{ "cells": [ { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# %load /Users/facai/Study/book_notes/preconfig.py\n", "%matplotlib inline\n", "\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "sns.set(color_codes=True)\n", "#sns.set(font='SimHei')\n", "plt.rcParams['axes.grid'] = False\n", "\n", "import numpy as np\n", "\n", "#from IPython.display import SVG\n", "def show_image(filename, figsize=None, res_dir=True):\n", " if figsize:\n", " plt.figure(figsize=figsize)\n", "\n", " if res_dir:\n", " filename = './res/{}'.format(filename)\n", "\n", " plt.imshow(plt.imread(filename))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Chapter 9 Convolutional Networks\n", "================================\n", "\n", "Convolution is a specialized kind of linear operation." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 9.1 The Convolution Operation\n", "\n", "\\begin{align}\n", " s(t) &= \\int x(a) w(t-a) \\mathrm{d}a \\\\\n", " &= (x \\ast w)(t)\n", "\\end{align}\n", "where $x$ is the input, $w$ is the kernel, and $s(t)$ is referred to as the feature map.\n", "\n", "Since convolution is commutative,\n", "\n", "\\begin{align}\n", " S(i, j) &= (I \\ast K)(i, j) &= \\sum_m \\sum_n I(m, n) K(i - m, j - n) \\\\\n", " &= (K \\ast I)(i, j) &= \\sum_m \\sum_n I(i - m, j - n) K(m, n)\n", "\\end{align}\n", "\n", "Many machine learning libraries implement cross-correlation but call it convolution.\n", "\n", "Discrete convolution can be viewed as multiplication by a matrix." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ftIAfl9XNTwAzQVdbLdNnzaIow0f9phZCTKQ0w4/T4sa7EY/Q0rCDE2eeSYar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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show_image(\"fig9_1.png\", figsize=(8, 8))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 9.2 Motivation\n", "\n", "Convolution leverages three important ideas:\n", "\n", "+ sparse interactions: fewer parameters\n", "+ parameter sharing: tied weights\n", "+ equivariant representations: \n", " a function $f(x)$ is equivariant to a funtion $g$ if $f(g(x)) = g(f(x))$." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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LT5pjQ8CPHj2KtLS0mOeN8Pl8qNVqpKSk4NixYwM3CVIUeHxBvz/yIBDLMPuB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\n+uuvS6WlpZ32PJPJJD399NNSv379pFtuuUV677333GrO2O12acuWLdKkS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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show_image(\"fig9_5.png\", figsize=(8, 5))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 9.3 Pooling\n", "\n", "A pooling function replaces the output of the new at a certain location with a summary statistic of the nearby outputs.\n", "\n", "popular pooling functions:\n", "\n", "+ max\n", "+ average\n", "+ L2 norm\n", "+ weighted average\n", "\n", "strong prior: function must be invariant to small translations." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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xFPXOjoqL04zMOt/ojqVzDtQlfidzLBiYZzlG4rFjuLJufQ5qDV16zcBsNmM2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mW7duXHnllWRmZp7QhYzbty3x5PH23FJm3jGW7sOm0vvDD3j4H5sZPdyGBCIg\nFCQQFAI+P2IcTpLJgDbKTBRAcl8GRlQBsL+wkAKNloLSLlx4ViIGnY76hhAh0/u8vqArg+IiCXi9\n3HBrBhpNx23D64eefbui1WmJsrUuZOwpoQlBU5nFog/2YdD6qGmcxoNjkunX61ZuX3k3rz/yKc86\nnZx1+UMMungUNmMIB4I/5IfWwfTWlG5otF/hdbcsIZGLcHaPeHS61rYdEKIR8ouqCZxrwwGM7W5p\nGe8VainPAGi0nbn6uQf5+E//4s/LXsXVZOWWZ95gbJIXMAOwcskSGpMi0Wu8xP7sVvp2iubIURIA\nU6dOxW638+yzz/Luu+/Ss2dPJk+efGiWt3JKqYTqDNN2UdLFixezceNGJk6cyLXXXvudBjBLS8/k\nob9Dgmhabvuai/hsTwJ3WP2se/A8bnr7j2zLfY1+tiCxC/+BaBop2FJK+qC22Tbtg6mJLgPHMbZi\nAy/9cy2+Ln9j8aNTidG3BDuPzohV25+fzfwlE5Nj0AKe+hLsOmMHg9JBAq3zBNtto5NNg7b/H3n0\n13fQKart6xugtqCUYMlXlPa/n21bH6fm4B7m3TmNFz+5ibG/GoIGwef2EGp97wFnHSUaI/27J2Ix\nWNEOMCEhaZlNI04ACnasxdb9GgwIAcAnupa6tM3GkRACFG3K4eLXvuYeXSP7d63mgok3sv6WLGLj\nTbh7XszMW84mQqdBfI2U1La81PANU8t79erFjBkzKCsrY/369WRmZnLjjTeqNaqUEyYi7Nq1i48/\n/jg8G3jo0KHfeVbYofgBQZFwuxIJ0FywkQLjAPSBAzw0+Rpq//Qeb/55HLH+Lbz3l41oXBUUVxlI\nCgh0M6PTcKj9mywM6XMuAHnz/spL1V246c8vcesF6UToNcTbNOjOuou/3n4HKfFmNASwF5ZhjDQc\nNTBeWhoreAUJtXtAYyS2UwQNPSZx48wRWCJ0iK+J4lqhZONXTPj3F/zG6KJ491qmTJnJlzOv4tre\nggbwB0O0hIkg9VWVEBmFsXUSizVOS15eJb5R3YjQ6gh6vLiJpH9KHDoN6H2CNxRCkJbY1hrXxJnP\nkuwufPblRsRRydaPn2bGM6v4+ctWYrVnAXD1jTdwcY/OGDTgqS+lThfJsVZWmTZtGgcOHOCNN95g\n7ty59OjRgwEDBpxQwqx8O2rBkDOI3+9n79697N27lzlz5tCzZ09+/etfk5mZ+R3WLQrQUFVOZY0L\njcaFvaZPHR+yAAAgAElEQVSCqopyyg7mUXYwj7Wz/8lLxSaM4qEmJx7NlD7EBhqoKcniw6JI6op3\ns/Kj9ZRXVqNFQ3N1BfVOf2vC46exzkVmv5FcOGUqU89Jo64olwPVTRyobsLU+wLu6FnDrHdWUlxl\nx15VzMr/PsKKYlcHkw39NNTUHrWN3uNvJb3qYz7cWEiVvZYqey3lxVv51z1vUe0p5Y///JCiigYM\ntu6Mv2Y6kZFm0GjQG7UULPiCgtIyKivL2bh4MTndxnHlqFR6j/8l6ZU7WbejlOraWsr2rqZs72oW\nrUzm3t9diNnbREWNm4LKQsrtDTTaqyirceOrK6W63kWg7DPe/GgnDX4DSRlD+Vl8CuaY3lz3fxPY\ntOxzth+ooM5eTeHGeTy3tIDnlhbg9B57emVERATnnnsu119/PR6Ph6VLl5KTkxPunVSU49XY2Mji\nxYvJy8vjkksuYdq0aSQkJHynRF38DipLyqgsKaPWI9TUVlNRVkl5eRlFOVt484kH8Fg0EPRSazEy\nvF9nnI21FKxfRY0pRNnezXxdUEVlWS0UVlB6sAKHr+XgBL+TBmMiDcZEhk/7LS/8YQbndIGivELs\nDh/pY26iR91yFn9VQEVNDeXF23jxgXcodXkIHV5LnHWVlNd6oKmKyrpmgiIERcDUi2v/NJ4dq9ey\nbV8ptbXVFG16j2eXFOIs/px3P95JrVtHQq/BXN05lZgILWjAAuRu2UW1vZbaij0smv82XaddQe/E\ns+ideBY3/6Enm75cz46DldTWVrJrzXpyu0zivL7xOKvLqSwEe0ktTq+HxrpatIC9opZmv5eVjz7J\n8pwSAgYLAyZMYbg/huhe47itZx239axj7tzV7C+vpraqmC/eeJzl+xsIhDr4cACbzcatt97KyJEj\nWb9+PWvXrqWhoeF4vzLKd6BS1jNIXV0dS5cuBaChoYELLriA4cOHf7dFIIM1fPziX1n80X66dw+x\n4IUnWa/TUVW2BoAt+UHO/+XPiNFZOf+PD9HntwuYNbeaYGUdl/7hZ8z620NcdN/TrH3hNYrT09HP\nepj3Ip/jjgt7oPPbKTq4m8WLHuKjtsYe9BA57n4Alr54Kw+smsfjE2/ir/5fMsC5joO97+HpfrHo\nj4znwUo+/vcrHExPR9duG5G9p7P8bSdTb3+QyptbjmSr133FeY++Rq+IDfQue4hHH99HRkoURdvi\n+cPLPdFrNYhEYm54l6eerCAxSsOny3W88PGbjOxkRNv5Ola84WDKrx6m4PpeFL0zH4Cznn2fO89L\noXrdf7n/gzq6+//B08kBxujyeGyhnUDgIZ7vkcgN8Umse+oxEr2XYq