From 82c5cbe71c4a616c5c93f3aff195c4532a011726 Mon Sep 17 00:00:00 2001 From: Roger Labbe Date: Sat, 13 Sep 2014 11:15:40 -0700 Subject: [PATCH] Added animations to Discrete Bayes Beginning of adding animations to the chapters. I wrote the existing material not assuming animations, so it is quite possible that I will want to revise the chapter to better make use of this ability. For now I just animated two different update/predict cycles. --- Chapter02_Discrete_Bayes/discrete_bayes.ipynb | 142 ++++--- .../discrete_bayes_animations.ipynb | 401 +++++++++++++++++- Chapter02_Discrete_Bayes/no_info.gif | Bin 0 -> 295292 bytes Chapter02_Discrete_Bayes/simulate.gif | Bin 0 -> 208052 bytes code/bar_plot.py | 8 +- 5 files changed, 488 insertions(+), 63 deletions(-) create mode 100644 Chapter02_Discrete_Bayes/no_info.gif create mode 100644 Chapter02_Discrete_Bayes/simulate.gif diff --git a/Chapter02_Discrete_Bayes/discrete_bayes.ipynb b/Chapter02_Discrete_Bayes/discrete_bayes.ipynb index 33d28a2..a10df4a 100644 --- a/Chapter02_Discrete_Bayes/discrete_bayes.ipynb +++ b/Chapter02_Discrete_Bayes/discrete_bayes.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:964af9c2a922f3d503dcd4209ea814d6fc6464278774fa2fcf5aa057b4052977" + "signature": "sha256:8e8231b3997b1d22f43983521ca3cca0ced5a69e74e0edeb1b3c2676b1f81c87" }, "nbformat": 3, "nbformat_minor": 0, @@ -259,7 +259,7 @@ "output_type": "pyout", "prompt_number": 1, "text": [ - "" + "" ] } ], @@ -359,7 +359,7 @@ "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAsQAAAF2CAYAAABpv45gAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAACSJogBAEja/wMZsSl3xc+yewAAAABJRU5ErkJggg==\n", "text": [ - "" + "" ] } ], @@ -484,7 +484,8 @@ "pos = update (pos, 1, .6, .2)\n", "\n", "print(pos)\n", - "print('sum =', sum(pos))" + "print('sum =', sum(pos))\n", + "bar_plot.plot(pos)" ], "language": "python", "metadata": {}, @@ -496,6 +497,14 @@ "[ 0.12 0.12 0.04 0.04 0.04 0.04 0.04 0.04 0.12 0.04]\n", "sum = 0.64\n" ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": "iVBORw0KGgoAAAANSUhEUgAAAsQAAAF2CAYAAABpv45gAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nB2kSX4v2hY6CAAAAAElFTkSuQmCC\n", + "text": [ + "" + ] } ], "prompt_number": 7 @@ -533,7 +542,8 @@ "\n", "print('sum =', sum(pos))\n", "print('probability of door =', pos[0])\n", - "print('probability of wall =', pos[2])" + "print('probability of wall =', pos[2])\n", + "bar_plot.plot(pos)" ], "language": "python", "metadata": {}, @@ -546,6 +556,14 @@ "probability of door = 0.1875\n", "probability of wall = 0.0625\n" ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": "iVBORw0KGgoAAAANSUhEUgAAAsQAAAF2CAYAAABpv45gAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAHGlJREFUeJzt3W1wleWd+PFfbDg0D6XCIsFBQB4EcaTCuKQSkNoHxVAf\nVtyqZRroOEunrW47DDo725XuLtMX6wxKuzO2M3SdRbe0teq60ooZcbbFaYPSxYfZ7QZCwgoh3UR5\nWswhnISQ/4tuk3+2kAQ4cJTr83mVc859X/nlGiBfTu5zUrRz586eAACARF1U6AEAAKCQBDEAAEkT\nxAAAJE0QAwCQNEEMAEDSBDEAAEkTxAAAJG3QIH755Zfj7rvvjpkzZ8Zf/uVfDnnhJ598MubNmxeV\nlZXx6KOPntWQAABwrhQPdsCIESPiz/7sz6Kuri6OHTs2pEXfeuuteOyxx+KHP/xhlJeXx5IlS2LG\njBlRXV191gMDAEA+DfoMcWVlZdx4443x0Y9+dMiL1tbWxk033RRTpkyJioqK+NznPhebNm06q0EB\nAOBcGPQZ4t/r6Rn6b3h+++23Y86cOfHEE09Ea2trXHvttfGzn/3sjAYEAIBzacgvqisqKhryoh0d\nHVFaWhrNzc2xZ8+eKCsri6NHj57RgAAAcC6dk2eIS0pK4ujRo/HQQw9FRMTmzZujtLT0pMc2NzcP\neV0AADhT48ePP+n9Qw7i03mG+PLLL4/du3f33m5sbIzJkyef8vgZM2YMee0z9eKLL3pR3/+yF33s\nRR970cde9LEXfexFH3vRx170eb/vRX19/SkfG/SSiRMnTkQul4vu7u7o7u6Ozs7O6O7u7n28pqYm\n1qxZ0++c6urq2Lx5czQ2NkZbW1s8++yz7+sNAgAgXYM+Q/wv//Iv8Y1vfKP39saNG+P++++P+++/\nPyIiWlpa4rLLLut3zsc+9rG47777YunSpXH8+PG45557BDEAAO9Lgwbx4sWLY/Hixad8/F//9V9P\nev/SpUtj6dKlZz5Znk2dOrXQI7xv2Is+9qKPvehjL/rYiz72oo+96GMv+nyQ96Jo586dQ3+13DnQ\n3Nx8Xq4hBgAgXfX19ad8Ud2Q33YNAAAuRIIYAICkCWIAAJImiAEASJogBgAgaYIYAICkCWIAAJIm\niAEASJogBgAgaYIYAICkCWIAAJImiAEASJogBgAgaYIYAICkCWIAAJImiAEASJogBgAgaYIYAICk\nCWIAAJImiAEASJogBgAgaYIYAICkCWIAAJImiAEASJogBgAgaYIYAICkCWIAAJImiAEASJogBgAg\naYIYAICkCWIAAJImiAEASJogBgAgaYIYAICkCWIAAJImiAEASJogBgAgaYIYAICkCWIAAJImiAEA\nSJogBgAgaYIYAICkCWIAAJImiAEASJogBgAgaYIYAICkCWIAAJImiAEASJogBgAgaYIYAICkCWIA\nAJImiAEASJogBgAgaYIYAICkCWIAAJImiAEASNqgQdza2ho1NTUxa9asWLx4cezatWtIC3/729+O\n+fPnx8c//vFYuXJltLe3n/WwAACQb4MG8apVq2L69Omxbdu2qK6ujhUrVgy66MsvvxzPP/98/PM/\n/3P84he/iMOHD8d3v/vdvAwMAAD5NGAQt7e3R11dXSxfvjwymUwsW7YsWlpaoqGhYcBFd+/eHbNn\nz44xY8ZESUlJ3HDDDdHU1JTXwQEAIB8GDOI9e/ZEJpOJ0tLSWLJkSezbty8mTJgQu3fvHnDRuXPn\nxr//+79Ha2trZLPZ+MUvfhE33HBDPucGAIC8GDCIOzo6oqysLLLZbDQ1NcWRI0eirKwsOjo6Blx0\n5syZ8dnPfjZuuOGGmDNnThQXF8ddd92V18EBACAfigd6sKSkJLLZbIwdOzZee+21iIjIZrNRWlo6\n4KIbNmyI7du3x6uvvhqZTCYeeuih+Na3vhV//dd/fdLjH3nkkd6P586dG1VVVaf7dQAAQK+6urrY\nunVr7+1Fixad8tgBg3jixImRy+Wira0tKioqorOzM/bu3RuTJk0acIBXXnklFi5cGBdffHFERNx2\n223xd3/3d6c8fuXKlQOuBwAAp6Oqqqrfk6z19fWnPHbASybKy8tj/vz5sW7dusjlcrF+/foYN25c\nTJs2rfeYmpqaWLNmTb/zJk+eHC+99FIcOXIkcrlcvPjii3HFFVec6dcDAADnzKBvu7Z69epoaGiI\nysrKqK2tjbVr1/Z7vKWlJQ4cONDvvvvvvz8uvfTSWLhwYSxYsCCOHDkSDz30UH4nBwCAPCjauXNn\nTyEHaG5ujhkzZhRyBAAALnD19fUxfvz4kz7mVzcDAJA0QQwAQNIEMQAASRPEAAAkTRADAJA0QQwA\nQNIEMQAASRPEAAAkTRADAJA0QQwAQNIEMQAASRPEAAAkTRADAJA0QQwAQNIEMQAASRPEAAAkTRAD\nAJA0QQwAQNIEMQAASRPEAAAkTRADAJA0QQwAQNIEMQAASRPEAAAkTRADAJA0QQwAQNIEMQAASRPE\nAAAkTRADAJA0QQwAQNIEMQAASRPEAAAkTRADAJA0QQwAQNIEMQAASRPEAAAkTRADAJA0QQwAQNIE\nMQAASRPEAAAkTRADAJA0QQwAQNIEMQAASRPEAAAkTRADAJA0QQwAQNIEMQAASRPEAAAkTRADAJA0\nQQwAQNIEMQAASRPEAAAkTRADAJA0QQwAQNIEMQAASRPEAAAkTRADAJC0QYO4tbU1ampqYtasWbF4\n8eLYtWvXkBauq6uL2267LWbPnh033nhj7Nix46yHBQCAfBs0iFetWhXTp0+Pbdu2RXV1daxYsWLQ\nRfft2xd//ud/Hl/5yldi+/bt8aMf/SjGjBmTl4EBACCfBgzi9vb2qKuri+XLl0cmk4lly5ZFS0tL\nNDQ0DLjoc889FwsWLIjq6uq46KKLYvTo0TFq1Ki8Dg4AAPkwYBDv2bMnMplMlJaWxpIlS2Lfvn0x\nYcKE2L1794CL7ty5M0aMGBF33XVXzJs3L1auXBnt7e15HRwAAPJhwCDu6OiIsrKyyGaz0dTUFEeO\nHImysrLo6OgYcNH33nsvamtrY/Xq1fHyyy9HNpuN73znO3kdHAAA8qF4oAdLSkoim83G2LFj47XX\nXouIiGw2G6WlpQMuWlJSEvPmzYsrr7wyIiLuuuuuAYP4kUce6f147ty5UVVVNeQvAAAA/q+6urrY\nunVr7+1Fixad8tgBg3jixImRy+Wira0tKioqorOzM/bu3RuTJk0acIAJEybE/v37e2/39PRET0/P\nKY9fuXLlgOsBAMDpqKqq6vcka319/SmPHfCSifLy8pg/f36sW7cucrlcrF+/PsaNGxfTpk3rPaam\npibWrFnT77wbb7wxtmzZEg0NDZHL5eKZZ56J66677ky/HgAAOGcGfdu11atXR0NDQ1RWVkZtbW2s\nXbu23+MtLS1x4MCBfvfNmTMn7rvvvrj33ntjwYIFUVpaGl/72tfyOzkAAORB0c6dO099LcN50Nzc\nHDNmzCjkCAAAXODq6+tj/PjxJ33Mr24GACBpghgAgKQJYgAAkiaIAQBImiAGACBpghgAgKQJYgAA\nkiaIAQBImiAGACBpghgAgKQJYgAAkiaIAQBImiAGACBpghgAgKQJYgAAkiaIAQBImiAGACBpghgA\ngKQJYgAAkiaIAQBImiAGACBpghgAgKQJYgAAkiaIAQBImiAGACBpghgAgKQJYgAAkiaIAQBImiAG\nACBpghgAgKQJYgAAkiaIAQBImiAGACBpghgAgKQJYgAAkiaIAQBImiAGACBpghgAgKQJYgAAkiaI\nAQBImiAGACBpghgAgKQJYgAAkiaIAQBImiAGACBpghgAgKQJYgAAkiaIAQBImiAGACBpghgAgKQJ\nYgAAkiaIAQBImiAGACBpghgAgKQJYgAAkiaIAQBImiAGACBpgwZxa2tr1NTUxKxZs2Lx4sWxa9eu\n0/oEX/ziF+MTn/jEGQ8IAADn0qBBvGrVqpg+fXps27YtqqurY8WKFUNefNOmTZHNZqOoqOishgQA\ngHNlwCBub2+Purq6WL58eWQymVi2bFm0tLREQ0PDoAtns9n4/ve/H1/+8pejp6cnbwMDAEA+DRjE\ne/bsiUwmE6WlpbFkyZLYt29fTJgwIXbv3j3owo899ljcfffdUV5enrdhAQAg3wYM4o6OjigrK4ts\nNhtNTU1x5MiRKCsri46OjgEXbWpqildffTXuvvvuvA4LAAD5VjzQgyUlJZHNZmPs2LHx2muvRcTv\nLoUoLS0dcNFvfetbsWLFiiFfO/zII4/0fjx37tyoqqoa0nkAAHAydXV1sXXr1t7bixYtOuWxRTt3\n7jzlBb7t7e1RWVkZP//5z6OioiI6Ozvj4x//eDz11FMxbdq0Uy46Z86ceO+99/p/oqKi+PWvf/0H\nl1A0NzfHjBkzBv2iAADgTNXX18f48eNP+tiAl0yUl5fH/PnzY926dZHL5WL9+vUxbty4fjFcU1MT\na9as6Xfer3/969ixY0fs2LEjnnzyyaioqIj6+nrXEwMA8L4z6NuurV69OhoaGqKysjJqa2tj7dq1\n/R5vaWmJAwcOnPL8np4eb7sGAMD71oCXTJwPLpkAAOBcO+NLJgAA4EIniAEASJogBgAgaYIYAICk\nCWIAAJImiAEASJogBgAgaYIYAICkCWIAAJImiAEASJogBgAgaYIYAICkCWIAAJImiAEASJogBgAg\naYIYAICkCWIAAJImiAEASJogBgAgaYIYAICkCWIAAJImiAEASJogBgAgaYIYAICkCWIAAJImiAEA\nSJogBgAgaYIYAICkCWIAAJImiAEASJogBgAgaYIYAICkCWIAAJImiAEASJogBgAgaYIYAICkCWIA\nAJImiAEASJogBgAgaYIYAICkCWIAAJImiAEASJogBgAgaYIYAICkCWIAAJImiAEASJogBgAgaYIY\nAICkCWIAAJImiAEASJogBgAgaYIYAICkCWIAAJImiAEASJogBgAgaYIYAICkCWIAAJI2pCBubW2N\nmpqamDVrVixevDh27do16DlbtmyJO++8M6699tq44YYb4nvf+95ZDwsAAPk2pCBetWpVTJ8+PbZt\n2xbV1dWxYsWKQc85evRoPPDAA/Hqq6/GU089FRs3boyNGzee9cAAAJBPgwZxe3t71NXVxfLlyyOT\nycSyZcuipaUlGhoaBjyvuro65s6dG8OGDYuKioq4/vrr480338zb4AAAkA+DBvGePXsik8lEaWlp\nLFmyJPbt2xcTJkyI3bt3n9YnevPNN+PKK68840EBAOBcGDSIOzo6oqysLLLZbDQ1NcWRI0eirKws\nOjo6hvxJNmzYEF1dXXHHHXec1bAAAJBvxYMdUFJSEtlsNsaOHRuvvfZaRERks9koLS0d0ifYsmVL\nPP744/HDH/4whg0bdtJjHnnkkd6P586dG1VVVUNaGwAATqauri62bt3ae3vRokWnPHbQIJ44cWLk\ncrloa2uLioqK6OzsjL1798akSZMGHeT111+Pb37zm/H444/H2LFjT3ncypUrB10LAACGqqqqqt+T\nrPX19ac8dtBLJsrLy2P+/Pmxbt26yOVysX79+hg3blxMmzat95iamppYs2ZNv/N27NgRX//61+Pb\n3/52TJ069Uy+DgAAOOeG9LZrq1evjoaGhqisrIza2tpYu3Ztv8dbWlriwIED/e574okn4tChQ3Hv\nvffG7NmzY/bs2fGlL30pf5MDAEAeFO3cubOnkAM0NzdH0ZgphRwh78aUD4tRw4tO65yDuZ54p73r\nHE1UOGeyFwBwNnxP5WTq6+tj/PjxJ31s0GuIz4e/qD29t3B7v3v45skxanjmtM55p73rgtuHiDPb\nCwA4G76ncrqGdMkEAABcqAQxAABJE8QAACRNEAMAkDRBDABA0gQxAABJE8QAACRNEAMAkDRBDABA\n0gQxAABJE8QAACRNEAMAkDRBDABA0gQxAABJE8QAACRNEAMAkDRBDABA0gQxAABJE8QAACRNEAMA\nkDRBDABA0gQxAABJE8QAACRNEAMAkDRBDABA0gQxAABJE8QAACRNEAMAkDRBDABA0gQxAABJE8QA\nACRNEAMAkDRBDABA0gQxAABJE8QAACRNEAMAkDRBDABA0gQxAABJE8QAACRNEAMAkLTiQg8A/9fB\nXE+8095V6DHybkz5sBg1vOi0zrEXfexFH3vRx170sRecjD8XQyOIed95p70r/qJ2d6HHyLuHb54c\no4ZnTusce9HHXvSxF33sRR97wcn4czE0LpkAACBpghgAgKQJYgAAkiaIAQBImiAGACBpghgAgKQJ\nYgAAkiaIAQBImiAGACBpghgAgKQJYgAAkiaIAQBImiAGACBpghgAgKQNGsStra1RU1MTs2bNisWL\nF8euXbuGtPCTTz4Z8+bNi8rKynj00UfPelAAADgXBg3iVatWxfTp02Pbtm1RXV0dK1asGHTRt956\nKx577LF48skn46c//Wm88MIL8eKLL+ZlYAAAyKcBg7i9vT3q6upi+fLlkclkYtmyZdHS0hINDQ0D\nLlpbWxs33XRTTJkyJSoqKuJzn/tcbNq0Ka+DAwBAPgwYxHv27IlMJhOlpaWxZMmS2LdvX0yYMCF2\n79494KJvv/12TJo0KZ544ol4+OGHY+rUqfFf//VfeR0cAADyYcAg7ujoiLKysshms9HU1BRHjhyJ\nsrKy6OjoGHDRjo6OKC0tjebm5tizZ0+UlZXF0aNH8zo4AADkQ9HOnTt7TvXgb37zm/jCF74Qb7zx\nRu99t99+e3z1q1+NhQsXnnLRr3zlKzFnzpy49957IyJi8+bN8Z3vfCd+9rOf/cGxzc3NZzM/AAAM\nyfjx4096f/FAJ02cODFyuVy0tbVFRUVFdHZ2xt69e2PSpEkDfrLLL7+832UVjY2NMXny5NMaDAAA\nzocBL5koLy+P+fPnx7p16yKXy8X69etj3LhxMW3atN5jampqYs2aNf3Oq66ujs2bN0djY2O0tbXF\ns88+G9XV1efmKwAAgLMw4DPEERGrV6+OBx98MCorK2PKlCmxdu3afo+3tLTEZZdd1u++j33sY3Hf\nfffF0qVL4/jx43HPPfcIYgAA3pcGvIYYAAAudH51MwAASRPEAAAkbdBriD/o/ud//ieefvrpaGlp\niUsuuSTuvPPOqKioKPRYBVFfXx+vvPJK/Pd//3fMnDkz7rzzzkKPVDDd3d3x3HPPRVNTU3R1dcWl\nl14at956a4wZM6bQo513Tz/9dO8+jBw5Mj796U/HjBkzCj1WQb399tvx+OOPx+233x5//Md/XOhx\nCuIf/uEfYt++fXHRRb973uSqq66KP/3TPy3wVIXR1dUVL7zwQvzmN7+Jnp6euOaaa+LWW28t9Fjn\n3eHDh+Pv//7v+93X1dUVn//85+Oqq64q0FSF09raGhs3boy2trb4yEc+EjfddFOS+xDxu38zX3jh\nhThw4ECMHj067rjjjrj00ksLPdZpueCD+Pnnn4+xY8fGF7/4xdi6dWs89dRT8bWvfa3QYxXEhz/8\n4bj++uujqakpOjs7Cz1OQfX09MQf/dEfxU033RQjRoyIurq62LBhQ6xYsaLQo513119/fdxxxx1R\nXFwcjY2N8U//9E/xV3/1V5HJZAo9WkF0d3fHSy+9FJdcckkUFRUVepyCKSoqiltvvTWuvfbaQo9S\ncJs2bYpDhw7F17/+9SgrK4t33nmn0CMVxMUXXxzf/OY3e28fOHAgvvvd78YVV1xRwKkK55lnnomr\nr746vvSlL0VjY2Ns2LAhHnzwwSgtLS30aOfV8ePH48c//nHcfPPNcc0118SWLVvixz/+8Qfu++kF\nfcnEsWPHorGxMRYsWBDFxcUxd+7cOHz4cLS1tRV6tIKYNGlSXHXVVVFSUlLoUQquuLg4PvnJT8aI\nESMiImL27Nlx8ODBJH+j4tixY6O4uDh6enqiu7s7MplM0iH46quvxvTp06OsrKzQoxRcT4/XXHd1\ndcWbb74Zt9xyS5SXl0dRUVGyP2X8v7Zv3x5XXXVVDBs2rNCjFMT+/fvj6quvjoiIqVOnxrBhw+LQ\noUMFnur8279/f3R1dcWsWbOiqKgo5s2bFwcPHvzAtdYF/QzxwYMHo7i4ODKZTHz/+9+PP/mTP4lR\no0bFu+++m/Q/aL7J/aHm5ub4yEc+ktz/7H9v48aN8frrr0dxcXEsXbo02W9w7733Xrzxxhvx5S9/\nORobGws9TsFt3rw5Xnrppbj00kvjlltuiUsuuaTQI513+/fvj4iI//zP/4ytW7dGaWlpfOYzn0n2\nR+O/d+LEiXjzzTeTvvTuiiuuiP/4j/+IBQsWRFNTUwwfPjzJtjhVUxw4cOADtR8X9DPEnZ2dkclk\nIpfLxbvvvhvHjh2L4cOHJ3+5QMrP/p3MsWPHYtOmTbFo0aJCj1Iwt912W6xatSo+85nPxNNPPx1d\nXV2FHqkgamtr4xOf+EQUF1/QzxUMyc033xwPPvhgPPDAAzFu3Lj4wQ9+EN3d3YUe67zL5XLR3d0d\nhw4digceeCBuueWWeOaZZ+K9994r9GgF1djYGEVFRTFlypRCj1IwN998c2zfvj3+5m/+Jn70ox/F\n7bffnuS/HZdccklkMpl44403oru7O375y1/GRRdd9IH7PnJBB3Emk4nOzs746Ec/Gt/4xjdi/Pjx\nkcvlYvjw4YUeraA8Q9zn+PHjsWHDhpg5c2bvj75S9aEPfSiuu+66KC4u7ver11OxZ8+eOHToUMyc\nObP3vpT/rowbN673J2w33nhjtLe39z5bmpJhw4ZFT09PzJs3L4qLi2Py5MkxevToaG5uLvRoBfX6\n66/HNddcU+gxCqarqyv+8R//Maqrq+Nv//ZvY9myZfGTn/wkDh8+XOjRzrvi4uK45557YuvWrfHw\nww9HNpuNkSNHfuBa64L+r8yoUaPi+PHjceTIkRgxYkQcP348Dh48GKNHjy70aAXlGeLfOXHiRPzk\nJz+J0aNHx6c//elCj/O+kWoEtrS0RHNzc6xatar3vrfffjveeeedpH968P9L8c/GqFGjCj3C+05H\nR0fs2LEj7rvvvkKPUjBtbW2Ry+V6L52ZOHFijBw5Mpqbm+Piiy8u8HTn38SJE+OrX/1qREQcPXo0\n/u3f/i3Gjh1b4KlOzwUdxB/+8Idj6tSp8corr8TChQtj69atcfHFF3+grmnJpxMnTkR3d3ecOHEi\nenp64vjx43HRRRf1vq1Sap5//vneV9Knqr29PXbs2BFXX311DBs2LLZv3x7ZbDbGjx9f6NHOu6qq\nqqiqquq9/fjjj8esWbOSfJeFY8eOxd69e2Py5MkREbFly5YoLy9P8m0JS0pK4vLLL49f/epXceut\nt0Zzc3Ps378/yb8jv/fWW29FRUVFkteU/97IkSPj+PHjUV9fH1deeWX89re/jXfffTfZPXn33Xdj\n5MiR0dXVFT/96U9j8uTJH7j/GFzwv7rZ+xD3ef311+O5557rd98nP/nJ+NSnPlWgiQrn0KFD8eij\nj/7Bi8eWLVsWEydOLNBU5182m42nnnoqWltbo7u7O8aMGRMLFy6Myy+/vNCjFVzKQZzNZmP9+vVx\n4MCB+NCHPhSXXXZZLFq0KNlv9ocOHYpnn302fvvb38aIESNi4cKFSb9X9/e+972YPXt2XHfddYUe\npaB27NgRmzdvjsOHD0dZWVksWLAg2fct37JlS/zyl7+MEydOxBVXXBG33XbbB+5F6hd8EAMAwEDS\n/Fk5AAD8L0EMAEDSBDEAAEkTxAAAJE0QAwCQNEEMAEDSBDEAAEkTxAAAJE0QAwCQtP8HI6VciYMq\nq7IAAAAASUVORK5CYII=\n", + "text": [ + "" + ] } ], "prompt_number": 8 @@ -597,10 +615,9 @@ "print('pos before predict =', pos)\n", "bar_plot.plot (pos, title='Before prediction')\n", "\n", - "\n", "pos = perfect_predict(pos, 1)\n", "print('pos after predict =', pos)\n", - "bar_plot.plot (pos, title='After prediction')\n" + "bar_plot.plot (pos, title='After prediction')" ], "language": "python", "metadata": {}, @@ -625,7 +642,7 @@ "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAsQAAAGDCAYAAAAs4AbKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nH7WokSOa/dtCAAAAAElFTkSuQmCC\n", "text": [ - "" + "" ] } ], @@ -673,7 +690,8 @@ "\n", "p = np.array([0,0,0,1,0,0,0,0])\n", "res = predict(p, 2, .8, .1, .1)\n", - "print(res)" + "print(res)\n", + "bar_plot.plot (res)" ], "language": "python", "metadata": {}, @@ -684,6 +702,14 @@ "text": [ "[ 0. 0. 0. 0. 0.1 0.8 0.1 0. ]\n" ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": "iVBORw0KGgoAAAANSUhEUgAAAsQAAAF2CAYAAABpv45gAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAGuxJREFUeJzt3X1slfXd+PFPtRztw9AxpTXIowpiROHnRCn4NB+wTNzE\n+TCSgjFjcdFpCJplTlxC/GMmKO5O1ARngjpdnDonm9iIMWqyIhidZg+F0jKhdAMVcdhDOYXS3x/L\nr/fd3y2nBU49lu/r9VfPua7z7adXSvPm6tXrlGzYsKE7AAAgUUcVewAAACgmQQwAQNIEMQAASRPE\nAAAkTRADAJA0QQwAQNIEMQAASesziF977bW44YYbYtKkSfHTn/603ws/+eSTMX369Jg6dWo8+OCD\nhzUkAAAMlNK+dhg6dGj84Ac/iIaGhtizZ0+/Fv3ggw/i4YcfjmeeeSYqKytj7ty5MXHixKitrT3s\ngQEAoJD6PEM8derUuPzyy+O4447r96L19fVxxRVXxCmnnBJVVVVx3XXXxapVqw5rUAAAGAh9niH+\nf7q7+/8Ozx9++GGce+658cQTT8S2bdvinHPOiT/+8Y+HNCAAAAykfv9RXUlJSb8X7ejoiPLy8mht\nbY3NmzdHRUVF7N69+5AGBACAgTQgZ4jLyspi9+7dcc8990RExOrVq6O8vPwL921tbe33ugAAcKhG\njhz5hc/3O4gP5gzxmDFjYtOmTT2Pm5ubY9y4cQfcf+LEif1eeyC88sor/uCvgBzPwnEsC8vxLCzH\ns3Acy8JyPAvrSDmejY2NB9zW5yUT+/fvj1wuF11dXdHV1RWdnZ3R1dXVs72uri6WLl3a6zW1tbWx\nevXqaG5uju3bt8cLL7xwRBxIAACOPH2eIf79738fd999d8/jlStXxm233Ra33XZbRES0tbXFySef\n3Os1Z511Vtx6660xb9682LdvX9x4442CGACAr6Q+g3jOnDkxZ86cA25//fXXv/D5efPmxbx58w59\nsi/RqaeeWuwRjiiOZ+E4loXleBaW41k4jmVhOZ6FlcLxLNmwYUP//1puALS2thb9GmIAAI5sjY2N\nB/yjun7fdg0AAI5EghgAgKQJYgAAkiaIAQBImiAGACBpghgAgKQJYgAAkiaIAQBImiAGACBpghgA\ngKQJYgAAkiaIAQBImiAGACBpghgAgKQJYgAAkiaIAQBImiAGACBpghgAgKQJYgAAkiaIAQBImiAG\nACBpghgAgKQJYgAAkiaIAQBImiAGACBpghgAgKQJYgAAkiaIAQBImiAGACBpghgAgKQJYgAAkiaI\nAQBImiAGACBpghgAgKQJYgAAkiaIAQBImiAGACBpghgAgKQJYgAAkiaIAQBImiAGACBpghgAgKQJ\nYgAAkiaIAQBImiAGACBpghgAgKQJYgAAkiaIAQBImiAGACBpghgAgKQJYgAAkiaIAQBImiAGACBp\nghgAgKQJYgAAkiaIAQBIWp9BvG3btqirq4vJkyfHnDlzYuPGjf1a+KGHHooZM2bEeeedF4sWLYr2\n9vbDHhYAAAqtzyBevHhxTJgwIdatWxe1tbWxcOHCPhd97bXX4qWXXorf/e538cYbb8Rnn30Wjzzy\nSEEGBgCAQsobxO3t7dHQ0BALFiyITCYT8+fPj7a2tmhqasq76KZNm2LKlCkxfPjwKCsri4svvjha\nWloKOjgAABRC3iDevHlzZDKZKC8vj7lz58bWrVtj1KhRsWnTpryLTps2Lf7yl7/Etm3bIpvNxhtv\nvBEXX3xxIecGAICCyBvEHR0dUVFREdlsNlpaWmLXrl1RUVERHR0deRedNGlSfPvb346LL744zj33\n3CgtLY3rr7++oIMDAEAhlObbWFZWFtlsNqqrq2Pt2rUREZHNZqO8vDzvok8//XS8++678fbbb0cm\nk4l77rkn7rvvvvj5z3/+hfs/8MADPR9PmzYtampqDvbrAIBD8mmuOz5q31vsMb4ShlcOiWHHlBR7\nDCiIhoaGWLNmTc/jWbNmHXDfvEE8evToyOVysX379qiqqorOzs7YsmVLjB07Nu8Ab731VsycOTOO\nP/74iIi4+uqr4xe/+MUB91+0aFHe9QBgoHzUvjd+Up//UsBU3H/luBh2TKbYY0BB1NTU9DrJ2tjY\neMB9814yUVlZGTNmzIjly5dHLpeLFStWxIgRI2L8+PE9+9TV1cXSpUt7vW7cuHHx6quvxq5duyKX\ny8Urr7wSp5122qF+PQAAMGD6vO3akiVLoqmpKaZOnRr19fWxbNmyXtvb2tpix44dvZ677bbb4qST\nToqZM2fGhRdeGLt27Yp77rmnsJMDAEAB5L1kIiKiuro6nnrqqQNuf/311//XcxUVFXH//fcf3mQA\nAPAl8NbNAAAkTRADAJA0QQwAQNIEMQAASRPEAAAkTRADAJA0QQwAQNIEMQAASRPEAAAkTRADAJA0\nQQwAQNIEMQAASRPEAAAkTRADAJA0QQwAQNIEMQAASRPEAAAkTRADAJA0QQwAQNIEMQAASRPEAAAk\nTRADAJA0QQwAQNIEMQAASRPEAAAkTRADAJA0QQwAQNIEMQAASRPEAAAkTRADAJA0QQwAQNIEMQAA\nSRPEAAAkTRADAJA0QQwAQNIEMQAASRPEAAAkTRADAJA0QQwAQNIEMQAASRPEAAAkTRADAJA0QQwA\nQNIEMQAASRPEAAAkTRADAJA0QQwAQNIEMQAASRPEAAAkTRADAJA0QQwAQNIEMQAASRPEAAAkTRAD\nAJA0QQwAQNIEMQAASRPEAAAkrc8g3rZtW9TV1cXkyZNjzpw5sXHjxn4t3NDQEFdffXVMmTIlLr/8\n8li/fv1hDwsAAIXWZxAvXrw4JkyYEOvWrYva2tpYuHBhn4tu3bo1fvzjH8ePfvSjePfdd+M3v/lN\nDB8+vCADAwBAIeUN4vb29mhoaIgFCxZEJpOJ+fPnR1tbWzQ1NeVd9MUXX4wLL7wwamtr46ijjooT\nTjghhg0bVtDBAQCgEPIG8ebNmyOTyUR5eXnMnTs3tm7dGqNGjYpNmzblXXTDhg0xdOjQuP7662P6\n9OmxaNGiaG9vL+jgAABQCHmDuKOjIyoqKiKbzUZLS0vs2rUrKioqoqOjI++in3/+edTX18eSJUvi\ntddei2w2G7/85S8LOjgAABRCab6NZWVlkc1mo7q6OtauXRsREdlsNsrLy/MuWlZWFtOnT4/TTz89\nIiKuv/76vEH8wAMP9Hw8bdq0qKmp6fcXAAAA/7+GhoZYs2ZNz+NZs2YdcN+8QTx69OjI5XKxffv2\nqKqqis7OztiyZUuMHTs27wCjRo2KTz75pOdxd3d3dHd3H3D/RYsW5V0PAAAORk1NTa+TrI2NjQfc\nN+8lE5WVlTFjxoxYvnx55HK5WLFiRYwYMSLGjx/fs09dXV0sXbq01+suv/zyePPNN6OpqSlyuVw8\n//zzcf755x/q1wMAAAOmz9uuLVmyJJqammLq1KlRX18fy5Yt67W9ra0tduzY0eu5c889N2699da4\n+eab48ILL4zy8vK4/fbbCzs5AAAUQMmGDRsOfC3Dl6C1tTUmTpxYzBEASNj6HZ3xk/r8d09Kxf1X\njovTv5Ep9hgwIBobG2PkyJFfuM1bNwMAkDRBDABA0gQxAABJE8QAACRNEAMAkDRBDABA0gQxAABJ\nE8QAACRNEAMAkDRBDABA0gQxAABJE8QAACRNEAMAkDRBDABA0gQxAABJE8QAACRNEAMAkDRBDABA\n0gQxAABJE8QAACRNEAMAkDRBDABA0gQxAABJE8QAACRNEAMAkDRBDABA0gQxAABJE8QAACRNEAMA\nkDRBDABA0gQxAABJE8QAACRNEAMAkDRBDABA0gQxAABJE8QAACRNEAMAkDRBDABA0gQxAABJE8QA\nACRNEAMAkDRBDABA0gQxAABJE8QAACRNEAMAkDRBDABA0gQxAABJE8QAACRNEAMAkDRBDABA0gQx\nAABJE8QAACRNEAMAkDRBDABA0gQxAABJE8QAACRNEAMAkLQ+g3jbtm1RV1cXkydPjjlz5sTGjRsP\n6hPcdNNNcdFFFx3ygAAAMJD6DOLFixfHhAkTYt26dVFbWxsLFy7s9+KrVq2KbDYbJSUlhzUkAAAM\nlLxB3N7eHg0NDbFgwYLIZDIxf/78aGtri6ampj4Xzmaz8dhjj8Utt9wS3d3dBRsYAAAKKW8Qb968\nOTKZTJSXl8fcuXNj69atMWrUqNi0aVOfCz/88MNxww03RGVlZcGGBQCAQssbxB0dHVFRURHZbDZa\nWlpi165dUVFRER0dHXkXbWlpibfffjtuuOGGgg4LAACFVppvY1lZWWSz2aiuro61a9dGxH8uhSgv\nL8+76H333RcLFy7s97XDDzzwQM/H06ZNi5qamn69DgAAvkhDQ0OsWbOm5/GsWbMOuG/eIB49enTk\ncrnYvn17VFVVRWdnZ2zZsiXGjh2bd4C//vWvsWDBgl7PTZw4Md55550vvIRi0aJFedcDAICDUVNT\n0+ska2Nj4wH3zXvJRGVlZcyYMSOWL18euVwuVqxYESNGjIjx48f37FNXVxdLly7t9bp33nkn1q9f\nH+vXr48nn3wyqqqqorGx0fXEAAB85fR527UlS5ZEU1NTTJ06Nerr62PZsmW9tre1tcWOHTsO+Pru\n7m63XQMA4Csr7yUTERHV1dXx1FNPHXD766+/nvf15513XrzxxhsHPRgAAHwZvHUzAABJE8QAACRN\nEAMAkDRBDABA0gQxAABJE8QAACRNEAMAkDRBDABA0gQxAABJE8QAACRNEAMAkDRBDABA0gQxAABJ\nE8QAACRNEAMAkDRBDABA0gQxAABJE8QAACRNEAMAkDRBDABA0gQxAABJE8QAACRNEAMAkDRBDABA\n0gQxAABJE8QAACRNEAMAkDRBDABA0gQxAABJE8QAACRNEAMAkDRBDABA0gQxAABJE8QAACRNEAMA\nkDRBDABA0gQxAABJE8QAACRNEAMAkDRBDABA0gQxAABJE8QAACRNEAMAkDRBDABA0gQxAABJE8QA\nACRNEAMAkDRBDABA0gQxAABJE8QAACRNEAMAkDRBDABA0gQxAABJE8QAACRNEAMAkDRBDABA0gQx\nAABJ61cQb9u2Lerq6mLy5MkxZ86c2LhxY5+vefPNN+Paa6+Nc845Jy6++OJ49NFHD3tYAAAotH4F\n8eLFi2PChAmxbt26qK2tjYULF/b5mt27d8edd94Zb7/9djz77LOxcuXKWLly5WEPDAAAhdRnELe3\nt0dDQ0MsWLAgMplMzJ8/P9ra2qKpqSnv62pra2PatGkxZMiQqKqqigsuuCDef//9gg0OAACF0GcQ\nb968OTKZTJSXl8fcuXNj69atMWrUqNi0adNBfaL3338/Tj/99EMeFAAABkKfQdzR0REVFRWRzWaj\npaUldu3aFRUVFdHR0dHvT/L000/H3r1745prrjmsYQEAoNBK+9qhrKwsstlsVFdXx9q1ayMiIpvN\nRnl5eb8+wZtvvhmPP/54PPPMMzFkyJAv3OeBBx7o+XjatGlRU1PTr7UBAOCLNDQ0xJo1a3oez5o1\n64D79hnEo0ePjlwuF9u3b4+qqqro7OyMLVu2xNixY/sc5L333ot77703Hn/88aiurj7gfosWLepz\nLQAA6K+amppeJ1kbGxsPuG+fl0xUVlbGjBkzYvny5ZHL5WLFihUxYsSIGD9+fM8+dXV1sXTp0l6v\nW79+fdxxxx3x0EMPxamnnnooXwcAAAy4ft12bcmSJdHU1BRTp06N+vr6WLZsWa/tbW1tsWPHjl7P\nPfHEE7Fz5864+eabY8qUKTFlypT44Q9/WLjJAQCgAEo2bNjQXcwBWltbY+LEicUcAYCErd/RGT+p\nP7g7Jx2p7r9yXJz+jUyxx4AB0djYGCNHjvzCbd66GQCApAliAACSJogBAEiaIAYAIGmCGACApAli\nAACSJogBAEiaIAYAIGmCGACApAliAACSJogBAEiaIAYAIGmCGACApAliAACSJogBAEiaIAYAIGmC\nGACApAliAACSJogBAEiaIAYAIGmCGACApAliAACSJogBAEiaIAYAIGmCGACApAliAACSJogBAEia\nIAYAIGmlxR4AgIPzaa47PmrfW+wxvhKGVw6JYceUFHsM/gffn//N9+fgIYgBBpmP2vfGT+o3FXuM\nr4T7rxwXw47JFHsM/gffn//N9+fg4ZIJAACSJogBAEiaIAYAIGmCGACApAliAACSJogBAEiaIAYA\nIGmCGACApAliAACSJogBAEiaIAYAIGmCGACApAliAACSJogBAEiaIAYAIGmCGACApAliAACSJogB\nAEiaIAYAIGmCGACApAliAACSJogBAEiaIAYAIGmCGACApAliAACSJogBAEiaIAYAIGl9BvG2bdui\nrq4uJk+eHHPmzImNGzf2a+Enn3wypk+fHlOnTo0HH3zwsAcFAICB0GcQL168OCZMmBDr1q2L2tra\nWLhwYZ+LfvDBB/Hwww/Hk08+GX/4wx/i5ZdfjldeeaUgAw+E/kY+/eN4Fo5jWViOJ8DBS+FnZ94g\nbm9vj4aGhliwYEFkMpmYP39+tLW1RVNTU95F6+vr44orrohTTjklqqqq4rrrrotVq1YVdPBCam5u\nLvYIRxTHs3Acy8JyPAEOXgo/O/MG8ebNmyOTyUR5eXnMnTs3tm7dGqNGjYpNmzblXfTDDz+MsWPH\nxhNPPBH3339/nHrqqfGPf/yjoIMDAEAh5A3ijo6OqKioiGw2Gy0tLbFr166oqKiIjo6OvIt2dHRE\neXl5tLa2xubNm6OioiJ2795d0MEBAKAQSvNtLCsri2w2G9XV1bF27dqIiMhms1FeXp530bKysti9\ne3fcc889ERGxevXqvK9pbGw82LkLasyYMUWf4UjieBaOY1lYR9Lx/MX/KfYEXw3dH7VE40eHv47j\n+R+OZ2EV6ngW25H0s/NA8gbx6NGjI5fLxfbt26Oqqio6Oztjy5YtMXbs2LyLjhkzptdlFc3NzTFu\n3Lgv3HfkyJGHMDYAABRG3ksmKisrY8aMGbF8+fLI5XKxYsWKGDFiRIwfP75nn7q6uli6dGmv19XW\n1sbq1aujubk5tm/fHi+88ELU1tYOzFcAAACHIe8Z4oiIJUuWxF133RVTp06NU045JZYtW9Zre1tb\nW5x88sm9njvrrLPi1ltvjXnz5sW+ffvixhtvFMQAAHwllWzYsKG72EMAAECxeOtmAACSJogBAEha\nn9cQH8n+/e9/x3PPPRdtbW1x4oknxrXXXhtVVVXFHmtQamxsjLfeeiv+9a9/xaRJk+Laa68t9kiD\nWldXV7z44ovR0tISe/fujZNOOilmz54dw4cPL/Zog9Jzzz3Xcyy//vWvx6WXXhoTJ04s9liD3ocf\nfhiPP/54fOc734lvfvObxR5n0PrVr34VW7dujaOO+s85qjPOOCO+973vFXmqwWnv3r3x8ssvx9/+\n9rfo7u6Os88+O2bPnl3ssQalzz77LP7rv/6r13N79+6N73//+3HGGWcUaaqBk3QQv/TSS1FdXR03\n3XRTrFmzJp599tm4/fbbiz3WoHTsscfGBRdcEC0tLdHZ2VnscQa97u7u+MY3vhFXXHFFDB06NBoa\nGuLpp5+OhQsXFnu0QemCCy6Ia665JkpLS6O5uTmeeuqp+NnPfhaZTKbYow1aXV1d8eqrr8aJJ54Y\nJSUlxR5nUCspKYnZs2fHOeecU+xRBr1Vq1bFzp0744477oiKior46KMj4CbARXL88cfHvffe2/N4\nx44d8cgjj8Rpp51WxKkGTrKXTOzZsyeam5vjwgsvjNLS0pg2bVp89tlnsX379mKPNiiNHTs2zjjj\njCgrKyv2KEeE0tLSuOSSS2Lo0KERETFlypT49NNPvePjIaquro7S0tLo7u6Orq6uyGQyIu4wvf32\n2zFhwoSoqKgo9ihHhO5uf99+uPbu3Rvvv/9+XHXVVVFZWRklJSV+61tA7777bpxxxhkxZMiQYo8y\nIJI9Q/zpp59GaWlpZDKZeOyxx+K73/1uDBs2LD7++GP/gA6DH+oDo7W1Nb72ta/1+S6RHNjKlSvj\nvffei9LS0pg3b94R+0P9y/D555/Hn//857jllluiubm52OMcEVavXh2vvvpqnHTSSXHVVVfFiSee\nWOyRBp1PPvkkIiL+/ve/x5o1a6K8vDwuu+yyI/LX+1+2/fv3x/vvv39EXw6Z7Bnizs7OyGQykcvl\n4uOPP449e/bEMccc49f9h8lZt8Lbs2dPrFq1KmbNmlXsUQa1q6++OhYvXhyXXXZZPPfcc7F3795i\njzRo1dfXx0UXXRSlpcmeUymoK6+8Mu6666648847Y8SIEfHrX/86urq6ij3WoJPL5aKrqyt27twZ\nd955Z1x11VXx/PPPx+eff17s0Qa95ubmKCkpiVNOOaXYowyYZIM4k8lEZ2dnHHfccXH33XfHyJEj\nI5fLxTHHHFPs0QY1Z4gLa9++ffH000/HpEmT4swzzyz2OIPe0UcfHeeff36Ulpb2ent5+m/z5s2x\nc+fOmDRpUs9z/t0fnhEjRvT8xvLyyy+P9vb2nrOd9N+QIUOiu7s7pk+fHqWlpTFu3Lg44YQTorW1\ntdijDXrvvfdenH322cUeY0Al+9/7YcOGxb59+2LXrl0xdOjQ2LdvX3z66adxwgknFHu0Qc0Z4sLZ\nv39//Pa3v40TTjghLr300mKPc0QRcIeura0tWltbY/HixT3Pffjhh/HRRx/5LUYB+R49eMOGDSv2\nCEekjo6OWL9+fdx6663FHmVAJRvExx57bJx66qnx1ltvxcyZM2PNmjVx/PHHu374EO3fvz+6urpi\n//790d3dHfv27Yujjjqq5zZCHLyXXnqp56/POXTt7e2xfv36OPPMM2PIkCHx7rvvRjabjZEjRxZ7\ntEGppqYmampqeh4//vjjMXnyZHdIOER79uyJLVu2xLhx4yIi4s0334zKykq3WDwEZWVlMWbMmPjT\nn/4Us2fPjtbW1vjkk0/8Wz9MH3zwQVRVVR3x17Un/dbN7kNcOO+99168+OKLvZ675JJL4lvf+laR\nJhrcdu7cGQ8++OD/+sOv+fPnx+jRo4s01eCUzWbj2WefjW3btkVXV1cMHz48Zs6cGWPGjCn2aEcE\nQXx4stlsrFixInbs2BFHH310nHzyyTFr1qwjPj4Gys6dO+OFF16If/7znzF06NCYOXOme44fpkcf\nfTSmTJkS559/frFHGVBJBzEAAPh9NgAASRPEAAAkTRADAJA0QQwAQNIEMQAASRPEAAAkTRADAJA0\nQQwAQNIEMQAASfu/9EuYt+Z+LLoAAAAASUVORK5CYII=\n", + "text": [ + "" + ] } ], "prompt_number": 10 @@ -719,7 +745,7 @@ "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAsQAAAF2CAYAAABpv45gAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAGtlJREFUeJzt3Xts1fX9+PFXtRztZeiY0hrkqoIYUYgTpeBtXrDMy8R5\nGVnBmLHodBqCZpkTlxATZ4KiS9QEZ4I6XZw6p1NsxBg1WVGMt2yuUFomlG6gIg57LKdQ+v3jm1+/\n6W9yWuHUY3k/Hn/1fD6f8+6rnwg8/fRzzilZu3ZtdwAAQKIOKPYAAABQTIIYAICkCWIAAJImiAEA\nSJogBgAgaYIYAICkCWIAAJLWZxC//PLLccUVV8SkSZPil7/8Zb8XfuSRR2L69OkxderUuPvuu/dp\nSAAAGCilfR0wdOjQ+MlPfhINDQ2xY8eOfi36/vvvx3333RePP/54VFZWxpw5c2LixIlRW1u7zwMD\nAEAh9XmFeOrUqXHuuefGIYcc0u9F6+vr47zzzoujjjoqqqqq4rLLLosVK1bs06AAADAQ+rxC/P90\nd/f/E54//PDDOPnkk+Phhx+OzZs3x0knnRTPP//8Xg0IAAADqd8vqispKen3oh0dHVFeXh6tra2x\nYcOGqKioiC+++GKvBgQAgIE0IFeIy8rK4osvvohbb701IiJWrlwZ5eXlX3psa2trv9cFAIC9NXLk\nyC/d3u8g/ipXiMeMGRPr16/vedzc3Bzjxo3b4/ETJ07s99oD4cUXX/SCvwJyPgvHuSws57OwnM/C\ncS4Ly/ksrP3lfDY2Nu5xX5+3TOzevTtyuVx0dXVFV1dXdHZ2RldXV8/+urq6WLJkSa/n1NbWxsqV\nK6O5uTm2bNkSTz/99H5xIgEA2P/0eYX4z3/+c9xyyy09j5977rm4/vrr4/rrr4+IiLa2tjjyyCN7\nPeeEE06I6667LubOnRu7du2KK6+8UhADAPCN1GcQz549O2bPnr3H/a+88sqXbp87d27MnTt37yf7\nGh199NHFHmG/4nwWjnNZWM5nYTmfheNcFpbzWVgpnM+StWvX9v/VcgOgtbW16PcQAwCwf2tsbNzj\ni+r6/bZrAACwPxLEAAAkTRADAJA0QQwAQNIEMQAASRPEAAAkTRADAJA0QQwAQNIEMQAASRPEAAAk\nTRADAJA0QQwAQNIEMQAASRPEAAAkTRADAJA0QQwAQNIEMQAASRPEAAAkTRADAJA0QQwAQNIEMQAA\nSRPEAAAkTRADAJA0QQwAQNIEMQAASRPEAAAkTRADAJA0QQwAQNIEMQAASRPEAAAkTRADAJA0QQwA\nQNIEMQAASRPEAAAkTRADAJA0QQwAQNIEMQAASRPEAAAkTRADAJA0QQwAQNIEMQAASRPEAAAkTRAD\nAJA0QQwAQNIEMQAASRPEAAAkTRADAJA0QQwAQNIEMQAASRPEAAAkTRADAJA0QQwAQNIEMQAASRPE\nAAAkTRADAJA0QQwAQNL6DOLNmzdHXV1dTJ48OWbPnh3r1q3r18L33HNPzJgxI0455ZRYuHBhtLe3\n7/OwAABQaH0G8aJFi2LChAmxevXqqK2tjQULFvS56MsvvxzPPvts/OlPf4pXX301Pvvss7j//vsL\nMjAAABRS3iBub2+PhoaGmD9/fmQymZg3b160tbVFU1NT3kXXr18fU6ZMieHDh0dZWVmceeaZ0dLS\nUtDBAQCgEPIG8YYNGyKTyUR5eXnMmTMnNm3aFKNGjYr169fnXXTatGnxt7/9LTZv3hzZbDZeffXV\nOPPMMws5NwAAFETeIO7o6IiKiorIZrPR0tIS27dvj4qKiujo6Mi76KRJk+L73/9+nHnmmXHyySdH\naWlpXH755QUdHAAACqE0386ysrLIZrNRXV0db775ZkREZLPZKC8vz7voY489Fm+//Xa88cYbkclk\n4tZbb43bb789fv3rX3/p8XfddVfP19OmTYuampqv+nMAAECPhoaGWLVqVc/jWbNm7fHYvEE8evTo\nyOVysWXLlqiqqorOzs7YuHFjjB07Nu8Ar7/+esycOTMOPfTQiIi46KKL4je/+c0ej1+4cGHe9QAA\n4KuoqanpdZG1sbFxj8fmvWWisrIyZsyYEcuWLYtcLhfLly+PESNGxPjx43uOqauriyVLlvR63rhx\n4+Kll16K7du3Ry6XixdffDGOOeaYvf15AABgwPT5tmuLFy+OpqammDp1atTX18fSpUt77W9ra4ut\nW7f22nb99dfHEUccETNnzozTTz89tm/fHrfeemthJwcAgAIoWbt2bXcxB2htbY2JEycWcwQAAPZz\njY2NMXLkyC/d56ObAQBImiAGACBpghgAgKQJYgAAkiaIAQBImiAGACBpghgAgKQJYgAAkiaIAQBI\nmiAGACBpghgAgKQJYgAAkiaIAQBImiAGACBpghgAgKQJYgAAkiaIAQBImiAGACBpghgAgKQJYgAA\nkiaIAQBImiAGACBpghgAgKQJYgAAkiaIAQBImiAGACBpghgAgKQJYgAAkiaIAQBImiAGACBpghgA\ngKQJYgAAkiaIAQBImiAGACBpghgAgKQJYgAAkiaIAQBImiAGACBpghgAgKQJYgAAkiaIAQBImiAG\nACBpghgAgKQJYgAAkiaIAQBImiAGACBpghgAgKQJYgAAkiaIAQBImiAGACBpghgAgKQJYgAAkiaI\nAQBImiAGACBpghgAgKQJYgAAkiaIAQBIWp9BvHnz5qirq4vJkyfH7NmzY926df1auKGhIS666KKY\nMmVKnHvuubFmzZp9HhYAAAqtzyBetGhRTJgwIVavXh21tbWxYMGCPhfdtGlT/PznP49rr7023n77\n7fjDH/4Qw4cPL8jAAABQSHmDuL29PRoaGmL+/PmRyWRi3rx50dbWFk1NTXkXfeaZZ+L000+P2tra\nOOCAA+Kwww6LYcOGFXRwAAAohLxBvGHDhshkMlFeXh5z5syJTZs2xahRo2L9+vV5F127dm0MHTo0\nLr/88pg+fXosXLgw2tvbCzo4AAAUQt4g7ujoiIqKishms9HS0hLbt2+PioqK6OjoyLvo559/HvX1\n9bF48eJ4+eWXI5vNxr333lvQwQEAoBBK8+0sKyuLbDYb1dXV8eabb0ZERDabjfLy8ryLlpWVxfTp\n0+PYY4+NiIjLL788bxDfddddPV9PmzYtampq+v0DAADA/6+hoSFWrVrV83jWrFl7PDZvEI8ePTpy\nuVxs2bIlqqqqorOzMzZu3Bhjx47NO8CoUaPik08+6Xnc3d0d3d3dezx+4cKFedcDAICvoqamptdF\n1sbGxj0em/eWicrKypgxY0YsW7YscrlcLF++PEaMGBHjx4/vOaauri6WLFnS63nnnntuvPbaa9HU\n1BS5XC6eeuqpOPXUU/f25wEAgAHT59uuLV68OJqammLq1KlRX18fS5cu7bW/ra0ttm7d2mvbySef\nHNddd11cffXVcfrpp0d5eXnccMMNhZ0cAAAKoGTt2rV7vpfha9Da2hoTJ04s5ggAAOznGhsbY+TI\nkV+6z0c3AwCQNEEMAEDSBDEAAEkTxAAAJE0QAwCQNEEMAEDSBDEAAEkTxAAAJE0QAwCQNEEMAEDS\nBDEAAEkTxAAAJE0QAwCQNEEMAEDSBDEAAEkTxAAAJE0QAwCQNEEMAEDSBDEAAEkTxAAAJE0QAwCQ\nNEEMAEDSSos9AAAU06e57viofWexx/hGGF45JIYdVFLsMeBrJ4gBSNpH7TvjF/Xriz3GN8Kd54+L\nYQdlij0GfO3cMgEAQNIEMQAASRPEAAAkTRADAJA0QQwAQNIEMQAASRPEAAAkTRADAJA0QQwAQNIE\nMQAASRPEAAAkTRADAJA0QQwAQNIEMQAASRPEAAAkTRADAJA0QQwAQNIEMQAASRPEAAAkTRADAJA0\nQQwAQNIEMQAASRPEAAAkTRADAJA0QQwAQNIEMQAASRPEAAAkTRADAJA0QQwAQNIEMQAASRPEAAAk\nTRADAJA0QQwAQNL6DOLNmzdHXV1dTJ48OWbPnh3r1q37St/gqquuijPOOGOvBwQAgIHUZxAvWrQo\nJkyYEKtXr47a2tpYsGBBvxdfsWJFZLPZKCkp2achAQBgoOQN4vb29mhoaIj58+dHJpOJefPmRVtb\nWzQ1NfW5cDabjQcffDCuueaa6O7uLtjAAABQSHmDeMOGDZHJZKK8vDzmzJkTmzZtilGjRsX69ev7\nXPi+++6LK664IiorKws2LAAAFFreIO7o6IiKiorIZrPR0tIS27dvj4qKiujo6Mi7aEtLS7zxxhtx\nxRVXFHRYAAAotNJ8O8vKyiKbzUZ1dXW8+eabEfG/t0KUl5fnXfT222+PBQsW9Pve4bvuuqvn62nT\npkVNTU2/ngcAAF+moaEhVq1a1fN41qxZezw2bxCPHj06crlcbNmyJaqqqqKzszM2btwYY8eOzTvA\n3//+95g/f36vbRMnToy33nrrS2+hWLhwYd71AADgq6ipqel1kbWxsXGPx+a9ZaKysjJmzJgRy5Yt\ni1wuF8uXL48RI0bE+PHje46pq6uLJUuW9HreW2+9FWvWrIk1a9bEI488ElVVVdHY2Oh+YgAAvnH6\nfNu1xYsXR1NTU0ydOjXq6+tj6dKlvfa3tbXF1q1b9/j87u5ub7sGAMA3Vt5bJiIiqqur49FHH93j\n/ldeeSXv80855ZR49dVXv/JgAADwdfDRzQAAJE0QAwCQtD5vmQDgm+XTXHd81L6z2GN8IwyvHBLD\nDvI6FWDfCGKAQeaj9p3xi/q+PzE0BXeePy6GHZQp9hjAIOeWCQAAkiaIAQBImiAGACBpghgAgKQJ\nYgAAkiaIAQBImiAGACBpghgAgKQJYgAAkiaIAQBImiAGACBpghgAgKQJYgAAkiaIAQBImiAGACBp\nghgAgKQJYgAAkiaIAQBImiAGACBpghgAgKQJYgAAkiaIAQBImiAGACBpghgAgKQJYgAAkiaIAQBI\nmiAGACBpghgAgKQJYgAAkiaIAQBImiAGACBpghgAgKQJYgAAkiaIAQBImiAGACBpghgAgKQJYgAA\nkiaIAQBImiAGACBpghgAgKQJYgAAkiaIAQBImiAGACBpghgAgKQJYgAAkiaIAQBImiAGACBpghgA\ngKQJYgAAkiaIAQBImiAGACBpghgAgKQJYgAAktavIN68eXPU1dXF5MmTY/bs2bFu3bo+n/Paa6/F\npZdeGieddFKceeaZ8cADD+zzsAAAUGj9CuJFixbFhAkTYvXq1VFbWxsLFizo8zlffPFF3HTTTfHG\nG2/EE088Ec8991w899xz+zwwAAAUUp9B3N7eHg0NDTF//vzIZDIxb968aGtri6amprzPq62tjWnT\npsWQIUOiqqoqTjvttHjvvfcKNjgAABRCn0G8YcOGyGQyUV5eHnPmzIlNmzbFqFGjYv369V/pG733\n3ntx7LHH7vWgAAAwEPoM4o6OjqioqIhsNhstLS2xffv2qKioiI6Ojn5/k8ceeyx27twZl1xyyT4N\nCwAAhVba1wFlZWWRzWajuro63nzzzYiIyGazUV5e3q9v8Nprr8VDDz0Ujz/+eAwZMuRLj7nrrrt6\nvp42bVrU1NT0a20AAPgyDQ0NsWrVqp7Hs2bN2uOxfQbx6NGjI5fLxZYtW6Kqqio6Oztj48aNMXbs\n2D4Heeedd+K2226Lhx56KKqrq/d43MKFC/tcCwAA+qumpqbXRdbGxsY9HtvnLROVlZUxY8aMWLZs\nWeRyuVi+fHmMGDEixo8f33NMXV1dLFmypNfz1qxZEzfeeGPcc889cfTRR+/NzwEAAAOuX2+7tnjx\n4mhqaoqpU6dGfX19LF26tNf+tra22Lp1a69tDz/8cGzbti2uvvrqmDJlSkyZMiV++tOfFm5yAAAo\ngD5vmYiIqK6ujkcffXSP+1955ZX/2nbHHXfEHXfcsfeTAQDA18BHNwMAkDRBDABA0gQxAABJE8QA\nACRNEAMAkDRBDABA0gQxAABJE8QAACRNEAMAkDRBDABA0gQxAABJE8QAACRNEAMAkDRBDABA0gQx\nAABJE8QAACRNEAMAkDRBDABA0gQxAABJE8QAACRNEAMAkDRBDABA0gQxAABJE8QAACRNEAMAkDRB\nDABA0gQxAABJE8QAACRNEAMAkDRBDABA0gQxAABJE8QAACRNEAMAkDRBDABA0gQxAABJE8QAACRN\nEAMAkDRBDABA0gQxAABJE8QAACRNEAMAkDRBDABA0kqLPQAAsP/4NNcdH7XvLPYY3wjDK4fEsINK\nij0G/SCIAYCC+ah9Z/yifn2xx/hGuPP8cTHsoEyxx6Af3DIBAEDSBDEAAEkTxAAAJE0QAwCQNC+q\nA74WXnn+f7zyHOCbRRADXwuvPP8/XnkO8M3ilgkAAJImiAEASJogBgAgaYIYAICkCWIAAJImiAEA\nSJogBgAgaX0G8ebNm6Ouri4mT54cs2fPjnXr1vVr4UceeSSmT58eU6dOjbvvvnufBwUAgIHQZxAv\nWrQoJkyYEKtXr47a2tpYsGBBn4u+//77cd9998UjjzwSf/nLX+KFF16IF198sSADD4T+Rj7943wW\njnMJQLGl8G9R3iBub2+PhoaGmD9/fmQymZg3b160tbVFU1NT3kXr6+vjvPPOi6OOOiqqqqrisssu\nixUrVhR08EJqbm4u9gj7FeezcJxLAIothX+L8gbxhg0bIpPJRHl5ecyZMyc2bdoUo0aNivXr83/8\n6ocffhhjx46Nhx9+OO688844+uij45///GdBBwcAgELIG8QdHR1RUVER2Ww2WlpaYvv27VFRUREd\nHR15F+3o6Ijy8vJobW2NDRs2REVFRXzxxRcFHRwAAAqhZO3atd172vnBBx/Ej3/843j33Xd7tl18\n8cXxs5/9LGbOnLnHRa+99to4+eST4+qrr46IiJUrV8a9994bzz///H8d29raui/zAwBAv4wcOfJL\nt5fme9Lo0aMjl8vFli1boqqqKjo7O2Pjxo0xduzYvN9szJgxvW6raG5ujnHjxn2lwQAA4OuQ95aJ\nysrKmDFjRixbtixyuVwsX748RowYEePHj+85pq6uLpYsWdLrebW1tbFy5cpobm6OLVu2xNNPPx21\ntbUD8xMAAMA+yHuFOCJi8eLFcfPNN8fUqVPjqKOOiqVLl/ba39bWFkceeWSvbSeccEJcd911MXfu\n3Ni1a1dceeWVghgAgG+kvPcQAwDA/s5HNwMAkDRBDABA0vq8h3h/9p///CeefPLJaGtri8MPPzwu\nvfTSqKqqKvZYg1JjY2O8/vrr8e9//zsmTZoUl156abFHGtS6urrimWeeiZaWlti5c2ccccQRceGF\nF8bw4cOLPdqg9OSTT/acy29/+9tx9tlnx8SJE4s91qD34YcfxkMPPRQXX3xxfPe73y32OIPW7373\nu9i0aVMccMD/XqM67rjj4oc//GGRpxqcdu7cGS+88EJ88MEH0d3dHSeeeGJceOGFxR5rUPrss8/i\nt7/9ba9tO3fujB/96Edx3HHHFWmqgZN0ED/77LNRXV0dV111VaxatSqeeOKJuOGGG4o91qB08MEH\nx2mnnRYtLS3R2dlZ7HEGve7u7vjOd74T5513XgwdOjQaGhriscceiwULFhR7tEHptNNOi0suuSRK\nS0ujubk5Hn300fjVr34VmUym2KMNWl1dXfHSSy/F4YcfHiUlJcUeZ1ArKSmJCy+8ME466aRijzLo\nrVixIrZt2xY33nhjVFRUxEcffVTskQatQw89NG677baex1u3bo37778/jjnmmCJONXCSvWVix44d\n0dzcHKeffnqUlpbGtGnT4rPPPostW7YUe7RBaezYsXHcccdFWVlZsUfZL5SWlsZZZ50VQ4cOjYiI\nKVOmxKeffuoTH/dSdXV1lJaWRnd3d3R1dUUmkxFx++iNN96ICRMmREVFRbFH2S90d3t9+77auXNn\nvPfee3HBBRdEZWVllJSU+K1vAb399ttx3HHHxZAhQ4o9yoBI9grxp59+GqWlpZHJZOLBBx+MH/zg\nBzFs2LD4+OOP/QHaB/5SHxitra3xrW99K8rLy4s9yqD13HPPxTvvvBOlpaUxd+7c/fYv9a/D559/\nHu+++25cc8010dzcXOxx9gsrV66Ml156KY444oi44IIL4vDDDy/2SIPOJ598EhER//jHP2LVqlVR\nXl4e55xzzn756/2v2+7du+O9997br2+HTPYKcWdnZ2QymcjlcvHxxx/Hjh074qCDDvLr/n3kqlvh\n7dixI1asWBGzZs0q9iiD2kUXXRSLFi2Kc845J5588snYuXNnsUcatOrr6+OMM86I0tJkr6kU1Pnn\nnx8333xz3HTTTTFixIj4/e9/H11dXcUea9DJ5XLR1dUV27Zti5tuuikuuOCCeOqpp+Lzzz8v9miD\nXnNzc5SUlMRRRx1V7FEGTLJBnMlkorOzMw455JC45ZZbYuTIkZHL5eKggw4q9miDmivEhbVr1654\n7LHHYtKkSXH88ccXe5xB78ADD4xTTz01SktLe328PP23YcOG2LZtW0yaNKlnmz/3+2bEiBE9v7E8\n99xzo729vedqJ/03ZMiQ6O7ujunTp0dpaWmMGzcuDjvssGhtbS32aIPeO++8EyeeeGKxxxhQyf7v\n/bBhw2LXrl2xffv2GDp0aOzatSs+/fTTOOyww4o92qDmCnHh7N69O/74xz/GYYcdFmeffXaxx9mv\nCLi919bWFq2trbFo0aKebR9++GF89NFHfotRQP4b/eqGDRtW7BH2Sx0dHbFmzZq47rrrij3KgEo2\niA8++OA4+uij4/XXX4+ZM2fGqlWr4tBDD3X/8F7avXt3dHV1xe7du6O7uzt27doVBxxwQM/bCPHV\nPfvssz2vPmfvtbe3x5o1a+L444+PIUOGxNtvvx3ZbDZGjhxZ7NEGpZqamqipqel5/NBDD8XkyZO9\nQ8Je2rFjR2zcuDHGjRsXERGvvfZaVFZWeovFvVBWVhZjxoyJv/71r3HhhRdGa2trfPLJJ/6s76P3\n338/qqqq9vv72pP+6GbvQ1w477zzTjzzzDO9tp111lnxve99r0gTDW7btm2Lu++++79e+DVv3rwY\nPXp0kaYanLLZbDzxxBOxefPm6OrqiuHDh8fMmTNjzJgxxR5tvyCI9002m43ly5fH1q1b48ADD4wj\njzwyZs2atd/Hx0DZtm1bPP300/Gvf/0rhg4dGjNnzvSe4/vogQceiClTpsSpp55a7FEGVNJBDAAA\nfp8NAEDSBDEAAEkTxAAAJE0QAwCQNEEMAEDSBDEAAEkTxAAAJE0QAwCQNEEMAEDS/gcvJn1wOQxp\nTwAAAABJRU5ErkJggg==\n", "text": [ - "" + "" ] } ], @@ -748,7 +774,7 @@ "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAsQAAAF2CAYAAABpv45gAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTwAAAABJRU5ErkJggg==\n", "text": [ - "" + "" ] } ], @@ -786,7 +812,7 @@ "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAsQAAAF2CAYAAABpv45gAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTRADAJC0/w+h81+HiDXgpAAAAABJRU5ErkJggg==\n", "text": [ - "" + "" ] } ], @@ -796,40 +822,17 @@ "cell_type": "markdown", "metadata": {}, "source": [ + "\n", "After 500 iterations we have lost all information, even though we were 100% sure that we started in position 1. Feel free to play with the numbers to see the effect of different number of updates. For example, after 100 updates we have a small amount of information left.\n" ] }, { - "cell_type": "code", - "collapsed": false, - "input": [ - "pos = [1.0,0,0,0,0,0,0,0,0,0]\n", - "for i in range(100):\n", - " pos = predict(pos, 1, .8, .1, .1)\n", - "print(pos)\n", - "bar_plot.plot(pos)" - ], - "language": "python", + "cell_type": "markdown", "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "[ 0.10407069 0.10329322 0.10125784 0.09874205 0.09670682 0.09592945\n", - " 0.09670682 0.09874205 0.10125784 0.10329322]\n" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAsQAAAF2CAYAAABpv45gAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nDABA0gQxAABJE8QAACRNEAMAkLT/D65RX42ZHrtJAAAAAElFTkSuQmCC\n", - "text": [ - "" - ] - } - ], - "prompt_number": 14 + "source": [ + "And, if you are viewing this on the web or in IPython Notebook, here is an animation of that output.\n", + " " + ] }, { "cell_type": "heading", @@ -858,7 +861,26 @@ "input": [ "p = np.array([.1]*10)\n", "p = update(p, 1, .6, .2)\n", - "print(p)\n", + "print(p)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "[ 0.1875 0.1875 0.0625 0.0625 0.0625 0.0625 0.0625 0.0625 0.1875\n", + " 0.0625]\n" + ] + } + ], + "prompt_number": 14 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ "p = predict(p, 1, .8, .1, .1)\n", "print(p)\n", "bar_plot.plot(p)" @@ -870,8 +892,6 @@ "output_type": "stream", "stream": "stdout", "text": [ - "[ 0.1875 0.1875 0.0625 0.0625 0.0625 0.0625 0.0625 0.0625 0.1875\n", - " 0.0625]\n", "[ 0.0875 0.175 0.175 0.075 0.0625 0.0625 0.0625 0.0625 0.075\n", " 0.1625]\n" ] @@ -881,7 +901,7 @@ "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAsQAAAF2CAYAAABpv45gAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nACRNEAMAkDRBDABA0v4fyuZfl2z2cekAAAAASUVORK5CYII=\n", "text": [ - "" + "" ] } ], @@ -891,7 +911,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "So after the first sense we have assigned a high probability to each door position, and a low probability to each wall position. The update step shifted these probabilities to the right, smearing them about a bit. Now lets look at what happens at the next sense." + "So after the first update we have assigned a high probability to each door position, and a low probability to each wall position. The update step shifted these probabilities to the right, smearing them about a bit. Now lets look at what happens at the next sense." ] }, { @@ -918,7 +938,7 @@ "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAsQAAAF2CAYAAABpv45gAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSJogBgAgaYIYAICkCWIAAJL2/wCrimWfPEa4dQAAAABJRU5ErkJggg==\n", "text": [ - "" + "" ] } ], @@ -947,7 +967,7 @@ "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAsQAAAF2CAYAAABpv45gAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text": [ - "" + "" ] } ], @@ -976,7 +996,7 @@ "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAsQAAAF2CAYAAABpv45gAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nghgAgKQJYgAAkiaIAQBImiAGACBp/w9i/FxndKUZBAAAAABJRU5ErkJggg==\n", "text": [ - "" + "" ] } ], @@ -989,6 +1009,14 @@ "Here things have degraded a bit due to the long string of wall positions in the map. We cannot be as sure where we are when there is an undifferentiated line of wall positions, so naturally our probabilities spread out a bit." ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Finally, for those viewing this in a Notebook or on the web, here is an animation of that algorithm.\n", + " " + ] + }, { "cell_type": "heading", "level": 2, @@ -1036,7 +1064,7 @@ "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAsQAAAF2CAYAAABpv45gAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nj1lGmmQ3wgAAAABJRU5ErkJggg==\n", "text": [ - "" + "" ] } ], @@ -1065,7 +1093,7 @@ "output_type": "display_data", "png": "iVBORw0KGgoAAAANSUhEUgAAAsQAAAF2CAYAAABpv45gAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAEkTxAAAJE0QAwCQNEEMAEDS/h96A1+XD3/SYwAAAABJRU5ErkJggg==\n", "text": [ - "" + "" ] } ], @@ -1087,7 +1115,7 @@ "for i,m in enumerate(measurements):\n", " pos = update(pos, m, .6, .2)\n", " pos = predict(pos, 1, .8, .1, .1)\n", - " plt.subplot(3,2, i+1)\n", + " plt.subplot(3, 2, i+1)\n", " bar_plot.plot(pos, title='step{}'.format(i+1))" ], "language": "python", @@ -1096,13 +1124,13 @@ { "metadata": {}, "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAsQAAAGDCAYAAAAs4AbKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n", + "png": "iVBORw0KGgoAAAANSUhEUgAAAsQAAAGDCAYAAAAs4AbKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEZGicSAmIiIiIkX7f1hoJ4UFIGJZAAAAAElFTkSuQmCC\n", "text": [ - "" + "" ] } ], - "prompt_number": 23 + "prompt_number": 21 }, { "cell_type": "markdown", @@ -1150,9 +1178,9 @@ { "metadata": {}, "output_type": "display_data", - "png": "iVBORw0KGgoAAAANSUhEUgAAAsQAAAF2CAYAAABpv45gAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAEiaIAYAIGmCGACApP0/1K9frB0Z4ZYAAAAASUVORK5CYII=\n", + "png": "iVBORw0KGgoAAAANSUhEUgAAAsQAAAF2CAYAAABpv45gAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nj1lGmmQ3wgAAAABJRU5ErkJggg==\n", "text": [ - "" + "" ] } ], diff --git a/Chapter02_Discrete_Bayes/discrete_bayes_animations.ipynb b/Chapter02_Discrete_Bayes/discrete_bayes_animations.ipynb index 70dbc73..7451462 100644 --- a/Chapter02_Discrete_Bayes/discrete_bayes_animations.ipynb +++ b/Chapter02_Discrete_Bayes/discrete_bayes_animations.ipynb @@ -1,20 +1,415 @@ { "metadata": { "name": "", - "signature": "sha256:fea22f31f443e23e2d336a0742e6bf9a559c588029a2d3c2e8e69066e08c2fe5" + "signature": "sha256:47d64bacc2f597ef2e39688a14b58dc93224617c01ee343a7bb71c0cc97e6efa" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ + { + "cell_type": "heading", + "level": 1, + "metadata": {}, + "source": [ + "Discrete Bayes Animations" + ] + }, { "cell_type": "code", "collapsed": false, - "input": [], + "input": [ + "from __future__ import division, print_function\n", + "import matplotlib.pyplot as plt\n", + "import sys\n", + "sys.path.insert(0,'../code') # allow us to format the book\n", + "import book_format\n", + "book_format.load_style()" + ], "language": "python", "metadata": {}, - "outputs": [] + "outputs": [ + { + "html": [ + "\n", + "\n" + ], + "metadata": {}, + "output_type": "pyout", + "prompt_number": 1, + "text": [ + "" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This notebook creates the animations for the Discrete Bayesian filters chapter. It is not really intended to be a readable part of the book, but of course you are free to look at the source code, and even modify it. However, if you are interested in running your own animations, I'll point you to the examples subdirectory of the book, which contains a number of python scripts that you can run and modify from an IDE or the command line. This module saves the animations to GIF files, which is quite slow and not very interactive. " + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from matplotlib import animation\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "%matplotlib inline\n", + "\n", + "def barplot(pos, ylim=(0,1)):\n", + " \"\"\" implement plotting of bar plots in a way that plays nicely with the\n", + " animations.\"\"\"\n", + " \n", + " plt.cla()\n", + " ax = plt.gca()\n", + " x = np.arange(len(pos))\n", + " ax.bar(x, pos)\n", + " if ylim:\n", + " plt.ylim(ylim)\n", + " plt.xticks(x+0.4, x)\n", + " plt.grid()" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 2 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# the predict algorithm of the discrete bayesian filter\n", + "def predict(pos, move, p_correct, p_under, p_over):\n", + " n = len(pos)\n", + " result = np.array(pos, dtype=float)\n", + " for i in range(n):\n", + " result[i] = \\\n", + " pos[(i-move) % n] * p_correct + \\\n", + " pos[(i-move-1) % n] * p_over + \\\n", + " pos[(i-move+1) % n] * p_under \n", + " return result\n", + "\n", + "\n", + "def normalize(p):\n", + " s = sum(p)\n", + " for i in range (len(p)):\n", + " p[i] = p[i] / s\n", + " \n", + "# the update algorithm of the discrete bayesian filter\n", + "def update(pos, measure, p_hit, p_miss):\n", + " q = np.array(pos, dtype=float)\n", + " for i in range(len(hallway)):\n", + " if hallway[i] == measure:\n", + " q[i] = pos[i] * p_hit\n", + " else:\n", + " q[i] = pos[i] * p_miss\n", + " normalize(q)\n", + " return q" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 3 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "pos = [1.0,0,0,0,0,0,0,0,0,0]\n", + "def bar_animate(nframe):\n", + " global pos\n", + " barplot(pos)\n", + " pos = predict(pos, 1, .8, .1, .1)\n", + "\n", + "\n", + "fig = plt.figure(figsize=(6.5, 2.5))\n", + "anim = animation.FuncAnimation(fig, bar_animate,\n", + " frames=100, interval=75)\n", + "anim.save('no_info.gif', writer='imagemagick')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": "iVBORw0KGgoAAAANSUhEUgAAAY0AAACuCAYAAADK6FH9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n", + "text": [ + "" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " " + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "pos = np.array([.1]*10)\n", + "hallway = np.array([1, 1, 0, 0, 0, 0, 0, 0, 1, 0])\n", + "\n", + "def bar_animate(nframe):\n", + " global pos\n", + " if nframe == 0:\n", + " return\n", + "\n", + " barplot(pos, ylim=(0,1.0))\n", + " if nframe % 2 == 0:\n", + " pos = predict(pos, 1, .8, .1, .1)\n", + " else:\n", + " x = (nframe/2) % len(hallway)\n", + " z = hallway[x]\n", + " pos = update(pos, z, .6, .2)\n", + " \n", + "\n", + "fig = plt.figure(figsize=(6.5, 2.5))\n", + "anim = animation.FuncAnimation(fig, bar_animate,\n", + " frames=60, interval=200)\n", + "anim.save('simulate.gif', writer='imagemagick')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": "iVBORw0KGgoAAAANSUhEUgAAAY0AAACuCAYAAADK6FH9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nOqgAAAAASUVORK5CYII=\n", + "text": [ + "" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " " + ] } ], "metadata": {} diff --git a/Chapter02_Discrete_Bayes/no_info.gif b/Chapter02_Discrete_Bayes/no_info.gif new file mode 100644 index 0000000000000000000000000000000000000000..8ac52021cf0a97da54bf836452d9c68bf38b71db GIT binary patch literal 295292 zcmeF)byO7mzBYWC0Th^#?rsF71r(5$lm?ORmhPdukp}5*kPt+=yF(C=?k;6~2h{t% zcbxN__g&}NYp-`RfBKiWbglV#eSg;_CLzkrqcaX$4Rc-rgNTTTfq?-80b&;NalU(9rPk@W{x>=;-L!*x1Cx#N_1U)YR1U^z_Wk%TC-QB&t zz5V_DgM)*^!^5MaqvPY_larIv)6=uFv-9)wi;IiP%gd{)t8d@FegFRb`uZ9If&BRK z1Li;GLw<<>1AzXtjJ{jJ5zwO34)Qip-7>JT}wM-4$6~5oFJUi6knsdt&Gm3Sae9=Jdt0>h-2bROJpN zbK7ox?y1TfdMDt6N-SBOKawRL!=Tw)T`-m>mnE4h`Mz+XNVUpzzW066RGD^LF!76; z;+ZPru|mzhnv%IdzI%!SbZad>>{iEH^SrD>@9L419!)C-!G38AoDhY3RW1YYB0-`~ zlfpNrLPhRq?54;?NbXI4uBGW#-jC)*JsbFXV3yv*$C;!n_!VpT?p&Six@A^Ft<`*^ zCmN|tW8LA`?wAJ{rH%E+>%&77w(`|G--y1-v?X%i_9Si``eEarHl!cW*wIUb>?E;{49 z2E6m%GicFqCGik{7l;rYm=Q#q$^F`YpF9x9X}_X7Bb3NLf7yd;Ii8Y+-PHJN*t0@B zs^I6d>&t4aA5^-+6PS9kV|av|vtk)us;$PT?iuGqnNatv#B2N0uO;Zmnb5e1C9SR| zn%8WuC0ln&=q4GI(66UDtre`NNsUUxrMe+8Y^3|5Z>_6>aSAswLpeWu&CsRZ+Q^Po zHZ^gH^rzm;NpaXRNl)~CznPaEXUdS6;lZ(0P+YTB=npAydB0UuJ!#6Aq`6SIUD_Co zYo=0l#;{W!3+YuNY^Nz=%Imbm-l-fGB{Zs1=V#n~KOHV%p*(50y<1CX8KP9X7-#kn zy!={ZuYRXy?)3*DiNJV42{{2l(EIwL{if>{v{-Fld}TSRd-)Wq)CeVg`>ktN-(vJ4 zujPknuwp@|h#6G<2c1L_>*cb!HfxE3ssPMpoJ)t|qgK-MY<$x~V6`eemR{yzFL%S- zV_9b~Ork!*MRoN_NkAH9i2MvnE}@U$>r53HxEAm^5K~w!m}YYNzy5 zxBhwsZqt+9#@dUk&3e)%*Zuadro1~XgiqZL`vb(DC?xj#~#Q@oF7ZPv3EL@J~m3eIMP_8z)9MH1-_?|iCIexv_qjhlB^{MZ2 zhz>?L0>)OX8Sdd8SVRK)w-2uY>B+DqCRH#(&-0dXwF7VEzC}4s?lknwJs-0EM1Y@= z&|!j{1O3W8s?TWaL8J8>y3mYXLqIHn?y^55x-SErr?c&C_cobFJ`AEbSsfv)ywmd( zO`yUkhZj&78>9O<6X%F9Hov^Hd^V{P8BPc~j0Ks;B8-sKy72x0b7*lgg{06Vej|$T zJu(m5=h-?$`iH*%P_bRF;%Hf)Ra6)s-)Qi)_otKMN}-!~2I=njqJ z$hka>iVex0FZZvONXib@9+P2`v;oWIXTk*=>k|qFam%X@hRgHlGF>@{-BV0Qac3VP z{bKy0Bk?8eQzFC9zN-DU#B8)Z*#^wXYPCkoR7sW>N2KssL|5RZOWLm#Lyf;+^G1sQA%6~soq(BrhWEyRW=a@%N>4KRZ#EE z@C9{j;QWa$=le@Je`YM2`x9Cs%mgE{h6?F~s}mwx(Ic?_v09Y&5)$}MqwYD?)QlzC zFHTQi#IX!c0UUMM&qPEdSc2Qb3Zz6kQD&L7N1Wx$~D#grmX zpn7RYm!V#o_0l)Anm&+1G19k)b0TYPg`uwT32-3rUVH_fAa!)JV%B_Vo~b6Ik`#QE zcQ!1bf{syHBwI;*Z9>ERtvIn8XEK|27%Ubm7`7?0T;>T!Nq`>?{d<~;JphwA0*{a; zB3zcFQ%q{&0M4s-6d9QrFhU4G$c~!x)%f^p#tIsIhIa2djVQRlK(KkpGGMkqNywINHyuF>lkpV8Rd%``W0K*`T3jI z0=cy++lUgbL6-}f9p{wCnuhKoTd&Xs&t1R0xANpT(F#VIRz5!!_o#JQRHv?^MB_B~ z@p`g|hCQA407=OY&2H(Qf@(uvYF>cWsdl(9_XonUKJ8O@C`MT3WQaBG`Bn%*DbQJZMYSP$>~Pc4IzFU%Wtp( zNEMAK>JUc6o6%o=>fD#|*a8xd2&dd-nFnvpuRi*)Pm^6k@}7XetZDLNrD4#;}&E^H|;+Nzb45 zXE|Wy(^70H;+nO=Z_ITWoo^t;$~-$AK3knQK(5P6g+B4R2CZno!p@%l^M{lImmo!G4Z%4}vZiliyN7xJz39(2-O z(k^QHB9s<=KuL>)PkG{0LLUNSo9t*Fxr@q_r78mOPk24*BSi^6JP%p0hTqK>Lxgjk zPNZ^x;n#d_K#P&XI5X|t-WjcC#NB*6e~KD)z2`I}KYLnr{{3X$S#e3G`6Yd1sXMdI zxJ08(Le@nmFXS*XqH%?K=%R;o_Mw}P1yd92;iMDfI345ThM4TtXfos^U-sjc%Fxy1 zH!2Lya<6v2Wkl=)GO7%2xY5szQ7-{r$O6L@;x9Aca2bE(5K|(adm+AA&<9r)HGRK z4xR*E_kNUgq!u=3vk38sThR$zfwoIfv!aByJ5dG7Iv0qcS)besg^kRM*b7CK4C%NQ zc!~=OPM4&LLW*4l<}||>$ay1A1DzugwS72qYP~HYk(F6piI>1shse$BZhUfZU(SIF z}` z!{LG6vcl7M13d-Qbmi=cqCA7;yh!Ac>B>*sXag06u}kdjlxA0SwlL@8Jr=UqW_PMj`>ICI_+;<^!d{ z>{%Nw2Y3-j+z}_L5ob;j7YPwpbrIjEBOn(MF!+&hJdp@$kw`&Uu&^+{zu*4xWj5eW zeE*lkSJ*sohrSy#{d<3)m^1kI!JHgMdOecLqecCnn3IHiHGG3Pzzyb#|69ztko5ge zF=wU*#hl_T<`Vyz9PR($DIR(?tENhMKa}k6@os$l@vw2T z1;dJOn??Nz3UNQz{`ccyv1dJpy$dpmdwQc@?Ps4I_pi?v#{}IgCo%j!Cd~SjL9RZB zJcE?4qS<>SY*tx)I^X;B#q2wCkLxfgb~+5oXU>AF`F-%^*q73a+UNq5P_iN?Fo}K( z3fz-kFmkmP95x+yp@0+)G0dz0q#4%tdkGl7e-VjCl@Y0sNVb`D+QgBOoCV`T5; z(1j@Ru@XFXE7HfNx6$n-&WH{u3^m9ybdFJ9+lZs@&v^)(k`!tJ#kDEwKf*Q#!rO*n8Aw`#JJ*QMH#=H=ax0?9;gZq2DB%t1Dd*nUiiC%V%IK#rh*N5v-HI}*!annQR=W`SA>z@{S4 zrLw1%mN!*cd~3n>h`k%Y6y+O5Fz^za-$WkGPa!M;$q-Qj9#j8NA<;V~Hz0)}qc91` zdtuH=QB43(rws$|My~UkiC#5`VUp!7&{WZ6a{}-NArBQnG;TOwVpDyJbrZ+{Vjw^z z6OJrJnnUpD)U5akl#acdV0+McWr@x9Ll)v;tL zk)hP+ixak%@oi_P>E=QSnDE8R6>NyC!M3s5fz6SD$U1Gvk~>2Wh7vjz@t1WBqJmJF zfSp=z4Q?22fq}QKnNfIOq|ffz-9y<^?!jrk?vcnP>$Yd>aljNU`jEvXP{!^!SB&I@M13UE zgCq-M$3QxDwCk&&ReH>ejY#&FV+lAzxj}O#k#0}MmtgHvw>7pRQd}kqE%&`NcB54K z)W`D&+w(nNY==)1^d%0SmRil3g@3>555sXNo!8h2BXUh*4CN??|7;${_bp*W`K&PU zdi}dN;Y`bdgG*6rl-Z}pbLFqk>KfeNSv~*8*XF@o|47$Tyj5eac5T0r<>kKA0`L4X z&3+T}sFfUq_sa+6+U6MxQb)aSi(`|uNz_EufaAIk7vWB=@C)-^o=#+>@ggk{1r!