127\ndgVQ186uU6dOWr/TaBMnTsR7772HpUuXam0Kzj//fJx33nkAgEsuuUR77E8//YTdu3cn/RxqBfHQ\noUNx7733aislO3bsCEVRsGHDhpS/AwB4/PHH8eSTT+K5557TjuW0007DgAED4PF40Lt376TP37Jl\nC2RZxgUXXBD3/lQ+Uyrnwul0wuVyoWPHjtq5OHr0KF599VXYbDYcO3YM7du3R2VlZb2fecWKFbjm\nmmtw44034p577gEAHD9+HB9++CFat26tbcKWqP+wLMtYsmQJpk2bBgDYvn17xIpV9brp0KEDamtr\nAQA7d+7Eq6++imbNmsHtduOqq66CLMuYP38+JEmK2S9n+vTp2qZ+Tz31FKxWa72fKx1qZWui8bL6\nedTvWvXwww9jxIgRGDp0KH73u9/hoYcewumnnw4A2L17N+bPn4+//vWvDT6+Dz74ACNHjsS4ceNw\n7733ar87zj33XIwePRoPPfQQjh49mvD59V2X0cL/rastM7Zu3YqXX34Z5eXlAIDf/va3kGUZc+fO\nhcvlSvt6TOU6F0Lg5Zdfxn333Qeg7roJ/83lcDgwf/58CCGyUqFNxYOZK6IUCSHg9/u1FhJ6vR52\nux16vR4ejyem75HFYuGmOURERPWQZRlut1vri2iz2WA2m+O2bdLr9XnZNIeIKF3pJog3bNiARx99\nFNdccw169eoFADhy5AhWrVqFmTNn4rHHHgMAfPXVVxg0aBCAExtezZo1C23atIl4vQMHDuDkk0+O\neZ+1a9di4cKFGD16tLbpl6q6uhpWq1V7f+BE8jd8yX64mpoafPfdd7jkkktwxx13RNy3f/9+APHb\nBSSyZ88ePPDAA+jatSv+9Kc/Rdx37NgxAMCll16a9DU2btwIAAkTcfV9plTPxY4dO7TWFOq5mDlz\nppbgXL58edLjVFVXV2PcuHFo1apVRCKzefPmOHToEIxGo9ZCae3atWjdujU6duwY85muvPJKAMCm\nTZuwZcsWPP7449r9X375Jfr16wePx6Md6z333AO9Xq8ljNVYunnz5rj75XTq1AmbN29O6TNlor79\nedRJ4+jHSZKEyZMnY/LkyRG3CyFw0003Ye7cubDZbADqWjY89NBDOHbsGE499VQ8/PDDKbWnqq6u\nxp/+9KeYc6Rq2bIlPB4PPv/8cwwfPjzua9R3XUb76quvcNlllwEAPv/8cwDAnXfeGfGbR/0uvvvu\nO2zfvj2t6zHV63z9+vXo06cPJEnCjh07sGnTJsycOTPitcaMGYPbbrsN7du3T+mzUePABDFRCtTK\nJrWKyWw2a9VLgUAgpvdOeFAnIiKiWEIIBAIBbQAYPvGqKEpMzzxJkmC325kcJqKis2fPHuzfvx9W\nqxU9evRI+Lhjx45hx44duOSSS/Dss89CCIGdO3eib9++0Ol0qKioQGVlJVauXIlWrVoBqOvzq26s\ntmbNGhiNRowePTridX0+H7766isMHTo05j3V5NbYsWMjbg+FQli3bh0uueSSiKIWNZmaKNFdVVUF\nIQR++9vfxty3bt066PV69OzZM+F3EO2ZZ56Bz+fD9ddfH3PfmjVrcMYZZ6Bdu3ZJXyPVBHGiz5Tq\nuejRo4d2ftesWQOz2Zww6ZzMCy+8gCNHjmD69OkxFZhlZWXa/z5y5Ai2bduGMWPGxLzGoEGDtImD\nhQsXwmg04g9/+AOAunN7wQUXoEuXLgDqksUmkwl9+vSBx+PRJmR37NgBoG5FbCFWvYZ/1njU3wcO\nhyOl13v66afRsWNH7Xvxer247LLLMH36dIwaNQpffPEFJk2ahIULF9b7Wi+++GLCcwScmAyJLhIL\nl26COPzfelVVlXbOwm3duhVA3WR6utdjqtf5RRddhIsuuggAsGjRIuh0Ou3aUgkhcP7552e9qpwK\niwlionpEVzbZ7XZtx/RQKBQzgNXpdKxuIiIiSkIIAY/Hg0AgAKCubYQaO9VJ2ei2TTabjRu+ElFR\nqqqqAgD06tUraaJt3rx52nLvNWvWQJIk/O///i9OOeWUet9DCIFPPvkE3bt316ojVR9++CG8Xm9M\nJaPL5cJHH30Eo9GoVSaqvv32WzidzpjWBZ988gnOOOMMnHnmmXGPQ022Rlf1KoqCFStWoLKyEs2a\nNav386iWLFkCSZJiktsHDhzA999/H5PYjmfTpk0oKyvD2WefnfCYk32mTM9Fr169Mlpiv2TJEgB1\nG64lo37XiTaoA4BAIIB//OMfGDZsGFq2bAm/3x9ReetwOPDpp5+iZ8+e2spX1aeffgoAaW+qmC1l\nZWUoLy9PuKmfent0tXw833//PebNmxexed38+fNx4MABjBo1CgBw8cUXY968efj++++1ViuJ1HeO\nPv/8c0iShA4dOiR8jfquy2SqqqrQs2fPmASs2nKkc+fO2m2pXo+ZXOf/+Mc/0Lt375jHq6sIqLSw\nBzFRAkII+Hw+OJ1OKIoCvV6P8vJyLTksftlVPZrdbq93uQwREVFTFQqFUFtbqyWHbTZbRGWw1+uF\nLMsRz7FYLFr8JSIqNmp7CbX6L55AIIC33npLS6zu27cPzZs3TylRA9QlZI4dOxa33cKyZctgMplw\nzTXXRNy+c+dOyLKMLl26xCSV16xZAyAy+VhdXY0tW7bEVNoeOXJE+99r165FeXm5VmGoqqqqwqFD\nh/C73/0upc8D1PX03b9/P8rKymKSlOrx1ddeAqhLxCVKcqbymTI9F8kSt8ns2rULZrM5puVHtOj+\nw2priHBvvfWW1rIiupd/eXk59u3bh3379qF///4RyeHw17/22msz+hzZ0LlzZyiKguPHj8fcd+jQ\nIQCot42BoigYN24c5syZE1GV/Prrr8d8x1dffTVWrFhR73Ht3Lkz4Tnatm0bdu3ahfPOO0/r4x1P\nsusymf/85z/Yt29f3Gv/o48+AgD8/ve/125L9XpM9zrfunUr9u/fj1//+tcx9y1evFhLvFPpYBaL\nKAFJkrQlI2azGWVlZVrlklrdpFYVq2w2GzelIyIiSkJRFCiKAp1Oh/Ly8ohql3htmwwGA9s2EVFR\nUyuIk/UffvnllyMSOBUVFUmX2G/ZsiUioZcoYer1erFs2TIMHz4czZs3h8/n0xJ+6lgmXpWjuiQ9\nvApQTXSHL1NfsWIFXnvtNQB1Fcnffvst+vbtG7Na8pVXXoHJZNISVxMmTEi6gRcAbTIw0fGFf95x\n48bFfY3Dhw/j0KFD2oZ90er7TEDm5yLTBLHBYECrVq0SrjjdsWMH9u7di7Vr16Jly5bo3LkzXC4X\nbrzxxpjHLly4EG3atMHw4cMhyzJuuukmrWWTJEnatXnxxRdHPO/AgQNYt24devbsGVNdrtq6dSu6\ndOmCiooKPPfccxl91vr069cPQoi4vY7V2+pr4zF37lycc845MVXomzdv1jb7U7Vv3x47d+6s97j0\nen3CczR37lwAdZvlJVLfdZmMes6i/63v378fa9asiTlnqV6P6V7naguS6P7XLpcLW7ZsyeizUXFj\ngpgoCbWqKbplhN/vj7urOqubiIiIkjMajbDb7SgvL49oGREKhWKqm9h3mIiK3dGjR7F9+3bo9Xqt\nfUS0TZs24a677oroszt48GAcPHgwZjNOoK5CccqUKRF/+1avXg2j0RhTpVxVVQWn06m99pIlS3DF\nFVcAqKvOjDfB9s0332DVqlUxS9K3bdsGAOjWrRuAugTuM888g/HjxwOoa0kQCoXiVjauWLECl19+\nOSoqKlBTU4Njx47F3TQv3EknnYTTTz89Zgy1a9cuLF26FK1atUK7du1w/PjxhHFg/fr1ABL3ea3v\nMwGZn4tE57s+/fv3R3V1ddz+tT/++CMmTpwIq9WKHTt2oHfv3gCAjz/+OCZR6vF4sGrVKowZMwZ6\nvR7Hjx/X2jao1DYVzZs3j3ju7NmzYTQaMX/+/ITHOWPGDGzduhXHjx/HHXfcEff7aSi1l3W8qt53\n330XJpMJI0eOTPj8nTt34tlnn8VTTz0Vc5/atir6tlQKugYMGBD3HH3xxRdYuHAhxo0bF7cPt6q+\n6zIZNUEc/e9n+vTpcc9Zqtdjute5+rcjOqn84IMPYurUqRG3zZkzB/3799f+vVHjxAQxURKSJMX8\nYJFlmbuqExERNYDJZIqImYn6DsfbVZ2IqJisXLkSANClS5eYzbQ8Hg+ef/559OnTB6eddpqWpATq\nkj0mkwlz5szRbjt27Bhmz56NO++8Ey+//LLWf1RRFFRVVcXtP6z+jTzvvPOwd+9evPbaa9qGUna7\nHRMmTMCqVatw7NgxAHUVtTfccAMCgUBMxaG6XN5msyEUCmHKlCmYNGkS7HY7gBMtCeIliPV6PTp1\n6gQhBCZPnowJEyak9P3de++92LBhA6qrqwEA//73vzFx4kR07doVFRUVAOo2DLvuuuviPn/Dhg0A\nEPHdpvOZgMzORY8ePTLeoGvGjBlQFEWrRAXqqjL/9re/Ydy4cViwYAFatGiBzp07a2PRRYsWxWxO\nCNR97x06dEAwGMSUKVPwwAMPRNxfVVWF0047Dc8995wWY5977jm88cYbWL58ecLvDUBEnM7VOLdX\nr14YNGgQ5s+fr10DAPDZZ59h48aNuPvuu9G6deu4z1UUBTfccAOefPLJmAQ4AHTq1AkHDx6MuG3L\nli319h8G4p+jVatWYcSIEbjpppvw4osvJn1+fddlMlVVVTjjjDPwxBNPaOds1qxZWLx4ccw5S+d6\nTOc6B4DevXujZcuWWLZsmXbb888/D0mSYiaqpk+fjnXr1mHBggVpf14qHlwLT5QGdVOdaKxuIiIi\nypzf74+p0rFarWzbRERFKRAIYNiwYaiursa2bdsgSRJ2796NAQMGaAnbw4cPY8+ePfB6vZAkCX/8\n4x8jXqN9+/ZYvXo17r77brz99ttwOBxwOBy47rrrYqopvV4vbDZb3KTr4MGDccstt+Daa69FRUUF\nFixYEDGxNnv2bEiShH79+qFFixa48MILMWrUKGzZsiUmQXz11Vfj9ttvx9ixY9G8eXPccsstGDFi\nRMRjKisr0b1795jjeOGFF3DXXXdh7dq1mDBhAgYOHJjSdzlp0iQcPnwYQ4cOxVlnnYWTTz4Zb7zx\nhlYVPWLECLRt2xZ33XVX3OevX78edrsdPXv2jHt/Kp8pk3Px5z//OaXPF8/555+PqqoqTJ06FUuW\nLIHNZoPFYsHo0aOxcuVKbXXNwoULMX78eFRWVmLChAkxvWNtNhvmz5+Pxx9/HIsWLcJ9992Hc845\nR7v/0KFD2LlzJyZNmoQOHTpg6NCh8Hq9aN++Pb7++ut6++NOnz4dmzZtwoEDBzBjxoyME+L1eeWV\nVzB8+HAMHjwYU6dOhcfjwf3334+RI0fGJLzDPfnkkzjzzDMTbiQ3atQoPPbYYxBCaGP15cuXY+bM\nmfUek3qOpk2bhiVLlkCn06FFixZ44403MGjQoHqfX991mcjPP/+MHTt24M4770SnTp3Qt29feDwe\ntGvXLu45S+d6TOc6B+oq/D/44ANMnToVlZWVMBgMGDZsGGbPnh3z2HHjxmHx4sVJq72p+EnRlRop\nPUmSBICYKg+iUufz+WKqh+12O1tLEJU49UelECKnM0GMr9QUqZvWhVPbUHDylah0MbYWzogRI/Dh\nhx/i+PHjOUv65UvHjh1x7rnn4r333iv0oRQVIQRef/11XH/99fj73/+OESNGQJIklJeXF+XKHCEE\nPvroI2zevBlCCPTu3VtrrxHP9u3bcfnll2P9+vUJW5m43W706NEDU6ZMwc0334x3330XixYtwptv\nvpmrj6HJ9Lp866238Jvf/AZLly6N2XSSKFWZxleWZRClKBQKxSSHjUYjk8NEREQZircyR5Iktm0i\nIsoCdUPQcF6vF1VVVejVq1ejTQ4fOnQIrVu3htPpxPfff49bb7210IdUdAKBgNbLVq1itVqtRZkc\nBupi/5AhQzBkyJCUHv/+++9j7ty5Sftc2+12fPzxx5g2bRpeffVVtGvXDosWLcrSEcfKxnWp9oxO\nlhwnypXi/OtAVGSSDWCJiIgoM8FgUNvFXlXMA1giosZi1apVKC8vx6xZsyJunz9/PpxOZ4NaJBTS\nU089hVNOOQX3338/qqqqYLFYtJ7LVEdRFHi9Xnz++ec4/fTT0bp1axgMhpIqbJo8eXJKFbannHIK\nFi1ahDVr1uCll16K6ROeLdm6LquqqtC2bVu0adMmB0dJlBx/fVOTo24yl84yMw5giYiIElMnUhVF\nSfk5iqLETL6W2gCWiKhQli1bBq/Xi7PPPlu77ZVXXsHUqVMxffp0jB07toBHl7k1a9agWbNmGDBg\nAObNm4f7778/7gZlpcLv9yMQCKT1HK/Xi8OHD2PTpk3o2rUrAHBlTo5l47o8fPgwNmzYgIsuuihH\nR0mUHHsQU5MhhEAgENAGo6n2DlYUBbW1tRHXu8FggMPhYJAlaiLYJ5EosVAoBJfLBUVRYDQaU67O\ncbvdMYPe8vJybXMeIiptjK25tWnTJtx9993w+/0AgOPHj6N9+/a44447UFlZWeCjy9z69etxzz33\nIBAIoHv37njiiSdKckymTryqcbJZs2YpFScFg0Hceuut+Oc//4lDhw7BaDTiggsuwKOPPorBgwfn\n+rCbrIZel7fddhuWLl2KgwcPwmg0olu3bnjkkUd4zigjmcZXJoipSYgOsCaTKeVZVA5giYiDWKL4\n/H6/NvGq0+ngcDhSio/BYBAulyviNovF0mj7YRJR+hhbieILhUJwu90IhUIA6qp/TSZTvWNXIQRq\na2sjVvPodDqUl5eXZBKdiOLjJnVECYRXNgFj39RkAAAgAElEQVR1AdZsNqf03GAwGJMctlgsTA4T\nEVGT1pCJ13h9/XU6HSwWS06OlYiIqLEIBAJwu90A6mKj3W6HwZBa2sbn88W0erLb7UwOE1FKmCCm\nkhXdUiKdyib1+RzAEhERRYo38ZpKZZOKA1giIqJI0ROvRqMxrdgYCoXg8/kibjObzSknl4mI+NeC\nSlJDKptUfr8/ZgDL5v5ERNSUZdpSQqUoSswA1mQycQBLRERNVqYtJcJFFzZJksS2TUSUFv4ap5LT\nkJYSKiFE3AGs0WjM2nESERE1FtmYeAXqdlYPxwEsERE1ZQ1pKaGSZRmyLEfcxsImIkoXE8RUUoQQ\ncDqdEEJkVNmk8vv9MRtZcABLRERNVXhyOJPKJqBuAje6r7/Vak1pV3YiIqJSI8uylhxOt6VEuOjJ\nV4PBwMImIkobE8RUUtRKJFmWM541jVc9bLFYOIAlIqImy2q1QlEUWK3WjNtBRMdWnU4Hk8mUjcMj\nIiJqdPR6vdZmKZOJV6BuU/Xo6mGLxcLqYSJKGxPEVHLMZnPaLSXC+Xy+mOrhhrweERFRY6fT6VBW\nVpbx8+NVD3MAS0RETZkkSbDb7Rk/P15hE6uHiShTLIkkCiOEgN/vj7iN1cNEREQNw+phIiKi7IrX\ne5htEYkoU8x6EYWJrh6WJInVw0RERA3A6mEiIqLsEkLE7T2caRsoIiImiIl+oShKTIWT2Wxm9TAR\nEVEDsHqYiIgou2RZRigUiriN1cNE1BDMfBH9Irq1hCRJsFgsBToaIiKixi9e9bDVamX1MBERUYbi\nVQ8bjUZWDxNRgzBBTI2CECJmhjSb4lUPc/krERGVulzGVgAxA1i9Xs/Nc4iIqKSFQqGYTc+zKRgM\nxsRvFjYRUUMxQUxFLxQKoba2Fi6XK2eBNl71MHsPExFRqRJCwO12o7a2FsFgMCfvEQqFYl6bk69E\nRFTKAoEAamtr4fF4cvYe0WNXVg8TUTbwrwgVNb/frwVXnU4HRVGg1+uz+h5CCG6eQ0RETUYoFILb\n7daqjxRFycn7RMdWVg8TEVGpUts+qMlbIQSEEFkfU4ZCIciyHHEbq4eJKBuYIKaiJISAx+PRBpcm\nkwk2my0nSVtZlmMGx9w8h4iISlEgEIDb7QZQN/Fqt9tzUnUkhIipcDKbzZx8JSKikhM98Wq1WnMW\n86Jjq8FgYPUwEWUF/5JQ0QmFQnC5XFrS1mazwWQy5WxQGR1kTSYTdDp2XyEiotIRXdlkNBpht9tz\nFluDwWBMWyhOvhIRUakJBALweDwQQuR04hWIv/KVbRGJKFuYIKaikq/KJpWiKDH9ERlkiYiolOSz\nsknF6mEiIipl8SZebTZbTguNAoFAxOSrJEls3UREWcMEMRWF6JYSua5sUkUPYHU6XdZ7HBMRERVK\nvidegfj9EVk9TEREpaIQE69A/JWvnHwlomxhgpgKTlEUuFwuLcDmuqWEKtESHQZZIiJq7PLdUiJc\nvM3p2B+RiIhKQTAYhNvtzktLiXChUEgbL6u48pWIsom/1qngJEnKe4AFuDkdERGVLkmStGRwviqb\ngMSb0xEREZUCdeyaj5YS4eJtTseVr0SUTUwQU8FJkgSHwwGdTpfX6l1uTkdERKXMYrHAZDLldQDJ\nzemIiKiUGQwGlJeX53Xsys3piCgfmCCmopDv2U9uTkdERKVOkqS8x1duTkdERKUu37GVm9MRUT6w\nXJKapHj9EblEh4iIKHOKonBzOiIioiyLHrtyczoiygUmiKlJYpAlIiLKLm5OR0RElF3xJl+58pWI\ncoEJYmpyFEWJ2QGWFU5EREQNE926ibGViIioYaJjK1e+ElGuMEFMTU68IMvN6YiIiDInhIipcGJ/\nRCIiooaJHrsythJRrjArRjkhhIDH44nZrKYYMMgSEVFjFQgE4HK5IjarKQbRsVWn03HylYiIGgVF\nUeB0OmNWmRaaEIJjVyLKGzaGo6wLhUJwu90IhUKQJKmo+vsyyBIRUWMkhIDX69UmXgOBQFH1IIwX\nW4sl9hMRESUSDAbhdru1AqeysrJCH5ImemWOJElsL0FEOcMEMWVVIBCA2+0GUFc9ZLfbi2qAyCBL\nRESNTfjEKwBYrdai6u/LyVciImpsoideDQYD7HZ7gY8qEidfiSifmCCmrIgOsEajETabreiWl0bv\nsF5M1c1ERETRAoEAPB4PhBDaxKvBUFw/30KhUETLC0mSiu4YiYiIVIqiwOVyRUy8ms3mohoXcvKV\niPKNv96pweJVNhVbgAUYZImIqPFoLBOvQOzkKyuciIioWIW3lJAkCQ6HoygnNUOhEBRFibiNY1ci\nyqXi+0tIjUq8lhLFGGCB2AonAEV7rERE1HQ1lolXFSdfiYio2CVqKVGME68A20sQUf4xO0YZaUyV\nTSoGWSIiKnbhLSWKubJJxQonIiIqdoqiwO12a/vRFPvEK8DJVyLKv+IdcVBRCwaDWnK4MQRYIHaD\nOgZZIiIqJuoO6kKIRjHxCsTGVoPBUPS/B4iIqGnx+XyQZRmSJMFutxf9OFAIoa0iUhX7MRNR48cE\nMWXEZDIhFArBaDQWdWWTSggRdxBLRERULNSBaygUahQTr0D8BDEREVExsVqtEELAarUW/cQrEBtb\ndTpdozhuImrc+CueMma1Wgt9CCmLnoGVJIlBloiIio7RaGxUVUJMEBMRUbFTJ2Abi+ixK2MrEeUD\nM2TUJMQLso2hMouIiKhYCSFi+g/r9foCHQ0REVFpiJ58ZWwlonxggpiaBAZZIiKi7OISWCIiouxi\na0QiKhT+iqcmgUGWiIgouxhbiYiIsksIASFExG0sbiKifGCCmEpevCWwHMQSERE1DHskEhERZVe8\nla9sjUhE+cAEMUUIBoMxM5aNXbwlsAyyRESUL4qixMSixi7eElhWOBERUb4IIRAIBAp9GFnH1TlE\nVCj8a9PExEv+SpIEIQS8Xi/8fj9MJhNsNlvJJFEZZImIKJcSxVagbuLV7XYDAMrLy0umR6+iKFwC\nS0REOZMstiqKArfbDVmWIYSA2WzO9+HlDFfnEFGh8K9NE6LOsnq9XgghIEkSrFYrTCYTPB6PNgNb\nagM8BlkiIsqVZLE1EAjA4/EAKL3YEy+2lsrEMhERFVay2BoKheByubTbS2XiFeDqHCIqrNIarVBC\nQgi4XK6IgCOE0BLDdrsdQghYLJaSG8QyyBIRUS6kElsNBgMMBgMsFktJJVAZW4mIKBdSia1qzLHb\n7SWVII6efC21BDgRFbfSygRSXPGCbDhZluF2u+FwOEpq8ApwF1giIsqNphxbAXDzVyIiyrpUY6vd\nbockSSUXX6NjKzeoI6J84nRUiVOX59S3OY4sywgEAiW3QV30LCw3qCMiooZq6rEViB9fiYiIMpVO\nbA0Gg3k6qvyKjq0sbCKifOKv+SbA6/Vm9XGNSfQsLAewRESUDU05tgohGF+JiCjrmnJsBTh2JaLC\n4l+cJiDVyqVSrHCKt0yHiIiooZpybI3+TKW4zJeIiPKvKcdWgAliIios/sVpAlIdtJXi4I5LYImI\nKBcYW09g+yYiIsqGphxbARY3EVFhMVvWBFit1qw+rjHhLCwREeUCY+sJjK1ERJQNTTm2sn0TERUa\n/+KUOEmSYDKZ6t1d3GAwwGQyldxsLGdhiYgo2xhbGVuJiCi7GFsjYyvbNxFRvjFB3ARIkgSHw5Ew\n2BoMBjgcjpILQJyFJSKiXGmqsRVgBTEREeUGY+sJnHwlonxLPj1HJUMNtoFAAF6vF0IISJIEq9Va\nkjOwAGdhiYgot5pibAXY35+IiHKHsbUOYysR5RsTxE2IumzHZDLF3F6KOAtLRES51tRiK8AKYiIi\nyi3GVsZWIso/JoibmFIOqtEYZImIKB+aUmwVQkAIEXEb4ysREWVbU4qtAIubiKjw+IueShYTxERE\nRNkVnRxm+yYiIqKGixdfiYjyiRkzKlkMskRERNkVr78/ERERNQzHrkRUaEwQU8likCUiIsoutpcg\nIiLKPk7AElGhsQcxZSR6gAgUXxBjgpiIiBqbYo+vjK1ERNTYFHtsBTgBS0SFxwQxRQgGg/D7/bDb\n7QmDphACgUAAXq8XQghIkgSr1QqTyVRUgZaDWCIiKgaKosDr9cJsNsNgSPzTqzHEV8ZWIiIqBkII\n+P1+CCFgtVqTPq6xxVYiokLgtBRphBBwu90IBoMIBAIJH+NyueDxeLRAJoSAx+OBy+UqquDGQSwR\nERUDn88XMTiNp7HEV8ZWIiIqBqFQCF6vFz6fD6FQKO5jGnNsZXwlonxjgpg06mwqgLiDWDXAyrIc\n9/myLBd9oCUiIso3i8UCSZIgy3LcGNqY4itjKxERFQODwQCTyQSgbuwajbGViCg9TBBTBJPJBL1e\nDyEEfD6fdru6NCdRgFXJsoxAIMBAS0RE9AudTgeLxQIAEVVMQOOLr4ytRERULNTYGgwGI+IoYysR\nUfqYIKYI4VXEPp8vYjfVeDOz8aT6uFwSQjDQEhFR0TCbzdDpdFAUJaaNU2OLr+EYW4mIqFD0ej3M\nZjOA2BWwjK1EROlhgphiGI1GGI1GAJEBM9WZ1ULPwCbCQEtERIWSrI1TY4qvHMQSEVExsVqtWhun\nYDCo3c7YSkSUHiaIKS51EBsIBLSm/6kGqmIIaAyyRERUbIxGY9w2ToyvREREmZEkSWs1ET4By9hK\nRJQeJogpLr1eH9H0XwihJY3rY7FYimImloiIqJhIkgSbzQagro2TLMtpx1ciIiKKFN7Gye/3c+xK\nRJQBJogpITWoBoNB1NTUwGQywWAwJH2Oupus0+mM6bFIRETU1BkMBq2Nkxor04mv0e0piIiImrro\nNk5OpzOt2OpyubRVs0RETRUTxJSQECJieUsgEIDD4UgYaA0GAxwOh7a5ndvtjtmtnYiIqCmLjq1q\nv8T64qvdbofb7Ybf74fT6eRAloiIKEz4mFNRFCiKktLY1ePxIBQKoba2Vqs+JiJqipggphhCCPj9\nftTW1kYESL1eD0mS4HA4YLPZtAGuumTW4XBos7fqDC4HskRERHXUAWj4Chs1ttYXX3U6HaxWK3Q6\nHQeyREREvxBCaIVJKkmSoNPpUhq72mw2bWWPx+OB2+1mbCWiJin5mgtqchRFgcfj0SqaTCaTtqmO\nXq8HUBdUTSaT1qNYFR50LRYLDAYD3G63NpC12WwwmUxsuk9ERE2KEAKBQEAbvOp0OthsNgghtEEp\nUH98NRgMKC8vh8fj0V4vGAzCZrNBp+OcPxERNS2yLMPtdkNRFAB1LRLVWBo+Nk0WW3U6Hex2e0Rc\nra2thd1ur7dFBRFRKeFfPNIEg8GIGVObzQaz2Rz3sakkeTmQJSKipi7exGt4JVO0+uKrJEnaoDV8\nIJtsGS0REVEpUVe8er1eACeSvIniYCqx1Ww2RxQ4OZ1OWCwWWCwWFjgRUZPAkQRBCAGfzwefzweg\nbrmr3W7XKoYbQh3IGo3GmBnZ8KopIiKiUhM+8aouY42uYMoUB7JERNQUqXvdyLIMoP6J13To9XqU\nlZXB6/XC7/fD5/NBlmXY7XYWOBFRyeNfuSZOCAGn06klhy0WC8rKyrKSHA5nMpm01xVCcPM6IiIq\naT6fDy6XC0IIbcCZreSwSn1di8Wivac6YCYiIio1siyjtrYWsixrhUh2uz2rE6PRPYplWdYqlYmI\nShkriAk6nQ6KouS8qlcdyPp8PhgMBlY4ERFRyVIrjXJd1atuDmswGCDLMlfnEBFRyVJjq8FgyHlV\nr9FoRHl5Obxer7YBe76wkIqICoEJ4iZOnSEFkJdlM+pAloiIqJSZTKaIDV5zzWg0MjlMREQlTafT\noaysDDqdLi/FRmpv41xj4RQRFQMmiIn9lIiIiHIgX8nhfIoexLLKiYiI8qkUYysRUTFgZpBKUrwB\nLAexREREREREVMw4biWiQmCCmEoSl+kQERFlX3R8VRSlQEdCRERUGqJX9DJBTESFwAQxlSwOYomI\niLKLg1giIqLsYvsmIioGTBCXqHy0VBBCwOv1wufz5ew9gsEgAoFARs/lIJaIiLIt15ONQggEg0G4\nXK6cxS1FUeD1ejN6fQ5iiYgo2/JRyBMKheB2uyHLcs7ew+fzIRQKpf08xlYiKgZMEJegUCgEp9MJ\nj8eT0/eRZRk+nw9erzcnQV1RFLjdbrjdbng8nrQDJQMtERFlixACHo8HtbW1OR/IejyeBk2QpvL6\nPp8PTqcz7YEsYysREWVTIBBAbW1tzmKeyu/3IxAIZDxBWp9gMAiv14va2lr4/f603oP75xBRMWCC\nuIQIIeD3+1FbW4tQKARZlnMaWIxGIwwGAwDkpIpYkiRYLBYAiPhc6Tw/HIMsERFlIhQKRQz4MqkO\nSlV47MvVINZisUCn08V8rlSPLxxjKxERZUIIoRUDqatncslisUCSJMiynJMqYoPBAJPJBKBuItbt\ndqc8ocz9c4ioGDBBXCLUalu1athkMqG8vDznwcZmswGoS+Bme8CsDpLLysqg0+mgKApqa2vh8/lS\nGpByEEtERA0hhIDP59OqhnU6HcrKymA0GnP6viaTCXq9Xnv/bDMYDCgvL89oIMvYSkREDSXLckTV\nsNVq1caVuaLT6bQJ2ExWp9ZHkiTYbDbtcwSDQTidzpST0YyvRFRoTBCXgGAwiNraWm3W1W63w263\n52UmUq/XawNMr9ebk/eIHsh6vd6UBrIMskRElCl14lWNberEq7pyJpckSYLVagVQt0InFy0tJEnS\nfi8Asb8lkj0vHGMrERGlSp34dDqd2sRreXm5Vt2ba2azWSs8ykVLC0mSYDabUV5eDr1eD0VR4HQ6\nU1oRxPhKRIXGBHEjpm4Sp25ko9frIxKp+aIOYoPBYM6WBoUPZCVJSmkgyyBLRESZCI8x0fEnX4xG\no1apnKsJWOBE4lutWHa5XEkHstHfQT42FiIiosZPURQtxgCISKTmS/gEbK7aOAF1RVRlZWVaxbLP\n54PL5Uq64pbxlYgKjQniRkrdiE5deqq2YshngFWFL9fJZaAFIiu41IFsoiVCDLJERJQOdSM6deI1\negVLvqmD2EAgkNO+x/EGsok2sOPkKxERpUudeJVlWZt4tdlsBem9azQac9rGSaUmox0Oh9b72Ol0\nJqxc1ukiUzOMr0SUb0wQN0LqTq+hUAiSJMHhcMBqtRa0ub26LCgUCuV8gwGdTgeHwxGxgV28QMtB\nLBERpUpdBur3+wHUxTWHwxEzYMsnvV4Ps9kMILdVxEDsQDYUCmn7GkQ/LhrjKxERJRK+4rXQE6/A\niV7BQO7aOIUzGo0oLy+H0WjUNuaL954cuxJRoTFB3Aipg9XwYFNo+VquE/1+ZWVlMJlMcX9kRA/q\nWUFMRESJqAMzdSO6Qk+8qtTJ0Fy2cQqn/rYwmUxxNwySJIkrdIiIKGVqzFAnIQs58aoyGAx5aeOk\n0ul0sNvtsFqtsFqtcb8DxlYiKrTc77RCWafOvOp0uqIYvKpMJpM2C+v3+7VBbS4ZDIaEGwYxQUxE\nRKlSV+QAsfGjkNQ2Tj6fD16vFwaDIeexXx3IJrs/vP2EoigFaXFFRETFz2w2a20dionVakUwGEQg\nEIDZbM75JrSSJCUdH0d/Pxy7ElG+Fc8IiNKi1+uLKjkMRC7XCQQCBV8WE6+PU6GPiYiIipdOpyuq\n5LAqvI1TLnsRp4oTsERElCpJkoouOQxEtnFK1Bc4nxhbiajQWEFMWWUwGGC322E0GguewFaXwYYn\nhVnlREREjY26oY9OpyuKGKbX6yPaXXAQS0REjZHFYoloN1FITBATUaEVX5kMNWqSJMFkMhU8Oazi\nUh0iIioFxbQ8l4NYIiIqBTqdrmjGrvFiK1e/ElE+MUFMJY2DWCIiouxibCUiIsqueJvAMkFMRPnE\nBHERYQDIvuhBbDH0RiYiovxh//nsi46txdIbmYiI8oexNfui46vP5+P3TER5wwRxERBCwOfzoaam\nhgOsLIsOsrIso7a2FrIsF+iIiIgoX9S/+X6/v9CHUlLibQKrfs8cyBIRlTYhBNxuN5xOJ//mZ1l0\nfPX7/XC73VypQ0R5wQRxgSmKArfbDa/XCyFExKYv1HDxdqNXFAVOp5MzskREJUqdeHU6nVAUhatH\nsizeMlgA8Hg8HMgSEZUwdeI1EAhw9UgOxBu7BoNB1NbWMk9ARDlnKPQBNGXBYBButxtCCEiSBJvN\nBpPJVOjDKik6nU7bOO//s3enobLt6X3ff2uuVdPp21Ifg3z7vtILua8GUMdypNuxBqKORDxgCLKN\nwVYQfheClEAGE0dyDImSEDkQHAeDwCYxHkJibBQspI4Sq9VKFHVMNNyO3qpvCyn3Sn3u2TWsWuM/\nL/b9r65h1d41rBrX9wObc0/t2vvU3VV7PfU8////eYIgkO/7KstSWZZpsVgoz/N6MjwA4PbZhVd7\nUiQMQ/X7/asYQHNPXNddKQxEUaQsy+pEdjAYXMVUeADA8YwxStNUSZJIehwEPhgMrmZ46r1Yz0mD\nIFBVVSrLUtPpVL1eT71ej/c0AE7COWRHjeM4RqLv0KGMMUqSpD7ySoA9HWOMyrLUl7/8ZX3pS19S\nmqaKokif+tSn9NZbbylJEpVlSSIL4En2jbgx5qTvyImvx2Hh9Xym0+nKbqZ+vy/f9zWbzerCMYks\ngKcQW2/D+sJrFEWK45hr+wlkWabZbFb/3fd9DYdDLRYLLRYLSdQOADzv0PhKgfjMyrIkeTqjoij0\nS7/0S/rggw82PveJT3xC77zzjhaLhYqi4M0OgK1IYq/b+sKr7/ucDjmxJEnqZFV6LBj0+/26vQeJ\nLIDnEFuvHwuv51WWpR4eHuq/O46jj33sY5JWnwtJGgwGPBcAGh0aX8mczihNUz08PKgsS7muq9Fo\nREHyhMqy3FoclqQPPvhAv/zLv1w/B2maajKZ0EsLAG5IWZaaTCZ1cbjX62k4HFIcPrH1gq+NnY7j\nKI5jDYdDOY5TJ7sMCgSA22GM0Xw+13Q6lTFGvu9rPB5TkDyxpiGwtq9/EAQaj8f1qdfZbLZSMAaA\nY5E9nYGd9DqfzyU9XtxHo5F8v1stoG3vpHMUYG1biW3FYev999/Xe++9V+80s4+RQAsA1y/Lss4v\nvNrd08u7ec9hW4HYWk9k5/N5fTwZAHC91hde7aJflxZejTHKsuzseaHjOE/GV9d1NRgM1O/3JT2+\nD7J9oQHgWN25yl+YDSz9fr+zx17tULhzBDFjjN59992d7vvuu+/KcZx6VXwwGHSquAAAty4MQ43H\n484tvEqPrZQWi4WSJKl3GZ3DU7uclu9jE9koijr5/ADArXEcR8aYeuG1q+0QkyRRnufKsuys/+5z\nC7CO4yiKonoRttfrnfPhAbhjvFM/A9uvyRjT6R58cRzXE86Lojhpouh53s7HWdM0led5chxHg8Hg\nZI8JANCuMAzlum6nC49BEMj3/bpQbHcVnZrd5bScuNqd3Ov3i6LoLI8JAHA813XrHcNdLAxLj7Gr\n1+tpPp8rSRKFYXi2n8VzBeLl+w2Hw3M8JAAd0b1trBfium6ni8PS48/ArnDO5/OTHtcpy3LnhDSK\nIvoOA8CN6nJx2LJF4TRNzxrPdk1iAQC3xW6e6bIwDOV5Xj189VyIrQAuhQIxzsoeUSrLUnmen+zf\ncRxHb7/99k73ffvttzv/BggAcLs8z6sHB52zFyFJLADgXtmhq9Jjq8RztXFqiq3MxwFwDhSIcVb2\nuI70mMSeKth5nqe33npLn/jEJ56838uXL/XJT36y87u7AQC3zSaxeZ6fdAF2GQViAMA9C4KgHrZ6\nrgXYptYe55wxAKC7KBDj7KIokuu6qqpq5z7Bh/A8T5/5zGf08uXLxs+/fPlS77zzDseTAQA3b7mN\n0ykXYJexywkAcO/sAmyWZWdbCGUBFsAlUCA+gjGGROgA5zyu4/u+3nnnHX36059WHMdyXVdxHOvb\nv/3bjy4O22F7AIB2EVsPc642TtYpdjnZxWNeAwDQLq6rh/E8r55tc65dxKcoEKdpyk5kAE9i6+SB\nqqrSfD6X4zgaDAYn/bdsIdoG9eW/P3WbpI3EranXruM4z3607ZxT133f1zd8wzfoG77hGxSGobIs\n01e+8pWj/r+qqtJsNpMxRnEcK4oi+hgDwJGMMUrTVGmaajQayXVPu469Hjt3ibXWc/HV/t3GUVtM\nXY6rbccNuwBrp64HQXDy2OR53spiaVmWB7dtMsZoPp/XbTL6/f7JXwMA0AVFUWg2mymO47pn/ans\nE1P3zV3XY+u5ctder6c0Tev4ZNtOnErbBeIsy1ZqF6d+/ABuEwXiA+R5XhcHHcdRVVVHJTDGGFVV\n9eTHpTUlt67rbnzsGpBtEjuZTJSmqaIoOmkf4CiK9DM/8zMrE2jH4/HW9hPPcRxHYRgqTVMlSaI8\nzzUYDEhkAeBAduHNFhvzPK937BzCJp1PxdZL76ZaT2jX4+nyf+8aX8MwrE/npGlat504lfUCcVEU\nBxcfbGwtikJ5nuvh4YFEFgCOYBde7c7XNE2PXjy89ty1qWDclLPuk7vaNk6LxUJJksj3/ZMuwK7n\nxUVR1LWHQ7+f53kqy1LT6VS9Xq8+dQQAFgXiPRhjlCRJ3TfX9/29ioI2mBZFobIs649LJ6i7MMbs\ntHL5VPHY87yVJNf3/XpHb57nJy0QO46jN954Q7/7u79b3/bBBx8cVSDu9/vyfV/z+VxFUZDIAsCB\n1hde+/3+XkXGpth66QR1F/u0qtpWPPY8byXJtT+/6XSqLMtOfsLF9/2VeQLHtl4Kw1C+79eLBdPp\nVFEUKY5jElkA2MP6wuu+11Kb/y3H12tYXH3OPrF1W966/GHZXcT2Z3HKOTbrebGtIxyaL3uep9Fo\npMViUX/YDU4MawdgUSDeUVmWms1mdZH0uVU3exFfDqpd6Fe7vGNrG5vM2pVM26Lh1D7+8Y+vFIj/\n4A/+4OjvSSILAIc7ZOG1KbZee7LahmgJPWcAACAASURBVOd2Za0XjKMoOktsXU+Q7cL3MTHQdV0N\nh8M6iU3TVEVRkMgCwI5sSwF7PX5uE4stBq8XhO/d8v93E8dxVnLXKIrk+/7JY5HjOHU7RqsoiqP+\nXXuC1+auZVnq4eFB/X7/LO8XAFw/55CkynEcI3Wj0b0xpg6w0mPSMhgMNhIiG1zs4LJTFIO39Vd6\nqu/S+nPU9Jxt68F47iF86wHY/vc+x3+e8vu///v68MMP9eabb9Y7l33fb2X1d/34lud5JLLAHbHX\nIGPMSVd+uhRf1xdet/VzX46tp9gZvEtcXb5N2h5Lm/5uF00vFVulzYXZ5VM9bXj9+vXK8zIcDls7\nTWP7Ztrvb3eXswgL3D5ia/t2XXg1xtT9dE9RDN4lVz0kd93W0/gSO5uXF2XXY2sbMSpJkpX2iGEY\ntjb7yM5TsgNtwzBUv98ntgJ34tD4SoH4CesXziAINBgMVhJEG1jzPD/q5/Hc8ZZTNdx/zrai8XoP\nx1P3m1oPvL7v7104LopCv/d7v6ev+9gbqlxXnusqDANlWa7KGPXj4/s0ksgC94kktj3PLbwuL7hm\nWXZ0bNnW8ujSsdX+uZ7cnrOX4/rCrN0Vte/PZDabyXEcRZJcz5WCUMozVWUltTBjwBij2Wy29f0Y\ngNtEbG2X7S9r48b6wmtVVXVsPXYz03NtGS51fd6WtzbF11O+HtYXZG3uuo88z5UkiTzfl+d6dd5a\nVqUGLQx433UjHIDbQ4G4ZdsKfTaw2t1M+7LJmE3C1nsH3rKnisenOqa0/HN8qmhcFIVevXqlj33s\nYyqrSj//+f9Ljhx916e/RePRUIs0leu6rRSJ7RT2LMskSYPB4OTTggGcFklsO9YLfXbHiqSjF1y3\nxdZ7ia/bBgGdYpaB67r1z3KXonFZlnKLXPP/7ec0+0d/V9WrV3LfeEODH/pL6n/vZ1X5QStF4uVE\nNggCDYfDo74ngMsitrYnTdONQp8dSra8U3hf6wuIbe6QvbSnisenOrHUlLs+9fjSLNc/+4Uv6Kf/\nwT/VV1896ONvjPUjf+5P6Qe/7x31onbyy/UTXS9evGDwOnDjKBC3rCgKTSYTeZ6nXq9XB9d9Aut6\nMdhOO72HgHoIW0C2AXf9z7asB15jjF69eqUXH/uYyqLUf/c//M/6i//Gv65f+MKv6u/+j/9LHWx/\n+If+pP7Ev/qZ1oJtlmXKsoxdTsAdIIlthzFGk8lEZVnWheFDdjItX+OXE9au2hZb21yY3VY0LstS\nTp7pw7/+Hyj79X+x8XXht367PvZXf1ImCFtpu1SWpebzufr9Pm2cgBtHbG3PYrFQkiQKw1BBEBy0\n4NpUDO5yoXC5cLweW9t6LTUVjW29IFmk+nf+2t/QF3/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yK8PzgWPZ3bjru4hvvUBsjKmH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"text": [ "" ] } ], "prompt_number": 19 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The plots above shows how the algorithm recursively converges to the intersections. \n", "\n", "**The algorithm always converges to the intersections between two curves, if there are any;** also note that the algorithm manages to narrow down on the actual intersection point quite rapidly, and **the speed at which it narrows it down accelerates as we are closer to the actual intersection point.**\n", "\n", "In other words, the algorithm is globally convergent; and on average bezier clipping algorithm converges quadratically. We will examine these properties of the algorithm later in detail." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "1.4 The clipping process in detail [TOP] " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we look closely at one of the clipping steps, the clipping is not really exact. In the plot below, **Curve B** is being clipped by the fatline of **Curve A**, and parts of **curve B** extends quite a bit from both sides of the fatline. If we clip enough curves, we can determine that the algorithm always underestimates the possible clip. This has one advantage that we always leave some room for error, and we will not miss the intersection point because of loss of precision doing arithmetic on small IEEE floating point numbers." ] }, { "cell_type": "code", "collapsed": false, "input": [ "curve1 = np.array([-50., 0., -25., 20., 25., -20., 50., 0.])\n", "curve2 = np.array([10., -40., -5., -25., -30., 25., 0., 50.])\n", "fatDist1 = getFatline(curve1)\n", "fig = plt.figure(figsize=(5, 5))\n", "ax = fig.add_axes([0., 0., 1., 1.])\n", "ax.get_xaxis().set_visible(False)\n", "ax.get_yaxis().set_visible(False)\n", "locs = bezutil.getCrossings(curve1, curve2, steps=0, size=30, fig=fig, subplots=[ax])\n", "ax.legend();\n", "ax.set_title('Detail of fatline clipping');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": { "png": { "height": 389, "width": 374 } }, "output_type": "display_data", "png": 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kCMP5GqO6L8AQYIstlirg+B7pitHhsBijUE+OtNYaI0c9wCtKqZ4qQ+Mi/n/sPlBKrbB9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\nw5OISI/YsBOlCcOT0s9YXgGx5gCw7FJvl/2ti0Ds0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"text": [ "" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's consider the plot above, Curve **$A$**'s fatline is clipping Curve **$B$**. Fatline is a much simpler representation than the actual bezier curve. It is just two parallel lines at $(d_{min},\\ d_{max})$ from the baseline ${\\bf L}~of~curve~{\\bf A}$. And we need a simpler representation for curve $\\bf B$ as well.\n", "\n", "For $B$, we would apply a *simple* transformation into something called a **non-parametric** bezier curve." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Function to transform a curve into a non-parametric curve\n", "# The non-parametric version of the curve has:\n", "# 1. it's control vertices evenly spaced in [0, 1] along the x axis\n", "# 2. The distance of the control vertices from a given fatline along the yaxis\n", "# this method also return the associated details of the non-parametric curve such as,\n", "# the convex-hull of the control points, and the corresponding tMin and tMax\n", "def nonParamCurveDetails(curve, L, fatdist):\n", " # Distances of control points from the fatline base L\n", " dp0 = bezutil.getSignedDistance(L[0], L[1], L[2], L[3], curve[0], curve[1])\n", " dp1 = bezutil.getSignedDistance(L[0], L[1], L[2], L[3], curve[2], curve[3])\n", " dp2 = bezutil.getSignedDistance(L[0], L[1], L[2], L[3], curve[4], curve[5])\n", " dp3 = bezutil.getSignedDistance(L[0], L[1], L[2], L[3], curve[6], curve[7])\n", " # note that the parameter values 't' are equally spaced in [0, 1]\n", " # Calculate the convexhull for the non-parametric bezier curve.\n", " # The algorithm used is an optimized (since we don't have to take care of\n", " # general cases)version of Andrew's Monotone chain algorithm\n", " top, bottom = bezutil.getConvexHull(dp0, dp1, dp2, dp3)\n", " # Now we convex-hull at dMin and dMax\n", " dMin, dMax = fatdist\n", " tMinClip = bezutil.clipConvexHull(top, bottom, dMin, dMax);\n", " top.reverse();\n", " bottom.reverse();\n", " tMaxClip = bezutil.clipConvexHull(top, bottom, dMin, dMax);\n", " # done\n", " # merge both convexhulls into a polygon for plotting\n", " bottom.reverse()\n", " top.extend(bottom)\n", "# top.append(top[0])\n", " return (np.array([0., dp0, 1./3., dp1, 2./3., dp2, 1., dp3]),\n", " np.array(top).reshape(-1), (tMinClip, tMaxClip,),)\n", "\n", "# setup the plot\n", "curve1 = np.array([-50., 0., -25., 30., 25., -20., 50., 0.])\n", "curve2 = np.array([10., -40., -5., -30., -30., 35., 0., 50.])\n", "gs = plt.GridSpec(1, 2)\n", "\n", "@interact(rotation=(0.0, 2*np.pi))\n", "def drawNonParamCurveI(rotation = 0):\n", " fig = plt.figure(figsize=(12, 6))\n", " # Calculate the non-parametric curve for A\n", " curve1r = bezutil.rotate(curve1, rotation)\n", " fatDist = getFatline(curve1r)\n", " L = curve1r[np.array([0, 1, 6, 7])]\n", " nonParamB, chull, tclips = nonParamCurveDetails(curve2, L, fatdist=fatDist)\n", " # call the visualisation proxy. Not included here, \n", " # just because it is quite long and has more matplotlib stuff than bezier clipping!\n", " bezutil.drawNonParamCurveI(fig, gs, curve1r, curve2, fatDist, nonParamB, chull, tclips)\n", " tMin, tMax = tclips\n", " print str.format('Part of curve B, where ({:3.2f} < t < {:3.2f}) are within the fatline.', tMin, tMax);\n", " print str.format('tDiff after clipping = {:3.2f}', tMax - tMin);" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Part of curve B, where (0.28 < t < 0.69) are within the fatline.\n", "tDiff after clipping = 0.42\n" ] }, { "metadata": { "png": { "height": 417, "width": 856 } }, "output_type": "display_data", "png": 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IETeqznEU1CHr2/djfdufQLpfJhHlvLVa1P1nEqHLVSUYY5Lwv+U93Fo7NRIPO8S6naCI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\nzJjB1q1bAXj22WcZO3YsU6ZM4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BNOOMHlRCIi7eOzvVFKQw5V4QSDcn14UnyNpng8ztJX\nXgHgS7Nnd8oUgtZannz0UXaUlSW1z7rgAiZPndrh509lTtyyo8ahf66PE/ID5KenfgFVRFqnApaI\ndHsZAT8TBvUhlkjw0uqNbsdpF8Nzkt+gRX2ZLiURERERkUN5//33iUajAJx55pkupxERaR9lIYdt\nVVF21joMyPGR1g2mbVvzwQfsraigoKiISVOmdMo5X1uyhDUffJDUNn7SJGbPmdMp509VCWsprXYo\nSPcyMMfH4Fyf25FEpIOpgCUiPcIlU8cAsGjVJ91iYfDhuX6wieZt68+kJhI7zBEiIiIi0pm0/pWI\ndDeVDTE+q4xQEnLol+UjvRtM25ZIJHj95ZcBOOfcc/F6vUc44vh9tHo1L734YlJbv+Jirrz22k4Z\n/ZXKdtfG8Hmhf46PUYUBTIqP/hORI9Ozooj0CNOGD6QoO5OyyhCrt+50O85xC6R58ETqkto+q3Jc\nSiMiIiLS89TX1/OnP/2JM888k4KCArKzs/nSl77Eu+++C2j9KxHpXuqiCdaXhympitIr6CUn0PGF\nns6w/uOP2bVjB7l5eZw0bVqHn29HWRmPP/xwUltGZiZzv/MdAkEtDXA4VeE4dU6CATk+xhQF8HlV\nvBLpCVTAEpEeIc3rYc6UUQAsWrXB5TTtIxBLLmBtqtEILBEREZHO8MYbbzB69Gh+/OMfM2PGDN5/\n/302b97MpZdeyuzZs/n73//OypUrAejXrx/Dhw93ObGIyLFz4pb1FWFKQzF8Xg9Fmd1jzSFrLa+/\n9BIAZ82aRZqvY6ejq62p4cF77iEaiTS3eTwerr3hBgoKCzv03KkuHEuwu9ZhYI6PUQUBsrtJAVVE\njqx7vOKIiLTBRSeO5uFlH7Bswxaq6sLkZab23U2ZNkJDi+2SukSrfUVERESkfbz44otceumlxONx\nHn/8cS6//PLmfd/73veor6/n61//OqFQCND6VyKS2hJ2f/EqSiRuGZLXfdYc+uzTTynZupXMrCym\nzZjRoeeKxWI8fP/97KusTGr/6uWXM3zkyA49d6qLJyylIYe+2T4G5fnpm919/gZF5Mg0AktEeow+\neVlMGzEQJ57gpTUb3Y5z3PJMNGl7Z1jD50VEREQ60pIlS7j00ktxHIdbb701qXi1349+9CPi8Xjz\ntqYPFJFUtqkySlnIobIhwcAcH55utObQ/rWvzjj7bAKBQIedx1rLc089xebPP09qP+2MMzjtjDM6\n7LzdxfYah6yAh/7ZPobn+92OIyKdTAUsEelRLpk6BoAXVm3AWutymuNT5IsnbVfENIReREREpKOU\nl5dz1VVX4TgO48aN45e//OUh+/l8PiZNmgRo/SsRSW3bqx227ouyo6Zx6rbutObQti1b+PzTTwkG\ng8zo4JGyK5Yv55233kpqO2HECL5y2WUdet7uYE9djLi1DMzxMbYogNfTff4GRaRtVMASkR7l1BGD\nKMzOoGRviDXbdrkd57gMSE/erkzoTiQRERGRjnLLLbdQVVUFwM9+9jO83kPfPBSPx1mzZg0Affv2\nZcSIEZ2WUUSkvexriPPZ3gglIYe+WT7Sfd3rEuLO7dtJS0tjxplnkp6R0WHn+ezTT1n49NNJbfkF\nBVxzww2tvo5Io9pogsqGOANyfIwqDBDsZn+DItI2WgNLRHqUNK+HOSeO5uHlH7Bo1QYmD+nndqRj\nNiovDVpMn13ryQSirfYXERERkWPz9ttv89hjjwGQk5PDZYe5a/7DDz+kuroa0PpXIpKa6p0E6yvC\nbAtFyQl4yQ12v0LL9NNPZ+yECaSlddyl0T0VFTzywAMkEgfWqw4EAnz7u98lKyurw87bHThxy44a\nh/65Pk7ID1CQoUvYIj2VStci0uNcNGUUBli9dSdOLH7E/l3VlKJg0nYsmEODk7r/HhEREZGu6q67\n7mr++cILLzzsWilvvPFG88+aPlBEUk0sbllfHqY05JBmDH2yum/hICc3l4zMzA557HBDAw/ecw/1\ndXXNbcYYrpw7l37FxR1yzu4iYS2l1Q756R4G5vgYnOtzO5KIuKj7vgqJiLSib142f7j2IsYP7IMv\nLXXvJCvK8GEitdhA051bHi9rKsJML+6YN+AiIiJy7IwxQWAaUAwc9kqMtfaRTgklbVJfX8+iRYua\nt+fMmXPY/vsLWFr/SkRSjbWWDXsilFY7NDgJhvbSNPXHIpFI8Nj8+ezeuTOp/fyLL2b8xIkupUod\nu2tj+LwwIMfPqMIAxmjdK5GeTAUsEemRpgztHnc8ZTo11AYOTD3w0T6H6d3jnyYiItJtGGNmAQuA\ngjZ0t4AKWF3Iu+++SzgcBhqLUuecc06rfePxOG+99RYAffr0YeTIkZ2SUUSkPWzaF6U05LC3Ps7Q\nPD8eFQ6OyUsvvMD6jz5Kapt80kl8afZslxKljlA4Tp2T4IR8P2OKAvi8+hsU6elUwBIRSWEFpoHa\nFtuf1VjXsoiIiEir/pvG4tWbwCqg+jB99WLexaxfv77558GDB9OvX+trqGr9KxFJVTtrHLbsi7K9\nOsrAXL8KB8fog/ff5/WXX05qGzBoEN/41rc0kugIwrEEu2odhuT5GVkQIDuQujPmiEj7UQFLRCSF\nDfDH2NZie3tUc0OLiIh0QX2ApdbaWW4HkaNXVVXV/PPkyZMP27e19a/27dvH/fffz09/+tP2jici\nctyqwnE27olQEnLok+Ujw+dxO1JKKi0p4cm//jWpLTsnh7nz5uH3azrGw4knLKUhh77ZPgbl+emX\nrWsbItJIBSwRkRQ2MhtWhA9s7yXdvTAiIiLSmr8Clxlj0q21DW6HkaOTmXlgfdFhw4Ydtm9r618t\nWbKERx99VAUsEelywk6C9eVhtoWi5Pg95AU16uVY1FRX89A99xBznOY2b1oa1914I3m9ermYrGup\nS9Tzt+olrImso87jkJnwMSkwjsnMIjuQQXG2j+H5KvaJyAEqYImIpLCJ+X7YcWC73p8D1LmWR0RE\nRA7pB0AU+MAY8wug8nCdrbXLOyWVtMmECROafw4Gg632Ky0tZdmyZUDj+lejRo1q3rd06VLmzJnT\ncSFFRI5BLGFZVxGmNOTgwdA7U5cJj0U8HueRBx4g1GLELsBlV17JkCPc+NCTbHQ283DlX5m5tpw/\nLyshr9ahKsvHE2eW89CEj7m+8GrGFY3D69FUiyJygF6ZRERS2ITCAJTFwdN4l5wNZLGrtpK+WQGX\nk4mIiEgLc4CrgXzgf4/Q1wK6/b0LmTlzJoWFhezZs4eSkpJD9qmrq+OrX/0qdXWNNxK1LHo5jsPC\nhQtZsmRJp+QVEWkLay2f7olQGnKocxIMzfNrjaZjtPCZZ9j8+edJbWeccw4nT5/uUqKuZ6Ozmfl7\nH+HXj69j8paa5vbeoSg/XPQ5Z3y0m99e9Qjj+9zIKb4RLiYVka5Gk9qKiKSwgNeDL5K8DvyqiohL\naURERKQVf6axePUE8GPg24f5ut6ljNIKv9/Pr371KwAWL15MJJL8XquyspJZs2YxePBgTj31VAC8\n3gM1yIULF9KvXz9OOumk5rY777yTmTNnMmnSJBYtWgQ0Xkx+4IEHmDVrFmeccQbjxo3j5ptvbi6K\n1dXVcfvttzN9+nROO+00Jk2axF/+8pc2/RsWLlzIOeecw5QpUzjxxBO56667SCQSPPvss+zZs+eQ\nxziOwx133MHpp5/OySefzJw5c9i0aRMATz75JKeeeipnn302V199dauPISJd15Yqh5Iqhz11cQbl\n+jXq5Ri9u2IFK5pG3+43fNQoLvrqV11K1PXUJep5uPKvBxWvWpq8pYZfPLaOn33yF0IxzSojIgeo\ngCUikuJy4slv7tZXxVxKIiIiIq3IBV6x1l5prb3LWjv/cF9uh5WD/fCHP+Tyyy+nsrKSf/qnf6K0\ntJQdO3bwl7/8hRNPPJGpU6fy9NNPc/vtt5OWlsY777zDhg0bePvtt7n55pv59a9/3fxYL7/8Mnv2\n7OHNN99k5syZXHbZZaxbt45LL72UhoYGFi9ezPLly3nqqaf4wx/+wA033EBZWRlz5sxh5MiRvPPO\nO6xcuZKbbrqJG264geeff77V3NZavvvd73LFFVfwwx/+kA8++IB//OMfLF++nDlz5nDZZZdx//33\nH3Sc4zh85StfYeDAgbz11lu8//77FBUVceaZZ7JgwQKee+453nrrLX7961/z6quvcsstt3TI711E\nOsauWofNlRG210Tpn+PD7+2+xatIJMIrixdTW3Powsnx2LZlC88++WRSW6/8fK6+/vqkGxl6ur9V\nL2Hm2vJWi1f7nbilhtPWlvOnrQs7KZmIpAJjrXU7Q49jjLHQ+GHCTeH3Vrh6fhFpH/NW1rI+/YTm\n7Qn1n/LfM/JcTCQiIgLBU2a4ev790yBZa12/KmeM+R/gm8Bwa62GqrRi/+eknRed7naUQ7LW8teS\n3TxWsovPausJej2c3CuHG4f157SC3OZ+b+2p4j83lvBxqI4cn5fvDOvPjcP6N++/5r113DnuBAZn\nBvnVx5t4aOtO+gUD/OfE4Zzdu1fSOSe9+i718QQTcjK5c/wwxuVkNe/7vLaeM974gK/1L+JPJ47i\nUH798SYe3LqT300awRUD+zS3lzWEOeX1f2CAR04ey5f65Ccd9++fbGNQRoArB/Vtblu4o4LvfvAp\n+X4f75wzlay0NM5d/iHrqusOm0FERHq2b/zLZP54/3p6h6JH7Fue6+cHN4zlyf9c3QnJRHqmfi++\nBXSNz0ltoTWwRERaiDgxAr7Uemockp5gfYvtXTG/a1lERETkkH4N9AfWGWN+C+w7XGdr7SOdkkqO\nijGGqwf35erBfQ/b7/TCPE4vPPTNROF4gt0Rh8GZQQA21tQD8NX+hQcVrwDqYgnq43EuHdA7qXgF\nUBuLA1DT9P2LXi+v5MGtOzkxLzupeAXQJ+DH7zHELZySn5O0L+TEWLG3ip+PnpTUXh5uvPA4p18B\nWWmN75e/XFxEv6Cfn40afMgMIiIiNele8mqdNvXNq3WoSdfoNRE5ILWu0oqIdJCK6jp++/wbVNY2\nMP+7l6bU4rWjc70sDh3YDnkyaVz/XURERLqIihY///4IfS3QowtYfV940+0IHaakpIQbX3iBvjfd\nhOM4fNirF2k+H7/9YD05OcmFpM2bN1P/t+EMGTqUW9Z8dtBj7X74YVgxl9Hf+BZ977oraV88HufW\nUaPAGH7w+7vpe911SfvffvttoktmcOKJJzLipbeT9pX94x/8dMsW+l52WVL7Z9dcAxu2ctF/3N28\n7zfH+osQkU4XT1hW7wqzqTJCJGYZlOtLqc+9x+KdFSt4+rHH6FtczC2//CUeT/uspPL044/zzltv\nJbWdfe65WveqFZm776Aqy9emEVhVWT5yTKBbvxcQcV2KPfergCUiAuRlBNm0u5J9dQ2sKytn/Bfu\nUu3KphT5oUUBKxrMJRavJM2rZQ5FRES6iDuOoq/uQunGBg0axE033QTAqlWrqK+v55RTTjmoeAXw\n5puNF+/OPPPMQz7W0qVLW93/2muvsXnzZrxeL5dccslRPfZJJ53ESSeddFD7G2+8gTGGM844o7V/\nnoh0YZ/ujbA9FKU2kmBoL3+3L17F43GWvvIKAF+aPbvdildvv/nmQcWrkWPGcOGXv9wuj98dTQqM\n44kzy/nhos+P2PfJswdzbq/JnZBKRFKFClgiIoAvzcuFk0fy2Io1LFq1IaUKWIOyfBCLQFqgsSEt\nwIa9DUzoneluMBEREQHAWnub2xmk61m2bBnQeoHqcPsdx+GFF14gGAxy3nnnHbT/mWeeAWDq1Knk\n5+cftH/58uUAbS5Gbdq0ibKyMkaMGEGfPqnzPllEGm3dF6WkymF3XYwheX68nu5dvAJY++GH7K2o\noKCwkElTprTLY27+/HOee+qppLaCwkKu/va3261A1h3NybmA305cxxkf7WbylppW+304NJuVE3uz\ncIiKgSJygJ5dRUSaXDRlNABLP95ETUPE5TRtZwykR6qT2tbsPfLQfBERERFxz/4CVWtFpGXLlrU6\n4um1116jqqqK2bNnk5WVddD+DRs2ADB9+vSD9iUSCVasWIHH42lzAevvf/87ADNnzmxTfxHpOsrr\nYmzaF6Es5NA/x0cgrftfCkwkErz+0ksAnHPeeXi9x7+mUtW+fTzywAPE4wfWHfQHAsydN4+MTN08\nejiZngy+kvFN7vzmWD4cmn3IPh8OzebfrxrH/x19PTlpGZ2cUES6su7/qiUi0kYDCnKZOrQ/kVic\nVz868tD2riSf+qTtT2sSLiURERGR1hhjCowxdxpj1hhjqo0xNU0/32mMKXA7n3SeeDzOihUr8Hq9\nhywKlZWVsWXLFoqLixk2bNhB+x95pHGZtKuvvhqAaDTKT37yk+b95eXlAEycOPGgY9euXUsoFGLM\nmDHNo7N++ctfYm3rs1e+8cYbwKELWL/4xS9aPU5E3FUTifNJRZiSKofCTC9Z/uMv5KSCDR9/zM4d\nO8jNy+OkadOO+/Ecx2H+ffdRU5184+g3r7mGfv37H/fjd3d10QS5kUFcnX8N//dbE/ivS4ZQnusn\n6jWU5/r541dG8P+unsh/jL2RU7JHuB1XRLoYFbBERFq4ZGrjKKyF/9hw2A/xXU2xz0naLg1rhlgR\nEZGuxBhzCrAB+BUwAcgCMpt+/hWwvqmP9ACrV6+mpqaGCRMmHHL9q8ONzgqHwyxcuJD8/Hwuvvhi\noHGEVMtRAfun+evdu/dBx7/StCbM/seORCKsWLGieT2cp556irPPPrt5ja1EIsHSpUsxxnDKKcl/\nouvWraOkpOTo/vEi0ikisQTrKyKUhBzSfR7y03vGZ0RrLa81jb46a9Ys0ny+4368ZxcsoHTbtqT2\nWeefz8QTTzyux+4JnLhle03j6L/ze49m4ZR/4+8TCrj++xO45FdTuf77E8g4cxbPn/ivKl6JyCGp\ngCUi0sLM0UPIywiyubyS9dsr3I7TZsO/MHNMuU13J4iIiIgcxBiTCTwJFAJ/A2YDg4FBTT+/CBQB\nTxhjNG9OD9DW9a8OVcBav3494XCYCy+8EF/Thdk//vGPzJs3r7nPnDlzgAMjsfZbvXo1d955JwDj\nx48H4NVXX21eR6uuro5rr72WZcuWsXjxYgAWL17M7t27ASgsLGx+LGstt9xyS9LILxHpGuIJ21S8\nipKw0C+rZxSvAD7fuJGSrVvJyMxk2owZx/14K5Yt4/133klqGzN+PLMvuui4H7u7S1hLWbVDfrqH\nAbk+Buf5yE3LxPF5iPo8WI8h6vPwq+FXkpumaRhF5NBUwBIRacGX5uWCySMBeGHVBpfTtN3k/OSp\nIGoDvVxKIiIiIofwcxoLVr+11l5srX3VWltqrS1r+vkS4DfAkKa+0s0tX74caL2AtXz5cowxh9w/\nZMgQMjIymotJ8+fPZ+TIkYwaNaq5z0033cSQIUN46KGHmkdmLVmyhJtuuokHHngAgIaGBqy13HPP\nPcydOxdoLEoZY5g+fTo333wzJSUl3HHHHTz55JN4PB6WLFnSfOy8efO46KKLmDx5cjv9VkSkvWzc\nG6E05FAdTjAgx9c8wrIn2L/21RnnnEMgEDiux/p840YWPvNMUltR795cdd11eDy6pHok5XUxvB7o\nn+NndGGgR/0dikj70bOtiMgXXDSlcRrB1z/eRG046nKatplaFIT4gWkEbSCLstqYi4lERESkhXOA\ncuDWw/S5Hdjd1Fe6uYyMDCZOnMi5557b6v4LLriA0aNHH7QvPz+fBQsW8PLLL3PqqafywQcf8B//\n8R9JfbKzs1m