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@tonyfast
Last active August 29, 2015 14:08
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{
"metadata": {
"name": "",
"signature": "sha256:fc4ad12b9a33c0d61e0e83cceb4e889cd9db68391f74967241241bea10d257d5"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* Call numerator inputs ``State``\n",
"* Call denominator inputs ``Quality``"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline\n",
"import numpy as np\n",
"from skimage import io\n",
"import matplotlib.pyplot as plt "
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 51,
"text": [
"False"
]
}
],
"prompt_number": 51
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"class stats:\n",
" \n",
" def __init__( self, head = None,\n",
" tail = None,\n",
" url = None,\n",
" normalize = True,\n",
" periodic = np.array([]),\n",
" shift = True,\n",
" display = True,\n",
" cutoff = None):\n",
" \n",
" self.periodic = np.array( periodic ) \n",
" \n",
" if url is None:\n",
" self.head = head\n",
" self.tail = tail \n",
" elif url is not None:\n",
" # URL is a quickstart option to compute statistics really fast out of the box\n",
" self.head = LoadImage( url )\n",
" self.tail = None\n",
" self.url = url\n",
" \n",
" # Initialize cutoff\n",
" if cutoff is None:\n",
" cutoff = SetCutoff( self.head.shape )\n",
" elif isinstance(cutoff, int):\n",
" cutoff = np.array( [cutoff] )\n",
" elif isinstance(cutoff, list):\n",
" cutoff = np.array( cutoff )\n",
" self.cutoff = cutoff\n",
" \n",
" self.Stats( normalize, shift, display, cutoff )\n",
" \n",
" \n",
" def Stats( self, normalize, shift, display, cutoff ):\n",
" \n",
" sz = Periodic2Size( self.head.shape, self.periodic)\n",
" \n",
" self.spatial = convolve( self.head, self.tail, sz )\n",
" vectors = AppendIndex( self.head.shape, self.spatial )\n",
" \n",
" self.vectors = vectors\n",
" # self.units.values defines the normalized vector values\n",
" \n",
" if normalize:\n",
" # ``normalize`` passed from __init__\n",
" method, denom = self.__Normalize()\n",
" self.denom = denom\n",
" self.spatial = np.divide( self.spatial, denom )\n",
" \n",
" # slice/truncate statistics\n",
" for ax in np.arange( len( self.spatial.shape ) ):\n",
" # This indexing conditions on cutoff could be problematic. Need size checking\n",
" \n",
" cutoffid = min( cutoff.size - 1, ax) # subtract 1 because ``ax`` starts at zero\n",
" self.spatial = np.compress( \n",
" np.abs( self.vectors[ax] ) < cutoff[ cutoffid ], \n",
" self.spatial,\n",
" axis = ax )\n",
" self.vectors[ax] = np.compress( \n",
" np.abs( self.vectors[ax] ) < cutoff[ cutoffid ] ,\n",
" self.vectors[ax] ) \n",
" \n",
" if shift:\n",
" # FFT Shift\n",
" self.spatial = np.fft.fftshift( self.spatial )\n",
" # Shift indices\n",
" for ii, ax in enumerate( self.vectors ):\n",
" self.vectors[ii] = np.fft.fftshift( ax )\n",
" \n",
" # Switch X,Y\n",
" # http://stackoverflow.com/questions/24791614/numpy-pcolormesh-typeerror-dimensions-of-c-are-incompatible-with-x-and-or-y\n",
" plt.pcolor(self.vectors[1], self.vectors[0], self.spatial.real)\n",
" \n",
" # Requires special treatment after slicing\n",
" def numer( self ):\n",
" # Determine denominator vector axes\n",
" vectors = AppendIndex( self.head.shape, self.denom )\n",
" \n",
" # trim the denominator \n",
" denom = self.denom\n",
" for ax in np.arange( len( denom.shape ) ):\n",
" # This indexing conditions on cutoff could be problematic. Need size checking\n",
" cutoffid = min( self.cutoff.size - 1, ax) # subtract 1 because ``ax`` starts at zero\n",
" denom = np.compress( \n",
" np.abs( vectors[ax] ) < self.cutoff[ cutoffid ], \n",
" denom,\n",
" axis = ax )\n",
" # Unshifted matrices will have vectors whose first index is zero \n",
" if not np.all( [v[0]==0 for v in s.vectors] ):\n",
" denom = np.fft.fftshift( denom )\n",
" \n",
" return np.multiply( self.spatial, denom )\n",
"\n",
" def __Normalize( self ):\n",
" # Decision on the denominator here\n",
" \n",
" sz = Periodic2Size( self.head.shape, axes = self.periodic)\n",
" \n",
" if len( self.periodic ) >= 0:\n",
" # Swap this to a leaner function\n",
" method = 'convolve'\n",
" denom = convolve( head = np.ones( shape = self.head.shape ), \n",
" tail = None, \n",
" sz = sz)\n",
" else:\n",
" print len( self.periodic )\n",
" \n",
" return method, denom\n",
" \n",
"def npNormalization( sz, dims ):\n",
" # dims is a d x 2 array \n",
" # the first and second columns are the upper and lower bounds of the vector\n",
" # It computes something requiring the manhattan\n",
" return \n",
" \n",
"def LoadImage( url ):\n",
"\n",
" A = np.array( io.imread( url ) )\n",
"\n",
" # Process the Image\n",
" A = Binarize( A )\n",
"\n",
" return A\n",
"\n",
"def convolve( head, tail = None, sz = None ):\n",
"# Name the variables based on the reference and moving features\n",
"\n",
" if sz is None:\n",
" sz = np.array( head.shape )\n",
" \n",
" fA = np.fft.fftn( head, s = sz )\n",
" \n",
" if tail is None:\n",
" # Use [Wiener Kichin](http://en.wikipedia.org/wiki/Wiener%E2%80%93Khinchin_theorem)\n",
" fA = np.abs( fA )\n",
" fA = fA ** 2\n",
" else: \n",
" # Brute Force FFT approach for different states\n",
" fA = np.multiply( fA , \n",
" np.conj( \n",
" np.fft.fftn( tail, s = sz )\n",
" ) )\n",
" \n",
" fA = np.fft.ifftn( fA, s = sz )\n",
" \n",
" fA = np.real_if_close( fA )\n",
" \n",
" return fA\n",
"\n",
"def AppendIndex( osz, fA ):\n",
" # osz - Original Size of the raw data - A.shape\n",
" # Define the unit vector distances for the statistics\n",
" \n",
" nsz = fA.shape\n",
" ind = list()\n",
" for id, ax in enumerate( nsz ):\n",
" a = np.arange(0, ax)\n",
" a[ a > osz[id]/2 ] = a[ a > osz[id]/2 ] - ax\n",
" ind.append( a ) \n",
" \n",
" # A list of unit vector indices for each axis\n",
" return ind\n",
"\n",
"def SetCutoff( sz ):\n",
"# Set the cutoff criteria for the vectors \n",
" return np.floor(np.array( sz )/2)\n",
"\n",
"def Periodic2Size( oshape, axes, mult = .6 ):\n",
" # Determine the size of the FFT domain for the convolution\n",
" \n",
" # Initialize the size of nonperiodic Statistics FFT size\n",
" nshape = np.array( oshape ) + np.array( oshape ) * mult\n",
" if len( axes ) > 0:\n",
" # Reassign periodic axes where they exist\n",
" for ax in axes:\n",
" nshape[ax] = oshape[ax]\n",
" return nshape.round().astype('int')\n",
"\n",
"def Binarize( A ):\n",
" # Binarize a grayscale image downloaded from the web\n",
" return np.round( A.astype( 'double' ) /255 )"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 59
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"A = np.zeros( (5,5))\n",
"A = np.eye( 5, 5 )\n",
"s = stats( head = A )\n",
"print s.numer()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"[[ 4.00000000e+00 0.00000000e+00 5.55111512e-17]\n",
" [ 0.00000000e+00 5.00000000e+00 0.00000000e+00]\n",
" [ -1.11022302e-16 0.00000000e+00 4.00000000e+00]]\n"
]
},
{
"metadata": {},
"output_type": "display_data",
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"text": [
"<matplotlib.figure.Figure at 0x10e312b10>"
]
}
],
"prompt_number": 63
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"s = stats( head = A )\n",
"s.numer().real"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 28,
"text": [
"array([[ 98839.70867533 +1.19423439e-11j,\n",
" 98743.97181312 +5.08162773e-11j,\n",
" 98703.28805482 +3.90110405e-11j, ...,\n",
" 111186.87637421 +1.51447200e-10j,\n",
" 110677.37570426 +1.68153982e-10j,\n",
" 110099.45797757 +1.77715004e-10j],\n",
" [ 98634.77280396 +4.38013990e-11j,\n",
" 98538.44642300 +7.87424116e-11j,\n",
" 98512.61607253 +4.97933466e-11j, ...,\n",
" 110777.05394361 +1.89441848e-10j,\n",
" 110396.60381262 +2.05793298e-10j,\n",
" 110016.20999482 +2.06630061e-10j],\n",
" [ 98615.30384565 +4.87395867e-11j,\n",
" 98466.70758052 +8.54524195e-11j,\n",
" 98560.60794045 +7.68287176e-11j, ...,\n",
" 110154.77830743 +1.95968334e-10j,\n",
" 110132.46268657 +2.06491279e-10j,\n",
" 109861.18913243 +2.34144394e-10j],\n",
" ..., \n",
" [ 109815.35634598 +8.59878933e-11j,\n",
" 110086.68916929 +1.18679831e-10j,\n",
" 110109.16842432 +1.31699463e-10j, ...,\n",
" 98273.03657601 +8.92171347e-11j,\n",
" 98179.56436567 +1.22805210e-10j,\n",
" 98327.88132465 +1.33444383e-10j],\n",
" [ 109970.61800943 +1.19896195e-10j,\n",
" 110351.02704300 +1.52845499e-10j,\n",
" 110731.49399307 +1.59493161e-10j, ...,\n",
" 98225.45758298 +1.19505615e-10j,\n",
" 98251.36692774 +1.40378638e-10j,\n",
" 98347.56672675 +1.53089452e-10j],\n",
" [ 110054.13618272 +1.38828860e-10j,\n",
" 110631.98930842 +1.60288292e-10j,\n",
" 111141.45557327 +1.73157981e-10j, ...,\n",
" 98415.84623601 +1.21052586e-10j,\n",
" 98456.56612632 +1.46293094e-10j,\n",
" 98552.17870886 +1.65763697e-10j]])"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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TPSeu97yY6tX+K1uUU5SUw3f7TXRN3Gvh7zOlGBMikiYsvsnj1cEY9pFE17r+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\nwNUCuL0A+kRMAMvNiqUXkgW36/Fr/6Z4D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"text": [
"<matplotlib.figure.Figure at 0x106dd6c10>"
]
}
],
"prompt_number": 28
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Back Calculate Numerator"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"url = 'https://farm8.staticflickr.com/7368/12972465885_1bcb9717bd_c.jpg'\n",
"A = io.imread( url )\n",
"A = Binarize( A )\n",
"period = [0,1]\n",
"s = stats( head = A, periodic=period, display=False )\n",
"print \"Volume Fractions:: %f / %f\" % (s.spatial.real.max(), s.head.mean())\n",