_W zuSs90h`D14DU(wnN>4SCBHD&Dj~wCY)+kz?2dl8C)3%KkxgM(fM)r2ZcZq+(=W;H@ zhNMwMb#KZVfySSWXTeF&^TU&74jVZoG54~fN9DE=waNrYydzp-t37unDcPt9nBO@s zaPe9}C;M=|zC}>k(3P(%QjJ5!slu*4YC&RI&BD9zWHxHyxay*gt>7>bkJ}M0SJX?Y z#1usV-8O$LWx)1N%)xh^)XB5W;xUG>s5WwxM||8dlKnP22RW-7`ncyf^ljlAUM-fhfh}1*4FIH+4_+oBhs6X#z?Bh9Z~#u2LNS;Mce2>U zZepO%eJ3)cNH@VN&+cmmLjg8ICoND9au6M6XHcnYyS90|OD8hobS;pM6~svN2D84D0DBO%pj<+occ4oig~BG_O&oROJj8q;G9D-d z(~vR>$!Zmt+YDc5?SnrJbcsY%{>o81N>bzzYCID!b z7C~Sd=y~hBw@~LTdi``>gdPfaHwvAAd(D&&)On)az(h>%t1fsfJWw1fJa0D;e4wmb zZckJJ4zczo(LttbMk!?Vny01Q}l&8Z}%MN!fI$~9IValdaU9}mJtMXo@O90vmBgx0EY$uxnBTt z4|G$=0*NzFTkBByz`;=G4R-^-7_p8ThgPNo&;wmtyWrD)JMT*ZFgV?P^gIyzf<1Nv zsIUPH(T1N>3CBM~ex;1WTBlSJ$j+Q_W%Yu z{#)m{k_`P%owt4CyjQo*OZt~OFY6zj=hzjV^q=6oVXAxO6w`lo9^y+mTC9}EsEAqr zC+AJmW10PSp6gHN@%=OB9sG12Si8BG0fXt^#CarTd`IFB_uc9`p0QkejmTPEyVtf+ z?F)hx1z=GuwOF3UD@Zf53KsK~cQK{AB{CZF~*;> zDR@yzWWA3fG8IQC>_@vL6OUr;q^PNrkwsMpB4uVa>60>ipxmbz$MGm=z^aBWrH6o)s?TKb zLf$U`DM)9|GLYGxq%yS)5-W*zo1N(drtKIK%>>E*kTCG5rUy_$vop`pWA(EWNM&w|~y{k_$MuUy1 z!U_ijC!-5>s~IHB)E}5Wku0vI+IE|kd{E1YTDlOs%@f3Vj-f(TRhYGvXR@gS<(phj_pTR@; z)IP?I;F{EI_aGA#1I# zH9cF$w&vw)eUH-@fv~Euli;Y-~=GoG*aA8?wN# zbl5)KEh0k^$k_UvbO9CyFR*ezV5^rZV7+^}x?HAvuPdF$ZyB00uKeBGRzC*P}1+1;Dus50U3T3B{}o zUrVsd^w=<=FytDjF{H`)*bb$2Qk^Qg~Cbh!|cYM~3h~kFOlZbDA8OZBsh* z$|`1d_3W?5`JXxF(JR$GV8un%H&uF(@FwAT>KbO#L7;5oGVTyGv?Jk;=#o~dX22vJ zTt+*!3|r$Gx*T-<(|Na{-L>qQHawwtKjmvVSPY@Z!IWec?Swpjm`*Uhr(XKl4CRhu z;xGtg={uC6Fy8lxwxR^ENCDKt)?)42@Fan-R9cJtWTKFvVEo~Jr0#d^JA#iSHaQi_y%_z1#C^O7Mi9i|gA1p^_b$T!`_N7thd z|GMMLyS(l%$Cv*hdEI~IIM2UzToGS-08`2@$5q@oZkY7HbR65Cj$_gZMi&2D$Hn}k zZxxFXKjy{5qS*XU16rj` zVdd8Lx4qsuOpX$LRI^9aby9H;9r62KgAU^#qR>?MOY|!cJP7FS2VmR>wbjf=+Vq># z(21xu?WL5F2?1KL{KX|LdXExmL)S#s#FD+4gb*e0);TcZrETAUQVAg0!G^-Q&(%Vk zK@#P;BdjX2uBM=OXo`6vzfK%018I3+Rpfjq6unSO0--04gx}QuIB^8&j-?M$>7r(c zzQxg9_k-v07C?lfe8FCtdDdu*Ui9n4F=~VFet?4QR;(w!bkO4fB}EGoY!3;Mo|k?T zPDnY1WFuJ`4D^vL8A5HtJI|0(<)G-Z&*NkuW?dmr~*`Q|l~bV-p+Rq2c&i z-{VP>n#R?-&Uu;G`CN2&3#lYZsA_XqSms2_%uVcx?Zlwh!kb+Fu8mOcE2&83lYmtz zkrzeSV}T^6xpSeb=6)`t(WQ(zZIdRUZnIKlarVVsPt2Ys5me@fR~IU{uPA?Vny`6& zniA$-^6J=Sif;FG)YLsnBfe*5#J@%acR-<`zlf~kt>62esxOeFZ=aOVYw}^G%@1Se zK7SYCYRG3s+eB|)Sguj5oJ-x4-q)CZ67$Y{mM0RG)`?GpLcVqNc;CK?aPfN0k*1sJ zou6m-GEuA3cSvpGAQrO_F)6t;gt0xFBqwjFe9}Qi$x<$M_GmD$^8ME6C!7dyPwl}Q0p4v8i zF4Q__aFHwB)*;l~KG<_<9H}}LFLd9%HhJQ_F^~$bmm^asQg4lIBidrm+xNg|Ttt?= zXeERkGz;=sez=CIhE>ARI&d(fk-hBIfE*_u~SQDIu zKziS1c(P&)szSMzT3#VI=>4|=sTu;NIhkw(OzXJ-9jrGm1rp(bz&)}{q1_+NmrDI$ zLry>wl_~@SBu^Ilfa^T4Mf>7n{JGBgPrN->2o=VfIS0^Ie!9h5YrqnkVuiDaDjP~) z7ciyS9cs5_Y)~RAJoKJ25o$NE2VsT>c?E!#17srbl0*lUFCCSj+mkrs)^1tOWYb74 z+KBm6KzMNwm`u11YBzx!yQLg}$wpj-SiOl4k#FpFU;won>~Fipm3yUt;cDZZ$)I+N z^d^czL6~;uv-Tv{L1BX?b+7;`Y9yX6;9e~Nbpz-ChD%9DJqrLU(SZe;y>9GwCpmt*oAtHA}QV1!aLkq_A zOjdE>!~AVGvQYdCz(*C=H-VnAwgDtMJ|qnkq-9EAr*rU*Q(JU28u+0Vcn$Q9Lw)3LdBpoO`in_v#xS;at2-s8Prr$SRPg3|8RCvCW$$+I+xVAe$asoo9blAg?zo zo%y;fR}`CJ4JJ7HWz+pafwv6UsiyqJdx}NTSz8jt44h@NSjB29TPOXf3e}HgifPEr zrl$#B*1E`-jAk(k@0xPg#R->6jhQ`*x}wc_c$zDnS^$UGC({%TEF02el6{ao)<~tB>^{`Bf**PD-x^2@}j>#6IeO;ZAYG-5nBnJ3i=KW0!Ff%o=GXdNzR?0GbC<( z;cYGSIF4K3=_S$&4TAH!%64jJ%f9hLEZq9xoSZlIlTu#eH((Qa0pIniKP|5zkQl=$ zEK$Q?w}u?XcTsTqz-wvGqH*r~Lz5oHFPCu+TI&Yg@Gp{rP+wU$fPMDe<`OOG!Fs2vM%ojgkzYdO> zQxge^vJWmaVw;6VY~2+D!#wrqpAxE>A6kd{ap*;ipD913DUbAYn;}0h>?Y=^EQxko zq-Jz(yAZKZ({wYyW4kPuS(^yt@Z(_!>FQq+JciJ}=Tmv8g5Rf!^d=5_j+|KsG3pCtt6;zok^Y;&i+8@Guh zjmE^;=I{<^O1*FyNp`R^*fuwn%eorh@qR3p{i;Ydx_&e_d_Fak7JVved`%-TcQsw+@IKddo~y8qQwVyM z8u4+}LihRH^u9+;wRFy|_lX19c^qQx{P>=c-M(PDpf2iH|3b+JEHL3v?xopH!j((7Y@hr5re6#W*vh4~_ZQ}aoROTA-`H*TpV^HDn!AhRNW;eOtcH{lSZU=5qyV2d+?X8OY)PG^O*?+Vf@K3uXiT%CZ8pZzB zZo{{B!@RNE8N#1-%e=GOzgsiPo!##2c4xQ0DLuK%-R^R?-}jUMIl0^a2fHOjJLETt z|GsT3Q`BT)e*A0}OCQJ}-pZ_**f+6TNs$ChL^pT@_kt?pttcZ6O@S^!0yfosfk;1A z8+z#>;us2tgBkN3BMv0FW*DRkp;pQ1f&Ls!Q^my9o401hH*d`##_LWrf&m^^$M0b7 z=L^tQlo>n~5fXV0>kFuq*4>Ih7Z1!Arj;BCR*yyhc10s8xycu(ev(D@mQIw{q{q^Q zJ)16PL)>2ZrAZol4y$GXorZdUd@EMYV}p26+18QOnUh?yflYdoq`r4>rZ8(B)MtAq=Z~AOt0q*UzAHI-g%v1G_)ZjCa^#1UDCl*>Ovj?* zX!zal(eYGKOA$Sjjkzyt^xS2}%m9Zf`E=fx{Kd<{{5NEYi;&xs$MHSO_oU1v)iOnq zY9QYS(G~5mb*(Q_yc=DdKlE zf0)$!0q`q#!<=$iwKsL@;FUibRcV^A-!&079=-|N=CQThwq4U;RqUJ2R~ZV9f);#E zqEqHJn;%ESu|x2=GtZ=1{n3h-?mOPtElDt$V(6#c-udwsYa@K&Y9p9rUM~F8ZkhGX zXtmQ7#Qrwk2F3YER_!%J#}$!U{Yzx;&Wnf*4x=}D4Gux|a-x%fXs+B9ny%@-=bTWx zy={5ekkG4bcm$bG-%+5?!yhoJIf}_B6kvnD?6a}ldyDdRHPk#&$04^k`S|-ZKVk5I zG4V-io76@L!K_W7e^Dml?uuxL{h&(8akfaqrWC@gf_rE8JKQr9S;r6K?pd}!BnP%+ z@}7(pJ$+xyn5v~zmM|IHd7L@%%1rf(`c%E)N$JvOvrZZG52MnY_C5nIv^ z8TmGt>xPJ=j^p=J0CF0rI39_?xEH?fqm(_tvhU!<+T=9fzS03tFTX9T5*nN=W0kHECsA zdASE~uPR?~&gPiyN+oEf+eTQ!T-yH)^Lys!cQ7iHQ zC9w!gP~4GuLUH%`7I(xygSkadLRc^~n7hGUy39}9vC?_{3g+NlId6lxrYRu)Z7??o z#a+6`O)w|tP4>uLDAMOwFn5bP+&_XjOdn`4H*oI42@U2Be4xP`0kVVWl7{L|Z^H$P4io1BD0rL98RLPXpvhdb zD>Rvd26I1g_Y@k;X?xt@&cXj(f?si$#~v~$1{%z1`$2;_1Ugg}0Wg_P05q8U+<^iO z_6o~Gput=QG?)E)yRu`HUJF@Ytwh)1W%MqJR2~x4(fXqPN1Rz zeQtFP(giDFR;PBq-EyuBQ8}@8EHaQR5rhG>_>?cfe_~#9H0hljwB(v^7(MHZ|G03y@7fkCd&nuu*+dn{@T9yyi~4@Xcg<}Z#Lr(~6u5KpRwJQh zCF~xYB55pGS++79>+C5{Pnu!iEBim(GQc41)dO-~z+gqnn`KGDIZ^y+vD zv2o(~)=ON*-NArV8NtR!OOZU2;?fi_oWZu88<;+ zp@ar=vQ0maDnAhpuIDm9Vr>Kr4iVjJ*Zyd<{44I7XkE&^?o+J+S@OZihLQ@}03~-8B?8le)OG?O%Z6b1f>vrNb<1Hf+F_zusD5CSYjxZ+ zHuTwg0e3+LL~P|gw2Q#I=byFDkCiqA#0qUk`YF3zsO*M+$!_vic4fD+`vR36%#G|O zZ)HdLQ+CasgiD@K*^&Q6b`Jr+W%t#E{Z@93Q$XBX+4VzZ2fmdZt2Y_YUC8>k>|kzU zJM2GXci;_`UEh=oJ5+YVH?qUS^W-bPl^xkH*~xbS;pzY+zh#Ho?PX%@B>;0HJ1Fdi zpt95Hb^+00VqE~A-OA1o4-^5FUHUKCao@&vd{Eg5+{lhn*+13EuQ1PJ2N@Ivm7Tzi z?BJlXBLkBO-pFpU1H~CCyT}{ay@SfmI+RGq9VsUCBUE;B;IepEKDpnr)4q}2NW7bW zH(0hRkR;<)c4Y3Kp|We%F|hWY5e^oAek;4S;M(|q)@b>+xVw|xo$T&pcPG28yL!ui z{Z_%9?CxauKR>zrcaxoDtST0BkO&JyacH!D7SZZkF)_H&$TcI7o%oIHM&mx%feZ)= z#3fB%ejA2G;T|ZEaqJyS8zs+0E}_q`oE^&~;K+L>q9o_XK$l5!TEHt^SQFQ)_>>2` zQ1vatVYJGGs3vxi?1X88J^?7nL5W`ru}HoHm8R0Wz1T=ZR()biA^iwPn=i4&D(B!?285(S+A7u9x#)6$Ulrg|a0lPvY8l-6OzuL(6~o+^pFh3`Q? zrb~w+<~KJ=#C`iSpMyXHI()Uu^zod!ff7j_m$Y%DxRTn55^J?yjffsu&YPwZ zWx?Uu!LC}@5+=LN-pS3vwur_ALzaJ(F+wz79aW_ac5QF!Ehuelub+ z;p_8k+`?537Ojz@FW3IG?{@gbS$gVI(V32oC5rZKzZH#re~gDR;m#@(!+=Ca7WPg$ zY8_1^P{3zLw&ke4Oxu-F2N0v$I(=QNxwiWJriGHVMvYz2ddnr%&;2x_70eJU5(ZnOX(EO9iPa#@TI! zUO~A>nj`{}IAr#U(iVR}6;c`5#<%{c;d0>3q*dgpl+n|EFzaxhZG6UY}tny7C$SDC8MkDzNi$bXylO5*ib?w@YP7HI#648A(qo&%c)1;!ai{ zN%OZWFxcIa(o6EvBq%L)4Cz?hQ?KjDInDCpH`T4WnlSxvilSh#%*T~962os-(RQpK z)-E`MuU}IgVXoQ&E0j$Bzw=lMKm{{0zsOAaFwqY#)Jovh{UWs@AOC|42RVR7l zCw>c!b=NQ53roRlYzMye4W2OPjwRUWd%gi045h^4?FKfxZY(SNXaT4`E%->Z96 zdAQ0C!6;2*PV8Qx5V{Od93+pUy!_JZP}j!$G;$Y*Stxn4e}LY@Ol#c%y#d|9!$mP2 z+G)8_Gr=)z&ukag_Idg7I=2!@ovj+592i^6sdL@u1Owsf9a#w8m9S zO7a#xyz2HmlQYfg-H(*b^$K3gcy#lVjgL8Q`>u^c{7x>o3k!y{R?8FL*7L1twI5=2 zj~B+VZixr*bhI?C-qfCa6Fp9YZWR>3yNncFz#60FGd0N_OxFEvZ1=0)@?7|@3kI3c z1p`1MP~m35K$TQnF~i&0`PYI0q!Kz|pq)ShD}3f9=Y8q$Yr^0NapT9*S<&r+fx83| zDOIKb9_{CCpihh3X*)9FOs3LS=ev7Ew`cFmcu&c;=!-+To1XR6(~2|mKxA*%gCE0AYBy5&RBQTZCSP9`sY@`-^%XKdds_R%e!vNyY0HaH{M;h<-c%{?ylSNFSnU@ z-Io8x-Io8Gohbi%x0$|wf17Fa$oubaGZX%}&2;=f-Dbu^jQ@x6-9Ja(mT5KxeSw69 z-)LmMT~4(rz4&WX1upqa^xw#Pxy<+Y8X#@fn+uKl^2MbKU&i;2KY=+-7bcFAPn4V} zq?jmJK`9jTCzyCFJyEEw#GuTNG*NoARiq=mt?I6%T(yN-VuHA>-j+2HZaq<=<8Ah; z=!pta4R+c4(e2mCSK}+NoNC_0#j0p?jcp*tir|k7dJ`+tU80kP?j?+x(5pRfwbU=svjm?Kz+%D;4rZzDt72E{1oZ!$sx! zVpx&WT=Mw)HH9jqO=_OnF)xEouclLX7B^TXwWD^Gk|iKKW@P73ZuhYth47*yz-@dF z_2MZq`nDSipJu_qaDXEW43elhTb4W?3Qp63+heAw<8r*Jn3Ay|h2rJ&MyGnDG@H;L z*Jk+eGwSWs-lxYZFDsi0t7_Lo#FN5sMp&j{l$owU5Dx5E7_naF&CS1`wrvF^>%MJ zT@6Sa)hASa?Q_-mx6f*l2Fr5oe&}Btsh`hI+J-A;^STSY_T-sLMYk30+}TjvPV($@ z;H*rRo|2H&7?TODf%a8eeBvaS8{KoLm?^ffVB|GU8IbxgGiPBDkvzQ`XLqSgi04v8 z_<4@T0coCiU%yY5vxz9sV}EyB&#__reGYuSy!$)msO}{S?+aH<84bVVxTWuFoJ}94 z=LhU^je$oO0LXs9p?84m*E4!hkm5s%xVgHO=F(Fq72;$5=c`_1q>CoPbOMG}jbD~I zhr?YI$uhrO&eA+{9%W{>DzLLoK@18*mJU5hVw~Sv%D6CJFSkB1PR)C@|HQeeX{=o9 z)!JOnWq-uNUar`m>74xfUZ)QF!ujBN)3@t=FmmGpycV`6YI{J{Me7HRwm$~x{`#)& zOAP;XGZN@H5LdC;Co*&yAU?M*DnpJy0;A(jrsjwGWDW>|fd$Zg15kpseRN!?Fl&*8 zP$uVqkEX%Mx-dPsuP_38t8|grtGxDT&5OtklMf=?Pzl8{9}jb+9Z@LKGq#AbGdI_ zziTYzyr4Cf<+RQO&|Hqy8(L!tF>>d_ysfbWdqHa~p%<6XDwK^b0K)GY%L7`lY`3R? z_H7l)?ZKrOp7RAQ=G8fn`nJYW3J+utjpYuUf3{ds-?muhQ$TaMNH=JWC8);NXWA#? z+-(FI(tV&cmK)F-ORxu7h99)XvU>tW3tD4&5CpBU^n>Pd!@)!qu1LqhS_oZCHhc0 zrqXjl$zDQVWVscUvNf*Aw<}JxAuygva0(^c7L~_r`9t!h0=ck4#XL!+C#>&Z39gD0 z<@ZjMicS=&Tq`ScRVtMw*%xZxH>>F^jH*mKEfE(lQZMV646Va1HGI4M>g$?fW13Q# ztERH%qcP?{SCaS7!nH&|P>cvck5|}dLogn1=FoTcKVF?FC zkIDiqp?l@QzF{>*;8ck4ODNg09!^w~Mq5}ohK$d-geE1UkO@s6z>YN46s~8q*+hkC zpwm0nzeFrHB<&u$c^6mex2FN%i?7-R2cX5mjubTa98*;Aq+!u;8 z%Y$J7;$MvvRxX8r6bHP^?uD-Ke6KHY0-J{4S}Hkh+-7Zspca=YuBNy znc(vCI&7SMzehVH_k9xD+_4`yGE3>gBwoBn^#J;*6ffg!uXki27JG1T=p8LiS5nqI za`7;q#-l9g`bu7@<-?>;N;#uK@6QsJ^I88J9e$ap@>ooptwG)6`rcOykKwakeW8!X z@5jfng#^$a>EI>vv>3~$AQj_PBHFdQZg`KHssvjf?K z?0FqyTWw7QL#o9bwzB-&2jglKjz~u(e)l(CKaih_XXbqC$+&GWMlh20l)N&FcZVXY zZpLWseHGWoUA^ao6Q9Dx%S%dj%%2fXyo1zK@D}%`b4=ECrqwvUx7efVB`hT0t1;x^ z#q{XY{rsZTp}FsR{ZQOxw7TS^9zEPT2VHIcO0)zS<;}uQC*ks`jD7X$&x^~4XD1&a zh)mW@S{e*6L^{6SMMs``jf?9|+#l8zs6Z2+*T}`ryV0bq622utmtAIiOL%k?_xZly zKf3}$^_I)Uzuq}nH}Z||XY7`E!LMbxmEfqc8De=tL{wt!Piwyu_OKyqL}oME^>Rr8 znd{FD0zCUOOQN*{DA{hSP@G!7eLO&`L7RnR2w`b#;JDck|0~&k&Jp~>lpOns<hzF)UO%2_$ja3895hXSny5MrU*Scgd4ey+U@~BA7~NCen)M* zH#2gcf6U0?-OR|j#!Y!aqc)nG89DH57yJqC&5Ru3&!~;ej<~`j#2Wm2M$QwF&hG~@ z0{$OKTe|PtT2HtUPf{=M+Z8!qa<2er(w6lrY11jWiP{vsp;6laG-^B0k}(bx;C3EU zaVN_NfJSZnH#2e`(5P)28Ken~+J@Cr$o!#ETjtG-Tp%=REAIw=GGeVX4u(c;djZaw zUGN^iqqa{sGjgt#=l-YX>~B)RT`5(@*}pXE5Lcg(oGSltS`rq#EwZLQ z)kLvW>Ll`6@L9Xkr!%PAm}6ff8~^FHZk4u5?1~@`MZN~xCa>F8N*FE_vzZUNoK@-2 zDvYgo==!#IIu!%N++@l{eSFWP;#UFXtlVjBb6BBL59QoU_$i;v{n9siPhQQn1~Xu+ z7|}3TxA@}6*R0d;+0P}-?~+W_BlfQAx=IZ0+G!`+9F%G{6usU9)qdPVEc3V-4>+u% zKXS_e056CyT(GNVl~};na}%?@@oolY#R6`|$S~TAEu3rwUO#$Y|3FV@MtWNAhNBU6 zqFdK`@Uh&FL+T^0v}!v!l8q~y)bd5*MccmLp%dJWCQdCk|M|ptkP?$N$<#&X)e@@+ zAKx+_u5%|Z(&MxLhrPE9i+b8H^R_e(jg7w|2KmeYu)?ad;gE;SkKzeo;MuF@CIJ+;(KvkpX)4r`|?Vwyb#w| zreDZ1$JLwsLXRrhyyYHfVx@g(mc`)=tsl|c23cReBb@^e>RXgxe|;f&y05p)Se!zKWiPzGRHB0cQ>X^@zRb^ zjD1te`(+JvkLR!?9J8!uDm{;LimmnTJ2`$8x-Z$IdfE+|^1e{%8^|aQ^(7acx6^;F zn)Q4zBblq@OQf#xi>N-TXPR9X^pwp%4fVei;m+fw%&syj~vdql`EKt;@N%DG)z9Yw;78bX7*u2f6+;!=%(V0N5BjU*XFL3QpO5SQC8~dr5s(u z%0pBCJb_W(FqxnS`KI9Qkr|44Zp;MeMR299<6YQFn?BomydrdZ!GQ1Syy$}4aEb&j zBUfLT?sl*P?+CLt*HeL$?Gxfm>)yUhq%sDl6;J>jsLqw4!#i}BQ%pX)rpP!g!Dzcr7q9E(8yIRLjPhSm>vDaMBt?HtBC;e z05B2ki89?X|7jvv`vw<1K&l8NE3fFBmjm!OL=hUfEaY7rppiqU2u?I|IiLeTMR2-!g3!pFs0ip08aY5kkd4&H0V)EZ zSjbR?oU;Tpa*vQ2xf2yZpa#I-erV)EA&9%UPh_VWxgflA@<@#wuy_J!a>=%t3uy~@1(8xK+ zz5q0GgRVa{a%m`y9BR&Tc6N4dZf<^l{>zsyi;Ig(OH0ek%PT7@tE;PPYisMMzT}@X z9O5&IzoGaWioc=w+wVH?e`aO!eiT4ztI>wE(Sg1U1Xb-~%A|Qleal+x`SJ>FS@w7w z@G53dX=-m`e|p+e7H;12qOQPn$@|&BCpq^=rv7-E=32q};;Eq0v;gd5Q{OAy@BA&F zBuGEx`m;WRurk$cHmk>Jy|#sgVKXDrxS@bk;KM@M1j(9}an#8Eo2LcDB)^m+<8STk zsvM5-X5p+}cRtS|mst3W^t%u4%rHx&pfkJWY^&-OqwwlI{4XxoOzz@e->tz(v85__k{0C31anH7P6#i#=LsoIMnZGk(fq_v83dK+nT(S zA7#v{qXtueC1q}BX;Y8I&N5>RlP4v zBSuzQ?4cD_dnvYWE8ik?VJp4rQ^mR~eRSp5)%+azG1aC_S=u!1ZphKg=~kzBUN!6h z{zhEs^$3Sy5x_*(aW{W!H~y$<<`pZN1UcOpu`=ldTB<1uJl?_7`& zeQv|6eui!x4YY*m#ry<5G2kDF1`-t=lpsaNqCD42?}&Dj=)U8qzh^a$5D}(irP1-t zJ$n+)_z3(4cD#9)I~PE;cqtoT9L(D}MYghCc2rInKL#!jffE5waqrqm+>3XltVRr6qWv<1BD8QigHj6>L&m)p7?=S$g95-e22}^dz$K9j z?S`G0tn2B(C8BOg|6>NF3o&pxSOgUV>XzBAzzoXOJqMvcC&a)dn(Im2Q-gttia{(3 z;F*)WN1p0zDd{Xa@qGscm_ad2g#zZf%X{F5$Qcwfa^e`EZ|P`z68FfEaqm75_h=n} zxQD^xktXk6?BQ^LOB@H(Eot3>85AO51_jNDmd+EHLCLGf^8n(WkuMPUGJv|JtRK}a zdmK~0Rv_*{oGL7Bg&^MF>z1PazzoW`rQO?9Cz)U`8Yefzz$KdfA`thoUuep@3|{e( zq<2BoEt7oeEdxOjfoDnr&kY6=><9k5i?a?Qj|jS05=1o^gsNMjupJ89{W1~pZ%zE7JZnm@2;Pg5T)m5bSVO8R4{ zGB4AoJzZs9;Je%#`&Lqjd^>Yt4!0c(8l4ppkL^Tm3o|_9)rR-;aFHFSqqaNPY<$n} z8b3|1!q1dzzE3mQ!IQbLpJ5bs_SqCMM_jnr~otHu;iniT`fywPJeeJ`fp zM@-nurYdyxIVY7jI>IV9?yg?Abp0&NK^Fm9m7}9RY5V=Y-Lfs=b&IvMiRm#p7c+(@ zF4|EON0lMfq;sqG^g^k4QH3=WIEKczS*EURhF$g`3Gm=Pt4^#DUMFd_j?tZVO)7&g zkCkAni%Wj0Ndo8w+dn_r&k(-F<<^JJ}-B81V?NZYUfySa-j*f)^<8helr*MJpDwof2aOCJ6-AqV->Wf6^cb(?Fe&@Zk_)o9 zE0!Pe4)q^b7lcJsENQe34OK{6WPgi(ec_%WEG5~ZxPC?TaadXZC{K4$`$IJg2l@7f zexBSC<-$)|4P$uIoN>p#FEm>Zhcb3{Kjl%c>ualb9^kNjq9jE|{h$i%^0Ojq_LR1x zt6Ihl#^oDyYu8JG85B|YyQpk0#qufg#+|IE9eSaH(247vouQIkrr^HvyProMXnT{= z#RSMsVcg`ea+5YnY>b||EyLfYm>G9DC{+U6q}0{`fO(s?j!(5&yVwm(-qTksh-)9f z0#>(OwyX(EXaYZvyBOsp3a`vq>z!_0DtAJ=T4{E|0+g5SvUYloX<`dKwpZF_Ee9{P z{?Ll2-nO2Gr2MdkTf#SEv%GI&Pu*6qMgNcN1#5q?7d*85)n4GZ@-OWL?+AnOs0C6S$M> z#$k5E2++X00kkr^Y_lv811O?ED>K_^s}Yj`Ie@}_(#kY4r+Vb*Lv%WT(&c!m$(;g( z#i@h&nPM7@7(fwq&y;h*Fm}2`ha5l&bf=?344{;s)G|d?5v|OxE zp=FJj;is+4L7oGz9!}Yh+|(baZrVY;1gd zymxG7Vq#))a&l^FYI=HlW@ZLO^ZuOO{tKT`@eUR5Q1K2G?@;mX|5m*F_>|G@sjp7K zli+w4B+ZN5P7kh9mt)_2`Uk-HjQrA+=I_Hwdv0YseKae2qZ<8;j;M$J@n^-Q`vWx% z+nJA*(tg~{Oe@@r4y+`yEXj)20T`a7z>7Ns@On)UzXb9DXZ9#TR23U2? zM)7`@E_DKr)pScgSFqT0MUBt@75rjgNaRE6UWnN87DMXKRL~ZwtMBO{(QA=)YwhM}( zbqwMd9vbK5Fdu{KnoW%LU{cc;CBhqcq?!D^-cRps7B_O@Ym(xwtYDw(qJ_5?WHL;r=z6L0RYil3q9Tb-ov2`z*`( z$X=7oeD|{G3}Kmfosl~^sSH$K9?1;#rP)J1P3iZAWWfoG-QuV^W`Jnu@Z%a8rT zZ&vB76)besJk{a&iz=t}A9eOz>3+%+a(P2Txnpt}^d?K1*C_|a4J@n@{q&Wu9}F_* zZpFkzY2Q2)7%6wR%xye2uz?B+EvoQ7cZ!rNYfGcG38^P(ez<}Yb~u2WWl_x$ZREmk zTX)3v0$98uY8VT?hox;%K5AzOb%~n3)LC2(PdUCeX%k3Wab-Tekn2(qRB43P!@7-k zbu*%Kcu>L^kJ&9o-4G_Y(BQ&|h^E&uXh&Fbo={@#S#bump)W5er_Dwh@3teB9t*6dNE?;UPL{0`~{qx+EZ;zdWDCP3_93MvzZ(x zJghrzJmDv_$4I8q)-P<+)0rf{iq+S!)EzVmJ0 z{w5j{;T?@e_W$ZH_(Ajjg77Z#^Z$bI*4KUzJotBnS0zGpKXCX5!dpMOIdFpT3fb|d z5eRP@3nr`%Ay2m7la>9A;B5f}5AvPhjUWkL0g~X&0t8PLLGa>`1dr~7;L$o#-a-(( zsb314Tso%&?>1BbN$_f5U}_}6>j4Pf1X5%W=uB&DC)RZ;GRRg32p(`#ryq~Ow9XeQ ziy(O2yifteUMQHc$lba;@lX*D z74c9J4;AtLFGoD{G{42gyOn32)&1fgcvGMZ1V3cN8`{nchG_kIOqV5rdxd-_+w)<% zI++x1g|w#qclE#qiA7F$`?4Bkn$&B9tBxSGT3j66iq_XV`ChYnU+S2Ba5p*6lN7^M zHS4vXe;#^P5ZlVA`~89r$aT|GHn6FSmYLQJGWz<^=OgYO#f^Rj%E7v99BAmTj`X~R zUNDJaU3}@_tH@@`xis>?)3V%GxYN2jYRE39u)rcB>_jC8)9Q{Mu^B8=*xr=On;l(q zXdTXW*?d@agum|4yfluTQWT6cM(I45riy#Lu!dBe#i?~$#k;)k@p*A}cTT+laIjVF zL`!BegluXflCPG%5aRu*Z_>-Q_%W-NfiHFWG3aK*04OD;&quxg8YLZ(jG|0PuEQ-HAdgHOBkRr}HJj}XW>r$LYo2LJ2 zL`bBj`um7#{mfjGppkLmEegCR(h%7tp>#ow&?wsg+j$d#*DxG5!&UOD$P4;-_olV&}Xh_jom zRiBotvXm&)prjEW+HeiHl8Q%CUT2y zFs#JywHwIH3-*39upWJkCfkyB~j?U{B;mKmM4ZuT&z4# zqzzrOo!{jt=`yY`SGJ6Sy^txidZ!}yF=}5Z-EN`>*Xknp41_?Fr_3y4%rsVabe@z@ zuwaA6tdekaO$i1q#=dFrqr0h-U#cB5>$+<>gDzt2B^Nv8xN9?4U1^;&Oubo|c*c^) zKZZ;?<2Bx60@GBDs6KX&pZ;+bzRX5DvyRtf`Pjg{o}`toyUfuP<+r^iKy(+@c{C^Z zZNDp^@~ho1_j+(5;zv~IuPS~$*sCrV62qWHL)W~dfJLN-JlH!HWpdIxJ=oj8p54W5 zD>}m|%E?3I@TSU+76>=Bc>42*7U!ohJK1b|>R(!%cnjd@K*y67=O!`(wjwhiuxJ@w z#$bi|dKn9!-vy}xhV4xe20l5Yog^Zl{5jD<RC zUiEZwV{#F#ay_xx0WD5DPg^!7BFG+C5t#v&4QG(ZNNaH2)`0y5y+dORRPew6hCGGG~y0U`cWbPhO={Re>z zNaWlq2aJ09d~b2m1^^jwMb19a(^O;tg}j8&r!E)#5~DKvV`qjjy1_S74~|m3(|6 zOgM>-7=|%lB?$%tDg*vAGhn(K@h=oFnTzq3N9DnGmLq<;Dq{|NNeANk4miFWk_J=? zIe~uZFBzp21TKW0j$c-g_U63B&(NXM9hClK_N1=aG+^Ltk)Is`jIRua$ketpgke3p zi#)lb`&y8LzpB^D@Ov{ez`>Rz-7IBEuI3GHakbluQSEu|vUBD$<4mp|O@3LRG*+-eJ}%*9^3m1X(j=uLkmoLb-ZkaA*Aq`-OwA7YE1K5?K@ zR82t2{)9wQ^&0_sO>hOoonCiBican^MLNWuyL__oO>rG{;ajEao6jt~!YdiajC?tw zr_xqoHthCmzI5f&IIv=Q-dGj?ykQM&vXZKU7^83QEJ`?G$$Z#Ur|g`@E&7s98J_G!`UgS`oCZA<7Wr@K@U^7N6na%e^4}AB zd^xhY*pU)y`VkX_bT)IRVx?kDW|y*$hH}mIobxk{oGMo4_6)1h9=XstTO4? zmL0>g1m`J1%4>L;u2QzJOE389;a(ZDuVBOD3=+K7dP}#QzrKmi8zT04DPoES2>)Qx z{FTPB`Y~I>^Gt+AKowRYh=f%vf_hRoOUQ%6WmptVy+}0*u52_;wSd-mP+LG_oGBMQ zKer>$TuTqbrLl8N0VkkML%wcEQfEKODy>0l)o4an}TI{+EusABwvJCs~aCpNhNnZ?ZqC3h|-9nbSkU=l>f zQ|V{NQ`VL7wBuP{bf|T630UggnM8{LfR?^3S+!meBk=Dr@=y>WP zBzI0g$CCm?>;rT>v*n}Fynv2p7eaF919Uvcn!qdCkO@gYpyNrUW82k;nSR>wTtP_g z>?dGe^m|;13t%;5$MXws0MPMlc#0zu{;)<5hs006b|s3f!Ft6f0nnU$Kd6KXw(=fxlbb2d6{8xsHP3H}g%8Cp}%N@>Mk}faam~IL_PncO=vNhk8BozlQTU=5Qa|J1J z7iU-VMb^MklDoyf0RVPgIhTETfB_}BGd#8{s=cyy%khaQN^+O=pz>vKv|bpaGDeGR ztnOQi$%I?#1BI0Tfyw-Tg5>VMf5P{@^_l?zbOF1-x5&aJn_;^Tvg(~3fu2v zr^8XjzO{QmbN}@)BzmFF3Bk>XQ2%C#KYw@-YcG&FXnOo@%O4EzkzfQy;qgvMN z3m)t&-6@E|hp(h;4$2Mgy`fE8sJamln%`HMQjm>rpsm?@?N6u=#Lc3SBBfj>5Gqtf zl4;>3Nb}{{ZkcyQW?{$cFzfww#D$&>aG~d;C0ABGYhX2Yb{y7XS-CxG5Ha&SsL0;G za({c-4xLK1V@&Qm7F)I!;Yf|L-SY&Szd_Bore_5Tg3)Z1)5t1Z4DJ~@l z>$=KQur$KJ-x|>|@10kY;$xr>EgSA^Ffaeqz5?>NcrU{utZW{C&E`e;_zuqAr{mE{ zs1$YvnAuQ&b2QWLd~`hq`(Evfa|YHvf+H=VXOwYsHx%leCYMe2>fx*^E5`KXGfg5p z&A|^>KOn-Nm3575ra?o`-uImpiSVpz+m!?iPNb zk+AOB>P?E%q}=H=_BQsm}5hE#J@ zja$)x$sD=ZQn{7Vh;Mz#vCy$&>g*Xqzh!Ni!@n-J$n2CjEH(^@lYSYXC7}) z)s1(EIOmh6OF&FyQYYZa)8gPZf$_+ReXG7ly_71meEz0}%DlPNSYFp1=Seld4_uF5;X| zvI!gsaXxCqBqb*fgJ23bft`>^kGk8@H_(~J7?-IFZz4_BiBZyn4umE6BkBRV6F}0i z;dCj%m9F}X1d#__0^*#newWsgmRPJxh3XNA-3;L~2L$WT2_+*>Z*_U-wxt7YHR7D_ zg(ohJ5z)&C3Q6r9$f(G2>68 z-efq~r^@a#nHSj}SLg!x=>phS6?4?mp8_4!_!Q?x_`@tuE_P(pD`K+6QV7KPk4)w# z01y@RP*D%H&-s_2iHdrEU)K}mGe<=|RMg8|e3WYuwS41K%{=c`3775NPJ*oM|+d|k<(d%!W{jNn8e~zLp_l@`KcMT;XmRX9Fgz1x@zv_ zr?zJp+)H~7@k0OUv+JTg%v*^vDjS}QEG!xlNK>AhtrbK=!yG73;0n1O*Z6FwY{G9@ zv$IxdK9a0-YQw+^COEiZvm8G{Eo0q2tn}4eyYg#ah8?%l_)+qXkV!_9qSwHSZz5#E z*gO!!=Cp~?Ro*BNNA)Mb!tI5ch9VG?TBHE7uaTompAbG1rRf;C2w(Teg$< zaiMi=_Brkv<*J*aR+ouI=)AYiYFvcLSBk)MvYwrrqV6qfyd`2BD3PX~n#(6FF2e2{ z=8MI^UeYY7o)uc}b9dXox?;70JtSyZ<2oZnmGVVSIBC+d5@(ooi(KqRlz#LapG;8u zb_l0mbGf!~BYErVKel49@m~rC<8~74sJqAho_U;w6Y3b*fIim#jYD^yMO3(9RrBTw{0!?aztF;ls zkpz(E^jxDus+2=3%$6Y``sy|*dn4;KmW8wTVNPG6q@`CaKU5#DYGetFABY#1ORT(A zd1FdSAR}LW>tU>_Lm0tx__iHzx99Vibef`wHvoRu{^c8~!5MvV>sSs}5;T8^n1>yI z6=S7N2;)WIM6a_(pXQ4T<cQX2oFqKau10*r5$!2>7t)|A%tC zK^J^IT8;p#Ti8ONW+s2fd=JB!3t|)KME$sLo~Ej*(0rHUK`=l(fE*74A;+uA`$dlD z*d%maOO%sx&mNHDH3M?Ie!O?kQ#sz@i5ze8n)nSsj`!|-zxEF~URu@Bi5%}8QjT|$ z+e86x0wT8omwSL5&sX-B+=i6no#Zxz91qBCvPd}|klTL9@w)JS$nj2c8_lnBJX1V! zAh-P@$BR6b;{mx1IOId*ws?db&liy6A#+alx+{>wi7uXBDVo@yqq(MKyLe8jtAtnzsm7^ewX6`xeX!5LkCs;kmDh98%mC6 zZEgJzlq#SQ-CttTKkgf-+=j|+C`9-7-{_$b9V)k-tZe=t%5Ben&23XczvQ-z-*TJP zpL1Ie(5pDfZ4W*FoZHgA=QbL_UvgVSH*@Rg>iwPE7V0jI3MrKqXG@_r^GutBr8Kq= zyA_hEhE`j_Dtn91DkD>~>>m3l?5M{L>6LGnvhH2qaZ3e1R?7jbCp9Ug=rK0AIHgI~oTk@l{?G@9`l?pCaibZuh-+u8`fDYG<3B^ z%~bZek>OM?Z^(4FuHi%Akub$MreKfi3&z<|VM6m)G6zdu^Ki!4QB8Be_=PMD4BqUM z>7XU0bnWVM#*L3mU%o!nt=+#BODFt_akoVJ4USo|v8N8`l1*<+gOOQ4`NDk<3ZI14 z^^|YX;}2`CFPpHLhw<9gJh^Gvm)p;k_JTD?{;^GedPi<(S?jDR9&{koF8_Uq-6B<4 zX?H8nwp+E(irt_YqZNB;Ud}b?@M6=^ zMdPsRqo4bEG95B>ZCXPzG12!}Y^n8Cdnw2JV|hOvRv5W*+AsqnD=e4U3=OWAPfYUj zSbhRv1N0gftiEQ8zJ+uv+9B) zbF2;gWp4JSZ`p)KbxrY@IaPIFs|;?eST z3Et19Y}<5-qbr8rOh$S~R+EhwRoN~yA&q!@qkL`qWfR|M_Npo2>z*>URA=I>zK8%T zD>3zCQ=^eBitryRo4^c9{0X9qUH(Os@DdOuMAq?|d>17&Ge3c_2YmM=ke`gKIH3U} zD-(l1MplfVqE@j;Pl7xACLYY?in#r@?1G(yEQFYHVEqC;Mg5L&kJn0G z4bI9EXhUt!`Kg&bIO8o=dm}hz!VWmEb0#5x$Nji#7IQ_V;lS#EkVFBzY4?!(g_0H+ywr&nS6 zAtVVtRJUw#OnuV$&iX(cVk~WhAfBg^1Ye3A&?if%S*n9fum_Ek3r#g3Nw94R2RouE zY05ecUh$HocS4-kC3(HK^j`?~Uo7@t9`Ik?^Is- z=oLfrOqiFz!U2giHa9;PbVJQzZEPusr1NTD#Eb?7J-aVNc-ky$VSl;6b zmET`ZI~~R}7Il6t*E-Y>G%U^b;CflVImlyR2RlXSei?cm3~~zVT^<%_XgHy|oJr`r zCE3($#${NeiAha$bGI=u}Gg+ z(tCPoc&LL1l7F{6ORtEhYK&mD@bLq^5Aob$z;KOeQ2T2O%3-C+(2WnecKXQ7R$auR zO1)yudDya2XmQnQRJVQcKnjbUPs^OzkUC(vo-oU}B%w#jq$P0*?<`*hCELqayTjwX z9i5?Y&-4uk%#qRl(CdKmE}=HpcASB5zd0x4i%pc!WMoWjFa^z4K=05DRioKWxk?t~fkia~yv-fh)6Dv0JgOU2t{?gV~4u-G7ALZg&5I z-Mj$o#^qyJ_Z_8pI|rFQ|uOm#|dD!AS8AxLSQ$ac*UQWaY*cDgRDy; zup4k0cY@u}f5C25Ke3wwvMvew6}xHRkpq`;zhJkBQ|ty@#sSz3aTq7dMap#62f%J> zxJ*@eAOAge0}kVU!EP1+cI#5gKwQS1VmF&A#lK>=#B6)uGVTPsCDY1B1K2I$Od@a@ z_d9k2F5~`+-MoLtZayd2Z3DO92X;f+4^Y_cpNZX2XK{Z{N&mdhsNDAVVK-E6`=u_4 z{s$4`h49N~uoJJetv65w%xB9a8_z}Dk_Qo0k?vchZ`NGeeMj;7BRD_&+6C>zjTXML z;TtkGj%X1tu_{>3;>F=#z$KLQ3EJv`c{_0t3a(*gGZ2E_#)vwoW_vReGKmr8KJZx4 zZ+qNVFWOB=@Pr*(_8rU4aJTsJ+ZrQOZbRiZ@&9LYTQyJUi(kT;gjA$A;Lk(WB_C$I zW;7lYM)o4%+K*@U#lV+=V&r2mbzs%-7?9hl@Y$%JFBRtvX#!gxm}rnHrKr265@qjK5}>AxP6>vRnRPd)54~k71*fx<~AFo+rK2SbhwG_$iyWq5Sb^`k>FpEO7=Cn-@^RA<-sp4L@<49LK zCuLQ0WEbRNH#`a6Dy+N81M!?@R6kFTUQh3y_` z3C4ijR<=Av7RT5Irr-={eK5yaq|kmg*%+rgdY*T@xMQcnG!*t=o?j-Y6N?8DO?O$F zewd=w&B836&Q9l+%YLVOY<>hc{=zz~K$VTkM9OiR&I75T-cb9m$&Vg>*%aY#ek2kW z{32siKH%b~_XZmuIgOY0r}(>FR!y^=GO|=Y?ZV=B@-hY6m!6mk^rnxQ=P9=CYoAbOHr|Wpn=<_l2z3*sI011dguKI=Y9}%5zk2MPG)EOgrvjZm@AKE`4`qv zB`G%myA`usv|H1Tdps*Z$RCJCk5p8 z1}326U!nqefQZk8D< zCKOc^)!cBiESfvTZb+B8OvR#H=Rtqj7^6+L6aJMsFng*aE*-cY94IdBA1($GLaR9t zO*})=)=GZ`4TDH_C+IF(HBRkU5baw+SK=py^y=B@gmrMVH|$v72vc9wpVQHDnUliU zr3GWx@S!UNke_pp$`ZcdKMua&TZhBLRWEtxk$r$s;?c>-We0NPG6gwu2?Ith9qmsj zTm%FY@YO{C6i(EEO3eWnxh(i)G1K08*M=n*!i2>L63tH&O$Ylp|yV;x|I2IaHea8%mUcSI(th4*zxM1eNA~ z-8o4UiuYiNcD)HdT>Aq%hlLtVxa$%X?N{ETqiKPsO)+#)qIJN_L>2Aq>QWpAXOM6h zh?N_AUkr^!%^O#8O6zQ!DyCvjUL46g{QcniCf^;d_nNY{(zl0j6x2o1UP+K9^Eom- zd*pOib=~#&yy}xeMpT;nUzFyCG|8_1zFXP(C^#POqNgnd?BDMc29vM2%`l%T#f=b3 zaloS2^f1#TtaW6r=T;H+6zkowi?P!@yQKpUS4|UI1ykpk3XAZwthA#PH|2TD7L->l z8ZpO!G*>v=_rZ+Oq<$-Tw{nRjz;4ZF?C4q8r=#t)`;XGDU0orof|0B{f!ma@Ig3Bt ziOIUNcsQ{vP+Ws2(&^0Mi-jKbqz0S-@t{nf1P2e4UwvliN_dcfud!EiO`OeFV|g;r znf&r)e`61+^l9p(;zsVd1;0zg9=jJK%7ywjd>@y;JP$3dkgzbc4d#34QJ2stLKEO~ zePjk~8Bt3!w&~)MUd7Bi(;_N;1Mb(?_L4`CLRei35^<=lM#bzuXlZ>hVne8g*%uL0tEFXWX1=>hXv+ zn+CWCFX(GBM~2R^O=Mq)`}W6r%vmNM%a-Mj1sTRrnkV#k`r<>)vz6^$scSzUNEGM! zFiN70b#?%Ti*AwYH@f(Zba<#S*&;nhdBv2QvZ{0SYXRrR3R;*=+kB{LQr^Q=xuUd@ zy_IcXTQti#{wZmXN@1aP`-*-MbmW^BZ+S1JjvhW$%}mgBV9~_LwybRYh`_3d&|uPB z=4djaYddpN_o|;ERdW)Lc@2EFNCALzVKZ$-O(7MVc7&8u>>m61nwf@?MM6R}MJrUk zzPeFKfZSD2 zv$rJ5`$)zu5@g&2(M=OXlb;p1KAPWbP$M{X*~Q~l%-z1Zh8xcspSy=qp;!x~IrvY} z!FQM4xAVdSRXD_3o@7s|Tmn6(K$4vM;t%MsXwcN`Xdk(qSsVouqoISC4x27J!c|?= zY_N!6xMFzB!(fg9M_hHZX0qsS9z$8`I9z#7I}DF(13fX+q8-yE&f(nteD>0r&yC=p zwsKkrV99dx#8#ezw3Uk@ZRMf}Tlx0Mya~YT(40?r9eObs6R~9Z{3ox2xR9JKS>}Zy zZRJF^)YV8^`31zh$qI7Gk_klI&xj>-x@3t3@VfY)wsJ0j*P+?vh9Txn#DFEsE~lMF zOd{lxCGQEZL$jbVcJzUq+RE1*=@#56L0B;EAM+-v?m3oD7(q^#ZXs>u+3s|=5c4LV zzT3)`5WMaJV&3EnV#)IPYbI}{J)1Q$2U<16yomy^WNC!3mE(eltr50z`RECRt-KQ8 zb)txQleQ-Cur{QF31KTgBMGf+#Ed+hHyH+&ELH6~iaf!4T!9N<8RU{BjLaWcvP^!8 z!xH}RgD2NDB(KY9g8nJZfg%FWlmwm|3?$eO{62Dtnm74-=S@%v?_cDpf8MuH2@jR< zPzmqvKa+F#eaRA)@cs)+mM_7~k~OT#5v_eIxtAls5d@kX7*bafLd36Mz4}4@VmQea ze9=HRi1D?Doz%gXE!GG1mbJNYWUJ6{_QY!L545+vCwl!PVzv)tf~9i?>wk5^BUJn? z;n99n(yYFX^bvqE5rT0*icox#@RS4=cH&!au$cl&mNNpoDP`}Q6l>2958LdP<+Za~ zzf&CDWZo^E`NC!eQ&ij#;3zvkXmGVjckCchPUvffq4k>2i{r(xPkeVWl37Ate3K@t z!sb~wK^J;~y+-D<9^z?xepz)X)}w|*9K(e}NexGrsMK{T+XWmwiJ2r(cV=fDgC1ZL zVZ|k6_8ZPJEYn+JiK zK@T(qm=wJDDg*tGTc;TXOB!XhOv0-5+E~bRTE88e!2KG_wJ!Q7wBH~#A#E3;b*ixt@afi3Q?|9u?;%G)hWxvkY zZ-!qs0tO-6tj52dn|OC2o4$O$)x%)ZQ%Y#~hQvX6$e2m!CA;B!9;I2So1$@qM7c!1 zmfb}J#>O{e#vkDx_Piha8W9%r<%Qh-=adsgIUSh*Oj*P-WnQU8P3~~8Id;ca*S6n5 zVyE##O^joSEbZg8=QXLdR@0D_jlh8N8Ah4?7CHDv=*=|cE>c+q+sV-kyzfhv@UN+- zybefs-@It_R587*>&`My+>*RwjP))km_C^ZgU~TsBrsJBdwmsz=ZJ>&*6t-(G`kui zi~*X%Ou!0R@g&!SS7CBE&YZ3N=CUZqff+eCvHzw^Sn`e&L|U|;9>+y(-jL93#uN*i zKF10FAqVlJ=yCdJBl{C%*M&rOACSmy5I}bEKam{}+7QT2)q&Cpf$Y+LL3T{3r^wF5 zh7F1A3SnR{64^BX$c`3??7Ez2b8N+kPTl0R2xLe21K9;4kX^l{4d9h~Y=l5|#KnNs z0Ez4XfdM+=aPAo{!c9(oitMm-oHRgAqVYeGouZD-IVPe8f;})l64|Me6MF&3PV_sn zt3@I^9st=*Adp?gwp$pv+dB#SIb32N0NG6-klhi0?5Z4SC%+>*QvlgP5Xde9Kz2mF zROog%oW4Z>vRilfzzY>xKSg$E2se2vudSnwqs(JZnp;R@S7qA|AUoCPnnccnGhUL@ zP8Wg0ISua|-anto{WamCkR1xyp$_N%94S$O4i)H7fesbuP+q$KcMj+NQo#HxvNO!L z6^0|WOl~7KD2ss&N=9BhfjvY4Gt#8?vmN`jBNe=`-G$ z@a*wK&zgPp@c25&s;Xy&&3Rf;)kUmN5mzPKl#&XlkQG&t6dJj36peZ1?@CdGLflv% zsA326RhOn`=8Bb1faAzZ$?Z9O{XR^+%ptF43(c{5m_B{Bcdt5_dCl4*dhBS&s!?dw z*f+q}72~XR(;VxKG69yLoiVE_DG?L@km#4x+7YcW={fP4<>Ty73gMTPhVU>=JuRL! zpB8Y=jo_&AIWoijwy!a!Q7cDU9JtKw=Q6jv)|TglIITNfRyhNyv31~QBI{h|@)8P; zbnvg2T8F$gvjXG4;#w-{xr}4(!=7>VsxU>%V2H_8F6F6vE`xnmG=yoNT3<;8ll9%f z`51@GrF)_Epf{V%ESuqY>9)_s#>R%+OftVjl}@VxFL#TSU}de>X$nJyY&`GR3U$%= z6)XD*xC(Dm8%P8|KhKL>l!mnHe*|vm@-pxkQiJ0cj4=)?;l0QXW z)``#To+}#*$o%TNTQRLV51j~u?*@>Gd~w+=Q!4rCBe)9q2xL!pPpmr>E4OkHgOwXSeo?h0$IqZHvt=o6-JVu_@$-f}3Mx54tzpT4b zv6g^#jJ&K5 z@F}dzl0(9}E-1AV64rgT1z;V(#vWJUT>%mIFkRatK%_ z0>HXJr_Dypb4Xanc>?RQ&8ayYeb$}6AJ=6&Qm49;fv`A`tgd_DGnOo^dj_u)#v`Xo z=tx*+1Y6o7RQ1gygZ5u2aD zx_AVvD+OR38UofeHGyH;kd_4>0M_AvpupTq=qap&0kDqNuEo+5e~-&|0W5`tb-ggZ z6IjO-{_wpg7XxzBGQ$&kvU~E^K=%{b{cBi<2E1)G{yC!%kj}UgoTnTEPfkW5#4(hz z5u*?|h*1c=e>)0cP1E>a9fequ2Sy|JG3m`oE4s$Tj+h|8E$DkiBv)^|Ji0 zb+qG0T~{x>B|d|l@ShzQ$zQvmae7>2eR5nx^{{a9MGZS9jrox`?w#N3Xg+_fqcM`c=M!am@(BG$9gXaNVjbOU$k4Y|9TXH@hY=X_0P9$ z;1e^|2nnfw^R}%O`2MyfWAfrZecN8g)1dikV=C&5tfK*MTT=+z6O!fMsp#*n~e!IkoS?TnlvUAQ=HGvaHuAV~-YhOOJ#Z zELY~nzlrS%0bA@g;Pi>(RjEu8>$DW&5!G3o@EVdzBRBM;33M2KEq?#HJK=*daIm~K zjXR|$35)u9&Z2s@LL-lqsEqBx-G(*lPH+5k)8xAY_2`8geuGgO?~~=_1>uH{96>LS z;RAItG{$dv%V(r+gcfnBh;O#{c& zb8=Zj0FxqBVl^Zxr));pw75=7BrhgGNaxygM8m*lp7|k_&MnNLHWMx5gb%h0b5HL# z-NrEtiWt!m#}()iiZu(rM6LZ*RiL+yH8_&tjpp4r@=r0VCh7N-wV#g<_Pdg9M?VVD z7A_eoiGP-xeltV&-tn(tHZa|#99?4D{U7PBrdAp|2?v#8CB*)Y~<5_L8WxYz@y&aL+l;sjL(njE~H6r^)&1M$xN;0W~soLi3e zR5^J2C+}P*U_`>1+6gftf!zegB`5YiedoTf!u(+5LNNfgMvh1n!CdqMfe{H?YINr- z8@OUm5T&#Y;GLU|#{wcAV#E?10NW!+BsPF|?!