3YTuCeVxjdxYzlV2/xX+/d\n/OreZ5k5KpK1e208/FTLEWfUsdbsaRUdHc2wYcMYPXo069ev5/PPP6dfv37q+ovKCdm6dStbtmzB\nZrNx7rnnkpKS8p0XkfVVb+a5B/4LwPKyLvgOzua5ui0YjXa+/HIrPl8Cf/p9N4yxUdx264X8ddZ/\n8GyJxY+Nm68o59+PLOSBZ6y8/LdFdE1y8NT/efndM39hfO84AvUHyS1ZD8AXD64O90z7HdVc8ZdP\nefjGy1j0XydX/fYRKq8dSkPWVs6579/0jDUf0TvgYvOC53hoYSVJyW/x/Bw9f/v9FAASIgwMvvlV\nXvT+iT/95XmuHRZFVoGVvz7dH+3nKXz11D+JdV5EJ/sePLc/zblpVgxUYAI+ffVPpJnvxlj4Gguj\n/8CCB6fTNarl1H/yHSv4l/dB/vD4G/ysr4O577l5/N2nGJnkZv5Dj7Cwaxfc/3iNUX1vx7HkdQ6k\npJDz99cYnnkHE9KbefKZ/1A9sQ/ly1Zx2bOP0cnagz9+8jYA/5x6G4/5S+jnzaK85294tF88xm/4\n2Lp27cqll17Knj17WLx4MaNHj8Zms6lhA6faDzZ6S/lOQqGQbN++XQYNGiSDBg2SAQMGyLp16yQY\n7Ggo5kkU8Eij3S4ef6j15rFnjTh2/lsiBz4rpQ6fBEMhCYVC4qlYL5eYR8ol5pGypubQAHhnXZ00\nOvxy3MMlA06ps9ulzm4Xd2vdJOCRgIj4nY1itzeKv3UwZigUlO3/Hiujn98kbl9T62MdlOlvKdPh\nDonD/e1r5vf4w+/J3uA+6j211Mch33VsqMfjkdmzZ0uvXr1kxowZkp+ff+o/b+VHy+/3y2OPPSbd\nu3eXu+++W4qKir6X75Pf0SR1dc2t33+/eL5h7PtXj3WVaa9ukGmvbpB6t19CoZCEQkEpWPhbsaU8\nI/vtre3L75C6ujpx+05swPXhdTvUlh11dVLX6A7fH3Jsk6nxVnlmXaE0N9oPe6zjMhvF960bvF88\nHhERj9RV10nzMWKPo65OGpt93zpm2u12mTZtmqSmpsqcOXOksbHxW75SOV6qh+oM4XK5yMvLo7m5\nGYAhQ4YwZMiQU3+JEp2J2DhTu5vHPsLRx3Snu/sz9uSWoE2JQSd+6goPUNB9CABx7RbwjLTZTrBe\nkdha139pX1cdQGQshx4SHHWlFNUWUhjYz/7qfvTpGtvxIHh9B2V+C3pTSzOKtNno6NX6w+rz7ZlM\nJjIyMhgwYAAlJSVkZ2eTmpqqVkFWjktJSQn79+8nKiqKwYMHk5yc/L1c4kgfFYMtKnwL0zf86liT\nx7JvVz4AhWXJpMSawe9if0U9qTdPJjpC1xJD9FHYDhV6kup2qC1H2WwcuttPdXE5vlgLtYUleIel\nEWfWdzjus6Myv0UtaGnSJmydj922o75jzIyLi2Ps2LHk5uayefNmzj33XLWu3SmmEqozRENDA2vW\nrAk3hkmTJp1212wypU9j5UIzr73+HCstSUR4y7FHnM28lU8DcFas4ZhB6NTxkbN8Pl+b7+FeyeGt\n9yw8+LvJWM6Q642lpqYycOBA5syZw549e5g0aZJKqJTjkp2dzd69e8nMzCQjI+O0HKTcd8Z/eTPu\nPQDmvvAMUZ0seCvrsAyZwSf3XUh85A+wUGWgis8+zmL8r+/EnfcVO8oHMbaHFcMZkJeMGTOGBQsW\nsHXrVmpqakhNTVWn/U6h069FKR1yOp1kZ2eHV77NzMw8LRtGl4ET+cvzE3/oarRjYsR1f2LED12N\n42Sz2UhJScHn89HU1ITf7/+hq6ScoQ4cOEBpaSnDhw8nKSnp9LwAtz6GYVNvAWDY1B+4Lm30Kfzi\n/r//0LU4Lj179iQ6Oprq6mo8Hg+hUOi0/N34sTjuhOqKK64Ir22RkpLC7bffzv33349Go6F37978\n9a9/PT0b7BlKWqclt/VK2Ww21XX7E6DVajGZTOj1evx+P36/HxFRn71y3KKiojCbzeo79BOg1+sx\nGo2ICF6v96gLwCsn13ElVG0fzLvvvhu+7/bbb+euu+7inHPO4S9/+QurVq1i4sTTqafizCUiBINB\n/H5/+OgiKurExw8opz+NRkNMTAxxcXE4HA6ampro1KmT+jFUvpNQKITf7ycUChEZGXnaDRdQTg2d\nTkd8fDwlJSXY7Xa8Xq/67E+h4+pCys3Nxe12c/PNN3PDDTewY8cO9uzZw4gRLSdWxo4dy8aNG09q\nRRVFURRFUU5Xx9VDFRERwcyZM5k+fToHDhzg1ltvPew0RFRUVHg2mnLyaLVafD4fQPh/5cfP6/Xi\ndrsxGAzq6FI5bm3x2e/3EwgEfuDaKN8HEcHn86HRaDCbzWoYzil2XAlVeno6aWlpaDQa0tPTsVqt\n7NmzJ/y40+kkNjb2pFXyp06j0aDX6zEYDLhcLgAcDscJjaUREdBofoBZd99S62nOkAh6g6H1EjQt\n19A63c92ncx9GwqFcDqdNDc3Ex0dTUxMjAqKynem1WoxGAzodDpcLhc+n+8Ex+IduvTM6Xn6WQgF\ng4RCoNXrD1sm5fQfgygnbb8Gg0Hq6urQaDTExcWpA7JT7Lgi88KFC3niiScAqKqqwuFwcN5555GV\nlQXAunXrGDZs2MmrpYJWqyUyMhKv14vX66W4uPi4BxiK30lZYRkOb4jTdYiieOso2LWNrE3baAiG\nEAI0lBVS2+w9besM7fatr911ISTE8Y4F9Xg8OBwONBoNRqMxPMtTUb4rk8mEwWDAbrdTX19/QgOU\nfc12fM12Csvq8YVOwxYpHioKs9m2eSsVrpbLVonfifidlBeW0XQax75j7Vc5jv1cX1+Pz+cLxw51\nMHZqHdfevfrqq2lububnP/85d999N4899hh//vOfeeGFF7j22mvx+/1Mnjz5ZNf1J81qtTJu3DiC\nwSDBYJCsrKzjnkLvLVnF9YN+zpKCJk7HWAjgq9nG0zOuZtz5t5Nd50cC5bxx3dn8/aMcAsHTtNK0\n7NvrBv6MpQUO2qoZaCyn0hk4rgBeVVVFfn4+NptNrSGjnJCBAweSmZnJgQMHKC4uPqFrQxYs/ycF\ny//JyBteZk/dkdfROw34qlj+79u49uJRvLO5DG9A8JauwVu6hpkjb2BRdg3+0/TSmPmfPs05v3iZ\nnAYvIWjdt0HqyqsJfMeAvWPHDurr6+nevTuxsbGnec/cme+4Eiqj0cgzzzzDvHnzmDt3LkOGDCE9\nPZ3Zs2fz3nvv8fjjj6vAf5JZLBZGjRqFTqdDp9OxcuVKqqqqjusoU6MR6nvWowsFW/rsw1eKby2r\n7fb/KKflNe3/7ugVh8o+Vply5PYBU7eJvPLxXzCa4mnpk9EQqu9JSKs7+nWHbefY5X9zPds9F9rV\n84jnd7Cf2tMg1PWsRyfB8HP2L/4bb+6oJfgdg2EwGKSwsJDt27eTkpJC//79VQ+Vctz69u1L3759\nycvLIzs7G6fTedxl6UJBdKEgPetD6NvazLeKB+110H6P9cwOYkTHj7feYerOzP98yQODbOh1ofA2\nQKjv0YBWAkfX83+W366e3/DWjnz8m2539J50oSA96gVdu/tF7Cx48iOq3d5vfRDs8Xj44osvcLvd\nnHvuucTHx6uE6hRTC3ueIQwGAykpKfTo0QOAnJwcPv30U2bOnPkdf2QF6TSO1V98SaTFik4TxNHU\njC/Q0tAiY834Hc14g1qMkdHERBo7HAskQQ9NTS4CGgORJnA5vYjWQHRsDCZ96yVmJITH0USTu20A\nvZaIGAsxEYbwOCgJ+WhuaMITCKHRGomxxoZf7w0QzmyCfiu3rlmDxhSDXqch6GmmydVSrsYUTQQe\nHG4/Wl0EsdYo9K0bkICXpiYH/pCGCLMRX3MF9mBn0rtaj7ogc1uZGlPLBYgtUQa8zU24/AH0Zgux\nEYT3VWSsGX9zM95Q+/0kSOfzWbN2/aF9a6/ii8XvEvr9/9HU1ERkdEvZ4X30Dex2O19//TVlZWUM\nGzaM3r17qwMV5bhZrVZ69+6NxWJh06ZNjB49mhEjRnz3FdODHrpMehCATy/UEGMzo22NB0FNBDFm\noanZjWh1REVbMHd4FV/B42jG7Qug0RsxaPy4vUG0xkgs0WYAdK0DnyTko7mxCY+/NUZYYjGFL2Ml\nBLwuGpucBAX0pmgsMebW1wYwtNsenccA8MnyVURarBi1gZb2HNQQGW3G72yJe4bIaGLNxtYYJfjd\nDhxOL6I3YtSHaKqsRZfQjYQY09HjOdv2A0ZirVHoQt7W/WLCaolEE759xH6KsWA2aCHooevkB1kx\nUUuMLQLxt4yZrSvfzJYSL5MbmmkOQWx0xP8cS7p7926+/vprTCYTZ599NlarVSVUp5hKqM4giYmJ\nzJgxA4D77ruPRYsWMWXKFFJSUr5DQ/GRs3I+c74sZfLv7+eC5AbWfbCQTXkeAIZeMgxv9mYKXVpM\nXYdxy/RxWDq4fp+vdhfvz1tFQZOVC0Yksnt7Lj5jHGeNvoBxg3sRY9Tgqs1n9fI1bC6sAEATjCB9\nyHlcPOEcEi0mNOKlcu9GVny2nv2NfvSmLpw9YRIXDEkn2nB4ELZnr2L+J+vwnH0L907rh33XKuZ9\nug4AT/cLGWmpYFNOOVp/Fy7+zXX0jzOjwUfZ1pUs3ZBDXTCClIQIyjb/g//U38tXb91OslF3WFJT\nu2sVc1esxdP/NgD+eFkv9q5azBc7d2M871f8eqyJdQvfZ1O+l6FThuHduZlCtxZT1+Hccs04LEY/\ne1fOZ866Mi6++wEu6OZm3WsP8NuPA/xs0BJW7OtEr/EXAzA4JZZvuvpNMBhk165dfP755yQkJDBi\nxAgsFosKiMoJOf/881m7di3r1q1j8+bN9OvX7zv/0AbseXy04DMAsvcJNz74W3qF9vDhghXkOVOZ\nep6VLV/l4AtCjxHXMG1sGqYjj17wkbdmGWuyd9EYlcGARD/5+6vQWdIZM3kSAIO7d8ao8VGVu4nP\nP1/PvnofGkMiA8ddyPhhvYg1aQm5G8neuIpVX+6mORQgMvksxk++kMGp8Ri0cGhQhJfc1QsBmLfu\nIOPv+AMXprrYsOgjvspxcPakIfhzt7HPAYakIdx09TjiIg2EPA18vWIZm/eWItbORGvsbHrhdSIf\neI/Hrx1IlPHw2Biw5/HRe8vJrU7gjvtn0NW5mw/f+5y8+gHcfe9kLI7dfLhgOXmONKaOPrSfep5z\nLdPGpKKty+XDBZ+xuwhufOh3dKv/GoBX/u8O5n86hv7L40jq3IdLLxpKjPHYB1cej4eFCxdSUlLC\nRRddRFpamhqQ/n04KZdYVr43BQUFUlBQIBdddJH06NFDXnjhBWlsbJTQt76yuUjV3mWSFmuSf6wp\nE1/QIfu2LpKJsSaZGGuS6C6TZM2+Omk+uFTiI4wyJ69BAh0V7amSTe/eLSZjksx8aaVUOptkx6KH\nJdWaKS9vrhSvp07evCVWet6zUMrdASl3B8TfuFfuy0iWG5/fIA5/ULzVX8j02G7y78/3ij8Ykqqt\nsyUtbpS8ubNOAiGR5t2vidk0QTZWe8Rlz5d3f22TwU+sFY8/KJ6qfJn9hziZ/Yc4MUYmyuMf7xSH\nq1SeT42TKS9vFW8gJCHXdplujpGnvigSR+12udFmlFvf/kwWvvahlHgCR1213VOVJ7NusMqgJ76S\nQU98JR5/UKr