Skip to content

Instantly share code, notes, and snippets.

Created November 17, 2013 16:15
Show Gist options
  • Star 0 You must be signed in to star a gist
  • Fork 0 You must be signed in to fork a gist
  • Save anonymous/7515023 to your computer and use it in GitHub Desktop.
Save anonymous/7515023 to your computer and use it in GitHub Desktop.
{
"metadata": {
"name": "1_examples"
},
"name": "1_examples",
"nbformat": 2,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"source": "*To run the several examples, simply click in the code cell, and type shift-ENTER.\n*\n\n\nExamples\n========\nThis file implements several examples of the de-noising algorithms Cadzow rQRd and urQRd.\n\n<hr>\nA) Cadzow\n---------\nFirst example runs a test of the Cadzow de-noising method, based on the SVD decomposition of a matrix derived from the data-set (see theory).\n\nFrom the experimental data $X_i$, a Hankel matrix $H$ is built:\n\n$$\n(H_{ij}) = (X_{i+j-1}) \n$$\n\n$H$ is rank-limited to $P$ in the absence of noise.\nIn noisy data-sets, this matrix becomes full-rank because of the partial decorrelation of the data-points induced by the noise.\n\nCadzow (Cadzow JA (1988) *IEEE Trans. ASSP* **36** 49\u201362.) proposed to perform the Singular Value Decomposition\n( _see [SVD](http://en.wikipedia.org/wiki/Singular_value_decomposition) on Wikipedia_ )\nof the matrix $H$,\nand compute a matrix $\\tilde{H}$ by truncating to the $K$ largest singular values $\\sigma_k$.\n\n$$\nH = U \\Lambda V\n$$\nwhere $\\Lambda$ is a diagonal matrix containing the singular values of $H$.\n\n$$\n\\tilde{H} = U \\Lambda_k V\n$$\nwhere $\\Lambda_k$ contains only the $k$ largest singular values.\n\n$\\tilde{H}$ \nis not strictly Hankel-structured anymore, but a de-noised signal $\\tilde{X}$ can be reconstructed by taking the average of all its antidiagonals.\n\n$$\n\\tilde{X_{l}} = < \\tilde{H_{ij}} >_{i+j=l+1}\n$$\n\nRunning the example\n-------------------\nFigure presents the data-set on the left, and its Fourier transform on the right.\n\nThe data-set is composed of 8 equidistant frequencies of different intensities.\nGaussian noise is added to the data.\n\ncall is and default values are :\n\n def test_Cadzow(\n lendata = 4000, # length of the simulated data\n rank = 10, # rank at which the analysis is performed\n orda = 1600, # order of the analysis, the Hankel matrix is (lendata-orda) X orda\n noise = 200.0, # level of noise in the simulated data\n iteration=1, # the algorithm can be iterated several times for better (slower!) results\n noisetype = \"additive\") # possible noisetype are 'additive' 'multiplicative' 'sampling' 'missing points'\n\nyou can `test_Cadzow()` with modifying any parameter"
},
{
"cell_type": "code",
"collapsed": false,
"input": "%pylab inline\nparams = {'savefig.dpi':120,'legend.fontsize':6,'xtick.labelsize':'small','ytick.labelsize':'small','figure.subplot.wspace':0.5}\nrcParams.update(params)\nfrom Algorithms import Cadzow\nCadzow.test_Cadzow()",
"language": "python",
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "\nWelcome to pylab, a matplotlib-based Python environment [backend: module://IPython.zmq.pylab.backend_inline].\nFor more information, type 'help(pylab)'."
},
{
"output_type": "stream",
"stream": "stdout",
"text": "Initial Noisy Data SNR: -3.72 dB - noise type : additive\n=== Running Cadzow algo === lendata: 4000 orda: 1600 rank: 10\n=== Result ==="
},
{
"output_type": "stream",
"stream": "stdout",
"text": "\nDenoised SNR: 14.43 dB - processing gain : 18.15 dB\nprocessing time for Cadzow : 5.65 sec"
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAooAAAG0CAYAAAC17AbMAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n"
}
],
"prompt_number": 1
},
{
"cell_type": "markdown",
"source": "<hr>\nB) rQRd\n--------\n**rQRd** is based on a random sampling of $H$ by a random matrix $\\Omega$ :\n$$\n \\underset{(M \\times K)}{Y} = \\underset{(M \\times N)}{H} \\underset{(N \\times K)}{\\Omega}\n$$\nThe matrix $Y$ is much smaller than $H$, it can rapidly by factorized by **QR** \n( _see [QR](https://en.wikipedia.org/wiki/QR_decomposition) on Wikipedia_ ):\n\n$$\nY = QR\n$$\n\nfrom which a rank-truncated $\\tilde{H}$ is built by projection of the subspace defined by $Q$ :\n$$\n\\tilde{H} = QQ^*H\n$$\n\n$\\tilde{X}$ is then computed as before.\n\nThis second example runs the same test using rQRd.\nNote that test test here is run on 10.000 points rather than 4.000 \n\ndefault values are :\n\n def test_rQRd( lendata = 10000,\n rank=100,\n orda=4000,\n noise = 200.0,\n iteration = 1,\n noisetype = \"additive\")"
},
{
"cell_type": "code",
"collapsed": false,
"input": "from Algorithms import rQRd\nrQRd.test_rQRd()",
"language": "python",
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "Initial Noisy Data SNR: -3.89 dB - noise type : additive\n=== Running rQR algo === lendata: 10000 orda: 4000 rank: 100\n=== Result ==="
},
{
"output_type": "stream",
"stream": "stdout",
"text": "\nDenoised SNR: 13.45 dB - processing gain : 17.34 dB\nprocessing time for rQRd : 2.27 sec"
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAo4AAAG0CAYAAAC8B6a2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\njDHmF144MsYYY4wxv/DCkTHGGGOM+eW/FwyyyqJQassAAAAASUVORK5CYII=\n"
}
],
"prompt_number": 2
},
{
"cell_type": "markdown",
"source": "<hr>\nC) urQRd\n--------\nurQRd is based on the same grounds as rQRd but contrarily to rQRd, it makes use of fast matrix-matrix products.\n\nThose fast products are made possible thanks to classical FFT techniques using convolution products.\nFor urQRd, the product $H\\Omega$ has a cost of $KL$log$(L)$.\n\nThe matrix $Y$ is much smaller than $H$, it can rapidly be factorized by **QR** \n( _see [QR](https://en.wikipedia.org/wiki/QR_decomposition) on Wikipedia_ ) : $Y = QR$\n\nA second product is necessary for urQRd : $Q^*H$.\nIn this case the product has a cost close to $KL$log$(L)$ when using the fast structured matrix vector product.\n\n$\\tilde{X}$ the denoised signal is then computed from $Q$ and $Q^*H$ using FFT again and indices inversion.\n\nLet $U = Q^*H$, each $\\tilde{X_i}$ is obtained from the $i^{th}$ (${n_i}$ elements long) antidiagonal by :\n\n$$\n\\tilde{X_i} = \\frac{1}{n_i}\\sum_{j=max(i-M+1,1)}^{min(i,N)} H_{i-j+1,j}\\approx\n\\frac{1}{n_i} \\sum_{k=1}^{K} \\sum_{j=max(i-M+1,1)}^{min(i,N)} Q_{i-j+1,k}U_{k,j}\n$$\n\n$$\n\\;\\;\\;\\;\\;\\;\\;\\;\\; = \\frac{1}{n_i} \\sum_{k=1}^{K}\n \\sum_{j=max(i-M+1,1)}^{min(i,N)} Q_{i,j}^{(k)}U_{j}^{(k)}\n= \\frac{1}{n_i} \\sum_{k=1}^{K} (Q^{(k)}.U^{(k)})_i\n$$\n\n$Q^{(k)}$ is the $L \\times N$\nToeplitz matrix formed with the vector\n$[0,....0,X_{0},X_{1},..X_{L},0,....,0]^T$ with $(N-1)$ zeros at each extremity of the vector.\n\n$U^{(k)}$ is the matrix $U_{i,j}$\nThis last operation has a cost of $K(L+N)$log$(L+N)$.\n\nurQRd scales globally in $KN$log$(N)$.\n\nAll those fast calculations are based on the FFT fast matrix-vector product.\n\n**Fast Hankel Matrix vector product**\n\nLet $H$ be a Hankel matrix of dimensions $M \\times N$, $g$ its generator vector of size $M+N-1$ and $v$ a vector of size $M$.\n\n$w$ is a vector of size $M+N-1$ defined from $v$ as :\n\n$w_i = v_{i}$ for $1 \\leq i \\leq N$ and $w_i = 0$ for $N+1 \\leq i \\leq M+N-1$\n\nlet $P$ be the swapping matrix that swaps vector element $i$ with element $M+N-i$.\n\nThe product Hankel matrix H with vector v, $Hv$ is made faster by performing the calculation:\n\n$Hv = FFT^{-1}(FFT(g).FFT(P.w))$\n\n\ndefault values are :\n\n def test_urQRd( \n lendata = 10000,\n rank = 100,\n orda = 4000,\n noise = 200.0,\n iteration = 1,\n noisetype = \"additive\")"
},
{
"cell_type": "code",
"collapsed": false,
"input": "from Algorithms import urQRd\nurQRd.test_urQRd()",
"language": "python",
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": "Initial Noisy Data SNR: -4.00 dB - noise type : additive\n=== Running urQR algo === lendata: 10000 orda: 4000 rank: 100\n=== Result ==="
},
{
"output_type": "stream",
"stream": "stdout",
"text": "\nDenoised SNR: 13.22 dB - processing gain : 17.22 dB\nprocessing time for urQRd : 0.42 sec"
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAo4AAAG0CAYAAAC8B6a2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAASdAAAEnQB3mYfeAAAIABJREFUeJzsnXdYFFf3x7+zNEUwiEYQiAIqKiqCHRtgj71GX4OEGBux\nIK+xa0SjgRSi0WCLvmCLRqOxxJjYEDvYAEuMguAvgljAiFKk7Pn9Me7sDrsgKroI5/M88+zOuefe\nOXdm9+zZW0EMw5RbwsLCSBAEOn/+PC1btowEQaCIiAgp3cPDg5o2bSrLM3jwYBIEgXr16kXbt2+n\n4cOHk6GhIbVr146USqWk5+npSV5eXtL5jRs3yMDAgLy9vWn79u10+PBhWr16NU2ZMkXSefToETk4\nOFDNmjXJ39+fdu3aRcOHDydjY2OaPHlysXW5ePEi1a1bl1q0aEFRUVEUFRVFMTExREQUEBBAZmZm\n9OjRI1meadOmkampKaWnp8vuR8OGDalVq1a0adMmmjBhAlWuXJkcHR0pOztbyvvrr7+SgYEBtWrV\nipYtW0Zr164lNzc3MjY2pqioqOfeew8PDxIE4bl6jx49oo8++og2bNhAR44coc2bN9Mnn3xCgiDQ\nrl27ZLq9e/cmhUJBgwcPpu3bt1OfPn2oYcOGJAgCLViwQNI7deoUGRkZ0XvvvUdLly6l4OBgqlWr\nFjk5OZFCoZCVaW9vTx9//DEREWVkZFB4eDgJgkCff/65dJ+Tk5OJiGj+/Pmy/Hv27CFBEOjQoUOy\nMq9evUqCINAPP/wgyaZOnUqGhobUp08f2rJlCy1YsIBsbGzIzs6OMjIynnufGIYpG0DfBjAM8/rQ\nDBxzc3PJ0dGRWrVqJaUXDhwjIyNJEASaNm2arJzly5eTIAi0ceNGWV7NwHHu3LlUqVIlysnJKdKe\ngIAAyR5NJk2aRIaGhnTjxo1i69O4cWPZNVXcvHmTDAwMaOnSpZIsOzubLC0t6ZNPPpFkqvvRsWNH\nWf5ff/2VBEGgkJAQKa+NjQ25uLjI9PLy8qh69erk4eFRrJ1ERF26dCEjI6Pn6hVGqVRSXl4ede/e\nndq1ayfJjx49SoIg0Lx582T6/v7+WoGjp6cnVa5cmTIzMyXZgwcPSKFQFBs4EhGdPXuWBEGg9evX\na9k2f/58WTCcn59P1tbW9OGHH8r0pk+fTpUqVZIC9osXL5JCoaBJkybJ9M6fP0+CIND8+fOfd1sY\nhikjKMAwTIXAyMgIixcvxrlz57Bt2zadOsePHwcA9OvXTyZXnZ88ebLI8rt3746nT59i6NCh2L59\nO9LT07V0Dhw4gDZt2qBZs2bIz8+XjoEDB6KgoADR0dEvVTcHBwf07t0bK1askGQ//fQTHj58iIkT\nJ2rpv//++7LzLl26wMjISKrf5cuXcefOHYwbN05mJwD07dsXUVFRz7Xp0KFDyM3NLZH9+/btg5eX\nF6ysrGBgYABjY2McPHgQf//9t6SjejaFbS98rlQqcerUKXTs2BGmpqaSvHr16mjdunWJ7CkpBgYG\nGDlyJH799VdkZGQAAAoKCrBx40b069cP1apVAyDeCyLC2LFjZffTxcUF9vb2OHXqVKnaxTDM64MD\nR4apQAwfPhzNmzfH3LlzpUBIk9u3b0MQBK0Ao3bt2rCyssI///xTZNkdO3bEb7/9BqVSiREjRqBW\nrVoYNmwYTp8+LekkJiYiKioKRkZGMDY2lo4uXbpAEATcunXrpevm7++PGzdu4ODBgwCA0NBQtGvX\nDq6urlq6hetnbm6OBg0aIDk5WbITACZOnCiz09jYGOvXr0dubi7u3Lnz0rZq8scff6Bv376oUqUK\nVq5ciePHj+PcuXMYOXKkLPhOTk6GQqFAy5YtZflbtWolO79//z7y8vJ0BomtWrUCEZWK3So+/vhj\nZGdnY+vWrQCAP//8E6mpqRg1apSko7qfLi4uWvczKSnplZ47wzBvFkN9G8AwzJslODgY3bt3x5o1\nayAIgizNzs4ORISzZ8+iffv2kvzWrVu4e/cu3nvvvWLL7tWrF3r16oXMzEzs2bMHQUFBGDBgAG7f\nvg0jIyPY29vD1NQUq1ev1pm/Vq1aL12vzp07o3Hjxvjhhx9QpUoVXLx4EZs3b9apGxUVhS5dukjn\njx8/xrVr19C3b18AQJ06dQAAgYGB6NOnj84yatSo8dK2arJ582ZUrVoVmzZtgoWFhSSPi4uTPR9b\nW1solUqcPXsW7dq1k+SFW2nfffddGBsb62wVjY6O1nrmr0qjRo3QunVrhIWFYezYsQgLC4OtrS26\nd+8u6aju5549e2BjY6NVhomJSanaxDDM64MDR4apYHTt2hXdunXDwoULtQLBTp06AQB+++03WeC4\nd+9eAGKrYkmoUqUK/vOf/yArKwtjxozB6dOn0alTJ3Tt2hU//PADzM3NUb9+/Re2vWrVqkhNTS0y\nffLkyfDz80NGRgasra0xdOhQnXr79+/H7NmzpfNDhw4hPz9fqnPTpk1hZWWFAwcO4PPPP39hO18E\nc3NzVKpUCVWqVJFk8fHxiI2NlQV5qnu/f/9+WeC4f/9+WXkKhQLu7u44fvw4MjMzpXIfPHiAs2fP\nPteeqlWrAkCx97kwo0aNwvjx43HixAns3bsXU6dOldmualE+c+YMFi1aVOJyGYYpg+h5jCXDMK8R\nzckxmqgmKwiCQE2aNJGlDRkyhBQKBfXt25e2bdtG//nPf8jIyIjat28v0/Pw8CBPT0/pfPTo0TR5\n8mTaunUrHTlyhFasWEH16tUja2tr+vfff4lInLVbr149sre3p0mTJtHu3btp3759FBoaSn369KHb\nt28XW5/x48eTQqGgFStW0JkzZyguLk6WnpWVRZaWltKs4KLuR4MGDahly5a0ceNGmjBhAlWqVIkc\nHBxks6r37t1LhoaG5OnpScHBwXT48GH65ZdfaN68eeTn51esnUREnTt3JkNDw+fqnTt3jgRBoGHD\nhtHOnTspICCALC0tqVmzZlqzst9//31pVvXPP/9MvXv31jmr+uTJkzpnVTdo0ECrzDp16sgmx2Rn\nZ5OFhQW5ubnRrl276OzZs5SSkkJE2pNjVDx69IhMTU3Jzs6OBEHQOclp+vTpVLlyZRo8eDCtWrVK\nmkHu5+dHK1eufO59YhimbMCBI8OUY8LCwkihUGgFjkREH374IQmCoLUcT35+