@Uk_c0z{F)$)wR|rGAbH$s$;Y7{{ zjhGk6i9;Zmf=yrtU_=7Vf;z|1+sK*b5iV0U-Uo=&Ck5XE^dqI&CMz_-? zCs(=zU`4{6&I$3(t=*+HM~t^CQgHwy5{Ob7(2}$6dTyZOt;z@8l5?O&&)In!zQh^Z(#5=dE2|TV1>Cy4c2?P;%LTef^V^80?Zw+rCM3qVH=b6C!wViHkGgM>fK@Z@4ezHf9I;D-6(lB zlMxqON98UxGIepcxGAKr(pCyQVPilb=?NUsON}l*wN*FR(bUFqeaI2__t8rs&J-k zrz|K9Hv2%ODE0bRs-uZ5p5mIhyAU@H--#3+Lnq42YVLxSIn6LG&KN~#E^z)3T(BL1cW9&g6gtV{2C|Vc1 zOzmK{Nj$e_+CzFc9oK}k#KH!J-W(OGDkzag|DMhWfd6XD8zDwM8OyVuv%u$I`a^hJ;HU?`Q; zGE2BYU(K4bX^yR^)PZ_U3MSaQFlJsEvvPeA``8~2_xiEe4L*zu&)7K} zj-|U7r!mmzdDIR!F0ESbmzq{Ob#2E^ixAep&x?$>c|=duid*MAwO_XOpq&1y#b2n* zrf(thK5WJpyW_ltN#x_<`F@o=-7)!%K>_k9k27s?c{ z1%CMd*n97PsvrOVpUAN}8pw`N31yZ;qEHe|$|ftDth1bB?~w{wNkz-d%uF1zlf5_D z^AL{D;~bQp&)0arU!Tk8{rP?`pYy~0f4E()m+Sp@yM4;=`{g40sH9(S7bXoqJJ#8( zNrNkxO}n1qb8aa^@tm*v#vt3)YL$BNLS(~6!tkETYd)az`d+;h?#52%_2s>t*9W&d zuifR(GhWg7-FZESIM1SgNK9T#G94LifZzsGQ)W?xjesf06!WDJ8X8Cr^gdogGRa%i zykKgwad3<%>a79UbTfDg(09V9D>FG`wO^`v#=oR{(uS)SDemCG3iVFnaJ@rxHVXvCo6%0Ds4(4a|~4 zDLxK%LhXwQqvjU$bg%M|H}LxPa_=Gt7ZhYXu?oJ;!t~aT9L~b@3ea~*5DYi)z1Ia5 zV9z;)8-Tv^+?^{N^dZ|ftKFv*gxW{Rlnm%Q&wW_H)GRF2A}BO>q950FYL9HH(01^f zxuCbDWZ8he(-;giep4(4H?z?Ar=u&da7cQBHsUkk4}uf|L3Fc#m9T1FS!Q8*RJ_mQmV$_?dV%? zn6F`N1B=)0nSn|bw4FNiK%(OMz)@`B__0)n>hhl10+)h;W1()%s`^8zn%cFeOksUB zeX9XxB^yp@?ptjABn&K9i(gUN$%6X#xnN7_oJE}&g8V5}wF(Z-+(bHB4A3Ytf96~f z_Li9%pcPYBV?Q?UeSzI*@`Z8*lcaqJ6C`|pjAik1-8_P-dypytR7uZiABqs_V`p=t zm!W3}K4vuJK$>4F#CgWmUC4yCB=74@Q<10V;qk|mUsm@+GtqAfM+7zRR+;dN;hr)~ znfRgBw2fxco;5(sjwiX*IdPtekrFDBE@`WEu6GQby=rzUIT~V(tcocbF(aiZs6e$Y zK4F;dKE-R;AaX7<1nX_AmLOGqDCglz(B?Sffpd*Mm0~YG@%=zZ{QQ*U^YD!-Wb%;u zy_P4hKc;DYuyiiE_a!^TKHU>yCD>Qcm|wY^s{j1~V)JKN1*hZN@H%4?&6v&sx12!D zx+y*57tQfGj_}_-JSdnnHd}pY?IlFF-pq?BSll0b&_J(Yg$=jr!3ACb$xAm zy7+M-ZW^H<)4$&(x9kaf!%VC#_rs#G&t2BjwlQo)&v7nKLA|!fh-X7w*u3{RGMw2X znP*)$CXSsoPIN$=+!#63CLO6pZ~2UjZJ3ui|IJX(yeBqxU`u9-l9zAk#bx%s*g+Zy$!kG_L=v3v}Y>F6(z!TpEkxcL&L_kFul9Daim4U*U5Qn``n;pXNA zWW#-5GnhMOt&8aFx}Z-O!ql@o9V7&z?;l} zGTlZGhFzxnL5je1(_tKjXgt&Xh<6vp2u$}VB~zmSx#TX>9RirH{BNc!3^3j2@b^-9 zrV9a>t{r*~Lq<(tx~I39uE9eNFe;!Cy~A|FP;7oahbYNKc9Cwq28qu*X7s+(Xs!WI zJk!5@`1Ic_sulrO+^ z^8lvX?+-BD$|`V+nP^p2Ai#9V$Dw%`vd6njw*_FjB#0_aKblqXfN}6;0@H2E4c=zD z{84I2e&W0Yru)tu_G`A~pXv)lrb}eH|Mvzhh)kErbd7_8{CT;m|MMMrVzB)`A8ZRN zB5aTE>wa>@h<>+9=gNz#<#8(ZYUe_-$Y|y2Ao-0~#!|EXPVZ?4;1(ve9bsDxJMQZxGd?KjtGvJe|{Y)_|U*txG{XK(vSb6=cxZ;h1PSG0kF|$@(%dv?_3L@uy=l}I~<=`U$ z$cSK;YYoFpX2b^_0imqCGE>e4TvXzei3D$St^1X%M4m8yt z#HA%1D>Rcj5Zw@dS*h}})*m}<;QUODa({k*5D&L>wTY;{E8R0;{fz^x@qT?js3IFyT%j&$NQ zjqmFiLvy;-tJd37+!#S$3e1-XHg$Z&Rycmr{Y<0csfR|IJ?)yHweOeXmg8>f?CcR< zc-^)!MdR!AUAcQXK6exNSv=QdTRiJo^JGs`&MeTBgCDf`jNcQ6e)b)pxskDU@#7h)8UV_c?u-!vP!_ZeWdThg z5&0J=d!)*J2g)Y7aTB0yN*kDr0A+!McT65XMi?`P;%P*xCtvLpyRls)9_FYWcz4ABl^LI6;f#0!A3GtAT? z{Xm%Y*@m(v0F>1T0HACj0A)o3*?Hg;Hv``QP?pg>MiUBQ-2JKK4g#QTktWQ+&t2Wo zm($P_4`usdRohTj6x~7YuR=zsLG|=c(hM1O{Wp7rL@3*sq?&;H^n>W#CK7#wx82v8 ztg*P>+SmIf`%wS$KV?K8f#@Uri!JT{dGB_|N7%`({hi88jw;(Vkmod+##m=A23YE> z0eqH_U4bp_`TQX|Yq=4wdL)mssU0{rjp}P;ep;@+IBFfK6Yl!QVDmxTn=Q*u7Kx?V_nPWxN`53&< zZ&>q7_merF<^x7xPnL?~A;La}SNj%IB8#NsJz){9L+oiTm_dsSU;V2?NAy=OU6MS5 zju0{sqCQ)G0_ouGAA6svA+PFIWoATl_wb?$>*u?#GoFOk4vUs+Rj_Vk;yjXSO~jI1 zYgHa(MUFr&Niav%nZ!HBhq8~!isXOQURg}YzRD@Xrd4^L;$h+hB%X6Us!(1oGKp(b zNA@JN$%8&LkvV8wPXAn05QWq0hU|&Wf{u#umVv+QMJEquEnvPI)s z_Iv9OhH@p)?}Z^EsmXjAigggkzh4!tcVk>bMQf(iF>I`%IZh0ir zbgcp-?e7`uREsCL*IuNGNwelEXegM#F)wyz7)#4Z4r>*_4)Lgr@$E97dVIQ3X#@HANf$Zw~ zdA(?E*QNcZV{CGNb7>tM{_fK5RcZe^#)hma+#X|-1IE|@l@_<-(%vteNJOn~kFgmZ zS7HLj*zO-_)%-Qa_NElRJ;ru_cZ?11(W17Q>j(xv#`dR2i(YHn@o4d5YCLqcLM30u3TaW$!p$mb?T>r`#IEa(oxU6EAx=?|W)I1KZ5Crsr&|GE*Z^UmkO^XJQmoIHWe~STmU+Y!6Jr z)}^{si}|j0=6)KjQ%B6!^i9_17K!|@b>BJ}ze(L*OkO_=qlFu+@<*X(tnJ`jwFXo` z(4xMh?tMzAZ;=~_yZv*p<3dIordo1r!t8G5Gf^B1a z*?k2nj_TQanN0O9l0=uE=0C$E3jfTjEnR)_umkEz;eFnl`Cpfc&P0ff-=|W%TX{q2 z(bErCM?^|oYiOn%aGrJVjTjite!YL^OpIsuB?&IqdKKrz$0O`!(q{R!eIpsc2zV+7 z&ACFaO0T&6L1O}wcWY5Nv4msOWAj4L()9vy_tWnu)+IY@Lhm$39j6PsN+7!t%XRbNv_VW^E?5`@?b4+-|g601fUo+HDuweZqQ< z-^LLd?N-CXWK|T<>1x}Jb|d->-u*7yjdrT1A8Ek*cw<(JPgpe;hj4TG07h&g!H8`F z;4Ak|p&bBU>9*l(Ka!o){V(v9TM(EVCK$0~P<{e@O>F~H5#TG(<9+No0lsRWxlh9t z!gk@S1|GhGe!*8p4*Luvb= zj!0lqqUhemnDVi3I`CQksq z8sOpU5&&Q2fy(k7_-YBj*K|C54F}+BSRgwZPLUOu2EbQ4_rzQ%#BLY9qVVvwJQwCV z?ylbK%UMQ%uk!HvZTK37?zr!-VoZRqL;i1aL#En8W>!PySpMl46%oD?;p;^5%cl=c zL=)kwE)l-cF_Pg9nJetGmo7fEj~HUB{y$ad^?x0{;zMly3%=3aLa$W5pmze_9|T+m zst}xW0r(0uG&?>Q9w|83v+%4fzxkNDb4g9_iVaXTaCgRSjHYKPAQGot(fapbt)!>XzUImNr>7aa7!?kbNO2_oH1J*%9Yd@qRCy&j-qJ8P_!ha zR;kq?Ha~Wl--We)INCw+EqwGWHosnL#qn8F`4DFe7BhC@W8$lm&)lT{ASWw^X8IoUYHMML6EZ?~z*w=p zt7p_XFA`{$FlO!^x|W^ULU(`r?aTY+1+}T$X>9Ey{4T{EaW-&ch0f;s`BdFtPD?VD zF7h_#Tlf%L!`4mVGFNIXJ8#L%KFBiW`~@2`5X_c02y*|pfs<6N*IIfMyXfOoG=Z2k zn(gY_batzq-gJnDbr*3oE5fsE`Id&nBUc4SuP7!&4#Om=^v78l;dcE zj4m1ae&Cqp~f*}`v?~7@f{-T#1ZZups{Pg zGNKMp`p{953;ZIoDDR|5)V>T9m!aopJd$nn<}t)uuo=5Z7Effw@fK_sfynBp_+Mjz z4oD%n(SCphs|r}KVeSBtT>~*$Zdy#8Vm;KS_k)IY*(7uWX(UvK;oW>b-2C&Nz)OBIZ( z*#dhc@l!~E$oAN{RyzXZ6q`TQa@>vA;S#nIThbGU53~LIXtW^Y!gKBnw9T6eFH5NJ zhousg6DupeNh;+1m<2)=rsK7pm;gq}ed>zVtALcR6J7Sxq)!P*SV-VR9tLpqb`+*E|O{v8H>@F%s4@!ReYa z20PJB6-BfEO!nJjLFb~R=pD~AtkuKtVHPniB?3hxoqC?J`q}EA4N68p_6$mT0fUmf z0?Jo*1|=_hQ;&}93`+X#3`!0&{B=-r*0=NB_Mjv$FevG@&oE}spyb}}E?`hHgKA;> z&ntuQ=Os_*?vlrMckK*H0?q+2C`st<0`yj3Q1TDwfG{YzopAAkl0d@U9+U+BynYQz zrc?bIl-%y_!YAD4zyG|%frPtfP%>(FP!ezsfI-Ra?yefZIRFMFx1EE3Gbjlp+&zPm zzq`A32PJ{-uD=gTCfecuytW4=@y-D-C>c&&3?$q?2PJ`o`}aXf|33#M0p|ceC`st< z+8LB2B;5avK}n)>Ky(g>&H>RmAmUmgt|fGL?Ygqt3Dz*1~mC13pyGxVl;-%D! z0W`Xk0IvO3A?!Aa@>+NX6d0(bLB~+>GalHY?}yS3WV3}2KGG~&txI$3kkQ-x=~6VF zKkE((BFEKZpL;WjqBkuK<^^5L)~wS#c{cQ^hQf*&Geo>u;qf3_mZHOzUcToG^@WU9 zc{Cr2z%_;Xs3KTOHxc$wMaUqtwpPVSq;236KLh%fs4s_c^S+)y?giylanFc8YG5;} zjce!8JhfIV*&5x^Gq|V0RHHQhte;JV z9b!#_MkO%q^{-$Kii2T8?6X>5?g^(qtAUJ*aho%Lk7Q7T;T0o%&wntr{xwXo3(d4YW?5I z^t{tst-;dG1T=Jyp7wQ11H|Dtv97WDl_$R@)4xmAyU;%jmf{%T5pexZSMT_`Id)KW zYpumrxD9j|feQ0}-t-u0AEB;0pgy+RakXW;zd2y*M1kFozE75lFfZigHRp`~lC=h;7+OmBewt)=VPSE+wo(uLb;=_-}` zv!x4uzFqH-*z;(*94@LMPriecUF7#=jYL^qBUd#v5PLhi7RP{&F8A$@u5Lm{S2n>& z00i0?1NUDYT|7G-T`2YosJ|Eq;^x3c!*)j(>>R;J_}m8OAQ%bX@Eu+FiM^OG4{m#e zLZj!-J6NL*U?c#>to8GKf^*VOG&}(#p-BpM4&Tw`1sDmOuI>;gj|kyY>|f|6hbFkpN~7ksagpn&h_LgL@SvVD@; zz0*PN3m~RQd`FizU?foDJGxNZiN4$KVD9*iu0X&@c!lri3SuuqP%H+O<2$-g*;p7P z-G8^ED;O{m+OY5-LA3e-e@;?wLPr;3aN9^|^yqjQppxW4=;#V8!iJKthW+b~TB4Ca zG!lqL0ukbF9x%9-L!4nCS0c_Z025>X8sZWnuHm)45m)PC>cz)3eB<|k8HOjq&JAK9 zzNqbp+a}|?=n71Xy_#`VP44ltb5S1AO+#W~y(^C*OGr#--N~*REdGov2I<~G(y;fF zg_@Poj;48*lMPT#x_s`vnx1*W%5d3;Imm|*ig;jT0rs_ew=8~ zrK?5<^xKPs>gU;YYEyqIyv!4uu?x1IGF&3>_^imk;0Jm?jGL*!FpxS#L|%>ORo1G! z>Fn?%3qE+tajksBBUAC^h6%qqYmLc@1MX=Ad{iJ=OXH5IXiN+cabu$EUGAKTDmymn zqhnujjzT2#Lahm3?cD|?;iW|XLUT4_mPT~3utuNGb7|(hrqlIeNeALaK_~AuhXC(j zvq}@Bcb}C;z0OFvUG#t__egbGvBUcj$OQAHBgMeul&2ZOLNDoAv-2It81G;+BiPld6fkV{9yJg0HLN1{>&-ktyb7)^! zT|Vcb8S+~1ebM(?n3UqaviY8U+OVV5_AW+k6^#ubmHkDdlJq=O@1*QOA?%)x&J@m`m1tw}Q>wTG=r&(y#7~p~`CA@;7 zOp*qQ_@*urJi(pYCb;1Qg3C=HxZHSxyZFmd=-+V^wlHAQzYttT&jY)TLWT>0;LgD~ z5(!OROL#|NlHe%tQ!;%QAV0V3DAWN27xkOqo&gAMKRn$9-_#`!I11_LB@7uo!BLRd zCb)A>?AK8NjJpK45ye&I!%9gmW={5g%_D3sy}ZXrN$x$)}@U#q|! zW}>x}`1J)!L0BP%ENa(L=l~oAc|>ibAH%A6$T(Py;3%|UcN~QiQEJJ4;sOMMo0bCG zXb=6T9bIdLdRn5RKy(y{jsnq9@FK=rN(XXtYGS-4Ea?6h;;o6s-gsLH8D9plEnc|o z2foI}!gN!v&=<4<1ou^-?t-0W;aqT~Gwgq5!k@wmHSB7cfrRESMtPjbav8?_4$?(R8$v*W9h zQs%428;tyYf?rvD&O8}=H+Z@nSQe{Xz=dVQTi6cJ)E+pT72QI6{~WfxUc}Tfqnllj zwLz;$Vst*XiOg*O&|QpqvBQh3AkOn!YXv5QnTi40=42w!Ixoq^Xm5!5wdA#LPW2Cy zvn$NxZXYT2MP{a)pSHM^`>ZLgQaojrec}dLRa0pF?EA$+%Zu21EgAGq=@zn9dRzCt zj+Hs3cEC6IJ>YwtOngDLnpwM=oYQ%KG^s)b|h zwk2EHvuhHWC9<~Aw65N1{!rVdBZ(cY{Jm3>4@*x4+oBoRTR@S{dHzLq#(=IsmzBm*t!?)n5^G1xU)uyO?gw31vu) zX0dApTTg$eZ(cV{ZtaC8Zu~$3^&TU4958a5VsO-|PynH147&TVFmq^Me z%9pCRzA$((-OAxLN+)IbLh?xDejh`rW(BRespo?7zMp$X7qZ&m8gqXD-Aw@KHtqo3 zQ3B8{ApqT30O*qZ9$h%O4RisMcHpl-SB`RbbYTc~kpOgS+rR<@pxX@qT@+z-LDZ8Q zj8w4O9bF&*-DAIi?i?QIcD2DS0zkJB4|D}tP>^&2(B;ODE&%;rW^G`m6v{E-U7~xW z%EQgvL!RXK=z@I}?5H3k-zr$00Cb&Mm=XY>`}_}}dldk>@`TZa+rA%MeF~D@H$Y5@ z0MM1kk1j9)K$jcMePL&G!5;v+VffL7Gyv$@1+yC>DI$XF0HCXZE{O!f{O;(20e*C0 zAQJJk3ay^y&zVR7y4=XAZJ=xC*>N#YMUgPNP#%bh4Ew#H%NovfHvHh<))$CCmk4x; zK$i$~iHVn(c&BVX!e#%fiT4!qBhZuAe53Nf-WZ{qmT$#d$6qj4r@1cG6{FoV{m6`7 zMI{XibknXBxX_PLiMWlybQcdx6tpU)!LT*@%b&4@n{;!qh9rGbHWsR_B9U8%wED?F z(q)4d>7Hve19L#)B`an_Cc7BYX61g48c+A#RP6`fWJzI5je$?p7_BR{e_7w3;io2K z%wiS=IcYi%*JXb_qcr^K>9cu1ORFJ<$h@k_V`m;U(+o0-M1M)Sa=P1V%J7&-$5)j~ zhwzxICbUxd>Nk+ukpk~c*dkdg&0e3zK`W>FMSx+4{;wG!m>Of6^U>AHNQY;>v12FG z*6JxkW@EMCoLq|JRcDPB(fPFFvYPn~cYT(gZo$ozVfl@QGf!U7)sA0L?W|2ua!hG~ zJdh)6Zyr9qq&O&Q{@@nfsq$;)#an~N=QeM4<18Tpt!XSnW$*x}#f~}p}I!AIT-11D2HlYo%qmwyq zb>+O8Bml+r-CQfYS-)T(xc)^n()n9W@M7d7WQ>JjtvQZ!Ic72T1cT6##t#wMvro9?on76(i3<0s|B0xu<0+s3PXV`QPRtH|K5tu8c+ExCw?|a)L1Hz` zk;)pPOlqZfLPoAyEy@v%EfPqJ$Gj>`)hN8(D-h1 zLOJvdA=VbOfe#U4?N=by8W21MMi1_JxPrzXp2C4&v9=N4oKT$$Jp;trbWb4G9$rO4 z!ccfmfn>*1xYq_INugxlO|_IMXfqYGeE;v}gj)R+D5D@F(<)e&5Nq$VFa-m#76seu zDVzghEjPhaknoAo@=ozZ{s1wB0W&x9vyrED!c?wAt@l+ zCG_8pE)ZiaG1d}eEiu*-V=Xb({=Q27_mvs^5K>8U0o`RhNcrn(SQwniHlkF(65=8t^UU7Hd2iN6~Ebkp%*tLTj2Q z7rP;eI?L6nCw>m6K?BrjSfIAn4k{Al<E`$Tt&#cm>j5D~KvSC})q_JUPTb13a7Y zs|V_`>$CU@l!H4&^RB{;7>Bfql;qC1+rGblFu}L#Xt8J*&(UGq3mxT`Z5*CHxjJ}K z)3rwV=|Vul*a)R3E5$OFLMG7?YQ81)~4Xf%;z*}*B8 zJXGcwpJ6#B@&?+{YQ6k|iuQpR4B9vpo$Y<8$Ku9T$M**cPC@pk;x)^k6~GR!q#uv7 zG>L5QD6kPtQ=Oiaj}WM*_b2<9yE&mP_Nk*MH7BX!l!b$DXIB!1REE1y7Zoe{hm1z& zyq3-Bxr?xp?3u-n?$$QiSna+o)1~4MYO@d5PsI0}?UNses@tTkcP#4VlpX7x^w5kQ z{GQ`lDN%15a$uwXCa@odGv-mFg5b*()w=NQ%1)#0$8u#y{x zSsy;2e)g+oe4m8!#;7tgw9#K~2-SR~huI9@oFE<#G$+W17JSRDUt*U*wCP7Wx6jip z2e%b=izv%fz1l9b<@^Hu_9gq6TQHQ}4U40AqE{jUE~FZ$&vZ2heXEco9vfsO7qf#J5Rz{;_nKW-D6z}CVW z_cnn6I}zT)dz!#vfhI7!oj}`22()hqfwlt(w9kJB+C$rc*1(+|{ntP%n6evaJ)y#c zK%3JB1``5pB@k$V{0NA*jcD!+xB}xJftKM{pbf(Z+6ot_Fc4_%@PU>o4++sA1lrP_ zDzMva;EiNTmfb*0ZjLslM9V+_9cZ=9p|paGmGrCNvxGovz`_K8R(<(D0<9zvX!{9O zV9VZ-EZ#4bk)t4{Kp@ce+u zbAKZRgUsz#fsxBo725NJ!`t=oZ?(W7J7UuB3;1!f$OAr-o$6}sa3 zuVO7R&=LbJG0+kNEiup%1MPo5&h>|T@cGDO~mD1rv{dk22X%jG?!2XH|O)EX2`pAlj%r5NwL9AeE;zl@wwk;QeFGX&0WSyDANoeD(3zlA{+A%jQV?K|zJ}fk@o3_QC z>zWak$oYh@MgB^$4RHPS9^8}c%&{VC`?i9<6=Y7yF;07$$a`6wd@3TwrO< zR@mu);I0Ev-laUEHpV%7*8Nbul~4KlSS3BQHL%zzRYYe}e+zr-oOHd%7ycpXzWmOl zRNFV9?UT1buCTJ2Gz#5?(XhH+ncl;(p z2f?mANXhhBfLw5|U2E{W0gM~4YfEAAn)n7VVZg2pLk(icHVB&xyxVqd`omnHA7O5H zlOf%mF2x%}NzU`D0gT%_P71Z}I*N;wFoSF7%|q&!57@Qu_S&`I@tX`S1iSXmxSvX% zTUQ%`n+M+jb_uX+Mez+_iy$VGZM*h4ev{!XVAqo18^H3az!)>pf^qyN!wLxc7DMK< zYu91`yOtYX;NrW96^D<5We9d{dE3q=151?J6F>1o1iLoQ5BekT-}TuN?OLK;OSEf= zb}iAaZ6RjZ{~*IA@6E9GocIj;?REoun0)VcKf)|~LD#YA0&G#+h>h!*qV8&^)TafG z2G?dF!#;H>8lJbgIN0B}@10BWVn-U9If$HOGO~=;IX$g_d|fM_LeLctL*!Ln3#noDkR>v1>Lgt~T zqZ_q+J_eD>a-M5rEiuhpdNovIe%Tk(2v%Z9In_OJ3AEbuI^^M7fgbZauya?FdhOoC z1exCpeD*C>&&l=T1|w6+xz_!uPLI6l?k|}`n_G&+QqLDn(Mxr8d@yzX$m;h%o8ewt zBW^hhJ*{taz^%2M!X=|(bJ|k7t7#|0nmTrU8J2S>d;_1fC}I1u$nRL(qho8WuATaj zL#5Psz|yMk6Xva)OX{KGIlGvy0V-eDa?GY(fO=u~_|q#Qz?WFCKy43qE;a|JI5Ydm zSf-1@Hb;k4`ZFa*&Iq}H+t*8S){n)yN0}mXs%=9Y11H(L91sRgIyP!a)f=NA&4uE{ z?%C*B$e1j~^$UX2$t?l8JARwgyfJZ09U2@HvXrE#J9UkJz2o*D%(VbuuFeggda?D` z;`N?c*R4;x4`EX_!GukQ-8$P}JGg&;2pjqr4`IMR*mur9|G|p5__zPT@Z(K$F zo)BZgKZ8NTT+l#V<;FjQxqruy%@E@1q3yUT`jF!~GJtV6t~MgKFkWjQ@&mu(s=QaI zru#m7cP<{ngjkpt4-bAqEN*XFT|xtC^(BT7S5+we&b7PNVd2~te1W(sg?|RaPl%0x zm^62u!MuUE8jF7h!%v94tpewpiN2@A$JKEGw^$6B>uy}l$3KI?-beb(V#RI7!KVmu zH5(haUFSs|rRM7=4kEvxcpl!RxEoP?5ughU89 zlJBG+Nr-h`#5ylxofomri&*DHtn>P3bzXQi7GYCfApRS<^5~X1QBmQa!GP)81z-jD zQDZ8!4W>Ke>>@W|0!-gd>V+b53s>uGT^j(&U>sXAikOAt3u`?iOI8r!Xu2SSc}CZ= zE$eht%c240nC55N!ZdFYcs#XjR3S^qEL<7l`}5rOFMLna{L6<17y_BgtDdN^>jdf3 z=0;Vjq@NDC&|SgStc8(5&bt}0hqHp*N;u@sJX(J@Ooq(^T52644Brp%lHIM=%sB(S z2^l<;KvSV}CoS^yfHAY#*{WN2=5UW+1(`@%Mps+5YDS+AGCZTWRx5K&?9t4WsW|p* zgL|cYT#dvSU0Z(R;mWM%zB(r7%k%3(k&CX3bOYx+&(nJm*jCHNIh<_L-6*obz`Lj8Z-u{iUEW}~DUz&!Ajp4BDC{N_t zH#g3HUorLx&E%gQO?pnr$-1d~N@!hy650iPT*Xh{!uzqpuDcao?LE&b{}xw)2{E_7 znXk_({aMhfDW`ASu>B%A3!@$NIl^d#l1 z;i|{2TXNtJR~6>ZW>QUtUfl0-hzS@B11Kt9dj)C@E+GF>&vnq;eYc*=?FhjVc+m#l zRAzGLzL<%x=YkXJxlr8pFoj0+-g>Te%&&SbG++s2NVy%s*K^?q!*DJL2qR%I3}`tZ zd~;pEfX9<5$#*S*IRTV|}MGep8+TGP#-ODQ2YxoeE2SirWwok*+WK6C2 zZ!TbCA+Fr*y=CuD8|I?EC+e=eOrX`DfcE;t7D{@xe>GmYX#cf2=>FKg!%mmWs7=#d z8EFmosY*i*rp~#GbQ@fi)hZ_$wez{Kp$Cp|Enmz|3&;r67x?B1GIlh{tWMzdnY_8HgQseuA%DS6y^om8tK(E9XTJpl+N(s}=)t7uT9b2&$=TYbS0M$T zqh`dPACDVX(0|tS);asJH~ax*^0|h1PA3<`U`su0N1Lyl`g683<9D>7t))H>Gp{4Y zG#v}tGFKcvo?Wsee0}G9S~m(PwrZ`!ab~ zdo5@TL@s<#ESfS`hZW4HIv1Ucn}vZk`ZnvAvQ@ohNF5X9U*F00x;{2vX-L1Vz2X+4 zFonZnTQ(o}iyzjHvbI!G|6?$0=bOv@5s0l_-iUMFgW8qxkp?@d#nC>M<6fm?-0vCq z-e{B+LKOCKlaQKlT_61^I_QMM*8c)>&lca(x{PM(%~O<{hs6neWBWh&{1RerOXxw0!Ar^HtXmT1_v=$hZoYA%t2Z z7N$TT)EfL@zDfg`mW1%ib;u`L+WWN`ava1I3}jjo{3{m@$h7_L+@w3NTtFs%qk%VH zV}ML68pO_nptu>74`fu1vhtITAyO}n*WdAi$Ci2+6IX%iUYJO4A3ZQa!%jNUHn{;owjhmZF zeDo`H^KJ}^i+sK)eQ=J$gfpgfG+=;<&- z(9nVURUQfYg;1b!c6m?>BZ+i~hzsHrOv|e}GWG4TH-z(KlGfLo6pj&rQzJ}6?G+-z zwz!}U?@@6VEFryOAj2GicdK3K&qU|OnjM{eSIbsuAIo;e4AOS?t1r;WRia}eC(>E# z?kw&`Q5U8#xz>cP{OG-IHKycyw;3##6=P`iS~B$9C(HVbm$I)%)WxFf(@`9RoE4Sads|^^KwYR@@c1o2gveF^b?x^r_{^$>6S~0u!Or&IX zM3J?;ZD(6YymQ{W9_#y#u|eA3I}fT| z3pTlpV8Lp@I7kT{v$yaavjYUJfSr=*s{py^Uag@2w*@N*Xa(}{*KK$URua$(7|}m4 zWaNa7*^}E^frdCg3r&FC?hdXf>X4uh110(KUs}O)?^n6N3E?K*-StyK;bRe(kgI+ zndoP8{0=V87YfklkX@~y0niGb!#`tv_pge3je`{lT0xEGPRA^FlvT4LWYjyvV0Zg6peBbG8Mh)R(qdQ9rr|{){xaPx==5ECa@7c!qdiD<SrlawulK4{wo$)gQolSu=_al#dFufAF+8CB2mP8t70RbiyhV2() za@od2{Gs1FmNTETDVSf=>}-idF1LJszZKI~W0@oBt63Lzr})*LH=`-~qeUv!P&a$YUdSt7Y&dRiz}^Y(KBT@hXVq}beCR+b&vV63>L+csdU zYmf%xS}cLI@wR2}rtV#=z+H&%H>|PE8Vx>qt+afYrDt49h=VhLh2Ttfzr6-pAGV)%DRmpf!5y&F;pt~v~2@}e#7{Gox^JR5} z;LW!>)tRqqB1MhA#$L{PT^A$m_@lczE4d*--jkZ+%Ey$ZB$bF0x?exOX-?Kix)OIK z`)$iRt*i$%b5b0OzshRGM-8edtUCIdJm%|jMSWd(dMyq5Sf`&}UFUHN zPd83XfR1R$bXT6^m`&2BT-%;PcN(s1g?aNsRS^dmQVa7JiJ6v|X^EMZm}!Zb_CL$C zpQQF?S_5!C({6x4hrN|3HNG-aAg|v zl|)uudpaMUL~C+Fy`%bsaN8pehfCnL_ChH=`^O--3Ew-dD#27>`L;&qJ_Bs6rf2^N zKN>Gn`ga|*RyZKj3XM=NvQoL&IL5<-%u+^E>Y3?3#)D*sxwq~%dGRy6I7U06)b~Nv zF2^=Xps4>!a&%JyMRwe!IP)7fJHN*%HN=R;^@zG#)X@2tCtd$wpdNbfTh{AkFDGjQ z?Z_i-@LtDsv)UgEKCG>@;mhf0SyTOlXB~G&C463S7?>p=>9l+;8I}=jw!jVJ`D&As z1Fp5c5D9AMT%4ZFTi9`?{0^EwVml-F-)LT&r-WarWrQ?tX>@!o$}Sfvdwt{BE@p zNCz*MjaI2Gr}~7VMN1L(F$qoAudnu%f|bV8mD;3g&+1OPMXZgTn{{hWtY3UC10NR8 zJ%`Dlcc8d2g1#hEAQ7Cilvxuy@yQvQkUe9c8q+;3XeQG*V6!+^mAyTdpt6z`BReTJ z3+?ZdTg_uGp7CWa=uW!kQUOE!>*ZTm(y8YetDmj3%m2YF*o@0o1f;!`f@#r@`BtfC znAaesit(D#6&`X<5<>*{WpC=y5ik=8DW%}L-%%9Kz|#;q%+Ll>pgPe7KHZK28Ie>o z$Ikk8zB8f_&qA;8UWbQy?K6x)y;r8CQ2b8AMg6@E{CgRU8@~*;uuW|<2+Lsdgk>;! z{4&_`FKSETvHc82S_LNi%QBd#C(zC17PkM+kVIA_VHu1O&QV67wg(XawVftVTR}>u zRsnLzUTXXN_cE9`Ky677nUVNqFa?0xHlkNBWQ+uAE458+8J#)oQ30a6%V2XTo^c;G zO7b>|U)a{bCj)pU3rBNZAS{EW`|w=AFN2lrrM3rw7cq(n0=0c07@)HXon?0CHpDN3 z-36$v9ex=MM9Ji~O>O(})V3I)w(|I8u-Yncmzik2AbuH)S_M{&A$zt?RYegemxb*H(J`Wvkb-;bXoV4wG>b&YwLm`bjub2%V6*^)xNW_V}(EJW?eeo zWi7PU6)n-FqXsPdR_Iqtmt`4H;93K|gLx$y%ZHK6s)o1_vobolInN5u0a_Z@@_~tT z-vd|UscuS_9KQ3`-S^laxQ6))kMlgru-k~WB(hSHUNpoJqR(8eEX5@5HEIhTu2I9A4??5 z&ssw&B~qN!9%xT?w8h#i2kOyHQI!8|E0lD~yp1q45`neW`7CAGa#-Jj)wX;aP0xB) z_rrp>tE-G6HzTmF-`H2XdxT%g!*ELbqmp?}b_Xzr%V7-FzuUW*<6QiyZu%Zprfpm= zw?IP3>P@2)Hz@QH`y9d+W((~m6<94bgUmB%>R^}!?7ti@whxR@CRB0Zs`Kr9#Wn^e zW~3{{dX1l!w2!FY$*){wo$j>3`Wm5O;9+f7?P3bt(b6xQG@4k=TwmzmrNUE`lvg z_0_0zxfgFPU>AMU(%j{?a5I~rekj>bDFgOfb#^2qRQ<0!sL5KK+FTZ>wEEo+>rp27 z%$SrJ!Z?vC34Y{{{1W{IUP$Zt%<}jhcAd?rN(^H6Nf|^+4My_vi$5?Q3O@gqg)cy{ zb8PUgXn`gsBuc3IWyDzpx1`4>ZrmM-(3&xS6>f2?dN|U+=lE#U{ihcEP~~SMBhgkl z6QeP9m6wg4nS3}t7Uw$pW-R{dx64oC;1nmupL@~&7}G)>emnjmNU~rk(dgKZ@t2S9 zJg|U<`5c>g73=)N;(4?OG0zh7EHTd#^X>o~?-8n`c*?di?G)>vYipyI);B^Y{rc zKSG}U*$GU5{V(?3@-51}Z{MaQ6iF435Ed*zMM98}0a2ESL71qtAl)?s3@~(;sC0<} zinKHg&Csa~-Q7Lp_?$C<;#%uo>;660_3GZ{#rY4Mua0g1?w{kh&1a9=QAM43Q`q5} z?m%)+V`~J3xfF9~Vb?e&PESUH=6m#ek~;c%SLulUk}ECKFu7@0IWt9|$2HIpm1k1L znE^hJ%13HmQF#y8In5p9n6wyLfIQ0y~LE|X%_stqfpxl7^vo>LZ zXRVmho%gJ~#WcxdaOuWK1l=-tfHS?(M32+MI=kv`D}7eERIB&Rg^F zBBnusbKT9?YAl0e@9C0qF*F)2yo%T=8t409+d9y15p^4+dv#W<-sz0x`?^NmTMFCF z&W`tE+x+x4F4%R1Hd}tc-+OsGG@?DJ#wr;VWpF_6XyZ}4aMHW|KTjO^8`0pt1*UW}5deAae zEqj0qDFc>Z2+*)#sBP1Uw55Q^;^9LJVN`sSPbs6^T7D(ix36Cz$@Xiwq;=F}-;A7R zVdXjBhK_hQ9JYC7z_SR-&R2E*Qq@w>26JKQk)`uRm$={ONxIuC6lPGfSQVZ6ovuaE(x|IZRhYi&=aVbl#)Zr}Uc^^J*7j^?=k0 zGStYU1#De*gG68FS8++wd8hjg@X&SF+zGG>1viS$%b8*<;06}I`YbA>p#d?N8Bzkc#Q0B;X9j?vS>8(D3Gh2fj9fJX^A0K zYy>ho#yZBmfAYNHHWHp|ouz!zNSklxTa}~Lm-7M@gpGZ%Dk3t9lPUz?%QlH zY3;JwHv{Y^wC(RFjNCex(Xdxy^*&T}E~nYH>t)nNw7Tl3X{i|D$Nf44PQLB>@@8-V zLUqO|eXFC6#k!nQaza-N$)+ zL(3oAtb||&!CdnjuLi83eHwTsIA|GE?&+9Ex`T9CLc*IgSh6G3-6pP1idL&`SU5GE z(z~t{1~Qk-j17#^6&cKL@lRZh2`1A2LutDa0?&%i*`2zlb+s`#*E0EgpT44UPY3*Y z_Qz|flMmDFDnoU05>)#Qp52Y;%&u8aHNIqUE~T(DL&n-$OTtK#Zs!|<*e1)88OXNw z$fhT`K3hg}fA~V$^$&D(IFtxkb zGk~lC7q8C`iHkE1?8R6;nz~Bmf^ez-ZX;60$g^m_8aYgfGOJPsEmMa+?>P~gf6z`l zO7<|n7M(J`01gBVbBN^DJzOvIzRJ@`>1g4HjOuQy*{Z+aY^lH4H&OF;meBW% zrQzB6iB`vrJj)oX4}p=>cfs2Q9|nvql$d7}Cn$JU9ndCwAI*I(CDc=yOJgc z>(2`Pb8?{&v+fS(rVctei!2uB2 zGHfgDH#hf9*H>H)UrA_e0U}$5X{DV38oc5hS<4SvX*B^NOXUL)Sx&w1$em5Cf!pf#Hm;DzF zUobC1s%Zx@9qoCv&nmPbM1+^UeL-XNf((c;&1GqoU2PWef_hp0OwVhd2dH8V8&p^p z-=uuj=4c74eM-E7_RWYI7r4gIq&*NCu1-EFG8xunt&-wig%rBspq0*AKntHwc*T3sU$Q|SuCvZe{22OwPfzv3FYo4 zowe-nOPaT(BfByj*E2$kjZM^hd%xCfrtJ%;KTVaQw0l!IH)o2rbU)4+{8O-q&yr(x`Vt(ul-6VK4T@$(`Z4d+?bEGU`B z1rd;@mvF0yYfKZ&N%e%ji9nWZntXaLuQFDCE%9RXtSss(qME`w!!T;-!8B%GAu{ly z%B-0wB+p55C?r;5S}Uo@r>V)Rgap!Ze^|aug*)iu<4c-fZx@?~C2SrJDg55DS(nae zjPGAfr_&qJZ2!x4?E#Vf%e=x_F|h~7*_QA~X9;g#c*M^a7=%YECDncF6h09nc?Y|b zl;kh-3g{*KYhnBQ3UAMm^&ajk0P_kujvI>Hjz{JdHi3DCWz4)n2X!M>F8F|z3%&tz zfyU1=S^%O8TM+X*8 z{E!P2F>*nzH`%$*lx%<7hY=Sd(V8JI96|h7f_|FYqxG0N@vbZRVi?X;Vi;J@VQIzFfQWH87 zWm#@}p^B&Wcx`hoo?A^sl? z5%(&Uj|gPAQj-ra<wfVdIxDP7Rb|=t z*c=eO!Z6AKlM!@uxi$=OVZz)+i${BxxS*C&QXzm1C^|r*YUMpHzq;F}Ntr-bHTfy) z4Z=6(T<_ERo4m`f&b5zmBfA>MmRHbzGIY@jgDa*&wTQBdwFsS(cfbuc#3?d|PE3+E?Dm`II2&859e`dsV2j)iz{ z`5PJQj3x=wdr0Mu`b3fJI#m<<$=<=QZ;z{zTsE@-@ARJx0H-WA>3jHY4{i?R!E>5S z-5%0+w#ZvQvb){<)C{CaLb;WPz7+F9J5Xh8ctE&LbI#0`@9BO6?L|x1*xiZq>7w=h zC9B>K`z9}vWQ2WODSOw{7a=n%R^|j>bG)T8B1gIHbQ(SLmalK-F)))$$nu6FAe%LF zS)<*&*)nUVZ(3P*yQ2+lmYg0v&kMHikprDxAZm0c2!H;KMkX2#tl2tJ0svNFvx0G8 z33d%s*mkD%DO58z)w}q|zyemA1pq7%WxwBMG14IPwyipGVd%Q-4RfOR)=>5jR0Nc; z49TGPH;%2Ykdndhh+aGVK`oV0&M&b-GC&wl^k&|R-l&XF05*0a8|6CjSb#91dk7V* zC?R_T?VKSe)yYomsyV7a>D~t>I>w&qeDbcqD@Bz-_Q-tr1*2AY0NyzdKG~ZSv~Beq z9I@VUzf6;@LN43-lJuE10oV8yPxdD6SRzU9zKLSqjE*C7mp zodbevnIr4)0fW^7f-65JxOxM@mCBb1A4)9fn*;>cCC6|PJJ8Z0gT=!H*CG*nGd(AT zhn_6gu?)7%zGgqTQaN{zdC87q8LXCfyvYABVS5N*H^XqtU^sICXAa=Z0h~F2GY9@7 zb0GD93a)ip18apM#k1c`eE&YU){PG0F^ZNFzD>7JV+lGsn3f-{koq0Y#5uQAtRhLuYBj5k!(%u%hHqR?98~1%B2m&(CAq4+`p)VlLass=Qc>*;G+kSb_L|ez_u5 z!1h4W0{!;eJsn{#fYO$khk*S?EtPqc6Pwrbu=Uh)yyoupMNsMBXz)&1T(Md>N#AM9uz2~6CI z?N8jswe-!5p4o=ypyywiMo-<T?>}M1}cEYUhd#wt7ai!L*bVF;QH%|g2P|t zz{bY@c@At7I|ue-4Qz1_Eww)fChN$dcVrF>vehN6xp`y`Y#3F`S&@F6@k=^;Jr=+w zU;%6g0AQtl0$9rZ9E<0~#P(+Z`WR09#6D#|`9IDhz-nf9eQY!sb|w0|0wJ$v!iVl;$wUqDh=plVMU)KLPAx zQafU9D$-4AL2QmKc}`E`3Iy4qpE3cEWBGv`3&R4~H}1jtZZVS%LnJirK#qlB0PF^k zV>O&uoeu!4F_2?hF*!B_$gvr|Oz}|S4&O{5#|AkiAniawhX6JXlVhuq_I9K&g;h_M zVQh}ofVS@E*bL`xH*Z;2EPy5SNkIlIZ2k*_#Q|6xfW-k=9Dv0ESR8=;4*_i4o%2BH zY|+rkbO_?E+HF0sB+|e3bje+yX_l^d;&-5QR%&n`zyhVSl>?}4rQ+pp`gXvU*Y~sZ z@X2sfN4mzL?FA+H$$$(;TAtzK;`9=G5*bc}QC0ZYI4I8KF1aEShNx~qsz%OddNcTq zEF}ZhKq9~2GryaZ;zU(~YG%Fy%Ogzc^c9jdivjjbW6Z0fwKvktLxZ4$Y=YfzdB@8R z2|O>^X}b~P%^4p34VpIkwhiMFf&PpxqZb;w8l_|e(cT|GFV|GW5RV+Qf*aN+7#1Oo zV(P!$e596;rQOFl@Ly7TS! zkm*9I*wAKL%Dp4B2+_i%_PZ7}??%a_A=T(N{bt^QpuX>C%u5j^7O*^(alUl3tot!D z-ufdy`L%!@I;eUrR&+um;mhG0OB702e-FA2*1Q{$3irF`-$ zeqhyEH1T$8xV+ZNVW;d<>(6w1^J_9!8w=zu(~-<`*XVZI*9WZb{4$xa1kBnV=GY+5 z;t}@PAG5Z9pJV?zYs>O4lL`Olb1Z^-BMFydas6Ak{w>vkPqS&oK6Hjk*&7$;GG3$W zA2U{Qrtl=yn4F%=YL#Ks&3-O%aXzOj;I{FTPMz8LJZ=-;$9Y3<4S8WBYBv`O=5l-0 z3UA!@3cY??QR+HPPC?2de6Re(YYjJsCyE^8$-h1QohY?ov0`F-Cqye~?|v)isn;~e zkHvE|F4ZsvPG%@1noopZe@aSKc4o`w^Gd}z)O!YlPt;$Yo(Fm%m+M7~dM_*3!tlbi ziAtDGkj0)nMM5d-8@$?%^l=uV6kjAV`<;^Xb+nYDM%{ZDyp+{~q;IhJa@kotTYxUOMf!v$G97EVYrad$t*Mibg~ z&JLh`=-~2y@cofis}AJYvXNjuAjfKK&ximy*37XjL4!=0o{W-3!TDsLI?=`8!n2>2 z+}Wdsi2}PSey0fZQYaoel@eCXA=%=iX{1ia__|0WLcpJyXOuY)Sha zglnQ;=V(YMEW0YhL@)dMGikFC7Sw~_m){C}e#uh=sg&2@d!4lN?vk!8=z#~&Qqa`+ zk~G`4*2qLKVzgLC&`GQj&Ab{~<~R90Mz@Z_n=raaW&EmXcdJ_BQe3~0?hO)#HunM3 z*!~maLfKu_FcYu1!MUm5z-Q}XW3t|fHBCu-K5t5buO&08&ioO=)j{4ZlrnkG;CV|= zRZecsM`dPxwQEm;ZLG8GOXk!G?W=--(k+R3LjxtougEj&DS@g+ zcY&4yx`5oAB!6QI!`{B+W}CuqsRlMq_Pqy3UD~7DomDm9*YggGstHB?-yOka@g)XM zDCKUr&q1UO8QfVAt}2l;GfU_ip*aICplqIV_GBCt@W^|F#z+N0AWd3@f+}BTbBBk! zqYG*I2tJAxV#D1&vhRbMx9H=e>E?$of(z=``z>52d#7&R+H89RUkeaX?GX#DCv=jO zs=d*wCw*(XL0@v!k1lFj8D-a~Ij|lS7(L76X$KkWDK|gEA+YfS?(c6oPLR;}Vgv&WnBBz)22QNQ2Vm9`BN$+6x56=k zfgcmT1F@iA9!4;5`Y2)#S~>)?c$nI)1`#Ms52o!TRUxYH7PYhhy57i%nIhV5A- z1*=*-b*$pAMC*y_Msz3h+N7FmR~JR|`bTEfISsy^Zhw!B#9-AI23(Np)F-tm&X-1Xz&jm- zxjA3NnN3WdU-~#uO1zr1l`;u&?u}zY4A4(YI-3A3CG zegs+)I!F~6dg`UJay6ajQod6Ef}UwqCv)sZ5qclej*+=Ss$WJgb9+Yh@l8TX`z0&` zkt$;XBwJ0IEG!3w1+CMmEAQB$XQA^mt{=9TLQ|pe_j2?A<{7uhaw95p;bE)_Gg~>u_)sDteME_V|&) zf)SvwpjsTgA84;_)jVVw&^w{W1LyDUg#6u+SLb&QO5qIWD$vNW(@U%z@uCFn_u#<~ zNS#Tfo}QC^5bt7Z>qaDnM^G>Mj+C`aBaCHBdc|4MrQYTba^WFodMWhEv7w#ewNGLA zO-5zAvVANZ@lsu!th3av<%+9cJYAN>U0i~@$~->M-{!7e43-O0KP}uU$=n9zUnBUa zVdvd?=eC9e(6cr9qi2itpl53pLB0N`o-IWelEa>@4|y)eK_pN3?U{#R9Lpp(gfKl@ zgV>&}v!pb&TtvKG)Q+u0a(F~dAE>3uU`%bq7hnW|56L)zo-J1B`#cw*XG;j^*;;~4 zAqWYuJzMAZd$tshGJ`jA4KRbE?UgW6I= zD9BRE1+(^ru?#Fl1MPYn)R*B(x>Kpj(8aq$1T7+^OII>nmhEHk`8LaCrTAe5k*Rwd zsEY5*fv#+yHOPE*E17sRJSz!Ds0716XW;x!f}g+QQKnRJrY(Bi270zy=xeULUG%rS zHv|;N!UY`-RxiAHaXLG+I;_k*!1eRk*_}PR>;Ducv|D}Tb^C*OmDLj&iCucmv(oUn|yh9{nC_dsb0Gdi}k0A zat1f@&bFm2Sbe?*G!~RbwB_(#v0VW=ZR4I-mZHrv^oysJrLQ8>h;1_8q#9^fMs$B3 z$ax=n$;g1VsQX)uO>V+T<7eQ=P9V%?n=_lJ9wyjfLqjgxu0+$i01Ft%4v899vrLxg6pyR5y6n(wqJM&FDv zBh~5|TkqVgy#%*-6S`X-!6{ZeejK}8E37M00pdV*`|N zn941*j_b%Rf{i0P2qC5tryP$|Zna@5w|20VTQ8uP%B@%|j%~rLApFF!C-!k{nIqHi zpYOd`NDp!Bs4WK;$9_gqlVEXdF@R$MEfwh8;&*1HhTbsy#gjeu1II35?!AhTwj2PC zZN=Pskj93HM^djOky0Gu*lh&tnI23E?o+Mg~hRt-TfhM5lIexBs9(dj+MgT*cAZBvO2L|Kftm20FDj9c(Q>2 zjy3aT(u5L+_@)9lR?#Uo)DEP0h+{P{o@{xjy-lr?LbfMMJl2zCg*NWvSTpDDKfGn7 zu{gHUJ1I0^CO=@V>z`~{9FE1|SR9VU;aD7w#o^fh7{}f}nqcQ<0UXPle~4rM-jls_ z!8%D~aQ7^*SKFTs1@>z9Vv@>E2Jq9I;?Yb~iRd(aoViD5NYa)AU3#U$8rO0+;w&J~RpsbSR%*5=;sMx(5P z&kz_-)`4f7EP(`ZO@28zSY=?fY?IA=XvOKx?uSdhV#RlAE~5h<`jK6k46A?Ou^KYo zs4ZMnP-At*!l!gDNc53y{jS8SeaEiuMZV1z8(yoJY^HHhV3}6w$y&nf+&J&;?bgR? zYY|+jld|j)9ey=m5&#^lXd3bLH78{(C*n{M@&z^DD2-#}o+@ z^Q5aigO0gh9$)GuV<1Y+)U(b9nqrN?_PuMsUTs6kqGcpw=hQ|(48h)&9|@|AOaa` zwb}9%8CY@IpFU{z%{6aCZ8M*~|t!^MS7juWd}=#nW43VU^EpAB5^IY=uX% zf7_aT@5``#KOr=2JE0(L;c9FW#W+)(yN1_kBqI7|}V= zs6nXQo*jGo{mCug>RP`Ip${(=q4Lr_#Lr$xrs#8>`5-FA{pddaO^qcSiN%rF|D43C zM&B0+eHG>k+}I3W-6rt{m#M1A%XT#5pAYJoK`oh8po+F`PWybAct zEAQX^Uf8^WRL>a;aPl&}APj`mTv1!{*N+vzMa zMQ8<&&T^Mnt%!VfMD@kdYp6|xN3%doKhq>gB%&=4ZuuVHcud06w(S+C z!aGAh{W}WVt+7w6lEoxusMsS~qKU8A7SB=fTNZp}md{DP;y-g08POT)k>hFYKm2g= zEHYg!=Y#9X7cX|UI;%Yd({C0VF^lY!WpS=&8-wP5JF#=KR&pafL{3-ZVsCH%L~cSk zkYlAI`X)PbGb=}xzsTt2=G56hgpFqm_`3VTWx()nd&Z8Qy@TU5c}d683<9eU#%a%+ zvZnVA@5O*C+0drmri??=xto>eSZ99vz957X@HDz~-o9fIa^>r+z)uX2g2AtWlUz}M<0Mcq;r)sS|V#C}&BODh< zXhHx;tAUxSB?6{urC_X@2UE570Hn>pIJ5Bpqz&?8a&{oj_A3P-tr;vc&mLrUI8_V7 zII|sjP_HSNLWdViIo6q#av0c$v_UT2+CH*c*s0o4pMt!9*{P*s2*yEL9HhlTS{$Us zL0TN7{ZAq7Cm`G+^N)sGsUP8X>{+_~q_Wzk-CR+5^pS8&Xm=QHIVqhf8#TUjZo>KA zrMnIK-rSOhz&B2}xG**jlLP{qfzG~WzzC@#pL^vk4rMu^o?pVC6Y8t(H?aB|QvLnr zvcGws`YEj!2+%-!fGc!lRYe37Zk>T9E~dp3wbyklLhOx3&x=FKo+M_uWcz8br-U`g z23fql57Ih|%&XS1F-7}TKAaHp1ve>9WQL`JCeQDPHjAcNhTMm0dvP!{+C8y|^9D_E zYcaGwmRWmydQX$zbE{Q__e)gC?r*p5UTyIXuu4Rb>&x>!?}**7N??#MPz-(k6~3MI z@ru#3Tu1jen}xL$X^Gi~$cS(6Yt}#A?lV|f+hTJXSP!%}o_*TU(}fri{QM@`=sI6- zcMGT0my`2`j{&K+fW;uI;={dVlZ%>?Z-!LcGi?84K z89QTNUd=}S;K@ZOYG+{ju*_h!e?`YU`$LJDfe5sn5@A&Z5L=7h$nNSI$fqA=2Ed$G zOZ2>xp~~PgOF@Pl#k^l0bo2rK5GlJ=S2*IguJc@5@VhZf#2vjOr(;oH*jTLGi=u|9 z-U4d~GQb*w+_>1_R=qv%Nc`R1DGG#0+5H96Pv^o~9%0uI7%3%HC+{m1l|BowN{x-0 ze>S<@IV^9LR|*<>cw`NM3|K>82ij!!HG|U%o7D{)_*hZ4b)oa=kvXrQ&g{-#L|M?k zh_XvZMcI{OeLKUeSWgx$wJTeERFqx$?CG+2M3l`3L|HRHl+{zeqt=3^s%y+@_;>!%xVz@5z=~F;hGFw8B{K zlW=E{eGGCs;pKjel<3?KPZrNTk`6{706RDAg3)9Z-Pwjc0Zlgd<55rciwoe%c3?f( zN3~uuVYc0Q4y^bXPgWZ6WT`No>@o?B*1jhT^8h^AWWbXh@&Y{B+*;~tUH<%9AHb7c zo3u?v5V{?DvekemiwDhD^4viQ*-cT4VLjRMJU@nElElZvXTsz{yo6}6o@}I^-Bj4W zX$D@W@bU53wutaZ@$m3?fDi90{uewvQZ$|xj?Qka;^-`n&f@5-OBIKXiMOQwJ6bN1 z>KIvbAODo!6w zn8Q5~5mV-YVzcaWXwup@WEPxmJlY6~^C5p+u+Z}J^JYI+mo;-g%O=>Zj)U)G`aQUI zNR&}1mnuQMVvONyhT-_@FS>FWBVO4g7t5ZY{LPK(o~Bp&BUPSDm#_7l`h)s{Y{ezj z@P=>mS-(Y4hf`PD**X^P8WSYhe!g&3dWZXioPEv0@n> z@#c++J6%nUAE*o-g^%Ot?0!jZ^BF0DIYw z`m;7MWkDVB09}xG-wW};qAaFpe*xzSAw z95owxNfHYNroG7V&fIiuaW>buD`!3vqXMg$7xa*TC;JwaBBwe_Iv6py=do1!QcnM4 zt2HZ$r%1`9v8l(X{U8x#zSr-~FMMLVMu>#1D%nhCU2c5{9rHU@i>A#r3)o>Cy(zQx zD%^k8QbfGJuUVu(Gr%M~QXFJ)44Y-6FG5Fur?jhNPBV?a1|9w**0$X=W(4srQ4f@t z*yg8Z6-U`WMxay>@{GbPG_P+~HEFBCT>fAgVd!hBqg8H${q#((ZQn49Wg${!!5Xn$ z^-%8UGC~EgjNpOwWPw)Mfn_fzP|@KsLS6BM$X{D!|GJFe{*N4Xg=FMc3|oY9oqCMM zP9tmv2OX_07+0rsA39Q900pWGHuskiSb=4PpyTma3fqREus>DVlLr*mkqQ6L%>}I7 zhpH^09VeE;rXi`xuoM=Kp|Dt0R?(SN0D2?n7gd(zCxyi{7nGoEIWZI#qskr^bp*9y zRavP6RaOy6y_Q5ubx2`%Ct=E7Fe%obs_erlTOw{M;!SD+EQEbZPgCfOp|HQGvb-1y zi&bT<-2=niq7V)PBs8uV3X4%?*8o*k%86C;K$SJbP*{vA8;qf_zD&+g;%wh^425-y z&$9!W9jdZ0j4E51XAhZjQt0qxDaWd^QqblD3hUgh?JcW?Rb@xLKj!_5CyU2`Yc9YY zd*P0~aK~Oa#Q+y#|JxyU1oVnK-41ziVATdCG5rz4`kwmPY}*nMwbjT<`_W4cUG+AO0uc#)FHgrZ)aw%q#U7j2 z289$fy6ITFODWdl1w!n_0n7N7(Q!}MR?BnAFYixB>tAN<>F|eJCa;5LWUoE%_#kW^ zdyafYUh8>XvW<1zL*rpN!RMW>HS6#7nKhNgBWfLEu6$OOm{WQv+F3YZmFeza^g^V! zt3^lHJ9s`tW74i08DNu}G;d_Qc(!+NBR8wsVOBddvai&}tXn6N!G_DPr_W>KO_7AD zEmFA$HDCj;WHyB^+V|~s=BZ3yrE)=xv~PNR`DA-iQ{6XWn9f7g_jgGx%Ou7=yzi)j z%7kZ>H19*l{>X=;PpcXFP<9Q!7cPL^H!<+N#x%-EDO!5P(LCUA8UdmJ>DV2gA}(wc zM6bTCES|V&y4B_`xfT{ujC`F~PiVPc#U<%vSNS+*ERNA(THW+&dk%|vsHf`OJ+7T9 zXNiM63u&27-SBZ$omNBG573#|lyF5af=Qr5cL%`bz0eDNWMLF%%X$!If^?Es2L+s_pBKXpcm%9n8}nQ4C_n%87-8!fqAE5wN&%oVq3TZ%ef> zV5t_Z*d5?iP7I*0t})cd(qOMQG6kP9*nYnWBI731c2*g@ej9h>R z$OU*XR<;AV0Ps;hnqlOEXdu=q`Y~O1Ahz@?0%9#cEEQ}I;y;uNq%d+p3mEE_3{wd4 zVsXaG1$YiU`>|HhrJKV?mK`e>B>3cj1A$Gi?fidI3~+J*PAi?LG&2aVpC+LpJ?+w)bgxM%buJG`)$%2C$ij)>T^mUGxrrrTe4Zf&`}`VV z&Lz+5elMs~HdVM5GVPprMwuRNf_NOgeEs_d=>-eQMIBdyX?ey86OwB04VV{X7-@4U zJu5vYpC$cPeoEZbzeCNgXc;;$fR8B&l1E_n#!WcvW1)svD8_L z)t+y49vfK?CFUQW>+QP8E1aDoVQ7Nf?&;mwNH3S0Kgq7#S1yy6RcAbJ^zc|Jb%e2T zbJKzea;JBq28gvKix#ut1A8XmvUv$Js33n#zu2JEl$`?XyYgV_fOWQjpP`pHXrwu2 z)9qsOq9<4-n}tJ`4_z0o?_v-9uB7~$-y6+etM86)OBR$pgfA=IJqBa)}qJbsNkyB^{Vs^(Myr-C)@Cg}k*QwuaTGK*6cxIdFLnuVn~($&@_bQg&#X ziT+^Ztm^lI%JKb%SvJ%B>Pbf{&!p&Cbtk*-I>!wwltaHVYNtHuf7LL1{eRyu8yxb_ z1GfL?8)k1>x&VO|*D#wASMEwmdqJf(Bfip;iv3QMZ05UaUwT108RvY=i##oD^ibMx_t)-Q3UJ*?JwHR2yWzata#Lxol1iOv$PjIP{m9Bi;#}HF=DL4@B`UEENZf3<)oSIbjrhx8ypk_@=MSb zEp_zO&GOB4QwO$t!|2QT74!l8c6gtM@MuN7i5+E`E=OsS1tyhqBxZP5yN;Z?2B{v_ z&-A?n9cC!qEM=Bo^6ai2W~u}u0G-y~6g14%u~{V}dD%ClSe+gbR<~`PLD@Xo zf=Eb{(?V9nF@F|`UP!B=jL;hZKivovYxGkSvi;IW#Y?!|;8tUmaOIM|yp~uyV9Q2a zmoRv+*!|U0lJWz?i|Kpp-7W7Vtv^5XpJ4z3Z93d4O|@iJ4prCzpUF-OC7)Fvjp(YB z5l)X)F?zYv(_QAVkr^I6$67komdBfunRCh51gzZION`3XXEw12?d{C55r{pQuM2*m; z+te)fn>s5zcZ~cUs5Ag36WkYzMyZ@c%h>~l1;uy!SUhd(U&1ZkDuoS9Pz0*ri&l^_ z=T07X+RDcV;4GcPgivUH{hOGzx4kOWwCTe2h6@5V(r2bJA#r$eCd(fM_og0^>>#Tb z);@%mOp7>ObyE#6Pmh)8dU)W_o|T(AjoPSTSlIZI5?!n3S=hbDvYB%$dK8kE`zW85 zpYFJ}!Q;F1)|^09m*SxmfMn%U4`<<*%H!rx(2;S?7Avh*cmEa{U;H z^fq?@Oeom&{iz#6_*9)FuO209sIjo&Q^8<&fuAOR$dM(JY$545 zrf}BW0aG}OXO9tS@f-n>cKL@$TXs-5yN96u{wI-k$%Xo`a5i1Z6;n9dYR~NKj47P` ziYc6(#)`BYq%`eZM50GUS`FtPg|qyCNLvO?Q*s4FT1h~p4RT&V5RzjHX9W)mXN7p_ zPxvey7S3kCn3Fx|NQnfnB5hmOS0Y7Lk5mz7g8RSEL6s~qo7&Y0l5ljP_Oq=x z$y&Y$91p1ah|X8@Qdus=mtTTaKOEcxvMp+!56HHf=yyrwr)3gR}&bX6zUVo2Ep3FMkP>d$G?lp?D-9D)PR-5X`1?1tZz z%yQ@YJjSe^Unj3~`E{`0==oclAc>7kTj$*mJci-LoV-iYBN{I++_kO0&1;E{NWC{o z8){qm_=#myH%M1#2i35AB{Mkio|b^PTcd@f;A^Cj?sbuZCVQ64@g%CcGK|mbyc}2G zQ97_(6CrA~aukYXl+%~HxLxPWqVUcdq%UjP^EGMUOVVxCY2Mpczs0KM_}@)6c-9cs znF&mM8TXIKdPY>2QUrcraGAa_d$r3%W+Pem#TtD?;=RW+{9Ca<=So0z93G0p#>W7qw1 zzzV+DKjEOudbE4?3=nAf57rYDZ0p70D~Ex$s_04_<=@SL{XYlV4Cs$Mi^c}pO-I@N zKr4EUrr=1R9V?!XhwWkmZHDG~8Jgp(_S&=)`+0U5JD>o=4k*Ad0}9hW@~qTBo?S;! zqyCg<&0NS1^K23ldl;r@&y0`FvyU)&b{LyynMi5sxrq3W=Gmd2hhf}6o|S?oA~ANchoco777(pAX`kb>XCeJRp zvpHi16ta)z*+-Z>+mFq&YI@#^qIRQ7j;!&R!!S7@&t_l_!*)n$jQ8^_D<;oo0eKdN z8Bi#zrEbyXuh7HfS+u8J7J@L~FweFCc{UDOf$}`IDdaXqEsf2y4N3=jmNiT++DnKT zn`b|e+OLTI+Z-4!&*JhdF3;lfEH2OD^6Y;l&mv8Z=Gn3lYxYEQN$aO-U&sp50bP|QL)wsD{ zG18St^C1I`&~(ZGhRG? z9@*V&fL;t8j~o#YdEcm$b~$DgG{xQ_*5W>}98VTKE_I@?&Dk+KfzEhpbu*j|repce z{GR?z(}aRk?VU33at1 zi!ZKW#mMtU|h43fiJp-*lhNdPDo6Kl`J^kz+r7E}$#AIIIK(ME$P)0bgdQaQz zTyJl_3^=a|NVx~{!8-{p<3UKzIz?WgT*=}ylycX1HQ|C_kl9|((=;n)*$S;-eTT`N zzPYrG%3cX`Z_~&DIs~|8-oez~GIB6A<_;hqF!%;@k&iNiH)|fpSa{vq?LF( z>4WSWxs+FM$ZE-NZ6WsdR;&hg&bEX{I!k!_!XtjZz#u$QDXH#Tr|^jw$vfDc{_i`r zPm$Dk$vCGL*G7x$JHYiF;Q9`5eFs@_uXZ@^-0@b_JHN(3Zk(LOV(`lA&g-YAE_vVN zyYSiXm39Kt_?ug|2-<^Y4Br2C{^M<9_x7M$fC(p5nU$lv))P^lvjfPDhQLz+zef zS9RzMhLrpYVHOB{rD&p}`Eh}bq61@K1+_Dx(!VQ4muS&c>l znD!b6g=J!P)UwLtdAf*(=M-x({m>~Pk*f$>&b7ELrU~Bj+ik*XU!nyrjmkc>Yxg5w zPrPZYC!hDUe1PEgg}rj(8n`l)6z}PdvMx_P18K*GlH~!1iAU<#Qmd&^fb)p1wjBaK>Y~ z)7UoJXL*I0z^Vc=vUiFXRZ?m9?NUK9*r1(VpEW=8KABe8`Xc% z-4%VYZ;*it(kdpoW@XwpbrT6jT!~qWoa~*xOIHYt+zQ12Bezl_TNy9aj3Nfm67c9#z$01a& z6q)e#$HrvOyOj~Lex~I3s90VMxo`S1 z;}6`4;bHE?&_MmckP|EZ!JU{ja3`jSxf6>7?!@^0nAjYMANmylcVbkq6eW8Q)#05O zE9OqDNeSxW1yisD`o6GtVnfib{W~#!mu?~-Swifcn5$2=Qs4&UUrxnvcVf6ZG2ERP z?oJGMCx*Kd`!C#y{b^yL3kjfFRkK4>`}bO{^4G=AlVt?*{LacKrgJrFHB zLD6By);_>wyIHw>(j3D7S@XDMSox*qC0`|`(c>-jv^;5}~)LWJUG=f9$y00f{wCU->9*OtR{t-+8m_2AZVk&DsbU>@Y9~@^8CE6 z*hRze{sN=GHdB)v6Z>$cL3BR){YseyIHP}HYZF{@l+6;3j&@y{Z`~rffpYAQ9w9~B z2Lc}rkG!LYbGyOyoaI(QTI%EM$o!o>(c7(0fZy8zzJgjk#T8$*(y=jnhi271>qtG& z1e>=+gB{=MH$Xk0*>-4WNuLiZD4Z02v(?_XYmsQeFne2NyCYKCGPw!!`M$$Q8!4G8 z8Pmcj$x>mLnflrvw|Bo7ay#~EsBflZ3?j_lTupudxytJFSy8qfXnU2keSXDmmE%y! zND0Me=6LCn<(senJFT|)f34N#zWje(tIf1y5rpHlTKsz$exEi9pV#8^T6|uM&uc?1 zE*u#c`D9#3cOl(s)Z?krW%`$-PUbalFKJkEs+{?h#7~E|8_;G+6t9~SSqTpcc(!`62=QAwe^3I;J7Pa0B9WBundc)YFk)Its3GCA*M>g3^Wkn0|PVp`Dwpw-D#EpK` zXVG)}^c#t7!cjo09qw&+J-;62IzN3qn6zE`@%kT}Wkz=_o_>C`X`6CA)(E&4>x^7n z^WWqBazF7YB8m-gX<1BEw4%Clg0d0>Ddrw0M}hS06(W_LOl|{gDxa*ur$o}62ItfZAgIE0(Y$E01!HhuKSTOPhSd4}7hDGWA}XLr7TiDZ zMy?>BsLaes`N`nmCOYWoqW16M8Ise?WExAV7O$1!=25 z(w)8s*t}McbJas6X6RFQe)?9K^=p^@$yu+ha&paQ50Gk;{G|DZTI~tttwt+0o2cQQ zDYTqJzPGdWyWyP)YbR|a4rl{sZy<|vW8-Y!B4frGr=fLHLl&7@EVYMU3z`~p%HEEj z>xQg~y$9#My>=MdkhaXRU|IP2YvC5~wE(OJOYUp6=a87j0%qKvmqCA2tK*M@g&)&i z|KT3=HT=DMAOq}q{WRybx9oT=Vt>!;H9L9#PkUYl&YO36e(ZUX*I}fxeOFSeNftV2 znsG7hJ6ufL1;n)4KVn*-1r`B6s>|WRa{bRS?OCJ4m{t~g5f{^Dqi85_F>N&v(~jU) zYC~K(tYA0Vep#tK{ynC>i;Zck#Gn^}m{tHA(^5j5LDaaI7Jd-ZK0wf5lF3dU#`E;Lh-u+290><2wH823yNq3_4Fh7@Hh-2X7|EJ{4iM93y1YX}L79gu zwUyYFS_Ik=#sgQT^I;>z#k6qP=lz(r&9(OrUxh^6N-dXP8aim1A^7jLT6|24k7@BS zEk35j$F%sE_TPwU3rc#5&40@-k-618S~{ZytkgDX-ik+*&IbZVxO1ATmEdyBBMT>~ z?sq%e;pIkF)e;pP*`V8!xS1^Q=mXzfIq&`ABD_D$o>?B=} zB9EvwREcGR^EN}n4f`u@3B39wL`98{9t(u!u;{XaeVa7clwZ9o)fXU=X#8E8e=ju4 zbc)%Xkz9YuIwl7;DJbdC`iNvTi2d`p*mz{Kx%rys@CidQx@{zwGB@UwlA-L^$aV*5 zWE|^f!|VQAZ6PG<@$9j)zghHs7ACQS%!4Mb>TP%UZ)ST-I2k|ozS@;`dLu=d)#OP< zaeGR=T{>5pi4vIMR&KdShDn-<&R1alKr}!3h10xh$5ds%mn%HbXs1XGi&|Cq<~*anjxvFZ0tlV0U)_$Gxj--eknM?ZG~gRt z4&H7ZU9j;d+MRyHzulEqZkJ{#HCqvMaCuAponQA?YX5w-@E`mdh4_1ZCHR$JEgi2x_VLwgkDVO#6Tiwi zZ`_@6lD{iJ%iNQBl8d}<6X4ecEWgf?t>|Ff9@k3*85hrH&|Iqfq-QvZi|c6Imv3CeuF>M~Rm9W(iARLDQy(d< z3wDhbi?7Q7z7n`_a30{RA$E-xi?4y$HClg`>o5`<|5WT6txGHz3KBTPR~an6R)8IC zQ(Tloz1duGCkq6yPy6_K*R}VouL2hiUlV=bfrI|>D-4gXczngvF5xKRd-cRBRljzfP!m(RY-Koom;>}{hf2q-h*)0S*s$Iz8FZ5Ff? z0V7{8J^|TK1Nge5bp(g6mhj7^IDFlk6!5ryLYKzdyNV)c$sOrAb}|DEVmNQ*rNk1) z&;+R#&R+>6g|V#wOJI^omO<_TdJJ@`)xzdk{_Q2YiaZXDQyMFw2{GDS><%@L%dI`z z6ZI}rsWz#d4-RHO0wl5GO$K|}dyy~Vr-W@BT6WEZA|~hcg^^n=mPu=2#vlXlR}L*u zY24Kwd}(hS?081j{R`rqQ~SEcuiL%TT9~>Y3h7MBxAV2z9ep4P-0bG(daJO`X{|l2sT|tKGAuRa z6f0@SEnmxd0WxFDf%asw31;QRE-*2d^gRg@P4q7_vk31W7?fKtkW|m_HK-pXR}(8R zQChTZdfG8UVwvq2yCi^$9{Tp$z7nyJdN^<}8E6g{Qy*Ca7JbS0Ed5fy4xl$}E0Da4 z3OSM&%gzGhT{qY)0)zm3m6rI#T5j!IFfhi*y-`07T9emOyGX#I<3X9a_GBk=QV?l} zcpzmNOdmT#CkCwx+p|s*W1YS2eU<3_YUSI7fhajihcV$a$Vtu74aXw|8N@ie}0YjF^Xm< z8NWu0uY%#LV0g6vuNL6d0=!!Azf}wN^Vpw(){5;`3b5EE#qU@($A+#4fHw9|KpQ7P zhN&dm<9BV;)7rTTq1?99b!UeSlX)X5$y+Vq^oKy32@yD1E+*)x5;SZYj@ zKf0&Remy5};gaB`lHLY6tNeobdE?v6{itsHLckob4*uGaw3%nh{fs)d{!CBvX>e(a zl!a{~6Y64pf$v7FjvA`3wLc%7+NDvx7-PX-JdmMbrYVyqEr%;&srLtAmf`JMCZ(W4rJ4&9k1^cF8; zj3g>Ie6_NHbHMJwnv-<~cyLAu1s$k!{-yuL0QA2kO2_DtIJF>H88m?k%!k*H9nUcf z{HyC*2IuRuV|5kJr6N8m=` zHT&Y)Np`YxDW>wZ+C*$VglDxz%Gl-hGW;0Znn@ahYv-@i9`i6elFcT_aN;tRBM(^x z7Y~Ckh3ON&7am7;*m{XEk96EO?appthi5r(LtPx$p|0`oLtP_qR#);T93)E!nw38d zby2$!9S(IRfN?`z%TU$?ICgk;-4Ph->cN^ z>Jk8kx-#Jt2%PjHhq~Has2V)U$%whW4|U0SzEOc6v4XR6 z;&!@1JWDw_u|r*HKM!@Sy8%O8DBMuj6Eff5dmIMQP8`>OMq zSEUy))b$Y<>f*o-brmWA)@Izhrp)UMT7k;SgUs*Kx zJB)1{AHwvBm8~7M*wOqsm;DK2M~EeXo)??4)6(rxi3yZ1U3#VyKMO8vrJ~Go;o^-W z@yAr1r405}ju|o#`+5LWiOzyk`1CRv=1kgh8^Wj?J0O$0Xy_Syb+rF!dQ5uYB3E`{a5^wxiKXq2HCjJjPxL)u zwD)^)dpH|1oKwn}UH)ooY|zSEnn2^bz^-iKl(566fe@kbtxoPcBJXrAk11CacNTQ# zCR(K#KJ|Xm9e3U)UPxn1V=k)aqUdIpQrWyZJ##Prh zxG-$r-9fSLe>`?dBX}F-E^VLTT{eC{{LnC%dm1eHDZy#eOO|y(pWboMf6?~p@Zcib zn`7W3Q#V`{)1H$j28{*Q#MB)avfS6U>K|z4Q^}~w=&g8y3#QioYIt^t+ac4H;_MU+ ze+rzGle~^5g6eIVm&Z;uH*uXMI6{4QljbHt6-mu{1N$o~588+MT)LTr zRJD5qFZqdwsZvzxP8b=uPstxabC4gc79~^-W;o#$ogsBHXqe_?KrM+VZ=J%8d(Oe8 zZ+AXu69JNJD^8M4#!0d$z%qdUkYwrhEdv=B7M(v!vgdscC0RWvFU~T^MbS{8E7)ldIOpP$1jqsFkl%};w*zM&oGR~TW;qG zQd(cYGN{B_2HSvT5bwfKbzm7-0hR$ZcFQ0fund;{Sw>+bbOCvQWzgo5Oz#M4JG2Z& zu$Dn1J_IF4bC!<^~<3D2Sb*`Ap~z3;4K5ZWq`K~ z@RkAIGWho_gLEEWiHLp60CmZC?G+ej8T5a*4DQq&e<41Cu2_>ovV_Qt9AO4R**nWD z#4#fzl0B8j&m-aNiaNydh2;b!na-gN!``(C)j(Y6Stm3~tpceXy^!V09-yn30;!__ zBmy19(bN56HLHUHCFTKom@g5o8gB*t8F?od=!zOn1N&T@0de&FjO3T?S6`Y9jDOvW zKs;*Yhi1l165Pf#lA2q2v##n0_&;gX4gxF#LS%nA^sFnNGt>T;>iduJzQqy}`uoQLfER2Sxy5q-5e z=S4G^%jWNim2@JdMSQ~+Qnk@n`wHUh)AKIR>sa*n4<>D7_%A${)r#()rVO@dXG-Yp z_UaqCgAS;WS~5qe4ULJ47U?_9Q*%cTZSjdYO#F^=JqbD;Rxeh%)M9EYHZa=iC7wIJ zYw0DgKK3~YQ|Af_(|jp(noYT9bYC(Tdwd3OIAIU6}-1X4FJn3iYl9;aX zO@_nognP+Xktn{UH{Pt{GT@T(tX=y;l*Zx_`d?NHNPzDI>b+$jWo#%5sb?-()3{P<45T_>QO$$;yGJ>U$C;Tmn$Pu~fDl+Gm({QRA; z1bin9sd!TKpZZ8bMB&(Ddh_K!rC1A7JL7^i|wWcjdHVDK>n(GD(=<=RhVM{HRI zUHq2eZ1+fcGRfa(x=^Hel9CZ~eotgMJY&V+NAAJd32}+6r6(t$PZ5yFrv9ABc48CR zE?gq}c*aMe(4imY#KDP8WN%`xz_5wz8Y!**!4()bk^O+Z0>dVI z@rf)xk;Nyn_(T?;$o`9otly=-WY{^)t-kQGCnx!TOUDd--3C*xv;M-ctwKN|i>W%Q zDc}xVfgMGmEA}V^X4k)lh--`20O70;Ij;_3Fr@a}X=Qh1#nF?g5p}2R1@U2i?7wDpU2p=al~sv7Qy0@n$OW5=hTAZDso!n#WI z6pb93W)`f2nOF5Lszid69+fxcc&)!}|7ghg&4JT(QRv+)udytcsoeok2#)T~GO_n{ zCY;|$5dp3f9u;>A05`WfEn~k`K)V9#HxlhwjWv~_tsl%c{LLv$A6Go-tZU87kSa61 zE5_V~j1x&y=AC=`wYRH5+CDSSY<`(1s<%DgzVN-2*~xIV+Wgl10^fy8y>}Woi~?^a zg|(PLGt>qx>%rv(P8QBfCH>#>!4-siW`@VrE@H0}CR-L=kC%?L-Pue>n3?+}ejO03 zhxk8GTJ{pU`~3>cLAi8@8w~kG1bo|~nI`#F9GW%uOni|nW1poV4+-{fZciY@TIXlUJ!USsx_7zS0xw&}yqIxj5m*we*JJMEqCZpgD zM^@nM2{@*u_To&yN(Om9Bdsm=4Qv>PwAwzt_n$x~!Ok32Sfo`3khTqrw7aCV7W+sm zgM9eIx0Ux}9 zorzF-<0H(DL)v5>$Mq-wv@wfET0GL?krt1%c%;Q6?Z1e$*(F?mzg=*fThr$xx_pab z*|`q*yk)?~vcPr$h;;oVq>4Id*_Bx_j`TLBnmlP4LcpTELm8p5>(p>cVnAohnSt(f zeWss?qV}m026A5W6@Nh%y_3j@`srIMfs8OV+VDc$8`zqoF6)wbjfAwdhl%O4bIicF zfqk}HB=6(}?xIg*NmpKT?+kG|79up`mV9OBL&QxZn@&lu?S*E*3@#V+Rz3F;j4qfr zxQb+Kx@(>tIu|g#7E;7%@L1?gD#+*pJrrqqdOeoB%t%&@sXh4dYQnjNX}&s#&+_%_ zK_X7$Ag!yPBeAy$gR{R?NVNE!N4{aCop}%}k9;MUm#PmkdD^eqUEsWtY&B?j9~se6 zk-qM4pEmc9zNGseFvDeIHmAuR-8<@Pm*TXmtF5Beqj1JPhq1-P{91qS@aASd>!6vn zcmKe&mu<1$g5UwtrY4k`TFR^SqeVB1lgpOwg{uvYlRzqar7WGlUW^-*7?zoVD#K7} z16y+Wxx2d-Zt^ihbo_R86q=TPVD<5Z?{8quql{FW^-|7Ojs+}ZRPyL1eKs3c)hNCB?v2K@G2$zt>&`~_1~4h zz+!zznEd&h^Z$o;+iQ*P6s8=4!I0}mL1edhg5bjcuq*q2{@oUChkv&v&?Cps%Hn5b z@w2j|`0f|J`-Sg*{de83Y?BK=^K8t2Y;lz}4Vn&$RS*mN2k*A6 zX^XZ(YF#rxL~B@PVTu0Q`z_ACu>bOcX{h}EyRD9?V@^rkFbSk=L(0loWnh>-Ts%A6 z$->`aU?^&X_upR_ z-1pb_>#wEVJ(>OQF9qkbMn8RjLAH8ibud4De~qFW&R1s~W6sUs`h?SE6LGq12cXN! z{Lp2o_H|hT7Z%Px>#}DQ4s}^BC=X7T%|y{0$LX?_fG!KzsemqP>B?~rb|do_U6%a2 zE-Qf5Wh>~RJb*4sjn!pOJaGms<3_o(4|G|TWXG&{GTK93c8}CmBLyxa^Fx6pv%Isy6h&P%WAuD zxE|=TW`Hi+h8^V!1$5a=f0hIoNr!(Hpv#81B%+|8kV9QI9;?gNp&X%PaOE{`wo%+D zmo}_zUzg2v?e*|gaL4JgM1HBLf9ifo;B{GiE{o4)@wqHMm&NC@|7I?GobT^B)_;4j z7{{?0|G=^N{BSW4DWUhRQff|%puHxYEvPu?RC%VK5NJP_m0R&w85m*I60g6KZ{=a7 zI7VB525~q8_Xq*Qbm)kNS&=I*mDKfEWf>3=3R$6o0}~gx84&mLtzEM|PF_mnZhAUp z9ZnT6&LMf0Qt!OYURVe3lyD8CMbGO>MB0FXXiZU*UC>(iVCkf!H@5t>7JY$t1~lG_ zv>g(9L$PakgP*DW!E2iY&V`99q}%O5_CkqtvBr`Qo+6@y)|1UxzWjdaX-8sQ);lfX z**kN+UEW@HiTW+GE6u8%x%GKzYOy8{&`h0h1Cb=K)ck3BNkqz>4gcE|^ID-#d--0k zXC*e9XlY#St*y_`$_q4AmQ?F%OIj%iXI*4|)7RfG2Zq4*%U@lKo2fZz=FgS;hX(4w zWflu2P-Opb776BK+V>5E(v4jU2U5@=1sGF#PSeEaTFhASX-J*mkcHdrci|HOM;rF& z@-3ak)PP3=Oyj*FtFUX11MPeTp6_BULMsOJyiTdMpRw(sxd`hM1^j}#menx8r#(>t z`TT;-*18FXPO-@Tn|5mBpvBF8EXy zpUVE1sjQ^LU()Olx)oi%a5)shd1J_;ioSv%PSy$Wvt{7Dc4!&QYm=)*RBciSz)9y* z`HUeoU$>XMC!0o>K|m@icf^xC2AG(A0;IB89$F{#u&Hc>PgbCyV%)AYFfkivA|M; zUgRSne;pS`n22UZHG!u2Q4&oSa%-VW1Cwh$MV!yEx|8 zC$IHHM%HNo@cZ_cLpDk7^F~S*P(?uiTlOU7yIM3tW^h&)BS-%lEUIX(;H zR-z`mjV*trD3^UvL2h@K>}_NQm(3e4g@Sr2Nod!6=pR2KmLkej33ZIH@i{BYnV2b8N?&m&lIE=@K!&);*gL?+m!JU-sQuL7Y2ViF0QwvF_}`cXt+k z;LdI#Xukf*oy~NkICN)I>D|pjNFRqdvR=ozv#+r3>?F>e|NJI1Q8j|o#o$mXJzbIS6uuu58YWyIHQpl9U1ZE@9yk~XVZH$ z{0NOJdlk-|74YJ$!n(5sKfAN9utw$VpVv~~e zK)zzj`{PmUbEbm6uGa=Y9W2mT71h@rS1*#{bZS<`(4i~0)h-h(WqObPYkOqN zeM*{>88n=Es4u;sbh>Ow4=o9@em5sW+`0(++TXt;S6F_k+|r7BV3cBdv*5a-p$#H> zlpuWAppnsE^JUIpL3u&R9zW%Zd-%WvtqbH67v-XF6J!7*T5$OLb+n+c>L%MNxTJqt zihJwRy&>x``oWo#;36+hKrlGjGSw~I*Xqh=8mAKbr8Xbh?dfd$mYa2!Uj-VZy0<}j z`wQf&c44}RSLRsgoA)kpZy*& zwW)w&@J`kLb=N={MYEZVcMb4=3HZMR{9gjznZ>8G_;mKaOlOY|ttjYH?*G>gZT>z6 z8uL_O>AO9={Q+GzA(7#PZqnSjdaq)KVwq*fM3eA%MCE8C5$$Q zJ`oj;Cv}<@uTVwuKNpT=51bKIDQ*i$%1zuYHNFnsZVM;LeoH4cs$c^B93z*P{D|U< zGJjv!A6|Ly^aE$_q9L6*n>}$Vm)UOk_jOCu+oc)rn&=KQ^$4G~&kAHUeOANpS>dH^ z#yhF;2g?0@s5^G~4jN`=;OPEg^NsvER<_}{A~$lw~8l^;r6)rf{!Au4Xs2WB_}589cmF}YnJGN=`1fuo72rO z($fo*-NI3bN9Hz`bFdj1qzE!$&-T6Y;Fm}2qU{H5F9vQ%hmEv#XgF+?+uOSD()_Z= zan?Cit9xGBq5Y*Csk};5^wB6b%v1lPv^1Ss9!syA0=Ocf29+iziF?-ILA4 zp4S$HJ8%G=YzX$embk|WWQp@+M_gG}NWYvVkw?)iCX*dI^kg@^;g5LWGL=8hYn6N) z_PD7DFf^BNp6q=FT1P;W)y8VFS>MlVc>qtA0O!e`^7Iw=cx~v^LrUuec(MdoPj(UT zWJjDi2oF42eZZ5wi}hsv0Z&%IpM?`f^1%N+;K@?EM5{nS)Q6rd2iB7xjk~ z^dR-Li!TH9PmHmG0V6ggD|q4fGft|=a+!K!f3*P3Q~Z&QQ+8KgJs240aw+`uINjn! zj^f0cVh`u3DQmARUW2oyMa^f==j=sv1UTm=&ML<7 zi=AzL%cdMHA@${Y!FF4QLEZ-uRug3uQ|Ft_m3MX&#%J51-M%FDiJq~~bwm4l(&a=y z8t<6sH%0YUZJv7LO=0%j+psI&-abDs(8PRgyBpXq2ohplFcFhPJiKn=VW1XmL)tso zvuK~^FSVqHlI%rm<`*@US(sEr592aew&M@`ONQ6?3M$4~&8_+&sPR_2+A1k4ziaAa z^!#}{qPJV00AF7u2!LIw(w9AiO2;UJ1#5-kR%tTSClk(ZHLCJ0d}Foupec4}UnF0O zTXUQeKtS5m_{PEk_f=jV+8)-b7kKToh$K75GfpGnH~a%%$oY$!v&!w9O*AI7P+~;y z59HX7+sGnH`*`lbFK@Ewfl$1+A*R8;;;oD2GdF+LHNY+614lwqdh^QsNNCGix4S=8?Kp3GTmGx z?mClNRGuSX;-g$yt`xTgU*3fcb46pyFPgTM2XU}_@rN8sz?Hq)0f^=JQT764fe83f z-4SON!atY2ICu`rUPRFIIEYP0(U9XHwj6-icpSvub>$F*-3a*wVoAS4EH$?5Rfcvr z4?yfP7GjTyJA>MA5G!*~_PU3lSx+XTK7`nvX}FpXT!!OE+3UfK12GRZ35G@x2eD5W zXp3C|imm*m?8OH_tTql}?L31cJYo<|L!`9s0K{rzA$A>rSQ!@%odbw90U$OL3$ZT% zhz;>)afOlO_-6nRYw40u00mhdLM$8$u{8ybkQo={4sW(99K_1NTK6F~#I^UCuYw*9 zV#j^o7yQ$#EF-?`g%=6%A^~0`z>5TUk>Fnx34ZxTAYU#As#?A^(COP+>-pgz8yPoe zGyt*N=n5NgWrw-j+8aY)5D_1Cv_PBtJfw=)+!8VZjLGhxs~M&&;49IiltdWN)<&k! zM#<=k2c(vbPtc9?qc-`Qxhmec41eW-u@k9~YK;$8e%C*aQw}rG2`^^3xUf9qG+~gs zDSE~CD9bpRP*LN$onSzMsn*#`TQw}@)-EoJI^Iv7G|9JKi3sPN5~Ooz{<?Pn3L0UPSc~$@F+LKn7O`FIn^=Yy3$Trv3wfH=BBN_hfPwK5% ziGv{Hm7d-PZ-d;hORRCXk4tof+!20zGi_FWSQYv5wD7w}X2!CiS35JL^WF=xnmk2r zcSIZ5C2J_fNeTUd^wYGs*^Mkl{&uAWZ>_qX|fJ({5XRKULkYu7M;`G&c!tsdQQPt*GK8(8gy zYnV?uL0`T@>;;Pecjht1a7dfyp3U1(=9!xXnA$LD+c)fkDi0k-T1m-N$(Yinh3ExS z!s9kr3u31DQQN?-tbIoKAVN<}vh#3+s}!1(bqB2nW?e8WuqXnoJUeYc z{latph{(0HC$Rt{2c2I)m=w z&b}%Sfc61`W+$19;Sgwvja>D}TxH^a0Iix4^aKxeJtc-l0!Osk479!g(8~OB_9Y4c z?FbHNH$1}`JpYh)o+7372Y_}23$!}`&{n!|j2-~34FI$P*t4%l0BETLSO}d+gaQfx zpj~!(FXjkZJ_K5VKmcf)#9(kExbg!Zw(GdFuS!_=KG0IT^-lOIjN^b-&o4_X_#by= z@u@66mBpvB_*533%HmVme=n8&Nns?VN77;m>NUn(euhK{LMOqh7lF4lq)XRc;hJi3v15u zt@z5u=qd{LRIPeu`s>7KF}lyz33q3>+JLkeZ(}%5Y6^O*nd)+?L^Q~i3%m@4JzGB+ z*~lP`1Xj3)&pnX%v^i-N5DS|mP%COuFj@&_rF|ygt@_Cz9k{OT*qP)jV4!=DWF4IW zGL*>ZZMFy!dNo%%y%tc!sZS#GCK5DrmcFmS;m%s5$j2Gk zZIWh7jU~aw$bdN8l$9Oh8#bz)9CCRXd}&{nXL>sm(``SBXgrriF|`*s+op3lJ-?5P z>X_IPl0Bj{_wZ|9Pqv&ru)<|(;Mmt2?HNIBh3AS7B>O(+Zxke# zEj$Z%?435ZFHSv_3jzyj0_Uv!qlb!zHheh&p!JU!{DY{1QQf1sr6AP6 zq?kp4&dtZUWI#ZR_7HDo6~`>)!vPA@CUS0!voTt;V@pyM6gEs z0C~jmqgV1ioC~-bB1UO*=FljBO>t*9^hy($5eC-Lj}1osRo_e5@y$dPiD*cKd};g< zHjlF>$qzM$w$YVeKaXYqfD$OYO$7 z0=sed7p$fGj>Q zgk-Q-iv+_wQsBy=K5VWytR-;j+sE3wZoOyy6u8`&+ldtt{qn&7)c5Me=d}2o7N67N zb6R{(i_dBQ#hms}X9?7gN~w$9I`jgv!CO?>L?j@}rfTj48B!{c0a&XDeAq%LXWIE) z=;yUocpz0@%`$0Ah;_(rGtd!;W_pS7Y7>WY*RW6ux=QV6(L@*4%n$-ttEjsIeAqIZ zTS3^=b+$Dl>P0k{JgYp$S(4G!%T5X`+Pu1qdJzr0(n$XoAl-9967?6Hv%LaKpIzW` z{q&em;B^j2n@jI4LRxysGnH4Li?o+hcIwKW-?fiZBH@KCD)v`m$`q%#Es9#ek8R?L z6b;1@ku5gT$Vldw2B4-;48YUAhp%zYVh*(vT6^Sa^8-PPy8`DMFi z#@^8lSxLv9atZhMtw;6DNEZ}#n3+4(L=SJ(qsw_`Y6Ue{T(ov-Nx)*Y8JDf2QY9zE z3X1CG&7ZtDb@_%j>u616nRP@#%ox9zRr5LNwYQgcXL!Af+e0;<=>gusHJo>lo8%Zf zBZP9Ov?{mBQj3|_lmFU#EzYLM-ZJK>uTrD8vt?%gVBejLt6ia`U`j*Kf+@e_(AJ{h z&-$$Rka)Aheom{lw;CP{nmW{HQ@|#2fARlSHvix2vs*ZQcJKSp?8^vf`x(cysW_(X2bi|<2h-9Y2(&IN34dnViw%cNn+O%aF>N7= zh7QNH4OoE|$F$3?9PO|h0>3aV&3C5F#4;@+94Y`XZ3vcWPxd&2EOAUbauC(3a>Ib3 zS*Am#CGm09=W&&({K2#uKF~%=9%^a~jU=u?FogOe>BRXmLz?$}3XbGs)0- zhLkoCE6`$@b`LAix^NI4Fs&U{pv5w6G*+MuVBvHkc@R*96=>n9DvluPL#E}xGHr_r z%*_X`Y~#bGgJaqeSkHk#>()!`r$B^bT6e!3m4EvGD#9}@o@wz+i)UIq)8d)--(=cf z4->TSl~P|w|1;CR{DoN60Cb5!%$6IU+d1VIDCSrr;>v*3r>S&T1@54*0Qfk z05NT_d>yZ7mOoaY^@h}s_6m5TqID>i#H;n+X3CCfkJF7a(24L_y9UQRJ4Y4Kc&FUT zFY$yf&jW|XY2zzlX|PFd<)S9d)}`QuXdO;5j|OcvtG(A9AE#(@it0?9*IvBXF%U0_ zY*D{s6ITT?ye#j4)R4}OWOOqCA$r@u-D?Q|(@Kk7Z3`~H5`S)2|F??5R<}jkB(5_3 zJKuUc?kuh)(JdI=m+k9(MUwZDd(e3G1eDX$VEx_X$1i7cwmb6jSJGr-=NOitU16_9 z0_7J3l{%QZ(&F;oc{`at8-LncO&R>gVZrpd3Ud!Cf5SmDE#yf!Q{S+`X7)QJQ_DAf z1MlU)*>$XD)?(3vqm;oG?YNb$fkig4*x}eE`z5vEj{5xKHxx@YR0DlSl?yV)4pzEq z(G~rymS%=(sHz}zt%#;ofYtztQ4CVCCz7s8Mf*qi#Cm>%Sovy@`_4G;X^{%m^yL=? z>SMxM1uZ76GBti5jcBgUlW|Gggd<8(^4?p1`jnQwz;=UzH?%VlWXEU`eUXZIn}GB9 z^+bu?xtoZsj`!)d+3e~gfFDQu)& z8sbmyc=3M~)z1H~qgo~jiT}r=+NbhZti?yQnekQbWONtR8!{7Wys5c+iWK z?THGZ7d1ZRzVArBoA`U|?|C1(QlI2JAN-V;iptQg@ngN6|FJj6sN;i1Q+`^%59q{0 z8J?*scVUaQFN2Z-$TvkKj|6)j`VtP;_;kq~QO~?X=E_ELE>4lr^z1Rxy3&R-NyO2g z;$^ioV42OwUC;ITXtwlSFm`ufL-?r+1TFLz+Dw}#mK0bFmbx5gzf)ScGTsnMN0nY$ zw1&r8Jl5i|7LT=fto=8!_PC~*Q}~mY5$;e_)6ixyy6mNlGISV-YSYEaaZznQ5Y@^9 zn+BOKbwncsOW?}ir7T>JnT~9qVW2x@CuRs(7#!ja`0Rg|ZzFLafg7DXh~nwdC@$rvV|w$lJ4Ph zyFwQ!Q+>n!fo5m>5Bidv?(rh0Kh|%Cwx=yvH#rWi-YG~*VAVHViXJ|*xsmSr{Xd}$ z8N1{;9^F6AR#?W_YUy`vpq~zbsjD(u_`W#Hl5TOADCX0i=vHH1skM+{%=jr3roL|1 zI?7ub7iMXVkXUXvQs6;^nn-PjW~4D@ZkKt(L0su zJR$ENUDoNmRcaNHh^d#{!zs1rkeJ3CW}J3l&>!^|KVZP(?0;wnO#h%A$N<{GPu9WS zvg5UgeeK{iJ9+<4+JS-d=3Sm2+5veTMk?EPCAFGlp@XIwm(ae$CA3{YLaY5Fp{3bR zXgOS1uKziqJ!^EB(8@wD;u6|y6b%I~p{)iITEJZeuE0WEIjmqe+J0$=9si!t-o+-g zRbtSKKtd~kO=u}0&LC=BLJL1gXz!zFFv(;m4-;Af9#^dfxQzCXgjR(IO2$Kd3_~Nr zKwJ62l31OA))Po*34TdvuK)>cJWi&~^9=3rh$nR(Bc=5Q654pIOp5^$TDS{G!huX{ z0VK4`*mhVLkkGdIvsA%I*8FpTgf`RV9U2PCJd|lGvF$Jf+7ZSBSEln}Bg7@NaM7BAD{Wm>#Ui@+ZOpd`BT@&(HzrE<}y-`NCT%LcGrv;YSA?N=O}=R-KWdp|vu7TWXc_-MeAquQdp zdF6H0fWg(8tro)|n`kl9X;5&{ZAbeYKcc~D0s8GGjq}2B6lF%gQ9+SVz&e=TnWn$6 z-EJ3W8%CvMtRx@V5xr>}dVP2Hx7$n|;PX_G%(_#GiG9cn1KW?RQge4un9c%wyYvSd zb9d3jogYYq)9bhlwU(H=5wABgQtm#t~$DZL< z(N}e4W=7!t?rBl`LWhM*y>}Woi~?___NJMcWH9%lAKMof#adXPm)nu&s)5l50KUp|i`CG&c%OfC&jWSyov6xvU6s9AV4@G*q zWx89Ksm43bCI(qLBSI?K9%{axVgvhfAFvLJ_BQO54;E)r>=G2N!a5MHx)f8hCd=Lt*S7ia(4I{44U*)#vJIQxIzI#5B;>?Px^1N`JHesUH+Ig6j1 z#ZS)SCujfL$ytDDRiJ;*v{T^~1mzhpA{Om$+aGQdlVrNqBn}g!z*P}OneL;KBjnc@ zq-gU6963RxXCVO7QfB$c17$K>NG;Eu74O@MadfGeI!*&Ce;vi~Q_+R>BCl6mwLJ8g z=EOmKi&lOv0lpl^BWuN^S3}zMo}F`#Xi&1x_D7~9;_ ztrJeg&VbmTwi=ukep9kObyM={XRmtUMCOHOx4}^zzi-;6u$N7*jBIs;P6@shaWa0O z!qh2WzLu&Q_*^BUuRA1ZBgKx@MBu@8_n5>+x|PNkZDbVc#%a5Z7lV5G+|ivc&)esM z1OCus1}*{e?enwB7Sy%+`v>{#3zK)vtV$yL%Wq<5yO_=1Fb^z=7G#FEn6gNg^kzES zm)V?HP`uqg+!=ICgY?SslO4vPwQh8USlRMpvC{6z^Wf5Rah9;@{xK?c`^tpRx2@~n zj+5Jf>-H9$tX?klBX$iSwS>~-JsX;vQGb7(aQFgtq(rS|>#yS3|9k;k!~FdV7y|nO_TvN$wzuT{ zdH)4$mFwQmFJR40Y{zPUdI6)ZkQe22e$*51#F_;YSU>V!26qA`gFOM8{C)yPaBu>) zf}mOZ(+QY>+tI@lu*7gT>>UpMfj262jpjg6EFhU+i*AF1ndfM0@enfLJ$$)PQbYLPr%?dtX3|50*5DH z%PurCp2x|E&wW1u)AmdN!;idxvtP%4fK|w6dU9UJo`7Zid;)e7dji&rI{|yjD0bVq~iw6I)Xkcgj<2>Pr|4X9`*mUX;`XzVydJDhff}_^%wpiKDDJti0slx=` z^1!&)Pv;3W4kU`&+e{2}C(|=w{4szNOE1N`Y3anxJGP|>p`^Z(<;Tpcvlm8NoIf2%Dp4EbcBxx5$NQEDJ`t*GgtxlqL9NByggkxj;rg`#?S zr`V@^Tdjt2qK`@$g1$wz*~zWP<}@4LB#ml!KaY%Hy+0)vOxk*n#5Rew%=nI&YR8*R z+n3j+p3ACTML5X0g>Vms{4T%!`Tcpj7y1+vVu+`mIlyCrU74O5JJV;+*ST+$S=ki5 znRy zX!s!>`=bz;j~JY{Rw?OOOA;$sSTJ*T?;oBZft0N{nUU1z?Eff4TDV1*jD8NXuU(Q_ zah8l3n{Kr$b}zMJD^R;wcGi%0??#+}k0A^-DpycmS7se{95zf}0IB=7YyBD#Gez=k zSVx{AA(lRH^yoE-k_YK4uYnUV9{KIIu=K^CnjRDtf1x@%W{vR1X*W5cqHcG}l}OTo zIU-WY<~sAWXcvtcCHl>WSH)Z1YU|xqr;7&?`K)qnVrFh-6g9Q5*=H{eF3BVE9~ROH z&>wsD{LyU&yVDjdQv&;<0k^WlC&}{FY$t-gBTWAMwIw3)RDZSICEe&wVag#G47q+3 zM0SfO2rm4>;*XOzMhL09Nnbup(bi<+B&3GJvx9k#kcl!R$?s*tI9|nPv(mUzK=wFD zLSWZ1&I)B04P=Cv#jnv8k>28=&L?kx)@ln(lrAK|cY@-z&x&U1T#%zZw&wVZZfgJ3 zb_K_?a2(IVu{=Bboo8hZcylGTDp-R@@z5+$Fp}GSqX8cwhys93w+2v$RuYW zqy5B9EbueWj{M+R9)M?MU`eR|ue~#WhkD`vFo!IWu~ZTx658yt4|OVZvb0im*^hl6 zV{DZfB9iQDDH2&@>?sV{wHVvj&5(U3+xIgg)w7**p65Ex^TYXm{)_v1U-$cUlXzAN z;8|wB&$U$4WS%{-&9j$WxpIB(IqdMPsPDd`C)ON<7 z*N?=r`9JdPH4@JPfbG$$V_+G0Nd_^b?alL;#Ix!E&*qSLc8!+RcAIB;NKxB7fME!PqcbMfFzX6 zv(M-}e_J#lrENi;1$h?aS&(Nzo&|aKzsR$L3OhWjA-2u47rECz16#EH+3E6d(@lTk$5)VSTaAR!A2`T?n47pi~4$n~2bUd+&`Yql#)FYvOpu?H@*H2JwHlVj(6IO~Z^LgZlsQ_h~( zDCzu>J(CvGvE8%E?nQm-)1J$vxXQ1WS!%hy!APlML)auV&a;oG0WW4Z7)SHP_r)&q zoIzY@zSE-H#~v#4dh^VtW1vL*V4dAcP`LiI4_mhhYTwPa!!8{xz2SWV*)sL%<<95~ zuBt+B*@}ybbMa|q#1q*|CYL3)A-1ac<9TnphnSwvn^?I@eMP&cR2#%A0-<{HB#2cW zl1`JW#wFUnWJnm_jahET_qrCpPMC6p$ovSgGyudhZ+;Cbz_FYavpW#`s`OO!-^RdH zwl@y`5n`R3eiLFvze6mUVVAw>0EXQJAohR~Ywiya`?PHQF~yG%I}Jc=ueSf5E?n49 z)y%GR3Nph|kQjF08^c!mLjCA(@X$=wvP}OS!_N3o?l5eUHkn~t5l}z!P4=TFz_7px z6kyoBbgXX$sgM51utwh*mIq+iO3y@X62l4u4Ew-$u$F3_oi##~if@}?TU{{h4EJVy zxi8Zm&7n`v@!9j-pO%iA_Z!3V_$NsF{&d;*5G5I59sGGI1BwBL&G?aFKi&oy_7j<5 zwMGL}i#)nr|Vc1%LVR?`x?&ytWN#rPtJegsuaKRh{w5iu=4n(U*1W4{9Gi*Wt;&ajO1rb7Y2v#MH4SiaiVpPUI7jt@_1#4xMt+?5KTF z{nb?Q$S|W}A>B?B#U=4Or6yBA0pVr0c_Eto0+XYW!`(`&6Uhng^_Yo=Ugg^@NW4LB-j34ZsYR{yl z2kZjwo`F>wkJp=Nc!!5k@jblKt96$voSc(-MugHZ*^DRho}3@e;VVlkWn-F+YEU37 zEqS#1G0i;6U&pU2mjFVp6U~(oKdJ3;t^{3Z&y@L>HV@(1d&I8scZo&*G5AGam2FK{ zD$6;u6gt$?F4s7+>0AQAPo0$w3JdW_lliY_W} z=Z1>q4)N&1>&{Efp^s&nG6GPm4m1@~kfs8_Iu~aJ;K^o=FajY3MsCtI)<_h++F+EJ zw;6LWm>{eq`%YUcKV~GJAZ5MUWNj`HMMNfw$v5b976mLquFE zC#-zZ!W{@HFy%cj)}OGJ*6r>~1b)97f8DkV_LQ{P+F5INclM(SOBRKuT*Ki#y&CSX zSDU63YronBvi6=IVtbeEimGh&rvh-CeQN?MuQ!BD?`S@Y8V=r7x5?J-5Da{W?ZUxp zWv7gNiKT;(B$=$s6^;>@o}nw0{d9aT9SOBReb|eJH>xK(#b);qVCEk0!=_B1N#n<^ zpb!x!Chh9JDC~#qhoH8w9n`l8^ifD?%o^e{7xWkB1a=erM6(uOCu4pMM)%=c4BVu@=Ny5NkoK z1+f;y+W!{T+WSy48d0(VtF(VB%@QaEcIy_sVHJS*i!=_Z9G9^Pi2W9fj$^J-wN+;MMw12;6P@E&bQ~J=EC?C2KWu5 z>(0B0Ka4wRCSYAuuO%fG31u|nx0ijVOPJf9H1K$11WX#lre_i)F&r=hY+fAj{w0cA zZE(<NgYo00*x2uUL%^ur|E}T!^mtd(Nt<&r=1z_!DuJBk)bvSAvB?D=p zZm(0HKyXPtzhNclzWV+#&0@5W(AX6b*-xq51ux8?*4l?S+Otz#vs}Hb4H!CGGNoQc z`U@q>gd;ivl%-N4)W>e6bm0UQT{B`Ptqga`cMgaxWu|-CSZKy|cP~lh=5N^OZppnL z3Yo)H4e7p8wk#|-CS7C=o7Tsb;#!p*E6xX7Bm35R*0`N2Wf>>tT!~1k$K$XOAv>E4 zd3+ZzbdUm@5!6Q36H-@dPW0IOY9qc$v#4-SJj5MdJqdI4vH%XW#AR$gm$Tn%J;HF< z2?{`(t(sHV?`Pmvw2nuJXxZPptCQlJ?6LE}^*i zeu-s=jvAzMToiP|0t0VOfB(jD{}CzfMmZeD&gD^>-e-N>3hq;ddvF?lT60>eH2rOY zZ}BCbs~I|Ppa1LNEoJY&2;MILL+~~b$@h%;Cx~y3;)AC@@0y>ZqxYqte<I<#f&) zQP>>qUp{!Ng#&}PCLqwR&VxV;0xbx%Akcz9`|ks-*YeMQc+cRW1_@~WC~f*@8Y$_S zLvrp4stxRJ8Bl;^0duol0}SLc*z8@{x-qE?c0h49@WM&%4dJ4SJ=nWJhKz;_jnUW* zsA$L-rwO&v5vJo(VnI+YQx*sZ8;@`vid0d!x>Bd=HiwEiIl`Y-RIdr#Y55sP1ngt# zNkEI7VCF${)bIm9d-qMIxl~ed!>J9Ewkxdu!c8W-g9XZwqZ;eLj?{Q86 zJOoYmFRfIYvq13HQW2BdcDH#Et)f46aT)&MjpCxWAao2UgW*02 z{E`yJjI&qqHHq#|(xB7UKt*9y5nc|A+x}KXVbv`~C^>iKt&Q&4FaIofyA`g`QAxu( zAHaUC^3H?1gLJBFtG_*M&_bFv*!;e25Il`;-<~#D;A{JF+Msoudw1gx(+0`j+`06h zw|~LJyhz&ym1K{$lH}1&e)DL3zy5-)*0QYqokyE?@T(l1yc;L%o+Jlg6ymJb%9*yp5Qu%GG> zg|$=_+}w4Tv#5BAQWRpO0V!dI#RmlG}%e2W!`DC}_)^;tV%^5th4 z>?w1RyEP19GOt#uMVKH#J`)2xD$#X(QgaW&kjA8l0#r-Yf!VXjbu-a$bc5EC(`L-4bu+;fk9wOarwE(^QOdr!(cC~R@hTTVc#?zOQNuZ5 z1W8aT?QFfX-{tW#m!(W!Ok1Fvq(}7xv-nVP+a;`I_^JEDXU`(qqC$W(ZTXlA`rt>G z#8*j5FD2-J4DZ7^qG}$<# zyL$`vFPD$#+k4B$^=_FPDU>=___Z!3P7{{O_VwDMXnO`e(!i^E4eSE7dj^Tvm5QpA z?H<^xg}0k;66}#goj!i))ht*1Exl~65kWx9xZXRbxHX-_7tGuogqpDpS0HRAuC!Qa zIPWbjBZ#XY+Wc%jhY9LsL55e!K`?&g=r52jHMw>RsnYS|YMKaK4KQ6$8a-mNeBk=_ zw!si=Yv~iQ!uFm;&lG2^XZ@)P_X;Zf^f{u;^*^+20KA3$(QSj@c?2cByc4}NEtK@+C>T&u zXrY9$1KNQ~`~W0eu=;UTw)<^F7wZjTTJK zo3Z7<>TDE{4fB>j;mXY9Op2SdQ}YrQCrrc}JX$W(yb9k{ZmQ5A+u*qA{G?B9ln=0J zjZh2GhAyMZ44v=K8c4>LHd?A@bbhd*aZQjdA5(RYRZ#L)eZVg?^h?l}=4^sU_ZxomFbmwc*qbIzMrvo=P{;i6D(sh1~-S2?@8>acF` zXj^Nms*djC*ab`i>{kb+n4X+esq3xez->q8l4}_nHf@oj+m4G|E*vPIHa(%+z11#F zHS{%bJM3OLhPU^1=EM;qovKw%PC00n)w3@ncvh4wd#ws+2U{4{>^S2&UlVWz^>Yxu$vc&U!DWL6AQx zv;opg&a5q8qhQEkb`g(GMGA5htOx(kqhJUy3ikI=u&ZDci~Ssjg?WpeZT6gF=M{=+uh!