{
 "metadata": {
  "name": "A synthetic guitar sound"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "In one of the previous posts, I analyzed a guitar sample of a low E-string ringing. In this article, I'll try to synthetize a guitar sound from the frequency analysis of this real guitar tone. I'm going to test the following hypothesis: \n",
      "- There are only two relevant phenomena for a guitar string\n",
      "- The first one is frequency content: it should contain all of the harmonics up to a certain order and with their relative amplitude\n",
      "- The second one is damping: each harmonic should be damped in a characteristic time"
     ]
    },
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Frequency content and structure of the low E-string"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from scipy.io import wavfile"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "(rate, tone) = wavfile.read('files/Low_tone.wav') #rate is the sampling frequency\n",
      "samples = len(tone)\n",
      "samples"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 2,
       "text": [
        "120800"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "NFFT = 1024       # the length of the windowing segments\n",
      "\n",
      "# Pxx is the segments x freqs array of instantaneous power, freqs is\n",
      "# the frequency vector, bins are the centers of the time bins in which\n",
      "# the power is computed, and im is the matplotlib.image.AxesImage\n",
      "# instance\n",
      "\n",
      "figure(figsize=(10, 8))\n",
      "ax1 = subplot(211)\n",
      "plot(linspace(0, 1, samples) * samples / rate, tone)\n",
      "xlabel('time (seconds)')\n",
      "subplot(212, sharex=ax1)\n",
      "Pxx, freqs, bins, im = specgram(tone, NFFT=NFFT, Fs=rate, noverlap=900,\n",
      "                                cmap=cm.gist_heat)\n",
      "xlabel('time (seconds)')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 4,
       "text": [
        "<matplotlib.text.Text at 0x6a6d3d0>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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T00lPT2/x8m2SlJWVlTFjxgxWrVpF7969GzzncDhwtOGxqDOTMmk/n31m7/fsad5ylZUQ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\nxGPWg5MJ5NgO6yj0pGAMQK5KGKPEt2fM+P38hL9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qfWKFJgUR7LlgYj5nurnNTvqgg5mZ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3P3eDZQ5umOCDaecO2rD81AzdnsmaWpgnhg8tK96fRCaPmrHV26ZxOcQ9/5vG5M8xbx/f/1Tvqp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\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1w7yAex8FOUKuS7sOCzi5R0kcI568/wzNsQV+V67q3uWM3Dso/ZtP5Fg3AHQBrIBKyPhs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\nWJKdCZ9Hb/sAAAAASUVORK5CYII=\n"
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "As one can see in the previous spectrogram, we do see a lot of harmonics. In fact, we can see harmonics up to the Shannon frequency of 4 kHz. As the fundamental is at 82 Hz (roughly), that's about $4000 / 82 \\approx 49$ harmonics."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "4000/82."
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 5,
       "text": [
        "48.78048780487805"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "What we need to come up with is two things: an amplitude distribution between harmonics and their decay rate."
     ]
    },
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Amplitude distribution between harmonics"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Let's look at the first frame of our spectrogram. How do we find the start? We can calculate the energy of each frame and look where it takes off."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print Pxx.shape, freqs.shape"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "(513, 966) (513,)\n"
       ]
      }
     ],
     "prompt_number": 20
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "energy = sum(Pxx ** 2, axis=0)\n",
      "energy.shape"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 21,
       "text": [
        "(966,)"
       ]
      }
     ],
     "prompt_number": 21
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "figure(figsize=(10, 4))\n",
      "plot(bins, energy)\n",
      "xlim(0, 4)\n",
      "xticks(arange(0, 4, 0.25));\n",
      "grid(True)\n",
      "xlabel(\"time (s)\");"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "png": 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kNS1awLx5ZpmDs8+GnTvdTiQiIpFQz1McKykxU0WHD7udRIL5n/+B+fNNQ/n/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\nAABJRU5ErkJggg==\n"
      }
     ],
     "prompt_number": 32
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "From the previous graph, we know that the sound starts around 0.75 seconds. Let's take a closer look at the frequency content around that time. First, we need the right index."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "argmax(bins > 0.75)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 33,
       "text": [
        "45"
       ]
      }
     ],
     "prompt_number": 33
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Now, we can plot the frequencies in the FFT at that point in time."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ampl = Pxx[:, 45]\n",
      "plot(freqs, ampl)\n",
      "xlabel(\"frequency (Hz)\")\n",
      "title(\"Initial frequency content of the low E-string\")"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 39,
       "text": [
        "<matplotlib.text.Text at 0x960c250>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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BMnr0aEJCQgAYMWIEU6dOxWg0snv3bhITEwFITExk586dAOzatYv4+HhcXV3x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\nQSKEEMIuEiRCCCHsIkEihBDCLv8flg3YUAZr9mAAAAAASUVORK5CYII=\n"
      }
     ],
     "prompt_number": 39
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "On the previous figure, we can really see the structure with all the harmonics due to the y-axis scale. Let's see how that looks in log scale."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(freqs, log(ampl))\n",
      "xlabel(\"frequency (Hz)\")\n",
      "title(\"Initial frequency content of the low E-string\")"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 40,
       "text": [
        "<matplotlib.text.Text at 0x97092f0>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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obqZrHOw2oK2tdC3FAxD6EhEVAJfLhTPOOANTpkzBo48+6vf5dgLAIaDaWsPI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\newAAAAFJREFUU9pafaYAAAAASUVORK5CYII=\n"
      }
     ],
     "prompt_number": 40
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "We now see a lot more spikes, which is exactly what we expect. Let's see if we can find an envelope for that curve and just fit the structure of the frequencies on the envelope."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from scipy.signal import hilbert\n",
      "signal = log(ampl)\n",
      "envelope = real(hilbert(signal))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 59
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(freqs, signal, label='original curve')\n",
      "plot(freqs, envelope, label='hilbert envelope')\n",
      "legend()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 60,
       "text": [
        "<matplotlib.legend.Legend at 0xac20d10>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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rYRx+8lgqlTuncgAFZwxbjaZ6DuZHwIlTsLewBsDETu3jfng6f4r/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\nISHzlFAAQkJCQuYp/x9HdiIG19h0FwAAAABJRU5ErkJggg==\n"
      }
     ],
     "prompt_number": 60
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Apparently, this is not working very well. So instead I'm going to extract all the amplitudes at the frequencies $f_n = n * f_0$ where $f_0$ is the fundamental frequency of our signal."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(freqs, log(ampl))\n",
      "xlabel(\"frequency (Hz)\")\n",
      "title(\"Initial frequency content of the low E-string, zoomed on lower frequencies\")\n",
      "xlim(0, 600)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 64,
       "text": [
        "(0, 600)"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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ICMCaNWvw7rvvYt++fQgNDcXBgwfx7rvvyp1Mu2FISYerYk1z966YAMJBz1+x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\n"
      }
     ],
     "prompt_number": 64
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "In our case, the frequency resolution of our plot is the following:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "df = freqs[1] - freqs[0]\n",
      "df"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 67,
       "text": [
        "7.8125"
       ]
      }
     ],
     "prompt_number": 67
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "As this is quite low resolution, I'm going to inerpolate linearly between the curve points to make sure I won't miss an amplitude point. I'm taking code from here: [interpolation cookbook recipes on Scipy](http://wiki.scipy.org/Cookbook/Interpolation)."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from scipy.signal import cspline1d, cspline1d_eval\n",
      "harmonics_freqs = arange(82.5, 4000, 82.5)\n",
      "cspline = cspline1d(ampl)\n",
      "harmonics_ampl = cspline1d_eval(cspline, harmonics_freqs, dx=df,x0=freqs[0])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 74
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(harmonics_freqs, log(harmonics_ampl), 'o')\n",
      "plot(freqs, log(ampl))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 75,
       "text": [
        "[<matplotlib.lines.Line2D at 0xae9be70>]"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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vrAsqw2RG0SmAaDKKMlsZAMAu2GHiTEhJKUMLKJQIwSN4UV79fxkF4Dmq6m5JiIOcT5kK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\nySF14LSyFWkAAAAASUVORK5CYII=\n"
      }
     ],
     "prompt_number": 75
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "This looks like most frequency amplitudes are matched, with some small errors. Let's now generate a function that plays a sound with those amplitudes (normalizing the amplitudes at 1)."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def gen_harmonic_sound(t, harmonics_freqs, harmonics_ampl):\n",
      "    #normalizing step\n",
      "    harmonics_ampl = harmonics_ampl / max(harmonics_ampl)\n",
      "    signal = zeros(t.shape)\n",
      "    for i in range(len(harmonics_freqs)):\n",
      "        signal += harmonics_ampl[i] * sin(2 * pi * harmonics_freqs[i] * t)\n",
      "    return signal"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 79
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "t = arange(0, 5, 1/8000.)\n",
      "signal = gen_harmonic_sound(t, harmonics_freqs, harmonics_ampl)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 80
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(t, signal)\n",
      "xlim(0, 0.5)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 83,
       "text": [
        "(0, 0.5)"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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Uv2+phyM5Wqbg7Nz1VC2rODAlPz1OTPYsRJJUNrWtGNLwhSSybHNR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\n"
      }
     ],
     "prompt_number": 83
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "We can now play this signal in the HTML player."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import StringIO\n",
      "import base64\n",
      "import struct\n",
      "from IPython.core.display import HTML\n",
      "\n",
      "def wavPlayer(data, rate):\n",
      "    \"\"\" will display html 5 player for compatible browser\n",
      "\n",
      "    The browser need to know how to play wav through html5.\n",
      "\n",
      "    there is no autoplay to prevent file playing when the browser opens\n",
      "    \n",
      "    Adapted from SciPy.io.\n",
      "    \"\"\"\n",
      "    \n",
      "    buffer = StringIO.StringIO()\n",
      "    buffer.write(b'RIFF')\n",
      "    buffer.write(b'\\x00\\x00\\x00\\x00')\n",
      "    buffer.write(b'WAVE')\n",
      "\n",
      "    buffer.write(b'fmt ')\n",
      "    if data.ndim == 1:\n",
      "        noc = 1\n",
      "    else:\n",
      "        noc = data.shape[1]\n",
      "    bits = data.dtype.itemsize * 8\n",
      "    sbytes = rate*(bits // 8)*noc\n",
      "    ba = noc * (bits // 8)\n",
      "    buffer.write(struct.pack('<ihHIIHH', 16, 1, noc, rate, sbytes, ba, bits))\n",
      "\n",
      "    # data chunk\n",
      "    buffer.write(b'data')\n",
      "    buffer.write(struct.pack('<i', data.nbytes))\n",
      "\n",
      "    if data.dtype.byteorder == '>' or (data.dtype.byteorder == '=' and sys.byteorder == 'big'):\n",
      "        data = data.byteswap()\n",
      "\n",
      "    buffer.write(data.tostring())\n",
      "#    return buffer.getvalue()\n",
      "    # Determine file size and place it in correct\n",
      "    #  position at start of the file.\n",
      "    size = buffer.tell()\n",
      "    buffer.seek(4)\n",
      "    buffer.write(struct.pack('<i', size-8))\n",
      "    \n",
      "    val = buffer.getvalue()\n",
      "    \n",
      "    src = \"\"\"\n",
      "    <head>\n",
      "    <meta http-equiv=\"Content-Type\" content=\"text/html; charset=utf-8\">\n",
      "    <title>Simple Test</title>\n",
      "    </head>\n",
      "    \n",
      "    <body>\n",
      "    <audio controls=\"controls\" style=\"width:600px\" >\n",
      "      <source controls src=\"data:audio/wav;base64,{base64}\" type=\"audio/wav\" />\n",
      "      Your browser does not support the audio element.\n",
      "    </audio>\n",
      "    </body>\n",
      "    \"\"\".format(base64=base64.encodestring(val))\n",
      "    display(HTML(src))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 86
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "wavPlayer(2**13 * signal.astype(np.int16), 8000)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "\n",
        "    <head>\n",
        "    <meta http-equiv=\"Content-Type\" content=\"text/html; charset=utf-8\">\n",
        "    <title>Simple Test</title>\n",
        "    </head>\n",
        "    \n",
        "    <body>\n",
        "    <audio controls=\"controls\" style=\"width:600px\" >\n",
        "      <source controls src=\"data:audio/wav;base64,UklGRqQ4AQBXQVZFZm10IBAAAAABAAEAQB8AAIA+AAACABAAZGF0YYA4AQAAAAAAAAAAIAAgACAA\n",
        "IAAgACAAIAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA\n",
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        "\" type=\"audio/wav\" />\n",
        "      Your browser does not support the audio element.\n",
        "    </audio>\n",
        "    </body>\n",
        "    "
       ],
       "output_type": "display_data",
       "text": [
        "<IPython.core.display.HTML at 0xb3004b0>"
       ]
      }
     ],
     "prompt_number": 89
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Well that doesn't sound like an E-string! Let's move on to the time decay then."
     ]
    },
    {
     "cell_type": "heading",
     "level": 1,
     "metadata": {},
     "source": [
      "Time decay"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "There's a couple of things here. Firstly, the sound of the E string is damped over time. Second, the low and high frequencies are damped at different rates. Therefore, we're first gonna look into the global damping and then on the frequency-by-frequency damping."
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Energy decay"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "figure(figsize=(10, 4))\n",
      "plot(bins, energy)\n",
      "xlim(0, 4)\n",
      "xticks(arange(0, 4, 0.25));\n",
      "grid(True)\n",
      "xlabel(\"time (s)\");"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "png": 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kNS1awLx5ZpmDs8+GnTvdTiQiIpFQz1McKykxU0WHD7udRIL5n/+B+fNNQ/n/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\nAABJRU5ErkJggg==\n"
      }
     ],
     "prompt_number": 90
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "From knowledge on dissipation, it would be easy to imagine that the damping is exponential. Let's therefore fit an exponential function of time on the decaying part of the signal $f_t = exp(-t/\\tau)$, where $tau$ is the characteristic decay time of our signal. We'll borrow some code from [this Scipy tutorial](http://wiki.scipy.org/Cookbook/FittingData)."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from scipy import optimize\n",
      "\n",
      "selection = bins > 0.75\n",
      "fit_time = bins[selection]\n",
      "fit_points = energy[selection]\n",
      "\n",
      "fitfunc = lambda p, x: p[0]*exp(-p[1] * x) # Target function\n",
      "errfunc = lambda p, x, y: fitfunc(p, x) - y # Distance to the target function\n",
      "p0 = [1e11, -1.] # Initial guess for the parameters\n",
      "p1, success = optimize.leastsq(errfunc, p0[:], args=(fit_time, fit_points))\n"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 91
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "time = linspace(fit_time[0], fit_time[-1], num=50)\n",
      "plot(fit_time, fit_points, label='data') # Plot of the data \n",
      "plot(time, fitfunc(p1, time), label = 'fit') # and the fit\n",
      "legend()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 93,
       "text": [
        "<matplotlib.legend.Legend at 0xd40ab10>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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      }
     ],
     "prompt_number": 93
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "p1"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 94,
       "text": [
        "array([  9.15646841e+11,   2.16959692e+00])"
       ]
      }
     ],
     "prompt_number": 94
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Our exponential decay time is 2.17 seconds."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "We can now apply this model to the sine wave of our previous section."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "t = arange(0, 5, 1/8000.)\n",
      "signal = gen_harmonic_sound(t, harmonics_freqs, harmonics_ampl)\n",
      "signal = signal * fitfunc(p1, t)\n",
      "signal = signal / norm(signal, ord=inf) * 32000\n",
      "signal = signal.astype(np.int16)\n",
      "wavPlayer(signal, 8000)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
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       ],
       "output_type": "display_data",
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     ],
     "prompt_number": 106
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(t, signal)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 107,
       "text": [
        "[<matplotlib.lines.Line2D at 0xd436030>]"
       ]
      },
      {
       "output_type": "display_data",
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Tg8vlwjAMampqKCgouGZdhw8fJjc3dzxKHlcxMXDqlNlViIiMghGmJ5980rjrrrsMi8Vi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\n"
      }
     ],
     "prompt_number": 107
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Interestingly, this starts to sound like something (but more like a bell!)."
     ]
    },
    {
     "cell_type": "heading",
     "level": 2,
     "metadata": {},
     "source": [
      "Per frequency decay"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "NFFT = 1024       # the length of the windowing segments\n",
      "\n",
      "# Pxx is the segments x freqs array of instantaneous power, freqs is\n",
      "# the frequency vector, bins are the centers of the time bins in which\n",
      "# the power is computed, and im is the matplotlib.image.AxesImage\n",
      "# instance\n",
      "\n",
      "figure(figsize=(10, 8))\n",
      "ax1 = subplot(211)\n",
      "plot(linspace(0, 1, samples) * samples / rate, tone)\n",
      "xlabel('time (seconds)')\n",
      "subplot(212, sharex=ax1)\n",
      "Pxx, freqs, bins, im = specgram(tone, NFFT=NFFT, Fs=rate, noverlap=900,\n",
      "                                cmap=cm.gist_heat)\n",
      "xlabel('time (seconds)')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 108,
       "text": [
        "<matplotlib.text.Text at 0xb700bd0>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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cS3m5Hax87twLi6OsDHr1+ur5duyAa68Fp/PC6m1rBw7AVVe17NL7qiro1q1h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\nxGPWg5MJ5NgO6yj0pGAMQK5KGKPEt2fM+P38hL9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qfWKFJgUR7LlgYj5nurnNTvqgg5mZ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3P3eDZQ5umOCDaecO2rD81AzdnsmaWpgnhg8tK96fRCaPmrHV26ZxOcQ9/5vG5M8xbx/f/1Tvqp\nJU6wtgosP5AeLJ1xMedA57A1Kt2VriprYyGajV54RO+u6drCmOj3zV76/FPmMdtbldRkAOabFS1D\nwkTKCwBQlPAufSNNid/3Pfk8n2ff7hCG3+8BRv0ZeZ4VFPRFC5M50e3Ng3S5lM6fD6mih2trnOkM\nFbT9NXphvPN/sfdmobJs2bXYiC4jI7LPnbvfZ5/mNlW69UolClEWfg9TssAykiX7w74ggUoCy+DC\noA8J/CcJYYw7BAZBgT4ERvrwj0DSpy0wZdxRUH4q13tVdes2p9tt7uwzIyMyen+MOXOdsuvnuXx5\nr+BuuJxz99k7I2LFWnPNNeYYY1qcg0EoZeOSpceHHZG+0mIZ6vCUnlKogemDGN8KYX095btsNNni\nTB3GbQBHkkgWIm5xXI6V06CJrlNz7h5f8N3XtSHbryYcJ1vigyulItsj76XdkjJZ05T1wraUl3Im\ncocX3DA+viE6cnzGNVNVRMOyhHPj+DHvL94A19fkpz3pUh2epeZAoTXmbMc16Uo5OS+4duva+LEp\nSo+KwpqjC86v+wfgRJCObEc17PBULAhEtJKsgfEVY6Gi/n6Th72jUyZ9y5TId3dIlEe9pcb3LDnF\na2M5pH6QXeHBZTveIywmmLbLeOPY/Lsfip+YbRBcFUjo/K6lFGXZnGuuwwNxJQcmx2XJ/1gMal1J\nYG9uyUk6veQ9qArb9d9QgVf8nh/woAjLxJvXE+BUhGD5jnN4u+F7Ki0esoenvK+Pb2lRVBR8vt6I\n4zG+AdINy52u8OpaAWPi0RmTq7LAvqdrKQ4BLamq5Cnn6MGJHPQlDtoO10OjyXidJUxAo5XEvBZj\nRyjvvqokMUypZo+WEoNbjGv3EXDUFKPdSBTzPvBwCxyf83ofv6RXWbTguhoccr6uZ4wFw1Mm4nkK\nXH3M0vrTz/Pza/Cz715y3uqaXs5JLSoyJqaP3+K7V2Wy+u4FkiyryKasGW9KOTj4AcewLN9AfiVx\nTyLzbpOI4p9GYPjJqxljod8FDv/993HxU8gp+4nLl2FIQkyWZSjLEoMBfQR+3E383d/9HX7jN34D\nnufhyZMnePvtt/Gtb30Ljx8/xmazwVe+8hUAwNe+9jX87d/+7f8rKQOEPF9ykxmMsG9ge/sasBvc\nYG2Li8R1yUvZxaKak/KdI5uD7TCI5LIQDk6AQSX2GGJrMdsCaLBkqY71YZuf84tS597GQKdkAhCB\n6FarY+DvmzEVNw0QPWtYHHi3JpTtgZygwKWCBTnIwZLy3mLKe3dcbgqeB3RTBpBQkpQ8IcpSFhwj\nJVA3xfJACetFzs+zwVNIafEetTylKEQmCVchysk8I9IznQBjGzitGZwqAGeukZA/3AGwWcItGjQv\n1IRiV/Bk0xvxOrM74cF0yJFaj8l7+rlT8Vdq8HctMOBPbqXEIyU4gCflqmLw8QOxFKgYLP0OUcf1\nDFjs2GpHXbMnN8IvKRlU1QB4MwfeLXhKq0sS1+ua1+0X2B8GfBEsbHISzZ+WfJfbmvwIz2Xik1e0\nJJhOAKcCmiW5GK0eE5vrDPicBBX1k/JDs7lYsuG1B0Ryj+T7VSVluAY5GpmQW7s9vu/1liiHJ6f1\nZE01aCgcwXXChKuuWXrJS45BHHF+uR4TKgumTZWWW8vStCDaif1Is02Fm/ZhXM55nXTGuXV8xjFM\nNkL29gwH5uAEeHXLsQosXlONXbVPXucAuL/nRtk74O+VBZBvOad3W2C9o9+UIkCXp5xnD1P2Jrx8\nBtzeESHvHpgEs645lo5Di5yHG9IHvvQFIcpnTIpmW/r6nT0RW48p1x1sfuaZHAjWc3JlfElM0gw4\nueD72SyB0uMYbIXjmFnAKOfcUk6MW3OjVLR6KPy22T3wP02AL9dA8jETu9NLIX6XwDs/JxzYG5Y6\nt1siHrmgS5dngiRsAWvK5w47nKP3L0VAJeseNTfjeCP2MJWoJvvkQqqgyZfDy2bO5/U8fv5kBtQZ\n/992OH4n4nu2i2SNS8mzPeAhbXIFQJR/kzl7uLa7wOFQFO0TJgz5jr83vRHkTDiqfkhUMlpj3yRe\naQMqqvIDxp1mn2pcRW2UM/n2KfYGqqnMjUaTCY22xJs+cE0cn3MerWfA7SecV8rfHY6Ay58BlmNy\niMuaJbkkBiYrcf8XgczJEwo7donsTxLvtwl/PisZO+pa3l0t+0kBlA3sG8BbFp/B8/mMA6EqzCc8\nxCgw8OwSePlS+Fsp4M4l7nSZIFkWcPuCc/bwDLjU+1kahenpM84BbW92/oTjtFkwmVKlZf+Q82cx\nlkMqOO/jjcSyjPu0Kmv9phywfY6PCuZmU5ZOg64kbQ6T3qNHctDbAW6Pc7kp1iw/jV8/cVJWVRW+\n/OUv45NPPsHXv/51fOELX8Bf//Vf48/+7M/wl3/5l/j5n/95/Omf/in6/T5ub2/xC7/wC/vfvbi4\nwM3NDTzPw8XFxf775+fnuLm5+bHX+6/uCMljAzxeAP/uO3xpvZHJyKOMnJL1nGTLJ0P24VICZw1O\nrLALnL9DRcuL75G/NRR0rd3nxMp23KjmW5KslTM13XAh7MBNpJD/OhAyu5x6k4w+MM2WcI1ybs4V\niIxNQGStnwOHYm4YOobrot4u2lOu2WLA6QkX5HYJjAIGkdMRnylPGfw7A1OaSAXl8XyiBIupkGSl\n7LUTArLj8KTtNQxHZbvhZuu4QGsDvCelErUACDsMAL0R8PgdIWFLOSRo8++HF7wvW0pJVcbFp67a\nLYtIZVXwtKMeN70Rk8Yf/pA/81EKvB1wLpSi6vOacrJcEp2qLLGbaBklVL0Qf6db8vlQA2VEq4i2\ncG5mCyqXemJG6zhMepIV8H9MgZ/1gYccOPGZxGgroP8zJko6AJVMAJ/d9Ti37pbAhWwKav+R7ZjQ\nLSoSnY8FnXAKoNHlnEq2HHc1hOxV2DuPN0NTbltNALQYhB6uOW4HYvHgesYH6NEjw/WxLG6a0xX5\nLOrpNjgBsojv6tFjIZXL/aYxf8apOUfSmAjAesZkxk2Au3ta0xyd8hpu+oYi2uN8yEqgVTIQB23O\ntfNDLqT+Ifb9EXNBEnaCMg+6gCMIynoBrGWDbnosebVlc3cbZqPIUyp4XVdMMjODWmqzc9fjdbVs\noqTpJAKOLjlX4hVw9pZRkW6WRMqap/y5m9f0cWtbPBR6Nufuak2+3GbBjfr8kvNjMTFrajxl4Nht\n6YF3KT6FRUa0cjgy79F1ga/2OQaTCYnQbpMHveVESpRCVXAqJrOlrKlQ5t56Lih1E2iPyK99+QHw\n+HO8t3jDWLOUGFfJ/OkMeIjbLKWrQsx3pMhYLrzPoM0NvhkKfSGjgq/d5kGsf8iE6uBEKBsRk+CG\nzyRiKFy+sDCl5UDI4moh0Qx5H8r/0qQ0T3n/RxfYK0X1ABOKb53X4BzwPMZ2V2xLtpHhHLd6fLaW\n8G4fbomUPz0TvrFHIcRqxvFu9YBH7xJp9AMgEHuSKDOih1BK5Hd3LB8rgvr8ObC2gHcPWFYdimq5\nbAGYCjWkYIncF7sS1Kby0YWUI7dm7uYp76WqeP3eELi7Ia842/FQ9vY7/LsTca4uJ7SAqQWJqyvG\n1B/MgM+JarfIGCPUqDgSL7WjR6IQzriG1nOiaaNzvuuy4L2+eAE8fQrsNkYoYkvJWPuFBl12clB0\nscg4HhcdMfEGhRDdlPNpOmZy/GSAvQl3ITYv/zK+vvnNb+Kb3/zm/+ff/4mTMtu28Z3vfAer1Qq/\n/Mu/jG9+85v4+te/jj/6oz8CAPzhH/4h/uAP/gB/8Rd/8ZNeCgDwn55Ke4UamLwWDoUEDdviy6il\n5JRnwDunb9T75ywTOh4n/sEpEPQB1MDFu0D9Q/HoEe5KEvE6vQPg+JJBKIoYZNtbKgJrsCmt40rp\nwSHykhaAndHTqqzIv+oMmdSMp3SmPukA7ZkQqcWSoucbQ9VmCECC/HIJfO8O6NQkhXsNbr5tSURt\nIdM3QlE3yalO+WybHR3st1uW804vBSoOefqJKiJ86xUwkJKQOjg3PC6+H0yAp23TKzGryDFbSzcB\nJU7rCSjsAvevGPSq0iQkjQa5GOuZcFJOuZHWYIlgm/Kedzd8V34APHsq5WZBcG6vuXHtOTMlS1Cq\nyt1ssHea3qXiaVOx1BI2uei1hyHk9Dno83OmWyKmjQbLuq028CVwQ/y82FOg5u+nMTCsmLj2hqJ4\nE7sGywaOjzifNguOtycobZ6SCHxWU+Wqfke2Kya+LvZ+WkXKclVaUGVcQuZ8yjFIRAFc1yQ3B6Hw\n4hYAFhzfwRHXQ5oKShEDtyWNffOcRO0s4doJ25wP49ci0ugxYXUrBlpFUldSRjh+zGuHXVq9FMKZ\nrEsiirZDrqEaREK4Mp7DRPwKwHkhvmVrjmn/mIhMVXFMQhXgWKacaQXk7h0PgMNzGZOdoHkF10cg\natHxPd+7HlJshxuRcslWU+OZFcj696Xk6/nA8IzjnUTkVFoVzZT9NjlzT95h6dB1uLFAELhe18yV\n/iEVsa2ASO/0AZjlNDFuNAThWPJw2Oty3Xhd4dKFHAvtWRiviMSVUupcvCF4mdwQIe+P3kiWulSE\nPqyA0wP5WVkjUQ48+Tw36G1sOJYNSSaWKdGoZkrVm9/kQaA34saZbDkvFInX3rjNFt/L9A6oYo77\n4JhxONqxmfuRIN41jHIVwN5kNI2F6tDlHNgshEcmvK9K+Ellhr2JbLLlmnj0hGtvF3ETL3Pg+opr\nsip4YNZG2X7Akru2TgvlYLRdivCoR+7c7S2NXFtdJhV5Jpw+OQyrmMTzjHBEy3Tff03/rceXvNcs\n5lidnQJfOuf83sz4DK9eAlbBJKwjB42uxc9xxcIiThmbH6554OwKCv4yBvo2aRaKqk/EqsfzOReC\nLed62KWLvy1AwHxMtWa843vexcC7PeH/bbkXjV8xnmgTd4D0n7O3OD+7QybvQUPU8AsqZzdLoCmc\n1XgNtIacy5sF9yftTNGU/eJhSUW4E7DM2jtiTNgsOQ6dITlss3uD+KodSyHq9H8ZX1/96lfx1a9+\ndf//f/Inf/Iv9Pv/v6kve70efvVXfxXf/va3f+SGfvd3fxe/9mu/BoAI2NXV1f7frq+vcXFxgfPz\nc1xfX//I98/Pz3/sdZKNSGlvJatus5yEkoGhGRovnu2aJNmeyKu7IwOJLh8Y2LyGlAxmwj2Txb2N\nuJh3knFHC+x7lKljeUuI15M5lZe2DKgDljvrmsFyIHyVzYIJzdMnnDiLiXBKbMCKSTx3JKk7PhLY\n+YHXPTrjKaYouNkVGU8JyY5o3RbA9mMmgcMRYOU8QXR6vEcVovSHHJflRBaUCA+2BVGh00sGpl0C\noBb0xmXZ4kuXMl6FLPQceNYERo/4OYUEDD8gctDt8n3kBXA/JiKlJGvbYbJQFByXXLgSgU90Ka9o\nmmiBiziRU3vvgH8/v8Deg241ZbmuHZqNJM35zvpHDKatFhfvMubi3yWE9GuHPKxiB9QN4PQc8OZM\nrrX1jisI0c0aaEeE/C2L1hbwRBAgirSyllKoeP04otCrS24AcMgVarXZUeFCjIVf3VM00HS5OWv1\n32sIonMABBnvy7G5sTUk8dVeeJbDpDsV3lMJcqjWcyJbYYv30R/x5y7XIixoiOJKyvhlxXnvOYYz\nNhLk2ROOmRpudgZv2KhMea9dkaYXksQ0JEnMHODohITiOjKqOOtW+qtKwjU84RxRY0zUfMd7pW4q\nKFxJMUTYExK3EI7rXFRbuRDwE+D0gu/wxXPOO8dl0tk/5HOr6KSumAztEn7fER+qNAZGF7IRxIYX\nCWBvgRDKWG1FXbcTpPLg3JRJew0mwWkMnD8GLj0pxQl6MwqY7MQrrtPzS+MPlcY88OgG1OkzyS4L\nEv49sYQI2iwDvnjF+Xg+Mqa9oST9qfjJuS4PcHHEuREI3aAUntp2w2udXUr5OcK+s8D0lu9IjWb9\nJuPd8oZtcNTypNMXz0H5uf4RkD8w/oVtzsfpmB5pbbGHaUt5v6oACHHck8NAU3FsTx8AACAASURB\nVFDdeC1K1j6bXF8cMz6PTs1e0ZBEpOEDrSOObVFg38XF84V0nzDmd4aScG14yNNyYVO4a20Z4/4R\n/z9e891++0PgC1Iub4tyGOB42YKa/uNL4bSlHDvXZ1/N9Rr44NvA6RM5RK7Y63Y5AQ4kgZvfmbW3\nmlFh3Gnzdw9O+bNzocm8I2XRQubGbme4oXtPSA/46DVwmBurmvE994/liv5szbaZt/mOaFWyAbqH\nRvGfi/q1LSiVmjXXBeB1OK/rlfBHA+z7EG9KEQDZ/Le33uG8KuTwnGwAPycVZR4Dbz1jjL56TQqM\ntilbznkI1T3/+o6K1VaXPL2TH5tF/Kv99RMlZdPpFK7rot/vI0kS/P3f/z3++I//GPf39zg54XD8\nzd/8Db74xS8CAH79138dv/mbv4nf//3fx83NDT766CN85StfgWVZ6Ha7+Na3voWvfOUr+Ku/+iv8\n3u/93o+9pmUBLz+kaunkKQNf6JoTSrTmIk22XGhpSQXNQDlIS55WO+LNojXwVkko3XKAwGMSZTtc\nhMmWMudjhw3KWzZ9ploe/wRYgszlT9+SXpkleWmrBdBeUC2l9hNFztPNqmDCVIA/384B2LyntCaf\nJKgoR/ZLXiMCE4vTNnvDaa81yxJuzUw4Q5IgOSI0WC0ZCHcF3aO7b1hYtJac5Bux1Zjf8z76B/z9\n40vhytwLsT0CRqACVMsWACXWQYsGmDf3XHw/c0HiabSUAL1iUrGciFfckBurI8o5RyTbzTa/5zYA\n7b+npYDNgt8bHnFTyRJBqIRbdjDis97NgG4DeEiAZkGV4eDIIFGxJBc7i0hiLYlU0OHPXDSN1D9c\nSFkxNryruThx6/2GXUnA1kTnqoL3Fi0lkfNZ0ohitulyHG4E7T6DasOnPPxECP7Kp6hL9rscDrlZ\nWFIa3S6Aecqfb/fomxanLCdYAO5fUKVZlby2bQHXLwj3n51xjbT6ROI6fZYWR21RUZXYm9aGHZ6k\np9cMxjW4LuLINH72W3zWXQysroiSdAa0FCht4O23zWY2vREOScaEoq5F3Vpxfaw3fIda4sl3HPPV\nGvh4DvzsJfDocxxnJcinkuwUtYglDqngLVoyhwA8e5ulqGRLW4rFmLGhLLnxBR1DRldD6jJnXFk+\nsASjZZz5A3D+luEoavmtO+SGsF4R9fUXjE/zFUuwPVUuu9xQiwJ4/l3hZ7UFOS/5HGosaslBIl4L\nF82jDUBQMnHyJZmZvObh8/gJxzpaMgEpK6B/wlLk/RRICmA04BrQhu1Zwv6aB4fGzsJxGC/U3yvP\nRN25BbwecPEI+96M83vg5IyH0M2SSVpnwE370akk2BYbia+3UpIOeDhqyaEhkHe1XVHR3GtRWep4\nvJ91AmQ3HOdmaOxALk7YiqwZGOJ6DY6Xcgbn9zzchMJVhE1OYLbjvO/2sW+PdPsx/z3ZsFynys5G\nIDzAVMyrF4DlAj/3BHuvuIexiGxcjr1aV7x6zjV4KMljGvNd9AOuwfE1cPGMMW4x5nrYJ36iRPeb\nRLJQi1OA8OGaYuGBWrqDSOm212EsiDd8J7utVB9C4PEZD6TrOXmMfkOQ1Q0QNRjnXr1iu7uLd4R2\nk8tckdJiq8/5lmyMJ6U2VA87cgBIgJsVcOibONE7YFusUuZEq893N5UDelsqS8kGsHdcB45L/vVU\n7DJaFrmajsexTyLjCWnZgNv6F0pn/pX5+omSsru7O/z2b/82qqpCVVX4rd/6LfzSL/0Svva1r+E7\n3/kOLMvC06dP8ed//ucAgPfeew/vv/8+3nvvPbiui2984xuwLEbdb3zjG/id3/kdJEmCX/mVX/mx\nJH+AL+9MyJRa+1/P+PLXOzF9tYVUW9N3KuxwM8qF59MRiHMzA44ecwEnEVA2Wbr7IALeDWCaIVfk\nCMRC/g9dJm95IcT4BjAMTFuZ1KZ9QLum6WdoMRlY55x0h0Phq034eQnIRTn2DNzd6jFxua+5GI5a\nLL9EK3qyhW0mdc8fgJEqjpZMUnoj+tToppdnHLftLZGTR+ey4WyNkWQhFhVBKPLknVFfvZwA512e\nPgJRUWmbpv8tBr6cEHHwW+KuvAIeFsDJAeAJz0VPpI7H8Q5kA1/PgY9fkyx/JJuj61GYsYt5rcEh\n0aFdjH0bma4ko7vYtDHxJUgrwXRuA196V9CblUF4Xl/RtqTVZnuazQY4PmDAXU7pbH9yyoVevIEW\noOZmODoXMnMEOGJkmqVs1fSkorCjLFkObrjigVWzwbbbAGoPqHfMN3piDfFww2fpHQA/c8T7HN/w\nlNttc0yGoqZLY96T6xIlbjdIHC5ULCDITrTmhtKR5G16wxLAs8+LCMFmQ21bFJmuT0Q2XvMk7zWk\n7JkCiwT7rg9Bm4jjSFDYPOVhZ3jC+5/fA2fPuHbiDe0P8pjlPbUfsG1Z0JbxWct3puzVCBmkoxsp\nLcnGPDwC/g357MUEuB0TeQ7axhswE4Qg3nIswg6vsYuAj54DTy5YhlOUbLPg3ycT7FtlzR5Ymu8O\nhaLwxJC8k5jz9/gR58hyDDx6R2LRnCrwwxPxagtNEtfuU5Ck7XwaTUlsN0ZFGQScTx9OpOtHAfzT\nf2Af3d6Qz+Haoi5d8bPaPRmPMTmyAO9zt+XftUl0S0rA6o8WrbgGtcxr28DlgO8hS3hfjkv1dNAW\nFDXnmARt3tv4NQ9sQZuUkPkd14cfssxVQZDR2tiY9A4ZPzt93ttmCby8Ii8uiLkmww5wLAixbXON\nlyXw+KmhipQF8OFLYCRK2v6I46lu9X06MmEz5/WjTOKoWIcsH5hseD7/fyO2DesF11IhindVADdE\nSTy55lh6PtdXuyso9ZLzOd9QvFHvuKa1Ld2gz4Quz4ArQXQO+7xmkfO5k0iWhexXN7dUIxeJoecs\np0aZH7Q4fvGaB4Zky/k2GGFvBrzbiteeoKD7Vkpy6OiPeI+Lez5n7xHHxspYau0M+N6rigeIRLzv\n4hTYCsVBKQzajm0Xcy3aNv/9UtZgtpPY4onHm6iP65rj12wZeszyQeLeiXAI56QsPB2JjZLPZ5vd\nibWGlNJbUm5VhPmn7eunztH/u8INABh0uwOiCLA5QZcTw7eqK8LrrkcUqNFkcIw2LDcdnDGgwOKJ\nx23w51ZTBpV2jxt1NMe+Tchuyxr+KqJruduQE0NPyNsrTpDEohIMIJFWW2cAPB27PktIhXjD1DX2\nBodew6hPWl2xk1hSFfNm+5TlhJu0Gqm6HqCGm5bFSTxfAqdnRtIOSHCxDPF+s+b1ul3hIJTYN/Wu\nhHe2i0S5UwqM3xebiAcSwzsDQ/RsSylqu+JzLSdC/m0xEUoSQx5WBGYXM0nWnoUqEFD1lGXzvcQ7\ncmlWK/LCtNm0BfKQVB00OOE9RUveR//QlFO0IXHQIipRSTKqPnC7LfatWWoI/0b4gXlqLAOKXDhk\nEghVubpeigCizeeqKqC2mFg2hNfX6cgmCQapOAbOHrFE8+o535nnc15qolBVYksi70YDt9MkulEK\nN0qTepXjt4Qrl6zFCFR9gGbGS8sVtejJE37u1Wsm/b2Ac6XVZeCPNuRDaS9XyxLeosV3EHRYYlpO\nBc0QSbt6hqlyS4NvU/h1i3uO3+DEqDJVDdvuM+HwfCbQg4EgJGKFoOTyGmZj3G3JZywtzpPBIT9z\ndscAr/YFidAUjp7w/WifTMsjP0xVnps5E1E7pxK6M+AcGN/xMJHGPJQpl3N2KweVkBuhelDVtUnE\nx69pznt0KsiYziFPELmKB07lo7kePzcTLuFCEuNmaBAsNewtCv6Oln+bLc77+T2wcknJCNp8X1r2\nRS2HLRmTSjiEsDjGtsv5+OKKwpZmKKVI3YRtrp9GwM9ZTUxbsxpc332hZaBiWdeXg+b3/hmFGmGb\n41jWLO8qkr+ec5M+fMTDZJoCdcD5me+YoC9jchhdi95i777LBCTPJAGNeR+DI45LmQM3M8ATVDBs\ncZ77LeDuNfD4XexV4l1BbrYr/r8S+g8kttY1UeTuiPNnt5XkVWJFLLEwjox6ONkCn7wiyu15UpKN\nBKEU9EdtRFQZ2uoZjlq0YlywbeDqJQ/tqNkiKwXfkWUB7zyR/bDme13MGO90rRe54VXaFsuT8Ypr\nJIlMjAjaon5PgIdXhq/pNYwwSi2TFg8G+bYszo92jxQAC4wPD68FwbYJZug4KkJf5By/Tg/7rhfX\nn7DDhVoyaW9WzxdxRM4xcj0A//h9DP+Lnz5LjJ+6pOz7l5wI8ZYb+1CI142AARE1y0DrFTCSxael\nCO1HNrmWcptFaNdrcJItpizHVRaVkEFIiLgz4IIscp7+3CYnpu/z5UcpkQAXxihQ+0YqXw2W8J0E\neQtbDHLXV3Rpf2SJMqsGrm6EP9Xiz7uO2FKknIy2+By1WmZj0kUXb5j0BC0DR1u2UdAVlZQkHW5a\nVWFI8sqZWy2k1Nbg58cxNzZV3+nJRq0t1jPhJYgnkJpvWhYboo9axtRUJdHzO1G3PWYA2O1YPnA9\njk8W07xydMCfr0omnquMvfaaobSuUTRwx2ClZo08pnGck0i8ulrC7Vtyk3ea9M5KRG14cGZItWli\n/HAAbjBlzQ2ztJhU9Ua8XlVww6hqMYlM6NTt11QB21IGGZ7yOV49J2fDdhjktfzXbJkkJk34X7Qw\nSjPAtNipK0Ou1xLAasr/ty2xy3DE7LFnAmomqiwt847vWNp93GXZx2/yOWybG+HgyJxiLUcUUw3x\ntpMy877VTsQTfVMSXDVoVkPU9Uz4PYGgnILkBB1+RiHlR2171gwZ3PsjbkDLqbE0ObyQRLg2ZfeG\nz9+Z3zMW2I753GabGx8sPn8c8dXGkSRPWnq65jNrGSaJDF/FF9VvthNS/AqYTIHHUnLaCSdJfZui\nhZScAh5W1GdOFXKjcyG4yxzOBI1czrhGRyJo2swZdxod8kXbPcaUMuOasMC1p3Fns2CMmxeMSYcd\nQZE7wO0rzuHBkSTjDSO+0IR5cGzsfKIFY0rQMome+kVFYnty9Jhxaz0HrsZSMrbIz6xBpEz7jmqJ\nL+zwnbkun3F4YlDLthwi1nNT3usdCPJ7bK7VDMTnr2USUbX0uH8wHUu0P/IuAq5uga6otTsSW2Y3\nXMvtgXCWEzE29fh5amys46y8y3jNxMtxzUF0fi8l8SMmVvM7vpdmm0lYnkj5MzHxQpunV6UoyC94\nzcUYuL+iMvOi96MmuEGbz7ueCBfSATJZT7WoipVS4jUZoz68Ji/VdskRXE04D2+3dA04OeN7qCu+\n36DDuZEmjBsP98Djt41p+HbFsn2WsKTaOzSlw0rWd77j2CzGNP2+eMoxSyKYBu9yqP3uS+BzR4Ic\nd/g5szsqbC2bY9Tq8nOLXFrUibAsWpokcHbH5L//772P3n/2WVL2qX5ZloX/PQRQMRBYFvD8NTdp\nnci6AVcVkYFClFZhh4Ex23GCNduEnRtNvuSqZJKSlpSZwyKJMCmBXUkeVxck8bu8BSQAeiAfLAcV\ncDv5swB/xwFNRZcAzgOWHpKSfI6yEkm53F9Vk6fiuSJdX/N7DniK9yRhaQrBGzVw8wAscva6bAp/\nQcSBJN7bnNR5Cmx3vDHLMiq6xYMYsMo11SqkqJj0KWcn7OBH+sCVOZEVLUWuF0IQPWSwU08rv8l7\nvrqhZ5jjCqG2xzIQRK3j+fx7DSGOS/my2ZaSqby7ZshFXGTccHsjjtHijn/O7qTsJUKF0wsGJUs4\naQ/XVPqEPuF72xbCdMnx8xrGUmFyS9Kwbcu120LCB3DziRDdhwa9UvVVXQFXGfDOUE6iFpWLecoA\ntdsCtwtpc9QiUlIUDJxzCejac24xpUWH7TAp6Q2xN1X0m3zezlC8lHyDmkRL2qt4JXByyQ1iu2bw\n1D6cywk3mkaT13dsbnJeQ/ySBO3rSCIULQ3BWv2OAM7B0wMhkyfGvqHxhopZbT2iCDh/Kgaod1Iq\nF8FOXfFwoGWJsiD64DVFaXtEnlq8ITLiiQVGVQI3z6kuPD/lZ6rr/m5LW4u64u8VuSFbh+L9td4C\ndcy154Y07HVcYxpcV1zvNpgU7PlEYg2haFAaM/HMUs5Lz2fJttgxIXc94Pu3wOePRRW4NSa8ScSD\n5ujEmH06HjmB0dLwGgF+zgcz4L0jVgmiJRAMyeNMIiK17a45UKo1jDr2b1dM0upazIcF3VLk3POZ\ncO1iUdnZTJ62Kz5/u29EB34oBO5MlJIVN/t232yqQYvPrwl0U3lZMd+3Jrm22EQoj1IrIo6SbCSZ\nXTxwc26GJgFYr4EqFdpFweTVbxqVns7JltzX4p5rLS1JDzh9wnHSll6K1EQLHta0D+zkiolXo02V\nbtiRhM3m56vB6/6ducD9HVF2VdOrdUe7LyhSSt7cLpZDe8mEXZNUFZq4PmO1iq+2a66BsMs1v12a\ng2+04jzoC6Kr6u6eCEI2c67j3Y5zRTnZ25jr02tgr35dz3mfvQOjbkxjzkdtwZUlfLeDY4k/C77z\nJCI/9FTWbZHxkN/uGM6mVlwsqTS8ntBj8a13eB+LB/6pc2Wph0GXiXZ39Aa6LrSSqgLwr7+Pt/+7\nz5KyT/XLsix8X05lfgi8vGfLGUtMH8MW9p40m4U5SWui4TVIvuz0zOmnyEVNtOUk3CwYfHYVg3BT\nlBy71ASdGEy6QlAtV9TAqjT/79jALiOMXlhckI5LR/lDKYOmCa0XLo74bFnCDXGR8bq9gEhVGpOo\n3RKC+zwDTrqmVAhg347lB1vgH3Wl7LPicx2K3USZGw8XTQLThJuD8jO0jJWKN8xqDhydi1Jpzft2\nXAac+ZgIYVNKfmMH+NyIQcJpMADFa0ECMpYE3AbfXbIV0vYUuJoB7z7hz6/FN8uvsG/sPTjmBhWt\naG6pvmaWLZYlFTfFaG0UnP1DvtvFRKwTbCYmtsNNLMn5XpOdcDUc4cu1TUKfxnxmRzhhns9T7oGg\nsbdXJOxmO3pztTyDdrzpfN8X1GU5Fsn5nAlhdySWFkKi3q4EeQSVq1bOe/J8jr8ah+Yp+Va+D7xK\nSHj3m2ZjU9TvezHw5ZHxB8oS8tBQM5HxfNqKxLEgY7I5aeDdLJignAqRezUjotk74lq5e8n3cPaW\neT5fvNO0XY3rGrVz0Mbe5f5AgnW0YNKwFRuM9tBs/o7LDQQ18PGHwKkoMl0P+5ZLdy9pbOl4hj9S\n15xvs3t+bktQItvhRpTE5IKFPaIlig4pquYLmqiNz3M5xPkBvQoDm4lTs8W5d/cJx09FGZ5vksoi\n47uyZcOuSm7uTUFwFAndbbkOAeyblqv4I0+JnHV6/F09rHQPmFBvpSStitdUfMMmV0CSkpKQZ3z3\nfeEcNQUFe5jw3i8f0fKk32UJtSxpNKoJ+HbJ8WpIZaAsgVcf8hAzX7Cc3Onz2vczkvddiRmuR+7t\ngQg89F14nkH2m6EkXhbjigXgowh474DXrGpB7pssyfdGBp1vSbwrSx5qtBNB0OG6yVMmUfMpOVuu\nJ4pa8XErJNnXRuSurGPtGrBZ0kfw0RHH/DvXwL/2DuMTah5G0y2vOxLDABVeuR4/ZzlhEqrVE1W1\nuw2Wow/EbqUQsUFVciyUhlJI+bUl3nIW+O95xiStyIH7CeDspBpQMr6HHf59J0CF42Hf2Nt2eeAZ\nnBgEOVoY9L/ITNusZAvkcsC1LL7XaAHcjdkhpdXD3sdODdnP3ub9ljmvu3jgs168i32HkukdUXdt\nj6SlWbVqaQqXNlpwDNs9qeY4/LdoSypLshExjCOCrw0wj4Cf/U/eR+8//ywp+1S/LMvCd5+y9OO4\nDLKTKRt8a3IRLZgQtUJu1HXJoGVZVPn4vtScXS7qo0vAGwCogHQOXL+ip4o6mMdrBrSGSNm1cfn9\njK1A2j05DaxYwoSUXZwGT8DrFZWeXsDTEMDPVeRgMZbST8aA7wdMRBwXe9fwtijxsh0n8y4SpK9v\nyO5qkgrwd5IMePK2UZbdPefvjs44geMNx8YRiwbPZ5lhFlOmDYun5GZIErpjMxB2R6YEo62VlJNg\n20LejwBkphR4OwYupZShScbigf/uOOQNuPI+t2uO8dUdgJLq0tGFnLAiKcElRFzUefphwYbzRcnr\ndXoypgudOIZ/5boCl4vkf7ylijXscEz9UNR/MxGICKrUHbKM5grfbzHGvuVWvOb3pysKFrwGUcnA\nZ8DrCnJo23yGPOPYa8uaoiJq57fkJFxyI9KN35Ey53dfsjm7Y/Fzj59i3/S9LdyV6R35a+224b3Z\ntnjYBWazsSAHl4rPnKw5Lu2eJPVLUXP6fC8nT6X1UUHE7oOPgUcjjs/sDvvm0VrWCDq8r1JsUrwm\nnfUPB9j7SbmeuH+HRBPCJjmerscNQc1x1cxZeU5qlxF2uIaWE3nvfbMOHM+UwDI5fAQiRAk7vMeb\nFzz46DXCDvab4eQ130ddCfqYCqVAkMrJFTBdA0dDUaIJ18wPmMDYwun0Gix7e7JONgs67bcDo+Tc\n0wsSPqciE50B78e2se/tGS05f6qCcakZ8P9nc6Kx7b4cIhOumZMnZgNWscHsnqrurnhrHT4ym6Fy\nVssceP0hxVIdhxSKVkeUe02xP6j4jpuBQTnDjjn4NdtcfpqUWzaTWOWwdUXZvW+CvhEFq9BOPv4Y\naIBoT3tgRCKOY1z2HU/4XaI+nF6LH5oYnJYl8PL7Rghgy6HSsQXVbXCeq/+Xfl2/BB494zsZ31Dp\nenDCWDt+bcqfXsNUWpItrZrgkd4QdJjw1TXXl2WLzcWZxA1BjpYzHi46A0NctyyWT4vEePS1pSS5\nXRONzCXRP3tmUGy3wXvojqRsLojjRy+AA1Hx9g7pTVevOT+KgvyusMv1dPRIkrvCIL+ex4T5+NJ4\n5iUbQ6fQkmwcc660e+b3NTm0XX7O9IalzG7XcEFVhNDqcv7bNvdtAHj9ko4Ix5ciFJjwIKCc1TTm\nfGkLkraeMkFr/OL7OPlvP0vKPtUvy7Lw4gt8kdNrvriG8Dy0nNI/FAsByfCnN0yIFB0rRAk0XQDv\n/gzQOxeJ94y8jWjJibERKXldctEMBbGZ3nGSF+Ck6h7wZ+ZjcnMupWyxXlDSHYTcRMvMwKsuqBQd\nDhjIo5WczhJgkwFP5MSlp8i6IsHasYV0vzWnJcfjNQIp2aTCJ1PfqcNL2bjnhrCqp7VGIM+eAM0m\nUYF/uAe+MOQzqR+PbZMbURQMHI0mr3P3gvcTyOY1OMa+B+V2xY0wFH+wrhDMsx2RknwHfPJd/o7r\nMXFru5JYedz8OkNTuqgrkwTpZpDGDCTNQHhItrHZCDsM1vN7QcE65qSqNgGeKBlXG1oVVDWDmW50\n8YYL3Gvw9y1Jmif3fPeqzCokMXOEGJ7uTHlidM4Atrjnc+y2AGxp5SUJnPpL1RDj4ICfHYuCrn/E\n72c7w10BxEdP3vfwRNCXHQOhtsBRAn68BeCyNKebJGwh0DckuFpMuCY3LNt2hrzmwzXLO2XBQNwT\nJPLlK+D0kGvlgxnwuMUNVJFYddRfJUzG2gPahHS7nPNFZjh0ep+6OWo5LU9FORaYcsd2JeUrsUyJ\nVpxPri+IgCPJZiCHjjsief0jsZ1osSxcpZyr1xvgZ9/l+736hMn06VOz4c/l3W1TIoqa9FeFsWRY\nTdnK6+2ngoLKASrbEXlu+Fx/TlPKow7HoiOkZPWQUp6h7fDaV/c8JCn3BjDlWVXaansj7UFbCoeu\n4VMQY5VGmZun4u245LjbrkGcdzYwbLHtzvkJN1JFM0OZ72rcupryc7RMm0S8nqpzVegzH4vHY0i0\nfxfLfcoB4Uc4YqEpBc/HfBcoAL/PTXmzJjXj4tKU0Twf+y4GOhZ+KAIXKSW++gHvvcilQlIzZrb6\nACqDYkVLg9ooH2u7YgKoCkr11ttteY99ERKox1604iGr3TYc0c2C464IqSJ4ipatZ/z81YwJb28k\ngqqSyKDfNElz/5ixOewa3p/GxauPaXKr5WptEl9knPtpSkL9diWIa0HTY+0bq5QB3SeCNtd2d8i1\nmQrNIE0MP1bFMslGVKRyre0K+4bjccrS+nYjCXTT2Lx4yv+txQZE4ttyzIOgHxq/udktD3b9DulK\n2mc5WkqP5BXvzRHBSPhvv4/On3yWlH2qX5ZlYfwL3OAOpKy2nksg94yyBRBOzoQlrL58L0vl5FrQ\nN2Xosn+Xoh1FDty/JiqW5uTktC3jJbazyA07sqms3NWAWzPp+k4GvCXEE1s2zQZY9/YlaShzUwor\nc24MofClHrbkpbXAenq3z0U5XgFzsL/kiXCN0pgnAdcTM78Rr1cI12sxYclA+yBqWUmtB6IFE810\nCzRaRMjWBRsVq1pJk7fZrZRta1Ni7B9h719l2yZAxBtT3lg+YO+krYlzKjwvbczbFqQsS4QQXIny\nsmMQj2Zoxsy2+bnJlosxSwiHO7LZqFN0ngOQkmzQMXyIuhbhgyVIQk5eS1UyQbNFfTddAKennAfR\nhqdiP+DYakKynPyoMWQS0bl6MBDCccAApkHdD/iz0ZL3VBWcK2o2qe2MUoHfC5Ggd+Ta2hbIFfFG\nW07Pk2vx2euZpPP6CuiEgNemwaSqjndbXtsPgKvndPgOejwwKD9qfi+8oB0wEHJ8lvI5Di8kUZME\nsSHJ42bGd94b8R6uPjZKtvYA+4byeU4OonZCqCqxGvBNIuq4wO1zQzBu93lfZcHnVPT14cpYOSgH\naTM33B/lJCXC9VNbA1/4W6qac4THtF1zb9jFnKulqJ+3MdXRniR82gFiIVYiwxPh2CRE5n2f9/Rw\nxTWkbX+Ue6R0iUaTc2m75HN3D7gZAlS9HhxTcOPAIG+2lNY3szdU3yO2zqlrItoWRJHdMSR65Yr1\nRBmoRtnN0JCkdXz6R5xXq5nhecYbgzY2Qz5XlhLJevaU96ycxnhNBFd5ci++L03YRV2oth7TG0E3\nhyIQ+Ah49DbnjGVLbBcKym7L8tyFoElFBlx9CLxOgS+eC1qyBbyQczlNhG1o9QAAIABJREFUjDo2\nWjJRcl3OURWuTK6kBGwbtOXg1CQ6ywdTTnM8mfOpOdBo5SJNjBF3HNOKYiiVjjQxSUWzJcrFNz7b\nlURwPRXOnSSVx09M2V8PQirq8Xzuf6uYJtaez/ELO0Zkpsl6tDRcuu2Gz7ddMpYMTrC3iYk3fIf9\nI74Pz+OYqdiprBgDg7YR6ShXeLsGdoKMDk85zsu5HJI84NUnwNkFxzqN5SAmNJF4Y+J42JVypxy6\naxiRjWVxjOua83TfqWWLfd/SoAW8fAGcn2PfMaXz77yP0X/9WVL2qX5ZloVv9Sn/b6g6SKDv7oGU\nm1wS3KuSp341VLVt4NHnuXi3G55wHFEhpQnww+8CyJlhz8csa7XFAiICfcdcC7gRrpkF4CJkq5As\nIzHWdrgwe32exuOIk7PIGdBc13AjkoTP1Bap73wHNGoS8x0b+95ir+bkrIUWMBKF3sMC6IWcxOsl\nW5b4UtI6OMHeymI1J6etE5iTaKNJ936/Nn5jauWgvT6rUgQFcnK/eSmu+GK26Yc0Xa0zIe13jSlg\nEApfbimlhwNzkp7e8PNcj0FpNeGf7QGDw8t7YOTzc6KInJWq5lhfFcBX3jUnI+WGuMJ/ArBvaLtY\nA3cVcAhTTrSk/Or45LfUNYMjhLMxLYFHPaNS1R6pDbEyCDpMEHojvpebj83pUJHVLDFKvTgBfOHN\nRJLQNEOB8aVE9nBLJZxyJFXarQ2T12u2vLGd/0fSW/Ae9aSpvBj16lnOgUSQuIcIGAiXL+ywrL5Z\n8N+ORME4vxfOEzi3dxnRwkCu2eqZ66sKszdiIEwiJiMnl9hbeJRiCaE97+ABl29x/liO4cjstqKU\nBakF/8sK+MUhE6LDR4acnO3E8kGSx87AKG3ripuazquhlJgWD6aU1u6LSrXg/NU+tEUhpUlJMJst\n+ogFvqB6sUGRmi3srWosixtLs8UmyU3XqO22a5aCGk0+k+eKkMbj/QVtfu58wrWf7hgPdHMNWkxs\n+kfCTYuZQPSOyWVTTp3nkoMHcB5f/ZDPefiI8e/Nhs9hh/elpexU7CsC4ew0Q47Fdslk1XE5N1uC\n8mgLIdQ/eihZjAG/x8Q/TYQon3FuN0ODPo1fsyRWV6aXrXIg232+i8VYVLJdlgqLnImtBaDygMOR\nqNY7UsJNufaLnO/IshjXjoReoeU7tThSlXAmyGtnwLmYCKl/j2Zb5J81Aj6/64iYx2GCr62HXA/7\nPppBi+8kWvB9Kqq2euB7741MOXAXY2+7UwoHrqpEdTtlHAylTKy2QxaMN1i7L0T2N9DloqCK+um7\nfL+bBZNqpSKMzoQLLajvfAEcDI2aeLclaqjCA19QLAU8sp1wHWNBqKQ0rWO/SYheFRnHTW2HbNuY\n9WYp997Nhgh1VUnZXFwAwo5RPd+9EDpBm+8u23EfOHvG+53eCIdT0PQyN6CDdq4AgP6vvY/hZ0nZ\np/tlWRam/0S4JbUxH9XWOoMTBpaHK77s83eEQ+MwgD285otXf5VWDwjPAFTA1T8IrJzxs1Qhs9sK\nJ8QB7hck87c64lUlu1hZYM9ziXdAvgaynNe1BTnbbjhBXd+oJAGpqYuqaHbLzXJ4Iic2OalYUrNv\nNIwzs+cB8w29fYI2kFfGT815Q23T6RukbHJLcmSvA2xS4J3PmXLo+LX458hp7n9+BfRr4O0+F93R\nIRf04PgNIv2D8UiDkFIti8HOlxPVcspANjo3HJAiZUmzrii8cOQkdPJEEtQ7SShB7o2WiEbnHMsk\nIm/K8wz0X5bAzTXd9V0PeH4PHAgBfDPnPWvfwKBlOBCvPzT3ffrEGE5u10Qq8hiobPKdwh7nT1US\nzUk2wPnbHK8kYlByAvJJtCQTi0qpLafrZMNy5/CYm0ORc5MpC8MxUUFGbtGvrKpEpFBRpdTp8nrn\n7zCBn95Iqysp7y3uuYFpgA/7LFvA4niEHYNWpjuiC3sulhCu1fpC31fvUNrOVAyUz38AZOBhIehR\nIarJxGbBd7B8kM4CtlExJlvDR7SkjFvXglDVxlm89NhAXVGJXcz1sZ5x3AYnolCeMHlu97nW9j5+\nCZN7gGhisuG6mt5wQx6emrhRClKu91DkpiSoFhezO/5bs8XnKsSWww+Y1FmCNNWVKBHl0KVKv/aQ\n6OjxpeGW2TbVmV5D5rZNtaXjSfmow2utV8Cjt4SHmjJxfv4B8PRzvB9t6j6/N+VeTYzDLnB/AzQE\njVNVb5YycVJz3eNLrq0apjQ4veH8UIWbH3ItxxtuhLevpYdsk7zUoWyqq4TGqJsF10fQxl7ZrUIU\n5flWFfB/fQS8c8JrNVweYDdbIBqzYmGHVNUq8q0IqCLDlm04xnlqeE+eoMqrKXB/C1Q7iYeqRs2Z\n8DYO2G3CdsQjTbyuqhL44APg2RO5/1iSwgXHryGq7kQqNI4Q+3WtqiXNLgauP5L2S+BaUv5TtBTb\nkS1R5Df5w68+kjJoaGgfVWW8+KIlMFsCwy7f2+iMc3b5IAi8ILVKN4nmBp1uddl3tif0G/WtHMih\n5n4MPH0mpeQHomEnz7BvEK99YLsHjKdpYrp0NEOOv6pHO8K91jK9IosNn1znVt9QkVpdjuP4tXgL\nhozFOsaej317p2TD/VQRTuXpXX/EsfD+zfdx+N98lpR9ql+WZeGbTW7Uh7IJbeYMPN2hUYEsJ2Zx\n2LYExgduhEHbnLjbff5OtCSfTD14VLY8vwNu5iwrhjbJ6p2B2ELkBvHYRXSgH4icv92VDbbg6SCu\naIGhPcSqmqe8XUly7nLOk+9uy02/JZJzPcGrwkh7pllggteWU0FVMZCkAgNnCctuWcUemlnK0trh\nkSFHZ6nhJIVtdiE4HhmkRlVDvUPsFUDzOyMb7wy5QboeUa0qF/i5YCucM7EoKUsJUjXwyT3wSMjA\nuilsV7z/40sGgxff40ns6JFBgZJI2mw4DPLKlUgT02h7esfSkbqzJ3IS1Y0GNUu0AWhRMDoXnkVi\nBAbPV8CXHkv5VlSI6xnw/IoGj3UtSVst9+NJayJR66laEuB9f/IR8Ei4D5ow6KmzqkwpcLmkGlSN\nThW9S2Px4RHOhmUZDpZlc87ryXk+NiUubYS8mouFR0Vk2BdJviObj/LzFL2JllIKLtgjNc2ZADpi\nx2E7nLeDY/785MY8y+0c+NxbBiVINnINi4ih7ZjrlDnRZcsyJ3vPp92Fbox5QSRJ12FDSnL62Y7L\n91CB66zVNhw1baY9OOY7m4+ZoByeY2/KWeRyCAqkrHrEe2sEXLOurIO6JhJX5By/g1NjP/Amx08T\nuzQ2Zdja4lyuaiYstkO3f9cxZHbAEJofXknHDtno8pzX1tJVQ/ymhicGJdCEviyEs2Tzc8oKOHnM\ncY1X4pUI2UB3El8yYGMDn3tq0NkiI6cstLlOW4Lyqd2HotFJyf6zTVGBWyLwWMyZWNUQ5P7UHHLV\nkNqxDR9Q43VVSO/FkOIrLVt2DzjH9X3ZirRuWCJ3XMOvsywepHoDrsmsoODLlZK663A9wGLsHJ4a\noUirxxhQV4x5thy2p7eMa6jZlD7biQXEzqCuHbk/RcNUPVxkhti/fDAHcLVjUbuJug2cH2HfPH27\n4jq2LLHEsICzJ2ZuZ4nENofvVG2d0pwdW+KNEWRdf2RQJdvigb6lTgS2HK7HBBF8n2OSJcCLa6DT\npJWF0jxsl7SfxyODlBWpER8sp3wPXUEWp9dcM/0j3stsSlQ16IjH3Rb7DhaqLNZ+m+NX2Fu1RGte\nZ3QmlBeXa1RFG4B0tbB5AHMFsX7yH31WvvzUvyzLwvcEnnfkNKwJgpZT0oSBW9tsaKuXxQP5DNNb\nbgj9A/67KluiJU+p4zVwccjPuZ4AHpiUNQAEEmDjCvBt4W80SPCtwBZNmdTbhweGIzQbk9+13rJ9\nT9DGvpF2qwd8cgd0SmADoG1zM2rKCXy94sm4huHQAFy8QyHMlyUDYENQrkLg4UAMCx/uuBj2fIo5\nRQ6qfJrfGXg87JA/UJTc7FGbE6H6d718RaWotkrqjkyPuzghEqiBWBOR+T0XjQW5TteobbRHmicE\nb78pJRBJKMYvWabtiEqq2ebzHz/Gvj+c45qTZ55TgaSbb1UzcFYFE6CTc8NrUFsK2zGb4NkzKTsu\nDMH87jntHwCjolxPGfA6B3wPd1cMbJefE2J2BHz4XVpn7P2tNrS8ODhiqVmvk2fcDPKUc7XMDWrX\nbHHeBi1RtbWYHM0mnH+dgUlWAAZyyzKlotWc99mSgFiVYhchZSk/YOLSG5m1VRa8RndExGw5FVPG\nQyMqiTem5FGk3PiDlmlLVVXAP70F3gn5vG7DdH7QzRAwZO0iFb6iHHTyTJAMKacMBR3TzcQPDDdF\nn2k8IXIwX3NTCdscS9ujpck4Ap6dM5EbnnDjLHIzF1yP8UT9tsqcpcYk4XtstjjHBsdcPxbE3HUG\nPH0q/Mom58dizPXTPxLkQMj/jZBj+/oFEM2AXg/YRLQfCTt8Z2WOfd/D7ki4chBaQ82kMBVvJq8h\nVjFSyk8iXm9xb3r+6lpYTbixaRzRw4Kqk59/CBwfG8ugspBNWfhUtiMoTyIVCZe8u0fPDCKjrYLC\njvCbSsPzWk0ZazQh0w28yGjjU1kcZ1jAdz4AHgkHUkvhB6ccn9uPSc3o9YDpA+NbfwTc3DFOH5xK\nMpmQ57VemPJxWWDfVmq9MCX01UTEPKGpmtQ1Y5B2H1G/xr05qtgSRUvgdsIWfl5DzGh7jNs6htHi\nR5GrN5O048ccU6fBvSlLWcbTclyZcx2sZ2wNpd1nVKWrHLayECBCDlDrOX9HE/+OHIqjNeNXo8kK\nknY8qcHfc4QbnIgt0NFjxoFK4lWa8PvtHihcWolP2RHH8+oO8FLup88eMTb3pcRf5jInYnOdMgf+\n2QPwT94TBPNaytAHxpoljjj/p7fAsy/ymfKUz1tVwO0njGm2w7F79h9/lpR96l+WZeHq5xh8cyEf\nb3d01D68MP5AuoC0ketywkm3k8QjkxNm9wD7nm7qv7WZM9jFW57WEwA7AAOp3+9qWmaUNqXieQ5E\nFQm5LYH9F6BDcgVgBiZVPbAlSl1zcntNnmwaLif5ImbyNwxE2SfltZsFRQaBD2Q2PYCSiMqZbpsJ\n5mDEe46WwCqnZ1avTQPVvpDICzGNrQpguWWZL02EeN4SRVHMtkyXj3nT2Y4L1GsQCncEwldH+Odj\n4EDEA4sNcHbEwNEbCRn3OTeaoM1Eoyo55kXBzaiuiQpq3023wY3Z9ZjIKlS+XQMomUhlO0EOfUMQ\ntR0GlqBNA9uOlGuVy6aGlDWYNN1MgVYtvjoWP0tb+ihSuZnzd/uH/L35PVGBzoCfXRYMbC3h02xE\nZq9B7WEGXF4a3ogmEpbFvoYjIR0rERiQoCXPm++AKGbZ1PMNP2i7MlYkmqxsV6aMlafAYsW5oUjk\n9I6ecmcnPLWjZinbD/ju1c9P1b62zfFQjuFmDoxj4Okxg30am9KQ7Zogq5FEE/KsYPklS3nStmzx\n/BLUS8UH6j3kh0booYrfXczDh6Krmzn2bt7K69Em14sHXl/d21UtW4mYIuyahMGX8qnyEdsDgyiF\nHa5rr8GNuq74boqcf9cekmGHCehyyoOU+toBfEcAE5ajMz6X2hMolyvdAeMXQOUyuYjX5oCllg7b\nNXD3StAVsfQIWiSDa+ksz4z57vi1IYi7nkG6NTHSsl2ZC3rZMc/oNYHdjoHrWBSOqynnfCyWKWor\nol1UtitTtooy4PFjk+R6Pse+yMy4pQkbb3sekygVHvRGhi/pOBRBnT/jeOj9u55BqVRlvt2YZyly\nJmPqa+iHjNlrOZTsqw0T4PiE9w77DQ7ugqKOLOGc6h2KGCqQuJWysgBg775fFqLqVW6riIqqkocY\nRTFVZLJdktfqeUKh6cghyxdE+sEcdpROUJV8bm2lpaU/9Y7UDVxpGFXF+bwVFEktKWb3jHfTKRC4\nYjWU8tppwuuPLjjO65lBobTjhsac5VgSOOGprmdiHH6CffcRPzD0jH0P6ULcCioRgiVEr6tKbHTa\nnM9pgn2HjNmEfWSDDvZtArMCsGU+VZX0/NyYyom2p2r+W++j9UefJWWf6pdlWfj4XfGGibEnOm5X\nTKIORenXlE1Zy2tZxkmli71+Q8p+/jYDgvaSjFdcTGoS+r++AN52ycE6HpADhVI4YFv6Y9myUZUl\ng1rTB9YJ4fLRARdsKlCv65Iw6VjcIBMhO2u7k8UEWGyBYYck8KrmNZsid3cbNCBFQZhe5edqh1Dk\n3ADUQsO2mWQ8fwFcnhEyPjyTvph3wrMKgMEpT1HaGipPGZBVUZelwgcqCXXr/ey2LJVUBfBqwvZU\nVgU8+pzhN6ihZp5K+bfiswJiairKt/EcGLa5ARxecBMrcsP9CdrGxyxa85TtB/z3ssS+EfFmQX5a\nEjFZu5kDZwNe7/SZEJAFIYwjfs5yCzx5YoJnXYmRpSg2tf9k0OFnHj/G3uUeNZOVZiCtcyTBuX9O\n/spyRpQWMG1ZNKilCTldlmXavmwXDNztHsfn/rWgwgUhfG3ldP+a1hVhV3gX4jPVbGHfR0435yIz\nPJiXL4DcBg58lomDtvE90lO355uA2wgMaqqJmn5WWQCvfsj3cHiKvXLOD40yTb2ztMx3/8JYN7gN\nzjctx2u5MNkaQ9j5nVHBlTk38eNH2Pc4VbuI5QPvxxceYruPff/I9VSMK0VBfPeCAdyWUsgProGf\ne9dwWxRhn98Zn7ruSN75gmrAz79nhCGO2EXMH4BPYuDMZgm/yIHJgn5m19fAxSPsVbWqJvMD4MU/\nF+uTHdHmjli4KCdHk8vlmM+hnSGWE8MBsx2uw0ZT1K4Z1+/slput+uI1Q0GMclG1VbLppURGOgdM\nLAqx6ekfGi5hWdLEuXdgSrkrKe+qyXGWAS8fgKHN+1S7ikAQ7laPFYpkwzXW7vL/dQ6qmGb8mirU\nuuLc1+Tn9rmhKKxmwKN3+f3rj/jsm5hJV3do0PPNkvQVTcCKjMn06Iz7x8MEODnmO3/8niQXC7Ef\nsjhu3QMp/W+IygQdY+Oxi4mmHz3iZy8m2Lcby2vy2bRxuyZr7TeoHHefCG1lyzFTyxIVgrie8CAl\nEb79hGXeoEWrkCoz+6Rt808/ZKK9njIGRTlwdii2P6HwAp8b1FAVmwdnonr3TKVjOTFc1NGZ4R7v\ntgZ93Ipic7viMx0/FjsUm8/abBmOYtDm73cGXI9XL8SE+IB7cFXynbvCB483ImoQukR3CKyWpFdY\nNvezoM3PPzjhvtn+lc96X37qX5Zl4aN3TIDKEhPg/EB8Xa4l0FeiiJLyxt0t0JTA2Tkid6fVkxYN\nCU/yyZabtOtKMpcaqbRuQHqCyDNgMqPXWKdnvGLCLv9cT7mJeA2eZKIt+435TQNZA0R/1FJAHYuz\nnWnW6vnc6D15pkjsD0pJDOtKeEA7g7rc3TP4t4Xjpr5CzZZYAbhS1nwtvmw9w0/QQJEmwPUPBV0K\nsSdAawm1BgOOevbgDSXg5IrjpT5X+h6WUg7axfxdLcmoT5ZC47NbI6HXfp+aeLouF3tRygbqc1Eq\niVhP/J6IItwGkSJH0LJ4y9Pp4EhaQ024iB3XiC/yDPued35oyq8A9l5QWsaaXPOawxPsfZDmE6Jx\nlyPgyT/C3ix3F5nDQLzhPcQRN1q3IXNNiP21EHLVF+iDD4GgJE+oLIiGHY6wb7mSRCRHHx0b+5Aa\n3PQ8Uar6AcmznqBERWrMi/1QOCAtJperKWD7bAG1WZKn1D/Gvgdr0GEg1N6OzZCoRVc4cbNbzhmn\nwbJhs813pAaY66lBD8uCn7mec663uvwMLX3FEZOoQGw2mlLGjRbYt3zpHWLf21QVdpbN568FZe0O\nZZO1OW6LezN+LfFO6414f2oVUWZiiZARFY22RLWCDvaHQk3+PZ/eSo7LBEPtA3qH2LeiSbbYt4QZ\nj4Fu60eTL215lmdiddDiutA5WZbys8Kfvb6h4lBjSp7KgSYHXr4kT7QlyW0jMIrjZiBeZmKxc/uS\n3Ttsh4llb2A8v7R3abxmQrFcAQcjKed1GXs2C1nrUnpcjoEXU3I4j4Z8RhXKoGZPx+XYbP4NsaQJ\n2iJmmvP+dL0spMyrKN3dDUuWrS72Ddqv18BpwPe7XgGnl4K+Z7wvFScpGuc1GXtXU3KULYvITE+U\niEFbDuprSa5SjuFibBKsXWzG5+E139VmzmS23RXaBLgG/Jage2vGjbJkqfLwkakKFIXx4ctT6Rcr\ne4+WjzcLXrN3gH2fTj80ymdbhA9hB4DNubiaiNlq23DS4jU/ezUBaofj1RaO9XwsKFwN2A0mP7AY\nI1o9eV/CnSxLJtCOHLqGJ/zZXSQN6COKQnzPIKLqyzabsgpky5ocnfF9rua0hVL/UUdK3LbSDCRZ\n3C4IcnQGPJD4wkGzbeDxf/g+hv/lZ0nZp/plWRb+R4fludUOaFo8SXk+odrBMfZu1KmU3iybwe3w\nAvv+d90hJ2erB/gdIJ7SJycV9K2uKIvelxFTcj52IMesWVN5ZoGmhouCCk0bwAsA74B2GrUFvC6o\nInzmEjo+fmJOKfGGAS3PuaFZEGK0y3vbLIBlwes+kgWt8uzNXAxRfcOtU28rbb/U7hnOg7poK7Fb\nOSVlaWTXuZyc1TV7l/AzGk1RePkco4++K70rI/6echQ0cXJconRKpI0jcsJOHwtx+4HjenRmTlmL\ne9p/XMg9a9CrK3IIUhEk/A/XwK88w97lXp+pKAjPNxrmxOQIGb4RGiXUm3Lv6TVPZntfucBwFNUP\nStGIsEeBQOdAkCm1wDggcjA6B8a33Kwg5Upb0K9oJclCAnwkm+LPPjNGx/HG2B/o/V1/wgRndGbM\nJjPZdLV0qI2DtxsGpO4B9g2TtysjZFFV4c0N8MWfZ/KSCAoULYGsZPLlNow/VVeQRb/JeXH1gVFN\nqpqurnldr2k2qO3KoK3bJYOwli21LOk45hBzfMm1WFVM1K4/pIL58Ng8j2WZjV9LOWH3R5HGUg5E\n2jvw/gU3u7oiGqAb5y4i36wv3DpVOdYA0oiBfnRheD+V8g2lBJdKYrWckHwdSFKifTx7I0r8R+em\nHKeq713KxA7gWI3O+GfQYuJ7/8J0HNANryMWIY4nKJpQMhyX6GslyVi8AT76Ae1vDs/5HgfHRi2p\nvnjqhn/0SErMqVjcrHit8UvgW3Pgyx0mBsNTg9r4IedWmjC5D3umhLqZC9I6FEqACKbitSnzRlJ6\nVk/JVs8cqLXVli3oWpZwDdxWwJcuOGfXcx4kbIfvuncofDNbDjoR5/SRKFzjFWPNk/dMef3qFXB4\nwLHQhvFpCVxKMl3XHG9Yxv6lO+A9ze8FiQz5Xi1BHQHxouvy/hdjrr32QA7TJZPhFx/Q8ujg1Ag3\nUMuhZ0xLi7oyVIiNUEuCjlQSrrjOWh2DAt88Z+l8eIZ9r9i6xr5dVLQEShe4fGKqCl5DSuevKACb\npcBJk3vT4JDXnVwBThN4+nmz39y/5DXUssNrGDQ7WjDhLcSJIOxybJrCOx5fMYmMN3wf1hu2IFpC\n3SfPFTC9ErBB1JyLezlQebQqsR1RhItoQb0G4zV/bjYGRv/B+/jCf/9ZUvapflmWhddf4uKd3gNh\naHhh0YoBR7liyj3QsuDkhhtAXfPl5znw+PNAcwRkG6DccdFf/9CQJneysVsWgBqIc3LMDgNTjhsn\nQuYEuV++yP898OTgNfg5SQGcHsvvREAbLEtWBTDNgBi023DAen8IYGEDYQ7kLr2QuiEQZ0T8NrIR\nBQ5PMWUOvJ7xPg59JoKDLidtmhhPoPUCWG54ula0ynZkc0+A0ci037l4x5CHFw9Ef/quIE47WmUk\nAH7mEReh45g+cjPZ8LtDLrylIIeBJEiqAARk0S0o2y8Lfn94ZLg7qxkDotfg/QyPse/9qVyMeGMS\nl2YoCrOtUUQmkSkPomJQiBYiKe+ZTUp5SNNbJi67mNcanRmugwZe9cYZHPNno6WIS2zem5Y1tKfc\ndi2cqIqeU2nM59VEO94I1yTn54WiZq3BZDPPGKB7B9g3Db97zSClSIZyLJQj2fABWPSdcjw6aw9P\n+e8qHvB8+q5pyTPNgeNzjsPywaC9Y1H1NZqAGxIl3m2NP1C2Mz0Ji1RMjeV0rb5yypNJIpZr1GNo\neML7mN2SAH92Ia1aSoNgFlKaLiuWL1s94QVB6AQL9m8sJbFWAU8aG1Pk8S2RsyDk5y8joNeSRHEn\nfKDKINl5KhyZJpP2QMY6EqJ9mQO1TSGP8tDCrpSLE+yd0hXJtywgL4lUeYJeNkTYomVI1Jzz2uC6\nrsRhXpLQxQPn+PBUDhRyqFhOzHxu+Mb6J95Io+iU8aaqTUk77PD9Lcacq+qppchFtGBykYt4yPU4\nz9QaJFoBfpfiGYAHo2jOOKBWMSpe6I8kySzZxqqGJCELJmdRzPs7EWuHXHyvZhNgt+Q9HV7wPsrC\nKAh1B3uzDZfjmecfHIsqfKIbCfeCsjSIZplzPPyW8Jq2jHFOxXmqNkDq21cKRcT3jQnv7I72Hf2O\nKdepdURdycFjzltwXSZSAMdRvdLWSzYEz1Oi+rVwUjdLlmnVI04pG1p6XE0FXctJuYh3LGnqAU4P\ne12xlVhORGk74/fUKHd4bDi04zGNzMOOqGQfiORrq7xaUEHP57xRsZVWXeI1EWY/4BRV42ulx6SJ\noHkwMdqygNs7wMm4rlpt7GkTWmHwBQ1drVmmtizer1Y1egdSVfnF9/HoG58lZZ/ql2VZ+M4xJ93R\npTl5b4Sgr0Gvf/gGSfalcfw9OMfe2Xk1J8pm26ZkNLvlf6sp8JADQxClWoGO+g8FUFrA0w5wswEG\nwiNKYiZGdUUFUW9o1Ge7SE4PAKYRcNjlaWQx4Qmsqni6sxxRONWsrfdGnLTfvgbeDlhOSGJKki86\nPKEvZsCuAh6dMThezYGTFp/fFoGDur/rvRy8wQeY3XJhqc9LnnPQ4C2TAAAgAElEQVTDUtXkesZF\nkGbAyQXgNrmRbBZENQYnAGp+lnoPHZxh38R5Oqa/W7vP8S8LKUWKnFTRTLWRAIx6aLsWLycp564K\n4PPv8L1qSWJ6DZZNG7JJphz3ZmASm13M8Tg4MzymtZQsioKbQF0RuRscGxsA3SyUe3J8yQB+dIm9\nQWKyYSCJ1wygmwQY9fl82njadqQ3o0u7gGaTgaYh5QZF5W5eAG99wRibqrWCOtPXFcuiQYtjp8ap\nrp5Wa7mPDX/Pa/JdrheGeKxIjjZMVvf2T34AlImYYjaBQPzkmi2iDdMbjnP/CPuGxpaFfVP4QOa0\nGvIuHoDLzxskL4mIPjku5+B6Ll5KNTeVquRz6IaghHQ1WlYvvWjFcselEMC1/cx6Dlw/B06kBKUJ\nhetxnFwpC/nCyaxrY8CpTeh1TiZbsdmRjUg99S7eNiVCJcijNsTkUE7sezJ9JkTurtgHpCwJVdWP\nkqZVkbyLOV4q3ND3qt0Tsh05l+cnpmylzaFHF1ICFfTckXmTC4+1rpjAq3lrq8fSoe2wwXyWAB/8\ncwApS22Xz1iqdhxRZoKcpHjF5Fn90/JMuijIwWcxBrqSvNSl8WorCqDK2S/4/FS4fDZw/QKoczk4\nCi/v5Kk59KjhdpoYNLkZcvzyXPz4Sj777Qx4fE5robagb3kmpeUrckmjuSmvNSWZmd9yzm3X/NzV\nVLhdCe9rPZWWeB3G6JagmFnKeKGk8lLUhGnMd+e8ocK0LVYSogX/dF2uY1fmwfPnFIHp4SxLRNlr\nE731W5w36ZbXWYyFJH9mkn2d84NjQ92wLN7n64+AWQacd5gYaz9V7bziiX2MZYvn4bk5VEULxr04\n4vfV5NoPsO+Wgprjpz1ns4SI6+Mv8Pm0m8V8zJh9twGO24zlDZ9jMjqX+W//3+y9Saxt6VkluHZ3\n+v6ce277mnjROuy00yhlyEyUtgzCxh6QEqpAooTwlAlDrBqUgEGVTRVKCQtZSCUQUk0QQ2YMSphB\nDQrSmbbB4QhHvHjNbU/f7bP7pgbr+87/QlCqyiKjVBZxJcvxbrPP3v/+/69da33mDADiiyp83/Wm\nEUK+fNcQg7pil0phYB/GbH35LfT/uWHKoijC5z//ecRxjCRJ8Eu/9Ev4xje+geVyiV/5lV/Bs2fP\n8PDhQ/z5n/85er0eAOAb3/gG/uRP/gSO4+Bb3/oWfuEXfgEA8N3vfhdf+9rXEEURvvKVr+AP/uAP\n/tGH+99qQLtKgL5l0TEmETetKggnoRiSOQf11qqsWrX73PixgIibHaB3ypcZShCQJjgoXkPYgTpP\nzxG2ZZbyZ3pAykKEFQUgXmT8WaVmqgLLCfFAtQYPt1fBYXyEZpFKy1/PpWzdEskBm0bCtuk0NPMK\nfaO71h3hoCe0vKX0w/hEGEQBM5YyNxlkEhrRPtVyU2ZPID350Od6qchkWfLQ6pglVZVe3dGwHUnL\nZvKMAaTr4KB+7rgy1sR6QUoBhpKeJjQAbsWw0wJf1jz+cLafCEMzzdli1nmXqr/mVbj2/saoyMcJ\ncYSeBGZpIvM5KyQu9EdG12p2yedSZ65tqJoIGWaJoWOrUKnKnIQhHYMOkldcXVlwfdVRuZ7RGAsD\nANJWbnSIk8hzHEYiJdK6u9uSNXp0atTTtTJlWcyyuwM6e5QM/JcrtrQ2DeCNUz5TTaoBls1nyGIZ\nRVMxjM1DxlsSv5ckTDwU7HtwuCkxRrklQr/iNCs17q9wyzZ+u2ckYqI952naDsksOtvS8Xg2l1M+\n//iM3wt9g7mybRzU+/drALbBFlbqovgvv7cPAFsAw0sf6NVNAAsIDmfDfysrr997QcHdN+ckDlmh\nK3NWLSt17jt/w3+jAnQFsK5ixXqWukcGD2pZOIzZ2qxYaXE9AdqHZiSXjv9RqQrHMdX/wzUFX6aY\n1+3CiBgPzw0bfXXLZwCYjB5JteOdO84r3S5N8LjfGAmFIue77wj5oybvaL+hHVKsmgYRtaYJUjTh\ny1KRZYhJ4tGKk47QckV+JQkFA3hLG27BSAbpuVzcALcb4HzIaRRlYVTntdrqr1lNs6R6dPU+79ut\nsPpeb/N3J2vgSILL/YadjG6PuKpqQzT4xK9ohQclDvNyX2Qo25KEafV/ccMg07aMTbYcJrT7Pauq\nGhgd3zeJW7Dl+7VsIRAJK9eRKrMFYqOLjIUJuECzKi1ggSRsAzLvO8KuT2JOFlBbUgII1ty/CuIv\nBJ9cOMADST6evM0pHdU6q1B5yuQLpammhjtRMlgJBtWRoFBakZstlQrafe5XnZHpegwqt0vBUEqr\nvtWThG0uRRWfrPGesF+VPR354j8EZ6aVt/kCGA7Z9XA9AP/6LXT/h39mQRkABEGARqOBLMvwsz/7\ns/j93/99/MVf/AVGoxF+67d+C7/3e7+H1WqFb37zm3j77bfxq7/6q/jbv/1bXF9f4+d//ufx3nvv\nwbIsfO5zn8Mf/uEf4nOf+xy+8pWv4Dd/8zfx5S9/+R883F9bVBau1GiIFVdSllRnrzeYcXeFMeRv\nBDjukmHYH/NFPvsR8OATPMhpYhhfuyXw9EbagAKw3GVAR7LpJKGe2BbAPYf3sAyYYe4BPGwZpt1m\nTiddWqT1ZpJRDSXbjAMGdds1MMuJSet5bDsqzmxfAo0KWxJ5zuCtlIw+Sxh8nV7wUH1wBzwYMnBQ\n7FqRCyh6jcOojVaPB8GyzNqmiQlEr6+BV96QwCtjtUFZrTpoNo2Fkt0W+n6bz6uK64o52As1HcBB\n0Xm/ptE7jC3KyCSMIhnZVDdt055gHMqCjEo1fvstg0EVzFSAdyiB3JGwzeptoXgvgSfXwHmfCvd7\nuWalTkMxPOeeml3RiNsuv1/vGEabLZT1d2+BV49poCsVIxapVaRam9feb02LbTunYanWjWFXIeLl\nHfeR6ndpZUjnPd7ugdfv83d2Am6vNkxV0RPnoJifvWbjbdHli8iGtR0GnNGera/eER3U9QeArVag\nBK42wLjOoDdLKPCYSKthsyX+bLsBCgFYb0tg3JIgzKdjGp7I5Qp+ls6m1ApGkRsJkGAnjFKR35jd\nArcR8JKArbW6VFVHEjKzdjwJoMHrLG6B6ZoK7I22qeT5K9oBr0Ln1ekbqQKAunuPHpmkSFviWimL\nIyM5UpYMmpcTkVnwjODryUP+W3E9h7a0b7J8f017FPj8mzQBUAAXr9N26Sy/9RT4zx8AbxzTnimL\ncTmhRpcq4o/OZNJCacDrqRA4nj2mNMrJQ66Vjn9q97lvbh6zYlsU0kk4obNMJOC+eo/Jr+txOHin\na0gEz96mUzy+Z5IznZW5uiPBoyxwGEm0XwP1HiuqScDnVn20zUICDyHsNDrcAxaIXV3sWElq9XAQ\n6R3fF7sVszLf6PCzps+lglU1FUzVXNutTGW0LLkGB8kGwelValzHcC/EhgmT+tZAtDBVAmcJLK5l\nPwlcIAlMcmOByUVqAa9+wmjpadXIq5MIEO65hxW/F+5YmUVJtmS3TmzrxRuGgKJD07MYh7mrZUmp\niJN7MtXmGjh7ie9aK+9xiMMc5kxYs8qMd6T6W6sTO1bvmHb6aoLDmLCu2DAVyk1j/t7syuCHAb6n\n4wt5Z4LPHZ4J3uuG72p83zBUwz0rmsf3zHlZTkTz8/QFhQPBPdeaPBMaUNo228ntHs8EAESfeQvn\nf/jPMCjTryAI8PnPfx5/+qd/il/+5V/GX//1X+P4+Bh3d3f4whe+gHfeeQff+MY3YNs2vv71rwMA\nvvzlL+N3fud38ODBA3zxi1/Ej370IwDAn/3Zn+E73/kO/uiP/ugfPNw7L4m2UsHMTqs6OiA5jVlu\n1awtCqk4f3QEVIUGrpovF68DbgdIV9xUKGnYNwtgUwDtUgK7EpgDEOIQPFcMRo1B2ioBOkJ9XoED\nyytVIAZnL0Z74tFckbaoeqzcBCXQ9TguqelS5yeX4Kys8GcWgEDafokFDCpAbAFeCRQ2GXhFyTXJ\nEgYwQQJYEXDtAPc8VogsS7LWCDgeGjHL2Q0PZJGLMavTqVTqPNDhHgeNIFUDX90BeRXo1ExmpzPs\nSouGFxAF8FhaaQKSzkAtINXHCnZc1Eab156HwLGARBXED5tg7iQms9R1yFrTETHNjglU92uR0gDQ\nrEsAcmIcTVW0xoId8IMfMti+/6oRal3c0kgOhX6uY7oqdcMg1cHXjkPHVBYEcTuWOO8mjbO/MmxN\nryoVPjF0ypp1XBqoWgMHIUR/g4M204nsd38NXN0Ap2NT6dKWTi7v3RYGqUpLbOZ0yJ60ZbR9mSYM\nHptdg4UpcjOKanHLNdLPUYevA+110PN+h4OKfq0hCVJgMCWNtgl0NgsGHf5eJGNEsqU3YPXAtZjl\n+wnQcDnWywL3lQ4fth1m0cqy6oz4+fuNwQIq61SxjEXO+4RUehW7okPaPXkexePFMatXccjz0RZd\npc6ADjhPiV0bHwn7a8OxQg3HzCps9UwGv1sboWMlCzQ6L2guhQxgcmnjbRdSlcuBNONalaUMkJZW\nbbRnK9yyqAM3OufZ1oqGDu1uyv3ocHVH8GBBQOiGJaSmsgRUKkPlLTLBAilTOo1FY6rkugzPDM5M\ntfU6kozefABsdkwuS/B8KxZSMXZpwgq1JTi1xZJVzdOH3O+Bz7XQgKkpOL1ay7BQZ1fcj72xadfV\n2wa/pcLArR73Zb1tRJ2vP2AVXXXXqnWeu/WUe0irqAqOdys46OIt7xjgqXhqtcmATGVJ9B3rQHKd\nOqCEtETIV4MxDlI7/opr5ThG0FwxpzofsxSf50oC4rimE6BV+1aPvzebUONQpWzqbWAd0GZbtmCi\nIzORYjkHKi67ObAYRCWx4CGbvO9cktOTh0xwlhMcWOtxQOhOQ2RPtBJalExcvbpAjDSRlApxrcXq\nuEJYfKni3V6SlanJ127O+1HZmCiQJCIwLXbVAWx0eB/eF99C9b/7yQvK3H/qBxZFgZ/6qZ/C48eP\n8Ru/8Rv45Cc/iclkguPjYwDA8fExJpMJAODm5gY/8zM/c/jbi4sLXF9fw/M8XFxcHL5/fn6O6+vr\nf/TzMgE+t4QCqwOCvSoNjuMAH/jAw5IGszMiCFUNVS7l9N5YSpxSaTh7FQhWPJT9I8ASAGiWAE4I\ndAC8B+A1sH2qX1ECdIXVtE2BHuh8KlXAiYDlgr9nA1gXwANpm5ZrALGAwwUbV6nR4JcO8FCYWZMF\n8QytU97b6IwbPc9oCL53CQwBVB2qarsOh6lXATyosGR+c8V5l+0ecNYTELPFm8pT48Q7QwkqGjQc\n6ymDRweiL9QDBj1m7lfv8RqbJatbP3gfOK7S0CSSuak23OyKazC64LMvbvg7/RPg9AiHWXZFADQy\nHtJwy2rhkTDhdLzLgweC54EEdOBhXdzgIGipdPbdQipIdVMa36+5fv/7j4B/eUrDEuzM/boiQ7G4\n472PH/CAT56bEUK3ewbop1LeB4CBBFv+muvSaBtxVhUw/v5z4MwDzh8wW1XiQqPDLLEQ7aLApyFr\n9fg7CpJvusB77wJrAG+M6US3Kxrm81el+gfu2UDwgzXBoA1PaShvP5Ch0x4dab3JYHzylM9RljCs\nslJwixvgcQK80WXlYnLLalmrSy22do/BtwaZAB2dgpzjkEa7d8TnXk2AeMdnXE9lMLFLgeV4z0Rq\ntwS2PjCOgctrVgwaLali+Hwvim9UBhhg8HLza8NORmlwa7cfCBM7l5bKDnj8PvDoJTrhdsdUDxa3\n3JsnD/m3/hp4+mNiPuOA1xmdGSbvasrgS6Vc/A3tzr1Xabfm13zPrZ5hfartcjzgnf8EnD/kftku\n+D7TGgPZ9VScTUewm6fSWnOZ9Gji5K/FyUk19m7KFpm/Bq4vSRjKEiDckPDTrgFnr3D9L99lC3c4\nZEv61U/iMBmgN+a5TxKu4fxadLwStpltm8/W7HLvdIe8/ydz4NUzIU9FfIcalE6fm/2yjYGLoUle\nbIdEozhiwLLf8po9