6dCn5+fmMGzeO0047jVdeeYWXX36Zb3zjG/zpT3/ivvvuY9q0aVx88cUUFxcDkJWV\nxaJFi/D5fFxxxRXccMMNzJ8/n69//es8//zz3H333cyYMYPzzz+fc889l+9///vt/8sRkeNSEoqy\nLeSwu85hUK6PNE/PKRpYa5k0dSrFAwZweis3CLTVvspKHnngARKJA+tLB4JB5s6bR3qGBksfSSgc\npyaaYGCujzFFAXzenvN3KCLty6TSGi/dhTHGAq6vrxN+b4Wr5xfpyn40/0U+2LqDm+eczldPHut2\nnDb50nKIZvdp3v5+9ia+8cW5BUVERDpJ8JTjn7bneOy/y9da6/oVE2NMFfCWtfaw8w0ZY/4GzLDW\n5nVOsq6lq3xOEhFJVXvqYqzZ3cCWSod+2WlkB7xHPqgb2j+a9FhFo1H+9F//xfbS0qT2ud/5DuMn\nTjzeeN1eOJZgWyjK4Fw/4/sEKc5OXods0qqbk7bXTP1dZ8YT6fG60uekttAILBGRQ7h4auPdrov+\nsSFlLqIUJGqStldXpUZuERGRHmAv0OeIvRrXwdrbwVlERKQbqo3E2VARpqTKoSDD22OLV8BxFa+s\ntTz92GMHFa/OmzNHxas2iCcsZSGHPpk+Buf5DypeiYgcLRWwREQlEqiAAAAgAElEQVQO4YwxQ7ls\n2nh+/uUzU2ae5hOCTtL25rDeKIqIiHQRa4BJxphxrXVo2jcZWN1pqUREpFuIxi3rKiKUVDsE0zwU\nZKS5HSllLV+6lA/efz+pbdzEiZx7wQUuJUotO2ocMv0e+uf4GJ7vdzuOiHQDKmCJiByCP83LDy84\njVHFhW5HabPJvZILbXtMtktJRERE5AvuAtKA54wxJ39xpzHmJOB/m/rc3cnZREQkhSWsZX15mNJQ\nlFgc+mWreHWsNn7yCS/87/8mtfXp25crr70Wj0eXUI9kT32MWMIyINfH2KIA3h60/pqIdBw9+4qI\ndBMz+yUvJBtNz6MmGncpjYiIiOxnrV0G3AsMB94xxqw0xvyl6Wsl8B4wArinqa+IiEibfLY3Slm1\nQ1U4wcBcH54UmUGkq9m7Zw+P/uUvSUsIBNPTmTtvHsH0dBeTpYa6aILK+jgDcn2MKgyQ7tMlZxFp\nH7otQ0SkmyjOCeBtqCKe3rTuu/GwcmcDswdnuRtMREREAL4P7AZ+Ckxv+tovDPw/4A4XcomISIoq\nDUXZVhVlZ63D4Fw/aRrxckwikQgP3Xsv9XV1zW3GGL41dy5FfdqyhGXP5sQt22scinN8DOsVoFBT\nWIpIO9IziohIN5IXq2Yvec3b7++JMXuwi4FEREQEAGttHLjNGPMHYBYwFDDAZuA1a22Vm/lERCS1\n7K2P8XlllJKQQ78sH8E0jXg5FtZannz0UXZu357UfsHFFzNm/HiXUqUOay1l1Q690j0MyEljSJ7W\n4haR9qUClohINzLYF2Fvi+2N9V7XsoiIiMjBmgpVz7id43CMMXnATOB64GJgubX27CMckw38ErgM\nGAhUAi8Dt1trt3RsYhGRnqUummBDRZiSqij5QS85AX3uO1Z/f/VV1nzwQVLbxBNP5JzZs11KlFp2\n18XwemBAjp8xRUGMprAUkXam2zNERLqR8Tk2aXu3zXQpiYiIiKQiY8yvaCw+LQQuoXGUmD3CMYXA\n+8DPgGzgVaAWuAZYY4w5pSMzi4j0JE7csq48TEnIwef1UJipe9OP1Sfr1rF44cKktr7FxVxx9dUq\nxLRBKBynJppgYI6PMUUBfF79zkSk/amAJSLSjczoG0zarg/mE40lXEojIiIiKWgV8JumryfaeMx/\nAyOBBUA/a+1F1toRwA+ALOApY0ygI8KKiPQkCWtZXxGmtDpKNA7F2T23eGXtYe+tOKKK8nL++uCD\nSY+TnpHB3HnzCASDhzlSACKxBLvqHAbm+BhRGNAoQBHpMCpgiYh0I6N7+TFO+ECDL8CH5XWtHyAi\nIiIdzhiz2BjzoEmB27mttS9Za//NWvtvwMNH6m+MGQV8HdgKXG2tbb5zxlr7Z+CvwCDgWx2TWESk\n5/i8MkppyKGqIcGgXB+erv+y0mGWvvwyD95zz0FrV7VFOBzmoXvvpaGhobnNGMPV3/42hUVF7Rmz\nW4onLKUhhz6ZaQzO81OcrXWvRKTjqIAlItKNeDyGrGjyGvBvl0ddSiMiIiJNTgZG2+O9XbzzteXK\n6Feavj/UsnjVwoNN37/aPpFERHqm7dUOW/dF2VnjMCDHR5qn5xavIpEIy5YuZd3atdTU1BzVsYlE\ngicefpjdO3cmtc/5ylcYNXZse8bstnbUxMjwe+if42d4vt/tOCLSzamAJSLSzfT31idtb6jRU72I\niIjLsoAyt0N0kOFN319rZf9yIN6in4iIHKV9DXE+2xuhNOTQN8tHuq9nf8Z7d8UK6mprGTRkCCNG\njTqqY19/+WU+WrMmqe3Ek07irFmz2jNit7W3PoaTSDAw18fYogDeHlxIFZHO0bNf8UREjsK+ugYe\nWf4BD72xyu0ohzUmK/nm57J4uktJREREpMk2oK/bITrIwKbvOwGMMd8zxuwwxjwA0DQqa3eLfiIi\nchTqnQTrK8JsC0XJDXrJDfbstYZisRhvvNZ4z8SXZs/maGbnXbd2LS+/+GJSW/GAAVz+rW8d1eP0\nVPXRBHvqYwzM9TGqMNDjC6ki0jn0TCMi0kZVdQ3cv/QfPLFyLfURx+04rZpWlDyEv8afRyKRajMW\niYiIdCsvAKcYY/q7HaQDDAAsjUUqgO/RWKyba4zp1dS2CwgaY/JdyCcikrJiccu68jAlVQ5pxkPv\nzDS3I7nuH+++S6iqir7FxYydMKHNx+3etYvH58+n5Wy+mVlZzJ03D79f0+AdSSxhKatx6J/jZ1iv\nAIUZ+lsUkc6hApaISBsN7Z3PhIF9qI86LF23ye04rTqpyA+JePO2Tc9l495aFxOJiIj0eHcDYeBP\npvvd4r3/Tcf+z5Z/prFg9aC1dt8X9sU6M5iISCqz1rK+IkxZyCEcS9A/RwWDeDzO0ldeARpHX3k8\nbbus2dDQwEP33ks4HG5u83g8XHP99eQXFHRI1u7EWktpyKFXuocBOWkMyfO5HUlEehAVsEREjsIl\nJ40BYNGqDS4naV3AawhGQkltK3ZFXEojIiIi1tpS4FvAhcCjxphMlyO1p1LAAH0ArLX/Y60tttbe\n0KJPX6DWWlvdlgc0xrT6ddttt7X7P0BEpCvaVBmlrNphb0OcQbl+PN3u/oejt/bDD9lbUUFBURGT\npkxp0zGJRILHH3qIit27k9ov/trXGH6U62f1VLvrYng9MCDHz+iioKZbFEkBt912W6vvp1ONbt8Q\nETkKZ48dxl1LVrJhewWf7dzDiH6Fbkc6pL7UspUDs/SsDqXeC5SIiEh3YYw5B6gHfgvcCkw3xjxH\n49R7B7HW/rQT4x2vsqbv/YHNX9xpjEkDegOftPUBW07vJCLSE+2ocdhSFWV7tcPAXD8+rz7PJRIJ\nXn/pJQDOOfdcvN62rQX2yt/+xvqPP05qO2naNGaefXa7Z+yOQuE4NZEEw/P9jCkK4NffokhKuO22\n21q98SvVilgqYImIHIWAL43zJ43kmXc/5oUPPuHmOae7HemQxmY4bG1x7WdrvDvd6C0iIpJyXvvC\n9jDgllb6WiCVClj7h6WfD7x5iP2zaJz5o80FLBGRnqyqIc7GPRFKQg59s3xk+DR5EsCGjz9m544d\n5OblcdK0aW06Zu2HH/LqkiVJbQMHDeLr3/xmyl3AdUMklmBXncPgXD/DCwLkBNpWNBQRaU8qYImI\nHKWLp4zmmXc/5pW1n/Hdc6eR7u968z+fVuRlcfmB7VCgkESiBo9Hb9JFRERccMdR9E214UfPAb8D\nrjHG3Gatdb6w//qm7890biwRkdTT4CRYXxGmJBQlx+8lN6iCATSOzH2tafTVWbNmkeY78mfwXTt2\n8MQjjyS1ZWVnc+2NN+Lz+zskZ3cST1hKqx36ZKYxKNdH/5yud91DRHoGFbBERI7SsD75jB/Yh49L\nd7N03WbmnNj15s2e3jcAOx3wNr7JtIFM1lXuYUJh0OVkIiIiPY+19ja3M3QUa22JMWY+MBdYYIy5\nwlobAzDG3AxcCnwKPO1eShGRri8Wt03FKwePMfTJ0iW7/cpKSijZupXMrCymzZhxxP719fU8dO+9\nRCIH1oL2eDxce8MN9MrPP8yRst+OmhgZPg/9c3yMKAi4HUdEejC9GoqIHINLpo7h49LdvLBqQ5cs\nYAW8HjLqK6jPLm5uW74rqgKWiIiItMoYMw+Y2aJp/xuJscaYv7ZoX2+t/W2L7R8DU4GvAbuMMe8B\no4EhwD7gMmttvMOCi4ikOGstnzRNG9jgJBiSpxFCLQ0cPJgf/Mu/EKqqIhA4fDElkUjw2IMPsqei\nIqn9q5dfzrDhwzsyZrextz6Gk0gwOM/PmKIgXs3kIiIu0kS6IiLH4Oyxw8gK+FlXVs7nu/a6HeeQ\nBpiapO21tbpnQURERA5rOnAl8M2mrzNpnNKwqGl7/75ZLQ+y1lYDpwG/obFgdTYQAB4CJllrP+6k\n/CIiKWnzviglIYe99XEG5vpVMDiEIcOGMWnKlCP2W7JoEZ+sX5/UNm3GDE6dObOVI6Sl+miCPfUx\nBub6GF0Y1BpsIuI6Xc0UETkGQX8a500awf++t44XPviEH1945GkMOtv4rBgbW2xvS2QBCbfiiMhx\nisViDLrgYqpqatt8zBWzz+PB2/+1A1OJyBcZY64CpgE/TrVRR9bauTROBXgsx9YD/9b0JSIibbSr\nxmHLvijbq6MMzPHj96p4daxWr1rF0ldeSWobPHQoX7v8cozR7/VIYglLWY1D/xw/Q3sFKMzUZWMR\ncZ+eiUREjtElU8ewavN2TujdNefQPrOPn//dfWC7LpBPQ6yC9DS9cRdJRWlpaWx+8XkijkOotpb/\neepZ7nr8ieb9s6adzC+un8uAPr3JSk/Hl5ZGZnq6i4lFeqxrgYEti1fGmIeAldba+92LJSIiXU0o\nHOfTpqkDe2f6yPBrtMux2lFWxpOPPprUlp2Tw7U33ECaz+dSqtRhraU05NAr6KF/ThpD8/Q7E5Gu\nQQUsEZFjdEKffB696bIueyfX5L7ZmK0hbHpuY4PHy5s7w5w3UBe0RVJVMBAgGAiQm5VF7/xeze0e\nj4f7/u1X9C0ocDGdiDQZB7z/hbZrAS+gApaIiAAQdhKsrwhTEnLI8nvole51O1LKqqut5aF77yUa\njTa3eb1errvxRnLz8lxMljp218XwGhiQ27juVVe9ziEiPY9u7RAROQ5d+U2dx2PIj1Ymtb1Z7riU\nRkTa28o1HzX/PHboEBWvRLqOQkAvuCIi0qpYwrKuonHkFUAfTdV2zOLxOI8++CCVe5PXpv7aFVcw\nZNgwl1KllupInJpIomndq4CmsRSRLkUFLBGRbmxUMJy0vaHe71ISEWlv76w9UMA6bdJEF5OIyBeU\nAiPcDiEiIl2TtZZP90TYHopSF00wIMfXpW+M7Or+9vzzfPbJJ0ltp82cyfQZXW+d6q4oEkuws9Zh\nYK6P4QUBcoMaCSgiXYsKWCIi3dhpRcl38lWk9Wqlp4ikkk+2bGVvKNS8fdrkSS6mEZEvWAdMNMZc\n5XYQERHperZVOZSEHMrr4gzM8eH1qHh1rFa99x7LXn89qW3oCSfw5csucylRaklYS2m1Q5+MNAbl\n+uifo3WvRKTr0RhlEZFu7JwBGfznRzHwNj7dJ4I5bNhbyZgCrYMlkspWrlnb/LMxRiOwRLqW/wNc\nDDxijPlXYGdT+3nGmKVteQBr7TkdFU5ERNxTXhdjU2WEslCU/jl+Amm6r/xYlZWU8NRjjyW15ebl\nce0NN5CWpsudbbGjJkaGz0P/XB8jCgJuxxEROSQ9o4uIdGPZgTTSG/bSkNWnue217WEVsERS3IrV\na5p/HtCnNwP69HYxjYi0ZK19zxjzTeDPwMimL4DeTV8iItIDVUfifFIRpiTkUJSZRpZfxatjVVNT\nw0P33kvMObDkZFpaGtfdeCPZOTkuJksde+tjROMJhuf7GVMU1EhAEemyVMASEenmBnlr+ZQDBawP\nQ/qgJJLqWo7AmjFJ0weKdDXW2ieNMc8Cw4BiYCnwGo2js450hch2cDwREelk4ViC9eURSkIOGT4P\n+em6HNeandu307tvX7zeQ6/FFI/HefSBB6jaty+p/etXXsmgIUM6IWHqq48m2NsQY2gvP6MLg2T4\ndI1ARLouvWKKiHRzU3Mtn0YPbJcmstwLIyLHbXt5Bdt27mrePm3SBBfTiEhrrLUxYCOw0RgDsMta\nu8zdVCIi0tniCcv68gil1VESFvpm6VJcaxoaGvjT735HZlYW//zTn5KRmXlQn0XPPsumzz5Lapt5\n1lmcPH16Z8VMabGEpazGoTjbx9BeAQoz9fcoIl2bSuwiIt3crAHBpO1wRhGhhmgrvUWkqzto/avJ\nWv9KREREpKv6dG+Esuoo1eEEA3N8NN3UIIewctkywg0N5OXlHbJ49d7bb/PWG28ktZ0wYgQXX3pp\nJyVMbdZaSkMOvYIe+uf4GJrnczuSiMgRqYAlItLNDc/x4Y3WHWhI8/FaSa17gUTkuLRc/6pXdjZj\nhw1zMY2ItNEdwHNuhxARkc61rSpKSchhd22MQbk+rTN0GNFolOVLlwIw64ILDtpfsnUrzy5YkNTW\nKz+fa/7pn1qdblCS7a6L4TUwILdx3SsVU0UkFaiAJSLSjqy1rN22i7Xbdh25cycxBnrHkucHf3tP\n3KU0InK83m4xAmv6xPEuJhGRtrLW3matVQFLRKQHqaiL8XllhLIqh/45PgJpugR3OO+uWEFtbS0D\nBw9mxKhRSfuqQyHm33cfsVisuc3n83HdvHlkZWd3dtSUVB2JUxNJMCDXx+jCAH6vilcikhr06iki\n0o5e+2gTNz20iPtef8/tKEnGZCZPGbgxku5SEhE5HqHaWj7etLl5+9RJmj5QREREpKupjcT5pCJM\nSZVDQYaXLL9GCB1OLBbj76++CsCs889PGhkUi8V4+IEHCFVVJR1z+be+xYCBAzs1Z6qKxBLsrHUY\nmOtjeEGA3KD+HkUkdaiAJSLSjmaMGkS638eakl1srdh35AM6ydl9kue23pfeByeWcCmNiByrd9Z+\nhLW2eXvG5EkuphERERGRL4rEEqyriFBS7ZCe5qEgI83tSF3eqnffJVRVRd9+/Rg7YULSvueffpqt\nmzYltZ01axZTTj65MyOmrIS1lFY79MlIY2CujwE5WvdKRFKLClgiIu0oI+Dn3AknAPDCqk9cTnPA\njD4+iLUYhRXM4s2yGvcCicgxWbH6wPSBQb+fqWNGu5hGRERERFqKJyzrKyKUhqLE4tA3W8WrI4nH\n4yx95RUAvnT++Xg8By5Vvv3WW7z95ptJ/UeMHs2FX/5yp2ZMZTtqYmT4PPTP9TGiIOB2HBGRo6YC\nlohIO7tk6hgAXlqzkYgTO0LvzuHzGPIje5Lalu7WOlgiqWZli/Wvpo4dgy9NF0VEREREuorPK6OU\nVTtUhRMMzPXhMVpn6EjWfvgheyoqKCgsZNKUKc3tWzZt4rknn0zqm19QwNXf/jZer6bAa4u99TEi\nsQQDctIYUxQkzaO/RxFJPSpgiYi0s1HFRYzsV0h1Q4TlG7a6HafZ6EB90vb6sNbBEkklUcdh1YYN\nzdszJh/9+lfrNm3mnqefbc9YIiIiIgKUhqJsrYqyq9ZhUK5PxYI2SCQSvP7SSwCcc955zYWpUFUV\nD99/P/H4gZsu/X4/c+fNIzMry5WsqaY+mmBvQ4xBuT5GFwbJ8OkSsIikJj17iYh0gIunNE7rtWjV\nhiP07Dxn9U5+yt8TKCKRsK30FpGu5h/rNxCJOs3bp006+gLWb//yEGXl5e0ZS0RERKTH21MfY+Pe\nCKUhh+IsH8E0XW5riw0ff8zOHTvIzcvjpGnTAIg5DvPvu4+a6uqkvldccw3FAwa4ETPlxBKWshqH\n4mwfQ3r5KczUrA0ikrr0iioi0gHOnTCcoC+N1dt2UrKnyu04AJzdPx1ikeZtG8jknd0NLiYSkaOx\nYvWa5p+9Hg/Tv7DA9ZFU7NvH395cwZUXzG7vaCIiIiI9Vm00wYaKMKUhh/ygl+yAprdrq32Vlfh8\nPs6aNYs0nw9rLc8++SQlW7cm9TvnvPOSpheU1llrKat2yAt66J/jY1gvv9uRRESOiwpYIiIdIDPo\n50vjTwDghVWfuJymUTDNQ25D8siL13d1jTW6ROTI3l7zUfPP404YRk5W5lEd//ALf2PM0CGMHTas\nnZOJiIiI9ExO3LK+vLF45fd6NNLlKJ1+1ln8+je/YfrppwPw9ptv8t7KlUl9Ro8bxwWXXOJGvJRU\nXhfDAwzM9TOmKIjROmwikuJUwBIR6SCXTB0DwJLVnxKNxY/Qu3OMSKtL2v6oLuhSEhE5GtZa3l67\ntnn71KOcPjAcifDfTz3DFeef197RRERERHqkhLWsrwhTGooSjUNxtopXxyIrOxu/38/mzz/nuaee\nStpXWFTEVXPn4vHo8mVbVEfiVEcSDMj1MbowgN+r4pWIpD5XXgGMMbpiKiLd3pj+RQzvU0CoIcLy\nDVvcjgPAzMLk7d2+AqyWwRLp8tZt2kyo9kAB+mjXv7r32ecor9zHN2af297RRERERHqkz/ZGKQ05\nVIUTDMr14dFIl2NWtW8fD99/P4lEorktEAgwd948MjIyXEyWOiKxBDtrHQbm+hheECA3qKksRaR7\naLcCljHmv4wxR5xY1RgzCni7vc7rFmPMFGPMs8aYPcaYBmPMR8aYnxpjfG5nE5GuwRjDJVNH4zGG\nrRVdYx2scwdlgXNgHayEP4M1lY6LiUSkLVauOTD6yhjDjMmT2nzsxm0l/Ob+v3DOyVPpW1DQEfFE\nREREepSyaodtVVF21joMyPGR5lHx6lg5jsP8++6jtqYmqf2Ka66hb3GxS6lSS6Jp3as+GWkMzPUx\nIEeXJkWk+2jP8c0/Bs41xnzLWrv2UB2MMdcA/w2k9O0TxpivAM/QWAD8GNgOnAb8O3ChMeZ8a23Y\nxYgi0kXMnjSS00cPoSjn6Naq6SjZQR+Zdbuoyxvc3Pa30giTC/QGV6QrW7F6TfPPg/r2obio8DC9\nD9iyfTtf/udbqGsI880Lzu+oeCIiIiI9RmVDjM/2RigJOfTL8pHu0/R2x8pay7MLFlC6bVtS+6wL\nLmDiiSe6lCr17KiJEUzzUJzjY0RBwO04IiLtqj1fZf8vMA54zxjzL6bFKoHGmExjzMPAfCAKfLUd\nz9upjDF9gUeBGPAVa+1Ea+0FQDGwDDgDuM29hCLSlWQEfF2meLXfSF9t0vaHtUccPCsiLkokErz1\n4YECVlunD3xu6RvMnHsj23buIjM9yJfPOqOjIoqIiIj0CPVOgvXlYUqqovQKeskJaJq247Fi2TLe\nf+edpLYx48cze84clxKlnsqGGJFYggG5aYztHdRoQBHpdtptBJa19hfGmEXAw8D/Ay5qGnHVC3gS\nGEnj1IHftNaWtNd5XfBDIBO401q7aH+jtbbOGPNlYAfwQ2PM/7HW1rT2ICIibjmnj5cPW9Swyn2F\nxBMhvHqjK9Jl1NTV0xCJULFvH0+/+ho79+xp3lfYK49QbS3eFotZWws19fWU7trF++vW88TLr/LB\nhk+a919y5hlkBLUEqYiIiMixcuKWdeVhSkMxfF4PRZntOalRz7Np40YWPvNMUlth795cdd11eDwa\n1dYW9U6CiroYw3r5GV0YJEOjAUWkG2rXV1tr7dvGmEnAvwL/AqwFAoAPuAP4jbU21p7ndMFXAQs8\n+MUd1tpqY8wzwDXA+cDTnZxNROSIZg/J4b8+DIOv8WK29aezYucuzuif0rO7inQbdz3+BL+4+89J\nbS0GtvPHBU/xxwVPHfYxjDHNxxhjuPqiC9s/qIiIiEgPkbCWDRVhSkNRInHLkDxNwX489lVW8sgD\nD5BIJJrbAsEg3543j/QMfS5ti1jCsr3aoX+OjyG9/Cqoiki31e7PbtbaBmPM7cAI4NKm5mustX9t\n73N1NmOMBzgB+Nxau62Vbq/TWMA6odOCiYgchXSfl7xwBVW+gc1tL2+PqoAl0kX86Mor+NGVV7gd\nQ0RERESabKqMUhpyqGxIMDTPj8do9opj5USjzL/vPmprk6e2v/Laa+nTr59LqVKLtZayaofcoIf+\nOT6G9dKyACLSfbX72FJjzFRgFY3Fq89oXCvqHmPM99v7XC7oTWPRbyeAMSZojFlkjNlmjNm/rtfO\npu8DD/UAIiJdwfhgQ9L2Rw2aWkxEREREROSLdtQ4bN0XZUeNw8AcHz6vilfHylrLMwsWUFaSvLLI\neRdeyPhJk1xKlXrK62J4gAE5fkYXBpJmaxAR6W7arYBljPEaY35F4zpXY4H/AiYA04Ay4G5jzOvG\nmFQu7Axo+r676ft44CIai1XXNbXtavqeyv9OEenmzitOnvJiX7A3YSfuUhoREZGewRiTZYz5njHm\nz8aYl4wx//KF/f3dyiYiIgfb1xBn454IJSGHvlk+0rXG0DGpralh8cKFvLpkCf94992kfeMmTuTc\nCzXddVtVR+JURxIMyPUxuihAIE1/kyLSvbXnFILLgVNpHIF0jbX29ab2D5tGZf0OuAH4yBjzQ2vt\nI+147s6y/+ru/leHj4AXgEkcWBNr/75UX+tLRLqxmcXpmB1hbNM6WPjTeXXbNi4e3svdYCIiIt2U\nMeYC4H6guEVzeYv9NwF3GGOGWmurOzufiIgka3ASbKgIsy0UJSfgJTfodTtSynrz73/n9ZdfPqi9\nqE8frrz2WjweFWHaIhJLsLPGYVCen+H5AfL0NykiPUB7vkKcCiwEJrYoXgFgra2z1s4DvkZjEeih\ndjxvZypt+t4HwFobsdZ+2Vo7xFq7sGlf3y/0FRHpctI8hiJnb1Lb67s0AktERKQjGGMGA08CCeBy\nDnxmaOkVoBdwUydGExGRQ4jFLevKw5SEHNKMoU9Wuy8h32M0NDTw5htvHNQeDAb59ne+QzA9vfND\npaBE07pXvTPTGJjrY0Cu78gHiYh0A+35CjzPWnv/4TpYa583xrwPPNyO5+1Me4EoyXdNftH+fUcs\nYB1ujtpbb72V22677WiyHbUFjz/OggVPdOg5RKTrqjvnRjjr+ubtVSEPl1x8iYuJRESkOzntuz/o\n8Pezt912G7fffnuHnqOd3ApkAGdYa1fDwZ8FrLWfGWM+Ac4A/r9OTygiIkDjOk0b9kQorXZocBIM\n7eV3O1JKe3PpUiLh8EHtV153Hb379HEhUWraURMjmOahf46PkQUBt+OIiHQaY63t/JMaY6wbJ24H\nxpjVwERgtLV24yH2P0HjXZWXWGtfbOUxLDS+KXJT+L0Vrp5fpCdriDrE4gmy09174/lRZYzvbWux\n1Ebc4ZlRO+mTrTfDIiJy/IKnzHD1/PsLRNZa11c2N8asASLW2lNatCWAv1prr2nR9iKNM1oMciGm\n67rK5yQR6dk2VUb4dE+UHTUOQ/P8+Lyuv4ykrEgkwr/95CfEYsmrbMy+6KL/n707j4+yvPf//7om\nmSU7ZIEEEvZ9r2jF3YIWVLRa11atQC167Dn2tPa057Q9x7CXmjsAACAASURBVC6P+jun9nv6tfV7\nFFfUuhxra91ARQEXFIobVjbZE9YESCbbLPfMXL8/AoFBA0iSuTPJ+/l45EHua665rzc8Qmbm/tzX\ndfFV7Xt13PaHYtSG4gwr8nFSWTY5vvRecnHi+z9IOl41+b9dSiLSM3Wlz0nHw5XfeOlavDrgmQN/\nfvvIB4wxRcClQD2wKJWhRCR9vLzqUy797R95YtkqV3OM651JZuSwLTYyvDy7pdG9QCIiIt3XUI5v\niXEvkN/JWUREpA27Gxw210bZUR+lPM+r4lU7PTF//meKV+MmTuS8GTNcSpR+mp0ENU0xBhR4GVUc\nSPvilYjIF9Xhv/WMMacZY/7XGPOxMabBGFNnjHnfGPMfxpjsjh7PBXcD+4HbjDFXHGw0xuQBLwA+\n4E5rbcSlfCLSxfXrnU9z1GHBh+uJxROu5TAGBiX2J7Utq9Xa7iIiIp1gAy1FrGMZBazt5CwiIvI5\n6sJx1u+NUBl06JPjJVuFgnZZu3o1n6xKvmmzb2kp37jhBjwe/dsej1jCsqPeoV+el0G9fZTk6PO6\niPQ8HfqKYYy5B1gGXAmMA3JouYPwS8DPgXXGmHM7csxUs9bWAd8AYsDTxpjVxphXgJ3AFOBl4D9d\njCgiXdz4ir4MKunN/qYQy9ZvczXL2YXJd8NVZRZr2R4REZGO9zdggjHmzLY6GGO+DlQAK1OWSkRE\nAAg7CdZUh6kMOuT5PPTOynA7Ulrbt3cvj95/f1JbICuL2TfdRCAQcClVerHWsr3eoSDgobzAq73Y\nRKTH6rACljFmNnATEAR+AUwCSoBhwExaCjvlwJ+MMWUdNa4brLWLgJNpWU6wBDgL2AL8AJhprY27\nGE9EujhjDJdMHgXA8++7e5P1pYOyIXHoV1Y8u5D3dje7mEhERKRb+jXQDDxpjPnSkQ8aY74C3As0\nAv9firOJiPRosYRldU2YqqCDAfpqlku7RKNRHp43j2g02tpmjOHaWbMo6dvXxWTppbopjgHK832M\nKvbjMVrOUkR6po6cgXUtkAC+Zq39hbX2Y2vtPmvtZmvtAmvthbQUtoqAX3XguK6w1n5irb3KWtvH\nWpttrZ1grf2/1lr31gMTkbQxfcJwfBkZrNy0nZ219cd+QifpHcggr7k6qe357dE2eouIiMiJsNZW\nAt8D+gPvGWPeOPDQNGPMOuB1oBi4zVq7y6WYIiI9jrWW9XsjbA86NDkJ+ud7Wze3ly/OWsv//vGP\n7NqxI6l9xsyZjBk/3qVU6ac+EicYiVNR4GVUiR9/ppZcFJGeqyN/A04GVllr3zxKn18BO4DTO3Bc\nEZG0k58d4Nyxg7HASx+sdzXLOH9D0vGqUI5LSURERLova+2DwCXARlpWcAAoA0bQsprDFdba+9t4\nuoiIdIKtdQ6VdQ41TXEGFPjI8Kh41R5LX3uNj957L6lt/KRJTJsxw6VE6ScSS7CrwaGiwMuwQj+9\nAlrOUkR6to4sYEWB3UfrcGB20kdAaQeOKyKSli6ZPBqAlz5cTyzu3uTNC/slL5FRm9WXpqhWQhUR\nEelo1toXgVG07BF8FXA1LTcCDrPW/sXNbCIiPc3uRodN+yPsaIjSP9+LL0PFq/ZYv3YtL/31r0lt\nfUtLueZb39KstuOUOLDvVZ+cTCoKvJQXeN2OJCLiuo4sYC0GTjPHflUaBLx3jD4iIt3ehAGlDCzu\nxb7GZt75tNK1HGf3y8aED5uFlenjxW3aB0tERKQz2BarrLXPWGv/ZK390Fpr3c4lItKTBMNx1u+N\nUBV0KMn2kuPTEm3tsW/vXh578EEOfznLyspizs03EwgEXEyWXnY2xAhkeuif72VEkd/tOCIiXUJH\nvkL/EsgGfthWB2PMacBY4A8dOK6ISFoyxnDx5FEAvPD+WtdyeDyGfk5NUtviGt0hJyIiIiIi3U84\nlmBNTZiqOodsr4feWVqirT0ikQgP33svoeZDN0EaY7huzhyK+/RxMVl62R+KEYklKC/IZHRJgEwt\nZykiAkDmsbsct3XA/wF+bYzZDew54nED/IaWJQSDxpizjzzBMfbPEhHpdmZMHMF9r61kxcYqdtc1\nUNorz5Ucp+ZH+Mth935vsr2AmCtZREREuiNjzHTgI2vtkZ+TDj7+XSB8YK8sERHpBPGEZU11y8wr\nC5TmduRlsZ7HWsv/PvYYu3buTGq/4JJLGDV2rEup0k/ISVDTFGNwbx8jiwOaESgicpiOfKWOHHa+\nR47Rd+nntFlAt72ISI9SkB3gnDGDWfT3jby8agOzzjnJlRxfH5TNXzYlwNPyRjmSXcSm4HaGas1t\nERGRdjPGDACeBlYC57XR7evAZGPMAmvtrpSFExHpQdbvi7A9GKUxkmBwb5/2ZmqnJYsWseqDD5La\nJp50ElO/+lWXEqWfWKJl36t+eV4G9fbRJ0dFVRGRw3Xkb8V32vl8rfsuIj3SNadP4IyRAzlr1CDX\nMgzsFcDfuJtIfr/Wtme3RfjhBBWwREREOsC/A3nAfxylzz8Cq4GfAP+UilAiIj3J1toolXUOe5pi\nDOrlI0NLtLXLutWrWfDcc0ltZf36cfV116kweJysteyodygIeCgv8DKkt8/tSCIiXU6HFbCsted2\n1LlERHqSEWXFjCgrdjsGIzxB/s6hAtbyer15FhER6SDnA5ustW3e9GetXWuM2QZMT10sEZGeobop\nxqbaCNuDDv3zvfgztURbe+ytruaPDz2EtYfuRc/Kzmb2zTfjDwRcTJZeqpviAPTP9zKq2I9HhT8R\nkc/QK7aIiAAwvTT5zfIeXx/CsYRLaURERLqVUuCT4+j3MVDRyVlERHqUhkic9TVhKuscirIzyPVp\n94r2iITDPDxvHqFQqLXNGMP1c+ZQVOz+jZnpoiESJxiJU1HgZXRxQEVVEZE26LejiIgAcMHgAkyk\n6VCD18+LWxrdCyQiItJ9bAcGHEe/MqC6k7OIiPQYkViCNTURtgUdsrweirK1v1B7WGt56rHH2L0r\neavGiy69lJFjxriUKv1EYgl2NjiUF3gZWuijV5aKqiIibVEBS0REAPBleih1kq+ZvbpHM7BEREQ6\nwFpgjDGmT1sdjDFFwDhgTcpSiYh0Y/GEZU1NhMpglHgCSnNVvGqv1195hY8//DCpbdLJJ3Pueee5\nlCj9JKxle71DSU4mAwq8VBRo6X4RkaNRAUtERFqdURBLOt6Y6J20rrmIiIickGcBP/D7o/T5byAA\nvJ6SRCIi3dyGfRG21zvUhxNUFHi1v1A7rf3kE15+4YWkttJ+/bjq2msx+rc9brsaYgQyPZTnexlR\n5Hc7johIl6cCloiItLpqaDYcVrBy8vrw/q4GFxOJiIh0C4/Qsr/VVcaYRcaYU4wxPmOM1xhzkjHm\nJeB6YDPwB1eTioh0A5XBKNuCDrsbHSoKvGR6VGBpj5rqav748MNJNzdm5+RQMXAgjz3wALt27nQx\nXfrYH4oRjiUoz89kdElAP5ciIsdBBSwREWlVlpNJbih5GcE/bXNcSiMiItI9WGvjwLeAvcA0YDnQ\nCDQBK4ELDhzPstZG3MopItId7G2KsWFfhKqgQ79cL4FMXfpqj3A4zMPz5hEOhVrbjDFc8Y1v8NF7\n77F29WpsQkvPH0vISVDTFKOiwMvIkgA5Pv1ciogcD/22FBGRJCf5k2dcfRTNdymJiIhI92Gt/RiY\nCNwHBIHMA19NwB+BSdbat91LKCKS/hojcdbuDVNZ51CYlUGeP8PtSGktkUjw5COPsGfXrqT2i7/+\ndXZu347jOIwZN45+5eUuJUwPsUTLvldleV4G9fbRJ0f7sYmIHC8VsEREJMnVg5I3kW3O7cfWurBL\naURERLoPa+0ua+3NQDHQBygFeltrv2Wt3exuOhGR9BaNW1bXtMy8CmR6KM5WkaC9Xn/5ZT5ZtSqp\n7aRTTuGU007j7TfeAGDajBluREsb1lp21DvkB1r2vRrS23fsJ4mISCsVsEREJMmEYj++0P5DDR4P\nT25qdi+QiIhIN2OtTVhr91prqw8sLygiIu2QsJY11WGqglGcOJTlqXjVXqs//phXXnopqa1feTlX\nXnst7775JuFQiKHDhzNoyBCXEqaHmuY4Fkt5vpdRJX48RvteiYh8ESpgiYh0QSs2VPG9R17knU8r\nXRl/jGd/0vHyxixXcoiIiIiIiBzLhn1Rttc7BCMJKgq8KhK0U/WePTwxfz7W2ta2nNxcZt90EwBv\nLl4MwHkXXOBKvnTREIlTF44zoMDH6OKA9mMTETkB+s0pItIFbdyzjw+27OSF99e6Mv7X+ievFb8/\nux+1IceVLCIiIiIiIm3ZHnTYVhdlV6NDRb6XTI+KV+0RDoV4+N57CYcPLSPv8Xj41re/TWFRESuW\nLaOxsZGKgQMZPnKki0m7tmjcsrPBobzAy9BCH72ytB+biMiJ0JxqEZEu6IJJI7h/8Ure+bSSmvom\nSvJzUjr+1P5Z/GpHAwl/XktDpo+nNzZw0/jClOYQERHpTowx5wEnAwOAQFv9rLVzUhZKRCSN7WuO\nsWF/hMqgQ1muVzNc2imRSPDEI49QvWdPUvvFX/86w0aOJBaLsWTRIgCmTZ+O0Uy3z5WwlqpglJKc\nTCryvVQUaN8rEZETpQKWiEgXVJibzVmjBrF0zRZe+nA9s845KaXjezyGIfEaNpLX2rak1sdNKU0h\nIiLSPRhjcoBXgNOP8ykqYImIHENTNMHamjCVdVF6BzLI92uGS3stWrCA1R9/nNQ2+ctf5qyvfAWA\n91esIFhXR2lZGWMnTHAjYlrY1RAjkOmhf76XkUV+t+OIiKQ1FbBERLqoSyaPZumaLbz4wTquP2sS\nGZ7U3k04vU+CjY2Hjnf6S4nE6vHrrkYREZEv6g5aileNwJPARqChjb62jXYRETnAiVtWV4epCsbw\nZngoydHlrfb6ZNUqXl2wIKmtfMAArvzmNzHGkEgkWPzqqwBMnT4dT4o/n6aL2lCccCzBsEIfo0sC\nZGZolpqISHvoFV5EpIuaPLg/Zb3y2FXXwMpN25kyfEBKx790cA7/74MweFtWOLK+HF7YsoMrhhek\nNIeIiEg3MB0IASdbaz91O4yISDpLWMuamjDb66NE4pZBvbxuR0p7e3bt4olHHklqy83NZdbcuXh9\nLcvfbfz0U/bW1FBUXMykyZPdiNnlhZwE1U0Og3v7GFEcINenIp+ISHvpN6mISBfl8RgunjwKgOff\nX5fy8QOZHsoiu5PaFu7Ry4aIiMgJGAi80xOKV8aYk4wxfzbG7DXGhIwxfzfG/MgYoyvMItIhNu6P\nUhV02B9KUJHvxaN9mNolFArx8Lx5RMLh1jaPx8O3bryR3oWH9kAeMWoU3/vRj7j8mmvIyNByjUeK\nJSxV9Q5leV4G9fLRN1dzBkREOoKuRIqIdGEXThpJhsfwzvpt7K1vSvn4Z/eKJB1v8hSTSGhlIxER\nkS9oKxA+Vqd0Z4y5FPgbcBmwE1gKDAD+E1hkjAm4l05EuoMd9Q5ba6PsanCoyPfi1fJs7ZJIJHji\n4Yepqa5Oar/k8ssZOmLEZ/oPGDSIkWPGpCpe2rDWsqPeoSDgoTzfy5BCn9uRRES6DRWwRES6sKK8\nbM4cOZC4tSz4aH3Kx79maC7EY63H8axevLWzOeU5RERE0twTwJnGmFy3g3QWY0wp8BgQAy611k6w\n1l4A9APeAM4Gfu5eQhFJd7WhOBv2RagKOpTmesny6pJWe7360kus+eSTpLaTp0zhzHPPdSdQmqpp\njmOxlOd7GVXi16xAEZEOpFd7EZEu7uLJowF44f11KZ/9VJydSa/mXUltz26PtdFbRERE2nAn8Cnw\nmDHd9qrWrUAO8F/W2ucPNlprm4CvAc3ArcaYPJfyiUgaa3YSrKkJsy0YpSCQQUFAS9i118cffsii\nhQuT2ioGDuSKb3yD7vtS1fEaInHqwnEqCnyMLg4QyNSlVhGRjqQFWUVEurhThpRTWpDL7mAjKzdv\n59RhFSkd/9ScZl457Hh1rDeQSGkGERGRdGatDRtjvkXL8nr3G2P+coz+C1KTrENdBljgoSMfsNbW\nG2OeAb4FzAD+lOJsIpLGYnHL6uowVUGHTGPok6NLWe21e+dOnnr00aS23Lw8Zs2di9erLQuPVzRu\n2dngUNHLx7BCH72yVFgVEeloetUXEeniPB7DlVPGU7mvjrJeqb9p+ZohAV7ZYuHAXXjhnBLW7tvG\n6CJtYyEiInI8jDERWj57GWDOga+2WCCtroAZYzzAUGCjtXZbG91ep6WANTRlwUQk7VlrWbs3wvZ6\nh5CTYHBv7S3UXs3NzTw8bx6RyKH9jj0eDzd85zv06t3bxWTpJWEtVcEoxTmZVOR7qSjQz6aISGdQ\nAUtEJA1cddp418Ye1jtA1t93E8ora217ckuEX6qAJSIicrze/QJ9U7tecMfoQ8tny10AxpgA8DQw\nEfhna+2zBx8DUjuVXETS2qbaKFXBKPua4wzu5dPeQu2USCR4/OGH2VtTk9R+6ZVXMmTYMJdSpafd\nDTH8mYbyfC8ji/xuxxER6bZUwBIRkWOa6AuynEMFrJWhbrsHvYiISIez1p7rdoZOVn7gzz0H/hwH\nzDzw/SzgWWD3gWMVsETkuOxqcNhSG2VHvUNFgQ9vhopX7fXyCy+wbvXqpLYvn3Yap599tkuJ0lNt\nKE4olmBYoY/RJQEy9bMpItJpVMASEZFjunKgj+W7Dx035pSysbaKYb01C0tERESIH/jz4M71fwde\noGUG1kNHPBY71smMZliIiKTMewsf5X/+4x/cjiE9mOF3bkcQkS7Mc+wuIiLS0325LAd/095DDcbD\nIxtC7gUSERGRrqTqwJ99Aay1EWvt16y1g6y1zx14rPSIviIiIiIiIkelGVgiInJcJnlrWUFx6/Hf\nwgUuphEREUk/xhgvMAoYDrS5Hq+19tGUheoY+4Ao0O8ofQ4+dswClrXpuA2YiHSEWMKyaneIDfui\nxBKWinyvZmW2U3NTE//3v/6LfXsP3ZCYkZHBP/zzPzN46NDPfc7WzZupGDiQjIyMVMXs8qy1VAYd\nAl7DsEI/E0sD2pPtBE18/wdJx6sm/7dLSUR6pnR7XVUBS0REjsv1Q7ys2H7ouDmvjE9qtjCuJNu9\nUCIiImnCGHMh8HtgyDG6WiCtCljWWmuMWQdMMMaMsNZ++jndZhz4c10Ko4lIGrHWsq4mQlXQIeQk\nGNTLl3YX2bqaRCLBHx9+OKl4BXDZVVe1Wbyqq63lf373O3r17s0Pf/YzfD5fKqJ2eXub4ySw9M/z\nMbrEr+KViEiKaAlBERE5LhNLsshqqk5qe3RTxKU0IiIi6cMYMw54lpbi1VpgA7CHlkLVo8BLB7re\nAXzdjYwd4JkDf377yAeMMUXApUA9sCiVoUQkfWypc6gMOuxtjlNR4CPDowJBe7347LOsX7MmqW3K\nGWdw2llntfmcN15/nXg8TvmAASpeHdAQiVMbjjOgwMfokgCBTF1OFRFJFf3GFRGR43ayvy7p+AOn\nt0tJRERE0srPAS/wPWvtWFpmYu231s6y1s4CvgYsA8YdtmdUurkb2A/cZoy54mCjMSYPeAHwAXda\na3X3i4h8xu4Gh837I+yoj1Ke58WXoeJVe723fDlvvP56UtvAwYO57Kqr2nxOY0MDy99+G4Bp06d3\nar50EY1bdjXEKM/3MrTQR+8sLasoIpJKKmCJiMhxmzUsAIftSxHJ7ct7u5tcTCQiIpIWJgEbrLV/\nOHC8GRh88EFrbQL4B+ASY8zFLuRrN2ttHfANIAY8bYxZbYx5BdgJTAFeBv7TxYgi0kUFw3HW741Q\nGXTok+Ml26dLVe21bcsW/vTEE0lt+QUFzJo7l0yvt83nvbVkCdFolNHjxtG/oqKzY3Z5CWvZXu9Q\nlJNBRYGXAQWakSYikmp6VyAiIsdtRG8/uU17ktr+uMVxKY2IiEjaKAcOX8NpMxAwxpQdbLDWfgJU\nArekOFuHsdYuAk6mZTnBEuAsYAvwA2CmtTbuYjwR6YLCsQRrasJUBh1yfR7NbukAwbo65t93H7FY\nrLUtMzOT2TfdRH5BQZvPC4VCvP3GG4BmXx20uyGGLwPK872MLPK7HUdEpEdSAUtEJE3V1Dcx/40P\nqG0MpXTc07Ibko4/jhdhD5uVJSIiIp+xm5Yi1kFbgQgw9Yh+HwGnpChTp7DWfmKtvcpa28dam22t\nnWCt/b8HZpmJiLSKJSyrq1tmXgH0zcl0OVH6cxyH+ffdR30wmNR+1XXXMWDQoKM+95033iAcCjF0\n+HAGDx3aiSnTQ20oTiiWoCLfy+iSAJla1lJExBUqYImIpKn/fultHlzyHgtXfZrScWcND8Bh16Cc\nnGLe2t6Y0gwiIiJp5l1gnDEmE+DAPlCvAJcd0a8PoOkHItIjrN8bYUcwSlMkQXm+F2NUIGgPay1/\nevxxKrduTWo/97zzmPzlLx/1udFolDcXLwZg2owZnRUxbYScBNVNDuUFXoYX+8nVspYiIq7Rb2AR\nkTQ186RRALzw/tqUzoAakO+joGl3UttTlVoRSERE5CieAvy07BF10DPA140x3wAwxpxPy15Rq1Mf\nT0QktbbWRqkMOlQ3xako8JLhUfGqvd54/XXe/9vfktpGjR3LRZdeesznrli2jMbGRioGDmTEqFGd\nFTEtxBOWqnqHsjwvg3r5KM1te88wERHpfCpgiYikqVOHVdAnP4ft++v5cOuulI59Zl5T0vEaSkgk\ntIygiIhIG14APgb+6bC2vwAbgceNMXW0zMgC+G2Ks4mIpFR1U4xN+yNsD0bpl+/Fn6lLU+21bvVq\nXnz22aS2kr59uW72bDyeo//7xmIxlixaBLTsfdXTZ8Jtr3coCHjon+9laKHP7TgiIj2e3iWIiKSp\nzAwPF31pJADPv782pWPPGp4NiUOzruLZhSyqbDjKM0RERHquA/s/zQZmHtbWDEwHXgd8wFpgjrX2\nr66EFBFJgfpInHU1YSqDDiU5mVqarQNU79nDYw89lLQqRyAri2/ffDNZ2dnHfP77K1YQrKujtKyM\nsRMmdGbULq+mKUYCS/88L6NL/Hh6eDFPRKQr0DsFEZE0dtGXRuExhjfXbqG2KZSycUtzMilsTp71\n9cx2zcASERFpi7X2Q2tt9RFtW6y151trs621Y621812KJyLS6cKxBGuqI1QGHbK9HgqzMt2OlPZC\noRAP3Xsv4dChz4LGGK6fM4eSvn2P6xzhcBif38/U6dOPOVurO2uMxqkNxxlQ4GN0SYCAZgaKiHQJ\n+m0sIpLG+vbK5dRhFTjxBK+s2pDSsb9SkFww+9TTl3hcRSwREREREUkWT1jWVEeoqo+SsFCaq+JV\neyUSCf740EPU7NmT1H7RpZcyauzY4z7POdOm8bNf/YpJkyd3dMS04cQtO+tjlB9YNrB3VobbkURE\n5AAVsERE0twlk1s22X3+/bVJy0Z0tm8Nz4G403qcyCrghS31KRtfRESkOzLG6DOaiHQ7n+6LsL3e\noT6coCLf2+P3WeoIC557jnWrVye1Tf7ylzn3vPO+8LlycnPJyOiZRZuEtVTVOxTlZFBR4GVAgfa9\nEhHpSvThSEQkzU0ZPoDivGyq9gX5aNuuYz+hgxRmZdAnlDzeX3fpg6iIiMiRjDEPG2O+c4w+ucaY\ntcAPUhRLRCQlttVF2RZ0qG5yGFDgJcOjzwzt9f6KFSxZtCipbcCgQVx57bUqDn5Buxtj+DKgf56X\nkUV+t+OIiMgRVMASEUlzmRkeLvpSyyysF95fl9Kxzy+MJB1vziwlGkukNIOIiEgauAE462gdrLWN\nQBz4akoSiYikQE1TjI37I2yvcyjL9eLXvkLtVrl1K08//nhSW35BAbPmzsXr9bqUKj3VhuKEnJZZ\ngWNK/GRmqPgnItLV6J2DiEg3MPOkkRhg6ZrNBJvDKRv32uG5EDtUxLKBPP68UcsIioiInKCNwHC3\nQ4iIdITGSJx1NWEq6xyKsjPI8/fMJeo6Un0wyMPz5hGLxVrbMjMzmTV3LgW9ermYLP2EnATVTQ7l\nBV6GF/vJ1c+niEiXpAKWiEg3UNorj1OHVdCvdz676xpTNm6ez0O/yO6ktudrdNefiIjICUoAfd0O\nISLSXtG4ZXVNhMp6h6xMD0XZmW5HSnuO4/DwvHnUB4NJ7Vd+85sMHDzYpVTpKZ5o2feqLM/LoF4+\nSnP1GVZEpKvSOwgRkW7iPy6fSm7Al/I1z2cWR7kvdOh4e6A/9dH95Pt0j4SIiMjxMsZkABOA7W5n\nERFpj3jCsqY6TFUwSiwO/Xvp0lN7WWt55sknqdy6Nan9nGnTOHnKFHdCpbEd9Q75fg/9870MLfS5\nHUdERI5CVxdFRLqJvCy/Kxv2XjUsFxM5bNZXpp+H16duFpiIiEi6M8b0Bf4fMAT4u8txRETaZeP+\nKFX1DnXhBBUFXjwufEbpbt5cvJj3li9Pahs5ZgwzL7vMpUTpq6YpRhxLeb6X0SV+/XyKiHRxug2m\nB/vPBYv4xS9+4XYMEekGRt/4O3JOntl6/ORWh3+98UwXE4mIiNtuv/12fv7zn7sdwxXGmH8BfgTY\nw5qvMsbM+JzuWUA2YIAw8LPOTygi0jmqglG21kXZ3egwsMBHpkfFgfZav2YNL/zlL0ltxX36cN2c\nOXg8ui/9i2iMxqkNxxla6GN0SYBApv79RES6OhWwerCf//znPfaigoh0rFc/3MxP/5ZoPfb2H82a\nqr2MLi9yMZVI1xOLxQgGg2zYsIFrr72WLVu2APDAAw8wZ84cl9OJSAeqB4JAMZB/oM134PjzxIDF\nwH9Ya9d2fjwRkY63tznGp/siVAUd+uV6VRzoADXV1Tz24INYe+h+iEAgwJybbyY7O9vFZOnHiVt2\n1scoL/AypLeP3lkZbkcSEZHjoHcTIiLSbudPGoy/ee+hBmO4Z/EG9wKJdFGZmZkUFRUxZcoUAoEA\nAMYYzj33XHeDiUiHstbOs9YOs9b2oqVwBfAcMJiWSSnjwAAAIABJREFUZQIP/yoDAtbaGdbav7kS\nWESknRqjCdbWhKkKOhQGMsjzqzjQXqFQiIfuuYdQ6NCGw8YYrpszh76lpV/4fHurq3n+z3+mPhjs\nyJhpIWEtVfUORTkZlOd7GdhL+16JiKQLzcASEZF2M8Zweh/LksO2vlpZm0kikdCyFiKfIxgMsm7d\nOgD69+/PkCFDXE4kIp3FWhs7sEdlg7V2m9t5REQ6mhO3rKluKV75MjwU5+hSU3slEgkef/hhqvfs\nSWq/8GtfY/S4cSd0ziWLFrF82TJCoRBXX3ddR8RMG7sbY/gyoH+el1HFfrfjiIjIF6CriiIi0iG+\ne/5oSMRbj2OBXjy3crOLiUS6rmXLlrUuBXPOOee4nEZERETkxCSsZU1NmKr6KNE49MtT8aojLHz+\nedZ+8klS20mnnMJXzj//hM4XrKtj5fLlGGNO+BzpqjYUJ+QkKM/3MqbET2aG9mUTEUknKmCJiEiH\nGNinF8XR6qS2J97f5VIaka7t7bffbv1eyweK9AhzgPvdDiEi0tE27o9SFXSoCyUYUODFY1QcaK8P\nVq5k8auvJrVVDBjAVddeiznBf9+lr71GPB5nwpe+RJ++fTsiZloIxxJUNzmUF3gZUeQnV0tbioik\nHRWwRESkw1w8qiDpeGuiN8GmsEtpRLqut956C9D+VyI9hbV2vrX2LbdziIh0pO31Dltro+xqcCjP\n95LpUfGqvaq2beN///jHpLa8/Hxm33wzXt+J7dvU2NDA8gM3T02bPr3dGdNFPGGpDDqU5bXseVWa\n53U7koiInAAVsEREpMPM+cpoTLT5UIM3wLzXV7sXSKQLikQirFy5EoB+/foxdOhQlxOJiIiIfDH7\nQzE27Iu0FgiyvLq81F71wSAPz5tHzHFa2zIyM5l9000U9Op1wud9a+lSotEoo8eNo39FRUdETQs7\n6h3y/R7653sZVnhixT8REXGf3mGIiHRj1lo+Wbepda+dzhbweRnpr09qe3VzKCVji6SLlStXEo1G\nAe1/JSIiIumn2UmwtiZCZTBK70AG+VqWrd1ijsP8++4jWFeX1H7lN7/JwMGDT/i8oVCIt5cuBXrW\n7KuaphhxLOX5XkYX+7W0pYhIGlMBS0SkG/uHf/tPZv/gl3y8dmPKxpx12oCk42CgD59srW6jt0jP\no/2vRORwxphpxpj/Y4z5tjFG6xuJSJfmxC2rq8NU1jlkGg8lOZluR0p71lqeeeoptm3ZktR+9tSp\nnDJlSrvO/c6bbxIOhRg6fDiDe8is/8ZonNpQnIp8L6NK/AQ0O1BEJK3pt7iISDc2dmTLh5RnX16a\nsjGnjR+AP7z/UIPxcO/ST1M2vojbmpubufvuuznnnHMoKioiLy+PadOmsWLFCkD7X4n0VMaYu4wx\nZx/RdhXwKvB94H7gBWOMpjKISJdkrWVtTZjtQYdI3NI/X8WrjvDWkiWsfPfdpLYRo0Yx87LL2nXe\naDTKm6+/DsC0GTPada504cQtO+tj9C/wMrTQT2GWfkZFRNKdClgiIt3YpdNblid77c0V1Dc0pWzc\nM/omH79f6yMej6dsfBG3LF26lFGjRvH973+fM844g5UrV7J582Yuv/xypk+fzpIlS3jnnXcAKCsr\nY9iwYS4nFpFUMMZMAP4JuPSwNi/wG2A/cDvwIfBV4Co3MoqIHMvG/VGqgg77Dsxu0bJs7ffpunW8\n8Je/JLUVl5Rw/Y03kpHRvvsZVixbRmNjIxUDBjBi1Kh2nSsdJKylqt6hKDuDinwvAwo0qVlEpDtQ\nAUtEpBur6NeXUyaNIRJ1eHnpOykb9x+mjoJEovU4ll3IX5dvSNn4Im548cUXmT59Ojt37uTxxx/n\njjvuYMiQIZSUlHDLLbfws5/9jCuuuIJgMAho/yuRHuZWIA7ceVjb+cAA4FZr7a+AGUAUmJ36eCIi\nR7ezwWFrbZSdDQ4V+V68GSpetdfe6moefeABEod9bvIHAsy5+Ways7Pbde5YLMbS114DWmZfmR5Q\nbNzTGMObAf3zvYws9veIv7OISE+gApaISDd32YxzAXh24VKstSkZc1CffEri+5LanvxgV0rGFnHD\nwoULufzyy3Ech9tvv52rrvrsBIrvfe97STMRtXygSI9yLrDBWnv4i+FMoBl4DsBaWwMsBzQ1U0S6\nlNpQnE/3RqgMOpTmesnSnkLtFg6FeGjePELNza1txhiumz2bvmVl7T6/MYYLLr6Y8ZMmMXbChHaf\nr6urC8dpchKU53sZU+JXgVVEpBvRuw4RkW7u3NMm07sgj41bt/PJ+k0pG/eSUQVJx9soZn9Dcxu9\nRdJXdXU11157LY7jMHbsWH7yk598bj+v18vEiRMB7X8l0gOVA+sOHhhjPMDXgBettYe/OO4F+qU4\nm4hIm0JOgrU1YbYFo+T7MygIaJu+9kokEjw+fz57diXf4HfBJZcwZvz4DhkjIyODk6dMYdbcuXg8\n3fvSXziWYE+jQ0WBl5FFfnL9+hkVEelOuvermIiI4PVmMvO8s4CWWVipcsPZIzFO+FCDL4t5r/49\nZeOLpMptt91GXV0dAD/+8Y/b3K8gHo+zatUqAEpLSxk+fHjKMoqI6+qAwGHHpwJlwDNH9BsABFMV\nSkTkaGJxy+rqMJVBhwxj6Jub6XakbuHlF15gzd+TPxd96eSTmfrVr7qUKH3FE5aqoENZnpeBvXyU\n5mnfKxGR7kYFLBGRHuBr01v22nn1zRU0NqVmFlSWL4NRgcaktle3OSkZWyRV3n33XR5//HEA8vPz\nufLKK9vs++GHH1JfXw9o/yuRHqgSmGyMOXj191pa9rt6+WAH07JZxwhAm0aKiOustazbG6Gq3iF0\nYGk2ab8P33uP1195JamtfMAArrruOu3ZdAJ2NDjk+T30y/MytLfP7TgiItIJVMASEekBBpaXcvKE\n0UQiURYueTdl4849c0DScWNOKe+u35Gy8UU621133dX6/YUXXojf72+z79KlS1u/1/KBIj3OM0AJ\n8KIx5jfAzcB8a+3hd3qcBOQDi1zIJyKSZHNtlMqgw77mOAMKfHhUXGm37ZWV/O9jjyW15eXnM/um\nm/D5VHz5ovY2xYhb27rvVYZHP6MiIt2RClgiIj3EZRecC8CzC5dgrU3JmGeO6kd2eG9S27w3t6Zk\nbJHO1tzczPPPP996fNFFFx21/8ECVlfa/6qmpoaZM2dy6623uh1FpLu7D1gLfBX4IbAb+OURfX4J\nNAH3pDaaiEiy3Q0Om2uj7KiPUp7nxZuhwkB7NdTX89C99+I4h1akyMjM5IbvfIdevXu7mCw9NUYT\n7A/FKc/3MqrET8Cry5siIt2VfsOLiPQQ554+mYL8XDZv20Hljj0pG/e8iuS18tdE8mmOxlI2vkhn\nWbFiBeFwyz5vxhimTp3aZt94PM7bb78NQN++fRkxYkRKMh7LnXfeyYIFC3jsiLuBRaRjWWvrgLOA\nHwF3AGdZa3cefNwY46dlT6z/ttZWu5NSRATqwnHW741QFXTok+Ml26fLRu0Vcxzm338/wQN7ph50\n+TXXMHjoUJdSpS8nbtnZ4NC/wMvQQj+FWdqbTUSkO9NveRGRHsLn9fLrH9/C4Ioy+hQXpmzc754/\nhucf2Qzelr3rrTeLB5es45+mj0tZBpHOsGbNmtbvBw4cSFlZWZt9u+r+V2PHjqWgoIBf//rXbkcR\n6fastfuB37bxWMQYcyagaQ4i4pqwk2BNdZjKoEOuz0PvrAy3I6U9ay1/efpptm7alNR+1le+wqmn\nn+5SqvSVsJaqeoeirAwq8r0MLNDebCIi3Z1upRER6UFO/dLYlBavAArzshlM8jKCz3/alNIMIp2h\n7rC7aCdNmnTUvm3tf1VbW8tvfvObjo523G644QZqa2u55ZZbXMsgIi2stc3WWr1AdjO33HILHo/n\nM1+zZs1yO5pIkljCsromTFWwZYm7vjm637kjLHvjDVYsW5bUNnzUKC7++tddSpTe9jTG8GZA/3wv\nI4v9GO3NJiLS7amAJSIine6GL/dLOq7zFfH+lhqX0oh0jJycnNbvhwwZctS+be1/tXDhQi3fJyLS\njf3+97+npqaGd955h8GDB7e2n3322S6mEklmrWX93gjbgw5NToLyfK8KAx3g03XreO6ZZ5LaikpK\n+Na3v01Ghma3fVF14Xjrz+foEr/2ZhMR6SFUwBIRkU534SnDCTQm77v1h8UbXEoj0jHGjx/f+n0g\nEGizX1VVFW+88QbQsv/VyJEjWx9bvHgxF110UeeFFBERV2VmZlJUVMSUKVNaXyuOvJlBxG1b6xwq\ngw41TXEGFPjI8Kgw0F779u7lsQcfJJFItLb5/X7m3HQT2YfdBNURYrHuv79wOJZgT6NDRb6XkUV+\n8vwqAIqI9BQqYImISKczxnBeRfKHjDWhPBpDUZcSibTfWWedRXFxMQCVlZWf26epqYnLLruMpqaW\nVcEOL3o5jsNzzz3HFVdc0flhRUTEVcFgkHXr1gHQv3//Y87cFUmVPY0xNu+PsKM+Sv98Lz7Namm3\ncDjMQ/fcQ3PToVVhjTFcO3s2pf36HeWZJ+apxx5j3h/+wJ7duzv83F1BPGGpCjqU5nkZ0MtHaZ72\nvRIR6UlUwBIRkZT4pxkTwAm1HltvFv+zaLWLiUTax+fz8dOf/hSABQsWEIlEkh7fv38/5513HgMH\nDuS0004DSFou5rnnnqOsrIyTTz65te1Xv/oVZ511FhMnTuT5558HWpb1eeCBBzjvvPM4++yzGTt2\nLD/4wQ9ai2JNTU384he/YMqUKZx++ulMnDiRBx98sM3cW7ZsYebMmZx88smcdtpprRdUj3Q8WUaM\nGMGtt95KKBT63HOIiEiLZcuWYa0F4JxzznE5jUiL+kicdXvDVAYdirMzyfHpElF7JRIJnpg/n927\ndiW1z7j4YsZOmNDh4+2truaj995j4/r1+Hy+Dj9/V7CjwSHX76F/npdhhd3z7ygiIm3TrpwiIpIS\nhfnZDM+sZQNZrW0LNof4kYuZRNrr1ltv5d133+Xpp5/mxhtv5I477iAjI4OFCxfyy1/+kosvvpjf\n//73LF68mAsvvJDly5ezdu1a6urq+MEPfsBvf/vb1nO98sor7N27l7feeot//Md/5Morr+SDDz7g\n3//93/nKV77CggUL8Pl8rF69mvHjx7N7925+85vfcN1113HTTTdx++23A3Dffffxne98h6KiIi69\n9NKkvJFIhNmzZzN//nwGDRpEUVERs2bNYvny5Un9vkiWCRMm4DgO99xzT+f/g4ukAWPMTcB3gf9n\nrZ13oO12wB7vOay1v+ykeOKSt99+u/V7LR8oXUE4lmB1dZiqOodsr4fCLF0e6givvPQSqz/+OKlt\n0uTJTJs+vVPGW7JoEdZaTp4yhd6FhZ0yhpv2NsWIW8uQfB9jSvxa3lJEpAfSOxQREUmZm88ezG1v\nHZql0pTVh6V/38a54we6mErkxBljePLJJ5k6dSr3338/o0ePJisrizPOOINHH3209S778847j5df\nfpmf//znfPnLX6agoIAf/vCHXHXVVa3nuvvuu7nrrrtaz+s4DhdccAH3338/0w+76DF27Fj69u3L\niy++yM6dO7nrrruYOHFi6+MHx/zzn//8mQLWXXfdxaxZsxg0aBChUIiGhobPnYH1RbL06dOHZ555\nRgUskUP+AygD/h2Yd6Dt9i/wfAuogNXNvPXWW4D2v5KuIZ6wrKmOUBV0sEBpri4NdYRVH3zAawsX\nJrX1r6jg6uuvx5iOL7wE6+pYuXw5xhimfvWrHX5+tzVGE+wPxRlc6GVksZ+AVzMERUR6Ir1LERGR\nlDl7TAW5r75LY1ZJa9u8t1XAkvRmjGHu3LnMnTv3qP2mTp3K1KlTP/excDjMrl27WvdEWbNmDQDf\n+MY3kgpGBzU2NtLU1MR1112XVLwCqK+vB1r2WzmctZY//elPrFixAmiZZRWLxZKWMDyRLM3Nza3L\nYokIACuBS4D3jmhfA7x4HM/Xf6huJhKJsHLlSgD69evH0KFDXU4kPd36fRG210dpjCQY3NvXKcWV\nnmZHVRVPPfpoUltuXh6zb7qp05b2W/raa8TjcSaedBJ9+vbtlDHc4sQtOxsc+hd4GdrbT1G2Ll+K\niPRUegUQEZGUmjksi6d2HDreGC9kX30zRfnZ7oUScVl1dTWzZ88GwHEcVqxYQWZmZuseW4fbvHkz\nTU1NDBo0iBtvvPEzjx8sOA0ePPgzY1xzzTV4PC13rz564CLL9ddff8JZKisraWhoYPz48V/0ryzS\nnX0DGAf8/Yj2D6y1/+pCHnHZypUriUajgPa/EvdtrYtSWeewpzHGoF4+LcnWARoaGnh43rzW/+fQ\nsu/prLlzO21Zv8aGBpYfWJq0s5YndEvCWqrqHQqzPJTnexnYy+t2JBERcZHm34qICLF4PGVj/cP5\nYzFO6FCDN8BdC1elbHyRrmjAgAF897vfBeD999+nubmZk046ifz8/M/0PbgMVVsXQRcvXvy5j/ft\n25fbbrsNgH379vHSSy+Rl5eXtIzhF83yyiuvHDWLSE9krQ1Za1daa8NuZ5GuQftfSVdR3RRj0/4I\n24MO/fO9+DN1Sai9YrEYj9x3H7X79ye1f/2aaxjcibMt31qyhGg0yuhx4+hfUdFp47hhT2MMbwb0\nz/cxqtivGYIiIj2c3q2IiPRgsXic/7x7Pl+bdRvNodRcZ8v2exmX1ZjUtnh7QkuQiRzwxhtvAG0X\nhY72uOM4vPDCCwQCAb56lL0QnnrqKRzH4eqrryYrK+uEszz//PMAXHzxxW2eQ0Sku2tububuu+/m\nnHPOoaioiLy8PKZNm9a6ZKv2v5KuoCESZ31NmMo6h6LsDHJ9GW5HSnvWWp59+mm2bNqU1H7muecy\n5YwzOm3cUCjE2wfeo3W32VfBcJwmJ0F5vpcxJX68GSpeiYj0dCpgiYj0YJkZGWzatoPqfbW8+sby\nlI37T9OGJx1Hcvvywop1KRtfpCs7WDQ6++yz23zcGPO5j7/22mvU1dUxffp0cnNz2xzjkUceAWDO\nnDknnKW+vp7XXnuN4uJipk2bdtTziIh0V0uXLmXUqFF8//vf54wzzmDlypVs3ryZyy+/nOnTp7Nk\nyRLeeecdAMrKyhg2bJjLiaUnisQSrKmJsC3okOX1aD+hDvLOm2+2LuN30LCRI7nk8ss7fdxwKMTQ\n4cM7dZZXqoVjCXY3OlTkexlR5CfPryKriIiogCUi0uNdNuNcAJ59eWnKxvzSoGJ6O/uS2h5esStl\n44t0VfF4nGXLlpGRkcFZZ531mce3b9/Oli1b6NevH0OGDPnM40fuaxWNRvmXf/mXpD5r167lvffe\nY/To0UyZMgWAe++9l40bN36hLE8//TSRSCRpX61/+7d/o6mp6QT+5iLdXiWw75i9JK28+OKLTJ8+\nnZ07d/L4449zxx13MGTIEEpKSrjlllv42c9+xhVXXEEwGAS03Kq4I56wrKmJUBWMEk9Aaa6KVx1h\n4/r1/PVPf0pqKyou5lvf/jYZGZ1XeIlGo7z5+usATJsxo9PGSbV4wlIVdCjN8zKgl4+yPO17JSIi\nLVTAEhHp4aaeeQp5udms+XQL6zdtS9m4l48pSDrenlnK5l26tic920cffURDQwPjx4//3D2njjYj\nKhwO89xzz1FYWNi6pN+SJUtIJBJJ/Z588kkAZs+e3do2f/58Bg0a9IWyPPbYYwDccMMNAASDQZYu\nXUpOTs7x/nVFegxr7SBr7ffdziEdZ+HChVx++eU4jsPtt9/+mf0EAb73ve8RP2yfUS0fKG7YsC/C\n9nqHunCCigIvHu0n1G779u7lkQceSHqP5ff7mX3zzeQcZQZ8R1i/Zg2NjY1UDBjAiFGjOnWsVNrZ\n4JDr99Avz8uwQp/bcUREpAtRAUtEpIcL+H1cOLVljfZUzsKac84IMqKHzdTI9PG7l9ekbHyRruh4\n97/6vALWmjVrCIfDXHjhhXi9LXet/uEPf2Du3LlJ/T766CMALj+wvM2LL77I2WefTWZm8h3Zx8ry\n4YcfMmDAACZPngzA3XffzY033njsv6SISJqrrq7m2muvxXEcxo4dy09+8pPP7ef1epk4cSKg/a/E\nHZXBKNuCDrsbHQYUeMn0qHjVXpFwmIfvvZfmI2acf3PWLMr69ev08cdPmsT3/+3fuOzqqzHdpBi5\ntylGLGEpz/cytsRPhn5ORUTkMCpgiYgIlx5YRvDlxe8QCkdSMqY3w8PpRclj/a0+m0jUScn4Il3R\nm2++CbRdNHrzzTcxxnzu44MGDSI7O5vi4mKgZVbViBEjGDlyZFK/MWPGAFBcXEx1dTV33nknP/3p\nT79wlnHjxlFUVAS0FMVee+21Y+6pJSLSHdx2223U1dUB8OMf/7jN5cLi8TirVq0CoLS0lOHDh39u\nP5HOsLc5xoZ9EaqCDv1yvQQydfmnvRKJBE8+8gi7du5Map9x8cWMO1CsToXyigoGDh6csvE6U2M0\nwf5QnPICL6OK/QS8+jkVEZFkWvxYREQYNqicCaOH8fHajSx6cwWXfPWzszs6w20zxvDWU1WQ0TJb\nJBEoYN5rq7n1wkkpGV+kq8nOzmbChAmcf/75bT5+wQUXMOpzlowpLCzkySef5F//9V857bTTOOWU\nU/jd7373mX4/+9nP2LRpE2eeeSZFRUXcfffdFBQUfKbfsbLMnz+f2bNnc+qpp1JaWsqTTz7Zbe4E\nFmkPY8w5gG3POay1b3ZQHOlg7777Lo8//jgA+fn5XHnllW32/fDDD6mvrwe0/5WkVmM0wdqaMFVB\nh8KsDPL8nbcnU0/y6oIF/P1AUfqgiSedxHndaC+qVHLilp0NDv3zvQzt7acoW5coRUTks/TqICIi\nAFx2wVf4eO1Gnl24NGUFrP6FuQwy+9hKaWvbs5+GuPXClAwv0uU88cQTR338gw8+OOrjF198cev+\nV23Jzc3lT0dsOn4iWUaMGMGyZcuOeR6RHmgJLQWsE63oWkBXm7uou+66q/X7Cy+8EL/f32bfpUuX\ntn6v5QMlVaJxy+rqluKVP8NDsYoCHeKDlStZtGBBUlu/8nKuvv563cBzAhLWUlXvUJjlobzAy8Be\nXrcjiYhIF6W5uSIiAsB5Z55Cbk42n6zfxKebK1M27s1nVCQdN2aVsOST7SkbX0REpIO9Cbx14M/D\nv3YBMeBvn/P16YHn/hX47Jqe0iU0Nzfz/PPPtx5fdNFFR+1/sIDVlfa/qqmpYebMmdx6661uR5FO\nkLCWNdVhtgejOHEoy1PxqiNs2bSJpx57LKktNzeX2TfddNQitrRtT2OMTA/0z/cxqtivIqCIiLRJ\nBSwREQEgEPBz4dTTAfjry0tTNu60CQPJbd6T1HbP26kroImIiHQka+25R34BVwM+4NfW2ilHfgET\ngLeBMuC37qWXo1mxYgXhcBhoKUpNnTq1zb7xeJy3334bgL59+zJixIiUZDyWO++8kwULFvDYERfj\npXvYsC/K9nqHunCCigIvHhUF2m3f3r3MnzePeCzW2paRmckNc+dSeGAvUPliguE4jU7Lz+iYEj/e\nDP2ciohI21TAEhGRVpfNOBeABYvfIRyOpGzcrw3PSjrekihkZ21TysYXERHpZLfTsjTgHZ/3oLU2\nClwFnAz8OIW55AtYs2ZN6/cDBw6krKyszb5ddf+rsWPHUlBQwK9//Wu3o0gH2x502FYXZVejQ0WB\nl0yPigLtFQqFePCee2hsbExqv/raaxkybJhLqdJbOJZgd5NDRb6XEUV+7c8mIiLHpAKWiIi0Gja4\ngqsvOZ+f3jqbzMzUfZi4+fzxeELBQw0Zmfz25bUpG19ERKSTnQO8Z6112upgrd0NvA98K2Wp5Aup\nq6tr/X7SpElH7dvW/le1tbX85je/6ehox+2GG26gtraWW265xbUM0vH2NcfYsD9CZdChLNdLIFOX\netorHo/z6AMPsGfXrqT28y+4gMmnnupSqvQWT1i2Bx365ngZ2MtHWZ72vRIRkWPTgsgiIpLkhzdf\nl/IxA34vJ+c18rdYQWvbO3u9hKNxAj7dlSciImmvH9B4zF4tfcZ1chY5QTk5Oa3fDxky5Kh929r/\nauHChTz22GP86Ec/6oyI0s0FY038YetzvFa7inrjkG+9nFswgdO857O7LpPegQzyNaOl3ay1/PXp\np/l0bfINdZMmT2b6zJkupUp/Oxsccnwe+ud7GVboczuOiIikCd2WIyIiXcJtF4yFWLT1OO7L4Z7X\nVruYSEREpMO8D/z/7N15dFRVuvfx76lKVSoDVRDCnEBAZBQQQQUEREQEhxbFAScUBSda+zZeu2+3\ntkq3vt5u274iOOKAU+OMIA4oyqiioqA2g4CACYMkIaQy17jfPxIiJQkJmSoJv89atSrnOfuc/VQI\nq6rOc/beAy3LGlBZA8uyWgMnA5sbLCs5Kv369Sv/2eVyVdouIyODFStWAKXrX/Xs2bN83yeffMK5\n555bf0lKs/Vl/lYuWPdXSlZ8xCOz1vL2fWt5ZNZa/CuX8td9D7HH+ok2CbpHuS6sWraMz1atioh1\n6dqVSVdfjaV1xWokuyhIMGxIKVv3yq4pLkVEpJpUwBIRkUahW8dkupjMiNjbW4ujlI2IiEideonS\n2S8WWJZ12q93WpbVGXgLaAEsb9jUpLpGjBhBcnIyAOnp6RW2KSws5MILL6SwsHQtz0OLXoFAgIUL\nF3LxxRfXf7LSrHyZv5U7Nj7F/7z4Pb99exttvX6cIUNbr5/bFm7jL//+nndL/s2WwPZop9rkbfz+\nexa9+WZErFVSElNuvBGHs2FHDf2waRPBYLBB+6wPhf4wOUUhUjwOeibHEufQpUgREak+vWuIiEij\ncduorhHbRa7WvP3ltihlIyIiUmeep7RAlQastCzrC8uynrUs6ynLspYCW4ERwBbgnuilKUfidDq5\n8847AXjvvffw+XwR+3NychgzZgxdunRh6NCiIQHaAAAgAElEQVShANjtv0zntnDhQjp06MDgwYPL\nY3/7298YMWIEAwYMYNGiRUDp9GVPP/00Y8aMYeTIkfTt25cZM2aUF8UKCwuZOXMmQ4YMYdiwYQwY\nMIBnnnmm0rx37NjBeeedx+DBgxk6dCibN1c8yK86ufTo0YPbbruN4mLdZNRQvMFC/rD5af708gZO\n3JFfYZsTd+Rz57838ELOSxSGixo4w+Zjz65dvPTssxhjymOxLhfX33ILLdzuBs1l7549PDV7Nv+8\n7z5CoVCD9l2XAiHD7vwAndwOjmsVS3K8RgmKiMjRUQFLREQajZEndMFTsi8i9vSaPVHKRkREpG6Y\n0quhlwN3AMWUThV4LTAVGA04gBeAM40xhVFKU6rhtttu49JLLyUnJ4epU6eSkZHBnj17eOaZZxg4\ncCCDBg3i9ddfZ+bMmcTExLBmzRo2bdrE559/zowZM7jrrrvKz7VkyRKys7NZtWoVI0aM4JJLLmHD\nhg1MnDiR4uJi3nvvPVauXMlrr73Gww8/zLRp09i1axfnnnsuPXr0YM2aNXz22WdMnz6dadOm8fbb\nbx+Wr8/nY8qUKcyZM4e1a9eyZcsWrr322sPaVTeXBQsW8OijjzJjxoz6/DXLIWbvXMjw7zIrLV4d\nNHBHPsO/z+S9vPcbKLPmJc/r5enHHosoTFuWxeTrr6dDx44Nns8nS5YA0KN374hCeFMSNoZdeQGS\n4mx0csfQpaUj2imJiEgTZB16Z4k0DMuyDIB+9yIih3tu2UYe23LI9BzhEE+f7WZAtw7RS0pERJqc\ng+uUGGMa1UIblmV5gAHACZQWrrYC/zHGVDwnXQOzLCuG0vwuBqYBSUBadfKzLOsS4Lay4wHWAY8Y\nY96s/KiI4w3A3vOG1yDzhmOM4aX0fbyc/jNbC4pw2W2c3MrNDd06May1p7zd6uxc/rklnf94C3E7\n7NzUrRM3dOtUvn/ylxv4W9/j6JLg4s7//MhzO/fSwRXLP/t354y2rSL6HPDRFxSFwvRzJ/C3E7rR\n151Yvm9bQREjl3/DRZ3aMGdgz4jjHt22i+RYB5eltqM4FKLnB2uIs9v4YdzQiHZHm0vQGDaMHVLr\n36VU7bL/PpHZczfS1uuvsm2mx8mt0/rw6j/XN0BmIiIi0hR1WLwaaHzfkyqjsbsiItKoTD69F3O/\nW0fAVXYByGbnoQ9/4IWbVMASEZGmzxjjBVaWPRoVy7KOp7ToFH9IuFp33VmW9SBwO+AHvgQsYCgw\nwrKsfxhj/qeO040ay7K4ukt7ru7S/ojthie3ZHhyywr3lYTC7PMF6JLgAmBLfum0bxd2Sj6sYARQ\nGAxTFAoxMaVtRPEKoCBYOr1YfjBymjFjDO/szea94aX1xOVZuQSNYUDLyOOPNpfiULh6fxRSJ/Lj\n7LQsCFSrbcuCAPlxTXO0joiIiEhFVMASEZFGxW6zMTbV4t2sX2KbAklkHsinbasW0UtMRESk+fMC\n/0dp0coCfg/EVXWQZVnnUFq82g2cYYzZVhbvAXwC/MGyrOXGmA+qk0T7d1bVLPsmJD09nRveeYf2\n06cTCARY16oVMQ4H/++bjbh/tdbO9u3bKXq3O2ldu3L7t1sPO9e+55+HT6fQ67KraD9r1i/xffu4\n+qWX6Hj77QC8c9FF8PVmrv/nLNpfc02NcklPT6cgLY1+/fodE/9OjYH7qz+Sm+io1gis3EQHCSaW\nLbOr9V9NgPcWLuTjsun6DurVty/X3XRTVKbu8+bmcv/ddxMOhfjD3XfTtl27Bs+htkqCYX7y+uni\ncXJCOxcdW2jqQIk04OvIaWi/HfSvKGUicoyymsTAq3JaA0tERBqd3487ASt4yMLoznj+/k79T4Wy\nbds2+vTpQ2pqKhkZGfXen4iISGNijMk0xvzFGHO3MeYvQEE1Dz24sNPkg8WrsvNtASaXbd5Zh6k2\neZ07d2b69OkAfP311xQVFXHSSScdVjACWLWqtFB0+umnV3iuTz75pML97dq14/ay4tX+/ft59913\nadGiBZdeemmNc1lSdqG/slyk7o1pNYDXzuhcrbavjOrMibEn1HNGzceXn39+WPGqfceOXH3ddVFb\nd2r50qWEgkH6DxzYJItXobBhlzdAuwQHXVo6VbwSEZFaUwFLREQaHU+8k4GJkWvYr86Jp8hX9Z2n\ntfHAAw+wefNm9uzZw/bt2+u1LxERkebAsqz2wBBguzFmWQVNlgHpwDDLsto2aHJNxIoVK4DKi0JH\n2h8IBHjnnXdwuVyMHTu20j5eeeUVAoEAl112GXFxlQ+qqyqXRYsWAXD++edXeg6pW7emXcDKfm1Z\n3/XIMxGs69qC1f3acq57fANl1rT9uGULb/z73xGxFm431998M64j/B+pTwUFBaxZXbouyZlnnx2V\nHGprT36ABKeNTm4H3ZOcVR8gIiJSBRWwRETkiAKBIB+uWMO/nnq5Qfv9n3N6Q/iXtRzCcR5mvVu/\no7CWL18OQExMDKecckq99iUiItJMHFf2/HFFO40xpmyfBXRrqKSakoNFo5EjR1a637KsCvcvXbqU\n3Nxczj77bBITEys4utTzzz8PwHXXXVfjXPLy8li6dCnJycmceeaZRzyP1J2iYieXu6/kr5f3YV0l\nRax1XVtw/xV9mZx0FfG26BRfmpKszEzmzZ1LKPTLd40Yh4MpN95IUuvWUctr1bJl+P1+evftS6fU\n1KjlUVPZRUECYUOKx0GfNrHYbU1riioREWmcVMASEZEj8gcC3P/Ic8x/+0O2p+9usH67tmlBN1tO\nRGzxT+GIL5p1affu3ezYsQOAwYMHH/HuZBERESl38CrrXgDLsnpZlrXOsqxvytbAKt93SFspEwqF\n+PTTT7Hb7YwYMeKw/bt27WLHjh107NiRbt0Or/+98MILAFx99dUA+P1+7rjjjog2mzZtYu3atfTu\n3ZshQ4YA8MQTT7Bt27aIdlXl8tprr+Hz+Zg0aRI2W+mlhD/96U8UFhYe1lbqRm5xiB+yfTiLUrjU\nfTUPXNmPh36TRqbHid9ukelx8sgF3Xngyn5c23oyPRyqEVelqLCQpx97jKJf/d1ePnkyXbp2jVJW\nUFxczOqym+nOHDcuannUVKE/zP6iIKkeBz2TY4lz6HKjiIjUjZhoJyAiIo1bQnwcZ48awoL3l/P2\nB8uZccOVDdb3f5/ZjVuW5pUvMOmPT+b55Ru57sx+dd7XypUry38eNWpUnZ9fRESkoViWdQcQW42m\ni4wx39Wyu5Sy531lz+cBA8p+PhfYAvxctq0C1q+sX7+e/Px8TjzxxArXnDrSiKiSkhIWLlxIUlJS\n+ZR+y5YtIxwOR7SbP38+AFOmTCmPzZs3j6lTpx5VLi+++CIA11xzDQBer5fly5fzwAMPVPv1SvUV\nB8JszCoh3evH7bRxfEJ3esb9N3/pdz/L+7UmYLdwhAxDXCfxJ/d4Emzx0U650QsGg8x76imyMzMj\n4uPOP58TBw2KUlalPlu5kpLiYo47/ni6Hndc1Qc0IoGQYXd+gE5uJ91axZIcr0uNIiJSd/SuIiIi\nVbpw3CgWvL+cd5d+yvRrLyHW2TDzmZ/cvR1t3/+RTOcvS2a89H0e19XDrDUHF0gHFbBERKTJ+zPg\nqaKNoXRtqtoWsA4OjT54u/0i4Mqy8y/+1b5gLftqdqq7/lVFBayNGzdSUlLCxRdfjMPhAGD27Nk8\n9NBDEe3Wry+dgnnixIkALF68mJEjRxITE3k5oKpc1q1bR+fOnRlUdqF/zpw5hxXBpG4Ew6aseBXA\nhkXbhNJ/qwRbPIFDRrb4bRaXtJwYrTSbFGMMb86fz49bt0bEB51yCmMawYgny7KIdbma3OgrYwy7\n8gK0irOR4o4hraUj2imJiEgzozG9IiJSpd7Hd6VX9y7kFRTyyadrG7Tvm4a2j9jOj2vH+9/sqPN+\nDo7AcjgcDB8+vM7PLyIi0lCMMa2MMbYqHnZjzAt10F1G2XO7sr63GGMGGmNOMsYcvFLc/ldtpczB\nzx+VFY1WrlyJZVkV7k9LSyM+Pp7k5GSgdFRVjx496NmzZ0S7Pn36AJCcnExmZiYPPvggd95551Hn\ncsIJJ9C6bH2g9evXs3Tp0irX1JKjZ4xhc5aPDG+A4kCYTm4HlqW1hGpr2Ucf8eXnn0fEunXvzqVX\nXtkofr+jx47lL/ffT49evaKdylHZVxjEboMUt5PebVyN4ncpIiLNiwpYIiJSLReOOwOABe8vb9B+\nzx/cjcTirIjYY5/W7VpcOTk5bNy4EYBBgwZp/SsREZHq21X23PEIbQ7uq1YBy7KsSh/33ntvbXJt\ndOLj4+nfvz9nnXVWpfvHjx9PrwouaiclJTF//nyWLFnC0KFD+eabb3jwwQcPa3fXXXcxceJEhg8f\nzqRJk5gzZw4ez+ED9KrKZd68ebhcLk499VTuuece5s+fr4vV9WBHboAMb4DswhCpHid2m37HtfX9\n+vW8t3BhRKx1mzZcc8MNxDgaz4ihuLi4JvV/ylsSIt8fJtXtoHebWBz2ppO7iEhzd++991b6ebqp\nsYwx0c6hQVmWFQvcSOm0Fj0pncZiI/Aq8IQxJnSEw7Es6xLgNn6Z130d8Igx5s2jyMFA6Z1VIiJN\nRUFRMedc9TuKS3y8/uQDpKUe6TpV3Xrqo++Zu/2QopIJ89TYlgzs1rbygyrh9/tp27YteXl51Wof\nExNDeno67du3r7qxiIg0Gge/nBljmt63tEbCsqyfgTZAV2NMeiVtkoAsYDeQZowJ/2q/ndKpCtsC\nbYwxuUfoT9+T5Jj2c0GA/+wrYWeun5QWTuKdh99zfOv+v0Rsz279t4ZKr0nKSE/n0YceIhAIlMfi\n4uK49Y47aKfP9zXmC4bZ6fXTxeOkb1sXndyNpxAojd+Ar2dEbH876F9RykTk2NTUvicdUyOwLMs6\nDvgaeBjoBCwDvgdOBGYDyyzLqnRdMMuyHqS00HUysB74FhgKvG5Z1v/Wb/YiItGVGB/H2NOHALDg\ngxUN2vf1o/vgKM75JWDZ+MdH22p0LqfTyb59+ygoKKCgoID8/Hwuuuii8v2rV68u33fwoeKViIhI\nxYwxOZR+r0oBzq6gyTigA/DxkYpXIsc6b0mIH7J8pHsDtIl3VFi8kqOTe+AAzz7+eETxymazMXna\nNBWvaiEUNmTkBWiXEENnj0PFKxERqVfH2ieiRygddfXfQGdjzIXGmDOA44AVwPCyfYexLOsc4HZK\n7yw8wRgz0hgzAjgB2AP8wbKsprXapojIUbpw/CgA3v14NT6/v8H6tdvtnJMaGdsWSuKnrOqNovq1\n2NhY4uPjiY+PJyEhgTVr1gDgdrsZOnRo+b74+HicTmdt0xcREWnqqro7869lz89ZllU+151lWb2B\n5wAD3FdPuYk0eSXBMBuzSsjwBkh02mgVZ492Sk2er6SEZx5/nDyvNyI+cdKkJrfOVGOzJz9IvMNG\nJ7eD41vHRjsdERFp5o61AtbVwFnGmH8dOrWFMSYLmFq2eWElx95V9jzZGFN+278xZgswuWzz8JVw\nRUSakT7Hd6VHt8548wpY/tnXDdr3788dgK3kkIKVPYb/fW9Trc+7Y8cO9uzZA8DQoUOb5HzAIiIi\ntWVZVm/Lsl469AF4KC1ePXxI/EXLspIPPdYYsxK4l9JpAr+zLOtTy7I+pXS2i9bA3caY1Q37ikSa\nhlDYsCHTR4Y3gAHaJVQ6KYxUUzgc5qXnnmPPrl0R8dPPPJMhw4dHKavmYX9RkEA4TIo7hj5tXFqj\nTURE6t0xVcAyxuQYY5ZXsu9HIBfo/et9lmW1B4YA240xyyo4fBml87oPsyzr6BdkERFpIizLKh+F\nteCD5Q3ad4IrlqEtiyJiX+cnkFNQUqvzrlq1qvznkSNH1upcIiIiTVg74Arg8kMeTkpHT/2mbPuK\nskf8rw82xvwVmAB8TuksFX2B1cAFxpj7GyB/kSZpc7aP3V4/Bb4wKW6HbqaqA4sXLGDj999HxPr2\n7895F1Z2v7JUR5E/THZRkFSPg15tXMQ5jqlLiiIiEiV6tyljWZYDSAC8Few+ruz544qONaWrDH9M\n6d2J3eolQRGRRmLcqKEkJ7Wka2onQqFw1QfUoT+e3x/8xeXbxuHigXe+rdU5Dy1gjRgxolbnEhER\naaqMMcuNMTZjjP0Ij4P70ys5xyJjzOnGGI8xpqUxZpQxZnFDvxaRpmLnAT8Z3gCZhSFSPQ6NZqkD\nn69ezYqPIy/ddEpN5copU7DZdAmspoJhw678AJ3cTrq1iiU5XiMFRUSkYegd5xfnAg7gwwr2HVx5\nZS9A2bzu8ym9G3FS2TSCew9pu6Z+UxURiZ7EhHjeef5fxNgbfm7+Dklu+sUe4HsTVx5bmRVLYYmf\nBFfN1qo6WMByuVyccsopdZKniIiIiMiRZBYG+THHxy5vgI5uB7ExKq7U1pbNm3nrlVciYm6Ph+tv\nvpnYWK3VVFPGGDK8AVrF2Uhxx5DW0hHtlERE5BjSZAtYlmXdAVTnE8giY8x3VZwrEXgI8AEPVNAk\npex5X9nzecCAsp/PBbYAP5dtpyIi0sxFo3h10F2/6cdlb/0M9tIvTuHYRP6xaB0zLz31qM+VmZnJ\nli1bADj55JNxOmtWBBMRERERqa58X4jNWSWkewMkJ9hJdKp4VVv79u7l+blzCYd/mSHC6XRy/c03\n42nZMoqZNX37CoPYbZDidtKrjUvTXIqISINqsgUs4M+ULip8JIbStamOWMACHgS6AvcaY7ZVsD9U\n9nzwU+Ui4Mqy8y/+1b5gFX2JiEgtdGvfiuPtG9hK+/LYkt0Wf/YHiHUe3d2Aq1f/sp58Y50+MCsr\niylTptCtWzceeeSRaKcjIiIiIrXgC4bZmOUj3Rsg3mEjKa4pX5ZpHAry83nm8ccpKf5lqnHLsrji\n2mtJ6dw5ipkdLuOnn/jmq684/cwzadmqVbTTqZK3JES+L0z3JCe928TitKt4JSIiDavJ3uZjjGlV\nNgf7kR52Y8wLRzqPZVk3ATcCnwH/W0mzjLLndmV9bzHGDDTGnGSM2Vq2r/2v2lbJsqxKH/fee291\nTyMicsz58/hecMjdlaH4JP71zjdHfZ6msP7Vgw8+yHvvvceLL74Y7VRERBqde++9t9LP0yIijU0o\nbMqKV37CBtonqnhVW8FAgOeeeor92dkR8XMnTKDfiSdGKavKLf3gA1Z+8gmrV6yIdipV8gXD/FwY\nINXjoHvrWNyx0ZuFQ0REjl1NtoBVFyzLugp4DPgB+I0xxl9J011lzx2PcLqD+6pdwDLGVPpQAUtE\npHIndE6mi7U/IrboJ4M/EDiq8xwsYNntdk477bQ6y68u9e3bF4/Hw/333x/tVEREGp1777230s/T\nIiKNzZb9PjK8AfJKwqS4HSq215IxhtdefpmdP/4YET9l2DBGjRkTpawqt3fPHv7z7bfEOBycPnp0\ntNM5olDYkJEXoF1CDJ09Djq5te6ViIhExzFbwLIs6yJgHrAXGG+MyTlC8y2UThc41rKsw35nlmXZ\ngbMonWqwoikIRUSkjv1x7HFwyAXKYEIyj7y3vtrH5+fns359afsBAwaQmJh4WJtZs2bxv/9b2eDc\nhnHNNddw4MABbrnllqjmISIiIiI191Oun5+8ATILA3T2OIixqXhVW0vff5+vv/wyIta9Z08mTprU\nKIuDnyxZAsCpw4bRwu2OcjZHtic/SLzDRie3g+NbV2f5eRERkfpxTBawykZevQbsAUYZY3YeqX1Z\ncWsZkAKcXUGTcUAH4GNjTG7dZisiIhU5uVtbUsKlU4UYewlWylJea/0qJ62dwaiv/sh92/6NN1hY\n6fGff/55+SLPFU0fWFxczH333ceQIUPq5wWIiIiIyDEhuzDIthwfu3IDdEh0EBtzTF6KqVPr1q7l\ng8WLI2Jt2rXjmmnTiIlpfFMzZmdlsW7tWmw2W6McHXao/UVBAuEwKe4YerdxYVexVUREoqjxvavX\nM8uybgHmAD8Bo40xO6p56F+B0cBzlmWNMsZsLjtfb+A5Skdo3VcPKYuISCX+eFZXpn/1A7Yuixn1\nnyyump9By4IAuYkOXjsjkwsOfMs/ek3llBbHH3bsxo0by38eNmzYYfufeOIJ0tLSGDVqVH2+BBER\nERFpxgp8ITZllZCeG6B1vJ0WWkeo1n7asYNXXohc7jw+IYGpN99MfHx8lLI6smUffYQxhsGnnkpS\n69bRTqdSRf4w2UVBuiU56ZXsIt6hYquIiETXMVXAsizrf4D/V7b5GTDDsqwWHP57yDLG/P7QgDFm\npWVZ9wL3At9ZlvVV2a5TAQu42xizur5yFxGRw9na5xPTZREzX93EiTvyy+NtvX5++/Y2hn+7jzuu\nfIoH+9xwWBGrpKQEAMuy6NOnT8S+7du3M3PmTN599936fxEiIiIi0iz5Q4YNWT7S8wLExdhoHX9M\nXYKpFzn79/PsE08QDAbLY3a7nWtvuIHktm2jmFnlvLm5fLVmDZZlMfrsiib1aRyCYcOu/ACd3E66\ntoolOUF/ryIiEn3H2q0UN1I6UsoAlwPTgcllPx98XAFcUNHBxpi/AhOAz4ETgL7AauACY8z99Z28\niIj8whss5A+bnz6seHWoE3fk8z8vb+CPm585bDrBQYMGlf986DQjhYWFXH755fz+97/ntNNOO+yc\nf/vb3xgxYgQDBgxg0aJFQOkC0k8//TRjxoxh5MiR9O3blxkzZlBYWFh+zpkzZzJkyBCGDRvGgAED\neOaZZyp9bTt27OC8885j8ODBDB06lM2bN9cojx49enDbbbdRXFxcaV8iIiIiUvdCYcPGzBIyvH6C\nIWjfQsWA2iouLuaZxx6jID/ys/+lV17JcccfPuNCY7F86VJCwSD9Bw6kbbt20U6nQsYYMrwBWrls\ndHLH0LWlI9opiYiIAMdYAcsY09UYYy972A552H8V73aEcywyxpxujPEYY1oaY0YZYxZX1l5E5Fix\nLzuHL9dvaLD+Zu9cyPDvMistXh00cEc+w77LZM7OhRHxs846izPOOANjDC+99BKZmZm8++67DBky\nhJ49e3L33Xcfdq4lS5aQnZ3NqlWrGDFiBJdccgkbNmxg4sSJFBcX895777Fy5Upee+01Hn74YaZN\nm8auXbs499xz6dGjB2vWrOGzzz5j+vTpTJs2jbfffvuwPnw+H1OmTGHOnDmsXbuWLVu2cO2119Yo\njwULFvDoo48yY8aMo/8Fi4iIiEiNbcvxsysvQG5JmFSPA5uldYRqIxQK8eIzz/Dz3r0R8TPPPpvB\njXjN2oKCAtasLp2spzGPvtpXGMRuQYrHSe82Liz9vYqISCNxTBWwRESkfuxI38Nvrp3BX/7xBIFA\nsOoD6sDSA99y6bL0arW9bNlPfHTg28Pi77zzDrfddhtz584lLS2NmTNncscdd/DCCy9U+KVtzpw5\n/O53vwNKpx4MBAKMHz+eG2+8kVtvvRWn0wlA3759adeuHYsXL+aqq65i1qxZXH755eXnOf300wF4\n8803D+tj1qxZXHvttaSlpVFcXEx+fv5hI7COJo+2bdvyxhtvVOv3JCIiIiK1l+H1szPXz96CAJ09\nDmJsKgbU1sI33uCHQ9awBeg/cCDjzj8/ShlVz6ply/D7/fTu25eU1NRop1OhPF+IfF9pobVXcixO\nu/5eRUSk8dAYdhERqbW01A6kpXZk+0+7WfXFOkYPP7ne+8yzArQsCFSrbcuCAHnW4W3j4+N5+OGH\nefjhh6s8R0lJCXv37qVbt9JBuhvLvkBffvnlnF3B3ZQFBQUUFhZy1VVXMWDAgMjc8/IA8Hq9EXFj\nDK+//jpffPEFUDrSKhgMMnjw4BrnUVRUhDGmytcnIiIiIrWXXRRk634fGd4AHRMduGJ033BtrVq2\njE9XrIiIdU5L44prrsFma7y/35LiYlYvXw7AmePGRTeZSviCYfYWBOjicdK9dSwelz3aKYmIiERo\nvO/0IiLSZFiWxYXjRgGw4IPlDdKn2zjITaze3Oy5iQ7cpnbzuGdmZjJlyhQAAoEAX3zxBTExMdx5\n552Htd2+fTuFhYWkpaUxderUw/YfLDp17dr1sD4mTZpU/kX8hRdeAODqq6+uUR7p6enk5+cf1o+I\niIiI1L0Cf5hNWSWkewMkuey0iFUxoLY2fv89C381m0CrpCSm3HgjjrJZBxorh9PJxEmTGHLaaXQ9\n7rhop3OYsDFk5AVoFx9DZ4+DTm6teyUiIo2PClgiIlInxo8eRqzTwZpv/sPun7Pqvb8xrQbw2hmd\nq9X21TO6cFarE2vVX+fOnZk+fToAX3/9NUVFRZx00km43e7D2q5atQr4ZarAX/vkk08q3N+uXTtu\nv/12APbv38+7775LixYtuPTSS2uUx5IlS46Yh4iIiIjUjUDIsDGzhAxvAKfdRnKCJryprfSdO3nx\nmWciZhOIjY3luptuwu3xRDGz6rHb7Zx08slccuWV0U6lQnvyg8Q7bHTyODi+dWy00xEREamQClgi\nIlInPC0SObNs6sCFS1ZU0br2bk27gNX927K+a4sjtlvXtQWf9W/LrWkX1FnfK8qmMKmsMHSk/YFA\ngHfeeQeXy8XYsWMr7eOVV14hEAhw2WWXERcXV6M8Fi1aBMD5jXxtABEREZGmLGwMG7NKyMjz4w9B\nxxYqXtXW/uxsnnn8cfx+f3nMsiyuuu46OqakRDGz5mF/URB/KEyKO4bebVzYtU6biIg0UipgiYhI\nnblw/BkALPpwJcFgsF778sQk8I9eU3ngyr6sq6SIta5rC2Ze0oO/97wed0x8nfV9sHA0cuTISvdb\nllXh/qVLl5Kbm8vZZ59NYmJipX08//zzAFx33XU1yiMvL4+lS5eSnJzMmWeeWfmLEREREZFa2Zbj\nJ8MbILc4TGePA5ulYkBtFBYUMHfOHAry8yPiF112GX369YtSVs1HkT/M/uIgqR4HvZJdxDt0aVBE\nRBovvUuJiEidGdDneLqmdmT/AS+rvv2O3B4AACAASURBVFxf7/2d0uJ4HuxzA/+4uj+zJxxPpseJ\n326R6XHy0DlduOei7gReySe0taTO+gyFQnz66afY7XZGjBhx2P5du3axY8cOOnbsSLdu3Q7b/+t1\nrfx+P3fccUdEm02bNrF27Vp69+7NkCFDAHjiiSfYtm1btfN47bXX8Pl8EWtq/elPf6KwsLCGr1xE\nREREfm1XXoCdB/zszQ+Q4nYQo5EstRLw+3n2ySfJysyMiI8eO5Zhldw8JtUXDBt25Qfo2MJB11ax\nmupSREQaPRWwRESkzliWxYTxowBY8P7yBunzlBbH8/bAvxB/+hhu+91gJtw1mBtv6s8Kk0h4dh62\nHUEee/51wuFwnfS3fv168vPz6devX4XrTh1pVFRJSQkLFy4kKSmpfFq/ZcuWHZbb/PnzAZgyZUp5\nbN68eaSlpVU7jxdffBGAa665BgCv18vy5ctJSEg4mpcrIiIiIpXIKQ6ydb+PDG+ADi0cxGkkS62E\nw2H+/fzz7Pzxx4j4wMGDGf+b30Qpq+bDGEOGN0Arl41ObgddWzqinZKIiEiV9OlKRETq1DmjT8Pp\ncLDmm/+wZ19Wg/TpiUngzu5XsPzkv/PN4H/xbLvbMIuLsYpLF3zevO0nlq76qk76qu76VxUVsDZu\n3EhJSQnnnHMODkfpF8bZs2dzww03RLRbv7509NrEiRMBWLx4MSNHjiQm5pc7JKvKY926dXTu3JlB\ngwYBMGfOHKZOnVq9FykiIiIiR1QUCLMpy0e6109Llx13rD3aKTV5ixcs4Lt16yJixx1/PJOuvrp8\nRgGpuX2FQewWpHic9G7jwtJUlyIi0gToE4CIiNSplu5ERg8fjDGGhUtWRiWH3sd3ZczwkyNiT7z4\nZp2sy7VyZelrqqxwtHLlSizLqnB/Wloa8fHxJCcnA6Wjqnr06EHPnj0j2vXp0weA5ORkMjMzefDB\nB7nzzjuPKo8TTjiB1q1bA6UFsaVLlx5xPS0RERERqZ5AyLAhs4T03AAxlo02moat1lYtW8aKjz+O\niLXr0IFrb7yRGIdGCtVWni9Evi9MisdBr+RYnHYVr0REpGlQAUtEROrcheNGAfD95m1HbliPbpp8\nMfZD7tTM2LOvTgpq8fHx9O/fn7POOqvS/ePHj6dXr16H7UtKSmL+/PksWbKEoUOH8s033/Dggw8e\n1u6uu+5i4sSJDB8+nEmTJjFnzhw8Hs9R5TFv3jxcLhennnoq99xzD/Pnz9ddliIiIiK1ZIxhU1YJ\nu7wBfCFDJ7eKV7X13bp1LHzjjYhYC7ebqbfcQnx8fJSyaj58wTB7CwKkehx0bx2Lx6XRgiIi0nRY\nxpho53DMsSzLQOkHXxGR5sgYw4YfttO3Z7eoFk0emD2Pt95fVr7dupWHt595EJcrNmo5iYhIwzj4\n/mOMUfW+idD3JGkKtu338UO2j70FQbq2dOJo4JEst+7/S8T27NZ/a9D+69qOH3/kiUceIRgIlMdi\nY2O5ZcYMUlJTo5hZ8xA2hu0H/CTH2Tk+OZbebVzRTkmEAV/PiNj+dtC/opSJyLGpqX1P0ggsERGp\nc5ZlcUKv46I+4mfqFRcQG+ss395/wMv8hR9GMSMRERERaar25AfYccDPnvwAqW5Hgxevmpusfft4\n9oknIopXNpuNydOmNbnild/vj3YKFdqTHyTeYaOTx8HxrXUTn4iIND0qYImISLPVpnUrJv0mcoq9\nF954D29+QZQyEhEREZGmKLc4xJZsH+neAO0THcQ5dDmlNvLz85n76KMUFRZGxC++/HJ6la0H25Q8\n+8QTPD5rFtmZmdFOpdz+oiC+YJgUdwy927iIsangKiIiTY8+cYmISLN2zSXn4k5MKN8uKCzi+dfe\njWJGIiIiItKUFAfCbMwq4SevH3esXWsI1ZLf7+fZxx9nf3Z2RPys8eM59bTTopRVzaXv3MnWzZvJ\n+Okn4hMTo50OAEWBMPuLg3T2OOiZ7CJeBVcREWmi9A4mIiLNWovEBK655NyI2GvvfMS+7JwoZSQi\nIiIiTUUwZNiQWUK6N4DdsmiXGBPtlJq0cDjMS88+S/rOnRHxwUOGcPZ550UnqVpa+sEHAAwbOZL4\n+PgoZwPBsGFXXoCOLRyktXLSJkF/syIi0nSpgCUiIs3epb85i7atW5Vv+/wB5r60IIoZiYiIiEhj\nZ4xhc7aPjLwAxYEwKW5HtFNq0owxvP3662z47ruI+PG9enHJFVdEff3cmti7Zw8bvvuOGIeD00eP\njnY6GFNavGrpstHJ7aBbK2fVB4mIiDRiKmCJiEiz54p1Mu3KCRGxd5auYmfGnihlJCIiIiKN3fYD\nftK9AfYXhejscWJrggWWxmT50qV8umJFRKxDp05cO20aMTFNc5TQJ0uWAHDqsGG0cLujnA1kFgax\nASluJ73buJpkUVBERORQKmCJiMgx4byzRtAlpUP5djhseOz5N6OYkYiIiIg0Vj/nB9h+wM/uPD8p\nLRw47CoE1Ma6tWtZvCByBgRPy5ZMveUWXHFxUcqqdrKzsli3di02m41RY8ZEOx3yfCHyfGFSPA56\nt4nFqb9ZERFpBlTAEhGRY0KM3c4tkydGxJZ9tpYNP/wYpYxEREREpDHKLQnxQ7aPDG+AtgkO4p26\ndFIbP27dyvwXXoiIuVwupk2fTstWrSo5qvFb9tFHGGMYdMopJLVuHdVcfMEwewsCpHocdG8di8dl\nj2o+IiIidUWfwkRE5JhxxmmD6dOja0RsznOvY4yJUkYiIiIi0piUBMJszCwh3Rsg0WmjVZwKAbWx\nb+9ennviCULBYHnMbrdzzQ030KFTpyhmVjve3Fy+WrMGy7IYffbZUc0lXLbuVbv4GFI9Dq3VJiIi\nzYoKWCIi0mCMMeQXFEatf8uy+O21l0bE1n63iTXf/CdKGYmIiIhIYxEMGzZklZCRFwCgXULTXJep\nscjzepn76KMUFxdHxC+96ip69OoVpazqxvKlSwkFg/QfOJC27dpFNZc9+UFcMTY6uh0c3zo2qrmI\niIjUNRWwRESkQWzYsp1LbvwT9zz0VFTzOPnEPgw56YSI2KPzXiccDkcpIxERERGJNmMMP2T72OUN\nUOgPk+J2YFlaQ6imfCUlPPPYYxzIyYmIjzv/fAafemqUsqobBQUFrFm9GiDqo69yioP4gmFSPDH0\naesixqa/WRERaV5UwBIRkQbRoW0yu3/O5NOvvmVfdk7VB9Sj6ddeErH9w48/sXTVl1HKRkRERESi\nbWdugHRvgKzCEKluB3YVAmosFArx4jPPsCsjIyJ+6mmnMWbcuChlVXc2b9iA3++nd9++pKSmRi2P\nokCYrMIgnT0OeiW7iHfoEp+IiDQ/encTEZEGkdTSzaghJxEOGxZ9uDKqufTqnsZZIyPv/Hz8hTcJ\nBIKVHCEiIiIizdW+giDbc3zszvPTye0gNkaXSmrKGMNbr7zCpg0bIuK9+vZl4qRJzWJU2+BTT+X2\nP/+Z8y68MGo5BMOG3XkBOrkdpLVy0kbTXYqISDOlT2UiItJgJow/A4CFS1YQCkV3yr6bJ0/Ebv9l\nUe5dezN5871PopiRiIiIiDS0PF+IzdklpHsDJMfHkODUZZLa+PiDD1jz6acRsZTUVCZff33EZ++m\nrmNKCu07doxK38YYduUF8LhsdHI76NbKGZU8REREGoI+mYmISIM5eUBvOrVvw76sHNZ8831Uc0nt\n2I4JZ4+MiD318gJyvflRykhEREREGlJJMMzGTB8ZuQHiHTaS4jSKpTbWfvEF77/zTkSsVVIS199y\nC7EuV5Syan4yC4PYgBS3k17Jsc1iVJuIiEhlVMASEZEGY7PZmDBuFAAL3l8e1VwApl4xgYS4X75M\n5xcU8cRLb0UxIxERERFpCKGwKS1e5fkxQPtEFa9qY8vmzbz64osRsbi4OKZNn47b44lSVs1Pni9E\nni9MisdBrzaxmu5SRESaPb3TiYhIgzpvzHDsdjurv1xPZnZOVHNJTmrJ9ZdfEBFb8P4ytmxPj1JG\nIiIiItIQftjvY1een/ySMCluh0ax1MKeXbt4/qmnCId/mSLcHhPDlJtuol2HDlHMrHnxBcPszQ+Q\n4nHQPSmWlq7mMyWjiIhIZVTAEhGRBpWc1JLThwwkFA7zzkerop0Oky4YS+eO7cq3w2HDQ0++jDEm\nilmJiIiISH3ZmesnPTfAvoIgqR4HdpuKVzW1Pzubp+bMoaSkJCJ++eTJHHf88VHKqvkJl6171TYh\nhlSPgxSPI9opiYiINAgVsEREpMFdOH4UAAuXrCQUCh+5cT1zOGL4/Q1XRMS++X4zn3y6NkoZiYiI\niEh9ySoM8mOOj13eAJ3cDk3BVgv5eXk8OXs2+Xl5EfFzJ0xg4ODBUcqqedqTH8QVY6OT20GP1rHR\nTkdERKTB6JOaiIg0uFNO7EvHdsnszczmi3X/iXY6nHbyAIYO6hcRm/X0K5T4/FHKSERERETqWoEv\nxOasEtJzA7SOt5Po1BRsNVVSXMzcRx9lf1ZWRHzEGWdwxllnRSmr5imnOIgvGCbFE0PvNi5iNGJQ\nRESOISpgiYhIg7PZbEwYNwqAtz9YEd1kAMuymHHDFdjtv1zE2JuZzUtvvh/FrERERESkrviCYTZk\n+fjJGyDOYaN1fEy0U2qygoEAzz31FLszMiLiA08+md9MnKj1xOpQUSBMVmGQzh4HPZNdJDh1GU9E\nRI4teucTEZGoOP+sEdw8eSJ33HxVtFMBIC21I5edPyYiNu/1xfyctT9KGYmIiIhIXQiFDRuzfGR4\n/YTC0D5RxauaCofDvDxvHtt++CEi3rNPHyZdfTU2my4z1ZVg2LA7L0DHFg66tHLSNkF/tyIicuzR\nJwsREYmK5KSWXDfpN7Rp3SraqZSbesUFtPK0KN/2+fzMefa1KGYkIiIiIrW1db+PXXkBckvCpHoc\n2DRCqEaMMbz16qt8t25dRLxzWhrXTJ1KTEzzKrAYY/hu3TqCgUBU+t6dF8DjspHicdCtlbPBcxAR\nEWkMVMASEREp0yIxgZuvuTgitmTFGtZv2BKljERERESkNtK9fn7yBvi5IEBnj0PrB9XCh+++y+er\nVkXE2rRrx/W33EKsyxWlrOrPj1u38vzcuTz8979jjGnQvjMLQwCkuJ30So5V0VVERI5ZKmCJiIgc\n4jdnjaTncV0iYv984iVCoXCUMhIRERGRmsguCrJ1v48Mb