(TuypJtZb__^1U-*`tidYBC^#NwC2J! zdxno)?X1&60gqwp14rd!8m<$ZqFUHY(Tq16kM{z7+p1u5XvWP(13PDQXBk2IPG|GY zko@>DMhkKG3(a=sV#%vWi!;+4FvDhv#FuK8=Q&H75U7PGY4OA2(!-4py0Ib5ZH_zO>c8*S;hj)5@Om*EK}`kHZ{fXA?Gr45@KD!Sd>Os<%i4O@#S&Mx9o z;iI<6ZG)E5z2sfFo$JLl+(&F~!7Ox2KQyj;YyWZ?WpgFm?W;knZ;$BX?5t%feA$F| zxUHl&$fCVe-R9+ZKU^iB`-rN@=DR>EPl>XjPtERO*F#JrB|1lr^-5Pu054$U-7Q=4 z6Lfq}=bs404<3CDAb#((HG4uI{n~Q8nnDyvbDvE?)QAW2xhcvcrkC6G9n(>7LzG__GcTkVd4MZ z4O&_x@Dg@lr*cbe>1RUccRKld362&mk~0F_(jU@l58 z8i`;GP`RD)NtgCinAxe^QrrhBw++%rUrS%js{!0+$d%hlWP3D=w~>w+^X<;zK-D2~ z<<{h0uJmv9ZAr7UF%Q7XEm*k)E4N_f7OdQYmD@kLatjv0z#W&9@?L9rwkjd^MXQEw7DaIaO=EHDEqpWCls4kohl2ukb4_dRJH49p^ zpfw9xvwyNR`{QO8SOf!$U|Khm?By|H0-TUeOjLV+Au<6;b9^-UF4Je?4d4AQMxO*rl?*+; z#s7Kq=_9RQtq>1T{A17J-9B3-$J_>a7UWrwXF;C*FY@g74O*}W1{T4Eza$dR9!^VHCjwvAUm)tqjFFkKVbb?NEJC6Hl3h6Ne+f5NceItpMB3@n0yMKBV{ zrbLn3w#=T;H{`bMUeYEPp1jF*fQ}U_NPY6hO|IncZQCQjCKmsySVDkS5z$c}_ literal 0 HcmV?d00001 diff --git a/Chapter02_Discrete_Bayes/simulate.gif b/Chapter02_Discrete_Bayes/simulate.gif new file mode 100644 index 0000000000000000000000000000000000000000..dcf571cb8a4eff2803a2ba0996fc925bec9884dd GIT binary patch literal 208052 zcmeFaWl$6h-@Z+=fW)GN(ufkGfKp0`1xO=ZQqtWlxpcSEjnc8Sq;z+8cX!JA?qXbC z_jSkf;Xl`VKl89N49pH6nAurok2%iscM81b=X|U_fLMgEgMjeu+cyLR1gcXMgd6bh z->}49NlU$WCh_Xw17>7I*i($KF9i56BOpQDgEHDTaZ_T8#{3GWD$j8}=LEx-d{Woi zO17|?_e6$|0+!FZj-j~MFufX*cfCazB05s{F#?3r1~LzQJM~K^a*wfa{F)aEPW{EQ zhBr#iv4h%|56UkByVsAuR)51KrsEWp*R}PIO#j?6vT_2rN&on@f*!~xDx<7*boCVD z7Q+)EMSVNp=*;rAv9&Wyl6zdjN(T0RFGq>S7m%7za9vDuX!6B}Qzk=^GJ zRWWi5h|8(!oZP&?CV#*y_SV=bFg~}sYibLML&5Y^T-C%mC?W4l_w@ERT;{|Y7Zj{p z+}_MdbspD9o;Uzlk{f((+*7RdW=UxZ4`mr zqF4>aDt#WMb;WVppMAw(P47v1>356Amo=mBlSs@HM@+WNfeh&^#VTL6tf3s`3cCwT z_Uw`TckR(Ue(X78#fIbMj#wPI6J?g`V^w|}c~eym=VupKoRFDXcPtWKf6n~5Mt>46 zr)!T37FyrmQ>ylVT)5O3%k}iZA1~goSIP?&6%`j37YGF2xN(DkfPj#Ykcf!r=FOWV zBqXGyq*PQ?)YR0sZ{Mb&p}BMC&fU9rX=!Qc=;-L_=@}Rp?%lh`$jEsA{(UAUCT3=4 z78aI=4<9~${FsZ2i<_I9kB?7KP*6xnNJKMT3XuL+B!Nqy1Kgh`uYY228M=)Mn*=)#>OTlCZ?vQW@cvQ z=H?a_7M7NlR#sNl*48#QHnz65AP~sT&d%Q6-oe4a(b3V_*_qY13JeCjxVU(DczAkx zdU<(ydwcu%`1tzz`uX|!`}+q31Ox^K1_cEL2M33Thet$2L`Fu&#KgqL#wH{rBqb$% z{P;07H8m|QEj>LwBO@a-GczkID?2+oH#avwKfj=$ps=v8sHmuWo2dM z<>eI>6_u5hRj^0jbWKf7U0q#$eSJeiLt|rOQ&UrOb8|~eOKWRuTU%RudwWMmM`vee zS65eecXv-uPj7E;UteE;fB)d%;Ly;}@bK`+$jIpE=-AlU`1tt5#Kh#}e|}c`uh6D#>VF6=GNBM_V)J9&d%=c z?%v+s{{H^K!NK9-;nC62@$vD=$;s*I>Dk%Y`T6@Fjg+@UbH_UIHBUq!7TYg{mHiC ztl>PhdS5c(lI+n!-Tq9K_L7`&Z|-Z-d~{2-ZmcHzYm;2e-3euAGAtv~K8Vxx-h=!| z$`CPt3pv`Ic#)fiG??g(l`Yh%C^2n`FH}_=ARSmPcgDQmc8<~Oxq--=eU+I5H^)C) zEE}g(l$uOdI%83YRes)`Zwb4On_F47zuc1|oB*v@TbFBsF6x{nj#=z%zSdiL>{yn zw%Nmwp8*lR1tfTGY1OLRlRF6}c%y`RC;8AObH4T5rt&7V-Og`G@+b97pL61vi@1H4 zRbO{L;Ati?jqi)GD8rJ~r5Mwu*Ba4UIrPhMwo4hy@gjY%!{Z##7*-P9an_dQ!GxJB$^Pu+ z^GOb~gm(|y^3--LT`YG0WO)oLZwRkn{W4Jy;RFV_hT1IxsTBav7!>)KOt7u67 zUbM3*G95K+UuL8 zbjE%%r8D6M55RM8Uu~6bl#IVEfBxD#;@N8nzGwKwWm((R7qwXL)!c8&O3++Orm^CdwfjPB$|$$Ceol~hp7yno zvO_mMNp^cAb296X6@Bu?kK+L-KIk67=|W_^0_aVI&emyE%bKa?euA za<`r&q>+3$TQ9O8wwEj%&gCl4+1}z>srvSyaF^pB2cq61l?=wHkPzVYQ{*0z!OYCN_oKX_3Qi- znU*-J7`_GsBs?_)tgZC~B$g1K2*7WK4PExHMaO4 zv3}B$a1eVjhNhswo25rf_=%H`PFfQ2mD-N`#dS655+c7MY&>Krf$no8GtO!Pq&qe* zzs3TcT^ne$jeU6alCRUEH^vK^`37WBi|2Yb*6W$kDsO1aRHuhA`-Ygj>+reRty{`E z_b$NDJ%+>tshQK)D3CoPg)GXmIeNt`=<)h(Q7EA01BUrscgAhfl|DyaX}`*4^rfQ~2La|Nx|k^ZAE3HAtKp|NFbJ?w@u*wa zeKNXf6$=tW&+iHe`AF!}AJAMgN-rSS5A_y$FMs2{&nqT|Z2!=ADWr=Z1O$-!g4gsv zQqyO=HuC5TPPhD2q)#vS7E?;D_24#Z4tmlQ>Yn2tSw)UzTQ?^0o)d%ES6m+^oM6%H0Y!7?` zM(x+ZqJpXT=rebfAKx859b}?HlR$lTTrQ|@d>0H*uSY)+8W9TLWTjr9y~|))Tgx7< zdb*Ki=>VU#HJCn{`(dy-yU1?r2<}d{4!cN{+fM=fO^5rb?V-X~jsn z@yi0Nw?>Yom1gUGq(kjfN9D&=J0BWAG>Fq@W2IGlcW@oI+ozA0Y`D)i^T5kHstCBY zHK;h^U|ff36itoVYq@!DRHW+PlD+B(nzkJt8LFcD5mB4*xq1tT%;CqJG+1zUlZtiB z5r%O#E-2*t=@@Dd2MIK>cCp|aI%txuM>fya<_D=??CB z&eq)2*BBoge#&nhNEGl<$Zxs3ncX_iL&Z?9P;r!X>99D1%*des*7zgs66u~>Nuxte zqtEy`V%;`3RVbn-yJb0w(k8c5zr+medfM172o1X&a1o}kTUGDI89V01%%BRKRFFfCQH1if{7`OTTr?IoZZtK?CjeGUJ*}A|d z8-VRmGml~A8RX{ES}UlTO#Iuy~?iH3+p9h?s5d=z_nNoo>^|W(~($f{3qqhMDl(aGD0* z@NYn4XKWOF-s>1-n0%fId3OFp!-2S(k{}@hknm`bjOJZ^dW0C{FWFhDZYHV-kK{O+1AT`wNVIaC7zBA>^%4Xy{ zU`GlT)EH(LN}$7YQ&+NCbkQCZz8>XUh$yHnK%+z?x*g6BJ1#L`q>5n>4IQ3Tk1MGQ z27uU!8{$kQiSdZim2?+jaK@M60vYYymsym>C`Q;E} z`A9e?MA&glc;CuLW#U76q~?D!1W+4cZ{6Z7Ug$-hlNJ%U_Bn84Byj5_aECZ(k2B~%KIq6c=p-`e>~ql9ks#O^)LUY`q={d$W_r}MetfiIM z4~!hMatg<^-tuN6BQVz}$K1rm=n2TROcS15>zd`ZNYAw{y*IfIWv!UNX0obMnjrEy zuI#;&XIta!J&8BVCe;FWq9+#l=;ds^@mS4rgu#wh7Ao_)v?iP3gLkiTgUqSo9&~ zGrQMa7X7C)U1FT|MDg2R1{E_yjhy9Bwy9lDor!tOh6AaSL{z0|?%x6%e9A zAxBVmqeQw?oj@7J#2>kTaNF4u^rDU{u+8 zwy+2nqhNGdJUg;lXPRB~=Qr%RC6GFgfl?3*006&)7KL;K=+uKEihy!G708$9Oxlaa z07eRu!npAngATzyG{Oam1(mu57}?`I)Qr4Cg#UpVnWzQmoG7NjY)NM37QL>;u_68=IIwkEOEu-TroB%&j%E!!j zkcD8zr(<&Sd6TOnXSV<=beMDLeDi|=YXYG7W@Ni`pwbQ!4Ks2@B+y6AKDX3!_n6gm z1<14l^i@MHCGx*Hi=HZjb}drW$D0-7Gf))F8qxxqItiE|4xHl*T#yf3vJG5`{0qT( z-#|pXBDO2%cIDjuWD>84?TXm0i0z8lu88gb60!YD=jIz4>1OIBJTZ6c_;V+;`v;`|Vjr?)>NGFWgxV-kIZ7OE4x2-BjCY{I*UQ83@*%b;;?S8bW+A%T_ zjaZ*JBP1%Hf0mOPdGPimQ?7b;HP5*oYvu!{ZOsHvkO{qcBl7LYswu}EXP-4S45iW< ztaw4U`yw*{3(nf7IS>yPhqpLB@^z@ZyKY#9ZwPKjHuP78_@T$n;kwDEJvw6Yk10(d zZ62;?Z+hVOVr~9#OJ4LV_CxnpsRax#`PS#Mrao)~?{&ci4seeE6cGBK;J!T{8ZS)_iO z&cjBNRh)p8C59(8F7b~-sXN~ZRSfsdt?ma1r|E6tN7p+;ucuPoUlxiu>q{fYO(6+T zUMzUho9k4ZqIrK^w)AFq=}_UvK~{YcOS{%|a*JH_fOu7b(SbUC_Sg>r>*_>fqlr^& ziBh6#@6hc>hmF|_t*VSPY|clg1KEoNxQ%ZJlQ8H8^cWiS8)ycVPTcc6_Vb(EvXdGg zu4+22n(WjHYAobhCIP5y>zNqnl+TQGv6m8T8F{*m&(6VKygSCmtm2;{7W`40u6vpq zQ8-MWE|tbX7ezHg*GCqf@|T6kY`t^-whg)MkJsVHZyG#4F*7K3(rlJ%67To5|9YBj zr3bHxpYWm!D+T2{D&3+$CWqxG+n|9@Tf4DxacknGc0#O`vk-I@36M;w8M5 zE4}!G*nV?v+kb(#_7nbp3vXZk3~z?pUR~eeZRa+$_YZnQd(o0bj#>E|y!F7~E$KVF z-Q!C~^?#r@h|9%KdW#`)h0|NG9oaK5oZjBU z>22_m-tYkU)wC!yKk4o46OfM*{EOa5Ve|&Jk0x@3(HjGd-Xy?N&B!O0^hWWW-hwSj zcb$A8Kk3cX8AI0t8Gu6ei{573qmG@CfMAN+OL}AWpsIz_TiP*YAspWlmEidH-W5h~ zy_fX%Cf)m`EoeBxk#ZJJZ_i-#wgacPZFGF~@ARhT38S}E7`@fN>8+>*Sg*rek`AZ0 zy=G8qGqUSXdaH-g+l+k)hu7&btL+Mqr}AR1@U-hpzLlD9U9_5#;&yW$~Yk$$dhye&gB+P{*<#_(DD; zp}&ZybaQ;LnVlj3Sz&u6z!d{Wf)DwLGNV?f{%BkOTng246(klu66v&1crVpcq0#AO=7> zlcQw560%jDIZD~wqaN#}=BzbRWPWu^WEA}cv8{Y(FNn-Rou^7piVHj6+iXl~&+u~{ zS*mixwXfs5v61{8ydJgx``31Hgx*>N4Nm|J;;TfcvA$KNKloHe#+{tkB36_lD&fWm=lXqWT1& z2Y8wVU!RzlgVEcoYAfQPi8+#|kfy9ID>$c}HFaU7U2@tcjMFBT#g5CzFScx(D<<~4 zR4Xny%~f0J#dmsxCnmf9@NIvUY{=Wca~k{jKT5Vd7^kKGA=yN>y_&vr+Q#i((4}M> zDHFJc_M*ms95Z_v=GdS=B%1`B(;O}(ThygwYl3sy437YN?^l>)E2XM!xVAG56j6J2 zZL}0P4x=2aA~jx88Ug@6mloy5PfDYJIX22a z9NRTGrP=us!5!NzIHfsvH6yQFQX1}eO6##8-F5VZIR9{LrcS3i?)&H{*nd!(o6oTm z6405V)&=g^nBA#rJza|_<+OB$SSG~6Xzj|#4f*LpyFiJ}k8q5@;&TxF9o3sRW&xN6x8g`caGFWCQ zqxFq4L6+k1noL3XA;0jTpj2;|Y{?iwwz1>AgHXAQ@~Oi-(BOJ(kr3S%=wPl3!G_nI zBAyHm%5~C2Fq$Rj@ILVo#6UD#L!F>|E7pWECRpSSPEBWy1|cMdY(siU?u$Dy9|4LA zbU;g-M7A?E-0s`B2m-Lq6Zd@yr0CU#5s~l*^u6oX2|lYC60nWWlvsTxYNORe?-MpR zPD5_zR_r4kR9>d8E$R6XL<|PAIWatZ??bA*U4Msob?=SEc)~v^W^8Y zy!Ufk{QL|Tb^)ikl)MFb#>$DbSP?DUL)mV(I~Fs8tBLj4D0 z=jirvJEM5SL+SC+S;j#)?{IKqXAKnY7M9f+drrqAio`z_r@?XBvIzP1Rh9n>N6$7% zkq6e~rdyv{5yP)H2HonM)h*+!+QzKk%j)m;{+UkaFNXZgp`wW#E z@R}|V%(`y;@y7ERM7$yNQ0a8Fx8ziacwlfr5FHYLoj6qh3T1Yre9u=#26V%=r9=yM zcy{XKUB#fy_lQLPDSj>bYdX9Vj9mK$HRfw80+k4;D>f*ox7Cr^r7>>sYp9hgIHo z++dZrTXfFcJz#j{jnD0S`!Xuh*s$T1y*@81w+#8xlMh3RNlY=u*zFs znuGTWSiIkxyw)9Fd1H2*f>qx5-f9KAj=u91)O3Yc-sXKjm;UIrA>0f`dK`?R5R3*2 z21Es8mIYrM4aPYQ#=9AEReAeckCtTCbY9&p`3p<^*F6CXP-^}694(Q+O)Nu`W0`sP z{b-30l5!9HXbAv*v?TlA9xbsWZ~vbjEiq7l9W9Z*JX#X3gn1DSH0Qg1K@W%9~dvn7n;r8|YB zA<2jQ3fQf(%Tlr>nFBc{9&e@TW#lT7Z{&gE`sL9F<-Q=XLnwUj2`(`t)QufNygdfh zP#5J(p0gLAzS$5UK96sUJ}ih_oP0~WsF3H%UUb%*Ex@@R-}mOQD7_K-Rz~`9u!t!b z=~fSw!T9`GYSYlm%vUXp7}7JG!-t4 zLZEiXrVxCf5MeJhqCLzr&eno_8s&qj3@P_5Hx`*-{iy73dIMdNJ^k9E4i3|bkf-}w-Z4hTFdCzdRS4h6W z<_^oD$OIkYBe}+lXv0Kh<+sGg0=3ZvHv;In$^GpPn)!z41oKzsDM_MIUK~aGpB8C` zyB4?JZlZoKB@%zG{jPK^sz9teW$}x3e!Cz-)&~~X#RKqZD_!ay^hUQsJd5hbjurJs zpoPjMR+F+e;i>C!jfKlJM^P@Iq5gz#{`F5QMyXAg3gW7`mtT3Ewg(bgB<{1W2)?lE z4b^5zVF*|i9)H}gznJxjWKxelNU=4#WGmyeQvYe`t)2`*$&etCb(+HRfqAL}3~Zj& z=<4YH1pe-9J)?I@&Vj@EP&`P#zqa!7*+7R&q)h6H^LfX%J{#E6zaw?|KrdIU? zQ5P$nv3h1}i1V+NH&}r3{3R|s#HE3I4wYbsk|voGsqbzzPzvCJ&L>YHD4paA0=c8` zAt1H!762$m)FR0dUv9ZbxE@=-yv9D`Ld>^^I`VCHFDnwU)3C<=bu2keG9NLmJ9G=^ zRx7dl(aUv{%hfexq{cIq*oQ8C8z?5>Ou(+IDqx3OPn2G_=c}uQ@81m+Q+B3d;8URr zfn5uMog#s^-sYQui$wT-J!;>LTxtz+ri9D!FwpL@_4c9E#V8S7mf4PM)|mzo@SGK% zo9u=exf%>i0RCrM6!Hf zXGXr+0tCZaZ+w+P!b_W!W;<`_n^RMQ`Sc96!0ok^p=mgV-q07pqNICzl;3Hj%j+@zOU^;8R2sD95;PEy`c6h~fT|_j0jw?1mWqi6 zYnejps0iG31cYlR!`i)HWkKKUraUoAsgnu%!JCR|?&Oiw7&!f|lZxX@7@w;}c{at| z+GcT%Ez_mm<)zlJsTahTG}tuGxzXaQGbhPs(Ka!^OZ%+hQ*VySlLLg&@>kX{_KgHWnYDj|WNr|2er17(*Z^!CTZbw;0 z8hfW|k;==Kme=RW9;RHcGI(n;HeAG>nrPp-EbTYelhM?WZ*^gyf>SZth;~@;A#OuY ze0->s@F55ix0$f?gnMG^$gACQrjwuUOEF7H`6rc4tLr4A8xIbP8w1w&0XD_RwKj~} z0kf|wNXB-YY-$j@Hq@LIX9mKLzhG~%oVGSaAg>zN5l)$?$$gzcVLE9{2{1J%<(dKz zJurj%5hit7dM=!&+B#lf@A=bK&NHY!Xa_>~{Ke19(tuQLnuwD=rLnWf=;cjvZ}lR- zIm|y3u

)G)rQ#{&iEb(V^r~>1lI7msQTauPY)ZC(@swXhYZ*6pl0wnP%B2E zOjx|T-b&$vX-$GJ(gB8&)uIqKNH_*6Kc(^AdHY9V(iFVqRL%G3fyS^>GFa$Ortp+~gIX{k?n!lWK*nLswqyFGTd;^#qL1bpCs!nyENUswuFn zSbmpkVo1t6aH)m~muegTR;t;PcmGeN+B#gSDPKyp=)YB}rTkT@*)#`6|6h=5Jv7%K z)FZ!3HPkl}v^QcOVxp$}C#g0S?Os_77>an{huOCs|BTms13oi)B*U&VuD;!e6dx7OmlqG^)tGLiB5h5ACH z4?fc6APdY#RGRqQ_{1DQ|5~Q}jR={g0@H^KF;SuZ==kQ8JBWJm=H>m#M+0f(6&VHI ziqdi91R1l446ogNX;azRQpG(or3Ic3aw!~U(t9v~N*F?O+g7vG7Bl3-#@?7DvE@8c z$;x{lon2Z-fT8e;LE(kQ5a%dCF6eOe?Xx~P&I`62mz-6#r*B3$$OyB2R8}>3`s6uy zjxs|QSKe{G8D&=~$%ryq(SF>g!0tGdZXUp(;$t-y=Si59(h2ofS$c&hdMVY^^|}WX z(^A7-b~n0C(fTl2m0<+eu&R=OHa^16&kmPr^3Qs74`oyH?x$N|An^gn;ZkkuO$1i| z#+pS1@JRsRG~-gL^^`xb7>*V{!2B4oFd>E>4l4SnE?m7xkoD(u<(F@v9NEiJy8N^v zv%bcbzDHy;hNyG(T(DsR$`S=um9v?!C4w3}YYoqP1xk;SMjBQ?`HC!+W9qG+Khi$f z^_NlBRG;L`T|V6v?7YW|Y=Ei!yve}d%3qT)HOXog>hU6VD_`Hk~QNJr58#bctQwie6&xOP@+0E{DC~!MBsmI+m z*Wn9#oaHj~GMUYLF_>JjLwBkmI?r&4AN5JE-`kl)sy8b;%4fa7@vNY|%H=o5QI;`I zf@uWUFsU{+7!tmp^bcDr(VetV*)A83S%|G_P>y7$M1fZYAGw`(A&pu8kZN_` zr5eUxq#E+vUiPI_JBLfP6h3*{0qFWKsrLB0R7)dng-Nv#F^PmqY1`6p5>CD{(VyIDhc`9eA`tL^7r|+t0d(AV7~4Dw`o$h`h(4VYQomMM>& zB^%Z<7-%~vqlUdM(=60bV7`!@Bb22W(x1&LzVyetCg%2w2C^4p+%=fi zIqovomyqn`6Ne7nZ3YG3iZ_ll@yfc%NG|d{tVP7swIrjS>cakBu(maIaUFyqQmV|QA-0B|KQg;?kS}X9ad_vX=`sjWTF^@ z-6au(-6hc*f#M&2!Eu6szcD;U&?Kk>5@uRgMGh=z%hxaGGiz9ls#o}oWDrA{@!1VI z&-C^48LSPxH7n;Zh)U{M#df_ExSQ~YHyaA?;09k9Xf`?tS8a-#i%#ELAnoRC;zm=p zxreX#5W6f-TsA-O5vdmInXSBBxM{czxAp^~GO-!VeW+SH>FoW|(++2$!m!Z|HICt% zUEZOO-uI?x<8gqxX;Mu~&b~_Xc7wRx!&yMV*$e!S6yB>6$|f6#EJMde`#yvlMMSV^ z`AUOC!ki4#9~mjU3A0v>i*HG5WYw2C9~x};u(FmUTYX!6)~y)MW@kk<^NQna*wVHr z?aloV8L!nLZ{8x?U@~%Tox0H|HCD*zJws+77q#5`qariKySiNG<88*)pBu4tjj(N> zqxEJp&OtV5+4pk|f4*x`*V(a- z6_HUfZRBt001^ie$4mgkj~ZEWO#^f$rbr@=o1m!1{g1zvk4=&p_fi){b!9tD5`N=s zzPYs2KqG96%T_LeFdL0o)EO8@IUhu*bn zP}`H97wSi3&uRq?)m}*Xzr4|V44_T^f=N=8ce~tc7E781^s49~M*T8?HvK6+!3sM~ z6f^R-VPF(&tPR15l*)-JA8`D=xu%ZEorsAq=uDP$Io5U?L_C6Kr-qt13_KUW2UEU; zz?y3{4zT80tSOjM(*8Nbg>3h7tZfF~Tsv+4(Oe5>c8LWeSJDuSuX2vu zJ5E&U7?0FkND%?Bv9=d!b_Eas(hATTj1-%QxrGiEO?T$wbNMya_6h(xqQyHo2Hqyd z&oV_3BF49X71w4!xEk=SHmoL~`_6MpV*F1UUIrHcoJI%atzhRO&qv&Sc^2H6ePT!Z+MCfTF)`zFz0`35_M4THFYy?!*; z68&x_0g8w1^a0M|`<~>puH^Xub~XE&NT4&Nsul!1>h3M*28K7+kbPo?|HUzq-{#w{ znrnY|bL|S*{skoc7d?F?+5SFWyOM0b@!FMS`<>UWB-{Uh*ZzLV_G51Q$QR%0XLId6 zzWhhs*NkmhPbg3f+1wN<^PMQ= zFExZE<({%hx?tTRGM&t!w<#8u?OW_GLV=Z~O8YPCYW~7`Cao#cn@(ca`1o!;jiK%) z^2KvO8&!20t>`;^$oc6b8>xdE{DjF4{Dg@o?1V`P??~$Ms)@ZY$E;uFkTkWisrS=s zbK3NHp?)dnA>G8YkCm4 zUK+kW!C-Nt{L#{Gpr4^;q1}4x3x3>4pRek-Q+AsgZWTf!Jw%q!V?ZW?x!$48AD8Y& zjCL7s?fDhTEHhe+cH0D+$JGq#&=%h8z9yUdf#_nwu`!C;f>0`{@sXaWba@~4i+u>Q zGrSIq+-sx^Kgo~WL5g!G~XI16=TaB&C=y(y49Xw zckq&$ELFBXx~~LBJWYknP;sAiw9WIVAc)LJ+g@k{pNc)w|GvRHrSZN#PwVM)*D-($ zafMrQL0%lzhQ8GJl!%47ep+>|=G z?arb*Zo`$O)}6MssKyp<^Q1g1$15EoFeZx>aHXTPPhKNKuM|_^Gg~ zBhBnis$J7RPya`V%>)$MHo$xv((Wu{wdvN7{Lix_f12Aq|BG*1`rWtvQDXb$+jd+e zkoNy5u}vV)?O*yfDBsuDmEVP19o)AuCsOPp-EjCZx6R!s$Y1LiWa)aI4WHY71Do4c zBZx1B&uw=#1LJlaVYf#b3GkyY=eDDN&285L(AY2Mw#_iPA(wO8`IiLO51-q%S3}LZ zoZEJxd|3e_I8*rCb{uSO8}V{(8xa7X+uqUqeQrBq$0ZJoRNnk^ZaWFK^>#V8ZFV`g z4TKZi>t^6yGkk8_28wlZkrR!Pr^Cg>(6uB`G6X)-{!V! z0ql72xot3>+CR)~r(Vr%+u7OK+uJ)hI5;{wIy*bF`c{F#U>6q`4-XGdPfsr|FYl|E z9p|NPn4jHwvR%Cxr!ewnZJx&}qK2Y6E5wRD)nQk7wB!_^;a9U2{jLHT@S$7O)us#wS|%V_m% z)DRf{;3uo~$vU(fWtoR44O=hnm!bc`YG2!P6-wJDGYf?Ofz|BB*Wd1?4`-btnP_jo zjN8-?UE7{qZKxm*bAdN z7JPR7kCo@e=})Oe*au_%l$YpKbm zWHZ)hQ_tGZs-nX^J=*b!pDlw}1t<{aJCMe1nW;r)@XG6~-OH`m){>0;twG&zbkBag z*2FS%el&G1^nG50=z@?vAy3U#Sb9X$2FGx8e_@GLNq$a_-n7t2{ghF@{p5!DQ~U9F zevb4($1P(ij{+by#4HSTLw_7Jyr_L_loV%TBdis^a(%PXM`qh;etZo53r86+-c;(k z3B%l_aqH&kS09;=?+zC!+C9DzJNt$Gr0y~%84Ojs9KSP4~phE|U9)fP) zZBcUqdgIg|+ig2RL0eWu#%rETq%w#tU}sBwQIp&_5zSwC+VjE5JOwu1CY5H@S6ppn zWD_@Do&4hr3G*6dclmHomsLsL#hQ^E*T|RnErVg64XIhN8fCiR44M1t10gsTzK?9@ zZ}9GT|E#es?*t@dtMm}|C^$Tu%4w}!;`nX6P5i7c26~Ww+)8e!hU^1sz+#wrCdhAw z@-e{Xb{ZZME*Qcaoc$bie-D5GMnHM*=nmwA)H3tn1LlyEP=+?Wi4ALzS-=Ze73l6O z3Q!j0=+T*zuwWiReiw+?%i-H-Zt9DwxE?d`6O#EZ*y1dqk`B|i<4$<*8TM2MQc`#_ zK`@gpA+8q&ag#E0m%qFR~W=q9fR(|4@kO_CShQ5I&t?n zQ^6pP&z1BN;>3o52h9MypAh$T8LZ?D=A(4|rQxJjKqz#0XeU4xVtg3H$rIz3yTCkL z%@2r!c{muvJ%AmMRD(m@iIqoCqe&e^xAFm+p z3gWIH?(e@vas_e!YavcJ6mCwtRXSZnZ{9=u}rbz~(K(n!T zElalHVQwyESymgdk}Smc#;3?m#@8}qt(ocOl+iN?sH}-ETCM#H-lE>q&s&o>d?rg( zNCOq5rLlnRxfOo0yI2Fso)0)yu~YrjaDhRk29rj{He+K37lc#@?laF|Xg7{&Ri=Fh z*F1ksDU&-mAv(PVHQ-+L=8<&qNSvNU(ueM4@;?f0yWN%LgT{6NZ4X!w5cR$q`f{t% zJx96q&iQyUPx(XEOqKO;1^igaHtbl5{D^k1h=E%OcnUj@!`N4b+$pMk2F-aSiAsA+ zi>+NF%-ov$cGm-cj*eOM6d7|CSrZ?E3H9sS_iCc+lmkz*RB^X$ztFx7x989plfwqp zzB)2{4>Htb!-#6)N!@!NqP+M-Wwb>}%p|;QLZOs>tCg3h02(>yKS?9b+9>>@(5-$# zo1JO6;C|P>wrKIY0M=0%^IVp=ZNue>Kv1WR+asxb<&_%tGf0pzV*-JS3_tEzPe`s| zsuY*rqel;VymI$Hk@4sY(vJ0eAs?nHRIE*fEB2*T??&C{(PSQ0Y%3jlm~j>x^0ZWF zFmK2b@|ed^wt1{A4B0xjwbJkuvvM1|2K0bkZ267~~w7Raea>`bo&$Bey@6Eh~Y*}u(9i11> zba#_g&Vi9l>^#M>ZEYj3H6$W#eOB*;@yU-crPAjvas5NWLWlK^t+Vbgfk%bQJR91_ z6@{nJ<8bjmcDd=j9uMf@ECf6{ZBhE6;kIMjOr{F0pDFR_?0Nu7mk$2vIsmOb#08sX z3CNTVMyI;j2n;5i4v2jY;6|uB<14@<=xD!9gMfr5aRlT?s70$k5TyJF#dXK`FTJe+ zLBwr92xX$7z=P;CUencfTN6h*p}dJ&_hi;Gi1?ak$~Mo9_#bl467x0-=H@amuE#0+ zavER=HVpv5%)2DJX&Bidz^4Je>p7C|WCyzpISVH{l;8B+1Axm9vYWSKy(GKJVIa{Z z*>%9k4h)|Lh+}r81Uf!9b^Aef2=8Eej^G#B?ZC;deb|l_Ms_`JFtQ^icIJkF;bceY z_MPk`nt@0y0P>$?huPwyr|ZIp0G|ecEdz9mBA}|b*x}RR-8cb0y+k{0V*DT&*(KV4 z*K@>|WXBC7J3c2E*`djL#@Tvgra5h(}=n4SZ{^_(A! z>=IyPXX;O??uZuVUj^55;JgUf0nMM&0BQj+vg?g-@N5B#7kZN?xx>kh(s2Stb~~zC zrmmweeFa}!P6O2YmPQ1fef|&Y09RypMRr$YcSUwYfvP;%7J)wWoI`@^H zyV7%-{{B9}{Ik+izC26q3x&Yk&YeW%||C@ftFzRuk?AoipHbhY-PK7N( zVKP&`f}t(1`eC-lAcMjvs&o)Q#zt2(OM2K&s4)6ruDOc7RG5uq<9AvP3~`qg`_YX*Pa3HeDRSVuDNf=rc=F1YE=WYT*$7 zDyXy)@Zp!UI}Hfgl)7C1AA4^ZRb}I^>(ZqHlWr#+(y5eyDBWGs-O@b?>F)0C1}OpQ z?nXrr1f&E6QSdwy_04tGf1Q2yc-MdJ&Btes`GGO`@?7)2fA^*PRjuU{cU4WpjMcB@ ze|aWV4Puoy>}pjxOv~n?19CFTZ~a>KHf`VUtZc!3R{BCxDeNvWw&$pqA|^#7(v&v0 z@19hei3N`t-8Wu1aQvJ?G+X#{)9W*`+4ieDHU&MFm}D2%RZ2ggO4)VcQd8;08jyES zJ*3v99F$lM2{TsPvYx90&(WLpJFHc}owpNb;`nkHXapuSS8uo-Da(Ca#o;UMNFB-! z*CIAVrS$C^Z?Ml(4UfTNvFaZkJ@oe-(I)2z9l&Q}e;IvS2kUF{V7U|fJKi>a23p+V z6qRQX8ARhSaW~zkSCv-@T#P0-aVf(?QpY~a+J?NygaUWbYcj>8`8yco#}4<{(h%E? zPGH=-m;8>8&@T=7coru$xK9#>l{Z7vHFU#~IIPG?O=N9}R6@C*77DCtDZ;Bw`ODU4 zedVzbiCUbs;pTFoC*4_Va36gh=#*i+`c$(j)u#zhuKE>+m4O`5%u7M-%+uQjg2a5Y z-Gbbex)r;8l&#$n_Zk}uNUhCW_~uLdxYrx^tYxB!SEeJKnhQQHpe!0cy_2}|qU6%r z{UPz{sj5p>0lU;mgz5|Dw5E;&Yg-2gzBjF8Xg$B}C1*Ux$(X)QU zbByVA_!#!UL0qO?fEM2>HP4s4vi4_D3U$qt;g};~&g1^eMPm5f531PO9I($w`sg0M z7^1v9CdAL^XHH_aFca+D7MU>P{(dgI1vxqv_uBCgbdPO#`aZ{n_XE?}MUjTAV|CK1 zn)3GB`?s)&F+|!|sPK8akOj};iAnakSw62GwV(MVrTl&-C&oKMFZ(W{?)(+sPc^_n zdY|0unx8o5(zJP;jnV!=>}NdpoA>Q+IH&shk2u%a`d6Hb2WU?3C(T^}IEQc-v-k(j zZOXx&UE>^^4ix9osswN%$3ZyZJxJWpuBC!^lw;%pG&c{>90Z!vy|~Wl zuz%2;kPopwl;+O=kkiow|H|nM-5IZGu6`bbaZPhQ0L{T%(_FPLIL1@t@K;U;ftD@r z{6=$jP?~$C=FSMvoII4~Fq6IcS+8j>`)5uk-4D9xN5T6=b8zCm`X3-dkl%AU4RLog zI?UVWpjSNCH20JMD+r)D@K2h%eNA(m0L^tmbGnP!=LzQlxwPIJ$XFo&&2>U^x(gtu z%k}|xL36qnv#9m}&0#`mE(xHy!!VLHPbBQ{27u-!e2VZr_$PklbZ?U(O zBbbc*n&z@SX8@XG)ipl!UF-=Ff8|RAoXb55t-_D`bU*4pjOTvyzTME=4b9!q+zrj$ z&|Jz5&FPe`$WB_HUA-PDMC5)0xykANCpZKC+s@^FmMx>iLU>(I^1ydW#Kj~-yo}?i zh`FAUMt4pnwwwStojIwryS#ZNCqQ%NQl?9Tsd&eQymxk_+)6pJHnECDWEd14o6o3G zaFqz_Ftp0@#>S%`l*o^kD9bG>D;aQ=u@{(sV!lwRMpr2xr7Y9P3svRPQN}jbxhK`M zR9zVe&|HD#i(&?>GBk`T%T)_8G0BB)@A`a~x_h*+mU9*Cc;)U5IJ%GC&A$=gE{jYk zQZ@Of{*@lF zs%?|a;X%byn%ZOuKGV_I7xE@^D5>~`CXBX=<5o1b8KsO{+|!E_&faxe3fg8ut&5XE zcqdsXmm9cZgi|4joVj#fz<-)>+D+von^4CbmS<_&hejonqt?{>lyKHJ@H9`QVq?91 zX{G>uyh5PCBD{V{8N0H&nk9T!7XRyXZ6s$!>q@iEtJ9f&S*Lo#%aW(M8}kLv8XI#e zENxtdmhif`OByqFO_P=vQ&AeL>7_ri`g-6MM?~vvIvEVcEHA7IHZ_e#95_~atnQiU z@wYm3_k+uq)ajdhXFEN)hQoBDBNINO~0*LH1mV z@6F|troj?YGCOG5vKuH{vXznH4s7xuM-R2Pe+ta=Ttkm?ouJ*XnND@tJQQq!SqFc7 z07D}5I8|-{b@v1f*>me+%zfx=^*E?0{Wp_Lbbf;8Gpls>=r?Tbu>K|oG{r|VJ<@djpE#LpCYC|lC}xonBy{4dIuqyJmV zmJq$)%9c=wTfZq=y1Ct4%x!FJynp|Gb8~ZRYioOZduL~7cX#*W$B%n^d;9zQ2L}g- zHy3k%WjL6dvgJ+L@}_Kg193MH_rE57Gbg842>JnWCDQcz4Do@Y1(0%hEa#yg;%lUg*Wnd;y%Qj323$egfKj z$2M0D1;s}L;$g)U&Cj*W1@xuqXp7&(8>=HO%XNvDi+<1S9<^jD)Vtid+B0~gN%Mlt zC=p>hz=+u%#>QFoVYO44m1)@g=ubsAU=w)rnYP)Ol-d5fg?0%HrXRBYD`d}I?XN;j zWgoumD@zQwk!C&#_%&po2^GndM|L#fho>xqcJN`S8a;Y5%N3=ER0Rh`+>nOD66cENW%$OxvJ z8q>WBB1-P96NagGagec{kS$M;ay0h|Ua`e`F&bef+^4Mc%7`&vSqH;E=#im`3E=9T zq(8u^e5(2^C@$R?BtS^1;H-0%+$FtvkEMC!F7NTID_e;<`1oCTE!GyDTrqAe|L@65K-WQI43rb!4~~ExxIB`_kGk&tnzQmdggY_E4k8cWI`vaSI{S)>Lif zU5~LtJ0ab}#q($23z_7WtM_%(*a_OAv_9kYOj1F?>wN1hSrvV^A`ktuT4v{&Gy}M& z2{ZUSH`p!|qtKM|zsQqp_H;CNZMC2H&ZlozcxR8BLYFIH=kFzLlW3!7=a!`}Y0*~q zWbL2i4fAitadA(vc{_V475rF2G2_(E;@#Cm=3Wvm``lP3uqUD0+K%|p^(8*pAz2=p z3*4rNuXKe4YF?ycvJ%OV)bE=o@cqZlY!yGyuIo*OMEj1~_{Ci7)oFE9`$to`uS?5U zpPT=Vc6)z9yYGKNyDKb|9pI4e3+&{n_E8VZYCABbPacc&`UaK-xA+BFe~|adB68QGFBY)k`CIpL;(7hLJ+V%v~M{wi|PTrq=P1O zInYbGa1viHq`L5z&`UZ0q2D#!g}!L|7iCLK!kC+c?w?NRZj^CJn$}{k?cusct1nK=2Lo zxQO~;YF-{iLzeKK)~93!nj%4`EQR(Nc?rcCG0oFbW|bY~612jqr(9);OFQB%rQ&sh zxD^SCW#S8(;!PB|mA#q_8Zt)nS?`<_pWQ*#fn8KfyP8$-MI6*SQ(s6VYg7oi95C2h zP)`(0RERkpFj`k%jCqP@@4i|V%08pZ5NCrQItx*-r!9P4%lefL1PA`dTZOW2@`3l23%+G{wC+zork>f%tVqLvx&tx7o05-vExh)mbiXC; zaZ=QqL2U--&K#W=w;2LnU6cfVngh2xZaMQ-kK|EDlwbo>?6*efp$B+))}g{b5AeWb zHIS-%hG>>a4E!fKq%aU)vSr3pk2^;Y<8mz#9d*iSr;KQGX`@pL$$BX=xp;k|C2iRU z{A&BkpsE@+ORrlG^V-BJX9 zd0_#!rcj`7dkw_5IMBybB^F_>rz^U!@7`FScW2I=MQi3wrc>SXqCFdjujLhm&dr4C zxPUe8#rKS-FD5H2&9c5$oOSHFl{1BD8oWNQJZn7OQwt<^e)B0V zf(1ENA34fYimKbSuWsgUz^>NXCenlUtH+s#kE_z&z>w$%oRmG&=vkX~fHZX7>B%R< zEfzmMa(yLnWgl0Ty2W?qR+-|ZH-lsSevXrZpYT)-jYA;||d{FbVk zef1!h%X#H(Jw9m3lEG_Lfp%-A#5=RTjCAH{lU2*S^=Xym<$`vS$7_LGMp{zwhqzdPn*g+M?Ir;G5DWVNZUROC<%HzOuH6JwW{{t5 zf=BKQ*KUH^dC(nksGFc0K)JWjQIzy(U$DKW$b=v14>!Rz$^mX~>ufl>!~2Qyet?^x zi^rV-Ksi=_z)gVe>dlV{fw~DGet?_cgbGP)9(3M>g7eEw07K`iI{*>V`@L+bM(2(~ zhlzF$;v&H61mpzT1X#}jl!Nj3At!ivEhk_HP!3pW$w6jrd>*$Dkd5s94jC&5K)LJy zz)f%txCtOWfDs&U6CC!U+5&EZ!%)CYkN}|EL>NhzC(?0P9pEOY_9-}X=db=%w(JZC z+ywn+9-ed%IqYCE*Z`=T0OC0XxC!hGj3;~-^Fze*uFIB`p%rJ5hXntkZ+U}qHz;>A zYx!4}yg|8tE~mRexf_)GwQTA0X94&P%KdLexpC4s3g>?%08jka0&r`(AR6JI9|G{= zC$tKMPyskrJ0@wg&<_E)3_U5Y`$ROmMLs<+iXzpbsN6795bC!r?czR_YOz~*pE_RF zO;R}vi^Wa2Vn#lsMJX?E5UK@NJg!qN9GWT7^J9?6=T-TtJX^|OOt09wR9xlPP-I|D zrZMb3S6HYbV`*%uRdq4P+k0Bz0Gz}1yQ}4Fauupy#;S^S&vq2{m%H7u%7R!d+$VRg z3^gXxCgv;dZ{(_dKvXV{rX?O~aZ;DvKqoeCxL9ZK`AO;>R8v?D&1$5^233KpicrO2 zOciu0Y?5pUl4J9dKzCwE)upBS8AE~wRseQvO%H6d#NwB4jm00_nB|ObwU=BkVsoIM3|R%N?=&mW^ysaGxlzq zLuOoQBZA~Xq#w<8NN?DzsIL0Br`K`T7XLQ$@ZwaoYMJP+=a%f&g9&pauIyLqX61OA zltGm`CHF?nn42!9s>bT$h+8bweOxA+Oq?nQ9d^R=Q=J=B9f~CcKI(lfmCBIiCKZ$s zHN^Iq8857_&RMk#@6lhNb#$hwZ{IV(XkEg8!Chasw`Xsuwfwd*xVa#s$H8!Ub!H!{ zkpsonIc(|mY9x<})pbs1cAQC4lyFDWWQ+LCN+nNWlupNfx-Gb`-L#Xs=urKQ#~OZ< zYdzbT(3io!BzOh8?kk$tnM^4I8x$g6f|Sus1Cof}AaC7oDS44HhQlPnbvLIcN8oUL zjC>KPNe;;AsIYJaMkXrHE3KJUp7?mYIh*|glgHfYG@QNxHkg{2oOXz~TA6OKabNhp zmiaDOvKOW&yUyq>Q@vx3wNU~!l~3LK5btI>I{Zd;JK{kP zdVSm0X@9xo`0Y5O(n`;jz=H9;_}^Ajua_-ebyuBl ze#1JuZx5S)P+cJl>YHn->+yn89nuNqQ;5j%PeXViD^_l`H(3|zZW9{!gdnM~7wZXJ z>4baegrvlT7fBcDJ`WZ{wGMd zVt~L!8KN=|pwdNqmht$*u_5vgfKu#y5BlNJ2(S`a;n@a25I_=c=RgXAgiZL8=_Av1 zqLxNOh=T)hQ4mN|$Q{$bXdpy2*!@G1HyAbq%!a5G49dlX{L3+_$*@bSeUtwT5}R`}UuQ0Sp&zgqCEbI#BY zAc+s4Fg^H*rU=3#WFl20nq-;0U{1y^ zVC!Lm5D^hEFfc$M5DpFwE-o$}9v(hEJ|Q6?F)=X-2?;qlIRym;B_$;l6%{o#H4P07 zEiEk_9UVPAJp%*7y?gf<85xuCA`3p`oRvrK6*xtE;Q0r>C#4Z(v|xXlQ6;WMph?Y+_#^tsvm`_kL2Pt-49_GuAx;- zrzrRU31Ck>3OAF^Bier3yAu+lZls(?vSs#!J9j9;7Dtt2dq9kHNkPkXgtF@MLchpW zjO!rwMlFhlxF8w3wC;uk0d5K16Ygh`Q3y&@F6bN8 zlFGb_2^I#%_jE!e)aN7;-Sdr^4#Xw3cXr}iMmCbTOX6fN*yTF&3s}G63>aoIq*Q9t z92;zpXbEE{OpSop91KP*`nFSZMm8fFL*i`Qk7eGr<=x1Q zF>!TI*JVr%lRQ8V?NPpI$wzZ>EkR@NdinthmeV;-&C^GC6(J9{hVokqpH(z%l&Mc!%-24VtoEn=NO)k; zYC`cjE>x#npX*dz>WfM(Tuzkyz&oyY>yEc!CzyyIMj?V$K4?xEC<3c0V_7T)jHmavT(uUoT!<}%1=CuBJ2ZK}Tqm1n%Gqu)o?~pPN z8Bxt;qVZ;QxpLGr3B6s-IfHKv#ngLNWXr}+5kXaqfz}qZl4%P=g^l_C88P{}wpk4^ z^)*pUTSgxH%d4Lon!99d!XeFUwGtncwnz`YS%rvx$5ZHh$Z2=h=`k<8$!qSra+pmDxl|WLwSX1=k5PevC~wn@EQYmesijV%+Xeyg$XlUv6D) zo-~(qXPhypfR)NLyNe$=ud^0?G?Qyxa;f{=*b0;+eLP(E{2D8V-rbtFiTF(tj?wn^ zmvm0Q37zA+kN6Ii5zdIy5 zAfb4mxzlVX)}sec77RO(W5!~KGccTl=q@*JV zxnpG(8WRk6PPT?{sCK3A|JjM^l-1Lh0ig=TjYjx0$y(2$SS}n)5EV9uosSs1FCrVi z59K7rAVnf?Ea&+QB^1jrA?x!$vCP*60>!dJSJE7BD3+bL0a(_0jb)#avGQpV(0*Z= z27qM{@87Tt4#2XvZV*5c$A*XrU|F>{FpKgUABts&0G7Q~GU$AkLVGI=)8{9aO?Vyj z`)?y7z+Yn-!z_ZlkiUPND1mDR62-`RV{q2hV zyyiV#B4Zf=VVj*F5VnQR0%@DP7uY@kNZVlgP^E#itvVP;+nzy-lOZHA?nreZQ9#-T z@$&0;<%b0RQV@g!X8}NndE%ChuMeq-_%h#@RmioD{?ze6EX=L7`3I zBMaeU=iw6s5mWagX4E6*Tq72eBbJ&YRu+Cr!f(>He>!cuF@gX4LD*maqMNI@e-6rS zOyGZjvKtflAB&U!7n#5rfGx+^EN)}7p&v~oWiQo?nnMT)z& zGE{UN{4YktZ(&dbU`p!;PtDA;l}QX+vIBE{IWocoIet{09I0!ZG!J~u$E*wh&bpdj zV|-#4LM1e9cC@l^f2(B3U9p#w^`1Bpg!Pt-A4m2U5uLDt`9#S|muX#1)+~V#EIh&6 zTd4QQMOUdOLsCB_(gzT!G`ey5k*sCG`A$+lkyMNun@Yd%3=IekghK)KA@+ET;WuOKN))aT;YQM0u~q^j1o?#l(74nKVbuXHvOWm=7mZR2WXeyGAbA4PpF-FWJhjF%vDiDdwzijdG! zU%RhfbMbN%0h8S7ywkC3nBizHp-s_EPZsJ2_fBfBcxJ2D%c11))W~~>YJh<^dpwW& z&dasu)~-;{dS6e^=#_&40ziwrxdkoI)^qQtXbz=j6vll`bGxaAh|DU4ZDe5q&axNP z=IEL3Z9^W7*tq*+Y%~HAnb=8*{1}4P5ix0NN9PN@+H5u0sm*N3TiVEE*o~uhf_0Kp zjO%2tQYu{cIh<4nrgG+!TbkDxq-v#h za27q<+a{z<4WjST2-1)f7Vf6zdQOk4*_o;$6F**7? z(i}GzZG~mVx|YxW`~Y)lb=cI3ud)Z8=j-|`x6z#u;k4x?GDl^Y@=1+oKK;o^i#U(V zOs1HDRSLf|kHic^-jT({ihb^CLjmht7+{x#ou#uTW52Spb@`YcD+Gs`BJic@o53d- zJq4FWMf}xfuyVzdXqj{VL0S(57~}`8CLh_#j`@zAXEwJ8Fz;CVv<)k5>pg+i9&Jcg znEFqL*QK}O{0ZOiBiD`ljD1pU<=+aQ}(@KxaUEOis zg%orA`Y(=nx~$HYb7KIMUGCXMwXST*p0zAr?z@h+zV@m`CSDLSAUpCybH$8RAb~Z1 z|9XHvpc5WkjzLu>-_^!10tbeHHNLBlfN6Co8->vQNr=wZi;n_{_)zFJ_>0Iotgwsf z2*iYY;2RYRMyvw39J}aCaF?Fz=gvp^pGbwf#I5vRDTN#1)SQXa8jPb6*H=-d2Cdyv zWjlK;#DSW(B~EL0^$-i!m4_-dx$BHC7nLy>_M8OdElxnb7LyN~Pxb&2LzUcT$HfRk zqdIkdBl0`<$1XI;JZM=As(_0I+K!#>P*H%LH(0?+4~^#Kmo zqVQeLX)%>BA;96IQr1oNQ2ew24xKRw=K$lgrFUP3}XP*FgQ zJaD&0jp8y#i@9(Hg1^37V<5m%0?LkWU4D21D6j9!%6hhZ}zp>a<4|l zQUUl2;tSlZ^#RM0dY)ikf8cKI^(?9YaJM!Q;NXKi=EFM9 z!#WAVyYGkhsE7Bth7Tl%4>kV@%5M1UpXRTdQ0%X?^Y8b36N>$F{B_fI`~!deUwXJ! zbwTB5RCW1z#pU3VYHJlet_}H80Tz*}*}8q#5xjQw^{}7i`!~k`x!D;w?D`>i_kr$^ zi(Mt1ubX0>a2-|N8=x#HFijXbj5XNjEsV$&o)9e2q2Ec}8)cC>!dg_(+rXO(QZ-B` znzs#vK$;v2^8;Hc3KJLN7ZDgn{ZM4_cP2E9q-ZLx!gv><3|9hQHH4SI!W!WtW^ziJ z=p0Rt$nY?IWgn%&Y56@YGZ(`vybqyMRq%cM)-EK|G8daeoDAd1bI)4wWn?yaUz&K# z@L241g7vLehth0xFZ?NAZrtyOx2Se=H!`@JbuPw*s2J@}Wq2#jWnl2gKH6!dhtxN= z|4Hp`j92&um5-u?RO+obhZ&<&{uey*kqYtQR0V6&+oH;FiV41k)EGME;_7|uF`?h| z8LTxVwTGe-o!(KuH7XI&yOK!uq%=W`2%$6jJe724Xp*09&SPvKpPHI$vRc0QN(4zM z&33&IwuYX;E)Y9)@??{3l#tsVi`_TRh_-)4Lg*PYVg%CFpuutn-FU(zN0M`!uFIz% z`Izm;t-h--Qck?jeShX-0iTp|jzx>^u4y!mI!=Hot3|Osn{$T03(s+MG*gm>uk*`? zMX4<|6On0Qi7$-HQ>^hHH#rt6V}rmUv33H#c8jL6j}#I|P|P3@vEIYmK%v4#31`%w z$+MX8is7VGrc&m_5ef#gx0|V)K36U;^Minyo7`(<7U@pEM<1Ebyk0jo! z4f8B8ZAaA933aYtV6YZ)30bl%QH?#ay0Wf)+A5KSsoEHyYi(tJk8!m&v1#bjp1Cid z*07{=MvqRSU4h@YuaO@-&IE+eHck666F!4Vda@CtJtRd{O>N!_4W2X^6TV!e{LQM0 zYeu&)0a?JEyN5RJmJP29+vLk?2SgEVf?t1GDy>(pV3GtcP477hm5E8E`pjBtL+{eg zttFkS0*SDQ0{m_vRoOop)@~h88s%~83*$}1#IVwIOm;~C8Og&dax@=Z%~Jef5LC@TbuqROS6fhJVn z`Lh6~TBPv%?4eC+rCUWb5&Sw^EQ%n<8voAXd|_iPGEg*3&=TFsbguOxl&}ioTOJXJ z0KL2vc5B670hDO1RqeYx ztj*nry}0k^aPZazy}9{nF~ctCq30VkKM)#1y?71A&k zdBhpqnsF+aOv?1&Z{o^!ucM6&klGK#X{y0U;|>TX{OTl6k7z8rY&(| zWr$zD2E_$%I%c)y2+)wyp%-vE) zE=YBOx2Yf)_F9jw1$1 z-^2$*_Ce9UC-1;_1_uNw*kcT}jVNhD0>nhHB4YEYD4EpH24TmaA>pLLlNNsa<9Y~q974m9yCq3JQw%p&2HHUR zjuXrg^+h4NQ7Y?KRgkkj@7StDYFtG=sr)2~ch&rb`%-My4tuf4C7yzYfwBg$)4!;> zBbiz{R3vh$si=ag^4NT~tZy`F>0_x{Qo?M!l}elesb%d@Xl$J#dxZrlo|fFZIf-tr z%J$SUi5*_awnnKc>a|^(%OU2@SkdY-Dn_}ki;-4_In_W?RD)aF3;k0JwG=5I8JTV| zj|7U=`D~Oc5)La)x)0ZZVfVOY!c?Z<5*ijnuJ*)~J!BUor5e#nHh)zG>jm#0S6pWW{AE6#<#xLql<)_M<$O{~_E63{sh@2won_f^%+Qux3wVGtCXXskFOf}E{r z%!!s!scVR~3nipuyFq0{22T;yl~DTZLO?tQm6hshw_gW)9~ZyF$7bjwO0oB|{#Gc_ zbJQ>7yiPLczaIXfxsRV2lT^_&lfrOgKq7EDmStrFFYlCJ5WO~W?fwQ`lj+bHb#1~M zcQV$v`C(lXAk5Ou-#khtY&DbRNSF`L=MLK%J&15{KU`U0sB;^$X{^hHzhkBwu~=!0 z=crxR_WsFq&ajJWeH;s%@u$NV^`Y%2mP}0BkIoXNpZAp&KDfQZ>M=6y&vcrC%4dOD zMl|NA8kegjWAKS}X;L%L(bXox61;oiQ15(HcI>(1!F!