aYNtl4ZtH+54DhotoFbQN6ig8X5LOZVOn9dRVnCtZqrs+y3wzt8B+Z6diMEp\n13C3BLImsE5MwqIq93kmQqV1A9FQeZbdisH42cuCzRWSkyZaWQI8nQMnGzLSYZmJA80O7dDh3q+B\nXQ6cyV5WopRtcY8sNsBrb/D9+CuZJdllQJMLxKQzEjtfAa7uiL3TSTBJKHt7A3gSLCkj0hM8Zyas\n7/+8BH7mnElrX3F5YivcqhQsBLPZkgD9/bdJ2oEQ4BRmoEl3FNC2244h12QJmaiOx/OcxKzctYTx\nXREpk0wgJUlMX59GwHwHvP6GYKgD+sGftK9/clBm2za+973vYbPZ4Etf+hL+6q/+6kM/tywL1ot9\nsn/i13+4A7wFX/4XT4Gfqskm6BvtpDcFg6BjlrSVtp7JaArQwKAOSu9bAGKg3idA2d8aBe8sBS4E\nh/RmSMG6fp+bROetKXB4uDfaYl5VnIgrWWEk/fBIAKzCihudi3aU/FsHWS9veQ8Xrxn22eDE6JFF\nAbBOgX/zJg7CqXlOR3HyEg7q47YDnJQmc6+J7tBmBtxOjMBi94jGZH4jumKOCCiK4ai3+RmRz+xJ\nR1udPOCB7ktgtRMwarMjwUVDWiBVA4x3OlS7Lwq+j50wkvKczES3JHizLIC7W7Zv+8emqpTnXAdH\nnN9+zZbyI8EShDsJDEGjtlqyxVsVivZmBrwmVQ/HZebbaIv8hLybbs1oS5UFA5//4xp4mAMPBjjM\n5CxLI3o5OBGdOmH9rffAeChg9TrwiTGrQ+s598lYqP5a7W2PpBTv0rmXQj7RCnClCrz0suCR5AwM\njiUbrQHo8dk7Y6CXM0jwV6ZtqtUZVWnXYb9JJJpxlrQXfKCyZPBwfAHsW0BxQ0FkFMQq1pt0JKcv\ny9DsPQ10R6qc6ykOA4t1luPlUwYFtSaryq2GSXx0kPduBewTyhYMT/kOH0q7qT82rYrljJCAhrQ3\n1eEVBdelf8KgTVs7vWPzO1q5DQSP+uan+TurPVCxeI1qXVpdnmmLN9rAoze4XxyPgXtZ8rkVM5OG\nDDamdwy+LZs6eXsByfcimRM4NeOwBid8F298VsglUu0anklyseJ7LcFW67BD56z7OY6MDmGjzWRN\noQJuiz8bXQBv9FmRakiV4pWBkfsItvysoeDrmnWxEREwcph8KWSkMxA5mhbgFgxS6m3uRcvmtdwq\n2YW9Y0PmSGLg+rHYxIwkIJ3ocarSBjDYtom0W5sdHMby6GzDpsgyaMWzI629bWlYxHshvuw9oGOb\nFlyzy2QsFVu8X7Py6ZwBodhp2zIjewrwucqM32v3hHmbmQrr/Jrvo9EyIsXaWmv1ibPNClY2KyXw\nxn1guZHRZWPCCyKf95hl/O/u0EjIbJemHV9pAJZH32FZPP/BlpCQKOT9js9xmK95+WOeP8cFXhGS\nTL0u2oE7BpCNBvGdKAzL9vqWeK7+Ce3VvxOcoeINbz7geozv03UpKUkxio0u2ZFFJpXAUgopOQ6T\nK3S80+yK69Ae0HbOb2TPSbDnOiIHIhJNjZ6p8iqm1l8Dxx4JKcEGOP13/9XCjv+ir+985zv4zne+\n8//67//JQZl+dbtdfPWrX8V3v/vdQ9vy5OQEt7e3GI/HAFgBu7y8PPzN1dUVLi4ucH5+jqurqw99\n//z8/B/9nN9+g5G6VwNORQcmS2i01jPg+g44Hohx2Iv4orTJVNyzK3IQKjxWFkAZUSeoyA0zS3W/\noj0OUhr+Ckj2wq7xDFskCElBbrQA2HTEP1oCiLmpIlDmolEHZjEP3JMl8CADnrwL1ARkHex5oLpj\nGvfFNXCz5kHuC9XdqxmK8/yaLRbXBZ68x9maqg1k2VyX7ggHXRhVp/fXbK3uVsD7EVCsgNebZu6j\nBXGmIsuwX+Mw0DpNOfjWX5PF9d4C+OQ94hHyjGuuQ6a9qpTiBSPleszObz6QMrpHwxOFrEhYFh3p\neipSCzVTUQKEkZizpD6/ZiBVbwE1Ka8rKyjPaOBe6zNT3W8F79UyDLQkJEbqxzHwUPAZ43s0uvsN\nwehqxLMUeMUGeoKVWk/5LmpN2bPv8f+VKed4wKOX+QzxXpxAQo2sXQm8/oDX3C1FniAXx9oCHr4h\noN/YCKL6axHKDIHLGwZ3KpyZJQBKQ20PttT5qXfoEFxXgOs7Q0mv1GjoXA9475KVPp27eTI2OKKe\nMInrdaBa4DBkfrsSDbMYuNwALx8bTJzinVYT4O+e0sgMK8QkbRbA7RqoW2xXadsrTxi8jO8Do7rR\nA9N2aGdoHIIOqLYA7FPgh+8DQ0lc3kmBT1aBR5+RoESqD+sJA7ldAPSljaWK7HHA67/+Ce7t2aUh\nO8y3UtkugO/9ABjW6EjS2LDEwoABdntgpHJaO563p8+B++fA+csMxvvHrMTsFkIOqgPP32FVSIk1\njTarVt0RnfNuzUSr2aEjvnkfeHoLjDvAWMhEhbTzjs6ZrOhQ+l7XqKbv1lIJHhr7oKQNrVBtA6BZ\nMZ93Bu4bxYv6mxfGg02B05e4J0LfjLlKIq53tc7f2y65bxVfpni9yYT7YXyfmM5gI7iv1FRr49C0\nyJOQ+3x+SxB6sysM6z3PzVHPVGeVOT08A5Jro69Wa/Js9samlZYlck5DBoquVBNV1LbW5PNXG0A4\n4TqOL3DQPltMRZhVqli3H8ikia5hUPfGhrmrQ7ebPWMbg62Qt0QpQGfKVmp8FleIFO8/oSr/5Rp4\nIMS1cMvgrt4hO9ep8N4u3+UZGZ7Qbq9mOAxUn14x8Bzf4zvbLbgGw2PuOcsBXnlF7L3gxryqyIoI\nTGMs+LVwx71UF1vY7JpE0l9zr7UH9A9JTD99OwXe/BfCtFVbKlJG/pIB5egYsFwmLVoA0XFNKrZ9\n9WNDIGsKyUZboLsl0Px/HsL8V/v6whe+gC984QuHf//u7/7uf9Hf/5MwZfP5HK7rotfrIQxDfOlL\nX8Jv//Zv4y//8i8xHA7x9a9/Hd/85jexXq8/BPT/m7/5mwPQ//3334dlWfjpn/5pfOtb38LnPvc5\nfPWrX/2/BPq/+4iHuiyBm2cAKsDLrxkBxM2SRsOyTA9b1cZVA2i7YVXiM/+WGzhcc9PdPQWeP2MG\ndZewnTJs0QFMYwZVzYowbzwgTCiTcerS4T/JpX0EtjFP6wIEjwErpeMdDE17Y++zPeha3LD7CFgV\nHGw+6hO4WXGA9VJA6VVu/psAGDp0mIoNSzNTooclWC8LSAugJ5ldIdTpJKFDXu+BowHXsgT/rlYT\nYL3gGGp10XwqmVV5NWNUHc+o1HsVGq7TR1yb2Q2wXrEVUqnx89cT/q0tlPBgx59ZNrWx7IL30WgZ\ngoIym14c6eGvgdkdqzhdaXlMn9OQKRh/uRLsWp3Pa1lAmAJOZqpusyk/M0uZeXdHote2FYxCyUCi\nWuf7TaS8vt+yiqNyFpFPB+PmNIx+Dlywe4/ZnWShNb7HWtU4UQXyFyUHdofiONqCBSoy7k+dJbrf\n8G+uroBn0lb+zLEoaEtLe7Piux2eSWIRS5U2otSFK+BqVxiq8Z7PkCbiNF3u1+HAsOQGxwaAbtv8\nvr+lUVdMkW0B18IOtV2yGHdCk++KEK1i0ZKS1dAg5rvpdsh+1ZFaWm3crrn+RQ48+TGQx5QTyW1W\nq7VFvFmQldZpcu/U2/ys3Yr7F5bJqGsNOqdqlQ5QhX4B/kxbgdsFx5n1ujynRQkMpaI92wLjnmDQ\nAml/F/z79kD2/5UEKxngWQQwAwxUtToKiLOTyp1qtmkVtiiYtLQGppKYpqyS6dD3PBUdsYRs077c\nVxLjMMBemeKbBZ87Tfm3Wi0cCRvT3wirN2YSUW8K+9ilndHB4aHPQNqrGQZeHHIPlABgMzFLY7bX\nxiLhMbnmWLDRKYOkxa3RaOuPDU5stwcuBDbgr4G7Cauqna5hcs+u+D47QmzKYl5rsxC2vEusbssT\nYoOwV+MQmM2BXkswSMKmXa+J9W22zfq7VV5Xxw6tZ6yOdo5oe/PMyJ6o2HSeC8knAs7vmUqgvzZ4\nt/WU9xL4OMxgVda4TjK5vqIuZVnKSK6Cz2YLEx8efUmjY3xdGjNot4WooCOO4pjvQwsTrlTZlORU\n5NyLrsefd494v5sp98Q24Yi+zhHPxYuCuVuf7O5CCD1lQQ3RNAc6bcO6V1xd6PNzdAybztkEzN5z\nK/yf2gO3yn2+3/Aso6C/SxLRB0wMiaLR4d+WBWD9m7cw+L1/Zpiy29tb/Pqv/zqKokBRFPi1X/s1\n/NzP/Rw++9nP4q233sIf//EfHyQxAODNN9/EW2+9hTfffBOu6+Lb3/72obX57W9/G1/72tcQhiG+\n8pWv/IOATL+U0lytAY8+yc2zXQJ1BfxCWiAbvtDukSmrujWOtegecROXFoABDzcy4Ewc4PwGaApD\nqiyYjT/ok90RJVy0NAbCEqiAZelKFfhUm4YKME786YYd0h8DeAM4zDwDAC9m0OBIJeMmJvYsFiB4\nTUDJ1aphfgYxcL/Dfy9XwOWcVbQ2WL3wpO2YpHTCtQo37WYN9KWCUbV4KDxlKMnhmV4DkcgZ9EZ8\nxlKCju6IAdDskpWBhgDTN0sagDQmhqLI2S68e4qDXk9R8LD1xrwPB1IFEjZbtQ44CXD1TBiiM2Io\nOkMGJZs5DWJnyAOcCEsz8oHJlIO2kxh47x3g7JROSskcefaCmODWtAP8Nd/jThxZW/7GrQDfnwCf\nHhtmo4KNay2+t2bPZNN5RuM+VlbvNYAEeLYCHkfAvzjiGk+vyMp1XHFiexq5iyNANcZUFHY5wWHk\nkuuyWurV6PB3Sw6Mf61pnEcgQHevxnVpCbvw/R9QBLbZxWE+5t0TViYUD+O63O+LW+DtgFg5r2SA\n0x1xTW4e80y1+pK1CsA58IHNHdnQvSOgl1C5u9li5WNwwmA5iQjmr0gbsu6JRtEeBweu1VCvIizJ\nOtdDtcGOT3GYE5hGfPc6S9VxCCq3PQaEtSbtQ+/IPLPKS6NgOt0AACAASURBVCQhP3s9E+diCfkh\nBv7j3wMP+3QUHWmfbub8ne2CwZHjAkdgi7DWAixxUDoKRgMCbR825ewq1qg7MhpnecprWtI23q8N\nzmkzN8D4YENYgv2CYysLqYKcmWp01TejowYntGvRnu/33usCyA4lcKyYyo2yIHVPv/dDXuNYnmMv\nhBLV79N2UbQ30inVGpmKgc/22dEx99i5APOHZ6y+AcTf5eJEry+5FpMpK5iNFvdWtGdlsdOnuG/9\nhXZlntHWqMxMrU69xsUtEy4l/igZR4eIZymTp7bYaJQiItyTodY+bWxVGKm+T5zVasJn1mH1rbYR\nPd0ugSd/J/qILa7rfg04Qp5Q1uVmYdi7mSS0riRnzbaRSbl5LGLVAxn7NWSy1OoxkNrMgW5D4AaC\nh9vOGVydPgI++BFbpAqdWd4JG9FisHsiBI33v0+1gEEfePCS2cPj+ziMHqs2uT9PYPQCQ58+QFnp\ndY9VwUIw3MsJ31GnbQhkqzvToUkj4Pw1HAR/Vb4oleRx8pyfcyT4Yx3XZIndtlyju7jfAo/fBV5+\nnZ+hM19VKN1N/+9jmP8/fv3Eice+85IJaoKdwSuoCv92KWy1HTDbAPfGhinkSwXo+AE3Q3sMWGdg\nercEkpVxIklIhtiRMGSy1BhcrRbodPutL1nknpupMzDyBGXJQzW7IUi6MzA6XKsZq081yXhthwHg\nkfy9bfMZN3NTdt6sKeSq8/Lm14K76JK5ZHtG/T5LGWjVa2QHNpqs1jlgIKEtoVrTtAdVwkIpyEoB\ntyz+u9Wn0dzvZFC0Y2QOYPHfeW5amYs7Vl46Ui2qNAzrR+nhwdYw1XQGnC0OYr9nRuh4fNZWT6Qr\nZtTFUjVrpYt7VTHChchtSPbdEcapOhOA69fsMEsejiQIqvBzLIvPpUPti4JGsnckwFdpfdytgEqT\nYoi6F9PEEAp2OzMyKM8YIKg2Uwzg9ERYrmJ43ApbBNWGvOMtGWqDU157ekftn51Pwz84NiNXVGm9\nyLk+WQzUhOGUxqadojp8ricBTsCfKUtztzJVx0ZLKkrCFoXFPTgYGYxWZ8i9thBMS73JoECBz2XJ\nYKor7fA45N7RYclejRVdz2X7pKWSJWBAkibcQ+f3cBBb3W+NYCdg2J9FJpgwOT9lgcOs2NAXJ1A3\nGnXaLldtqCJj0K3DtrcLM6IJpZGXifbAxiWIXefwVkUy5uaS6z44EQmCimnT6JisapP3Pr0EsjpQ\ny0XOR/A7mznvKYuYYFWqsj890T28M/ga25Z5i3vK/lRENsR2aVdKiLxLS2ZTljgo/a8mfNbemOuw\nmXFt/S3w4HWjDTV5xkpY/4Tv+r2nlEHJUwG5p8B8DlQrQLXNs5mEUqmzTMszz0R9XbTYbp+wVeY6\nvM9O/wXYQ2kC9SigLbMs6vRFoUmYVLDVX5th2f6azxtumTh6FWk7J7ynSFjlzS59xmpGSIBXZULa\nOWLQtBI25n4DTOfAsMdnSVOxD3MC6XWGaE3YlpbDNbl6zECv32dgdnRhhsnbNn9PWaYqjBpGJG1V\nGzzT19fAsG8C9zBm1bbeNrjYilTzW31DdtFzblkMzG2HVXjLYYvQ9QzBwHJo1wH6KBUmDrZsNZ4d\nE5dYZFJRrxjMbbCVtmuL50yhLyUMJlfX3HENXvtO9lQaG5KAskgPkzFS2qgSJkmrVHnfOilFRWtV\ndLksuM6NX3gL9f/+J69S9hMXlF19lv+t9PuyAFQjJ08ZbLR6fJGWMBr3WzqBWtPgBADgwacApwZc\n/j1w7xNAtKUxVLZYnsIML56Bjn7Msm6zR+c0iYHzOg9ylpksPdpzA29XbEsNRizDNtr8/KVktK7L\ngCtLeZ8bD/j0K7w/1eyp1IzWzO0l8PB1YaWkbG+gBK6eAq9+iqXqaIcDFTnwpQ9fsApXrcvw5joN\n2/IOH5o5trwDZivgU58xw6c3Up1aTwXUafFnKBmcpbEIE5Y0MCcPcVCmzhKpFESmNB2HzIJv94BV\nAqeSeavukeMyG8tzBtBqZLMYhwH0Ku5ZFDJeRBzo/A5oNhh8qlhwlnDttC0WbKUyJiDzxa1Za69C\n4xSHIgwqBAwLUsFYCAZKSv6qQl3kDEbKErh6Djx4JNpSIPg7l1aXGpA8NZWLzVy0xlqmOleWMOrs\nEujpeu+WOAwdrkslIktxGDqepcy4bcFdNJt00NW6qX6pvMnVYxlELQHhbkkHfJkCLzX5vm2bA9Ff\nfiit7ty0+SybezjY0aFv9wT3Dk9NCyLygQ+eA42C56PZkRFMYIYbCG0fFu+re4TDvD1bsDCDUzok\nlZvIcxExlkplKhUb1Z/SinqtyWCxyOUsicyJBlGHZEQwPWXBdam3eFaDLd95d4jDUPXOkBpTO5FQ\nqFb5N6ML7tHQN20/x5Oh96eiLn/Fc6mCzDqK5+JVkevYE2OahnS+Lan4dYYih+EDdzvglXs4jBGq\nNeTdCXGg2eH58lc8P3EoRIFCNB4l6FFW8+0HvM7pS6atqKOzVEculkRGnX6eGUxUtJfz06Vd2a1I\nUFEdOG2hNrs4DGQfCDZzdmUkDLSd3xYijbbzooDnv1rns71zCXzmdf48z7hvQt/YwM6Af7NdGNJR\nkfPe4xDYzqT1HHEvd0amsqm6WeoHVE5CRWpdl6zVIid+d7WgvWn3GPzVWhTn3W8l2Ae/p9jF1ZRr\n/XgHfPqCgWC4Z7Br23y/hxm2UhxQ7NqzdxkQjk4lsVhzb1aqbBeWGfdN71iKBWvgtZ+SoH3Ba9Ya\nhiWuY7XSyARwdakCKilOK7vbuUnqHKl66ZzoRof7/vLHJvncLnhWb++YeNYaPOLVOq+xXciIJ6k+\nL27JAtYRbVECIOPZf+XTDGz9Fd+5VstVd03PfSLYyDgQTN8/R0X//6+/LMvCzb/CYZwJwBeRSjsz\n9M0Q2H1G7aDV5MMVNVX+DwPg058HqmMAAbC5JeZpekmtrIEYrnUANGy2KKOQVYp9AczA+ZUFgLYF\nDDoCiN8DbwN4CGqKZSCgObaBsKCRHfdkrAqAfUjDkJeAIxu91WJQ5YtsQKUilPoSGCs2qgTCnNWW\nl054EOM9jYGCjfc+S+062209I7OtUgeOBax8PSV2qulybmB7YDAM2ordyAEdCvV9u6BBq9YYSNkW\nn6dSpYGzHZahw62hWKtBDfdmSPVuDcTCanM8ft+rSqXK5nWThEYAlslGPQHYaxVG26xZKpUBSxiK\nO5bRj855D+s1YOW8b2XxVZvSovaJfdKgK4kYAFXFkKUJ8O418Po5Hc96CUy3QKNkW67/Ap7Ctck4\n7Y5EN27DNZnPyHxT8dcioyNzhWyio3a2W16jyAkodjw6hVAo+1oZhgXcPAcyqYqMhHW82lJseDFn\nVbXMgc2Ge8at0FFXatzvz684GioSLNtkxrK/Mh2bPUM2SCIBXEd8rlrDGGjFKEWBqXZGUmkFDBA8\nF9C2To+AZbSVFiugLRR8pyIV1Z60m7esJDmCuQG4R+6mwLDLtQwCEm5GR0CRGiD/akm1dtsxUhmK\nx4oj/q1WZuKQn1WtMOiDEBYsm1Uc2zHivAqQd1wj0hnspHIQSFXCwmHslisSHqrTVG2YdSiF8ZZn\nZo6h7eIwOqZS5+/4K8BqAS+/yutOn0sgLO9+OSGb21+btnXoG4zpfs3gsdHi2V3dCk5KGLoHLSyP\n70uHPStDdnbHM6Qad0cXUolM+XuB3KvqYGWZJDmRaHnlJE8MmtzPmxC4AfDpLg4zVlsdrp+KSNsW\nr6NtqSJn4gBIALqjDmUk9l9FsFdzdgeUhXjQIluxLRlHDHDikFW+kQLG+8JyF522Sk3e3QLwlAld\nkwrUFCgkWHMrphoImzjJ/RZ4/pi4yeMH3L9pbKqA8Z4VwOEJ181xeL+7pcF0dobcW6o9p4lkvSVt\nwVQY3TViU/NcWosdXr/WwmECjKruozQEAp3JGe6Y/LQlmdRZlpEvM5MBvHqBgzB2vUUbORwbe6nC\nrf4GePcD4M1X+XvLO3Nuwy0Tr4a0mbPYqA/Mr9mi7A+5/7dLQ1SK9jiINd/NOLJrcCw4vtKIeKuw\nefMX38Lr/+vHQdlH+mVZFv62J9IQYtCbDRqH5YQaWasZcP91OlstxasB1i91GPc/AbTOgTIF/Fsa\nCVUX3s7l5W4IuF9bwC2ARxbQsgE/A1KwFRjyVuCCGLOaTawYwGqW6/LnfkTWYlfYfbs9WzZxTsfe\nqEplC0ZKIy4JFLbAYMB22BLbW8BIMsl6iwDvo1Npq6x5+IsE2GZATRzDYADMfOCoZYb0+rKRa9KC\n1CpDtcafbWYw8iI2D1dvzO+HgQlabJuHu9WXIbUV4L0bArrbwkY9vm8ESXUiwc2MQWq7L4D6gsYC\n4KHtDnHQX0piGq3JMz5zXRhktmB21jMGQg0Beq/nrGTUmwzcm6ILpQr/fg5cnPJzZ1cik2IJsUKc\nzPWGdHobwDML+Nf3jdPyKnyO+Q0DuYq0bAvB+2SJEcps9Yw+nFaa1jNj8HVmo451ubkhGLlSp6HL\nBOj67jXwcMC/81d0Vu0ejXWeCYW8oJq464kCeyLsMQH66+fkKXEqcUQ6vaP6RyujpVXkxIlNl0BX\nMJfVOp1TtcZ7anQMMaMUbM/4Htcm2vGZdZZgsAOeL4BRjQw62zXz97SlWJY4zGTV6rayWsuSCUsS\nMCFrdnkNr0Lj3Ory94IdnZltM1D44Anw8stS4ROAtlYa8wy4fWwwgwqM7x0ZIoptmXZpWQoez+O1\nFbuosg9KqGkIVshfM7Br9RkUacVOpxToKJvZlRm7o5iZNJIZs5aBE9jSat0sKFPyyqtMhuIA+E/f\no7yE7ZqRRqHPRGp0wc/MUhwGnT/5e76raE8WYelwTI/jktUdimSCbYlkQZ9/r5Mn9mvuvSIXFmTT\nvM9CQO8nL7MipIQIrdB6rtmDOi7OqZCI1RN4g7Ipi5z7oyhItHj5JT6DjnjbrEhS6h3x/SqGyfVY\nNT57hYGoyqC4Hu+zPTAVx+0ChxFVZcG5yaMTXl/lQJQpaFkGirFdcoJKuAOePOMzVRvASw9MYqIC\n1DplZXEH/Mf3gDdGMjKrZHClemhZQlzu8QMhA+Xc439/CXzqvlQRK6ZqWW+J5FKAg3B6Epn9FYf8\nPa0grjZsiSocJEvNwHHLNgQE7dDsN3zPjsf7vL4G3IzPrfM2s5S2cLekYkBTqtYn96RTIYlJkfNc\naMdKsbk6e1ZlYIqc65ZJQaHVp/3ZLrgPlQijLPUkoo3JM9ou94tvofYTKB77ExeUbX+OwcLyDgcV\nXz2813fAycgIw85vZAArGLRZNg2QbbHUPL4AOqesUmUp4FQBKwPSrcghSIQeS198MxcnWmUJPLOB\nsgIEFnBW5aZIUzNbbjMj9qdRB+DIQX7hIOkImIefwmF2YhozM9Gh18sptcBcj4GiLxT8puir6dgl\nHe0R7mkAHWHS7PesvOlMPa8msh2QtlvGe7EEK7OeArUhM29tXXSEURbuAEgpPJbsMI2A6wB4NOSh\ns4CDIrm2pG7vAK9g0BxHJChkKUfAFJkok1SBCzGGOttSh8uXBXB3JW1AaV21ByZYmd1K9cIWMG1h\nKqah6Krlcl0UPOiaZQaCu9KMsibVmDyTjPTGGINCnukwN7NmKPvNjgCBW3zs51Pg3ojPb0kFAR5w\nJu3fJ8+ArhA5ihLIPArpKnA6jriW24R7WkdbpQWDf6dK/JXj0ghqGzGJjShso2OcprK2VLyy3jEK\n7IlkFQ3ZU8GOe8FxDP7FX/O+W4LPUrD6esp3YNumojc643r5a8MarbX4/TwTGRcJLBdzIFxyxl0B\ngrpHEij7KxFMvpDKzYTX7Gt2nHOdTh7y85VEU5Z0aPutyMwIy01HPrW6PKc70d5SoVEVB00jJnXr\nKfXUjsYiULwATuXZdLD5bgE8ewbUba5VEgLLNavOOo+2qlWVG76v9UrGox3jMMPUFqddb4nm1BVQ\nWNR9C3zjZMuCVdi6BFWqk+VVhBnXYvWrKIFdRPB8fyzBgSQnWglPBaumyvfablPW4eLWyOBsIqBh\n8bOrsu8Vq7aYAKVNBXnFR+pzNDoMnCfP+E4bbT6PK1I4swVQKSjFcTTis0xviYMdHPN51lMRBnf5\nmbbFPa04V9vhOpaFwCkiBqVH55Jk+0ZI3Lal5dwArm6Be6esxmtyNLvhORscSYK5krPUlcQwMhW9\nas28F21H312xktg94r7qH0vyecn10cqpBq1JTFtuuzyrlsXrTG6IpR3f5zPqGUuFENVpAYENnA0Z\nSIU+35fOa27JmY8CkaywjE+ZXYskTFMYmD4OUx+SSBitGwZCmUcB1sgCTkfiEwRuMFsAUQl0LZGD\nkdbiYSqJtDorVZPoV2rcY7Blj+fiq2fE3bmukYVJU4NH263oFwenvG/VDuyIMsDyjs98SPp9VspG\n/9PHQdlH+mVZFn78Cl/+7RNmEZa2uATQWG/KaJSSDnW/NS2QzRx4fEOmYmEDr3+Km3J4BtgtoIyB\n7USGqwqWLPAp+OpIdqygdB2SW5XqyHLCYMmxDStMB+RuZvzvSJiOCuaeL4B7D/j5gChI50ZbzV8b\nwLRiw3ZradEVPCDDUxq9ohA9GXHo1brBh2QpqykVaTdW61K5WzMzrdRoEIIdA9ruyLTsVK8njoD3\nfgC88ilxssI6262A66fEufWPjUzCciL0Z5cOJM8MsBoQsL1lAqf1nOzEsgC+PwV+/l8Z6Q2A676a\nMBBSFlNnYKpcj98HUJKFNzjBYRxQWdDRLm65N5TR0xTq9H7DwLfdFQZUDjx7j8rqhWAabtfUGX70\nunH6gUis+Cuu+4kQUPJMZh+CTvL0JRpJreQpOHk9Mwy5/ZZ7Vdd0KJiU6RXxSp0R10ZV4f0d2Waj\nLg388x1wIViYwQn3RejTQN09FeacBFz7Ld9xpYKDGOXdM2L5Gl06tGBnWsq7BQ4jm9Kc93v+krSD\nZyKzUCfBpN0x2LTemO9vtzIZd1nwGXTE04uAaxUxtSzu6SgQ4VwJALRCt99yb7V7IhWSmtbqZM5W\nbJ7RKe433DMK0D9+KGBiccIoRe6lIAFjeSfYNZGGGJ0LzmvHyrzjmDZVnnLfqQ3YiBaX4wihROxA\no0UGm7Zi45DVlmZPAlzB/xU5A0GV+1F2rL8i8NtzDJ5rO+d9KmHEX8vEDWlX1lu85/2OQcZwbCAD\nwU40oVqGoa44zyQEbq8ow1MWYjddvsPjB2KDbT7v3VO2uo8lKbxcAa/dEzzRjg5WW1yjM5M0Tq+A\nd98DTqVCNbni95V5rLZG9a2KUiQ0oheCV6mweBUGM5s5Kzf9Fte+M+QaaeXTl1Z7b8ykNdhwf7gV\nBrDh3tj23pGRNQG4V3SMkM561DFo/bG0GlcGw5VHZEG2BsamtgdGdPvoHg6SKcGeLc5cKquVutyL\n7C9ldntVk5wGO659o8OWZ57x/Cro/vRl6czYxodpuzGTc9Jo85q7JbUyj2xpO9p85njPFv6x4Ba3\nS+AHl8CrPem4HAv8ZMU1O35I2/rsR+bM+EscEtI4EmayJwQNhz5hPRGihWD/Fj5w3JfkKOM6tQcM\nUCEQpaKQ9ZA9HWwNO797xHPWG/OZKz/3Fs6+9XFQ9pF+KfuyUKBpF6x8VEy2ouJycSBG3iPQeS8H\nab/jwOVBk6rytSYNQp7TOMYhDdV6DmyEdebaQA4GNA0bmEakE/ddwV4Jc8wugXkBdB2gXuX3Nj6H\njddBAc12VyonPo1tpcoWbFkCqwCwUgA2M89KKZUNAH7BNuBoBDwLgFNbnFpI4+66JqN2KyYDs2xu\nVMejMdoLOD60gfMhD59bIx5JR1alCQ+esg8VkBwHdJaQQEd1muJQxm40eS+OS2eibMhwB9ysiMcb\nC7Mn2PFzGm0c5lNqZS4VwsbZQ6NLtpF2MmxW3HRUiwLbb58wgGq1TfsrS0jEsADcHxETlEQyNL1r\nqis6zDtLcGDa2sJQqtQAVbpPBY/X6gCLiFlqkZlKqgrJpolUegSYDosGs1IzAq5elc/YG9E4V4Rh\ntlsKgD03bTDVD9M1LwsjUaBMUp31F4c0Xp4E5d0hf7a44b4YnhmWkwLhk4hJQl7QAWqrTAejK3Mz\n9IHbWwZg4wErMa0qsEmAYZN7TLF6Oj8w2Bk1+u5Q2gu5yNTk3Cd5Suc7OKFDuHtGyQNdr9WU93T6\nkPcb7YFnNxSGVBxU/8RQ4nUuYa1O22DbpsrWfaGSvl1yX40veH+rO5Olq35XEnO/RMLy9H2giHCY\nl7hdc88rDif0WRGr1XnuOmJbdKiyVsfrLV6zKtIt81sByUuVqd1iAmKBdq3RpWO/egJYskebXYM3\nHZ3xflQWQp9lMzdVPdfldVR6AyVtmmq1JSHvD8BhcLfORh2e0ukFkkAMhNE+uyXEouWS4d3tcX+0\nBFeo1TivAlx+QPiGMr5tceyTFfdPRVptUcROxE0EPOjyDCWRISgo8aYibTkN0moNY3PKQjTUUtor\nJeq4HnFx4zPew+SGmmNtZTDvGECorEYSG5JEsJPkOjAyIjrvdLdisjCf8/lGQ77zLDYVozg07fPp\npbROpVJak2qcVuOrQlBTElhvzPX8/jvAvS5tXaXCRNKtUFD6/JjPqViy9Uyw1w7Pdr3C9a0IE34r\nJAHLkSpcxHuqNngm91tjV9KE+y93KWKepaJVJ/jlYCf+zDUYPq1SelUj6D3ds7Lmb3ieLdvADvKM\nYrCVupHI0QQIMKD+1YT3NTiRQoRnWNg6HzUOgf4vvYXxf/g4KPtIvyzLwg/uAVVp07R6fGmT50Dh\nAGf3uKmnz43sxOJO2jIFxVI/+S9NS8P1mO2UVaCMqICcJUK5XQJv3wAji6X0vBAGSMk2Sw1sI2Vg\ngNaSf1tgwDOo8p6zlLPLULIMvAVxZ02HlQcHpINHoLFVNf0l+L1zi+21LOMokaoY7iImrq3pAFEO\n1B22Hdpd3t9+TeBzrUYWV7dN6YaKJ5gYAWmr5IPjGaHQspTW75iHu3vENSkKsli11aNgVcc1DMl4\nT0yGbZsxKbbN9U5jabcK5slPgHvnNASLGXXUVAtn8ozD0+9d0JGup4a5lWWiUl3S6A9OBKfxgkSH\nDihWcKlWBNLY4GTgChC+FJmCBo2rBlD2C23OODTyCFliQNjBDng8obK66wJBBDgW2x+ZJAc63FuF\nWncrGYBeMhjYbw1mDxCckoDqFSNSbwogHHy+9VSIE4GA1yWwjIMXxEC33EuTOeenAtKya/CdnzwU\n/azlh7Fra6nkuEIz9zfCvpN2su0IeUbEVvOca+0LcLgzEkaoYNz8tbQW+0ZnC+LwVPiy2ZNgWYDp\n9Y7gkHw6H6/Gs6prpQrveS66dT0mXNNnwsjt8n8tcSDhHgfGdpYIOF2qDI7NbF9xUS+ObNL7bvUo\n6Hk8NhVGrbYps9hxmczVm4Kv7L3Q+t+bNvB6xaBAJ4usJtw7WSaVdmF969zH4/uC1ZvSBrT7cq8v\nBN3tnmnpvP8MeOMVPvdGcIv+lk7//CEOGL/tnL9/8hI/b3Yp8jYx90pDCBQ6BP38VSY2WjldTBiU\nHp+zIqj3GySEP+g59Le0Q4HPPaagbK8qCYzgUsOIeKVU4AtlSQcPIWDo9y2LVc2L1/hubIfrvxYW\ncyLVEoUuuB7v9/KWAP/jI8OMtqXtnCVktu9FtsK2eT29X03y92tCCM4eGObs4pY2pXuEA/u13haM\nbG7YqcrqzWLu1VrDAOS7A54bHTWlhYX1iuur0jNpwoAuT3lf3SHvP9gBTx8DZ+c46NwFe+D+q9Ky\nvKT96wwNsWa75HvYbAir6A7N5AJliCsMJxWih44Aa0iVd7MCUkngBsIgvXwKZD6rZm5FtASlep/E\nOEBAqgIdULHyxZrTRJYzJmn9PoP/w+g8wWuGglNtdvkOps9JmAsyITPZ7ECN/pu30PsfPw7KPtIv\ny7Lw+A3D/MlEe8ySyhKExfjSJ6Qlt8FhJINmAp58v5TWxeBC8Bd3OAyX9dfMSB3BmBQ5kFUBKwFW\nK6DqEO/h1ogTKHKKtDqCUep2pK2Z89BOr8lwhMWZfp0hs0EI2DoVMsB0BsQpNWE80d1JUtEXSz5s\noKYbYKRSBw0cRpKow48tBo5RQkO0E7r2LmSLT+nffg6MOjBjYxKg4YqkQEJDUqvjMG9T21P7LQOr\n/Zr3fO8hDsrUKta638AInDrASc/gIsqcz71Zcm0evMzDl2UEca9nXMPQAx7dN+9lueBaF8LGynJW\nJIvStIts1wCSn18CJ0MB0pY4iEmGEeBazOhLyUxV6y7wDRYxTXlNld3YS/u63TejpLKExlYz9tCX\nZyz5vd3yH6qKhztDRmn3pSW5MbIp2kIJfTNjThl4ZW5mg95eUgdNW9FpLE5OJC9si/fmSXtjPTWY\nuzgQqRTLzKhUWYL1miQNZYspJnF4yn2Yp2Y2Xb3FdoyOSTmW97Vd8H2ror5bESFIy7ACHVfEhyNj\nuDtDruPtNbP4e/eBOGNFWSu5RQHMngNH95lxV+vce9Ge92LbQOqQheqvpbIhlZI4ZDDWbNMBFxlw\n9T7/vidt0hIG92TbAMR+aEBeqeHAHIv2EnAGwHvPgJ7NZ+gdGVuVxiLx4RE8DosOUPUP8wLIhCEJ\nW/A+VRx0n3whQdiO0ZTTSqcn9m235Jo7Ff68K0mOL3ZQA14dN5QlbNvWO7RFnSH3ey6BkTKqbZEN\n6Y6AKGUVb7c0jn14wvvcLoHHC+DTjxhIhz6vt51zLbwmBbEjIWmo1pXCP9o9rmMhJC5Vn/eqDFyT\niEF2kQN+CFQso8H3ZMb76li8pgLqHY8BnC2YXq9KG5DEUhVtmbZkEgF3S+CBtGGvn/MzRme0h9pC\nrdR5dlQBP9jxOpFg8lSWRaubjsdAYyDyEjpbU7GZKiFRb5FU5rlcC2VcqlyRSnTsVsaOtAe89+dP\nqQXZGzNZiiMh10hgnYSA5fLv232eocWN+E7BbR3dRCux3gAAIABJREFU4+eGe+D5jwS/Je9aRcCD\nLYOt3RKHEVKVGrU6G9J+Xs/4XrIEmE5YdGjUJSmO+DxJzCkczRohGj3Bxy6nXLP+2CTHccT9MBRY\nyoFYU8g6d0y1P4lpv20HOPtv38K9b38clH2kX5Zl4d3XWYlwXREIlKwUEKCxYGAqdW6Gowsewr1P\nAGmRECBdb/Hvji6AvAp4HQAJkC5Z+gekJCsbpFY31SQVsMtzZi2KK4sCg3Pa77hBaw0aKKdiGHSK\nV1D6rieGabsUHFUETG9kEHjL0K8jXyQbhlKt2NLotqTXb8GU96OAzBQNijYLoxxtgQGKZdGpTEUT\nTAUWAZmpJqynlmTm2grNUkPfVuNt22bsUCAVmhLMYlQjLdwbRfjFHde0KazE5Y5q/HUBWFty7WbH\n6IvFvjjCzLRade4eLK6JLVWAekvAvyUwecqqZH8keImIxtYTcK+/BUoHODnh76fSBkwzjnJq9Qxo\nPInotGpNrmkaG7HU6RUDpjxny20wZtUQkKHrlsEbRhK4uVW2lV1pLXhVPofqJq3ujEL/bsnPrDV4\nDc3MFU+YZ4JDq0vQLWujrcc4kkpowX0YCZOw1TO6XQomb/dp4CYT4FwqByWA3GZSksQ4jAWarUhP\n749NQJWnfL7n77xwHqXFPjwBnl0CHQ+AbZTrVbQ4T+mkq8JgzhIJGCI+V18wLduFSAYMPtza2q0Y\n2Fpg4Njp02HePRFAe8ypA7ZjNL4AHMYIRT6dW02qk6uJ/CzlfqvWWUnOE4qM1hpcv7ZIqcxvGHD3\nRgY2oSKyNakE3zzjftxtAKuUvZqbQEifMYm4967vmFxEBacEuK6xeZUqAysNbLPU7IdSIBDDU1Px\nUSmP0DdJqyuVkdunBMjXWqZ9Xqny7K5n/PfghGcnWDPoUnuUpbQ5jkeHr92M0KdUjGNx//R7piLe\nHfFz5xMGLTpSLdwZKQdl0UYB7/9WMJC1plSuZB+mEZ9HA5VwxyCyzCl3kxSUyIkDA+6vCYNyHxE6\nMjrnHs3Fbk4K4NWRgNE3wPf3wBeOpRp3JIxlh+8qS6VK1jIFgUablaDdiuuo0iSaMOlEhtDnPqvU\nuZ8VfF8XxigsCfwCVsBabQbbnYHZv9HeJI+bOQ6jxfy1eVYNjBod2tn5nEldrc57UnmejpCLFOc3\nu+bztkTOyXFoh12P5+zumQm0OwOuyd0TyotoouO4Ug1sAXnM5NuyxObkvO/1DHj/Enj5nGuBknY4\nl/ele0HFtlXdPwz4PLn4JtsB2l95C8OPgf4f7ZdlWfjPY6DSogK7ghWjQHBSBTDsmJ6yAh1vn7Ai\nUheWpu3wvzsDoDUE4h03lWot3T4FlnNioGLpeVctIMmJoXFcssWqEgSkOe8vzFl5qlvESKwToJKR\nJdN1eA+QioEjbJvNljiMlTjIJAM8AO0K2wAVC7BrgC04rkaL18hz/k2/SQPdHRJHNL+kE18vqfXi\nVoB3nwMdsLW5WLGd2XGB3AHszLS7ooAHzHbolHQQe5Ebhfd33uUcNBVYTCI+8xufMIBSHTUynZJR\nlaU0ION7pj2yntFo9Y4M7bp/YvSewh2QFTgMvbbAjL3RFvDyMY2nsm+U6VetSQVLsBthAExT4I17\nRlenkErLD++A4wowFrByUlA2pDOigdEBy4qLO7oQ8kKFPytzY/h0gsOTCfDolPe5XdD4q6PqHYkO\nmzC8HNsEgcGOWWpnZFiUq6lMEMgEI7IDEMk+l/acBdGAEramV5NsM6HzQ8kAoSo4jXqTwX9RmKBk\nM6daecM1Tn4kLZNnP6ZmV6vLoEyB6Ms5W7RdkU3YSsW6eKF6oyOD5jM+a6vNAEmxaqsJny1P+W5d\nCShqDZJ1ikyA6XUcdLKyhHuz1ef67remtV6tmZaYTi5odAxtPksJko72QKUDjnvqSuUkMnjCujDp\nJs9FzHbMa7hV/v9+y6HgngDmByfCnE6EKOGbdVHBUp0BiJKBc13eiVuVanNgyBEqUeLviPWs1k1g\nt5qKwGpf2k850Gsw0LVdVguU+To6l89wjQDr3RXfW2kxMLUsBlDVBudUHo9MBU5lXPwNgwwUktRZ\npvqmI6VUxgNSdVVh7+5IhIXXwGhsSAV5SpHldpPnSmVBag0c9O5cj+zcIiPuSyEFjsd30xvxzJTA\ngR1v25yCMRAMlspzOA4TQM8zI490/J7OgKw0uM93S7Yuaw0zt1HlMhyPZ1sxU2kieC0haUxv2GK2\nLP5dsyPJAriukchLOM6H5YHafd5THBi8n84vTXMmWI68330gM3nl7O7XgB/wfDWFYavY0yx+wZ7N\ngYef4GflqZDY9kYQuZCEcnEj73FgRj2lMT83Dbi2HcXMpcCzH/Jnx+dGnPbqBrACQmZcTzB7uSFD\n7dem4pjEbHvHIYNUTRJVE9Crmik+ecqkP0tJPnE93nOwFRzZsbSeZ4D1b9/Cw//l46DsI/1SRX+t\nDuw3OKj2F5m08qSFpOMldisDwlZWmVvhIeyNxQk1mCncPiaTcBMIVdcGGtLCCAIOH7dAnJkNAlyX\noKBrUQI+gDmAUws4agKbGHALAAWxaC0L2DlAR1pGrscMLQSxaTmABoCaSxFNlDxsaU7M3KBGo7gP\n2NZMYmafJ2dSLpaq1fcnQKskuaBRpTFU9mOw40aHQ2ermLC7OTPxWtMchOdT4K4EehYwdIGL+8bA\nq6aQbUt7rCKz4iTgLUvBGFX4HM+fAs2KMdyZMEibXSOPUOSGsBEHNIwnD3BQUp8s+UzbGQO43RZI\n9jzwjsfPG9+nAdmugDgBnAYdDSAVMAGE7reCaRCsRq3Bg51nQK0N7OYUIu1L5acr+kHrKQ5iuBUJ\nAIMdn18ZgipLEe1pfLUVud+YzL/IqTeHgji/VIKRoqS2l44CKgpDZmi02DK3wO+rmO7kkq2qdp9B\nWeQLiLdO+ZFmXbBViRk1k4TMYvcrk6zMJsRmvPwqz0m4A9aquu3wc9pdfubgVGQYVqy+qY6YJQZx\nPQMevsnf2W95T8cPpHUVGTCxtkuVSn/yEB9S519NjD7WZiGsKmEPK240CiU5SoTNWZiAX0kLqkju\nCutU9czSRJKEqdm32lIbHPPe/TUOau7tAQ5Dp3MJ+o/vCXZ0yeuN7wE3T3m+VA/tdgI8esR9pG2p\nOJCKs2tGeKlUgi+Yq13A86PDqV1pYVaq0q4N6Lh1ji3AZ90uGSy2eqbiuF3yZ9Mt0JVASufPdod8\n3kISK68i50FY4Fo90fOjBAtfoCDhjmdwfM+sX7Bl6318n2c02PFvW4L/sywG6ysJJOOIyUcsFbF6\nj5jbLDXVeiWdzOQcZjkw6MkYJzknl095nrpNw+BU3KjizDxJPDS5VPtz+QRoSfXs+KEROm51JVGa\nGILAdkus7nBsqrTxnmcwjQ1cpiwBuMD4lO99u2AwHu5M1W6b0t+8/Ar3w5N3KYlR5iaQHZ1zP+0W\nAqYHscSqbL8RNnSQAQkoXh4UnA2sw+VRmnNz9ZgkF21x6nB4fd+BL7IwMfdmXWALuw2ngCgERmc3\nx4EhRBVSgdVKWKVupKsUyK8DxsMd94RWSWdXFHweDAzm9PQVYeeXwrjOJRhdm0DMdkVzLmZS0//3\nb+H0Dz4Oyj7SL8uycP1Z4O33yBxsdXEYP6NUba08OI7oqRTMuhc33JStjmC6AgJcqxcAakBxC+Ri\n0DWb8VeGCZgkbId6HllGlmjM7GJiGWxI+6DKypeCLXd7bnan4HW6UikoSxq06R54IArL6yVbGc0B\nr5GJw3i+BU5r/NznO+CebPBMWhSegNibHW7YqxsGg5awvnQkxS4Fcgs46ZogVtscmxDo1oF6l5m0\nsi2zjIYh3Bs17SgwlaDJDZDYwFicdatHI+xW+PPd0rQUHJeZ/vBEgOhrGYFjA0HOtb1/bnTCioKH\nvDc2Je4oYCvk5J5gNVaAV5rqimrybBdsXSh2o1qnuG5ZMJstBcu3LhjYHnfplDwPeP8D4LhH0L4t\n1YFGh+O1RufAPqUx3G/Y+u0f00nGoYDQW9I23pnqoc5M7A6ZDS7vjJZaGpspBsNTPvdBNHGKw6xE\nxwVuroiHu3dP9syUQVNNsmx1qsogC7aCDWkbeZblAjg6oRFMAsGVAIdRK4r3a7QEBC1t93bPBJRx\nhIO4Y0WqnxupJnSHACzD7JyLtEVvZN7N/FYAwLZUyzJ+XrVB579f4yCVsVubll6aAE/fYbA8vk+7\ncPNYBkI3WfHWEWDvPgNef2AwLLNL08ZZz/j9akNU8qU171a5brFo27meBNoRNf+2ezJPvRqDZ9uV\nNgv4vt2KiFVnvH9tdyYx2+jaFprcAqcXgieU59ss2Jo6e8lgZ6bPcWDzKiasUuM7rdX5nsIdDhIc\nrZ55XzqSqoRofMk5BoSpLkQK2laumePyb7S1r8GVYruU6LIV/NrW5/D69Zp7anDK71fr0nIU9m5Z\nmgkX+w2r83HE8z84McFdrWH0/pTFp/dTER00Zd7nwrpOYhPQhjscmNcqalyt83z4S+DxYwL9Tx7y\nmVZ3/LyeBFbhluuyuJVkxDOQj+Ud98t2QRuWJnxfRQrce83YK4BnsCxJYDo+x2GKiO+zTavTF0Zn\nOIw8U5ypjkWyHH5OlgLXHwjpQIMm8DyqxlxfEu/VnIlWlgFeF+hINaopQU9ZMjDPM6M1GIcGg/vs\nXYo6a0V8vmBnoS8BUSCwHN1rin/NUiZ1vZ45U7WWOTv+iv7Nsc1naSVVA8B6y+ybIgdunhB+4Doy\nN7dlGLc61zYKxLc4pgJZSFfJ+tmPFf0/8i/LsvDkk8ZQAjwE+60BriaRqJinzM5Vn6XREZozeJir\ndRGlbIOUYY9VFeyBUmjvwY5ZvI72qbdMq0SrOpEwT9LYyEHEIX+mVYzjezQqoY+DynujY5hEgGH6\n6dgg2zGyAq7Hv1vNqOvjOjzk1ToO41CqLQ4QrtSIUbp6SsxKsyMtkYABTM0Vqr1UEWfXDETafZIk\nelIti0MzHkgNeBIJgHjE/765AnpdGpA0ZVBTEZZVvWmyUF0vbfElslZelc65NyLLqFE3+lKux7Wc\nXjK4atXNAOYsoXOpSjUxDNhy0pl6mZS4ay2uuQ6DV4X2aG+qfaFPludQmHLK8Js8o9Fq9yXYTQye\nL40Eq/aMxIjxWNoXLu8xS8lS3WXAUO5BT1lnAMDGQVtLMYuRtEOUkVeUfDYFyq8EYxUlJKBsd8TA\nZBkNervPIALg3x0J5X8947+dKlBmHGjeahrs1iwEziWJCLZSfZUWZpYSwzSQdkKrhw8Ni45DE/BX\nalzvYCvBXI+JTBIKvCDjzzVbBgyBoCNSGYoH7R9LJXHFNY9jOgUd2WXZZk5pTYDshchsqPiwCvb2\nxnzvgeibWZDWaE7Szpm2tUXqoSnwB38jeNVcpHdAx5JEdJbNNg5zGVWGRMU5d2upRHZMuw8QrKNU\ntXTqgL/mua61KMT56CH39fSSBJpWk9dQPTcdz2W7dOKzKQVmGy2uiyqaO56wq5f8HFVd3wrGreIK\nNEHA0llC5xbs+JyO4F69KtdueMKAUyU39hupaEXSlpVk4P4n+DmrqWDrRHLBqxgZiTRhi73TlU5H\n3bRCaw0RrZVAvzfmPW7mTGBff0mU/KcMnNOE1dpaTUgpETAWLG4a8V2kCUdP6QSCvOCecD0jVXH7\nhC3dSsUwoR2H5/D2CihCBsH1Nu2nbZF92hvxnO0W/Jx6jwl1mjCIe/YEePUNebaWwWct79jK30pA\nCPAZBycijpxyHWpNU2RotBlsZKlp5wVbrtPtHXD/gcHZxiHw5G36HmUg71bsLpzeo02JRU5Jpx8o\ncN+ypIope2D6jOsxEnxsEvJ8RIFME+ka+9jsGPkY3aeVGve5+u3+WIKy0uA4G/J3oS9VWhGfVS3C\nYEf/1G4bH5vGZrZxlkpiIsS4NAYav/gWjv7nj4Oyj/TLsix8p042lmoi6cywOGDABfCFNUQINNiK\nVIJrKOqORyd38hCon4Il1FtuorJk1UL73P6WZeVc2m4WgFVGTNbMBu5VuQmCgK1ID8AipRbLThiQ\nIzkUaox1DFAiDi3NKXuRCCaqhGmp7TcCLi9ZRUtjCQwtZqaZgMW9Kh2w60iG77IiUxRSCXDosFIJ\nJB2P7cG2sJn2e5FxSLkOrQEDne3SDCaGxWzTk4DQX9Eo6yw1r8qWnC3BQVkAd5fEIFgWD5Blsbqz\nmgCPPs3McHHFa+vnKMEAEHzcRAIeoXKXBf9Ogy8VlXx2C1RSYjoaEuCu5xJYdU27TKUn4j3fqwqZ\napAb7CgjYcemLVlkNPAaeBYFjVOaGDaZI23I4wvTpl1NTGaYpyYjj/Z0LLMJ8NJrXNMDS02wUUVm\n9vmP3yV+sCJSF0XOCmNbAqw0pgHUOaSapTouDsrnwQ6HqrIyx5o9VlCun7LdBrBC2O3wesr6RGlI\nIzrWRbNgyzYtp1SydpUjiXwGjorvVGeYxNIeS7lPHY9VvFthRY6FARfujNNW0PN6JokCiPdCKVXf\nSJTUM97nbsl1PASCFqtlo3PBu8m6aLDtVcx0BFhsnetevHnOKoC2yR3PVGheTNpWE5kXKrp3m5lI\nQZzjMJorz4CrS6mKnQBwaEO0xQYwQGwPjGI/QAdaawp7eGsCquG5qZLfPhF2pbSH3QqrQY8+Tbsy\nvxKM1NLgFSs1nhdl364m3D+OY7SyqnW+SyWL5LlpWVoS1C3v2KJez4wOYOjzXmzHMMpVG1DB7IFP\nXTrb4V5cC4uu1jDdj9CXCmbChMMVMkGtZeAr+q5ywS6pGLMmP4eh4h6Dn7Jkq+zoQpI1AbDrrMbu\nCAetts0ch1mVR/cEz2kLmSCQewspL9HtGvZ6WTIQ363NZ9suq+5JbASkdZ5npSYszNgkoBbMWYUQ\nvg6BuVTq9qFgP/tkIwdbgwnW1vZ2IWPoOrymzmEtC14rTgilaPV4DmIhTvTHOJDbHMGdRr5UuyVR\nSwV+oIlguONz9CQZuHtmWv5ehcHuyUMGups5MYJ5xup3WcgoJUmSdd+q3U9jIXgkwIM3TWCZxAJj\nSGUg+i9+DPT/yL8sy8IHnzAl6e4RDmNmfvxDzmzrH8vhlBaQiicq9qk95OZCycCj0gNynyyxQlpm\n+xBAjIP+koq93sVA0wKGbcP4iC1gXwCwgG4JFCA2zBPdoSmIgxq7BPG3BVy73pFIEBZAACAFtc5i\nAFUbuC8syPWKwVoA/s8DP+P1E97D1Ry4P8ZhEO5yAVQ9ZtmDAQ4zxrTyoPMJb+6ATo1yFM2GOJix\n0RZaTIlpiCPiWhoVA1gPheJflMR0tLsM+lxXmHA1XmO74LOWJbDe8v3o7EWvKrICBdd8O5dsSYKV\n1pDgXkDwU5Jph1LlUoahV8Fh7qFqBq0jMvv+T/berNeW9aoSHBGx1orV92v3+5x9mtva1xiMbrms\nKuRMOWksgUiBroQTuZBASLxYyDxDQalk8qFQyoYXJPADPCDxgvkF5aqCrLRcxsY2tzvdPrvfq29i\nrYgVbT2MOeM7LngoCq5UV+ktXd1zzl7NF18zv9mMMWYcGqOu4PNtRJxKEhu2ZpYJ2LaLvHl3QTIJ\n25DZlP6hYUA6BeNYPT8juWQ04b65L9FqJmXP21Pi37p7yIWNlxNp8L7PiPN8SPHNo/t83+SKxi6J\nhSrumHLIYsxUfrlGwzs6J/HFEvJHd8cwODX7sFkxM6HtvwDkgqpFV+QyNkb2ZLHgnnAKPCv1Do24\nYoJWc2ZAkoTrmcJoKc1Hhk1WLLGcFazpGNiSCak2THYqiZlVVFBvrqQvTo8C5yt1uWQtrk0UIu/9\nN77ixRcGHGsUyB5qExPnllk2KgvRodIw7FbNLM1u5Tvqgr+JeDFrdmfrG/KCWzag7dWcTmQcCYZQ\nZAdg8TzFkVxCkklKIj7/esUAKi/9XPA1nV0g8vl+Zc01OpRUqEuJtioMu/EFcq1Abw6UGiRADc+5\nt5KIWaSBlEl9wZO2+vyzv+bz3j4jfqrW4lrMhpzHtmTE57fIu3LsHPOMJZFhjysEot4xpULtCTq6\nMBmmWlMuz4j7JxU8oVsV3cCUz9MTp2sr5IQkJeykVDUlu7P3jRixOoWWTcdLnRlluV8/Jx5JIQYq\nkuwtWE5TgWjVXxydc120y0TBJTxFO1Icv4Jcfy8MDOv29B3ijE/uSd/YmPO98SRwi6gH5hQ4h+qA\nBWuTRdOOEU7BZK6V/Ws7/HdlOarMThwxWG50pRIkQZAjxCjN5kZbZovna+DhQ6533hs6/kG9w1LZ\n4OkUl20XTAVjszSqA0pA016jvsf3KNZLySCbpQn2NeM3ueLa7xxzT3kzznehyDWp1LiGG8Hfqb6g\nU+B6JxGDCd/jGBV/t91Qp6z7Hz98TlnhAxzLB/KTwTA45kNunDQB6uIIlKWMZKc0Ev1DY0C10bhb\nEQXwPoAu4DSBxpDG0F+TNp1Wgb95Dnxynxd5KQPakqXaLKUFiehl3R9wQ95MgBLoVMWSBn6tybS4\n51EMNvSoC7a3Z3Bvq5V8bsAHrKVkrFXKBG1WHJYdHwzk4huS/VarAg8lmvdX3PC9AQ9fs8savjJ7\ntgHyFj9LAYOuVsArx4BVRN4oNolpwOqir1QrkmzgOKzvt/uieF7gfDWFOJEIIH05lctgye+suJLR\nafLgFUs0Mo5ka9IMCJfAessuC1lqjF4SG1q8vwRg8bMti1gUbath2TzY9aZgD8RQjq4otNusAr7P\n8adguSd06AhtN8B8AXRFQLIoTuN0xsjz8A6jteWEhrcipd3FWNhCLY7vuxnw7+4S91EqczyLkZTU\nfeDp9+VCifj73bviaKXAy/eMMbGFoOLWuFcDYXt6cvmHG2AjoOIsJbP3QKLtKJTLssj0/9YnKHcc\nAgd1E+0fvWzKio5Q2guuaCYJsUOxQOsln0WdmTQWx09IElnCcsy6bmQfgrURqFxNuc61tjhHc/O9\ngMEM1gVfFmyMoS/XhIErFHdt1uwtuM/qbZ6F0Q1Q6bJ3ahwxWKpK5mLjUxes3efzhELFz2QsV4/Z\nCqu7z/W6egYcPkDeO3R6I2Vv1xAP1nOSJApFntfRBZ3uZp84T/1ulUQI1rzwWn3uz5LLMzk8kwDo\nkg5H/9CU3EI5w67In5QqwjCOjRSOQiAKRQFJ+8gbqccR57fZFVbwhbRpSoCLR9yLit3p7Iv6u2AS\nkQGJODnNHvLemtpSqCzMUX8lZSMHqNeF1GPRoa42WN5zHOBsAfzoAc+r74kDlpjL33a4PrZNe7AY\nU2bFBYMNldxYjoS1WGUPzkBkJNway3TqvL99C7y+w8+rtTmu1ZRM2zgBohXX2l9L0FMy6va2LSVT\nsd/FkpGRGV7QxsyHXDfd7+fv0fldpgzaM6lUFGp8niTm5/X3Tb/ZOCS0RcuXsxvpzSmsUG/O+Vat\nNpWLCUXOpFRBLj9UFizmZsU5div8d2/O11gArs+4Ru0+met6jlp9/j4MuIcenVJ4WAPrKBSm74pB\ngfayBZD38JycCgSmK10yJtyDoc9x2A7HVRQmsLfkfitJ8Dg45L8r8SrcUHEgTQjXWc5413X3aA/K\ngitTnTa3amzkcmICz9MroPtBOiMf0M+HLlP2vUO5vErEmVQaPEiLCY1joWiA5P7aHKzZCLjaAAfC\n/Ki3gZP/BsCJTUrbNGDKSxwjIveBzBfJBjkMCubUi0OF97S8oyUebaczD4GTQwNUjUNqdFl4oa/l\nUgxSyozLJgGqDuUkSmWpq4e8QGKJElZLXhz9PeRNensHEi2ORadnTaPkTXkJqrJ+tcH5dApy+Uik\n5AmWKxZ24eTKYNuqDckiSLZi4/FycquiuRXxYFWbBqRs2aYcpISM2ZRT29+XSEeAyJZthAtVjDUR\n8H+lRmOaRPzuYG3A2vMhsAqJCds5MkDW9o6JLv0VyQFd+TfFQQH8jtGEgNii6MlptJi37rKNk3N9\nw/LE3hFywckw4Gc1ujRs0VY09MSJShIhZshFOb2RUsiGxqS3b0QlAYNZK7o01NGWF7g2rI9SZlzj\nyCjsLyYGf1hvS4Cx4ZyVqyyvZ4nsu31xLOfMhiresVo32ZwooRF2q3z20TWfYXDA0nmtZjKvkZSH\nMnCN/TUd6x8Q5BUChlvlcy0nxOHUu1zj+YQXhrcQfKFc1oppGghLbHrDsbQ6wGhEqZqDh3R2tgFw\n85QXbVWIDSp9MB/SEY6E/XZxyUxx/5Dfow2zE4eMZadgzgAsOgPNvin/R1JeqzRMecdbcK89fQw8\neJlj2ngGH6V4tWgr5AQ5K96M9ma7ZjDT6YkzteUesUUDq1gWPKys83KCXJ+rs2cAz1fPaFtcYf4V\nCsYWalbarSLX+tv6Ruk9TZC3Gmp0jJOkjNhq08geTK4F/ynaVJr12yxNVi5IiQdV9mWWAfMNEHnE\no2oZUccxv2XgtFlzXzQ7on8YGzKDlgRVh1BZ0V0hr3hzniMtqd9esyxXbrCTQhgg1zSLhJGsONWi\nBEfLFc+G7XB9tZWQymMojlL7XyrcZTXjv8HimVAppvmIc98eIG/crUzOghCgtK1QbLHhuGa7tTOA\nluU9yeS3B7Try7GReFK853LKOak2pNIgGW8lHoW+wWWqZMtqxufcPeHrzh8BS59ZtXrH4JDTmPst\nTSSrKpjLqlRCJlfAsydAWxz1gWbB5vx7vS2BimQLdw4F6nLK/aMlaRUar9aNrIqdGdZsmojjKkxm\np2jIRSUXwKf+Kyxfnp+f4/Of/zyGwyEsy8Kv//qv4wtf+AJ+93d/F3/yJ3+CwYA1uC996Uv4mZ/5\nGQDA7//+7+OrX/0qHMfBV77yFfzkT/4kAOBb3/oWfuVXfgVBEOCzn/0svvzlL/+TD/f4ZbnwwUxI\noUqqcbFk2GOlMjME9YYxIIoB2Cy4qQG2DVktgPYeHYtaE0i2Iqy5NorkWx+4GAILmz0n6zUBiztA\nOQY2EbE9lRo3nifYtEHL4EFCXwDGGWUczjf9j6aqAAAgAElEQVTAjk2HIslYmtwrElti2WRtNuqM\nItKE6tJ1wUioIdIy0e4dfn4c8ZKLtjwUR4d0ys7fpcMWhwBskeMQqYqbc5Zaa006VscvC75gzQOY\nxMDlLXCwY/Slak3TH1BT6VHIaG/nDnJZhO4uD/t8xHGrftHkmhiSNGVmQaOxNOVYmzsAUh4+p8Dv\nXE2BmyEjpt0DHlR1/FTkUMGjmkVSYLgtxnx8JViPAHh/BhyWGT2GW17oxw/pAANGHbomDC7fkzZS\nAT+j3ReRW4tZjjg0wpHBRhhoVTpl5RrXQVvUXD4xzLTFXAgdJRJPlFSQpqaMkabA0+9ybWBxbGlK\nvFxVy1lbvraza8pK2nxbG3CnUo63HRrTYEMAtL9hFq69w/VZrwAkjMbdqrlwoi37vv7Iq8w6eHPg\nyXdoDBsdozVVKvN5KzWOV3FhWj7RzING/5U65/z2uWAPO+a1Fvhv4ZYXQ1NwidtAPqMimBlhCmsP\nvTDge24Er7h/iLzRsbLDsszsO43cVSy5LuOfjUyZRsHqs1syQDX4W8/pOMxvRRy5ZMSai2UGHu0d\n5H0UbSl/K9Gk1Td6Syreqc7HasY57e2bjPd6TkfUcXgGNyvg/AZ46QGdgGAjoPF9vmZ8wzHYtgkg\nmn3p8lHjhVkq85kVP1VrSmYpNFgyZCJkHLEcnsbC7BX24HaDvM9lsWy6QFTqprS0XrKkrxmdxVCC\nvQZLp27FgLVrbcHTSpkz8Phv2hM1A79PsXDVJp/x5pkwIz3utTgyGpTTG5OhrzXonHfqnAfbQd7k\nvdHlXvDmDPaKZZ53LSH6HgkojrC7Aa6pdldZzzmP/UPuL+2kkAlzuSUkrJJgiDdLzt9qxvmyCswI\nxQJmL1c5L7Mbk0VTfbzVRJzHPeR9h9XRvXlOPKHjSKcOwXt1RP8uCgFvTXyyNzNrV2vys8/OyTZu\ndIDRFEiWfNbBkXHwSxVT5tes6mpCgkS3L5hjvbdSvr4s8iVpanCvTkHwm0+NA1drcszVBoO13g7n\nRPXj/LVAmXq0Y2lsmKH41Fvo/9cG9L+5ucHNzQ0+/vGPw/M8fOITn8DXvvY1/OVf/iUajQa++MUv\n/sDr3377bXzuc5/DN7/5TVxeXuIzn/kMHj16BMuy8Oabb+KP/uiP8Oabb+Kzn/0svvCFL+Cnf/qn\n/9HDPX2Ni1tvmQ2cgU5EuYa8L9Z2Y/RRfGEuKZYlCoBlDPzom0BhAGQbYHkhOiu+gDfXwP8+BH5M\nyxYhNcS2BaABwEv5900KnIGYsDugSKxl0aikKSOusmgCLQOWNt0KYCXEqNkZNWUEwwkPrCm3XR7g\nupQZbkZADKDjykXlAGHGspxdAva6yGn4yoYpVWi0fE8wYKk4UhI9F4Wp49gs0bY6xnGKIuRCrKsZ\nsLaAO/uGQROsgdOnQCoA6nYb2LrAfttkDbaSJVLwbHef4xtfMhqu1AxrsVDixbGSw1goAEEMDHb4\nnjiksxBvTbQ1mwpOSNL3UcjWO5ZNavg2Au7eN02hZzcs6Z6vgYcdUxro7AEQEkWWsi2WU6bzp8ai\nIvptwYavbXQl4hPAayoYtemc5VJlsC5mBN7WW/ysxRTYzPn7Zg95259VKE2+p8B4ynJ8uDV6aArS\njUPjtFUbfM3FBdl0A8EwbdbMLJZdZiRrLX7H6Ib7TZuSjy95rlRmQAH7G497blfwcfMRcmXvLKNx\nLDpcL1giV5KZpskKytf+fIFkBGsyXgXxJhEDoFqLc6m4F8U1KgXemzPTsphw7wcbA+jXVjFHLwkT\ncw5cPhZZAY8Zzd6+ifJDcS40i1qqcBzPHwPHgulr9szrksRogqlTthjzdWFAByuJ+Fn1DoAUP6Cr\npar6m6VISuzQmVbsYHvA/bfdEOys0gmKq1JYQEWCteEZz97okjag0+f43JohNChGKdpybMGWGK7Z\nLUuJrx6Zi7Fc5xooSF4zdEnIIDLa0jGNAoNhUmaeSohkKQMFlV7wJRvfGjAomY0MIWK9koyOZNcy\n0BlYjBic+gWW85OEupG1Ntde21KVZH5Wc46jK0zdNEHe21Yd2qoEj3lmdmawT+MlULV5Ll0hitni\n0KgArmVxDbTLibbrSlPTM1hB7iq8rX15VcPw5pRrmci5bHZop2yRTCqWuK7egs5f70CeITRElPGE\nEkeFonFAl1O+t1RB3lO31Sc72y2aZIJiXxtSxlbil2bJKg2DawtEvimOgNtLZhe1b2XJJZO0VgKs\nEhMeajfUji4nhvwQRYYRq4F1liHvYavVJm15aNk8bxvBlSoutiyZ9TRBLgy99YVsU+A5UzLScoxc\nnzQKgdrPvIXu73/4nLJ/EaZsb28Pe3t7AIB6vY7XXnsNl5e09P/UIP76r/8av/RLv4RisYiTkxM8\nfPgQ3/jGN3D37l2sViu8+eabAIDPf/7z+NrXvvaPnDLAXFBZKgrIEqHNhjxw9z5qAIBxLEwVMbTV\nugEB7nZYtUQBQMiNMBsa6m6tBXxiyf+PJ3zZDYBBygiynAHIgGIM/Ag4jkkCZLawhmp0ICoNIA24\ncQcdRkAFh4blbgXYxjRcXsLKaQoSA9ZbOmjRGFjbgJsBFYnK5hENwEEX2BdA73wK3PrAHXHiNK29\nWgKzFLjblZYfPtByBY+1NWwq1fgJBFfnL2nAj+q8GHYFjxKl5uB2miKAKuMa1CTLtmFz2Z5IWNyc\nA5DMUOjz0k9jOh8VS4zJWqLnspQKRFZk6RjsQb3FbMT4kv/tndCwaJ/Mco1svDQ2gFNVg/cWLHfN\nfOB+m3tC9eKevw9EmajkN4kpiqV0VCwxW6nOhTpHmp1L5Lsg4HM7AqZToJkwSq63+d1WRsJGSRxK\np2gchasLYG8fOH+f0e/evimvTG6Jx2tK+aBQQt7ou97mn3diYigV/NvKTJuVNGG5PBDWZLkpAGsh\na0wlmKk1kTdAn97yfF0+4jj7h9zrt2f83krFlHosyzQezsUjA+RNl19sg5am3OBpTJC6ZRPPp9pY\nTlE6B4hx9j0+Y3ePWc5ai2VZb869evuc570i5JnlBHj3HWC3x0t+70CYf7Ypdzx6Dhz3edE2eyLQ\nmwD3X0Wuk2WLxluWMquZpYZRuZgYZnfBFTyYsFwvn/D52n3pkZoatp6yb7FD5/TxEzr9xSL38uPn\nwPEO16As2VvNrGlrLc1u2Dbw4Ef4XbOhQBJEIuH2jGP3ZoAteMFyWbCBE8ATAsGgYUqN4YYBy/Gr\n3GfeEpisAGshEjYbYCzl53rHsCqzxMhipAkvXKcgWn4L9k+0HWDumUBLZT00072act5dyapWEpZ2\nb2bAjpALtL1SknLN2wPTpH0xph2wnRdaCwlsYD4k6WEtWeT9A363ZQFdKb2t54Zl6WTA/n3aoOXM\nZGLnI+T9ejNwfneOafMungKbKR3/cp3nbHSBvJtFq09nuN5icKa4MN8jdne94udp6fn9b1FWJPTJ\niG+26JA1uoZBXShyj2UwbFNHHJbVLVC7ZyRqbp+xP2yWUQy8XWDwNL9lZt6yOA++4MfShPdBf9c4\n6hq83H+Z5/T0GYMyvTeWYwZAlsBcml3agfmI50b7du7d4x69fsp16Owi7yGsjmOrbxywJAauLing\nrpnhYMO97VZN5rOzK8x9m0GvZUnA8KFDzPPnX23Yp6en+Pa3v41PfvKT+Nu//Vv84R/+If7sz/4M\nP/7jP44/+IM/QLvdxtXVFT75yU/m7zk6OsLl5SWKxSKOjo7yfz88PMydu//nz3+6pSGxbODf7AD/\ndh+w+lyU2a1xumLxwq9HLL2tpqb0ZgszL43oMBXuA+4MuNtn9Bl7QBpS78atMNWdJix7Ta5FfXrN\njdhocDylCvCG6NMo3sRfExzqByYbpHpG2lx8KePaF+yStwSCBGgIGLhUpsFKYx72LANeEibfZoW8\n9+P+CXC/bvAH+ru9+1JuuOaG3tkxqXx1PudDXmzNHuevUpUWJnPBm5SNjEe5ZqQGCiVq3igTRtmU\nhRbw8SOuwdk7kqGU0merzwh8s6DRWE64Hndf4+cpc6cpmSZlR2rU1+izRLuaCZg8A5Ix8L33gY9/\nhM/jrwz2xbIoE+BWaZRbK+J2jiQaj0PgZGAyjJYlZd6qwbBoRqTeJgVbs3venOu7WNIB6B3wM84v\nTQp/G7EMvRaigluh6KgVcFztPnB4LCBdkWWY3shFVWXLpjgyAPo0oeEvllhKrLeYLfTmkqV6gUZf\ndOlkq/5asOZaa7++epvzNLoAII6VBfl9WTBRK8H5SIlGFbU7AhYO1gJAT0zp3VsyW6BNz6NQDK/P\nS7854KXsFIA9iXrDLY3vVp7p4IER1L1+KlmXQHSh6sC73wO80IynVKZRPxYH+qVPCIZyaUpOJZcO\nWdEl9GF4LmWhkM+W2EC7aS6S1cx0aVjNkPfZVCmBbUDsXOBzP7uSBYhDjldVzkMptyznzPAsx7RJ\nUWQus4++hlyR3JFs1GrO87BzLK+TzLYr2cN6m+swupJeixFwcJ+X2e05M2GtvtGCS2OguhUJn4XB\n32x9OgLRFnj+Ludq99hkP8ItcE/2plPgvpxe0Y7N1gSOa1k0TVg+3PpA0gDu7gPtULKnTWN7Lt7n\nvHf3RBNPmNKrOfsU73cN81hLtGHC9ZqODfPem9Puqz3NpBrgia3TIE11rOLQZF+KLnD22OBotT3V\nVjIz5apIrYjzWCoL/CHi9yQRM9RWi45NcgWEFnAg2S6naLT9VjN+RpyyIqHlWm0OniaAH3EMF+8j\nb8t2e8vvKBYBq8YxOUUhPNkCbl8Cdx5wfxy+bGxIFNJeuiL3cSwEkPmIjlqa8P6pNoBijw6qMnsV\nl6c9UWc3pvXeq5L4UJJBoWQyyb5nJIBKAtxvSUJgNuRZURkQb2GEibUXtePw+ZR0dXBknH/LprNa\nqvD/KrYdh4S9aMk5iZH3AW7+azk4/4yfr3/96/j617/+//n9/ypOmed5+MVf/EV8+ctfRr1ex2/8\nxm/gd37ndwAAv/3bv43f+q3fwp/+6Z/+a3wVvtDnZTSfAg+PjAio7fASefIdABbLGa0eN/9yxEOs\nmJGG4Ms02sUKQMASZrGAnPo8vRami8s0tNa4Lx/xz4rZKQgweD5kJH5P8FsZmOVwy4ZNqJpS73+b\nelp6uDbCNKyUAW8INA6Q90D0pLzQ2+dnnL3LS6s14PtVSHA2ZIZiPubfqw2WO/7LBHjZAkqCzVnP\nOUcKwt6/J8BIycQUSgKW3zVp9kd/z1JJo8v5uX0u5ZKQa/D2FUuC7R3B8cnhiGMalFobeaNgFQtU\nvaAwEABpwkNvO6KT43O+ay0RfpTIPZFShSPst3oH+O/u8XNiMXDbjeCrirwoLx/zu3oHjIa1NKW4\nOMsmvqVYoRHXRs3aQsQCoKKvT75rGHTbALBj+b1kT8uZAb12JJu2DWg0/RXxPEksQrTCmFRdp2oT\nedPfODSN0G+ecdyOY8ZWkqzi9Aa48oETS4zRFLh71xi4Ygm5QORsxs/OLKBaJU3/zqvIM5mTK+6d\nx0vgFcdkumpt5C1T0oRs0sGBiJJKCUc1qXbuCDEiYMZqcMwyqnYHWIxYmuruizHOhK0VcK20NDY4\n5hnYSnnarfA75kPg1Y8ZjJ8C+RWn5K9opN0yO1RoqSkD98B6LmDlHaPZlWV0buPYSDzYNvesZgSv\nnyHvuRdthS0W00Hp7hvGWnvAveUt+D2qE9UWIDb6dKytgjhrE+B7/wC8+hJyLSt1IBwHOH8CIAG2\nK6AfMUNRbXDdtXuBbXHuw4B76PCBSBlkfH2wETB/ghxzqYKf2kC7UKJTsBhJtlqYtzUpdUUi+3Fz\nyj2wCoivtVqGqWrZdFQLRb5XNd0UK+d71AC8c8ecERXpXU4554N9zslccGuzFdBtAa+8Ydh73hR4\ndg2c7CHXQHvyDnDnPmCHwI6ULWfXBgQfRQwwYHF/VpuUqKi2jMSM4hGTmOvdkrPa2RXbtQXqOwZn\nObvled07MRUayzZMYc00qYyOU2B21a1xb2k2SjtSbH1Kctx7Q1rQdbhXYAGbmZF+6OyKQPWMgfFW\nSvpxSKLA3l2OcT4Ezt7jWHdP5Az7tCeDY+RK+P1Dvn81FUhBk/thJBnt3WNm8je+wTOfvc+x3H+D\nrPPlFHlf4LWUepU5XEwBZ59zEawF3rLm3ti/J4SiJUkqBYFAPHpKKabju0AxYZCbJszwKV5VW5Z1\nBOZSa/L9myowDP9VXI5/9s+nP/1pfPrTn87//nu/93v/rPf/i52yKIrwC7/wC/jlX/5l/PzP/zwA\nYGdnJ//9r/3ar+Fnf/ZnATADdn5+nv/u4uICR0dHODw8xMXFxQ/8++Hh4T/5ff4K2L9L5fnZ0BzI\nSp2Ls3tiLkHtqdXsA8/eZWuerU9nrdEhSQAOgBUwfp+p5EQu2Gfv0qGq1GjM4wh4csueceUCMUBV\nEJ81T8E+ZKAkxs0VpSLCLeArDR9Aq8To3rKAegm4HPPzHNHDuR0L8whA8jazcIHgnFYhDVRDNKqu\nz5hCXgVAXy6OYG2Yef6axqXVB/77Ei+LZtfgLyoNHujN0kSa/X06G6ML4kA2AvB1CkC1z/LB5NoI\nBl6PgX6Dl+1ruwS8a6/D2ZDGs96SSFicQX9NJqA/JzahWuF8a1Rsv/BfnoWJkIuxulWu62wmbYsG\nPITTG+NM6yV6+5wXUaVJR2F0A8wWZH2pU61ivklE2ZIkMVmh4Yilg1BA5dMZ4MRAWgCKGaNs1aMq\nCdNt45vybqNDo5MmgHvM/bmc0/CpiOvGJ9nAKQKXz3kR2CWyxMpVI2r5oiq2dqRIE4luG6R+b5Yk\nn2yFXLEKWR4uV6VMNgb2Drk+tSbyRtfeTLSO1tzzsIEf2+E5UWduKSW0RpdruXvM9yu+bTWR7hkJ\n4DnAwOWZ3D0Rx0QcyEab/94XRnKxJKW2guh+zSRbGRlpjVqbl6iSHso1Y4zbO8yexSFLnFUpBWmP\nUqXPK6u3XOPlbLmimSYX38ZjIKJ7DBm1+lZTI9NRcA3+K0k49sdvU8eu1jRZVS0jpynHPb3lM11e\ni/7XDp9pPmRp8fgVI7qq8g3tgWmZhDrw4A5ykew45v50hYFcqfEcwELe33Y5MdptSUICgO3wTK7l\nTLX6fN/0VrBAnsHPKcNQG92XXLnstiL26wClobDCb2nPisJ+i7Y8464LlITUoaDuch0YJIZJrCXk\n0TXL4kpGqbakBFUS0d7CC861ZJEf3uHz1wUzeXiX/59eA94WcB06wsMroFY3WdWNT8B4IozWOARu\nhYxUlXOxXkoWdG1kO+KQ408TE4z29uV5F7w/HJmHzZJ7WpnuWcpsU8EVAkXEz1gvOJ/lmulX+2Of\nEadWiFaaVXMcAuyVPFMosmzte7Jfb7hGN9eU+LEdvubgAR2x8YhOdLNneuCqkO96IZi5kpTPfc5x\nb1+00SSQ7h9wPFkKHD3gWS6U5NzaQMHmvi0UgKenfNbK1jyrWxXsYgco7BCe8f1vkJF/IPjfeEvY\nzUv3aJMvz4iVe+V1KT+Dd9RqIZjZJu3nYiIdZGIKKu/s/790Yv5/9vMvcsqyLMOv/uqv4vXXX8dv\n/uZv5v9+fX2N/X3OyF/91V/hjTfeAAD83M/9HD73uc/hi1/8Ii4vL/Ho0SO8+eabsCwLzWYT3/jG\nN/Dmm2/iz//8z/GFL3zhn/zOrU+j8e4tsAd6yCq8pxeqRh+tgVGFbvZomJ25kYwYvA6gDECkLEou\n4NSIy9g7ZKQ3uSGY37GJ10pTYSIlwBJ0ohoAdl2OIVgDJUm5jwN+vC0TXSwRN5JENPhtwSLFieBq\nEqBsEYB6kQDVOdAXZkrNkezdDQ1AoyPlUCEmFDrC6koELyVA06s5sCMCfM/OGXlU5MA3uoBvMcJx\nJLLViK3RFtD0ChiUmNUrNzmWqRiX40ORwwiF9enzsxpdyWI5QEHKrBUxTm6FB24RAI0EaB4hb0Ae\nh8D1qeA7RA6h1RO23Fzan0iU3+gKiWFDg9XeMdFuscyIeONx8hUvVZPfR1sjFqpK7iraqCKSqpSe\nxi+UpAvAsznwcJfGsX9AIzAfG1HDzZzGWstmts39c+8e99h2w7nbLE2WLhLyxN6ROCgOcPoYqJVF\nc6tGDI2Csst1AZLHvDzmQ+B/i4BfkGg+WZC929szGI3pLXFzlmX04myHZ8J2uJ+bDdlrTcOSrTZp\nJC1lmYXMbKkopFNk8+TdA36ulh42K2aP4lDYYfL61dzIv5y/h1zVXA3t0UswDdhlPOMLQy5ZjDm/\nwdpkicaXnKdKjVnkwZGI7Ar27+Ixx9yQ8nSjC7Rsnqfnb4tmV5Hrb4Nz2mhTQkX784WBQAA8k+WN\nI5atx5fMPLQGxim5fsL56uxxPMHaPIM3MxjI6Q1LOoWiPNua9kEFsosu0KsQZ7V7l9+Rpdy/iqVR\nuZlQJEHqAntYTo3kx3f+D15gScQMiVtldk11DMtVPvfzd4GDE85RoUTHaBsYR7BSB/70feB/uEtH\nR1tnQfCR3pSv05ZA01vaq8OHPGPXp9IEW1iiAPepW2XZriWsuiQCLCG5LMZAtcO9o1IdWUabcPjA\nSGP4npTPelzfUpmv37kjDOktWbNV15RtLcu09dr6AouQzJ+/RC5kensJIDZkn2aX9mi9MJlrZCwl\n332Jv7cdzsvW5//dmlEJ6EoAXCoboohTAC7eM/O3EEcxjkkmuvMy1+vsPWa4dw8Ec1biHBdcw4L2\npJze6ErWPeK9NL3heZsOedbaA2bAVOg1y4Rs4kv2uU9nx5bnSCI6jpsF91m5Tjuk7aC05VGSAG98\nnBjaUgW5OHSWmex4uOWctQRGoT1k3QpyrcV2l7JP2nJv966R1Wm0DIEtlMDLW/Lf3Qod5A/jz7+I\nffk3f/M3+Imf+Al87GMfgyUN3r70pS/hL/7iL/Cd73wHlmXh3r17+OM//mPs7u7mv//qV7+KQqGA\nL3/5y/ipn/opAEYSw/d9fPazn8VXvvKVfzxYy8L7D4VWWwYe3wA9UMh0vyOAasvUtCt1g8FIhSHU\n3WPmazkBjj4KQBJyyS0Qr4FSDUACrMdAJJeAKkNPb5D38vI9gvRtcOPUmjSowzVwKPppoRzGzdLQ\nqNs7yMUBlUGaKzUHyNvY9A9M7Xw5FYxUzWiyaPm1XEMuUqkNrDVzo21MkpiK4IUysLPHZ9BSYa3F\ncUwnRvtKL+D//Ag4iJhtWCx5qDtyUaWplJ36JksXx4at43t8rpszHszDh8jbRm0DI3Oxf9840lqG\nVoZVtUnaeVOwY7dnEv37ZKIennBdRpdSPhSHQnselsrC7BrToKy3FO3dboGtR+mNhkg7rOaMcLMM\ngM0LrFI3UhpRwCxXvSnRsUSOYcALUi+HOKLg4VYyk4Ew0mLJkOppSxMaRM1CVRpmTSybUa2dAJmw\nZItFvma9QN4NARAndypCv4Ix0r586yUQ2AbUPZ0CmQPs9snaLdhSTpeSfsFhhtSWaFezdNMJcHQi\n5VePYNo4Yqa2XGcmulwVPast1+LvToFPfRS54KpKBdgFYDUWiRDBOa0kA6j4kpzd5hIU3+jxcp1e\nG7yXNwNub4DjkxcA6I4pS2mZG+C5b/QM5sWRUtp6TmxNscSyre8ZvJxmEn3PnLEk4V5RvbXQR97M\nOUuNirnKZqiO0mZhssZbn45VmgikIeG/a3uvYGNYq80ex3NzCsQZ0JfS7kSCqEMhYIyv+P3lumRF\nS/yeQFh56sAnCddGsxU3Z8T7VOqGVRgGxKP5HhBEZEAf9IUxKZe1ZfGsLcfAVQLsloDdPV6yCjxP\nBLYAkJHc61IQFgKY7w2E+ddg0LGWACUDnQB/zf1YbzFLUikLVEQCynJFyq0DPtuL/VXjWEDeQmrQ\nknCtKVlQ0Ib6azo39TpfqzqI0wnL+/dekkDbM989vUHeIqra4D59MgFe2uE8VhpC5JGATDGETkGS\nBlLtqNQMnKVUEcLSkM+u2SnNAjrisPtLZv2vJoCzorTmjpAOtHNHEgOpTYdNmbLaZ5V3KPDOM+A1\nsbsKfYlk7bwZAfmKV7NsZrVsuZ/Gl8i73ADIe8Tu3uUe8qRkrczR/jHXveaYe/ziAjg64lohlTK3\nlD5VP6/a5PlsdpG3RAvWvHOiLb+rUjMlWtUum94i77hR/em3sP/lDx/78kMnHnvxozRAts0No7pU\nk0savsGBqDgLHsu2BTeWAaf/YAT3Wn0eovnoBSxPi8bhvW+SpffqK9woCkJUkPXVU+I0CiXJiiyo\n8N0Uh0RZTXrgXMkEqfCj4l/ikIetLVpR/hLwfAABCQcqkqiHXcVYv3kFfHyHANs4NFmfJOZcFApM\nGy9m1PWqNJj1aHaRN8zebmhkXVdKbCnnUHuVqZijvzYYq5IYRu1N5ko56+Y5Deh6ITiZDufl4AHy\nBuCaDlf6vH6PXgSjczJskAGPvsO0/N2XBSgrWB9/CcDmxaKXdsnlvKgUg5b3xpcsU2kpMVjTOYxj\nZkHau8gbSm+WLBsWijSIK6FbD4R7omtk2cSmNXsGbO2vDBuyUGLD70qJ0Xkc0Ymt1OjQTS5YBujs\nGAB4tUZjvV4CT+bAR48NVknn+8kp8PBEygoB/2t0+L7hmbmAnIIwPxsUY623WGbUuQk2dC67e3y9\nNjlXbJ52SAjE6Xccg/crlkSIeMax9g55MWpPvGDDzwP492rLNB7WwEOZg4CRf+gd8DXn73G+623R\nQ7tArlHWPTDaZssJS4blIt+7mvJSqne4/6bXPHPDczqgR/e49773BHjtDjPfrS7Hp3syWHPs/UOj\nuZVlzPDtP0De5kq7hfii5ZXEHG9rYAKiWpN7ulSh8zG64DlwK8xO3D7nurR6UrJdCylH9LYWY+Tq\n6qMLBmcahF1cAaWEAcDgmPtNIQEv9vLUtdN2SfGW6+17kj0q0hYkMXD+DnUas5RZnu4uxxeFogUm\nzNlSxeiNTa65Hzq7JiP3/nvsLFFrGBf1YMwAACAASURBVCykSkhYNvXwimWey/aAY88k41qumSBj\nK3inaoNzkIGv0czaaoa8i8FsyP/v3DHSP9MbPvvNqREtDQNmLEcXxH5FIfDuE+C+APJVJ08xX5b1\ngoMxJwmpVOZnLqdit2cs9XfkHtAy5WzI/aiyLipHtN2YYDXPQm453wDtz/iGfXOdghCqZkLOaJo1\ntEReyJsD7zwBjrtcy/EVsVbNHnLVf7fMzKSSFpKYZ1+DR20rpTZ0fMW5017Aqxlw8YxSO8NzAxWJ\nIpP5Ltf4nI2OSIdkklXNuGfShPto4/E5ay0+0+1zBnNa5ejtC4EhZJCtGVwde7XBc7maCPlCGLUl\nyTiriPvoXDK/NSD71A8bkn/gP6pTVpJLa+tzMRVA6i14YJpdYDQna9CRFLJGt4r9QAY0BoA7ANIt\nYG2lbi8LPrsBHl0CRwpw3gLrDQCH5T8F1W58thIKfGAREVNWr5Bt6G0EFAngeQA8bMsFvRTdGhBj\ndlDhOFc+MVY1uSjixOBCrlaAC8pmlCyg22BmK3kh2plcm5YwyqrZrAErM2Kv8wmwDqmYXpeo2i6Q\nFVS0BYgsJR5lr108BqKYmI+CyBao6v9swudvSVk23PLQAS84niMeuFKZh02lSVT/SvsVAnxWt4q8\nBUupTEd4I9FqtcGLSJvOq26PXeAlHqwN6y8UuRS7yOxRpU69uRMpu05vkbdTiRJg4QMNYTqNFnRu\najU6cyrYu3eX41QMm+psbQPOl14CKkza7BHLVasYyYU44jOs5sByAxwISHw5M6WruABURJqhWOY4\nlQAwvkSuK1apMXoOPCN8680k6qxwnVTCYXiOvA+dvwJ8BxhI9mA1p0TJnmBNKjU6vc0OjfBEIuT+\noWQlUmHFroFNSJZUQdiTCiLXMtPzUwBbZuPqbVOGTRO+p9HluPTfVlM+c8k1it3nz7i3OnIeV3Pu\n7YHgRuptIT+4RiMvjqStUZnPcPmIv+9JFqHkSmkuNLpp3oKvtyw6oaupIb1Ysu7VpunxqiLTiVxw\nGsUXS/zssgQi1YbM85T7od1+gaDU53ffnEo5sG406myHF5G/NppTbpVOjl0Qh1lIRBe3wPEe8l6/\n/oolsyw1RKPz95G3yyrXRZw6NbIzows6zL095DIwVXG0/DWwzoC6ECAKRQn8BKi/8aRLiWTbKw0p\nK0t2anoNbDMyXJXJCcsQK0KRDnJsIfNUqPZugfZdNahmwiAu1wxWUCVzvAVte3fP2JOiywxwrW5Y\nf74HjIciRC2wDNXTQkZHL03oIKgE094J8mDGFjav4s/ShDCGeptBX7BmALZ/l++dj40emPZ1zAS2\nUpWy+uQF3Fia0sGoS2k5EDjB+Jb3Q7FEu1OqGH0w7QOcpiLRUZNMoTrYmdH0Avj5zT7PukqKRAJV\ncIpcd2/BYAMWbWhJsseOzTNaaxlsbtE15+j5BfHGacbgLW+9JjYaMMxsFZ0tlaWSlXIvlauSdbMN\nW/byGqgXKXlSlvsv3hpZnsVY9l4dKH/mLTT+pw+fU/ahU/L4+/eAe31uon3JxMyHPBS7d7lxnIIA\niwOjx3X9jBtncolceLN9AG42YRiqk3B9yov5Tg9495olUttC3jYmDoG3l2wy3qwZKm87A+axYWmm\nCVP3pRrwoCWlnCFT5rEF1F0CZNVRWUW8PM6WQAcUml1ugCsA9wqm7YcvmadYMlqB94LAJMyBOnvE\nrEBLIqlikSWJlqTLJ1OWFWplwBJyRE30sP7Lt4CjBoGWB3ekhJPw4lR5j9An+H23x0OSifMXSbr8\n+98CfACHLWB5S/xDs8uDGPpSainzsGk7kGAFPD8HHtwHvvMUuC/4gNUGqBQMpqezKyXJJb9vNSOL\nJxd6DKgovbPP7/RmzHCWXGAugORWn4bx4gIoxCzz2Q7xfo0qnbLRhGDsdssYYMviPAyHnD/LMviQ\niuCg1MFfL4FgzlJkX7JCToEljDgibskX4+SWgUoPUovlz3wIbEfAwT25bANeGLWm2Yvegobsyff4\neSoWOxsyWzA6B/7XW+DHS0blvdoCenXDuOwfAqmMTe1Hq8ff+x4wvKVUi1szTgMgRtFjP8Vqg9iX\nWoOOz3zEc9doA+UWHdSSK+UmIVU0e8Djb/PC09K5IyWj0zPgE28CtYHJMA/PJQhbm2xPpWGCKZVm\niEJG42nMi0f7RWpLpPmQc6ElSVi8PBpdZgOWMyrPNzqcz7O3gblPgV9V94dl+iDC4oXSOuElsphw\n/q+vgLv3+J1rAYNXXM6hN6fDFYeS1S9xrqKQ+zVY0wmstZCL1fYOJcMrpVMtra7nwBtvGDbp5Fp6\nBYaSzetLCX4qmDNxKDIA1+8Jo61O7OLuXe6JMOCe3Xic7+4usCd4P28mJXlxLOptEbyVACaR7HGz\nQ7jA8Ay4uWQgeT0WQVgHuLoBHgpTPk3JZB1d8dK/94ZAPWZ0POot4oTcioGk+CvOw8ED09YqjYwT\nt1nSNrwIL1DSU7km5XJhyK6XvOBbfb5meMZ5P3iAvDF2sOFae1Oui2qcjS7p4BZLHFPRFbYjyNbu\nHxiyUqHEYCYW5ryq4Gs/1KL7gi6fMEFXE9rMnX06ZnFqcLqdHT73Ysw1b+9IxSA2pb1ylc62ti3b\nbkzGW1sz2TafL5R9dfVU9o0wjTt7QCzsa6fA10cB93V7QLvszTim4wMmNmBLAmXDz+7uUybpYz9B\nWzu+4p1cLPO8aAUrSUwfS3X4kgjoSSZau2VEWz77s+8jFxt3JeuafmjSTT/486HLlD15lX9WoHsc\nEhsR+byANLNSrhma7fTGRHZl0QEKNsDuS4B1FwRLhQkplEsgWwOZZHIsh5/nLeiYhSGNTbQlY8ip\nAAPRJFqM+P9aCyyXXgGFLZk+Kn+ghxEw4NDF2EQ3tm3KYUnCLNfblwBs4KN36ERcrYBmZsqhbgWY\nBEC/wg4Cx/c5Vs0cViTSnVwJdm3LC6Yr0hVBBuwOjGHS1HOxSIOXJrzEk9gw/7Y+cS4Fi7pCVoa8\nabFGQGHIw5MIRkD7NPorXg6+R8OlpYLxhQiVArn6tAKzKzUhOlxJpCesQkAA4BMa+pJIWlQaPKyJ\nMIzqHQOitgtsGdIq8zNvJ0C1QIcmDk2mobvPZ1qMDRvUKfL5NIOjLVkqErUnMY2Ct2BWRC8QjVrn\nYyGfVGmolR7e20feVidYG6OjbKKiy78vx8SD7R1z7GHATIRbEyFPwTEiNVFtQbKURVcMX898l0bh\nyymd9zjiM7pV6WIw5/f1943uUBRIG5at4MEKpuQVrPn/omvKQqrmrc5QKGWb3oE4BjKWShV5n9Q4\nNMSd8SUvHi2rbDfE7fV2Od6F6Fa1eubv4ytpeSRYG5U1aYlUwXIGlIoC2i8ZCZKigIN1PYbnvOT0\nvDq2iCsLZlLJBpMbYQP3+fdYANFuWYDYS2bekkjEOiPAtWhjDh4Iuy8yztdmxbHkWbuWVANmJNXQ\nHgoZQBiXqU3Gtu2Io5lxvzXaPAv1lpF7UDulzplT5LwvxyZDVm+JY7OSvS8YwlpT9qVgWp0i13Vy\nS0aeZtmjrYD0m2Jz9XxIBrfZ4xiVZZ1BulwUjESO7xPHqZgitU0K9t4sX8jajQ3WybLpYGnj+0Qc\niSCg7lepYnCMAJ/ZccShKTGQ0exMKg7CaEapma3PCkGnZzLPWp7PYAg/GZB3AClXJeAF2ZGVosmm\nq2jzUu6B9o6xLUo6UoHeYGPa1yVCPGh0+LzXN0DVQd5BRfsdVxq8N2bC7k0Tng3bNkKu3X3a3NWU\n+3S9QN6Dtyxl6yxlcFarGNxmpcH5XwwNK1YdtmAjf3cIR9AeyssVMYiFEsc9vTEs+JZUPkaXou/X\n4Xzv3jWZXO280t3n3Gr7puEV8ce7wlQOf/QtVH/nw5cp+9A5ZcP/VrSSUiMO6s2B6+eMkFQN2Zvz\nIHb35NAIqFmpv60BcPQaUNgHnbEIrDM6QDIBrt+XFkeatRC8xtVT0xfOF8PZ6NHYnj/iRmq0aCAa\nHdNKZOszIlgkwMmBiR7au0bOI00NYFUVnjMg772XNzxfMuo8vMeLvejyAM3HvASqTWEnzQQLIPpi\nAICM2bjFmJFMtQ10B3Q+S64RiU1iwasNqXv10svIRRArNX6H7RjMQByy3BUGdGJ/wCGoMOUfyOWu\nWTGNphWEevuc/UgVEP+ioVUCgVul0Q42xAhqU2cFiKokQWeHrymWjEOntOzNktkmZEZbqVQ2WJXh\nOfBsBNzf5fptNwKwL5v0vGY+bEdwIZas6Zp/1ovZskVx3qbhUFkHW4znxVPiSFRc0Xb4utmU+kOR\n4AvH58DtnI50GDCrcnifv796Btx91RAKtBRUECakti0ZXcjl0OIe0D23WQDPrshYG6bAgUSa4Ra4\ntoEfE1blwQODl9TMlOJKdD2DNS/nSMrLF9fA4T6zCMGGGdVwKwrcBYMNHV/xPf0jw3ZcjGUPjgwu\nqdllBKytYhRGsPVZnmwNOE6nINnvoWFotQdcv2qD7/HmvLifPAfuHokzPaeDXywZ8PLZ2yyBF4vM\nLGzXEtwVeKnt3jGO1+1zBofNnsliKdtUy3QKFE8iIYKILbl8xmxdySUxxq0ibxukelgFof7r/lGH\nZzbkf8USz9BGmG6bJQOdSLCnjTYd6e2az7eWjFJ3B3nHCH9JfK4KXW830n9QpUyEFLCaApengFsy\n5BAlXViWaW5fbRi2d7TluWn2SRJSyZXpjWTFlhRXtQsMchW7eedVE4QvRtIwXLLi8ZZnc72kA6dl\nyMWY37VKgAf3BKBuG4Y5MsI5/BXyrhZKArl8BCQZx2JZDCDShPOQpSabbDu0X7MbPvfpFDjpcvzN\nLsu7mzXQ6YjTIYxgfy3lTM+QP2ybznOrh7zl2Xwodq/G/ff0+6LbKCSmkQfUAKwBvHSf61Vvce9o\nG6Prp3xPuU5b6FZFbiOiDE+5yHNXcvka2zbSJFtf4Ax1ka+RQF/lcLw5z3NrwPNp2eZ+TkJxvmU+\ntEF8uc7nKpb4XLrHqw0GN05BNEbrNKXaqk/xx+qwRFtg+JwEts5AMmri6LlVoPzv3kL9f/yhU/aB\n/liWhedv8CAkibkcXKE7RyHLha0m8tYijQ7fO7th+lUjzyzjIWodAWkIBAseENthiUHlHSa3BMMn\nKbBNGHGEIKC9YbHkWJR6+yilVtmesJkWopnhFIFGDZhsgXLIDaYGd+MBxSrQkcv/yZSHrFjk5nNA\nhme9wot0GAL1jI5Jq8FsVKUmEhIl/r1c47Os1tSr0VIPLLIw7cxk4qpNjnU+JkmiUGSUosKaccSU\neqlsIrjTc8nsCV7FrRp8U6lisEHKOKo2eHiDtQHFWrZQvjNjcLZSLskgrFHJNqxmfL5mj7+bXBqZ\njCzjOlVqBv+kKu1pSu0by+IzKLtVFeU9wSXV6ibqhgVMI+BQIrREmFzzNeVP9oUoYoHfMbzg3tu9\nK7jAuaHDD8+5bxotzp+O6/E1cNIz4Gx1um+vJIoXDFmpQoOnzlxbmK8jAcHbBUaudYnQVYw3iUwH\nhOWUa51lvPA6fRpFb8rksCs4LMuhA9Vv8H3dXVOGi0NRhp+a4EAv2EQYt8HatGfSMrZi6IplOn7z\nsSF/zG6Qa1ct18CDV3gpKri5JoxbbTxdKHDc/kowSy+wMbcbo7kWhUbfazLlGclSA2VIE+MgeXM+\nhwoYK9N66/Pz2n3O8eTK7FvNaKkoaBKbc6J4Icuis+UHzJJXalwzt0r9rt7AMCFVl0yzallGm1Ct\nm/WrNvnMz94BHMuQempNM1Z1PLv7fO9mhVxLrdHhPgrWhpCy3fACLLrcr9oMOkuNVIS2iqt3GOie\nPwIeD6lBd3SXWZIkop1t9rhPloJ/U+ffKfC9nT0+38Zj9jUU7G8Y8Pn7B1yLMKBjq5nlNDH4utTi\nfK4FN1auAbdDwAp5zrc++9a6Lue23kaOASuWhEQSmsxj0eXYSmVh50sgXa7TodAG6sh4JygedHRN\n+Mm9+4KTkmDaETBQqSzZSw94/D4ljupSBldds6ffJfzhlY9JKRc8H12BZagDshiS6KIYwUyy4Nrr\nsyB4rvE1UBTbMTjmmFWZP0kMmS3wpM3WEfJepYBgY9sCK4iMhIhTNA7r9JZkle7A7BdNABRd5FI4\n2oNVe8Rq5lz76eqPWzFEIpWYUWmh2S1y8d0wECdaxhlGrFDdOZE1WoiskujqlcpC8Pv0Wxj8Lz90\nyj7QH8uycPoRLkRZyjXP3gPcAiM4TZ1q+vv2zCj5j68Y0apW0NkQeP1lbsThOS9kxZssRjwg1SYv\nr2ALrDKgagFNKclMPWCeAQmAOQjwL4GaZTYo2hnK7y/BpgEftXixtwDcZnytCwLJq3XJ/gTAkS3R\nxIrvL2em92GwluxZWaK+ugFPKsW5XJda/QJw5YIsCd1YsQO2w8tGSyfffAa8LqDPi/dpZJtS5tJI\neb3hJbdYUltGJTuqTcPMgiV4t4gHTXFPqp1WKDNb8uwJMXP1Fsfd6BlNsjikzthszJLM/hHyhrWB\nx0te6d4a/forGu9oS2OvLZKKQptfTswFYNnIm7WPb4GlDxzu8mLQjgOWYwDebtnIAagyf+BxvSo1\n/i6JAaR0wmotOiG+B0xm7Bmnqu5JQoPvzZHrfVmWRMeSXchSwyoqlEyUGEd0WGJhZioLMNoySNg/\nMfR1LSFX61IelOzI6RB44zVeBE6BF4cFaXDs8ru9GUstScQMFyz+HjBOh7bEWgi4uawYHwlsfA95\nE3N/wwvDdoQ80KXxvj01Ys83z/n6coX/tpwKPrLA/QXI2kiJr9biM46vmAFT5XVtUVWucc/Oh4Bd\nBV7+CM/JcmykRdoDvkcvjdXESJ0oOLu7a+b68hI4vsP3PX8HuP9R7ofLJ9z/ts1Lq9kxLaxUZiHe\nAk+/J2r3UkLSLFC1wXWKE8NsbHYN2Fkzxv7adFhYLymG/OrH+Roti2smbutT6253jxeq7zGTtn+P\n36sO6HrJ71c5EJUQsh3ukZqQelQfUUvN24DPtnNMu+qURP8xNMSASDCCeQYZZs9pia1/KFnX0MiN\nxBHnW9l1pTLP/mbF8RZLdBosi7CJyTWf/c5r/I7hOXD6BKi5QJgC915m8FQRHOlyIljEmjAKi7Qd\nyzGdplKFn6lSGv0jw8A9fRs4mwMPVQKjSSHzJOZ7VEttcIS8qfrePSOhonqaCm7XDhmq66aZRSV1\n6LoreSEMTLLBrRgG+XppMpUqdqt2WEu8APsQL+bA3fsGolJwzesXY86zW6YdUfiCYwGvfZLP9vwd\njrUkGOv2wLD6J1ccv1PgmEeXDCa1H+Zywn9vDkhsafUIT9is+BmHD00SIQoZTHd2jM149A+875MU\nOH6Je0GZl4uJaTD/3reAk197C7v/6YdO2Qf6Y1kWRp/i4qs2j2rPaJQ8vkCuZLyO6fQURAJDjXWh\nyAO3+xCwBkA2A2ABfshUbig6TBfv00GrNrkBN2vpIyfRxc2CbXSsAhlIcURHot3lRlenYbNE3rKn\nXGPUnkoEEQRAtWrKP3rIVPhwsxYmVApcXIqT1QSQSbnTZybGj4AkIE27LdHk7TW1jQIPCG2y+SzQ\nAdp4BG3qBaVYr4MHJiO2nPBQJamIx9aME4SMhzaNDfZrs2JEiMxESkXBrOj8x1L6UzkQ7XHW25fM\nz5nB2vkeyxyOI/o0gpdqdDinownQqACRRWD+1jdlnaZkcrYBSQGhb8D0GZC3BUpiZj+rTRoaCIZC\nxUu1j5qWmlR2RBmkbsUQH7w5DfViCdiC93gWkLSx0+bz2RAKf5lOgzbi1rJlqcLvmtwQ3F+pc5yb\nFfKed4sJszha8lhODDA4ifk5lZrBNZVrJguy9szvVZncgsH1pSkzauUmsLtvGLNpbJyOOKRzUa7y\nu2+fy+s2xMK5Fc6h6tepVINbM0SRksu9ovpcG822ROJErNkNo9U05e9I5EDKdV5AywkzT3vH3FOT\nK5GvSYzjs/WZ7T5+KGzhoZRnwFKXqsSr071ZGmd4EQAndzmeOOSaXD6RfqPC5M5gApLNypRjS2Xg\n+XOgXRUweFHme2tkeLZbYO0D+/uSdYpNWy2nYDCKJXGWfY97udkzwOebU372esGLtzMwMAjfo/2q\ndwxDW0HoaWJK6tGWwelixHlo9fhabQTuFHiOWvK96hyrQ6HnQLPmAJ04xTEqu/V2CJTF6eodSGZ/\nawgikS+lsL6QTDbA2VMphZdptxSrNrkCOrI/Id8bi/Ona69n1QLyRui2Q4dfHaRi2ZyV/qHJ3FiW\nCMiumBnr7fIZL54SS1YsAdMVsL9HLOTFNdAo0Z63e5zvJOZZzQTgX6lzLbV3arAxupKAtIWT4CUK\n+N7Viir8OpfLqcEu2g5wMQP269y3gyOeMb3fxlcMqrS8780FunHMM6UOnK510eWfFyNDWKq3uCb+\nChgugYOeyZa7wkzfrAwGNZSMrWb2oq25P5dT7m3foyOvGdAwYBecctHYam9Op94Vhqf2VZ7dci8p\ne1+zk909jn9yxfH19oHiv3kLrf/5h07ZB/qjOmXn70lDWsc0plWWWHuAXIdLhVtvxsDdO/wMf2Xk\nFu7+CID7ABwb2SRFtmEq3CoASIDh+9xUWgJVFen//F3gzdcJ+k0zg43JUh7yYM3Syd17Mm4befNm\nzeRp6cay+B2anlVAqi0U51oTsFzKdmxE+0f7852dAw8eGKV77e22mJDNpg2Hb05pwNs7Il4b8f0l\niYYqdRqO6ZCK4Hde59xePwOJCB5Ql7JvTxhGbkUYMmMBl2dMbzdEo6wg2T8F2VcbfO16hTzqa/aY\nkQo3/O7lmO/rH4gTLEyqF3VxbIfvDwWbMpoDr73OOb55zkyLv6GxOHhoSB2jcynXFEXstEIRVKdA\nrTBYxilTYV41WE6RhqEpeLKb53Qoay1mE5JYhGbFkZ3NACsC/q818KkBGaUlKVHu3jGyCnpJaOZS\nI09fgOnRVgDJki2zLBqd0RBotYwzGHiM0NsDfr46txsPKNiUujh5yM+6OgWCJce7c8znu71gJKxn\n5+wU2N0VTb+CwQY2OlJaEJzLXMo93V3O12JicGZZwpJVUdh41+dkjlWbNPrqECwm4uhDsh8QUsaG\n8+YLqaLR4fsWAlx365Ltc+hEbjec+70TfmeSmKyyN6dTmZfoMpbP9u4gFzhejQHYVA9XFqHqbW03\nJvsQx8y29vYMflFZblEoyvVFOqq7J2a/Oo7gkTLum9Annqe/Y5T5YykFDs/4vC0pNWciE3L+iHsw\njkTGQDIZPZGNKEn2fCbEpoZkjF9kcqpcwHxsslcnH+X/Sy6DMLciLMSBkBNidkpQR3425GsrErxM\nhnRMRhvg4x/jZ11fADuiwXX1lIGI9jTcCAY1EiiHtwBOPmLA3kWXwe1WZCUc8HeDYz6PZQsWS/bG\n9JZBimULsUaYuuq8RBGzoJsVuwls1rRDtbphVNsW7YWScnLZmLUhQixGRu7k9rlobgn4fnJDh7jR\n5b9rX8yqSNrUhajhr3guzt4BXvox4zgmEZX6Cw7noC5nrVg2AWCw5poXCsapWoykPOmw60OpbAJc\nW4KDigTTiwmzUo02z1ooJK7RiPJI/QOOvdLg+oYBvzPYcH9VGqaDyGbJ9Wj36ZypsLQGukpEuH7K\nkrpiPxsdCcbKACTgXU15Njae6Rurd+5qJkGMBezc5b65OiUOtyZ44uWMZ+bgviFDXT0B9v7DW7j3\nJz90yj7QH8uy8Pe7EiUUuPCaSRhfcvMq61JZRiq8msZSErGQN9Lu7ALFDoAikMVA5gHzG9lYCb/z\n+owX4NZn37d6hRtay1f1lolww5TCobZFxy7Q1HTVRNBKUVcHTpuCr+fmklY2z2YJplYkK7YKgTuH\nUnq8NmUCy5bmwKLH49giKyCgyJpE3lHEQ18WJ2R6TWNYLPFwrxZ0ZiyHB9SbA6NbUviTGFivgXrD\nYDMCT1ilW2bY0pgGb3gJWCnHXm9IBLo1EfZmSeOm7WA2C162vYMfLKVsVsDtLXWNGm2uiargD88M\n7VtT/xrVrSaGoalZgWLJlBuzjBeBNmGOQhpUZQKqoGQSS+sbn8an2TWlhIrgdhpdad0UChNSNH/s\nAi+Vosv9pximNBGyQGwAxoWS0dZq9ZAz8FSwMwxYRvcFsxQKPkrp9KML9k0dtInZUL0nzVKoM5Ik\nBjM1GwF3X+G/hZJh1EvbKbM8rS2fegfItaw0MPEW3NPvzoAfOeBnTKYENKuqfBTxLGSS3VUGYhwi\nb4XmCxnDdWnck1jK2BVeIluRWlEiRbVhtLrWc+kheSu6dZLR6uz+IMs3y7hmfkjyhFs2MhZZYjBr\nqohedLnPtgFfq+QbSxysiuDlVlMDqHelzNaULNPonOe71hThS5Fvmc2Bozuc5+mQwYFbNWXOksuz\nq0Bs1eHbLLmmrQH32GJssDzBmvZg947JEijjdOvTWa3WGUCqPSwUTLZMMTmaFVZwd7nG1283Bvum\nMi+1JnIdQKfAy3y94udqQ3XNnGWZlOsSISuFhpXnr39QnLlQ5H5YL6QkXDDZvKtLyuJ093nGISXA\ncg15n9j1QnCiukYiqxBHzLSlCe1jXRiL6yUdyizjOQo2dAhKQpjSDOPsljZSdcEUpG5bgruqGgcr\nS8mE7DQNe7vaNLYnFsmO4Zx4s8G+APGVhTkx94UruNI4BJ5cAff3zHz2D/iaq6cMFnJW9VRkgly2\nBlSiWUcCciWgKMt8vTB9VxUWUiqLtl7F3KUbgYjUGmbuvTnnU1usLSbA43eAfk+EdcW5nQxJmtCM\ncRpzbS1H5j/lPK+XfI3jmAADFsdQaxobYctdWipz360CEoq0N3K9w0xZ80OoU/ahc8q+d2i8brdK\nr7jW4cKqUdZGq4AROl3MgXIJiBJmnSoNMgHLO0C6AdYzoLEHbMaMBC1wgylIfTUFwhjYSrnnGozg\negD64tUv52TsVCt0IlRH56kPk9U+GAAAIABJREFUHAtGI9xS+2sLoFMWwPoM2KQkf5YrAKS8lIGH\notIwqsi2BZwtCBS3bco59Jo8KNrHsN4SRtCYRmEpzlkIaq8VS8DVNdBtGq2XywWFcqOQ82JJCn21\nAqINRXKnFnBcZzah6Aq785rNszWzt5ozc6IHvyhlXJVv0JYjToERznROvF7HIfZDsYKXT6XEJTII\n42t+3uF9GhF/S1D8zrGUKiORWwikNLQhs2r/REQfweg2jkx5OI6koXPDlKS3AR2Ecp1ZqQz8c1sM\nnvZZbErEd/WYbDel9sexEfZcjMmM9FPKb6wAHPbFKViS0RdvaSi9FSUpGh0pCwgRI9qaso7KuSSx\nwQamKaPCSo1GEIJL08ytXnJKgNAed+slx9c/5OsSKUNZ4N4ZTYFe2zg52hBdFc+1F2R7wL0RrEw5\nz1twT/SPjFBksQS8+z3g3gNifuyiECwkMMmFUpfM2m19zoG/Ar73HLhT5zo2exz7emECgnKV81Ny\nDaan6JpSablmLhsVrC2V+Z7hGSP+ojC0o8jgH1U0N/CoiagssUZX5CnmdHbqHf5Z1dzVCdOOAZpt\nycDvmd5wbHsnvAjP3gUefIyfeSX4NH9ttNs2SzrbuuZrCShaA/mz/F6fT0VW58Lm7e7xjKjI6Yu9\nGp+/zcxNZvHcryU4CNZcmyzjxdjs0gGOpBRWqtBJeVFCJk3ZNq0o5cPrZ0LAcISRLbIuvgdcXgAt\nsXGlMn8HCzi7BqYp8OZ9fvd6SUevu4e8q0e1aRxMlbV4kQ2pJJOrU2IZ9+4ib7i+nIq+W4XP4BQk\nk2QjV9n3PdqF/gE/e70wvXXXS8GRujKelcElvv0c2OuQqa5sXG0I7ziSaZqb7x1f0dZrFlDbdc3H\ndOq7+5JVKiBX3k8T2s35kE6WguS9uUAgMv59cMzxJwkhPbMh7XWxxHNTbdKJW6+A83d5Vuty3sdX\n4lQnrCpUG8hFab/7d0C/aUhivX3kfV3dGqseUSgZ6FOeh/XC3NdJwmDVdvg77YRRcJEr92vApt0n\npldUCdBOJ3HI7P7pGPjICc+jaudlGf9ebwObN97CwVd+6JR9oD+WZeH/rBkg9+wW2ETAyX3pdylM\nuSg0Ug1OEXlE7FZF5sI2zkOhBrj7AHwgmgPFOpBsKXaqG2a+BHYG5mAHEYBYwM0JweKOw8t8NAeq\nReoFZSAD0rKAnR3ZaIIZ8tekS49ioACqZJdtAttbbdMuIwWzeI4YvsCjQdLPigI6AKpptpoDIwe4\n35D6/Zpzs5oCQUh8gjpvnR1mTDpSthrNgaN9OQg35vUA8lZRSicfzYBiRCdmvST+5kjKVcpSml5z\nbHEE9I6BvuhKjc4l4vYJ2tRsVhjS2UklS3l7TqPU7kkmaS2srAWd0HLdpOcVjF6pIW95Eqw5H0lI\nCRPtD5clBrDsFIzTEayFDVukASq6wGzBtUsiUdwuEJ/XayHviWrbLPtUGkYrazaWMtcu58Cb06gM\njpA3rR5dSAnPB5oVvq/eohGriwTIaibsOV9KhkPqVJVcGp8sFRLGgqSQ3g7yRtbrOQ2441BXqexS\n+WXpAfdOOB6naHBdxZJIZ4xY9my1pQvEyLDXZlOgaBudMmXUancDt2pwP4USsHGAprCulPkYeJyT\nck3K2Qn7+b36ipnncpXf290zHR+WEzpK2nLHtpBnQxttPsv1M8OSVDC9ZXPPFVxmgisNU/7T1lBO\nwWiMbQN+fmfA9yzHBDc7BSOpoZIg6qy6gntzCnxW7W+rQPXtmiUuLQ32hbyisi2awQ8DrlkUcA4q\ndROoKKO2KOwyAHj2PhCvgTuvCNZmI0GlxWfp7NE5UOiE4m+1C0Wlyv8XCrSfyzGJTY2WkGpcgRmI\n1MFmaYLE20vawpN7Zi9eP+M4m106BSq/sF7I/pIgMFiTRBP63J+KG1QoREXsTOiTYJFZQL8NzJbA\n7o4R+dUL3K1x7LqW/hpAympBs2uYz7Mhz3+tLVlDcdiVoKD9iC/f59q7VZ6Bco3l5jRi6azeEmHo\nLSsJ/SOeo5tT7qNCAblmmWbgFcyOjHt7MgMaAtPYvYO8q0WpTNvQ6IiunmY0lwY3q0624/CZVQA2\ny3iG0tSc0YoEczenyHXH0ph2T9nc9Y6BHoRCZtoKM7XWEhiNzc/JMgZ0ywlt1t6JKXVWmwZ8X64h\nb6+URAzG1CnUjKva+kZH7hipGrWEhDO5EnxYmUzUxxNgr0wMdxID8xnv2nLVZLItWxi///4tdP/j\nD52yD/RH2yydPwbWEeCBmjB7R9yEAEybmthowDR7QsUXgxiGXLT91wG81hG3fgy4QHJOyQg4wPix\nNE1OeFABAZ9Llurvvgscd3jAlfKrmYQ0RS6Aadvm0Psee7upIGAcE9NUbYkui2DMiq4pVanO1GrK\nHnMnd+TS2DXYF99jJ4K9OwYQPh+ZQ2I7wNUVcOcu8h6Ulm0O/+TGpNejwGQdb66BbpeR4u05cPIa\nswdHL3M+HMek16OQ2UIbIBi+QYbdndcMDX8+NNkajdgdeU5kjHaaPc6LNzVlyOWEhqHefqE3nxjk\nDMaBdisClC4ayRTLoiGyZM4dwVpoj0NIeaTSAK4eEQukJaRCEZiO6YhYNtfz7qvC4t0A3/828OpH\nTJRq27yMb8/4mv17XDt/AyxHNMzK8tX9VKnLXggMa08FOLURtgL4w4CNuHf3Tfl263P87YEp1Sgx\n4eyMrZMAGjZvDpy8bkqz3T3u1c3SgKG9uaGz5yzcVEDxJeQO8NoDmk3pBVo1mVwtqYVy9pQEUmmY\nco7qWQVrcUBEuuL6KddmuiCIOk2lE0JMTaJay5Qnpzf8/JyF2eeF6C041sGRAOR9lu39Nee+XBW9\nwgUdgZLLNmHVuslqVeqSjeqbS0ozEio8Or6ULgVlI8KpgpqDY7l45lyfbSA6eAXOnWpH1VrMiNSa\nBuCsjOeC2JRCAXlD6PmQ5WTH4XpaNvDkPaAQEROlCui1Jr/n5vQFvURxBvbvCZllK4QKkR1RPJdm\n09Zz0WCMTQlTM3W6xoqrUqakOqN11aETp2E5Ra5lFm75ed6MmTWAZ82bETcUePwOy6bt096PWqrU\nxtMqk7Ne6P1Ap6tSp2PruoIpC7nXKlWTKZ+PkItg9/Y4Jm3NdPq2OCFii5V9uRhLSVUIU6lgIr05\nsWqzEdd4Nmcg93+z92a/luVnleDae595nu58b8SNzIicPWBD4IIuMCUmuVpu1JYSYQmDhMSjhVAL\nXvqhUXdj82g3z6Yt+oknw19gqmhRLso2ttOZzozMiBt3vvfM5+yz56Ef1vftX2RDP1AmpbYqr5TK\nzHvP2cNv+H7fsNb6lD2oTrqyuFX3sCdaiu6SUILeDh2wqycSdDhcx52BjLfLPbZ1iKJ92cEBCWkv\nfILj7S6NvISKEKso+eSCe9ddMEvV3eLcWzbffT3jnHYFn6dSMyoDc/mY19w+QqFllggJqtaC0W9c\ncb7aAyOFNNzn39sD2gAVUFc27nIsVYDUKAp4UpbsNsz6VLtSqQE3M+KJleii7bCaPY5j/dc/zJR9\n4D+WZeHkNTplHZFk0IhFHaJ6SzJMAq71XS6slrLfROqgVAb2fxrAQRVwLSSLCKVyhmwJRAtupppE\nkUofzxL+v20ZVlpV0uCRUMRLFYOpUImDwANgE1ummKTeCCjX+V6BazbRPAFGNbOBNQLSfpJZZiRB\nKlWTqcgyfkbB1nFILZ2qY0qJeUbAbZ7RCUsiailVHCDOga0dLvzllJF9d9swz2YS5Xsus1Rd0etK\npJyrejGP32TUevwCil5vqi+lGJjxGcehUuchqYdeFAgey6I8QLCRUpAwg+LIKD5vlsTAdfoEeAK8\nZhRwHAKPTKlyiY5kTcCyixsUPUXnU+rDtXpysJTZcHy4b0oJip1zV1xX2tBeFbyR81mCSPpk1jgm\nt2dsDXV0zOuHnmBshIiQxgaLBtAQKgljNeN7+h4dkrpgTa5PJPu0lF6MlnFqohCYLMn2S2Me6I7N\nEm6nbzSjhnscv7f/ETh63kh1RD4N484xn2d8LtjH3ICblxMj8LiYAoOR0deKI3EmfNEqEkyeFwJH\n93jwKabSE0BwljFDEIcMVFIhvpSrRoNrNWeZU3u5auNpdZzHZyYDU5XSWOibfprTSwAWM2l6/1KF\nh4ZdMsDpxS2dKu0a4C44Die3wE//FN9lfIaCfayyKf1t4pbqkp3T6F6ZsSrem+dSMg0YuPSGZp+q\n8HES8f46r5ZjSAtZYmQ/plciASPv4liS+d41razcJUuTjbbRALNtwdhlQo7yaOccyZIlIdegquKX\nKih6zCpWSrN6sUhe1Oqc79k152ywK4dixjFVGEkOrvdqzZR0S2V+p9YykJTLd1m+e1Z1vtExjt/s\nxpC4FHe0WRldN81+3ZyacVfsWhIZp8qTMmgQA3sHxq6GnmFOrqach+0j7q/xGccx2DwjpRFwba3m\nZnxLJeD8jJiyVp+fGezRSYyFhLZe0G7WWpyDZtcEcO7cEIk0czW7AQ4fcG+PL1C09ot8EQcfMsO/\nGPPvg10zppB9qcF6a8CSdG+LzvDoQOxxRRymxMhLadcYAEWnjbP3eK0dIcSoEKyW9TVTGmzoCA73\nUQjK5rLHLZkDbV+lYtytnklOqMPrCrziaIfr07bFNsz4Dipj1RkagkDoA9bPv47Rhw3JP9gfy7Jw\n8ylpKZIakKlmrrSv2PSCh0WjQ4859Jjl6Y64wALBa3TugqJht4LFyAEIm+bx94xeiqZrzz32fmsJ\n9fdsAXQAJKAkQ7kEfHcNvFxhn8cooJ5ZFSQHlB0BhKbU/MpiOmqVOjfijU/c10GV7JTVGhhIunvl\nA81n9I1y8O9JQu2wOAI2ITDo8R7LKTAJgP2uwXUpgF0jY8fhAaltWA7um/LZZiVaaTcoBE4Vr5TG\nwJMNsG2zJBb6KPqCxra0bBIAv/YmzFJx8GJGZDko8XH/gYDmV4bJurjhvTXtrtGdY/Mg0ufRNiWb\nJR3Bdp/OZChg/8ATI90yVOtHb8i4N1lajizg+bv8rkpPlCuGbMB1B1zPgKoNPP+yIQ0AhiEZeFw/\nHSldRKEwh+Z0/JSNVCpLdqzJ910LTTzLeLBUm9I4vExnSjtSbJYilinZIrska0kYe6rMfz0GDg+5\n9s/fofOvOj6NLu/rLoGTt4AHH+P145C9KxWsnuUScbZpPDVbuxwLaaLKQ2Kww89a4KGsB/UqBg63\nJUNrU8up3TOHpDsTh6MsfTvFAgUbKc/YBgyumV5/Y6LkljgYCkjeLPm9rUOBJkiG871T0z0j8FC0\neckyc+ApO/H2jOvTFuxPrc4DQIkGlZrJSKaSOT96YIKRODIHWhqbctmzPQWH+yjanSmmsZDuCLjW\nQ8mcHL8smZ8Z11VVgpLA40Hkuzx8tVQ72DFZMgscL5XoKFfoFCjerCQAa83a3Z7R6StLeb1SNdI1\nmiGMBbOjQrlaVto9ltK/Rxv57vfZakmdUs2oTMWOzG6B/bu813pqIAiza8N6zHPg6Y9IEtq/z2uc\nvSPVgxK/o