diff --git a/benchmarks/timeit_tests.ipynb b/benchmarks/timeit_tests.ipynb index 40434a8..1222ca9 100644 --- a/benchmarks/timeit_tests.ipynb +++ b/benchmarks/timeit_tests.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:a6e11ece22a848e8c3b728870bda775773780d2fa909fb330ad64e4febec9f2a" + "signature": "sha256:7773fd07ffe611312feea432cbf6765914b236c0cdfbbb7c8de867f61a8b97ce" }, "nbformat": 3, "nbformat_minor": 0, @@ -25,7 +25,7 @@ "source": [ "
\n", "I am really looking forward to your comments and suggestions to improve and extend this collection! Just send me a quick note \n", - "via Twitter: [@rasbt](https://twitter.com/rasbt) \n", + "via Twitter: [@rasbt](https://twitter.com/rasbt) \n", "or Email: [bluewoodtree@gmail.com](mailto:bluewoodtree@gmail.com)\n", "
" ] @@ -2616,13 +2616,13 @@ "cell_type": "code", "collapsed": false, "input": [ - "import numpy as np\n", + "from numpy import sum as np_sum\n", "import timeit\n", "\n", "samples = list(range(1000000))\n", "\n", "%timeit(sum(samples))\n", - "%timeit(np.sum(samples))" + "%timeit(np_sum(samples))" ], "language": "python", "metadata": {}, @@ -2631,8 +2631,8 @@ "output_type": "stream", "stream": "stdout", "text": [ - "10 loops, best of 3: 85.8 ms per loop\n", - "10 loops, best of 3: 85.6 ms per loop" + "10 loops, best of 3: 18.2 ms per loop\n", + "10 loops, best of 3: 138 ms per loop" ] }, { @@ -2643,7 +2643,89 @@ ] } ], - "prompt_number": 155 + "prompt_number": 20 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "funcs = ['sum', 'np_sum']\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", + " samples = list(range(n))\n", + " times_n['sum'].append(min(timeit.Timer('sum(samples)', \n", + " 'from __main__ import samples')\n", + " .repeat(repeat=3, number=1000)))\n", + " times_n['np_sum'].append(min(timeit.Timer('np_sum(samples)', \n", + " 'from __main__ import np_sum, samples')\n", + " .repeat(repeat=3, number=1000)))" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 26 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "%pylab inline" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 24 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import matplotlib.pyplot as plt\n", + "\n", + "labels = [('sum', 'in-built sum() function'), \n", + " ('np_sum', 'numpy.sum() function')]\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]], \n", + " 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.legend(loc=2)\n", + "plt.grid()\n", + "plt.xscale('log')\n", + "plt.yscale('log')\n", + "plt.title('Performance of explicit for-loops vs. list comprehensions')\n", + "\n", + "max_perf = max( n/i for i,n in zip(times_n['sum'],\n", + " times_n['np_sum']) )\n", + "min_perf = min( n/i for i,n in zip(times_n['sum'],\n", + " times_n['np_sum']) )\n", + "\n", + "ftext = 'the in-built sum() is {:.2f}x to '\\\n", + " '{:.2f}x faster than the numpy.sum()'\\\n", + " .format(min_perf, max_perf)\n", + "plt.figtext(.14,.75, ftext, fontsize=11, ha='left')\n", + "\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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mQkdHh5f3beNpCBPmy859eeXb086dO2s9D6hi2bLqKk/9y+fx8vLC/fv3cfr0aYSHh2PM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\n47fPC+lY0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+ "text": [ + "" + ] + } + ], + "prompt_number": 27 }, { "cell_type": "markdown", @@ -2672,11 +2754,22 @@ "cell_type": "code", "collapsed": false, "input": [ - "%timeit(list(range(1000000)))\n", - "%timeit(np.arange(1000000))\n", + "from numpy import arange as np_arange\n", "\n", - "# note that in Python range() is implemented as xrange()\n", - "# with lazy evaluation (generator)" + "n = 1000000\n", + "\n", + "def loop_range(n):\n", + " for i in range(n):\n", + " pass\n", + " return\n", + "\n", + "def loop_arange(n):\n", + " for i in np_arange(n):\n", + " pass\n", + " return\n", + "\n", + "%timeit(loop_range(n))\n", + "%timeit(loop_arange(n))" ], "language": "python", "metadata": {}, @@ -2685,8 +2778,8 @@ "output_type": "stream", "stream": "stdout", "text": [ - "10 loops, best of 3: 38.3 ms per loop\n", - "100 loops, best of 3: 2.28 ms per loop" + "10 loops, best of 3: 50.9 ms per loop\n", + "10 loops, best of 3: 183 ms per loop" ] }, { @@ -2697,7 +2790,75 @@ ] } ], - "prompt_number": 156 + "prompt_number": 36 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "funcs = ['loop_range', 'loop_arange']\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": 38 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import matplotlib.pyplot as plt\n", + "\n", + "labels = [('loop_range', 'in-built range()'), \n", + " ('loop_arange', 'numpy.arange()')]\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]], \n", + " 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.legend(loc=2)\n", + "plt.grid()\n", + "plt.xscale('log')\n", + "plt.yscale('log')\n", + "plt.title('Performance of explicit for-loops vs. list comprehensions')\n", + "\n", + "max_perf = max( a/r for r,a in zip(times_n['loop_range'],\n", + " times_n['loop_arange']) )\n", + "min_perf = min( a/r for r,a in zip(times_n['loop_range'],\n", + " times_n['loop_arange']) )\n", + "\n", + "ftext = 'the in-built range() is {:.2f}x to '\\\n", + " '{:.2f}x faster than numpy.arange()'\\\n", + " .format(min_perf, max_perf)\n", + "plt.figtext(.14,.75, ftext, fontsize=11, ha='left')\n", + "\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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zz6usI2nY6L5kRBrUXsjHRiN2Fbx7J36XFBfXfleVlIjftrBQ+jQZY5Uuh1ZW\nVkZ4eDjs7OzQtm1bjB8/HqdPn5Yovf/973/o3bs3rK2t8fvvv0NXVxdr1qyRulxV0dbWhpycHNTV\n1aGnpwc9PT0IBFXXW05ODtu3b4eDgwPs7e0hEAgwcOBADBkyBJaWlrC1tcXvv/8OxhiOHz8usq2/\nvz+Cg4NhZmaGiRMnwsbGht8PDx48wOHDh7F27Vp06dIFdnZ2WL9+vcip7dzcXCxevBjr16/HgAED\nYGJigl69emH+/PlYuXIlHy8+Ph7GxsZiy29iYoL4+PgP2WWEEEJIrTXqEbuqHilWHQWFErHhcnLi\nwyUhEIjfVlGx9mmWZ2NjIzIXTV9fH6mpqfyyuro6P6LWuXNnHDlyhF/Xrl07/r2cnBw8PDwQGxsr\nk3LVhq2tLVRVVUXCkpKSMHv2bFy6dAlpaWkoKSlBbm5upVO6zs7OIssGBgb8Kem7d+8CANq2bcuv\nl5eXh5ubG7KzswEAsbGxyMvLg5+fn8gIZHFxMQoKCvDq1Svo6OggKyuryrmOmpqayMjIqGXtSUNA\noy9EGtReSE1k/UixRt+xk5avrznCw8/Ay+v9qdOCgjMICrKAtXXtyhEXV5qmkpJomj4+FrVLsIKK\nFxhUvMnhv//+y79XUVGpNi3GGN+pKRtZK59WcXExSkpk0yEVp2KnDgD69u0LPT09rFmzBi1btoSC\nggI6duyIwsJCkXiKioqVtq1Y1oqnjMvXrSzu3r17YWVlVSktbW1tAICWlhbevn0rtvyZmZl8PEII\nIaQmZQNQsrp7BJ2KrcDa2gRBQRbQ0zsLLS0h9PTO/n+nrvZXxdZFmuXVdNVpq1at+Je+vr7IuosX\nL/Lvi4qKcOXKFdjZ2QF4f7Vr2b3aAODmzZtS3xlbUVFR5OIDabx69Qr37t3D9OnT0a1bN9jY2EBJ\nSUmii0PK75eyOpW/krWoqAjXrl3jl+3t7aGsrIzExESRfVb2KuvoWlpa4tGjR2LzfPz4sdhOIWk8\n6L5kRBrUXsjH1qhH7GrL2tpEZp2uukyzzIc8gmTRokVo0aIFTE1NsWTJErx69QoTJ04EUNqBMTEx\nQUhICJYuXYr09HTMmDGjxo5kxfKYmZkhOjoaycnJUFFRgY6OjsS3QNHW1kazZs2wfv16tGrVCi9f\nvsS0adNqHHksK0dZWSwtLdGvXz989dVX/FzCsLAwZGVl8WVRV1fHjBkz+Dr6+PigqKgIt2/fxs2b\nN/mrbLvUs/HVAAAgAElEQVR06SL2BsyMMVy5cgW//vqrRHUjhBBCZI1G7BqYilekirtCtSxckrR+\n++03zJo1Cy4uLrh48SIOHDjAXxErJyeHP//8E2lpaXBxccE333yD0NDQai9+EJf33LlzkZGRAWtr\nazRv3hzJyckS1Q0oPR28Z88eJCYmwtHREWPGjMH3339faeRRkvS2bNmC1q1bo1evXujatSuMjIzQ\nvXt3KCsr83FmzpyJJUuWYMOGDXB2dkanTp2wfPlymJmZ8XEGDx6MtLQ0XL9+XSS/CxcuIDs7G35+\nfjWWjTRcNGeKSIPaC/nYONZInz5e3cN06aHrBCidL2hjY4OBAwdi8eLFUm375ZdfQk5ODmvXruXD\ngoODoaKiglWrVkmVFrVHQgghsvotoI4d+c84f/48UlNT4eLigrdv32Lp0qXYtWsXrl+/Dnt7e6nS\nevHiBVq3bo1///0XhoaGSEpKgru7O+7du4dmzZpJlRa1x4aF7ktGpEHthUhKVr8FjXqOXW1ud0Ia\nr+LiYixYsAAJCQlQUFDgn7QhbacOKL2lzKtXr/hlMzMzvHz5UpbFJYQQ8h8g69ud0IgdIfWM2iMh\nhBBZ/RbQxROEEEIIIY0EdewIIUQKdF8yIg1qL+Rjo44dIYQQQkgjQXPsCKln1B4JIYTQHDtCCCGE\nECKCOnaEECIFmjNFpEHthXxs1LEjRAYOHDgABwcHfjkiIgJt27atxxIRQgj5L2rUHbuQkBD6t0Tq\nXElJCaZNm4ZZs2bxYcOHD8ebN2/w119/1WPJSF2gG54TaVB7ITURCoUICQmRWXp08QRpMAoLC6Go\nqFjfxajkyJEjGDVqFFJSUiAv//5hLqGhoThx4gSioqKq3Z7aIyGEELp4og7FJcRh9Z+rsWzXMqz+\nczXiEuI+iTS9vLwwduxYzJ8/H/r6+tDR0cGoUaOQk5MDAAgKCkK3bt1EtomIiIBA8P5jDgkJgaWl\nJfbs2QMLCwuoqalh8ODByM7Oxp49e2BtbQ1NTU189tlnyMrK4rcrS3vp0qUwNDSEmpoahg4dijdv\n3gAo/cchLy+Pp0+fiuS/bds2aGlpIS8vTyT8+vXr6NWrF5o3bw4NDQ14eHjgxIkTInFMTU0xa9Ys\nTJw4Ebq6uujSpQsAYPny5XBxcYGGhgb09fUREBCAlJQUfjuhUAiBQIDTp0+jc+fOUFNTg729PY4f\nPy6S/o0bN9C2bVuoqKjAxsYGf//9N0xNTbFgwQI+TnZ2Nr777jsYGRlBTU0Nbdq0wb59+yrt4759\n+4p06gBg4MCBOH/+PJKTkyt+lKQBo7MARBrUXsjHRh27CuIS4hAeGY705unIaJGB9ObpCI8M/6DO\nnSzT3Lt3LzIyMhAVFYVdu3bh8OHDWLRoEb+e47ga03jx4gW2bduG/fv349ixYzh//jz8/PwQHh6O\nvXv38mGhoaEi2125cgVRUVE4efIkjh49ips3byI4OBhAaafT0tISmzdvFtlmw4YNGDFiBFRUVETC\n3759i4CAAAiFQty4cQM9evRA//798eDBA5F4K1asQIsWLXDp0iVs2bKFr2NYWBju3LmDffv24cmT\nJ/D3969UzylTpmDmzJn4999/4enpiWHDhiEjIwMAkJubi969e6N58+aIiYnB1q1bERYWhvT0dH4f\nMsbQr18/3L59G7t370ZsbCwmTJgAf39/nD17ls/n3Llz8PT0rJS/ra0tmjRpIhKXEEIIqUvyNUf5\nbzl97TSULJUgfCR8H6gA/LvrX7h3dK9VmleiryDXKBd49D7My9ILZ66fgbWFtVRpmZqaIiwsDABg\nZWWFYcOG4fTp05g3bx4ASDSMW1BQgK1bt6Jp06YAgKFDh2LdunVITU2Fjo4OAMDf3x9nzpwR2Y4x\nhu3bt0NDQwMAsHr1avTo0QMPHz5Eq1at8OWXX2L58uWYNWsWOI7D/fv38c8//2DVqlWVylA2+lZm\n/vz5OHToEPbs2YMZM2bw4R4eHpg9e7ZI3G+//ZZ/b2JiglWrVsHV1RUvXryAvr4+vy4kJATdu3cH\nACxcuBDh4eGIiYlBt27dsGPHDmRnZyMiIoKvz+bNm2Fra8tvHxUVhUuXLiE1NRWampoAgLFjx+Li\nxYtYuXIlunbtiuzsbLx48QLGxsaV6shxHIyNjSt1VknDRnOmiDSovZCPjUbsKnjH3okNL0ZxrdMs\nQYnY8MKSQqnS4TgOTk5OImH6+vpITU2VKh1DQ0O+UwcAzZs3R4sWLfhOXVlYWlqayHZ2dnZ8JwgA\n2rdvDwC4e/cuACAwMBBpaWn8KdWNGzfCzc2tUpkBID09HRMnToStrS20tbWhoaGB2NhYPHnyRKS+\nHh4elbYVCoXo0aMHjI2NoampiU6dOgEAHj9+LBLP2dmZf6+npwc5OTl+X929e7dSfaytraGlpcUv\nx8TEoLCwEIaGhtDQ0OBfO3bsQEJCAgAgMzMTAETSKU9TU5MfJSSEEELqGo3YVaDAKYgNl4NcrdMU\nVNF/VhRIfyFAxYsHOI5DSUlpx1EgEFQasXv3rnJHVUFBtI4cx4kNK0u3TE2jgTo6OhgyZAg2bNgA\nHx8fbNu2rdLp3DJBQUF4+vQpFi9eDDMzMygrK8Pf3x+FhaKdXTU1NZHlJ0+eoHfv3hg1ahRCQkKg\nq6uL5ORk+Pr6VtpW3IUWFetUnZKSEjRp0gRXr16ttK4s7bKO4Nu3b8WmkZmZKdJZJA2fUCikURgi\nMWov5GOjjl0Fvq6+CI8Mh5elFx9W8KAAQf5BUp82LRNnVDrHTslSSSRNH2+fDy2uCD09PVy6dEkk\n7Pr16zJL/969e3j79i0/OnXhwgUApSN5ZcaNGwdvb2+sW7cO+fn5CAgIEJvW+fPnsXjxYvTt2xcA\nkJOTg8TERJF7wYkTExOD/Px8LFu2DEpKSnyYtOzt7bFp0yZkZWXxp1nj4uJERtfc3NyQkZGBvLw8\n2Nvbi01HTU0N+vr6lUYLgdKOcHJyMqysrKQuHyGEEFIbdCq2AmsLawR5B0EvTQ9aKVrQS9NDkHft\nO3WyTJMxVu2oma+vL+7fv481a9YgMTERGzZswJ49e2pd7oo4jkNgYCBiY2Nx7tw5fPXVVxgwYABa\ntWrFx+nQoQOsra0xdepUBAQE8CNuPj4+InPnrK2tERERgTt37uDmzZsICAhASUmJSP3E1dXKygoc\nx+G3335DUlIS9u/fj/nz50tdlxEjRkBdXR2BgYG4ffs2Ll++jODgYKioqPAXT/j4+MDX1xd+fn44\ncOAAHj58iGvXrmHlypXYuHEjn1aXLl1w+fLlSnncu3cPmZmZ9G+9kaHPk0iD2gv52KhjJ4a1hTUm\nDp2ISf6TMHHoxA/q1MkyTY7jKl31Wj7M19cXP//8M0JDQ+Hs7AyhUIjZs2eLbFNTGtWFeXh4oGPH\njujWrRt69eoFJyenSlfBAsAXX3yBwsJCfPnll3zYw4cPRW5JsmXLFpSUlMDDwwN+fn7o3bs33N3d\nK5W1IgcHB6xcuRK///477O3tsWTJEixbtkxs+aujoqKCo0ePIjU1Fe7u7ggMDMSkSZOgrq4OZWVl\nPt7Bgwfh5+eH77//Hra2tujbty+OHTsGCwsLPs7IkSNx5MgRFBUVieSxb98+dOzYUeyFFYQQQkhd\noBsUE4kEBQXh2bNnOHXqVI1xp02bhjNnzuDatWsfoWSy8/jxY5iZmeHQoUPo06ePxNsxxmBnZ4eQ\nkBAMGzYMQOn8PBsbG4SGhmLIkCHVbk/tsWGhOVNEGtReiKToBsUSoEeKfVyZmZmIiYnBhg0b8P33\n39d3cWoUERGByMhIPHr0CFFRURg6dChMTU35W6RIiuM4LFq0SOTGxjt37uQvJiGEEEKqQo8UkxCN\n2MnW6NGj8ezZM5w8ebLKOF5eXrhy5QoCAgKwadOmj1i62lmxYgVWrFiBZ8+eoWnTpujYsSPCwsJg\nZGT0UctB7ZEQQoisfguoY0dIPaP2SAghhE7FEkJIPaDpHUQa1F7Ix0YdO0IIIYSQRoJOxRJSz6g9\nEkIIoVOxhBBCCCFExH/ykWLa2to13sCWkI9FW1u7votApED3JSPSoPZCPrb/ZMfu9evX9V0E8omh\nL19CCCGNwX9yjh0hhBBCyKeE5tgRQgghhBAR1LEjBHSvKSI5aitEGtReyMdGHTtCCCGEkEaC5tgR\nQgghhNQzmmNHCCGEEEJEUMeOENA8GCI5aitEGtReyMfWqDt2ISEhdFARQggh5JMlFAoREhIis/Ro\njh0hhBBCSD2JS4jD6Wun8bX/1zLpt/wnnzxBCCGEEFLf4hLiEB4ZDkEr2Z1AbdSnYgmRFJ2yJ5Ki\ntkKkQe2FVOfU1VPINMjElWdXZJYmjdgRQgghhHxkmfmZuPz8MpKbJss0XZpjRwghhBDykTDGEPM8\nBqcfnkZ0VDRyjXIBAFGjo2iOHSGEEEJIQ5Gek46DcQeRnFU6SteqVSvcvHsTxi7GMsuD5tgRApoH\nQyRHbYVIg9oLAYCikiIIHwmx7uo6vlMHADYWNpg3eB46FneUWV40YkcIIYQQUkeSM5NxMO4g0nPT\n+TABJ0An407oZNIJ8gJ5dHXpiq+GfSWT/GiOHSGEEEKIjBUUFeBM0hnEPIsBw/v+iJGmEfpZ9UNz\n9eYi8WXVb6ERO0IIIYQQGYp/FY/D8YeRVZDFhynKKcLHzAfuhu4QcHU3E47m2BECmgdDJEdthUiD\n2st/S05hDvbe3Yudt3eKdOosm1piovtEeBp51mmnDqARO0IIIYSQD8IYw63UWziRcAJ5RXl8uKqC\nKnpZ9EJrvdbgOO6jlIXm2BFCCCGE1NKbvDc4FH8ID988FAl3au6EHhY9oKqgKlE6NMeOEEIIIaSe\nlLASXHp6CZFJkXhX8o4P11LWQl+rvrBoalEv5aI5doSA5sEQyVFbIdKg9tI4pWSnYOP1jTiZeJLv\n1HHg0M6oHSa6T6y3Th1AI3aEEEIIIRJ5V/wOUY+jcCH5AkpYCR/eXK05+lv3h6GmYT2WrhSN2P2/\nkJAQvHv3fig1KCgIq1ev/qA0r127hpEjR0q93aNHj9CsWbMPyq9iGhXr9ymaOnUq/vzzTwDA6tWr\nsXjx4irjjh07Fv/884/Ead+8eROurq5wcXGBvb09xowZg7y89xNcvby8+PempqawtbWFi4sLXFxc\ncPLkSX7dwIED4ezsDBcXF3To0AExMTFS1LBUbT8LoVAIVVVVvlzt2rUTG+/Ro0d8HBcXF5iamkJH\nR4dfn5+fjwkTJsDKygqOjo4YN26c1GXZv38/7Ozs4Orqivj4eKm3j4qKwqlTp6TeTpzMzEz8+uuv\nImFeXl44cuSITNKvqHxbIbVz5MgRTJgwAQBw+/Zt9OvXr55LVHeovTQeSW+SsPbqWkQ/ieY7dfIC\nefiY+eBL1y8/iU4dAIA1UtJWjeM4lp2dzS8HBQWxVatWybpYEklKSmK6uroyTaNi/apTVFT0QXnX\nRmpqKrO1teWX8/PzWatWrVheXp5M0s/Ly2Pv3r1jjDFWUlLCBg8ezMLCwsTGNTU1ZbGxsWLXZWZm\n8u8PHDjAHBwcpC6LNJ9FeZGRkczNzU3q7SZNmsS++eYbfvmbb75hP/zwA7+cmpoqdZo9e/Zke/fu\nlXq7MnPmzGFTpkyp1bbFxcUiy+KOFy8vL3b48OFal++/oj6OdcYYc3V1ZUlJSfxyr1692KVLl+ql\nLITUJLcwlx24f4DNiZwj8tp8fTNLz0mXWT6y6pLRiB2Ar74qfYxH+/bt0aZNG2RmZgIA7ty5Ax8f\nH1hZWWHUqFF8/KysLHzxxRfw9PSEk5MTJk2ahJKSkkrpCoVCuLu7AygdRdHV1cXMmTPRpk0b2NjY\n1DjiNGXKFDg5OcHR0RHR0dGV0qy4XHGduPq5uLjw9StTVrapU6fC1dUVGzduxNmzZ/n94ejoyI+k\nAaX/QKdNm4ZOnTrB3Nwc//vf//h1d+/ehaenJxwcHPD555+jXbt2/MjJixcv8Nlnn8HT0xOOjo74\n5Zdf+O22b9+OgQMH8stKSkro3Lkz/v77b7H7pvyIzPr162FnZwcXFxc4OTkhLi6uUnxlZWXIy5fO\nPCgsLEReXh709PRE9mN5rIorkzQ1Nfn3GRkZfBr379+HsbExnjx5AgCYO3cuAgICKm1f8bPIyspC\namoqBg0axH/W27dvF5t3bRQWFmLHjh0YM2YMACA7Oxvbt2/H/Pnz+TjS1uH7779HdHQ0pk2bBh8f\nHwDAiBEj4O7uDkdHR/j5+SEjIwMAEBcXh3bt2sHZ2RkODg4ICwvDnTt38Pvvv2Pbtm1wcXHhR9uO\nHj2Kjh07ws3NDe3bt8fly5cBlH42jo6OGDNmDFxcXHD8+PFK+zQjIwMuLi7o2PH98xajoqLEttGw\nsDB4eHigTZs2aN++PW7dusWvEwgE+OWXX+Dh4QFzc3Ox7U8oFCIkJAQBAQHo06cPbG1t0bdvX34E\nuOJof/nloKAgjB8/Hj4+PjA1NcWkSZNw6tQpdOrUCWZmZlixYgW/nampKf73v//Bzc0NlpaWfBp7\n9uxB3759+XgFBQXQ19fH06dP+bCdO3eibdu2aNOmDdq0aYOzZ89WStfT0xPjx49HamoqunbtCjc3\nN7Ru3Ro//vgjH7e6emZmZmLw4MGwtbWFr68vAgMDMXXqVACl7W7q1Knw9PSEs7MzAgMDkZOTA6D0\nzIKCggJMTU35fIYNG4ZNmzZV2teNAc2xa7gYY7ibfherY1bj+ovrfLiSnBL6WfVDkHMQdFV167GE\nVZBJ9/AjyszMZO7u7kxdXb3KURXGajdil5OTwy+PGjWKderUiRUUFLDCwkJmb2/PTp06xRhjLDg4\nmG3fvp0xVjp64O/vzzZs2FApzfIjLElJSYzjOHbkyBHGGGM7duxgHTp0EFuWsrhleQiFQmZkZMQK\nCgoqjdqUX66YX8URu/L1E5ff7t27+bA3b97wIyMpKSnMyMiIZWRkMMZKR0P8/f0ZY6Wfh66uLktI\nSGCMMdamTRu2Y8cOxhhjV69eZXJycnydfX192blz5xhjjBUUFLCOHTvy+7RPnz7s4MGDIuVav349\nGzNmjNgye3l58ek2adKEpaSkMMYYKywsZLm5uWK3ef78OXNycmIaGhps8ODBIusiIyP596ampszB\nwYE5ODiwiRMn8vUuExwczIyNjZmBgQG7d+8eH759+3bWtm1bduLECWZtbc3evn0rthwVP4uhQ4ey\n2bNnM8YYe/HiBTMwMGB37typtF1kZCTT0NBgzs7OzNPTk23dulVs+uXt2bOHubi48Ms3b95k5ubm\nbOrUqczNzY15eXmx6OhoqetQfv8zxtjLly/59z/99BObPn06Y4yxb7/9lv3yyy/8urJ9GRISwqZO\nncqHJyQksHbt2rGsrCzGGGN37txhxsbGfL3l5OSqHNF59OhRpRG7Ll26VNlG09Pf/8M+deoUa9u2\nLb/McRxbvXo1Y4yxf/75hxkaGlbKLzIyks2ZM4dZWlryI7jdu3fnvwOCgoL4NCoul32vlLVTPT09\nvo0/e/aMqaur823D1NSUBQcHM8ZKR1UNDAzY7du3WVFRETMxMeFHvLZt28b8/PxEyvjq1Sv+/f37\n95mRkRG/bGpqyr766it+OT8/nx9BLiwsZF27dmXHjx9njLFq6/nDDz+wsWPHMsYYe/36NTMzM+M/\n0/nz57Off/6Zz2PatGnsp59+Yowx9uuvv4qMGDPGWFxcHGvVqlWlfd0YlP9uIQ1HZn4m++P2H5VG\n6Xbd3sWy8rPqJE9Zdcka3MUTqqqqOHr0KKZOnVqn96njOA4DBw6EoqIiAKBNmzZ4+LD0HjUHDx5E\nTEwMwsLCAAB5eXkwNjauMU11dXX07t0bAODp6YnJkydXGVdRUZGfL9elSxeoqKiIHYmSFWVlZXz2\n2Wf8clpaGkaPHo2EhATIy8vj9evXiIuLg4eHBwDwcTU1NWFra4vExEQ0a9YMsbGxGD58OADA1dUV\njo6OAICcnBwIhUK8fPmSzyM7Oxv379+Hr68vkpKSYGgoOj/B0NCQ3+fV6dq1KwIDA9GvXz/06dMH\nZmZmYuPp6+vj5s2byM3NxfDhw7Fw4UJMnz4dgOg8mOjoaBgaGqKwsBCTJk3C119/LTKKtnHjRgBA\nREQE/Pz8EBsbC47jMHLkSJw+fRqDBg1CdHQ01NXVayw7AJw5cwZLly4FALRo0QK9e/dGZGQk7O3t\nReK5urri2bNn0NDQwKNHj+Dr6wtDQ0N+1EyczZs386N1AFBcXIyHDx+iTZs2+PXXX3HlyhX069cP\nCQkJ0NDQkKoO5Y+/rVu3YufOnSgsLEROTg6sra0BlLbdadOmITc3F97e3vD29ha7/YkTJ5CYmIjO\nnTuLlDU9vfSh2ZaWlvD09KyxHGU4jhPbRs3NzXH16lWEhobizZs3EAgEleYI+vv7Ayg9Rp8/f47C\nwkL+ewAobStRUVHo2bMnP4Lr6emJxMTEastUVq6BAwdCQUEBCgoKsLa2Rp8+fQAABgYG0NbWxtOn\nT2FlZQUACA4OBlA6qtqnTx9ERkaidevWGDduHNatW4eFCxdi9erVCA0NFcknISEBM2fOxPPnz6Gg\noICUlBSkpaXxo7OBgYF83KKiIkyZMgUXL14EYwwpKSm4desWevToAQBV1lMoFGLVqlUAAG1tbZER\n94MHD+Lt27fYu3cvgNJRRWdnZwClZwhatWolUl4jIyM8fvxY7D5r6GiOXcPCGMO1F9dwKvEUCooL\n+HB1RXX0sewD22a29Vg6yTS4jp28vDx0dT/O0KeSkhL/Xk5ODkVFRfzygQMHRE4lfEh6CxYs4L8A\nly1bBhMTEwClDaz8nao5joO8vLzIad/8/HypylAVNTU1keUJEyZg4MCB2LdvHwDA2tpaJC9lZWWx\ndalKSUkJBAIBrl69Cjk5OYnKJOnNGv/++2/ExMTg7Nmz8Pb2xrp169CzZ88q46uqqsLf3x87duwQ\nu76sg6moqIgJEyZgwIABYuONHDkSX375Jd68eYOmTZuisLAQsbGx0NbWRkpKigQ1fK98PSt+7mU0\nNDT496amphg4cCD++eefKjt2z549w7lz50TqaWxsDHl5eb7z4uHhAV1dXTx48ABt2rSRqg5lZTx/\n/jzWrVuHixcvQkdHBzt37sSGDRsAAH5+fmjfvj1OnDiBhQsXYvPmzdi+fbvYz7Vnz57YunWr2Lwk\n7SSXJ66NFhYWYsiQIYiOjoazszOeP38OIyMjsduVtdOioiKRjl2Zisdz2fFR8Rgtf5GOuO2qO5aq\nahdjx45FmzZt0K9fP2RmZqJr164ieQQEBGDp0qXo378/GGNQVVUVOX7L788lS5YgIyMDV65cgaKi\nIsaNG8fH5TiuynqKK195a9eulbhTU3asV9X2CfkYXua+xKG4Q3icKfonw1XfFd3Mu0FZXrmKLT8t\nNMfu/2loaPDzgmrSv39//PLLL/yX98uXL/Ho0aNa5/3TTz/hxo0buHHjBrp06QKgdI7Kzp07AZT+\ncObn58PGxgatWrXCw4cPkZGRAcYY/vjjD4nykKZ+QOn8mbIO5qlTp5CQkCCyXtwPs6amJuzt7fky\nXb9+Hbdv3+bz79Spk8i8uuTkZKSmpgIo7aiUnyMEAE+fPq30z76i4uJiJCYmwt3dHT/++CO6d++O\nmzdvVoqXlJSEgoLSf1+FhYU4cOAAP/oIvJ8Hk5uby89BZIxh165dcHFxAVA66picnMxvc+jQIRgY\nGKBp06YASq/qdXd3x8mTJzF+/Hg8e/ZMbJkrfha+vr58RyglJQXHjh2r9ENdtq5sv79+/RonT57k\nyybO1q1b0bdvX2hra/Nhurq68Pb25q9IjY+PR1paGiwsLKSqQ3kZGRlo0qQJmjZtioKCAmzevJlf\nl5CQAD09PYwaNQqzZ8/mryJu0qSJyFzP7t274/jx47h79y4fJukVx5qamsjNzUVxcbFIuLg2mp+f\nj+LiYr4zt2bNGonyKE8oFFZKu6xTAgAWFhZ82V+8eFHjHKvq/ryEh4cDANLT03Hs2DF+xFNXVxe+\nvr4ICAjg522Wl5mZyf/x3LRpE9/2xcnMzIS+vj4UFRXx7NkzHDhwoMqyla+nl5cXtm3bBqC0DRw8\neJCP179/f4SFhfGdwLdv3+L+/fsASo/1iu3q6dOnMDY2bpSdOppj9+krLinGucfnsDZmrUinTkdF\nB0HOQehn3a/BdOqAeuzYrVq1Cm5ublBWVsbo0aNF1r1+/RqDBg2Curo6TE1Nq+y8yPJLYPLkyeja\ntavIxRNVpb9s2TLIycnxk9179eqF58+fiy1fxRE3Scuvo6ODmzdvwsnJCV9//TX++OMPyMvLw8DA\nAJMnT4arqys6dOgAAwODKvMo/15c/aory8KFCzFlyhS4uLhgz549cHJykqjs27Ztw7Jly+Do6Iiw\nsDA4ODigSZMmAIAdO3bg7t27cHR0hKOjI/z9/fmyeHt749KlSyJpXbhwodrTjEBpx2706NFwdHSE\ns7MzUlJSxN6+48KFC3B3d4ezszPc3NxgYGDAT6i/evUqf0o2JSUF3t7ecHJygoODAxISEvgf/5yc\nHAwdOhSOjo5wcXHB6tWr+R/B/fv349y5c1i2bBns7OwwZ84cBAQEiL2opvxnkZWVhRUrVuDWrVtw\ncnJC9+7dsWjRItjaVh7u/+uvv+Dg4AAXFxd06dIFo0aN4m8TcfXqVf6UXpmtW7eKnIYts27dOoSG\nhsLR0REBAQGIiIiApqamVHUor1evXjA3N4eVlRW8vLzg6urKt489e/bA0dERbdq0wbfffovly5cD\nAAYNGoSYmBj+4gkLCwtEREQgODgYzs7OsLOz4zu7QPXHStOmTTFixAg4ODiIXDwhbhtNTU3MmzcP\n7u7ucHNzg7q6eq2OUXHHdvnRtKdPn8Le3h4TJ05E27Ztq02zurrp6uryF5PMmDFD5PR8cHAw3rx5\nw55QpxsAACAASURBVF/Y1adPH1y/XjrBe9myZRg4cCBcXV2RlJRU7VmOb7/9Fv/88w8cHBzwxRdf\nwNfXV6J6zp49G2lpabC1tYWfnx/c3Nz4Y3369OlwcnKCu7s7nJyc0KlTJ75jV9WxXj5fQj6WZ1nP\nsP7aepxNOotiVvrnUMAJ0Mm4E8a7jYeplmn9FrAW6u1Zsfv27YNAIMCJEyeQl5eHLVu28OvKrsTb\ntGkTbty4gT59+uDChQuws7Pj44wePRpTpkypNA+pDD0rtn7k5OTwp3Xv3r0Lb29vxMfH81/4VUlL\nS4OXlxc/YlNQUAA7OzvExsaKnKoi5L/CzMwMR44cEfneK+/nn39GamoqVq5c+ZFLVqqoqAjFxcVQ\nUlJCVlYWOnXqhKVLl4odba6oTZs2+Pvvv/lRxT59+mDWrFmVOsGE1JXC4kKcTTqLy08vg+F9X8FA\nwwD9rfujhXqLj16mBv+s2EGDBgEoHWkofwouJycHf//9N2JjY6GqqooOHTpgwIAB2L59O38ar3fv\n3rh16xbi4uIwbtw4kVuRkPp14cIFkQtbNm7cWGOnDng/OXz37t0YOnQoNm7ciPHjx1OnjhAx7O3t\noaioiBMnTtRbGV6/fo3evXujuLgY+fn5GDFihESdOgCYP38+fv31V6xZswa3b9+GQCCgTh35aBJe\nJ+Bw/GFk5L+fEqMgUEBXs67wNPKEgGvYs9Tq/eKJir3T+Ph4yMvL83N+AMDJyUlknsLRo0clSjso\nKIj/R6ilpQVnZ2d+Mm9ZerQs2+Vu3brh5s2btdq+T58+/HLFkdi6Lv+yZcuofdCyRMtl7+s6vy1b\ntvCjdRXXl93Truwq1/raH1evXhVZLlPT9mpqahg6dCgAwMHBAZMnT4ZQKPwkPl9ZL3+s9kLLNS97\ndPDA8YTjOHiidD6oqbMpAKAwoRCuLV3RrmW7j1qesvcfMkdfnHo7FVtm1qxZePr0KX8q9vz58xg6\ndChevHjBx9mwYQN27tyJyMhIidOlU7FEGuV/VAipDrUVIg1qL/WPMYbbabdxPOE4ct/l8uEq8iro\nadETjs0dP4kLdxr8qdgyFSuhrq6OrKwskbDMzEyRWz0QImv0xUskRW2FSIPaS/3KyM/A4fjDSHgt\nemcHBz0H9LToCTVFtSq2bLjqvWNXsZdsZWWFoqIiJCQk8Kdjb926hdatW9dH8QghhBDSwJSwElx5\ndgVnk86isLiQD2+i1AR9rPrASseqHktXtwT1lXHZhNuyK6sKCgpQXFwMNTU1+Pn5Yfbs2cjNzUV0\ndDQOHTqEzz//XOo8QkJCKs39IEQcaidEUtRWiDSovXx8qdmp2HR9E44nHOc7dRw4eBp6YqL7xE+u\nUycUlj5/WlbqbY5dSEgI5s2bVyls9uzZePPmDcaMGYNTp05BV1cXCxcu5O+ULymaY0ekQfNgiKSo\nrRBpUHv5eIpKinDu8TlEP4lGCXt//81mqs3Q37o/WjZpWY+lq5ms+i31fvFEXaGOHSGEEPLf8Djj\nMQ7FH8LL3PfPI5fj5NDZpDM6GneEnECyR1nWp0Zz8QQhhBBCSG3kF+Xj9MPTuPr8qki4cRNj9LPq\nh2ZqzeqpZPWnyo6dpHPalJSUsHHjRpkVSJZCQkLg5eVFw+CkRnS6hEiK2gqRBrWXunP/5X0ciT+C\nt4Vv+TAlOSX4tvKFm4HbJ3ELE0kIhUKZzsWs8lSskpISZsyYUeWwYNmQYVhYGN6+fSs2Tn2iU7FE\nGvTlSyRFbYVIg9qL7L0teItjCcdwN/2uSLi1jjV6W/ZGE+Wan3b0KarzOXbm5uZITEysMQFra2vE\nxcV9cEFkjTp2hBBCSOPBGMONlBs4mXgS+UX5fLiaghp6W/aGXTO7BjNKJw5dPFED6tgRQgghjcOr\n3Fc4FH8IjzIeiYS7tHBBd/PuUFFQqZ+CyZCs+i21uo/dw4cPZf5sM0LqE91rikiK2gqRBrWXD1Nc\nUozoJ9FYe3WtSKdOW1kbgU6BGGAz4P/Yu++ouK5rf+DfKQy9N9ERVaCGegMJCSGKAJe8OHKRixzH\n+dnW84uTX7yWbVnI8Xt+vxQnsfMSO26yrJc4tl+xQCBE0QgkoS4hq1E19CJ6hyn398c1M1wkpBmY\nmXtn2J+1smw2gtl2jofNPufuYxVFnTHpVdjt2LEDp06dAgB89tlnWLhwIWJjYwX70AQhhBBCLFvL\nQAs+uvgRiuqKoNKoALCDhjcEbcALq15AmHsYzxkKk15bsd7e3mhuboZMJsOiRYvw4Ycfws3NDQ88\n8ABqamru9+W8EIlE2Lt3Lz0VSwghhFgQpVqJY4pjKG8sBwNdieLn5Ies6Cz4OfvxmJ3xTTwVu2/f\nPvOdsXNzc0Nvby+am5uxevVqNDc3AwCcnZ0F+UQsQGfsCCGEEEtT212L3Kpc9Iz2aGNSsRSbQzdj\nXdA6iEW83YRqcmYdULx06VK88847UCgU2L59OwCgqakJrq6W+UgxIVPRSAKiL1orxBC0XvQzrBzG\n0dqjuNx2mROf7zYfmdGZ8LD34Ckzy6NXYffJJ59gz549kMlk+PWvfw0AKC8vx+OPP27S5AghhBBi\nvRiGwbXb15BfnY8h5ZA2bie1Q0p4CuLmxVn0CBM+0LgTQgghhJhd32gfDlcfRlVXFSe+0Hsh0iLT\n4CRz4ikzfpj9rtiysjJcunQJAwMD2hcXiUR47bXXZp2EqdCVYoQQQoiwMAyDcy3nUFRXhHH1uDbu\nYuuC7ZHbEe0VzWN25me2K8Um2717N7766iskJCTA3p47L+aLL74wWjLGRB07Ygg6B0P0RWuFGILW\nC1fHUAdyKnPQ2N/Iia/yX4WtYVthK7XlKTP+mbVjd/DgQVy7dg3+/v6zfkFCCCGEzC0qjQonGk6g\nrL4MakatjXs5eCErOgvBrsE8Zmdd9OrYLVmyBCUlJfDy8jJHTkZBHTtCCCGEf419jThUeQi3h29r\nYxKRBPHB8UgISYBUrPepMKtm1o7dJ598gueeew6PPfYYfH19OZ/buHHjrJMghBBCiHUZU42h+FYx\nzjWf4wwaDnQJRFZ0FnwcfXjMTjgqK+tRVFRrtO+nV2F34cIF5OXloays7I4zdo2NjdN8FSGWg87B\nEH3RWiGGmKvrpaqrCrlVuegf69fGZBIZkuYnYVXAKqseNGyIysp67N9fA5EoyWjfU6/C7vXXX0du\nbi6Sk5ON9sKEEEIIsS6D44M4UnMEVzuucuKRHpHIiMqAqx1dbDBZYWEturuTUGu8hp1+Z+yCg4NR\nU1MDmUxmvFc2MTpjRwghhJgHwzCoaK9AQU0BRlQj2riDjQPSItKwyGcRDRqeorsbeOklOVpaEgEA\nx48bp27Rqxf61ltv4V/+5V/Q2toKjUbD+Z+QZWdnG3U2DCGEEEK4ekZ68MWVL/C/N/+XU9Qt9V2K\nl1a/hMW+i6mom0SjAU6dAv7yF6C3V4PeXjkUimyjfX+9OnZi8d3rP5FIBLVafdfP8Y06dsQQc/Uc\nDDEcrRViCGteLxpGg9NNp3Hs1jEoNUpt3M3ODZlRmQj3COcxO2FqawMOHQJaWtiPOzvrUVFRg9DQ\nJBw8aManYuvq6mb9QoQQQgixDq0DrThUeQitg63amAgirA1ci83zN0MmsZyjW+agVALHj7Odusmb\nnQsXhuCRR4CrV0tw8KBxXovuiiWEEEKIXpRqJY7XH8epxlPQMLoKxdfRF1nRWQhwCeAxO2FSKICc\nHKCrSxeTSoFNm4D16wGJhI0Zq26Z9ozdnj179PoGe/funXUShBBCCBG2Wz238Jfzf8GJhhPaok4q\nliJpfhJ+suInVNRNMTrKFnT793OLupAQ4Kc/BRISdEWdMU3bsXNycsKVK1fu+cUMw2DFihXo7e01\nfmazRB07YghrPgdDjIvWCjGENayXEeUICusKcbH1Iice6haKzKhMeDp48pSZcN28CRw+DAwM6GK2\ntkByMrBiBXC3Z0lMfvPE8PAwIiIi7vsNbG3n7oW9hBBCiLViGAY3Om8grzoPg+OD2rid1A7JYclY\n7recnnadYnAQyMsDrl/nxhcsANLTARcX0+dAZ+wIIYQQwtE/1o+86jzc7LzJicd4xSA9Mh3Ots48\nZSZMDANcugQcPcpuwU5wcmILupiYu3fpJjPrXbGWKjs7G4mJiRbfBieEEELMgWEYXGi9gMLaQoyp\nx7RxZ5kz0iPTEeMdw2N2wtTdzZ6lu3WLG1+2DNi2DZhyE+sd5HK5UWfuUseOEFjHORhiHrRWiCEs\nab10DnfiUOUhNPQ1cOIr/FYgOTwZdlI7njITJo0GKC8Hjh0DVCpd3N0dyMwEwsIM+37UsSOEEELI\nrKk1apxsPInjiuNQM7pLBzztPZEZnYlQt1D+khOotjbg22+BVt0YP4hEwLp1wObNgI0Nf7lRx44Q\nQgiZo5r6m3Co8hA6hjq0MbFIjA1BG7ApdBOkYur/TDbdoOF584CsLMDff+bf26wdu46ODtjb28PZ\n2RkqlQoHDhyARCLBzp07p71ujBBCCCHCNK4eR8mtEpxpOgMGumLC39kfWdFZmOc0j8fshEmhYK8D\n6+7WxaRSIDGR7dSZYibdTOjVsVu9ejU+/PBDLFu2DK+++ipyc3NhY2ODxMRE/OEPfzBHngajjh0x\nhCWdgyH8orVCDCHE9VLdVY3cqlz0jfVpYzZiG2yZvwVrAtdALKKGzWSjo0BhIXDhAjceGsqepfM0\n0hg/s3bsqqurERcXBwA4ePAgTp06BWdnZ8TGxgq2sCOEEEKIztD4EApqC3ClnXv5QLh7ODKiMuBu\n785TZsJ14wY7l27qoOFt24Dly+8/woQPenXsvLy80NTUhOrqauzYsQPXrl2DWq2Gq6srBgcH7/fl\nvKCOHSGEEMKOMPmu4zscqTmCYeWwNm4vtUdqRCqW+C6hQcNTDAywBd2NG9z4ggXA9u2AswnG+Jm1\nY5eamopHHnkEXV1d+NGPfgQAuH79OgIDA2edACGEEEJMo3e0F7lVuajpruHEF/ssRmpEKhxljjxl\nJkz3GzQcG8tfbvrSq2M3OjqKzz//HDKZDDt37oRUKoVcLkdbWxt27NhhjjwNRh07YgghnoMhwkRr\nhRiCr/WiYTQ423wWxXXFUGqU2rirrSsyojIQ6Rlp9pyEbrpBw8uXs3e83m/Q8GyZtWNnZ2eH559/\nnhOjNzZCCCFEeNoH23Go8hCaB5q1MRFEWB2wGklhSZBJZDxmJzzTDRr28GAfjpg/n7/cZmLajt3O\nnTu5f/D7/XeGYTh78QcOHDBhejMnEomwd+9eulKMEELInKDSqFBaX4oTDSegYXRD1nwcfZAVnYVA\nFzo+NVVrKzvCZPKgYbGYHV+SmGieQcMTV4rt27fPKB27aQu77OxsbQHX2dmJzz//HJmZmQgJCUF9\nfT1yc3Px1FNP4b333pt1EqZAW7GEEELmivreehyqPISukS5tTCKSYFPoJmwI2gCJWCBD1gRCqQTk\ncrZTN3XQ8AMPAH5+5s/JWHWLXmfstm3bhj179iAhIUEbO3HiBN566y0cPXp01kmYAhV2xBB0boro\ni9YKMYSp18uoahRFdUU433KeEw92DUZWdBa8HLxM9tqW6tYt9iyd0AYNm/WM3enTp7F27VpObM2a\nNSgvL591AoQQQggx3I3bN5BXnYeBcd2QNVuJLbaGbcVK/5U0wmSK0VH2adeLF7lxYw8a5pteHbtN\nmzZh1apV+NWvfgV7e3sMDw9j7969OHPmDEpLS82Rp8GoY0cIIcQaDYwNIK86Dzc6uUPWoj2jsT1q\nO1xsXXjKTLhu3AAOHwYmj961s2MHDS9bJoxBw2bt2O3fvx+PPfYYXFxc4O7ujp6eHqxcuRJ/+9vf\nZp0AIYQQQu6PYRhcaruEo7VHMarSDVlzkjkhLSINsd6x1KWbYrpBwzEx7Fw6Uwwa5pteHbsJDQ0N\naGlpgZ+fH0JCQkyZ16xRx44Ygs5NEX3RWiGGMNZ66RruQk5VDhS9