Pi1evJhcXFyoSpUq\n5OzsTDNmzNCaLV14OZ4NGzZQly5dyNramkxNTalTp040b948un79uizfkydPaPbs2eTq6kpmZmZU\nvXp1at26Nc2bN082C1gXKSkpNGDAAHr33XdJoVCQg4ODlo6vry8ZGxtLwU7h+yEIAp06dYr8/PzI\n0dGRatasSUOHDqW7d+9q6V+6dIkGDx5Mjo6OVKlSJXrvvfeob9++tGPHjmLtVN2fwjOYi2Lz5s3U\nq1cvqlatGnl4eNDOnTspMDBQK39OTg5NnjyZ6tSpQ1ZWVjR48GC6c+eOVuBIJM6Qb9++PVWtWpVa\ntGhBa9as0Vlm4VnVROIyO82aNSMzMzNZ2YWX49Hkww8/JIVCoTVjXZNdu3aRl5eX9BmpV68e+fr6\n0oULF0p0nxiG0T8CUSmPlGYYhtETjx8/Rr169dC5c2ds2bJFKz08PByjRo3CuXPn0Lx5cz1YyDAM\n83bDYxwZhnnrefDgAS5duoRVq1YhPT1dNn6RYRiGKT14OR6GYd56fvvtN3Tt2hUJCQkICwtD06ZN\ni9Qt7VnFDMMwFQnuqmYYhmEYhmFKBLc4VnDs7e3h4OCgbzPeCo4ePQqFQoEFCxbo2xSGYRiG0Qsc\nODKl0nWnUCjg5eVVCtaUfbirk2HeThQKRbHH+vXrJd3AwMBidR0cHLB+/frnlln4KK/wH+uKA0+O\nYUqN8h5QtWnTBteuXSu1HUMYhnnzCIKA+fPn60xzc3PTknl6esLT01NLbmFhAVdXVwQGBsrkiYmJ\nWL9+Pezt7eHr61sKFr9dlPffAYYDR4YpMZUrV4aTk5O+zWAY5hV5kd2APD09i9Vv1qyZ7DwyMlIK\nHF/3rkNlEZ42Uf4pv+3mjIyNGzeiQ4cOsLCwQKtWrTBr1izk5ubq1M3IyMA333yDzp07w87ODqam\npnBycsKwYcNw/fp1mW54eLjU/aLqqlAdml0W4eHhGDx4MBwdHVGlShW899576NatG/78888Xqkd+\nfj527NiBTz/9FA0aNECVKlXg4OCAAQMG4PDhw1r6qampGDduHNzc3GBubo5GjRph1KhRuHv3rpau\nr68vFAoFbt26hfDwcPTs2RPVq1eXuuCL64p5+vQpFi5ciA4dOqBatWqoU6cO+vXrh3Pnzr1yHRiG\neXt41cDp9u3b+OGHHzBw4EBYWlqievXqcHFxgZ+fH9LT0yU9le9dv349IiMjMXDgQFhbW8PR0REf\nffQR7t27p7N8pVKJ5cuXo3PnzqhZsyZq1aqF7t2748CBA0XadOHCBQwdOhSNGjWCqakpateuLfNX\nvr6+6Ny5MwBgwYIFst+BY8eOadl76tQpfPDBB7C3t5d+P5KSkqBQKPDxxx/rtMHT01Orq1/TJ//9\n99/48MMPYW9vj7p168Lf31+6B7dv38akSZPQtGlTVK9eHb169UJiYmJJHgejA25xrADMmTMHQUFB\nsLKywpAhQ2BkZIStW7fiypUryM/Ph7GxsUz/6tWrmDt3Ljw8PNC3b19UrlwZx44dw44dO7B7925E\nRETA3d0dgNi1M3/+fCxYsECra0aze+fTTz9FkyZN4OnpiZo1a+L8+fM4efIkDh8+jG+//Rb//e9/\nS1SXCRMm4Mcff4SjoyNat26NQYMGISUlBSdPnsSff/6JLl26SLoREREYMmQIHj58CAcHB/j4+OD4\n8eMIDw/H3r17ERkZCWdnZ61rLFq0COvWrUOTJk0wevRorftTuCsmJSUF3bt3x9WrV1GtWjX0798f\nKSkp+P333/HHH38gPDwcI0aMeKk6MAxTcbh//z7c3d2RmpqK1q1bw9vbGwYGBrh58yY2bdqESZMm\nwdLSUpbnyJEj2LlzJ7y8vDBy5EicO3cOGzduxOHDh3Hs2DE4OjpKupmZmejZsydOnjwJMzMzvP/+\n+8jLy8O+fftw6NAhBAUFYcaMGbLyv/nmG8yaNQuVKlVCz5490b9/f9y9exenTp3C5s2b0aVLFwwc\nOBCCIGD9+vVaXfv29vay8g4ePIgJEybA3Nwcw4YN0wpwi+vqLirt8uXL8PDwgCAI6NevH/bv34/l\ny5fjr7/+wsaNG9GtWzekpqZi0KBBOHXqFP744w94enri1q1bxT0Opij0uW0N8/q5cuUKGRgYUJ06\ndWRbsD169IiaN29OgiBobdv26NEjSktL0yrr8uXLZGBgQC1bttRKEwRBtv1cYW7evKkly87OJnt7\nezIzM9O53VthcnJyyNjYmOzs7GR7CqvQtDkrK4vs7e3J2NiYTp48KdOLjIwkhUJBXbp0kck/+ugj\nEgSBqlevTpGRkVrlR0RE6NzabejQoSQIAi1ZsoTy8/Ml+T///EP29vZUo0YNSk9Pf+E6MAxTugiC\nQIIgUGBgIM2fP192hIeHy3RV+3J7enpq6c6fP5+SkpJ0XkPlJ4rzh0Xxv//9jwRBoICAAK20rKws\nmc9QbZ8pCAJt2bJFprtw4UISBIE++OADmXzatGkkCAJNnTpVtoXo/fv3qU2bNmRiYiLbZ/z8+fNk\nYGBAdnZ2Ovcf19xbvij/qMveNWvWUF5eniw9MTGRBEHQ2v5ShYeHh9Z2l6prCoJA33zzjVRmfn4+\nDRgwQPLnU6ZMkW1nOmnSJBIEgWJjY3VeiykeDhzLOZ9++ikJgkBTpkzRSluyZInOwLE4hgwZQoIg\n0OPHj2Xyl3WUP/zwAwmCQHv27Hmubk5ODllaWlLjxo1JqVQWq7ty5UoSBIFGjRqlM71Tp04kCILM\n+asCx5EjR+rMo8sx/vXXXyQIAjk5Oem0SfXjo/pRepE6MAxTuqiCDF1HYf+l+u7qOhQKhc4/l0Sv\nFjhu376dBEGg4ODg5+qqArGaNWtqpaWlpZFCoSADAwO6c+cOERFlZGSQkZERVatWjTIyMoosLzAw\nUJKp/P306dOfa09JA8fatWvrTH+VwNHCwkIrEF27di0JgiC7ByoOHTpEgiDQ119//dx6MdpwV3U5\n59q1awCAHj16aKX17NmzyC7imJgYLFmyBNHR0UhOTsaTJ0+kNEEQcOPGDZ0zEIvizp07WLZsGfbv\n34/bt2/LxuoAQEJCwnPLMDExgbe3N5YvXw4nJycMHToU3bt3h7u7O0xMTGS6ly5dAgAUFBRozXoE\nACMjIwDA9evXUadOHVlar169Slwv1XVq1aqlc+zj7du3peu8aB0Yhil9BEFAQUFBifUDAwPf2CSX\n/v37o0aNGpg7dy4OHjyIIUOGwMvLCw0aNCgyT7du3bRklpaWaNWqFaKjo/H333/D2toa165dQ35+\nPmrXro2QkBCtPCofrzmO/fLlyxAEAUOGDCmF2om8//77pVaWin79+sHQUB7OqIZTtW/fHtbW1jrT\nIiMjMW3atFK3p7zDgWM5JyUlBYIgoFWrVlppDRs2hJmZmZb8yJEj6NGjB4yMjNC5c2d0794dFhYW\nMDAwQEREBCIjI/H48eMS23Dnzh20atUKd+7cQZs2bTBs2DBYWFjAxMREWroiIyOjRGWFhISgTZs2\nWLZsGYKDgxEcHIwqVapg+PDhCA4ORvXq1QGIA60BYMOGDUWWJQgCUlNTteRt2rQpcd1U1zl27Jg0\nCPx51ylpHRiGqVgYGRkhNjYWK1aswJo1a3DkyBEA4jjBWbNmYcyYMVp5dPl2AGjdujWio6ORkpIC\nQO2r4uLiEBcXpzNPYV9169YtVK5cuchrvAwv4l9LSt26dbVkpqamz03LysoqdVsqAhw4lnNsbGzw\n999/Izo6Wuuf3l9//YUnT55orUs4Z84cKJVK/PTTTxgwYIAs7dSpUy9sw7Jly5CSkoLJkydj6dKl\nsrTg4OAXKsvQ0BAjRozAiBEjcPv2bRw9ehTr1q3DunXrYGhoiJUrVwIA7OzsAACnT59+YUdlYGBQ\nYl3VdXQNKn/VOjAMU/GoVasWvvjiCwQGBuLixYs4ePAgli9fjnHjxsHFxUXLn0VHR+ssJyoqCgBg\na2sLQO2rxo0bV2IfU6dOHen3o3Xr1i9bJRlF+VdVL5CuYI6IcPPmzVK5PvPq8HI85ZxGjRoBgM5l\nb/744w+dea5du4Y6depoBY3379/H4cOHdc5sMzAwQE5OTpHlAdDZLb5ly5biK1AMdnZ28Pb2xh9/\n/IEaNWpg8+bNyM7OBgC4uroCAE6cOPHS5ZeEV71OcXVgGKbiYmBggJYtW2LWrFkIDQ0FAKxZs0ZL\n7+DBg1pLAKWlpeHcuXNQKBRSN3eTJk1gYGCAU6dOlXjJoKZNmwIAfvnll+fqqgK/on4HnoeVlRUU\nCgWOHz+ulXby5Elp2A+jfzhwLOdMmDABBgYG+PXXX6UuCwB49OgRNm7cqDNP7969kZSUhCtXrkiy\nBw8eYP78+UWODbKxsUFsbCzy8/N1lgcAv/32myR7+vQp1q1bJ40RLAkPHjyQ/kVrcvfuXTx58gRK\npVJaOsfHxwf29vZYuHAhfv/9d601K5VKJY4ePVriaxdFo0aNMGTIEOzbtw/fffcdHj16pKVz6dIl\n3L9//4XrwDBMxeLs2bM615iNj48HoLu1Li0tDVu3bpXJQkNDQUQYMmQIrKysAADm5uYICAjApUuX\nMH36dJ3rPCYkJEhd2gAwa9YsGBgY4KeffsKNGze09DV/U2xsbABA59q1JcHQ0BBNmzbFnTt3ZMN+\nHjx4gCVLlrxUmczrgbuqyzmNGjXCjBkz8OWXX6J58+bo3bs3jI2N8ccff8DFxQX37t3T+vc5fvx4\n/PTTT3B3d0fXrl1RqVIl7Ny5E++++y4++OADbNu2Tes63bt3x7p169CpUyd06tQJZmZm8PDwQMeO\nHTFixAh89tln8Pf3x88//4xGjRphx44dePz4MT799FOsWLGiRHW5ffs23N3d0ahRI7i5ucHW1hbx\n8fE4efIknj59ijlz5kiOtUqVKti4cSMGDRqEPn36oGrVqujduzdq1qyJf/75B6dPn8bDhw9LZYzL\nihUrcOPGDXz22WeYNWsWPD090axZMyQnJyMuLg5XrlzBmTNn8O67775QHRiGqVhs3rwZK1asgIeH\nB+rWrYvKlSvj/PnziI6Ohrm5OSZMmKCV58MPP8TYsWOxZcsW1K9fHxcuXEBkZCRsbW0RFBQk0/3i\niy9w4cIFhISEYMmSJXB3d4e7uzvu3r2Lv/76C+fOncPWrVultRfd3Nzw5ZdfYvbs2XB1dcX777+P\nunXrIi0tDSdOnIC7uzvCwsIAiN3aTk5OiIyMRN++fdGiRQsYGhrCx8cHtWvXLlH958yZgw8++ACe\nnp7o3LkzLC0tsWfPHrRu3Rpubm64ePHiq91gplTgwLECsGjRIjRs2BCrVq3Cjh07UL9+fQwfPhwL\nFy6Ek5OTVtdzhw4dEBERga1bt2LXrl2oUaMGRowYgcDAQISFhensqg4ODoZCocCBAwewZMkS5Ofn\nY/78+ejYsSNMTU0RFRWFn376CT///DNu3boFT09PfPrpp1AoFCUOHB0cHLBgwQIcPXoUR48eRXp6\nOlxdXTF69Gh07txZ2rlARfv27fH3339j8eLFOHnyJPbv34+CggLY2tqia9euGDx4sExfEISX2me1\nRo0aOH/+PEJDQ7F7925cvnwZx48fR61ateDs7Ax/f380adLkperAMIx+eFl/8Cp7NY8YMQK5ubk4\ndeoULly4AIVCgU6dOuHbb79F79694eDgoJWna9euGD16NJYsWYLNmzfD1NQUI0eOxDfffIOaNWvK\ndE1MTHDo0CFs3rwZGzduxLVr13Du3DlYWVmhfv36WLp0Kbp27SrLM23aNHh6eiI4OBhxcXHYt28f\natasiZYtW+Kjjz6S9BQKBbZv345Zs2bh/Pnz2L9/P4gInTp1kgLH592bIUOG4JdffsFXX32Fc+fO\nwd7eHhMnTsSiRYvw/vvv8z7YZQSBSjrYgWEYhmGYMkF4eDhGjRqF8PBw+Pj46NscpgLBYxwZhmEY\nhmGYEsGBI8MwDMMwDFMiykTguHTpUnTv3h01atRA7969sXr1ai2dkJAQNGrUCDVq1MCAAQO0Fm4u\nKCjAzJkz4ejoCGtra/j4+Mh2O2EYhnkTvCl/lp2djTFjxsDOzg516tSBv7+/1qoGaWlpGDp0KGrW\nrAknJyd88cUXWrYkJiaiZ8+esLS0RNOmTXXay5Q9XnYMJsO8Mvrb7VBkz549VLlyZdq4cSP99ddf\ntHr1ajIwMKATJ05IOsuWLSNjY2OaPXs27du3jxo0aEANGjSggoICSee///0vmZubU0hICG3ZsoVs\nbGyoa9eu+qgSwzAVlDfpzwYNGkRWVlYUHh5OoaGhZGFhQaNHj5bptGjRghwdHWnXrl20YMECqly5\nMi1atEhKz87OJltbW3J1daWDBw/SpEmTyNDQkDZt2vSa7hDDMG87eg8c//Of/9DgwYNlMi8vL5ow\nYQIRESmVSnJwcKC5c+dK6Xfu3CFBEGj37t1EJG7eXrVqVVq7dq2kc/r0aRIEgWJjY99ALRiGYd6c\nP0tISCADAwM6dOiQpLNlyxYyMTGh+/fvExFRREQECYJA8fHxkk5QUBBZWVlRXl4eERGFhYWRoaEh\n5eTkSDrjxo0jNze3UrkfDMOUP/TeVd2/f38cOXIEZ86cwdOnT3HkyBFERUWhX79+AMSFkZOSkqQd\nOgDA2toaVlZW0kLKV65cwePHj2U6Li4uUCgUOhdbZhiGeR28KX8WHR0NpVIp03F1dUVubq601t2Z\nM2dgbm4u26vX1dUV9+7dQ2JioqTTsGFDmJiYyHRiYmK0Fs1nGIYBysA6jsOGDcPTp0/Rrl07KBRi\nHLtz5050794dAJCcnAxAdJyauLq6SmnJyclQKBTSWnmAuIl5/fr1JZ3CWFtbIzMzs8QLkzIMUzr8\n3//9H6pUqaI1rq888Kb8WXJyMqytrVG9enVJx8nJCaampjIdzTJU11GlqcrTZQsg7gqiWghaE/ad\nDKMfyorv1HvguGHDBsycORMhISFo3749IiIiMGbMGCiVSq29kjWhV1x+MjMzE1lZWdJWToWxtLSE\npaXlK11D36Snp7/1dSgOrl/ZJj09Henp6VryvLy8l97PtqzzOv3Zy/i85+URBOGFy2Xf+fZTnutX\nHupW1n2n3gPHb7/9Fr6+vggICAAAtG7dGklJSVi6dCkGDBgAW1tbAEBcXBzq168v5YuJicEnn3wC\nALC1tYVSqcTly5fRokULAEBWVhZu3Lgh5S9M7dq1ER8fj6dPn77O6ukVZ2dn2X7T5Q2u39tJ48aN\niww63nZepz+Lj4+X8tva2iI1NVX2I3n9+nVkZWXJdNavXy+zLyYmRkoDxP2FT5w4oVNHtfdwYdh3\nvv2U5/qV57qVFd+p9zGORkZGMDIykskMDQ0lmZWVFRwcHCRnBgCpqam4d+8e2rZtC0C8mWZmZjKd\nuLg4KJVKSYdhGOZ186b8WevWraFQKGR798bExMDY2Bhubm4AgLZt2+LJkydISEiQ6ahsAAB3d3dc\nv35dFgTGxMTAzc0NxsbGpXJPGIYpX+i9xXHs2LGYN28e7Ozs4O7ujsjISGzYsEHaOF0QBAQEBGDa\ntGkgIrRr1w5Tp05FgwYN0KdPHwCAubk5xo4di6lTpyIjIwM2NjaYOnUqunbtiqZNm+qzegzDVCDe\nlD9zdHTEgAED4O3tja+++gqZmZmYO3cufHx8UKNGDQCAp6cnWrRogZ49eyIkJASxsbEIDg7GnDlz\nYGgouv7hw4dj7ty5aNeuHYKDg7Fv3z6sW7dOq6WSYRhGhd73qs7JycH//vc//Pbbb4iOjkbHjh3R\np08f+Pr6wsDAQNILCQnB2rVrcf/+fXTo0AGrV6+GlZWVlK5UKjF79mxs27YNWVlZ6NGjB0JDQ2Fm\nZqbzuqrdpz0MAAAgAElEQVQm35ycpyiva6g6Ozvj6tWr+jbjtVHS+i1cuBA///zzG7CodImPj0e9\nevX0bcYrM2zYMHz++efSueq7Vx67Ot+kP8vJycHkyZOxb98+GBgYYNCgQQgJCZFdJz09HePHj8fR\no0dhYWEBHx8fzJ07V2ZzUlIS/Pz8EBUVBVtbW0yaNAljx44tso7l+fmpKA++szi/V158iy7KU93K\nqu/Ue+CoLxo3boyrV+Px8OFTWFjo25rXQ3lwfsVR0vqpvmzlxZm8Tajuu+aYo7Li/JiXoyI8v/Lg\nO9nvvd2UZd+p967qskZeHlBoiBJTDij8BWTeDI0bN9a3CQxTYWG/9/ZSln2n3ifH6Bf5lP3z5wFj\nY2DtWj2ZU8pMmDBB3ya8Vsp7/cozb/tyGRWd8v782LcwZZWy8N3jwFGD334TX5cs0YMpr4Hy7vzK\ne/3KM2XB+TEvT3l/fuxbmLJKWfjuVfDAUY1SCQQGasuvXgVOnXrj5jAVhMDAQISEhLzx686fPx+H\nDx8u9XLt7e11LlzLMAwD6M/nlRZLly5Fdna2vs3QKxU+cFQN/yhqS+vGjYH27YFRo96cTUzFQdDT\nlP4FCxagS5cupV6uvurDMK8bIuDJE31b8fbztvuI77//HllZWTrTlErlG7ZGP1T4wLFDB/E1P794\nvWfLsAEADh4EKlcGbtwAHj8GHjx4ffYx5Yc///wT/fv3h6urKz766COt9OTkZEybNg3u7u746KOP\nkJiYCADYu3cv2rZtCzc3N3z66adSi15gYCD8/Pzg5eUFFxcXbN26Ved1Z86ciRYtWsDFxQXff/89\nAMDX1xc7duwAAERFRaFLly5wc3PDzJkz0bdv3+eWP3DgQLRo0QKdO3fGr7/+Wno3iWHKKJ99Bpib\nA0lJ+rbk7aEs+TxPT0/Mnj0bTZs2Rf/+/XHt2jUA4rJW3333HTw8PNC7d28cPXoUgLhd5+rVq9Gx\nY0c0a9YMP/zwA5YvX46UlBR4eXlJf7zNzMwwb948uLq64vTp07Jel3PnzsHLy0uyfdy4cejUqRPq\n1q2LAwcOYN68eWjSpAn8/PxeeRvlNwpVUJydnQlwJtUdOHaMSPxPSeTsrNZTyQCiadOIYmKIXF3F\n89mz1Wma3L5NFBhIlJ2tlvXqRTRzplzv77+JVqx4PfVj1Dg7O5Oz5kPVA5mZmVS3bl26fv06ERE9\nfPiQiIgCAwPp22+/JSKiUaNG0blz54iIaN++fTR+/HiZLhHRV199RatWrSIiovnz51PTpk3p4cOH\n9H//939Ut25dresmJCRQx44dpfNHjx4REZGvry/t2LGDiIiaNGlCFy5coMzMTOrVqxf17dv3ueWn\np6dL5bm5uUlye3t7SktLk8513fuy8DyYl6eiPj+Vr9+1S9+WlAx9P6ey5vM8PT3pgw8+oKdPn9LP\nP/9Mffr0ISKisLAw+v7774mIKDU1lVq3bk1ERBEREdStWzfJ16leC/s4QRCk/IXTz549S56enpLt\nzZo1o4yMDDp69CiZmZlReHg4KZVK6tKli3QfVJRl38nL8eigqMD/m2+A774DitqMJioKSE0FBgwQ\nz995B5gyRXz/++/iERSk1ndxAZ4+BTp3Bho0UMt5SaA3R79+gMaObC9E3brAnj0l0923bx+6du0q\n7U9sobF4qCAIyM/Px++//44LFy5o5b1//z6mTZuGM2fOIC8vD87Ozhg3bhwEQUD//v1hYWEBCwsL\nGBgY4N69e6hZs6aU187OTloE2sfHB+3atZOVffv2bSgUCmmbug8++AC//PKLZFdR5W/duhW//PIL\n7t27h3/++QeXLl3iXZoY5i3hTfi9sujzhg8fDmNjYwwePBgBAQHIzc3Fjh07kJSUJO3u9PDhQ9y8\neRPbt2/HqFGjUK1aNQCQXgujUCjg6+v73PshCAL69esHc3NzuLu74+nTpxg+fDgEQUCbNm1w+vRp\naW/6sk6F76pWoRks/vUX0Lw58OiRtl5Bgfr9l1+q32dkAG3bqoNGAHj4UDv/Tz+p36vW8NQcLnH1\nqrgk0LJlL2Y/U/ahYroilEolFAoFzpw5g4sXL0oHACxevBju7u7SlnEPNT5Yms7Y2NgYOTk5snKN\njY0RGxuLbt26YcGCBZgxY4YsvfB4o8I26ir/5s2bWLlyJbZv345Lly7BwcFBZhPDMAxQ9nyepj0q\n36dUKhEaGipdPykpCY6Ojs+1X0XlypVRtWpV6bxSpUrSAt2FJwq+8847ko0mJiYwMTGRzvW9qPeL\nwIEjgNOngVu35LKLF4Fhw0peRmZmyfQ+/LD49IMHxVfNlknm9bFnjzhB6mWOkrY2AkDv3r1x6NAh\nXL9+HQBkjpCIYGxsjF69emHlypUoKCgAESEuLg6AOA6oXr16yMnJke0hXBKnlpaWhszMTAwePBiB\ngYGSY1Zha2sLIkJMTAyysrLwyy+/SA61qPJTUlLw7rvvwtLSEidPnkRsbGzJbwTDMHrnTfi9subz\niAjbtm1Dbm4ufv31VzRv3hzGxsYYMWIEVq9ejcePHwOApD9kyBCEhYVJwZ/K/jp16uDevXtFXt/d\n3R1Hjx5FXl4eNm7c+EK2vy1w4AigXTvAx0db/uefuvV1fWZeZaKY6g8TEVCoQQgAcPgw0Lev2NXN\nvJ2Ymppi5cqVCAgIQLNmzTB16lQpTRWoLViwAKmpqWjZsiWaNGmCPc889OzZszFlyhR07NgRrq6u\nkr4gCM+doZicnAwvLy+4ubnh888/x8KFC7V0Vq9ejf/+979o3749ateuDQcHh2LL79ChA+rUqYNG\njRph6dKl6Nq168vdFIZhyi1lzecJggBHR0e0aNECGzduxDfffANADBBbt26NHj16oEmTJpg/fz4A\nwMPDA4MHD0bv3r3h6uqKLVu2AADGjh0LHx8faXJMYXsmTZqEVatWoXXr1nB0dCzS9sL53qbZ5hV8\nr2oAKJ3tmI4dAzp1kss+/xyoXx84cwYIDVXLiYDEROBZa7gk++svwNlZPLe2Bu7cEd9rfp5UTysj\nA9iwARg9GqhUqVSqUG5Rbd3EW2/pJjMzE1WqVEF2djZ8fX0xatQo9OjRo1TK1nXv+Xm83VTU56fy\nw7t3i2MEyzoV9TkVhZeXF0JCQtC8eXN9m1IiyrLv5MkxpUThoBEQAz8dDTwAgEGDtGXPWxJIk//+\nF1i3ThyH2bKl2NU+dqw6XakE/v4baNhQ7fBu3ABMTQFbW7negweAxthipoLx448/Yv369SAiDB48\nWFo+gmEYbSpmUwvDqOGu6tfIjz8Wnfa8tR+Lck6CACxerJ4Rd+EC0LMnMG6ceL5nD3DtGtCsmdh6\n+fPP6rxOToCdnbw8Hx/Aygr45x+5PDe3ePuY8sOUKVNw8eJFxMTEYN68eTA2Nta3SQzDMKVKRETE\nW9PaWNbhwFEPTJ8O3L5dvM7du2L3ty7mzlW/37lT/T43F+jfH2jUCLh8WZSdPq2df9Ei9fvNm8XX\n+Hi1LCEBMDGR6zEMwzAMw3DgqAeejcmVER+vPenGwwMYOrTk5WouFVQc8+YVn67am/uLL+TyvDzx\nYBiGYRimYlKmxjgGBwdj9uzZ8Pf3x5IlSyR5SEgI1q5di/v376NDhw5YtWoVrK2tpfSCggLMmTMH\n27ZtQ1ZWFrp3744VK1bAzMxMH9V4KZ6tkarFs7WYtXi2K5KMoiZlRUeLXdrFMXWqqEMEBARop4eH\nAx9/LE7E0dzfnejVZpS/KeLj46WBxcybIz4+HvXq1dO3GW+Uf//9F9OmTUNERARSUlJQr149hIWF\nyRb3LQ2flp2djcmTJ2P//v0wMDDAgAEDEBISAkNDtVtPS0vD+PHjERkZCQsLC4wcORLzCv1zTExM\nhJ+fH6Kjo2Fra4uJEydinGrsC6PF2+DvVLDfe3spy76zzLQ4nj17FmvWrIGLi4tsWvry5csxe/Zs\nDBo0CBs2bMC1a9fg6ekp20x8+vTpWLFiBSZOnIilS5fi8OHDGDhwoD6qoVcmTdItb9MG8PPTlt+8\nqX6vWt4vNRVIS9PW/fhj8VVzrdXDhwGFAoiIEM/L6v7uw4YNK7NfwPJOvXr1MOxFFkR9y8nMzESr\nVq2QmJiIhQsX4urVq/juu+9ku06Ulk/z9vbG3r17sXjxYsyYMQMbNmyAX6Eveo8ePXDhwgX8+OOP\n8Pb2RlBQEBYvXiyl5+TkoGPHjrh79y62bdsGLy8vTJw4EZtVY1gqIETivtRnzujbkleD/d7bTZn2\nnW96j0NdPH78mJycnOjw4cPk6elJAQEBRESkVCrJwcGB5s6dK+neuXOHBEGg3bt3ExFRRkYGVa1a\nldauXSvpnD59mgRBoNjY2CKvqblXdUU8iIjat9eW3b6tPjc2Vt8vTb1Tp4ju3ycaNEg8t7Ii6tdP\nXUZEBFFCAtHVq0TNmxPduKEu59tviVaulD+LqCii4cOJnj59sc8N83ZSVvZbfR0sWrSIbGxsikwv\nLZ+WkJBABgYGdOjQIUlny5YtZGJiQvfv3ycica9dQRAoPj5e0gkKCiIrKyvKy8sjInGfXkNDQ8rJ\nyZF0xo0bJ9t/vDDl+fkREV2+LPeJKt62vaqZ8kdZ+e6ViRbHCRMmoE+fPujcubNsdfW7d+8iKSkJ\nrq6uksza2hpWVlaIiooCIK5n9PjxY5mOi4sLFAqFpMNoM2mS9j/qwjO5c3N172farp24JaOKu3fl\nuwl4eYn7mTo7i93fCxao0z77TGz9XL5cLWvfHti6Fdi3Ty1LTxdbM9esefG6MYy+2LVrFzw8PPDJ\nJ5/A0dERvr6+OHnypJReWj4tOjoaSqVSpuPq6orc3Fxp54szZ87A3NwcdevWlencu3cPiYmJkk7D\nhg2lrc9UOjExMcitoEsrvMiyaAxTEdF74Lh161bExMQg6Nkee5rd1MnJyQBEp6mJq6urlJacnAyF\nQoEmTZpI6aampqhfv76kw2jzww/ak2mysrSdZr16om5hCi/f8zyI1HtzA8Dkyer3qmtmZKhlJ0+K\neQoPtbpyBTh37sWuzTBvioSEBOzatQv5+fkICwtDrVq10KVLF5w4cQJA6fm05ORkWFtbo3r16pKO\nk5MTTE1NZTqaZaiuo2lHcnKyTlsAcWtJRpu3aYwjw7wO9Bo4/vPPP/D398emTZukteOI6Ll7Oj4v\nnXk5zMwAe3tteVFjJzWXAnoew4Y9f4cbX1/1+pGBgdrpy5YBTZoArVqpZQUFwPHjPNubKRvk5+ej\nRo0aWL9+PTw8PBAUFIQePXpg69atxeYriU97Gb/3vDyCILA/ZRjmhdBr4Hj+/Hncv38fzZs3h5GR\nEYyMjHDs2DEsW7YMxsbGqFWrFgBIG5+riImJge2z7U9sbW2hVCpxWbVwIYCsrCzcuHFD0imadADO\nRRyhxeRjikLXv/GUFGD7dt36hdezzMwUJ+DomgXu768tW71a3LVn8mSxe/uvv0R5Xp56VObly/KJ\nOyq5JkRifqb0CA0NhbOzs9YRHx+P9HJ6s+3s7NCxY0eZrGPHjjh06BAASD7pZXxafHy8TCc1NVV2\nH69fv46srCyZjmYZquto2mFjY6PTFlVaUaSnp+t8ts7OzggNZd/JMK9Cmfed+hteKU6KuXLlinRc\nvnyZWrVqRT4+PnTlyhVSKpXk6OiocyD5nj17iEgcSG5ubq5zIHlcXFyR167ok2PKwrFzJ1HDhnJZ\nejpRVpZclpAgPjNN2fffi5NqRo3SLlel6+5O9PXX4vtvv1U/excXURYdrZbNmCHKNOdTKZVEwcHi\nJB+m9CgrA7xfB6NHjyZ7e3uZbMCAATRx4kQiolLzaa8yOcba2lqaHBMeHk5GRkZak2OaN29eZB3L\n8/MjIrp4Ue5LVKhkz+YwMcwbp6x89/QaOOrCw8ODpkyZIp0vX76cKlWqRHPmzKF9+/ZRw4YNqWHD\nhqRUKiWdqVOn0jvvvEPfffcdbd26lWxtbalbt27FXocDx7J5pKURZWfLZS4uRKmpuvWLCxw1j169\niHJz5bPGNX8YqlYVz7/+Wi27cEGUac4uJyKKjxfTmJejrDi/18Hly5fJxMSE/Pz86OzZs7Ro0SKq\nXLkyRWv8SyktnzZ48GCytram9evX04oVK8jS0pLGjBkj02nZsiXVq1ePdu/eTQsXLiRTU1NavHix\nlJ6Tk0N2dnbUvHlzOnDgAPn7+5OhoSFt3ry5yDqW5+dHxIEjU3YpK9+9Mhc4ai7Ho+Lbb7+lhg0b\nUvXq1al///6UmpoqSy8oKKAZM2aQg4MDWVlZkY+PDz1+/LjY63DgWDYPMzMiS8uS61eurC0rKNAd\nOHp6astVqAJHgCgjQ5QtWqStd+SItqyggOjYMV5OqKSUFef3ujh+/Di1b9+eLC0tydvbmyIjI7V0\nSsOnZWdn05gxY8jGxobee+898vf3p/z8fJlOWloaDR06lN59912qX78+ffHFF1q2JCYmUs+ePala\ntWrUpEkTWr16dbH1K+/PjwNHpqxSVr57AhGRvrvL9UHjxo1x9SoAXNG3KcwboHFjcUZ2YYjE2eRV\nqqhlN28CDg7y8ZoFBeLyQJoy1Tdn0yZg5EjxfWoq8PAh0LAhEBMDvPMOUKcOcOQI0LGjuAe4Zt7C\n10hIAJycXr2+ZRnVThZXdD0QpsxT3p9fTAzg5ia+1/x1VH1Xd+8G+vV783YxTFn57ul9OR6GeRMU\n9T3r0UMeNALyHwsVs2dry1auBE6fBmJj1TJra6BRI3GCj5sb4OgIBAUB3boBc+ao9dq0EQPR779X\ny6ZNAxo0EINMFfn5gKenuM4lwzAMw+gbDhyZCs2BA9qy2FhxO0VNvvoKWLpULvv0U3Ex9AcPtMvQ\nXLNy7lzx9fRpce/xNm2As2dF2ZQpar0dO8TXLl3Us8Bv3AAiI4H//EetRyQuol5o8i7DMKUAr9PI\nMMVjqG8DGKasMWiQbnlAgG55eLi2zNtbW5aXBwwdWjIbYmLE3XkmTFDLiMQftSFDtNfQ/OcfsXu8\nb19g/Xp1l3hGBmBoCJiaisGogv8qMozEnTtAcjLQsqVaVjEHbzFMyeGfEYZ5Dfz2m7ZM1cpYmDFj\nxIDw//5PLVO1OEZEqGXTpomvmkFjaqq49uWmTeJYzZ9/FrvK3dzEbu533gGqVgXi4gADA2DjRnXe\nXbuAZs3ka2wePQrUqKG91eS8eeJC6wxTnqhdW76hQEngFkmmosMtjgyjZ9au1ZYdPQo823JYYtky\noEULuezZGvmyxdGfbUMM1Y6bBQVigAgAX34JPHok3w3ogw/UrSwBAUBamrjVZE6O2HJ57x6waJF4\nqPSIgPHjgUOH5EGmqlWUYd4GeF9qhnlxuMWRYcog06YBY8fKZXl5wIgRuvU1J9mo0LV9ZEaG7i0k\nicTxno8eqWXPtlfGrFlqWVKS+Dp6NLBmjTgDXTNNNfP81i11kHn6NBAdLb7XbFVlmLcR7spmKjrc\n4sgwFYiUFN1yXWMf8/KAf/8F/vc/taxbN3HCjqbs/HmgWjXgzz/VMlXQmpEhTiACxO77Pn0AS0tx\n9jnDMAzz9sGBI8MwOnn/fW1ZfDzg4SGXqSYWtG2rrf/NN+r3ffqIrxkZHDgyZRduUWSY4uGuaoZh\nXohjx3TLz5zRln3xhbaMx5UxbzM8hpep6HDgyDAMwzAMw5QIDhwZhmEYhmGYEsGBI8MwDMM8g7ui\nGaZ4OHBkGIZhGIZhSgQHjgzDMEyFRnMmNc+qZpji4cCRYRiGKffwbH6GKR04cGQYhmHKNefPA0ZG\nwLp1+raEYd5+OHBkGIZhyjV79oiv332nXzsYpjxQrgLHTZs2oVmzZqhWrRq6du2Kv//+W98mMQxT\nQQkODoZCoUBAQIBMHhISgkaNGqFGjRoYMGAAUlNTZekFBQWYOXMmHB0dYW1tDR8fHzx58kSmk52d\njTFjxsDOzg516tSBv78/8gv1xaalpWHo0KGoWbMmnJyc8IWO1dgTExPRs2dPWFpaomnTpli9enUp\n1b78wrOumYpOuQkc9+7dC19fX7Rt2xY7d+7E48eP0aFDB2RkZOjbNIZhKhhnz57FmjVr4OLiAkEj\n0li+fDlmz56NQYMGYcOGDbh27Ro8PT2hVColnenTp2PFihWYOHEili5disOHD2PgwIGy8r29vbF3\n714sXrwYM2bMwIYNG+Dn5yfT6dGjBy5cuIAff/wR3t7eCAoKwuLFi6X0nJwcdOzYEXfv3sW2bdvg\n5eWFiRMnYvPmza/prpRdXmRyDE+eYSo8VE7w8PAgb29v6bygoICqVKlC33//vU59Z2dnApxJdAN8\n8MHHmzucydnZ+U25hjfO48ePycnJiQ4fPkyenp4UEBBARERKpZIcHBxo7ty5ku6dO3dIEATavXs3\nERFlZGRQ1apVae3atZLO6dOnSRAEio2NJSKihIQEMjAwoEOHDkk6W7ZsIRMTE7p//z4REUVERJAg\nCBQfHy/pBAUFkZWVFeXl5RERUVhYGBkaGlJOTo6kM27cOHJzcyu2fs7Ob9/zmzdP/OwVNlv1mSwo\nUMvOn1fLdenu2fP67WUYXZSV7165aXGMjo6Gq6urdK5QKNC0aVOc0bWBLsMwzGtiwoQJ6NOnDzp3\n7gwikuR3795FUlKSzE9ZW1vDysoKUVFRAIArV67g8ePHMh0XFxcoFApJJzo6GkqlUqbj6uqK3Nxc\nXLx4EQBw5swZmJubo27dujKde/fuITExUdJp2LAhTExMZDoxMTHIzc0tzVtSZuBuZoZ5dcpF4JiW\nloacnBy4uLjI5K6urkhOTtaTVQzDVDS2bt2KmJgYBAUFAYCsm1rli4rzU8nJyVAoFGjSpImUbmpq\nivr168t0rK2tUb16dUnHyckJpqamMh3NMlTX0bQjOTlZpy0AkJKS8jLVLxdwcMkwxWOobwNeJ0Qk\nc9zapANwLiJtwrODYZiXI/TZUZgEpKdbvmljXjv//PMP/P39cejQIRgbGwMQfZBmq6MunpdeUp0X\nzSMIwkuVCwDp6elwdtbtOydMmIAJE8qv7+TAknndhIaGIjRU23cmJCTA0lL/vrNcBI7Vq1dHpUqV\nEBcXh27duknymJgYWVeNNpYArrx2+ximYlLUn6/GKAO+r9Q5f/487t+/j+bNm0uygoICHD9+HKGh\noUhKSgIAxMXFoX79+pJOTEwMPvnkEwCAra0tlEolLl++jBYtWgAAsrKyEB8fD1tbW0knNTUV6enp\n0o/I9evXkZWVJdNZv369zL6YmBgpDQBsbGxw4sQJnTo2NjbF1tXS0hJXrpQf3/mS8TPDvBaK+vPV\nuHFjPVijTbnoqgaANm3aSE4PEB32pUuX0LZtWz1axTBMRaFr1664fPkyYmNjERsbi5iYGLRs2RLe\n3t6IiYlBrVq14ODgIPNTqampuHfvnuSnGjduDDMzM5lOXFwclEqlpNO6dWsoFAppPCMgBnzGxsZw\nc3MDALRt2xZPnjxBQkKCTMfKygoODg4AAHd3d1y/fh1Pnz6V6bi5uUktphWR5wWRHGQyFZ1y0eII\nAFOnTsXAgQNhZmaGoUOHYvbs2TA1NYWvr6++TWMYpgJgZmam1X1ramoKS0tLSR4QEIBp06aBiNCu\nXTtMnToVDRo0QJ8+fQAA5ubmGDt2LKZOnYqMjAzY2Nhg6tSp6Nq1K5o2bQoAcHR0xIABA+Dt7Y2v\nvvoKmZmZmDt3Lnx8fFCjRg0AgKenJ1q0aIGePXsiJCQEsbGxCA4Oxpw5c2BoKLr94cOHY+7cuWjX\nrh2Cg4Oxb98+rFu3TqulkmEYRpNyEzj26dMHYWFh+Oabb7Blyxa0bNkSJ06cgLm5ub5NYximgiII\ngmyc9cSJE/H06VOsXbsWq1atQocOHbB69WqZztdffw1DQ0MsX74cWVlZ6NGjh9Z4p02bNmHy5MmY\nNWsWDAwMMHLkSISEhMh0/vzzT4wfPx6jR4+GhYUFZs2ahdmzZ0vpJiYmOH78OPz8/DBs2DDY2toi\nNDQUI0aMeE13g2GY8oBALzs6+i2ncePGuHoV4DGODPOmaQxnZ5SrMXIVCdU4q7L6/L78UuxOnjNH\nLZs3D1i0CGjSBLh0SS1Xxev5+YCBgfj+wgXg2fBSWbe0SnfvXuBZAzHDvFHKynev3LQ4MgzDMIwq\nYNQMHJ9HxWw+YZiXo9xMjmEYhmGY4uAAkWFeHQ4cGYZhmHINr73IMKUHB44MwzBMuUbV0sgBJMO8\nOhw4MgzDMAzDMCWCA0eGYRimQsNjHxmm5HDgyDAMw1QIuKuaYV4dDhwZhmGYcs2LtChy6yPDFA8H\njgzDlAhdrTV16pQ8/9dfl54tDPMylEZQyK2WTEWHA0eGYWR066YtIwK++EIu+/dfIClJLuvUCTh/\nXne5gweLr8+2U2aYN0ZpBnvcIslUdDhwZJgKyu7d2rKaNYEDB4CEBO20999Xvx87FnjnHW2dyEig\neXNxW7YWLYA7d4CUFCAtDXB0BLKyxGswjD4oKoDkYJBhSg4HjgxTxjl6FBgzRlu+fbu2zNJSdxlh\nYdqy994DEhOB339Xyzp0EF8dHdWymzfF1+bNgXHjxPd166rT09OB//0P0Nw+tU8f4Nw5wNoaqFVL\nbVflyrrtY5gX5d49IDgYePr0+bocGDJM6cGBI8PoAV0tH/XqAbGx2nIPD3nrnoeH+EM4ZIhc75NP\ngIsX1edDh4qvzs7A8OHAxx8DZ84ArVuL8vr1AXt7oHNnMbjr2RMID1fnnzRJbDV0cFDLQkKATZuA\nKVPUsmrVxLKdnUtSc4YpHUaNAmbNAlat0rclDFOx4MCRYV4zuiaQXL8uBmsKjW+goSHg4gJcvaqW\n2dqKr716qWXu7trl2doCa9cCtWsD0dFiYPfzz0BODnDpElCpktgq2KYNEBUFKJWAmZmY18RE7E7e\nvx8wN1eXuWyZ2GqoSZUqwIcfAsbGL3YPGKa0uXVLfH3woOR5SmOsI0+OYSo6HDgyTDFs2CAP2lRs\n3hRNEi0AACAASURBVKwta9pUdxkTJ2rLDAyA5GRxTKAKV1fxtVEjtUw1+cTLC+jRQ3xvZaVOf/QI\nOHkSiItTy1q1ApYsEX/gTEzkwakK/vFj3na4+5lh9AMHjgwDoGVL+Rg9FSNHiuP0VMycKY6pGjFC\nW3fuXPX7zz9Xvx87Vuw23rhRLatWTQze7OzUstWr1e8rVRJfDQ3Vss2bge++A/z81LKqVYF27Yoe\n28gw5ZWX2X+6qGCTg1CGKTllInB8+vQpXF1doVAoEKfZdAIgLS0NQ4cORc2aNeHk5IQvCq8JAiAx\nMRE9e/aEpaUlmjZtitWav8AMUwjNcYAqDA3FMXpdu2qnaU7osLTU3U2bnQ188AEwb554PnMmsG+f\n2E1ctSqwbRvg7S3q3bwJWFiIevb24rjGzExRT8WDB+JMZE2qVwcCAsRWRKZsEhQUhFatWuGdd96B\nm5sbAgMDcUvVp6pBSEgIGjVqhBo1amDAgAFITU2VpRcUFGDmzJlwdHSEtbU1fHx88OTJE5lOdnY2\nxowZAzs7O9SpUwf+/v7Iz8+X6bD/LH04yGQqOmUicJw+fTpsVYO5CtGjRw9cuHABP/74I7y9vREU\nFITFixdL6Tk5OejYsSPu3r2Lbdu2wcvLCxMnTsRmXX2JTIXjs8+0ZQ4OwJMnwI4d2mkHDqjf/9//\nia/z5+su+7vvxNa+8+fVLYQLF4rjBytXFru4mzSR56lUST7ZBBDHNZqaymVVqnAr4tvIsWPHMGnS\nJJw5cwbBwcE4evQoxo8fL9NZvnw5Zs+ejUGDBmHDhg24du0aPD09oVQqJZ3p06djxYoVmDhxIpYu\nXYrDhw9j4MCBsnK8vb2xd+9eLF68GDNmzMCGDRvgp9kcDfafheEhGgxTCpCe+f3338nZ2ZmuXr1K\ngiBQbGyslBYREUGCIFB8fLwkCwoKIisrK8rLyyMiorCwMDI0NKScnBxJZ9y4ceTm5lbsdZ2dnQlw\nJvH/Ix/6PN57j8jbW1v+8CFR//665YVluvIDRFu2aMv+/Vf8DOzZo5bt3q3+bKhkmgQFibKoqJf8\noDMSzs7O5OzsrG8z3ghXrlwhQRDo2rVrRESkVCrJwcGB5s6dK+ncuXOHBEGg3c8+hBkZGVS1alVa\nu3atpHP69GmZf0xISCADAwM6dOiQpLNlyxYyMTGh+/fvE9Hr859l5fk5O4vfyc8/l8t1fX9nzxZl\nLi66dTWqT2fP6i5DJfvtt9KrA8O8CGXlu6fXFse7d+9i7Nix2LhxIyrrWODtzJkzMDc3R12NReNc\nXV1x7949JCYmSjoNGzaEiUb/naurK2JiYpCbm/v6K8G8ELrW8WvSRD7+T4WFhbyFYPVqID9f3c2r\niWpXEkBc303FsGHiLOOTJ9WyKlXE13r1xNeBA4F+/dTpzZuLM541mTlT3ClFtZQNw5QEVSui6vXu\n3btISkqCq2omFABra2tYWVkhKioKAHDlyhU8fvxYpuPi4gKFQiHpREdHQ6lUynRcXV2Rm5uLi8/G\nYpR3/0lUNstimPKO3gJHIoKvry/8/PzQvHlznTrJycloUqivT+Uok5OTpVcXFxedOikpKaVtNvOK\n/PuvuFRMly5qma7uI11LzgiCOBtZk9q1xW7nAQPE5Wg8PMSxgH/8Ady4IeZp1UrsUiYC8vLUE04a\nNQKuXQO2bpWXee4ccPu29vV17ZTCMEWhVCrh7++PHj16oNGzqfIqv6XLZ2n6NIVCIfN9pqamqF+/\nvkzH2toa1atXl3ScnJxgamoq06kI/vNFup+5q5phXh3D56u8GIGBgVi4cGGxOhcvXkRkZCSePHmC\nmTNnytKo0F+/wueFEQThuTpFkw6gqFWLJzw7mJdl9GgxmNPE2FhcKmb9euDwYXna7dvqWcaqFsLp\n04Fdu7TLnjxZXHvw++/VLYiffCIegHrpmsIYFvrEN2igrSMI/ANTGoSGhiI0NFRLnpCQAMtyPoCT\niODn54ebN2/ixIkTJdIvDZ0XzfOy/jM9PR3ORaz4PmHCBEyY8Pb6Tv7uM/qmrPvOUg8c/f394ePj\nU6zOe++9h8DAQJw+fVrWRQIALVu2hLe3N8LCwmBra4v169fL0mNiYgBAmkxjY2Oj5ZhVOjY2Ns+x\n1hKAjjVYKhB164qTM379VS7/8UdxAehLl+TyU6fE1jtNJk8WdQvTsGHJbFB1M2vOj1I5b3d3YNAg\nYOdO+TZ4339fsrIZ/VFUANG4cWM9WPNmmTRpEvbv34/IyEjZxD/V+7i4ONSvX1+Sx8TE4JNn/3ps\nbW2hVCpx+fJltGjRAgCQlZWF+Ph4Kb+trS1SU1ORnp4u/ZBcv34dWVlZMp3X5T8tLS1xRdf6VW+Q\nl2kvKEkeXeueasKBJfO6Keu+s9S7qqtVqwZHR8diDyMjIyxbtgxxcXGIjY1FbGwsfn+2Ye62bduk\nWX9t27bFkydPkJCQIJUfExMDKysrODybmuru7o7r16//P3tnHhdV+f3xz4yIiCIKKAjuCiICguKC\nS2ouoGnuaYnot9QyUb6KuWcuGZp7ht9MU3EJ82v9REXNXEtzyWUwtxAULRQ10ER2mPP7Y75zncss\nDDAww8x5v173xdznOc9zz3Mv98yZZzvIVQlYKpPJ4O/vD2sOb1EsnTopnLKijB+vGPJVMnCgYp9C\nlSlVGlGuRAYUDuV//wvUq6e7zLvv6s7fvh04cUIRGo9hTJ2wsDDExsbi5MmTgp1SorRdSucMAFJT\nU/HkyRN06tQJgOLLoWbNmiKZa9euQS6XCzIdOnSAVCoV5jMCCrtnbW0Nf39/AOZlP+PjxXOXVTG0\nI1dcfTwfkrF4jLYspwj37t1TW1VNRBQQEEAtWrSg2NhYWrx4Mdna2tLSpUuF/JycHGrQoAG1bduW\njh49SuHh4WRlZUW7du3SeT1LXFV98KB62ujRivtRNJ2IqEePV+d79yrSsrLEci1aECUliVcnAkR9\n+ry613/+STR9OtHOna/SHj8msrMj+u478XM5epToyJES/eswlQxTWRlYHkyaNIlq165Np0+fpkeP\nHglHdna2ILN+/XqysbGhefPmUVxcHHl6epKnpyfJ5XJBJiIiguzt7Wn16tW0e/ducnNzoz6qLxUR\nDRs2jFxcXCg6Opo2bNhADg4ONGHCBJFMedhPYzw/gMjaWpzm6alIX7hQXVbbquo2bTTLZmW9SpPJ\neFU1Y5qYiu00KcdRKpWqOY5paWk0YsQIqlu3Lrm7u9OSJUs0lg0ODqY6deqQt7c3bdy4sdjrWaLj\nqGTNmldpISGKNFW5O3cUaZocR6VjCIidvj//JPr5Z8XnjAyiwkK9Hz1jYZiK8SsPJBIJSaVSkkgk\noiM6Olokt3LlSvL09CRHR0caNGgQpaamivILCwtp1qxZ1LRpU3J2dqbQ0FDKyMgQyWRnZ9OECRPI\n1dWVGjZsSOHh4VRQUCCSKQ/7aSzHsagjx44jY2mYiu00+BzH0tKkSRMUFhaqpTs4OGDPnj3Flj18\n+HB5qWbSvPGGIkJJUZTzAjWhaSjmzh1AOeVKuU3NJ58Ap06J5apVA9avV2xLo7o1TYMGrxa21KxZ\noiYwjNmguom3LiIiIhAREaE1XyqVYtmyZVi2bJlWGRsbG3z99dc6r2PO9pOofGR5DiPD6MYkIsdY\nKoMGAVu2qKfPmQM4OamnF12FDCi2mtFE//766TB+vOKv0llUpUePVwtXVPPDwng/Q4ZhjIvSGazo\nOY7sWDKWDjuORqRBA+Bf/1JP/+wzQNOCRk1bx6gyZcqrz+++K16ooglnZ8W+h7rYtQu4dg1o00a3\nHMMwTHlQkt7C4tDH6WPHkGF0w45jBbFihXqavgZq82b1bXGUuLi8+jxrlrjuhg0BZZjcceNe5SmH\nlIvuuz53LqASxhaAYmjax0c/PRmGYUwRpa3VNpOgvIa9GcYcMZk5jubOjBlAeLhiA2xdJCSopzVp\nogjL979gDwAUIfDc3BQ9i40aATKZ4nzJEqBv31dy//mPYs9D1esOGaLoSezXT3ydok4jwzCMsSnO\nUdPnB7hyb0Z9pqAWV5+e01gZxmxhx7Ec6NYN+OUX9fSqVYEFCwBdgXVU9gRWo1YtxV9PTyAy8lV6\nv36vnMD589XLFXVWpVLgnXe0X4dhGMZU0OY4lmbBiyF6C9lxZCwdHqouA2vXak5XhsArDqXcnTvq\neZoWzdjZKWQvXdKvfoZhmMqOIZy9kjiOxcnwUDVj6Vi046gp1OqAAerxjAFFqD192bDh1WpkXSjD\ndGta0dyu3auhY9VoLS1a6O+YMgzDMIZ1HLnHkbF0LNpx1MSBA5pXNCuHifWhaVNg717dMl5eQO3a\numXmzlUYKdXQfwzDMJZEcUPVJVkprc+wN/c4Moxu2HFUoXlz9TQ7O8DXt/iysbHa8xo2LL68qyvw\n2mvq6bw1BMMwlgIR8PKlepouDOE4qvYisuPIMLphx1GFy5fV006fVqxYVqVuXcXfwEBg5UogJATo\n2lWRFhLySu7UKWD6dOD+/VdpoaGKxSqrVonr/Osv9SgtDMMwlsTYsYof6+npxcsaMhpMQUHp6mUY\nS4RXVatgb685vajRefwYSEtTRHdRjaCSkSGef9i9u/oG282bA7m5xV+DYRjG0tixQ/H3wQPAwUHx\nWZsjV5otdrTVVRLHkR1LxtLhHkcNVKminuburojc8vXXCiOkKSRgzZrsADIMw5QVVTuqzVFT2unC\nQv3rM4TjyItjGEvH4nscL19WrGBW5YcfAH9/xWflr1pra+D27YrVjWEYxhLRx3FU7n5R0Y4j9zgy\nlo7FO45Fw+4Biu1vzpwBvv1Wv4UxDMMwTMWi7HFUdfq0URLHUZsjKpEoyrPjyFg6Fu84aqNLF8XB\nMAzDVCxSlUlUFT1UnZenWaYk2/8wjDlj0XMc0/VZuleJiYqKMrYK5Qq3r/Ji7u+euVPez0/VOdPV\nAwiUrAdQm6zqNfLzAUD7u2cOPY7mbFvMuW2AadhOozqO9+7dw/Tp0+Ht7Y3GjRtj4sSJ+O2330Qy\naWlpGDFiBOrVqwcPDw8sWbJEYz3BwcFwcHCAj48PNm7cqNf1lQ/g3j3g77/L3h5Tw9xfIG5f5cUU\njB/zip07d6JNmzaoU6cOevfujT/++EOnvCk4jppktaFwBhVz1TWh3uOo/d1T1lWZMWfbYs5tA0zD\ndhrVcZwxYwYuX76ML7/8Env37sXLly8xZswYkMpPuqCgIFy5cgWbNm1CSEgIIiMjsVQZiw9ATk4O\nunXrhsePH2PPnj3o2bMnwsLCsGvXLr31aNKEo7MwDGOZHDhwAOPGjUOnTp3www8/ICMjA127dsWL\nFy+MrRoA/Yaii6MkjmNmpmYZ5fB5WlrZ9WGYyozR5jhmZ2dj//792LdvH3r06AEAiIyMRNOmTXHl\nyhW0a9cOp06dwpUrV3Dnzh00b94cgwYNgrW1NdauXYtZs2bBysoKu3fvxuPHj5GUlIRq1aqhd+/e\nyMvLw6pVqzB69GhjNY9hGKZSsGrVKrz99tvCSM25c+dQq1YtbNu2DVOnTjWKTqqOnLYePqVDqTof\nUlVWLn+Vl5Oj+KtpqzUA+OefV5+1OYZVqijqfPxYu94MYwkYrcexevXq6NOnD7Zs2YK//voLaWlp\nWL9+PRo1agT//+2Fc/78edjZ2aG5SixAPz8/PHnyBPfu3RNkPD09Ua1aNZGMTCZDnrZZzgzDMAwA\n4OLFi/Dz8xPOpVIpfHx8cP78eaPppHT0AEVgBU08f674W6vWq7TUVPV8AFB2nqr2Xj579urzgwev\nPqtG+lKGP1Tdu/Hnn3kvR8ayMeqq6v3792PgwIFo1KgRJBIJ3N3dcfnyZUj/9zMxJSUF3t7eojJK\nA5eSkgJ3d3ekpKTAt8ieOUqZhw8fokmTJuXfEIZhmEpIWloacnJyNNrQmzdvai1HBPz2m8KBUj2I\n1NP0Tc/OflX/6dMKJ/DhQ8XWaEp+/lnh2N29CyQnK9Li44GTJ4Fbt4C4uFeyMTGApydw7hywe7ci\n7f594NgxRfSuLVteya5fD7i6Knobv/nmVfrbbwMTJyr28FX2Zp47B3h4KLZyc3NTOK41agC2tkD1\n6or9JatUURzaPit7QiUS8VE0rTQyusooyc0Ffv9d6+M1SfRdzZ6bC1y/Xr66lAXVxVUl/az6g8qY\nGNxxXLhwIRYvXqxTRiaTwdfXFwMHDkR2djb27t0Le3t7bNq0Cd26dcO5c+dg/7/4f1TMEjaJRFKs\njCYePHiA/Px8tG7dusRlKwtJSUncvkqMubYvKSkJ+eawwsCMISJItHxTK21nhw7l9785c6bmdNUQ\nrsp9FffsURxKrK0VC1zCwl6lSaVA7dqKXsg+fV6l16wJVK2qcIJ7936VbmWVhOrVW+PgQeDgQWWa\nYj78s2eKHsqkpDI304gkwdfX/GyLgiT4+Jhv2yQS49tOgzuO4eHhCA0N1SnTsGFDXLlyBT/++CNu\n374NDw8PAECXLl3g5uaGffv2YezYsXBzc0N0dLSorEwmAwC4ubkBAFxdXXFG9Sepioyrq6tWHWrU\nqIGcnBwkJiZqzHdwcICDMlhqJaWy618c3D7TJj09XeMKwIKCAlhrW6XAVCiOjo6wsbHBtWvX0EfF\no5LJZKIpQqoobadUWvlsp7avhPr1xefp6Q7Q1gRnZ8VRmdHVvsqOObRNl+2sWtX4ttPgjmOdOnVQ\np06d4i9sZQWJRAIrq1cqSCQSVKlSRUjr1KkTXr58iaSkJMGIyWQyODs7o2nTpgCAwMBAbNmyBbm5\nucI8R5lMBn9/f51fTqmqk2EYhmEslI4dOwo/tgGgsLAQv//+u9bFhWw7GcaykVBpxnkNRGBgIOzs\n7DBjxgzY2dlh06ZNOHjwIP766y/B6Wvfvj2eP3+OVatWIT4+HsuWLcO8efMwd+5cAEBubi5atGiB\nevXqYdmyZYiLi0NUVBSio6PxzjvvGKtpDMMwlYKDBw9iyJAhGD9+PEaMGIG5c+ciKSkJd+/ehZ2d\nnbHVYxjGxDCq4/jHH38gOjoaBw8eREZGBgYMGIDRo0ejU6dOgkx6ejo++OADnDp1CrVr10ZoaCjm\nz58vqic5ORmTJk3ChQsX4ObmhilTpmDixIkV3RyGYZhKyc6dO7FixQrcv38fAQEBiIqKQsuWLY2t\nFsMwJohRHUeGYRiGYRim8mDRsaoZhmEYhmEY/bFIx7GkcVmNQWRkJNq3bw97e3v4+/tj4cKFuK+6\nMy2AcePGQSqVio7+/fuLZAoLCzF79mw0a9YMLi4uCA0NxUvlrrb/Izs7GxMmTECDBg3QuHFjhIeH\no0A1dEM5sHDhQjXdvby8RDKrVq1Cq1at4OTkhMGDB6tNyjfVtjVp0kStbVKpFFOmTAFQ+Z7bzz//\njIEDB8LNzQ1SqRSxsbFqMhX1rPSJXc+UH2w7jWtfzNluAmw7K43tJAtj//79VKVKFZo4cSKdOHGC\nOnToQE5OTvTPP/8YWzURwcHBFB0dTTdv3qQjR45Q9+7dKTg4WCQzbtw46t+/Pz1+/Fg4nj9/LpKZ\nPn062dnZ0apVqygmJoZcXV2pd+/eIpmhQ4eSs7Mzbdu2jaKioqh27do0fvz4cm3fJ598Qj4+PiLd\n09LShPwvvviCrK2tae7cuRQXF0ctW7akli1bUmFhocm37e+//xa169ixYySRSOj06dNEVPme2+HD\nh+njjz+m//u//yOJREKxsbGi/Ip8Vu3ataNmzZrRvn37aNGiRVS9enX69NNPDd5mRh22nca3L+Zs\nN4nYdlYW22lxjmP37t0pJCREOC8sLKQaNWrQunXrjKhV8dy4cYMkEgndvn1bSBs7diwNHjxYa5kX\nL15QrVq1aPPmzULauXPnSCKRUHx8PBERJSUlUZUqVejYsWOCTExMDFWrVo2ePn1aDi1R8Mknn5Cf\nn5/GPLlcTk2bNqX58+cLaY8ePRK9eKbctqKEh4eTu7u7cF6Zn1tR41eRz+rkyZMkkUgoMTFRkImM\njCRnZ2fKz88vnwYzAmw7jf8OWpLdJGLbaaq20+KGqk0xLqs+yP8XHFWuEiRVIpHg1KlTcHZ2Rv/+\n/RETE4NslbhdN27cQEZGhqi9vr6+kEqluHDhAgDF/ZDL5SIZPz8/5OXl4erVq+Xapjt37sDNzQ2v\nvfYaNm3ahH/++QcA8PjxYyQnJ4t0cnFxgbOzs6C3qbdNSV5eHnbu3Il3331XSKvsz02VinxW+sSu\nZ8oPtp2m8Q5agt0E2HYCpms7Lcpx1BWXNSUlxUhaFY9cLkd4eDiCgoLQqlUrIb1fv36IiYnBTz/9\nhJ49e2LBggWilywlJQVSqVQU79vW1laI8a2UcXFxgaOjoyDj4eEBW1vbcr0ngYGB2LlzJ44cOYJR\no0Zhw4YNCA4OFnQCoPM5mXLbVNm3bx/++ecfjBs3TkirzM+tKBX5rIqLXc+UH2w7TeMdtBS7CbDt\nVMqYou00eOSYygjpiMtqbIgIkyZNwt27d9VCK7711lvCZ19fX7Rp0waDBg3C8+fPUbt2bZ11Gpug\noCDhs4+PD3r16oVWrVrh1q1bWsvoo7cptE2Vb775Bv3794eLi4uQVpmfm76U17OqTPfAEmDbWbFY\nit0E2HaWVcYQZbRhUT2OqnFZVZHJZELsa1NjypQpOHz4ME6cOFGsjr169YJUKkVcXBwARTxvuVyO\n69evCzJZWVlITEwU6nJzc0NqaqooLmZCQgKysrIq9J60bNkSHh4e+OGHH9CgQQMA0PmcKkPb7t+/\nj+PHj2P8+PE65Srzc1NeqyKelZubm6gO5XVU9WDKB7adpvkOmqPdBNh2mrrttCjHEdAel1U1Wo2p\nEBYWhtjYWJw8eVKIza2LU6dOITs7G/Xr1wcAtG7dGjVr1hS199q1a5DL5UJ7O3ToAKlUKprbIZPJ\nYG1tDX9/fwO3SDuJiYm4c+cO6tevL8QiV9U7NTUVT548EfSuDG3bunUrnJ2d8cYbb+iUq8zPrSKf\nlWrselUZ1dj1TPnBttP03kFztJsA206Tt50lXk5TyTlw4ABZWVnRBx98QMePH6eOHTuSk5MTvXjx\nwtiqiZg0aRLVrl2bTp8+TY8ePRKO7OxsIiJ6+fIlzZgxg86fP0937tyhDRs2kJeXF7Vt25YKCgqE\neiIiIsje3p5Wr15Nu3fvJjc3N+rTp4/oWsOGDSMXFxeKjo6mDRs2kIODA02YMKFc2xcREUGnT5+m\npKQkio6Opo4dO1KjRo2ErT3Wr19PNjY2NG/ePIqLiyNPT0/y9PQkuVxu8m0jUqw4bdSoEc2ZM0eU\nXhmf28uXL+nq1at09epVkkgktGbNGrp69So9ePCAiCr2WQUEBFCLFi0oNjaWFi9eTLa2trR06VKD\nt5lRh22n8e2LudtNIradlcF2WpzjSES0Y8cO8vX1JXt7e+rVq5domwZTQSKRkFQqJYlEIjqio6OJ\niCg7O5uCgoKoXr16VKNGDRowYABt2bKFnj17JqqnsLCQZs2aRU2bNiVnZ2cKDQ2ljIwMkUx2djZN\nmDCBXF1dqWHDhhQeHi56EcuDUaNGkaurK1WvXp1ef/11Wr9+PT169Egks3LlSvL09CRHR0caNGgQ\npaamVoq2ERH9+OOPJJVK6c6dO2r6VLbnptzKoej/5L/+9S9BpqKeVVpaGo0YMYLq1q1L7u7utGTJ\nEoO3l9EO207j2hdzt5tEbDsrg+0sV8fx9OnTNGDAAHJ1dSWJREL79u0T8vLz82nmzJnk4+NDNWvW\npM6dO9Py5cvV9lEqKCgQ3bQxY8ao3bSsrCwaP348ubm5UaNGjWjq1Km8rxvDMEZhzZo11KdPH3J0\ndKT+/fvTV199pSZT9Mui6Je/oeze33//TcOHDxe+LBYvXqymy927dykoKIjq1KlD3t7eGvVlGIZR\nUq6Oo65d058/f059+vSh//73v5SQkEA//PAD+fr60gcffCCqw5R2gWcYhtHF/v37qXr16rRjxw66\ndesWbdy4kapUqUJnzpwRZEwpWkR2dja5ubmRn58f/fTTTzRlyhSysrKinTt3ltMdYhimslNhQ9Wa\nwu0UJS4ujmxtbYWuZ1PeBZ5hGKYob7/9Ng0bNkyU1rNnT5o8eTIRmV60iK1bt5KVlRXl5OQIMu+/\n/z75+/sb5H4wDGN+mNSqarlcjtzcXFStWhVA5doFnmEYZtCgQThx4gTOnz+P3NxcnDhxAhcuXMCb\nb74JwPSiRZw/fx6enp6oVq2aSEYmkyEvL8/Qt4dhGDPAZDYAz8rKwqxZszB+/HjUqFEDQOXaBZ5h\nGGbkyJHIzc1F586dIZUqfpf/8MMP6Nu3LwDTihahrE+TLgDw8OFDNGnSpPQ3g2EYs8QkHMe8vDyM\nHDkSNjY2WLFiRbHyZIAd0F1cXJCZmYlGjRqVuS6GYfTnwYMHqFGjBlJTU42tisHZvn07Zs+ejVWr\nVqFLly44efIkJkyYALlcjsGDB2stp49NK43dK66MRCIpcb1sOxnGOJiK7TS645ifn4+33noLDx48\nwMmTJ2FnZyfkqe6a3q5dOwC6d013cHAAoN8u8JmZmUJdmnBwcBDqq6yo3hNzhNtn2qSnp4uiGSjJ\nz89HTk6OETQqf1auXIlx48Zh2rRpABSb8yYnJ2Pt2rUYPHiwKFqEu7u7UE4mk+G9994DYDi75+bm\nhujoaJF+RaNFuLq6qoXjU8q4urpqbCPbzsqPObfPHNpm6rbTqI6j0mlMSkrCyZMn1R626q7pSgOq\na9f0Xr16AdBvF/hGjRohMTERubm55dQ64+Pl5YUbN24YW41yg9tXOWndurVWp6OyU7VqVWGOthIr\nKyshTTVaxLBhwwDojhZRFrunGi1COc+xaLSIwMBAbNmyBbm5ucI8R5lMBn9/f1hbW2tsI9vOyo85\nt8+c22YqtrNcHcfMzEzcuXNHOL979y5kMhkcHR3h6uqK4cOH4+rVqzh48CAKCgqE7ldHR0dUEZ9a\ncAAAIABJREFUrVoVdnZ2mDhxIiIiIvDixQu4uroiIiICvXv3ho+PDwCgWbNmGDx4MEJCQrB8+XJk\nZmZi/vz5CA0NhZOTU3k2j2EYRsTEiRPx8ccfo0GDBggMDMTp06exfft2bN26FYBiaHjatGn46KOP\nQETo3LkzIiIi0LJlSwwYMAAADGb3evTogXbt2iE4OBirVq1CfHw8li1bhnnz5sHKSmH6R40ahfnz\n56Nz585YtmwZ4uLi8M0336j1VDIMwwiU55JtXbumJycna9zhXyqV0unTp4U6ymsXeC8vL7K2ti6X\ndpsKrVq1MrYK5Qq3r3Jizu9ednY2RUVFUb9+/cjR0ZEGDx5MmzdvVrNHphQt4t69exQcHCxsAL5x\n40adbTTn56fEXN89JebcPnNum6m8exIiA6w0qYQou3zNfbjl5s2bxlaj3ChJ+xYvXozvvvuunDUy\nLImJiWjRooWx1SgzI0eOxIIFC4RzS3j3zBlLeH7mYDt12TxzsS2aMKe2martNKl9HBmmvPjuu+9M\nYm5ISTAH45eYmFjpHHaGMQd02TxzsC3aMJe2mbLtNPqqasY8ycrKwtSpUzFjxgx4enoaWx0ACoNi\nrpOmTZXWrVsbWwWGsVjY5lVeTNl2WnSPY2Vfsl8ckydPNtq1t23bhm+++Ubn3nVlxZjtY8qGub97\n5o65Pz+2LYypYgrvHjuOZowxjZ9yDkZGRka5XcPcjfsnn3yC48ePG7zey5cvIzw83OD1Lly4EKtW\nrdJL1tzfPXPH3J+fudsWU6a87J6hOH36NM6dO2e065vCu8dD1QaGiHD9+nV4eXmhSpUqavn379+H\ni4uLKDYsw2hi0aJF5VJvu3bthP0BDYlEIjF4nQzDWBblZfcMhTJQSWBgoFpeYWGhxu99c8Oiexz1\noaCgANnZ2XrLx8TEwNfXF5999plaXnp6Opo0aYLevXsbUkWmEpCcnAwvLy9MnjwZXl5e+OCDD5Cf\nnw8AuHPnDt599134+fnhk08+EXppx40bh++//x4AsGbNGrRv3x5t2rTBzJkz8fLlSzRr1gwFBQUA\ngBcvXqBZs2YoLCwUXfenn37Ca6+9hjZt2qBHjx4AgFOnTmHgwIEAgGfPnmH69Onw9PTE1KlT0aRJ\nE6Snp+vUd9OmTejQoQPatWuHmTNnIi8vr9zvH8MwlQ9Tsnvbtm3DW2+9hddffx1+fn7YtWuXIH/s\n2DGMGDECgYGBou/uCxcuYPTo0WjTpg369OmD+/fvY+PGjVizZg3atm2LM2fOYNy4cZg+fTo6duyI\nWbNmYdGiRaKRF29vbzx48EC4FxMnToS7uzumTJmCX3/9FV26dEGXLl1w/fp1wz+AcoIdx2Jo0qQJ\nbG1t9ZZXdmEfPXpULe/p06cAoBbiy5To3bs35s6da2w1zJLbt29j6NChuH79OpKTk4X/lVmzZiEo\nKAiXLl3C06dPsXPnTgCKHjyJRIKsrCxs3LgRv/32G+Lj4zF//nzUrFkTPXr0QFxcHABg9+7dGDZs\nmNqv3aVLl2Lbtm2Ij4/H/v371XTavHkzpFIpbt26BX9/fzx48KBYfYcNG4aLFy/i0qVLyMrKwsmT\nJ8vlfjEMU/kxJbt37NgxfPPNNzhy5AgWLlyItLQ0ZGVlYfny5dixYwfOnj2L33//HRcuXAAAjB07\nFtOnT0d8fDz++9//onHjxvjggw8wffp0XLlyBV27dgUAXLlyBceOHcPKlSvV2q86EnP79m2MHj0a\nN27cwNGjR7F27VqcPHkSEydOxMaNGw1418sXHqouhpSUFGOrUO7k5OTAxsYGAHD8+HEcP35cY4+p\nufLmm28iKSmpVGWbN2+u0SHThJubmxAernv37jh37hwCAwPx22+/4fvvv4dEIsG//vUvLFiwAJMm\nTRLK2drawtnZGWPGjMHo0aMRHBwMABg/fjw+//xzDBo0CNu2bcPmzZvVrtm1a1e89957GDt2LN5+\n+221/KNHj+Lzzz+HRCLB22+/jQ8//FCnvq+99hru3r2LqVOn4urVq8jOzoa1tTWCgoL0v2kMwxiV\nirJ5gGnZvW7dugnhNoOCgnDkyBHY2Njg5s2bwtBzTk4OTp48CalUisaNGwvTemrXri3Uo7r9tUQi\nwfDhw2FnZ6fXvejevTsAICAgAL169YK1tTUCAwOxfv16/W6oCWDRPY75+fmQyWQVdj1TnAMWHh6O\n6tWrC+EemfJD1fBYW1uLNnFVGqKi+/Erz0+fPo2QkBBs27YNI0eOBAB07twZycnJOHXqFAoLC+Hl\n5aV2zU8//RTr1q3DzZs34e3tLQwTlUXfGTNmYOzYsbhx4wbCw8Px7NkzvetkmMpKXl4ebt++bWw1\nKh2mZPc0xTuRy+Xo27cvrl69iqtXr+LWrVuYPXt2idpYv3594bONjY2ojar2sei9sLe3Fz4be1Pv\nkmDRPY537tyBv7+/8M/0559/omvXrti+fbvwq8Dc+eKLLwAAt27dgouLi5G1MQ4l+fVsSIgIVatW\nRYcOHfD9999jyJAhiI6OxqBBg0RymZmZyMzMRFBQEHx8fNCzZ08hLzQ0FKNHjxZFF1AlKSkJvr6+\nWL58OQ4dOoTHjx+L8oOCgvDtt9+iTZs2+O6773QaL+V78vDhQ7i7u+PZs2eIiYkRDLeFBqFiLITR\no0dj7969uH79uknvsacPxrJ5gHHt3pkzZ5CcnIzq1avj6NGjWLRoEWxtbTFnzhzcunULrVq1Qnp6\nOl6+fIn27dsjOTkZly5dQkBAANLT0+Hg4IDGjRvr/AERGBiIZcuWgYhw5MgRPHz40AB3zbSw6B7H\nomzZsgUPHjwQDdfp4siRI5gxY0Y5a8WYC0V7nJXny5Ytw+HDhxEQEAAnJyeEhISIZDIyMjBw4ED4\n+fnhnXfeEU28fuedd/Ds2TONw9AAMHPmTPj6+iIwMBAhISFo0KCBMIcIAN577z3k5+fDy8sLFy9e\nRLNmzVCnTh2d+i5ZsgQDBgxAUFCQyJir1ssw5sbevXsBoNJFoDI2pmT3+vTpg3fffRdBQUH45JNP\n4OjoiOrVq2PTpk34+OOP4evri759+wojcDt27MCKFSvg6+srXKtv3764dOmSsDimaBsDAwPRsGFD\ntG7dGvv37xf1iGq7F5ryTJoKj45tInh5eREAAkD//ve/iYho4cKFBIC8vLwEOaWMKpcvX6aQkBAh\n78WLF0JeWFgYAaAuXbqoXTMhIUFjfUXJz8+n48ePU15eXlmaqBdKfU6cOCE6LyurV68mAOTq6lrm\nugyBl5eX6LmaC7t27aLx48eXunxubi4VFBQQEdHevXtp1KhRhlKNiDTfd3N9FpaCpT4/pW3ct2+f\nsVXRC3N+TqWxe1u3bqWwsLBy0sjwmLLttOihaiVr167FmjVripW7ffs2XF1d0aNHD60bW+v61aDv\nL4ovvvgCERER+PTTTzFv3jy9yjCWx5QpU3D27FkcPHiw1HU8ePAAb731FnJzcxEQEKB16IdhGMYU\nKK3d4xERw8GOowZIw1ytrKwstGrVCs2bN0dmZmaxZcvyD3r58mUAwKVLl0TpjRs3xvDhw/WOzlEW\nbt68qXHSMWM6GGIVXosWLXDlyhUDaMMwDFP+lNbujR07FmPHjjWwNpYJz3HUE6WzWNotDAzBgwcP\nsHr1arX05ORkwdksLUUd3co++ZthGIZhGMPDPY56IpWW3cfWtxdSU4+nLpT7UhVX7syZM7Czs0Ob\nNm3KfM3iULb14cOHyM7ORvXq1Q1S7x9//IGcnByNbWAYhmEYpnwxiR7H58+fY8KECWjRogVsbW3h\n6+ur1oO2atUqtGrVCk5OThg8eLDavoOFhYWYPXs2mjVrBhcXF4SGhuLly5el0kfTULSq01fUyZJI\nJCgoKEDjxo3x5ZdfaqwzIyMDaWlpJdKjOEezqB7KMExZWVka98fq1q0b/Pz8SqRDaVG9bmRkpFr+\nnj17MHLkSL0dViLC8+fP4enpWaI2PH/+HB07dkRWVpbeZRimLFSUPcvOzsaECRPQoEEDNG7cGOHh\n4YINUJKWloYRI0agXr168PDwwJIlS9T0vXfvHoKDg+Hg4AAfH59KFcHCGPA8OcbSMXqPY2ZmJtq3\nb4/GjRtj8eLF6Ny5MxITE4UtQQDFnIa5c+dixowZ6NKlC6ZPn44ePXrg5s2bQk/gzJkzsWnTJixc\nuBCurq6IiIjAkCFD8NNPP5VYpwcPHuDo0aPo27evkFacsXj69KkoXFtR7O3tDdqrd+jQIbzxxhtY\nsWKFkObq6oq//voLNWrUQL9+/fD555/Dx8cHO3bsEG11oC9RUVEIDQ3Va0d8Xdy7d08tTbmZa1RU\nFJycnIqtY+LEiRojBBRHTEwMLl68CECxySoPwVcsiYmJaNGihbHVqDAq0p6FhITg7NmzWL58OTIz\nMzFv3jxkZWVh06ZNgkxQUBCePXuGTZs2IT4+HpGRkZBKpcKiu5ycHHTr1g1169bFnj17sH//foSF\nhaFmzZoYPXp0Bd01prxITExkm1dJMWXbaXTHce3atcjKysKxY8eEtCZNmgifiQhr1qzBzJkzhV/L\nbdu2haurKw4ePIg333wTGRkZ2Lx5M9asWYP33ntPqKNz5864du0afH19S6zXgQMHRI6j6lC1RCIp\n1glU5ickJOD+/ft6OY39+/dHr1699JJVOowfffSRkPb06VOht/Tw4cNCCKUlS5aIHMcxY8Zgx44d\nxV4jLCwMN2/eRFRUVLGyutDldGtrKxFh69atCAoKgpubW6mcxqLk5eXhyZMnqFevnt5lMjIy8Oef\nfwKA1sVC9+/fR2ZmJmrVqgUnJychfKMqcrkcGRkZsLGxQWZmploPk7u7O6pWrapWLjs7G3///bew\nD5kqaWlpog29nZ2d4ejoKJK5d+8esrOz4ejoCGdnZzx8+BDPnz9HjRo10LhxY5Hs8+fPhc1qHR0d\nhR5yT0/PUk/VaNGihfAjwRKoKHt29+5dxMbG4scffxTCuTk4OGDcuHGIjIyEk5MTTp06hStXruDO\nnTto3rw5Bg0aBGtra6xduxazZs2ClZUVdu/ejcePHyMpKQnVqlVD7969kZeXh1WrVlm04/j777+j\nadOmqFmzprFVKTUjR47Ed999Z2w1mFJi0razQjf/0UBAQAC9/fbb9O6771LTpk1p7NixdObMGSH/\n0aNHJJFIaO/evaJyLi4uNHfuXCIiOnfuHEkkErp06ZKQn5mZSVWqVKGvv/5a43VV93FU3gblPo4A\nhP2elOf//POP8FkqlYrKvnjxgh4+fChKU+7jqJpW9HpyuZwyMjKIiCgnJ0fIGzVqFAGgoUOHinRW\nLdujRw+N9T5//lz4vHjxYgJA7u7uaroUrbPoPo7Ko1+/fno/SyKimzdvUkJCgrCPIwAaM2aMmpwy\n7/HjxxrrOXPmDAEgDw8PjXrpy4YNG/Qqe+LECbpx44Za+v79+7WWq1atGk2YMIH69u0rql8mk6nJ\nvvPOO1r/FwDQ5s2bNeolkUgIAH3//fdqeStXrhTVsXLlSjWZjh07EgCKiIggIqJ3332XAFDfvn3V\nZCdOnCjUNWvWLNH/VGl58eIFZWdni9JMZS+y8qCi7FlMTAxJJBL6+++/BZlbt26RRCKho0ePEhFR\nZGQk1apVS3Sdw4cPk0QioYSEBCIiev/998nb21sk85///IckEgnl5uZqbKM5Pz8iEmx5QECAKF35\nPlSWfRwZ88NU3j2jz3FMSkrCvn37UFBQgK1bt6J+/fro1auXsCN7SkoKAKj1Gvr5+Ql5KSkpkEql\n8Pb2FvJtbW3h7u4uyOiDvnMi5XK56Hzfvn1q0QTOnj2rc16dtbU1unXrBjs7O6SlpRls8Yhqr1RJ\nQh0Zat6Ol5cXPDw8kJCQoFfdRIQnT56opaenpwOAqJ7SoGleae/evdGjRw/h+gDw+uuvaxzS0aV7\nbm4uNm3apNZrevfuXTXZ+Ph4nXoWraNoump+QUEBzp49i8LCQpHsjBkzNE4L0BdtbS3L/0atWrVQ\nt27dUpevbFSUPUtJSYGLi4uoh9nDwwO2trYiGdU6lNdR1SMlJUWjLkDJ7Ic5obRHRbdDYxhGgdEd\nx4KCAjg5OSE6Ohrdu3dHZGQkgoKCsHv3bp3ltH3RlpbU1FSsXLlSOC86lBsdHa21bGhoKF577TW1\n9A0bNmgtk5+fj7NnzwKA1qFsIkJeXh4uXbqkd3tVv+S/+uor4VqTJ0/Wq7wmHXSRkZGBQ4cOqckp\nr10c69evh7OzM2JjY0ulnzbmzJkjhJEqyvHjx3H69GmcPXsWUqkUM2fOFOUX/WFQlH/++UdtqLk4\nDPn/umLFCnTt2lXj/1fRoY3SXlebs1hYWIgbN26UqN7SLlKrjJSnPSvNsyyujD7TbhiGYVQxuuPY\noEEDdOvWTZTWrVs3YY6Qm5sbAODatWsiGZlMJuS5ublBLpfj+vXrQn5WVhbu3LkjyBRHp06dROf/\n/POPqEdn6tSperboFX/88UeJyxRlypQpaN++PY4ePSqkJSUlaV2hrekLPzk5Wc3JkMvl+PXXX4Xz\nkrRP9YsmJCQEb7zxRrGLkKKiorB8+XK1dOUcnJiYGFy4cEFI17eXKy8vD6GhoWqbWC9btgwTJ07U\nWbZr164AIFpg9NVXX6FKlSpCD7ImPerUqYP69etrrVfbjwBdLFy4EHfv3sWOHTtw8+ZNnbLnzp0D\noPjBUZRnz54hOztbZ3lt6NPjOH/+fHh7e+sVtUF1bqynpycaNmwILy8vJCYmCj3K5kZ52rPExESR\nTGpqqug+JiQkICsrSySjWofyOqp6uLq6atRFmaeN9PR0eHl5aTzKOifa1OFV1Ux5ExUVpfHdMhXb\naXTHsUuXLiIHBlAM8/bp0weAYsJ/06ZNBWMGKHoHnzx5Ijh7rVu3Rs2aNUUy165dg1wuV3MItbFz\n5061tP3795e4Parou6BDm1MRHx+Pr7/+GgBEXwBt2rTB77//rrGMrpXdquzcuRNdunQRzrXVV1S3\nnJwcSKVS1KpVCwDw888/AwBOnjwpDMcVRSKRICwsDLNnz8a5c+fw9OlTIU/poH333Xfo1KkTnj9/\nrnbdnJwcre04cOAAduzYge7du2uVKQnK1aZKR13Tl0TRe1JUZtiwYUI79CUlJQWdOnVCaGioxiHz\n4cOHY8WKFcUOHyYmJsLW1lbty7uojkePHlXrWdW15ZQSpcOozzCeai/3H3/8gb/++gtz585FixYt\n4ODgUGz5ykhF2bMOHTpAKpXi6tWrgoxMJoO1tTX8/f0BKH4Mv3z5UhS0QCaTCToAQGBgIBISEpCb\nmyuS8ff3h7W1tdZ2Ojg44ObNmxqP0o5uMAyjYPLkyRrfLZOxnRU0l1Ir169fp2rVqtGkSZPot99+\no08//ZSqV69OFy9eFGTWr19PNjY2NG/ePIqLiyNPT0/y9PQkuVwuyERERJC9vT2tXr2adu/eTW5u\nbtSnTx+t1y26OOaLL77QuXihPI9Lly6JzpWLY1SPVatW6VVXo0aNSq0HkebFPKqT+5OTk0XytWvX\nLrbecePGic5PnTqlVdbOzo6IxItSNB0vXrwgIhIWAAGgDRs20MCBA+nZs2elvgeOjo4EgNatW0cF\nBQV06NAhUXs13aOii2MAUHBwMM2ZM0co4+npWeJnoe156HMoJ1C3b9+eANCMGTOIiOi9994TZI4f\nPy56JyZNmiTkqS6OUd5rIqKqVasSoFi09OzZM1H51NRUcnZ2pgMHDlB+fj6lpKSo6fXJJ5+YzATv\n8qAi7dmwYcPIxcWFoqOjacOGDeTg4EATJkwQyQQEBFCLFi0oNjaWFi9eTLa2trR06VIhPycnhxo0\naEBt27alo0ePUnh4OFlZWdGuXbu0ttGcnx8RkUwmU3sPiV69i7GxsUbSjLF0TOXdM7rjSET0yy+/\nUJcuXcjBwYFCQkLo9OnTajIrV64kT09PcnR0pEGDBlFqaqoov7CwkGbNmkVNmzYlZ2dnCg0NFVYs\na6Ko42jMo169eqLzkSNHqsno6ziW5SDS7qg8ffqUPv30U5FuRKVzHFWdMW16HDhwoNh616xZozH9\n77//LvU9UDqOAMjV1ZUOHz6s9iVStIy2Fe4AKCYmRvRFVJJnoet5FHe0atWKiF45jhEREVRYWCis\nqgZAcXFxonfiww8/FPK0OY5Fr6O6Kl65kt7BwYH69eunUa8FCxaYjPErLyrKnmVnZ9OECRPI1dWV\nGjZsSOHh4VRQUCCSSUtLoxEjRlDdunXJ3d2dlixZoqbLvXv3KDg4mOrUqUPe3t60ceNGne0z9+fH\njiNjqpjKu2cSjqMxMCXHUZ+jIhxHuVyuNc/Kykqjc1OnTp0SXyc0NFRnPpF+jmPLli01pn/zzTel\nvgdOTk6ic30cx+IO5ZY6JTmePn1aqmspj1atWtHff/9NzZo10ypz8OBBIlL0NNaoUUOUV9RxvHjx\nIg0ZMkStjg8//FDYSkgfvebPn28yxo8pHeb+/NhxZEwVU3n3jL4BOKMfxp4QWzSUGaDY/iMjI6PE\ndZGBVnFqW3yk3DS5NBSdC2iIifClae93331XprliRFRsRB4iQm5uLv7zn//olJNIJOjQoYPGPOWi\nK33vORFBLpcbJPY7wzAMU/Gw9a4kLF26tNyvERMTUyL5O3fuaHQoi0OfMqVxSMuDoo7jiRMnKuS6\nZXWub9++rZdcfn5+sTKqi6jKChHprRvDmCK8qpqxdNhxZAQqKsRYcQ7qzp078c4771SILkUp+qVQ\ndEW3MrxbeUNEQvjI8kIul2tdsa7q3BXdrqWs12SYyoyhRkwYprLCjiNjcowZM8Zo1y4axWbQoEFG\n0SMpKanc4+Tu3btXa1SXolFpikPfZ2ZIJ5RhGIapeNhxZBg90WfTa0Oxbt26cr9G0ehIqpS0rZr2\nQdVEWUNIMgzDMMaFHUeG0ZPQ0FBjq1DpKRrTnWGMyZEjR7Bw4UJjq8EwlQp2HBlGT549e2ZsFRiG\nMSD9+vXDokWLSlSGF8cwlg47jgzDMAzDMIxesOPIMAzDMAzD6AU7jgzDMIxFw1vsMIz+sOPIMAzD\nMAzD6AU7jgzDMIxFwz2ODKM/7DgyDMMwjJ7wqmrG0mHHkWEYhrFoStLjyL2TjKXDjiPDMAzDMAyj\nF+w4MgzDMBaNai8i9ygyjG7YcWQYhmEYhmH0wqwcx507d6JNmzaoU6cOevfujT/++MPYKjEMY6Es\nW7YMUqkU06ZNE6WvWrUKrVq1gpOTEwYPHozU1FRRfmFhIWbPno1mzZrBxcUFoaGhePnypUgmOzsb\nEyZMQIMGDdC4cWOEh4ejoKBAJJOWloYRI0agXr168PDwwJIlS9R0vHfvHoKDg+Hg4AAfHx9s3LjR\nQK2vXHAvI8Poj9k4jgcOHMC4cePQqVMn/PDDD8jIyEDXrl3x4sULY6vGMIyF8dtvv+Hrr7+Gr6+v\naBXu+vXrMXfuXAwdOhTbt2/H7du30aNHD8jlckFm5syZ2LBhA8LCwrB27VocP34cQ4YMEdUfEhKC\nAwcOYOnSpZg1axa2b9+OSZMmiWSCgoJw5coVbNq0CSEhIYiMjMTSpUuF/JycHHTr1g2PHz/Gnj17\n0LNnT4SFhWHXrl3ldFeMx8OHD+Hj44Nz586VuS5eVc1YPGQmdO/enUJCQoTzwsJCqlGjBq1bt06j\nvJeXFwHggw8+jHB4eXlVlGmocDIyMsjDw4OOHz9OPXr0oGnTphERkVwup6ZNm9L8+fMF2UePHpFE\nIqHY2FgiInrx4gXVqlWLNm/eLMicO3eOJBIJxcfHExFRUlISValShY4dOybIxMTEULVq1ejp06dE\nRHTy5EmSSCSUmJgoyERGRpKzszPl5+cTEdHWrVvJysqKcnJyBJn333+f/P39dbbPy8ur0j2/BQsW\naPy/U/4/5ubmCmlXr14V0jXJHjhwoEJ0ZpiimMq7ZzY9jhcvXoSfn59wLpVK4ePjg/PnzxtRK4Zh\nLI3JkydjwIABeP3110VDoI8fP0ZycrLITrm4uMDZ2RkXLlwAANy4cQMZGRkiGV9fX0ilUkHm4sWL\nkMvlIhk/Pz/k5eXh6tWrAIDz58/Dzs4OzZs3F8k8efIE9+7dE2Q8PT1RrVo1kYxMJkNeXp4hbwnD\nMGaEWTiOaWlpyMnJga+vryjdz88PKSkpRtKKYRhLY/fu3ZDJZIiMjAQgHtZU2iJddiolJQVSqRTe\n3t5Cvq2tLdzd3UUyLi4ucHR0FGQ8PDxga2srklGtQ3kdVT1SUlI06gIohnYtCeI5jgyjN1bGVqA8\nISKej8IwJkh6erqxVTA4f/75J8LDw3Hs2DFYW1sDUNig4pwSfZyW0jg2xZWRSCSldpjS09Ph5eWl\nMW/y5MmYPHlyqeplGAaIiopCVFSUWnpSUhIcHByMoJEYs3AcHR0dYWNjg2vXrqFPnz5CukwmEw3V\nMAxjGpiC8TM0ly9fxtOnT9G2bVshrbCwEL/88guioqKQnJwMALh27Rrc3d0FGZlMhvfeew8A4Obm\nBrlcjuvXr6Ndu3YAgKysLCQmJsLNzU2QSU1NRXp6unAfExISkJWVJZKJjo4W6SeTyYQ8AHB1dcWZ\nM2c0yri6uupsq4ODA27cuKHnnTF9uMeRMSW0/fhq3bq1EbRRxyyGqgGgY8eOgtEDFAb7999/R6dO\nnYyoFcMwlkLv3r1x/fp1xMfHIz4+HjKZDAEBAQgJCYFMJkP9+vXRtGlTkZ1KTU3FkydPBDvVunVr\n1KxZUyRz7do1yOVyQaZDhw6QSqXCfEZA4fBZW1vD398fANCpUye8fPkSSUlJIhlnZ2c0bdoUABAY\nGIiEhATk5uaKZPz9/YUeU4ZhmKKYRY8jAERERGDIkCGoWbMmRowYgblz58LW1hbjxo0ztmoMw1gA\nNWvWVBu+tbW1hYODg5A+bdo0fPTRRyAidO7cGREREWjZsiUGDBgAALCzs8PEiRMRERE6vc+PAAAg\nAElEQVSBFy9ewNXVFREREejduzd8fHwAAM2aNcPgwYMREhKC5cuXIzMzE/Pnz0doaCicnJwAAD16\n9EC7du0QHByMVatWIT4+HsuWLcO8efNgZaUw+6NGjcL8+fPRuXNnLFu2DHFxcfjmm2/UeiotAe5x\nZBj9MRvHccCAAdi6dStWrFiBmJgYBAQE4MyZM7CzszO2agzDWCgSiUQ0zzosLAy5ubnYvHkzvvrq\nK3Tt2hUbN24UyXz++eewsrLC+vXrkZWVhaCgILX5Tjt37sTUqVMxZ84cVKlSBWPGjMGqVatEMj/+\n+CM++OADjB8/HrVr18acOXMwd+5cIb9atWr45ZdfMGnSJIwcORJubm6IiorCO++8U053g2EYc0BC\nFvpTq3Xr1rh586ax1WAYi8TLy8us5shZEsp5Vqb6/JSbqUulr2ZiffLJJ1i8eLHa/53SYc/MzISt\nrS2AV8P1gLgnUil74MABoYeYYSoSU3n3zGaOI8MwDMO4u7uXaVGkhfalMIzemM1QNcMwDMPcvXu3\nxGXYWWQY/eEeR4ZhGIbRE94bmLF02HFkGIZhLBrucWQY/WHHkWEYhrFo2HFkGP1hx5FhGIZh9ISd\nTMbSYceRYRiGsWjYGWQY/WHHkWEYhmEYhtELdhwZhmEYi0a1x7G43kdeVc1YOuw4MgzDMAzDMHrB\njiPDMAxT6UhJScHMmTORlZVV5rp4jiPD6A9HjmEYhmEqHaGhoThx4gTq1q2Ljz76yNjqMIzFwD2O\njMXj7+9vbBXKlTFjxpS67LBhw0pdtkaNGmpprVq1KnV9DKPK48ePAQAZGRllrot7HBlGf9hxZCoV\n48ePN3idV65cMXidFc2+ffs0ps+fPx/bt28vdb3r1q0rcZk6deoAAJo1ayZKnzZtGjZu3FhqXRiG\nYRjjw44jU2m4ceMGNm3aVKIyzZs315k/e/bssqhUbjRp0kQt7fz58zh16pRG+UGDBsHHx0eU9vvv\nv2PJkiXC54pCueq0W7duIkexW7duas4kw5gCJelx5FXVjKXDjiNTajp27Fih1/Py8jJ4nQsXLtRL\nLjo6usR116xZE6NGjRLOBw8erHdZTV9OHTt2RPfu3bWWUf3y69ChA7y9vYVzb29vLFiwQO/rF4en\npydsbGxQWFiIjz/+WJSnqnvPnj1F6W5ubvDw8DCYHozlYqzhZR7WZiwdozuOZ8+eRa9eveDo6AgH\nBwcMGTJElJ+WloYRI0agXr168PDwEHpQVLl37x6Cg4Ph4OAAHx+fSjccFhISUuHXDAwMLHMdhw8f\nNoAmr1Dehw4dOpSq/Ouvv17iMtWqVTOIXHJysuh/c9myZbh//z7+/e9/C2lVq1YtsX6lRZPjuWjR\nIo2yfn5+etUpl8uFz8eOHUNWVhakUikWLlwIX19fnddWxcrKfNfkRUZGon379rC3t4e/vz8WLlyI\n+/fvq8mtWrUKrVq1gpOTEwYPHozU1FRRfmFhIWbPno1mzZrBxcUFoaGhePnypUgmOzsbEyZMQIMG\nDdC4cWOEh4ejoKBAJGMJ9tMQPYAlcQbZcWQsHaM6jnFxcRg4cCA8PDxw6NAh/Prrrxg9erRIJigo\nCFeuXMGmTZsQEhKCyMhILF26VMjPyclBt27d8PjxY+zZswc9e/ZEWFgYdu3aVdHNKTU7duzQmK6v\nU1NSCgsL8a9//atMdfj5+Qlz2QzFtm3b8Oeff+Lbb7/VS/6tt94Snb/55ptqMuVl5D/66CP88ssv\nuHTpEr7++ms0btwY8+fPF/KHDh0KBwcHNGrUSEhbvXq13vVrGqo2JKo9oW+88QYAoE2bNjqdyKJf\n0MpzqVSKZcuWCemfffYZAOC9994zmL6VhZ9//hlTpkzB+fPnsWzZMpw6dQoffPCBSGb9+vWYO3cu\nhg4diu3bt+P27dvo0aOHyDGfOXMmNmzYgLCwMKxduxbHjx9X+1EdEhKCAwcOYOnSpZg1axa2b9+O\nSZMmiWQswX5WNOw4MhYPGYmCggLy9PSkOXPmaJU5efIkSSQSSkxMFNIiIyPJ2dmZ8vPziYho69at\nZGVlRTk5OYLM+++/T/7+/jqv7+XlRQAMcgwcOLBM5YlIY3pgYKDBdARAe/bsocLCQiIiksvlZarL\nz89Pq95luQ9ERElJSWp5q1evFvJV01RlvvjiC7VyISEhBID8/f0pLS2NvvzyS43XLE633bt3i86v\nX7+u8f+qbt26BIAePnwopP3555+Ul5en9/1asWIFffjhhwSArK2tCQDZ2NgI9cXGxtK///1vtXZ4\ne3sL5x06dNCon6b/uXnz5hEAatOmjdr/RXp6uqiMvb29kK7KoUOH1O4pEdHdu3eF9BMnTgjvnpeX\nl0b9zI0bN26QRCKh27dvE5HivWvatCnNnz9fkHn06BFJJBKKjY0lIqIXL15QrVq1aPPmzYLMuXPn\nSCKRUHx8PBEp3pEqVarQsWPHBJmYmBiqVq0aPX36lIjKz36ayvNT2vAFCxaI0jX9Hy5YsIAAqOmt\nlFXeMyKiy5cva6xDmaZ8TgxT0ZjKu2e0Hsfbt2/jjz/+gKOjI3r06IFWrVrhs88+w6NHjwSZ8+fP\nw87OTrTAwc/PD0+ePMG9e/cEGU9PT1HvnJ+fH2QyGfLy8iqkLWvWrMGdO3cq5FplITAwEFKp4pHr\nGt756aefiq2rf//+onM7O7sy6aard/XNN9/EtGnT1NJHjRqFunXrCudVqlQR5cvlcri5uQnnDg4O\nGreIKUq9evUAACNHjhTSXF1dRTL169fXWDY+Ph6HDx8W5Tdo0EAYpn78+DF+/fVXXLhwATExMRrr\niIiIED537NgRixYtwuXLl4W0N998E2vWrFErV7t27eKahqdPnyI9PR0AcOjQIaxevVrUg1L0/6Jo\nr/KtW7dw7NgxtfSAgAAAiqFaVZo0aYIxY8Zg5MiR6NGjR7H6mRvKXkTl38ePHyM5OVnUs+vi4gJn\nZ2dcuHABgGIRWEZGhkjG19cXUqlUkLl48SLkcrlIxs/PD3l5ebh69SqAymM/S4vy/7aiF6vw4hjG\n0jGa45iUlAQAWLt2LQYOHIh169bh1KlTeO211wSZlJQU0QR/4NV8rJSUFOGv6vwqVZmHDx/q1MGQ\nBqBFixZo3759icvNmjVLax4ZeEhE3/b27t1bZ/7169exePFiUZq+8+QAxfwuJcp5d6oLN2xsbETy\nqs6hKvXr18eTJ09ga2sLQLFvoKpequ1VftZ2DyZPnix8jo+Px8uXL0VD4V27dsX333+Pp0+fIi0t\nDQ4ODlp1Cg4O1pgHKJzSwMBAdOjQQeMeifHx8ZBIJILT+uGHH2LBggV6LQzSNuVBFScnJ8Hp69ev\nH6ZNmyY4Dfo41fXr10evXr3U0uvWrQu5XK62Sl0ikWD79u3YvXu3xX3hyuVyhIeHIygoSNi/Umm3\nNNksVZsmlUpFts/W1hbu7u4iGRcXFzg6OgoyHh4esLW1FcmUp/2sTBT3v0cliFXNMJaOwR3HhQsX\nQiqV6jyuXbsmTOIeO3YsIiIi0LdvX3z77be4d+8eLl26JNRX3EsskUhK/aIbejNi1R4qfQgLCxPN\nDSsO5eIRTV/cqsTFxaFbt24l0kXJiRMnipVp3bq1Wu/elClTYG9vr1cEh+nTp2PPnj1ITEzEnDlz\ncOTIEVE5V1dXfPnllzhz5gzmzZuHzz//XGd9O3fuhJOTE/r376+2wldf1q9fL3yuXr26mhMlkUgw\ndOhQODk5aXUaDYHyS/y1115Dfn6+aC5icTRp0gTTp08v8TXDw8MRGhoq7PdY2tXrluYY6oKIMGnS\nJNy9exebN2/WS94QMiUtUxb7WZkwZBv5/5yxdAy+vFH5JaSLhg0bIjs7GwBE24s4OTmhVatWOH78\nOAICAuDm5qa2DYpMJgMAYQjS1dUVZ86c0ShTdHixKMohu7KiHKb19PQ0SH1KpFIprly5gtWrV6NT\np06YPHkyvvjiC9SqVUvnytT+/fsjODhYzbnTB9XtU/QhPDwc69atQ0BAAJ4/f47s7GysWLGi2HIj\nRowQPgcFBanlK3sAu3TpUmxdQ4YMES0c+PDDD9GpUyeNstrqK0nvpKEo7vkUt/q4SZMmSE5OLrMe\n9vb2ovfs3LlzsLe3L3O9UVFRiIqKUktPSkoqV+fbFJgyZQoOHz6M06dPi6ZLKD9fu3YN7u7uQrpM\nJhMWE7m5uUEul+P69eto164dACArKwuJiYlCeTc3N6SmpiI9PV24lwkJCcjKyhLJlJf9TE9P1/oD\nY/LkyaIe/PKiNEPV2mS5x5ExJUzddhrccaxTp45eq21bt24Ne3t7nD17Fn369AGgMEa3b98Whko7\ndeqEly9fIikpSZinI5PJ4OzsjKZNmwJQzNvbsmULcnNzhSE3mUwGf39/WFtb69TBwcFBbRuMkrJ2\n7VphTlz//v1x6tQpODk5qQ0RjRs3Dtu2bStR3Vu2bEHLli1FQ5D6rmRWzmU0FD179sTJkyfV6l2z\nZg2WLFkiOM/Vq1fH//3f/8Hb2xupqakYPny4EBqsolB94Yp+CbRo0QI5OTlqw+HGQCqVIiMjA0eP\nHi1VaL/t27eLpnYYilq1agGA2v9wSdHmQLRu3bpM9Zo6YWFhiI2NxalTpwQ7pURpu2QymfDMU1NT\n8eTJE+HHTuvWrVGzZk3IZDLBcbx27Rrkcrkg06FDB0ilUly9elUYgZDJZLC2thZCaJan/XRwcMCN\nGzcMcr/KSkkcR0M4hdzjyJQ3Jm87K3o1jirz5s0jFxcX+uqrr+jMmTP05ptvUuvWrUUyAQEB1KJF\nC4qNjaXFixeTra0tLV26VMjPycmhBg0aUNu2beno0aMUHh5OVlZWtGvXLp3XVq5OQpEVrSNGjCjR\nSuAbN25orN/W1lYkl5OTo1Y2LCxMkFdN79evH/3yyy869delk5Lu3buL0l+8eFFsHdry/vvf/9KL\nFy8oMzNTp15FmThxotZrlJaS1DNz5kwCQG3bthWlf/PNN3Tp0iWN9f7zzz9ERJSYmEgAaPLkyWXW\nWRc//PBDqe5NQkKCWrmIiAidq6r1JScnR1iBD4B8fX3LVJ8qprIysDyYNGkS1a5dm06fPk2PHj0S\njuzsbEFm/fr1ZGNjQ/PmzaO4uDjy9PQkT09PksvlgkxERATZ29vT6tWraffu3eTm5kZ9+vQRXWvY\nsGHk4uJC0dHRtGHDBnJwcKAJEyaIZMrDfprK8/P09CQAtGjRIlG6pnepuFXVqampQtrFixd1rqo+\nePCggVvCMPphKu+eUR1HIqJFixaRh4cHNWnShBYvXkwpKSmi/LS0NBoxYgTVrVuX3N3dacmSJWp1\n3Lt3j4KDg6lOnTrk7e1NGzduLPa62hzH4cOHF+ssOjs7C59v3rypsf5+/fqVyHHUZqy0oY/jqCp3\n4MABtTrq1asnOBlFyyrzlMfevXv10qsoOTk59Msvv4jaX1YM4TjqqlfVwU5PTxd9oZcHpXUciYhO\nnz5Nz549E85TU1Opb9++Wn/QlIbMzEwqKCgwWH2mYvzKA4lEQlKplCQSieiIjo4Wya1cuZI8PT3J\n0dGRBg0aJHJciIgKCwtp1qxZ1LRpU3J2dqbQ0FDKyMgQyWRnZ9OECRPI1dWVGjZsSOHh4WrPqTzs\np6k8P6XjuHjxYlG6LsexaMdEaRzHuLg4A7eEYfTDVN49o4dwWLBggc5QaA4ODtizZ4/OOpo0aWLw\nKCa6UB2qIC1DH7t378bZs2eFbWuKGzpu3749pk2bVi5Dj4BiXmlRlLqHhITg4sWLorxr167hxo0b\nxS7EKY5q1aqha9euZaqjLFAp5kGpPlNDb3KuCeVwZGniZhf9f3F2dsaPP/5oEL2UKFetM8Wjuom3\nLiIiIkTbLhVFuam6rsVzNjY2+Prrr3VexxTtp6HQZntLU4Z4jiPD6I3RHcfKxBdffIGpU6fqZVhq\n1aqFfv36CedVq1bFoUOH8O2332Lnzp0ay5Qksogqjx49Qk5Ojtp8qrLg7OwMZ2dng9XHaKdRo0bI\nzs42iXmXDGOOlGQ7nrLWxTDmjtFjVZsaJV0QUBKD069fPzRr1qykKhWLi4tLqULUVbQB3LVrF2bO\nnFmh16wsRp6dRobRzv79+3Hr1i1RWklsb3nJMowlwo5jEWbPno3vv/++Qq5VlmgryrjMgwcPNpQ6\nGlEOceuzOXRxvPPOO1i+fHmZ6ykJpfkSqCzOJsNYCoMGDVLb/qck01CUUwi0TRniHkeG0R+LH6q+\ndu0aEhISMHz4cACKOXlDhw7VWcZQhkNX1JjiUDpyRQ2hj49PmXQqysmTJ7Fr1y707dvXoPWWBXd3\nd53RWRiGYVQpiZPJPY4MoxuLdxx9fHwMstmxvigNl5eXV5muGxkZifT0dKxcuVJIy8nJEWIi60OH\nDh1w8OBBNGjQQKtM8+bNdS5eMgYJCQnGVoFhmEqE0hnkHkeGKTsW7zgCFWsIDPVrtnHjxjhy5Igo\nTbmBr77s3LkTR48eLffhbmPCvQcMU7kp7h0uSS8i9zgyTNnhOY4A6tatC0AR3cXcGDRoEACIwp4p\nsbe3x4gRIyziF7QhwpIxDFO+EBEyMzNFadq2OCrNghd9Qg4WB9sHxtJhxxGKFa15eXnYunWrxvxf\nfvkFt2/fxttvvw3v/2fvvMOiuLo//t0VQbGDCoINBYWlCLbY0aCB+JpoVCyvBEnURGIhiUaNmtg1\nJtb4YjSxYYnGvCaWn6/GTmLBhljARlODAgpGiiBlz++PcWd32KUpsMtyPs8zz+6ce+bOuTs7Z8/e\nufdcFxf8/PPPYpmh/zvds2cPkpOT0bBhQ32bUmkw9GvKMMbKhx9+iNq1ayM1NVWUlcX9qAo+uceR\nYV4fDhxfUtTYwB49eqBt27Zo2LAhrl+/jj59+lSgZa9HtWrVxB7VqsioUaMAALNmzdKzJQzDFMeW\nLVsAAPfu3RNlFfGourBzbNu27ZXOxxguT58+1bcJlR4OHF8T/ndq2Li7u0OpVJZqHCf/MDCM4VCY\nj42OjgaAEqX4ysnJAQBcvny5VOfz9/cviYlGR0xMDFJSUvRtRpmze/duWFhY6FyEY9++fZDJZIiJ\niXnt8yiVSjx58uS16zFUOHAsZ7y8vGBqaqpvM6o0HAgyTOWiNEsApqWlFVtfWFhYic9XHBXtT5Yu\nXYrZs2eXW/15eXlaMnt7+zIb3qRUKis0CI2JicHQoUNx4cIFtG3bFhcvXhTLfvvtN8mrJqolQItb\norMk+Pv7o1GjRnj48OFr12WIcOBYCMU5mpJy9OhRZGVliftNmjQBINyYDMMwVZnIyEj8888/hZbH\nxsbi2rVr4r6vr2+J1wPXpGAgGh8fX6J1q1VonlPTHgAIDQ3FiRMnSm1TQbKzs5Gfn68lnzFjBhYt\nWoTs7Gw8efIEERERSElJQZMmTXQGQEXVn52dLe5nZmZi/PjxqF69Oi5duiTKExMTxffHjh2T1BEZ\nGYm7d+9KgjGV3vjx43V+dgEBAWjYsKEYRGVmZmLr1q0YMmQIIiMjS2x/YcTHx+P58+fi/rhx47Bn\nzx688cYbuHPnDj799FOx7JdffgEgDf79/f0lE2PL4o/Bjh07AAhBbGRkJD788ENkZ2cjNDRU7Ckv\njPT0dAwcOBDh4eEAhO9XwQwqeoeqKAqFghQKRZE6AKiwj2jZsmVUu3Ztev78eanOm5OTQ2vWrKEn\nT56U6rjy5s6dO3TmzBl9m6FXVNc7PT1d36YYNSW59xjDRaFQUKNGjSgvL08iz8/PJxcXF2rdujVl\nZWWRUqkstI7MzEzKysoiANS8eXNRrroHL1++TD179hT3Nbf4+HiJLgDKzc0lpVJJT58+FWX/+c9/\nxHo7deokyjdv3kwAaP369aKsZs2aNHfuXCIi+uuvvyR1Ozo6atlw+fJlys/Pl9ihyR9//EG7du3S\n+nwOHz5Mz549I6VSSffu3aM5c+bQmDFjxHrc3Ny0Pitdn0G3bt3E97GxsfTzzz9rHXfx4kX66KOP\niIjozz//1LLz7bffFmWDBg0iIqJr165pnevTTz+lu3fv0tixYyXye/fuUWxsrMTG+Ph4UiqVtHbt\nWvrtt98kZadOnaKzZ89K6nByctL5/bh58yYFBgZSdna2VplSqaRLly5RTk4OZWRkEABycXHRaqdq\nc3Nzo3Xr1knaNnTo0EI/3yVLlhARSX4H8vLyKDExUaetRMLvp1wupwMHDpBSqRTr2rNnDzVv3pwA\n0MaNG3V+V/Ly8mj69Ol0+fJlioqKoqlTpxIAatKkCb3//vviMQMHDqQ2bdoYhO/kwLEIGjduXGjg\nyBgfqhs0IyND36YYNRw4Vm4UCgUBoJCQEAoPD6fevXvrDG6GDh1K48ePp9GjR9OmTZto2bJlNHLk\nSDHoadq0qaj74MEDItIdJBXcvvrqq0J1t23bJtk/d+4c2dvbl6heAJSXl0fvvPNOsXqrV68mAJK2\n79mzh7Kysig4OFiU7dy5k3JycoiIaOvWrYXWN23aNMn+9OnT6ebNm+JvUEm2IUOG0Lp16+jLL7+k\nkydPivKjR49Sjx49xH1VQF/w+MOHD5f4XJqbq6troWVOTk7ie1XAXnBr1qwZZWVlEZEQFLZq1UpS\nHhwcTHv37hW/f3v27CEANGzYMEpKSpIEVpoBdVFbx44d6fDhw7Ry5coi9YKCgsRADgCNHz+eYmJi\niIjEPw4//PCD5Jhx48aV+LOztLTUCshVW6NGjbRk1atXNwjfKSOqmrM7nJ2dAaDIrvL09HSkpKSg\nZcuWFWQVo09UjygyMjLKZG1uRjclufcYw8XZ2RlRUVH6NqNc2Lp1a7lMiFmwYAG+/fZbpKenl3nd\nxsK0adPw7bffFlru6OiI7t27Y+PGjRVoVdF07doVsbGxSEpKqrBzKhQKvfvOKh04pqam4tGjR/o2\npdwIDg7GhAkT9G1GuVHW7VMFjpmZmTA3Ny+zel8VY71+VeHeM2aMOXBkGEPH2tpa776zSk+O0Uwy\na4wEBwfr24Rypazbd+bMGXz33XcGETQCxn39jP3eYxiGKQ8MwXeWa+C4aNEidOvWDebm5mjQoIFW\n+dWrVzFy5Eg0b94cFhYWGDFihM6p8HFxcfDx8YGFhQVcXV2xfv16LZ3w8HD06tUL9evXR8eOHbF3\n795yaRNjvHTr1g1Tp07VtxkMU+Fs374d7dq1Q4MGDdC3b1/cvn1b3yYxDGOglGvgmJubi+HDh+OT\nTz7RWR4eHg5ra2vs2LED586dQ+fOnTFq1CicP39e1MnOzkbPnj2RlJSE3bt3o0+fPpg4caI43R0A\nHj16BE9PT1SrVg379+9H27ZtMXToUPz111/l2TyGYZhKz4EDBxAQEIAuXbrgt99+Q3p6Onr06FGi\n/IgMw1RBKmIGzubNm6l+/fol0vX19aURI0ZIjjUxMZFMy//444/Jw8ND3J8zZw41a9ZMUo+3tze9\n9957hZ5HoVCQqalpSZtQKSks1YGxwO2rnFSFe68y4enpSX5+fuJ+fn4+1apVi1avXq1TXzWrmjfe\neKv4zRB8p8GNcVQqlZJkq2FhYXB0dISZmZkoc3d3R0REhLiMVFhYGNq1ayepx93dvcySeDMMwxgr\nFy5cgLu7u7gvl8vh6urK/pNhGJ2Y6NsATU6cOIH9+/cjNDRUlCUkJMDNzU2ip3JyDx8+RMuWLfHw\n4UO88847WjrLli2DUqmEXK4dH9+/fx+5ubliahBjJCYmhttXiTHW9sXExCA3N1ffZjAAUlJSkJ2d\nrdPHFjZz+v79+xVhGsMwOjAE31nqwHHu3LmYP39+kToRERFajqg4rl+/juHDh+Prr79G165dRblM\nJivVOqIlpVatWsjOzi50+R8LCwtYWFiU+Xkrkspuf3Fw+wyb1NRUnTMA8/LyeP12A4eICl16TeU7\ndf0hB4zDd6amplb6NhSFMbfPGNpWlO+sXr26HiySUurAMSgoqNgEqc2aNStVnZGRkfDy8sK4ceO0\nFnO3sbHB6dOnJbKIiAixDABsbW1x9epVLR0rK6tCnZvmepwMwzBVEUtLS9SoUQPXrl1Dv379RHlE\nRARat26t8xj2nQxTtSl14NigQQOdqXVeFVXQ+MEHH2Dx4sVa5V27dsWmTZvw4sULcZxjREQEPDw8\nxF6LLl26aGWTj4iIQJcuXcrMToZhGGPkjTfeEP+MA0B+fj6uX7+OUaNG6dEqhmEMlXKdHHP//n1E\nRETg/v37yM/Px9WrVxEREYHMzEwAQtDYp08f9OvXD59//jkSExORmJiIx48fi3WMGDECVlZW6Nat\nG44ePYpPP/0UGzduxJQpU0Sdjz/+GP/88w/69u2L0NBQvP/++zhx4gQ+/fTT8mwewzBMpWfKlCnY\ntWsXAgMDceLECXTv3h3m5uYICAjQt2kMwxgg5brkYEBAALZu3Sqc6OVYRZlMhpMnT6JXr16Fjpds\n2bIlYmNjxf34+HgEBgbi/PnzsLW1xaRJk/DRRx9Jjrly5QqCgoJw9epVODg44KuvvsLAgQPLq2kM\nwzBGw/bt2/Hdd9/h3r176NixI4KDg9G2bVt9m8UwjAFSZdeqZhiGYRiGYUqHweVxrAgqw/JaS5Ys\nQadOnVCvXj14eHhg7ty5uHfvnkQnICAAcrlcsvXv31+ik5+fjxkzZqBVq1awtraGv78/MjIyJDpZ\nWVkYN24cmjZtihYtWiAoKAh5eXnl2r65c+dq2a5QKCQ6y5cvh5OTExo2bIhBgwZpDco31La1bNlS\nq21yuRyTJk0CUPmu259//ol33nkHtra2kMvl2Ldvn5ZORV2rlJQU+Pr6onHjxmjTpg0WLFhQ5u1l\nCod9p379izH7TYB9Z6XxnXpMPq4X9u/fT9WqVaOPPvqITpw4QZ07d6aGDRvSs2fP9G2aBB8fHwoJ\nCaGoqCg6fPgweXp6ko+Pj0QnICCA+vfvT0lJSeL2zz//SHQ+//xzqlOnDi1fvgmxgWoAACAASURB\nVJx27txJNjY21LdvX4nO4MGDycrKirZs2ULBwcFUv359Gjt2bLm2b86cOeTq6iqxPSUlRSz//vvv\nydTUlGbOnEkHDx6ktm3bUtu2bSk/P9/g2/bkyRNJu44dO0YymYxCQ0OJqPJdt0OHDtFXX31Fv//+\nO8lkMtq3b5+kvCKvVYcOHahVq1a0d+9emjdvHtWsWZMWLlxY5m1mtGHfqX//Ysx+k4h9Z2XxnVUu\ncCzt8lqGQmRkJMlkMrp165YoGz16NA0aNKjQY9LS0qhu3bq0YcMGUXbu3DmSyWR09epVIiKKiYmh\natWq0bFjx0SdnTt3kpmZGT1+/LgcWiIwZ84ccnd311mmVCrJzs6OZs+eLcoePXokufEMuW0FCQoK\nIgcHB3G/Ml+3gs6vIq/VyZMnSSaTUXR0tKizZMkSsrKyotzc3PJpMCPCvlP/92BV8ptE7DsN1XdW\nuUfVlXV5LdUyjJrLMcpkMpw6dQpWVlbo378/du7ciaysLLE8MjIS6enpkva6ublBLpfj/PnzAITP\nQ6lUSnTc3d2Rk5ODK1eulGub7t69C1tbW/Tq1Qs//fQTnj17BgBISkpCfHy8xCZra2tYWVmJdht6\n21Tk5ORg+/bt+PDDD0VZZb9umlTktQoLC0OdOnUk+QXd3d2RnJyMuLi4cm0nw77TUO7BquA3Afad\ngOH6zioVOBa1vFZCQoKerCoepVKJoKAgeHt7w8nJSZS//fbb2LlzJ44ePYo+ffrg66+/ltxkCQkJ\nkMvlcHFxEWXm5uZwcHAQ25uQkABra2tYWlqKOm3atIG5uXm5fiZdu3bF9u3bcfjwYYwYMQJr166F\nj4+PaBOAIq+TIbdNk7179+LZs2eS1CaV+boVpCKvVUJCgqQO1Xk07WDKB/adhnEPVhW/CbDvVOkY\nou80qLWq9QUVsbyWviEiBAYGIjY2VmsFnWHDhonv3dzc0K5dOwwcOBD//PMP6tevX2Sd+sbb21t8\n7+rqCi8vLzg5OeHmzZuFHlMSuw2hbZps3LgR/fv3h7W1tSirzNetpJTXtapMn0FVgH1nxVJV/CbA\nvvN1dcrimMKoUj2OmstraRIREQFbW1s9WVU0kyZNwqFDh3DixIlibfTy8oJcLsfBgwcBCEsxKpVK\n3LhxQ9R5/vw5oqOjxbpsbW2RmJgoWRfzzp07eP78eYV+Jm3btkWbNm3w22+/oWnTpgBQ5HWqDG27\nd+8ejh8/jrFjxxapV5mvm+pcFXGtbG1tJXWozqNpB1M+sO80zHvQGP0mwL7T0H1nlQocgcKX1zLE\n5QknTpyIffv24eTJk7CzsytW/9SpU8jKykKTJk0AAM7Ozqhdu7akvdeuXYNSqRTb27lzZ8jlcsnY\njoiICJiamsLDw6OMW1Q40dHRuHv3Lpo0aQIrKyvY2dlJ7E5MTERycrJod2Vo2+bNm2FlZYV//etf\nRepV5utWkdeqS5cuyMjIQExMjERHZQNTvrDvNLx70Bj9JsC+0+B9Z6mn01RyDhw4QCYmJjR+/Hg6\nfvw4vfHGG9SwYUNKS0vTt2kSAgMDqX79+hQaGkqPHj0St6ysLCIiysjIoKlTp1JYWBjdvXuX1q5d\nSwqFgtq3b095eXliPVOmTKF69erRihUraNeuXWRra0v9+vWTnGvIkCFkbW1NISEhtHbtWrKwsKBx\n48aVa/umTJlCoaGhFBMTQyEhIfTGG29Q8+bNxdQea9asoRo1atCsWbPo4MGD5OjoSI6OjqRUKg2+\nbUTCjNPmzZvTl19+KZFXxuuWkZFBV65coStXrpBMJqOVK1fSlStX6P79+0RUsdeqY8eOZG9vT/v2\n7aP58+eTubk5LVq0qMzbzGjDvlP//sXY/SYR+87K4DurXOBIRLRt2zZyc3OjevXqkZeXlyRNg6Eg\nk8lILpeTTCaTbCEhIURElJWVRd7e3tS4cWOqVasWDRgwgDZt2kRPnz6V1JOfn0/Tp08nOzs7srKy\nIn9/f0pPT5foZGVl0bhx48jGxoaaNWtGQUFBkhuxPBgxYgTZ2NhQzZo16c0336Q1a9bQo0ePJDrL\nli0jR0dHsrS0pIEDB1JiYmKlaBsR0R9//EFyuZzu3r2rZU9lu26qVA4Fv5MffPCBqFNR1yolJYV8\nfX2pUaNG5ODgQAsWLCjz9jKFw75Tv/7F2P0mEfvOyuA7DSJwfPr0KY0dO5Zat25NNWvWJFdXV7p0\n6ZJEp+CHW/BmycvLk3y477//vtaHyzAMU96sXLmS+vXrR5aWltS/f39at26dlk5Z+LPnz5/T2LFj\nydbWlpo3b06TJ0/Wysn25MkTGjp0qPhjMX/+fC1bYmNjydvbmxo0aEAuLi467WUYhlGh98AxIyOD\n7O3tycvLi3bs2EFxcXF09OhRiomJEXXKKrs6wzBMebJ//36qWbMmbdu2jW7evEnr16+natWq0enT\np0UdQ1otIisri2xtbcnd3Z2OHj1KkyZNIhMTE9q+fXs5fUIMw1R29B44Lly4kGxsbAotL6vs6gzD\nMOXNyJEjaciQIRJZnz59aMKECURkeKtFbN68mUxMTCg7O1vU+fjjj8nDw6NMPg+GYYwPvc+q3rt3\nLzw9PTFmzBi0atUKAQEBOHPmjFheVtnVGYZhypuBAwfixIkTCAsLw4sXL3DixAmcP38e7777LgDD\nWy0iLCwMjo6OMDMzk+hEREQgJyenrD8ehmGMAL0HjjExMdi7dy/y8vKwefNmNGnSBF5eXmLC1rLK\nrs4wDFPeDB8+HKtWrUK3bt1Qq1YtvPXWW9i5cyfeeustAIa3WkRCQoJOWwDg4cOHr/FJMAxjrOh9\n5Zi8vDw0bNgQISEhAABPT09ERUVh165d6NGjR6HH0WtmQbe2tkZmZiaaN2/+WvUwDFM67t+/j1q1\naiExMVHfppQ5W7duxYwZM7B8+XJ0794dJ0+exLhx46BUKjFo0KBCjyuJP3sVn1fcMTKZrNT1su9k\nGP1gKL5T74Fj06ZNtZJu9uzZExs2bAAgza7u4OAg6kRERGDMmDGijiq7eocOHQAI2dVVi8HrIjMz\nE88zMhAdHa2z3MLCAhYWFq/XOD2Tmppa6dtQFNw+wyY1NVWymoGK3NxcZGdn68Gi8mfZsmUICAjA\nZ599BkBIzhsfH49Vq1Zh0KBBr+XPClstQvUd0bVahOoPueZ5VGUAYGNjo7Ucn0rHxsZGZxszMzNF\ne3TBvtPwMeb2GUPbDN136j1w7N69O44dOyaRnTlzBv369QMgza4+ZMgQAEVnV1c52oLZ1QvSvHlz\nREdF4UVSElDEGpeVGYVCgcjISH2bUW5w+yonzs7OhQYdlZ3q1aujevXqEpmJiYkoKyt/prlahJeX\nF4CiV4tQjXMsuFpE165dsWnTJrx48UIc5xgREQEPDw+YmprqbGPz5s0RHR2NFy9elM2HZoAY672n\nwpjbZ8xtMxjfqdepOUR048YNMjMzo8DAQLp48SItXLiQatasSRcuXBB1yiq7uiYKhYJMAaICyUON\nCScnJ32bUK5w+yonCoWCTE1N9W1GubBu3Tpq1KgR/fjjj3T9+nX6z3/+Q3Xr1qU9e/aIOoa0WkR2\ndjY1bdqU2rdvT0eOHKGgoCAyMTGhHTt2FNpGY75+Koz13lNhzO0z5rYZyr2n98CRiOivv/6i7t27\nk4WFBfn5+VFoaKiWTllkV9dEZ+CYl0e0ezeRgS2h9aoY8w1ExO2rrBiK8ysPsrKyKDg4mN5++22y\ntLSkQYMG0YYNG7RWcTCk1SLi4uLIx8dHTAC+fv36IttozNdPhbHeeyqMuX3G3DZDufdkRK85y6SS\n4uzsLDyqfvpU/ah661Zg9GjAzw/Ytk2/BpYBCoUCUVFR5VL3/Pnz8csvv5RL3SUlOjoa9vb2erWh\nPDGW9g0fPhxff/21uK963GLMjzqNmapw/XT5TkPweWWFsfgWXRhT2wzVd+o9HY9B8TK3GcLD9WtH\nJeCXX37R+1gLY3EOhWEM7YuOjjaaH1umamMIPq+sMAbfUhjG0jZD9p16nxxj8Lx4AeTkAHXq6NsS\ng8Pe3t5oByEzZYOzs7O+TWCYMoN9HlNRGLLvrNI9jiWasG9jA9StC1TCZLgTJkzQtwkMo5PKni6j\nqmPs1499J2OoGMK9x4HjvHnCTloaMHeutpIql1Ih+SChVAK5ueVg3evDzk/Nzp074ebmBjs7O3h6\neuLq1atiWe/eveHo6Ih27drBz88PsbGxOuvYsmULJk2apLNs1KhR6NixI3bv3o1x48bh1q1bAICW\nLVsiNTUVz549ww8//FD2DXvJ3LlzsXz58hLpXr58GUFBQXq1wRCcH/PqGPv1MxbfyX6v7AkNDcW5\nc+cq9JyaGMK9V6UDRwDAqlXCq8YNVSj/+x/w5IlUplAAheQ7Y/RPfn4+Ll26hEWLFiE4OBgxMTEY\nM2YMBg0ahPz8fADC6hk///wzrl69Cjc3N6xdu1ZnXTKZTKf82rVrSEhIwKVLlzBs2DD89NNPcHR0\nlBzz9OnTQustDBKyHpRItzDbdNGhQwesXr26VLaUtQ0Mw5Qf7PfKj5MnT+Ls2bM6y1SfrbHDgSMA\ndOoEzJql3icCYmOB/fulev/6F/Dmm8Djx8CSJUB2NnD7trr84UMgPh5o2hTo0gVIT1eXvfOO9BzM\naxEfHw9XV1dxf9myZZj3sve4d+/emDVrFjp27IjVq1fj999/x6RJk9CzZ0/I5XL4+/ujc+fOOHny\npFa9Xl5eEvmRI0fQtWtXdO7cWVxRQ5Pk5GQMHjwYERERaN++PWJjY9G7d2+Ea0ywIiLMmDEDMTEx\n8PDwwPTp0wEAv/76KwYMGICePXvixx9/FNvl5OSEjz76CG5ubnjw4IFOPUDoTWjfvj169OiB+/fv\n6/ycjh49il69eqFdu3bo3bs3AODUqVN45513AAiO/fPPP4ejoyMmT54s9hTEx8dDoVBgwoQJUCgU\nGD9+PHJf9qz/9NNP6Ny5Mzp06IBp06YhJyen+AvGMMxrw37v1f3eli1bMGzYMLz55ptwd3fHjh07\nRP1jx47B19cXXbt2xeLFi0X5+fPnMWrUKLRr1w79+vXDvXv3sH79eqxcuRLt27fH6dOnERAQgM8/\n/xxvvPEGpk+fjnnz5kl6QV1cXHD//n3Rp3700UdwcHDApEmTcPbsWXTv3h3du3fHjRs3dLbFINFf\nJiD9olAoSCGEiKXf3n1XeF2xQi3LyNDW00i0K8o0uX2bKDi4YhteRigUClIoFHo7f1xcHLm4uIj7\ny5Yto3nz5hERUe/evWnkyJH04sULIhLyesXGxkqO37hxIwUGBor6ly5dotzcXPryyy/pww8/JCKi\nvLw8atmyJUVHR9OTJ0/I3d2dJk2apGXLqVOnaMCAAeJ+79696fLly0RE1LJlS0pJSaH4+HiJvXFx\ncTRs2DDKzc2lFy9ekKenJz18+JDi4uJIJpPR3r17i9R7/PgxOTg40KNHj+jevXtka2tLy5cv17LN\n09OTYmJiiIjo2bNnRER08uRJ0d5vv/2WpkyZQkqlkjZt2kQymYxSUlJEO44dO0b5+fnk7e0t5ldN\nSUkhIiKlUkkTJkygw4cPExHR3LlzadmyZZLz6/qe6Pu7w7weVfX6GUK72e+9ut/bvHkzNWjQgGJj\nY+nRo0dkb29PT548oczMTOrbty9lZWVRfn4+jRgxgsLCwoiIqG3btnTp0iUiInr6Mufz3LlzJecc\nPXo0eXp6UtrL/M8F/aCLiwvdu3dPbOOpU6foxYsX1KZNG/L19aUXL17Qli1baOLEiZI2GLLv5FnV\nr4JqLMjnn6tlaWnaesXlWnJzE3S8vIC2bdXy3FygwLJllYp33wViYl7t2NattXt6SwhpPN7497//\nLS6ZRkRajzSICJmZmeL7UaNG4dmzZyAicZxOWFgYXFxcxOXaBg4ciJSUlCLPWxLbAGDPnj24cOEC\nOnXqBEBY//fEiRPo3r07LC0tMXDgwEL1jh8/DplMBh8fH1hbWwMA+vbtq9OOHj16YMyYMRg9ejRG\njhypVX7kyBF8++23kMlkGDlyJD755BOxzNbWVlzOztPTE+fOnUOvXr0QGxuLyZMn48qVK8jKyoKp\nqSm8vb2L/QwYxmjRk88D2O+Vxu/17NlTXG7T29sbhw8fRo0aNRAVFYWuXbsCALKzs3Hy5EnI5XK0\naNFCXPazvsbSxJrnlMlkGDp0KOqUIPOKra0tPD09AQAdO3aEl5cXTE1N0bVrV6xZs6bY4w0FflT9\nKpSmS/nuXeD4cfW+5uNrVWD58kYGAERGCmMmVWMvGZ3UqFFDkgQ1JSVF4iRtbGzE9++99x7++OMP\nyfFHjhxBt27dAKjH+jx48ADvvfceFi5cKMrLC6VSiYCAAFy5cgVXrlzBnTt3MGrUKAAQnWJhen5+\nfpDJZCVy3AsXLsTq1asRFRUFFxcX8XFzSdB0lKampuLnPXXqVIwePRqRkZEICgrC06dPS1wnwzCv\nDvu91/N7uo5VKpV46623xHPdvHkTM2bMKFW7mjRpIr4veI00/WNBn1qvXj3xvb6TepcGDhzLCs2A\nUJM2bYC+fdX7nTtr62h+mY8dE16/+UYte/ECePZMekx2NrBvH5CX92r2lif79wsB8KtsJfznbW1t\nDaVSiYSEBKSmpmLfvn2F6g4ePBjBwcE4c+YM8vPzsX37dkRGRorj/ADBoZiYmGDlypX49ddfcf/+\nfbzxxhuIjIxEbGwsUlJSsH///ld2qlZWVkjT6JUeMWIE9uzZI47RSUhIwOPHj7WOK0zP29sbR44c\nQVJSEh48eCD+Gy9ITEwM3NzcsHTpUpiZmSEpKUlS7u3tjZ9//hlKpRK//PJLkc5L5XQfPnwIBwcH\nPH36FDt37hTPWxKHzjBGSQX4PID93uv6vdOnTyM+Ph5JSUk4cuQIfHx8MGDAAPz111+4efMmACA1\nNRX3799Hp06dEB8fj0uXLolyAGjRooVOm1V07doVp0+fBhHh0KFDeFgJU/kVBz+qLis0HzUXxcvH\nARI0f3BVN4GmrHVrICFBkGVmAubmwkSbFSuA1auFSTupqcIknyrEwoUL0b9/f9StW1ccAK2Ljh07\nYsaMGQgMDERycjIyMzNx7do1yb9zlfOpUaMGgoKCsHjxYqxbtw7r16/HqFGjkJ+fD09PT52z5mQy\nWbGOtWbNmhg+fDjat2+Pfv36YenSpZg7dy7Gjx+Pv//+G3Xq1MH27du16mrWrJlOPTs7O8ybNw9v\nv/02zM3NC31UPG3aNNy9exfm5ubw8/ND06ZNERMTI55jzJgxmDdvHhQKBby8vNCqVSs0aNAAaWlp\nWm1S7S9YsAADBgyAubk5vLy8RKdcks+BYZjXg/3eq/k9mUyGfv364cMPP0RqairmzJkDS0tLAMKE\nv6+++gp37tyBqakp1q5di+bNm2Pbtm347rvvcPPmTTRp0gR//PEH3nrrLWzfvh3t27fH999/L/kc\nASFwbNasGZydneHp6QmFQqH1eevar0y+s0qvVY2oKJTrGgBffw3Mn68tV02Vkb/s8B0yBPjvf4H8\nfMDkZSzfqBGQnCy8V32hkpOBxo2B998HHjwATp0Cxo8H1q1T1/v334ClJVCzpvZ5fXyAli3V+gBw\n86Zw7tmz1ecpAaqs9pVtFYX8/Hx88MEHsLCwwCoeDoCcnBxUq1YN1apVw549e/Df//4XO3fuLLP6\ndX1PKut3hxGoqtevMreb/Z4wq/ry5cuVZiyhIftO7nEsTzZt0i0/eBAYMEC9v2cPMHSotJfxyRNg\n40bggw/UssaNhddt2wDVP03NVCh5eUCzZkLv5+rVQqB45Qrg7i6Uq8a7aAaOnTsDGRnC4/SXg4ON\nmWrVqmHr1q36NsNguH//PoYNG4YXL16gY8eO+Prrr/VtEsMwZQz7PX4iUpbwGMfy5O+/dcs1g0YV\ne/YAv/2m3icCxo4FqlUr+hyawalq4sPt28CcOcL7zZu1j/nyS/X7jAzhNTtbLcvJAT75RBh/wxg1\n9vb2CA8PR2RkJEJCQuDk5KRvkxiGYcqc0aNHi4+WmdeDA8fKyqlTRZefP69+HxYG/Oc/6n3NiTcF\nIQLq1QN++EFIE8QwDMMwDPMSDhyNiXbttGX5+cIj6ELWGhX5v/8TXh8+VPc+aqZZuXwZmDwZOH26\nbGxlGIZhGKbSwYGjMXH3rrYsOFi3bmIioFSq91esKLrujh2BNWuAnj2FyTSlyAfIMAzDMIxxoPfJ\nMT/88APWrVuH+Ph41K9fH2+99RZGjx6NHj16iDrLly/Hhg0b8PjxY/To0QPr1q2TJAvNz8/HrFmz\nsHv3bjx//hxvvfUW1q5di9q1a+ujSZWDJk2AgIBXO9bXFwAQbWoqzvJiGF1ER0fD3t5e32ZUKP/8\n8w+++OILnDx5Eg8fPoS9vT02b94srkABlI1Py8rKwuTJk3Ho0CFUq1YNgwYNwvLly2FionbrKSkp\nGD9+PEJDQ1G/fn28//77+OqrryT2xsXFITAwEBcuXICtrS0mTpyIjz/+uBw/oUpKWhqik5PZ5zEV\ngiH7Tr33ODZr1gxLly5FeHg4fvnlF8jlcvj6+iIrKwsAsGbNGsycORODBw/G1q1bcevWLfTu3RtK\njd6yadOmYe3atZg4cSJWrVqF48eP47333tNXkyoPW7ZI91VpglTk5AD+/sCBA1qHDgdgb2YGREVJ\nNwBISgLi4tSyhAT1gZp6Kh48EGSaE3TS03Xr5uRI9RiDxt7eHsOHD9e3GRVGZmYmOnXqhLi4OMyf\nPx9RUVFYsWIFGjRoIOqUlU/z8/PDgQMHsGjRIkyfPh1bt25FYGCgRMfb2xvh4eH46aef4OfnhyVL\nlmDRokVieXZ2Nnr27ImkpCTs3r0bffr0wcSJE7Fjx45y+oQqL8P//hv2OTmFL/bAMGWIQfvOCloT\nu8Q8f/6catSoQXv27CGlUkl2dnY0e/ZssfzRo0ckk8lo3759RESUlpZGdevWpQ0bNog6586dI5lM\nRlevXi30PAqFghTqUIk3gKhGjdLpDx2qLSPSlvn5qT94lWzuXG3Zf/+rlu3bJ62TiCg/X1vGVDoU\nCgUpFAp9m1EuLFy4kGxsbAotLyufFhMTQ9WqVaNjx46JOjt37iQzMzN6/PgxERGdPHmSZDIZRUdH\nizpLliwhKysrys3NJSKizZs3k4mJCWVnZ4s6H3/8MXl4eBTaBmO+fkWi8j179+rbEqaKYij3nt57\nHDV5+vQpgoODUb16dfTq1QtJSUmIj4+HuyoPIYQll6ysrHD+5azhyMhIpKenS3Tc3Nwgl8tFHaaE\nlLYn77//1ZZ99plu3agoICREvT93buH1KpXAy8XuJfTqpVtftaqBUqle93vBAt32MUw5snfvXnh6\nemLMmDFo1aoVAgICcObMGbG8rHzahQsXoFQqJTru7u7IycnBlStXAABhYWGoU6cOWrduLdFJTk5G\nXFycqOPo6AgzMzOJTkREBHI0c8QyDMO8xCACx+vXr6N27dpo2LAhvvnmG1y6dAkNGzZEwstHnG5u\nbhJ9d3d3sSwhIQFyuRwuLi5iubm5ORwcHEQdpgLRtSrBP/8Azs7aYyovXgT69FHvjxkj/KcvbL1k\njR9gkVOnhNV29u4VkqKrxoB9/bUwFjMnRwggNYPiHj2ALl206zLEdb+ZSkVMTAz27t2LvLw8bN68\nGU2aNIGXlxdOv8xGUFY+LSEhAdbW1uKSaQDQpk0bmJubS3Q061CdR9OOhIQEnbYAMMo1dhmGeX30\nPjkGABwdHXHt2jXExMTg119/Ra9evfDnn38Wqk9ltEpiKgBFIWUTXm5MGaBK9VOQzp2l+8+eCSvd\n1K0rle/YAdSoIZUplcIyiaGhwv4PPwB//aV9jhUrhITn06YBS5cKMl0B6IoVwJQpwJ07gIODWp6T\nA5iaFt42plCCg4MRrGNWf0xMDCwsLPRgUfmTl5eHhg0bIuRl77qnpyeioqKwa9cuyYS/gpTEp72K\n3yvuGJlM9kr1pqamStbg1WTChAmYMIG9J8O8KobuOw0icKxevTpatWqFVq1aoV+/fjh9+jRCQkIw\nefJkAMC1a9fgoPFjHhERgTFjxgAAbG1toVQqcePGDXHW4vPnz3H37l3Y2toWeV4LoHzXqmZKj8bM\nUxE/P23ZkCFCL6OKI0d016daJefGDe2yP/4AvL2F96o1xUND1YHjkyfCmuGTJwtLOKr49lth8s8P\nPxTdlipOYQGEMc9Kbdq0KTw8PCSynj17YsOGDQAg+qRX8WnR0dHi8ba2tkhMTERqaqr4Q3Lnzh08\nf/5cohOiOTzk5Xk07bCxsRF7Qwvq2NjYFNpOCwsLva+XyzDGiqH7ToN4VK1Jfn4+cnJykJ6eDisr\nK9jZ2YmODAASExORnJyMLi8fNTo7O6N27doSnWvXrkGpVIo6jBGiGTQWRNej7vh4oUfx+nW1zMcH\nOHQISE4G5C9vBc0Zk7dvC6+ay1QtXgxMny6s933+vHrGuGrpxsJITZXuHz7MYzCNkO7du+Ps2bMS\n2ZkzZ9CvXz8AKDOf1rlzZ8jlcnE8IyAEfKampmLg2qVLF2RkZCAmJkaio7IBALp27Yo7d+7ghcY9\nExERAQ8PD5hyT7tueL1jpqqj16k5RDRjxgz6888/KTY2lg4dOkRjx44lU1NTOnv2LBERrVmzhmrU\nqEGzZs2igwcPkqOjIzk6OpJSqRTrmDJlCtWrV49WrFhBu3btIltbW+rXr1+R5+VZ1byJW+vWRJaW\n6v07d4hu3iSaMkUtU6Hr+JMnhVd/f6LffycaO5ZIqSTas4for7+IDh0SytesIYqOJlq7VrteFRrf\na2PFUGYGlgc3btwgMzMzCgwMpIsXL9LChQupZs2adOHCBVGnrHzakCFDyNramkJCQmjt2rVkYWFB\n48aNk+h07NiR7O3tad++fTR//nwyNzenRYsWieXZ2dnUtGlTat++PR05HKVQMQAAIABJREFUcoSC\ngoLIxMSEduzYUWgbjfn6FYnqnn05+51hKhpDufd0/HJVLGPGjKGWLVtSzZo1qWPHjvTll1/S+fPn\nJTrLli0jR0dHsrS0pIEDB1JiYqKkPD8/n6ZPn052dnZkZWVF/v7+lJ6eXuR5OXDkrVSbCl1lU6dq\ny54+Vb/39xdeu3UjqltXd71ERJs3C7KoKKm8JMHkixdE8+cTPXxYvK6eMRTnV1789ddf1L17d7Kw\nsCA/Pz8KDQ3V0ikLn5aVlUXjxo0jGxsbatasGQUFBVFeXp5EJyUlhXx9falRo0bk4OBACxYs0LIl\nLi6OfHx8qEGDBuTi4kLr168vsn3Gfv0KRXXPcuDI6AlDufdkRET67vXUB87OzkBUFI9xZErGN98A\nM2boLps2TRj3qMmTJ0DDhlJZt25AgceY+N//gLffFt63aAHcvy/U9cUXgiwzU5gpPnUq8N136uNm\nzhQelR8/LuyvXw+MHy/MLD958pWaWFGoxunwGLnKSZW9fqpH1Hv36k4XxjDljKHcewY3xpFhDJLC\ngkZAmChTkIJBIwBcuKAt698fiIwUxkiqxpmtXKkuf/BAeF22TC07dgxYsgQ4cUIte/pUeL1/v3A7\nVZw5Awwfrnu98VOnAAsLQGNcHAChr4Vhqgq//qq+9xiGkcCBI8O8Lr/+WjK9wvJEurgAdeoISzUC\nwKNHwkSe1avVk3YA4O+/hdnfLydaABB6LG/cUOsRAbGxwO7d0nM8fQoMGiQEqT16COXHjwszwzV1\nP/tM0H05CxiAkJJILgc+/VQtS08HwsO128JJo5nKTlwcMGwYoJFcXQJPjmGqOBw4MowhsmKFEKi1\nbauWNWsGzJkj1fvXvwBXV/WPWVwc0Lq10KOYnAxMnCiUWVgA+/YBQ4eqjyUCPvlE0C2IZu9oSorw\nqpmSqF8/IXWSZg/nzZuAmZn6kTr3UjKVkbQ04bVgJgSGYQBw4MgwxsHly9qySZOAgklkb91Svx85\nUv0+LU1Iqq4K9k6cUOva26v1wsOFJOmq5TwHD1aXnTolvH7zjZCcXS4XeiaPHhXqIxKCV6XylZrI\nMAzD6B+DSADOMMxr8ssv2rKCj6sL8uyZ+n29etrlY8cKYy+fP1fLCiZov3wZmDVLGlympgKLFgnv\no6OBt94S3u/ZIyRur1NH6D1lGEOEe8oZpkg4cGQYRje6lmbUxeLFwqtqdrgmmrNPhwwRXrOyXs8u\nhmEYRm/wo2qGYcqGQ4e0ZbpmphY2SYhhGIYxeDhwZBiGYRgVxc2a5lnVTBWHA0eGYRiGUcFjHBmm\nSDhwZBiGYZiSwoElU8XhwJFhGIZhGIYpERw4MgzDMAzDMCWCA0eGYRiGKSk8OYap4nDgyDAMw1RN\nzp4F1q7VtxUMU6ngBOAMwzBM1aR7d+H1k0/0awfDVCK4x5FhGIZhVPCsaYYpEqMKHLdv34527dqh\nQYMG6Nu3L27fvq1vkxiGqaJ88803kMvl+OyzzyTy5cuXw8nJCQ0bNsSgQYOQmJgoKc/Pz8eMGTPQ\nqlUrWFtbw9/fHxkZGRKdrKwsjBs3Dk2bNkWLFi0QFBSEvAIr8qSkpMDX1xeNGzdGmzZtsGDBAi0b\n4+Li4OPjAwsLC7i6umL9+vVl1HqGYYwVowkcDxw4gICAAHTp0gW//fYb0tPT0aNHD6SlpenbNIZh\nqhgXL17Ejz/+CDc3N8g0JlOsWbMGM2fOxODBg7F161bcunULvXv3hlKpFHWmTZuGtWvXYuLEiVi1\nahWOHz+O9957T1K/n58fDhw4gEWLFmH69OnYunUrAgMDJTre3t4IDw/HTz/9BD8/PyxZsgSLFi0S\ny7Ozs9GzZ08kJSVh9+7d6NOnDyZOnIgdO3aU06dSSeCVYximaMhI8PT0JD8/P3E/Pz+fatWqRatX\nr9apr1AoSCE8lOCNN94qcFMApFAoKso1VDjp6enUpk0bOn78OPXu3Zs+++wzIiJSKpVkZ2dHs2fP\nFnUfPXpEMpmM9u3bR0REaWlpVLduXdqwYYOoc+7cOZLJZHT16lUiIoqJiaFq1arRsWPHRJ2dO3eS\nmZkZPX78mIiITp48STKZjKKjo0WdJUuWkJWVFeXm5hIR0ebNm8nExISys7NFnY8//pg8PDyKbJ9C\noTCe66f6Xmpy5YpuuUq2f3/F2ccwGhjKvWc0PY4XLlyAu7u7uC+Xy+Hq6oqwsDA9WsUwTFVjwoQJ\nGDBgAN58800QkShPSkpCfHy8xE9ZW1vDysoK58+fBwBERkYiPT1douPm5ga5XC7qXLhwAUqlUqLj\n7u6OnJwcXLlyBQAQFhaGOnXqoHXr1hKd5ORkxMXFiTqOjo4wMzOT6ERERCAnJ6csP5LKhcY1YxhG\nG6MIHFNSUpCdnQ03NzeJ3N3dHQkJCXqyimGYqsauXbsQERGBJUuWAIDkMbXKFxXlpxISEiCXy+Hi\n4iKWm5ubw8HBQaJjbW0NS0tLUadNmzYwNzeX6GjWoTqPph0JCQk6bQGAhw8fvkrzGYapAhh1Oh4i\nkjhuhmGY8uLBgwcICgrCsWPHYGpqCkDwQVRMD1Zx5SXVKe0xMpnsleplGKZqYxQ9jpaWlqhRowau\nXbsmkUdERMDW1rbQ41IBKArZgsvNWoapGgRD970VDSA1NVWPlpUPly9fxuPHj9G+fXtUr14d1atX\nx59//onvv/8epqamaNKkCQAU6adsbW2hVCpx48YNsfz58+eIjo6W6CQmJko+wzt37uD58+cSHc06\nVOdRlQGAjY2NTltUZUWRmpoKhUKhcwsOZu/JMK9DcHCwznsrOjraIHyn0fQ4vvHGG6LTA4SUFtev\nX8eoUaMKPcYCQGQF2MYwVZEJL7eCOAOAhUXFGlMB9O3bVxKsERE++OADODk5Yfr06WjSpAns7OwQ\nERGBIUOGAAASExORnJyMLl26AACcnZ1Ru3ZtREREoEOHDgCEQFOpVIo6nTt3hlwux5UrV+Dl5QVA\nCPhMTU3h4eEBAOjSpQsyMjIQExMjjnOMiIiAlZUV7OzsAABdu3bFpk2b8OLFC3GcY0REBDw8PMQe\n08KwsLBAZGQV9Z78FIspZyZMmIAJE7S9p7Ozsx6s0cZoAscpU6bgvffeQ+3ateHr64uZM2fC3Nwc\nAQEB+jaNYZgqQO3ataFQKCQyc3NzWFhYiPLPPvsMX3zxBYgI3bp1w5QpU9C2bVsMGDAAAFCnTh18\n9NFHmDJlCtLS0mBjY4MpU6agb9++cHV1BQC0atUKgwYNgp+fH5YuXYrMzEzMnj0b/v7+aNiwIQCg\nd+/e6NChA3x8fLB8+XJcvXoV33zzDWbNmgUTE8HtjxgxArNnz0a3bt3wzTff4ODBg9i4cSNCQkIq\n6iNjGKYyoq/p3OXBtm3byM3NjerVq0deXl5069atQnU5HQ9vvOlnM/Z0PJpopuNRsWzZMnJ0dCRL\nS0saOHAgJSYmSsrz8/Np+vTpZGdnR1ZWVuTv70/p6ekSnaysLBo3bhzZ2NhQs2bNKCgoiPLy8iQ6\nKSkp5OvrS40aNSIHBwdasGCBln1xcXHk4+NDDRo0IBcXF1q/fn2xbTKUlCBlgup7qUl4uG65Snbg\nQMXZxzAaGMq9JyMi0nfwqg+cnZ2BqCh+VM0wFYwzACgUVfdRZyVH9bis0l0/Iu3HzKp9zZ/BK1eA\n9u215SrdAweAlz3EDFORGMq9ZxSTYxiGYRimUK5fB+RyYOdOfVvCMJUeDhwZhmEY4+a//xVeFy7U\nXV41H7wxzCvBgSPDMAzDqOAgkmGKhANHhmEYxrjhYJBhygwOHBmGYZiqAedgZJjXhgNHhmEYxrgp\nTY8jB5cMUyQcODIMwzCMiuKCTA4smSoOB44MwzAMwzBMieDAkWEYhqkaFNZbyJNnGKbEcODIMAzD\nMAzDlAgOHBmGYRjjpix7FLl3kqnicODIMEzpeeMNIDAQOHasaL2//lK/b9WqfG1imOLgiS0M89pw\n4MgwlZFPPwW++KLs623cGFAqgW+/VcuePQPu3gWystTBX8eOwNq1gJcXMHs24OQEXLwIJCcLx8fE\nACtWAN27q+u5dg3o2RNo0aLs7WaYioKDT6aKw4Ejw1Q2Ro4EVq6UBnfF8eABMHgwsHy5WmZvL7x+\n9ZVa9uOPwg+jZlBat66gW6MGcOIEMGIE8PXX6vIFC