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    "<center>\n",
    "    <img src=\"./images/ac_header.png\">\n",
    "</center>\n",
    "\n",
    "### <a target=\"_blank\" rel=\"noopener noreferrer\" href=\"https://www.tu-ilmenau.de/mt-ams/personen/schuller-gerald/\">Prof. Dr. -Ing. Gerald Schuller</a> <br> <a target=\"_blank\" rel=\"noopener noreferrer\" href=\"https://www.tu-ilmenau.de/mt-ams/lehre/msp-and-adsp-tutorials/\">Jupyter Notebook: Renato Profeta</a> \n",
    "\n",
    "[Applied Media Systems Group](https://www.tu-ilmenau.de/en/applied-media-systems-group/) <br>\n",
    "[Technische Universität Ilmenau](https://www.tu-ilmenau.de/)"
   ]
  },
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   "source": [
    "# Psychoacoustics Models"
   ]
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   "source": [
    "## Python Example, Spreading Function"
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    "%%html\n",
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    " - This Python example shows the non-linear superposition with parameter **2*a=alpha=0.6, in the Bark scale.** We construct a matrix which does the actual superposition in the Bark domain, because that is most efficient:\n",
    " \n",
    " ```python\n",
    "def spreadingfunctionmat(maxfreq,nfilts,alpha):\n",
    "    #Arguments: maxfreq: half the sampling frequency\n",
    "    #nfilts: Number of subbands in the Bark domain, for instance 64\n",
    "    fadB= 14.5+12 # Simultaneous masking for tones at Bark band 12\n",
    "    fbdb=7.5 # Upper slope of spreading function\n",
    "    fbbdb=26.0 # Lower slope of spreading function\n",
    "    maxbark=hz2bark(maxfreq)\n",
    "    spreadingfunctionBarkdB=np.zeros(2*nfilts)\n",
    "    #upper slope, fbdB attenuation per Bark, over maxbark Bark (full frequency range),\n",
    "    #with fadB dB simultaneous masking:\n",
    "    spreadingfunctionBarkdB[0:nfilts]=np.linspace(-maxbark*fbdb,-2.5,nfilts)-fadB\n",
    "    #lower slope fbbdb attenuation per Bark, over maxbark Bark (full frequency range):\n",
    "    spreadingfunctionBarkdB[nfilts:2*nfilts]=np.linspace(0,-maxbark*fbbdb,nfilts)-fadB\n",
    "    #Convert from dB to \"voltage\" and include alpha exponent\n",
    "    spreadingfunctionBarkVoltage=10.0**(spreadingfunctionBarkdB/20.0*alpha)\n",
    "    #Spreading functions for all bark scale bands in a matrix:\n",
    "    spreadingfuncmatrix=np.zeros((nfilts,nfilts))\n",
    "    for k in range(nfilts):\n",
    "        spreadingfuncmatrix[:,k]=spreadingfunctionBarkVoltage[(nfilts-k):(2*nfilts-k)]\n",
    "    return spreadingfuncmatrix\n",
    "```\n",
    "\n",
    " - The application ot the spreading function is then a simple matrix multiplication (which avoids slow \"for\" loops) in the Bark domain, as in the following Python function:\n",
    " \n",
    " ```python\n",
    "def maskingThresholdBark(mXbark,spreadingfuncmatrix,alpha):\n",
    "    #Computes the masking threshold on the Bark scale with non-linear superposition\n",
    "    #usage: mTbark=maskingThresholdBark(mXbark,spreadingfuncmatrix,alpha)\n",
    "    #Arg: mXbark: magnitude of FFT spectrum,\n",
    "    #spreadingfuncmatrix: spreading function matrix from function spreadingfunctionmat\n",
    "    #alpha: exponent for non-linear superposition (eg. 0.6)\n",
    "    #return: masking threshold as \"voltage\" on Bark scale\n",
    "    \n",
    "    #mXbark: is the magnitude-spectrum mapped to the Bark scale,\n",
    "    #mTbark: is the resulting Masking Threshold in the Bark scale, whose components are\n",
    "    #sqrt(I_tk) on page 13.\n",
    "    \n",
    "    mTbark=np.dot(mXbark**alpha, spreadingfuncmatrix)\n",
    "    #apply the inverse exponent to the result:\n",
    "    \n",
    "    mTbark=mTbark**(1.0/alpha)\n",
    "    return mTbark\n",
    "```"
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    "#Programs to implement a psycho-acoustic model\n",
    "#Using a matrix for the spreading function (faster)\n",
    "#Gerald Schuller, Nov. 2016\n",
    "# Ported to Jupyter Notebooks by Renato Profeta, October 2020"
   ]
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    "def hz2bark(f):\n",
    "    \"\"\" Usage: Bark=hz2bark(f)\n",
    "    f    : (ndarray)    Array containing frequencies in Hz.\n",
    "    Returns  :\n",
    "    Brk  : (ndarray)    Array containing Bark scaled values.\n",
    "    \"\"\"\n",
    "    Brk = 6. * np.arcsinh(f/600.)                                                 \n",
    "    return Brk\n",
    "\n",
    "def bark2hz(Brk):\n",
    "    \"\"\" Usage:\n",
    "    Hz=bark2hs(Brk)\n",
    "    Args     :\n",
    "        Brk  : (ndarray)    Array containing Bark scaled values.\n",
    "    Returns  :\n",
    "        Fhz  : (ndarray)    Array containing frequencies in Hz.\n",
    "    \"\"\"\n",
    "    Fhz = 600. * np.sinh(Brk/6.)\n",
    "    return Fhz"
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    "def mapping2barkmat(fs, nfilts,nfft):\n",
    "    #Constructing matrix W which has 1’s for each Bark subband, and 0’s else:\n",
    "    #nfft=2048; nfilts=64;\n",
    "    nfreqs=nfft/2\n",
    "    maxbark=hz2bark(fs/2) #upper end of our Bark scale:22 Bark at 16 kHz\n",
    "    nfreqs=nfft/2\n",
    "    step_barks = maxbark/(nfilts-1)\n",
    "    #the linspace produces an array with the fft band edges:\n",
    "    binbarks = hz2bark(np.linspace(0,(nfft//2),(nfft//2)+1)*fs//nfft)\n",
    "    W = np.zeros((nfilts, nfft))\n",
    "    for i in range(nfilts):\n",
    "        W[i,0:(nfft//2)+1] = (np.round(binbarks/step_barks)== i)\n",
    "    return W\n",
    "\n",
    "def mapping2bark(mX,W,nfft):\n",
    "    #Maps (warps) magnitude spectrum vector mX from DFT to the Bark scale\n",
    "    #arguments: mX: magnitude spectrum from fft\n",
    "    #W: mapping matrix from function mapping2barkmat\n",
    "    #nfft: : number of subbands in fft\n",
    "    #returns: mXbark, magnitude mapped to the Bark scale\n",
    "    nfreqs=int(nfft/2)\n",
    "    #Here is the actual mapping, suming up powers and conv. back to Voltages:\n",
    "    mXbark = (np.dot( np.abs(mX[:nfreqs])**2.0, W[:, :nfreqs].T))**(0.5)\n",
    "    return mXbark\n",
    "\n",
    "def mappingfrombarkmat(W,nfft):\n",
    "    #Constructing inverse mapping matrix W_inv from matrix W for mapping back from bark scale\n",
    "    #usuage: W_inv=mappingfrombarkmat(Wnfft)\n",
    "    #argument: W: mapping matrix from function mapping2barkmat\n",
    "    #nfft: : number of subbands in fft\n",
    "    nfreqs=int(nfft/2)\n",
    "    W_inv= np.dot(np.diag((1.0/np.sum(W,1))**0.5), W[:,0:nfreqs + 1]).T\n",
    "    return W_inv\n",
    "\n",
    "def mappingfrombark(mTbark,W_inv,nfft):\n",
    "    #usage: mT=mappingfrombark(mTbark,W_inv,nfft)\n",
    "    #Maps (warps) magnitude spectrum vector mTbark in the Bark scale\n",
    "    # back to the linear scale\n",
    "    #arguments:\n",
    "    #mTbark: masking threshold in the Bark domain\n",
    "    #W_inv : inverse mapping matrix W_inv from matrix W for mapping back from bark scale\n",
    "    #nfft: : number of subbands in fft\n",
    "    #returns: mT, masking threshold in the linear scale\n",
    "    nfreqs=int(nfft/2)\n",
    "    mT = np.dot(mTbark, W_inv[:, :nfreqs].T)\n",
    "    return mT"
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    "def f_SP_dB(maxfreq,nfilts):\n",
    "    #usage: spreadingfunctionmatdB=f_SP_dB(maxfreq,nfilts)\n",
    "    #computes the spreading function protoype, in the Bark scale.\n",
    "    #Arguments: maxfreq: half the sampling freqency\n",
    "    #nfilts: Number of subbands in the Bark domain, for instance 64   \n",
    "    maxbark=hz2bark(maxfreq) #upper end of our Bark scale:22 Bark at 16 kHz\n",
    "    #Number of our Bark scale bands over this range: nfilts=64\n",
    "    spreadingfunctionBarkdB=np.zeros(2*nfilts)\n",
    "    #Spreading function prototype, \"nfilts\" bands for lower slope \n",
    "    spreadingfunctionBarkdB[0:nfilts]=np.linspace(-maxbark*27,-8,nfilts)-23.5\n",
    "    #\"nfilts\" bands for upper slope:\n",
    "    spreadingfunctionBarkdB[nfilts:2*nfilts]=np.linspace(0,-maxbark*12.0,nfilts)-23.5\n",
    "    return spreadingfunctionBarkdB\n",
    "\n",
    "def spreadingfunctionmat(maxfreq,nfilts,alpha):\n",
    "    #Arguments: maxfreq: half the sampling frequency\n",
    "    #nfilts: Number of subbands in the Bark domain, for instance 64\n",
    "    fadB= 14.5+12 # Simultaneous masking for tones at Bark band 12\n",
    "    fbdb=7.5 # Upper slope of spreading function\n",
    "    fbbdb=26.0 # Lower slope of spreading function\n",
    "    maxbark=hz2bark(maxfreq)\n",
    "    spreadingfunctionBarkdB=np.zeros(2*nfilts)\n",
    "    #upper slope, fbdB attenuation per Bark, over maxbark Bark (full frequency range), with fadB dB simultaneous masking:\n",
    "    spreadingfunctionBarkdB[0:nfilts]=np.linspace(-maxbark*fbdb,-2.5,nfilts)-fadB\n",
    "    #lower slope fbbdb attenuation per Bark, over maxbark Bark (full frequency range):\n",
    "    spreadingfunctionBarkdB[nfilts:2*nfilts]=np.linspace(0,-maxbark*fbbdb,nfilts)-fadB\n",
    "    #Convert from dB to \"voltage\" and include alpha exponent\n",
    "    spreadingfunctionBarkVoltage=10.0**(spreadingfunctionBarkdB/20.0*alpha)\n",
    "    #Spreading functions for all bark scale bands in a matrix:\n",
    "    spreadingfuncmatrix=np.zeros((nfilts,nfilts))\n",
    "    for k in range(nfilts):\n",
    "        spreadingfuncmatrix[:,k]=spreadingfunctionBarkVoltage[(nfilts-k):(2*nfilts-k)]\n",
    "    return spreadingfuncmatrix\n",
    "\n",
    "\n",
    "def maskingThresholdBark(mXbark,spreadingfuncmatrix,alpha,fs,nfilts): \n",
    "    #Computes the masking threshold on the Bark scale with non-linear superposition\n",
    "    #usage: mTbark=maskingThresholdBark(mXbark,spreadingfuncmatrix,alpha)\n",
    "    #Arg: mXbark: magnitude of FFT spectrum, on the Bark scale\n",
    "    #spreadingfuncmatrix: spreading function matrix from function spreadingfunctionmat\n",
    "    #alpha: exponent for non-linear superposition (eg. 0.6), \n",
    "    #fs: sampling freq., nfilts: number of Bark subbands\n",
    "    #nfilts: Number of subbands in the Bark domain, for instance 64  \n",
    "    #Returns: mTbark: the resulting Masking Threshold on the Bark scale \n",
    "  \n",
    "    #Compute the non-linear superposition:\n",
    "    mTbark=np.dot(mXbark**alpha, spreadingfuncmatrix**alpha)\n",
    "    #apply the inverse exponent to the result:\n",
    "    mTbark=mTbark**(1.0/alpha)\n",
    "    #Threshold in quiet:\n",
    "    maxfreq=fs/2.0\n",
    "    maxbark=hz2bark(maxfreq)\n",
    "    step_bark = maxbark/(nfilts-1)\n",
    "    barks=np.arange(0,nfilts)*step_bark\n",
    "    #convert the bark subband frequencies to Hz:\n",
    "    f=bark2hz(barks)+1e-6\n",
    "    #Threshold of quiet in the Bark subbands in dB:\n",
    "    LTQ=np.clip((3.64*(f/1000.)**-0.8 -6.5*np.exp(-0.6*(f/1000.-3.3)**2.)+1e-3*((f/1000.)**4.)),-20,160)\n",
    "    #Maximum of spreading functions and hearing threshold in quiet:\n",
    "    mTbark=np.max((mTbark, 10.0**((LTQ-60)/20)),0)\n",
    "    return mTbark"
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    " - We can take a look at the resulting spreading function matrix with:"
   ]
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nVHt6iFkzataklrJ3qXY8oVpnztOihGqyaouH/XVC1ZrgM3Yzs4pxYDczqxgHdjOzinFgNzOrmLYlTyV9CngpsDYijkjLBoEvAQcBK4FTI2JoUgcoTCQ1kVCFls+jWi+huqJvKy+ff3+NijSSUIVODPtbN6EqMTazv+YRpl1CdTxBWvIOVejQPKpOqFpJ7Txjvxo4cZeyC4AbIuIQ4Ib0sZmZtVDbAntErADW71L8MuCadPka4JR2Hd/MbHelaONXOUkHAddmumI2RMT8zPNDETFQY9uzgbMBBuYNHnPJRZcysGgeQ6seaUXFypf3Fnz29eV7sMZm9ebKthb02Rw5mAz8tfnxfZi9xxoA1o3mu1KGRvbMlQ1vLe4502i+3kVlPaP5v7UKuqq0rWC9gt4CpV0NA3vPZOih4aSw6P00VqOroeitV7R92bLCYxQepGbRwP5zGbp/Y7l9T+rYndOy/5cu4Lbknbd0KRtjfWEw69oblCLiCuAKgLkajGXnX8epl57EsvOvq71RUWAu6NNUbz4IA2hGvidZs/fK123BYK5s86H5PvbVi/P1uXtx2sd+2zksPuIyAC7fsH9uveWrC/rYh4r72PsezH8wzHwof+xZ6/OBZubGfNDt35SP9v2b833aPY+NALDkrMNYfuWdSdnwSG49bamR1BjJ75OR/PYxWrBeQVlsK/gAKfpQKepjT4Pwkg+ewPILb0i3LfoAKNkfTp2RIJvYZ37b2seY8P9lGnFbGtPpwL5G0n4R8YCk/YC1Ld17MwlVaPk8qvUSqufuu4AzliXLzcyhCs0O+9t8QjV6xNietdOrtY5QNqna0YSqQOkJQukhf6G5YX+dULUW6/Tljt8ETk+XTwe+0eHjm5lVXtsCu6QvAD8EDpO0StKZwIeAF0n6LfCi9LGZmbVQ27piIuJVNZ46oV3HNDMz33lqZlY5XXtVTMuUTKhC6+dRrZdQnXEyLFyR1K2ZOVSh2WF/m0+oRg+MzE7eSmWH/K11lKlPqArSq6ZKD/kLrZ9HtVUJ1fFlJ1R3Kz5jNzOrGAd2M7OKcWA3M6sYB3Yzs4qpfvK0SM1EUmvnUa2XUO05fiGz70rGi2jFHKq76mRCNXrFyJziYRpgmiVUJeip3daihCo0cJdqNyRUd9reSdUq8hm7mVnFOLCbmVWMA7uZWcU4sJuZVYwDu5lZxeyeV8XU0uoJsutdKTM6itYlMwc2Mzk2NDeeeyuulIleGJ7b+DlC2atlOn2ljNJZsxq5XqT08APddKUMeDz3ivIZu5lZxTiwm5lVjAO7mVnFOLCbmVWMk6cTaVdCddsYkS43Mzk2NDf8QCsSqmN9YsvgeCuaO1eY8oSqBH196XqTnxwbuiShOr7shOpuxWfsZmYV48BuZlYxDuxmZhXjwG5mVjFOnk5GKxKqEcTWkWS5icmxofXjuTeaUI2+YHjv8dek+cmxd9XRhKqE0uRp2bHca61beJxuSKhOsM9CTqhOKz5jNzOrGAd2M7OKcWA3M6sYB3Yzs4px8rRVGk2oRhDjibQmJseG5ob9bUVCNfqC0X3HG1F2yF9o5ryibQlVCfr7a65XK13YzF2qbUuoStuXCxOqycql9lm8rROq3cpn7GZmFePAbmZWMQ7sZmYV48BuZlYxTp6200QJ1TRJ1cwcqtDcsL+tSKjOfHQRBw+sAxoZ8hdafZdqSxKqAvpr/1vUSryWvUt1yhOquVVbPI+qE6pdwWfsZmYV48BuZlYxDuxmZhXjwG5mVjFOnnZaNpG0fbmJOVShqWF/W5FQHVh5GEsW3gI0MuQvlL9LtYMJ1Z4eYtaMmjWppexdqh1PqE4w52lTw/46odq1fMZuZlYxDuxmZhXjwG5mVjEO7GZmFdO25KmkA4DPAPuSZAeviIjLJA0CXwIOAlYCp0bEULvqMS00M4cqNDXsbysSqiv6tvLy+ffXqFxxQhUauUu1gwlVibGZ/TWPMO0SquPJ0aI7VKH186g6odoV2nnGPgqcFxFPAY4F3iTpqcAFwA0RcQhwQ/rYzMxapG2BPSIeiIifpcubgDuA/YGXAdekq10DnNKuOpiZ7Y4UHfj6I+kgYAVwBPCHiJifeW4oIgYKtjkbOBtgYN7gMZdcdCkDi+YxtOqRtte3E1ralqKvtUVlvQWf43353rixWb25sq0FfTZHDiYDf21+fB9m77EGgHWj+a6UoZE98xsDw1vzx9Zovt5FZT2j+fetCrqqtK1gvYLeAqVdDQN7z2TooeGksOh/Y6xGV0PRv1HR9mXLCo9ReJCaRQP7z2Xo/o3l9j2pY3eO//fzzlu6lI2xvrB3sO2BXdJs4HvAByPiq5I2lAnsWXM1GM/RCZx66UksO/+6tta3UyZsS2GwLv6Cpd58INaMfE+yZu+VK4sFg7myzYfm+9hXL87XZ3sf+23nsPiIywC4fMP+ufWWr67Rx74q38fe92D+g2HmQ/ljz1qff9/O3JgPuv2b8tG+f3O+T7vnsREAlpx1GMuvvDMpGx7JractNe4SG8nvk5H89jFasF5BWWwr+AAp+lAp6mNP/6eXfPAEll94Q7ptjf/zkn3iNafWm+T+iretfYzd6n+/pB/FDTUD+4TJU0nHAbdGxKOSXg08A7gsIu4tsW0/8BXgcxHx1bR4jaT9IuIBSfsBa0u3ZHdSMqEKzQ3724qE6rn7LuCMZcly2SF/oZG7VDuXUI0eMbZn7fRqrSOUTap2NKEqUHqCUHiHKjQ17K8Tqt2rzH/CJ4HHJB0FvAO4l+Rql7qUvKOuAu6IiI9knvomcHq6fDrwjYZqbGZmdZUJ7KORfLd7GcmZ+mXAnBLbHQe8Bjhe0q3pz8nAh4AXSfot8KL0sZmZtUiZ69g3SXoX8GpgsaReSoytFBHfp/Y31BPKV9HMzBpR5oz9r4Fh4MyIeJDkksVL21orMzObtAnP2NNg/pHM4z9Qoo/d2qBmIqmJYX9bkFCdcTIsXJHUrZk5VGHqE6rRAyOzk3+LskP+1jrK1CdUBekVU0V3qELr51Fta0I1u+ykal01A7ukTdR530TE3LbUyMzMmlIzsEfEHABJ7wceBD5LcnJxGuWSp2ZmNgXKfE99SUR8IiI2RcTGiPgk8PJ2V8zMzCanTGDfJuk0Sb2SeiSdBtQaZ9DMzKZYmcD+N8CpwJr0Z0laZmZmXajMVTErSW5Osm7VzHjuLbhSpuf4hcy+KxnUqOxY7lD+aplOXikTvWJkTn7snXHT6koZCXrqn7tNaoLs7StO0ZUy4OEHJlBmrJgFwBtIJsbYvn5EvL591TIzs8kqc+fpN4D/Br6D+9bNzLpemcC+Z0S8s+01MTOzliiTPL02HbzLzMymgTJn7OcA75Y0DIyQ5HXCd552uU4mVEdH0br1QPmx3KG54QfalVCNXhie2/i47mWTqp1OqCqdNauRtKITqtNfmatifJepmdk0UuaMHUkDwCHArPGyiFjRrkqZmdnklbnc8SyS7phFwK3AscAPgePbWzUzM5uMMp2J5wDPAu6NiBcATwfWtbVWZmY2aWW6YrZExBZJSJoZEb+RdFjba2at166E6rYxIl0uO5Y7lL9LtZMJ1bE+sWVwvBWTnxwbuiChKkFfX7pe/g7Vndad6DjdkFDNLnuC7LrKBPZVkuYDXweulzQErG5vtczMbLLKXBXzl+nixZJuBOYB325rrczMbNLKXhXzDOB5JN/cfhARRV/MzcysC0zYiSjpvcA1wBOAvYFPS3pPuytmZmaTU+aM/VXA0yNiC4CkDwE/A/6hnRWzDmlFQjWC2DqSLJcc8hfK36XayYRq9AXDe4+/Js1Pjr2rjiZUJZQmT2ulCxufIDuz7VQlVJOVS+2zeNvqJ1TLvEtXkrkxCZgJ3N2W2piZWdNqnrFL+j8kH97DwO2Srk8fvwj4fmeqZ2ZmjarXFfPT9PctwNcy5Te1rTZmZta0moE9Iq4ZX5Y0Azic5Iz9Tl8VY2bWvcqMFXMy8C8k/eoCDpb0txFxXbsrZ1Ok0YRqBDGeSCs55C+Uv0u1kwnV6AtG9x1vRNkhf6GZpGrbEqoS9PfXXa/heVQn0LaEqrRTcrXlw/5WLKFa5qqYjwAviIjfAUh6EvAfgAO7mVkXKnOasXY8qKfuAda2qT5mZtakelfF/FW6eLukbwHLSL6RLQF+0oG6mZnZJNTrivnzzPIa4E/T5XXAQNtqZGZmTal3VcwZnayIdbmJEqppkqr0kL9Q+i7VTiZUZz66iIMHkukGyg/5C62+S7UlCVUB/fXTaJOZR7XeeoXHaHFCFTo0j+o0TqiWuSrm0xT8DSPi9W2pkZmZNaXMVTHXZpZnAX+Jx2M3M+taZcZj/0r2saQvAN9pW43MzKwpk+kEPAT441ZXxMzMWqNMH/smkj52pb8fBN7Z5nrZdJBNJG1fLjnkL5S+S7WTCdWBlYexZOEtQCND/kL5u1Q7mFDt6SFmzahZk1q6NqE6wZynTqjuUKYrZk4nKmJmZq1R8/RB0oGS5mUev0DSZZLeng4KZmZmXaje98JlwF4Ako4GlgN/AI4GPtH+qpmZ2WTU64rZIyLGL2t8NfCpiPiwpB7g1vZXzczMJqNeYM9mCY4H3gUQEWMqSiDsurE0C1hBMpVeH/DliHifpIOBLwKDJHOnvsbju1dIySF/oYG7VDuYUF3Rt5WXz7+/YE+JooQqNHKXagcTqhJjM/vrHqHheVQzOp5QzSZHWz2PasUSqvXeUd+VtEzSZSRjw3wXQNJ+1L5JPGsYOD4ijiLpvjlR0rHAJcBHI+IQYAg4s5kGmJnZzuoF9rcBXyWZzPp5EZFOQ8++wIUT7TgSm9OH/elPkJz9fzktvwY4pfFqm5lZLYo2fmWQ1EsyZ+qTgX8GLgVujognp88fAFwXEUcUbHs2cDbAwLzBYy656FIGFs1jaNUjbatvJ7ktNRR9rS0q6y04J+nL9yyOzerNlW0t6LM5cjAZ+Gvz4/swe481AKwbzXelDI3smd8YGN6aP7ZG8/UuKusZzf8PqqCbStsK1ivoLVDa1TCw90yGHhpOCmv9n48V7KBo1aLty5YVKVyvaH/Jr4H95zJ0/8Zy+57UsTunVf8v5y1dysZYX9ibVmasmEmLiG3A0ZLmk0yI/ZSi1WpsewVwBcBcDcay86/j1EtPYtn51Zi4abdqS62cTEG/pnrzgVgz8j3Jmr1XriwWDObKNh+a72NfvThfn7sXp33st53D4iMuA+DyDfvn1lu+ukYf+1C+j73vwfwHw8yH8seetT7/LzBzYz7g9m/KR/v+zfk+7Z7Hki/XS846jOVX3pmUDY/k1gPQloJe1ZH8PhnJbx+jBesVlMW2gg+Pog+Uoj72NAgv+eAJLL/whsz2RR8C5frEC/vYi1cst17htrWP0Yn//bYG9nERsUHSTcCxwHxJfRExCizCA4pVX803ecm7VDuYUD133wWcsSxZLjvkLzRyl2rnEqrRI8b2rH+/asPzqE6wXtsSqoLsRRstmUd1p9U6kFCFjn1bmPy7ZwKSFqRn6kjaA3ghcAdwI/CKdLXTgW+0qw5mZrujMmPFHAdcDByYri+S3OgTJ9h0P+CatJ+9B1gWEddK+jXwRUn/APwcuKqJ+puZ2S7KdMVcBbydJAlaazinnIj4JfD0gvJ7gGeX3Y+ZmTWmTGB/JCKqkeUzM9sNlAnsN0q6lOSa9uHxwoj4WdtqZbuHknepdjKhOuNkWLgiqVczc6jC1CdUowdGZif/4mWH/K11lKlPqAoyV0y1eh7VjiRUYUdSNZtcbUNCtUxgf076+5mZsvEbjczMrMuUGY/9BZ2oiJmZtUbNwC7p1RHxb5LOLXo+Ij7SvmqZmdlk1TtjH7+1zzMomZlNIzUDe0T8S/r77ztXHTMza1aZG5RmkQyt+zRg1nh5RLy+jfWy3dUUXynTc/xCZt+VDNBUdix3KH+1TCevlIleMTInP/ZOVsMTZE9QmyItuVJGgp76VwVN+ytldtq+uStlylw/9VmSoXpfAnyPZHyXTU0d1czM2qZMYH9yRFwEPBoR1wB/BhzZ3mqZmdlklQns4+N1bpB0BDAPOKhtNTIzs6aUuUHpCkkDwEXAN0m6I9/b1lqZmdmklblB6cp08XvARCM6mqFoTxUAABi3SURBVLVeJxOqo6No3Xqg/Fju0NzwA+1KqEYvDM9tfGTubk2oKjNrVssmyB7XiYRqjX0WajKhWuaqmPnAa0m6X7avHxFvLX0UMzPrmDJdMd8CbgZ+RdFpkpmZdZUygX1WRBQOK2BmZt2n1HXskt4gaT9Jg+M/ba+ZmZlNSpkz9q3ApcCF7MhZBE6k2lRqV0J12xiRLpcdyx3K36XayYTqWJ/YMjjeiuamN57yhKoEfX2ZdVswQXZ2204kVJOVd/5dY5/F2+5ynDoNLhPYzyW5Semhckc3M7OpVOZj/HbgsXZXxMzMWqPMGfs24FZJN7Lz1Hi+3NHMrAuVCexfT3/MzGwaKHPn6TWSZgCHpkV3RsRIvW3MpkQrEqoRxNb07V1yyF8of5dqJxOq0RcM7z3+mtSq+eSTqh1NqEookzxtzQTZmW07kFBNVm3DsL8Fytx5+nzgGmAlyet8gKTTI2JFU0c2M7O2KNMV82HgxRFxJ4CkQ4EvQMHpg5mZTbky38P6x4M6QETcRflvYWZm1mFlzth/KukqkpmUAE4DbmlflczMrBllAvvfAW8C3krSx74C+EQ7K2XWMo0mVCOI8URaySF/ofxdqp1MqEZfMLrveCOK7lCFRudRnUjbEqoS9O/Ye0vmUZ1AqxOqkCZVpZ2Sq+1IqJa5KmZY0meBz0bEutJ7NjOzKVHzo1mJiyU9BPwGuFPSOkmePcnMrIvV+871NuA44FkR8YSIGASeAxwn6e0dqZ2ZmTWsXmB/LfCqiPj9eEFE3AO8On3OzMy6UL0+9v6iER0jYp0kX+5o09dECdU0SVV6yF8ofZdqJxOqMx9dxMEDSVqs+A5VaHQe1cloSUJVQH/9lGDXJ1ShPfOoFqi3Zq238ETPmZnZFKr3EXiUpI0F5QJmtak+ZmbWpJqBPSJ6O1kRMzNrjebmyzIzs65T5s5Ts+rLJlS3L5cc8hdK36XayYTqwMrDWLIwGf2j6A5VaHwe1Z11MKHa00PM2lGvlsyjutN6HUiowo6k6gRznjY0j2oBn7GbmVXMhIFd0kkFZflTBzMz6wplztgvknT8+ANJ7wRe1r4qmZlZM8r0sf8FcK2k84ETgcPTMjMz60JlRnd8SNJfAN8hGYf9FRGFt+4VktQL/BS4PyJeKulg4IvAIPAz4DUR4RuerPuUHPIXGrhLtYMJ1RV9W3n5/PsL9rRDo/Oo7qyDCVWJsZk71mjJPKoZnUioQiapmk2OTnYe1Tqj+NYb3XGTpI3pTUq/I5nMegmwscaNS7WcA9yReXwJ8NGIOAQYAs5sYF9mZjaBmoE9IuYA84AjImJuRMyKiNkRMSci5pbZuaRFwJ8BV6aPBRwPfDld5RrglGYaYGZmO9NEvSqSbomISU1cLenLwD8Bc4ClwOuAmyPiyenzBwDXRcQRBdueDZwNMDBv8JhLLrqUgUXzGFr1yGSq0nXclu7U0rao4Et/UVlvwflVX76XdGxW/mbwrQV9NkcOJgN/bX58H2bvsQaAdaPFMygNjeyZKxvemj+2RvP1LirrGc3HExX0SmhbwXoFXQtKr90e2HsmQw8N73iiKG6NFeygKLwVbVu2rEjhejW2DRjYfy5D9zfS6VHsvKXnsXFsfWEPVJnk6c2SnhURP2nkoJJeCqyNiFskPX+8uGDVwlcgIq4ArgCYq8FYdv51nHrpSSw7/7pGqtG13JbuNGFbigIzFI68p958INaMfE+yZu+VK4sFg7myzYfm+9hXL87X5+7FaR/7beew+IjLALh8w/4FlYblqwv62Ifyfex9D+Y/GGY+lD/2rPX5f+eZG/MBt39TPtr3b873afc8NgLAkrMOY/mVd+4oHx7JrastBUmNkfw+GclvG6MF6xWUxbaCD4+iD5RafewRLPngCSy/8IbM9kUfKuWnwStSJrC/APhbSfcCj5IE54iIP5lgu+OAv5B0MsmgYXOBjwHzJfVFxCiwCFg96dqbdVrNs7iSd6l2MKF67r4LOGNZslx2yF/ozoRq9IixPevfr9rtCVVIk6oCZU4Qmp1HtUiZwJ67QamMiHgX8C6A9Ix9aUScJmk58AqSK2NOB74xmf2bmVmxCT9KI+LeiLgXeJzkw2n8Z7LeCZwr6XfAE4CrmtiXmZntYsIz9vQa9g8DC4G1wIEkly8+rexBIuIm4KZ0+R7g2Y1X1czMyijT+fUB4Fjgrog4GDgB+EFba2VmZpNWJrCPRMTDQI+knoi4ETi6zfUyM7NJKpM83SBpNrAC+JyktVCQGjbbnZUcfqCTV8rMOBkWrkjqVTT0ADQ+QXZWJ6+UiR4Ymb0jXLVkguwJtO9KGUHmUtjJT5BduyVlXt2XAY8Bbwe+DdwN/HmJ7czMbAqUGQRs/NRhTNJ/AA83MgiYmZl1Vr1BwI6VdJOkr0p6uqTbgNuANZJO7FwVzcysEfXO2D8OvJtkILDvAidFxM2SDge+QNItY2ZmXaZeYO+LiP8CkPT+iLgZICJ+o1rjZZjZDlOcUO05fiGz70oGNCsaegAanyA7q5MJ1egVI3PyY+9kdXtCdfu6EvTUT282NEF2gXqrZt+Bj+96jPKHMDOzTqp3xn5UOqGGgD0yk2uIZFAvMzPrQjUDe0TU/95jZmZdafLjaZqZWVcqc+epmbVKJxOqo6No3Xqg+A5VaHyC7Im0K6EavTA8t/Hz0G5KqCbrJklVZWbNmuwE2fXq5zN2M7OKcWA3M6sYB3Yzs4pxYDczqxgnT82mWrsSqtvGiHS5VqKt0QmyszqZUB3rE1sGs61ofoLsibQ6oQqZO0/7+jLrTnKC7DojAPiM3cysYhzYzcwqxoHdzKxiHNjNzCrGyVOzbtSKhGoEsXUkWS64QxUan0c1q5MJ1egLhvfOvibNz6Oa1YmE6vZ1JZRJnrZmHtWd+YzdzKxiHNjNzCrGgd3MrGIc2M3MKsbJU7PpotGEagQxPtRr0R2q0PA8qlmdTKhGXzC6b7YRzc+jOpG2JVQl6N+x90nPo+o7T83Mdh8O7GZmFePAbmZWMQ7sZmYV4+Sp2XQ2UUI1kuXCO1Sh8XlUMzqZUJ356CIOHli3vbwV86hORjMJVRi/8xTorx96SyVU62RofcZuZlYxDuxmZhXjwG5mVjEO7GZmFePkqVnVZBOq25fzd6jCJOZRzehkQnVg5WEsWXjL9setmEd1Z+1PqG4/Sk8PMWtHvSY9j6rvPDUz2304sJuZVYwDu5lZxTiwm5lVTFuTp5JWApuAbcBoRDxT0iDwJeAgYCVwakQMtbMeZru9wjtUoeF5VLM6mFBd0beVl8+/v2BPO0ybhKrE2Mwda0x6HtUpTp6+ICKOjohnpo8vAG6IiEOAG9LHZmbWIlPRFfMy4Jp0+RrglCmog5lZZSlqfkVrwc6l3wNDJOPX/EtEXCFpQ0TMz6wzFBEDBdueDZwNMDBv8JhLLrqUgUXzGFr1SNvq20luS3dyW2oo+tpfVNZbcK7Yl+/xHZvVmyvbWtBnc+RgMvDX5sf3YfYea7aXrxvNd6cMjeyZKxvemj+2RvP1LirrGc3HRhV0U2lbwXrFtw2gsWBg75kMPTS8o7AoBo8V7GCX1ZYuPY9HhtcU9se0+wal4yJitaQ/Aq6X9JuyG0bEFcAVAHM1GMvOv45TLz2JZedf1666dpTb0p12u7YUBux8cFZvPhBrRr4nWbP3ypXFgsFc2eZD833sqxfn63L34rSP/bZzWHzEZdvLL9+wf27d5asL+tiH8n3sfQ/mPxRmPpQ/9qz1+YA7c2M+4PZvykf7/s2juTKAnsdGWHLWYSy/8s4dZcMjufW0pSCpMVK8z8LjlF5zEiJidfp7LfA14NnAGkn7AaS/17azDmZmu5u2nbFL2gvoiYhN6fKLgfcD3wROBz6U/v5Gu+pgZhNodILsrA5eKXPuvgs4Y9mOq2ZaMUH2ztp/pQwkV8tEjxjbs/5ABKWulKlzVUw7u2L2Ab6m5OB9wOcj4tuSfgIsk3Qm8AdgSRvrYGa222lbYI+Ie4CjCsofBk5o13HNzHZ3vvPUzKxiHNjNzCrG47Gb2c66MKE642RYuGJHvVoxQXZWJxOq0QMjs3eE3klPkO3x2M3Mdh8O7GZmFePAbmZWMQ7sZmYV4+SpmU1sihOqPccvZPZdOwY0a8UE2VmdTKhGrxiZkx97J6tMQjV6nDw1M9ttOLCbmVWMA7uZWcU4sJuZVYyTp2Y2OZ1MqI6OonXrt5e3YoLsibQ+oQrQQ/TC8NzGz6lzCVUnT83Mdh8O7GZmFePAbmZWMQ7sZmYV4+SpmbVOuxKq28aITHK1FfOoZnUmoQogxvrElsFsCyZ3fu07T83MdiMO7GZmFePAbmZWMQ7sZmYV4+SpmbVXKxKqEcTWkR3lLZhHNaszCVWAGURfMLx39jWZ3Dyq0evkqZnZbsOB3cysYhzYzcwqxoHdzKxinDw1s85rNKEaQWzLZFdbMI9qVicSqpAkVaMvGN0324DJzaMadaZN9Rm7mVnFOLCbmVWMA7uZWcU4sJuZVYyTp2bWHSZKqMaO5ZbMo5rRiYQqJEnVmY8u4uCBddvLJjuP6piTp2Zmuw8HdjOzinFgNzOrGAd2M7OKcfLUzLpXNqG6U3K1BfOoZnQyoTqw8jCWLLxl++PJzqMadaK3z9jNzCrGgd3MrGIc2M3MKsaB3cysYtoa2CXNl/RlSb+RdIek50oalHS9pN+mvwfaWQczs91Nu6+KuQz4dkS8QtIMYE/g3cANEfEhSRcAFwDvbHM9zKxKWjFBdlYHrpSB5GqZFX1befn8+wufH1fmSpnoL3oNEm07Y5c0F1gMXAUQEVsjYgPwMuCadLVrgFPaVQczs92RovCTrwU7lo4GrgB+DRwF3AKcA9wfEfMz6w1FRK47RtLZwNkAA/MGj7nkoksZWDSPoVWPtKW+nea2dCe3pTu1tC0qOBcvKustOO/ty3dyjM3Kj8a1tejUHjhycB2bH9+H2Xus2V62bjQ/4NfQyJ65suGtOx976dKlDP9+VdEXi7Z2xfQBzwDeEhE/knQZSbdLKRFxBckHA3M1GMvOv45TLz2JZedf157adpjb0p3clu5Uqi2FATsfnNWbD8Sa0Z8vm71XriwWDObKNh+a74pZvbgw3nL34stZcds5LD7isu1ll2/YP7fe8tUFXTFDRTctFWtn8nQVsCoifpQ+/jJJoF8jaT+A9PfaNtbBzGy307Yz9oh4UNJ9kg6LiDuBE0i6ZX4NnA58KP39jXbVwcx2I12eUIUkqXruvgs4Y9mO5OpkJ8h+eMZozXXbfVXMW4DPpVfE3AOcQfItYZmkM4E/AEvaXAczs91KWwN7RNwKPLPgqRPaeVwzs92Z7zw1M6sYB3Yzs4rxeOxmVl1dlFCFJKk642RYuGJHvSY7QfY9/fm6jPMZu5lZxTiwm5lVjAO7mVnFOLCbmVWMk6dmtnuZooQqJEnVnuMXMvuuHQOaTXaC7E/1jtQ4is/Yzcwqx4HdzKxiHNjNzCrGgd3MrGLaNoNSK0laB9wL7A08NMXVaRW3pTu5Ld3Jbck7MCIKZ9+YFoF9nKSfRkTRaJHTjtvSndyW7uS2NMZdMWZmFePAbmZWMdMtsF8x1RVoIbelO7kt3cltacC06mM3M7OJTbczdjMzm8C0CeySTpR0p6TfSbpgquvTCEmfkrRW0m2ZskFJ10v6bfp7YCrrWJakAyTdKOkOSbdLOictn3btkTRL0o8l/SJty9+n5QdL+lHali+lk7F3PUm9kn4u6dr08bRsB4CklZJ+JelWST9Ny6bdewxA0nxJX5b0m/T/5rntbsu0COySeoF/Bk4Cngq8StJTp7ZWDbkaOHGXsguAGyLiEOCG9PF0MAqcFxFPAY4F3pT+LaZje4aB4yPiKOBo4ERJxwKXAB9N2zIEnDmFdWzEOcAdmcfTtR3jXhARR2cuDZyO7zGAy4BvR8ThwFEkf6P2tiUiuv4HeC7wn5nH7wLeNdX1arANBwG3ZR7fCeyXLu8H3DnVdZxku74BvGi6twfYE/gZ8BySm0f60vKd3nvd+gMsSgPE8cC1JAMMTrt2ZNqzEth7l7Jp9x4D5gK/J81ndqot0+KMHdgfuC/zeFVaNp3tExEPAKS//2iK69MwSQcBTwd+xDRtT9p9cSuwFrgeuBvYEBGj6SrT5b32MeAd7Bh/9glMz3aMC+C/JN0i6ey0bDq+x54IrAM+nXaTXSlpL9rclukS2IuGN/blPFNI0mzgK8DbImLjVNdnsiJiW0QcTXLG+2zgKUWrdbZWjZH0UmBtRNySLS5YtavbsYvjIuIZJN2vb5K0eKorNEl9wDOAT0bE04FH6UAX0nQJ7KuAAzKPFwGrp6gurbJG0n4A6e+1U1yf0iT1kwT1z0XEV9PiadsegIjYANxEkjeYL2l8Eprp8F47DvgLSSuBL5J0x3yM6deO7SJidfp7LfA1kg/d6fgeWwWsiogfpY+/TBLo29qW6RLYfwIckmb5ZwCvBL45xXVq1jeB09Pl00n6qrueJAFXAXdExEcyT0279khaIGl+urwH8EKSxNaNwCvS1bq+LRHxrohYFBEHkfxvfDciTmOatWOcpL0kzRlfBl4M3MY0fI9FxIPAfZIOS4tOAH5Nu9sy1cmFBpIQJwN3kfSBXjjV9Wmw7l8AHgBGSD7BzyTpA70B+G36e3Cq61myLc8j+Ur/S+DW9Ofk6dge4E+An6dtuQ14b1r+RODHwO+A5cDMqa5rA216PnDtdG5HWu9fpD+3j/+/T8f3WFrvo4Gfpu+zrwMD7W6L7zw1M6uY6dIVY2ZmJTmwm5lVjAO7mVnFOLCbmVWMA7uZWcU4sFtLSNqWjsT3C0k/k/Q/JrGPzQ0c5/b0WOdKauv7WNIbJb22gfV7JP1vSbelIxT+RNLBE2xztaRXFJS/TtLHJ1PvEvWc8PW26alv4lXMSnk8klvzkfQS4J+APy2zYXrTU9Et8BMd54+AzwPzgPc1XOOSIuLyBjf5a2Ah8CcRMSZpEcmt5GYd4TN2a4e5JMPEImm2pBvSs/hfSXpZWn5QOjb1J0hGVdw+ZISkvSX9UNKf1TtIJLebnw28WYlZkj6dHufnkl6Q7u91kr4u6d8l/V7Sm9Mz/Z9LulnSYLreG9Kz619I+oqkPdPyiyUtTZdvknSJknHc75L0Pwuqth/wQESMpfVcFRHjr8f2s2RJr5B0dWa7F0r673S/L82UHyDp20rmI3hfZvuvp4Nk3Z4ZKAtJmyV9MG3HzZL2ScsPTl/Xn0j6QGb9/SStSL8J3VajTTadTPVdWf6pxg+wjeQu1N8AjwDHpOV9wNx0eW+SuyBFMozxGHBsZh+bgX1IRot8UY3jbC4oG0q3Ow/4dFp2OPAHYBbwuvS4c4AFaf3emK73UZKBzACekNnnPwBvSZcvBpamyzcBH06XTwa+U1CfRSTDzt4KfBh4elH9SW73vzpdvhr4NsnJ1iEkdyiP1/0BkjsV9yC5Q/aZ6TaD6e/x8iekjwP483T5fwHvSZe/Cbw2XX7TeF3S12387s5eYM5Uv5/809yPz9itVR6PZFKEw0kmFflMpovlHyX9EvgOydCx+6Tb3BsRN2f20U9ye/U7IuL6Bo493o3zPOCzABHxG+Be4ND0uRsjYlNErCMJ7P+elv+K5EMG4Ij0jPlXwGnA02ocb3zgs1sy224XEauAw0jmDRgDbpB0Qol2LIuIsYj4LXAPyYcTwPUR8XBEPJ4e+3lp+Vsl/QK4meQbzyFp+VaSMdl3reNxJMNbQPo6pX4CnCHpYuDIiNhUoq7WxRzYreUi4ockZ+cLSALkApIz+KOBNSRnopDvdx4lCUQvKXssSU8k+bawlvr99MOZ5bHM4zF25JquBt4cEUcCf5+pZ619baNGnioihiPiuog4H/hH4JTxpzKr7br/Xcf3iFrlkp5PMmjZcyOZAernmf2NRMT4NrvWMTeGSESsABYD9wOfbSRRbN3Jgd1aTtLhJF/pHyZJbK6NiJG0z/vAOpsG8HrgcJWY11bSAuBy4ONpIFtB8kGCpEOBPyaZqaasOcADSoYlPq2B7Xat1zMkLUyXe0gGG7s3fXqNpKek5X+5y6ZL0itqnkQyENZ43V+kZI7MPUg+IH5A8roORcRj6et9bImq/YBk9Eey7ZN0IMnf6F9JRu58RoNNti7jq2KsVfZQMhMRJGfOp0fENkmfA/5dyYTE433wNaXbvDLdZmNEfKLGcfpJzvA/C4wPH/wJ4PK0K2UUeF1EDCc9QqVcRNK/fy9JF82cshvu4o+Af5U0M338Y2D8ksULSLpJ7iPpF5+d2e5O4HskXVVvjIgtad2/T9LOJwOfj4ifpm18Y9rFdSdJd8xEzgE+r2QC8q9kyp8PnC9phCTP4TP2ac6jO5qZVYy7YszMKsaB3cysYhzYzcwqxoHdzKxiHNjNzCrGgd3MrGIc2M3MKsaB3cysYv4fCK3np9G+08cAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "fs=32000 # sampling frequency of audio signal\n",
    "maxfreq=fs/2\n",
    "alpha=0.6 #Exponent for non-linear superposition of spreading functions\n",
    "nfilts=64 #number of subbands in the bark domain\n",
    "spreadingfuncmatrix=spreadingfunctionmat(maxfreq,nfilts,alpha)\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.imshow(spreadingfuncmatrix)\n",
    "plt.title('Matrix spreadingfuncmatrix as Image')\n",
    "plt.xlabel('Bark Domain Subbands')\n",
    "plt.ylabel('Bark Domain Subbands')\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "## Masking Neighboring Bands Non-Linear Superposition"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    " - Observe that we **don't need any tonality estimation** for this model!\n",
    " - Usually our signal from the filter bank is like a \"voltage\", not like a power as in this model.\n",
    " - We obtain a **\"power\"** if we **square** our signal.\n",
    " - Hence our exponent is multiplied by a factor of 2.\n",
    " - We get a $\\rightarrow$ 2*a, hence our exponent becomes 0.6.\n",
    " \n",
    " \n",
    " - Observe: The frequency index is on the **Bark-scale**, as can be seen in slide 12.\n",
    " - Hence we need a **mapping** from **Hertz to Bark**, from our linear filter bank scale to the bark scale, where we apply masking.\n",
    " - Then we need an **inverse mapping**, from **Bark to Hertz**, to apply our found masking threshold to the **quantization stepsizes** of our **linearly spaced** subbands."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Bark Scale Approximations"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hide_input": true,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    " - There are several functional approximations of the Bark scale for this mapping.\n",
    " - An example of an overview can be seen in:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "hide_input": true
   },
   "outputs": [
    {
     "data": {
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       "<iframe width=\"560\" height=\"315\" src=\"https://www.youtube.com/embed/sXgsZgr2Akc?rel=0\" frameborder=\"0\" allow=\"accelerometer; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen></iframe>\n"
      ],
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       "<IPython.core.display.HTML object>"
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     "metadata": {},
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    "%%html\n",
    "<iframe width=\"560\" height=\"315\" src=\"https://www.youtube.com/embed/sXgsZgr2Akc?rel=0\" frameborder=\"0\" allow=\"accelerometer; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen></iframe>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "hide_input": true,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<iframe src=\"https://ccrma.stanford.edu/courses/120-fall-2003/lecture-5.html\" width=\"900\" height=\"600\"> </iframe>\n"
      ],
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       "<IPython.core.display.HTML object>"
      ]
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   "source": [
    "%%html\n",
    "<iframe src=\"https://ccrma.stanford.edu/courses/120-fall-2003/lecture-5.html\" width=\"900\" height=\"600\"> </iframe>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
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    }
   },
   "source": [
    " - The approximation we previously saw is from: <br> Zwicker & Terhardt (1980), \"Analytical expressions for critical-band rate and critical bandwidth as a function of frequency\", Article in The Journal of the Acoustical Society of America 68(5):1523 · November 1980\n",
    " https://www.researchgate.net/publication/209436182_Analytical_expressions_for_critical-band_rate_and_critical_bandwidth_as_a_function_of_frequency\n",
    " \n",
    " \n",
    " - In Python notation, the approximation is, with f in Herz and z in Bark:\n",
    "```python \n",
    "z=13*arctan(0.00076*f)+3.5*arctan((f/7500.0)**2)\n",
    "```\n",
    "\n",
    " - It only has an approximate closed form inverse formula, according to http://www.auditory.org/postings/1995/34.html\n",
    "```python\n",
    "f= (((exp(0.219*z)/352.0)+0.1)*z-0.032*exp(-0.15*(z-5)**2))*1000\n",
    "```\n",
    " \n",
    " - We can test the Zwicker & Terhard approximation in ipython:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "### Bark Scale Approximations, Zwicker&Terhard"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
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   "outputs": [
    {
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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Frequency array between 0 and 20000 Hz in 1000 steps:\n",
    "f=np.linspace(0,20000,1000)\n",
    "#Computation of Zwickers Bark approximation formula:\n",
    "z=13*np.arctan(0.00076*f)+3.5*np.arctan((f/7500.0)**2)\n",
    "#plot Bark over Hertz:\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(f,z)\n",
    "plt.xlabel('Frequency in Hertz')\n",
    "plt.ylabel('Frequency in Bark')\n",
    "plt.title('Zwicker&Terhard Approximation')\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hide_input": false,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "### Bark Scale Approximations, Zwicker&Terhard, Inverse"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    " - We can test the Zwicker & Terhard **inverse** approximation in ipython:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "hide_input": false,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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QhgwZkrf8wQcf8NVXXxEZGVms/VesWFFSRSMnJwd3d/dz0h599FEef/xxp+R1KbKzs/HwqNiXbmWoo1JKqctTYi1xItJIRJaKyFYR2SIi/7DTA0RkoYjstP+taaeLiLwjIrtEZKOIdHbI6257+50icrdDeqiIbLL3eUcqwH2kHTt2MHnyZL744gvc3Nx48MEHmTNnDmAFe6NHjwbg448/ZtKkSQD4+Pjk7f/qq6/Svn17OnbseF4rWW5uLnfffXfefgsWLOCqq66ic+fODBs2jNTUVMB6qsXkyZPp2bMn3377bbHKvXjxYjp16kT79u158MEHycjIOC+vr776itDQUAD++usvRIT9+/cD0Lx5c9LS0vj555/p1q0bnTp14pprriEhIQGwWgDHjBnDddddx1133cWZM2cYMWIEHTp0YPjw4Zw5c6bAck2ePJkuXbrQrl07xowZgzEGsFrSxo8fT9euXWnVqhUxMTEAxc7XkY+PDxMnTqRjx4707duXhIQEkpOTCQ4OJjc3F4C0tDQaNWpEVlYWcXFx9O/fn9DQUHr16sW2bdsAGDVqFI899hgRERGMHz+eZcuW5bV4durUiZSUFABee+01unTpQocOHXjuueeK9fkopZSqeEryT/1s4P+MMetFxBdYJyILgVHAYmPMFBGZAEwAxgMDgJb2qxswHegmIgHAc0AYYOx85hhjTtrbjAFWAXOB/kDx7kEW4vmftxB76NTlZHFei1Ob+jV4blDbC+6XlZXFyJEjmTZtGo0bNwagd+/exMTEMHjwYA4ePMjhw4cBWL58OSNGjDhn/3nz5vHTTz+xevVqqlWrxokTJ/LWZWdnc/vtt9OuXTsmTpzI8ePHefHFF1m0aBHVq1dn6tSpvPHGGzz77LOANU3F8uXLCyznm2++yZdffgnA1KlT6dOnD6NGjWLx4sW0atWK2267jenTp/PII4+cl9fUqVM5deoUMTExhIWFERMTQ8+ePalTpw7VqlWjZ8+erFq1ChHho48+4tVXX+X1118HYN26dSxfvpyqVavyxhtvUK1aNTZu3MjGjRvp3LlzgWUdN25cXp3uvPNOfvnlFwYNGpR3TtasWcPcuXN5/vnnWbRoEdOnTy9Wvo5Onz5N9+7deemll3jkkUf48MMPmTRpEh07dmTZsmVERETw888/ExkZiaenJ2PGjOH999+nZcuWrF69mgcffJAlS5YAVhC/aNEi3N3dGTRoEO+99x49evQgNTUVb29vFixYwM6dO1mzZg3GGAYPHkx0dDS9e/e+YDmVUkpVLCXWEmeMOWyMWW+/TwG2Ag2AG4HP7M0+A26y398IfG4sqwB/EakHRAILjTEn7MBtIdDfXlfDGLPSWM0rnzvkVS4988wztG3b9pzgrFevXsTExBAbG0ubNm0ICgri8OHDrFy58ry+cIsWLeKee+6hWrVqAAQEBOStu//++/MCOIBVq1YRGxtLjx49CAkJ4bPPPmPfvv89nm348OGFlvPRRx9lw4YNbNiwgcjISLZv307Tpk1p1aoVACNHjiQ6OrrAvK6++mp+//13oqOjefrpp4mOjiYmJoZevXoB1nQvkZGRtG/fntdee40tW7bk7Tt48GCqVq0KQHR0NHfccQcAHTp0oEOHDgWWdenSpXTr1o327duzZMmSc/K7+eabAQgNDWXv3r0Xla8jLy8vBg4cCEBISEheXsOHD2fWrFkAzJw5k+HDh5OamsqKFSsYNmwYISEh3H///XmBOcCwYcPy/gDo0aMHjz32GO+88w5JSUl4eHiwYMECFixYQKdOnejcuTPbtm1j586dFyyjUkopJ8rJpk5CNNh3d1ylVDrdiEgw0AlYDQQZYw6DFeiJSB17swbAAYfd4u20otLjC0gv6PhjsFrsCAoKIioq6pz1fn5+ebeqHgtvfJG1O19Bfb/O5l+YmJgYvv32W2JiYs7ZtkaNGiQmJjJ79my6du3KyZMn+fzzz/MCtbPbpqSkkJGRQUZGxnnHysnJoUuXLixatIgxY8bg7e1NWloa4eHhfPrpp+eV0xiDMabAMmdkZODp6XnOutTUVHJycvLScnNzyc7OLjCvsLAwFi9ezO7du+nbty8vv/wy2dnZREZGkpKSwoMPPsi4ceO4/vrriYmJ4ZVXXsmrm4+PT14+2dnZnDlz5pxjnj59+pxypaenM3bsWJYtW0bDhg15+eWXSU5OJiUlhZycnLwynjlzhqysLFJSUoqV79lzejbd09Mz71a0iOTtHxERwYQJE9i3bx9r166lS5cuJCcn4+fnl3f71vG8Z2Vl4ebmlneshx56iPDwcBYsWEC3bt2YM2cOGRkZPProo3m31R33d5Senn7edV7SUlNTS/2YZUllrn9lrjtU7vpXxrr7n/yLljs/ok3afv76sQYnA0JcVpYSD+JExAf4HnjEGHOqiG5rBa0wl5B+fqIxHwAfAISFhZnw8PBz1m/dutWpE7Re7ISvJ0+e5KGHHuK///0v9evXP299jx49mD59OkuWLCExMZGhQ4cydOjQc47h6+vLwIEDmTx5MqNHj867nRoQEIC7uzsPPPAA0dHRjB49mh9//JGIiAgef/xxEhISaNGiBWlpacTHx9OqVStEBB8fnwLrUKVKFapUqXLOutDQUA4cOJCX1zfffEO/fv3w9fU9L6/IyEheeuklevfujZ+fH7Vr12bhwoVMmzYNX19fUlNTadGiBb6+vnz77be4u7vj6+t73nH79u3Ljz/+yA033MDmzZvZvHkz1atXP6dcOTk5iAjBwcHk5OTw888/5503d3f3vO0zMjIQEXx9fYuVL3DO/mfPP4Cbmxuenp74+vri6+tLt27dmDRpEoMGDcLf3x9/f3+aNWvG/PnzGTZsGMYYNm7cSMeOHfH09KRq1ap5ecXFxdG9e3e6d+/O+vXrOXDgAIMGDeKZZ57h3nvvxcfHh4MHD+Lp6UmdOnXOKZ+3tzedOnUq9jXoDFFRUeT/blUmlbn+lbnuULnrX6nqfnIfLJgIW38G/yZsavY0HYf8A1zYHb9EpxgREU+sAO4rY8wPdnKCfSsU+9+jdno80Mhh94bAoQukNywgvdx5//33OXr0KGPHjj1nmpGzt+J69epFdnY2LVq0oHPnzpw4cSLv9qOj/v37M3jwYMLCwggJCWHatGnnrH/sscfo3Lkzd955J7Vq1WLGjBncdtttdOjQge7du+d1sL9Y3t7efPrppwwbNoz27dvj5ubGAw88UOC2wcHBAHl9uHr27Im/vz81a9YErAEMw4YNo1evXgQGBhZ6zLFjx5KamkqHDh149dVX6dq163nb+Pv7c99999G+fXtuuukmunTpcsG6FCffizF8+HC+/PLLc24pf/XVV3z88cd07NiRtm3bMnv27AL3feutt2jXrh0dO3akatWqDBgwgOuuu46RI0dy1VVX0b59e4YOHXrBVl6llFKXITMNlr4M73WFXYuh7zPw0BoSA7u5NIADyLvd5ewXVkvZ58Bb+dJfAybY7ycAr9rvb8AalCBAd2CNnR4A7AFq2q89QIC97g97W7H3vf5C5QoNDTX5xcbGnpd2OU6dOuXU/Mqbylz/slJ3Z1/TxbF06dJSP2ZZUpnrX5nrbkzlrn+FrnturjGbvjfm9TbGPFfDmG9HG5MUn7e6tOoOrDWFxDQleTu1B3AnsElENthpTwNTgG9E5F5gPzDMXjcXuB7YBaQB9wAYY06IyAt2wAYw2RhzdtjlWGAGUNUO4i5rZKpSSimlFEc2w7zxsG851G0Pt3wITYqeWN8VSiyIM8Ysp+B+awD9CtjeAA8VktcnwCcFpK8F2l1GMZVSSimlLGknYOlLsPYT8PaHgW9C57vB7fInqi8JOiW8UkoppSq3nGxY96kVwKWfgi73QcRTULWmq0tWJA3ilFJKKVV57V1u3TpN2AxNe0P/qRDUxtWlKhYN4pRSSilV+SQdgIXPwJYfwa8x3Po5XDnY9SNOL4IGcUoppZSqPLLOwO/vwPI3reXwp6HHw+BZ1bXlugQlOk+cKj7Hh9g7GjVqFN99990l5blhwwbmzp2btzxnzhymTJkCwE8//URsbOwl5auUUkqVO8ZA7Gx4tytEvQyt+8O4PyB8fLkM4ECDuAotfxA3ePBgJkyYAGgQp5RSqhJJiIXPB8M3d0EVX7j7Fxg2A/wbXXDXskyDuDLGGMO4ceNo06YNN9xwA0ePHs1bt27dOvr06UNoaCiRkZF5D04PDw9n/PjxdO3alVatWhETE0NmZibPPvsss2bNynv6w4wZMxg3bhwrVqxgzpw5PPHEE4SEhBAXF0fnzp3zjrNz505CQ0NLve5KKaWUU505CXOfhPd7wuGNcP00uD8amp7/1KPySPvE5TdvAhzZdFlZVM3JBneHU1u3PQyYUqx9f/zxR7Zv386mTZtISEigTZs2jB49mqysLP7+978ze/ZsateuzaxZs5g4cSKffGJNn5ednc2aNWuYO3cuzz//PIsWLWLy5MmsXbuWd999F4AZM2YAcPXVVzN48GAGDhzI0KFDAfDz82PDhg2EhITw6aefMmrUqMs6B0oppZTL5ObA+s9h8WRIT4Kw0RAxEaoFuLpkTqVBXBkTHR3Nbbfdhru7O/Xr16dv374AbN++nc2bN3PttdcC1sPd69Wrl7ffzTffDFgPo9+7d+9FH/dvf/sbn376KW+88QazZs1izZo1l18ZpZRSqrTtWwnznoQjG6FJDxgw1WpMqYA0iMuvmC1mRTmTkoKvr+8l7y8FDG82xtC2bVtWrlxZ4D5VqlQBwN3dnezs7Is+5i233MLzzz9P3759CQ0NpVatWhedh1JKKeUyyQdh4bOw+Tuo0RCGfgpth5SrKUMulvaJK2N69+7NzJkzycnJ4fDhwyxduhSA1q1bc+zYsbwgLisriy1bthSZl6+vLykpKcVa5+3tTWRkJGPHjuWee+5xUm2UUkqpEpaVDtHT4N0w2Poz9BlvjTptd3OFDuBAg7gyZ8iQIbRs2ZL27dszduxY+vTpA4CXlxffffcd48ePp2PHjoSEhLBixYoi84qIiCA2NjZvYIOjESNG8Nprr9GpUyfi4uIAuP322xERrrvuupKpnFJKKeUsxsC2X+Hf3WDJC9CiH4xbAxFPg1c1V5euVOjt1DIiNTUVsG6lnh2IkF9ISAjR0dHnpUdFReW9DwwMzOsTFxAQwB9//HHOtmcHLPTo0eO8KUaWL1/O6NGjcXcvmw/6VUoppQA4th3mT4C4JVD7SrhrNjQLd3WpSp0GcQqwWgDj4uJYsmSJq4uilFJKFSw9GaKmwpr/gFd16zmnXe4Fd09Xl8wlNIhTgDW1iVJKKVUm5ebChi9h0fOQlgihd0PfZ6B6oKtL5lIaxCmllFKq7Dqwxpoy5NCf0Kg73PE91A9xdanKBA3ibMaYAqf2UKq8Mca4ughKKXX5Th2GRf+EjTPBtz7c/BG0H1rhR5xeDA3isKbXSExMpFatWhrIqXLNGENiYiLe3t6uLopSSl2a7AxY9W9r2pCcTOj1f9DzMaji4+qSlTkaxAENGzYkPj6eY8eOOSW/9PT0Sv0jWpnrXxbq7u3tTcOGDV1aBqWUuiQ7frNGnZ7YDa1vgMgXIaCZq0tVZmkQB3h6etK0aVOn5RcVFUWnTp2cll95U5nrX5nrrpRSl+z4Tpj/FOxaCIGt4I4frHnfVJE0iFNKKaWUa6SfguhXYdX74FkVIl+GrmMq7ZQhF0uDOKWUUkqVrtxca8DCwufg9DHodAf0exZ86ri6ZOWKBnFKKaWUKj3x62DeE3BwHTTsAiNnQoNQV5eqXNIgTimllFIlLyUBFk+2Ju31CYIh/4H2t4KbPsb9UmkQp5RSSqmSk51pPSYraipkp0OPR6D341DF19UlK/c0iFNKKaVUydi5yJoyJHEntIyE/q9AreauLlWFoUGcUkoppZwrMQ5+mwg75kFAcxj5LbS6ztWlqnA0iFNKKaWUc2SkQsw0WPkeuHvBtZOh21jw8HJ1ySqkEutNKCKfiMhREdnskDZLRDbYr70issFODxaRMw7r3nfYJ1RENonILhF5R+znYolIgIgsFJGd9r81S6ouSimllCqCMfDXLHg3DJa/CaiYXvIAACAASURBVO2Gwt/XQY9/VMgA7nhqBusTsknPynFpOUqyJW4G8C7w+dkEY8zws+9F5HUg2WH7OGNMSAH5TAfGAKuAuUB/YB4wAVhsjJkiIhPs5fFOroNSSimlinLoT5g3Hg6shvqd4NYvoFEXV5fKabJyctl6+BR/7k9i/f6TrN9/kgMnzgDQq1syXYIDXFa2EgvijDHRIhJc0Dq7Ne1WoG9ReYhIPaCGMWalvfw5cBNWEHcjEG5v+hkQhQZxSimlVOlIPUar7e9C1CKoHgg3vgcdR5b7KUOOnkpn/f4k/rQDto3xyWRk5wIQVKMKnRvX5M7uTZDEvbRv4OfSsrqqT1wvIMEYs9MhramI/AmcAiYZY2KABkC8wzbxdhpAkDHmMIAx5rCI6DTPSimlVEnLyYI1H0LUFOpmpsJVD0GfJ8HbtQHNpcjMziX28CnW77MCtj/3J3EwyWpl83J3o22DGtzerQmdm/jTqXFN6vt5Y/fqIirqAN6e7q4sPmKMKbnMrZa4X4wx7fKlTwd2GWNet5erAD7GmEQRCQV+AtoCrYFXjDHX2Nv1Ap40xgwSkSRjjL9DnieNMQX2ixORMVi3ZAkKCgqdOXOmk2t6rtTUVHx8fEr0GGVZZa6/1r1y1h0qd/0rc92hctW/5okNtNj1IdXT4jlRsxN/1R+J1G7l6mIV2+ksQ1xSDjtO5rLzZA67k3PJshrZCPAWmvu70cLfneZ+bjSu4YaXuxSaV2l97hEREeuMMWEFrSv1ljgR8QBuBvKesWGMyQAy7PfrRCQOaIXV8tbQYfeGwCH7fYKI1LNb4eoBRws7pjHmA+ADgLCwMBMeHu68ChUgKiqKkj5GWVaZ6691D3d1MVymMte/MtcdKkn9T+yBBZNg2y9QMxhunElAq/7IsmVluu6Hk8/wx96TrN17gj/2nmTbkVMYA+5uQrv6NbizTQBhwTXp1Nifen5VLyrvsvC5u+J26jXANmNM3m1SEakNnDDG5IhIM6AlsNsYc0JEUkSkO7AauAv4l73bHOBuYIr97+zSrIRSSilV4WWehpg3YMW/wM3Dekh994fA09vVJTtPbq5h17FU/th7grV7T7Jmz4m8W6PVvNwJbVKTR/q1oktwTUIa+1PNq/zPslZiNRCRr7EGHgSKSDzwnDHmY2AE8HW+zXsDk0UkG8gBHjDGnLDXjcUa6VoVa0DDPDt9CvCNiNwL7AeGlVRdlFJKqUrFGNj8PSx8Fk4dtJ5xeu3zUKO+q0uWJzsnl00Hk1m95wRr955g7b6TJKVlARDoU4WuTWtyb8+mdAkO4Mp6vni4l+8BFwUpydGptxWSPqqAtO+B7wvZfi3QroD0RKDf5ZVSKaWUUuc4vNGaMmT/CqjXEYZ+Ao27u7pUeUHbqt0nWLU7kbV7T3A605qnrVnt6kS2qUtYcE26BAfQpFa1vAEIFVn5b0tUSiml1OU7nQhLX4R1M6BqTRj0NnS6E9xcMwIzOyeXzYdOsWp3Iqt2J/LHnv8FbS3r+HBz54Z0b1aLrk0DqO1bxSVldDUN4pRSSqnKLCcb1n5iBXAZqdD1fggfbwVypUiDtounQZxSSilVWe1eBvMnwNFYaNoHBkyFOleWyqGNMWxPSGH5zuP8vus4axyCthZ1fBjSuQHdm9WiW9NaGrQVQoM4pZRSqrJJ2m9NGRI7G/wbw/Av4YqBUML9yA4lnWH5Lito+31XIsdTMwBoFlhdg7ZLoEGcUkopVVlkpsHvb8PvbwECEZPg6nHgeXFzpBVX8pksVu1O5Pddx1m+6zi7j50GINDHix4tAunRIpCeLQKp718yx6/oNIhTSimlKjpjrFa3BZMg+QC0uwWunQx+DS+870XIyM7hz/1JLN9pBW0b45PINVDV051uzQIY2bUxPVsG0jrIt1KMHi1pGsQppZRSFVnCFmvKkL0xENQehvwHgns4Lft9iadZtuMYy7YfY0VcImeycnB3Ezo29GNcRAt6tAikU+OaeHlUvHnaXE2DOKWUUqoiSjsBUa/AHx9ZD6e/4Q0IHXXZU4acycxh1Z5Elm0/xrwNaSTMjwKgcUA1hoY2pFfLQLo3r0UNb8/Lr4MqkgZxSimlVEWSm2PN9bbkRUhPgrB7IeJpqBZwSdkZY9h9/DRR24+xbMcxVu9OJCM7lyoebrT2d2Nsv9b0aV2H4EoywW5ZokGcUkopVVHs/d26dZqwCYJ7Qf8pUPe8hx5d0OmMbFbEJRK1/SjLdhwj/qT1DNJmtatze7cm9Gldm25NA1j1ewzhPZo6uxaqmDSIU0oppcq75HjrOaebvwe/RjDsM2hz40VNGRJ/Mo0l246yaOtRVsUlkpmTSzUvd65uHsgDfZrTp1VtGgVUK8FKqIulQZxSSilVXmWlw4p/wfI3wORCnwnQ4x/gdeFgKzfXsCE+icVbE1i89SjbjqQA0DSwOndd1YS+V9QhLDhABySUYRrEKaWUUuWNMbDtF/htIiTts1rdrnvRmri3CKczsonZeZzFWxNYuv0ox1MzcXcTwprUZOL1V9Lvyjo0q+1TSpVQl0uDOKWUUqo8OboN5o+H3VFQpw3c/TM07V3o5geTzrB4a8I5t0l9vT0Ib12Ha66sQ59WtfGv5lV65VdOo0GcUkopVR6cSYKoKbDmA6jiCwNeg7DR4H7uT7kxhl1HU/ltyxHmbznC5oOnAIfbpFfWoUtwAJ7uepu0vNMgTimllCrLcnPgzy9g8WRr7rewe6zHZVWvlbeJMYa/4pP5bcsRftt8hN3HrcdbdWrsz4QBV3BtmyCa623SCkeDOKWUUqqs2r8K5j0Jh/+CxlfDgKlQrwMA2Tm5rNlzgt+2HGFBbAKHk9PxcBO6N6vFPT2CubZNXer6ebu4AqokaRCnlFJKlTWnDsHC52DTN+BbH275GNrdQnp2LstjE5i/5QiLtyZwMi0Lb083ereszePXtabflXW0f1slokGcUkopVVZkZ8DKdyH6dcjNht5PkN7tYaL3pvHrrA0sik3gdGYOvt4eXHNlEJFtg+jdqjbVvPTnvDLST10ppZRyNWNgx3yY/xSc3ENO64GsavEI3+/2ZOGrK0nJyMa/mieDQ+rTv109rmpWS+dvUxrEKaWUUi51bAfMnwBxizldozlfNn6dd7c3IuWvo/hV9WRA+7rc0KE+VzevpSNK1Tk0iFNKKaVcIT2ZnKhXkdXvkyHevMMoPjzal6qnvIlsW5cbOtSjR/NAbXFThdIgTimllCpFJjeHvYs/ovbqV6iWncSs7HCmu48krE0r/tOhHj1bBlLFw93VxVTlgAZxSimlVCnYmZDC6pjf6LzlFdqYXfxpWrKgySt06hbBgla18fbUwE1dHA3ilFJKqRJyJDmdn/86xLL1m7gp8SPucI/mpFsAa0Km0ibyXjp5e7q6iKoc0yBOKaWUcqJT6VnM33SEnzYcZO3uBEa5zeNDr5/w8sjmdJe/U7PfeLpW8XV1MVUFoEGcUkopdZmyc3JZtuMY36+PZ9HWo2Rm5zLcL5Z3/T4nIH0/tBwAkS9RvVZzVxdVVSAaxCmllFKXaEdCCjO3ZfL48iUcT82gVnUvxnUQ7k75CL8DS6BWS7jle2h5jauLqiqgEgviROQTYCBw1BjTzk77J3AfcMze7GljzFx73VPAvUAO8LAx5jc7vT/wNuAOfGSMmWKnNwVmAgHAeuBOY0xmSdVHKaWUAkhKy2TOX4f4bl08G+OTcRe4pk0QwzvUpM+RGbivng4e3nDdi9D1fvDQx2CpklGSLXEzgHeBz/Olv2mMmeaYICJtgBFAW6A+sEhEWtmr3wOuBeKBP0RkjjEmFphq5zVTRN7HCgCnl1RllFJKVV7ZObnE7DzOd+viWRibQGZOLm3q1eDZgW0IPL2bwUE7rWedpiZAyB3Q71nwDXJ1sVUFV2JBnDEmWkSCi7n5jcBMY0wGsEdEdgFd7XW7jDG7AURkJnCjiGwF+gIj7W0+A/6JBnFKKaWcaNfRFL5dF8+P6w9yNCWDgOpe3N69MUNDG9K2vh8cXEfyrKdg5XZoEAYjvoaGoa4utqokXNEnbpyI3AWsBf7PGHMSaACsctgm3k4DOJAvvRtQC0gyxmQXsL1SSil1ydKzcvh142Fm/rGfP/aexMNNiLiiDkNDGxLRuo71BIXUozD7IfjzK6p6+sFN06HDCHDTpyuo0iPGmJLL3GqJ+8WhT1wQcBwwwAtAPWPMaBF5D1hpjPnS3u5jYC7gBkQaY/5mp9+J1UI32d6+hZ3eCJhrjGlfSDnGAGMAgoKCQmfOnFkyFbalpqbi4+NToscoyypz/bXulbPuULnrX1HqfiAll6gDWaw8lE1aNgRVE/o08qBHfU/8qggAkptNg4O/Erx3Jm65mcQ3HERs4PV4+9Vxceldo6J89peitOoeERGxzhgTVtC6Um2JM8YknH0vIh8Cv9iL8UAjh00bAofs9wWlHwf8RcTDbo1z3L6g434AfAAQFhZmwsPDL68iFxAVFUVJH6Msq8z117qHu7oYLlOZ61+e656Wmc0vfx3mv2v2s+FAEl4ebgxoV58RXRrTvVkAIvK/jXcthvlPwfEd0OJa6D+FxoEt2F2O63+5yvNnf7nKQt1LNYgTkXrGmMP24hBgs/1+DvBfEXkDa2BDS2ANIEBLeyTqQazBDyONMUZElgJDsUao3g3MLr2aKKWUKs82H0zm6zX7mb3hEKkZ2bSo48MzA9twc6cG1KyebzTpid3w20TYPhcCmsHIb6BVpGsKrpSDkpxi5GsgHAgUkXjgOSBcREKwbqfuBe4HMMZsEZFvgFggG3jIGJNj5zMO+A1ripFPjDFb7EOMB2aKyIvAn8DHJVUXpZRS5V96Vg5zNhzii1X72HQwmSoebtzQoR4juzYmtEnNc1vdADJSYfkbsOJf4O4F1zwP3ceCRxXXVECpfEpydOptBSQXGmgZY14CXiogfS5W/7j86bv53whWpZRSqkD7Ek/z5ap9fLM2nuQzWbSs48M/B7VhSKeG+FUr4NmlxsCm72DhM5By2BqwcM0/oUa90i66UkXSJzYopZSqcHJyDct2HOXzlftYtuMYbiL0b1uXO69qQremAee3up11+C+Y+yQcWAX1QuDWz6GRtheoskmDOKWUUhXGydOZfLP2AF+u3seBE2eo41uFh/u2ZGS3xgTV8C58x9PHYckLsO4zqFYLBr8LIbfrlCGqTNMgTimlVLm3MT6Jz1bs4+eNh8jMzqVr0wDG97+CyLZ18XQvIhDLyYI/PoaolyHzNHR/EPo8CVX9S6/wSl0iDeKUUkqVS9k5ufy2JYFPft/Dun0nqeblzrDQhtx5VROuqFvjwhnsjoJ5E+DYVmjeF/pPgdqtS7zcSjmLBnFKKaXKleQzWcz6Yz+frdjHwaQzNA6oxrMD2zA0rCE1vAsYqJDfyX2wYCJs/RlqBsOI/0Lr66GwfnJKlVEaxCmllCoX9h4/zae/7+HbdfGkZebQrWkAzw1qQ78rg3B3K0YAlpkGy9+EFe+AuEHfZ+CqceBZRF85pcowDeKUUkqVWcYYVu5O5JPle1i87SgebsKgjvUZ3aMp7Rr4FTcT2PIDLHgWTsVD+2HWnG9++shtVb5pEKeUUqrMyczOZc5fh/h4+R62Hj5FQHUv/h7RgjuuakId34toOTuyCeaNh32/Q90OcMtH0OSqkiu4UqVIgzillFJlRkp6FjPXHODj5Xs4ciqd1kG+TL2lPTeGNMDb0734GaWdgCUvwrpPwdsfBr4Fne8Ct4vIQ6kyToM4pZRSLnf0VDqfrtjLl6v2kZKezVXNajF1aAd6twwsfGLeguRkW4HbkhchIwW6joHwCVC1ZskVXikX0SBOKaWUy8QdS+XD6N38sP4g2bm5DGhXjzG9m9Gx0SXM07Ynxrp1enQLNO0N/adCUBvnF1qpMkKDOKWUUqVu/f6T/GdZHAtiE/Byd+PWLg35W89mBAdWv/jMkg7AgkkQ+xP4NYZbv4ArB+mUIarC0yBOKaVUqTDGELXjGNOj4liz5wR+VT0ZF9GCu68OJtCnysVnmHUGfn/HmjYEIGIiXP138Kzq3IIrVUZpEKeUUqpE5eYaFsQm8O7SnWw+eIr6ft48O7ANw7s0onqVS/gZMga2zoHfJkHyfmg7BK59AfwbOb/wSpVhGsQppZQqETm5hl83Hea9JbvYnpBCk1rVePWWDtzUqQFeHpf4YPmEWJg/HvZEQ1A7GPIrBPd0bsGVKic0iFNKKeVUWTm5/PTnQaZHxbH7+Gla1PHhreEhDOxQD4+iHkZflDMnYekr8MdH4F0DbngdOo8Cd/0ZU5WXXv1KKaWcIiM7h+/WxTM9Ko74k2doU68G02/vTGTburgV57FYBcnNgfWfweIXID0JwkZbfd+qBTi38EqVQxrEKaWUuiyZOYZPlu/hP9FxJJzKIKSRP5NvbEtE6zoXN8dbfvtWwrwnrKcuNOkJA6ZC3XbOK7hS5ZwGcUoppS5JRnYOM9cc4M3oMyRlxNKtaQCvDwuhR4talxe8JR+Ehc/C5u+gRkMY+qk1eEGnDFHqHBrEKaWUuiiZ2bl8u+4A7y7ZxeHkdFrVdGP6Xd24qnmty8s4Kx1W/gti3gCTC33GQ49HwKuacwquVAWjQZxSSqliycrJ5Yf18byzeBcHk87QubE/04Z1JPPApssL4IyBbb/Cb09D0j64cjBc9yLUbOK8witVAWkQp5RSqkjZObnM3nCId5bsZF9iGh0b+vHSkHb0aVUbESEq/jJucx7bbj0qa/dSqH0l3DUHmvVxXuGVqsA0iFNKKVWgnFzDLxsP8fbinew+dpo29Wrw0V1h9LvyMgcsAJxJgmVTYc0H4FUdBrwKYffqlCFKXYQLfltE5BlghjHmgEPaGGPMByVaMqWUUi5hjGHp9qO8On87246k0DrIl/fv6Mx1bS5jqpCzcnNhw5ew6HlIS4TQUdB3ElQPdErZlapMivMnz9+B20TkIWPMUjvtAUCDOKWUqmDW7j3B1Pnb+GPvSZrUqsbbI0IY1KH+5QdvAPtXw7wn4fAGaHwVDPgB6nW8/HyVqqSKE8QdBG4EvhWR74wxrwE6zlsppSqQbUdOMe237SzaepTavlV48aZ2DO/SCM9LfcKCo1OHYdFzsHEW+NaHWz6GdrfolCFKXaZidT4wxuwXkT7AdBH5FqhassVSSilVGg6cSOPNhTv4ccNBfKp48GT/1oy6OphqXk7om5adAav+Dcteg9ws6PU49HwUqvhcft5KqWIFcWsBjDHpwD0i8hDQuURLpZRSqkQdT83g3SW7+Gr1PtxEGNO7GWP7NMe/mtflZ24M7PgNfnsKTuyG1jdA5IsQ0Ozy81ZK5SlOELfZccEY856IeF5oJxH5BBgIHDXGtLPTXgMGAZlAHHCPMSZJRIKBrcB2e/dVxpgH7H1CgRlYrX9zgX8YY4yIBACzgGBgL3CrMeZkMeqjlFKVVlpmNh9G7+GD6DjSs3O5NawR/+jXkrp+3s45wPGdMP8p2LUQAlvBHT9Ai37OyVspdY7idHa4u5hp+c0A+udLWwi0M8Z0AHYATzmsizPGhNivBxzSpwNjgJb262yeE4DFxpiWwGJ7WSmlVAFycg3frD1AxLQo3ly0g96tarPg0d68cnN75wRw6adgwST4d3c4sBoiX4GxKzSAU6oEFdoSJyK3ASOBZiIyx2GVL5B4oYyNMdF2C5tj2gKHxVXA0KLyEJF6QA1jzEp7+XPgJmAe1mCLcHvTz4AoYPyFyqWUUpXN8p3HeWnuVrYePkWnxv78+/bOhDYJcE7mubnUPbwY/nUfnD4Gne6Afs+BT23n5K+UKlRRt1NXAIeBQOB1h/QUYKMTjj0a63boWU1F5E/gFDDJGBMDNADiHbaJt9MAgowxhwGMMYdFpI4TyqSUUhXGjoQUXp67lajtx2hYsyr/uq0TAzvUu/yJes+KXwfznuCKg+ugYVcYOQsaaJdppUqLGGMKXyniDvxmjLnmkjK3WuJ+OdsnziF9IhAG3Gz3b6sC+BhjEu0+cD8BbYHWwCtnjy8ivYAnjTGDRCTJGOPvkOdJY0zNQsoxBuuWLEFBQaEzZ868lOoUW2pqKj4+lXf0VWWuv9a9ctYdylb9kzMMP+7MZFl8Nt4eMLi5F9c08cDTGXO9AV4ZJ2m653PqHVlChldNYhsMJ7lxJIgTpiMph8rSZ1/atO4lX/eIiIh1xpiwgtYVObDBGJMjImki4meMSXZGYUTkbqwBD/2MHUEaYzKADPv9OhGJA1phtbw1dNi9IXDIfp8gIvXsVrh6wNEi6vEB9uTEYWFhJjw83BlVKVRUVBQlfYyyrDLXX+se7upiuExZqP+ZzBw+itnN+7/HkZGdy91XB/OPfi2pWd0JI04BsjNh9fuw4lXITocej1Cl9+Mkr1zn8rq7Uln47F1F6x7u0jIUZ3RqOrBJRBYCp88mGmMevtiDiUh/rH5rfYwxaQ7ptYETdtDYDGsAw25jzAkRSRGR7sBq4C7gX/Zuc7AGWEyx/519seVRSqmKwBjDLxsP88rcrRxKTieybRATBlxJ08DqzjvIzoUwfwIk7oJW/SHyZajV3Hn5K6UuWnGCuF/t10URka+xBh4Eikg88BzWaNQqwEK7T8bZqUR6A5NFJBvIAR4wxpywsxrL/6YYmWe/wArevhGRe4H9wLCLLaNSSpV3mw8mM/nnWNbsPUGbejV4c3gI3ZrVct4BEuPgt6dhx3yo1QJu/w5aXuu8/JVSl+yCQZwx5jMRqQo0NsZsv9D2DvvdVkDyx4Vs+z3wfSHr1gLtCkhPBHTsulKqUkpMzWDagh3M/GM/Nat58fKQ9gzv0gh3J/V7IyMVYqbByvfAvQpc+wJ0ewA8nHRrVil12S4YxInIIGAa4IU1gjQEmGyMGVzShVNKKXWurJxcvli5j7cW7eB0Zg6jrg7mkX6t8Kt2wTnYi8cY2PiN9azTlMMQcrs1ZYhvkHPyV0o5TXFup/4T6Io1DxvGmA0i0rQEy6SUUqoA0TuOMfmXWHYdTaVXy0CeHdiGlkG+zjvAoT9h3nhrst76nWH4l9CwwEFxSqkyoDhBXLYxJjnfvEKFz0uilFLKqfYlnuaFX7ayaGsCjQOq8cGdoVzbJsh5872lHoMlk2H9F1C9Ntz4b+h4G7hVzilDlCovivXsVBEZCbiLSEvgYayJgJVSSpWg9KwcpkfFMX1ZHB5uwpP9W3Nvz6ZU8XB3zgFysmDNhxA1BbJOw9XjoPeT4F3DOfkrpUpUcYK4vwMTseZx+xr4DXihJAullFKV3dJtR3luzhb2n0hjUMf6TLz+Suc9pB4gbgnMmwDHt0OLa6xnndZu5bz8lVIlrjijU9OwgriJJV8cpZSq3OJPpjH551gWxCbQrHZ1vvpbN3q0CHTeAU7ssR5Uv+0XqNkUbpsFrSLBWbdmlVKlptAgTkR+poi+bzo6VSmlnCczO5ePlu/mncU7AXgisjX39WqGl4eT+qVlnoaYN2DFv8DNwxpxetVD4FHFOfkrpUpdUS1x0+x/BfgQ+FvJF0cppSqfFbuO88zszcQdO811bYJ4dlAbGtas5pzMjYHN38PCZ+HUQegwHK55HmrUc07+SimXKTSIM8YsO/teRFIdl5VSSl2+o6fSefHXrcz56xCNA6rxyagw+l7hxPnYDm+0pgzZvwLqdYShn0Ljbs7LXynlUsUZ2AA6pYhSSjlNTq7hi5V7mbZgB5k5ufyjX0vGhjfH29NJo05PJ8LSF2HdDKhaEwa9A53uADcn5a+UKhOK6hMX4LDoLiI1sW6tAuDwbFOllFLFFHvoFE/9uIm/DiTRq2UgL9zYjmBnPag+JxvWfmIFcBmp1mOy+oyHqv7OyV8pVaYU1RK3DqsF7mzgtt5hnQGalVShlFKqojmTmcPbi3fyYcxu/Kt68vaIEAZ3rO+8CXt3L4P5E+BoLDQLh/5Toc4VzslbKVUmFdUnTh+tpZRSThC94xgTf9rEgRNnuDWsIU9ffyX+1Zz0IPmk/daUIbGzwb8xDP8KrrhBpwxRqhIobp84pZRSFykxNYMXf93Kj38epFlgdb6+rztXNa/lnMwz0+D3t+H3t0DcIGKS9cQFz6rOyV8pVeZpEKeUUk5mjOG7dfG8NHcrpzOyebhvCx6MaOGcgQvGQOxPsOAZSD4A7W6BayeDX8PLz1spVa5oEKeUUk605/hpnv5hEyt3JxLWpCav3NyelkG+zsk8YYs1ZcjeGAhqz/+3d9/xUZXZH8c/J6GX0Ik0ARFBQKVExB4sNAuiYl1R0XXXtaxdLD+x99W1YO9lAQsqKkiT2JEm0gSJ9CIISAkl9fz+mMvuiEkYYJLJZL7v12teufPMLefcm3Jy732eS7/nocWR0Vm3iMSdiIo4M0sGUsPnd/elJRWUiEi8yS9wns34hcfH/0zlCknc168D5x66L0lJUbg3bet6mHg/TH0ZqtSGkx6DLhdpyBCRBLfLIs7MrgIGA6uBgqDZgYNLMC4Rkbgx79dN3DNpO4s3zaNn+1Tu6duBhilReFh9QT5MexU+vxe2b4RDL4X0W6Ba3V0vKyLlXiRn4v4JtHH3dSUdjIhIPMnJK+CZjEyGTMykSrIz5LzO9Dlon+gMG7L4m9Cl09WzoMXR0PshSG2/9+sVkXIjkiJuGbCxpAMREYkns5Zv5Mb3fmTer5vp27ExJ9TdwEkHR+F5pBuXhzotzBkBtZpB/9ehXV8NGSIifxJJEbcQyDCzT4HsHY3u/liJRSUiUkZtzw0N2vvClwupV70SLw5I48R2qWRkZOzdinO3wbdPwVePAR66bHrE1VCpWjTCFpFyKJIibmnwqhS8REQS0rQl67nxvZks/G0LZ6c149aTDqRW1Yp7t1J3mPcJjLk1NHBvu9Ogxz2hgXtFRIqxyyLO3e8qjUBERMqqrTl5PDJmPq99u5jGtaryxsCuHHNA/TOPsAAAIABJREFUg71f8ZqfQve9LfoCGraDCz+Glsfs/XpFJCEUWcSZ2b/d/Roz+5hQb9Q/cPdTSzQyEZEyYNLCddz03kyWrt/KBd2ac3PvttSovJdDbG7bABkPwuQXoHJN6PModLkYkjV0p4hErrjfGG8GXx8tjUBERMqS7bn5PDJmPq98s4hmdaox7LJudNtvLx+ZVZAPP7wJE+6Gbb+HCrfut0H1KD2KS0QSSpFFnLtPC75+UXrhiIjE3oxlG7junRks/G0LF3Rrzi192lKt0l6eJVs6CUbdCL/OhH2PCA0Z0kjDbYrIntO5exGRQE5eAU9OWMAzGZmkplThzUu6cnTrvbz3bdNKGDcYZr0DKU3gzFeg/ekaMkRE9pqKOBERYO7KTVz/7o/8tGoTZ3Zpyh2ntCOlyl70PM3dDpOGwJf/goI8OOZGOOpaqFQ9ekGLSEJL2tUMZtZhT1duZq+Y2Rozmx3WVtfMxpnZguBrnaDdzOxJM8s0s5lm1jlsmQuD+ReY2YVh7V3MbFawzJMWlWHSRSSR5OUXMGRiJn2HfM1vm7N5cUAaj/Y/ZM8LOHeYNwqe6Ra6961Vd7hyMhx3uwo4EYmqXRZxwHNmNtnM/mFmtXdz/a8BvXZqGwRMcPfWwITgPUBvoHXwugx4FkJFH6Fntx4GdAUG7yj8gnkuC1tu522JiBTpl9+yOPO573hkzHx6tNuHsdcew4ntUvd8hb/9DG+dAcPOhQqV4YIP4Zy3oU6LqMUsIrJDJOPEHWVmrYGBwFQzmwy86u7jIlj2SzNrsVNzXyA9mH4dyABuDtrfcHcHJplZbTNrFMw7zt3XA5jZOKCXmWUAKe7+XdD+BnAaMHpXcYlIYisocF77djEPfTaPqpWSeercTpxySOM9X+H2jbTKfAW+/BQqVodeD4YeVp+8lwMBi4gUI6J74tx9gZndDkwFngQ6BZcub3X3Ebu5zVR3XxWsd5WZNQzamxB6TusOy4O24tqXF9IuIlKkZeu3csO7P/L9ovUc17YhD55+EA1TquzZygoKYMbbMOEumm5ZC50HwPF3QPX60Q1aRKQQuyzizOxg4GLgJGAccIq7TzezxsB3wO4WcUVuqpA234P2P6/Y7DJCl11JTY3CMw53ISsrq8S3UZYlcv7KPSPWYRTJ3fl2ZR5vzs0BYGCHShzdJIu50ycxdw/Wl7JxPvtnvkjK5gVsTGnLzAP/SX7KQTBl9q4XLmfK+rEvaYmcv3LPiGkMkZyJexp4kdBZt207Gt19ZXB2bnetNrNGwVm4RsCaoH050CxsvqbAyqA9faf2jKC9aSHz/4m7vwC8AJCWlubp6emFzRY1GRkZlPQ2yrJEzl+5p8c6jEJt2JrDbR/O5tNZqzi0RR0eO6sjzeru4YPlN/8K4++EH4dCzUZw+ovUOqg/+V98UWbzL2ll+diXhkTOX7mnxzSGSIq4PsA2d88HMLMkoIq7b3X3N4tftFAjgQuBB4OvH4W1X2lmwwh1YtgYFHpjgPvDOjP0AG5x9/VmttnMugHfAwOAp/YgHhEpx75esJYb3v2RtVnZ3NSrDX87phXJSXvQkT0vGyY9C18+Avk5cNR1cPT1ULlG9IMWEYlAJEXceOAEICt4Xw0YCxyxqwXNbCihs2j1zWw5oV6mDwLvmNklwFKgfzD7KEIFYyawldAlXIJi7R5gSjDf3Ts6OQCXE+oBW5VQhwZ1ahAR4H+PzXr560W0alCdFwccyUFNa+3Zyn4eC58NgvW/QJs+0ONeqNcqugGLiOymSIq4Ku6+o4DD3bPMLKLrEO5+bhEfHV/IvA5cUcR6XgFeKaR9KrDH49iJSPn006pNXDNsBvNXb2bA4c25pfeBVK2UvPsrWpsJY26BBWOhXms4/31ofUL0AxYR2QORFHFbzKyzu0+H0AC7wLZdLCMiUuoKCpxXvlnEw5/NJ6VqRV69+FC6t2m46wV3lr05dNn0u2egQhXocR90vQwqVIp+0CIieyiSIu4a4F0z29FpoBFwdsmFJCKy+1Zt3Mb17/zIt7+so0e7VB44/SDq1ai8eyspKICZw2H8YMhaDZ3+AscPhhp7UAiKiJSwSAb7nWJmbYE2hIb1mOfuuSUemYhIhD7+cSW3fTCLvALnoTMO4qy0Zuz2U/hWTINRN8GKqdAkDc4ZCk27lEzAIiJRENFgv8ChQItg/k5mhru/UWJRiYhEYNP2XAZ/NIcPflhBp31r8/hZHWlRfzefT5q1BibcBT+8BTVS4bTn4OCzISmSpxKKiMROJIP9vgm0AmYA+UGzAyriRCRmpi35nX8O+4FVG7dz7QkHcEX3VlRI3o3CKy8HJr8AXzwEudvgiKvhmBuhSkrJBS0iEkWRnIlLA9oFvUdFRGIqv8B57otfeGzczzSuXYV3/344nfets+sFw2WOh89ugbU/Q+se0PMBqL9/yQQsIlJCIiniZgP7AKtKOBYRkWL9unE71w6fwXcL13HKIY25r18HUqrsxkPm1y+EMbfB/FFQtxWc9w4c0LPkAhYRKUGRFHH1gblmNhnI3tHo7qeWWFQiIjuZ8NNqbnj3R7bnFvDImQdzZpemkXdeyM6Cr/4F3z0NyZXghLug2+VQYTd7r4qIlCGRFHF3lnQQIiJF2Z6bz4Oj5/Hat4tp1yiFp87rRKsGET7qyh1mvQvj7oDNq+CQc+GEO6HmPiUZsohIqYhkiJEvzKw50NrdxwdPa9iDoc9FRHZP5prNXPmfH5j362YGHtmSm3u3oXKFCH/9rJwBo2+GZZOgcSc4601odmjJBiwiUooi6Z36V+AyoC6hXqpNgOco5NFZIiLR4O68M3UZd46cS9VKybxyURrHtU2NbOEta2HC3TD9DaheH059GjqeryFDRKTcieRy6hVAV+B7AHdfYGYavlxESsTGbbnc+sEsPp25iiP3r8fjZ3WkYUqVXS+YnwtTXoKJD0DuFjj8Cjj2Jqiyhw+9FxEp4yIp4rLdPWfHDcRmVoHQOHEiIlE1bcl6rh46g9WbtnNzr7b87Zj9SEqKoPPCLxPhs0Hw2zxodRz0ehAatCn5gEVEYiiSIu4LM7sVqGpmJwL/AD4u2bBEJJHkFzjPZmTy+PgF/x37rVMkY7/9vjg0ZMi8T6BOi9Cjstr0ht195JaISByKpIgbBFwCzAL+BowCXirJoEQkcYSP/XbqIY25N5Kx33K2wNf/hm+egKRkOP4O6HYFVIzgsquISDkRSe/UAuDF4CUiEjXj567mxvd+JDsvwrHf3GHOCBj7f7BpBRzUPzTmW60mpRe0iEgZEUnv1EUUcg+cu+9XIhGJSLkXPvZb+8YpPHluBGO//TorNGTIkm9gn4PhjJeh+eGlE7CISBkU6bNTd6gC9Cc03IiIyG4LH/vtkqNaclOvXYz9tnU9fH4vTHsVqtaBU56ATheELqOKiCSwSC6nrtup6d9m9jVwR8mEJCLlkbszfMoy7vx4DtUrVeDViw6le9tiRivKzwsVbp/fC9mboetlkD4oVMiJiEhEl1M7h71NInRmrmaJRSQi5c7GbbncOmIWn86KcOy3RV+FLp2umQMtj4XeD0HDA0svYBGROBDJ5dR/hU3nAYuBs0okGhEpd3Zr7LcNS0OdFuZ+CLX3DT0q68BTNGSIiEghIrmc2r00AhGR8mW3xn7L3RYaLuTrxwGD7rfBEVdBxaqlGrOISDyJ5HLqdcV97u6PRS8cESkPft24nWuG/8Ckhes59ZDG3NevAzULG/vNHeZ+FDr7tnEptD8dTrwbajcr/aBFROJMpL1TDwVGBu9PAb4ElpVUUCISv8YFY7/l5BXwaP9DOKNzk8LHfls9J3Tf2+KvILUD9PsUWhxV+gGLiMSpSIq4+kBnd98MYGZ3Au+6+6UlGZiIxJecfGfwR7N5/bsltG+cwlPndmK/wsZ+27oeMh6AKS9DlRQ46V/Q+SJIjuTXkYiI7BDJb819gZyw9zlAixKJRkTi0oLVm7ln0naWbV7CpUe15MbCxn4ryIdpr4WGDNm+AdIuge63QjUNOykisiciKeLeBCab2QeEntzQD3ijRKMSkbjg7gybsoy7Pp5DRSsoeuy3Jd/C6JtCT11ocTT0ehD26VD6AYuIlCOR9E69z8xGA0cHTRe7+w8lG5aIlHUbt+ZyywczGTXrV47avz5nNt3y5wJu43IYdwfMfh9SmkL/16DdaRoyREQkCpIinK8asMndnwCWm1nLPd2gmbUxsxlhr01mdo2Z3WlmK8La+4Qtc4uZZZrZfDPrGdbeK2jLNLNBexqTiOyeaUvW0+fJrxg7ZzWDerfljYFdqV0l7NdJ7nb48hF4+lCY9ykcOwiunALt+6mAExGJkkiGGBlMqIdqG+BVoCLwFnDknmzQ3ecDHYN1JwMrgA+Ai4HH3f3RnbbfDjgHaA80Bsab2QHBx0OAE4HlwBQzG+nuc/ckLhHZtfwC55mJmfx7wgKa1K7Ke5cfQcdmtf83g3uoaBtzK2xYAgeeCj3uhTrNYxe0iEg5Fck9cf2ATsB0AHdfaWbReuzW8cAv7r6k0CEIQvoCw9w9G1hkZplA1+CzTHdfCGBmw4J5VcSJlIBVG7dx7fAZRY79Vm3LUnjzNFiYAQ0OhAEjYb9jYxewiEg5F0kRl+PubmYOYGbVo7j9c4ChYe+vNLMBwFTgenf/HWgCTAqbZ3nQBn8cq245cFgUYxORwJg5v3Lz+zMLH/tt2wb44iEOnfIcVKkJvR+BtIEaMkREpISZuxc/g9kNQGtCly0fAAYC/3H3p/Zqw2aVgJVAe3dfbWapwFpCPWDvARq5+0AzGwJ85+5vBcu9DIwidD9fzx3j1ZnZBUBXd7+qkG1dBlwGkJqa2mXYsGF7E/ouZWVlUaNGIeNjJYhEzr+85Z6T7wybl8Pny/JonpLE5YdUZp/qwb1vnk+jVRNouegtKuZuYmmD7ixvfTG5lVJiG3SMlLdjvzsSOXdI7PyVe8nn3r1792nunlbYZ5H0Tn3UzE4ENhG6L+4Odx8Xhbh6A9PdfXWwndU7PjCzF4FPgrfLgfBn8DQlVPxRTPvOObwAvACQlpbm6enpUQi/aBkZGZT0NsqyRM6/POU+/9fNXDV0Oj+vzuOvR7fkxp5tqVQhKOCWfh8aMmTVDNj3cOj9EIvm/15uct8T5enY765Ezh0SO3/lnh7TGIot4oKOB2Pc/QQgGoVbuHMJu5RqZo3cfVXwth8wO5geCfzHzB4j1LGhNTAZMKB10FN2BaFLs+dFOUaRhOPuvDVpCfd++hM1q1Tk9YFdOfaABqEPN62C8YNh5nCo2RjOeBk6nBHqcTo/I6Zxi4gkmmKLOHfPN7OtZlbL3TdGa6NmVo3Q5dm/hTU/bGYdCV1OXbzjM3efY2bvEOqwkAdc4e75wXquBMYAycAr7j4nWjGKJKLft+Rw0/szGTd3Ncce0IBH+x9Cg5qVIS8bJj0DXzwCBXlw9A1w9HVQKZq3yIqIyO6I5M7j7cAsMxsHbNnR6O5X7+lG3X0rUG+ntguKmf8+4L5C2kcRuj9ORPbSd7+s49rhM1i3JZvbTzqQgUe2JMmA+Z/BmFtg/UJoe3JoyJC6ezxUpIiIREkkRdynwUtEyqHc/AKeGL+AIRmZtKxXnZcuPJIOTWrB2gXw2S2QOQ7qt4ELPoBWx8U6XBERCRRZxJnZvu6+1N1fL82ARKT0LFu/lauH/cAPSzfQv0tT7jy1PdV9K4y9HSY9CxWrQc8HoOtfIbnirlcoIiKlprgzcR8CnQHM7H13P6N0QhKR0jDyx5XcNmIWAE+d24lTDtoHfhwK4++ELb9B5wvguDugRoPYBioiIoUqrogLf4TCfiUdiIiUji3ZeQweOYf3pi2n8761eeKcTjTb+hO8/BdYMQ2adoXz34HGnWIdqoiIFKO4Is6LmBaRODV7xUauGvoDi9dt4arj9uefh6VQYeINMONtqLEP9HsBDj5LD6kXEYkDxRVxh5jZJkJn5KoG0wTv3d0Tc1h2kThUUOC8/PUiHh4zj3rVKzP04s50++1dGPIw5GfDUdfC0ddD5Wg9FllEREpakUWcuyeXZiAiUjJWbtjG9e/8yHcL19GjXSr/6rSGmmNOhnWZcEAv6Hk/1GsV6zBFRGQ36QnVIuXYJzNXcuuIWeQVOEN61aLPyoex98dAvf3h/Peg9YmxDlFERPaQijiRcmjz9lwGj5zDiOkr6NakEs81n0jtr16E5MqhwXq7/g0qVIp1mCIishdUxImUM1MXr+ea4TNYuWErzx6USa9Vz2LTf4WO58Pxg6FmaqxDFBGRKFARJ1JO5OYX8OSEBQyZmMlxKSv4rOlQaiyYDk26wDlvQ9O0WIcoIiJRpCJOpBxYtHYL1wz7geXLlzJ0n0/oumEUtrUB9H0GDjkXkpJiHaKIiESZijiROObuDJuyjPs/nskFyeO4tub7VNy0HY64Eo65CapoJCARkfJKRZxInFqXlc2gEbPYNm88n1V7myZ5S6H5CdDrQajfOtbhiYhICVMRJxKHPp+3miffG8cVOa9xYqUpeMp+0HM4HNBTT1sQEUkQKuJE4sjm7bk8NHI6qTOf4Z0Kn1KhUkVIvxPr9g+oUDnW4YmISClSEScSJ77LXMtnw4dwRc5rNKqwnvyDzibpxLsgpVGsQxMRkRhQESdSxm3PzeeNESPpOOcB7kqaz5b6B8Fpw0lu1jXWoYmISAypiBMpw2YvWMiidwZxac5YtlaqRXaPJ6ieNkBDhoiIiIo4kbIoJyeHr4c+SJeFz9HWtrPqwItp0ncwVK0d69BERKSMUBEnUsYsm/YZ+aNu4rj8JcyvkUbjc56gSbMOsQ5LRETKGBVxImVE/vrFLB56Ha1+m8ByGjL9iCF0PvF8DRkiIiKFUhEnEms5W1k/9iGqT32GRm58WG8gRw24k861a8U6MhERKcNUxInEijv5sz9g6yeDqJu9mtEcifW8h76Hd8Z09k1ERHZBRZxILPw6m60fXU+1VZNYWtCcz5r9mwHnnEeDmhqwV0REIqMiTqQ0bV1P/uf3YlNfZbtX4/Gky+h05j+5/uCmsY5MRETijIo4kdJQkA/TXiVv/D1Y9iZezzuReW2v5OZ+3ahbvVKsoxMRkTikIk6kpC3+moJRN5G0Zg5TCtrxRKU7GNj/JC5uv0+sIxMRkTgWsyLOzBYDm4F8IM/d08ysLjAcaAEsBs5y998tdJf3E0AfYCtwkbtPD9ZzIXB7sNp73f310sxDpEgbl8PY/4M5I/jNGjA45xqqH9KP509pT61qFWMdnYiIxLlYn4nr7u5rw94PAia4+4NmNih4fzPQG2gdvA4DngUOC4q+wUAa4MA0Mxvp7r+XZhIif5C7Db59Cv/qMfLy8xmSdwYfVjuTweek0b1Nw1hHJyIi5USsi7id9QXSg+nXgQxCRVxf4A13d2CSmdU2s0bBvOPcfT2AmY0DegFDSzdsEcCd+r99B0Ougg1L+TzpCO7Ydjbdu3VhZK+2pFTR2TcREYmeWBZxDow1Mweed/cXgFR3XwXg7qvMbMdpiybAsrBllwdtRbWLlK41P8Hom+mw6AtWVNqP63NuZ139rjwx4CDSWtSNdXQiIlIOxbKIO9LdVwaF2jgzm1fMvIWNfOrFtP9xYbPLgMsAUlNTycjI2INwI5eVlVXi2yjLEin/CrlZtFg8lMYrRpGdVI1H8y/krc0ncNL+Vbi0ZQFZi2eSsTjWUZaORDruhUnk/BM5d0js/JV7RkxjiFkR5+4rg69rzOwDoCuw2swaBWfhGgFrgtmXA83CFm8KrAza03dqzyhkWy8ALwCkpaV5enr6zrNEVUZGBiW9jbIsIfIvyIfpb8Dn9+DbfmdstT7cvP4UUuvUYtTAo2nVoEasIyx1CXHci5HI+Sdy7pDY+Sv39JjGkBSLjZpZdTOruWMa6AHMBkYCFwazXQh8FEyPBAZYSDdgY3DZdQzQw8zqmFmdYD1jSjEVSURLJ8EL6fDJNayo0Jy+OQ9w49YB3HLGEdzctUpCFnAiIlL6YnUmLhX4IHg+ZAXgP+7+mZlNAd4xs0uApUD/YP5RhIYXySQ0xMjFAO6+3szuAaYE8929o5ODSNRtWgnj7oBZ75JTrREPV72Rl9Z05OSDG/PSKe1oWLMKGRkLYx2liIgkiJgUce6+EDikkPZ1wPGFtDtwRRHregV4JdoxivxX7nb47mn46jG8II/xDS7k6mXHUrd2HV65qD3HtU2NdYQiIpKAytoQIyJlhzvMHw1jboHfF7M09QT+vvo0fl5Rj0uP3Y+rj9+fapX0IyQiIrGhv0AihfltPnw2CH75nO21W3N/rft4Y0lLuu1Xl9F9O9A6tWasIxQRkQSnIk4k3PaNkPEQTH4er1iN0U2u4ZqFnUmpXp1/n30gfTs2JriXU0REJKZUxIkAFBTAjLdhwl34lrUsbn4mf13em4ULq3BBt+Zc16MNtarqiQsiIlJ2qIgTWTYZRt8EK39g2z5p3FX1DobNr8chzWrz0cUdOKhprVhHKCIi8icq4iRxbf4Vxt8JPw6loMY+jNzvLm6Y15rqlStyX782nHvoviQl6dKpiIiUTSriJPHkZcOkZ+HLR/D8HObv/1f+uuhYls1Non+Xptzcuy31a1SOdZQiIiLFUhEnieXnMaFep+sXsnHfE7k56xw+m12Vjs1q8/RF7TmkWe1YRygiIhIRFXGSGNZmhsZ7WzCWvDr781rzR7l3fmPq16jMv/q3pV+nJrp0KiIicUVFnJRv2zfBl4/ApGfxilX4vvV1XP5zGllrjL8d05Irj9ufmlXU61REROKPijgpnwoKYOawUMeFrNX82upMrlx9ClNnVeTYAxpwxynt9KB6ERGJayripPxZMQ1G3QQrppK9TxceTbmDF+fUoXm9arx8YTuOa9tQA/aKiEjcUxEn5UfWGhh/F8x4i4LqDRndajDXzW9DclIyN/Xan0uOaknlCsmxjlJERCQqVMRJ/MvLgcnPwxcP47nbmNPyYi5fchzL5iTTr1MTBvVuS2pKlVhHKSIiElUq4iS+LRgfGjJk3QLWNkrn+k1n8cVPtTmsZV2eOamdnrYgIiLlloo4iU/rfoExt8HPo8lOackTde/mmUX7s1+D6rw44EBOOFD3vYmISPmmIk7iS3YWfPUofDeEgqSKfNrw71y/7AhqVKvG3X1bc27XfamYnBTrKEVEREqcijiJD+4w610YdwdsXsXsBifx91Uns2ZbHQYe05J/dG9FisZ7ExGRBKIiTsq+lT/A6Jth2fesq9We65OvImNZC07r2JgberahaZ1qsY5QRESk1KmIk7Jry1qYcDc+/Q1yK9fliSpX88zqrhzaoj4fXXSgnnMqIiIJTUWclD35uTDlJZj4AJ6zhdE1+nHz2j7Ur9+A5y5oS492qeq0ICIiCU9FnJQtv0wMDRny2zzm1ejKFZv7s95acP0prTm/W3N1WhAREQmoiJOy4ffFoSFD5n3ChspNuCX/Rib83pmLj2rJP7rvT62q6rQgIiISTkWcxFbOFvj6cfybJ8kjieeTzuepjSfS45AWTOjZhmZ11WlBRESkMCriJDbcYfb7+Lg7sE0r+Lzisdy6uT/7tmjFsD4H0mnfOrGOUEREpExTESelb9XM0JAhS79lccX9uSF7MOuqd+Kuv7SlZ/t91GlBREQkAiripPRsWQcT78WnvcaWpJrcl3spY+wErjq5Lecf1pxKFdRpQUREJFIq4qTk5efB1Ffwiffh2zfzVkFPnsw5g9OP7MDE9P2pVU2dFkRERHZXqZ/6MLNmZjbRzH4yszlm9s+g/U4zW2FmM4JXn7BlbjGzTDObb2Y9w9p7BW2ZZjaotHORCCz6En/+aBh9I1Oym9Ez+wEmt72JEdedxK19DlQBJyIisodicSYuD7je3aebWU1gmpmNCz573N0fDZ/ZzNoB5wDtgcbAeDM7IPh4CHAisByYYmYj3X1uqWQhxduwFMbeDnM/YrU1ZHDOtaxteiIPndyOzuq0ICIistdKvYhz91XAqmB6s5n9BDQpZpG+wDB3zwYWmVkm0DX4LNPdFwKY2bBgXhVxsZS7jeaLh1Hw1QhyC+Cp3P58lnIm151+CL07qNOCiIhItMT0njgzawF0Ar4HjgSuNLMBwFRCZ+t+J1TgTQpbbDn/K/qW7dR+WAmHLEVxh7kfkT/mdlpuWsbH+YfzVPIAzurVjU8Pb07lCsmxjlBERKRcMXePzYbNagBfAPe5+wgzSwXWAg7cAzRy94FmNgT4zt3fCpZ7GRhF6H6+nu5+adB+AdDV3a8qZFuXAZcBpKamdhk2bFiJ5paVlUWNGjVKdBtlSfWsxey34CXqbZzFT96cu3IvoFazgzmlVSVqVEqsM2+JduzDJXLukNj5J3LukNj5K/eSz7179+7T3D2tsM9icibOzCoC7wNvu/sIAHdfHfb5i8AnwdvlQLOwxZsCK4Ppotr/wN1fAF4ASEtL8/T09L1PohgZGRmU9DbKhK3rKZh4P0x7hc1eldtyB7LxwPM4ve5mzupzXKyji4mEOfaFSOTcIbHzT+TcIbHzV+7pMY2h1Is4C90U9TLwk7s/FtbeKLhfDqAfMDuYHgn8x8weI9SxoTUwGTCgtZm1BFYQ6vxwXulkkeAK8mHaa+SOv4ek7I28lXc84/e5lGtO6UqX5nXJyMiIdYQiIiLlXizOxB0JXADMMrMZQdutwLlm1pHQ5dTFwN8A3H2Omb1DqMNCHnCFu+cDmNmVwBggGXjF3eeUZiIJacm3bB95A1XWzWFqfjuer34H/fv05o2D1GlBRESkNMWid+rXhM6i7WxUMcvcB9xXSPuo4paTKNq4nO2jbqPK/A9Z5/V5zK7jwBP/wvNHtFCnBRERkRjQExukeLnbyf36SfjqX5Cfz5MFZ5CVdiW3n9CBOtUrxTo6ERGRhKUiTgrnTsFPn7D1k0HU2LqcT/O78k0EIp5WAAAPoElEQVTLa7js1HRa1K8e6+hEREQSnoo4+bM189gw4jpq//oNywua8VadB+jb7xzub1E31pGJiIhIQEWc/M+2DWwYfQ81Z74CXpXHKv6V/ftcxd0d9yUpSZ0WREREyhIVcQIF+WRNeg0+v5uU3I28ywlsPXIQ/+jeiSoV1WlBRESkLFIRl+CyF33LxhHX0XDzT0wuaMuUto9zzqknUa9G5ViHJiIiIsVQEZegfNNKlr97E82WfUy+1+X5BrdxfP+/c0VqSqxDExERkQioiEs0edksH/Uo9aY/SUPP5z9Vz6blabfzt7b7xjoyERER2Q0q4hKFO2umfQhjbqVp7kom2mFs634nZx99OMnqtCAiIhJ3VMQlgM3L5rL63WvZf9MkMr0J33R4mp59z6VaJR1+ERGReKW/4uVYzpYNzB/+f7Rd+jYNvTIjG11Nt7Nvol+dmrEOTURERPaSirhyyAvymT3qOZpMe5j2BRv5okYvmpxxP6fut1+sQxMREZEoURFXziyb9SU5H9/AQTnzmZPcll96vEp6t+6Y6b43ERGR8kRFXDmxZd0Kfhl6AwevHcUa6vBlh/s44rTLqVBBg/WKiIiURyri4pznZTP3w0doMftp2ngunzc4n4PPvYdj6tWLdWgiIiJSglTExbHlkz8iacyttM9fzvcVu1L91Ic57qBOsQ5LRERESoGKuDiUtXIeK4dfywEbv2URjZnQ5RnSTzpP472JiIgkEBVxccS3b2LBe3fSMvN1GnlFPm18BYefeyvHp9SIdWgiIiJSylTExYOCAlZ8+TpVv7ybAwrWM77yiTQ6/X5OanNArCMTERGRGFERV8ZlLZzM7+9fS7Mts5lJa6Ye8TQnnNCHJF06FRERSWgq4sqogs1rWPzOzbRY9gHbPIX3m9/G8WdfzcHVq8Q6NBERESkDVMSVNfm5rBr3JCnfP0rTgmw+qn46bfrfzRktm8Y6MhERESlDVMSVIVlzxrB15E00yl7MN9aJTd3voe8xR+nSqYiIiPyJirgyIG/tQla9cx3N1kxkbUEqb7d+hJPPvJhaVSvGOjQREREpo1TExZBnb2bJR/fSeO7L1PFk3k65hC5n38L5TRvEOjQREREp41TExYI7y796g2pf3E2L/LWMrZBO5V53c16Xg/WgehEREYmIirhSti5zCptGXEfLrTOZw358e+i/6NHzVCpVSIp1aCIiIhJHVMSVkm2/ryZz+M20X/UhUJNPWt7K0f2voX31yrEOTUREROKQirgS5vm5zPrwMVrMeoK2vp3Pa5/BAWffw8mNG8c6NBEREYljcV/EmVkv4AkgGXjJ3R+McUj/tWDSJ1QedysH5y9hesVOJPd+iBM6HxbrsERERKQciOsizsySgSHAicByYIqZjXT3ubGMa9uGX/nx0VM4JOtLlpPKN2lPcnjvC0hK1n1vIiIiEh1xXcQBXYFMd18IYGbDgL5AzIq47/9zD93nP0EBSXy17+V0Oud2mlavEatwREREpJwyd491DHvMzM4Eern7pcH7C4DD3P3Knea7DLgMIDU1tcuwYcNKLKaNc8dRZ/10NnW4mBq1G5bYdsqyrKwsatRIzMJVuSdm7pDY+Sdy7pDY+Sv3ks+9e/fu09w9rbDP4v1MXGGDqv2pKnX3F4AXANLS0jw9Pb3kIkpPJyMjg5NLchtlXEZGBiW6j8sw5Z4e6zBiJpHzT+TcIbHzV+7pMY0h3m/SWg40C3vfFFgZo1hERERESk28F3FTgNZm1tLMKgHnACNjHJOIiIhIiYvry6nunmdmVwJjCA0x8oq7z4lxWCIiIiIlLq6LOAB3HwWMinUcIiIiIqUp3i+nioiIiCQkFXEiIiIicUhFnIiIiEgcUhEnIiIiEodUxImIiIjEIRVxIiIiInFIRZyIiIhIHFIRJyIiIhKHVMSJiIiIxCFz91jHUKrM7DdgSQlvpj6wtoS3UZYlcv7KPXElcv6JnDskdv7KveQ1d/cGhX2QcEVcaTCzqe6eFus4YiWR81fuiZk7JHb+iZw7JHb+yj22uetyqoiIiEgcUhEnIiIiEodUxJWMF2IdQIwlcv7KPXElcv6JnDskdv7KPYZ0T5yIiIhIHNKZOBEREZE4pCIuysysl5nNN7NMMxsU63iiwcyamdlEM/vJzOaY2T+D9jvNbIWZzQhefcKWuSXYB/PNrGdYe9ztHzNbbGazghynBm11zWycmS0IvtYJ2s3Mngzym2lmncPWc2Ew/wIzuzBW+ewOM2sTdnxnmNkmM7umvB57M3vFzNaY2eywtqgdazPrEnwvZQbLWulmWLwi8n/EzOYFOX5gZrWD9hZmti3se+C5sGUKzbOofVkWFJF71L7PzaylmX0f5D7czCqVXnbFKyL34WF5LzazGUF7uTruUOzfuLL/s+/uekXpBSQDvwD7AZWAH4F2sY4rCnk1AjoH0zWBn4F2wJ3ADYXM3y7IvTLQMtgnyfG6f4DFQP2d2h4GBgXTg4CHguk+wGjAgG7A90F7XWBh8LVOMF0n1rnt5n5IBn4FmpfXYw8cA3QGZpfEsQYmA4cHy4wGesc65wjy7wFUCKYfCsu/Rfh8O62n0DyL2pdl4VVE7lH7PgfeAc4Jpp8DLo91zsXlvtPn/wLuKI/HPYipqL9xZf5nX2fioqsrkOnuC909BxgG9I1xTHvN3Ve5+/RgejPwE9CkmEX6AsPcPdvdFwGZhPZNedo/fYHXg+nXgdPC2t/wkElAbTNrBPQExrn7enf/HRgH9CrtoPfS8cAv7l7cYNlxfezd/Utg/U7NUTnWwWcp7v6dh36rvxG2rjKhsPzdfay75wVvJwFNi1vHLvIsal/GXBHHvii79X0enHU5DngvWD5ucg9iPwsYWtw64vW4Q7F/48r8z76KuOhqAiwLe7+c4ouduGNmLYBOwPdB05XB6eRXwk6RF7Uf4nX/ODDWzKaZ2WVBW6q7r4LQLwCgYdBe3nIPdw5//EWeCMceonesmwTTO7fHk4GEziLs0NLMfjCzL8zs6KCtuDyL2pdlWTS+z+sBG8KK4Xg69kcDq919QVhbuT3uO/2NK/M/+yrioquwa9zlpvuvmdUA3geucfdNwLNAK6AjsIrQKXcoej/E6/450t07A72BK8zsmGLmLW+5AxDcv3Mq8G7QlCjHvji7m2tc7wMzuw3IA94OmlYB+7p7J+A64D9mlkKc57mTaH2fx/M+OZc//vNWbo97IX/jipy1kLaYHH8VcdG1HGgW9r4psDJGsUSVmVUk9M39truPAHD31e6e7+4FwIuELiVA0fshLvePu68Mvq4BPiCU5+rgFPmOywhrgtnLVe5hegPT3X01JM6xD0TrWC/nj5ci42YfBDdonwycH1wOIriUuC6YnkboXrADKD7PovZlmRTF7/O1hC65VdipvUwL4j0dGL6jrbwe98L+xhEHP/sq4qJrCtA66IVUidDlp5ExjmmvBfdEvAz85O6PhbU3CputH7CjZ9NI4Bwzq2xmLYHWhG7qjLv9Y2bVzazmjmlCN3nPJhT3jp5HFwIfBdMjgQFB76VuwMbgNPwYoIeZ1QkuyfQI2uLFH/4bT4RjHyYqxzr4bLOZdQt+pgaEravMMrNewM3Aqe6+Nay9gZklB9P7ETrWC3eRZ1H7skyK1vd5UPhOBM4Mli/zuQdOAOa5+38vBZbH417U3zji4Wd/b3tG6PWnXi59CPVs+QW4LdbxRCmnowid+p0JzAhefYA3gVlB+0igUdgytwX7YD5hvXDibf8Q6mX2Y/CasyNmQve4TAAWBF/rBu0GDAnymwWkha1rIKEboDOBi2Od227sg2rAOqBWWFu5PPaECtVVQC6h/54vieaxBtIIFQK/AE8TDLheVl5F5J9J6D6fHT/7zwXznhH8TPwITAdO2VWeRe3LsvAqIveofZ8Hv0smB/vzXaByrHMuLveg/TXg7zvNW66OexBfUX/jyvzPvp7YICIiIhKHdDlVREREJA6piBMRERGJQyriREREROKQijgRERGROKQiTkRERCQOqYgTkTLDzPLNbEbYq0WsY4oWM0szsyd3c5nFZlY/7H26mX2ym+toYWbn7c4yIhIfKux6FhGRUrPN3TsW9aGZVfD/PX8yrrj7VGBqaW4zGHG/BXAe8J/S3LaIlDydiRORMs3MLjKzd83sY2Bs0HajmU0JHkx+V9i8t5nZfDMbb2ZDzeyGoD3DzNKC6fpmtjiYTjazR8LW9begPT1Y5j0zm2dmbwcjrWNmh5rZt2b2o5lNNrOaZvaVmXUMi+MbMzt4pzz+exbNzO600APVM8xsoZldvQf7pXqwjikWehh53yL214PA0cGZzWvN7KWwM52/mdng3d22iJQNOhMnImVJVTObEUwvcvd+wfThwMHuvt7MehB61E9XQiOnjzSzY4AthB5z1InQ77bpwLRdbO8SQo/MOdTMKgPfmNnY4LNOQHtCzzj8BjjSzCYTeo7k2e4+xUIP/t4GvARcBFxjZgcQGo1/5i623RboDtQE5pvZs+6eW8h8E80sP5iuAcwLpm8DPnf3gWZWG5hsZuML2V/pwA3ufnL4Ss2sOaHHBL22izhFpIxSESciZUlRl1PHufv6YLpH8PoheF+DUFFXE/jAg+d7mlkkz2btARxsZjueaVkrWFcOMNmDZ0YGhWULYCOwyt2nALj7puDzd4H/M7MbCT1257UItv2pu2cD2Wa2Bkgl9MijnXV397XBdtKBG8JiP3XH2UagCrBvMB2+v/7EzKoQevTTle6+JIJYRaQMUhEnIvFgS9i0AQ+4+/PhM5jZNYSef1iYPP53+0iVndZ1lbuP2Wld6UB2WFM+od+XVtg23H2rmY0D+gJnEXpO4q4Utv7dYcAZ7j7/D41mh/HH/VWY54AR7j5+F/OJSBmme+JEJN6MAQaaWQ0AM2tiZg2BL4F+ZlbVzGoCp4QtsxjoEkyfudO6LjezisG6DjCz6sVsex7Q2MwODeavGXQegNAl1SeBKcWdBYuiMcBVYffqdSpivs2EzlISzHcFUNPdHyz5EEWkJOlMnIjEFXcfa2YHAt8F9UsW8Bd3n25mw4EZwBLgq7DFHgXeMbMLgM/D2l8idJl0elAM/QacVsy2c8zsbOApM6tK6H64E4Asd59mZpuAV6OU6q7cA/wbmBnEvhg4uZD5ZgJ5ZvYjocu8VwO5YfcePufuz5V8uCISbeZe1NUHEZH4ZWZ3EiquHi2l7TUGMoC27l5QGtsUkcSmy6kiInvJzAYA3wO3qYATkdKiM3EiIiIicUhn4kRERETikIo4ERERkTikIk5EREQkDqmIExEREYlDKuJERERE4pCKOBEREZE49P/Ou+168yFJCgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Frequency array between 0 and 20000 Hz in 1000 steps:\n",
    "f=np.linspace(0,20000,1000)\n",
    "#Computation of Zwickers Bark approximation formula:\n",
    "z=13*np.arctan(0.00076*f)+3.5*np.arctan((f/7500.0)**2)\n",
    "#computation of the approximate inverse, frec: reconstructed freq.:\n",
    "frec= (((np.exp(0.219*z)/352.0)+0.1)*z-0.032*np.exp(-0.15*(z-5)**2))*1000\n",
    "#plot reconstructed freq. Over original freq:\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(f,frec)\n",
    "#comparison: identity:\n",
    "plt.plot(f,f)\n",
    "plt.xlabel('Frequency in Hertz')\n",
    "plt.ylabel('Frequency in Hertz')\n",
    "plt.title('Zwicker&Terhard Forward and Inverse Approximation')\n",
    "plt.legend(('Zwicker Forward and Inverse','Identity'))\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Bark Scale Approximations, Traunmueller"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hide_input": false,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    " - Traunmueller-formula, 1990, from: <br> Traunmüller, H. (1990). \"Analytical expressions for the tonotopic sensory scale\". The Journal of the Acoustical Society of America.\n",
    " - In Python notation, **the approximation** is, with f in Herz and z in Bark:\n",
    "     - for **above 200 Hz:** <br> z=26.81*f/(1960.0+f)-0.53\n",
    "     - **below 200 Hz:** <br> z= f/102.9\n",
    " - It has an **exact inverse:**\n",
    "     - **Above 200 Hz:** <br> f=1960.0/(26.81/(z+0.53)-1)\n",
    "     - **Below 200 Hz:** <br> f=z*102.9"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hide_input": false,
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Bark Scale Approximations, Schröder"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hide_input": true,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "- Schroeder, M. R. (1977). Recognition of complex acoustic signals, Signal & Life Sciences Research Report 5, edited by T. H. Bullock (Abakon Verlag, Berlin), p. 324.\n",
    "- See also: \"Perceptual linear predictive (PLP) analysis of speech\" by Hynek Hermansky, J. AcousL Soc. Am. 87 (4). April 1990,\n",
    "- Also used in the PEAQ standard for objective quality estimation (eq. (2) in the paper:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "hide_input": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<iframe src=\"https://www.ee.columbia.edu/~dpwe/papers/Thiede00-PEAQ.pdf\" width=\"900\" height=\"600\"></iframe>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%html\n",
    "<iframe src=\"https://www.ee.columbia.edu/~dpwe/papers/Thiede00-PEAQ.pdf\" width=\"900\" height=\"600\"></iframe>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    " - **It is the simplest Approximation:** <br> z= 6*arcsinh(f/600.0)\n",
    " - It has an **exact inverse**, Bark to Hertz: <br> f=600 * sinh(z/6.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Bark Scale Approximations, Comparisons"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    " - Comparison of our functional approximation with our Bark-Table.\n",
    " - The approximation formulas also give fractional Bark numbers, and the integer Bark numbers correspond to unique frequencies, which are a band limit.\n",
    " - Tables name bands after an integer Bark number, but they differ in if the band above or below is named after that number.\n",
    " - In the lecture table this integer Bark number corresponds to the lower limit of the band, hence it starts with index 0, in other literature (CCRMA Webpage) and Wikipedia to the upper limit, starting with index 1!\n",
    " - We use these pairs out of the table for our comparison:\n",
    "     - 1 bark - 100Hz\n",
    "     - 10 Bark - 1270Hz\n",
    "     - 15 - 2700 Hz\n",
    "     - 20 - 6400 Hz\n",
    "     - 22 - 9500 Hz "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hide_input": false,
    "scrolled": false,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "   - Use ipython for the comparison:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "f=np.arange(0,20000,10)\n",
    "z=26.81*f/(1960.0+f)-0.53 #Traunmueller\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(f,z)\n",
    "z= 6*np.arcsinh(f/600.0) #Schroeder\n",
    "plt.plot(f,z)\n",
    "z=13*np.arctan(0.00076*f)+3.5*np.arctan((f/7500.0)**2) #Zwicker\n",
    "plt.plot(f,z)\n",
    "plt.legend(('Traunmueller','Schroeder','Zwicker'))\n",
    "#plot single comparison points:\n",
    "plt.plot([100,1270,2700,6400,9500,15500],[1,10,15,20,22,24],'ro')\n",
    "plt.xlabel('Frequency (Hz)')\n",
    "plt.ylabel('Bark')\n",
    "plt.title('Approximations of the Bark Scale')\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hide_input": false,
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   "source": [
    " - **Observe:** The Zwicker approximation is the most precise, it hits our test points, but it has no closed form inverse.\n",
    " - The Schroeder approximation is the least accurate, but it is the simplest and it has an exact inverse in closed form, hence it is used most often, and we will also use it.\n",
    " - In Python we use the function:\n",
    "```python\n",
    "def hz2bark(f):\n",
    "    \"\"\" Method to compute Bark from Hz. Based on :\n",
    "    https://github.com/stephencwelch/Perceptual-Coding-In-Python\n",
    "    Args :\n",
    "    f : (ndarray) Array containing frequencies in Hz.\n",
    "    Returns :\n",
    "    Brk : (ndarray) Array containing Bark scaled values.\n",
    "    \"\"\"\n",
    "    Brk = 6. * np.arcsinh(f/600.)\n",
    "    return Brk\n",
    "```\n",
    "\n",
    "- The inverse function in Python is:\n",
    "```python\n",
    "def bark2hz(Brk):\n",
    "    \"\"\" Method to compute Hz from Bark scale. Based on :\n",
    "    https://github.com/stephencwelch/Perceptual-Coding-In-Python\n",
    "    Args :\n",
    "    Brk : (ndarray) Array containing Bark scaled values.\n",
    "    Returns :\n",
    "    Fhz : (ndarray) Array containing frequencies in Hz.\n",
    "    \"\"\"\n",
    "    Fhz = 600. * np.sinh(Brk/6.)\n",
    "    return Fhz\n",
    "```\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Bark Scale Mapping"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "hide_input": true
   },
   "outputs": [
    {
     "data": {
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       "<iframe width=\"560\" height=\"315\" src=\"https://www.youtube.com/embed/anqH-0vPDtg?rel=0\" frameborder=\"0\" allow=\"accelerometer; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen></iframe>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
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   "source": [
    "%%html\n",
    "<iframe width=\"560\" height=\"315\" src=\"https://www.youtube.com/embed/anqH-0vPDtg?rel=0\" frameborder=\"0\" allow=\"accelerometer; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen></iframe>"
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     "slide_type": "-"
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   },
   "source": [
    " - We choose 64 subbands in the Bark scale, hence each about 1/3 Bark wide.\n",
    " - In Python we construct a matrix W for this mapping (again, to avoid slow \"for\" loops), which has 1's at the position of each such 1/3 Bark band:\n",
    " \n",
    " ```python\n",
    "def mapping2barkmat(fs, nfilts,nfft):\n",
    "    #Constructing matrix W which has 1’s for each Bark subband, and 0’s else:\n",
    "    #nfft=2048; nfilts=64;\n",
    "    nfreqs=nfft/2\n",
    "    #the linspace produces an array with the fft band edges:\n",
    "    binbarks = hz2bark(np.linspace(0,(nfft/2),(nfft/2)+1)*fs/nfft)\n",
    "    W = np.zeros((nfilts, nfft))\n",
    "    for i in xrange(nfilts):\n",
    "        W[i,0:(nfft/2)+1] = (np.round(binbarks/step_barks)== i)\n",
    "    return W\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    " - Matrix W as image in Python:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "hide_input": false,
    "slideshow": {
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   },
   "outputs": [
    {
     "data": {
      "image/png": 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18wnaLutdOJIkSXNXz+dqJVkdOBe4vqpenGRT4FhgPvALYL+quq/XcUiSNAr6XYHqd4Wt06pYbZt0Ha9Z9Fbgko79jwKHVtVmwO24Cr4kSVpFdPOsxj2r6vvj2t5QVUd0ce2GwIuAQ4B/SRJgN+Af21OOAQ4GDp9h3JIkaRYMsuo0yGpbp36+B91UvN6fZLexnSTvBvbu8v7/Bfwr8EC7/zjgjnaJCoDrgA26vJckSdJI62aO10uB7yZ5F7AH8My2bUpJXgzcXFXLkuwy1jzBqTVBG0kW0a4dtmDBApYvX86ZS5d0Ea6GhX02euyz0WOfjR777EGHLNp+0CEATNsfs9ln3Twk+5YkLwV+DCwD9ulYWmIqzwNemmQvYE1gHZoK2LodC7NuCNwwyesupnk0EQsXblPz5s1jx5126eJlNSzOXLrEPhsx9tnosc9Gj332oB13GnQEjemGPA9ZtD3/tvjkWXmtqR6SfVeSO5PcCVwB/AWwLzDWNqWqem9VbVhVmwCvBH5SVa8GfsqDz3ncHzhhJX8HSZKkkTDVAqqPaSfDb1RVv5nF13w3cGySDwPnAZ+fxXtLkiTNyHST66db9Ha8tR5x2KTHpltAtZJ8B1jY9atNfJ8lwJJ2+0pgu5W5nyRJ0ijq5luNP0+ybc8jkSRJmuO6+VbjrsDrk1wD3E3zzcSqquf0NDJJkqQ5ppvEa8+eRyFJkrQK6GY5iWsAkjyRZlkISZIkrYBp53gleWmSy4GrgFOBq4HvT3mRJEmSHqabyfUfAnYALquqTYHdgTN6GpUkSdIc1E3i9b9VdSuwWpLVquqnwJY9jkuSJGnO6WZy/R1J5gGnAV9NcjNw/zTXSJIkaZxuKl57A/cAbwdOBn4NvKSXQUmSJM1F3Xyr8e5284Ek3wNu7fIh2ZIkSeow1UOyd0iyJMm3k2yV5CLgIuCmJHv0L0RJkqS5YaqK12eA9wGPBX4C7FlVP0/yTODrNMOOkiRJ6tJUc7zWqKofVtU3gd9W1c8BqurS/oQmSZI0t0yVeD3QsX3vuGPO8ZIkSZqhqYYan5vkTpqHYq/VbtPu++ggSZKkGZo08aqq1fsZiCRJ0lzXzTpekiRJmgUmXpIkSX1i4iVJktQnJl6SJEl9YuIlSZLUJyZekiRJfWLiJUmS1CcmXpIkSX1i4iVJktQnJl6SJEl9YuIlSZLUJyZekiRJfWLiJUmS1CcmXpIkSX1i4iVJktQnJl6SJEl9YuIlSZLUJyZekiRJfWLiJUmS1Cc9TbySrJvkW0kuTXJJkh2TzE/yoySXtz/X62UMkiRJw6LXFa9PAidX1TOB5wKXAO8BTqmqzYBT2n1JkqQ5r2eJV5J1gJ2BzwNU1X1VdQewN3BMe9oxwMt6FYMkSdIwSVX15sbJlsBi4Jc01a5lwFuB66tq3Y7zbq+qhw03JlkELAJYsGDBwiOPOop58+b1JFb1xvLly+2zEWOfjR77bPTYZ6Nnpn222667LquqbSY6tsasRTXxvbcG3lJVZyX5JDMYVqyqxTSJGwsXblPz5s1jx5126Umg6o0zly6xz0aMfTZ67LPRY5+Nntnss17O8boOuK6qzmr3v0WTiN2UZH2A9ufNPYxBkiRpaPQs8aqq3wLXJnlG27Q7zbDjicD+bdv+wAm9ikGSJGmY9HKoEeAtwFeTPBK4EjiAJtk7LsnrgN8A+/Y4BkmSpKHQ08Srqs4HJppctnsvX1eSJGkYuXK9JElSn5h4SZIk9UnP1vGaTUl+B9wN3DLoWDQjj8c+GzX22eixz0aPfTZ6ZtpnT6mqJ0x0YCQSL4Ak5062GJmGk302euyz0WOfjR77bPTMZp851ChJktQnJl6SJEl9MkqJ1+JBB6AZs89Gj302euyz0WOfjZ5Z67ORmeMlSZI06kap4iVJkjTSTLwkSZL6ZOgTryR7JPlVkiuSvGfQ8WhiSa5OcmGS85Oc27bNT/KjJJe3P9cbdJyruiRHJ7k5yUUdbRP2Uxqfaj97FyTZenCRr5om6a+Dk1zfftbOT7JXx7H3tv31qyQvHEzUq7YkGyX5aZJLklyc5K1tu5+zITVFn/XkszbUiVeS1YHDgD2BZwGvSvKswUalKexaVVt2rHXyHuCUqtoMOKXd12B9EdhjXNtk/bQnsFn7ZxFweJ9i1IO+yMP7C+DQ9rO2ZVWdBND+3fhK4C/baz7b/h2q/rofeEdVbQ7sALyp7Rs/Z8Nrsj6DHnzWhjrxArYDrqiqK6vqPuBYYO8Bx6Tu7Q0c024fA7xsgLEIqKrTgNvGNU/WT3sDX6rGz4F1k6zfn0gFk/bXZPYGjq2qP1bVVcAVNH+Hqo+q6saq+kW7fRdwCbABfs6G1hR9NpmV+qwNe+K1AXBtx/51TP1maHAK+GGSZUkWtW0LqupGaP7DBp44sOg0lcn6yc/f8HpzOyx1dMcQvv01ZJJsAmwFnIWfs5Ewrs+gB5+1YU+8MkGb618Mp+dV1dY0ZfM3Jdl50AFppfn5G06HA08DtgRuBD7etttfQyTJPOB44G1VdedUp07QZr8NwAR91pPP2rAnXtcBG3XsbwjcMKBYNIWquqH9eTPwHZqy601jJfP2582Di1BTmKyf/PwNoaq6qar+VFUPAEfy4BCH/TUkkjyC5n/gX62qb7fNfs6G2ER91qvP2rAnXucAmyXZNMkjaSaznTjgmDROkrWTPGZsG/hb4CKavtq/PW1/4ITBRKhpTNZPJwKvab91tQPw+7GhEg3OuPk/f0fzWYOmv16Z5FFJNqWZrH12v+Nb1SUJ8Hngkqr6RMchP2dDarI+69VnbY2VD7l3qur+JG8GfgCsDhxdVRcPOCw93ALgO81/u6wBfK2qTk5yDnBcktcBvwH2HWCMApJ8HdgFeHyS64CDgI8wcT+dBOxFM3H0HuCAvge8ipukv3ZJsiXN0MbVwOsBquriJMcBv6T5ltabqupPg4h7Ffc8YD/gwiTnt23vw8/ZMJusz17Vi8+ajwySJEnqk2EfapQkSZozTLwkSZL6xMRLkiSpT0y8JEmS+sTES5IkqU9MvCSttCSbJLloXNvBSd45zXXbJPlUu/2oJD9Ocn6SV/Q43v+T5ML2USAXJZnyGbBJXpvkMxO0P+z3nsUYlyTZZvozJY2SoV7HS9LcVlXnAue2u1sBj6iqLbu9PsnqM12rKsmGwL8BW1fV79vHhDxhJveQpBVlxUtSz7XVm48mOTvJZUn+um3fJcl3kzwR+AqwZVvxelqS3ZOc11amjk7yqPaaq5N8IMlSYN/23ocmOS3JJUm2TfLtJJcn+fAE4TwRuAtYDlBVy6vqqo44t2m3H5/k6o7rNkpycpJfJTmoo32NJMe01bNvJXl0e/0HkpzTVtQWt6tjT/VerJXk2PY+3wDWattXT/LF9j4XJnn77PSKpEEw8ZLUL2tU1XbA22hWYP+z9hmf/wyc3la8rge+CLyiqp5NU51/Y8clf6iqnarq2Hb/vqraGTiC5lEsbwK2AF6b5HHj4vgf4CbgqiRfSPKSLuPfDng1zQNz9+0YBnwGsLiqngPcCRzYtn+mqratqi1okqgXT/NevBG4p73PIcDCtn1LYIOq2qJ9L77QZbyShpCJl6TZMNkjMDrbxx4WvAzYZJr7PQO4qqoua/ePAXbuOP6NceePPcP1QuDiqrqxqv4IXMlDH2ZLOzS5B7APcBlwaJKDp4kH4EdVdWtV3dv+Lju17ddW1Rnt9lc62ndNclaSC4HdgL/suNdE78XO7fVU1QXABW37lcBTk3w6yR40yZ2kEWXiJWk23AqsN65tPnBLx/4f259/Yvr5pZnm+N3j9sfu/UDH9tj+w16rGmdX1X8CrwT+oT10Pw/+vbjm+Msm2X9Ye5I1gc8C+7RVqiPH3W+y9+JhCWxV3Q48F1hCU8k7avw5kkaHiZeklVZVy4Ebk+wOkGQ+TVVp6Qre8lJgkyRPb/f3A05d6UCb2J6cZOuOpi2Ba9rtq3lwiG+fcZe+IMn8JGsBLwPGqlwbJ9mx3X4Vze88lmTd0k7eH3+viZxGM5RJki2A57TbjwdWq6rjgfcDW096B0lDz281SpotrwEOS/Lxdv+DVfXrFblRVf0hyQHAN5OsAZxDM39rNjwC+FiSJwN/AH4HvKE99jHguCT7AT8Zd91S4MvA04GvVdW5STYBLgH2T/I54HLg8Kq6J8mRNEOfV7fxT+dw4AtJLgDOB85u2zdo28f+ofzemf26koZJqiabmiFJkqTZ5FCjJElSn5h4SZIk9YmJlyRJUp+YeEmSJPWJiZckSVKfmHhJkiT1iYmXJElSn/x/TawZL6kwOGoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fs=32000\n",
    "W=mapping2barkmat(fs,64,2048)\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.imshow(W[:,:256],cmap='Blues')\n",
    "plt.title('Matrix W as Image')\n",
    "plt.xlabel('Uniform Subbands')\n",
    "plt.ylabel('Bark Subbands')\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    " - For each such 1/3 bark subband we add the signal powers from the corresponding DFT bands.\n",
    " - Then we take the square root to obtain a \"voltage\" again.\n",
    " - As Python function:\n",
    " ```python\n",
    "def mapping2bark(mX,W,nfft):\n",
    "    #Maps (warps) magnitude spectrum vector mX from DFT to the Bark scale\n",
    "    #returns: mXbark, magnitude mapped to the Bark scale\n",
    "    #Frequency of each FFT bin in Bark, in 1025 frequency bands (from call)\n",
    "    #nfft=2048; nfilts=64;\n",
    "    nfreqs=nfft//2\n",
    "    #Frequencies of each FFT band, up to Nyquits frequency, converted to Bark:\n",
    "    #Here is the actual mapping, suming up powers and conv. back to Voltages:\n",
    "    mXbark = (np.dot( np.abs(mX[:nfreqs])**2.0, W[:, :nfreqs].T))**(0.5)\n",
    "    return mXbark\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hide_input": false,
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Mapping from Bark scale back to Linear"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    " - After having computed the masking threshold in the Bark scale, we need to map it back to the linear scale of our filter bank.\n",
    " - For that we need to \"distribute\" the corresponding power of each of our 1/3 Bark bands into the corresponding filter bank bands on the linear frequency scale.\n",
    " - Then we take the square root to obtain a \"voltage\" again.\n",
    " - We again contruct a matrix to do that in Python. When there is 1 subband in the 1/3 bark scale, it gets a factor 1, if there are 2 subbands, they get a factor of sqrt(2), and so on, using a diagonal matrix multiplication for those factors. It is an 64x1024 matrix:\n",
    "```python\n",
    "def mappingfrombarkmat(W,nfft):\n",
    "    #Constructing matrix W_inv from matrix W for mapping back from bark\n",
    "    #scale\n",
    "    #nfft=2048;\n",
    "    nfreqs=nfft//2\n",
    "    W_inv= np.dot(np.diag((1.0/np.sum(W,1))**0.5), W[:,0:nfreqs + 1]).T\n",
    "    return W_inv\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hide_input": false,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    " - Matrix W_inv as image in python:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "W_inv=mappingfrombarkmat(W, nfft=2018)\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.imshow(W_inv[:256,:],cmap='Blues')\n",
    "plt.title('Matrix W_inv as Image')\n",
    "plt.xlabel('Bark Subbands')\n",
    "plt.ylabel('Uniform Subbands')\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hide_input": false,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    " - The function for mapping the masking threshold from Bark scale to linear scale is:\n",
    " ```python\n",
    "def mappingfrombark(mTbark,W_inv, nfft=2048):\n",
    "    #Maps (warps) magnitude spectrum vector mTbark in the Bark scale\n",
    "    # back to the linear scale\n",
    "    #returns: mT, masking threshold in the linear scale\n",
    "    nfreqs=nfft/2\n",
    "    mT = np.dot(mTbark, W_inv[:, :nfreqs].T)\n",
    "    return mT\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Hearing Threshold in Quiet"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "hide_input": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<iframe width=\"560\" height=\"315\" src=\"https://www.youtube.com/embed/kjMg_VJDREI?rel=0\" frameborder=\"0\" allow=\"accelerometer; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen></iframe>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%html\n",
    "<iframe width=\"560\" height=\"315\" src=\"https://www.youtube.com/embed/kjMg_VJDREI?rel=0\" frameborder=\"0\" allow=\"accelerometer; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen></iframe>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hide_input": false,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    " - On top of our signal adaptive masking threshold, we have the threshold in quiet.\n",
    " - We have an approximation formula from Zoelzer: \"Digital Audio Signal Processing\".\n",
    " - For the case of quiet and only a barely audible test tone.\n",
    " - The approximation for this Level of the Threshold in Quiet, LTQ, in dB and in Python notation is:<br>\n",
    " \n",
    " LTQ=3.64 * (f/1000.) **(-0.8) - 6.5*np.exp( -0.6 * (f/1000. - 3.3) ** 2.) + 1e-3*((f/1000.) ** 4.)\n",
    " \n",
    " - Plot it with python:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "hide_input": false,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "f=np.linspace(20,20000,1000)\n",
    "LTQ=3.64*(f/1000.)**-0.8 -6.5*np.exp(-0.6*(f/1000.-3.3)**2.)+1e-3*((f/1000.)**4.)\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.semilogx(f,LTQ)\n",
    "plt.axis([20,20000, -20,80])\n",
    "plt.xlabel('Frequency/Hz')\n",
    "plt.ylabel('dB')\n",
    "plt.title('Approx. Function for Masking Threshold in Quiet')\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hide_input": false,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    " - The dB of the formula is for sound pressure. Our internal representation has +-1 as a full scale, which corresponds to 0 dB. Assume we play back our audio signal such that full scale appears at a sound level of speech, which is about 60 dB. Hence to convert the sound level to our internal representation, we need to reduce the threshold of quiet by **60 dB.**\n",
    " \n",
    " - Even with an audio signal the masking threshold in quiet still matters at the lowest and highest frequencies.\n",
    " - We **combine** the signal dependent masking threshold and the threshold in quiet by taking the **maximum** of the two at each frequency.\n",
    " - In Python we clip the result to avoid overloading and numerical problems, and correct our masking threshold with:\n",
    " ```python\n",
    "LTQ=np.clip(LTQ,-20,60)\n",
    "#Shift dB according to our internal representation:\n",
    "LTQ=LTQ-60```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hide_input": true,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    " - We can test our approximation formula for our hearing threshold in quiet by producing noise below this spectral threshold, and then listen to it. If we don’t hear the noise it works! \n",
    " \n",
    " We can use the Python function noisefromdBSpectrum(spec,fs):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "hide_input": false,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "from numpy.fft import fft, ifft\n",
    "def noisefromdBSpectrum(spec,fs):\n",
    "    #produces noise according to the dB spectrum given in spec\n",
    "    #Spectrum goes from frequency 0 up to Nyquist frequency\n",
    "    plt.figure(figsize=(10,6))\n",
    "    plt.plot(spec)\n",
    "    plt.xlabel('DFT subband (lower half)')\n",
    "    plt.ylabel('dB')\n",
    "    plt.title('Noise Magnitude Spectrum')\n",
    "    plt.grid()\n",
    "  \n",
    "    specvoltage=10.0**(spec/20.0)\n",
    "\n",
    "    #produce 40 blocks of sound:\n",
    "    noise=[]\n",
    "    for m in range(40):\n",
    "        #Noise in the range of -1...+1, and Multiply noise with spectrum:\n",
    "        noisespec=specvoltage*(np.random.rand(len(specvoltage))-0.5)*2\n",
    "\n",
    "        #make spectrum symmetric for ifft: \n",
    "        #trick: Append zeros to fill up negative frequencies in upper half of DFT, then take real part of inverse transform:\n",
    "        noisespec=np.concatenate((noisespec, np.zeros(len(noisespec))))\n",
    "        noise_ifft=np.real(ifft(noisespec,norm='ortho'))\n",
    "        noise=np.append(noise,noise_ifft)\n",
    "        \n",
    "    plt.figure(figsize=(10,6))\n",
    "    plt.plot(noise)\n",
    "    plt.title('Produced Noise Signal in the Time Domain')\n",
    "    plt.grid()\n",
    "    return (noise, fs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "First listen to the sound corresponding to noise with a flat spectrum:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