*h-`O@RsNG5=jdv;s>2o=s zj^H{{-_lTDeVy8!J<}lC1+_W+Di0>H6G+;~$XsJiUaM@_kb(C{#xW1Ml$9czVBQ>;&<6 ztSY*JUtJjk1C6}=?-0Zu^w5&+Nr&@AI@q05-9gAsdet`ha?{lSTgKKxs=yzYN!)7Z z-a#hu>T=4&1LM&Ov$U6NoA*WFDSHrM_*8LAQY!G0>-rSE!{%OO`{eulV<}qNyJ~}}G zivs$z`lM9ux4r~IpPr9=hdnGyh8?w%cb5<%qskQ`pq$%TWvMU{x2e1>i2$N z<}CyRff88`G~QwxaCt|Ixp4-xD?F{?@L3 z?nxf4$XNOSkqJTTg;TU>K`dY|urRb74dY zD=(=Igs&;BAqI%I*3x`Bj<%aP8#)mxK0(N8-->?wAl7-bc;MYVeD{y>R+}0SWF0_I zPBP%suxiJmWxxh7uqdpM=dha95Q35HeePncoPt8IE((NN`UpmX>SF+|bPk$%e|P-J zN7E}rbAJS5Huk(V%;$Xh8Pm~okK#X$TP(#qr$+~eswnG$c=#zU9g}-zy;vD`;~p;w z1^c3Lb_HlM>f);{6mX73g;`SRV7rM3^ANE{@>}JR9t4ZckJ{5Ztx%r7T@V|&RG{_6 zp~3=gz6MFzX+vJ+U7>o*YaS=p!WN&qLQHRIFvOY5 zp5UZKEu&e|tJeL=x;7n^DaveEE08IPeUTd7V|%y&mV>67pPVf$q|UILDg{rQhC^j@ zBuR)PXu2Gjm2>N|BCAYgenErPPI%w0Q8XPPp5}o@ql`_dL&jHj+9%y+(e#Z>VJlbK zRQz9PlYEv>RS*hnKc*pT{@i{9Px^H`no9xw!>jB5VIG|D7M>3Scf_xe$Em5z zj`$Mkd)pH67f;Gf8Zrb=Eyn6CuqubfvkltuG^7kvxeA?(EvY56zMRiR_Bv5H;NI2T zZ7FXJrK&nzFVpFASLtFOsUnB{2)@(G*5fByvuec1r;DQ)Bgvf^FuGy<<^4jG&|GcW zV>1(BLQOBHIm)b6OLIh?C8bK$`uICnB^J6;Wz)`74fO&^)(`xaR}w9oh_@?jUm|Mz zPdI>6-ohYq9zI?}=h5oj({(xL!ITy6!$P(zG0EDk_<$bZi!L1utExY{_Y7a_HLf_a zt}7IcJCP!jTsUqjfUK8drt0$x2 z+BfKDFKQHSsI^T%L6_Nc8YpeFV_el=ZCP<|{811wrJLMCZ1`{RtZEt~E)*PBk46{`IEx5}+h#tcnBUu=SYC7&o5M>FqTk})N*wZ@ zbFhMEA`_B38P`XTOU3Wrd^9~bp^wWMinhhB&n?Ai z^6`$PI`*$C+p~d74I6H!v4j3=>rV!lkJ0SQ?pv+pWi+o5p>-4+3CwQmpqJ4D<=Fjek-xGAJIkP?b7vJebd zTsg;2+a&-&2nKFQuoeZp0L~?Y72Wie_xt87diw{4Ar5?B+rP%JPB#gX9~efo5Av6= zFNI=JE~5#pIzB_BP0apY@u;vV8yw3 zT$c=Upt%_ReU~L#%#||`@->Aq6JV(U6o&be!oUE9VLnCxD6HBYpfIdCKjU*>dwh>N zWGoGU!a98c3L64)v20Ipmp=eu8@;F=!T^O~LMhA?ps>SWl1Vot?2zXGg-v)mBfIiX z{3;o~4FM=D8QD!%+)Iw*IT`sig+;sN0~A)RXME^=uQyQqmG`y3I>;OUKdTr1AhH_@ zyP>cf3cI1O8w&ex@K@hZSnorYOW#Sk|0&BGw8*`g;`X5tWfXFi!M(4{?P=B05lH*Q z`>vNa(naxyPakJ!$DoS`1IruY{k%&t=#~g-#15aH@Le25IrJEkwKs^RpMau+%k#j< zAr&I8H=;wrsj%<{#myf~(L~2nQP68hnCaBgq|9vG1#&TCuUH@#drvB5KDZNu5?P8s zMX&LoTxpCdq2@LflfbqlsEa+RY^8wS<4cY%TwG)w&Ss?*J+?L(N6HWm3EKms5yK%+ z>SQ@Chv7SEJp+!kswEmRSF>n>#=Ss>(n2m;R9XEHB}yj#U`!F#=j0vFG6t@!Osig} z#C(}71c%8BW9@{<;*?CMzM0u7IS&Di21^Ik68KWb+R5gzZD)@we_$^$AWFuix+4_b zE3~&Q<+-DnHQ9SJqVkl89thH?hNGKOJ`IRhD`N2=78T3XNN z;)_+{tuie0c0yxYE!eBvAFpV!;LJB5%_(~dgy>SEF1*5GsG-rYq9Wc^@4wS1^t{*7 z_#xtAtT=Z}{OZR{Ua8n|8^wCf_Ky(uuWB=&ncVmcu9ysUJm{w)d+KZR_cT;)ffr>} zn-Xd(#O?Sb-?rd3KKR6B7Qsiq78ua%eVfT)bwfK^h$nd(mr-Tl!OzY7H7DE@ohK@4 zy!pH&|r(GqUyu5=KudoNK4YWA&kwQL9#yTtAHdU8{4lO1x#bY3cK(QAQ}J{s!x z@eW$=y^k6nYB4jrb(5?zp9S@%wwPVT_qUmF7#<8?kaIZqQks5h`7)};ZI-s(w#C z#N2nhn90Fw_%9E=W5Fd_d*(-XV7{swJ5DN6uWN^&$Hv`T;LU8V;Q?B&m2@8wq)p=`w?yao31F`??SZ`XVIfch*2f@ts- zKrINcm(K#-%UAlbmk(8+Wb2puEC!W`?pl2YEj{`JaK}lFBsUL2XojlKev}^ntUiN<(w*VL z@9HxkWBaK-tNyu{FLIr+LDgsS-T>XPU8~Q^n!NXZQ=gHeA<+F&pXsB01LzLgdJF^L z?x*_9{#tzoZ9PJ&i~g)W%R!kc`h)rmT6%=4&wR2C0QDKUF;snaU3v^{zEPjuc&%@| z)_*0p|HAXlg2z8sdc0Zi_`?O+|EUWeTjCO=oyaWT4twzB2KR&B$SUuz&-(TpPl&Mq z5!<|P+u9IDZ=36w(!u4~gcjhkUA)!c<+|!$)p7DJ>ZQvU;fyMYi{1G*9bcVZVZ?ts znXkIKJoiYu^6q~4{R;*J_VzN23PqJaOfDP_*mv1x<{`X0hA*o25}X1%moF#)7h~ZS zBQKjUuF8bp^ea6i`^K&~AuBvmm?a^YF4%x?5q@;v-k>3hCqz31T3x|`;8BDiu#EAT zk7-Br&z~RhG=WeoZu$~zIEbSn9yr8l1Wi5!79;oJ5sWRxm6hUQKe`D5!?El1a>M`{Pc_l*RtyOMyLcqR+`G*O7fPu%}QjWwj+gy&AGf|_+bh4T+o z6ccgGp<<#hla-9YpDF~01Ei=)q-gV$qmZ2oSB5s1Foy6M9%ZvAmXHOfV>f5<6j7<@ z&%?92g%YX9j+1^O38_jifWtG&N537OH9m>CIw|XkrJN~_oq|>@rGdjU<~0emZYK>f zub(3!qGbXqAH=_xGM1zQo+2ZwS`sa+fhD=xJx@BdtWXVog+!`EoxAdUT8yLK#bq(n zOjUw>u@gJ;4X|8SOhNJ<8Vft24HWiF=T9uPdInV=)#F;*f;1JFo;f$ycUy})eie94 zF)#nJUEWUjt9IOzCZXw7YbV_T?P%7sh-GUPmxrHLcb==Y&6CPIr+K_iDa04rMYQ!e z`26~+XTI&Yz}Eh&=J2;2dPoFzF{ul|-8~B9&tTU5=RYXxTT2_1$3wdG3 zJnGh(l*BohC0t+Rc4uf$hjJ(BXFCj@<3~^?B+6t8Qqo?k%|MFqofSo_HhVXko7@-q zZa3(T!E~)n5xkgy=G4lL8kk4&wvdpfUYepBf9_;3(hKsque%#WNu$iiiW^X48vAm2 z30{W%Rgzch8>ZuDqj5yFPe{ro?(;~F5#~6Yq+6P@$!I9SdRt~KhUdQ{yqM_bBXisT z`c@bpZJZ#)Kb26&R16z!3P0u~YO=^g>Hu{bZ?Zl+ZQfi?sZuJAxuN6$VJ9@WWibEs zNvYgrt}-A#D1XvWPTy{-{YrK|Z!@#hYp+mMX=7G9(y2OxiPlgKVbS(!eX38;2McVu z$&rqzI%>E*{mh{G1)R?nb(hR~uQXSNGv8DXdSzORBQ2*LO~xpI^RWNJ~S{A3(k5 zT6;BVefSlaW2D7b7*feBxKbyXbnI;I!^pIe|H>KxGGH6K%lyggUhBqZU=JjKnIacI zL*j`GMzh?DgH$EN(8t4WDiL!Iwo?47EMg}l%!0>4!%rz)E6;=NbU{R;wCdI*}?s!ZH2G?2+jvP|GGDcLxFqQ4l!H;Aeo@d^PAkV_=n< zFPy#aUGf0(E?}QAkeoaO*k^1%1G@mL`F18G3Mj58(AE5{Gmrx=8S)D;LA)~eFsu#mk-GRJ-k~TySgJUj z7Xv)pQ!(Lw`La|mC?!>E!;|@qNa^1X%I&bl$4wc@-cQL>Ol6NO_N1b~eLti|u@+my zIm38MWmxSUds6lib&k9FkS?5qTxk#LJzLQcIilm_cdz*WH9H6|e9fcCcn z{h!T@431lce<{$90}Aw$C5x1Mij@n!rGgcI7w8Y)$%_!(RBriJm^n(5MW@WHF;mKC zk1GATD8Ec#w~xL#=xv$1TC9#45SqQfPXe2a8JH+*g2+z8edTsC&Krw*7L}`zY_iDe z(=-Nh!>Zh?tc`_kG7qmw)#U$V;g9dr>MZ1u4UdFMJ%1c9JJmi}<62r_^Zt%b%0SYS z#s$`+@t32Mjp_}2Te~veWv`a0G%6cf;vKWCsJ=7?ydzAz?<8)#kYrFVJiG9EHWV2N}C+1leg_@J8NvLX3-6+ZbJiD#BLa;nRIpt{X~C!Vj$3#X`#;u%EL zM-VH?SuM)B?+0qJpi)p^mCJ{2O(^;c`|l`-E0pKPC6jhB$CLdUF`=YAOTcW6BpjvA-gWyyND zH1m8lGdlI+$NEL_1&y`7eI~x1`5`1VHDI#yW&FUZw899aPN+r-x8nIjiP<5(iI-Bm z3$tuK{G(a;+)|Q*S}L54L&e?Yr4sF16^)H!;oVM!$gJ5S@A(CD^f$}Jm8}XE8^^Pt z+!n!PaYjqW(-rb{ub=f>$MB}V8m_CYiEWv)^jV#)8>o9*PqzEw=$lY$7Er~=s%7he zGT%y5U*|ZutM|Tl^!!CtbC29thiLj~QYRPDed3z)$+hu5d6$-w-6h`}Ywt0hG&It( z9t0MtFQbKWD4M-G2%&FYfdB z|I9VMXNNQBJf=v!Hb80ppxY38mHxIHLNPBra+JX2k!2> z@n7SZc|aVKr!^KH$JD$hss0M-!ufX`vmJWplBCnj3!_MM_ ze@guzr^yr6q?bQ}oyC>I@|YQyc}$*{nA9AYJL{m#Ht%w{xSIgPT_xu0di3uJD2qLy z%zfC;$=<@n-IzPqG^&Te zjixCOp(L#Ou^)CD2NQRh?0yu8UZQsXzpEc(%t#PX@UMohllT3A>c_qwcP`j%oIg4R=1&(Z~U%)#OwuIn1h88{9(6oAeA9N+!;2w<1*mf zIR`z4cR!jE;YI_o%ovZ$?nfPX_oE;n?%2J7?niO;piI}ml4S2~G~8I&aag-9^a{fIM(;RbX+#)JdakJ+%>xCl}uFVy&m7NGi3(f2iw8dVJaT~}fd2~&hs%g;^h{2qvhNj~v|r7}Ch>XQGnIkbzI>s02yI+b}% zcK^-T_CN9S*JO81cGqP0zp$-DMf$JeZh8?Ach4vPBJO_F!o*$5mALboZ&8>PI^U21 zuH^bn*~U)|v$CN-wyU$tzl(ghUHIcD@7epG9qsoNkI!hKCtp2&Asf6wX~1R~70ZasMFhA}W<=n+?xjGO&T}aX0X%xN{#0f5wtH z7DLb-XFY5=o7%;Q&5o(A>I>4Uc||fo*rSKY!GxV5KI;cNsrwWXF`J9~NmEi~f`cB# zIF80v5+WV96~_x%jpDIrmvxa%9 zCUr60!$5NrHE3i?=AJ1Cb9WPYUWJ*;r9>B&lG^%=KVE4#Ba}-{OzxN7k?KqWghy&z zj?{ZBuHBlNBhPHm5tk{0gSaT9FI3pY`$1+bRF__0_kz*2T`cQf?mEdusI=#O>6{5_ z^P(RYxV{ePueww>3W&CFgDuf>0}>eSW0f*Q?5X4>=9o2jzcAFe#Az*6f_C zDo@oVNrhF_Q+LB5<(u`U3_ZR|`26L~9fjL)#@5TC$Sn(TZOL>$cF`MBL|bwbsVd1- z6LQi8A*N!^y;>2=xKfoRBc>MP_x179RXMN*Fyl}u2B=EKcFnaa+|`GbzFs`mVk9L?fnUl;W6y3yL#P|1VMwtN%wSQE0rIB&&C2_E27{3>GP|dT5Q= z*C?`ZTUn5~Xp0sk)s+2&Dyu7rjv}@2)a6+2=DY}>6B<0FsU^d)^^oCPz_e`WY#Fna z!_`HgeE4qc!Hb-%n+p$F>uCmeZ#$LE6>i7TG<}=7@3LE}%=*!(d4!eCWC}y)cvimA z6Zefr?TsZNh)b*C;htn$diM7fjk=SGc%NVW{3p0|RVZ|9alQPrDCtt~sXl%6Lfu)m zyTPk)=k4Pz_Ijm^1jgr&%1b?_&52rs{b3ZB)@;wm#D?nOBLZqpO@XW@5iQF_#ix z_oyhRf|aMF+VnvcNWz~|-^~v)qBHe?lxMLp)5L~1BO|c4nWaZM6-XCW2V%*pq1@CK zciuw}U4OpvWQl%+RIA4G?(W7#zLv_Z`z&tW8qM+^{H{IUIr1M;ZJsG6j}DX7K9%0h zQbE)1DE)|DHurgpDVukaD7Dtzvclr-=WkSv^0(h$?QY-vY%%?up!V(80Bb(BizxyO z9``h%UOp0nS^U^jx8mKWR#W(McSd;J8V1E}v+?KgM(!0o9^CsB=q|XLwOXC5x1wQ1 zwV09d@YOpDThC-sv4LO=ADT9?U;@A-Ex-@a=NwTF6c{ngo09hD}yx7a`SR z8Z4FBFx0Z=GW31%JM^sWcI$qy!jJ5o52!pbDH6>&NaO*=cO-=GCO>q*q})e9r$B)) zsX{3ZuJ*5q5K%}ZC#b;)k8z|azWh0V?InDkh0mFjiq-uXW8L5Q4*D3z^K}qvp2XXF zPeowa8jJ+wG=1T?_Z`5!N*@6CsK!C7MG^q+wbY~YB%J%LK?t53LgOXUho8$ zX$Ca}`v4uE*#PcQ1OZk5H~{V;fGH?L0NfLp#0Um(&n^PMy$S&L6eCGRyipw^`vKfz z2e-I*3bKd&#y#OE0QZ($yb_AR3h|-j;6NDeA$V^AxMyc-qUisEHe8b0ABKB*;ax8O zB<}cP?`XvmxWy8s#@>AwOF9#KjeFO)w|{VOeTVlC5O|Gy*SL3$d;be@?|*ZVr|^#= zZ?;swX3IC=zWV`O*ob zZpAu*AAjcKGxaNx7gFI?1&F-PJ8IglmrL05RIH4|ipJ8gC2VwRUx5m50&{%#B|^T0%w5xa5n1%=2i?3;EBN*dfXLe| zlcU^F6%PSKo^5w_?H4cnVxy4#;b0e_^s>;JGk)c?b6v~fSDIklx0TRl?X`Q!;wxVS zz-}G3q>fO@K9(ZR=fvT{ljBk&87BPCl?Evc9W&--KR;Nxpmq*5^T{9I zaS_ZCF-z*`|6VPD^ppH6zk6AXdRD%GsKuG)?8it{ZqUQQSo!+(FQVE+4ws38{ zWOd8JXo;=J6m6m6Jx;gwTko~4Rwp+h+^@EqElI!eQ@1^huDn;VqmjKoO(ezh)`>Ms zbLr(|xBsble#^Foj>oHM@~k@6b{jPn0l}q0lZL>DdtnJpvy09=Z%g?6v&yDd$%G5Kk z@!xcGK|7wN{MxI(UX9%ei1J8Z*lZ~C571`K2BVW|IuLFXRm#|Vc=%jG; zLpA{o4>{NDlu6{v%J)F?3EQ{%H)N+V@p>cF^ln|hu+LkW)AmELe>A+qV<*HkhOZ6K z*^;g)UW&YjLv9~+T92UK2(!KX;cP$tqa(b>Gk;kdfWX!U2y9p3YXg&Lacac~%VfXT z2G}px29V%Kc)p!~Il}V|5n_hT4QToRM|cnhKundwj__z&zP>{6ipnvd;W2mu3u!KU z10l^lAf!3`h|J!L9SCV6c!XCfNFl&Nng>8gv&{e&(ro)3()?Ku`bCHvu`fy!i~963 zq`B`0x(aE&(SV0Ehds!^u#l$cI4q>O2@h$~pyQ6xqwrpZH0^fO?Dup+2;9L z0~XSJ1cWqWz=u7^Kqn;-(&Pj}ng*&y22MQ>Z$|8ce}^hE;2YW_96(5u zBBHv7%CO}A&Z5$TT`~rkD6^%_dLNy!Qx2L=*C}AN@ zH6WzP4hv}_qvJXOAK}( zuekjKM*UlU0NBn1gH*CI=Yu~w9+Pfw<*SZh9BSzd$+x*(;Y6I4^Sy8LdZHB z$3ih0tR z(zT@%Wt!EN3w^a^Q*R79!pLOm%4e$0$4d43>ni3#1aGMdGpv2^=dwN8S`bjYo%0S= zgJan^6mh8|WI`HAcUT@BOpZ>QB}-gRgNfGF+)Gu6lHQl|*!EP(CS=#%+pObU`VdrbM`JqJnX7;n1`-WK7cAI-nRy*)jsi8-e8 zSv8Nle>2N=g(f3jdi~x^XumP83~+apZw8*{!==7U6J*mwS+@_7^E!O(xxn{KBml>c zk?SC0?#Bv0mOHt3kTHOHy;K0^1!Ep-qa-qj#{z?HD3^n7NR~B9PZPrM$V%Q6Up26Z zOWf0jB)6*;4kcs{nLdB~$6cLzJNVn3cwr|6%vVnn35?bQk@=8hU=1wB%=xhqTb?24 z_`e%i8N2uRwjoz|cR?#dX;FwE{vK2P|PXdg{N{;4sb!T&egVM;glz}Sw2 z;gap{Xa8n952`m-gXy@(TT(4?CT!wAemAgCS0n6&`-Wa)5{Sr=!*VVD_j3 zY=6n8Z=#5(h*-Cr`GqI*Xa`GJ=@fjF&{6VJ8yMAF?popiliY~JRfVJve!RE^qNWtp3QeZ_MsWJyIZ64q*?HZ2g=A-x3>}W3s3GwON=O()Ets7fFzsHno>?n z3Zr{0qFft=a=baS)$}%250fWWFivD7Y?_sASI4)cYBQf>S+UG&Q#Z&*zsB&|)W3N! zMU26d63Mz9GV1Qy+Z|G+(XuVe<&i!_pkKrGz=o1@Zh8{69#zj~%~nHTex1Dj`L^W? zqa*%>oAY(zje0wl&*l>C=v>n0S~g5Nbijv6H@v8glii%OGJbrldB2c}A*J%|QxaWf zGqNB~Sij%mSJU$rD=C{GGxWhu>Y>?>ko^Z)_rjeT(p8OvJ{mrFeUgGZOM>yNdAV4!OejrDs{k zK`vf9@lgKh`bDR%>Yu?O3ZCL6?U}ys6e(27wA&LpNVld7kNOXq|4?~^*c(dE@T)OV zLaWY2Kj=L9{y$QAzwm^n+fZ?jLI_pc{9{5^&?UzXp2||9kRup+Q78ps-hwWIaDhT# zhVQ*pz6QwA?kG4*XrdUZ^B|6CUo;~G2x0lJ;Kesas9e?HbJ`Klm=Gkx3_B-sLw5EA z^?RRgD7O7pd6$(d-+;=M9G}a|mCx|XmF6OJ#6*-GpmJpxrt)wJa8ucl0hI@|FT=l?PUVsl1dwRUS~e@>}KE zd0x&M=)x;kU@8yC2dG?;g{!=J7oUqiR30TJ4p6yrsqzdlal2tEuhcFAs9gE2@;Kls z52##W2REDjqsn`QzG(Irl?PO=?0W$!&qvW1PV77p)4ch6&F2>OEJ!;DKeK# zqfpjP8pvlLdnZNj>_C?tq0S%y=~JdVNO&McTcZwPyiFB=BWoCvxU!wz9|>&_cO?Z zq_X5q;+A|>*^*9?W+|$R%k*JlkdB2&Nh`lBiw>{^we&qKi&8FMi7%Bd=4YvvuP*CL z$k5>oo!l@J|F~0@R)eW2XN0d5z{-NVW!ch{OY^2>)=K&|Nl7O` z(%Uh|9Vv=_W{AT?g7HGSS%Fe(Bu`~dBy?L2e|vB=Y^%mVZudxC zCvI|Ut2T1H;>h(T$O@b0(#dVi=^##3`UUp!VzgsGG*=MtSeb1IJ;)zn9yTqXP*bW& z=mrnG@y6h2V+u)=pG7))S4+#L_FK=*;O{ywH7!jf)>GbIg$>b(oO(~Rtb^HHq|C;C zJ?P9NUyw)p;Z~EMdFR8bQl*_E9iZnTi{#ukZ^HH5*Y>b4Y(X;X20?(HgKg58T66k6 zb?jOhsq}eb^^nZ0;r(IaE_sK{sz`26&u5Vbo7z8O*Se)3e5ej_1+x4&>8Co1*a}J2 zKg7s268n_8-zI(7;iL2DgxIYdLX#l#CY1DXgH{BNsV(#Byz#01DV&ZH!$0V_mr@7a z3aj;ZS9tf+^nfaV4bA*r3L1F>-XAob=XIBBy^8wnjI-{ zc=lcE#Hie-NQBqqdCIH3ww;E07VjbP2BVO_|7BCiDIPxjK|*qmh@(Ve6Oku&9mm?J zOkja<-KBeI!8QW6fZ%uT3l+YfZKm*@i%Rw!K}mlp2+dp=7mclpxz#qxR(FZJ$E}C^ zw4&*V-;ZaHk1=)_dh|y<}yc-^C;&rY=LW@?>j^Bq;KYnZUxi49ar?r*3 z>`u`_u3vf2i{g)tOj*8xS5Y=At)vb8Kd*M?HiuijsvVTTJ2J(ZxI+}0R|tpBy9J;J zG11Md^a>Y!I?%(%|1<`U{@0F7;n^!a2O9&=DFVj8J%EbLwm{g}QKlpdln z;NRm11||Tko&7O>fCC0#t$f{;0LWeLgMsmbZ}eV*!`|>wa4-OCG_BV}=5-1_pAMF=3?k9;nq} z*|2_0@0cPtLA&6qRq$|N{Gh7H-F(AaVJwLJgCBep+@lqMwPiz-7+)Nd5XtAhu-xV6 zkd*q!`RT~T^T=hQs1@F*Rn4e1*Qkw@sI7*mo$08(^Qe8I=-io8q5FN&Z$mUZKN}&m>v)Kje=F`x- z^*)v7h~Xw)t)-HJ$kUC+$#>GoaWS&WyB{Xx$mTMbiT0VN9wubU(tGoX8U|>o$x@pkH&jxxX-tnILI*UNROC_wOgXXM_2Zq!Q44ZO-kNiM(k&Ae+<;;fiy$Cw_KmUfnQ#xV;lH4Zd{;m5vg$p-^KFaV>Fgb@x}?5OX)R*|((*70y;r zR)dFSB_G31YKCNNq<|RZjCx#MZk3IO{kGtOC`~#t1O<&D2a)VhU88k^IAI<*aUscX>=!c}{ zV(;H2#I@Sw5wjYboAQlyEF9FP2`z6lz41!Ikjt#WxmF1 zfLd=n@So~!D}3VS#ACHFc{d}sn>&$A@3qia*Zm_VbO)1>^@j)A6Gq)Usi|1^&CpN_ zm$0Y3-?;C1(g}OpDPkP^L4gDRXA@af$ske z)_ii&NT!92$PfH5U2$-gND(dY7DE^V+K?&AZ_|`2iqr^*B2ge9n%vVu!Le3Uh(>5X z5oY)R7N9~U*%!V=aUr_-tL%(8WK%%@Nz zWRf%^nq0|N3EtQrYSTGhWU)fGp5=sfG5e)UO$$lze)thvoYO)H>AbbS6f0{Wa%-j@ zG)IUV4o^_heE}7=A(vMA?oNT+;Wd|GgkYN-G<9D$G7%pdM0C*rcOXI82_z`nFc8pj zE9g<~OoM#jHJ2Jdf|A0AbOe>j7b*HV#;slq20QmqLNJh^yxR*(RrCS&4>kyKlh~1O z_kw&4l#P5HNDsWiD}Bff(HPn=O6|Na%mR+kP_W<$N)QmBT=ow+^F{*s-1`8ge2Xc; z4#X&ffB@a%u3KR0N$Z0Sp8v+s;7l21cUA!RcJ)uHC_&6rX~C1SLlZD0km0 zcOPj94Oi(LR5+}kVGv063NxtzQ?M-<{KdT4N$lN^6TVq;sdmM>Zm9TO5hMKM0kQSl-F(2HF7#7a<<_=hP9CE zn#*fSyQZ{jO1n-_UMDF3&rMMNe?)1QN-d8pHK-?T!#8amLC0J6o*!rmxhyOOMk$Y|j`HM0 z2wwTo@E#@ahp%z1@G5Cya`; z$tnpus@75!o66M;(o6=xIRpb0x2ZYhmab#?bFr-?IIJ!uUp&D=Av~bFj^pje4rsXe?OXI$73&J`j}Zk~>1v`gQNK`J)WfQURT))@xMvjY(BS7sBo{*oi-%cro~Cb%v`0f9?dFC~ zY(xpps>KqV+Nz0*A-uhx)CUWZuz;S~TpOFP4 z(Zkp5y+(P3Wvlo?1NO*+f2Ds}eEO~P?SgF>Nr;Qe=CbHbT$0;&v8Er~K6NvQ>MIXV zS=0U6I2pfpnDiuL$L!g+rjwnQ9Kj0-`a@@KcK2`Y^^yp%!S=-qf#bI#KJQ;m%V?LB z_7S7m{*I69;v)nbw!|*Nj|*uqr3Ra*gRdAsk8*Cez!H>M8-FP{5d#WNwEZ3$!3$2d zkwckOm*=kfO$dN~6VEYfUxY_E(#uPK_M3cv?CK5gHwl8WVNCgp-9i5x@KMN!o#?6e ziQYXltCa7x$FfbB0s}N=rDdK zBE3mIz$DvUK(bLNT}n36jVsC4;YJ0QY^7768FEgKW8+{6ozY@|Ga;hF&{ z!CtdyxIVCQlK?=n?E{hx!H0q}2#{=_yD-dPiO4WOvPHtmO~OeI}1kXNLBGS-A5&V-TRFWDDFEJ8sDz*?Hb>%@$DMl{ufKO{|dhC@?h}09>(X~DqxV{3!N}I zq)jg;A&Y72Q*S&>tc;)~leLgKsCbanFkr%LR??_q84!#L+ZE`2ud{WS@@Ca!(=#-d zfLsinGNm1-$4u5(TO~FB`I`8eM7kdfP#76Q$MH!+&Wao_T{=I^RIKocRzw@F6j9;G z15J6yHQdZB=vblnRrV2moy*2z$ZFJq>F@ZaIp9ZymmMiXIbOUn0Na8)yn`OWGVJNNFB3u71>prSSUgLH%-$E|dS7~5Vg|;LhUEXR|g=zB8{fUr;67AVo0?LVv zRPBaxwX5p3cx?_0-;@qj-|9_d!SJosXrF8ClcaqJ> zsCBdHryNIX<(*rYS&lFpYSN4=WVg%iV}y6N@GHDM`>~yk#H^|Dz}Ys46~ibQRjXN= zKq;Yug_&*cY0v#P)m1;N^F^7pM<-dUX=b3-9~A|rk6t8K!okl2-B?9BR( zTCPwHn$lIhwqJ9hYqlnt_UvShKUxc-Ccl%p(7Z0&{LavA%{qHm*OV8{z0P0$RMUKFzEu7ZO%J(I;sG$=#d!?^~@zYcsaF z*}=ul>XSP*5whP^Cnis8yE1KZ(@N(+e)gv0tOl)tbMs%+w;DdlF}>`kYDE4}&(f+# zXMon!*-_|Jc%i%D(*OO%(g}qK(fo@8;Jod2Ft0Dv+OFi|_vOMYCvPe!WmHqo;vTDZ z0F-BpIQDCksO;8ApsKfhcs*$u8=BR?Airb%Y48^WrcuwGpThC|x$m)hMxtKIQ{^@V zuT-r$btm4pQ(y1d;LKfA1F>wNl&3hR^}+7*WW&LL0S_9%T`!os9-x5k7azo`%|(Z_Z&2oV9MNBd7|YB zUZ{Zl9pB(xmS023tqqVv-8yeFEsIEs*`wrhyHXe8Al>$@d=yhGdgJI29m5v^CBe%W zBwPvR6+!}};wu!yy$~YnHe?Rp)tgPf{5Le99LQ-i%ja=1LXu)&cKM7oYE=JEGLKho zFrWZ)b3~z7*5+ZcAuHd>KXsmI82X<&p|F&>BE`Bfzx9m>#$`@wgR)OArq*=IyBS6RP zphsc4vT*vau{qyAEF2YJ;f6i3UHkwG#|~JyO5e{t$WXY2qXjG+g_6;-V*~xoa2)V& z3pea@yEhO69fcZh;eL$+TXTU~8oo&OzV|5oVHPeXu$huF1kiBhmm1CvuHlaT01Y<@ zXgCBTP4rOdUbp#mFA9+mz`{uY7EaLzuy7}6xMqNb6V}gY3j!=$Ibh)^LIDfc*bC}4 zV{b+e2Q1t$j1g8&we-Lok<_}3Yi_XbD^Zs9u5A^;0Vtd4pYT`@U?ix56G zm!0DNMa6T4M^nzdJnPnqfHO0FtI z0@>{u2W4gbu$ONY@%Bi4bdWcC)|3BFS82|Uf-j-Mevi%|L*CzxvR@i#z?wz0^dl)G zd<%sQj6*$Ej=OYW5ktYl8%?gD`3K6 zl$lACPe>SbV~?~DGjo?tCg3dMzrn!ol_ryeTAM9sL!|V~Vmxn;v*b(ZrqqkZ=0bj_ zf+uoWPax0LibU~smANt05~n8eyiartSs|Ly8k0F$6FL^O5bek*^~_do9eXl}Zm`Bw z$|Amw8$Luoa7rT)dZG=+f*AN{Oec`5Ylq%|7)#F_W*$-)TIIm-~rp=~&-CKL@qtL=;0O zc@(pdU3K{E3*5L3=E`wwT;90Zc2McR@fQ+&z7NaqE&p-p+vE~%<@D5|6Sr=gkCu5f5pizBDh` z;bp2m`S>L0CEdp#B{WvXkXv~#^KZ9oifPP_yiBYqq-Wi1wW#gSmFF%JFxiYSa5v10 zaw=h)u#9L52G@mN(CC z3QRjrI_C7#*n}(UJe&N;llvxeSH$Y(I3Kn1TP)8V2V0%F@Sv)O9wA$HCmn+J$QZq~ zljjfs?v7C#nm)7Ig6EoY7WkHg3!4-NetusFYc0*8B)5O#Aka)sgC2+`n8g~~`}y9G zvJaG8em^X|cKOb2*S=lkLjondR_X|xf$+(F*g+g&`-N{9*S$Cy(l4|cZo`4lBj~>F zqXln@K{VI9AWS=Tezf5cajuioVvjmUb{==n7xu1%3#%^{8uQ=ie=N7k6kOOd5V(n( z9>G>KZTi@*sRiTAX()5Y7~p^W^s=LCZgEiT`tBN!k8i8%xd?{!&=tZwM5Y3;~5DD9}F}OCo*+ zPhK{b9Mg_?z#B`<8zpX`c0_u2-c&Sr^oN_H#N2}Qm3UwFm5jmrO3I7SD-uxVVSOdA zrMWe@og@Bj=X^*$_yBf}8Fm7vaB1gQHhi!8O57j7?cBR55I)?_L129)u%)>S96yRr zo}!BWzwMl`DPZUD{OcE@-><2r61Iqz+Zs1vpI}QU5?m0*ZuIG%2a3cXdXXkNg=N`fB96zkD#2c`4 ztUN*Knt??w-kWH+(J(s~2-rCUSYHWns}~H|xwS3~7nq$32kcxX%+5uSa(JOSMl`|f zoNu|Ahamga(wuN4VCO!Xc?J~wD#VA7g9Bi8Zr^hjuyY1RCW?MDG+~m|@TIxDuo{;? zE!=;!C4Oz^{?&HwdTH*TDC*zti|grue;wB4(Q#Rte~x@yN<Xw(lq^$KNUUSd9AQpI+TTM0yVq8lxPO_kLmq`2aCDpoab1mJjTgoWSq=Ioh z({-(6Jxg{}Dk;+wm1!d<0DEg))0d!hBR7Jl@$)Mq+O3WJ1a(Ub_n08s&4LW)EsLB~ zzuL{B{3J`J{{}mEy&?X$6S#lV4e|f#3EY3h&ixKo{^wXnbDMUntzZA!VRG9oI@(iw znQ+)Gn;~$^W+$Vub|~m1?8j9kHE0P8hdWWw!7E5U8lfahiZVx@4xEY|rESQrb5+ks zm8PJY-jG7ZG5sK`o1}ub4pl9BR0fgHgbbNgzs;T?5=KNOTE2EVTVI4O_H&SCN8HRPN5dGjOjTji#(LxLYHKwCs zSVsmi@|l_rCa9H{!%{FgyO?f}J4sESFf)6FuN5mh>GDd=OxA^XV6w3;xuY36XXcoy zox68jB2BAi@x)KVny(;{Ch;{O-9u|JrTX(E?y9|I^7`>w>8-)IKx)4L{kS#oa%e9|#aZOy#Rf zUIMh&nELJsDrZJlvkB!h;z9KrH5&1^RBtS5Rl5GSTyY1P2}G)ashwfBbFG zEa^Cxal!n_v%5n+lQlZTky;YLcgGwEYW1Xk(hK<99VtR}O1jXscs!&%Y1n;|^;pd) z$~f6D*x9n&(925U#GU%RzGh|e&nKGQpKcAE&|Ox$xF@=T>&~oX!+K~= zOFf@iG2t8Hh|!99_(san_iK(2@hu)v6*WL4qP}_%wyd6Byz|T=tHE6I^pz)EE_cVK zCqhTJxr5IZyrNGU9tnweM>Cfe)JvK|Zc^DuDusj<19ZfjM!;V7_q+>^07zi;o_c z;Yu*4`@CvbK73Am`Ril@^rSMnWe2ES`D;Dp*+0#RD>naSPTbGU?f0BG6t*XxlM3vK zpMn*Uu>PDA-#}hDh0lq%{gfiT2cHvX+5zUo*$ZH;lm=d8@PWC@J@I2;U``k|Ftv5L>hx8mI0Uwxq0c;om zl!xRJ8{78VJlPBS=gfU2bF(_IwsBZt^(%d!W{i`YOx|Q&?B3pLdsgQ%Y@hyr_z+6q0V4QffI7YgFr|eFIOUDGVk5l(o#zWK^@sa#DuTiAGj! zRl8zVU8Y5i#-4RmH(Ps3dV!n9?Z&Epam&dW)6-h>$cj+w zo1?Qvb@e8=6{4!YCj^EmEk5_^6lWE^Be+o!8W0|%g&Tku_qG$Up+si}I{9uDyr*W* z{CiCx@X1`N_GBYr&TF!0SH`WmuTdI0#i$4px7HY7-{-i~(MM zLaWaaj@7*KEtj{0YQ@fU=K&l1#!j+oFqc>zuk5^saFQeDF^zE~OTDxF8b^Y{{AZMP zo*q5#L$H^iDVx7qnHGTpG;Mdn-p7{DIxw`74{(pU?VlCvs+P z&eKn~Di6Caa)OJj1)ikiju;Xgl( ztx_tWw@(S2*)r}}nOJ!&R#ol^qudWSKayEW`EphTl2^}1n(v5=jb!`Em<<>^p!QKY z0kzYvuJHTZ^5R(!bY}PMkFauc(CAlmMxf~AWJ8qgo?@&dm*d6DjMvnJZXfYlkAkw% zmT!w)ASh6aB6fpk9bH|TcU2rg++I(S9qKLP^>?#81Xl%n8iy*P94nr+tOAF1yzs+1 zxiMuzhKZ%7rt=l}M=E-Stg^B1x_5hx%>_ch@b9P(+&E?2nIy<_M zD`%(T&H{IK)l;C`aA(&6qdE9RT_u?yi`by2qub9Pu)G?!!tb9U_#?kq5xgE>2# z5N|Tsb==NwDFDudwf*&Q6Qh9g_j));Xx-A>7&N6X6EK zXzsVOlYu)sE*Q{E#5Avk<>QMU}csOv@Z^p^Bh;0z(Bggd(!&vC%n?Hifw zgJ(KJB|E@ynhSeP82uk+Fs~@@n&z%)?)swc?>Ki&bJsL?9mTwkV*bCZt^A*Gc2z>a zm>mth6hvD4FfN`QpZfVquS8)mwj?@mQ3oqTiNj7S&!V40kyZgN>T<=tEU3QgG0^8W=$OQqxdk1k6)4Chj@?uwpsp0dEw|wEsCtn7 zao$Yz>dr2uhz|>s&XbBOVPQu{z>A0EyH+IP9d=*D)|g6M<(IMqE#^<@6Ge-aXfrgZ zdqL<-I7C`2`3x-#59LmViX@B88GLa>XtWhFycrA7^-2m_A#uh`cqJFAmIbidN+i6} ztpv-r<`&~5hED0)nRnFGj3%_bYf}xK#x+%xC)KhNQ!p!3G#pFEoIXBqbHp0caZH_j zT7ge%bF!+B=RURer8d{8mYMCHyCw*WAj!*Q{Fwsow8SIlqChp3=h11?%1;UGBNobo z?r--EF__>0umjQAfimMLx5|S?wTHZYwb}_^CUt zF2u6jo&y%e{7@4pY9pn}EVxckU;SQ>MgPchVa+JHq1UO83oQ-51$40;h>N@5vOgIrV-TlR&1-E)2uZ`ek-y3%<3mWCi&5Z%=X!FjEjA18-lYM_8n%I32tzGbsKbOt_m8>*kE$Y+M=*i2lMy1d@caO5(MEuL~Qa6Zlx$10Q$UL9+?dE&y^xJis2eEhCUU{W|WERFy+GJdvldJyESWR1& znNYpDs`SiF0hKxGNmHV_?b2OqM}ZMjsIzD{31!njI0TclUcO&$&oSP;ed|$(Ct8)Q zR)B}$p*rK+RH1zvyvFI)xNPf1J{&v`S6DYnCv8>%0~W)w6l=pfZvC(Rc=OM1F3Org z!w4v2qbmz9?c5WP|r9$JTFAkj zfJ`DeK&`Kccw3YzjGAJ%lY}D>#}y&q1T2QnD*(X{0*^q)|#jKnamXq$O0krKAML^BvH= ze|zt9{^$9x^*sCR=PX{%yqYyHW__=@@6UY^;f4YnH|l%Sy}aQ#4uIoaU>qlu_B63M zEO$Bp7_xi{a2y22aVG%BnFN7?VH}6_0o@VcxKY?LN;1H4H8Es~{wU)ywE)K@1QquB ziX{BuxB?i*z3=t&MT4juMNlkWFQcgXj{+RWVQyIyjQunU9D2Qsf*4&f{o66{U(nnw z$K7(=Eyvw*-0d>T|AFr1t$yI2x|jc#=?DHFaNPfD*z&)h$|-07vV%Uw60Y?AAuHuV z#n!6GzYU+*y!aHo$s`0?%)U9PQx+0WW-9r;V2Os8KEIQ~-!J#kH)K4g44U-M-fr(C zySx*{GJ%8h7xm-k>_~q^8rUs@inkUO# zv=Sf7Nlw2RS$`=q%>3j1mW~X(c1Z~DCnMRh>8>~HHOxvoIb~bA4<*uyk_bMTNsrA8 zl&sg04(~+pktU7!o`@9W+UjO|>0^@DXV%0)9l7$OW?!Yby?*Ri9j-p8{$qbCukbaw zrN@QN9K~eQ2SWy@ZK=nlbo>>40Z!WK7o}^28%@VjOrD)tDivi0?N{PgO{`NiX3glHWY z@E{~CppiL$zjI5C!<{(iF{;KZhf9H?PFg4Hl}8$a`9KAt~* z_<2z68Gd@}r8(i;RL>R3cW6d;(b8ttd8N&iO02Ni7lFo>UT3~a*~zvw;h>hG*`=e5 ztDR+(2t5sZC$5a6%c(~(OrPSPaupr;=1mWrj13l7_aY5jN~#FejPf;XF1ltQmnpSp&ysEV7?-oP!Zzx6wBb-?kqf8#IpS@>w5?(SIY_)See<1;mtcN906o0~ytYSa^+a3U3&NR;Ncl3k#+XwAkPpet+< zer)4gN;2Ct0wya6=<;c5{_^XsSL0D!Vt{q)*HKK*t^>o=JsF#U*Na{#R{>TKoyXsn z=$gf?q8^^fTzfq8!GE-I&8*uxHNm6?sDa3O~m zc{}ieSC8Z$sLoE3>o-;sE{p#1obMJrb(MV)ddUKI5V7IOoAVPfd*JuEAMea6>1s^# zqts%$kN5l5_9mBKe)S&8PehYtm+QVMcRX%B_^!!nI+2L!7R~*0G#mP(>{Mw}_@(Op_U~RFFTPwrPdl*Q?nkIxE|LB^>pT6I6_roFS5%T_+^^7mo$D2q%Op?$h!O*>8=Z0u2Lr;PK?7-huObZNZN{nB? z!QK9ELHNcs^mSf`cLxCUfgk|%pkagMgOI@kwg5C)0QxvoZ^AoqhLGO}cZmKn z*U&dIjl*~ieP00RE4UVftA>I&10@r}{v6y{kisL;{|)-E!vN@8IQ5eOpl?46fIcPx zh{$O0wQ~+82nTLeANS&H;Wwjk{GmRwjS#=c5OGi#?BcFd8K6G54L=$NY`QZXwQK70 zCc=FVKwrmiLAd^Pc&7|Np9xG5F6SBXDkHqDHwcP~TLeI#NjNbj20n0bCmswkjRc?% zu*!H8Mdwr4 z!JT;EcL4f87M2O2yB0BE^H5lLw;a>olyLWR0_J%FHgO`ZU?RR=BB4(rQD!1ZOCs6l zM2ho75OLBi^xZ<=E%e<&-!1grLf?PP9Ok<{8ut`u==nzJD=3Yn)!x_y0$#%aqHkZ9 z+}TpA0xIt1>E5qjaCbrEv$6z{{e_6)qCz+(z-4HJ+;z=+~c&AX}sK^;vB zSY)gkN*SxeSKpXoDl~VK3*NK+ZjXLhRYI@DBD~(Jj@rWi%Axa^|1h2EWv&=z- z&~^@l!ZaF&?fc2Vt5QG8OBhG3M3GH1z=$~Kv{Fm;*I94B|)D`?g_S#OK1 z|9AO(dVl)D%S}b_ckZW54TEiWpY$|(Bo@3z*!Z=D&Rn5*0Fp%O#Ggm|q%D^cg5Vep zZ>y0YT?RrY4X}|lJpLpVp2C=gqepyWOn5G1P+qM+AQo*DnN7=iZwMm^1=NS|f^5>Z z+?zx$P^Jg-VYU)N^#?c%q7FD?a0X8508`0NO)-_QEa_J28rXTC00FSL**W==gr~qF zYx9pV0jyaC`x-?5Fc#FnN9%891YRb>Tc%uMH-hMIkg9d+_Kjh+Gdy5tu- zI_0v;Lr<7$6UfV~MUnNxPTU$^6gy}rRmx42XxFD9L(}ZVDrbieU)I-qXxjRC&(3c( zHrB32^9T49Erg?&2@FVpVm8bdwi?0NY|>mU@jT2cEkZEy5~>Seyi%#5B%t_Lh2xO5+*P|T{|w3 z3X1Y7GJmo}Sj{3LVjxEj6^jBvo>kDlQQb6V+iucaW93ezh}@$3V~Tf8 ze+c2Afs^eu*zBe#LqcsZQ~?~zb-~brHI^qF7W*GU^0cni(~GMtoQIA3yi*ca4$?N zt(T7TL?ITcDQq=mk@y+vAKMr>j_SB=O4psRR8tCm5Q_LY?LJ!HYqo2%^!;a&A01bP zb>WuT#mP*bVq-mbtwSbH_E_}~-Wmy3hXe78l(7$dJ{1c%XDCX~U-x_5%f4{b4L2BH zr#zMUDU9tqxHP*@N87sCwr4wNK+WnD>j19M_9(Shpp$Hl#D`LbyY(&ZZZeDmNKGh3)Oz;Pcw=*fnnpt$)}##qzqhaM zLu$HAGEq=deP58$p<;8}MAAshyYi(+<%BeRV()#1#4vZByIqJ#+!y*347IN`CSSul zZ5-=nJ1J)mV46oKB0%PPT|pZwG-j&ox`KJ_ob&$J`sEap?CtW0K2M1`L(2nX_olVK zhj)Jwgnyy;tqHzIvxdW720^97>A^`@TZ+q&L=%CNyb>?OAYf^rrU8EOR8JD6;W|+m zkI_IDSYfyc&GUTUf{DZrpHBROKfEqls`|-6Zi1}_t|%v9aTaROsT|7hnD0xu%Mj!}`Y zt_Lrr0qq=ISnT~E1kRubi`UvY)iBCMn07AfX76&;0?^KBHNdoU-N4@EzImQhUj$#7 zcYl*V2tEQByyON3FR=rG!OKNdTn(6Z&Ljr{)6Qi8gO}f6+PRWGoJMPovObu0ZspWF zvlr3*&*0^2VDJ*#uUsd5`;^CS1BdZ?@UpH6rkxYeMnSRB42|SLyw=Xec>DZsoO6I6 z{8l@6J9v3Jc=^wqb~|`^J9xQu+p@fES^oE1mSt6PqlKi=x2!%q-1!m=x?^+>0sKpQ?wOTrg4m zO5k( zpIQ{a!0dhll(COWGXcpvO(XB3&WdXionSapF`|wrm^MjVxd`6f908e5BLB~lrnK1d z`KX(;W;&inG`asj7A`#}3?HPfQfr{`R@5BXApyJg$OzO5ZTKZW@M&0ae&VAO+(X8u z>XZ3(uHn{$pGq00sj*J1Y3Zw>q=9UwMeZ{xWck`q<({R^uOC{TPkA%Ur8V_L-)Oy@ zb<489n$pwA)Gq%(@Yv1KLX+1+r>&7U%VX8vxIJ~+=`C+|Xpgq(II*r8EuTS5^*Y_+ zPhA^n?Xoy6Ez4IPpB1gNwX;*Tt*d=?tHP)1f~32Q$o*z5 zzN{t++gkHuC$E4tO6Q0d29tq&j3P8(IstL`dmA+w-KiR`p)vTLzi;LQNEXbePMT$Z zCvF_CTN|?2yyFnW(I^1z+&4B~y%$Db2#b&~DiP<2=c~z}iVZl) z__T&!C8w>K*g$hqW};;NcXM*xWDmisU1sq))-D{}-HaJ4%w3mi1QGdxiVP*E;-XmV zyRyPb5j~X_YcZW+%ZfiTI=F+sKkFS|rqI!?d1R%LNJ(ZePIs=T0Idm_{At0!ttTQj z<(jI6zuKst&g@!Ho3Y)zdhYI1Y3w-#O&zSt>behZ0Ic;~p4T`+o6x9DQs>PucA?Qy3YOBAP1{N$p~D~1;cijZ*$7gXL&|B0< zn>k|JrIXDc|0{+GQO}F}2_qV`b-QV9}?(ai!28p1* zyT6xziJxA(zx&!~&~Dt{XUBm1JLB5@oeXn-|5krTw#y3OTwJTaKZ(H9-!04`IdVjR z`Wq^7kyzHz26KOR+_=9xzxM4vszbXQPjipuIFix3Ao^VA9kp*?$YdMc>1C4ymNuL> zd1nAjIe_E?5LneUfo-7TrqUx_PX8t_S%AO_0{%u|KYGy__Pt%x0fa(E00?X};B_zJ z=rw_z_ToS~)Xg|tqXFdrN8oSez`p0Zl!+mnY{T;eAy@>jM2rL^QFjb$prm#<^JgOTw zSl0xWc0U>*Fg$IPopd$ZNS@7793=>kYqQtevzQK|*e-$C_qwqkykq+^Vh5UIhh}0& z&SFQ2;>HBxCTl~Mg9|SJb0;yf(4toAQ zd{iuOOybelbaXHemhc|ZJ}nknO0GD>q+@^yi$xN2WwyZf_LRwK@ zT^_b$spRcSF9x=)^m993?Tz?7zWg!&QRnLToAuuI$wK<8FQ?xO*aN*s@o3x6Aw~Jn z!)^O9sOnz#yQa&dJ1UnkKkt0=KARTXxx$h|Pz1r>nQ23;U<^ih3_?s)eRt6!WrPYZ zh0Gw1&?GVHk85FqT+YQCj1xwHHPg)^wAhK|$sUGGwx|i>i@}6*1VO&RNkZ4U?kgt* zLNUYS`-C3x1xLaofjZy_^=G=5J8OctQhrBl-*8L4J7}Dyq`r%~2CBu%e+<-4;M;H^ zq~@L-PnqhO58wMm*Xf)#)6`K&Cjtkaag1v#mwyr8B%;)!C=EE!AgFt;pz zOf08Mf}H|a{NlUArm&u!e0u8&?Vdj)lZlmbs`z_agg8M#3#+k|Y74q!;N;C_L_I6c zZH@kQx`G3Ra&~RQ8hiV>lAXG0P7h7#Vuz1{6Prfv0XIFT7V^iA+WPbjXtA~Ex#vd| zrla7C`FxQh#!3iAO4gAk2Gza7-bVPb0<&#v-e2eh!Z&t0YRW9`sJ!GtmFJX>7+q)t zG!jKvs~ck?S*pc0G8W-EJ!ou+ND(ATFPzO8B@%ywTSku@fAsjXP5ffzme7w@ZjUNC zAqXfO9rtk?KNK$QlsyR}LI0hP@d5c5o9SdFW{L=BKy+AiI071uMHwS2bMLb)WypYs zr8~JX|DN4M{nYCue=R+u&-Vv9*c@t3n5#@rpXv%B&<4f4)-op`{p_ja`6_jC+VX3r z-tbSYS2?>?mSPIJL(wOXvtMu9eooczc$xOPSP5EXYkW~Xm6z1GR_Dm$YQVN&l-%^~ za91GMU~Wd}gg$|mtrQU7ty;yjDClk6Y*Th5^m{nHD9FZ-!7av1YIzSISz&1AdY_S} z!Bp~YM|5)Q|B@qPD(7@MIXe7Oid#~#eTK06amP9et-VK5AAJ^2K7_bt&B6?r%QTtMNh?O{q z==sy)syKV;W!K$|4i3!Scv@16NzBYX0hul5_*e_m#uVnymRxzhRcwr3qX)F3>Qa}( zRx50L2A#LKwBFub`69`RHy^du?U{V8^xzu*1+k}V znw!JX-BeL8!rH73x5Vuq>oVQv?UCBL>(rncudMBMr9u=AA!gfSvs3bk>;Cbwg zran#xW;%bOYRDW>^qXuid0h|?07I!cDuh!%$nKip-PWmjW%tJ1_VFUcgW38G_E#;e zwvMNzvdCShkRNeQe(AGg$5u^AnOrg@K#XO9#M?gYIQTQMb$AWRT^qEp5vgz~f)$_J zW4hoRjD`K}Zp3ObG!8(i1+^QL>VC4!QM$?z-!f$VB|Clma&5HseE5;W{e~6~LgRgR z`*7tSg``&-V3jvx=_5Z%gs(PLKX1%A{im>%~d25C(V^^=dwceHDNNDJ_w`>liNiNtUT8u)3lGCFsK3(;93 z;g3i^`GbjqWs{0cD<}k!v9zE2PkC8j>D6RSr(j<3?Q~-3?)B}+L2=P!3v*FvL6@>6 zqfuW&i+3e60%hSoh0(!vc9FtM?g);d5EOiKP1g;iS9Lileq;>NNC*Iy9~-8)X7Kd}6$L5s3a=ULx@_GTT&3xbeagHaOUhs@w7-r)~x8^UV>ZNsYw_m}k8HK#ap z_i?LSkPwJ)nSr*Ui3ipbR4Pg&24MIRB0F;**9^`Z7=9!rga`@*$yj?wqT;dwZ9}*q zVor=aehl_+J|OsDVEAzt_@@XMepG!53_l73Z9|T5GDPQ2%kr^e-RimZ5GL>fexJ z-R}GU(~a4G%)Yihe^K{Q;{VXF9<=J+4mqu z{k<8XSd(&}t|Hr15O9 z!GPQJa7b20BPH%f@%>aEr9h=4+Q|uXehobW3KE)dM}-W&CPC%e0Pa5vBC}N*iMvpX zSz%6?4=xPw!AXiv`l#@(Y2<5uitTe3h{1VGg}%w7FLBRzG-vmS>gG%>Ob=}$5AUA2 zG%J%>{_uxDZF4x}yCx8JY@TB9w>5D6^=wEUY&L|7DZwQ~t%UoE@KHY1^TOwFl1S$p z3Xd=*3aqvZnGecAxwD*Q6;c&D#akb$vT&=GG%8sJ=@hduv~64oXpO3=^ad-c>hox- z@hvOg&fDQO8>zp%D72T`VN!3~Qmj%u-ZnNy8dt$+H1wrKH@@dL<3{UA6BB1^PJU-5 z>ZM0rNTq`Wd(3BjQEi&URR?S11~~y1ZAUx zBxm;FH&Lcq`&s8~r35sUG{1$+FR=JVd7z`{PlqDwNuv_^&Y#c919I(I)$EXQm|XiS zW0l2~aMe6rSj59NL^uv{(`>nhnp#VjTBFvHyY@3`m}}r5u^l~3`|)lXqX`J_3lsd( zW>v~BeUZlV6-4$HA9x<((I)jRQ;@nwt<<{8xa2HzO+N2g$KjHRe7wR*PTVcWSIhXZ z-u!