4CoKCGYbNRIOL5VK+Czz4T327YBBw8CtWoB\nf/4pvDKMocKPohmmSDhwZBh9cOpU6fTbt1e/t7XVrZOVBRw5ArRsKez/8Ye6rGlTYM8e4PPP1bLd\nu4XeQZVs2DBg4EB1+Z49wJIl0nO0aAHs3Cn0TJYUPz+gf/+S6zNMWcPBIMOUGSb6NoBhqiTNmwuB\n2bVrwLx5gszREVi/Hli1Cvj9d0GWmQnUrCm8r1sXyMgA5Dr+73XqJPQI9usHnDsHnD8PvPWW0EPY\nqFHhdshkQP36QFoaULu2tGzw4NdvJ8NUNNnZwmuNGtplJUnHw4+iGaZI9Nrj+O6776JFixYwNzdH\n165dMWfOHKSkpEh0UlJS4Ovri8aNG6NNmzZYsGCBVj1xcXHw8fGBhYUFXF1dsX79+opqAlNV+f77\n169j8GAh0FOxZg3Qqxfw229qmbm58EMmkwH/+pcg09XjePq0+r21tbrnsE8fwMVFqrtrlzC5xdlZ\nLatTh38wy4AlS5agU6dOqFevHjw8PDB37lzcu3dPS2/58uVwcnJCw4YNMWjQICQmJkrK8/PzMWPG\nDLRq1QrW1tbw9/dHRkaGRCcrKwvjxo1D06ZN0aJFCwQFBSEvL0+iUyX9p7m5+s8WwzBlD+mRlStX\n0vnz5ykuLo5+//13cnZ2psmTJ0t0OnToQK1ataK9e/fSvHnzqGbNmrRw4UKxPCsri2xtbcnd3Z2O\nHj1KkyZNIhMTE9q+fXuR51YoFKQQ/mfyxpt6q1tX/T4gQLu8c2eiiROFL1HBsu++U7//+Wf1++Bg\nbd2cHKGO9HSimjWJ1qyRfkFVepqkpgp1vXihlh05QhQeXqr7Tt8oFApSKBT6NqNc8PHxoZCQEIqK\niqLDhw+Tp6cn+fj4SHS+//57MjU1pZkzZ9LBgwepbdu21LZtW8rPzxd1Pv/8c6pTpw4tX76cdu7c\nSTY2NtS3b19JPYMHDyYrKyvasmULBQcHU/369Wns2LESnfLwnwZ//XTdOzNnCjI3N926eXlq2aVL\nuutQyQ4eLB+7GaYYDOXeQ/EqFcemTZuobt264v7JkydJJpNRdHS0KFuyZAlZWVlRbm4uERFt3ryZ\nTExMKDs7W9T5+OOPycPDo8hzceDIm84tKUn9/uFD4fXLL9WyU6fUXyKVzNVVCN7y8tSyW7eIZswg\n2rWLKCuLaPp0otOniRYskP5IFca9e0Q3bpTwzqlcGIrzqwgiIyNJJpPRrVu3iIhIqVSSnZ0dzZ49\nW9R59OgRyWQy2rdvHxERpaWlUd26dWnDhg2izrlz50gmk9HVq1eJiCgmJoaqVatGx44dE3V27txJ\nZmZm9PjxYyIqP/9p8NdPdQ9qwoEjYwQYyr1nMJNjbt++jW3btsHHx0eUhYWFoU6dOmjdurUoc3d3\nR3JyMuLi4kQdR0dHmJmZSXQiIiKQk5NTcQ1gKg/XrmnLevQQJopoTvpo0gTIzwcWLxZe4+IAT091\n+dOnQgqaM2cADw+gWjV1WfXqwsSS4cOFsVbffCOkppk9W6pXGM2bSx8lM5USpVIpeU1KSkJ8fDzc\n3d1FHWtra1hZWeH8+fMAgMjISKSnp0t03NzcIJfLRZ0LFy5AqVRKdNzd3ZGTk4MrV64AYP8pgUjf\nFjCM0aD3wHH69OmoVasWnJycULduXfz8889iWUJCAlwKjM9SOcqEhATx1c3NTafOw4cPy9N0Rl90\n6VJ0+csfRQDA1KnCa926alnz5sDRo+pJKQCwaZPuMX6qiShyuXq2sor69YUUNHXqqGUXLgBz5nCy\nawZKpRJBQUHw9vaGk5MTALXf0uWzNH2aXC6X+D5zc3M4ODhIdKytrWFpaSnqtGnTBubm5hId9p8F\nKItxvC//BDBMVaXMA8e5c+dCLpcXuV3T6PGZNm0awsPDsXHjRjx48ABDhgyR1EfF/FOUyWTF6jCV\nkIITOgDg3/8G1q0Dzp7VLps3D7h5E9i+XR3gOTqqy9u0EcoGDRKCyL59gQ8+EMo+/xxwcCgbuzt1\nAubOLZu6mEoLESEwMBCxsbHYsGFDifTLQqe0x1QZ/1mWbawKnxfDFEGZp+MJCgqCv79/kTrNmjUT\n31taWsLS0hJt27aFk5MTunXrhujoaNjb28PW1hYhISGSYyMiIgAAti9nltrY2OC05oxSDR0bG5si\n7UgFoCikbMLLjakA+vUTElpv3y480gWEx8n/+5+w+siJE4LszTeBMWOkxyYmCr2Hvr6AmZk6WHz8\nWAgQ9+wR9vv0AUaNEjYVzZoJ6W7MzaV1njkjyJnXIjg4GMHBwVrymJgYWFhY6MGiimPSpEk4dOgQ\nQkNDRV8FqP3WtWvX4KDxZyUiIgJjXn63bW1toVQqcePGDXTo0AEA8Pz5c0RHR4vH29raIjExEamp\nqeJneefOHTx//lyiU17+MzU1FQqFbu85YcIETJhQQd4zPV3a418cJUnHUxwcODLljMH7Tj2Or9Ti\n1KlTJJPJ6PLly0RU+OBua2trcXD3li1bqHr16lqDu9u3b1/kuXhyjJ62zp2FVz8/tax/f/WFKTgo\n/cQJYd/GhigzUy338SFavrz4L5VSSXTunHoWM6N3DGWAd3kxYcIEatq0qcRvqVAqldSqVSudk2P2\n799PRMLkmDp16uicHHPt2jUier3JMa/rPw3m+q1eLfiG0FCpXNfElhkzBFm7drp1X34eRFT85JiX\nk5gYpqIxlHtPb4Hj+fPnac2aNXTlyhW6ffs2bd68mdq1a0fu7u6UpzHDrWPHjmRvb0/79u2j+fPn\nk7m5OS1atEgsz87OpqZNm1L79u3pyJEjFBQURCYmJrRjx44iz8+Bo542pVLYtmxRy86eVV8YXQ5b\nqSyT7xxjGBiK8ysPAgMDqX79+hQaGkqPHj0St6ysLFFnzZo1VKNGDZo1axYdPHiQHB0dydHRkZQa\n3/MpU6ZQvXr1aMWKFbRr1y6ytbWlfv36Sc41ZMgQsra2ppCQEFq7di1ZWFjQuHHjJDrl4T8N5vq5\nuAi+YtYsqZwDR8ZIMZR7T2+B4/Xr1+nNN98kS0tLqlevHr377ru0Zs0aSk5OluilpKSQr68vNWrU\niBwcHGjBggVadcXFxZGPjw81aNCAXFxcaP369cWenwPHMtxmzVK/X7pU/T46Wu3cCzrirVuF/Vq1\npBfm4UOihIRX+k4xlQNDcX7lgUwmI7lcTjKZTLKFhIRI9JYtW0aOjo5kaWlJAwcOpMTEREl5fn4+\nTZ8+nezs7MjKyor8/f0pPT1dopOVlUXjxo0jGxsbatasGQUFBUn+dBOVj/80mOvn6ir4kJkzpfKi\nAkd3d926pQkc9+4tuzYwTCkwlHtPRkSk78fl+sDZ2RmIikKkvg3RN//+N7B8uZB6RsX8+cL4v1Wr\ngKtXBVnr1sDz58ChQ4AqBUi7dsLYwXnzgHr1BFlamnoGs+qrde4c8NlnwBdfAKrJT1lZwrm//BLo\n3Ln828kYDM4v0wxFRlb5u69SYjDXr107YSz0zJnAokVquWoco+ZP24wZwNKlgu96ma5IopubC5i8\nHPJ/+bKQLaFgHSrdvXula7ozTAVhKPcer1VtrLi4ADduSGU7dgjOLylJCOQAIc2MtbVU76uvhNeu\nXdWTTZYuFYK+3Fy13rlz6qW9Ll0SHHKdOsJEl65d1XpduwJhYdJz1KypXo+ZYRimtOgKEEt6TFEU\nV1/V7GthGBEOHI2VNm20A8d//1t4Xb26ZHW0bastq15dmHVsZyddD7ZDB2EDgE8/Lb29DMMwpaE0\ngWNZBnscODJVHL0nAGdek1fJGaix2gS8vYXX0NCSH9+tm/TRNsMwTEXzKj2OhVGaOjhwZKo4HDga\nGpqrmZQUXcmrixqD4+kJREUB9+8Dfn6CrFcv3bonTwr5E99+u/R2MQzDlBelCRyLe0StuRpMWawu\nwzBGDAeOhsbXXwuOsMAyYACA2Fjdx9y4AaSkCGMXAcDUFPD3F5Jjqxg7VnqMk5MwAUaTnTu1xx32\n7g0cP66dJJthGKayUFxwqRk48hhHhikSDhz1Sbduwozm4pg0CfjpJyEgVKEZ9JmaAhYWQOPGQuB3\n544gt7IC1q4FbGyANWuKP8+IEcKSfAzDMIZOWU6Oyc8veR0cODJVHA4cK4qEBCAmBpg1Sy1r315Y\nJ/nmTW19zTW7p04VegxVSw0NHAgMGCC8d3KSHjdoENCihXo/MFA4d40aZdMOhmEYQ6AsJ8do9ji+\nbl0MY+RU7VnVtrZCUFXW1KsHPHsmlanWfa1WTaoHqFPeaPLVV8D77wvpbRo2FGQ1awIZGcJj4xcv\ngGHDhPGKDMMwVY2ynByj2ePIYxwZpkiqdo+jKnAra1RpaYpj+vTCy2QyIeWNKmhUUauWUFajhjD+\nkJ0cwzBVkdIEjnJ50bqlmRzDPY5MFadqB46vS6tW6vfh4aU7VqEQehMZhmGY8kUVOBY2lrE0PY4c\nODJVHA4cX4fJk3XLVYm2GYZhmPKhND2OqiFChQWOpelx1BxuxDBVEA4cC3Lxono8oiY//1zyOsaM\nAf75B3i5riTDMAxTxrxK4FjYJBjNgLK4iTLVqxd/PoYxYqr25JiC+PsLi9ubaHwsixcLj5Xt7bX1\n27cXcic+fape7/mTT4TXevWE9ZnbtgWePJEeAwA+PtK6bt3iXIkMwzAl5VXGOJakx7G4wNGEfzaZ\nqg3fAZqEhAivv/+unuDi4wN4eKhzIwLAo0dAZibQurWw37ix8JqTI/03Wrs28PffUsf27rvCeEgX\nF+m5da0LzTAMwwC3bwt+tkEDtawsA0dNeWlyOjJMFYQfVZ86pS1T9Qpq4uAAfPklcP680LuoCho1\n0fUIQyZTOy3VvocHP+5gGIYpKY6O2j63LBOAa/YyFhc4libnI8MYIVU6cExNTS15HkSZTHhs3blz\n+RpVhgQHB+vbhHKF21d5SU1N1bcJzGtQoddPFRg+fapbXpqUZCUJHJVKFHnnGcGsamP2LcbcNsAw\nfCcHjsVRicezGPsNxO2rvBiC82NenQq9foX1AKoCOHkpfsZKsuRgfn7RgWNubsnPZ6AYs28x5rYB\nhuE79R44njlzBl5eXrC0tISFhQXee+89SXlKSgp8fX3RuHFjtGnTBgsWLNCqIy4uDj4+PrCwsICr\nqyvWr1//+oZdvCgk6C44FpFhGMbI2L59O9q1a4cGDRqgb9++uH37tr5NUlPYo2GVvCQ9jllZwquZ\nWfHnyMgouq6Cq4IxTBVDr4HjwYMH8c4776BNmzb43//+h7Nnz2LUqFESHW9vb4SHh+Onn36Cn58f\nlixZgkWLFonl2dnZ6NmzJ5KSkrB792706dMHEydOxI4dO0pnTMHUOR07At98wyuzMAxj1Bw4cAAB\nAQHo0qULfvvtN6Snp6NHjx5IS0vTt2kCxc2ELomPVvXSaE6u0SQvT1u3uLoYpoqit+ew+fn5mDp1\nKsaPH4/FixeLckeNdZtPnTqF8PBw3L17F61bt8bAgQNhamqKVatWYfr06TAxMcGuXbuQlJSEmJgY\nmJmZoW/fvsjJycHy5cu1gtBCyc7mySoMw1RJli9fjpEjR4pPas6dO4e6detiy5YtmFzYIgflxdWr\nwP/9HzBzpjogLCxwzM4WXjV7C3NydOuqgmDN1bo0xyomJACursL769fV8uho7VRsSUlFt4GpnCiV\nwP37QMuW+rbE4NFbj+OtW7dw+/ZtWFpaonfv3nBycsLixYvx6NEjUScsLAx16tRBa43ZdO7u7khO\nTkZcXJyo4+joCDONRxDu7u6IiIhATmFOpCBmZqUbJ8MwDGMkXLhwAe7u7uK+XC6Hq6srwsLCSlZB\nXp46iMvJAe7eLVqfCAgNFY4LDRXSm6lwdwdmzxYCSKVS2F68UJdrBomqAG/VKiE9WlYWcOiQujw3\nF3jwALhwQb2Aw8GD6no0g8i33xbqyMsDvvtOLXdwEI5XpWcDgGXLhLRqU6cKAWdWFhAZKdh55446\ndVvByTwqmzIzgT//VH8WqjatXCmkgjtyRNqr+ej/27v/mKjrPw7gz8+HRgoaCFd3cmrAQjj9QmIk\n+k+s0EGY09VqbjUkEyctdi1cP0yTyHIr6RdJcxrExOH6o0QjbYlCP1ZuGYcouOCaYBdoQSI3ToG7\n1/ePD3y4j9zBVRz3Oe712G4cn3vd596vz5vPi/fdfT6fd6fUhqEhaftevixt78ZG6acn/+cGB4G+\nPuDq1bGP2Wyj7QGkwfL588BHHwFnzwLNzdJzv/tO+ulwSF/nOx/refDg6LYlkh4bGJDa3N8PtLSM\nxhIB7e1SXhOdaOTJGez79gEmk3LZV19J625qUq7j8mWp77q7R7fLL79I+W7bBsTEAB9/LOU58jcN\nSH3Z1DT6PFcGB0e37++/S+s5e1Z603L0qLS8pQXo6pLu2+3K/G026XeTSbrZ7dLrNjZK21BFfPaJ\no9lsBgC8//77eP7555GYmIg9e/agvLwcrcOFx2Kx4H+3HGM4UuAsFgvi4uJgsViQlJTkMuaPP/5A\ntJt3Dx0dHRgcHMTiaTy7i9ls5vz82HTNz2w2Y3AanGAwHXR3d+PGjRsua2hzc7PL53R0dGBwYACL\nvXkYT3Ky6+XupvubNWvssuBg17Hu2u20DjMAec9LTR0be+yY9LO42PW6VM4MeLf/fMgMYPHq1eMH\naTTuH3v22dGJPFTGDGBQBf026QPHwsJCFBUVjRtjMpkwNHxMyYYNG1BQUAAAWLp0KXQ6HX7++Wek\npKQAAGiCdySCIEwY40poaChu3LiBtrY2l49HREQgIiLiH69XTfyU1f9TAAAJrElEQVS9/RPh/NSt\np6fH5RmAQ0NDCHb3T52pAhFBcPMPSq6dbr6lmRa1s6cH8PMcxjOd85sOuY1bO1VwWN2kDxyNRiOy\ns7PHjZk/fz5sw2e5pTldR1Gj0cBgMKC2thYpKSnQ6/WoGJnNZZhp+CNpvV4PAIiKisL333/vMibK\n1ZzTw7pGPi5mjLEAFRkZiRkzZuDcuXNYtWqVvNxkMikOEXLGtZOxwDbpA8c5c+Zgjrsz15wsXrwY\nYWFh+OGHH+SC1dPTg4sXL2LlypUAgOXLl8NqtcJsNstFzGQyQavVIiYmBgCwYsUKlJWV4ebNm/Jx\njiaTCcnJyfypBmOMTSA1NVV+sw1IJy42NTV5fnIhYyygBBUWFhb64oWDg4NhtVqxf/9+zJ49Gzdv\n3sSLL74IURSxa9cuAEB0dDS+/PJLHDhwANHR0fjss8/w1ltvYevWrfInlQaDAWVlZTh8+DBiY2NR\nUlKCffv24e2330biyFlyjDHGXNJoNNixYwc6OzsREhKCJ598ElarFeXl5YqTDhljDAAE+jcHCE6i\noqIiHDp0CAMDA9i4cSOeeeYZxVfMPT092LJlC+rq6hAeHo7s7Gxs375dsY5Lly4hLy8PZ86cgV6v\nR35+PjZv3jzVqTDGmF+qrKzEO++8g/b2dqSkpGDv3r2Ij4/3dbMYYyrk84EjY4wxxhjzD3zxQsYY\nY4wx5pGAHDiqel7WYbt378b999+PsLAwJCcno7CwEO3t7YqYnJwciKKouGVlZSli7HY7Xn75ZcTG\nxkKn0yE7OxvWW+ZitdlsyM3Nxbx583D33XfDaDTKl0vylsLCwjFtX7RokSKmuLgYBoMBGo0G69at\nG3M2p1pzi46OHpObKIrIz88H4H/99u2332LNmjXQ6/UQRRHV1dVjYqaqrzyZu555D9dO39aX6Vw3\nAa6dflM7KcAcPXqUgoKCaPPmzXTq1ClatmwZaTQa6u3t9XXTFDIzM6miooKam5vpxIkTlJaWRpmZ\nmYqYnJwcysrKoitXrsi3a9euKWJeeOEFmj17NhUXF1NVVRVFRUXRypUrFTGPPvooabVa+vTTT2nv\n3r0UHh5OmzZt8mp+O3fupMTEREXbu7u75cc//PBDCg4Opm3btlFNTQ3Fx8dTfHw82e121ef2119/\nKfI6efIkCYJA9fX1ROR//Xb8+HHasWMHffHFFyQIAlVXVysen8q+uu+++yg2NpaOHDlCr7/+Os2c\nOZN27do16Tmzsbh2+r6+TOe6ScS1019qZ8ANHNPS0uipp56Sf7fb7RQaGkoffPCBD1s1sQsXLpAg\nCHTx4kV52YYNG2jdunVun3P9+nW644476MCBA/KyH3/8kQRBoMbGRiIiMpvNFBQURCdPnpRjqqqq\n6Pbbb6c///zTC5lIdu7cSUuWLHH5mMPhoJiYGNq+fbu8rLOzU7HjqTm3WxmNRoqLi5N/9+d+u7X4\nTWVfnT59mgRBoLa2Njlm9+7dpNVqaXBw0DsJMxnXTt/vg4FUN4m4dqq1dgbcV9X/eV5WH3EMz7fp\ncJp3UxAE1NXVQavVIisrC1VVVfKF1QHgwoUL6OvrU+SblJQEURRx5swZANL2cDgcipglS5ZgYGAA\nDQ0NXs2ptbUVer0eDzzwAPbv34/e3l4AwJUrV3Dp0iVFm3Q6HbRardxutec2YmBgAJWVldi4caO8\nzN/7zdlU9pUnc9cz7+HaqY59MBDqJsC1E1Bv7QyogeN487JaLBYftWpiDocDRqMRGRkZMBgM8vKH\nH34YVVVV+Oabb/Dggw/itddeU+xkFosFoigq5vsOCQmR5/geidHpdIiMjJRjFi5ciJCQEK9ukxUr\nVqCyshInTpzA+vXrUVpaiszMTLlNAMbtJzXn5uzIkSPo7e1FTk6OvMyf++1WU9lXE81dz7yHa6c6\n9sFAqZsA186RGDXWzkmfOcYf0TjzsvoaESEvLw+//fbbmKkVn3jiCfl+UlIS7r33XqxduxbXrl1D\neHj4uOv0tYyMDPl+YmIi0tPTYTAY0NLS4vY5nrRbDbk5++STT5CVlQWdTicv8+d+85S3+sqftkEg\n4No5tQKlbgJcO/9rzGQ8x52A+sTReV5WZyaTSZ77Wm3y8/Nx/PhxnDp1asI2pqenQxRF1NTUAJDm\n83Y4HDh//rwc09/fj7a2Nnlder0eXV1dignVf/31V/T390/pNomPj8fChQvx+eefY968eQAwbj/5\nQ27t7e2ora3Fpk2bxo3z534bea2p6Cu9Xq9Yx8jrOLeDeQfXTnXug9OxbgJcO9VeOwNq4Ai4n5d1\n+fLlPmyVa8899xyqq6tx+vRpeW7u8dTV1cFms2Hu3LkApPnAZ82apcj33LlzcDgccr7Lli2DKIqK\nYztMJhOCg4ORnJw8yRm519bWhtbWVsydO1eei9y53V1dXbh69arcbn/Irby8HFqtFqtXrx43zp/7\nbSr7ynnueucY57nrmfdw7VTfPjgd6ybAtVP1tfMfn07j544dO0a33XYbbdmyhWprayk1NZU0Gg1d\nv37d101TyMvLo/DwcKqvr6fOzk75ZrPZiIjIarXS1q1b6aeffqLW1lYqLS2lRYsW0dKlS2loaEhe\nT0FBAYWFhdG7775Lhw8fJr1eT6tWrVK81mOPPUY6nY4qKiqotLSUIiIiKDc316v5FRQUUH19PZnN\nZqqoqKDU1FRasGCBfGmPkpISmjFjBr366qtUU1NDCQkJlJCQQA6HQ/W5EUlnnC5YsIBeeeUVxXJ/\n7Der1UoNDQ3U0NBAgiDQe++9Rw0NDdTR0UFEU9tXKSkpdM8991B1dTUVFRVRSEgIvfnmm5OeMxuL\na6fv68t0r5tEXDv9oXYG3MCRiOjgwYOUlJREYWFhlJ6errhMg1oIgkCiKJIgCIpbRUUFERHZbDbK\nyMigu+66i0JDQ+mRRx6hsrIy+vvvvxXrsdvt9NJLL1FMTAxptVrKzs6mvr4+RYzNZqPc3FyKioqi\n+fPnk9FoVOyI3rB+/XqKioqimTNn0kMPPUQlJSXU2dmpiNmzZw8lJCRQZGQkrV27lrq6uvwiNyKi\nr7/+mkRRpNbW1jHt8bd+G7mUw61/k08//bQcM1V91d3dTY8//jjdeeedFBcXR2+88cak58vc49rp\n2/oy3esmEddOf6idPFc1Y4wxxhjzSMAd48gYY4wxxv4dHjgyxhhjjDGP8MCRMcYYY4x5hAeOjDHG\nGGPMIzxwZIwxxhhjHuGBI2OMMcYY8wgPHBljjDHGmEd44MgYY4wxxjzCA0fGGGOMMeYRHjgyxhhj\njDGP8MCRMcYYY4x55P+llni60xzdtAAAAABJRU5ErkJggg==\n"
}
],
"prompt_number": 3
},
{
"cell_type": "markdown",
"source": "Remark\n------\n\nIf you want to have a look the code used here, change the definition of prgm and execute the cell."
},
{
"cell_type": "code",
"collapsed": true,
"input": "prgm = \"rQRd.py\" # \"rQRd.py\" \"urQRd.py\" \"Cadzow.py\"\n\n# depending on your version of IPython, one of the two following line might be used, choose your own\nimport IPython.core.display as disp # see remark above\n#import IPython.display as disp # see remark above\n#\nfrom pygments import highlight\nfrom pygments.lexers import PythonLexer\nfrom pygments.formatters import HtmlFormatter\nformatter = HtmlFormatter(noclasses=True)\ncss = formatter.get_style_defs('.highlight')\ncode = ''.join(list(open(\"Algorithms/\"+prgm)))\ndisp.HTML(highlight(code, PythonLexer(), formatter))",
"language": "python",
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": true,
"input": "",
"language": "python",
"outputs": []
}
]
}
]
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment