diff --git a/Images/cython_final_leastsqr.png b/Images/cython_final_leastsqr.png
index 9ae7432..036c507 100644
Binary files a/Images/cython_final_leastsqr.png and b/Images/cython_final_leastsqr.png differ
diff --git a/benchmarks/cython_least_squares.ipynb b/benchmarks/cython_least_squares.ipynb
index f1c57d5..59ab236 100644
--- a/benchmarks/cython_least_squares.ipynb
+++ b/benchmarks/cython_least_squares.ipynb
@@ -1,7 +1,7 @@
{
"metadata": {
"name": "",
- "signature": "sha256:bbbdc8e390979922204161079c12c6b2020e8457991ef30ddd3766fb3c4503e6"
+ "signature": "sha256:12829b0c696b932be7039bcfd54490f1918f4155c72cd73b7fcfe1b46387decb"
},
"nbformat": 3,
"nbformat_minor": 0,
@@ -2182,7 +2182,8 @@
"source": [
"
\n",
"As we can see in the first plot, the list comprehensions lead to a slightly increased performance in regular Python code. \n",
- "But the second plot is quite interesting: List comprehensions in Cython are significantly slower than the regular for-loop structures.\n",
+ "But the second plot is quite interesting: List comprehensions in Cython are significantly slower than the regular for-loop structures. \n",
+ "Apparently, Cython has no difficulties turning the explicit for-loop into for-loop in C with basic float arithmetic. However, the list comprehension version is constantly writing to memory while it is iterating and appending new values.\n",
"
"
]
},
@@ -2314,6 +2315,7 @@
" x_avg = sum(x)/len(x)\n",
" y_avg = sum(y)/len(y)\n",
" var_x = 0\n",
+ " cov_xy = 0\n",
" for x_i, y_i in zip(x,y):\n",
" temp = (x_i - x_avg)\n",
" var_x += temp**2\n",
@@ -2405,7 +2407,7 @@
"language": "python",
"metadata": {},
"outputs": [],
- "prompt_number": 26
+ "prompt_number": 7
},
{
"cell_type": "code",
@@ -2415,7 +2417,8 @@
],
"language": "python",
"metadata": {},
- "outputs": []
+ "outputs": [],
+ "prompt_number": 9
},
{
"cell_type": "code",
@@ -2434,7 +2437,7 @@
"for lb in labels:\n",
" plt.plot(orders_n, times_n[lb[0]], alpha=0.5, label=lb[1], marker='o', lw=3)\n",
"plt.xlabel('sample size n')\n",
- "plt.ylabel('performance gain relative to the slowest approach')\n",
+ "plt.ylabel('time per computation in milliseconds [ms]')\n",
"plt.xlim([1,max(orders_n) + max(orders_n) * 10])\n",
"plt.legend(loc=2)\n",
"plt.grid()\n",
@@ -2449,13 +2452,13 @@
{
"metadata": {},
"output_type": "display_data",
- "png": 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pHj16VNdqMBgMxltLdYdW66xHThn4+/vDzc2tzJLfx48fs/lzDIYSYcfyMBgM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HAAAg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\n",
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p06e1rQaDwWC8t1R1aLXWeuQUga+vL1xcXEot+c3IyGDz5xgMBcKO5WEwGAzZ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9AAAg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\nRU5ErkJggg==\n",
"text": [
- ""
+ ""
]
}
],
- "prompt_number": 70
+ "prompt_number": 10
},
{
"cell_type": "markdown",
diff --git a/benchmarks/palindrome_timeit.ipynb b/benchmarks/palindrome_timeit.ipynb
index f1df349..afe4a0a 100644
--- a/benchmarks/palindrome_timeit.ipynb
+++ b/benchmarks/palindrome_timeit.ipynb
@@ -1,7 +1,7 @@
{
"metadata": {
"name": "",
- "signature": "sha256:3d878b64b4503fd987496df562af53903ad85d4cce103ea0a2e6c456519c03c7"
+ "signature": "sha256:ab859015961b19530bb3c16fe1edf4e7f9baca715bdf8187c724e8c0c4cfc8ad"
},
"nbformat": 3,
"nbformat_minor": 0,
@@ -13,7 +13,7 @@
"metadata": {},
"source": [
"[Sebastian Raschka](http://sebastianraschka.com) \n",
- "last updated: 05/03/2014\n",
+ "last updated: 05/06/2014\n",
"\n",
"- [Link to this IPython Notebook on GitHub](https://github.com/rasbt/python_reference/blob/master/benchmarks/palindrome_timeit.ipynb) \n",
"- [Link to the GitHub repository](https://github.com/rasbt/python_reference) \n",
@@ -39,11 +39,9 @@
"\n",
"# All functions return True if an input string is a palindrome. Else returns False.\n",
"\n",
- "\n",
- "\n",
- "####\n",
+ "#############################################################\n",
"#### case-insensitive ignoring punctuation characters\n",
- "####\n",
+ "############################################################\n",
"\n",
"def palindrome_short(my_str):\n",
" stripped_str = \"\".join(l.lower() for l in my_str if l.isalpha())\n",
@@ -68,9 +66,9 @@
"\n",
"\n",
"\n",
- "####\n",
+ "############################################################\n",
"#### functions considering all characters (case-sensitive)\n",
- "####\n",
+ "############################################################\n",
"\n",
"def palindrome_reverse1(my_str):\n",
" return my_str == my_str[::-1]\n",
@@ -83,15 +81,12 @@
" return True\n",
" if my_str[0] != my_str[-1]:\n",
" return False\n",
- " return palindrome(my_str[1:-1])\n",
- "\n",
- "\n",
- "\n"
+ " return palindrome(my_str[1:-1])"
],
"language": "python",
"metadata": {},
"outputs": [],
- "prompt_number": 10
+ "prompt_number": 1
},
{
"cell_type": "code",
@@ -119,7 +114,7 @@
"stream": "stdout",
"text": [
"case-insensitive functions ignoring punctuation characters\n",
- "100000 loops, best of 3: 15.3 \u00b5s per loop"
+ "10000 loops, best of 3: 15.5 \u00b5s per loop"
]
},
{
@@ -127,7 +122,7 @@
"stream": "stdout",
"text": [
"\n",
- "100000 loops, best of 3: 19.9 \u00b5s per loop"
+ "10000 loops, best of 3: 19.5 \u00b5s per loop"
]
},
{
@@ -135,7 +130,7 @@
"stream": "stdout",
"text": [
"\n",
- "100000 loops, best of 3: 13.5 \u00b5s per loop"
+ "100000 loops, best of 3: 11.7 \u00b5s per loop"
]
},
{
@@ -143,7 +138,7 @@
"stream": "stdout",
"text": [
"\n",
- "100000 loops, best of 3: 8.58 \u00b5s per loop"
+ "100000 loops, best of 3: 8.24 \u00b5s per loop"
]
},
{
@@ -151,7 +146,7 @@
"stream": "stdout",
"text": [
"\n",
- "100000 loops, best of 3: 9.42 \u00b5s per loop"
+ "100000 loops, best of 3: 9.38 \u00b5s per loop"
]
},
{
@@ -162,7 +157,7 @@
"\n",
"\n",
"functions considering all characters (case-sensitive)\n",
- "1000000 loops, best of 3: 508 ns per loop"
+ "1000000 loops, best of 3: 507 ns per loop"
]
},
{
@@ -178,7 +173,7 @@
"stream": "stdout",
"text": [
"\n",
- "1000000 loops, best of 3: 480 ns per loop"
+ "1000000 loops, best of 3: 581 ns per loop"
]
},
{
@@ -189,7 +184,120 @@
]
}
],
- "prompt_number": 11
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import timeit\n",
+ "\n",
+ "funcs_s = ['palindrome_short', 'palindrome_regex', 'palindrome_stringlib', \n",
+ " 'palindrome_stringlib2', 'palindrome_isalpha'] \n",
+ "\n",
+ "funcs_ins = ['palindrome_reverse1', 'palindrome_reverse2', 'palindrome_recurs']\n",
+ "\n",
+ "times_s, times_ins = [], []\n",
+ "\n",
+ "for f in funcs_s:\n",
+ " times_s.append(min(timeit.Timer('%s(test_str)' %f, \n",
+ " 'from __main__ import %s, test_str' %f)\n",
+ " .repeat(repeat=3, number=1000)))\n",
+ " \n",
+ "for f in funcs_ins:\n",
+ " times_ins.append(min(timeit.Timer('%s(test_str)' %f, \n",
+ " 'from __main__ import %s, test_str' %f)\n",
+ " .repeat(repeat=3, number=1000)))"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [],
+ "prompt_number": 13
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "%pylab inline"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [],
+ "prompt_number": 8
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import matplotlib.pyplot as plt\n",
+ "\n",
+ "labels = [('cy_lstsqr', 'Cython implementation'), \n",
+ " ('lin_lstsqr_mat', 'numpy matrix equation'),\n",
+ " ('numpy_lstsqr', 'numpy.linalg.lstsq()'), \n",
+ " ('scipy_lstsqr', 'scipy.stats.linregress()')] \n",
+ "\n",
+ "matplotlib.rcParams.update({'font.size': 12})\n",
+ "\n",
+ "fig = plt.figure(figsize=(10,8))\n",
+ "for f in funcs_s:\n",
+ " plt.plot(orders_n, times_n[lb[0]], alpha=0.5, label=lb[1], marker='o', lw=3)\n",
+ "plt.xlabel('sample size n')\n",
+ "plt.ylabel('time per computation in milliseconds [ms]')\n",
+ "plt.xlim([1,max(orders_n) + max(orders_n) * 10])\n",
+ "plt.legend(loc=2)\n",
+ "plt.grid()\n",
+ "plt.xscale('log')\n",
+ "plt.yscale('log')\n",
+ "plt.title('Performance of least square fit implementations for different sample sizes')\n",
+ "plt.show()"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": []
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import matplotlib.pyplot as plt\n",
+ "\n",
+ "x_pos = np.arange(len(times_s))\n",
+ "plt.bar(x_pos, times_s, align='center', alpha=0.5, color=\"green\")\n",
+ "plt.xticks(x_pos, funcs_s, rotation=90)\n",
+ "plt.ylabel('time per computation in ms')\n",
+ "plt.title('Performance of different case-sensitive palindrome functions')\n",
+ "plt.grid()\n",
+ "plt.show()\n",
+ "\n",
+ "x_pos = np.arange(len(times_ins))\n",
+ "plt.bar(x_pos, times_ins, align='center', alpha=0.5, color=\"blue\")\n",
+ "plt.xticks(x_pos, funcs_ins, rotation=90)\n",
+ "plt.ylabel('time per computation in ms')\n",
+ "plt.title('Performance of different case-insensitive palindrome functions')\n",
+ "plt.grid()\n",
+ "plt.show()"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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ORFpamnC9XC5HcHCwymy03Nxc2NvbAwBWrlyJ06dPY+vWrVUTawAf6oyNi0Ve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\nt27dwunTpyGTydC9e3eu/uDNzMyqXGZ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+ "text": [
+ ""
+ ]
+ },
+ {
+ "metadata": {},
+ "output_type": "display_data",
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Kly5dMuiYDNFQHcnLy4Ovr2+TxpvPnz+vc/xOTk5wd3fXOQe3/t1du3YNAPDaa69BCIEB\nAwbgjjvuQEJCQqOfZXfb0VmArl27YurUqdiwYUOD69QkjYZ4enoiNzdXGbQ/d+6czi2at26vb3+1\nlZWV4aGHHsJ//vMfjB07Fra2tnjwwQcNGlj28PBA69atkZ2djV69eum8Z8hx1/D09EReXh6EEErs\nZ8+eNfg24C5duuDcuXM656epunbtiiFDhiA1NbXBdWqf365du8LPzw8nT57Uu25T3vfx8UF2dnad\n1/WVm7OzM1avXo3Vq1fj2LFj+Nvf/oY777xTb7w1F8Mat3Obs52dHZYuXYqlS5fi7NmziIyMRGBg\nICIjI9GqVSv8/vvvTbrIjBgxAiNGjEBZWRleeOEFTJ8+XXk04HY8/PDDePbZZ1FQUIDPPvsMGRkZ\nAKrP8e3Gl5eXp/x/VVUV8vPz4enpibNnz2LGjBn4+uuvER4eDpVKhT59+vzlGzU8PT2RlJSkLAsh\ndGIAdP+WPDw8YG9vX+e6cWuCM4SHhwccHR2RlZWFLl263Pb2Tk5OuHHjhrKs1WobTfy1+fj44Ny5\nc9BqtbC1tdV5z9DrZo3r16/j999/h5eXl97P7dSpk3Lt2r9/P+69914MGTIE3bp1q3d9i245NWTK\nlCnYtWsXUlNTodVqcfPmTaSnp+tk71v/cG9dnjRpEl555RVcunQJly5dwksvvYSpU6c2+Jm3UxHK\ny8tRXl4ODw8P2NjY4Isvvmj0wlybjY0NnnjiCSxYsADnz5+HVqvFgQMHUF5ebtBx1xg4cCDatGmD\n1157DRUVFUhPT8fu3bsRFRVlUBwTJ07EihUrUFxcjPz8fLzzzjsGH/+tRo8ejZMnT+I///kPKioq\nUFFRge+//x6//vorgLrndsCAAXBxccFrr72G0tJSaLVa/PLLL/jhhx/qXf9WnTp1wunTpxt8f9q0\naUhISMDXX3+NqqoqFBQU4MSJE3rLbffu3cjOzoYQAm3btoWtrS1sbW31xmuIho5pz549+Pnnn6HV\nauHi4gJ7e3vY2tqic+fOGDFiBBYsWIBr166hqqoKp0+fNijBXLx4EUlJSbh+/Trs7e3h5ORU5yJV\nQ9+57NChAyIiIhATE4Nu3bohMDAQQPWXm9uN78cff8SOHTtQWVmJt956C61bt8bAgQNx/fp1qFQq\neHh4oKqqCgkJCfjll1/0HifQ+N9KZGQkjh07pnzm2rVr6+2FqGFra4uJEyfihRdeQElJCc6ePYs3\n33wTU6ZMMSiW2mxsbDB9+nTMnz9fSSoFBQUGXye6d++OmzdvIjk5GRUVFXjllVdQVlZm0LYDBgxA\nly5dsHjxYty4cQM3b97Ed999B6C6vPPz81FRUaGsL6qHfwBUXzcTEhJw5MgRlJWV4f/+7/8wcODA\nBntWap//7du3Kz0Hrq6uUKlUjX5xkTI5eXt7IykpCcuXL0fHjh3RtWtXrFmzRudE1Nfyqf3akiVL\n0L9/f/Tq1Qu9evVC//79sWTJEoO3b2gdoPohwLVr12LixIlo3749tmzZgrFjxza6bW2rV69Gz549\nceedd8Ld3R3PP/88qqqqGjzu+rqz7O3tsWvXLnzxxRfo0KED5s6diw8//BDdu3dv8HhqW7ZsGXx9\nfeHn54f77rsPjz32WIPr6zs3zs7OSE1NxccffwwvLy906dIFzz//PMrLy+vd3sbGBrt378ZPP/2E\nbt26oUOHDpgxYwb++OMPgz7v+eefxyuvvAI3Nze88cYbdeK98847kZCQgGeeeQaurq6IiIhQHoxt\nrNyys7MxfPhwuLi44K677sJTTz2FIUOG6I23oXPW0HLt47tw4QImTJiAdu3aISQkBBEREcqXqA8+\n+ADl5eUICQlB+/btMWHCBOXi2tg5qqqqwptvvgkvLy+4u7vj22+/xbp16+rdLjY2FtHR0XBzc8N/\n//vfevc7efJkpKWlYfLkyTqvNxZffedj7Nix2Lp1K9q3b4/Nmzfj008/ha2tLUJCQvDss88iPDwc\nnTt3xi+//IJ77rmn3vPV2Lm89X0PDw9s374dixcvhoeHB7KzsxvdLwC88847cHJyQrdu3TBo0CA8\n+uijePzxx/V+Vn1WrVoFjUaDgQMHol27dhg+fHiDre9b99WuXTvEx8fjySefhLe3N5ydnXW6IBuL\nxdbWFrt27UJ2dja6du0KHx8fbNu2DQAwbNgw9OjRA507d1aGMWrva9iwYXj55Zfx0EMPwdPTEzk5\nOfj4448bPN7a2/7www8YOHAgXFxcMHbsWKxduxZqtbrB4zXpDRFffPGFCAwMFBqNRqxcubLedZ5+\n+mmh0WhEr169lLvZGtt2yZIlolevXiI0NFT87W9/E+fOnVPeW758udBoNCIwMLDBO6WIyPLExsY2\neoMOtTwmS06VlZXC399f5OTkiPLychEaGqrcOlzj888/F6NGjRJCVN/xFBYWpnfbmttohRBi7dq1\nYtq0aUKI6rtRQkNDRXl5ucjJyRH+/v4Gz35AROal7+5RanlM1q136NAhaDQaqNVq2NvbIyoqSmfw\nEQB27tyJ6OhoAEBYWBiKi4tRVFTU6LYuLi7K9iUlJfDw8AAAJCUlYdKkSbC3t4darYZGo8GhQ4dM\ndXhEZET6upmp5THZ3XoFBQU6faDe3t44ePCg3nUKCgrq3MZ867YvvPACPvzwQzg6OioJqLCwUJl0\ntPa+iMjyLVu2zNwhkIUxWcvJ0G9Bogm3g7766qs4d+4cHn/8ccyfP/8vx0BERJbFZC0nLy8vnWcG\n8vLy6jwPcOs6+fn58Pb2RkVFhd5tgeq7hCIjIxvcV3333ms0mkZvjSUiorpCQ0Px008/Nd8Hmmow\nq6KiQnTr1k3k5OSIsrIyvTdEHDhwQLkhorFta+YDE6L6hoiaQdSaGyLKysqUuc1qphaqzYSHbBFu\nnbaJ5MGyk5u1l19zXztN1nKys7NDXFwcRo4cCa1Wi2nTpiE4OBjr168HAMycORORkZFITk6GRqOB\nk5OTMp1FQ9sC1c+wnDhxAra2tvD391eezwgJCcHEiRMREhICOzs7xMfHt8huvab+yBqZH8tObiw/\n41L9/4zYYlj7b/3ExMQgMTHR3GFQE7Ds5Gbt5dfc104pZ4ighsXExJg7BGoilp3cWH7GxZYTWa3F\ni1ehqKjU3GFYtc6dHbFy5SJzh0HNoLmvnVLOSk4NS09PR0REhLnDsAhFRaVQq2PNHYbBcnPToVZH\nmDuM25KbG2vuECwG655xsVuPiIgsDpOTleE3N3nJ1moiXax7xsXkREREFofJycqkp6ebOwRqotzc\ndHOHQH8B655xMTkREZHFYXKyMuz3lhfHnOTGumdcTE5ERGRxmJysDPu95cUxJ7mx7hkXkxMREVkc\nJicrw35veXHMSW6se8bF5ERERBaHycnKsN9bXhxzkhvrnnExORERkcVhcrIy7PeWF8ec5Ma6Z1xM\nTkREZHGYnKwM+73lxTEnubHuGReTExERWRwmJyvDfm95ccxJbqx7xsXkREREFofJycqw31teHHOS\nG+uecTE5ERGRxWFysjLs95YXx5zkxrpnXExORERkcZicrAz7veXFMSe5se4ZF5MTERFZHJMmp5SU\nFAQFBSEgIACrVq2qd5158+YhICAAoaGhyMzM1LvtwoULERwcjNDQUIwfPx5Xr14FAOTm5sLR0RF9\n+vRBnz59MGfOHFMemsViv7e8OOYkN9Y94zJZctJqtZg7dy5SUlKQlZWFLVu24Pjx4zrrJCcnIzs7\nG6dOncKGDRswe/ZsvduOGDECx44dw5EjR9C9e3esWLFC2Z9Go0FmZiYyMzMRHx9vqkMjIiITM1ly\nOnToEDQaDdRqNezt7REVFYWkpCSddXbu3Ino6GgAQFhYGIqLi1FUVNTotsOHD4eNjY2yTX5+vqkO\nQUrs95YXx5zkxrpnXCZLTgUFBfDx8VGWvb29UVBQYNA6hYWFercFgE2bNiEyMlJZzsnJQZ8+fRAR\nEYF9+/YZ83CIiKgZ2ZlqxyqVyqD1hBBN2v+rr74KBwcHTJ48GQDg6emJvLw8uLm54fDhwxg3bhyO\nHTsGFxeXJu1fVuz3lhfHnOTGumdcJktOXl5eyMvLU5bz8vLg7e3d6Dr5+fnw9vZGRUVFo9smJiYi\nOTkZaWlpymsODg5wcHAAAPTt2xf+/v44deoU+vbtWye2mJgYqNVqAICrqyt69+6t/GHVNM25bB3L\nNV1lNRd+Lht3uagoF+np6RZT3lw23nJ6ejoSExMBQLleNieVaGrTRY/KykoEBgYiLS0Nnp6eGDBg\nALZs2YLg4GBlneTkZMTFxSE5ORkZGRmYP38+MjIyGt02JSUFzz77LPbu3QsPDw9lX5cuXYKbmxts\nbW1x5swZDB48GL/88gtcXV11D1ilanJrTQa1LxQtXUxMLNTqWHOHYbDc3HTpWk+5ubFITIw1dxgW\nwdrrXnNfO03WcrKzs0NcXBxGjhwJrVaLadOmITg4GOvXrwcAzJw5E5GRkUhOToZGo4GTkxMSEhIa\n3RYAnn76aZSXl2P48OEAgPDwcMTHx2Pv3r1YtmwZ7O3tYWNjg/Xr19dJTEREJAeTtZwslbW3nOhP\nsrWcZMSWU8vR3NdOzhBBREQWh8nJytQMaJJ8+JyT3Fj3jIvJiYiILI7e5LRw4UL88ccfqKiowLBh\nw+Dh4YEPP/ywOWKjJrDmu4WsnWx36pEu1j3j0pucUlNT0bZtW+zevRtqtRqnT5/G66+/3hyxERFR\nC6U3OVVWVgIAdu/ejYcffhjt2rUzePYHan7s95YXx5zkxrpnXHqfcxozZgyCgoLQunVrrFu3Dhcv\nXkTr1q2bIzYiImqhDHrO6ffff4erqytsbW1x/fp1XLt2DZ07d26O+IyOzzm1HHzOyfT4nFPLYXEz\nRFRWVmLfvn3Izc1VuvhUKhUWLFhg8uCIiKhl0jvmNGbMGLz//vu4fPkySkpKUFJSgmvXrjVHbNQE\n7PeWF8ec5Ma6Z1x6W04FBQU4evRoc8RCREQEwICW04gRI/Dll182RyxkBHzWQl58zklurHvGpbfl\ndNddd+HBBx9EVVUV7O3tAVSPOf3xxx8mD46IiFomvS2nBQsWICMjAzdu3MC1a9dw7do1JiYLxn5v\neXHMSW6se8alNzl17doVPXr0gI0Np+EjIqLmobdbz8/PD0OHDsWoUaOUn0HnreSWi/3e8uKYk9xY\n94zLoOTk5+eH8vJylJeXN0dMRETUwulNTrGxsc0QBhlLeno6v8FJKjc3na0nibHuGRcHkoiIyOIw\nOVkZfnOTF1tNcmPdMy4mJyIisjh6x5wuXryIjRs31pn4ddOmTSYPjm4f+73lxTEnubHuGZfe5DR2\n7FgMHjwYw4cPV5514o8NEhGRKelNTqWlpVi1alVzxEJGwG9u8mKrSW6se8ald8xp9OjR+Pzzz5sj\nFiIiIgAGJKe33noLY8aMQevWreHi4gIXFxe0bdu2OWKjJuD8XvLi3HpyY90zLr3deiUlJc0RBxER\nkaLB5HT8+HEEBwfj8OHD9b7ft29fkwVFTcd+b3lxzElurHvG1WByeuONN7Bx40YsWLCg3rvz9uzZ\nY9LAiIio5WpwzGnjxo0AqvtR9+zZU+efIVJSUhAUFISAgIAG7/ibN28eAgICEBoaiszMTL3bLly4\nEMHBwQgNDcX48eNx9epV5b0VK1YgICAAQUFBSE1NNShGa8N+b3lxzElurHvGZbIZIrRaLebOnYuU\nlBRkZWVhy5YtOH78uM46ycnJyM7OxqlTp7BhwwbMnj1b77YjRozAsWPHcOTIEXTv3h0rVqwAAGRl\nZWHr1q3IyspCSkoK5syZg6qqKlMdHhERmZDJktOhQ4eg0WigVqthb2+PqKgoJCUl6ayzc+dOREdH\nAwDCwsJQXFyMoqKiRret/TBwWFgY8vPzAQBJSUmYNGkS7O3toVarodFocOjQIVMdnsViv7e8OOYk\nN9Y94zJZciooKICPj4+y7O3tjYKCAoPWKSws1LstAGzatAmRkZEAgMLCQnh7e+vdhoiILJ/eW8mB\n6iSSm5sLrVYLIQRUKhUGDx7c6DaGTnEkhDBovVu9+uqrcHBwwOTJk287hpiYGKjVagCAq6srevfu\nrXzrqemzN6HKAAAgAElEQVQ3lnX5rbfesqrj+avLNeM4Na0SS16uPeZkCfEYslxUlKszp5y5y9uc\ny7XHnCwhHmMcT2JiIgAo18vmpBJ6ssOiRYuwdetWhISEwNbWVnl9165dje44IyMDsbGxSElJAVB9\ns4KNjQ0WLVqkrDNr1ixEREQgKioKABAUFIS9e/ciJyen0W0TExOxceNGpKWloXXr1gCAlStXAgAW\nL14MALjvvvvw4osvIiwsTPeAVaomJ0QZ1L5QtHQxMbFQq2PNHYbBZJz4NTc3FomJseYOwyJYe91r\n7mun3pbTjh07cOLECbRq1eq2dty/f3+cOnUKubm58PT0xNatW7FlyxaddR544AHExcUhKioKGRkZ\ncHV1RadOneDu7t7gtikpKXj99dexd+9eJTHV7Gvy5MlYsGABCgoKcOrUKQwYMOC2YrYG1lw5rJ1s\niYl0se4Zl97k5O/vj/Ly8ttOTnZ2doiLi8PIkSOh1Woxbdo0BAcHY/369QCAmTNnIjIyEsnJydBo\nNHByckJCQkKj2wLA008/jfLycgwfPhwAEB4ejvj4eISEhGDixIkICQmBnZ0d4uPjOXs6EZGk9Hbr\njR8/HkeOHMGwYcOUBKVSqbB27dpmCdDY2K3XcrBbz/TYrfcna697Ftet98ADD+CBBx5QWiE1N0QQ\nERGZit7kFBMTg7KyMpw8eRJA9U0L9vb2Jg+Mmsaav7lZO9laTaSLdc+49Can9PR0REdHw9fXFwBw\n7tw5vP/++xgyZIjJgyMiopZJ70O4CxYsQGpqKr755ht88803SE1NxTPPPNMcsVET1H7WguTCufXk\nxrpnXHqTU2VlJQIDA5Xl7t27o7Ky0qRBERFRy6a3W69fv3548sknMWXKFAghsHnzZvTv3785YqMm\nYL+3vDjmJDfWPePSm5zWrVuHf/3rX8qt44MGDcKcOXNMHhgREbVcerv1WrdujWeffRaffvopPv30\nUzzzzDO3/UAuNR/2e8uLY05yY90zrgZbThMmTMD27dtxxx131HmuSaVS4ejRoyYPjoiIWqYGk9Pb\nb78NAPj888/rPBXMh3AtF/u95cUxJ7mx7hlXg916np6eAID4+Hio1Wqdf/Hx8c0WIBERtTx6x5xS\nU1PrvJacnGySYOivY7+3vDjmJDfWPeNqsFtv3bp1iI+Px+nTp9GzZ0/l9WvXruHuu+9uluCIiKhl\najA5TZ48GaNGjcLixYuxatUqZdzJxcUF7u7uzRYg3R72e8uLY05yY90zrgaTU7t27dCuXTt8/PHH\nAICLFy/i5s2buH79Oq5fv46uXbs2W5BERNSy6B1z2rlzJwICAuDn54chQ4ZArVZj1KhRzREbNQH7\nveXFMSe5se4Zl97ktGTJEhw4cADdu3dHTk4O0tLSEBYW1hyxERFRC6U3Odnb28PDwwNVVVXQarUY\nOnQofvjhh+aIjZqA/d7y4piT3Fj3jEvv3Hpubm64du0aBg0ahEcffRQdO3aEs7Nzc8RGREQtlN6W\nU1JSEtq0aYM333wT9913HzQaDXbt2tUcsVETsN9bXhxzkhvrnnHpTU4vvfQSbG1tYW9vj5iYGMyb\nNw+vvfZac8RGREQtFGeIsDLs95YXx5zkxrpnXJwhgoiILA5niLAy6enp/AYnqdzcdLaeJMa6Z1x6\nZ4hYtWoVVCqV8jMZnCGCiIhMTe+t5KNHj1b+/+bNm8jJyUFgYCCOHTtm0sCoafjNTV5sNcmNdc+4\n9Cann3/+WWf58OHD+Ne//mWygIiIiPTerXervn374uDBg6aIhYyAz1rIi885yY11z7j0Jqc1a9Yo\n/15//XVMmjQJXl5eBu08JSUFQUFBCAgIwKpVq+pdZ968eQgICEBoaCgyMzP1brt9+3b06NEDtra2\nOHz4sPJ6bm4uHB0d0adPH/Tp0wdz5swxKEYiIrI8erv1rl27ptwMYWdnh9GjR+Ohhx7Su2OtVou5\nc+fiq6++gpeXF+6880488MADCA4OVtZJTk5GdnY2Tp06hYMHD2L27NnIyMhodNuePXtix44dmDlz\nZp3P1Gg0OgmuJWK/t7w45iQ31j3j0pucYmNjAQBXr16FSqVC27ZtDdrxoUOHoNFooFarAQBRUVFI\nSkrSSU47d+5EdHQ0ACAsLAzFxcUoKipCTk5Og9sGBQXdxuEREZGM9Hbrff/99+jZsyd69eqFnj17\nIjQ01KBZyQsKCuDj46Mse3t7o6CgwKB1CgsL9W5bn5ycHPTp0wcRERHYt2+f3vWtEfu95cUxJ7mx\n7hmX3pbTE088gfj4eAwaNAgAsG/fPjzxxBM4evRoo9vVdAXqU/Nw71/l6emJvLw8uLm54fDhwxg3\nbhyOHTsGFxcXo+yfiIiaj97kZGdnpyQmALjnnntgZ6d3M3h5eSEvL09ZzsvLg7e3d6Pr5Ofnw9vb\nGxUVFXq3vZWDgwMcHBwAVN9R6O/vj1OnTqFv37511o2JiVG6DF1dXdG7d2+lv7jm24+syzWvWUo8\n5l6uaY3UjOdY8rJaHWFR8RiyXFSUy7+3/78cERFhUfH81eX09HQkJiYCgHK9bE4qoafpMn/+fJSW\nlmLSpEkAgK1bt6J169aYOnUqANR78QeAyspKBAYGIi0tDZ6enhgwYAC2bNlS54aIuLg4JCcnIyMj\nA/Pnz0dGRoZB2w4dOhSrV69Gv379AACXLl2Cm5sbbG1tcebMGQwePBi//PILXF1ddQ9YpTJaa40s\nW0xMLNTqWHOHYdVyc2ORmBhr7jCoGTT3tVNvE+inn36CSqXCiy++CKC6G06lUuGnn34CAOzZs6f+\nHdvZIS4uDiNHjoRWq8W0adMQHByM9evXAwBmzpyJyMhIJCcnQ6PRwMnJCQkJCY1uCwA7duzAvHnz\ncOnSJdx///3o06cPvvjiC+zduxfLli2Dvb09bGxssH79+jqJqSWo/S2W5MK59eTGumdceltO1sba\nW06sIH+SreUkY3Jiy+lP1l73LK7ldOXKFXzwwQfIzc1FZWUlgOog165da/Lg6PZZc+WwdrIlJtLF\numdcepNTZGQkwsPD0atXL9jY2CjdekRERKaiNzmVlZXhjTfeaI5YyAisvWvBmsnYrUd/Yt0zLr0P\n4U6ePBkbNmzA+fPncfnyZeUfERGRqehtObVu3RoLFy7Eq6++Chub6lymUqlw5swZkwdHt4/f3OTF\nVpPcWPeMS29yWrNmDU6fPg0PD4/miIeIiEh/t15AQAAcHR2bIxYygponvEk+nFtPbqx7xqW35dSm\nTRv07t0bQ4cORatWrQDwVnIiIjItvclp3LhxGDdunHL7OG8lt2zs95YXx5zkxrpnXHqTU0xMDMrK\nynDy5EkAQFBQEOzt7U0eGBERtVx6x5zS09PRvXt3PPXUU3jqqacQEBCAvXv3Nkds1ATs95YXx5zk\nxrpnXHpbTgsWLEBqaioCAwMBACdPnkRUVBQOHz5s8uCIiKhl0ttyqvn5ihrdu3dX5tgjy8N+b3lx\nzElurHvGpbfl1K9fPzz55JOYMmUKhBDYvHkz+vfv3xyxERFRC6W35bRu3ToEBwdj7dq1eOedd9Cj\nRw+sW7euOWKjJmC/t7w45iQ31j3j0tty0mq1mD9/Pp599llluayszOSBERFRy6W35fS3v/0NpaWl\nyvKNGzdw7733mjQoajr2e8uLY05yY90zLr3JqaysDM7Ozsqyi4sLbty4YdKgiIioZdObnJycnPDj\njz8qyz/88APn2rNg7PeWF8ec5Ma6Z1x6x5zeeustTJw4EV26dAEAnD9/Hlu3bjV5YERE1HLpTU53\n3nknjh8/jhMnTgAAAgMD4eDgYPLAqGnY7y0vjjnJjXXPuPQmJwBwcHBAz549TR0LERERAAPGnEgu\n7PeWF8ec5Ma6Z1yNJichBPLy8porFiIiIgAGtJxGjRrVHHGQkbDfW14cc5Ib655xNZqcVCoV+vXr\nh0OHDjVXPERERPpbThkZGQgPD0e3bt3Qs2dP9OzZE7169WqO2KgJ2O8tL445yY11z7j03q335Zdf\nNkccRERECr0tJ7Vajby8POzZswdqtRpOTk4QQhi085SUFAQFBSEgIACrVq2qd5158+YhICAAoaGh\nyMzM1Lvt9u3b0aNHD9ja2tb5wcMVK1YgICAAQUFBSE1NNShGa8N+b3lxzElurHvGpTc5xcbG4rXX\nXsOKFSsAAOXl5ZgyZYreHWu1WsydOxcpKSnIysrCli1bcPz4cZ11kpOTkZ2djVOnTmHDhg2YPXu2\n3m179uyJHTt2YPDgwTr7ysrKwtatW5GVlYWUlBTMmTMHVVVVhp0FIiKyKHqT044dO5CUlAQnJycA\ngJeXF65du6Z3x4cOHYJGo4FarYa9vT2ioqKQlJSks87OnTsRHR0NAAgLC0NxcTGKiooa3TYoKAjd\nu3ev83lJSUmYNGkS7O3toVarodFoWuSNHOz3lhfHnOTGumdcepNTq1atYGPz52rXr183aMcFBQXw\n8fFRlr29vVFQUGDQOoWFhXq3vVVhYSG8vb1vaxsiIrJMepPThAkTMHPmTBQXF2PDhg0YNmwYnnzy\nSb07VqlUBgVg6PhVUxgagzVhv7e8OOYkN9Y949J7t97ChQuRmpoKFxcXnDx5Ei+//DKGDx+ud8de\nXl46s0vk5eXptGzqWyc/Px/e3t6oqKjQu62+z8vPz4eXl1e968bExECtVgMAXF1d0bt3b+UPq6Zp\nzmXrWK7pKqu58HPZuMtFRblIT0+3mPLmsvGW09PTkZiYCADK9bI5qYQBTZfz58/j0KFDUKlUGDBg\nADp37qx3x5WVlQgMDERaWho8PT0xYMAAbNmyBcHBwco6ycnJiIuLQ3JyMjIyMjB//nxkZGQYtO3Q\noUOxevVq9OvXD0D1DRGTJ0/GoUOHUFBQgHvvvRfZ2dl1Wk8qlcqkrTVzq32haOliYmKhVseaOwyD\n5eamS9d6ys2NRWJirLnDsAjWXvea+9qpt1vv3XffRVhYGD799FN88sknCAsLw3vvvad3x3Z2doiL\ni8PIkSMREhKCRx55BMHBwVi/fj3Wr18PAIiMjES3bt2g0Wgwc+ZMxMfHN7otUH2Dho+PDzIyMnD/\n/fcr0yuFhIRg4sSJCAkJwahRoxAfH98iu/WIiKyB3pZT9+7dceDAAbi7uwMAfv/9d4SHh+PkyZPN\nEqCxWXvLif4kW8tJRmw5tRwW13Ly8PCAs7Ozsuzs7AwPDw+TBkVERC2b3uTk7++PgQMHIjY2FrGx\nsRg4cCACAgKwZs0avPHGG80RI90GPmshLz7nJDfWPePSe7eev78//P39lfGbsWPHQqVSoaSkxOTB\nERFRy6Q3OcXGxjZDGGQs1ny3kLWT7U490sW6Z1z8mXYiIrI4TE5Whv3e8uKYk9xY94yLyYmIiCyO\n3uR04sQJDBs2DD169AAAHD16FK+88orJA6OmYb+3vDjmJDfWPePSm5ymT5+O5cuXw8HBAUD17ylt\n2bLF5IEREVHLpTc53bhxA2FhYcqySqWCvb29SYOipmO/t7w45iQ31j3j0pucOnTogOzsbGX5v//9\nL7p06WLSoIiIqGXT+5xTXFwcZsyYgV9//RWenp7w8/PD5s2bmyM2agL2e8uLY05yY90zLoNmiEhL\nS8P169dRVVUFFxeX5oiLiIhaML3J6cqVK/jggw+Qm5uLyspKANXjTmvXrjV5cHT7rP03ZayZjL/n\nRH9i3TMuvckpMjIS4eHh6NWrF2xsbCCE4O8kERGRSelNTmVlZZx9XCL85iYvtprkxrpnXHrv1ps8\neTI2bNiA8+fP4/Lly8o/IiIiU9GbnFq3bo2FCxdi4MCB6NevH/r164f+/fs3R2zUBHzWQl58zklu\nrHvGpbdbb82aNTh9+jR//ZaIiJqN3pZTQEAAHB0dmyMWMgL2e8uLY05yY90zLr0tpzZt2qB3794Y\nOnQoWrVqBYC3khMRkWnpTU7jxo3DuHHjdF7jreSWi89ayIvPOcmNdc+49CanmJiYZgiDiIjoTw0m\npwkTJmD79u3o2bNnnfdUKhWOHj1q0sCoafjNTV5sNcmNdc+4GkxOb7/9NgBg9+7dEELovMduPSIi\nMqUG79bz9PQEAMTHx0OtVuv8i4+Pb7YA6fbwWQt58TknubHuGZfeW8lTU1PrvJacnGySYIiIiIBG\nuvXWrVuH+Ph4nD59Wmfc6dq1a7j77rubJTi6fez3lhfHnOTGumdcDbacJk+ejF27duGBBx7A7t27\nsWvXLuzatQs//vijwT82mJKSgqCgIAQEBGDVqlX1rjNv3jwEBAQgNDQUmZmZere9fPkyhg8fju7d\nu2PEiBEoLi4GAOTm5sLR0RF9+vRBnz59MGfOHINiJCIiy9NgcmrXrh3UajU+/vhj+Pr6KuNN7u7u\nBu1Yq9Vi7ty5SElJQVZWFrZs2YLjx4/rrJOcnIzs7GycOnUKGzZswOzZs/Vuu3LlSgwfPhwnT57E\nsGHDsHLlSmV/Go0GmZmZyMzMbLHjYuz3lhfHnOTGumdcesecmurQoUPQaDRQq9Wwt7dHVFQUkpKS\ndNbZuXMnoqOjAQBhYWEoLi5GUVFRo9vW3iY6OhqfffaZqQ6BiIjMxGTJqaCgAD4+Psqyt7c3CgoK\nDFqnsLCwwW0vXLiATp06AQA6deqECxcuKOvl5OSgT58+iIiIwL59+0xyXJaO/d7y4piT3Fj3jEvv\nDBFNZeizULc+Q9XQOvXtT6VSKa97enoiLy8Pbm5uOHz4MMaNG4djx47BxcXl9gInIiKzM1ly8vLy\nQl5enrKcl5cHb2/vRtfJz8+Ht7c3Kioq6rzu5eUFoLq1VFRUhM6dO+P8+fPo2LEjAMDBwQEODg4A\ngL59+8Lf3x+nTp1C375968QWExMDtVoNAHB1dUXv3r2Vbz01/cYRERFYvHgVfvqpeqyrc+fq9YuK\nci16OSsrA+3bd7aYePQtl5cXYsaMyfWef2Ms14zj1LRKLHm59piTJcRjyHJRUa7OnHLGKr+UlIMo\nKio1+9/n7SzX/L+lxGPIcmP1Lz09HYmJiQCgXC+bk0oY0nRpgsrKSgQGBiItLQ2enp4YMGAAtmzZ\nguDgYGWd5ORkxMXFITk5GRkZGZg/fz4yMjIa3fa5556Du7s7Fi1ahJUrV6K4uBgrV67EpUuX4Obm\nBltbW5w5cwaDBw/GL7/8AldXV90DVqkMaq0BQExMLNTqWGOeFpOTbfLQ3NxYJCbGmmTfspWfbGUH\nmK78ZCs7wPrL73auncZgspaTnZ0d4uLiMHLkSGi1WkybNg3BwcFYv349AGDmzJmIjIxEcnIyNBoN\nnJyckJCQ0Oi2ALB48WJMnDgR7733HtRqNbZt2wYA+Oabb7B06VLY29vDxsYG69evr5OYWgLZKgf9\niWUnN5afcZksOQHAqFGjMGrUKJ3XZs6cqbMcFxdn8LYA0L59e3z11Vd1Xh8/fjzGjx//F6IlIiJL\nYbK79cg8+KyMvFh2cmP5GReTExERWRwmJyvDfm95sezkxvIzLiYnIiKyOExOVob93vJi2cmN5Wdc\nTE5ERGRxmJysDPu95cWykxvLz7iYnIiIyOIwOVkZ9nvLi2UnN5afcTE5ERGRxWFysjLs95YXy05u\nLD/jYnIiIiKLw+RkZdjvLS+WndxYfsbF5ERERBaHycnKsN9bXiw7ubH8jIvJiYiILA6Tk5Vhv7e8\nWHZyY/kZF5MTERFZHCYnK8N+b3mx7OTG8jMuJiciIrI4TE5Whv3e8mLZyY3lZ1xMTkREZHGYnKwM\n+73lxbKTG8vPuJiciIjI4jA5WRn2e8uLZSc3lp9xMTkREZHFYXKyMuz3lhfLTm4sP+NiciIiIotj\n0uSUkpKCoKAgBAQEYNWqVfWuM2/ePAQEBCA0NBSZmZl6t718+TKGDx+O7t27Y8SIESguLlbeW7Fi\nBQICAhAUFITU1FTTHZgFY7+3vFh2cmP5GZfJkpNWq8XcuXORkpKCrKwsbNmyBcePH9dZJzk5GdnZ\n2Th16hQ2bNiA2bNn69125cqVGD58OE6ePIlhw4Zh5cqVAICsrCxs3boVWVlZSElJwZw5c1BVVWWq\nw7NYRUU/mTsEaiKWndxYfsZlsuR06NAhaDQaqNVq2NvbIyoqCklJSTrr7Ny5E9HR0QCAsLAwFBcX\no6ioqNFta28THR2Nzz77DACQlJSESZMmwd7eHmq1GhqNBocOHTLV4VmsmzeL9a9EFollJzeWn3GZ\nLDkVFBTAx8dHWfb29kZBQYFB6xQWFja47YULF9CpUycAQKdOnXDhwgUAQGFhIby9vRv9PCIikoPJ\nkpNKpTJoPSGEQevUtz+VStXo5xgagzUpLs41dwjURCw7ubH8jMvOVDv28vJCXl6espyXl6fTsqlv\nnfz8fHh7e6OioqLO615eXgCqW0tFRUXo3Lkzzp8/j44dOza4r5ptagsNDb3NpPXibaxrGY4ced/c\nIdyW99835TmWq/xkKzvAlOUnV9kB1l1+oaGhJo7kFsJEKioqRLdu3UROTo4oKysToaGhIisrS2ed\nzz//XIwaNUoIIcSBAwdEWFiY3m0XLlwoVq5cKYQQYsWKFWLRokVCCCGOHTsmQkNDRVlZmThz5ozo\n1q2bqKqqMtXhERGRCZms5WRnZ4e4uDiMHDkSWq0W06ZNQ3BwMNavXw8AmDlzJiIjI5GcnAyNRgMn\nJyckJCQ0ui0ALF68GBMnTsR7770HtVqNbdu2AQBCQkIwceJEhISEwM7ODvHx8S2yW4+IyBqohDBg\n0IeIiKgZcYYIIiKyOExOVqime5Qs2/Hjx5GWloaSkhKd11NSUswUETXV5cuXcfToUXOHYVWYnKzQ\n0qVLzR0C6bF27VqMGzcO77zzDnr06KE8TA4Azz//vBkjI0MNGTIEf/zxBy5fvox+/frhySefxDPP\nPGPusKyGyW6IINPq2bNng+9dvHixGSOhptiwYQN+/PFHODs7Izc3Fw8//DByc3Mxf/58c4dGBrp6\n9Sratm2Ld999F4899hhefPHFRusl3R4mJ0ldvHgRKSkpcHNzq/PeXXfdZYaI6HYIIeDs7AwAUKvV\nSE9Px0MPPYSzZ88a9GA6mZ9Wq8X58+exbds2vPLKKwBa5oP/psJuPUndf//9KCkpgVqtrvNvyJAh\n5g6P9OjYsSN++unPiUKdnZ2xe/du/P777xy7kMTSpUsxcuRI+Pv7Y8CAATh9+jQCAgLMHZbV4K3k\nRGaQl5cHe3t7dO7cWed1IQT279+Pe+65x0yRkSG0Wi3efvttLFiwwNyhWC22nKzAt99+q9yh99tv\nvyEnJ8fMEZE+Pj4+SmKqXX6XLl2qd9otsiy2trbYsmWLucOwamw5SS42NhY//vgjTpw4gZMnT6Kg\noAATJkzAd999Z+7QyAD1ld/EiROxf/9+c4dGejzzzDOoqKjAI488AicnJ+X1vn37mjEq68EbIiS3\nY8cOZGZmol+/fgCqJ8C99bkZslz1ld+1a9fMHBUZIjMzEyqVqs6jG3v27DFTRNaFyUlyrVq1go3N\nn72z169fN2M0dLtYfvJKT083dwhWjclJchMmTMDMmTNRXFyMDRs2YNOmTXjyySfNHRYZiOUnrxdf\nfBEqlarO783xIXjj4JiTFUhNTUVqaioAYOTIkRg+fLiZI6LbwfKT0+rVq5WkVFpait27dyMkJASb\nNm0yc2TWgclJctevX0fr1q1ha2uLEydO4MSJExg1ahTs7e3NHRoZgOVnPcrKyjBixAjs3bvX3KFY\nBd5KLrlBgwahrKwMBQUFGDlyJD788EPExMSYOywyEMvPely/fh0FBQXmDsNqcMxJckIItGnTBu+9\n9x7mzJmD5557rvl/TpmajOUnr9rz6FVVVeHixYscbzIiJicrcODAAWzevBnvvfcegOqKQvJg+clp\n165dyv/b2dmhU6dO7I41InbrSe6tt97CihUr8OCDD6JHjx44ffo0hg4dau6wyEAsP3kVFRWhffv2\nUKvV8Pb2RmlpKQ4ePGjusKwGb4iQmFarxXPPPYc1a9aYOxRqApaf3Hr37o3Dhw8rz6lptVr0798f\nmZmZZo7MOrDlJDFbW1vs37+fP7EgKZaf/Go/QG1rawutVmvGaKwLx5wk17t3b4wdOxYTJkxAmzZt\nAFT/psz48ePNHBkZguUnLz8/P6xduxazZ8+GEALr1q1Dt27dzB2W1WC3nuRqbju+9UfOama5JsvG\n8pPXhQsXMG/ePGUuvWHDhuHtt99Gx44dzRyZdWByIiIii8MxJ8mdOHECw4YNQ48ePQAAR48eVX4y\nmiwfy09eLDvTYnKS3PTp07F8+XI4ODgAqH4wkD+CJg+Wn7xYdqbF5CS5GzduICwsTFlWqVR8EFAi\nLD95sexMi8lJch06dEB2dray/N///hddunQxY0R0O1h+8mLZmRZviJDc6dOnMWPGDHz33Xdwc3OD\nn58fNm/eDLVabe7QyAAsP3nVlN2BAwfg6urKsjMyJifJabVa2NraoqSkBFVVVWjbtq25Q6LbwPKT\nk1arxaJFi7B69WqWnYmwW09yfn5+mDFjBg4ePAgXFxdzh0O3ieUnJ1tbW+zbtw9CCDg7OzMxmQBb\nTpK7fv06du/ejY8//hiHDx/GmDFj8Mgjj2DQoEHmDo0MwPKT16xZs1BYWMjZPUyEycmKXLlyBfPm\nzcNHH33EOb4kxPKTS0xMTJ2ZPQDO7mEsnFvPCqSnp2Pr1q1ISUnBnXfeiW3btpk7JLoNLD85JSYm\nNvr+ihUr8PzzzzdPMFaILSfJqdVq9O7dG4888gjGjBkDZ2dnc4dEt4HlZ7369OnDn8/4C9hyktyR\nI0fQrl07c4dBTcTyI6of79aTXFFRkc78XkeOHOH8XhJh+RHVj8lJcrfO79WrVy/O7yURlh9R/Zic\nJMf5veTG8rNeEyZMMHcIUmNykhzn95Iby09e+n4y4//+7//MFZpV4N16kuP8XnJj+clr8ODBeP31\n1zrcdUkAAAdTSURBVDFr1ixkZmZCCIE77rgDx44dM3doVoF360lMq9Vi3bp1SEtL4/xeEmL5yY1d\nsqbF5CSxW+f3Irmw/OTGLlnTYree5Di/l9xYfvLiz52YFpOT5Di/l9xYfvK7fv06qqqqOKu8kTE5\nWTnO7yU3lp/lunLlCj744APk5uaisrISQHWrd+3atWaOzDowOVk5zu8lN5af5QoPD0d4eDh69uwJ\nGxsbCCGgUqkQHR1t7tCsAm+IICJqgrKyMrzxxhvmDsNq8SFcIqImmDx5MjZs2IDz58/j8uXLyj8y\nDraciIiaoHXr1li4cCFeffVV2NhUf89XqVQ4c+aMmSOzDkxOVo7ze8mN5We51qxZg9OnT8PDw8Pc\noVgldutJjvN7yY3lJ6+AgAA4OjqaOwyrxbv1JMf5veTG8pPXuHHjcOzYMQwdOhStWrUCwFvJjYnd\nepLj/F5yY/nJa9y4cRg3bpzyEHXNreRkHExOkuP8XnJj+ckrJiYGZWVlOHnyJAAgKCiIXyyMiN16\nkuP8XnJj+ckrPT0d0dHR8PX1BQCcO3cO77//PoYMGWLmyKwDk5OV4PxecmP5yadv377YsmULAgMD\nAQAnT55EVFQUDh8+bObIrAO79STH+b3kxvKTV2VlpZKYAKB79+5KGdJfx+QkucjISISHh6NXr146\n83uRHFh+8urXrx+efPJJTJkyBUIIbN68Gf379zd3WFaD3XqS69u3L7sRJMbyk1dZWRni4uKwf/9+\nAMCgQYMwZ84c5bZy+muYnCS3evVqtG3bFmPGjNGpFO3btzdjVGQolp+cKisrcccdd+DXX381dyhW\ni916kuP8XnJj+cnJzs4OgYGBOHv2rHK3HhkXW06S8/Pzw/fff8/5vSTF8pPXoEGDkJmZiQEDBsDJ\nyQlA9ReLnTt3mjky68CWk+Q4v5fcWH7yevnll80dglVjcpJcmzZt0Lt3b87vJSmWn7wiIiLMHYJV\nY3KSHOf3khvLTz7Ozs4NlpFKpcIff/zRzBFZJ445WQHO7yU3lp+clixZAk9PT0yZMgUAsHnzZhQW\nFrK7z0iYnCTH+b3kxvKTV69evXD06FG9r1HTsFtPcgsWLEBqairn95IUy09eTk5O+M9//oNJkyYB\nAD7++GM4OzubOSrrwV/ClRzn95Iby09eH330EbZt24ZOnTqhU6dO2LZtGz766CNzh2U12K0nuccf\nfxy2trY683tVVVVh06ZN5g6NDMDyI6ofk5PkOL+X3Fh+8rp48SI2btxYZ0Z5frEwDiYniXF+L7mx\n/OQWHh6OwYMHo1+/fjpTTz300ENmjsw68IYIiXF+L7mx/ORWWlqKVatWmTsMq8XkJLnLly+jR48e\nnN9LUiw/eY0ePRqff/457r//fnOHYpXYrSe59PT0el/n1CpyYPnJy9nZGTdu3ICDg4Py4DRniDAe\nJiciIrI47NaTFOf3khvLT17Hjx9HcHBwgw9K9+3bt5kjsk5MTpIqKSkB0PD8XmTZWH7yeuONN7Bx\n40YsWLCg3i8Ye/bsMUNU1ofdepLj/F5yY/kR1Y8tJ8lxfi+5sfzk88knnzT6sybjx49vxmisF1tO\nksvJycHf//53fPfddwCAu+++G2+//TbUarV5AyODsPzkExMT02hySkhIaMZorBeTExERWRx260mO\n83vJjeUnt927dyMrKws3b95UXlu6dKkZI7IeTE6SGzt2LAYPHozhw4frzO9FcmD5yWvmzJkoLS3F\n119/jenTp2P79u0ICwszd1hWg916kuvduzd++uknc4dBTcTyk1fPnj3x888/K3dXlpSU4L777sO+\nffvMHZpV4I8NSq5mfi+SE8tPXo6Ojsp/CwoKYGdnh6KiIjNHZT3YcpIc5/eSG8tPXi+99BKefvpp\nfP3113jqqacAANOnT8fLL79s5sisA5MTEVETlJaWIj4+Hvv27YNKpcI999yD2bNnKy0q+muYnCTF\n+b3kxvKT34QJE9C2bVtMmTIFQgh89NFHuHr1KrZv327u0KwCk5Okpk+fjo0bNyIiIoLze0mI5Se/\nkJAQZGVl6X2NmobJiYioCaZMmYKnnnoK4eHhAICMjAz861//wocffmjmyKwDk5OkOL+X3Fh+8gsK\nCsLJkyfh4+MDlUqFc+fOITAwEHZ2dlCpVJy89y/iQ7iS2rVrFy9uEmP5yS8lJcXcIVg1tpyIiMji\nsOVkBTi/l9xYfkR1cYYIyc2cORPbtm3D2rVrIYTAtm3bcPbsWXOHRQZi+RHVj916kuP8XnJj+RHV\njy0nyXF+L7mx/IjqxzEnyY0ePRpXrlzBc889h379+gGofsCT5MDyI6ofu/Ukx/m95MbyI6ofk5Pk\nOL+X3Fh+RPVjcpIc5/eSG8uPqH68IUJyffv2xYEDB5TljIwMZeyCLB/Lj6h+bDlJjvN7yY3lR1Q/\nJifJ5ebmNvq+Wq1uljioaVh+RPVjciIiIovDMSciIrI4TE5ERGRxmJyIiMjiMDkREZHFYXIiIiKL\n8/8AVRvie0rr9RMAAAAASUVORK5CYII=\n",
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 29
}
],
"metadata": {}
diff --git a/benchmarks/timeit_tests.ipynb b/benchmarks/timeit_tests.ipynb
index bbd8c17..199d744 100644
--- a/benchmarks/timeit_tests.ipynb
+++ b/benchmarks/timeit_tests.ipynb
@@ -1,7 +1,7 @@
{
"metadata": {
"name": "",
- "signature": "sha256:132d5623e27eb721587599809f9870d397887ec873bbbdc95b25a05e710d160e"
+ "signature": "sha256:a2b1ea908157604888db3edc69f70ebb7f6f25d46bbb813b419c0879633a8962"
},
"nbformat": 3,
"nbformat_minor": 0,
@@ -67,7 +67,8 @@
"- [Comprehensions vs. for-loops](#comprehensions)\n",
"- [Copying files by searching directory trees](#find_copy)\n",
"- [Returning column vectors slicing through a numpy array](#row_vectors)\n",
- "- [Speed of numpy functions vs Python built-ins and std. lib.](#numpy)"
+ "- [Speed of numpy functions vs Python built-ins and std. lib.](#numpy)\n",
+ "- [Cython vs. regular (C)Python](#cython)"
]
},
{
@@ -119,7 +120,7 @@
"cell_type": "markdown",
"metadata": {},
"source": [
- "We expect the string .format() method to perform slower than %, because it is doing the formatting for each object itself, where formatting via the binary % is hard-coded for known types. But let's see how big the difference really is..."