Ck58ud9yJIclw97GxEPWLAzD\nsFuuhYV3Dhrevp0t7ITGrB27CXZ2dvDx8YFarUZdXR0AICwsbNZJEEIIIeROao0a5U3lkCvkUGl0\nQ9Y87D2QGZWJ+e4WNmTNDLq62IcjFApufPlyduvVzo6XtMxGr47dkSNH8Oyzz6J18qAXsNWlWq02\nWXKzQR07QgghlqxloAWHKg+hbbBNGxOLxFgXuA6JoYmwkZhhyJoFUavZ8SVyuWUOGjbruJOwsDD8\n8pe/xJNPPgkHB4dZv6g5UGFHCCHEEo2rxyFXyFHeWA4Gup9jfk5+yIrOgp8zD0PWBG66QcPr1wOb\nNpln0PBsmbWw8/DwQFdXl0UdyqTCjhiCzk0RfdFaIYYwdL3UdtcityoXPaM92piN2Aab52/G2sC1\nEIvEJsjSck03aNjPD8jK4mfQ8EyZ9Yzds88+i08//RTPPvvsrF+QEEIIIVzDymEU1BSgor2CEw9z\nD0NGVAY87D14yky4phs0vHkzO2hYPEdrYL06dvHx8Th79ixCQkIwb9483ReLRDTHjhBCCJkhhmFw\nteMqjtQcwZBySBu3l9ojJSIFS32XWtRumTmMjLBPu04dNDx/PnuWzsNCa2CzbsXu379/2iSeeuqp\nWSdhClTYEUIIEbK+0T4crj6Mqq4qTnyRzyKkRqTCSebEU2bCxDDsPLq8PGEPGp4psxZ2logKO2II\nOjdF9EVrhRjibutFw2hwrvkcim8VY1w9ro272Lpge+R2RHtFmzlL4RsYYG+OuHmTG4+NBdLSrGPQ\nsFnP2DEMg88++wxffPEFmpubERgYiCeeeALPPPMMtYgJIYQQPXUMdeBQ5SE09TdpYyKIsCpgFZLm\nJ8FWastjdsIzMWj46FFgbEwXd3Zmb44Q4qBhvunVsfvXf/1XHDhwAD//+c8RHByMhoYG/P73v8fj\njz+ON954wxx5GkwkEmHv3r1ITEyk364JIYTwSqVRoay+DCcaTkDN6Oa/ejt4IzM6E8GuwTxmJ0zT\nDRpesQJITraeQcNyuRxyuRz79u0z31ZsaGgojh8/zrlGrL6+HgkJCWhoaJh1EqZAW7GEEEKEoKGv\nATmVObg9fFsbk4gkSAhJQHxwPKRigy6Bsnr3GjSclQWEhvKVmWmZdSt2eHgYXl5enJinpydGJ1/A\nRogFo3NTRF+0Vog+KmsqkX8uH4WnCsH4MggLC4OXP/tzNNAlEFnRWfBx9OE5S+FpaWEHDbfpLtuw\nuEHDfNOrsEtNTcUTTzyBd955ByEhIVAoFHj99deRkpJi6vwIIYQQi1JZU4l3D78LhYcC7Y7tcAt0\nw+Xrl7FKvAqPJjyKlf4radDwFEolcOwY26mb3LSyxEHDfNNrK7avrw+7d+/GP/7xDyiVStjY2OCR\nRx7B+++/Dzc3N3PkaTDaiiWEEGJuA2MDePkvL6POrY4T97D3wAblBvz8iZ/zlJlw1dWxZ+l6dJdt\nwMaGHTS8du3cGTTMy7gTtVqNzs5OeHl5QSKRzPrFTYkKO0IIIebCMAwutl5EYV0h5HI5RgPZo0o2\nYhtEekbC28Eb7u3u+Jcd/8JzpsIxMsI+7XrpEjdu6YOGZ8pYdYtedfDnn3+OiooKSCQS+Pr6QiKR\noKKiAl988cWsEyBECORyOd8pEAtBa4VMdXvoNj67/BlyqnIwqhqF+PsfrfOc5sH3ti98HH0gEokg\nE8t4zlQYGAa4fh34j//gFnV2dsADDwBPPjn3ijpj0uuM3Z49e3D58mVOLDAwEJmZmdi5c6dJEiOE\nEEKETKVR4UTDCZTVl3FGmCyLXYbu5m74hvpC0aQAAIxVjyFpcxJPmQpHfz97c8TdBg2npwNOdNnG\nrOm1Fevu7o7Ozk7O9qtKpYKnpyf6+vpMmuBM0VYsIYQQU7nbCBOxSIwNQRuwMWQj6m7VofhiMcY1\n45CJZUhanoToiLl7owTDABcusHe8Th00vH07sGABf7kJhVnHncTExOCbb77Bj370I23sf/7nfxBD\nI58JIYTMIaOqURTVFeF8y3lOPMA5AFnRWfB18gUAREdEz+lCbrLOTvbhiPp6bnzlSmDrVusZNCwU\nenXsTpw4gfT0dCQnJyMsLAy1tbUoKipCXl4e4uPjzZGnwahjRwxBs8mIvmitzE0Mw+BG5w3kV+dj\nYHxAG5dJZEian4RVAavuOsJkLq8XtRo4dQo4fpw7aNjTk304wloHDc+UWTt28fHx+O677/C3v/0N\nTU1NWL16Nf74xz8iKCho1gkQQgghQtY32oe86jxUdlVy4tGe0UiPTIernStPmQnXdIOGN2wANm6k\nQcOmZPC4k/b2dvj7+5syJ6Ogjh0hhJDZ0DAanG85j6K6Ioyrx7VxJ5kT0iPTEeMVA5FIxGOGwjM+\nzl4FNnXQsL8/O2h43jzeUhM8s3bsenp68OKLL+Kbb76BVCrF8PAwDh06hLNnz+Ltt9+edRKEEEKI\nkLQPtiOnKgdN/U2c+Aq/FUgOT4adlA6GTUWDhoVBr3/NP/3pT+Hi4oL6+nrY2toCANatW4cvv/zS\npMkRYi40m4zoi9aKdVOqlSiuK8aHFz7kFHVeDl54Ju4ZZEZnGlTUzYX1MjICfPstcOAAt6gLCwP+\nz/9h73mlos589OrYFRcXo7W1FTaTNsW9vb3R0dFhssQIIYQQc7rVcws5VTnoHunWxiQiCRJCEhAf\nHA+pWK8fmXPGxKDhvDxgaEgXt7MDUlKAuDiAdqrNT68zdhERESgtLYW/vz/c3d3R09ODhoYGbNu2\nDTenThkUCDpjRwghRB/DymEU1hbiUhv3bqtg12BkRmXC29Gbp8yEq78fOHwYqOQ+T4KFC4G0NBo0\nPBNmPWP34x//GP/0T/+Et99+GxqNBuXl5Xjttdfw/PPPzzoBQgghhA8Mw+Bqx1UcqTmCIaWu5WQr\nsUVyeDJW+K2ghyOmoEHDwqdXx45hGLz33nv48MMPoVAoEBwcjJ/+9Kd4+eWXBbvoqWNHDDGXZ00R\nw9BasQ69o704XHUY1d3VnHisdyzSItLgbOtslNexpvVCg4ZNy6wdO5FIhJdffhkvv/zyrF+QEEII\n4YuG0eBM0xmU3CqBUqPUxl1sXZAemY4FXtRymkqtBk6eBEpL7xw0nJUFhITwlxu5k14du5KSEoSG\nhiIsLAytra149dVXIZFI8M4772AeD0NpXn31VZSXlyM0NBSffvoppNI761Pq2BFCCJmsdaAVOVU5\naBlo0cZEEGFVwCokzU+CrdSWx+yEqbmZHTTc3q6LTQwa3rQJuMuPXzJDxqpb9HoA+YUXXtAWT6+8\n8gpUKhVEIhF+8pOfzDoBQ1VUVKClpQWlpaVYsGABvvnmG7PnQAghxHKMq8dxtPYoPrr4Eaeo83H0\nwbPLn0V6ZDoVdVOMjwMFBcDHH3OLOn9/4Cc/AZKSqKgTKr3+b2lpaUFwcDCUSiUKCgq08+z8/PxM\nnd8dysvLkZKSAgBITU3FZ599hh07dpg9D2JdrOkcDDEtWiuWpba7FrlVuegZ1Q1Yk4ql2BSyCeuD\n1kMilpj09S1xvdTWArm5dw4a3rIFWLOGZtIJnV6FnYuLC9ra2nDt2jUsXLgQzs7OGBsbg1KpvP8X\nG1lPT4+2oHRxcUF3d/d9voIQQshcMzQ+hILaAlxpv8KJz3ebj4yoDHg6ePKUmXCNjLBdusuXufGw\nMCAzE3B35ycvYhi96u7du3dj9erVeOyxx/DCCy8AAE6ePImYmJgZv/Cf/vQnrFy5EnZ2dnjmmWc4\nn+vu7sZDDz0EJycnhIaG4u9//7v2c25ubujv7wcA9PX1wcPDY8Y5EDLB0n6jJvyhtSJsDMPgcttl\n/OnsnzhFnb3UHg9EP4Anlz5p1qLOEtYLwwBXrwJ/+hO3qLO3Bx58ENi5k4o6S6JXx+7VV1/Fgw8+\nCIlEgoiICABAYGAgPv744xm/cEBAAPbs2YOCggKMjIxwPvfiiy/Czs4OHR0duHTpErZv346lS5ci\nNjYW69evx7vvvoudO3eioKAA8fHxM86BEEKI9ege6UZuVS7qeuo48cU+i5EakQpHmSNPmQnXdIOG\nFy0CUlNp0LAl0uupWFPas2cPmpqa8NlnnwEAhoaG4OHhgWvXrmmLyKeeegr+/v545513AAC//OUv\ncfr0aYSEhOCzzz6jp2LJrFniORjCD1orwqPWqFHeVA65Qg6VRjePw83ODdsjtyPSM5K33IS6XhgG\nOH8eKCriDhp2cWEHDUdH85fbXGXyOXYLFizQXhcWFBQ0bRINDQ2zSmDqP0RVVRWkUqm2qAOApUuX\nci5S/vWvf63X93766acRGhoKgN3CjYuL0/4HNvH96GP6GAAuf7//IJR86GP6mD7W7+Pm/mb89m+/\nRc9oD0LjQgEAissKxHrH4oUdL0AmkQkqXyF8/O23cpw8CTg4sB8rFOznf/jDRCQlAadPy9HaKpx8\nrfXjib9XKBQwpmk7dmVlZUhISLgjiakmEp2pqR27srIyPPLII2htbdX+mY8++gh/+9vfcOzYMb2/\nL3XsCCHEeo2pxnBMcQxnms6Age693s/JD5nRmfB39ucxO2GaGDR8/Dj79xO8vNiHI2jQML9M3rGb\nKOqA2Rdv9zL1H8LJyUn7cMSEvr4+ODsb53oXQgghlq2qqwqHqw6jb6xPG7MR22Dz/M1YG7gWYpGY\nx+yEabpBw/HxwMaNNJPOmkz7f+WePXumrR4n4iKRCG+99dasEph612xUVBRUKhVqamq027EVFRVY\ntGjRrF6HkHuRy+Um/QWGWA9aK/wZHB9EfnU+rt2+xomHu4cjIyoD7vbCe3ST7/UyPg4cOwacPs2e\nq5sQEMBeB+bry1tqxESmLewaGxvvKLommyjsZkqtVkOpVEKlUkGtVmNsbAxSqRSOjo54+OGH8eab\nb+Ljjz/GxYsXkZOTg/LycoNfIzs7G4mJifQmTAghFoxhGFxsvYjCukKMqka1cQcbB6RGpGKx20js\nJwAAIABJREFUz+JZ/TyyVrW1QE4O0Nuri9GgYeGRy+X3PPJmKN6eis3Ozr6j25ednY0333wTPT09\n2LVrFwoLC+Hl5YV///d/N/h2CTpjRwghlq9zuBM5lTmo76vnxOPmxWFb+DY42DjwlJlwDQ+zg4Yr\nKrjx8HAgI4Nm0gmVseqWaQu7urq6u4XvEBYWNuskTIEKO0IIsVxqjRonGk6gtL4UakZ30t/D3gMZ\nURkIcxfmzx4+MQxw7RqQnw8MDeni9vbsTLolSwBqbAqXyQs7sR49WpFIBPXkR2sEhAo7Ygi+z8EQ\ny0FrxfQa+hqQU5mD28O3tTGxSIz1QeuxKWQTbCQ2PGZnGHOtl74+dtBwVRU3ToOGLYfJn4rVaDSz\n/uaEEEKIvkZVoyiqK8L5lvOceIBzADKjMzHPaR5PmQkXDRomU/F+84SpiEQi7N27lx6eIIQQC3Dj\n9g3kVedhYHxAG5NJZEian4RVAatohMld3L7NjjBpbOTGV60Ctm4FbG35yYsYZuLhiX379pl2KzYl\nJQUFBQUAuDPtOF8sEqG0tHTWSZgCbcUSQojw9Y/1I686Dzc7b3LiUZ5R2B65Ha52rjxlJlxqNXDi\nBFBaeueg4awsIDiYv9zIzJl8K/bJJ5/U/v2zzz47bRKEWAM6N0X0RWvFOBiGwfmW8yiqK8KYWreH\n6CRzQlpEGmK9Y63iZ4yx10tTE9ul6+jQxcRiICGB/R8NGibTLoHHH39c+/dPP/20OXIhhBAyB3QM\ndSCnMgeN/dw9xBV+K7A1bCvsbex5yky4xseBkhLgzBkaNEzuTe8zdqWlpbh06RKGvn+GemJA8Wuv\nvWbSBGeKtmIJIURYVBoVSutLcaLhBDSM7gE9LwcvZEZlIsSNLiu9m5oaIDf3zkHDSUnA6tU0aNha\nmHwrdrLdu3fjq6++QkJCAuztLec3Kbp5ghBChEHRq0BOZQ66Rrq0MYlIgvjgeCSEJEAqpj3Eqe41\naDgzE3Bz4ycvYly83Dzh7u6Oa9euwd/f32gvbGrUsSOGoHNTRF+0VgwzohxBYV0hLrZe5MSDXIKQ\nGZ0JH0cfnjIzj5msF4YBrl4FjhyhQcNziVk7dkFBQZDJZLN+MUIIIXMDwzC4dvsa8qvzMaTUVSe2\nElskhydjhd8Kq3g4wtimGzS8eDFb1Dk68pMXsRx6dezOnTuHf/u3f8Njjz0G3yknNDdu3Giy5GaD\nOnaEEMKP3tFeHK46jOruak48xisGaZFpcLF14Skz4WIY4Nw5dtDw+Lgu7uLC3u8aFcVfbsQ8zNqx\nu3DhAvLy8lBWVnbHGbvGqZMRCSGEzEkaRoMzTWdQcqsESo1SG3exdUF6ZDoWeC3gMTvhutugYZGI\nHTSclESDholh9OrYeXp64ssvv0RycrI5cjIK6tgRQ9C5KaIvWit31zbYhkOVh9Ay0KKNiSDCqoBV\nSJqfBFvp3KxO7rVeaNAwmcysHTtHR0ds2rRp1i9mbvRULCGEmJZSrYRcIUd5UzlnhImPow8yozIR\n5BrEY3bCdbdBwxIJEB9Pg4bnGl6eit2/fz/Onj2LPXv23HHGTizQATrUsSOEENOq7a5FblUuekZ7\ntDGpWIqNIRuxIWgDJGIJj9kJ0/g4UFwMnD3LHTQcGMh26Xys+yFhcg/Gqlv0KuymK95EIhHUk/vH\nAkKFHSGEmMbQ+BCO1h5FRTt3wFqoWygyozLh6eDJU2bCVlMD5OSwT75OkMmALVto0DAx81ZsXV3d\nrF+IECGjc1NEX3N5rTAMgyvtV1BQW4Bh5bA2bi+1x7bwbYibF0cjTKaQy+VYvToRR44AV65wPxcR\nwT7xSoOGiTHpVdiFhoaaOA1CCCFC1j3SjdyqXNT1cH/RX+SzCKkRqXCSOfGUmTBVVtajsLAWJ05c\nwR/+oEFgYDi8vNgr0xwc2Jl0ixfToGFifHrfFWtpaCuWEEJmT61R43TTacgVcs4IE1dbV2REZSDS\nM5LH7ISpsrIeH35YA4UiCd3dbEylKkZcXAQ2bw6hQcPkrsy6FUsIIWTuae5vRk5VDtoG27QxEURY\nG7gWm+dvhkxCNxJNxTDAp5/WoqIiiTPCxNExCZ6eJfjBD0L4S47MCVZ9VDM7O9uojxAT60XrhOhr\nLqyVcfU4jtQcwccXP+YUdfOc5uHHy3+MlIgUKuruorcXOHgQqKgQa4u63l45AgLYYcPu7lb9I5fM\nkFwuR3Z2ttG+n1V37Iz5L4oQQuaC6q5q5Fblom9M9+imjdgGiaGJWBu4lkaY3AXDABcuAEePsuNM\nxGJ2np+9PTtsOPL73WqZTHOP70Lmqol5u/v27TPK99PrjF1dXR1ef/11XL58GYODg7ovFonQ0NBg\nlESMjc7YEUKI/gbHB3Gk5giudlzlxMPdw7E9ajs87D14ykzYenvZQcOTh0d0ddXj9u0aREYmQfJ9\nHTw2Voynn45AdDRtxZK7M+scu7Vr1yIiIgKPP/74HXfFCvWxfyrsCCHk/hiGwaW2SzhaexSjqlFt\n3MHGASnhKVjiu4RGmNzF1C7dBC8v4IEHgOHhehQX12J8XAyZTIOkpHAq6sg9mbWwc3FxQU9PDyQS\ny2nBU2FHDDGXZ5MRw1jTWuka7kJOVQ4UvQpOfKnvUqREpMDBxoGfxASup4ft0t26pYuJRMD69UBi\nImBjo4tb03ohpmXWp2I3btyIS5cuYeXKlbN+QUIIIfxSa9Q42XgSpfWlUGlU2ri7nTsyojIQ7hHO\nY3bCxTDA+fNAYeGdXboHH2SvBSOEb3p17F588UX84x//wMMPP8y5K1YkEuGtt94yaYIzRR07Qgi5\nU2NfI3KqctAxpLt9XiwSY33QemwK2QQbic09vnru6ukBvv0WUCh0