_9ag?}IonM~F0!X1Hb$#*B=k+`Vr`Pmg*i$a3&k&0-S2}UOjSOy1Z@1OVoAY72 zlbLi|;x)mqEgyYOCiA?|H`so)jG7a=XWe7X6Y@G6-EjR8Rn)d26(KvO5&k3Vij0ER zxcFTL%8^B-|El^lH3t#Co@_PInPU!zc9oO=qg3{vpLW9XWk_akU58>;J1pTL#c*XZlf>{?=$$ zNg{Xb{?=%R0UGU2aZy~f5#au7fA?=1?PS!jFM8MaUq{KRB4C-|8s(~Kz@lwBhlTZY z$PEdZx;FTp3TKkq{1@unW>IE`(YMba6yfZ;(qHaF6Gv!@^Qd!2ufUo$3kf!6D64ys zbTuH9WoM*wO4Bd^!cfwESMWu2k)f}@CW=~g+8Kp!AmLn7H>1h!I{d@S^}{U*CKI5JNi&u_g*}m-TBz#Wesx3}|3-VhjNw*5MCY3kl4Pz55Kp_{?p$i1{V#GST?_ps!f23##0K3 zU>J#Y_>=$>{MaUz*g@p0;o#*!7>Joi1oQu|Q!L%MDepL-Zg>k~|85Ywo#6i$?)i^< z<94+1-v?s16a0S(v*6XS>G3nDFpvxXcVSirBfj;YFw6HQ%wqYUg;_N>VOEeyO*9i0 z!~fS|*2|woEibXOL%xDVPymN+cO-U+&Jlp5**}3Klb|Icj#c*!36T`719c>x z2|HOD6~dPw<^o3vT{byH*yx;<=AfnAzWW)83I!VitRKu2V7!~|x>A$2ftEA&-A6D% z*ANlMMW3TQ^37Yw1SBU*P%~RcZ>IY)$vbk{TQ6Xd&YZ#fykG^vx zM(2=GyDotVB)O8}vR9Ot`a2cO4qdVu(CJAx`c+WaQh141f63d*zkQxWSJC!>*}%3* zXM`qgFPoNi(Mlon+nE2G`4=<3#L328Dj9jybc(T??Iu)iwgdj?+~jA9a!=UfeXB}% z`y+-O?6{Mshl;r0eXg~6W05sQN-xN7HIi0PAG*!+SXl2+d8?c|?-IEClHY2P@<&k4 zCyXkR=$ql=H9N|KP7rH#cwr ztw#*s9w%j<;#HDzsXtqf8#Ypi=;Lqtd9FPGU>jZ()ebn6vo2ZMS&b4`9J@Qa&pKYp zBv99Af-Z;5G`c;<{tP_2ztPNd;&l*XmDASo)@}$-E_ZyoW-v^mlk*~##@^E0a92o2 z>U-*|d65lc9na~+m1F-b46oY?XU+!rOi>p&LaQYa@2G!n+t5#gT|pBhX$#yZGkU?Wx)R(-i*^C-vd2Epot z8*H|dtzYVLOQH>d1FnR~FXvCuML8~&Od(XYT z?oRj=B-AS1XZRB)Tn8l5aZ0_@O2Fwu>S~mlqCxXZT|Lsbks-$O%xLyoUD+>OYt?fU z$my9s5UTCd1j?>Z9kF>oL?MU|_Ms5^CeSbM#A(>GY>_TW?5XgO&Zoj*iCKefaM-?Fe3ZeQK1j1vTlc z7kElLZ=7*W0x|ug1}0tsE!76w9^n{Fw6@q{Ej&j!4kb`|j-_NLL^G?C-Dq9JdS$C( zjWAJ0i=H5W1VJlk(3djnrr20u1Akg0v|!pBz$ zgDWiqscEQcz0d21a~-{NtI0(vkDp@0ng1irPK;7(7urq5>@CJL3Q#rue4G z?`^=m3q5I{I1m55y=@~8`s}YvC#MZ_jw@adgua|^ss+%-*dd7m2K;;Moi z{fHIp0L^pUx210D#fbOxRvuY7dVJ|cJl#AfNA5=b=yH`K;S(Bh>mofGzlA$ifynfJF~v*PG^`IIKBn#uEfI z2eX0ZpsFbu_$ell=W~8vP;eN~9J~WG2NV2&=3omdE;G;^bTP_-gEa?Tfa0LZQ=m8) z*oPBm%>e;N0L4MGHfv9pUPQ$|&A~XJISBEFOow)#@-naC^S>kGyxA zdj0!g>$W-g7ufp$dvow#VXJ=nrSO~Tz3;*s?Z4RCHaoGLMYh=~UWpun+4lUK|5H;h z1XqE#K-Bg7c1!9&wGdM^_9pdGr;6IuFI34Q$^(`PV}LmgqF(R^A(KQy{T=lCyo=IY zZw}&2c$SGtwMB7X<2>`m2hOke1Imi@-ZE^?dnj5xLe9tPDy12dNQzu zmpyAiz;C=XEEmF^Q$kXzFwoNHR+y~0HS}jqUpg2%Z%OvmN1>u&|9V3s+(tH_E-Ak~ zdR=-=Hamnv5?PLDLsTtACG-v6^8n^KD+HSaSQd7|Lz2u?@iE41LLK9Eq^*f|0uP)i zAr5U>Bv@!DnM5P-VRqbA)t?OwUGxK6RngfWT8v>?V!u0rl(3GVD|HsrQCZ^{r6!Fg z559OLh%>h=s)|IZYKrLvlW8fHlAX59b6#3Iatj0FW9^jpsYz}NR^-*D$HGAfXOOZdP@~SPs4ASrUU{fXqyGMqgRtlYV{aN# zoihuI?SX}UQbAfujPiW@LZzJwC|k4ur|$WQ5$FG9THCLYq4c z1}$`6>OIK)u2(-F%SxY8k1tqzka`%#TcoGYtvYF~31Ta`KoCeq7rlsyjhfhaO;9$& zEZAJ(GU*y$%{n?ie-o2%KFLmrV)9h?PPFmKme)JY-*bvHO?Ak8`@vY1YH1`=fYtgN z zhl2!D%_$bYiF2XN*X^Mb7L3-};XF=Cw;)U|ZShX!+AGVUX2ClVF?v>&cJX>1{;A+= z6YWE2#s&2ul1m$=cj@i3=9eU5EVPsFQnH}AZvgnyeDm^NtelWI#m z*5(@R(sGY^^J7KcfO9zFyICP^TsfN~$ygsbR$2Mr=2`p3c-e@1`NwXXxc8Kk!XMnL zbgJ{Ttyd;1C_Dmjs_pbI2F6>$J&b)sObyJDrt1k`*Tl&0Ad+5C^-(ldy~tg+NKWfd z8}TGB+~G7aFc|Or&TH;*&*)HOj_Q-uNyDU}qur~td0gmmdH0ngpOb#w{>zmXYl$yt z@GX3UjT>)}Ddzm^f3|;N>=TP4+)u)sUqt@;qeX6>=rfOI#l2Uyt)E3H9CWfUKd&_g zLIJ~dQo4wO8dv>$ytYp`GG(jM-2&|k!`r^3Wa83PY9k&a#koOcvYRbFP0TD^8Cd%~ zRQM)u&|mIky0xwGc$qb>7dR$@A|zqA)=f43K_uwd=QHW5h#5FEVa z16X?zqz1GX&&3&n!-b(#D5U%1cR}Zp2k@P~H}yp*jW^bHeGz;LT!NjQ&p$FfC%+!c z?}pVEHvxxrLg0f>8WKeIJP2@DvrFOH zVr$+wteN^Cza7>^z8u#M>*i@3ylaPb9}u94UpuV#gF&DCB{}{$tVgYY;Y46+<9C2o z69NQiz3ILjz;I$hC=j6G&jgCNK(3pNAwYm8L5m{Oiv#UNBl+X7Mu`lzWC#}TxL(U& zR0jey!${wLOa^T1GaTXT1kH>H7g#L(THttOO6nBW=fovfK!9VNa%3nPx^+$Y$H)?icPD5Mfv<`maO&O3L_P}2XqLO$Cf{k^Mlc1WXCfi_JUtMPjpua|py7z?QqdLg6A zGAV|5hH}zhebh|rG^8*IjAco+Q{_mC6C4d_*n$MdEYxWeP;n&DN(%Zt3-JnB1GHqA z3m@GyBoUOfwiNW1cuK2h8Krrs>%b#sNa8KVU04lv7;Kwd z@>G9w58XNDY|aSzK25i@xoe!CKIV&)#=*%+SFxnWqB1%z!;_AN%%Yq4jqaNk$xyfSqO*!8y_%&Hyn zchbyaO=}u>^pff(*gQ)$s|2kS-fr&(4QcVSmNu81}Rkqdi2C_)gR!+Q?KJ8!bd(2M0FL_)Q zan)`}Z=n1(9Id82Q`lO}z-@5EqaMEfjf@|uXZ%~fH+AF=hJz%Zm(o-k9&qhCYG2F` zDW3*R?Iw7}94#E=<-cByV|=1vFf*(C_3e28g_45qFrNHO?UA9~Jv{%1q2Zet=la=C zQ6GQZ2o!i(a=7xL??Y+GYws3lQ?By`F!VuxUu{4O=0z);`%==~q<7!Rc+&fNBHu;1 zH=+At=^np(5HOKn7}K{QYmGa$fOsVH(R9tDtfd29)P`-VElT2T?MGs^!=U)mP38QS ziM{b6gw%x{MIqt0!4#Vkt*+I`QNyHhQyyN3{wo^nf;0E8+-vi#_iDEqf9RBox+@T+{+E z&lc=Q!hlV7h9i4Tc}_&Q=>X+{{BJ1l2|#%qU@3s|I$)G%HWmKj>}ef+&<|AHOn~w_ zo&r5d3<1Dx4FPq+D35&#Js6-o>{x*EN&(8-k0o0SK*5Xa0Vr=2(sbWnWb_Z^eS=Zn z=lcQAz`-iqQ52Lu)7|IbYKuWR|Yl=ttZyxW@O ze7le--{z>C5X#>f=B<8+>J>@dR2ZY%+u{*^W}`zdB0Sujg~SW7ZqcyxQyS;@Ig88 zfZhrpk7N=o%h!0I?)*cJteZzxsN~Z#uPRLnzdBit<4^HMNERS^UT_}%p+baIF~R*P zSym>dq@>5xw5*eTxgtq&8ACKg{ET1)LZ*~LsSql;@-pSEm1JSb7YsW6@{%oF^fg0? zEZlN~`a&ZqVY4r2faGol-c7YjiiR_$ywqTcCY@it&OO}j z#)VO}s~j5fQy!Is-+5kEbC2ed+wODLh%wQ4-=uU$Ak0iolYb8e^0^u_UzLR_3^~&*R?e}L8`d8QP`9fpD&Ec} zkx%x`LVKmkQfZ|1eme6kRSKfDYO>ltB1)@W6O*f9e*9ymudcj?ORy@E$zG4!l#ed! z3fo#ZrlNn%wxO6d&#;F{C#yvJ_3$#(+P?p%e#%Sjiu!vFj;57#nQPijt;plnrnvf; z&-t1KNxmyYS3X~+O0OyDNp{P(r&@gz)^b0K%|qH^APQh^}R;wt7@|agN2H_?l;mj@%P6FW$iyEReV_wRd1H^J5*E{jr&k^MG;^2U2dfV zMN5R21XtCe4|c@L;jlwcO}kME$%ate&K}{E^dWv?ictja;D}Hv!d3jA*OYiu9W66R zXnulkpkTFS8d$`NP+TELNfd!AarJ!JfG4)qxy)CZU34xwq3ibfX#I>YwgU7SCPEVE1tjvzQ4`G1ME5}8}?&qA=w=Z3cy zyO95QxOkL%Pc)x2zc?X!WH)?z$0k|acXWi{Nh1G3H}ziQ7;Vds!fw3H&&opi1$0qm zv;leQO(zovipOAW$1QDh-_hdK*I=6~JA?SF(dO?}FCTT;w=j)OevtWIBcZ-iPH{2y zZiKh+Yp8?uMb>1e;fZV(`GobaH=~ax8)cgv)tmtW`1Z2ASy=MBW>)Kz=R+^Y>ET4r zkB77SGF~;T3VU%g+39EBJ=%^$oiBU^xlvV!O7A=8a`g*-kDoIpMWwJ&mB8{mN}DANYa7}H zU_-0v7y1ia1XeRy$SWwMneG`+UF)e zNdWh1U^XfP2nm zejo;Hsxus=Ya5z75pFJkdywBYG|OunnmmAeAeaqJlP{uDH@rC_=qD;}K7f0ma6o~L z4cO4&f`yds|IjSHI7Uo5XCKS5U`fm?tLZPdb2HB^K)226czLo15u@k&6;Ou%UQubgPNxOaGqY zggv<1k^S3|{o9d!$bUc7OaDtz(>F7D)bwJvdHvDnlOK3(r&PRqc(&X6 zt_q0vuu3kEbd29!^>;l`{c%bQJ$Cki^Zy#dV%dQh%^p08`%QkuBSB0Pf8xfj}&WFiluyPkLqf=xU&b`t)?3WvfM|HH(i z<_rU&=l)Z1d@`-yNnRR94efuWGDWwMFDjk~jMNCdsRgGL|YJa$e;rPCTHY z0+Kun(`dv zsdS)NnXjct`D8D-ppEnrO%IG!GNxTPgwE(@F>wC;Ff}ilR@us@NWTs%-Td(?hJjC; z0m6~`n>KWIt(C!j;-idI`4XkHs6wkTtgM$wR!U{IRQCFNnKSMwe70RmxIRY_i+5je zEP{uYg1K`e4c2MqHkG}z>~grFjHQty=rVp4Pl8jIO3AJ=6@1v_3;O-&CCIH+r70&8 z?(C9^w}Vxl%DAhXr9?dx`!Q-}q*(|y1Bn`*safzfsFHhF%Ef4t|Bj6NVSZ6FXKa@(iO%nhoJpy9J7ax)b41 z^=t>ws&L(H{cvT?+G+N?3I?6?kYc})o}bddjbMe6lD$lW?V{XB)TCt29^#ek z=OAq7M#+7^MO9^%|IB3Oh@-{Frx*#Z?fN<2sn5?GNG?|EU#`ONKc<9O9U zZDtwVefzd4Qmk{Cr~ntKXr}31_l^pn>gnNju|fu`diptN97g7fzI2U3SzLss-6@}A zYwGL5Go!JDZTioAwt9T8EMZ~C1bLb9z5n<0{5_-%@pah&+Vh%#W`ouR!JnU+wil9n zs>)v;riwg$##Sg-xN+{nKR&SV11!Xvud>(DQ%Hzj{?*)$K1N`YQt!2&e!wPWHwjIh z6IL~r!?whr?eyco!)mc4`(wE5VMB^W+34In^WNIwLM>0(j5rGGAe`B(R6g0V01EpH z?76tf6PX{=HsEYwuOy22CIhtZZ=(&Ue;Sou# z&X8$+kpi~w9ig6!Lp(YCWV`~eaEzRTlLblW1aqK`PAkl5VmPnDmAIc>O19)I#SD3@s-$03vZ zOKt_NqTtYTWj9H7ps1PmqeP{BOXuUy1v1p*{$TD|2Id%ckv87HhkAc-52nBt{SaErBe87RB%k0tC+Q@g={(V=F_^aJ9521_Y*2^A%r8x#Dc<*8tDH6p#si78e2mSE{LoX9bN#JN!*+=5!fRMAx}gH#A^4Naj<}b zq=^-EB8vBoSZzO)at6mY0a<&Q_nl6dV*#r6s6Tmd2r%oPI1vEM`k!CV`tzXSF3}@_ z|A^I6fa5%qkiQ-0i34J_j)1p1VZd>oGBE3(5Q5N$NJfO4#)0?<5UW9S%s`&xoWYwh z`@rNQDnkc)MNKekSp+>AlEk%H%?h~A14Xp+hajkhJb-@+yUufopoEVGuJZsv+vGUxAwrTdem<|F_Mg!M*mcVr$M=)@mhlhsy6u8b4H_s`E1g`T2 zfa^TC7~nc@rVnS`nqzh&7P!tMMDri$MJ)MqoVN}f=Yaxey`sp^cycyy46cv!mZzTq z$9X2&C<5NvuOoSQuf=NZk^cWR?!gq;QTXuiaFpjraQMJuFAMC^cLKfvE&>@D84C*w z2L}fqAD@7LfRK>z{{8#J#Kfeeq-11dl$4ZIR8-W|)HF0Sw6wHzbaeFe^b8CPjEsy- zOiawo%q%P{tgNi;?CcyI9Gsk-TwGj&f`Y=r!XhFf;^N|9Fj!t*UQtm|Nl8gfO-)-{ zTUS?CPfyRlz`)SZ(Ae16#KgqZ)YQz(%-r1E!otGR($dPx%G%o6#>U3Z&d%Q6-oXL* zId*h%a&mTdc5!iWb#;C6B>fm$$dKkB^V9udknWcf588j*$_t(7`Oy@8k$dRir8O|1P+nVpMFa4M= z9*RLO-%$3c2%OAhIM7f&UaDFopDX{mVzN@V-fm&wb>;LclkRA8g~qDS^)}-bhJ%gO zbCDu=(KghN;$!qf8V_OQ~{ny^%$gF#mfUdCiU>zup#-x7`tvggmxcyB^Q;S_+ za{}0*w2@}>O!V%*&?f5dlVQm^h&2gWQYqdj=WRTA<{W08{}zo^_)B7(&xHB2l?^;0 z&w=y&Tp?c}v7fd?nmFi5)X<0e6tal~`a@)q#n{$fUy!u-ete7*RfJw^ZafRH=I`zKG zBChl(Q3E>WEbn4E=4v?>hep?|*%TFSw?jpFAH0Ocsu!HK9?D!H+_?t^>#t|a!QO{; zOd?R8YxSCEVO`z{OUd8VYe>stJ!d13JnJ0l%m+6E{_xMQa@HjoH&w0FrMaob7g=On zqGFFOTR^(ITe?HKyQI6j zL6A-bL>lQ1kp=+~kT9nAKPRx(I%}VE?l|}EyU)2}@N)8Mjxpcx8PE6kJk<3u^vlN5 z72HXG&-G5twwOSc|hhN*JN1ZzxIvSJKdFYfkedHau~# z$ul6(K3>J8Zl$_!=lNO5J-?y0kjmD9CQ@=^fg|^=x1>E1yUwQAEY&2AigUQrh`R!$v->rP{OzU*RL;@7xG*P21-aNebW_N3gl~A|8hT-{GVMu0do^CO`dooHo z@09ty(wHCiJ4Hb9Xq5Bt4(0LO2aAvwSy^u8F_ho=KT*Aq%lX_c<+?F(IPjwIz0>x& zdpbp~ZA>W*QMOXdmnj0t1`o9Zv*TthubP>#%E@P+g>$xNW`~@`T&gw|t%N7(H&2g) zqCiH!7v}m`N^6t)_9M9#XT~_rUN=;AO>S{6R<5`-x7p}?2xyy$7vn7IK;Lrufxoz} zXVAdtc<|zF#?%60F<_?b_>u?X9i3}H$zkxUgc++~)rWW-<**NxV@!a^!JGLMwgSd8vQu6X z#)ohm1FV;V#(?d_H$f$xa1}=ZpgE8y)OOYCfi^XO z?L3M6{V74n!c$&=?REj%jiFE?V@=S&bIpPL#^7aP;2j~h^S`#86AJSjU^}l@>Vbgm z1b}U{SpVZbxVympB{LjrKgi!+#YoVZ@QL5cBY$ECB-$~QiW)zn(vSzp@K2z$8)t>s zE~E+=-B$D`xf4Xz1=ucx>`pjfyS8&uS5hot0~10;WTvS=z;>JGAWs8h)17dQW{=Oa zKBQ#ffbCSnKn2Wx1xK)O$XL!7ppsRCtlUtd*Ql-ifbAjx+x7Q@X3dxfcOvU*kP(qR zTl?UWZ)`W43W_B49&`;uzhHa01CrhWy)=NEoQ=Y}gZxwtkyb*vD2$B?YP+g1&;R6c z-t{5pt?mBhw!1yw{0BI|joDB#D1(yM!y-=~`jEkjO(-@9)NKwa3CEOqh&q6iQAVwOoh` zro$kOP*pJifgcXz62<;8H$Y@$PJKtr#Isgn5eBldMya6nOeP<&2<9Fc3I}T`<-ait zQ79OERt*$h_Nb6D*9JW)vlL0dN-C1SKHvPQQm8>`rCFt=!akz%D!s76YsUiHlOv+o zY1%6Cf{vkcOSR_fqb-%M_)8t7 z^HWpI2bKrOhAO7YXM9Jr!4%Iqe`p;is!^9PCR$lVD!q?>(OB?)$L4vww(vo6(*VS!Oop#=Gl#TyT18s@^KEUa7P0n^CEKbuA4|8l(HxblwLc=O&K@4pJS`XL za5t)czN`%jz@Wq?%=JUeMAqjUc<}l(tN$5FH_Cv<8jPSbrG4C@cEKQIyP%VPRZFoK zF(vO#GBOMqWa*8xt5}CQFd<`NG7PgSt+W$?j!*@y04ezK%hxYek)N?eu)hP%mnt<) z-bn_|HzVIy(Ej%1hcM6FW>C%Pig`lGpJPSuiW7>%M<~?;iw2!083QVfj|J|8nVXPZ~#Wj@oZK9M%ZrpdI=C+!J8c`(ja`mDne-DBZx zE-t&OWCx$JEBy4HqH_+-@*cuMIz_Ww%qw)pExkuavjiv{9w8&UMqkpy`)9&xvt;)r zo@PwXx-{6a5`0!wUho+I&|g3BZeNjUaqbryr&zDef#u2fg^$_UtxVmAu5G-0wYcenc9eKj>ExwttgiJ=<37k$tx8rCL8Zj65B%CPx z+!PHapdg6W1Dr>$IJl{NsG0L){wv1l;8QjyjA@-`ocag9IiUTT+Z256eyLLwhGt7k zQ!~vSN!gG!xm|Ml?|!)gbG2z)J8Z6a>Pw)pwtC*N~k=eHOx9SNaFPd<1S3=k9dG%0+IJm*;h zqsG67Zw&$Gh?Fv)3wFZgx?WR*L_!6e2OI1f1TP2!J19_#Ogcwe2=r@S_$vh9xc&_|Mwgc2I&83AD)52fcY62i(=mdOVIB)I)+!CW*iD${0f0~N&oEB_2=j8i+c_a&o(vG?*$2S%!{I~2JRu;=gHbhF zbs_@!M~($-U59zG{*S^!sgU8HLdC}ifDb0L?Lh$SlK_%WL69&{A(ZSB1bhQmVcx0< z5aw~$L&CfhAk14ee$gLcn(BGk1eCBq!o24|n1=}o^FYX0fk2qYY?$c>3G@1aFmDwC zzL|c|rWx~GKP1e%zvBt?%@p2%ZxaafV0`A(!wD|f(sw|b&@k^)6C}(NS3~5OQ?3hR zV}*jR&D`sMd%j703%*fw*`7_M>H%*&8 zl%}@f0v7q$G)V8WB^)B6D#+zug}r}g;XtFaZ?yWRG=VuH&dzu^9BDp(^I6XT37P~ z&w@7CoG)cchhsPpG=os%{XWTjkQ^b3ULu3p;-ijJhu_hxTLd*7{gJGl^_#+xNOsn8d`TZ39q&RW;@@|Ej|G|p8( z*Xc69uzYdm>bz~!59gg8j;b@(VHgYyvrFp~e`4#r>rNv9$juLs8=We%`@^5y5V;B1 zpmLkgLjyWI(@I}<9Uf#>AfSWDP4IaJUSb*p?!C}m&-weFE?vJj9rO>lR>*&V_<4!t z<0ZG(V))eMq-PvrllV*~f}0yZMmW0FS8mdDb5yG)J4QDVnvSy1Q^-dvgHu{`OqtHz z5^PLQQb&H8yz6Zl*6m$NRnW^)MQ8!l4z=6vGaB`!4|lk{Xz?R@nCil7 z@T0@Bs*BE2M_F@mb3aoxQJ$6G&`_1Bg@W9oo_1f!`bUE%9L2#UV=m^F|FW07km)0mmk&J zFWt|33S-}je<1kCnalplE-XfUO|00>M@N8SPqrwK1lT~}GiNhd=iC0s{=L@uu~WJ> z;UYn3%bPaqlOy7eewk_yl4=3H;utT|r8}H1dRz@RH*dU?TLpZ>$mCCc^9`QTP?5^OQ33NSHDX zk^0JK_I|sw*T>HBx;B-w2IzgY`;n%O9;Wp?h{;5Q#bo^3(ZkW zb5Sc7QL7K5*SMlLG@`fMqIYhW5N>^T>$6**we49!jxAN7$ChdT(qqfpK9$=*&hD3Y z(>uy9LjPTTD*tSst)#;fZAtX;EPRc2%Y?^WcEjc}jl_^ZE+j>g>=(w5$MCGwTZOUc z7voWi4a+1au~`$hesUa_N@+})#Wj$wa;%jyTu95A)+0BukuZT;MEgWiiagzsy7Xl- zz4~sy+S*YPOE^`%spQZzY8Ll|brUA`%b_g7XUbqu^hx6gSD*QbLyBq8Ssx;M-869*n;Y9dxxQ=&vyc1IZdUBv~Vc zBx@q;Y*NzE-FCS*$(jyZPRRN$z4v#4nA)K9L8U#~PnR^ojftu8D#l{f5vp>QNp?yj zl**A8(;dO=X_^Sd8y~*+zm6C!d*p9fJNNxVJ-$D_>4i9*&Tl$>N7!`L7D3VN<5DJzx#~pG!^1A?aGDL z1C2fy4!f98gq5%O^U<5j_OX2@rx>!eK`6W>i5j|N{fd@OgQF0V8hZn>ZsO-e{^ z;WHWao~JO3o&={3Et${@%-5T&uw<<7Z*qR*_+b3ubpnNzB;Tm!sA=Pg{ja+_9MXrw zM3StTGdkuxZE2&ql=TsK`#aCj@LS`18H(=w>XH5!F`l5tQu6uku8Jv7V+IC$j5Onr z@;S$JIxb6v>+W9iD~;*GXKdp4e^D#+X$=^ zRArcDV_^3~;2f;b$<20j@yiZcd5I~|?cNtA$uAXC+sBJ!dh%mw=a4g&pyLojC{t22 zUA_(cAR0dyx^A#qNiL8ZJ47@3JDIibx9(sgrDA0zIznuOzpT%A+A>{nM4P_zduWcx#2ho2i zLs^}q@blxxl=55svkc|?Q?9Er6jLUYQAioeI{YBN5%WVtpA!XhesKjbGZw+z*nJAn z`(ys@@XhLO#DmYs2Zk50s%(0o6&c|#+}$YKF(L>D=#tc?vA?5@VbP3oy$QO!fgTh} zpa&&Z>8c0i?vBq*4~iQWvS6_9u$9|2j%SCi!auP%n*eY#vkZGp`${i?gOnhA^+S4UDcrM zl=zBE_zJE9^P*3Pg&^zTPfOj7XfTh@K}66R6rkYJ22z9Ke$NProD7}=T7v>4b4H|I zKn)5tM^L7xMqpT|*B}y>9i#^(5a>Z!r2%?SfJ4e)paKwbGElpxSnCoO zG(dU4fx_c!;jcD=&maEV2b$x^#9`^;pFwUpBepKn3e<`{srxmfBapVVco zh_N%I3L{KKil1q|?8K6MSUk?6A?LJ(m6Z*iEEc^P^hVxhv#}VpnsB6d0fq(k&8`Q% zg}bFRh6Bj4bE2flrb^d_D?l5_$M=z6GK|0V&|*ugu-aC>o|}Uu+WsNqF`-Lb?~Ybz zAsgqXIJ~P&RTh*XXSJYAKXdHyjNd|$>U=U0{+o?t!;Vs&o62X=hFoP69c9I1mDjq{ z*_z*sR7=iPokFJVwfQC0->Inuo;g-dSbY|?E2s82yq{u5M4^*IGwU?bAm`HYh~Wga zxjx;vO6GILW0c6=4j%c}=RbiLlaDmiSzPQw7*UK;5H;JSa1|4)7#=Y#iuFCNuB-iN zT`2rWYhs46j&dGs{Xv0u?&O7IV)MuWjdU5)oB(|4O?EbjYgR8x=N@l0?|s=w_JISnWn>Ew9ZaYcJTkIZFsols(}jbcd#j1CpL5K zW3*L|Wu?`4{BTe_+0n$8p%UE+)k$9NYts8nV;9C23fW>+aO(TI zt)u!&9kVTobp3BzJTaOBs&e~T%kA4T?Jb7xTh=)TI;LDm9*u!=FY@kWwG%$#8Pv$G zbtPcr7JimKoYKo$L}0edAnq}wvck5`!)PJnx$vH=>a;+9WJ`dRXF5~QxlFrb$ML;8 zg_8?Tnb0qbF2@%2rWuJ>+6`9vR`YWkWUs?hqSoXQcq!hQs=odbu_1HPGL!7VA(ro5 zZtm*au*ltHZJqWcG;=t%8Sb%IaFIrK+FD9+PF)P6KYd**GwlpmiE=? z+ZVl?zIeov-c@UI1Lo*LI0*%PF`8A79v|twB@o2;tv02b z`BMWp0*PS?J%u~>gvlc)NUORCo&;mM!32Ht7r~)VO%a!XfhWz~r-+0JK=0WF37!%o zQz6@n_ZYwthuxvn&;3Qh@iqc)Y#6aKrDsnFh|z)^*4Rj%JiM#_9mFIkbbd8W_e}Yv z$o;u_>qzSMavp2+UN5B$*r!aHCwcS=BcDwUOhh>dF zV7JClcc6n(IW_>W8+^YvpS>@{ZmSTxVNoISKJcuqK}OxVw%b{#pDL}NV5dLCZeQgA zyUDt_gK02fE& zQWJyjWA^T6fju=goE!Q~z5~Ms@wTZCEj|eaVFu9Mb?_Q8E@sLq6S*7+xjJ?<7%}c< z%2+6*;^apfi8L28=1F{y%n%1}jL#Uj1C}v+q<{H#GE5;9a_rdeKBBRAlJeOr|ECuR z!4J)-JNKFW?!1Yu!JpwK#4c#m(dEk_&&$t)5r!u# z<^JfZlt@mNmuj^w<$}_b4otSI1Z{rvicrjzk}IMAw7VGQp-^C|SUU5(Tp(+ZtFTz4 z%qYQ>jm|9S|s_aGmF2j2sv1+O6D!lhax;de< zS`#?-#{A)$X*251ZyMwrl0MV_jsWadUE{>RpMzB~rvli`pMAg}1##YckKNt6ih-Fb zl6ElSthg{L(L&U7o`c85Jxdq7@6NnCu&|((kUOPrN})9DZyW%3f6NbqGox-UI+?Gx zVgHTG4@?WJAnf?pJ$F!frY4K;x6JUHSS7sI2_3G6zF0Gj7}?LqZJS?y{JM1!^SYSC zxxjM8nfknyr(h6H9dh>=+m0yv#r?2C*EK1z<8B%W7fOBvM$d`4WLv4h)$X!|ImT4-o!U8H1(RgQeCM0IZ6 zmk3oGVZ+a7aPbBXV2{OvtRGR6v~aH@v8Ab`{4%X6Uqplz`jt4T1E7t^DFK&M~MB|PQ8O8edA;yV}4 zvJFNw1m619k1uvAukGff=c>5Kc;H%hZMSFkf7tB{5yh3=xY|{HzFI1`eVj?ID@U&{ zARh@`y+_!>aE7*u^JHL)61LToocJiBO=p$a*WD-R>M#-=dKg)6JSz0@=LeBDR-Vo# zqiP>@KXMMy2%HrsdzYJiv|M->kzM7i%opU*gN`>ssb$=JkN5x5OyV{*Q zixUNA=QdA~NrQmdxt~pc%+76q@8#+PvvXk6z%^;uGg1&jH`gcmn1^>m672Zz`;3C_ zzwANeV0$kiGVUE?pZ}wxM(78Rk=MgFf;c%P$o+}%qk!OGAk*UOP{E;H39i$J;M0xZ z1g`~0jO=$UxOI0*sNgDRK}b-+wF83lg9?t>pA_UJY=0xTPKe+T{t(;|L~w1h?v#Mw z#vp=2e(1wj0~H);03f*gRERug5W!*G2=05IpQgE=APjU`9HamUPO;w|mKGEK0>lIr zoZ3Sy-#Ji|elCP?f5dMLfZznZA%as2j&ci1FY#VN!tw_MCkPSTF(5cnUs556;MU)x zSO9{Hg$OPN5S)D^p`jOILSz*nI0fIF6yW~zMsNlY!F8p0y7c?X*M$=2K?O(ZHGCyF zdw*EbaEWLBko4_ccuC52#P;vn?P_fNR&ck1yA|B6;BEzXE4W$R@+G-(n{)8Wa4`bM z$6LWs{Wqj!9yOg#|pxq-6!jv%#t5(rv zU}SlE)#TsJsGBx4eNapO$5~@ulGr0tPimo1ORbaix#40Cn%C9Om3nTb-wfB3($jL` zux186xU`;R9Th&~+}y64pBuHj3(obsbN47XCI zWnuRDRP&V{PQ_XtxR}FCTHDI;#MY4A#1ctsYPowxxkxvR9w{CLLqQOZhwtFf>&J(c zH;paDsJ6nUl9+N5z%Bq+iA;|4)CqG_TXWXn)nuG-A+V_NLq9*ZD30Jfru$^D=(SJLJvGYZy`O}&4C#xCrapE_OSuQx4Y-&y9oJb6 zdAhHQ_h9}V`{Su7&U~F{bi7`);;(T;KlMgY=lh?C9Vb51F`3cR9MUXyOw7qJ7EaSp z#`8J`zZ_^cp>w^Ix9B}i)o(N95$9~;O>zqD;@hrBo>y>FtH{5q z;;7>u)}dC-XRS34VaK1aJ#8x}% zG5U@gMFO6QrVniS>Q!@U>))r}MzdE_eYVntTb%p!ggGFk%3#f+!M9Q1tbqMM^;CpF zruGeT)ur=+Z6ME7S?^g5yY{}t_QKM3BWrnY6^jYekIs?g#?~@fHSy7m6>CQ2Mx@mB z;nR#xuM?MM1Pm+t2kr7`kVZ=3m=BsFE+3 zGTJtR;>Q9t)1{Z-3VC@?lR0QX#?0Vxq~^C$LC!wzga|egV6Jb)r_psR_>Be3R~>;L zKBOZiU-kVy(~65fP@FPjBh9%-^zj9iM?-_2-Ep&Lqm!F!JDx-m#zGzG>#w=v$wV%u zIoqEXta$_aFwUFXmOp<<_O$8CKF&G+wYQ7NHx~Kfo7eN!jUQY8n?_32Po;uhw2@3d z+x~+_%754!U_<>kZ{PHY|1vl5uvi=h+DK{em&b3HzG1(hkKZ)(fksN`o(;yGs8n~Av-4-P2qI%Yw5P~43GxQq3H#B&M(q-5U0v4JH@LgI<8Kw_FGvbm zn42JeA_wU1`JBgnT1?yvkPuXN<`1#rfPAjT^9px@(0EP&z@35*fV)R7AvvkR6-_<| zNLUE~?hJwf+`$7AbAo=PhM@rNw%?-w@m_gNB!Ig-0C%x32_3u<>t4PEaA)sVQ{u^I zf3qm=7X{#MqQom~$4`DTjJPWZ63;PvuK>6cG%|?|*f5Tecn)0@Uyo>Rin$UT4Bme@ zEq;r;e>Lvv24-$sDgUmi|6!kR=LY_DrCnwH5pl6!s4n!t{SAMwmXh0cgJ~>J4mnmjR(L~Y(PWMr>PI(>_k&sa~H`)`3fl znPfFxGVzjFucUT~=hmDIRX+{w*C zfVUoNA&6*~LwbQ(`k1wtMU`51s9`86al)NzgpS1(^;LHHM#&Ibxk8lWlpP*Bm4s@x zQp$pg9X}40BL9j?u-3G-?l($J_7yd!1yyVBX-Y$)6%7-u8LO-YN(-D7E%604i;g5p zhhNJ&l6%7&!HKETo2I(!rjyQxIJw?7EBd1N8m820vXLg%&p%zx@rbJNg?eurW>t7ay8JinZ!RRqo1oLOk> zc+@o=iUzo$f0OZ_Vj@E{crQ(|x4aSXpykAQiH{RoFsSAe+zbKQ1miaY)y=@akTKzTZlw;H# zK2wk{Uah97BRI{W-IOY4zSd&PF#~SVgdkzCFMTjKH9=;ZTlw2aVN_kp1<5pPH?8olTV8!M@*F| zaHs9nzU68jn5tXhPP*gPXFcJy(5wEgEPsgXipOE8Ke{m2cBWFp&9Wbivsm8|a#o$x zp|i{1mNVXaR?pk8AH|lTKa1ho_ygBM(M)@3k=nI1s@>)VNyfsa=~4iJ%oikzwu$<~ zx++mLtI|>y^C{Vy<)tiZo41Rr2)><5cx7l9?(*Y4XjyeE;(cArefIDHk^@rCsm7hS_xG!oNad}kc>NtyTq*zbN3 zY&i)Pe47n=mnG*>S}-780la$)!R`W`WoY(l!mi&_vcY+ktVE6a+ctAi6{pgk3;XL1 zm)6^uCuyv)^h6Bi(B*;gjDv5{2g{4E&O12g4lMOOS4LNMU-LHY2aEqKL;tP&{_Vo^ zzb_9IT#k5xPjc@;;yI7iL}E@=$udDNu1F^McJ`W>j{WPofxk@53H-zIK=fai2Xb4X z9VcL5R}L~gP*W@p`x;mt@O$@X$;o%W{;TByH(#s)=<+}~8l>c;M~UPUf`Xqnp+77H zdM{8Zo}iv>gR%^KE1}T)2tcm}wYdoby`4T#RxAX1-*K?gnc=ABK8)$1(4=> z3u6Wm-9d)Dq4P5Xpht28y_DF%EI-&OGfx2kdiFttc_`$izI+P)WDdaUK_DRr`7RYA z_bljcKQiqO$kh)vs|I!DzIlKXa)4kibW7X;a)@cA;Ymn~Nqhm4e27(P4{!evD-D1i zv)4UGNQ$T43kp6G76YI+=0oxt>DgIG$-|I3PTy}xSQ!BHR)ZftLA}d`%GBvc`YDve z0rmSdO5hx*g85}-CtMi-JbG+um1H_(HL#(RytK;s>2?k}$# zPAn8m+y(qD-dm|4zs~0-n1L4?5fbYGkQDEEWG81Vyk;z-`+v45eha;SHS}(k_diT^ z|IXLBeM9%JgWhe`$zPy%yFKt%=>7Az2mZP%CyrapFwN{Uiql zy;P9Ku-xRPJ+fBTXzxV&gQa-*K6^#f;k#63Qp!mSQ_5V7;c|2Xli4AsC0VHSk|E#w^YL*C z@Y#1IRX3(eYT3#MGAvWeEvMs*8r-!Iu+`fl;0w-zAdNjDNm{tFS5>J zXrmZ-mH0Z^abKL&N__PDeg2>KOD)wu%LnA|)nqb)V=Y82XXZ`M8qA}r!mZIJ7K|F3 zOt7kiRk&ki?EPTz$H*+!`?X86OImOds=|XJV>Pc&GMme^=fN{A8~%r?4v&&9rvcJw z1V39$)0%00ko$@##*J=o@k_M2_SBLL45&Ngo_$m5$u~>415f=+tkgGMMT2nYkn2qQ zj^(>GB60MeYV%9FCw?gilzGPL#XIp5X>5(hyC~g#dfo|3%pAdZml{$~iD(nScU^!& zrS~Kfy?yO_KG!?)HG9*27ABH~J1`F=YDe<%)UYcq`X0L{ zrbV-Tg{hKPIMJLaC_XhkskD@_YW>i#QeS2gv8Rol?w*ugUO}_GtzP|oxckugl>^Zp zvjaXwww{LPN9lu$TJG60+s0R#{BI2V@Mk_!vA+KO(i-f}yY!y8sdQX6+d_Gs+aisZ)^vBfA^IDLcS|RMxJ4kf*g)Rq(?trdG zr9{LY`^MrQi>oW=ec<_n*FPgF%|R1ikm-n_Cz(tn3ULx_PM0q-Ur{`8|A77GBqRrE z^`6Kjj68+#onHS1NJw{}>;z)>7K3wavP{rB$oAyh;OlE0t%`Q4((l+%-d*K_)}qKx zDm|c`{@8X}U(vC5;B&s9+4jPeU~y*d?0os_D;sXOOx`PwMX_d~|b@c?5~=&~G%CY##u`cHQD041neoAh8{0m=7N_G`7oy z++^-iA`16`zBeJ`-o$pW68?reeu93`n@oRM0CSpL9;mdKcP~KiIH9qf-b1WVKy#Sa zv7IzDwqpY{R|C1pQU2fGWY+R0lZH$1xhY~Mij|GrSy1=^vZ0SMR+M?pb;fsWOG@iWstQ2E4i7n zh(WSJGWA7m@_LKOWBNc?O2Hi)TlIgPcz*AJbMfrGfy9&4zH6mD*7Hpoi zEIA*R%v5fAQc_E}(NU?r$k`H?_qBPw|Lt2lr57@|9p+**Ny4RyRGI1&{UBs|%!it5 zg|r>CoU-3WOC(CoY5g#TD7EA>edvmib<2w048$ALW0zg3SQbHs1z@qu_Yy5%n_El~ z7&>QYW!+a*HJaA)X-G44p3+cOno-S8N=2R;msMRAFfve2cznAoi9mfNWD3q*{#PfTsb&mX%cH;9RpL*jP!z?Quo_J($ zl6Tby3)@JlJmTBNZK`{#%b<5+xx8hR(%kPn$aZtTS$O!Rb#d_v@q=c06dEBeGCXNQ zgM362JLcsfoeLflA831u;#9((Iv-L9wJHp9S0Iq!T{M^lus$)2IzC||-?xBFgTpGn z=*D?9C0q0Z)79ezFVV&Jc>Ihi=E-?WHWnOa?960w=V>sxNUqS??AinUl(%D4_rpoL zpWSEe=*4oO8_=Gs#cSePey)#BVMA4$r6au(BpFDjQ`qeI~xq*-h_PoQ564e7J5Sum!No ztGq}tWBRc1bNPX_6Ysbw*hRRPfUIpeasZXENp48?&?&*Adru(D3#rylGsx5MSdH#= z8vl_EcI(`m_#EpMZcJ=XH$EVs>!HdnqD7}&m1JygVb}W-h`sb2ZAHcm9Dz#~7gJLV z4132su0Otm6E4D(a<8{w@T>bG!Ka~94pm}_<2y#pU9>Tv1f$2~`J?87qrC@&xr_(8 z>r1;NZ=I)#Y>yZdcs|yAqJ4(|8H$UVk*@yc9`7?yBj37f%+xkFkl-SnuG=IV>M>pR z#-ZY=?&Pu@r)o1c^8-|4OI7Jq$JA$8TbOVD92Owvis_S8^|>lXIkb%eR>H3vQEpz< z0h;^u59KHaJ%24nadZ7^Im!-Dj&h#_nQG_Ha+K9yBx2yJc9i~s%JrHP{+Lm90#xoIKQ;_Cl&G%uDNj>GsJNye>jdA;e+E8)X;1btg)0C5~86(WBh=&T7D>&9_lB!AsfKVW1I+KvKwTc>*Aj!27% zd;wyGGOk1GAr=s;>5pB%t-Ep@GvGLTh~s#YgX5ZmvSz(MB4Gssj`M>!?hJ68fiI~) z#BuPwC_po2`55GFT>{{^nn=PpFT}~n*MQ?&=uts&S2w%5MSR23Cytput87EH4L`ptAV4#?` z%R-L3UO78@vP2(tPcn#S3Jqtv^pl8X4#WJE7(Y(=$3*&*DV6C&qlS`gFAMcY&Z?D` z?BY`FD9U~1Ikm#yDmkUBBxeR^el$;)+N;LtND9xke%OA+H}dGTXHQ-1j#_a5`?#L? z#B6u#cFiN%{mjxm4FRF#f_R*9BhiVu!Q$;&f|31D4ubd(9%p>HSr!@@u38vGb!jzG zU>la4@P+DRrv@FHst~0irPHIC?ED5I6Xzf5i^S7Sy}GovpG9;^s5#5~y=~P}ew1wC z?lgT9p?B#@moG1MBu!g|L14>$Ho4%?)>KvXA`VkWL#Up2o8YPivvacbi_jN`=|{_F zdSUfwY5KpgjQmtH@4r1BuXeorq4OITxfAscDf~Skwp)78wWrAZ0xwesNx9m(1oTOq zRnZ@f_~E;QaeHxYYn^+akqUs9eM~=qcX%qmCFV1SfZ3syoik1uBN*5TfrZ4dHwr<> zZ2jODnfk<5vjbBIWx89N&v;>A;4~WNIns2Nz6s0^DMsHbruq z-So=}^BMVo*AYWCm91=9Qcr%)Jd30sj|pZe z`09~8J9suRR9MvqKVl**&r_2lw(q_*9LG~PKDi;(;HE-EtYp_SWoFEtLB&t3*``HN zgIiF^N@k_)ls?dQ$X@0B?X$EN{$&5mX?bYJzUXZF{9OhPs^EitGj-3I*=Pcfld9<$2zpU-sOYzbFo@4Zk?V?OXhK^1-F! z2^NxhPR&O%uxmHm<3oRO^T9NKx9+>yLP75|KRqzJXyMcqxIpY(#~wZF0_PD~$4_ee z)PCI*G$nL&7&Vio4rmE829u>b^>5K}wDdE+GCStd!Nq#46~r-#mp7EZN?tvd;-QiY zSp+}kcCp^}`{I3~wf%V8y}hCjc**ul5-m1b^=EJg!I&>ZVvGN1_$09hv?~8tUpMNl4 zR4>$g;D5IfGXy|iB7i<-hd&xISHUD9SLWNHL77Ctg6x80LUzHKMWEN1q&`Gf*O z*j^G)_l?ei9zosr5#m0`HD;!LAgPd#a81zlvpYd!f;;eZf4VOSaNi1&mjuLp!GQZ1 zB>eb}{2|Zo41xgn!BHU|i1mSRn~_;=;75!c=v^8hC>R8RUl-)ro%4k!H7zFX1xOhR zKaYo41rYanT|K+gg64M$5cl~4?vqRoecc?=G3)yq39AU=z7RYzR9xWModFOuh5_zF z>_v%!xbG$4zB-8eq6p)B5GSL?A@1|{H^22^+|V6C~&-;qr@pyD9H`=VdPZFHS)fMJnSgvJAl<7+6dL z7_xrb~xQCmLXP6?T*jf^_`LDsgh9xZw;+syY+Nr$#K|0r03~obF|EYhM#MQ8(qqBnPF^l%h*j;^@7* z2i4^Ek_=x`o$i@Sn}2c)Z)F>2@KhSoW7$jLzPpwA&_YI!3_Eo2{y4L{(y%G+UK;hw zt!{C#c_)2B&aA&zE#V7Kg3DtNhN@W+Hux3|-)3*uxTEx8$ zrE+MzX!3vV%19it2GiFMwcmAo-{>5d+W@=sdk^JNxy)BmVdSp+OUUDDl8FJZHW7C$ zlw(CpNl^&A&Bb-Ujf;dN(xrnm@vf%p^2D^usFU(STTQBm>yX09)^r{auwrlR+&q8uY~uB)}a=E!(oiD*&z{h(BBLeai@ znYi4rBmL`GqEa({1g)Smr~0BoYh~FA$*E$sx?}`!venayg^}Y|b#=}v7Vd5fOM8ut zuQww&y*&$-Lr_Y&@g6%U8tX8VJ)jxXeH@-n(C;agB0r@|XHWAi0EbWhx$Ma;DWZqSxG&r$JuPh9D%C(W;bTEAK$1IUPY2i8M* zM7d1_&IBRIV>~z?=1g)1X`F1+Fvk%Q1k)V@^uF+Slt!POL|G=vY)jx+`L!lw?i!x* zfRH5;tdt*H&X5I+kzy1&_}lC+m1jPQa)E(COt!AeMCF#J#VvNuu`Z@%a%xktO-L%@ z-eice7$TW?UEIz*F zms#T~7EL+LgvSo3?2OT~h(&m38h;Jer4aFJNPO-aWxsQ3NVlvmy^S=<7XB_%yyMMh z$M03yy?QB#2MfvsY|}a(pbEv$mJ;0_0=e0egr@upTKdO)_S6kEy9#D8RXpQ8-x_ER zWHxk$jA#4Ls%qs2_RY<@=b!kW6=>t_8^*NGt)+1=RCL%J8)Q%%p{EO5y|bd^P+w}H zbS)ZnvW+@*B|T3LZrqj~biKFmapsk)nAXz6`B;^z1GUj)nR= zO4fdIoT)HN^dKuXuYZ@j2m_~16~F?a9nAy9!HQsoM*?otY(t^0k4FGkx|&Oe;L`SI&Z=N&%Vm(~yJ zmsN4~HC(N5|GdVek-r?&218phz4MU><^+w1zXqVXVPYu~-m!SR5=Ix)2}e40kFs2$ zOPE&}mK5fW35g~=rgf}R3{3Z#Anl!SUUEc&Bf-0*m%^Wa3tp-Y`R31yBK?Bcm_@CIz=Hf2ID|dmk%U$OVt#uO>1Z>PuxYh*ihbWBh!>V#lm6Z zq6Bif-?N}J;Po7g4*?mZ15;H5SfEqA@*0-J&58kq`$MSLa%Vw5fCaiSu^PZ@ozMk3 zdp}Y|PvM%I1v*klPIvjo0v$7?1GD;p`$LG=ARU-L)xG(SpbK;ckQD<>Dn#~K&{h*N z>*L6r0%R*{h( zWX0fVa*%&>VDz@v7!sB<#A}cRx-Cdf=R@ibS)fDjMbU+L4YEKN2=Q73VV)=AWJDgs zYd#6H?tHN~3v{`V1-gb=4@+cU`I8XhPtXNA1J6#tYkojZ=O-2%CJ_i-po0s~nEi)g z@PAk|xb@nt*KWOb>$O|2-FoeRjMtb1Qj}#GnT7s;dOZiy0uCqfXZw3OTE9jmaNWam zGU{ce2iC#+3y9DA`vktnVK`Q117mdJPw|gqJ>V(bx55&5FdQ|4MG7e|OC@4Zj^nr@ zHz+wZCG~Z&66hy4sHx@$j+l?Bqv1DSiEs}-OOE%?QQ7R(m>+zK$l_j0Y0OA-IjFoq znbcB=!|2-5r`OAp`U9W($%(m)4!M)bppGeP#<`67Jg`uP z081g=e!m!Wu>J`2{XPl~Isztnzu50fWvBOv3G*t-%G-Dj2vohcJ~uTjIrM8pj_$Qp)l;)lMWrKEu3X(XyZ2gZw`F8xYuJ{# ze|1v*cdxm)>+6P^)PK4v!O>9(C%^S=Ija+v@2zv)D{On*)3-UwtD}~-6vL+B61cwm z?faUO+kXglQMmj3->Y7TiEDmd9S`bwEi0NHc5m*wK#0v>(h0_=F{ zWyJm5*0t~9$CdhyP5zUC9WM@G$Lmk`y*piu93IM9!Fj)&1eGo*{7xsnRDmb`yy4o z5HaI_RVVg@8e40h&01$TePzwlnG1fNEX?Ddz53O&tb>;4ZRQ!zvyNGA&s=rh@vZT8 zp1J8R?jaW+FZ$Gd&?nRC!jFx8Vj4@Xs=hGFH@kfO&X&-3Z!#_Utu`*0rZz>q_LakS zsrJe1zD(D*oflGFe05@7X}|xD?C9mf*PSi%TI^zG`)!x(-fLzyzfpF|E50K)Hz|DG z=o_1*t`>d0WZL|kPnHvy)O~Jt%3YY|VUi~}^|$kLH}i&dvAG{he%8-^>2py@l{rR%OL0mrI z*w@&XbCf`l>^yt2x!C+w z%rOOj3yVwfH_}rpYhif(SKh>oZoeAyI$$K$IGW{_z)p?jT5OKIP5y0el5PVLa#x0?)r4;tM|f=v$DWVzyzSrkhgNwdxk(wehXI zx2_AGKKy}oRmEAE*aR@G_%0ZHfb$8v&_s2XAJ+xz zFR=JBu(&J}bV#U`xyYu~z|^12`QbRH#)gXA@Omag)_=zZXHKZyc%1o+xX?5MX5ba! z4F`gf9u&wJ)^vZUl}lvTIKa7TL(SdgP1o63KBhBEJ{FX?$`YW^lw)4Y6j&<{Izp4n zy`V{vu~qgXYt?s!G6f;0gd`b94*e_jii&JYz6(|rB&xk=l~_@>>Ub6Ku5SfHR?!Z@ zMFusCJ}@0-7c%`JxGW%U&Vpvyg6x(Y|Q`$Fc8amB*RG zRtQFaU{Wz)o<2jcOQ5o|yyfh76Q37?+%E*X6PPDm@09$=E)d4{VtQa|hso3Jg1!wV yxfSKRc69H#(Y^0S_W_BXLl!+pB6^Nh^qiQ{b81J=nHxRle)L@E5Mg9wum%9Mt~Y}K literal 0 HcmV?d00001 diff --git a/code/bar_plot.py b/code/bar_plot.py index fa930a6..fc724be 100644 --- a/code/bar_plot.py +++ b/code/bar_plot.py @@ -7,16 +7,18 @@ Created on Fri May 2 12:21:40 2014 import matplotlib.pyplot as plt import numpy as np -def plot(pos, ylim=(0,1)): +def plot(pos, ylim=(0,1), title=None): plt.cla() ax = plt.gca() x = np.arange(len(pos)) ax.bar(x, pos) if ylim: - plt.ylim([0,1]) + plt.ylim(ylim) plt.xticks(x+0.4, x) plt.grid() - plt.show() + if title is not None: + plt.title(title) + if __name__ == "__main__": p = [0.2245871, 0.06288015, 0.06109133, 0.0581008, 0.09334062, 0.2245871,