7CNWkMa2ItDprIOWua7fJfs0qrAA9TJnV+LIyYBVrlCZ7fdN+xDdU6VGBQHRhi33uL6\nnN9w3WQ5M4tKcNA+l+0B1/n4ApiOiWt2SqY1kjbc1vJdpWbK8godUIb2j54CH3vJkIzynMGbIxIY\nb38f2N2jPVJtMc1yz27pdOeZIUZpFxMVBrfLgC8knuWU56X22AXoPHZGQlI4BR4vgLstVk0UUnDy\nFisl1Tp/n8SSvWwaBvPkgtCWwxf4HGXBDnsrOtOjA2Ejy3pXQlRZMH9ahVEozGCPz7eeS5vBY/n8\nL72O1v/yoVP2gf5YloX1L/MQWothV9B0uW42aLsvkUuNi7RaJ3Zls6AzkCWyCLtA+y7Y7zIHcpFe\nSNdcmGkixthjajqJafDmN0AYs6Q1S4CtGjeytwIyh42sLQs4vwFKKZ24JAYmITFiBx0+q7uSzQNq\nJs3WvP5IDEMSGWyMK8ymak0O0ogbWmU1ak3JGjSYRdRNmwOYToHj56U84wJeAPT6/J5t8zObhcEa\n6HeXK8AqAWXRnQkyGpWSMEQLOQ9xKpQdZ9mG6Vqt01nwQqAirKc4BiDReqVGA67X0oyaHqJ1yZRF\noSiAC8g4kblyV8DFLfCR1xhlKWW7XKMxjEOOVaVmHC11cBwhCmjWII2kvUxdyjQiclkuc/3cRMAr\ngv1YzQxVvdVH0bZFgeWBZ9iL/R0UArfrGe+v5eGbC2Ltqk2DRRlfCIutQkOtivlOCbi4pI5emhjx\nx4rgpsoVk3VcjLlntNRxcwWULSFhCKNO2bBpaliCGnXqoRMFhn2YgWBwVdqvNlD0BUwTXs+yeQCU\nKiRlOFL6aPd5H8W8XJ0Qj7N3yOtcvidYE8fgrBptrpXIR9G9oCPGORTc02DXZNQWS+IzqzL3UcLP\nrKeid1eG6e+nGSlhvCrbEBCcnTjRP3gTONqSDgcWs5cqjKmtnGYzZplTGcvhrpHKsCxh+YqsShTQ\ntmg2J8+MRl5N5jEWqQ0Vlk0kS6YaT/o9La22+ryeYsaCjREMral0zVRA1p4R4x2fSwlcNKe0I0cS\nAj/6R2AeA6/d5xquicZW4PH5ZjNqhynj1LINTCONjABvXXByp2/Thh7c41xEHm32Zs7PhlL2rQm0\nYiPYT1WIz3Pg9JEcunekxGaZfaH4vDiSYMKWgEcqJ4tblpRbPYN31AySZQvm6QKINgK6H4jchZRo\nVYi63UcR/CvZJQ4lS5wJdjgnIaG/y/WsnQEWtybL2uxIssBn4Kx6j0lE511x0+u5gQEksZT9hZS0\nnEgAUkHRkmg54zw1WobQE4V8lziljuX4zJTXk4iB3gbAwTaDp0bX4MXyTIgvdRMILyfci6MtBsGD\nfRTt8lScPYmN86waZqoZt1mKbFKZcx9HRoJjs2L2Wdt4qUM82JbM5sYIXSvmTTHEirvV9dT7H15H\n/X/+0Cn7QH8sy8KP7nGh9LY5CWkqYEiJTrKUEU9/hxtiNeOC9l1+vtbi5htsAfd+yQJefRXoHMjO\njEh186eAe0tvIs6AAMiXQDIHIIv0WZZT6KNoCnz1BIXSdblq0rnrOZ+53ZMy5Y0xdFo6uJwBwwYz\nJP1dE/lGvnFUSmVzeHii+RX5NNQaASUAqmVuhK1DcSKmpkyhTZJbXY6buzCl0s1CKMZT4HoK9Oo0\ngOUa30tZQ5oZ8zeyMSVCU0V8xbH5Lu/V7qNoEA45eByHZbZNRGyECqEC4hTUef2n7/Kw7W/zGZ0y\nimbX/ppj2d/lPdyFKQuFnjB6xKgGktFTlfHFmOMDyKEgcipKS/cFpKrZiOsb4hvafVNC1tLbwQMZ\nwxIAi8+t7WC0vK16ZKUKn/vyBNg/FpyMRNj+RjJmjfdH/tqTEeLU+CEQCAMxitg+qVQxYP31jCrm\nnQEPA82SadN21ZJTqRhti5MkjGS7Q3OI68FUb3Ed+wJYbgm43rYkM7pi1iUOmXVVodQ4pONQFZKL\ndiRwHAGc+8D3vwUc3OFnslSYcivgzvO8j0pAaAlKsZqDPRp6zxWjvjSgZHclWZCSgTBYgvkbn0t2\n7QCFsHNJ5GyaPf47FMkHT/SqWpJ1Xk958HpLwK5wDlXmQFmRKjxsCR6y2jAwgsffN0zZepPjORGJ\nGxUYhWUyGTenzEgpvkj7GmoLGtWw2r7DedOWQXlmpAxUfLRUob1QPGajjaJVjm3xAF+OyWi3ba4P\nxXyqJtaz13p8Cjx3xPldjgXXtOA6bXRNyXmz4jpWLN5qQRyVsvR2j3kvf2PwTL0dPtNyYjDDnQGK\nXrLeikFNuyvEkFuzJpVlq0SW21M+c1cyx4rb626haKWUJqZ8rd0y2gMU4relkmErDkTGQkH13S3a\n8JN3gMRnWb7VY9BddvgcgdiESt0kD7KUQdi2rH2FyuizK9u6VGMZv1JDoY1mQRigYqe0NKyN5cdX\nDKD375sqhXZ+capC8hAbOTxgAB6upBIla8gp0WYoYct3uQ4ti++hwUGlarCi/oYt40bbfF7dd6dX\nwEhkVlS+SDGUmjGOQ14v9Azm2HeNLl4U8nzvbRm5lo3YxlZfOkRIYFf/ldfR+9P/xpyys7MzfOEL\nX8Dt7S0sy8Lv//7v44tf/CJmsxl+8zd/E0+fPsXx8TH+6q/+Cr0e3fsvfelL+NrXvgbHcfDVr34V\nv/qrvwoA+Pa3v43f/d3fRRAE+MxnPoOvfOUr/+zLLX5JyhuiY+W7Ao5uG7ZdLhGHU0bRV7A7EqDu\n0kRQdz8F1h89IA0ApwZkSyBcssSlIOreNu9z8ga1yJp1AzAuV0X/JWXZ9PKEhnHlU1Igz7hBlJ0T\n+uI8gs6XlkQUOxb7cmBWWWKLI0NPL5dFR0dKqtorUI2HbdNIOY4c0mXBHsGUWABzECJD0TQb4LO2\nBzyMVhMpK8yA4dCUGXyXxrDV433iyICSM9HpyVIjtqqZKc2+OSUpIaXM2A0GRj06Dg1+QrFDCgZv\ntM1zhxtTflXm1NVjNi3W9jQX73F8cxgtOVWq1oyU5/JdM5lnHYNM2FnNjlGbb3SMc9vfpnG4PuUY\nNuT5Vbla9ZwgWZIskxLBiGMQhXye2ZWIndb4DMN9ztl6jkJI050zI5ynPDx8lweAKqjHkWl1lMaU\nbNm/x4N3fs33UKJKEjFY0JKb5/K5BjsGfKv/3J4a3ThYHHOda9XTU3yfu+AB0JU1iBxF83bt3BBs\nBC/S5nvX26aBsW0zwp+cA5OxdBKoG72tWGQFdC9fXJCtWq5KedWXPZgYTKe/MVT+UtkA08cXKFoi\nLSf8997zPPyvTwz+RZ0KPcSUPALw3Z0Sn7czkrW8EpHMPoAQePqI0jhZxnZHvS4zaHXBEHVHksW+\n5PVUpwvgd2aXPCiDDZ2NZsd0t9ADeyV6VErgsC0eSp7L6+4e89rTCyHDJOK0S2alPWBGZ3LJjGOe\nU5IkT4xGFSyD0dRMjYpSZynHHaDzbdlGQ05xQbNr7uvbK+DwnnF6tNRXqohUgzhM7oLrI0x4qO/c\nNdhAxQm6i/eTDpYzlkwVGqESCYCRq1DRXA2MtE3dZmWY5bcS2FoOA6NKDbg8Y6VDoR9JREyqbXFP\ntXrGoVrPmM0bCBZXv6O2T9mNmkl3BJc6v6WDpjjKNBEpGcvIqwQe7X+5xrHYuSsYw5hjXJKybCzk\nJUscat/l2VMVCZP1XJiNMd8vB/dtIhi60ON3Wz0UrZcqdSMM2x2iaGlUb4q2ZZUEs0CSB7Mrsf0J\nndJO10COlL1vPWMbNWt9JUQCrdio5p86ay0JhlcTFH13FcowPucaVhZ9ow00fv11tP/kvzGn7Pr6\nGtfX1/j4xz8O13XxyU9+Et/4xjfwF3/xFxiNRvijP/oj/Nmf/Rnm8zm+/OUv480338TnP/95/MM/\n/AMuLi7wy7/8y3j06BEsy8LDhw/x53/+53j48CE+85nP4Itf/CJ+/dd//Z+83M2nULQAijNg/w4X\nVq0hm2tjSo+qQD4+Z2Ta6EjroEseXACdlqsT4Oin+f/hDZBFBnvgyUG4HPM+lkUgaqnERblZA8sN\n0Kqw1HKdsc5eEXB05AOTBdBpAFFMMHitKczGMTNAIeik1QCEDtACgff9DjDxgGoGhDkxArtysC8W\nLB9YlgGeKxh2syKAv983BmR0gKKVzmbF6NKRw1mzE71tUUiemdRwGtPRVXKDRqyzOWBlQEV0sJpC\nJT8SHMHZ29QbeuU5SUFLKU/btJxdUV9ta19ED8Hvx6HBa6mi/ukYOOxzrCtVKQN53LzlGg8Wy6Zx\nRM75md8At5csZTQEzxCHvF6zx3nx1sZRSCJqbXke11AEUu/tEgrx2STmZ9UAz25ogFXyIpYszvYh\nnYJH3+dnd46k1CkH29MTYH+P8+BFwNaIz9URDbPlRPBUbVGKDyXAaJgsRBw+E4GeAlVL5lQkPlTV\nXA1+GkuZS+QMtDepSsmcvc01XXmGIabBju1wrJZjFJ0p6m32j31e9JWQG2C0GspISrt6aOQ2swbV\nmmgaKfXe43jlkvX1PeK1agIwvj7hnA12GWC4giFzfWBriEJPy5N1oHI4NZl3JQDpGphemwNRO3Bk\nqWiurZnta/flAGlxrlWJPU2kJNNkpmFyZTJSeuAqK1CFWQMPRc9W5Hzv3WO+w8kPDdO63ubaU9Fg\nlUbQtjvbd/icN09FO2/LBBO6tlXm4K3vArUyM8FacvNW/G6rx/022OXhp+24Eikj2SW+87s/BJ57\nGUWz9zw3jDtvJersEiipbdT+suUq8M45cFfYqe5c2uUI9GB2TYdO+1raJVmXCe3Bei6swxoxiOsF\n1/RwT+RBPJk7l9dUrTLVA6vUabPGl3ynUMD5dQl0cnAdTi+ZSVKCju2YcqY2BtceqddPeb/RIR2k\nyxOgXmdgdzVl0UUzmL5r9LI2c2KKlZmt7cwCl2u9OxQsn6zFlQ9sDQxDutHmeHgr7q1WVxjDImXk\nr+lYK9vVEakXdWh1/WtWXEuDrT5Mz2KYwNiyTau92bVxZOOI46+CtlfvcV2N9g3JarBjzk3t/qHO\nWJbzzOwOOd9aZQrku+0B38VdGKLCas7nGwrbfDkRTcKaqS402uacVsHdOAKcf/uT2fuy9OPcbHd3\nF7u75BG3Wi28/PLLuLi4wN/8zd/gb//2bwEAv/M7v4NPf/rT+PKXv4y//uu/xm/91m+hXC7j+PgY\n9+/fx7e+9S3cvXsX6/UaDx8+BAB84QtfwDe+8Y1/4pQBTOUPdxlFah0+y2i4OwMaQMXhpAkn6fAB\nF8Zyws1WlkV791WgNAIOq8D5t4H9l4FKD/BvRFRUpChWU0YEEx9YpkDFAloeUFoRm1UVLIedAp01\ncOMCtgccSKmoFAKpxYjBj4B8TQfx6IDYGAs8EOMY+AcP+MUdAxTthmBTchuYpgaIHIXA1Qq4I/Tl\n6YR6OZ0RaeaRL5FIDDQ0KCm3AAAgAElEQVT6XOyhZE+SmKD5zdoAcStVRjhaq9+IkcsyIRB0gNxi\ntkc3aGfIjRv6zAy8+jN8tuVcettNTIPoUoX4lhw0Et0aM1mVuskEOQ5QEZmAKGSpczoGDrp0SrYO\nOIdPTtheCjmNrSMl3UxKkkqLP7hL3Eqlyk1bqXGTuysCp20BsWt5tdoAkgtmCtqCgXDKQuWX9TS/\nASI5WBotZss6A65Nx2EJw1vzunkZqFYEY9OWyPsJpR4Gu0I+CEzWQXFMcQTkJaAmJfLHN8BHXuTf\ns4RjU67QqY4D4M4debcFx3E1BZyVAU2vpkBbSC7Tc2Drjin1qYZUsy2H2TMHqLagOT0B8oBjloKl\n//UK+NmfNUHA7Rmj4v6AB2jkEbcyv6GjWwmZeWr3eRiprlkc8nAZ7vF9FNdXb/LdXJGlGOyaDGIa\n80DeEVze7Sn/rjp04Yb6VMqSq0qkr02ye1sGiL9Zsfx876Nc+9WEGdeKBDyqo7X/vCEkLGOuPe2Q\nML/l+IWSKehv8e8qiPn4B9yXdiLBnOCsPBd4ew48fEHW1rWUlmdyCFV4OM6upL2ZYLr2nuO+vDnl\nHipXgSAxGMFGB3j1kzwoF5Id2bvHd9o64r/1kPZjYY3GUm5zDaj93ovMosA2QQws2hKA35/dGpkN\nR4hMcQicnwDbwgIdNmgPtAVPuUKb7DiUWeht0bkpV/hsNSHt+Gs+V2fEPpe5lO20o0W5yr09H8v+\nz7j/Lt7lftu5S5uhbbBawqi2bAbeacrx0Cbv7pJrs9U31Zh6i989fZcB1NGR7D2HAZkF41hqn9HB\nDoAdExzGAbNIBUY4Aya3wNMY+PkHJnOl/WntkGsqiQzjdjUDDp43ONzllPtMGaDaSD6NGfxrBhMW\n98fowGSbNVuqMA5bSB9xxDG9eE/eX/4GcF3Xm8LgFKe8u8095i6lPC9ldcWO9ne5FrVjgLZxSxLi\nrhOxp9oNYHxGh0w75MQRtclqIlWTp4Zk0uiwRKxEBYXW1JpSYo+o//iT+PNjOWXP/pycnOC73/0u\nfvZnfxY3NzfY2dkBAOzs7ODm5gYAcHl5iU996lPFdw4PD3FxcYFyuYzDw8Pi9wcHB7i4uPhn7/OX\nNhCdcpL+/X3gV464QHaPuUEUSHz6LrBzwMXnLrl42gJu7+/QUK0nQD0BGi8Dh89ZTEflFH+tr3iP\nppRqWn3gjmRx6lJWPD8ThtDzvHccAccCeFQQfrkKbAnmIYl4gLelbKlsxloDQA5MJsAvbtMYtQRw\n2R0KEDgGOqd0hIZyqDcfc0yqjf9XXR+8j1Lwe1uSdo+B+z+FouWOtqjaLFA0gg596cXXMay7LDUS\nAcpEG+6KHk1MA3hwl39PY8BKTYPY5djIcHguuwFodm85lsPUIU6g3jQlZn9Nw9Pu8SCdzNlLtNkF\n+gLyr9RoMLU9zWZNx8CyiPepdw3QttU32I9gI1HozGgGhSJ3sXVotKi0/JClzFiUqyh6KWrZrTuk\nwVOB0k0IWFL6vf+CAakrozWLgd4e39Fbm/6Sy4lkuATvtfHMob9VYdZie08wlCPRDCuxXDa94j+l\nkjyLw/t0twyovb9jmJNKoNC+lPMZkG1MFkPHSh3qXgdo7ItcAmi0h1t0In54AjwnTk4qh85oD3jy\nLvclLEpnrGYcy4Ywaue3pvznrzlOza4QSMD5rNR44CqwebPkuskhpT7JjrWHHLf2QPS3IpMZeRY7\nZZeAzRUd83aP95ld8b3cOZ0zFRbtjmSNNYBuldk1xX86jsET+htmzJQMUa1zvTZKKHpsKuu7I5kJ\nbTReLgO/8nPcfyrOq0Dps0fA5Jqf278j/fyWfCbF03ox0C8bDJVd4jO5c86NZtOikA7CakybUmsI\nhkxILAo50Cy1is2uXWaDG20TtDx6FzgSopHlkPjTGxnsUxxy/z3/MoqerRBA/nDPCIaGgonaPeac\na8kzz2gXZjfv17TyXcHCSilas1RFo+pbZmzKFSCes9KQRMxiuXPpv9uhE5BlHOv1jNmbmzMUavH9\nbWPTbMEmVarA3Rc4vyePaFuqDRMI3J5RvNcuc8+EHu+3dSANxCXQ0g4PnQHf/bjHtTO74ud2pSTZ\n26LDpfNxdgm8/BozZNMrc+8sNWD6J29wjmZjlhIbbclcSxZa8WGWQF4sm886OpCOB+KYIwde/BRg\n52SuahY1lqz2UtiglSq/rySnap3vN73mc7a60r2gRrve7DCb1+4T5/bmt7jfRwdci1rGVxiOEufK\nNSPNsxCntzsyJc/l1BC89Az211znWwf/NZ7Mj//zzW9+E9/85jf/q7//r+KUua6Lz33uc/jKV76C\ndrv9vr9ZlgVLucX/Cj//k6SO01TwBML0sh1uunqbuJHVlJmp8jMbOw6F+SNRy85zgM1EH7J5DrsM\n1hIrgDUEGg7B1IBERyVu6Mgn8HIkDlYSU1LAtoHde0YBWVuPqBCj5xJ3Uqpw0/W3UfThyzKglAuW\nqceFFQiAU1ufpAkPkyRh9KN9Eec3KPR8WuLEpIngXRLT6Lu7JWwseQfAEAeUTdTuG+abppfXcwoi\nDodSsl1yk2h6PPSBqTCaFhPDwuyNeDievCGkBckuDXZpCFpdQ1Vfzjlnkc9MRasLHL3IjXn1hEzX\nPEehQj65pENUqgBP3gP2M7b2afeY0Ql9KWsKU7DZE9HZGEXbnYqUL7TV1eIGuPcRYoxCz0hNRAJc\nd4TOvfDJlg0DXhOgQRjuAyMxFL1tObxb4qgK5qze5EHfEKaZgm+VjBJI2XA1pZPXHQEPfopzNr/m\n2vclw+m6DBoCj/dTNlm9zXVm25yj5YzsxlZPJGMuDYjfKYkTvWeEQFWjLY1RiPRaNjMQ5YoECRnX\ny92+gPhrxjFKIuD+S3wef8PDcuvIlL4WEyDJgNouULLeD4oPfRRtk7TMFwcc9yhkT7313Kx5ywbc\ncyDsmwx5nhoKvS0A58WE67G3xUN4foWixY+q0SchDydlY6qT0RlR1NSdA+Nr4O4DyULdCM5FZRWq\nnJssBd77R9P6qDNEoTMY+rKXU2bXNqv3Z2GdbX5nsE0ogLaKqkgWPIm4H0YHwF7TMIv7OzLHUtra\nucvv+i6v1x0aHKiu/9WYTmOlamxob8S1fPDA4J3KFdqbLGXXBRUULaSGhsIqleBO7eT6kliy51+S\nfZAYJuVqRie4MzRlvizh3ObgPUplISf5tAtxyPHrDgmbaLRFTLr3jAOyBiox3ycQkspAsHwFO7Mj\nAs83lE8olQX6AJI4+jt8xsv3eF3ttVxvAg8+yn1Y6DQKMP36KYrWQMuQMjBJxGsrZlGzfCpx4UiW\nZ/+eKPpLVr5cBaoR5296A9Rtvvv8lntKde1C12Qfh/t0MneO6DjFgcAbBBPY25JM+aXJvil27elb\nPLfqXa7LzGegpkFiFApjvY5CqNUN+J1KB4hW3BtKHtNgbrjP4FPZ1wcPeKaFgen2oGVnBf4vx8zA\naYIlz3jtets0K3dK0l3F4byEPvd8uSawlrrY5X89t+Nf9PPpT38an/70p4v//5M/+ZN/0fd/bKcs\njmN87nOfw2//9m/jN37jNwAwO3Z9fY3d3V1cXV1he5u51IODA5ydnRXfPT8/x+HhIQ4ODnB+fv6+\n3x8c/H+7uZmUEYb7nCR/DZy+xcnWyOvui5w0Xfja6y7YEFDoCNMKUk60cwA5MH/K7ychI4QsNU1R\nfRc4fwpsMmCvw6xMc0IBworDFiDR2zywu1vcGAsxfI02n+W9HwEtke+4eGSikNUCWIcUNC3ZwHsJ\n0LGAu10D3LQdo9isQp22YwQRk5gYlyyh0Y6lNJamQBbykI9DaTEloMjzt8nWLFkmI6dZFM9lVBOF\nHKc4ZJZktM/NPhU8jbZi0d5l6zlxenHIa959lZtmcskNpjiY+a0B+N59gEJ8MwxQKMjbDopWNVkG\n+EvgfCw6WHKYPHiJh/302uDmlkKnznOTTo8CFGKeyvzcOqIxsx0+xzvf5tz1t00WrdkjgDeJCKTv\n9410B3JDONFgob/DufbX5n4lMbgJeL/VCghWLA8p01QFhG1bFOabhk6+EXJFlnFcVXE88OVzUpZQ\nzGClyjVTa3Dt3mz4nYowvNYz/r5cZTDgr7kvkoQR5rZE26dvC2g3MnglyzaliOml6G5VjdG3bBQq\n8JY404NtU7qq1YFyyh5681thV9W5PjQKt3KWgWwHCARvpfN0+IBr++1/ZMuboGp0n7JUyr8Zta2a\nXc7r7l0eio0WcP8TgDcHzt9lj9X1DEUPTtsGgqZkDcC1WqoY53pLyqi1JufDFRFQxSKtpswINdoc\nT3UIwsyUy1XbLcu5LlZTriFlCbZlTVw/EVkQKbWFG45VrSESJh0ULcE2IoERSqbYXRNjuL2NonOH\nAqzjEKiJjZoLTjCJ+F7bR5Q48NfsyTnYARpDBkinT1BI8Cjw/M6LsscSrqVG2zA8KzXgzgsmo1Hp\ncu4DYfwdvWiqBvMbQ+xZzwS4HpvgMPINXkgzWrqv80xgK3VicJtN4r4UA6dac+sZg6uN4J12JCAf\nHUj5TuzVWnFMIk1Ra4o9mgO1Eu3fasoMWCaSJoM9ISr5kvEUjNr4nL/vbXN9lStyhmXA4kpweT3B\n2T0xLHVHsKwDKUOuZsZJ9dYMOCt10RETlqbi+4b7wpQVZ2yzNg5zo2P6/Y4OeK3ztyUDOTZYrbUA\n+VV6qFzhdVYzvtdgV+y1z3Xa3X4Gj5ewnJ1D8NMhz7pa05yDqhRQa/JMUJZ+HPG8TWPujyAFem1z\n3pVrxlZnYmtVjuPkTcGh+QBsoBn9C52Z/5/8/FhOWZ7n+L3f+z288sor+IM/+IPi95/97Gfx9a9/\nHX/8x3+Mr3/964Wz9tnPfhaf//zn8Yd/+Ie4uLjAo0eP8PDhQ1iWhU6ng29961t4+PAh/vIv/xJf\n/OIX/9l7qq5QJhuy1uCC9NZymKfEb1XrdEImF4Dnk1qfZTw4SmUaaXQA1AErBLALIAV6JcB9aoyk\nuwQevwOMRlzQh3dF36cCtMvAfM5WM4226GgFcvgJWFoX23QC+DnQtoFbV7JsAxC0bZEtWfPZa7HR\nAv6NZHVub4C6ALK1TBEJE+98Duy16WBO58B2n+MR+MA/vAF0baBZNoKmGx+olPjfthi63XvMpKWp\nqdmHwgxyHEZMfgDs7EiLFAFmBr70oGwxWrmd0Dlq96SEIKWswOWm1B+7ZA7PaoN/2yzkmhtgvgZe\nek0MyVwOGCkjJyEd4X3JeGSZwWTVRO5BpQ/yDLiaAPVYaNJizKZX0sg65sEYbjgP/W0aK5X/UP2b\nepsHpW0Ti1ipCLhYMiza9kbb0yjhZDkhqLpgAMfEYdXrnPNWnzo/KiuyHAu+zuL62kQUga23jSOm\nDde3jgAIiFxJLJrVaXR4fXdlDuA0MXIH7orfi3wDClajDsuQUy4FV6KMtzSRLJCUgKOAa/u9t4EX\nXuUavz1F0dsOMh5BxGh4NQHuviKsVJtZmsWE4z65ALqClZkJ9qTd5/6+eixte0Q+QLMP5Spw/yMo\nRF3VMTh5B3jwERSq73FATFd/m87SWoDWScRnufsS31MlQVSHqb8N04YLXHvzG66zetvgt9p9Hgqq\nfdXs8l3rLWK/VMHclgCxLfi26TXHqd4ymaWaOOBKrAh9oye1GPP7vW0jcpsK2zAW4tNg1zjwocu+\nq6qkrlmTQEDy2jmhUuW1a1Jimt8YnM7+8yZTAlCkeiMyI3EoARlM1llB7M+2ago9vuvWAZ/3diKE\nCcE+prHRIqs2RLT3Re79zUqYsBZtmDqv+/d4YLsrrh13YTJdL3xUMmbCyi/XuM+13KWdOM4fkXgy\nGHF9ehb3jTJ285y2Yn5tmI7tnpBcBFpSKks5sf6Mcy3Z9USygsM9rhNX9lxvi38LfWaUlivgWCQw\ntOvM4X0UXVp8V/Qnq8ZWzW84brZD3JTj0AY1hS18dcLMWxQB7gXfS3GV43PBBYujlSbAC59EwUS9\nesxn7m5JNlQyuz98C7i7T2dztMc5uTnhnB29BEAzmoGRqGr2uXYDFxgdAXYFgGSgV3M+a2/LZPWz\nFOh+3Jyb/gbIp4J/AwPtao1wBcuiLND0kmvRFtznakJR8KYEBz+JPz8W+/Lv/u7v8Au/8Av46Ec/\nWpQov/SlL+Hhw4d4/fXXcXp6+k8kMf70T/8UX/va11AqlfCVr3wFv/ZrvwbASGL4vo/PfOYz+OpX\nv/pPH9aycPYxTlizZzZ9f8fQtENfdIxioU6LIatJahYZEIth6h8CeLEEjARpW64B6zFVXPsVwM8A\n10N8HmF5JiyVHLDKNOpZwojiWZyGv+EmHB0S13NzQgdmOuXGqJSY2VClbJW3iHzg/Jxq+E6JWZw8\nNeXBimAeTs+BB5JV8lzg+hLY2zeG/HQC3BlIFF0V6YanNL7DXbLGHIcipHVLIryIUXG5woWt6f3V\nlOzNnkQl7pzsH9VaA1AIu97cUqAWOctqOweCOwH/re+apdw4mxUKdXWNClWjptYkTiPPiS2p1Y0I\npALQi/ZSKQ/3R2fAq89LqyJhlCnAt7ctZeaIhBBNa2s5cbVgdlJVyL21OMGl97f3iSMUAo/KXrx5\nyrR8ltDwdoZ0eqMAhSp6mgrwP0PRpUB7IUaBKa1MryQaFiNbqYnqubBD84zvPbvhvOzfFZaZI7Ip\nVaMrpsHL7YTM361DwZHcsPyrEhHaZeB0Arz2EgrqvmVxDUQh141i7NKY46cMKYCHREPK9TXJMiUJ\nn3c9p2O0WdHYV+r8zuSc4606cYsJZSD0IO2NOM8zyVKXaywXdkdGZHZ+a7Kp3prXaglWbL3gerMg\nmnOCKd14QF2wSarnNBB85OwaOI2Bf/tRYehGgHb4UCaodi4Y7Lxf/kGzMXFkxEa1RZFK3mRC1Mlz\nZhc0i7acGmFjZFwvowOTWWx06CguJ1w3d18SApJot7X7RsMwz0WTMQAOXqAjt7hG0dVhI6zJestk\nOtsDrt845pjfnPBdd45RtIob7NLp1nJgsyvOfcD5mFzKNUI+Q6PDrH+nJ5izEveikhwePwZaJclo\npYIX6nGfq/7iek6HqN4ULJiQKKJQysoimaDAdW9tZH/0HFANL8fhPUKfc9fui916asresEwgoxk/\nlQ5qdkUOyBUsZ5PX8za051pdiAORauiJZEnIjFHgCt7ygN9dz8za8V2u1+4QhVakgulrLSMtpILA\nGoiomOt6brCBKo9TrfP3zWecR+25qx0mVKk/TUTnTbNr8jmnJFqWuclAL8a0RdW66aSjGOXpnPAC\nJQ7YFcBpAOGM76TBsG3RFsUhUB+yinP7VMgDI479ZklbVW0wGNw9lkyksEMrUp7WYEh1QbWMrQ3J\nu//bTx778idOPPZ7e2QODvbk0L5k6nS6AGoWF72y2WoNTmAUMvu0mhq1XwvA3qsAPn7ID2c50N4h\nWnl2ArS2gDQE4g2w2gCLXMAO8jCaGk3lnwyAgI8Rg3Uqib7SkMa0WmMkFHlyaG4BKANZYKIDd8Ho\nz3KkdNA2h6RlG+emJGWLq8f8Xp4D6whoyIYbbAOdLRq8m1Mjf6AGWzWoVOLAW5vMSSzZmNA3pQSl\n3G8dSdZtSWezqallKR9UGxxKZWhpk3NvLY7wLgqsURRI2avOe1REDiL0zTNEAtRdzWhsmhrxuzyU\ntWtAJhioLGNUrUxcPSS09Y27AsanNPYdNQAL4hDThAZza5/z5Mh7WrYR9Qw8HszKCtN5uH1qcEjV\nhjmIV1OWTDSjpr1Xo5DObXeL7+atTHScxjR8aiAHO1xLoc8uA5YwjrVf5+LG6KqNz022sNkVR17K\nE6N9cWhlfNWZA4x+lPbuU5HKZ1sMqahmtSGCrmPjVLd6Ru5EjXhdSnx5iYZ3s+L6fvqWlCgdYPeI\n4+tvRI6jYkrxeY6i56NidALX0Py1bLx9xGdaTbkm0hS49xrHc37N7wHi2OZCCGgYULAK0boLfr/V\nk3J8neNeqRtMk5aM7ArgLUw5F+CzKwazLrI3HTmkTt+WbMVaMFSiS2WVgVDK3LC4X/V6RTP6mNcE\nTEYo9AwGMJCx0x7ApbKR9NG+hb7L7GcQcMy1/Y5l0fnsDIBSA3DHDC4qVc5JHHLdlATE3tuWzIRt\noBSqGTa7MuV7JZU0O3SINEPZ6nJvKRYqiUyZPRf8ZprSxl8+NvqEaUL2YaVhyl3aKSNwmfnaPUbR\n6krxtrdnnAsN6qoNrlll1ivGqVzh+E8vDa6xKcG2Jeu+2RGso2/WKiAVjIyBhu0YZytLgO9/B/jE\nvxG7Ks5eEht2f2sHyC0gWdFGaLa8M2J2No44bmEI1GrEdY7EjnSkYtTsomgvNr/hO9U7/FyWigPX\nMDpjigVMc1Zo8pxZuJ6UhC0YKRhLSFTaT9YXu1up8TxrSPm0UpUALKI9Xc2A+x+TqsHUYBmXY8Ek\ng/N99IJoj01pl5AxcVAqm7L07IoVnciXLKOsy0qDVZSBEHwsoGjG3uwC2cPXUftQ0f+D/bEsC2cf\nN1Fno0WJgY6UAhVkHAvdvCsR2uwahUry7Npksjr35cIO2NTSAjD2kW94iNgA3CsemNMrGgCVP9Cs\nRiYsxnrLKENr30eVGPA3XJiDbWA2IQEhE7qxNo3NLWA+AZLANAEvV3iN6YIYnA2Ae0IDvj5l1KiH\n4HLC59L0uycYp0icAwsALAOW3Cz5bHaJmysSx9AWDFCrB1yfsWTnCF165y4K8VbtK6mCr9qvzHa4\nwd54B7grcgTb4lxp1DW74UHilIHYZ6YRMO0zVFxWhRA3K+P02YL7qTQZhYceCi0qNQiKwUtTma/c\naOCcvgd4M+DOy/ybMuE0Be6vgOWCrFpdZ+Wq0bSyYPTCZlc8XPtbfMZ3HwHbA2Y5lSYPyYgmkYma\nz58A27u8ZqMjTokr0f+A681dcUwqVSFwdM1Bs57zudZLAOIUaHZOy43VOt8/EJC+ZlJKgntLhP4+\nPue4eT5L9LZD7T7FrMHi4ZDnwOVTxhq9Nt+/v4NCEFOdb81Wu3N+t9EWFl2V+1UzOWuR7xjsmaxi\nHPAAdNeU3dD1AnBNbZZc2zvHzziUFg9wZXcCDD4ml3z+Vpd7YTU1UhCKe3Qlem+0eCB8/x+BO3sG\n/6PkF8dBob3kLo0WVm+L84Bn1oTuMyUhVGvc45s1n1c7atSaIvERMuqvNugcxIGRZFjNuLbynN0Z\nukNhl4bc77UW15iOe+BR+3BvS7KJJTncQMcujXkPXfeWZd6t1TMHuJIulA25mvHdRgcik7I076ul\nZBU79tYompB3ZN6VmamB1WZFG7BZMHPy8kOz54MNP3/1xOBl2wMBrGdcJ0pG0X7Hkcd5afUM5ETX\nwvUT03A7jSXAahq8qTs3sinzG46VPgtgRJezlIB9DeLyXMrYgQS9Fc6PZpgbbRTC1YBoIkoJ3pMS\ncFvi/vXsmXFtCoNTAl7NZmmrNYB2FhDdOxtwqgJ4XxqohWZvKyIJpLqAkwuRbFFMcM4MNkCnslxl\ntcQWMH2jyfvMrkRYWdZelqBosbVZSYnywBASNivqNYaSJe+NuHfXczqk917js/lrI1eTg+M5vqDD\n2BsYPHilKll+YcMnscG1RgHFqzOpuPSETFb/1Q8zZR/4j2VZWHzasDTqEkWVK1yweU5jp1mZKODE\n10SwTvEOpRINWP8IwA4IjNgA+QSw+kB8DZSFhu+esy1KmhrwdA5mJ4KcIn8aGWo2QVlciWY8YrLV\npmtgagF9AMOagCVLKMRw5y6ZNkkCZDbQbgljMAQmK6BdAxoNvncuWYz1gobFy4F2haWmHOx1mOds\nUJ4k5uBudmncrs+Adpv6R0kEXJ1Rc60nGzaJ6DzY4AZs9gj6twWTpvpwlsWsQV0cPDU65YrJJC1u\nGJkdPhCq9gx45x0CvZ9V/Vfphjwzhkl783VG3OCpYIFmHnC4S2OvzwEYlqoyKi8XwE99TMRtZzSg\nWUpHJw6YuXs2Q6M4LZW58MTRXoyBWQx89FUzPnrw+i4dm2qdDqtizEIP+I8/Al7pGo2iclWMXZuO\nT1n0sBR76DgmA3Z2CdRBinupaqj643PTLmZ8zlImMgP+9tc8mI5f4VjbDt9BleM1ap9emchesxRq\niPu7JugATJZWs2ahz+/83VvAJw64PlS9v9ERmQMBDWsPRG3dAsuI6a7nHGvFGPprKUUe0ZnRsmCw\nYZurnS1mdrwlivZIcUgMjTpfjmNwlLVnSDDrqbCLaxRtbfUNq9op8V5XTwTsvsffuXMUzcMVRL9Z\n8fm1pNXqi/MmAUMUiup4ZK7vrUXxX+Rv1otnspWeAUFr39LlhGBpb20Oe8vmgVeSzIQjmZrpBUx/\nyhrHcCUHvR7qVTlAK3Uz7r0tBkShR9wSIKK3oJOqgUWSiIyDJVg9oOinuBK2YmcoJetUyn4ixaAZ\ntSTk/FbqfJbV1MjQOCXDLL0+4b2ckmQJE7HbglNd3AK3Y8rjqOOsXUL6B0AeMZu0mhpl/7svm0wS\ngKKpuvaVHO6/XxanvwugBIyfoNDrUtJPd4uOgWbItVvFekbWuJIpAK4NDUS0IfjOHY6Hyj4ok1Wd\nWe3Jq238tBOJYgfdBXD/41zbEIzgekE28d5zgmuUoN5d8vxQbNX8ltfZPea1r59wjOKQc6iwDJWg\n8aTaoTIvSUh7s3ssjrFAbx59l6SSTQBsbfMcaPeknCwVCm3XhZxzDfBc9V1iTTcyJpU6ExiRz3fb\nvWNshHbtmYqMjSZCnr4pSgMZWbkaBGafeh3d//VDp+wD/bEsC8t/J7IITU5iGBil8dVUIjNhryEX\n1k+V6U+l2qcJABtofLzMFTYJkC5yOLUMqKfI3QQWcsDy4Z/48AUbUKvwUNdDrNYAqi06QWVbSi7g\ngVFrcTFpJsdzge0DkbO4IHalmQM9qd03OialX29xc95MgFFPeqQlNPyWQ4PgiWZTmvAdtZ/bIgf6\nJYIxKzUUTVoDecyd0CwAACAASURBVA5YRk/G89lCRKO5IpPQMZgG7bvZ2+ZG1OxB6KFo9eJ7xMr1\nhBGZZTwYx1dAHvPw2CxYxqs2aBg0U6YUcW0Sv5zQqCjwWZ0ulWVoCWOv1iI2wXNZZoojFK2oYJmI\nKo35GVUCv7gA9vZQqI/3tlEojK9dpsKrDW78JGWpp9ZE0S+wt22yZE+WQDvl3G/tcQ60r11XpAVg\nC4bMNziNZofPe3PKA8qp0SFWckQqpTvLoZM3WQGvfoRzdPYYsBIjB6AHfpIYAPvec88colKCrrdF\nckMkKvJcxGOFZKE9EB3H/G1+y0NERZhbXaPPdfmEDnKzJ2SbkpGxGOzw/VXiIxMspmYdo5CG3l1I\nSQLAcCSSKmP+7uhFOgyaqVqOpSWOlEy0NO2tec3eCGj0gFJNMiglIE+YPfBWLKl3hpLxWqLooWkL\n1siyBO8k8gtVORzXMzoEw30UCuvNDoHK2rVDs3SWJaywTEpR6pTmRudrPTMlu/WUZSl/TfvkiNOu\nZJhGg/OjzMZyVXBKvmRYQcdHy/+blYEZOA73g7LbquIMWrYJTEsiIfDkDTojqxn3VKvPrFFnZJpD\nrybCCm3zu8sprzsQpnGScFzPngJ3jrkHLds4q2nKa5fKtN2Bb7KXmonWhtaVqnFKvPX7AdtZRsev\n1UNR7k1TIQuI3VJHNA6NDdGuG2nMvRFHxMHu7wOtIe+V+LKeKiZrqZlDxUw2OyaQTlNTBtYyuCcZ\nbu37u5ya7jGRZMWsMrP89RYz840Oiu4WSghR+MDilmOr2f5SmddQB252Q9up2mXemt/RrKbjyJm0\nkkrCUrrbtIR5m6Fo5VRvsuyZC7EoiQQDmnO/Nbv8W+jzfWP5+80cePFF2t5gw9/3tvncScB/1xr8\ndyAAfndO27JZmT2jpKTQAxYzzkelxr2n/Z4VKxy4Bs+ompFKQKkIQ7Py7z5sSP6B/1iWhXdfEFFI\nyYYNdmm85zem/KNYCFX1T1OWJo4PuYj6O0DnHoC7NeDo59iQvFQDwhUQrYHNraySNTUy3AhYA/kC\nWFwKS2oPTGOs+ZVKF8y4JcDqXOryDaDcBfJABO36PCgu3ubG2b9v2HKeS1yS4mG0Oa2yAJVpqLRo\nXfx5xo1pQdLLvpSKugZ4O7uR1H6J9wlcFH39FAhrC9AdEK2sronyFe+lrTMaHWZuUOKBk2wImC0J\n1RmWAMhFwmM+Fq2ZpmDqfNP+xfdQdGZodc17bh3yGmdvm5KNGqJylTA+RyL3VLS+WpIFafdQCOcq\nQFVbebhzOmj9PWEcisGJBJhdqUo5N+RYtXv877//DvALn+J4LqciOiraP4HL8ehtCXbnMa+rTbv9\njeBamszEHDyPoqm2t+ba3btHY6t9RIMN/97uG8D76IBjl0lWTNuqxCGfR5svV+o8TFVt3l1SeiPw\nucbuviJgX58tbJKYc29ZIuQaCEZDjF0uuLHlVEpULrOfRy+i0EurCoYpFadQ9YzaPaDUJFZpNeN8\n7NzlgXf5GIUEimMzPqq3JWIW50RJC1qmqNZ4n7e+B9x7IDi/DWBJdG5JFi4VfSPVgEsijuv1E9NC\nZrPkOmu0TVZUS2JBwHfS7hKrKfdBIPjNpQix2iKDsXMsGdxLU5LWDKUjQdTWIYq2Oko0yFIjfKkC\nqMrKXs9NtqjZ5btPb1haz8HnTzIAKcV6ByKZMtzl31p9vtv8xgQm2oGhNxJQ+ZLPqYGQBg+AwQCV\nqwJNsIyzEEs5NApoywZ7gq1KZJw2vK5lcd6HezKPksHxROuwVJbnbHF+xqd09POcYxILezoXyEUU\n8dlVWFXZqyodcva2kHfmnIN2j4e+9p+sN41e2GrKct4Ln+SZUCrzb/MbYP85OXQcULcyBeYXwP/1\nLeDfP8demyqz9PgHZJdmGYO5MAOef0HK+EuWBXPwOY9ekCyXzc/3tzgmmimzHOosvvs97slnyTbD\nXb7j+MI4m20hFnUFPxx4XDubtQQjqYFJaBk4cE3mVwPFLOG1lWyRCKkp9Di/3S0DAUnFSazUOX4a\nUCh8RytU109EM1HY4bMbrqHutmF/qgh06JvgeLhnnG5PSt21Jn8/u2Qms94DUp/7Iw6ZHVU9uXDD\nYGb3869j8KUPnbIP9MeyLIT/vQFUA5zEWouMslqTm+DiBEAGdPvisF3x36oT098HnCYoCDIEYFvI\nNhwGOwLSOeAIyNe95IHnrbhhkIm6d5MHy45Q1h3nmWyFLPDtQxqF0Kc6crMrDlPHbJh6C0XvytVE\nDgUBzaJM/TM9DFo9RvDlCjeDbXPDPRkDQ8ERdUcmWogkLb2a0HnQZr5ZThxLFBh8QprQMAPCXOvx\nUNBD37J5mPgb4PwdI1mgAoDDfWIuLIsbJ/RNSSYJmb4HaIzjGNg7NlnLqhiYm1MhKEipORQHc3xN\nhqQDltaaPabLlSmoZQntXJCmwDQAyhZQy2nw6x0aLU80e5wGGx5rNNzsGKkDzQwtbjnG81sB6XZZ\ngq1WxTEZm3JVWSjtWprI5L7NDudzOTalL3fFg/VsCXzyI7Ie1iikGQKPTm53xHHVfofaiHqz4v0U\nUK8Ng22bLN+dXRQNhVdT/j6VMmS9JSBjyST6Gzo22ht1LUxFLU9o1gFA0cRYdb00Ik1j4HbKXqGq\nTdYQFl1nJGVJMdibNY1mGHJ/qLOlfQ619KZ7oyqlj0abzzC95juNDpghnVwZnBlsYHltnKL5NYpe\nnp09EmosCJFEsmyrKd9xJJkwT4D4oWe6UdglccCqDKqsFEjEaqaB6dagWnGK5Qk2LPfUW0Be5ve2\nD0wptz7i9eZnKPottgf8rrdgUOa5nNutIx7KaWpKo+pgxZJ5RC4O9oh7pC44oiRhRr9cB+DwMJud\ncz01u4AtmbZkw4y24sQ0K6JdPS4fi4yHXLfdp7MRbGgDNsI+rrXo7F9fAvXqM88ipcLcYrbv9ozv\nsf8cisbawwPe9/xtzv3WkXEc80wIOI5AASr8TrkqRJw6iub1gUe7o0xdV8rdmulNQgNc1zWe59yv\nuQ3UhkC24fygBMzODMs+CuTcEQ3A6RXXsmXToRvsmmx7SwKzKDCZ8Mv3hJxSN5CENOH45hnXNiA4\nZnGEfzQGXt7m/ZTEpHg5RzJ3rb5g2sQhhWAGo5DnR3ckLZ0SPqc6tHqehh4DFiW9pCkwugNYVSCe\nA+U2sLgQmIZnggqA+zzw2a3EqgKIAH9mGtWXBKN2dQt0qgzcFDLS3QLyEmDFJDI1OoAlkAVtXK/t\nt2yH7ze9QtEJRds0Veti6xTS8t996JR94D+WZSH5DRqZ7/0t8PLPcJOuF9wgJUmfVoV2r5vYW/Eg\n6QjNPokIZrYswGrSKPZfBpAC2ZgGBZZQ5meGOHA9IcbKzkiw3OpK37aOkTe4eJdZiukNsxNxALwz\nYxKtbwH9ITeJ7wOjHR6ukytgErBlSqtjMGCa8Qk84PocGAwFWLkEJkuCystV4PQp0BWdIWXNzALg\nFdFgGt/yQAKkhUpAUUdlbClOJHDJaBnsSuQsUXywQdGcerPiwVUXWrdd4ubuyaa0LG42xVldvCuZ\nnTZ1ZXYPBQt1wbYzrQEd0KYcpI/eo2p4ucoNp+KxWcIsTBTzWltHAAQArQeSprjnt8JgFPD4YE8M\nSUin8PwEODgi2cNb8R0GO5zj83eBp1Ngr0vgexwZ5+fkErizK5G4YKOWC+A2B17e46HpzrkeR/so\naN+qYafYOS3vpinXgpb/xmfCdJWDBRZT/I0WnfC6lFCePmKpdX9Pgg3JSCShAY/bFt9r544cRJEc\nYJL1zGHIAPNrA6guV4CnP6LzotT0NON1VH+rt8O50/LSRDBNKuFQb/HZ3QUdvvktDWepTAC+JyWb\n0CMOx7Lp6Dc6kj0psT+n7XAvarbl9ozvPzpg1Gw7/J2KHluCSWm2qGlkAQWLVllup98hycOqMhGe\nxnScUgGZK35PA6GbU5G3SYysh+710Beh4jEPM80iOg7fV8dnNeaYqeyBZlHnIhERbjiGmxVw/Kqw\n9+rMIC5u+Ty+OLjlikgSNIwkxXoumSIpzf39d4CP3TfdP7wVcPgi19/tU46HaknVWyCjPAPcCZ1y\nJWhcn0jQVGfm6e5Lz7S3EexgRQKUJJKMo2BqM6lQ5DmFQ49eMhhKWPy7ldNZQs5gM/TlmWNgMeV/\n67pSVp27MBqS/S0GP+qExBH3nWbBVFC21SWrcnRgMHWNjnEUtHUZLBQCvSpYHQlUJo6MFIZl8/3V\nAdam2rbDcRjuGfkIdW6zFHjyGHjuvpARhDjhzqUkJ87NULJAscf1sbxlwFESCIgyu1t9SuVkCX+v\nIrlpKpiymFnDwR7Hqdow2SgtGa9nFFzNUjrGgz2BE0igpASqukjyqG26OZWqwEYaqcvYZUI8UkH3\npmBpQ48lYrsK5IJFhAXYTSBeyny0hfyxpD168Aneby2ZfE0SlCS7VmsYfO7tU54HW0cCJxC8YvWX\nP8SUfeA/lmUh/h9Zp1Z8huJC1kKTzlJuCt+l9pb2GhvuS+1fIqNKDSgPAefYAaIU2QRssxQAqSt4\nDymNZSnxB42yGLMcuH4M+AlQr3Bh1iXlG/nAzAX6TTEMGbC7y4V1fQ20RCDR9YE79wzr5uxtHora\nszJLBeMhxILZNQAHODjmolRF+UrN4EiSmLo5UcBDs9FGIaKZxtRo6nZpANOExsbfGHanRs4zyTA0\nlU2VchOGvgHqwjLMrN6WZE2EMXZxDvSl3GI7xmlW3RsFsG6EEDA5p5M62KZQ7d6RlGQFG6aRZr0l\nhA5lYWX8m7dC0X3BsqSB/JosV1Vd1/5s6zkduVKZWbfRoSkJKrNLhTu7QzmEZLxrgmOcXPIALJd5\n8Edgdko1gGbXnEst5ToO8O4Z0HeMgncUGudMG22PDgSXmNF5rDRQtGLS3nW1Bj8/uQW2dkzZcTlm\nRqJc5QGveBqA+6HaMHiTettkGrRk67tSqguMdIr2KbQdAQdbsl6u+N6jAxQ6RbD4nOpkTK/4O5V1\n8Td00LfvcJ61AXSlxkM88CQrKCy9/g4dquVY9OMqwGbKe1TrwGYuLNcGDzF/ZjTpKjV+78mbFOLU\nvZ8mwlpdk9mlbZFUNmJ2zfdu9w1RQ7Fvmeh8DfZEM+3akFO05VC7z71SrgKwgWAtzLG6iFqK86TM\n1zQhg7beZMCxfYfvEwpbu9lhufveqyLvccs9Ve/y0A4kmKo1hblX53WvT1jiUVV5JZM4FcCqAOdv\nCpnjgDYF4szHocF5bR1yj6xmBrfjznhPLRVq+bFcBWp9wW9OhQnqsyTd6tJxVvkKFdzVNV0u0/lU\nIdGi4bnFedEet6FnhLEzcdIaXe5dzX61unTSFiKVU6lz3ssV2tDpBcdC2fKAlGdrxlECDKvQKnGf\n2wCd1oXAYiSrm4R8t1aX4x1snsmggXtLiSidAZ9XiRzalcBboRA9V0Ff1Tyb38o9I64RpyRscrFx\nyKVtXx1Y3XKPaZstJSDdnFNEGDntTpowcM8swF9wXdVHQOoBswvBS6eiHNBhMK+EAC2z97YFDuKz\nYuQ4BntcEUxxo42ig06wMYxw1QuMAr5re4vjvLkBzt8DvJBC5WlK+6s4vVKF1Z3NypTXbcFXBy7f\nSftmqsJC6Rdfx/7/8aFT9oH+WJaF9HMCgBxLObJMnIGK/mUpF6ZTEdajZJ0m5zR6tYb8LQdKD2wi\n4oOlFPOF/uQvgJs1oico+vWVJELVxuLemtGv3QRgG2A2AMAFHn2bC6TVF2p/ZkDV9TY3pFNCIero\nr1nWarQMm7BUMfTt9ZyaZJFPLFqpwsxKf4fPNL/lM20fSQq6IsDVldT718B//gHw8oGIfkpavN6k\ncTx7x1D1y1UaI+Q0XqNDOqzrGx4alTYQrVhSW06Ja3AcRjMK6g19RlS1OtlPTlnKFeJc3Z7Jpuzz\nb6HHEufuHdFCCuiYaWPqgplU5hhtVhTFHQpo/+Yp7xP61MHqbzNFfyjYDi1rquPcHkpLE3kPADh+\nTWRGIjkUu8bJu3rM5+7vCFZInC1/LZmVMox4akLjM78ybMhmj3P29Ifsr+mtUbQwsWy+r5a21ZCr\n1pHnGoNtCV5Pm/juPcex0zKTt+Zn1BFLYr7v5WOOCWCA/+s5/1ubdduWrLUQeO55ZuYizzgaF4+M\n7MydVwG7BSRz4NF3ULRPCT1DVFEj7ZTNHg42RldJ/1tLJ1EoYOouUG5QLkCbEitQudNHoXMVR5zj\n+z/N9RkuxA4EwH/5D8CD1/jOtR5ZeaupYR9vBGaggP+6sOT0cEHO7JBqu60E77dzD7DqADzjCJXq\nwHrCdXfwvCHrNLeBxAOu30MhZjq7oXPTlINcJWze+Q4xerkc/mo7tC+lSj4025yPqyeStatwDKaX\nYtMcg0NUoH1/x3SDaHa4LhRD5jQAVIBsDTz5vtFBe/IGoRmJZD22DlG0JtO+qJ4rDllDJDqeycYk\nkSmJK37Jd4Up73JOuyM++3JiNNcGe0bbzHNNj9urJwyUj19DIVy9mhCflCYMRF78aaAxYNB+/jbx\nW4pJTGNeS+Ec2hmhItCJPJOSu2vA77DpMCA1WKrQN+V5W8qoTg2wJKBXxqJWC87foa1odBiMqLzJ\nSBnaYpvWc2ZsG21mS2siRxJIFnX3Lu3g7FZwwJkRgG31Deknlszp6bskKeUJqxGDXRRMUm1LdP6I\n49AdMrBZCjZZ9TWThH+za8xq+ivpFVzncx88EKhMhWtoLczgcoV7fjFmORMOMD0BBoe8lnsluo17\nDDByyVLfPJVMsmVwrIppVYdeYQk7xxxnf8MqjQbSNWGzZimQPnwd3f/9Q6fsA/2xLAunH+Om7A6f\nyRQJMFm99PXcRGQa6Sr+KZOMUJ4DjXsABgBWgPcOcRdBBNQHQLAC1hcCugWdCGVNNdo8zKY3NPr9\nbcMCyjNTCml2gKtzIIuo99USDEalapiiNcmo5RkNYOoAd+5KJkmwFFFgDMFwH4DFvy21Xi8AVc1m\nabaj1uRBoobRd/mdakNozcJ46QqdfS5OkOUYAHWW8V0rNW5Cy6FRRWZkHGpNXlO1spZTjpcXskyo\nMgrTSz6/RmOaGlfWV60l5bIEhbhqIXcCOUyF5l0TXSeNolVTTNu92CUeYIFkgppdjsH82txTBQqV\nFj65YAo8Cfksqrs0PuPnml0U3RVUjNESUDog2Smhy/tro4P1LMtMWXqqgq0ZzyRj2W2zpE6Qt2af\n0b1jjulmQeOq7VK0swByU2pT3R91ejyRJAhjtqnaPaa9feMt4GDIefNdFK1nktiwGVXMuFzlAbKc\nmqxZvcl59AOgVmX5+Vnx182S19q5Y8ZpPWOGtjcSAoBgEt2lKaXsHHN9RT6KXoR6YKoumTq+ykS8\nPuHhC4uHrdoBbbie5yYoSWPj6GjpVtmVKp+QhHQYlhN+9+SMGJhajQeN2hR1lDWrmKUsZdcqRk9u\nccugwCkbfJBqWFVqRitQ5Tj2niPfyFugaFq9FPzYYgFsJrQ1rZ7pPqGdLWZj4M4DAFLKDtcMAlXJ\nvlJ7pty4YpCAHKj3mV3yppz7Ztcoyg/3qYc4lEBES2i673W+tdF3qcx588XpqjUMA7HZ4bhodlYd\nZOAZwLljyCv+htdS5mqpQpujvVvznPauYGzW6UDlidHISyOgPeI8zMf8XE9wscWBLxkkJT2VKtJs\nvEK8oMov5RCcppRJewJPcG+BH74pLYiEBW4B8CKg2+Fc2LaR7ljPuB6aHb6H4ml1Ha3nKFo27dzh\nek0iBggtYWnenJrMuUpD9He4fqcXZrzWM+6TwOMct4Th7y45dluHDDA0S9a/wwAjWALVEtfN7ak4\n1xWgs8NxGJ/wWo0DABUgueLzDA45n/NLPouK7fb3aJcE04+aSG5Ea3Fqqyydq/zRcmpweSt5T00S\neFKxaPcECycwlemE8J5KXZz0c2LK7v+fHzplH+iPZVm4/TnW3e0KI2llVyYRF1B3i6B/jSYBbqrn\nP06w/b2PctNkGdDeA9AEMBNVdEmHWyVzqL7zI+DuEXE1Z08pnOm7KFp+KFXZstncOC+TEp7GwNUF\nsWQj0QIr2iWlRofFksOz26OOmeLEtDH1ag7MM+DeDgohURXoK0nWKM8YBe4cm8O1UNdPhHUoqXl3\nwYNv+9CUfqNAyk2g4VkLW6reknZLM+Dqmr0tGy1uhuunnAdvDXzvCXBYo+SFylvkgGluLhFhJs6W\nUzbsGwWXX16xzKsOpeIRNEuInP+vWjdLAXtr3z2NTDUDoM2AW31TWk4S3ncxZokojqW5dUhDror6\n4YaZNC0/xiHHvi5g882SRkjxc8N9zqn2iDz5Aefi+qm0C2qY6K3aYEYy9I2To2B5b8010R7QSQ0D\nFM3MFcNk2+ZQrVQNS/XxGyQ/2CXT5PvdNfBck05LU8gliv/aPoLRWfI4l6uZAdNaUj6qS3lCI1E9\nBPKc744S4M25137wDnDQFjJEnXtGyRWAYVbGIY1uLLpIjhz4ecbDszs04pfVBlBqAbFLAkmzw3Fx\nl4ZB6K1NhjnwBOclWJzbUzpqTgnIYjLFSlUe2Os516kK5bZ7gCVkl3RlxjvccB3omAQb4Oo9A1JW\nsdg85zsAEkR1uObLUtqPA86PCvLGkQkuppfMlGkwtJpLmXbFex2/wixSmqCQTVDGXCaZ0yTmnJQE\nAK+tsYKNEJx26VSpLluS8LudgQnuYmFHugtmduodFK2DlO2tfRqtCp0/rUgo+aBUolOjz+evaS8n\n58BqCdy5b2QOgg3w1n9mhm5xy+8fvyJZ4syUVDcrZou07Fuu8h0nl/z/3WM6GnHATJTar+kVCkFq\nbY2mHTRsm1gqpwNkPjA5k1JyAvyH/xs4HgK+Q8FuLYEGGzrGcQicvkNHOAfXRp6bKkfki4RIU2xI\nZPZ7mjDrvHPXdChRkpfKHm2WHNfdY5YIl9fA3/9H4GMf51hplxXVzww2nLN6k2Nt2YYJq7CNzhCF\njNA7/8VgavefN0Fr6DGgHl8Cxy8beI234nsePjBMcA1ap5d8lyzl+9dazFxnoWHEblaEEvR2RH5I\nZIMUa6v6lp4Euhq0TS5o3wc7zwSjsTmr+lsAyrRBaWLgFOsFYP3869j7yodO2Qf6Y1kWNr9mvGHA\nRNIqwFmuEkQ+3DWg98UtZQD0p9xgFFSqAtrmCBYZVbZN6rMtNfkkNjporT4AZSRJ1GdZ3BAV0YRZ\nzbh46w0uRN/lJp4tgKrDQ8O2yPBpNk19vFKjIS49g2PQprDeit9broDtbV4/Cmk0q8LWu54Dh1ti\nXCvCFrW4qaaCEVN5h5JEo+MpcHDITb2cCisu4GKvS9amJO+oOAXNMk5vKRkQ+gZzogZbW2pMr6kC\nv3eHjnBZMkoavQNiuCR7tLg171OTDGelYUqOmoXSMtxywrGIQwHB1kUKJDX4idtTfrbVM5F+4KOg\n89//mMmMqITGs8Ddqty/KVgNfwN4KXCwbyRGJldk1emBHSteTCQdNMOqBmMgIPXlRJire3RYdM60\nwbQK1EYW56nW5O/mLrAzkiyhRM62TYOsRjj0ARUp7W+ZTNDkQjKFE86bii9HAedL2V6bhax3SADh\nC35O8DFOmaVE7Q+owruLsUjODDgGFSmFxyE/n9vEY6nGYE32iWbD2n0+n9MiQy+TzEMgrEzkcriU\n6Nh4Lq+tfTXdheyhyJTW1nOuuapqdtXFqUkFiydYOmXI9XdQaMyVK9K/NiQOa+vQYC0V0+Yt6JQ6\nJUqbVPsAHCCcEhu4nlPw9PCOwSYq7uhZBuP8BkU/1zxlYKCA5jwn7rI9BIIF5zHPUchZaEZ/PQfe\nfRsYdAzOcuMDB3dFjmJBx1odTBXt9NbMiDri1OcCXVhPmWXsbUtQ5Quurmoyi0liVN6jkPPX7nPs\n1gsThKgoarlCp82WjH8k85dnUrYSQLkGQSWRV1EVfhVnvblhr8X2wKxD5MwaV5useOQpEG/o0Kt8\nxOU5s1ibhXF0K3X+rdRi5mh6LTAYwXyqhlhnKMGTK4QnKT8ruUwDjaWQYtSJTmKeSaUybUjoG7Yt\nLJa0y4Il9l06PN0tju/81mAiQ9/AQdwF1/PokGPprvj/vS0zf8oMtm1pVRQxm5hlLBdqeykLvGZ3\nKBUIqeKkmfxdAh61zYHPM87fAG/8J+CVnzGSK4sxHa+95wxj25Z1Hbi08zUhdtQbXFuq4aaOvXbL\nmF7x7Nzd5b6zBUPWE4zi+Y8EBpTzs+0+Hf44/H/Ye5Ney9LrSmyd9p7b9+++PjIiIyOTSbEVmaKK\nUoHlktXQlgwYrjTIAS0ImmjCATWxYUgWbYDyRDZIyQMBEgfSD5A00MhlgIJKNkgWzTaZmRGZES/i\n9e/dvj+9B2vv8wUh2UBZlYaFygckMuLGfaf5mv3tZq21Afczr6P9lfedsvf0x7IsrH5ZJvwFs7Bq\nLWMALItGwhEph/bAlPQsSyI8SzJld8BUQm0HROZOqTZpSU41XgLzDOkp8OwHLN/5dQACEoXozWAF\nREMpY3k0ArlkdhZT/r8jrK31HHj0BmDFjFCCqrBzMhq81YyGe+9FHoqOS+MRCYtPsRaVuhzckia2\nHS7ougBuZ0NmahQwXm0wmtEUvAKX461J51sWDwZ1lE7e4CG0Xpp2L9pOZbs27WgAHirhik5RLOyr\nuQCb60LVXonO2XpuSgblOo1lLrpS0dYAeuOt6e82G3HTB22QLRYDycy07NmuBFTeEOxVCcg3jGZv\nzxh9t3dkU6/MOF+8K7Ryj5mU1uA5rbWYzzwfMaIuMFtg6bre4rhuRBKg/Nz8LEYodLa0N2S9zbWp\n+IlKXbS5ahyzOBLJiQkZRbt3mQGajcVhlMMDEFZcwOuGW3FqbFG2Tk3j7M2CxrHWlFZQ36Vsxr0P\nCP7Clf6cLwp2SYDFtQYN+FQOhI5g1BxhmA0veYhXBgBCZq1th9ia7cwAeVXvaD4Gjl4FILpCGpVX\nW4DXBJBxp3rbPAAAIABJREFU7yAAmRNrygZuVxzPzo4c/DmdTxXGnY+4rxSLdHtG3FZVDtTOHoqu\nDO0Br7Gccp0spxz7nSPZ0yuO+0a0zaI151Sd2Dhmhs/zzOFx9pCZC8c14s/KSGzvmLK6LQHJRkuW\ndXlPixIVkWSjNItz5wNGwub6GbPQFdGiml9KUGoZMk2aoGiPpAD8lWRGX/0090wiZeVU2H6NPj+P\nZ8Abfwd88J8BXosMufWY49De4fOfvUMR1FIPJAekACT7bbsc3+1apBJCkx21bO4XZTROrvlsvQOj\nJ9bsCOC7BCAhiSFcAbUe9+T1CR1XhTI0ugy8NTs5veHeavZpI7RXqO0aZmarJzhdKd/qupzcAC9+\nmKD2ZMksm8pYxJEhe5TqskYzkZRpiCPjgvJKMiabITAdGjvX6vO5VD+sKSXAq3eElFKSTNSCa+Dh\n28BHP8nPlzPTqkqlYrYro6i/kABDscibBa+tcJa7H+SY3ZyZUidAXGt3H0X/XO0ZPL3h+jh+BYXY\n9PSGZ4D2fS0FgFXjPG0nzKrtHMOIt4q8xsPvAB//FwB84O3/g+tZ2f7LqSGa+YFR6G/1ULSGU1Hk\n4YXJzm8WInFSFlthA1iSiLCc0V7WJHMWjcHel//t+07Ze/pjWRbyX6exXo5ZQ14vBL8lGIntiot4\nNacj4VZYL/dLEs16RlR278MAuh7gu8Byi+wiRy44H7sGJOCB5LsANsTOaCaj2TURUBqjaFobR6aU\nooreqxmKHmSKNUliPqc6lI5r1LsVqxJHkg0SNoweBJ4v1/MNA9EThtdKDtWgauQuVlMUgrKJMDXT\nRLRiJCLKEmGHNRh1LaamTNXcoXGMpSwZC2jXF3pyEtEAtg/599t3+dyKcQuq7Pk52DcYClU8bw94\n36sTjnX/SIDiFQO8vn6Gn2hyXaqY0of2CdRoErlo8UgWREubSSzszTUPbsuiU1Fo30x5wKtj9dZj\n4EgcHL/Md2n0GWWmsWEW5TmKxsra9sMPaFC2Kz5D71AO7FgII3Io1ho8JDTjYzscl0ZX2E2SQfA8\nrm+NeIsygWRb0vi5Mog46upkb9coJCU8D5hvgMNDFO1PSoFIVhwzQ7FdGOC2HqxpyndbC8YxqBlx\n4aVkubTsXWAQy4J/OmRWenEhyuUb4O1HwEsvGoxg/5DBTpIBTg5ML7lPy1XZE5FkcJuiK+ZJ+asB\nwAXyGIgEj+MHQLVNTGgO3m8+FmfKNyVDzUqs51Ie3khpLKetVzFPZRVrU+f1wmjaWTAMyHBt8Ilu\nlZkBW6Ra8rVk/BwAwjpOYo699jFdTvn5gUgmZOJkKw62VGWGHzalPEYXHJM0pp0LJGOznhtHcHxl\nemBq14KWZN8vnwHLEe1YSYhCe3e5xrcL4M0fAU2Rj+gd8sBUx1G7cWgro9YOY9hUSuzKcgUkmxab\nILIp11FG9ZvfArrHwJ37tCEqPbJdSlXB5u9oH1uvwfe/PhGSj837KD5yeG6kLxYjHup7dwko3y6Z\nDfPrQuAKAaQMPlXoud4V9ujSlDwV2uD5EuB9mGvy9ozPlGdsI7d7hzY2zwQikwtMQjLelRaDl3BD\npwPgnzXgvT4jrhSgzdu7CyMenvIzPzA6Zsoqj0PeU7NPWiGxbY5ltSlBg2QMlQmr7bAyqXCoWPlW\nMnmdgcm8T28l4PVN9i9NOOY7L4OZ4RsU7dfqHcCuAtuxQEz2+Z30GvjWt4GX9jnvVhXIlsBqLM6Y\n6KmpvM5cPm/vSfauQpu5nHAMtMS/mpnOAF6Jti77mdfh/zfvO2Xv6Y9lWYj+M5akRhdkISI3Dtlq\nzg119YSHe3sHhdjccmpYh5sljdeLvwJGyGNg/AbLK5ngs1yPmw4wZUrLEsBwYprFRhGKnlwnJ8BT\nAB+ro2DUKQB+PiaQv1qTjMSSvRSPhMbd3gG0gbXiTC7flb5scyCMKBVRle9b4EZ9dgLUy8Z4xxGK\nJuX9I35P2Vyafk5CZoRKZSMM6QlgX51Ope0r3kd7JeYZD3SlNd+eczPsHDB61EbqiQBu1fhYQNH7\n0bI4/kHNtJAaXjIStx3e5/Qh8ODjfF89UDq7vNZ2hYIdlMTGgRtd8l37R3KPBTMf7R1uZAXYz4co\nGpb39lGIoEYbYpo6u4a9dvOUh6kFHuQVwal09zmO5+/SuR2dSxPcGqO2OJSSZ8DDaC0lIEccwJqU\n/soVOl/jS0adD36a76Pz+DcPgf/4I4bCr47/fMT/SlViNbwSiv5+VyemyfDViWm4XG2i6AlbqnDe\nkogHXE1kIDTj0z80zmouTkEccu9VW9LNIDByBnnOe20F8N/qM2PQ3X2uPOSJBEbEwzPa0tCXymSH\nfvBnTZSfZzz4h2cSSfd5nc4eHdfBMa9pO8Q2ZYKb1MBiek1nolTmvDo+52t6y4NU3y3LODcH93lw\nI+Bc57JP3vmeyYSlKded4jU1Y7YSZuiTh8Br/xLMoGdkP2s2QztKdPa4BrLMlINLZYPZ0ZKhssrK\nQgifjYBH3xPB3BvisjoDoHUAWBUACZDOgHd/wLnLc2bxbJeH8MF9MaI22YnXT0WGZZ/rUNdMHDJ4\ntWwerDuHBGZnCSVJbIdzbtt8/8sTvmNnVyQelGEpe7R7gEKypbtPe/E88Ua7AZSrBnMFH0BsmMFa\nLmwN+MyX7zJQ7B1z7tOFYVkWbcwkG6u9j5cT0+8z2lCKpBRIABeJo9imUzG94e+tF1z7rQHfV7G6\nrs93UymYNOZaffQd4N5HOL/n7whxwzOZ8XLdOPm2kKlKVc63Fxi5lOtTISX0TSbfL7PbQSys1iwj\nRtr1RHxXYBdN0bJTFmmtbRxdldvZLI2Tq/i/ck2SC5YhqrmesCMtZk83C2LNbIfrplzlmAbPBQy5\nnD2bBcckaLL0CZ//phIZ8ZbEpc3csL9LHe6dZCKQDz0Spcw9uQVKJQNjUazt7JZZMl/2rl1ioDZ9\n6XW03xePfW9/LMtC8p/T4NbaRkxP1ddHVzQMKgMwOOYBksZcWJ7H8lUccjE0f9bjlzZjjP/XCcKZ\naU8yuRa2nOjDzEdGy2k1F4aYTzr0/rE5fGPBDyHntTwpZYRrYLgGag4bgZfKXLyNLhf2ROjI7T06\nG2kILGPAFRpwvWXEIxVfkWXi0IyBRoWHkUY5ja55pmqTzzq6lB6BitWQOr+CNds7zLjNhKmUiGMQ\niJNZKgG318xQxiGdwzQ2To/nCROzyfcfnvBgXi2oWZRbgvUr87PxBZ+hIYDPaMvDSbNpaQ5U5Lvh\nmu+hitp5xtKHVwLma2Z/SoGROVCGqgo39g64icO1YaXFkeknZztSCrlF0YfzeaJCvOW7uJ5Q0vOf\nbPe1lVKXjq1mV9Rx2Cw59nkmatQ+51SzOYFkYVYzMUiuacGiwFfVAJsOBXA8MKSGZtfgTB49BroV\n/o5m3IKKkalQEslyasoalkVHaR1TmV9LcV5AZfb9A94/2sqaqJrSdBRSMqQ9YDZLcTVJzHctlWn0\nJ9c8aFTPS3E1fsB32jkyUf92ZRw21UtT+QzNOvZeADJLMJQzwM2ZQZ/csBzr1wBkdOzikE5BWTI0\nlrKHPROVp4kBgw8vULSoiaQcV2vQ4dfMluIG1ZkIqtzDsyHHrd4GKjtci/lGDqAeURHP3uR3Du/z\nEFH5mumNaBUKLlA7W+zeEe2nLe+bJlyTlQb3SbVhWKtRzMy2gu7DiPeNlsDNY9qGcMPA0vVFoFYI\nAlnCvbwYiwRK2zCs1SGo7bLkuZ7TdqlAqrJJmz3BC8ra364FjC4YIkugJZMrAx3wSszEb1dc97Nb\nI5niyP7RTI4lbOHuLgPE1YzrS51bbb1TKgsEYWFaFI2vjK3RDh6uJ1ADuUd337Ahx5dGGqJUoVM5\nOOL7XZ0Yx7lck1ZydcpyZAAQ8azSqkhQEaKVbYKrnSPO3VZJPAsGPjtHKIRgtfoThUJEkJKj2i3F\nQmofToXrqOOnmpd793n+jU+53kcXnOtSwDMvzQHHEqZ0GQXWrLELWGUgWQB5xPtPrqVdmGSftX2V\n4sJqLdoC7XepOobtASEOK5Uc8vln16cDtxlTqqPa5PW11ZPaE8/nGKuzqxi/6TXvUWmILuISSD/5\nOnb+p/edsvf05/mG5NHGsIs8z2gyuZ4BkR+9yvRoHgGXb7I/GSxzKJX/WRV44ed4Io0eCTgC9Ii2\ncwEr5UCoNQ0AM35FsxWtPcGH5MD0RDJOFd7HtomTSNY0MtraJpHITIVJw7UBrKdiADyR+rh+xuup\njo+C0ZPEYORyifZVSNb1uSFsh1kbxXnoPVUCQ8s5t2cG8KnZrWaXC3znUEoBE+Ctb9HglmscKr9k\nsAa2YMbqXW5kZdP9+JvU3ak2DHBdU98AnYR6V4xpzPtGkZQWRG4iz5g5271DI3J7xmjelgM5T3lY\nxpGJvP0SxYO7+zQEyuYcX4rExAy4GgMPHoiztmHEevDAlP60n5vj8vn27pkMlmopbdbPlQDkgJ7c\n8KC5eUanL0sFDyiU+EZX9LyEjZjDZG8WY2bMqk1xGIWUEYdGOsAvGSZpnvE973xQovmI41qu01AN\nXkDRv+72nFmfRgdFSxlLMslXJ/xeeyBGti4twvSz0ADL81xKV8KQ0ibdkxuuj3qb1w2XDEhUDNnz\nBcs1k3mSMspSgqtyDXjzm8K+q9JxVd0wZfBOb8gi9APg6Y+ZAfJLhvq/noumV4N2QDNrja6w82T+\ntN1NZ1ccTFmfqoyuWd0kAv7u74CP/JTJcviSffOkNO7KAba8Bb7/b8haA4gLtR06Y9cn4uQ3OEZ+\niUFNqUR7Nh9xT+hYRFvalHJdynb+c057TEdaQfpK4sgli6c4z0yck2qLh/Hj79EGqtbY7Rn/XqnT\n1Kl2m8rvRCGfubtnbMvlCZ+n0eF3FQ/16AnwiU/w2sFzoPc4EpybMOK0Mfv0BgVxSPUSAd5TnTvN\nLgbiiOSZKe0vxpzbzZJjOR/zuosRbYE62yqNpKVyZSRaNsfq7JGRnZjdciwfvgl85JO8R7Rhpqwu\npJc4ZMam3ec+PXyJQWi0NNARZahfPhHR1amR2AlXLFO2uqbTSCJ4QN+nPSmJ2O/okllPDVJth3Zx\nNmQAlQnWM6hSbjPPOU6qj3b/oxJMNIl7Szd0kFLB+37jDeBnjviM9RYKoVZtWq+4O8DIUNg2g4jZ\nDd9FM9u1JrN+2vIpEmd3MeH8tOXszVPg8XeBex+WDLc459UmEPRZylwvOAaeyMZcndAmALTH0xtT\n4qy1uI8WItmjorkA0PtXr6P6u+87Ze/pj0pipLE4NDBpWS1HHLyIwvFSJtzhAx4S1yeGaWY7wM4/\nd9ggc5UB9hbIAmCbIY9iWH4GzDaUOnCAeAzcnKDoERnUgWhFB6ZSp2GttCS7tObfHZdZpNWC11CP\nP6iwHLFzJEYwp5MzvuSB0h0QmzAbomj3MR/ymcs1KQHFBlA7uMN7zW4NDsayubG1iXkU8t0n1zTo\nQQW4eEID0hCnCEDRjiNLDN5Mxytcm0xcEtHY9w5MJOv63KDVhpG2SBKW9nwxNPUOn8WCwX109gHY\nKPojnj3k/LYGkkGaSyRVI97l6qmoS0u2qrUjujUx8PRtwLVNuVYbDQdVg7VSWYXhGQph06XoAykT\nVH9vMeF3b89FiT7l7yg5QzN42j9TJUmCqhA3FpyjTEpfjsMxWM6EqSdaTRvBvxQ4roQO5VLIKyqq\nqDiyxVgwRbIe48hkcis1gwNTNqmjZSeHY5VlInwrjnm0lVLvgOspaBEHdfWE7+h6P0lUqLf5Plku\n7XXATLWnOEd5L80oAYaJ2ujx3ishTTS6nEPV+FNsVFUwd6MLI8pbrkk50jOZzHDDAyLL+W6q+r2a\nCW6yzLWVZwbXqWVL3Y+K41IMj2ZZLSHFaDcJZaSevCFyBcJcni6AsrDGqhIoxVtx6h1jJ1SOwq8T\nn3j7jO/bHHA850MUPSLjUKAHgjWsd4RVHHOugxoP/PEI6O+iEKHWDJC2LivXiNfLZI3oXlzNDHvw\n6infZbEAfMeU3pOIWcx6W0rcvlnLiynfs1Th/jm/oqRPq2+CNcsyjO/LCyCwOU+qw6Zt4wpRZggs\n4hSIUzK3IdmboMr3v3nGNeRISbHZN5IQgcghVUTaZDUzmmRryWortrHalKCwJ451QibtZsnr2PJ7\ngbBpMyFAaJupPBPdSJj+u0WgMTPBuWXxu4uxcUz9gPMYi02KxV6qSOrtKde+6nGpLVKNToC2XDNk\noVSGopAZzmaPAVilxT27ntAhsx1h0qYMSnQ9DO4Y8pd2OJlc8z4qUaSan6MLwYEG/H2tCLSExLCV\ncVYhaFuYtlkquoSewVWXyjCN2RPam6MHvN5qJs/5FHj1E0Bms2drkgCzJfU8leF+dcL90d3nfo82\nQPrTr6PyH6JT9hu/8Rv467/+a+zs7OCHP/whAOD3fu/38Cd/8ifo9/sAgK985Sv4lV/5FQDA7//+\n7+PrX/86HMfB1772NfziL/4iAOA73/kOfv3Xfx3b7Raf/exn8dWvfvUffLntrwI//Ddc6Pt3UTSo\nbXS56HXSg5qJhlwpWXolGnOnzDRpeQDqlM0BxCQEdI4BeGQqLSfcTDmEur0RvIsA0CdTtvLZu2PK\nkYsRF9n1LdAoC05EHAJYBgCrwMxqg1He+JKlmN1D2QBVRhVaphxfiUMgmKtSRcgGLp9NQbG7L/B3\n1jPgZAwMSqJRtZAsltDJFxOCcysVU7ZQds3ViZTv5ADWTTy75fg6PuUBCkVrj5suqJpecE9+QNyH\n/vgl0xJoMaPjlCZGJ0tbt3QG/P7ZO0b3LJH0eFDlhoy3vF8UEn/hlyR1n8ucCwX/ne8Diy3wsU/R\nSVhO+PxriWphAf19rhXVENNIEeBBoixQPwB+9Aj40Ctki3kij6FlFRUmbfZ4sCpAdnLDa2/XzMpU\nanReSmVJ5VsoRHpV+0slTeJQ8CSClVCWp0o7fPNN4MOHBmeYygHlugbwatlcR9GWh5Xr8vraoiSJ\nmY1tdjlG0VYo8T4PjHDDz10hz6wFhL17V5y7nNH78JKOjx50nb3nRCLnzFppK6mSHJjrETMvqwnn\nDxazMo0BWYpP32APPIDjVwp47fEV11x7h/CBeM2ACxYP7NUG+PCngNO3qABvWSYJrs5XLk7pYmra\nkSnp4Hn5Et371SbXgeOhEAtWAsVMsjMKVG7voGjrZYvo7FLgFfUWr9vsAV6Vh+Wf/W/AZw45T9oB\n4vgVyYyHKCRWVEi1KtnGxRiFhESlbjA+aUIslyMluc2CmZGbZ7zv8cu83pvf4n2QG6Znlpps2uyW\n464ZTq+EAkvleEI6KpmMlmr65akp32rXiFZfDmhXNCCFlBFtWfrevctsYXvXwBj8gBm5NOUhvnNM\nZm27T0cq2XLdabmvCIYku7aWLJ62NQsqKMR6FYOmzcCbIjGzWXCda8Yvz4TdnHNuazL+qt21XtKJ\nCKr83ZtTrvFqHwUjcztB0ad0OeE7KnxAhZonN0ZrzfNFImLCOVX5EdvmWrt8TOejWpdsZmLW23ph\nyv07R5LNFtKIrqW6iA2Mn/EZqk2O6+GL0ulDsvUAcD0HXn5RMKxjPkupIjgwR+yVy7lXQeHt2oi+\nbiVo3a6Bw4/xvtkKyCWgVPmMOx8QHK9g2nRvqsyUstdtx+Bp+4eGwe+6UkETeIXtAo3/9HU0/vv/\nAJ2yv/3bv0WtVsMXvvCFwin78pe/jHq9ji996Us/8d0f//jH+PznP49vf/vbOD8/xy/8wi/g0aNH\nsCwLr732Gv7oj/4Ir732Gj772c/ii1/8In75l3/5773c9c+gEFfdrgWLEKKgRyt7rrULAg8F3zIf\nCeZCnIN4C1T3AbsHYAUkI6aOq2V+NxMmn0b/ec5DYT7mAtb+fWFEx8Z2uYnVgGj/vDTlRlwvDC4h\n2nLRqbbQROrh6xColQ1Ox7IEG1bi/bXfooI1b8dAxQXGYzKE9+9zg4+HzLa5YnxmIyCygHaNWkft\nnik52h6KJse3pzTmOr6LMQ1QeyAAZMG+JcI+rIsWmEbjyymwXrPROoCC4VMKpLwqG3o24thOb41E\nhzp0uiG3ckhqmSeU7Exrx9DH9bCqNYE0M6B51ZzS0ohmh3LwoLl4LKKfOce1Jpi7yyeG8VZrSlkj\nphF84xx4qcOsXiqSK0EFWC3FSRSmU3vHlB6U+VapmxLcasp11uoJnq5D467MytGVCCWuSCIYHEpX\ngLE5OGa3gisSbEkuh6rqmDV6fL48F3mRFcdsvZQ+sHsGh6ndE8KV2T9pbBi8Kl6bRMzkaT9SBVO3\nBTM1uuQe6O7yOsMLrgHPN+Vzy0bRiD2HyXQ4AtjdbIBXfhpw2wBiZiUcAUNvxHmvqaO3keyklKUn\nsueCGrPiaWjwkI7HrLZiLPOc6uNZzB62eS5s3jWDk/bABENNAYbPbo02oZaRVPpApXe0T6nrSQY0\nkVZAu2bNrCYCJBfmtVvieKt0yuiSdiKOxGY852TXeiiEjDeKPZQxzFIe9nBYSou2UkYTwLx2m9AS\nYFA1pSwvYFB4e8bAodnjO2rHEMDgdLU/peKntmsUzes1QFP5GxVt1n1q25Kl2hpSim3zeuqAAZLB\njGij9LrRVuQdTjm+3T0Sp1yfc317ZsgkaWKym4sxcHUN2Alw52UUzbazlAF0pQUgM3i5osXWWHqR\n1jmPs1sULa9KZQZiE5Fe2X0RQAAkQjSptgSKMORaV6B9LDa9t09H2gIzlNppQUvQatu6eybjrw6n\nksqmQyGSlfm+9Y44PyuDFVbow0qIEnHKs6rSEMdeCGCVOlUKtBuCOuKaLfZK3M+dXRSaoNMx0N0x\nlYbWrkBYpkbSaDnmmtNSo2oRjq/EJm0AT/CBLSG6TW+k6iT79vaUz9rskeDi2rSNQVkgESUUGqHL\nCYpuNI0e2Gbpn2BDcvcfe8Of//mfx8nJyd/7/B96iL/6q7/C5z73OXiehxdeeAH379/HN7/5Tdy5\ncweLxQKvvfYaAOALX/gC/vIv//LvOWUADU8oNHTN5pw95IZSwcqbZ1QR3rvHheRXAYwMC2095+TZ\nXQAtF3ByOOsM9a4FlC00GxkmJzmafRpC7RWY50DnCDhOTUmnVBEtsTmjmukNsP8AbCy8NAuzVKYh\nzzM5iFdcSKqZNh8Bx/cED5KLkRepivWSKePeAZ2PVpcH1fkMOBiYcpjrAanH7F2zy79bDp0i7XHR\n2ec1b8+ok3b2ELj/MdGMKUvvRYeHyZsj4NgBtpJSrjT4fpuVKfkoYy8KhbFn08CVyjxgFKNjWUBs\nA9uR0adp9QhoT0Kyk7TUpSB7BetmwozarABrSObqzj4PYj8QIxSiaDaf59zEmllYz2nEFM/W7Ak7\nDBL1im7R/j2OgWL+VNTUdYEPHvK5bYsA8iRk+Vfb3iwEYzUbmVJDGkvmQzAOpbKoX79gcGarGQBL\n3s1iFmA9N+DuoMJsYKNjMHNVybbUa6bsrGUSlZIAeHCMLoxw7tNT4ENtzseb/xZ48UPieHSAqGrK\nR0pQibbMQNkena3+IY27Uuz9MrOelbpkMa7o8PoljstmRexJvSOHhpT1QsHhqRr5Zsk1+fJHRfPJ\n4n9pSGfKFvykJ1R4Fcbs7APwgZIjcgMCBi7VAfSAcs7rrM4kE+owezu+AN56A3jlQ8DOC8BQJFcq\nNeDRDySrEXGfVWoo+mwuTo0O1pMfM8u0mTOQ0XJttAGuxLnxJEudbDg2gCn3qUJ5uDIdCcoN0Z3b\nAM6Gz2aVge0NnQMLdOiv3+EeOXmDuDWd7/mQYz65ZobRrwCpSH409F1W0jYs55xUBA9brjFboZAH\nS0qL2kXD802W69lbRkOve8jPo6XZ9+uFlLnOWdJqD+gcpxF/X3v0+mXg9pKY294+r7MW5nKlbnBg\nje5z6vw+dfsKJ9+lrTt4YDJRT3/Ma9davM6DD0iGp8as6vm7tK33PoJCxLlcFeKGQ1vf2hHmrAR1\nnV0RPa0xO7tZ0UF1XJbrSolgHsV52665LhKxH8kWePf7hqGqmM72wEBOsowYt2bXlICT2GDK1ElK\nImaygzLtQqmCou9suOY7XJ8AjR3ak1YfSKUMqjpxz94Slq6Qapp97sHNgmNdqfO6GwnmXniVz/zm\nd4C7r7BHca0JuHUgXrAhutqFify50qDTObmWsmmfz+aXhInu0RGcDgVfK6XMxUSqBQvTw3c5Bbp9\nXqtcMT1alzM6p62eCbQdh05hRfVE/4n9/KOdsv+7nz/8wz/En/3Zn+ETn/gE/uAP/gCtVgsXFxf4\n1Kc+VXzn8PAQ5+fn8DwPh4eHxecHBwc4Pz//B6/7O98zZYN/MQA+LtHZ9Ib/Xqlzg6o4noqhdg+J\nqVAWSLkEIAVPHGcDqwokjgs3cJDHQOfnUuAyRjoDWoeA0waQAdkGQA5UfGBxBbhVIAyBxh0ADQv9\ngxzY8EBxa4C1AtodOmjRluxKLwCakTngABrtyTVLB35gKPzXT/n8x6/Q8fFtvq+bAvf2zEZoCROw\nLVmqSosbt9KgoUoTY1wdEW88fQvYucP7+QHH5umbPICbXeBjH+G1qg06T65H7MG9j/Fgmg9F2qEE\nxCspZ7oGe9YZSJS2kqbskm20hJkYb3lQ13pAfZ/juxlzLBSUW2/z/dMY8OqA3QYQAetzMtccj9cp\ng4dxtjVO0MVjcap8FO19ynVDVV9OWap1HODoFT5LvAEmKxqC1g4KBfFqA0X/RG0i/sKrPOyvnrCs\nunOHzmu4EeZQaphI9Q7XTWeP8zS5ptHpH9Cw7N9Fof3kBUadPNrSOdMMqy9Yt9mQlPjVgmDx1oBz\n2D+QKNwGdu8DcDimN8+Aj3/S4B8/+Ck6EJZFw6ktt4KKYbIpntJ2BNy+BS6vgfrMlKMrdeqFaSYw\nKPOdr05QyIhUG8yMDc/4TqUKiu4HkxsUzbfDtWiK7QOWx2tevEsnuncAlLtAKQVWkoFAFYAN/Pi7\nwKG77kHwAAAgAElEQVTg+poDACFLptuNkDiELRqGdJBsB7j/Ip/FtukkJzGzRR//lwQyL64MYH01\n417sHxrMoZIRivJQxWTuWwPeu9bhAR4KFEIzsNobU3XzGj3JiAguM02EUTYi0892ub+i0GCCRpdc\nS4BghmYMKpQp7PgAxOHV/ouAIQfFIQOM7cq0Mdo5EudUZCguHstBKo40LCkxDpixTxJxmgVTupqL\n6rpDbO9izHm1wBZGnjA9Vf0+z+kkqVO5WRjSjZK1qk2Of7jhu7lVkarIeTg3esSWbsTOJDGdyzyn\nEry1NKzVlWBWd45ZYtWxiYUco9l1x6PTtZoyQ3bwEsdTu5WkG9oQu8QzZXJJW7iYCtGrRgbmciR7\n/Jj3OXrJYCE1S1ium2ypbZNYpfitNBXsbUB7cv0UePsh8NJ9zuFmZVjMFz+i86oO3v2PCY5tiqIn\nMSRLt1kBd3+KEBTIPotlL7Z3KDbrlwUTOTN4XNuhFIu2lLs+5Zh390x51Zb9rmXN7h5LzC+8Ilmy\na55L0Qbwcsn8BkJyOeccKWlA8YtJbCSjXB949Ah48xFw94BrUTPMBfNyJbplKStI/1//fOMb38A3\nvvGN/9e//544Zb/1W7+F3/3d3wUA/M7v/A5++7d/G3/6p3/67+Xa//VdMVgpsLfHRb4Yc+PAowG8\neIeL2REWYpoQLxZuGPGorEVlCcDaILnihnPTGI//dYz9lwB/CEwvuNky0OgFosXiuEZVXHvkPfkm\nkEY52rsoRE4XEy70oMYFGlQJVNyuRRZBHMpSwH9THTAV6VvNTdq7JNivNOYhvpqaklm5ykNABUyD\nCvDsmygaY3f3+cypSDkEVXFUPODhG8D5U6AnQEvfZxZNy2GrGf/e7APLLfD0LT6LKk1XG4wCHY+O\nG2QTKdhVv6vNoVdzwW3MGElqFFUW4cPhBe/dPSALKvoRsNwA1YCHpy/Zks6eIUCcv2twQVqaWS84\nDo++S0fFsozAarghgyqSNH17wN/VKD6OeOg4jimFbhZy0AFIlsDjUwAhcHQkTu4hx/bqhA6EqmeP\nh8yelWsimWCTFXn/Yxynxdj0oVxOZA2kQFXGt94xGBbkptznl/k+u/fovA7PUZSEHU80tGI6FiqY\nrIe6ZgmjLf/fP+B3tS1MpU5n4uaJKV3bAaEAmZRKvBJQanHPxWMecKWAeDFtYVaXaDYeSlm1C5w/\nFF1BcF0p6zLP6WB6PnD5Du+R58ArnyJQ+OYEqEsmoyTl/PU5QdgfeJkYFT8gjGe7ZMl7KyD7Zg9w\nRDontrnW8gyYXxvZBVgSrftgCzQ5VOvPkVnCNTMMRy8D3XtgJJBxXOIJ4KQ8qJPIqJPPTrnG9eBS\nqZZqn4Gen0v0X+OYwaYMTKXL/WSVAPhAfEsAvgKjGz1qqG0WXAP9I4NDOrjPDMR2BNQFxpCsueYv\nRD+r3jGyKs0jIJcgKYmMEO7OEa/XlflaTvkeWSqSNpdcx74QnC7fBR58AgUDbjqkQ5nnfIZ6h5nK\n6TXX2dVjjqVqSWr5NxSHtXdA5zzbSgY/4Hs0+xyDSo3zkgjho9IDltcmC+VrcCPlUWU7p4lxirRf\nYmtgiCCZsBi9HROAxRuOgSMgctuiIx7KuZBlgnMciLOWMvMJi+SBUGyIsn2VBGE5xiHXFl+rGed5\neMa58quEVvhl4CMfQ8HGDirS1i9jsFyq8DubBcv+VgB05FmUcLEYc99196XE6ZFUZjeA3SqDt727\nRoS3LJIcpQrnrVQxEAIvAN58wrl+5RN8xyQGmodcx/HEVCyevW2CkcohnbMkorNVEWmWzYpjMTzj\nM1mWKWHPhhyX3gHwz++ZErkSd8aXQuIS1YF6hxnx/X8vXse/289nPvMZfOYznyn+/uUvf/nf6fff\nE6dsZ8cgvH/zN38Tv/qrvwqAGbDT09Pi387OznB4eIiDgwOcnZ39xOcHBwf/4LVHVwIkFQzQbMLy\ni23T6ChjcOeILAzbFXzJVtr5CNC+tQPES8Cz2Ouyfw8Efh/S8YmEMZekLFG0dznp8zEPpukNsFpT\ns0vlE7yqKaH4ARdwtcGWPK0OkJa4kS2bWSSVr4hCHsaWUPuzlItQ2XSqHg9hBfousHFocOptOj/z\noWwu2zATdZECKPqppQmB3Wki7DUP6O8Ic3LJQ6jSEOwNeL1ml4bo9oxjnWamUWzB1LmiY9zoMjqO\nY8POGZ4ZJ6zd50bdLGn8PV9KO1Ky3T2mI3vzFGgEjP6rLRR6UNuVwTUphmVwTEd3szR4lSTic3zw\nU1wz6lxNBCQ+uqEuT7NB0c9u10iUaAlU8UGq/7OYylhsgbYnGVTHlGjTGMgl8lRD1u4AG3Ei5iOO\nW7XF+V5NeBiMLmV+GjRSmknSfnfbNZ2tupTnF2OjWZQlZIbeeUXWujht2xWf60a2VRIB2xC48xLf\nb3jOfYJcnBkhkIwv5fCU8vdc2GYVj6W2Rlf0lmaSsa0YwLTjAMsh58bzgfmJCTzKPToKBw8ku3jC\nQzW3aNxdn1mW1VwILAEPlTwiSD6PjZgocgYhjsPnsMVZUVbz//5d4NMf51qLY47jasgWLK7LwCKo\n0nFV7IzqH0VLQgtaTQYoa2Gojs65Tg8fMGMLB7SeC+Dk3zIIXC2JI9IDstGjzam1Ab/N/Ts/BZrH\ngNUHIFih7jHg9AFkQDKmYwhxxuAAiAGvB4b9HmBHAG7YRsd2jGh2fQ/Yq3EtBocCzN8C8TUQZ0D7\nLtA+BsIxsxcqexHPAE9gGNrvV3FljitMQMk2o0y7s/9ThGlcPARqIbWsPvzPOUbahq3W5hqqNgG3\nCSQrZpU69zkWOxHHVQHils2SW2PADJrlcN5GF1yTpYoBg9s2UN7h82Akc+ECtQEAG0gEKF5rihPl\niEBvZiRQMmHz2hUAEnBnc8BOgUqbmEZtz6f6YlnMc8VKOX/lHh3aLANKkbSNEgyh7bK7xOmPOSfN\nvunf6pVQ9BNeL/g8rYFhYTpl4N7PAsmcz7n/IQARWdpKhGjvCrErEyJDi+9Q8ZnNi4WFfP2UGc/F\nhE7Nix8hbMX1uA+rDd6/sQvsvir3FPSR1wK8NpAvmMVDhQFQbrNbxydf5viPT3lmzW6BexbQ2Acy\nlwEscp4rnT06u3PRm1PpGdtlP9z5CLj/YcD6AMkAK4HkaB9OFfCd3vC9bFvIG2XiqVW/MNwwGK22\n/5/9lP+//rwnTtnl5SX29phb/4u/+At86EMfAgD82q/9Gj7/+c/jS1/6Es7Pz/Ho0SO89tprsCwL\njUYD3/zmN/Haa6/hz//8z/HFL37xH7x2WWjRQZWTq6BQ2wFe+hiN4/hadHAk3R5UafBDAbbGksnp\nfxJAxUHfSwGJYmvHFubXFqqdDEGVFPGd++bwbYjnf3AfWOgmF4xBucrN22iY9O9wS1JAa4cLajUz\njYYVdFpr8jrLuTlwXcH3TG5QqO7HoWCLcpHO2BVig8vIPI4NOaAtJY7FmNfpHnAMNJum/ceCGjMc\nlQajVgWlhmvDqtHx6u5z7FX2YXJtpCAaHRRNh6064FtAdo1CpFHFLmPRrHJcZgb8EuAk3EDa+SCo\n0QB7vgEajy5QtExS9e/ljIa/1mVWQ59hvTAirnkmwHYxrNoWqd1lGUPZlq7kubUcVSrzUIiFJZQk\nnDPVGDt+heO4XnKcwy1wcI+U/9nQCCsupwJ0TunU3PmgsEPFIVX9OdVzKteEYfWEjla5yYOg2TOl\niEpdsj9yiN55hRkRZBwH16XTPx0ain60RSHU2noB6PkAVjz0XA9FaerlTxhG2HJqpEF+9LfssODV\nAQixIw65nlwpIQ/HXGduA8CGY30pJbBSSZisEuEr/lC7F8yG3J9twTxGS8DZip6bZhkto6WkGC3H\n4Z5EThD4m28Drx5z/6WpZBNGPJgOhZl7/DKdhmgj66wEPP4B8IGfoXOynrHUmWVGvwwWcVS2zTZi\n2qO1tQ/c/RjH8SDgtRYjk13JBXANyPxMpVw3Z0mvtcNSq7Oi85pEpP4vJoZUUK4TaxfOmJWOI2Yw\nVjMGX67siVQIMtsVs1DdPZaB/AbgrAFELFNt16ZH7uiC92i4xD/NR9zj54/4bM0BUNsHM+ALwQSV\ngWxhcJPRBoALeE3AuuEe7u5J9mMN07aoS9bk2fcEC1UGvH0GAnEkpWdH3jNmprBU4/xOrmlznZIR\nR00e0u45Lq+hGa/VlOv86FWWVy/eQdESbz1jULSamq4C4aWA88uE3oZr6ZYh7NDpjWma/e7/abTj\nbJfv3uhwb6qEhCsQE69EhEypYvB54yvg6ga4d5/fV7aoHwCzayl99sjKnZ5w3ZbKgtVbcu2WhBX6\n9reYIS1kXG5RdFDp7gKpw7W3/yL3XWfXtEIr10TgtcXqxPCMwZ3r0N432lLaHks2rUH7df5tBla1\nOrA9MTi8k4fA/Z8SQH9OXVAtU1syL7bL8a40OMYqWj26BB6/Awz6wHYL+BnfNYkZnN+c/qRu4YOP\n87mXMz77fMhr7b4MWBWgNCNMQcvi/9R+/tHsy8997nP4m7/5GwyHQwwGA3z5y1/GN77xDXzve9+D\nZVm4e/cu/viP/xiDAcFOX/nKV/D1r38druviq1/9Kn7pl34JgJHE2Gw2+OxnP4uvfe1rf/9hLQvX\nn+ICuz0D7n1IotuN+X+05aG8mDCDon3Dbp4JRghSKlsD1ZcBPHgJaEhWLtkC2ymRm9sJsAqBskPr\nAvC0WG4RnQD+DhjJRqBD5z/3oBG4Gy3whpDvJPwvC8VpdIRZtuDBZZWYFk+3NJb6ozo+gdCjNwvR\nZWlzs1uCl1L5As3oxaFhgSq1Wxsm35wKxdhldOpWgTwErIwG6/wdZgWUpXV7CUDS+5AS0FowIN0D\nAWmuRXx2KVpoNUZOevjlORsP2z4jqMVYcAiuOB8Jy1SAURLPUiOQuxLQsoreImeWZT5C0dZDxUF3\njgXEuuQ8qG7a+JqR/+AOjXwcmhKA4mmU/dTsG2C5tspp9OgUqMCuV+LzaKYrFpYUXOIPFxMhTkz4\nvMr0K0spUzNoaYpCSiDcEC+T5zSU19fAnbv8/AXJjtye8YC/84pk9iBR5DXXVKONQmzYsjkXyGkA\nr58ywi5IDokA8xc8eLQrxtkjrovdPd47TQVjIgFFtYWi7Yk6nuqkVXtcL5u5ISBYACyfZcP5iGM5\nH/F3Du6biD+JjCO/XRkNvP4BCuHoagM4+TEzKI0O7z+6kOyMi6K90HYlzLyA16+2uMc2a47xcib6\na7GIqI6Bm0vgzgMUgp0A57wz4GEBYWZWG0ZnSvuCTm+51lXnStcTBOA/vhbikJSK3RIzEKu5ZFoh\nzyEyCk3Z3+pYuy4zGsmajnAOI6B69YQ4NtVi3Dnm2l9OjHbg5RNWEZSctFkYoeLbU65zFVN1fT7z\n6ELKTnVjS5RVaNkUBs1zmk5PAo7rZxJ4eUIoaNBJjbaG8GFJ+XA+EmevwgxNrcmS3+hSSFBTljHv\nvsRnVYaeZkm2ApzXQNh2eA/dp5WakZlYTnkuaCuhqhArfI+fJTEdp/YOP98sDdFAGenqWFTrLNcv\nhA3d6ouosgDON3PJoM6k6uAYO9zqMgjfLDhOiwkdKR3z8XNs5vVCgoqXuUYs2/Sy7eyZY8bz+F0N\neLdLkf4Qx9ECA77dF/g9xYAqe1pbSK3nJpmhMjUqbK69mRWDWOoB+ZpZf+2FmsSmrOw4JrCudxmw\nhJJZ9DxzdqkG58Vj4OIK2NvhfHo+x1XHP46MpI1mrrPUYIYvBMqS5UD1l19H53/8p8e+/CcnHpv+\nK0YUjjgTWUIvv1zlAgjqjHrbUpLLc0ZgacJIfHxJ/I/jAH4fpDJfEgdw/Y6kcvtcwOsRnR+NFDzf\npF3PHjFboVpoqva9XnDR1Nt8xnAtYqsxsWk2uHiub1gS2q5FdX7H1MY3WxqJRhdFO40o5EZ4WXSb\ntP4ehSjU4ctlEc7bSrPcLgockgLNTx9KlCHU56OXaehnI9Hr6ZMlVWny+0/fNJIgzT4N4WLCA6DR\n4zjtHBsBVQWGqu7YG39HUOl6AWI7BAOgWS3X51xAQMfLGbMmB/dpVBZCvdeMgO0KI8wVZfcynRml\n7J+/I/PrkvlabRqQeii4kFYPRWscjdRgGQd+NTd4j/YOU++bJQoR1DgSkLwtOm49gl6PHqCgfQd1\nHhCjC8OuPXwJhRRFe8B1E24E8+Fw3BUnoVk6bZG1nhHPdO8jfLbFGEUbFm1Sv5LI0Q+4pp78APjI\nf8S1nW5FWf4pr93b5Vjenhl5mVqDrVhc12go1aTslmWAnYtTAqDcYvnXzozgph8AqxXbiG3XotPl\noGjcXe/y4LUk67waopDziAXLVGvzec7e5TOmCddxo817rJcGCF9vU9rCsoH5lREK1X6SvbssgSZj\nyYhacpiLPmAUiop9zGvX9V1lXBdjyRSW+T3X4e/X27Qb2Yrzu5jQWXZKLLuFG77LbAkc3eWezGLg\n5IeGPALwPZT4ooxa5IYNCAuodhko3TzlGPYP+bzbpaw/Ydu5voj4yuFU63Lc50MB8s+oom7bpstH\nuSZSKQuSSSwbRbcIxVNql4ZyFYUmFnJmYasNk3XXlkcqrBpUjIhvpW5IPeu54L9atMdZJg7TxuCM\nFPqRpxxv5MwIpXL4KmNdS/QKjF/NZO/Kd9ThsCwUPSWPHgBBk/CU8TWdmu2SZ8lUsMWOy/lORXLB\n9QgDqLfoIKxXYvvBIMMKgEgkMtKUz6K2ZD42wsPVhkALJEur/Wq13Vu5DcAHUpHWePoQ2L8j871m\nUFIbcC9fP6ZdO3ubY1NrPQebkQzVdMgSvHagCCQZEdSZgbx5YtiyO3e4Rm+EkJFmnDPF53Z3f/LM\nSSL+fXCMoodrGjMo8Uq0zdoiSpukO650E4FpW7aRzK4Ges2ukTQpdM5aIGnllnM8vhIYT2CqT5mo\nGmjlaDEG6p99vyH5e/5jWRbmv2BKEtpUVSnrjTbgBjQKrS5YeotEYK4q+JKUv7cY8+CyPR5e2wg4\nfMFonwBC8S7R4IUbIzuhbT4s1XgRlqPrSR3cp2G8OTVCoyo66/nccHFIg6B4pDgBHMswSBQnEm5E\nvLHOzbWcGvHIUhlF+6SganqFbRbE6tjy/kGZxi3LGd1ptDsbcbOpurnncyPu3uXz3p5xM9fa3PRe\niZmvh4+BlsdkYKVMZ63aMPIgubBqpjcCcq8C5zfAfp/XUR0czRY0ehznjZRWxlcoGoJXJAOaJsIO\ngzl8M9m8tiNlT6GOz4aGDRRuyIQ6umekKjSjoe1dqi3+WyY6PWEoDniJ8xAICSFcMYVerqLozbhZ\nohAYVidK+yM++RGv09kTvS4hMui7JykPQzsAwqlkIGJGtkEVhf5emtKZava4LrVno4KQtUNBEok+\nWodzsp6b3p7rBTFWCwHfwqbhXY5QdDJYTgVDJuXxvrDxYgHuD89NqVrbK7UHhoBy/ZTq8vc+wOzE\ndi0SIzHXzd49OlXlGooG9SoZ41foNJbqdApDYQW2egR4pxkDlcklD4BKDUWbNXWu9RBUUVwVC53e\nSsa1zTFzS8QMbWeM3Bt94kHznHiZOBRShMhCqKOeJgZ7uV3xua+e8KB98EnAaRIDF43JaK23ea3e\nIR2dkx/yOXeO6KDGIcfUcfmcQdlkxTyf75CmHH9tM9UaMGs0PBGcVY2lruWMY5ImtHv1Dp3foUB4\nK4LBVKe22uDe0epCpWGC1+1CSnaCgdoshYFtic0U9jssoLHHsqcngQQSIJryeRq7/PtqwrGYDimR\n0uyLSHcAICVOKt0am9vs8L3TlHMSrQ3Ds7UDwCPUbnwp0jAd0QdrcB15dSlQJMz+z8coBHtVH81x\nxUYJ1KA54L+Nz7k+ag06WxaoCbcS6EN7l+86vkTRTq5S57XO3xWM4C6KjhJqF3WfLiYc8+mIc1Jr\nci9akAAzQ9Foe3oLXD4lLMJxpf9th5WW1UTKsQupllisBmmHi+4e1//tuUBsKiKNkf7kGaWBiOuz\nUhMveG45jtyvAaoOZFQTWI+ZWCjJekBidD0146wagqUKChFmddZqIpUxvRVFAClpaknWEwkS7Wtt\nO4KLzhkgqJ0vlQ0ZrlJnP1aUgHwFTM4k6P759zNl7/mPZVm4+ZSUkBaAUmRVQbizJ975kkbQ9Wn8\n4AKpALEtlwtuckmj4R/xOuEz0ptLddajdaGmMSdYhVM1ktQekAW+aWqYkvWOibaUip2mXJBzyd5o\netwP+G7TWylfCLOqFDCToeUdLaGpg7BZmkhrdE08T79j8AcqKhqFIpPg8vDQ3nmuZ/S5Bnf4DOrs\n7BzxOU7e5MGsei+qsgyYDM34kiWTVA5BxzM4nMk1r1Oumwi6IYfR9TlxCZbFsay1RBTxhgbs9gwY\nzoBXXqXR1J6AFbmvlnpUSVvHZznlQadK+csF0N/jO2pUtZxwPnr7vJ6qbWuPvc2cB/X8VjA5JRSY\nKwWY7t/jn8PnHKiHb7L1h2Y5XEnPr4UFuN0w49Ea0KAsp8R7VFpAuBB5C1kP4QZFT7ko5FhqCbBU\n4XcWYxT9MrcRsH8sveAke7CccX1dnQLHL/E9VIKi2aOTPr4WzFNuAgXX5xiMr1my88uSKRTiQKMt\n5dIIRZPwPJN7PZXsrsvfm435TkcvA44t+n2SUa01TRa4VKHzEW5R9LLcrDhuecaSUBoTYeCVuB9v\nz1j6y0T2xLKkDLTH37NLJBfMbg1uZ3RJ50wFjWdDjuHhS5LpFnKN4/DfLp8Axx94TvqiRDKHkxH7\npCrp01tmsVSsFwBqUloaPjbMulKVh7zjcUyVgGM7vFcgB1F75znxVxEk3ayBepN2pd5lqabd53vM\nh4QRlKs8iHsHHMfprWGL+22W1CdXKASpb06JNVLR1ck1x7K9w2fTXqfDczpTixFB1ZYlDFEf2N5y\nLfdExy7cSM/HmbFF2v2i1WPQNbqi86L4ov6RWWNZhqLv63aForPEfMi51aCuVAYuLoFem7bs9oL4\n3e4e32d8ZTJt6vDUO/xcZTscYaiHG77jakZssh8Y50UbiGtD7e2K19fg0wv43sML2hRlAK4X3PuN\nDoNTFYTNMq7dWkukbkKjS1ap817LmQkqVUB8NqTjWxbQe5YByGir4hAFgSBLmcVeTQ385PmxbXT4\n52dvsZRZl/K/Eiiy3Nhr5Aw+0phrOo75rBXBvipJRrtVNHoMbsMtPwe434IKA61nD5kYOX5VPlsL\n9OASRYsn1fWc3hqoSu9ABGdnfF/VXnQd2s085RrLpZpRbwP49Ouo/M77Ttl7+mNZFoY/x4WmHrZi\nqTRlq/iyUllSrAIYrLdNqlZxPXCB0k+XgPohwzH13OINaxG5zLptswCufXzSmLWmDFzl4QZYC1kg\nBzADZufMwtV2GYHA5YLJ1qQK3zyVnpw2N4+WOiPJaE1vCep0HG5ax2Xa2aoAVkrqt2YD1LmyLBrY\nDABsKafIBm/3AViy4aembKDK2U0BS8cho6NMtZJueXjWO9wc3/874KM/L07G0rTCSFOmsqGU5rrR\n2slSAocbPVG8h5Hw8ALeV7M/iuOpNEgFRyZEDotZKs0EzocU13R9YHrJDZmlKFTtNYJWxfXWHqgU\nv+Vhuprx+fuHnKdobRiTl495ACkOKdrSsDiOCBt6xvkNNxwDdcwbHf5etcF/uz3n4aKyD6o+vZrx\ns7o4FfGCbOBSVRyVSAzO3IBn88yUKSZDZo5KInmhzFJtB9PoGVkALc8pHkUxbV7JGFV1LkplyYr6\nXMpa4jv5ER0q2+FctPo0yi2RJ1Dm5OlDyQR1OEc5gLsfBay6MMIkw5Jn0qWgy3XW2gHsGoCYmR/N\nUtY6gNPgGkkm3OPrhSmJajZVOx3MhaHZ22cGMo9NqTpLBGhf5zglEQphTu1PqG1h0oSZB8um8+D4\nxrGb3hi81PNYK2VI1wWnZNvMwG3nUraTbJXbFjZlDuRTsiE3C+DdH/CQ3H/ALE0ueDjXpZSEW0eB\nTY1izsnOIQq1/loXsMSuIWWWCBJgvvs94P6nmQm8fGigDau56SMZbjinSsRRqZa5EBeCihzsKcdB\nxYz7R6JBNjTEpbKU7y4fc1wGd8x+KddYEvaqACIGP1lGR9lvcn8qDhEZg9P1XFp4ZUaguFTlut6u\nuGa1p+dc1uVanK2rEzpaeU7cXJoBL35YAnQx66E4UI5riCOjCx74lTqKbiSOTzsczumEDY65pi6f\nSBUiMLg8tacqgOuKFFGWURFgeknH6NVPAeUBHebphdiUMZA5vI9XIn46aJKocXtqyvqVuqkARBGD\nqjzjXqg2RBeuYvZzEnE91fYAOEC25Ht2d03pe7MkAzbPmNmsNbk+NkvOhTZRH8uzKgRB+9fWe0Bm\nAVYsZfKmEI0iYWrLPrh+yvFo9jgmgcAdpkM6WarOvxFcsAqFl5vEVA4vTOazuydrryXvEQGN/+R1\nWF963yl7T38sy0L8X/BQWE848H6ZuAt4KFLho0tRnPcNWy7ckCmVbJgFqA/kd+4HABzgbIXFY2bK\n/AMQzHsJPP6+0QjrHfJ3ki03tJUYbFGeolBVnlwTZ5Um3HTNngGul8qiqA0BD8smUobl8FzwChYX\nZ6nMKCET1plfNnX6agNFC6E0NdFXuWZKgLDoAPYOUWh0lQKTNXN9kwW4fmYWdEvKXyoOqJ/lGR0g\nZS6NzgHYvEZ7F0hCZs/y/Dk5joUcsC0TDbUHgF+j/7tZ8Hvhmhs1DumUlWpsM1SIPt7lVIULzmEc\n8l3VsVDA+WomEegGhVxCc4dlmXDLjayZJwVkq8OipIIslUjM5WbfrKTc2aCzuxpJCbMm876RyG8L\nPHmDETtgcIEa3Q+vBKwt4OdKkw7h9Ja/X+/SedAo0RPgb5oSxB9UxeB0JEsmDLjpkHNeb5n2UPU2\ns3JJCDx7k4dNQ4Dg6wXHodISnMiGY6JOX71DQkYuhBXL4YGgfSBtC7g4A9otBhHqxM8EtF2ucZK0\nNTwAACAASURBVL1spfxe63DfJJFksaX86pVQiEGXxOhePuFBX92VPRoST2IL9iyNTYClZSgt+zU7\nhoG2XhjZltVcsI896bn5hPfvyNpu9FiW2co7tgZ871JF9vySmTxYhtmtjvbkimPe2WMJExHxctrb\ncTlldtGqAH5dYr5E7FCfOLSH3+F4aZa9OgCimdHvylJqp8Hitct1FFI0s5GwavuSNdkIsNzlmIQL\nYd6WxTFoEJydx8QRhVsUzeKXM9PWRgWB3ZKZRzeQoGYupbk6r2M53F+TG+mdWaOToW3TLCljXZ1I\n+yCHWbrjlzmOVydcV1XJtEwuOMaqYxcLYeXsET9X9u7tmWRKPT577gDVinGiAIN3/fZ3gXsDKcvV\nTFZQy2zaLF5lNVZX7MHbGZgenGePUIiaNrqGFKQEh+d1tywYDKbj8h1h0ZF2BUenfWzLNdr+/hHf\nc3jKdVmpm2yiOl87R1L6nwm+cs4gcrPks9U7KDQIJ1dcl2Uh+miApkQp1ToLNwbvqAGjkkxUPkV7\nKNsS8Icr04qvucOs6fKG81Gu0pYHVTq28ZaOeZoYQfPGDgPicGawbJp93H2BGoRbwS+3BjIGPp+5\nUpfq1Mzgn1MJjLNE5vTTr2Pnf37fKXtPfyzLQvpfAgv13jtgZC0MPz+g8fAl5ZnEnKR6h1FMeYdp\nXSdhqdI+AlXBh8DmjKUOvwwgZzR2+ZjaW+0dXm98hUIrJY3pLFWaXGC3ZwZbEEfEXijGbLPg5otD\n4OkFMGii6CXplYxTdHtJPM8sAV55CYVyu/Y9U2mPWN4rTxktNARb4vsoeotZwjDrDPhnze6oFIZm\nXhRn1toRLau1YRh5ATfe3l2D6dCy3OhC2IlStn3hA2JgpqL03+LhW64Jq/KZGFLJcGpfxuWUG80v\nmai2f2Do5q0dyRaIHpmv4PiE5bXxpelPaFkomosDBnO0dxcotRmphTMegJU6cH0G/NTP0pnMctCp\nX9A5zVIgToHBgZkrx6PT43q89+SahqZSkzWRcOz9AEU/SVW9H17QWRlecG2Ea1M+1T6nmwXXnesb\n/Em5yvE9eJH36O3T6M1ED8wPmJ3qC7nBdqRM8DbX6N49rps8N/ioyTXHZbshdiZN6MiEGxnjEg8T\nzzdlGgURI5cm3lJGPn+HBvD4VRrw5S0KiYYo5DyohdEMix0QaL0WNu18LCy4FQrhx9ktcPEUuPeq\nKUv2pAyvGS3tKTq5lr6gHSDfMPOynDCzpwHLdgl074CH7Y1kUCPJCpY5/8lGHKgenc6rEx5Mjs+y\n3c2ZkY+pNSVzA+khGnMtxCHXxu4DZq3SLeDEzIzcCGP2+GUZS58ZRFhce1izk0C4JUkBFvFZ2lTb\nLQObKefALRFrZ6Umo61i0dqlwA8YPKIEhCIf1OjTgcqEiajae+HGZKD6RyLZUhI1+oC2MV7z/+Ga\n10kSzkv7kPb09gnLkyXBXPplOojn73JdaTPpWMD82jnCrYDYM3EGtMKhIPOOYklv+ZyXj2nzisbf\nNscEGbPNjmuweMsZiu4YJZnnNKH90IA0qHD9lyqURLESFN07lOywf4/7//op113nAHAE1hEJs3qz\npO0L13zuapP7tS645/E1nfPmC3zcVADqlkUHfS7OtSf4ws1a+oEKg/F57KDtCLbtyjDux1c8j/xA\nzo5bozenjFk/kGBLHPDWAef06l069UEHgLIiV8yQIaG0CASn7PdkvUac3+EF11D+3B73SwwWLIvB\nRBpJ9k+cyBwo2hTGoTCZI8FtenRQ77xqMrWqF6lzori+apvzXBJHfDUDrp7xfv3XX8fB//K+U/ae\n/liWheUvcZHNlMHWgyAuAWyBzRC4PKFUgCV4G68kulVlYH1jemt1P24Buw1gs8D2BxmiuZGo0EbX\nbol17IWUTrKEB4hqOc1GBCv3j0RzKhOmp2A3ADngY2AbU5k+kMis0ePhEpRR9HlbL6QEmRo8Tqks\n8hVChb55Jpmkiikd2oJdWs54OGg5J9wYjNr5u0Yaon/IZ1tORDBXCAcAisa2ysbyy9xEeWq0z7QB\nrmLe9H2SiDgu32cZs3cg2RBbGJ8rcRA6NCAq2+AJJX065J/DNRlBuZAQqi06mJrR6+yiUKkOBPcV\nR5y7jWDTlMmT59LuRViLmilKLGCwh0JwVQ/5i8d8j3obhSSClvgqNZOBULHZ9YwGNI1M30rX48Go\nPU9V1kGxIlq69Uvmuo6wIS9ugKN988yqddbomnKwbfOZr57wwEsENNvqSzlmjaKFj18G4HD+tjMa\n5WjDACBNTER7eyps1YCf+1KitV3O3XpB57De+UmZEzWa8xEdXFUcL4lzuhJsm+0Ct8/4XtslHY0o\nRKHA7rhkdVogo9OyuAcs0LkEuH5mt0aWoN7hmghlfFZjsq+rTd6vJaWR2UjELy1Z83cBuwpkC96r\n2qWDc3PKZ210uYbKkgkdnnFMWjtSGmoaKRQt95fr/O7oXMYuoBMQVISZCBFo3gUsD0jErjg250+x\norMl8IGPAkGPNm0hdmAtGeOgxu9X28x0LScGw+oKGef4FY7X1RMyahHwPosr7q9oK6DpqhHd1Ubf\naYZCT24j2F3dZ9UWnd5wI1I4z5V104gZ5HKfoqOIge0N18roihmeJKSTo/pwim+KITighA6sqsOr\nHpxio7Q5+bOHDN7qbe5B5Fyf5ZrguLrCgA5ph6sNg7G1IEGFR0cXLjA95fiUKnRww7XByGrAtXuH\nNsZ1WSpMQgbD85lkaGcGUqOdJGyXAex6LkQTh2VmbwfAGhg9FmzZDoAUWJwJpAOczzAEKkJSC6QM\nuVkLvrYuJAhhpG9Xhvx1/ZR7pnYsY3PFdV5pApUBg5fZtWE9epJ51u4sodjpaovjcnvO7JVtA5sN\niVmq76hY5Cdvsx+vNpYParKHb3kWdwZCmNrI3peqxWom57PYxWgrsAzXnIewKcx89i4byyv+U3UO\nz98BbibA4R73VrMFWJ9+HYP3M2Xv7Y9lWUj/KxphxwFLGyKJYK2AlTBiyl3AKgPpXPApFcCXz/KJ\nAHYD0Sr6eJPh0e01YGWAR1paMqOh9csApsDykvTjgxcBWM/hN2IgXYG9MWviIEk9PRvzz5nFDI0f\nEDdj+cSWpWtGiemGxtuuALnQuV0fwJrPb9mAU6YBtG3ebzGmoVAsS7kmm8SnmO10aLAW4ZobzZEM\nV3ffZNmCihxgNje361EZOl5JNFkBXInW0iHxMcrq6coGQMLNNBtyw2npY3pDZ273jmGtKpYhGguB\nIeUBE22lVYyUl2uysRcTRoDaEDjckNZerhqMxHZt0uq1tmG4KtahucN5mFwZppIaAqcDGoOJAN7L\nwOZGSqABn/mNt4CeRP+9fRqYnUPJJDW4HpIl38Wrs2yTxMbhTCKDpcmEVTa75bUAwRn5XNNehWWg\nzZLRuGUzO6IZ075giNQhcH0eznlK53J8DWh/yaDK723X5jDzfKCyzznIJNsKGDxjow9kNrMFiyEP\n0IowLj0psUcr4PRtc6hq/1XPp2O2XfMAHl5wDbX3GYFvR6KX1jB4pzzjYT4X56tzzM9iwQh6NYLr\ns5AZck+Yk7C5fybXQPeIc5JLycYSJlkuGVnb4Xe19LmaAb173E+Tpzx0yjXAawAqpx1PuV769wEr\nolNWqrDRc/W5LFm1K+D/ELh+wgbh4ULWtEAbtGXUdsl167Y5LlbI54THvZ4mgLMrczMCxifMQjkV\n4lBXU8Fb1gG3yYyfJyQNp8ysWLZhu6NqyzSMtiQL6NVoaxYjBgcazOgB6de41uYjOp+uBErIOT+t\nATFf2ZoHfBwD7Tuy9kS+5p3vMms6eACq5Gdin7fMjmoGWYV9LRAfFwlj0JHDOJGMvWalHdHsCpp0\nvN/+HvDCA65N26Gdcvq0RfEtnUPHI2YTHpAMmVnpHwms5E06dNslS2jdXTpYWWIy8benPBbuPOCz\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1w7yAex8FOUKuS7sOCzi5R0kcI568/wzNsQV+V67q3uWM3Dso/ZtP5Fg3AHQBrIBKyPhs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\nzafaa0srMgx8FIJS+2jQh8kYlpfUj2FXUYg4Ut8bbY0/CKU/R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7qmjLG/g4vYRSFjbHqh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\nWJKdCZ9Hb/sAAAAASUVORK5CYII=\n"
      }
     ],
     "prompt_number": 108
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "As one can see on the spectrogram, the higher the frequency, the higher the decay. Why not look at the decay line by line for given frequencies? Let's start with the one that has the most power. First let's check where the max power is."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "figure(figsize=(10, 4))\n",
      "plot(freqs, ampl)\n",
      "xlabel(\"frequency (Hz)\")\n",
      "title(\"Initial frequency content of the low E-string\")\n",
      "xlim(0, 1000)\n",
      "xticks(arange(0, 1000, 50));\n",
      "plot(arange(82, 1000, 82), 100000 * ones(arange(82, 1000, 82).shape), 'o')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 119,
       "text": [