+ "We expect the string `.format()` method to perform slower than %, because it is doing the formatting for each object itself, where formatting via the binary % is hard-coded for known types. But let's see how big the difference really is..."
]
},
{
@@ -128,21 +129,16 @@
"input": [
"import timeit\n",
"\n",
- "def test_format():\n",
- " return ['{}'.format(i) for i in range(1000000)]\n",
+ "n = 10000\n",
"\n",
- "def test_binaryop():\n",
- " return ['%s' %i for i in range(1000000)]\n",
+ "def test_format(n):\n",
+ " return ['{}'.format(i) for i in range(n)]\n",
"\n",
- "%timeit test_format()\n",
- "%timeit test_binaryop()\n",
+ "def test_binaryop(n):\n",
+ " return ['%s' %i for i in range(n)]\n",
"\n",
- "#\n",
- "# Python 3.4.0\n",
- "# MacOS X 10.9.2\n",
- "# 2.5 GHz Intel Core i5\n",
- "# 4 GB 1600 Mhz DDR3\n",
- "#"
+ "%timeit test_format(n)\n",
+ "%timeit test_binaryop(n)"
],
"language": "python",
"metadata": {},
@@ -151,8 +147,8 @@
"output_type": "stream",
"stream": "stdout",
"text": [
- "1 loops, best of 3: 400 ms per loop\n",
- "1 loops, best of 3: 241 ms per loop"
+ "100 loops, best of 3: 5.67 ms per loop\n",
+ "100 loops, best of 3: 3.9 ms per loop"
]
},
{
@@ -165,6 +161,79 @@
],
"prompt_number": 3
},
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "funcs = ['test_format', 'test_binaryop']\n",
+ "\n",
+ "orders_n = [10**n for n in range(1, 6)]\n",
+ "times_n = {f:[] for f in funcs}\n",
+ "\n",
+ "for n in orders_n:\n",
+ " for f in funcs:\n",
+ " times_n[f].append(min(timeit.Timer('%s(n)' %f, \n",
+ " 'from __main__ import %s, n' %f)\n",
+ " .repeat(repeat=3, number=1000)))"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [],
+ "prompt_number": 55
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "%pylab inline"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [],
+ "prompt_number": 7
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import matplotlib.pyplot as plt\n",
+ "\n",
+ "labels = [('test_format', '.format() method'), \n",
+ " ('test_binaryop', 'binary operator %')] \n",
+ "\n",
+ "matplotlib.rcParams.update({'font.size': 12})\n",
+ "\n",
+ "fig = plt.figure(figsize=(10,8))\n",
+ "for lb in labels:\n",
+ " plt.plot(orders_n, times_n[lb[0]], alpha=0.5, label=lb[1], marker='o', lw=3)\n",
+ "plt.xlabel('sample size n')\n",
+ "plt.ylabel('time per computation in milliseconds [ms]')\n",
+ "plt.xlim([1,max(orders_n) + max(orders_n) * 10])\n",
+ "plt.legend(loc=2)\n",
+ "plt.grid()\n",
+ "plt.xscale('log')\n",
+ "plt.yscale('log')\n",
+ "plt.title('Performance of different string formatting methods')\n",
+ "ftext = 'binary op. % is {:.2f}x faster than .format()'\\\n",
+ " .format(times_n['test_format'][-1]\\\n",
+ " /times_n['test_binaryop'][-1])\n",
+ "plt.figtext(.14,.75, ftext, fontsize=11, ha='left')\n",
+ "plt.show()"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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jBgBAT08Pd+/eBQDMmDEDv/32G5o2bQo/Pz8MHjwYycnJ0NHRKVX8w8PDMWzY\nMMyePRuenp6IiorC1KlTy90XmKqH19iSPxzzqic2Nhn+/vGIiemOFy9C0K1bNwQEnIKnJyrtqREj\nm8rq3yzkCpCVJTtJKZGUP3mZkyO7bWZmxRKiYrEYBgYGUFBQgKamJvT19QEAmzZtwrNnzxAeHo66\ndesCAHbu3AljY2Ps3LkT7u7uAHIfcy5btgwdO3aUsmtqaoqff/4ZQO44sWXLluHx48dC1snMzAzL\nly/HqVOnBCHn6ekpZWPz5s3Q09PDtWvX0L59e+jp6QHIfT1anp8AEBcXB11dXWhoaBQ6P2NjY3z4\n8AHJyckwMzMrMg5qamrYsGEDFBUVYW5uju7du+PKlSt4+PAhlJSUYG5ujp49e+LUqVMYP3483r59\ni6VLl2Lfvn3o2bMnAMDIyAiLFi3C1KlTsXDhQujq6haKa358fHyEtr/88gsCAgJw9epV9OjRA9u3\nby8y/rt27YKbmxuWLVuG9u3bw8/PDwDQrFkzPHr0SGqcIMMwTFXzzz8JiInpjuxsQCIBoqKANm0q\nnmhg5EetFnJFvaKrOJSUcmSWKyjILi8NYrHstsrK5bdZHNHR0bCyshJEBADo6+vD3NwcMTExUnUL\nZsJEIhHs7OykyurXr48GDRoUKktNTRW2IyIi4Ovri8jISDx79kwYC5ecnIz27dsX6Wt6ejq0tLRk\n7tPW1gYAvHz5ssj2AGBpaSk1ts/AwADm5uZSWTwDAwPcvn0bQG583r17hwEDBkiNg5NIJPjw4QPS\n0tJQr169Yo9pb28v/F9fXx8KCgpISUkR7BcV/+joaAC5j2Z79OghZbOgoGY+LTgzJH845lXLo0fA\nhQtiZGfnbuvpOaNFC0AkqniigSmZvP5d0Vd01XohV1ZcXJoiIOAUnJ0/Pgr98OEUPD3NYG5ePj9i\nY3NtqqhI2+zevegsU0WRNamgYJmCggKUlZUL1Sv4GFMkEsl8tJmTkytE3759i549e8LJyQkBAQEw\nMDAAEcHKygqZmZnF+qmjo4PXr1/L3Jeeni7UKY6CEzREIpHMsjx/8/7ds2cPmjdvXsierq5usccD\nIDNueXaBkuPPC/gyDFOdPHwI/P33x/uWoiJgZwfk/V1dVYkGpjB5CafyrpLAkrsA5uZG8PQ0g77+\naejohEBf//T/ibjyp5irwmZxWFtbIyYmBmlpaUJZSkoK4uLiYG1tXSnHyJ/JunXrFp49ewY/Pz84\nOTnB3NzUXLAuAAAgAElEQVQcz58/lxIqecInbzJBHs2aNcOLFy+QkZFR6BjJyclQUVEpcTZuWWeX\nWllZQVVVFQkJCTA1NS30EYvFgs8F/S0NpYl/ixYtCq0Xd/78+TIfi5EfvMaW/OGYVw15Iu79e8DU\ntClEolOwswPS0kIA5CUamlavk58BldW/a3VGrryYmxtVusiqLJtr166Fv78/bt26JZQVzOwMGzYM\nCxcuxODBg7F06VLk5ORgxowZMDQ0xODBg4u1T0SF7JVUZmRkBBUVFaxevRo//PADkpKSMGfOHCmB\npaenB01NTRw/fhyWlpZQUVGBrq4u2rdvD0VFRVy9ehVdu3aVOsalS5fQvn17mdmvgr6UBU1NTcyd\nOxdz586FSCRC9+7dkZ2djZs3byIiIgK//PILAMDExARhYWG4f/8+1NTUSnzcmkdp4j99+nQ4OjrC\ny8sLI0aMQHR0NJYvX16m82AYhikrDx7kirgPH3K3Gzc2wuDBwM2bp/Hhww3o6+ege/eqSzQwlQ9n\n5GoYaWlpiIuLkyormJFSVVXFiRMnoKKiAicnJzg7O0NLSwvHjh2TeuQoK5MlEokKlZdUpqenh8DA\nQPz777+wtrbGrFmzsGzZMiGzBeROzPD390dQUBAaN26MVq1aAQC0tLTQr18/7Nu3r5Av+/btg5ub\nW7HxKI+/AODl5YXly5djw4YNsLe3R+fOnbFq1SqYmJgIdXx9ffHy5UuYm5vDwMAA9+/fF2wVR2ni\n37JlS2zfvh07d+6Era0tfvvtN6xYsYLXrvuE4fFa8odjXrncvy8t4tTVAQ8PoHNnI0yc2A1r107D\nxIndWMTJicrq3yKqpQN1ihuDxOOTPi3Onz+Pb7/9FsnJyVBXVwcAnDt3Dq6urkhKSpJaKJiRDfdp\nhmGK4/59IDCwsIgzMKhev5iPlPc+zhk5ptrp2LEjOnfuDH9/f6Fs4cKF8PX1ZRHHfDLweC35wzGv\nHO7dk52JKyjiON7yhcfIlYLyLD/CVA979+6V2v7333+ryROGYZjaQ3IysG0bkLeAgIZGroiTsTwm\nU01UdPkRfrTKMLUA7tMMwxSERVzNorz38VqdkWMYhmGYz5GkpFwRl/eKaU3NXBH3xRfV6hZTBfAY\nOYZhmFLA44fkD8e8fCQmFhZxnp4liziOt3zhMXIMwzAMw0iRmAhs3/5RxGlp5Wbi/u911zKJjY/F\ngUsHEBcdh+iUaLi0coG5WTlfZcTIHR4jxzC1AO7TDMPcvZsr4vLenaqllZuJK24t89j4WKw7sQ4x\nWjEQiUSwr28PUaIInl09WczJGV5+hGEYhmE+UxISpEWctnbJIg4ADlw8gGitaHyQfMD77Pe4kXID\nymbKOHX9VJX7zFQOLOQYhmFKAY8fkj8c89IRHw/s2FF2EZf2Ng1hD8KQKcmd1pp+Ox3N6jaDSCRC\nZk5m1TrNVFr/ZiFXw3B2dsbYsWOLrePp6YkePXrIySOGYRimuoiPB3bu/Cji6tTJFXF16xbf7tnb\nZwiICEC2JLehWCSGqa4pdNV0AQDK4uLfcc18OtRqIefj41Pr/qKT9R7RgqxZswZ79uyRk0e1l8WL\nF0u9e7UqOH36NCwtLaGtrY3+/fsjPT1dar+rqyuWLl1apT4wpYMXFpc/HPPiuXNHOhNXVhH3OvM1\nTE1NkZOQA1sDW9i0tQEAfLjzAd1bdq9a5xmhf4eEhMDHx6fcdmq9kPscbwRaWlqoU6dOlR8nM7Nm\npt6z8qZzVfMxc3JyMGTIEIwePRrXrl3Ds2fP4OfnJ+zfs2cP7t+/jxkzZsjTVYZhagBxcbmZOIkk\nd1tHJ1fE6eoW3y71TSoCIgKQkZkBAGhg2ADeA7zR/FVz6DzRgf5TfZ7oIGecnZ1ZyFU2sfGx8N/l\nj5U7V8J/lz9i42M/KZsSiQRz5szBF198gTp16mDcuHH4kPcSPRR+tJq3vX79ehgZGaFOnTro168f\nnj59KtRJTEzEgAED0KhRI2hoaMDW1haBgYFSx3V2dsaYMWMwf/58NGzYEEZGRvD19YWFhUUhH0eN\nGgUXF5cizyErKwtz5syBoaEhVFRUYGVlhR07dkjVEYvFWL16Nf73v/9BU1MThoaGWL16tVSdjIwM\nTJ06FYaGhtDQ0EDLli2xb98+YX9SUhLEYjG2b9+Or776CpqamliwYAEAYOzYsTAzM4O6ujqaNm2K\nefPmCeI0ICAACxYsQHJyMsRiMcRiMRYuXAgAeP36NcaNGwd9fX2oqqrC0dFR6pVixR0zP2lpaXj2\n7BmmTJmC5s2bY9iwYYiJiQEAPH/+HD/++CM2b95cYgaWkQ+1LbtfE+CYyyY2Fti1q3wibkvkFkHE\nKSsow83WDd0dumPioImwr2+PiYMmsoiTEzxGroqIjY9FwJkApBqk4mX9l0g1SEXAmYAKCa/KtElE\n2LNnD168eIGwsDBs27YN+/fvx08//STUkfX49erVqzh79iyOHj2K48eP4+bNm1KZnjdv3sDFxQXH\njh1DVFQUvvvuO4wcObJQRwsKCkJaWhpOnz6NkydPYsyYMUhISEBoaKhQ5/Xr19i9ezfGjRtX5HnM\nnTsXGzduxKpVqxAdHQ03Nze4ubnh9OnTUvV8fX3RrVs3REREYNasWfjxxx8RHBwsxKJv3764efMm\ngoKCEB0djQkTJmDIkCGF7MyePRvu7u6Ijo7G+PHjQUQwMDDAjh07cPv2baxcuRKbN2/GkiVLAABD\nhgzB7NmzYWhoiCdPnuDJkydCvEaNGoV///0X27ZtQ2RkJDp27Iivv/4asbGxRR5TViz09PTQsGFD\nHDlyBFlZWThx4gTs7e0BAFOmTMHYsWPRokWLImPIMMznR2wsEBT0UcTp6uaKOB2d4tsVzMQpKyhj\nuM1wGOkYVa3DTJXD68gVwH+XP1INUhGSFCJVrvFAA46dHMvly5WwK3hr+FaqzNnYGfpP9TFx0MQy\n2XJ2dsa9e/eQkJAgiLUNGzZgypQpeP78OdTU1ODp6YmHDx8KWSJPT08cO3YM9+/fh5KSEgDgt99+\nw8qVK/Ho0aMij/Xtt99CX18f69evF4795MkT3L59W6pev379oK2tjb///hsA8Oeff2LBggV4+PAh\nFBULrzn99u1b1K1bFytXrsT48eOF8gEDBiA9PR2nTuVOexeLxXB3d8eWLVuEOsOHD8f9+/cRGhqK\nkJAQ9O7dGykpKdDW1hbqjBo1Ci9evMC+ffuQlJQEU1NTLFq0CPPmzSs2titWrMAff/yBuLg4ALlj\n5DZt2oTExEShTnx8PJo3b44jR46gV69eQnmrVq1gb2+PTZs2lemYFy9exA8//IDHjx/D2dkZ/v7+\nCAkJwfz583Hq1ClMnz4d586dg42NDdavXw/9Il6SyOvIMUzt5/ZtYPfuwiKupJE0T988xZaILXiT\n9QbAx0xckzpNqtZhpkzwOnKVRBbJHj8lgaTcNnOQI7O8vNO727RpI5Vx69ChAz58+ICEhIQi21hY\nWAgiDgAaNGiAlJQUYfvt27eYM2cOrK2tUa9ePWhpaeHIkSO4d++elJ1WrVoVsj1u3Dj8888/wkD9\nDRs2wMPDQ6aIA3LFUGZmJpycnKTKnZycEB0dLVXWvn17qe0OHToIda5evYrMzEw0atQIWlpawmfb\ntm2Ij4+XatemTZtCfmzYsAFt27ZF/fr1oaWlhblz5xY634LkPfosje+yjlmQ9u3b4+LFi0hKSkJA\nQACys7MxefJk/PXXX/j5558hkUgQHx8Pc3NzTJkypUR7DMPUTm7dks7E1a3LIo7JhYVcAZRESjLL\nFaBQbpviIsJc3und5VHs+UUcUFj5z5w5E9u2bRNm+kZEROCrr76SGnsnEomgoaFRyHavXr2gr6+P\nrVu3IiIiAtevXy9xiZTKICcnB3Xq1EFkZKTU59atWzh69KhU3YJ+7969G99//z2GDh2Ko0ePIiIi\nAgsWLCj3BA5Z10RWrErixx9/xPDhw2Fvb49Tp05h2LBhEIlEcHd3x8mTJ8vlG1M58Hgt+cMxzyUm\nJjcTl/N/OYHSiriUjBQERAQIIk5FQQXutu5FijiOt3zhd61WES6tXBBwJgDOzZyFsg93PsBzSPln\n8cQa5o6RU2mmImWze9fyTe++evUqcnJyIBbnCsQLFy5ARUUFTZs2LbJNSQPmz507Bzc3N7i6ugLI\nFUmxsbFo0KBBif6IxWKMHTsWGzZswO3bt9GlSxc0a9asyPpmZmZQUVHB2bNnpcaAnT17FjY2NlJ1\nL168KPX49cKFC7CysgIAtG7dGi9fvsS7d++EstISGhoKBwcHTJs2TSjL/wgVAJSVlSGRSGdi845z\n9uxZ9O7dW8qerGxlWTh58iQuX76M69evA8i9BnnCMjMzEzk5sjO7DMPUXqKjgX/++Sji6tXLfXdq\nvtEkMknJSMGWyC14m5U7rEdFQQVutm5oXKdxFXvMyBsWcgUwNzOHJzxx6vopZOZkQlmsjO5du1do\nFk9l20xLS8OkSZMwdepUJCQkYMGCBRg/fjzU1NSKbFNSFs/c3Bz79+/HgAEDoKGhgeXLl+Px48eo\nX7++lI2i7IwePRq+vr6Ii4vD5s2biz2Wuro6pkyZgvnz5+OLL76Ara0t9uzZg+Dg4EJZp8OHD8Pf\n3x89e/bEsWPHEBQUJKyR1717d7i4uGDAgAH47bffYGNjgxcvXuDChQtQU1PDmDFjivTBwsICf/31\nF4KDg2FlZYVDhw5JzXYFAFNTUzx58gSXLl2CmZkZNDQ00LRpUwwcOBATJ07En3/+iSZNmuCPP/5A\nTEwMdu7cWex5F0dGRgYmTJiA7du3C9lTJycnrF27FhYWFli+fPlnuZTOpwTHX/587jGXJeI8PXPf\noVocTzKeYGvkVikR527nDkNtw2Lbfe7xljeVFW8WcjIwNzOv9OnXlWVTJBJh4MCB0NLSQqdOnZCZ\nmYkhQ4bgl19+kaqTPwNX1CLC+ctWrFiBMWPGoGvXrtDW1sa4cePg6uqKu3fvlmgHAOrXr48+ffog\nLCxMyOoVh5+fH8RiMaZNm4bU1FQ0a9YM27ZtQ9euXaXqLViwACdPnsSsWbOgo6ODpUuXol+/fsL+\n4OBg+Pr6Yvr06Xj48CHq1q0LBwcHzJo1S+Z55jFu3DjcvHkTI0eORHZ2Nvr27QsfHx+pcWjffvst\nBg4ciD59+uDFixfw8fHBggULsHHjRsycORNubm549eoVbG1tcejQITRv3rzYYxbHTz/9hP79+8PR\n8eOEGm9vb3h6esLR0REtW7YstBwMwzC1l6goYO/ejyJOTy83E1caEbclYgveZb8DUHoRx9RceNYq\nU2m0adMGnTt3xrJlyyrFnlgsRmBgIIYNG1Yp9moz3KernpCQEM5YyJnPNeY3b+aKuLyvtJ5ebiZO\nU7P4do9fP8bWyK2CiFNVVIW7rTsaaTcq1XE/13hXFwXjXd77eK3OyOW92YE7ZtXy7NkzHDp0COHh\n4QgKCqpudxiGYWosN24A+/Z9FHFffJGbiSuPiBthNwINtRpWscdMRQkJCanQxAfOyDEVRiwWo27d\nuli8eLHUxITKsMsZudLBfZphaj6RkcD+/R9FnL4+MGJEySLu0etH2Bq5Fe+z3wNgEVdT4YwcU21U\n1WxKnqXJMMznQkQEcOCAtIjz8ABKWsWooIhTU1TDCLsRaKBV8ooDTO2A15FjGIYpBbzGlvz5XGJe\nUMQZGJROxD189bBSRdznEu9PBV5HjmEYhmFqOOHhQHBwYRGnrl58uzwR90GSu2g7Z+I+X3iMHMPU\nArhPM0zN4/r1XBGXR/36uWPiShJxD149wN+RfwsiTl1JHSPsRqC+Zv3iGzKfNDxGjmEYhmFqCP/9\nBxw8+HG7QQPA3Z1FHFN2Pssxcrq6usLitvzhT2346OrqVvfXqtbD44fkT22N+bVrhUVcaTJx99Pv\nFxJxHnYelSbiamu8P1V4jFwFeP78eXW7UCvhxSTlC8ebYWoeV68Chw9/3G7YMDcTV8wbFgEA99Lv\nIfBGIDIlue9fzhNxBpoGVegtUxP4LMfIMQzDMIy8uXIFOHLk43ajRrkiTlW1+HYFRZyGkgY87D2g\nr6Ffhd4y8qa8uuWzzMgxDMMwjDy5fBk4evTjdmlFXPLLZGy7uY1FHFMkn+UYOaZq4PEV8oXjLV84\n3vKntsT80iVpEWdoWD4Rp6msCU97zyoTcbUl3jUFHiPHMAzDMJ84Fy8Cx49/3G7cGHBzA1RUim+X\n9DIJ229ulxJxHnYe+ELjiyr0lqmJ8Bg5hmEYhqkCKiLitt3YhqycLAAfM3F66npV6C1T3fAYOYZh\nGIb5RLhwAThx4uN2kybA8OEli7jEF4nYfnO7IOK0lLXgYe/BIo4pEh4jx1QaPL5CvnC85QvHW/7U\n1JifPy8t4oyMyi/i5JmJq6nxrqnwGLlS4OPjA2dnZ15ri2EYhpELYWHAyZMft/NEnLJy8e3uvriL\n7Te3IzsnG8BHEVdPvV4Vest8CoSEhFRI1PEYOYZhGIapBM6dA06d+rhtbAwMG1Z2Eaetog0POw8W\ncZ8ZPEaOYRiGYaqJ0FDg9OmP2yYmwNChJYu4hOcJ2BG1Q0rEedp7oq5a3Sr0lqlN8Bg5ptLg8RXy\nheMtXzje8qemxPzs2cIirjSZuPjn8VIiro5KnWoVcTUl3rUFHiPHMAzDMNVMSEjuJw9T09xMnJJS\n8e3in8djZ9TOQiJOV023ynxlaic8Ro5hGIZhyghRroA7e/ZjWdOmwJAhJYu4O2l3sDNqJyQkAcAi\njsmFx8gxDMMwjByQJeLMzIDBg8su4nRUdeBh58Eijik3PEaOqTR4fIV84XjLF463/PkUY04EnDlT\nWMSVJhMXlxZXSMR9Spm4TzHetRkeI8cwDMMwcoQod1LDuXMfy5o1y83EKZbwaxr7LBZB0UGFRJyO\nqk4Vesx8DvAYOYZhGIYpAaLcNeLCwj6WNW8ODBpUdhGnq6oLT3tP1FGtU4UeMzUNHiPHMAzDMFUA\nUe7bGs6f/1hmbg4MHFiyiLv97DZ2R+9mEcdUGTxGjqk0eHyFfOF4yxeOt/z5FGJOBPz7r7SIs7Ao\nXSbuVuotqUxcXbW6n7SI+xTi/TnBY+QYhmEYpgohAk6cAC5e/FhmYZGbiVNQKL7trdRb2B2zGzmU\nA+CjiNNW0a5Cj5nPER4jxzAMwzAFIAKOHwcuXfpYZmkJuLqWLOJiUmOwJ2aPIOLqqdWDh70Hizim\nWHiMHMMwDMNUAkTAsWPA5csfy1q0AP73v5JFXPTTaPxz6x8WcYzc4DFyTKXB4yvkC8dbvnC85U91\nxJwIOHpUWsRZWZVfxNWkx6ncx+ULj5FjGIZhmEqECDhyBLh69WOZtTUwYAAgLiHtEfU0Cntv7RVE\nnJ66HjzsPKClolWFHjMMZ+QExGIx3r59K3Ofg4MDPnz4IGePqo5x48bB1tYW3bt3x6tXrwAAHz58\nQJcuXfDy5csi2/Xp0weJiYlF7nd2dpbajoiIQMeOHaGhoYGBAweWyrdRo0YVeS2K21cSf/zxBywt\nLdGqVStkZGSUuf2BAwdwNf/dvQIkJydjw4YNUmXGxsaIiYkpk52C8S4LXl5esLS0RJcuXcptoyLI\niuf79+/RunVr4fo6OTnh/v371eGeTCoSb6Z8yDPmRMDhw+UXcf/E/CMl4jztPWuciOM+Ll8qK94s\n5PJR1CDD8PBwqKioVNpxJBJJpdkqK1FRUYiPj8eNGzfg7OyMv//+GwDwyy+/YNy4cdDRKXqV8cOH\nD8PExKTUxzIwMMCKFSuwYsWKUtU/ePAgxGIxRCJRmfaVhjVr1iAwMBD//fcfNDU1y9x+3759uHLl\nSrmOnZOTI7WdmJiI9evXS5XJe3LO8uXLERYWhrP53zNUAgXPoyLIiuf69evRt29fqKurAwC+//57\nLFmypNKOyTBFQQQcOgRcu/axzMamdCLuZspN/BPzDwi5398v1L+Ap70nNJXLfp9hmPLAQi4fS5cu\nhYODAywsLLB3716hPH8WyNjYGN7e3ujQoQNMTEzg7+8v1Js5cybatGkDe3t7uLi44N69ewCApKQk\n6OnpYebMmWjVqhU2btyIhg0b4smTJ0LbKVOm4Oeffy7kU0ZGBkaOHAkbGxvY2Nhg6dKlwj5nZ2dM\nnz4dbdu2RbNmzTBv3rwSz1FJSQkfPnxATk4OMjIyoKKigri4OFy7dg3Dhg0rtm3+rJGvry8sLS3h\n4OCAli1bIj09vdDz/gYNGqBNmzZQVlYu0a+0tDQsXLgQy5cvLyRoitp39uxZNG/eXMgqjhw5Ej/9\n9FMh24MHD0ZCQgLc3Nzg7u4OiUSCXr16wdHREdbW1hg1ahSysrIAABcuXECrVq3g4OAAa2tr7Ny5\nEydOnMDBgwfxyy+/wMHBAYGBgQCALVu2oF27dmjdujW6d++OuLg4AEBAQABcXFwwYMAA2NjYICoq\nSsqfSZMmISYmBg4ODhg0aJBQHhQUVKZ+tXPnTujp6cHLywstW7aEhYUFzudf7KoIOnfujPfv36Nb\nt26YNWsWAODXX38V+tioUaPw5s0bAICPjw8GDhyIL7/8EtbW1oiIiICenh7mzp2Lli1bwtLSEteu\nXcPo0aNha2uLdu3aISUlBQBw8+ZNODk5oVWrVrCyssKqVasAAMePH5cZz40bN2Lo0KGCn3379sW+\nffuQmZlZ4jnJAx4/JH/kEXMi4OBB4L//PpbZ2gL9+5cs4m6k3MDeW3ulRJyHvUeNFXHcx+VLpcWb\nahjp6enk6OhImpqaFB0dXWS9sp6aSCSiRYsWERFRbGws1atXj1JTU4V9b968ISIiY2NjmjlzJhER\nJSUlkaamprDv2bNngr0NGzbQkCFDiIgoMTGRRCIRBQUFCfvnzJlDvr6+RET0+vVr0tfXF46Xn1mz\nZpGnpycREb169YqsrKzo6NGjRETUpUsX+vLLL0kikVBGRgbZ2NjQoUOHSjxXLy8vsre3p0GDBtGb\nN2+oT58+FB8fX2I7Y2Njio6OprS0NNLR0aH3798TEVFGRgZlZ2fTmTNnZLbbvHkzubq6Fmt78ODB\ndOTIESKSjndJ+xYtWkSurq60ZcsW6tSpE0kkkmJ9zyMtLY2IiHJycsjd3Z3WrVtHRET9+vWjHTt2\nCPVevnxJRESenp7k7+8vlIeGhlKfPn3ow4cPRER05MgR6tixo3C+mpqadPfuXZm+hISEUOvWrQv5\nV9Z+tWPHDhKJRHT48GEiItq2bZvgQ0nkj+ORI0fI2tqaXr9+TUREI0aMoNmzZxMRkbe3NzVp0kSI\nV15fzrseS5cupTp16lBkZCQREU2cOJG8vLyIKLdf58Xn9evX1KJFC7p9+7bMeD59+pTq1q1byM8O\nHTpQaGhoqc6pqimqfzNVR1XHPCeHaP9+Im/vj5+9e4mKuI1IEfkkknzO+JD3GW/yPuNN/lf8KeND\nRpX6W9VwH5cvBeNdXklW4zJy6urqOHLkCFxdXSv9UdTo0aMBAM2bN0fLli1xKf8CQvkYMmQIAMDI\nyAi6urp48OABAODIkSNo3749bGxssGzZMkRERAhtVFVVpcaJTZo0CZs3b4ZEIkFgYCC+/PJL6Onp\nFTrWqVOnMHbsWACAlpYWhg4dipMnTwLIfRzn4eEBsVgMDQ0NDBkyBKdPny7xPBctWoTw8HDs2rUL\ne/bsQbt27aCoqIhhw4bB1dUVZ86cKba9jo4OzMzM4O7ujo0bN+L169dQUFAo9/P+oKAgqKiooHfv\n3sI1zfu3uH0AMG/ePKSlpWHGjBnYsWMHxCX9CY3cR9t52Vc7OzucOXMGkZGRAICuXbti8eLF8PPz\nw5UrV1CnzscV2PMf9+DBg4iMjETbtm3h4OCAn376SegHANCpU6ciH0MX1W/L2q/atWsHTU1NfPXV\nVwCAtm3bIiEhocTzL8jJkycxdOhQ4ZHzd999J/QxIHdsZN26dYVtTU1N9O7dG0Du+NHGjRvD1tYW\nANCqVSvEx8cDAN68eYNRo0bB1tYWnTp1wqNHj4Q4F4xDYmIiGjZsWMg3Q0ND3L17t8znVBXw+CH5\nU5Uxz8kBDhwAwsM/ltnbA/36lZyJi3wSiX239gmZOH0NfXjYeUBDWaPK/JUH3Mfly2c7Rk5RUVGm\n4KkMSisMVVVVhf8rKCggOzsbycnJ+OGHH7Bz507cvHkTmzZtwvv374V6GhrSX3BDQ0O0bt0a+/fv\nx++//45JkyaVyi8ikhonVty+knj+/Dk2bdqE2bNnw8vLC+PHj0dAQAAmT55cbDuxWIxLly7h+++/\nx4MHD9CqVSvcvHmzyPol+XT27FmcPn0aJiYmMDU1BQBYW1vj1q1bRe67ffs2AODly5e4d+8eVFVV\nkZaWVqrz3r59O86fP4+wsDDcuHEDEydOxLt37wAAU6dOxcGDB/HFF19g8uTJmD9/fpHnMWrUKISH\nhyM8PBwRERFISkoS9pVnHF55+lX+sZt5bcpKwfF5Bb8HBftuwWPm91ssFgs+zJ07Fw0bNkRERAQi\nIiLQpk0bKd9L01fLOyaSYYojJwcIDgby/a0NBwfgm29KFnERTyKw//Z+QcQZaBjUChHH1FxqnJCr\nSjZv3gwAuHPnDsLDw9GuXbtSt3316hWUlZVhYGCAnJwcrFu3rsQ2kydPxrRp06CsrIy2bdvKrOPi\n4oJNmzYBAF6/fo1du3ahR48eAHJ/cAMDAyGRSPDmzRvs3r0b3bp1K7XPs2bNwuLFi6GkpCSMARSJ\nRML4qKLIyMjA06dP4eTkBB8fH1hbWyM6OrrI5/0lCWR/f3/cv38fiYmJwqzY6OhoWFpaFrnPwsIC\nQO64uO+++w4BAQEYMmRIqWakpqenQ09PDxoaGkhPT8e2bdsEwRAXFwcTExN89913mDJlijCzUltb\nW2pGb9++fbF161Y8fPgQQG6W7/r16yUeO89Wenp6qeoW16+KyhiXFRcXF+zatQsZGRkgImzcuBE9\ne5h1ZKsAACAASURBVPassN309HQYGhpCLBYjKioK586dE/YVjKexsTEePXpUyMaDBw/KNMGmKuHx\nQ/KnKmKel4nLL+Jatiy9iDtw+4C0iLOvPSKO+7h8qax4V5uQW7t2LVq3bg1VVVWMHDlSat/z58/R\nv39/aGpqwtjYGDt27JBpo7L/WpdIJGjZsiX69u2L9evXC5m/0hzHxsYGAwcORIsWLdCuXTuYmppK\ntZNlw8nJCWpqapg4cWKRdufPnw8igo2NDTp06IARI0YIP7IikQgWFhbo0KED7O3t8fXXXwuP2by9\nvfHnn38WaTcsLAxA7sB3AJgzZw6mTJkCR0dHLFiwoNhzTU9PR//+/WFnZwcbGxs0aNAAAwYMKFQv\nKSkJjRs3xo8//ogjR46gcePGglgODg4WHhkXpLh459+3cuVKZGZmYtasWejWrRsGDhyI7777rljf\nAWDEiBF4/fo1LC0t8c0330gtwbFmzRpYW1ujZcuW8Pf3h5+fHwDA3d0d27dvFwbnd+7cGX5+fvjm\nm29gb28PGxsbBAcHCz4Wdw52dnYwNzeHjY2N1GQHWZS1XxV13D///BPe3t4y6/Xq1Qtubm5o3749\nbG1tIRaL4eXlVeS5FDx+UdteXl7YsGED7Ozs4OvrKxXngvHU19dHgwYNhAkjQO5yJHfu3CnyjxyG\nKSs5OcD+/UC+J/xo2RLo2xco6TYf/jhcSsTV16wPD3sPqCupV6HHDFMy1fau1X379kEsFuP48eN4\n9+6d8AMPQJi5tmnTJoSHh6NPnz64cOECWrRoIdQZOXIkZsyYASsrK5n2a8K7VhMTE9GpUyckJCRI\nPZ4qLV27dsXMmTMF8cYwNZmVK1ciPT1dEJxBQUE4ffp0qbLbDFMSOTnAvn1A/lEgrVoBX39dsoi7\n/vg6gmODhe36mvUxwm4EizimUimvbqm2jFz//v3Rr18/1KtXT6r8zZs32Lt3LxYtWgR1dXV07NgR\n/fr1E9Y7A4CvvvoKJ06cwNixY7FlyxZ5u14pLFiwAE5OTli+fHm5RBzD1DbGjx+PgwcPCo/5165d\nW6oldRimJHJygL17pUVc69alE3H/PfpPSsQ10GzAIo75pKj2V3QVVJ9xcXFQVFSEmZmZUGZnZyf1\nLPnIkSOlsu3p6QljY2MAuTMt7e3thVkiefaqa7tbt27o1q1bhex5e3t/MucTEhKCiIgITJs27ZPx\np7Zv18Z4X/u/FVlDQkKwcOFCNG7c+JPxrzbG+1PfziuriL2cHGDhwhAkJQHGxrn7VVRCoKEBiETF\nt9dqroWDcQeRFJEEAGjfqT1G2I3A5fOXP4n4fIrx5u3Sb0dERODly5dSE+XKQ7U9Ws1j/vz5ePDg\ngfBo9dy5cxg0aBAeP34s1NmwYQO2b99e4rIY+akJj1ZrGyEhIUJHZaoejrd84XjLn4rGXCLJzcRF\nR38sa9MG6N275EzctUfXcCjukLDdUKsh3G3doaakVm5/PnW4j8uXgvEur2755DJympqawkr9eaSn\np0NLq2a9s+5zhG8A8oXjLV843vKnoiLun3+A/K8wbtsW6NWrZBF39eFVHL5zWNj+HEQcwH1c3lRW\nvMWVYqUCFJwR17x5c2RnZwuLigJAZGQkrK2t5e0awzAMUwORSIA9e6RFXLt2pRNxVx5ekRJxjbQa\nYYTdiFov4piaS7UJOYlEgvfv3yM7OxsSiQQfPnyARCKBhoYGBgwYgAULFuDt27cICwvDwYMH4e7u\nXuZj+Pj4SD37Z6oWjrV84XjLF463/ClPzCUSYPdu4Natj2Xt2wNfflk6EXfkzscx2I20GsHdzh2q\nip/HhDTu4/IlL94hISHw8fEpt51qE3J5s1J//fVXBAYGQk1NTViz6/fff8e7d++gr68PNzc3rFu3\nDpaWlmU+ho+PD6eKGYZhPhMkEiAoCPi/F78AADp0AHr2LFnEXX5wWUrEGWobflYijqk+nJ2dKyTk\nqn2yQ1XBkx0YhmE+H7KzczNxsbEfyzp2BFxcShZxlx5cwrH4Y8K2obYh3G3doaKoUkwrhqlcauxk\nB4ZhGIapCNnZuZm4fC8GQadOQPfuJYu4i/cv4njCcWG7sXZjuNm6sYhjagxFCrnSjklTUVHBxo0b\nK82hyiTv0So/XpUPPHVdvnC85QvHW/6UJubZ2cCuXcCdOx/LOncGunVjEVdWuI/Ll7x4h4SEVGh8\nYpFCLigoCHPnzi0yzZeXAly2bNknLeQYhmGY2kl2NrBzJ5BvkQM4OQFdu5Ys4i7cv4ATCSeE7SZ1\nmmC4zfDPVsQx1UdewsnX17dc7YscI9e0aVMkJCSUaMDc3Byx+QclfCLwGDmGYZjaS1ZWrojL/zPV\npQvg7FyyiDt/7zz+vfuvsG1UxwjDbIaxiGOqlfLqFp7swDAMw9QoZIk4Z+fcT0nIEnHDbYdDWUG5\n0v1kmLJQXt1SruVH7t69W+F3gzH/n707j46qyhY//q1MZCaBQCAhA2EKEEi0FRUBgwzagjLPJAy2\nz/617U/bntZqRYL2e/3eWz29ttf70a0yhHkSBRRQCCWjogIBQgiEQBJCGEJGMid1f3/cThXFlFtJ\n3UuG/VmLJXeHc+9hryLunHPuOW2P7EFkLMm3sSTfxrtXzmtrYd26phVxB3MO2hVxkQGRUsTdRj7j\nxnJWvjUVcjNnzuTw4cMALF++nIEDBzJgwIAWuzZOCCFE21NbC2vXQlaWLTZypLYi7kD2AfZk7bFe\nRwZEMnvQbCniRKunaWq1S5cu5OXl4eHhQUxMDP/4xz8ICAhgwoQJdkdptSQmk4nFixfLW6tCCNEG\n1NSoI3EXL9pizz6rvtzQmP3Z+0m5mGK97hnQk1mDZkkRJ1qEhrdWlyxZot8auYCAAIqLi8nLy2PI\nkCHk5eUB4OfnR1lZmeO9NoCskRNCiLahpkYdibt9Rc+oUeo2I435+tLX7Lu0z3rdM6AnswfNxt3V\n3fkdFaIZdF0jFxsbyx/+8Afee+89xo0bB8Dly5fp2LGjww8UbZesrzCW5NtYkm/jmc1mampgzRr7\nIm706KYVcVGBUVLEPYB8xo1l6Bq5jz/+mJMnT1JVVcX7778PwJEjR5gzZ45TOiGEEELcqaYGVq+G\n7GxbbMwY9dSGxpgvme2KuF6BvZgVM0uKONHmyPYjQgghWpSMjGx27rzAN9+4UFpqISqqF0FBEYwd\nC0OHPritoiiYL5n5Ovtra6xXYC9mxsyUIk60aLqftXrgwAGOHz9OWVmZ9WEmk4nf/e53Dj/UKHJE\nlxBCtC4ZGdl8/HEmZ8+OorRUjZ04sZef/xyGDo14YNt7FXG9O/VmxsAZUsSJFqu5R3Rpmlp9/fXX\nmTp1Kvv37+fs2bOkp6db/9uSNRRywhiyvsJYkm9jSb6N8cUXF6xFXHGxGYDo6FEUFj74pCFFUdh3\nad9dRZyMxGknn3FjNeQ7Pj6+WUeKahqRW716NWlpaYSEhDT5QUIIIcSDlJfD4cMu1pE4gN69oUcP\nqKm5/7iDoiikXEzhQM4Ba6xPpz7MiJmBm4vmiSchWiVNa+QGDx5MSkoKQUFBRvTJKWSNnBBCtB5l\nZbByJXzxRQoVFc8C0KcPhIaqX+/aNYWf/ezZu9opisLei3s5mHPQGuvbuS/TB06XIk60Krqukfv4\n44955ZVXmD17NsHBwXZfG6FlN0YhhBDiPoqL1SKuqAiionqRmrqXgQNH0a2b+vXq6r2MGtX7rnZS\nxAmhcURu6dKlvPHGG/j5+eHl5WX3tdzcXN061xwyImc8s9ksaxINJPk2luRbHzdvQnIylJSo1y4u\n8Oij2eTkXODMmZMMGDCYUaN60a+f/YsOiqKwJ2sPh3IPWWP9Ovdj2sBpUsQ1kXzGjXVnvnUdkXv7\n7bfZsWMHY8aMcfgBQgghxL1cv64WcbduqdeurjB9Ov8q2iIwm13uWVgoisJXWV9xOPewNRYdFM20\nAdNwdXE1pvNCtBCaRuTCw8PJzMzEw6P1nEsnI3JCCNFyXbmibvZbUaFeu7vDrFkQFfXgdoqi8OWF\nLzly+Yg1JkWcaAt0PaLrvffe48033yQ/Px+LxWL3qyVLSkqS16mFEKKFyclR18Q1FHEdOkBCgrYi\nbveF3XZFXP+g/lLEiVbNbDY3a/sRTSNyLi73rvdMJhP19fVNfrieZETOeLK+wliSb2NJvp3j4kVY\nuxZqa9VrLy+YO9f2durtbs95QxH3zeVvrF8f0GUAU/pPkSLOSeQzbixD18hlZWU5fGMhhBDidufO\nwcaNUFenXvv4QGIi3LEZwl0URWFX5i6+zfvWGpMiTgiVnLUqhBBCd2fOwJYt0DCJ4++vFnGNbU+q\nKAo7M3dyNO+oNTawy0Am958sRZxoU5y+Rm7RokWabrB48WKHHyqEEKL9SE2FTZtsRVxgICxYoK2I\n++L8F3cVcVMGyEicEA3uOyLn6+vLyZMnH9hYURR+9KMfUVxcrEvnmkNG5Iwn6yuMJfk2luS7ab7/\nHj7/HBq+HQcFqSNx/v73b5ORmcFX33/FzkM7UYIVoqKiCAoJIqZrDJP7T8bFpOk9PeEg+YwbS/c1\nchUVFfTuffdO2nfq0KGDww8VQgjR9h05Art3266Dg9W3U319798mIzODFftWkN0pmzyfPAJ6BHDi\nzAmmdZ4mRZwQ9yBr5IQQQjiVosCBA5CSYouFhqpvp95xONBd/r7+7xxyO0T+rXxrrKtPV0ZYRvDz\nGT/XqcdCPHy67iPXWsk+ckIIYSxFgb177Yu48HB1OrWxIs6iWDh29ZhdERfsE0z/oP7UKXU69ViI\nh6u5+8i1+UJO5vuNI0WzsSTfxpJ8N05RYNcuOGg7w55evdSRuMZW4dRb6tlyZgtXb121xkyXTEQH\nRWMymfBwaT0nC7VW8hk3VkO+4+PjpZATQgjxcFkssG0bfGvb6o1+/dRjtxo73bHOUsfGtI2k3Ugj\nKiqKusw6uvt2J7xjOCaTierz1Yx6dJS+fwEhWilZIyeEEKJZ6uvh00/h1ClbLCYGJk0C10Z2Camt\nr2VD2gYyCzOtsZC6EGpv1lKr1OLh4sGoR0fRr3c/nXovRMug68kO169fx8vLCz8/P+rq6khOTsbV\n1ZWEhIT7Ht8lhBCi7aurg82b4exZWywuDl56CRr730NNfQ1rT63lUvEla2xY+DBG9RyFyWTSp8NC\ntDGaqrDx48eTman+tPT222/zpz/9ib/85S+89dZbunZOtC6yvsJYkm9jSb7vVlsL69bZF3GPPw4T\nJjRexFXVVbEqdZVdETcycqRdESc5N5bk21jOyremEbnz588TFxcHwOrVqzl8+DB+fn4MGDCAv/71\nr07piBBCiNajuhrWroXsbFvs6adh9GhobDCtsraSVSdXcaXsijU2JmoMT4c/rVNvhWi7NK2RCwoK\n4vLly5w/f56ZM2eSlpZGfX09HTt25NatW0b002GyRk4IIfRRWQmrV0Neni02ciSMGNF4EVdeU05y\najLXyq9ZYz/u/WOe6PGETr0VonXQdY3c888/z/Tp07l58yYzZswA4MyZM/To0cPhBwohhGi9ysth\n1Sq4atslhLFjYejQxtuWVZexMnUlBRUFAJgwMb7veH4U8iOdeitE26dpjdxHH33EuHHj+MlPfsLv\nfvc7AG7evNmsfU9E2yPrK4wl+TaW5BtKS2H5cvsibtw4bUVcSVUJy08styviJkZPfGARJzk3luTb\nWIaukfP09OTVV1+1i8lGu0II0X4UF8PKlVBUpF6bTOpLDf9aPv1AhZWFJKcmU1xVDICLyYUp/acw\nsOtAHXssRPtw3zVyCQkJ9n/wXwsfFEWxey08OTlZx+41nclkYvHixcTHx0vRKYQQzXDzplrElZaq\n1y4uMGUKDNRQhxVUFLDyxErKasoAcDW5Mn3gdPoFyb5wQoA6Mmc2m1myZEmT1sjdt5BLSkqyFmwF\nBQWsXLmSF198kYiICLKzs9mxYwfz5s3jb3/7W/P+BjqRlx2EEKL5rl+H5GRoeK/NzQ2mT4e+fRtv\ne+3WNZJTkymvLVfburgxM2YmvTv11rHHQrROTa1bNL21OnbsWBYtWsTw4cOtsYMHD/Lee+/x5Zdf\nOvxQI0ghZzyz2SyjnwaSfBurPeb7yhX1xYbKSvXa3V09cisqqvG2+WX5JKcmU1mnNvZw9WD2oNlE\nBkRqfn57zPnDJPk21p351vWt1W+++YYnn3zSLvbEE09w5MgRhx8ohBCi5cvJgTVr1P3iQD30fs4c\nCA9vvG1uSS5rTq2hqq5KbevagbmD5xLWMUzHHgvRPmkakXvmmWd4/PHHef/99/Hy8qKiooLFixfz\n7bffsn//fiP66TAZkRNCiKbJylJPbKitVa+9vCAhAUJCGm97qfgSa0+tpaa+Rm3r5kVCbAIhfhoa\nC9GONbVu0bT9yIoVKzh06BD+/v507dqVjh07cvDgQVauXOnwA4UQQrRc586pJzY0FHE+PjB/vrYi\n7kLhBdacXGMt4nzcfZgfN1+KOCF0pKmQ69mzJ0eOHOHChQts27aNzMxMjhw5Qs+ePfXun2hFZA8i\nY0m+jdUe8n3mDKxfD3V16rW/PyxYAMHBjbc9d/Mca0+tpdaiVoB+Hn7Mj5tPsK+GxvfRHnLekki+\njWXoPnINPD096dq1K/X19WRlZQEQpWXVqxBCiBYtNRU+/RQaZnYCAyExUf1vY87cOMPmM5uxKBYA\nOnboyLy4eXTy6qRjj4UQoHGN3K5du3j55ZfJz8+3b2wyUV9fr1vnmkPWyAkhhDbffw87dtiug4LU\nIs7fv/G2J6+dZGv6VhTU77eBnoHMi5tHgGeATr0Vom3SdfuRqKgofvOb35CYmIi3t3eTOmg0KeSE\nEKJxR47A7t226+Bg9cUGX9/G2x7LP8b2jO3WIi7IO4jE2ET8O2ioAIUQdnR92aG4uJhXX3211RRx\n4uGQ9RXGknwbq63lW1Hg66/ti7jQUPXFBi1F3NG8o2zL2GYt4oJ9gpkfN9+pRVxby3lLJ/k2lrPy\nramQe/nll1m2bJlTHiiEEOLhUhTYuxf27bPFIiLU6VQvr8bbH849zBfnv7Bed/ftzry