MZEI2LCB7dJJrfpRRGIOZu3Y\nDQ0NISMjA0qlEk1NTQDYcxl07oIQQizDqGoUxXXFON9yHgx0Pzz8nf2RFZ2FeU7zeMxOuBgGOHeO\n7dIpdfOZ4e3NdukCAvjLjZC70auw279/v4nTMI3s7GztY8SE3AudgyH6ssS1crPzJg5XHcbA+IA2\nJpPIsGX+FqwOWA2xiOar3U13N3uWbmqXLj4e2LRJvy6dJa4XYl5yudyo8zGnXZYKhUJ7R2xdXd10\nfwxhYWFGS8bYaI4dIWQu6x/rR351Pm503uDEIz0isT1qO9zs6Pb5u2EY4OxZoKiI26Xz8WGfeKUu\nHTEms82xc3Z2xsAA+9udWHz33+ZEIhHUk+9MERA6Y0cImasYhsH5lvMoqivCmHpMG3eSOSEtIg2x\n3rF0lGYa3d3sWbr6el1MLGa7dBs30lk6YjpmHXdiiaiwI4TMRR1DHcipzEFjfyMnvtxvOZLDkmFv\nYz/NV85tDAOcOQMUF9/ZpXvwQcDfn7/cyNxg1ocnCLF2dA6G6Euoa0WlUaGsvgwnGk5Azeh2Ujzt\nPZEZnYlQt1D+khO4ri62Szf5IiVjdemEul6I9aLCjhBCLFx9bz1yqnLQOdypjYlFYsQHx2NjyEZI\nxfRWfzcaja5Lp9KN84OvL9ul8/PjLzdCZoq2YgkhxEKNKEdQWFeIi60XOfEglyBkRmfCx9GHp8yE\nr6sL+N//BRon7ViLxUBCAtuls6CLloiVoK1YQgiZoxiGwfXb15Ffk4/B8UFt3FZii61hW7HSfyU9\nHDENjQY4fRooKeF26ebNY594pS4dsXQGF3YajYbz8XRPzBJiSegcDNEX32ulb7QPh6sPo6qrihNf\n4LUA6ZHpcLF14Skz4evsZLt038/ZB8B26TZuZDt1pujS8b1eyNyjV2F34cIFvPTSS6ioqMDo6Kg2\nLuRxJ4QQYk00jAZnm8+i5FYJxtW6i0qdZc5Ij0xHjHcMj9kJ2726dA8+yP6VEGuh1xm7RYsWISsr\nC0888QQcHBw4n5sYYiw0dMaOEGIt2gbbkFOZg+aBZk58lf8qJIUlwU5qx1Nmwne3Lp1Ewnbp4uPp\nLB0RDrPOsXNxcUFfX59Fndmgwo4QYumUaiWO1x/HqcZT0DC6YzDeDt7IjM5EsGswj9kJm0YDlJcD\nx45xu3R+fmyXzteXv9wIuRtj1S16HZB76KGHUFBQMOsXM7fs7Gyj3r9GrBetE6Ivc62Vup46/OX8\nX3Ci4YS2qJOIJNgyfwt+uvKnVNTdw+3bwCefAIWFuqJOIgG2bAF+/GPzFnX03kLuRy6XG/UKVL3O\n2I2MjOChhx5CQkICfCf9FyESiXDgwAGjJWNsdFcsIcTSDCuHUVBTgIr2Ck48xDUEmdGZ8HLw4ikz\n4dNogFOn2C7d5OPf1KUjQma2u2Inm65AEolE2Lt3r1ESMTbaiiWEWBKGYfBdx3c4UnMEw8phbdxO\naodt4duwbN4yizoOY24dHeztEc2TjiFKJEBiIrB+PZ2lI8JHd8XeBxV2hBBL0TPSg9yqXNT21HLi\nC70XIi0yDU4yJ54yEz6NBjh5EpDLuV06f3+2S+dDM5qJhTD7gOJjx47hwIEDaG5uRmBgIJ544gls\n2bJl1gkQIgQ0a4roy5hrRcNoUN5YDrlCDqVGd/O8q60rtkdtR5RnlFFex1p1dLBPvLa06GITXboN\nG9gZdXyj9xZibnot+48//hg/+tGP4Ofnh4cffhjz5s3DY489hr/+9a+mzo8QQqxSy0AL/nrhryis\nK9QWdSKIsDZwLV5c/SIVdfegVgOlpcCHH3KLuoAA4Pnn2WHDQijqCOGDXluxkZGR+Oabb7B06VJt\n7MqVK3j44YdRU1Nj0gRnirZiCSFCNK4ex7Fbx3C66TQY6N6jfB19kRWdhQCXAB6zE772drZL19qq\ni0kkwObN7Fk6KuiIpTLrGTtPT0+0trZCJpNpY2NjY/D390dXV9eskzAFKuwIIUJT3VWNw9WH0Tva\nq41JxVIkhiZiXeA6SMR0wn86ajVw4gTbqZt8li4ggD1L5+3NX26EGINZ59ht2LABr7zyCoaGhgAA\ng4OD+MUvfoH169fPOgFChIBmTRF9zWStDI4P4pvr3+A/v/tPTlEX5h6GF1a9gPjgeCrq7qGtDfj4\nY+4YE6kUSE4Gnn1W2EUdvbcQc9Pr4YkPPvgAO3bsgKurKzw8PNDd3Y3169fj73//u6nzI4QQi8Uw\nDC63XcbR2qMYUY1o4w42DkgJT8ES3yU0wuQeJrp0x4+zT79OCAxku3ReNNKPkDsYNO6ksbERLS0t\n8Pf3R1BQkCnzmjXaiiWE8KlruAs5VTlQ9Co48aW+S7EtfBscZY78JGYh2trYs3RtbbqYVMreHrF2\nLZ2lI9bH5GfsGIbR/iapmfyr0hRigf7XRYUdIYQPao0aJxtPorS+FCqN7pJSdzt3ZERlINwjnMfs\nhE+tBsrK2LN0k3/0BAUBDzxAXTpivUw+x87FxQUDAwPsH5Le/Y+JRCKoJ59iJcRC0awpoq97rZWm\n/iYcqjyEjqEObUwsEmNd4DpsCt0EmUR2168jrNZWtkvX3q6LSaVAUhKwZo1ldunovYWY27SF3bVr\n17R/X1dXZ5ZkCCHEEo2pxlB8qxjnms9xRpj4O/sjMyoTfs5+PGYnfBNz6crKuF264GC2S+fpyV9u\nhFgavc7Y/fa3v8UvfvGLO+LvvvsuXnnlFZMkNlu0FUsIMYebnTeRV52H/rF+bcxGbIMt87dgTeAa\niEUW2GYyo5YW9o7XyV06Gxu2S7d6tWV26QiZCbPOsXN2dtZuy07m7u6Onp6eWSdhCiKRCHv37kVi\nYiK1wQkhRjcwNoD8mnxcv32dE4/0iMT2qO1ws3PjKTPLoFKxXboTJ6hLR+Y2uVwOuVyOffv2mb6w\nKykpAcMwyMzMRG5uLudztbW1ePvtt1FfXz/rJEyBOnbEEHQOhtxPZU0lii4U4frV63AMcoTKRQWX\neS7azzvaOCItMg0LvRfSCJP7aGlhz9J16I4iwsYG2LqV7dJZ078+em8h+jL5wxMAsGvXLohEIoyN\njeHZZ5/lvLivry/ef//9WSdACCFCV1lTif3H9kMVosJlXIaNzAaqqyrEaeLg5e+FZfOWYVv4Ntjb\n2POdqqCpVOxMupMnuV26kBC2S+fhwV9uhFgLvbZid+7ciS+++MIc+RgNdewIIcbyh7//ARdsL6Cp\nv4nzcIRPuw/+30/+H+a7z+cxO8vQ3Mx26W7f1sWstUtHyEyYpWM3wdKKOkIIMQaGYfBdx3coUZSg\n30/3cIQIIgS7BmOJbAkVdfehUgFyOdulm/wzKzQUyMqiLh0hxqZXYdfX14fs7GwcP34cXV1d2oHF\nIpEIDQ0NJk2QEHOgczBkqrbBNuRV56GhrwEqtW7QsLJWiXUJ6+Akc4K9krZe76WpiX3idXKXTiZj\nu3SrVs2NLh29txBz06uwe/HFF9HY2Ig333xTuy37m9/8Bj/4wQ9MnR8hhJjViHIEJbdKcL7lvHbb\nNSwsDDcqbyBqVRSGe4bhJHPCWPUYkjYn8ZytMKlUwLFjwKlTd3bpHngAcHfnLTVCrJ5eZ+y8vb1x\n48YNeHl5wdXVFX19fWhubkZmZiYuXrxojjwNRmfsCCGG0DAaXGq9hOJbxRhWDmvjEzdH+Kp8caLi\nBMY145CJZUhanoToiGgeMxampib2LF1npy4mkwHJycDKlXOjS0fITJj1jB3DMHB1dQXAzrTr7e2F\nn58fqqurZ50AIYTwrbGvEfk1+WgZaOHEw93DkRaZBi8H9oLSJdFL+EjPIiiV7Fm6qV26+fPZs3TU\npSPEPPQq7JYsWYLS0lIkJSUhPj4eL774IhwdHREdTb+tEutA52DmpsHxQRTVFeFy22VO3M3ODakR\nqYj2jL5jJh2tlTs1NrJn6aZ26bZtA1asmNtdOlovxNz0Kuw++ugj7d//8Y9/xGuvvYa+vj4cOHDA\nZIkRQoipqDVqnG0+C7lCjjH1mDYuFUsRHxyPDUEbYCOx4TFDy6BUsmfpysu5XbqwMLZL50aXbxBi\ndnqdsTtz5gzWrFlzR/zs2bNYvXq1SRKbLTpjRwi5m7qeOuRX5+P28G1OPMYrBikRKXQVmJ4aGtgu\nXVeXLmZry3bpli+f2106QmZCEHfFenh4oLu7e9ZJmAIVdoSQyfpG+1BQW3DH3a5eDl5Ii0hDuEc4\nT5lZFqUSKCkBTp/mdunCw9ku3ffHsQkhBjLLwxMajUb7IprJ97+AvStWKtVrJ5cQwaNzMNZLpVHh\nVOMplNWXQalRauMyiQyJoYlYE7AGErFE7+83l9dKQwP7xOvk3+dtbYGUFGDZMurS3c1cXi+EH/es\nzCYXblOLOLFYjNdff900WRFCyCwxDIOqriocqTmCntEezueW+C5BclgynG2decrOsiiVQHExcOYM\nt0sXEQFkZlKXjhAhuedWrEKhAABs3LgRZWVl2u6dSCSCt7c3HBwczJLkTNBWLCFzV9dwF47UHEF1\nN3ck0zyneUiPTEewazBPmVme+nr2LN3ULl1qKhAXR106QozFrGfsLBEVdoTMPePqcZTVl+FU4ymo\nGbU2bi+1x5b5W7DCfwXEIjGPGVqO8XG2S3f27J1duqwswMWFv9wIsUZmHVC8c+fOuyYAgEaeEKtA\n52AsG8MwuHb7Go7WHkX/WL82LoIIK/xXYMv8LXCwMc4Ow1xYKwoF26XrmbSDbWfHnqWjLp1h5sJ6\nIcKiV2EXHh7OqSTb2trwX//1X3j88cdNmhwhhNxP+2A78mvyoehVcOKBLoFIj0yHv7M/P4lZoPFx\noKiI7dJNFhnJnqWjLh0hwjfjrdjz588jOzsbubm5xs7JKGgrlhDrNqoaxbFbx3Cu5Rw0jO6pfSeZ\nE7aGbcVS36V33BpBpjddly41FVi6lLp0hJga72fsVCoV3N3d7zrfTgiosCPEOjEMg8ttl1FUV4Qh\n5ZA2LhaJsSZgDTaFboKd1I7HDC3L+DhQWAicO8eNR0UBGRnUpSPEXMx6xq64uJjzm+/Q0BC+/PJL\nLFy4cNYJGKq/vx9bt27FjRs3cObMGcTGxpo9B2J96ByMZWjub0ZedR6aB5o58TD3MKRFpMHb0dvk\nOVjTWrl1i+3S9fbqYnZ2QFoasGQJdemMwZrWC7EMehV2zz77LKewc3R0RFxcHP7+97+bLLHpODg4\nIC8vD//3//5f6sgRMkcMjQ+h+FYxLrZe5MRdbV2REpGCGK8Y2nY1wNgYe5ZuapcuOprt0jnTeD9C\nLJZehd3EPDshkEql8PLy4jsNYmXoN2ph0jAanGs+h2OKYxhVjWrjUrEU64PWIz44HjKJzKw5Wfpa\nqasDDh3iduns7dku3eLF1KUzNktfL8Ty6H0nWG9vLw4fPoyWlhb4+/sjPT0d7u7upsyNEDKHKXoV\nyK/OR/tQOyce7RmNlIgUeNh78JSZZRobY8/SnT/PjVOXjhDrotekzpKSEoSGhuK9997DuXPn8N57\n7yE0NBRFRUUGvdif/vQnrFy5EnZ2dnjmmWc4n+vu7sZDDz0EJycnhIaGcrZ5f//732Pz5s343e9+\nx/ka2nohxiKXy/lOgXyvf6wf31z/Bvsv7+cUdZ72nnh88eN4dPGjvBZ1lrhWamuBP/+ZW9TZ2wM/\n+AGwYwcVdaZkieuFWDa9OnYvvvgi/vrXv+KRRx7Rxr7++mu89NJLuHnzpt4vFhAQgD179qCgoAAj\nIyN3vIadnR06Ojpw6dIlbN++HUuXLkVsbCx+9rOf4Wc/+9kd34/O2BFiPVQaFU43nUZpfSnG1ePa\nuI3YBptCN2Ft4FpIxXpvMhCwXbqjR4ELF7jxBQvYLp2TEz95EUJMR69xJ25ubujq6oJEItHGlEol\nvL290Tv5oIae9uzZg6amJnz22WcA2KdsPTw8cO3aNURERAAAnnrqKfj7++Odd9654+vT09NRUVGB\nkJAQPP/883jqqafu/AcTifDUU08hNDRU+88QFxenPe8w8VsUfUwf08f8f3zw24M423wWHrFsJ05x\nWQEAyNiWgW3h23Cx/KKg8rWEj5ubgY6ORPT1AQoF+/nY2ESkpwO3b8shEgkrX/qYPp5rH0/8/cRz\nDJ9//rn55tjt3r0bERERePnll7Wx9957D9XV1Xj//fcNftE33ngDzc3N2sLu0qVLiI+Px9CQbibV\nu+++C7lcjkOHDhn8/QGaY0eIJege6UZBTQEquyo5cR9HH6RHpiPULZSfxCzY6CjbpbvIfYAYMTHA\n9u3UpSNEqMw6x+7ixYv44IMP8Otf/xoBAQFobm5GR0cH1qxZg4SEBG1CpaWler3o1LNxg4ODcJky\nBdPZ2Vmww4+J9ZHL5drfpojpKdVKlDWU4VTjKag0Km3cTmqHzaGbsSpgFcQiMY8ZTk/Ia6Wmhn3i\ntV93XS4cHNiCLjaWnnjlg5DXC7FOehV2zz33HJ577rl7/hlDHmSYWpE6OTmhf/I7EYC+vj4404le\nQqwKwzC40XkDBTUF6Bvr43xuud9yJM1PgqPMkafsLNfoKFBQAFy6xI3HxrJFnSP9KyVkztCrsHv6\n6aeN+qJTi8CoqCioVCrU1NRoz9hVVFRg0aJFs3qd7OxsJCYm0m9L5L5ojZje7aHbyK/JR11PHSce\n4ByA9Mh0BLgE8JSZYYS2VqqrgZycu3fpeLgciEwhtPVChEcul3PO3c2W3nfFlpaW4tKlS9pzcAzD\nQCQS4bXXXtP7xdRqNZRKJfbt24fm5mZ89NFHkEqlkEgkePTRRyESifDxxx/j4sWLyMjIQHl5OWJi\nYmb2D0Zn7AgRhFHVKI4rjuNM8xloGI027mjjiKSwJCybt4xGF83A6Chw5Ahw+TI3vnAhkJ5OXTpC\nLI1Zz9jt3r0bX331FRISEmBvbz/jF/vVr36Ft956S/vxwYMHkZ2djTfffBN//vOfsWvXLvj4+MDL\nywsffPDBjIs6QgxF52CMj2EYVLRXoKiuCIPjg9q4WCTGKv9V2Dx/M+ykdjxmODNCWCtVVWyXbvIx\nZEdH3Vk6IhxCWC9kbtGrY+fu7o5r167B39/fHDkZBXXsiCHozde4WgdakVedh8b+Rk481C0UaRFp\n8HXy5Smz2eNzrYyMsGfppnbpFi1iu3QODrykRe6B3luIvoxVt+hV2C1ZsgQlJSUWdUcrFXaEmN+w\nchglt0pwoeUCGOj++3OxdcG28G1Y6L2Qtl1nqLISyM29s0uXkcGOMiGEWDazbsV+8skneO655/DY\nY4/B15f7m/bGjRtnnYSp0MMThJiHhtHgQssFlNwqwYhKd6uMRCTBuqB12BiyETKJjMcMLdfICHuW\nrqKCG1+8GEhLoy4dIZaOl4cnPvjgA7z88stwdna+44xdY2PjNF/FL+rYEUPQdsnMNfQ1IK86D22D\nbZx4pEckUiNS4engyVNmpmHOtVJZyZ6lG9QdUYSTE3uWjrp0loHeW4i+zNqxe/3115Gbm4vk5ORZ\nvyAhxDoMjA2gsK4QV9qvcOLudu5IjUhFlGcUbbvO0PAw26W7wv1XiyVLgNRU6tIRQqanV8cuODgY\nNTU1kMksZyuFOnaEmIZao8aZ5jOQK+QYV49r4zZiGySEJGB90HpIxXr9zkju4uZN9izd1C5dRgaw\nYAF/eRFCTMusD0/s378fZ8+exZ49e+44YycWC/PaHyrsCDG+2u5a5Nfko3O4kxOP9Y5FSngKXO1c\necrM8g0PA/n5wHffceNLl7JdullMmiKEWACzFnbTFW8ikQhqtXrWSZiCSCTC3r176eEJohc6B3Nv\nvaO9KKgpwI3OG5y4t4M30iLTEOYexlNm5meKtXLjBtul+37+OwDA