"print \"Maximum Imaginary Value :: \" + str( s.spatial.imag.max() )\n",
"# plt.imshow( s.numer().real )\n",
"# print \"Counts:: %f / %f\" % (s.numer().real.max(), s.head.sum())"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Volume Fractions:: 0.468414 / 0.468414\n",
"Maximum Imaginary Value :: 1.20787761987e-15\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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/L+kTkt7bH39v/78kfYuOFf8XtDMep0QF3bjMCdmyjLnxrGD4kJePs710vCBt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\n+am6cqZcJDEHIfDlflO5+ZqEPhJOIhTksTPvNUW+K0erVblk22kOzFc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mHXCDaxOh4Nqz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YYUsswHNFjiZW33/dOQpsKdEl9edGmE8zN/2W9jol5YGfI3I0DBdz+ZkPdH3l2Plc598NiSelQI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\nT2ubULsXZbgIX3qwC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"text": [
"<matplotlib.figure.Figure at 0x1023b6c10>"
]
}
],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Autocorrelation :: Local Data :: Periodic"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# url = 'https://farm8.staticflickr.com/7368/12972465885_1bcb9717bd_c.jpg'\n",
"# A = io.imread( url )\n",
"period = [0,1]\n",
"s = stats( head = A, shift = True, normalize=True, periodic=period )\n",
"print \"Volume Fractions:: %f / %f\" % (s.spatial.real.max(), s.head.mean())\n",
"print \"Maximum Imaginary Value :: \" + str( s.spatial.imag.max() )"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Volume Fractions:: 0.468414 / 0.468414\n",
"Maximum Imaginary Value :: 1.20787761987e-15\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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/L+kTkt7bH39v/78kfYuOFf8XtDMep0QF3bjMCdmyjLnxrGD4kJePs710vCBt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\n+am6cqZcJDEHIfDlflO5+ZqEPhJOIhTksTPvNUW+K0erVblk22kOzFc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mHXCDaxOh4Nqz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YYUsswHNFjiZW33/dOQpsKdEl9edGmE8zN/2W9jol5YGfI3I0DBdz+ZkPdH3l2Plc598NiSelQI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\n3OXBBeXzG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"text": [
"<matplotlib.figure.Figure at 0x10cd6d190>"
]
}
],
"prompt_number": 8
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Cross-Correlation :: Local :: Periodic"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#url = 'https://farm8.staticflickr.com/7368/12972465885_1bcb9717bd_c.jpg'\n",
"#A = io.imread( url )\n",
"#A = Binarize( A )\n",
"B = 1-A\n",
"period = [0,1]\n",
"s = stats( head = A, tail=B, periodic=period )\n",
"print \"Minimum Magnitude:: %f\" % (np.abs(s.spatial.real).min())\n",
"print \"Maximum Imaginary Value :: \" + str( s.spatial.imag.max() )"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Minimum Magnitude:: 0.000000\n",
"Maximum Imaginary Value :: 1.72904358514e-16\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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cKJN3RZtWjr853CzH9EuuKetP0c+paIzobSvi87f7pbFuSDzPTXtZOX9tj2Ci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"text": [
"<matplotlib.figure.Figure at 0x107e14510>"
]
}
],
"prompt_number": 9
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Cross-Correlation :: Local :: Periodic :: Cutoff Axes"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# url = 'https://farm8.staticflickr.com/7368/12972465885_1bcb9717bd_c.jpg'\n",
"# A = io.imread( url )\n",
"B = 1-A\n",
"period = [0,1]\n",
"s = stats( head = A, tail=B, periodic=period, cutoff = [100, 50] )\n",
"print \"Minimum Magnitude:: %f\" % (np.abs(s.spatial.real).min())\n",
"print \"Maximum Imaginary Value :: \" + str( s.spatial.imag.max() )"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Minimum Magnitude:: 0.000000\n",
"Maximum Imaginary Value :: 1.72904358514e-16\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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7yWjgvpWv4j7yMzVlWUZRVInS/Ih+ngQ6X8IVcvOl58cpCXFbixPbO2rRvrOS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\nJEmSJEmSJP8fi9MEAiRjzHcAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x102388850>"
]
}
],
"prompt_number": 10
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Cross-Correlation :: Local :: Periodic :: Cutoff Magnitude"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"B = 1-A\n",
"period = [0,1]\n",
"s = stats( head = A, tail=B, periodic=period, cutoff = 50 )\n",
"print \"Minimum Magnitude:: %f\" % (np.abs(s.spatial.real).min())\n",
"print \"Maximum Imaginary Value :: \" + str( s.spatial.imag.max() )"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Minimum Magnitude:: 0.000000\n",
"Maximum Imaginary Value :: 1.72904358514e-16\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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3/bTEqENtMNZS/7uUPOscclBY6zUY91cLSbBpXOP1UO9tv5I3izX5a7YQFmJQ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\n+wAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x10980b110>"
]
}
],
"prompt_number": 11
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Cross Correlation :: Local Data"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#url = 'https://farm8.staticflickr.com/7368/12972465885_1bcb9717bd_c.jpg'\n",
"#A = io.imread( url )\n",
"#A = Binarize( A )\n",
"B = 1-A\n",
"s = stats( head = A, tail=B )\n",
"print \"Minimum Magnitude:: %f\" % (np.abs(s.spatial.real).min())\n",
"print \"Maximum Imaginary Value :: \" + str( s.spatial.imag.max() )"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Minimum Magnitude:: 0.000000\n",
"Maximum Imaginary Value :: 2.94064460027e-16\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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PJvmTST6Z5P0k/0mS/zCH/zP2Z5P8miRfSvJ9SX7+mOeHkvzhHLr4jyb5sV3u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\ncIOE+37PY57CdsmpPmKelrsCDVOY8CPQ3TYGjM9721my7XhfF10F7F0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fHtBMTndyMWzH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\n8f2cIC6mxIflODFsh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"text": [
"<matplotlib.figure.Figure at 0x10e6c1f90>"
]
}
],
"prompt_number": 12
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Autocorrelation :: Local Data"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#url = 'https://farm8.staticflickr.com/7368/12972465885_1bcb9717bd_c.jpg'\n",
"#A = io.imread( url )\n",
"#A = Binarize( A )\n",
"s = stats( head = A )\n",
"print \"Volume Fractions:: %f / %f\" % (s.spatial.real.max(), s.head.mean())\n",
"print \"Maximum Imaginary Value :: \" + str( s.spatial.imag.max() )"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Volume Fractions:: 0.468414 / 0.468414\n",
"Maximum Imaginary Value :: 5.40158167971e-16\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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TPSeu97yY6tX+K1uUU5SUw3f7TXRN3Gvh7zOlGBMikiYsvsnj1cEY9pFE17r+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\nwNUCuL0A+kRMAMvNiqUXkgW36/Fr/6Z4D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"text": [
"<matplotlib.figure.Figure at 0x107ed0110>"
]
}
],
"prompt_number": 13
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Partial Periodic"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"period = [1]\n",
"s = stats( head = A, periodic=period )\n",
"print \"Volume Fractions:: %f / %f\" % (s.spatial.real.max(), s.head.mean())\n",
"print \"Maximum Imaginary Value :: \" + str( s.spatial.imag.max() )"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Volume Fractions:: 0.468414 / 0.468414\n",
"Maximum Imaginary Value :: 9.06348009753e-16\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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Q4n3+P/e1hv+9F5ossUE4edWvQK+rDL5K0n8l6cu0Dzn+p5L+I0kfkvTXJf1R\nSZ+W9K3aP5IjSd8t6S9r3/W/IunHa81tw9IC4eF1XpwZDLYV1456aA+qKX6biJuRLmuzFGyRZ6YT\n62K7fJuSr/nYYloMfqCLR1mk6ymtg2epwGx12aLKd+RmXzJ4mfxLa+HiceK8mBembXJj0bpLxUCr\nm9awN549l89p7UlNitEeTApNKs12Lz3FJhA01MexyvWdY0RLm8qThgz3hK890fr4d0VdadE3YvBY\nmu+hIGoYefJpq59p4A6qPtLamPMDdVkHeWSqr8l9bem7jFsRYvF+o0I18RkmvrXMNHkJXuPMFHR5\n3vM0/je/LNtgICqtNLZekV5XGVxJ+rcl/Zz23f47kn5C0r9++PwBSd8p6bsOf18r6dsOn18p6Scl\n/QlJv3tU8/s6XtDSsRAnTUEbTig3UEJKKQhTuVjxtDZd5hR5Afgp3RTcaVHzmnnygiZcRBd3sqL4\nxGK6zjwAzsrWm8eWVI5Zejb+jYvYSrtZhoQInmp9Vr95IDG+YV5axgnHxH1PniksDOO9oWVM39J6\nfizMMouNlh8tZ3pgqSx4Dk1TJoQD3WeepcV0SmZnuT73yc/iJLTgteNrT7UIagrNPLiR+4bE4LYp\nPY5r/J7Kjkr7SsfHnJCaR+HxT1lB4m+ZTZTHXjAFOdvONryGU3F6f7NfKfSbV9O8bP+eyQz83sbq\nJel1lcGvHv6k/RD+vPZC/i9K+vOH339Q0ie0VwbfLOmHtB+aT0v6lKSvl/TTRzX75dEkLsrML06N\n3VwxbtR8kpfX8/fmpuWCa9BBK08X1sFDWiwmpss1YkbFlhJrgbZcuP5ugf9YS6Ddm599a96PtBZi\nJtfxUPsV8kx7RZ/CYSv7gv9nAI1WFK9RSDchkfjsG+DXwpd1OAbAt+RlW6YmHFssIstbqTFLzWsy\nBTJ5uNZ6Hwi/tyOtU8CnZ8S6m0JLq5p9kNaKNhVmZnFljIW8NyFpZUyj4ZQUa/vRBmJ6bSmoT9W1\ntb8mRX0dv+d9Kcv8WzM87pDusrqPS/o6ST8j6SOS3jv8/t7hf0n6Cq0F/2e0Vx6dnuhYIzarvr2O\nshEnnTi8r0lrbb5FDU6hQiDloqDgp6CdLJG07FIAUihYoBNuagHr1o9s1+3ZurcQ31KUdPUbjMIH\n797W+hyf3AQtPsH5s1eRLjQ9JrfpMTFRqL+F33lvEwwJQTAG0HimRWiecz7cTsJIGQj12Gfcw+u6\nQTuK/3lDs+aTAAAgAElEQVR/esvkxfzQm8u5zP64HnsvXue0vOmRXqKOa63HWTqGu8zTVjzH1BQ/\nqWVluU16uY+0QFkcf8JXeU5VyqeEsk7Fo6TFE/TY8sE985Ae8WvSXSmDx5L+G0n/pvYig/Ti8DfR\nfI2CZwrI3mixfphZ07A8u1NpUbvMNLBbAUduoukUyoQ3WG8KTbvtSUxvI2RAvL1tKuLNF1HGUICz\nqTyGHscHWgvK9mi9FUVTosTjOTcvtFik3ohvqluoUt/Yk/CdKIWaeW1wQBoJDuKlYZJ181rCJJxr\nz/Nkjbu8lR09h4TjaEyk4m8PXHH+k3/+7128lQjB/rh9khMTzCPTcrNtPuVPa9/XDVt6rfKgxIQV\nJ0XQhHD2hWvByjC9kKZ4+Oe22IdmGEnHBmRT6H6Vp6mly7d985J0F8rgUntF8