        "[<matplotlib.lines.Line2D at 0xefac810>]"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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S5j2NK2WgdWUiIj2FQpm4RQv9vefsSpnOwBQR6RkUysQtqpR5z9mVMk1fioj0\nDApl4hatKfMeZ5UyhTIRke5PoUzcokqZ9zhbU6YwLCLS/SmUiVu0psw7Ghqgrk7TlyIiPZFCmbil\nqgr8/BTKPK2uDvz9wWL5ZpumL0VEegaFMnFLVRWcf76m0Tzt7PVkoOlLEZGeQqFM3GIPZaqUedbZ\n68lA05ciIj2FQpm4RaHMOxp/GLmdpi9FRHoGhTJxS3W1Qpk3NP4wcjtNX4qI9AzNhrKCggKuvPJK\nJkyYwMSJE1mzZg0AZWVlJCYmEhERQVJSEhUVFY59Vq5cic1mY9y4cezcudOxff/+/URFRWGz2Viy\nZIlje01NDfPmzcNmsxEXF8eRI0cct61fv56IiAgiIiLYsGFDhw1aWk9ryrxD05ciIj1Xs6HM39+f\nxx9/nH//+9+89957/OEPf+Djjz9m1apVJCYm8umnn5KQkMCqVasAyM3NZfPmzeTm5pKZmcnixYsx\nDAOARYsWkZGRQV5eHnl5eWRmZgKQkZFBUFAQeXl53HPPPSxduhQwg9/DDz9MTk4OOTk5pKenNwl/\n4l2avvQOVwv9FcpERLq/ZkPZ8OHDiY6OBmDgwIGMHz+eoqIitm3bRmpqKgCpqam8/PLLAGzdupWU\nlBT8/f0JCwsjPDyc7OxsSkpKOHHiBLGxsQAsWLDAsU/jY82ZM4fdu3cDsGPHDpKSkggICCAgIIDE\nxERHkBPvUyjzDmeVMk1fioj0DH7u3vHw4cMcOHCAKVOmcPz4cUJCQgAICQnh+PHjABQXFxMXF+fY\nx2q1UlRUhL+/P1ar1bE9NDSUoqIiAIqKihg1apTZGT8/hgwZQmlpKcXFxU32sR/LmRUrVji+j4+P\nJz4+3t1hiZsUyrzDWaVM05ciIl1XVlYWWVlZbt3XrVB28uRJ5syZw+rVqxk0aFCT2ywWC5bGV7rs\nBI1DmXiGfaG/Kjae5apSplAmItI1nV0sSk9Pd3nfFs++rKurY86cOcyfP5/rrrsOMKtjx44dA6Ck\npITg4GDArIAVFBQ49i0sLMRqtRIaGkphYeE52+37HD16FID6+noqKysJCgo651gFBQVNKmfiXaqU\neYerSpnCsIhI99dsKDMMg7S0NCIjI/nxj3/s2J6cnMz69esB8wxJe1hLTk5m06ZN1NbWkp+fT15e\nHrGxsQwfPpzBgweTnZ2NYRhs3LiR2bNnn3OsLVu2kJCQAEBSUhI7d+6koqKC8vJydu3axYwZMzr+\nERC3VFXCs48eAAAgAElEQVTBsGEKZZ6mSpmISM/V7PTlvn37ePbZZ7nooouIiYkBzEte/PSnP2Xu\n3LlkZGQQFhbG888/D0BkZCRz584lMjISPz8/1q1b55jaXLduHQsXLqS6uppZs2Yxc+ZMANLS0pg/\nfz42m42goCA2bdoEQGBgIMuWLePSSy8FYPny5QQEBHjmUZAWVVVBQADU15tffm6vRpTW0NmXIiI9\nl8WwX7Oii7JYLHTxIfg8wzA/JLu6GgIDoagIBg/u7F51T889B6+9Bv/v/32zraHBDMF1ddC7d+f1\nTURE2q+53KIr+kuL6uqgVy8zmPXvrylMT3JWKevVS4+7iEhPoFAmLaqqMkMBmIvOFQ48x9maMtC1\nykREegKFMmlRVRX062d+r4qNZzn7QHLQtcpERHoChTJpUeNKWf/+qth4krMPJAct9hcR6QkUyqRF\n1dVNQ5kqZZ6j6UsRkZ5LoUxapDVl3uNsoT9o+lJEpCdQKJMWafrSe5qrlCmUiYh0bwpl0iIt9Pce\nV5UyTV+KiHR/CmXSorMrZQplnuOqUqbpSxGR7k+hTFrUeKG/1pR5VnOVMoUyEZHuTaFMWqQ1Zd6j\nsy9FRHouhTJpkaYvvUdnX4qI9FwKZdIiLfT3Hp19KSLScymUSYu0psx7mquUafpSRKR7UyiTFmlN\nmfeoUiYi0nMplEmLtKbMe1x9ILlCmYhI96dQJi1SKPMeVx9IrulLEZHuT6FMWtR4ob/WlHmWKmUi\nIj2XQpm0qPFCf60p8yxXlTKFMhGR7k+hTFqk6Uvv0ccsiYj0XApl0iKFMu/RJTFERHouhTJpUeNQ\npjVlnuWqUta/P5w+DQ0N3u+TiIh4h0KZtOjsK/qrYuM5riplvXpB374KxCIi3VmLoey2224jJCSE\nqKgox7YVK1ZgtVqJiYkhJiaG7du3O25buXIlNpuNcePGsXPnTsf2/fv3ExUVhc1mY8mSJY7tNTU1\nzJs3D5vNRlxcHEeOHHHctn79eiIiIoiIiGDDhg3tHqy0TeOF/n36wJkzUFfXuX3qrlxVykBTmCIi\n3V2LoezWW28lMzOzyTaLxcK9997LgQMHOHDgAFdddRUAubm5bN68mdzcXDIzM1m8eDGGYQCwaNEi\nMjIyyMvLIy8vz3HMjIwMgoKCyMvL45577mHp0qUAlJWV8fDDD5OTk0NOTg7p6elUVFR06ODFPY2n\nLy0W8/vq6s7tU3flqlIGCmUiIt1di6Fs6tSpDB069Jzt9rDV2NatW0lJScHf35+wsDDCw8PJzs6m\npKSEEydOEBsbC8CCBQt4+eWXAdi2bRupqakAzJkzh927dwOwY8cOkpKSCAgIICAggMTExHPCoXhH\n41AGWlfmKWfOgGFA797Ob1coExHp3vzauuPatWvZsGEDkydP5rHHHiMgIIDi4mLi4uIc97FarRQV\nFeHv74/VanVsDw0NpaioCICioiJGjRpldsbPjyFDhlBaWkpxcXGTfezHcmbFihWO7+Pj44mPj2/r\nsOQsdXVmUPD3/2ab1pV5hr1KZrE4v12hTESk68nKyiIrK8ut+7YplC1atIiHHnoIgGXLlnHfffeR\nkZHRlkN1iMahTDpW4/Vkdroshmc0t54MFMpERLqis4tF6enpLu/bprMvg4ODsVgsWCwWbr/9dnJy\ncgCzAlZQUOC4X2FhIVarldDQUAoLC8/Zbt/n6NGjANTX11NZWUlQUNA5xyooKGhSORPvOHvqEhTK\nPKW59WSgUCYi0t21KZSVlJQ4vn/ppZccZ2YmJyezadMmamtryc/PJy8vj9jYWIYPH87gwYPJzs7G\nMAw2btzI7NmzHfusX78egC1btpCQkABAUlISO3fupKKigvLycnbt2sWMGTPaNVhpPWehTGvKPEOV\nMhGRnq3F6cuUlBTeeustvvzyS0aNGkV6ejpZWVkcPHgQi8XC6NGjeeKJJwCIjIxk7ty5REZG4ufn\nx7p167B8vUBm3bp1LFy4kOrqambNmsXMmTMBSEtLY/78+dhsNoKCgti0aRMAgYGBLFu2jEsvvRSA\n5cuXExAQ4JEHQVxzVSlTOOh4rj6M3G7gQD3uIiLdmcVwdhplF2KxWJyeCSodIycHfvQj+Mc/vtl2\n443m19y5ndev7ig3F+bMgY8/dn773XfD2LHQ6DJ/IiLSxTSXW3RFf2mWFvp7j6YvRUR6NoUyaZbW\nlHmPFvqLiPRsCmXSLK0p8x5VykREejaFMmmWLonhPaqUiYj0bApl0qyqKujXr+k2hTLPUKVMRKRn\nUyiTZjlb6K81ZZ6hSpmISM+mUCbN0poy71GlTESkZ1Mok2ZpTZn3qFImItKzKZRJsxTKvEeVMhGR\nnk2hTJpVXX3uQn+tKfMMVcpERHo2hTJpltaUeY87lbKTJ73XHxER8S6FMmmWpi+9p6UPJFelTESk\ne1Mok2YplHlPTU3LlbKqKnDxObYiItLFKZRJs5xdPFZryjyjpUpZ795maKuu9l6fRETEexTKpFnO\nLh6rNWWe0VKlDDSFKSLSnSmUSbM0fek9LS30B4UyEZHuTKFMmuUslPXpA2fOQF1d5/Spu2rpkhig\nUCYi0p0plEmznIUyi8UMB1rb1LFUKRMR6dkUyqRZzi4eC1pX5gmqlImI9GwKZdIsZ5Uy0LoyT1Cl\nTESkZ1MoE5fq680vZ0FBoazjqVImItKzKZSJS/bLYVgs596ma5V1PFXKRER6NoUyccnV1CVoTZkn\nqFImItKztRjKbrvtNkJCQoiKinJsKysrIzExkYiICJKSkqioqHDctnLlSmw2G+PGjWPnzp2O7fv3\n7ycqKgqbzcaSJUsc22tqapg3bx42m424uDiOHDniuG39+vVEREQQERHBhg0b2j1YX/DarteYcesM\n4hfGM+PWGby267XO7pJL9kX+zvrcFaYvu9JjDd9Uyprrty+Hsq72eNt1xX53xT6D+u1tXbHfXbHP\n0HH99mvpDrfeeit33XUXCxYscGxbtWoViYmJPPDAAzzyyCOsWrWKVatWkZuby+bNm8nNzaWoqIjp\n06eTl5eHxWJh0aJFZGRkEBsby6xZs8jMzGTmzJlkZGQQFBREXl4emzdvZunSpWzatImysjIefvhh\n9u/fD8All1xCcnIyAQEBbRqoL3ht12ss+cMSDsUccmw79Afz+6sTr+6sbrlUVQVnejvv8/BqqKry\nvT7bdbXHGsxQ9o8PX+MPO133e+BA3wxlXfHxhq7Z767YZ1C/va0r9rsr9hk6tt8tVsqmTp3K0KFD\nm2zbtm0bqampAKSmpvLyyy8DsHXrVlJSUvD39ycsLIzw8HCys7MpKSnhxIkTxMbGArBgwQLHPo2P\nNWfOHHbv3g3Ajh07SEpKIiAggICAABITE8nMzGzV4HzNmv+3psmTBnAo5hBrN63tpB41r6oKvurj\nvM/5J9b6ZDiw62qPNZjTly+82Xy/fbVS1hUfb+ia/e6KfQb129u6Yr+7Yp+hY/vdYqXMmePHjxMS\nEgJASEgIx48fB6C4uJi4uDjH/axWK0VFRfj7+2O1Wh3bQ0NDKSoqAqCoqIhRo0aZnfHzY8iQIZSW\nllJcXNxkH/uxnFmxYoXj+/j4eOLj49syLI+rMWqcbj995rSXe+KeqiqwnOe8z/Q57dPTl13tsQaz\nUlbfq/l++2oo64qPN3TNfnfFPoP67W1dsd9dsc/Qcr+zsrLIyspy61htCmWNWSwWLM5Oz/OixqHM\nl51ncb6Ku2/vvl7uiXuqqsDPcN7nPvT16VDW1R5rMCtlfXs1329fDWVd8fGGrtnvrthnUL+9rSv2\nuyv2GVru99nFovT0dJfHatPZlyEhIRw7dgyAkpISgoODAbMCVlBQ4LhfYWEhVquV0NBQCgsLz9lu\n3+fo0aMA1NfXU1lZSVBQ0DnHKigoaFI564ruvvluxh4Y22Tb2A/GctdNd3VSj5pXXQ22AOd9nhJ+\nl0+Hsq72WINZKbttdvP99tVQ1hUfb+ia/e6KfQb129u6Yr+7Yp+hY/vdpkpZcnIy69evZ+nSpaxf\nv57rrrvOsf3mm2/m3nvvpaioiLy8PGJjY7FYLAwePJjs7GxiY2PZuHEjd999d5NjxcXFsWXLFhIS\nEgBISkriwQcfpKKiAsMw2LVrF4888khbuusz7Av+1m5ay+kzp+nbuy933XmXzy5grKqCMdar+cXC\nc/v80QdXU1ra2T10ras91mBWyq6efjXDznfdb18NZV3x8Yau2e+u2GdQv72tK/a7K/YZOrjfRgtu\nuukmY8SIEYa/v79htVqNp556yigtLTUSEhIMm81mJCYmGuXl5Y77//rXvzbGjh1rfOtb3zIyMzMd\n299//31j4sSJxtixY4277rrLsf306dPGjTfeaISHhxtTpkwx8vPzHbc99dRTRnh4uBEeHm4888wz\nTvvnxhCkjf78Z8O4/Xbnt61ZYxg/+pF3+9PdDRpkGBUVzd9n717DuPxy7/RHREQ6XnO5xfL1Hbos\ni8VCFx+Cz1q9Gj7/3Pz3bBkZsG8fPPWU9/vVXZ13HlRWQt9mlk8cOAC33goHD3qvXyIi0nGayy26\nor+4ZP+YJWe6wsVjuxLD0McsiYj0dApl4lJVlXlFf2cUDjpWXR34+UGvFt6RetxFRLovhTJxqaXP\nvlSlrOO4UyUDhTIRke5MoUxcUijzHnc+jBzMUHbypDndKSIi3YtCmbikUOY97lbK/P2hd28zxImI\nSPeiUCYuVVdrTZm3uFspAz32IiLdlUKZuKRKmfe4WykDhTIRke5KoUxcUijzntpaVcpERHo6hTJx\nSaHMe2pqVCkTEenpFMrEpeZCWZ8+0NBgXl9L2k/TlyIiolAmLjW30N9iUbWsI2mhv4iIKJSJS81V\nykChrCOpUiYiIgpl4pJCmfeoUiYiIgpl4lJLoUzhoOOoUiYiIgpl4pR9EX9z1RtVyjqOKmUiIqJQ\nJk5VV0PfvuaCflcUyjqOKmUiIqJQJk61NHUJCmUdSZUyERFRKBOn3AllCgcdR5UyERFRKBOn3All\ngwdDZaV3+tPdtaZSNnCgQpmISHekUCZOVVe3HMpCQ6GoyDv96e5UKRMREYUycaqqyvXV/O2sVigo\n8E5/ujt9ILmIiCiUiVPuTF+OGgWFhd7pT3enDyQXERGFMnHKnVCmSlnHUaVMRETaFcrCwsK46KKL\niImJITY2FoCysjISExOJiIggKSmJiooKx/1XrlyJzWZj3Lhx7Ny507F9//79REVFYbPZWLJkiWN7\nTU0N8+bNw2azERcXx5EjR9rTXWmFr74yF5Q3xx7KDMM7ferOVCkTEZF2hTKLxUJWVhYHDhwgJycH\ngFWrVpGYmMinn35KQkICq1atAiA3N5fNmzeTm5tLZmYmixcvxvj6t/miRYvIyMggLy+PvLw8MjMz\nAcjIyCAoKIi8vDzuueceli5d2p7uSiscOQIXXtj8fYYMMS8u+9VX3ulTd6aF/iIi0u7pS+OsMsm2\nbdtITU0FIDU1lZdffhmArVu3kpKSgr+/P2FhYYSHh5OdnU1JSQknTpxwVNoWLFjg2KfxsebMmcPu\n3bvb211x0+HDEBbW/H0sFk1hdhRdPFZERPzas7PFYmH69On07t2bH/zgB9xxxx0cP36ckJAQAEJC\nQjh+/DgAxcXFxMXFOfa1Wq0UFRXh7++P1Wp1bA8NDaXo6+ssFBUVMWrUKLOjfn4MGTKEsrIyAgMD\nm/RjxYoVju/j4+OJj49vz7AEyM+HlJSW72df7D9xouf71J2pUiYi0j1lZWWRlZXl1n3bFcr27dvH\niBEj+OKLL0hMTGTcuHFNbrdYLFia+/DEDtI4lEnHcKdSBqqUdZTWVMr69PnmA+P9/T3bLxERaZ+z\ni0Xp6eku79uu6csRI0YAMGzYMK6//npycnIICQnh2LFjAJSUlBAcHAyYFbCCRr+9CwsLsVqthIaG\nUtjougr27fZ9jh49CkB9fT2VlZXnVMmk49XXmxeFveCClu+ry2J0jNZUyiwWVctERLqjNoeyqqoq\nTpw4AcCpU6fYuXMnUVFRJCcns379egDWr1/PddddB0BycjKbNm2itraW/Px88vLyiI2NZfjw4Qwe\nPJjs7GwMw2Djxo3Mnj3bsY/9WFu2bCEhIaFdgxX3FBZCSIh7IcFqVSjrCK2plIEZyk6e9Fx/RETE\n+9o8fXn8+HGuv/56wKxiff/73ycpKYnJkyczd+5cMjIyCAsL4/nnnwcgMjKSuXPnEhkZiZ+fH+vW\nrXNMba5bt46FCxdSXV3NrFmzmDlzJgBpaWnMnz8fm81GUFAQmzZtau94xQ3uTl2Cpi87SmsqZaBK\nmYhId2Qxzj59souxWCznnAEq7fP005CVBV8XKZv10Ucwdy7k5nq8W91aXBw8/jhcdpl794+Ohqee\ngosv9my/RESkYzWXW3RFfzlHfn7rK2XKxe1z8mTLn6DQmK9XytasgT/+sbN7ISLStSiUyTkOH4bR\no92775Ah5r+6gGzb1dfDoUMQHu7+Pr4cymprYeVKeP31zu6JiEjXolAm58jPdz+U2S8gq8X+bffZ\nZxAaagYtd/lyKHvpJRg0CA4c6OyeiIh0LQplco7WLPQH87IYWuzfdh991PqL7/pyKFu3Dn79a3NK\n9osvOrs3IiJdh0KZNFFTA//9r1m5cZcqZe3z0UcQFdW6fXw1lH30kVn5u+4682QEVctERNynUCZN\nHD1qBjK/VlwsRZWy9vnXv7pPpWzdOrjjDvOTBmJiFMpERFpDoUyaaM0ifztVytqnu0xffvUVbNoE\n//M/5v+jo+Hgwc7tk4hIV6JQJk20ZpG/nUJZ21VXm9XJiIjW7eeLoWzjRkhIgJEjzf+rUiYi0joK\nZdJEa65RZqfpy7b75BOw2Vr/weK+FsoMw5y6/NGPvtk2frwZOPVxUCIi7lEokyY0feldbVlPBr4X\nyt5+2wxm06Z9s83fHyIj4cMPO69fIiJdiUKZNNGWStmQIeYv5MpKj3SpW2vLejLwvVC2bh0sXmxe\nt64xTWGKiLhPoUyaaEulTBeQbbvuEMpOnYLt2+GWW869LSZGi/1FRNylUCYOVVVmtWv48Nbvq3Vl\nbdOWa5QBDBzoO6Fs1y6IjYWAgHNv07XKRETcp1AmDocPwwUXQK82vCpUKWu9igooL4cLL2z9vr5U\nKXvlFUhOdn7bRRdBbi7U1Xm3TyIiXZFCmTi0ZerSTqGs9f79b3MhfFtCsK+EsjNn4NVX4dprnd8+\ncKAZ9D/+2Lv9EhHpihTKxKEti/ztNH3Zem2dugTfCWU5ORAc3HyY12J/ERH3KJSJQ1suHGunSlnr\ntXWRP/hOKHvlFddVMjst9hcRcY9CmTi0Z/pSlbLWa+s1ysB3Qtm2ba7Xk9lpsb+IiHsUysShPdOX\nqpS1jmG0r1LWt6+5eP7MmY7tV2t8/jl8+aV55mVz7JUyw/BOv0REuiqFMnFoT6XMfgHZr77q0C51\nW8ePm9d3Cwlp2/4WC/Tv37nVsldegauvbvlEhWHDzAX/+fne6ZeINNXQALW15s+LysrO/WNOmqdQ\n1oUYBvzmN/DQQx1/iYGvvoKaGjj//Lbtb7+ArKYw3WOvkp19BfzW6OwpTHemLu202F/E+44fh3Hj\noHdv8+fFsGEQGgqJiWZIE9+jUNZF1NbCwoWwdSv84x/wne+Yla2OYp+6bE9I0BSm+9qznsyuM0NZ\nRYX5Opw+3b37K5SJeNepU3DNNXDTTWalrK7umwuEDx4MixZpSYEv8vlQlpmZybhx47DZbDzyyCOd\n3R2ysrK83l5lJVx1lflm2rMHXnsNbrjBXMvzwgsd04596rI942vLYn9vPp6d8dy50p7LYdgNGAAn\nT7rXXkfLzIQJE7IYMMC9+3fEGZi+9Pz5WnvHjrX+F2xXGp+vt+drY6uvN8NYVBQsX970j+3eveHZ\nZ+GDD+B3v+uY9jpad2+vOT4dys6cOcOdd95JZmYmubm5/PWvf+XjTr4KpbefvG3bsrjiCvMioy++\naK4j6tUL7rsPXn8dfvYzuPVW+PTT9rVjr5S1Z3xtqZT11B+c7Vnkb3d2pcyb49u2Dc4/3/32pkyB\nd9+FO+9s+xS3Lz1/vtBeQ4P5M+C734UxY2D8eHj0UTOgeaK99urO7fnS2AwD7r7bXI7yxBPOZz8G\nDjTXhK5eDS+/3L72PKG7t9ccv87uQHNycnIIDw8n7OtTAm+66Sa2bt3K+PHjO7djrXDiBPzzn+Zf\nJf/+t7mtXz/zq29fGDECbDbza+RI8/Z//9usiL35JuzYAb/6Fdx777lvrsmTzeOuWgVXXAEXXwx3\n3WVW1Vp7lXj7Ncras1B/1CjIzm7bvmVl5rg/+gg++cTcNmjQN1/BwTB2rPk1eLB7x2xogC++gJIS\nKC6GDz+El14yP6Nx6FDzKyDAPF57pm1bq6HB/OihCRPad5yAAPjFL8zn+7LLzL+OvaG62qyU3Xqr\n+/uMHGle1f93v4NJk2DePPjpT9v2EVM9iWGYU06nTsHp0+Yv2tOnzanjxx6DPn3gJz8xn49//AMy\nMsw1RPHx5kkYF11khn93K5rS9f32t/DOO/D22+Dv7/p+Vqv583DWLPNTNy6+2Ht9FNd8OpQVFRUx\natQox/+tVivZTn7rX3PNN6V7T/97+LAZls7e7uy+paVm5WjiRPMFP2mSGZaqq7/5ys42S8l5eWYg\n6tvXDAvf/a5Zfg4PN6tirgwe/M3i/82bzVL1nXeaAauhwexLQ8M3X67+f+QIrF/fvnU/Y8eaf6G9\n9ZYZpAYONH8ZNDSYgaG+3lzX0PjfY8fMv+ZOnTJDysSJ5l/8FosZaEtLzcf82DE4dMj86t/fDIB+\nX7967YGqpsZ8TKuqzH+/+so8K3TECDMUFBebYywv/+ZzJysqzPsPGWKGnEGDzPJ+r17mv42/t/9r\nGObZS2fOmGNw9j2Yl4t48UWzf716mf9aLObjERRkttkeGzaYr8V33jFfIwcPwvPPmz+I/fzML2ff\n2xmG+1+nTpnPRWmpGQpmzTIfq9YIDjYrOfffD48/bk5p+vubwcLVV+NfKocOmWM9W0vTdu5M6zm7\nT34+7N3b/uO4e/vhw5CVZb5+ysvNP1TKyszXzMCB5s8G+9fo0bBmjflzwv76//a3za/Vq81lDXv3\nwp/+ZIbh0FDz/dmr1zd9+OwzeO+9c/vlzs+2tmw7cgR27246Znvf7e8NZ9+3dLuz78H8mfqPf+AV\n3myrcXuGYf6sKysz35tlZebPu7ffdu+P10svhT/+EaZNM9+f/fubX/36Nf1Z8fnn8Pe/m987+wPW\n1R+1zrY3fo00/rJvq683X5vPPmsuzzh50vy527cvnHee+XX29336uB5jc+85+22HDpmV/Nbu1xxn\nr+HG/7rczzB8d6nfiy++SGZmJk8++SQAzz77LNnZ2axdu9ZxH4s3SxwiIiIi7eQqevl0pSw0NJSC\nRgtQCgoKsFqtTe7jw5lSRERExG0+vdB/8uTJ5OXlcfjwYWpra9m8eTPJ7l4YSURERKQL8elKmZ+f\nH//3f//HjBkzOHPmDGlpaV1qkb+IiIiIu3y6UgZw1VVX8Z///IfPPvuMn/3sZ47t3rh+WVhYGBdd\ndBExMTHEfv0Bf2VlZSQmJhIREUFSUhIVFRVtPv5tt91GSEgIUY0uWNXc8VeuXInNZmPcuHHs3Lmz\nQ9pbsWIFVquVmJgYYmJi2L59e4e1V1BQwJVXXsmECROYOHEia9as8egYXbXnqTGePn2aKVOmEB0d\nTWRkpOP16YnxuWrLk88fmJeliYmJ4dprr/XY2Jprz5Pja+372xPteXJ8FRUV3HDDDYwfP57IyEiy\ns7M9Or6z23vvvfc8Nr7//Oc/jmPGxMQwZMgQ1qxZ47HxOWtv9erVHhvfypUrmTBhAlFRUdx8883U\n1NR49Llz1p4nX5urV68mKiqKiRMnsnr1asCz7z1n7Xn6Z2ebGV1QfX29MXbsWCM/P9+ora01Jk2a\nZOTm5nZ4O2FhYUZpaWmTbffff7/xyCOPGIZhGKtWrTKWLl3a5uO//fbbxgcffGBMnDixxeP/+9//\nNiZNmmTU1tYa+fn5xtixY40zZ860u70VK1YYjz322Dn37Yj2SkpKjAMHDhiGYRgnTpwwIiIijNzc\nXI+N0VV7nhzjqVOnDMMwjLq6OmPKlCnG3r17PTY+Z215cmyGYRiPPfaYcfPNNxvXXnutYRiefX06\na8+T42vN+9tT7XlyfAsWLDAyMjIMwzBfMxUVFR4dn7P2PP36NAzDOHPmjDF8+HDj6NGjHn99nt2e\nJ8aXn59vjB492jh9+rRhGIYxd+5c45lnnvHY2Fy156nn7l//+pcxceJEo7q62qivrzemT59ufPbZ\nZx4bn6v2vPHabAufr5Q50/j6Zf7+/o7rl3mCcdaJBNu2bSM1NRWA1NRUXnbnynsuTJ06laFDh7p1\n/K1bt5KSkoK/vz9hYWGEh4eTk5PT7vbA+ckSHdHe8OHDiY6OBmDgwIGMHz+eoqIij43RVXueHGP/\n/v0BqK2t5cyZMwwdOtRj43PWlifHVlhYyOuvv87tt9/uaMOTr09n7RmG4bHx2Y/fmCfH56w9V9va\n215lZSV79+7ltttuA8ylIEOGDPHY+Fy156nxNfbGG28QHh7OqFGjPP78nd2eJ16fgwcPxt/fn6qq\nKurr66mqqmLkyJEeG5uz9kJDQwHPPHeffPIJU6ZMoW/fvvTu3Ztp06bx4osvemx8ztr729/+5rHx\ntVeXDGXOrl9m/+XbkSwWC9OnT2fy5MmOy3IcP36ckJAQAEJCQjh+/HiHtunq+MXFxU3OPO3IMa9d\nu5ZJkyaRlpbmKBl3dHuHDx/mwIEDTJkyxStjtLcXFxcHeG6MDQ0NREdHExIS4pg69dT4nLXlybHd\nc889/Pa3v6VXoysRe/K5c9aexWLx2Pha8/72VHvgmecvPz+fYcOGceutt3LxxRdzxx13cOrUKY+N\nz4KVj64AAApxSURBVFl7VVVVHhtfY5s2bSIlJQXwzs/Pxu154vUZGBjIfffdxwUXXMDIkSMJCAgg\nMTHRY2Nz1t70rz/U1hPP3cSJE9m7dy9lZWVUVVXx+uuvU1hY6LHxOWvPflUHb/zua60uGcq8dW2y\nffv2ceDAAbZv384f/vAH9ja+kuTX/fBkX1o6fke0vWjRIvLz8zl48CAjRozgvmauVNvW9k6ePMmc\nOXNYvXo1g8664qgnxnjy5EluuOEGVq9ezcCBAz06xl69enHw4EEKCwt5++232bNnzznH66jxnd1W\nVlaWx8b26quvEhwcTExMjMvLznTk2Fy158nnrr3v745oz1Pjq6+v54MPPmDx4sV88MEHDBgwgFWr\nVp1zvI4an6v2Fi9e7NGfL7W1tbzyyivceOONTo/X0T9bzm7PE8/foUOH+P3vf8/hw4cpLi7m5MmT\nPPvss+ccq6PG5qy95557zmOvzXHjxrF06VKSkpK46qqriI6Opnfv3uccr6PG56o9T78226pLhjJ3\nrl/WEUaMGAHAsGHDuP7668nJySEkJIRjX3+4XElJCcHBwR3apqvjnz3mwsJCR4m5PYKDgx1vgNtv\nv91Rpu2o9urq6pgzZw7z58/nuuuuAzw7Rnt7t9xyi6M9T48RYMiQIVx99dXs37/f48+hva3333/f\nY2N755132LZtG6NHjyYlJYU333yT+fPne2xsztpbsGCBR5+71ry/PdWep8ZntVqxWq1ceumlANxw\nww188MEHDB8+3CPjc9XesGHDPPre2759O5dccgnDhg0DPP/z8+z2PPH8vf/++1x++eUEBQXh5+fH\n9773Pd59912PPXfO2nvnnXc8+t677bbbeP/993nrrbcYOnQoERERHn3uGrcXEBDAt771LY+/NtvM\na6vXOlBdXZ0xZswYIz8/36ipqfHIQv9Tp04ZX331lWEYhnHy5Enj8ssvN3bs2GHcf//9xqpVqwzD\nMIyVK1e2a6G/YZiLLM9e6O/s+PbFhzU1Ncbnn39ujBkzxmhoaGh3e8XFxY7v//d//9dISUnpsPYa\nGhqM+fPnGz/+8Y+bbPfUGF2156kxfvHFF0Z5eblhGIZRVVVlTJ061XjjjTc8Mj5XbZWUlHhkbI1l\nZWUZ11xzjWEYnn99nt2ep5671r6/PdWeJ5+/qVOnGv/5z38MwzCM5cuXG/fff79Hn7+z23vggQc8\n/vqcN2+e8cwzzzj+7+nX59nteeL1efDgQWPChAlGVVWV0dDQYCxYsMD4v//7P4+NzVV7nnzujh8/\nbhiGYRw5csQYN26c4yQUTz13Z7dXWVnp0d997dElQ5lhGMbrr79uREREGGPHjjV+85vfdPjxP//8\nc2PSpEnGpEmTjAkTJjjaKC0tNRISEgybzWYkJiY6flG2xU033WSMGDHC8Pf3N6xWq/HUU081e/xf\n//rXxtixY41vfetbRmZmZrvby8jIMObPn29ERUUZF110kTF79mzj2LFjHdbe3r17DYvFYkyaNMmI\njo42oqOjje3bt3tsjM7ae/311z02xg8//NCIiYkxJk2aZERFRRmPPvqoYRjNv0ba2p6rtjz5/Nll\nZWU5zob05OvTbs+ePY72brnlFo+Mry3vb0+058nn7+DBg8bkyZONiy66yLj++uuNiooKjz5/Z7dX\nXl7u0fGdPHnSCAoKcoRdw/Ds69NZe54a3yOPPGJERkYaEydONBYsWGDU1tZ6dGxnt1dTU+PR527q\n1KlGZGSkMWnSJOPNN980DMOzz52z9rzxs7MtfPqzL0VERER6ii65pkxERESku1EoExEREfEBCmUi\nIiIiPkChTERERMQHKJSJiE9Ys2YNkZGRzJ8/v7O70qF+8pOf8NZbbwEQHx/P/v37HbcdPnyYqKgo\nl/seP36cWbNmebyPIuIbFMpExCf88Y9/5I033mDjxo1NttfX13dSj9rvxIkTvP3220ybNg1o/aeA\nhISEMHToUD744ANPdVFEfIhCmYh0uh/+8Id8/vnnzJw5k9///vekp6czf/58rrjiClJTU/nyyy+5\n4YYbiI2NJTY2lnfeeQeA0tJSkpKSmDhxInfccQdhYWGUlZWdU4H63e9+R3p6OmB+rMxVV13F5MmT\n+c53vsN//vMfABYuXMiSJUv49re/zdixY3nxxRcd+z/yyCNcdNFFREdH8+D/b+9+QiH/4ziOP0cY\nK/Ln4GalXPwpBrnYpkYZVpoSLlyQtNzU5rDJrlxxkC20mhNKWyKR8i//yr9EQqn158I6oJA/B/M7\naL5hx7a7/drf8Hs9Tt/P9/Od9/vz/Z7efec98/nwgW/fvpGSkmLMb29vPxi79ff3G/sIuj31L0Tl\n5eVYLBYsFgsRERE0NDQA4HA46Onp+ZPHKiLPjO9/vQARkba2NkZGRpicnCQ8PJxPnz6xtbXFzMwM\nZrOZoqIiqqurSU9PZ39/n+zsbDY2Nqivr8dqtVJbW8vQ0BCdnZ0e499/Q1VRUUF7ezsxMTHMz89T\nVVXF2NgYAIeHh8zOzrK5uYnD4SA/P5/h4WEGBgZYWFggICCA09NTQkNDCQkJYXV1lcTERJxOJ2Vl\nZT/knZ2dJTMz0xi7XC6Ki4t59eoVcLeXonvfvy9fvgCwt7fH27dvKSkpASAtLY3m5uZ/50GLiFdT\nUSYiXsdkMuFwODCbzQCMjo6yublpzJ+dnXFxccH09DR9fX0A5OTkEBYW9mRMl8vFxcUFc3NzDzaw\nvrm5MXK690uNjY3l+/fvRu6ysjICAgIACA0NBe7ebDmdTpqbm+nt7WVxcfGHnHt7e8ael+4c3d3d\nJCcnG/O5ubnG/NXVFYWFhbS2thIZGQnc7Zm5u7v7K49NRJ45FWUi4pUCAwONY5fLxfz8PP7+/j9c\n5+nrQF9fX25vb43x5eUlJpOJ29tbwsLCWFlZ8Zjzfnx3XJPJ5DFHfn4+9fX1ZGRkkJqa+mRBeH8d\nj9f7OO67d+8oKCggIyPjwTW/04cmIs+XespExOvZ7XZaWlqM8erqKgBWq5Xu7m4AhoeHOTk5Ae4a\n5I+Ojjg+Pub6+prBwUEAgoODiY6O5uvXr8BdwbO2tvbT3JmZmTidTi4vLwGMHGazmaysLCorKykt\nLfX42aioKA4PDx+ce6rA+vz5M+fn59TU1Dw4f3BwQFRU1E/XKCIvg4oyEfEKj4uV++OWlhaWlpZI\nTEwkPj6e9vZ2AD5+/MjU1BQJCQn09fXx+vVrAPz8/KirqyMtLQ273U5cXJwRq6uri87OTpKSkkhI\nSGBgYMBjTvdxVlYWDoeD1NRULBYLTU1NxjVFRUX4+Phgt9s93tObN29YWlr6pftuampifX3daPbv\n6OgAYGFhAavV+tMYIvIyaENyEXkxoqOjWV5eJjw8/K/ka2xs5OzszPhl52Pn5+fYbDaP/Wa/qri4\nmPfv32OxWP44hog8D+opE5EX42/2XuXl5bGzs8P4+PiT1wQFBWGz2ZiYmMBms/12jqOjI05PT1WQ\nifxP6E2ZiIiIiBdQT5mIiIiIF1BRJiIiIuIFVJSJiIiIeAEVZSIiIiJeQEWZiIiIiBdQUSYiIiLi\nBf4BfE3o2UEvXp8AAAAASUVORK5CYII=\n"
      }
     ],
     "prompt_number": 119
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Apparently, this the 4th harmonic, with a theoric frequency of $4 * 82.5 = 330$ Hertz."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "argmax(freqs >= 330)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 120,
       "text": [
        "43"
       ]
      }
     ],
     "prompt_number": 120
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "argmax(freqs >= 2* 82.5)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 122,
       "text": [
        "22"
       ]
      }
     ],
     "prompt_number": 122
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot(Pxx[22, :], label='2nd harmonic')\n",
      "plot(Pxx[43, :], label='4th harmonic')\n",
      "legend()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 124,
       "text": [
        "<matplotlib.legend.Legend at 0xf42c610>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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MHjwY0FoY5eXl7vsqKiowm82YTCYqKirOSm975siRI8TExOBwOGhoaMBoNGIy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\nw5SMFRGGYRimZH8CLRH4y3H3qd4AAAAASUVORK5CYII=\n"
      }
     ],
     "prompt_number": 124
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Clearly, they show different decay profiles. Let's build a function that allows us to compare the decay."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def plot_decay(harmonic):\n",
      "    ind = argmax(freqs >= harmonic* 82.5)\n",
      "    decay = Pxx[ind, :]\n",
      "    decay = decay / max(decay)\n",
      "    label = \"harmonic %s\" % harmonic\n",
      "    plot(bins, decay, label=label)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 140
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot_decay(2)\n",
      "plot_decay(4)\n",
      "plot_decay(5)\n",
      "plot_decay(7)\n",
      "plot_decay(10)\n",
      "legend()\n",
      "xlabel(\"time (s)\")\n",
      "xlim(0, 8)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 143,
       "text": [
        "(0, 8)"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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aenuDd2EAPr7dSUn9yGWOWj1yJyYTTJgAP/4ohVzSZmiMALuT87HVW3X4+vqS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\nQ25iYmJyi/N/hMgwNvhLYloAAAAASUVORK5CYII=\n"
      }
     ],
     "prompt_number": 143
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Let's plot the same curve than previously but with the exponential decay calculated in the previous step."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "p1"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 157,
       "text": [
        "array([  9.15646841e+11,   2.16959692e+00])"
       ]
      }
     ],
     "prompt_number": 157
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "p2 = array([1., 1.])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 158
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "normed_fitfunc = lambda p, x: fitfunc(p, x) / p[0]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 155
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "figure(figsize=(16, 4))\n",
      "fit_values = normed_fitfunc(p1, bins)\n",
      "plot(bins+0.75, fit_values, label='exp decay t=2.17 s')\n",
      "plot(bins+0.75, normed_fitfunc(p2, bins), label='exp decay t=1 s')\n",
      "plot_decay(2)\n",
      "plot_decay(4)\n",
      "plot_decay(5)\n",
      "plot_decay(7)\n",
      "plot_decay(10)\n",
      "plot_decay(20)\n",
      "legend()\n",
      "xlabel(\"time (s)\")\n",
      "xlim(0, 8)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 162,
       "text": [
        "(0, 8)"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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srCweeeQR4uPjadKkCbNnz656z0XF7HaKlXpQWPC2eaHyVrgXIbJatZSU5HkU\nN5uPotfHEhTUlUjnIfYVFQHwyCPw009Qlf9vCh0QSq11tQjxDuGg8qBkQIUQQgghxA11KwTUxcXF\nTJ8+nZEjR97srtyyLhmAOhwOXnzxRVatWsWBAwdYtGhRuRVSp02bRvPmzdm9ezcbNmzglVdeoaSk\n5Lp2+rZnt1Os1ALm0gDUV+Eegmu1arHZTnsULw1A66PVRuPjyGD/uQC0SRMoKYGqLGprvN+I0+zk\nk6hPWJq5lH37990S/ycghBBCCCFuDwqFosLFe2qK1atXExoaSnh4OIMGDbrZ3bllXTIA3bFjB7Gx\nscTExODl5cWAAQPcG7GeFx4eTkFB6aI4BQUFBAUFVbgXjqgGu51idLhcxeitXqh9lWA2o9OBxeKF\nzZbuLupyOTGbj6PX10eniwZ7CkeKi7E7nSgU0L07rFhx+SYVCgXhz4ajWqTilU6vYLKZOH369OUf\nFEIIIYQQ4hqYNWsW77///s3uRqW6dOmCyWTiu+++89jeRVTPJSPFtLQ0j8m8kZGRbN++3aPMiBEj\n6NixIxERERQWFvL1119XWt/48ePdP7dv35727dtfWa9vdzYbZoUWl8uM3qJDZVSXGYKrxm7PxuUq\nQaFQY7NloFb7oVL54nK5UKAgTmvjkNlMEx8funeHqVPhtdcu32z4s+HsaLSDMZPHMClsEp+t/IyJ\nw2v2GHwhhBBCCCHEzbFhwwY2bNhQrWcuGYBWJQU+adIk4uPj2bBhA8eOHaNTp07s2bMHg8FQrmzZ\nAFRcgt1OkUuH02VGZ/ZF7aeG3NIhuGazAi+vIGy2M2i1td3Db6H0+9Lp6nC/ppDEwkKa+PjQsSMM\nGgR5eeDvf+lmNWEaAh8JJGdBDl0SuvDv5f/mlcGv4K+7zINCCCGEEEKIO87FScUJEyZc9plL5o5r\n167tscFrSkoKkZGRHmW2bt1Kv379AKhfvz5169bl0KFD1em3uJjdjtmlxeU0oytSo/L3cs8BNZtB\no4nAZssALixAdJ5WG00bfSGrcnIA8PGBNm1gzZqqNR3xfATpn6XTsWVHIoojeGvdW9f89YQQQggh\nhBB3pksGoC1atODIkSOcPHkSm83GkiVL6NWrl0eZuLg41q5dC8CZM2c4dOgQ9erVu349vhPY7Zid\nGpzOYryK1Kj9te4huGYzeHmFY7VWHIDqdNHEa/NYlZNDyblFhLp3h5Urq9a0Xxs/UEATfRNIhe8P\nfs/WlK1MS9DxAAAgAElEQVTX/BWFEEIIIYQQd55LBqBqtZpp06bRpUsXGjduzBNPPEGjRo2YMWMG\nM2bMAGDs2LHs3LmTZs2a8fDDD/PBBx8QGBh4Qzp/27LbMTu1OJ3FaEwqVIFaMJtRq0GhAJUqyr0Q\nkdl8DJ2uvvtRrTYaXUk60Tod284tDtW9e+l2LE7n5ZtWKBSEDQsjeHMwaSlpTGg5gZE/jsTmsF2X\nVxVCCCGEEELcOS67XG3Xrl3p2rWrx7VRo0a5fw4ODubHH3+89j27k9ntmB0aXI5ivPBCaaQ09Qno\n9eB0RpUZgnvEPQcUSjOg2dl76R4UxPLsbNr4+VG3LgQFwc6d0LLl5ZsPeyqM5EbJJLRKIDgrmBj/\nGCZvmsx77d+7Hm8rhBBCCCFuIzExMfz3v//loYceutldqZYFCxYwd+5cVq9efbO7cluT9YNrIrud\nIpsGhdKC2s8LhbceLBagNAB1uSKxWtNxOu0UFx/Cx6ex+1GtNhqLJZke5wLQ83r0qNp2LFC6GJFf\nWz/u8buHTZs28Z8e/2Ha79PYe2bvNX1NIYQQQghx+6np+3lWZvDgwVcUfH744Yc0bdoUo9FIvXr1\n+Oc//3kdenf7kAC0JrLbKSrRoFRZURtVuCd/UvqjwxGOzZaB2XwIrTYKlcrX/ahOF43Vmsx9BgN5\nJSVsyc8Hqr4f6Hnhw8JpeKQhGzduJNIYyeSHJjPs+2GUOEuu6asKIYQQQghREZfLhevcmiY13bx5\n88jLy2PVqlVMmzaNJUuW3Owu1VgSgNZEdjvFVg1KlQW1UQ06nTsA1elKA1CrNZ3CwkQMhuYej5au\nkHsGhauET2JjGX7oEBankwcegOPHISOjal0I7B5ITEYMhw4eIj8/n+HNhxOgD2Dq1qnX+m2FEEII\nIcRtJjExkWbNmuHv78+AAQOwWq0A5OXl0aNHD0JDQwkMDKRnz56kpaW5n2vfvj3vvPMOrVu3xtfX\nl+PHj6NUKvn8889p0KABRqORcePGcezYMRISEtz12+12dx0zZ86kQYMGBAUF0bt3bzLK/AGsVCqZ\nMWMGDRs2JCAggBdffNF9b/bs2bRt29Z9npSURKdOnQgKCiIsLIzJkydX+K6vvfYa8fHxKJVKGjZs\nSO/evdmyZcs1+yxvNxKA1kR2O0U2LUqVHS+jujTtWWYIrtMZis2Wgcm0G1/feI9HlUovNJowbLZ0\n+oaE0MTHh/EnT+LlBV26wPLlVeuC0ktJ1FNRNA1uyubNm1EoFMzsOZMPt37IwayD1/qNhRBCCCHE\nbcLlcrF06VJWr17NiRMn2Lt3L7NnzwbA6XQyfPhwkpOTSU5ORq/XewSBAPPnz+fLL7+ksLCQ6Oho\nANasWUNiYiLbtm1jypQpjBgxgkWLFpGcnMy+fftYtGgRAOvXr2fs2LEsXbqUjIwM6tSpw4ABAzzq\nX7FiBTt37mTv3r18/fXXFQ67LSws5OGHH6Zbt25kZGRw9OjRKs1pdblc/PrrrzRp0uRKPro7ggSg\nNZHNhtmuQaW2o6pgCK7dHoTdnonJtAtf3+blHtfpSueBAkxv0IDFZ88yMz2dRx+F//2v6t0Ifyac\nlvktWbxoMQAx/jFMaD+BYd8Pw+F0XP17CiGEEEKI60OhuDbHFTWt4G9/+xthYWEEBATQs2dPdu/e\nDUBgYCB9+vRBp9Ph6+vL2LFj2bhxo8ezQ4cOpVGjRiiVSry8vAB4/fXX8fX1pXHjxjRt2pSuXbsS\nExOD0Wika9euJCYmAqULCQ0fPpz4+Hg0Gg2TJ0/mt99+Izk52d3Gm2++idFoJCoqig4dOrj7Vtby\n5cuJiIhgzJgxaDQafH19aVmF1TzHjx8PwDPPPHNFn92dQALQmshux2zTolbZyg3B1evBalWjVgeS\nn7+1XAYUQKuNwmo9BUAtjYa1zZox/uRJnAlZbNoE53ZnuSyfJj70qteLH777gZycHABGxI2g2a5m\nzP1gLi7HrTEmXwghhBDijuNyXZvjCoWFhbl/1uv1mEwmAIqLixk1ahQxMTH4+fnRrl078vPzPeZ6\nRkVFlauvVq1aHvWVPdfpdBQVFQG4s57n+fj4EBQU5DHMt2zfvL293c+WlZKSQr169ar1ztOmTWP+\n/PmsWLHCHTiL8iQArYnsdiw2LV4qByqDqtwQXLMZtNpwvLyC0WhqlXu8NAC98I8sVq/n0wYN+G9u\nGq1bw6pVVe/KfZ/dR0tHS2a8MYPjY4+zPWo7Qw4Nwfa5jS1xW8hclnnLTA4XQgghhBA319SpUzl8\n+DA7duwgPz+fjRs3lltsqLor6JYtHxERwcmTJ93nRUVFZGdnU7t27WrVGR0dzfHjx6tc/quvvuKD\nDz5g3bp1REREVKutO40EoDWR3Y7NrsVLVXIhA2q1gsvlToZqNBEVZj8BtNpIrNZUj2udAwPZUVBA\nl8dKqjUM13i/kZc/fJmZX83EfNJMyz9bkrAuActiC1/0/IIT758gsXUih58/zIl3T5DyrxTMx81X\n8/ZCCCGEEOI2ZTKZ0Ov1+Pn5kZOTw4QJE8qVqUpyo2yZsgHswIEDmTVrFnv27MFqtTJ27Fjuv/9+\n91zSiuqpqL3u3buTkZHBJ598gtVqpbCwkB07dlRYx4IFC3j77bdZs2YNMTExl+37nU4C0JrIbsdq\n16JROVD6KEvH32s0YLG4k6FabUSF8z+h4gDUV6UiwWjE0D6Xn34Cm63q3en2Yje0DbRkjsxEG6EF\n4K/3/5XUZqms//d6ol+PxucvPig0Cor2FbGv2z4cxTJHVAghhBBCeO4L+vLLL2M2mwkODuaBBx6g\na9eu5TKelzu/+FrZ+h966CEmTpxI3759iYiI4MSJEyxevPiSdZ+/VvZng8HAzz//zI8//kh4eDgN\nGzZkw4YNFb7fu+++S05ODvfddx8GgwGDwcDzzz9flY/mjqRw3aDxkwqFQoZqVtUTT2BYMY2wwP6s\ne34O0W9GQ0AAHD/OiNcDuO8+ePLJQ6hUvmi15YcTFBTs4MiR57n33p0e1z9NTSXRZOLgsDjGj4fO\nnavepZkzZ/K///2PFWU2E03OT+beL+5l7VNraRbWzH39wOADeAV60eDTBtV+dSGEEEIIcXnyt7W4\nmSr7/avK76VkQGsiux27XYdW6USpO/cVnZv8eX4OqLf3XRUGn1BxBhSge1AQK3Ny6PWoi+++q16X\nnnrqKf744w+SkpLc16L9ovlnp3/y1HdPYS2xuq83mNaArP9lkf9bfvUaEUIIIYQQQtzWJACtiex2\nbHY9WiUXAtBzkz/L7MhSKY2mFnZ7Dk6n5zjbeno9AWo1DbuZ+P57cDqr3iWdTseLL77IP//5T4/r\nQ5oNoX5gfd7b8J77mleAF1GvR5E6tXwQLIQQQgghhLhzSQBaA9mtpZGhFjUK7blx6ucmf5bZkaVS\nCoUKjSYMmy293L3mvr4UBRfh7w+//169fo0cOZJvv/0WW5kJpAqFgi96fMGcPXPYnLzZfT38mXDy\nNuRhPiELEgkhhBBCCCFKSQBaA5ktCtRqMzqXrsIhuOd2ZLmk0q1YymcgY3Q6TlmtPPoo1R6GGxIS\nwl133cXWrVs9r/uE8J/u/+Hp/z2NyVa6x5PKV0XYsDDS/p1WUVVCCCGEEEKIO5AEoDWQ2apErTaj\nKRuAVmMILlQ+D7SOTsdJi4XHHoNvvqn+/sJdunRh9erV5a73jutNuzrteHnVy+5rtf9am9NzT2NN\ns5YrL4QQQgghhLjzSABaAxXblKhUZrTOizKg57ZhuZoANEan45TFwr33gsMBu3dXr2+VBaAAnzzy\nCRtPbWRp0lIAdFE6aj9fm6MvH61eI0IIIYQQQojbkgSgNVBxiRKlyozOqb1uGVCFAvr3h6VLq9e3\nVq1aceLECc6cOVPunkFrYOFjC3lh5Qsk5ycDED02GtNuE9krsqvXkBBCCCGEEOK2IwFoDVTkUKJU\nmtE4vcrNAdXpqjoHNBKLJaXc9TpaLSlWK06Xi/794euvqzcM18vLiw4dOvDzzz9XeP++2vfx6gOv\nMvjbwZQ4S1DpVTT8oiGHhh+i+GBx1RsSQgghhBBC3HYkAK2BzC4lSoXVMwN6LgD19obiKsRxlWVA\n9SoVfioVp202mjcvDT4TE6vXv44dO/Lrr79Wev/VB15Fq9IyadMkAAI6BFDvg3rs6bIHS0oVomch\nhBBCCHHLiomJYd26dTe7G9W2YMECunTpcrO7cduTALQGsriUoLShcag9h+BaLHh7VzAE1+WCI0c8\nLlUWgMKFeaBXOgy3SZMm/Pnnn5XeVyqUzO0zl89+/4wtyVsACBsSRtjTYRx/7Xj1GhNCCCGEELcU\nhUKBQqG42d2otsGDB1e61klV2Gw2GjVqRFRU1DXs1e1HAtAayOJSAjZ0Tk2F27CUy4AePgzx8WC9\nsNqsRhOG3Z6J02kvV//5eaDAFQ3DbdSoEQcOHMB1iYciDBHM7DmTwd8OJs+SB0D069HkbcjDtM9U\n9caEEEIIIcQdyeVyXfLvzZrmww8/JDQ09JYMvm8kCUBrIAsqUNjQlJSfA1rhENw//yy9uG2b+5JS\n6YVGU+uSe4FCadyqVMIff1S9f6GhobhcLjIzMy9ZruddPenRsAcjfhyBy+VC5asi6rUoTk04VfXG\nhBBCCCHELScxMZFmzZrh7+/PgAEDsJ772zMvL48ePXoQGhpKYGAgPXv2JC3twr7x7du355133qF1\n69b4+vpy/PhxlEoln3/+OQ0aNMBoNDJu3DiOHTtGQkKCu367/ULSZebMmTRo0ICgoCB69+5NRkaG\n+55SqWTGjBk0bNiQgIAAXnzxRfe92bNn07ZtW/d5UlISnTp1IigoiLCwMCZPnlzp+544cYIFCxbw\n1ltv3VJB880gAWgNZHEpcbnOBaDa8kNwywWghw6BWg1r13pc1usbYjYf4WJlM6BXMgxXoVDQqFGj\nSw7DPe+fnf/J0ZyjfPb7ZwBEPBdB/pZ8ig/LgkRCCCGEELcjl8vF0qVLWb16NSdOnGDv3r3Mnj0b\nAKfTyfDhw0lOTiY5ORm9Xu8RBALMnz+fL7/8ksLCQqKjowFYs2YNiYmJbNu2jSlTpjBixAgWLVpE\ncnIy+/btY9GiRQCsX7+esWPHsnTpUjIyMqhTpw4DBgzwqH/FihXs3LmTvXv38vXXX1c47LawsJCH\nH36Ybt26kZGRwdGjR3nooYcqfee//vWvTJ48GZ1OdzUf3R1BfbM7IMqzOtW4sKGxqz0zoJmZlQeg\njz9eGoBOnOi+7O3d4FwA2tmjeIxOx/LsC9ui9O8PffrA5MmlAWlVnA9A27Vrd8lyOrWOpf2WkvDf\nBFpFtqJFRAtC+oaQ+U0mdd6qU7XGhBBCCCFEtSg2bLgm9bjat69+2woFf/vb3wgLCwOgZ8+e7D63\n+XxgYCB9+vRxlx07diwdO3b0eHbo0KE0atQIKM1YArz++uv4+vrSuHFjmjZtSteuXYmJiQGga9eu\nJCYmMmTIEBYsWMDw4cOJj48HYPLkyQQEBJCcnOwOZt98802MRiNGo5EOHTqwe/fucosPLV++nIiI\nCMaMGQOARqOhZcuWFb7vd999h8vlonfv3my4Rp/77UwC0BrI4lLjclnR2MtkQMsMwS23CNGhQzB+\nPDz2GOTng5/fuUcaUFx8uFz9ZTOgAHffDV5e8PvvUMm/q3KqmgEFiA2M5fPun9N/aX92jdxF8GPB\nHH/juASgQgghhBDXyZUEjtfS+eATQK/Xk56eDkBxcTFjxoxh9erV5ObmAmAymXC5XO65kxUt4lOr\nVi2P+sqe63Q6zp49C0BGRgYtWrRw3/Px8SEoKIi0tDR3AFq2b97e3hQVFZVrLyUlhXr16l32PYuK\ninj99df56aefLltWlJIhuDWQDRUulw0vlQaF6lxK8nJDcO++GxISoMx/dal0CK5WyymLxT0+XaGA\nwYNhwYKq97E6ASjA440fp0fDHjzz/TP4tfXDcsKCJVm2ZBFCCCGEuJNMnTqVw4cPs2PHDvLz89m4\ncWO5xYaqu4hP2fIRERGcPHnSfV5UVER2dja1a9euVp3R0dEcP3753RuOHDnCqVOnaNu2LeHh4fTt\n25eMjAzCw8NJTk6uVpt3CglAaxqXC6tLg8tlQ6stM4b8XAbUywucTnDPs87OhpISCA2Fhx6C9evd\nj5QOwS2fATWo1eiVSjLLTNYePBgWLy5T72VUNwAF+LDTh6QXpvPJzk8I6hVE1ndZ1XpeCCGEEELc\n2kwmE3q9Hj8/P3JycpgwYUK5MlVZxKdsmbIB7MCBA5k1axZ79uzBarUyduxY7r//fnf2s6J6Kmqv\ne/fuZGRk8Mknn2C1WiksLGTHjh3lyjVt2pTU1FT27NnDnj17+PLLL6lVqxZ79uwhMjLysu9xJ5IA\ntKYpKcGi1OF0WtBqtReunwtAFQo8h+EeOgR33VWaxmzcGI4edT+i09XDak3F6bSVa+b8XqDn1a8P\n9eqVW8eoUnXq1CEnJ4fCwsIqv5pWrWXJ40uYvHky2Q9mk/ntpVfRFUIIIYQQt76y+4K+/PLLmM1m\ngoODeeCBB+jatWu5jOflzi++Vrb+hx56iIkTJ9K3b18iIiI4ceIEixcvvmTd56+V/dlgMPDzzz/z\n448/Eh4eTsOGDSuc36lSqQgNDXUfAQEB7mvn568KTwrXDVonWKFQyJLEVVFczBvxH/DpaR3/9Ylh\nYMa5VbtWrIDp02HlSsLCYPduCAsDZs2CX36BuXMhMRGGDoU9e9zVbdtWn7vvXom3910ezTy2fz8D\nQ0PpFxrqvjZ9OmzdWvWhuM2bN+eLL77gvvvuq9Yrfn/we/7+w9+ZNWkW9x+6H00tTbWeF0IIIYS4\n08nf1uJmquz3ryq/lxKW1zR2OxalDpfThk5XPgN6/kf3PNDzGVCAyEhISfGoztu78q1Yzu8Fel7/\n/qVxrslUta7GxcVx8ODBqhUuo3dcb5649wn2xu3l7Pdnq/28EEIIIYQQ4tYkAWhNY7djVulxOi2e\n+wiVCUA9FiIqG4AGB5feKLOSV+lKuOUD0JiLVsIFCAmBNm3gf/+rWlfvuusuDh06VOVXK2tih4kc\nue8IW2duvaLnhRBCCCGEELceCUBrGrsds9Ibp8OCVl8mA3puFVy4KAA9cgQaNCj9WaEozYKmpbkf\n0+srXoiozkVzQM978kmYP79qXb3rrrs4fLh83VWhUqp4+523MewzsGTrkiuqQwghhBBCCHFrkQC0\nprHbsSi0OB1WdPoqZEBPn4aIiAvlIiMhNdV96u3dsMK9QCvKgAL06gXbt5dWezkNGza84gwoQGit\nUAztDCz+dDH7zuy74nqEEEIIIYQQtwYJQGsamw0LWpwO8+UDULsd8vMhKOhCuYsCUB+fphQV7bkw\nGfjc/9bRaskyZ2K1nvFo3tu7NAgts1hYpRo2bMiRI0dwOp1X9KoAsYNjGZk+kj5L+pBrzr3ieoQQ\nQgghhBA1nwSgNY3djsWlQ6Gw4aX3unD9oiG4ZjOQlVUafJZd4vmiAFSrjUCl8sVsPlQasLZsiXPu\nfzm+ty1znH3Yva9HuS4MGQJz5ly+qwaDAX9/f1LLtFddIY+FYNhr4LHgx3jyuydxOB1XXJcQQggh\nhBCiZrtsALpq1Sri4uJo0KABU6ZMqbDMhg0baN68OU2aNKF9+/bXuo93Frsdi1ODSmVHqSvz9VSU\nAT1zBmrV8nz+ogAUwGhsTX7+FvjoI3A6yV3wCgqHk7e812IuPkRJSZ5H+Q4dIDe3dFeXy7maeaAA\nKl8VIX1DeC75OYrtxby9/u0rrksIIYQQQghRs10yAHU4HLz44ousWrWKAwcOsGjRIv7880+PMnl5\nebzwwgv8+OOP7N+/n2XLll3XDt/27HYsDg0qtcMzAD2f9nQ6LwSgZ89CmX08AYiKKrcVi59fa/JT\nV8GHH8KyZWQNrE3Ir0pq6/2xe99LXt6vHuWVSnjmGfjvfy/f3audBwoQNiyMzNmZLH18KUsPLGXe\nnnlXVZ8QQgghhBCiZrpkALpjxw5iY2OJiYnBy8uLAQMG8P3333uUWbhwIX379iUyMhKA4ODg69fb\nO4HdjtWhQaUq8QxA1WowGCAvr9oZUD+/1hSc/QWGDcMVE0VW7BlCvjpMHauVTE0r8vJ+KdeNoUNL\n54FWsE6Rh6vZiuU8Y4IRAPUuNT8M+IFX1rzCbym/XVWdQgghhBDi5oiJiWHdunU3uxvVtmDBArp0\n6XKzu3Hbu2QAmpaWRlRUlPs8MjKStDJbfAAcOXKEnJwcOnToQIsWLZg3T7JXV8Vux1aiwUt9UQAK\npfM9s7IunQGtIAD18WmCTZWPve3d5OdvRqurg+6RocTs2sVRVQtyc9eX60adOnDPPZffE/Rqh+AC\nKBQKot+M5vjrx2kc3JhZvWfR9+u+JOcnX1W9QgghhBDixlMoFCgUipvdjWobPHgwq1evrvZz48eP\nx8vLC4PBgMFgwGg0cvLkyWvfwduE+lI3q/KLY7fb+eOPP1i3bh3FxcUkJCRw//330+D83pRljB8/\n3v1z+/btZb5oRex2bA4f1Epn+QA0OBiys9HrzwWg+RVkQENCoKCgNHWpK11FV4ESw0EFWZ3PkJu+\nnJCQx2DEY9R5800W3D+ODpaT2O1ZeHl5Zq+HDYOvvoIBAyrv7rUYggtQa0gt0j5P48y8M3R/ujt/\nT/g7vRf3ZvMzm/HR+Fx1/UIIIYQQ4tZyfheHmh7MKhQKBg4cyNy5c292V264DRs2sGHDhmo9c8kM\naO3atUkpM58wJSXFPdT2vKioKDp37oxerycoKIgHH3yQPXv2VFjf+PHj3YcEn5Ww27GXaPBSOa4s\nA6pUlu4LWjZTnZpKwAENR7PH43TaCAsbBo0a0dZqZUN2Pt7GB8jL21iuK48+Cn/8AadOVd7dunXr\nkpGRgfncAklXSqFU0ODTBhx/4zjpM9IZpR/F43sf5z/9/sPBUQfJ35J/VfULIYQQQogbJzExkWbN\nmuHv78+AAQOwWq1A6foxPXr0IDQ0lMDAQHr27OkxwrJ9+/a88847tG7dGl9fX44fP45SqeTzzz+n\nQYMGGI1Gxo0bx7Fjx0hISHDXb7fb3XXMnDmTBg0aEBQURO/evcnIyHDfUyqVzJgxg4YNGxIQEMCL\nL77ovjd79mzatm3rPk9KSqJTp04EBQURFhbG5MmTK3xXl8t1YcvDO0z79u09YryquGQA2qJFC44c\nOcLJkyex2WwsWbKEXr16eZTp3bs3mzdvxuFwUFxczPbt22ncuPEVv8Qd71wAqlZXngH1mAN6cQAK\n5Yfh/vEHUSltaN06hyZNvkWrDQeg1uDBdN+/nz9pSn7+b7x34gTPHDzI1HP/0UGnK81+XmpLFrVa\nTWxsLAcPHrzKFwdjSyNxc+LIXZ/LgQEH6J3Xm2x1NhvZSNLjSRx/6/gd+49bCCGEEOJW4XK5WLp0\nKatXr+bEiRPs3buX2bNnA+B0Ohk+fDjJyckkJyej1+s9gkCA+fPn8+WXX1JYWEh0dDQAa9asITEx\nkW3btjFlyhRGjBjBokWLSE5OZt++fSxatAiA9evXM3bsWJYuXUpGRgZ16tRhwEXD+VasWMHOnTvZ\nu3cvX3/9dYXDbgsLC3n44Yfp1q0bGRkZHD16lIceeqjC91UoFPz4448EBQXRpEkT/vOf/1ztR3hb\nu+QQXLVazbRp0+jSpQsOh4Phw4fTqFEjZsyYAcCoUaOIi4vjkUce4e6770apVDJixAgJQK+G3U6J\nwwsfrwoC0PMZ0NAyGdCLh+BC6QTO48ehXbvS8127UNzbAoXSy7PcgAH89dFH+UeTtviYf2S1ZhCj\nwsN55dgxBoSGUlurZdgw6NsX3nnHc7vRsv7yl7+QlJRE8+bNr/r1A7sEEtgl0H3+9+K/k/DfBN7s\n9yaa1zTo6+sJfzb8qtsRQgghhLidbVBsuCb1tHe1r/YzCoWCv/3tb4SFhQHQs2dPdu/eDUBgYCB9\n+vRxlx07diwdO3b0eHbo0KE0atQIKM1YArz++uv4+vrSuHFjmjZtSteuXYmJiQGga9euJCYmMmTI\nEBYsWMDw4cOJj48HYPLkyQQEBJCcnOwOZt98802MRiNGo5EOHTqwe/fucosPLV++nIiICMaMGQOA\nRqOhZcuWFb5v//79GTVqFLVq1WLbtm307dvXnZkV5V0yAIXSL7Rr164e10aNGuVx/uqrr/Lqq69e\n257dqWy20iG4SlflGdCYSwzBBWjeHHbtKt1LBUrH0Q4bVr6clxetXn4ZU2oSXtH7+Da+MRE6Haty\ncliTk8Mz4eE0bw4BAfDzz1DZomDnA9DrIdg7mJ8G/0TbWW2ZNWkW1iFW/Dv4o6+vvy7tCSGEEELc\nDq4kcLyWzgefAHq9nvT0dACKi4sZM2YMq1evJjc3FwCTyYTL5XLP9Sy7COp5tcokXfR6vce5Tqfj\n7NmzAGRkZNCiRQv3PR8fH4KCgkhLS3MHoGX75u3tTVFRUbn2UlJSqFevXpXe9XywDJCQkMBLL73E\nsmXLJACtxCWH4IqbwG7H4dCgUThRaiufA2o2uyoPQFu2hN9/v3D+xx9w770Vt9epE//6dT9Gk43A\nL/8fHDpEl4AAVuXkAKBQwHPPweefV97lJk2aXLcAFCA2MJZv+n/DU/ufQvVXFYdHXd2qu0IIIYQQ\n4uaYOnUqhw8fZseOHeTn57Nx48Zycyiru+hQ2fIREREeK9AWFRWRnZ1N7dq1q1VndHQ0x48fr9Yz\nomokAK1p7HZKSjRoFBVkQIOCLswBLXCUTtI8t9Kth3vugf/P3p2H13StDxz/npPk5GQeBUESQUSE\nmMdqRai5amgbtKpUdVBXtVpjL1VFp1+p4aJFzaq0itbY0qohtJkQgoSQxBiJjCfJOef3xyYSmfWE\n4P08T56bvffaa62dpO5591rrXceOQXY2JCaCTge33vgUJWDePBwt/UlLOgKdOtH1uefYffUq+lv/\nEDGgNOYAACAASURBVAwaBH/+CfnyURWQNwKq19/rU5eqXa12LOixgBesXyA1JpXkfckV1pYQQggh\nhKgYaWlpWFlZ4eDgQFJSEtOmTStUpiw5P/KXyR/ADhw4kGXLlhEeHo5Op2PixIm0adMmb/SzqHqK\naq9nz54kJiYyZ84cdDodqamphISEFFnH5s2buXHjBkajkZCQEObOnUufPn1KfYbHlQSglU1ODnq9\nBZZqVdFTcG9nwb2ZU/T6TwAbG/D2hogI2LoVAgOVocziaLXY1ulK6ktt4OJFaowZQ43z5zkyfTr8\n/DM2xjQGDYIlS4q+vU6dOiRcuEB6q1ZQgUmCnmv4HG+3e5vlHZZz5sMzFdaOEEIIIYQwnfz7go4Z\nM4bMzExcXV1p164d3bt3LzTiWdrx3efy1x8UFMT06dPp378/7u7uxMbGsm7duhLrvn0u//d2dnbs\n2rWLLVu2UL16dXx8fIrdbmT9+vV5GXpffvllJkyYwEsvvVSWH81jSWW8T2lFVSqVZDAti/nzUb/9\nOk95duaHr3/ApZfLnWuRkRAczLH1xwl+Jp1j7l1h//6i6xk+HFq0gLVr4d13oZS3MFev/sClSyto\n1OhnAMaFhmITFsbU1ashIoLLwaNpvmECsXFmWNyVy4gzZwjw9eVbBwda7NkDtxZ9VwSj0cjbW98m\ncEQgHVZ1wK1zEVOQhRBCCCEecfLZWjxIxf39leXvUkZAK5ncrFwAtJiVPAKabix+BBSgZUvYsAGi\nouCuJFJFsbVtQlpaWN5xJw8P/mzaFHbvhj//pOqetQxy3cnPP991o9EIQ4fSMCCA4+3bw8qVZX3U\ne6JSqZjTcw7/PPcPu0fvJlefW6HtCSGEEEIIIUxHAtBKJjvLgNpMh4XBoug1oElJWGmNZGSqi05A\ndFvLlvD77/D886DRlNquVutNbm4KOTnXAWhhZ8ffaWkYjEaoXx/eeou37L4rnIwoJgZiYvDv14/j\nbm6wZg3kVmxQaKY2Y8pnU9Dc0DBj1gx5+yeEEEIIIcRDQgLQSkaXZcRMnY3GYFk4ANVowMoK69yb\nZOjUJY+ANmqkJCgq4/xzlUqNvX1LUlL+AqCKRoOjuTlnMjOVAsHBeJzYTlxEMtH5k9Du2QNBQTT0\n9+dYQoKS7GjXrnI88b3RarW0mNkCj2UeTN83vcLbE0IIIYQQQvx7EoBWMrosA2q1DotcTeEAFMDF\nBeuMa2TkWGCsUbP4ijQaCAuD1q3L3LaT09MkJe3IO25hZ8fR1FTlwNkZVefOzGqxgQUL8t3022/Q\nqdOdTLgvvqiMgt4Hni954qv1JWFOAv87+r/70qYQQgghhBDi3kkAWsnosoyo1To0+iJGQAFcXbG4\neR2V0UBOi7YlV1a/fsnZb+/i7NyVGzfuBKAt8wegAEOG0PPad6xcCTdvAgZDXgBau3Ztrl69Smr3\n7krm3dsjpxVIZaai6S9NGXx0MPs+38cPJ36o8DaFEEIIIYQQ904C0EomO8uAWp2NRU7xI6BERWFN\nBhmeDUzato1NY/T6dDIzzwJ3jYACdO+O5fnTvNT2DEuXouw1am8Pnp6YmZnh6+vLievXoWlT+PVX\nk/atOFoPLc13N+f1/a/z11t/8euJ+9OuEEIIIYQQovwkAK1kdFmgUunQ5Fiisixi9NLVFbZuxVqT\nS6bOtL8+lUpVYBpuczs7QtPS0N9O8mNhAQMH8l61lcydC4bdv0FQUN79/v7+yjTc4GBYv96kfSuJ\ndX1r2oW141me5dhzx9gbs/e+tS2EEEIIIYQoOwlAK5ks3a01oCWNgG7fjrWNiowM07fv7NyNpKTt\nADiam1Ndo+Fk/oZefpmae1bg5ZrGzXnfwdNP511q2LAhx44dg379YPt2uHzZ9B0shoWrBR12dqCF\ndQvWvbGOQxcP3be2hRBCCCGEEGUjAWglo8sxoFLpsMgxL3YNKGlpWDtYVFAA+jQ3bx4gJWU/oKwD\nPZCScqdAkyZgZ8ePl9pwMCMA+vbNu5SXiMjVFd54A3x8IDAQBgyA5ctN39m7qC3UtPu5Hc+HPc+E\njycQdims9JuEEEIIIYRJeXl5sWfPngfdjXJbvXo1Xbt2fdDdeORJAFrJZOUCZGOBBSrzIqbguriA\nSoW1i1WFBKAWFi40aLCGY8f6k55+nGdcXdl07dqdAioVvP02dm39edPiG/4Ju/MnlBeAAsyaBfHx\n8MEH8OyzMHYsJCebvsN3saxuSaMFjZi0dxI9V/Yk6mpUhbcphBBCCCHuUKlUqMqRCLOyGDx4MDt2\n7Ci94F26d++OnZ1d3pelpSWNGzeugB4+GiQArWSycoygysbCQlP0f7guLuDvj7WdeYUEoKCMgtar\nN4ewsEDaGvZwICWF6zk5dwqMGIF6/TreeNucr766c9rT05Pk5GSSbweatrbQrZuyNUu3biiZiyqe\naz9XnJ2dmaubS5eVXTh17dR9aVcIIYQQQpiO0WjEeDsXSSX266+/kpqamvfVrl07nn/++QfdrUpL\nAtBKRhkB1aHRWBZdoEsXmD8fKysqLAAFcHMLpnHjX0k8P4W3rA/xU/5R0FtGjFB2XLl4UTlWq9X4\n+flx4sSJwhWOGQNz50JubsV1+haVSkWdz+vgvtid6W2nE7QiiOjr0RXerhBCCCGEUISGhhIQEICj\noyPBwcHodDoAkpOT6dWrF25ubjg7O9O7d2/i4+Pz7uvYsSOTJ0+mffv22NraEhMTg1qtZuHChdSr\nVw97e3s+/PBDzp49S9u2bfPqz8k3WLJkyRLq1auHi4sLffr0ITExMe+aWq1m0aJF+Pj44OTkxKhR\no/KuLV++nA4dOuQdHz9+nC5duuDi4kK1atWYOXNmqc997tw5/vzzT4YMGfKvfn6PMglAKxmdHozk\noNFYFF3A2Rk6dMDaumIDUAA7u+Z4eX3EU8bdrL9ypdB1JycYOpQCo6B5iYju1qoV1KgBW7ZUXIfz\ncWjngF1LO4L+COKjwI/o9F0nCUKFEEIIIe4Do9HIhg0b2LFjB7GxsURERLD8Vj4Qg8HA8OHDiYuL\nIy4uDisrqwJBIMCqVav45ptvSE1NxcPDA4CdO3cSGhrKoUOHmD17NiNGjGDt2rXExcURGRnJ2rVr\nAfjtt9+YOHEiGzZsIDExEU9PT4KDgwvUv23bNo4ePUpERATff/99kdNuU1NT6dy5Mz169CAxMZEz\nZ84QlG/3h+KsWLGCJ598Mq/fojDzB90BUVBWrooSR0BvuR8BKICLSw+sol8nPPMKl7KzqabRFLg+\ndiwEBMDEiUpsHBAQQHh4eNGVDRsGa9YUSFxUkbxnehPaLpSXhr8EgRC0Iog9Q/bg4+JzX9oXQggh\nhHhQ9u41zRrMjh3LPwVWpVIxevRoqlWrBkDv3r0JC1OSQzo7O9M332fBiRMn0qlTpwL3Dh06lAYN\nlP3u1WplvOz999/H1tYWPz8/GjVqRPfu3fHy8gKUNZihoaEMGTKE1atXM3z4cJo0aQLAzJkzcXJy\nIi4uLi8oHD9+PPb29tjb2xMYGEhYWFih5ENbt27F3d2dd955BwCNRkOrVq1KffYVK1bw4Ycflvtn\n9jiRALSSycpVYzRmY2mpKbHc/QpAzc0dcbBvxWiimXuxDp94exe4XrMm9OkDCxbA5MnQokUL1qxZ\nU3Rlt5MRpaeDjU2F993ax5oqL1Th/MfnGfbVMECCUCGEEEI8Hu4lcDSl28EngJWVFQkJCQBkZGTw\nzjvvsGPHDm7cuAFAWloaRqMxL/9JrVq1CtVXtWrVAvXlP9ZqtVy5NVsvMTGRFi1a5F2zsbHBxcWF\n+Pj4vAA0f9+sra1JT08v1N6FCxfwvutzb2n279/P5cuXGTBgQLnue9zIFNxKJlsPRqMOS622xHK2\ntpCaen/65OLSh6fNDrE4MZGbRazhHDcOvv5aCYibNm3KsWPHyM7OLqoiaNMGtm27D71WeP3Xi8ur\nLpN5NpNhTYcxreM0On3XSbLjCiGEEEI8AF988QXR0dGEhISQkpLCvn37CiUbKm8G3fzl3d3dOXfu\nXN5xeno6169fp0aNGuWq08PDg5iYmHLd891339G/f3+sra3Ldd/jRgLQSiZLb4bRmI22lBFQZ2e4\n9dKowrm69iE7ZTtPO9qxON8i7tsaNID27ZUktzY2NtSpU4fIyMiiK3vuOdiw4c7x6tXwxBMwfDjE\nxpq87xo3DTXH1CR2klL3sKbDmBk0k04rOhGaGGry9oQQQgghRPHS0tKwsrLCwcGBpKQkpk2bVqhM\nWTLf5i+TP4AdOHAgy5YtIzw8HJ1Ox8SJE2nTpk2xazKLy7Tbs2dPEhMTmTNnDjqdjtTUVEJCQort\nT2ZmJhs2bGDo0KGl9v1xJwFoJZNpMMNo1KEtZQTUyen+BaBarQfm5s6MqZLBvPj4Iv8j/eAD+Pxz\nyMlRpuEePXq06Mr69oWdO+H8eYiMVLLjjh0LWi385z8V0v+aY2uSsj+FmyE3AXgp4CXm95hPt9Xd\nOHDhQIW0KYQQQgghFPn3BR0zZgyZmZm4urrSrl07unfvXmjEs7Tju8/lrz8oKIjp06fTv39/3N3d\niY2NZd26dSXWfftc/u/t7OzYtWsXW7ZsoXr16vj4+LB3795in/Gnn37CycmJjh07lvLTECrjfdpc\nR6VSPRT7+Dxo7zeZy/wz6axv3ohe+3oVW27dOti0Cb7//v7069ixZ3FzG0z7WA/W+fnR3M6uUJlO\nnZSsuGlpCwgNDWXJkiVFV/bllzBjhrKQdcYMGDIEdDqoXx9WrIAnn1TKnT8PmZng61ty59LTYdUq\naN1ayYikUsGVK/DLL8oCVScnLq24xMUvL9LscDPUlsp7l+1ntvPSjy+xtv9aOnt3/hc/HSGEEEKI\n+0s+W4sHqbi/v7L8XcoIaCWTaTTHYMhGa1V5RkABrKzqk5kZTV9X1yL3BAWYMgU+/hiaNm3BkSNH\niq9s7Fj45x+YPl0JPgEsLZVg9L33IC1NCT47dFDm9o4dC1lZRdel18PAgUoA2r+/Mje5SRMlmF29\nGho1gp07qfpSVbS1tcR+eGeab7e63dj4/EYGbRzEllP3Z3sYIYQQQgghHmcSgFYyWUYLDAYdGuvK\nswYUwNral4yMkzzr6sqPxQSgHTtC9eoQFRVAdHQ0mZmZxVfo6akMl+Y3cCA0bAje3soo6HvvwcmT\ncPQo3No7qpD33lNGSX/7Dc6cgehoWLIEYmJg1y747jsYOBBVZiY+i324vOoySTuS8m5/0vNJtg3a\nxogtI1h3bF3RbQghhBBCCCFMQgLQSibToMFoyKp0I6DW1vXJyDhFG3t7rufkcLqIPWBUKpg6FWbO\ntKRRo8Zs3boVgF9//ZWAgABq167Npk2bim9ErYZly2DvXpg3D0aPhipVYPx45fzdYmJg5UolqZGF\nhdKBKlWgZUvlBwQQFATt2sH69WiqaGi4viFRL0WRFpmWV03LGi3Z9dIu3t35Lt/8882/+CkJIYQQ\nQgghSiIBaCWjM5qj12dhaW1ZYjknJ0hKKrGISSkB6ElUQJ8SRkEDA6FGDejS5QtGjx7N0aNHGTp0\nKB999BGvvvpqXlBaIj8/6N37zvHTT8PFi3DiRMFyX30FI0aAo2PJ9Y0cCYsWAeDwhAN159Qlslck\nugRdXpFGVRux9+W9zPhzBjP+mCFrKoQQQgghhKgAEoBWMlkGZQqu1qbkEVBHR7h5EwyG+9MvCwsX\n1Got2dmJ9HZx4ZcSot+pU2H9+vYMGTKUtm3bMnbsWPr06UOvXr04cOAess6am8NLLxUcBU1KUtZ9\nvv126fd36wbx8RAeDkDVgVVxf82dyN6R6NP0ecXqudTjwLAD/BD1A2/98hZ6g764GoUQQgghhBD3\nQALQSibLoAF0WFhblFjOzAzs7CAlpfgyS5cq26KYyu1puB0dHfk7NZWbublFluvYURkF9fGZxoIF\nCxg3bhwA/v7+JCQkcP369fI3/sorynTbm8pWKsydC888A+7upd9rbq6MlM6fn3fKY6IHtgG2nAg+\ngSHnThRf3a46+4bu43TSaQZsGEBmTgnrWIUQQgghhBDlIgFoJZNlsMDcLAe1tvRfTUnrQG/ehFdf\nhYgI0/XtdiIiGzMz2trbs6eERajTpsHMmRqGDh2BWq08i5mZGa1bt+bQoUPlb7x+fXj2WRg1Cg4f\nhgULlEbK6o03lLWily4BSopon0U+GA1GokdEYzTcmXJrb2nPtkHbsLGwofPKzlzPuIeAWQghhBBC\nCFGIBKCVjE5vgdost8wBaHEzYf/+G4xGCA01Xd+sreuTmXkKgO7OzmwvYRruU08pyWy/uSunT7t2\n7e5tGi7AF19ASAh07w7/+5+SSbesqlSBQYNgzpy8U2oLNQ03NCQjOoOYD2IKFNeYaVjRdwVPeDzB\nE8ue4Hzy+XvrsxBCCCGEECKPBKCVjE6vwVz970dAQ0LA1lbZbtNUbo+AAnS7FYCWlKxn1ixlq8+0\nOwlnadu27b0HoDY2yijmf/8L/fqV//5334XFiwtE7WY2ZjTa2ojrv1wn7rO4AsXVKjWzO8/mzRZv\n0n5pe8Iuhd1bv4UQQgghHiNeXl7s2bPnQXej3FavXk3Xrl0fdDceeRKAViYGA9l6jTIF17L0X01J\ne4GGhMCLL5o2ALWyUtaAAvhaW6NSqThRxHYstzVrpoyEfvXVnXNt2rTh6NGj5BazfrRUjRrBf/5z\nb/d6eysZcX19lSB21So4fhwLZwsCdgaQsDCBmEkxGPUFg+q3W7/NV92+4umVT7M1ugxZfIUQQggh\nHmMqlQqVSvWgu1FugwcPZseOHeW+7/fffycwMBBHR0dq165d6Pq5c+cIDAzExsaGBg0aPJTBuSlJ\nAFqZZGeTbdBgpi77FNziAtAjR5S8O5GRcK+x3t20Wk90ugQMhmxUKhUvVq3KFxculHjP9OlKAHp7\n1xZHR0dq1qxJVFSUaTpVXp98Avv2KdmbfvlF2Tfm2jUsa1jS7FAzbh66SXjncDKiCwbWA/wGsGXg\nFkZuHcmXB7+UbVqEEEIIISqY0Wh8KD5z2dra8uqrr/LZZ58VeX3gwIE0b96cpKQkZsyYwYABA7hW\nzJaGjwMJQCsTnY4cgwYLteFfrQG9dEmZ9tq0qZIk9tQp03RPrdZgaelOVpayHnJcrVpsu36diPxz\nbO9Sty4EB8OMGXfO+fn5PbgAFKBBAyUqXrMGBg6ECRMA0LhpCNgZgEsvF0LbhRL739gCo6Gta7bm\n0PBDrAhfwYgtI8jWZz+oJxBCCCGEqNRCQ0MJCAjA0dGR4OBgdDpl//Xk5GR69eqFm5sbzs7O9O7d\nm/j4+Lz7OnbsyOTJk2nfvj22trbExMSgVqtZuHAh9erVw97eng8//JCzZ8/Stm3bvPpz8m39sGTJ\nEurVq4eLiwt9+vQhMTEx75parWbRokX4+Pjg5OTEqFGj8q4tX76cDh065B0fP36cLl264OLiQrVq\n1Zg5c2aRz9qyZUsGDx5c5OhndHQ0oaGhTJs2DUtLS/r160fjxo3ZuHHjvf9wH3ISgFYm2dnk6DVY\nlCMJUVEjoEeOQMuWoFIp02BNmYjIyqoOWVlnAXAwN2eypydjzpzhYEoKN4rZ82XKFFixAs6dU459\nfX0fbACa37RpsHWrMmcZUJmpqPVuLVpEtiDlzxQie0WSm3xnCLmWQy32D9vPtYxrPL3yacmQK4QQ\nQghxF6PRyIYNG9ixYwexsbFERESwfPlyAAwGA8OHDycuLo64uDisrKwKBIEAq1at4ptvviE1NRUP\nDw8Adu7cSWhoKIcOHWL27NmMGDGCtWvXEhcXR2RkJGvXrgXgt99+Y+LEiWzYsIHExEQ8PT0JDg4u\nUP+2bds4evQoERERfP/990VOu01NTaVz58706NGDxMREzpw5Q1BQULl/FsePH8fb2xsbG5u8cwEB\nARw/frzcdT0qSo1ytm/fjq+vL/Xq1WP27NnFljty5Ajm5uZs2rTJpB18rOh05OgtsVDr/1UAGhIC\nrVop3zdrZup1oHXJzDybdzzS3R1PrZYxZ87Q8MgRLmRlFbqnalUYPRrGj1eOGzRoUHkCUEdHeP99\nWLiwwGnL6pYE7AxA660l/Olwcm/eCUJtNbZsemETbWq2ofU3rTl57eT97rUQQgghRIlur8P8t1/3\n2vbo0aOpVq0aTk5O9O7dm7AwJZmjs7Mzffv2RavVYmtry8SJE9m3b1+Be4cOHUqDBg1Qq9VYWFgA\n8P7772Nra4ufnx+NGjWie/fueHl5YW9vT/fu3Qm9NeKyevVqhg8fTpMmTdBoNMycOZODBw8SF3cn\n2eT48eOxt7enVq1aBAYG5vUtv61bt+Lu7s4777yDRqPB1taWVrc/YJdDWloaDg4OBc7Z29uTmppa\n7roeFSVGOXq9nlGjRrF9+3ZOnDjB2rVriwwc9Ho9H3zwAd26dXso5mlXWtnZ5OotsFCVbQpucUmI\nIiMhIED5vmlT0wagWm0dMjPP5B1r1GqW+fpyuHlzxtSsSd/jx8nU6wvdN24c/PWX8lWpAlBQMupu\n2VJosazKXEW9efWwa2FHZM9I9Jl3nkutUjOr8ywmPzmZJ5c9yY4z5V+wLoQQQghRUW6vn/y3X/eq\nWrVqed9bWVmRdmvJVkZGBiNHjsTLywsHBweeeuopUlJSCrRVq1atQvVVrVq1QH35j7VaLenp6QB5\no5632djY4OLiUmCab/6+WVtb592b34ULF/D29i7XMxfF1taWmzdvFjiXnJyMvb39v677YVVilBMS\nEkLdunXx8vLCwsKC4OBgNm/eXKjc119/zYABA6hSpUqFdfSxoNORq9egKWMAWtwa0HPn4PYUdG9v\nKCVPULlYWdUpMAKa37hataij1TL9fOE9M62tlW1Z/vMf8PHx5fTp0+iLCFQfCE9P5Wv//kKXVCol\nCNW4azjz9plC14c2GcqmFzbxyuZXmLV/lryAEUIIIYQowRdffEF0dDQhISGkpKSwb9++QsFueUde\n85d3d3fn3O11X0B6ejrXr1+nRo0a5arTw8ODmJiY0guWomHDhsTExOQF4ADh4eE0bNjwX9f9sCox\nyomPjy/wBqJmzZoF3h7cLrN582beeOMNoPx/MCKf7Gxyc8sXgBY1Anr+vBJPAVSpAlevmq6LJQWg\nKpWKj2rX5tvERHQGQ6HrgwaBhQVs3GhDlSpVCvzj8MD17Qs//ljkJZVahe+3vqQcSCHx28RC15/w\neIKQESFsPrWZ/t/356buZhG1CCGEEEKItLQ0rKyscHBwICkpiWnTphUqU5YX+vnL5A9gBw4cyLJl\nywgPD0en0zFx4kTatGmTt5a0qHqKaq9nz54kJiYyZ84cdDodqamphNzKGVJUHVlZWeTk5GA0GtHp\ndGRnK8kqfXx8aNKkCdOmTSMrK4tNmzZx7Ngx+vfvX+ozPqpKjHLKEkyOGTOGWbNmoVKpSh2qnzp1\nat7X3r17y93ZR152Nnq9Bg3Gew5AU1IgJwdcXJRje3vQ6aCIpZn3RElCFIvRWDjABKhvbY2/jQ0/\nFpFaWqWCOXNg0iTw8alk03CffRZ++gny//2mpMDYsbBlC2a2Zvhv8idmfAzpJwpP06hpX5O9L++l\nqm1VWi1pRdTVSvRsQgghhBAPUP71pGPGjCEzMxNXV1fatWtH9+7dC8UcpR3ffS5//UFBQUyfPp3+\n/fvj7u5ObGws69atK7Hu2+fyf29nZ8euXbvYsmUL1atXx8fHp9j4Zd++fVhbW9OzZ08uXLiAlZUV\n3bp1y7u+bt06jh49irOzM5MmTWLjxo243P6w/pDbu3dvgRivLFTGEiLGQ4cOMXXqVLZv3w7AzJkz\nUavVfPDBB3llvL2984LOa9euYW1tzZIlS3jmmWcKNnQrQBXFM/65H7On2tLBrTU7Du9H66ktsXxy\nsjLSmZJy51xEhLKzSP7EWjVqwKFDUMR0+nty4EA1mjf/G0vLoqcybLhyhfkJCext0qTI60OGwMmT\n7/Dcc+6MGzfONJ36t4xGZXuWL7+EHj2UTE79+0OHDrBrF2zbBq1akfhNIvH/d45mP1ZH7eNVZFVL\nQ5fywe4P+F/P/9Hf7/F9uyWEEEKIiiOfrcWDVNzfX1n+LkscZmvRogWnT5/m3LlzZGdns379+kKB\nZUxMDLGxscTGxjJgwAAWLlxYqIwom9zMHFQqA5aoUVuWPgJqbw/p6QVz5+Sffnubqafh3p2I6G59\nXF05lZFBZDH7g86aBSdONODw4Uo0SqhSKZlwX31VCT6ffRbmzlX2Cl26FPr0gc8/p5phK9rTe4l9\nclnB0dJ8hjUdxq+Df2XszrF8sPsDcg25RZYTQgghhBDicVNilGNubs68efPo2rUrfn5+vPDCCzRo\n0IBFixaxaNGi+9XHx0ZWag5mZllY6C3KNAVXrVaC0OTkO+fOnwcvr4Ll3Nzu3zpQUDLjjqtVi8mx\nsUVed3eHoUN92bUrqrgY7sEIDIRhw6BNG2Vrlr59lfO9e8OGDRAdjWrdWny2debStRakzd1WbFUt\n3Fvw92t/83fC33RZ2YWE1IT79BBCCCGEEEJUXiVOwTVpQzJNoFRXV/xKrZGt6G49gI3xe8oUhNat\nC7/8Aj4+yvF77ykjnvlmSTN4MHTvDi++aJp+njs3DYNBh7f3J8WWyTIYqH/4MGv8/Gh/195HACcT\nr+Dn6c2yb6/z8kuWpumYKeTmwvbt0LOnMipajMQ3t5H43VWapgxBZV7870lv0DP9j+ks+nsRy/ss\np2vdrhXRayGEEEI8ZuSztXiQKmwKrri/stJyMVNnYZGrQWVZtmzCXl6QP0P0/ZiCa2PTkPT04yWW\n0arVTK9dm3Fnz6K/649QbzQy6koi6to1eX3HJpKTK9E/nubm0KtXicEnQLW53VCh5+Lbv5dYzkxt\nxtSOU1nTbw3Dfx7O+N3jydHnmLLHQgghhBBCPDQkAK1EdJl61GZZmKs1Zd7Opn59OHXqznFRyecz\nLwAAIABJREFUU3BNHYDa2jYhLS2s1HKDq1bF2syMD+7aQ2lKbCxGo5HXe/YA/V76Li28tUllpzI3\nw3fYZeK+05MWXvRa1/wCawfyz8h/CL8czlPLn+J8cuG9UoUQQgghhHjUSQBaiWSlGzBTZ6FRl5z9\nNj9fXzh58s7xuXNFj4BeuWKaPgJotd7k5t4gJyepxHJmKhXf+/mx+do1ZsfFkaHX82FsLD9cvcoa\nPz96dO5MnXMn+MvqMkeOmK5/94tVr+bU8djKieATZJ1X9rkx5BhIWJzA4XqHiXoxiozojLzybjZu\nbBu0jb6+fWn1TSt+OvnTg+q6EEIIIYQQD4QEoJVIVoYBtToLc3XZ10T6+t4ZAc3IgJs3oWrVgmVM\nPQKqUqmxtW1MWlp4qWWdLSz4pVEj/khOxu3AAbZcv87+pk2pqtHQoUMHzkWGoqp9naEj9dzar/fh\n0bYtVS8spdqQKvzd4m+iXo7iUK1DXN1wlfpL6mPta80/rY+ii9fl3aJWqRnXfhybgzfzzo53GPXL\nKDJyMkpoRAghhBBCiEeHBKCVSFamEZU6C41Z2UdA69e/MwIaFwceHkp23PxMnQUXyj4NF6CetTXb\nGjfmdKtWHGjaFDeNBlA2+PX398f7/Fkc26TySfE5jSone3tU9eriEXiZJnubYNvYlqb7mxKwKwDH\njo54BkRQPXkN559cDBcvFri1Tc02hI4MJTkrmWaLmnE04egDegghhBBCCCHuHwlAK5GsDANqlQ5z\ns7KPgNasCSkpyshnUdNvwfQjoFC+APS26paWWJmZFTgXGBiIQ1gY7d9IYcECiIgwZS/vg/bt4a+/\nsGloQ613a2FV10o5f+MGvPEGHt/35WpifTI7vQQGQ4FbHbWOrOq3imkdp9FzTU8+/uPj+7dn6OHD\n8Mcfpp2bLYQQQggBeHl5sWfPngfdjXJbvXo1XbvKjgUVTQLQSiQry4hKlYlGbV3me9RqZQuWU6cg\nNFSZknu3yhKAFmXIkCFEbdhAyPVYZs2CV15RdkJ5aNwKQAt57z3o2xeL57pSY7wP55J6wQ8/FFnF\nC/4v8Pdrf7Pv/D46LOvAmaQzFdvn3buVvU0nToTmzSE11XR1p6fDtm2weLFp6xVCCCHEQ0OlUpU5\noWZlMnjwYHbs2FHu+z777DMaNWqEvb093t7efP755wWunzt3jsDAQGxsbGjQoMFDGZybkgSglUhW\npgGVKguNhVW57vP1hagoWLECBg4sfN3RUYkLdLrC1+6VtXVDMjOjMRj+XaUNGjTgheBgDsyZw0tD\njbi4wGefmaiT98MTT8D+/ZB/q5n4ePjxR5gxA4Cao2tyXdeM7Clfgl5fZDU17Wuy48UdDPIfRNtv\n27L478Vl39vrr7+ga1dlGLw0Oh289RZ8+63S76AgmDatbO2Uxfvvw4cfwrJlMGWK6eoVQgghxGPH\naDQ+NHudrly5kuTkZLZv3868efNYv3593rWBAwfSvHlzkpKSmDFjBgMGDODatWsPsLcPlgSglUhm\ntgHQYakp+xpQUNaBrlihxDZt2xa+rlKBqyuY8u/czMwKK6s6pe4HWhazPvoIw759bAw5zJIl8H//\nB2H/fnD1/vDwUH64f/5559yiRTBoENjbA2DuaI7bYHcSMjrDd98VW5Vapebt1m+zb+g+Fv29iB5r\nehCXEnengF4Pe/ZA/jdz+/dD375KAPz66wUD4aJ8+qnyxqJ37zvHK1ZAeOkJpTh4EDp2hOPF/M6N\nRvj5Z1i9GjZvhlWrCqZoFkIIIcRjIzQ0lICAABwdHQkODkZ3ayQkOTmZXr164ebmhrOzM7179yY+\nPj7vvo4dOzJ58mTat2+Pra0tMTExqNVqFi5cSL169bC3t+fDDz/k7NmztG3bNq/+nJw7+6wvWbKE\nevXq4eLiQp8+fUhMvLPln1qtZtGiRfj4+ODk5MSoUaPyri1fvpwOHTrkHR8/fpwuXbrg4uJCtWrV\nmDlzZpHPOm7cOJo0aYJarcbHx4c+ffrw160ZctHR0YSGhjJt2jQsLS3p168fjRs3ZuPGjab5QT+E\nJACtRJQANAvLW0l6ysrXV4lLhg5Vgs2iVMQ0XAeHJ7hxY/e/rsfZ2Zk2b7zB9ClT8PSEL7+EwYMh\nM9MEnbwfXntNCTpBGWFcvBjefLNAkRqjapKQ1QXD+5PgxInCdWRnQ0YGuUnZuB935yfDT7yw/wWm\nDZrG2klrSfv7MtSrp4wwvvqq0sbatUrwuWqVEvBFRpYY4PL77zB/Pnz99Z1zbm4wd64ygrpzJ2zc\nqPwhzZihzOm+LSEBnnsOmjZVgtBt2wrXHxEBGo3yRsTNDSZMgDFjCq19FUIIIcSjzWg0smHDBnbs\n2EFsbCwREREsX74cAIPBwPDhw4mLiyMuLg4rK6sCQSDAqlWr+Oabb0hNTcXDwwOAnTt3EhoayqFD\nh5g9ezYjRoxg7dq1xMXFERkZydq1awH47bffmDhxIhs2bCAxMRFPT0+Cg4ML1L9t2zaOHj1KREQE\n33//fZHTblNTU+ncuTM9evQgMTGRM2fOEBQUVKZn/+OPP/D39weUINbb2xsbG5u8MgEBARwv7oX+\nY0AC0EokMxuMxmwstWVPQgRKAKpSwUsvFV+mIjLhVqnyPFeurC+9YBmMHDmS2OPHOXDgAIMHQ6NG\nSvzyUBgyRAnIrl9XRhMbNgQ/vwJFbPxtsG7kwOU+X0O/fsoo4Z498NFHZLTuzymb/3LI9mcOuuwm\nZkwEGUcz6GDbgde8XiNhbwIHOhziyI3ppH6zVwkkP/4YJk1S6nj6abCyUoLPCROU/XjyS0tTRmgH\nDVKC1Vv/kOcJDoY1a5So///+D1q0UJIode+u1Pftt0qA+uabyvVvvoGi3gBu2wa9et15C/L220rb\nb79d+sisEEIIIUxKpTLN1721rWL06NFUq1YNJycnevfuTdit6W3Ozs707dsXrVaLra0tEydOZN++\nfQXuHTp0KA0aNECtVmNhYQHA+++/j62tLX5+fjRq1Iju3bvj5eWFvb093bt3J/TWi/PVq1czfPhw\nmjRpgkajYebMmRw8eJC4uDuzysaPH4+9vT21atUiMDAwr2/5bd26FXd3d9555x00Gg22tra0atWq\n1GefOnUqAK+88goAaWlpODg4FChjb29P6mOcK8P8QXdA3JGZY8SIDq22fGtA/f1h0yaoVav4MhUx\nAuro+BTZ2fFkZp7Byqruv6orqGpV1C+/zMSJE/n9999ZuFBF48bQo4cSX1Vqzs7KlNb+/SE6GrZs\nKbKY9yxvjj2Tgev772GxeTPG+ATi1C9y8eQoarzvTuOXa2F19GdUU8fAV/+ArS11qEMLQwsSm/jw\njYM/yZ3c8P3Il1pHjoClpbLA97ZmzZSkSAsWKEmQjEaYPVsJVuvXV/63c+ein6FTJyUjbv7/pxk3\nDsaOhdOnlXWdAwYo57t2VYLua9eU6ce3bd0Kt/7RBZTR0G3blF/gyJHw1VdgXfYEW0IIIYS4dw/6\n3W+1atXyvreysiIhIQGAjIwM3nnnHXbs2MGNGzcAJUgzGo15iYtqFfGhtmq+je6trKwKHGu1Wq7c\nyuyfmJhIixYt8q7Z2Njg4uJCfHx83mhq/r5ZW1uTnp5eqL0LFy7g7e1drmeeN28eq1at4s8//8wL\nnG1tbbl5V56O5ORk7G8t1XocyQhoJZKZq8ZozMLKqnxrQM3N4dlnSy5TEQGoSmVGlSoDTDIK6m5p\nSdVevTgXH8+ff/6JkxMsXw7Dhpl27WqFGTNGCQgPH1YyyxbBvpU9bgPdOP13OzJnfkdshxVcudGc\nlqfa4zWjPtY+1qgGBStB5NixefeZnTlLzctpvPjDLOZPms/RaUc5+v2FgsHnbdOmKVmcNm+GF16A\nDRuUFMl//w3Dh5f8DHe/5qxaVRmp/eEHZfrt7etarZK86Jdf7pS9dk1ZG/rUUwXrcHBQ1qxmZEDj\nxso0YSGEEEI8tr744guio6MJCQkhJSWFffv2FUo2VN4MuvnLu7u7c+7cubzj9PR0rl+/To0aNcpV\np4eHBzExMWUuv3TpUj799FP27NmDu7t73vmGDRsSExNDWlpa3rnw8HAaNmxYrv48SiQArUQyc1UY\njTq0VuVbA1oWVapUzJaPbm7BXLmyFqPx36/ze9LFhfYjRjB79mxAiXEGDYKXX34IlhE2b64EWiUN\nQwO1P65N5ulMwruEkxaZRpO9TdBUu+v3PXeuMnJ45IhyvHw5vPgidas2YNO7m0hemMzFiRf5dPan\npGff9cauYUMM/QdinPM1BAQoe32W8x/cMunVq+BI7+bN0KWLEoTfzdFRmfo7bpwyT/yh2mdHCCGE\nEKaUlpaGlZUVDg4OJCUlMa2IbPxlyXybv0z+AHbgwIEsW7aM8PBwdDodEydOpE2bNnmjn0XVU1R7\nPXv2JDExkTlz5qDT6UhNTSUkJKTIOlavXs2kSZPYuXMnXl5eBa75+PjQpEkTpk2bRlZWFps2beLY\nsWP079+/1Gd8VEkAWomk680wGLLQlnMEtCxcXCApyeTVYm/fDgsLN8LDO5OZGfuvUmU/6eBATpcu\n/PPPP0TeGimbMUNZjnjXdkoPLTMbM5qHNKdNTBsab2uMhatF4UJ2djB9ujKq+uuvyprL118HlEy5\nrzz3CgEbA2j0SSO6TerG5pObATDqjcQviOfAugGEZX+Gbuh7kG/Bu0n17Am7dinJkwDWrVPWkpbk\ntdeUKbtz51ZMn27T6ZRkS82awYULFduWEEIIIUqVf1/QMWPGkJmZiaurK+3ataN79+6FRjxLO777\nXP76g4KCmD59Ov3798fd3Z3Y2FjWrVtXYt23z+X/3s7Ojl27drFlyxaqV6+Oj48Pe/fuLfL5pkyZ\nQlJSEi1btsTOzg47OzvezJeQct26dRw9ehRnZ2cmTZrExo0bcXFxKfFn9ihTGe/T5joqleqh2cfn\nQRna5Ad+OneQdf270O3bbiate906ZWvK9abJGVSA0agnLm42Fy58Bhhxde1HnTqfY2HhXK56zmRm\n0jEsjDd//52oqChWrlzJlexslkRf5au+VfhpuYb27U3f/0pJr4eWLSE2VpnqWsT+Olc2XOH46OOs\nClyFtZc1A7cNxMrRinpf1+P6luvEz4+neUhzLGuWL6lVmbVtC+++S5ZXG3ICe2Nx9De09Z1Kvic6\nGtq1U6br5lu7YVJ9+igplB0cwNtbWQdblBs34PJlJYuXEEII8ZCRz9biQSru768sf5cyAlqJZOjN\nMRiy0FTAFFxnZ+XzdkVQqczw9JxI+/ZJtGp1CjMzW44c8ScjI7pc9dTRaqliYYHq2WfZvXs3Qzdv\npn5ICJt1l6i7MJrggcaHYz2oKZiZKdus7N1b9OaugNtzbgQsC2BM7hi6r+nOp36fsvPjnWgaavCc\n5En14dU5+97ZcjVrzDVyacUl4hfGc/PIzRLL6sbOJGrISf5+6gSnLCbxd/sTnP3gLPoMffE3+fjA\nM8/AypXFlzEY7n3hb1gYHD2qTA+ePVvJ4JtvzUWe+fOVxEzt2imZi4UQQgghxH0hAWglkmmwwGDQ\nobUx/RRcJ6eKmYKbn0qlQqOpSr16c6lZczSxsRPLff9P/v7MS07G6fXX2fjhh0S3bMmfTZty0z6D\npmOvMniwMjj4WKhfX1nHWQLnbs40+r4RPc714MsFX7Ivbh+NFzbm19O/4jHBg5uHbnJjT9nfPJz/\n+DwX/+8iaWFpRPaIJPNM0Zux3vjtBn+/rUHbuCptMvrQYoWWlsdbkhWbRVjHMHJu5BR5H6Bkllq6\ntOj0fGfOKPuM+vreWxA6cya8+66yFtXbG558svDeqMePKxmBf/8d/voLpkxRtoq5lZ1PCCGEEEJU\nHAlAK5EsgzkGfSaW1qafMunsXPEBaH41aowmJeUgqalHy3Wfp1bL5kaNaPf889S3tOTX9euxVKtZ\n5utLSMszZKn0TJpUQZ1+yHk7ebNt0Da+ePoLxuwYwzM/PYPVR1ZEj4wm+2p2qfcn700mYVECjX5p\nRP1F9fH6rxfHXziOQVcwA1Ti0kSiBkXRYE0Dau99CbMJ78DTT6OpqsFvvR8O7R0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UV88sknh3TM9MxM/lVeTuRXF45KBdddJzIIL1ggxtBbtx7SqRWOAnHmOK7Ou5o5l82h/M5yrhh8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\nCm3CH6wGNYZlh0mlRmIagzCNYiyzBNMsRVW70fUjK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      }
     ],
     "prompt_number": 162
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Let's play a guitar chord with a simple frequency based decay rule:\n",
      "\n",
      "- if harmonic is below 4, decay time is 1 second.\n",
      "- if harmonic is above or equal to 5, decay time is the one fitted on the data."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def gen_harmonic_sound_simple_decay(t, harmonics_freqs, harmonics_ampl):\n",
      "    #normalizing step\n",
      "    harmonics_ampl = harmonics_ampl / max(harmonics_ampl)\n",
      "    signal = zeros(t.shape)\n",
      "    for i in range(len(harmonics_freqs)):\n",
      "        if i < 5:\n",
      "            signal += harmonics_ampl[i] * sin(2 * pi * harmonics_freqs[i] * t) * exp(-t / 2.17)\n",
      "        else:\n",
      "            signal += harmonics_ampl[i] * sin(2 * pi * harmonics_freqs[i] * t) * exp(-t / 1.0)\n",
      "    return signal"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 163
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "t = arange(0, 5, 1/8000.)\n",
      "signal = gen_harmonic_sound_simple_decay(t, harmonics_freqs, harmonics_ampl)\n",
      "signal = signal * fitfunc(p1, t)\n",
      "signal = signal / norm(signal, ord=inf) * 32000\n",
      "signal = signal.astype(np.int16)\n",
      "wavPlayer(signal, 8000)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "\n",
        "    <head>\n",
        "    <meta http-equiv=\"Content-Type\" content=\"text/html; charset=utf-8\">\n",
        "    <title>Simple Test</title>\n",
        "    </head>\n",
        "    \n",
        "    <body>\n",
        "    <audio controls=\"controls\" style=\"width:600px\" >\n",
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        "    </audio>\n",
        "    </body>\n",
        "    "
       ],
       "output_type": "display_data",
       "text": [
        "<IPython.core.display.HTML at 0x10419b10>"
       ]
      }
     ],
     "prompt_number": 164
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Sounds good!\n",
      "\n",
      "What about a more elaborate rule, such as a linear damping as a function of harmonic order?"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "figure(figsize=(16, 4))\n",
      "for harmonic in [1, 2, 4, 5, 10]:\n",
      "    plot_decay(harmonic)\n",
      "    decay_time = 2.17 / 5. * harmonic\n",
      "    label = \"exp decay tau=%.2f\" % (decay_time)\n",
      "    plot(bins+0.75, normed_fitfunc([1.0, decay_time], bins), label=label)\n",
      "legend()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 176,
       "text": [
        "<matplotlib.legend.Legend at 0xf840490>"
       ]
      },
      {
       "output_type": "display_data",
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naLuhF9N9HA7QaDwjoxJGhRBCCCGEEFfK5s2b2bx580Wff84weiFD57NnzyY1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\nH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DsyiZXf9+a3335j9uzZeefFxsYyevRofv/990Lxz66urmzbto2MjAx+/vnnvNU2CwsL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\n"
      }
     ],
     "prompt_number": 176
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print decay_time\n",
      "label = \"tau %.2f\" % (decay_time)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "0.434\n"
       ]
      }
     ],
     "prompt_number": 173
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def gen_harmonic_sound_linear_decay(t, harmonics_freqs, harmonics_ampl):\n",
      "    #normalizing step\n",
      "    harmonics_ampl = harmonics_ampl / max(harmonics_ampl)\n",
      "    signal = zeros(t.shape)\n",
      "    for i in range(len(harmonics_freqs)):\n",
      "        decay_time = 2.17 / 4.5 * i\n",
      "        signal += harmonics_ampl[i] * sin(2 * pi * harmonics_freqs[i] * t) * exp(-t / decay_time)\n",
      "    return signal"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 189
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "t = arange(0, 5, 1/8000.)\n",
      "signal = gen_harmonic_sound_linear_decay(t, harmonics_freqs, harmonics_ampl)\n",
      "plot(t, signal)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 190,
       "text": [
        "[<matplotlib.lines.Line2D at 0x10b69c10>]"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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      }
     ],
     "prompt_number": 190
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "signal = (15000*signal).astype(np.int16)\n",
      "wavPlayer(signal, 8000)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "\n",
        "    <head>\n",
        "    <meta http-equiv=\"Content-Type\" content=\"text/html; charset=utf-8\">\n",
        "    <title>Simple Test</title>\n",
        "    </head>\n",
        "    \n",
        "    <body>\n",
        "    <audio controls=\"controls\" style=\"width:600px\" >\n",
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       ],
       "output_type": "display_data",
       "text": [
        "<IPython.core.display.HTML at 0x11056810>"
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     ],
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    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Not bad at all!"
     ]
    }
   ],
   "metadata": {}
  }
 ]
}