2Znt0kVHG/WliJnRewu5n4mH\nJ/bt22e+M3Z1dXX3/0MClJ2dzXcKhFg0pVqJk40ncaLhBFQalTZuK7FFYmgiVgeshkQs4TFDyzY8\nDOTlAVevcuPUpSNk7phoQO3bt88o30/vK8UAQKPRoL29Hb6+voLdgp1AW7GEzBzDMLjZeRMFtQXo\nHe3lfC5uXhy2hm2Fk8yJp+ysw/XrwOHDd3bpMjOBqCj+8iKE8MOsT8X29/fjpZdewpf7OtnjAAAg\nAElEQVRffgmVSgWpVIodO3bg/fffh6srnakhxJp0DncivzoftT21nLifkx/SI9MR5BrEU2bWYWiI\n7dJdu8aNx8UBKSnUpSOEzI5ebbfdu3djaGgIV69exfDwsPavu3fvNnV+hJiFMYdDWqox1RgKawvx\nl3N/4RR1DjYOyIzKxHMrnqOiDrNbK9euAX/+M7eoc3EBHn8cePBBKuqsEb23EHPTq2N35MgR1NXV\nwdHREQAQFRWF/fv3Iyxs7hyYJsRaMQyD7zq+Q2FtIQbGdfdViSDCSv+V2DJ/C+xtqOKYjaEhdtv1\n+nVufNkytktnZ8dPXoQQ66NXYWdvb4/bt29rCzsA6OzshJ3A343oSjGir7m6RtoG25BXnYeGvgZO\nPNg1GOmR6ZjnNI+nzITLkLXCMLqzdMPDuriLC5CVBUREGD8/Iixz9b2F6I+XK8XefvttfP755/j5\nz3+OkJAQKBQK/P73v8fOnTuxZ88eoyVjTPTwBCHTG1GOoORWCc63nAcD3X8nzjJnJIcnY7HPYro1\nYpYGB9mzdFO7dMuXA9u2UZeOEMJl1jl2Go0G+/fvx3/+53+itbUV/v7+ePTRR7Fr1y7BvvlTYUcM\nMVdmTWkYDS61XkLxrWIMK3UtJLFIjHWB67AxZCNspbY8Zih891srDMOeocvL43bpXF3ZJ16pSze3\nzJX3FjJ7Zn0qViwWY9euXdi1a9esX5AQwo/Gvkbk1+SjZaCFEw93D0daZBq8HLx4ysx6DA6y2643\nuHOcsWIFkJxMXTpCiOnp1bHbvXs3Hn30Uaxfv14bO3XqFL766iv84Q9/MGmCM0UdO0JYg+ODKKor\nwuW2y5y4m50bUsJTsMBrgWA775aCYdghw3l5wMiILu7qyp6lCw/nLzdCiGUw61asl5cXmpubYWur\n26IZHR1FUFAQbt++PeskTIEKOzLXqTVqnG0+C7lCjjH1mDYuFUsRHxyPDUEbYCOx4TFD6zAwwHbp\nbt7kxleuZLt0trSzTQjRg9m3YjUaDSem0WiocCJWw9rOwdzquYW86jzcHub+4hXjFYOUiBS42bnx\nlJnlm1grDAN89x2Qn8/t0rm5sV06mgZFAOt7byHCp1dhFx8fjzfeeAO/+c1vIBaLoVarsXfvXiQk\nJJg6v1mhcSdkrukb7UNBbQGu3+Y+iunl4IW0iDSEe9CeoDEMDAC5uUBlJTe+ahWwdSt16Qgh+uNl\n3EljYyMyMjLQ2tqKkJAQNDQ0wM/PDzk5OQgKEuYketqKJXOJSqPCqcZTKKsvg1Kj1MZlEhk2hWzC\n2sC1kIglPGZo+Sor61FYWIv6ejEqKzUIDg6Hl1cIALZL98ADwPz5PCdJCLFYZj1jBwBqtRpnz55F\nY2MjgoKCsGbNGojFet1Ixgsq7MhcUdVVhfzqfPSM9nDiS3yXIDksGc62zjxlZj0qK+vx0Uc1uHUr\nCV1dbEylKkZcXATS0kKQnAzIZPzmSAixbGYv7CwNFXbEEJZ4DqZruAtHao6guruaE5/nNA/pkekI\ndg3mKTPr88YbJThzZguUSqC3Vw43t0TY2QHr15fgzTe38J0eETBLfG8h/DDrwxOEEOEYV4+jrL4M\npxpPQc2otXF7qT22zN+CFf4rIBYJt5tuScbGgCNHgPPnxVDqdrgREMA+HOHiQv+eCSHCQoUdIbCM\n+xwZhsG129dwtPYo+sf6tXERRFjutxxJYUlwsHHgMUPrUl8P/M//AL29gFjMTgWwtQU2bUqEuzv7\nZ2QyzT2+AyGW8d5CrMt9CzuGYXDr1i0EBwdDKqU6kBA+tA+2I78mH4peBSce6BKI9Mh0+Dv785OY\nFVKpgGPHgFOn2MHDABAWFo6WlmLExCTB5vvRf2NjxUhKovvBCCHCct8zdgzDwNHREYODg4J+WGIq\nOmNHDCHUczCjqlEcu3UM51rOQcPoukNOMidsDduKpb5L6dYII2pvB/77v9m/TrCzAzIyABubehQX\n1+L69SuIjV2CpKRwREeH8JcssQhCfW8hwmO2M3YikQjLli1DZWUlYmJiZv2ChJD7YxgGl9suo6iu\nCEPKIW1cLBJjTcAabArdBDspXTxqLAwDlJcDxcWAWndsEeHh7BgTFxcACEF0dAjkcjH9oCaECJZe\ne6ubN29GWloann76aQQFBWmrSpFIhF27dpk6xxmjAcVEX0JaI839zcirzkPzQDMnPt9tPtIi0+Dj\n6MNTZtapr489S6dQ6GJSKXsd2OrVwNSGqJDWChE+Wi/kfngZUDyxMO+25XPs2DGjJWNMtBVLLM3Q\n+BCKbxXjYutFTtzV1hUpESmI8YqhbVcjYhjgyhUgL499+nWCnx/w8MOAtzd/uRFC5h6aY3cfVNgR\nQ/B5DkbDaHCu+RyOKY5hVDWqjUvFUqwPWo/44HjIJDT91piGh9krwa5PunlNJAISEoBNmwDJPS7p\noDNTxBC0Xoi+zD7HrqurC4cPH0ZbWxt++ctform5GQzDIDAwcNZJEDJXKXoVyK/OR/tQOyce7RmN\nlIgUeNh78JSZ9aqpAb79lr3vdYKHB/DQQ4BAb0gkhBC96dWxO378OH7wgx9g5cqVOHnyJAYGBiCX\ny/G73/0OOTk55sjTYNSxI0LWP9aPo7VHcbXjKifuYe+BtIg0RHpG8pSZ9VIqgaNHgXPnuPEVK4CU\nFLoSjBDCL7NuxcbFxeG3v/0ttm7dCnd3d/T09GB0dBTBwcHo6OiYdRKmQIUdESKVRoXTTadRWl+K\ncfW4Nm4jtsGm0E1YG7gWUjHNizS25mZ2jMnEPa8A4OjIPvEaFcVfXoQQMsGsW7H19fXYunUrJ2Zj\nYwP15LkAhFgwc5yDqe6qxpGaI+ga6eLEF/kswrbwbXCxdTHp689FajVQVgaUlgKaSZdELFgAZGay\nxZ2h6MwUMQStF2JuehV2MTExOHLkCFJTU7Wx4uJiLF682GSJEWItuke6UVBTgMquSk7cx9EH6ZHp\nCHUL5ScxK9fVxXbpmidNjbG1BVJTgbi4O8eYEEKINdBrK/b06dPIyMhAeno6vv76a+zcuRM5OTn4\n9ttvsXr1anPkaTDaiiV8U6qVKGsow6nGU1BpVNq4ndQOm0M3Y1XAKohFlnObi6VgGOD8efY8nVKp\niwcHsw9ITNzzSgghQmL2cSfNzc04ePAg6uvrERwcjCeeeELQT8RSYUf4wjAMbnTeQEFNAfrG+jif\nW+63HEnzk+Aom8EeILmvgQHg0CGguloXk0iAzZuB9esBC7oVkRAyx/Ayx06j0aCzsxPe3t6CH5RK\nhR0xhLHOwdweuo38mnzU9dRx4gHOAUiPTEeAS8CsX4Pc3fXr7Gy64WFdzMeHHTY8b57xXofOTBFD\n0Hoh+jLrwxM9PT3453/+Z3z11VdQKpWwsbHBD3/4Q7z33nvw8BDunC26UoyYy6hqFMcVx3Gm+Qw0\njO6UvoONA7aGbcWyecsE/8uQpRodBfLzgYoKbnzdOiApib0ejBBChIqXK8UefPBBSKVS/OpXv0Jw\ncDAaGhrw5ptvYnx8HN9++63RkjEm6tgRc2AYBhXtFSiqK8Lg+KA2LoIIqwNWIzE0EfY29jxmaN0U\nCvae175JO96ursCDDwLz5/OWFiGEGMysW7Gurq5obW2Fg4ODNjY8PAw/Pz/09fXd4yv5Q4UdMbXW\ngVbkVeehsb+REw9xDUF6ZDp8nXx5ysz6qVRASQlQXs4+LDFh6VIgLQ2ws+MvN0IImQlj1S16HSVe\nsGABFAoFJ1ZfX48FCxbMOgFChMCQNviwchi5Vbn464W/coo6Z5kz/in2n/B03NNU1JlQezvw0UfA\nqVO6os7eHvjhD9mnXk1d1Blzy4RYP1ovxNz0On2yZcsWbNu2DU8++SSCgoLQ0NCAgwcPYufOnfj0\n00/BMAxEIhF27dpl6nwJ4Y2G0eBCywWU3CrBiGpEG5eIJFgXtA4bQzZCJqF7qUxFo2E7dCUl7ODh\nCeHh7NarszN/uRFCiFDotRU78fDB5MPfE8XcZMeOHTNudrNAW7HEmBr6GpBXnYe2wTZOPNIjEqkR\nqfB08OQps7mht5c9S1dfr4vZ2ADJycCqVTRsmBBi+XgZd2JJqLAjxjAwNoDCukJcab/CibvbuSM1\nIhVRnlH0tKsJMQz7tGt+PjA2posHBLDbrl5e/OVGCCHGZNZxJ4RYu6mzptQaNc40n4FcIce4elwb\ntxHbICEkAeuD1kMqpv98TGl4GMjJAW7c0MXEYmDjRiAhgR08zAeaS0YMQeuFmBv9ZCJkitruWuTX\n5KNzuJMTj/WOxbbwbXCzc+Mps7mjuhr49ltgUDdBBp6ebJdOwBfeEEII72grlpDv9Y72oqCmADc6\nb3Di3g7eSItMQ5h7GE+ZzR3j4+wdr+fPc+MrVwLbtgEyejaFEGKlaCuWECOorKlEwbkCVPVUQdGt\nQGhYKLz82YNbthJbJIYmYnXAakjEPO37zSFNTcB//zfQ3a2LOTkBDzwAREbylxchhFgSvTt2N27c\nwNdff4329nb8x3/8B27evInx8XEsWbLE1DnOCHXsyP1cqbyCdw+/izafNrRdbYPbAjeoalSIi43D\n1uVbsTVsK5xkTnynafXUaqC0FCgrY0eaTIiJATIzgUlz0QWBzkwRQ9B6Ifoy64Dir7/+Ghs3bkRz\nczMOHDgAABgYGMArr7wy6wQIMbeWgRYcqjyEN755AwoPBUZVo9rPucW6YZ5yHh5c8CAVdWbQ2Ql8\n8glw/LiuqLO1Zc/SPfKI8Io6QggROr06dgsWLMCXX36JuLg4uLu7o6enB0qlEn5+fujs7Lzfl/OC\nOnZksjHVGK52XMX5lvNoHWwFAJw+cRqjgWxRJxVLEeYeBj8nP7j///buPDrK8t4D+Hcmk8lkm+zb\nBEOAkJCwBJiIUhUCESkXFEkrBY8o0BYPLrfaVYuyFD3WU7X2lqqttQpY4nKOWkF6wQsEcQMzhKAJ\nEAgQloTsZLJOZnnvH28zk2EmMBMm72zfzzmck3neJ/P+Jn1Mf/m9z9IQh8eWPObNcAOeIADffCPO\npzOZbO0jR4pJXSzXpxBRkJF0jl1TU5PTR65yuUsFPyKvqe+oh65eh6MNR+22LQEAOeSIDI1EWnQa\nUqNSrduXKOWcoT+cOjqAjz4CampsbSEhQFERcPPN4pYmREQ0NC79Cp06dSq2bt1q1/buu+9i2rRp\nwxIU0fXoM/fhcP1h/E33N/xV91eU1ZXZJXUKuQL5Kfn41YJfYVL3JIxQj8CFoxcAAIaTBhRNLfJW\n6AGvshJ45RX7pC4lBVi1Cvje9/wjqePZn+QOjheSmksVuz//+c+YM2cO3njjDXR3d+OOO+5AdXU1\ndu/ePdzxXZf169ejsLCQE1eDxKXOS9DVidU5g9ngcD0xIhEFmgLkp+QjPDQcAKCJ0mDP4T1obm1G\ncmMyimYVIScrR+rQA15vL7BzJ3B0wAEeMpmYzM2aBSi4Pp+IglRpaalH/wBweVVsV1cXduzYgdra\nWmRkZGD+/PmI9uFTtznHLjj0mftQ2VgJXb0OF/QXHK4r5ArkJeVBm6ZFRkwGj//ygjNnxEev7e22\ntpgYcS5dZqbXwiIi8ik8K/YamNgFtsauRpTVleFow1G7Va39EsITxOpcaj4iQrm00htMJmDPHuCr\nr+zbJ08Gvv99QKXyTlxERL5I0sUTtbW12LBhA8rLy9E54IwfmUyG6urq6w6CyBVGsxGVTZXQ1elw\nXn/e4XqILAS5Sbko0BRgZMxIt6pz3GvKsy5dEjcbbmy0tUVEAAsWAHl53ovLEzhWyB0cLyQ1lxK7\ne+65B7m5udi4cSNU/DObJNbU1YSyujJUNFQMWp3TarTIT8lHpDLSCxFSP4sF+PJLYN8+cePhfmPH\nAnfdBfjw7A0iooDg0qPYmJgYtLa2IiTEf45V4qNY/2aymFDVVIWyujKcaz/ncD1EFoJxieNQoClA\nZmwm5875gLY24MMPgXMD/ucKDQXmzgW0WnGxBBEROSfpo9gFCxZg//79mD179nXfkOhqmruboavT\n4cilI+gx9Thcj1PFQavRYkrqFFbnfIQgAEeOAP/+N9A3YKvA9HSguBhISPBebEREwcalil1zczOm\nT5+O7OxsJCcn275ZJsM//vGPYQ1wqFix8x8miwnHmo6hrK4Mte21DtflMjnGJY6DNk2L0XGjh6U6\nx3kwQ9PVBWzfDhw/bmuTy4GZM4HbbvOPfencxbFC7uB4IVdJWrFbuXIllEolcnNzoVKprDfn4y+6\nHi3dLdDVi9W5bmO3w/VYVSy0aVpMSZvCc1t90IkTwMcfi8ldv4QEsUqXnu69uIiIgplLFbvo6Ghc\nvHgRarVaipg8ghU732S2mHGs+Rh0dTqcuXzG4bpcJkdOQg60Gi3GxI3hHw8+qK8P2LUL0Ons26dN\nA+bMEefVERGReySt2E2aNAktLS1+ldiRb2ntabXOnesydjlcjwmLsc6diw7j0klfdf68uI1JW5ut\nLToaWLgQyMryXlxERCRyKbGbPXs25s6dixUrViAlJQUArI9iV65cOawBkv8yW8w43nwcunodTred\ndrgugwzZCdko0BRgTPwYyGXem5DFeTBXZzYD+/cDBw6IiyX65eWJe9NFBNEe0Bwr5A6OF5KaS4nd\ngQMHoNFonJ4Ny8SOrtTW02adO9fZ1+lwXR2mxtS0qZiaNhXqMFaBfV1Tk1ilq6+3tYWFAfPnAxMn\nchsTIiJfwiPFyCPMFjOqW6pRVleGmrYah+syyDA2YSy0aVqMTRjr1eocuUYQgEOHgE8/FY8H6zdq\nFHD33eJ5r0RE5BnDPsdu4KpXi8Uy6BvIA3E/A3LZ5d7LOFx/GIfrDzutzkUro63VuRgVMwF/odcD\nH30EnB7wBD0kBLj9duDmm1mlIyLyVYMmdmq1Gh0dHWInhfNuMpkM5oHnBlFQsAgWW3WutQYC7P/C\nkEGGrPgsaDVaZCdk+0V1jvNgbL77DtixA+gdcHpbaqq4jcmAbSyDFscKuYPjhaQ2aGJXWVlp/fr0\naceJ7xR82nvbrdW5jr4Oh+tRyihrdS5WFeuFCOl69PQAO3cC335ra5PJgFtuAQoLgUH+viMiIh/i\n0hy7F154Ab/85S8d2l966SX8/Oc/H5bArhfn2HmGRbDgZMtJ6Op1ONly0ml1bkz8GGjTxOpciNx/\nzhMmm9OnxUever2tLTYWWLQIGDnSe3EREQULT+UtLm9Q3P9YdqC4uDi0DdzQyocwsbs+eoPeWp3T\nG/QO16OUUZiSOgVT06YiLjzOCxGSJxiNwJ49wNdf27dPmQJ8//vi6lciIhp+kmxQvHfvXgiCALPZ\njL1799pdq6mp4YbFAcYiWFDTWoOyujJUt1Q7VOcAYHTcaBRoCpCTkBNQ1blgnAdTXy9uY9LUZGuL\niADuvBPIzfVeXL4uGMcKDR3HC0ntqondypUrIZPJYDAY8OMf/9jaLpPJkJKSgj//+c/DHuCVDh06\nhMceewyhoaFIT0/Hli1bBl3cQa7pMHRYq3PthnaH65GhkZicOhlajRbx4fFeiJA8yWIBvvgC2LdP\n/LpfdjZw111AFI/lJSLyWy49il22bBm2bt0qRTzXdOnSJcTFxSEsLAy//e1vodVq8YMf/MChHx/F\nXp0gCKhps1XnLILjljajYkdBq9FiXOI4KORMngNBayvw4Yfi0WD9lEpg7lxg6lRuY0JE5C2SnhXr\nK0kdAKSmplq/Dg0NRUhI4DwOlEJnXyfK68uhq9fhcu9lh+sRoRFidS5Ni4SIBC9ESMNBEIDycuB/\n/xfo67O1jxghbmMSz0IsEVFA8NuTJ2pra7F06VIcOHDAaXLHip2NIAg43XYaunodjjcfd1qdy4zN\nhDZNi9yk3KCszgXyPJjOTmD7duDECVubXC5uYXLrreLX5LpAHivkeRwv5CpP5S2S/krftGkTCgoK\noFKpsGLFCrtrra2tWLRoEaKiopCZmYmSkhLrtT/+8Y+YNWsWXnzxRQCAXq/H/fffj82bN7NidxWd\nfZ34/Nzn+J+D/4OtR7eiqqnKLqkLV4Rj+ojpeGTaI1g+eTkmpkwMyqQukB0/Drz6qn1Sl5gI/OQn\nwIwZTOqIiAKNpBW7Dz/8EHK5HLt27UJPTw/efPNN67WlS5cCAN544w2Ul5dj/vz5+PLLL5GXl2f3\nHiaTCXfddRd++ctfYvbs2YPeK1grdoIg4MzlM9DVidU5s+B4MkhGTAYKNAXIS8pjIhegDAZg1y7g\n8GH79ptuEo8FCw31TlxEROScpPvYedrTTz+NCxcuWBO7rq4uxMfHo7KyEllZWQCABx54ABqNBs89\n95zd927duhWPP/44Jk6cCABYvXo1Fi9e7HCPYEvsuvq6cOTSEejqdWjtaXW4rlKokJ+SD61Gi+RI\nngsVyM6dExdIDNxiMjoauPtuYMwY78VFRESDk3TxhKddGXh1dTUUCoU1qQOA/Px8lJaWOnzvsmXL\nsGzZMpfus3z5cmRmZgIAYmNjMXnyZOtch/739ufXgiBg1JRRKKsrw87dO2GBBZmTxc979shZAMBt\nM25DgaYATZVNUFxUIHlsss/E70uvX375Zb8fH2YzIAiF+OIL4MwZ8XpmZiEmTACio0tx/jwwZozv\nxOuvrwf+XvKFePjat19zvPD1YK/7vz579iw8yScqdgcOHMDixYtRX19v7fP6669j27Zt2Ldv35Du\nEcgVu25jNyouVUBXr0Nzd7PDdZVChUkpk6BN0yIlKsULEfqf0tJS6390/qixUdxs+NIlW5tKBcyf\nD/ynuE0e4u9jhaTF8UKuCqiKXVRUFPR6+2Or2tvbER0dLWVYPk0QBJxrP4eyujJUNVU5nTs3Qj0C\n2jQtJiRPQGgIJ1G5w19/8QqCeBzYnj2AyWRrHz0aWLgQiInxXmyByl/HCnkHxwtJzSuJneyKXVCz\ns7NhMplw6tQp6+PYiooKTJgwwRvh+ZQeYw8qGiqgq9OhqbvJ4XpYSJhYndNokRqV6uQdKFC1twMf\nfQScOWNrUyjExRE33cTNhomIgpGkiZ3ZbIbRaITJZILZbIbBYIBCoUBkZCSKi4uxdu1a/P3vf8fh\nw4exfft2fPXVV9d1v/Xr16OwsNDv/mISBAHn9eehq9OhsqkSJovJoU96dDq0GrE6pwxReiHKwOJP\nj0sEAfjuO+CTT4DeXlt7Wpq42XBSkvdiCwb+NFbI+zhe6FpKS0vt5t1dL0nn2K1fvx6/+93vHNrW\nrl2LtrY2rFy5Ep9++ikSExPx+9//HkuWLBnyvfxxjl2PsQdHG45CV69DY1ejw3VliNI6dy4tOs0L\nEQYuf/nl29MD7NgBVFba2mQycaPhwkKA2zoOP38ZK+QbOF7IVX693YkU/CWxEwQBF/QXoKvXobKx\nEkaL0aFPWlQaCjQFmJA8AWGKMC9ESb6gpkZ89NrRYWuLiwMWLQIyMrwXFxERXT+/XjxBQK+pV6zO\n1enQ0NXgcF0ZosSE5Ako0BRAE63xQoTkK4xG4NNPgUOH7NunTgXmzgXCmOsTEdF/BHRi52tz7ARB\nQF1HHcrqyvBd43dOq3OpUako0BRgYvJEVuck5KuPS+rqxG1MmgfsahMZCdx1F5CT4724gpmvjhXy\nTRwvdC2enmMX8ImdLzCYDPi28VuU1ZXhUuclh+uh8lC76tyVq4Yp+FgswIEDwP794tf9cnLEpC4y\n0nuxERGR5/QXoDZs2OCR9+Mcu2FU11EHXZ0O3zZ+iz5zn8P1lMgUaDVaTEqZBJVC5YUIyRe1tIhH\ngl24YGtTKoHvfx+YMoXbmBARBSLOsfNRBpMB3zV+h7K6MtR31jtcV8gVmJA8Ado0LUaoR7A6R1aC\nAOh0wK5d4ry6fjfcIC6QiI/3XmxEROQfmNh5SH1HPXT1OhxtOOq0OpcUkYQCTQEmpUxCeGi4FyKk\nq/H2PJjOTuBf/wJOnrS1yeXArFnALbeIX5Nv8PZYIf/C8UJSC+jEbrgXT/SZ+/Bd43fQ1elwseOi\nw3WFXIHxSeOh1Whxg/oGVufIqWPHgO3bge5uW1tSkrjZcBq3KyQiCmh+vUGxlIZzjl1DZwPK6spw\ntOEoDGaDw/XEiEQUaAqQn5LP6hwNymAA/v1v4MgR+/abbwaKioBQHvdLRBQ0OMdOYkazUazO1etw\nQX/B4XqILAR5SXko0BQgIyaD1Tm6qtpacYHE5cu2NrUauPtuYPRo78VFRET+jYndNTR2NVqrc72m\nXofrCeEJ0Gq0mJw6GRGhEV6IkDxBqnkwJhOwbx/w5ZfiYol+EycC//VfQDgLvD6Pc6bIHRwvJDUm\ndk4YzUZUNVWhrK4M5/XnHa6HyEKQm5QLbZoWmbGZrM6RSxoaxM2GGwYcNKJSAQsWABMmeC8uIiIK\nHJxjN0BTVxN09TpUXKpAj6nH4Xp8eDy0aWJ1LlLJHWLJNYIAfPUVsGcPYDbb2seMARYuFB/BEhFR\ncOMcOxe4sirWZDFZq3Pn2s85XJfL5MhNzIVWo8Wo2FGszpFbLl8GPvoIOHvW1qZQAHPmANOmcbNh\nIqJgx1WxLrpW5tvc3QxdnQ5HLh1xWp2LU8VZ585FKaOGM1TyAZ6eByMIwNGjwM6d4urXfhqNuNlw\nUpLHbkUS45wpcgfHC7mKFbshMFlMONZ0DLp6Hc5ePutwXS6TIychBwWaAoyOG83qHA1JdzewYwdQ\nVWVrk8mAGTPEfyEh3ouNiIgCW1BU7Fq6W6CrF6tz3cZuh76xqlhMTZuKKalTEB0WLXWoFEBOnRJP\nkOjosLXFx4tVuhtu8F5cRETk21ixc8Gav69BdGo0eqMctymRy+TITsi2VufkMp7ZREPX1wd8+inw\nzTf27VotMHcuoFR6Jy4iIgouAZ3YfaH4AqavTZicNxmJmkQAQExYjFidS5sCdRiXI5LoeubBXLwo\nbmPS0mJri4wUV7xmZ3smPvIdnDNF7uB4IakFdGIHAIosBc6cPoNbJt4CrUaLrJFrcWIAABYGSURB\nVPgsVufII8xm4MAB4LPPAIvF1j5uHHDnnWJyR0REJKWAnmM3+u7RGKsdi5kjZ+LJZU96OyQKIC0t\nYpXu4kVbW1gYMG8ekJ/PbUyIiMg1/dudbNiwwSNz7AI6sVu7dy1kMhmSG5Px0OKHvB0SBQBBAMrK\ngN27AaPR1p6RIS6QiIvzXmxEROS/PLV4IqCfScpkMhhOGlA0tcjboZCPc2VzyI4O4J//BD75xJbU\nhYQAt98OLF/OpC5YeHIjUQp8HC8ktYCeY5fcmIyiWUXIycrxdijk56qqgO3bgZ4Be1knJwPFxUBq\nqvfiIiIiGiigH8UG6EcjCfX2Av/+N1BRYWuTyYDp04HZs8XjwYiIiK4X97EjGmZnzwIffgi0t9va\nYmKAu+8GRo3yWlhERESDCug5dkSuGjgPxmQSF0ds3myf1OXnA6tXM6kLdpwzRe7geCGpsWJHNEBD\ng7iNSUODrS08HFiwABg/3ntxERERuYJz7IggbjD81VfA3r3ixsP9srLEEySieYQwERENI86xc8H6\n9etRWFjI41xoUCdO1OLjj2tw+LAc7e0WjB49BomJIxEaCtxxB1BQwM2GiYho+PRvUOwprNhRUBIE\nYP/+Wrz22ik0NRWhpaUUsbGFMJn2YO7cLKxePRKJid6OknwRz/4kd3C8kKtYsSNyk8UCnD8v7kl3\n7Bjwf/9Xg+5u2+bVMhmQlVWE2Ni9SEwc6cVIiYiIhoaJHQU0iwWorbUlc52dA6/ZFoWnpRUiNxdQ\nqwGzmYvFaXCsvpA7OF5IakzsKOBYLOIedP3JXFeX834qlQVxcUBSEhAbC8j/k88plRbJYiUiIvIk\nzrGjgGA2A2fOiMnc8eNAd7fzfpGRQG4ukJcHGAy12LLlFMLCinD2bCkyMwthMOzB8uVZyMnho1hy\njnOmyB0cL+QqzrGjoGcyAadP25K53l7n/aKjbclcRoatMgeMxPLlwJ49e9HcfBTJyRYUFTGpIyIi\n/8WKHfkVkwk4dUpM5k6cAAwG5/3UajGRy8sDbriBW5YQEZFvY8WOgobRKCZzlZVAdTXQ1+e8X0yM\nmMiNHw+kpzOZIyKi4MPEjnxSXx9w8qRYmauuFpM7Z+LibJU5jWboyRznwZCrOFbIHRwvJDUmduQz\nDAYxiauqEit0gyVz8fFiVS4vD0hNZWWOiIioX0DPsVu3bh2PFPNxvb3iXLmqKqCmRpxD50xioi2Z\nS05mMkdERIGh/0ixDRs2eGSOXUAndgH60fxeT499Mmc2O++XnGybM5eUJG2MREREUuLiCfIr3d3i\nliRVVeIWJZZB9gBOTbXNmZPyrFbOgyFXcayQOzheSGpM7GjYdHWJJz9UVYknQQyWzGk0tmQuPl7S\nEImIiAIKH8WSR3V02JK52lpgsP8JRowQE7ncXHFlKxERUTDjo1jyGXq9LZk7d27wZO6GG2yVuZgY\naWMkIiIKBkzsaEguX7Ylc+fPO+8jk4lHePVX5tRqaWN0B+fBkKs4VsgdHC8kNSZ25LK2NjGRq6oC\nLl503kcmAzIzxWRu3DjxnFYiIiKSBufY0VW1tNiSufp6533kcjGZGz9eTOYiIyUNkYiIyO9xjh0N\nm+ZmMZGrrAQaGpz3kcuB0aNtlbmICGljJCIiIkdM7AiCADQ12SpzjY3O+4WEAGPGiMlcTg4QHi5t\nnMOJ82DIVRwr5A6OF5IaE7sgJQhiNa4/mWtudt5PoQCyssRkLjsbUKmkjZOIiIhcxzl2QUQQxHly\n/clca6vzfqGhwNixYjI3diwQFiZtnERERMGGc+zIJYIA1NXZkrm2Nuf9QkPFilx/MqdUShsnERER\nXT8mdgFIEIALF2zJXHu7835KpThXLi9PfNwaGiptnL6E82DIVRwr5A6OF5IaE7sAYbGIGwVXVYkb\nB+v1zvuFhYmrWPPyxIUQCo4AIiKigBHQc+zWrVuHwsLCgP1ryWIRz2PtT+Y6O533U6nEZG78eGDU\nKCZzREREvqK0tBSlpaXYsGGDR+bYBXRiF4gfzWIBzp61JXNdXc77RUTYKnOjRolblRAREZFv4uKJ\nIGI2A2fOiMnc8eNAd7fzfpGR4pmseXniSRByuaRh+jXOgyFXcayQOzheSGpM7HyUyQScPi0mcydO\nAD09zvtFRYmJXF4ekJHBZI6IiCiY8VGsDzGZgFOnbMmcweC8n1otVubGjwdGjGAyR0RE5O/4KDZA\nGI32yVxfn/N+MTG2ytyIEYBMJm2cRERE5PuY2HlBXx9w8qSYzFVXi8mdM3FxtmROo2EyN5w4D4Zc\nxbFC7uB4IakxsZOIwSAmcVVVYoVusGQuPl58xJqXB6SmMpkjIiIi13GO3TDq7RUfr1ZVATU14hw6\nZxITbZW5lBQmc0RERMGGc+x8VE+PfTJnNjvvl5xsS+aSkpjMERER0fVjYucB3d3i/nJVVeIWJRaL\n836pqWIil5srJnPkOzgPhlzFsULu4HghqTGxG6KuLvHkh6oq8SSIwZK5tDRxzlxuLpCQIGmIRERE\nFGQ4x84NHR22ZK62Fhjs7dPTbY9Z4+I8GgIREREFIM6xk4heb0vmzp0bPJm74QbbY9bYWGljJCIi\nIgKY2DnV3i4mclVVwPnzzvvIZOIRXv3JnFotbYzkWZwHQ67iWCF3cLyQ1JjY/Udbmy2Zu3jReR+Z\nDMjMFJO5ceOA6GhJQyQiIiK6qqCeY9fSYkvm6uud95HL7ZO5qCjPx0pERETBjXPshqi52ZbMXbrk\nvI9cDowebUvmIiKkjZGIiIhoKAI+sRMEoKnJlsw1NjrvFxICjBkjJnM5OUB4uLRxkndxHgy5imOF\n3MHxQlIL6MTuv/97L9TqMVAoRjq9rlCIydz48UB2NqBSSRwgERERkQf53Ry7hoYGFBcXQ6lUQqlU\nYtu2bUhwsvOvTCbDzJkCTKY9mDw5C4mJYnKnUABjx4qVuexsICxM6k9AREREZM9Tc+z8LrGzWCyQ\ny+UAgM2bN6O+vh5PPPGEQ7/+xA4A1Oq9WLZsNvLyxKROqZQ0ZCIiIqKr8lRiJ/dALJLqT+oAQK/X\nI+4qRzskJ4uPWWfOlOOee8SvmdSRM6Wlpd4OgfwExwq5g+OFpOZ3iR0AVFRU4KabbsKmTZuwdOnS\nQfvl5QFJSUB4+CAHuRL9x5EjR7wdAvkJjhVyB8cLSU3SxG7Tpk0oKCiASqXCihUr7K61trZi0aJF\niIqKQmZmJkpKSqzX/vjHP2LWrFl48cUXAQD5+fk4ePAgnnnmGWzcuPGq9zQY9qCoaIznPwwFlMuX\nL3s7BPITHCvkDo4XkpqkiV16ejqefvpprFy50uHaww8/DJVKhcbGRvzzn//E6tWrUVVVBQB4/PHH\nsW/fPvziF7+A0Wi0fo9arYbBYBj0fsnJe7F8eRZycpyvivUFUpTpPXGPob6HO9/nSt9r9bna9UB4\nJDLcn8FT7z+U9/H0WHGlXyCPF/5uca9vMI8VgL9b3O3ry+NF0sRu0aJFWLhwocMq1q6uLnzwwQfY\nuHEjIiIicMstt2DhwoXYunWrw3scOXIEM2fOxOzZs/HSSy/h17/+9aD3e+ih2T6d1AH85etu3+H6\nj+ns2bPXvLcv4C9f9/oOx3jhWPHsPfi7xTfwd4t7fX05sfPKqtinnnoKFy9exJtvvgkAKC8vx623\n3oquri5rn5deegmlpaX4+OOPh3SPrKws1NTUeCReIiIiouE0ZswYnDp16rrfxysbFMtkMrvXnZ2d\nUKvVdm3R0dHo6OgY8j088cMhIiIi8ideWRV7ZZEwKioKer3erq29vR3R0dFShkVERETk17yS2F1Z\nscvOzobJZLKrslVUVGDChAlSh0ZERETktyRN7MxmM3p7e2EymWA2m2EwGGA2mxEZGYni4mKsXbsW\n3d3d+Pzzz7F9+3YsW7ZMyvCIiIiI/JqkiV3/qtfnn38eb7/9NsLDw/Hss88CAF555RX09PQgOTkZ\n9913H1577TXk5uZKGR4RERGRX/O7s2Kvh16vx+23345jx47h4MGDyMvL83ZI5MMOHTqExx57DKGh\noUhPT8eWLVugUHhlvRH5uIaGBhQXF0OpVEKpVGLbtm0O2zoRXamkpAQ/+9nP0NjY6O1QyEedPXsW\nN954IyZMmACZTIb33nsPiYmJV/0evzxSbKgiIiKwc+dO/PCHP/TIQbsU2DIyMrBv3z7s378fmZmZ\n+Ne//uXtkMhHJSUl4YsvvsC+fftw77334vXXX/d2SOTjzGYz3n//fWRkZHg7FPJxhYWF2LdvH/bu\n3XvNpA4IssROoVC49EMhAoDU1FSEhYUBAEJDQxESEuLliMhXyeW2X6V6vR5xcXFejIb8QUlJCRYv\nXuywmJDoSl988QVmzJiBNWvWuNQ/qBI7oqGora3Fp59+ijvvvNPboZAPq6iowE033YRNmzZh6dKl\n3g6HfFh/te5HP/qRt0MhH6fRaFBTU4PPPvsMjY2N+OCDD675PX6Z2G