Fcl/cjht/ckfbn2\nENJHJf3a4fdf1j7obPrY4bdjunp3iSQ8e0d6+M4xJCItm8IbNi2cnABqYFp00rxY3IYFw9bkTm4r\nFRB5y9RLaU4DnCCDduwuhZi0valbOh3TYW2debM91zoVLu9N5URF4Dl6A9fcr3ZyIyGJiW+3z3jF\nbTDUpgjcbiPzx8A3DxjcstQ45xc6zsyiAHAZZljRuEkrkvc3Spx9WrdpqDB7zURYKAOXt5UmbH+y\n6FtdCb9lvI6ecnpQmXwg/O77vcbzHRQ3UTaVadaZfcnv7AtpGj++E1pae2nPPyH99iekD0jvvjvc\nf0t643SRk/f/oKTf0D6QbPqBw2/fr32s4G0tAeS/pn2cwAHkr9axd/BCH36xthS4cROzTAGcwpbW\nBd9oJq2PYMiF2Cw9BR9JyU8uHLfJ+ifXPg9EM7Qi/PZMx08Tm2zJZoDMfLGchY/re6L9rDzS3mp3\nQNUCwPj/Tnu/8G2tN2FmCDVr7RL3+920W5BIegMJoUnLQ0s8vpiwz5aCyXgFvT2On+clrbOtoHMK\nza2+5BvSOHZUmAm5eCzpGXiuuI9MFGBUMiYGsJOPPOKa+zP3XBob5Nl1v6/1Onmo9dwlcc9O85zX\npeMA9oX280ZlkWdQ5RldVGZUMDTKfAx+8wAVvzeFmOu+JdPEyQov/oH0xhtvSK8o11/XM/hzkv41\nSf+bpL97+O27JX2fpB+W9O1aUksl6ZOH3z+pfZe+QxNMlAGxFliUlklpJ3OmwKMioAXmReFF5LoM\nlSQmnVYceckAmYkLyIKXsYRmndsFv477UoiZDy4ub4DkQ+qLk5g4lYM3hzdujoU35RMdn+1Cy5Fz\nkm/R2un47W+mjBEI9+T7iQ2r5EuIXJbKbHrPAxVnU+iTVXsbT4T8eB6zruSH5DLNo/Dam6AvaW3p\nZ3yC6yTXWAot/885SziqGXAUoNzP11pb4EI9Oe6+LyGn9FRZx4QomBfyf43fuaaEcly3/N1E+XBK\nwnL+UwmYmuxLudPQgZek11UG/5OkDwzXvnH4/XsPf6cpF/2kZTNAy/LOw5+ybpgWxo1OTFxaZx+w\njqZ4fO+b8Rs1/W0w753Wm4SBOS643LjEXblZeZ1t8F7zx9Q788/N7MBhBmdvs0HcRr4RLceX89ng\nPI/P5KazXp4UyfgIx8PYK4UIx+0U3pse36lAIYOhGQjfWhc0HlJ45f5oxsAkyCYh1LyGjL1Ix+OW\n7TTjJ/lsbZGIxfMhsjQmMtMpx4G8nBLat4UcWUe2OSl41j0pMxK92/z9Nel1lcEXjjJo44EhdJIu\n7/Xh87HWxzWYcsDStcvRyMWV1giFYOO/vYiGC9ltpEeS1imDhbbA7dq6XL61a6dFwLhcPrwm9cCv\neSDfOtxP2IkK2mNPmITzkwKyQTK2cLaEl8ulomC2SiqhK+0feWRGRlqX5j9hBfJHL6e57glLSuv5\nSGs5y3r8OCfXuObPKf7D7B9pGRe+VtTeXhpXKdgzJTSVNechoVdSKgP2I7MEraip4BrlPqZXT+Mn\nPZAU6gnDNWnIell/M1Sz3i2PPKElvl0xM6bSeyBN2VWvQOerDAxNMN+dWK00W9e5IZKYUcEF6syY\nvNeLwIurbWLyQmuPROtUOrYcXDctJ2KcSdNC8PHTLpPHck9HAZiPjJ8kn4kJT9Z8gwNSEaVCJ2/t\nhEmWdV30wNIbZMaVj/jm+4NTGfKAMgvuxNZ9jWWe6TgHXvHZPFD/T7jH49LmfCsRwO02Hil4b7Q8\nWNUoy7tufkrHJ6Rm2Yn44GhCfa6vQTvSGo4iZORD3SjgiQgkzi51Ye1yKYDToGtrN+UQj5Q3ZRC4\nEctMlNlNt/FeTtD5KgNpjVebaL1JHU8jhpaTK603HgfxUsfPLLi8F1des7AgBjwFJ0lUMGxD2vf5\nc+CTgpGeA/mn0PLioLKjZ9MsDC74i/hOuMAeTEJeLe20xXASenEdDc5IXN19S+J4p5JuG9lP57pv\n9poSNnpL6ydJDcOkknc7DfpwXfmQZM4Xic95cJ1f4dN/UwyJfCVRSeZ95pF7LPcLBXVCL5Nhlp+m\nKRZIGIxraEreIKSac85Addbve3OveJypGFMRTB4eH9Zs/XK99DjykD3F92mc3MbWA6q3pPNWBl6s\n1K6EJ9KVpaV86iEPab0hm5VEIcbPHDVvroa53saFu9QaUqJA5QZNa5YQR2Y3WIg+1wIVScevq8zv\n7GPDnzMzRloHqmlh8z5fa+NxKi3PNAXZWQeVdpbdqn+CjNLK3mnxAghnUEhknIGxHmmZg1N4csJo\nXE8cszRoeE/W39akhRL3QIPwWoC38WAivt/qPSV9pntp4CWc7Cfds5wNqjysr8E7pvTuOG4W3rfl\n/Tp+uyq/J9SVx09kObZzB5L8fJWBFyA1ewYdWZYKQVrDK/lmJGk9uC7ryc30QJaRjrMkrNFzU071\n0OrhYs5NS2oLabL8zA8xbVodqRAmXHenZdG7L1ZciX86tbTVo7jflHjsllJI4UNs3UovX0/Kzc8x\nc4YI19VFlHWZtqn90JzHhcrAZD6YuUR3ng9IMU5CC5AKxP1k3bTO/ZszhmjNNujOSuE5rhOy4bxI\nx+sxFUMziGj9pjAj7ESPh54H623QZsaGKBhzXNl3H4mS+4QPc7p8ptU+U99Lk5K7Hr6fKud2M7VZ\nUW4yJF6BzlcZSNvpWyS6eY3Stc2JyywMnvNPXryQnus4e4EQk4mWX4OkKByapueGz4eU0j2nELSy\n4nMVCQvkIk74Ixcng4453g/iujcY4STy2r5nnwiNSdvZNUweYEZPwlRJCT/xz7zzeXoGkFu2SFrt\nuT5Y/gbXW7B6Mj7Ib94zeTvpLU1YP4Vgs565ziZ4ItcxIRWPq8tsWdZpxJ0aj+a9J28tOcE0jUUa\njW6DPKRQJw98V8okoyZPxdcSIstTB6TtWNIt6XyVgTnzgsjzYDIAt2VVczFuUVq7kzXDhecsgIbZ\nNfyy8egJJTTkTwp488SJJ6TBui0MH+D+hE/4XAD5Ja85Bgn5pJKzd+ZYj61FKqKWeeK+cxxbxgb5\n29rcGYC0IGqU4+5xacqMc5NCIi11/0ZFsCXU0wtNxcZ1z/mhYqFCVrTHsXO2WPP0pP6Qk79PMKa0\nno88mTf71+Apab0eSbnG6cm1ADe9Yj6H5Pu35sLrNuEdl8uEAH+msPcxGk0BJizkur1+WFfGzkh3\n5B2cvzIg0Z0kJXY7UcPnKMxyU/M+lstnDtLiM+UTxIprxJi9MbNss46pZCaeyQ/xbgrEhAWyTvaN\nG6dBPW3jXOE6aafjQH3DZwmp0UMiH7TmHexryneCO/xbG8ccb16noBF+S0XHACQzThqP0rGX5zIe\ni8a/5zdhKlIzdJLaXJPPFqewBb/TOquLbVG5tVhSYvKEZEhb7y9mO2lpX6CMKdNaWT4NDlIbnxbH\naUF9r91Uys2gIexG2Cxl1am400vQ+SoDaYEb6GptPWlHoTDhzymwWvBtGpVcCN6gORH8vy1OqXsS\nDvxuucOunwqqLSYLHru0Lb6QwqlZNunuN8Eora10bg5a9JnW5/P2s1/SIqBzvlPppPCmlUwBn9aX\nP6nM2rjT+vRZRKYU/E0hp4Ln+D4rZekB5DrNhAn2wcKQFn2eaUMvM9ckBTPbSI+YdUhLWmc+2+Px\nSmFJbyD30pa30IK4txWAaSRmH7KuLMvkjCwzBeNbPUnN8Gh18tWlnHvv/TuAiJKd86OtdCq7xy6X\nxAU/uVeMFbjOnEC6lZyI/C0tVvKRdU2ZS41Pb3CpwxysK601/t7c3fR4uMAzSHYbrJXKRVrn+9vz\nsdBylhOhqhx7ekDmP4VJ80QSY23Ki7/n//7k8whSf5tUrhnz4T5JawXfLPZJURmmImzQBM3kfbp+\njyOVY1ujzeNj2iTHi0HXJjzzfJ+8Pyn5z/2We4NeI3nnHshsHM7D1vtCJsVAPrjGJvlCfjzm/N9j\nTM8926EC5p7k98ljfEk6b2Uw0WTZ8xrdqSyT0AknPwNDCStN1HB7fqa3wsXAezLzI4PbtFJa5hT5\naQskZ3w6NnoiLsa04iw8iNfnON/oWEHyoSFaoxRI0vrwsjY3zcuT1h5cU/jtu/m19W+en+h4vCjQ\ntwJ60zhbIBBm4rwzU8jjRwuewfo2J5NV2hSL77nS8sS6or3MVDNvT+J+3ycdCzcL4pbqOXm6LkdD\nJ728/L0pq1SM7AflRT4Qx2dFJslJAc91wbXuNrgnSC1Qz+/MrLxDCX6+yiADpg03M00KQTp283md\ngjpHggtf6gvcv080LVTfl2lrTZH5k0Imj7Kw4KAl9paOA84JLUjHG2OLWuDePKVg9vj5KASeIkoP\nZIdPBzMJMbj+S9yf6Xbsg4mWYyr3FDapbL1RXYd5dh+YKpoeX25iEg2AFMQpYPi/A6Ds10NJfzj6\nRi+KbfpatuFxtYJrXgCVAJWw7+XZVE0Rcq5zrVFgtn2dRlrjS/GZ6aFTogm9ximxgHWr8NfWH+ds\ny1rPNcgMxQb9cH9Jx9lpd0DnqwykeTCbBUDrkAIzabdxfSvVLSmFjydwqmOCgXwtLRYKDU542/yE\ny6Y2Gn9NiLYVYQs5vawGkWSbGTfIDdy8qay/Cf+EVjJewODblgXVhLaF1NZxGMnjlidg3lLpN6XU\ngp0mjr0zjAh18AnqHCPyq7huRcBcfs4tFTj7msYKn4ugAs8xJqTDfTh5z7zH96VBZr4yiM7YWaM0\ntBo9OHGdCi9p8jzNXypfk+fX9SYK8AWg81UGOflJ02Kni0Z6pGMLUdo+qyStkYb7Jt6aJ3GadjoW\ndtmHBvdYmKXgzv41+KMpEek4sMe2/JkKisdjONDNvlNIMNBqQcITTimw83kNwx6p2Ij1Jkzi+9jf\n6f0BfAdB9j2f7Pa7AFwHLeIUqs2qzeB3CspGfLKVXl/Dx1tWUHp95NFt+96MbaSF7e95NDmV2qsc\nncyxzHWcc2uenmk7yJpriDAbsxAzSSDlzEVc99zuUEeOeyoDjze9hdxvHku+k8Dk/dfWrSkV9x3Q\n+SoDEhd1Zr9IxwPCcz64cd9UD1QlTs82/b29/KbhhxQSDMR6gyUOyDYy86RZzw3S4VEKLb0vA+3N\nWpuIitCCfTrSgsLC48UMFyoE35v3M8aQyrEpQH6n0qQyYxpvE57SWnikoGawMRWBP9NDTcHQFFiW\nnbw6vpqUY9DOs6EX1hQ+Kb2V9IRcVwZn46Uqn//O8ci9QriNZP4S+pTW8SkSM82o3OgptSwu9peQ\nl9u8UVfq/KR8yHlMmiz4jG15DBgLyPeuZPJCzu0dSPLzVQaZLUDypG9ZJWkZm/KNR6YteCf/T4uY\nmy/vyfS1JkhYNwVmW2AtvdC/X2m9gK50/LBN6xfHorm1aXW7/qasXB/5T0HwBN8tJCeBn0RebrMh\nzY/vy+yrnLepDsMoV1GOdWfSwpYiSGJ5f7bgJ9eGjyjPNeR+TmuMngn7f9vDzmghN5q89ovyfSvJ\noQVW+eky7F8mF0ywypXWOf6WFxMKkfFCzlN6Bq0teyFNgLe9mfs4+ZFOQ2AvSeerDKRjoceNb7ee\ni7kdh0tirjYDWikU0opMYcgFIfXJ8ItSrLDyOAnymN7IRXxnuylQ2qJkeWeg8DC5JFtR78dvthab\nRevPFDTsj8sYS36gxXOZ3HzOCa9ReKRQmIQYT3pN3rJ9xhxSIZonJiDkMwZTJlNCQpOgTC+D2UVC\n26nM8pWnj7W8+tLBYZ/ISg8110t6ceSpzZXniB74Yx1DKFsw0NRv9o88NGzf89PG9JR0a2tX6inE\nWW/rY8sc5CfjAAnNpXJsySNs3zLwlFf5EnTeyoBCbtJ+FIZ0E5mpw3vpWnJBMnbgVEdeT9z+1OLL\nQG2jSTlI20c2ZFs5PlQyKfzTA3BZZodwfOiytpgGeZgsHR79zdTQ63LPlCKZCti8X8X/JrdDqIHC\nS1pbhVflu+vkPFiYTmfyJI9ZhnNFxTcJhXYGVuLf7YX3u/jLNf8g/s97TXlYnvknf+QtjzJPCDb5\ncVl+5sGSmV3GwwVptHn9kt92HAbrzjmRjtcY+Tc1CItKsqEE/n+y+NNba0eMZ5tbxu9L0vkqg4bd\n5/+ekHy0fHLbG8YvLYrEG58WlHQc+EzKxZRPlibfzbNoi44KLc/JaZZJuqOEjRTlOSask4FDj0Or\ng+2RhxQuXtD5snDGOXJxp8JqR/myDxkU9D2EBDPtMwWkMegcl0vNwj+fCWjKrcEp5D+DmNnGDnyZ\nLrWeZ7bTXtC0lRVljNpHkzv4z3VAfvibLV2nDtv6pefBdUvLOddUKgTuKabW+gFIGn5p8LUTaT33\nXCuTt9G8UBO9NRL3cKtLpS7W34ydyYh0n6Z9+Yp0vspAmjV6iyd48fiPCyUDSbwnBW8K6HTxWYZl\n28Tl4mgKgfVMln+ru+HBTajYbU9e6b6aPwsSbkIShYCFOxdzU5iT1+J7OEZT3KYpHVITwnlflp/o\nRvsjql1XHgf9VOtTbS2UW8wl603KNcA1TF4ptBLi2Wl97MSN1muX1vqpGFnm209WdY63YU23S4+M\nY3Ol43nydQrTNGKo5CfjZPq/ZWa5TvaHv+WaYRLIDv+3wLb5b5SwWrbFscn95bI591tr+SXpvJUB\niRt7SyN6Qxj/NOWgpSa2R7C1qbeUQGp4aRam+RsXGjdaLogJb90SuKaERBpG63Ieh/Qa0spprrvL\nsr7McOL7iNumYJ8Sj23utXnLdZHjn0HVnGMLf681W4CEkCi4sp/pcVEQJ7bfDtTL+aTnlALYgvqp\n1vOfT4CzHw26oQKhd8x+8ZN8mijQ/el1lOm6hGVScW/1kxAm9wrLZTuZtknF1Lxsezb8je1sKUT/\ndpvEFHpKORZtTEhUBg3mfA06X2XQ8slz0JrHYLJrmbj5qUXdPIGkxHwnHtjmZSlDAZtCubWdYzG1\n14jWDTdF1m8i9ktMmkI0+893CLh8uvJWIs+1Dzi+qeNU1bS6rrVkIKUAaC+lZ10JAyTElNc4vj6G\nu/XHlFDXFCBMqCsFTEswIDVh4faoWGhIsP95b8O2+TwBMXHzTg+kWe/uD5/QpkLwvcI9GYNqip1j\neKVjocx7aUCZ34wTpaHDGEyLEbmdq+H6luee3k1CmxTurU8Zm2C9W+vlFei8lUFupElLTxPSNigX\nQt7XoJmc1LzeMEfFb2nNJ+QxpZ9KHVNMK3RrUbQMh4lft9XOnbnWki1i2g08ZEaIy7oN887TaDOg\nOUFvXBN+l4S0jklMc0pKK7Tda37bhmU9yV/GKHj/JMjcVqOWkZSB/hy/Vr+vb41PxiKyjvRA6YGY\nbIjxgMM0YHKeeX/ul1PjlOPhOqhouO9b9tlW3Mb8t3ZbPVv7LK+3NSgdy4Ct/ep6X5POVxlw8bTj\nBNIFtKZsQZzEpZliKq0t3LZx0yJI65xCvcE4rV9pXTXXmdTiCRO0Mt2X1AJkKnyY18afhYeVFC0W\nWnEpgGy52XPLeAV557gTM28YbTspswnIFseh4MmHzNKyzPIkjyvbSB5u49ERRjC1B74sTBP6fKo1\nbMVTWHfqL++Rjtd3e4lQWtfmibSl+JpCyjFi+9LsYZsS4mmIAL3QHEuPCaE0XsuMwhYnoxwRyl3F\ndenYa0vUY0JB2hq4AzpfZfBYe2zZHc9XOHqAm1CVjhdSo1OWYU5C4rF5H/FM/9Y2vflN/La1501B\nAZjtZ3ttgzdlxmsUcGnNN1553cLSwoZPGU+4rTeSPcDPlfa5cfm8g+lZ+Z6uOOeLAiYt7dzk0jo9\nlYKA9UyWNhVVZie1WEAKOtYlHY99zofhIsIKl9rDa4Sg3o576Nm2J8ubwiPu/hTfWwA2721PGk9G\n0LNynXy1NOd89mhKAeaaT68kIabH0bapQY3NK5j2JMunAmsQWkJ7WxmSr0DnqwxSqJLTNvC8hxMu\nrc/Jae5WKhBudMIbiuvkhdd4T8s4OOWS+t72lqVm9fheLmITLehTs83+JzySQi9hoRQAPIt/a7F6\n47ZzfNLtJ4+8f1LO7bvrJjTRUkpNTUhvnXJpSuHtumkINMp1TyXV+PPvUyCe/Nxovz4IKTFgTh7S\nKFG03cY9la/LJXFNPYtyzThrcGpr+1K9PSqIyTjj99yz2Vd6Va098tQ8ShLXV4NXT/ElzXP+knS+\nykA6hg6u1ReyqR36NEEbE5TTrF+XZYpcCsMb/LEd3peTlt5NuycDdSQvHgqzVGQM4HFDJC9MD2ye\nxxaEldaNFVALXtJrEH4jfJGWGJUL+ZWOXfUUKumtNTJsxf/TwqbXRYu+bUQaJQkLXOA3Z9y4H5wz\n9iWzUyb8uMEt6Ul5PJh9YwOiQXrT7zlGLEMvJfdvW0dpYT/Cd1IKwzy65Zm6FZ9r4pRCmI7BTiXZ\n5oHXpxMR0hv0vGcsYVI0aSxsvajnJei8lYG03jBSFzw+j52T/lhrwZoQgSeDb2RKQcxMCvNiyoBl\nWrJJk0LgNdKWEKOllNkaFNwpVFKgSetH5H2/ifBC8kJP5Bo8MEjn6+yfYRbm6ucRydc6FiLNCmuW\nKgXxZGVSGbJ/6Z1k5ktSg4dSKZ2CgrItj+WUXdZgKPeLwXgL5CsdH9eeHt6Njg2KfLCqKYLcL5wD\nptZ6vtOjshLm3F5ovU9PWemkSUlyDNjm1j1sTzqWBW0emWpt4c51loqBimDyTk95fFsez0vS+SoD\nuvFNEBEK2hoQLigKSArKJoy96JoVbXqG6zt8+v5T8YLWnnk2JUbIcs3yblakhfqEXaYgJixB158W\nEwX0lRZXvClFBiCdvsc6mxXX5vQ2q7VlJZmHpMkDSsFL4TZZ5q3NnONT66MFH6XutXFdJiTmtZhx\nAJZJRWeB1F5Y38a9ZbHtdPwEdN7DzxxH3tcSQfj7KaJCYSJD81qnvXHKC0hKz4G/53WiATTSbtMm\nlbDrnGISL0F3oQz+C0n/oqRfk/RPHn77kKS/LumPSvq0pG/VPhwsSd8t6S9rz/5fkfTjJ7mjILIl\nn2e2kIy3ewNTAXhDbk0823Z9pMlK9WZoApzlaBkw68S/0cLN9y1MAoOwCPvToIYW6ONCpbIi7/yN\ncA9TCBMu8IK9id+l/Vhl0JOxBvLN84zIi60+CuzbGAht7VAZut6tGEILaOc4plekuCfXIS3jhByo\n8L0WaOg0RZPHXztb5nO4p2Xesf9pBCjKEK59FNdTyDJlnMrtQdwnrcc5DRRp8Yxvk8XHuKHvzfaS\np/SAmrHEujxW9HKyLvLHt5sl361PW7GmO6AP3EEd/6Wkb4rfvkvST0j6E5L+1