4efh6aKgA\nhRBOpWlqddiwYRw9epSIiAi6detma2wyyT5yQgjRiigK7NoF335ri/XqBTNmgIdH4+33Z+8n5WKK\n9bqHfw/mDp6Lp5unDr0Vov3QdY3cihUr7vvQefPmOfxQI0ghJ4QQ9iwW2L4djh+3xfr1g2nT1DNU\nH0RRFFIupnAg54A1FtExgtmDZtPBrYNOPRai/dC1kGuNpJAznpzTZyzJt7Fae77r62HrVjh92haL\niYFJk8DV9cFtFUVh94XdfHP5G2usV2AvZsbMxN3VXacet/6ctzaSb2M566xVTWvkFEVh2bJljBw5\nkr59+/Lss8+ybNkyKZSEEKIVqKuDTZvsi7i4OJg8WVsR9/n5z+2KuL6d+zJr0CxdizghhDaaRuT+\n/d//neTkZH75y18SHh5OTk4Of/nLX5gzZw7vvPOOEf10mMlkYvHixcTHx8tPGEKIdqu2Vj2t4cIF\nW2zIEPjxj8FkenBbi2JhW8Y2Tlw9YY0N6DKAKf2n4OrSSAUohNDEbDZjNptZsmSJflOrkZGRfP31\n10RERFhj2dnZDB8+nJycHIcfagSZWhVCtHfV1eq5qdnZttjTT8Po0Y0XcfWWerae3crp67ZhvMHB\ng5kYPREXk6bJHCGEA3SdWq2oqCAoKMgu1rlzZ6qqqhx+oGi7ZA8iY0m+jdXa8l1ZCcnJ9kXcyJHa\nirg6Sx2bz2y2K+Ie7f6o4UVca8t5ayf5Npah+8g9//zzzJ07l7Nnz1JZWUl6ejqJiYk899xzTumE\nEEII5ykvh5UrIS/PFhs7Fp55pvEirra+lg2nN5BekG6NDQkdwot9X5SROCFaIE1TqyUlJbz++uts\n2LCB2tpa3N3dmT59Oh988AEBAS3zPD2ZWhVCtEelpepIXEGBLTZuHDz+eONta+prWHdqHReLL1pj\nQ8OGMiZqDKbGKkAhRLMYsv1IfX09BQUFBAUF4drYq04PmRRyQoj2prhYHYkrKlKvTSaYMEF9Q7Ux\n1XXVrDm1hpwS27rnZyKeIT4yXoo4IQyg6xq5lStXkpqaiqurK8HBwbi6upKamsqqVascfqBou2R9\nhbEk38Zq6fm+eROWLbMVcS4uMHWqtiKusraS5NRkuyJuVM9RjOw58qEWcS09522N5NtYhq6RW7Ro\nEWFhYXaxHj168PbbbzulE0IIIZru+nVYvlydVgX1lIaZM2HgwMbblteUszJ1JXlltgV1z/d+nuER\nw3XqrRDCmTRNrQYGBlJQUGA3nVpXV0fnzp0pKSnRtYNNJVOrQoj24MoVWLVKfUsVwN0dZs2CqKjG\n25ZVl5GcmsyNihvW2Pi+43ks5DGdeiuEuB9dp1b79+/P5s2b7WJbt26lf//+Dj9QCCGEc+TkqGvi\nGoq4Dh0gIUFbEVdSVcKKEyusRZwJExOjJ0oRJ0Qro6mQ++///m9eeeUVpkyZwq9//WsmT57Myy+/\nzB//+Ee9+ydaEVlfYSzJt7FaWr6zstSRuOpq9drLC+bNg/DwxtsWVRax/MRyblbeBMDF5MKUAVOI\n66ZhQZ2BWlrO2zrJt7EMXSM3bNgwTp06xWOPPUZFRQVDhgwhLS2NYcOGOaUTQgghtDt3Tj2xobZW\nvfbxgfnzISSk8bY3K26y/MRyiquKAXA1uTJtwDRiusbo12EhhG4c3n7k2rVrhGj5bvGQyRo5IURb\nlJYGW7aAxaJe+/tDYiLccfjOPV0vv05yajK3am4B4ObixoyBM+jTuY+OPRZCaKHrGrmioiJmz56N\nl5cXvXv3BmDbtm288847Dj9QCCFE06SmwubNtiIuMBAWLNBWxOWX5bPixAprEefu4s6cQXOkiBOi\nldNUyP30pz/F39+f7OxsOnToAMBTTz3F+vXrde2caF1kfYWxJN/Getj5/v572LoVGn5gDwpSi7jA\nwMbbXi69zMrUlVTUVgDQwbUDCbEJ9AzsqWOPm+9h57y9kXwby1n5dtPyh/bu3Ut+fj7u7u7WWJcu\nXbh+/bpTOiGEEOL+jhyB3btt18HB6nSqj0/jbXNKclhzcg3V9epbEZ5uniQMTiDUP1Sn3gohjKRp\njVzv3r3Zv38/ISEhBAYGUlRURE5ODmPHjuXs2bNG9NNhskZOCNHaKQrs3w/79tlioaEwd676lmpj\nsoqyWHdqHbUW9a0Ib3dvEmMT6ebbTaceCyGaStc1cj/5yU+YOnUqKSkpWCwWjhw5wrx583j11Vcd\nfqAQQojGKQrs3WtfxEVEqCNxWoq48zfPs/bUWmsR5+vhy/y4+VLECdHGaCrkfvvb3zJjxgx+/vOf\nU1tby4IFC5gwYQJvvvmm3v0TrYisrzCW5NtYRuZbUWDnTjh40Bbr1UsdifvXMuUHSr+RzvrT66mz\n1AHg38GfBXEL6OrTVace60M+48aSfBvL0DVyJpOJN954gzfeeMMpDxVCCHFvFgts3w7Hj9ti/frB\ntGnqGaqNOX39NJ+kf4JFUV9tDfQMJDE2kUAvDW9FCCFaHU1r5FJSUoiMjCQqKor8/Hx++9vf4urq\nyh/+8Ae6dTN+mP63v/0tR44cITIykmXLluF2j+9uskZOCNHa1Nerb6aePm2LxcTApElw21HX93Xi\n6gk+O/sZCur3vs5enZkXNw//Dv469VgI4Sy6rpH72c9+Zi2W3nrrLerq6jCZTPzbv/2bww9srtTU\nVK5cucL+/fuJjo6+6wxYIYRojerqYONG+yLukUdg8mRtRdz3V77n07OfWou4rj5dWfDIAinihGjj\nNBVyV65cITw8nNraWnbv3s0//vEPli5dyqFDh/Tu312OHDnCc889B8Dzzz//UPog7k3WVxhL8m0s\nPfNdWwvr1kFGhi02ZAi89BK4aPgu/c3lb9hxbof1uptvN+bHzcfXw1eH3hpHPuPGknwby9A1cv7+\n/ly9epW0tDQGDhyIn58f1dXV1DYc9GegoqIiunfvbu1XYWGh4X0QQghnqa5Wz03NzrbFnn4aRo8G\nk6nx9geyD7D34l7rdahfKHMHz8XLXcOrrUKIVk/TiNzrr7/OkCFDmD17Nj/72c8AOHToEP3792/y\ng//+97/z2GOP4enpyYIFC+y+VlhYyKRJk/D19SUyMpJ169ZZvxYQEEBpaSkAJSUldOrUqcl9EM4V\nHx//sLvQrki+jaVHvisrITnZvogbOVJbEacoCikXU+yKuPCO4STGJraZIk4+48aSfBvLWfnWNCL3\n29/+lokTJ+Lq6mo9a7VHjx589NFHTX5waGgoixYtYvfu3VRWVtp97bXXXsPT05Pr169z/Phxxo0b\nR2xsLAMGDGDo0KH8+c9/JiEhgd27dzNs2LAm90EIIR6W8nK1iLt2zRYbOxaGDm28raIofJX1FYdz\nD1tjUYFRzIyZiYerhw69FUK0VJpG5AD69etnLeIA+vbty6BBg5r84EmTJjFhwgQ6d+5sFy8vL+eT\nTz7h/fffx9vbm6effpoJEyawatUqAGJjYwkODmbEiBGkp6czZcqUJvdBOJesrzCW5NtYzsx3aSks\nX25fxI0fr72I25m5066I69OpD7NiZrW5Ik4+48aSfBtL9zVy0dHR1uO3wsLC7vlnTCYTOTk5zerA\nna/anjt3Djc3N7uiMTY21u4v/N///d+a7j1//nwiIyMBdUo2Li7OOpTZcD+5dt71iRMnWlR/2vq1\n5Lt15ruoCBYtMnPrFkRGxmMyQWioeg0Pbj/imRHsOLeDT3Z+AkBkXCT9g/oTdD2IQwcOtah8OeO6\nQUvpT1u/btBS+tPWr0+cOIHZbObSpUs0x333kTtw4ADDhw+3e+i9NHSsqRYtWsTly5dZvny59bnT\np08nPz/f+mc+/PBD1q5dy77bz6pphOwjJ4RoaW7ehJUr1RE5UN9InTIFBg5svK1FsbA1fSuniNvx\ngwAAIABJREFUrp+yxmK6xjApehKuLhr2JxFCtGhNrVvuOyLXUMRB84u1B7mz076+vtaXGRqUlJTg\n5+enWx+EEEJv167BqlX8a+RNPaVh+nTo27fxtvWWerakb+HMjTPWWFy3OF7q9xIuJhedeiyEaA3u\nW8gtWrTovtVhQ9xkMvHee+81qwOmO17N6tu3L3V1dWRmZlqnV1NTU4mJiWnWc4T+zGazrkW/sCf5\nNlZz8n3lilrENbzX5e4Os2ZBVFTjbessdWxM28i5m+esscdDHueFPi/c9f2zrZHPuLEk38ZyVr7v\nW8jl5uY+8JtEQyHXVPX19dTW1lJXV0d9fT3V1dW4ubnh4+PD5MmTeffdd/noo484duwY27dv58iR\nIw4/Iykpifj4ePlgCiEempwcWLNG3S8O1EPv58yB8PDG29bW17L+9HouFF2wxp7q8RRje41t80Wc\nEO2F2Wx+4BK2xmg6a1UPSUlJd43mJSUl8e6771JUVMTChQv56quvCAoK4j//8z+ZOXOmQ/eXNXJC\niIctK0s9saFh73QvL0hIgJCQxttW11Wz9tRasktsm8yNiBjByMiRUsQJ0QY1tW65byGXlZWl6QZR\nWuYGHgIp5IQQD9O5c+rZqXV16rWvr1rEBQc33raqrorVJ1dzufSyNfZsz2cZETFCp94KIR62ptYt\n910l27t370Z/9enTp1mdFm1Lc4aGheMk38ZyJN9pabB+va2I8/eHBQu0FXEVtRWsPLHSrogb22ts\nuyzi5DNuLMm3sZyV7/uukbNYLE55gBBCtCepqfDpp9Dwg3VgIMybBwEBjbe9VXOL5NRkrpdft8bG\n9RnH46GP69RbIURr99DWyOnNZDKxePFiedlBCGGY776Dzz+3XQcFQWKiOiLXmNLqUpJTkymoKADA\nhImX+r3EI90f0am3QoiWoOFlhyVLljh3jdxzzz3H7t27Afs95ewam0zs37/f4YcaQdbICSGMdPgw\nfPml7To4WC3ifHwab1tcVczKEyspqioCwMXkwqToSQwKbvoxiEKI1sXpGwInJiZaf//yyy/f96FC\nNJA9iIwl+TbW/fKtKLB/P9x+8ExoKMydq76l2pjCykJWnlhJSXUJAK4mV6YMmMKALgOc1PPWSz7j\nxpJ8G0v3feTmzJlj/f38+fOb/SAhhGhrFAX27IFDh2yxiAiYPVvdL64xN8pvkJyaTFlNGaAWcTNi\nZtC3s4bjHoQQAgfWyO3fv5/jx49TXl4O2DYE/t3vfqdrB5tKplaFEHpSFNi5E44etcV69YKZM9WT\nGxpz9dZVVqWuorxW/Z7q7uLOzJiZ9OrUS6ceCyFaMqdPrd7u9ddfZ+PGjQwfPhwvLXMFLYSc7CCE\n0IPFAtu3w/Hjtlh0NEydqp6h2pgrZVdYlbqKyjr1zC4PVw/mDJpDRECETj0WQrRUhpzsEBgYSFpa\nGiFatiNvIWREzniyvsJYkm9jNeS7vh62boXTp21fi4mBSZPA1bXx++SU5LDm5Bqq69UzuzzdPJk7\neC49/Hvo1PPWSz7jxpJ8G+vOfOs6IhcWFoaHh4fDNxdCiLakrg42bYKMDFvskUfgxRfB5b7bq9tc\nKr7E2lNrqamvAcDb3ZuEwQl09+uuU4+FEG2dphG57777jv/4j/9g9uzZBN+xNfmIES1zt3EZkRNC\nOFNtrXpawwXb+fUMGQI//jFoeYE/szCT9afXU2dRj3vwcfdhXtw8uvp01anHQojWRNcRuR9++IEv\nvviCAwcO3LVGLjc31+GHCiFEa5GRkc3OnRf49lsXSkosREX1IigogmHDYNQobUXc2YKzbErbRL1S\nD4B/B38SYxMJ8g7SufdCiLZOw2QAvP322+zYsYOCggJyc3PtfgnRQM7pM5bkW38ZGdl89FEme/c+\nS3o6VFQ8y4kTmfTqla25iEu7nsbGtI3WIi7AM4AFcQukiNNAPuPGknwby1n51lTI+fj48Mwzzzjl\ngUZKSkqSD6YQosl27LjAmTOjKCuzxfr1G0VZ2QVNRVzq1VQ2n9mMRVHPru7k1YkFcQsI9ArUqcdC\niNbGbDaTlJTU5Paa1sitWLGCo0ePsmjRorvWyLloWeH7EMgaOSFEcxQXw4IFZoqK4q2xvn0hJAQC\nAsy8+Wb8fdsC/HDlB3ac24GC+n2oi3cXEmMT8evgp2OvhRCtla5r5BYuXAjA0qVL73pofX29ww8V\nQoiWrKAAkpOhulodSTOZ1H3iGn6O9fCwPLD9t5e/ZWfmTut1sE8wibGJ+HhoOHhVCCEcoGk4LSsr\n656/Ltz++pZo92Qa21iSb33k58Py5VBaClFRvbBY9jJwIFRWmgGort7LqFH3P33hYM5BuyIuxC+E\n+XHzpYhrAvmMG0vybSxn5VvTiFxkZKRTHiaEEC1ZTg6sXQtVVep1SEgEEyfCuXMpnDlzkq5dLYwa\n1Zt+/e4+gUFRFL7O/hrzJbM1FuYfxpzBc/B08zTobyCEaG80n7Xa2sgaOSGEIy5cUPeJq61Vrz09\nYc4cCAtrvK2iKOy9uJeDOQetsZ4BPZk1aBYerrKZuhCicbqukRNCiLYsPR02b4aGJb8+PpCQAN26\nNd5WURR2Ze7i27xvrbHenXozY+AM3F3ddeqxEEKoWuYrp04i248YS3JtLMm3c5w4ARs32oq4jh1h\n4cK7i7h75VtRFHac22FXxEUHRTMzZqYUcU4gn3FjSb6N1ZDv5m4/0qZH5JqTGCFE23f0KHzxhe26\nc2dITFSLucZYFAufnf2M1Gup1tjALgOZ3H8yri6uOvRWCNEWxcfHEx8fz5IlS5rUXtMauaysLN5+\n+21OnDjBrVu3bI1NJnJycpr0YL3JGjkhxP0oChw8CHv32mLBwep0qq9v4+3rLfV8kv4JaTfSrLHY\n4FgmRE/AxdSmJzqEEDrRdY3c7Nmz6d27N3/+85/vOmtVCCFaE0WBPXvg0CFbrEcP9cUGLd/e6ix1\nbErbRMbNDGvsR91/xPi+4zFpOe5BCCGcSNOInL+/P0VFRbi6tp7pAhmRM57ZbCY+Pv5hd6PdkHw7\nzmJRp1K//94Wi4qCmTPBo5GXS81mM08Pf5oNaRvILMy0xp8IfYLnez8vRZwO5DNuLMm3se7Md1Pr\nFk1zACNGjOD48eMO31wIIVqK+nrYutW+iIuOhtmzGy/iAGrra1lzao1dETcsfJgUcUKIh0rTiNxr\nr73Ghg0bmDx5st1ZqyaTiffee0/XDjaVjMgJIRrU1cGmTZBhmw1l8GCYMAEam2jIyMxg53c7OXL5\nCGXVZURFRREUEsTIyJGMiBghRZwQwil0XSNXXl7O+PHjqa2t5fLly4D62r18AxNCtHTV1epGvxcv\n2mKPPQbjxqlnqD5IRmYGH+75kAz/DMq6lAFw4swJXgt7jWcin9Gx10IIoY2mQm7FihU6d0MfSUlJ\n1td6hf5kfYWxJN+Nq6yENWvgXz9/AjBsGIwa1XgRB7Dj2x2k+6VTXlNO8dliAqIDiB4STVF+kX6d\nFlbyGTeW5NtYDfk2m83N2sPvvoXcpUuXrGesZmVl3fcGUVFRTX643mQfOSHar1u3YNUquHbNFhs9\nWi3ktCiuKuZg7kHKu5VbY3079yXEL4Saihon91YI0V7pto+cn58fZWXqVIKLy73fiTCZTNQ3bIfe\nwsgaOSHar+JiSE6GwkJbbNw4ePxxbe0LKgpITk1mz949VPSowISJ6KBogn3VNcJdr3flZ9N/pkPP\nhRDtldPfWm0o4gAsFss9f7XUIk4I0X4VFMDy5bYizsUFJk/WXsRdvXWV5ceXU1pdSlRUFJYLFgZ2\nHWgt4qrPVzPq0VE69V4IIRwjW5ALp5Fz+owl+b7b1atqEVdSol67usL06eobqlrkluSy4sQKymvV\n6dSQsBDenfQuA24NoCClgK7XuzJ/5Hz69e6n099A3E4+48aSfBvLWflu02etCiHaj9xc9cWGqir1\n2t0dZs1SN/zV4mLRRdadXkdNvbr+zdPNkzmD5hDWMYzRj47G3FUWggshWh5N+8i1RrJGToj2IysL\n1q2D2lr12tNTPXIrLExb+4yCDDad2USdpQ4AH3cfEmIT6ObbTaceCyGEPV33kRNCiJbq7Fl1s9+G\nJbs+PpCQAN001mCnr5/mk/RPsCgWAPw7+JMYm0iQd5BOPRZCCOdxeI3cnS88CNFA1lcYS/INqamw\ncaOtiPP3hwULtBdxP1z5gS1ntliLuE5enVj4yMJ7FnGSb+NJzo0l+TaWs/KtqZD74YcfeOqpp/D2\n9sbNzc36y93d3SmdEEIIR333nXp2asPPk506wcKFEKRxIO1I7hG2n9uOgjqV0dWnKwviFhDgGaBT\nj4UQwvk0rZGLiYnhpZdeYu7cuXh7e9t9rWHT4JZG1sgJ0XYdOAB799qug4PV6VRf38bbKorC19lf\nY75ktsZC/EKYO3gu3u7e928ohBA6amrdoqmQ8/f3p6SkpFWdrSqFnBBtj6KoBdzBg7ZYjx7qiw1e\nXlraK3x54UuOXD5ijUV0jGD2oNl0cOugQ4+FEEIbp28IfLtJkyaxe/duh2/+sCUlJcmcv4Ek18Zq\nb/lWFPjiC/sirmdPdSROSxFnUSxsP7fdrojr3ak3cwfP1VTEtbd8twSSc2NJvo3VkG+z2dysI0U1\nvbVaWVnJpEmTGD58OMHBwda4yWQiOTm5yQ/Xm5y1KkTbUF8Pn30GJ0/aYv36wbRp4Kbhu1i9pZ6t\nZ7dy+vppa2xAlwFM7j8ZNxd5eV8I8fDodtbq7e5XEJlMJhYvXtykB+tNplaFaBvq6mDzZnWbkQaD\nBsHEierJDY22t9SxKW0TGTczrLG4bnG81O8lXExyuI0QomXQdY1caySFnBCtX00NrF+vbvjb4LHH\n4IUX1DNUG21fX8O6U+u4WHzRGhsSOoQf9/5xq1rzK4Ro+3RdIwewb98+FixYwNixY1m4cCEpKSkO\nP0y0bbK+wlhtPd+VlZCcbF/EPf00jBunrYirrK0kOTXZrogbHj68yUVcW893SyQ5N5bk21iG7iP3\n0UcfMWPGDLp3787kyZPp1q0bs2fP5p///KdTOiGEELe7dQtWrIDLl22xUaNg9GjQUoPdqrnFihMr\nuFxqu8HoqNGMiholI3FCiDZF09Rqnz592Lx5M7GxsdbYyZMnmTx5MpmZmbp2sKlkalWI1qmkRB2J\nu3nTFnvhBRgyRGP7qhKSU5O5WWm7wbg+43g89HEn91QIIZxH1zVynTt3Jj8/Hw8PD2usurqakJAQ\nbt7+3bYFkUJOiNbn5k21iCspUa9NJvWlhtt+hnygwspCVp5YSUm1egMTJiZGTyS2m8YbCCHEQ6Lr\nGrmnn36at956i/LycgBu3brFr371K4YOHerwA0XbJesrjNXW8n3tGixbZiviXF1h+nTtRdz18uss\nO77MWsS5mlyZPnC604q4tpbv1kBybizJt7EMXSO3dOlSTp48SceOHenatSsBAQGkpqaydOlSp3RC\nCNG+Xb4My5fDv35WxN0dZs+G/v21tc8rzWP58eXcqrmltndxZ9agWfTvovEGQgjRSjm0/Uhubi5X\nrlwhJCSEsLAwPfvVbDK1KkTrkJWlbjFSU6Ned+igHrkVHq6tfXZxNmtPraW6vlpt79qB2YNmExEQ\noVOPhRDC+Zy+Rk5RFOvbXRaL5b43cNGyD8BDIIWcEC3f2bOwaZN6cgOAt7d65Fb37tran795ng1p\nG6iz1Knt3b2ZO3guIX4hOvVYCCH04fQ1cv7+/tbfu7m53fOXu7t703or2iRZX2Gs1p7vkydh40Zb\nEefvDwsXai/iztw4w/rT661FnJ+HH/Pj5utWxLX2fLdGknNjSb6N5ax83/eQwbS0NOvvs27fkVMI\nIZrpu+/giy+g4YfPTp0gMRECArS1P3H1BJ+d/QwF9QYBngEkxibSyauTTj0WQoiWSdMauT/+8Y/8\n6le/uiv+5z//mbfeekuXjjWXTK0K0TIdPAh79tiuu3ZVp1P9/LS1//byt+zM3Gm9DvIOIjE2Ef8O\n/g9oJYQQLZuu+8j5+flRVlZ2VzwwMJCioiKHH2oEk8nE4sWLiY+PJz4+/mF3R4h2T1EgJQUOHLDF\nQkNh7lzw8tLSXuFgzkH2XtxrjXXz7UbC4AR8PHx06LEQQujPbDZjNptZsmSJ8wu5lJQUFEXhxRdf\nZMeOHXZfu3DhAr///e/Jzs52vNcGkBE545nNZimaDdSa8q0osHMnHD1qi0VGwqxZ6luqjbdX2Htx\nLwdzDlpjYf5hzBk8B083T+d3+B5aU77bCsm5sSTfxroz302tW+67Rg5g4cKFmEwmqqurefnll+0e\nFhwczAcffODwA4UQ7YvFAp99BqmptljfvjBtmrpfXGMUReGL81/w3ZXvrLGowChmxszEw9XjAS2F\nEKLt0zS1mpCQwKpVq4zoj9PIiJwQD19dHWzerG4z0iAmBiZNUk9uaIxFsfDZ2c9IvWarAqODopk6\nYCpuLg/8OVQIIVoVXdfItUZSyAnxcNXUqBv93v7S+49+BOPGgZbtJ+ssdWw5s4X0gnRrbFDXQUyM\nnoiri4YqUAghWhFdz1otKSnhF7/4BY8++igRERGEhYURFhZGuNat10W7IHsQGasl57uqClatsi/i\nhg6F8eO1FXE19TWsO7XOroj7UfcfMan/pIdWxLXkfLdVknNjSb6NZehZq6+99hrHjh3j3XffpbCw\nkA8++IDw8HDefPNNp3RCCNF2lJfDihWQm2uLPfssjBkD/zos5oGq6qpYfXI1F4ouWGNDw4Yyvu94\nXEwt8yQZIYR4WDRNrXbp0oX09HSCgoLo2LEjJSUl5OXl8eKLL3Ls2DEj+ukwmVoVwnglJZCcDDdv\n2mI//jE88YS29uU15aw+uZr8W/nW2MjIkYyIGGE9MlAIIdoiXd5abaAoCh07dgTUPeWKi4vp3r07\n58+fd/iBQoi26eZNtYgrKVGvTSaYMAHi4rS1L60uZVXqKm5U3LDGnu/9PE/2eFKH3gohRNugaZ5i\n8ODB7N+/H4Bhw4bx2muv8dOf/pR+/frp2jnRusj6CmO1pHxfuwbLl9uKOFdXdXsRrUVcUWURy48v\ntxZxJky81O+lFlXEtaR8txeSc2NJvo1l6Bq5Dz/8kMjISAD+53/+B09PT0pKSkhOTnZKJ4QQrdfl\ny+qauFu31Gt3d3Wj3wEDtLW/UX6DZceXUVSlnhLjYnJhyoApPNr9UX06LIQQbYimNXLffvstT9xj\nkcvRo0cZMmSILh1rLlkjJ4T+Ll6EdevUrUZAPaVhzhzQ+kJ7flk+q06uoqK2AgA3FzemD5xO3859\ndeqxEEK0TA/lrNVOnTpRWFjo8EONIIWcEPrKyIBNm9RNfwG8vSEhAbp319Y+pySHNSfXUF1fDYCH\nqwezYmbRM7CnTj0WQoiWS5d95CwWC/X19dbf3/7r/PnzuLnJzurCRtZXGOth5vvUKdiwwVbE+fnB\nggXai7gLhRdYlbrKWsR5uXmRGJvYoos4+XwbT3JuLMm3sZyV7wdWYrcXancWbS4uLrz99ttO6YQQ\novX4/nv4/HNo+MExMBASE9X/anG24Cyb0jZRr6g/JPp6+JIwOIFg32CdeiyEEG3XA6dWL126BMCI\nESM4cOCAdcjPZDLRpUsXvL29DelkU8jUqhDOd+gQfPWV7bprV3U61c9PW/uT107y6dlPsSgWADp2\n6EhibCKdvTvr0FshhGg95KzVO0ghJ4TzKAqkpMCBA7ZYSAjMnauujdPi+yvf8/m5z1FQ/1128urE\nvNh5dPTsqEOPhRCiddF1Q+CEhIR7PhCQLUiEldlsJj4+/mF3o90wKt+KAjt3wtGjtlhkpLrFSIcO\n2u5xKOcQX2XZhvKCfYJJiE3A18PXuZ3VkXy+jSc5N5bk21jOyremQq5Xr152leLVq1fZsmULc+bM\naXYHhBAtl8UC27bBiRO2WN++6ma/7u6Nt1cUhX2X9rE/e781FuoXytzBc/Fy99Khx0II0b40eWr1\n+++/JykpiR07dji7T04hU6tCNE9dHWzZAunptlhMDEyapJ7c0BhFUdiVuYtv8761xiIDIpkVM4sO\nbhqH8oQQop0wfI1cXV0dgYGB99xfriWQQk6IpqupUbcXuXDBFnv0URg/Hlw0nAdjUSxsz9jO8avH\nrbE+nfowfeB03F01DOUJIUQ7o8s+cg327t1LSkqK9df27duZN28eAwcOdPiBzVVaWsqQIUPw8/Pj\nzJkzhj9f3J/sQWQsvfJdVQWrV9sXcU89BS++qK2Iq7fUs+XMFrsibmCXgcyMmdmqizj5fBtPcm4s\nybexDNlHrsHLL79sfbkBwMfHh7i4ONatW+eUTjjC29ubL774gl//+tcy4iaEk5WXw6pVcPWqLTZy\nJIwYAbd9C7iv2vpaNqZt5HzheWvskW6P8GK/F3Exafq5UQghhANa7fYjCxYs4Fe/+tV9RwVlalUI\nx5SWQnIyFBTYYs8/D08+qa19dV01606v41LxJWvsidAneL7383Y/CAohhLibrtuPABQXF/P5559z\n5coVQkJCeOGFFwjUupW7EKJFKyxUi7jiYvXaZIKXXoJHHtHWvrK2ktUnV5NXlmeNPRPxDPGR8VLE\nCSGEjjTNdaSkpBAZGcnf/vY3vvvuO/72t78RGRnJnj17HHrY3//+dx577DE8PT1ZsGCB3dcKCwuZ\nNGkSvr6+REZG2k3b/uUvf2HkyJH86U9/smsj/4NoWWR9hbGcle9r12DZMlsR5+oKU6dqL+Ju1dxi\n+YnldkXcmKgxjOw5sk39G5XPt/Ek58aSfBvL0DVyr732Gv/85z+ZPn26NbZp0yZ+/vOfc/bsWc0P\nCw0NZdGiRezevZvKysq7nuHp6cn169c5fvw448aNIzY2lgEDBvCLX/yCX/ziF3fdT6ZOhWievDz1\nxYaGf47u7jBjBvTura19cVUxyanJFFYWAmDCxLi+43gs5DGdeiyEEOJ2mtbIBQQEcPPmTVxv2zyq\ntraWLl26UNzwY7wDFi1axOXLl1m+fDkA5eXldOrUibS0NHr/6/8g8+bNIyQkhD/84Q93tX/hhRdI\nTU0lIiKCV199lXnz5t39FzOZmDdvHpGRkda/Q1xcnHUX5YZKWK7lur1eX70KWVnx1NTApUtm3N3h\nnXfiiYjQ1r6kqoSsjlmUVJdw6cQlTJj4xaxfMDh4cIv4+8m1XMu1XLfk64bfN5xrv3LlSv32kXv9\n9dfp3bs3b7zxhjX2t7/9jfPnz/PBBx84/NB33nmHvLw8ayF3/Phxhg0bRnl5ufXP/PnPf8ZsNrNt\n2zaH7w/ysoMQD3LuHGzcqG76C+p5qXPnquenanHt1jWSU5Mpr1X/zbqaXJk2cBrRQdE69VgIIdo2\nXfeRO3bsGL/61a8IDQ1lyJAhhIaG8stf/pLjx48zfPhwhg8fzogRIxzq7O1u3bqFv7+/XczPz6/F\nbjYs7u32nzKE/pqa79OnYf16WxHn5wcLFmgv4i6XXmb5ieXWIs7dxZ3Zg2a3+SJOPt/Gk5wbS/Jt\nLGflW9MauVdeeYVXXnnlgX/GkUXNd1acvr6+lJaW2sVKSkrw8/PTfE8hRON++AF27ICGf4KBgZCY\nqP5Xi4tFF1l3eh019TUAdHDtwJzBcwjvGK5Tj4UQQjyIpkJu/vz5Tn3onUVf3759qaurIzMz07pG\nLjU1lZiYmGY9Jykpifj4eOu8tNCX5NlYjub78GH48kvbdZcukJAAdwyG39e5m+fYmLaROos6lOft\n7k3C4AS6+3V3qB+tlXy+jSc5N5bk21i3r5lrzuic5g2B9+/fz/Hjx63r2BRFwWQy8bvf/U7zw+rr\n66mtrWXJkiXk5eXx4Ycf4ubmhqurK7NmzcJkMvHRRx9x7Ngxxo8fz5EjR+jfv3/T/mKyRk4IQB19\n27cP9u+3xUJC1DVx3t7a7nH6+mk+Sf8Ei2IBwL+DPwmDE+ji00WHHgshRPuj6xq5119/nWnTpnHg\nwAHS09NJT0/n7NmzpKenO/Sw999/H29vb/7rv/6L1atX4+Xlxb//+78D8L//+79UVlbStWtX5s6d\ny9KlS5tcxImHQ9ZXGEtLvhUFdu2yL+IiImDePO1F3LH8Y2w5s8VaxAV6BrIgbkG7K+Lk8208ybmx\nJN/GMnSN3OrVq0lLSyNE62ro+0hKSiIpKemeXwsMDGTr1q3Nur8QwsZigW3b4MQJW6xPH5g+Xd0v\nTotvLn/Drsxd1usu3l1IiE3Av4PG+VghhBC60jS1OnjwYFJSUggKCjKiT04hU6uiPaurg08+gTNn\nbLGBA2HyZPXkhsYoisL+7P3su7TPGuvu252E2AS83TUO5QkhhNBM17NWP/74Y1555RVmz55NcHCw\n3dcc2XbEaPKyg2iPamthwwbIzLTFHnkEXnwRXDQsplAUha+yvuJw7mFrLLxjOLMHzcbTzVOHHgsh\nRPtlyMsOS5cu5Y033sDPzw8vLy+7r+Xm5jb54XqSETnjmc1mKZoNdK98V1XB2rWQk2OLPfkkPPcc\naNkhyKJY+Pzc5/yQ/4M11iuwFzNiZuDh6uGknrdO8vk2nuTcWJJvY92Zb11H5N5++2127NjBmDFj\nHH6AEMIY5eXquan5+bZYfDw884y2Iq7eUs+nZz/l1PVT1lj/oP5MGTAFNxdN3yqEEEIYTNOIXHh4\nOJmZmXh4tJ6fyGVETrQnpaWQnAwFBbbYc8/BU09pa19nqWNT2iYybmZYY7HBsUyInoCLSdPL7UII\nIZpB1+1H3nvvPd58803y8/OxWCx2v4QQD1dhISxbZiviTCZ46SXtRVxNfQ1rT621K+IeD3mcidET\npYgTQogWTtN36YULF7J06VJCQ0Nxc3Oz/nLXuofBQ5KUlCT74hhIcm0ss9nM9euwfDkUF6sxFxeY\nOhUefVTbParqqliVuoqsoixrbFj4MF7o84JDx+61B/L5Np7k3FiSb2M15NtsNt93azaTZ+IqAAAg\nAElEQVQtNC18ycrKavwPtUDNSYwQLVVGRjZ79lzgu+9OUlRkISysF0FBEbi5wYwZ6l5xWpTXlLPq\n5Cqu3rpqjY3qOYrhEcN16rkQQog7NeyusWTJkia113xEF4DFYuHatWsEBwfjomUfg4dI1siJtigj\nI5sVKzKprBzFqVNQXw91dXsZMqQ3//f/RhAZqe0+pdWlJKcmU1BhW1T3Qp8XGBI6RJ+OCyGEeCBd\n18iVlpaSmJiIp6cnoaGheHp6kpiYSElJicMPFEI03Z49FyguHsXJk2oRB+DpOYqgoAuai7jCykKW\nHV9mLeJMmJgYPVGKOCGEaIU0n7VaXl7O6dOnqaiosP739ddf17t/ohWR9RX6qqmBY8dcSE9Xj98q\nLjbj4aFu9uvtrW2E/Hr5dZYfX05xlbqoztXkyrSB04jrFqdn19sE+XwbT3JuLMm3sQw9a3XXrl1k\nZWXh4+MDQN++fVmxYgVRUVFO6YQQ4sGuXoVNmyA/3/ameEMR5+UFHh6Nv0F+pewKq1JXUVlXCYCb\nixszBs6gT2eNi+qEEEK0OJoKOS8vL27cuGEt5AAKCgrw9GzZx/XIEV3Gkjw7n6LAd9/B7t3qVGpU\nVC9OnNhLaOgo+vSJx80Nqqv3MmpU7wfeJ7s4m7Wn1lJdXw1AB9cOzB40m4iACCP+Gm2CfL6NJzk3\nluTbWA35NuSIrt///vesXLmSX/7yl0RERHDp0iX+8pe/kJCQwKJFi5r8cD3Jyw6itauogG3b4OxZ\nW8zDAwYMyObKlQvU1Ljg4WFh1Khe9Ot3/4IsszCTDac3UGupBcDLzYu5g+cS6h+q919BCCGERk2t\nWzQVchaLhRUrVrBmzRry8/MJCQlh1qxZLFy4sMXuNSWFnPHknD7nyc6GLVvUExsadOsG06ZB587q\ntZZ8n7lxhi1ntlCvqG9G+Hr4khibSFefrjr1vO2Sz7fxJOfGknwby9CzVl1cXFi4cCELFy50+AFC\nCO0sFjhwAMxmdVq1wRNPwJgx4ObAkacnrp7gs7OfoaDeKMAzgMTYRDp5dXJup4UQQjw0mkbkXn/9\ndWbNmsXQoUOtscOHD7Nx40b++te/6trBppIROdHalJbCJ5/ApUu2mJcXTJwI/fo5dq+jeUf54vwX\n1uvOXp1JjE2ko2dH53RWCCGEU+k6tRoUFEReXh4dOnSwxqqqqggLC+PGjRsOP9QIUsiJ1uTcOfj0\nU3VdXIOICJgyBfz9HbvXgewD7L2413rdzbcbcwfPxdfD10m9FUII4Wy6bgjs4uKCxWK/vYHFYpFC\nSdiRPYgcV1+vvpG6dq2tiDOZID4e5s17cBF3Z74VRWFP1h67Iq6Hfw/mxc6TIs4J5PNtPMm5sSTf\nxnJWvjUVcsOGDeOdd96xFnP19fUsXryY4cNb9pmMSUlJ8sEULVZhIXz8MRw5Yov5+akFXHw8OHIK\nnqIo7MzcycGcg9ZYz4CeJMYm4uXu5bxOCyGEcCqz2dyss+E1Ta3m5uYyfvx48vPziYiIICcnh+7d\nu7N9+3bCwsKa/HA9ydSqaMlOnYLt29XTGhr07auuh/P2duxeFsXCZ2c/I/Vaqu1enfsyfeB03Fwc\neDtCCCHEQ6PrGjlQR+GOHj1Kbm4uYWFhPPHEE7g4MmRgMCnkREtUUwM7d8Lx47aYq6v6RuoTT6jT\nqo6os9Sx5cwW0gvSrbGYrjFMip6Eq4urk3othBBCb7oXcq2NFHLGkz2IHuzqVdi8GQoKbLFOnWDq\nVAgJcfx+e/bu4WqXq2QWZlpjj3Z/lPF9x+Niark/ZLVW8vk2nuTcWJJvYxm6j5wQoukajtn68kuo\nq7PFBw+GcePgtpfBNcnIzGDndzvZtn8bnqGeREVFERQSxFM9nmJsr7EtdpNuIYQQzicjckLoqLIS\nPvvM/pgtd3e1gIuNdXwqNSMzgw/3fEiGfwZlNWUA1GXW8W9j/o2EEQlSxAkhRCul24icoihcvHiR\n8PBw3BzZVl6Idi4nRz1mq6TEFuvWTZ1KDQpq2j03HNzASZ+T1Nz2lkS/x/tx69otKeKEEKId0rSQ\nJiYmpkW/2CBaBtnqRWWxwP79sHy5fRH3xBPwk580rYizKBb2Z+/n8OXD1NSrRVzx2WL6du5LWMcw\naiw1jdxBNJd8vo0nOTeW5NtYzsp3o0NsJpOJRx55hIyMDPr37++UhwrRVpWVqcdsXbxoi3l5wYQJ\nEB3dtHuW15TzSfonXCi6gMu/fvZyd3EnKjCKED/1LQkPF4/mdl0IIUQrpGmN3DvvvMPq1auZP38+\nYWFh1nlck8nEwoULjeinw0wmE4sXLyY+Pl7ewhGGOH8etm61P2YrPFw9ZqtjE484vVR8iS1ntljX\nwxVcKeBi1kUGPzmYDm7qWxLV56uZP3I+/Xo7eCCrEEKIh85sNmM2m1myZIl+2480FEL3WoOzb98+\nhx9qBHnZQRilvh727oXDh20xkwlGjIBnnnHshIYGiqJwIOcA+y7uQ8H2OR4RMYLudd3Zd3wfNZYa\nPFw8GPXoKCnihBCilZN95O4ghZzx2uMeRIWF6t5wV67YYn5+MHky9OzZtHvePpXawNvdm8n9J9O7\nU29rrD3m+2GSfBtPcm4sybexDN9H7ubNm3z++edcvXqV3/zmN+Tl5aEoCj169HD4oUK0BadOwY4d\nUF1ti/Xpox6z5ePTtHtmF2ez+cxm61QqQETHCKYMmIJ/B/9m9lgIIURbo2lE7uuvv2bKlCk89thj\nHDp0iLKyMsxmM3/605/Yvn27Ef10mIzICb3c75it0aPhyScd3xsO1KnUgzkHSbmYYjeVOjx8OCN7\njpSTGoQQoo3TdWo1Li6OP/7xj4wePZrAwECKioqoqqoiPDyc69evN6nDepNCTujh2jXYtMl5x2yB\n9qlUIYQQbVdT6xZNP+ZnZ2czevRou5i7uzv19fUOP1C0XW15D6KGY7Y+/NC+iBs0CF59telFXHZx\nNku/X2pXxIV3DOenj/200SKuLee7JZJ8G09ybizJt7EM20cOoH///uzatYvnn3/eGtu7dy+DBg1y\nSieEaMkqK2HbNkhPt8Wac8wW2KZS913ah0WxWOPDwofxbM9nZSpVCCGEJpqmVr/55hvGjx/PCy+8\nwKZNm0hISGD79u189tlnDBkyxIh+OkymVoUz5Oaqb6XefkJDcDBMm9b0Y7bKa8rZenYrmYWZ1pi3\nuzeToifRp3OfZvZYCCFEa6T79iN5eXmsXr2a7OxswsPDmTt3bot+Y1UKOdEcFgscOgT79qm/bzBk\nCIwdC009djinJIfNZzZTWl1qjYV3DGfqgKnyVqoQQrRjhuwjZ7FYKCgooEuXLi3+gG4p5IzXVvYg\nKitTT2jIyrLFPD3VY7aaekqdoigcyj1EysWUu6ZSR0aOxNXF1eF7tpV8txaSb+NJzo0l+TaWs/aR\n07QQp6ioiISEBLy8vOjWrRuenp7MnTuXwsJChx9opKSkJFm8KRySmQlLl9oXcWFh8NOfNr2Iq6it\nYO2ptezJ2mMt4rzcvJgzaA6jo0Y3qYgTQgjRNpjNZpKSkprcXtOI3MSJE3Fzc+P9998nPDycnJwc\n3n33XWpqavjss8+a/HA9yYiccMT9jtkaPhzi45t2zBbceyo1zD+MqQOm0tGziQewCiGEaHN0nVrt\n2LEj+fn5eHt7W2MVFRV0796dkttXgbcgUsgJrYqK1Bca8vJsMV9f9bD7ph6zpSgKh3MPs/fiXrup\n1KfDnubZns/KKJwQQgg7uk6tRkdHc+nSJbtYdnY20dHRDj9QtF2tcRr79Gl1KvX2Iq5PH/g//6fp\nRVzDVOpXWV/ZTaXOHjSbMb3GOK2Ia435bs0k38aTnBtL8m0sQ/eRe/bZZxk7diyJiYmEhYWRk5PD\n6tWrSUhIYNmyZSiKgslkYuHChU7plBB6q61Vj9k6dswWc3FRj9l66qmm7Q0HkFuSy6Yzm2QqVQgh\nhCE0Ta02vFVx+5uqDcXb7fbt2+fc3jWDTK2K+7l2TZ1KvXHDFgsMVI/ZCg1t2j1lKlUIIURzGLL9\nSGsihZy4k6LADz/Arl1QV2eLx8TAiy9Chw5Nu29FbQWfnv2UczfPWWNebl5MjJ5Iv6B+zey1EEKI\n9kDXNXJCaNGS11dUVamH3e/YYSvi3N3VveGmTGl6EZdbkss/vv+HXRHXw78HP33sp7oXcS05322R\n5Nt4knNjSb6NZegaOSFas9xc2LIFiottseBgdSq1S5em3VNRFI5cPmK3NxzA0LChjOo5SqZShRBC\nGEKmVkWbpSjqMVspKfbHbD3+uHrMlrt70+5bWVvJp2c/JeNmhjUmU6lCCCGao6l1i4zIiTbp1i34\n5JO7j9l66SUYMKDp971ceplNaZsoqbbtn9jDvwdTB0wlwDOgGT0WQgghHKd5jVx6ejrvvfcer732\nGgBnz57l5MmTunVMtD4tZX1FZib8v/9372O2mlrENbyVuuz4Mrsi7qkeT7EgbsFDKeJaSr7bC8m3\n8STnxpJ8G8tZ+dZUyG3atIkRI0aQl5dHcnIyAGVlZbz11ltO6YQQzlBfD199BatXQ3m5Gms4Zmv+\nfAhoYq1VWVvJ+tPr+fLCl9b1cJ5unsyMmclzvZ+T9XBCCCEeGk1r5KKjo1m/fj1xcXEEBgZSVFRE\nbW0t3bt3p6CgwIh+OkzWyLUvRUXqCw2XL9tivr4weTJERTX9vpdLL7P5zGaKq2xvSoT6hTJt4DSZ\nShVCCOE0uq6Ru3HjBoMHD74r7tLUk8SFcKK0NNi2DaqrbbHevWHSJPDxado9FUXhm8vf2B2zBepU\n6uio0TIKJ4QQokXQVIk9+uijrFq1yi62YcMGhgwZokunROtk9PqK2lrYvl3dH66hiHNxUd9InTOn\n6UVcw1Tq7gu7W/RUqqxnMZbk23iSc2NJvo1l6D5yH3zwAWPGjOHjjz+moqKCsWPHcu7cOb788kun\ndEIvSUlJxMfHW48YE23H9evqMVvXr9tizT1mCyCvNI9NZzbdNZU6dcBUAr0Cm9FjIYQQ4m5ms7lZ\nRZ3mfeTKy8vZsWMH2dnZhIeHM27cOPz8/Jr8YL3JGrm2SVHUg+537rz7mK3x49UtRpp2X4Vv877l\nqwtfUa/UW+NP9niSMVFjWswonBBCiLZJzlq9gxRybU9VlTqVmpZmi7m7w/9v796DoyrvP45/ciWB\nJBIuSUgYiCUk3BTk5iCIC6iYykViQXEIAhYYUFtsvRaBMMA4tIp2CooyRUEkChYvIBbUsAgUQSxE\nyiUhWFMQSIRALlyWZLO/P/JjIQQk2STPZnffr5nMuGfP7nn20+369Tzfc57kZOm22yquUHXF+dLz\n+iTrEx08edC5LSQwRMOThqtjy461HDUAADdWr2ut5ubmasKECbrtttvUvn17519iYmKNDwjvVZ/9\nFUePSosXVy7ioqKkiROl7t1dL+J+KvpJb373ZqUiLjY8VpN7TG7wRRz9LGaRt3lkbhZ5m2W0R27k\nyJHq2LGj5syZoxBX564AF1xvma2ePaXBg11fZut6U6m3x92ue9rdo0B/Fj0BADR81Zpavemmm1RQ\nUKCAAM/pE2Jq1fOVlEgffSQdPnx5W10ss3Wh7II+OfiJDpw8cPl9mUoFALhRvd5HbsiQIdq8ebMG\nDhxY4wMArjh8uKKIKym5vK1164qrUl1doUGqmEr9cP+HOn3htHNbbHisRnYayVWpAACPU60zcidP\nnlSfPn2UmJioqKioyy/289PSpUvrdYCu4oyceVartda3erHbpU2bpK1bL2/z85P69pUGDJBcPSns\ncDi086ed2nh4o9dMpdZF3qg+8jaPzM0ib7Ouzrtez8hNmDBBwcHB6tixo0JCQpwH83O1wxy4hust\nszVihNSunevve62p1EYBjTS8w3B1almLOVoAANysWmfkwsPD9dNPPykiIsLEmOoEZ+Q8y/79Fcts\nXbhweVu7dhVFXFiY6+97rPiYVu9bXWkqtVVYK43sPFLNQpvVYsQAANSdej0jd+utt+rUqVMeVcjB\nM5SWShs2SLt2Xd7m7y8NGiTdcYfrtxVxOBz69ti32pCzodJUau+43rq33b0eOZUKAMDVqvVvs4ED\nB2rw4MEaP368oqOjJck5tTphwoR6HSA8R037K661zFbTphUXNLRu7fo4LpRd0KdZn2r/z/ud2xoF\nNNKwpGHqHNXZ9TduYOhnMYu8zSNzs8jbrLrKu1qF3JYtWxQbG3vNtVUp5FBTDoe0e3fFMlulpZe3\nd+4sDR3q+jJbElOpAADfwhJdMOpay2wFBlYss1WbFRquN5XaK7aXBicMZioVANCg1XmP3JVXpZZf\neUv9q/j7V2uVL0BHj1ZclXr68skyRUVVTKVecVebGrtQdkFrs9Zq38+Xq0NvnEoFAOBq163Crryw\nITAw8Jp/Qa6ujwSvdL114y4ts7V0aeUirkePirVSa1PEHS8+rre+e6tSERcTFqPJPSd7fRHHuohm\nkbd5ZG4WeZtV72ut7rti7uuHH36ok4PB95SUSB9/LOXkXN7WqFHFMluda1FnORwO7Tq2S//M+SdT\nqQAAn1WtHrmXX35ZTz/9dJXtCxYs0B/+8Id6GVht0SPnfj/8IK1ZU3WZrQcflCJrsRqWrcymT7M+\nrTKVOjRpqLpEdanFiAEAcA9X65Zq3xC4uLi4yvbIyEidvnKurAGhkHMfu12yWiuW2bryf4J+/Wq3\nzJZUMZW6ev9qFZwvcG6LCYvRyE4j1bxxc9ffGAAAN6qXGwJnZGTI4XDIbrcrIyOj0nOHDx/mBsGo\nxGq1qls3i/7xD+nIkcvbmzSRUlJqt8yWw+HQd8e/0z9z/qmy8jLn9p6xPXVfwn0+OZXKPZ/MIm/z\nyNws8jbLyH3kJkyYID8/P9lsNj322GPO7X5+foqOjtbf/va3Wg+gpnbu3Klp06YpKChIcXFxWr58\nuQIDfe9f4g1JVlauvvzysLZt+14lJeVq06adWrRoK6lultmyldm0Nnut/pP/H+e24IBgDUsaxlQq\nAMCnVWtqNTU1Ve+++66J8dzQiRMnFBkZqUaNGulPf/qTevTooQcffLDKfkytmpGVlaulS3N05Mgg\nHTtWsa2s7CvddluCHnqorfr2df3ecJJ0ouSEVu1bVWkqNbpJtEZ1HsVUKgDAa9TrWqsNpYiTpJiY\nGOc/BwUFKaA2DVeotY8/Pqz//GeQzp69vC0sbJCiozPUr19bl9/3elOpPVr10H0J9ykogFvfAADg\nsXfzzc3N1RdffKGhQ4e6eyg+zWbz1/nzFf985oxVLVtKPXtKYWGuf7VsZTatObBG67LXOYu44IBg\nPdjxQQ1NGkoR9/+455NZ5G0emZtF3mbVVd5GC7mFCxeqZ8+eCgkJ0fjx4ys9V1BQoBEjRigsLEzx\n8fFKT093Pvfqq69qwIABeuWVVyRJRUVFGjt2rJYtW8YZOTdr3rxc7dpJ/v4Vtxbp1Kliya3g4Ouv\nBvJLTpSc0FvfvaW9+Xud26KbRGtSj0m6JfqWuho2AABewehaqx999JH8/f21YcMGnT9/Xm+//bbz\nudGjR0uS/v73v2v37t26//779a9//UudOnWq9B5lZWUaNmyYnn76aQ0cOPC6x6JHzoysrFy9806O\nyssHKTS0YpvN9pXGjUtQUlL1p1YdDof+ffzf+jznc6ZSAQA+p17vI1fXZsyYoaNHjzoLubNnz6pZ\ns2bat2+fEhISJEmPPvqoYmNj9dJLL1V67bvvvqunnnpKt9xScXZmypQpGjVqVJVjUMiZk5WVq6++\nOqyLF/0VHFyuQYPa1aiIs5XZtC57XaWzcMEBwRqSOES3Rt9aH0MGAKBBqdeLHera1QPNzs5WYGCg\ns4iTpK5du15z/jg1NVWpqanVOs64ceMUHx8vSWratKm6devmvGfLpffmce0fJyW11fHj/9WePXs0\ndeq0Gr2+Y8+OWrVvlb7b/p0kKb5bvKKaRCnuVJwKDhRI0XL752uoj/fs2aNp02qWN49df0ze5h9f\n2tZQxuPtjy9tayjj8fbHe/bs0ZkzZ/Tjjz+qNhrEGbktW7Zo1KhROn78uHOfJUuWaOXKldq0aZNL\nx+CMnHlWq9X5Rb0Rh8Oh3Sd2a/2h9ZWmUru36q7khGSmUquhJnmj9sjbPDI3i7zNujpvjz4jFxYW\npqKiokrbCgsLFR4ebnJYqKXq/gBctF/Uuux1+j7ve+c2plJrjh9cs8jbPDI3i7zNqqu83VLI+V11\nh9jExESVlZUpJyfHOb2amZmpLl24a7+3ySvJ0+r9q3Xy3EnntqgmURrVeZRaNG7hxpEBAOB5/E0e\nzG6368KFCyorK5PdbpfNZpPdbleTJk2UkpKimTNn6ty5c9q6davWrl1b7V6460lLS6s094/69UtZ\nX7oqdcm/l1Qq4rq36q6J3SdSxLmA77ZZ5G0emZtF3mZdyttqtSotLc3l9zFayM2ZM0eNGzfW/Pnz\ntWLFCoWGhmrevHmSpNdff13nz59XVFSUxowZo8WLF6tjx461Ol5aWhqnihuAi/aL+ujgR/o061Nn\nP1yQf5BGdBihYUnD6IcDAPgsi8VSq0LOLRc7mMDFDg1D/tl8rdq3qspU6shOI9WySUs3jgwAgIbD\noy52gPdzOBzac2KP1h9ar9LyUuf222Ju06/b/5qzcAAA1AGjU6um0SNn1qWsL9ov6uODH+uTrE+c\nRVyQf5Ae6PCAhncYThFXR/hum0Xe5pG5WeRtVl31yHn1GbnaBAPX5J/N1+p9q/XzuZ+d21o2bqlR\nnUcxlQoAwFUsFossFotmz57t0uvpkUOtZeVk6cvvvtR/z/xXWT9nqe2v2qpFbMVVqN1iuunX7X+t\n4IBgN48SAICGy6PWWjWBQs6MrJwsLf1qqXKb5+pEyQlJUllOmXp27qlxA8apW0w3N48QAICGz9W6\nxat75FD/Ptr+kfaG7dWJkhM6c/CMJCmiY4RiymIo4uoZ/Sxmkbd5ZG4WeZtVV3l7fY/cpbln1I+L\n5Rd1ofyC83F0k2glNk9USH6IG0cFAIBnsFqttSrqmFpFrSz6YJG+b/y9DhUcUmLzRMWExUiSovKj\nNHXUVDePDgAAz8DUKtzi7h53q9mJZuod19tZxNkO2TSo+yA3jwwAAO9HIYdaSUpI0rgB49SmoI1O\nZpxUVH6Uxg0Yp6SEJHcPzevRz2IWeZtH5maRt1n0yKHBSEpIUlJCkqxRVvoRAQAwiB45AAAAN6NH\n7hpYogsAADRktV2iy+sLOab6zKFoNou8zSJv88jcLPI261LeFouFQg4AAMAX0SMHAADgZvTIAQAA\n+BgKOdQZ+ivMIm+zyNs8MjeLvM2qq7wp5AAAADyUV/fIzZo1SxaLhStXAQBAg2S1WmW1WjV79myX\neuS8upDz0o8GAAC8DBc7wO3orzCLvM0ib/PI3CzyNoseOQAAAB/H1CoAAICbMbUKAADgYyjkUGfo\nrzCLvM0ib/PI3CzyNoseOQAAAB9HjxwAAICb0SN3DWlpaZwqBgAADZbValVaWprLr/f6Qo5VHcyh\naDaLvM0ib/PI3CzyNutS3haLhUIOAADAF9EjBwAA4Gb0yAEAAPgYCjnUGforzCJvs8jbPDI3i7zN\n4j5yAAAAPo4eOQAAADejRw4AAMDHUMihztBfYRZ5m0Xe5pG5WeRtFj1yAAAAPs6re+RmzZoli8XC\n6g4AAKBBslqtslqtmj17tks9cl5dyHnpRwMAAF6Gix3gdvRXmEXeZpG3eWRuFnmbRY8cAACAj2Nq\nFQAAwM2YWgUAAPAxFHKoM/RXmEXeZpG3eWRuFnmbRY8cAACAj6NHDgAAwM3okQMAAPAxFHKoM/RX\nmEXeZpG3eWRuFnmbRY8cAACAj6NHDgAAwM3okQMAAPAxFHKoM/RXmEXeZpG3eWRuFnmbRY8cAACA\nj/PqHrlZs2bJYrHIYrG4ezgAAABVWK1WWa1WzZ4926UeOa8u5Lz0owEAAC/DxQ5wO/orzCJvs8jb\nPDI3i7zNokcOAADAxzG1CgAA4GZMrQIAAPgYCjnUGforzCJvs8jbPDI3i7zNokcOAADAx9EjBwAA\n4Gb0yAEAAPgYCjnUGforzCJvs8jbPDI3i7zNokcOAADAx9EjBwAA4Gb0yAEAAPgYCjnUGforzCJv\ns8jbPDI3i7zNokcOAADAx9EjBwAA4Gb0yAEAAPgYCjnUGforzCJvs8jbPDI3i7zNokcOAADAx3lc\nj1xeXp5SUlIUHBys4OBgrVy5Us2bN6+yHz1yAADAU7hat3hcIVdeXi5//4oTicuWLdPx48f1/PPP\nV9mPQg4AAHgKn7nY4VIRJ0lFRUWKjIx042hwJforzCJvs8jbPDI3i7zN8ukeuczMTN1+++1auHCh\nRo8e7e7h4P/t2bPH3UPwKeRtFnmbR+ZmkbdZdZW30UJu4cKF6tmzp0JCQjR+/PhKzxUUFGjEiBEK\nCwtTfHy80tPTnc+9+uqrGjBggF555RVJUteuXbVjxw7NnTtXc+bMMfkR8AvOnDnj7iH4FPI2i7zN\nI3OzyNususrbaCEXFxenGTNmaMKECVWee/zxxxUSEqL8/Hy99957mjJlivbv3y9Jeuqpp7Rp0yb9\n8Y9/VGlpqfM1ERERstlsxsb/S2p7irSmr6/O/r+0z/Weq+52d5+Cr4vj1+Q96ivv6z1X3W0mNbTv\nuKvPk7fr+/ObUnfvwW+Kd3/HTeZttJAbMWKEhg8fXuUq07Nnz2rNmjWaM2eOGjdurL59+2r48OF6\n9913q7zHnj17dNddd2ngwIFasGCBnn32WVPD/0Xe/IW81vZr7ffjjz/ecEx1hR9ds3lf6/j1/fqG\nVsj5et432offFH5Tasqbv+Mm83bLVasvvviifvrpJ7399tuSpN27d6tfv346e/asc58FCxbIarXq\n008/dekYCQkJOnz4cJ2MFwAAoD517drVpb65wHoYyw35+flVelxSUqKIiIhK2+lfGzMAAAxASURB\nVMLDw1VcXOzyMXJyclx+LQAAgCdwy1WrV58EDAsLU1FRUaVthYWFCg8PNzksAAAAj+KWQu7qM3KJ\niYkqKyurdBYtMzNTXbp0MT00AAAAj2G0kLPb7bpw4YLKyspkt9tls9lkt9vVpEkTpaSkaObMmTp3\n7py2bt2qtWvXKjU11eTwAAAAPIrRQu7SVanz58/XihUrFBoaqnnz5kmSXn/9dZ0/f15RUVEaM2aM\nFi9erI4dO5ocHgAAgEfxuLVWa+u5557T9u3bFR8fr6VLlyow0C3Xe/iMoqIi3X333Tpw4IB27Nih\nTp06uXtIXm3nzp2aNm2agoKCFBcXp+XLl/Mdr0d5eXlKSUlRcHCwgoODtXLlyiq3V0L9SE9P1+9/\n/3vl5+e7eyhe7ccff1SvXr3UpUsX+fn5adWqVWrRooW7h+XVrFar5s6dq/Lycv3ud7/TAw888Iv7\ne+QSXa7KzMzUsWPH9PXXX6tDhw768MMP3T0kr9e4cWOtX79ev/nNb1xaDBg106ZNG23atEmbN29W\nfHy8PvnkE3cPyau1bNlS27Zt06ZNm/TII49oyZIl7h6ST7Db7Vq9erXatGnj7qH4BIvFok2bNikj\nI4Mirp6dP39eCxYs0Oeff66MjIwbFnGSjxVy27dv1+DBgyVJ9913n7Zt2+bmEXm/wMBA/o9vUExM\njBo1aiRJCgoKUkBAgJtH5N38/S//hBYVFSkyMtKNo/Ed6enpGjVqVJUL51A/tm3bpv79+2v69Onu\nHorX2759u0JDQzV06FClpKQoLy/vhq/xqULu9OnTzluaREREqKCgwM0jAupHbm6uvvjiCw0dOtTd\nQ/F6mZmZuv3227Vw4UKNHj3a3cPxepfOxj300EPuHopPiI2N1eHDh/X1118rPz9fa9ascfeQvFpe\nXp5ycnK0bt06TZw4UWlpaTd8jUcWcgsXLlTPnj0VEhKi8ePHV3quoKBAI0aMUFhYmOLj45Wenu58\nrmnTps771RUWFqpZs2ZGx+3JXM38SvzXc/XVJu+ioiKNHTtWy5Yt44xcNdUm765du2rHjh2aO3eu\n5syZY3LYHs3VzFesWMHZOBe4mndwcLBCQ0MlSSkpKcrMzDQ6bk/lat6RkZHq27evAgMDNXDgQO3b\nt++Gx/LIQi4uLk4zZszQhAkTqjz3+OOPKyQkRPn5+Xrvvfc0ZcoU7d+/X5J0xx136Msvv5Qkbdiw\nQf369TM6bk/mauZXokeu+lzNu6ysTA8//LBmzZql9u3bmx62x3I179LSUud+ERERstlsxsbs6VzN\n/MCBA1q+fLmSk5N16NAhTZs2zfTQPZKreZeUlDj3+/rrr/ldqSZX8+7Vq5cOHDggqWJt+Xbt2t34\nYA4P9uKLLzrGjRvnfFxSUuIIDg52HDp0yLlt7Nixjueff975+JlnnnHceeedjjFjxjhKS0uNjtcb\nuJJ5cnKyIzY21tGnTx/HO++8Y3S8nq6meS9fvtzRvHlzh8VicVgsFscHH3xgfMyerKZ579ixw9G/\nf3/HgAEDHPfee6/jyJEjxsfs6Vz5TbmkV69eRsboTWqa9/r16x09evRw3HnnnY5HH33UYbfbjY/Z\nk7ny/V60aJGjf//+DovF4vjhhx9ueAyPvi+B46ozPNnZ2QoMDFRCQoJzW9euXWW1Wp2P//znP5sa\nnldyJfP169ebGp7XqWneqamp3Ei7Fmqad+/evbV582aTQ/Q6rvymXLJz5876Hp7XqWneycnJSk5O\nNjlEr+LK93vq1KmaOnVqtY/hkVOrl1zdI1FSUqKIiIhK28LDw1VcXGxyWF6NzM0ib7PI2zwyN4u8\nzTKRt0cXcldXumFhYc6LGS4pLCx0XqmK2iNzs8jbLPI2j8zNIm+zTOTt0YXc1ZVuYmKiysrKlJOT\n49yWmZmpLl26mB6a1yJzs8jbLPI2j8zNIm+zTOTtkYWc3W7XhQsXVFZWJrvdLpvNJrvdriZNmigl\nJUUzZ87UuXPntHXrVq1du5aeoTpA5maRt1nkbR6Zm0XeZhnNu7ZXZLjDrFmzHH5+fpX+Zs+e7XA4\nHI6CggLHAw884GjSpImjbdu2jvT0dDeP1juQuVnkbRZ5m0fmZpG3WSbz9nM4uLkXAACAJ/LIqVUA\nAABQyAEAAHgsCjkAAAAPRSEHAADgoSjkAAAAPBSFHAAAgIeikAMAAPBQFHIAAAAeikIOAK4ybtw4\nzZgxo07fc8qUKZo7d26dvicABLp7AADQ0Pj5+VVZ7Lq23njjjTp9PwCQOCMHANfE6oUAPAGFHIAG\nZf78+WrdurUiIiLUoUMHZWRkSJJ27typPn36KDIyUrGxsXryySdVWlrqfJ2/v7/eeOMNtW/fXhER\nEZo5c6YOHz6sPn36qGnTpnr44Yed+1utVrVu3VovvfSSWrZsqZtvvlkrV6687pjWrVunbt26KTIy\nUn379tXevXuvu+9TTz2l6Oho3XTTTbr11lu1f/9+SZWna4cOHarw8HDnX0BAgJYvXy5JOnjwoO65\n5x41b95cHTp00OrVq697LIvFopkzZ6pfv36KiIjQ4MGDderUqWomDcAbUMgBaDCysrK0aNEi7dq1\nS0VFRdq4caPi4+MlSYGBgfrrX/+qU6dOafv27frqq6/0+uuvV3r9xo0btXv3bn3zzTeaP3++Jk6c\nqPT0dP3vf//T3r17lZ6e7tw3Ly9Pp06d0rFjx7Rs2TJNmjRJhw4dqjKm3bt367HHHtOSJUtUUFCg\nyZMna9iwYbp48WKVfTds2KAtW7bo0KFDKiws1OrVq9WsWTNJladr165dq+LiYhUXF2vVqlVq1aqV\nBg0apLNnz+qee+7RmDFj9PPPP+v999/X1KlTdeDAgetmlp6ernfeeUf5+fm6ePGiXn755RrnDsBz\nUcgBaDACAgJks9m0b98+lZaWqk2bNvrVr34lSerevbt69+4tf39/tW3bVpMmTdLmzZsrvf7ZZ59V\nWFiYOnXqpFtuuUXJycmKj49XRESEkpOTtXv37kr7z5kzR0FBQerfv7/uv/9+ffDBB87nLhVdb731\nliZPnqxevXrJz89PY8eOVaNGjfTNN99UGX9wcLCKi4t14MABlZeXKykpSTExMc7nr56uzc7O1rhx\n47Rq1SrFxcVp3bp1uvnmm/Xoo4/K399f3bp1U0pKynXPyvn5+Wn8+PFKSEhQSEiIRo0apT179tQg\ncQCejkIOQIORkJCg1157TWlpaYqOjtbo0aN1/PhxSRVFz5AhQ9SqVSvddNNNmj59epVpxOjoaOc/\nh4aGVnocEhKikpIS5+PIyEiFhoY6H7dt29Z5rCvl5ubqlVdeUWRkpPPv6NGj19x3wIABeuKJJ/T4\n448rOjpakydPVnFx8TU/a2FhoYYPH6558+bpjjvucB5rx44dlY61cuVK5eXlXTezKwvF0NDQSp8R\ngPejkAPQoIwePVpbtmxRbm6u/Pz89Nxzz0mquH1Hp06dlJOTo8LCQs2bN0/l5eXVft+rr0I9ffq0\nzp0753ycm5ur2NjYKq9r06aNpk+frtOnTzv/SkpK9NBDD13zOE8++aR27dql/fv3Kzs7W3/5y1+q\n7FNeXq5HHnlEgwYN0m9/+9tKx7rrrrsqHau4uFiLFi2q9ucE4Fso5AA0GNnZ2crIyJDNZlOjRo0U\nEhKigIAASVJJSYnCw8PVuHFjHTx4sFq387hyKvNaV6HOmjVLpaWl2rJliz777DONHDnSue+l/SdO\nnKjFixdr586dcjgcOnv2rD777LNrnvnatWuXduzYodLSUjVu3LjS+K88/vTp03Xu3Dm99tprlV4/\nZMgQZWdna8WKFSotLVVpaam+/fZbHTx4sFqfEYDvoZAD0GDYbDa98MILatmypVq1aqWTJ0/qpZde\nkiS9/PLLWrlypSIiIjRp0iQ9/PDDlc6yXeu+b1c/f+XjmJgY5xWwqampevPNN5WYmFhl3x49emjJ\nkiV64okn1KxZM7Vv3955henVioqKNGnSJDVr1kzx8fFq0aKFnnnmmSrv+f777zunUC9duZqenq6w\nsDBt3LhR77//vuLi4tSqVSu98MIL17ywojqfEYD383Pwn3MAfIzValVqaqqOHDni7qEAQK1wRg4A\nAMBDUcgB8ElMQQLwBkytAgAAeCjOyAEAAHgoCjkAAAAPRSEHAADgoSjkAAAAPBSFHAAAgIf6P1gi\nIR8Y8ZXlAAAAAElFTkSuQmCC\n",
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 56
+ },
{
"cell_type": "markdown",
"metadata": {},
@@ -201,20 +270,15 @@
"def reverse_slizing(my_str):\n",
" return my_str[::-1]\n",
"\n",
+ "test_str = 'abcdefg'\n",
"\n",
"# Test to show that both work\n",
- "a = reverse_join('abcd')\n",
- "b = reverse_slizing('abcd')\n",
- "assert(a == b and a == 'dcba')\n",
+ "a = reverse_join(test_str)\n",
+ "b = reverse_slizing(test_str)\n",
+ "assert(a == b and a == 'gfedcba')\n",
"\n",
- "%timeit reverse_join('abcd')\n",
- "%timeit reverse_slizing('abcd')\n",
- "\n",
- "# Python 3.4.0\n",
- "# MacOS X 10.9.2\n",
- "# 2.4 GHz Intel Core Duo\n",
- "# 8 GB 1067 Mhz DDR3\n",
- "#"
+ "%timeit reverse_join(test_str)\n",
+ "%timeit reverse_slizing(test_str)"
],
"language": "python",
"metadata": {},
@@ -223,8 +287,8 @@
"output_type": "stream",
"stream": "stdout",
"text": [
- "1000000 loops, best of 3: 1.28 \u00b5s per loop\n",
- "1000000 loops, best of 3: 337 ns per loop"
+ "100000 loops, best of 3: 1.56 \u00b5s per loop\n",
+ "1000000 loops, best of 3: 362 ns per loop"
]
},
{
@@ -235,7 +299,84 @@
]
}
],
- "prompt_number": 13
+ "prompt_number": 1
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "funcs = ['reverse_join', 'reverse_slizing']\n",
+ "\n",
+ "orders_n = [10**n for n in range(1, 6)]\n",
+ "test_strings = (test_str*n for n in orders_n)\n",
+ "times_n = {f:[] for f in funcs}\n",
+ "\n",
+ "for st,n in zip(test_strings, orders_n):\n",
+ " for f in funcs:\n",
+ " times_n[f].append(min(timeit.Timer('%s(st)' %f, \n",
+ " 'from __main__ import %s, st' %f)\n",
+ " .repeat(repeat=3, number=1000)))"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [],
+ "prompt_number": 2
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "%pylab inline"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [],
+ "prompt_number": 4
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import matplotlib.pyplot as plt\n",
+ "\n",
+ "labels = [('reverse_join', '\"\".join(reversed(my_str))'), \n",
+ " ('reverse_slizing', 'my_str[::-1]')] \n",
+ "\n",
+ "matplotlib.rcParams.update({'font.size': 12})\n",
+ "\n",
+ "fig = plt.figure(figsize=(10,8))\n",
+ "for lb in labels:\n",
+ " plt.plot(orders_n, times_n[lb[0]], alpha=0.5, label=lb[1], marker='o', lw=3)\n",
+ "plt.xlabel('sample size n')\n",
+ "plt.ylabel('time per computation in milliseconds [ms]')\n",
+ "plt.xlim([1,max(orders_n) + max(orders_n) * 10])\n",
+ "plt.legend(loc=2)\n",
+ "plt.grid()\n",
+ "plt.xscale('log')\n",
+ "plt.yscale('log')\n",
+ "plt.title('Performance of different string reversing methods')\n",
+ "max_perf = max( [times_n['reverse_join'][i]/times_n['reverse_slizing'][i]\n",
+ " for i in range(len(times_n['reverse_join']))] )\n",
+ "min_perf = min( [times_n['reverse_join'][i]/times_n['reverse_slizing'][i]\n",
+ " for i in range(len(times_n['reverse_join']))] )\n",
+ "ftext = 'my_str[::-1] is {:.2f}x to {:.2f}x faster than \"\".join(reversed(my_str))'\\\n",
+ " .format(min_perf, max_perf)\n",
+ "plt.figtext(.14,.75, ftext, fontsize=11, ha='left')\n",
+ "plt.show()"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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wsGbmKiqquF5eXvXlVTXq9rERu8rK+Pr64tSpU9i5cyeioqLQvXt39OvXD3Fx\ncR9tOzg4GPb29oiKisKPP/6IWbNm4cyZM/zxs2fPwtbWtkIdpk6dih9//BGxsbHo168fgoKCsGzZ\nMvz666+IjY3FypUr8ccffyA4OBhA8ZTy/fv3cfXqVV5Gbm4uQkND4e3tDQC4d+8e7O3t0b17d1y/\nfh3h4eGQkpJC7969kZuby9d7+vQp1q9fj+3btyMmJgatW7fGyJEj0bx5c1y+fBl3797F8uXLoaam\nBqDYee7fvz/u3LmD0NBQREdHIyAgACNGjODPNzs7G25ubmjWrBkiIyOxbds2LF26FC9evBA578ps\nUlRUhJ9//hn/+9//cPHiRTx+/BhDhw5FUFAQNmzYwOd9//33AAA9PT04Oztj48aNInI2btwIFxcX\ntG3btkK7l1BQUAB3d3d07doVN2/exM2bNxEcHAwFBQUAwI0bNwAA+/btQ2pqKiIjIz9qPwDo0qUL\nsrOzceXKFZG2bG1tRe4LBoPBYNQi1Ej52KlVddpr1pymwEAiOzvRj5tbcX51P66up8vJCgwkWrv2\ndI3P71PQ0dGhBQsWEBFRfHw8cRxHx44dEyljaWlJvr6+fJrjONq5c6dIetKkSSJ1jI2N6ccff+TT\nnTt3pmnTpomUCQ8PJ47jaMeOHXxeVlYWKSgo0IkTJ0TKbt26lVRVVfl0ly5daMKECXx6z549JC8v\nT2/fviUiIm9vbxoxYoSIjJycHFJQUKADBw4QEVFgYCAJBAJ69OiRSDkVFRUKCQmhiggPDyc5OTm+\nnRLGjBlDAwcOJCKijRs3kpKSEqWnp/PH7969SxzH8bYmItLQ0KA1a9aIyNmyZQtxHEdRUVF83pIl\nS4jjOLpx4waft2LFCtLQ0ODT+/btI0VFRXr37h0REb1580bkXD/G69evieM4ioiIqPD4o0ePiOM4\nOnv2rEh+ZfYrQVlZmTZu3CiS9/fffxPHcZSfn19hnUbcDTEYDIbY1LQvlK5bN7J+4uTUHiEhp2Fv\n78jn5eaeho+PPgwNqy8vLq5YXpMmovIcHfVrQ91P4t69ewBQLqC9Z8+e5abtyiIUCkXSWlpaIiNQ\n7969Q9OmTSusa2Njw3+Pjo5GdnY2PDw8REb9CgsLkZubi1evXkFdXR3e3t6YM2cOVq5cCSkpKWzb\ntg0DBgyAsrIyACAyMhIPHjwo12Zubi4SEhL4dIsWLdCmTRuRMtOmTcPYsWMREhICe3t7uLu781PC\nkZGRyMvdqhdrAAAgAElEQVTL40eeSsjLy4OBgQGAYjt27NgRKioq/HETExORNAC8ffu2QptwHAdT\nU1MRHQHAzMxMJO/Vq1cgInAch/79+0NFRQU7d+7Et99+ix07dkBVVRX9+/cvJ78sampqGDt2LFxc\nXODg4AA7OzsMGjSIP5+PUZH9SlBWVkZ6enq5PABIT0+HhoZGlfIZDAaDIT5sarUCDA3bwcdHH5qa\nZ6CqGgFNzTP/OXE1W7Va2/IkAYkRiycrKyuS5jhOZOGAqqoqMjIyKqyrqKjIfy+ps3fvXkRFRfGf\nu3fvIj4+np/iHD58ODIyMnDkyBGkpaXhxIkT/LRqic5eXl4iMqKionD//n34+flV2HYJs2fPxv37\n9zFs2DDcvXsXXbp0wZw5c3j9VFRUysmNiYkR2VpDHJtVZhOBQCDixJZ8l5KSKpdX0o60tDT8/Pz4\n6dVNmzZhzJgxEAjEe6w3bNiA69evo3fv3jh79iw6deqEDRs2VFmvIvuV8PbtW6iqqpbLA1Auv6HB\n4ockD7O5ZGH2liy1Ze9GPSJXstihJgseDA3b1aqjVdvyagsTExMAxbFbrq6ufP65c+fQuXPnT5Ld\noUMHJCcni6WDnJwcHjx4gD59+lRaTk1NDf3798f27duRkpKCZs2awcXFhT9uZWWFqKgoPjC/uujq\n6iIgIAABAQFYtGgRli5dinnz5sHKygrp6enIzs7m7VXROWzcuBFv377lR+Gio6N5J6YEcW0iLmPH\njsXChQvx+++/486dOzhw4EC16puYmMDExARTpkxBQEAANmzYgHHjxvFOesliE3F49eoVMjMzy43q\npaSkQEdHB9LSjbq7YTAYjBpR8oqumtKoR+Rqumq1MXH16lUYGRmJBKuXpn379hg6dCjGjx+PkydP\nIjY2FpMmTcK9e/cwffr0arVFRCKjUnZ2diKLEypDSUkJs2bNwqxZs7Bu3TrExcUhOjoau3fvxsyZ\nM0XKenl54fDhw/jjjz/g6ekpMoo1a9YsxMTEwNPTE5GRkUhKSkJ4eDgmT5780X31srKyMGHCBH4f\nvps3b+L48eO80+bo6AgnJyd4eHjg4MGDSExMxPXr17F69Wps2rQJAPD111+jadOm8PT0xO3bt3Hl\nyhX4+vqW2+ZFXJuIi7a2Nvr06YPJkyfDyckJOjo6YtV78OABfvjhB1y8eBEpKSm4fPkyzp8/z5+z\nhoYGlJSUcOLECaSmpuLNmzdVyvz3338hJyeHLl26iORfuXKlUTyHjeEcGhrM5pKF2VuylNibrVpl\nfJT3798jPj4e2dnZlZbZtGkTXFxc4OnpCaFQiMuXL+PIkSNixUuVpuxq2MGDB+PFixf8CsjS5coy\ne/ZsLF++HBs3boRQKESPHj2wcuVK6OrqipRzdXWFqqoqYmNj4eXlJXLMyMgIly5dQmZmJlxcXGBi\nYoJx48YhJyeHn56taFWvtLQ00tPT4efnh44dO6JPnz5o1aqVyJssDh06BA8PD0yZMgXGxsbo168f\njh07Bn394jhHeXl5HD16FK9evYKNjQ1Gjx6N77//HpqamiJteXp64vLly+VWs1ZkE3Hz/P39kZeX\nh3HjxpU7VhmKiopISEjAiBEjYGhoiCFDhqB79+5Ys2YNgOKp3rVr1yI0NBRt27blR2c/tip6//79\nGDJkiMiUe3Z2Nk6cOAFPT0+xdWMwGAyG+LA3O3yBaGlpYebMmZg4ceJnb2vcuHGQkpLC+vXrP3tb\nDQVnZ2c4Ojrihx9+qBV569atw7x58/Do0aM6m77MyMhAu3btyr3ZYfv27ViyZEmjeLNDREQEG7GQ\nMMzmkoXZW7KUtTd7swOjSrKysnDy5Ek8f/5cZDXk5yQ4OBihoaFf7LtWK2Lx4sX47bffPvldq1lZ\nWYiNjcXixYsxYcKEOo1BW7VqFZydnUWcuMLCQixcuBCLFy+uM70YDAajscNG5L4ggoKCsGbNGnh5\neWH58uV1rQ7jE/Hx8cGff/4JZ2dn7N27V+QVaiVbklRGTExMpVuISJov9XlkMBiM0tS0L2SOHIPR\nCMnMzCwXh1eadu3aiWxtUpew55HBYDDY1GqFBAUFsX1xGF8kSkpK0NPTq/RTX5y4hgTrSyQPs7lk\nYfaWLCX2joiI+KRVq416Y6dPMQyDwWAwGAzG56Zkv9uSd4tXFza1ymAw6hT2PDIYDAabWmUwGAwG\ng8H44mCOHIPBYIgBix+SPMzmkoXZW7LUlr2ZI8dgMBgMBoPRQGExcgwGo05hzyODwWCwGDlGA0Eg\nEEAgEEBKSuqT32wgLnfv3uXb7dChg0TaZDAYDAZDEjBHrhLiEuKw9q+1+G33b1j711rEJcTVK3n1\nhfnz55d7sX1VrF27Fs+ePYOCgsInt5+amopRo0ahU6dOkJGRQe/evcuVMTY2xrNnzzB16tRKX/jO\nYFQFix+SPMzmkoXZW7LUlr0b/T5yJfuzVIe4hDiEhIegSYcPrzwKCQ+BD3xgqG9YbT1qW15DJD8/\nHzIyMgAAFRUVaGpq1orc3NxcqKurY+rUqQgNDUVhYWG5MlJSUmjRogUUFRXZFB6DwWCUIS4uBadO\nPcDt27cRHV0EJ6f2MDRsV9dqfTFERER8klPHYuQqYO1fa5HWIg0RyREi+YqPFWH9lXW1dbl64Sre\ntxGdRrTXsYfmC02MHza+WrLs7e2hr6+Pli1bYsOGDcjPz8f//d//ITg4GEFBQfjjjz9QVFSEcePG\nYf78+QgKCsLu3bsRGxsrIsfX1xcPHz5EWFhYlW0uXLgQmzdvxpMnT6CsrAxLS0scOHAAu3fvhq+v\nr0jZoKAgzJ07Fzo6Ohg9ejRevXqF0NBQdOjQAZcvX4ZAIMCOHTvw9ddfV+u8xcHHxwdPnjzBqVOn\nKjweFBSEnTt3Ij4+vtbbZtQcFiPHYNQdcXEp+N//EpCS4og3b4DOnQGi0/Dx0WfOnIRhMXK1SD7l\nV5hfiPKjPeJQhKIK8/OK8mokb+/evSgsLMSlS5ewfPlyzJ8/H66ursjNzcWFCxewdOlSLFy4EMeP\nH4e/vz8ePHiAc+fO8fUzMjKwZ88efPPNN1W2tW/fPvz6669YtWoVEhIScOrUKbi5uQEARowYgR9+\n+AFt2rRBamoqUlNTMW3aNL7uqlWr0LJlS1y5cgVbtmz5aDs6OjoYM2YMn05OToZAIMDWrVurax4G\ng8FgiMmRIw8QE+OI1FQgNxeIjgZkZBxx+vSDulaNISbMkasAGU6mwnwp1Oz9lIJKzCwrkK2RPD09\nPfzyyy/Q19fHmDFj0LFjRzx79gyLFi2Cvr4+vLy8YGZmhjNnzqB169Zwc3PDxo0b+fq7du2CgoIC\nBg0aVGVbKSkpaNmyJVxcXNCmTRuYm5tj4sSJkJOTg5ycHBQVFSElJQVNTU1oamqKxL3Z2Nhg7ty5\n0NfXh5GR0Ufb0dfXh5aWFp+WkZGBkZERVFVVa2AhBqP2YfFDkofZ/PPy+DFw9qwA794Vp9PTIyAn\nV/w9L4+5B58bFiP3GXHq7ISQ8BDYd7Dn83Ljc+EzooYxcm3Kx8jlxufCsZdjtWVxHAdzc3ORvJYt\nW6JVq1bl8l68eAEA+OabbzBkyBCsWbMGKioq2LhxI7y9vSEtXfXlHz58OFavXo127drB2dkZjo6O\nGDhwIJSUlKrU08bGRuzzKjvF27p1a9y7d49Pnz9/nh8JBICffvoJM2fOFFs+g8FgMD5w8yZw5AhQ\nUFA8Y8RxQOvWgJFR8XdZ2Ypnkhj1D+bIVYChviF84IPTN04jrygPsgJZOPZyrPHChNqWV7JooASO\n48rlAUBRUfGD2KdPH2hqamLbtm3o0aMHbty4gT///FOstrS0tBAbG4vw8HCcOXMG8+bNww8//IB/\n//0Xbdq0+WhdRUVFMc+oaqytrREVFcWn1dTUak02gyEO1V00xfh0mM1rn8JC4MQJ4OrV4rSeXntE\nR5+GmZkj1NTsAQC5uafh6Khfd0p+IdTW/c0cuUow1Des1RWltS2vKkpvsyEQCODv74+NGzciNjYW\ndnZ21dpPTVZWFi4uLnBxccG8efPQokULHDx4EBMmTICsrGyFK0VrGzk5Oejp6VVZjm0vwmAwGBWT\nlQXs2QMkJ3/IMzFpBy8v4Nq1M8jLE0BWtgiOjmyhQ0OCTYI3MIio3KoWcfL8/PwQGxuLzZs3Y9y4\ncWK3t3nzZmzatAlRUVFISUnBjh07kJGRgY4dOwIAdHV1kZqaiitXruDly5fIzs7m268Ojo6OmDVr\nFp9+8uQJjIyMcODAgSrr3rp1C7du3cLr16+RkZGBqKgo3Lp1q1rtMxhVweK1JA+zee2Rmgps3FjW\niQP8/AAbm3YYP94BQiEwfrwDc+IkBIuR+0LhOK7cqJM4eS1btkTfvn1x4cIFDBkyROz2mjVrhqVL\nl2LGjBnIzc1F+/btsXHjRvTq1QsAMGjQIAwdOhR9+/bFmzdv+O1HqjsylpiYiHbtPnQe+fn5uH//\nPt6VROF+BEtLS/47x3GwsLAAx3ESGSlkMBiM+s7du8DBg0D+fxsycBzg4AB89VXxd0bDhu0j9wVh\nY2ODHj16YNmyZXWmg0AgwPbt2zFq1CiJt832kauffKnPI4PxuSkqAs6cAS5c+JDXpAkweDBgYFB3\nejEqpqZ9IXPkvgBevnyJI0eOwN/fH/Hx8dDR0akzXQQCAZo0aQJpaWm8ePEC8vLyn73NmJgYWFtb\nIz8/H+3atcP9+/c/e5sM8fnSnkcGQxLk5AB//w2U/r9VXR0YORLQ0Kg7vRiVU9O+kE2tfgFoamqi\nWbNmWL16dTknztXVFRdK/7tWip49e+Kff/6pVV0SEhL475Jw4oDiPepu374NoHjhBoNREyIiItgq\nSgnDbF4z0tKA3buBV68+5HXoUDwSV7JPXEUwe0uW2rI3c+S+AEq2IamIzZs3Iycnp8Jjn8PREmfl\naW0jIyNTJ+0yGAyGpImLA/btK35LQwk9egC9egECtryxUdKop1YDAwNhb29fzuNlUzkMRv2BPY8M\nxqdDBJw/D4SHF38HABkZYODA4tWpjPpLREQEIiIiEBwczGLkSsNi5BiMhgF7HhmMTyMvDzhwACj1\nMhyoqgIjRgAtW9adXozqUdO+kA20MhgMhhiwPc0kD7N51bx5A2zeLOrE6eoC48ZV34lj9pYsbB+5\nT0BNTY29AYDBqCew160xGDUjMbH4TQ3/7cMOALC1BZydASmputOLIVm+yKlVBoPBYDAaKkTAlSvA\nyZMf4uGkpIB+/QALi7rVjVFz2PYjDAaDwWA0cvLzgSNHgKioD3lNmwLDhwNt2tSdXoy6g8XIMWoN\nFl8hWZi9JQuzt+RhNhfl3TtgyxZRJ65Nm+J4uNpw4pi9JQuLkWMwGAwG4wvh4UMgNBTIzPyQZ2kJ\nuLkB0uyX/IuGxcgxGAwGg1GPuX4dOHoUKCwsTgsEQJ8+gLU1e+l9Y4LFyDEYDAaD0YgoLASOHQOu\nXfuQp6AADBsG1OErsxn1DBYjx6g1WHyFZGH2lizM3pLnS7Z5ZiawdauoE9eyZXE83Ody4r5ke9cF\nLEaOwWAwGIxGyNOnxS+9f/fuQ16nTsCAAcWv3WIwSsNi5BgMBoPBqCfcvg0cOgQUFBSnOQ5wcgK6\ndWPxcI0dFiPHYDAYDEYDpagICAsDLl36kCcnBwwZAujr151ejPoPi5Fj1BosvkKyMHtLFmZvyfOl\n2Dw7G9i5U9SJa94c8PeXrBP3pdi7vsBi5BgMBoPBaOC8eFEcD/f69Yc8Q0PAwwNo0qTu9GI0HBpk\njNy7d+/g5OSEmJgY/Pvvv+jYsWO5MixGjsFgMBj1mZgYYP9+IC/vQ56dHWBvz+LhvkS+qBg5BQUF\nHD16FNOnT2fOGoPBYDAaFETA2bNA6Zk1WVlg0CDA2LjO1GI0UBpkjJy0tDQ0NDTqWg1GGVh8hWRh\n9pYszN6SpzHaPDcX+OsvUSdOTQ3w86t7J64x2rs+w2LkGAwGg8FoQLx+Dfz5J5CW9iFPTw8YOhSQ\nl687vRgNmzodkVuzZg2srKwgJyeHMWPGiBx7/fo1Bg0aBCUlJejo6ODPP/+sUAbHAgnqDfb29nWt\nwhcFs7dkYfaWPI3J5gkJwIYNok5ct26Ap2f9ceIak70bArVl7zodkWvdujXmzJmDEydOIDs7W+TY\nhAkTICcnhxcvXuDmzZvo27cvzM3Nyy1sYDFyDAaDwaivEBVvKxIWVvwdAKSlAXd3wMysbnVjNA7q\ndERu0KBBGDBgANTV1UXys7KysG/fPsybNw8KCgro3r07BgwYgO3bt/Nl3NzccPLkSfj7+2Pr1q2S\nVp1RASy+QrIwe0sWZm/J09Btnp8P7NsHnDr1wYlTVgZ8feunE9fQ7d3QaFQxcmVH1e7fvw9paWno\nl9oJ0dzcXOSkjx49WqVcHx8f6Pz3dmFVVVUIhUJ+KLNEFkvXXvrWrVv1Sp/Gnmb2ZvZu7OkS6os+\n1UlnZgJPntjj2TMgObn4eM+e9hg2DLh2LQL379cvfUtTX/Rp7Olbt24hIiICycnJ+BTqxT5yc+bM\nwePHj7FlyxYAwPnz5zFs2DA8e/aML7Nx40bs2rUL4eHhYslk+8gxGAwGoy5ISQFCQ4GsrA95VlaA\nqysgJVV3ejHqNw16H7myiispKeHdu3cieW/fvkXTpk0lqRaDwWAwGGJDBFy7Bhw7VvzuVAAQCAA3\nt2JHjsH4HAjqWgGg/MpTAwMDFBQUICEhgc+LiopCp06dqiU3KCio3JAx4/PBbC1ZmL0lC7O35GlI\nNi8oAA4fBv7554MTp6gI+Pg0HCeuIdm7MVBi74iICAQFBdVYTp06coWFhcjJyUFBQQEKCwuRm5uL\nwsJCKCoqwsPDA3PnzsX79+9x4cIFHD58GKNHj66W/KCgIH5OmsFgMBiMz0FGBrB1K3Djxoc8LS1g\n3DhAW7vu9GI0DOzt7T/JkavTGLmgoCD8/PPP5fLmzp2LN2/ewNfXF6dOnYKGhgYWLVqEESNGiC2b\nxcgxGAwG43Pz5EnxS+8zMj7kmZkB/fsDMjJ1pxej4VFTv6VOR+SCgoJQVFQk8pk7dy4AQE1NDfv3\n70dmZiaSk5Or5cQ1BM6ePYtTp059tExQUBBatGiBYcOG1aiNpUuXwsjICFJSUvjnn39Ejnl5eaFV\nq1aYPn16hXUtLCyQm5srdlupqakYMGAAv9ffzp07KyyXnJwMaWlpWFhY8J/Xr1+LlCEiODk5oXnz\n5mK3X0JKSgo2btxY7XoAMG/ePHTq1Anm5uawsrLCyZMnxTpWluTkZLi5ucHIyAgmJib43//+BwC4\ndOkSunfvDhMTE5iYmGDGjBk10nP27NkwNjaGnZ1djeqHhIQgPj6+RnXLEhUVhT179ojkCQQCvH//\nvlbkV0SvXr2QkpICe3t7PHz4EACgq6sLAPwq9bIEBgYiNDS0Stn+/v64ePGiWHr8888/CAgIEE/p\nekpISAiGDh3Kp58/f46uXbvWmT7i9Itr167FkiVL+PSdO3fQv3//z61ahdy6BWzZ8sGJ4zjAxaX4\nnanMiWNIDGqkAKDAwEAKDw+va1UqJDAwkKZNm1bp8fz8fAoKCqLp06fXuI3IyEh68OAB2dvb0z//\n/FPueFBQ0Ed1qA4jR44kPz8/IiJKS0sjbW1tevToUblySUlJpKGh8VFZq1atIj8/P2revHm19QgP\nDycrK6tq1yMiOnHiBGVnZxMRUVRUFKmqqlJOTk6Vx0pTVFREQqGQDh48yOe9ePGCiIju3r1LCQkJ\nRESUm5tLX331FW3fvr3aesrLy9PLly9rfG/b2dnRkSNHql2vsLCwXN6WLVtoyJAhInkcx1FmZmaN\ndBMHe3t7Sk5OJnt7e0pJSSEiIh0dHZG/n4Oy9u7cuTMlJSVVWLYiW9Um+fn5tSKn7PWbMmUKhYSE\n1IrsmlC2Xyxr84KCAsrJySE9PT3+eSQicnV1pStXrkhKTSosJDp2jCgw8MNn0SKi/x7vBkt9/b1s\nrJTYOzw8nAIDA6mmLlm9WOzwuahOjJxAIMDChQthY2MDPT09hIWFYcaMGbCwsICpqSliY2MBAP36\n9cPevXv5evv27YOLi0ulcuPi4tC1a1cIhUKYmppi2bJluHv3Lv744w9s27YNFhYWWLx4MVJSUqCh\noYHp06ejc+fO2Lx5M4BPe3OFlZUV9PT0alS3ZFSlqKgI48ePh7GxMYRCIb766qsKy9++fRvW1tYA\nAA0NDQiFQrFGQMoSHx+Pv/76CzNnzhQ59x07dqBLly4oKChAUVERnJycsGHDhnL1J0yYgHv37sHC\nwoIfyYyMjETXrl1hbm6Obt264dq1axW27ezsDDk5OQCAqakpiAivXr2q8lhpwsLCoKysDHd3dz6v\nZGTRxMQE7du3BwDIyspCKBTyI0rinl+PHj2Qk5MDBwcH/P7773j+/DkcHBxgZWWFTp064YcffuDL\nHjx4EGZmZvw9fPbsWWzZsgXXr1/HxIkTYWFhgTNnzgAAfv31V9ja2qJz585wd3fH8+fPARQ/Q0OH\nDoWLiwtMTEzw9u1bXv6rV68QGBiIsLAwWFhYYPLkyfyxVatWwcbGBu3bt8e+ffv4fE9PT1hbW8PM\nzAweHh5IT08HUBzsKxQK8e2338Lc3BxCoZB/5sqirq4OKSkpNGvWDFL/7eWgqakpYuuy+Pj4YO3a\ntQCAzMxMjBkzBqampjA1NRUZ3bG3t+dHr318fBAQEABHR0cYGBjgl19+4ctdv34dMjIy/AhgREQE\nzMzM4OvrCwsLCxw/fhxxcXFwc3ODjY0NhEIhQkJCAADz58/H999/L2LH5s2bIzs7G3l5eZg+fTps\nbW0hFArh5eWFrP/2sPDx8cHYsWPRs2dP2NjYIDs7G0OHDoWJiQmEQiGGDx/Oy9y6dSu6dOkCKysr\nODo64v79+wCAvLw8fPPNNzAwMEC3bt0QGRnJ1ykoKMCuXbswZMgQPq+u+8XU1NRy/WKTJk3Qs2dP\nkftq+PDhfJ/5uXn/Hti+Hbhy5UOepibg7w/893gzGNXiU2PkGvWIXHXgOI7WrVtHRER79uwhBQUF\nfhRr8eLF5OnpSUREx48fp169evH1HBwc6NChQ5XKnThxIv3yyy98Oj09nYio3GhbUlIScRxHoaGh\nfF5FI2Zubm50/fp1IioecXNzc6vy3GoyIsdxHGVlZdGNGzfI2Ni4nP5l8fLyoqlTpxIRUWJiImlo\naNCkSZPKlUtKSiJZWVmytLSkzp0705IlS/hjhYWFZGdnR1FRURWO3Pn5+dHUqVMpODiYhg8fXqEe\nERERIiNyubm51LZtWzpz5gwREYWFhZG2tnaVIxohISHUuXPnah/77bffaNCgQTR06FCysLCgoUOH\nVjgy+fz5c9LS0qJbt25V6/yIPlwbIqKcnBx+9CsvL48cHBzo+PHjRERkbm7Oj1IUFRXRu3fviKj8\n/bB9+3YaN24cFRUVERHRunXraNSoUURUPEKira1Nr169qtQWFY3IrV27loiILl68SK1bt+aPvXz5\nkv/+008/0cyZM4mo+D9SGRkZ3h4LFizgdagNfHx8eJ1mzJhBPj4+RET07t07MjExoWPHjhGRqG28\nvb2pR48elJubS3l5eWRiYkKnTp0iouI+4fvvv+flh4eHk5SUFG/v/Px8srS0pNjYWL4dQ0NDio2N\npYcPH1KrVq34UbuSEWgionnz5tH8+fN5uTNmzKCffvqJ18fa2prev39PRET79u0jFxcXvmzJs3nu\n3Dnq27cv5ebmEhHR0aNHqXv37nxbLi4uVFBQQO/fvycrKysaOnQoERFdvXqVLCwsROxWH/tFIqIN\nGzaQr68vn46LiyM9Pb1K26stUlOJVqwQHYnbvZuogsF5BqPa1NQlqxf7yNUXSv6jtbCwgJSUFNzc\n3AAAlpaW/H9/zs7OmDx5MmJjY0FESExMRL9+/SqVaWdnhxkzZuD9+/fo1asXevXqxR+jMqNtcnJy\nIvEqFVE61s3Kyqpc7Ftto6enh/z8fPj6+sLBwaHSc122bBmmTJkCoVAIbW1tODo68qMlpdHS0sKT\nJ0+goaGBtLQ0uLu7Q01NDX5+fli6dCns7OxgZmZW4U7Xa9asgaWlJQoKCnCj9PKwUpS1aVxcHJo0\nacLb3dHREbKysoiLi4OJiUmFMs6ePYu5c+ciLCysWseA4pXYZ86cwdWrV2FgYIAVK1bA29sbp0+f\n5stkZGTA3d0d06ZNg7m5ebXOrywFBQWYNm0aLl++DCJCamoqoqKi4OLiAgcHB0yePBmDBw+Gq6ur\nyPmWttOhQ4dw/fp1WFpa8jJVVVX543379kWzZs0qbL+svUsoiWm1tbXF06dPkZeXB1lZWWzduhW7\ndu1CXl4esrKyYGhoyNcxNDTk7WFra4vDhw+LZYPqcvr0aaxatQoA0LRpU4wcORJhYWHo06ePSDmO\n4zBw4EDIysoCKO4HEhMTARTHQZYd7e7QoQNsbW0BFL+dJjY2ViS2Ny8vD7GxsRgwYABMTEzwzz//\noH///ggJCcHKlSsBFF+LjIwMfnQrNzcXQqGQ12fIkCGQ/+8N60KhEDExMfjuu+9gb2+Pvn37AgAO\nHz6MqKgoXhci4kc+w8PD4e3tDSkpKcjLy8PT0xMXLlwAACQlJaF169bl7FUf+8XWrVvz1wIA2rRp\ng5SUlErbqw2io4EDB4pfu1VCr15Az57FsXEMRl3R6KdWq7MvTsnUmZSUFJo0acLnS0lJoaCgAEBx\nZ/rdd99h7dq1WL9+Pb799tty++CVxsPDAxcuXED79u2xaNEifguVin4AFRUVxda1LCdPnuQXDyxb\ntqzGcsqioqKC6OhojBgxArdv34aJiQk/7VYaDQ0N+Pn54datWzh06BDevXtXoaMkKysLDQ0NAMXT\nYKNGjeKDy8+fP4+QkBDo6uqiR48eePPmDfT09JCZmQkAePbsGbKyspCfny8yxVebXL58GaNHj8bB\ngwTRORsAACAASURBVAfRoUMHsY+V0K5dO3Tu3BkGBgYAgFGjRuHq1av88ffv36Nfv37o06cPpkyZ\nIlK3uucXERGB5cuXIz09HVevXkVUVBQGDhyI7OxsAMDy5cuxadMmyMrKYujQodi0aRNft+w9O2fO\nHNy8eRM3b97EnTt3cP78eb5cTe7L0s8SUOwcnj9/Hr///jtOnDiB27dvY968ebyupeuU1Ct55j4H\npZ8/Iqr0GS7dD6SlpX1UJyUlJRGZGhoavE1v3ryJxMREDBgwAEDxNOnWrVtx584dvHv3TiRkYf36\n9Xyde/fuYdeuXfyx0tdCV1cX9+7dQ+/evREWFgZzc3N+gZKvry8v49atW/w/RmVXxVXmiJemLvvF\nK1euVHj/lT2PkrQ451NdiIDTp4E9ez44cbKywIgRgJ1d43Li2D5ykqVR7CP3uflc+8h5e3vjwIED\nCA0NxdixYz9a9sGDB9DU1IS3tzfmzp3Lx6SoqKjUqjPi7OzMd9xTp04VOfYpHdzLly+RlZUFZ2dn\n/PLLL1BRUUFSUlK5cq9fv0ZhYSEA4MyZM4iOjsbXX39drlxaWhry/+sN379/j4MHD8LCwgJA8UhC\nSkoKkpKScOHCBaipqSExMRFKSkrIy8vD8OHDsWTJEgQGBmLEiBF8e6VRVlYWsauhoSHy8vL4B+bM\nmTMoKCgQGQkqITIyEsOHD8fff//Nj4KIc6w0rq6uePToEVJTUwEAx48f58vn5OSgf//+6Nq1a7mH\nVtzzK8vbt2/RqlUryMrK4smTJzh48CD/A1oy6jhx4kR4enrysYHKysr8CA0AuLu7Y+3atXxebm4u\nbt++DaDqH/rq3Mfp6elQUVFBs2bNkJuby6/mlTROTk58PFVGRgb++usv9O7dW6y6JfbQ0dHBkydP\nKi1naGgIBQUF7Nixg8+LjY1Fxn/LGz08PHDu3DksX74cY8aM4cu4u7tj2bJlyMnJ4fWrLFbwyZMn\n4DgOAwYMwPLly5GWloY3b96gf//+2LZtG69fYWEhP8Lr4OCA7du3o7CwENnZ2SJOYlXnVBWS7Bcf\nP37Mr1QuSWtra3/UeawJOTnAn38C//1fAwBQVy+OhzMyqtWmGF8wnxoj16gduepQtgMoneY4TiSt\npKQEV1dXODs7Q11d/aNyQ0NDYWZmBktLS0ycOJGfQhk0aBAiIyP5oN6ybVRG3759+U752rVr/HRK\nRSxZsgRt27bFv//+Cx8fH2hra/OjW1VRosvDhw/Ru3dvCIVCmJubw83NjZ+yKc3Vq1cREBAAY2Nj\nBAUF4fDhw/x/8n/88QcCAwMBFI+6WVpaQigUwtraGp07d8Z3331XTl7ZUZIffvgBlpaWGDZsGHx8\nfKCrq4s5c+aUq2dubg5DQ0OYmppi2LBhkJWVxd9//41Zs2bB3Nwcc+bMwd69eyEtXT6qYMKECcjN\nzcW4ceP40c3o6Ogqj5U+PwUFBaxevRqurq4QCoXYtm0bH+S+efNmnD17VmT0tCSAXtzzK31t7O3t\nMXHiRFy8eBGmpqYYO3YsnJyc+HI//vgjTE1NYWFhgbCwMH4hxLhx4/Dzzz/zix08PT0xatQo2NnZ\n8durXLp0iW/rY/elo6MjsrKyIBQK+cUOlT1Lrq6uaN++PQwMDGBvb4/OnTuXe85Kf//UH+XSz0pp\n5syZAyKCqakpunXrBi8vLzg7O1coo7QOLVu25NO9evXClVLR7mX1lZaWxuHDh7F7926Ym5ujU6dO\n+O6775CXlwcAkJeXx4ABA7Bjxw54eXnx9WbOnAlzc3NYW1vD3NwcPXr0EHHkSrdx584ddOvWDUKh\nELa2tpg1axZatmyJHj16YMGCBXB3d+cXExw6dAhA8bXX1taGsbExHB0dYWNjw8u0sLDAkydP+MUV\nZdsrm5ZEv9i1a9cK74NLly6J3Otl07XBy5fApk3Af+tEgP9n786jo6qzRY9/qzJPJIEwExKSkABh\nBgFlEJllBpFJUERtu7VdbXe7bq+rjQR9V2+/Ht+93bYN2qLQAooyIzPFLCBzQggZCIQQCJAQMg9V\n9f44naoUMlSSqnOqKvuzlqtTO8PZ7i7D5nd+Z/+AuDiliWvAZCS3IAP01eWoems6ENiZnDkQuKam\nhl69evHFF1/Qr18/p1wDYMmSJZSUlNg8VedISUlJlJaWOu3nC+EqJkyYwAsvvNDgmYz3U7tH7EGz\n69zRm2++SZ8+fXjhhRfq/b1q/V6srKykW7dupKSkWP6yOGHCBBYtWsSgQYMcco30dFi7FuqO0hwy\nBEaMUM5OFcIZ3HIgsDvauHEjcXFxjB071qm/rED5G+66desc+odPreeff55//etfhIaGOuxnyv4K\ndUm97TN27FhKSkoeunptj3vr/f777/N//+//bdTPdDX/+Z//yccff1zv73PW78X7vcc/+eQTfvrT\nn1qauHPnzqHX6x3SxJnNym3UL7+0NnE+PvDMMzBqlOc3cfI7RV2OqrdHr8gtXryY4cOHq7JcPGXK\nFMtMsFpRUVGsX7/e6dd2FQaDQZbmVST1VpfUu/4a+3tRzZpXVcGGDcrTqbVCQ5WHGtq2VSUFzcl7\nXF219TYYDBgMBpYsWdKgFTmPbuQ89F9NCCGEAxUWKuel1n0gPyoKZs6ERgwTEKJeGtq3yBw5IYQQ\nTdalS8pokbrHAw8YoJyZep9RmEK4HA+/4y/UJPsr1CX1VpfUW33OrLnZDEePKsdt1TZxXl4weTKM\nH980mzh5j6vLUfWWFTkhhBBNSk0NbN4Mp09bY8HBMGsWREZql5cQDSF75IQQQjQZxcXKfri6s4/b\nt1eauGbNtMtLCNkjdx+1JzvIUzhCCCFycmDNGqg7F713b5g4Ee4zI1wIVdQ+tdpQD1yRqz377lH8\n/PxsznB0FbIipz55dF1dUm91Sb3V58ianzwJW7ZA7cl3er3yQMOAAZ51XmpjyHtcXffW2+Ercl99\n9RVvv/32A39o7QX/+Mc/umQjJ4QQQhiNsH07HDtmjQUGwrPPQp3jWoVwWw9ckYuNjSUzM/ORPyAh\nIYG0tDSHJ9ZYsiInhBBNW2mpMlokO9saa91aGfIbHq5ZWkLcV0P7FnnYQQghhMfJy1MeaigqssYS\nE2HKFPD11S4vIR5E1bNWs7KyyK77VxwhkBlEapN6q0vqrb6G1jw5Gf75T2sTp9PByJEwY4Y0cQ8j\n73F1OaredjVys2fP5vDhwwB89tlnJCYm0q1bN9kbJ4QQwmWYTLBzJ6xdC9XVSszPD+bMgaFD5aEG\n4ZnsurXasmVLcnNz8fX1pXv37vzjH/8gLCyMKVOmkJGRoUae9abT6Vi8eLGMHxFCiCagvBy++Qbq\n/pEUEaHsh4uI0C4vIR6ldvzIkiVLnLdHLiwsjDt37pCbm8uAAQPI/fckxZCQEIqLi+uftQpkj5wQ\nQjQNN28q++Fu37bG4uNh+nTw99cuLyHqw6l75Hr16sWHH37Ie++9x4QJEwC4evUqoaGh9b6g8Fyy\nv0JdUm91Sb3VZ0/NL1yATz6xbeKGDVNW4qSJqx95j6tL1T1yn376KWfPnqWiooL3338fgCNHjvDc\nc885JAkhhBCiPsxm2LdPWYmrrFRiPj7KfLgRI5SBv0I0BTJ+RAghhFuprIT16yE11RoLC1NW4dq0\n0S4vIRrD6WetHjhwgFOnTlFcXGy5mE6n4+233673RYUQQoiGKChQVuHy862xTp2UlbjAQO3yEkIr\ndi0+v/HGG8yYMYP9+/dz4cIFUlNTLf8rRC3ZX6Euqbe6pN7qu7fmmZmwbJltEzdoEMyfL02cI8h7\nXF2OqrddK3IrV64kJSWFdu3aOeSiQgghhL3MZvj+e9ixQ/kYwNsbJk6E3r21zU0Irdm1R65nz57s\n2bOHCDcaxiN75IQQwv1VV8OmTXD2rDUWEqLsh2vfXru8hHA0p561evz4cT744APmzp1L69atbT43\nbNiwel9UDdLICSGEeysqgjVr4No1aywyEmbOVJo5ITyJUx92OHHiBFu3buXAgQMEBATYfC4nJ6fe\nF1VLUlKSnOygIoPBILVWkdRbXVJv9aSlXearrzL57ruzhIX1JCYmloiIKPr2hfHjlduqwvHkPa6u\n2nrXnuzQUHb95/DOO++wefNmRo8e3eALaSEpKUnrFIQQQtRDWtpl/vu/M8jOHklZmR5f3+GcPbub\nN96ASZOi5LxU4XFqF5yWLFnSoO+369Zqx44dycjIwNfXt0EX0YLcWhVCCPdiNMLPf76H1NQRlpiP\nDyQmQnz8Hl57bcRDvlsI9+bUI7ree+893nzzTfLy8jCZTDb/CCGEEI1VVgYrV8KlS9Y/loKDoV8/\nZdhvVZUc1SDE/dj1X8bChQv5+OOPad++Pd7e3pZ/fHx8nJ2fcCMyg0hdUm91Sb2dJz9fmQ936RLo\n9coCQcuWEB5usJyX6usrCwfOJu9xdak6Ry4rK8shFxNCCCHqSkuDb76BqirldUxMLHfu7CY2diSX\nLyuxysrdjBwZp12SQrgwOWtVCCGE6sxmOHgQ9uyxDvn19YXp00Gnu8zu3ZlUVenx9TUxcmQsCQlR\n2iYshJM5fI7cokWLeP/99x/5AxYvXtzgJy2cSRo5IYRwTdXVsGEDJCdbY2FhMGcO3DOqVIgmw+GN\nXHBwMGfrjtK+D7PZTL9+/bhz5069L+xs0sipT2YQqUvqrS6pt2Pcvascel93yG90tDLk997zUqXm\n6pJ6q+veejt8IHBZWRlxcY/ek+Dn51fviwohhGh6cnKUkxpKSqyxxx6DcePAy0u7vIRwZ7JHTggh\nhNOdPq2cmWo0Kq/1enj6aaWRE0I4+YguIYQQoiFMJti5E44cscYCA5VbqdHRmqUlhMeQCYvCYWQG\nkbqk3uqSetdfRQV8+aVtE9eqFbzyin1NnNRcXVJvdak6R85dJSUlWc4wE0IIoZ5bt2DVKrh92xrr\n0gWmTQPZWi2ElcFgaFRTJ3vkhBBCOFRGBqxdq6zI1XrySRg+HDn0XogHcOoeufz8fAICAggJCaGm\npoYvvvgCLy8v5s+fj14vd2eFEEIog32PHFH2xNX+eeTjA1OnKgffCyEcz64ubOLEiWRkZADwzjvv\n8Mc//pE///nP/OpXv3JqcsK9yP4KdUm91SX1friaGmXI744d1iYuNBQWLmx4Eyc1V5fUW12q7pFL\nT0+nd+/eAKxcuZLDhw8TEhJCt27d+Mtf/uKQRIQQQrin4mJlPtzVq9ZYZCTMmgXBwdrlJURTYNce\nuYiICK5evUp6ejqzZ88mJSUFo9FIaGgoJXUnO7oQ2SMnhBDOl5urNHF371pjffrAhAng7dGP0wnh\nWE7dIzdu3DhmzpzJ7du3mTVrFgDnz5+nQ4cO9b6gEEIIz3DunHI7taZGea3TKac0DBggDzUIoRa7\n9sh98sknTJgwgZdffpm3334bgNu3b5OUlOTM3ISbkf0V6pJ6q0vqbWUywa5d8M031ibO3x/mzYOB\nAx3XxEnN1SX1Vpeqe+T8/f159dVXbWIym00IIZqeykqlgbt40RqLiIA5c6BFC+3yEqKpeuAeufnz\n59t+4b//imU2my0fA3zxxRdOTK/hZI+cEEI4VkGBMuT35k1rrHNneOYZZUVOCNFwDe1bHnhrNTY2\nlri4OOLi4ggLC2P9+vUYjUYiIyMxGo1s2LCBsLCwRiUthBDCPWRlwbJltk3c4MHKSpw0cUJox66n\nVseMGcOiRYsYOnSoJXbw4EHee+89duzY4dQEG0pW5NRnMBjklruKpN7qaqr1Npvh2DHYvl3ZGwfK\n06iTJ0PPns69dlOtuVak3uq6t95OfWr1+++/Z9CgQTaxgQMHcqTuSchCCCE8itEIW7bAyZPWWEgI\nzJ4N7dtrl5cQwsquFbknn3ySxx57jPfff5+AgADKyspYvHgxR48eZf/+/WrkWW+yIieEEA1XWqrM\nh7tyxRpr315p4kJCtMtLOF5aRhrbj2/nVsUtWge2ZlS/USTEJWidVpPT0L7Frkbu0qVLzJ07lx9+\n+IHw8HAKCwvp378/X375JZ06dWpQws4mjZwQQjTM9evKQw1FRdZYr14waZIM+fU0aRlpfLzzY9JD\n0ymrLqNPmz74XvFlwVMLpJlTmcMfdqirU6dOHDlyhMzMTDZu3EhGRgZHjhxx2SZOaENmEKlL6q2u\nplLv8+fh00+tTZxOB2PGKAffq93ENZWaa2nNwTUkByVTUlVCQWoByfnJeMV6sfvkbq1T83iOen/b\n1cjV8vf3p1WrVhiNRrKyssjKynJIEvX1m9/8hmHDhvH8889TUzuNUgghRIOZzbB3L3z1FVRXKzE/\nP5g7F554Qk5q8DRms5ljucc4fPUw1aZqSzwqLApvvTdVpioNsxP1Ydet1W3btvHSSy+Rl5dn+806\nHUaj0WnJ3c+ZM2f4wx/+wIoVK/jggw+IiYlh9uzZP/o6ubUqhBD2qaqCdesgNdUaa9FCGS0SEaFd\nXsI5akw1bLm4hVPXT3Hs4DHKOpTh6+VLYstEQv1DAWiV34rXZr6mcaZNi1Nvrb722mssWrSIkpIS\nTCaT5R+1mziAI0eOMHbsWEA5A/bQoUOq5yCEEJ7izh3lVmrdJi42Fl5+WZo4T1RcWczy08s5df0U\nADExMQReCaRf236WJq4yvZKRfUdqmaaoB7sauTt37vDqq68SGBjo7HweqbCwkJB/PzLVrFkzCgoK\nNM5I1JL9LOqSeqvLE+t9+TIsXQo3blhjjz8Ozz0HAQHa5VXLE2uupZyiHP5x4h9cvXvVEhvZZyS/\nn/17IgsiubXnFq3yW8mDDipRdY/cSy+9xD//+U+HXLDWX//6V/r374+/vz8vvviizecKCgqYNm0a\nwcHBREdHs2rVKsvnwsLCuHv3LgBFRUU0b97coXkJIURTcOIEfP45lJUpr728YMoUGDsW9PXaPS3c\nwcm8kyw/vZySqhIA9Do94+LGMbXLVBLjE3lt5mvMGDGD12a+Jk2cm7Frj9yQIUM4duwYUVFRtGnT\nxvrNOl2D58itW7cOvV7P9u3bKS8v57PPPrN8bs6cOQB8+umnnDp1igkTJnD48GG6devGmTNn+NOf\n/sTnn3/OBx98QGxsLLNmzfrxv5jskRNCiB8xGpVTGo4ds8aCg2HWLIiM1C4v4RxGk5FtGds4fu24\nJRboE8iz3Z6lU7hMnnAlTj3Z4eWXX+bll1++70Ubatq0aQD88MMPXL1qXeYtLS3l22+/JSUlhcDA\nQAYPHsyUKVNYsWIFH374Ib169aJ169YMGzaMqKgo/uM//uOB11iwYAHR0dGAspLXu3dvy3EYtUua\n8lpey2t53VReDxgwnK+/hr17ldfR0cNp2xbatzeQmQmRka6Vr7xu3OvHnniMr1K+Yt++fQBE946m\ndVBrOhR04PKZy3Qa3sml8m1qr2s/zs7OpjHsWpFzpt/+9rfk5uZaVuROnTrFkCFDKC0ttXzNn/70\nJwwGAxs3brT758qKnPoMBoPljSqcT+qtLnevd36+MuS3sNAaS0xU5sP5+GiX18O4e821dK34GmuS\n11BUaZ3qnNgykSldpuDr5Xvf75F6q+veejt1Rc5sNvPZZ5+xYsUKcnNz6dChA/PmzePFF19s1Koc\n/HhVr6SkhGbNmtnEQkJCKC4ubtR1hBCiqUpLg2++UcaM1BoxAoYOlflwnujsjbNsTNtIjUmZs6pD\nx8iYkQyOHNzoP7OF67Grkfvggw/44osv+PWvf03Hjh25cuUKv//977l27Rq//e1vG5XAvd1ncHCw\n5WGGWkVFRZYnVYXrkr/JqUvqrS53rLfZDAcPwp49yscAvr4wfTp06aJtbvZwx5pryWQ2sStrF4dz\nDlti/t7+PNP1GTq36PzI75d6q8tR9barkVu2bBn79u0jKirKEhs7dixDhw5tdCN3798O4uPjqamp\nISMjg7i4OEAZAty9e/d6/+ykpCSGDx8ub04hRJNTXQ0bNkBysjUWHq4cet+6tXZ5Cecory5n7fm1\nZBZmWmIRgRHM6T6HFoEtNMxMPIrBYLDZN1dfenu+qKysjIh7JkO2aNGCioqKBl/YaDRSUVFBTU0N\nRqORyspKjEYjQUFBTJ8+nXfffZeysjIOHjzIpk2bmD9/fr2vUdvICXU05o0o6k/qrS53qndREfzz\nn7ZNXHQ0vPKKezVx7lRzLeWX5rP0xFKbJi6hRQKv9H2lXk2c1FtddR+CSEpKavDPsauRGzduHPPm\nzePChQuUl5eTmprK888/bzlhoSHef/99AgMD+d3vfsfKlSsJCAjgv/7rvwD46KOPKC8vp1WrVsyb\nN4+PP/6Yrl27NvhaQgjRVOTkwLJlUPdExcceg/nzwQVmugsHS72ZyicnP6GwwvoUy5NRTzK7+2z8\nvP00zEyoxa6nVouKinjjjTdYs2YN1dXV+Pj4MHPmTP73f/+XsLAwNfKsN51Ox+LFi+XWqhCiyTh9\nGjZtUmbFgTLYd/x46N9f27yE45nNZvZm72X/5f2WmK+XL9O6TKNrS1n4cCe1t1aXLFnSoKdW6zV+\nxGg0cuvWLSIiIvDy8qr3xdQk40eEEE2FyQQ7d8KRI9ZYYCDMnKncUhWepbKmkm9TvyXtdpolFu4f\nzpwec2gV1ErDzERjNLRvsevW6ueff86ZM2fw8vKidevWeHl5cebMGVasWFHvCwrPJfsr1CX1Vper\n1ru8HP71L9smrnVrZT+cuzdxrlpzLd0qu8Wyk8tsmrjY8Fh+0u8njW7ipN7qclS97XpqddGiRZw+\nfdom1qFDByZNmtSghxCEEEI03q1bypDf27etsa5dYdo0ZcyI8Czpt9NZe34tlcZKS+yJyCcYFTMK\nvc6udRnhgey6tRoeHs6tW7dsbqfW1NTQokULioqKHvKd2pFbq0IIT5aergz5rTs84MknYfhwGfLr\nacxmMwevHGTPpT2YUf5c89Z7MyVhCj1a99A4O+EoTj3ZoWvXrqxdu9bmcPp169a5/JOkMkdOCOFp\nzGblNurOndYhvz4+ylFbiYna5iYcr8pYxYYLG0i5mWKJhfqFMrv7bNqGtNUwM+EojZ0jZ9eK3MGD\nBxk/fjyjR48mJiaGzMxMdu3axdatWxkyZEiDL+5MsiKnPjmnT11Sb3W5Qr1rapSnUs+cscZCQ5Uh\nv2098M90V6i5lgrLC1mdvJobpTcssajQKGYmziTIN8jh12vq9Vabo85ateum+pAhQzh37hz9+/en\nrKyMAQMGkJKS4rJNnBBCeJriYli+3LaJ69hReajBE5u4pi6rMIulJ5baNHED2g/g+V7PO6WJE+6r\n3uNHbty4Qbt27ZyZk0PIipwQwlPk5sLq1UozV6tvX2VGnLddG2SEuzCbzRzNPcqOzB2YzCYAvHRe\nTIifQN+2fTXOTjiTU1fkCgsLmTt3LgEBAZbzTzdu3Njoc1aFEEI83Llz8Nln1iZOr4enn4ZJk6SJ\n8zTVxmrWX1jPtoxtliYuxDeEBb0XSBMnHsiuRu6nP/0pzZo14/Lly/j5KUd+PP7446xevdqpyTVW\nUlKSzMVRkdRaXVJvdaldb5MJdu1SnkytqVFiAQEwbx4MHNg0nkxtSu/xu5V3+ez0Z5y5Yb133qFZ\nB37S7ydEhkaqkkNTqrcrqK23wWBo1Fmrdv19bvfu3eTl5eHj42OJtWzZkvz8/AZfWA2NKYwQQmil\nslJp4C5etMZatlQeamhh/xnowk1cKbrCmuQ1lFaXWmJ92vRhQvwEvPWy7OrpaqdrLFmypEHfb9ce\nubi4OPbv30+7du0IDw+nsLCQK1euMGbMGC5cuNCgCzub7JETQrijggJlyO/Nm9ZYfDxMnw7+/trl\nJZzjh2s/8F36dxjNygG5ep2ecXHjeKzdY+iawrKrsHDqHLmXX36ZGTNm8H/+z//BZDJx5MgR3n77\nbV599dV6X1AIIcT9ZWXB118rx27VGjIERoxQ9sYJz2E0GdmavpUTeScssUCfQGYmziQ6LFq7xITb\nsetXw29+8xtmzZrFz3/+c6qrq3nxxReZMmUKb775prPzE25E9leoS+qtLmfW22yGo0dh5UprE+ft\nrazCjRrVdJs4T32Pl1SV8PmZz22auLbBbflJv59o2sR5ar1dlapnrep0On7xi1/wi1/8wiEXFUII\noTAaYcsWOHnSGgsJUfbDtW+vXV7COXLv5rImZQ13K+9aYj1a9WBywmR8vHwe8p1C3J9de+T27NlD\ndHQ0MTEx5OXl8Zvf/AYvLy8+/PBD2rRpo0ae9abT6Vi8eLEc0SWEcFmlpbBmDVy5Yo21b680cSEh\n2uUlnOPM9TNsuriJGpPyGLIOHaNiRvFE5BOyH64Jqz2ia8mSJQ3aI2dXI9elSxd27NhBx44dmTNn\nDjqdDn9/f27dusXGjRsblLizycMOQghXdv268lBDUZE11quXzIfzRCaziR2ZO/j+6veWmL+3PzO6\nzSCueZyGmQlX4tSBwNeuXaNjx45UV1ezfft2/vGPf/Dxxx9z6NChel9QeC7ZX6Euqbe6HFnv8+fh\n00+tTZxOB2PGKAffSxNn5Qnv8bLqMlacWWHTxLUKasVP+v3E5Zo4T6i3O1F1j1yzZs24fv06KSkp\nJCYmEhISQmVlJdXV1Q5JQgghmgKzGQwG2LfPGvPzgxkzoHNnzdISTnK95Dqrk1dzp+KOJdY1oitT\nu0zFz9tPw8yEJ7Hr1urvfvc7/va3v1FZWclf/vIX5syZw549e/jP//xPjh49qkae9Sa3VoUQrqSq\nCtatg9RUa6xFC5gzByIitMtLOEdKfgrrL6yn2mRd8Hgq+imGRQ2T/XDivhrat9jVyAGkpaXh5eVl\nOWv14sWLVFZW0qNHj3pfVA3SyAkhXMWdO8p+uBs3rLHYWGUlLiBAu7yE45nMJvZe2suBKwcsMV8v\nX6Z3nU6XiC4aZiZcnVP3yAEkJCRYmjiA+Ph4l23ihDZkf4W6pN7qami9L1+GpUttm7jHH4fnKeGI\nJQAAIABJREFUnpMm7lHc7T1eUVPBqnOrbJq4FgEteKXvK27RxLlbvd2d0/fIdenSxXL8VmTk/Q/s\n1el0XKn73LyLSUpKkvEjQgjNnDihzIgzmZTXXl4wcSL06aNtXsLxbpbeZHXyam6X37bE4prHMaPb\nDPy95Ww18WC140ca6oG3Vg8cOMDQoUMtF3kQV22S5NaqEEIrRiNs3w7HjlljwcEwaxY84O/Fwo2l\n3Urj29RvqTRWWmJDOg5hRKcR6HVN9FgOUW9O3yPnbqSRE0JooaxMOS/10iVrrG1bZchvaKh2eQnH\nM5vN7L+8n73Zey0xH70PU7tMJbFVooaZCXfU0L7lgbdWFy1a9MAfWhvX6XS899579b6o8EwGg8Fl\nV2g9kdRbXfbUOz9feaihsNAaS0xU5sP5yOlL9ebK7/HKmkrWX1hP6i3rY8hh/mHM7j6bNsGueeLR\no7hyvT2Ro+r9wEYuJyfnoY9I1zZyQgghIC0NvvlGGTNSa8QIGDpUGfgrPEdBeQGrk1eTX5pviXUK\n68Szic8S6BOoYWaiKZJbq0II0QhmMxw8CHv2KB8D+PrC9OnQxfUfVBT1lFmQydrzaymvKbfEBnUY\nxOiY0XjpvTTMTLg7h99azcrKsusHxMTE1PuiQgjhCaqrYcMGSE62xsLDlf1wrVtrl5dwPLPZzJGr\nR9iZuRMzyh+23npvJsZPpHeb3hpnJ5qyB67I6fWPftJGp9NhNBodnpQjyIqc+mR/hbqk3uq6t95F\nRbB6NeTlWb8mOhpmzoRAubvmEK7yHq82VrMxbSPn8s9ZYs38mjErcRbtm7XXMDPHcpV6NxX31tvh\nK3Km2sFHQgghbOTkwJo1UFJijT32GIwbp8yKE56jqKKI1cmrySuxduyRzSKZ1X0Wwb7BGmYmhMKj\n98gtXrxYBgILIRzq9GnYtEmZFQeg18P48dC/v7Z5Cce7fOcyX6V8RWl1qSXWr20/nu78NN76B66D\nCFEvtQOBlyxZ4tg5cmPHjmX79u0AlsHAP/pmnY79+/fX+6JqkFurQghHSEu7zK5dmVRW6snMNKHT\nxRIREQUot1BnzlRuqQrPYTabOX7tONsytmEyK3en9Do94zuPp3876diFczj81urzzz9v+fill156\n4EWFqCX7K9Ql9Xa+tLTLLF+egV4/kn37DHh7j6CmZje9e0NiYhSzZysPNwjn0OI9XmOqYWv6Vk7m\nnbTEgnyCmJk4k6iwKFVzUZv8TlGX0+fIPffcc5aPFyxY0OgLCSGEu9m1K5OqqpGcP6/shwsLA2/v\nkZSV7eGll6Lw9dU6Q+FIxZXFrElZw9W7Vy2xdiHtmJU4i1B/OZZDuCa798jt37+fU6dOUVqq7BWo\nHQj89ttvOzXBhpJbq0KIxjCb4c03DZw9O5y6v0qioqB3bwO//OVwzXITjnf17lXWJK+huKrYEuvZ\nuieT4ifh4yXHcgjnc/it1breeOMNvvrqK4YOHUpAQEC9LyKEEO6ktBTWrYP0dJOlifPyUgb8tmwJ\nfn7yVL8nOZV3is0XN2M0K0+w6NAxJnYMgzoMki1EwuXZtSIXHh5OSkoK7dq1UyMnh5AVOfXJ/gp1\nSb2dIysLvv1WuZV669ZlTp/OIDx8JMHBBhIShlNZuZsFC+JISPDs/VKuwNnvcaPJyPbM7RzLPWaJ\nBXgH8Gzis8SEN71h9/I7RV1OnyNXV2RkJL6yGUQI4cGMRti7Fw4dsh61FRERxcKFUFq6h7S0s7Rq\nZWLkSGniPEFpVSlfn/+a7DvZlljroNbM7j6b8AB5gkW4D7tW5I4fP84HH3zA3LlzaX3PuTPDhg1z\nWnKNIStyQgh7FRYqB95fte5xJyhIOS81Nla7vIRz5BXnsTp5NUWVRZZYt5bdmNplKr5esmghtOHU\nFbkTJ06wdetWDhw48KM9cjk5OfW+qBBCuIqUFNi4ESorrbHYWJg2DYJlcL/HOXfjHBvTNlJtqgaU\n/XBPdXqKoR2Hyn444ZYefaAq8M4777B582Zu3bpFTk6OzT9C1DIYDFqn0KRIvRunulpp4L7+2trE\n6fUwejTMm/fjJk7qrT5H1txkNrEzcyffpH5jaeL8vPyY02MOw6KGSROHvMfV5qh627UiFxQUxJNP\nPumQCwohhNZu3IC1a+HmTWssPBxmzID2nnMGuvi38upy1p5fS2ZhpiUWERjB7O6ziQiM0DAzIRrP\nrj1yy5cv59ixYyxatOhHe+T0ersW9VQne+SEEPcym+GHH2D7dqipscZ79ICJE8HPT7vchHPkl+az\nOnk1BeUFllh8i3imd52Ov7e/hpkJYauhfYtdjdyDmjWdToex9uRoF6PT6Vi8eDHDhw+Xx6mFEJSX\nK7dSU1OtMR8f5cD73r1B7qx5ngu3LvBt6rdUGasssWFRw3gq+im5lSpchsFgwGAwsGTJEuc1ctnZ\n2Q/8XLSLnhYtK3LqkxlE6pJ62+/yZWU2XJH1IUXatFFupUbYeWdN6q2+htbcbDaz7/I+DNkGS8zX\ny5epXabSrWU3xyXoYeQ9ri5V58i5arMmhBAPYzLBgQNgMGBzzNbAgcpDDd52/QYU7qSyppJvU78l\n7XaaJRbuH87s7rNpHdz6Id8phHuy+6xVdyMrckI0bXfvKqtwdW8oBATA1KmQkKBZWsKJbpfdZnXy\nam6WWZ9iiQmPYUa3GQT6BGqYmRCP5tQVOSGEcCdpabB+vbIvrlZUFDzzDDRrpl1ewnnSb6fzTeo3\nVNRUWGJPRD7BqJhR6HWu+VCeEI4g727hMDKDSF1S7x+rqYHvvoNVq6xNnE4HTz0FL7zQuCZO6q0+\ne2puNps5eOUgX5770tLEeeu9md51OmNix0gTVw/yHleXqnPkhBDC1d26pcyGu37dGmvWTFmFi5Kj\nUT1SlbGKjWkbSc5PtsSa+TVjdvfZtAtpp2FmQqjHrj1yWVlZvPPOO5w+fZqSkhLrN+t0XLlyxakJ\nNpTskROiaTCb4fRp2LpVOa2hVpcuMGWKsi9OeJ47FXdYnbya6yXWzr1jaEdmJs4k2FfOVhPux6l7\n5ObOnUtcXBx/+tOffnTWqhBCaKWyEjZvhnPnrDFvbxg7Fvr3l9lwnupS4SW+Pv81ZdVllthj7R5j\nXNw4vPReGmYmhPrsWpFr1qwZhYWFeHm5z38gsiKnPplBpK6mXu/cXOVWamGhNdaypTIbrrUTpkw0\n9Xpr4d6am81mjuYeZUfmDkxmEwBeOi/Gdx5Pv3b9NMrSc8h7XF2qzpEbNmwYp06don///vW+gBBC\nOJLZDIcPw+7dypy4Wn37wrhx4OurXW7CeWpMNWy+uJnT109bYsG+wcxMnEnH0I4aZiaEtuxakXv9\n9ddZs2YN06dPtzlrVafT8d577zk1wYaSFTkhPE9JiTJWJCPDGvPzg0mToHt37fISznW38i5rkteQ\nW5xribUPac+s7rNo5ifzZIRncOqKXGlpKRMnTqS6upqrV68CyhK3nFUnhFBLZiasW6c0c7U6dFCe\nSg0P1y4v4Vw5RTmsSVlDSZX1//jebXozMX4i3noZvCCEnOwgHEb2V6irqdTbaIQ9e+DQIWtMp4PB\ng5X5cGpt3W0q9XYFaRlp7DqxC8NRA2XNy+gU04mIdhHodXrGxo5lQPsBspDgBPIeV5fT98hlZ2db\nzljNysp64A+IiYmp90WFEMIehYXKAw251jtqBAfDtGkQG6tdXsJ50jLS+GzPZ1xpcYV033TCOoRx\n+vxpBnkP4vXRr9MpvJPWKQrhUh64IhcSEkJxcTEAev39J2PrdDqMRqPzsmsEWZETwr0lJ8OmTcqI\nkVpxcUoTFxSkXV7CuT784kMOeR+yuZUa7BvMcNNw3pr3loaZCeFcDe1bHnh2SW0TB2Ayme77jxZN\n3N27dxkwYAAhISGcP39e9esLIZyrqgo2bFBW4mqbOC8vGDMGnntOmjhPZTQZ2XtpL/uu7LNp4loF\ntaJPmz54e8t+OCHux+0OoQsMDGTr1q3MmDFDVtxcjJzTpy5PrPf167B0KZw6ZY01bw4vvQRPPKHt\ngF9PrLeryCvOY+mJpey7vA/9v/9Y0uv0BOUG0TWiK156L3z1MlfG2eQ9rq4me9aqt7c3ERERWqch\nhHAgsxmOH4ft25WHG2r16AETJyojRoTnqTHVsP/yfg5eOWgZ8BsTE8OlrEskDkwkvzAfnU5HZXol\nI58aqXG2Qrgmt31q9cUXX+Stt94iMTHxvp+XPXJCuIeyMti4ES5csMZ8fWH8eOjVS47Z8lTXiq+x\n/sJ68kvzLTEfvQ8jY0YSWh7K3lN7qTJV4av3ZWTfkSTEJWiYrRDO59Q5co7y17/+leXLl5OcnMyc\nOXP47LPPLJ8rKCjgpZdeYufOnURERPDhhx8yZ84cAP785z+zceNGJk6cyK9//WvL98jj50K4t8uX\n4Ztv4O5da6xNG+WYLVl490w1phr2Ze/jUM4hyyocKAfeT0mYQovAFgB07dxVqxSFcCv13iN37wMP\n9dG+fXsWLVrEwoULf/S5119/HX9/f/Lz8/nXv/7Fz372M8vDDL/85S/Zu3evTRMHyIqbi5H9Fepy\n53qbTGAwwPLltk3coEHw8suu2cS5c71dRe7dXJaeWMqBKwcsTZyP3oen457mxd4vWpq4WlJzdUm9\n1aXqHrkTJ07w85//nDNnzlBRUWGJ13f8yLRp0wD44YcfLCdEgHJyxLfffktKSgqBgYEMHjyYKVOm\nsGLFCj788MMf/Zzx48dz5swZ0tLSePXVV3nhhRfszkEIoa2iIvj2W2U1rlZgIEydCvHx2uUlnKfG\nVIMh28ChK4cwY/0LeFRoFFO6TKF5QHMNsxPCvdnVyL3wwgtMnjyZTz/9lMDAwEZf9N6VtIsXL+Lt\n7U1cXJwl1qtXrwd2q1u3brXrOgsWLLAMNQ4LC6N3796WKcq1P1teO/Z1LVfJx9Nf13KVfB71uk2b\n4WzYAKmpyuvo6OFER0PLlgauXYP4eNfK193r7Qqvr969yu//9XuKKouI7h0NQM6ZHPq368+CJxeg\n0+lcKl95La/Veg2QlJREdnY2jWHXww7NmjWjqKjIYXvSFi1axNWrVy175A4cOMDMmTPJy8uzfM2y\nZcv48ssv2bt3b4OuIQ87COE6ampgxw44dswa0+mUI7aGDAG9XrvchHPUmGrYe2kvh3MO26zCRYdF\nMyVhCuEBckCuEHU5fCBwXdOmTWP79u31/uEPcm+iwcHB3K27UQYoKioiJCTEYdcUzlf3bxnC+dyl\n3jdvwrJltk1caCi8+CIMG+Y+TZy71NsVXL17lY9/+JhDOdZbqb5evkzoPIEXer1gdxMnNVeX1Ftd\njqq3XbdWy8vLmTZtGkOHDqV169aWuE6n44svvqj3Re9d2YuPj6empoaMjAzL7dUzZ87QvXv3ev/s\nupKSkhg+fLhlOVMIoR6zWRns+913UF1tjXftCpMnQ0CAdrkJ56g2VrM3ey9Hco7YrMJ1CuvE5ITJ\nsgonxH0YDIZGNXV23VpNSkq6/zfrdCxevNjuixmNRqqrq1myZAm5ubksW7YMb29vvLy8mDNnDjqd\njk8++YSTJ08yceJEjhw5QteuDXsEXW6tCqGdigrYvFk5L7WWtzeMGwf9+slsOE+UU5TD+gvruV1+\n2xLz9fJlTOwY+rXtJ+OihHiEhvYtqg4ETkpK4r333vtR7N1336WwsJCFCxda5sj993//N7Nnz27w\ntaSRE0IbV68qs+EKC62xli3h2WehVSvt8hLOUW2sZs+lPXx/9XubVbiY8BgmJ0wmzD9Mw+yEcB9O\nb+T27t3LF198QW5uLh06dGDevHmMGDGi3hdUizRy6jMYDHIbW0WuVm+zGQ4dgj17lDlxtfr1U1bi\nfHy0y80RXK3eruBK0RU2XNhgswrn5+XHmNgx9G3bt9GrcFJzdUm91XVvvZ36sMMnn3zCrFmzaNu2\nLdOnT6dNmzbMnTuXpUuX1vuCakpKSpLNm0KooKQEVqyAXbusTZy/v7IKN2mS+zdxwla1sZptGdv4\n7NRnNk1cbHgsrz32Gv3aya1UIexlMBgeuIXNHnatyHXu3Jm1a9fSq1cvS+zs2bNMnz6djIyMBl/c\nmWRFTgh1ZGTAunVQWmqNRUbCM89AmNxV8ziX71xmQ9oGCsoLLDE/Lz/Gxo2lT5s+0sAJ0UBOvbXa\nokUL8vLy8PX1tcQqKytp164dt2/ffsh3akcaOSGcy2iE3bvh8GFrTKdT5sINHw5eXpqlJpygyljF\n7qzdHMs9ZrMXLq55HJPiJxHqH6phdkK4P6feWh08eDC/+tWvKP33X7lLSkp46623eOKJJ+p9QeG5\n5Da2urSsd0EBfPqpbRMXHAzz58PIkZ7ZxDXl93f2nWz+fvzvHM09amni/Lz8mJIwhed6POe0Jq4p\n11wLUm91qTpH7uOPP2b27NmEhobSvHlzCgoKeOKJJ1i1apVDknAWmSMnhOOdPQtbtkBlpTXWubNy\nVmpQkHZ5CcerMlaxK2sXx3KP2cQ7N+/MpIRJNPNrplFmQngOVebI1crJyeHatWu0a9eOyMjIBl9U\nDXJrVQjHqqqCrVvh9GlrzMsLRo2CQYNkNpynuVR4iY1pGymssM6R8ff2Z1zcOHq17iV74YRwMIfv\nkTObzZb/UE11ZwncQ++i5+tIIyeE41y/Dl9/DXW3xDZvDjNmQLt22uUlHK/KWMXOzJ0cv3bcJh7f\nIp6J8RNlFU4IJ3H4Hrlmzaz/sXp7e9/3Hx+ZKSDqkP0V6lKj3mYzHD2qnJVat4nr1QtefbVpNXFN\n4f19qfASHx3/yKaJ8/f2Z1qXaczpPkf1Jq4p1NyVSL3V5fQ9cikpKZaPs7KyHHIxIYT7KCuDDRsg\nLc0a8/WFCROURk54jsqaSnZm7eSHaz/YxBNaJDAxfiIhfiEaZSaEeBS79sj94Q9/4K233vpR/E9/\n+hO/+tWvnJJYY9WeAysPOwhRf9nZyjFbxcXWWNu2yq3UFi00S0s4QVZhFhvTNnKn4o4lFuAdwNOd\nn6ZHqx6yF04IJ6t92GHJkiXOmyMXEhJCcd3f6P8WHh5OYd0DFV2I7JETov5MJti3D/bvV26r1ho0\nSHmowduu59yFO6isqWRH5g5O5J2wiXeJ6MKEzhNkFU4IlTW0b3nor+U9e/ZgNpsxGo3s2bPH5nOZ\nmZk2++iEkHP61OXoehcVKatwV65YY4GByliR+HiHXcZtedL7O7Mgk41pGymqLLLEArwDGN95PN1b\ndXeZVThPqrk7kHqry1H1fmgjt3DhQnQ6HZWVlbz00kuWuE6no3Xr1vzv//5voxMQQmgvNVXZD1dR\nYY116gTTp0OILMx4jIqaCnZk7uBk3kmbeNeIrkyIn0Cwb7BGmQkhGsquW6vz589nxYoVauTjMHJr\nVYhHq66GHTvgeJ1JE3o9PPUUDB6sfCw8Q0ZBBhvTNnK38q4lFugTyPjO40lsmegyq3BCNFVOPWvV\nHUkjJ8TD5efD2rXK/9YKDVUeaHDxed+iHipqKtiesZ1T10/ZxLu17Mb4zuNlFU4IF+HUs1aLior4\n5S9/Sd++fYmKiiIyMpLIyEg6duxY7wuqKSkpSebiqEhqra6G1ttshhMnlNlwdZu4bt3gpz+VJu5B\n3PH9nX47nY+Of2TTxAX6BPJst2eZmTjT5Zs4d6y5O5N6q6u23gaDgaSkpAb/HLueQXv99dfJycnh\n3Xfftdxm/f3vf88zzzzT4AuroTGFEcITVVTApk1QZ0wk3t7w9NPQt68cs+UpKmoq2JaxjdPXT9vE\nE1smMr7zeIJ85VBcIVxF7Zi0JUuWNOj77bq12rJlS1JTU4mIiCA0NJSioiJyc3OZNGkSJ0+efNS3\na0JurQphKydHeSr1jnVcGK1aKbdSW7XSLi/hWBdvX2RT2iaKq6wjo4J8gpgQP4FuLbtpmJkQ4mGc\nMn6kltlsJjQ0FFBmyt25c4e2bduSnp5e7wsKIdRlMsGhQ7B3r/Jxrf79YexYkJP2PEN5dTnbMrZx\n5sYZm3j3Vt15Ou5pWYUTwkPZtUeuZ8+e7N+/H4AhQ4bw+uuv89Of/pSEhASnJifci+yvUJc99S4u\nhpUrYfduaxPn7w8zZ8LEidLE1Ycrv7/TbqXx0fGPbJq4IJ8gZiXOYka3GW7bxLlyzT2R1FtdTj9r\nta5ly5ZZPv5//+//8fbbb1NUVMQXX3zhkCSEEI6Xng7r1ilnptaKjIRnnoGwMO3yEo5TXl3Odxnf\ncfbGWZt4j1Y9eLrz0wT6BGqUmRBCLXbtkTt69CgDBw78UfzYsWMMGDDAKYk1luyRE02V0Qi7dsGR\nI9aYTgdDh8Lw4TIbzlNcuHWBzRc3U1JVYokF+wYzMX4iXSK6aJiZEKIhnLpHbtSoUfc9a3XcuHEU\nFBTU+6JqSUpKsjwNIkRTcPu28kDDtWvWWEiIckJDp07a5SUcp6y6jO/Sv+Nc/jmbeM/WPRkXN05W\n4YRwMwaDoVG3WR+6ImcymTCbzYSFhVFUVGTzuczMTAYPHkx+3UFULkRW5NQn5/Sp6956nz0LmzdD\nVZX1a+LjYcoUCHLPLVIuxRXe36k3U9mSvuVHq3CT4ieREOF5e5ZdoeZNidRbXffW2ykrct7e3vf9\nGECv1/POO+/U+4JCCMeqrIStW+FMnYcVvbxg9GgYOFBmw3mCsuoytqZvJTk/2Sbeq3UvxsWNI8An\nQKPMhBBae+iKXHZ2NgDDhg3jwIEDlk5Rp9PRsmVLAgNddwlfVuREU5CXpxyzdfu2NdaihTIbrm1b\n7fISjnP+5nm2XNxCaXWpJRbiG8KkhEnEt4jXMDMhhCPJWav3kEZOeKq0tMvs3JlJRoae9HQTnTrF\nEhERBUDv3sopDX5+GicpGq20qpSt6VtJuZliE+/dpjdjY8fKKpwQHsapjdz8+fPve0HAZUeQSCOn\nPtlf4XxpaZdZtiyDS5dGkplpICxsODU1u3nssThefDGKnj21ztBzqfn+TslPYWv61h+twk1OmEzn\nFp1VycEVyO8UdUm91aXKHrlasbGxNhe4fv0633zzDc8991y9LyiEaLgVKzI5c2Yk1dXWWHj4SNq2\n3UPPnlHaJSYcorSqlC3pWzh/87xNvE+bPoyNG4u/t79GmQkhXFWDb63+8MMPJCUlsXnzZkfn5BCy\nIic8SXk5fPcdLF1qoKJiuCXeoQPExEDz5gbefHP4A79fuDaz2UzKTWUVrqzaOsG5mV8zJidMJq55\nnIbZCSHU4NQVufvp3bs3+/bta+i3CyHslJEBGzfC3bug1yvnbPn5QZcuEB6ufI2vr+khP0G4spKq\nErZc3ELqrVSbeN+2fRkTO0ZW4YQQD2VXI7d7927LnjiA0tJSVq9eTWJiotMSE+5H9lc4VlUV7NgB\nP/xgjcXExHLt2m66dRvJ1asGwsOHU1m5m5EjZcXG2Rz9/jabzSTnJ/Ndxnc2q3ChfqFMSpgkq3DI\n7xS1Sb3V5ah629XIvfTSSzaNXFBQEL1792bVqlWNTsCZ5GQH4a6uXIH166HuwSlBQTB7dhQ6Heze\nvYc7d87SqpWJkSPjSEiQ/XHupKSqhM0XN3Ph1gWbeL+2/RgTOwY/b3nsWIimwqknO7gz2SMn3FFN\nDezdC4cPQ923b9euMHGinNDg7sxmM+fyz/Fd+neU15Rb4qF+oUxOmExs81gNsxNCaMnpe+Tu3LnD\nli1buHbtGu3atWP8+PGE127QEUI0Wl4erFsHdU+98/OD8eOhZ085ocHdFVcWs/niZtJup9nE+7fr\nz+iY0bIKJ4RoEL09X7Rnzx6io6P5n//5H44fP87//M//EB0dza5du5ydn3AjjVkabspMJti/H5Yt\ns23iYmLgtdegV6/7N3FSb3U1tN5ms5kz18/w0fGPbJq4MP8wnu/1PBPjJ0oT9wDyHleX1Ftdjqq3\nXStyr7/+OkuXLmXmzJmW2Ndff83Pf/5zLly48JDvFEI8zK1byipcbq415uOjnJP62GOyCufuiiuL\n2XRxExdvX7SJP9buMUbFjJIGTgjRaHbtkQsLC+P27dt4eXlZYtXV1bRs2ZI7d+44NcGGkj1ywpWZ\nzXD0KOzapeyLqxUZCVOnKuelCvdlNps5c+MM2zK2UVFTYYmH+YcxJWEKncI7aZidEMIVOXWP3Pz5\n8/nrX//KL37xC0vs73//+32P7hJCPNydO7BhA1y6ZI15ecFTT8ETT4Derg0PwlXdrbzLprRNpBek\n28QHtB/AqJhR+Hr5apSZEMIT2bUiN3jwYI4dO0arVq1o3749ubm55OfnM3DgQMtYEp1Ox/79+52e\nsL1kRU59MoPo4cxmOH0atm2DykprvHVrmD5d+d/6kHqr61H1NpvNnL5+mu2Z221W4cL9w5nSZQrR\nYdHOT9LDyHtcXVJvdal61uorr7zCK6+88tCv0clmHiEeqKQENm2CtDoPLOp0MGQIDB+urMgJ93W3\n8i4b0zaSUZBhEx/YfiAjY0bKKpwQwmlkjpwQTnb+PGzeDGXW4f20aAHTpilnpQr3ZTabOXX9FNsz\ntlNptC6zNg9ozpSEKUSFyaBmIYR9nD5Hbv/+/Zw6dYrS0lJA+QWm0+l4++23631RIZqC8nLYuhXO\nnbONDxwIo0YpT6cK91VUUcTGtI1kFmZaYjp0DOwwkBGdRsgqnBBCFXZtq37jjTd49tlnOXDgAKmp\nqaSmpnLhwgVSU1Mf/c2iyZAZRFYZGfDRR7ZNXGgoPP88PP20Y5o4qbe6auttNps5ce0EHx3/yKaJ\nax7QnBf7vMi4uHHSxDmIvMfVJfVWl6pz5FauXElKSgrt2rVzyEWF8FT3O+geoHdvGDcO/P21yUs0\nXFpGGrtO7CI1JZXjV49jDjdTFmS9T65Dx6AOgxjRaQQ+XrLMKoRQl1175Hr27MmePXuIiIhQIyeH\n0Ol0LF68mOHDh8tTOEIVV64ow30LC62xoCCYNAm6dNEuL9FwaRlpLN+7HN84X/JK8siQvPG4AAAg\nAElEQVQsyKQyvZLe3XoT0S6CFgEtmNplKpGhkVqnKoRwUwaDAYPBwJIlSxq0R86uRu748eN88MEH\nzJ07l9b3zEgYNmxYvS+qBnnYQahFDrr3XH9b8zeuRVwj9VYqBeUFlnjQ1SB+MecXPBX9lKzCCSEc\nwqkPO5w4cYKtW7dy4MABAgICbD6Xk5NT74sKz9QUZxDd76B7f3/loPsePZx7xFZTrLfaCisKOZl3\nkvKacu5cuENYlzACfQLp374/Y2LHaJ2ex5P3uLqk3upyVL3tauTeeecdNm/ezOjRoxt9QSE8gckE\nBw7Avn3Kx7ViY2HKFGjWTLvchGOk307n2NVjlLcvt8Qim0USHRZN61v1nN4shBBOYtet1Y4dO5KR\nkYGvr/s8iSW3VoWzPOig+zFjoH9/Oeje3ZnNZg7nHGZX1i5uXrvJ6fOn8e3sS9eIrrQMaklleiUL\nnlpAQlyC1qkKITxIQ/sWuxq55cuXc+zYMRYtWvSjPXJ6Fz0YUho54WgPO+h+2jRo3ly73IRjVBur\n2XRxE2dvnLXEKm5VEFoWSoBvAL56X0b2HSlNnBDC4ZzayD2oWdPpdBiNxnpfVA3SyKnPk/dX3LkD\n69dDdrY1pvVB955cby3crbzLmuQ15BZbl1o7hnZkVuIsgnyDpN4akJqrS+qtLlXPWs3Kyqr3DxbC\nE5jNcOoUbN9ue9B9mzbKKlx9D7oXrin3bi6rk1dTXFVsifVt25cJnSfgpZeDcIUQrqteZ62aTCZu\n3LhB69atXfaWai1ZkRONVVICGzfCxYvWmE4HQ4fCk0/KQfee4uyNs2xM20iNSblfrtfpGRc3jsfa\nPYZONjwKIVTS0L7Frm7s7t27PP/88/j7+9O+fXv8/f15/vnnKSoqqvcFhXAHKSnwt7/ZNnEtWsBL\nL8GIEdLEeQKT2cTOzJ18m/qtpYkL8A5gXs95DGg/QJo4IYRbsPus1dLSUpKTkykrK7P87xtvvOHs\n/IQb8YRz+srLYe1a+Ppr5eNaAwfCT38KHTpol9u9PKHeWqmoqWDVuVUcyjlkibUMbMkr/V4hJjzm\nvt8j9Vaf1FxdUm91qXrW6rZt28jKyiLo3yPq4+PjWb58OTEx9/+FJ4Q7Sk9XbqUWW7dJERoKU6dC\np07a5SUc63bZbVYlr+JW2S1LLKFFAtO7TsfP20/DzIQQov7s2iMXHR2NwWAgOjraEsvOzmbYsGFc\nuXLFmfk1mOyRE/aqrFQOuj9xwjYuB917nsyCTL4+/zUVNRWW2NCOQxnRaYTcShVCaMqpT62+/PLL\njB49ml//+tdERUWRnZ3Nn//8Z1555ZV6X1AIV3L5sjJW5N6D7idPhgQZFeYxzGYz31/9nh2ZOzCj\n/KL01nszJWEKPVr30Dg7IYRoOLtW5EwmE8uXL+df//oXeXl5tGvXjjlz5rBw4UKX/VusrMipz51m\nENXUwJ49cOSI7UH33brBhAnucdC9O9VbSzWmGjZf3Mzp66ctsWZ+zZjdfTbtQtrZ/XOk3uqTmqtL\n6q0uVefI6fV6Fi5cyMKFC+t9AWc4duwYb775Jj4+PrRv354vvvgCb2+7/lWE4No15YitmzetMbUO\nuhfqKqkqYU3yGnLu5lhiHZp1YHb32QT7BmuYmRBCOIZdK3JvvPEGc+bM4YknnrDEDh8+zFdffcVf\n/vIXpyZ4P9evXyc8PBw/Pz/efvtt+vXrxzPPPGPzNbIiJ+5lNMLBgz8+6D4uTrmVKgfde5ZrxddY\nnbyau5V3LbHebXozMX4i3nr5i58QwrU49YiuiIgIcnNz8fOzPtFVUVFBZGQkN+sua2hg8eLF9OnT\nh6lTp9rEpZETdd28qazCXbtmjfn4wNix0K+frMJ5muT8ZNZfWG+ZD6dDx5jYMQzqMMhlt4MIIZo2\npw4E1uv1mOouYaDsm9O6Ubp8+TI7d+5k0qRJmuYhFK44g8hsVvbB/eMftk1cx47ws59B//7u28S5\nYr21Zjab2Z21m7Xn11qaOH9vf+b1nMfjkY83qomTeqtPaq4uqbe6HFVvuxq5IUOG8Nvf/tbSzBmN\nRhYvXszQoUPrfcG//vWv9O/fH39/f1588UWbzxUUFDBt2jSCg4OJjo5m1apVls/9+c9/5qmnnuKP\nf/wjYD1t4vPPP8dLxuyL+ygshM8/V85JrVH+TMfLC0aPhgULoHlzTdMTDlZZU8nq5NUcuHLAEosI\njOCVvq8Q2zxWw8yEEMJ57Lq1mpOTw8SJE8nLyyMqKoorV67Qtm1bNm3aRGRkZL0uuG7dOvR6Pdu3\nb6e8vJzPPvvM8rk5c+YA8Omnn3Lq1CkmTJjA4cOH6datm83PqKmpYfLkybz11luMGDHi/v9icmu1\nyao96H7bNqiqssbbtlUOum/VSrvchHMUlBewOnk1+aX5lljn5p15ptsz+HvLIEAhhOtz6h45UFbh\njh07Rk5ODpGRkQwcOBC93q4FvftatGgRV69etTRypaWlNG/enJSUFOLi4gB44YUXaNeuHR9++KHN\n965YsYJf/vKX9OihzH/62c9+xsyZM23/xaSRa5KKi2HTJtszUvV6GDJEDrr3VFmFWXyd8jXlNdYz\n1QZHDmZkzEj0uob/jhJCCDU5dfwIgJeXF48//jiPP/54vS9yP/cme/HiRby9vS1NHECvXr3uew95\n/vz5zJ8//5HXWLBggeU0irCwMHr37m2Z2VL7c+W1416fPn2aN998U7PrX7oE+fnDKS+H7Gzl8/37\nD2faNEhPN3DggGvVq7Gvta631q/NZjNB8UFsy9hG1qksAOL6xjE5YTIFqQXsz9kv9Xbz17UxV8nH\n01/XxlwlH09/ffr0ae7cuUN2djaNYfeKnKPduyJ34MABZs6cSV5enuVrli1bxpdffsnevXvr/fNl\nRU59BoPB8kZVU1kZbN0Kycm28UGDYORI5elUT6RVvV2B0WRka/pWTuRZz1UL8Q1hdvfZtG/W3inX\nbMr11orUXF1Sb3XdW2+nr8g52r3JBgcHc/fuXZtYUVERISEhaqYlGkGLXwDp6bBhA5SUWGNN5aD7\npvoLt7SqlDUpa7hSdMUSax/SnlndZ9HMz3nDAJtqvbUkNVeX1Ftdjqr3Ixs5s9nMpUuX6Nixo0NP\nT7h3DEB8fDw1NTVkZGRYbq+eOXOG7t27N/gaSUlJDB8+XN6cHuhBB9336aMcdF9n5KHwINdLrrPq\n3CqKKosssZ6tezIpfhI+Xh669CqE8GgGg8Hm9nZ96e35ou7duzfqwYa6jEYjFRUV1NTUYDQaqays\nxGg0EhQUxPTp03n33XcpKyvj4MGDbNq0ya69cA9S28gJdTTmjVgfly/Dxx/bNnHBwTBnDkyZ0nSa\nOLXq7SrO3zzPpyc/tTRxOnSMjhnNtC7TVGnimlq9XYHUXF1Sb3XV3TuXlJTU4J/zyO5Mp9PRp08f\n0tLSGnyRut5//30CAwP53e9+x8qVKwkICOC//uu/APjoo48oLy+nVatWzJs3j48//piuXbs65LrC\n/dXUKDPhli9XZsTV6tYNXnsNEhI0S004kdlsZu+lvXyV8hXVpmoA/Lz8mNtjLoM7DpaTGoQQTZpd\nDzv89re/ZeXKlSxYsIDIyEjLhjydTsfChQvVyLPe5GEHz/Kgg+4nTIDu3d33dAbxcFXGKtalriP1\nVqol1jygOXO6z6FlUEsNMxNCCMdy6sMOBw8eJDo6mn379v3oc67ayIHskfMERiMcOAD798tB903N\nnYo7rDq3ihulNyyx2PBYZnSbQYBPgIaZCSGE4zR2j5xm40ecTVbk1OfoR9fvd9C9ry+MGSMH3YNn\njwrIvpPNVylfUVZdZok93uFxRseO1mzIryfX21VJzdUl9VaX6uNHbt++zZYtW7h+/Tr/8R//QW5u\nLmazmQ4dOtT7okI8jMkE338Pe/ZYz0gF5aD7qVPljFRP98O1H9iavhWTWVmC9dJ5MTF+In3a9tE4\nMyGEcD12rcjt27ePZ555hv79+3Po0CGKi4sxGAz88Y9/ZNOmTWrkWW+yIueeCgth/XrlydRaXl7K\nYN9Bg5TjtoRnMpqMbMvYxvFrxy2xYN9gZiXOIjK0fmc6CyGEu3HqWau9e/fmD3/4A6NGjSI8PJzC\nwkIqKiro2LEj+fn5j/p2TUgj517MZjh5UnkqVQ66b3rKqsv4KuUrsu9kW2Jtg9syu/tsQv1DtUtM\nCCFU0tC+xa71jcuXLzNq1CibmI+PD0ajsd4XVFNSUpLMxVFRQ2tdXAxffqkcdl/bxOn1yiH3L78s\nTdyDeMp7+0bJDZaeWGrTxHVv1Z2FfRa6VBPnKfV2J1JzdUm91VVbb4PB0Kg5cnbtkevatSvbtm1j\n3Lhxltju3bvp0aNHgy+shsYURqgjORm2bIHycmssIkJZhWvvnCMzhQu5cOsC36Z+S5XRugw7stNI\nhnQcIvPhhBBNQu10jSVLljTo++26tfr9998zceJExo8fz9dff838+fPZtGkTGzZsYMCAAQ26sLPJ\nrVXXVlamNHApKbZxTz/oXijMZjMHrhxgz6U9lpivly/Tu06nS0QXDTMTQghtOHWPHEBubi4rV67k\n8uXLdOzYkXnz5rn0E6vSyLmuixdh40bbg+7DwpQnUqOjNUtLqKTKWMWGCxtIuWnt4sP9w5nTYw6t\nguQ+uhCiaXJ6IwdgMpm4desWLVu2dPnbHtLIqe9RM4gqK5WHGU6etI337QtjxzadM1IdxR1nPhVV\nFLE6eTV5JXmWWKewTjyb+CyBPoEaZvZo7lhvdyc1V5fUW12OmiNn18MOhYWFzJ8/n4CAANq0aYO/\nvz/z5s2joKCg3hdUkzzs4Dqys+Hvf7dt4oKDYe5c5YQGaeI835WiKyw9sdSmiRvQfgDzes5z+SZO\nCCGcpbEPO9i1Ijd16lS8vb15//336dixI1euXOHdd9+lqqqKDRs2NPjiziQrcq6huloZ7Pv998qI\nkVqJico5qYHy53eTcCrvFJsvbsZoVp501+v0TOg8gX7t+mmcmRBCuAan3loNDQ0lLy+PwDp/6paV\nldG2bVuKiorqfVE1SCOnvfsddB8QYD3oXng+k9nE9oztHM09aokF+gT+//buPCiqM10D+NOszdYK\nyL46IighirhE0BjUqMN1i94kakoN6kQrmkxiKpkkZVS8ajnOGONUTOLEaIwbLjNmJjFaOhHbuCBI\nRGJARPCCgAqyyG7bNOf+4aVjiyYIzXd6eX5VVKXP6e7z8lSHej3nPV9j2hPTENI9RMbKiIhMS5de\nWu3Tpw8KCwsNthUVFaFPH95dRr9ovYyt0wHHjwNffGHYxIWFAQsXsokzFlMfG2jSNmHnTzsNmjgf\nFx/MHzjfLJs4U8/bEjFzsZi3WMbKu13ryI0aNQpjx47F7NmzERQUhGvXrmHnzp2YNWsWtm7dCkmS\noFAoMHfuXKMURearvPzeWbgbv4xBwcHh3s0MMTH8ontrcavhFpJ/TkZV0y9ztJFekXiuz3NwsHWQ\nsTIiIsvSrkurrXdV3H+namvzdr/jx48bt7pOUCgUWL58uX6hPeo6ly8X4ejRAuTn26CgoAWhob3Q\no8e9My4hIfeWFXF3l7lIEiavMg//zPknNDqNflt8aDyeCXnG5O92JyISTa1WQ61WY8WKFV2//Ig5\n4YycGJcvF2HTpnxcvToareOSzc3HMHBgGKZNC+EX3VsRSZJwuvg0jl09Bgn3/t+zt7HHlL5TEOkV\nKXN1RESmrUtn5Ige5cCBAvz0070m7vZtNQCge/fR8PMrQFwcm7iuZErzLFqdFgcuHcD3V7/XN3Hd\nld0xL2aexTRxppS3tWDmYjFvsYTOyBE9iqOjDVxcgNrae49DQ4HgYECpZAdnLWo1tdjz8x5cr7uu\n3xbSLQQvPvEiXBxcZKyMiMjy8dIqdconn6Tg2rVRyMkBwsMBN7d72729U7Bw4Sh5i6MuV1Jbgj0/\n70H93V++b22g30D8V+//gq2NrYyVERGZF15aJVk8+2wv2NgcQ0zML02cRnMMo0f3krcw6nJZN7Ow\n7cI2fRPXusjvhPAJbOKIiARpdyN36dIl/M///A8WLVoEAMjNzcVPP/3UZYWReYiICEFiYhh8fFJQ\nUbEB3t4pSEwMQ0SE+a0TZm7kmmdpkVpwtOAovs79Gs0tzQAAJzsnzOo3C4MDBlvsnamcHxKPmYvF\nvMUyVt7tauT279+PESNGoLS0FNu3bwcA1NXV4a233jJKEWTeIiJCsHDhKDz/fDQWLhzFJs6C3Wm+\ng90Xd+NM8Rn9Nm8Xb8wfOB893XvKWBkRkXVq14xcnz59sGfPHkRHR8Pd3R3V1dXQarXw8/NDRUWF\niDofG9eRIzKuisYKJF9MRmVTpX5bhGcEpvadCkc7RxkrIyIyX0LWkfP09MStW7dgY2Nj0MgFBASg\nvLy8Q4V3Nd7sQGQ8+VX5+EfOP3Cn+Y5+24iQERgZOtJiL6USEYnUpTc7xMTEYMeOHQbb9u7diyFD\nhjz2Aclycb5CLBF5S5KE1OJU7Pppl76Js7exx/ORz2NUz1FW1cTx8y0eMxeLeYsldB25jz/+GGPG\njMGWLVvQ2NiIsWPHIi8vD0ePHjVKEURkeppbmnEw7yAu3Lyg36ZyVGFG1Az4ufnJWBkREbVq9zpy\nDQ0NOHjwIIqKihAcHIzx48fDrXW9CRPES6tEHVenqcPe7L0oqS3RbwtSBWFa1DS4OrjKWBkRkWXq\naN/CBYGJyMD1uuvY8/Me1Gpq9dsG+A7A+PDxsLPhl8EQEXWFLp2RKyoqwty5czFgwAD07t1b/xMe\nHv7YByTLxfkKsboi74tlF7E1c6u+iVNAgYSwBEyKmGT1TRw/3+Ixc7GYt1hCZ+ReeOEF9O3bFytX\nroRSqTTKgYnIdLRILUj53xScunZKv01pp8QLkS+glwe/pYOIyFS169Jqt27dUFVVBVtb8/naHV5a\nJWofTbMG/7z0T+RV5um3eTl7YXrUdHg6e8pYGRGR9ejSS6sTJkzAiRMnHvvN5ZaUlMRTxUS/oqqp\nCl+c/8KgiQv3DMe8mHls4oiIBFCr1UhKSurw69t1Rq6iogKxsbEIDw+Ht7f3Ly9WKLB169YOH7wr\n8YyceGq1mt+iIVBn875afRX7s/ejqblJv2148HCM6jkKNop2fw2z1eDnWzxmLhbzFuvBvDvat7Rr\nRm7u3LlwcHBA3759oVQq9QezpsVAiSyFJElIL03HkYIjaJFaAAB2NnaYFDEJ/Xz6yVwdERE9jnad\nkXNzc0NpaSlUKpWImoyCZ+SI2mpuacahK4dw/sZ5/TY3BzdMj5qOAFWAjJUREVm3Lj0j169fP1RW\nVppVI0dEhhruNmBv9l5cq7mm3xaoCsS0J6bBzdF0F/cmIqJHa9cgzKhRozBu3DisWbMGW7duxdat\nW7FlyxaTnY8jefDGErEeJ+8bdTfw+Y+fGzRx/X36IzE6kU1cO/HzLR4zF4t5iyV0HbmTJ0/C39//\nod+tOnfuXKMUQkRdI7s8G//K/Re0LVoA9xb5HdNrDGIDYznnSkRk5vgVXUQWSpIkqAvVOFH0y9JB\nSjsl/rvvf6O3Z28ZKyMiogcZfUbu/rtSW1paHvkGNjZcpoDI1NzV3cWBSweQW5Gr3+bp5IkZT85A\nD+ceMlZGRETG9Mgu7P4bG+zs7B76Y29vL6RIMg+crxDrUXlXN1Vjy/ktBk1cmEcY/hDzBzZxncDP\nt3jMXCzmLVaXz8hlZ2fr//vq1atGORgRda3C24XYl70PjdpG/bbYwFiM6TWGi/wSEVmgds3IrVu3\nDm+//Xab7evXr8dbb73VJYV1FmfkyNqcKz2Hw/mH9Yv82ipsMTFiIqJ9o2WujIiIfktH+5Z2Lwhc\nV1fXZru7uzuqq6sf+6AisJEja6Fr0eFw/mFkXM/Qb3N1cMX0qOkIVAXKWBkREbVXlywInJKSAkmS\noNPpkJKSYrCvoKDA5BcITkpKQnx8PL87ThB+T59YarUag+MGY3/OfhTeLtRv93fzx/So6VA5mvb/\nn+aGn2/xmLlYzFus1rzVanWn5uV+tZGbO3cuFAoFNBoN5s2bp9+uUCjg4+ODjz/+uMMHFiEpKUnu\nEoiM7nL+ZXz/4/fIyMzAxrMb4Rvsix7+925ieNL7SUyKmAR7W96IRERkDlpPOK1YsaJDr2/XpdVZ\ns2Zhx44dHTqAXHhplSzR5fzL2HZ8G2r9a5FbkQudpENzfjMGRA7AtOHTMCxoGBf5JSIyQ136Xavm\n1sQRWSJJkrDzxE7kuOag5laNfrtjb0d43PHA8ODhMlZHRERy4HoEZDRcg6hraHVaZFzPwMb0jTh3\n4xxqNPeauNu5t+Fk54QYvxi4O7vLXKXl4+dbPGYuFvMWS+h3rRKReA13G5Bemo5z18/p14Wz+f9/\neymggIeTB2L8YmBvaw8HGwc5SyUiIpnwu1aJTMythltILUnFT2U/obml2WBfXVkdrhddR2hMKBzt\nHAEAmisaJI5MRERYhBzlEhGREXTpOnLmiI0cmRNJklB4uxCpJanIq8xrs7+7sjuGBg7FAN8BKCws\nxLHzx3C35S4cbBwwOmY0mzgiIjPHRu4BbOTE4xpEj0/XokPOrRycKT6DG/U32uwPcAtAXFAc+nr1\nbfMVW8xbLOYtHjMXi3mL9WDeXXrXKhEZ153mOzh/4zzSStL0Ny+0UkCBiB4RiA2MRXC3YC4nQkRE\nj8QzckQC1dypwdmSszh/4zw0Oo3BPjsbO0T7RiM2MBaezp4yVUhERHLgGTkiE3a97jpSi1ORfStb\n/6X2rVzsXTAkYAgG+Q+Ci4OLTBUSEZE54jpyZDRcg8iQJEnIq8zDtgvb8PmPn+Ni+UWDJq6Hcw9M\nipiExbGL8UzoM4/dxDFvsZi3eMxcLOYtFteRIzJRzS3NyLqZhdSSVFQ0VrTZ37N7T8QGxaK3R2/O\nvxERUadwRo7ISBq1jThXeg7ppelo0DYY7LNR2OAJrycQFxQHPzc/mSokIiJTxRk5IplUNlYitSQV\nF25eaLOAr6OtIwb6D8RTAU+hm7KbTBUSEZGlMrsZubKyMgwbNgwjR47EuHHjUFlZKXdJ9P+sab5C\nkiQU3S5C8sVkbEzfiIzrGQZNXDfHbhjbaywWxy7G2F5ju6SJs6a8TQHzFo+Zi8W8xbLaGTkvLy+c\nPn0aAPDVV19h8+bNeO+992SuiqxFi9SCnFs5SC1ORWldaZv9fq5+iAuKQ6RXJGxtbGWokIiIrIlZ\nz8h9/PHHcHBwwIIFC9rs44wcGZOmWYPMm5k4W3IWt+/cbrM/3DMccUFxCOkWwhsYiIjosVnVjFxW\nVhbmz5+P27dv49y5c3KXQxasVlOLtJI0/HjjR9xpvmOwz87GDv19+mNo4FB4uXjJVCEREVkzoTNy\nGzduxKBBg6BUKjFnzhyDfVVVVZgyZQpcXV0RGhqK5ORk/b6PPvoII0eOxIcffggA6N+/P9LS0rBq\n1SqsXLlS5K9Av8KS5itu1t/EgUsHsOHsBpwuPm3QxDnbO+OZkGeweOhiTIyYKFsTZ0l5mwPmLR4z\nF4t5i2WWM3IBAQFYunQpjhw5gqamJoN9ixYtglKpRHl5OTIzMzF+/Hj0798fkZGRWLx4MRYvXgwA\n0Gq1sLe3BwCoVCpoNJo2xyHqCEmSUFBdgDPFZ3C1+mqb/Z5OnogNikV/n/6wt7WXoUIiIiJDQhu5\nKVOmAAAyMjJQUlKi397Q0IADBw4gOzsbzs7OGDZsGCZPnowdO3ZgzZo1Bu9x4cIFvP3227C1tYW9\nvT22bNnyyOMlJiYiNDQUANC9e3dER0cjPj4ewC+dMB8b93ErU6mnPY+bW5rx5ddfIvtWNrr36Q4A\nKLxQCAAIjQ5FSLcQ2F6zRZAUhEH+g2Sv9/7HrUylHkt/3MpU6uFjPuZj830MAElJSSgsLERnyHKz\nwwcffIDS0lJ8+eWXAIDMzEwMHz4cDQ2/LKK6fv16qNVqfPPNNx06Bm92oN/SqG1ExvUMpJemo/5u\nvcE+BRR4wvsJxAbGIkAVIFOFRERkLTrat9h0QS2/6cG7+urr66FSqQy2ubm5oa6uTmRZ1En3/yvD\nlFU1VeHQlUP4KPUjpPxvikET52DrgKGBQ/HG0DfwfOTzJt3EmUveloJ5i8fMxWLeYhkrb1nuWn2w\n43R1dUVtba3BtpqaGri5uYksiyxccU0xzhSfQW5FLiQYfgZVjio8FfAUBvoPhNJOKVOFREREj0eW\nRu7BM3Lh4eFobm5Gfn4+wsLCANxbYiQqKqpTx0lKSkJ8fLz+ujR1LVPMuUVqQW5FLs4Un0FJbUmb\n/b6uvogNjEWUd5TZLeBrinlbMuYtHjMXi3mLdf/MXGfOzgmdkdPpdNBqtVixYgVKS0uxefNm2NnZ\nwdbWFjNmzIBCocAXX3yB8+fPY8KECUhNTUXfvn07dCzOyFm3u7q7yLxxbwHf6jvVbfaHeYQhLigO\nPbv35AK+REQkO7OYkVu5ciWcnZ2xdu1a7Ny5E05OTli9ejUA4NNPP0VTUxO8vb0xc+ZMbNq0qcNN\nHMnDFOYr6jR1OHb1GD5K/QiH8w8bNHG2ClsM8B2AhYMXYma/mfid++/MuokzhbytCfMWj5mLxbzF\nMssZuaSkJCQlJT10n7u7O77++muR5ZAFKasvQ2pJKi6WXYRO0hnsc7JzwuCAwRgSMASuDq4yVUhE\nRGR8Zv1dq79GoVBg+fLlnJGzYJIk4Wr1VZwpPoOC6oI2+z2cPDA0cCiifaPhYOsgQ4VERES/rnVG\nbsWKFR26tGrRjZyF/mpWT9eiw8Xyi0gtTkVZQ1mb/UGqIMQFxSGiRwRsFLKssENERPRYzGJGjixb\nV89XNGmbcOraKWw4uwH/yv2XQROngAKRXpGYN2Ae5sXMQ1+vvhbfxHGeRSzmLR4zF4t5i2WWM3JE\nHVHdVI2zJWeReTMTd3V3DfbZ29gjxi8GQwOHwt3JXaYKiYiI5GHRl1Y5I2feShG09YQAABLRSURB\nVGpLkFqcipxbOW0W8HVzcMOQgCEY5D8ITvZOMlVIRETUOZyRewTOyJmnFqkFeZV5OFN8BtdqrrXZ\n7+3ijbigOER5R8HOhieUiYjIMnBGjmTXmev9Wp0W50rPYWP6Ruz5eU+bJq6Xey/M7DcTrw56FdG+\n0WziwHkW0Zi3eMxcLOYtFmfkyCLU361Hemk6Mq5noFHbaLDPVmGLKO8oxAbFwtfVV6YKiYiITBcv\nrZIsbjXcQmpJKrJuZrVZwFdpp8Qg/0EYEjAEKkeVTBUSERGJ09G+xaLPyCUlJfFmBxMiSRIKbxfi\nTPEZXKm60ma/u9IdQwOHYoDfAC7gS0REVqH1ZoeO4hk5Mhq1Wv3QplnXokP2rWycKT6Dm/U32+wP\nVAUiNjDWKtZ+M6ZH5U1dg3mLx8zFYt5iPZg3z8iRybnTfAc/Xv8RaaVpqNXUGuxTQIGIHhGIC4pD\nkCrIrL+8noiISC48I0dGd/vObaSVpOH8jfPQ6DQG++xt7BHtG42hgUPh6ewpU4VERESmhWfkSDaX\n8y/j+x+/R0VTBYpvF8PJxwmefoZNmou9C54KfAqD/AfB2d5ZpkqJiIgsCweSqFNyr+Ri/Xfr8R/p\nP/g692vkd89HZnYmKq5XAAC8nL0wKWISFscuxoiQEWzijIhrPonFvMVj5mIxb7G4jlw78K7VrvdN\n2je43O0ycOeXbXZhdqi9UYs3xr2BMI8wzr8RERE9Au9afQTOyImxYc8GnLI5hYrGCiiggLeLNwJV\ngQiqDsKb09+UuzwiIiKzwBk5koW9wh5BqiA42TkhQBUApZ0SAOBgw3XgiIiIuhpn5KhTnh34LJTF\nSvTy6IWbP99bI05zRYPRMaNlrszycZ5FLOYtHjMXi3mLZay82chRp0SERSBxZCK8y73hWuUK73Jv\nJI5MRERYhNylERERWTzOyBERERHJrKN9C8/IEREREZkpi27kkpKSeM1fIGYtFvMWi3mLx8zFYt5i\nteatVquRlJTU4fex6LtWOxMMERERUVdrXe92xYoVHXo9Z+SIiIiIZMYZOSIiIiIrw0aOjIbzFWIx\nb7GYt3jMXCzmLRbXkSMiIiKycpyRIyIiIpIZZ+SIiIiIrAwbOTIazleIxbzFYt7iMXOxmLdYnJFr\nBy4ITERERKasswsCc0aOiIiISGackSMiIiKyMmzkyGh4GVss5i0W8xaPmYvFvMXijBwRERGRleOM\nHBEREZHMOCNHREREZGXYyJHRcL5CLOYtFvMWj5mLxbzF4owcERERkZXjjBwRERGRzDgjR0RERGRl\n2MiR0XC+QizmLRbzFo+Zi8W8xeKMHBEREZGVs+gZueXLlyM+Ph7x8fFyl0NERETUhlqthlqtxooV\nKzo0I2fRjZyF/mpERERkYXizA8mO8xViMW+xmLd4zFws5i0WZ+SIiIiIrBwvrRIRERHJjJdWiYiI\niKwMGzkyGs5XiMW8xWLe4jFzsZi3WJyRIyIiIrJynJEjIiIikhln5IiIiIisDBs5MhrOV4jFvMVi\n3uIxc7GYt1ickSMiIiKycpyRIyIiIpIZZ+SIiIiIrAwbOTIazleIxbzFYt7iMXOxmLdYnJEjIiIi\nsnJmOyOXnJyMN954A+Xl5Q/dzxk5IiIiMhdWNSOn0+mwf/9+BAcHy10KERERkWzMspFLTk7Giy++\nCIVCIXcpdB/OV4jFvMVi3uIxc7GYt1hWOyPXejZu2rRpcpdCD7hw4YLcJVgV5i0W8xaPmYvFvMUy\nVt5CG7mNGzdi0KBBUCqVmDNnjsG+qqoqTJkyBa6urggNDUVycrJ+3/r16zFy5EisW7cOu3bt4tk4\nE3X79m25S7AqzFss5i0eMxeLeYtlrLyFNnIBAQFYunQp5s6d22bfokWLoFQqUV5ejl27duHVV19F\nTk4OAOCtt97C8ePH8fbbbyMnJwfbt29HQkICrly5gjfffFPkr/BInT1F+rivb8/zf+05j9rX3u1y\nn4I3xvEf5z06m/ev7X/Y9vZuE8mSP+PMW/6/Ke2toSuJzJx/U6zvM95VeQtt5KZMmYLJkyfD09PT\nYHtDQwMOHDiAlStXwtnZGcOGDcPkyZOxY8eONu/x5z//GUeOHMHhw4cRHh6ODRs2iCr/V/EDCRQW\nFv5mTcbCRk5s3g87fle/3tQaOeYtvpGz5Mz5N8X6PuNdlbcsy4988MEHKC0txZdffgkAyMzMxPDh\nw9HQ0KB/zvr166FWq/HNN9906BhhYWEoKCgwSr1EREREXal///4dmpuz64JaftOD82319fVQqVQG\n29zc3FBXV9fhY+Tn53f4tURERETmQJa7Vh88Cejq6ora2lqDbTU1NXBzcxNZFhEREZFZkaWRe/CM\nXHh4OJqbmw3OomVlZSEqKkp0aURERERmQ2gjp9PpcOfOHTQ3N0On00Gj0UCn08HFxQVTp07FsmXL\n0NjYiFOnTuHbb7/FrFmzRJZHREREZFaENnKtd6WuXbsWO3fuhJOTE1avXg0A+PTTT9HU1ARvb2/M\nnDkTmzZtQt++fUWWR0RERGRWZLlrVU7vvvsuUlNTERoaiq1bt8LOTpb7PaxGbW0tnn32WVy6dAlp\naWmIjIyUuySLlp6ejjfffBP29vYICAjA9u3b+RnvQmVlZZg6dSocHBzg4OCA3bt3t1leibpGcnIy\n3njjDZSXl8tdikUrLCzE4MGDERUVBYVCgX379qFHjx5yl2XR1Go1Vq1ahZaWFvzxj3/Ec88996vP\nN7uv6OqMrKwsXL9+HT/88AP69OmDf/zjH3KXZPGcnZ1x6NAhPP/8821uciHjCw4OxvHjx3HixAmE\nhobi3//+t9wlWTQvLy+cPn0ax48fx0svvYTNmzfLXZJVaP2qxuDgYLlLsQrx8fE4fvw4UlJS2MR1\nsaamJqxfvx6HDx9GSkrKbzZxgJU1cqmpqRg3bhwA4Pe//z1Onz4tc0WWz87Ojv/jC+Tr6wtHR0cA\ngL29PWxtbWWuyLLZ2PzyJ7S2thbu7u4yVmM9kpOT+VWNAp0+fRojRozAkiVL5C7F4qWmpsLJyQkT\nJ07E1KlTUVZW9puvsapGrrq6Wr+kiUqlQlVVlcwVEXWNoqIi/Oc//8HEiRPlLsXiZWVl4amnnsLG\njRsxY8YMucuxeK1n46ZNmyZ3KVbB398fBQUF+OGHH1BeXo4DBw7IXZJFKysrQ35+Pg4ePIhXXnkF\nSUlJv/kas2zkNm7ciEGDBkGpVGLOnDkG+6qqqjBlyhS4uroiNDQUycnJ+n3du3fXr1dXU1MDDw8P\noXWbs45mfj/+67n9OpN3bW0tZs+eja+++opn5NqpM3n3798faWlpWLVqFVauXCmybLPW0cx37tzJ\ns3Ed0NG8HRwc4OTkBACYOnUqsrKyhNZtrjqat7u7O4YNGwY7OzuMGjUK2dnZv3kss2zkAgICsHTp\nUsydO7fNvkWLFkGpVKK8vBy7du3Cq6++ipycHABAXFwcvv/+ewDAkSNHMHz4cKF1m7OOZn4/zsi1\nX0fzbm5uxvTp07F8+XL07t1bdNlmq6N5a7Va/fNUKhU0Go2wms1dRzO/dOkStm/fjoSEBFy5cgVv\nvvmm6NLNUkfzrq+v1z/vhx9+4N+Vdupo3oMHD8alS5cAABcuXECvXr1++2CSGfvggw+kxMRE/eP6\n+nrJwcFBunLlin7b7Nmzpffee0//+J133pGefvppaebMmZJWqxVaryXoSOYJCQmSv7+/FBsbK23b\ntk1ovebucfPevn275OnpKcXHx0vx8fHS3r17hddszh4377S0NGnEiBHSyJEjpbFjx0rFxcXCazZ3\nHfmb0mrw4MFCarQkj5v3oUOHpIEDB0pPP/209PLLL0s6nU54zeasI5/vTz75RBoxYoQUHx8vXb16\n9TePYdbrEkgPnOHJy8uDnZ0dwsLC9Nv69+8PtVqtf/yXv/xFVHkWqSOZHzp0SFR5Fudx8541axYX\n0u6Ex817yJAhOHHihMgSLU5H/qa0Sk9P7+ryLM7j5p2QkICEhASRJVqUjny+Fy5ciIULF7b7GGZ5\nabXVgzMS9fX1UKlUBtvc3NxQV1cnsiyLxszFYt5iMW/xmLlYzFssEXmbdSP3YKfr6uqqv5mhVU1N\njf5OVeo8Zi4W8xaLeYvHzMVi3mKJyNusG7kHO93w8HA0NzcjPz9fvy0rKwtRUVGiS7NYzFws5i0W\n8xaPmYvFvMUSkbdZNnI6nQ537txBc3MzdDodNBoNdDodXFxcMHXqVCxbtgyNjY04deoUvv32W84M\nGQEzF4t5i8W8xWPmYjFvsYTm3dk7MuSwfPlySaFQGPysWLFCkiRJqqqqkp577jnJxcVFCgkJkZKT\nk2Wu1jIwc7GYt1jMWzxmLhbzFktk3gpJ4uJeRERERObILC+tEhEREREbOSIiIiKzxUaOiIiIyEyx\nkSMiIiIyU2zkiIiIiMwUGzkiIiIiM8VGjoiIiMhMsZEjIiIiMlNs5IiIHpCYmIilS5ca9T1fffVV\nrFq1yqjvSURkJ3cBRESmRqFQtPmy68767LPPjPp+REQAz8gRET0Uv72QiMwBGzkiMilr165FYGAg\nVCoV+vTpg5SUFABAeno6YmNj4e7uDn9/f7z++uvQarX619nY2OCzzz5D7969oVKpsGzZMhQUFCA2\nNhbdu3fH9OnT9c9Xq9UIDAzEmjVr4OXlhZ49e2L37t2PrOngwYOIjo6Gu7s7hg0bhosXLz7yuYsX\nL4aPjw+6deuGfv36IScnB4Dh5dqJEyfCzc1N/2Nra4vt27cDAHJzczFmzBh4enqiT58+2L9//yOP\nFR8fj2XLlmH48OFQqVQYN24cKisr25k0EVkCNnJEZDIuX76MTz75BBkZGaitrcXRo0cRGhoKALCz\ns8Pf/vY3VFZWIjU1FceOHcOnn35q8PqjR48iMzMTZ8+exdq1a/HKK68gOTkZ165dw8WLF5GcnKx/\nbllZGSorK3H9+nV89dVXmD9/Pq5cudKmpszMTMybNw+bN29GVVUVFixYgEmTJuHu3bttnnvkyBGc\nPHkSV65cQU1NDfbv3w8PDw8Ahpdrv/32W9TV1aGurg779u2Dn58fRo8ejYaGBowZMwYzZ87ErVu3\nsGfPHixcuBCXLl16ZGbJycnYtm0bysvLcffuXaxbt+6xcyci88VGjohMhq2tLTQaDbKzs6HVahEc\nHIzf/e53AICYmBgMGTIENjY2CAkJwfz583HixAmD1//pT3+Cq6srIiMj8eSTTyIhIQGhoaFQqVRI\nSEhAZmamwfNXrlwJe3t7jBgxAuPHj8fevXv1+1qbrs8//xwLFizA4MGDoVAoMHv2bDg6OuLs2bNt\n6ndwcEBdXR0uXbqElpYWREREwNfXV7//wcu1eXl5SExMxL59+xAQEICDBw+iZ8+eePnll2FjY4Po\n6GhMnTr1kWflFAoF5syZg7CwMCiVSrz44ou4cOHCYyROROaOjRwRmYywsDBs2LABSUlJ8PHxwYwZ\nM3Djxg0A95qeCRMmwM/PD926dcOSJUvaXEb08fHR/7eTk5PBY6VSifr6ev1jd3d3ODk56R+HhITo\nj3W/oqIifPjhh3B3d9f/lJSUPPS5I0eOxGuvvYZFixbBx8cHCxYsQF1d3UN/15qaGkyePBmrV69G\nXFyc/lhpaWkGx9q9ezfKysoemdn9jaKTk5PB70hElo+NHBGZlBkzZuDkyZMoKiqCQqHAu+++C+De\n8h2RkZHIz89HTU0NVq9ejZaWlna/74N3oVZXV6OxsVH/uKioCP7+/m1eFxwcjCVLlqC6ulr/U19f\nj2nTpj30OK+//joyMjKQk5ODvLw8/PWvf23znJaWFrz00ksYPXo0/vCHPxgc65lnnjE4Vl1dHT75\n5JN2/55EZF3YyBGRycjLy0NKSgo0Gg0cHR2hVCpha2sLAKivr4ebmxucnZ2Rm5vbruU87r+U+bC7\nUJcvXw6tVouTJ0/iu+++wwsvvKB/buvzX3nlFWzatAnp6emQJAkNDQ347rvvHnrmKyMjA2lpadBq\ntXB2djao//7jL1myBI2NjdiwYYPB6ydMmIC8vDzs3LkTWq0WWq0W586dQ25ubrt+RyKyPmzkiMhk\naDQavP/++/Dy8oKfnx8qKiqwZs0aAMC6deuwe/duqFQqzJ8/H9OnTzc4y/awdd8e3H//Y19fX/0d\nsLNmzcLf//53hIeHt3nuwIEDsXnzZrz22mvw8PBA79699XeYPqi2thbz58+Hh4cHQkND0aNHD7zz\nzjtt3nPPnj36S6itd64mJyfD1dUVR48exZ49exAQEAA/Pz+8//77D72xoj2/IxFZPoXEf84RkZVR\nq9WYNWsWiouL5S6FiKhTeEaOiIiIyEyxkSMiq8RLkERkCXhplYiIiMhM8YwcERERkZliI0dERERk\nptjIEREREZkpNnJEREREZoqNHBEREZGZ+j/e56+2XEwuWAAAAABJRU5ErkJggg==\n",
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 5
},
{
"cell_type": "markdown",
@@ -286,14 +427,7 @@
"test_chars = ['a', 'b', 'c', 'd', 'e', 'f']\n",
"\n",
"%timeit string_add(test_chars)\n",
- "%timeit string_join(test_chars)\n",
- "\n",
- "#\n",
- "# Python 3.4.0\n",
- "# MacOS X 10.9.2\n",
- "# 2.5 GHz Intel Core i5\n",
- "# 4 GB 1600 Mhz DDR3\n",
- "#"
+ "%timeit string_join(test_chars)"
],
"language": "python",
"metadata": {},
@@ -302,8 +436,8 @@
"output_type": "stream",
"stream": "stdout",
"text": [
- "1000000 loops, best of 3: 595 ns per loop\n",
- "1000000 loops, best of 3: 269 ns per loop"
+ "1000000 loops, best of 3: 1.15 \u00b5s per loop\n",
+ "1000000 loops, best of 3: 436 ns per loop"
]
},
{
@@ -314,7 +448,79 @@
]
}
],
- "prompt_number": 16
+ "prompt_number": 70
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "funcs = ['string_add', 'string_join']\n",
+ "\n",
+ "orders_n = [10**n for n in range(1, 9)]\n",
+ "times_n = {f:[] for f in funcs}\n",
+ "\n",
+ "for n in orders_n:\n",
+ " for f in funcs:\n",
+ " times_n[f].append(min(timeit.Timer('%s(test_chars)' %f, \n",
+ " 'from __main__ import %s, test_chars' %f)\n",
+ " .repeat(repeat=10, number=1000)))"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [],
+ "prompt_number": 71
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "%pylab inline"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": []
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import matplotlib.pyplot as plt\n",
+ "\n",
+ "labels = [('string_add', 'new_str += char'), \n",
+ " ('string_join', '\"\".join(chars)')] \n",
+ "\n",
+ "matplotlib.rcParams.update({'font.size': 12})\n",
+ "\n",
+ "fig = plt.figure(figsize=(10,8))\n",
+ "for lb in labels:\n",
+ " plt.plot(orders_n, times_n[lb[0]], alpha=0.5, label=lb[1], marker='o', lw=3)\n",
+ "plt.xlabel('sample size n')\n",
+ "plt.ylabel('time per computation in milliseconds [ms]')\n",
+ "plt.xlim([1,max(orders_n) + max(orders_n) * 10])\n",
+ "plt.legend(loc=2)\n",
+ "plt.grid()\n",
+ "plt.xscale('log')\n",
+ "plt.yscale('log')\n",
+ "plt.title('Performance of different string reversing methods')\n",
+ "ftext = 'new_str += char is {:.2f}x faster than \"\".join(chars)'\\\n",
+ " .format(times_n['string_add'][-1]\\\n",
+ " /times_n['string_join'][-1])\n",
+ "plt.figtext(.14,.75, ftext, fontsize=11, ha='left')\n",
+ "plt.show()"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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6+hL7vnv3Dtu2bYOxsXGFj0FZ07abNm3ik9LSGBoalrpu8eLFsLS0RFhYGL+s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\nVAAAAABJRU5ErkJggg==\n",
+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 73
},
{
"cell_type": "markdown",
@@ -1092,6 +1298,13 @@
"# Comprehesions vs. for-loops"
]
},
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "[[back to top](#sections)]"
+ ]
+ },
{
"cell_type": "markdown",
"metadata": {},
@@ -1126,6 +1339,13 @@
"## Set comprehensions"
]
},
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "[[back to top](#sections)]"
+ ]
+ },
{
"cell_type": "code",
"collapsed": false,
@@ -1189,6 +1409,13 @@
"## List comprehensions"
]
},
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "[[back to top](#sections)]"
+ ]
+ },
{
"cell_type": "code",
"collapsed": false,
@@ -1252,6 +1479,13 @@
"## Dictionary comprehensions"
]
},
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "[[back to top](#sections)]"
+ ]
+ },
{
"cell_type": "code",
"collapsed": false,
@@ -1324,6 +1558,13 @@
"# Copying files by searching directory trees"
]
},
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "[[back to top](#sections)]"
+ ]
+ },
{
"cell_type": "markdown",
"metadata": {},
@@ -1500,6 +1741,13 @@
"# Returning column vectors slicing through a numpy array"
]
},
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "[[back to top](#sections)]"
+ ]
+ },
{
"cell_type": "markdown",
"metadata": {},
@@ -1774,6 +2022,13 @@
"# Speed of numpy functions vs Python built-ins and std. lib."