4COiQ5cMboEUlOfrVzJh++9FxHztGzJ\njbfeSmJiYpSyql8ff/ABAP1POqlB1/XK84Xw+kKkehz0ahNLrP5uRUTkGKZ3QRERaTLWr1/Pqaee\nSlJSEjabrfwRHx/PiSeeyD333FPpsW+//TYdOnSIOK5169aMHj064o5Ku93G7TdeGXHsDz/+xDsf\nray31yUiIiIidavAH2ZTVgkZ3gBJcXZaxNqjnVKT9e033/DWq69GxOLi47nht7+lVVJSlLKqX+k7\nd7Jl82ZiY2MZfvrpDdavLxhmb36AVI+D7kmxtHTp71ZERI5tKmCJiEiTceKJJ/LFF1+wb98+evfu\nDUBiYiJ79uxh/fr1zJw5s9JjJ0yYwN69exk9ejTx8fE8/fTTZGZm8sknnxx2R+XAE3oy9vRTI2KP\nPf8G+QWFdf+iRERERKRO+UOGDZmlxatYu43k+Oa1NlND2rJ5My/Pmxdxw5fD4WDqLbfQvmPHKGZW\nvz5esgSAYSNHEp+Q0CB9ho1hV16AtgkxpHocpHgcDdKviIhIY6YCloiINDkOh4N+/foBUFxcXO1p\nS4qLi9m+fTsvv/wy1113HXZ75Xc03nrdZcTG/rJY8gFvPk/PX1S7xEVERESkXoWNYVNWCbu8fgIh\n6NBCxauaykhPZ96TTxIKBstjNpuNyVOnktatWxQzq18/79nDf779lpiYGEaOHt1g/e7JD+KKsdHJ\n7aBH69gG61dERKQxUwFLRESapK5duwIQDodJT0+v1jH33HMPEyZM4IILLqiybfs2rbnmknMjYq8u\n+oidGXuOPlkRERERaRBb9/vJ8AbILQmT6nFga8C1i5qTrMxMnp4zB5/PFxG/7Kqr6FN2I1lzdXD0\n1amnnYbb42mQPnOKg/iCYVI8MfRu4yLGpr9bERERUAFLRESaqLS0NACMMezYsaPK9uvWreOtt97i\nvvvuq3YfV088h/ZtWpdvh0Ih/m/u/KPOVURERETq3y5vgJ9y/ewtKF1DSEWAmsnzenlq9mwKCgoi\n4udfdBGDhwyJUlYNY392NuvWrsVmszFqzJgG6bM4ECarMEiqx0HPZBcJTl2qExEROUjviiIi0iQd\nHIEFVFnACoVCTJs2jdmzZxMfH1/tPlyxTn43dVJE7LO137Hqi/VHl6yIiIiI1Kv9RUG25vhI9wbo\nkOjAFaPLHTVRXFTEU3PmkLN/f0R81JgxDVbQiaZPPvwQYwyDTjmFpNatqz6gloLh0nWvOrZwkNbK\nSdsETXkpIiJyKH2iExGRJungCCyouoD18MMP06NHD8aPH3/U/Zw5/GRO6tcrIvbg4y9SVFxy1OcS\nERERkbpX6A+zKauE9Fw/rVx23LGVr3MqlQv4/Tz7xBPs3b07Ij54yBDOu/DCKGXVcLy5uXy1Zg2W\nZTH67LPrvT9jDLvzAnhcNlI8Drq1clZ9kIiIyDFGBSwREWk0dmbs4YHZ83jtnaVVtu3cufMvx+3c\nWWm7HTt2MGvWLGbNmlWjnCzL4vYbr8R2yBQ0ezOzefLFt2p0PhERERGpO4GQYUNmCRneIA67jTYa\nwVIjoVCIF599lu3btkXEe59wApdeeSXWMbCW2PKlSwkFg/QfOJC27drVe3+ZhSEMhk5uB72SY7Ve\nm4iISAVUwBIRkUZj195M3np/Ga8sLJ2640hcLhcdOnQAjjwC66abbmLmzJm0adOmxnn16NaZyydE\n3oX5yqIP2bil6rW3RERERKR+hI1hY1YJu/L8+EKGji1UvKoJYwxvzJ/Phu++i4indevG5KlTsduP\njRFtCYmJuOLiGmT0Vb4vhNcXorPHSe9kF7Ga8lJERKRCeocUEZFGY+ig/rRNTiJjzz7WfrupyvYH\n18GqrID14osvEggEmDJlSq1zu/Gqi+jYLrl8Oxw23P/IswRDoVqfW0RERESO3o85fnZ5A+QUh0l1\nOzSCpYbeX7SILz/7LCLWvkMHrr/lFpzOY2dauzHjxnHPAw+Qkppar/34gmH25AdI8Tg4LslJy7hj\no0AoIiJSEypgiYhIo2G325hw9kgAFnywvMr2BwtYmZmZFBcXR+zLzs7mzjvv5KmnnqqT3OJcsfxx\n+jURsS3b05n/9pI6Ob+IiIiIVN/uvAA7D/jZkx8g1e3AYVfxqiZWLVvGx0siP8+2SkrihltvJT4+\nPkpZRU99F+zCxrArL0CbhBhS3Q5SPcdOgVBERKQmVMASEZFG5fyxI7HZLJZ9tpYD3rwjtk1LSyv/\n+dejsP7rv/6Lm2++me7du9dZbsMG9+fsUUMjYk++tIBdezPrrA8RERERObIDxSG27veR7g3QPtFB\nnEOXNmrim6++4u3XX4+IxSckMO23v8XTsmWUsmre9uYHccXY6OR20DM5NtrpiIiINHr6lCciIo1K\n+zatGTZ4AMFgiMVLVx+x7cERWMaYiALWkiVL+P777/nDH/5Q6bFFRUUsWrSIgQMH8umnn1Y7vxk3\nXIE7MaF82+fz8/dHn69yzS4RERERqb2iQJiNWSX85PXjcdnxuDT9Wk1s3riR+c8/HxFzxsYybfp0\n2rVvH6Wsmrec4iAlwTAp7hh6t3ERY9OoQRERkaqogCUiIo3OheNHAfD2+8uPWBg6WMCCX0ZgFRYW\nMn36dObOnVvhgtOZmZmMHTuWyZMn88orr/Dtt98SOop1rJJauvnd1EkRsTXf/IcPln9e7XOIiIiI\nyNELhgwbM0vI8AaIsSzaJsREO6UmKX3nTp6fO5dwOFwes9vtXDttGp0PmeFA6k5xIExWYZBUj4Oe\nbVwkOnU5TkREpDr0jikiIo3OsMH96da5E5dPOJui4hLC4TAlPj8+fyCi3aFTCO7cuROAu+++m3PO\nOYdTTjmlwnO3bduWDz/8kDfeeIOxY8fWKL/zzxrBoP69ImL/evLf5OYV1Oh8IiIijYFlWbGWZd1m\nWdYXlmXlWpaVbVnWSsuypluWVeUwF8uyLrEsa5VlWXlljxWWZU1siNyl+TPGsCnbR0ZegOJAmE5u\nR7RTapL2/fwzcx99FL/PFxGfNHkyPfv0iVJWzVswXLruVYcWDtJaOlV4FREROQoqYImISKMTY7fz\n9D/vxGC47OY/M3zCNC6+4Y98sOwzSnz+8napqanYbKVvZTt27ODrr7/mrbfe4oEHHqjX/CzL4s+3\nTsHp+OXCSW5ePrOenl+v/YqIiNQXy7KOA74GHgY6AcuA74ETgdnAMsuyKr3qalnWg8CrwMnAeuBb\nYCjwumVZ/1u/2cux4McDfjK8fvYXhejscWKzNP3a0co9cIC5c+ZQVFgYEZ9wySWcdPLJUcqqeTPG\nsDsvgNtlI8XtoFuSM9opiYiINCkqYImISKNTXOLjD/fP5h+Pvci+rBwCwSD7snK4b9az/P7ef1Fc\nUnrHaExMDCkpKQBs2bKFadOm8cgjj5CQkHCk09eJzp3aM/WKCyJii5eu5sv1G+q9bxERkXrwCNAT\n+G+gszHmQmPMGcBxwApgeNm+w1iWdQ5wO7AbOMEYM9IYMwI4AdgD/MGyrHEN8BqkmdqbH2DHAT+7\n8wKkuB047CpeHa2CggKemjOHAzk5EfEx48Yx4owzopRV85dVFMJgSHE76NUmVoVXERGRo6QCloiI\nNColPj8zZv4fa7/dVOH+td9u4vaZD5ePxDq4DtaGDRvo3r07559/foPletVF4zmuS0pE7IHZ8yJG\niYmIiDQRVwNnGWP+ZYwpXxjHGJMFTC3bvLCSY+8qe55sjNl2yLFbgMllm3fWcb5yjMgtCbEl20e6\nN0C7RAfxDl3GOFrFxcXMnT2bfXv3RsSHnHYa4xrws/OxJt8XIrekdMRg72QXrhj97YqIiBwtvXuK\niEij4fMHWLL880qLVwd99e1GPlyxBp/fX74OVsuWLZk9e3YDZPkLhyOGP982BeuQOyl37c3kmfkL\nGzQPERGR2jLG5Bhjlley70cgF+j9632WZbUHhgDbjTHLKjh8GZAODLMsq23dZSzHgpJAmI2ZJfzk\n9eN22mjpqnIpNvkVn8/H0489xq6MjIj4CQMGcNGkSRGfY6Xu+EOGPfkBUjwOjkty0jJOf7siIiI1\noQKWiIg0GsYY5v777Wq1ferlBRjzywisv//977Rr164+06tQ/97dufjc0RGxF998n6070hs8FxER\nkfpgWZYDSAC8Few+ruz544qONcaYsn0W0K1eEpRmKRg2bMgqIcMbwIZF24RKl2CTSgQCAZ578kl2\n/vhjRLx7z55cdd112O3HZlFl88aNvPXqq+Ts318v5w8bQ4bXT5uEGFLdDlI9WvdKRESkplTAEhGR\nRsPpiCHnQF612uYcyMPpiOHiiy9m9uzZTJs2rZ6zq9wt115C29atyrdDoRD3z3qOUCh8hKNERESa\njHMBB/BhBftSy573AliW1cuyrHWWZX1jWVaPQ/cd0lbkiIwx/JDtI8MboDAQppPboZFCRykUCvHC\n00+zdfPmiHhat25cd+ONOByOKGUWXcYYPnz3XT5dsYLv1q2rlz725gdxxdjo5HbQs3VsvfQhIiJy\nrNAtTCIi0mj4A0GSWrnZl5VTZdukVm78gSB9+vShT58+DZBd5RLj47jj5qu5475HymMbtmzn9cVL\nmXTB2ChmJiIixyLLsu4AqnPVdJEx5rsqzpUIPAT4gAcqaHJwMch9Zc/nAQPKfj4X2AL8XLatApZU\ny47cAOm5AbILQ6S1cmK3qXh1NMLhMP+eN4+N338fEU9JTWXqLbcQ63JFKbPo2751Kz/t2EF8QgJD\nhw+v8/MfKA5REgzTPclJ7zYuYuz62xUREakNFbBERKTRsCyLaVdM4L5Zz1bZ9oYrL6Qx3Yg7atgg\nzhg2mGWfrS2PPTrvdYYO6k+XlPZRzExERI5BfwY8VbQxlK5NdcQCFvAg0BW41xizrYL9obLng7N7\nLAKuLDv/4l/tC1bRlwg/FwTYnuNjd76fTm4nThUAjko4HOa1l19m/ddfR8TbdejAtFtvJS4+PkqZ\nNQ5LP/gAgBFnnFHnhbzi/8/encdHVd3/H3/dWbNOSEIgQNgRFbVYdhDBDRTbKrZa61IVFcR9t1Wr\nRGtdqqiA+163urSofG1VqiJ1w58oi7LIFkjCloSQPZm5M3N+fySkDEkgQJLJ8n4+HvOYzNnmM8k8\nMnfu555z7DB55TZ9kz0M7BxDgkeLHomIiBwsfZqKiEir4fW4Ofm40QwbXGeP+AjDBw9i4vhReD2t\naz35m6afR3xcbO3jKn+AGQ89TTAU2ksvERGRpmWMSTbGOPZxcxpjXt7bOJZlTQcuA74C7m+gWU7N\nfdea515jjPm5MWaIMWZtTV36Hm33yrKsBm+ZmZmNGULaqOKqED/l+8kutkmLcxOvBMB+Mcbw3j/+\nwbdffx1RnpqWxvRrriEhISFKkbUO2Rs3smb1arxeL2PHj2/SsYNhQ06JTbdEN306eeiaoOvFRUQk\nejIzMxs8nm5rdDQoIiKtSozXw8Mzrmf44PqXBRw+eBAzZ1xHjDcyeVVWUUlJaXlLhNigLp1TuGHa\nuRFlK9Zs4MU3/y9KEYmIiBwYy7LOB54AfgJOM8YEGmiaW3PffS/D7aprVALLGNPgTQms9qsqGGZl\nfhU5xTYJHgfJsc5oh9TmfDBvHl989llEWafkZKZfcw2+pH1Nymz/PvnoIwDGjBtHXHx8k41rjGFz\niU1SjIMMn5t+Ka3rIjsREel4MjMzGzyebmuUwBIRkVYnNsbLw5nXc8d1l9A1LQW3y0XXtBTuuO4S\nHs68ntiYutt6zHn+TX47/VY+X7KirgAAIABJREFU/eLbRj/Pli1bANi2bds+WjberyYcy3Gjh0SU\nPf/6e6z4aX2TPYeIiEhzsizr18BLwFZgkjFmb5tTrqF6ucCJlmXV+X5pWZYTmED1UoP1LUEoQihs\nWJHnJ6fYxgBd4zV7ZX99/OGHtQmaXRJ9PqZfcw0pqalRiqr12LZlCz8uW4bL5WLcCSc06dj5FSEM\nhh6Jbg5L8+Jog1e3i4iItFY6KhQRkVYpxuvh5ONGMXH8KDxuFwE7iGVR77KBth1kQ/Zmduws5g/3\nPsZxY4Zyy+W/Jy01ud6xhw0bRl5eHrm5uViWxTnnnMNtt93GkUceybvvvntQcVuWxW3XTGH5qnUU\nFpUAEAqHufPBp3n1sT/Xm3wTERFpLWpmXr0EbAFONMZs3Ft7Y0yhZVkLgBOAk4EP9mhyCtANmG+M\nKWrygKVdWF3gZ3NxgDJ/mL7Jnja5vE00fb5gAR/MmxdRFhcfz2VXX01a165Riqp12ZXcGzFmTJPO\nRiv1hyiqCtE/xcPhaTHEuHSduIiISFPSJ6uIiLRaXo+HGK8Hh8NBjNfT4J5XbreLpx+4lZsv/z1x\nsTF89tV3/Hb6bbzz4Wf1To9evHgx2dnZhMNhQqEQoVCIdevWHXTyapfkJB9/uvaSiLLsLduZ/fyb\nTTK+iIhIc7As6wrgZaqX+hu/2x5W+3J3zf2LlmUdttt4hwMvUj1D656mjFXaj407A+QU22wvD9Iz\nyY3ToeTV/vjmyy959+23I8q8MTFMu+oquvXoEaWoWpcdBQUsWbwYh8PB8RMmNNm4gZBha2mQjCQ3\n/VM8WvZSRESkGSiBJSIi7YLD4eC3vzqJN5+8l2OGD6asvIJ7Z7/I5bfeT86W7S0ez7Ejj+aMScdF\nlP3jX5/w5bfLWjwWERGRfbEs64/AYzUPvwJusCzrJcuyXt3j9siefY0x/wUygS7AcsuyvrQs60vg\nByAVuNMY80XLvBJpS/LKg6wv9JNbbNPD58Gr2Sv77e3XX4947Ha7ufSKK+jZu3eUImp9FsyfjzGG\nISNGNNlyimFjyCkOkBrvpKfPTa8k7XslIiLSHHR0KCIi7Up6l1Qeybyee26ZTidfIt8tX805V9zO\n397+F8FQqEVjue7Sc+jZPXLZlj8/+jxFJWUtGoeIiEgjXEb1TCkDnANcCVxQ8/Ou27nA6fV1Nsbc\nDUwGvgaOBI4AvgBON8b8pbmDl7an1B9idX4V2cU2neOdJHh0euJA7L7agNPlYsr06fQbMCCKEbUu\nxUVF/L9Fi7AsixMmTmyycbeVBvG6LDJ8bg5N1RLhIiIizUVHiCIi0u5YlsXJx43m7afv49QTxuAP\n2Dz24ltcdN1d/LR+U4vFERcbw103TcOx21I4O3YWc9+cF+td2lBERCRajDF9jTHOmptjt5tzj/J+\nexljnjFmvDEmyRjTyRhznDHm/ZZ8HdI2+INhVub7yS62iXM7SInV9twHy+FwcMEll3Do4YdHO5RW\nJdHn49wLL+SEiRPpmp7eJGPurAxRGQzT0+fm8LQYXE4teykiItJclMASEZF2q1NSInfddBmz7r6R\nbl0689P6Tdzbwsmjow4bwJSzT4so+/TLxXzw6VctFoOIiIhIaxEKm5rkVYCwgfQEJa8OlmVZnHPh\nhRw5eHC0Q2l1HA4HRw8dyqmn1zt5dL9V2mHyym0yktwM7ByjmYMiIiLNTJ+0IiLS7o0Z9jPeePIv\nnDN5IrddPQXLatmrJC895zQOH9AnouyvT77C1u0FLRqHiIiISLSt2eEnp9impCpMhs/d4sdlbVnO\npvpXEjjr3HMZMnx4C0fT8QTDhpwSm26Jbvp08tBVyVcREZFmpwSWiIh0CHGxMdww7TwO7d/yG1q7\nXC7uvvkyvB53bVl5RSUzZj5DKBRu8XhEREREomFTUYBNxTZ55Ta9kty4HEpeNdbWLVt45rHH6pSf\nfuaZjDzmmChE1LEYY9hcYpMU46CHz03/FE+0QxIREekQlMASERFpAX16dueaS86OKFvy40+8/u6H\nUYpIREREpOUUlAdZV+gnt8imW4Ibr0unIxorPy+Pp2fPpqK8vE7duBNOiEJEHU9BRYgwhh6Jbg5P\n8+LQzEEREZEWoSNGERGRFnLmL05k1JAjI8qe/Ns/WZuVHaWIRERERJpfmT/EqvwqsotsUuOcJHqd\n0Q6pzSjcsYOnZs2itKQk2qF0WKX+EDurQvRK8nB4WgwxSr6KiIi0GH3qioiItBCHw8Ed112CLyG+\ntswOBrnzwaep8geiGJmIiIhI8wiEDCvy/WSX2MS6HKTGad+gxiopLuap2bMp2rkz2qF0WIGQYWtp\nkIyaZQOTY5V8FRERaUlKYImIiNQjHA6zdXtBk4/bpXMKf7zqwoiydRtzeejJV5r8uURERESiKWwM\nK/OqyCkOEAxBeqKSV41VVlbGU7NnsyM/P9qhdFhhY8gtsUmNd9IzyU2vJO17JSIi0tKUwBIREanH\nP/71CWdNv5VX/vlvgqFQk449YdxIJh0/JqLsvfn/5b2PFjbp84iIiIhE09odAXJLbIqqwvRMcmvf\noEaqrKzk2Tlz2L51a0T50UOHRimijmlbaRCPEzJ8bg5N9UY7HBERkQ5JCSwREZF6bNi0Gb8/wOzn\n3+Ti6+/mp/WbmnT8W668gF490iPK/vrEK03+PCIiIiLRkFMcYFNRgK1lNr2S3LgcSl41ht/v57nH\nHyc3JyeifNBRR3HuRRdFJ6gOaGdliMpgmJ4+N4enxeBy6v0rIiISDUpgiYiI1OOPV13Eo3fdQNe0\nFFat28iF12by+Etv4w80zV5VCXGxPHD71cR4/7cUScC2ueUvcygpLW+S5xARERGJhh0VQdbu8JNd\nbNMtwU2MS6ceGiMQCPDCU0+xccOGiPJDDj2UCy69FKdT+y/tTWVFRdOMY4fJK7fJSHJzSGcvCR69\nf0VERKJFn8IiIiINOGb4YN588l7OPm0CYWN46a33OffKO/j+h9VNMv6APhncds2UiLIt2/LJfPgZ\nwuFwkzyHiIiISEsqC4RZmV9FdrFNSowTn1dJl8YIBAI8/+STrPvpp4jyPv37M2X6dNxud5QiaxuM\nMTzx6KM8/vDD7CwsPOBxQmFDTolNt0Q3fTp5SE/Q711ERCSalMASERHZi/i4WG6afj7PPng7fXt2\nJ3vzNi77w33c/9hLlJUf/FWek44fw5m/ODGi7PNvlvK3t/910GOLiIiItCQ7ZFiZV0VOsY3H6aBz\nvCvaIbUJfr+f5594ok7yKqNnTy694gq8Xu2/tC+rfvyRLbm5FOTnk5CYeMDj5JbYJMU46OFz0z/F\ns+8OIiIi0qyUwBIREWmEwYMO4dXH7mbquZNxuZz8898LOHv6bSxc9P1Bj339tHM4YmC/iLKnXvkn\n/2/pioMeW0RERKQlhI1hZX4VOSUBAiHonqjkVWPUJq/WrIko756RwdSrryY2NjZKkbUdxhg+/vBD\nAMafeOIBz1bLLw8SxtAj0c3haV4clva9EhERiTYlsERERBrJ43Yz7fwzeGX23Rx5aH/yduzkL7Ne\noLyi8qDHvf+2q0jyJdSWhcOGPz3wJHkFB74EioiIiEhLWVcYIKfYpqgyTK8kt07+N8Ku5NX6tWsj\nyrtnZDD9mmtISEhooKfsbsPatWzKyiIuPp7RY8ce0BhlgRA7q0L0SvJweFqM9m0TERFpJfSJLCIi\nsp8G9MnguYf+xI2XnccfrryQ+LiDvzI2vUsqf755OtZuJ3t2Fpfyx/sex7aDBz2+iIiISHPJLbHZ\nuDPA1lKbDJ8bl0PJq31pKHnVo2dPpl9zDfFKXjXartlXxx5/PN6YmP3ub4cMW0qCZPjc9Ev2kByr\nfdtERERaCyWwREREDoDT6eB3p0/kxLHDm2zM0UOPYup5kyPKfli1jtkvvNlkzyEiIiLSlAorg6zd\n4Sen2KZboptYt04z7Iu/qornHn9cyasmkL1xI2tWr8br9TJ2/Pj97h82hpwSm9R4Jz2T3PTupH2v\nREREWhMdWYqIiLQil/zuNEYPPSqi7I335jN/4TdRikhERESkfhV2mFX5frKLA3SKceLzaubKvvir\nqnjuiSfYsG5dRHlGTfIqLj4+SpG1TZ989BEAY8aNO6Df3bayIB4n9Eh0c2iqt6nDExERkYOkBJaI\niEgr4nA4uPvm6aSnpUaU3zPrebKyt0QpKhEREZFIdsiwIq+K7CIbl+UgLd4V7ZBavaqqKp59/PG6\nyatevbhMyav9tm3LFn5ctgyXy8W4E07Y7/47K0NU2mF6+twMSvPicmrpSxERkdZGCSwREZFWppMv\ngftvvwq3638ngiqr/PzhL3Mor6iMYmQiIiIiYIxhVX4VucU2/pChh0/Jq33ZlbzKWr8+orynklcH\n7NP58wEYMWYMvqSk/epbaYfJK7fJSHJzSGcvCZo9KCIi0iopgSUiItJCcrdub3TbIwb246bp50eU\nZeVs4fYHniQYCjV1aCIiIiKNtr4wQG6JzY7KED19bhyWZq7sza7k1caGkldxcVGKrO3aUVDAksWL\ncTgcHD9hwn71DYWr973qluimTycP6QnuZopSREREDpYSWCIiIi3gu+Wr+M3UP/DA4y9T1shZVGdM\nOo5TTxgTUfblt8t48IlXMMY0R5giIiIie7Wl1CZrZ4DNJTY9fW7cWnZtr6oqK3n2scfqJq969+ay\na64hVsmrA/LTypWEw2GGjBhBSmrqvjvsZnOJjc/roIfPTf8UTzNFKCIiIk1B8/xFRERawPpNm7Es\nB//41yf895sl/PHKCzl25NF77WNZFrdedREbsjezet2m2vK5Hyyge3oaF571i+YOW0RERKRWUWWI\nNQV+sott0hPcxLp1TezeVFVW8sxjj7EpKyuivFefPky76iolrw7CmHHj6HfIIXg8+5eAyi8PEsKQ\n4fNweJpXswdFRERaOR1tioiItIDf/uokXp19F0cM7EdeQSE33PUItz/wBIVFJXvtFxPj5ZHMG0hP\ni7yy9LEX32L+wkXNGbKIiIhIrUo7zMr8KjYVB/B5nSTFaM+gvancW/Lq6quVvGoC6d267dfsq7JA\niJ1VIXoleTg8LYYYl06JiYiItHb6tBYREWkhA/r25PmZd3D9tHOJ8XqYv/AbfnvZH/nXJ1/sdUnA\nzimdePTuG0iIjzzRkTnzWZb8+FNzhy0iIiIdXDBkWJFXRXaxjdOy6JqgxVz2prKykmfmzKmTvOrd\nt2918io2NkqRdVx2yLClJEiGz02/ZA/JsUrAioiItAVKYImIiLQgp9PBuZNP5o0n72Xkz4+guLSc\nzJnPcs0dD7Fle36D/fr3zuCvt1+Ny/W/L9t2MMhNd89iY+7WlghdREREOiBjDKsL/OSU2FTaYXok\nuqMdUqu2K3mVvXFjRHnvvn2rlw1U8qrFhY0hp8QmNd5Jhs9N707a90pERKStUAJLREQkCnqkpzHn\nnpuZccNUfAnxLPr+R86efhuvv/sRoVC43j7Djx7En669OKKspKyca++cuc+lCEVEREQOxIadAbKL\nbXZUVC+95nRoz6CGVFZU7DV5FaPkVVRsKwvicUKPRDeHdfZGOxwRERHZD0pgiYiIRIllWfzypLG8\n9fR9TBg3kip/gNnPv8mmzQ3PqPrFiWO57PxfR5Rt2ZbPDZmPUFXlb+6QRUREpAPZVmqzYWeAzSUB\nMhLduJ1KXjWksqKCp+tJXvXp10/JqyjaWRmi0g6T4XMzKM2LS+9hERGRNkUJLBERkShLTU7i3j9e\nwUN3XsvVU35Lv1499tr+knNO47SJ4yLKVqzZwB0PPtXg7C0RERGR/VFcFeKnAj85xTZd4t3EeXT6\noCEVFRU8PXs2OZs2RZT36d+fqUpeRU1VMExeuU1GkpuBqV4SvNr3SkREpK3REaiIiEgrMX7UEM77\n9Sn7bGdZFrdedSEjf35ERPlnX3/Po8/9vbnCExERkQ6iyg6zMr+K7GKbBI+D5Fid+G9IbfIqOzui\nvG///ky98kpiYmKiFFnHFgobcoptuiVW73mVrr3bRERE2iQlsERERNogl8vF/bdfzYA+GRHlb7w3\nn7+/Oz9KUYmIiEhbFwwbVuT7yS62Aega74pyRK3XruRVbj3Jq0uVvIqqzSU2iV4H3RPd9E/2RDsc\nEREROUBKYImIiLRRCXGxPHr3jaSldooof+TZ15m/8JsoRSUiIiJtlTGGnwr85BYHKA9U7xtkWdoz\nqD4V5eU8PWtWneRVvwEDNPMqyvLLg4QwtfteOR16D4uIiLRVSmCJiIi0YV07p/BI5g3Exf7vJIkx\nhjsffEpJLBEREdkvG4tssott8stD9PS5deK/ARXl5Tw1eza5OTkR5f0GDODSK67Aq+RVkwmHw3y7\naBG2bTeqfVkgxM7K6vfvYWleYtw67SUiItKW6ZNcRESkjdqUuw1jDIf27839t12F0/G/j/VQOMwd\nDz7JR599HcUIRUREpK3YXhZkQ6GfzSUBuvvceF06XVCf0pISnpw1i817JK/6H3IIl155pZJXTeyH\npUt54+WXefLRR/fZ1g4ZtpQE6ZHkpl+Kl5RYLX8pIiLS1umIVEREpA3aur2A319zJ9fcOZOt2wsY\nPfQoZtw4FcduV0qHw4Y7H3qaDxcoiSUiIiINK/GHWF1QRXaxTec4FwkenSqoT+GOHTz28MNsyc2N\nKO9/yCFccsUVeL3eKEXWPhlj+PjDDwEYNnLkXtuGjSGnxCY1zklPn5veSe6WCFFERESamY5KRURE\n2qDszdtwuZws+u4Hzr78Nt54bz4Tx43irhsvq5PEmjHzaT5Y8FWTx7B06VJGjhxJSkoKDoej9hYX\nF8fRRx/NjBkzGuz77rvv0q1bt4h+qampnHDCCRhjmjxWERERqV9VMMzKPD85xTZxbodmrTRg+7Zt\nPDZzJgV5eRHlAwYOVPKqmaxesYItubn4kpIYPnr0XttuLwvidkIPn5tDO3u1d5uIiEg7oQSWiIhI\nGzRyyJG89dR9nDR2OJVVfmY+/RpTb76HQ/r15M83T6+TxMqc+Qz//uTLJo3h6KOP5ptvvmH79u0c\nfvjhACQkJLBlyxaWLl3KXXfd1WDfyZMns3XrVk444QTi4uJ47rnnyMvL49NPP9UJBxERkRYSCpvq\n5FVJAGMgPUHJq/rkZmfz+MMPU1xUFFF+2BFHKHnVTHaffTX+xBNxuxueUVVUFaLcDpPhczMozYvb\nqWNJERGR9kIJLBERkTaqc0on7rvtKh6641rSUjvxw+r1nH/1nWzM2cqM66dF7IkVDhsyH36Wf33y\nRZPH4Xa7OeqoowCorKwkISGhUf0qKyvZsGEDr732GhdffDFOp7PJYxMREZGG/bTDT25JgJKq6pP/\nuoikrvVr1/Lko49SXlYWUX700KFMuewyPB5PlCJr3zasXcvGDRuIjYtj9NixDbarCobZXmbTM8nN\noaleErw6nhQREWlPlMASERFp48aPHsJbT93HrycdTzAY4tnX3+Wlt/+PqedNjkhiGWO46+HneP/j\npk9i9e3bF4BwOEx2dnaj+syYMYPJkydz+umnN3k8IiIisncbiwJkF9lsLwvSK8mN06Hk1Z5W/fgj\nzzz2GFVVVRHlo8aO5bwpU3C5NGOtuXz80UcAHHv88XhjYuptEwobcoptuiW66d3JQ3qi9r0SERFp\nb5TAEhERaQcS4uO49eqLeOqBW+nVvStZ2Vt4+tV3GDnkSBy7XU1tjOHuR55j3vz/Nunz9+nTp3b8\nrKysfbZfsmQJc+fO5Z577mnSOERERGTf8suDrC/0k1ts08PnxuvSqYE9LVm8mBeeeoqgbUeUHz9x\nImeecw4Oh35nzSV740bWrFqF1+vl2OOOa7Dd5lKbRK+D7olu+idrJpyIiEh7pCMuERGRdmToUYfx\n2uP3cNFvf4nDsvhq8XLOO+OUiOX5jDHcM+uFJk1i7ZqBBewzgRUKhZg6dSpz5swhLi6uyWIQERGR\nfSvzh1idX0V2kU1qnJMEj5Zc29PXn3/Oay++SDgcjig/9fTT+eXkyVpqsZl9WjP7avSxxxIXH19v\nm4LyICFjave90gxCERGR9knz3UVERNqZGK+HKy86i5OOHcH8hYu4aspvOWrQAG697wlCoRBQncT6\n86PPU1JWznlnnHLQJ2J2zcCCfSewHn30UQYOHMikSZMO6jlFRERk//iDYVbk+8kusYl1O0iN0ymB\nPX3y0Uf8+733Isosy+LXZ5/NmHHjohRVx7FtyxZ+WLYMl8vF+BNPrLdNWSBMYWWIviluDkvzEuPW\ntdkiIiLtlT7lRURE2qlD+/fm6ovPxrIsjh8zjPtvvTJiJhbArOfe4O5HniOwx/I4+6tXr161P2/c\nuLHBdllZWcyaNYtZs2Yd1POJiIjI/gmFDSvz/eQUBwiGID1ByavdGWN4/5136iSvHA4H5150kZJX\nLeTT+fMBGDFmDL6kpDr1dsiwpdSmR5Kb/ileUmL1PhYREWnPlMASERHpII4bM5QHbrsKlysyifX+\nx19w+R/vp7Co5IDHjomJoVu3bsDeZ2BNnz6du+66i7S0tAN+LhEREdl/a3f4yS2xKaoK0zPJHbFH\nZkcXDof5x9//zoL//Cei3OV2M+WyyxgyfHiUIut40rp2JSExkeMnTKhTFzaGnBKb1FgnPX1ueie5\noxChiIiItCQlsERERDqQ8aOH8Ejm9STER+49tXzVOi68NpM1G7IPeOxd+2A1lMB65ZVXsG2bKVOm\nHPBziIiIyP7LKQ6wqdhmW5lNryQ3Lu0XVCsYDPLaiy+y6IsvIsq9MTFMu+oqBh11VJQi65gmTJrE\nHX/5CympqXXqtpcFcTuhh8/NoZ292otMRESkA1ACC7As60+WZYUtywo3ou1ZlmV9bllWSc1toWVZ\nv2mJOEVERJrCqCFH8eIjd9Kre9eI8m35O7jkxj+z4KvFBzTurgRWXl4elZWVEXUFBQXcfvvtPPPM\nMwcWtIiIiByQgooga3b4ySm26Z7gJsal0wC7BAIBXnz6aZZ+911EeXxCApdfdx39DzkkSpF1bC5X\n3WUBi6pClNthMnxuDk/z4nYqeSUiItIRdPgjV8uyxgF3An7A7KPtg8CbwHBgKbAMGA28bVnW/c0c\nqoiISJPpk9GNFx+ZwYijj4gor/IHuOWeOTz/9/cwZq8fi3XH7NOn9uc9Z2Fdd911XH755QwYMOCA\nYxYREZH9UxYIsyq/ipxim5RYJ4le5747dRCVlZU8M2cOq1esiChP6tSJK2+4gZ677e8p0VUVDLO9\nzKanz83AVK/exyIiIh1Ih05gWZaVBvwdeAbYto+2pwI3ApuBI40x44wxxwJHAluAWyzLOqWZQxYR\nEWkyvsR4Zv35Rs4+re4eA0+9Mpc//fVJqvyBRo+3awaWMSYigfXRRx/xww8/cMstt9Tbr7Kykmuu\nuYbBgwdz/PHHM2bMGD744IP9fDUiIiKyu0DIsCKvOnnlcTroHFd3VktHVVpaypOPPkrW+vUR5Z27\ndOGqG2+ka3p6lCKTPYXChpxim/REN706eeiWqH2vREREOpIOm8CyLMsB/K3m4e3Avuaf/6nm/gJj\nzLpdhcaYNcAFu40jIiLSZricTm6afj7Tzj+jTt38hd8w7ZZ7ySsoBMAfsKnyBwiHw1T5A/gDdkT7\nXQks+N8MrPLycq688kqeffZZnM76r5b9/e9/z+LFi/nmm29YsGABf/3rXznjjDP417/+1VQvU0RE\npEMJG8Oq/CpyiwMEQtA9UcmrXXYWFvL4zJlszsmJKO+ekcFVN9xQ795LEj2bS20SvA56JLoZkOKJ\ndjgiIiLSwjpsAgu4CTgFuNwYU7y3hpZlpQOjgA3GmAX1NFkAZANjLMvq0uSRioiINLOp505m9p9v\nxOuJvKp11dosHnr6NcorKvlwwVecOe0PjJ08lTOn/YEPF3wVMUNr9yUEN27cCMCdd97JqaeeyogR\nI+p93vnz5zN37lxmzJhBTEwMAGPHjmXChAlce+21TfsiRUREOoi1OwLkFNsUVYXpleTGYWm/IID8\n7dt5bOZM8vPyIsr79O/PFdddR6LPF6XIpD4F5UFCxtDT52ZQmhenQ+9jERGRjqZDJrAsyxoD3As8\nY4yZ14gu/WvuP6mv0lRvEvIJ1bO4+jVJkCIiIi1s9NCf8caT99IjPa22bOjPDuPWqy7kpj/P4p5Z\nL7A9vxA7GGR7fiH3zHqB6zMfprLKD0DPnj1xOKoPLbKysvjuu++YO3cu9913X4PP+eqrrxITE8OE\nCZHLGJ566qls2LCBr776qhleqYiISPuVW2yzqSjA1jKbDJ8bl076A5Cbk8NjM2dStHNnRPmhgwYx\n7aqriI2Li1JkUp+yQJjCyhAZPjeHdvYS4+6Qp69EREQ6vA53BGBZVgrwBrAOuKGR3XrW3G+tGeMw\ny7KWWJb1vWVZA3ev262tiIhIm5PRrQuvPvZnjhk+GF9CPH/5wxXcdv8TLF62qt72i5et4sa7HqXK\nH8DlcpGRkQHAmjVrmDp1KrNnzyY+Pr7B5/viiy/o27dvbeJrl4EDqz9elcASERFpvMLKIGsL/WQX\n23RLcBOrk/4AbFi3jicfeYSysrKI8sFDhnDx9Ol4vd4oRSb1sUOGLaU2PZLc9E/2kqr920RERDqs\nNnsUYFnWzUBjjjLnGWOW1/SxgBeBrsAYY0xFI58uo+Z+e839L4HBNT//AlgDbKt5rASWiIi0aQlx\nscy88zpWrNnAp19+22Dyapdvl61k/sJFnHzcKPr27Ut2djYrVqzgzDPP5Fe/+lWD/WzbJjs7m2HD\nhtWpS0xMBGDTpk0H92JEREQ6iPJAmJV5VWQXBUiOceLz1r/3ZEezesUKXnrmGWw7cu/OEWPGcNa5\n59a5iEaa3tqVy5l52zXkblxPWUlRbbnHG0PPvgM4ZsIvuPj66m3Hw8aQU2KTEusgw+dmyWf/YvQV\nV7B9+/bafsnJyQwePJhqgnGWAAAgAElEQVRPPvkES8tjioiItGttNoEF3AYk7aONoXpvquU1j68F\nfgXcboz5bj+eK1Rzv+vIdh5wXs347+9RF9yPcUVERFolp9PBwH69uO3+xxvV/pnX3mHi+FH06dOH\nhQsX0qlTJ+bMmbPXPsXFxYTD4XpnaO1KYO3cY5kfERERqcsOGVbmV5FTHMTtdJAW35a/6jedpd99\nx+svvUQoFIooP+6kk/jlGWco+dFCDhn0M5569zOCts0lvxjNpnU/ERufwFtfriLR1ymi7fayIG4n\n9PB5OKyzl6POOIMzzjiDk046iUWLFjF79mwuvPBCnE4laEVERDqCNnupkTEm2Rjj2MfNaYx5GcCy\nrOHAX4EvgAf28+lyau671jz3GmPMz40xQ4wxa2vq0vdou0+WZTV4y8zM3M8QRUREmpbH7aJwZ0mj\n2hbuLMHjdtG3b18AHnjgAbp27brXPlVVVQD1Ltvj8XgAKC0t3Z+QRaSDyczMbPB4WqSjCJtdyasA\n/pChe6KSVwBff/45r77wQp3k1aTTTlPyKkpcbjf9Dj0CgKrKCj547//YUVBQW19cFaLcDpPhczMo\nzYvbWf03qqysZMOGDbz22mtcfPHFSl6JiIh0IB3pyPYvVL/esUCwoYNVy7LCNT9OMcb8rebn3Jr7\n7nsZf1ddoxNYxpjGNhUREWlxATtISrKP7fmF+2ybkuwjYAc588wzSU1NZerUqfvsk5TU8ETqXXtU\naE8KEdmbzMzMBi/80slp6SjWFwbILbYprAzTt5MHRwd/74fDYf49bx4L5s+vU/frs8/mmPHjoxCV\n7NKtZx+g+u/030/m02/gQFI7d6YqGGZbmU2fTh4GpnpJ3G0JzBkzZjB58mROP/30KEUtIiIi0dKR\nElif8b99qurzayAOeLXm8frd6tZQvVzgRMuyHMaY8O4dLctyAhOoXmpwXVMFLCIiEk2WZTH13Mnc\nM+uFfbaddt4ZWBYMGjSIQYMGNWr8xMREPB4P4XC4Tl15eTlQvceBiIiI1G9zic3GnQG2lNr0SvLU\nzljpqGzb5u9/+xvLvv8+otzhcPC7Cy5g6IgRUYpMdknP6FX9gzF4XA5+PmwYobAhp9gmPdFNr04e\nuiW6a9svWbKEuXPnsnz58gZGFBERkfaswySwjDH37q3esqxxQE9jzAX19C20LGsBcAJwMvDBHk1O\nAboB840xRXv2FxERaYu8HjcnHzeaDz/7msXLVjXYbvjgQUwcPwpvzbJ/+6NPnz4UFdX96CwsrJ71\ndcghh+z3mCIiIh3BzsoQa3f4yS62SU9wE+tuszsENImysjJefOopNm7YEFHudrv5/SWXcMTPfhal\nyGR36Rm9a1ej6d2rB06nk5ziAAleB90T3QxI+d/xZCgUYurUqcyZM4e4uLhohSwiIiJR1LGPcPfP\n3TX3L1qWddiuQsuyDgdepHqG1j3RCExERKS5xHg9PDzjeoYPrn9W1fDBg5g54zpivPufvAKYMGEC\nq1evrrOs7o8//gjA6NGjD2hcERGR9qzCDrMyv4pNxQF8XidJMR17T6D8vDzmPPhgneRVos/HFddf\nr+RVK1JRGaj9OcbroqA8SDBsyPC5OSLNi9Pxv1mEjz76KAMHDmTSpEnRCFVERERaASWwGskY818g\nE+gCLLcs60vLsr4EfgBSgTuNMV9EMUQREZFmERvj5eHM67njukvompaC2+Wia1oKd1x3CQ9nXk9s\nzIHvU/WLX/yCkpISPvvss4jyd999l969e3PMMcccZPQiIiLtSzBkWJlXRU6xjcuy6JrQYRZWqVfW\n+vXMfvBBCvLzI8q7pqdzzc0306tPn+gEJnUYY1i6ZFn1A8tiS24OhZUhMpLcHNbZS8xuswizsrKY\nNWsWs2bNilK0IiIi0hp07CPdSGafDYy527KspcCNwNE1fb4AHjLGvN/M8YmIiERNjNfDyceNYuL4\nUXjcLgJ2EMvigJYN3N0pp5zC6NGjufXWW/n4449JSEjgvffe49tvv+X99/XRKiIisjtjDKsK/OSU\n2FTaYfomH9zncFu3ZPFi3nj5ZYLBYET5gIEDuWjaNGK17FyrsmHtWnKyc/DExGH7K8nJ3kgPn5v+\nyV5S4yJPT02fPp277rqLtLS0KEUrIiIirYESWDWMMX0b2W4eMK+ZwxEREWl1dk9WHeiSgfX54IMP\nuOWWWxg9ejQ+n4+KigreeustLRcjIiKyh/U7A+QUB9hREaJvJw8Oy9p3p3bIGMOC//yHf737bp26\nYSNHctZ55+Fy6XRHa/PxRx8B0KV7TzZnrWHHlmwyktz07uSOaPfKK69g2zZTpkyJRpgiIiLSiuiI\nTkRERKLK5/Px1FNPRTsMERGRVm1rqU3WzgCbS2x6JnlwOztm8ioUCjH3jTdY9OWXdepO/uUvmTBp\nElYHTey1ZjmbNrFm1Sq8Xi89Bx7B5qw1lBTm0zs+HPH3Kigo4Pbbb+fTTz+NYrQiIiLSWmgPLBER\nEREREcGyLKdlWZdZlvWZZVkFlmWVWZb1o2VZT1qW1a8R/c+yLOtzy7JKam4LLcv6TUvE3t4VVYVY\nU+Anu9ima4KbOHfH/CpfVVnJ808+WSd55XQ6OeeCC5h46qlKXrVSn3z4IQBDxowltcf/FsDJzd4Y\n0e66667j8ssvZ8CAAS0ZnoiIiLRSHfOoV0RERERERGpZlnUU8DXwJDASWAN8DCQClwGrLMs6bi/9\nHwTeBIYDS4FlwGjgbcuy7m/W4Nu5KjvMyrwqNhUH8HkcdIpxRjukqCjauZPHHn6Yn1aujCiPiY1l\n2lVXMWzUqChFJvuyfds2fli2DJfLRf/hxzKwf3U+3BhDVlZWbbuPPvqIH374gVtuuaXBsSoqKpg3\nbx4///nP+bKeWXgiIiLSvmgJQREREREREUkBDgduB2YaYwJQPSsL+BMwA3jLsqx0Y0x4946WZZ0K\n3AhsBo43xqyrKR8IfArcYlnWZ8aYD1vs1bQTwbBhRX4VOcU2Diy6xHfMr/Cbc3J47oknKCkujihP\nTknh0iuvJL1btyhFJo2R1qULv790Kutyt9M3PZVOh/evrduVwCovL+fKK6/k9ddfx+msm6TNy8vj\n/PPPx+fz4fF4WLZsGaFQqMVeg4iIiERHxzz6FRERERERkVrGmIWWZXU3xpTuUR4C7rIsayrQDTiK\n6tlVu/tTzf0Fu5JXNX3XWJZ1AdUzuW4HlMDaD8YYfirwk1NsU26H6dvJ0yGXx1u1YgWvPPccfr8/\norxn795cPH06vqSkKEUm9XE5oEe8Rec4JzEeN1UBm4KKEPkDj6TrIUfSw+dm0FGH1LbfuHEjAHfe\neSennnoqI0aMqHfcLl26MH/+fABeeukl3njjjWZ/LSIiIhJ9SmCJiIiIiIgIeyav9lAB1MmeWJaV\nDowCNhhjFtTTbwGQDYyxLKuLMSavSYLtALKKbLKLbArKQ/RJ9uB0dLzk1deff87cN98kHI6Y9McR\nP/sZ5198MR6PJ0qRSX2SYhwMSHIwf+Einv/7uxTuLCEl2cfF50zmlHGj2FQapn+KF7fVC4fDQTgc\nJisri++++465c+fy448/RvsliIiISCujBJaIiIiIiIg0yLKsXwADgLXAij2qd60F9kl9fY0xxrKs\nT4ApQD9ACaxG2FZms6HQz+bSAD18HjzOjpW8CofD/Pu991jwn//UqRt3wgn86te/xuHQlt6tSXXy\nyuKmux9h8bJVteXb8wu5b/YL/Gfh18yccT2xbgfgICMjg+zsbNasWcPUqVOZPXs28fHx0XsBIiIi\n0irpiE9ERERERERqWZbltSyrl2VZ4y3Legr4B5ALnG2MCe7RvGfN/daavodZlrXEsqzva/bAqq3b\nra3sRXFVqHbpwLQ4N/GejvW13Q4EePWFF+okryzLYvJZZ3H6mWcqedXKuBwwIMnBTXc/GpG82t3i\nZau46a5HqfIHAOjbty8AK1asYMCAAfzqV79qsXhFRESk7dAMLBERERERkXbEsqybAW8jms4zxiyv\np/wjYNxujx8A/mqM2VlP24ya++01978EBtf8/AtgDbCt5rESWPtQFQyzMr+KnCKbeI+D5FhntENq\nUWWlpbzw1FNsysqKKHe73Zx/8cUcOXhwAz0lmnrEW8xfuKjB5NUu3y5byfyFizj5uFH06dOHhQsX\n0qlTJ+bMmdNCkYqIiEhbowSWiIiIiIhI+3IbkLSPNobqvanqS2AtBMJAOnAYcB3QzbKsm4wxBXu0\nDdXc75oSMw84r2b89/eo23P2luwmFDasyKueeWWArvEd6+t6/vbtPPvEE+zIz48oT/T5uHj6dHr1\n6ROdwGSfOsc5ef7v7zaq7TOvvcPE8aNqZ2A98MADdO3atTnDExERkTZM8+5FRERERETaEWNMsjHG\nsY+b0xjzcgP9ZxhjTjDGDAL6AI8DFwDfWpbVaY/mOTX3XWv6rjHG/NwYM8QYs7amLn2PtntlWVaD\nt8zMzMb/ItqYn3b42VwcoMwfJsPnxrI6zr5XG9atY/ZDD9VJXnVNT+eam29W8qoV8/v9eD0uCneW\nNKp94c4SPG4XZ555JnPmzGHq1KnNHKGIiEjHk5mZ2eDxdFvTsS7pEhERERERkUYzxmQDN1mWFQ9c\nBtxC9QyvXXJr7rvvZZhddY1KYBlj9jfMNm/jzgDZRTbby4P06eTB6Wh7JxcO1JLFi/n7yy8TCkZO\n0Btw6KFcNHUqsXFxUYpMGlJeXsHS5T/yw9KlZP20kvdffIiUZB/b8wv32Tcl2UfADjJo0CAGDRrU\nAtGKiIh0PJmZmQ1e+NXWklhKYImIiIiIiMi+/IfqBNawPcrXUL1c4ETLshzGmPDulZZlOYEJVC81\nuK4lAm1r8sqDrN/pJ7fYpofPjdfVMRZKCYfDfPzhh3z0/vt16oaNGsVZ556Ly6VTFq1FcUkp3y9Z\nzoplS9m0djXhUKi27v8tW82Us0/j/sde2uc40847gzZ23kxERESiSEeDIiIiIiIiHZxlWYcBOcaY\n8gaaHFlzH5GEMsYUWpa1ADgBOBn4YI9+pwDdgPnGmKImDLldKPWHWJ1fRXaRTed4JwkeZ7RDahGV\nlZX8/W9/Y8XyuluwnfzLXzJh0qQ2d3Vwe7SjcCfffb+UlcuWkZu1DhOuzk9blsUhAwcwbtQwJo0f\nRu9uaVT5A3z8+TcsXraqwfGGDx7ExPGj8Ho8LfUSREREpI1TAktERERERKQDsywrGfgEqLQsa5ox\n5tPd6ixgMtXLBhrgn/UMcTfVCawXLcs6zhizuqbv4cCLNf3uad5X0fb4g2FW5vvJLraJdTtIie0Y\nX8+3bd3KS08/TX5eXkS50+nkt+efz7CRI6MUmQAEQoZSf4gSf5j3/vYKOWtXA+BwOBh0xCDGjxnK\npGOHkd45cju8GK+Hh2dcz413Pcq3y1bWGXf44EHMnHEdMV4lr0RERKTxOsYRsoiIiIiIiNTLGLPT\nsqxZVCeiPrYsaxOwAggDg4B+VCehbjHGfFJP//9alpUJZALLLcv6tqZqJGABdxpjvmj2F9KGhMKm\nJnkVIGygW0LH+Gq+7PvveeOVVwj4/RHl8QkJXHDppQwYODBKkXVs/mCYEn+YEn+IYBgSvQ7S4l0c\ne8wIViV4Of6YYZx8zBBSkhL2Ok5sjJeHM69n/sJFPPPaOxTuLCEl2ce0885g4vhRTZa82rJlCwDb\ntm1rkvFERESk9bI64ga50WZZloGOuTmxiIiIiEhL2LX8mDFG65A1kmVZvYFpwCSgN+AFsoDvgAeN\nMSv20f804EbgaKoTXkuBh4wxdTc5qr9/h/metCq/irU7AuSXB+mb7MHlaN9v03A4zL/nzWPB/Pl1\n6jJ69eKiadNITkmJQmRtz9U77oh4PCf1zwc0TqVdnbQqDYQIG/B5Hfi8ThK9DlJjnXSOc5Ec68R5\nAO9NfyCAMeBxuwjYQSyLJlk2cNiwYeTl5ZGbm1v7P75v374ceeSRvPvuuwc9voi0jMHf3RDxeNnQ\nh6MUiUjH1Na+J3WMy7xERERERERkr4wxm4Dba24H0n8eMK9Jg2qHNhUF2FRss73cpk9S+09elZeV\n8eoLL7Bm9eo6dcNHj+Y3v/sdbrc7CpF1LOFwmNwt2/F06kyJP4zDqp5p1cPnxud1kBrnIjXWSXKs\nE8dB7j+2e7KqKZcMXLx4cZONJSIiIm2DElgiIiIiIiIiLaCgPMi6Qj+5RTbdE914XY5oh9SscnNy\n+Nszz1C4Y0dEudPpZPJZZzH62GNrrwKWphcMBlmx6ieWLVnKmh+XE7QDXJt5L72TvPhinLUzrZJi\nHPo7iIiISKukBJaIiIiIiIhIMyvzh1iVX0V2kU1qnJNErzPaITWr7775hrdef52gbUeU+5KSuODS\nS+nbv3+UImvf/H4/y39cxfIlS1m/6kf8lRW1dampqXRzlnN0z2R87fz9JyIiIu2DElgiIiIiIiIi\nzSgQMqzI95NdYhPjql6urb0KhUL83z//yeeffVanrk///lx46aX4kpJaPrB2rLyikmXLfmD50mVk\n/bSCYCBQW5feLZ0xI4ZwyrjhHH1YX820EhERkTal/R41i4iIiIiIiERZ2BhW5lWRUxwgGILendrv\n1/CS4mJeef55NqxbV6fumPHjOe03v8Hlar+vPxrmzvs3iz7+kFAwWFvWq3cvjhlZnbQa1C8jitGJ\niIiIHBwdOYqIiIiIiIg0k7U7AuSW2BRVhemX7MHRTmfAbMrK4qVnnqGkuDii3OV2c+Y55zB81Kgo\nRdZ+BMOmTlmXzqmEQyEGDOjP2NFDOXXccPr26BKF6ERERESanhJYIiIiIiIiIs0gpzjApqIAW8ts\neid5cDnaZ/Lq6y++4J033yQUCkWUJ6ekcNG0aWT06hWlyNo+O2Qo8Yco8Yfxh8Kwx1vo3IkjuGjC\nz+melhydAEVERESakRJYIiIiIiIiIk1sR0WQtTv8ZBfbdEtwE+NyRDukJmfbNu+89RbffPllnbpD\nDj2U8y+5hISEhChE1rb5g2FK/WFKAmHskCHR6yAt3kmi1w0FkW37dNbvV0RERNovJbBERERERERE\nmlB5IMyq/Cqyi21SYpz4vM5oh9TkdhYW8vJzz5G9cWOduuNOOolTTz8dp7P9ve7mYIxhw8Zslny/\nlLUrf+S0S64mxRdL1wQXPo9FSpyLznEukmOddRJYIiIiIu2ZElgiIiIiIiIiTcQOGVbkVSevPE4H\nnePb39fu9WvW8PJzz1FWVhZR7vF6+d3vf8/gIUOiFFnbEQ6HWbNuA0u+X8JPPyyjdGdhbZ3JW8fR\nA0fQOc5Jpxgnzna69KSIiIjIvrS/I2kRERERERGRKAgbw8r8KnJKAgRC0KdT+/rKbYzh8wUL+L+5\ncwmHwxF1ndPSuOiyy+jWvXuUomsdcjeu57apv6WivIwn/vEJXbpn1NYFg0FWrl7LsiVLWPPjcipK\nS2rrEn0+Rg77OSeNHca4oYfjdrujEb6IdHDr1q3jtNNOo7S0lK+++oqePXtGOyQR6eDa19G0iIiI\niIiISJSsKwyQU2xTVBmmb7IHh9V+Zs4EAgHeeu01lnz7bZ26QUceybkXXURsXFwUImtdXntyJtnr\n12BZFluys+jcrQfrNmzii88Wsm7lD/grK2rbpqSmMGr4ECYeO5yRRx2Cy6UlF0Ukuu677z5Wr16N\nZVls2LBBCSwRiTolsEREREREREQO0uYSm407A2wttemV5MHVjpZ921FQwItPP83WzZvr1E089VQm\nnHoqDocjCpG1PksXfQ6Aw+nC128wa3b42by9gBXffQNA1/SujBk5lJOPHcaQw/thtaMkp4i0fZ99\n9hkALpeLESNGRDcYERGUwBIRERERERE5KDsrQ6zd4Sen2CY9wU2su/0kc1YsX87fX36ZyoqKiPKY\nmBjOmzKFQUcdFaXIWpdQ2LAxJ5etORsB6DvoaFIS40j0OvnZmKNJCkzmlGOHMai/ZjOISOu0efNm\nsrKyABg2bBixsbFRjkhERAksERERERERkQNWYYdZmV/FpuIASTFOkmLaxzJwdiDA/73zDl8uXFin\nLr1bNy667DLSunSJQmStRzBsKPWHKfGHqAyGWbboi9q6cePHM6R7HJ3jnMS4HYy66IwoRioism//\n/e9/a38+7rjjoheIiMhulMASEREREREROQDBkGFFXhXZRTYuy0GX+PbxFXvr5s28+sILbNu6tU7d\n4CFDOPv88/HGxEQhsujLz9/B4u+X0OfIoVjeWBI8DpJjnfTyuPlk1f+rbXf2LyeQkeSOYqQiIvvn\n888/r/1ZCSwRaS3ax9G1iIiIiIiISAsyxrAyv4rcYpuqYJi+yZ5oh3TQjDF88dlnvP/OOwSDwYg6\nh8PBqaefznEnndTh9m3avGUr33+3lJXLl5G3ORuAM+LjGHvsaFJjXaTGOUmNdXHl4q8AcLvdjB07\nNpohi4jst10zsPQ/TERaEyWwRERERERERPbT+sIAuSU2OypD9O3kwdHGkzqlpaW8+fLLrFqxok5d\naloa50+ZQq8+fVo+sCgwxrAxO4fvv1vK6uVLKczbVlvn8XgYPPhIRh3anTE943E5qv/uhYWFrFy5\nEoChQ4dq7xgRaVP0P0xEWislsERERERERET2w5ZSm6ydATaX2PRM8uB2tu3k1eqVK3nj5ZcpLSmp\nUzds1CjO+O1viWnnSwaGw2HWrs9i6fdLWP3DckoKC2rrYmNjGTpkMMcfM5QTRw7G7bTo0qULJfX8\nvgAWLVqEw+GofexyucjOziY9Pb3ZX4eIyL4EAgH9DxORNkMJLBEREREREZFGKqoMsabAT3aJTXqC\nmzi3Y9+dWqmgbfPvefNY+MkndepiYmL4zTnnMGT48ChE1jKMMVTYhhJ/iNWrf+L9F5+orUtMTGT4\nsKM56ZjhjBs2CK8ncj+r7du3EwqFase58MILmTt3LgBffPEFRx99dG1bl8uFx9P2l5gUkfbB4/Ho\nf5iItBlKYImIiIiIiIg0QqUdZmV+FdnFAXweJ0kxzmiHdMC2b9vGqy+8wJbc3Dp1ffr147wpU0hJ\nTY1CZM0rbAzlgTCl/jClgTBuJ/i8DkYOPpQlGRn87IhDmTB2GKMHH4rL1fDf1+v1RjxetGgRAD6f\nj9GjR3e4fcJEpG3R/zARaSuUwBIRERERERHZh2DIsCKviuxiG4dl0TWhbX6dNsaw6Msvee/tt7Ft\nO6LOsiwmTJrESZMm4XS23eTcnsLGUBYIU+IPUxYI4XVZ+LxO0hLcJHmddI5zkRrn5JRn/nJA42dl\nZbFlyxYAnfgVkTZH/8NEpDVrm0fcIiIiIiIiIi3EGMPqAj85JTaVdpg+ndrmUkrlZWW8/dpr/LBs\nWZ265JQUzr3oIvoNGBCFyJpeWVk5FUHwW27K7TCxLgc+r4P0BC9JMU46x1UnruI9B78E5Oeff177\n87hx4w56PBGRlqT/YSLSmimBJSIiIiIi/7+9+w6zqyobNn4/U5KZSS8ECBASSiChBAiEGELVhCqg\ngIIFiPX1RURRPlFQBERRVIpYeFFBRKmK9ColBASBkIAJJQ2TSEkhmfSp6/vjnAmTZCZ15pwzM/fv\nus61M3utvffa56zs9uy1lqT1mLmomtmVNSxcUcfAnp0oLmp7b6dPf+MN/vLHP1K5ePE6afsMH87J\np51GeUVFHkrWchZXLmHixMn8e/LLzJkxjUOO/RgHH3Yo/buV0qv8g5ZW5S08blnjh78HH3xwi65b\nklqbxzBJhcwAliRJkiRJzXh3aQ2zFlXz3yXV7NC9E52K21bwqq6ujofvu4/HH3mElNIaaZ06d+bj\nn/wk+x94YJvtMmrBgvd5ceLLTJ08ibffmrl6HyOCTlWLGd6/nL4VxXQuadmgVWMND3/LysoYMWJE\nq21HklqDxzBJhcwAliRJkiRJTahcVccbC6qYXVlDvy6lVLRAd3O5NH/ePP58ww3M+c9/1knbYcAA\nPv25z7FVv355KNmWefud95g48WWmTJ7EvLmzV88vLi5m6NAhHPqh/Tj6kP3p17tHq5dl3rx5vPnm\nmwAccMABdOrUNruXlNQxeQyTVOgMYEmSJEmStJZVNfVMnb+K2ZU1dO1URK/y4nwXaaPV19cz4ckn\neeDuu6mpqVkjLSI4fMwYjjzuOEpK2s4jgVW19bw9bxG3XP9r3n/vndXzS0tLGTZsTw4ftT9jD9qX\nnt265LRcEyZMWP3vQu16a/78+YwbN46ddtqJa665Jt/FkVRA2sIxTFLH1nauViVJkiRJyoHa+sSU\n+ZmWVwBbd2k7t84L5s3jtptvZub06eukde/Rg0+deSa77rZbHkq26VbW1LOkqo6lVfUkoGvXrlSv\nXE5ZWRn77TeMIw7an48cuDddKsryVsa2MHbMFVdcwQMPPECPHj0MYElaQ1s4hknq2NrOVbgkSZIk\nSa0spcQbC6qYW1nN8up6BvXs1CbGh6qvr+eZp57i/r//fZ1WVwB7DhvGJz79abp07ZqH0m2clBIr\naxJLqutYUlVPcUC3zkVs36OU7p2L6VNRzC8uOY+hA7elc6fSfBcX+ODhb3FxMQcddFCeS9O0PfbY\ngx49enDZZZfluyiSCkxbOIZJ6tgMYEmSJEmSlPWfxTXMrqxh/vI6duxZSnFR4QevFsyfz21/+lOT\nra7Kyss54eSTOWDkyIIMxNWnxIqaepZU1bO0qp6SIuheVsSOPT8IWvWtKKFH56JM+fsMyHeRV1u6\ndCmTJk0CYNiwYXRtIjh49dVXs3LlSs4///xcF2+1M844gzPOOCNv25dUmNrKMUxSx2YAS5IkSZIk\n4L1ltcx4P9P6arvunehcUpTvIq1XQ6urB+6+m+rq6nXSd99jD0751Kfo2atXHkrXvFVVVbzy6hRe\neXkyvbcbwL6jRtO9czFbVZTSvSwTsOpbUUy3zoU97tg///lP6uvrgaa73lq5ciU//OEPueOOO3Jd\nNEnaII9hktoCA8XJZQcAACAASURBVFiSJEmSpA5vSVUdry9YxezKGrbqUkLXToUdvFq4YAG3/elP\nzJg2bZ20srIyjj/5ZEZ86EMF0+pq+fIVTJr8Kq9OmsSsN16jtiYTcBuwaAGfPXHM6pZWhf69NzZ1\n6tTV/x41atQ66b/97W8ZOHAghx12WA5LJUkbx2OYpLbAAJYkSZIkqUNbVVvP1HlVzKmsoaK0iN7l\nhXurXF9fz7NPP839f/871VVV66TvNnQop3zqU/Tq3TsPpVtT5ZKlTJw4mX9PnsTs6W9QX1e3Om3g\noB0ZPXI4Rx98AIP7l+exlJtv1apVAEQEQ4cOXSNt5syZXHzxxdx///35KJokbZDHMEltQeFelUuS\nJEmS1Mrq6lMmeLWkmvoE23Qt3Nvk+e+9xx1/+Uvzra5OOokRo0bltdXVqupaxj81nimTJ/Pft2aQ\nst1TRQSDB+/KIR8azlGH7M+O226VtzK2lOHDh6/+d0nJB/Vm+fLlnHbaaXzjG9/goIMOWme5Sy+9\nlEceeYQlS5Zw6aWXcvzxx5NS4ve//z233nor1dXVLFy4kCOPPJJLL72ULl26sHz5cn72s58x/c5b\noCioX1lD30/uC8PXWT0As2bN4uyzz+bdd9+ltLSUG264gd13332Ty/Huu+9y1FFH8ZOf/ITy8rYZ\naJTUtHwcwx588EGmr5y9+hjW+8Q9N1jOu+++m6uvvprFixeTUuLMM8/k7LPP5q677uLQQw+lb9++\na+Svqanhxz/+MY888ghVVVX069ePa665hp133pnbbruNq666irKyMrbffnuuvPLKdZaXVFjaTtt8\nSZIkSZJa2BsLq5i7pJolq+rZoXtpwXS511htTQ0P338/V1x2WZPBq8FDhvCtCy/kwIMOykv5q+sS\nC1bUMmtRNbMW1/DcU08wd+Y0Athzz6F89Uunc88fr+LPV13Ilz95dLsIXgGMGTOGww8/nJQSN998\nM/PmzeP+++9n5MiR7Lbbbnz/+99fZ5mHH36YBQsW8PTTT3PwwQdzyimnMGXKFE466SRWrlzJAw88\nwPjx47n99tu56qqr+OIXv8jcuXM59thjGTx4MLvceBq7/OFU+pwyjLmXPcrf//73dbZRVVXFuHHj\nuPbaa3nxxRd58803OfPMMzerHHfddRe/+tWvOPfcc1vra5SUJ/k4hj333HNrHMMqn5zebPlSSnzl\nK1/h1FNP5Wtf+xoTJ07kxRdfZPz48Rx77LGccsopXH/99WssU1NTw4knnsgOO+zAhAkTeOGFF9hq\nq6049NBDueWWW7jrrruYMGECF154IY8++ijf/OY3W/x7ldSyCvfVMkmSJEmSWtFbi6uZXVnDe8tq\nGdizE8VFhRe8mv7mm9z5l78wf968ddI6Z1tdHZiHVlerautZWlXPkqo6auuhW+citupSQvfOpcRJ\nH6Vb52KOOmg/evXomtNy5dq9997Ld7/7Xa6//np+/vOfs+eee3Leeedx+umnN5n/2muv5eqrrwYy\nrdJqamo4+uijuf766znyyCNX59tjjz3Yeuutue+++3j77be5+uqrGTZsGJe/9AIAXfbbHoC//vWv\nnHjiiWts4+qrr+bMM89k4MCBrFy5kqVLl/L6669vdjn69evHnXfeyW9+85st/LYkFZpcH8MaNBzD\nKv8xDZqJIZ1zzjlcd911/P73v199nCsuLubKK69k4MCBRMQa6wS4+OKL+fjHP864ceNWzzv66KO5\n6aabOOecc5gxYwbFxcV861vfYt68edRnWwlLKlwGsCRJkiRJHc785bXMeL+KuYtr2K57KZ1LCquD\nkmXLlnHv3/7Gi88912T64CFD+MSnP53Tsa5W1tSzpKqepVV1JDJBq227ldKtcxF9yovpW1FCr/Ji\nRu94eM7KlG8VFRVcddVVXHXVVRvMu2rVKt555x122mknAKZOnQrAaaedtsaD3wbLli1j+fLlfOYz\nn1nnIW398moAKisr15ifUuKOO+7g+eefBzKtJWpra9l///03uxwrVqwgpbTB/ZPU9uT7GFa3rLrJ\nbT344INce+21jBgxYo1gFMC2225Lp06dqKurY/To0avnL168mMcff5xnn312jfzvvvsuACeddBLd\nunUD4NRTT2X77bfn0ksv3eB+S8ovA1iSJEmSpA5lWVUdr89fxezFNfSpKKZrp+J8F2m1lBIvPPcc\n9/7tb6xYvnyd9K7dunHCySez7/77t3qrq7q6Ot54cwaVK1bRZ+BuFAV071zE9j2yQauKEvpWFNOz\nrJiiAux6sdDMmzdv9YPYmpoann/+eUpKSrjgggvWyTtz5kyWL1/OwIED+cIXvrBO+qpZCwEYNGjQ\nOts49dRTKSrKBGRvuukmAD772c9uVjlmz57N0qVL2WuvvTZnlyW1I61xDOu0Xfd10urq6jj77LMB\n+J//+Z910l988UWqq6vZd9996d79g+WnT5/ON77xjXXyv/TSSwAcccQRq+d9+9vf5tvf/vZ691dS\nYTCAJUmSJEnqMKpq65kyv4rZS2ooL8kEYQrFe+++y19vuaXJca4ARo4ezbEnnkhFRUWrlaG2tpZ/\nT32dyS9PYtqUV1m5bClbbdufb3znu3QvK6ZPRTF9y0voUVZUkOOFFbIBAwZw1llnAZkHqitWrGDE\niBFrPIBt8PTTTwNw6KGHNrmu5S/MaTJ96623Xj2my8KFC7n//vvp1q0bn/jEJzarHA8//PB6yyGp\n42iNY1jXbFeCjT322GPMnDmT4uJijj/++I1e9/77779Ga9MGTz75JBHBIYccsr7dk1SgCudKXZIk\nSZKkVlRXn5g6v4o5ldXU1sF2PQvjlrimpoZ/PPQQjz/yCHV1deukb9O/PyefdhqDdt65VbZfVVXF\nK69O5ZVJk5g+9d9Ur1q5Oq1P3z4cuO+e7N+/M70qOrXK9juip556Cmj+4e760lNtHUuenkl0KmHs\n2LHNbuPWW2+lpqaGM844g/Ly8s0qxz333APARz/60Wa3I6njaaljWNeRO66TfueddwIwfPhwejfR\nTe748eMBNiogNWPGDObOncuuu+7K1ltvvcH8kgpPYVytS5IkSZLUyqYtrGLukhoWr6pnp16dCqLb\nu9enTOGuO+5gwbx566SVlpYy9thjOfTDH6a4uGW7OVy+YiWTJr/Kq5MmMeuNqdRWfzAOybb9t2XU\niP046pARDNttR1tatYKGh7vNPYB96qmnmm0xsPT52dQtraL7oTvTtWvXZrfxxz/+EYDPfe5zm1WO\nJUuW8Nhjj9G3b18+/OEPN78zkjqcljqGFTfxYsRrr70GwMiRI9dJq6+v55lnnqGoqGijAlhPPPEE\nAAcffPAG80oqTIU1Sq0kSZIkSa1gTmU1/6ms4d1lNQzoUUpJUX6DMvPfe4/f/frXXP+rXzUZvNpt\n6FDO+973OGLs2BYLXtXWJxatrGP24mqu+cWV/O1PNzLt1UnUVlez444D+NQnT+SmX/2Ie353Oed/\n6RPss/tAg1etoK6ujmeeeYbi4uImH6rOnTuXWbNm0b9/f3baaad10hfdn3m42+uYIQBUV1dz3nnn\nrZHntdde48UXX2TIkCGrHwL/9re/Zfr06Rtdjttvv52qqqo1xtT6zne+w/ImxmaT1HG09jFsXvac\nuPfee6+z7CuvvEJlZSVDhgxZ3Trru9/9LimlJsv65JNPAk0HsL7zne+sbzclFQhbYEmSJEmS2rUF\nK2p5c2EVcypr6N+1lLKS/L3LuXLlSh594AGefuIJ6uvr10nv1r07J5x8MvsMH94iwaPa+sSSqjqW\nVtWzsraeLp2K6FFezL777M1bXcoYPXI/jjn0AAb277fF29LGmTRpEkuXLmWfffZpcuyY9bVsqK+q\nZclTMyjuXkb3QzIPhp9ooi7dcsstAIwbN271vBtvvJEvfOELG12OP/3pTwCcccYZAFRWVvLkk0/y\n4x//eJP2V1L7siXHsFWrVjV5DGvcfe7WW2/N9OnT6ddv3fPSI488ssa6q6qqeOaZZ4gIbr/9dn7z\nm9/wve99jyOOOIL6+noef/xxIoIRI0assZ4pU6Ywe/bszfwGJOWSASxJkiRJUru1rLqe1+avYk5l\nDb3LiunWuWW74ttY9fX1/OvZZ3nwnntYtmzZOukRwcjRozn2hBMor6jYom3V1GWCVkuq6qmqq6db\np2J6lRezY+dSepWX0LeimLH/cwqd8xjI68g2duyYJh/+zlpIqq6l24d3JUoydfmXv/wlP//5z9fI\nN2nSJABOOukkAO677z4OOeQQSko+eAy0oXK8/PLLDBgwgOHDhwNw7bXXrhEAk9QxbckxbOrUqRs8\nhh177LE888wzq1tiNZg0aRKXXnopAHvuuScAjz76KGPHjmXFihWcccYZVFVVMXz4cI444ggeeOAB\n3nvvPQD69u27ej0pJb75zW9y+eWXb9b+S8otr1YlSZIkSe1STV1i6rxM8KpTcRF9u+TnHc4Z06Zx\n5eWXc8df/tJk8GrQzjvz9W9/m5NPO22zg1eLKpcyf3ktMxdVM3NRNVV1ia26lDB0q87svU0ZB2xX\nwagdurDX1mVs263U4FUejR8/Hmj+4e/48eOJiCbTO23bg6KyUkp6lgOZVlWDBw9mt912WyPf0KFD\ngcxD23nz5nHFFVdwwQUXbFI59txzT/r06QNkHhw/9thj6x1PS1LHsCXHsIEDB65xDHv/3inrHMPO\nOussBg4cyA033LC6ZdaDDz7IWWedxe9+9zsg05o5pcRvf/tbxo0bR319feZFkJEjOffcc5k9ezaX\nXHIJt912G0VFRTz44IOrl/vyl7/Mcccdxz777NNyX4qkVmMLLEmSJElSu1OfElPnr2JOZTXVdTCw\nZ+5vf99fuJD77rqLyRMnNpnes1cvjvvYxzaru8CUEjNnzebliS/z2quTqK+r54vfvpCtu5bQvVPQ\np6KEPhUl9Covzvt4X1pTRUUFe++9N2PGjGk2/eijj2b33XdfJ62kRxkDLjuad66dwPRx7zDxsFqu\nvPLKdfJdeOGFzJgxg9GjR9OnTx+uvfZaevTosUnluPHGGxk3bhwHHngg22yzDbfccotjoknaomNY\n79691ziGlQ/dmiv+/MAaebp168bjjz/OOeecwx577EHv3r058MADefjhh+natSsLFy7kmmuu4dZb\nb+Xzn/88/fv3B+Cee+7h0ksv5dRTT6W8vJwbb7yRoUOHUl5ezkUXXcR1111HSUkJX/3qVznllFNa\n/ouR1CqiuUHu1HoiIgHNDjAoSZIkacs0PGRNKfm0tY1o6fukNxZUMW1hFe8tq2VQr045DeJUVVXx\nxCOP8MRjj1FbU7NOemlpKYePHcvhY8bQqVOnjV5vfX09b7w5g0kvv8wbr77C0sXvr06r6NKFyy/7\nPoO370uv8mKKDDS0S8NeOneNvycP/0WeSiJJm8fjmJRfbe0+yRZYkiRJkqR2Ze6SGv6zuJp3ltUw\noHvugld1dXX869lneeSBB1hSWdlknn33359jTzyRXr17b9Q6a2trmfr6NCZNnMib/36FlcuWrk7r\n3r07Iw7YlzGjD+Dg/XantLS0RfZDkiRJKgQGsCRJkiRJ7cb7K2uZtrCK2ZU1bNu1lPLS1h/rqb6+\nnskTJ/LQvfeyYP78JvNsv8MOnHDKKey0yy4bXl9KLK+u57GHHuaF8Y9TtXLF6rQ+ffowcsR+jBm9\nPx8aNpiiIseykiRJUvtkAEuSJEmS1C6sqKln6rxVzF5cTa+yYrp3Lm7V7aWUeH3qVB64+27enju3\nyTzdunfn6OOP54CRI9cbbKpPiWXV9SypqmdZdR2dS4LSkiKqVq5gm222YdSB+3HkwQew75BBjkMk\nSZKkDsEAliRJkiSpzaupS0yZt4o5lbWUFhexVZfWvd2dNWMGD9x9NzOnT28yvaS0lIMPP5yPHHkk\nZeXlTeapq08sra5nSVUdK2rqqSgponvnIrbt2pkeZcXs99FDOfPoAxm60/atuSuSJElSQTKAJUmS\nJElq0+pTYur8VcyprKaqLjGwZ+uNBfXOf//LA/fcw9RXX20yvaioiANHjWLMMcfQo2fPddJr6xNL\nqupYWlXPytp6unQqokdZMdt1L6V3eTF9KkroW15MWWkR0HTgS5IkSeoIDGBJkiRJktq0Ge9XM7ey\nhvdX1jOoZyeKWqGLvYULFvDwffcx8YUXSCk1mWef/ffnqOOOY6t+/daYP2/+Al566WVmTp/BEZ84\nnW5lJfQqL2ZAp1J6V5TQt6KY3uXFdC5xPCtJkiSpgQEsSZIkSVJBmTRpEl/+8peZNm0aixcvXj2/\nrKyMwYMHc8IJJ3DxxRcD8PbSGt5aVM3bS2sY0KMTz/3jPn5x4ddZtGDe6uW69ejFzkP25Mo/37/J\n40ctmDePfzzyCC89/zx1dXVN5tl96FCOPuEEtt9hh9Xz5v73HSZOfJmpkycz/+05q+cft/xdhg3c\nlT4VxfQpL6G02PGsJEmSpKYYwJIkSZIkFZR99tmH559/npqaGvbZZx9ee+01unbtyuzZs+nZqFu+\nRSvreHNBFbMra9imaynlpUUcPPajHDz2o5z7meOY+vILnH3RFRx10qcpLi7epDK88/bb/OOhh5j0\n0kvNtrjacdAgjj3hBHYePJiUEjPfms3LE1/mtVcmsWjee6vzderciX323ovDDxrO2BG70L1L2eZ9\nMZIkSVIHYgBLkiRJklSQSktL2WuvvXjttddYuXIlXbt2XZ22sqae1+av4j+V1XTvXEyPsg8CVFWr\nVvL27Le48MrfM3rscZu0zdlvvcVjDz3ElFdeaTbPNv37c/Txx7PHXnsxa/Zcbr31Tt54dTJLFi1c\nnae8opzh++7DEQcN54gD96ZLeedNKockSZLU0RnAkiRJkiQVrEGDBgFQX1/P7Nmz2WmnnaitS0yZ\nt4rZlTWURLB11zVvbf9w5WWMHnvcRgevUkrMnDaNxx56iDdff73ZfH222oqxxxzDbsOGs6wm8ebC\nal6b8gYvjH8cgG7dujHigH358EH7c9j+QyktLd3MvZYkSZJkAEuSJEmSVLAGDhwIZIJMs2bNYtCg\nQby2oIo5S2pYWVPPoF6d1sj/5pTJPP3wPfzhwec2uO6UEq9PmcJjDz/MWzNmNJtvm/79OejDYxiw\n+zCW1QXzV9bRvXMRA3uVsuPBB9C1ppKxBx/AyL0HU1KyaV0VSpIkSWqaASxJkiRJUsFqaIEFMGvW\nLGYuqmZOZQ0LV9QxqGcniiJWp9fV1fGz73yVr/3gZ5SVVzS7zrq6Ol55+WWeePRR/jtnTrP5+g8Y\nwP6HjqXfzrtT1qmY8s7FbN25iB6di+lbUULfimK6du7G2L1Ob5mdlSRJkrSaASxJkiRJUsFqaIEF\n8Oob09lxUTX/XVLNDt07UVoca+S98w+/YvtBuzDysLFNrmvp0qU8N2ECz44fz5LKyma32X/gTgw7\nZAy77rY73cuK6da5mJ5lxfTtUkyf8hK6dCpqkX2TJEmS1DwDWJIkSZKkgjVgwIDV/5765iz2rqyh\nX5dSKtYKIr0z5y3uvPHXXH/P0+usY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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The