uF/SfpaSd92+Pwm\nSf/JrXho2KEFktThFFoCXrANl7WieRD3uV26d548aTmB8y0tws4a+iJ+cztN6D8Cf97g6cZTMN5E\nmbRkWyZHs1ha9lW2m8dOf07rDdDG/an2p5+6Lp4PQ/IDY4SprrW42rnhd7jP/fQfhaT5ZFplC8ZN\n/yc/Qnv+zDJP0V7CGNc6HtucCwoP/kZPsWULUVFasaaH6HsTavU7i32qrdfnW7jH82EvxO24LFNV\ns7/mz2cd2Thr7xEgGVpKpdL6wfLt6Gp6Olay6f2QLg79SyXDvgn94v85F5QnbpcxiJu4Lh3LJsXv\nJitZ8+i5f026C2XwP0r6rfjtL0r6wcP3H5T0Lx2+f7OkH9K+K5+W9ClJX19rpcCzAJTWi2cX3yeL\nbRd/jaZ0ON+TioRKghZDCrJ2T3OvyX/LJGpEgdGUTlOQDQLh/VM77J+VWHNjW8DMby5LBbLTsZW1\nxYMp4aVn+NvCT0/hrxy3aY7MSwb+Wa+vp7HSEggmGMb1bPHJ/6m8qRCadU7KeTI/vs/r2QHqFMhc\nU89xT/LegubSuu/NY2tQWzMuWmwxjRtDYdyjlxt/rf0ty9z38K2KpDYuUx8m73WL19eku4CJGn1E\n0nuH7+8d/pekr5D00yj3GUlfWWsgXp3QybSBMthr66YpAbrNpPQMUmhexadw3TCHrRpO0pYbS+jD\nbiMDVtOEJxTCdp9HOfYhYw+NDFHlAm08uHxbwKmIbSURDuHG5VPJqVQbTcFAr53kveHswjW74rTK\n6d7bok7l6/vSlU+owb/xeyqwhEm24lYul15DKn4qcWLU9hLYX6GMeeHR8HmuEiHDFkto/Lbvbq9d\nTyMi+XPQPD1n1u3xyT3qs7Mym4d7fQuiuYhy097iMxnSuj9bSqAZcJ7fO5TgXyhlQHqh5RzI6fox\nffbd/eelpMfvSA/fWa4xgNKwZZeh8OE1ClG+sCQzc9zOhY4tq4b1+p60SFw/P1MRsRwXF/tC4oZ2\n+4l3SvOCscBLK68pOypjj6fbdt20+rlY3T4Fs8ezncfDuc3+sj/+8/HLSW1zcS1slcv2GShv/ZIW\n/DypBfmTJsud63tSCFSUCT3k8wFMdiBZOfNJfxo/V3FPKkfFdcbrsi6TlZKvtaehWxZUm6O296kQ\neR89So9dKh8aV+YrEwemtcLrDQZLyqwtjjWVQHsP9TNJN5+QfvcT0gekd9890dYJeuP1bv88fVzS\nf0z7lqcAACAASURBVKslgPwLkt6R9KuSPirppyT9SS2xg+87fP6YpH9P0s9EfS/01otlMHyYWQrS\nrcwO6djqyFNM8328DXdLaCCtB5fhZkr+Ep/PPghtc9OnQG7KTMHTBN2kVdMOeGOQkH0yZd9yk9k6\ndXtM282D7xL2SetZOlZ2FGQUxNwgtOLSY2gxnLQ8ff0J7vWT78aJnQohLecjcX6pLJN39ptzMnk3\nwu+5nqVj4U4v8yZ+45xSuBDT59rLl7A/1PIWNdP7WhtUjd8mFE8ZR+5b1ss155iHeaOgd5JJw+O5\nH9KrcpsJPabh1JJIWIaprELZ6XkZUhpflk2ZQMN2H0ovfkV64403pFeU63cRM2j0NyT9pcP3vyTp\nR/D7vyzpH5P0xyR9jaT/tdbARZea19qcE9ispsR1EzLKiWjZHl6kzXqbYJ+JXI4WSQuIkVrQ2H3I\nOMc1yruuS5RtGGNTBKf4T6jF/WkC3fw4yJrvdyY8QYs/KRUBqc0jFUQGkXNjN9iG7bofrpufvmfL\nx27QRSpnC7MJYmkeVCqhhE62BM0j7YPFFKAO9nIfTJBFfjfRA2xjlHtmC4Zk3CLbbW1zjE+NY+4B\n7rMGAW/VSUXDOqV1AgT3LNdm8pfrUVqv6YQB74juAib6IUl/XtKHJf2SpH9Xe8v/hyV9u5bUUkn6\n5OH3T2rfle/QBBPRNbJAbm6stB0gmyzzpmhywyelAMt6qGze0vJO4XT9vECmo31z0SVEkpDQVvC1\nQTesl4rAfLk+vr0q+9zgtFRCrjMtTI4Tg5/ZX6kHw3M8SM1LaBahdKxgeF8TpG3+M07U7pmUW8YJ\nmqC6ievpEST/voeQHCmFFokPXzILbHoAzZ9bb1JrHvHLUounsH7pWAFdaZ2O2+C2Fj9i33Id5IF9\nW2NJcjt5VEyOxam1TqjS5fiA4WvSXcFEd00v9FUvjgUVO00Lplm0fBScgoeuc7psubjp2qfbnNaA\neXyk5ZH4tIIbL3SPHTxmTv0WVKJShv1wXSloKaByjFvwkYcEuq/uXxNOHBPDCClIyZvHjePMuWmC\n3G26rvRu2MeENlJR5O/Zrnl0P56grDA2hAnb2mX/G5yT89vgOFrRhOUMl2Q6ZUKOOU+Gia60T8ll\nn7gWE85pEO1WW7637QXF9ZznFp/L35owTMWfgfmt8m63jSF5muBN9p3PaRB64rzSYOGYEDpLmDPm\n5sX/9Xow0V14Bl84ontGqEfq3gAtTiqOXLS3cbHSakyX9xR5srwxtw43c/+y3tZOQlk5Rjkmrrd5\nM/n9VHqn2zlVlgr3Mv53mw1a2qmfXcQMFbbbgqFpXdFFNw85n6YGlfGdu83oaJlZaa03+HGnY2Nk\nysTJOaLVb4/Eay3XHe9PCCSD6ZN3NlnAWzG7hvebpmD4FqUx0RRCKlrvicv4f4rLJeVa4nxm+2yb\nHseW7JhQDrZlyvHyuk4D7TXovJUBLThPZHuJSUIhzLCYDuRqwdKGXXJSdvE/cUGepc7JN6Tjtnxq\nZHot3sBt4TSLhH0zLy0WIB1DbOxXs8RYjrwmL83qa0rWllFu5Hb8sfAbadq03FC5gaSuMPy7+fZ9\nCTEx/ZAKjPwk3/RiMoWQvLUAr3+nQUNKmMHEde/+pEIwJRRK65dj4rnxGVIUqPSOUhFyr/oeCs6c\nx4RoWlKE+0iicUCFn14vaQtOPkUpuK0QpvVl4iGMpi0I8kJrhbWVocY18rLKtdD5KgMuuDy4i0KH\nrrJ0HCxOKGlL8El9UHdapzA2gZfWW+b5e6P6urF43+t+0FV3H+gZtcyU7FcLZOWmbX24KN/T1W8C\njO1PuDytqjwlczr2gYJqEr7XWhQW8WIKCbbVeJ2E5lMtuPNjLRuTsSxCLpyvVMztyONmGUrHc5Oe\nsfeEicbI8/idaZEtuM9P3yOtFYN5tOfG/rpMM1ySUum5Xl9razgNkVQqW4K1wT4Uug1mdLkpqE2e\naeBQEbX289rEO9vk2mpKbII7X5HOVxlI+85m6pjx0XShmlWY/6c7Rmybv0/BwFYP20oemptHbySh\nIU6qJ3lyeRttBQ4bDNWoYaupCPie2Qkv3VK6KRQt0FtZ/58bVvjOGE87jjkFjseJ/OdmexG/WQDT\nWkvvk224Tgtv48XZx60AZK6NJrSbFTztAyqpBsdx7fDgwVZnG7cpZfJUllrWmRY+279NwFZajA5a\nz1ZgXG+51iZFQH6arEk+k5fLuDYpm7a/03NOY/GO6LyVQcMqmdkyCfsr/DF24DND+GJvlTZoDVGo\nWMi1BZlYJOuX1sFFCyRmotBS2oI8kke3QyuvKbm8JwUNf99yt8l/u3/rN3oYFozGyU/BAqYUOPQ0\nfB/rSyXIjKctBfWG1gFWexk8lI0vfifsNs1NClhTs+zaXLFtCnW3nR5OzkF7faXrT8/hlPGRa7QF\noM3zxFNCsPk5wY4mBnFzzDODzfwyPdO/t5NWp4B/lpkEcnrH/C3Xenutr2mq/zYB9Jek81UGnjw+\nrHSl9Rn4tFBboEi4lz19oD65KVBp5VqpENvnJOfk2IJMCzWtbCuEtBQvcN/keudGTeupeQcm8jJZ\nlc2tT2vZ49ReZ+gybVPm/CWuyro4Bukyewz44FOm7DJ4T4Hq8v69WcvT/7Q4/TsVZQo5854xrIRh\nWptZj4nvishx4l5gxpDXMdcGj5hoHre0xA62YCCBH69prvtm4DSorClC/pZ9tpB3Px6Ve0z0ehIW\ntbdO2vK4UlmS16ZM20N8VDoXQzm2bUXm/7eC+C9J56sMpLVAlGZ3swniyd1yvZ54wjZtA7u+pLSi\n2EbmIjfIgkLNmzUVAj2dyQWf4JgG1Zyi2250ttUWs3SsSFJICeXThWYd7DsDnY3XLU+RlHh4Unp/\nW4HHBlvluvVv6QHwPbteG9MYTt6qPwl/kZdLdUHHPZLwKcuQ+IrKaey4rrP/N1orCFL2yXwlPDjF\nXXLPPULZtlYouAkZTZ6LhnomAyuvJy8tOyjjXi7XePgCSO7zVQa25pjl49+JAUrHgSFp23WnwHyO\n676nBZekjvnm/57wFBKpJCjUbtQnOd3fCWLgvbmoXGbLYj+10cxLe0iO/W5wW77jlsHMPB7En+mF\nUGkkD/Qqdurpkjsdp3FmNpHHjlYdr3O8uLGZDJDeUZYRrhue8PqbjIEmJEluIwPH7KPXWq6BtMbZ\nP5Vy+WwP94nnZhf3TV5O7t32XAmpGYKpPJPYRsbTPMf2KqT1/moKj+siDUvywv60Osw7ifDljdao\nAhXiZBTeAZ2vMsiFkQs3J6X1hBssB5KZPML3C63dTArMaQGkJeRFkKmACamw/bRgKOCcyWR+2mYh\npXs6BTjNK68p/nemTva3WXaprK7UN5UXcQaNLRRZF9snj7Scss0t15mbjrwnH1muWZg5BxQIaY03\n646WsgVIwji5vlpwnwrXwq15p/nw01ZqJOeNe4hwXM5LMxay/55T97+tD8eRqAhbtlnbAzQGMmnD\nUBfjP66f/LU9eRtPOxMGJk81ietmMjj9Pes9JQtegs5XGXhQbXElpy0dkC4yI/g5kDtcJ4YrbW9+\n/+5PCjPi322B0xvx/4l/X6GeC+2PtMg6vNAyXsH2bhNMus3izg3f4hn+5OZPvPoUH9J6I7Ev7CsF\n56kA3wQdtkwofnc97ZCU1pcJQpyw58kyd/0T/DhZ2NKc5pmUcTTWQyue9XHPKMqRh6nt9JJ9Tyor\nEwP//iSklR4W2+Z9ivtcZjJMputss3krCeN4L2zNs3R8j2VBU8LNSOP1NDBfkc5XGWxxRkGawj6J\nQqM9iEMPoUE8W25ZWmDtOF+BR1rYed1CPoPTVoR5Dj2tS/appcxNrqqF9ZagcTs8HjgVHr0m94OB\n/vSq/D0DoLQaUzH4iA8Tx2h6ERDhAY/9FARlHVtK0nxurU8eDcHxbV6N34yVSjczUEjZr1z3afEn\nxDB5TZzzhMaogLfuzfFJY4WZVadigjTuWpzHbVEGJAJgOPKp1vuf92SyxjT/qTSlxcOaYnes39Q8\nPY4f0+nTU7FXw7m5g0yiZPm86LEW3I0HaDXohE/5JU4oXONkehK2ntLMbAPi/BPG702aQpDUrMRs\njy555rWzb1wcqXCmdlqbzZJpMEL2aWsTSMepwMzYadCS3xL1RAtsYveeRKw++cjN14QYFRHHwLw5\ntXQXnzRCfA/5ZyZIO4PGQjXH+E3UcROfhpD8G71m13GhY6ViauvQ/ZiMAaEeC2MGyLfgRc+b16Mp\ns8eSR7fJPez6/cwAxy33tNDeDf78wCCz9q6iLuE+/zZ5aayDe573J2WSSTNgjVjQEHobZXfxneP5\n+zq1lMSsizwtMy13L9q22Ll4pP4+Awr8yRKarLYsb2uek0Zqoz+dD8NNntYt30t7G0XQ+pYWT7Mu\nW10c76Qm7C90DNU0eMGHy1Gw5lO39pASDmielz+tZCmwXF/r/wN8ej63slRM3tT5LEITQIQQXSeV\nSoMCPd8p/NvcU4FQ2Cas2uDYNH6SGuw2zQUFYI7/tNfScODBhgmjpMdmueG2UlGklyEdKzqpv2TH\nSn16dmOLsg16emnAmq98R3smdNxBMPl8lYE3Hf+X1hbEBP0kZpuB2WyH8YOtEXG5tJTZbrZNSOsU\nfs57uFAnnDSp4ZfJozZ+azAF62ntTwqR1mjLMpHWm4DCxP2nd2WlSg/tFLX+N69mF5/k83K4Ts/N\nfeD1ZnFnNlmWT77dTgpzr6kUiOST0FCzyDl+p4yUlkXj+1o9TUH53mZUNNhtim94XXBfJc+2sE32\nAlNgNu9e6oo6eck1lQq2vfCnERWZ62mCnWss1/5tYnO3oPNVBlMglkHfJvhcRloL4cSOaUnb8rH1\nuSt1CeWktVbOzIkkThYXTjtqWFpv8GnjtDItiDtBVW63tc+6su38vlW/tHhfxvwZp2iexnSgXmL6\nxoJV6mkY+U2UbRvK9flNUm130LKmgnpL63mgctipH05IfnI82IdJEdhazPRo388YlPuYCo7UFIrw\nW3rSWa4FWn2d40Zisgd/S48+76EXz7eRpWG4BZGS2Edphl2yr+nVUnHSip+SUdJrdh2TDCAsbDqV\nCHJLOl9lYOJialo6g7ZtQWbKVz6pmHVRIeSmTYWQi+haxy6dy3qRp/BsPKelyX5I60wmQhcNi1Rc\na8J/F2VNFCQTndpwadUTezelpct5l46hsdwAaalxE+UTt9JaOKeF+EjLW798fxN60j7r6Fr79za4\nf4aTKBhSACeUQ2uedBHX837p+PWpzdhp85dj3WA9CuuLKEPllsZb7iGPR3rOniuf5ivU2zxSj3GO\nlSG5KQbCcU6jkOR15j4nnGVKAyPHbfL6VMoQ3m7XJ8PpDryB1tx5UgoE0ynh45SvVpfUA1gceF+f\nJndSCLkomgvNRcTvTSEornEDTFBVs6bSsmh4a35PQdnGjDRBSe2YA/KS7WV9yRMt/q3sGMJ/3Pwc\nnweog+PaoIAUxkktWSGNgWkcyC83OK3TxJhvSzutH2DKNi0c6e3kC1WyvlYPP1k2lX56lMyeo/dA\nfF/l92wrBWlbj6cUQVLuq7xnCwrMpIQmy1qQOr0K8821cz2Ue006X2XQjoxOYcgByZ7wHHYPMgfU\nB8RNwtfXKTCyTFq206Ygxt3cb1s0VAjZHwc9r3WccsaxIuWC8n3pVfgz4x/+9MallURPS1orjbd0\nnImVMFmzlNMKY5/ScsoxbK51CnOOmZWivZbn2h+0RkHOQPGF1m9MM1zZrFwK2LbDttz6U4FAPkhp\nPqYYSoNrWvsti615pYln00AgRk4oI9M2J6Kg9v+Tt+Tfc32Yzyz7IMrlb2lspQLKOKXLNsimBYKl\nY5ngvibk3YL12W6D0f7AZBNJ3eLN6w1bzA3BxZxZBhQCFn5pEaQSeoJ6T51+mBvFdTCmwGBXw7XT\nQnd/KNjIM4XTZNkwgyUFzW0pD+WbrJ5UomkpbqXmteMrfG/WR4uYKbqpgHjvMy0Pm+WLA1usyb8r\nfmea4WS55bV81arJ8Qt6OslTrlEqQwq2FOSmnPOWuWSeWQ8TFtp7kndarzEaO+5HvpZ14ouJBrzW\nkjUUv7nNpDQSW0xkizxWafUnZCut9zx5ZLktr5FKIxXBZHS8JJ2vMpisbFobW0StzoByBlabpbqV\n/dP4Ik+Nt8klTUvtGn/2araUnynTIume5/3Jd0ITXJwT1sx2pv+3oIytRd/qoiJrwWBp29p1n55o\n2VRvai1YHhyum6gU+JyH1wotYf/uco0/WrlTYDc9Pj60ltbplPFyoeN5nbJTeH9CKQlppUJIT4yf\nO3VDxp9b6yT/b1k7vp/PmNhIynYnCDEFd76vnMrZPLT4QUtFdRtCWcqHVGykab81hc/674DOVxnY\nXc0FeUo4NkvAg575wt6UXFy2KA3d0FKfzhSSFqu6WfQsx/vbImz9a0I3IRNaHRmT4Gbd6XijTws6\nA9pTEDR5o1Lzb811Zptuq53nlHgyacpmyt/4VLDXkYPIl1rgwM9qfRSFv6eVR6GZ2T0tW8oC2mf+\nM6uM5+WkIs8gMNdY8pT9ZgCcY9c8libQpXmdpGCi4cGgNw0VriePx8QHeSXRE5MWhfBM2+8ZN1EZ\nT2srlQr3U8I4HI+236T1OruK+3zv5B20WAjRhdsax7eg81UGhmlMdvEzs0M6dsloPbgc4wDSeiE2\nly6fcG4H27F98kP3nYtnK6WPbTes0vf78wp/U9wjA4OnUmebcJ/cdt7TIIykxLWp7B9EmS1suQXT\nea1Z5XSxnx7uM/5v3JZQxW9J0u8cCn9Iev9yz6OFfgoKz6vXll/X+kzH2W5MJOCaJs8JxbAN/0Z+\nG7zBNZhP6Gc8p92bkOSW59sojYLMBEuFmVBLa6d5e4RBt4hQqPnxXPqlVzfaZ4XdqK/njAeYD/KQ\n42vKvdOy/ZLX9OyaQelyk7f9EnS+ykDqLt8Wx20jSB0GuVSfELrLj7QWLnYTubAza0CahVmz8N0n\nHs1NqzHragJ3ai+tj7R+cpOmkvWGaGV4b8uCIW4+4bh8aCstvrSeaQHlUcq+TgPA/aCgf4b+WEBa\n4D3QPvBtgXD9VHuFcCXpYwuvFhzSfs5sLWYAz21k3nrGHlje1IRbCkkKw7w/qWWgTZRrYCIbVukp\nZhsNimxt8jOVVVLjL+FfE9fQVjzKe5DEbLTMYMs9YJmSENg1Pj3vzdpPeZUKeqf1nm179TXpfJXB\nhfa4LgemBWbaAvTvzXoUyvPpZVpIDIYRP+URw75Gizc9hHaS4BYc5EneaW2FcEGnd5DUFjzd4RyX\nLJ+BwJbBY/7tml9rCbjSe3OZ9I7SGqSlxnGZjiFpfDf++J2bSVoH2h8f/t7U/iyYa0m/9EFJ72mv\nGS6lJx/Z8/e2ljl4Iuk3tKwRZr8917FwsZJkML1hx831T0PFv6Ww5Vpxf1NItSC06zM1r8vUDKBG\nbp9eQHoouQ9aXI9jkcc/JFxkXhM5YHnCMldakkCkxUhsc9P6mwkqfH6Fx86387XMq/lI8jgRgiRN\nfXxFOl9lIB27krT2aNXlGeAtmJiWpxfqFCzmQibR0sugc2YKuRzdZV7nZ8IbrJf80bIkDNBcyFQg\nFBwNWmNZabbo0oKzImgxBf/Pdx5PAc22aWn5tg1DASMd15GCgw8EPtE+JvC+9l7BHz58fkTSk0fS\nb31c0s9L+k3pxUf29zhtlllkhiBT0XhcHmo5iG4rY4p9Il1o7VmwXM4RreDJUJrqIU0el4lwbfM8\nmnCiImiY/PSdQess43qbkZg8Ne/qc1oeeHuk+WVIrS/8boPAhhyJ6yIpYzkmr1MaSIlwUFnmcfev\nQOetDL5QtKVFE4e/LUZKSz0XRCoACraWPcENs5VzbErsNflyvQ1imvBNWnTtuutucJt5crtup7ns\n5HdKm3X5zCRqYzHBHP6tpU5eax8n8Ji/Leljkt7/oHT9wQNjvyM9++BSBzcoPVda5ZkdRD6kvvvs\nITVKiGiitMRJuQZuAy80BdvgEP5PoqDcokkwSh2C2dpjimsq11of2ppSXGt9MdT5TGteeM+WoaLy\nfwa3XQfhJ5e7gyDyP1rKgK7dRAmJpJA2NauKlHGBCd/NDe8F4Tak9YJgm1wgDQa5xF+Da9KiSxiB\nvKb1OHkCaYE3JcPNwGM2LMwZa2AQLK071m1+2tOvVgKZaeRr2b+J3J4tbVuA/v3/ObRxJemrJP0z\nkv6XPyXpM5J+R/rsB5djJxwPcMCRsQn3NR9sIpSUAWET10oer5AB1NuQ58q80Ciwwspzn5qX1mAr\nl8+2SK6PVnmLBRKaaZ4O25z+d3vNGyDxjWdsj8F+ZhSyHqaz3miNFHhsOcfeBxfqL7pvqIX75v95\n+ioD4KcO1nxJOl9lkG5sW2RJO60xfQ/aFHRtAqQJsa3c36ZoMvOoWU2Jz7bjg7PeK60DzW6bR1iz\nja2AGeskbznWzQJKmo47SCucFmXGa5KHbL8JhSYkucHb3Hk9mOedDtlDh8F9/9E+e0iS/oikr5P0\nCx/bj/v72qeePtdeP3xGCxy00x5mshBhzICKgPARrezWT/eR8AMP55seksosMt/fIDPvF78/IqHZ\npghO5fIz+YFrioYaycKS1n6uw2m/01rOjKdULL4n++I9/1z7cTBk9JbWSQCOIbTMOGmBAmkQuizb\npcGTZ0lJi0GyFbdJA2Irk++W9MVSBt8k6T/Uvvv/maTvr6W8kKZsiAY1SDNkktf9PXFMf1oLt6Ac\n7yU1WCAt+GbZu64WZMr7GYx1m6Y8woN8MSjW8NcUspPLTB5YjnCJ+UsvhIue1lITOqTkl/0jpp6U\nis2bjGP9SNJTm3S/uS/wqS+RPvUh6c9I+nOSflnL4Yb/UNKntVcOb2gPKX1Ee+VxdSj7WS3PFKSB\nQX5yTNxHwgFc/zQGkjL4SrrWEoxkO/Q6belm4HZ6D3Xyy/+bUqPga/vCwvsafy3oTiJPLQtp8jTI\nLw2xz2lBFLhG/AAg5YA/vaaSN//vMWfszvemInD8acs7a97FP6LHUVxI+o8lfaP22+ZnJf0N7SN1\nM9EKnoJPLJfYcf7fFnCmpArfubiyDNt1W5y4dL0nHL5lV2TdjZr7fEohnqrDtAXDTO48KYUTx2AL\n9kmeJsuweTHczP6dY5IQ1WqMrBB+R9Ij6e98g/SOpD+r/Yb7sBbr8an2cNLHDr9fH6599vCXylFa\nB9tbP0leD1RgTeD5e1MSzVDieGytybyf635ak+Qx40mZEpkeOHlsHn3W19bclGVnSkVFz4Vr1dj/\nAy2Clk+osw23OY2h6/dYOkvS10jP1PdaenUeIxt5t4UNN+iLoQy+XtKntLetJOm/lvTN2lIGab3k\nImlu5xY81O6bAqkmZxzY7csMngxmJeXpjFmWgiytJ5L75MPVWI8FwrQ4Mk5A99x1TO1Nm8ybpsUh\nWn3uE8cvH/qS1vgqBVhaUyn0SRxTtknoRCpPrj7Vfjm+L734ZemnvkX6bulPf+//rC/Te/rR//5b\npB/RfhX/+qH4p7Qogt+K6l5ofdZRxp+4Vtub/DIVlN85L7m+pkAyLU9av7bC6a1NY5u8NEgmDTNb\nvROs6HryveRsy/yZX87xZKE3+HSKAVr5MoXVCsFQ0gSlnjLAuHbJL+d/MipJDVG4A/piKIOvlPRL\n+P8zkr7hqFTDCzNAKa0XYWr8xI1d55XWgov1N8pJdgqaF15q+WZtmW9/bxa3vzelQbIV0jaUoZmH\nWvOdi38rMN3uuQ1NB8ER9miubnoAExSQudYNJmOd3igWfnxYjcYFj5/4PFj8oUMFhyeRd4/0Y/om\nffibnuj7fuzf0nc/+Q+kH5X0qb+vRcJ9RGsJecAHmiKY5iSNgfYuBt6TXk56HM2DzbiA77VioLHD\ntczyaWi1pIiEBF3GUFfLGHJdaUikcJ7iYbkX0+CzMOe4UhDvtD5jKk9GbWMnHRszWXdTyowt3Iam\nzLU7oi+GMnhxuoik335X+v90GMR3pDfeWQa8eQdJDEjlJpso09VyQbXNQ0FDZaP4PuHD2U5OspUI\n8f6JJ1Mbm/SutmgaoyYAUvinNd4sKVN6b1SY/p8egHQ8tpxbtkuhn9g7+//51cgjbB9piQR/TPrq\nR9KfkS4ON76nj0h/W9Knnkr6scP9XybpT2mvED6olSJoAViuhwmy8rVmsEwww/RbozwTie2yrpwX\n90GajYlWlpSw4VZZzi+zc6ZY4vQb10E+Ec4yvN8KIfcuM49OrdHGm+e2eVTtNyoVGrP6hPT0E9KN\n9O67pa2XoC+GMvhl7ZFW01dp7x2s6Uvf3bvdqTk98G2QT2WQ+H5CMGmJpmWTG+Na+8XBM/t93o2z\ngph+ZqL7myl0p+Aqtp0xE15rm5Z18r0HPFgvU+waH81boZXvdwE0Ae9PBgKF+tJaYt1NOBBCIsTE\nuU1K/P7IJHm0F9xvS3r7kfT4g8tYvy3pJ6V//Bv/gf65H/sf9HP6ukN9doXe1z7O8L72iuBDCz9+\nGCiFB4OpE5xmamuU9/j/nLNUNAn5cWz5nuSXpRbsTP7piU6etHk7FX9qxFTh5GlaD00RZkbSjZbD\nKu01SV1yJprRhHwqsOahJ1qQMRjO3+6d/d/DvTL4nu/5nsLY7eiLoQz+tqSvkfRxSb8i6dsk/Stj\naQqY1OAN1rjUMebITIDJElDc0yAdehvOVTZ04cyR9CaozChwG7QlLRNNt5gWuBdDwgHmd4IVvOh5\nAJ83RIOLTmGR3Gj2ji4O/7+pZZwfaz0m08ZsAbkG9RFKc51JVhD0TnivtEA3PJX045I+qr3w32n/\n3MHf017G/6z05LMf1o9+/FsW0+UvSPqpf1X7+AJPQTzQIy3vfvbccw2mQCclxEbP1msuDYoUIrwn\nx2Rqi9Q86Ql336Ipwyl5cJlc3/69eSfpITOYy3x/ExWwif2YPJPrKPtAa6PEa5/7lHwlhJfkEmJU\n4wAAIABJREFUOEp6TDn+CS3eoQT/YiiDa0n/hqS/qX3X/nO14LGFcGLLWxxbEbRFmm+IonuXgtkK\nyO5kuvNWBtJikeQLOtwW0+X4/0ST+5xlWqbFtHBaWQaft1z9U3BcbhKThVYG29N7aXOaWDj5yFiP\nN9Aurid/btPBXCrBS+0V2FsHnq+1Tx99T0sw+Pnht89qv1ovtY9+/bEPSv/3N2jvGfy/WnCry0WI\n0KL0GJA3Ci32ueHTLdaloQz/p1FzrfUaTMOCPLb6yN9ELyNZdsMn+dm6L8u0BIrmobJ8lpOOlU+u\n9dbHts859o3n7HeOayp5l3sVL26DvhjKQNqH3n50swRTrNpiZfaKiYPOjZSbzmVz4mh9prCZeJQW\nq8sBKgtaWjjNInNbtBobf03QXeG3tpgoNLgAKTyvNVt4DXaQjjNvmoI1UYAnlt+8hFMxDfavCZAM\nyru9bOdCC8LjB4UeaT+f72nfx/e0pBK+pb3X8Jb2XsIvaq9UPq39cwhfLunXP7R/LkFXhwp2+2cX\n8gFE85NCoSUS8L52bYsI/aVwZAKCLVYGdNMTORUf4Lzb22xEvD/jTSR6mryXPKSR0uDkRBQIzaTC\nmZSHv6d34DHjmVvksUHArb/06MkL9/6Wpz9dfwX6YimD05SbODOI+PYpDp4FMS3CLUuDi8ptEN/n\nxs1NIy0ZKhYuXiBt006uH610LjRayOSB/GZ9FAAZW0lhS49m2uitPVMueFpd19pb0RM0YSW2tfDT\nimsuuceccMvWxpb6KZBP1fHmt7R/juBj2gv9z/P3mX35v/cx6U9qiYK9d7k8wSwdjsMufTGvDQoy\nXURZfvL6JBDYjzw1My1gr3vydKEl5tGgVfKbWPvWukn+WSf3Lx84S35bnTlGzRtrBhePnWhjtBV/\naAZaUpt3l09jcapjyxO8IzpfZSCtB8cLwo+Kt/Sy9r4Bae0em9JNbnAI0zOl4+NzvRm8WJj37OcA\nmutLSuHVzhtpLmW6+tJ6Q55KvWP5pC1rpmHLLnebjUFraqLGf3oS3NzN88l7+T0FW1NGVpTOMedb\n8B5Lev9LJL0n/dZT6dOP9p7DHzncy/OOLGz4FOptdt00h00oU2BSmGf5TGgwNaFpehmhk7i322zx\nsQZ3pcC1l5Geh1Bnep+ZCprWc+5zGxOMReV4mAfLl7ZemtwxXxPUSpgyDYOkppjumM5XGdxobaFY\nEeRRrVwAtoilbnXkoqJl084GSreZiyCFylX87sXJJxm5wacJ919aie7b1gt2yLO/N4Gfln/DKtkH\n8zOdhTOtorYJpgBZg3mSvCFTCJpO4ctUII77EOrL1xMSIuF6+bCk9z+kPZb089I//Or9iaZ/XPv1\n+VHtISZ7BdzATGts/NLA4P/N+rcVPUGFTWg1BWKi4cX15rOvcp45nhnvaBlQLJtttnqZOdcMuQla\no6Kw8eg6mjfq8ckn4umNu840CAk5bvWpzflkMKXhM9EdS+/zVQbXWj+p2KAQunh0xUlcJFxczTr1\ng2RSP2EwKYWwX7j+UHuhYKHiOEJaN6Y2C00huB223+IqW5sklWDb5MSS/f8qtzn4bFYXN+CE83oc\n8s1opiawfJ89MW/4rJOU1tuNFkHNfjBdmAfNeZ35MLeH2gehX3xI+8DBp6Xf+hrpvUd7RfFhLS/M\n8SswKYDyjPrkOQWVKeM/FIo5p5l8cYlPzwfxalrjV1qn3m7FMEwThCgt8Qvz0DwY1p0eZlrrXCs0\neOy5PcX/jW8qhBx7G283OoZQm+fjOTG0nErLsQQqouYtpUHGeU5v1b/7t9/3MYMtWMWf7UAnaR3I\nSXc7Fxwtt8y1TojqNrxdaUmtvNA+5dRWKK0885BW8KSAJlfT/ZiCr1seSIPPWtmGU2dbudEpnFr8\nwmPljZJvqqIiYJ0N/ph4TbJibvd5PLzh06p9rn0MxPRQ0tMPav9cgSQ9lT77aK+Y3tY6cPzscO/V\nUvTonQW5NiZsuhlFTRhkxpjvvdaxQvDvN/jkGUr0EF0P90ZbexTYuTaelvJ53xY1wycNoy2Pown0\nDKBLx16APaQ89ru1wf3OMSbPbjvnlDKuHUDHfZt77TXofJVBDrg1ZNPmaZ1y0Wb2iwcu8+2faM5j\nbhtQWlsPpHRjKfhcR6vPApOWiHRscaRF1bJopjFKrJiLNDe97/Pf0Rk+hdIVp6DI4F0SBT//V/zO\ndlg34RKTNyV59wPG9Exa4NBCxcKcAvtNSU8faZ9fesgeel/L2tpFnfY6rZBS8OQ6S6PlUsdp0wm3\npAXtXHhfT7LwzzOueDb/TscCKylxf45fM2KaJ98Mi4w9EGOXji11ClJa40mTgUSZkwaQjRMqccOM\nTCARPlNQu8ykxKd4XBJREdPv6zed0dVtAmrCIFsZ0lYWAttNC57ULHpbFt7otjKlxaJIfhsvmUVE\nAdAsC+G3Bqm5/WmMXPeUAdXaIUyXc0Mr0PUSB7/QWnD7esZchPqFMtdR3hg8Y0vS4jX65TPSMvZt\nPHgf20vrmq8jfEv7t6F93jvQkkFl79Dt5utPG6zTUhOl08KYioVelfm9wZ9pgvzy+22F6db1FpBl\nOa+HXH/57gau8WmdkaYxax4YeSFNiiNhIXt73OeWQVaopgaXthjLbijj9cMxuAOo6HyVgSlhh+kl\nMKSGlUrLRrH7d6P1oqClSculYZ2JaxoKSrJguE0Mwm3YCm+Ybgsc5+LKhZFYM62rhNn8/UH8n1go\niWOVG61lkPD/dsBX44mbJa1QKhvCSXwpCS3rR7jPxPul41hU8uP/39AaX3+hBRJiCiv7+QyftKLb\nut6yrJslSd5y7ac1Tk9xK0tlEkoJUTY+802AFGIsx+/MHKQib3soefNvuXez7yx/KvuwKQp7JXzO\ngO2nsmop3hPExvuSOL8uMxl7L0nnrwyk4wlvXCcGmPcxfnDKgtjaFDm5V3Hdn94EpzJemuDzYiJk\nlN4Q8dFTszil+jXvaRoLuuINt+fG4ThsLdKWFTRZRxT00jpwl+1zzCbru3mDbpuvF8zxIH9PtT6e\n2krBHgW9EEKKVvYcf3pGwm+mFExWeKTk9RS0k0Rj5jZ7jnVxzKV1jGMSwll3a4cGj98Axna5J2w0\nUcFOxLUk9YA3eU1PyZ/52lcSM9OkteDPpAbShGq0a1se3EvS+SoDL3ZObpugyY3blTJbblgKhHTl\n09WdAlRphUrHFhwXRS7KfDiI5amI0spOIcL3J/CERmaVmN/nOt78QtnMfmgKgfAN+57Ks80pFVp6\nVxTuJmKvl0OZjI8ksb8pqG60wEVX2sNB11qgACpp03T2T1PW9nCJ/U5rOdN5KURanCw9v+xrwkXJ\nVz6lf1tqMMikCDKf/lrrPWvPfVJuhAhb/IAeJGNDzctLhesyfKlNxi4pWxyXYcpzKiy+T7l5GQxe\ns69N6Of3O6TzVQaJAVJopDtoInyQE7412Ok6N+s986gT928b0/e6P+SlwS/ZDwarKGxZb2LEp4JQ\nzZLY6fj8+gdRLhdyBr7Zf8JDzbJORctyqXimICSpBdRv4zbnSaKEEm60WPrMKjHMYWH+Pup4iHqu\n4t5073Per7Vuh5RjSAGY5dgXnnmUnt1z3MP788UzhP4otKksaWA0fmlg2etqfcsxoWG0w3eunWaN\nu80b7RNDcq2yrMcmDU23ObVjMtTMd183fpjyaoODe7fFTNIQbXuRsOZr0vkqg8SaM7OHAqVBNwzE\nJlEg5qmivE5KOIgbekply2wi/5bKqrVHyz0DhP7e7pHWG5iKbiujhDS5nlQGaQnmvLR6mgB0fY0m\nCKx5eltZUq0OvujGdfKeZhSwXgun7O8kQNo6Y72NqAhbZo3bbPAK137CEgLf15qPqdiiBn/kfJ0y\nyibLP8d9iju1vc0xmxIt2volDwlb8XmDlANt79DI4O/0AHLOtnhmXQ1io/H1GnS+ymCarCm4k9Rc\nu8nqakIu4ws3Ot60qRSs7X1sMa35tgn4cnO+dDwVzeWhPzzmgNQ8llRQKRhSiNjlbZZawlSm9vpC\n19usf1LbVGmZmife42sMvuZhcIr/m6KiJ5TtXGo5lG6y1i60HjPCSKYb7Z8zyXtNDKA3b+aUgKcQ\ndz+eRbmESNLTOqWQt6gZQRMEMykB97slRmR95t/1NUWcwj49AsJkaTRIx+vNdTeFkGufa/d9LXAW\nkxYyZZ68ZN/obZLY76099pJ0vsogB9/wgweXVlm6SLkRmgZ23Xm9BXO2PAZSczWnMtLs5vt7QgcO\nojVXNoUJlUpbvA0/PQWtbI1TLsrmhViY07Jtb9uiciCunhkbbW68mVm2vbgl140FDYX9Wzp+g93k\nqfjP78rOfjeeKQAmy++qlHXfvDZy3vJ/Cg6P/SMtRsZ0X97f/qcAbJ74RXwmJeTFujJrbOKzeaMu\n1+BcKoRmfLF8SxAhb02BW+DTeLEHlvsylZO9h0kBNISi8fEKdL7K4EIz1p8LqwUl24A2Ypm0Ilrq\nZgpQfqc7PtXt+rwRm4Bu9eZCyPqlvnBPLapsr8ESXqA57oTj2O5OfTOxPpdr1i03kHlNjJsKMPtK\nd5wCPxMIyHODbjJISx79vc3NlgHRlPZEGR+61PHaMQ+ZSeNxzLIZC8r3cCS1td94Zixsy/hqQivn\nj0dYJ/TLctK8f1jO40CyEG5GTHpPLS7RIGlSs+iTL/ORbZtnaYmbUPA3hXsHkvx8lUHDxi/iWnP/\nfTBVg2dehQcvyOll7+mOGk5qAoZ8+vWYzFOW+mKm65+WTLZDIfgI5XdaP3Hd2nF/dpo3nMkbYHq2\nIvOwM9XQ5XIFJpbvPpln9jcf8slsDvOdx5qnF5JeQfKUm9DKiVlbVJYJvZDHhCa2An8ZDL3UIvQf\najkew3P6OO53O7k+mAxBD7sJmRTg6Xm1fdasdPYneSSv9q7cR8K1hMaybp5HtJVpZ/KaSO/K/Uiv\nvXkClA8ZEN7KCOT6u4h703v1ve1p9teRbYXOVxlYm9MlTpfI/z/WelJTmLXzaBrlIvJEMZiYLt50\nb/7OjBILZisELiYKavaZ1y5wn+K6eWxxFl8TynIsU8koyiYea9gqy/P/XOzkqSlX5vfzYZqH8enr\n7IO0Fvy0VrmZUynw5UTuZ/aDwsrfb7SGAlinqaUnmiZYJdd3zjV/5/EJT7TfC6novN5cf0KPuSYm\nyz4Pbst90OCk5g00qUPFQs/QPHsdJY5P3n0v13/zjPO7FVAqfe817kev4wkOM3E/JVxJvlPht/vT\nGHLffRzGc92JYjhfZWCiIKab6/8TbkiL1zhvLtS0ZHJyklxPWq62VrKNtMio2HKxE9aYUtgaNYhG\nWi9g8+EgFi1RWrIp9FifUM7ttjGVlnGa7m3QWwpu0qkVmpZaU9RbdXisWiCTNMEjU52NcsMajpjg\n0CybfNgooEIw/9M5RlyD2UY+8ZuGAsn3n1qvLfHCdbqeLM8yOS9NYDrNN9d/8xqlbn17PWe8R6Ws\n6yRtwUpZR3oJCv7Ir6/ncRe81vbhK9D5KoO0tkyEYRRlcvJtIdBy2Ro41+tNkYIlX5zR2r9W32y0\n6DOg2dxKUwpR8u9AILFhaS1Ud1pnEGUGUMNks53Gj+ueXgxOHpO22qGSYbkmqLesIfb/gdabPD0w\nf6aQaCmTzSp8I8q1PtND8nxk5pEpj64wHxlkpbBu/WmUxojLUtBM3iGPcfFvpxR4Qh+5d3MtbmVY\nXWi91mgpP8bv6a3x+9ZDdZ67pvzaby3243iHPVS+I8MyqRkq5n8rCN88L47Xa9L5KgOpW738Pa3Y\ntCJy8JjK2QQ1oYctuozPbIsL51rH1vibOnYLeV4OBZF0vOG8CLKdFFS+njBRutaun5BPOw/pQakj\nsdYkwhTeJAx4klqAmtTGu1nKO63hooQTkgzHpbczWan+P3li/dleejCKcm1DTwqJCsIChgfouUzb\n3c2yZJ8utD7tVFrWr98TLa2FVvMSmwdo4tylojjlaSR0Ii0vjspTWlu2ldvI+WzZcfyU+hzlnk3v\nnwqGCouUeyFlmvmWeozpVdKCC523MpC2MVUKK6b9XZb7WDYDvNxozYs4Ndi5GTLwxXrNf8smSprO\n3m/phEK9aSGyTxScwu/M4LjUug3W2yymxiM3ievweDiQbauJG5ExlrSEW3vphfl+endbGRlWUKk0\n7a1xveQ6acqL0EkqmKY4CHWaMj7GVEa3k+upzUMqE8JS7OckBXLtPsE1Q4/8n5SxHhpFU9ZSy0i6\nTcyBc5EoAuVA9jX/pwJhH9guFbK0HmPu9zSmrLDTK2poBeG6DGjvtLwwyf+nl/mKdP7KQOpalteo\nHNItTfL901OFbiehgymWQP4oBLxZLByaG29IxQuwwQYpLFqGEuukRdoUjetz/ak