]
},
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "[[back to top](#sections)]"
+ ]
+ },
{
"cell_type": "code",
"collapsed": false,
@@ -1868,6 +2123,169 @@
],
"prompt_number": 14
},
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "\n",
+ "
\n",
+ "
\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Cython vs regular (C)Python"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "[[back to top](#sections)]"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "def py_lstsqr(x, y):\n",
+ " \"\"\" Computes the least-squares solution to a linear matrix equation. \"\"\"\n",
+ "\n",
+ " x_avg = sum(x)/len(x)\n",
+ " y_avg = sum(y)/len(y)\n",
+ " var_x = 0\n",
+ " cov_xy = 0\n",
+ " for x_i, y_i in zip(x,y):\n",
+ " temp = (x_i - x_avg)\n",
+ " var_x += temp**2\n",
+ " cov_xy += temp*(y_i - y_avg)\n",
+ " slope = cov_xy / var_x\n",
+ " y_interc = y_avg - slope*x_avg\n",
+ " return (slope, y_interc)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [],
+ "prompt_number": 62
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "%load_ext cythonmagic"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [],
+ "prompt_number": 58
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "%%cython\n",
+ "\n",
+ "def cy_lstsqr(x, y):\n",
+ " \"\"\" Computes the least-squares solution to a linear matrix equation. \"\"\"\n",
+ " cdef double x_avg, y_avg, temp, var_x, cov_xy, slope, y_interc, x_i, y_i\n",
+ " x_avg = sum(x)/len(x)\n",
+ " y_avg = sum(y)/len(y)\n",
+ " var_x = 0\n",
+ " cov_xy = 0\n",
+ " for x_i, y_i in zip(x,y):\n",
+ " temp = (x_i - x_avg)\n",
+ " var_x += temp**2\n",
+ " cov_xy += temp*(y_i - y_avg)\n",
+ " slope = cov_xy / var_x\n",
+ " y_interc = y_avg - slope*x_avg\n",
+ " return (slope, y_interc)"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [],
+ "prompt_number": 63
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import timeit\n",
+ "import random\n",
+ "random.seed(12345)\n",
+ "\n",
+ "funcs = ['py_lstsqr', 'cy_lstsqr']\n",
+ "\n",
+ "orders_n = [10**n for n in range(1, 6)]\n",
+ "times_n = {f:[] for f in funcs}\n",
+ "\n",
+ "for n in orders_n:\n",
+ " x = [x_i*random.randrange(8,12)/10 for x_i in range(n)]\n",
+ " y = [y_i*random.randrange(10,14)/10 for y_i in range(n)]\n",
+ " for f in funcs:\n",
+ " times_n[f].append(min(timeit.Timer('%s(x,y)' %f, \n",
+ " 'from __main__ import %s, x, y' %f)\n",
+ " .repeat(repeat=3, number=1000)))"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [],
+ "prompt_number": 64
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "%pylab inline"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": []
+ },
+ {
+ "cell_type": "code",
+ "collapsed": false,
+ "input": [
+ "import matplotlib.pyplot as plt\n",
+ "\n",
+ "labels = [('py_lstsqr', 'regular Python (CPython)'), \n",
+ " ('cy_lstsqr', 'Cython implementation')]\n",
+ "\n",
+ "\n",
+ "matplotlib.rcParams.update({'font.size': 12})\n",
+ "\n",
+ "fig = plt.figure(figsize=(10,8))\n",
+ "for lb in labels:\n",
+ " plt.plot(orders_n, times_n[lb[0]], alpha=0.5, label=lb[1], marker='o', lw=3)\n",
+ "plt.xlabel('sample size n')\n",
+ "plt.ylabel('time per computation in milliseconds [ms]')\n",
+ "plt.xlim([1,max(orders_n) + max(orders_n) * 10])\n",
+ "plt.legend(loc=2)\n",
+ "plt.grid()\n",
+ "plt.xscale('log')\n",
+ "plt.yscale('log')\n",
+ "ftext = 'Cython % is {:.2f}x faster than (C)Python'\\\n",
+ " .format(times_n['py_lstsqr'][-1]\\\n",
+ " /times_n['cy_lstsqr'][-1])\n",
+ "plt.figtext(.14,.75, ftext, fontsize=11, ha='left')\n",
+ "plt.title('Performance of least square fit implementations in Cython and (C)Python')\n",
+ "plt.show()"
+ ],
+ "language": "python",
+ "metadata": {},
+ "outputs": [
+ {
+ "metadata": {},
+ "output_type": "display_data",
+ "png": 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JGhoavI7ytMXKhM2RK4W4uDhoa2tDU1MTLi4usLOzw5YtW/Ds2TP8+++/mDhxIrS1tfm/\nLl26gOM43Lt3j5fRtGnTMq9z7949ZGdnw8vLS5Du5eWFhIQEQVrz5s2Llec4Di4uLvyxsbExAMDV\n1VWQ9vz5c36OwPv37zFt2jQ0atQIhoaG0NbWxp9//imYHMpxHNzc3ATXMjExQXp6OgDg6dOnSE1N\nRYcOHaTWKyEhAZmZmejVq5fATl9//TXevHmD58+fl1iuZcuWUFZW5tNcXV2hq6uLmzdvSi0jC7Le\nt6SkJAwePBj29vbQ1dWFrq4uXr9+zdumQ4cOsLGxgbW1NQICAhAREVFiXUqjf//+yMnJgaWlJYYN\nG4bNmzfj3bt3/Plbt26hdevWgjJt2rSRq+4RERFo0aIF6tWrB21tbUyfPr3YRGBjY2OYm5vzxxcv\nXkR2djbMzMwE9tqyZYugjSuaou2S4zjUrVtX0N45joNYLMazZ88EZYsuLGrdunWxPlbApUuX+BV5\nhes/f/78YvUvrI+RkRGUlJQE+ujp6UFVVRVPnz4FILFtWloa9PT0BLJPnz5dTHbjxo35/8ViMZSU\nlPg+WBKy9G9ZSEhIgKGhIRwdHfk0VVVVtGjRopjdStOzrLYuC2WNR9KgcsyJGjVqFDZu3AgiQm5u\nLiIjIxEcHCyTXoXrXlSv8ozvReWYmprybaYkZOnbpqamMDQ0FOhHRLxsecea169fF5vHWB6bA4CO\njg4A4NWrV4J0BwcHaGtrQ09PD0ePHsWmTZvQsGFDAJJ7debMGSQmJgKQ2KB79+4wMjIq83qOjo6C\neelF29DNmzel3qsPHz7g/v37fFp522Jlolx2ls+Xli1bYtOmTVBWVoapqSnvWBTcrFWrVsHX17dY\nOTMzMwCSDq6lpVWhOkmTJxKJBJPIC/5XUlIqlkZE4DgO33//Pfbv34/ly5fDwcEBmpqamDRpEl6/\nfi2QraqqKjjmOE7mSfAF+Xbt2oUGDRoUO6+vry+1HMdxlTIptUCfsu5bt27dIBaLsWbNGlhYWEBF\nRQWenp784hItLS1cunQJZ86cwbFjx/DLL79gypQpOH78OJo0aSKzPqamprh9+zZiY2Nx4sQJzJ07\nF1OnTsX58+cFDlVpSFsdm5OTIzjeuXMnxo0bh4ULF8Lb2xs6OjrYsWMH/ve//wnyFW1b+fn50NXV\nxaVLl4pdo2i7UDRFFwhxHCc1Td4FG8DH9nL27FloamoWk12aPiXpWCAzPz8fTk5OiI6OLlau6LWk\n2bqsesnav+WlYByRVc+KaOvSrlHWPS5wQBMSEsp0TAIDAzF16lQcOHAAeXl5ePPmDQIDAytFr4qS\nI2vfliYXELYjecZcPT09vH37VpBWHpsD4Nuknp6eIP3IkSMwMTGBgYEBdHV1BecaNmwIT09PrF27\nFlOnTsUff/yBgwcPyqSztH5Z3rpzHFdh97wiYBG5UlBXV4eNjQ3q168viA4ZGxvDwsICt2/fho2N\nTbG/8q74srOzg5qaGk6ePClIP3nypCDSVpH89ddfCAwMRJ8+feDi4gJra2skJiaWa2m2WCyGubk5\nYmJipJ53dnaGuro67t+/L9VOJW3R4ezsjHPnzgkckmvXruH169do1KhR+SpaCFnu2/Pnz3Hr1i1M\nmzYN7du3h6OjI9TU1Ir9KhaJRGjbti1mz56Ny5cvw8TEBNu2bQPwcdCUZXBQVVVFx44dsXDhQly/\nfh3v37/Hvn37AEgGqzNnzgjyFz0Wi8XIy8sT6BcfHy/Ic+rUKbi7u2PChAlwd3eHra0tkpKSytTN\nw8MDr169QmZmZjFblefhK40CG+Xl5X2SnPJy9uxZwfHff/8NZ2dnqXkLoukpKSnF6i9tG4ry4OHh\ngQcPHkBbW7uY7Hr16skspyQ7ytK/VVVVkZubW6p8Z2dnvk8UkJWVhfPnz5e7L5bW1iuLDh06QCwW\nl7jP28uXL/n/dXR0MGDAAERERGDdunXo168fHy0q0F+e9lqZ47u8fbsoDRs2LLZfXNGxRhr29vbF\nVpKWx+aApH9ZWVkJnrGAZH8+a2vrYk5cAaNGjcJvv/2GtWvXwtzcHP7+/vy50saXsp5xzs7OUu+V\npqYmbG1tSy1bVdS4iFx6ejp69eoFVVVVqKqqYuvWrYKQsaIICwvDiBEjoK+vjy+//BIqKiq4desW\nDh8+jF9++QWA7FtfaGpq4ptvvsHMmTP5V0S7du3C/v37cezYsUrR38HBAdHR0ejVqxe0tLSwbNky\nPHnyRPAQkUX/kJAQjB49GsbGxujduzfy8/MRGxuLgIAAGBoaYvr06Zg+fTo4jkO7du2Qm5uL69ev\n4+rVq1iwYIFUmePGjcPKlSsRFBSE6dOn4+XLlxgzZgy8vLzkfrVYQFn3TV9fH3Xr1sXatWthY2OD\n//77D1OmTBFsf7Fv3z4kJSWhbdu2qFu3Li5fvoyHDx/yYf+Ch/y+ffvQpk0baGpqSo2krl+/HkQE\nDw8P6Onp4fjx43j79i0vZ9KkSejbty+aN2+Ozp074/Tp09i8ebNgIGrRogW0tbUxbdo0/PDDD7h/\n/z7mzJkjuI6joyM2bNiA/fv3w9nZGQcOHMDevXvLtJWfnx/8/f3Rq1cvLFq0CC4uLnj58iX+/vtv\naGhoYOTIkeW/Af+PpaUlRCIRDh48iH79+kFNTa3EAbtoG5TWJmVNO3jwIMLDw9GhQwccPnwYO3bs\nwK5du6SWsbOzw/DhwxEcHIxFixahZcuWyMjIwOXLl/l2IS+DBg3C8uXL0bVrV4SFhcHe3h7p6ek4\nceIEGjZsiO7du8skx8jICHXq1EFMTAycnJygpqYGfX19mfq3tbU1YmNj8eDBA+jo6EBPT6/Yw7Rd\nu3Zo3rw5Bg4ciPDwcOjo6GDu3LnIzs7G6NGjZa5vWW1dGkXHH1nH08JoaGggMjISPXv2RPv27TFp\n0iQ0aNAAGRkZiImJwbp163D79m0+/6hRo9CyZUtwHFdsbz4bGxukpaXh3LlzsLOzg5aWFjQ0NMrU\n6VPG97LqLG/fLsrEiRPh4eGBGTNmYMiQIUhISJBpDz9vb288f/4cycnJsLKyAlB+m587dw4+Pj7l\n1rlPnz6YMGEC5s2bh5CQEMG5ouOLuro675SXdb9++OEHfPHFF1i4cCF69uyJq1evYvbs2Zg0aRLf\nP+Rpi5VJjYvI1a1bF2fOnEFsbCwGDhyIiIiISrkOV8bGgYGBgdixYwcOHDiAFi1aoHnz5pg9e7Yg\nUlGSDGnpYWFhCA4OxoQJE+Di4oKtW7diy5YtUl8BSpNX3rTly5fD0tISvr6+8Pf3h4WFBfr06VPs\nFW1ROUXTRowYgcjISOzatQvu7u7w9vZGTEwM3+BnzJiBZcuWISIiAo0bN0bbtm2xcuXKUiMaYrEY\nR44cQWpqKjw8PPDFF1/wg19ZdZRW58L5yrpvIpEIO3fuxP379+Hq6orhw4dj4sSJ/Ea2AGBgYIA/\n/vgDnTt3hoODA6ZNm4aZM2fym6t6eHjg22+/xahRo2BsbIzx48dL1c3AwAAbN26Er68vGjZsiBUr\nViAiIoK/5z169MDSpUuxaNEiuLm5Ydu2bVi4cKFgANHX18e2bdtw7tw5uLm5ISwsDIsXLxbUedSo\nURg8eDCGDRuGJk2a4OLFiwgNDS3zXgPA/v370atXL0ycOBFOTk7o1q0bDh06BDs7uzLtXlqasbEx\n5s+fjwULFsDU1BQ9e/aUWZY87b2AWbNm4dixY2jcuDEWLFiAxYsXC5ymomXWrl2LiRMnIiwsDM7O\nzvD390dUVNQn/zIviNA0a9YMw4YNg4ODA3r37o1Lly7xD8SS6lAYkUiE8PBw7NixAxYWFnwUUZb+\nPWnSJBgZGcHNzQ1isbjEHfyjo6Ph6OiIrl27onnz5nj69CmOHj0KAwMDmfUsq61Lo2iblGU8kkan\nTp1w8eJFGBsbY8SIEXw7/uuvv7Bq1SpB3mbNmsHFxQWOjo7F5lP26NEDffv2RdeuXSEWi7F48eIS\n615UL3nH97Lq9yl9u3BakyZNsHXrVvz+++9wdXXFokWLsHz58jJt6+DggGbNmmHPnj2CdFltnpmZ\niZiYmGKvsGUZ29XU1BAYGAgiKvZln6LjS48ePWS2RefOnbFhwwZs2rQJLi4u+O677zB27FiBsyhv\nW6wsOKpObmU5+emnn6CqqopRo0ZVtSoMhkKIi4uDn58fUlNTYWpqWtXq1ChEIhE2b96MgQMHVrUq\njGpKTk4OrKysMG3atBJ/gDGEbN26FWFhYSUuGiqNqKgoLF68GP/8849c1+7Xrx/y8vKwe/duucrX\nFmpcRA6QzJdq0aIFVq9ejYCAgKpWh8FgMBg1mIIVnAsWLEBmZqbUT5cxpDNw4EBoaGjI9a3VH3/8\nEYsWLSr3NV++fImYmBhER0cr7PN91Zkqc+RWr16NZs2aQV1dvVinefHiBXr27Ik6derAysqKn0Re\ngJubG86fP4958+Zh7ty5ilSbwahyqip8z2DUVlJSUlCvXj38+uuv2LBhQ4V8Guxz4tKlS8W+tVoW\nSkpKuHXrFjp16lTu67m7u6Nv376YOnUqPD09y12+tlFlix3MzMwwc+ZMxMTEIDMzU3Bu7NixUFdX\nx9OnT3HlyhV07doVbm5uaNiwIXJycvjlwzo6OsjKyqoK9RmMKsHHx0fhKz1rC1W1NQCj+mNlZcXa\nRw0iOTm5qlWoVlT5HLmZM2ciNTUVGzduBABkZGTAwMAACQkJ/ITqoUOHwtTUFPPnz8eFCxfw/fff\nQ0lJCSoqKli/fr3UrRDMzMzw+PFjhdaFwWAwGAwGQx7c3Nxw9erVcper8jlyRf3IO3fuQFlZWbAq\nzs3NjZ9I2bx5c5w8eRInTpxATExMiftZPX78mF8irIi/kJAQhZaXJX9peUo6J2u6tHyfagNF2ru8\nMirL3uWxpSz3oDrbvKLbuLznmb3lz8/GlIqTwcaU2t3G5bH3tWvX5PKjqtyRKzrf5927d4JNGAFA\nW1u72O7R1Q159sH5lPKy5C8tT0nnZE2Xlk+R4e5PtXd5ZVSWvUs6J0uaol8vVLc2Lu95Zm/587Mx\npeJksDGldrdxRdq7yl+tzpgxA48ePeJfrV65cgWenp7IyMjg8yxZsgSnTp3C/v37ZZZbWZ95YpRM\nUFAQIiMjq1qNzwZmb8XC7K14mM0VC7O3Yilqb3n9lmoXkWvQoAFyc3MFH46+du2aXJ9mCg0NRVxc\n3KeqyJCRoKCgqlbhs4LZW7EweyseZnPFwuytWArsHRcXh9DQULnlVFlELi8vDzk5OZg9ezYePXqE\niIgIKCsrQ0lJCQEBAeA4DuvWrUN8fDy6deuGs2fPwsnJSWb5LCLHYDAYDAajplDjInJz586FpqYm\nFi5ciM2bN0NDQ4P/yO6aNWuQmZkJsViMwMBA/PLLL+Vy4hhVA4t+KhZmb8XC7K14mM0VC7O3Yqko\ne1fZPnKhoaElhhL19fXl+vAvg8FgMBgMxudElS92qCw4jkNISAh8fHyKrRQxMDDAy5cvq0YxBoNR\nKvr6+njx4kVVq8FgMBgKIS4uDnFxcZg9e7Zcr1ZrtSNXUtXY/DkGo/rC+ieDwfgcqXFz5BgMBqMm\nweYPKR5mc8XC7K1YKsrezJFjMBgMBoPBqKHU6lerJc2RY69uGIzqC+ufDAbjc4LNkSsBNkeOwaiZ\nsP7JYDA+R9gcOYbCEIlE2Lp1a1WrUW6qg94TJ07EmDFjqlSHoijKLnl5eXBycsKhQ4cq/VqVAZs/\npHiYzRULs7diYXPkGLWSoKAgiEQiiEQiqKiowMrKCqNHjy7XdhQjR46Er69vJWopH0lJSYiIiMCM\nGTME6c+fP8eUKVPg6OgIDQ0NGBsbw9vbG1FRUcjLywNQO+yipKSE//3vf5g6dWqV6cBgMBi1jSrb\nELg6k5iYgmPH7iMnRwQVlXz4+9vCwcGy2skEgOzsbKiqqn6yHEWTm5sLZWXpzc/Lyws7duxAbm4u\nLl26hODgYDx8+BAHDhxQsJYVy5o1a9CuXTuYmpryaQ8fPoSnpydUVVUxZ84cuLu7Q0VFBWfOnMGS\nJUvg5uYGV1dXALXDLr1798bYsWMRGxtbLZ3t0ig615ZR+TCbKxZmb8VSUfau1RG50NDQcocuExNT\nEBl5D89nS7xGAAAgAElEQVSe+eHVKx88e+aHyMh7SExMkVuPipTp4+ODkSNHYubMmTAxMYGVlRUA\n4N69e+jduzf09fVhYGCAjh074saNG4Ky27Ztg62tLTQ0NNC2bVscPHgQIpEIf//9NwBJmFckEuHx\n48eCcsrKyti0aVOJOq1cuRLu7u7Q1taGiYkJAgICkJaWxp8vkPvnn3/C09MTGhoaWL9+fYnyVFRU\nIBaLYWpqii+//BLffvstDh8+jA8fPsDHxwejRo0S5Cci2NraYt68eZg9ezY2bNiAkydP8hGs3377\njc/7+vVrDB48GDo6OrCwsMCCBQsEst6+fYtRo0ZBLBZDXV0dHh4eOHr0KH8+OTkZIpEIO3fuRLdu\n3aClpQVbW9tS7VPAli1b0LNnT0HamDFjkJOTg/j4eAQEBMDR0RG2trYYMmQI4uPjYWdnV6vsoqGh\ngU6dOmHz5s1l2ovBYDA+B+Li4kr80pVMUC2ltKqVdm716uMUEkLk7S3869JFki7PX+fOx4vJCwkh\nCg8/Xu56eXt7k7a2No0ePZpu3bpFN27coLS0NDI2NqYxY8bQjRs36M6dOzR+/HgyNDSkZ8+eERHR\npUuXSCQS0cyZM+nOnTsUHR1NdnZ2JBKJ6MyZM0REFBsbSxzH0aNHjwTXVFZWpk2bNvHHHMfRli1b\n+OOVK1fS8ePHKTk5mc6ePUutW7cmb29v/nyBXEdHRzpw4AAlJydTamqq1PoNHTqU2rdvL0hbunQp\ncRxH7969o23btpG2tja9e/eOP3/s2DFSVlamJ0+e0Lt372jQoEHUpk0bSk9Pp/T0dPrw4QOvt7Gx\nMa1bt44ePHhA4eHhxHEcHT/+8T706dOHrK2t6ciRI3T79m369ttvSVVVlW7fvk1ERElJScRxHNnY\n2NDOnTvp/v37NH36dFJWVqY7d+6UeN8SExOJ4zi6efMmn/b8+XNSUlKisLCwEsvVRrssXbqUrKys\nSqxrdR2WYmNjq1qFzw5mc8XC7K1Yitpb3rGvVkfk5CEnR7pJ8vLkN1V+vvSy2dnyyTQ1NcWaNWvg\n6OgIZ2dn/Pzzz7C2tkZ4eDicnZ1hb2+PlStXQk9PD1u2bAEALFu2DJ6enpgzZw7s7e3RvXt3TJ48\nuUJWB37zzTfw8/ODpaUlWrZsidWrV+PUqVN48uSJIN+MGTPQtWtXWFpawszMrER5hXW6efMmwsPD\n0bJlS2hpaaFnz55QV1fH77//zudZt24dunXrhnr16kFLSwvq6up89EosFkNNTY3PO2DAAIwYMQLW\n1tYYM2YMHB0dcezYMQCSqObu3buxZs0atG/fHg4ODlixYgUaNWqERYsWCXQcP348+vTpAxsbG8yd\nOxcaGhqlRn/v3LkDAKhfvz6fdu/ePeTn56Nhw4alWLf22cXKygopKSnIzc2Vqd4MBqNySUxMQXj4\nCezadRXh4Sc+6Q0UQ/EwR64IKir5UtOVlKSny4JIJL2sqqp8Mps2bSo4vnjxIi5fvgxtbW3+T0dH\nBykpKbh37x4AyYO/ZcuWgnJFj+UlLi4OHTt2RP369aGjo4O2bdsCAFJShINB8+bNZZanra0NTU1N\nuLi4wM7OjndI1dTUEBQUhIiICACShQLR0dEIDg6WSXbjxo0Fx6ampnj69CkAiY0AyVy0wnh5eSEh\nIaFEOSKRCGKxGOnp6SVe9/Xr1wAALS0tPq28TnRtsYuOjg4A4NWrVzLpVl1g84cUD7N55VMw9Scp\nyQ9EEypkOhFDNiqqfbPFDkXw97dFZORx+Pi049Oyso4jKMgODg7yyUxMlMhUUxPKbNfOrpRS0uE4\nTuAMABKHwN/fH6tXry6WX1dXly/HcVypskUiES+vgLy8POTnl+xw/vvvv+jSpQuGDh2K0NBQGBkZ\n4eHDh/D390d2drYgb1G9S6Jly5bYtGkTlJWVYWpqWmxRxKhRo7B06VJcv34dx48fh1gsRufOnWWS\nLW1hSGn1A6Q7XEXlcBxXqhw9PT0AQEZGBm8He3t7iEQiJCQkoEePHmXqXlvsUuDUFtiEwWBUHceO\n3cebN+1w65bkWE0N0NFph+PHT1TIgjxG5cMickVwcLBEUJAdxOIT0NOLg1h84v+dOPkbdGXILEyz\nZs1w48YNmJmZwcbGRvBnaGgIAGjYsCG/qKGAc+fOCY7FYjEA4NGjR3za1atXS40cXbx4ER8+fMCK\nFSvQqlUr2NvbCxY6yIO6ujpsbGxQv359qStbbW1t4efnh4iICKxfvx7Dhw8XOKmqqqr8th1lUbic\ns7MzAODkyZOCPKdOnYKLi4s8VeGxt7cHIIxSGhgYoHPnzli9ejXevHlTrExOTg7ev3/PH9cWu6Sk\npMDKyqrEVcvVFbbHluJhNq9ciICEBBESEoD8fODFizjcvi1Jl3fqD0N2Kqp916yRtJyEhoZK/URX\nWTg4WFb4L5GKkklExRyrcePGYf369ejevTtmzJgBc3NzpKam4tChQ+jWrRtatWqF7777Dh4eHggJ\nCcGgQYNw+/ZtLFu2DMDHh7adnR0sLS0RGhqK5cuX49mzZ5g+fXqpkTx7e3twHIclS5Zg4MCBuHbt\nGubOnfvJ9SyLUaNGYdCgQcjPz8fIkSMF52xsbLBr1y7cvHkTYrEYOjo6JW7RUtietra26Nu3L8aM\nGYNff/0V9evXx88//4ybN28K5p6VJKc0GjRogHr16uH8+fOCOXFr1qxBmzZt0LRpU8yZMwdubm5Q\nVVXFuXPnsGTJEvz222/89iOyUBPscu7cOfbKjMGoYrKygD17gOTkjxFzVVXA2RngOPmn/jDKT8En\nuuSlVrvcBY5cbULaK1KxWIyzZ8/CyMgIvXr1gqOjIwIDA/Hw4UN+z7ImTZpgy5Yt2LJlC1xdXbFw\n4ULe4VJXVwcg2WZk+/btePr0Kdzd3TF+/Hj8+OOP/CtXabi6uuKnn37Cr7/+CmdnZyxbtgwrVqwo\npmNZr3VLq580evToAT09PXTq1KnYwokRI0bAw8MDrVu3hlgsLtXZKHq9devWoWPHjggMDETjxo1x\n9uxZHDhwAA0aNCi1LrLoHBgYiL179wrSLCwsEB8fjx49eiA0NBRNmzZFmzZtEBERgdGjR/PRsNpi\nl8zMTMTExCAwMLDMulQ3attYUhNgNq8cnj8HIiKAxETAxsYWubnHoa8PtG/vAy2tgqk/tlWtZq2n\noH37+Ph80vYj7FurnzG//fYbhg8fjhcvXvAT0GsKz58/h4WFBbZv344vvviiqtWRieTkZDRq1AiJ\niYmlrtr9FKq7XaKiorB48WL8888/JeZh/ZPBqDzu3gV27wY+fPiYZmGRgszM+8jNFUFVNR/t2lXM\nhvWM8iHv2Mccuc+IJUuWwNfXFwYGBrh48SImTJgAHx+fKv/+aHnIzc3Ff//9h9DQUJw4cYLf1qOm\n8N133yErKwvh4eEVKrcm2CUvLw+NGjXC8uXL0alTpxLzVdf+GRcXxyJECobZvOIgAs6cAY4fl/wP\nAMrKwJdfAgWzN5i9FUtRe8s79tXqOXIMIdevX8eyZcvw4sULWFhYYPDgwZg9e3ZVq1UuTp8+DT8/\nP9jY2CAqKqqq1Sk3BfMSK5qaYBclJSXcKlgax2AwFEZODrBvH1D4Yz86OsCAAUChLwYyaigsIsdg\nMKoVrH8yGBXHq1fA778DhTcTqF8f6NcPqFOn6vRiFIdF5BgMBoPBYPAkJwM7dgCFdjGChwfQqROg\npFRlajEqmFq/apXtQ8RgMCoCNpYoHmZz+SACLlwAfvvtoxOnpAR88QXQtWvJThyzt2IpsHdcXNwn\nrVqt1RG5TzEMg8FgMBg1jdxc4M8/gfj4j2l16khepRb61DOjGlGw3628c9bZHDkGg1GtYP2TwZCP\nt28lr1IfPvyYZmoqWdRQw3aY+ixhc+QYDAaDwfhMSU0Ftm+XOHMFuLpKXqeqqFSdXozKp1bPkWMw\nGIyKgs0fUjzM5rJx9SqwceNHJ47jgI4dgZ49y+fEMXsrloqyN3PkGAKCgoLQvn37Kru+tbU1fvzx\nR4Vcy8rKCmFhYQq5VnVFJBLVqA2hGQzGR/LzgcOHgehoIC9PkqahAQQGAq1aSRw6Ru2HOXI1kOfP\nn2PKlClwdHSEhoYGjI2N4e3tjaioKOQV9OYyOH36NEQiEf79919Buqzf9KwsLl26hIkTJyrkWlVd\n1/KSmpoKkUiEU6dOlbusv78/hg0bViw9LS0NvXv3rgj1aj1sx3vFw2xeMu/fA1FRwLlzH9PEYiA4\nGLCV8zOpzN6KpaLszebI1TAePnwIT09PqKqqYs6cOXB3d4eKigrOnDmDJUuWwM3NDa4F31uRgaIT\nK6t6krmhoWGVXr8mUJH3SCwWV5gsBoOhGNLTgW3bJJv9FuDkBPToAaipVZ1ejKqBReSkkHgvEeHb\nw7Hi9xUI3x6OxHuJ1UbmmDFjkJOTg/j4eAQEBMDR0RG2trYYMmQI4uPjYWdnh8jISOjr6yMzM1NQ\nds6cOWjQoAGSk5Ph5eUFQPIqUyQSwc/Pj89HRFi7di0sLS2hq6uL7t274+nTpwJZmzZtQsOGDaGm\npgYLCwvMnDlTEA308fFBcHAw5s6dCxMTExgaGmLo0KHIyMgotX5FX3daWVlh1qxZGD16NPT09FCv\nXj38/PPP+PDhA8aOHQsDAwOYm5sX+3apSCTCqlWr0Lt3b9SpUwfm5uZYtWpVqdfOyclBaGgobGxs\noKGhgUaNGmHt2rXF5K5evRr9+/dHnTp1YGVlhb179+Lly5cICAiAjo4ObG1tsWfPHkG59PR0BAUF\nQSwWQ0dHB56envjrr7/483FxcRCJRDh27Bi8vLygpaUFZ2dnHD58mM9T///3DvD19YVIJIKNjQ0A\nICkpCb169YKZmRm0tLTg6uqKzZs38+WCgoJw4sQJbNq0CSKRSBDVK/pq9cmTJxgwYAD09fWhqakJ\nX19fXL58uVx61lbY/CHFw2xenIQEYN06oRPn6yvZXuRTnThmb8XC5sjJgDwbAifeS0RkbCSeGT/D\nq3qv8Mz4GSJjIz/JmasomS9evMChQ4cwbtw4aGtrFzuvpKQETU1NDBgwABzHYefOnfy5/Px8bNiw\nAcHBwahfvz727dsHALh48SLS0tIEjsfFixdx8uRJHDp0CDExMbh+/TomT57Mnz948CBGjBiBoUOH\nIiEhAUuXLkV4eHixPXB27dqFV69e4eTJk/j9999x4MABLFy4sNQ6Snvd+dNPP8HBwQHx8fEYP348\nxo0bhx49esDe3h6XLl3CuHHj8M033xT7jufs2bPh5+eHq1evYsqUKZg0aRL2799f4rWDg4MRHR2N\ntWvX4vbt25g1axamTp2KDRs2CPKFhYWhW7du+Oeff9C1a1cMHjwYAwYMQOfOnXH16lV07doVQ4YM\nwYsXLwAAmZmZ8PX1RUZGBg4fPoyrV6+iS5cuaN++PW7fvi2QPXnyZMyYMQP//PMPWrRogf79++PV\n/4/Y8f+/MdSePXuQlpaGixcvAgAyMjLg7++Pw4cP48aNG/jqq68wbNgwvu2vWrUKbdu2Rf/+/ZGW\nloa0tDS0atWqWP2JCD169MCdO3dw8OBBXLhwAcbGxmjfvj2eP38us54MBqPiIZJ88H7nTsm3UwFA\nVVWytYi3N5sPV5P51A2B2T5yRQjfHo5nxs8QlxwnSNdK1YKHp4dculw4fQHvzd8L0nysfCB+KsaY\nfmNkl3PhAlq2bIk9e/agR48epeb99ttvER8fz0d9YmJi8OWXX+LRo0cwMjLC6dOn4eXlheTkZD7S\nA0iiN4cPH8bDhw+h8v/LnRYtWoQVK1bg8ePHAIC2bdvCzMwMv//+O19u1apVmDZtGt68eQNlZWX4\n+Pjg9evXuHLlCp9nzJgxuHr1Kv7+++8S9ba2tkZwcDCmT58OQBKRa9KkCe9oEhH09PTg4+PDO6NE\nBENDQ8ydOxdjx44FIIk0DR48GJs2beJlDxo0CA8fPuSjUYWvlZSUBDs7O9y6dQsNGjTgy8yZMwd7\n9+7l6yESiTBhwgQsW7YMAPDff/9BLBZj/PjxWLlyJQDg1atXMDAwwIEDB9ClSxdERkZi5syZSE5O\nhlKhLdX9/Pzg5uaG5cuXIy4uDn5+foJ7+/TpU9SrVw8xMTFo3749UlNTUb9+fcTFxfER1ZLo0aMH\nxGIxH1Fs3749LCwsijmlIpEImzdvxsCBA3H8+HG0b98eN2/ehKOjIwAgOzsbVlZWGD16NGbOnCmT\nnp8K20eOwRDy4QOwZw9w587HNAMDiRPHZkfUHtg+chVEDuVITc+DbIsIpJGPfKnp2fnZ5ZJTnhs8\natQoNGrUCImJiXBwcEBERAS6d+8OIyOjMss6OjryThwAmJiYID09nT++efMmAgICBGW8vLzw4cMH\n3L9/Hw4ODgAANzc3QR4TExPExMTIXAdA0rALy+E4DnXr1hXMA+Q4DmKxGM+ePROULRp1at26NWbN\nmiX1OpcuXQIRoWnTpoL03NxcKCsLu0lhfYyMjKCkpCTQR09PD6qqqvzr6IKop56enkBOVlYWtLS0\nBGmNGzfm/xeLxVBSUhLYXhrv37/HnDlzcODAATx58gTZ2dnIysoSvC6XhYSEBBgaGvJOHACoqqqi\nRYsWSEhI+GQ9GQxG+fnvP8lH7//772OanR3Qu7dkhSqDwRy5Iqhw0jfdUYL8XxgWlfAGW1WkWi45\n9vb2EIlESEhIKDMi17BhQ3h6emLt2rWYOnUq/vjjDxw8eFCm66gU2XhInl8JHMdBVVW1WFp+vnSn\ntrz6SEuTR3YBBWXPnj0LTU3NYrJL06ckHQtk5ufnw8nJCdHR0cXKFb1WUZsV1q0kvv/+e+zfvx/L\nly+Hg4MDNDU1MWnSJLx+/brUcrJCRMVsII+eNZ24uDi2qk/BfO42v3sX2LULyMr6mNamDdCuHSCq\nhIlRn7u9FU1F2Zs5ckXwb+qPyNhI+Nj78GlZd7MQNCAIDnYOcslMNJfMkVOz/zgTNetuFtr5tiuX\nHAMDA3Tu3BmrV6/G+PHjoVPkmys5OTnIycnhnYNRo0ZhwoQJ0NfXh7m5Ofz9/fm8BQ9iaduVlLUl\nh7OzM06ePIkxYz6+Fj558iQ0NTVhK++690rg7Nmz+Prrr/njv//+G87OzlLzFkTiUlJS0LVr1wrV\nw8PDA1FRUdDW1kbdunXlllPSPfvrr78QGBiIPn36AJA4VImJiTAxMRGUzc3NLVW+s7Mznj9/jlu3\nbsHJyQmAJGp4/vx5jBs3Tm69GQxG+SACTp8GTpyQ/A8AyspA9+6Ai0vV6saoftTqxQ7y4GDngCDf\nIIifiqGXpgfxUzGCfOV34ipa5po1a6CiooKmTZti27ZtuHnzJu7du4fNmzfDw8MD9+7d4/MWPNjn\nzZuHkSNHCuRYWlpCJBLh4MGDePr0Kd68ecOfKyv69sMPP2D37t1YuHAh7ty5gx07dmD27NmYNGkS\n/xqSiOR61y/Ldiiyph08eBDh4eG4e/cufvrpJ+zYsQOTJk2SWsbOzg7Dhw9HcHAwNm/ejHv37uHa\ntWvYsGEDFi1aVO56FGbQoEGwtrZG165dcfToUSQnJ+P8+fOYP38+P89PFoyMjFCnTh3ExMQgLS0N\nL1++BAA4ODggOjoaFy9exM2bN/HVV1/hyZMngvpZW1vj8uXLePDgAf777z+pTl27du3QvHlzDBw4\nEH///Tdu3LiBIUOGIDs7G6NHj/4kG9QGWKRC8XyONs/OBnbvlixsKOjCurrAiBGV78R9jvauStg+\ncpWIg53DJzlulSnTwsIC8fHxWLhwIUJDQ/Hvv/9CR0cHjo6OGD16tCDipKamhsDAQKxZswbDhw8X\nyDE2Nsb8+fOxYMECTJgwAV5eXjhx4kSJm+QWTuvcuTM2bNiABQsWYNasWahbty7Gjh2LkJAQQf6i\ncmTZgFdambLylJQ2a9YsHDt2DFOmTIGenh4WL16M7t27l1hm7dq1WLp0KcLCwvDgwQPo6OigUaNG\nnxyNUlNTw8mTJzFjxgwMGzYMz549Q926ddGiRQt06dKl1DoURiQSITw8HCEhIVi6dCksLCzw4MED\nLF++HCNHjoSvry90dHQwatQo9OnTBw8ePODLTpo0CdevX4ebmxsyMjJKXDARHR2NiRMnomvXrsjK\nykKLFi1w9OhRGBgYyKwng8GQj1evJPPh0tI+pllaSrYWKTKdlsHgYatWazn9+vVDXl4edu/eXdWq\nKJTCqzEZNYvq2j/Z/CHF8znZPDkZ2LFD8sWGAjw8gE6dACX5p2iXi8/J3tWBovZmq1YZAl6+fIkL\nFy4gOjoaJ06cqGp1GAwGgyEFIuDCBSAmRvLtVEDiuHXpAhRZRM9gSIVF5GopVlZWePHiBb799lvM\nnTu3qtVROCwiV3P5HPongwEAubnAwYNAoe02UaeO5FVqoe09GZ8J8o59zJFjMBjVCtY/GZ8Db98C\n27cDqakf00xNJZv8FtmQgPGZIO/Yx1atMhgMhgyw71Aqntpq89RUYO1aoRPn5gYMG1a1TlxttXd1\npaLszebIMRgMBoOhIK5cAQ4cAAq2g+Q4oGNHoEUL9r1UhnzU6lerISEh8PHxKbYKh726YTCqL6x/\nMmojeXnAkSPA+fMf0zQ0gL59ARubqtOLUfXExcUhLi4Os2fPZnPkCsPmyDEYNRPWPxm1jffvgZ07\ngaSkj2liMRAQAOjrV51ejOoF236kHOjr67NNTRmMaop+NX2ysT22FE9tsHlammST31evPqY1bAj0\n6AFI+WRxlVIb7F2TYN9a/QRevHhR1SrUStggoFiYvRmM6k1CAhAdDeTkfEzz9QW8vNh8OEbF8Vm+\nWmUwGAwGo7LIzwdiY4G//vqYpqYG9OoFOFTs1x8ZtQj2apXBYDAYjCrmwwdgzx7gzp2PaYaGkv3h\n6tatOr0YtRe2jxyjwmB7ECkWZm/FwuyteGqazf/7D1i3TujE2dkBwcE1w4mrafau6bB95BgMBoPB\nqCbcuQPs3g1kZX1M8/QE/PwAEQuZMCoRNkeOwWAwGAw5IQJOnwZOnJD8DwAqKsCXXwIuLlWrG6Nm\nwebIMRgMBoOhQLKzgX37JKtTC9DVlcyHMzGpOr0Ynxcs4MuoMNj8CsXC7K1YmL0VT3W2+atXwIYN\nQifO0hL46qua68RVZ3vXRtgcOQaDwWAwqoCkJMmXGt6//5jWvLnkm6lKSlWnF+PzhM2RYzAYDAZD\nBoiACxeAmBjJXnGAxHHr2hVo0qRqdWPUfNgcOQaDwWAwKoncXODgQeDKlY9pdeoA/fsDFhZVpxeD\nwebIMSoMNr9CsTB7KxZmb8VTXWz+9i0QGSl04szMJPPhapMTV13s/bnA5sgxGAwGg1HJpKYC27dL\nnLkCGjcGunUDlNkTlFENqHFz5C5cuIAJEyZARUUFZmZm+O2336AspTexOXIMBoPB+BSuXAEOHADy\n8iTHIhHQoQPQogX76D2j4pHXb6lxjlxaWhr09fWhpqaG6dOno2nTpujdu3exfMyRYzAYDIY85OVJ\nFjRcuPAxTUMD6NsXsLGpOr0YtRt5/ZYaN0euXr16UFNTAwCoqKhAia31rjaw+RWKhdlbsTB7K56q\nsPn790BUlNCJMzaWzIer7U4ca+OKpaLsXeMcuQJSUlJw9OhRfPHFF1WtCoPBYDBqAWlpwNq1QHLy\nx7SGDYERIwB9/SpTi8EolSp7tbp69WpERkbixo0bCAgIwMaNG/lzL168wIgRI3D06FEYGRlh/vz5\nCAgI4M+/efMGX3zxBdatWwd7e3up8tmrVQaDwWDIyo0bks9t5eRIjjkO8PUF2rZl8+EYiqHG7SNn\nZmaGmTNnIiYmBpmZmYJzY8eOhbq6Op4+fYorV66ga9eucHNzQ8OGDZGbm4sBAwYgJCSkRCeOwWAw\nGAxZyM8HYmOBv/76mKamBvTqBTg4VJ1eDIasVNmr1Z49e6J79+4wNDQUpGdkZGDPnj2YO3cuNDU1\n0aZNG3Tv3h1RUVEAgG3btuHChQuYO3cufH19sWPHjqpQnyEFNr9CsTB7KxZmb8VT2Tb/8AHYtk3o\nxBkaAiNHfp5OHGvjiqXW7CNXNIx4584dKCsrw87Ojk9zc3PjKzx48GAMHjxYJtlBQUGwsrICAOjp\n6aFx48bw8fEB8NGA7Ljijq9evVqt9Kntx8zezN61/biAypD/+jXw778+eP4cSE6WnG/f3ge9ewPn\nzlWP+tcme7Pj4sdXr15FXFwckgtPypSDKt9+ZObMmUhNTeXnyP3111/o168fnjx5wueJiIjA1q1b\nERsbK7NcNkeOwWAwGNK4cwfYvRvIyvqY5ukJ+PlJ9opjMKqCGjdHroCiStepUwdv3rwRpL1+/Rra\n2tqKVIvBYDAYtQwi4PRp4MQJyf8AoKICdO8ONGpUtboxGPJS5b89uCLLgRo0aIDc3Fzcu3ePT7t2\n7RoaydHLQkNDi4WMGZUHs7ViYfZWLMzeiqcibZ6dDezcCRw//tGJ09UFhg9nTlwBrI0rlgJ7x8XF\nITQ0VG45VebI5eXl4cOHD8jNzUVeXh6ysrKQl5cHLS0t9OrVC7NmzcL79+9x+vRp/PHHHzLPiytM\naGgo/06awWAwGJ8nL18C69cDN29+TLOykmzya2JSZWoxGAAkc+dqpCNXsCp14cKF2Lx5MzQ0NBAW\nFgYAWLNmDTIzMyEWixEYGIhffvkFTk5OlapPTk4OZs2aBQcHB7i5uaFJkyaYPHkycnNzSy23YsUK\nPHv2jD8ODQ3F999/X2l6JiUloUWLFmjUqBHmz5/Pp8fFxeGrr74qsdzly5cRGBhYrmudPHkSHh4e\ncHd3R6NGjfDrr7/y55YsWQJHR0coKSnh4MGDACDVaY6IiICbmxtcXV3h5uaGLVu28OciIyOhp6cH\nd3d3uLu7S/3UWlnk5OSgS5cucHNzw6RJk8pdHpDcs5yCzaM+kX379uHixYv8cVxcHDw8PCpEdlEK\n26G1OY4AACAASURBVLtfv344f/48fxwTEwNPT080aNAAHh4e+OKLL3Djxg1kZWWhWbNmyMjI4PMG\nBQXBwsIC7u7ucHR0xA8//FDmtRVZz+oC+1GoeCrC5klJQEQEkJ7+Ma15c2DwYEBL65PF1ypYG1cs\nFWZvqqWUt2qDBg2iPn360Lt374iIKDc3l9auXcsfl4SVlRXduHGDPw4NDaXJkyeXX2EZmTRpEkVF\nRVFeXh45ODjQu3fvKCsri7y8vOjly5cVei1HR0c6ePAgERGlpaVRnTp16OnTp0REdPHiRbp//z75\n+PjweaQRFxfH65WamkpGRkaUkpJCRESRkZHUt2/fT9Lx3Llz5Ozs/EkyOI4r8z5LIycnp1ja0KFD\nafXq1fxxbGwsNWvW7JP0K4urV6+Sj48PfxwTE0Pm5uZ0+fJlQZ4jR44QEdHChQtpwYIF/LmgoCAK\nDw8nIqLXr1+TtbU17d+/v9RrVkU9GYzykJ9PdPYs0ezZRCEhkr85c4gKdQsGo1ohr0tW5XPkKhNZ\n58jdvXsX0dHRWLduHbT+/yeakpISgoODoaWlBRcXF1y6dInPv2zZMowaNQo//vgjHj9+jD59+sDd\n3R23bt0CADx69Ahdu3aFk5MTunXrxm94/O7dOwwbNgwuLi5wcXHB4sWLeZk+Pj6YMmUK2rZtC1tb\n2xKjIqqqqsjIyEB2djby8/PBcRzmz5+Pr776Cnp6eiXWsXDE5OnTp/D394erqytcXV3x3XffSS1j\nbm6OV69eAZAsONHV1eXt06xZM9gU+fCgNFt7e3vzepmZmcHExASpqakAJAtdqIQVOsHBwbxe6enp\nsLGxwT///CPIk5iYiMDAQCQlJcHd3R07duzAiRMn0Lp1azRp0gSurq7Yvn07n3/27NlwcnKCu7s7\nmjZtitevX2Ps2LEAgNatW8Pd3R1v3rzBmzdvMHLkSLRo0QJubm6YMGEC8vPzAUju08SJE9GqVSv0\n6NFDoE9MTAz++OMPLFiwAO7u7oiKigLHccjNzcXXX38NNzc3NG7cGLdv3wYApKWlwc/PD82aNUOj\nRo0wdepUXlZoaCgCAgKktqOi9l63bp3gyydz5szBrFmz0KRJEz7Nzc0N7du3BwD0798f69evF8gq\nuA86Ojrw8PBAYmIixo0bhyVLlvB5rly5AkdHRxw5cqRc9QSAhQsX8u1++PDhfERQlnpWF9j8IcUj\nr81zcyVfaTh8WLLhLwDUqQMEBQGFugWjCKyNK5aKmiPHInJEtH37dmrcuHGJ53/55RcaNmwYERHl\n5+eTvb09/fPPP0QkicglJCTweUNCQsje3p5ev35NREQdOnSgiIgIIiKaMmUKBQUFERHRmzdvyNnZ\nmQ4dOkRERD4+PjRgwAAikkRFjIyM6N69e8V0efLkCXXs2JHc3d1p7dq1lJiYSF27di2zjoUjJsuW\nLaNRo0bx5169eiW1zJ07d8jc3Jzq169PderUoX379hXLUzgiFxsbW6YOFhYW9OHDByKSROSMjIzI\n1dWVvLy8BJG9zMxMcnV1pejoaGrXrh39/PPPUmXGxcUJIkEvX76kvLw8IpJEEc3NzenVq1f0/Plz\n0tPT46/97t07ys3NJSJJRC4jI4OXMWLECIqKiiIiory8PBowYAB/D318fKh79+78NYpSOLpVUGcV\nFRW6evUqERGFhYXRoEGDiIjow4cPfCQwOzub/Pz86PDhw0RUejsqLJuIyNnZmW+PRESampp07do1\nqfoVYGpqSg8fPuR1LoiuPXr0iMzMzOj48eN069YtsrOz48sMHz6cVq1aVe56/vnnn9SoUSN6+/Yt\nERENGTKEpk6dKnM9qwtltW9GxSOPzd+8IVq79mMULiREcvz/TYxRCqyNK5ai9pbXJavVEbmKIjAw\nEDExMXj58iViYmJQr149uLi4SM3LcRw6deoEHR0dAECLFi1w//59AMDx48cRHBwMANDW1kZAQACO\nHTvGl+3bty8ASVTEyclJsHK3gHr16uHw4cOIj4/no1YrV67Etm3b0KdPHwwfPpyPopVEq1atcOjQ\nIUyZMgUHDx7ko2yFISL06tULy5cvR0pKCi5fvoyxY8fi4cOHJcot7X3/zZs3MXToUPz+++9QU1MD\nAHTr1g2pqam4du0aVq5ciREjRvBRHHV1dezYsQODBg2CgYEBvv76a6lyqUhE7+nTp+jduzdcXFzQ\nqVMnvHjxAomJidDT04OdnR0GDx6MdevW4e3bt1BSUvo/9u48LMrzXPz4d4ZdQVFRFGURUURQcYn7\nFtFo1MS4RNTERI2pbVO75pz0JLFi0pN0OWnza3PSNDFq1cZdGzUeV4JL3DdURBQRRNxlkx1m5vfH\nW2YYXDLAzDsL9+e6vOI8A7y3d17l5nmf534e+TW3bNnCH//4R+PM3alTp7h8+bLx/ZkzZ6J9QrOp\n2jFVr7sE8/uhqqqKN998k9jYWPr27cv58+dJTk42ft7j7qNq1fm+evUq7du3f2w8j9KhQwcyMjKM\n8VbPrk2cOJG33nqLkSNH0rVrV8LDw9mxYwd5eXls3bqV2bNn1/nPuWfPHmbMmIGvry8AP/jBD8zu\n++/7czoKWT+kvrrmPDsb/v53yMkxjcXGwpw58O9bTDyB3OPqsla+7d5HzhH06tWLy5cvk5+f/8jH\nk02bNmXmzJksXbqUffv2GR/HPU51oQLKI9qysjLj65rf/AwGg1n7FW9vb7PP0+l0T7zOypUrGTBg\nAEFBQfz2t7/l3LlzrFixgo8//viJ07QDBgzgzJkz7Nq1i5UrV/K73/2OAzXPqAHu3r1LRkYGU6dO\nBZS2MN27d+fo0aMEBwc/Ma7aLl++zPjx4/n8888ZNGiQcbzm8WyxsbEMHjyYY8eO0bVrVwBSUlJo\n3rw5t27dQqfTPbbwqulHP/oRL7zwAps3bwaU4qKsrAytVsuRI0f47rvvSExMpE+fPuzcufOxbW2+\n/vpr46kgtVUXJI9Tu6VO7f+v1Rto/vSnP5Gfn8+xY8fw9PRk/vz5xntFo9E8dB9Z+sixd+/eHD16\nlB49ejwxxup7UaPR8F//9V/8+Mc/fujjfvrTn/Lpp5+SkpLClClTzPo5WvrnrN3ksnYBWN8/pxA1\nnToF33wD1f9sarUwZoyysUEOvReuzKVn5CxdI9e5c2eef/555s+fT1FREaC0R/nyyy+Na3neeOMN\nPv74Y06dOmW2u7JZs2ZmM2C1v0kZaqwDGzVqlHFt0oMHD1i7dq1x3dKjPvdJcnNzWbJkCb/+9a+p\nqKgw+6ZZc0fio2RmZuLr60t8fDwfffQRJ0+efOhjWrdujZ+fn7HAu3XrFmfOnCE6Ovqxf75H5Toj\nI4MxY8bw17/+lTFjxpi9d+PGDePvs7KyOHLkiHFG5+rVq/ziF79g//79hIeH8+67735PRhQFBQWE\nhoYCsHv3buOsZlFREXfu3GHYsGEkJCQQExPD+fPnAWV2tOb/w+eff54PP/zQuC7u3r17Fh+hUvt+\n+L5Y27Vrh6enJzk5OXz99dfG9x51H9VWne+wsDDjukOAd999l/fff5/Tp08bx86ePcvu3buNr69f\nv07Hjh2f+PUBxo0bR1paGn/+85/NfoCpy59z1KhRrF27lqKiIgwGA0uWLOGZZ5555MfW5e+A2mT9\nkPosyblOB9u3w5YtpiLOx0fZldq/vxRxdSH3uLqcvo+cGurSR+4f//gHnTt3pk+fPnTv3p0ePXqQ\nlpZmnC0ICwsjKiqKuXPn4u5umsj86U9/ypw5c+jduzepqaloNBqzmYqarxcuXIjBYKB79+4MGjSI\nV155xewbWu0Zjif59a9/zfvvv4+7uzvNmzdn5syZdO/enb/97W/85Cc/eejja8bx7bff0qdPH3r1\n6sW4cePM2orU/Pj169fz5ptv0qtXL0aPHs17771nbAPzxz/+keDgYI4ePcrs2bMJCQkxzqS8/vrr\nbNu2DYC33nqLvLw8Fi5caGwzUl1Q/O///i8xMTHExsYyceJEPvzwQ3r27ElFRQXTp0/n97//PZ06\ndeLTTz9ly5Yt7Ny584l/LoDf/e53xpjXr19vLAwLCgqYNGkSPXv2pHv37rRr147JkycD8Ktf/YqR\nI0fSu3dvCgsL+fjjj3FzczO2TXn22WfNis4nmTVrFl999ZXZJoDH3Q8//elP+e677+jevTvz5s1j\n1KhRj/1z1X5d09NPP82RI0eMr8eMGcPf//533njjDSIjI4mJieHdd981Pn7NysrC29ubkJAQs6//\nKBqNhldeeYXw8HCz2cu6/DnHjh3Lyy+/zMCBA+nRowdardZYmNflzylEbcXFsHIlHDtmGgsMVPrD\n1fg5RQiH1tA+cnY/a9VWrH3WamFhIVFRUZw4cYJ20kFSOJAzZ87wy1/+ksTERIs+/g9/+AN6vZ5f\n//rXFn386NGj+eEPf1ivPn9C2MqtW7BmDdScGI6OVo7b8vS0X1xC1Fd96xaXnpGzls8++4zo6Gje\nfPNNKeKEw4mNjSUgIMCsQe/jlJeXs27dOhYsWPC9H3vixAkiIiJo0aKFFHHCoZw/r5zUUF3EaTQQ\nFwdTp0oRJxofmZETVpOUlCS7nlQk+VaX5Ft9tXOu1ysH3h88aPoYLy+YMgW6dFE/Plcj97i6aue7\nvnWLS+9arV4jJzemEEI4t7Iy2LgRanQColUrmDEDAgLsF5cQDZWUlNSgjSYyIyeEEMKh3b2rrIe7\nf9801rmzMhNXo+uNEE5NZuSEEEK4nLQ02LQJystNY0OHwtNPK73ihGjs5K+BsBrpQaQuybe6JN/q\nSUvL4pNPEpk06WN++ctEcnKyAPDwgBdfVDY2SBFnfXKPq8ta+Za/CkIIIRxGWloWS5ems2/fSK5e\njaW4eCRnzqRTXp7Fa68pLUaEECayRk4IIYTD+MMfEtm3byQ1D6jx94fhwxP5xS9G2i8wIWxM1sg9\nguxaFUII53HlCuzfrzUr4tq3h06dQKORB0jCNdls1+qsWbMs+gJeXl4sWbKk3gHYiszIqU96EKlL\n8q0uybftGAxw6BDs2QNHjyZSUjISjQZ8fZPo02cEAG3aJPLjH8uMnC3JPa4um/eRW7duHW+//fZj\nv2j1BT/66COHLOSEEEI4vooK5cD78+eV1+HhnUhN3UvPnnHk5ipj5eV7iYuLsF+QQjiwx87IderU\niStXrnzvF4iMjCQtLc3qgTWUzMgJIYRjy8tT+sPdvm0aCwmB2Ngsjhy5QkWFFk9PPXFxnYiMDLVf\noEKooL51i2x2EEIIobqMDFi/HkpLTWNPPQVjx4Kbm/3iEsJe6lu31Gv1aEZGBpmZmfX5VOHCpAeR\nuiTf6pJ8W0f1eriVK01FnJsbPP88jB9vXsRJztUl+VaXqn3kpk+fzqFDhwBYtmwZ0dHRdOvWTdbG\nCSGEsFhlpXJKw65dSkEH4OcHc+ZA7972jU0IZ2XRo9XWrVuTk5ODp6cnMTEx/P3vf8ff35+JEyeS\nnp6uRpx1ptFoWLRokbQfEUIIB5Cfr6yHu3XLNBYcDNOmKcWcEI1VdfuRxYsX226NnL+/P/n5+eTk\n5NCvXz9ycnIA8PPz48GDB3WPWgWyRk4IIRxDRgZs2AAlJaaxvn3h2WdlPZwQ1Wy6Rq5nz558+OGH\nvPfee4wfPx6A69ev07x58zpfULguWV+hLsm3uiTfdWcwwOHDynq46iLOzQ2eew4mTPj+Ik5yri7J\nt7pUXSP35ZdfcvbsWcrKynj//fcBOHz4MC+99JJVghBCCOFaKith82bYudO0Hs7XF2bPhj597Bqa\nEC5F2o8IIYSwqvx8WLsWbt40jXXoAPHxsh5OiMex+VmrBw4c4PTp0zx48MB4MY1Gw9tvv13niwoh\nhHBNV68q/eFqrofr3RvGjQN3lz7dWwj7sOjR6oIFC5g6dSr79+/n4sWLpKamGv8rRDVZX6Euybe6\nJN9PZjDAkSMPr4ebMEFZE1efIk5yri7Jt7qslW+L/mqtWrWKlJQUgoKCrHJRIYQQrqOyErZtg+Rk\n05ivr9JaJCTEfnEJ0RhYtEauR48eJCYmEhAQoEZMViFr5IQQwvYKCpT1cDdumMbat1fWwzVrZr+4\nhHA2Nj1r9fjx43zwwQfMnDmTwMBAs/eGDRtW54uqQQo5IYSwrcxMZT1ccbFprFcv5agtWQ8nRN3Y\ndLPDyZMn2b59OwcOHMDHx8fsvezs7DpfVC0JCQlysoOKkpKSJNcqknyrS/JtYjDA8eOwYwfo9cqY\nVqs0+O3bFzQa61xHcq4uybe6qvNdfbJDfVlUyL3zzjts27aN0aNH1/tC9pCQkGDvEIQQwqVUVSnr\n4c6cMY01baqshwsNtV9cQjir6gmnxYsX1+vzLXq0GhISQnp6Op6envW6iD3Io1UhhLCuwkJlPdy/\nT2kEIChIWQ8nB/0I0TA2XSO3fPlyjh07xsKFCx9aI6fVWtTBRHVSyAkhhPVkZcG6debr4WJjlfYi\nsh5OiIaz6Vmrc+fO5bPPPqN9+/a4u7sbf3l4eNT5gsJ1SQ8idUm+1dVY8129Hu4f/zAVcVqt0uB3\n4kTbFnGNNef2IvlWl6p95DIyMqxyMSGEEM6jqgq++QZOnzaNNW0KL74IYWF2C0sIUYOctSqEEOIh\nsh5OCHVZ/dHqwoULLfoCixYtqvNFhRBCOK5r1+Dzz82LuJ49Yc4cKeKEcDSPnZHz9fXl7NmzT/xk\ng8FAnz59yM/Pt0lwDSEzcuqTHkTqknyrqzHk22CAkyfh//4PdDplTKuFZ56B/v2t1x/OUo0h545E\n8q2u2vm2ekPgkpISIiIivvcLeHl51fmiQgghHEtVFWzfDqdOmcaaNFHWw3XsaL+4hBBPJmvkhBCi\nkXvwQFkPd/26aaxdO2U9nL+//eISojGx6RFdQgghXFN2tlLEFRWZxnr0gOeeA+kwJYTjc8xuvsIp\nSQ8idUm+1eWK+T55EpYvNxVxWi2MGQOTJjlGEeeKOXdkkm91qdpHzlklJCQYzzATQgih0OmUDQ0n\nTpjGZD2cEPaRlJTUoKJO1sgJIUQj8uCBctRWdrZprG1bmD5d1sMJYU82XSN3584dfHx88PPzo6qq\nihUrVuDm5sasWbMc9qxVIYQQ5q5fV9bDPXhgGuveHZ5/3jEepQoh6s6iKmzChAmkp6cD8M477/DR\nRx/x5z//mV/+8pc2DU44F1lfoS7Jt7qcPd+nTsGyZaYiTqNR+sNNnuy4RZyz59zZSL7VpeoaucuX\nLxMbGwvAqlWrOHToEH5+fnTr1o2PP/7YKoEIIYSwPp0OduxQDr6v5uMDU6dCp072i0sIYR0WrZEL\nCAjg+vXrXL58menTp5OSkoJOp6N58+YU1dyz7kBkjZwQorErKlLWw127ZhoLDFTWw7VoYb+4hBAP\ns+kaubFjxzJt2jTu379PfHw8ABcuXKBDhw51vqAQQgjby8lR1sMVFprGYmKU9XCenvaLSwhhXRat\nkVuyZAnjx49n3rx5vP322wDcv3+fhIQEW8YmnIysr1CX5FtdzpTv06dh6VJTEafRwOjRMGWKcxVx\nzpRzVyD5Vpeqa+S8vb2ZP3++2Zj0ZhNCCMei08HOnXDsmGlM1sMJ4doeu0Zu1qxZ5h+o0QBgMBiM\nvwdYsWKFDcOrP1kjJ4RoTIqKYP16yMoyjQUGKueltmxpv7iEEJapb93y2EernTp1IiIigoiICPz9\n/fnXv/6FTqcjODgYnU7H119/jb90jxRCCLvLyYHPPzcv4qKj4bXXpIgTwtVZtGv1mWeeYeHChQwd\nOtQ4dvDgQd577z127dpl0wDrS2bk1JeUlCSP3FUk+VaXo+b7zBnYtg2qqpTXGg3ExcHgwcrvnZmj\n5txVSb7VVTvfNt21euTIEQYMGGA21r9/fw4fPlznCwohhGg4nQ527YKjR01j3t7KeriICPvFJYRQ\nl0UzcsOHD+epp57i/fffx8fHh5KSEhYtWsTRo0fZv3+/GnHWmczICSFcVXGxsh4uM9M01qaN0h9O\nHqUK4ZxsOiO3fPlyZs6cSbNmzWjRogV5eXn07duXr776qs4XFEIIUX83bij94QoKTGPdusHEieDl\nZb+4hBD2YVEfuY4dO3L48GGuXLnCli1bSE9P5/Dhw3Ts2NHW8QknIj2I1CX5Vpcj5Ds5WekPV13E\nVa+He/FF1yziHCHnjYnkW13WyrdFhVw1b29v2rRpg06nIyMjg4yMDKsEUReFhYX069cPPz8/Lly4\noPr1hRBCbdXnpW7ebNrU4O0NM2fC0KHOv6lBCFF/Fq2R27FjB6+99ho3b940/2SNBp1OZ7PgHqWq\nqor8/Hz+4z/+gzfffJPo6OhHfpyskRNCuILiYtiwAa5eNY21bq2sh2vVyn5xCSGsy+p95Gr68Y9/\nzMKFCykqKkKv1xt/qV3EAbi7uxMQEKD6dYUQQm03byr94WoWcVFRMG+eFHFCCIVFhVx+fj7z58+n\nSZMmto5HODFZX6Euybe61M73uXMPr4cbORKmTXPN9XCPIve4uiTf6lJ1jdxrr73G0qVLrXLBap98\n8gl9+/bF29ubOXPmmL2Xm5vLpEmT8PX1JSwsjNWrVz/ya2hkYYgQwsXo9cp5qRs3QmWlMublBTNm\nwLBhsh5OCGHOojVyQ4YM4dixY4SGhtK2bVvTJ2s09e4jt3nzZrRaLTt37qS0tJRly5YZ35sxYwYA\nX375JadPn2b8+PEcOnSIbt26GT9mzpw5skZOCOFSSkqU9XA195EFBCjr4WRFiRCuzaZ95ObNm8e8\nefMeedH6mjRpEgAnTpzg+vXrxvHi4mI2bdpESkoKTZo0YfDgwUycOJGVK1fy4YcfAjBu3DiSk5NJ\nS0tj/vz5vPrqq4+8xuzZswkLCwPA39+f2NhY43EY1VOa8lpey2t57Qivc3Ph2rUR5OdDZqby/tix\nI5g0CQ4ftn988lpey2vrvq7+fWbNzt71YNGMnC29++675OTkGGfkTp8+zZAhQyguLjZ+zJ/+9CeS\nkpLYsmWLxV9XZuTUl5SUZLxRhe1JvtVly3yfOwdbtpgepQKMGAHDhzfuR6lyj6tL8q2u2vm26a5V\ng8HA0qVLefrpp+nSpQsjR45k6dKlVimUas/qFRUV0axZM7MxPz8/Hjx40OBrCSGEI9HrlfNSH7Ue\nbsSIxl3ECSEsY9Gj1Q8++IAVK1bwq1/9ipCQEK5du8Yf//hHbty4wbvvvtugAGoXg76+vhQWFpqN\nFRQU4Ofn16DrCNuTn+TUJflWl7XzXVqqrIe7csU0JuvhzMk9ri7Jt7qslW+LCrkvvviCffv2ERoa\nahwbM2YMQ4cObXAhV3tGrkuXLlRVVZGenk5ERAQAycnJxMTE1PlrJyQkMGLECLk5hRAO5fZtWLMG\n8vJMY126wOTJyokNQojGIykpyWzdXF1Z9Gi1pKTkoSa8rVq1oqysrN4X1ul0lJWVUVVVhU6no7y8\nHJ1OR9OmTZk8eTK/+c1vKCkp4eDBg2zdupVZs2bV+RrVhZxQR0NuRFF3km91WSvfKSmwZIl5ETd8\nuPI4VYo4c3KPq0vyra6amyASEhLq/XUsKuTGjh3Lyy+/zMWLFyktLSU1NZVXXnmFMWPG1PvC77//\nPk2aNOH3v/89q1atwsfHh//+7/8G4NNPP6W0tJQ2bdrw8ssv89lnnxEVFVXvawkhhL3p9bBnD6xf\nb1oP5+mpPEp9+mlZDyeEqB+Ldq0WFBSwYMEC1q5dS2VlJR4eHkybNo2//vWv+Pv7qxFnnWk0GhYt\nWiSPVoUQdldaqmxoSE83jbVqpRRxrVvbLy4hhP1VP1pdvHhxvTaR1qn9iE6n4969ewQEBODm5lbn\ni6lJ2o8IIRyBrIcTQljCpu1H/vGPf5CcnIybmxuBgYG4ubmRnJzMypUr63xB4bpkfYW6JN/qqk++\nL1yAL780L+KGDZP1cJaSe1xdkm91WSvfFhVyCxcuJDg42GysQ4cOvPPOO1YJQgghXIleD3v3wrp1\nUFGhjHl6Qny8cvC9rIcTQliLRY9WW7Rowb1798wep1ZVVdGqVSsKCgpsGmB9yaNVIYQ9lJbCpk1w\n+bJprGVLZT1cmzb2i0sI4dhsetZqVFQUGzZsID4+3ji2efNmh99JKn3khBBqunNHWQ+Xm2sa69xZ\nWQ/n42O/uIR4krT0NPac3EOloRIPjQej+owiMiLS3mE1Gg3tI2fRjNzBgwcZN24co0ePJjw8nCtX\nrrBnzx62b9/OkCFD6n1xW5IZOfXJOX3qknyr6/vynZoKmzebHqUCDB2qtBbRWrSIRdQm97jtpaWn\nsfzb5ejD9KSfSqd7/+6UXy5n9tOzpZizMVXPWh0yZAjnzp2jb9++lJSU0K9fP1JSUhy2iBNCCLXo\n9ZCYCGvXmq+HmzYN4uKkiBOObc/JPZQGl3Lq5imu5l2luKIYr85e7D21196hCQvVuf3I7du3CQoK\nsmVMViEzckIIWysrU/rD1VwP16KFsitV1sMJZ/Crv/+KU16nMKB8v2zi0YSngp6ixe0W/Hz6z+0c\nXeNi0xm5vLw8Zs6ciY+Pj/H80y1btjT4nFUhhHBWd+/CF1+YF3EREfCDH0gRJxyf3qBnR/oOUu+m\nGos4TzdPugZ0RaPR4Kn1tHOEwlIWFXI//OEPadasGVlZWXh5eQEwcOBA1qxZY9PgGiohIUH64qhI\ncq0uybe6aub74kWliLt/3/T+kCEwc6ZsarAmucdto6yqjK/OfcWR60cIDw+nKr0KX09fAu4E0Myr\nGeWXy4nrHWfvMF1e9f2dlJTUoLNWLdq1unfvXm7evImHh4dxrHXr1ty5c6feF1ZDQxIjhBC1GQyQ\nlAT79pnGPDzghRcgOtpuYQlhsdzSXL469xX3Su4BEBAUwJQWU3DLd+NSwSXa3GlD3NNxstFBRdXd\nNRYvXlyvz7dojVxERAT79+8nKCiIFi1akJeXx7Vr13jmmWe4ePFivS5sa7JGTghhDWlpWezZ5wy3\ntQAAIABJREFUc4WSEi0pKXp8fTsREBAKKOvhpk+HwEA7BymEBa7mXWVdyjpKq0qNY8NDhzMibAQa\n6VJtdzbtIzdv3jymTp3Kb3/7W/R6PYcPH+btt99m/vz5db6gEEI4i7S0LJYvT0eni+P8eSgpgaqq\nvcTGQv/+oUydKo9ShXM4ceME2y9vR2/QA+CudeeFri8Q0ybGzpGJhrJojdxbb71FfHw8P/nJT6is\nrGTOnDlMnDiRn/9cdrQIE1nPoi7Jt+3t2XOFgoI4Tp6EGzeSAHB3j0OjucJLL0kRZ2tyjzec3qBn\n++XtbLu0zVjE+Xn6MSd2zkNFnORbXdbKt0UzchqNhp/97Gf87Gc/s8pFhRDC0el0cPaslrQ005hW\nC127QqdOWukPJxxeaWUp6y+sJyMvwzgW5BfE9JjpNPNqZsfIhDVZ9E9RYmIiGRnKjXDz5k1eeeUV\n5syZw61bt2waXEPJrlV1SQd2dUm+baegAJYtg+xsvXGsXbsR9O6ttBbx9NQ/4bOFtcg9Xn/3S+6z\n5NQSsyIuunU0c2LnPLaIk3yrqzrfDd21atFmh65du7Jr1y5CQkKYMWMGGo0Gb29v7t27x5YtW+p9\ncVuSzQ5CiPq4ckVp8ltSAvfuZXHmTDpt28bRtSu4u0N5+V5mz44gMjLU3qEK8UgZeRmsS1lHWVWZ\ncezpsKcZFjpMNjU4sPrWLRYVcs2aNaOwsJDKykoCAwON/eTatWvH/ZqNlByIFHLqk3MR1SX5ti69\nHvbvV1qLVP/TodVC585Z5OZeITX1LN269SAurpMUcSqRe7zujuUcY0f6DuN6OA+tBy90fYHoNt/f\nH0fyrS5rnbVq0Rq5Zs2acevWLVJSUoiOjsbPz4/y8nIqKyvrfEEhhHA0xcWwaZMyG1fNzw+mToXQ\n0FAglKQkrXyTEw5Lp9exI30Hx28cN44182rG9JjpBPk5/rGaov4smpH7/e9/z//+7/9SXl7Oxx9/\nzIwZM0hMTOS//uu/OHr0qBpx1pnMyAkhLJGdDevXQ2GhaaxjR5gyBXx97ReXEJYqrSxlXco6ruZf\nNY6192vP9Jjp+Hn52TEyURc2fbQKkJaWhpubm/Gs1UuXLlFeXk737t3rfFE1SCEnhHgSgwGOHoVd\nu5THqtWGDYMRI5BdqcIp3C2+y+rzq8ktzTWOdW/Tnecjn8fDzeMJnykcTX3rFov/qYqMjDQWcQBd\nunRx2CJO2IfsEFaX5Lv+ysuVWbgdO0xFnI+PclbqyJGPLuIk3+qTnD9Zem46S04tMSviRnYcyeSo\nyfUq4iTf6rJ5H7muXbsaj98KDg5+5MdoNBquXbtmlUBsISEhwXiGmRBCANy+DevWmR943749vPgi\n+PvbLy4hLGUwGDiac5Sd6TsxoMzgeGg9mBw1majWUXaOTtRVUlJSg4q6xz5aPXDgAEOHDjVe5HEc\ntUiSR6tCiNqSk2HbNqi5T6tfP3jmGaW1iBCOTqfX8c3lbzh185RxrLlXc2Z0n0Fb37Z2jEw0lM3X\nyDkbKeSEENWqquD//g9OnjSNeXrCc8+BrBARzqKksoR1KevIzM80jgU3CyY+Jh5fT9mZ4+ys3n5k\n4cKFj/2i1eMajYb33nuvzhcVrkl6EKlL8m2Z3FxlPdzNm6ax1q1h2jTlv5aSfKtPcm5yp/gOq8+t\nJq8szzjWM7Anz0U+h7vWOtPJkm91WSvfj/2/n52d/cQO0NWFnBBCOKqLF+Ff/4IyU4N7undXZuI8\nPe0XlxB1cen+JTZe2Ei5rhwADRriwuMYHDxYvg8LebQqhHA9ej3s3QvffWcac3ODsWOhb1+Q733C\nGRgMBg5fP8zuK7uNmxo83TyZEjWFyIBIO0cnrM3qj1YzMjIe95aZ8PDwOl9UCCFs5cED2LABsrJM\nY/7+yq7U9u3tF5cQdVGlr+KbS99w+tZp45i/tz8zYmYQ6Btox8iEo3nsjJzWgm6YGo0GnU5n9aCs\nQWbk1CfrK9Ql+X7Y1avKgfdFRaaxLl1g0iSlT1xDSL7V11hzXlxRzNqUtVwrMLX3CmkeQnx0PE09\nm9rsuo013/Zi87NW9TVbnQshhAMzGODgQUhMNB14r9EozX2HDJFHqcJ53C66zerzq8kvyzeO9Wrb\ni/FdxlttU4NwLS69Rm7RokXSEFgIF1daCps3w6VLprGmTZUD7zt2tF9cQtRV2r00NqZupEJXASib\nGkZ3Gs3ADgNlU4MLq24IvHjxYuv2kRszZgw7d+4EMDYGfuiTNRr2799f54uqQR6tCuH6btxQTmnI\nN01eEBKirIfzk7PChZMwGAx8l/0dezP2Gjc1eLl5MbXbVDq36mzn6IRarP5o9ZVXXjH+/rXXXnvs\nRYWoJusr1NWY820wwIkTylmpNZfpDh6sPE51c7P+NRtzvu2lMeS8Sl/F1rStJN9ONo618G7BjO4z\naNO0jaqxNIZ8OxKb95F76aWXjL+fPXt2gy8khBDWUFGhHLN19qxpzMtL2dDQtav94hKirooqilhz\nfg3XC68bx0KbhxIfE08TjyZ2jEw4E4vXyO3fv5/Tp09TXFwMmBoCv/322zYNsL7k0aoQrufuXeVR\n6t27prG2bZVTGlq2tF9cQtTVraJbrD63moLyAuNY73a9Gd95PG5aG0wpC4dn9UerNS1YsIB169Yx\ndOhQfBq6h18IIerh/HnYskWZkavWuzc8+yx4eNgvLiHqKvVuKptSN1GprwSUTQ1jIsbQv31/WbIk\n6syiGbkWLVqQkpJCUFCQGjFZhczIqU/WV6irseS7qgp27YJjx0xjHh4wfjzExqoXR2PJtyNxtZwb\nDAYOXDtA4tVE45i3uzdTu00lomWEHSNTuFq+HZ3N+8jVFBwcjKccTCiEUFl+vnLgfU6OaaxVK+VR\naqA0txdOpFJXyZa0LZy7c8441tKnJTO7zySgSYAdIxPOzqIZuePHj/PBBx8wc+ZMAmv96zls2DCb\nBdcQMiMnhHO7fBk2bVL6xFXr1g0mTlQ2NwjhLB6UP2DN+TXkPDD9RNLRvyPToqfh4yHLlYTCpjNy\nJ0+eZPv27Rw4cOChNXLZ2dl1vqgQQjyOXg9JSVCzRaVWC888A/37yykNwrnceHCDNefXUFheaBzr\nG9SXZyOelU0Nwiq+/0BV4J133mHbtm3cu3eP7Oxss19CVEtKSrJ3CI2KK+a7uBhWrjQv4po1gzlz\nYMAA+xZxrphvR+fsOU+5k8Ky08uMRZxWo2Vc53FM6DLBIYs4Z8+3s7FWvi2akWvatCnDhw+3ygWF\nEOJRrl1T1sM9eGAa69QJJk9WjtwSwlkYDAb2Ze0jKTPJOObt7s2L3V6kU8tO9gtMuCSL1sgtX76c\nY8eOsXDhwofWyGm1Fk3qqU7WyAnhHAwGOHwY9uxRHquCMvM2fDgMG6Y8VhXCWVTqKvnXxX+RcjfF\nONbKpxUzu8+kVZNWdoxMOLr61i0WFXKPK9Y0Gg26mufjOBCNRsOiRYsYMWKEbKcWwkGVlcHXX0Nq\nqmmsSRNlFi7C/t0YhKiTwvJC1pxfw40HN4xj4S3CebHbi7KpQTxWUlISSUlJLF682HaFXGZm5mPf\nCwsLq/NF1SAzcuqTHkTqcvZ837qlnNKQm2sa69BBOfC+eXP7xfU4zp5vZ+RMOc8pzGHN+TU8qDCt\nDejfvj9jIsag1TjHtLIz5dsVqNpHzlGLNSGEczp1CrZvV5r9VhswAEaPts2B90LY0rnb5/g67Wuq\n9MoNXb2poW9QXztHJhoDi89adTYyIyeE46msVAq406dNY56eSm+46Gj7xSVEfRgMBr7N/Jb9WaZt\n1j7uPkyLnkbHFh3tGJlwRjadkRNCiIa6f195lHr7tmmsTRvllIYAaWwvnEyFroLNqZtJvWda4BnQ\nJICZ3WfS0qelHSMTjY1zPLgXTkF6EKnLmfJ94QJ8/rl5EdezJ8yb5zxFnDPl21U4as4LygpYenqp\nWREX0TKCeb3nOXUR56j5dlWq9pETQoj60OmUtiKHD5vG3Nxg3Djo3VtOaRDO53rhddacX0NRRZFx\nbECHATzT6Rmn2dQgXItFa+QyMjJ45513OHPmDEVFpptXo9Fw7do1mwZYX7JGTgj7KixUGvzWPACm\nRQvlUWq7dvaLS4j6Onv7LFvStphtapjQZQK92/W2c2TCFdh0jdzMmTOJiIjgT3/600NnrQohRG0Z\nGbBxo3LkVrXISHjhBZB/QoSzMRgM7L26l4PXDhrHmng0YVr0NML8w+wXmBBYOCPXrFkz8vLycHOi\nvgAyI6c+6UGkLkfMt8GgnJOalKT8HpSTGeLiYNAg536U6oj5dnWOkPPyqnI2pW4i7X6acaxN0zbM\niJlBC58WdozM+hwh342Jqn3khg0bxunTp+nbV3riCCEeraQENm2C9HTTmK8vTJ0K0opSOKP8snxW\nn1vN7WLTLp0urbowJWoKXu5edoxMCBOLZuTeeOMN1q5dy+TJk83OWtVoNLz33ns2DbC+ZEZOCPVc\nv66shysoMI2FhSlFnK+v3cISot6uFVxj7fm1FFea1gcMCh7EqPBRsqlB2IRNZ+SKi4uZMGEClZWV\nXL9+HVDWDGic+TmJEKLBDAY4dgx27VJ2qFYbMgRGjpQD74VzOnPrDFvTtqIzKDe1m8aN5yKfI7Zt\nrJ0jE+JhcrKDsBpZX6Eue+e7vBy2boXz501j3t4waZKyscHV2DvfjZHaOdcb9OzJ2MOh7EPGsaYe\nTYmPiSekeYhqcdiL3OPqsvkauczMTOMZqxkZGY/9AuHh4XW+qBDCud25o5zScO+eaaxdO6W1SAvX\nWv8tGonyqnI2pm7k0v1LxrHApoHM6D4Df29/O0YmxJM9dkbOz8+PBw8eAKB9zPMRjUaDrubzFAci\nM3JC2EZyMmzbppybWq1vXxg7FtylxbhwQnmleaw+v5o7xXeMY5GtIpkcNVk2NQjV1LduccpHq2+9\n9RaHDx8mLCyMpUuX4v6I7x5SyAlhXVVVsGMHnDhhGvPwgOeegx497BeXEA2RmZ/JupR1lFSWGMeG\nhAwhrmOcrAMXqqpv3eJ0S5GTk5O5ceMG+/fvp2vXrmzYsMHeIYl/k3P61KVmvvPy4MsvzYu4gAB4\n/fXGU8TJ/a0+W+f81M1TrEheYSzi3LXuTI6azKjwUY2yiJN7XF3WyrfTFXKHDx9mzJgxAIwdO5bv\nvvvOzhEJ4drS0uDvf4ebN01jMTFKEdemjf3iEqK+9AY9O9J3sCVtC3qDHgBfT19mx86mR2Aj+clE\nuAynW9GSl5dHu38f1NisWTNyc3PtHJGoJrud1GXrfOv1kJgIB02nEuHmBmPGwFNPOfcpDfUh97f6\nbJHzsqoyNlzYQHquqXN1W9+2zIiZQXPv5la/njORe1xd1sq33WbkPvnkE/r27Yu3tzdz5swxey83\nN5dJkybh6+tLWFgYq1evNr7n7+9PYWEhAAUFBbRs2VLVuIVoDIqKYMUK8yKueXOYMwf69Wt8RZxw\nDbmluSw5tcSsiIsKiGJur7mNvogTzqvOhZxerzf7VV/t27dn4cKFzJ0796H33njjDby9vblz5w7/\n/Oc/+dGPfsSFCxcAGDRoEHv27AFg586dDBkypN4xCOuS9RXqslW+MzPhs8+U/1aLiID586FDB5tc\n0inI/a0+a+b8at5Vvjj5BfdKTD1zhoUOY1r0NDzdPK12HWcm97i6VF0jd/LkSQYOHEiTJk1wd3c3\n/vLw8Kj3hSdNmsTEiRNp1aqV2XhxcTGbNm3i/fffp0mTJgwePJiJEyeycuVKAHr27ElgYCDDhg0j\nNTWVKVOm1DsGIYSJwaDMwP3jH8qMHCgzbyNHwksvQZMm9o1PiPo6ceMEK8+upLSqFFA2NUyJmsLI\njiMb5aYG4VosWiP36quv8vzzz/Pll1/SxMr/mtfeanvp0iXc3d2JiIgwjvXs2dOscv3DH/5g0dee\nPXu2samxv78/sbGxxmfS1V9PXlv3dTVHicfVX1dr6NfbuTOJgwfBzU15nZmZhLc3/Od/jiA83HH+\nvPZ+Xc1R4pHXT349bPgwdqTvYN036wAIiw3D19OX0LxQ7qfeh38fHe4o8crrxvUaICEhgcyajz/q\nwaI+cs2aNaOgoMAmP7ksXLiQ69evs2zZMgAOHDjAtGnTuFlji9wXX3zBV199xbfffmvx15U+ckJY\n5sYN5ZSG/HzTWEiIcuB9s2b2i0uIhiitLGX9hfVk5JlOJgryC2J6zHSaecmNLRyPTfvITZo0iZ07\nd9b5i1uidtC+vr7GzQzVCgoK8PPzs8n1hfXU/ClD2F5D820wKH3hvvzSvIgbOBBefVWKuNrk/lZf\nfXN+v+Q+S04tMSvioltHMyd2jhRxTyD3uLqslW+LHq2WlpYyadIkhg4dSmBgoHFco9GwYsWKBgVQ\ne5avS5cuVFVVkZ6ebny8mpycTExMTJ2/dkJCAiNGjDBOZwohFBUV8M03ynFb1by84IUXICrKfnEJ\n0VAZeRmsS1lHWVWZcWxE2AiGhw6X9XDCISUlJTWoqLPo0WpCQsKjP1mjYdGiRfW6sE6no7KyksWL\nF5OTk8MXX3yBu7s7bm5uzJgxA41Gw5IlSzh16hQTJkzg8OHDRNXhO4w8WhXi0e7dUx6l3jEdK0lg\noHLgfa29R0I4lWM5x9iRvsPY5NdD68ELXV8guk20nSMT4vs53VmrCQkJvPfeew+N/eY3vyEvL4+5\nc+eye/duAgIC+N3vfsf06dPr9PWlkBPiYefPw5YtyoxctV69YNw45dxUIZyRTq9jR/oOjt84bhzz\n8/RjRvcZBPkF2TEyISxn80Lu22+/ZcWKFeTk5NChQwdefvllRo4cWecLqkUKOfUlJSXJY2wV1SXf\nOh3s2gVHj5rG3N1h/HilkBPfT+5v9VmS85LKEtanrOdq/lXjWHu/9kyPmY6fl6ytrgu5x9VVO982\n3eywZMkS4uPjadeuHZMnT6Zt27bMnDmTzz//vM4XVFNCQoIs3hSNXkEBLFtmXsS1bAnz5kkRJ5zb\n3eK7LDm1xKyIi2kTw+zY2VLECaeRlJT02CVslrBoRq5z585s2LCBnj17GsfOnj3L5MmTSU9Pf8Jn\n2o/MyAkB6emwcSOUlprGoqJg4kTw9rZfXEI0VHpuOutT1lOuKzeOjew4kqEhQ2VTg3BKNn202qpV\nK27evImnp6dxrLy8nKCgIO7fv1/ni6pBCjnRmOn1sG8f7N+vtBkB0Gph9GgYMEDOShXOy2AwcDTn\nKDvTd2JAubk9tB5MjppMVGvZci2cl00frQ4ePJhf/vKXFBcXA1BUVMSbb77JoEGD6nxB4brkMba6\nHpfv4mJYtUop5Kr/TfDzg9mzlR5xUsTVj9zf6qudc51ex9ZLW9mRvsNYxDX3as5rvV+TIs4K5B5X\nl6p95D777DOmT59O8+bNadmyJbm5uQwaNIjVq1dbJQhbkT5yorHJzob166FmT+3wcJgyBZo2tV9c\nQjRUSWUJ61LWkZmfaRzr0KwD02Om4+vpa7/AhGggVfrIVcvOzubGjRsEBQURHBxc74uqQR6tisbE\nYIAjR2D3buWxarVhw2DECOWxqhDO6k7xHVafW01eWZ5xrEdgD56PfB53rUXzEUI4PKuvkTMYDMYF\no/qa3xlq0Trodwgp5ERjUVYGX38NqammMR8fmDwZOne2X1xCWMOl+5fYeGGjcVODBg1x4XEMDh4s\nmxqES7H6GrlmNQ5adHd3f+QvD+kgKmqQ9RXqSkpK4tYt+Pxz8yKufXuYP1+KOGuT+1s9aelpfLLm\nE6b8Ygq/+NsvyMnOAcDTzZP4mHiGhAyRIs4G5B5Xl83XyKWkpBh/n5GR8bgPE0KoLC0tiz17rrB/\n/1mKi/WEhXUiICAUgH794JlnlGa/QjijtPQ0liYuJatlFle8ruDfwZ8zF84wxHMIPxr7IwJ9A7//\niwjRiDx2Ri4kJMT4+w0bNhAWFvbQr02bNqkSZH1JQ2B1yaYS20tLy+LLL9M5eHAkt2//nKKikZw5\nk05BQRZTpypHbUkRZxtyf6tj29FtpPqlcqvoFv5d/QFoFd2KwIpAKeJsTO5xdVXnW5WGwH5+fjx4\n8OCh8RYtWpCXl/eIz7A/WSMnXI1eD7/+dSKnT4+kstI03qQJDB+eyFtvOe6ReUJYIis/iwV/W0Bh\nO9O267a+benSqgstb7fk59N/bsfohLCt+tYtT/zZPTExEYPBgE6nIzEx0ey9K1eumK2jE0LO6bMN\ng0E5oWHXLjh7Vmss4vLzk4iMHEGXLuDl5ZibjlyJ3N+2U93kd9eVXVTpqgBlU4PPdR8iB0ei0Wjw\n1Hp+z1cRDSX3uLqsle8nFnJz585Fo9FQXl7Oa6+9ZhzXaDQEBgby17/+tcEBCCEe79YtpYCrXqaq\n1So7yL28ICQEunZVGvx6ej5+Z7kQjqxCV8HWtK2cu3MOgPDwcFLSUugxoAcF+QXK96DL5cQ9HWfn\nSIVwTBY9Wp01axYrV65UIx6rkUerwpk9eACJiXDmjOl0BoDCwizu3EmnY8c43NyUsfLyvcyeHUFk\nZKh9ghWinnJLc1l7fi23i28bx9r7tSfWO5bjKcep0FfgqfUkrncckRGRdoxUCNuz6VmrzkgKOeGM\nKirg0CH47jvM1sFpNNCnj9LcNycni717r1BRocXTU09cXCcp4oTTuXT/EptSN1FWVWYc69OuD892\nflaa/IpGySZr5KoVFBSQkJDAvn37uH//vrFBsEaj4dq1a3W+qFrkiC51yfqK+tPrITlZmYWrva+o\nc2elpUjr1srryMhQIiND/51v2eCgFrm/rcNgMLAvax9JmUnGMXetO+M6j6N3u95mHys5V5fkW13V\n+W7oEV0WFXJvvPEG2dnZ/OY3vzE+Zv3jH//IlClT6n1hNTRkO68QarlyRVkHd/u2+XhgIIwZo5yV\nKoQrKK0sZfPFzVy6f8k41tyrOfEx8QT5BdkxMiHsp3rCafHixfX6fIserbZu3ZrU1FQCAgJo3rw5\nBQUF5OTk8Nxzz3Hq1Kl6XdjW5NGqcHR37ihno16+bD7u5wcjR0LPnnJGqnAdt4tuszZlLbmlucax\n8BbhTImaQlPPpnaMTAjHYNNHqwaDgebNmwNKT7n8/HzatWvH5drfgYQQ36uoCJKS4ORJ840MHh4w\neDAMGgSe0mlBuJBzt8+xJW0LlXrTws/BwYOJC49Dq5GfVoRoCIv+BvXo0YP9+/cDMGTIEN544w1+\n+MMfEhkpu4iEiZyi8WSVlXDgAPzlL3DihKmI02igVy/46U+VzQyWFnGSb3VJvutOp9exI30HG1M3\nGos4TzdPpkVPY3Sn0d9bxEnO1SX5VpfNz1qt6YsvvjD+/v/9v//H22+/TUFBAStWrLBKEEK4MoMB\nzp6FvXuhsND8vfBwZSND27b2iU0IWymqKGJ9ynqyCrKMYwFNAoiPjqd109Z2jEwI12LRGrmjR4/S\nv3//h8aPHTtGv379bBJYQ8kaOeEIMjOVjQw3bpiPt26tFHAREcqMnBCuJLsgm3Up63hQYdqCHRUQ\nxQtdX8DL3cuOkQnhuGy6Rm7UqFGPPGt17Nix5ObmPuIzHIO0HxH2cv++spHh4kXz8aZN4emnoXdv\n2cggXI/BYODEjRPsSN+BzqADlKO24sLjGBw8GI381CLEQxrafuSJM3J6vR6DwYC/vz8FBQVm7125\ncoXBgwdz586del/clmRGTn3SgwhKSmDfPjh+XOkNV83dHQYOhCFDlOO1rEHyrS7J95NV6irZdmkb\nybeTjWM+7j5M7TaVTi071etrSs7VJflWV+1822RGzt3d/ZG/B9Bqtbzzzjt1vqAQrqiqCo4eVTYz\nlJWZv9ezp9JO5N8bv4VwOXmleaxLWcfNopvGsXa+7YiPicff29+OkQnh+p44I5eZmQnAsGHDOHDg\ngLFS1Gg0tG7dmiZNmqgSZH3IjJxQg8EAKSmwZw/k55u/FxamrIMLkj6nwoVdyb3ChgsbKK0qNY7F\nto1lfOfxeLh52DEyIZyLnLVaixRywtays2HnTrh+3Xy8VSsYPRoiI2Ujg3BdBoOBg9cOkng1EQPK\nv7VuGjee7fwsfdr1kfVwQtSRTTc7zJo165EXBKQFiTBqLOsrcnOVGbgLF8zHmzRR+sD16QNubraP\no7Hk21FIvk3Kq8rZfHEzF++ZdvP4efoRHxNPh2YdrHYdybm6JN/qsla+LSrkOnXqZFYp3rp1i40b\nN/LSSy81OAAhnEVpKezfD8eOgU5nGndzgwEDYOhQ8Pa2X3xCqOFu8V3WnF/D/dL7xrHQ5qG8GP0i\nvp6+doxMiMap3o9WT5w4QUJCAtu2bbN2TFYhj1aFteh0yi7UffuUYq6mmBiIi4MWLewTmxBqSrmT\nwtdpX1OhqzCODewwkFHho3DTqjANLYQLU32NXFVVFS1atHhkfzlHIIWcaCiDQekDt3u38ji1puBg\nGDMGOljvKZIQDktv0LMnYw+Hsg8Zxzy0Hjwf+TzdA7vbMTIhXIdN18jt3bvXbOFqcXExa9asITo6\nus4XFK7LldZX5OQoJzJkZZmPt2ihbGSIirL/RgZXyrczaKz5Lq4oZsOFDVzNv2oca+nTkvjoeAJ9\nA2167caac3uRfKtL1TVyr732mlkh17RpU2JjY1m9enWDA7AlOdlB1FV+vnIm6rlz5uPe3jB8ODz1\nlNLcV4jGIKcwh3Up6ygoNzWE79KqC5OjJuPtLgtChbAGm57s4Mzk0aqoi7IyOHgQjhxRmvtW02qh\nXz8YNkzZlSpEY3Hyxkm2X95udtTWiLARDAsdJq1FhLABmz5aBcjPz+ebb77hxo0bBAUFMW7cOFrI\nCm/h5PR6OHkSkpKguNj8vagoGDVK6QsnRGNRpa9i++XtnLp5yjjm7e7NlKgpdG7V2Y6RCSEexaJj\nuxMTEwkLC+Mvf/kLx48f5y9/+QthYWHs2bPH1vEJJ9KQqWG1GQxw6RJ8+il88415EddFOKFoAAAg\nAElEQVS+PcyZA/Hxjl3EOVO+XUFjyHdBWQHLTi8zK+ICmwbygz4/sEsR1xhy7kgk3+qyVr4tmpF7\n4403+Pzzz5k2bZpxbP369fzkJz/h4sWLT/hMIRzPzZvKRoarV83HmzdXZuBiYuy/kUEItV3Nu8r6\nC+spqSwxjvUI7MFzXZ6To7aEcGAWrZHz9/fn/v37uNVoV19ZWUnr1q3Jr33ApIOQNXKitsJCSEyE\n5GRlRq6al5fSzHfAANnIIBofg8HA4euH2X1lt/GoLa1Gy5hOY+jXvp+shxNCJTY/ouuTTz7hZz/7\nmXHsb3/72yOP7hLC0VRUwHffwaFDUFlpGtdqleO0RoyApk3tFp4QdlNeVc6WtC2k3E0xjvl6+jIt\nehohzUPsGJkQwlIWzcgNHjyYY8eO0aZNG9q3b09OTg537tyhf//+xp/WNBoN+/fvt3nAlpIZOfU5\nWg8ivR7OnFFm4YqKzN+LjFQeo7ZubZ/YrMHR8u3qXC3f90rusfb8Wu6W3DWOBTcLZlr0NPy8/OwY\nmYmr5dzRSb7VVTvfNp2Re/3113n99def+DEy/S4cSXq6sg7uzh3z8bZtlRMZOna0T1xCOIKL9y6y\nOXUz5bpy41i/9v0Y02mMHLUlhJORPnLCpdy5oxRw6enm482awciR0LOnbGQQjZfeoOfbq99y4NoB\n45i71p3nujxHz7Y97RiZEMLmfeT279/P6dOnKf53nwaDwYBGo+Htt9+u80WFsLaiIvj2Wzh1ynwj\ng6cnDB4MgwaBh2y8E41YSWUJGy9s5EreFeOYv7c/8dHxtPNrZ8fIhBANYVEfuQULFvDiiy9y4MAB\nUlNTSU1N5eLFi6Smpto6PuFE7NGDqLIS9u+Hv/xFaexbXcRpNMpGhgULlKO1XLGIk55P6nLmfN98\ncJPPT35uVsRFtIxgfp/5Dl3EOXPOnZHkW12q9pFbtWoVKSkpBAUFWeWiQjSUwaC0EUlMVNqK1BQR\noRxsH2jb87yFcApnbp1h26VtVOlNZ88NCx3GiLARaDUW/SwvhHBgFq2R69GjB4mJiQQEBKgRk1Vo\nNBoWLVrEiBEjZBeOi7l6VVkHd/Om+XibNvDMM0ohJ0Rjp9Pr2JG+g+M3jhvHvNy8mBQ1ia4BXe0Y\nmRCipqSkJJKSkli8eHG91shZVMgdP36cDz74gJkzZxJYa5pj2LBhdb6oGmSzg+u5dw9274a0NPNx\nX194+mno1UvpDSdEY1dYXsj6lPVkF2Ybx1o3ac30mOm0auLA584J0YjZdLPDyZMn2b59OwcOHMDH\nx8fsvezs7Md8lmhsbNWDqLhYOdT+5EmlN1w1Dw9lE8OgQcrpDI2N9HxSl7PkOys/i/UX1lNUYWqe\nGN06moldJ+Lp5mnHyOrOWXLuKiTf6rJWvi0q5N555x22bdvG6NGjG3xBISxVVQVHjsCBA1BuaneF\nRqO0ERk5UmkrIoRQOgkczTnKriu70BuUn3i0Gi2jwkcxsMNA6fUphIuy6NFqSEgI6enpeHo6z09z\n8mjVeRkMcP487N0LtY/y7dhRWQfXznE32gmhugpdBVvTtnLuzjnjWFOPpkztNpWOLaT7tRDOoL51\ni0WF3PLlyzl27BgLFy58aI2c1kEXJUkh55yuXYOdOyEnx3w8IEAp4Dp3loa+QtSUW5rL2vNruV18\n2zjW3q8906Kn0dy7uR0jE0LUhU0LuccVaxqNBp1OV+eLqkEKOfU15Hl/bq6ykaF2a8ImTZSNDL17\ng5ucHGRG1rOoyxHzfen+JTalbqKsqsw41qddH57t/CzuWov7vTssR8y5K5N8q0vVs1YzMjLq/IWF\nsERpKezbB8ePQ82fCdzdYcAAGDIEvL3tF58QjshgMLAvax9JmUnGMXetO+M6j6N3u972C0wIobo6\nnbWq1+u5ffs2gYGBDvtItZrMyDk2nQ6OHVNOZSgtNX+ve3eIiwN/f/vEJoQjK60sZfPFzVy6f8k4\n1tyrOfEx8QT5SdN2IZyVTWfkCgsL+clPfsKaNWuoqqrC3d2d6dOn89e//pXmzWUNhrCcwaA8Pt2z\nR3mcWlNICIwZA+3b2yc2IRzd7aLbrE1ZS26p6S9PeItwpkRNoalnUztGJoSwF4vPWi0uLub8+fOU\nlJQY/7tgwQJbxyecyPedG3f9OixbBuvWmRdxLVtCfDzMmSNFXF3IuYjqsne+z90+x5JTS8yKuMHB\ng3m5x8suW8TZO+eNjeRbXaqetbpjxw4yMjJo2lT5x6JLly4sX76c8PBwqwQhXFt+vjIDd/68+biP\nj3Kg/VNPyUYGIR5Hp9exO2M3R64fMY55unnyQtcX6Na6mx0jE0I4AovWyIWFhZGUlERYWJhxLDMz\nk2HDhnHt2jVbxldvskbO/srKlGa+R46Yb2Rwc4N+/WDYMKWYE0I8WlFFEetT1pNVkGUca+XTiukx\n02ndtLUdIxNCWJtN18jNmzeP0aNH86tf/YrQ0FAyMzP585//zOuvv17nCwrXp9Mpx2klJUFJifl7\n3brBqFHK41QhxONlF2SzLmUdDyoeGMeiAqJ4oesLeLk3wjPphBCPZNGMnF6vZ/ny5fzzn//k5s2b\nBAUFMWPGDObOneuwx77IjJz6vv02iaCgEezerRxwX1OHDkpD35AQ+8TmiqTnk7rUyrfBYODEjRPs\nSN+BzqBMZWvQEBcex+DgwQ77b64tyD2uLsm3ulTtI6fVapk7dy5z586t8wWsrbCwkFGjRpGamsrR\no0fp1k3WiNhbWloWGzdeYe/es3h56QkP70RAQCigtBAZNQqio+VEBiG+T6Wukm2XtpF8O9k45uPu\nw9RuU+nUspMdIxNCOCqLZuQWLFjAjBkzGDRokHHs0KFDrFu3jo8//timAdZWVVVFfn4+//Ef/8Gb\nb75JdHT0Iz9OZuTUceJEFh98kE5ubpxxrKpqL/37RzB5cij9+yvNfYUQT5ZXmse6lHXcLLppHGvn\n2474mHj8vaWpohCurr51i0XtR1avXk2fPn3Mxnr37s0///nPOl+wodzd3QkICFD9uuLRdu68YlbE\naTQQGhpHcPAVBg+WIk4IS1zJvcLnJz83K+Ji28Yyt9dcKeKEEE9kUSGn1WrR6/VmY3q9Xma8BE2b\nagkMVH5vMCTx1FPKwfYW3lqiAaTnk7pskW+DwcCBrAOsOruK0irliBM3jRsTukxgYuREPNw8rH5N\nZyL3uLok3+qyVr4t+m47ZMgQ3n33XWMxp9PpWLRoEUOHDq3TxT755BP69u2Lt7c3c+bMMXsvNzeX\nSZMm4evrS1hYGKtXrza+9+c//5mnn36ajz76yOxzGtOiX0fl4aEnPBxiY6FjR+WQewBPT/2TP1GI\nRq68qpy1KWvZe3UvBpQfiv08/ZjTaw59g/rKv29CCItYtEYuOzubCRMmcPPmTUJDQ7l27Rrt2rVj\n69atBAcHW3yxzZs3o9Vq2blzJ6WlpSxbtsz43owZMwD48ssvOX36NOPHj+fQoUOP3cwwZ84cWSPn\nANLSsli+PB0vL9Pj1fLyvcyeHUFkZKgdIxPCcd0tvsua82u4X3rfOBbaPJQXo1/E19PXjpEJIeyl\nvnWLRYUcKLNwx44dIzs7m+DgYPr3749WW7/HZwsXLuT69evGQq64uJiWLVuSkpJCREQEAK+++ipB\nQUF8+OGHD33+uHHjSE5OJjQ0lPnz5/Pqq68+/AeTQk41aWlZ7N17hYoKLZ6eeuLiOkkRJ8RjpNxJ\n4eu0r6nQVRjHBnYYyKjwUbhp5YgTIRorm7YfAXBzc2PgwIEMHDiwzheprXagly5dwt3d3VjEAfTs\n2fOxz4+3b99u0XVmz55tPI3C39+f2NhYY8+W6q8trxv+OjIylJs3r3LmzBl+/OOf2z2exvL6zJkz\n/Pznkm+1Xjc033qDnqqQKg5lHyLzTCYAnXt35vnI57mfep8D1w841J/XEV5XjzlKPK7+unrMUeJx\n9ddnzpwhPz+fzMxMGsLiGTlrqj0jd+DAAaZNm8bNm6YdW1988QVfffUV3377bb2uITNy6ktKSjLe\nqML2JN/qaki+iyuK2XBhA1fzrxrHWvq0JD46nkDfQCtF6HrkHleX5FtdtfNt8xk5a6odqK+vL4WF\nhWZjBQUF+Pn5qRmWaCD5B0Bdkm911TffOYU5rEtZR0F5gXGsS6suTI6ajLe7t5Wic01yj6tL8q0u\na+Vb+30fYDAYyMjIoKqqyioXhId3m3bp0oWqqirS09ONY8nJycTExDToOgkJCWZTxkIIoaaTN06y\n9PRSYxGnQcPTYU8zI2aGFHFCCECZmUtISKj3539vIQcQExNT740NNel0OsrKyqiqqkKn01FeXo5O\np6Np06ZMnjyZ3/zmN5SUlHDw4EG2bt3KrFmzGnS9hIQE+QlDRVI0q0vyra665LtKX8WWtC1svbTV\neF6qt7s3M7vPZHjYcGktYiG5x9Ul+VZXzbVzNi3kNBoNvXr1Ii0trd4Xqfb+++/TpEkTfv/737Nq\n1Sp8fHz47//+bwA+/fRTSktLadOmDS+//DKfffYZUVFRDb6mEEKoqaCsgGWnl3Hq5injWGDTQH7Q\n5wd0btXZjpEJIVyRRZsd3n33XVatWsXs2bMJDg42LsjTaDTMnTtXjTjrTDY7CCHUdjXvKusvrKek\nssQ41r1Nd56PfL7Rn9IghHgym252OHjwIGFhYezbt++h9xy1kAPTo1V5vCqEsCWDwcDh64fZfWW3\n8ZQGrUbLmE5j6Ne+nzxKFUI8VlJSUoMea9ul/YgaZEZOfbJ1XV2Sb3U9Lt/lVeVsSdtCyt0U45iv\npy8vdnuRUH9pjN0Qco+rS/KtLtXbj9y/f59vvvmGW7du8Z//+Z/k5ORgMBjo0KFDnS8qhBCu4F7J\nPdaeX8vdkrvGseBmwUyLnoafl7RPEkLYnkUzcvv27WPKlCn07duX7777jgcPHpCUlMRHH33E1q1b\n1YizzmRGTghhSxfvXWRz6mbKdeXGsX7t+zGm0xg5aksIUWc2PWs1NjaW//mf/2HUqFG0aNGCvLw8\nysrKCAkJ4c6dO/UK2NakkBNC2ILeoOfbq99y4NoB45i71p3nujxHz7Y97RiZEMKZ1bdusag5XFZW\nFqNGjTIb8/DwQKfT1fmCapKGwOqSXKtL8q2upKQkSipL+OfZf5oVcf7e/rzW6zUp4mxA7nF1Sb7V\nVZ3vhjYEtmiNXFRUFDt27GDs2LHGsb1799K9e/d6X1gNDUmMEEIApKWnsefkHo6fPs4nRz6hbUhb\nAoICAIhoGcHkqMk08Whi5yiFEM6qurvG4sWL6/X5Fj1aPXLkCBMmTGDcuHGsX7+eWbNmsXXrVr7+\n+mv69etXrwvbmjxaFUI0VFp6Gsu/XU5euzwu3b+E3qCnKr2K2G6xTB44mRFhI9BqGn7qjRBC2HTX\n6oABA0hOTmbVqlX4+voSEhLC8eP/v717j4qyzv8A/p4ZriN3ULkIoiG3SPACLmiGmhpHXZXK209d\npdKT1u66+2vbPZXiUqfjbln7y25rWpmJl7LctNJSx7ygaCGVXBRNQCUQQRhAh2Hm+f3BMjmiCcPw\nfZiZ9+sczmm+z8w8H95nGj88z/f7PMe5YpWI7NqeE3tQ6leKS9WXTGOug1zhd90PYweMlbEyIqJW\nHf5TMiQkBE899RQyMzPx9NNPs4mjdji/Qizm3b20Oi0OlR/CJW1rE3e16CrUzmoMCx4GP7WfzNU5\nBn7GxWLeYlkr7w41crW1tZg3bx7c3d0RGBgINzc3zJ07FzU1NVYportwsQMRWaKsrgxvf/s2tDqt\naczb1RvDgoZB7ayGi9JFxuqIyJ50dbFDh+bITZs2DU5OTsjKykJYWBjKysqwfPlyNDc3Y8eOHRbv\nvDtxjhwRdZYkSTh+6Ti+LPkSRsmI6kvVyC/IR2RiJPp59YNCoYDujA4LxixAVESU3OUSkR3p1uvI\neXt7o6KiAmr1LyuzmpqaEBQUhLq6uk7vVAQ2ckTUGXqDHjtP70R+Zb5pTO2sxlD3oThdchrNxma4\nKF0wbug4NnFEZHXdeh256OhonD9/3mystLQU0dHRnd4h2S+exhaLeVtP7bVarMtbZ9bEBXsGY/Gw\nxbh/6P1YMmMJEgITsGTGEjZxAvEzLhbzFstaeXdo1erYsWMxYcIEzJ8/H6GhoSgrK8PGjRsxb948\nrF+/HpIkQaFQICMjwypFERGJUlJTgo8LPsa1lmumsSGBQzApchKclB2+HTURkSw6dGo1NTW19ckK\nhWmsrXm70f79+61bXRcoFAqsWLHCdKE9IqIbSZKEQ2WHsO+nfZDQ+jWoUqiQNigNw4KGtft+IyLq\nDhqNBhqNBitXruy+OXK2iHPkiOh2dC06fFr0KQqrC01jni6emBk3E/28eGklIhKvW+fIEXUE51eI\nxbwtc7nxMtZ+t9asievv3R+Lhy/+1SaOeYvHzMVi3mIJnSNHRGQPCi8X4pOiT9BsaDaN/abfbzB+\n4HiolCoZKyMisgxPrRKR3TNKRuz7aR8OlR0yjTkrnTElagoG9x0sY2VERK269V6rRES2qknfhI8L\nPsbZ2rOmMV83X8yMm4lAj0AZKyMi6roOz5ErLCzE3//+dyxduhQAUFRUhO+//77bCiPbw/kVYjHv\nO6vQVuDf3/7brImL8IvAomGLOt3EMW/xmLlYzFssofda3bZtG0aPHo2LFy9iw4YNAACtVos//elP\nVimCiMja8n/Ox7q8dbh6/app7L7+92HOPXPg7uwuY2VERNbToTly0dHR2Lx5MxISEuDr64va2lro\n9XoEBQWhurpaRJ2dxuvIETkmg9GA3Wd3I/dirmnMVeWK9Jh0RAXwrgxE1LMIuY6cv78/Ll++DKVS\nadbIhYSEoKqqyqLCuxsXOxA5Hq1Oi62ntqK8vtw01lvdGzPjZiJAHSBjZUREv65bryM3dOhQfPDB\nB2ZjW7ZsQVJSUqd3SPaL8yvEYt7myurK8Pa3b5s1cbG9Y/Ho0Eet0sQxb/GYuVjMWyyh15F77bXX\nMH78eKxbtw5NTU2YMGECTp8+jT179lilCCIiS0mShOOXjuPLki9hlIwAAAUUuH/g/UgJTeGttojI\nrnX4OnKNjY3YuXMnSktLERYWhkmTJsHT07O767MYT60S2T+9QY+dp3civzLfNKZ2VuOh2Icw0Heg\njJUREXWOpX0LLwhMRDbp6vWr2PLjFlQ0VJjGgj2DMePuGfBx85GxMiKizuvWOXKlpaXIyMjAkCFD\nMGjQINNPZGRkp3dI9ovzK8Ry5LzP1pzF2yfeNmvihgQOQcaQjG5r4hw5b7kwc7GYt1hC58g9/PDD\niImJQVZWFtzc3KyyYyKizpIkCYfLD2Pvub2Q0PqXq0qhQtqgNAwLGsb5cETkcDp0atXb2xs1NTVQ\nqWznptI8tUpkX3QtOnxa9CkKqwtNY54unphx9wyEeofKWBkRUdd166nVyZMn48CBA51+c7llZmby\nUDGRHahuqsba79aaNXH9vftj8fDFbOKIyKZpNBpkZmZa/PoOHZGrrq5GcnIyIiMj0adPn19erFBg\n/fr1Fu+8O/GInHgajYZ30RDIUfIuvFyIT4s+hc6gM42NCBmBCXdNgEop7iyBo+TdkzBzsZi3WDfn\nbWnf0qE5chkZGXBxcUFMTAzc3NxMO+N8FCLqLkbJiP0/7cfBsoOmMWelM6ZETcHgvoNlrIyIqOfo\n0BE5T09PXLx4EV5eXiJqsgoekSOyXU36Jnxc8DHO1p41jfm6+WJm3EwEegTKWBkRUffo1iNygwcP\nxpUrV2yqkSMi21ShrcCWU1tw9fpV01iEXwQejHkQ7s7uMlZGRNTzdGixw9ixYzFx4kS8+OKLWL9+\nPdavX49169b12PlxJA8uLBHLHvPO/zkf6/LWmTVxo/uPxpx75sjexNlj3j0dMxeLeYsl9DpyBw8e\nRHBw8C3vrZqRkWGVQojIcRmMBuw+uxu5F3NNY64qV0yPmY7ogGgZKyMi6tl4iy4ikpVWp8W2gm0o\nqyszjfVW98bMuJkIUAfIWBkRkThWnyN346pUo9F42zdQKjt0dpaIqJ3yunJsPbUV2mataSy2dyym\nRk2Fq5OrjJUREdmG23ZhNy5scHJyuuWPs7OzkCLJNnB+hVi2nLckSTh+8TjeO/meqYlTQIHxA8fj\n4diHe2QTZ8t52ypmLhbzFqvb58idOnXK9N/nzp2zys6IiPQGPXad2YWTP580jamd1Xgo9iEM9B0o\nY2VERLanQ3PkXnrpJfzv//5vu/HVq1fjT3/6U7cU1lWcI0fU81y9fhVbftyCioYK01iQRxBmxs2E\nj5uPjJUREcnL0r6lwxcE1mq17cZ9fX1RW1vb6Z2KwEaOqGc5W3MWHxd+jCZ9k2ksITABkwZNgrOK\n0zSIyLF1ywWB9+3bB0mSYDAYsG/fPrNtZ8+e7fEXCM7MzERqairvHScI79Mnlq3kLUkSDpcfxt5z\neyGh9UtKpVDhgYgHMDx4uM3c6s9W8rYnzFws5i1WW94ajaZL8+V+tZHLyMiAQqGATqfDI488YhpX\nKBTo27cvXnvtNYt3LEJmZqbcJRA5NF2LDjuKd6DgcoFpzNPFEzPunoFQ71AZKyMi6hnaDjitXLnS\notd36NTqvHnz8MEHH1i0A7nw1CqRvKqbqrHlxy243HTZNBbmHYYZd8+Ah4uHjJUREfU83TpHzhax\nkSOST1F1ET4p/AQ6g840NiJkBCbcNQEqpUrGyoiIeiZL+xZezZeshtcgEqsn5m2UjNh7bi82/7jZ\n1MQ5K52RHpOOtEFpNt3E9cS87R0zF4t5iyX0XqtERHdyTX8NHxd+jJKaEtOYj5sPZsXNQqBHoIyV\nERHZL55aJaIu+7nhZ2z5cQtqr/9yOaIIvwg8GPMg3J3dZayMiMg2dMvlR4iI7uT7yu/xWfFn0Bv1\nprHR/UcjNTwVSgVnbxARdSd+y5LVcH6FWHLnbTAa8MWZL7C9cLupiXNVuWLm3TMxdsBYu2vi5M7b\nETFzsZi3WJwjR0SyaWhuwNZTW1FWV2YaC1AHYFbcLASoA2SsjIjIsXCOHBF1SnldObae2gpt8y+3\n7YsJiMG06GlwdXKVsTIiItvFOXJE1K0kScKJSyfwZcmXMEgGAIACCowbOA4jQ0fazK22iIjsiX1N\nYiFZcX6FWCLz1hv02FG8A7vO7DI1ce5O7pg7eC5GhY1yiCaOn2/xmLlYzFsszpEjIiGuXr+KLT9u\nQUVDhWksyCMIM+NmwsfNR8bKiIiIc+SI6LbO1Z7DRwUfoUnfZBqL7xuPyZGT4axylrEyIiL7wjly\nRGQ1kiThSPkRfH3ua0ho/WJRKpRIi0jD8ODhDnEqlYjIFtjcHLnc3FykpKTgvvvuw5w5c9DS0iJ3\nSfRfnF8hVnflrWvRYVvBNnx17itTE+fp4omFCQuRGJLosE0cP9/iMXOxmLdY1srb5hq5sLAw7N+/\nHwcOHEB4eDh27Nghd0lEdqO6qRrvfPcOCi4XmMbCvMOwaNgihHqHylgZERHdik3PkVuxYgWGDBmC\nadOmtdvGOXJEnVNUXYRPCj+BzqAzjSWFJGHiXROhUqpkrIyIyP5Z2rfYbCNXWlqK2bNn4+DBg1Cp\n2v8jw0aOqGOMkhGa8xp8U/qNacxJ6YQpkVMQHxgvY2VERI7D0r5F6KnVNWvWYPjw4XBzc8PChQvN\nttXU1GD69Onw8PBAeHg4srOzTdteeeUVjBkzBi+//DIAoL6+HvPnz8f7779/yyaO5MH5FWJZI+9r\n+mvY9MMms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+ "text": [
+ ""
+ ]
+ }
+ ],
+ "prompt_number": 67
+ },
{
"cell_type": "code",
"collapsed": false,