plot on the right shows the *non-parametric* version of Curve $B$ (the dark blue curve on the left plot). It shows the **distance of curve $\\bf B$ from the fatline base $\\bf L$** vs. **the bezier time parameter $\\bf t_i$**. Note that the control points of the non-parametric curve are placed at equally spaced intervals on t, where t = [0, 1]. The non-parametric curve is just a mapping between the distance from a given line ($L$) and the curve time parameter of a bezier curve \u2013 for derivations see the paper mentioned in the introduction.\n", "\n", "Now we can just clip this *distance curve* or non-parametric curve at $d_{min}$ and $d_{max}$* and look at the corresponding parameter $t_i$ on the x-axis of the second plot and keep parts of $B$ at $(t_{min} < t < t_{max})$.\n", "\n", "But there is a small issue with this idea. The non-parametric curve is still a bezier curve, and it is expensive and difficult to calculate the intersection between a line and the non-parametric curve. If we recursively execute such an expensive operation, the algorithm might turn out to be the slowest in it's class.\n", "\n", "We can use the convex-hull property of a bezier curve to make clipping much simpler and faster. We would just clip away **parts of convex-hull of the non-parametric curve** that lies above the horizontal line $y=d_{min}$ and the parts below $y=d_{max})$. Then we can choose $t_{min}$ and $t_{max}$ as the minimum and maximum values along the x-axis ($t_i$) corresponding to the clipped convex-hull. Convex-hull only contains straight lines and this is much easier to deal with.\n", "\n", "A suitably low value $\\epsilon$ is chosen, so that if $t_{diff}$ on both curves is less than that value, the algorithm stops clipping and returns the average of $t_{min}$ and $t_{max}$ as the intersection between A and B. *In paperjs $\\epsilon$ is defined as $1 \\times 10 ^{-5}$*.\n", "\n", "This method can be optimised further to speed it up, such as generating convex-hulls faster since we already have some information about the nature of the non-parametric curve (control points equally spaced about the x-axis, only 4 points in case of cubic curves etc.).\n", "\n", "In the plot above, you can rotate the fatline and notice how the algorithm behaves when the angle between the fatline and the curve changes.\n", " \n", " *Also you may have noticed the relationship between the clipped bezier overhangs from the fatline edges (on the left plot) and the distance from the clipping points on the convex-hull (red markers on the right plot) and the nearest point on the non-parametric curve along $d_{min}$ or $d_{max}$." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "1.5 Multiple intersections [TOP] " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Like many subdivision algorithms, bezier clipping converges to one intersection at a time. If there are multiple intersections, the fatline would fail to clip away the curve effectively.\n", "\n", "The way we handle this is to check if there is no *significant* reduction in $(t_{diff} = t_{max} - t_{min})$ between successive clipping operation, subdivide one of the curves in half and proceed with the algorithm. Sederberg et. al. recommends a reduction by at least 20% ($\\Delta_t < 0.8$).\n", "\n", "The value 0.8 was selected based on testing and various performance tradeoffs. Any value reasonably within the range (0.1, 0.9) may work with the algorithm, however if the value is too small, say <= 0.5, the algorithm will eagerly subdivide cases where it doesn't need to; or if this value is too high (> 0.85), the algorithm will try to recurse more without much success until, $\\Delta t$ becomes more than this value and then subdivide." ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "1.6 The complete algorithm [TOP] " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*method clipBezier(A :curve, B: curve):*\n", " 1. *Compute the fatline for ${\\bf A}$ $(L, d_{min}, d_{max})$*\n", " 2. *Compute the distance $d_i$ of control points of ${\\bf B}$ from the fatline base*\n", " 3. *Create a non-parametric curve from the distances $d_i$ obtained above*\n", " 4. *Clip the convex-hull of the non-parametric curve, calculate $t_{min}$ and $t_{max}$*\n", " 1. *If either the entire convex-hull is above $d_{max}$ or below $d_{min}$, the curves do not intersect*\n", " 5. *Let ${\\bf B^\\prime} \\leftarrow B(t_{min}, t_{max})$ ; part of $B$ roughly contained by the fatline*\n", " 5. *If $(t_{max}-t_{min}) < errorEpsilon$:*\n", " 1. *add $(t_{max}-t_{min})/2$ to the list of intersections*\n", " 2. *Return*\n", " 6. *Else if $\\Delta t_{current} > 0.8\\ and\\ \\Delta t_{previous} > 0.8$:*\n", " 1. *$parts \\leftarrow subdivide(longest\\ of\\ (A, B^\\prime))$; let $X$ be the shortest of $A, B^\\prime$*\n", " 2. *clipBezier($parts[0]$, $X$)*\n", " 3. *clipBezier($parts[1]$, $X$)*\n", " 7. *Else:*\n", " 1. *clipBezier($B^\\prime$, $A$)*" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "2 The run-time behaviour of the bezier clipping algorithm [TOP] " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "###2.1 Generating test data [TOP] \n", "\n", "A set of around 600 test cases are included in *bezclip_manual.py* file, since generating this test data may take some time (especially for number of intersections > 4). \n", "\n", "The test data has the following distribution." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fig, ax = plt.subplots(1)\n", "fig.set_size_inches((6,4));\n", "x = np.arange(7, 0, -1) - 0.1\n", "ax.bar(x, bezutil.NTestCases, 0.2, color='#f67088', edgecolor='#f67088');\n", "ax.set_xlabel('Number of intersections')\n", "ax.set_ylabel('Number of test cases')\n", "ax.set_title('Test data distribution');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": { "png": { "height": 283, "width": 391 } }, "output_type": "display_data", "png": 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vz6Dcsm4/uF4nAOcAZwMnjkvrbUC4JEmStJj0GTw8BrhgkqAB+MvYgAuA7Xqs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\nVgIk2SjJyUl+kWSfrs7Kbrn1JAKUJEmSForJw9z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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Please note that this distribution of test data is *not* representative of what the algorithm might encounter in *real world*, where I believe, a significant majority of the cases have 1 or 2 intersections between them.\n", "\n", "One caveat of using randomly generated test cases is that, the curvature variations within the curve is often not *wild* enough to produce curve pairs intersecting at more than 6 or 7 locations. In order to asses the behaviour of the algorithm for different inputs, included below are some hand-rolled test cases, with number of intersections ranging from $1~to~9$. As you may remember, the maximum possible number of intersections between two cubic bezier curves is 9." ] }, { "cell_type": "code", "collapsed": false, "input": [ "cases1_9 = [[[ 40.1, -23.1, -5.399999999999999, -26, 7.200000000000003, 52.1, -32.7, 28.6 ],\n", " [ -40.4, -34.8, -6.899999999999999, -31.3, -1, 38, 29.5, 41.5 ]],\n", " [[ -3.6, -42.6, -35.6, 2.200000000000003, -43.99999999999999, 37, 44.6, 11.1 ],\n", " [ -42.2, -13.1, 54.10000000000001, -49.2, 48, -15.899999999999999, 6, 40.5 ]],\n", " [[ -41.6, -22.2, 22, -50.2, -34.6, 92.7, 32.9, 19.8 ],\n", " [ -23.1, -39.9, -35.2, 27.9, 42.4, 33.00000000000001, 42.4, 33.00000000000001 ]],\n", " [[ -44.9, -41.8, 13.100000000000001, 36.10000000000001, 99.29999999999998, 75.3, 1.3000000000000043, -41.8 ],\n", " [ -44.9, -10.6, -3.1000000000000014, -21.3, 69.9, -57.8, 23.7, 42.7 ]],\n", " [[ -40.9, -15.6, 77, -85.8, -75.7, 84, 41.7, 18.5 ],\n", " [ 9.4, 0.4, -77, -100.1, -16.6, 11.200000000000003, 41.5, 43 ]],\n", " [[ 42.4, -29.6, -202.6, 25.4, 189.3, -24.700000000000003, -37.300000000000004, 35.49999999999999 ],\n", " [ -30.8, -26.3, -16.2, 40.900000000000006, -2.1000000000000014, 90.19999999999999, 25.7, -40.5 ]],\n", " [[ 24.2, 42.4, -162.60000000000002, -162.5, 125.4, 89.5, -31.000000000000004, -30.6 ],\n", " [ -39.8, -18.7, 75.5, -37.4, -58.1, 69.4, 42.4, 29.9 ]],\n", " [[ -41.9, 7, 160.9, -155.1, -172.4, 155, 38.00000000000001, -11.2 ],\n", " [ -31.5, 8.2, 184.1, 102.8, -160, -133.5, 16.4, 20 ]],\n", " [[ 25.3, 21.4, -93.4, -180.5, 90.9, 177.2, -31, -15.8 ],\n", " [ 26.9, -22.6, -196.3, 48.300000000000004, 193.4, -52, -21.8, 24 ]]];\n", "\n", "# plot the test cases\n", "gs = plt.GridSpec(3, 3)\n", "fig = plt.figure(figsize=(6, 6))\n", "axes = [plt.subplot(gs[i, j]) for i in range(3) for j in range(3)]\n", "colors = ['#e74c3c', '#34495e']\n", "for i, ax in enumerate(axes):\n", " ax.get_xaxis().set_visible(False)\n", " ax.get_yaxis().set_visible(False)\n", " bezutil.drawCurve(ax, cases1_9[i][0], color=colors[0], points=False)\n", " bezutil.drawCurve(ax, cases1_9[i][1], color=colors[1], points=False)\n", " ax.set_xlim(left=-50, right=50)\n", " ax.set_ylim(bottom=-50, top=50)\n", " locs = bezutil.getCrossingsPlain(cases1_9[i][0], cases1_9[i][1])\n", " n = len(locs)\n", " ax.set_title(str.format(\"{} crossing{}\", n, 's' if n>1 else ''))\n", " for loc in locs:\n", " ax.plot(loc[1].x, loc[1].y, marker='o', color='w', markeredgecolor='k')\n", "plt.tight_layout()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": { "png": { "height": 420, "width": 420 } }, "output_type": "display_data", "png": 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SSuHM+tm+EJVPbFuIyFmK2r7wDhIREREREZFVse4g3cEBHojKDyGcenHXDtsXovKBbQsR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RNccu78Ft2DiDY5SFLjWFd864e5hVR8I0kINEEHrUjx8iafoYo9Edh7ad4D5uBhgR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7EyxLOXFDpnsjBAry15Q2g1UGxdZ/rdDwBsNnwXrQWn3NfONcwOpEdPJ6XLcmvUgWTOUps+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\nd/Q0q7xrm6YYPaCrV+9z5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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "2.2 Rate of convergence [TOP] " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To compare the performance, let's look at the amortised [rate of convergence](https://en.wikipedia.org/wiki/Rate_of_convergence) of the algorithm.\n", "\n", "The bezier clipping algorithm converges to $L$ with a rate of convergence $\\bf q$ if, there exists a number $\\mu ~|~ \\mu \\in (0, 1)$ such that,\n", "\n", "$$\n", "\ \\tag{2}\n", "\\lim_{x\\rightarrow\\infty} {\\frac {|x_{k+1}-L|}{|x_k-L|^q}} = \\mu\n", "\\n", "$$\n", "\n", "Here we use $t_{diff}$, which should ideally converge to 0 at an intersection, so $L = 0$." ] }, { "cell_type": "code", "collapsed": false, "input": [ "results = map(lambda c: bezutil.getCrossingsInstr(c[0], c[1]), bezutil.TestCases)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Reduce the results and plot them." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def reduceTestResults(tDiffs):\n", " \"\"\"Returns (nIntersections, maxDepth, nSpans, tReduction) for a test result\"\"\"\n", " maxDepth = max(tDiffs)[0]\n", " tDiffSum = [0. for x in range(maxDepth+1)]\n", " nIx = nDegen = 0\n", " for t in tDiffs:\n", " nIx += 1 if t[4] else 0;\n", " nDegen += 1 if t[3] else 0;\n", " tDiffSum[t[0]] += t[5]\n", " tRedux = []\n", " for i in range(2, len(tDiffSum)):\n", " A = np.ceil(np.log10(1./ (tDiffSum[i-2] if tDiffSum[i-2] > 0 else 1.)))\n", " B = np.ceil(np.log10(1./ (tDiffSum[i] if tDiffSum[i] > 0 else 1.)))\n", " redux = B / A\n", " if redux == np.inf or redux == -np.inf:\n", " redux = 0\n", " tRedux.append(redux)\n", " return np.concatenate(([nIx, maxDepth, (nIx+nDegen)], tRedux))\n", "\n", "# NOTE: Results are arranged num(IX) from 7 to 1\n", "V = map(lambda o: reduceTestResults(o[1]), results)\n", "splitLen = np.cumsum(bezutil.NTestCases)[:-1]\n", "V = np.split(V, splitLen)\n", "# Group result arrays by number of intersections and normalize the shape\n", "dataForIx = []\n", "for v in V:\n", " padz = np.array(map(len, v))\n", " maxD = max(padz)\n", " padz = maxD - padz\n", " for i, pz in enumerate(padz):\n", " v[i] = np.pad(v[i], (0, pz), 'constant', constant_values=[np.nan])\n", " dataForIx.append(np.concatenate(v).reshape((-1, maxD)))\n", "\n", "resultsSum = []\n", "for tIx in dataForIx:\n", " algDetail ,tOrder = np.split(tIx, [3], axis = 1)\n", " # The summary\n", " algDetail = np.median(algDetail, axis=0)\n", " tOrder = np.nanmean(tOrder, axis=0)\n", " resultsSum.append((algDetail, tOrder))\n", " \n", "resultsSum.reverse();\n", "\n", "palette = ['#f67088', '#c59331', '#82a831', '#34af89', '#37aaba', '#8096f4', '#f45deb'];\n", "\n", "def plotResult(ax, res, degree=3, num=50, color=0, plotOriginal=True, showTable=False, label='', mlabel=''):\n", " xv = np.arange(0, len(res))\n", " val = np.linspace(0, len(res), num=num)\n", " p = np.poly1d(np.polyfit(xv, res, degree))\n", " if plotOriginal:\n", " ax.plot(res, '.', color=palette[color]);\n", " ax.plot(val, p(val), lw=2, color=palette[color], label=label);\n", " mean = np.mean(res)\n", " ax.axhline(mean, color=palette[color], label=mlabel)\n", " # raw data as a table\n", " if showTable:\n", " table = bezutil.ListTable()\n", " tD = [[d, '{:2.1}'.format(t)] for d, t in enumerate(res)]\n", " tD = ['$Depth$'];\n", " tD.extend(range(1, len(res)+1))\n", " table.append(tD)\n", " tD = ['$Rate of convergence$']\n", " tD.extend(['{:2.1f}'.format(t) for d, t in enumerate(res)])\n", " table.append(tD)\n", " display(table)\n", " \n", "@interact(n_Intersections=(1,7,1))\n", "def iPlot(n_Intersections = 1):\n", " n_Intersections -= 1\n", " fig, ax = plt.subplots(1)\n", " res = resultsSum[n_Intersections][1]\n", " mean = np.mean(res)\n", " plotResult(ax, res, color=n_Intersections, mlabel='Mean = {:2.2f}'.format(mean), showTable=True)\n", " ax.legend(loc=2);\n", " ax.set_xlabel('$Recursion\\ depth$', fontdict={'size': 15});\n", " ax.set_ylabel('$Rate\\ of\\ convergence\\ (q)$', fontdict={'size': 15});\n", " ax.set_title('Rate of convergence vs recursion depth');" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
$Depth$123456789101112131415
$Rate of convergence$0.01.11.61.82.02.02.02.12.12.22.12.52.02.12.0
" ], "metadata": {}, "output_type": "display_data", "text": [ "[['$Depth$', 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15],\n", " ['$Rate of convergence$',\n", " '0.0',\n", " '1.1',\n", " '1.6',\n", " '1.8',\n", " '2.0',\n", " '2.0',\n", " '2.0',\n", " '2.1',\n", " '2.1',\n", " '2.2',\n", " '2.1',\n", " '2.5',\n", " '2.0',\n", " '2.1',\n", " '2.0']]" ] }, { "metadata": { "png": { "height": 399, "width": 513 } }, "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAABAIAAAMeCAYAAACHk6bbAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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