3atAkFBQVQqVRYsWKF3bXW\n1lYsWrQIUVFRyMzMRElJidP34F9JweN6xoter8f999+PzZs3s2IXBK5nrOTn5+PgwYN45plnsHHj\nRinDJi8Z6nh5++23Wa0LMkMdK0qlEuHh4QCA4uJiVFRUXPNefjkTPD09HU8//TR27dqFnp4eu2sP\nP/wwVCoVGhsbUV5ejvnz5yM/P99hoQTn2AWPoY4Xk8mEJUuWYN26dRg7dqyXoicpDXWsGI1GhIaG\nAgDUajUMBoM3wieJDXW8HDt2DOXl5Xj77bdx8uRJPPbYY3j55Ze99ClICkMdK52dnYiKigIAfPbZ\nZxg/fvy1byb4saeeekpYvny59XVnZ6egVCqFkydPWtvuv/9+4YknnrC+njdvnqDRaITp06cLb731\nlqTxkne5O162bNkiJCQkCIWFhUJhYaHw7rvvSh4zeYe7Y+XgwYPCjBkzhFmzZgl33HGHcP78eclj\nJu8Zyv8X9bvxxhsliZF8g7tjZefOnYJWqxVuu+024YEHHhDMZvM17+GXFbt+whVVt+rqaigUCmRl\nZVnb8vPzUVpaan29c+dOqcIjH+PueFm2bBk3yQ5S7o6VadOmYf/+/VKGSD5kKP9f1O/QoUPDHR75\nEHfHyrx58zBv3jy37uGXc+z6XTk/obOzE2q12q4tOjoaHR0dUoZFPorjhVzFsULu4HghV0kxVvw6\nsbsy842KioJer7dra29vR3R0tJRhkY/ieCFXcayQOzheyFVSjBW/TuyuzHyzs7NhMplw6tQpa1tF\nRQUmTJggdWjkgzheyFUcK+QOjhdylRRjxS8TO7PZjN7eXphMJpjNZhgMBpjNZkRGRqK4uBhr165F\nd3c3Pv/8c2zfvp3zpIIcxwu5imOF3MHxQq6SdKx4aqWHlNatWyfIZDK7fxs2bBAEQRBaW1uFu+++\nW4iMjBRGjhwplJSUeDla8jaOF3IVxwq5g+OFXCXlWJEJAjd0IyIiIgoEfvkoloiIiIgcMbEjIiIi\nChBM7IiIiIgCBBM7IiIiogDBxI6IiIgoQDCxIyIiIgoQTOyIiIiIAgQTOyIiIqIAwcSOiOgKy5cv\nx9NPP+3R91y9ejWeeeYZj74nEdGVFN4OgIjI18hkMofDuq/Xq6++6tH3IyJyhhU7IiIneNoiEfkj\nJnZE5FOef/55jBgxAmq1GuPGjcPevXsBAIcOHcL06dMRFxcHjUaDRx99FEaj0fp9crkcr776KsaO\nHQu1Wo21a9eipqYG06dPR2xsLJYsWWLtX1paihEjRuC5555DUlISRo0ahW3btg0a044dOzB58mTE\nxcXhlltuwbfffjto38cffxwpKSmIiYnBpEmTUFVVBcD+8e6dd96J6Oho67+QkBBs2bIFAHD8+HHM\nmTMHCQkJGDduHN5///1B71VYWIi1a9fi1ltvhVqtxty5c9HS0uLiT5qIAhETOyLyGSdOnMBf/vIX\nlJWVQa/XY/fu3cjMzAQAKBQK/OlPf0JLSwu++uor7NmzB6+88ord9+/evRvl5eX4+uuv8fzzz+On\nP/0pSkpKcO7cOXz77bcoKSmx9m1oaEBLSwvq6uqwefNmrFq1CidPnnSIqby8HD/+8Y/x+uuvo7W1\nFQ8++CDuuusu9PX1OfTdtWsXDhw4gJMnT6K9vR3vv/8+4uPjAdg/3t2+fTs6OjrQ0dGB9957D2lp\naSgqKkJXVxfmzJmD++67D01NTXjnnXfw0EMP4dixY4P+zEpKSvDWW2+hsbERfX19eOGFF9z+uRNR\n4GBiR0Q+IyQkBAaDAZWVlTAajcjIyMDo0aMBAFOnTsW0adMgl8sxcuRIrFq1Cvv377f7/l//+teI\niopCXl4eJk6ciHnz5iEzMxNqtRrz5s1DeXm5Xf+NGzciNDQUM2bMwPz58/Huu+9ar/UnYX/729/w\n4IMP4sYbb4RMJsP999+PsLAwfP311w7xK5VKdHR04NixY7BYLMjJyUFqaqr1+pWPd6urq7F8+XK8\n9957SE9Px44dOzBq1Cg88MADkMvlmDx5MoqLiwet2slkMqxYsQJZWVlQqVRYvHgxjhw54sZPnIgC\nDRM7IvIZWVlZePnll7F+/XqkpKRg6dKlqK+vByAmQQsWLEBaWhpiYmKwZs0ah8eOKSkp1q/Dw8Pt\nXqtUKnR2dlpfx8XFITw83Pp65MiR1nsNVFtbixdffBFxcXHWfxcuXHDad9asWXjkkUfw8MMPIyUl\nBQ8++CA6Ojqcftb29nYsXLgQzz77LL73ve9Z73Xw4EG7e23btg0NDQ2D/swGJo7h4eF2n5GIgg8T\nOyLyKUuXLsWBAwdQW1sLmUyG3/zmNwDE7ULy8vJw6tQptLe349lnn4XFYnH5fa9c5drW1obu7m7r\n69raWmg0Gofvy8jIwJo1a9DW1mb919nZiR/96EdO7/Poo4+irKwMVVVVqK6uxh/+8AeHPhaLBffe\ney+Kiorwk5/8xO5eM2fOtLtXR0cH/vKXv7j8OYkouDGxIyKfUV1djb1798JgMCAsLAwqlQohISEA\ngM7OTkRHRyMiIgLHjx93afuQgY8+na1yXbduHYxGIw4cOIBPPvkE99xzj7Vvf/+f/vSneO2113Do\n0CEIgoCuri588sknTitjZWVlOHjwIIxGIyIiIuziH3j/NWvWoLu7Gy+//LLd9y9YsADV1dV4++23\nYTQaYTQa8c033+D48eMufUYiIiZ2ROQzDAYDnnzySSQlJSEtLQ3Nzc147rnnAAAvvPACtm3bBrVa\njVWrVmHJkiV2VThn+85deX3g69TUVOsK22XLluGvf/0rsrOzHfpqtVq8/vrreOSRRxAfH4+xY8da\nV7BeSa/XY9WqVYiPj0dmZiYSExPxq1/9yuE933nnHesj1/6VsSUlJYiKisLu3bvxzjvvID09HWlp\naXjyySedLtRw5TMSUfCRCfxzj4iCTGlpKZYtW4bz5897OxQiIo9ixY6IiIgoQDCxI6KgxEeWRBSI\n+CiWiIiIKECwYkdEREQUIJjYEREREQUIJnZEREREAYKJHREREVGAYGJHREREFCD+HxiurmiM2mt9\nAAAAAElFTkSuQmCC\n", + "text": [ + "" + ] + } + ], + "prompt_number": 40 }, { "cell_type": "markdown", @@ -2726,26 +2887,119 @@ "cell_type": "code", "collapsed": false, "input": [ - "import statistics\n", + "# note that the statistics module is only available\n", + "# in Python 3.4.0 or newer\n", "\n", - "%timeit(statistics.mean(samples))\n", - "%timeit(np.mean(samples))" + "from statistics import mean as st_mean\n", + "from numpy import mean as np_mean\n", + "\n", + "def calc_mean(samples):\n", + " return sum(samples)/len(samples)\n", + "\n", + "samples = list(range(1000000))\n", + "\n", + "%timeit(st_mean(samples))\n", + "%timeit(np_mean(samples))\n", + "%timeit(calc_mean(samples))" ], "language": "python", "metadata": {}, "outputs": [ { - "ename": "ImportError", - "evalue": "No module named 'statistics'", - "output_type": "pyerr", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mImportError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0;32mimport\u001b[0m \u001b[0mstatistics\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mget_ipython\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmagic\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'timeit (statistics.mean(samples))'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0mget_ipython\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmagic\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'timeit (np.mean(samples))'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mImportError\u001b[0m: No module named 'statistics'" + "output_type": "stream", + "stream": "stdout", + "text": [ + "1 loops, best of 3: 1.13 s per loop\n", + "10 loops, best of 3: 141 ms per loop" + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + "10 loops, best of 3: 136 ms per loop" + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n" ] } ], - "prompt_number": 157 + "prompt_number": 48 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "funcs = ['st_mean', 'np_mean', 'calc_mean']\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", + " samples = list(range(n))\n", + " for f in funcs:\n", + " times_n[f].append(min(timeit.Timer('%s(samples)' %f, \n", + " 'from __main__ import %s, samples' %f)\n", + " .repeat(repeat=3, number=1000)))" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 49 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import matplotlib.pyplot as plt\n", + "\n", + "labels = [('st_mean', 'statistics.mean()'), \n", + " ('np_mean', 'numpy.mean()'),\n", + " ('calc_mean', 'sum(samples)/len(samples)')]\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]], \n", + " 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.legend(loc=2)\n", + "plt.grid()\n", + "plt.xscale('log')\n", + "plt.yscale('log')\n", + "plt.title('Performance of different approaches for calculating sample means')\n", + "\n", + "max_perf = max( s/c for s,c in zip(times_n['st_mean'],\n", + " times_n['calc_mean']) )\n", + "min_perf = min( s/c for s,c in zip(times_n['st_mean'],\n", + " times_n['calc_mean']) )\n", + "\n", + "ftext = 'using sum(samples)/len(samples) is {:.2f}x to '\\\n", + " '{:.2f}x faster than statistics.mean()'\\\n", + " .format(min_perf, max_perf)\n", + "plt.figtext(.14,.75, ftext, fontsize=11, ha='left')\n", + "\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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p0iQ+fu1LsT/99BO6d+8OVVVVGBgYYMiQISgsLGxw++pTHT8qKgpGRkbQ1NTE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\nOIaEhNi8RiKafhjYEZFPWbduHQ4fPoymp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+ "text": [ + "" + ] + } + ], + "prompt_number": 51 }, { "cell_type": "markdown", diff --git a/tutorials/scope_resolution_legb_rule.ipynb b/tutorials/scope_resolution_legb_rule.ipynb index cea54a9..b2af45c 100644 --- a/tutorials/scope_resolution_legb_rule.ipynb +++ b/tutorials/scope_resolution_legb_rule.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:9cd21a4de985d02fd65a6682bfb5690a15932533ed143e684fc8403043dfbde2" + "signature": "sha256:134ba1fb10441f1756c0ab8a2ecef528f9c1cfd7543d8df415e2ae855f6891f9" }, "nbformat": 3, "nbformat_minor": 0, @@ -27,7 +27,7 @@ "source": [ "
\n", "I am really looking forward to your comments and suggestions to improve and extend this tutorial! Just send me a quick note \n", - "via Twitter: [@rasbt](https://twitter.com/rasbt) \n", + "via Twitter: [@rasbt](https://twitter.com/rasbt) \n", "or Email: [bluewoodtree@gmail.com](mailto:bluewoodtree@gmail.com)\n", "
" ] @@ -50,7 +50,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "\n", + "\n", "
\n", "
" ] @@ -59,7 +59,15 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "## Sections\n", + "## Sections " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "\n", "- [Introduction to namespaces and scopes](#introduction) \n", "- [1. LG - Local and Global scopes](#section_1) \n", "- [2. LEG - Local, Enclosed, and Global scope](#section_2) \n",