4E+NtHhT5M00W\nYGYT8VoGgJnWlwJyC05q15vBoPI9798Srmw7FTIzXTiG6YVtYctpeaaXQqHXvJT8zvNyOKbNkmd7\n6Z0m5Lll9bc6byNlJm8+25jWf/N+mZjBunJdZd9SgZC/VB6Tokpl6fXe9k8qbFLzIpmMcod0vsqA\nh6tRoBD6aNBEWtMMqL250Z4nNhdHE4wTFCD8n5am1A+hM5lvPqlIb6d5J4md5u+8noKTgqEFl7Os\nicFjvosgIZx2MBchMul4k1Jg5Tk//pxy1dk2eXU7LVvLfOWcUGCmEMixpCdAHnKuKZgIWz3VOtPI\n72J2PZMVvQV7mS8q+vSO6LlNmDohlf+/vbONuWw96/p/+jxP54wzR46kkdoXA4k1WjUoTUpiMNSQ\n4oEYCjGE+IEE4VsTINEotHzwEEI0EEEwAU2M4SW2higxECpSDBP9IG2itJSXSg9YpIcAATlw5jBz\n+uxh/LD2P+u3/vt/r/3MPM85s1v3lezsvde6131f6365Xv7Xte4l7fdCGk9tPKRxNt5IIl1kzHPN\ncYM4t+lyp9rdX6m1kUYE5x+t9YsI5nwgMa/L1G7CYQwge1y9zX3bCeAR6LCVQaaTNUo4Qhpr2hzs\ndJdNKTA4SGxT+B5lO7huYoktdsHtKNjuGkSVXkATVD4/ulf+H7nYa0LACiFhkxZYpNBPiIw8WGjZ\nrfYitMKkFU6+R8LT5zhmTielQpTmAOUG/y04OP6Gke5s+eE7DdKrbDAY62GyAr1Weq+jeUAB1QwH\nB12l3Y35WIe0HuwfwYSMIZiP0VwbKbDkl3BlM3KaQeA1xbfW3ddSIfDFUykb0rtiDCB5tQDm/eSY\nu/2TOJ6evucgFVP2MeG6NFzaOntEOlxlkNZoupHMPSa1AZSWVqgHuwWs2oQ3JdTTFMHIjfU1LueJ\n6PsgrHHRUcn21wR+8mcBSP5Gwpw4qK8lD1nHyIqj0Mm2s94UHDnpKXiyv3yfo3RNKpyEfFoWmTF8\n852KaOSlcs5ZoKeAax6k7+1EXcikhcq20/IcZUg1asKc64HKhv2UdewjroM2/5qX0OZ6W8un6spC\nKOu62li4LfZdIgGNWGcqBN9TepkZo8r2Rh6nZYY9giuS4oerDHLARkLeZUfZAKSGmzaIg5SCNnts\nZPWNYhEs5wmwhlHTGmAftL5oAfHG8z5XnPfahDEXlMtwkzZaXc1jYBnfU8PSKXQthJsHyHsypJQL\nON8G1axUCmC+39b1OluFcSfzlBBbPnuSnqXbTsyb/e2yGy3H22Vzw7OGXzsH39cx9kCrnzSKRSQG\nThgjy6dAPy3lWspkGhPp9TWDK18/uYljnGtpnHFeMIC9FldyO5n3P7qGCMHIADHlA2TpSZh4T/ti\nXBekw1UGuYe8aRR44RYUOWlZnhNxlL+b13oCjhTCPuLA+b+0nDwpXCkARoquWZX7gq8Z9GzH+ZtW\nr6EStslFl8KNSiEhLB8zEdO2YBvxnbxnuVSUbdsL7vXvOkbWve8lBQXnA/Fjttfum3w3I+ciCzzv\nM7Fy1s92CCkyftG8PfaRPSPz5+/0DNOjZ52KcrnHf47jCGY0NeFrYco+pEdLASrNc+0U11PppIyw\nlziSHfv20OK1HPvmiTY4yW0yzvFp7xlIuy77SDikxZXuFrVzampm7TCI3HgZZSo1a2WEv7YgKP+P\n2pZ2ra2HpbUg3BpuTIVA/lKBUTiaV8Z+2FbrRy4CK4cWaMxMqzV+T0pZ3kPmotNYaMpWqDvbyN+k\n5m1JPX24GTOt3uzXBnPcV18/hCLaVhyj8VmDQS/KF4835Z2ZU6msmgJNZea1OhpD8n4RaIvl2/81\n5ML8kUcqZv5XlGt9QMV0WZkAetUlrv1KSb+o6TY+L869S9LHJH1U0hfj+FskfWR77nv2tuA9/F/U\n7BL7dXS2LLgZW9Kog0Y4uTQLqpHAMl88b2FyQ0ue1siTJxcf224wAvfRaZP8PK7JMs0KbHi0ydbH\nLc3e1wvbj7MZLDjTyrZV9qTmLBlbpPe1hGHMJ7NrmhBzHySenlgw753GQXqZ5jXr8MvsvdWzrz/H\nNew7xn5G8/FcM4xxV3O+eL6ngnXkXM/5lTEn9+sdTevG72RI6GwEO7hffd+uzwH/lzQrMAdsyWeb\nb6TmSaR3kmVczvMn5xnnfD5t3tY65w3lC2ND0nJ9pqXu61MO5LME0q6BxfE4125gP6GktdhGvhf6\nEnQZffIRSV8h6V/F8TdL+qrt9+sl/bSkN2nKt/h+SV8n6YOS3ifpaUk/WWvnBCS3noBpfeQEGll0\n7tg17L1BEKmtWWZtozN6HNIyk4Z1c4OxFIIjvJtl17KOkkawhYltp3DzBEzB4kW4lt2QcQePQwYO\nFeXIi/C7jeFa8HoUVORv/ud7igkx5qpx+8xkIf+0GhOOysVPYr+kZ8Z6Rv1mIZPChvOU98fnXKio\n2wZrro/em8fK+fQjiJBQFQ2X5iGwLRsYec8kjrH55kOFbpNrzfeahmWu/SYtR/PN/WEPjdfn/mZr\nqAKvJR83tFyHa17/BekyyuCjg+PvkPReTbfxcUnPSvp8Sb+uyUb84LbcD0n6co2UQeOSrjsx3BSO\npGb5j7yIhuGvEdseZdHQFW3ZS8mX6xu5wU05jerK60f4LgO5jZpVYnJ97bkQC6RRYC4VQkI1m7im\nLZIk3kdma7R7WEtKaLCkv0fZUCM4Kv9nNpzvf83KI0/7Apz0hihE8hmHvD6hJWk8lxrRsm6WdJKP\nNYOGnh3vgW20+jIuNhqnNSK86D70eNEDbPUk/OxjWXY0n7OfRhAS1/QdXZquAGnaoddJ+ln8/4Qm\nD+F8+9v03Pb4mDNu3ZsWKq3rEXY8IuckrwnWdswTgYvECopZMvy2knkx+G/W5UbTQ1mtbd9jZtTQ\nwnE9ijJpCZG/EbF8WpR2wylMGAD2uLVN1ihM06JP4ZGvcEy+08JtxD2fRkRF5HK5oZn70Pfndkm0\ndqnEUqi2YKDi29BH9omJUEbmz/t8Zsl4rnKPKXrf6b1wfTRLvMFkJs6Zl7R8+MuUxhwFbCr1VLI5\nn7OvDXnxnPlKb5NjnwZL9r37mEgAvTBprNRcX1OuzRjjdckTZc9ddUX7kLRPhL5f0mvL8XdL+vHL\nN79Cf/DM/Pv0bduPxtatidZVTra1QNLI2mhaOfd1Z1olB5SYtMudaX4S+gRlOAk50dogexGT9nkl\nLWjtuvxpr5ZsgW3DJwyIpzvssTKfvneeS2s9IQx+J2VWyKhM8t4sa8ZtzuKb/CW23bzO/E1hQ0qh\nk5Yxg6j5kqK8h/Qmb8Rx1tmgj1xTmzjm2AnHNOdlPgXbrOAGv/p3WryORSXUNLKucz1wnDbxbUpD\nU+pKayQ3OG/IG2N6oxgS33NhGXEvzjXDjvd0JumTt6XT25KkZ54Z8HlB2qcM3v4IdT4n6Y34/wZN\nHsFz2988/tywlpvP7MIFa0ogF0jDp6WennaGMu7kxO2b90GBsQYJJL/3tfvCksYbrZ81F7ull6Wl\nNKLRDEhIgf1Pq8RtsX/y+YAMkp9GmezbBik1Si+MbSTenOPRMpJYX7MOs0/I60bjrUZSKJlPWr4W\nODkH6Ekl33l8g//pWfv8aEuUNBjavLCFnryPMvBI2QejPvHx3HittSvNc5/9kAqE4085kd68jZ/m\nseQ17X5yHlMRtJiIKY2IpjxSDtm7u/m26XM+KYNv/dZvHTSynx4GXFmja/j9Y5LeI+m7NMFAb9IU\nJ3gg6Q81xQ8+KOmrJX3vaq2jVwI2a2GEeeeg5punuPBpEXLQ15QJreOR8PJib9CA21iDPGglZ2xi\nnyIg77mAhfOnWj6rIRxn/46EljQLGkJGXlwpnMlDBiBHiiAXL+trytgWV/YZLTkqJt6riYKTewbR\n4xt5da4zyzRKnN1wID8UEvTESE1YmtxHbWdOzmNDLISP/IwJx9TnRkYMiYqK90O+/DuD8CNlzn5+\nUrvvCWGdefx+HPecTIud/cw5Kl3svpPSqHL99LZGCpOKJT2tK6DLKIOv0CTMXyPpJyT9nKQvkfRL\nkn5k+72R9E7NO7e8U9IPaBI779Na8JiDkYJD6pZIeg68OwpjDzoHZrTvjTMY1vLH0/0lz02w+PV5\nT2h3QtECIB7LNhL3X3uPbrOKnO7pupPYx1QE6Z2Rd+6tQmw6914xNVd8ow5VpaJMpZTW30UDn80C\nO41vae4DPhNgheKyNAasEEaGg4n3wGvY3yMFQmVEz4Kei+txZh6JwryldjaIwm05ruWgZXtvACEl\n88JzrJt9TcuYx9uePDnOHoc2R0aKgLykx+v5SAufaaujmJA0x3FuoYzXDzfezNgi6/VxvuznZaRr\n+4s8FnqgP/VgXRmkpZcDnDtGSn2XQQqfxPxMDVpSaZOUC7tlICTm7TruavdFM2ybgjT5ZF+kICU9\npd2dQR3oa223dy/Q/aWwuak5T9/kNDhOdPeHU2fvacqLb+9BPo96eK7tmU9qWUp3cIy4vFAmPc4n\n8GF/jeYPvTbX1cabRgrv0UQeNqV8QioJ7T2vuf+e1HLM3I95/I52N39zrOsM50ewjalpW1lZAAAg\nAElEQVRh8Blza2t3BJWwvpF8yPnf4kAvlWtzfnDMRjJh33q7pXkdvKilUZHri95Bro1mpISCf/Cb\n0rVr16RHlOtXBRNdPdlStHu5Dz9mqp61ewrezCIaEV3aETXYIyl5TjyQbnlzmVl/ts1ya/vgS7vw\nz4isCBL7lJbjkcfpaaWllbxxMXCsDE3Q/SUPXsg8RogiYY8WXE5YYOTuN8jJ1+Umddm+Lb9237wu\nPbbW50ks77bTok+Fxoys9FgyMy2FIvF4H6NF7uD4eZwbxU4UddljzLlFmDKF6xn+p8dLyr5MOGwE\nZWVQfu1eRu01hT9KiCAsxzo8ri0ZYBTAvyQdrjJgIMdavJXxd1oSxFqpvRM3T+zc1PA4lx0J1+aO\nJrGd0T7ked0+QUGFwome2QwpgO5otlpSuWX9I+ilBXFdLq3htJKlGet9QsuJ3/ahH/FnolJai+Hw\nXqjER8Il4SVpnjspwNxX59rduC+tu/Q8crzYZktXTEXgb0I09FasQNIjTM/OPKblnFtnMNbip6jd\nHpVzKug144ZznfO4pVmmMXVRwb2Gt/N4e/mSy+Q4jYRzGlCMxfBcKlYTYarMNktv5JJ0uMrAg9ue\n1pX64mL2RHPzm5CT5rhAkjubFqzrocYnVp3YabMEWEdaI+2+KeA9+G3hSesvukj4gPco8E3hdBHY\nibyx3nNc56dSnZaasR+6x/c1XrD0/kyb+M3xaHBBi8FQeJNo+acFx3bTW/N55vTnNXndyaBMe/2n\ntITECEu4Pb9vIYPTbX6k19P2hSK5nlw3XBcncczfudtq1pMJDj7G/+nV5fp0mWYQpMFGqNHnrfga\nDMs6GpwlnDMfyQuVNMt67bPvM26Z9dKDuAQdrjIwUZPyWCuXGGSbzBRmJzg2wuH9n4FKU3oiie8l\nPq4oP3JvDVOlkMuFPJqICRu0a5MXUkuDS4WxltHDvmeA8kRTH9na2edFjSyexKdHfZmUuLFp5B1K\n4/F2fSP+zNs+Ybpm1TVLl8ozLXUaEy6b487f5v+WdinjcNLSQk4r/6yUb5TK33ybWqwliZCR77l5\nnyaOOz2V1r69a9aRsT7W62uah5Z13y/lXX+u1UYps8jDReb/HjpcZeBO8UC3wDHLrgnqUbodA65C\nmTYZR1BFPi+QeGRqc2m26MgXJ8jI3U1F4LIjQc82MzjF82m1tAXDici9oVIQNyWcfcIH9E5wPuui\ntUMe2xxogjnhBcJ8rpPXZr8I/0fjlwHShuOPzlGQ0uLkq09NuXlfZunc0DJ+4341XOQ+JmznfuDe\nVw4Mv6glJaZthZDB3hYn83d6823OUvCuKVsbFr7G1IRwU14jJblPqDY4h7LK/xsCQP5JLst3oSeU\nl578k5oD+Rsd7HYUV0e0Jil4coK5rGlNK3PipPVzqm41bHC8KQUONgPVbZLSe+Fxf3uCZ6AyhWG6\n/ipl8nxueUvXMwU4rz/X7gQ2D56EfJVn0n0tsU9pV9BTidjLYgZHW1RrcQHeg693W/k/YSeeJ3/+\n3axAHmcWlc/zPthW8/aSzrVMD23WemvPkJwNFvdr8ygzrub/Cb+caPIkLIQ2cX4fLOOyLQZA/k3M\n5BoJ0byWTwDnvEmjcTSHsn+asTnyuNII4z0z7bUZo6wrjYakhMUvSYerDBLDTKJVaRpBJimAExvP\ndteEiMv4XINh2E5CIQ2asiCkoNxoKYTS8moZRJxYtELTtXR5TrYbmhe4KT0o8iH8twAZYfkpWNsk\nT8Eq7VpI9/BtSm/PtDYvcuEmLJaLN69Zo1Pt9sO+VTY6z7gRn7sZzXNpF6qxUEzl2wylkZKxEvHx\nU00KIeN5I6Mp1x37lWuzGRz8Tm+zKcLsG8Ktvob/W7sqx9b6fJ9XkeORGVnS7r2NPCdpqWBG3uwj\n0OEqA2nujIRaUriPcFdPenY4B8I06oUmtNLKSF6NnbZ2zAN3+GzQRxOitO4Te0yrmnxTmKZnJU25\n4xYYFDrkaWSVS8vAnutmVhCDgSmgaR1ZaTMomkqSdTRsdW3BnmoZmKOAzAWZfJsPZ7Uxd5y8ZuZH\ng9voJTB+ldZk5vD7cxbl0opunvNTmp+J8PGEBdl+S3Pkce7Z72cYKFRbAgXHkvONbSY1Y2H0gGUr\n22JfmTVlSsSAx9r893HOf/bDKIaRivdM8xvfGnpBYvttr69L0uEqg8wmWHONmyDN75Ypo3Is26Xr\nnxO7ZQ8xW8UCi/9dJnFhWlgMDJ7GeX4YsKbV1YgWJYO79B78TcHeLNF7g+MU1H7wLBeDlZnbo8C8\nofnBHLbTLNcU2D5PvtJqTeJrHVNw39dyQVvJk29t+fULRuwhMaOn8dIEZ86PFGJp2Uu7iphequv0\ntWea5svzWsYc+BR8jikVXq4Lk5VsQkZJ7DPyRmqK09f6/yjOloZOKrisl4K88ZGGIMePx3Pt26DK\nFzCxbCr/Uy230yCfJHpDI4VxCTpcZUBqwc992SwaXNOySUh5DSfMiZaCeg33bBlJJlqP0q5FZ2oT\nneW8wE7xSW+luZwWbNLuhGNWCBdsQmF57XXtCiNped8JBd3QMsPDi8SW66l6LKJlE7GNkZW0Ntub\nZUnvh+PFRcvg3jV1AbMmdPydTx2PeByNI8tIu2M3uqZBGCMl34wUX0cjhfi+66TwpuJr67HFAvdZ\nv01wJp+jpIgGC6+1mf1DNIDrkw9i5jUZjzlBec7h9OBa+1fgFbRqD4fYCcRL92n8dn1mErjOdl3i\nq7Ti2pYKrr95F8z5zyBsCrAU5ty/hLxIu8okv9esYRMDx+wfeyu+pztxT20i0sNxoNNB42aB2SJ3\ne/QgcjM4C4+EXdhfhMqk3ewwjmcTdCk4mkDlMXsCKVhbJhoXO2ELXteMgdyyoVnenlNtLvEavkuj\neaJug89EjDzxxLZtNNBb5pjnmLFtGl6ch6O5lvWOhCZ5bsaO78PnmgfbrmU77iMG9XlPhDfJ9wjW\nIUTJLU44f6Rln5DnNQP3gnS4ykBaz0wgvEHrYiQUmhVgyg5Pai6tUBetQw4areV0AdOd5UjwaU7X\n47q5qCmg3C6FKb/9u8UonK3SFnBag4an8hj/S8sgV4M4mB1GZUgPgZRZGNIsYC2cMzNshN0mzyn0\nGzTQYjLmIRdogxupzFwXITFTg2yosFpg1hBmMwYyfnBT8x5DuYFdPrfAe+K3FaLndRpTaSDwWiov\nGjftoansa0JN7Afzna+HZbk1I9J80VtuRg/hVRsZvhcbPjl+jJO4fBqihCt5fMRLktu5JB2uMmiD\nvtFS2KYlxpdDp2DwMdedgp8B3xyAkcdBXtPiawomrQFmQ62NBBd6WhlZpikuTmTyRKFIwecgd8Nw\n3WbGYFIg0GrnQ2ZeMBSWXBwpRKQ5eJu8U6FkFs3DEmMEJHql5I+C2sfNSwaXG1GQNu/JlO1kf2d/\nNguXczO9P86BhpWPLObcoK9BIfsyfuidjtabYScebwrRv9MzG7VN4hikYbPRbj0bLZUeFX7u0bVP\nCZm8y6nrybWZij7PXwEdrjLgJlopYE3EjM+jvOMMzeXkcQpJD2KDDfj+A8V5DxYXXbrro+wJKqEU\ntLlvEDHmXFC5wZyFsCmFZVukzWrmPky5aEmZ5TFakGlJZ3YQPT7zTcHv/moxmpFATaJy3CeMiYdb\niN7U1H8jqJGBWxoiudhZN9vPPlDw24jbHLsdPoi0wTHvQjqCz5pVnN9NEbQ+zAwy80iBd1fru802\nT6cZKgmXJCSTxqH79KycyzpTCafiIc/tng25rpH7kvIgldEocHwFAeXDVQbSfvjGAsoTM/fzcZlR\nPWlZmwjdMKhGdy7f1MWF3oRV3o8nDa0dQ0J2+0fQEimDgZkhw+vcL/aMmjXncvdQpr3di2UT+pHW\nBYRQhgs+4SIbBHc1PwPB+3N/cTyatdQWNXlwfemRmA8KPhoK3kfGXktawilgaEF6DlDJ2VN0thmJ\n9TIo63bdjutOmIE8MBvMT7JKy8AvDSrykJ7Fw5CVXusjBtA5Dml8tTb3KWKW4TzjGskyQlstdsQt\nVmi1J39pFDbLnvBhwrLNqBrFOC5Jh6sMWlCUwjEt/6R0eUdZA9Tc6ZInLwx0WRC9NCifyiUnXvIh\n7VqpOToJp9zDbwq7vP6e+kRtvOTkygmfWH8+FcvJbyv6vqb3FKR1xXz1dr3bb16c67cQp4KlcDa1\ntnM+ZP+3rBvyxncbpFIX6s/MGlp+LUHA7bHvLRja5nQbTffs/kxDJb0KK1ULlZtajqspvSeXP9m2\n5bTaNQ8hMfRR/M3tmbIezk3i9imoR3HBVn+uvVw/pn0Qnnmg8mhxI0JruY+Zr29rUFHOPGUw/5J0\nuMqAxA4ituZFkAKL1wnHM6to1PEuyzpIF8Gn1yZl1tmgIvLnbwdLtad94t8NoiJRSbR4DIWs77u9\n0MXX0VqnIKcVnER3PpWMwN+aK5yCvb1UpcEEI0y3ZfjwnIl9xiA8eTF/mRnk49m/toCbpyIts9pG\n/NOzoLIiFJGwBKlZ0tJyPoyMJ5dLvllvliExtpRQT/KaWVotm2ttnSf5flsw2ryNiGNMfppCbtQC\nzNJYSntdX4EiWGvm8VNaSW0hJTmAI/XOb5OvCdqm1ZP2TYoUcFy43GspYQhptsC4IDOQvuYVkT8L\nFgpmLhbWmxiy4YtUArlJmrNU2uJtD9KY94bZ39UsVKkIbf1nbMRCk/2x0XLsU/kTrvHxjPmY2GdU\nVg6K38f32i6jNGDoRezDgPM6ZvG4HJW3+5cQl8njZ4iDkFTOy2YMrQn/tNBbrC5hGN7rS9qdf+dR\n/ly7Xrp/N6+K17o+l2sZPI1SkYxgpSajrGibYqR3w7cCJhSWyi/XjPt69GT1Q9DhKoMUOO44u7SE\nSLgY8o5yYLwYMu0tXbQ24X3MwocKp7l95C9/u74MXpPnbFdaz1TJwLXragsz672h6clZ8+i0Q8M7\nIy/AsETyfhFrPjMk2r1ke7SiLcBf2PJPrynrvkhwOeGhZlFuNMcvmDmSgfG8huR6R32TdeX+9txi\npM19BysZm2j787us+TPsdg/nzC+9y4sG6lOBm1o/8X7YBucR4UIqJs5jKjHz3R7o4wuzzuJ7H6VR\nQct/RPQA83grS2qGzctAh60MOOk44dPlJY0WXloItoTaNQ03lMYZOGwraZTGmXUk/sj2uAhGPFxk\nkjU+6a2ksrIlmlYU+655A1wY5J1CjjDAPr45dmlZ+fdo11QKS6G8vw2FuW3345qltdbfTSC0sU/v\njII3rc9mdDQe6UkR/vF4ua7MCrun5TsNWhpjkvs8ryG8lUHyJqjb+kmlnGuI2T9NwJr35DvjRqzD\nNNpNl2XaejjXrpyhstknaR9G5pD+v4CJaIW4o9zBFlyJC486pU0MCpU1gZ7uZlq8GZjL4F3j5WEG\nb9Q+eSAftFKboJFmzygnHxe3lUBuoOX+b7EXt9fSXD1eCTswfTYX+Ll2dyhlUJbtGBpyGVqSTSj4\nOnoZmXVF7yPv9SUt27OHNIIMSCkUG0+psHn/7TkMC6xmcJxq3s6a5KyifBub26RFPUrkSGp93oTc\nRYwkl8t7zjWU95UClDyngmtZdYQMPf/z1bsj/hNeSwQi10rymdSMJbbRYmOPSIerDNjJKQSkpVWf\nC5ed6gWWE51QgokWYusZbu7FOjPfvME9I4goFy1jHjmxWP4WyrZ7SYvSdRPbl6bJROvftOY6pyLI\n9hrZ4qVialbwHZzn8Ww/A9LpASR/rOdEc4bVE3Hcgr8JlGY0jDKDpFlAN+XfvDB/CD+N3j/QvNm0\nLjPulZ5ZwiTkzWmzd7U0gAjPpPc3sux5LolKJu+JacMux3TXBou6Tb5AiffDdunVkhIWzSy+hlKY\n2JdN0SQlJNn6OuvOcW1K5BHocJXBCJdsuKG0DHTmom0L1de4DCmtEA/SyMPINC/W6UVDa9w88f0B\nTXglHrpmYSVMkR5BCgJa8cwOSh7y95pQGmVfELrgPdAFb2PngGa26WuYMJBQ0Mjbc7+MssVGablc\nqOlVETLZt/il2RhJry+JXg63fch4muugAjkrZYRzFKgco1SOLrtBOcIi0nJeNUiulbPicmp2g15S\nIFL5MJic8BgNx5b55TooG3IrDnoT7BPyyDEcGZCj9ZLGII2xBr1SybnOF3SxDQ4vSIerDOjmS8tJ\nKPUgX2rwVqcpLfa05ps7NxpsC7M1d81Yqu/LioDKYuQ9JPyRZEE/gpBMvueXyjHfSxJ5yqBent+o\nY8Tkp41BsyBP43hTxDfKufRQ+HCQoaRcPClEpKVyuiPpgaZdSW2p0iuzMr2L83x4UMETieNG4bRv\nZVqR8x7Ie1rxJvLPQPFdLZ/7IH+sl33VLHPeh7S05PmcgqEXGkTku/WBlb/b5B5eTeFkbGVtDo7g\nLyo3j+E97So9K+Ec4xFS4LrXjKk1I4Hxj32ZhRekw1UGzYUmtYFLDS78T4tv5GKlcGyv3MyUN9bP\njKXU7rbucp94WhrtLUakUb+kNce23S6fyUhLJi1dK6CWfWJ8vVlDTXEmvj6a9KMF5XO5AH08FTcF\nPrPOpHkBEn6g4Eqo0RBDE9i0sO9o+QwMX71IT9NCUOpKkIrGZZvHxv85h+l9pofq6/xa0eSLUBNh\nPbdD78AKhV7fWvBbWr6r2WNmq7h5vlkvM8YyXtiEfMI5o0Bwg/LaOhkJ3Y2WxonvO19Cw3alZeCe\nEFF6aanwTjQ9PS6NNxh8SDpcZUCNmgLQ1CAULua0WtKizTpH3gRd5ftaTsQ16Kbxy8V0vZQjFOFy\n+fYv8noRF7FZJKa0Httkb/d6kQyJdr4pES5WtjPq4wyWrtHIQ0kh0x70oVdhOI3zirELCje35/iM\n60sjwvWkgvb9ti3Tm6FAT5bEGEhCSm1tUXC53ZbR17yBjcbzPucfA9bOcrIipgdNolLJfmz34mtG\nwrulo0rLuWdPxdSSQ0Zz8H58p0LhOmB/kzif8l7NlxXQFSiEw1UGTnej1UdKt5vWDDFWT9y0aKVd\nhZBanLCI3cPMSuBWCNJS0LUB5rUMcpmfDLC6TmbWnESZhEZI2T4XTioU3kMLcNNTaB5AXsM+zAAn\nz5kHW+wcoxROhDZYlyGOJvQyG2qkYHktoZQbUe5elKOVdh+fcxw/1fx6Q99PzjOX4++0gE+12+fe\nFsXkMbiuXSjCAi6FGaGQDLTyzW205nN+UHg25eR79tYZVIAPcN58cG3d0ZzsYEqFvk/hjdYjYxDp\nJWRsMt/bkbC11BUoeSYxhmOlyLmdhsAoQeDTWhlQOEtjIU4aWQEjiEFa7i3T8L7c/oEL2Qsj8c0m\noFv2goWflZfpJc0LZmQ9jISwLVbhugxA5j2OiC78De0KRZZr/SftCnOWYSCWLnTDdvcRBX5aYxx7\nCzHirnxnM4XkRbcFIPR1TzMOTmXuscj3ESdsxAVPiInWcOODMYr0rDgnTPmOZRoxNnx8LZ+QNQ8t\nfbjFvTweHAtSegckr61RNpbbY3ryCxqn2XKdZHr0eXznRnzXcf5M85qn0Zn31AzLXCOpQMkviYrR\nfUJlfJFt0/fQqy5x7XdK+mVJH5b0o5I+A+feJeljkj4q6Ytx/C2SPrI99z0XbqkpghEE4Y8XkgeC\nC75da0HwkuaUuhzgTBVbU6WjNjgxRtCNKb2ENWFEhURrxtc5qLmWysf+8wK2oGseBe9h5IHwv8fQ\nVnPCbS7TFv+IaFFZOFEoZWaNhRhjGC5HHN11Uok2S57WYc4PzifTmSZL+0mU8TeVKvuFiQfOvGnw\n1w3tQhkcZ3oso8w7e0Q5xhZaJ3E+21D5/4SW95EesI+x782f4xguxyA3rXIq9oTQaNS4TX/TYEqi\nkifsc09Loe6x8KfNF9fFucO5axolD3Cu+n45N68ggHwZZfBTkv6SpM+V9CuaFIAkvVnSV22/n5b0\nfZryMCTp+yV9naQ3bT9PD2vPAfcxLjZbHfz4uBcGhUF2sgeCltrIyk3M0581bW4ePAG87w73l0lh\ncoK6pSU05XsbtbdmoSd5ItJiT5xTWipUE8chF1pO5ia82OeczKnQpGVdXEwUFO5DKgP2u6EPCkAu\nWO/tf0NLeOjO9sMUQ5elF2EBS37ZRyelD7i4OZZ5PvuFgkBaKmvfy5NazkvPO873Nn88/25qfo6F\nilbRR7aMbTyZp3w2wt6F+SPcmMrIFr37yufNlwPQHv9mtNHL9HMSVK6JElBRjWijaZfWe1quSRox\naTj5fB7jOHh+WeFRZqwFqz3nmdBySVqzbffR+/H7A5L+zvb3OyS9VxOLH5f0rKTPl/TrmqbpB7fl\nfkjSl0v6yVr7LY1hEVMGflpgkjSCRNKdzPoZXM29xPNhrcQAE8IZ8dMeZMuAmcvkE6i0pHiMllYG\nbl2WC928M2bg48lz1pOKxPebiskLL/u6eRwce1qBo3G04KVRIM2eIuGKfTOfWLvhCml3z38LLtbX\n9vp3ZonLUni7jeuahZ35Tgs+YzC8T54/0SS8mMLsshzDhEtGgsvlvc58j76n7Ivsb2m3z33NKCWc\nEIo9uTZ+7P+Ernjv97W+QwANkYwbtLiENHsiCcMSjnJb9kzP1ecw5wbXSIsHui7yfUm6omr0tZoU\ngCS9TtLP4twnJL1eE/ufwPHntsf3c+bOy4d92ntTTdnZuSCyjTVi+cTmGqwxwhFJhHIyqJrYMRcF\nMeSWbeJ6WD+FKpWVrzdOf6tcw/tMRUBMu6VAcjE0XDQVgKJMBtNaLIDHXWeOPQOEbV5k3jhhxaZk\nKXCzLrZpohdGeGqk3NkuBULeS/Ne2efuX8cHHqAOwiO0RKkUKPDdJtect7igZ3YP9+Pr19Jjz3F9\nxtToPXDd8d3DplRYvp+MxXHPs7S8U+YI5Tyv0lAycQx9nh5ljlfu7UXDw2vUHlem02ZdI+PoIWmf\nOHy/pNeW4++W9OPb398i6ZOS3nM1LG0pJ4AHOXN525ODHoyGw7M+ficclbipiYvZ5AlCqIIDlHyc\nx3FCP57IG+1OVl7boKCEVNrvNbICIYaaGHu2Y4VAy4gLv8V6DIWtwVlZVwrgtNQyS4ZEodiURZLh\nR+4vb0ucsFnr1+Zdju4z6yBc1xQB+eN3a5cvuuHYuJ84x1MRpIFB48HkPr21vZ4CPy3kRvQkfd/p\n4aTSkpbWcOsf30N68IQos05SM1BSSZD3TNYwmU+3R2iMyozX5RhS6Kc8sYy4IkVgVtbo7XvOf42k\nL5X0RTj2nKQ34v8bNHkEz21/8/hzw5pfeAaP+L9Nuv62ZVaDMUNCIB5walJa2NJS8NLT4GJgIDAX\npS0m4oO5WRSFDykXfh4T6iGU4HtM64mKzHw+gY8pFzdd7lPNk5NW8CnKJrlfKZS4SZuJCiAtIfJ1\nXzOcMVKiGfBl3d7PqGGnqSAJXfjeEi+2FWwe/Z19Y9iQkJstuQZjZNxlH+XcasqYfSiU81yw0GcZ\nC3FCRJtS3wgSlCbA14aAU1s9ht4+2/Mi60il0eIenDO0spkNNkIGXFcG9KV5Hd3YfqdXRjiwKfYs\nRwiJwpuZXR5/z7O21xGFPqGu5s36HiXpwW3pk7el+9Izz5RyD0HX9hcZ0tOS/pmkL5T0uzj+Zk1e\nwls1wUA/LenPaXJSPyDpGzTFDX5C0veqxwwe6HMeLJ/OI6ywkfS8dlP43KmbKE8LzGUpnGz1sL6R\nK+k6cjEnlCAtn0lIb2Ok0U/jt++FyiPbZzqjg2yEg57XUqDk/iYpbNyOiZ6W26cgsQBMgW6hk8qJ\n5L5nquUo6CbtQoVul+PFBTpqM+Ea5o/nWKZwfEozvs8x8py0cjrRLDSl3Qwi/27QCIUDFULL9CHP\n3BLjKdTnPn5xe/1rUFd7Gb3vtz1PQC/9KbTLGIXnSArsNu/TCzG1+AzrJ6xJmOi65n6/r2lcMvDL\nuUneuPZbxtUIdSDcRuVFA84ypz0rQbiN9adXNvLk7kgP/lC6du2a9Ihy/SL2yYj+haRXaw4k/3dJ\n75T0S5J+ZPu92R4zWvlOST+gaYq8T6Pg8YjTfW5RWuemJkCl5UQdubmcnOx8Lt7EES1AGr9rSmR0\nnEqQ7Z8MztNjIOyQ1lm6ynkfiSHnPXARG+IitTRAenAZA0ihQyw7rd8M2nkBtaB/KuA1+I3lcs6w\nv+lhWiDbM3gQ19BSZRsWwrZU2dfspzP19zqzjeZVURlZCbiPX4h7arEZt01Kyz5TNm9pKbDzQU7O\nU16XbWRMbWQh05JnejG3dbGH4O81GeJzhHXyXINzTDmnSfYY0wBocSnW6/mQeyyxnSt4zuAynsHL\nSQ/0xge77yHN7IoUEA2iSEvYx4S672laHM9v//OZhIQm6H2wjK+xhcS0UWPNN7W0WBqskhOtWcKE\nuDxJvINheiDSbKm2OEhrn9ZJ9t0IOvB1IygsBWt6bxYsvAd+KHRNtPY4PqaRF2Xe0tpOZZlCekTk\nPfuT1nG7/7SK7dnR+LG34Te6tXUhLTNYbLUzGPmCpN8Djy53K+phXezzpizag2bt+Yz0krIeU1r/\nnAO+B85N8871ln1EueFUTtbbEIVMtJD67r4NuuS9SH1eZUJIzmuhbmacZZ1o88GvPT7P4OUnWzPN\nqvLEZcaCKQVi4nJ84tMdnF5Fg4kYxNzgQ3yx4ZWeYHYFmxU/UgRP4Nw5fjNrY6PdZyXoQj8R9Uk9\nX9rUApPsk1Riaxa3iU8Wp5cjzc9WvKjdAHv2C4VUW5hJKcTyOl6fRP5cRy7KkSfh8nc0C61RUoOx\n7Be3//MhSd8bPbrEtQmRNU86MWzfn6/JoDx/53pomUwmz7MXtvfDNdKSQBIvJ99eL8xmohFBXrnm\nyV/ymuuJ90dKePBhKTPpGFOy0dMMDssqJkX4gVGOazNwL0GHrQykqfM8eZpV4UmcuDczY1g+3dyE\nk1T+u57MqOGEddtnWrps6bkwjTEFUbqxJ9odoSaEmetNolKSloulCdrE6ZPoAhgizaYAAB9KSURB\nVOcCabhv9ichHPYtrbj0Xs61a/mmRZ0W2ojvvE5aQghn2q3X1/H/6DfnYEJzPu42cvES0jN53tsq\nHj2fYdqoe9Kj8ynYM2VzJAS9x5LbSH6YNZPw62h+tfti/7ve0bYb6ZG1cw05EMoSiqJx2e5xxOsa\nefxfjGMbLd/tnmNo2bPGw1pm3gXpsJWBJ3MqhBQW+Ri+j6cFtMG5JjiakGtwCK19vtSE1lMLypr8\n5GxL7bPA4oQZWdx2W23h23IiVj+y4FKw5/0RmklhmB5CS5/MgH0rY14Zu2HmC7PCUtm0DA5SjnVe\n22IKaQVLyywWW+NU9sTyE/rK/WnIwyimlFCYrcabWs43l6X3mfX4u2W1NcjK50y0vNMQelIzLJOJ\nEi5zqskjyngM+XbdPneO69Owk3Y9Zb6cyfM/FXsLghMCXfNySKzDc4DvaMhy9N6l+YGzHC/y4HP0\nJu7gvj2vMuX0Ub2XYOMwyR0yyuY50RLLa4FCTqz27bLNyvT1bbFxACjIRlZYavq0bk/V7zMH2PWn\npSwt0/GIOZP3tSwbei2k1mdpoeemZSa7uNLS6hxZWtnHKRgJkbj+tLJTOTmonLh9s7KTkl/z4q2p\n14SNIZGM+bSxM6US8r36+76WMAl5zPp5LtNOLaTdDoU5+U3hmUrkVLs4/lmUbZlk7SG/xj/XFhV2\nJiCQ15yH9pgznZP3kgYFlY3JQXwqA8J2LpPrOw3PG9o1RppRQCKkRS8mFcIl6XCVwch6l5aWKjsi\nnwJcw7BZz1n8zx1D2Vbr+GaZrZE1O60BQij2Gu7FdSdaupGeVGvtN2GxphBIzf3loiOmmopX8T8t\nGtdB3lOQW9BnhgYXUoOimgeyxts+4uJ1/fR8LKgbrGQBy2tH85cKLPH7NFhav43w/FFWDD1Aerhs\n51y7wpzCzsL2geZ+SUHr/0yRJcybfPm6FOrJu4meeApN/06viu34u3mYmaXG4ymfWqylUUJgLQGA\nipLz4X4cN31aewYU0M2lHMEExCtN2eHS/px/D/ZoIeX/xClz8ntBMXjmJ1uZPUHYyPfGlDS3ldv2\n0v0ewQd8GIpYudRnQhNaqQT2UYPBXI8/fE6A9abSI7X0R1poKdR4P2kBtzrv4bvNgZYR0h5+M+zV\nHpCiVZlWqIW0g40kjhszd/Jht/SW7cXZUs6Hu6wUeF16tc1Tu6UljNYUP+uiJ5lbxEu72VLmi95H\nygXCi46h+RkIKgsK8QxmtznNdSUt+5eKssUkG1phyvq4hY0NjJuo2+fbm9OuSIofrjIgjSypFDAm\nBoIsdJvQNtGapLBkO/42PJUQAhfPWtCKlgohFlsE3KjMVlbunOlzDXLwoqew44M26d2MlGaDG3jM\nlkkLKo+yenht65909ZtCoyIylML4SwbvE2pKogXOvsmHz040Z2hZ8DRLMKEZ80sB6UW95mmqlJfG\nSoUCi/gyx4j3aCV3quVma+7vBn2Z2MeGwp4qZbPtVA7MMGu0Bp80ZU9451zTuvG25FbINgQIN5q/\nVPKuk+vH90VB3zIa833PnIcnuI71nsdvKncblzYOPBevIIvIdLjKgNYUJ3tayDyWi8KDO+qwkbZO\nazl7idBIgyk4iS/aw82aoMWbgpI4b2YhjVzvRo2/JuTSTW27P45gJfI3gpMav57sVh5NoHC8peV+\nQqwn6+dDSfRCG5TDxd8ChTnW57jGBsSagmz31TJcMpmClB4feWUdbPMlzdY8y9FISQyfAf+0mOmV\nttTOZhg1Rd9gGUKCbTyTmM1FD8D/0/BZy8bhfXkc2WfmzxZ8M5qah0DjhR5G8y6svCh7Rk/1PyId\nrjJoAy/NA8nOTeHf6rLlY0rcebRQM0hkHrjwmwAyJRw1UkCkkbXo3SPTTUxvxBMlA85pQbmtdH2b\nMGyZNg4OOtWw4cDSroVJb2IEwZia8GX7eW2+XD0zSyjs3A+00KzMKVwzD5yKmEZBBndtNUszPOPr\nSM2bJFSSgpUKIb2h7HvGlegFcXsDWsqjlMozLR9So3Kn4OUrOBNyInnsXT73dOL6p4VNS5tzxfc5\nWs/pCUjL2A/nTioHZ+fRsMmgd0LKzCSiB9FgNvJIxf2i5jV2XRNsxDqaV30JOlxlwECQ3TAKdA8c\nBeNGuxYB66PbmpONlHCBqXkYxvwpmLK+VFZMg8vj+cwC60r3NYNIrsueQy6svI5YJO8n4RE+Xe36\ncqsInuc9CsdYpxc+ob77g/Jp6bbxJbbPjCpFGQvCuzj2lOaFdj3O5323sU3rmOS+bMFLU96rtBRU\nFABUKC6bmVpeK5yTGZB1Xc4GcltMS6bHbaXPF9eQV6kbW3lf5kWa+5PJFBucp/XdBLznTMI4CdH4\nQUbGHDJBhLGUHMeRsdi8Ce73lMkdVrzcBTcTZRjf8D2m4cqtN9agtIekw1UGaRUl9JHCJskdlGVa\nqluzPimUb0TZzKBh3RSy9+IcFw+Vli1S8k1ymcwv5tYKLmceiWm3XGi+bY0LnmXSKqYCpSKgAqHV\nRqFyX7vKw33oRcJjDJwzTiKUa3Qa3+bF95kBarrgHKPcXoKWZVqqvO9sO78bXCPUk14n77lBZCOy\n4ntSyw0fb2oZpyK/aVW7jgZxUNnYqrZHMHq7ILOq+D0iz6EWG/Q8WeuD7DvP8YQ4WyyFW1pQObi9\n3DjO7Z2hPsctEiKkDDFv5Cn7KY05l8ktby5Jh6sMpN3F1BYjIYdmlRFDzdczSrtWibQ7ySjYGra7\nFgRzfY0/WnE5WUiccAxgpwW+NppN4WV8wzTCIlPQ0pvhhEz317DHPqJgpsBqnsDI0vQ35w4Vnj3N\nxHwp9EgtLnQS37zvBuOlZ5hkAbKW3bTGV8I5ozgZIRES//OpZ/PrteY+GnlwrosCnAYKidk9meCR\n953Kw/PXgfmsl149YZ1cAzlu5nO0nvdZ4BwTQo7mdQ3jz2cvpF3vdqQ8r0ARSIesDNyxxHSlGVNL\njDwnXU5KaWmVts2fONmkeRK1oKct1oSURj1KL8CLy5bvfS3fOZvXsN4UqidRfrRBl3lOrJUQm+LY\niFi2KYLRpE8Lp1nMTWDyHL2SdMHNsxdWKvkGm0lzZg/jCHTXU1HweiqatNDSojyNMhfJBOFcbJY1\nPeiTKEeIKgXo2vjmXLsLXmlQ0TsYBbXz2Z8ck7TwqfQ5D7LPuI7Ic1r3PveklsZFwi8uR8jNUB2V\nenqCabCSnxvaVZxrhiPbSxjLY5geib8z/fgR6HCVgdS3mOBGZhyc9B7WFhp3N2yUVsQoCNYCxhT6\njnWY95Zl4EVs/unS0w1sE6nBNF6gFNi8vuGhCVX42tHmbKaEuHxM2g2e5fm0ZihUWY4CTZoWte+R\nueXJX+PVi2cE16RlN8LcMwhIwTKCIJtyelhqViI9ywZnSLuZQalQWXeme9qgauNDxcJgcM49U8aj\nfD4FOuekiR6iN20zvzyXCj8NCR5zOzn/21pvsblUBLyWWUSG0QgPZ1nynGPic4SwTzStBSudT3tl\n4AFsizc70NSCl66LxKyMtshyQXAipSfRFiLbux/HCVPkhBTOMWhoq65ZxY14T9wH3X2abWSwt0Fu\neb+NRlAOr6EluM/FpaXO6yic196xm8covAkrNWs7oSkGkslbHpOW98egIs+5PMe1URN25jXvj6mN\nmVzhuhqMszaXRnCiyVZ4euxrytmUAVMez3EzrcUL2/pIY4Xjn4ong9s5B9x+U3hcX62+nKfJaypr\nyr8kBrulK3mfweEqgyasRwvP55pb6XLNjed5f5+W4yRrZmk5mG1Rncd15sHlGRC2QkioyccyQ8QC\nnULG5ZMXYr4ZmxhBOrmQG17piX5D89O3/m/ivZhPZuswMynbNbWHcxj3yPvN/w2Oal6WKTF4E4PQ\n9r6aFZcCwWNrGMDX5gNyxJXZD/kCGX6yLBMXnCFlxcn7SoXP3ynQ03L37/YUf8KWiv/ZXxvwR++N\nZTJ33wo0eWddznpy5g7HjQrSv3M+EpJrxkZCyrwHHjdfyasVMsfb1+R4sz0SnyIfoRwPQYerDNYy\nfnJSNQFCoZqKoKVtpvbPdDXW498jd8/Hm+uWMQxfb/5e0K5CaALH7eQxK1HWTxgh3VsujJxw+zBO\nUmKpHBcvymYxNkphZMFDQec4iyEDChGOw0iRNYOC1DzEDBzn3OO2DsLvnK+3cI5BeB9LvDizqHLu\nE7ai4PRDZd7x1Bh261vycU/Ldlw+9+fnfOIzAm3H25HH1frfUBXnJ61m9m9a976/3P/flLEyt880\nb5bzehp5sPsQCLblejMW1TygXMNJLpfxkUvQYSuDBrVIY8svyZMp3UBao8xq8DVZLydvurUtGDgS\nQORhzSqTlm4s2zP/7Z557In4XrPS1ii9rZF7nlBL4yk9sLXxW4N9WIbutnnkd3qDvmb0BrMRfLUW\ni1qLYfl4g3kSVrkIjYwQekpsl2VsOY/49/Ub9T1wWoyBCpflfd718Nq2VnKOX9QQacaQrXl7B7lP\n0jmOkxKqacYX271IJuFFkIZGjA9k2nW7/mHm0IAOWxlIuwFSkzvGk6ZlKpiYbudJSYglHzLKien9\nggir5MNayVdSLipadM3FFu7tifhP8iZ3prQqkzdSW/AjqK1BSiNriW9y8jVpVaaH1ZQTF2YGaCl0\nmfFFwdjmDIlYNwOkDNyPnrPI+ixg0rLMvZ9IFigPs5A5z+1h+AnwtJgzldLHSfmQlY0PKnfPqba5\nH5Wn2zDMcqopyOlyzejJdZR9vcH/ERowmuu0+lPp0JDwfGHGTntwMY3D0XnymJ6cf3vte51k0oq0\nXCNWbGkcXqEEP1xlYI3owEvuAErrsj2e7XK0wq08TvHbEyFxQbrQnBjtKcu7KD+apMwcIq/+bhPL\nTzGaCPU0ZZSjORKuZ/HdXONG+2ZLKu0UThSiqYDbhnkcb8IBCZtQqTHThG1L46etbQ077rGJ6+hN\nJo+k0VPGnjdUEAlPsF2mGOYYJwzndZD1+InhUy2zidyPpuZJpNA1P5lhR0/QCpRGk2G8XL/kx+Pn\nOk+1O1fIX2ZlMWEkISP2j+ujxW1lzzYS7lSUaQaFy1MB7CPet9u4rqnPcm6lIl2L9V2CDlcZjFyi\nhH048CRaJylcuHc72/FicTve8ZD1e0K2jJ8UQqkALoIvelKfq+8c6Yn9sBalyX3QMNKmBE60bom0\nyU8hRjdXOGaFQC9Nmj0dWrIJq5EMCdias+KmkWA+OQ7J90iJn4KXBh1kHCpjU6ynZa1Is8GT99U8\nDfKXfO6Lg9h6J+SZMRFmbdHIGs0P17sGi5q33O03s+RMXHOpEDPFMq3v9tZD35tjI742vZDcHiYh\nI665FhuTducRPV9T66um4FnfyLAiv5ekw1UGGVH3QOWiacJSmpWBB5CpWBstF84NLa1kD4YVg69v\nW99Ky8G2EsmglimzJXKycKE6SyctCLqLGSgfKSTyzYnMJ02bFUaeiJN6MWdwrQkqLqwkt30a/+2G\nX8c326NF1igXb0IUrINzJuEm8+Rv9guPtfvKdq2k8lwufteZgtu8t7ZpoKTHR6MiDZ1USuaFMA49\nqsT+PYdcVpoD1xnAHSkVel7mKeG7zChiH9jgsGVt/rhFhu+7KV5pOQamc3wYv0sF3Tw+t5kGneeP\nDZdmBDCe2QR9QwA+rZWBtOxAKgTik0KZtGKzLg9s7jXk66Ue7TflQ2bE+ppLT+Kizoe5WuCVsQ0v\nyLvafQsS2/UiPtMydpCWULbl9trCycnd7pFQTablmVx3wg0pZJiRk4qAHoMpsVZvOEYluM+DagI9\nPU4qrRTQ5N9KNaGHzEDypy305LdBRpmO2YQUEw3Ser2FMk1gt+te1DxGfvgvhb7nguecjSjCszQo\nqAA8fxhXcj2evznHSDaOqBCk5bsgOMek5TusXXeuE84pjiUVdPP6fW0qfyrdM+3KFRqGvteWXtug\ntEvQYSuDfdxlJ2TGgLSML0i7Ao4uvTfxyqcF2wJ1nX7MPV9WkoGqDNS2oDjba7TRvK2tJ991LRcu\nJ1lmZJlvKzxirT6X7ft3U4RJXtxN6bAfRgpbK+dPCg8ZjLbnkPg+eRndc7rxhIbMf9sKYOQV8L4p\nKE5wnnPAsY5st9Wd1N49kNTGlnXSmk4YJpXLiDcaVBb+fCaHBp3LcyO3nGs5LlTIhHB9DZVsm2u5\nNk3cQde8mtIoyPgR62xjMzJGPIea4ZTKgEapFWwGsNfW1AXpcJUBrS7ml1szr3kALsdO5AvAOana\n5E5cMgPWwnXmh9s3M/eXgqMRFxCzYmjR+9g1zf1Aa+om+E2rm4taK9+e4KPUNeG+bEVZGRKW2Gi5\nwPP9w8zUYR9wcXGM2c+5sNocaMdoCGTGiz0u7riZ1Nq019GyUVp8ivVSUPmevMAzi45wTfJixUfF\nQgjHbbmN9HoVZU33JD2v2TK/pj6HEwZdy4g5xYfPNeRaJuzIe00IjMcyNkRPm8J6XxbOSJk2WMZt\nP69dJcRg9kW8U8oA3keWGa1dabffH4EOVxlIuxaWtBQy3GaYglnq+b+JkXoxtW0pkriYX9CuhcmU\nPFp3LpODO4JcnNrWYAEvfMIVudhNxOnZlhdh84742/2UMYF9WDsXhcucxjkvXmO8wvnWDhdbayOf\n5JWWwoYeEuvMxWelmZit+9fQW25N7vtsXo29lRQS5iPnd8Z1eL+ZDdag0mbccCxyPA2/5EttMhD+\npJZrq1ntmaVGheb+u4EyPEfPi3VKy2QQE69NJdreG+3x9P22DR15XaaWEvbKJ/4bNaXc7o336PFJ\n5dY26qShKnV595B02MqgBWCN3xlb5LnMpuCbwXycFjdhl3wr0xNxLd/elDggXT5aUFzgay48F156\nHrwvadfSznLNCknBl1aEFwLr4uJLC531sr1mvdCldRkvTEJnCZ9IS8EuXK/4T8VBBe06+N6HZnXS\nK3JbN+NerXBohW+25Sw0fB/Ma/eCpdeW98g+Y3orPbC8Zx4bCYKWDWPoxoLNbfEeFfeQ7+Umf40H\negF8fzfnCYP7zQrmdztmT0zaDbSn4UPvgwFqoZwplWn2fT4fwHtq7z+QdvvO7XCMmRJtb0Pa7Rvy\nRC/9CuiwlUFSEz65M2hSZo5kOcYWslMzvzitOPKVsQku8ra7KdtPazx/u1wTDCNYh30kjRUSvZhm\n1VuIpfBke4Y5cnzScszsrgzI8t4Y8F7LHBopTfZrWlrtN4W42zoZlFOU43EG4qmcyWfLEmEbo+wU\nzoF9sID5ShzcRkvuQiot+7sJxDS2KGzJI+cPoRxb7S2rqvFBGp13X6cRwOAtEYFUWhstM5dMmQGU\n3hl5egIfnmtzqUF2ozKuh+868Mf3yO9L0mWUwbdJ+jJJDyT9nqSvkfQb23PvkvS1mm7xGyT91Pb4\nWyT9gKZue5+kb1xtIQVYsw5yYlrQcIISZ/fDOL4+qe1MaWoQS+J9p6ifWHQjDi6VEuu9q2UbqXD8\nnUFRaXfB8R5Io0wIX2cIJCdde8hqtGgpUG6Cl+Zx8AEm92Wz0pMSRjE/Oc7Zx4Y4iL9n9pV5cN2E\nngyBtKAyfyfUxW8Sx9Ft3tNSEXAOcy+hkZLINZEKvsGGVA4Z+HWf3ceHlMLZc4rP+Pi4rerGsyk3\nhyS5/933Lb6S6EDei/uOm0LyeCpXCv6mDOzh+TpmJGW/+Jvjswb5NZl0BfSqS1z7HZI+V9JflfQf\nJf3j7fE3S/qq7ffTkr5PUwhKkr5f0tdJetP28/Sw9rawpXlw7NLnU7peHC9qF/rw9caqnZvs8/c0\n44YWvH6Kkhij6cHt+fd9LZ8JONXylYMbLYVBcyfJo4/zvbOOb2TmxCZ4vo5rziW9cLu/5c0xFgvC\nkUCwhefFT5ihCQKXNx/NK6Mndk/S/7099z958P0S/z8rH0NdL2oWnBTONCRcT55TXJewxg1NY84y\nvifPN/aB+4GQm6Eg39NplOc1JPLsejbx20LwTNIf3549i7YmDE0kFm9i0sZIkJrYflO+vtZzhXP4\nwe1pjTy1/Xj7CkJYrpvQltfDLc3GhbScI5nmfK5dPv1Jw82JBZ6T57en/npK0mu337c0y6I0OClT\nXkA7XCsJKafh6P4mvDjq33bsIekyyuAF/L4l6Xe3v98h6b2aWP+4pGclfb6kP6NpqD+4LfdDkr78\nQi01i0taCiO6dVQU0rzACFG4Xi9sBmbSakuc3vTJ27uDQD48MWi1mDywVmbNskoPgNeanybQko/N\n7RmWaelza3QRmIzUhEVi+KloJOmPbnc4zXyz/myDi4Tehp9GtUJvDw0mPEMM97SU+aPbva/JA5Vt\n8sxyrvd6fE7wSbLQsAVLb5GKZXN7vsZCrQlrrq1s81y7Y02YzOPV5rZ55JjQ+DDd3/KZgfWR0DOx\nTV9LVCCTRTzv+MyOP7n+zrTb95vbs1drQ5JzyQrBPI/Wl/uN6yDjcKQGfyWklbDeI9Jlq/h2SV+t\nqUvfuj32Okk/izKfkPR6TbfxCRx/bnu8k59ilJadIfVMk7TuUvAlzubraYFRgLp9CiI/S+Bg8x+D\nB+E3rQRbD7ZYvZhtKVEgpLdgK5JqNy34nPBtL3SS+8X3RfeV19H7SiJ8IY2fQWiZR1zk+fRzy9IR\nruM3qSURuE0/sGYLORVapjJ6XGxdciPADOTbmvQ1zERZg2sSnrEVS4XGeEMzFnLeE2a5q2luup00\nlEhnWkJAnuNs81zzeGRQv0GMLEdiRpJ5eoD6WiaVNBtz0u7OAoyvmNj22rxJheG23B49Q/c111/e\ni8fxNH5bUTAutVH3Gmno0XAlhHkf15nP0b5YD0H7lMH7NTlFSe+W9OOSvmX7+WZJ/1zS37s8S1uy\ncGDqIScyMzpcnh2b3/x9rinKkUFfwgNp+ST+eKp5IucCplunOO567kWZhVWHetOTYdpj9oMzP6Sl\nN+O6X8I3haTiN2kfFmyywso+cNZQWpTJr33UHI8MxBPTdSaPA6JCHWn9um0mFCQUwUXvevhE9D0t\nhazhqfSeUlm6zlPNxkEKaJ/neFNANis8FQINHnqCaTC0gK/ng995wHG3YZTzg0HZfcFMQm3m3R6E\nFW7Wz3EYQWRum+NHg25NCdKKb15LGkwU1uad3tO97b14Xp9o6te7mmSFjbuE5qj0970DhXQF3sDL\nQX9W0i9sf3/z9mP6SU0w0Wsl/TKO/11J/3JQ37Oauu/4OX6On+Pn+Ln451k9BnoTfn+9pB/e/n6z\npA9JerWkz5H0q5oDyB/QpBiuacomGgeQj3SkIx3pSJ8S9O8lfUST4P8Pkv40zr1bk4b6qKS/heNv\n2V7zrKTvfWXYPNKRjnSkIx3pSEc60pGO9ClD/0BTaO4zcexdkj6mybv4Yhy3d/ExSd/zCvH3bZI+\nrMkL+i+S3ohzh8Tnd2qKy3xY0o9K+gycOyQ+v1LSL2oKy31enDskPpOe1sTXxyR902PiQZL+jaTf\n1tQfps/UlPDxK5oe8nwK50Z9+nLTGyX9jKax/gVND6BKh8frE5og7A9J+iVJ/+RA+TSdSPo5TUk8\n0uHy+dD0Rk1B5v+tWRk47nAm6bM1wUqOO3xQcxrrKxV3eBK/v17Sv97+PjQ+3645L+efbj+HyOdf\nkPTnNQkKKoND45N0suXnszXx9yFJf/EV5sH0NyT9NS2VwXdI+kfb39+k9bG/zPNFD0Ov1fRQqjTl\nUf0vTX12iLz+ie33qabU+C84UD4l6e9L+reSfmz7/0r4fCVvYETfpflGTFf/4Nrl6JV7wO5y9H7N\nTz98QNIbDpTPj2qyYpIOjU/SW7f8fHzL37/TxO/joP8m6ffj2JdJ+sHt7x/U3D+tT9+qV4Z+S5Mw\nkqakyl/W9GzRIfL6R9vvV2tS/L9/oHy+QdKXajJIbShdCZ+PWxm8Q9ODaD8fx1+n5QNqfnAtj68/\nuHa19O2S/o+mPZjsRh4in6av1WRBq/BzSHySDpnP12vee0uaeTsU+ixN0JG235+1/T3q01eaPluT\nN/MBHSavr9KkuH5bM7R1iHx+t6R/qNnok66Iz1fisYXRg2vfognPIo51rZR7pejxPWD3cLSPT2ni\n85OS3vNKMVXoInx+KtGDx83AQ5BzztfOv5J0S1PG4Tdq6WWbl0Pg9Y81QVqfIek/S/qbhY/Hzeff\nlvQ7muIFb1vh45H4fCWUwdsHx/+ypucQPrz9/wZJ/0MTLPCclkHaN2jSas9phj58/LmXmc+k92i2\nuA+Rz6/R5EZ+EY4dIp+NHgefF6Xk7Y1aWl2Pm35bk/L9LU2w2u9sj7c+fSX77kyTIvhhTRtaSofL\nqyT9gaSf0JSwcGh8/nVNkNCXagp6/0lN/XpofF6aWgD5UB5c+1R5wO5pTe7ta+L4ofFp+hlNi850\nqHxKk+H0q5rgjlfr8QaQteUjA8jOcPpm7QYRW5++3HRNU3znu+P4ofH6Gs0ZODck/VdNxtSh8Un6\nQs0e9iHz+Uj0a1qmlh7Sg2ufKg/YfUzSr2tyI39O0/bhpkPi8ys04e93NVkz/wnnDonPpC/RlBHz\nrCaI83HReyX9piYo8Dc0QZafKemn1dMLR336ctMXaIJfPqR5Tj59gLz+FUn/c8vnz2vC5HWAfJK+\nUHM20SHzeaQjHelIRzrSkY50pCMd6UhHOtKRjnSkIx3pSEc60pGOdKQjHelIRzrSkY50pCMd6UhH\nOtKRjnSkIx3pSEc60pGOdKQjHelIR/pUpP8HUDPz/VDXmBUAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10cc72590>"
]
}
],
"prompt_number": 14
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Quickstart From URL"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"s = stats( url = url )\n",
"print \"Volume Fractions:: %f / %f\" % (s.spatial.real.max(), s.head.mean())\n",
"print \"Maximum Imaginary Value :: \" + str( s.spatial.imag.max() )"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Volume Fractions:: 0.468414 / 0.468414\n",
"Maximum Imaginary Value :: 5.40158167971e-16\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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TPSeu97yY6tX+K1uUU5SUw3f7TXRN3Gvh7zOlGBMikiYsvsnj1cEY9pFE17r+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\n3dJnI/3//0Dx+vRoLQUAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x10e6c1110>"
]
}
],
"prompt_number": 16
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Parametric Analysis of Imaginary Components After Communiting Convolution Functions With np.fft\n",
"\n",
"for v in np.arange( 101,1002,100):\n",
" sz = np.array( (v,v) )\n",
" A = np.ones( shape=sz )\n",
" \n",
" B = np.concatenate((\n",
" np.concatenate( (A, np.zeros( sz )), axis = 0 ), \n",
" np.concatenate( (np.zeros( sz ), np.zeros( sz )), axis = 0 ) \n",
" ),axis = 1)\n",
" \n",
" fB = np.fft.fft2(B)\n",
" fB = fB * np.conj( fB )\n",
" fB = np.fft.ifft2( fB )\n",
" \n",
" fA = np.fft.fft2( A, s = 2 * sz )\n",
" fA = fA * np.conj( fA )\n",
" fA = np.fft.ifft2( fA )\n",
" print v,fA.imag.max(),fB.imag.max()"
],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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