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Hoa3jh+M8z8Fe96nyzwS5NIJDXz2r8KM/pbPNvxwI2gm4O0/82n8Oy5T6wXvFiY7wNTBzOHH0s/5A9tfxjYRVdszEwEGExv78zoIze6/+uwKTvYJ3n4okPsT6ynl2P0ZC0vrr+Ef9FXkHh4RDc3l2OB7DxXN+8urIui/We2lD2fyKPhWHMfKeAfp+3gnCAeTAOYiRf30/4EYNvYwHlobYPQHBsjmO+J3/o4ML/nT3YPbSvIm8bsCaOCw044T2eHG+GXqteyeCNY+k/gy3Gr4fBvCE5np/euBLWPmoMRt5nnyVNBn+7PNIQxZxxv9RherLov4XfBdFU8QDeqHDbHDSfGMLSfoRhugBZncE/sz9U4xhOmK4ZYKSPyIEZrh0SPyCYMTzxoRN5T2nB/f30oQzyzKDQXQSQdS8n4T+gGl9p0Z/PuHAx3/pCihBkAVE+3JFOv0yju7xFIrcwO0/oIbdhaJ69DnHeLgzar+sPi/HtP6cuSf78ThBvjgOkpAYv8OLXIxJAHZ2wMIuQtPJC01durnCME1chfe8SnxLP8KAsoDLwXo9PEK6AXPDuoEpPFnAA/Zhfmk9fPXarrFAU3ZtPeo7HIRWf3J9BkMyiJBHMMVSg1Uwuvn+gLSCXQ53/r9KK0VJAkY+PgF6+y1EqIRN/Hh743WAiUpEUAbuO4635VXut+78+31vM8N+zvtp+8xGJoYpfSMzwkeoiji5AjxT+ErJ/PrGeA4+HsiB+I8M8Tz195z+f0APhq71MHZ5fKE6TkIxvnOB474iwqh6lvVlPrI4CAHCxAGDmMD9SP77McFVhnn+hUn/wYV7D3+GwHkHWsOM/4U6Gb9fxYCFTwjfwTx7gzdevolBof9+Pbh8HMezcc07yjx4/WJI2shCgEG/VUEJvTzzzkvut4QWpEAH/oI90XS2zm38QglJQFiBW4Lm9Rj2IYCbBwNNNHxL/Qq1RT6Eu0C2mEfutZR+T0iTvpeBV38MOUL8xr2huhwDcb87AhM1KcXqkM97In3HxEUEigB0jk8JobDkCXK+LP1vwWN/ujhuBK+GdgqXQ1CBPHratgdEEjh1RNHxhHs7++xq44vBxnTAYHhOyeu/bz9IPbGKqbc1QueE7bfi8kzEzwrW98BJesQFvnSCLro9y98Ud/81SeVD9QnbxaxO4oNPfV4+aX4+NPIEo0Lww4nDm78YRr2DMvgpvlY60njcvKy4i4W5hkG7rvfJgRi4eozliC/IJQJuwKkvfb2uej9/6gZegRK1S0Al87pKX8VXhBw49j1cRt08brhFPT9GlrqAeKi7cHlWwU+7mQWIxKR8NAApRExQzPZSiDODssZqRO4+dkH6Cr38o27GjMDH00vwuvF5jT5EMwzs7bxyTEnFRgotANP3bQ6VgAh5nTvthwECqoO7QFfEpcaoQKRBDcEGSI8CyvWXgJVON8RWxi2OTcn+P/G/A76L/SC/Cs10wX9Gdr7egm00ncHiN3m5unVvhZI91ISd+sk8mrSTAnu2zLi9PDKIHzwDBQ/IvfKXrV2CJjw0xNu1g3YO/sPz/wVyycS2xLzjveQ5l0aPvRNCBcoBCVFGGUCwfNL71P1x+qq2xbj9xdU2CPLDwcEBl4QoM8T2pAw5v4T6nf3HwWOGBIi6tDz0nke1eB4N+4UOyEnASoINy7+MxT+8zP92GK/mtuDI3vrzPhhD8gIqwhJIXMS1QIDAj74LNbM9KAZevcH8UVGdhMr23AC5gxxNij/VAYk3nvcqAZ75djuiQ6IDGwFUgxG1GUAdtQVGMsD3vih4pnHiRNX0Z7cyAho/xovJt3DH7L5OiGWGEEAgAAbENgW+tsDJAjUjQx99/3Cayf88TMJN+aIHmLNgO8jCV77ifTQAGsH6jHvBdfgulDZ5zPwfttRGBIbGg+H+xUKAPVT2kAVNBjT2zkbqwUTJ6MPGPmj5qPh6/Ic5gwvSzM7SWYMn/BuHocXGfsAFAXYteJY/wzzJDqZLKkJL+Jd/7gtDSwXRx0sp8q0AncEJQQ2/9cV3PMEWhkk9fv29LkEavsV4QYvp//LHq8ATvQAIRoFs/x3AHPvAfkd3p4xl+d6+6Eaiyfi/4wKLwMZ7fjimQ+SLb4hRzzl/Ygi2PTNHv4CTtURyjXQvxfQERsaGSG/+JwBjwoN+AMLsQxDAkD3chqTEWvN+hGVBsMDNA1b/F7xIDib5VbIJVBKB5oDwgsm/dQeSg8nMUj9hveQJe0u496+AE/lDx5y6B0g5yPOBy0F2hZD38byCfmxIWbzMkRH27rqsBtUE87pWLnO1BIOT9dS2pUHCNOfL8TQkROSAU4nKhYuNSzw9e0/DVsV6Srj1nHrU9AI6EgVogbBK7sdfewdFYXSBgeT4uYbtx3s6JcFszeH1QUmQ/U1G7MTyvaHAtTyxxhjJCXjOtIX/DgIJxxw66X6HPUSvswCtecj6PPptdeD4Ho2Yf0n+NPyHBz62RkD3UNy6KgJMA5hBmclZSGiDxT53APyIhvq6vlYvwMaUdsnBLL5E8kED+AFHQmy8UUgFg1tBb7x/T5PEMsNTVoh2ZUbEB8u/SHxWxnu3dgILx9h+DTbLQVP9Sgz/f4oCvEFpcrZ0VPG2SDBCFux/s4yC44eegKCCxrc3ANxEZsFfvuKENjap/OFBoThbNxtE8ATLgg0PU//KAXd404JKghg64HkU/YXGWwDcfGp+Vv/zwZ7xfz/I/tsJcMSUysmKS/pniUdCxwpz/NHBnUPz+xB6uP2yBnbKJELiv9dHtn9N+9b5FghNccxF5Pb6gYr+dfDDvZb8kgVKgIc4Y4CeBcX/ebmH9bE9oQU0+hPvDbqqRwb8WYDbv3tz8rqWxrEJCvo2eKRGFoTG93RMtz70vTeE/k7fA0CINvSoxy3BAXnvhDk9Ucl/R+V5xsD79d3AsAetrq3+5j3rgooCSUlbAhi68vvnSQwBf/tdR9QD7UKYyJHGHI/Pw+EEBwBqBVL3/2/MtROGoYCty0fA6YNbjbb9sobs0Za7S7x1vwC3D0COQMr/TYIjQtsDb7wHAhb3rL5L/kT5I8dBg2LC7D6OCvd4EcLwhgSA30ikht23fcRadmo97YY3R2t0z0hZ+I6scHybhP05pYHTwL/8fYQbCznDjnmsRaVBRfn+AQYzpXxrfjkB84BnOm+HIvXN94IAUgu+OtbDQf/Xydp/7P+zgREGWsVygBtWIDA1d4BF/YF8Mo5E/MRfxXp3CIjhw7l6vLme97YCJ7x0CMuB2UWr+1A5REA7dr17VfQUEb16VBGV9D17e3aEQBA5a/tZRYuB9AjnvHYCHve8ubl6ocOIiPp3H8V8xE5E/DK9gUBF9XegMBtWMoAaxVEGc4Es/5p/18nB/9bDfjrSC4IATfei9e+HJzpzgHkB634lfEYzvgEF+eVBbEWOebnDmws9hD/8U8Clgf05m4TwfI6sWfiPSGt090dthio92nZ9xF23ZIbfSISA8IYRwvd4DgrsPqLCwYNjx0T5C/5svlb3hwIvvBsDY0LNggr/TkDPQIC3Nb8LvFa7bNGyhvb9m42pg0fA7cthgJOGjLU/b9L36gVHAGEED8Pcj9HGGMitQpQD3Uf/+0wBZ0ky+9i62wIJSUoCa4KmPe3+7a6wB53Au/XGwOV5/0fRyXk9b4QBee3BKMc29ICIHwN+TveE9L03PvRMhvdWhORGNniK+jEJFsayurtz279ZgMb8akcNupPvNPohBTE9h/W5uYX/XgXjgIc4SoCSBVb8g7218Mr+eoGk9sxFzXHWCFb5Dfv2f1dHor/kQvbKMgZ4/ZB6s/sdQ9HBs/zHCkdC54lL+kmKVMrwxJsJSP7/P97xc8GW/+p+XHxbAMXGVP2geRg6yoITgnd4ygFT/80PS4IwBNtE2zchOGFBqfz2NqKEH77mwVxEdwDGtyCC3oCjh4yC/7OW7HBCNkgU8bZ0aXK8QUoCv3+KDNP9S0FNNth+C8f2Aju3VsZIfEu/RAflRsh2U1ayw1PEP0+vvFtBRYNRSCy8R0J4AUEDxPJsvknBFHbAxpYv+r5G+ryItwDFPmiD2UhZyVhBjAOqAly6N1DGQP62Rwc0/In+GH9ejaD4LXX8+kj6LXnzAISvhz1pfpw6yccOAgX/DrSJeNjJMcY1PKHAsr2sxM1G0P1BSaH1bM3lwXs6Lcd5huT4gYHhdIdFX3sux3BK6IGSBUI6FPQcevj1ukqWxU/DfXtLPAuNSoWTieSAZETxNCfLwjTlQdS2k/XEg7O1Fi5zulUE7AbuupH2zJEZvOxIQn5xvJD39oWLQXOB+cjHSBy6A8eT+W+AOPe7S6QJYb3SP0nMUoP1B4m/cILmgNKByVQVsib5SA4XvFb/DQNwwOVBvoRa82TEXIaQPdDArEMAwsN+I8KnAG/+BkhGxrQEb8XNdARyk7V/gLNHtj0iCLl/Uc8viGSLZkP+OIZ7S8DjAri/4snoRp6+5fnnjEd3gH5c+93ALP8GgUAIU70rwDLHqf/Bi8V4Wr7uQT29PX7GSQEWtzz1xU2/yUEdwS0AqfKHSwXRw0suC1d/y/iqQmZLCQ6DPNY/7XiBdgAFBn7hxduHp/wZgw7SUszDC8c5uvyo+Gj5hj5ow8TJ6sFORvT2zQYQBVT2gD1FQqH+xoPEhtRGH7bM/DZ57pQ1+DvBeoxawfQAIn0XvsjCYDvYs2IHjfmMwn88Wsn/cJ9940MCNQDJPrb2BYbEIAAQQCWGDohsvnDHybdGi9o/8gIntxX0YkTmceh4t74ywMVGHbUZQBG1FIMbAWIDIkO2O575agGe9wk3lQGKP9xNuYMcAIr23YTRUYH8Xr3oBnM9CzWPvgDAtUCcxJJIasIyAhhD8z4e+uDI5rbYr/92PMzFP7+MzcuKggnATsh7hR4N9XgeR7z0urQEiKOGB8Fd/cT6ub+kDAT2qDPXhAEBg8HI8tU2PcXFuOq28fqU/VL78HzZQJFGAQlFyhNCD70XRqQ5o73EvMS28sn/BUPzzv7Ddhu1tMTmPB2CF6198o/IgwUfPDKIPTwMuLu20wJatIk8nfrUhJI974W6dXm5ojddwe00noJ2vv9GdMFKzWC/C/0DvrG/Pj/Nye2OVsY3xFVOF4CK9Y8CxkiNwSRBKEClxpfEu0Bqg4ECrYcdO8h5lYAtDpP3bQDGCgnFckxtvEzsxDMNPnF5sLrTS8DHxozjbv38ugq2Qe4+akTyxnODkogM9kxQ6UR0ACR8CMSZBY+7lsFweWi7QHiWur9GhT0uuF08XEb2PVw414QfxXpKZfOLQBK1XoEqBn9/7no9vakvbsClAm/IJYg6jNi4SYEu98G7uYZLhay4nLySeNY66b5y+D2DGEabvwnDsMOjQvIEvjTpfh4+T31ig2xO28W1CeVD9Un3/x8UfcvuujSCBb56xABJVvfPCszE4vJtt+eE9ULptzGKiD2vP2u/TsngeHTAQcZji+xq+/vEexHxtUTSOEdEGrY8etCBF0N2Cq+GbgS6OGN/r8Fs/XK+JAlhsM8JtI5KAEUEh8Rifc97KpDpxdM1OwIxvxwDYboGvYL8zDlXfxeBU76PSJR+brWYR8C2hLtFPoq1S/00fENNGwchgJj2JvUbgtiBSUBCCW38ds5RdII9x/6kQAQWrreOS/zzyb0VQQG/QoBayGJI+P1KPE0783Hcx7h8Pj2h/0lBnr6DN3x7n8EPCMCFX8WZv0U6DP+aw7kHRsBPf4V7P8GFSfn+lYZxwX77PUjYwMGDgsQIAfI4JT6W9Wh6osKjvjOB8b5OQiE6eXywdm71D4a/QBz+dfexPM8MwfieyI4+Bng8+srJ0/hCPHi5KIoCR6Mz6X0mhgxGKfvO+0N+7zP7fW787rflVc637juQBspEQIljdbh7zfxohG1Euvs+AUY+CQJrRX9KN/6dDnSCfoC6+dUwkoNwxVBHMoiGQzJ9Fn9chGo7LT3TdnFAWq689ek9YX5D9lnAKTx6gTPDugF8Qro9C8FygMKAtwYqc/L/TjmHQVqAjbnmvaP2yvhNsLyIWj4TUfwDmvWwuw19HAP5hLa5iTV8fcy6r77v+nG8dJW+PcnKNHjO84fDA4RKQGeDGa/GCSAOrIbAws4I/32bN3kFz7qG9/R9R7Q3ftzBHLjFPDU8EYOAiluA8DBw/wOLO72XAejAqsGvxosDxUrECObHiPfRQoD/aLJoh5p8/IPPtFL057EHdWmT3IWog3T88UqRBIMHIHpTSLQ18r/3gjjz/0l9PYp+RLynPN8+TP3lCkZ9Xz/1xAw3uz7DhWv/1dHg97c6oUYIfVK+7APwRFkEkwf8wUE81e4PxI8NUXuV9hbAYxCh/PvBHn37Rek6iwIamPFOFQWk9rfwebrAPxCMSIqdgYZDvX0cUY893oR7fiJCtz0ovKXxzxSo+HTuJzbLPw9r/PnrPhrDtoWyuCsKjsPywKQIKnvtOmtElojBAIy/57yMzjkAsbnfvAp5RboZBOpFb/jZtt4HbXeyOjCwwANVO3aLJrsCfsYCbsJfyaY2hX66hRD2x8b5v7t89EvvA1NFbAEp/5/9Hr8k0Li4P3Z/wvo9HIDa/34Bxgwuchy+mMKo/fA6qwLvfxJPf0YSdXA69MpIfjo6RDxGvxiKWbiTMkI5scVRSob50rm09LC/e0PAB5n7bPxDN1jJXQvmQiAIM3Xx+hLMagNj9uI9Yz5CPXgAAA01/g69hoJ3+XbPbAToepK9U8O2e/K9wMZ9tPe25b2yAeXIkYGcC6YG8UUS/wD7a/pPM+26SUnNg0hApzRJ/QQBjcSjusOIZgSRPM4BDv+kNywzIrYfcZtCAD7iuRvAUX4EuB64w/hf/20D/8aoN2+H+IZ1NW2P3D6Ws3HAXgMeBHNFi/9/tIw8osDNgTX/VwQRyoW89M6LScYFADmiQ/z7h7szDWRDDvyKeHBL0jraRqZD8zlAPRcGyLCPB2r/63d/wOc6UEgpQ8B8EbkqBGQ+r8CIeYHBywOgBfmJLQYJf/gB1kiOfYSCXkeGS41+nAn0SA6+rbu2cZe+jj9Pf3+LBXCeyUj+CYkSeJLALgSqBi2/SvXu7mGP1LDACEV40X0uCKYIMkaiCF1IMg0F9iIFNEJ1gWQ7KMRailEDbryDCTc0rIEdjii8uDXjiGbB84hDCIx8WRP0A4R89b/W/XH5lzFWwkhBfwKjvVT5ecNjRKc8c/fWOr9+R0WZu9p6EzUYPM1F0TMCRFFDHb05O//F477JvLnv98T2xRiItwCx/vY8bjvVx/W76UKqLmiG1QgKuThDaQuEvg1Hd7GnO4K3wjuuvdXFxEK+Lie3mvcbzSpAj3mVzB29G8dNjVpNrYfIPAPMlnamQqJBxyuvNyQDVHcHt2sBwrKYPxN/XEDMAFPCCLhiDoJCIb2GP1BDA/kiMOYF0YgOuK4BNseKAxQ90wJBfgb9HAehBCJAkENEeJlB6HOkOca+1Mm2SykEiHpeAbbAyRNjAjs5cn9oQVSBHEzu+QvCvcOxAKCJzQfvhiXAADUnwX30VjroCvCJY8rQOk6/LfeLuZSDv8IsPQDFyEIrR0pQHUAKOwUE77XcS/99rf/9gu22nj4nSrGQbvsGu9cAXnu5fJyCPr2XyaStJP4XfGBG+HvjSQotBjw0/jHFlzVtADpI6naUhWXG7s3d+qKMPj66ea/593MBiES6AX97AZPMQoL5/bv7G4BsixtAtXxGuifzagOmeySAT3OjOTI6Qz5t/mr/N8sLNhz3xkM1hhPCCX+EQvcB7LjfRhZ31JCsxaD3cf5LhKw+XIZwO9HJ1IBTv8m9hTwsue5Els2I8HA4xRPVwzv9PDgxRU3/NYSx9tNB1sQHUDe5eUbYPKAF+hM8wkoDS/xQAs6CaLDee8A6+rXmlR56xbyIvpTAnT39hDd+HD4p7LX+u74//A++ToHgBnAFW/Zo0qJGDcBMBCuBeXmEhgM5kcLxyrK//oSduAzHobm060Y9L8SQxbf7GIQ5+po/UUbsvDnHegO9gMX5W/h9DOK+vj+vCDY9h0c7QscFScGdvbtAr8esSQ7AJ34Yi7QNEsqtEt5Ekv5kv3K6jEnQx1RCkgK3f358pP/CuUR6NruggZzBLMKqgPV5vLyHxgYB10mxPd73dkFEB4TIF/o9RPzAWzqQN/45xDetxbP/44KgfCl07wAjOQ+D94PbvW6tUgMAByjMMr2QROoDALlJAC38k76NuJi0GITOSJe6zs8jv4y71gUMAtmOCsotOv25lsmUDA4KAgmWcO5D70AUy5+6t7PDchE3b4AxffvKIkEURFRCBkyjQDmBCzxWA00H7MMY+Db61AuOuvasjQe1ANGCdjvWEa3HhUAxT6jD/7R879ZEe75zwG7IQUedB0x29ryywSUCQXmdQIK9GvUTPug9NHNXicrzZH1Rf23FSUG1Odx3JftpPTU9Xz08NsHBnPVJMy9DqPq2ySwBeEWi/Q0CF3XuAkJ/44UWRuzD+YRTOswHo7oAOZABB30QPxI9IIiPQrJDNwhDDNSH6Tw2P+b7+X2MiQy1rMN4AdR8m8WGPqt8LkxWSiF/uMwfcwhzfEXwgPp/fPphv/QEqPYwOsoEzfwnutb31UuMxkK/Ea9Aub/5bgLpkS59sUTaf7YBIMYgfbH8hAa7//f9sbpic0C04UC89n83loSu+7zLHHVKQuuDXzvBum3CwzbDi8Q6vUN9gX2D3LyQt+RyDYEdRW8ECARrgggEbwQdRU2BJHIQt9y8vYP9gX1DRDqDi8M27cLBul8764NKQtx1fMsu+5aEvze89mFAgLTic3G6d/27/8QGsfygfaDGNgEaf7FE7n2pkS4C//lAuZGvQr8MxlVLlvfnus38CgTwOuj2NAShv/z6en9wgPxFyHNfczjMIX+WSi5Ma3wGPpvFlHy4AezDTLWMiTl9pvv2P+k8FIfDDPcIckMPQqCIkj0QPwd9EAEAOaO6DAeTOvmEbMPWRuOFAn/uAld1zQIi/ThFrAF2ySj6r0OJMxz1QcG8Nt89NT1pPSX7XHc1OclBrcVRf2R9SvNXifRzaD0TPtr1Ar0dQIF5pQJywTa8jHbdB0FHrshzwHu+VkR87/+0aMPxT4VALceWEbY70YJ1AM0HtqyOutQLtvrY+CzDDQfWA0s8eYEjQAZMlEIURGJBO8oxfe+AETdDcjez37qUy69ALkPWcMIJjgoUDBbJvbmtOsrKGY4MAtYFDLvjv47PF7rOSJiE2LQNuJO+rfyJAAC5agMQRPK9qMwABxIDLq1bvXeDz4PjOS8AKXTgfCOCs//txYQ3vjnQN9s6vMB9RNf6BMgEB7ZBXvdxPddJhgHHxjy8tXmqgOzCnMEggba7hHoCuWT//ny3f1IClEKQx0xJ8rqkv1L+XkStEtLKtA0Yi6d+DsAsSS/Hu0CdvYnBhwV7QsdHNj2vCD4/or69DNv4Rfl9gPoDucdsvBFG2j95+piEN/sQxa/Ehj0062G5jMeduD6Esr/xypHCwzmEhjl5q4FMBA3AYkYo0pv2cAVgBk6Bz75//Du+Nf6p7Jw+N349hB091MCIvoW8nnrmlTq1wDree+iwzoJQAsv8SgN8wnoTIAXYPLlG97lHUBbEE0Hx9vWEjf8xRXw4O/0VwwUT8DjI8FbNrkSsucU8Cb2Tv9SAUcnwO9yGbD5LhLH+YPdsxZSQlnffRiy49wHEQsl/k8I1hgZDHPfLNjfLKv8t/kM+cjpjOQ9zpIBmeyoDp/NGujV8W0CsixuAe/s5/YKC08x7AYF/RLoBiHdzL/n6eb4+oowd+q7N5cbUhWp2ukjtABc1ccW0/gY8Ci0jSTh74EbXfGT+JK0Xyb69nII5fJ57lwBGu+77MZBnSp4+Lba9gu3//32cS++1xQTKOx1AClArR0hCAMXsPT/CFIOLua33jr8QOmPK8IloCtY6/fRnwUA1JcAvhg0H4InxAL3Di8Ku+RxM1IEoQXJ/ezljAgkTdsDeAYh6aQS2SxTJhr7kOehzmUHEeJBDYkChBBwHhv0BfhMCVD3KAzbHrgEOuJGIJgXiMMP5EEMGP2G9gkIiDoi4U8IMAFxA039YPwKyqwHHt1R3JANvNwcrokHmQpZ2g8yIPC2H2k2NjVvHXb0VzA95qkCbzRr3J7e+LgRClcXuvcI7grfnO7exjUdEvikLuENKuRUIKIbqLmlCtbvVx+479jxx/vcAmIi2xTfE+e/JvKO+/8X5O929EUMCRFEzDUXYPNM1GnoZu8dFv35WOrP35zxjRLnDVPljvX8CiEFWwlcxcfmW/XW/xHz0A5kTzHxDCLOIZsHjiHg16LydjiyBNzSDCS68kQNaimjEZDs1gXRCYgUF9jINHUgiCHJGpgguCJF9BXjACFSw4Y/u7kr17b9qBi4EksASeImJCP4eyUVwv4sPf04/V762ca27jr60SBwJzX6GS55HhIJOfZZIuAHJf+0GOYkgBcsDgcHIea/ApD6qBFG5AHwpQ9BIJzp/wOt3av/PB0iwlwbAPTM5ZkPaRpI68EvKeE78pEMzDUe7PPuiQ8A5hgULSfTOhbzRypcENf9NgSLAzDy/tIv/c0WeBF4DMcBWs1w+rY/1NXiGb4foN3/GrQPf/0P4XrjEuBF+G8BiuQA+20IfcaK2LDMkNw7/jgERPOYEg4hjus3EhAGJ/Sc0SECNg0lJ7bpPM+v6QPtS/zFFJgbcC5GBpciyAeW9t7b9tMDGcr32e9PDkr1oeqwE9s93+UaCTr21/gANOAACPWM+Yj1j9uoDUsxx+jN14AgmQh0L2MlDN2z8WftAB7tD8L909JK5hvnRSrHFQjmTMlm4mIpGvwQ8ejpIfjTKcDrSdX9GEk9vfysC8Dqo/djCnL6ucgYMPgHa/1yA+j0/wv92eLgk0J6/H/0p/6wBE0VvA3RL+3z5v4fG0Pb6hQV+pjafya7CRgJCfua7NosVO0ADcLDyOi13ngdZtu/46kVZBMW6CnlfvDG5+QCMzie8jL/BAJaI60StOmp75AgywI7D6wqyuDaFmsOrPjz5z2vLPyc29O4o+E8UpfHovLc9IkK7fh6ETz3cUb19BkOdgYiKkIxAPzm69/Bk9pUFsU4amMsCKTq7Rd59+8Eh/OMQlsBV9hF7jw1PxJXuATz8wVMH2QSwRGwD0r7IfWFGNzqg95XR6//DhXs+zDe1xB8/xn1lCkz93z5nPMS8in59Pb9JePP3gjK/9DXTSKB6QwcRBLFKtPzog1yFqZPHdWexEvTPtHyD2nzoh6iyQP9RQoj35seECMVKywPvxqrBqMCXAfu9g4sw/zAwW4DAilGDtTwFPBy43ME3fse0NH1G98+6uQXbN399jgjAwuyG4A6GCRmv54MKQEOER8MO87R4yco+PfSVsbxv+m++zLq8fck1drm5hJwDzX0wuxr1vAOTUdo+PIhNsIr4Y/bmvY252oCHQU45sv9qc9IDzjfM7wd1lzrTgsM6NYFDfC8+az8yP2999jSlgSa6wz95fhIAGA1wg+e9Srolvl7G9o0AhuuHnXl3fwR6ZDgqu/u+vH2X+Ao8cYLJgm18yEFjhKq+woTPexMB4UdVd030yb9a/b73UnwoASb73HtbRR9CxwFLAnuGWbx5fbSD1knfTCiOkoS/ifWApgWC++C6lIB7eq39Ing0QxQBV7ozFVABq3iqdtdIFDfP/zm//rp+/NNAWj/UO9bMrEB8j+XDWcWkug0JZPt70243m0asfHjSAvzTdtb6bf2/du19fkV9PfV61gNFA4vwkXtws9w+67WNvTQ69Pph/NtAJwFZCR/3VsXTxNoNs/O6RwP9R4cZ8ih9ioANApT2pfIvhzsyPHniQW/4LLs5diPC9rQ/vFZJwkf2ySr5VUtlSBXAIb75QtQ5CoFUukb3t06jvuD8PO4eArR9mAQ1QoE61DZ1eScBCoZnBUFLhz9VemA8Xn5hNLl3Pn27pkSCAse7OypBYMSWAIY6rPOiiGM+LAdMfdlv8UCvuJN8m/8HynVML7uJiEJ7zwSXPu5A5j5s/x77Z4Un+kn85Ybyf0T/kkNNc6eAyvzbATwG+Lj4iDd6SrfTtxW5xNC1viq4A8EBv6cAuDRlOLQ1p4Pza2tD5EpUO2443AYlgd17vz7YxohAXL9yx4cCl0Gu/oeS1TRQOlc/EC9qvctKoMDI/185JQn8Qrd7z4DPhINIo4j+w5J7u8zSMx9A88UjARfGIf3iQY+AUD6nTWsJKr06CKgIXvoltL7G6EOCyCj1+nXFQeP8UD5sCqbB789TeqBF5XzAwY+E5bkTthc3DUKgBDZOerAAPlvu40vGRZV1vUL9wwyBHvoKduo8e32tu8a/aPjqyOtDyjl6/g/EL/TbeIcGAPmnj7MDDwGYf3ORlINezYq53rzBhSe7Z3zJRSR9CoRJAfiHgMACvvV+Gnn8jrvCibnl93m0Xgw3b6r/SI++fPN91TMH9NhIRUMn/bI4Qzaz/2uBbjRPixs2Asqrgfe+6InjPffOG3C3jXz04u8aQeYEvBImwCeBFngjRAWFGMYFwyyAXMAuvK6FdL11tlZ/ZcYvArU6uQPZhhZ9LU49Nd63RQfFA6vDMfzjBAJDPsOXPP0Ers9jfzuJqj1FrbfCybxPvCn5Y0MNBLEz8zCFPW6/jsJDwvgDgcTcPJpAhUbnwcR81QcCQRK4RvUvAxZBrobDwhfDh3/AR15DosKJMrECMwGYQ2iFo0KfST57qL56NrgDBs/BfJN5t4gDkTV+XnorQFmC/sSyNoM9JL+Nwhm8WUR1wOlzWX+DfmqPKIZaANfFpcO8RP7J5HsxwxKNyYMw+wn+mHlJwee4KAjB0I388mouwaeMQ8S8th6+1TwxuQrDscSjwoK6KDcJRM//oEV9cuB25/+4QCtGh43Ndqo6pn9+B8x0CgHq+Y2A58aViPKInLw9/ZxEwz4qRFC7tIiZw6bDqXm9eAsFxrubgXxDR4y9vJlI1YhrANT1vQSPihT8BPw7+jF6YPtcQcbKTXu4v2+9rgBKbxU9LD1sBlaGuQL9g9q8KgslfStNMvCbP0/Ak/kO+Wn678nt83kAou4Fdjk5MoJFgc3DiUUqeSZ+q/NpOAqyEPej/L6DzzWn+wrFrwp1+yo9gD5cc1SBHcJRffV7VPkIvWY8JbfUMoTDXAhWbr+8kzsJvXiDo7NWOt3BQAa59ccFtr30TT3CMYB4R6t4h4DWcdTBF5Jj/ar+nANmPb03GP9tPnjJdzxkhaF/0UzZ+++0ZLaGgHx/oP+xuXn/8Uxyw2HRioH7cjKIqP5LiXDISA+asduKfUDnuCr5Kf7xuIHJWwAvwqS5N3TJRXND4Hm7PJRImrHlMQDBI/eavmRAAvtXwRtAxYF0/PHEewK9xJHwwPVmBDYIGcoTN3SB+8R69ST4+YA3MKG7CDa4vAlEXwJsPpNxQoJIP3nKpbyGgDPEtnszfWvDQEl3RApEegjovmy+T4NKuUS8SP73djdG4jewgY8I14Lb+I96RQgsgHcITtIyPAeIsTxH92CMiAIyP1hI4oMGQP38QL84uNZCSsLVwh8+LjjiSy0ED4PhQssw28cXiNUFdT+mgV1HY26Y+HbDr7nFg5g3qYWnyyGJQjSK+O/w8n5zSbFItrHew9bD/IG+gzOCbzX8f0bLaUsUv+8JfwT8hTx4An2m9BKNq3sndc79IbXuREI7YMIhCtA0To4MRmO5PUTcPUBFJcDfCBg4v4CjRqJwo0brfWB2o313fNt01v+Yst5JiD1Xd46JFUR2wTw1fQqRAXhC4AHq+axBP7bLSXJAkzw/CBtFVL0yeBC6UIddOlgGQ/xwc3D2erqi+o6m3QUkAEqM3436wzLKIPpnuu+/CL3Hb0oA6IIGN9T+jnvEeL7Evb4s+zb7zvY4Ndg7pO7oRRNBN/4s/l42OcZNMwbCowJ8ScUEMoMiu638pQ1dBXT/TPFczSjC18JcFDU/MwvSRmoG+bMbNKjDNcFHT8cC+DvuQj5ys7paSZgxgb9P+noCQwgnCDdGPIl7OvzAr0Jif++AJL3KfJa1tYL9/3aDeziSwH32agBR/LozwIaf+lP8q3XIw3G9eK/TBA1IkICuEzD2XDu9f7m9+zyeSRdsX8tPi7Z+SgAZdZj4IXwhA2O40cJbOBwGR7Z1EnwDrH9PQX5AOkEyReK6coJO+F+6U/Ofuk74coJiunJF+kE+QA9BbH98A7USR7ZcBls4EcJjuOEDYXwY+Bl1igA2fk+Ln8tXbF5JOzy5vf1/nDuw9m4TEICNSJMEOK/xvUjDa3XT/J/6QIa6M9H8qgB99lLAezi2g33/dYLWtYp8pL3vgCJ/70J8wLs6/Il3RicIAwg6Ak/6Qb9YMZpJs7p+cq5CODvHAsdP9cFowxs0ubMqBtJGcwv1PxwUF8JowtzNDPF0/10FZQ1t/KK7soMFBDxJ4wJGwo0zOcZeNiz+d/4TQShFJO7YO7g1zvY2++z7Pb4+xIR4jnvU/oY36IIKAMdvSL3vvye64PpyyjrDH43KjOQAXQUOpuL6urqw9nBzQ/xYBl06UIdQunJ4FL0bRX8IEzwyQItJf7bsQSr5oAH4QtEBfQq8NXbBFUROiRd3iD1eSZiy1v+bdPd8431gdqt9Y0bicKNGv4CYOJ8IJcDARRw9fUTjuQxGTo4QNGEK4MICO25EYbXO/Sd163sSjab0An28eDyFPwTvCVS/6UsGy3x/bzXzgn6DPIGWw97D9rHxSLNJsn5v8Mr4wjShiWfLKYWYN4WDr7n2w5j4Y26dR2aBdT+VBVeI28cLMOFCz4PtBCJLLjjfPhXCCsLWQni4wL89/EZA4oMYSPI/SAIgjIf3cTxHiLI8DtI3CGyARQgPelv4l4LPCPCBoje3Rvd2CP7EvEq5T4Nsvmi+egjKRHdEAElrw3N9dnszxIaAJby5yog/QoJTcWw+nwJJRHi8CDahuzcwuYAk+Pr1O8R0gdM3Wco2CCYEAPVR8P3EuwKxxHT8xYFbQNfBAvtkQBq+Y/eAwSUxGrHUSLs8oHmzQ8lFd3TkuS/CmwAByXG4qf7q+Se4PUDbilqxyA+wyEuJaP5yiLtyCoHh0bLDcUx5//G5YP+8f4aAZLavtFn70Uzhf+SFtzx4yW0+WP99NyY9nANq/qP9l5JUwRZxx4DreLhHsYB9wjRNNr3HBbn1wAadwVY647N4g4m9Uzs/vJZunAhEw1QypbfmPAi9VPk1e1F93cJUgRxzQD5qPbX7LwpKxaf7DzW+g+P8kPeKsik4K/Nmfqp5CUUNw4WB8oJ5OQV2Iu45AK3zb8np+s75U/kPwJs/cvCrTSV9KgsavD2D+QLWhqwGbD1VPQpvLgBvvbi/TXuGylxB4Ptxenv6BPwU/A+KPQSU9asA1YhZSP28h4y8Q1uBRruLBf14KXmmw5nDtIiQu6pEQz4cRP39nLwyiJWI58aNgOr5igHMdD4H5n9qOo12h43rRrhAJ/+gdv1y4EVP/4lE6DcCuiPCscSKw7G5FTwevvy2A8SnjG7BsmoN/MHQqAjnuAnB2HlJ/rD7CYMSjfHDJHs+yfxE5cOXxZoA6IZqjwN+WX+pc3XA2URZvE3CJL+DPTI2vsSZgutAXno1fkORN4gTeYF8hs/4Azo2qL5+e59JI0KohZhDcwGxAgkyosKeQ4BHR3/Xw4PCLobWQa8DBvUSuEJBFQcEfOfBxUbaQJw8gcT4A4PCzsJuv4U9czCxM80Eo0Mp+U+8Cbx3wsWtqj17iaN/Ls99BJc8/sOCQyMEMfzrwwUDhQfet3017U4WfRmGOQP1Oq8CpcYWf3W2dL1uhW68nMAsgEXDGMYFhSNEFngngSbAPBImBJpB4u889PeNW3C3ziM96In3vuuBwsqbNg+LLjRrgXP/QzayOGf9hUMYSEf01TMzff58yI+q/3dvngw5tGX3Sbn7wryOmnn1fgK+wMA4h4kByoRkfQlFJ3znu0GFHrzKud7NlINzkZh/TwGzAyePgPmHBht4r/TPxDr+CjlrQ+rI6PjGv227+32qPEp23voMgT3DPULVdYZFo0vb7sA+erA2TmAEDUKXNxO2JbkPhMDBpXzgRdN6r89mwewKkD5j/EVB+nXo9cLIKEO+xuW0nvooCHoIqr0rCSdNUD6PgGJBof3XxiMBM8UfQNIzO8zSe77Do4jDSI+Ej4D3e/xCpQnfOQj/YMDLSqq90C9XPxA6VTRHku7+l0GHArLHnL9IQFjGvz7de6WB3AYuONQ7ZEprQ/NrZ4P0NaU4uDRnAIG/g8EquDW+BNCVudO3Crf3eniIOLj8BtsBCvzngM1zkkNE/7J/ZYbJ/Of6Z4Ue+2z/Jj5uQNc+zwSCe8mIb7u1TAfKW/8TfK+4sUCZb8x97AdjPiKIbPOGOpYAoMSqQXs7AseEgjumfn25dyE0nn5gPFV6Rz9BS6cFSoZnATV5FDZBOvVCmAQ0fZ4CvO4g/CO+906G95S6SoFUOTlC4b7VwCVIFUtq+XbJAkfWSf+8drQjwvl2LLsv+CJBfHn7Mi+HJfIU9o0CioAofZnyB4cD/XpHM/OaDZPE1sXf91kJJwFbQCH89Pp0Os29K7WcPvCz0XtL8IUDlgN1ev09/kVtfX927f2W+lN2wvz40ix8W0auN7vTZPtNCWS6GcWlw3yP7EBWzJQ72j/TQH78/rp5v8//FDfXSCp263iQAbMVV7oUAXRDIngt/Tt6lIBguoL75gW1gL+J0oSojp9MFkn0g/l9mbx7hksCRwFfQttFHHtm++gBEnw+91r9ib9N9NV3YUdTAc97AoTqvuOEiEFtfMmCcYLKPFf4PH27vqq75DgEend/HXlrh4CG9o0exuW+SronvXCD2A1SADl+Az9muuWBNjSvffI/az8vPkN8NYFDOhOC1zrHdYzvDjfsgS0Br74KevQRgkaGAIp5/3rY/piGbb2E+7YDH7UXxvS9/H+ROLWAB4gF955/h3LaMwi5o8Vp81rAMYFTAFmAcTjv+sGySn2MOOp5msZDQKKCanvsw9M1UjQ3eMmDKj05/in9Snc5OV3wrI6N+snI6nyOveYM2vX7MzH5EXgpfUs3nUrKvOgIEMjjOhy7zEO1SWp7r8rjgD9FxjVuPFq7w0ZH/lFR0r6pjIW86j8yjv8yZ0H00hlD+MjoASW78YDl9uoHyrdyykP4BLYfiOp8PniSRAxCGrPWMQUGo/8EABs6z3qVeJxLfAadhdQ4v8KBCrcCFT4yN/VHcD/uvNvBW0KSfbx5s8NLfKrR8YZHg7dSOf+Y+ix5WkD6w9g3MvCs7HYGG8kj/KWJQMDZAyN9X4AKQi67JbF1xbE4qsY1PNXFX8aM287t3w3LQl7+DIt1/hcEXdQyBucBQf36P9IBToWhx6W583xXO5YD/IG9s6YKP/dPQ9O+EDHr/FILZgO2uS4Bwz7X+qN8mTN8gbO8mDt/D2IDp77gs8x1FLc9glq7XwFafWDCfExBihp+WwI5w5o7o/lBOYhDLE2jyU/wj0n0BiJ9grsIggeElYU3uuf/4r+swEXEcnJAiDVx6nlZwfd4GYCAyCuMdMFMeOiI0XvRARaEy4J/xrf0RMjqThbBZHevf6pCwLX0Shr74jXP/f2FITo0Ci7A4fsVCvus1QA3/XhDinnyhwxF7XJd/lq8cAQFCALJx8bmvk+8+HpR9DCwrddY8Qa7+3s3Alj3GDV5/SX2r4EO+F5/Dr07zCqLFXemveI7jHKsR/qvq8Lg+g/A5nlEs0nFKwLM+rTItcmrPy9rbr36QXe+cJL9NevDHH63gaQ1V7zBho78rIqleIZENXzNvBDN0sAReewRpAf7BWAHiTMDevD+x/rytwP51YEftFb/6bPidSDDr7zw/0bEjjr7dkc4swav+XHG6zz3BcZ1YocV+NJ6OTua+WqL8kNbBnBHtPcQPmPAKUZXRWnMz7tpdP+DaT5fQGAFpXljO3o9q0OVc4H2LbdBBrF+IILvwf5H8cYcBIW4Un9Ehmt+1bkQQP7+GLlJBiqCaoGTwrb7RvkufUg8DkXaNP1+H/mBguW+r7ujwAC/4Dtl+pNDXUKIPnV7JrTWOdWFv8SY/GO+un3PBczIJTrdvJIFBP2oj6ZB+wNmP/c/NIVLft1BIwEUDgM6N0G5vhd9HjLYvPh6fr2CRTB7dMHfPt0/cvYaeXwAYETRkWNCrEUxvtk2JwMyRPaHmALNxSRIJ7lV8Ye+67swgYk8bvKXgxO7rEPRRAe3Bz05+75DGQehQ5munDKpf8l5H0MUAx3CmAgBPPn/DIcmf5tHVAJg/HCsIsI1/OhKZ0dfhNdCKDXwQk7AWUebdfx+y/2f87XCAj4FS5WGKvsVdb6+BoI/y0yOBQJJvqv8Ak7SSeS7I/FwvB78xQGYgXkT1z/Bx7i/sX3vNu0It0D7wrO6rA37/GoFTsUHO8dEXTZ0AQm2qztlxyF+J8CLwsu2BbvYy6o6Io8nx9U5unUKQluFZAJTiQ/MEMQCAQIGY8DvgAC9KsiK/KiRroQPRf484oTQR/g7u/46+HN0tUXUuZa8a/wWRiSGxzvwve7In7v7f4BBJO2sefLFQsXNu0ADswHu/w69RDZZANG6BTqK9ePIQXyHRo0AlzDFhUs/akVbA+c+bj5IQM18Bcdxf3gzCL6vgQZK0su2t5lExb9DDGYCQ768em16Q3Mzv8HJ2jQt9lh7qvRxO5CFnj/9i+x8kM0cjNkCmT4Aic1Den+Qs5y+8Dore3QFAURRdMp3HYLzClsC/L7bPOyCObwrhE86JHJ3ujJIbHwqB/EBvHoEA6x+0XJQAfa+H3/9uv23CEFRjCH/pYUqSng9JvQahJaFdAPmOTFD4YAX+ERLQXecznz9TYA09T+5pEFfteQD90E0/h28KMYqQC9/xcnfv9M4bX+SAjuAYELQPVnBO4i0Pwe5h7YavVp7GELV+Fb/0T8qORiwXpCfSPJ47DZwtRVH5c9c+k3A6nyDvdc4YL8yRPm/4gFUgkDINf4+w/FGBoCwhfNFqgoGNvpy2/sFAsF1rwhmRn63OwZlQvv4agsff/uFqP7vfF0x4fXo9+s55DbEDzQB8lCfAa+NTjRiygL0eftU2HG9Enu9R6N+hDXrDoYHkbsnPUNMJrPVBjjKe77UNFMDsPynvuU0+Ym9/Lb4rfy8+xKEGje1+Eg92D75/kpKhMEriSj+3jDW/Kyz5PnGgV276Ad5Api6phQCMt5SPsd8Q+oALnf1wFoDGDucTej6IG75tyQGifYietMHj/0XuRb8pIKpEcX/53qTQAcFhMAtvjADuC+SSMjMt35TuW1E9kKIQwG4cXfmfiICczxED643WtEbfXMylzb6FdM9VDwOx0A4IgVsQGZ+ykpOTZKAfMaVRmQBwLjlPba5qofVAF8JpIHS+ihB0MYTdbVDlDr8QvVAMnxw9jD58PmrgyC/I70NgOJFef9zOr7+5Upf+pQ5I74bvaRIJHgAgBzJ5ARohxF3a0fnO6eQywOlzS4HF7fgtP22pMIj+ha6jYEVyrV6FEAHv+58oMVXv0DD7jsdRgsGy7Xv+0812oJ0wZ+nMXi3AVKGbgpg/Bu1gkh6dODxbkQMSN1EuYWpBxUT8juMwLuKsESpfO09nsIZhoh6jf1jCOeMowjN/Uh6mYaewi09qXzwRLuKjMCyO5UT6Qc5hZ1EjEjuRCDxenTCSFu1oPwuClKGdwFxeJ+nNMGagk817/tLtcsG3UYuOwDD179gxW58h7/UQDV6FcqNgRa6o/okwj22oLTXt+4HJc0LA6eQ5zurR9F3aIckBFzJwIAkeCRIG72jvhQ5H/qlSn7+8zq5/2JFTYDjvSC/K4Mw+bD58PYyfHVAPELUOvVDk3WQxihB0vokgd8JlQBqh/a5pT2AuOQB1UZ8xpKATk2KSmZ+7EBiBUA4DsdUPBM9ehXXNvMym31a0S43RA+zPGICZn4xd8G4SEM2Qq1E07l3fkjMkkj4L7ADrb4EwAcFk0AneoX/6RHkgpb8l7kP/RMHonrJ9iQGubcgbuj6HE3YO5oDNcBud+oAPEP+x15SAjLmFBi6uQKoB127xoFk+eyz1vyeMOj+64kEwQpKuf5YPsg99fhaN5KEPPst/Lb4vfy5iaU0577w/JMDlDR7vvjKVQYms8NMJz1RuwYHqw6ENeN+vUeSe7G9FNh5+0L0YsoONG+NXwGyULQBxA8kNus56Pfh9d0x73xo/vuFn3/qCzv4ZUL7Bn63JkZvCEF1hQLb+zpyxjbqCjNFsIXGgLFGPsP1/gDIFIJiAXm/8kTgvxc4Q73qfI3A3Pplz1VH8LUsNnJ430jekJiwajkRPxb/1fhYQtp7Gr1Htge5tD87iJnBED1gQvuAUgItf5M4X7/Fye9/6kAoxh28NP43QSQD37XkQX+5tPUNgDz9XM5Bd4RLV/hhgDFD5jk0A9aFWoSm9Dg9KkplhSH/kYwIQX23Pbrff/a+EAHRcmx+xAO8ejEBqgfsfDJId7okck86K4R5vCyCGzz8vtsC8wpdgsp3EXTBRHQFK3twOhy+0LO6f41DQInZPhkCnIzQzSx8vYveP9CFsTuq9Fh7rfZaNAHJ87/Dcy16fHpDvqYCQwxFv1lE9reSy4ZK74EIvrgzMX9Fx018CEDuPmc+WwPqRUs/RYVXMM0Ah0aBfKPISvXFOpG6GQDENk69bv8zAcADjbtCxfLFbHnk7YBBO3+fu+7IsL3HO+SG1kYr/Ba8VLm1RfN0uvh7/jg7kEfihP48z0XuhCiRivyqyIC9L4AjwMIGQgEQxA/ME4kkAluFSkJ6dRU5p8fijyo6GMuFu8u2C8LnwKF+JccrO0m2tAEdNkdERzvOxSoFe/xsDfO6u8K3QO0Irzbxffi/gceXP/kT2IFFAZ788Lwj8WS7EknCTuv8Cb6FAkyOP8tGgj6+FXWq+xWGBUuCPjXCH/OL/bx+23XZR47AcEJoNddCH4TnR2hKdfziwjCsIPxUAltHZn+Mhzn/ATzYCB3ClAMfQwl5KX/cMpmuoUOZB75DOfuHPQe3EUQsQ9O7l4Mu8ok8cIGruwe+1fGnuWRIDcUYAvaHskTnAxk2Mb7sRSNCkZFgRPwAWnly9h0/Xz70wfB7QkU+vbh6WLzeMtd9Ob43QYM6FA4jAR1BC370hXc/Jj/7A2ZB6I+E/ZIFHbylOszIDwX6feO+mPx/xJWFljnmtPV7CD5dQpNDZfqgO0C/48Avu6W+gYLf+b1+GjTORcg8Ln1G+Tb7U8KqgaqCSQYYuX7+EEDVuSt+xIZSf0W4XASxxj5H78HggvF+AQatt0H2FXOrQ7o9oztleWAFn0BpPn+DaXTPu2nM10VpRmPAED509zBHmwZyQ2qL2vl5O5J6FfjihwZ1dwXrPPHG7/lzBoc4u3ZOOsbEsP9vvODDonUps9b/37RVgQP58rcH+vD+w3rJMyAHuwVkB+wRkXnSwBDNzbw1fMZEJXisio78gYaXvOQ1d4GcfqvDPTXwkve+ekFuve9raz81ybTIjPqrAsnFBLNmeU/A4PorwvqvrEfMcqI7pr3Vd6qLO8wOvR5/DvhvgSX2uf0YNVj3NwJ7ewa72PEt13CwkfQ4ek+85r5HxsLJxQgwBBq8Xf5tckxF8ocKefhDt/1VADus1Qrh+y7A9AohOj2FD/3iNdr79EoAtepC73+kd5bBak4EyPf0f8aLglaE0QERe+iIzHj0wWuMQMgZgLd4GcHqeXVxwIgyckXEbMBiv6f/97rVhQeEiIICuyJ9tAYPSc/wo8lsTYhDATmj+Vo7ucObAhp+QYo8TGDCWn1fAVq7fYJUtwx1ILPnvuIDvw9YO3O8vIGZM2N8l/qDPu4B9rkmA5ILa/xQMdO+D0P/92YKPbO8gZYD1zuzfGW54ceOhZIBej/B/ecBcgbd1BcEdf4Mi17+C0JfDc7tzNvfxpXFdTzqxjE4tcWlsW67CkIfgCN9WQMAwOWJY/ybyTYGLOxy8Jg3OsPaQOx5WPo5/7dSB4OxhmrRy3yzw3x5kn2bQpvBbrzwP/VHcjfVPjcCAQq/wpQ4nYX8BpxLVXiPeps6xAAj/wUGljEas8xCEkQ+eKp8H4jEtgP4MspKt2oH5fbxgOW76AE4yNlD9NInQf8yco7qPwW86YySvpFRx/5DRlq77jxGNX9F44Avyup7tUlMQ5y74zoQyOgICrzdSss3qX1ReDH5OzMa9eYMzr3qfInIzfrsjp3wuTlKdyn9ef4qPQmDN3jSNBM1bMPqe+KCQ0Caxmp5jDjKfYGyb/rxONmAUwBxgVrAKfNjxUi5mjMHct5/hfeHiDWAETi8f7S918bftTYDBPutvZiGWP6/esp5xgCCRrQRinrvvi0BmX2fQ5bDj0AgPNv9qImyOmv+yQZfQEcBS3Yf+hV+fEBMQyM/UP/xiHWEfP65uiQ/Ub95vaR7wP+tyBwGWYEC9zE6zFM0xBLAX0ONiaaByftfeWR6hXjgNev/TAGsARE/E0w/AUQQKb3g/xM5+naiQjb5s8oAfu89MLhAyIdBlYSfTu8+qPrmS9XAhb6WCD//wbHCwLl6cLViOKl59nwXekLH5Tu2AAlsKgRse8YEsYEzTZGQJL8z9gW5xlHavhDPZP7FNJENMogXh9LMLjv+hmjH6j7uvv7EawhScmf6P8NLgA/GybcV9/w5fvEVskYM/v4IA6HApwJzg2iAbgSkxo89Kne0i+xHer3WPOY5EnxTOdICBzdPh5MEEcFRsG1/gIfM+hs8S3tROtFLhzp7t8NEVX9nQNf713vE+HPHPsHrvtt8WoJifIoQLvlXOKv6eECbQdSBVWuOf1f/fEZ5j7YG3wFAiO/EVJFbgb7LHfnwfx6CCznUuUULogFH/ZIJAfza/Av/iQJpP3mBkjv8e3kKuPykwdwGzb5d+kp/I7gocHO+OH7SDAc66sOdwYiIQbt3xUpxKUEpcze++oTt/2rMdjzTd9w/yLYw+tS0E3rVOoE/6r8PebOE4ctLgbmJgPR4Br14tzEDQM7/NYeYuOV1tTzeDH+Ee710CieA2vsq+t/4S7GEQ2d+lQKTAAs5jYIosid7UrsHBIcJaMTbxNbAHQNJRrd/Q/tfyFY+FLKF9voFLUKnvAmGwAg5PcJ9ifwgrvaAQsdoN/Ms6EQpdWw6R3reuQs9JdDQPwU3O/uMPQz6rDMfb52M0oPsyw/5RXuGwpS55v56PTf68ITqNr68SRD/Khy8Y/y2SBuC4nn6uaCKXLXrB2TGpPx8h72zPXlkeedDKchTjqtDHDpexKeGvgEcAb/HJrUvgjSB8/uLdfuDFcgKQwLQ1/8sAOR3rT3A+jf9PTnVg+4EyoYVPTACqAdjfHm3hwCh/gr0/7q0iHntYnxZxaL31A1TPzW4yAgbfeBK8O71vAk9CjhePd1yGT2l/a98EL+DP1aPC7yx9epv4Iqayrn+wHqD0Z0vyQITRHSJokACgejMY0wm9QH1PL15wMb9+kQ4UvoHIYOzuel7nr5fiQ15X3zMtqdFX0zdfNS4ijucPn36RESveAA50DcsPVIEVXvYuKqHD/oYRs7IEzqQu0N/bMd1Q9h7Ss5u9ojDXYN6uVz+3MQMhD3DWTkaOyjzy3d6dDHEVu8ibui2z4iffbD39sT0vpZ3WIw8gyz8akBews13cneM/jII28BX/4eCRLzHtsx4wH/99Yz90v0MRcW3IcevOv4CS7HxgVW5GnmUezR+dEavOpKA+j1ad+jF70F5hzu7Sz1qx2Y59j60RfX4R3jFM3CC9IbCPwvCXXXkQy7DRk/OjMeIr8A6w6p/9YmuQ+8XvYALCvE6pipPSLKAFvpHC0HDOj9JA5GDdzriil7CZUDtRzTDgPdLhdsGs8G/v7uH37f4O/mM84DIS419JW0Zu5rEzbw3gxJ0DwHIwedBAsotPc8+WP+rgyW7jYbQBGFC0MmlLyg/mz4W+1RGzD3Yjjqsm04VApX7QP1ACf28Wramrij0GDZQPu7FAMIYvDD2x4X1vbj8w64OxSgGConfRD08jQYHSHK+7nqCfp2vGzchD7q5SkF5B4g6FDpFdh2X0rtTcg57br6Mv3oG/MKsO9fHYbwvypf/675D/9zMJgVPQFZMHYg8fcNFvw9ZjBA+DvNaPNpECIaUQeS+Ia+vvbDxB8LjA+wB2D9a/1KLJE/EeYODYn+a/q474HtuyInuhTtONHECqr04Nt+Azj/L/LBHMA+CyAt13sQIxaS9kgKhP8HB7b7rfKSDrShQQZPFGIOT9Sb0N/zuQwY3oEEzRSm+C/58u7GJp0PzfZHSAo3IO2aE6P6ARinwEu6Rxzj2HwIs+2ZLPQORxqC4mfcriR9JlHOY+IN+Dofdeq+KCQXM+NhCFn3ggV87NHIEu6j5DUV4s4Q2qXWrzJA+0YaPxlaCc8ARv6U6cDETvki/in+jQNRIbcUXton3GLUUwTzFaoi0TeuKacis9kZIkLv5/XgCiEpxR5b+tobHvhuCv7QF9H4+DkfHfyH73YKCBbcMqrm+/9R/EnQ0eOgCtgQGr54qRfcLAoiEQXyrhbo/b7/L+WE3IMIav0v8cMSU0XD25gfWfbE7Z8ZuxLcB04iveE28sftsglFIO8fjBMZ0C/TKieICCMrGBLyDQkS+xpgwYBONtqIBvUD4OrL9XHAa/Ry7p3+wg1b2of6R9/p76sFMOgc8Dz1hOZ3Hl38LuKtyAT7zxBMEXD9LRKJDkryGAhKG4oIfUiVtJD/i9kzWpsIOhw3CsMRhfM92Z3wLw396wIDkvXEKNQAYQPtLtUIsQx1yxQA9veSF/XyQ/x997UhIvNuGX0P+t5RCwD/Rg7v7RkTYvc79LnoQ+oOK+AKpQyA527byQ+aLY8GdAR3PAb1KfmfDEHBzfsF9AMkOv4ULXoGgAN1Ge0JrSuN+nT3iR6KFC8s+syS7tDJv/Bp0KMcACjR9lgashktA+f4qddKC3cN8ATSA1zh4tUbGs39QCbiBsziWQuJCgcd4xgHEvr6FighIePnlfZi8tESlAV3AeID4gT3IlUQPB5Y61wWBu7NBPoIpb831RL47u2fzqrmPAnY4MsE8ge/6aYcogrK3YDv1gSA78rdogqmHL/p8gfLBNjgPAmq5p/O7u0S+DfVpb/6CM0EBu5cFljrPB5VEPci4gTiA3cBlAXREmLylfbj5yEhFij6+gcS4xgHHYkKWQvM4uIGQCbN/Rsa4tVc4dID8AR3DUoLqdfn+C0DshlYGtH2ACijHGnQv/DQyZLu+swvLIoUiR509436rSvtCXUZgAN6BhQtOv4DJAX0zftBwZ8MKfkG9Xc8dASPBpotyQ9u24DnpQzgCg4rQ+q56Dv0YvcZE+/tRg4A/1EL+t59D24ZIvO1IX33Q/z18pIX9vcUAHXLsQzVCO0uYQPUAMQokvUCA/3rLw2d8D3ZhfPDETcKOhybCDNai9mQ/5W0fUiKCEobGAhK8okOLRJw/UwRzxAE+63ILuJd/HcehOY89RzwMOirBenvR9+H+lvawg2d/nLua/RxwMv14Or1A4gGNtqATmDB+xoJEvINGBIjK4gIKicv0xnQjBPvH0UgsgnH7TbyveFOItwHuxKfGcTtWfaYH8PbU0XDEi/xav2DCITcL+W+/+j9rhYF8iIRLAoX3HipGr7YEKAK0eNJ0FH8+/+q5twyCBZ2CofvHfw5H/j4F9H+0G4KHvjaG1v6xR4hKeAK5/VC7xkis9mnIq4p0TeqIvMVUwRi1CfcXtq3FFEhjQMp/iL+TvnAxJTpRv7PAFoJPxlGGkD7rzKl1hDa4s41FaPkEu7RyHzsggVZ92EIM+MkF74odeo6Hw34Y+JRzn0mriRn3ILiRxr0Dpkss+18COPYRxxLuqfAARij+poTIO0KN0dIzfadD8Ym8u4v+ab4zRSBBBjeuQzf85vQT9RiDk8UQQa0oZIOrfK2+wcHhP9ICpL2IxZ7EC3XCyDAPsEcL/I4/34D4Nuq9MQKONEU7Se6uyKB7bjva/qJ/g4NEeaRP0osa/1g/bAHjA8fC8PEvvaGvpL4UQciGmkQaPM7zUD4ZjD8PQ0W8fd2IFkwPQGYFXMwD/+u+V//vyqG8F8dsO/zCugbMv26+jntTchK7XZfFdhQ6SDo5B4pBerlhD5s3Ha8Cfq56sr7HSE0GPTyfRAqJ6AYOxQOuOPz1vYeF8PbYvADCLsUQPtg2aPQmrhq2vbxACcD9VftVAptOOqyYjgw91EbW+1s+KD+lLxDJoULQBE2G5burgxj/jz5tPcLKJ0EIwc8B0nQ3gw28GsTZu6VtDX0IS7OA+Yz4O9+3+4f/v7PBmwaLhcD3dMOtRyVA3sJiinc60YNJA7o/QcMHC1b6coAPSKYqcTqLCv2ALxeuQ/WJqn/6w6/AB4iOjMZP7sNkQx11y8JCPzSG8ILFM0d49fh0RfY+pjnqx0s9e7t5hy9BaMXad/o9UoDvOrRGtH5Uexp5lbkxgUux/gJvOuHHhbcMRdL9DP399YB/zHjHtsS8x4JX/5vAcgjM/jJ3jXdewupAbPx8gxiMFnd0vrbE8PfffY+IqLbibtbvMcR6dAt3aPPaOxk5PcNMhBzEHP76uV2DSMNu9orOWHt1Q+zHQ39Qu1M6jsgYRs/6KocYuJV70gRsPVA3ADnveAREvfpcPko7lLidfN9M50VMtp98zXlfiR6+aXuzueGDugc4UvpEBv35wPy9QfUm9SNMKMxCgeJANImTREkCHS/D0YB6uf7ayqCKqm/x9cu8lo8DP1C/r3wl/Zk9nXIePco4ST01vDDu4ErbfcgINbjTPxQNYvfZxaJ8ee10iH+6ivTh/gcAubejfGgHcAKVPQqGLgTVg/059/0A+i095HesANf/AtDKQxXIO4MLdfP7tIHvgia1P8ccAb4BJ4aexJw6a0MTjqnIZ0Mkef15fbM8h6T8ZMarB1y14Ip6uaJ524L2SCP8nLx/KgkQ/rxqNrCE9/r6PSb+VLnGwoV7j/lsyxKD3Yzfb6wzDPqMPTv7hTcQPyXQyz0euQd67DppdWhEMyzoN8LHdoBgrsn8An25PcAICYbnvC1CugUF9tSylj4fyEP7d39JRp0DVsAbxOjExwlHBJK7J3tosg2CCzmTABUCp36EQ0uxn/hq+tr7J4D0Cju9f4ReDHU85XWYuPWHjv8DQPcxPXi4BoD0eYmLgaHLc4TPeaq/AT/VOpN61LQw+si2HD/Td/Y86sxt/3qE977pcylBCnE3xUG7SIhdwarDhzrSDDh+874ocGO4Cn8d+k2+XAbkwfj8uQq8e1I7+YGpP0kCS/+a/AH80gkH/aIBRQuUuUs53oIwfx35/ssbgZSRb8RAiN8Bdgb5j7xGV/9Of1VrlIFbQfhAq/pXOK75ShAifJqCW3xrvv7B88cE+Fd71/vnQNV/Q0R7t8c6UUuROst7WzxM+gCH7X+RsFHBUwQPh4c3UgITOdJ8ZjkWPPq97Ed0i+p3jz0kxq4EqIBzg2cCYcCIA77+BgzVsn7xPDlV98m3D8bLgD/DZ/oScmsIfsRuvuo+6Mf+hm470swXh/KIEQ0FNKT+0M9avgZRxbnz9iS/EZAzTbGBBgSse+oESWw2ACU7gsfXenZ8KXniOLC1eXpCwIGx///WCAW+lcCmS+j67z6fTtWEh0GAyLC4bz0AfvPKNvmiQjp2kzng/ym9xBA/AVNMET8sAQwBq/9gNcV45HqfeUn7ZoHNiZ9DksB0xAxTMTrC9xmBHAZtyAD/pHv5vZG/ZD95ujz+tYRxiFD/4z9MQzxAVX5f+gt2BwFfQEkGa/7yOmiJm/2gPM9AFsOfQ4dwNTcJfNV4kkezNaX/2QOFQC8KOAUXRAV/7kQ/yejGd8ofOPq9ykUl/W8E4IKGuSi9c3qu9aj7Nf2ZAGYCvz1xxSp+/MkYtH1BchEMs+c2gIvNu8OB48jWf8sCVgSePqwGCzYXujV7z8igiWB+H8dc+BUKq40uAMLGmrsX+0IxygTyRd9/4Pnif23DCn01vl09tDgHlNZvLoKefhfHZYhWwvBAJsubhrS6O3g1uWU6kkBHMOU5Yis5AdZBFDum/95xOP4h/4E4UfnXQi93QHva9yf553lGgP+A6H03/NM2J8DchPc6FUZGhGrEKbykAUE39MkzRIPFV20le6WBInZWwFsFePy+yKlD3L8hu7ouOLasR5pKcgX1dgk97IFrhF27YXOeeUnIC/L5e693W/zxQQYIXsaOSB94C0eT8hAGg0KfPCtyPz8ExuhGKXmju6oC/roz+gnJsr05v1j7pjrrkYlLFH/4wRSVs7qFxla8LHVkeh9H5OsUwY5E7fuwfbt3W4j3Qu/SN7vEgUWCdcrDfXkG4QwTeY/7JMDPxA3x9wS9+wiLrwcluXVKMj6+yE87crpWvTx/TkQs/cY+LztaBIZBfISRgJCJQEabPHfHWH+wAF6Cm4BbxC/+VrjCsn8GK3yYA4D+XjmpQKj2OL9vhb79K3ykyt9NpwITQeBE+vzavfrJfzIaQyi7A73ZdtVIIr4Fg3j9VcimtEaCCf0vgiRDwLtDwTi+WQtA+71CS///++D8x8GePyMDx8aRPmC/oH3aCQzBOHYrfjXLVsdtiZwE18GQ+yI/N4XguRT91HhlAupFqv5OjV79539w8iu/c3t7L5pGJwLywCXFyAnkSTG4wnb/0H036n0mtsKFo8DwCUCz+HzBxhQIREYkhc32tfafREAFdhAMA1UF/r2a+nJ4MvZCPGDHOrVDfnH/g7wmOa3Du9BqfXV6908aO5RCPIjjjAnvv74kjHlJA3qlfNVGCa9TeQQ+bMfOOby5K0YYN0c5f8eBQnM+ibo0wE8+5wI3AM8B18j4P9GIr86qtW8JxD6CuMKCJD8mTGy9VQXyt9f0HsfDr8b/YvgUPo94ZG/lBJfOeI46PcfIPe8/t+x/foEWA/f57j9UxRU3w8SvxzV2Jwc9xlxDxwRMQ/dyNfsRgeZ08fv3sVmJ8MmxiHpE6gsuQ+5JzEb7DP1MOTWkugcDv/3OQCMGyX7jiOq+2EAuiZY5DMM/cCW8QTx+c0dFvANj/XhIUAAEeo72z70EQSw4E4ffPwFDyoLr/rI7HXGBROdBV0dqQ0KCtr8Nvgr+l3LVxoY+ckPgNwY6abhrwwqAjMIl/gQCcv0BDDZGIogLAYZDjoU9fKSObMHbwDWBjb+Hwc9CYIaLhG9IBg4ZeU6GlYDZDIB9ScNfPLx9LfrEAgp2w82ihg94TAAyB+SGksG5gaG+Roal/SX/BgA1PYpDZPvBuXR5OcTyB7g4Vj4xBjoC0YJ5gi0DrX5iOE4A4n4WeKYAcQgbSuDJO39jO1A36QHEwmZAg8KwifKDmMIOCamDZ0MGPzlNGwB/OdUHr0POx0NIDHhbyIs03kFnceLHeJHVPct31Dh8sub+SHJ7Ol16z8fKepVCijk0eiP8n8KEPTYGMMZQt9m3VrM3wrM6cEEwhRV5JLLWQF7G7YPkAnf5zYUafWPv/bzrwv7FD4igwZQ4Gv88BNrBrMuO/p48l0Mf+xHD27jCwHPCCMBuxCXEnzSVPk8DkzeUg6SH9s83yWN4bADuQ/j2MsDk9146RYOwimrBSAhYxv8whrfCCzU8pTifu+p5ag4Qw5mJIU38PXGHgPxHiB91g4XCOGB8aIII9RZ+AH16/8L3DLk9q4xGagRT8uP1HD5lRI5xhL+4gHR2ksQG/tCGk/30bRB262oOSxEE1kR5BU4C8LsUuwVAsMOEwvV1akEvPjE9Wwm/jhiunjknw6PKOseZf+v3kQQ4QfMGrnsZfJzLhb3tApEDewIqPjdFcMGGcX9DCIozitkuOztyfb4JfzV/+l053QHCMAi+d4jMg1h/JP83xo5LUsCU/sLDf/uqCbQ3PzVcRybCbgV0+kGGWXz+jMNGDLyCtdRFkkK1AJE4ODfO/guJsMQEgT39MjXufvb16z8DeCJ/Dz/v+ie7tgRvt75GaXcGPrOIBX/Z/J78agBlsv46tYNvMOND4gqT905DtYJufKQBU7jhPP/GOlBzx0zDDcO/xIW/tI1ghXxMLj8TEhlE4rToelQ4RwByfh++UjYEg7OC7sQOfCiPLgLcj5qBzgCFemWMjbbWfYd0NMUHw2GGbnjHtCxCqgwsuxR/80Tufu3JjYkCwpaFE0VRgfq/m7pBvrX79DeWghYAQo8dOgRCOf7YNNTBUbbjRY0GQXybPiX3LT0gt9e/JjsPwedxK/rNSW5HKH/dxT147z/piPYDhnB2uvTG1AiEwadMe3OPBVqMyYVc+lfHfwIJCy5/1XyiPPL3zXCFArnRG/lr8wjCbwfxB1TyVoVugHh+Col/CuX6L/iiQnm+f8d0c4jEVD5QvVL8lMCKg6oChBOrwa4B/yyYf0Z6kT/CQ4rMosTTvGj/6dFkvIE05gB2DHf/g0C7tjJ4InXEvKaKtUJDv9cJn/xTAcRBH/uZwko4cXumQ4nBhwC6flK6JUKN/qvIW8PpwoF/LPvNO8SGdn7qzEQFQTa0+8YCxbCtt7I5YkJfkOXK+LjYA9+vF1OfrxgD+Ljlyt+Q4kJyOW23hbCGAvT7wTaEBWrMdn7Ehk077PvBfynCm8PryE3+pUKSujp+RwCJwaZDsXuKOFnCX/uEQRMB3/xXCYO/9UJmioS8onXyeDu2A0C3/7YMZgBBNOS8qdFo/9O8YsTKzIJDkT/Geph/fyyuAevBhBOqAoqDlMCS/JC9VD5IxHRzv8d5vmJCb/il+j8Kyol4fi6AVoVU8nEHbwfIwmvzG/l50QUCjXCy9+I81Xyuf8kLPwIXx1z6SYVajM8Fe3OnTETBlAi0xva6xnB2A6mI7z/9eN3FKH/uRw1Ja/rncQ/B5jsXvyC37T0l9xs+AXyNBmNFkbbUwVg0+f7EQh06Ao8WAFaCNDe1+8G+m7p6v5GB00VWhQLCjYktya5+80TUf+y7KgwsQoe0LnjhhkfDdMUHdBZ9jbbljIV6TgCagdyPrgLojw58LsQzgsSDkjYfvnJ+BwBUOGh6YrTZRNMSLj88TCCFdI1Fv7/EjcOMwzPHelB/xiE807jkAW58tYJOQ5P3YgqjQ+8w9YN+OqWy6gBe/Fn8hX/ziAY+qXc+Rm+3tgRnu6/6Dz/ifwN4Kz829e5+8jX9/QSBMMQLiY7+ODfRODUAkkKURYK1zLyDRj6M2XzBhnT6bgVmwlxHPzV0NyoJv/uCw1T+0sCOS3fGpP8YfwyDd4jIvkIwHQHdOf/6fzV+CXJ9uztZLjOKyIo/QwZxcMG3RWo+OwIRA20Chb3cy5l8rnszBrhB0QQr95l/+sejyifDnjkYrr+OGwmxPW8+KkE1dUTC8MOFQJS7MLsOAvkFVkRRBM5LK2oQdvRtE/3Qhob+0sQ0driARL+OcaVEnD5j9RPy6gRMRn2rjLkC9zr/wH1Wfgj1KIIgfEI4Q4XfdYeIAPxxh7w9YU3ZiRDDqg4qeV+75Ti1PIILBrf/MJjGyAhqwXCKRYOeOmT3csD49i5D7ADjeHfJds8kh9SDkzePA5U+XzSlxK7ECMBzwgLAW7jRw9/7F0MePI7+rMuawbwE2v8UOCDBj4i+xSvC/bzj79p9TYU3+eQCbYPextZAZLLVeTCFMEEzOnfClrMZt1C38MZ2BgQ9H8Kj/LR6CjkVQop6j8fdevs6SHJm/nyy1DhLd9U9+JHix2dx3kFLNNvIjHhDSA7Hb0PVB7852wB5TQY/J0Mpg04JmMIyg7CJw8KmQITCaQHQN+M7e39gyRtK8QgmAFZ4on4OAOI4bX5tA7mCEYJ6AvEGFj44OHIHucT0eQG5ZPvKQ3U9hgAl/yX9BoahvnmBksGkhrIHzAAPeGKGA82KdsQCLfr8fR88icNAfVkMlYDOhpl5Rg4vSAuEYIaPQkfBzb+1gZvALMHkjn18joUGQ4sBoog2RgEMMv0EAmX+DMIKgKvDKbhGOmA3MkPGPlXGl3LK/o2+Nr8CgqpDV0dnQUFE3XGyOyv+ioLBQ98/E4fsOARBD70O9sR6kAA4SGP9fANHRb5zQTxlvH9wDMMWOS6JmEAqvuOIyX7jBs5AP/3HA6S6OTW9TDsMzEbuSe5D6gs6RPGIcMmZifexcfvmdNGB9fs3cgxDxwRcQ/3GZwc1di/HA8SVN9TFLj93+dYD/oEsf3+3/e8HyDo9+I4XzmUEpG/PeFQ+ovgG/0Ov3sfX9DK31QXsvWZMZD8CggK4xD6vCeq1b86RiLg/18jPAfcA5wIPPvTASbozPoFCf8eHOVg3a0Y8uQ45rMfEPlN5Ca9VRiV8w3q5SSSMf74J76OMPIjUQho7t081eup9e9Btw6Y5g7wx/4N+erVgxwI8cvZyeBr6fr2VBcwDdhAABV9EdfaN9qSFxEYUCEHGOHzAs/AJY8DChaa26n09N//QQnbxuORJCAnlxfLAJwLaRjsvs3trv3DyJ39e/c6Nav5qRaUC1HhU/eC5N4XiPxD7F8GcBO2Jlsd1y2t+OHYMwRoJIH3gv5E+R8ajA94/B8Gg/P/7y//9QkD7mQt4vkPBALtkQ++CCf0Ggia0Vci4/UWDYr4VSBl2w73ouxpDPzI6yVq9+vzgRNNB5wIfTaTK63y+/S+FuL9o9ilAnjmA/lgDq3y/BgKyVrjv/lvEG4BegrAAWH+3x1s8QEaQiVGAvISGQVoErztGPiz9zkQ8f1a9MrpPO37Icj61SiW5bwcIi737NwSN8c/EJMDP+xN5oQw5BsN9dcrFgkSBd7vv0jdC24j7d3B9rfuORNTBpOsfR+R6LHVWvAXGc7qUlbjBFH/JSyuRpjrY+7m/cr0JybP6ProqAuO7qXmoRgTG/z8rch88A0KQBpPyC0efeA5IHsaGCHFBG/zvd3l7i/LJyB55YXOdu2uEbIFJPfV2MgXaSmxHuLa6LiG7nL8pQ/7IuPybBVbAYnZlgSV7l20DxXNEtMkBN+QBabyqxAaEVUZ3OhyE58DTNjf86H0/gMaA53ln+dr3AHvvd1dCEfnBOGH/uP4ecSb/1DuWQTkB4islOUcw0kBlOrW5e3g0uhuGpsuwQBbC5YhXx15+LoKWbweU9DgdPbW+Sn0twyJ/YPnff/JFygTCMdf7WrsCxq4A640VCpz4H8dgfiCJT8i1e9e6CzYsBh4+lgSLAlZ/48jDgc27wIvnNoyz8hE9QVi0fMkqfvHFPz1mApkAdf2o+y71s3qovUa5IIKvBOX9SkU6vd8498ooxn/J7kQFf9dEOAUvCgVAGQOl//M1kkeVeIl89TcavE4Cn3QaRRA/cME4RN9BF8JIQAVF6nDwzY10iITbS60FIPyCO7GCO4J2vYe7V365DnhEjPYVQvvusIQrsMSCS7UohDA/kMRBeUAJ2cORyUBC0Lqu/QqDWL9ew8/3U77r0UVP+LOiPw5607WugR3FE7gNBsc/NsT5vGF4UL2yhh02+ECYBJKppMAshlME0oQcyOt5k3uwSP/LOi/w9g2AJ8WcBwCGQgdWAoKCobbu+JYCRj5U/3g14XroBVsylLlyLYxCPIavQaV/WgE7utkFxIEZO+zwMrXNfbT6yzwDfPiEGHhN/g3ErDNNtBizCQDOtrARgPj39xY2UIbygW7J1YYLAXxGTpfKw4vFOcRbx3XALoikv2y0jwfqBEvyMsYsB125AQBof3HHLYOpPIa80Yos83Q9Qi6Ctz33mwHYx4WHnUaXPhWAKsXov2q9NLxXtsKBLb1ORiiNtj8VARkBjcGfOBo51fjVvY24B4f/teHDNYk3gSk4bj1eQZEw+UL+dME+bgTlAkI6jUOxCgs+NsgrwM44fffRhJ08mDi1BOVKQ71Ux4W41bcVe1wFp8OVu0J5sL8W/Hq9Cj9RQvU9gs3iLeGEEwH2TqAXQvmyOEEuKQC4AjT92fHDetc4prpSOJiG/rngiXGHFIOUgZCyl41EQLoKvsC7SVHAPcRNcp69FS1sv267XwuygAF9QkQ4fUjB9UKeQafFRYgivgBDkPY++UIFtEQGwrVAGz8hiEv3aLL8OUA9vfJDtUtBQcx6gbn/dswju/985MTqflBDvHmS/+SD/0BhhCg8ov7acmW8WERs8/X/bqk+gZxz0XmTP6LRhHtQ/g7Avwa4sl6KCP6+g4V+ri+41GFDeMD3QJ61NIlBwyj7H/UjSrMDX31rAcvJ+MKEAF16z8QyhuUIHTPGLxBCYf7UC7vMrYXpRfXM/KjyysPFHcDnRx90IjbvEXA/k4lZPZNT37bTPk72JsKyg8A5uPm6gqr8+ztXOCI6R8v4yNTzukMMPLi7nAKi+3oGx7YZQgD4B/fxul/Bmb5heJ4EyPyS+mT0E/6rdGoBJEasfG7CxYJbvPUGQAMwzElEVrgxStpCXD7ih/1BIzuau+uOLT7HRHF+eDP+N/02goBIQ5b8tXFPxoI96osd86XzsoR1eR4GfX4UOX4FZvPPvbM6Wokw+ffOa/uA/yOCVXxv90u5QsWo9jbBDDsn0OO9Rj1YAPwzaIaeyjV2jUN2eGlzh/rOe7VBRXRXApdSIf5kwSGFZwcyfC3FSPZzCiZHMfy5Q4w3G3Rj+8UC2gEeQgVwlwWhhOcBIMIlwfsCSAkvhP/9pDxwQw6EWvmmBT5HgcY0MmDL3Pjl/WJMa8DvTEQFOXaCOYYEAEJRQgYGs3xSenVCS8ra/VuHmgD6xY69zHv4vGJ51ybxArgGCLUHi0UCBoaz8nVBYYZuuK6/8IaNfbj9F0VeyT5E3bsAyTmAHIOJ0HFFHvgN/MCBikFWfTsNtAFsSMfCzsPyc2u5DrqttBm5Jb2dBR54GceMenABuzkgDMFMckPjxUNNOtLbf1x2Tbsqg1V+ODRN/j5FBQXGPrH4S718/+h6s7h2wKS+lMImA3L3gwN2fZxKRHjkRGhGUfi9hiX9JHcmv0S/sX1SDTT5twThvOcA032wQafBeLwybxaA/kO2vqc1R7VLvRX6fYfZgAu7YP1chN75nf3bwJJspcBscfp5+kcqiEUAUINVN6k3yX5eP7zDTL93e52/pjhef5DEs3okdP/MMgowuI8Hx0sd/U9MIQmVsQ+/L3tfA++98wHNAVnK8QDmQvtQ3D6uectzv73IScj2DTt8ATY8Vr9huGr78/3xbZpBkcIQyB28bsj9TSkyFjUxez8E0EClCsXFCw23Pyw8KwX5gF2GIsG/Be+G5QOQx4//arvNQLux2fZrj0ALh/ks/OD9yQyPgXxH14A7giOBOuoDQPs8ysJotfHAvupJOOY8NIJEvi0Ci3h8wBu57wruehi8S792NQ088APRhlPFJXZugNaZwbs3BlJHgUC2BOKLMwbrtNNFkAG0waZ7xb1RAL64q3q8QYy7ywEFfQJ66j18fer5oXuAeWZDCYOce+G5BoKRuKYHQEQr9wg2ivpxxdKBkPe+AlH8OPk5yGtD3/38jZgEaziVgA4AhDnMwvYGzsP+Rp8AngIdf7S5rwJ//rxvxzzUeDS86Dn0BgDBJDgMOSv4xoHw9ew0ZEtsAkmw/og8/KuGIcpg++u9dIJTBCD6Vjb2h+A7frtadJDG4z06PAZ+l8QihUm7S7qwB4lABP9YflV7W3x7SGuw0v6pOuXCskabf370RMnWwiU9rHTpAZa59I7wUbcCN4DyOdACeH4SQR2EQUnag7Fxj/DpQTm54kET+pUIuYg8PA+GooMmcqaFYMBdiXI11fy890t+4bsjQeX3sgSffjEACPgEuoXLAgYKxFCCo70XwWQAxfcoARXCMEgcDNeCHfZztdK28vo7vpEFtbxPv3qGVXN/QDnDczlYBfH/7zW4u2e+eH05rLj+3Eys/QxyXQlydaYAsce2UdjEjsBVO5XPZ33F/9fup4LNdOR0hHYkgpo+yTgWf9SDKe38vf8I/UnJ+Z7BFUUYeFgCrbQUxhpEfj06BYMHfH6D/4sGMoNUurGELQKVNbfv1EkV+yi2e3nU0YuALLfQe5z/LULVxB/AAXhItu+9tgPhcggGPLhpAoR06QK8uEgGIXI2A++9iLbBeF/AFcQtQtz/EHust8uAFNG7eei2VfsUSTfv1TWtArGEFLqyg0sGA/+8foMHegW+PRpEVMYttBgCmHhVRR7BCfm9Sf8I/L3p7dSDFn/JOBo+5IKEdiR0jXTngtfuhf/nfdXPVTuOwFjEtlHxx6YAsnWdCUxybP0cTLj++ay4fSe+eLtvNbH/2AXzOXnDf0AVc3qGT791vFEFu76y+hK287Xd9leCHAzwSBXCKAEF9yQA18FjvRCCisRCBgXLBLqI+DEAH34yBKX3o0Hhuwt+/PdV/LI13YlgwGaFZnKigw+GvDw5iBUIk/qiQTm56UEP8PFxmoOBSd2EUkE4fhACcjn3gPcCMFG0jta56QGsdOU9lsIEyf70W39yRqXCqTrS/quw+0hbfFV7WH5E/0lAMAeLuom7YoVXxAZ+ujwjPRDG2nS+u2A7dofWNuD6UwQ0gmu9YPvhymuGPPy+iAmw7AJkS2w0cPXGgev4zDkkOADBNAYoOfS81HgHPPxv//6vAnS5nX+eAh8AvkaOw/YGzMLEOc4AlYArOJgEfI2f/etD+ch4+RH8PgJQ95KBscXK+kg2q/cARCYHUbiGgqG5HHvJg6ZDAHlhe6r5vH3qPUJ6xX0LAQy7/EGrer64kQCFvWZ79MGQAZNFq7TzBuKLNgTBQJJHtwZBuxaZ7oDldlPFEYZwA8089jULv1i8bnovCtu5/MALeG0ChL40gmY8CTj+6nHAqLXKwns8w0D66iOBO4IXgDxHz4FJDKD97PzH+QALq49Z9nuxzUCqu8//UMelA6+G/wXiwZ2GOYBrBew8Nz8LDYXFJQrQQL8E8XsWNSkyPU0uyN28UMgRwhpBsW2z/er74bhWv3Y8fAENO0j2CEn/vctzrnncPrtQ5kLxANnKzQFzAe+93wPve0+/FbEhCY9MHf1HSw8H8LiyCj/MJHTzehDEnn+mOF2/t3uMv3zDXj+Jfmk31TeQg0UAaoh6Rzp57HHlwFJsm8Cd/d75nITg/Uu7WYA9h9X6S70HtWc1dr6+Q5aA8m84vCfBcEGTfacA4bz3BPT5kg0xfUS/pr9kdyX9PYYR+KhGZEREeNxKdn2DA3L3pgNUwiS+tsCzuGh6vP/LvXH4Rj6FBf5FDf44NFV+KoNNuxx2W3960sNNI8VyQ8FMYAz7OTABjHpZx554HQUlvZm5LbQOuqu5MnNOw8fC7Ej0AXsNln0KQUCBjfze+DFFCdBcg7mAAMkduz5E3skXRXj9DX2whq6/7rihhnVBc/JGhoUCB4tItTgGMQKXJuJ5+LxMe869+sWaANuHmv1LyvVCUnpzfEYGkUIAQkYEAjm5doQFL0xrwOJMZf1c+ODL9DJBxj5HpgUa+Y6EcEMkPH/9r4TICTsCZcHgwicBIYTXBYVwnkIaAQUC4/vbdEw3OUOx/KZHMwoI9m3FcnwnByGFZMEh/ldSFwKFdHVBTnuH+ulztnhNQ3V2nsoohrwzWADGPWO9Z9DMOzbBKPYCxYu5b/dVfGOCQP8r+7fOcPnaiTM6T72m8/4FVDl9fh4GdXkyhGXznfOqiwI9z8a1cVb8iEOCgH02vjf4M/F+R0RtPuuOGrvjO71BIofcPtpCcUrWuAlEcMxAAzUGW7zFgm7C7HxkRqoBK3RT/qT0EvpI/J4E4XiZvl/BsbpH98D4GUIHtjoG4vtcAri7jDy6QxTzuMjHy+I6Vzg7O2r8+oK4+YA5soPmwo72Ez5fttNT2T2TiXA/rxFiNt90J0cdwMPFMsr8qPXM6UXthfvMlAuh/tBCRi8dM+UIMobPxB16xAB4wovJ6wHffXMDY0qf9Sj7AcM0iV61N0C4wOFDeNRuL4V+voOI/p6KOLJ/Bo7AkP4Ee2LRkz+ReZxz/oGuqTX/bPPYRGW8WnJi/ug8oYQ/QGSD0v/8eZBDqn5kxP9847v2zDn/eoGBzEtBQ7V98kA9vDlossv3YYhbPzVABsK0RAIFvvlQ9gBDor4FiCfFXkG1QojB+H1CRAF9coAfC667bL9VLV69DXK9xFHAO0l+wLoKhECXjVCylIGUg7GHIIl+udiG0jimulc4g3rZ8fT9+AIpAIEuMjhC+aAXdk6TAeGEIi3CzfU9kULKP3q9FvxwvwJ5lbtnw5wFlXtVtwW41MeDvWVKdQTYOJ08kYS99844a8D2yAs+MQoNQ4I6pQJuBME+fnT5QtEw3kGuPWk4d4E1iSHDP7XHh824Fb2V+No53zgNwZkBlQE2PyiNjkYtvUKBF7b0vGq9KL9qxdWAFz4dRoWHmMebAf33grcCLrQ9bPNRiga86Tytg7HHKH9BAF25LAdyxgvyKgRPB+y0pL9uiLXAG8d5xEvFCsOOl/xGSwFVhi7J8oFQhtY2d/cA+PARjraJANizDbQsM03Ejf4YeHiEA3zLPDT6zX2ytezwGTvEgRkF+7raASV/b0G8hoxCMi2UuVsyqAVhevg11P9GPlYCbvihtsKClgKCB0CGXAcnxY2AMPY6L//LMEjTe6t5nMjShBME7IZkwBKpmAS4QJ028oYQvaF4ebx2xMc/DQbTuB3FLoETtY564j84s4VP69FTvs/3XsPYv0qDbv0QuoBC0clZw4AJwXlQxHA/qIQLtQSCa7DwhDvulULM9jhEuQ5Xfoe7dr27gnGCAjug/K0FG0uIhM10sM2qcMVFyEAXwl9BOETwwRA/WkUfdA4ClYMzhTlGGkP0AQiI835hCFo+lLjYONB3z4RcxE1BXMIGhO7IZsORPYJDwrpOQHA9Sbf1iFrFKXe7yIUCIY93xx3HfnoVxGV7ygFNQVoMYw+cuox5av9+vy496Pu4fxSyFnf3doiEwUj2+fHDdHxORCy+K7msNpBKHPkx8fbEFn9JyDNwgEHTQo986Yc2O46EdQdJhvixzTzhPDgHDY22SE51wjndc8pu9/2saydFxUhIyh+XVEkS+bX9w0S/i3LAcX70w6F/l0Vae10PUH7EBuk4OEMdlWx/YLnlRMivAsRRRZQ9PcA+AOmRK374CQp+m3ohf03FrQI7+wdlXsKxRax0scqX+FiRyf0G8zAQDAJtxTLCprPahz5CgwD/AEe3rvozxmeK/MGxgsc/0z3hNI2+dMEvsMy9vwBHFaIHUjlMCjOHhEAOBn9CKYTQDSr+1D8MvpRE6nJNweZJCwAAxPDKuEs9Dhkv/8NdPVG51EJF+Rs7QYSVvBzD4D8KgZs+SLS/QAY4irnLwPt+HMHzQeR22oFlym4414YYQTc7pf8M7uh4DQqEini43IPKxgt3nwCgdH1KooJqfu3zbE4deH3++P+RdNA7cvpuOYZ+NnWUPO44hncCgR7AuX9u9quAJEPvzg8FyaucveSNpzyhCoA2eLh+ctHGWHU5AR047QUDdzQ8QQRLCMsCMH87fZ36Kooh8fRHn//wBug5bH2yRwk9EMl+ACbEqkBU/JhIiP0NOOX0uj9kO7LC0n8Mdd0ukEdGt0J4UMHsNPK61IShxRn5zwFuQfJxXYLPwf0Jj7dUQd1BR0EzMZuuBkCURUV/LUaCCcc6II8iwiz8dMxKvpUOQwL3EHyCM7h+9t0HE0Iv+aG+bccG/DV6db+VtjS5crYFey94vsYuibfCUj0jRdRCekKySy/4k7HOe4B2Dj0a+mHCfX+sxBo93oWfRkX67LdfQ/17QBCqfXIB87q3DJl6gQjKhnANXT6GNX8E60o1fWq0Fjp5gp/tlQcGgpkHDkyn/kP5Z70HRg26akIVW1x7znaIBA75zwdNfcfMBr2+/dv+OvxKhj88Kslm/Y8+8oT6xN9zwHp3hDWDfYMhQfv/UsHwSaJCnIfiOi45uW3H91v4Ng/iegZ2/PTvA0j2e0JxP/rDyUCYiu7yBD75i4iH8Tf2v1FyYAE1QMSBtgED/8B5E40wuKK6ygdxRQt7pTAjvVwGE+6BPqdCTTS89Fjr58DE+uHIVUSCAp9/PTgnBd5E7bXCPcPDNLnUPyM1/oK9P+4DWz4zdiHDz0YTO8sEb/SHgB2AtXn/iLw8abS3OBg5kPYDPKq+PIOfAWH7wkWHCE0F4H7BfxT1EXq0vNWJroTBeuX6n789QS6/rLefxFOyaHd+wkl67hKPBF+67gP1hcb47HrJu8jRdrhrwWL9cXSr81pDX8+zvrOzU36ByaeJiHu8+oG5R38euY18/oYVwl1ClwrGefx6S350SXtD8gSEfNp3h32Of/+65j1quur8kjiWBtl34AOEvGkAMLiVOI/8DTgZgvbJNjfaAqLIWf1HOa5Lg/gyAqVIDvMq7NdFTsm1fYVDVD3A+iT8jDm2wgK5/84/PXOB3AYNAYqQ7LWNS5j/FwSJAWz7tb2lfpC7pEBjPLMv/zwxf4x7WwWXhAyBD452uXs+E/nCxB1E03q3wwB8HUjdCZEFdQY7Cs16drVlebOAD7zZPpVH+PeYzPL7qLPaiRz3FzBUwK9DZ/3FuzJOuEWEAk79moBp+df5QwD1yJ08B0jp/ryJUMO66gEBZLnZi1y1FzJQfQx5u8X1uRe1UDZ0hUAAyTc0vmsEJcKN/de9GTqUvHH8obpHBMi52z0oBcwBzHu/ggR+ff4exyADrX/Fuix3KkNkw57+W/52CX0z0SvR/2k/3TpjSJb+TfdnxV9/3AALzw+Dkb6zsmR//Ql7OijCfENRCUw6t3//fvY3+ZFj+vQ+yX7WMy/DuH3wxff9jLw7e47K3zWSwTE/akdD/oQ7uvc5hoMI6nioBT5C5Qn/ufm/A34C9ZH3aQ8WB3Z72YYSeuW9UIYc+2/3nrADRZSEXC3GOP35/Lt9iPi5DAtAu82+jP/i/5cNJQXMfmS+NT8EQRKCQ76TO5sGDHqmMle8c7tYAfKCGMCfRp/B88pjvL7wMrsaQfGFaEgB+bG0iAIu+ujEFT32ju9BoEKwPM59YLYlwCs+PAuoffPAy/lXv3y4YcghSzO74A4yUH8FbQp7qijC8nV6iCuCRHtBruoANQgjuz2F3MF9PEb7KD3K/0Rqgru/vd01DLgXQsX9WWnD/8l7s7e9fE3AhXht/Ts/ULBJkFc0rEfFRwx9OjthBI8/ebd/yKn2x0ukwKfGmsUlhQFIwr2UhtTAxHcF9wj9MwG1gJJH0sF4jau28kXzQvYLoMrq72sHrQuQvbcF/8KnecfDLOxttTQ4APulflYHqkbph3NDk2w+Pwr9KEPQf9C7mP3H9El9/Lw1so99xgLiQN7EI9Q1Q2C+/n7LQqr35r4Yw3h9T3pR8YmHOIA2Q/y/pDkHh2sxt0eKs5NDpYb3Oz7s/721/yt9+AOCevJ51MEeeuM6TgCKvXt9FD5dSBk/S3/fyGfGOj8S/9FHx4pef1+/y0hlxHn1IX6PuXnxFvxWsV0G9notPfLBDTaYuwf/BMsDRTS4Kw3TvLvCn/qhgE44fHU+//oJrwFJgI3GWAZsfpgGTcZJgK8Begm+//x1DjhhgF/6u8KTvKsN9LgDRQTLB/8Yuw02ssEtPfZ6HQbWsVb8efEPuWF+ufUlxEtIX7/ef0eKUUfS//o/J8YfyEt/2T9dSBQ+e30KvU4AozpeetTBMnnCevgDq331/z+9vuz3OyWG00OKs7dHqzGHh2Q5PL+2Q/iACYcR8Y96eH1Yw2a+KvfLQr5+4L71Q2PUHsQiQMYCz331sry8CX3H9Fj90LuQf+hDyv0+PxNsM0Oph2pG1gelfkD7tDgttSzsR8Mnef/CtwXQva0Lqweq72DK9guzQvJF67b4jZLBUkf1gLMBiP0F9wR3FMDUhsK9gUjlhRrFJ8akwIdLqfb/yLm3Tz9hBLo7TH0FRyxH1zSJkFCwez9t/QV4TcC9fHO3iXuD/9lpxf1XQsy4HTU/vcK7hGqK/2g9xvs9PFzBfYXjuzUIKgABrsR7a4J6iDJ1aML7qi0KfwVyUGAOM7vhSyHIPLhXv0v5c8DoffwLqz4lwCC2Dn1wPOBCr0G2jtU96MQu+sgCMbSB+ahIMYVaQfK7PvAjvLPKX8HfRpjAsoIYAfO7V7xmMkx6mwYTO4O+koJEQTU/JL4MfmUF1w0i/4z/zb6Au8wLeLk9iPy7ffnGONwt1IRDRZ6wL/ec+1CGJb1SetmGNnvWB2kPEfdC9YN+Ob8/ueUJ/kLoBSp4gwj5hrr3BDuD/qpHcT9SwR81jsr7e4y8N/2wxfh978OWMwl+9D7j+vmRdjf/fvd/zDqRCXxDaMJ7Oj0JZH/zslG+j4OLzxwAH3/nxU33Vv5jSJ06aT/R/1Er/TP2CVv+Xv5kw6pDbHcFui1/4AOexz3+BH5/ggx7jAHoBds9CLnHBOG6cfyUvFk6l70N/eXCqwQ0vkk3AAD0hVA2V7V1uTvFzHmQfRcyXLUZi2S5wQF66hDDvIlp/odI3Tw1yIMA1/lp+dqATv2EAnhFsk6Fuyf970NUwJcwXPcaiSiz8vuYzPj3lUfZPo+884Aleba1TXp7CvUGEQVdCZ1IwHw3wxN6nUTCxBP5+z42uU+OTIEXhBsFjHtxf788My/jPKRAULulfrW9rPuJAVcEmP8NS6y1ipDNAZwGM4H/PX/OArn2wgw5pPyA+hQ9xUN1fY7Jl0Vq7M7zJUgyAoP4LkuHOZn9YshaArY39skZgs04D/wVOLC4qQAEvGADmXfWBtI4qvyquuY9f7rOf8d9mneEfPIEu0P0SUt+fHpGedcK3UKVwn6GDXzeuYd/Abl8+oh7p4mByZN+s7Nzvp/PmkNr83F0ov1rwXa4SNFJu+x6xvj1he4D37rPBG4SiXr+wmh3U7JfxGy3rr+9QR+/JfqBeu6E1Ym0vNF6lPUBfyB+zQXHCEJFofvfAXyDqr4DPJD2GDm3OCm0vDx/iLV53YCHgC/0iwRTO89GIcPzdhs+LgN9P/6CozXUPzS5w8MCPe213kTnBf04H38CApVEochE+ufA2Ov89E00p0JBPpPunAYjvWUwC3uxRQoHYrrwuJONAHkD//YBBIG1QOABEXJ2v3E3yIf5i4Q+7vIYislAusPxP/tCSPZvA3z0xnbiejYP2/gH93lt7jmiOhyH4kKwSZLB+/9hQf2DNYN3hAB6X3P6xPKEzz7m/arJfzwKhjr8W/4+/ca9h8wNfc8HTvnIBA52nHvVW2pCDbpHRie9A/ln/k5MmQcGgpUHH+25gpY6arQ1fWtKPwTGNV0+sA1KhkEI2Xq3DLO6sgHqfUAQvXtfQ+y3RfrfRl6Fmj3sxD1/ocJa+k49AHYOe5Ox7/iySzpClEJjRdI9N8Juib7GL3iFezK2NLlVtjW/tXpG/C3HIb5v+ZNCHQc+9vO4fII3EEMC1Q5KvrTMbPxiwiCPBzoCCe1GhX8URUZAm64zMYdBHUFUQc+3fQmPwd2C8nFuQc8BWfnhxRSEsrrsNNDBwnhGt1BHXS6MddJ/MsLkO7o/ZfSNOMj9GEiU/KpAZsS+ABDJST0yRyx9qDlwBt//9Eeh8eqKHfo7fbB/CwILCMEEdDxDdy0FHTj5ARh1EcZ+cvi4QDZhCqc8pI2cvcmrjwXvziRD64Au9rl/XsCCgQZ3LjiUPPZ1hn4uObL6UDtRdPj/vf7deGxOLfNqfuKCfUqgdF8Ai3eKxhyD+LjEik0KqHgM7uX/NzuYQReGLjjlylqBZHbzQdzB+34LwMq5xji/QAi0mz5KgaA/HMPVvAGEmztF+RRCUbndPX/DWS/9DjhLMMqAxMsAJkkNwepyVETMvpQ/Kv7QDSmE/0IOBkRAM4eMChI5YgdHFb8ATL2vsPTBDb5hNJM9xz/xgvzBp4rzxm76B7e/AEMA/kKahyaz8sKtxQwCcBAG8wn9GJHX+HHKrHSxRZ7Ch2V7+y0CDcWhf1t6Cn64CSt+6ZE+AP3AFD0RRYLESK8lROC57H9dlXhDKTgEBtB+3Q9ae1dFYX+0w7F+8sB/i0NEtf3S+ZRJH5dIygVIZ0Xsazf9im7dc8I5znX2SE2NuAchPA08+LHJhvUHToR2O6mHD3zTQoBB83CJyBZ/dsQx8dz5EEosNqu5rL4ORDR8ccN2+cFIyIT3dpZ31LI4fyj7rj3+vyr/THlcuqMPmgxNQUoBZXvVxH56Hcd3xyGPRQI7yKl3msU1iEm38D1OQEK6QkPRPabDrshGhNzCDUFcxE+EUHfYONS42j6hCHN+SIj0ARpD+UYzhSK6SbXryy66xX2ZN07BOEhofzhBvfhRRjg51oKAD4MAJTZmBKw2J7XivdZ8x4IxePvD7YZTP+bQ7sBb70gDIze4eHvD4UBzwOx5qQjvx5f2eP3hg9L/UMgXufV4xoKitkx7xIZ+Lrj6gf/J76CNEkzSPLcJjG2eQcUL3zIU/+R7P31c//JunABkh6sB67l402w0ZILzus/96XldCZSBAMmdwix+ZTxMwEkyofxrgraK0s3TvavDSQw5AIhyIsnMBQO3MnzC7Vqw4bT7fopEC/mv/92AFHdFvH0Ev0Ff/RS9sfgnigor4f2ZhM8vowBZNj0DS/2e7oJ5JsbFgOIzFwEGvwO/wM05tkDDeMIktrE2/Pokicc3FHaow+vIZIIBPWMDsEhLjuoFrjtIgy+6nv75DMdlEAl3M1G5q3qFBi/Ga+/hAtMLAvHQQVN9hsaFyc3+LYTP+/L9FPwnAbJIQLr9PlcBw0oZA4XDHTjFMWl5672KTZ04vUGRBLSJojynB75EtYI+vEU8yQJvRy13A4Lp8lT9bf8sNwazqbSFA5KIz9B7Ox1+A8E+uk95Avdh/zIBX7zUghdzM8btDR03YHp3/LD/uTaEPY4DKzucC345uni+x5XItABL+iY/nPx8SSV9P/OJxUh1cgvNkjTIFr/WP4n0LE3wP3p7bzEOPC1PpXIKfg47koafhPd9qf4++4HCXA6jeRzBS7NQSQmB8BUJ8UrKqAHfvNsCVT8+gyDAHvtreJrLS3sABN9yDzhbDIc/YLZgdZ81w3yf/YQFcLq/MSY937UTDOr+WT6shLvGbwKxSvvFfvnTPMrGDT3heutJ0IXoQKj4qbb/SaV+AfjU9g+4ZYZJv/++jcGuRUN2WfRnPshCJ/4OCQE+hhDjPZ3CMvCywQlFEkQqRT4CEkmGQ++Co0SXu1sGVLXBuSTEaD4MiW//Qf36AsDE8nYXM8yF8nqcgi3EejretK67CX2rdC0xYLz/eqtx60OifOm2cLUsz4bGuH2oMv80/Uhstc8zT395PNQ94w20gxh/fvdd8o974QaTR0zS6Uo9vReA84HMwMWMBfgoQkG7Fn1/dEhYn3VFegcQ3omJRytDwcEauil7Nb8vNFS+XD3+xM5A9kgtyC8DOHFm0hQOXv63C3YDaYU0Sl6JskSzw7O7wHakgptAeoWT9qz47T6XAcY9pf//tXF25z0s/eoCS3tHBIyLbLwmxfDAKob3Q5b4x0Kd/Qb7CTqIiKw3OkOlwn40skaFf7sGoP2eCyzFH75Uu0/FNgIXgLDC9ckHALBKRwkVvO8Gm/7hO6n95Xnpeve7RbEOhRo7cAIYetP/EIQdP5mCfLyU+Tw7gENTMPk7un/vfi8MpPpVRONA1EUdAUG9OYKMSgQ/OY43wLUAPYPYC5M0bLwI9uY8NwRZ/uaCLs/EOHlIPgGwu3LBfopS/Cx11sDTudG+J8UzvGIGYkiivr0E9MHNvW5+KDVAgYex1gEbCF54O730PCl9sj7o/lbR7wHSuKsM7/snSbj/7Hb2wd19/co4yn2z4ru5uu5VEO5thih52cbJyWD4FsLMOObGpb9FDgY/nz1xgX1FJ/omR1ZEDsf9gdcGELYTev38pMOcA108LsjjrheG0XfRNwE4ff5mAiV8e8xlx8550wix/vvKWIN7PgTz2EBReuuFJRFkADPHarwGw5kFezN7SNzELztLfCPCmT9V/PTvjMC9ftaBqcoYMmTJS8TvRF4+23joQujCSbitN4Z6i0Tag5IHOTpUdb2F6oqMv25Bw39JArn5o76JvIbGkUMggSo+wfsFvvv9WoV0Tk642ovTw77Bu/mvBa7A/D9lwHOBA0ivyPq9of4z/sN/Y3eYAxb+eYDC8kdHP7nUOeB+jrY3AalHUv+S/zXL984VfBtycUwgfvVJJLPq+eRVkgTzgMk9LMdLw2NIDst0wZf4RzgC+sM5UnqIg6jChPv5yPELynPiB7m0Qz4+QtLBDT/ks+Q6/kDmCgvA27YJeYt9zjYbywO7tXszuyM+GAa1OuPCcX4nvDVJmPjvuGm9dTnE/iLJEThsxbe7Unq4vShG5kNRhDg+KQQyORR+XA74Mvq1YAR9PmyBUQKUBIyPngcEy3TD2Lohy/wMpcMOeXN7XwN6uZHELYEGxOh+cP4RthKCGoDMu3H8iD3hvvJ0ZUN/PCyHe8cshf74n4aoNJpB0bemQaJ+PjuWOOU+MGnewSZIrTvWPIR5JP8zNE89zYf0ie7HGAEUxD7qwPhmRp01d7iLQJ0+YPVjtTs8eoat9jO6wsnWvvK8gz8S7ve/XQOQe2/KuP7qt8RGLgQGP122injHdis2ooXaRaQNt/sesWI6aDjd/AY+X3suepUDEnhQQl7JJD2FBRk5/ns88WrEifsd8E1HxIEtO/B7xLpjPsP3pwQze9/KbQ+1eGFtif5JeSrHLS19fot5iYYVuESEt4hOvemBvj+ReGMBvAaxQfF6CzyqduwGqYRFvns3mvSaf4FOjLxhvUaKXT2nh3uzrAmIvsuJWQeaEM9TOQnjfti+rkaRNSc8SHlyfqTJKnjrQ7371T+LwT99JInxhFn5iMMDuQXKZ/fwyIESQnzQsw2EpjPAy0JASHv1xap6Z8iARnlEywY4CGrCfYdnESGD88AH/LfG98FEgc1I7Xu1Q8SyqDQtRAE2Zz5MeiaD77TnetiTRrbvfIuG6gGWTIUJxjryx4SJEMuEiTLHhjrFCdZMqgGLhu98hrbYk2d677Tmg8x6Jz5BNm1EKDQEsrVD7XuNSMSB98F3xsf8s8Ahg+cRPYdqwngISwY5RMBGZ8iqenXFiHvCQEDLZjPNhJCzAnzBEnDIp/fFykO5CMMZ+bGEZIn/fQvBFT+9++tDqnjkyTJ+iHlnPFE1LkaYvqN++QnPUxoQ2QeLiUi+7Am7s6eHXT2GimG9TLxBTpp/mvS7N4W+aYRsBqp2yzyxejFB/AajAZF4fj+pgY6994hEhJW4SYYLeb1+rS1qxwl5Cf5hbbV4bQ+fynN75wQD96M+xLpwe+07xIENR93wSfsqxLzxfnsZOcUFJD2eyRBCUnhVAy56n3sGPl38KDjiOl6xd/skDZpFooXrNod2CnjdtoY/bgQERiq3+P7vypB7XQO3v1Luwz8yvJa+wsnzuu32Ooa7PGO1IPVdPktAt7idNWZGgPh+6tTEGAEuxzSJzYfPPfM0ZP8EeRY8rTvmSJ7BMGnlPhY4/juifiZBkbeaQeg0n4a++KyF+8csh388JUNydGG+yD3x/Iy7WoDSghG2MP4ofkbE7YERxDq5nwNze055ZcM8DKHL2Lo0w8TLXgcMj5QEkQKsgX0+YAR6tXgy3A7UfnI5KQQ4PhGEJkNoRvi9Enq3u2zFkThiyQT+NTnpvW+4WPj1Sae8MX4jwnU62AajPjO7NXsDu5vLDjYLfcl5m7YLwOYKPkDkOuSzzT/SwT5Cwz45tGIHinPxC/nIxPvowoiDknqDOUL6xzgX+HTBjstjSAvDbMdJPTOA0gTkVar55LP1SSB+8UwbclV8N841y9L/Ev+pR3cBjrYgfpQ5/7nHRwLyeYDW/lgDI3eDf3P+4f46va/Iw0izgSXAfD9uwO8Fu/m+wZPDmovOuPROWoV7/UW+wfsqPuCBEUMGxom8o765+YkCg39uQcy/aoq9hdR1uTpSBxqDi0TGeq03ibiowmhC23jePu9ES8TkyVgyacoWgb1+zMC075X82T9jwot8LztcxDtI+zNZBUbDqrwzx2QAJRFrhRF62EBE8/s+GIN7ynH+0wiOeeXH+8xlfGYCPf5BOFE3EXfXhuOuLsjdPBwDZMO9/JN60LYXBj2BzsfWRCZHZ/o9RTGBXz1GP4UOJb9mxow41sLg+AnJWcboee2GEO5uVTm64ru9s/jKfcodffbB7Hb4/+dJr/srDNK4rwHW0ej+cj7pfbQ8O73eeBsIVgEHscCBqDVufg29dMH9BOK+okiiBnO8Z8URvhO51sDsddL8PopywXC7fgG5SAQ4bs/mghn+9wRmPAj27LwTNFgLvYP1ADfAuY4EPwxKOYKBvR0BVEUjQNVE5PpvDK9+On/5O5MwwEN8O5T5PLyZgl0/kIQT/xh68AIaO06FBbE3u2l65Xnp/eE7m/7vBpW8xwkwSkcAtckwwteAtgIPxRS7X75sxR4LIP27BoV/ska+NKXCekOsNwiIiTqG+x39B0KW+PdDqobwwCbF7LwMi0cEi3tqAmz95z0xdv+1Zf/GPZcB7T6s+NP2uoWbQGSCgHazu/PDskSeibRKaYU2A3cLXv6UDmbSOHFvAy3INkgOQP7E3D3Uvm80db8pexq6AcErQ8lHHomHEMV6H3VIWL90Vn1BuyhCRfgFjAzA84HXgP29KUoM0tNHYQaPe93yvvdYf3SDIw2UPfk8z39PM2y1/Uh/NOgy+H2GxqzPsLUptmJ860Orcf96oLztMWt0CX2uux60ujrtxFyCMnqMhdcz8nYAxPoCwf3v/0yJaD4kxEG5FLXbBle7Y0SvgoZD0km+AipFEkQJRTLBMvCdwiM9hhDBPo4JJ/4IQic+2fRDdm5FTcG/vom/5YZPuFT2Afjlfj9Jqbbo+KhAkIXrSeF6zT3KxhM8/vn7xXFK7wK7xmyEmT6q/lMM37UmPf8xMLqEBV/9g3yfNeB1oLZHP1sMjzhfcgAEy3say2t4nvtgwD6DFT8bAl+86AHKyonxcBUJgdBJC7NcwWN5HA6Bwn77qf43fZ+E0oaOO4p+JXItT448LzE6e3A/bE3J9BY/lr/0yA2SMgvIdUnFf/OlfTxJHPxmP4v6NABVyL7Huni+OZwLazuOAwQ9uTaw/7f8oHpdN20NM8bXcxSCH7zyAWH/AvdPeT66Q8Edfjs7D9BSiMUDqbSGs6w3Lf8U/WnyQ4Ltdy9HCQJFPP68dYI+RKcHojy0iZEEvUGdOIpNq72pecUxXTjFwxkDg0oXAf0+QLrySGcBlPwy/Q/77YTN/gXJxsaTfZBBQvHTCyEC6+/vxkUGK3qRubczUAlHZTkM3v7vuoiDLjtqBYuO8EhjA4E9ZIIryGjD1HaHNySJ/PoxNuS2uMIAw3m2QM0Dv8a/FwEiMwWA5sbCeR7ui/29A1k2IwBPL5mE4f2KK+eKMfgUvZ/9P0F9BIW8VHddgC//y/mKRDt+obTasMLtcnzDtwwFIsnIcjkAiQwrw1O9ks32iuuCofxJMozAZTxsfl3CAMmUgR0JqXlP/fO65ILsNHjTa7lrAeSHnABybpz//31kexT/3zIFC95BzG23CZI8kkzgjQnvgf/4+r4uhIZMe+K2RoK1eNe50MgS/2GD+P3X9m/HqQjsebPA4UB7w/h4YzeIAxvvbsBm0NM/7YZ7w/F4x4IWfOK957XsNiYEpTZDAAAPloK4OdFGPfh4Qah/OEhOwRk3RX2uuuvLCbXjevREfQACwUH2M8o4OfZ8eQCevSuCtjZadJWBgX59TDGQbP5P+ke9KA4PeZp+2slnDEaA23idQRPE2cgJQfjCHj5eRz/Eajz4cyoJYAVhOv/2fzYAuq2DI3qARUL2afyu9gQ/Jotie7K9x4fqRhd6EMKMfp0+UcLtxcFH+/vhxXQMPwdgTCi3T0mYu++BjtA/f1rBRvryzXo9d3xuxKXATAcQSVNH8HmF9+b8FNFrCvW7/v8TP8M+dr4KgboB0rVYA0c/6zUmxC/2sMcnAryCv7pl9gvGYPYXQMY+0QBePoP/VcO+sXp72rkZtv++5s8sPbL5bQn3eN0vo0ayKy8/qb/K/vN6S//rik73ZbiWTpNLvEahfgP6xX3BfMy6XT0FR9YDzIhhvew2lGubgMVDpH5mAjZQCkLLfGx/YkgZhBsHOThoQuF8ZIKwAIKCZwSUdOTJFvOOjzSB70Whw9j6EQN6PoY7/TNOO0UGs0Q7QTOF/DsHPmXAVcqFluN+87H6DHbRvDwcAKx6A/LNOoc/xrmvOnpCBf7Sg53/4X9qxkJATnmDPfwC7kTGtmuHLgOQxzfEeYKcAQMMRsU+SUA9fzu2+136wb/0Ok5EXj6A9e6AMnhVgF94fAEsR8RB5tbItmH+wviVPDX3ojpjPMR8WP7PN+U4LgA2yf85UvrmAlWHdHYSugJMhL+tiL4A0g8PuKx7lrvwNCf9pEt6uHS2Q8Ruzaq8QfafRwd/4QDdN9MDw/Lj/gZ7WUUrBnn3HPyYf8uJOjiFTHz7E0Y+jvtHR3K0RwrDp8l2ScoDoEWsfZnGD4O48H1QCL6GvvMAfDJ2edk0EcfIdXvIs7u+fwZ+/3iAsQrCIsxN+0T03M0jSTk/jwlqN1ftiEASeNlBw4agOeIMN1KffdBE+0L7tVu2UHdzt2nLXL3Dvhh7gHshCClHVcwmyRlJDbjaNiu9I4ANySs4Krv1/ozHcvx1hPqHDn7sQNqDrDZmOaVAKsQwB7r+ifnUeEPD4Tq5shaAkjfbw9WDfXnqe7qzhgNdv+SBpUB/ur28x4CYyIqDCJMhycRDN8DZf038XLi1AQO+XT6mQfFEfsrkh2c6K0SzMY21fYBXUB/D6wegtx2HyEy5PrkAXb2uC3CEg78Y/Y3DA/soh3n38YYVQ35DgvFcAQr673fRPox9g4Uu+sZ/bIP3eb415gRrw4qB1DwFyLG05nIHwgfwL3l6eOg9iPgtRGz8ggtEQLe6e0oFSmTIF4P5xRy5akk+Ptt6bX1Owoo/BcoxBJuBPD8URTgOikXCuN5Ba/1x/b1BOrMDwoALzUPAx2y9vsUvuOm6fkBXB6T+jLzdUEl6nodn9t+2A86wQGJ4sD77w6I4uTj7uaLB/kQ5g+bCLHv2PHn5IYFBPE17/j1FeYQ950jUuZf5Qj1//o093HAnQWg+I0MufrS7FfsZylx7Rodjfvv4trIUhzZErcT7OzECksMETQxurYiROhn53L3ageR2/UWWLzTGzDxUyMmIu7cs9lPSBsoBy1ZFUkX3TlkB/QTUv3QwZQCAQlv3on6zjGC6c76h/zU3f77Zg69AfADhEHbEuoSuiHUA3MPCvdT8RIAOwKO4pPgexR9C+vhIuU/CpIawOG6B0skpt9tCewVl81j/67Fj+pSCPbj2CMF8LgASTtZCBbdHBcY4wcJQa2LGy7WchSYBrkVCwbZylQZutW86I7vKfJ+MasnBiUr/BgdugdLBskFyRAQ0bXmFvl91aYYON1bKq/7P/iiA63+pQ/SGM0V9Rmm49vZPPgsx1HnKdCv45b2+x7wLkYTHRi2AlsQoAYC964CZPHXJVQJPhDND+Tg3h0m01MVwgZI5tTS3slr86vhx93YAWoE8BGCF8nYBPtOw3j/hieY8XP94rc7EXk8GhEWs2QjUQTR8qob8hnBKgfwA+dmzNLx8O7H50QCueFaDhAgFt8M4mP2X+Zi+gEUjPgK/joTL/IZDboIfepi1pzjxvD6JPEG5fXyy/vFzgEn+a7mLwD0+5Xp8wDgD2XwUA0RPrf1WBjz7aU5dyO0AD62Fi3p+aIhRhnpBDAIDxYJDqDTQSudKzPg8AOkvO4mwTWN5I/82Ryo9FkKofZm8CYJzBqSGLIOAh2a5v7pd/1OJ3w2tun85F7sqzQV8dMIR+fasF0FkCNvD8XvchDQ/Pf+9wUqHX7TaPCAIc3eGhNQ7JffIC8M64gB/OM3Cc74OPve4dTzfhQ404YqMuLn+dXx7wEWPMT2yLoVBVWx1gws5WHq1OiH9kAQSPcQL1IvN/n1+QfsrfKpC7YFJvkn/WfyRO2I7Xj2VPSF/q7DWOLJ8xXLwxYbOtvq+BlIM/TzmuVV+MgiiRES7hn2krly2mgEkLPU4JH4nQ+H/4chT/wPECnrOfY8BCkdWgSEABgM8AHb6mMHzvUBAT7o5i6hDg7ch9h6IF376yaD7NjoY+Edx44VY/L9x7TcCw5aFc8NiPT8FDAcIv6VECQBnycq6E/roBLt/ZcMvy/uNPw01STbCCTQsTVN+MK8jU+O9BYDzPJYNaMOruD76X8hMvbU+Av3PBmq8GMBugDz8vcVMuQKGzUCR+X86UvPhghHG+seVQgD/3fBL/mEztLr8wgkCz/noftcvJzvWRnmGqb0bg6h7N/ycvx/00fzMQFm/Nz3Xh9OB2jJbSiZ3Zn1+P4GOF32GANPsRT+YxNXHUr5guwO05j9GSnv+hkpmP0O04LsSvlXHWMTFP5PsRgDXfYGOPj+mfWZ3W0oaMlOB14f3Pdm/DEBR/N/03L83/Kh7G4OpvTmGlkZnO9cvKH7P+ckC/MI0uuEzi/5d8ED/1UI6x5HG4YIS8/86UflNQIKGzLk9xXz8roAYwGq8DwZC/fU+DL2fyH76a7gow5YNczyFgOO9I1PwrxN+LE1JNDbCNUk/DTuNL8vlwzt/aAST+sq6J8nJAGVECL+MBz8FIj0zw1aFQsOtNz9x2PyjhUdx2Ph2OiD7OsmXft6IIfYDtyhDuYuPugBAc71Ywfb6vABGAyEAFoEKR08BDn2KesPEE/8hyGH/50PkfjU4JCzaARy2pK5GfYS7okRyCJV+Jrl9PNIM/gZ2+obOsMWFcvJ81jirsOF/lT0ePaI7UTtZ/In/Sb5tgWpC63yB+z1+Tf5Ui8QL0j3QBCH9tToYeos5dYMVbEVBci6xPYWPO8B1fHn+TLihio4034U1PPe4Tj7zvg3CfzjiAEM6yAvl99Q7BoTzd6AIWjwftMqHfcF9/7Q/HIQxe9vD5AjXQXasEfn0wgV8as0Xuz85LbpfDZOJ3f9/uma5gIdsg6SGMwaJglm8KH2WQqo9Nkcj/yN5ME17iakvPADM+CdK0EroNMJDg8WMAjpBEYZoiHp+RYtPra0AHcjpTnz7VgYt/URPlANZfDgD/MAlen0+y8AruYn+c4B+8Xyy+X18Qb6JMbwnONi1n3quggZDS/yOhMK/oz4ARRi+l/mY/YM4hbfECBaDrnhRALH5/Du0vFmzAPnB/DBKvIZqhvR8lEEZCMWsxoReTw7EeK3c/2Y8YYneP9OwwT7ydiCF/ARagTYAcfdq+Fr897J1NJI5sIGUxUm094d5ODNDz4QVAnXJWTxrgIC96AGWxC2Ah0YRhPwLvselvav4ynQUecsxzz429mm4/UZzRXSGKUPrf6iAz/4r/tbKjjdphh91Rb5teYQ0ckQyQVLBroHGB0r/AYlqyd+MSnyju+86LrVVBnZygsGuRWYBnIULtaLG0GtBwkY4xwXFt1ZCEk7uAAF8Ngj9uNSCI/qrsVj/5fN7BVtCabfSyS6B8Dhkho/CiLl6+F9C3sUk+CO4jsCEgBT8Qr3cw/UA7oh6hLbEoRB8AO9AWYO/vvU3Yf8zvqC6c4xifpv3gEJlALQwVL99BNkB905SRdZFQctGyhPSLPZ7twmIlMjMPHTG1i89RaR22oHcvdn50TotiIxuhE0SwzECuzstxPZElIc2sjv4o37Gh1x7WcpV+zS7Ln6jQyg+J0FccA09//6CPVf5VLmnSMQ9xXm+PU17wTxhgXn5Njxse+bCOYP+RCLB+7m5OOI4u8OwPuJ4sEBDzp+2J/beh0l6nVBMvOT+lwe+QGm6b7j+xSy9gMdNQ8ALw8K6sz1BMf2r/V5BQrjKRfgOlEU8PxuBMQSFygo/DsKtfVt6fj7qSRy5ecUXg+TIBUp7Sje6RECCC2z8rURI+Cg9unjveUfwB8ImcjG0xciUPAqB68OmBH4193msg8Z/bvrDhQx9kT6vd8r63AEC8X5DlUNxhjn36IdD+w3DGP2DvzCErgtdvbkAeT6ITJ2H4LcrB5/D11A9gE21czGrRKc6JId+yvFEZkHdPoO+dQEcuI38WX93wMRDIcnIkwqDGMiHgL28/7qlQGSBnb/GA3qzqnu9edWDW8PSN9aAubIhOoPD1HhJ+fr+sAeqxCVAJjmsNlqDrEDOfvqHNYTy/EzHdf6qu+s4DckjgCu9GjYNuNlJJskVzClHYQgAexh7g74cvenLc7dQd1u2e7V7QtBE3333UqIMIDnDhplB0njIQBftqjdPCXk/o0kczQT0zftizErCALE/eIZ+/n8zu7vIiHVRx9k0Nnn8MnMARr7Ivr1QOPBPg5nGLH2gRYoDtknnyUrDtEcHcrtHfo7TRjz7BUx6OIuJGH/c/Ln3KwZZRQZ7Y/4D8tMD3TfhAMd/30cB9qq8bs2DxHS2erhkS2f9sDQWu+x7j7iSDz4A7YiEv4JMkro0dhWHZgJS+v85dsnuACU4DzfY/sR8YzziOnX3lTwC+KH+yLZm1sRB7Ef8AR94VYByeG6AAPXePo5EdDpBv9369vt/O4A9fklGxQMMXAE5grfEUMcuA6uHBrZuRPwCwz3OeYJAasZhf13/0oOF/vpCLzpGuYc/zTqD8ux6HAC8PDbRugxzseN+xZbVyqXARz58OzOF+0EzRAUGjjt9M0Y7+j6RA1j6IcPvRbSBzo8W86TJFHTnBIKCcACkgqF8aEL5OFsHGYQiSCx/S3xKQvZQJgIkfkVDm4DUa6w2ob3MiFYDxUfdPQy6QXzFfcP64X48RpNLlk6luI73a4pL//N6Sv7pv+8/sisjRp0vt3jtCfL5bD2mzz++2bbauTp7/rFVw4P/Xj6RAEY+10Dg9gvGZfY/unyCpwKwxy/2psQrNQc/2ANStXoByoG2vgM+Uz/+/zW76wrU0Wb8BffweZNH0ElMByXAbsS3fHo9cs1G+trBf39O0C+BmLvPSai3YEw/B3QMIcV7+8FH7cXRwt0+TH6Qwpd6KkYHh/K94numi0Q/LvYp/IL2QEVjeq2DALq/Nj/2YTrgBWoJeHMqPP/EXkcePnjCCUHZyBPE3UEbeIaA5wxayVp+z3moDge9D/ps/nGQfUwBflWBmnS2NmuCnr05ALZ8eDnzygH2AsF9ADREbNWawQb/uEnUiYkDoYJYuRQ+H4Rmvig+9vsK8mA7vka1Nzg9zcU1e0i91Elf+xY53u7afa88+ILpgYf2UsSsgBj/kgethddAiglbQst3kAbfxzh8JvhxP2g46Euq+yPBG8JxsdgDU4Y/TYm5SAhkv+i9//yB0I9Ag/+UjxV7RcY+wBy0/n6LQbiCd8I1fY0wLMjOP7AAUTjvhuK7ucXufE+8jXlyNoJ5nLppRAXAeQhx/4X6SzYWQSv3+ARQup89lzk5gs6/ZH8cfd4EloBAvIeL2wN/vzZ54MMJ+DU4zAmsODzBurZuveYB0MP8weN8boTmvxL4MMQ6BIdGsXnMB5QPOryxfemAMgvM8+07dnxfMlLBZFKoSjbA2LjueOp94TmHfnMCKQKQQCZHNAfxwKyoLLaHRZm+KL87e8I/6bcm/rPFF0QzhKMDoXk8O025fgYlRIz2tEIPQu769kEz/S/zZMg1hMlJMfWStk4+RCzytbuBvrcqDym9+wBjx0wI2Dz9vLUPF0q3+tC6EkdvNX83McI8QmsJpjmLeVbFasEg+x/7bY0w/aFK1gLksSoCfUZ5w5NPeEQZRys/2TOe/hdMmr4T7H8GEXhHCMp6PUM7ucA/0bw47/oOEvbdB1cAhjsEP/Q5Vjt2gElD1cjcQsi5YnSOfVQ+hIQ1/4HIUwm1PT+M7vi1RUuGsvvHN7w8zSzOPoZJN4Oow8aGagcxgZB22ARlfgM91j/BuYqAbIX0f0jBQkM5SnPBFccpRQBTvUWLOCL1uwuz9FU5xvdyesg+aH3DNjKJ1rrVyVF6JHi8RL+GkDpdCJR7+UPpcltOFEA0wZ5Hqf45PjrtIv270Y0QhwIm+zK67UHNPyiFs8VYzAg8xj5DRaJN4kp0zQh/l7sFBD3CzgYfr9D1CDuAATAIkoG9AH6AE38xAG7HIISqfG49cwrzOuD+EHQy//q6Jfg8/7GFBDoARqh5nfv6e9lE9kOTghLQnb4Khnt83gfAc+q1WvPTN7c/fgFCRwI8Ur5EwxiGw7vWehz5YrgsBwL2S31SOvNAb4YyfFyAS0jk9U7MPMIy/t4BoTQKfOV+DMmPQ+HSWr7fOxA0zcX1Rbc+J8PrzTC7YoBSxE6ys4tiwRJtAz7qglt9M3vPfTqCoICXvt0HnT6NvktBrvyctv5923v/tlqBU/iNd3K138Trg7y46r7BBnbFABB1BwHEgnGQwq2+BInmdDzTTJSy/GF25oToOmZAsQmahCX6ApFTiSwBzvs6+n0Jlf8sCk84QvYCtdnCZ4YluclCP31UxkTCEv9WOXiDqMNAuhSRAIZAhDH92ADyFRbCNb/itd+F5r5tOVdByMXUBfr81jVG+NRKbAaPQy570ZHGxhQ6uoHGCMQ/CQU0jWL3rYGEwtY9i/dgtx/+5L8fQ9325/u6veY9tf7wuOKI/a+1SUCsyk8adPaGInfXx+c+7ge4SU483vu1txjJ/0ShxKM3u7yfBY0DGneLRykBGMtM1djIz368Rj/5borPyjJ4hEZHRIV5tf03PZRFJgDtANY4D71EyL97iD4EuVo014JTQTWEEcY2wFZDP35hvQfODwOKPv0/ggbq8ykIuL8AghoGK0F/QqdB5HpgQuoFhP9BPTrAInWhuLS8BX46bciDHkjBP+/JQ8xoM/oG3Up6BHs01oP8vhO/OIBtPWUKiYTKi00H9zrrR2kOl8F+vlw51kjjPjdx9oEsShtN07cGAxsCdT3UdJeIVUJs/tUvwNMeQQE++cfCwIaJwMdCCMSFXT/NRoBHAX3QvZPDzHb2SapIEnYoQXT/pkLgyZixdzN3+zAAVv+0yuPBOsFUB4W98AghQ7uKBAcafd41N8BaflSNvjKtMjmBfPK1+lWLJsKshrtB6vRjvtIEvEB9+ek2oXpgeZjIrkiYAs1A7ELKvGxEuUbeRw5Q5AE5P5H6/sAqPRn/zcifc5iEPf6k/J88+fx9hPLCF8vaNFMC4LYCwvN0XoJBi+G+w/gYPqn8QIP7PVFF2rlIS29/23xx/he/PneOvZU1PbFMQeT7L3T9vlUKk4BROrb73C90tqa6c8Fa+GmD58Cchgtv1TQ8OvM58UJGrCx7U3wHcJkD+fH7etw9IvY1Qdl73ochPqiO0Ma5gCPAhQYO/5oGJvRXQN/1YXmYBT4ypDU3t5D+BkGWelCMbDvdBNzEdLHMCfdHf8XawLk8wQXYwvq7rDScNv69gfq7whnOLjsXgaL+u74IiTU6uYBNQabADIeqerG3jo5ch/8AKIRGAJQ2cHfRbiMA2vkni1uRngPtABG8TwkAQCOFQbKsuDJ6mMPrgr8Rcj0rPac3KP73PGoQI4J1/bm9xYEQxwT7C8mNvjHCbb49gDi2boFdiVMCo74c0RgD8ny/uL46lPvbCTz/5v9/RZoCc8SoeqaKzrjSBnvBlfxkrudIeg8+RC23Qrfm/fY/nMe0iqHHK8WKhQlAYXV4QFG98/yRvUB00sw8gFKAbLfqBdYDxYna/yuArbf2f7XDlMc2dEJFZkQrtPqAt4OW//SziQSGxcz34z0rePbLh34gxIcHCPssuvX9t/0/+Bh0RUF2/+2DNsq/eP786IY+chD+Ijm+BEqHNoJkcq+HjvMfOZ8J9gCexjn/Pnz6Cdh4jMgd/VDIIIoWQhm5kRBWihlMsToeb9jIWXzxutWBDAYBgBTAVQPv/cX/W0D4f1jEfsIX8zh0cYTYw7GE+HRX8z7CGMR4f1tAxf9v/dUD1MBBgAwGFYExutl82Mheb/E6GUyWihEQWbmWQiCKEMgd/UzIGHi6Cf58+f8exjYAnwnfOY7zL4ekcraCSoc+BGI5kP4+ciiGPvz/ePbKrYM2/8VBWHR/+Df9Nf2susj7BwcgxId+NsureOM9DPfGxckEtLOW//eDuoCrtOZEAkV2dFTHNcO2f62364Ca/wWJ1gPqBey30oB8gFLMAHTRvXP8kb34QGF1SUBKhSvFocc0ipzHtj+m/cK37bd+RDoPJ0hkrtX8e8GSBk645oroerPEmgJ/Rab/fP/bCRT7/jq/uLJ8mAPc0SO+EwKdiW6BeLZ9gC2+McJNvgvJhPsQxwWBOb31/aOCahA3PGj+5zcrPbI9PxFrgpjD8nqsuAGyo4VAQA8JEbxtAB4D25Gni1r5IwDRbjB31DZGAKiEfwAch86OcbeqeoyHpsANQbmAdTqIiTu+Iv6Xga47Gc47wgH6vr2cNuw0uruYwsEF+TzawL/F90dMCfSx3MRdBOw70IxWekZBkP43t6Q1PjKYBSF5n/VXQOb0WgYO/4UGI8C5gBDGqI7hPp6HGXv1QeL2HD07evnx2QPHcJN8LHtGrDFCczn8OtU0C2/chifAqYPa+HPBZrp0tpwvdvvROpOAVQq9vm905PsMQf2xVTUOvb53l78x/ht8b3/IS1q5UUX7PUCD6fxYPoP4Ib7Bi96Cc3RCwuC2EwLaNFfL8sI9hPn8Xzzk/L3+mIQfc43Imf/qPT7AEfr5P6QBDlDeRzlG7ESKvGxCzUDYAu5ImMigeaF6aTa9+fxAUgSjvur0e0HshqbClYs1+nzyuYFtMj4ylI2afnfAXjUafcQHO4ohQ7AIBb3UB7rBY8E0ytb/sAB3+zczWLFgyaZC9P+oQVJ2Kkg2SYx208PQvYF9wEcNRp0/xIVCCMDHRonCwLnHwT7eQQDTFS/s/tVCV4hUdLU92wJGAxO3G03sSjaBN3HjPhZI3Dn+vlfBaQ6rR3c6zQfKi0mE5QqtPXiAU788vhaD+zT6BF1KegboM8PMb8lBP95IyIM6bcV+NLwhuKJ1usABPQT/agWgQuR6Z0H/QqtBWgYAgji/KQiq8wIG/T+KPs8Dh84hvT9+VkM2wFHGNYQTQReCWjTEuUg+P3uEyI+9VjgtAOYA1EU3PbX9BXmHRIRGcniPyi6K//l8Rg9+mMjM1djLaQELRxp3jQMfBbu8ozehxL9EmMn1tx77jjz4SW4Hpz7Xx+J39oYadMpPAKz1SX2voojwuPX+5j26vef7nfbfQ+S/H/7gtwv3Vj2Ewu2Bove0jUkFBD8GCPqB1DqGxhGR7nvPQywGlEpG+NY1evzUBcjF10HtOWa+X4XitfW/1sIyFRgA8f3AhACGVJEAuijDeIOWOVL/RMIUxn99SUIlueeGGcJCtcL2DzhsClX/PQm6+k77LAHTiQKRZfoahDEJpkCoOmaE4Xby/EyUvNNmdASJ7b4QwoJxgcS1BwAQdsUBBmq+/Ljrg5/E8rXNd1P4moF/tlt7/n3ctu78i0GNvl0+nQeXvuCAuoKPfTN7230qgkM+0m0iwTOLTrKSxGKAcLtrzSfD9z41RY3F0DTfOxq+4dJPQ8zJpX4KfOE0HgGy/vzCDswk9UtI3IByfG+GM0BSOst9QvZsByK4HPlWegO72IbEwxK+QjxCRz4Bdz9TN5rz6rVAc94H+3zKhl2+EtCTgjZDmUT6e9376HmARoQ6MYU8/6X4Oroy/9B0IP4zOvMK7j1qfGCErscxAFN/PoA9AFKBsAiAAQg7kPUfr84GPcLFBBe7CH+0zSJKYk3DRYY+SDzYzDPFaIWNPy1B8rrm+wcCDRC70aL9uu05Pin+Hke0wZRAG04pcnlD1HvdCJA6f4a8RKR4kXoVyVa68onDNih9yD5yesb3VTnz9HsLovWLOD1FgFOpRRXHM8E5SkJDCMF0f2yFyoBBuZY/wz3lfhgEUHbxgaoHBoZow/eDhkkOPo0s/DzHN7L7y4a1RW74v4z1PRMJgch1/4SEFD6OfWJ0iLlcQtXIyUP2gFY7dDlEP8Y7FwCdB1L2+g4479G8AD/7uf1DCnoHCNF4fwYT7Fq+F0ye/hkzqz/ZRzhEE095w71GagJksRYC4Urw/a2NH/tg+yrBFsVLeWY5qwm8QnHCPzcvNVJHULo3+tdKtQ89vJg8zAjjx3sAab3qDz63O4GytYQszj5StnH1iUk1hOTIL/Nz/TZBLvrPQvRCDPalRL4GDbl8O2F5IwOzhJdEM8Um/qm3Aj/7e+i/Gb4HRay2rKgxwLQH5kcQQCkCswIHfmE5qn3ueNi49sDoSiRSksFfMnZ8bTtM8/IL6YAxffq8lA8MB7F5x0a6BLDEEvgmvy6E43x8wdDD5gHuvfq2fMGsOAwJtTjJ+CDDNnn/vxsDR4vAvJaAXgScfeR/Dr95gtc5Hz2QurgEa/fWQQs2Bfpx/7kIRcBpRBy6QnmyNo15T7yufHnF4ruvhtE48ABOP6zIzTA1fbfCOIJLQb5+nLT+wAXGFXtUjwP/j0CB0L/8qL3kv8gISbl/TZOGGANxsdvCY8Eq+yhLqDjxP2b4eHwfxxAGy3ebQsoJV0CthdIHmP+sgBLEh/ZpgbiC7zzafZ7u1jnf+xRJSL31e03FOD31Nz5GoDuK8nb7KD7mvh+EVD4YuSGCSQOUibhJxv+awRrBZTWcfrw/BMnTQTlHxQoLwPvK2j1otJIw9oNdQXqNsIqONh5ucbYWgcQNHMY7h633+n+Tfw928bh0v8s17PvwBbS7e/anfNL6AoG6uue/z/+4OrW8dEuDdO9CdQOBe4mAJfoy9vh94kxSvbLHerbgdRPAi46VDa4zF3aB88YF/L4VNxJzh0GW9dZz14V7PRY8/oCAemfBSMGttk1BOz9XSP0tBD1H+aEGa/pceyEDNOd2fFDI4vbQA3oNZLyPf69IzLqsuQT7GspTSbxDU7+8iBl4BoIte+GD8UM2AC59xbVswGsIKgF6vwRx8wN08PXECAkzsuUrnfux/FG7UUBiTAz44IgRxbl/qH/lxdUAJr4XfRNJ4zv0yH3AOPnfgjcO2fz/gMd+/8RX/rQ7lfDSuZ69mEWIN1Rwk/x1OwMAswGLhYW1LnI3RNSE5rumxWjFoU0fuSi72f6BCyWFRELeBFH4f0hVPNB8J8+hBij937zzgniB+cJEQj2QU/6miQfGyz2yC4CDxHs4TaM+IcjqQ0ZMeDl7CX67PQA9/331aoFpBmz4tnqxw/VHZ3qqfyB+jvyyyL8+Nj/SiIk+3T9zuLCNcG1o+qv0Ucm7jNy5wgkHAcF4AW2FyjdN7bW2+dTEYkSQNgkJkNBCvyv+6hC+QJ6+vD7JBU58g4OyCCU8ZXsPSXdOBAvgvqd+IzrX/MX/DjUsRWE+SAz2QXOGzTtChWP8FztuORs5F3Tg+n39KwYhAcbDHEJ8QRyKW4LwgX97MEWxO9lHvTQ5wlsCRr5lwyMCvkKegdz5mnXO+ZDGvQwBtCC1WEHhQaWOV3+0N888dnXZ+1hzkzgmtez2uIw6OayF3YhkRgqAHQT6BGL9POzfggEGBzZ77krEvG6+f6JvW7ifuu9Nhr+Pyt18O8pfhfx1QLwiyLq+oIgnB/Xw5QiVcxB5NnzKRSbPbgRLxAuDXoCbzKM0g0MExBf+V4I1jQXAOU+Tg/lDjD2//L6B8zwTfJ78PQCOP3CF5Dbf/dCJj3Qa+WoCXfydjqK4M0WLdy1J4fSJBYoCFPqHOPU8RD8bCqY9lYP0ijFFGAqzRqVzoz6G+pt0D3iWB+pLN/QKAGe70z0js/A/TP0CxAMyns4dSq18BwtnPxo4lso6w+B4dAGOgfX75wH2R1wEnALjRPA+KTlHP9f5vflNudJ+8IYmxxVEMP8+BuI9FXDI+QbBenSnx5HKGAlcQSSv3Pf9/Yy6RP99/o3AjUkDtGSCgtNTdMr/Z/Cbu1c5k38jBPVuUvqGQP1IOf49BPq4bUAuuzsQ9f94vgl6awQNw5WudEevw7eEDjrmRbUKPf2sim12q4Mt+qwJAM9vwh55VP8gQVY9UjBFA8xBXHzxwJpC17pSeYK6GL7HgOr61oGBxuR/CbthenqCJ3mHhJxDnPj9unU1EsAFPjd1s4aqwQZFJcwjilVJED0SiRC4pIh3wiFGWARhg2eHvnrKuJn6AgDYR3BF1PGc/Gi9ksmte/RADMV19gF8brdIj4k/wgUDtXzDhkNEQOO33/+9hcFFfDgKfu8CZ8PXQbG0+v37Oes+I8rkujiG145gREDAFTU7f7mzrv5luiwDwT8Fsp5+UYMis1A79IR09H5KEQMgBjN4RIPFguy2gQt3+98E+jl2Pp+DEnvLen2C5wRvhcN7CQQAtwaDO8CfiJC4iMkYDEF25cejenj3s7vsPEU8/v/buN+7x79Lf+JFCoHCvCpDYv+ODm7H7ME0vMH0yXrOisE76fe9iZZJbUbW/qDGZH3thXtBn/wkx88L27m3ShS61QWtBqLHnP9nAfKJQg5rPc2DVTjy/OsFpAMeebE79QLDQLEAffmdOP5GaUNLwf5/mHtXAVFwc8XlQg5+EUHP/XmBi/hadT9PVog7gXTFXK61QC38wb3vhVlDOzuQPieLX/liwq77MEEG/pADPXOEvUI//QNneRMDzQPmw0Y8ArscCTq9EzG5NPK0kz/wwN+CF8O5iCYFYcXJBQuDvbfsxKkHYLsR9Ho9cQyrBn1EaXK/eNjxzoYpAmc/n346RPlAE3yGgR1/TkanhJT+5wOPPLR+2TiyewfFL33HgPQJ/X+/BBc0Nn5yQOn6x/1ghJZFZcCSBh/CLL0OhvKGSgWovFPBQIN7yJz1j/HlwLmHHj1V95ALIkFGPMlDyQK9gk8FgQEx9Up/0kPhATHG9bejh6tujwg7fHsO5z1yBO+HXwElyQRIAjUfxiYJ57oISAS/9L5qeMxCoLxCcHX65UEpzdkP1Lq7xwq+jPvb95kwmMrosH87OHgR+90EuwmK9sfCK4Rwg2TL6cBCToXDMfbyCz19DHvIwHk/j8TTxLzCEgE7yn7FMLy1ghc/ArtbgPcFnUPCT4V6rXyrAGiCkn2dAvZJRgltgA/7Kja2xWD+CAJ6fHmChUTGB+rzbL6+BAXEGDHtwUV6afNlhek+vEsWQcnCO0Z3eDp89fSWOaZH4wHpwL4N6j5WNwi7wn1nwBl9ab6tuiV/YEdofSgHV0MdyuKIuIDlxfNBAcRCyZC7YIw0MDvGIAzbtF4Binzud1f7uXhJ+JSKLMS9cXkL/U53AaZ7bTVyv6qFoP6mu2Z7K4XGSDmJRb1yweiK2tdIBvXGDzts+tL6nwIOeCGukz6pf8vBOTYYtQMD0seNTXuDhTuvxl75Vky6OfG644vKx5n/ncS/RyiCyUXyfMoE5LusACfAgfRnwKwAJLuKBPJ8yUXogv9HHcSZ/4rHo4vxuvo51kye+W/GRTu7g41NUseDA9i1OTYLwSl/0z6hro54HwIS+qz6zzt1xggG2tdoivLBxb15iUZIK4Xmeya7YP6qhbK/rTVme3cBvU55C/1xbMSUign4uXhX+653SnzeAZu0YAz7xjQwIIwQu0LJgcRzQSXF+IDiiJ3K10MoB2h9IEdlf226Kb6ZfWfAAn1Iu9Y3Kj5+DenAowHmR9Y5tfS6fPd4O0ZJwhZB/EspPqWF6fNFem3BWDHFxD4ELL6q80YHxUT5grp8SAJg/jbFajaP+y2ABgl2SV0C0n2ogqsAbXyFeoJPnUP3BZuAwrtXPzWCMLy+xTvKUgE8whPEj8T5P4jATHv9fTILMfbFwwJOqcBky/CDa4RHwgr2+wmdBJH7+Hg/OyiwWMrZMJv3jPvKvrvHFLqZD+nN5UE1+sJwYLxMQqp49L5Ev8hIJ7omCd/GAjUESCXJHwEvh3IE5z17Dvt8TwgrbqOHtbexxuEBEkPKf/H1QQEPBb2CSQKJQ8Y84kFQCxX3nj15hyXAj/Hc9bvIgINTwWi8SgWyhk6G7L0fwhIGJcCWRWCEh/1p+vJA9n5XND8EPX+0CceA733HxTJ7GTi0fs88pwOU/ueEjkadf0aBE3y5QDpE334nP6kCToYY8f946XK9RGsGcQy6PVH0YLspB2zEvbfLg4kFIcXmBXmIF8OfgjDA0z/ytLk00zG6vRwJArsGPCbDTQPTA+d5PQNCP8S9fXOQAwb+sEEu+yLCn/lni1A+OzuZQy+FQb3t/PVAHK60xXuBVog/T1p1C/h5gY/9UUHOfiVCM8XRcFcBWHt+f4vB6UN+Rl04/fmxAENAtQLxO955pAMrBbL81TjNg2s9wg5yiWcB3P9ix60GlQWUuvdKG7mPC+TH3/w7Qa2FZH3gxlb+rUbWSX2JqfeBO86KyXrB9PS87MEux84OYv+qQ0K8CoHiRQt/x79fu9u4/v/FPOw8c7v496N6ZceBdtgMSMkQuJ+Iu8CGgwC3CQQDey+F5wR9gst6UnvfgzY+ujlfBPf7wQtstoWCxIPzeGAGEQM+SjT0dIRQO+KzUYMefkWygT8sA+W6Lv55s7t/lTUAwCBEV454huS6I8rrPjs5+v3xtNdBp8PvAkp+/DgBRX2F3/+jt8RAxkN8w4O1QgUJP8iPrrdBfHX2DMV0QC170smovZz8VPGwRdhHQgDZ+gq4vnrnh6GDWARhRnfCJIhQuJKJED0VSSOKZcwGRSrBM4a3dYU+EsA1NT26XPjcQ4eEp3m6giF6SbtkfwHG1oGq+seA2L7CuhJ5l7paQvHAnHzMQUUD0jBWPWBBVP8eeW/CAM9sCS36q4MtdqyKff21CiZFjjr3hC/DtEeVrk3DqwQJeni+Nf97EO67LUA6uH0E+f49SAZA0vq1bmME038XOZu7Z/CK/1N0wtNkgoO0TUkNwL3+hP9Mun39nPfkr9xBGAlRyifHunSGwUj5FXDiPT4G8P8VRCbHMIYSfs25/flX+Yc/6TlwPiNE3ALcBLZHZwH1+86B9AGgeHrD1soaOKc/BwttfB1Kns4DMoLEDP0wP2Oz0z0nu8oAd/QqSxYHz3ibdAb6oz6lc7NGmAqxRTSKFYPmPZsKhD81PEc41PqKAgkFofStSct3M0WiuB2OnfyqAlr5T3QQiZ/95Dbwhc4/fQCe/BN8szw+gf/8jD25Q5OD+U+FwDWNF4IX/kTEA0MjNJvMnoCLg0vELgRmz0pFNnzQeRVzJQi18OcH4Ig6vqLIgLw8dV+F+8pdfA/Kxr+vTZ+627iib35/vG6KxLvuRzZBBh+CPOzi/ToEXQTKgCRGHYhshfo5uIws9qa10zgYc5n7dnXPPHQ313+ljmFBmEHgtUG0PQwQxo75mnXc+Z6B/kKjAqXDBr5bAnnCfTQZR7E78EW/ezCBW4LcinxBHEJGwyEB6wY9/SD6V3TbOS45Fztj/AKFTTtzhvZBSAzhPmxFTjUF/xf84zrnfiC+hAv3Tg9JZXslPHIIA4OOfIkFfD7evr5AqhCr/sK/ENBJCZA2IkSUxHb57bW3TcXKAW2BeAcBwgkcufuM0cmr9Gj6sG1wjXO4nT9JPtKItj//PjLIjvygfqp/J3q1R3HD9nqs+KkGaoF99X3/fQA+uzsJeDlGTGpDYcjjPjhNhHsAg/ILiz2HxuaJE/69kERCOcJ4gfOCX7zo/eEGJ8+QfBU8/0hR+F4ERELlhUELGf6ou9+5IU0oxabFZruUhPdE7nIFtQuFswGDALU7E/xUcIg3WEWevZK5lfD0O5f+v8RHfv+A2fz3Dt+COPn9wDTIYzvTSdd9Jr4VACXF6H/5f5HFoIgM+OJMEUBRu3H8XfulK7OyyAk1xDTw8wNEcfq/KgFrCCzARbVuffYAMUMhg+17xoIZeDyIE7+8Q1NJmspE+yy5DLqvSM9/pLy6DVADYvbQyPZ8dOdhAxx7K/phBkf5hD19LRdI+z9NQS22SMGnwUB6foCWPPs9F4VWc9b1x0GSc5U3PL4GBcHz13auMxUNi46TwKB1Orbyx1K9okx4ffL25foJgAF7tQOvQkN09Eu1vHg6j/+nv/q6woGS+id8+/a0u3AFrPvLNfS/8bhPdtN/On+t9/uHnMYEDRaB8bYebk42MIq6jZ1BdoNSMOi0mj17ysvAxQo5R9NBBMn8Pxx+pTWp93EOJcPgBr1LnUDz9eZAZXprDJPyL4XRxIgvhb6U/58HuXLtdB1+wUFWP8e63znDMQs8l7/Lwtz9Hsd3/AUFIzYIP7P8sgAsRTX7Bv8/NUqI7oMZP2eBuQL6L/x+brrjR189eQHlQQYFnkd8CWtAOD0byByC5PZu/Hh6YveveLiBh35KjEm4rf0E9jRExT+sRvl1oMB2emb84EUYAIMxq7V+CT9A9LH9+rY/Z/n2AHjI4XtLcpR/UgxESA6+fkaf/fL/zApNvwd6ZQRb8op9NcDhQCbANsJmQwW9eHrfRqj+j7wLg1x/UbhlxWw/jxHcQPl9cnxVf6cBt/z/fQ//bmysfZ+6I8jiN+ODTrieB23JiH8uTOjBkPZgMVnHs4SZufHHQsksdcg5pb1swLt+lHnihQiwT3Ml7/04FsWLyJDGqLUp/444lHnmQMvIP78bOwj54P5PADe7MTokubmB1Elg+tgE44GF+6yBYnhgC41/Sjf9xRzGRLtGvuA+9X1DfEw894sdQJVHrMk4hpauancVA9N4mkRGsycFxMDiRWpBsAJay2B+pEPv9/DLn/jR+BnFPAg4BOc4C3zLw7q/AkKorZ70h64FQVOEwfhhPlvI60Hw9836eHophhSCuPcNQ3bINk1LuDlFjHWpTiBJBoS4fzN9tbshRQ188soiuTG4mbvDVEsF/z0iu/R8psB7Cl+9IEBrS2EEfj2mwLC+RIQDN2LLO/25Mbgt0gM2g+f5TwaaPMpAeYS58jg1Fv+Swtp3+rUstoG5r8Mcwyq4mAmhA56zgMNF/CKBugLyQwwHPsY0tLxHxMd99mtA6/zghOjDUU6kC+qDFQW2/Gx68RYK/XgCTkf0vG0QlwEi+qf6TsWFfJCFRQcfzdJ3pAjNT/fEGHv3/kMGgnFOQfFEewNjOtsAkAxW/uGv0byYu0iM3r2lBFRAb07gvGR+vDqWwzfAQf+q/m6/fEhFdgjELHiZ/kcB5n4q/PHMuwUttZw7Rb4hfnT0TX/cdnXzZfnPrrAB6zMDdaiCzMhOf31/XMmZ+PUDPHYV/H1/N3/kRhGDr8sbw9RIEsxDBcp0g4JefUR0fv9szWTy+hFxgem5MEBGf0qKmD5diey7XLHnAwQwZ4J0fFiBczrUBQB86sPox7r5WTsiQDKG3noiPDj0Xka/e+6/icqVlbr/+kH5egs3s7p1t5+5VgOdRFqEC3bKDKD+a7S9wb4+QMNax2zPdXDeui/3hYgb+DU2pbEsgde+VLhETnOMOTzEOsGLXLhCfaELBAwLhUVIxf++/gLDR/9x/ib56AGVhPfKQ0BV/Cw6DQDZR4UEzrs7gI4/W0jdQhUMqAVt/XNF5HYGed0BXXs9fh/w4f4wg9dHBrqyMAs+mLqFOb14EvTNPJz6nnmcCQu+LUh7xtjIVkTuAQ19ncGsxlQ7yTzIMzDBs/vsw8iC8kmjbh2ImEgwvet3g/5uOwSCT/tGArB3oTp49+i6bHwFxmfBkkpGSwCCqPLg/+0xTQNEf6RDTQ0ONyKG3Lrs+dO/McajtdbCwQJCy6WMYTu+NUiNL/xyCko/abR5xWgCAMIORiQ+Cb3RgZX/23vMOpnApr9TPybDw0CFfX3BnwXL+wn5q0+jehl2kIo5sEy0jgKAxmEERjn2Rxr0NTivAgJ0If3Dy0f+oT8XwGT3YkBZPB7Jf4Wmcrc37v7Ww65Cojo8RG6M2sHfvgl8KvsYAPQ2BPuOSkqwRP3LxTh7YHfauUDA0T0figLLv7nbg2uL88RXSeP95APbgNdGtsEXtriFi38rAti4z41jOn4Ir3eAP6gIMVQsrqx9qUsHvAa/tQY9SO93YD/5vDY6JnxejuXC5X6OhWkxuH3ikZEHW0CI/dH+839uz5G9uP6eBCl+0Im+wbT5aXtgP/ULDvxwQ1KyGTld+9GFU7eIwzhJ7TjbbbgAI06ygM7AugpLSQNFIIH+xPKHWHoeTOp6PfW8iLaGZEOjDEX+KEXdA4l7gYjSgE48E7XHTvYCB4ruQDY5jM5ptaYBt3dWAYZObn9fu418/fq6v4eIw8UdQoDCAMBgB+e9psS5el6BfYCjP6szPk4hPnQRNgF2yjRAD3hnxDNCSYnzBbZ76Lh4Ow43wD5Puxx8uP0BiVt9+TaetSb4qkRWwrjEnn8BinrDsfntOPbAer89dgttl76TeyEM0Aa2vUoBnwFTfVA+YHSG+liH+vfltgh3hP7jPRB+v4BN/59EWADis9J7lbp8vEu6uf3F/0fDlsOG+eMAZjumyS9CDboONgIKskqACmOJk/lXTkaCRErkBDBvzMIdw52DLjkFdxZ+jgfEdMK58USovc9Asjphzrs9ccC/haTy773T+R68wTmxA/Q7K/PW/FDFTwBJj/J0QX11P6S5lgMgAjR/v3s2gCpCVf4GxB/CZnmfSMuyC0YjPEL9VMWKe+19F3tdASQ+TwYIwFhD+wc1NQbCUYAoSvlHZzoUfJ78IE2o8515IjJc+IPEXUEtdQLKmbl+S3A7zDi7NsfAML5rB2f/Be2v+/FwVUQK/MPCeoQZgZX+nUbggBlL+YoQfe+56HzY+KWFuLptDDw/k8VpAe9AmXth+uqFGAF9uH8FFLFJPu5/YUU3Pfqww/+8RiSLsgNeOROFQbCxeLn+YkUTPfMB4Lraiaz3gEa+Q3Zj1z9VBMdRuoXVA+WA44NSAkA77IYiug3/6HgnuqS8EnsXAmiLlwJSeyS8J7qoeA3/4roshgA70gJjg2WA1QP6hcdRlQTXP3Zj/kNARqz3momguvMB0z3iRTn+cXiBsJOFXjkyA2SLvEYD/7qw9z3hRS5/ST7UsX8FPbhYAWqFIfrZe29AqQHTxXw/rQw4umWFmPiofO+50H35ihlL4IAdRtX+mYG6hAPCSvzVRDFwb/vF7af/KwdwvkfAOzbMOLA7/ktZuULKrXUdQQPEXPiiMl15KPOgTZ78FHynOjlHaErRgAbCdTU7BxhDyMBPBiQ+XQEXe219CnvUxYL9YzxLRguyH0jmeZ/CRsQV/ipCdoA/ezR/oAIWAyS5tT+BfXJ0SY/PAFDFVvxr8/Q7MQPBOZ680/kvveTy/4WxwLs9Yc6yOk9AqL3xRIK5xHTOB9Z+hXcuOR2DHcOMwjBv5AQESsaCV05T+WOJgApySoIKjjYNui9CJskmO6MARvnWw4fDhf95/cu6vLxVulJ7orPYAN9ETf+/gFB+oz0E/sh3pbY699iHxvpgdJA+U31fAUoBtr1QBqEM03sXvottvXY6vzbAbTjx+frDgYpefzjElsKqRGb4nrU5Npt9wYl4/Rx8j7sAPk43+DsouHZ78wWJifNCZ8QPeHRANso2AXQRIT5+TiszIz+9gJ6BeXpmxKe9oAfAwEDCHUKDxQeI+r+9+o1837uuf0ZOVgG3d2YBqbWMznY5rkAHivYCB07Ttc48EoBBiMl7nQOoRcX+IwxkQ7aGfIi99ap6HkzYejKHfsTggcNFC0k6Ck7AsoDjTrgAG22tOPhJyMMTt5GFXfvZOVKyMENO/HULID/pe3T5fsGQial+3gQ4/pG9rs+zf1H+yP3bQJEHYpG4fekxjoVlfqXC3o7mfHY6ObwgP+93fUj1Bga/h7wpSyx9rK6xVCgIAD+vd74IozpPjVi46wLLfziFl7a2wRdGm4DkA+P910nzxGuL24N/ucLLn4oRPQDA2rlgd/h7S8UE/cqwTkpE+7Q2GADq+wl8H74awe6M/ERiOi5ClsOu/vc35nK/hZ7JWTwiQGT3V8BhPwf+g8th/cJ0LwI1OJr0NkcGOeEEQMZOAoy0ubBQihl2o3orT4n5i/sfBf3BhX1DQKbD0z8mv1nAjDqbe9X/0YGJveQ+DkYAwigCOcVptEo/cgpv/EiNPjVhO6WMQsuBAlbC47XxxpO/LPncuuKGzjcNDSRDRH+NA20xYP/o8sCChksSSmfBhcZsfCi6ePfhOnB3hgKP+0SCbjsD/mt3sL3YSB2Io24ySYiC7MPz+/DBiDMJPNQ77MZdwY19rgEWRNjIe8btSEu+HAkeeZz6jTyS9P14BTmYuos+sjAGupdHMIPh/h/w/X4dex0BRnnkdjNF7f1oBVUMnUIbSM4/e4COuwUE2UeNAOw6FfwDQHfKVYToAab58f4H/0LDfv4F/4VIy4VEDCELAn2cuEGLRDr5PPOMBE5UuFe+bIHlsTU2m/gFiC/3nro1cOzPWsdAw34+fcGrtKD+SgyLdtqEHURWA5+5dbezuks3uXo6Qfr/1ZWJyq6/v3veRrj0YjweejKG4kAZOzr5aMeqw8B81AUzOtiBdHxngkQwZwMcsey7XYnYPkqKhn9wQGm5MYH6EWTy7M1+/0R0Xn1Dgkp0gwXSzFRIG8PvyxGDpEY3f/1/Ffx8djUDGfjcyb1/Tn9MyGiCw3WrMzABz66l+fXzXHZNf/T0YX5Fvhw7bbW7BTHMqvzmfgcB2f5seIjEBXY8SG6/av5B/7fAVsM8OqR+oLxvTtRAZQRevYiM2LtRvKGv1v7QDFsAozr7A3FETkHCcUMGt/5Ye/fEDU/kCNJ3n83FBxCFRXyOxaf6YvqXAS0QtLxOR/gCSv1xFix69vxVBaqDJAvRTqjDYITr/OtA/fZEx3xH9LS+xgwHMkM6AuKBhfwAw16zoQOYCaq4nMMvwwG5rLa6tRp30sLW/7g1OfI5hIpAWjzPBqf5doPSAzgt+TG7/aLLAzdEhDC+ZsC+PaEEa0tgQF+9OwpmwHR8orv/PQsFw1RZu/G4orkyyg184UU1uzN9uH8GhKBJKU4MdblFi7g2TXbIDUN49xSCqYY4eg36cPfrQdvI4T5B+FOExUFHrh70qK2CQrq/C8OLfOc4OAT8CBnFEfgf+PDLr/fkQ+B+mstwAmpBokVEwOcFxrMaRFN4lQPqdxaueIasyRVHnUC3iww8w3x1fWA+xr7Eu1zGfcUKN81/YAuieGyBRfujgZgE4PrUSXmB5LmxOje7DwAg/kj52zs/vwvIJkDUec44qf+otRDGi8iWxb04Je/PcwiwYoUUeft+rMClvUg5rHXCyTHHWbnzhJnHoDFQ9mjBrkzIfy3JngdOuKODYjfjyN+6LH2ubI//f303/OcBlX+yfHl9XEDPEew/pcVRuFx/S4NPvCj+n0a4esW9ZkM2wmbAIUA1wMp9G/KlBEd6Tb8MCnL/3/3+Ro6+REgSDFR/S3Khe3jI9gBn+fY/ffq0sf9A/gkrtUMxmACgRSb89npgwHl1rEbFP7RExPYt/Qm4ioxHfniBr3ii97h6bvxk9lyC28g4PStAPAleR0YFpUE5Ad89Y0duuvx+ei/5AueBmT9ugwqI/zVG/zX7LEUyADP8iD+jNgUFN/wex1z9C8LXv8s8gzEfOce61j/BQV1+7XQ5ct8HlP+FvogvkcSvhdPyKwylemZAc/XdQP1LoAalw/EOFTP4RLuEJkjlQ36EHsiuhDJALz4/eHB+JjU/1L/LBgVH9EdOIk81fVqzIsx+NDGzl7llfBX8RH7Lxdd+bDY7h4R3tQKIwbPHanObhK0HdMRmARdKqPq4Ddb9fPYoxJH64ISRt48BRvMqRFu7y3wvCu44ePX+PCDI4zjJdOUA+vgxSdf+bwh//2MBBz6Oiqx2JncX+oqJicJJRQO8GgJpBBiF5/rQfEB+sfyrxVV+XEUDwvt8jD+kAG7HN3d6ShI3aQJeOD6LAX42wv6AewNaAGRIfYM8T5jCRARNs9WElUbxzAKIjfi4RXQG9Ts/u7q8X03WwMoJ/v4HAZRDfr/2O6SIantb+xG94Mt5DR6LObwzAXdA9T9+uFS0Cny1hCu67LxJBah6r0eGCo1BEY8gQGB+XspNc/VCUkT5hAUxhEa9/F3BbcSC95PD9LBdAPvzpjOIg2dLxP4lxH539osCNGP9DQg/iNeBeP0YRHSAXjg7P858bgcmgHzFST9n/PxTw/4qwmG62jkoeaFA9YTpRaKM2gZNeTe6jDs3w52LhQieeyYE9EFIukQItP0Ps+V6n3/VAyPDysibOvj5X3g/s/V+Nvd1sj2Cgnro/j6MgfPHhZX540a6/Db+9HUIuh1BKMgLCmdytAL8f4Q43IE6uK73WQDrRkN09Msmf1w6w3GIh4v+ysTWf3TBKn1dPLY83XjAhDn2KAhS85Do0EOI+BiOATeb9k6GsgCGOhl+RIssNJJDIsXjfIB5tHGZSEiFBsAHC+o96LGXAe1FagRZipi2g0FZCP+097FggYmDG7D7waFGPUJ+AEOK9rY+Suy7eLkavZFDpRGuOuEOgjrqNQo/lo+5/m+Fz790yjbJmsIuBAbLEjzqP2T4nfYzRRVABcLS/dzIUPMrNKCC0/4zPea3LMcOQQ2D/wHWzYzAxj9Ovx/2Awim/W6IFQjdA4jAq4VmuzhEuAibCiECHUM7S+KDfLwAOUZxFTVSeLXAxLbm+lHKnX2j+4bNs7vLOaEBtkHYwgZ9hEOm/2dASTPSxNPFOYSWBdjB7TzvvKpLxcXKzYa6/k0kNioxGPwEvdTLw3s/dU2GTxBXfDTLdMN4engDsvOQ/D89AcUPtOo7YIQFOd+7koJNTjPDlo6uBiWCmzL3/ul/WnLwiCY5Hs6QDG1yIraTdbT+2IsnAMB+xIfcwa67arm/uPNGYoeYeizzCMBtOjEFyLeNssAxUA5Cz8DApL8Jcxu858uIAGD4crXkCyxCRbHIBpi6rovmCRBG3wBSAjQLpwqVvSrAJH5sPsF+fb2sAPKCowSKSdFE4CxcPJoKBAFD7c1BtUAdbWxJC4mHQUMEPUNgdDz/yfhKDR3BKYEk/yt8pLr1etn1kkZDwiAz0UnpA9p9erRzyFr+kIPEwqJHA7vUvB553sMgyQJ6EccuwFZFRwcGh20yGHa1feTDxBCs/uRFh4GyOviNP/kswdI5Zn7NCRRPqcOriY073/kphaO//EC+RIZAa8zbPq9+4bAbASU7zEnRA0hDe7tw79W7V47zRWhECsDgfYMNzrqDvNZ6kQXtyB4AYAgFdKzyDPw0uAR8IzatRPT3ioCtRmoJe3skx3nIM70PRkG1ZYFaRb395sE4eU3CqUPeRoY/GbmNA5E7TUNPf+9+1nil+di9ab4aNXhCw3b0/u43bQ8KQS/IbPgpjiK2vDtlhmj1OcR9Pdf4FXkheEc7msJqNxD5Xf8iwBsBcAXGik/6/vdZQ+G/YHf+RV9CGwEr98b6+gg9upRxWfywfpVAKoc2/We4R/ZqSZP6Ygn0iYw/BMSqQ/HGdv4wvROynAJoeYz1DDmWCJY98sJQAEM7MAG9he7CbX2jRP3Jfkc2vPcHJD3MR2a2U8D8joEDH0COPtgG5sKGOcuHHT7FQiw/nbprhrj65noV9rX5hMT5v37/W8zmhqhKjgTLyAH7kAjEHd06o8lDdfQGaUY2SBbOO/yvfqSxtrjbdN/AR/2Xs7t/KwVZv3k30D1gO176PngkRCIDeTgcvgsF4Ij1wSyEfcVLSEI9Zv/qvQDUPkDy/2f6SYnXdmyCUwW+Qo56p8bTw6v/wsI7u005FLhDufZ6vr6dRZrIVDvEBABFo06BQxc2zXepBJq5l3NzhKE7mrln/At8oUNPt2v3ie76sRy7YoESSZ0IgnrU/IoQAv5pe2sGiPzpc7/+z74VBSVC4j1iSjr5P3trDOP888JWCDUIJQZx/lj8FMWpuerCBb4tvqH3CQCpCBB0w0vPN4pHwgcqPzv28kPvMjb9QkJSTNLNBIiWgdPNSQQCSm7GnbjgMjYCp/eVOgD6pFDnf8Fy0M02weZzO/zdv2PKG8++e9h9b/r4jg073wcncOBEM4PKtV76Q0Zn7CDB1ble+Xq5h4jAOUu89LMk9/pQXEWhRFaAz3GN9JJDm7txxDPRH06JP7p7vb60+sMJUMaIALIFq0tIuHEBTI67QFFAoDbtOU4HTzlVfAzW18XTSMkNfAxczblGEzsphat7cUK2w5M9NQFRA60F6j/EPjVBMPVuu7+AoH5rwHOBUH9pu3CEscH3c1qIH0FvxyeuecaAvGa3rQIJemaJyECiDRH5CoECfE162DnMAT7DWrjrQwo8aEehQf4H1IIZadBJkoEcwp/IhUswhkGTIom+TJ/8k8Mg/tVFNceSEEAAFD7+Pf1+jQbLRDBF07lGSZ+NEbZbybz6/Tt+CX07fPrbyZG2X40GSZO5cEXLRA0G/X6+PdQ+wAASEHXHlUUg/tPDH/y+TKKJgZMwhkVLH8icwpKBEEmZadSCPgfhQehHijxrQxq4/sNMARg5zXrCfEqBEfkiDQhAponJem0CJreAvHnGp65vxx9BWog3c3HB8ISpu1B/c4FrwGB+f4Cuu7D1dUEEPio/7QXRA7UBUz02w7FCq3tphZM7OUYczbwMSQ1TSNfFzNbVfA85TgdtOWA20UC7QEyOsQFIuGtLcgWIAJDGgwl0+v2+unuJP59Os9ExxBu7UkON9I9xloDhRFxFulBk9/SzC7zAOUeI+rme+VW5YMHn7ANGXvpKtXOD4EQncN8HDTv4ji/62H1+e9vPo8odv3v85nM2wdDNAXLnf+RQwPqVOif3tgKgMh247saCSkkEE81WgcSIks0STMJCdv1vMjJD+/bqPwIHCkfPN4NL0HTpCAkAofctvoW+KsIpudTFmPwx/mUGdQgWCDPCY/zrDP97evkiSiI9ZULVBQ++P/7pc4j86wape0L+ShAU/IJ63QiSSaKBHLt6sQnu6/ePt2FDS3yn/Bq5YTuzhJdzWrmpBI13lzbBQyNOgEWEBBQ72shdRb6+tnqDudS4TTk7u0LCK//Tw6fGznq+QpMFrIJXdkmJ5/py/35AwNQqvSb/wj1LSH3FbIR1wSCIywXcvjk4IgNkRD54HvogO1A9eTfZv2sFe38Xs4f9n8BbdPa45LGvfrv8ls42SClGNAZDdePJXTqEHdAIwfuLyA4E6EqmhpvM/v95v0TE9fmV9qZ6OPrrhp26bD+FQh0+y4cGOebCmAbOPt9AgQM8jpPA5rZMR2Q99wc2vP5HPcljRO19rsJ9hfABgzsQAHLCVj3WCIw5jPUoeZwCU7KwvTb+McZqQ8TEjD80iaIJ0/pqSYf2Z7h2/WqHFUAwfpn8lHF9uroIBvrr99sBH0I+RWB34b9ZQ/73T/rGinAF2wFiwB3/EPlqNxrCRzuheFV5F/g9PfnEaPUlhnw7Yrapjiz4L8hKQS0PLjd0/sN2+ELaNWm+GL1l+dZ4r37Pf81DUTtNA5m5hj8eRqlDzcK4eWbBPf3aRaWBQbVPRnO9Ocgkx3t7KgltRkqAtPetROM2hHw0uAz8LPIFdKAIHgBtyBEF1nqDvM66gw3gfYrA6EQzRVeO1btw7/u7SENRA0xJ5TvbASGwL37bPqvMxkB+RLxAo7/phZ/5DTvrianDlE+NCSZ+0jlswf/5OI0yOseBpEWs/sQQpMP1fdh2rTIGh0cHFkVuwFHHAnogyR7DHnnUvAO74kcEwpCD2v6zyHq0Wn1pA9FJ4DPDwhJGWfW1euS663yk/ymBHcEKDQn4fP/gdD1DQwQHQUuJrEkdbXVADUGD7cQBWgocPKAsUUTKSeMEsoKsAP29gX5sPuR+asAVvScKtAuSAh8AUEbmCS6L2LqIBoWx7EJkCzK14PhIAGfLm7zJcyS/AMCCz9AOQDFNssi3sQXtOgjAbPMYeiKHs0Z/uOq5rrtcwYSHwH7nANiLNP7TdaK2rXIQDF7OpjkwiBpy6X93/tsy5YKuBhaOs8ONThKCX7uFOeCEKjtPtMHFPz0Q/DLzuAO4enTDdMtXfA8QTYZ/dUN7FMvEvdj8KjEkNj5NBrrKzYXF6kvvvK082MHWBfmEk8USxMkz50Bm/0RDhn2YwjZB4QGLObO7xs2j+519kcqm+kS29cDSeJU1RnEAOXy8IoN7S91DIQIbCjgIuESmuyuFSMCdA5UI7ogm/UMIn/YOvwY/TMDWzb8BzYPOQSzHJrczPdP+IILrNJDzHMhS/cXC1UAzRR32JPiqP1I8xssuBBrCNsm0yg+/b4X5/laPij+qNQI64Q6uOuURkUOavbi5LLt+Sva2A4r+AH1CYUY7wZuwyYMggbexf7TZCMNBWLaZiqoEbUVXAeixqj3HC8bACIUZSHRxgHmjfKLF0kMsNISLGX5GOjIAjoab9kE3mI4I+BBDkOjS86gIefYAhB149jzdPKp9dMEWf0rEy/7Ih4NxnDrmf3TLA3TrRlkA7vd6uJyBBDj8f7QC53KLCmjIHUEIujR1Nv76/CNGlfnHhYHz/oyo/gJ6/YK1sjb3dX4/s994OPlbOsrIo8PVAx9/5XqPs/T9BAiIunRBZgTeewUInYu3w4w7N7qNeRoGYozpRbWE4UDoeZo5IbrqwkP+PFPn/Mk/fMVmgG4HDnx7P944NIBYRHj9F4F/iM0II/0CNHaLPnflxET+J0vIg2Yzu/OdAPSwU8PC963EncF9/ERGhTG5hBJE9UJNc97KYH5gQFGPDUEGCq9HqHqJBay8a7r1hAp8lLQ+uHU/d0DzAXm8Hos5DSDLUb3b+yp7ZIh2O76/1ENHAb7+CgnWwN9N+rx/u7U7NAb4RU34goixzBVG1YSNs8QEWMJ8T72DJEhaAHsDfoB2wsF+PoseOCkCUjd6Sjd3bsckAEw/u3yDwtxFFX5rxXH8gH6QfGf62IXpBBoCQ7wJRQnCSomX+qZ3LHYOioc+owE//28IV/5xSfr4JQDJdOM44Mj+PDj17jhvCst8G7vqREbzDwFRt6CEkfroxLz2Fv14Dej6l0qmATTEbQdbhKpzs8dIwbUChHe7h6w2F35LxcR+1fxlfBe5cbO+NCLMWrM1fWJPB04H9EYFf8s/1KY1MH4/eG8+MkAuhB7IvoQlQ2ZI+4Q4RI4avruFfdd9fYX5Sbf9afp5PxJB4wTTvmFBPPrJCDQFKT6MhLOJBoJOQfY+oTmXfLD5kQHIRTl63TlWOY+/mTpfcMjIdjwpQRrC0DupufaAkPnh/K+KZUaD+MxGa3qE/mT46Gv3CQFHCgUMa9L3ZT0bBWo8dnKcRMfJ985uBcQ8DP2hdZp39T1GA1v+YXy6QaEGBwlN/QEHdDjhBnoD57S9REG6Rf51dbrBswBAfajGhUzPOFJzv0r7QGZDZ0NRu+0A4/vMflBM88F9wil5FTjf/KDEkYHR/WUDM8EjfepxoYjP+k65gv5fjWz4RAA5w+j6lz4AyKt9gDpHSK94oDS/BjpOakV1PTr+mj1jB2Q/ED9lvEqEGIBsPsY7drzGQ7k5YcJ1+YT8oFAHtGeGwn7DzshChMbwRBnMeYje/DkDbkirRZLCZEiouIBJXjmX+UNNNoq8S2mFHHz6t+9xQ0n3PpnOxIYLBJP/DETqO0tGwrtBgkJJJTveOoPzNTWM9awQrgTzQYHG2b7ptUADdMUWB+wC4UN1BQgCbT6mSLQztHkwO1Z9v/zKgX/+lVB/eNz58HrzQwC40/4vtHn9wQjyRtC+zQUGBqb9HUn6N0TB5fJ6Bu8GjS/dDXyC9E6OgL/5srMzgeTB3k2ngzf1F8sOeQv1jrjxCtd49IhBwSBCYIe2voz8eEGwOXxK1rs/8z+3/fb6gMEBDcOG+/O9ikJz/jH7hkAHQ+44+HtlgY+Gv4gbxDiDajPWQdi85/gUyNsKwz1qSWAOT8Ifwd3RlfjWvLexyXsEB5g0BvzEe7nQqbK2vKKBPzhNOPQ5osWGa/N9SoN5CjGADccVgTjJSRNmCcwAigRhOtwJ8MFbOkxIaYrBe4F69sm+OZ2JPsKNeT0HQHG99h9+nP8/B4W3yVE8ypj7GEGSinSAMPvBBWd8P/3T8dpDnYHY98M2oXkEWCHDi8AMP2b7u8MjgywGx8cN/dF+HAmlr1D4DI8zU80JSffpvpJBn8UaC5d2L/L4jh80gQS7uo9AgjlwQwJy+0ZsBA5DcAJnhvk6M8JGQtj6Qsct9oADNnqC+o2AOjUEOV18OkmeOdBx3H0MyTy6nAnFLAg4Y68lvML4v38iyruDY8esOl1F0Mul+ON4KLsqgKZGI4OC+ha4icq8wk897PhuxkrJO35BABE+Kb5biyjFX4YNBUm0LoZJMO26B3s2h7a017ffzRN8HDyFe57IsswoMOkDCQX1+w+BiroUvzQ/MH88xP24sQwavvp6Tz0Vf3ZICb/he+w64rSBu+bERsM3uqc0ju+mwx9//DmuP+q8E8dHh1kKQTfXRii8OMakfJuKm/8SA36w3/0auiKBMTVRQ8nCx0xd+sp4QbwUwX2BTBLhwtJ3qDf+9+SLegS+eAfD/0naRj96zgsej8o+JoAYO9Z/xwO3AXDOn44WPtV4ww68u7yAV7L1BQ0Cyn7qRFa6IsHwQE41znhsAm05uX4qAWMA7AIafH7EAEEQ+9b+TAH7yYdPZ8csSivDzoLiP64KaMKKtqr8YfYXyLF+bYSxgPELgMEKQW2G1D3yAefAqARegkMANwCYgeN6tXweR2K+goYL/5l6VcFv8sPKmkFfwfcB6T6RwE7EGsQvQdR5BHcPvI+6ubNcdFA9twypQhoLyMNySZpxyYQhicuI/3vbQJ1BYT20PwvBZL2qwJ69+gSczeBGG/8NfrNC1HuZwC6DnbpeQ6aLGQmbAiJ86zyyhZvKcsoZgRK/1f+Z/OeOaE5HfrqIrvyRyss7eHltCqtCP/6GBJi/mT0dA81BADy0CPvxuoKPRIeC+vd/BzjJckGsgrxCPIorxJICQrBA+hV2bsN8wMv7ef2w83z/h3Qn0u+x2jVFAJp/usJcBqk5739+9hB9PkcscX9EPv+b+84C+P/76+l9PoPwx5h+joxYPHNCoLUgiMztTsuTyIX9SoOzu1lKxYiKts1AYLmVui1+Ysky/sfzKj+XNn35nUCwePX9m3yigoq5OkWcuaju3rt8e2EEVT7sdk28lLsnC9lFLfaSA+Y/8jgXucODRgbYPsdSuHqFiTRH8Pq9Uc0+CsH9uUfwO8Vjuc/BLb5gAMnDk05Migc+zbn+N+zP/X9XSRE4eMLDc5tCuE1FwsqBM37/gAW+mv9efAYAg7vISsY5yb0jMxy9TED+NWjEDQcqxERLj79cgNR4bwBQPlnQYX7J/qf9HMMfQWlI8/gefZNLIIH2OJqIgkFRPQdAi8gIyLI9+zBi/fMHuMtRAzsKNfnrizV/eH1/vz12CapH+LiD8IfNujs+NrVugezwwDvzQ3q32UOXu0G12fewepY6RXzfR/L9o7XyvoUCL4Z2NnI3YXq1BXvE2Q7GxI8BK4swT7X+5b8HRGZHt4IA+djB/DVXsVW04vqRe0g9L/4uNs6B0YaXw0U/uozOO/6DujHkBKkHpo2SSOQJga2O+i9zPTopvmJCssZh+kKCur10OOy/wz7CdvtI4fyzcsgAWMhz9mRC7DkuACzD/DmBO1dB77kIr/4Fx4VMtS3JwL9TglLCr/nRN3bE5wDnQO92ULseU2D8pHXmuqfC8HqRxweBA3kLAM/GtTcxAgREOfkIRBmKxvtrs2D8Xm9Vf0c3U72L5hpUCHv3xV12aYIA+9a4476xuITCKUH9fNl+3Po+MEWAgg5J98N2iXaVQ729Av6thuA9cn2fRNkCt76OSqzEl25sxI5Kt76ZAp9E8n2gPW2Gwv69vRVDiXaDdon3wg5FgL4wXPoZfv186UHEwjG4o76WuMD76YIddnfFSHvaVAvmE72HN1V/Xm9g/GuzRvtZishEOfkERDECNTcPxosAw3kHgRHHMHqnwua6pHXg/J5TULsvdmdA5wD2xNE3b/nSwpOCQL9tycy1B4V+Bciv77kXQcE7fDmsw+4ALDkkQvP2WMhIAHNy4fy7SMJ2wz7sv/Q4+r1CgqH6csZiQqm+fTovcw76Aa2kCZJI5o2pB6QEujH+g447+ozFP5fDUYaOge427/4IPRF7YvqVtNexfDVYwcD594ImR4dEZb81/vBPq4sPAQbEmQ77xPUFYXqyN3Y2b4ZFAjK+o7Xy/Z9HxXzWOnB6mfeBtde7WUO6t/NDQDvs8O6B9rV7Pg26MIf4g8f4iap9dj+/OH11f2uLNfn7ChEDOMtzB6L9+zByPcjIi8gHQJE9AkFaiLY4oIHTSx59s/gpSN9BXMMn/Qn+oX7Z0FA+bwBUeFyAz79ES6rETQcoxD41TEDcvWMzCb0GOchKw7vGAJ58Gv9Fvr+AM37KgQXC+E1bQoNzuMLROFdJPX9sz/43zbnHPsyKE05Jw6AA7b5PwSO5+8VH8D25SsHNPj1R8Pq0R8WJOHqHUpg+xgbDg1e58jgmP9ID7faZRScL1LsNvKx2VT7hBHx7Xrto7ty5ukWKuSKCm3y1/bB43UC9+Zc2aj+H8zL+4sktflW6ILmNQEq2xYiZSvO7SoOF/VPIjsuM7WCI4LUzQpg8ToxYfrDHvoPpfTvr+P/OAtv7/v+/RCxxfkcQfT72L39pOdwGusJaf4UAmjVvsefSx3Q8/7Dzef2L+3zA7sNVdkD6ArBSAmvEvIo8QiyCskG4yX8HOvdHgs9EuoK78bQIwDyNQR0D2T0Yv4YEv/6rQi0KuHlLO1HK7vy6iId+qE5njln81f+Sv9mBMsobynKFqzyifNsCGQmmix5Dnbpug5nAFHuzQs1+m/8gRhzN+gSeverApL2LwXQ/IT2dQVtAv3vLiOGJyYQacfJJiMNaC+lCNwyQPZx0ebNPuo+8hHcUeS9B2sQOxBHAaT63Ad/B2kFDyq/y1cFZekv/goYivp5HdXwjepiB9wCDAB6CaARnwLIB1D3thspBQMExC7GA7YSxflfIofYq/Eq2qMKuCmI/joLrw+xKJ8cHT3vJjAHW/lD7wEE+xBp8bAIjAOoBeX4tOawCTnhONfBAYsHWuipESn7NAvUFF7L8gHy7gw6VeNY+344wzrcBRwOWf9g75oAKPh6Pzgs/etpGP0nHw/54OgSki3736DfSd6HCzBL9gVTBQbwKeF36x0xJwtFD8TVigRq6H/0+sNIDW/8biqR8uMaovBdGATfZCkeHU8dqvC4//Dmff+bDDu+nNLe6hsMmxEG74rSsOuF7yb/2SBV/Tz06elq+8Qw9uLzE8H80PxS/CroPgbX7CQXpAygw8sweyIV7nDyTfB/NF7f2tPaHh3stugkw7oZJtA0FX4YoxVuLKb5RPgEAO35KyS7GbPhPPfzCScqWuIL6I4OmRiqAqLsjeCX40MudRew6Y8e7g2LKv38C+KW8468IOEUsHAn8uozJHH0Qcd45+kmdfAQ5ejUNgAL6tnqAAy32gscY+kZC88J5OieG8AJOQ2wEO0ZCcvBDAjlPQLu6gQSfNLiOL/LXdhoLn8USQam+iffNCXNTzI8Q+CWvXAmRfg39x8csBuODO8Mm+4w/S8Ahw4RYIXkDNpj33YHaQ5Px//3nfAEFcPv0gBKKWEGY+zzKiVEFt/8HnP8ffr32AHG9B015PsKdiT45tsmBesF7qYrMSFs6cMFcCeE6ygRMAKYJyRN4yVWBDccxgDkKCoNzfUZr4sW0OY04/zhigTa8qbK50IR7hvzYNAQHiXs3sda8lfjd0Z/Bz8IgDmpJQz1bCtTI5/gYvNZB6jP4g1vEP4gPhqWBuHtuOMdDxkAx+7P+CkJzvYb7zcOBATqA/fb/t//zFrs8SvA5eEGM/Ha+oIegQkHBNIhXePEKzrjL9Y55F8s39SeDHk2kwfOB8rM/+Y6AtE68gt0NTS/vBroG5fJEwfo3XUnm/QYGjQUQvvJGwQj5/e+0U/4AuPNDMHrc+f941VB//oqBf/zWfbA7dHk0M6ZIrT6IAnUFIUNsAtYH9MUAA2m1Wb7BxvNBrgTsEIz1tTWD8x46pTvCSQGCQrtLRuo7TETT/wsEhIYZzvc+g0nvcXq33HzphTxLdoqDTRf5XjmASWi4pEiSwmtFrki5A178OYjZzHBEBMbIQoPOwn7nhse0YFAE/LX5ocJ5OUZDtrzGO2w+2IBKhCW8UD9kPyMHWj16/rU9KkV6Tn8GIDSveIdIgDprfYDIlz4o+rnDxAAs+F+NQv5OuY/6YYjqcaN988ElAxH9UYHgxJ/8lTjpeT3CM8FQTMx+Y/vtANG750NmQ3tAf0rSc484RUzoxoB9swB6wbV1hf5Bun1EZ7S6A+EGdDjBB039BwlhBjpBoXyb/kYDdT1ad+F1jP2EPC4F985HydxE9nKqPFsFZT0S90xrygUBRzcJKGvk+MT+a3qMRkP45UavimH8kPn2gKm50DuawulBNjwIyF9w2TpPv5Y5nTl5eshFEQHw+Zd8oTm2Po5BxoJziQyEqT60BQkIPPrhQRO+YwTSQfk/Kfp3/XlJvYXXfUV9/ru5McE9Tn/rVoHKdLZcPpsy0XtaQJq6UvwbiAmGxAVmMkZJIT0PPszE4UToijT8cX7rSFjAgcAjguL7Z8Skf+2EQzfaPUOtevXSB6XCP0DR9GaCxfzCAm58HBLYzAMAsAB1Bk8EuoLsuPW9gnbNhTJ83MM7dwIJOBBNAU1A6UaJ7wR7dcL3P4B3lkQqgAT5vn/u/5gDjDtf+83MRsTVNvp8OweKSQ91XzXfw2OMF/rUytTDBEUigw/BpnjJP0b8xrvfNa6E7ZDvvSRL3Ub6evj4OggH+ZE5TD9fBdFCEQZcfRBuqEV/O215sXvqvG83GHdchQZ9XXjnujn6O3s47hW5x4dBT3eAyj5SzeIxR7/0RSqGCwBJgEJyfDeSthz6uv0BxmHRE4SuBddvU0SOt8u44YpHguM3XTufhQ0BL8Y+wpP+cfnbiDPAhLlrRxuHJ3aSr9zDjn9Uh8kBuAY4P5/EOUEryL+/pnFHcxK8TETYBWP691OfPcSzFgBvd/2FggfQgFjFKP6MwSUFXXs5fhvLSoOy/IX3T4Icdv60MX9Hy5HE84fHgb2AI/sV/nI/vsFZw92DOzWqhI+F1LxLxXVGr8bjAZ8EIQNePA7IEPt6AmkDSbbZs+yKAwQ0Rt2GPwM5tYFGwPyEQdiAl4w6wBRDXf0twLH460ZGP3I5ofpnupDAS4ZqwU2ETDe+xbW4Xcfsx/aGxoHXuK575/XDA2D8RsYKAcB/q/mSuP/1FkGg+CCt8b67P+i4frqo/5E3DH+IRc27FTodQ+PCBYi3/5o8xMRBfik9tAMTAXjzc7AMAnC4lIkn6Qf5PoWySMwBIc20uu792orge1X7U73QiXZAIrtr/9WEQYT+g/LA7wuIB82/eUNPkadF1MNtg+iJFgzegB4+g7/5PjY79vy3dw+4vYHgu9hFlgPmAKUAC7k9Oy4KjYGetxnFHb+hC0XBhjeVtsEBK78EhF5ytfYsv4W8BjjqPQsUpMVr/WAGWZCcf3q9i/b9vPl9vnsYAsI6XciHPNy/1otTBh2/DDuPOgxESP9FCUXAhD90tIL+E7y/vmu5LsZ9eCoMsHveg4P/PkcMRWP7ZwoKOORJA4HsQTRA/fr5xWS/9UKrvaX3TcSPPbd2fD+hPPQ7tAHNcQPP7sbQRgI6P3Iyu5C+UPz9Ob//Ej1uhd8Gjv2AfzoC+oHnkLSGcUEEyCfFxPt4xp7IEPrsC5ODM3cd0YKMIwRUQFDEA/48CF7/7kbSg5H9qcsl/Nb0WAZUiC+6mnyafYuBDH/8hT+TI8KUNmPF8YdztWc9T8ZEPKuDfDb2+wqDoEZn8bM4pe/qVIz3oz3+ggmPov4bdqsDDHaKv66Ap0cFiA45GAe1wsTI8rpbwKOOJrlw/DZ3k7qiO+tArTrzfo+2eAny/Q4ATf++toZ2z4OgDii+4jRWQpA/voCPfxP/63SECWr/87mKtsI55vuqfEs+9IOB96sGtXTDAdRFBIQgegDBocDFgdfBP0FpA3MHcEJ1gEi95kniATs4u/jzuou6t7sAuVT+mwNrdq/B1QGMdTrEf4wSAJvG4tHAu04Gh3i7Ahe+tgUSBpH7GwNHtgV4Nrams5kFxj48BZ6EqIQoxbRxvzzxghhEtHnIuZH6+rrsu7DDyD63BQk7mn2rBDgAJTtNAsa72TQC/FxDUkNXwfu77ExV/PP6JgO3fi6B8EfAe1E6ygOENNP1D4b09hG6eE+WNW+GkEP9+oDIOvtkPzi8aj9L+Xt0fI8ment41n+bQNC+0UtdRT6Cmjvd+NGJdUPRTETHf7wdBlkGLnTGAb9A5cIr+yhPW7qAwtAGYMuzwVhFrYPDSlK4lP8D9bH/FAfUA3uFjj0TCcKAV8SHu2AsDbuvfgZ+D8YggooL+kfZ/8W6WveOPHX9vkFuukeQCO6+wd45xwzZxoLBGLNFw/nAabPXuZVzrwakQiqA33upOoU8r3vbBBF+h8O1+oBC38Zlq/17q/jaeNvC2EdKgDv0Bbvwfgd/nb6lTT//hX3dSC/3kAz2xIx3SNFLCMeCIvSmva4EwIMx9rIKTQt27X24CL39EJsIGUYhhr+5qjU1xJg6yXxGqY03dUIsUKjKO8K+BipD2rvWuuG4+wUj9O5D50MeBd45ZbuKfwcAFwayBDb6Xn3fc2I/NXvae8z/6EpB8TT37syVfCrBu3Wo/W5+5v9o9x1xEMSk+1T4QHnKRdM+/EBahxR9OAFIvOR9jv2Gg2V6YIWQhMH+iQxOQr7DBYwATAy7CgbA++a724NvPPUHVgoguF7+18hLPGuABHTwO2BG1gaOf6WIiXRFiATA+jobAn10J0KZvQrARcHpvBDI5ngghGZ6L/dBdRF4fQixhx7+VTsAw/tChHIEUvM8EjvS9EX3YP9Rwy8ImEQTgaMp0j8uvtM6bEHSQdAMTLpHQfhHF8uJBN+7e8hVuCDAeL/mCazr6Xixv1e5uAO/M2QD/fjejHPABv0ceDPC+MJbDSf+SS2Ruh71wIRyAx95snAQQy9/VckGh9fxkoR7g30xL/thBfU3FQup7ZBBjsV/gmsDf8C+ikeMdgB4AsVxB02djuzGmXxiBWe5P/wuMed8RESD/S/IP8AAeXIBa7cKPVa1j8SyQAA6Grs+D4XEw8rnd9s6DUg4u68IQvDWfIxAabmlx5s7f3edOYUJzgppBJxDEMxkv92BivYsh6IL5ATr9d8/6QeTg63/T44J/kJsyf5Pji3/U4OpB58/6/XkBOIL7IeK9h2BpL/QzFxDKQSOCkUJ3Tm/d5s7ZcepuYxAVnyC8O8IeLuNSBs6J3fDysXE/g+auwA6MkAPxJa1ij1rtzIBQHl/wC/IA/0ERKd8bjH//Ce5IgVZfGzGnY7HTYVxOAL2AEeMfop/wKsDf4JOxVBBqe2VC7U3IQXv+30xO4NShFfxhofVyS9/UEMycB95sgMAhF710boJLaf+Ww04wnPC3HgG/TPAHox9+OQD/zN4A5e5sb9peKzr5gm4v+DAVbg7yF+7SQTXy7hHB0HMulAMUkHsQdM6br7SPyMp04GYRC8IkcMg/0X3UvRSO/M8BFLEcjtCgMPVOx7+cYc9CJF4QXUv92Z6IIRmeBDI6bwFwcrAWb0nQr10GwJ6OgTAxYgJdGWIjn+WBqBG8DtEdOuACzxXyF7+4LhWCjUHbzzbg2a7wPvKBsy7AEwFjD7DDkKJDEH+kITghaV6RoNO/aR9iLz4AVR9Goc8QFM+ykXAedT4ZPtQxJ1xKPcm/25+6P17darBlXwuzLT3wfEoSkz/2nv1e+I/H3Neffb6cgQXBocACn8lu545XgXnQy5D4/T7BSG41rrau+pD/gY7wqjKLFC1Qg03RqmJfFg69cSqNT+5oYaZRhsIPRCIvf24Nu1NC3IKcfaAgy4E5r2i9IeCCwjI0Ux3dsSQDO/3nUgFff//pU0dvod/sH4Fu/v0CoAYR1vC2njr+P17pavfxkBC9fqHw5F+mwQve8U8qTqfe6qA5EIvBpVzl7mps/nARcPYs0LBGcaHDN45/sHI7oeQLrp+QXX9jjxa94W6Wf/6R8oL4IKPxgZ+L34Nu6AsB7tXxIKAUwnOPTuFlANUB/H/A/WU/xK4g0ptg9hFs8Fgy5AGQMLbuqhPa/slwj9AxgGudNkGHQZ/vATHUUx1Q9GJXfjaO/6CnUURS1C+20DWf7t45np8jzt0S/lqP3i8ZD86+0DIPfqQQ++GljV4T5G6dPYPhtP1BDTKA5E6wHtwR+6B934mA7P6FfzsTHu718HSQ1xDQvxZNAa7zQLlO3gAKwQafYk7twUIPrDD7Lu6utH6yLm0edhEsYI/PPRxqMWohB6EvAWGPhkF5rO2toV4B7YbA1H7Ega2BRe+uwIHeI4GgLti0dvG0gC/jDrETHUVAa/B63abA1T+gLl3uwu6s7q7+Ps4ogEmSci99YBwQnMHaQN/QVfBBYHhwMDBoHoEhBRFAwH1dOsGgfe0g4s+6nxm+4I5yrbzuar/xAlrdJP/z38+gJA/lkKiNGi+4A4Pg4Z2/raN/44Acv04Cc+2c36tOutAojvTurZ3sPwmuWOOG8CyukTI9cLYB445BYgnRy6Air+MdqsDG3ai/gmPvoIjPcz3qlSl7/M4p/GgRkqDtvs8NuuDRDyPxmc9c7Vxh2PF1DZjwr+TPIUMf8uBGn2afK+6lIgYBlb0ZfzpyxH9koOuRt7//AhD/hDEFEBjBEKMHdGzdxODLAuQ+t7IOMaE+2fFxMgxQTSGZ5C6gfoCwH8O/Z8GroXSPX//PTmQ/NC+cru/cgI6EEYuxsPPzXE0AfQ7oTz8P7d2Tz2NxKX3a721QqS/+cV9+vRA7EEDgeRJCjjnCiP7TEV+RwP/HoOwe+oMvXguxmu5P75TvIL+NLSEP0XAhQlI/0xETzoMO52/EwYWi1y/xzzdyII6WAL+ezl9vbzL9vq9nH9ZkKAGa/1kxUsUqj0GOMW8LL+19h5yhIRrvwEBFbbGN4XBoQtdv5nFHrcNga4KvTsLuSUAJgCWA9hFoLv9gc+4t3c2/LY7+T4Dv94+noAWDOiJLYPUw2dFz5G5Q02/SAfvC7LA/oPBhNWEa//iu3ZAEIlTvdX7YHtaiu799LrhzYwBMkj+hYf5J+kUiTC4jAJzsDjzUwF0Ayk9gX4ExFo89/+FiKPCHUPVOg27CEXMf5E3KP++uqi4ez/xvqCt4PgWQb/1Erjr+YB/igHGxiD8QwNn9e5717iGgfaG7Mfdx/W4fsWMN42EasFLhlDAZ7qh+nI5hj9rRnH47cCd/RRDesAXjBiAhEHA/IFG+bW/Ax2GNEbDBCyKGbPJtukDegJQ+07IHjwhA18EIwGvxvVGi8VUvE+F6oS7NZ2DGcP+wXI/lf5j+z2AB4Gzh9HEx8uxf360HHbPggX3cvyKg5vLeX4deyUFTMEo/pjFEIBCB/2Fr3fWAESzHz33U6P62AVMRNK8R3MmcX+/q8i5QR/EOD+4BgkBlIfOf1zDkq/ndpuHK0cEuXPAm4gx+dP+fsKvxg0BH4UdO6M3R4Lhiku4zrfTRJdvbgXThKHRAcZ6/Rz6krY8N4JySYBLAGqGNEUHv+IxUs3KPneAwU9Hh1W5+O47ezn6J7odeMZ9XIUYd283Krxxe+15vztoRVBunH0RBlFCHwXMP1E5R/m6CDj4OnrdRuRL770tkO6E3zWGu8b8yT9meM/BooMERRTDFMrX+uOMH8NfNc91Skk7B7p8FTbGxM3MX/vMO1gDrv++f8T5qoAWRAB3tz+1wsR7Se8pRo1AzQF4EEIJO3ccwzJ8zYUCdvW9rLj6gs8EtQZwAEMAmMwcEu58AgJF/OaC0fR/QOXCEge69cOtWj1DN+2EZH/nxKL7Y4LBwBjAq0hxfvT8aIohRMzEzz7hPQZJJjJEBUmG24gS/Bq6WkCRe1sy3D60tkHKa1aOf8E9dYmnNVJ4SQG7OtIDE75bQv4Dbb4Hvl7+n0OdvHp2NEqdgZAJPoEp/OY3s3JkfL3IKoQnzLFDpnrZfSyEHkV2TUcGW8bCemvNOkAt+ytMIEUFeKA3/cNl+GvDoP+/ARlHSkElhubHrH46PhT6Q4oAPU/CgK4geBWCffkBy19AL4xww2hwEjkXTFBDJ7jLAUpD3wKXA1zp0fslQ9lMGPjYQSP9tzksi40DcPrZ8NAvoMgHvVG86APZe6x1nXNEdMvGNQhSR+bDzDRNRCvCUAOi/Fg/GQBM8uEEyME7ChA4DQTTO5g3unJFkGvFogCdxSr9Ij8mwqMACTAQCIj3eriPRMJ0rj1bBMB67EznxIw6vIMW+gS7LP2ig4WFOI6fjBoBffRif2L/bLl9iIKDpsNuQTC9ZEkYRhIBvECVRLyHN7MlxlW42fjNRDVEZZUy/fV/KoSoPkixSAbtBtH31Ias/V9+9wSUelo/cjiXweSySEL+fzIEpIs5SSROKrdsyQG4wrVsOamApcfGvdp+N3+txB1E6nlFAQ/B5UolfYZIBfyiOhvAxjxAgLT7gAOowYpJ5gtRDjeICbzk+Eu/oDz4gdS71gPbRqSHn4NTS1OD8fqLekQ4Cv9vP6bGzTsGwc53prV4wJQBlMgdQ8j8SD9SthLDrEJlRto+H8ThwLMCYv3yvgg64oJ8yxQKeLTkylbEGUvcspeA6ElVeD43pQCdPTw+1PesAiT6+b2wQ8BG+UQnBit48LKS/73+eowuNLB8ycBBCYZJcoKCwRaAXPdai940dq8//QCHWH+NgRC87E4TN4fHA5MPgAQAuIijthoHAbleaJpJYYHg/Y95tDsseBC9p0ZZwUG5/YTXgbG9eg9swBb5yX/hwPkGcXVYhQD6Ov4Lgqg3MnPMtC37+n8OB7q39AK3xYSEA/QwyRX51oMd/slE0zqQQN1/Qamx+8BLOH2hQBzC1XByO9TAj8eoyB79rDyJRJIEMT9hjQiwVPwFxXvBRLflumJ7bX7i+NX6goGvN++6vcXlAbS9bX0+e8O/pv81BoJOpbwdgZbzyfsmOkgLkwMMxHpKE/rOB/R2B7fpdJ21EwFIfA15kATqMYsqZkBX/6g/57Zae4i4y7O4fgE/4Dxhvzf/9nfQikID+vdPv9Z1QkQyAXgAgUKkChlBJQRryHkI6gURiyy9OchP9lF7H3lUhh62toZId4J8YTjCtuXEZD0juh4wLnfNOXu7S0huSLR5lrzTfMHERfCwitPA9L3PgMx+X7z+iFo5kMMsP0Nphb+gwsO6w4G8yCK2uz8sCjm1GoQjsLJvU/sQwhk24UQ5SBB6LodN+fD0pzxkxJ/2Hkvi+Yu9h4NExZcGqbR1SF1HZEzLs93/DLjpeadLln7vT2I7fs2ZQiaC/UKEw6HI2mzKAnB0gj/ivFl3YIoaPaUJEvx1+RXFF/c5MZZCqPYgg60Ue0MYjMrsSwVyM8eENMe1jOYA071pSZ9CxMJAQCe/fnyZRtj2G8QOPZNCkzkxOVuF9QfPSCQzxIUTeUVBnsZdBEq4IIfbuH++djrICeHLPHdot243qL1IDc6GI8mjs3B2pIhjPsI2DnM3ueEBSXmO9rp0WgbqufaBJH8nPH+EqXqRdrFApnd7V9RGmMEou/r72cIuvdTAtzkwe5c1SEpihZZ+lwRDMme2ckItwIMJCbxEhRU+irv0QLbCObdahygC33rUfpx2Yn75fOk55ALTAFFGpD9yfaUI+ve6v0NzAsCutoqysTjmtgjzCsRVB7J7lLk6iWVH7L1SO4q+Fwe/Om88nXwSvOh6e4nt+vRBXM/4RWb6tMOWzfJ6dX6wQ7PHSD8wCXc+nbx4eQpEa7qy/OcB3IHtu8f/GvV8PWc8Bj1rvTC7zkQCwKvydH0lgr7SZ4E6PRE2bsPYPoD3KL4jB8WyDXtp+KU2lnYeSQ/AuccCOAwNV/DCfRP4CAMH+iGEXEhx/OCAfQ/bNsE918KJ9m2Av7l+vz04CnzPRv526QBjyFDB9Pge/7C/yTgqALC6tHK5ABh+JwEzPGrAi/sQONUNrvTXfkYDYmuNxeZM0EFUMK6+gscyAnt5PYDl7880dz1cvftJ9wDgB+GD4wXtvKN4kLSSkBoAsv6L/qtF6IHf/AwCeMZqOqjBknrQg4F7UHyyewuH4LXIhEiAmcMM+O68vYP70t2R+EEUfluz2Q1ZvIGAkH88kwy8svMZgHa5R3qf/5o+p0PXwn54PkF0v8A5rPaVfpqDEkHfhN966AXeiy6FX/9HCivDynnowPy8b/1b9+szgcFM9Lo00/z58rsCjbjrRHX22DomS2jB+IBribeNdXtAvZs6ssnuDDyD0MB0gjm0jHjHQEnDQoxaOnKBJDrrQoW8hz4Fv2u7Z7zGh4WAprcF/0BRKHtuvrdFHMYbO5eGj8Fdfa2HI7wFexfJXXvFNv0/HXtbhN3Bm387gM+EusGwLmsLX/P0cPc9X4E5Bws+SPsWB2aFIvlOt12BQHjaPTR60IpOQo80MnZLubQxB3dqPYwrjXdlPn26vLd5TMN5xv6pe7p7bkK9BtN8gQFDAP2INvyuOrqCMsBxTTT4iQ9fBsSO+PUmfxdGv8i2eIs3mL8GBGf6lzorMt2Br/qi/Bc62Hb/vhr7TsdAACTAr7rfhuHELT9tBe37lHnifVwDeTvWhfJAQr6/9+xAqsgV8WUTNveLB+62d3jBxhFB6INJd2iDUUHBxjd47rZLB/b3pRMV8WrILEC/98K+skBWhfk73ANifVR57futBe0/YcQfhu+65MCAAA7HWvt/vhh21zri/C/6nYGrMtc6J/qGBFi/Cze2eL/Il0amfzj1BI7fBskPdPixTTLAeoIuOrb8vYgDAMEBU3y9Bu5Cuntpe4b+g3n5TPy3fbqlPk13TCuqPYd3dDELubJ2TzQOQpCKdHraPQB43YFOt2L5ZoUWB0j7Cz55Bx+BNz10cN/z6wtwLnrBj4S7gNt/HcGbhN17fT8FNt1718lFeyO8LYcdfY/BV4abO5zGN0Uuvqh7QFEF/2a3BYCGh6e867tFv0c+BbyrQqQ68oEaOkKMScNHQEx4+bS0ghDAfIPuDDLJ2zqAvbV7d41ribiAaMHmS1g6NfbrRE24+wK58pP8+jTM9IHBazOb9+/9fLxowMp568PHCh//boVeiygF33rfhNJB2oMVfqz2gDm0v/5BfngXwmdD2j6f/4d6trlZgHLzDLy8kxB/AYCZvJkNW7PUfnhBHZH70v2D7ryM+NnDCICIhGC1y4fyexB8gXtQg5J66MGqOrjGTAJf/CiB60XL/rL+mgCSkBC0o3itvKMF4YPgB/cA+0ncvfc9TzRl7/2A+3kyAkLHLr6UMJBBZkzNxeJrhgNXfm701Q2QOMv7KsCzPGcBGH45ADRysLqqAIk4ML/e/7T4EMHjyGkAfnbPRsp8/Tg+vz+5bYCJ9lfCgT3bNv0P4IBx/NxIYYRH+ggDE/gCfRfwzA1CODnHD8CeSRZ2JTap+I17RbIjB+i+APcYPq7D0TZ6PSeBPtJlgrR9K/JCwI5EMLvrvQY9Zzw8PVr1R/8tu9yB5wHy/Ou6ikR4eR28dz6wCUg/M8dwQ7V+snpWzfTDpvq4RVzP9EFt+vuJ6HpSvN18Lzy/OlcHir4SO6y9ZUf6iVS5MnuVB4rESPMmtjE4yrKutoLAg3M6v3r3pQjyfaQ/UUaTAGQC6Tn5fOJ+3HZUfp966ALahzm3dsI0QIq71T6EhQm8QwktwLJCJ7ZDMlcEVn6ihYhKVzVwe7c5FMCuvdnCOvvou9jBFEa7V+Z3cUCRdql6v4SnPGR/NoEqudoG+nRO9ol5oQF3uc5zAjYjPuSIcHajs2PJjoYIDei9bjeot3x3YcsICfY6/75buGCHyrgdBF7GRUGTeUSFJDPPSDUH24XxOVM5E0KOPZvEGPYZRv58p79AQATCX0LpSZO9ZgD1jPTHh4QyM8sFSuxYjPtDLRRgg6j2FkK5MZf3FcU1+RL8ZQkaPaCKGXdivEI/8HSKAlps4cjEw71CpoLZQj7NojtvT1Z+50upeYy43f8Ls+RM3Ud1SGm0VwaExYeDS72i+Z5L3/YkxKc8cPSN+e6HUHo5SCFEGTbQwhP7Mm9jsJqEObUsCjs/Ira8yAOBg7rgwsW/g2msP1DDGjm+iF+8zH5PgPS908DwisXwgcRTfNa89HmuSItIe7tNOW533jAjuiQ9JcRCtuE4wnxId7aGXraUhh95UXsP9nnIbL0RiyoFOQjryGUEWUEkCgFCuACyAUJEFnVPv/r3QgPQinZ39//hvyA8QT/4fguziLjae6e2aD/X/6ZASypqMZAEzXmIfBMBXbUpdIe39HYOB9P6+koMxFMDCAumOkn7FvPdgaW8Ak61Bqb/A7++e+19NL1lAb3F77qvN8KBlfqi+O1+4ntlukS3+8FFxVT8CLBhjTE/UgQJRKw8nv2oyA/HlMCyO9VwXMLhQDh9gEsx+8GpnX9QQNM6iUTd/taDFfnwyQP0BIQ3xbQCurfOB7p/LfvMtDJz6DcLgrr+APoYhTF1eQZhwMl/1vnswDoPcb1Xgb2EwbnZwWdGUL2seDQ7D3mg/aGB2kleaIG5WgcjtjiIhACPgAOTB8cTN6xOELzNgRh/gId//TavHjRai9z3VoBCwTKChklBCYnAcHzuNLqMPf5S/7Cyq3jnBjlEAEbwQ/m9pPrsAhT3vD7dPSUAvjeVeChJV4DcsplL1sQkyni01Ap8yyKCSDryviL98wJhwJ/E2j4lRuxCUsOStgg/SPxdQ9TIFAG4wKa1TneGwc07JsbvP4r/RDgLenH6k4PTS1+DZIebRpYD1Lv4geA8y7+k+Em894gRDiYLSknowYADtPuAgIY8W8DiOgX8hkglfaVKD8HFASp5XUTtxDd/mn4GveXH6YCsOYK1QbjsySq3ZE45SSSLMgS+fwhC5LJXwfI4mj9UencEn37s/VSGkfftBsgGyLFoPmqEtX8y/eWVNURNRBn41bjlxnezPIcVRLxAkgGYRiRJML1uQSbDQoO9iKy5Yv9if330WgFfjDiOhYUig6z9hLsW+jyDDDqnxKxMwHrbBO49QnSPRPq4iPdQCIkwIwAmwqI/Kv0dxSIAq8WFkHpyWDeTO40E0Dg7CgjBIQTM8tkAWD8i/FADq8JNRAw0ZsPSR/UIS8YEdN1zbHWZe6gD0bzHvWDIEC+Z8PD6zQNsi7c5I/2YQRj42UwlQ9H7HOnXA18CikPLAWe40EMXTFI5KHAww2+MX0ABy335FYJgeACuD8KAPUOKFPp6Pix+JselhspBGUd/ASD/q8Ol+H3DYDfFeKBFK0wt+zpAK80CelvGxwZ2TV5FbIQZfSZ68UOnzKqEPcgkfLNyZjep/P6BEAkdgbRKunYdvF9Dnv6Hvm2+PgNbQtO+UgM7OskBknhnNW/CB3BLfxhCwEFiA5YFesHQ+tGxpAmnKzgFg0MBbIe+lQDSw6iCxkF2/wy/UP9gc+D6anu6PCIBpoYbvQZ/lL3qd/6BnsfKSH666EYSEWFBLXl5v8mukHnjORX7ij671PL77UdYw2OBsTlms8SM/sD9Mud86zufPUcB6gjZkI0MtnLYq7+CiANEQ0b6l3WQwBZ+sPn4tM1yjzx5uCVC0HQSBkoA6b/Qh3B3BXxnQBQ7tbtlRx0EuXuTiQwvGHdxPQM/7/zhuO2/tYGgiafFLzSRBGaFQYJixFxLZHpRxUR9Vzn6et5GIYbnjxLIvnbIQsazcDbjuJjCt82gxPYKQDNdAafybwPeOQJKCgGoAaXDAnzhvMV/eP59v6EH4M2Rysb+m8CMP++AYH0se/+6gMMrxZjF/XbEiU1Kt0UZtUbH28G5QmPxKzm5g48Ko0P1Klt4mUYGNnb0Az9dfOE7BYIUA/y5jX1xBNILHMcGxp6AnsIq8pvFJ8Z3zau4dsiESe9CJ7vpmFbKWCzTzjiDKHLcQBw8xj6WgmCK2/hdQxd4I/ftgxZ3cUnJvfrCEwvRAbD8kIHchRO5P3/1vA84HDiw+0FCmv7sg2YBsYo0AM5BnMZYgoJ9jX8pAbiA2MgYt/8/LMIIhjoHFgLAtGzLKUcECAZJVcXa+1FFs0CQfqRJ3IAfCDME4rJM+f10Cz1PtLK2AsLJe5IGtrhehuHBPvSKh+WL7rMhCpRL4bo/QX/5Eb2mN3Q8Wbm9+DOAPvqw6yPB+jiFRT+BWzZ2wPA0WHgDNLBJ430k+O98K3PDOwZEDsEwgdD20frVRvKIg85weBE/+cBmvdo3dT72QWmE00MBOw/H4/tv/5TCeoGBOR2J20WaA1aE0kBfyGh9VjehQ0cBfDIv+AR/tTMxyk75h4Y1AFA/FQoTeVmDG7vuu+n+7Dtq/FmQlv/mt3F3hPMmvEB49z2h/296mjZlE9YBD36ozg18AUUHek8Dl3/hjRuI5s1Juu46uPvHhFvBeP855rVzBEFKMTHGNfY/h0SHLXizPfK/2nU7+5//iEWV+c3+PSlaytfGYkeFDQWDmrvNSd2/XjhPgKV4qAO7QLqQDb6utS/PLrJtvb1C+re+z9x9833uR7e86oBdfI7D6z3jgIM8slCCQjT8K/egAzeDgMIegDTCIHhMQNhEH/8mgVEBxHXSiDeCo7t7/wH1x0IhRuCD2v/UszW/GsfTPqP/wMOQhXkGbQRZyGWEO8mnvrm9TEMlxGkFFzJ68rKDogGFxKvMLsZsAor7gYaWb4msyfq0/0ZCaoEaObSG0fuYuXW9NPtuRCK/3TR1/miRswG5fCdGT/6U+ym2oheQAPYEnzPPBUlLg0JYu88KeMx4rkVDOgMcECv9DL7neQf/ivzUuaFH08xwRVkM+rjuNTeB5YbYrQfFQ78gfTh6IT3uvwjEkr7utiOE48oFfu1+SPSPSWb+QMOkOMk5GMUSwR491lAqAxG5UktXgnC6TMt5x3nCCYMNfIADQkl5/nq/UDz4jUt5YbHEdA7CvPaRQzVARcf4hh62K/sL/T1ETX+FRyyHg8SxgfPEH3ucAVLGJb0DQvfEa37iyDzKJwP/wwK94sG7Pap5jcC6trm9aj55OXv8HDayC22BHgLGPN0BI8GROGuB1/tdL37IetT1S+dsjgcUTg+y14UzPV43/Qr6RKBLI7SWfSCORvuKAJd4eXOqDZr4FIknMfmN78QjAdOIKL1dCsQCWb3C/l56OXzVumq/frxRzbj9nI0f+Y7ENI86hEy+FkT4grZE1YF4SAVOGcKwt0u1o0GW9zcOG/suBDqH1HipQFi+uQCwdxSLOTAwhZDEb7gqxOI9C36zO3X3W8QgAb+GboVcsZ88hgFFiGY9Er1Hv99AFUOKR6KIhMYJOho193Rjj7P1MkUurOx+cQcH+7b+4cH1/Eh7Gv2pv+9KSIiLCRCBdIQvvSV8K0DBeTHBYfyswp9PaskD+eaH2cVYvD4/gbTANHW77zhwfmp+602cPEM6lb9WlGYHisZpiFCE/r6SPqq8WMeVCa3D5kkYVb0FqMkZccyEyH/SDByEj4CoBGo/0wez+S/6MsAofkBAaEDnPYo76sZKv3nSIXyegA7/uDy2d88Ne0E2e4IMlf2Nc0YAo3bB/ke4wnfUuxK3848cynQGOQaRv1v3C8+WfpqzTPp/POj078VifBu3CHbfBFq7Ib13tnIJ0LU4ticOujWVRsXD7sWJtZTBqoyBhTjCJc2oQP5A2sK7NauFKHxav3KD/H3y9LuIHUOuhP0/jsMOhKTFDI8BL4Q+5z+iATY/FX/LsvJARMLWyK347kDiPwrBcz4GB+ANqTamfqJM48At/TmF6IClvlMChrtNB6B87cF3zHY4YDtYtswGw8CQBf8DEv5wRA39t0mvQ4EBb8T6fZc383qvfYzPNEbZw8b/HLtMhrKHgG6UuNN6mvPZve16kEEiuLBBg4yIN+D3ErcD/n6Di0S+gmh/WL6TcqF6r8UUbt3NEwDyzEN1s/uvBfjAGTzAiXrNc7U/Nur2qHQkPMkG4rRjgRHuxnq4w8+FQ7p1yyABk/uy/J7Bij+3hKlGtbuuPGuLAPlIA4T/ZX9DdrvMUYNqhYO46rIVeR2GTQ+fgda/UYPEuNg8lv1yhxE+JQ+Gxe650f5bTzaLY8QH+6lB5PdVcNm63kMrSSO3ikaZdESKmEN6d9i+XLqYvnp32ENEipl0Skajt6tJHkMZutVw5PdpQcf7o8Q2i1tPEf5uucbF5Q+RPjKHFv1YPIS40YPWv1+BzQ+dhlV5KrIDuOqFkYN7zEN2pX9E/0gDgPlriy48dbupRreEij+ewbL8k/ugAbXLA7pPhXjDxnqR7uOBIrRJBuQ86HQq9r8287U6zUCJWTz4wC8F8/uDdbLMUwDdzRRu78UhepNymL6of36CS0S+g4P+Urcg9wg3w4ywQaK4kEEtepm92vPTepS4wG6yh4yGnLtG/xnD9EbMzy99s3qXN/p9r8TBAW9Dt0mN/bBEEv5/AxAFw8CMBti24Dt2OHfMbcFgfM0HhrtTAqW+aIC5he39I8AiTOZ+qTagDYYH8z4KwWI/LkDt+NbIhMLyQEuy1X/2PyIBJz+EPsEvjI8kxQ6EjsM9P66E3UO7iDL0vH3yg9q/aHxrhTs1msK+QOhA5c24wgGFKoyUwYm1rsWFw9VG+jWnDri2ELUyCfe2Yb1aux8ESHbbtyJ8L8Vo9P88zPpas1Z+i8+b9xG/eQa0BhzKc48St9S7AnfHuMH+Y3bGAI1zVf2CDLZ7u0EPDXZ3+DyO/56AIXy50gq/asZKO+c9qEDAQGh+csAv+jP5EweqP+gET4CchJIMCH/MhNlx6Mk9BZhVpkktw9UJmMeqvFI+vr6QhOmISsZmB5aUVb9DOpw8a02qfvB+bzh1u8A0QbT+P5i8GcVmh8P56skfT2zCofyxwUF5K0DlfC+9NIQQgUsJCIivSmm/2v2IezX8YcH2/sf7sQcsfm6s8kUz9SOPt3RaNck6BMYiiIpHlUOfQAe/0r1mPQWIRgFfPJyxroV/hmABm8Q193M7S36iPSrE77gQxHCFuTAUizB3OQCYvqlAVHi6h+4EG/s3Dhb3I0GLtbC3WcKFTjhIFYF2RPiClkTMvjqEdI8OxB/5nI04/ZHNvrxqv1W6eXzeegL+Wb3EAl0K6L1TiCMB78Q5jecx1Ika+CoNuXOXeEoAhvugjlZ9I7SgSzpEvQreN/M9V4UPstRODgcnbLVL+tT+yF0vV/trgdE4Y8GdAQY83gLtgTILXDa7/Dk5aj55vXq2jcCqebs9osGCvf/DJwP8yiLIK373xENC5b0SxhwBX3uzxDGBw8Ssh4VHDX+9REv9K/setjiGBcf1QFFDPPaOwoR0IbHLeXiNUDz6v3n+QklAA018iYM5wjnHTMtwuleCUktRuWoDFlAePdLBGMUJOSQ4wMOm/k9JSPStfkV+48ojhO62Er7IxK6/IT34eiB9A78HxVitJYb3ge41OrjZDPBFU8xhR9S5ivzH/6d5DL7r/RwQOgMFQziueMxPCli7w0JJS48FXzP2BJAA4heptpT7D/6nRnl8MwGokbX+XTRiv+5ENPt1vRi5Ufu0hto5qoEGQnT/SfqJrNZvgYaK+6wCrsZrzAXEogGyg7rylzJpBSXETEM5vWe+u8mlhBnIbQR5BlCFQMOj/9M+msf1vxSzGv/gg+FGx0IB9fv/I7t3gpKIBHXRAeaBX/8YRAxA4Hh0wh6AAMI3g6ADK/e0/AJCMlCDPKOAqz3Ow918qoB3vO5Hs33cff7P+re9Qu29rrJvzy61Db66kDtAqAOleI+Anjhdv01J2rvFg4UNIkeXxlrK/SlN/hX5yEWf/7v7mnUyv/M97XiEhz+HdfYxxgoxBEF1cznmuP8bwUeEePvuOom65s1biOGNF3/PA4d6QUUNfCjOD36WASUT2jZveqH/dz2AeOa8RPMxd6a3Vv/ZkKr8bDtp/u6727vZgxN5VQoQPzUAR4YO+bHKdTMEf6/4PDIHAWFDVjeofV/IUkBWhNoDW0WdicE5OoGUwm//o/tPx8E7E0MphPZBdT7aN2a9+cBRP/B4A85yiJVG0frQ9vCBzsEGRAM7K3PvfCT4430wScM0mHgwNHbA2zZ/gUVFOjijwfDrPvqzgD34Gbm0PGY3Ub2/+T9BYboUS+EKrrMli8qH/vShwR6G9rhSBol7gsLytg+0iz19dAz54rJzBN8IHIAkSdB+s0CRRZr7VcXGSUQIKUcsywC0VgL6BwiGLMI/Pxi32Mg4gOkBjX8CfZiCnMZOQbQA8YomAayDWv7BQrD7XDiPODW8P3/TuRyFEIHw/JEBkwv6wgm98UnWd22DI/fXeB1DG/hgitaCRj6cPNxAKHL4gxPOGCzWymmYZ7vvQgRJ9siruHfNp8ZbxSrynsIegIbGnMcSCzEEzX18uZQDxYIhOx18wz929AY2WUYbeLUqY0PPCrmDqzmj8TlCW8GGx9m1d0UNSoSJfXbYxevFgMM/uqx74H0vgEw/28CG/pHK4M2hB/2/uP5Ff2G8wnzlwygBigGCSh45LwPn8l0BgDN2CmDE982YwqO4sDbGs0hC/nbSyKePIYbeRjp61znEfVHFZHpcS2LEQYJmhVEEbzSnxSCJtYGtv6G47/zDP/E9GHdMLxOJOXudBKVHNbtUO6dABXxwdxCHab/KANIGUHQlQvm4DzxNcri08PnWfpDAF3WG+oRDSAN/gpirtnLNDJmQqgjHAd89azunfP0y/sDEjOaz8TljgZjDbUdy+/vUyj6V+6M5EHnJrrm/7XlhQRIRaEY+uspIXsf+gap31L3Gf5u9JoYiAbo8Knug+mBz0P9Mv3b/BkFogtLDlQDHvoFsg0M4BacrJAmRsZD6+sHWBWIDgEFYQst/B3BzfqX3TEngN3q7vAVPe2QLiYYadZT/t8eOjxpALINnyvFAK7sF+yjQQ4MpS8WHWn1N/T971IBQQlZ/Tr8Zubt7hcKbt8p47cCNN+J+eMRBwn0EBf/UhDZC3H8u9Cq5dbx190/MX8qivxJGWTIDw9wA0ITvfYp6PnsTgjgG8QmIQ91J+Xvf7G86g5GJgt03pUUGBVb19vyihSRVzBCBwJk/c7v6wdaDiQkvCgsLHb0PzBx1TryXw6kE3npuRhF4vr3L+aIATrlWEQQ/RYUfR0E52brUNRUE6f65glv5Er28vq3B90GAv1s/7cdtSb50XDMGx3t4SYwHje382YZ6cFoK3r4/fbGDOcCrxFcBugiSuwx2vvc/x38+NwNoCjV7SQUDgFqBAbf8Q3xRg8DvgJ6BMv4RjHg67PqcwZe/kYafL6fGrwIcin35V4kMdJQ+BPKGPjBBkYMYfd+BcoLfc+4zmX7IRYMAoAKbf2k3cUVY85V2Dzvsv5RAgMu4wwe7zsA4wyOCxfmY8mxEvQnaOnn1KD32+5YEPcI2d6x/TXgRfHbw7YPXBCw4m0VC/ElC1cKb9W2E+7dbOb6r+/xrccu/GMXUz01wCXpBhVE1d4LTBnqHU8VjQGy/C0Yqh9nCnbNfhRQKMg/gh0ZGqmzDRUZ7SvsYCjBAJYJUPpC5+r5VfoC7ZoQEhLdWDIGXTOrK5YAAc2YA3C8/OqCK8EXifyUBx7vfuU8NvwQ8QmA9kjpEDqOI6f97+XdHsHsKAwYxmDkk8+1BUfqUPgL9b8WAsSq0Ur17e5KFWntp/cY2f8Ex+JUDX/s8+Jb//rJWUdAA2f4/ALXAOm7iPmsvwQTfQQTMwnjcdm+MBb16exL4s4GBwOSK/fxbRRj/XcQdBF3DPXK+fo47rvl8h1e2IHv9+aX9DfhvyX171EgAs7O5eD+PhD3x73oNBVuNkMBXS7nz9Ud/gYv24IJl9LXAlD9UR/+xpYISB+LvvELv/XK7Jz6miz7EQ/PDwUJ9LLZzRbW5SkZVhQT9RsUPvhYD9feNwJH0v0awdAw9J7CsyQQ/y0SniKXJOnMZB+n6kMZmgqG5goc8SUf6r8Eo9aIEbH+UQ8Q/kbtABOr1i4MfvX24h8D1CTmIL/UEseoA0xLSAxwztgVlBob+QoCMBY7Fr735//3DTgAUvyxznjsR/pf7PLzVvOER87Wdh4WE3EA+x1tFCv4pxQsCAX3VOuA/8Hwqhvv8injTxkC5uTxWtBiIQ4VoO9xIl41YRcA0jTwmfSCA/brGRp08lz9JR8/+9PjMuM0DtX4RxJYLhYdWSE8/2Eu+vH6u/zT3A9SESL/Ti3RGoEslv1R+3AyJt814RMQHCFb7CsNWtbtCHIEkDnkH7a0+Phj8lDaSgq18jjgg+VnGQEERSb22OgngwylAwMkVegBQlbpxvWZ4j8a/A498IDj8gZeKj8clusgDrQMkPrjzXIrVNtbDVniOh2QKpQfcwZm+GchsdxlG1iu4NDKGu/aDRKp8RH/aM6qNADl4vvCEKspTQaV6nlWYvRX2ZDaaQ0eGnEnuBkGGNvtBvxiKavwKQo0/D4bf+z8+zvlvMVfDd/YzCJ+1lwC1AuAyB37YeiaDRYmqSWv67HppRci42ExrAcL2zbAvhsbvMwAMgR6763b/Os+JfsrXfQUxoL4Z9LX8h0ObOBfDUrjpCxUPG3iGepvCwLyEP4V/8UFPg5y55UEvfIYAwLpLDsyGK3ZGdry0QM0Ffce9LQFSypbB8oReuZy7PbqovenAujj2xNMLUULCgE/7B39oQ1R2t0bKh654lsUr/2M/HPtmhK4FZ7gXyKu7yDnBRO9883jpwB+EPkYeh+r6tLLlyJD9jMJQSB2E+nOLQd+J0oe/AHvzn7YmxrT1p4xVgXsGyvogVZlCqsDm++k1lELaCar7mvkutp8LBEPgeqZG4MKeQmE9hcM6fMiJ6Lf+C8rEM7+kROn8vL2iuZpACj4BNbWFwHVoeZLCcUaOywgIJgHSAZA6gH3xihT/WL/ofVZFt0IAtSHDCoXMxIjH7Ad2uZK/V7/VT2z6c0SeRdk5VHy0fYB6Knh8/QF5y64uNND5RDz4vYx5fsDpB8lKgUai/Ux/g0dVOqWQMLERwEFGh0iGgpwBFkUnBp8IJAafBZFC6wNexeLDpn67yi0zvobWCLkPXUL/u9V1Kb0Tg2IwgAQHgMnKrXjricuK+8L8fIt8SIQmgaGJcIZivET4xTWjNsH8l//N6mb72Y7ccSbICIr+hKwEtLr7A+c90oBqv3OGe0akPrN+hLlKxoTKAYcPRD28Sf4C/26OaodbgT2BBH7DPnrBwLE2RwBCE4UtDL3Ex8vQRCOHqUMiNcnA6IqDwXuHtffTRZv9vUVMiP1zhD7fdsn8TsmYgE50/UGQP3d0Z7EDx2YMHEILOdVARcmHArlQibSaiv6FVc6bB2+IZw4jfM/7fQh7/nAH3YBX+KO6ZMwSBQeBj/+JvB5+8ISv+uIGSAKMw3sAYsW5Bi79RgXqxE3BtsVwOW7/NMSVw9xRjHvqftDMc3xpPMS4qcxDAXs/3PqkNZfOQDiykgVEIfPAASO9s+54/d169XSdMdoOKcOTvcO/MQI5vGc0SHm7c9w4OnwMgN44lIEQQE19e32lxQWEKX2LAct91ISMTSQ1a4IQfUE79AUJxhoIhn76t5yFkEreg1b6vXzgtUS38chFPAAM3f6tBt817Qbd/oAMxTwxyES34LV9fNb6noNQStyFureGftoIicY0BQE70H1rgiQ1TE0UhIt9ywHpfYWEJcU7fY19UEBUgR44jID6fBw4O3PIeac0ebxxAgO/E73pw5oOHTH1dJ16+P3z7mO9gAEh88VEMpIAOJfOZDWc+rs/wwFpzES4qTzzfFDMan7Me9xRlcP0xK7/MDl2xU3BqsRGBe79eQYixbsATMNIAqIGb/rwhJ5+ybwP/4eBkgUkzCO6V/idgHAH+/59CE/7Y3znDi+IWwdVzr6FWorJtLlQhwKFyZVASzncQiYMA8dnsTd0UD99QY502IBOyYn8X3bEPv1zjIj9RVv9k0W19/uHg8FoionA4jXpQyOHkEQHy/3E7QyThQBCNkcAsTrBwz5Efv2BG4Eqh26OQv9J/j28T0QBhwTKCsaEuXN+pD67RrOGar9SgGc9+wP0uuwEvoSIiubIHHEZjub7zepX/8H8ozbFNYT44rxwhmGJZoGIhAt8fHy7wsuK64nteMnKh4DABCIwk4NpvRV1P7vdQvkPVgi+hu0zu8omfqLDnsXrA1FC3wWkBp8IJwaWRRwBBoKHSIFGkcBwsSWQFTqDR0x/ov1BRolKqQf+wMx5eL2EPND5bjTLrgF5/P0qeEB6NH2UfJk5XkXzRKz6VU9Xv9K/drmsB0jHzMSKheHDALU3QhZFqH1Yv9T/cYoAfdA6kgGmAcgIDssxRpLCaHmAdXWFwTWKPhpAIrm8van8pETzv4rEPgvot8iJ+nzFwyE9nkJgwqZG4HqEQ98LLraa+Sr7mgmUQuk1pvvqwNlCoFWK+jsG1YFnjHT1psaftjvzvwBSh5+Jy0H6c52E0EgMwlD9pci0sur6nof+Rh+EKcAzeO98wUTIOeu718inuC4FZoSc+2M/K/9WxS54ioe3RtR2qENHf0/7AoBRQtMLdsT6OOnAqL39upy7HrmyhFbB0sqtAUe9BX3AzTy0RnardkyGCw7AukYA73ylQRy5z4OxQUV/xD+AvJvCxnqbeJUPKQsSuNfDWzgHQ7X8mfSgvgUxl30+ys+Jfzrrdt67zIEzAAbvL4bNsAL26wHYTEi46UXsemv66klFiaaDWHoHfuAyNQLXAJ+1swi39hfDbzFO+X8+3/sPhs0/CkKq/BiKQb82+0GGLgZcSceGmkNkNpX2WL0eVaV6k0GqynCEOL7AOWqNGjOEf+p8Q0S79rKGuDQWK5lG7HcZyFm+HMGlB+QKjodWeJbDVTbcivjzZD6tAwgDpbrPxxeKvIGgOM98PwOPxqZ4sb1VukBQlXoAySlA4MM6Cf22EUmAQRnGYPlOOC18koKUNpj8vj4trTkH5A5cgTtCFrWKw1b7BwhExA14SbfcDJR+5b9gSzRGk4tIv9SEdwP/NP6u/rxYS48/1khFh1YLkcS1fg0DjLj0+M/+yUfXP108hka9uuCA5n0NPAA0mEXXjVxIqDvDhViIVrQ5PEC5k8ZKePv8qobwfCA/1TrBfcsCKcUK/htFPsdcQAWE3YeztaER1bz8vNf7Ef6eOyxzlL8OAD3Def/vvc7FjAWCgIb+ZQa2BVwzkgMTEuoAxLHv9TmINQkHwP24n71Lgyr1gATRu0Q/lEPsf6IEaPWvwQf6vElChyG5poKQxmn6mQf6cyXJJ4iLRIQ/7MknsIw9MHQ/RpH0jcC195YDz74GxQT9VYUKRnW5c0WstkJ9A8FD8/7EZosnPrK7L/18QuLvkgflgj+xlEfUP3XApfSggkv2/4G1R3nz10uQwFuNjQVvej3xz4Q4P7O5QLOUSD1778lN+GX9Pfmge9e2PIdu+U47vn69cp3DHQRdxBj/W0U9/GSKwcDzgZL4unsFvW+MHHZCeMTM30EBBOsv4j56bvXAPwCZ/hAA1lH+slb//Pif+xUDcfi/wQY2af3ae1KFe3uSvWq0QLEvxYL9VD4R+q1BZPPYOQYxigMwezdHu/lp/2OIxA6SOmA9vEJ/BA8Nn7lHu+UB4n8wReCK/zqcLyYAwHNlgCrK10zMgbdWBISmhAC7VX66vlC51D6lgnBAGAoK+wZ7Q0VqbMZGoIdyD9QKH4Uds1nCqofLRiy/I0BTxXqHUwZ3gtE1QYVJek1wFM9Yxcu/K3H7/H6r2zm7t22E2/VVwolCwvxbRWw4lwQtg/bw0XxNeCx/dne9whYENvuoPfn1Gjp9CexEmPJF+aOC+MMOwAe7+MMAy5RArL+PO9V2GPOxRWk3W39gAoMAiEWZfu4zn3Pygt+BWH3RgzBBhj4E8pQ+DHSXiT35XIpvAifGny+Rhpe/nMGs+rg60Yxy/h6BL4CDwPxRvENBt9qBA4BJBTV7aAo3A38+P8d+9wx2krs6CJcBq8R5wLGDP32evhoK+nBZhm38x43JjDt4RsdcMz50bUmtx1s/wL93Qa3B/L6SvZv5OYJp/pUE1DUZusE530dFhQQ/VhEOuWIAS/m+vdF4rkYeemkE18OOvJx1T8wdvQsLLwoJCRaDusHzu9k/QcCMEKRV4oU2/Jb1xgVlRR03iYLDka86n+x5e91JyEPxCbgG04I+ewp6L32QhNwAw8PZMhJGYr8fyo/Mdfd1vGq5bvQcfzZC1IQF//0EAcJ4xGJ+TTftwIp427fFwrt7mbmOvxZ/UEJUgH97zf0afUWHaUvDgyjQRfsruzFAJ8rsg1pADo83x5T/mnWJhiQLj3t8BXq7oDdMSeX3a4Gn/DJFhXuTuOR+JsudOWIBtgqzd+p8RfWvuH175z8MPcqIOLAyMiZJGLZpg004r3S5xNZAgTk2+X9NLk4afsi/y8E7vTAA7YjbTr11On0mx7YKlsARuc0+5rdfRFJB2vFCgDvUgHoIAPH1PAR0v8A3cDpUgCu+CTU1OLm1Ew60vWfSHYBUBbx8wjp8/o1F7QlUEEW8z0zWwBg2tHksuxr+woce/M+E9n96wys/4P0DwwE+cv4/AFx0lwKJg33D8QA2ACp6WUGdQG93wL0KMIsCTkU8zpb4pnxMxEcDggbcjEaGLH/skay1fP9jww8wzrnc+Z3JqPrxQNC/GUv0d9N7p7Czx7b64kFRBcz8KcAx/C+BubqCuQn7MFGHfRM5nQHaPfDCFEdT+lTAwj5Pxl6NwAGwxZqGHI++SLuA/kkwfQ/6gwWzOFWNrTc1gm6+6X+fhxFVwH2AtbBIAP0YwSp8sfL1PqABYz5MwAXHwUaYeU88IDpF+j29Yn+M+8R94sCouwkNRT0cC/y+zzg0z0kEbgFKhCfDxboXAs6GIj0Fybr3crsQ/HTOZwd/ude4uUNHuLjAmj53h6LFE0V6wKZFuwHyCd9C70IRe5PGCMBgdRGGtLsyPX3Ir3wLO1pCzHlOSdABC703f1zAgTLhf8tFRQZUiQELA2/sf3R6cgnhCMV0TARozsb+hLzV9od/1q4EOSx17vrdxi4ODYE5+44//wEOyIy3xPcxBjME/wfR+RoD6/WUuuJC/b+EyyCBMX0yO87TxXzQti0B0rhDwcXCQTSd+SX/cnmpO1q42IwRB8P+xoIpCPMGU8VpwWRBi4H+hQNIx8rdg9F91USVvMQI+YgBt9DGNcfAccULmsGhgJ5xjrIX+M0LMH0KfK37qP3wexZ25UB+dw+IKDwxdJW9AMDBv+j+MPLmxWH1YkLTAlPpQn/oxvM8EHdXwN2ukHkOhz99Z0Jsi5r837kLCPcAkgdmPlj6U/7yglKAvz+xi9VGTsk905XIS/9bdbSGX+7TDyVBdEM+/n/G30PpNEgNFQHwy+cD3DcivkM7G1JMi5/GR0yVu389MXwGhpfzVIN+xj47NM8N+OkO8cZeyAaBefTrCaPHZ0BXgx8LSLE7NRHG/3TyAIfF948hB+6xN+c9f9cv8n2w/xg3FUWwxoW/5wkB++tC63379hSEYr6LefPArbbvh6B/AQFWwGA86gVvPAy2grrkyXZ1NgQeOiX9MLVk8zxNe3pvOsbwbPJyN7p3PgDaRE35SoYpvwGBSUOnQw+F2PjfSTl7tchIO4vqRXJigkz6ZosQuooAy0ZIQcfC+8JygjgFiwM1N1rEb/BlpsiAAz4jc6i4rPDZhTb+pPpI8kuFu0O9uJd5yYlBClgQqbxWS8q41YU4iQ/IHYPcgwp0m/pFtPNFzVDw+0bGSTcp/oZ94Hogeghz237P/2S4xbqOfJxHIT2CfAi+FAXwfd5BFHz8gF6ySjcwwxevhHuUPlAu8DvpxY09q8LHgJvBGnPgvmID8AFC/Ua8KsHGR/nN93dSBnqG/DifxWYwbrTkBUfPMH98xPc6u8bYAOfB1rw5PtaxrwPsQmU4CLvq+fp/R8ICf9/5W8Rse5i5nPPvwfnDCjlGfaLK88tCc+jCMUSzvtbJGLHfOUpB3dQtdF4NArhURVJBKj0KdlaBSgSCPGFAmgRZvsLKRy5Qdnx4j0pCPZm9n0QVQGg9045zwH9DanlMuvRAmC+8fvIH0LjjcDK0L8b3CFw9aq4fSjtAXEPACA7/4P9b+fjAXff/QKLCs7u5zvNExMpoNQxNYEJgePoCH7O/r5ABb02Xhw+/FQMmv02DnfkUgiMLSDRT+iLC9zlDd7Hz1cWTP4S5vc1aM0f/2rw1N4vGn8pOhX/DM0ARtQKB1wQ+vcG//HbLfYs4Vf2riA4/LzqzwlR++TYY9MbFQD2//yW1B4KMgqhKFf57Ma1/qn8KOMQIi8YLv6s/mOxWw2PNZzgsupl7xT3OwjP7YMUFSCcLGjvyP1E5aT2z/Uv83f3L/7X/0T+fQ0zOAsCzfYvASfZ3g9I/W8NzuEBCCUZpBm4A0YS1RA8JKD81N1FAb9KGQjoApznsCE6DTP1oCbg7IsB3OhWBAb2xca+8DoliT0JCQL7JRPhP2PH2fGCExIM7NZ/P2tTdeefAg/eY+dk5cIudORsBpjrBPXnwYYxJxWlEaPePO+A/9TcACkTCcT01wJX9BMQ2wBS8kv+3CfJOUn7juDVzvr1BgPkEIDzfAHG92rmvewJ/1kb0ANXEQHIIx0twSbkQf0RCk0KU+cI6arv8Oli0C4QssheHsTltPrL8w39vRfd4+Q/QuvRCqLdus8V6rzc970381nYag7uCj4AzB8d9bonkfuFGKHuWxpr82fZ6Pfv+DfpNB1tCdr/le3kBMPldCkFEdAMG/y2+whQc9ar+tjkswKQ1bs7lwDCCFgqWxto1CSupwlP9XHqkBXC4AcBKBSEALXSpggJ+5HjJRqI27H3pOWn7ogc4Siy9w/1+BOdBYsydwQ8uA8EwQxJJ9D7xN8Y1e8oofsBG+0SNCLcApEHiyvY8y44ONS36+gBXO1DFnTtPwJ8E5LrEAx4DOPFhgkuzPg7hfI4B6jwx/f2ICDvFu7i6tzsZwYn7yXZQ+wx4orSXwU+/Z7m+fr5L3Qe5P6jBOgmOglcAHY78/bSDJLrfwEB+uApfAxN/V4OLRFeDk39fAzgKQH6fwGS69IM8/Z2O1wAOgnoJqME5P50Hvkv+fqe5j79XwWK0jHiQ+wl2SfvZwbc7OLqFu4g7/Ygx/eo8DgHhfL4Oy7MhgnjxXgMEAyS63wTPwJ07UMWXO3oAbfrONQuONjziyuRB9wCNCLtEgEbofvvKBjVxN/Q+0knwQwPBDy4dwSLMp0F+BMP9bL34SiIHKfupOWx94jbJRqR4wn7pgi10oQAKBQHAcLgkBVx6k/1pwkkrmjUWxtYKsIIlwC7O5DVswLY5Kv6c9YIULb7G/zQDAURdCnD5eQEle3a/20JNB036e/46Pdn2WvzWxqh7oUYkfu6Jx31zB8+AO4Kag5Z2Dfz97283BXqus+i3dEKQuvkP93jvRcN/cvztPrE5V4essguEGLQ8Omq7wjpU+dNChEKQf0m5C3BIx0ByFcR0ANZGwn/vexq5sb3fAGA8+QQBgP69dXOjuBJ+8k53CdL/lLy2wATEFf01wLE9BMJACnU3ID/PO+j3qURJxWGMefBBPWY62wGdOTCLmTlY+cP3p8CdedrU38/7NYSDIIT2fFjx+E/JRMC+wkJiT06Jb7wxcYG9lYE3OiLAeDsoCYz9ToNsCGc5+gCGQi/SkUB1N2g/Dwk1RBGErgDpBklGQEIzuFvDUj93g8n2S8BzfYLAjM4fQ1E/tf/L/539y/zz/Wk9kTlyP1o75wsFSCDFM/tOwgU92Xvsuqc4I81Ww1jsaz+Lv4vGBAiKOOp/LX+7MZX+aEoMgoeCpbU//wA9hsVY9Pk2FH7zwm86jj8riBX9izhLfbx2wb/+vdcEAoHRtTNAP8MOhV/KS8a1N5q8B//aM33NRLmTP5XFsfPDd7c5YsLT+gg0YwtUgh35DYOmv1UDD78Xhy9NkAF/r5+zugIgeOBCTE1oNQTKc0T5zvO7osK/QJ33+MBb+eD/Tv/ACBxD+0BfSiquHD13CG/G8rQjcBC48gf8ftgvtECMuup5f0NzwFOOaD3VQF9EGb2CPY9KfHiQdkcuQspZvtoEYUCCPEoEloFKdmo9EkEURUK4Xg0tdF3UCkHfOVix1skzvvFEqMICc/PLYsrGfYo5ecMvwdzz2Lmse5vEX/lCf8fCOn9q+ci75TgsQm8D1rG5Pta8J8HYAPvG9zq8xPB/R88kBW605jBfxXw4uobSBnd3ec3GR+rBxrwC/XABYgPgvlpz28EHgKvCzT2pxbA70C7UPkR7l6+wwwo3HrJ8gFR83kEwfdQFyL4CfCE9nEcOfIW6pLjP/1t+yHPgeiB6Bn3p/ok3BsZw+01Q80XFtNv6SnScgx2Dz8g4iRWFCrjWS+m8WBCBCkmJV3n9uLtDi4WI8mT6dv6ZhSzw6Lijc4M+CIAlpu/wWsR1N0sDOAWygjvCR8LIQctGSgDQuqaLDPpigkVyS+pIO7XIeXufSRj4z4XnQwlDgYFpvwqGDflaRH4A+ncyN6zyRvBvOvt6fE1k8zC1Zf0eOjYENnUkyUK6zLavPCoFYDzWwEEBYH8vh62288CLeeK+lIR79it960LB++cJBb/wxpVFmDcw/zJ9ly/9f/fnLrEhB/ePB8XyAL900cb7NQixHwtXgydAY8drCbn0xoFeyDHGaQ7N+PTPPjs+xhSDV/NGhrF8Pz0Vu0dMn8ZMi5tSQzsivlw3JwPwy9UByA0pNF9D/8b+/nRDJUFTDx/u9IZbdYv/Vch9047JFUZxi/8/koCyglP+2PpmPlIHdwCLCN+5Gvzsi6dCf31OhxB5Ha6XwNB3czwoxsJ/0+lTAmJC4fVmxXDy6P4Bv8DA1b0xdKg8D4g+dyVAVnbweyj97fuKfLB9DQsX+M6yHnGhgJrBhQuAcfXH0MYBt/mIBAjVvNVEkX3dg8fKw0j+hQuB5EGpwVPFcwZpCMaCA/7RB9iMGrjpO3J5pf9d+QE0hcJDwdK4bQHQtgV8ztPyO/F9IIEEyz2/okLUuuv1mgPR+T8H8wTxBgT3DLfOyL8BDj/5+42BLg4dxi767HXEORauB3/V9oS8xv6ozswERXRhCPIJ9Hpsf0NvwQsUiQUGS0Vhf8Ey3MC3f0u9EAEOScx5WkLLO298PciyPXS7EYagdQjAU8YRe69CH0LyCfsB5kW6wJNFYsU3h5o+eMCHuLlDV7i/uecHdM5Q/HK7OvdFyaI9DoYXAsW6J8PKhC4BSQR0z084PL7cC8U9CQ1ouyLAhH3M++J/vb1F+iA6TzwYeUFGhcfMwCM+YAF1PrHy6nyYwQD9MEgAtYB9kVXfhyl/rr71gm03FY2zOEMFj/qwfT5JO4D+SJyPmoYwxYABno3PxkI+VMDT+lRHcMIaPd0B0zmHfTBRifsCuTm6r4Gx/CnADPwRBeJBdvrzx6ewk3u0d9lL0L8xQOj63cmc+Y65zzDjwzz/bLVskax/xoYcjEIGxwOMxGZ8Vvi8zo5FCwJKMIC9L3fdQFlBqnp2ADEAPcPJg1cCnHS/AHL+AT5DwyD9Kz/6wzZ/T4Te/MKHGv7suzR5GDaWwA9MxbzUEG0JTUX8/oI6fHzUBZ2AZ9I0vVMOubU1OIk1K74UgDA6QDd0v/wEcfUIAMB6O9SCgBrxUkHfRGa3TT7RudbANgqmx7p9PXUbTq2I8AD7vQvBCL/afu5OP002+UE5FkC5xO90jTipg1i2ZkkyMjiwCogMPec/PXvvuEX1qnxzd/YKogGdOWbLpH4TuMV7skWn/Aky3LmpPZwCpwCeRazr2zwZ/awzFX34CPK1McGBPmO5ejcO9T57GoZPBaK9vIiV+7F23Putw6b6agfVBBRADHOEPi52eDiSjJ/7JcLqQ+MErkClcNBBa7v1ebbCmzwmevO7pfxpww/2sr77eujESDvuQ55LoDS0wU08J3j/efL3n0YHgl8zWzyeNAQDLERU/ir6un03Oi3Dt8cXwVEC4f3egsxBejvQg5+9MsIBe8E77/78wPBBHEPyxWtxapRMyDCA3zoi+7E8FkAyRGcFbcYOepsBuAm5whz4lwHjicIHz74wTz4+ubn8RxQAVPiMyXvAjcKu+8S8FYg1R6xAQW73gnJ27LdewSfwQgR8RT333IJgBy1vMz3kdX3KhfQqQ6A2bXGshr8+jTxvEDh9G7K0vT2A9LioemSJaoh6vbv9JAWnP4wD2sBQvaM+z5G1g90DRXnB+n4+rDqCPZv0V/tPiPcKxgFxTLMIoD9lekjtJ0cYhsb6V4xLLvnBFfD0fpY/xXiPzTMGcz+PwqQwJ+6wP0QJTjc9vHA8d/hQOjFOjAhfQ4k43YrBMu1AwodWwMOB0Hb2wR8/1nOnw2AGVjEQQfuvztamw2OCp3nTB/e7cE5AyAn66kz7wZLBqjr/uZrHQYtyCkuGoXd6flBIHccacwlHBFFIeuKI+P8JPfTCVUE5bmf9xzoNhzF5BrTn8QZ92npAA1B2/oD0jCj7kQIHKFaWqbLE/6d/pYAx++tGvD1wjXD/K0i7xjm1ecPC9mmE4Lu+xNQ4Tf70uKq6y/5PfJXBH/PFhq3FXoWnh6RHOMkpQ6WARL0Zhr2J67wt/K2DvNKhCNB1xD8avSd3aXx0M7k3dUjBAeO3FcelQ8y61/99gv7FuPsWBdKLhAnLQEY4VYAwwQX61kfqUifI59IoE7xE24KGO5e7Fr4IvMp/Q8AeNmT4Nn1xfuFDq8ebyWMoyQNz9F023YFHyOAGE0L1CZwLAEZkB+p70jnafNu/SPxWgDHBMXum+99CBK+v+82zUnYldsLJyPpfPBo6hwL4VBZJvr+Zw8D4/Tj0vQM0VHTb/oC47oIy+5+9UMoI+j31w7OktEB+T8vyv7QMYEVIPcrHoAdXjTNB2PxQC8qCR/kNemWH6D4+thgF+oHd9upCga24hNmw/0fygDKumUG987P4nP/y+IiJIH2LfRkBXQBKBt1yrf2suj88BTrOfFnDh/gKOrY6TcBSva71i/kPulc+GQdO+FtD5EC8RkiACS5SNlLNmT7kM9Z5+X25fxJFPjJkf0Q9loUfRtt3OUBXtGxCoETq/cd8I37hkLW9uUYEe8c4AkwEf+DxPrTq/vl5MoQyBRc4gX7lcvyPzf4veFhD9HncEKuCczJjgRnyD4G5B+9AUbqnxhh35naSh4282glaBvgFtr3mTKfH04U7+Z373K7/eLhDUv9bQO65BcJAAlu4S9J7uwi+SU2yv9KFu0H8hw1ydz/cPI7rH2yuOzP7HoZUxJ/+hf6Xgj16L31MTuB+nY5CAtnD+z6XE22zorT6vMxEzngpyNMG4kNAvTI/t8z6/VqFmT9G9tOOxsdFA6oAXryIs+Q9kr8qgItB9LywN9H4Ez0kfEIzA3uKPsLGmD6oR5g6fMo8NOeBpMDjvMYDvzTadOZ6ogecP1qCZgTWvGQ9ynlVOylIE/t2OjNHPEgxuVR+7DddC6bF44RjhDPE3IIFtqU7BXZ3+fWAIH+WzK9Cfv7y+RpC97Q3O3C82oOcu1IBbL3GSvaKRcMyfFOJtX3uRCy6jzwif8ZCHPQsg/pDQ/TyPFV/+cLotmRICZUUg3S9PL5Cu3DCJb1k/L18asAQPyp+QXVLCmDxvD8q+kMG0LhoNj45LIV9dcJHTP4rh1eCjkMRfOtD8QRcgIQ5WoQeu7O4Qn3L/o86QHXAv7aLB5AA/k/yu8nxA/gBHn68hfBE7MXEwji9Sj9U/brECHDhBtQGsHuOQkN/TcwIejU/lH1DyVc6mnl2eC4Cfwgp9yhGw3ICuBJBDjMwQRU/hD1SODg7xQKeNPUBnX3iv3oIsT62uipHDj0ux1VuCnnzOI5IY3YDjzWAQDl4fVmFLoi7gBy8mERAcLILBUh+/mJ3Jn4ECXFH8n+FfxvsYT0SShJ13b0MfL0H/oUrSQB4BkJ+gZg0wz4zfDmxbIEBPis8DJJ0hCP5eQBav93JND/78EE9HQKbSGN76UQpM/9EAwSrv6aDbjRx+Qz+wgmXg5/+MfuvcDH9T75yyK6CcfuaulwEEUCSAmSFQjYBxKuyfUeAPfX4CoL4+mZ8aY7HU6SEbPeWvzO9TziJNjQ80ftUBi+BxoErwpqLBv4HPk/Jm/piQskA6UG9QGl/T4AFuyU/uQmOv/m+R/67tSTB8oJxR4mLDT8FfL9JIzvBuYVCtPMyuvW57v1KOxR5yvuMQBPYQ7+cSA8M1XjENyfCNX/Z+YY9zwIn+y82HoLUv88Eg3u8Q+1Hb0IXeiJ9nYb2hTtyDMUzhOT12/+nACI/Y/12u8U5vn2h+AW/rPnsARZLjf8UhUODZYNRN6nL5nUMz4b6OM1HBDZEVr/1fLLF2fmruhdCk1DUQnK7fcHjshn7Zf7auR1HCT46uFmEscNk/pUC8cdrAIN95Pd4R9I+7v4TQBM5z0Z9jOb33/vVOyG7t2r5vZ275spSBNn/18Z5OQO3Qgt6i9mIJj90+W5/PsWpcKgGB0YOCbJCFb/yQg4Jh0YoBilwvsWufzT5Zj9ZiDqLwgtDt3k5F8ZZ/9IE5spdu/m9t2rhu5U7H/vm9/2Mz0ZTOdNALv4SPvhH5PdDfesAscdVAuT+scNZhLq4ST4dRxq5Jf7Z+2OyPcHyu1RCU1DXQqu6GfmyxfV8lr/2REcEOM1G+gzPpnUpy9E3pYNDg1SFTf8WS6wBLPnFv6H4Pn2FOba74/1iP2cAG/+k9fOEzMU7cjaFHYbifZd6L0ItR3xDw3uPBJS/3oLvNif7DwIGPdn5tX/nwgQ3FXjPDNxIA7+T2ExACvuUeco7Lv11ufK69PMFQoG5ozv/SQV8jT8JizFHsoJkwfu1B/65vk6/+QmlP4W7D4Apf31AaUGJAOJC2/pPyYc+Rv4aiyvChoEvgdQGEft0PMk2DzizvVa/LPekhEdTqY7mfHj6SoL1+AA9/UerskHEgjYkhVICUUCcBBq6cfuugnLIj75x/W9wMfuf/heDggmM/vH5LjRmg2u/gwS/RCkz6UQje9tIXQKBPTvwdD/dyRq/+QBj+XSEDJJrPAE+LIE5sXN8Az4YNP6BhkJAeCtJPoU9B8x8nb0SddJKIT0b7EV/Mn+xR8QJZn4idz7+RUhyCwBwmERcvLuALoiZhTh9QDl1gEOPI3YOSHM4innVbi7HTj0qRza6MT66CKK/XX31AZ40xQK4O9I4BD1VP7BBDjMSQQK4A3IoRun3PwguAnZ4GnlXOoPJVH11P4h6DcwDf05CcHuUBqEGyHD6xBT9ij94vUTCLMXwRPyF3n64ATED+8nP8oD+R5A2iwC/gHXPOkv+gn3zuF67moQEOVyAsQRrQ9F8zkMXgquHTP4CR3117IV+OSg2ELhDBur6fD8g8YsKQXVqflA/KsA9fGT8pb1wwgK7fL50vRSDSZUkSCi2ecLVf/I8Q/T6Q2yD3PQGQiJ/zzwsuq5ENX3TibJ8RcM2ikZK7L3SAVy7WoOwvPc7d7QaQvL5Pv7vQlbMoH+1gDf5xXZlOwW2nIIzxOOEI4Rmxd0LrDdUfvG5fEgzRzY6E/tpSBU7CnlkPda8ZgTaglw/Ygemepp0/zTGA6O85MDngbw0/MoYOmhHmD6Cxoo+w3uCMyR8Uz0R+DA39LyLQeqAkr8kPYiz3ryqAEUDhsdTjsb22T9ahbr9d8zyP4C9IkNTBunIzngMRPq84rTts5cTez6Zw8IC3Y5gfoxO7319eheCBf6f/pTEnoZz+y47H2yO6xw8tz/NcnyHO0HShbK/yU2Ivnu7C9JbuEACRcJuuRtA0v94Q394nK7d+/v5k4Unx+ZMtr34BZoG2glNvNKHpnaYd+fGEbqvQHkHz4GZ8iOBMzJrglwQtHnYQ+94Tf48j+VywX7XOLIFMoQ5eSr+/rTg8QR/wkwHOAR7+UY1vaGQo37HfCr94ETsQpe0eUBbdx9G1oUEPaR/fjJSRTl/OX2WeeQz2T7SzZI2SS5IgDxGZECbQ874WQdXPg+6S/ku9ZK9jcB2Oko6h/gZw458RTr/PCy6Lf2dcooG3QBZAUt9IH2IiTL4nP/z+L3zmUGyrrKAP0fZsPiEwa2qQp32+oHYBf62KD4lh816R/kKglAL2PxzQdeNIAdKx4g94EV0DHK/j8vAfmS0Q7O99cj6EMofvXL7roIAuNv+lHTDNHS9PTjA+NnD/r+WSbhUBwLaOp88CPpCyeV20nYNs2/7xK+fQib78XuxwRaACPxbv1p80jnqe+QHwEZcCzUJk0LgBgfI3YFdNvP0SQNjKNvJa8ehQ7F+9n1k+B42Q8AKf0i81r4XuwY7m4K8ROgTp9InyOpSFkfF+vDBFYAGOEtARAnSi5YF+Ps+xb2C1/9MuuVD1cejtwEB9Uj5N3QzqXxnd1q9BD8QdeEI/NKtg638q7w9idmGhL0lgGlDuMkkRyeHnoWtxUWGn/PVwQ98i/5quvS4jf7UOH7E4LuphML2ecP5tXvGK0iw/zCNfD1rRrH75YAnf4T/qbLWlocoUQIo+7SMPoDQdsADWnpGfefxBrTxeQ2HBzon/fluVUE0wkk9+P8iiMh6xFFJRxpzHccQSDp+YXdLhrIKQYtax3+5qjrSwbvBqkzJ+sDIME53u1MH53njgqbDTta7r9BB1jEgBmfDVnOfP/bBEHbDgdbAwodtQMEy3YrJON9DjAhxTpA6N/hwPH28TjcECXA/Z+6kMA/Csz+zBk/NBXiWP/R+lfD5wQsu14xG+liG50cI7SV6YD9zCLFMhgF3Cs+I1/tb9EI9rDq+PoH6RXndA3WDz5GjPtC9msBMA+c/pAW7/Tq9qohkiWh6dLi9gPS9G7K4fS8QDTx/PqyGrXGgNmpDhfQ9yqR1cz3tbyAHHIJ99/xFAgRn8F7BLLdydveCQW7sQHVHlYgEvC77zcK7wIzJVPiUAHxHObn+PrBPD74CB+OJ1wHc+LnCOAmbAY56rcYnBXJEVkAxPCL7nzowgMzIKpRrcXLFXEPwQTzA7/7BO8F78sIfvRCDujvMQV6C4f3RAtfBd8ctw7c6On0q+pT+LEREAx40GzyfM0eCX0Yy979553jNPDTBYDSeS65DiDvoxHt68r7P9qnDJfxzu6Z62zw2wrV5q7vQQWVw7kCjBKpD5cLf+xKMuDiudkQ+DHOUQBUEKgfm+m3DnPuxdtX7vIiivY8FmoZ+ew71OjcjuUE+ccGytTgI1X3sMxn9mzws695FpwCcAqk9nLmsUTu7JX5N83MDdlDYCiP+TIVBf7o2xv/INUSCCf9EB9/32f+cwaf8r/wY/PC8W4DvRTzIjrsXwY4E1/jgRhS+pfg/xCJ6qXDNP227Hj+eOc3B14LHNZELiEDUL9C69O/1hVND4QK1fbN5BkLqCBbClIo2vfyF57//v+EBi33Q+vV9ygchybdE/AG9cVz55j6Kep29bYaKA0NE+HyShNxLeDUCgVH9TLcNeCGBjr8dx0v2PcZfATrGcjydMcv+08c5BF0B3wJQukjFDTgRecMBy8OQCcjBvXdzBHX+e4fScR5NhbnvgbEAWHmoRap5mD8Avi09F/nRCys/Wr6RRDH0vkA8+ti2wXwleILD6Up0/v/LIQWYRPj7Fnqavkw3O4k29bC6dTyQ+jsvTDwyPf6CYPxguyp1QP7mOQuHw/wHBNQCdYixC5gBYURsft0+bRAufYg99kkvvMFGzzhrPnIOhIPPvi0BkUngiCKIsLs5wyFDZPrf2GowOb0xxEm+uL+tnjm/5L2TOK1DYvVy+ZJ86nTwABE77j8dRxqBKoX6u9V66YcUOieCJIDsBkHB2zI1gZeDHEYKhohZHn0+N/xDeT8J/pfHSbz8Ai4+DX51jpuFnMmICvdFRnjmv+zIIkZJfu2BDjhISS/G2MA0hDjznH7KwZkA4f9zvOgGbseowO95l3/Hwmc/vghVPklCFsHAx8k5ajzmOnm7d8UVi4n48cZxdX1BxYCqyB/JvXYkuB59Rrs3gRoOxL1ZxDoKCb9iRJH7MbQTL+kyVgBNx0OCNIT1Buv9vEgPPmD25bp2w7lDorheAorA7v4RTMLtQQAu/hCEgbvrf1w9Fr0hAve2hUeXPUGDeAS8Ro38wX3nsdd4xgST/IBLf/fVSLQ8bLlrhL/DmPJ1/U4Hr8i8+utCAL1JBAq1Trr+T9vHdDKKzg//BjqqO2VDiLdCALCDmsBFxhv12j9Kk1c/MoqGON82wkNrBKk7ID5ovOy/S8FQwPZE8IHieiV/Ln1yumL7ZEG2zoX5UPSC+It70r6NN9NOJIPTwy8CU/1JPZ75mAMPxfUDvnV4wkAHi4dcOSE7Ez0TPSPAtUweAYSBp4MQhZW+/4oWg9PDL3khTRlDb8EvS9OvBQQJ9oGUiTBkEH19o/xDhO69TEmZBpi1LcaSwl28dSwNxDr8FTmBTXB548MY++lF4kAMwP+GgL8xSsOFZodvxRh++boV78d+oAg+fJE8hBYeuK7EuMLTtvdDVEVrfT0B3HVdCA2IX8ADhwI3OkGosB2H23seu3Z5nNBus/S5Jz4rA+f/a4lxA0++zvFxgpP70vpnMqKCevMiAS85yfcy/737O3rNes5F3cIDxWx6rffZPjP2bEhEAbN9nK1qwu9GFFAp+vaCLTVDNscKDHcoiQLFrE/MvUQIJTppgTmI4z3OwOY/vHW1Pr729UM3e6I6wzcIfPm7fj2YByG+DshyBPD+cTtYNBwWwESIBjT/PYJ5Qe3DKjVEAKVJlsqNA0LKeILPMnlGaj5XswPGA/ejieC4o32FvvOIYDoH/Dw6GH68uDf69oTAxEF3DYMoeiT3goYNPu6x0Dc1iXbBZ7qJtKK/xv8HBT7LQULAPW49OPiz8s1zFbRlBnF8+wtcws584Dw7/GDHLMJOklX3q3XOfayMVoy2u7bGhL6OiTHDvrhqhn44D4eSe4VAvwXdS0R5UoLNi895UPsWzGyCPYFtAA8BmQyugMa878bEuAOBiQUhDC335z3+TcV8JIfzS8tNsUVktiiHToGqvUxAKnkR7lE9kfqR+KkBys3xghhDAX5QCjoJucmqiCnGNMw5+Yu8zkVgD2AFkP1V99dDi4Tt/6s3Qbf8zKg8WgwcsWeDlH5kAgdMVnX1iSw8uME7OXSDngpF/qcGUQeSSNy+SoAyNUX8hERMRzI6AEWfCjb4mu1uPrhSYMB6zQx/DH2fymi7Y8syyjzJckOZTLR4dbd2t9v+Dn7FQBXFDX85eOR9xQO8erUCosmSwOF8ZXiy+Xr7F79JyFqwaz/Y/mC1Er5phPDF54P+ReA/N3nwxPlGPX3rwH8ykEKvurK8LkaWjcQC2YqsgV8EEUsGO1JQyvlwdpg3BPGjM9FHNsCu/5T3gvwPgvQHBHHtANRBMEIOBjxCycDgRl5AqYULSubG9kOWdfbJNH0/BEQEwXnrRdABRHWaDfVHdQK5unXNBZTYAHsK63mCx5SFishtcfS3TPs7BgaH+VTI9m3EAjuaPaID+IERMiD7a/0QANIGavfJvjm7R8uDwHQ5ZMqbBVaAVID1rL+6wTVgBa5+cT2VA0hyLUjWCL4KjsIRQtCGM7okfRSxFPn8f/aCIAQpOhbGJ372d/OCmQIBelKBMP4uwTQ7EUWcinP5EpXbg8Y+BXNKu3NFbUipNh+E+9A5+zvyoEdzDItEgADmhE820b59Phw4soJ2A2k1A3yIBBk+tPlei8ZEFgGMcte8eAIb/z29j7uDhkpKVUxPPGV0hXvtxkYxwL6QeLlGAYRzfXc3W5IXTELB9kliBLcOkUMH/IXMYDyNhIHEVcFdeWRIDMHcAjE6robw/sn+A4MVRbp7tMUHgxTGQYfIgBJFGMP0RQsFZfzRAfOHTQecNtAEmYHRARtz5Cre9QHEBQtqTF68rb85zLG+iAWkxbC9zYAjw25E8wYLAQHCw8bM+jkOFre70OxO/j6Hvfyy94O/AdQ+LHYM+13+jPtsdhQ+PwH3g7yyx73+PqxO+9DWt7kODPoDxsHCywEzBi5E48NNgDC95MWIBbG+ucytvx68qkxFC0HEHvUkKttz0QEZgdAEnDbNB7OHUQHl/MsFdEUYw9JFCIABh9TGR4M0xTp7lUWDgwn+MP7uhvE6nAIMweRIHXlVwUHETYSgPIXMR/yRQzcOogS2SULB10xbkjc3c31BhHlGEHiAvoYx7cZFe+V0jzxVTEpKQ4ZPu729m/84Ahe8THLWAYZEHov0+Vk+iAQDfKk1NgNyglw4vT4Rvk825oRAAMtEswygR3vyufs70B+E6TYtSLNFSrtFc0Y+G4PSlfP5HIpRRbQ7LsEw/hKBAXpZAjOCtnfnftbGKTogBDaCPH/U+dSxJH0zuhCGEULOwj4KlgitSMhyFQNxPa5+YAWBNX+69ayUgNaAWwVkyrQ5Q8BHy7m7Sb4q99IGUADr/SD7UTI4gSID2j2CO63ECPZ5VMaH+wYM+zS3bXHKyFSFgserebsK2ABFlPXNObp1ArVHWg3EdZABa0XBecQE/wR0fTbJFnX2Q6bGy0rphR5AoEZJwPxCzgYwQhRBLQDEcfQHD4LC/BT3rv+2wJFHIzPE8Zg3MHaK+VJQxjtRSx8ELIFZioQC1o3uRrK8L7qQQr8yq8B9fflGMMT3eeA/PkXng/DF6YTSvmC1GP5rP9qwSchXv3r7MvlleKF8UsDiybUCvHqFA6R9+XjNfxXFBUAOftv+Nrf1t3R4WUyyQ7zJcsojyyi7X8pMfYx/Os0gwHhSbj6a7Xb4nwoARbI6DEcEREX8sjVKgBy+UkjRB6cGRf6eCnSDuzl4wSw8tYkWdcdMZAIUfmeDnLFaDCg8fMyBt+s3bf+LhNdDlffQ/WAFoA9ORUu8+fm0zCnGKog5yboJkAoBflhDMYIKzekB0fiR+pE9ke5qeQxAKr1OgaiHZLYxRUtNs0vkh8V8Pk3nPe334QwJBQOBhLgvxsa87oDZDI8BrQA9gWyCFsxQ+w95TYvSgsR5XUt/BcVAknuPh744KoZ+uHHDjokEvrbGtruWjKyMTn2rddX3jpJswmDHO/xgPA583ML7C3F85QZVtE1zM/L4+K49AD1BQv7LRwUG/yK/ybSnurbBdYlQNy6xzT7ChiT3qHoNgwF3AMR2hPf6/LgYfrw6B/wgOjOIRb7jfaC4o4nD94PGF7MqPnlGTzJ4gsLKTQNWyqVJhACqNW3DOUH9gnT/CAYARJwW2DQxO3D+cgTOyGG+GAc+Pbm7SHzDNyI693u1Qz729T68daY/jsDjPfmI6YElOkQIDL1sT8LFqIkMdwcKAzbtNXaCKfrUUC9GKsLcrXN9hAGsSHP2WT4t9+x6g8Vdwg5FzXr7ev37Mv+J9y854gE68yKCZzKS+lP78YKO8U++8QNriWf/awPnPjS5LrPc0HZ5nrtbex2H6LA6QYI3A4cfwA2IXQgcdX0B630URXdDU7b4wu7EnriEFhE8vnygCAd+le/5uhh+78Umh0OFcUrAvz+GjMDiQClF2PvjwzB5wU1VObr8DcQ1LB28UsJtxpi1GQaMSa69Q4Tj/H19pBBJMEGUifaFBBOvL0vvwRlDYU0veRPDFoP/ihW+0IWngwSBngG1TCPAkz0TPSE7HDkLh0AHuMJ+dXUDj8XYAx75iT2T/W8CU8Mkg9NODTfSvot7wviQ9IX5ds6kQaL7crpufWV/InowgfZE0MDLwWy/aLzgPmk7KwSCQ182xjjyipc/CpNaP1v1xcYawHCDggCIt2VDqjtGOo//Cs40MpvHfk/Ousq1SQQAvWtCPPrvyI4Htf1Y8n/Dq4SsuXQ8VUi/98BLU/yGBJd457HBfc38/Ea4BIGDVz1FR7e2oQLWvRw9K39Bu9CErv4BAALtUUzu/grA3gKiuHlDtsOlumD2zz58SCv9tQb0hMOCDcdWAGkyUy/xtBH7IkSJv3oKGcQEvVoO94EGux59ZLg9dh/JqsgFgL1B8XVxxkn41Yu3xTm7ZjpqPMk5QMfWwclCFT5+CGc/h8JXf+95qMDux6gGc7zh/1kAysGcfvjztIQYwC/GyEkOOG2BCX7iRmzIJr/GePdFSArcyZuFtY6Nfm4+PAIJvNfHSf65PzxDfjfefQhZCoacRheDNYGbMgHB7AZkgOeCFDophxV6+rvqhdqBHUcuPxE78AAqdNJ88vmi9W1DUzikvbm/7Z44v4m+scR5vSowH9hk+uFDecMwuyKIoIgRSe0Bj74Eg/IOqz5POEFG77z2SQg97n2tEB0+bH7hRFgBcQu1iJQCRwTD/AuH5jkA/up1YLsg/H6Ccj3MPDsvUPo1PLC6dvW7iQw3Gr5Werj7GEThBb/LNP7pSkLD5XiBfBi2/Pr+QDH0kUQavqs/UQsX+e09AL4YPyp5qEWYebEAb4GFud5NknE7h/X+cwR9d0jBkAnLw4MB0XnNOAjFELpfAl0B+QRTxwv+3THyPLrGXwE9xkv2HcdOvyGBjXgMtxH9QoF4NRxLUoT4fINEygNthp29SnqmPpz5/XF8AbdE4cmKBzV90PrLfeEBv7/nv/yF9r3UihbCqggGQvN5NX2hApND9YV079C61C/IQNELhzWXgs3B3jneP627DT9pcOJ6v8Ql+BS+oEYX+M4E18GOuzzIr0UbgPC8WPzv/Cf8nMGZ/5/3xAfJ/0SCCDVG//o2wX+MhWP+WAo2UPMDTfNlfnu7JuuARSVMpv3pecAMKnoQNgTHzz57AkaCmX+jdMbGxy/nOiirLfvDAHo4OU5Iv2XAUUksgBS9876EBhOBCcT+O+DGToKyCJkB5QMlekTGmwkxhuwE8/wPBM4J6/YZht7PqYrI/PjCnEWq9Sw/+vL6epf3P3/P+MPB1X00ceE8LrVUy9J8kTDKvKtAOjQCCppPxz87stm3QgQy/Tp4FrrPw9X+SPmhSWG2vwOAeeeHKwiMAL63dwiswzXGeXyBBQWAonvPvXw5NLitNOe85j7dOsDJzL2ngSYxETiMxyQDvfsbxG8FKT9vBX69qnP4QNG1eTyWA2WENDd2/SdrYnIMPrI9vkSf/su9c3/BOcJBWbk8eEO/ScL8yC29Q85w+mMLqnvkTnYF4oDoBCgB2TdMCe62GnB5O7k/m78bBsb0BoBXehI5QMMdO4zJIvQWB3Ew+FHLdl282kDK+Md8DH4uvjNEqL/8+C+7ZrJQvdIANfoChcWKVjw+B/R/JvDVgRAK4jlgffL0TUSqdpsQ/kiOCQdPhPe7TUpJh3JqvlwwGTrwgTsG9QLNhmpHV/Z37Y0BDvzdgppLoQq7PIk8GwhjeJE3IcRYfF/JR77Vs/b45ETvk5cHZHhuQTB+1DybtGS7M8EnfV9KI33qP46IFAFhT2uSMQepwKIPLgdmPI79ezmf8iUGYXCyPvt5Q/49iMo+YQLOP0B81QGgAUNKAUn9fLL/Ps0evL0/7kJ6Qj7KhDsug7u49b1tBe8+ZTMBf4U5+zoWiyIsooLxzrv9W7rJ+XT7I3bnhiF7vANd++hK7kk/PHZ83suuexZ6wgKSR8x6wUDbu+2M2UfnuETAjD34jZ6CKEcExTnFXwTcupH38POzwVi/LHnA/LWGRL3RQxHFJsLV9xC9fO9pOzbMuEo8PeGR5kBAj9HFjP1ZAKmDH0m1dDjKIbrR+qXLFgDr+cYCWoFOTV637cB5OKfF+Tpx8Py3IwLc+Of/Xr2tQ2xE6ok0wF251sgKiCqFmPXEPA4/Y0fKggcxXXpI/sy+lIHXAy45Gn+Gepx8qBNACBBB5MSWdwr1PfwQBJT+O/DWRBs2hcRmv92A4PisM70814BMQ2j5WzksQ2IHffmoDr4KIcE5pTO+Fwmmezx/vQS1yOD4I3dgMRtHGrpEwmPATfOSQgb8A8C7fC7B+rlxe8fAU4IBdgb6j9Dbvoj9zcN5ghkFZ36sLRkJbQv/gI2ABYjUCdvOx8Wj/ngABvMSwBuFOYlNtkpCnIWEeaO918Y7QrkHd4fPQJP+hEZ1vgS9aVOhyZH87XYzNjk4ZkuZhDmHyURSg7DG6H3XhRR1LYHCeC/+tfnCOj58REQUuF9Lu79Zjc33UI8LwFVCVndGR7zG+XWtvvH7d75u9+GMvkYvwGi/NzTdfGF8wc4ERawxdMLdvBT+B7/xPyi1SkZ6RPdHbkQrxyl+mYMrg6cyb0GUxjABtZG5g0B4rj688xYDYAVivtd+ALP/A1m74cL0hBR8ogCkAsrG1kV+eiJIiDXKh1AHNbUXRP5LC4LR+69AAPpg+Hj2f7YCr5r3inNxASqKBoOve2G5/36Kw88z8K4Sf75/RkUB/+M8GAZCqwQ++nqfQgXFxnSrcxD+nbktjqjCOL34umbJ2MwRwmKGBvavQ03CSAREAkuB6YPReom77wJJwXjLdXgPQoR7TkvSRJtAMNKChOQFCH9dAfIA84E9gbG8j8UxgRcGAMGUe5TyF0Ku9UY/mIPVfvi5mT3pA36CKsDyUFJ81AlSCq15OEG4/isMXX3OfA3CgzwhgilBWITtAv3AHgmqChW4Q7hP8sq4e4KsiYgIWLhLQM7K2n2QQBZCrDX/eun8GgPFOPNF/fz3feT6sIEYR3QQD376hkBIjbQcPFQAnbdnC5D8QchhvvrAjsOYOW/6/sAbggSK/obdikRFA0BgN222/UWZfGN7/D4vR+1A8f31ueAG3z7ovYEGBcBXeGD+ZEMDeLsD5/+ot7d22oH+ffOIJkbbDoS+oEKuwrDx4v41fqSH/ERmxdvKuPl5thb3egJchf0Biz6m/pu0hcGmt75FKYp4KN7Hg46fxV1GinhqCNo7FAVyCABBYTXxu0aOW8Ppw0fG3bv3vn72JzZZ/ve8CwmlfjtBnX00t4P5moEJvMq7lPt/PXF/Sj77UDnGQMFdOeE6AwCwPhOxfkABC33BlYFBOBuF8kttEfp1hvhVyNU/70IuuQBB0kFMd6kAvPhoeiGxEkVVgr5/pIpddZ/KekaQu8J3evyFOIq92gQXg7q4BDrJvdp/L4eNx6Wy23xaesZydfkGvQQDzTRcRrrAyzp3gi03O4RlxhaHH4bee4bCLsdvPZm1lkJBALB4k3slfVbJ+cbYPdGHwAArAdQ+tDvGN2mHe8WhAaKKTLPTiGlCpT8cMHM5lQMvs25M8QQS9pSDlX3VfkYATolqgfxAtX6CrGoJcnoyEQ9Ca0b+xdgEOTsekk4KwkcqeST9K7+Xs0iCHIZ9Rv7AY7XGhXf/7ryY/9UHKnHsPSq8+gR6wIx9DwQCvR4DEr3Vf9T+o8BighxBPb6CvaM8S/p1ERFBlApdQHS72/txStoK8ATZPcp73wLtuQfE5LvqdtI5XImVd5G3CvNneg1Mxv5fwdbBz7x/ROk4YUI9Bz/F8/Z4dU/6tVHTLxI3I8foBn4Cg+hUuxJIAbuFANxC0QiGA/H813dYyoMDpEadxKRGgwOYypd3cfzGA9EInELFAMG7kkgUuwPofgKoBmPH0jcTLzVRz/q4dXP2f8X9ByFCKTh/RM+8VsHfwcb+TUznegrzUbcVd5yJkjlqduS7x8TtuR8CynvZPfAE2grxStv7dLvdQFQKUUG1EQv6YzxCvb2+nEEigiPAVP6Vf9K93gMCvQ8EDH06wLoEarzsPSpx1QcY/+68t//GhWO1/sB9RtyGSIIXs2u/pP0qeQJHDgreknk7GAQ+xetGz0JyETJ6KglCrHV+vECqgc6JRgBVflV91IOS9rEELkzvs1UDMzmcMGU/KUKTiEyz4ophAbvFqYdGN3Q71D6rAcAAEYfYPfnG1snlfVN7MHiBAJZCWbWvPa7HRsIee5+G1oclxjuEbTc3ggs6esDcRo00RAPGvTX5BnJaett8ZbLNx6+Hmn8JvcQ6+rgXg5oECr3FOLr8gndQu/pGn8pddaSKfn+VgpJFYbEoejz4aQCMd5JBQEHuuS9CFT/VyMb4enWtEfJLW4XBOBWBfcGBC35AE7FwPgMAoTodOcDBecZ7UAo+8X9/PVT7SruJvNqBA/m0t519O0GlfgsJt7wZ/uc2fvY3vl27x8bpw1vDxo5xu2E1wEFyCBQFWjsqCMp4XUafxUOOnse4KOmKfkUmt4XBm7Sm/os+vQGchfoCVvd5tjj5W8qmxfxEZIf1fqL+MPHuwqBChL6bDqZG84g+fdqB93bot6f/uwPDeKRDIP5XeEXAQQYovZ8+4Ab1ufH97UDvR/w+I3vZfH1FrbbgN0NAREUdin6GxIrbgj7AL/rYOU7DusChvsHIUPxnC523VACcPE20AEi6hk9+9BAYR3CBJPq3ff3880XFONoD6fw/euw11kKQQBp9jsrLQNi4SAhsibuCirhP8sO4VbhqCh4JvcAtAtiE6UFhggM8DcKOfB196wx4/jhBrXkSCpQJUnzyUGrA/oIpA1k9+LmVftiDxj+u9VdClPIUe4DBlwYxgQ/FMby9gbOBMgDdAch/ZAUChPDSm0ASRI5LxHtPQrV4OMtJwW8CSbvReqmDy4HEAkgETcJvQ0b2ooYRwljMJsn4uni96MItjp25EP6rcwZ0hcXfQjp6hD7CqxgGYzwB/8ZFPn9Sf7CuDzPKw/9+obnve0aDqooxAQpzWveCr7+2OPZg+ED6b0AR+4uC/ksXRPW1EAcKh0g14ki+ehZFSsbkAuIAlHy0hCHC2bv/A0Cz134ivuAFVgN88y4+gHi5g3WRsAGUxi9BpzJrg5mDKX6rxy5EN0d6RMpGaLVxPwe/1P4dvDTC7DFERYHOIXzdfHc06L8vwH5GIYyu9/e+cfttvvl1vMbGR5Z3VUJLwFCPDfdZjfu/X0uUuEREPnxCOjX57/6CeC2B1HUXhSh98MbSg4lEeYfZhCZLuThzNi12EfzhyalThL11vgRGU/6PQLeH+Qd7QpfGI73EeZyFikKNtnmJW4USwAbzOAAj/kfFm87UCcWIzYA/gK0L2QlsLSd+mQV5gg3DSP3bvo/QxvqBdhOCB8Bxe/q5bsH7fAPAhvwSQg3zo8BEwlq6W0cgMSN3YPg1yP0EvH+mexcJs745pSHBPgooDr35ogdsQ1s5KPlMQ1eAfTzsM6D4nYDmv8XEWzaWRDvw1P4QBL38CvUWdyTEkEHACCgTXHyGepp/rjkXAxSBzL6I/t16RzFKgiNHzj9EPBj16oWKiBbIHbn0wGqJLETtQ169p/9c+OMC/Lcx8Pk6Z8X5OK3AXrfOTVqBRgJr+dYA5csR+qG6+Mo1dB9JqYMZAIz9UcWAj+ZAYZH8PfhKNsypOzzvUL1V9ybC0cURQwS99YZA/Kx52L8zwXDzkffcup8E+cVExShHHoI4jYw9xMCnuFlH7Yzbu8FAzHrSR8IClnruex7Ltnz/PG5JKErd+/wDYXunhiN29PsJ+Vu6+/1xzqKC4iyWizs6BTnBf6UzLz5tBfW9e7jug4Q7Psq6Qi5CfT/evL7NMv89fIFJw0ogAVUBgHzOP2ECyj59iMP+O3lyPuFwpQZf8js5jv1mPK4HYg8pwLEHq5IhT1QBTogqP6N930onfXPBJLsbtFQ8sH7uQSR4Vwdvk6RE9vjVs8e+38lYfGHEUTcjeJsISTw7PKEKmkudgo78zQE37Zf2akdNhnUC+wbwgRk63DAqvkdySkm7TUT3h0+OCT5ImxDqdo1EsvRgfeI5UArVgSbw9H8+B9Y8BYpChfX6EgAQveayb7t8+Ci/80Suvgx+B3wK+NpA3bzLdnhR8TDWB2L0DMkdO4DDEjlXegaARvQbBtu/OT+5O5pwbrYMCdk3aAHoBCKA9gXkTmp74wuw+kPObb18yAnCw798eFm5AkFBOfN/y71f/v5Esj2MPqJyJ2t2/TQ3ZYQWA3k8kbV4QOpz/r2vBWk/bwUbxH37JAOMxxE4pjEngQy9gMndOuY+57ztNPS4vDkPvWJ7xYCBBTl8tcZswzcIvrdMAKsIp4cAef8DobahSUj5lf5Pw9a6+ngy/QIEGbd7ssc/Gk/CCro0K0AKvJEw0nyUy+61YTw0cdV9A8HP+P9/1/c6erry7D/q9RxFuMKI/OmK3s+Zhuv2DgnPBPP8LATxhtsJBMalemUDGQHyCI6CoMZ+O8nE04EEBjO+lL3sgBFJJcBIv3lOejgDAG376KsnOgcvxsbjdNl/hoK7Ak8+RMfQNip6AAwpeeb95UyART3BQXjFs8q9YIGe+VTFobU0e5CB1ENVdMrD6ELzrxq/gFDbhCwJSjy2fBiFPj3UgR6CEEvceo19dLZYBy3AIUcz/gUBrcSthOm1/wDkexPzhIMHhQFBu0Op8MqJ0Tg28Zl3d3twpF+z8gY2CKx+DILf8uWHFJlg/VM35MaGwroNM3TnhY04hAI4/eVExP1txgFMqEpfhsuPYjl+8uf8hoCrCIYA+TsVRV9DZwFDvro1PkcXAWO8q0ne+bF8HD7FefCFDfF7Q4SIlgGsvJl4T8Jx/GTGY+8UAloBu7zO+5f/m3lVda//a0RiP3iC3rfPShLF3sJ+/LcERIQ6Og5LyS3gfX6QnX9i9NEAPjGlBFpC3HXE+w0CSDVjyEKKnD9pOtIByr2jwqJBK/jLgWx+YndX/mJ2BEWgvg+9FPT9BsVLkPsMN6uAQkafSNZ6b4BaNsW3p/gLeIy1x/ykBMr8ivTevI74t+19RMyJCnxdSX1D4wiN/LH4Z/tsCGmLcba+/l6+Rr/TQdFSpsQYg4T36ryCfdq/3QH+OiEvcTlzQvu8lDudt5T5mUZAQ2IEGYX89zJy/q7WDMqAa0YRvUz358d7BHWIrHv2gCsF0zdteNPJvfwTOGg09binBz2DTLzfRKJ+oAlq/6mESZDev4WF4EkqvCR3qPr/OUd4PX1QAAJA8AYzgnDGxkDehv1AH4diici+kbwGcnu86AkitER6y/ufxJxJPcSRTtZ+yj9Wz968sUfa/Rk3d/qxg12BOjmqAq+D+rpywmJ9825PueDCBHsGgVURLH23upJD2f1NCdrAi4aJgZ/7n7sVfpfB5oMayAk2NPUQuyLBYz6VfbswuwWCRl9Gn4QZvmq4n0Hquvb4EwLWb9V8RH9Qjv1PM3cNAQdEI4m1g/dAvsPvQdlqpMoIQEPF+sqWS0tACkFnA1a2XzM2zr+7z4K6Pws4AQJhf1JBvggf+X6AVjq0+YDFz0hZSCHJ9AAvMooCQ4SdTcC3XYL3jd98TvfFQwVEWwP2OCC3iLhRQM9Cu8I3DOY46MWbPkTCuHgqQuQ8XPW4tQS5iQSrdjLCVL0QhwU+cQScwt1Hn/fZi4/C87/D+KlEOTvy/ADEtwBrRR4x5cUhO8bCwXgCxPrG8QwBhxbMCUApuRcI5oIauvY9CLqzgI0AiKofvFz0toC0/fJHpPtpf8bAKS9RB4ZH/AMcOQu/Mr0DQy5Q6o9xd3QDwgYMh4IGZXWsiyfw9oZe/RN1czgFTpeDOvz0eeiuEb/4+Ww7Qr6ikPSML8N1jVZxBnyrutg86z30CGK99EACRYu51hITfB4BZfp5/mTwBss9wLw1ColsxoqIDTxeNsfOIr0RCbL2+nwuP37DZYbFvfrzVneAgD6ADPbvADT/rg2G92H/gjpF+hz7I4ZVuPySCIGz/9lH3XsZic2zgbtremZ7Of10CEpARLkLyyLJM/uKfLW8kQZbRTC2NDy/dy69/obvdVG438FCgqF4ZruOBxC7RkFENKmv6XhAQuVCdDZJP3wGrLSutoryzwXTdmDDqYQ4NO295LmTQrn9Ff7suX9A3PfFdnt47Xnasca/2Lw8BPr+O8LmCdaAj7wrwXIFtfsJiRLENwQQj+q4McA6B9eIKrxuvIl89f0sgREApEcU9ot+7Ydzwxd59EMV79vGCK18/t1+8zTwCDoHb42tPLG7E72zD3k37T2lw41OJswZdwezpjve9zVw08hjk2DIyscKgbb+fzulveKIAwOyAGl32Uba/OT5gT9JArLAdf6OAG7+J/WTftv/WcZfPC5CobvMuIbCCDLMhrqC+gvB9Ha+5fnFg3sY8/11vtLHv7rXfWJDn0szQq79fApO7qy/4ck0e4qE4PqOi3HKLn8JhdZ/MkO8vgJ2REYXg3GDGb3OhVUEbnRJxiyCH4JVSVxvX/ECNQhy7H8VPqTvuYYMOuTG5HRrwNcBHD+4eHkD8z+GPD6Ao0cKfue3SP6HNsiytfewzGqFQ8odRTn3pwhKCfpEXT6SwAvKQwPXRWF8rH21r2HCKrcLRelCiETLffD/q7GRxht+RLyTB+Qz5/5Gf4s+2Uvys9t/Mn5ddGGE1TWSRF87MQkahEdGejgBgpeAPXbVcI5GS+33CVexcgk5PL9DuTgwvmX+M3OdihfBbDIudsJ1ULGqM/hPhoUZjJ94gPEpBvXJbPWsgB9HAYLmBWP858WohNHz3EFsi4T7FsN+g7V9WsE3wdI7uEDZi+ZDSUIjA4iLsnzo+Sq7JEWJRyuLKX3KQBz3lnjoCg63XjlYvxEDooQfhpY5RLVW/gN5GvtYgidugIJvwSZHPcN3ALz/hbuMR/78JwNJO99Ci3m1gvs6kv7HCz9NRkYWwZ46qT9PTHPJm8Ucw3h+wTKJiOhGfvXgWWTNzz5cg2kG/q0X+DDz/ECNhyb/E30/h54+2YfP/QL0mAM7xu8/w8HZBAjPy6/kCPcN43lLAuEEKEi3xz5Dlfxtgtm27n8MPIY/TIC0+CrrbEIoOuI9OD5/Auk/+zs+c8nKdPbYAQY2zzyKzd09XsjtB//EMXx6QzwHVgH1M4eBsLtlxVM9+gQagzy98XRaRNZ7wv5Rtj55VoDH8UlIdYTQRqh/DoY5BxnEp4QR+sq7SoRWv+xCS/7XNoQAg9EI/1UDIbfFtCDCGT7E/RA7ogZfOpZ0vg9Sx17K8fgXzHYHf/ZaSyI+IwN8Psm65zm2QqH4iYEh+LZCpzmJuvw+4wNiPhpLP/Z2B1fMcfgeytLHfg9WdJ86ogZQO4T9GT7gwgW0IbfVAwj/Q9EEAJc2i/7sQla/yoRKu1H654QZxLkHDoYofxBGtYTJSEfxVoD+eVG2Av5We9pE8XR8vdqDOgQTPeXFcLtHgbUzlgH8B3pDMXx/xC0H3sjdPUrNzzyGNtgBNPbJyn5z+zspP/8C+D5iPSg67EIq63T4DICGP0w8rn8Ztu2C1fx+Q7fHKEihBAsC43l3DeQIy6/Iz9kEA8HvP/vG2AMC9I/9GYfePv+Hk30m/w2HPECw89f4Pq0pBtyDTz5kzeBZfvXoRkmIwTK4ftzDW8UzyY9MaT9eOpbBhkY/TUcLEv77OrWCy3mfQok75wN+/AxHxbu8/7cAvcNmRy/BAIJnbpiCGvtDeRb+BLVWOV+GooQRA5i/HjlOt2gKFnjc94pAKX3riwlHJEWquyj5MnzIi6MDiUImQ1mL+EDSO7fB2sE1fX6DlsNE+yyLnEFR8+iE58Wj/OYFQYLfRyyALPW1yWkGwPEfeJmMhoU4T6oz0LGCdW527DIXwV2KM3Ol/jC+eTg/Q7k8sgkXsXcJS+3ORlVwvXbXgAGCujgHRlqEcQkfOxJEVTWhhN10cn5bfzKz2UvLPsZ/p/5kM9MHxLybflHGK7Gw/4t9yETpQotF6rchwjWvbH2hfJdFQwPLylLAHT66REoJ5wh5951FA8oqhXDMdfeIsoc2yP6nt0p+40c+gIY8Mz+5A/h4XD+XASvA5HRkxsw6+YYk75U+rH8IcsI1H/Ecb1VJX4JsggnGLnRVBE6FWb3xgxeDREYCdny+MkOWfwmF7n8xyg6LYPqKhPR7ocksv87uvApu/XNCn0siQ5d9f7rSx7W+8/17GMWDZfn2vsH0egv6gsyGiDLGwgy4obvuQp88GcZb/1N+5/Wu/g4Adf6ywEkCgT9k+Zr82Ubpd/IAQwOiiCW9/zu2/kqBiscgyOOTU8h1cN73JjvHs5l3JswNTiXDrT25N/MPU72xuy08r426B3AIMzTdfvz+yK1bxhXv9EMXefPDLYdLftT2pEcRAKyBNf0JfO68qrxXiDoH8cAquBCP9wQSxAmJNfsyBavBT7wWgKYJ+8L6/jwE2LwGv9qx7Xn7eMV2XPf/QOy5Vf75/RNCpLmtvfg06YQgw5N2TwXK8u62rLS8Bok/dDZlQkBC6Xhpr8Q0hkFQu04HJruheEKCn8FRuO91fobuvf93NDywthtFEQZ1vIp8s/uiyQvLBLkKQHQIef1meyt6QbtNs5mJ3XsZR/P/yIG8khW444Zc+wX6Ajph/4b3bg20/68ADPb+gACAFne680W95Yb+w24/enwy9tEJor0Hzh42zTxKiCzGiol8NT3Ahssk8Dn+ZfpeAVN8FhILucJFtEAivfQIaz3YPOu6xnyWcTWNb8N0jCKQwr6sO3j5Ub/orjR5+vzXgwVOszgTdV79NoZn8OyLJXWCBkyHggY0A/F3ao9uUMNDMr0Lvxw5PAMGR9EHqS9GwCl/5PtyR7T99oCc9J+8SKoNALOAiLq2PRq65oIXCOm5CUAWzAGHMQw6xsLEwXgGwuE75cUeMetFNwBAxLL8OTvpRAP4s7/PwtmLn/fdR5zC8QSFPlCHFL0ywmt2CQSEubi1HPWkPGpC+HgEwps+aMWmOPcM+8IPQpFAyLhgt7Y4GwPFREVDDvfffHeN3YLAt11Nw4SKAm8ytAAhydlID0hAxfT5ljq+gF/5fggSQaF/QQJLODo/D4K/u/bOnzMWtmcDSkFLQBZLesqDxchAZMoZaq9B/sP3QLWD44mHRA0BM3c9TxCOxH9VfFZv0wL2+Cq630HquJm+X4QfRoJGewW7MJV9oz6iwVC7NPUJNhrIJoMXwdV+n7sf+4mBi4aawI0J2f1SQ/e6rH2VEQaBRHsgwg+5825iffLCerpvg+oCujmdgTGDd/qZN1r9MUfevJbPyj9WftFO/cScSR/Ei/uEeuK0aAk7vMZyUbwIvqKJ34d9QB6GxkDwxvOCcAYCQNAAPX1HeD85aPrkd6q8IEkFhd6/iZDphGr/oAlifp9EjLz9g2cHNbioNNM4ffwTya140zdrBfaALHv1iLsEZ8dM99G9a0YKgFYM/q7ycvz3GYXiBABDWUZU+Z23lDu7vLNC8TlhL346HQHav8J96ryE99iDpsQRUpNBxr/evn7+cbapi2wIZ/tx+E38owi9Q91JSnxMiT1E9+1O+J68ivTK/KQEx/yMtct4p/gFt5o274BWel9IwkargEw3kPsFS70G1PTPvSC+BEWidhf+YndsfkuBa/jiQSPCir2SAek63D9CiqPISDVNAkT7HHXaQuUEfjGRACL03X9+kKB9SS3OS/o6BIQ3BH78nsJSxc9KHrf4guI/a0Rv/1V1m3lX/477u7zaAZQCY+8kxnH8T8JZeGy8lgGEiLtDjfFwhQV53D7xfB75q0njvJcBfkc6NQO+pwFfQ1VFeTsGAOsIhoCn/L7y4jlLj1+G6EpBTK3GBP1lRPj9xAINOKeFs3T6DQbCpMaTN+D9VJllhx/yzILsfjYIsgYfs/Ckd3tZd3bxkTgKienw+0OBQYeFBIMT86R7PwDpte2E7cSFAbP+IUctwBgHNLZNfVx6kEveghSBPj3YhTZ8CjysCVuEAFDav7OvKELKw9V01ENQgfR7obUUxZ75YIGKvUWzwXjkTZnAxngNeBBDmsNCvZqyikebAb88W4DONAtAhnyHhxRAbHpchL46kgJcRYxBgcPQg06JZHs5ftrJnLz/BRfGd7wt+UfGh/Ylfru6uMZAOU/8I0KoyhY6c7QcebGCC4syA5hIZ8Qn/ES6qYD7PuN+dn1Dvs+A1wKkOEwLpbb4EcIDgAh+ABszkUMOSJT85XjERIG5YcHf92s6q78I+ejGgcLvth/GEoV4TCO4t4dR9IF6b3SNgeDDmsaqSF5GEnuEvDP8Az36/bp7awUBeJeHWTkE9sO8CoOgBuP7/gpawXP0YoTUjjXFpzfEjILzzr0S+/pC/f+8vtbChoYQeMuFdcGqULYFUcvYSgl9OkRugRB4b0Cfvar7fHu3hIcKh3vFSmMGZoF4PoyG/P+3gfK5w0Kt/+PEgMJDjy2GqTMLOlA4pYk0657CIktgzSSALkakevb/Ef1XxDoEusOVfjmAjEetPsq6tLZ27xQ/W4k7PEa7WfwwQa5GkzWfQXLGz/TPhrl5/Tqo9lL/4EYbP2kACgS9ek20IX9QepT6XIiCtKw3m/LQ9nN38YPXQg77gIGUf0jJ73fcePJIrUmOu88BNP3e/352arrYRmO8A8VwgiMI9HOxixQ1wUSby55I8rZtB+uG0remCGHDdHaJyy8H23xJTEw8VDP1yD4+4j01BepF60Co+n4E1H6+PomNkQMVCckCLEwfkRFJBYoDfnt/gPNc9SsA3UPvwjH7iMGmuh9Bf3MuBBUDGXSuSirETXG9N3oHj4hlC2l+0H2cCmyCE4Pze1v0MEIlyzk5JsFOzfq5UQGhNmD3J0DsABZMaXsLR7qCKPY1wpg/6IawwQgyKXvTOInCqT+rPoBBXb1GBU5Hawv3vPa9AQxpzD3D+zl3QhFAIz6wAQkxJFNCi1ExOYRhduAA1cSEM5WIoUW9h+UA51CYepkCPwSyQ4/9nAYWCBAA8YmGDllOkkIXhrhOTAcjRu0CW/zfBlJDbzjW+z/237/IvJ8rXvtKuAj/eXnkgES81EbZ9yp+7oAc+gsHU3xyBubPxzuVjLy5bAikww2CeH0YxB+E3kHowqH4dIFUvyeLX/g7wxpKPoiwfpO4Jj0Wv8OJZC/zjyb/TMjvNZp7dn/zN+C4KfxqPZbA6nvjQb/9J0QbLxs1q/6Ad8y9l/4xtOAC8LdyuSGxHmuK/JR6jUtdCg1vIkE+wkR+UMlnPICzHMYoNHD64KtJQxryZH/Gf4kKy/zT/dcDQDz1BPb4EIFzixAPhYKbuu61tnVtegs9oL7ZwYl50kODRTN+q/74gZoLzn9yDmSC9bu2x1Qsg/L0fyN0foDzesjBWPqzgNv9JnLy9ur974PDu47BRnvtc7cF5bv7xo1DncBuT1d90rtSwrJ6ecnN/Xh9Doygh0+/94GqQvH7J0BGt4y4BkYcjZMz20sPf6n6CD1YySH+NPuMgOc85fSYfWM9WkYvg0nv8Hsj/4KCXTTNMB+7Un/ftKQ7Z/vHD3H2s4QcSdd/rL/st5aOr8Kxe4ULo0USdnN2IkLfhkVKSoKPxRHCh0aNP8N+IPOp/rw7lXZc99s/Mb0J8ot9wUcxyz56UQDrDGhBcThJUKCJPoL9xWFGxvhVt+jHW8kC/GCCkrs6v6U1mgjaD+48+D7jvoz3UX3r+CF2tS9Yf6UG2kN7Qre9/cKZsz5HrAMxhADxE0BAhAtDpoeogj2EiHlaemZCfvWM/WUGUPv8xGYDDn97gdAWLzZSg1iHIMZwCGqHrXxOeFm/SQ4qwwp4xb4JfvOC0gg9vZzB5AA3vb39qkZp+VsFf//c/8dCHwmdAY4NNnUDxdcD4oWZhZLGNr7NM4RHm/+cAJoB+8rt/0W+GXed+W57zsdFgM5CKQXzNu4+x/MY+PyE/Q7Yva4+lfjIOenAdUIIfXMFJq4zu0/H+gK/UHI6wHiDgNa9/Ttk+IcEI7yHveGK7cKFRVfIQXsTf9LB9AQU9tZy946mRfG2mwvcxBfKyG9qugeBHEGIAi6zjkGACwwnM7m3gXUC/f33wOn2cIfv/waG1RBjO1C8W3+juh+/NH/Lvhw5XDpvNTcHPILmQWn8yXlzOYjAiMljA6XCgIUyR6y4OTsMM8QJ48aXhjAD5Dr+Aek+NAgCCswF6oG7UHT3vToAuul9/bxF+BUAMjCAegbD/YmRO21LWEV/f4vEWrwAQmY5P8UO/PXEnQshwIYHSgPoxpGFHXj8ge7KZonpv38C3kPFPkkT90SaBXC81ssN+exzMUTFNEqCgMHMt1I/XIZgSfwE08OhPsTxGwv0y2c9F8M0+wY7n/2NAF/Id3ovSG2BKM2aQKo6x30dP5BB3MASzMxJDv2eijSEY36Xdsc7IP2bTFrDEQ9FC2DBBD6sO+LHsDU6+fN/973xQFUvDjmXC9e7HAG0OCt5r4JGkPO8y/0Mw4hwM4Upelv5nn6se9dGenyItAIJhbjleZP+nP+28MJHIwvIA1qKu/dZNe3HXgVk/MID/kjDEX+HMkHqgqMA6/eXOvJAe8YoeufHv3vvN/pCzsgGDaNHIDrAvbW85AHf+2eCYP9LftHA433Hima7+sRRPCe8xTNWRf//Tj3EfeG+Dk6BAt+ztEb2OP6Lyk0/Pr29ebdiuvP4QDrLfY93z0Aix2F+7m8OR2rEwIdYA7fwCX/9vfG+OLUlEI68FoeeiohQAnsrhg4IWwlMAdDDYEoSxiJC7MI3QInj90CswiJC0sYgShDDTAHbCU4Ia4YCewhQHoqWh468JRC4tTG+Pb3Jf/fwGAOAh2rEzkdubyF+4sdPQA93y32AOvP4Yrr5t329fz6KTT6L9jj0Rt+zgQLOTqG+BH3OPf//VkXFM2e80Tw6xGa7x4pjfdHAy37g/2eCX/tkAfW8wL2gOuNHBg2OyDpC7zf/e+fHqHr7xjJAVzrr96MA6oKyQf+HAxF+SMID5PzeBW3HWTX791qKiANjC8JHNvDc/5P+pXmFuMIJiLQ6fJdGbHvefpv5qXpzhQhwDMOL/TO8xpDvgmt5tDgcAZe7FwvOOZUvMUB3vfN/+vnwNSLHrDvEPqDBBQtRD1rDG0xg/Yc7F3bjfrSEXooO/YxJEszcwBBB3T+HfSo62kCoza2BL0h3eh/ITQBf/YY7tPsXwyc9NMtbC8TxIT7Tw7wE4EnchlI/TLdAwcqChTRxROxzDfnWyzC82gV3RIkTxT5eQ/8C6b9mie7KfIHdeNGFKMaKA8YHYcCdCzXEjvz/xSY5AEJavAvEf3+YRW1LUTt9iYbDwHoyMJUABfg9vGl9wLr9OjT3u1BqgYwFwgr0CCk+PgHkOvAD14YjxoQJzDP5Oyy4MkeAhSXCowOIyUjAszmJeWn85kF8gvcHLzUcOlw5S740f9+/I7obf5C8YztVEEaG7/8wh+n2d8D9/fUC94FzuYwnAAsOQa6ziAIcQYeBKroIb1fK3MQbC/G2pkX3jpZy1Pb0BBLB03/BexfIRUVtwqGKx73jvIcEJPi9O1a9w4DAeLI6/1B6Ao/H87tmrjMFCH11QinASDnV+O4+mL29DvyE2PjH8y4+8zbpBc5CBYDOx2573flZd4W+Lf97ytoB3ACb/4RHjTO2vtLGGYWihZcDw8X2dQ4NHQGfCYdCHP///9sFaflqRn39t72kABzB/b2SCDOCyX7Fvgp46sMJDhm/TnhtfGqHsAhgxliHEoNvNlAWO4HOf2YDPMRQ++UGTP1+9aZCWnpIeX2EqIImh4tDgIQTQEDxMYQsAz5HmbM9wre9+0KaQ2UG2H+1L2F2q/gRfcz3Y764Pu482g/aCOU1ur+SuyCCgvxbySjHVbfG+GFG/cV+guCJCVCxOGhBawxRAP56ccsBRwt9yfKxvRs/HPfVdnw7qf6g84N+DT/HRpHCj8UKgoVKX4ZiQvN2EnZjRQULsXuvwpaOrLesv9d/nEnzhDH2hw9n++Q7X7SSf9+7TTAdNMKCY/+wewnv74NaRiM9WH1l9Kc8zID0+6H+GMkIPWn6D3+bSxMz3I2GRgy4BrenQHH7KkL3gY+/4IdOjLh9Df15yfJ6UsKSu1d97k9dwE1Du8alu/cF7XOGe87BQ7uvg+r98vbmctv9M4DY+ojBc3r+gON0dH8D8tQstsd1u6SC8g5Of1oL+IGr/vN+g0USQ4l52cGgvss9rXo2dW61m7rFgpAPs4sQgXb4NQTAPNcDU/3L/MkKxn+kf9rySUMgq3D66DRcxgCzJzyQyUR+fsJiQQ1vHQoNS1R6ivyea6GxMrkwt2AC8bTX/gy9gHfr/ps1my8nRD/9I0Gqe9bA6j2p/GC4Mzf2f9p7bzWMyOb/c48kL8OJVr/mPRO4MH6+iJpKO8Mf+CeLVL80gWH4aMKeQd+E2MQ4fQ2CZMMsCLy5VYyHO6bP8gbTfEsHXPougCp+2fcURsS85IB5ecj/Srge+18rSLyfv//21vsvONJDXwZb/O0CY0bMBzhOV4aSQhlOhg5xiZAA1ggcBg/9skO/BJkCGHqnUKUA/YfhRZWIhDOVxKAA4Xb5hFExAotkU0kxMAEjPpFAN0I7OX3D6cwBDHa9N7zrC85HRgVdvUBBaz6pP4nCkzipe8gyMMEohpg/9cKo9jqCC0epexZMbAAnQOD3ITZRAbq5Ts3mwXk5JcswQhv0M3tTg+yCHApQfal+5QtPiHoHvTdNcarEbkoZdJUDLgQ/cx9BZroIwbH7r8IdQ+sA3PUA83t/g35FihFJH5EsTAkCFQnRAwmNvj6Ufr4E6PprQKpF9QXiPT4+9cgUM8w8SUxbfG8Hycs0dqHDZghSt6uG7Qfytl5I28uBRJQ18Ys0c6MI8IIDxWO8GEZquv52Xv90/c8BDrvtSbJInHjvd8jJ1H9AgY77l0Ixg/N30PZb8uw3grSciJT6UHqhf020PXpKBKkAGz9gRhL/6PZ9Orl5z4aP9PLG30FTNa5GsEGZ/Aa7ezxbiRQ/du80tkq6rT7MR7mAlX46w7oEl8QR/Xb/JHruRqSAIM0iS17CNOuliRA4izppMy2Gg48AwmPErf/DQrK594H8/4yG+D6mgWMGRUpHe8cKt4S8e6r7X72vQJB4boE6REl9GEoRy/YFalC1wYuFUHjGhhbCvL79/7pC0vvOvQLzxIynN/XFlI4ihPP0WsF+CmP74AbKg4O8BPbZOReHQXirBTp7ev2DPfP8BLwSe55GKkhaxqDDjYHvdIF6UfS3h2O4uEwShV/GL7YBwujGiPnrvys6n/dhwcG5RESleNT8zkiRQxszvgAACEIDuBHltswLpDhXAo+Aw772fWN+ez7pgMS6p/xnxBhIcgOLizGCHHmztBY6aMojQo/8ADl4xnu6pX6H9gfGrfl3vBfGfwUcvNrJuX7kew6JUINBw8xBnEWSAn46nISselRAR4cGfItAjjQbgP88WwGKR5qygr2aw1BDjXgGeBnAz3/kzWcw9gyZBW3Iq8Ss+fp1wLqbQB/ESPhH+uR/ZDdu9aPFMr5OgS8+Ksmufz1NUzcguLxBqEOWP+E6ZawJO4a/LQmbunx/QLyPQBPBlouIv/uz2nmDjG66drjXDNsAT/yOPBXAJUAIxyJB6z4HBvg+aPXPAIU783o394s5L8glNRvBh3ptvSrHdsc0/QP/loOEiNU+enZuCs1CWX3xQCF4ZbmNw/x5OzrVe35J439kvhyGk0C3LzA22YIVwOq45fmHCGP2UATpxKF7Vj5KOcd5uciBfpbJawAcupP4x/+GPIiCk7h0+If8yUMYQ6YChcZwArB+vcZQ+0c11vo/v4qs0fwqRcBAx/z/yS5/R/sgwj1DRDFTyPpu4MeWRx76SbYEPvj3eYZ6gXV/w4m+8s2+lcCi/ZbFg1EE/3lMRADuvUeH9fp7Blh4pflO+Xe5m4TBdZs45flnCk/Esr48PnE9X/qeNhzGRAoC/IO2rwlS/OU5UUlANHeKcMYagQE5z3sZPMCLqMkDRCY7d8P5RX499AF3AO2DVoN0A8r8RTjW8+R9cIKFx0Q67E21tB++evzxh/CG0Xi8C8R9IL7HAJ8AbLs4/y+zab+JO8/D1Id6CJX/BPkcOMHIc5A2hXJywHv3QH+tzfyMOmGFRQSnhSgAH8IPuTM4gIfGQ1EtrXlTAU28yXklxoRCM/7vAinB+IDZAbJ3mnyQgt0+y/8bj1TE2zZdxKdA8Q57t2aCQn6TRL0A0pFAMSW/WAtdPN/ErwUfRXcEM8rygvLEI4SNuAE9XwNmEnP9T4cJg4DASIqSwZJrUvLk9on5/4A7OcGEyLzQvZ/61H7Dgi4EQEV+PgmDLDypsvE7R0f9zY40tIK3MH1/I3/h/+P642yI/kw8BQLnAkqGebv+fIT4Nv4UeZqD7DqJx/I0mIADC99/TEL8u0C8X4S8P0NL0QWQAR+3GgYJiVS77P+RwRHy93cHwegJ7HYSRabDCn/YBQZD6MQgddO/X/HG/o0AffH8gLHP2bOAO3L6V3W+Puk/Hr8cBF0/DzthyqI+Bc59xPV9LHDOA367yzrsijKygrJxyV7Efns8QW8zjHrzNIoPEr8ugDT0Y3vM+HL/XcJc/KmCJM2DR6ouTz2+AiDOyMfEOY94XMRJ+Ugwl7z4vdZDVszig8R+yP5C/T4AkUkJh80N3/g6irNJvQDyQhlEdcEk/DcCO/tAAuV4G1ujBL86+Xzn/JOCgDxeyMWIRzsCBs/A8sDl/3DEEnylO9R1rkZSfUzKK3xLA1iB6ryaB82D/3clxu46n4E3AJy7U4dsx4SEZQH+Aym/BjlhSLdCOQbqN76/cf5wQv8LbLphxPIwoT7cOPiDZT5HwAv9+/4qfv8DZADVxAo9uLabsx0833J9uzi+FMrG8CW87T8SOm0FJH81tM49fXyXvSYAywJEwVP5iDzHvXADMLtEhHsI7MrnQmp97Xe6A7uAmIQbgWzH5/gmveY5un46jZG+ccIpgixHPgI5OktLXz7dP9d/XjP0QoM14H+TvW3U7kFx/S9060EzdEWAskZ9Pne5N0Ais0I0uv9/rivDlklLTBqLP0VnkvsBjAVgw+ACE4JrfTS5Rnv1+Ib9Yz2+vV8LAz2LAZKGlsQVwbhE2UdW+vAAx7xcsDfBkQDhwEZJ5f0Vc60E5sRJv2U3Y8A+EATM+7WxOQqCjbqmSRl8RAsCe8ZI8foFTNZ6xXCWwuj8SMKSeaP8hD3Dvs26zYnMfh8BpcXzO0D+FMTGN1BWf0YnN9NQsUSp/xs3aQKVxcvKMzMWhGVA4oC2Q0nGPP6Zerq9hUBAtkO/z8YU+Vv7dY3KBfUKJ8EM8cP6AwcYOUQ9uACBRU5Lr4rIvF0AOkYnCZc5YgPMweH5WULCQcnBSoOK+ONAt/89ej2z5PuoRRhBx4Hx9pfzm4CdiZ9JjOSs/yeCLD2c+sD5Sb/mfdTBZHcKv/fG2n3WAdZ1/P0WwgH7gvsegunKIzrNyX80B7p6v3B0wIJxhUeOksEcvtvAnEHWMs89sAT5Qjk+j8nA/2t33HhoRpu/FPbbxq94hoAHx2s/wwZgQazA7ISGy/L493qXBDb15rzcA7AFhok+RYZ4dsnZ+DqD1v679U6IssDcRdF86z57NvXEJgHixyiA9XxmxBt54UJjNep+Ijx79Yw4JEGQwf9HSz6k8ChRBcK5AVdw6s+3fT11JAu81JyNCwDmdyD7pj69LjE+8T66udBD9jvpeBy/zH3HgHa7r467efjGbXioPDyEeMNqvg6+d709QPDKOHdXOyU12r+G7j6IGzVSMuMBxszYSoj57wZHP0C1xcmO/yn6F/bkxvC67b+JOpKGqhFILxaHRESVSzr/bwLXyBm/0APsihFCJPpqfzTCwrbDfuf7+v34Pah604BU+e79/gLJPbA5l9fJPDMID34Uv+F+eYJqwgN2hPqAwr/IugwWOpTCr0jFQX9ylYqgRB2CfkZGeeeCzLRucRrAj7R9q2k9e7XwPAR+RIH2BlkG0DVf/Hd7tDnW+RmMX/6ViTTFaLyDwHO1mwGLPWJwNAWT/lsFKUceysz84/yfwCp2azduw/P1If3bdYMCMwcQP40+YEAw+qq/+/r9BLL7kjuJ/Bh6XXvttoAB95Fl7EM8ZcbDe+3LDqm/CZCEubaENh08kfflwVpMPHv1dk6CiYHpRPfAkHw3xyzAqD2XBlSKLYRx/z79tEHIjnRB/v2x/y2EVIoXBmg9rMC3xxB8N8CpRMmBzoK1dnx72kwlwVH33TyENjm2kIS/CY6prcsDe+XGwzxl7HeRQAHttp172HpJ/BI7svu9BLv66r/w+qBADT5QP7MHAwIbdaH98/Uuw+s3anZfwCP8jPzeyulHGwUT/nQFonALPVsBs7WDwGi8tMVViR/+mYxW+TQ593uf/FA1WQb2BkSBxH5wPDu16T19q0+0WsCucQy0Z4LGef5GXYJgRBWKv3KFQW9I1MKWOroMP8iAwoT6g3aqwjmCYX5Uv89+MwgJPBfX8DmJPb4C7v3U+dOAaHr4Pbr95/vDfsK29MLqfyT6UUIsihAD2b/XyC8C+v9VSwRElodILyoRUoaJOq2/sLrkxtf26foO/wXJgLXHP28GSPnYSobM4wHSMts1fogG7hq/pTXXOzh3cMo9QPe9Dr5qvjjDfIRoPC14uMZ7ee+OtruHgEx93L/peDY70EP6ufE+sT79LiY+oPumdwsA3I081KQLvXU3fSrPl3D5AUXCqFEk8As+v0dQweRBjDg79aI8an4jNeFCW3nmxDV8aIDixyYB9cQ7Nus+UXzcRfLAzoi79Vb+uoPZ+DbJxnh+RYaJMAWcA6a89vXXBDd6svjGy+yErMDgQYMGaz/Hx0aAL3ibxpT2278oRpx4a3fA/0/J+T65QjAEzz2WMtxB28CcvtLBB46xhUCCcHT6v0e6fzQNyWM66coegsL7AfuWwjz9FnXWAdp998bKv+R3FMFmfcm/wPlc+uw9p4Is/wzkn0mdiZuAl/Ox9oeB2EHoRST7vbP9ejf/I0CK+MqDicFCQdlC4flMweID1zlnCbpGHQAIvG+KzkuBRXgAhD2YOUMHA/oM8efBNQoKBfWN2/tU+U/GA7/AtkVAer2Zerz+icY2Q2KApUDWhHMzC8oVxekCmzdp/zFEk1CnN/9GEFZGN1TEwP4zO2XF3wGMfg2JzbrDvsQ94/ySeYjCqPxWwsVwlnrFTPH6BkjCe8QLGXxmSQ26ioKxOTu1hMz+ECPAJTdJv2bEbQTVc6X9BknhwFEA98GcsAe8cADW+tlHeETVwZbEEoaLAYM9nws+vWM9hv11+IZ79LlrfROCYAIgw8wFewGnkv9FWosLTBZJa8O/rjr/QjSis3dAN7k9PnJGRYCzdGtBL3Tx/S5BbdTTvWB/gzX0Qp4z139dP98+y0t5On4CLEcpgjHCEb56jbp+Jjmmvef4LMfbgViEO4C6A613qn3nQmzK+wjEhHC7cAMHvUg80/mEwUsCZgDXvT18jj11tOR/LQUSOm0/JbzG8BTK+L49ux9yXTzbszi2ij2VxCQA/wNqfvv+C/3HwCU+eINcOOE+8jChxOy6fwtwQvH+fr9qN7kG90IhSIY5ab8+AyUBxIRsx5OHXLt3AJ+BLjqlxv93DYPaB+q8mIHLA2t8TMoSfW5GVHWlO9J8sMQl/3LAz8DCBsc7BYheyMA8U4Kn/Ll8/zrjBJtbpXgAAvv7dwIk/DXBGURyQj0A80m6ip/4DQ3Jh9FJPgCC/Qj+RH7ig9bM1kN4vde8yDCJ+VzET3hEOYjH4M7+Ag89qi5DR6TNqYIc/J3Ccv9M+GN79PRugBK/Cg8zNIx67zO8QX57HsRxyUKycrKsigs6/rvOA2xw9X09xMXOYj4hyo87XT8cBF6/KT8+Ptd1svpAO1mzsc/8gL3xzQBG/p/x079gdejEBkPYBQp/5sMSRax2KAnHwfd3EfLRwSz/lLvJiVoGH7cQAREFg0v8P1+EgLx8u0xC339DC9iAMjSJx+w6moPUebb+BPg+fLm7yoZnAkUCzDwI/mNso/rh/+N//X83MHSCjjS9zYdH8Ttpsuw8iYM+PgBFbgRDghR+3/rQvYi8wYT7Of+ACfnk9pLy0mtSwYiKgMBJg4+HM/1mEl8DQT1NuCOEssQygvPK9wQfRW8FH8SdPNgLZb9AMRKRfQDTRIJ+poJ7t3EOZ0DdxJs2VMTbj0v/HT7Qgtp8sneZAbiA6cHvAjP+xEIlxol5DbzTAW15US2GQ0CH8ziPuR/CKAAnhQUEoYVMOk38v633QEB78nL2hXOQAchcOMT5Ff86CJSHT8PJO+m/r7N4/yy7HwBHAKC+xH08C9F4sIbxh/r83751tCxNhDrFx3CCpH1W88U4yvx0A9aDbYN3APQBfj35RXfD5jtDRCjJAIuZPM97ATnagTDGN4pANFFJZTlS/O8JQ7aC/IQKHMZeNh/6sT18PnK+D8SnCmX5WzjBdZuE97mO+WX5WHi7BnX6R4fuvUQA+UxE/0NRFsWi/ZXAjb6+8sOJtX/6gXmGePdEPsm2HvpWRyDHum7TyMQxfUNgwgf7Ln9/yQf8wEDqRdH8Cqz/v5b6BzXQ+33GcH6wAoXGZgKYQ4lDB/z0+JO4SIKGPIf/k/jcuqsAFslBfrnIh3mKOdY+YXtpxJAE4/ZHCGX5qrjVwNmCMDb3LxNAnIakviN/fknVe3s6/HkNw+W5oXhxQBl9zUJuCvp2VT5EiNaDg/+0/TbHKsdtvQd6W8GlNS/ICzk397N6BTvPAKj1+D5HBus+IkHIxyVAFcAOPA/8mwBXDPa47rpDjFp5u7PIv9aLk8GPQAC8vH9bum0Jhr8JO6WsITpWP+hDvEGguJM3PU1ufyrJrz4OgTK+Y8Uu9aQ3ZH9H+sj4X8RbQAC6unXs+evErciZBXYMpzDkzXtBevLQwA0HMkADAkJRJjy9vwrKwfWMP8I7m0C9++UHDwpR9nV/Kf2JQTiICb/IDmH7A7kYArJFHolltJaFVn/dgBfAbTmoyr7xaz9o8EU90Y5B+suud8KMT0g198BEwIs6XL6aQNXGkkDSBmr7goAaCY9MZXd5TwG/3Ai8S/78NMUPa/3+wwFwger1+5C9xjzDL0TLkS0AVcg6ibsCmoetP3qC2nJi/bj/SYNJ+rS77r/mxh6C9sijh3KypL68wYq/eDwzB3n9HXwAgEDOKo8Dh0qGIgUJiMeCj3inPhtBXztA/bgC87s29vm7kP+3O50zY8LGSTG8rnw0vyqRQobUt8nGlLwVgL+7+36cyKk413w4ffB9esGqd7RE48NtO9dBbENnPLHM0UDDvCpxdTwJDm07nkHiPD7CJQbPtiuDED9VAOCF7MiQOlJD08ihww79sT0XxQhFzkAYvM1+JkNCRh38mkcFReNupIUKwaBAOwN3SK1A8tFKRN9E3wcKuDrNIrjZhZ85a3WJwii9hrWgOjhNY3NU+/Yw94hQLz5GA0XGOHcFWYDtwNT0cLxxdTz0iUcfESExIf5piP90snzNzW3B40PuNKgGzLYqeUa4dwRqMIvHL0c2DSFDfPLtQiE4lrCk/aBMVbk6eMvJvfVFQ9E804e69Wd7m0AeCul3SwCURg5DRgKHdLP+fAjKuVgL0X+/vnE8oreS8ZgCjgA3CVO+8vymAm7GUQZTjQ8CU8IbRMcRcnuKgME8bzzvQ/P5A4Ikvh5JjcnizV+15sZiQv5648QNtLy3FX3o/d+KgQFWOyX0PbZbgHK5YYmrfLlMtmwDwRt8UgC9BS05Hz7w+aQ4+bsSRfR7fvtLN783Ynw/uUuBav7uRhSDg3sOt+oC234mh1BGucrbB6x6+z6NxldL8T0Skeo5NscuTK9HYTJmOUgItjnOwh7GIXlPBNO9ePaV9X6zRsX1dVi8xIeuBdi+N3368Nh4yXXKil802HwxPn+1oQSAdtu64vIb/f7/MbInghvwMPDBin55ST0/ApH7kju1Ano8wH9vOiCAnwpXDdWCN/sa+/XC375P9moBmretOcm4IYX3wOfvYUOWu8RGwsFrPCmPCvvN/j7qb/QvbPu8tK7qPXHBEEW9yASPqDlAB1m9nj7scjL80kHbQZZ4kvqlR1eHC0g+y+86egFhepl7t4i7Q73Jsr4Nv7Cx1bOBB2NMpEexSjrwDwDIQz5HBgftwUOEyPiKCZICPwAqNvmLagf1OboAObsU8P9844WXelsvNXFM+1/Q8rk2hqOFRQzghXtILRauw8sDzINUgAqI+f7+TlB5/8WZwnCQy7y+exP5vkUkysMIK/ydPgNBoj5IfFdzgfXDA6CIezQSAVwpgj7H9027EMQdQ+q5z4vZvyfLpoefAaYxiflbB3uGAsOeg8x7NkjAz9r2rPugfK1PTwfDthX6/ER/CwmBtvRaNOP9z0XuwrD2HUfwcxAsqkAxR/+5mv+Q/mNNbPwbfIt6UU3AeITzP/OwNQQH20CFOX/BXIrWvEdD3DIi/fy/SYI0PcyHl4JROVq7D8mq/EqCDwI2tFlKfkNuwGp5IsxjN+s8Wow+Lf9NMz7299XOnD/Dv6yBIME7QdL0aHqOvta/HQnnfmn9fjN3OlnHfsXV+j+1VX5mhfCD7UclkI7JRkKsieDKn/4zvkTLv4NNBIbw2DGzAskALndLPgT5svTUPeLH47zWgoY8EATMQ5t+fbqA9kfHPAL2eJI/vwJ3y1T0Q7I+uDHSiATWw5nDmngOvTzGj8LwSa43xANoNYv1/v0SuHf8j5O1NomFV/3ufwNE8PZFeHpG0oYSvZCEhIBoAN159nWHewN8DcdSh+P5P/j+ATJvSDmBSdeFt75J/d7CsbdnQc606XbqA7wN/wjNQMa4gAEdOOYFuj24v/gD5sK3914GFv88v0Q7LX9JShuKKoDXB599pr2sfrWJVQHCeSb9/8SCfQ29RESgO74NdvftyLd/NPrWO4BzT3CcC+H3lUAnMzuGCcCLzSq56Mk//bE77/xGN7CCmn8pv+EZQIYRPbb+wMXzO356zYXuuxb+An2MO3h9VtKg9XC8379bNBw7b4eZeIl9zEI5iQ2AGwG/w4/D0fxU+Z244T1lQvB/6YmHe+GKj/4rdtCBooagPOA3Ozi/ABEJx7MSumsLWXewRhC54PwKg9k3swrEP2i9G3UVP9gEBI1SBC+A5HnW+ZPC+UMSP9Q7SYNwQ0K/xMA6eKg0JIIdtTHJN0EBuIX6vwozxZEKLT0yhh0/YPlXPAw+/ApfuJTL6PpxPedIlC+WekQEw7MUxUt6ysm/gu36DMijxETJqABPhXH9YcI4/bIFWULnhvX9SzjAhleG0gX7PY2AxP3WfsFukfvqPnHB3ouRviP8EsB7PzB6+D3lPGtEM4iHvW2Gg0HRhA46agdxQJ63c/Fqtm3H9sZvihj5eH9qC4S6aUTqAne924qIhZGCUL0TPzFJT/5mfeV+HgZ7BFt1fwEp/WnCULnRvRl/gD8phX+CfnqYgdeHoIZx+wuEwYN7vJv2q73ve9zAl/R0ghF97P7EPv1FFf1+u/35zj9+fz36t7s8di7COdBpvWyKHkLPyR73CrZtgRK5ffgrO8DAfRKCTUY7yfrjPmKRDja4Bl3C4rquBM47C0GYPHOHEz7Q8mW4UEDEfQMIa3q2QVdAxzlsjaUGynjlBuyNhzlXQPZBa3qDCER9EEDluFDyUz7zhxg8S0GOOy4E4rqdwvgGTjaikSM+SfrGO8JNfRKAwGs7/fgSuW2BCrZe9w/JHkLsiim9edBuwjx2N7s9+r5/Dj99+f671f19RQQ+7P7RffSCF/RcwK97673b9ru8gYNLhPH7IIZXh5iB/nq/gmmFQD8Zf5G9ELnpwmn9fwEbdXsEXgZlfiZ9z/5xSVM/EL0RgkiFm4q3veoCaUTEumoLuH9Y+W+KNsZtx+q2c/Fet3FAqgdOOlGEA0Hthoe9c4irRCU8eD3wevs/EsBj/BG+Houxweo+UfvBbpZ+xP3NgPs9kgXXhsCGSzj1/WeG2ULyBXj9ocIx/U+FaABEyaPETMit+j+CysmLetTFQ7MEBNZ6VC+nSLE96PpUy9+4vApMPtc8IPldP3KGLT0RCjPFvwoF+oG4t0ExyR21JIIoNDp4hMACv/BDSYNUO1I/+UMTwtb5pHnvgNIEBI1YBBU/23UovQQ/cwrZN4qD4PwQufBGGXerC1K6R7MRCf8AOzigNyA84oaQgat2z/4hiod76Ymwf+VC4T1duNT5kfxPw//DmwGNgDmJDEIJfdl4r4ecO1s0H79wvOD1VtK4fUw7Qn2W/i67DYX+evM7QMX2/tE9gIYhGWm/2n8wgoY3r/xxO//9qMkqucvNCcC7hiczFUAh95wLz3CAc1Y7tPr3fy3Itvf+DWA7hESNvUJ9P8Sm/cJ5FQH1iWx+pr2ffZcHqoDbiglKLX9EOzy/Vv8eBjf3ZsK4A/i/+j2mBZ04wAEGuI1A/wj8DeoDqXbOtOdB8bdewon9975XhYFJyDmyb34BP/jj+RKHzcdDfAd7NnWdeegAxIBQhJK9koY6RsV4cPZDRO5/F/3JhXU2j5O3/JK4fv0L9eg1hANuN/BJj8L8xo69GngZw5bDiATx0r64A7IU9HfLfwJSP7Z4vALHxwD2fbqbfkxDkATGPBaCo7zix9Q98vTE+Ys+LndJADMC2DGG8M0Ev4NEy7O+X/4gyqyJxkKOyWWQrUcwg+aF1X5/tVX6PsXZx3c6fjNp/Wd+XQnWvw6+6HqS9HtB4MEsgQO/nD/Vzrb38z7/TT4t2owrPGM34sxqeS7AfkNZSna0TwIKgir8T8mauxE5V4JMh7Q9yYI8v2L93DIHQ9a8XIr/wUU5W0CEB/A1P/OE8wB4kU3Lelt8rPwjTVD+Wv+/ubFH6kAQLLBzHUfw9i7Cj0Xj/do09vRJgb8LPERV+sO2DwftT2B8rPua9oDP9kjMex6DwsO7hhsHSflmMZ8Bpoeny5m/D4vqud1D0MQNuwf3Qj7cKZIBezQgiEMDgfXXc4h8Yj5DQZ0+K/yDCCTK/kUT+b57C7ywkNnCf8WQef5Oef7KiNSADINLA+7D7Ra7SCCFRQzjhXaGsrkf0Mz7dXFbLxd6Y4W/fNTw+bs6ADU5qgf5i2o2/wASAgoJiPiDhO3BRgf+RwhDDwD68DFKJEejTIEHVbOwsc2/sr49ybtDt4iZe6F6ugFvOn7Ly0gXhyVHUvqWeJtBkkHy/OxyHj7ZvYAHaDlEj73IEEWxwSo9dK77vK9s7/Q+6k3+Cvvpjys8AsFERta74UOn73fA4YXJuC052reqAY/2X751wtr79/sVghcN3wpggK86AH96PPUCUjuR+78CiT0+eUGKcPDb8CeCMbI+/xv94vIbusB24QS/tbE+WHwfNMqKSXXYePrw933Yvi4FxIeYvPV1RsX+s1X1ePaTvU8E4Xlexg7CNjnICKY5YTJvR25MtscqORKR8T0XS83Gez6setsHucrQRqaHW34qAs63w3sUg65GKv7LgX+5Ynw/N0s3vvt0e1JF+bskOPD5nz7tOT0FEgCbfEPBNmw5TKt8oYmyuVuAfbZl9BY7AQFfiqj91X38tw20o8Q+euJC5sZfteLNTcneSaS+A4Iz+S9D7zzBPEqA8nuHEVtE08IPAlONEQZuxmYCcvyTvvcJTgAYApLxorexPL++UX+YC8q5fAjz/kd0hgKOQ1RGCwCpd14K20Ane7r1U4eRPMVD/fVLybp41bkgTGT9lrChOK1CPPLhQ3YNL0cLxyowtwRGuGp5TLYoBu40o0Ptwc3Ncnz/dKmI4f5hMR8RCUc89LF1MLxU9G3A2YD3BUY4Q0X+RhAvN4h2MNT743N4TWA6BrWovYnCK3WfOVmForj6zQq4HwcfRMpE8tFtQPdIuwNgQArBpIUjboVF2kcd/IJGJkNNfhi8zkAIRdfFMT0O/aHDE8iSQ9A6bMighdUA0D9rgw+2JQb+wiI8HkHtO4kOdTwqcUO8EUDxzOc8rENXQW0748N0ROp3usGwfXh913wpONzIu36/u9WAlLwJxpS3wobqkXS/LnwxvIZJI8LdM3c7kP+5u7b287s4AsD9nztbQWc+D3iHgomI4gUKhgOHao8AzgCAXXw5/TMHeDwKv3zBpL6ysqOHdsiegubGLr/0u8n6iYN4/2L9mnJ6gu0/Woe7ArqJlcgtAEuRL0T8wz3GO5Cq9fCBwwF9/s9r9MU+/DxL3AiBv/lPJXdPTFoJgoAq+5IGUkDVxppA3L6LOkTAt8BINcxPd8KLrkH60Y5FPejwaz9+8WjKrTmXwF2AFn/WhWW0nolyRRgCg7kh+wgOSb/4iAlBKf21fxH2TwplBz3720CCO4w/wfWKyv2/JjyCUQMCckANBxDAOvLu9qIGwIyZi8h5qLzmAmpCs4b/fnxJUTklAei9hLbYtqwAIT8ig0K/f8uzgnfGzICixg38eXmWAhZ+cMRRhwx/dbFtRIr8yX2tP4hG8A1nu7923D83znq2Sn9UyYf/RbUtvdINH/y7c6hLk7dbvoq/aMO0x6MAEfx3gdH9znqsgeo/F0lVODQ2Fjk1RXs4Mc13f6E+Uvm1Q6636IB9O3c/I0D/wU7Ai8Ib+Op2MMGpOoT7JXTsObpEO7THvvJUZfshA8nFK30lRfY2QzOJQOk9goAQtLlBvMtdg/dDQ3U2fyN5WYUFREu6p8L4iFc1wPlGzb1CVQHvNsS+dzOufnq9BYciCDXMpHf8RKQDAUUwiPL/O8H9Q6xCHL0aSpM8sMVfeNkQEcCsOLUIVj2YxMf7LnLFfTB64MO9MqmEPsYVfuVwd7kJBxMA4HoJEHRKfIkEPmfCRv3DhGeFoz5PPEP/Eg4YDj9DLcci/Wr1dP2PQjIIBcNpxuB7QY5Izdd6r3rNCc6E0o18uijC47nTxaXEnY0TeM74WW/Weo++gLxDhBI5Z3/S/mzASEtZwxsELkDFTwnGeYI0tyO1VcTxdUH7EcaYRq8HY7nL1JU5NUhggRRwhIUUOOIA1rkUwit65AsBSFRyD4W5tnwN526GPCM1sTHrzRIAjgJ/Ac36bDbAwIW7mDVWtfkHOQf1tWuHwcQWAsc17T1mCzK8W0OQv5dCRHolxk3CWz/RfNOuvpWjwVsEMn+GyYe/R0c4yuj54Bdiekc/M/pbNuNGYUBpLjrMF0F0QbWDsvVKU0fBsfwutF4NQMfePJ0MPblKvbLuQjgLRDoHJfkMg/ZGBYqRvpOE/QDZuEv333o2xvtw6oHNQl5v6fcNxQqNXYPufKSAmE4R8nS6QL3FRg5MML7+R7+AtM2WfdNAKESQwQDyAwSm9JcGAzX+wZZBF377/Yp5HgFtfL7AbIWDBaj/tj8jBVqB/HEivmgBbD7swRw5O74O+iUHQoTL/L12jjROu0pI6H10/Zr/iLQXd8VvQYIwRsjIQf6mzwa7Bl6aBS6x0kJFRKG+5cP4Nq2AIH3oR+z/bkAViTCBD/++xDr+wneBAT6F4/lA/uE2jjxVftU9H0CpuN++6X+teNTJN4Ga/IpH6/jFP5dG/frhe2QOL05Gug6xbEX+N+WDL2uixa7UfT1/wsKVZnePwQcL7HQITiD3VIhnxMH+cf4mM/K+YzpMvdXCI8HSQeo44z6URi/HNHPAP28LusCk+6dBEg2AwzcD8nTA88DIuv5BBw3GnoTavNrKHsGFNHv0pkW2u0F6a837gjCDvEXKQxr3OLt9Q8JCSQ9zdp0Ga3ZyAEO62zwtxoYAtsOev0x3T8M+cdv79cAh+Y6IR/bxsqYFl0qCt57xnAUpA1VADj+OtYJLUX/zyG794fo2i4hE+r74uTe+5Loax+qI5ze2PKSJYPgKgEGqePvYP53DCUGCA3Awd0XBPaL5cEO9d6t5UQZbgRZ/979RthrJq//4g7eGBf7dgI1BzgCrAmUAZbpk/AOtLXrKulQ64sdMgKxz9wgAf8XBOke7wtuD6Yr5hle3moFZ9+vL6jrqv31Hzz6i/zrxtzgRutsUuH5dfxuMMkL1xCq7WYE0PmA8dg89gG8Jfzy4/3KFIncrzMa+3/ZvgiRLJL5ABWj9ZHqO/We3/cEKkihFH3fmhbr7sQTavTIG8n1o0NTXcYUVO6HYC7Y0wfZD6/ilRIqA4a9CCqe5r/gPPlg8ODA6xGDyvIQV+re5kEVVf6X+fIVs+0vKh8OphpsBZ4H3AfpJPb7thZuFtb6eR5LB9guRg3iz2MfHwTtFZf9Nefq8wH/lCMgGdMhbhSvnVnnxfuJ/A4E9xWNJccQoucB7rH0oPeADG39PSRi8b8hjBnSG+UI0eZhL/ZSYAgW+drv9C/48C4zFPhmsokIk/qO2VLxO+ECIKDgcSPW/mpI8QZm3e+87rokBCwSHwzM9tEWSgXx/6joKATZHeLtBNnnsW8HCfhLDKwY0A7UHkMJa0Mx+BIwC8QU2C8ngwCHG9cAS/YADQUe4A1Lv54Lvv1j0o0IItvY4GQYwzos/70dhtqA39YasfJBBtnO19IP5wHNlvhV72kF2gb/BzDxHxgH7JYNxwtUy3jHsBA94h3vKQHA7FMbI+Qi/PTjdN2r5Ab7ASZDFBfZfuLxBUMcZQIIw/gYbweuMBAOKh01LjQW/ujiOKD/hwNf6gQeDQmE+c4kRhqL/XIQzuz4+ToypuK1+Ov+3eez60TedxUv5uoE6+elDDsb7/oL2K7tBOee8nrnUh6ut5j1tA3Z8FbV1RiR634AQiGq5A39Jc0B5jjemRlk+48HjSXDzIfXFfLI7BDHWCH0H0Lu7ffHET711RPG9OPnReE0DpfREMQiCQkI4vrp7+/3Uud17jsJehOGGE/+IfKksxQwmhPvEXz1GOYc2rbogPoeF+4eydrF2B/4hPQ/+//srA+xFTjanOidFqIPjDdv8AP5nCwWRZX7PPte5Cv3SeRf36HmPeNd6NbXEzXdGT4Iey15D3UVROqq7TIe7/xIMrr2N/MXIYI4YP/OBxnkogUN18T55vH2zBHnLP5s6UcHv85a4EDzBAb8Mn/zyQxuCGnZg/RxHH8dX+lp9Wz5XOuy8vnjEQu37mIfsDkxJI4IZvzf82v37/13A4r2CDXk+GjcJSLuGloI7e7/EbkyXisUxV4ruTL/Ee3uWgjuGiUiaNzk+Ag1ivZ3A+/9a/ff82b8jggxJLA5Yh+37hEL+eOy8lzrbPlp9V/pfx1xHIP0adluCMkMf/P8MgQGQPNa4L/ORwds6Sz+Eef2zObxxPkN16IFGeTOB2D/gjgXITfzuvZIMu/8Mh6q7UTqdRV5D3stPgjdGRM11tdd6D3joeZf30nkK/de5Dz7lfsWRZwsA/lv8Iw3og+dFpzoONqxFawP/+w/+4T0H/jF2Mna7h4eF4D6tugc2hjmfPXvEZoTFDCksyHyT/6GGHoTOwl17lLn7/fp7+L6CQgiCRDEl9E0DkXh4+fG9NUTPvXHEe33Qu70H1ghEMfI7BXyh9fDzI0ljwdk+5kZON4B5iXNDf2q5EIhfgCR69UYVtXZ8LQNmPWut1Ieeuee8gTnru0L2O/6OxulDOvn6gQv5ncVRN6z693n6/61+KbiOjL4+c7schCL/UYaziSE+Q0JBB5f6ocDoP/iOP7oNBY1LiodEA6uMG8H+BgIw2UCQxzxBX7iF9lDFAEmBvur5HTd9OMi/CPkUxvA7CkBHe894rAQeMdUy8cLlg0H7B8YMPH/B9oGaQVV75b4Ac0P59fS2c5BBrHy1hqA34bavR0s/8M6ZBjY4CLbjQhj0r79ngtLv+ANBR4ADUv21wCHG4MALycU2AvEEjAx+GtDQwnUHtAOrBhLDAn4bwfnsQTZ4u3ZHSgEqOjx/0oF0RbM9h8MLBIkBO6677xm3fEGakjW/nEjoOACIDvhUvGO2ZP6iQhmshT4LjP48PQv2u8W+WAI9lJhL9Hm5QjSG4wZvyFi8T0kbf2ADKD3sfQB7qLnxxCNJfcVDgSJ/MX7WeevnW4U0yEgGZQjAf/q8zXnl/3tFR8EYx/iz0YN2C5LB3ke1vpuFrYW9vvpJNwHngdsBaYaHw4vKrPt8hWX+VX+QRXe5lfq8hCDyusR4MBg8Dz5v+Ce5ggqhr0qA5USr+LZD9MHLtiHYFTuxhRTXaNDyfXIG2r0xBPr7poWfd+hFCpI9wSe3zv1keqj9QAVkvmRLL4If9ka+68zidzKFOP9/PK8JfYB2DyA8dD5ZgSq7dcQyQtuMHX84flsUkbr3ODrxov8PPr1H6r9qOuvL2ffagVe3uYZpituD+8L6R4XBAH/3CCxzzICix1Q6yrptesOtJPwlumUAawJOAI1B3YCF/veGOIOr/9rJkbY3v1Z/24ERBmt5fXewQ6L5QT23RfAwQgNJQZ3DGD+4+8GqSoBg+CSJdjynN6qI2sfkuje++Lk6vshE9ouh+i7988hRf8JLTrWOP5VAKQNcBR7xgreXSqYFsbKH9s6IYfm1wBv7/nHPwwx3Xr92w4YArcabPAO68gBrdl0Gc3aJD0JCfUP4u1r3CkM8RfCDu4IrzcF6drtmRbv0hTRewZrKGrzehM3GgQc6/kDIgPPydPcDwMMSDadBJPu6wK8LgD90c+/HFEYjPqo40kHjwdXCDL3jOnK+ZjPx/gH+Z8TUiGD3SE4sdAcLz8Emd4KVf8L9PW7UYsWva6WDPjfsRc6xRrovTmQOIXt9+tdGxT+r+MpH2vy3gZTJLXjpf5++6bjfQJU9FX7OPGE2gP7j+X6FwQECd7r+/sQP/7CBFYkuQCz/aEfgfe2AODalw+G+xUSSQm6x2gUGXoa7Js8B/ojIcEbBggVvV3fItBr/tP2ofUpIzrtONH12i/yChOUHTvo7vhw5LMEsPugBYr58cRqB4wV2Pyj/gwWshb7AbXyeAUp5O/2XftZBPsGDNdcGJvSDBIDyEMEoRJNAFn30zb+Avkewvs5MBUYAvfS6UfJYTiSArnydg8qNTcUp9x5vzUJqgftw9sbfegv32bh9ANOE0b6FirZGDIPl+ToHC0QCODLuSr29uV0MHjyAx94NbrRx/AfBilNy9XWDtEGXQXrMKS4hQGNGWzbz+kc/InpgF2j5+MrHRwe/Rsmyf5sEI8F+lZOukXzbP83CZcZEehdCUL+bQ7K8ZgstPUc11gLBxCuH9bV5B/kHFrXYNUW7gMCsNs36fwHOAlIAq80xMeM1hjwnbrwN+bZPhZRyAUhkCyt61MIWuSIA1DjEhRRwoIE1SFU5C9Sjue8HWEaRxoH7MXVVxOO1dLc5ggnGRU8uQNsEGcMIS2zAUv5nf9I5Q4QAvE++lnqZb874U3jdjSXEk8WjuejC/LoSjU6EzQnvetd6iM3BjmB7acbFw3IID0I0/ar1Yv1txz9DGA4SDgP/DzxjPmeFg4RG/efCRD58iTRKSRBgehMAyQc3uSVwVX7+ximEPTKgw7B6xX0ucsf7GMTWPbUIbDiRwJkQH3jwxVM8mkqcvSxCPUO7wfL/MIjBRSQDPESkd/XMoggFhzq9Ln53M4S+bzbVAf1CRs2A+Vc1+Ihnwsu6hURZhSN5dn8DdTdDXYP8y3lBkLSCgCk9iUDDM7Y2ZUXrfQnFIQPl+zJUR777tPpELDmldMT7KTqwwap2G/jLwg7Av8FjQPc/PTtogG639UOS+aE+d3+xzXs4NUVWOTQ2FTgXSWo/LIHOepH994HR/GMANMeow4q/W76Tt2hLu3Of/JINLb3FtQf/VMmKf3q2d85cPz9257uwDUhG7T+JfYr87US1sUx/UYcwxFZ+VgI5eY38YsYMgLfG84J/y4K/YoNhPywAGLaEtui9pQHROTxJf35zhupCpgJovMh5mYvAjKIGzE7/v691NMmlyf9A+vzVQNb+qfWwvFsI7cIWCb8Au0MhfxuH4sjnOd3Eaj0AMSv6YrjfdO7+Z4CL0Q63PH89x94KqkSrPh/K0/3uwL0y5juVeBpGmIEDixoD6n42Qg8FlrdAQ+gFcUF3vrAoqUAZf6KJaocbATz4ooGU+1o9JArm/TS6wwSbC/R6+wSyRVyAtgPoDPc/iQKfRYlBrQEGuG3Ubsfd/g5HF0JmvvDHnbd6yvTGCHxBTLl3sYYyWim7TbVdfLnIf7/nunYGE7ligzz9ljN8+uh/nsngwYF+431W/Do8jQokBOrQm73FhBBH0IeYw0hFIMi4tRG9XP4Lh4m7j4iICtA7NoRofojGv/acPql22okrsJJzC0Jhv5QHg8bgCRo+ff1Lwyk4xor2/Fd6rX0aBD6MsnUYfVJJG4iuhKtDSYOtQph9nAPH/PuL3U2zPr3617GKAaxGvLwsyaHz98ATfVE7+QfcAVx574FYtLRMobsRga44kjidSw3L23WOP6+BZz5kgwODBUJPQqLJ8rupAi4s3gMUtXq4ML8vRjmA+bYsBKZBhjoCwT6AsrfSw6a71P5AtmqAqIZcCUJBQr2fvSS5fIxsfzQ1KnPnAYCBYgKEwH7BioLoSh59Wn6W93I8+v9qBRV6kEep/NoK47Vg/Wz9PQfI/btEusZOuP/7KrEVfqqGQn9IBj5/4XZU/W6B8DpXvxb2uv9Pe/tHXfeuPuDDwDapPzW/Wj4TzLp2aj3Gzqu+w75TvhgBbf0lgS6CfP2xek0DSUNhQBqFtoIEwAF2UoLIvEMC6/WyRXVJqzxzRka+D0Rig2f+h0P9RiaAmMIYPWN82f/bM5q5JvjveLbEwX7Mx5t2bYcB/TNHGbjSgtjJdkVcPQxDJTYyuz16CAU8CDC/SoFIQg4PAnsyd3Z95bdReXGxjtDgvk6CbXpRSdkGDHVw86EDdf41A1jxNbpVf3m8DHABLog+LT6zOSMEi/RlPfZI5rrZO81vJ0v4fme2xYCWfE7Dg4V0wDT+zwAF+pACBcLXt0S1JjK2gjMG4DmcBVH6mf74/N9+AYWDB7VEk0abBgB6hIcYyAOOwoKXxdKP7z08/jCBEz2twZ7BDQUQBWaBor9Tu/nAEzyGhyqB7ori/F6G3smPA7z1sXv3fEPNj4ZqOfZ3JPbNSG9BuYK+fvc+lg45RJJ3zDYFBoOCp7rahzwBG8a2yBkA7z8n+Vp/03meU0PFpsdLBpbH9XxaQPX/D3hGOmaFffxEgpA54oDMRxw1zcm0xAR33Akc/Uo/G2jl/sRAmvkBv906yb9pyk8CAQ2FRQK8HYtzBW50uzIXvJVCm8l09R75w4MRBWp/q4mxx6MFKoFJQMcJp7z+RKyvdzuvQrD7bsTBhB44r3ayQgOt6T85kFE7vEc4v/oFNADpSLLNpn55/QoCA0T9fqc+NHpVO4IA/v4QRHe/6bCnTOMBNfqjBBe/tMSvfnp/8IKtRtE0OcYaSOZAzIJhr9K8EoAJvd5+LLxYBIrFNv1EsP58NQYOgAeHzD9lAaO9qLR/upMKc0xXusp+TY8d+/x8ur0EP76AXYR4/N50DDMXwZL7Tj20vguHjwFUvleGI4g+/xiQu/fqv3AKNXxFxg762wZuOZu/1rd9+0/qwHWLsh70jfilOG/6rvBgSM92TsI7gR3+fjR1gPDHAv4V+VL+gzmM9lc+KIO4xt06v0F5wpw/U/wf/r0GQMhrBWW3g3rkfGUA3kJ0PDxAC8G4ltn47MYXx8pCdQFOhZy+7k20g+28aEB+BGRIoMhyC489REsu70Uzun6qQxa4gbjufSG57jdKNxJ9y1CoccWMsDxWOz3zcUELAh0z7UkgvE2Uy/86zfW2Jjzgw1c2sILcdzJ70xFJBgr9hPsEhmK2zYMCbjJ2zDcve82JKkcVhkC4mMEDu4//RD5JvxwEkLyX9ILLCgPNAjiGQQG+SZCIePJH+I8FyPw8vvz6fsIOtri3tnkWD2bCp3vVwV/C8gQGz91BIsSjyRzG/wKMP0p2FzvudysPvDmh+8bEwG60+SjIHz4E+VJ+1vdZwIBBK8htP1tAoP/ofJC3YAT1xknNhELdwVV04cAOQoG+1wPLOqaAz0eweioH93gSyDqCwPx1hK0y9wQc+4CBZIs7DWgGdi3kx3Yy+Ls2/8m5zwWr9nk+FkdFQJZ2CUnjueT3LjbMkr2DAfiwQ7U5C3dKQvO+fcLsvV73zzkyf7gIt3/fDjhItnuJb1e8ToMwsd/C0oiX80VImX2VAFtGdwO8ewgI6YXfzrDARfRGQhQNmsPfPmluP8VBQDMx/n3ze6/3NEFqUu06MYHDB1K7A3u5NeNAIon2y4PEIPLF9///Pn2ADd/1vo82PR1/BYy0iW4FGwgOwNFBkfrninx2xDitdYaE1619drmCJQKuRLgIxAHwO7mt6/S4wOVGPMY8uWKAxfuawJX5vQEVNDCEo3eoiJ5JMfpeiY9DXYFVC3rSpb+buGD9mEV2fexKZD3/r2LISLychgDJ5YMNxasCFMgSQvcPoLiesN5AQUMxgTI7lrlJwnWKxr1TR+eMUwI4gYp80oMqf4aAcgjzgYd92sxlw27GvM3Yt4N168ADto72ZYunzGD17kI1MZf8YME3fnc6VLpA+8mHu0B+/iFEKProva6/mHigfdwCOAAFNGU91QVE/8+CeP6VwSjHfDuAd1QDagWxf/k74Yt4vOGLeTvxf+oFlANAd3w7qMdVwTj+j4JE/9UFZT3FNHgAHAIgfdh4rr+ovaj64UQ+/jtASYeA+9S6dzp3fmDBF/x1Ma5CIPXnzGWLjvZDtqvAA3XYt7zN7salw1rMR33zgbIIxoBqf5KDCnz4gZMCJ4xTR8a9dYrJwla5cjuxgQFDHkBesOC4tw+SQtTIKwINxaWDAMnchgi8osh/r2Q97Ep2fdhFYP2buGW/utKVC12BT0NeibH6XkkoiKN3sISVND0BFfmawIX7ooD8uXzGJUY4wOv0ua3wO4QB+AjuRKUCuYI9dpetRoTtdYQ4vHbnilH60UGOwNsILgU0iUWMnX82PT6PH/WADf59v/8F9+Dyw8Q2y6KJ40A5NcN7krsDB3GB7ToqUvRBb/cze7598zHBQD/FaW4fPlrD1A2GQgX0cMBfzqmFyAj8ezcDm0ZVAFl9hUiX81KIn8Lwsc6DF7xJb3Z7uEifDjd/+Aiyf485HvfsvX3C875KQst3dTkwQ4H4vYMMkq425PcjuclJ1nYFQJZHeT4r9k8Fibn2//i7NjLkx3Yt6AZ7DWSLAIFc+7cELTL1hID8eoLSyDd4Kgfweg9HpoDLOpcDwb7OQqHAFXTdwURCyc21xmAE0LdofKD/20CtP2vIQEEZwJb3Un7E+V8+KMg0+QBuhsTh+/w5qw+udxc7ynYMP38CnMbjySLEnUEGz/IEH8LVwWd75sKWD3Z5OLeOtr7CPPp8vsj8DwXH+LjyUIh+SYEBuIZNAgoDwssX9JC8nASJvwQ+T/9Du5jBALiVhmpHDYkve8w3MnbCbg2DIrbEhkT7Cv2JBhMRcnvcdzCC1zagw2Y89bY6zcv/DZTgvG1JHTPLAjFBPfNWOzA8RYyocctQkn3KNy43YbnufQG41riqQzp+hTOu70RLDz1yC6DIZEi+BGhAbbx0g+5NnL7OhbUBSkJXx+zGGfj4lsvBvEA0PB5CZQDkfEN65berBUDIfQZf/pP8HD95wr9BXTq4xuiDlz4M9kM5kv6V+UL+MMc1gP40Xf57gQ7CD3ZgSO7wb/qlOE34nvSLsgB1j+r9+1a3W7/uOZsGTvrFxjV8cAoqv3v32JC+/yOIF4YUvk8BS4e0vg49kvtXwYwzHnQ4/N2EfoBEP7q9PHyd+82PCn5XuvNMUwp/uqi0Y72lAYw/R4fOgDUGPnwEsPb9SsUYBKy8Xn4JvdKAErwhr8yCZkDaSPnGETQtRvCCun/vfnTEl7+jBDX6owEnTOmwt7/QRH7+AgDVO7R6Zz49foNEygI5/SZ+cs2pSLQA+gU4v/xHETu5kGk/A63yQi92njiBhC7E8PtvQrc7rK9+RKe8xwmJQOqBYwUxx6uJqn+RBUODHvn09RvJVUKXvLsyLnSzBV2LQrwFRQENjwIpykm/XTrBv9r5BECl/ttoyj8c/VwJBHf0xA3JnDXMRyKA0DnEgr38ZoVGOk94df8aQPV8VsfLBqbHQ8WeU1N5mn/n+W8/GQD2yBvGvAEahye6w4KFBow2Enf5RJYONz6+fvmCr0GNSGT29ncqOc+GQ823fHF7/PWPA57Jnobi/G6K6oHGhxM8ucATu+K/ZoGQBU0FHsEtwZM9sIE8/i89Eo/XxcKCg47YyASHAHqbBhNGtUSDB4GFn344/Nn+0fqcBWA5swb2giYyhLUXt0XC0AIF+o8ANP70wAOFTsOWfEWAp7b4fmdLzW8ZO+a69kjlPcv0YwSzOS0+iD4BLoxwObwVf3W6WPE1A3X+IQNw84x1WQYRSe16ToJgvk7Q8bGReWW3dn3yd0J7Dg8IQgqBcL98CAgFPXoyuyU2DEMcPTZFWMlSgtm480cB/S2HG3ZMx4F+9sTveKb42rkbM5n/43zYPVjCJoC9RgdD5/6ig09ERr4zRms8dUmyRWv1gwLIvFKCwXZEwDaCGoWhQAlDTQNxenz9roJlgS39GAFTvgO+a77Gzqo9+nZTzJo+Nb9pPwA2oMPuPt33u0dPe/r/VvaXvzA6boHU/WF2fn/IBgJ/aoZVfqqxP/sOuPrGe0SI/b0H7P0g/WO1Wgrp/NBHlXqqBTr/cjzW91p+nn1oSgqC/sGEwGICgIFnAapz9DUsfzyMZLlfvQK9gkFcCWiGaoCAtlT+ZrvSw7K3/oCCwQY6JkGsBLm2OYDvRjC/OrgUtV4DLizpAjK7osnPQoVCQ4Mkgyc+b4FOP5t1jcvdSxI4rjiRgaG7NEyYtK+BXHncAXkH0TvTfXfAIfPsyby8LEaKAZexvfrzPp1Nu4vH/NwD2H2tQomDq0NuhJuIkkkYfXJ1PoyaBC19F3q2/EaK6TjLwz39Wj5gCQPG1Aehv4tCUnMrsJqJKXbcPr/2iMaofraEUDsICs+IibuLh5z+Eb14tSDIiEUYw1CHkEfFhBu96tCkBM0KOjyW/CN9QX7gwZ7J6H+8+tYzfP2igxO5dgYnun+/+chdfI21abtyWjGGOXeBTIh8dMY6yt23cMemvtdCTkcd/i7H7dRGuG0BCUGfRYkCtz+oDPYD3ICyRXsEtHrbC8MEtLrm/SQK2j0U+2KBvPibASqHIolZf6lAMCi3vrFBaAVAQ9a3TwW2Qip+GgPDixiBGkaVeCY7vTLuwJP938rrPipEngq9x/x/DrcL0SeArv5fdOK46/pAMSo9HcRnOeLI24fhfztDPwCWCa3CGwjwvGn1lv6VQPr8/0DlyfTJr3U/v6MKNAeE/ASLrRR7xQEGgYMndkN5Jzjlhad5S8x6yI//+vxeAaVCpWwwNTEFfTzfhVWCezkJAGr/bXbpSYcLIK1p/vuBBzm7iZD0K30i+rd+mwAtht9CBbeO0juALnlCfJs8qEDp+2a8q/Rf/MhB9kWRvJi+WsJXfX35gEWLPJF/WMgVRE35nP+gfALDhwBR+sHE6/SkeQxARYcaxWZ6pgI9yjCGRv5+wsTBmwoFs83Jb7bUO5gGv4NjcRj66UIVxI0Ay3XXP7W1DIepfL5EmHxUDh/71pKMQZ7KyMEkdEJ94Am4NWMDBQLlAWuyg8RCe1fCc7gLPgE4n0XmgwpzPQImsB9GZUDzRBMFsgddBcjP/YZZffb7dv0Mf9qHSY9b+9lFgs2Gi0HKmTW4AtV6hbjJOGfJAb+lx99CbERJAc78I4KK9zu5iXymCpxKnYnmiQ4B2EPZfhXHtAAThv49O3/t+brBcEV4/v61OYO7QDCwI7q1+zvC2saLh43PlQSOx9WtSkWb/FtIK7jlewkKtQj2u7v1HkJMwPfDef90Oc0DvEQJxlkAvnOeQb19koNVefsJU/1c+9L+wLs5Sem9UP6xgYzHcI2oA0a/ZoM1yYxDUTaeCYV8hrYSvMxPhvzLh+1Oiz7WAPE5Cf2zzKl0CXoNithEPcyKEwEAecNCwuPFFX15gdaJHcI6AS4/tjm/f76+GXnD/7d89EyHwrIB53sWSI85FwUkfaXFJvfTgsHKOPxTSEsCkDlfCshHsiwiyby2zDi1xEDFL4KOtep21IRkBPl2ejmpgyi1Yf/JMtvHgLWGAiaFnvcMwlA/Y8rVDw5FaLV5P3n4S7lCvlw8O35LCzj40LzSPoI7Dop1eW3Bc75DQwzDl4o2Azk5VYddfZg6FgUPBwQKBvpOvsk348dpfEDEXDw6f3SJbb8weYPBtQbKur44yQGqP6y57q4X+P/40PhQxiwXdUD3Qfv/L0WdSZG9Bzg+Bv4/WTcxDA3JUj6VejAArI7dAWa8z0YzRJuFZomWyZs/KQN0uPdBUPhh9cM5MH6CQ4kBXnrcxDlAWzWrfIiEi1A/d0FGBgxS+WiGc/z3iDw/v0DIBDczdwfsQoXBjf9EOsEAMPJyBQc65AEENAl8LgVaB7q1TgGOvtBDUIdSUhGwpb/ePpYJ7XraxCWz+rt7gEc/TAd6hGF6bQHZPK1EzQbcgYnCmEhMQa8Mw7RItym9BMkPA/d/vLdYClDIwIR0PJ7KwCSUci68xT2AgAM7mMEg9sv7lTYzCNEFuj+7yO2I70Oa9wjGML0pc7uwYNPmDLkA+n3rvyYCn9JgOskALcBof4xDZYV7/F6ItQu6wAf7QQMRwJkF8PRJBx8C13mzgSRIWMAeROn9Qo63fLl+mosfPuwKIMYm/mRImI1RAU+PbsXojPh7QUJENjUDGQAfwsO25MRou1AFQLZMwVkHmEgFOhd4aXjVgUuGobuPQoKz83TPwgQ5bQFMwq43i33/9w232PVlgih/OoMuycXF/0XlvkIG8cBov6Z5YcofN/s4yQRcQQOGsT8bSP7Bs35heuxF9/YxNYd2bwHRsf7C1bvz/5rF1r4c9GU3pgp2+3rPYwGsfHb4Bwi2cN251LPDfWo79onBCqmE+UHM+mf9hgleir/OIbXw+GV6owO5/RlHZb49/oxJmjtuNUPDRPfsQJZ9Y/fZyCGFCPXKhjc/37lhvgG+1MteQWBKXENvMcv7wYBXhF7yfvv7yPnDLnnZT8O4LQQgv/+/XEJ1/BFFP/hkhS82GAuTBfI+qT+ltrdEQcFnBrnDfoOsPdaAhEMIQqiNavtLhfG87/QCOd39XAKSQSwGKb1kRKQ3sILnzVUG0UonfG84dfjdev7JW2wvy2GEyvu9hxjB+YFl/8xBm3uE+8986rn+9OvBSnqmc3b+0szkgA72WrZ3PGOL7sFIr+PKT7kG/h84dz0O/MC9ZjhZAQGAzr5BxatOmlEEcqzKbAeh/XvG2se1galM1AwbgCPBM8J0e33Bt3jVh4wHEwA2NuzHHYS5vXAElfujD9c5ILYUBZK3WEl7fxQ/NDT4KMzEO32dPOfKFDVkgyk6xMX1Q+XAZESDRTo8D4AV+NmEjfuzBRnCXXrcf/+J5zwCAK+Al4G8wLOQRAX8fHgNv0JkOjMKt7fHtzVKezjiQd3MvX9be7rIY0K7gUF3aztoQzY7u8OxiIj6OEbm+WF79kaoCAIGEIndC8ALqHd/OGaCxz1Cefh9c0VUB0qEvsLexyHHJnOVBPA3MkUxhDU+uHqtAlQCmwqNBQ9JvYMpBd8AJjUnSaPDEH9Lg5jJNUz5f3JEjDbNc4CNKLlz/ws4/zy0f3gDW0TI+3BG+QP3Nu96Ke/I8W50s8gOysdRorrA80r2ss0kAM+6f4I6ADbC/zdct/H5CzxO+P3GzLv5stpBl4tnuec4pPe0P5WEPbYDuWKCVvsV/pk8tvy+uM38OQeufan04fODOAjDM39twTl+Rg6Nx6s63j63wfM+9YJpNvy00LnnUhe0mXlRhU9KfQH+As59F7riAxCDpzO4wF3wH4s7x5m6g7RlAGhGQISLyoQIG8XVjEUOTM1hA9kA8QQmg1pCBQIQdBg/3AL7+kMDnvdxhW84o4Rwv5UxBYIXARp/+IHDThiAw/taj0X17DsXR/UAw0QSdf20P/oQ8YMH2Exqw7I98IBo+Vu+9wm0wtcPw/zO+06yz4QOss77Q/zXD/TC9wmbvuj5cIByPerDmExDB9Dxv/o9tBJ1w0Q1ANdH7DsF9dqPQ/tYgMNOOIHaf9cBBYIVMTC/o4RvOLGFXvdDA7v6XALYP9B0BQIaQiaDcQQZAOEDzM1FDlWMW8XECAvKgISoRmUAQ7RZurvHn4sd8DjAZzOQg6IDF7rOfT4C/QHPSlGFWXlXtKdSELn8tOk29YJzPvfB3j6rOs3Hhg65fm3BM39IwwM4IfOp9O59uQeN/D649vyZPJX+lvsigkO5fbYVhDQ/pPenOKe514taQbmyzLv9xs74yzxx+Ry3/zd2wvoAP4IPumQA8s0K9oDzYrrHUY7K88gudIjxae/vejc2+QPwRsj7W0T4A3R/fzyLOPP/KLlAjQ1zjDbyRLl/dUzYyQuDkH9jwydJpjUfACkF/YMPSY0FGwqUAq0CeHq1PrGEMkUwNxUE5nOhxx7HPsLKhJQHc0V4fUJ5xz1mgv84aHdAC50L0InCBigINkahe+b5eEbI+jGIu8O2O6hDKztBd3uBY0K6yFt7vX9dzKJB+zj1Ske3N7fzCqQ6P0J4Dbx8RAXzkHzAl4GvgIIApzw/idx/3XrZwnMFDfuZhJX4z4A6PANFJESlwHVDxMXpOuSDFDVnyh08+32MxDgo9DTUPzt/GElSt1QFoLYXOSMP1fuwBLm9XYSsxzY20wAMBxWHt3j9wbR7c8JjwRuAFAwpTPWBmse7xuH9bAesykRymlErToHFjr5BgNkBJjhAvU789z0fOEb+D7kjykiv7sFji/c8WrZO9mSAEsz2/uZzSnqrwX706rnPfMT723uMQaX/+YFYwf2HCvuhhO/LW2w+yV169fjvOGd8UUoVBufNcILkN6REqb1sBhJBHAKd/UI57/QxvMuF6vtojUhChEMWgKw9/oO5w2cGgcF3RGW2qT+yPpMF2AuvNiSFP/hRRTX8HEJ/v2C/7QQDuBlP7nn5wzvI/vve8leEQYBL++8x3ENgSl5BVMtBvuG+H7l3P8qGCPXhhRnII/fWfWxAhPfDw241WjtMSb3+pb4ZR3n9IwOlerD4YbX/zh6Khgln/Yz6eUHphMEKtonqO8N9VLPdufZwxwi2+Cx8YwG6z3b7ZgplN5z0Vr4axfP/lbv+wtGx7wHHdnE1t/YsReF6835+wZtI8T8DhpxBCQR7ON834comeWi/scBCBuW+f0XFxe7J+oMofyWCGPVNt//3C33uN4zCrQFEOU/CM3TCs89CobuLhpWBaXjXeEU6GEgZB4zBQLZQBWi7ZMRDtt/C2QA1AwQ2AUJ4e2iM7sXPj1EBWI1kSKb+YMYsCh8+2os5frd8go6p/V5E2MAkSHOBF3mfAskHMPRZBdHAgQMH+3rANQueiLv8ZYVMQ2h/rcBJACA639JmAqu/On35AOYMoNP7sGlzsL0Ixhr3L0OtiPvI+j+RBbMI1TYL+6D22MEDO4CABT2uvNRyACSeyvQ8gIRQyNgKfLd3f48DxMkpvQi3A7RvDMxBmEhJwpyBjQbtRNk8rQHhenqETAdHP3uAertls9rELXrWCd4+pb/RsJJSEIdQQ06+zgG6tVoHrgVJfAQ0JAEHOvIFMPJBAAQ6zf9FwaxCtwf3M0gEP0D8P7eIM/zohlL5RgxBRj93S1AIhKt8mzW5QFzEHnrJAUJDsH6DOSH10Ph3QXS46QNbPxbJpombhXNEj0YmvN0BbI7wAJV6Ej6NyXEMGTc+P34GxzgRvR1Jr0W7/zdB9UDsF1DGEPh/+Nf47q4sueo/iQG+OMq6tQbDwbB5rb80iXp/XDwAxGl8Y8dJN86+xvpECg8HFgUYOh19lYd5OXYDF4oMw4NDM75twXV5TopCOxI+kLz4+MsLO35cPAK+S7l5+Hk/aLVORVUPI8rQP0zCXvcmhYYCALWbx4ky4f/otWmDOjm5dmQE1IRqds6174KAxTXETDi8tuLJsiwIR58K0DlLApNIePxByhOC5vflxSR9lwUPORZIp3syAcfCtEy3fMP/mXn+vj9/tjmuP7oBHcIWiTmB1X1jxQLC+cNBAEoTPcyYRA2KyXopdDPMif2xORYAyz7tTouHxvzMT5K8xrYFfJ4JkTaMQ3XJpoMGv2gDcI2Mx3GBkP6pvXlJwLsS/tz70/17CVV50oN9fZ5BvnOZAInGfEQNA7Q5+f93w0zA3kJ79Ta7tQjJCqV7K7jbSBv8SkWVrU7H1QSNz4uHmsa7wvX7I7qwsDtAOYO+tTj+8EV6wW35u3/+PROG9AAVx5l+GEPOAeaJHYncSqYKiXy7uYr3I4KO/AkB7ERfQmXHwb+nyQk4RbjVergC2TWByoaLQs2ZRZv7yY9ah0x/9v02+1l9/YZIz90F8gdTBbNEJUDfRmawPQIKcyaDH0XBOIs+M7gXwkJ7Q8RrsqUBRQLjAzg1YAmCfeR0SMEeysxBlpKf+9QOGHx+RKl8jIe1tRc/i3XNANXEqUIY+uNxP4NYBpQ7r7bNyUWz2woEwb7Cxv5whn3KJgImeprFRYcMQGR5K/SBxNH6xwBCw6B8HP+N+ZVEWMgRf0s8gEW9+Zd9WsJYvlG8tkWIQd/86/RmvKn7aEDbPIJ8rnl7gA7SBbefQi2G2wA3fqL6q30Q9DuJhzm7gSn+4K1HCylJrXbq/0kAezkVgl+FfTzxBXA1JWwlQp4BuvxP//rIi8xneWWFpzjDeSd2QYMBBrvFLRREi4T8NAeok3yCfUcaxPk+iYAZvNyG7wcA++E8gYHdyEx6l0VCvHAMu/pVOvnDVLj9yPlCir0cQcpJnbv98VI/BPRmPdd/W0o1gYV7Zferg65C6wXwzqP6mAB69/k9KvznA5b5KsY5vPlKzbf+RJ/A4EGH/EOAHEl5uDJ3abvk9pe+ZAzdO/zNZjwduRv35FepRIw5IID5+zJ90Lp6fYn9c0FqAal9BP8zuzjEKTVGhD8v3s7VerN0mnY5ARnG2DtahKB1kbZIylLBmQXZehxCc4m6wIu9pj9qhKp2kwWXP7rEVEMm+ac3zEbH9RC49O6dzt7ADfzSiBU8Q379vJB3QIbywuw4KzLdO65zpPCcEOJ/6rZ6dAoBsgZnfs5yIQK+PGtBFwet1gd8/HUGbgODMkJFbd9FbPyX9K7HdcgBfmZ0EX3yuATxtj+a/Kv0bAaMh+D9PPunSAUFncBjta9R7YVIAQLAxv8k/+XGK0Oj/6B2xb8/TRhLVgF3OSP0YvwYhVD9PUS+NvoLXP1UPhGBsYgHf3fDY7kJfSA+4w1ifaj6Fvwe/Zp+cn+Wf8d62kOEO3o4tT7rcTkqLjRZBEn90L9hAu1/z3ocRoRBb7zvADyA5IfVOq4xhT8u8C5Rfzk8gM9EfXyXhI7BPn01u0nPXT42DL89scrWOyT63cN6xE0+2H38A1w708nGQEGCFnRawqD/RQCCuf85ko/uzD47M3YNxUiMF76VjB0DYrMoD246fLwxjE9+qwMHRwnETTq7wZ+Do7w9yUQH9QX2BcM6WH1lMBVETPz0PiO2mXjSO+a+MPrle1e9dHrkSzf9o4MbhPRF97+b/Du1IYMfPYsOMsVxANgGUBIJPMLBTYT4Ormwp3nEvQq5RsOjxHuId3H6wcUCHQE1w0c58QbTdOnDTfx5/Xy8x7VAwrOLIkFSNKJFna6oeH+GBz92+jG3xcNU/y53JLZ7M4RsKD34TVTxxwWhS7WKNrpRAqeAwcG4Bf3DMvhBP/oIW3zofEMIsz/jvxa3m8CcvuHLXAgpRRf+hgppfzv9ZAOP9b90XHLGNxfQGETH8yrEtICC/W5JXsI5S7Z20jrGtuI7jvAwAXI5ZzZfgcW6bTpgt2N/wfsw+RhB6IaRe8KGR8oa/ri6K4wYOVtGcEKag2aEVT+3t7vEBmyJ8AuLXILdfSL1Aj40QDyBpHpceqz6RAAQ/5WBafZtOSEzGn5DBZFJhAe3+nh48P3XOv9GuPovDj6LDTeXvdKNrUVj+WuLUjWyR4CF08Z7RugAggJMfy77wz3Ku4h6hH9tw90DTfzBObOESYXnwUp6ODv+yAfF94KyR6DB+gCEilDTYbj6QBJIhUR8MgNBj8wJejB6uoJ8N7FMaTFuBdSQp0few5wBhIjMt/2Ff9VffLzFFXTBQsT+Lw1WfVJ5prAfiOmGNb9jgFKJnodwfpU6oXy3gX1/IgafPzT7M70i/cy3c3vN/ao0RIofRnV3NsBfvuGKNvkFew8LIDozC9vA+Dwcw7S6/n+iewt/lASnAUYFMrOl8fJFR/f1g+X/wMgs/CABHMDWhk/8Jn3DgR9Au4ErucPAgj9gPyvFSUvtwnfDGTyMhOCOwfsTSdA4H/+0x4exmAHR9x2FmwAmBU9Mb33BhrL5hzHzjgyCfHscQKPBIst3g18/j0bEg77Aj/6H/ne2V4DbufbFEbtE/5tImoFnt5kDQwmBu2b/rr8gCfAFDcBf/4pCpbTrhj787XvTNRX/6WgLA+fEvcbVAVVJbcQrhss8EHzERCsDwQwrjI+t4M12O/iCMzNlwQmMD0IMhOh2070Rgvn45rjAQHn/IMA5wzTIZUFohmPEGMhzuuP2SkeZTrdE9fScsNPCnHxFB8q8Tv65OZX7JzWQxCU+Jv1nvd5FpXb7RFcF7EUf8TqxdD0rMy+EG4PcgA07PUbGyudAwApH/rVIn/jvyCHMScFgMifGCMQywhR+I0qr/hHDBAkU8FxJdHoZQGQ+zQKSTQE6p8R7+aixM0bOPom+0kI1BjA2XDqlelAFGsTmA4p9AoQsPGi7hwkXfsxC6kfvw/lFuoH2AP554My/N4i6iQfMxF4EgriEQ/s/CsQq9+AHc/sVvDkP6nuRiMR6AvenP2lMxvSYs2PiksjLixhQ4cHeAj18mQHX+Y40ZnXUvjUB/rm6AP2Hv0zQfce5OUbivcg2ADynP80DtfwCAjR8KVKE+yTFn4Ha+zTv/AJyxbB52TWvP8CzGL/LOUduZT6oALvNvQKJ/iZE6EAqj/682ox7g5P1832Px5g62feOhY+EgH1lR7D/sADpjilBV3TkxJB2knKgBsY4goXLe7q7wcIZNv3GdggPOQ/BdYvVvQj7VLhT/2eAVvq4i3tJa/fywKsCsYK9ebdBp0ZySBgCD8MChOjCePuSfQ871wZ1wolHif4XwarCWkDux7G7g4eleu1FsgByCgBD9AmWdhpHX8VHN+TCmMqEuM6Lc7rFQJaFk60pOJ4H9X3HD3qILcPlOvE8eL9mgeo/dIGKQy93q3svvW4++ACa/vG/cELSu6NAuVLYPvT8Hz54N828Vr1kQ7j8Z38PBYH8u0gWDsN8KsKMxSM2O70azUDD+76BCyBEi8KsPZd4DAmje669kwTWfUYH/H3tPmv6vL3gwmH/KfVgsGdGktINN7R9CwKUQcr873TwcMWEG4DN/67+J4DIScX3VoKXQbkDXvSIAHxA3kFuPK2ybjyeQXxAyABe9LkDV0GWgoX3SEnngO7+Df+bgMWEMHDvdMr81EHLArR9DTeS0idGoLBp9WH/IMJ8vev6rT58fcYH1n1TBO69o3uMCZd4LD2LwqBEgQs7voDD2s17vSM2DMUqwoN8Fg77SAH8jwWnfzj8ZEOWvU28eDffPnT8GD75UuNAkruwQvG/Wv74AK4+771rey93ikM0gao/ZoH4v3E8ZTrtw/qIBw91fd4H6TiTrRaFhUCzus6LRLjYyqTChzffxVpHVnY0CYBD8goyAG1FpXrDh7G7rseaQOrCV8GJ/glHtcKXBk870n04+6jCQoTPwxgCMkgnRndBvXmxgqsCssCr9/tJeItW+qeAU/9UuEj7Vb01i8/BTzk2CD3GWTbBwjq7y3uChcY4oAbScpB2pMSXdOlBaY4wAPD/pUeAfU+EjoWZ95g6z8ezfZP1+4OajH686o/oQCZEyf49ArvNqAClPoduSzlYv8CzLz/ZNbB58sW8AnTv2vsfgeTFhPspUrR8AgI1/A0Dpz/APIg2Ir35Rse5EH3/TP2HugD+ubUB1L4mdc40V/mZAf18ngIhwdhQy4sSyOPimLNG9KlM5z9C94R6EYjqe7kP1bwz+yAHavfKxDs/BEPCuJ4EjMRJB8i6vzegzL559gD6gflFr8PqR8xC137HCSi7rDxChAp9JgOaxNAFJXpcOrA2dQYSQgm+zj6zRuixO/mnxEE6kk0NAqQ+2UB0ehxJVPBECRHDK/4jSpR+MsIIxCfGIDIJwWHMb8gf+PVIh/6ACmdAxsr9Rs07HIAbg++EKzM0PTqxX/EsRRcF+0Rldt5Fp73m/WU+EMQnNZX7OTmO/oq8RQfcfFPCnLD19LdE2U6KR6P2c7rYyGPEKIZlQXTIecMgwDn/AEBmuPn40YLTvSh2zITPQgmMJcEzM3iCNjvgzU+t64yBDCsDxEQQfMs8K4btxBVJVQF9xufEiwPpaBX/0zUte/7864YltMpCn/+NwHAFIAnuvyb/gbtDCZkDZ7eagVtIhP+Ru3bFG7nXgPe2R/5P/r7AhIOPRt8/t4Niy2PBHEC8ewyCc44HMfL5gYavfc9MZgVbAB2FkfcYAcextMef/5A4E0nB+yCOzITZPLfDLcJJS+vFYD8CP0PAq7n7gR9Ag4Emfc/8FoZcwOABLPwAyCX/9YPH9/JFZfHys4YFJwFUBIt/ons+f7S63MO4PBvA8wvgOg8LBXs2+SGKH772wHV3H0ZEiio0Tf2ze8y3Yv3zvTT7Hz8iBr1/N4FhfJU6sH6eh1KJo4B1v2mGH4jmsBJ5ln1vDUT+AULVdPzFH3y/1X2FTLfEiNwBnsOnR9SQrgXpMXFMfDe6gnB6iXoPzANBvDIFRFJIukAhuNDTRIp6AKDB8ke3gofF/sg4O8p6J8FJhfOEQTmN/N0DbcPEf0h6iruDPe77zH8CAmgAu0bTxkCF8keSNauLY/ltRVKNl73NN76LLw44+j9Glzrw/fh49/pEB5FJgwWafmEzLTkp9lWBUP+EACz6XHqkenyBtEACPiL1HX0cgsuLSfAGbLvEN7eVP6aEWoNwQptGWDlrjDi6Gv6HygKGUXvohphB8PkB+yN/4LdtOkW6X4HnNnI5cAFO8CI7hrbSOvZ2+Uuewi5JQv10gKrEh/MYRNfQBjcccv90T/WkA7v9aX8GClf+qUUcCCHLXL7bwJa3o78zP8MIqHxbfPoIQT/y+H3DOAXBwaeA0QK2unWKIUuHBZTx+E1oPcRsOzOktm53FP8Fw3G39voHP3+GKHhdrqJFkjSiQXOLAMKHtXy8+f1N/GnDU3TxBsc59cNdAQUCOsH3cfuIY8RGw4q5RL0nefmwuDqNhMLBSTzQEhgGcQDyxUsOHz2hgzu1G/w3v7RF24Tjgzf9pEs0ete9ZXtw+ua+EjvZeOO2tD4M/NVEZTAYfUM6dgX1BcQH/cljvB+Du8GNOonER0crAw9+sYx8vC46aA9isx0DVYwXvoiMDcVzdj47LswSj/85grnFAKD/WsKWdEGCBkBTydw7/ANYfc0++sRdw2T61jsxyv89tgydPgnPdbt+fQ7BF4S9fI9EfID/OS5RbvAFPy4xlTqkh/yA7wAvvMRBXEaPei1/4QLQv0n92QRuNHkqK3E1Pvo4hDtaQ4d61n/yf5p+Xv2W/Cj6In2jDWA+yX0juTfDR39xiBGBlD4c/XoLfjb9RJD9GIVi/CP0dzkWAVhLf00FvyB24/+rQ6XGJP/G/wLAyAEthW9R47WdwEUFp0g8+6D9DIfsBqv0Wvy2P4TxsrgRfeZ0AX51yC7HV/Ss/J9FRW3yQkODBm48dQd87dYXB6tBPjxhAo5yJ37yBkoBunQqtmJ/3BDk8K5znTurMuw4MsLAhtB3fbyDftU8UogN/N7AHc707pC4x/UMRuc35vmUQzrEVz+TBap2qoSmP0u9usCziZxCWXoZBdLBiMpRtmB1moSYO1nG+QEadjN0lXqezv8vxoQpNXjEM7sE/yl9KgGzQUn9en2QunJ9+fsggMw5KUSkV5v33bkmPDzNXTvkDNe+ZPapu/J3ebgcSUOAB/xgQZ/A/kSNt/lK+bzqxhb5JwOq/Pk9OvfYAGP6sM6rBe5C64Ol94V7dYGbShd/Zj3E9FI/PfFdu8pJnEHKvTlCvcjUuPnDVTr7+nAMgrxXRUx6nchBgeE8gPvvBxyG2bzJgDk+msT9RzyCXvEUhlkBSDrsuoD8jEnC/Ta+iEZgRUr5gH23AG0AkXj8fWY89IgiPZaIzAkLvPqA+vF9RIr98sPEuRVBqj/MRLYF2j/NxC25DXrUQYi8gXo0xib/MgVb+B76tQcqBT52yz6nPZeJtW2nbxx1H0hkR03Hh0Fy771KblZvR0YG3vTqxttP+DSHNz2Oiv8Neo72dIKUPgn/v39j7qa/Unrrvkm0hvxn/Qq2GMPlB4z9hDtmucy7on4UuidAokrLRzrK3gXpPRPAs7gww0fx/MlkRSr8vvXkwgaPy0hKw0LL7003P7p6unAjO0YHFYFJ/e745/1DA9S3xgVogzOIzz/zuBnLIkkkAJqFqHiMQUmCWzs5PqvB9e/9BtjAtUeluHNBevhly9xCXogvfZ4C3z0Oq2D7+wSqOt7/UzQbQA7zT8F/NQwFivIikQbAhL8Fd0QBybnigcrCHQNyutrKdf92AcqBAvDbux5CX0XOAf7D3ojweh/FAAcyuNlQmPtUvHoAt4kxvsg96IKhO7GLMExQgA2BkjnuyEpAT31/xiLEejIpOGcGz0wqfM66SkVPwmt+sfxvgUPSInlQPkjHR78JOPdOOApKuIB9tMaHAfmysIQQQFlz97umPKTEskacPOV7j339/ln6+QJOymc+7zUUAZF5v/uo/ZsEtfvAPDo3ckJuvuBC8vqntWQEhEWgxDWBZcJ8iHQ/1gXrBh8DX4A1MtO5Jf6CfQjEGz79wFj8lkXqwcC/TEZxgPI29sICSvfzRkVPzBxGCgPQhwzBmY36+Vd6JkUfkRWFWsZSMobyQco+gYcCub2JNzQ+4nSngtRHgjmgQkKHa3jOP6KAaT/lirZBjcKTw3//14jxwiC3kAYqAmu++/nSv1sGfHIZ/IzE8MMURu69QoPYQa1z6/nfQo5HWnjkQtd9JHVAi75zzsM1/TnBTveXhhHLEXr9Omb8LYBV/Wg6PoleP22G0PspNK4B+AeRzEe8bQJRO9h8cUEjxLB6XzXBemG/HfzJhjP/DLXdgMbMdUESOKcBzD0mfgi6BoihO9bCfP3Qta2CZjgzSfK8ywRFwb679vI2/yW8JHgfB3kCWUNQCzvxL7WjSCOGgAYwgzoK7Dz4sYaDX4y/AIeE9z3bd0AAsUaGfeFGWT4ECDB8T36wsjrFfcrvaob2qf+/Boz9IAamvG7Gmz4/RXw59zE8PFf2+D2VB+jACkQnN7YwhnB9vcOA1AQGPSK57j8fO6xLCY1WB106aTiPUZUIbbmCtUq9FXtpfxy6lkCyvAp9U8MDBwIGiMzvOqvMlUnyC8NAIgNj9As39YIACa8NCIInRaX/sH9V+TkAqnT/gV6FyvMDwFL/uXfUBq55ls9LO90CETr+A2D69sEyBtF4VoJDr2x2foRksVWC8byJhpvDVUfAPlKJjT1vrZWETf1ZvBfIJckA+QGEDzjROUQKoQVfeEUGrYj++jqCy7LxtGRC+YZQ98K+TlAsRIUDjwNUQKSHwIMHjjyAeXTXwGLADfr4iFk19sWlAjAF6MFruyMG3FeDxd184kgm8oPBOnqcQwWrCvxsu1TI7HnXx3xCVfu+tG75JMAAOMrJ4IYudS61SIWNv+q9eXZFQNpCy3M5zN8BwQVGQbBQkLs0Qgv+rfuryt3/3gOLcMIBOTQh/Kq8kcQwfUkMk8LKRu4CkUZJQQBEPIOGwZcxI4BPBTWJCoTaQU299YH8PjzBlDkPe4ZGSvTQBXB0rD3H+rMFO77yvTjIur7cfXw79HjcAcA3o8sc/liOTT4lwFs7AzrqdeM5OsWCfhu/ZbC5h4qxz336uPIIGPgQAdcANAbcCKH/Q/2mxdD86jMFs60yLgApSNrwgYtKRa8/TgR5vFiMjPfmhEF2IrWv0hzstwzSB3H63EszgJLGbzlDdILN4rZZBSjGa4GmxqWHvTgvd2K9PgzWfecDIMTeiPuH7j9RUpl5Uj8NBV/62xEZg2+IkryZAvG6k8mdvwWJjshEjQtHrYVzOrzJRYFMTiuNKD3FQPi/FrpZwGqB2Hz8T8w5GbttuTsF7UhRCTuKHH7YBnq5NL1Vv7pDtIBUN1NLjT2NeI8zDrj1/nQBuoOwe73DbcyhsRZ1XkK7wO5DrT1dvQ3Ti0TnOLLDkP0ihebSmzVKONdCyP2A9unPUf4WvWeDpf/wu8pNK0l5vuCwZzu49y7ExjjmDoA8o7wT/4rDCcSeAHOGrO4PCWhGDdHSOUD+JXv+feT9KDPih91Iyr3jPG3/cgbhN+f/S8yUAQm6CX9sCJqCRvwlwst/BnoEvn0MtJHWtUpHk4h2Rti76sasg1u8U3sTu8m94TNsPAZ03j6puOpAkwl5gat7GE91+pdETQUYCvhIhTRj+nzBdsVKxGbDV0T9hdx7ZgSeROuAOfw7RZPEQ4J8tU51N7S7QPOPgoibTdFBQkGWQNSDK/onOJdGg0LaSVb7JopRunc9PUH3e9h2s76PNcQ8zb9mPPl+oMf6AqwLuoEP/JgKKA6aNavHAIXTgXuC50etDku52DPn/SxKDwyBg6O1dK2SBH25OYK1803LNHYBAzWMAnbjOOtGaDUR+C+N13rhwcf84oFeO5zEvThdfZSDDUw8u7BFS0it9368iElmN11E4sILgV2AoAHjCzqRFoKJunBJ9bvCjGV0QobKerbSeYkceD06XfuC+xYA/AN1ep91pDnPvInNqLlhTCX64jpWEFUG4XS8j+F0lQbWEGI6ZfrhTCi5Sc2PvKQ533W1erwDVgDC+x37vTpceDmJNtJKeoKG5XRCjHW78EnJulaCupEjCyAB3YCLgWLCHUTmN0hJfryt90tIsEV8u41MFIMdfb04XMSeO6KBR/zhwdd6743R+Cg1K0ZjOMJ29YwBAzR2Dcs183mCvbkSBHSto7VBg48MrEon/Rgzy7ntDmdHu4LTgUCF68caNagOmAoP/LqBLAu6AqDH+X6mPM2/RDzPNfO+mHa3e/1B9z0RumaKVvsaSUNC10anOKv6FIMWQMJBkUFbTcKIs4+7QPe0jnU8tUOCU8R7Rbn8K4AeROYEnHt9hddE5sNKxHbFfMFj+kU0eEiYCs0FF0R1+phPa3s5gZMJakCpuN4+hnTsPCEzSb3Tu9N7G7xsg2rGmLv2RtOISkeWtXSR/QyEvkZ6C38lwsb8GoJsCIl/SboUAQvMp/9hN/IG7f9jPEq93Ujih+gz5P0+feV7wP4SOU3R6EYPCWzuM4aeAEnEisMT/6O8ADymDoY47sT49yc7oLB5vutJSk0wu+X/54OWvVH+Kc9A9sj9l0LKONs1ZtKihdD9MsOnOItEzdOdvS09bkO7wN5ClnVhsS3MvcNwe7qDtAG1/k64zzMNeI09k0uUN3SAekOVv7S9erkYBlx++4oRCS1IewXtuRm7TDk8T9h86oHZwFa6eL8FQOg9640MTgWBfMlzOq2FS0eEjQ7IRYmdvxPJsbqZAtK8r4iZg1sRH/rNBVI/GXlRUq4/e4feiODE5wMWff4M4r0vd304JYemxquBqMZZBSK2Qs3DdK85UsZzgJxLMfrSB3cM3Oyv0iK1gXYmhEz32Iy5vE4Ebz9KRYGLWvCpSO4ALTIFs6ozEPzmxcP9of9cCLQG1wAQAdj4Mgg6uM99yrH5h6Wwm79CfjrFozkqdcM62zslwE0+GI5c/mPLADecAfR4/DvcfXq++MiyvTu+8wUH+qw98HSQBUr0xkZPe5Q5PMG8PjWBzb3aQUqE9YkPBSOAVzEGwbyDgEQJQRFGbgKKRtPCyQywfVHEKryh/Lk0AgELcN4Dnf/ryu37i/60QhC7MFCGQYEFXwH5zMtzGkLFQPl2ar1Nv8iFrrVudSCGCsnAOOTALvk+tFX7vEJXx2x51Mjsu0r8RascQzp6g8Em8qJIHXzDxdxXowbruyjBcAXlAjbFmTX4iE364sAXwHl0/IBHjgCDJIfUQI8DRQOsRI5QAr5Q9/mGZELxtEuy+oL++i2IxQafeGEFRAqROU84wYQA+SXJF8gZvA39VYRvrY09UomAPlVH28NJhrG8lYLksX6EbHZDr1aCUXhyBvbBIPr+A1E63QILO9bPbnmUBrl30v+DwErzHoX/gWp0+QCV+TB/Zf+nRYiCLw0ACbWCCzfj9CIDQ0AyC9VJ68yvOojMwgaDBxPDCn1yvBZAnLqpfxV7Sr0CtW25lQhPUak4nTpWB0mNbEsfO64/IrnGPRQEA4D9vcZwdjCnN4pEKMAVB/g9l/b8PHcxPDn/RVs+LsamvGAGjP0/Bqn/hvavar3K+sVwsg9+sHxECBk+IUZGffFGgACbd3c9x4T/AJ+MhoN4saw8+grwgwAGI4ajSC+1u/EQCxlDeQJfB2R4Jbw2/zbyPrvFwYsEcrzzSeY4LYJQtbz91sJhO8aIiLomfgw9JwHSOLVBBsxdgMy18/8Jhh384b8Bel818HpjxLFBGHxRO+0CR7xRzHgHrgHpNJD7LYbeP36JaDoV/W2AZvw9OlF60csXhg73ucF1/Q7DPnPAi6R1V30kQtp4zkdfQqv57XPYQYKD7r1URvDDDMTZ/LxyGwZSv3v5677qAlAGILexwheI///Tw03CtkGliqk/4oBOP6t4wodgQkI5lEenguJ0tD7JNzm9hwK+gYHKBvJSMprGVYVfkSZFF3o6+VmNzMGQhwoD3EYPzAZFd/NCSvbCMjbxgMxGQL9qwdZF2Py9wFs+yMQCfSX+k7k1Mt+AHwNrBhYF9D/8iGXCdYFgxARFpASntXL6oELuvvJCejdAPDX72wSo/b/7kXmUAa81Jz7OynkCWfr9/k995XucPPJGpMSmPLe7mXPQQHCEObKHAfTGgH2KuLgKd04JOMe/CMdQPmJ5Q9IvgXH8a36PwkpFTrpqfM9MJwbpOHoyIsR/xg99SkBuyFI5zYGQgDBMcYshO6iCiD3xvveJOgCUvFj7WVCyuMAHH8Uweh6I/sPOAd9F3kJbuwLwyoE2AfX/Wspyut0DSsIigcm5xAHFd0S/BsCikQryDAW/NQ/BTvNbQBM0Hv9qOvsEoPvOq189HgLvfZ6IHEJly/r4c0FluHVHmMC9BvXv68H5Pps7CYJMQWh4moWkAKJJGcszuA8/84jogwYFVLfDA+f9bvjJ/dWBRgcjO3pwOnq3P69NAsvKw0tIRo/kwj716vykRTzJR/Hww3O4E8CpPR4F+srLRyJK50CUuiJ+DLumucQ7TP2lB5jDyrYn/Qb8SbSrvlJ65r9j7r9/Sf+UPjSCjvZNeor/PY6HNzg0m0/qxt70xgbvR25WfUpy74dBTcekR19IXHUnbzVtl4mnPYs+vnbqBTUHHvqb+DIFZv80xgF6CLyUQY167bkNxBo/9gXMRKo/1UGEuTLDyv39RLrxeoDLvMwJFojiPbSIJjz8fVF47QC3AEB9ivmgRUhGdr6C/QxJwPysuog62QFUhmK9RL55irsvA4xfOhr/pAPQBEo6I3pptdJyhoPWj454QPu/uCbBUAmP+9JA+TdT/mPDo0cdAXgAU8NquFaM/n7yfvX+xUCpOtl8sgDRRGT8JUDwf0xB+H/SBno+M/oaxGxAhhP/yZ33Zc0VcP68kY62vTHA1kNYPmyB1XoQflv3gYAfPUUBV387BSk2XwKIArAKKAw9fLtAEIJVwL2/nkPrfOI3F9JEg5zFMYj2O4BG5/6ZhBm+h7gZPQwFs7z1C82z90KGgclJ5vzXd1UAnzWihU6/pDwaApd3tUefgdj95AZyeDF6Vj0BvcOArAVmyJlnHn7RBDXyJn8OSuHLNXpXBkXEkfHCgVj2jEgcR3/LBsNMUKo/3AmFs8jCdPYjwPyMJTpev9T+soQ5wEnB2sSNPY8pc7TNRD38iDrYBSCIsHcnOAjBTTbry3hG2gFUiUzPf3jlRRw8AYCID4WKiAIYxgZ9AIAJhXI1ngK+tM6JpQAfgXEzg4EduejI/zw/dPdSB8HefQjDMD04wHP+r0/oyp99FgR4yABDWTOkPPaIArfsODR9F4MWCvcxfLYChi74f0t1RR774UFIcZx7uw6WtY97FMCVALaBmYEjhApEOD0Keqm/vgGChQIK38W5+pl9w/6FSLgG13ydPhZ/mgGXvY1Asv4KAiKBWgjxODLEGMekRB96sMWafqiEh0p4TFS+ssAyMfq8Z/mFzBx81fyP+xI6VrNJwPaCQc05fya/hLeF9neFpQMDNpxDHvtITX0/HQecPnS9zEf9/0EHQU98AFI/RkLlfmoNeoPhfsMByU6Tu2eUH8iHT4eGgkPzw0YIG0cvN367iYBAN6+8ZopAim5CIMEBfli+7Uo1PyK8Y0ZuMjRFIvHjQtwBz8kmMtv+r8Gp/NzK3cK0+aH7hMc7hJ682flxR10/yi2YebK/1TZa0t+JBceGyj8OwcoDgmQ7AEMsOvk3YEWniagFVzblCpmA34c1A2VJY1FUe+R7UAOVyvA/U3/mC/zBUv+nex2BaXtxgXg4t0WlfLYAJEhShNYEhkkL+1t7qrPTQ5/7VzxwvZn9Uzm8Mj/DcnURuYk8LoCFvXa6ZfHdAH57cjlavLaBWUajuHmEr7kot4R7p3h3B8eJOb3ogWH19LFRCjq9YXMjRU48aXsayj5+8bsQQ8hvJwIp51u9xURbzIFO/URCTJ0MEkBhOgnHLQFc/xBBmXzo+CiFOMtyNt665MWNAvMDV70xQxoNjcsNtPO52YYDv6n8qwDhggS9JDsPyAk+Sns/hfZ64X3GvMd6y1EqvO536k8QCKcMZLNyxtqCXUbdget4z71jQgE71zXy1PC8Ff5CA9eBg/6duq6EaIan92a2WUEMPxV/AcDXPPmFnL7rx5/K+rqr/EoCdLEDSM83XT5I+oqD4cWf+2hGq4jG+PIAz4zYeRvDqb37hNZBY4dIva5CdLyHQBLCxHmktpIDhnj29V7AOvkMxkU6ZcK/PRZBV/PqQ/jIUAfLQjbANDoAN0f1G0D1QLK/dr8swgz72rbpvJl+uL/yeXszawRfAXI6k/9gt67798BTjBDG/IakjZ139zcJAfU/HQkndPZ9tQ0JRYMKH7gSv2PCQkkNvsq+tfsft7fC+0CmjVHFBUHAhakAnRoNxkB5Rv4TiBvE6oPgULYEXU0kQe66BIHNxvr7SAH2fhYFac5KPEqER8SJPvl6nIH0fhMEFvryVFS8s8l4hAjC51CnAgUGPkZ9vYa7q4IS9TMEvYoQvP6460kGzJuBlQAVhbtFdoeD/Ut/QQZigyKJ+np9P0563EVxPm58OaNjgld8JwAZfQSGuTVEhfBECMp5QSuFVH8eCwpMazTJvnQ8SLoCiY/7KflZgiSGWIYDQMsxI3qbP9TArfVdiXwBwIo2NtbBgzr3hWcJuLyjSaUAGBLqi1PEY7XCAaxKIAijQgV23nLVBtx3nwC/eI2EJgO1SBY+Q8k2A848zXbQgtBHlnyB+3iI4UYcOjiG+PUI7jXF4Dc69EI3IAIq+WlypvxPf3XMyzoCPoGH2jsYAMV8lL1ZhyTLXALKiIJ8bDf6wm84MoFxsiZ7+wkVvoq64TGrwVP1kHZ9wpLB+D2PTLz8fLI4A3PBnzdteRoF0vcyfeoB0719BxX/YoeVQNT/c7Rc+2QM0wZ6FTD3WAkPBjC3Q/Z3tYIBxEYewtxFuwEmuuXI5gJtRINJYAhLxKoHT7ZLfCe+pkA8yMI+Hn/QQRR2ZD2fuc1BJztDwhy7PfS+QIT65rvxjYDJETnUvCv81Ax8g7L8NMPhP37HiG/B+wmE98BQcEiIPAIzkUdD13f2Ovt7psQvxGBEIf57VRG2RcEYQupBBb5fAXA11bTbhiTLr3ll+MfDnYxLfkOCA4EiRQfGNzi2vER9yLGwgD08cLzGN5sykoRQif14+ROv/k9IgE3CfiQ1usDwyyvDZMNGvl1LUMFC+XDCL7yfRkcJngQZfbk8WTsygtKMxYqj/LB5hfovecI6XIjKygV3tD8svL4EEUq4fdx5UseJP6FLuLWsN0x3cnsKhIH+VDozhBTOTX3QzEdDtjlM/3yB5Qm2vBOBRf9Z/Kez6YzcwDvV43vEzBh78Idk/W11NfgzPOBy7ngtfvO0jg1ZihsmkEYj/372w3t6ASw6/zjZeG4BAkPoCOL/kUKEvQtIdERNEjQ5R8AdeSIA54NZejHHXIRNi6EC/3jt/iW8RHjlvG3+P3jhAs2LnIRxx1l6J4NiAN15B8A0OU0SNERLSES9EUKi/6gIwkPuARl4fzjsOvoBA3t+9uP/UEYbJpmKDg1ztK1+7nggcvM89fgtdST9cIdYe8TMI3v71dzAKYzns9n8hf9TgXa8JQm8gcz/djlHQ5DMTX3UznOEFDoB/kqEsnsMd2w3eLWhS4k/kseceXh90Uq+BCy8tD8Fd4rKHIjCOm95xfoweaP8hYqSjPKC2Ts5PFl9ngQHCZ9Gb7ywwgL5UMFdS0a+ZMNrw3DLOsDkNYJ+AE3PSK/+eRO9eNCJ0oRbMoY3sLz9PHCACLGEffa8dziHxiJFA4EDggt+XYxHw6X473lky5uGFbTwNd8BRb5qQRhCxcERtntVIf5gRC/EZsQ7e7Y613fHQ/ORfAIIiBBwd8BJhMH7CG/+x6E/dMPy/DyDlAxr/NS8ETnAyTGNprvE+v5AvfScuwPCJztNQR+55D2UdlBBHn/CPjzI5kAnvot8D7ZqB0vEoAhDSW1EpgJlyOa6+wEcRZ7CxEYCAfe1g/Zwt08GGAkw93oVEwZkDNz7c7RU/1VA4oeV/30HE71qAfJ90vcaBe15HzdzwbgDfLI8/E9MuD2Swf3CkHZT9avBYTGKutW+uwkme/GyMoFvODrCbDfCfEqInALky1mHFL1FfJgA2jsBh8I+izo1zM9/Zvxpcqr5YAICNzr0YDc1xcjuOPU4htw6IUY4iMH7VnyQR5CCzXbOPPYDw8kWPnVIJgONhD94nwCcd5UG3nLFduNCIAisSgIBo7XTxGqLWBLlACNJuLynCbeFQzrWwbY2wIo8Ad2JbfVUwJs/43qLMQNA2IYkhlmCKflP+wKJiLo0PEm+azTKTF4LFH8rhXlBCMpwRASF+TVEhpl9JwAXfCOCeaNufDE+XEVOev0/enpiieKDAQZLf0P9doe7RVWFlQAbgYbMq0k+uNC8/YozBJL1K4IGu729vkZFBicCJ1CIwviEM8lUvLJUVvrTBDR+HIH5eok+x8SKhEo8ac5WBXZ+CAH6+03GxIHuuiRB3U02BGBQqoPbxNOIBv4AeU3GXRopAICFhUHRxSaNe0C3wt+3tfsKvo2+wkkjwlK/X7gDCglFtQ02fad03Qk1PwkB9zcdd+SNvIaQxtOMN8Bu++C3k/9yOp8BawR7M3J5eL/Zfqm8mrbM++zCNr8yv3VAm0DH9QA3dDo2wAtCEAf4yGpD1/PWQX89JcKFOkzGevkewDb1RnjSA6S2hHmSwsdANLyuQki9o4dWQXuE6b3bw5h5D4zyAMb464joRp/7YcWKg8j6nT5PN0NI9LEKAmv8erqfyuvHnL75hZc8wcDVfww/GUEmtmf3aIauhF26g/6XgYID1f5wvDLU1zXBO+NCD71reN2B3UbagnLG5LNnDFAIqk8ud+q8y1EHesa84X32ev+FynsJPk/IJDsEvSGCKwDp/IO/mYYzuc20zcsaDbFDF70zA00C5MWeuvI2+MtohSj4GXzQQZz/LQFJxyE6EkBdDAJMvURBTtvMhURbvennZwIIbxBD8bs+ftrKKXsOPGNFYXM6vVEKNLFh9eiBeb3HiTcH53hEe6i3r7k5hKO4WUa2gVq8sjl+e10AZfH2ukW9boCJPBG5snU/w3wyEzmZ/XC9lzxf+1NDqrPbe4v7RkkWBJKE5Eh2ACV8t0W4OLGBaXtdgWd7Ev+8wWYL03/wP1XK0AOke1R741FlSXUDX4cZgOUKlzboBWeJoEW5N2w6wEMkOwOCQco/DsbKBcefiRrS1TZyv9h5ii2dP/FHWflevPuEhMch+7T5ncKcyun878Gb/qYyz8kcAeNC4vH0RS4yI0ZivHU/LUoYvsF+YMEuQgCKZopvvEA3iYB+u683W0cGCDPDQkPHhodPn8inlBO7SU6DAeF++oPqDWV+RkLSP3wAQU9BB33/TEf0vdw+XQe9PwhNXvtcQwM2pQM3hYX2RLemv7l/Ac02gknA1rNSOk/7FfycfMXMJ/m6vHIx8sAUvrhMR0pohJp+sMWfeqREGMeyxDE4GgjigUoCMv4NQJe9mgGWf50+F3y4BsVIg/6Zffn6n8WCCsKFPgGpv4p6uD0KRCOEGYE2gZUAlMCPexa1uw6ce4hxoUFe+/VFP0tu+EKGPLY3MVYK14M0fSw4Arf2iCQ82TOAQ3jIFgRffSjKr0/z/rjAcD0Iwx59B8H3Uj90/zwoyN25w4ExM5+BZQAOib603gKyNYmFQIAGfRjGCAIFiogPgYCcPCVFP3jMz1SJWgF4RuvLTTbIwWc4MHcgiJgFCDr9/I1EM7TPKU09msSJwfnAcoQU/p6/5Tp8jCPA9PYIwkWz3AmqP8xQhsN/yxxHTEgY9oKBUfHFxJcGdXphyw5K5n818hEEHn7ZZybIrAVDgIG91j0xenJ4JAZY/d+B9UeXd5oCpDwOv6KFXzWVAJd3ZvzJScaB90KNs/UL87zMBZk9B7gZvpmEJ/6ARvY7sYjcxQSDl9JiNyt83kP9v5XAkIJ7QD18qAwwCggCnwKpNnsFF38FAV89QYAb95B+VXosgdg+VkNxwPa9EY6+vJVw5c0d93/JhhPsQJrEc/o6PhIGeH/MQfB/ZUDk/BFEcgDZfKk6xUC1/vJ+/n7WjOq4U8N4AF0BY0cjw5P+eTdSQM/70AmmwX+4APuOeFaPhoPScqm143pKOhAEZAPa/586A4x7LzmKhL5nyrLt8wSlhcmLhbvAPARAo3yKzU0LpDZbwHHGUAAUgRm5tv2RQLox/QKLfY4AUL1KP3LFpwocOLMDJTov9qdEjz8Y/Dg5b/yWtGj+RoPn/Wm1wgRlghhzowEkNaKHp7wIPbiLDcqBiLEy7k1QwKZM28KXLeeC5kWndXCHO35ziMe83H7ZP6p5GfruQahBv8VxCiS/Ib2JfQk3jADwvYU0NwU2y03DUf+HAOD91zs/a2H2pT4uh3MFwjbvOYY+NoeMQ7z8A320s4kCeDWYv7T+Tv2pAMvOHIHF/L9Anke7v0XCK7S2TLY8o3pEgyN1xvYNfdY+c2ptDgJ/DAJNB2yzcAmxftb1PXv4+GeKNDePvpb93UdwRK09ELy7frwFwwFCglU5wzuo+zc2wfwsAlgBqTnqw/MBakjiRG3CgPeQhdFN9MiNu94CsLJJAGJEZwH1uX0+8MZgSOX3THxutjX1X8d+fUWBprx2hU3K3b5KPUq+D/i0gc6CRQY0vy1BE3tovwhASbOEtS4HA0f/gg5GArRQvyEIYMPhggmTecVhOv4BqDsveHdByXmrbXWFkbhIfI08eUdLQrFDPQGCBztJfAtPuffOFow6DycBO795ujhBXHtGOg598wCbymO/ibe5OWk63ITBtz5DDzkz+/f6MDrChX1DNbnjVdexQL4Igm/3zlQph144IwolR3yCE/w/e4FIojyWxi1A80Jo/7ZEnLQnwiA7aHsrB/SByf9O9u/FGnKQgE0+lnSQkgV3ZL7itRI3DHsyf/j/UAOZQXJwIAINtxD4to9Zvs+Io3mxPruGvkJ/e6w7G8GNOfs74FeKbYEv5Lx/wWAHWsS+hEYA8wpn//EsTb4Adx/JkwGGerrBQnu1/jaAzTZePPY7dD91zT0Dfvbn9ltMi8m6ilJCwwbGAYlE74TAiKiCZgTFv5+ztfjxDE73TbwGhGv+RosLOpDDNTrLDuc7R4lI9lKEbUR0Qk8G1/v8vpp9eYODzHDDjbzBQX7FQARSftFOt0DSsWr8E1YoQFfGgUIwr1WxQXwvOkz34cQvTJ+52kg1hR9/LwUYhY/HWT7ZieMFjLKa8BvDcrGseN9+4IAL/i59+js5hRNLeLn0+IMQfIVHdToB972otYD/tcJEOkgCLLs9Q8w4eMX1+Vl/Z3+RQEGERn4Zv9Q91favhP7CdEGwi5qDKznNT5uE5cJfA88CDwdMyxZAP0IVgKJLpL4iBbg1P3lo+y3ADHoxQXP6KjmJRbz39wQlu69BhT9Xubk9Wr2xdG/xgEj9PBO7277nRpF9/Dibffm/QPiqQ6v+Cnx0tlODO/pHyND+/YKbeVJ96EHeyTtARwI4gogCjsgyBLC8kTQWh7y7VACZf384vLtRd5e2ZoWPO0I6F/rZONB+0zd7x5iCP/XEf3p/vUhygp88xgDowBgA2IDP/uTEHrNW9sG3AsuiSPpw4UjrAlC4P2a7OQSHT4Todc94MHZsQnGA3bpXBZF1BfbugOJKpAnrCRlCPXn49ZS6IX4o9Q89GAxJPNwBHruKfr34b//qPKR6DjXxg5jFboFVggAJsf0pdxSBbL+CMz7FPnSNumM/C0DZTDh/Dreiwvx21Ay5O0l05L2jO9M8mIssd8iyn4dJ/5h95j8r/mkKjENZgtw/I0k1yopVF4r2PDlHjUYzseH0X7maiNl0pTfVzVp+pj/zwpuENbwV+i958/oEelR5aIPrhLp+FQZ1uCq1JzkLRwY40j/Gh2tCKr4CyWwCQfaPRV3EAPobvvi5QYVyxos+jQxB/bWFtAQLA3EsjrU7N1q10UG6vMP/YIp4P8xDwnwldFvFL/uBEwe/DcBLPP5B0gZUu7LxCgaHuFr4bYHnxOIFr4X9BGlyXb1mulOBDXjqP5AGcf4Ow525j0KQQkM7uHNLvD5D2IYuRvW6HX8gSueEyviUA8r3cvnYR0h+lYiRvy61NndieUTI3YSbQtO7wbget1FD6X9AAh8+fsw7vv5UjPP/yK9ya0Q9gs2AMYDzexY+3r+3Rvs9JYbTuCARiwXKPHN5drxNp2467HvXRlIC90pDhDL09nKidk1LBoEROrz2L3etxts4SbmOgeeE5b3+xRmGGsLofQaKp8Up/y1HFQLjfKU768iMglGA4crJCll6icFq/AvEoMhmREZAmAgGdgl4qg5Hx7b2kcHifJH+4gF9M8hKK/8sg9TBsYpfxkN9GATcuu0EZz2lSiy7aD3tA6Y6/5/IAuv+fqzYuEs9tv74aR4H88JzdzwATbk3PWJHNkL7QoL2SQCUK6p3ZnQ7emi+XH7zxCH7lwG59SqEjIDCBIAAnf8dvs2Cyz2iCTeHGnxQS46IL37uBJkGxkb2d6rDjMAAgQS7bIVkw4fObLHxyBFEtsnRx9RChf5eNMQ4vcE/TCVJ/4UxfyxEWEGVTXm6VP7ZQSz/Vct3wBP9XNQLg9b+Sb5ZOnoBGvl/z0y/CMlJe1/Lf0A3fzL6+MJR+gI81QgFkBx6UPb3C8V2VcHlvU/GnvcbCU9JEIHdSi++YkDtAF2JscPO+e/ExXnUe82/2ktqdg1By8MDhLxLOz0avpN7AQiDgeeILHj3/Ar9SIILwovDknqpDNOEBD15xUm5sTaEhuOytAJiseq+ev2nccUFyANfr3n3hwweczkHK7hVPCc7T8RPhZfGxb5CRJxNon68fVKvOT6h+iJ2CzpE+v44DIgXccg/WQIp90kM6fdZAgg/V3HMiD44BPrLOmJ2Ifo5PpKvPH1ifpxNgkSFvlfGz4WPxGc7VTwruHkHHnMHDDn3n69IA0UF53H6/aq+YrH0AmOyhIbxNom5ucVEPVOEKQzSeovDi8KIggr9d/wseOeIA4HBCJN7Gr67PTxLA4SLww1B6nYaS02/1HvFee/Ezvnxw92JrQBiQO++XUoQgc9JGwle9w/Gpb1VwcV2dwvQ9tx6RZAVCAI80fo4wnL6938/QB/LSXtIyUy/P89a+XoBGTpJvlb+S4Pc1BP9d8AVy2z/WUEU/vm6VU1YQaxEcX8/hSVJ/0w9wQQ4njTF/lRCkcf2ydFEscgsscfOZMOshUS7QIEMwCrDtneGRtkG7gSvfs6IEEuafHeHIgkLPY2C3b7d/wAAggSMgOqEufUXAaH7s8Qcfui+e3pmdCp3VCuJAIL2e0K2QuJHNz1NuTwAc3czwl4H+Gk2/ss9mLh+rOv+SAL/3+Y67QOoPey7ZUonPa0EXLrYBMN9H8ZxilTBrIPr/whKPTPiAVH+4nyRwfb2h8eqDkl4hnYYCAZApkRgyEvEqvwJwVl6iQphytGAzIJryKU743yVAu1HKf8nxQaKqH0awtmGPsUlveeEzoHJuZs4bcbvd7z2ETqGgQ1LInZ2crL0w4Q3SlIC10Zse+46zad2vHN5SjxLBeARk7glhvs9N0bev5Y+83sxgM2APYLrRC9yf8iM8/5Uu77+zB8+QAIpf1FD3rdBuBO720LdhITI4nl2d261Eb8ViIh+mEdy+cr3VAPK+KeE4ErdfzW6LkbYhj5Dy7w4c0M7kEJPQp25jsOx/hAGaj+NeNOBJrpdvWlyfQRvheIFp8Ttgdr4R7hKBrLxFLuSBn5ByzzNwEe/ARMv+5vFJXRCfAxD+D/gikP/erzRQZq1+zdOtTEsiwN0BDWFgf2NDEs+ssaBhXi5W77A+h3ED0VB9qwCQslqvitCBodSP8Y4y0cnOSq1NbgVBnp+K4Sog9R5RHpz+i951fo1vBuEM8KmP9p+lc1lN9l0mojfuaH0c7HNRjlHtjwXispVNcqjSRw/GYLMQ2kKq/5mPxh9yf+fh0iyrHfYixM8ozvkvYl0+TtUDLx24sLOt7h/GUwLQOM/Dbp+dL7FAjMsv5SBaXcx/QAJlYIugVjFcYOONeR6Kjyv//34Sn6eu5wBCTzYDE89KPUhfhS6OPW9edlCKwkkCeJKroDF9tF1FwWdunGA7EJwdk94KHXPhMSHezk/ZpC4KwJhSPpw4kjCy4G3Fvbes2TED/7YgNgA6MAGAN888oK9SHp/hH9/9diCO8eTN1B+2TjX+sI6DztmhZe2UXe8u384mX9UALy7VoeRNDC8sgSOyAgCuIKHAjtAXskoQdJ923l9gpD+x8j7+lODNLZKfGv+KkOA+Lm/W338OJF950abvtO7/TwASO/xsXRavbk9V7mFP29Bpbu3BDz3yUWqObP6MUFMei3AKPs/eXg1IgWkviJLlYC/QhZADMsPB08CHwPlwluEzU+rOdqDMIu0Qb7Cb4TV9pQ92b/GfgGEUUBnf5l/dfl4xcw4fUPsuwgCBDp1wkD/qLW3vboBx3U8hUMQdPi4udNLeYU6Oy59y/4ggB9+7HjysZvDWvAMsqMFmYnZPs/HWIWvBR9/NYUaSB+570yhxAz37zpBfBWxcK9BQhfGqEBTVir8ErF3QNFOkn7ABH7FQUFNvPDDg8x5g5p9fL6X+88G9EJtRFKESPZHiWc7Sw71OtDDCzqGiyv+RoRNvA73cQx1+N+zhb+mBOiCQIivhMlExgGDBtJC+opLyZtMp/Z+9v0Ddc00P3Y7XjzNNnaA9f4Ce7rBRnqTAZ/JgHcNvjEsZ//zCkYA/oRaxKAHf8FkvEEvym2gV7s7zTnbwaw7P3u+QnuGsT6jeY+Imb72j1D4jbcgAjJwGUFQA7j/cn/MexI3IrUkvsV3UJIWdI0+kIBacq/FDvbJ/3SB6wfoeyA7Z8IctDZEqP+zQm1A1sYiPIFIv3uT/DyCJUdjCh44KYdOVC/3yIJAvhexY1X1uf1DAoVwOvf6M/vPOT5DAbcchOk6+TlJt6O/m8pzAI59xjoce3hBebo7v2cBOg8WjDfOD7n8C3tJQgc9AbFDC0K5R008SHyRuHWFq21JebdB73hoOz4BoTr5xUmTYYIgw+EIUL8CtE5GP4IDR+4HBLUJs4hAaL8Te21BNL8FBg6CdIHP+Iq+Cj1dvk3K9oVmvEWBvn1fx3X1brYMfGX3YEjwxn0+9blnAeJESQBwsl4Cjbv0yJFN0IXA963CokRqSPMBasPpOdgBrAJB/Dc26PsDO5U5woJDAXwF+36QvK09MESdR1b9z760N6eKOPh9e9b1MX7wCayzTQdMAkJ/LQ4zalY+TX3G9iN1xIMjenY8tkyrtIXCO79eR79AhfycgcvOKQDO/bT+WL+4NYkCdLODfbz8DEO2h4Y+LzmCNvMF7odlPiH2v2tXOyD9xwDR/43Ddst3BQU0ML2MAMk3iX0hvaS/MQo/xWhBrkGZ+up5GT+cfse884j7fnCHJ3VmRaeC1y3bwqZM0MCuTXEywYiNyriLCD2nvCKHpDWjARhzpYICBGm15/1Gg+j+VrRv/Lg5WPwPPydEr/alOjMDHDinCjLFij9QvU4AS329Arox0UC2/Zm5lIEQADHGW8BkNk0Lis1jfIRAgDwFu8mLpYXzBLLt5fAW+01/ugIjj6g1T7bCRa9AzAPXQ5/BeXfHeGJ7OHsKQNP8Vz4qPGK8w8ml/ReJfoPyjHP/PoIV+/bMczvYx4sRpQXSxFXJnshaekACwrc7x0gAoQve+TXKXPC7gOMCievi+WDCzIyXtxb/JAFTyagOGD1qe/wDvMiEgd/6BH/hhv3wSPu3f39/uBYZuKG6+Dil+3sLr4dYAZpAh8tMOpQFr4uwvMDBZbKQMwq+H3vLck1tllMgNbVJGz2KxGRB8Tn9fB2CYwTx/yKDDIAbw/3+hXZVPD/+PcndA0cJDvMmuaqGCIFygDT/j4Dky6FERcfzst/Gn35ryxE8EMy+Anm/Az7vsUJMC8ZmOnKE/zhFdWB+PTqReut+w/Rq+OrClQM7/FkGXrr1+/LHgQnQe9BTbr7YPz4JGEokR6vRtEBWuJMAtD/JQWNIUIR5vn45jj6HBXXJZn/wArr91UCdcS/4EnuRNoGDhRAsQRd3zW9dxum21jrTc9VCADp+MKw+2brUj69QocGVPqRKV0Obigtzcf5lPW+CGgr2ysb9jAW9RukJVgAnRWa8L0YAfh5zMn+BO96+u0bW+NVB+jj+/Un2ChO0xNJ4EPSVOKm19D1k1/99An7NSu1N24EE+otCFTYxPXu6g4EWt2oFlAcwzIR/CL4wt/t44wdwjM1OCTonwuzFKP/5dG+5q/vmQTFMOfsNSFVEcr1Gx78Am0XKjYG8cAMtQGjEzgkcwBpHfntb/NZAF0L7hikC1Tx0d8rF4TNblG0D24J6r80Eav4Rixi5//QLB/41AEPYyL26Mvq/yZU3RzpXwElFgwlIyRZyXgDOjxgCcIKavbiVoYCwyUW6T2sHQT/Qa4ZvAS8IFjpQttY+284dgr/1yfo6g+zDJopNeGNCeILgg0jAHM2NQcS5tH62ffs8qfemK2YBL4HzdqOAYna6N8Q8mf4nwiO/U8EJSEtFJva7QmFGrXvZvoH16f9mg3GL1oPKQynALwJVQDA8XhJre2zJ4AOxuqZ4Ov0Gg6l/V39vx/VJRn/UOWL9kQOEOv6+8HzL/AK+1IGmROMJvlKrgPu7ZwnShx3Bwr8AvjO5YfcUMqa5pzSUgGJDq0OktUW99bxNgfJ8LkP+OGCHSICbvkJ+7j60ejdMo3m4/ew92QadQ7c5gAqthkDxFfUAf+eBi8DDhm0/AzvQQuwH3QE6y1u+s3T7hH25BH9fxh6MDgNBEEIChfs8u205MAARQxi44Lw9Cv8CNT2+Pyktq24vfpPz8D6sAsD2ETlGBQkEmAlxiDR6LjzY/MU5V/sUOCMEArl7vKlEjfYVdU/zCku78po7ejjqzFiNzET3B3M/14cxduC9HL7Rt+FAtnqDfdN3XoIEART+HcBsvjg7xjPSBAwBqPogvkND2Y5iv8OyhP5EQcs9cLfWdVyHwDJpwiz6gXX3RmT+FgTude9HmYA4BZtG2EAH/X1Iu8a4+8s1HnznxbO4WDYMfDEE1Pq4/yL8cjmKQLPAoIIRv4r3/wa6AP6Egzm+x+L1uUGXE/xCdfdsRpsDKP7D/VSF5sNQytuFioktRZ2Ay7MVPzfLsD8edIzARLzWgdkEx7ssfwkDT0Ff+XS7e4msO4W52Hl7e1V+HYxgv68N3HsGfpKA2Tx2hrp6pMvXdj+MST/ouvpBznys9pDHR4AYwxE4bUINdvx7N3+3f+QFtTWjf3kI13iqDGtA+kFByPt1nniAyaGGb3TrQGLGz8GJf92AHMQ6xpPAVRHf9AINenaUhOs28f8cPDWND0P/ioa+/LrmQs85xsM3wwq8jf0QwgFOwf9ihDmG8fwixfE6XqkiSkzIY7YRyPB/vbenQOy2t/1CRVI88/FfgwwDos5v+E07ikNhyYaAeMny/toFoMcyAeINZbceteK0zLxSAbHBAb1exJBJRgG1hldD+DkBOdY6Y8P9f8s+6/D1vNxCCv8oQC2JS/wGRej/wPMTAWtDu4ZV+bdMpMmD/J325rYbCESBD0aX/w/DwgPHdcx0s0IufQqDIEMuxwMDMHzY/HZGNzxmADOCWr0QR6QJFgTVA+2DFYfCRsCKbzKhumqGEABISoR6rsNOONA/oEtV+SI/9Lf5PpgEXHlLe+zFwbS9ApD/nL+hPAdFnAEzwJ949f6QPd4Hc72WAB7/s35r+Ls13EvRRH291XwyiAc+hf85RIEM7osbSXTydz2wODZ6xYprv1W+2cKNONQ57buCc7K7hkeaPPlF3z4Uiw55JMCKwTIDWPgXfUfzqfYagd0xoQbC96cIhz3XATEEov/seyiMUTnkQJQ4/QC6LyN30ACGi7VqXQSb/0oJQwOnAiH4AcI3fCFGR/H0POt/F/vSQwFH1XkHuRG/UPk3O9HBYnw9uYSEvXWhPCsOIzp1efyC0InkStNQJn33QU98rXmwgA7G/oda/LJPFYzLwbLCWP31O6H1kMZEkRtD8YIPAj03eAIHDPJCtwBSyLeEJn3kTvoH1Xr0+3u6RZlIeVowEvu6d696qb6AeCp6xsPYgxhDNXiv/5f86AzfRwpCOvmSfSiFwvrE9IDFOHRwemjAaIvbBtj4cv6SAJr7KfsIibg5anhhPkV6Vz/hfTs/kbZhw1IFogC0hTV+TDKwzpq9IDgDeV62JrsCeA3+5QgguJ01voKNLS418vpBCFQEN/5kxb5J9cGl/klzjQwv93R+1YOMvQ+4gvcutzuHXv/6PjqFhsPvS4bD+oW6Ph7/+4dutwL3D7iMvRWDtH7v900MCXOl/nXBvknkxbf+VAQBCHL6bjXNLT6CnTWguKUIDf7CeCa7HrYDeWA4Gr0wzowytX50hSIAkgWhw1G2ez+hfRc/xXphPmp4eDlIian7GvsSALL+mPhbBuiL6MBwenh0QMUE9IL66IXSfTr5ikIfRygM1/zv/7V4mEMYgwbD6nrAeCm+r3q6d5L7mjAIeUWZe7p0+1V6+gfkTuZ994QSyLcAckKHDPgCPTdPAjGCG0PEkRDGYfW1O5j98sJLwZWM8k8a/L6HTsbwgC15j3y3QWZ901AkStCJ/IL1eeM6aw4hPD11hIS9uaJ8EcF3O9D5Eb9HuRV5AUfSQxf76380PMfx4UZ3fAHCIfgnAgMDiglb/10EtWpGi5AAo3f6Lz0AlDjkQJE56IxseyL/8QSXAQc95wiC96EG3TGagen2B/OXfVj4MgNKwSTAjnkUix8+OUXaPMZHsruCc627lDnNONnClb7rv0WKdnrwODc9tPJbSW6LAQz5RIX/Bz6yiBV8Pb3RRFxL+zXr+LN+Xv+WADO9ngdQPfX+n3jzwJwBB0WhPBy/kP+9AoG0rMXLe9x5WAR5PrS34j/V+SBLUD+OOO7DRHqISpAAaoYhum8ygIpCRtWH7YMVA9YE5AkQR5q9M4JmADc8dkYY/HB8wwMuxyBDCoMufTNCDHSHdcIDz8PX/w9GhIEbCGa2HfbD/KTJt0yV+buGa0OTAUDzKP/GRcv8LYloQAr/HEI1vOvwyz79f+PD1jpBOfg5F0P1hkYBkElexIG9ccESAYy8YrTeteW3Ig1yAeDHGgWy/vjJxoBhyYpDTTuv+GLOTAOfgzPxUjzCRXf9bLanQP23sH+RyOO2DMhiSl6pMTpixfH8OYbihAH/QU7Qwg39Cry3wwbDDznmQvy6xr7/io9D9Y0cPDH/KzbUhPp2gg1f9BUR08B6xpzEHYAJf8/BosbrQG904YZAyZ54u3WByPpBa0DqDFd4uQjjf3U1pAW3f/d/vHsNdu1CEThYwweAEMds9o58ukHousk//4xXdiTL+nq2hpk8UoDGfpx7Lw3gv52MVX47e1h5RbnsO7uJtLtf+U9BSQNsfwe7GQTWgcS8zMBedLA/N8uVPwuzHYDtRYqJG4WQyubDVIXD/Wj+2wMsRrX3fEJXE/lBovW+x8M5voS6AP8GivfRv6CCM8CKQLI5ovx4/xT6sQTMfBg2M7hnxZ58yzU4+/vGvUiH/VhAG0b4BZmAL0euddYE5P43RkF17PqpwgAyXIfWdXC3yz1EQcT+Q7Kiv9mOQ0Pgvmj6DAGSBAYz+Dvsvh3AVP4EAR6CE3dDffZ6oUCRt9y+4L0xdteHMz/3B0xE2I3qzHo42jt78opLj/MVdU32KUS7vIK5YwQUOBf7BTlY/O489HoxiBgJSQSGBRE5QPYsAvA+k/PvfqtuKS2+PzU9vwI9CuC8GLjRQzAALTk8u0X7AgKBEE4DXowfxgR/fbk7hHN02766y10BLAfQQsM77T8DhkvA54GAf9X1APEthkAKtzmdQ5kGrD34/eN5t0y0ei4+gn7bvkiAoId+OG5D8nwNgfW8Rb3ktWtDokOUgGc0prmUMqH3M7lAvgK/HcHShycJ+7trgP5SowmmRNSBgr7L/DB8/r7EOtEDov2UOUZ/9Ulvx9d/aX9Gg7r9JngxuqADrMnre14ScDxVQC8CacAKQxaD8Yvmg2n/QfXZvq174Ua7Qmb2i0UJSFPBI79nwhn+BDy6N+J2o4Bzdq+B5gEmK2n3uzy2ffR+hLmNQdzNiMAgg3iC40JNeGaKbMM6g8n6P/XdgpvOFj7QttY6bwgvASuGf9BHQQ9rBbpwyWGAuJWavbCCmAJOjx4A1nJIyQMJSUWXwEc6VTd/ybL6vboYyIBD/jULB//0GLnRiyr+DQR6r9uCbQPblGEzSsX0d9U8aQL7hhdC1kAb/P57WkdcwA4JKMTtQHADAbxKjZtF/wCGx7K9VURNSHn7MUwmQSv777m5dGj/7MUnwsk6DU4wjOMHe3jwt8i+BH8wzJQHKgWWt0OBO7qxPVU2C0IE+puBLU3NSsJ+/30k1/Q9abXVOJD0kng0xMoTifY+/Xo41UHW+PtG3r6BO/J/nnMAfi9GJrwnRVYAKQl9RswFhv22ytoK74IlPXH+S3NbihdDpEpVPqHBr1CUj5m67D7+MIA6VUITc9Y66bbdxs1vV3fsQQUQAYORNpJ7r/gdcRVAuv3wAqZ/9clHBU4+vjm5vlCEY0hJQXQ/0wCWuLRAa9GkR5hKPgkYPy6+0FNQe8EJ8se1+9662QZ7/FUDKsKq+MP0a37Rev06oH4FdX84coTmOkvGQkwvsUM++b8+AlDMkTwryx9+X8azssXH4URky4+A9P+ygAiBaoYmuY7zBwkdA33J//4VPAV2ff6bw8yAIoMx/yME3YJ9fDE55EHKxFs9tUkgNZZTDW2Lcl97yr4QMyWygMFwvO+LlAWMOofLWkCYAa+Hewul+3g4obrZuLgWP3+3f0j7vfBhhsR/3/oEgfzIvAOqe9g9aA4TyaQBVv8XtwyMoMLi+Unr4wK7gNzwtcpe+SELyAC7x0K3AALael7IVcmSxGUFyxGYx7M79sxV+/6CM/8yjH6D14ll/QPJorzqPFc+E/xKQPh7InsHeHl338FXQ4wD70DCRY+26DVjj7oCDX+W+1D830YYw0UAYf34QsoDhshseRtDJUbMArd7FwqhueXJVvlJUCVC7Dp7ygpDpjINwZm8yfwhDUIJlcPT/ojGmH1sxQcy3vXBthtCu/2ZB6889YUh+LW8j74TR4SDp7xwyKrCbADvyGj3FD6zvKtHEjzZxLlJYsbbAgXLvnqLuT27s4LVBUUIl0iaAT3BgYbmlofCJDwhANC7dr1T/JT/v0RzhM3H8Plct5192APhQYy7PMUdTLV5h7+wOsG6cMPqCMiJg0apxczzGIobugdHhb3bxymIHoM6Tpa7/svVOvm71D+hgNBBpgAkOs8+wPzZxKA+1kDbvqVDZgAjv2JC2TG3uoN/J7Uugz+6//6mB8fPUPzORWO7YIdpZoO6eghKt4r7RnW/uct9tPh5/yu7pgi0vzY1xrx2uZFCyET0drXBzzUMNjzsKAN6vCB74sNtEEsGZAnvfbxIaEWYyHO87ocTfSDtz0UVQ/A+koNPynQ+6XxlPOpzM/kr+T0H/b4avxp8xkTbx4330QYodTq9j3hG/0GN9n80eiP1qP/Uzv7BJgQphA1C/YNSBLr6Aj6+PUwJ6oaJ/xd734ENxNKL4Url/ay9fvi/io9C+D11uTRD2j3ah5C+NMObiOYFzrt2QDK3gcPEgxbFC8SlBNE7BtOXR6hE4HIbfuZDZMXqe/U6rD/z/GC/TcWGRPuINAmdvrg9Vby+/fyKA3zYNvD1J1OZgb+ByzwbRlTGOftVdY8F70F4fhF0Eb/XycM6GbB3PB5+tbqEeHHJPjnLiugLk3lU9Vr3cgEJ0MF9wnGggf9OHzslejU4C3TtveNCf4idvkxB8X1YxZKDNkfJQIX+JXrtQXv6Fcl1hkY6u2yM+Tm5/Qp7vui0sQBjPWNEZn/sA58E7MCR+N8DQMNUxeS8Z1ACC9RJUfGkuH5GpjiZgzs0nL+0QIT25EBuxnx97YB+/sDHgAH5hFjA88YEPQN45flietqHIv2NxnMF8UIo9d6/NDqIMSjKN/qBfxnDAg8ISV3CcAUdM3WMvoK5ODY2Iby8w278x3NiwGhG3XvqiPOCPb4DbZ429oKy/UD6R8MyQuk+vUFBiio7GLSdNiqCrH0kAlmJSMFWxArIY/usgJY+FYjbUuG8g4P3/59pTTFJwKfT07eMQRa85QO+zFOAgHnIiOO6echp/9vN/crPBtYNV8VfvJyIyUEAeYE5BH+//19SksWPBtBJD4KOOdDAlETZs5FF+saThQf9IUwKreHMfz0aSKY5vrtmvu6AjQOkwRVG2jet9IP6wPkRtYmHNoIxiGM8W0kjAV5EQwL3RoOwQTOmLrZA1rBISUhIGPxceZwHSAUKfifBvkMJf4oKIcclB0d67INNi04I14j/r4s54bqee948ysK8/RL8NMLze37HwDiLyroAO7QuQto6UwAzQ75G8ZP0Rq1HyD6nRlkFd29rxkOJgj3Bg7Z1OgIJOctBvwQez8N+Doi6hC28KzWpLcAEK3sRzaL+Zz7RyStw5cbSiVa9xD2iwKBKC4DMhzJ8GoLheJO8IsIt/CE+jQFS8fO/LTiHPL31VonX/MzA43pU0E4Hij73QR5BnobGEw4K3jkMTSj3n3oykYa9XBB9Oew20DmihyYraQXBQv7JdwRePG6EBMOyvS21JnsNfmMJugp/NUQ7SsnN+k0ARYPOOyp+sD8YQ7v9jbGFglv9vQZmCDCGwETZO9a5m76ciHRGD8to/rM15QyWdgjBZXrzfwkJXYY3BFp+sbt8P9+Dcca5wQXUl3/XuStBlQZswTxAPDaKu6S/ekm3/aC864UwvsdF/rqaBIV/K6/rdwu6e4KphpK+avfcP6i9lYjywURHnAm2gmEC93vhsyZCXf/Vy9S+rBH/AXCDIUbW/gC7GYgABajKwQUIB8eBrfrdfDsHKfe8BseGHUdW/ZV5Xznex0h9e3hDPVgEHXnwBvaK3IEiRZMCYgavhUx2HEWFwB8A0367ONN6bwBdePJ7vYpr+xmJ3wELiTA5lLZYRRf9RQxGQ1a6+P6iP4qByjqTPm+Oincyf01A6PykNxsG48Ovs+hGxbz683WE870XvvfGYXVlB3XFfEPY+dGBR0S2/nr9xAOe7yD7P/nKvGx8xH3uA7k+F4Y2eZ36m/8cP6hw7j5MQyhNb8sv80YFKn4Q7/WDxTqFtVZCd34byTqLD7gyPTvOMcbbe+VydHtdPrRCvn6LMHjXMD0Uczs+TLvWt3h30z+evYA+svWrvz6C1e+l+a4zJ4oQQRQ6kQkt+SHPUQH1TI9+0sKbQNn9QwExBicJigK/vaIArf+LhiZJNndaxT6CHf4NBczFHHfrOJQ2tIfKP4hKHLhWPk+2boGiNsS41IhJden8NTFogu80eLdYvAeIy++VxnkNjsAMwLF/HfIPg/UAyrELRY72uPuL/fxGWPnLCGc7wTpmSCnEFkKeiInGnfx5CknRzfi4v7yK8I2o+CR8yQR2/iWEmz9pxOEAV0aN+16CNII9AHs8zfzyeAtF3rtrQa4EHUbWh7y0hD3IwGYENcspRFpENEraALG70kj19RQDXsb3MytrHbr4vE/3bgC9elEBT/HJDQ5GuoarOve0FXp5THr9XjAZd5dAvkP2v4J7u/ozxIvF9nxTyzhWSImUf8KwmrZTUfb8SHx7zxy2N4uXAXYK9YJQPAzDPsGsBNtFFAU5hbgKF4HEDMb34YLYgCf9AQRQv+P5o+sj+ZC/wQRn/RiAIYLG98QM14H4CjmFlAUbRSwE/sGMwxA8NYJ2CtcBd4uctjvPCHx2/FNR2rZCsJR/yIm4VlPLNnxLxfPEu/oCe7a/vkPXQJl3njA6/XlMVXp3tCs6+oaORokND/HRAX16bgCP93i8XbrrazczHsbUA3X1Ekjxu9oAtEraRClEdcsmBAjARD38tJaHnUbuBCtBnrtLRfJ4Dfz7PP0AdIIegg37V0ahAGnE2z9lhLb+CQRkfOj4MI28ivi/jfiJ0fkKXfxJxp6IlkKpxCZIATpnO8sIWPn8Rkv9+PuO9otFirE1AM+D3fIxfwzAjsA5DZXGS++HiNi8OLdvNGiC9TFp/Al11IhEuOI27oGPtlY+XLhISgo/tIfUNqs4nHfMxQ0F3f4+ghrFNndmSQuGLf+iAL+9igKnCbEGAwEZ/VtA0sKPfvVMkQHhz235EQkUOpBBJ4ouMyX5le++guu/MvWAPp69kz+4d9a3TLv7PlRzMD041wswfn60Qp0+tHtlclt78cb7zjI9D7g6ixvJN34WQkW1RTq1g9Dv6n4GBS/zb8soTUxDLj5ocNw/m/8d+rZ5l4Y5Pi4DhH3sfMq8f/ng+x7vBAO6/fb+R0SRgVj5/EP1xWUHYXV3xle+8701hPrzRbzoRu+z48ObBuQ3KPyNQPJ/SncvjpM+SjqKgeI/uP6WusZDRQxX/VhFFLZwOYuJHwEZiev7PYpye5147wBTens4036fAMXAHEWMdi+FYgaTAmJFnIE2ivAG3XnYBAM9e3hIfV7HXznVeVb9nUdHhjwG6fe7Bx18LfrHgYgHwQUoysAFmYgAuxb+IUbwgz8BbBHUvpXL3f/mQmGzN3vhAvaCXAmER7LBVYjovZw/qvfSvmmGu4KLumt3K6/FfxoEvrqHRfC+64UgvPf9ukmkv0q7vDa8QCzBFQZrQZe5F3/F1LnBMcafg3w/8btafrcEXYYJCXN/JXrIwVZ2JQyzNej+j8t0RhyIW76WuZk7wETwhuYIPQZb/YWCTbG7/ZhDsD8qfo47BYPNAE36SsnEO381egpjCY1+ZnsttTK9BMOuhB48dwR+yUFC6QXmK2KHEDmsNv053BBGvXKRn3oo94xNHjkOCsYTHobeQbdBCj7OB5TQY3pMwNf81on99Uc8rTizvxLxzQFhPq38IsITvCF4moLyfAyHC4DgSiLAhD2WvdKJZcbrcNHJJz7i/lHNq3sABCkt6zWtvDqEDoiDfh7P/wQLQYk5+gI2dQGDgj3DiavGd29ZBWdGSD6tR/RGsZP+RvNDkwAaOm5C+7Q6AAvKgDi+x/N7dMLS/Dz9CsKePN574bqLOf+vl4jOCM2LbINHeuUHYccKCgl/vkMnwYp+CAUcB1x5mPxISAhJVrB2QOYugTODsHdGgwLeRGMBW0kjPHGIdoIJhxG1gPkD+u30mjeVRuTBDQOugKa+/rtmOZpIvz0hzEqt4UwH/ROFOsaRRdmzlETQwI45z4KQSQ8G0sWfUr//RH+BOQB5iUEciN+8l8VWDU8G/crbzen/+chjukiIwHnTgL7MZQOWvMxBE7en08nAjTFfaXf/g4PhvJtS1YjWPiyAo/uKyFbECMFZiWQCbH0qgp02GLSqOwGKPUFpPrJCx8MA+nL9doKeNsNtvb4zgiqI3XvoRuLAR3Nu/PzDYby2Njk4PoK1jJ0zcAUdwkhJQg8ZwwF/N/qoyggxNDqevyj18UIzBc3GYv2ahyJ65flDeMQ9M8YYwPmEQAHAx77+7YB8fe7GZEBE9vRAnL+7NJmDJji+RqS4UfGUSUIL51AkvFTFwMNfA1H47MCfBOwDpn/jRGM9cQBotLu+/Qp5ucz5O2yGOrWGVcl7+i1BZXrF/glAtkfSgxjFsX1MQd2+f4ijQm29y3T1OCV6Hzs/TiCBwnGBfcnQ8gEa91T1U3loC4uK/jnxyQR4dbqefrc8GbBDOhfJ0b/RdDh+L0FPBdV1uftUxhtGSzw/gdmBp1Ow9Rg2w3z8ij791by4PV2+tAm7iAZEzcWgv3P8bD/1Oqp75MXmQ1t+4HIoRNdHhtOROyUEy8SWxQSDAcPyt7ZADrtmBduI9MOQvhqHmj30Q/W5OD1PQv+KvvisvWX9oUrSi83E34EXe8n/KoaMCf49Qj66+hIEvYNNQumEJgQ+wRTO6P/j9bR6Nn8Bjcb/T3h6vah1EQYN99vHhkTafNq/Pb49B+v5M/kqcyU86Xx0Ps/KUoNwPpVDz0Ug7dN9LoczvNjIaEW8SG99pAnLBm0QYsNge/q8KAN87Aw2DzU1wfR2iETRQva5hrx2NfS/Jgiru7n/NPhLfb+5xnWK+0q3ughDumlmoIdju05FUPzHz2YH//6/uu6DJ7UDfze6mTGiQuO/ZgAlQ1u+lkDgPtnEgPzPPuQ65gAQQaGA1D+5u9U6/svWu/pOnoMpiBvHBb3HR5u6GIoM8ynFw0aIiaoI8MPBunA6x7+1eZ1MvMUMuyFBmAPdfdy3sPlNx/OE/0RU/5P8tr1Qu2EA5DwHwiaWgYb9wZoBF0iFCJUFc4L9u4u5PnqFy5sCIsb5SVnEkjzrRzO8lD6o9y/IbADqwnDIp7xEg5NHj741vKH4tYUvPNkHu/2bQoG2HvXHMuzFGH1IxpP+lcPCCaENSfwZvM3BpjIKQ7vKLDplQslQFvllyWG51wq3ewwCpUbbQyx5BshKA7hC4f3FAFjDX0YClwwAX8ra/jN/P7UMgqI4DTmKA+h4brP0QMMSDP1A+ONCfo19uxv66oJNOs7IVsr3/MJFza7r8mzI/vuFhEW79j1ijEivTvZT/fSBX4TpfJF3ivmodWDEd3lKPV27YLkgQd8JVXf0OPnLYAI9wKa3nrwv7td73v7cvfDCq4U1CV31dMc+QWf+v3hjAYBIw4kmhpMF3X4/uJa3c7l+9aS/9YcQhdVICZAciAd7LLoqyiXEw8t/e1i8dMC/jhLBOgYSucO2ncjs8VLzGQAQwcUI0vXBgzYAknUhgbv+tIp7/FH1w/rSPNwB28gb/6p2VQh4RgRCE7u1AUdDpS84gX85ewbaBtE0djcGg2tAQz29RU5EmP87OBWAHsGdSnJ6RIhPyIZ0M0GoyEy+bvwyRvnKZYBXA3oFA/hihZCPUb9yytQ9UHsFPSyEMPzN9Aj14bxw/AN6V79ridlA6TFWvpL3uwrH+H8BhnJQyClB3kTPfVf/7HV+Rhq+TD6wNWl+xERKhey7036XyOUCNU02h+nHRkXiv0iALwJ9eB3CL0CIv9O1Sgpcx9gGCP4+TIE7lMH1x/YIFMy3j/n54HcUf8tL0FQZQbfI17jCfvdDaP0zQqj1XrnViRbFfkh+R+8BD7urRo97b0gFSh74dRGtPvbzgbEjAmmCPrzVCBq8zwKLRFDBef+MhCp8Ov4p8z7Dg38VvZWC63W0/DeECYTFtIkI/IWpfZp3nnwaPZT3PvaW9q6GFwQegWU+kvL4ywP9Xf30fqu7wwU5h8i6oLwYxNz95n82axi4wL7WfZEBPgU2Ohyz3rbpxh02s4I1Q5855vrwyAMz0cfZvu564PVcSw88LEJWAGHI0PXBfGTzG4ajspP/ocMeyTAHqMEA9237e8Q4QDX41krgcDLKUD6aM63A3MMmcg0G9D1xP4Z2132thZEFKb3QRz3HDTNSfWCIBXmMv165lYLRSfo8LDIftzv+kjnyhRNy6TgtAZR/E/akgdJAdHynM185jkDZdu96Ir9SgTSILcW4wrY1XMlV/FsBN0Kq/Xc0F+/A+pT5GYFTNLG/XjlgDoB3TX+GS4qzAsZNvHvHiz3hdonFSjyrC7N6GYE8NmB2zfAkMnk/8z9qRfu28IX9jAuGHBC0uNOG+8zQdtiELElWO+YCafwJQHpy+f7zs1L5m8QOPOKIe/rDv4zEb4AxPY4B77G/wncFa/TSdQe9+Pe8vGSIJ0lKS/3CXwJcwV3AVIEudWUARTdaBPM6MzKgeurxtAIGt/J9Ozfi/X+Ig0XgkcKxeIi8AvqC+rqKUfN203rieB57Ij6CDeJCW4TXfMGIKTla+T5FB4JBRgnHB3WJ+8NBkcIJPmr81/kJhMb9wfulg0b/znx0+MhCUvtEdhW2NvhqOPvEzr/ewqDCzBOrgGi4E4kaxfC9ID0ChLWuzsvgA56CKHSi+VA3t/mskpj70DREyddCLgly/elzNX9e9Jr09rPt+azDsIj2REeFdDNpSIS6vrl4/1LGBMCVO649HfaYR8RG0jkCCxe63rg8PpH6W5dAvdB+tYQ2zZoEMYIlP+b8Owi0v2+Lr3/rBen/UAWx/vXGSHLQfuwI7EcRRXo7zE70eiWK4393M2XKp767x8zCqv64hfF8n4QNvLivIb7X8Cl+CvuPw5SB9ABh/CC47wIiwFLOq8FPRDep3khSvmazUEF0ASJ+K7V5Qw6FgoG/eU74tvqMEA8EokPNOYx2cvkdiEQ10Hs+PIv+vPTsPOg99/rBALw7hD+6MMaGDET/+qi/hnsD78A4kX9RhwIFUbcLO/qAA8/Xe6rEp7uNhET3fYVOCAxFIn/LewEOqDLqekpD7APh9nc/7AlbOFCxxT/7um8ErLq/LfPKUjzjiZAGP8KUxcCHPr4Uvn09zkL5hK3FdrtngtpBFUlrtC/9Wv98f9HAwL0yAZT/ADmBwDOUXUrjRDW/68cOiKt5JcYlCtsH3gcS8oUBoTh5PKqHRQXI+QhCU/6d+PRGVEN8vZa6/gjvArBDeDxwg1uKGPX0fLxFUH79Aw72cP3YAl42U8VutrHGwIJBx4yF9IGhQfRGQ0eYOV266YRjxiQGdUHRdd0EOUBQSo4LaTiO0mjC/ASnQn16hzdlPSA4bgEAe8lExkJQgLcDxIDYQB++Mb1wsS1A5kO1PDYF3vcUw3x+Y8V/yg2DkrzpAQ7A5T5MwgAB/AhQigL47INgzKkDh3N1wm52UAPjf8G2ibx9/jgEin5hgj3CYbS0eh09XfvBvx6L+P5H/Tv+DzbiRnZJvnW3QFx/uvwTuBP9nTklTAVGHYM6QRFBtX+e/EKzEblxOqk/PQMDQvzBbYP5BQB4aH1m+5nDdPkmu9F0lAfKAG30Qzb4MVL545G9SNIC3PtvK1+CJEcyhOVR8PaQwkQ9GALGvISBWgflQUS6GUPIC/O3bHljfHA/0j9vgJy8Q31IAokFWw2ROSeJTIKKNTBWBcQWgVN0jLi8f/Kt13W7Qt84GoEwPit/4ogPg5G43Tbbg9v6ZUjEg4zLIrgofdgyHAqIxwjHJkMpwbz5lrtjf7p6rUDuQNSIH7QQtiE1ocKQucUKyP/6O0o4Sj1ewn68QME9OZdDiQ3reUrFHX5edvrLkkY0iOl/ZDsYRSe9az/Bh8ZGsDRRO8l+q7qo/Tl/n4IIAbOzRED18NiJlz3nyXMC6EFedwH/nX0JgE99NoOZxDVAS/OngAXQZ4AL87VAWcQ2g499CYBdfQH/nncoQXMC58lXPdiJtfDEQPOzSAGfgjl/qP0ruol+kTvwNEZGgYfrP+e9WEUkOyl/dIjSRjrLnnbdfkrFK3lJDddDvTmAwT68XsJKPUo4ejtI/8UK0LnhwqE1kLYftBSILkDtQPp6o3+Wu3z5qcGmQwjHCMccCpgyKH3iuAzLBIOlSNv6W4PdNtG4z4OiiCt/8D4agR84O0LXdbKt/H/MuJN0loFFxDBWCjUMgqeJUTkbDYkFSAKDfVy8b4CSP3A/43xseXO3SAvZQ8S6JUFaB8SBRryYAsQ9EMJw9qVR8oTkRx+CLytc+1IC/UjjkZL5+DFDNu30SgBUB9F0prv0+RnDZvuofUB4eQUtg/zBQ0L9Ayk/MTqRuUKzHvx1f5FBukEdgwVGJUwdORP9k7g6/Bx/t0B+dbZJokZPNvv+B/04/l6Lwb8d+909dHohtL3CYYIKfngEvf4JvEG2o3/QA+52dcJHc2kDoMysg0L40Io8CEABzMIlPk7A6QESvM2Dv8ojxXx+VMNe9zYF9TwmQ61A8LExvV++GEAEgPcD0ICGQklEwHvuASA4ZT0HN316p0J8BKjCztJpOI4LUEq5QF0EEXX1QeQGY8YphF262DlDR7RGYUH0gYyFwceAgnHG7raTxV42WAJw/c72fQMQfvxFdHyY9duKMIN4PHBDbwK+CNa6/L2UQ3RGXfjT/ohCSPkFBeqHeTyhOEUBkvKeBxsH5Qrlxit5DoirxzW/40QdSvOUQcAAOZT/MgGAvRHA/H/a/2/9a7QVSVpBJ4L2u23FeYSOQv091L5+vgCHFMX/wpAGI4mSPPPKfy3suq8Eu7pFP9Cx2zhsCXc/4fZsA8pD6npoMsEOi3sif8xFDgg9hUT3TYRnu6rEl3uDz/qACzvRtwIFUYcRf0A4g+/Geyi/v/qMRMaGOjDEP7w7gQC3+ug97Dz89Mv+vjyQewQ13Yhy+Qx2TTmiQ88EjBA2+o74v3lCgY6FuUMrtWJ+NAEQQWazUr5eSHepz0QrwVLOosBvAiC44fw0AFSBz8OK+6l+F/AhvvivDbyfhDF8uIXq/ozCu8fnvqXKtzNjf2WK9HoMTvo70UVsRywI0H7IcvXGcf7QBan/awXvf++LtL97CKb8JT/xghoENs21hBB+gL3bl1H6fD6euBe6wgsSOQRG2Efd9q49FTuEwJLGOP9+uUS6qUi0M0eFdkRwiOzDrfm2s9r03vS1f2lzMv3uCVdCBMnQNFj77JK3+ZA3ovlodJ6CIAOOy/WuwoSgPTC9GsXTiSi4K4BME6DC3sKOv/vE6jj2+FW2BHYS+0hCdPjOfEb/5YNB+4b9yYTX+Sr8yT5RwgNBifvHdYnHAUYHgn5FGvkpOUGIF3zbhOJCQg3iPp57IngTevN2ylH6urqC/AL4iIKxYJHDRf+Iov17N/J9Brf0AirxoHrzMrM6GgTFN2UAbnVUgR3AXMFfAn3CSkvnSWSIPLx494e90nUr9PcFf8JvsY4B8T2vgAzEQ7+7+uKITjzbxBL5s7N5/vpyyUBp/CYCVjvsSViEEHb7zNOG9LjcEIuGPYwwhfu26kXzP3k/5DJN8CB2/DZZgTN6KwuKPInFYXaLPfvHjbxCxkqzBkuNf4B3YA6eOXG/UzSZgVT5APqX7/c0Kv13QpsBFfxcyXY1eMKtxbSIEoEiv296GXbOQN85pzN0fJJAZIHT9pR/LQGpOBNy8oUSOfv+n7csMjo8EUnVgt65jL9FeaCIEn1NM33HEEcpvdEFLYWXfYZ28T+0PU0G5nIcwy3A2jOQPrLKYHAWSvX4+EA7xC37QPdowTAHnskhwxP/o7KbhqTzAXxQ9eHI1gBsQk88HEsg9W562b7Rx8Mz8Mgm+t859UOzgh02qcYettyz9jo+BREBFn2Avti49msmfxz92MTgvAi6uYfDBSu79H6d/cP9eMsS8uU+noFXBC6GFva+9pT3Gj2efBp3qX28hYkIxbSJhPeENPwrdZWC1b2Dfz7DqfM6/ip8DIQ5/5DBS0RPApq81Qg+vOmCIwJBsTbzrT71EZ74RUovSA97a0aPu68BPkf+SFbFVYkeuej1c0Ko/TdDQn7XuPfI2UGQVAtL1H/gdzn594/UzLYINcfUwcE7vkyI/hgGHMfKClO1SL/vQJ3CPXgvAkiAIr9GRenHdof1TSUCF8jTfqy7yoXERGl+8DVMPpq+fkYsdVf/z31eROlB0MgGcn8Bh/h7CtL3lr6pMVlA64nXv0N6cPwhvEj1zfQw/OyEBT0QexQ9csrRv1CPYoWD+HoFFwNlgHnKckbu/Ay+aMhzQYZ0D8iEiHJ6XUpewZWAOzgY/w5EvUVDPatARoN2NxE0Wgb7Bv85eIFlLwdDtQFTu4RCOEYVCGp2W/+byBwB0jzD+tH1+/x0inv+oYGSdTYAgYMS9cUI0MHZABLzLPFdyMO2krn6BhLBP440wJi8f3tDy2XE6sosugd7HIgJkBVIEIX1hyS//vWzuVa3f7idfhMF5oaDiQBI4wG/eGf+vkF0xx31dQlrhTDCnL3e/td77+7evCa3vcCgAjnLdDjVd98JYEHguR27Sj13eWDEaHVK+ZF3qXyfhPSBU/3O9kivYox2PUW7xYR++6zI6/JNrsJF9/zWys7ITTrqglv6/bs+jWNCQPjM/UMSNEDus+h4SgPNOaI4DIK/tTN/Gv4fyswAWoyEeRh/uoMegMjDOfUl9/GIwTmzgPyDNj1OKGu2XAB8Aa55B0qeBFTCnYAQt873z0dJAenAtH3oyiMBtHZT9C1AHAHfRQ2wXUVHBOKwpUXEgNzDNHvf+wX8385ePL8AwrfUQzjEOH4qMxC6hULr/zwx1bniNsO66Hzr+R+/8wdwEofysroARmM4nUTm98U84Eofg6cGYD82unPDNj5DiVx+vsdwcTRBKr9++TV1wtSHTEGD/PdjqBtAKwOH+t38R4id/7x/FIqyPFtMwzkSCzLLdcVhsiyB2q5ld+56N7MgRbAEkS8XTxp/i4lxQVk3hHMrSXyEjX4iQ5//EVCvfl4AivXzgCB4o3aVRfOwgUbzBI+GWXfWhLaFbLw5BQk9+USYyqs8vzyGSABE9Ye6yzQ8gQoQubXGQjxOAMCAhoIyQIlIjruDyYdGq7QY90J/iUr++T2Id3tHQzI8Jz+3/oUIFvyrQnA/D7k4MjoBD/0px0HAeke/+uDOPiyhP801D4JPQJk9rQYleKTA0XoJgSRIMIAqg6L+yoD1fbDB7gEw+4xC1v1lujezcv5VOGP5nbaQAe664zwsQiTEAMaoRMe6MoaGPbI+WD7TwGo27ULyO2JIzop5zBdB9XSUvJCANkbE+wXGOAT5PjPzHgO8R0hAVU0+wKjHfIEswjCC14PV9x19lf6ZxnP8dDtyxqABzj7+yRqJuMvgRgA+QP3tUORCk/vTxa1BLID5bvsFZ29+vj9CQMgCvxl7AA+OvqV9aIPUjbg3MXlthJoEvT3bgrR8b39f96jA6YgKhQ9Jn7vbw5l8BD6DNrD+ODsB/7sJeDiHx3mFX8FePrv/oDPvfsyDR4fRSJh9kETD/APE20t9lFxAsgMnvZvLNgZAgjq9/nV0wtcwjIchxvV4JEm7+8s+P3zkg+1JLnc3u5ALAMH8gsL53wCbCjBAq7gdgN2ANMafvV+CHsHN/ih6vHlzxM58GjpHho+4Jrf6/7wx4Ecmfjd0rb7bP4DTC8VZgN9KsAfNBJl0qcqxOPf7YkQEjWC59P1bup2CqkE7jGJ/rAfYwCDAbP0yQQzPvD89+JbKDkYrS6f9fJC1TczH7UNCBF/CQnkJ/iS9Jvba8zy+4gKiAQr9KYXsseowCYhqREI/KYDovN0CenmugSSDqIIiPyL/Hv8JA7HNZQr9xmXt0/fpPsH380e2ez24KD5Gx3MCIYUegKyxtodtu+v7IHeAs6/SGjfOP996lIHtvdOD6TzShBY9Ms0XwJ+92QFHdm1xwXj8DTn9gssD9zyLx4nHQH9+ijtIBBu8GcpmfjF7V4i2uWnGbwNjhVV1E7/aia86slElQlzPm7wVOLE87ndeist8G8J9L2G828MFw0eC1/3vPe5vrMPmRyrIJLgUfdNF3YI/9ka+p0ENR6m4MYiZ+wl/czjcOljDobRif9iHhkUJfXJEhHd5hfWFUfxr+avGG3YbxsZ5TMHp/kH+lfp8vJ07BVGHQRaFFnkvTxqG+zt5is68pAVOMAG/NvPcPX+7hz19fU5ZFzwmeKk8vgcENgoBz4JwQMdEFEWvRpMBWXisut5CrXl0A+I4MsFYQU1KvJQgiUW/gERj/gMGIwapQ9qAJETMQ1W5Fz2cuMb1JjdcfVT6QrK6A5Y/2URFv6OCgsPRgLL/ubWdPWMFCEpgd/LCYT92f0xEHL07xfp85jRW85tDH7zhxb4BvAzIxzJEGoWZe5nESf/8hi30l0kw/97Jov9E/z36ucCF9efJiMkejLixJMRdRAn5QE8vyVbBerrT+PHHRz46+ZZCiHZa/goDpf6M9RM5PHZ7Q8wCXnt/NmGA3P9VPLHKswrDx9iIMoi9fH3+B6+kD7KEkIUwiW/J1AVe+2uvPvi8CG6FAD59RozMy4R/eylD+3voxMk0tcgfBKM8Fvxrg6V5b/8XexBCa4prBFg/zz9T+JxMjH+uCGV01juifK4HQL6vyIc67AOqtTX9QDx7+wq7+7AecvvCF7Um+jo+YroWQr49PPuGQXa/D0NCv4uA6bYCDGmJToaXgz/6toh0Q549bQvAvhk/lIU5B5qGe4dIBYTxTgO7+/8BWLgGO9R8hQEoiYjAHrF8smbBKzLghrJvEPrEeSC/E0LT+faDqoIphCt7R3wEhlABAvhNN2X0AQ5W9jIIZn6AhQ04EHseiJh4rz36hb+GqfljCwCucXozRjN56pBQgUD6Lrg2empyfHav+eR2EUiRRFnAhw3BRfFGjcdPOby9iczZwjqyAblJfI8FNMv0RYtB5AFfS2sDVwfbAg0+8gMzvP5FSQuq/Df4FcCt/QnEd3jqtZ0LZQVFfdG6fPzL/UPOBnpnCbK1zX2ECtU2W4FjMh0NAH1id4VF3EXkQvuNMLnTBAjynLThiIz/jgSogIU8JwP4P/o9h0G0+LOIf7KltVAGWodegf/DjwCuP8X3970XO49L6QGZUYlDm/olulhAyAPiBsG8KXA3CQj7xn+Ry3JHsHjzyGiFjncnOny5enlIhNOIpsJIv9T9a75MtVjMrwSAQZg/WwVyziKKAwGtS/eDJr/FPa/A7Dnc9bd8pXKJgEMF5McEzN4LxHm0/Vy6p7ktgLZ/2ceiw+c+N0DzhD59e4ds/3iG/cVzgDJ6Cn4NdQCKjz3jPUYIIMfew4c4Rfy3vnwKlDgjQXA6Ljkxd300H8nCvHJzvz7iQm40ogN6vnsw8nqAft6ypHvr9yR73rKAfvJ6uzD6vmIDbjSiQn8+8nOCvF/J/TQxd245MDojQVQ4PAq3vkX8hzhew6DHxggjPU89wIqNdQp+MnozgD3FeIbs/3uHfn1zhDdA5z4iw9nHtn/tgKe5HLq0/UR5ngvEzOTHAwXJgGVyt3yc9aw578DFPaa/94MtS8MBoooyzhsFWD9AQa8EmMyMtWu+VP1Iv+bCU4iIhPp5fLlnOk53KIWzyHB48keRy0Z/iPv3CSlwAbwiBsgD2EDlulv6CUOZUakBj0vXO7e9BffuP88Av8OegdqHUAZltX+ys4h0+IdBuj24P+cDxTwogI4EjP+hiJy0yPKTBDC5+40kQtxFxUXid4B9XQ0jMhuBVTZECs19srXnCYZ6Q84L/Xz80bpFfeUFXQtqtbd4ycRt/RXAt/gq/AkLvkVzvPIDDT7bAhcH6wNfS2QBS0H0RbTLzwUJfIG5erIZwgnM/L2POY3HcUaBRccN2cCRRFFIpHYv+fx2qnJ2em64APoQgWqQc3nzRjF6AK5jCyn5f4a6ha892HieiJB7DTgAhSZ+sghW9gEOZfQNN0L4UAEEhkd8K3tphCqCNoOT+dNC4L8EeRD68m8ghqsy5sE8sl6xSMAoiYUBFHyGO9i4PwF7+84DhPFIBbuHWoZ5B5SFGT+Avi0L3j10Q7aIf/qXgw6GqYlCDGm2C4DCv49Ddr8GQXz7vj0WQqK6Oj5m+he1O8IecvuwCrv7+wA8df1qtSwDhzrvyIC+rgdifJY7pXTuCEx/nEyT+I8/WD/rBGuKUEJXey//JXlrg5b8YzwfBLXICTSoxPt76UP/ewuETMz9RoA+boU8CH74q68e+1QFb8nwiVCFMoSkD4evvf49fHKImIgDx/MK8cqVPJz/YYD/Nl57TAJ7Q/x2UzkM9SX+igOa/gh2VkK6+Yc+McdT+Pq61sFvyUBPCfldRCTEeLEejIjJJ8mF9fnAvfqE/yL/Xsmw/9dJLfS8hgn/2cRZe5qFskQIxzwM/gGhxZ+820MW86Y0enz7xdy9DEQ2f2E/csJgd8hKYwUdPXm1sv+RgILD44KFv5lEVj/6A4KylPpcfWY3RvUcuNc9lbkMQ2RE2oApQ+MGgwYj/gBERb+giXyUDUqYQXLBYjg0A+15XkKsutl4kwFvRpRFh0QwQM+CSgHENj4HKTymeJc8Dlk9fUc9f7ucPXbzwb8OMCQFTry5ivs7WobvTxZ5FoUHQQVRnTs8vJX6Qf6p/kzBxnlbxtt2K8Yr+ZH8dYV5hcR3ckSJfUZFGIeif+G0WMOcOnM4yX9Z+zGIqbgNR6dBBr6/9l2CE0XUfeS4KsgmRyzD7m+vPdf9x4LFw1vDIbz9L1vCS3weiu53cTzVOJu8HM+lQnJRLzqaiZO/1XUjhW8DacZ2uVeIsXtmfhnKW7wIBAo7f36HQEeJ/IvD9wLLOf28DQF47XHHdlkBX73XwLLNFj0ShCk804PtvdSB33qOP9o379IAs6B3q/stu/aHbLGegKGFMwIGx2g+fbg2ezNHgffpPtP35e39xmUK8c1JA57/Iv8iPyiCJIOugTp5nQJovOmAwj8qREmIajAssemFyv0iASICvL7a8yb25L0J/gJ5H8JCBG1DTMf1TfyQp/1rS45GFso9+Lw/DM+yQSz9IMBYwCwH4n+7jGpBHYKburT9YLnEjWJEN/txOOnKmXSNBLAH30qZgMvFQNMbP62+93SmfiBHPDH6/6a3z7gHhpo6TnwzxPx5aHqN/h7B34IfvXTGnYAdgOu4MECbCh8Agvn8gsDB0As3u653LUkkg/98yz47++RJtXghxsyHFzC0wv51er3AgjYGW8snvbIDHEC9lFtLQ8TD/BBE2H2RSIeHzINvfuAz+/+ePp/BeYVHx3g4uwlB/7g7MP4DNoQ+mXwbw5+7z0mKhSmIKMDf969/dHxbgr092gSthLF5eDcUjaiD5X1OvoAPmXsCvwDIP0J+vidvewV5buyA7UETxZP75EKtUMD9wD5gRjjL2om+yQ4+4AHyxrQ7c/xZxlX+nX2V9xeD8ILswjyBKMd+wJVNCEB8R14Ds/M5PjgExcYE+zZG0IAUvLV0l0H5zA6KYkjyO21C6jbTwFg+8j5GPbKGh7ooRMDGpMQsQiM8LrrQAd22o/mVOHL+d7Nluhb9TELw+64BMMH1fYqA4v7qg7CAJEgJgRF6JMDleK0GGT2PQI+CTTUhP/4soM4/+vpHgcBpx0/9OgE4Mg+5MD8rQlb8hQg3/qc/sjwHQzd7fYh++QlKwn+Y92u0B0aDyY67iUiyQIaCAICOAMI8dcZQuYEKNDy6yzWHgETGSD88qzyYyrlEiT35BSy8NoVWhJl3z4ZzBIFG87CVReN2oHizgAr13gCvflFQn/8iQ41+PISrSURzGTexQUuJWn+XTxEvMASgRbezLnold9qubIHhsjXFcstSCwM5G0zyPFSKvH8d/4eInfxH+usDm0AjqDz3QYPHTELUtXX++Sq/dEEwcT7HXH6DiXY+c8M2umA/JwZfg6BKBTzm991E4ziARnK6B/KwErMHX7/r+Sh8w7riNtW5/DHr/wVC0LqqMzh+OMQUQwK3/wDePJ/ORfzf+zR73MMEgOVF4rCHBN1FTbBfRRwB7UAT9DR2YwGoyjR96cCJAc9HTvfQt92AFMKeBEdKrnk8AZwAa7ZOKHY9fIMzgME5sYjl9/n1CMMegPqDGH+EeQWIpIBCeMX0l/grh+n9ErUluL3EGchKuW4In8eWeC7D/opjQZmJehNNRkaMiIB7Q//7Un1gdN2Hq4IyB50Iyscvi4880QRkRl1G7bj99477EP3z/mzF+YHngwN0uMO3QrDDoAKDAJYP2P0kQXn9dIGLuW83djqh06R/iT5JwJ3Fu34v/j7CSYXJ/U5CinDx95w9zsjlRil6TEUixaf650XFxtf+RES9d4x29P44hX2MG3ydvks8RPeQS5AAQvsxjR+DF3mhRJ9B18QkfsS2s/lnQjE0UQVcOvZFkIEOSCcExvSkxcO8Djn3AVFFiqypt0EJp4CogZMRu/cKeNL6Zn+xz0EAPcGvfS0S1faXeu+MFn46+H1EEElC/vGTfweHfixCCrRABYc1KgFCOJvDoQRcSPzCikGQOmCJVP+YxoU+AX31wr/XMT2ZRt+7Bwd1fgYJZQWzhHK86bhvwnz7EMHKfVy0fvt2f30Cir1dvi+DK4W0AnZEtvZQQPB8cz+KvI7Fa3aKTfBBW/TPCmeGtbpVAEKFbsHjB3D/XHZuwr+43EF4uWQFCMAsB7zBsW29/zrEvoP9AiI3rH8UiXY21bjkvX/8yTxlvXx0zQg2wPO91zkMx9kEB/22ROo/L0HlQch4V8F897H/0v2hhr7xcroqc3OEBg0sdtXFmgkhRacyroSKxBE4JkKogdo0tjw5vvj7XzgngCc+abn/wmU4/vkZ95kE7vr/BR+DyPmcC39Hg/vQt6t41wsBe8mH18WGAOGAUYllBmf57H46vlM9cABBcowCgZaLehRJpMdDwDt6/z6L/D376zn/tU31Grj6CvF35v9HwIUQ30MhhNJGmjvnigjD/EF8/JYILoNTfjr+f7Ki+xxCKfpqxW577HtFAKiEkPI2bLtG1LIcwV4CosMl9Jp9mY6YN0x8O0fwA5SBzkIC/dzwqL/auO1KhUJADhsEWzo2hONAEkeBvqP87kAteB7Bz/ttiqjMhwPdAfQynUmjPfuw9LxsfkrKDzuTAJvM9LMIEVI8kERF+etFtzAlfgXH4w2rAVnArYNLgPOHY/7AMo99SwJAOEsFyf6xwXt0wHYjB0H80UBE81kB8oLShMMBbkMa/8w/rbigQHUrhvfQ/3b4l/P4R1SHHEZXiQ8EKIRlv++GO3wNt7FE+ADeuGvGJDrGDPj+kD6cgG4qlncpLrXGlPeuTDoGFXC//97IPDRLhWCEpgpYQ303sgbfN79AEL73wNU08j7Dg1701bsnhZK5knN+tWFDQITQ+zI/+jv9es4/AbfJhZ1Azv/TeciLPT+tc1CA4j57PbCHm8fyB9POWQFotLW8QMH3ivqA88oEt06CzbrdfKjGHH/0Cpg0bXf3thBJGTrA/D172oJCvo0yWf7zd2/J5XSjf8pGFj3QPRM3eQ8KukB8k4UeuIJ5hb9ZQe4El0PQ+NvAwMY4/K+9tXZ7vFz31cZnUdVCeTmVAeN9bjuVjE+Ap/98ADvAOTR6tvnC80GdyXcxg/xHuuYChrn6uUTxfrcJxUiCpYsD9W2GkggpbHSInAIIxOvH6/L8es02mQy/zVbxu8W5B5DNt8WpPla4hYwRP2PEJ40uPQF7v3upQ58754K8hM+9kYd/sof+oz8lxro5ScXHAGTIGbgpxADA/75Tu60/sjrSAQb2R4M0xdMGzYP5yAl35wDtA+C/6gL2i9i+3wYhh7zEDz1tO+c9pkTv/GXAVoFVQQP3JzhqfyG8FgGeNJEIFYQyRAkHDT6NQVyCbb0x/lQHYwX9PJyBcb2pi2Xz2bdmxyYF4r5AA6eBuQ5txLvLpQII/ip8KYUiyYQzrXtUPr8+zUXng/V12D+7v9MFRkAbdwK91/vECUD6uUG/+T6BS3YjO0r5DraTex396L8qtNg5Qkw0tsbMbgLWwWNCy/kzdxmJ38pywG2MtfkOt/xAVE8pwucAC/+ywwL6hTGbuHV9UkYpvV8IH4V6BQgGfrvIvRjHLfw5dtS5pi6zR6797PuqQqdLeQjagJB/efk3ts0DBXvxNEdDUkEFS2cGUQARjS63KQDgSwz1Hjy9/F74n36bsGI/L0NBwIK8VT1ixUqEFgu2BVZIfgDaShLBUkWCvf933Q2NSoz6tUuKObh70X1YdcL7AQb8NdK8mQj++liAooLMulKKG78rum5KgUElABTGnrV0u4ZBq/yijveBRYsBfsNGErhQyRY/6z8Pwro9EURgMoa/hXaY/QK3UQTOf6uIsfEGix3HQ42vAp5xhjY/AUCtG8litmYJWPichiuFi4CTwRiBDMu3vr4Dqcen/mh9p/zxOHTAEorCALcM3wL5CWULBL8seCzFurnFhcuKoUG/cwCAjHw+R7y94XuiOK/HZssrfB4DyXwlxr224b+i9w189tBvhhSvGHiEft7vDzhmQYlCl0v/QmwGtYwzfVOMiUQcQmZMVbZ2P0+A3ruLBqO8nsVAAYOMEvt2jaV6u4KA9ytDrkw5/pm/T/8VfptEcvqmOGg49nXR+Rp4qn/8uvWE+ABlODNCkzrdPSTHlMUUuUz1qXrbhAP/LnsqRHNE44jDObjHfPvOy2B4EUAQ68p+9kNkuFhC6fwpAgNBHADpyhB1APdNgkRAmJDVAi480O6n5vXFTgSDd+NI+cG4twiF5AqodCpCVMOgg7+F30SqPkwRa3u6O1M7KYGsCrn7z4SkTZDBYff0+re85UCHSKqLx31OeUGABkrBgA55R31qi8dIpUC3vPT6offQwWRNj4S5++wKqYGTOzo7a3uMEWo+X0S/heCDlMOqQmh0JAqIhfi3OcGjSMN3zgS1xWfm0O6uPNUCGJDEQI2CQPdQdSnKHADDQSkCKfwYQuS4dkNKftDr0UAgeA7LfPv4x0M5o4jzROpEbnsD/xuEKXrM9ZS5VMUkx509EzrzQqU4OAB1hPy66n/aeJH5NnXoOOY4cvqbRFV+j/8Zv3n+rkwrQ4D3O4KleraNkvtDjAABnsVjvIsGnruPgPY/VbZmTFxCSUQTjLN9dYwsBr9CV0vJQqZBjzhe7wR+2HiUry+GNtBNfOL3Ib+9tuXGiXweA+t8Jssvx2I4oXu8vf5HjHwAgL9zIUGLioWF+rnsxax4BL8lCzkJXwL3DMIAkor0wDE4Z/zofaf+ace+A7e+jMuYgRPBC4CrhZyGGPimCWK2W8lArT8BRjYeca8Cg42dx0aLMfEriI5/kQTCt1j9BXaGv6AykUR6PQ/Cqz8WP9DJErhDRgF+xYs3gWKO6/yGQbS7nrVUxqUAAUEuSqu6W78Sigy6YoLYgL76WQjSvLw1wQbC+xh10X14e8o5tUuM+o1KnQ2/d8K90kWSwVpKPgDWSHYFVguKhCLFVT1CvEHAr0NiPxuwX36e+L38XjyM9SBLKQDutxGNEQAnBkVLUkEHQ3E0RXvNAze2+fkQf1qAuQjnS2pCrPuu/fNHpi6Uubl27fwYxwi9PrvIBnoFH4VfCCm9UkY1fVu4RTGC+rLDC/+nACnC1E88QE639fktjLLAX8pZifN3C/kjQtbBbgLGzHS2wkwYOWq06L8d/dN7DraK+SM7S3Y+gX/5OUGA+oQJV/vCvdt3BkATBXu/2D+1deeDzUX/PtQ+rXtEM6LJqYUqfAj+JQI7y63EuQ5ngYADor5mBebHGbdl8+mLcb2cgX08owXUB3H+bb0cgk1BTT6JBzJEFYQRCB40lgGhvCp/JzhD9xVBFoFlwG/8ZkTnPa07zz18xCGHnwYYvvaL6gLgv+0D5wDJd/nIDYPTBvTFx4MG9lIBMjrtP5O7v75AwOnEGbgkyAcAScX6OWXGoz8H/r+ykYdPvbyE54KfO+lDv3uBe649J40jxBE/RYwWuKk+d8WQzbkHu8WW8b/NWQyNNrx66/Lrx8jE3AI0iKlsUggthoP1ZYsIgonFfrcE8Xq5RrnmAoe6w/x3MZ3Jc0G5wvq2+TR7wDwAJ/9PgJWMbjujfVUB+TmVQmdR1cZc9/u8dXZvvbj8gMYbwND410PuBJlBxb9CeZ64k4UAfIq6eQ8TN1A9Fj3KRiN/5XSvyfN3Wf7NMkK+moJ9e8D8GTrQSTe2LXfYNHQKnH/oxh18jbrOgsS3c8o6gPeKwMH1vGi0mQFTznIH28fwh7s9oj5QgO1zfT+IixN5zv/dQMmFgbfOPz16+jvyP9D7AIThQ361UnNSuaeFlbse9MODcj7VNPfA0L7/QB83sgb9N5hDZgpghIuFfDReyD//1XC6Bi5MFPe1xqkulncuKpyAUD64/oYM5Drrxh64eADxRM23u3wvhiW/6IRPBBeJHEZUhzhHV/P2+JD/Rvf1K6BAbbiMP5r/7kMDAVKE8oLZAcTzUUBB/OMHQHY7dPHBSf6LBcA4SwJPfUAyo/7zh0uA7YNZwKsBYw2Fx+V+NzArRYX50ERSPIgRdLMbzNMAjzuKyix+dLx7sOM93Um0Mp0BxwPozK2Kj/tewe14LkAj/MG+kkejQDaE2zobBEAOBUJtSpq46L/c8IL9zkIUgfADu0fMfBg3WY6afaX0osMeApzBVLI7RvZskPIohIUArHtue+rFafpcQiL7P7K6/lN+LoNWCDz8vEFIw+eKGjvSRqGE30MFEMfApv9xd/oK2rjN9T+1azn9+8v8Pz67esPAJMdUSYt6AZaMAoFysABTPXq+bH4n+eUGUYlhgEYA18WJh8F71wsreNC3g/v/R5wLSPmfg/8FLvrZBNn3vvklOP/CabnnPmeAHzg4+3m+9jwaNKiB5kKROArELoSnMqFFmgkVxax2xg0zhCpzcro+8WGGkv2x//z3l8FIeGVB70HqPzZEx/2ZBAzH1zkzvfbAzQg8dOW9STx//OS9Vbj2NtSJbH8iN70CPoP6xL3/MW28wawHiMAkBTi5XEF/uO7CnHZw/2MHbsHChVUAdbpnho8KW/TwQUpN63aOxUq8sz+wfFBA9vZ2RLQCa4Wvgx2+Cr19ArZ/fvtctEp9UMH8+y/CabhyvPOEZQWGCXV+BwdfuxlG8T2/1zXCgX3FPhjGlP+giVA6SkG8wpxI4QRbw4I4qgFHNQAFirRsQgd+Pwexk0L+0El9RDr4Vn4vjBd61fatEu99PcGBADHPZn+S+kp4+/cTEaiBp4CBCam3SqyRRbcBTjnDvCTFxvSnBM5IEIE2RZw60QVxNGdCM/lEtqR+18QfQeFEl3mfgzGNAvsQAFBLhPeLPF2+W3y9jDiFdP4Mdv13hESX/kXG50Xn+uLFjEUpemVGDsjcPfH3inDOQon9SYX+wm/+O34dxYnAiT5kf6HTtjqvN0u5dIG5/WRBWP0WD8MAoAKww7dCuMODdKeDOYHsxfP+UP3O+z33rbjdRuRGUQRPPO+LiscdCPIHq4Idh6B00n1/+3tDyIBGjI1GehNZiWNBvopuw9Z4H8euCIq5Wch9xCW4krUp/SuH1/gF9IJ45IB\" type=\"audio/wav\" />\n",
       "                    Your browser does not support the audio element.\n",
       "                </audio>\n",
       "              "
      ],
      "text/plain": [
       "<IPython.lib.display.Audio object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fs=32000 # sampling frequency\n",
    "N=1024 #number of subbands\n",
    "#spectrum in dB sound level, 60 dB: speaking level:\n",
    "spec=np.ones(1024)*60.0\n",
    "#Convert to range of internal representation: Value 1 or 0 dB is full level,\n",
    "#assume full level will result in 60 dB sound level from sound volume level:\n",
    "spec=spec-60.0\n",
    "\n",
    "noise, fs = noisefromdBSpectrum(spec,fs)\n",
    "\n",
    "noise/=np.abs(noise).max()\n",
    "import IPython.display as ipd\n",
    "display(ipd.Audio(noise,rate=fs))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The sound of noise with similar power but now not with a flat spectrum but shaped like the hearing threshold in quiet:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Miniconda3\\envs\\TU_Tutorials\\lib\\site-packages\\ipykernel_launcher.py:4: RuntimeWarning: divide by zero encountered in power\n",
      "  after removing the cwd from sys.path.\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "\n",
       "                <audio  controls=\"controls\" >\n",
       "                    <source 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\" type=\"audio/wav\" />\n",
       "                    Your browser does not support the audio element.\n",
       "                </audio>\n",
       "              "
      ],
      "text/plain": [
       "<IPython.lib.display.Audio object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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5wJHD6N27N/qmNDT3pigeE7F2blvRjLgTQGuf31sB2O2/koicAeAhAOcppfIt2C5R1BwvKAIArNubbWr9UJobiaiSiUKfrYyDudh6MNfUugu2ZOKY5xpGzrAi2FoEoKOItBWRJACXA/jFdwUR6Q3gbWiB1n4LthmXrv5gIVLGTsR6kzd8ss6GfTkAgAd+WGlq/VMmzLSzOBRjUsZOxOO/rC79feXOLKSMnYiVO7McLBXFsrT/ppdOLB7InqzjuOyd+fjPt+YmHyd7RBxsKaWKANwKYAqAtQC+UUqtFpEnROQ8z2rPA6gN4FsRWSYivxh8HAUwa8MBAMBzk82NpiHn5OTzKTJSJz85DWe9NLvcayljJ2L0+wscKlFkPpqbUfrztLX7AAAz1u1zqDRkKxflMcvN99bKH3W4JPHNij5bUEpNAjDJ77VHfX4+w4rtEFFwF705F5v252D5YyPw2fxtePinVVj26HDUr5nkdNFCkplbgMzcggqvz9l40IHSVC7ipmigMmLqB/LDDPIxiOdxfNhx6Jjhsi0HcgyXLdl2uLTP2GfztwEA9mTlWVs4IiIyjcFWDJq5jt3e4sFzU9YbLnvMp/8PEbkMKw7JjyXNiERkr2U7jqAKL+BERDGJwRZRDLjg9b+cLgIRmcW+HuSHzYhERHFGWEtKFFUMtogoLt3zzXLDefIKikpwyoSZmLPxQJRLFR2KNS/2YjBLfhhsEVFc+v7vnZjwu37OutW7s7DryHGMfn9hlEtFlQKDWfLDYCsG5BcV44wXZpV7bfKqvQ6Vxt1KShRKSvSvdMUGr1P45m4+iF+XV5idK+Yd0snvFQvW781GytiJWJxxCCljJ2LZjiO667EZ0T3yCotx3UeLkGFy6h2lFO74aqnNpSKrMdiKAdszj2HT/vJ5le76epkjZckvKsZ/vl2O/UcD52368K+tmLo6+gFhr3FTkaYzhcWuI8fR/sFJmLPTmTkLf1m+G4szDuku+2z+NmzYF5tTMF357gLc9uVSFBSVOF0US8VqM9uL0zYAAB7+aRUA4Ilf9VOEmNlfRcWVa5+61ZyNBzFz3X48NXGNqfWz84vw87KyB5yvF203XPd4QTFenrEp4jJG2/GCYqSMnYiUsRMD5huMJQy2KCRTV+/Dt0t2YtyvgS8M435dgzGfLolSqcpk5xdhu87JudkTrM7f48w0Ord/uRQXvzVPd9nDP63CiBdn6y6LFaqStZvY/dd4azHW7rF2CpXJfg84f2/Xr9lavO0wMnPyA35WrB+TjopizeH93xvP1/ryjI1h1zw7eUbvOFx2Df/+750OlsQ6DLaIXErFavVKJXbkWEFpdn7dZcfM1ZxOXaMFRVNW2zM34joTk9XvOxo42NpislmLdIRx6tpxuh8vKHu4lDDbjp1ucd55+LjDJbAGg60o+2vTQRw5Vr4/yNG8wtJJpt2OfT1iSzzGa1nHCpF1vBB5hcU4kmdtU9hJT0xDr3FTjZc9ob+M4suWg7l4/JfVGPnyHMN1hj7/B56fsg7/m2o8U4TV8gqLsWpXVtD11u45WjqBtdMqSxcFBltRlFdYjKveW4CrP1xU7vV/f/43rv5gIQ5kB37SdBPfZqO8wmIcDNIkQc6KpyC51xNT0WvcVNz06RLcmV45norJHeZuPogr351fOtjG/3dfH83NCNhMvC3zGF7/Y7OpWkir/Oe7FTjn1T8DXq/zi4ox8uU5US1XIDsPV+wWUlhcgs1Hik29/2BOfsC5ZKOFGeSjyHtCbvTrDL3lgFZdn19k7uBxkuhUKnd5ZDIA4MsbB2Bg+0bRLhKRrkhqi+OhCfdYgTtqLmLJ7V8uxcGcAhzKLUCTOtUq/B6JaBxxS7cfBqB1QDcSC6O2n5u8Du/Oz0P3npnIyS/CsBOTK6yzJ+s4th7IxTUfLUJBUQkyJoxyoKRlWLNFYdG7F/3tOZHd4B9vlE1vs27vUfzrA+ZLIvPsvt3oPbRE23dLjDseb8+sHCPAzCgpUVDKOGUMabLzCit0gSkuUdh9xN7aY729smqXVmN42Tvzcf3Hi3Vr6ka8MBtXvrfANc2QDLZcJBYepmOlOWqpzyis7wPcVIji1VeLduDKd+dXeH3h1kM49fk/HChReAqKSjDFIM1MYXEJJq/aW6GmMmXsRBR6Ulu0e3ASOj38O9o9OKm0uensAH2tYolRp/hw7jV9npyGk56YVu61l6dvwKAJMy1Jz7DvaB5Sxk7U7cO2YZ+WP86bImfelsxyywt10pRku6TPmReDrShavVuLxo/5VeHu8jwZLNnmnpqhYGIhMCRy2uRVezE0SODyn2+XV3jt60XbdZNcTluzz9LrxNzNmRVei7WEyS9O34CbPl2CVQcr3lxfnbER//fZEqSvr9ikfCy/7DpcWKxd0Nbu0W7ma4Kk5Agl1Yles5xeDjM7mq79PzOSh2Xvd+Rr9saDAIADQfrsZubk45tFO3SDIi9vTeurMyvmBZu4Yk+5/8Oxab+zfdDiOtgqLlH4foP54drvzt6CrREMh/50/raAy1+ZuTHsz44Wuyu28gqL8d2SnSFdeNLX79ftREnAes+TYIk7atJjhlX3vQd/XIltQZrkvtWpeb3/+5U477U/K7x+4yeLcdGbc60pXAT2ZJU1HR3NcyZRsJc3NUCOTtJ/7zLrZgQI/Qqol4D6hk8WW1GYoJa4pGvHyU9Nx33fr8D4SfrTY4UiUPN3IGe84GzeuLgOtqat2YtftxRi3G/6WZZ95eYX4elJa3Hp2/qJKc1YuLXiU6Qvb0f5WKD3ZGfFk9mE39fh3m+Xlz4xmXHNh4sw3OETyY18O0AXBMkG/uPSnaUdyj+dl+Gq/neVkZkahqN57moG8TVw/MzSn897tWJQqCc7rxAZB3NjdiqkcP2ik1RUr6bNDvmFZee97ywkTiUhXrfXuMYw0Dnx6wrtO1ywNRMz19mTm85ucT0a0Vstmm+iA5330DzmsnbgaLO7z9b+bG0aoJwQbzTHC90/kjPa3krfbHrdu77WmrIyJozCIz+vLv05frGd3KwMk53pB02YiWzPee3EsbUt090Ps9E44twwMMOIUdmUKquIWLsnG6d0qDji3c1/l1dc12xFWygHRGZOvum5yQ7m5Ic9XPe+75bjiwXGc2sBwMx1+zD6/QVQSmHFTi0hnl7mazMVW39vP4xHfloFpRTyCotx6xd/swnQQKQX3wKdPhZETsm2qabO7ChCvb5AYXPZqdXugYl4afqGcq8Nff4PbNzvfH4ps6pEEC/lxcDDNoOtEOUWFGPORnNVwCUlCl8s2B5y/qy8wmKc/NT00hqGQLKOFSL1qel4euLakLbh9c3inXjwR+O5tQDg+o8XY87Gg1AKWGki+3Agl741D5/O34Z5WzLx3OT1+G3FHjz+i7kJWONNfgxcQJz22fxtFfLWBZKTX4QXpm2I2iTLRvcP9z+Hx46JK7VO0xtNJrkMR35RMYpLVMCafSfzJJYo4KXp5fv8Buor6MYBTmZaTZRSupUW+47m2VAiazHYMsl3945+31zOpl9X7MaDP67EqyHOuu5NOPf7KuORF94D09s51TvXmp0ycwswJ0BfKr3z1/9py+vKdxfgg7+2AgCmr43NNni7TV+73+kiuN7DP63CmS+Z76/3/OR1eGXGRt1+NL7ceDOqTOwYeZeVb99O6/zwZLR/cFLQdSKRvv6AqcFad39dcfSqWVZ0A/GdxmfZDv2JzsMRSVNguPM+RhODLRt5O7gePlY5OoT+sS70m7//0xY5w/2XovCF0oLu7dsXaAi6Fd5I34QPPQ8TZqzenYUbPl5se7ncIliqgGg4Vui+/rezTbSaRPJw6q3tiuQ4u+eb5aY/IzuvsNxozLmbM/HUb2t0g21TNVvmi+k6DLbItGBDvP3zhzktZexEfL5gG96dY/6mV1nZ/eAXCx1UAWD9Pq0Py6HcsmNZr79jsKl+tmXm4tUZG6GUwv+mrsferPLNGM9NXo9xv64x/b2Pfn8hpq/dh437nO9j49RItWjLzQ//euXWbyjjYC6OFRRhf5BmtUjSdXgTi/qeN5l6eTcAfDJvG35cuqvca+/9uVW35ni9ibkYs/OKdJ8cL317Hm77cikAIOt4IVLGTgz6WdEW16MRQ+FkLWWRw9NIeE+Mp4L0C/t60XaMHdkl4DrR/lvCzclCldNyT7PHH+vLammPHi9Eg1pJ5db7atGOCu/1TVnwrw8WYlvmMZzYvC5enbkJC7Yc0l3PiH+zh/c9G/Zlo2uLuib+Es11Hy3CpamtcVb3ZkHXTV9vrmb6syD5ACuP0K9F3r1WVKJwINv52jl/af9Nd2S7h3Ij/y708s2F4tflu/HqFb1xINud/bcYbOkoLC5BYXEJaiZZ8/UES2poRClg0so9yDqu/xSyOOOQblbfWMa+MgQEr1nannkMJzSqGaXSAFNX78WYT5eU/u7tV1msvOljympJ+jxZfkqTUOjN8RbIzHX7MXPdflOpFG7+7G9Tn6l3TcnOK0Sd6lVDKltl9tjPqzF97T5Ur8rGoUjtP5qHKiEMRQw1LZBb8EjRcdV7C9D10SkRf463XfrPTeYTdAJlz1tZxwtxy+d/4zWDIcsXvzUPV+jMbVYZxEB/R9fzTWoaa372a3rwt3RHdJOuLso4FHylGOU7afuCLfqJl39fGVtT+Jih92AXLPG0l7ffVF5hbPaxC/RQa8UDb9bxwqAjfvMKi3G8oBj9npmB1Kemm/7sYA9ibsWaLR0Lt1a8sIbTJ8VoctRQ7Y2BYa2B7Dh0DK0bRq8WIlr2ZuVh+c4jWLLtMLo2r4t2TWqhZ6v6Ther1CfzypqDYqVPlZ4zXpiF728ehNOtbCKxuAZ1v2GTkvu/d99J29Nj9EYGhPeA5t9fzzt/LZU5lFsQtA/U/d+vxN6ssnOg17ipAICkRP36nLmbM3HdR4uCzmxRmbBmKwI/L9uFUybMLDeyYuvBXKSMnYjc/CLLOozbMUzaDkalfH5KxVncK4NBE2bgpk+X4J3ZW3Dn18tw3mt/BX8ThWzT/hws23EEmS6c5sWblXxPVmgPRO4PwSof/0mMFYCXZ5QfLb04yCTf4da4+17DA3VO9x9o4QZmOq4D2oTg/goMZmd5ecYG04FWbNz9gmOwFYE7vlqGXUeOl5uu4jTP0/eYT62baDTUg23zgRyM+WRxuX4kmw/k4Ea/1ygyDo9boEiEeNP0nw7KW5NlR5/Jw2EGlUYPZW58WDtq0A/VTnpTes03aDYNVSgjOPMCPITPs6g8wYRyRLjv6IlNDLZMCvREo7fIyjQIoV4rH/5xFaau2YclGYfLvTbN7zWrufCaTjFm2P/S8fBPgWc08Lrinej1V/xsvv6UVsFqOopLQm8mCXfE7lXvLdB9/dzXzE0UDRj32bKab+oNfwey8w2n4Mk6Xmg4NQtrC+1hVUAa7xhsWcCbR8SoyjRUbnwSddLerDx8vUi72aWv329p1uJ4YfeAA6uaPzYfyMVn87fjhyAd5L9auCOyWgCLTrFgfeEOG2UED/C2cPNczd2s/32s2mW+H9Lf243PrW8W7cDiAAMFfly6E3M3hzYYyN+OQ8fQ9+npeHOW/iTqvcZNxQWvm2+uD/RNKmVdgBbsODB7SY/mtd87P61XXmGxbpBr1X0t3jHYsoC33f/TAPlpzCZZSxk70fR0QL6KHEgB4T+QwHuhuOq98jUOmw/kYMXO4AHS3E0Hdee4Gv3+Atz//UocOVaAaz5cFNLF1g45+UXo+qj+1Bw9Hp+CaWvib/qhaGfjjlZzC5W57/sVuPiteYbL7/p6Oa58V792zZ9RUOHt+xYoJ9g6nz5EvrUu246W4IjPbB17s/Kw5YCWJFavP9HczQd1g6BAAaVRUBULEyH7Ugp4a9YWdHlkMjJz8nGsoAhdHpmM56dWzv61bsBgy0LBTjiztQtr9oQ+IiYnP/rD/Ee/X/HCuu9oHv7aVP5GuHr3UVOdx698b0Hpk/W6PUdLE1B6p/Y44ldLsPPwMdOTgvs7kJ0f0gTGvtbvzTZsJs7OK8Kzk9eF9bmhCDRHJZlgUZWGLfu6klVsK6UqBFcKMGwqDMXlPk3J+44pXPp2WTA4YPwMLN+ZBQDYefh4hfeO+/3q4xIAACAASURBVHUNFuoEVoECSiOh5Edzy+79eZlWe7zvaH5p7iq9JNCOl7eStPQw2LJJsGt5QVEJXpy2IewnIv/Pj/Te8dsK/Yl5AwUk+UUlWLUrq/R3BaD/MzMiLInmlZmbcL6nBssbZJ39ypxy65zxwqyQawG9p+2pz/2B4S+an8A4GgqLS3Dlu/OxJMiIKC8rblZmFZcovDVrs6ncXSUlCm/P2lxuwlrv6w/8sAIb92XjhWkbwg6ULeH31a3fm40HfliJ/05Z76pm/Oy8QhQUlSAnvyhmm3PaPjAJ//R7MHvytzVo9+Aky7/rDQ5NdxTsVDT7V7rnyLPXoiB9h/NjNH9ZIMyzZZEFWzLx3pwtptf/fMG2CsOOI5EdYc3Wyp1ZOKdniwqv6z0R+ormJNv+tUmRJBTUG5nktIyDuZi7ORP7v1+B6XcPdbo45UxauQcTfl+HvVl5ePy8bgHXnbx6L8b/vg47Dx/Hkxd0L319y8EcfLlwBxZuPYTNB7SUCWYynwP292U577U/ke8JZi7o3dLWbQGBH458/9Iej0/FgHYNMX/LIZzcpoHdxbLcHV9p89Xp1XYDwAVvzMXP/z4l6uUKl1HOw0/nZUS1HNHkf+5l5xfh8nfm4YbB7Wzb5urdWcFXMuDWRLMMtkwK1gR4mc7IqED3B++FPdba+v3ZXQmw87D+VEdrw2hqtcorQYLkTfudn0zYX6Qd5L3BqZnmau9UNp/O34ab09qjRf0aprbx/p/GE4Zf8+EiU58RjvyiktLzEUDQSXyjbb5n3kWzNZ5u8vMy/Rpzr+WVZLDLT0H+TrOiVanqG0AFG5Dhv/RAdj4OZOeXHpd2+M0nJ9qqEBPNujVRalw3I3o7Qvonu4t1erVN3hPK90D83upJmm24UAx+9g/d10e+PKfCa5sPVAxy/CcFXpNZUiFrdKhCnS7CaG5Lf5WxCWHQhJnIOJgbdL2nfluDJ39bE4USefgEn/79bZxOnupEK2akowj1mM0X5ps0M9gUL17RbEK3QrngxkTR52w8UHo9KygqwZcLt1v+N/tPhu4mvlPchXq9tvy+ZpG4DrbC6Yhult6BrJdl2o5LxjqdjL/7j2o3lHG/lt3Q7vl2eenPXyzcjv1+s6UfLyjGe3+abxoN5vkpxp2Jb/9yacSfP+x/syq8pjcJ+CfzMiLeVijOeKFiufR8tXBHRNs5cqwgYM3TriOBm4QjEWjoe1qQaXZW7crCewFqtWzhc+Kd82r5PFRO9iVzqrvYi9MqjtaL1DITI5AB4NvF2nGfk1+EKz25wpZuP4JL3ppbui+u/2hRaYduALj9q8ivF9HkWys5O8jxlfrUdIx+f2Hp9ez1PzbhgR9Wot2Dk3DAcFqo0Lyevlm3aV4p4CW/kZtLA6QDcZtVu7Lw+QL9nHhOi+tgy07Bnhmi8Uzheyp5p4jYalDLkJ1XhBs/WVLutf9NXV+hr4U/3+aXYPeJ1//Qz50DAL8st6Ya3gzfeezMPElHmnXf7AUy3KbRPVnHUVhcgpOemIbUp6bprvPTUm1qqflbMrH7iLa+W0Sz358Z/jXd8wzyV0UiUK1CuHm2Yp1v2oaiEoVFGYdx19fLAAAz1u3HHV8tK13+W4y1RvjOU/pmuvF1UKFiTatv7XxGZvBaYjNmbzig+1B+MCcf786J8oOPhfwfnNwkrvtsRfIU2fuJqQGXB5tjyw53fLUUi3Qm0faXMnYi/ndJrwqv+1f7B5rDy2vp9tjrR+Lrxekb8J8zuwRc59GfVkelLN7cUaH0+crNL8LA8TNxaWorAMadQ2dv0Krl52/JxOXvzMcV/U7A+At7mC+cjfd/t02Snes3EOOKd6OXqd6tLTt2BoDFngtxqLU2bho1Gky435/Z/IyRiKGvMabFdc2WXkDkW1X9wA/G04YYZoYOkZUXjJ+X7cZuw0ze5a/ib882froKhW/pY+ni57V+b/DAZuWu8EfG2M07QnPmOuMkkACw3pPCwzvtzJcLQ6tqn7pmL4Dwa2TbPTAR786u+MScMnZi1Jt13S6c0yj1qekBl/d4bEppUKMn2ByPdtTueX08NwMA8I835ob0Pr2cUG615UBZjZRR64IZMXiJJY+4Drb0+FZVh3pDCoXTT7Bm8tG4rcbBKpXpgrUqxCHSwZIvfqHT32FvVh6mr60YzPnmWFu8LXCNaokCvl6s3ydtqgUZ91+evtFw5CqgdTIeP2ltxNuxitXnf7D9mh0kT1ewKbBCTZqslMJXJq+fJSq8KWHW7gkvKbET9Jrs9MTiAyuZw2CLIuJ7bYjNy0R0S/3p/G3YcUgLCmau2xfxxL/XWpwS4cEfK9bmGvVZ8+0f8dCPqywtR6henL4BY/z6HPr6aekuvD3busEednJbH7Zw/LnpIKasNh9Ev/bHJhtLU3nYFYzF5rU7tsR1ny1fxSVKt9NwUXFJwOr3SFWmBxk3dbq2kpW76JGfVqFl/Rr44940XPfRYgs/OXRbDuSgXZPaQdeLlfxOgQYyFJbEzrF577crgq6z72gekutWj0JpvEKrisvND21QSVYlCDCJAmHNlsetX/yNLo9UnFz4gjf+QueHJ1seFLmxiW77oWMYOF6bbufaDxcaNvv4emtWWd+vYP0+3E4phQd/XGl7c9OuI8fR6eHfbd2GGafrpMrQc/c3y4OvRKZk5uTjeEFxhXk+fZkJPCLNFUfRV1RcEvSB9Ghe9Oe4peiwpGZLRM4C8DKABADvKaUm+C0/FcBLAHoCuFwp9Z0V27XS76v26r6+apc2HF8vX1NltCcrD9syc/HHegfnrbOZ78gg3yB66Y4jpX2WRg9sg1YNaka7aGE7mBOdmgEzfY2ChQHxHCac/NR0dGlWx3C5Uua+n/yiEsvzps2PsEnbV1EM1SRGS4eHgj9gBcuofyCECa/N+mz+NjSvZ26WBwpfxMGWiCQAeB3AcAA7ASwSkV+UUr7poLcDuAbAvZFujzShZv8NZfXKHlj+YTByb4XPha4yNe+SuwTqLP35gm2mjr2jxwtxyVvzLCwVcLnOlGNeizLMT82yYucRbDDZIdzL+E92XwuAk4psaD34alFkyZTJHCuaEfsB2KSU2qKUKgDwFYDzfVdQSmUopVYA4OOOn3BPHTOjgxgw6PMdien7FRnNqVXZRwhtj3Jw7TsMnsoLJddUNOeAMzvlFACc99pfyA5x9KJv0k+zvluiHyTkFRbH/JyzVPlY0YzYEoDvUb8TQH8LPrdSi3bqBz4f6jMzGtDssO1osyoE3OuyiZetlhvijd9JBcUlpsp7JITgxwn5YaRyCJVR/ya9vrdETrMi2NK7j4d1HxCRMQDGAEBycjLS09MjKJa1vphqbRbpTZu0juU7d9hXhbt8+XIU7UoAABQUmO/Ts2JF/HSIzi0oLj3ONm8tu4HNnz8fm2s6N37EzLE/a1bwdcxsZ/0h/VoAvTLs2bMX6en6oxO966/b5UwgcOzYMd0y/zp9NjZklv8bj2S5c763wmKFwuLgwdbVHyyMQmn06X3H/q/t3m3N9FsFBQWuug847a+l0ZnNorJy8liyItjaCaC1z++tAIR1piml3gHwDgCkpqaqtLS0iAsX0GTzUyF8vMbaDsgdOrQH1q9Fy1atgW32zEXVq1cvDO7YGACQ9Nd0IN9cE0XPnr2Axc5dzKOtTtte+HbxDnRoXxtYr41E7NuvP16ZsRHXD2kLTI7+fFtpaWlBj8+hQ9OAKZMi3k7NrYeAhRX7/5Sefz7laNG8OdLSelZ43Xf9g0t2AiujH7DXrFlT93vr378/ijcfBNaU5QKrV68ecDg2Ulq4jd537P9aixYtgB2RJ4VOSkoydS7Ei283uLtG0+1sjykCsCLYWgSgo4i0BbALwOUArrTgc8lCJSH0O3I6u320XfnufOQXleDeEZ1KX9tx+Bh+WLoLS2J87sdo2pN13LWjmtyYaqUys6qb48Gc/KjMD0hkt4jbSZRSRQBuBTAFwFoA3yilVovIEyJyHgCISF8R2QngEgBviwjrQqMsWqkBYlGg/iVOjcw00ynfqlxLRp8T6PNf18n4feMnziZpDQWDL2t5Z0UgIn2W5NlSSk0CMMnvtUd9fl4ErXmR/IQ7G7ydeCNy3keeyXkD0Qt4QvXT0l248+tlusvaPzgJCx8aprvs+SnrK7zmzUlH8efPTQedLgKRq3G6HoeEmicrmtbuic+b5n+nbij9+ZbP/nawJOYmCrdiP/22Yk/A5TsOlU+c+fXiHRjSqbHh+qt2ZeHeb50ZYLE5QEqJAr+pfNz4kBMrUp+aXuG1B36oOKcmEZXhdD1UwdM2T1cTC0LNExRPvFn29aSv108Y6zROg2Kdg6aymDOYJfLFYKsS49N77HJxxSfmbjbOTeZbO+iEiTo1dYsyDmH17iwHSkNEpGEzosPsTE7+zeKdeDN9c0hZqSl2RCNxZKzVUPz7i4rNv/d9t8KBksS3Sj7pAlHIGGw5JBrTSfy63JrEguROxws4JUm4GAzYK5RUM0TxgM2IDvHWNmWzLwnpKDGR1qGwxP6arUO5lTOJolunYKosvlm80+kiELkKgy2HzNpwAIDWn4TI31eLgk/jtHS7/VPO7Kuk8yay5oWIoonBFhEREZGNGGwRUdxhxRYRRRODLYcxPQM5qbA4GiMa3ed4FAaoEBF5MdgiimPevoNG+ChARBQ5BlsOMTPRMBEREcU+BlsOY8xFRERUuTHYckhG5jEAwM7Dx4OsSeQgPg0QEUWMwRYRERGRjRhsEREREdmIwRYRERGRjRhsEZEh9tgiIoocgy0iMvTr8t1OF4GIKOYx2CIiQ+v2ZDtdBCKimMdgi4gMZecXOV0EIqKYx2CLiIiIyEYMtoiIiIhsxGCLiIiIyEYMtoiIiIhsxGCLiIiIyEYMtoiIiIhsxGCLiIiIyEYMtoiIiIhsxGCLiIiIyEYMtoiIiIhsxGCLiIiIyEYMtoiIiIhsxGCLiIiIyEYMtoiIiIhsxGCLiIiIyEYMtoiIiIhsxGCLiIiIyEYMtoiIiIhsxGCLiIiIyEYMtoiIiIhsxGCLiIiIyEYMtoiIiIhsxGCLiIiIyEYMtoiIiIhsxGCLiIiIyEYMtoiIiIhsxGCLiIiIyEaWBFsicpaIrBeRTSIyVmd5NRH52rN8gYikWLFdIiIiIreLONgSkQQArwMYCaArgCtEpKvfatcDOKyU6gDgRQDPRrpdIiIiolhgRc1WPwCblFJblFIFAL4CcL7fOucD+Njz83cAhomIWLBtIiIiIldLtOAzWgLY4fP7TgD9jdZRShWJSBaARgAO+q4kImMAjAGA5ORkpKenW1A8IiIiindOxhRWBFt6NVQqjHWglHoHwDsAkJqaqtLS0iIuXECTJ9r7+UREROQKtscUAVjRjLgTQGuf31sB2G20jogkAqgH4JAF2yYiIiJyNSuCrUUAOopIWxFJAnA5gF/81vkFwNWeny8GMFMpVaFmi4iIiKiyibgZ0dMH61YAUwAkAPhAKbVaRJ4AsFgp9QuA9wF8KiKboNVoXR7pdomIiIhigRV9tqCUmgRgkt9rj/r8nAfgEiu2RURERBRLmEGeiIiIyEYMtoiIiIhsxGCLiIiIyEYMtoiIiIhsxGCLiIiIyEYMtoiIiIhsxGCLiIiIyEYMtoiIiIhsxGCLiIiIyEYMtoiIiIhsxGCLiIiIyEYMtoiIiIhsxGCLiIiIyEYMtoiIiIhsxGCLiIiIyEYMtoiIiIhsxGCLiIiIyEYMtoiIiIhsxGCLiIiIyEYMtoiIiIhsxGCLiIiIyEYMtoiIiIhsxGCLiIiIyEYMtoiIiIhsxGCLiIiIyEYMtoiIiIhsxGCLiIiIyEYMtoiIiIhsxGCLiIiIyEYMtoiIiIhsxGCLiIiIyEYMtoiIiIhsxGCLiIiIyEYMtsgyJzav63QRiIiirkfLek4XgVyOwRZZ5oKTWjhdBCKiqOvQtLbTRSCXY7BFREREZCMGW0REREH0PqG+00WgGMZgi4iIKIAVj4/AV2MGGC7vm9IQyx4djqv6nxDFUlEsYbBFRESVxrAuTdGkTjVLP7Nu9aqolpiA2tUSdZef1Lo+6tdMQmIVsXS7VHkw2CIiokrjlSt6Y+Ltg235bDGIpYxeJ/LSD9OJwlC/ZlWni2BKraQE5BYUO10MIrJBrWqJqGVQA0XkFNZsUcR++vcpGD2gDS45ubXTRTFFOV0AIopJRhVYrNmiYBhsUURG9WyOk1rXx5MXdEeVGOmv0LxedaeLQFTObad3cLoIPC+IbMRgyyJX9IuNWh2rdY3BrPEjuzd3uggUJ6pXLX+Jff3KPvj9jiEOlSaw326zp59TPBDDOi8iDYMti4y/sCeev7in08Wo4JKTWzldBNeJhSr/9HvTgq4z577T7C8IRSQpofwldlTP5q6d1qpRbWtH8BFRGQZbFnjjqj4AgIsZ2JBFUhrXCrpOqwY1olASIgomFh7gyFkMtiwwsnszAICI4Isb+ztcmvJO6dDY6SIQERHFtYiCLRFpKCLTRGSj5/8GButNFpEjIvJbJNtzm2cv6oGMCaMgPo81g9o3RsaEUQ6WqrwTm9fFeb3smyBaKY7tI4oUK0ZiG/cfBRNpzdZYADOUUh0BzPD8rud5AKMj3JbrnBsgiDmnp3WdsPVGCbHamois0q9tQ6eLQBSyf/RuiQtOMr4PXz2wTRRLE1ikwdb5AD72/PwxgAv0VlJKzQCQHeG2Yopbpm1o2aAGrujH+bqIyFh/BlsRET79Wsp/YImRHi3r4aXLe+su65xcB+PO725lsSISabCVrJTaAwCe/5tGXqTYUaNqQlS2E25L3SUnt0LtaokY2L6RtQXywVZEoth35xmdnC5CTDMbHJC1Yun2E3ROAxGZDqCZzqKHrC6MiIwBMAYAkpOTkZ6ebvUmLDVr1izDZfv25Vm2nfz8/IovmjjK9u7di/T0w5aVQ8/WjK1IT99l6zaslrFtm9NFCMrMse/284OAoqKicr8b7TOnj8k5s42vZbHGjvPC+5nFxUW6y+cvmI8tNatg5y6dazWFrEdjwZJ9wdfbtGkT0ov0z53c3JwKx4KT18ygwZZS6gyjZSKyT0SaK6X2iEhzAPsjKYxS6h0A7wBAamqqSktLi+Tjgps8MaK3Byrfj3uXAnt2R/T5XknVkgC/gEskeK1Ss2bNkJbWS/slwr/VSNuUtkhL61j2gk3bMaNNo5rYlnks6HqXDO2NXzcvDHs7dasn4mie/kXXKmlpaUG/y7S0NGDKJFvLQZFJTEwEfAKu0muG375NSUkBNm+MXsH8GJUrFtnxt3g/M3HWVKCwsMLygQMGoHXDmvgjaxWw3f0Pc2434cpTMPzF2QCAAe0aYv6WQ7rrtW/fHmlD2unu61q1aiMt7dRyy2yPKQKItO7zFwBXe36+GsDPEX4exZh2TWo7XYRS0+4aGnSdjvWr4NROTTDp9iF46599wtrOp9e7I70Hm3CpskppVNPpIlCU3DO8YhO2bxe4UK5zbu6fHGmwNQHAcBHZCGC453eISKqIvOddSUTmAPgWwDAR2SkiZ0a4Xdez8kYY7mc1i8JcZw1qVbV9G2YlJQY/nKsnamdx1xZ1cVaY0/bEU4zTsr4ziVPbmUjqapVHzulq22ez4zRRYLcN6xhwedsA1wL/e+P4C3tg8p3unA4romBLKZWplBqmlOro+f+Q5/XFSqkbfNYbopRqopSqoZRqpZSaEmnB40m4N/dB7ZnQNBgzwcToAaENH06uy2lPItUmijUbtatFZ6CLGS4ZxOw4BqnkFeqhUCtJ6x3Vrkn0HtjM4BCKKGpSx7qbMC9G1nh41IlB17lbp5o7kLrVy9f2XZYau5OUM2ltdIzomgwA+OXWwejSrE7Q9Rc+OAzPXtQjpG1wxJx9eDm2k/GXqzxVET/cMgjzHjgdANC6YU18fF0//PeSXlEpnVk8+2xi5S2K9zt30Usy6+vsHuWbJ581OUF5tFKJhKJ29aBjaGKeG86v7i3rIWPCKHRvWc/0ey7rG1r/lASDarNTOpSlhnntSv2cRURu5D13+5zQAM3rlbVSDO3UBLWquevaxWDLpAt7t3S6CBSGE5vXtfwzk+tWx/LHRuguW/7YCNwRpA+CVaLxNH3D4Hb2b4Qc9fkNA0p/Pqdni5hpyjyzW7LTRSgVSktDHZcFAW4XaLCEC56TTGOwZdJj53ULaf0aVSt+teFfw+w5pB4NsWPw7ad3sKUcdkpKsOfOUa+G/sCAejWqokqYdyvlt58DBfind2kalabkRJu+v2DO7KaX2q9MzST9WsBPrutX4bUvbxzgyLQdPVuZr6WKBv/jy8gNQ2IjwG7dIDZGLMZK8Bqqjk3DH4l+Uuv65X5Pvzet3O++1zb/cz2a/TmtFNfBVlrnJmG/97FzAwcqD42yb4STVf7p0/F79Tj9AaLT7z619Of6NZNsL5PdYulJyA2camK7rG/gfm5PGEzDcWqniud095Z10SHAjcHKvpRe9WpUxZc3Dgi+ogtZERv49w9r6vcdN64d+9cSX4G+s9/vOLXCa7/eOti+wkRBxoRR+PU283/Dub1alHtY939OTPEbcdiucS1ce0oKzuyWjEv9rgWdk8v6NLqhC4BZcR1sReLaU9oGXK5X8xHucaF3QFlxQfTtw+Hbvv3hNX11X49FwfrARLtja7O65ft7hTrS0auyd1wPVmsXym7T+6znfPrRtW5o/ZNyi/o1wj537Nq10TxkfL/y7i3rYsY95XPgvXpFH1wX5BrqRuFcLzrrDHjoYWGt58jugWuBjWrho6l5veq4e0Tn0t+DfY0igsfO7Ya3R6eiWqJxX1aztbVuwGCrErP6QDw/wOzqbjTp9iF49Nyu6JvSwOmilJr/4LDSn9s1roUnLyiroXFj/ORUM6Kv20/vgHtHdMKdZ5T1hdO7gRkJ9hfUr2n9zaiyB8PBXOozAvfJ87ujjt8I3WpVq+DGU/WDrfo1q+KeEWUjgId0LEthM6Bdw4gekJY+Mhyz/pOGf5jogzvlzoo1Ul7emjtvWZwcjfjmP08OuPynf58SpZJEX8MYam2J62ArVq6HThfTeyFpUDMJvVzWDyWQri3qolpiAnqfYBxstawfm+3/0ZLSyFyumka17Lvo3T2iM249vWO5yZKrmUhga1Z1F44CtUM0ryO+CYaNzr/m9WroJq9d9ugIDOmoNQd3Tq5TOmNDzaQEfDVmIB4cGTxdi5EGtZLQplEt9G/bMOi6oQT0VkltE/jB8Ja09lEqSeRG9TROGn3Rya0s2YZ/86ObxXWw5aRze2m1RIPalw27duMolfo1/G6ifo9wJ/g1wdR24d8QCPPjhO/P+08r/fmnf5+Cpy7Q70fltEj3sVNZ9C1nMtqyIigL5zsb3KFxaZNYvRpV8dJlJ+GT67UBD29e1QeTPX2fzvDkJLvAwRHidjVfBes/eHqXpiF9Xu8T6gdfyQZ/PzIcL112EsaO7KK7/Mp+J2D1uDOxyqCvcGXEYMsh3sSFvXxHZRjcFOxqkjBzD6rhNxLE9z29T6iPVn4jgpY9OjzyglksVuKpcPZyuH2+ItWkTrVy+75R7aSojr6LVi1NraQETL5ziGGOKiOxUmtuF+9D1zCD4EDv+/nshv7lmsQu6N0SyZ4+jiN7NMcJnlFobRvXCjknmZFRPcKbssufROkqY3RYbXx6JKbd5QlGT2yK5LrVsOnpkfju/wZFpVz+GtZKQtWEKqWVCWmegSs3DNaajkUEtaolxtzDeSTiOtiK9vXQytPRjhqZyz2jPpp6pptp3bDi06nvdvVOlMQ4ylLtmwzSKf+yOKWB2X55Tg9nDyWYEUhEJ0yd6lVx9cCUcq/5j67z5635YM2pe+ilC/G/hjUMsTncLUF11YQq6JhcBxkTRuG9q/tiwYNnIDGhSsgPCWaE0mWgZ6v6yJgwCoM6aP3uHj6nKzImjLK8TLEgfu6MMSxa5/NTF3THr7cORrcW9TD1rlNLq+19OXnvmHqXcYfVcEVyM/z0uv7lft/09MiQ3u+S63Q5L19uLoP45SFmL3eSFQGP24OmCRcGnrrnyfO7oZpO7j893rnlosJl3+sV/bQHzvYhzqtn1/FxXq/IByXVsnjuz3jp42i1uA62vEkjT27TAGecqJ+NONHCJ4Ng7e0D2+nXlNj19OR/gUhMqFI6JLlTch3doesD2ztXmxOsNsEUC79L/+SlEdfquTH6MuB/wQ3UjBIs39TQTk1CTjpqxxO7laJd43F5v8DB7+iBKbrH1/c3V2xmumloO9QySBprtSpRjGJ9t9SygVZr3zG5fP61pnW0ZsterSPv6/Td/w3EC5caz8/37EU98LPfSMGT/TrIv3JF4IefuWNPD1qOpnWq4ze/nFjdWtTVzcxeu1oiLuzD2VLsENfBlveG0ahWEt78Zx+sfLziFCyT7hiCNU9Y04kvWKdRO5IrWq2TT0K5mw1GxvhfMLzmPXC6YfPTTL88PLHimkEpln1WQXFJud8D3a+tupeH2uHWy+w9slWDGhjYvhGm362/fzs2rY03/9kH4wySlBoJtebBLnaMzg2W0BUA6oaTO8lvn/1222Ddc7V61QSsfuKs0D8/DBf10UalRXs6tCEdm+CHWwZVyPXVtE41/HbbYDzzj9Am+dY7HVJTGuLCPsaj7i7re0KFoM5Mp/9OPgFiC5MDEfz7t/33kl7lRox6JVQRPHtR4Llc3V7L61ZxHWz53rKqJlSpkAsG0PKp1LSxWt3ME/CgcGuTbHy6PrdXCwxq31h3md7TMoByE4Vufubscjmm2jUJPvVDVRf2B3vs3K7Y8szZ2Dr+bEe2H+mFr2qIebT6mBzd9J8ztQSGT3tuWkYZ3Dsm1y49v0IJoKycqkgvjcRwz4i3YBNxG9WIn9Mz/OYfMzdc74Pirad1qFA7YuSbmwaGXaZQBR+tpy33fvdhBY8R6nNCA92pXExxZQAAGrFJREFUtbq3rGfYVObt6O1NtOmdscB/IFE4Tu/SFI1rB3/g/mqMth8b2JAfLtYCKd9s8ka8teZmcqvZyX13LwcEOsCa1asedB0jgzvoByNmP69u9UQsf2wERuqMmBEI1jxxJj64JjX0gpWWwdkzq7lnpJHRiCVfv902GLWqJWL2f04Lum4ozFzcAvV1ERFUqSKWfJduSr6qp13jWnh7dCrSOjcpHUzh68TmdTGyezNMvnMI/n1aB2RMGIWhOtPn+PJtfpxxT1pE5XvAYJi5CDDEcy7q5XXSy1B9/1lasBhu/6UaSdZcWm8Y3BYfXJOKm9Pa4y2d5JX3ntnZdJPXic3rRq2JqG1jLbgONiWadwTrAIMuFKGyY+J5X89e3BNz7jutNLh65h/dMee+03Qf1MkefVO0HGnjBlVHAxOd9ced3x0ZE0bhxctOsrtoATHYCiKanQH1ngXr1ahqmPqhZlKiK2t7rPDcRT3L5XHyVoOf4NPP4P2rU7HuyciaO5L9ps/RY2fNpi8nJtYNtW9RkzrV8NG1/XTnyayaUAVv/vNkdGlm7w1PT8aEUbhpqH6ztkCQ4kkX0CdI0sjS9zj4IOJ7vj98Tlec3iUZ95/VBWcFmZYlVMGO/eb19JdfrJOQ0je7PwC0a1ILyx8dUW7+VT2pKQ2x/NERlvxttasCX40p6x+4wGe2BqtUS0woN71TUkIVU9M9PTzqRCQlVoEI8MDZ4SdldQPvqeHUSMwbhrTF7P+chjZ1Y6ujfuW8U5sU7YMl1qpovbq1sO7m6e3DIADaepqN9J5+ExOkQg4vf8NOTObImBj38DmxceOpb9DMZXRO167m7pqOx8/tGrSPaPp/0nRf/+8lFTt9+2b396pXs6qpoLWeRc1hretUKTcPoJkHqWi5YUg7bHhqJLaOH4Ur+1szkjfS25feoBa9vWU0cMspIlLuoTtWxE9GsQCilZDOSU3qVMOB7PwKr/922+CguWU+u74/Nu7P0e3fEKoJF/bAI+d0RZUqgvZNamPpI8MDzk338KgTK1ywP7muHyat3BNwO/cML7v43zS0PT6el4G8whLjN0TRAyO7YPzv6/CKyTQLANC4dhKUAjJzC2wsWfT59uOzS6gPOXrH401D26N+zap45OfV5V5vozOd0ZPndzPVyd1JtU00ewWaANiNovkw62R+LSv+zFDK79//Lh7ul3aI65otu1k1pUOg4dENTE7EafQJ3VvWCzqipX7NpNJ28kglJpR/+mxQK0n36dfbl+qGIe1w/eDyI4ZO7dQEE4KMmLltWFmzRsNaSXh7dPC+bV185kILe1CCCTcNbY+MCaNK02x4BTpaFj88HEsesT47v1HHdS8nOi47Ta85NymxipY+wY+3ZrWHz2iv0QNTHElNcYVB+gcnJpCvE2RggVuSgQJacO0d+GG2mblUHMQdbtpXsSyug61oHkNf3Ng/+ErQRgxNu+tUJFYRPDRKa2LR7fTpOcm9N8tgHUNjqQnzndEnl47yMeObmwZi4UPm+mfoBcDeXGoju5cNRPD2/9HLou8u5nZsG4Nq97uGdzI8Nr8eMwBtfTqUmx1m7jZ2HPreDtKJntGcRhNjR7Mf3niDxKZmE9UGEkrW74wJo4LWikVrponGtYM/jC57dAR+uOUUZEwY5aqmR69opgTSe/CN1n3S/6G6sonrYMsrGoGIUZoEf/3aNkTH5DrY9MzZuMxElu7qVROQMWEUvgqSODKWjOgWWmfZfm0bliYjNBLqLnZ7bBrq06be3zPx9sGe+cv0j83+nr4aH17TF/ed1RmvXRn5TdsJdnR2//S6/rjvrM5I69QEd53RCa9d2Ud3vQ+v7Yu3/qm/zOvHW5yZv85JRp3vI6G3l4d10U/NEQu8ub58U3aYGT1tN7vul2YS6YYyVZDbsM9WTAh+Z7Wqk2k8GtShMWZvOFAu4ao3v1JqG2uaT82wa8JxPY1qJaFbC3MJOU/r0hSnhZn81NfwrsmYtmZfxJ/jBic0qolb0joAAO7wG4nnq3Htajire+DJjnuf4O6UHxRdCx8chsSEKqV9ads2roVNT49ERmYu2jauhcOVrN9mKGK5RZPBlo387536VbT2HT6xfGBG01v/7IPdR/Iwdc3e0tca1UrClDtPNWx+izX+x54Vgx3Kf37wde4Y1tGRYMu3aN5+ea0CNIkGmhbq3X+loobBCNgPrklFQhU2FriJnddXq3kHZjTVacpMTKiCDk21Y9d77iYHqc0PxOh70T2N/e9jYW81iFjq6xKGuA62nB1RYv7AYgdFe9VMSkSHprUxdU351zs3C56dONZ0a1EXq3cfdWTbds2D9/boisk+jVx3Slv0a9sQPVsZJwLVS2Pg5c0sr+f0GG6yirZ6cTjwIpgnTE5ZVa9GVbx02UmOzlPrFLfPiRoIH8NQPqD2nULmjBMjbzqxgl6sFWuH3H2ejNyBXD2wDT6+rl8USuNO4cTUvsdu95Z1McIgGLjIkzn88fO6hbEVZ6R1boLzepUfSde9Zd0K89mdGaSPn+93VKWKBAy0AKBqYqydXbHHqvx4RvOz6nn03K6WbNMutauZr/u4oHfLqHXm9++gf+Op7QBAd27FSAQ6624cop3zFwWYa9Lt4rpmS8/oAW3wyE+rAADvXd3X4dJYx6nasbvO6IRrTkkx9SQb6mTEVvNN/RDtXDJWjDj67bYhAICUsRMrLOvTpgEyJozC/qN5EW8nWj66tmLg7f0bQ+H0tFRkn/vP6oI30zcbLvde9569qIepAUfx6LpT2qJZvWp4ZtI63Za8oZ2bYKJPXsOr+muzAvjXMp3WuQn+WH8g7HIEOk29SYKTQpzL1U3iumbLGwA0qxt8SHtiGNWXVgU4sdyMeMcZHV3RZOAdql8nyXg/pnVqiotPboVrBqVYnvLhh1sGYZZBRu4vbuiPibcNtnR7/piIkCq7QMc4j39jl/ZthX/0Nq4xatWgRtCpj+4e3glvhdCcr6d/20al26uM4rpm65QOjXBLr2q4Y2TwJq6aSYn48Jq+uPajRVEoGYXr6zEDdKu3U9s0wNP/6I6G2VsM31uliuhORWKFPgFGnA3yTJIcy0E1UTy5fnBbPDt5HerG6ATUNaomoGWDGli/LxvVExNQ1VNjZDRFWrAmy0a1kyKeccBbU2ZHWhA3iOtgS0TQr3mi6YPEiuHv4dCrGYrHzpFm9DeYx0tEcFX/NkhP3xrlEoUvUELGaCY6tApb8+Jb49pJOJgT3bQFdj2/3JzWPqT+Ym6TlFgFL152Ev7ceBApnsTFb48+GaltGlQcRR+lWsEeLeuhW4u6eGhUxb51l/VtjV9X7MblBrMkxIK4DrairV/bwDmbBnfQTy7ZrF51TL5zCM56aU7pa29eFVmVbbiaeZ5wOjQJPM0LRe6eEZ3x7hz94HBciB3dGeiQ02bfdxqOHi9CzWo2zbkY6Bjn8V9BvRpVMapnWQ4470CTgiJn5pCtkZSAibfr98lsVq86pt89NMolshaDLRv55zLp6plSp6ZfptzkutWw72h+wKamLs3KT8dTw0S23UDNUg3CTILav10jfPt/AwOWFQBm3jMUtUIYXUNA35QG+GX57tLfA43Y8n63RtPE+OO9JnZYPcrLSlUj6KBcMykRNZOie01g03x0sE9ccLwbxqlImqHMTErdjjVfIRvgaQINNjm0ryTPHHOxPI2FG/RNaYBFGYcBAHWqV0VeYbFjZaljQT+gjk1rY+P+HAtKU2bi7YMDThcz5c5TS2decBuGAvZKqSTJn+3k3keoeBGlJy9vp8MulTBRZzR0bxl4om+n6WWEHz2gjQMliU0fXNMXP/37FPxy6yloGYUJt9M6axOtD3OoH2g4urWoF7CjdOdmdaLy3RlhQBV9vVprOevMtLTEOwZbDrGjD81JngP/lA4VO4l7q+9vH6bN4xbLyeGcpPfd6nnjqsCTDweSYNHB4VvLYFeuqbN7NEO7JrVMN2e6VZ3qVXFS6/pBE55apVsLLXjvfYI922vAmk4AsTVdj928x1wwIX1nbKc1LbavkDHGO11JHb+qdm+zQaQzEfxw8yBseebsgOvUr1EVm585G2M8WYDJHG8empcv721q/bN7BJ58WE+HprVx45C2eOdfzgx+CMcbV52MmfekMXGoSzx3cU8AwKfXawlhH3N51vRo4fGJ0lGHoTLz1fH7Dc6dDeyVhH/QXyMpAU+c3w1DOzXB76vKJj3++Lp+mLxqr+4EpKEwO7lwLM8v5ZTrTknBvwa2QdUE+55PRER32HMg9WsmoUbVBDx09okVPy/E9e3mvR53Tq6D9fuyo779eHBpamtcmtoaAJAxYZTDpYkuN13Vkuua7xN72+kdsOPQMRtLo3n2op6YuGJP8BXJFgy2ouxfA1MqvNayfg1cP7htxZUNhNKBmqwhIiGPxFrx+AjbbwBJiVWw9smzgq7nDXTMrk9UKTjUynXzUPM5uO4ZETypthVqV0tEy/o1sOvIccs+s3OzOli+Mwt1XTowwk34DcWglEbhVQdTdDmdXfr/0trjjQDzxgXi5vQDRKFyU62X2xl1w/rz/tOQV1g+B9cT53fHRX1acfS5CQy2KqEeLevjr02ZaFynrJNsj1b1MG9LJhrHYOZxCk8owd6vtw4uHVH0zU0DHZuf7IGRXdDe5IV7/IU9bOuY7+1faWezMVlMJ6Ji923r6E3lU71qguGsHVQegy0b9W/bEAu2HrLs825Ja49JK/fgyQsCZw+/d0QnnNOzeblEqPed2Rnn9WqBTslM/RCPgj3Z92hVr/TnYDMd2OmmEJpfrggydUev1vWxfMcRw+XPX9wTzevpB5UpjWri9tM74BJP/ycr+E5u3q6xFlC2YS11VLD/NjmNwZaNki2eUPO+s7rgvrO6BF0vMaEKuresF/Q1ospo4YPDoKBl2f9t+mzD9QIFUiKCuy3sSzPjnqFoXKusVvnCPi3Rrkmt0nQt0XJqxyb44e9dIeXbi5X+OG6og2zkSfpaL8wZOqjyio2zqBI6oaFWJcsnW4oGN4xAbeK5EZ3doznW78s2nAs0Ur6jepvVcsMtGBWaRkUEvYNMeWWHC3q3xGmdm5oOBtY+cZbra4WGdmqCWRsO4OTkiok1VYR5oGbcMxT7svJMr39zWns0q1sd5/dqGdF23cTluz9mMNjSccFJLfDTst3BV4zAyO7N8PWYAY422VDl165xLWw5mOuKDu+NalfDysdHoFZSIm48tS37QwVR36bakVBqXWIhM3hDTwLXQM8T4QaM7ZvUNt2HEND6+F3a17qmZ6o8GGzpeOny3njJZPLKcIkIOxaS7bxBllsmivUm8I32hMSxZvyFPTBQ5/rw7r9Sw55EvrIKdGQz2Sa5Ba94REQuY9T5f3jX5CiXxP0eGnUiqlWtgn71M3WXVa+aENaMDkRWYj0+ERHFrEa1q2H8hT1RVacdsXHtap4UIe5vDo2GM07UJj6vU824dtQN/TsrIwZbRHGArSlE9Mg5XbHwwWEB++1VTaiChQ8Ni/pI2couomBLRBqKyDQR2ej5v8LwGhE5SUTmichqEVkhIpdFss1Y5H2aICIickpiQhVTc/A2rVO9dHoy9nuzRqQ1W2MBzFBKdQQww/O7v2MA/qWU6gbgLAAviUjMhsxNQ8jA7h3FMuxE9rMgIiKKV5F2kD8fQJrn548BpAO433cFpdQGn593i8h+AE0AGKd2drHp9wzF8YJiU+sOaNcI0+8eivZNmEuLnBFhmiEiIrJApMFWslJqDwAopfaISMD2MhHpByAJgO7suCIyBsAYAEhOTkZ6enqExQsuJycnrO2sDWHdnSF/Otkl3P3tNP8ym/kb0tPTkZt7DACwePFi7KsTf100Y3V/xxo3fMfc19bKyjoOAFi6dCmObQttgIGb791OCRpsich0AM10Fj0UyoZEpDmATwFcrZQq0VtHKfUOgHcAIDU1VaWlpYWyibCkp6cjGtshd4i5/T15IgCUldn/9yDvqbV0NpCTjb59U8vNlRkvYm5/xwrPMeblhu+Y+9par6+bCxw+jN69e5tPvm3m+mSRWNvfQYMtpdQZRstEZJ+INPfUajUHsN9gvboAJgJ4WCk1P+zSElFIFNiOSEShYxcEa0XarvALgKs9P18N4Gf/FUQkCcCPAD5RSn0b4faIKAxuySBPlcMV/cqmpBl/YQ8HS0J242BEa0QabE0AMFxENgIY7vkdIpIqIu951rkUwKkArhGRZZ5/J0W4XSIicsj4C3uW/myU7Z6IykTUQV4plQlgmM7riwHc4Pn5MwCfRbIdIgpPs3o1sGFfDqq5YCJqIqJ4xbkRiSqZ3+8Ygpz8IgDAq5f3xqyNB5DSmOlHiIicwmCLqJI5sXnZqMN6NavivF4tHCwNERGxbYHIxapX5SlKRBTrWLNF5GJ/PzIcJT5DsFePO9O5whBR3GDmB2sx2CJysZpJ5U/RWtV4yhJR9DDzgzXYRkFERERkIwZbRERERDZisEVERERkIwZbRERERDZisEVERETlKM5EbSkGW0RERKSLE1Fbg8EWERERkY0YbBERERHZiMEWERERkY0YbBEREVHEujSrg8a1k5wuhitx7g8i+v/27jZWy7oO4Pj3N048COkBKwQP42ExF20NkRVouRAVtQd64RZbG1RzrnqTtWo4XtWraq6ay+UarmFPRyNnzGaOyPUqKSgVDZGTpJKElELSC63168X1B2/Yfc4Bbq5zP30/27Vz/R/u+/qz3/2/9uP+X9d9SdIppgxMAiDO4gr5X912dV3D6XomW5Ik6RTf/vhSfvTY8ywdGmz3UHqCyZYkSTrFJRdN5UtrLmv3MHqG12xJkiTVyGRLkiSpRiZbkiRJNTLZkiRJqpHJliRJUo1MtiRJkmpksiVJklQjky1JkqQamWxJkiTVyGRLkiSpRiZbkiRJNTLZkiRJqpHJliRJUo1MtiRJkmpksiVJklQjky1JkqQamWxJkiTVyGRLkiSpRgPtHoAkqft8be27mX/x9HYPQ+oKJluSpLO2fuWCdg9B6houI0qSJNXIZEuSJKlGJluSJEk1MtmSJEmqkcmWJElSjUy2JEmSamSyJUmSVCOTLUmSpBqZbEmSJNWopWQrImZFxPaI2F/+zmzSZ35E7I6IxyPi6Yj4TCvHlCRJ6iatfrO1EdiRmYuBHaV8ukPAlZm5FHgfsDEi5rZ4XEmSpK7QarK1FthS9rcAHzu9Q2a+kZmvl+KU83BMSZKkrhGZee4vjjiamYMN5Vczs9lS4jzgl8A7gS9n5l2jvN+twK0As2fPvmJ4ePicx3amjh8/zowZM2o/jjqD8e4vxrt/GOv+0onxXrVq1e7MXN6sbdxkKyJ+DVzSpGkTsOVMkq2G9rnAg8BHMvPwOMc9Ajw/5uDOj7cB/5iA46gzGO/+Yrz7h7HuL50Y7/mZ+fZmDQPjvTIzrx2tLSIOR8SczDwUEXOAl8d5r5ci4mngA8DWcfo2HfD5FhG7RstE1XuMd38x3v3DWPeXbot3q9dPbQM2lP0NwC9O7xARQxExrezPBK4C9rV4XEmSpK7QarL1deC6iNgPXFfKRMTyiNhc+rwL2BkRTwC/Be7IzD0tHleSJKkrjLuMOJbM/Cewukn9LuCWsr8deE8rx6nZ99s9AE0o491fjHf/MNb9pavi3dLdiJIkSRqbv3klSZJUo75NtiLihojYFxEjEdHsl+/VoSJiXkQ8GhF7yyOgPl/qmz4+Kip3llg/GRHLGt5rQ+m/PyI2NNRfERF7ymvujIiY+H+pToiISRHxp4h4qJQXRsTOErf7ImJyqZ9SyiOlfUHDe9xe6vdFxJqGes8FHSQiBiNia0Q8U+b4Sud274qIL5Tz+FMR8dOImNqT8zsz+24DJgF/ARYBk4EngCXtHpfbGcdvDrCs7L8VeBZYAnwT2FjqNwLfKPs3AQ8DAawAdpb6WcBz5e/Msj+ztP0eWFle8zBwY7v/3f28AV8EfgI8VMr3A+vK/t3AZ8v+54C7y/464L6yv6TM8ynAwjL/J3ku6LyN6mkkt5T9ycCgc7s3N+BS4AAwrZTvBz7Zi/O7X7/Zei8wkpnPZeYbwDDVo4fUBTLzUGb+sey/BuylmrSjPT5qLXBvVh4DBsvvwq0BtmfmK5n5KrAduKG0XZiZv8tqJt9Lk0dRaWJExBDwIWBzKQdwDW/+Vt/psT7xGdgKrC791wLDmfl6Zh4ARqjOA54LOkhEXAhcDdwDJx/3dhTndi8bAKZFxABwAdXzlHtufvdrsnUp8GJD+WCpU5cpXyNfDuwEZmfmIagSMuAdpdto8R6r/mCTerXHd4CvAP8r5YuBo5n531JujM/JmJb2Y6X/2X4G1B6LgCPAD8qy8eaImI5zuydl5t+AO4AXqJKsY8BuenB+92uy1WyN3tsyu0xEzAB+DtyWmf8aq2uTujyHek2wiPgw8HJm7m6sbtI1x2kz1t1hAFgGfC8zLwf+TbVsOBrj3cXKtXdrqZb+5gLTgRubdO36+d2vydZBYF5DeQh4qU1j0TmIiLdQJVo/zswHSvXhskxAnPr4qNHiPVb9UJN6TbyrgI9GxF+plgCuofqma7AsO8Cp8TkZ09J+EfAKZ/8ZUHscBA5m5s5S3kqVfDm3e9O1wIHMPJKZ/wEeAK6kB+d3vyZbfwAWlzseJlNdaLetzWPSGSpr9PcAezPzWw1Noz0+ahuwvty5tAI4VpYiHgGuj4iZ5X9Y1wOPlLbXImJFOdZ6mjyKSvXLzNszcygzF1DN099k5ieAR4GbS7fTY33iM3Bz6Z+lfl25m2khsJjqQmnPBR0kM/8OvBgRl5Wq1cCfcW73qheAFRFxQYnHiXj33vxux1X5nbBR3cXyLNWdCpvaPR63s4rd+6m+Cn4SeLxsN1Gt3e8A9pe/s0r/AO4qsd4DLG94r09TXUw5AnyqoX458FR5zXcpPwDs1ta4f5A370ZcRHUyHQF+Bkwp9VNLeaS0L2p4/aYSz3003IHmuaCzNmApsKvM7wep7iZ0bvfoBnwVeKbE5IdUdxT23Pz2F+QlSZJq1K/LiJIkSRPCZEuSJKlGJluSJEk1MtmSJEmqkcmWJElSjUy2JEmSamSyJUmSVCOTLUmSpBr9H9viHeAaO9VFAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fs=32000    # sampling frequency\n",
    "N=1024      # number of subbands\n",
    "f=np.linspace(0,fs/2,N)\n",
    "LTQ=np.clip((3.64*(f/1000.)**-0.8 -6.5*np.exp(-0.6*(f/1000.- 3.3)**2.)+1e-3*((f/1000.)**4.)),-20,60)\n",
    "#LTQ=(3.64*(f/1000.)**-0.8 -6.5*np.exp(-0.6*(f/1000.- 3.3)**2.)+1e-3*((f/1000.)**4.))\n",
    "#LTQ/=np.abs(LTQ).max()\n",
    "#Shift dB according to our internal representation:\n",
    "LTQ=LTQ-60\n",
    "#Play back noise shaped like the masking theshold in quoet:\n",
    "#Normalize\n",
    "noise, fs = noisefromdBSpectrum(LTQ,fs)\n",
    "\n",
    "noise/=np.abs(noise).max()\n",
    "import IPython.display as ipd\n",
    "display(ipd.Audio(noise,rate=fs))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "**Observe:** White noise (flat spectrum) is clearly audible\n",
    "Noise shaped according to our threshold approximation should be inaudible! Apart from the clicks that are artifacts by the blocks generating the audio."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hide_input": false,
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## The Complete Psycho-Acoustic Model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "scrolled": false,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    " - Now our complete psycho-acoustic model for the computation of our masking threshold is:\n",
    " "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "hide_input": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<iframe width=\"560\" height=\"315\" src=\"https://www.youtube.com/embed/Fd4dWeog1iU?rel=0\" frameborder=\"0\" allow=\"accelerometer; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen></iframe>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
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     },
     "metadata": {},
     "output_type": "display_data"
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   ],
   "source": [
    "%%html\n",
    "<iframe width=\"560\" height=\"315\" src=\"https://www.youtube.com/embed/Fd4dWeog1iU?rel=0\" frameborder=\"0\" allow=\"accelerometer; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen></iframe>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "def maskingThreshold(mX, W, W_inv,fs,spreadingfuncmatrix,alpha,nfft):\n",
    "    #Input: magnitude spectrum of a DFT of size 2048\n",
    "    #Returns: masking threshold (as voltage) for its first 1025 subbands\n",
    "    #Map magnitude spectrum to 1/3 Bark bands:\n",
    "    mXbark=mapping2bark(mX,W, nfft)\n",
    "    #Compute the masking threshold in the Bark domain:\n",
    "    mTbark=maskingThresholdBark(mXbark,spreadingfuncmatrix,alpha)\n",
    "    #Map back from the Bark domain,\n",
    "    #Result is the masking threshold in the linear domain:\n",
    "    mT=mappingfrombark(mTbark,W_inv,nfft)\n",
    "    #Threshold in quiet:\n",
    "    f=np.linspace(0,fs/2,1025)\n",
    "    LTQ=np.clip((3.64*(f/1000.)**-0.8 -6.5*np.exp(-0.6*(f/1000.-3.3)**2.)+1e-3*((f/1000.)**4.)),-20,80)\n",
    "    mT=np.max((mT, 10.0**((LTQ-60)/20)),0)\n",
    "    return"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hide_input": false,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "This example is an idealized tone in one subband, and its resulting masking threshold, which is mostly its spreading function:\n",
    "\n",
    " <center>\n",
    "    <br>\n",
    "    <img src='./images/ac_05_01_ltq.png' width='600'>\n",
    "</center>  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "#Programs to implement a psycho-acoustic model\n",
    "#Using a matrix for the spreading function (faster)\n",
    "#Gerald Schuller, Nov. 2016\n",
    "\n",
    "# Ported to Jupyter Notebook by Renato Profeta, October 2020"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "hide_input": false,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "def f_SP_dB(maxfreq,nfilts):\n",
    "    #usage: spreadingfunctionmatdB=f_SP_dB(maxfreq,nfilts)\n",
    "    #computes the spreading function protoype, in the Bark scale.\n",
    "    #Arguments: maxfreq: half the sampling freqency\n",
    "    #nfilts: Number of subbands in the Bark domain, for instance 64   \n",
    "    \n",
    "    maxbark=hz2bark(maxfreq) #upper end of our Bark scale:22 Bark at 16 kHz\n",
    "    \n",
    "    #Number of our Bark scale bands over this range: nfilts=64\n",
    "    spreadingfunctionBarkdB=np.zeros(2*nfilts)\n",
    "   \n",
    "    #Spreading function prototype, \"nfilts\" bands for lower slope \n",
    "    spreadingfunctionBarkdB[0:nfilts]=np.linspace(-maxbark*27,-8,nfilts)-23.5\n",
    "   \n",
    "    #\"nfilts\" bands for upper slope:\n",
    "    spreadingfunctionBarkdB[nfilts:2*nfilts]=np.linspace(0,-maxbark*12.0,nfilts)-23.5\n",
    "    return spreadingfunctionBarkdB"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "def spreadingfunctionmat(spreadingfunctionBarkdB,alpha,nfilts):\n",
    "    #Turns the spreading prototype function into a matrix of shifted versions.\n",
    "    #Convert from dB to \"voltage\" and include alpha exponent\n",
    "    #nfilts: Number of subbands in the Bark domain, for instance 64  \n",
    "    spreadingfunctionBarkVoltage=10.0**(spreadingfunctionBarkdB/20.0*alpha)\n",
    "    \n",
    "    #Spreading functions for all bark scale bands in a matrix:\n",
    "    spreadingfuncmatrix=np.zeros((nfilts,nfilts))\n",
    "    \n",
    "    for k in range(nfilts):\n",
    "        spreadingfuncmatrix[k,:]=spreadingfunctionBarkVoltage[(nfilts-k):(2*nfilts-k)]\n",
    "    \n",
    "    return spreadingfuncmatrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "def maskingThresholdBark(mXbark,spreadingfuncmatrix,alpha,fs,nfilts): \n",
    "    #Computes the masking threshold on the Bark scale with non-linear superposition\n",
    "    #usage: mTbark=maskingThresholdBark(mXbark,spreadingfuncmatrix,alpha)\n",
    "    #Arg: mXbark: magnitude of FFT spectrum, on the Bark scale\n",
    "    #spreadingfuncmatrix: spreading function matrix from function spreadingfunctionmat\n",
    "    #alpha: exponent for non-linear superposition (eg. 0.6), \n",
    "    #fs: sampling freq., nfilts: number of Bark subbands\n",
    "    #nfilts: Number of subbands in the Bark domain, for instance 64  \n",
    "    #Returns: mTbark: the resulting Masking Threshold on the Bark scale \n",
    "  \n",
    "    #Compute the non-linear superposition:\n",
    "    mTbark=np.dot(mXbark**alpha, spreadingfuncmatrix**alpha)\n",
    "  \n",
    "    #apply the inverse exponent to the result:\n",
    "    mTbark=mTbark**(1.0/alpha)\n",
    "  \n",
    "    #Threshold in quiet:\n",
    "    maxfreq=fs/2.0\n",
    "    maxbark=hz2bark(maxfreq)\n",
    "    step_bark = maxbark/(nfilts-1)\n",
    "    barks=np.arange(0,nfilts)*step_bark\n",
    "  \n",
    "    #convert the bark subband frequencies to Hz:\n",
    "    f=bark2hz(barks)+1e-6\n",
    "    #Threshold of quiet in the Bark subbands in dB:\n",
    "    LTQ=np.clip((3.64*(f/1000.)**-0.8 -6.5*np.exp(-0.6*(f/1000.-3.3)**2.)+1e-3*((f/1000.)**4.)),-20,160)\n",
    "    #Maximum of spreading functions and hearing threshold in quiet:\n",
    "    mTbark=np.max((mTbark, 10.0**((LTQ-60)/20)),0)\n",
    "    return mTbark"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "hide_input": false,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "def hz2bark(f):\n",
    "    \"\"\" Usage: Bark=hz2bark(f)\n",
    "    f    : (ndarray)    Array containing frequencies in Hz.\n",
    "    Returns  :\n",
    "    Brk  : (ndarray)    Array containing Bark scaled values.\n",
    "    \"\"\"\n",
    "    Brk = 6. * np.arcsinh(f/600.)                                                 \n",
    "    return Brk"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "def bark2hz(Brk):\n",
    "    \"\"\" Usage:\n",
    "    Hz=bark2hs(Brk)\n",
    "    Args     :\n",
    "        Brk  : (ndarray)    Array containing Bark scaled values.\n",
    "    Returns  :\n",
    "        Fhz  : (ndarray)    Array containing frequencies in Hz.\n",
    "    \"\"\"\n",
    "        \n",
    "    Fhz = 600. * np.sinh(Brk/6.)\n",
    "    return Fhz"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "def mapping2barkmat(fs, nfilts,nfft):\n",
    "    #Constructing matrix W which has 1’s for each Bark subband, and 0’s else:\n",
    "    #nfft=2048; nfilts=64;\n",
    "    nfreqs=nfft/2\n",
    "    maxbark=hz2bark(fs/2) #upper end of our Bark scale:22 Bark at 16 kHz\n",
    "    nfreqs=nfft/2\n",
    "    step_barks = maxbark/(nfilts-1)\n",
    "    #the linspace produces an array with the fft band edges:\n",
    "    binbarks = hz2bark(np.linspace(0,(nfft//2),(nfft//2)+1)*fs//nfft)\n",
    "    W = np.zeros((nfilts, nfft))\n",
    "    for i in range(nfilts):\n",
    "        W[i,0:(nfft//2)+1] = (np.round(binbarks/step_barks)== i)\n",
    "    return W"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "hide_input": false
   },
   "outputs": [],
   "source": [
    "def mapping2bark(mX,W,nfft):\n",
    "    #Maps (warps) magnitude spectrum vector mX from DFT to the Bark scale\n",
    "    #arguments: mX: magnitude spectrum from fft\n",
    "    #W: mapping matrix from function mapping2barkmat\n",
    "    #nfft: : number of subbands in fft\n",
    "    #returns: mXbark, magnitude mapped to the Bark scale\n",
    "    \n",
    "    nfreqs=int(nfft/2)\n",
    "    \n",
    "    #Here is the actual mapping, suming up powers and conv. back to Voltages:\n",
    "    mXbark = (np.dot( np.abs(mX[:nfreqs])**2.0, W[:, :nfreqs].T))**(0.5)\n",
    "    \n",
    "    return mXbark"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "def mappingfrombarkmat(W,nfft):\n",
    "    #Constructing inverse mapping matrix W_inv from matrix W for mapping back from bark scale\n",
    "    #usuage: W_inv=mappingfrombarkmat(Wnfft)\n",
    "    #argument: W: mapping matrix from function mapping2barkmat\n",
    "    #nfft: : number of subbands in fft\n",
    "    nfreqs=int(nfft/2)\n",
    "    W_inv= np.dot(np.diag((1.0/np.sum(W,1))**0.5), W[:,0:nfreqs + 1]).T\n",
    "    return W_inv"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "def mappingfrombark(mTbark,W_inv,nfft):\n",
    "    #usage: mT=mappingfrombark(mTbark,W_inv,nfft)\n",
    "    #Maps (warps) magnitude spectrum vector mTbark in the Bark scale\n",
    "    # back to the linear scale\n",
    "    #arguments:\n",
    "    #mTbark: masking threshold in the Bark domain\n",
    "    #W_inv : inverse mapping matrix W_inv from matrix W for mapping back from bark scale\n",
    "    #nfft: : number of subbands in fft\n",
    "    #returns: mT, masking threshold in the linear scale\n",
    "  \n",
    "    nfreqs=int(nfft/2)\n",
    "    mT = np.dot(mTbark, W_inv[:, :nfreqs].T)\n",
    "    return mT"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "**Testing**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "hide_input": false,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "fs=32000  # sampling frequency of audio signal\n",
    "maxfreq=fs/2\n",
    "alpha=0.8  #Exponent for non-linear superposition of spreading functions\n",
    "nfilts=64  #number of subbands in the bark domain\n",
    "nfft=2048  #number of fft subbands"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "W=mapping2barkmat(fs,nfilts,nfft)\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.imshow(W[:,:256],cmap='Blues')\n",
    "plt.title('Matrix W for Uniform to Bark Mapping as Image')\n",
    "plt.xlabel('Uniform Subbands')\n",
    "plt.ylabel('Bark Subbands')\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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+Cs0GFwfjACfpjZI2agwD7wF+C9wATEiTTQCur6dCs8HHu9ID3xbAdZKgeL+uiIifSZoNXC3pJOBh4KgaazQbVByMA1xEPAjs3KT9KeCgNV+R2eDnXWkzs4yD0Soxp/NgDv3W/3Lot/637lLMVpuD0cws42A0M8s4GM3MMg5GM7OMg9HMLONgtMrcdOq+3HTqvr5xrbU9B6OZWcbBaGaWcTCamWUcjGZmGQejVa7x8UCzduVgNDPLOBjNzDIORjOzjIPRzCzjYDQzyzgYrV/cdOq+PjNtbcvBaGaWcTCamWUcjGZmGQejmVnGwWhmlnEwmpllHIzWb246dV8+MmUuH5kyt+5SzHrFwWhmlnEwmpllHIxmZhkHo5lZxsFoZpZxMJqZZRyM1q+umLA7V0zY3ZfsWFtxMJqZZRyMZmYZB6OZWcbBaGaWcTCamWUcjGZmGQejmVnGwWhrhK9ltHbiYDQzyzgYzcwyDkYzs4yD0cws42A0M8s4GM3MMg5GM7OMg7Fikk6X9CYVLpZ0p6T31F3XQNC4ltHXM9pA52Cs3okR8SzwHmAEcAJwfr0lmVlvOBirp/R4GPD9iLin1GZmbcDBWL25kn5BEYw/l7QR8HrNNZlZL6xTdwGD0EnALsCDEfGCpM0odqfNrE04GCsiabesaXvJe9Bm7cjBWJ0L0uMwYHdgHsWxxZ2A24H9u5tZ0iXAEcDjEfH21LYp8ENgNLAIODoinlaRuN+g2F1/ATg+Iu6seH3MhiwfY6xIRBwYEQcCi4HdI2KPiNgd2BVY2MIiLgXem7V9Grg5IsYAN6fnAIcCY9LPRGDS6q/BmtH4OtWTfzSv7lLMuuRgrN5bI+LexpOI+C3FMcduRcQM4E9Z85HAlDQ8BfhAqX1qFH4DbCxpy9Wu3MwA70r3hwWSLgJ+AATwUWBBH5e1RUQsA4iIZZI2T+1bA4+UpluS2pb18XXMrMTBWL0TgJOB09PzGVS/q9vsrE40nVCaSLG7zYgRI5g1c3rFpfTNO9d/kVkz8w5y/1qxYsWAWX8b2ByMFYuIl4CvpZ/V9ZikLVNvcUvg8dS+BBhZmm4bYGkX9UwGJgN0dHTEuP3HV1DW6pv6o3lM2n+nNfqas2ZOZ6Csvw1sPsZYMUn7SZom6feSHmz89HFxNwAT0vAE4PpS+3Hp89j7AMsbu9xmtvrcY6zexcC/AHOB11qdSdKVwHhguKQlwOcoPmN9taSTgIeBo9LkP6W4VGchxeU6voDcrEIOxuotj4ibejtTRBzbxaiDmkwbwKm9fQ0za42DsXq3SvoycC3wcqPRF2CbtQ8HY/X2To97lNoCeFcNtQxYk47aiZN/NI9JR63ZEzBmrXAwVix9+sXM2piDsR9IOhzYkeJz0wBExOfrq8jMesOX61RM0neADwP/THEh9lHAqFqLMrNecTBWb9+IOA54OiLOAcax8sXYZjbAORir92J6fEHSVsArwHY11mNmveRjjNW7UdLGwJeBOynOSH+v3pLMrDccjBWLiHPT4DWSbgSGRcTyOmsys95xMFZM0jDgFIo7dgcwU9KkdHMJM2sDPsZYvakUl+r8F3Ah8DbgslorGqAmHbUTZ97wu7rLMFuFe4zV64iInUvPb5V0T23VmFmvucdYvbvSrcAAkLQ3cFuN9ZhZL7nHWBFJ91IcU1yX4l6JD6dR2wLeXzRrIw7G6hxRdwFmVg0HY0UiYnFjWNJu/PWs9G2+5ZhZe/ExxopJOpviq043A4YD35f02XqrMrPecI+xescCuzauW5R0PsUnYP6j1qrMrGXuMVZvEaXbjQHrA3+opxQz6wv3GCsi6b8ojim+DMyXNC09PxiYWWdtZtY7DsbqzEmPc4HrSu3T13wpZrY6HIwViYgpddfQji54/9i/fCzwgvePrbkas4KDsWKSHqLYhV5JRGxfQzlm1gcOxuqVvx1wGMVXG2xaUy1m1gc+K12xiHiq9PNoRHwdf3WqWVtxj7Fi6VMvDWtR9CA3qqkcM+sDB2P1LigNv0pxXePR9ZRiZn3hYKxYRBxYdw1mtnp8jLEikt4naVTp+dmS7pF0gyR/S6BZG3EwVuc84AkASUcAHwVOBG4AvlNjXWbWSw7G6kREvJCGPwRcHBFzI+IiYESNdZlZLzkYqyNJG0paCzgIuLk0blgX8xjFJ14ueP9YOn9+f92lmAE++VKlrwN3A88CCyJiDoCkXYFldRZmZr3jYKxIRFwi6efA5kD5WwH/CJxQT1Vm1hcOxgpFxKPAo1mbe4tmbcbHGM3MMg5GM7OMd6X7gaRNgJGUtq+/KdCsfTgYKybpXOB4iu95adyXMfAddszahoOxekcDO0TEn+suxMz6xscYq/dbYOO6izCzvnOPsXpfBO6S9FuKbwwEICLeX19JZtYbDsbqTQG+BNwLvF5zLW2l85AOOn9+P52HdNRdig1xDsbqPRkR36y7CDPrOwdj9eZK+iLF7cbKu9K+XMesTTgYq7dretyn1ObLdczaiIOxQumWY5Mi4uq6azGzvvPlOhWKiNeB0+quw8xWj4OxetMkfVLSSEmbNn7qLsrMWudd6eqdmB5PLbUFsH0NtZhZHzgYKxYR/kZAszbnYKyYpHWBk4G/TU3Tge9GxCu1FWVmveJgrN4kYF3g2+n5x1Lbx2uryMx6xcFYvT0jYufS81sk3dPl1GY24PisdPVek7RD44mk7YHXaqynrXQe0sGXbnmAL93yQN2l2BDmYKze/wNulTRd0q+AW4Aze5pJ0iWSHk935Wm0dUp6VNLd6eew0rizJC2UdL+kQ/plTcyGKO9KV0TSURHxI+BBYAzQAQi4LyJe7nbmwqXAhcDUrP1rEfGV7LXGAscAOwJbAb+U9JaIcM/UrALuMVbnrPR4TUS8HBHzIuKeFkORiJgB/KnF1zoSuCq9zkPAQmCv3pdsZs24x1idpyTdCmwn6YZ85GrcqPY0SccBc4AzI+JpYGvgN6VplqS2VUiaCEwEGDFiBLNmTu9jGWvOW14q/pfMmvloD1P2zooVK9pi/a1+DsbqHA7sBlwGXFDRMicB51J8cubctNwTKXbRc9GkjYiYDEwG6OjoiHH7j6+otP7TOPHywf3HVLrcWTOn0w7rb/VzMFYkffnVbyTtGxFPVLTMxxrDkr4H3JieLqH4etaGbYClVbymmTkYKyPp6xFxBnCJpFV6b33ZlZa0ZUQsS08/SPFFW1DcBPcKSV+lOPkyBrijb5WbWc7BWJ3L0uNXup2qC5KuBMYDwyUtAT4HjJe0C8Vu8iLgHwEiYr6kq4HfAa8Cp/qMtFl1HIwViYi56fFXfZz/2CbNF3cz/XnAeX15LTPrnoOxYpL2AzqBURTbV0BEhG87ZtYmHIzVuxj4F2Au/iigWVtyMFZveUTcVHcRZtZ3Dsbq3Srpy8C1+OtT++RT7yquX/zGr//A6Qfs0MPUZtVzMFZv7/S4R6nNX59q1kYcjBWLiAPrrsHMVo+DsSKS/m/WFMCTwMx0owczaxO+u051Nsp+3kSxO32TpGPqLMzMesc9xopExDnN2tN3Sv8SuGrNVmRmfeUeYz+LiD/R/G44ZjZAORj7maR3AU/XXYeZtc670hWRdC+r3hNxU4rbgR235isys75yMFbniOx5AE9FxPN1FGNmfedgrEhELK67BjOrho8xmpllHIxmZhkHo5lZxsFoA9bpB+zAN379h7rLsCHIwWhmlnEwmpllHIxmZhkHo5lZxsFoZpZxMJqZZRyMZmYZB6OZWcbBaGaWcTCamWUcjGZmGQejmVnGwWhmlnEw2oB2+gE78N1ZD9Vdhg0xDkYzs4yD0cws42A0M8s4GM3MMg5GM7OMg9HMLONgNDPLOBjNzDIORjOzjIPRzCzjYDQzyzgYzcwyDkYzs4yD0cws42C0Ae8fx23HpbMXcensRXWXYkOEg9HMLONgNDPLOBjNzDIORjOzjIPRzCzjYDQzyzgYzcwyDkYzs4yDcQCQNFLSrZIWSJov6fTUvqmkaZIeSI+bpHZJ+qakhZLmSdqt3jUwG1wcjAPDq8CZEfE2YB/gVEljgU8DN0fEGODm9BzgUGBM+pkITFrzJZsNXg7GASAilkXEnWn4OWABsDVwJDAlTTYF+EAaPhKYGoXfABtL2nINl202aK1TdwG2MkmjgV2B24EtImIZFOEpafM02dbAI6XZlqS2ZU2WN5GiV8mIESOYNXN6f5XerzZ7/s8AzJq5qM/LWLFiRduuv61ZDsYBRNKGwDXAGRHxrKQuJ23SFs0mjIjJwGSAjo6OGLf/+AoqXfMaN5B4356j+7yMWTOn067rb2uWd6UHCEnrUoTi5RFxbWp+rLGLnB4fT+1LgJGl2bcBlq6pWs0GOwfjAKCia3gxsCAivloadQMwIQ1PAK4vtR+Xzk7vAyxv7HKb2erzrvTAsB/wMeBeSXents8A5wNXSzoJeBg4Ko37KXAYsBB4AThhzZZrNrg5GAeAiJhJ8+OGAAc1mT6AU/u1qAHm+HRs8dLZi/4ybNZfvCttZpZxMJqZZRyMZmYZB6OZWcbBaGaWcTCamWUcjGZmGQejmVnGwWhmlnEwmpllHIxmZhkHo5lZxsFoZpZxMJqZZRyMZmYZB6O1leP3HM0Vdy6uuwwb5ByMZmYZB6OZWcbBaGaWcTCamWUcjGZmGQejmVnGwWhmlnEwmpllHIxmZhkHo5lZxsFoZpZxMJqZZRyMZmYZB6OZWcbBaGaWcTCamWUcjGZmGQejtZ2P7DaKa+ct4dp5S+ouxQYpB6OZWcbBaGaWcTCamWUcjGZmGQejmVnGwWhmlnEwmpllHIxmZhkHo5lZxsFoZpZxMJqZZRyMZmYZB6OZWcbBaGaWcTCamWUcjGZmGQejmVnGwWhmlnEwmpllHIxmZhkH4wAgaaSkWyUtkDRf0umpvVPSo5LuTj+HleY5S9JCSfdLOqS+6uvxoZ224UM7beMvxLJ+sU7dBRgArwJnRsSdkjYC5kqalsZ9LSK+Up5Y0ljgGGBHYCvgl5LeEhGvrdGqzQYp9xgHgIhYFhF3puHngAXA1t3MciRwVUS8HBEPAQuBvfq/UrOhwcE4wEgaDewK3J6aTpM0T9IlkjZJbVsDj5RmW0L3QWpmveBd6QFE0obANcAZEfGspEnAuUCkxwuAEwE1mT26WOZEYCLAiBEjmDVzej9UXp9hL7zCrGcXtjTtihUrBt36W/9wMA4QktalCMXLI+JagIh4rDT+e8CN6ekSYGRp9m2Apc2WGxGTgckAHR0dMW7/8ZXXXqdr5y1h3E7btDTtrJnTGWzrb/3Du9IDgCQBFwMLIuKrpfYtS5N9EPhtGr4BOEbS+pK2A8YAd6ypes0GO/cYB4b9gI8B90q6O7V9BjhW0i4Uu8mLgH8EiIj5kq4GfkdxRvtUn5E2q46DcQCIiJk0P274027mOQ84r9+KMhvCvCttZpZxMJqZZRTR9CoPG4QkPQfcX3cdNRoOPLmayxgVESOqKMYGLh9jHFruj4g96i6iLpLmDOX1t9Z5V9rMLONgNDPLOBiHlsl1F1Czob7+1iKffDEzy7jHaGaWcTAOEZLem+72vVDSp+uup79JWiTp3nTn8zmpbVNJ0yQ9kB436Wk5NjQ5GIcASWsD3wIOBcZSfAZ7bL1VrREHRsQupUt0Pg3cHBFjgJvTc7NVOBiHhr2AhRHxYET8GbiK4i7gQ82RwJQ0PAX4QI212ADmYBwahuIdvwP4haS56Wa9AFtExDIovk4C2Ly26mxA8ydfhoaW7/g9iOwXEUslbQ5Mk3Rf3QVZ+3CPcWho+Y7fg0VELE2PjwPXURxOeKxx89/0+Hh9FdpA5mAcGmYDYyRtJ2k9iq9evaHmmvqNpDemr6FF0huB91Dc/fwGYEKabAJwfT0V2kDnXekhICJelXQa8HNgbeCSiJhfc1n9aQvguuIbI1gHuCIifiZpNnC1pJOAh4GjaqzRBjB/8sXMLONdaTOzjIPRzCzjYDQzyzgYzcwyDkYzs4yDcQiT9Fq6+8w9ku6UtG8flrGihWn+TdJ8SfPS6+3dw/Sdkj7ZpH28pBt7W2Mr0t14hvfHsq39+DrGoe3FiNgFQNIhwBeBd7Yyo4qLBJt91DCfbhxwBLBbRPYopUUAAAMYSURBVLycwme9vpds1v/cY7SGNwFPA0jaUNLNqRd5r6QjU/toSQskfRu4k9LHDCUNlzRL0uHZcrcEnoyIlwEi4snGx/XKvTRJe0iaXppvZ0m3pHsn/p9ynZKuk/Q7Sd+RtFaaf5KkOalnek6prkWSzimty1tT+2aSfiHpLknfJYV8+tTMT1Iv+reSPrzaW9baT0T4Z4j+AK8BdwP3AcuB3VP7OsCb0vBwYCFFcIwGXgf2KS1jBcUnTW4HDm7yGhum1/g98G3gnaVxi4DhaXgPYHoa7gTuATZIr/8IsBUwHngJ2J7iEzzTgL9P82yaHtcGpgM7lV7jn9PwKcBFafibwNlp+HCKm2oMB/4O+F6pxjfX/T75Z83/uMc4tL0YxY1c3wq8F5ha2kX+gqR5wC8pblG2RZpncUT8prSMdSlu+vqvETEtf4GIWAHsDkwEngB+KOn4Fmq7PiJejIgngVspbgIBcEcU95V8DbgS2D+1Hy3pTuAuYEeKG/I2XJse51KEO8DfAj9INf6E1FsG7gXeLelLkg6IiOUt1GqDjIPRAIiIWRQ9phHAP6TH3aM4BvkYMCxN+nw266sUgXNIN8t+LSKmR8TngNMoemWNeRu/g8Py2bp4vkq7pO2ATwIHRcROwE+y5b2cHl9j5ePqq3weNiJ+TxHk9wJflHR2V+tlg5eD0QBIx97WBp4C3gw8HhGvSDoQGNXNrAGcCLy12XfJSOqQNKbUtAuwOA0voggh+GtYNhwpaZikzSh2oWen9r3SXYLWAj4MzKQ4Pvo8sFzSFhRf4dCTGRT/AJB0KLBJGt4KeCEifgB8BdithWXZIOOz0kPbBpLuTsMCJkTEa5IuB/4nfYlU4xhkl9I8x6R5no2Ib5dGbwj8l6SNKXqICyl2qwHOAS6W9BmKY5Rld1D0/LYFzo3iprNvAWYB5wPvoAi36yLidUl3AfOBB4HbWlj3c4Ar0+73ryjutkNa7pclvQ68ApzcwrJskPHddczMMt6VNjPLOBjNzDIORjOzjIPRzCzjYDQzyzgYzcwyDkYzs4yD0cws8/8BYcovPbom2qgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "W_inv=mappingfrombarkmat(W,nfft)\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.imshow(W_inv[:256,:],cmap='Blues')\n",
    "plt.title('Matrix W_inv for Bark to Uniform Mapping as Image')\n",
    "plt.xlabel('Bark Subbands')\n",
    "plt.ylabel('Uniform Subbands')\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "maxfreq= 16000.0 maxbark= 23.86147742289682\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "spreadingfunctionBarkdB=f_SP_dB(maxfreq,nfilts)\n",
    "\n",
    "#x-axis: maxbark Bark in nfilts steps:\n",
    "\n",
    "maxbark=hz2bark(maxfreq)\n",
    "print(\"maxfreq=\", maxfreq, \"maxbark=\", maxbark)\n",
    "\n",
    "bark=np.linspace(0,maxbark,nfilts)\n",
    "\n",
    "#The prototype over \"nfilt\" bands or 22 Bark, its center \n",
    "#shifted down to 22-26/nfilts*22=13 Bark:\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(bark,spreadingfunctionBarkdB[26:(26+nfilts)])\n",
    "plt.axis([6,23,-100,0])\n",
    "plt.xlabel('Bark')\n",
    "plt.ylabel('dB')\n",
    "plt.title('Spreading Function')\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "spreadingfuncmatrix=spreadingfunctionmat(spreadingfunctionBarkdB,alpha, nfilts)\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.imshow(spreadingfuncmatrix)\n",
    "plt.title('Matrix spreadingfuncmatrix as Image')\n",
    "plt.xlabel('Bark Domain Subbands')\n",
    "plt.ylabel('Bark Domain Subbands')\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "#### A test magnitude spectrum: White Noise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "hide_input": false,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "                <audio  controls=\"controls\" >\n",
       "                    <source 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\" type=\"audio/wav\" />\n",
       "                    Your browser does not support the audio element.\n",
       "                </audio>\n",
       "              "
      ],
      "text/plain": [
       "<IPython.lib.display.Audio object>"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#A test magnitude spectrum:\n",
    "# White noise:\n",
    "x=np.random.randn(32000)*1000\n",
    "ipd.Audio(x,rate=32000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "mX=np.abs(np.fft.fft(x[0:2048],norm='ortho'))[0:1025]\n",
    "mXbark=mapping2bark(mX,W,nfft)\n",
    "\n",
    "#Compute the masking threshold in the Bark domain:  \n",
    "mTbark=maskingThresholdBark(mXbark,spreadingfuncmatrix,alpha,fs,nfilts)\n",
    "\n",
    "#Massking threshold in the original frequency domain\n",
    "mT=mappingfrombark(mTbark,W_inv,nfft)\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(20*np.log10(mX+1e-3))\n",
    "plt.plot(20*np.log10(mT+1e-3))\n",
    "plt.title('Masking Theshold for White Noise')\n",
    "plt.legend(('Magnitude Spectrum White Noise','Masking Threshold'))\n",
    "plt.xlabel('FFT subband')\n",
    "plt.ylabel(\"Magnitude ('dB')\")\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "#### A test magnitude spectrum, an idealized tone in one subband: tone at FFT band 200:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "                <audio  controls=\"controls\" >\n",
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\" type=\"audio/wav\" />\n",
       "                    Your browser does not support the audio element.\n",
       "                </audio>\n",
       "              "
      ],
      "text/plain": [
       "<IPython.lib.display.Audio object>"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#A test magnitude spectrum, an idealized tone in one subband:\n",
    "#tone at FFT band 200:\n",
    "x=np.sin(2*np.pi/nfft*200*np.arange(32000))*1000\n",
    "ipd.Audio(x,rate=32000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "mX=np.abs(np.fft.fft(x[0:2048],norm='ortho'))[0:1025]\n",
    "\n",
    "#Compute the masking threshold in the Bark domain:  \n",
    "mXbark=mapping2bark(mX,W,nfft)\n",
    "mTbark=maskingThresholdBark(mXbark,spreadingfuncmatrix,alpha,fs,nfilts)\n",
    "mT=mappingfrombark(mTbark,W_inv,nfft)\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(20*np.log10(mT+1e-3))\n",
    "plt.title('Masking Theshold for a Tone'),\n",
    "plt.plot(20*np.log10(mX+1e-3))\n",
    "plt.legend(('Masking Trheshold', 'Magnitude Spectrum Tone'))\n",
    "plt.xlabel('FFT subband')\n",
    "plt.ylabel(\"dB\")\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Physical Models of Hearing"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    " - Physical models don’t model the effects of hearing, but the **physical functioning** of the **inner ear** instead.\n",
    " - As a result, their output is an **internal representation**, not a masking threshold.\n",
    " - But they can still be used to compute a **similarity measure** of 2 different sounds, as perceived by the human ear, **by comparing their internal representations.**\n",
    " - An example is the **\"PEMO-Q\"** measure, to estimate the \"quality\" of a sound compared to an original."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "hide_input": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<iframe width=\"560\" height=\"315\" src=\"https://www.youtube.com/embed/CulE7VNtf5Q?rel=0\" frameborder=\"0\" allow=\"accelerometer; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen></iframe>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%html\n",
    "<iframe width=\"560\" height=\"315\" src=\"https://www.youtube.com/embed/CulE7VNtf5Q?rel=0\" frameborder=\"0\" allow=\"accelerometer; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen></iframe>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "hide_input": true,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<iframe src=\"https://ieeexplore.ieee.org/document/1709880\" width=\"900\" height=\"600\"></iframe>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%html\n",
    "<iframe src=\"https://ieeexplore.ieee.org/document/1709880\" width=\"900\" height=\"600\"></iframe>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    " - It is used as part of \"PEASS\" toolkit.\n",
    " \n",
    "\"Perceptual Evaluation methods for Audio Source Separation\"\n",
    "\n",
    "The PEASS toolkit provides:\n",
    "\n",
    " - The PEASS Software: a set of objective measures for the perceptual evaluation of audio source separation\n",
    " - The PEASS Subjective Database: a set of subjective measures resulting from listening tests about the perceptual evaluation of audio source separation\n",
    " - The PEASS Listening Test GUI: a Matlab GUI to perform MUSHRA tests in the case of the subjetive evaluation of audio source separation, according to the proposed test protocol.\n",
    " - The PEASS Examples: a set of audio examples that illustrates the proposed method (see the PEASS Software) to decompose of the distortion into specific components.\n",
    " \n",
    " http://bass-db.gforge.inria.fr/peass/"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "hide_input": true,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<iframe src=\"https://hal.inria.fr/inria-00567152/PDF/emiya2011.pdf\" width=\"900\" height=\"600\"></iframe>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%html\n",
    "<iframe src=\"https://hal.inria.fr/inria-00567152/PDF/emiya2011.pdf\" width=\"900\" height=\"600\"></iframe>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    " - This is used for instance for measuring the quality of **audio source separation**."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "### PEMO Model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "hide_input": false,
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    " <center>\n",
    "    <br>\n",
    "    <img src='./images/ac_05_02_pemo.png' width='900'>\n",
    "</center> \n",
    "<cite> From http://ieeexplore.ieee.org/Xplore/login.jsp?url=http%3A%2F%2Fieeexplore.ieee.org%2Fiel5%2F10376%2F36074%2F01709880.pdf&authDecision=-203 </cite>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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