27ZRXrrDKoMfXicffLPu+/kgmRBskusskWbuvXpoPLpF4k1Hm5jdKICRStXepdIsx\nyj/WVYg/6JB9m2ZJnNEgD877UvbkFEq9NyD13qO33V4gEJCioiJ58MEHJS0tTX71q19JWVmZBIPB\nb/0ZK0pHQqGQvPLKKzJgwAC5/PLLZdWqVeJ2u79bIZ5q2Tz/ftk8/36xRk+Q5Qcaxe+ulo3z7xdL\ntEXGPfC25NY5JXfxXWKLfVYO1Lo7+L77pXp/trz9+y4Sl5Iq/125WxobimX+bQMkbuIDEjfxAdlW\n1SzuqrVyXVIveW7pNnH7AlK9bZ707Xq+vJpVLp6gXw589Kik9LxNVubWij/kkLUvXS1JVz8uu2ud\nEpRmeXVMvDy1tkhc/pBU53wq1TmfSp+EGHl4RZG4/M2yf9sSuaRzjMQmTZDleyqk8eCn0s0WI2/u\nKBdPUKTmyyfEZvmZrCislQNf/EuSYyNl7polMn/VfvH4OmiPnjrZ/M7vxRI9QVYcbNkvG965RWKj\nn5F9tW4Jeaplw/z7JDY6tmU/1bskd/FdYo1+Vg7aPS37dt59YomaIJ8dbJLGqhJprCqRrIV/FEvc\nb2V51g7Jzi0Vb/DYEcTr9cqqVavk3HPPlYyMDFm6dKm4XK7v9hkrx0UN+T/DJCcnk5yczB133EEw\nGOT1119nxYoVeDyeb11GQr8L+HMfHQYTQCTpQyZzfYaW6zO0THjmec5NtRKdkMo4jYYSu6vjcQWm\nBM4e3Aut9h4e/eX5JETGcPZlf+SxCZX8/vnPqN23jDtmp/LGn6aQGKEjMUKHPrYfD8y5l/f++BJ5\nzQHyl/yLxd3u5brRvdFrNSQMuZqnL83jV69/iSdw+IhRU1xvzj5rBFqNqXXzvRnWdzzD+o4nYvg/\nuHXyWUSZkxl333Aqm1rq7C7O5jNJZXCfJEy2XozpryPHbuPSX15Oikl31Ck3U0IGI0ePQKvRotW0\nNI2E9IGMu3gEWq2pZV8NvYgb+uqY8OwLjEy1EJ2Qxvnt9lNCvwn8Xx8temPrvh06jHFaLZ179qFP\nnx5YDDoshqO33Z7dbmfx4sV8+OGH9OnTh2uuuYbOnTurGTrKCdNoNEydOpUxY8bw9ddfM3fuXHJy\ncr7bulSmzgwY3IcBg/ugN+gxtt43eHAfDIZM7r1lGj2tkaT17PcNp6j1dO7en3POHkG/383h6lF9\niLV049qnX2fo1v8wdOt/eH9rKXuWvsiypF9z9Xn9iDDo6Dz4Cv4xZR/3vrueJncJ797yDOfffyvn\npFvRa6IYe9tfOeeLJ1m6uwbfEYPOO/cdR+e+47ivj5HICIAoug++kOv6GrnwyWcY1SuB2IQUxmh1\nVNS5CYWE6vwtSDCVNGsEKSPGc47RiidqBFec3x2ToYP2aLIx4JxB6PW6ltONEZ0ZMnQ4Br0eHaAx\ndWbI4L4Y9Gdx763T6Gkxk9ajL9q2/WTqzIAhfdC1vj4yIYXIhBQG9uuJrkcvBvTpS/8+yRi1HUcQ\nESEnJ4cXX3yRAwcO8Itf/IIhQ4YQERHx7T9f5bipCH2GMZvNmM1mRo0axS233EJ1dTVvvvkmW7du\n/Q6LfQYI0H4AaAAH4ADGpdvQajRAEAfwTZ3EAQCDoSVQtNSOzAvOQrunFpfTAVLcMiul3ShvXUQU\nGk05zQGhtqQcihtwS9vDRnqPGIF20z6aOxh5eeSkHJ/fgc/voPclfYjWado9p2XkRGRKJoNM5RTm\nF1JUnEtBSQoXDUzkGLEIAK8POGJYutfTbjAXARzSsp904f0kGML7IMBhcy8DLY9LMATipa7BTV2D\n+5iDX30+H1u3bmXRokWYzWamT5/OsGHD1GB05aTp2rUrM2bMYMiQIaxbt46VK1dSWVlJKPTt5+oF\nAi3/5Ij7hFgidS0/KwHhmIPM23j9IJp2zzJa6avR0FejYfvuUqoPlhEqrscdknCM6DlsGPqtxTia\n68lF6N8jHl3rNgkI0Qh5RdUEgke+nwBHtc/W2De2uwWDVgOEDmvP8d16ExEN9tpainduJ6/LhfRK\nikT7DUMZA/7D33UAaQmkmkP7CWJa9pOmZT8d9vwOctuAAAchEIKgx4m3g5nOIkJlZSWzZ89my5Yt\njB8/niuuuIKEhAQ1VOB7ohKqM5TNZmP69OlMnDiRr7/+mn/961/k5+d/q6UURKRl8Fy7mSYGPxj8\n4JMggiCBlvb/PyeUdK/FHQwREkECDvbs2IolLhK9Xk+sdgB+f0vqJggiIbzOGjQxOkxaiE20oBkQ\nAaHWmYYhJwU71mJNtWDQHFp3pWVyTfvZiC33BqXln090rUUc8RyTlWF9z2P3W3/ikjtepvNT7/Db\nsV3Dg107otFo8AWC+ALB1plLAaoqalrr37rvOthPbfUUEfTt87GglpZh/SZCzm28Or/ln9N9eNQU\nEdxuN5s3b2bOnDmUlJQwduxYLrjggvBFyBXlZNBoNAwePJhrr72WuLg43n//fZYuXUp5efm3T6pa\n29qhWbAd3A4KSPAbZ7dqNODzeAiFQogIflc9ZRgow0C/1ASsSRa0/c3htichJ0XZ64hNjsagN2G1\nacnLr8TvDyIiBDw+3ESSkRKHTgN6jpydJ0fdp/cJ3lDoUHtulwhGJaaTeV6Qpa//h+dn7ePxNx5h\nRFLkNw4+1hAKL0QsIgRcTUiqjwAt26DdrEhEWuNfyyLGAhCOe+2nBmogzUNQE8S+fTV76gOHJWIi\nQn19PS+//DIffPABnTt3ZsaMGXTv3l1NZPkeqYTqDKXT6UhLS+PGG28kIyODDRs28Nxzz7F3797/\n0VMVpKm6jAq/BntpDc1eHw2VZZTnQ3k+2EtqcXm9NNXVokWDvaIWh+9YAdEIBU/xxe5yamtrKd71\nGe991oU775lESp+xzOxRzaIPNlBabae02k5tRT5L33mVbjf+moxYPb3Ov4n0yp2s21lGdW0t5Tlf\nsOjzrtzzuwlY8GIvrQWNm9KaelyOeipqPfw/e+cdHmWZ9eF7+kwmnfSE9ECAEHovgkgv0kTAXcG2\nCKhrW8u6n91Vd9e1A1YQ6UiRKlIjhN4SEkgjhfQyqTPJ9Of7I2QEASmhucx9XbkumHfeMu/Me57z\nnOec37FUFqDTmzEbqimuMFJcYSSzJItiXTW1ulKKzr6ntLoeYTFQrQqg54Rn+eL5qXT1s5KRlkWV\nwXJJR1Hj2oLi06kUn06lvLKSitKTrPo8E1N1Pvnl1VQVF1Cc2XifDObG+yRDQkVxBXqzhdqyAoot\nNN5bswCVF/H+7lTqKijOzEHl74HK3wOJ7NdHTwhBfX09Bw8e5NNPPyUxMZFhw4YxY8YMQkNDnUt9\nTq47Li4u3H333YwaNYqamhrmzZvH2rVrKSwsvLw+lbUeXaEOXaEOhJGy6mrM5np0BWf/X1mFsUGP\nrrgSyCenoAzjJbTjZAoJp1fvJisvn+LSYg5s2kBqQC9SA3oxqlc4sQOmEVFxin3J+ZSUV1CUlsD6\nbQHMemwgPp5tmfZMJPt/2cPxMyXodKWcSNhNWuAQ+rT2oUFXTIkZdIUV6E0WasuKqC0rcrzWaPuK\nKMkCXb4Og8lIbZUOGVBZoqPObMNmkxIUFU6PQfcwanJ/PI2lnM4qwfDbsNI5qLzD8PeSUFFdSXVF\nOYlL3seaepKUrArqTU33qYFyXbXjPgnyyS4oo8FkQFeoQ4gGyqtqsNoEVptAItPSougImSWFJP1y\nmHqz1TGRs9vtlJeXs3jxYlasWIGbmxsvvPACffr0QavVXtPvw8m1IXv99ddfv9UX4eTakMvl+Pv7\nExkZSVpaGomJiZSWlhIeHo63tzdyufzCUK+tgtXvPce8VDMnt2UTPTieY5/8g28qzZz09OTk9jLi\n7onk2Pz/sLHUQsrWMtqMHkiUl/KCpTJz2RH+veAwcquB0rwUvnz1U+Lf+Z6XRrdFqfRhwMQ+HH9m\nFrUlI4gAACAASURBVFtsMhKPJ5O27kV2al9j0Vv3EaCSofaNZ0yHCmbNXIjBls0P//iYNu8v5enB\nrZFWHOKNae9S6VrH9mwt3bxO8szHCZhTt2GLGkZExUYe+e8utp2sxzVtF0VyH0wnNvDaomOYT26j\nyqMbvYOL+PDjb9iyfTMbN25k/fp1LP/2Y2oCR9GvvR/yi0SqWoSGU/jOS8QXHSBZpuH41j3Uu5Vx\nes92Dtf60LBtLt9VWzm5vYz2gyM5+u2/2VBqbbxPIzqQNO8lvjhpaby3wwfR2tef4OAq3vpuOzk7\nCug7dSw+vu7E+LkgkzQaw5qaGvbt28ecOXPYuXMnvXv3Zvbs2bRv3/7qS9qdOLlCXF1diY6OxmAw\ncOjQIVJSUlCpVAQFBaHVai8Z2bCWHua9x//NoZ0plMiryKvzoUdrA3Of+JgyRRV5pe60C9Pz7fNz\nKFOksv64mT5DexKgVVwwgy8/toGlP/9EUckZkg/v4dPvjby18N8MGj+KIa1aoPWLY2T7Sp5/bgmV\nhgzWvPU5Uf/4kieHt0erkBLc7T5izvzA337IxJKXwNuflfL2d+8wMNLGxg9f5stkAyk7coi+uyOp\nC98g41ACX59ofC3srnYkf/EWC8oMpOwqo3W/cE4s/ZRNRQ2c2FFG9D09kaZt5rNvl7JlwwY2btzI\nunWr+PaTI8SOH0KUtwbZRYLdUjdfohp2sOhAGfr0few4VUidJZstq8z0uRu+feZjyhTV5Ja5Exeu\n55vnPqdceZJ1x8z07Srnm6c+pFxZTa7eh1792lNjsRHgH4A2ey5LkzM5Wdmee0d3xEspw2a1kp+f\nz5IlS5g3bx52u50nnniC0aNH4+Xl5Vzqu8lIxKWSOZz8YWhoaGDPnj28+eabZGZm0rNnT2bOnOmY\nodyoh6rm+KcEPigje99jaEx65C6eaNUXnqu+qgoAo1SDl/tF9FNs9VTVGFG6eF10/2tl75tevBW4\nndXTO6CWSwFB5sqZdHiiDXn5T+J3ETmIRhqX42qrakHjhbvaRn29DaVSxbX6N9b6WuqFC27axgNI\naJRGKCsrY+vWrSxYsIC0tDR69uzJjBkzGDhwoLPM2clNIS0tjQULFrB27VokEgn33XcfkyZNIiYm\nBqVSecPshxB2kueN4HnLyyx/rBMSI7h6uqG42PmsBqrqzCg0nrhexEZYDXXUmcWl978WrFk8HNid\nQVtOMaGDHyopIGr4cUYMPw/4mX/dF4/r70gXmAx11JsleHq6Yq43gEqFqpkTJENdHXJXV5QSCWaT\niVOnTjm+O5VKxdNPP819993nFPG8RTgjVJdDiMa17XOVem+zpsIKhYLAwEAiIyMpLy/nl19+4fDh\nw7Ro0QI/Pz9UKhVSqfS6PmDCUk/60Z2sXn6KTiO60ybMF43i4sdXaDQoNBo0avnFxeikCjQaDcoL\ntGqahz77IJ+l+DA0zgcsJvQ15aTt28D+uKE8OTDqbBLqxZACUlQazVn9HCkKhZzmrLxJFSpUSilN\nEslN/RhXrlzJ3LlzqaioYPTo0TzxxBP07t3bmYTu5Kbh4+NDmzZt0Gq1pKWlsWvXLiorK/Hz88PD\nw+MG9YAT6KsKOZrwIUuq4xkSG0NogMelnSGp8ndthFSpQqNRnS0UuU5ITZxeuQFdbFfCvdRYTQZq\nSs6w/YOdBN83ja7h3heNcjchV6rQnBUIlSuVyK/DPVSqVGCzUW8wcPjwYT744AM2b95MWFgYs2fP\nZty4cfj4+Fybrb9grOO2G+tud5wRqssgjFXkFlVhNBkRSFCrNHj4B+OtVdx2PzSLxUJaWhpz585l\n/fr1aDQaJk+ezLBhw4iNjcXT0/O6GUZT/i7en7sL1xZKSmvDmf3y/bRU/74cwE3HVsvBjUtZtPUE\nHgFemIoq8ew2lsemDsJHeXml8uuJEAKbzUZ5eTkAx44dY8OGDWzduhV3d3cmTJjA/fffT0REhDNn\nysktoba2lo0bNzJ//nxSU1Pp0KEDEyZMoG/fvoSGhqJWq6/jpMzE4eVz+DHXjoetjgpVF56bPQxf\n9e01kTBVpbF2/hL2loKvykiJTk2/+/7EuL7RKH9PmfcGIIRAr9eTl5fH3r17Wbx4MdnZ2XTr1o1H\nH32Uvn374u7ufs3Ht9RVUJBfhhEao2lSLf6h/mgvtq7p5KI4HarLYMrfxVuvf8d3KxdRrgniwbET\nuOvPf2Vy79DfrRa7ldTU1LB+/Xq+/PJLsrKyCAgI4N5772X69On4+vqi0Wic4eCbiNVqxWAwkJGR\nwdq1awFYtWoVdXV19OrVi4cffph+/frh5uZ2i6/UyZ2O3W53LCNt3LgRvV5P//79eeCBB+jcufOl\nczOd3BCahmez2UxNTQ0bNmxg6dKlpKam4uXlxZQpU5g6dSphYWHNruYr2LeQt2a9y5LkDDQDJjKm\n5xBeeOlPRLupnNVrV4jToboijHw/3IdPh2wh4YlejT2XLsKvt1JywdJW4zYJEkljKPVcg9S0n0TS\ntCL06/6/d8zfvWKjkZMnT7Jy5UoWLVqEyWSie/fuTJs2jT59+uDt7Y1KpXIaxhuI3W6noaGBvLw8\nNm3axMqVKyksLAQgMDCQCRMmMGHCBCIiIpzJ505uK8rLy9m9ezcLFy7k8OHDaLVaRo0axfjx44mN\njcXDwwNorDZ22pDrT1NEu7a2FoCkpCQWLVrkaHbcr18/HnzwQfr16+f4Lq4Ltfu5O3wow348yV97\nB3OpNFPHuHTekuA5TaAlEiRCIH4zbv12HDx3/4sf84+F04pfETZMCDzgkqKQNpOBWn0DFosdhYsb\nHm6NyrRSicTRSNguUaFWWKnTW3Hx9ESrlGI16qkzmMDReLMcmV8Yfm5KsJmoqa7BaLU3Nv301F5x\nwqVaraZjx46Eh4fTs2dP5s+f76jk6datG9OnT6dTp054eXmd51g5jWPzaDKEDQ0NlJaWkpiYyNKl\nS0lOTkapVHLXXXcB8Mgjj9C1a9dmheidOLlR+Pr6Mnr0aOLi4li4cCHr1q1jyZIlbNu2jfHjxzNi\nxAgAoqKicHV1RS6XO5eqrwNCCMxms2Npb+XKlQBs3LiRsrIywsLCmDp1KqNHjyYkJOT6F64oXQiU\ngNRmPju7v3A8OH+sa2xGLZWAUV9Lw1l5eolCjdxWj8GmwNvLvbGvYsNvx7qmJtNKrEY9NbUGrEKK\n2t0TD0dz6j8WzgjVFWHg6+F+LB/yM+uf6IX6txEqYebU1pVsPJpLXaUej5CujP9To8EJ89JgLj/I\n90t+Is8URu84CZuXHSd+1nM82EHDoc3rOZhWiMQ7EFfK2Pvfebi+tZH/jA+n+MQuflyXSGGDGa1v\nK4ZMnUS3oLMzw6v4sdntdkpKSli7di1Llizh9OnTSKVSevXqxeTJk4mLiyMgIAAArVbrDOlfA3a7\nHavVSm1tLbm5uRw4cIB169Zx/PhxNBoNPXv2ZMqUKfTp0wfAWYXj5A+DyWQ6L0JSWlqKv78/AGPH\njmXAgAG0bt0aHx8fRwK787d95TRNwiwWCxUVFWRkZLBlyxaHEwUQEBDAmDFjmDp1KtHR0ahUqhtz\nMcZkxgT3o/+q4zzZN/zCptbCTNr21Ww+mk11hR734E7cO3UEUT4ykjYsJ+HEKQAaPNsRLU1nXZYX\nz740i3auRg5v3sDBUwUITz9cJTr2ffIV2ldW8vbIIFITNrJtbxp6myCowz1MGjuAAHflHy5S5ZxS\nOHHixIkTJ06cNBPnkl8zEUIgMWXy9/ufotuPKbzS08JHMZ141rYBgCVP9kDtEU6sbw1PPvwUw//7\nDb2P/MQHB+5nqPFnBj+QwubTXxGe/iVdRrzKl7vWY67XYivexYP9HmPY2h28PSiYHa+2ZeDf1BTN\nnwqA1yU1lC5EKpUSFBTEjBkzGD58OMuWLWPz5s0cPHiQHTt20KZNGyZOnAhA3759admypaNc2pkj\ncWmEEFgsFsxmM5WVleTm5pKQkMAPP/xATk4OPj4+dOvWjdGjRzNu3Dh8fX2d99LJHw6VSkX37t2J\ni4tjz549/PDDDxw6dAiAuXPnsmDBAkaOHMmQIUNo06YN/v7+aLVaFAoFEonE+Zu/BHa7HbPZTEND\nAyUlJWRmZrJixQp27NiBxWIhKCiIsWPHAvDnP/+ZLl263ELl87P5UKYsXv3zs8R/v5eX+kqZ26En\nL5p9WfBkL4Lad8Zr60sAvPKhhI+++y/H5/6TXyZOwde8kOHTklh5/HNa5S2k172v8+GGlWB1JWft\nPxn/hp7FP/+L/v4FPNKxH/meh3hrRAya6yylc6NxOlRXyfm2wYyu1Ii3p4Z+fe6mBZWU1fjT5ZE4\nXl1yBIDamd1Qqf3o2rUNUtldvDR1NF2nD2GW3I3she8gRFvCPdW07DmYnvJ3Mbj2YmoPN1K+nMFB\n21Q+butFXa2FtsOfwvO+FHRnG356cvUSBTKZjIiICF544QWmTp3Kxo0b+emnn0hPT+ett94CoGXL\nlowYMYJu3boRGxtLUFAQKpXK4Vw13oM/1o/8euHozWW1YjabMRgM5ObmkpKSwoEDB9i9ezfl5eUE\nBwczceJEBg0axMCBAwkMDLxj75mT/x1cXFwYMmQIffr04ejRowBs2LCB/fv3s379etauXUuPHj24\n66676NixIzExMXh4eDjsx53sXDVl1tjtdsckrLy8nIyMDFJTU9mxYwfHjh1DJpPRqlUrevfuzahR\no+jQoQPALW8hI4yV6PCgBRr69BqAp6SGspogOj3YjtdXJVH1l16EhrenR6duALhY/sSEAWOZsmsE\nKk830r89hLBHE+apJiTgbnoqPGhw7cHUDgb+z/c7er64jBh3G3X2YB74kxuPnyrgH0Oi0Mj/WH0I\nnQ7VVXJuxpkwpvH1ggJmPdGTnjPuZtXclznQrh/mr5KxRTVGfOx2KzYhx2o2IxQ9CVRJkbi44wL4\ntoxBpRVUVFRAwWHSgkfQKlCFRAIV1XaEejGfLw4m3lWBxWTm0dmx2OzNN0hNfQBnzZrF5MmT2bJl\nC9u3bwcgNTWVBQsWsGTJErp27Urnzp2JiYkhOjqawMBAVCpVo8CeUulIQv1fNZJNRtBms2EymWho\naKCuro78/HwyMjLIyMhg//79pKam4urqSnh4OKNHj2bo0KF0797dKYPg5H8SrVZLv379AOjduzep\nqals3LiRgwcPOp6J4OBgR1QrOjqaiIgIPD090Wg0d4yD1TQBs1gsGI1GjEYjlZWVZGZmkp2dTVJS\nEomJidTU1ODt7U2vXr3o168fI0aMICIi4hZ1Srh4hV314aUsEWN5pLMnPR4ZwOoFr3MgpieW+ccx\ntxyOXVixCRWms21ko2ODkcqkaL0ai258Wsag1goqdRUoK46SFjiYZwI0yCyl1EoE0pJ9rF6ZhVxq\noqxqLK/0D8blDxadAqdDdUUI0RgVsp6rli6s1GYkkq7uhCH5WwZP+jdf7D7K5E6BZIUksGRZo7Oh\nK8zEGtQOD5uAMBfOla3TBkQT1y+DNZ99jL5KzcfL36ezpxwp4OMF0vYv8s9ZM/FxVQBWdKcLUZ1d\n6rtePzVvb2+mTJnC+PHjAcjJySEpKYlDhw6xfft2EhMTkUgkBAQEEBERQatWrejatStt2rTB29sb\njUaDRqM5r8rnj2Ykz63LaEoOhcaWPgaDgYqKCo4fP86RI0dIT08nNzcXnU6HRqMhLCyMJ598ku7d\nu9OuXTuCg4OdEghO7hhkMhnx8fHEx8ej0+lIT08nKSmJHTt2sH37dlatWoWrqyvBwcFERUURHx9P\n586dCQsLw9XVFRcXF1Qq1XmpBX9k+9EUwTaZTNTX11NfX092djaHDx8mOTmZnJwccnNzsVqtuLq6\n0rNnT/r160eHDh1o06YNnp6et/DzC4TVhlRIEDQ5hCCs9Zzal4aiv5yalIWMmPovPtj0Cw/0jCAn\n4gArl8nRFWUhl7XD3nQrTIKzwyYAWv8I2vXNYN2Xn1NfpeL9Be/Qw0+DzKbE3VtFTeQwHnqsK24q\nGcJcS34F10VZ/mbjtPyXQVgMlJYUUt4goUJXTklJGSq5nfqqPNa9/RzWe/diKC3AlQm09pVToysn\n+dgx1C69AdixYiXx00NpWaxDkllPfn4pbpFBaBVS7HYpwTFR9BoSi0YmRWUoJuu0lPAof6IHPEb4\nv+awev9Qxnb2wW44zWdPb2Ta8v8DwFVxfZXam6pGYmNjiYmJYfDgwUyePJmMjAwOHTrEnj17OHDg\nAHv37mX16tV4e3sTHBxMp06d6NKlCyEhIQ4Jhqa/S5VS3yqD8VvD1xR+N5lMmEwmjEYj1dXVZGVl\nAXDgwAGSkpLQ6XTodDr0ej1qtZqwsDAeeOABunTpQkREhCPnzImTO5kWLVrQu3dvunTpwogRI8jO\nzubkyZPs3r2b5ORksrKy2L59O97e3nh5edGqVStHakFgYCBarRa1Wu2wRUql8oIczlvpbF3McWqK\nPgGOKFRpaSknTpwgMTGRvLw8Kisr0el02O12NBoN/fv3p1+/fsTFxREREYG/v/+Nq9q7Ciz11ZSk\npvCL3UbbGh2lZWqUWKjI+YVX38nh7/drMZ8oxJV7aeWrpk5XTkrScVTqjvyyahWx49yw6xrvhTCW\nUlqpxz3IE6kE7HYpQdER9Lw7FleFFKWxhNOn5YRFR3P/iwOYsn4nx+4JIs5XTdXJtXyU2pl/PdwJ\nl6vIFb4dcMomXAZT/lZefGYuW1JOYrNHM3BgLDJZGTt3HsJms/GPH/Zxv/9p3hz8CGdGPERXeQk6\nLw9yv1kEwMFOT/HjazF8PvFpthrNRLUaxbOfvcmAMCWnVrzC6Nc2ILfbzp5NUF/Wia+Oz2dImJai\nvfMZOWMt4x7uTfkv++jz+ldMjvcBuGkq7Tabjbq6OkpKSsjKyuL48eMkJiaSnp6OyWQCGjWv1Go1\nXl5etG3blnbt2hETE0NISAhubm6OvnRNoX6FQuFwts4tsb5exvLcfIUmw2e1Wh1Ld2azGZPJRFVV\nFYWFhZw8eZKkpCRycnLQ6/WOz2WxWBBC4O7uTps2bejfvz8dOnQgNDQUHx8f55KeEyeXwWg0Op6z\ntLQ09u3bx+HDhyktLcVisSCXy1Gr1SiVSsLDw2nXrh2xsbEAREdH4+Pjg0qlcjhacrkcuVyOTCZD\nJpOdN2G7Hvbj3OHQbrc7Jl1NkWuz2ezQidLpdGRnZ3PixAmgMV2ipKSEhoYGGhoasNvtyGQy/P39\n6dWrF927d3c4jz4+Prdd8/OChG94/plPSDYYCe/cj9ggT0wVp0k4nI7FOpjvdrxLZ0Uq74x8nJwB\n99NJpaPa053chcs41G46z3fM5ZPFOwEICgml5V1/4e2nR+GrEpz84VUmvLEem8kCjfEv6ss6MOfg\n14yIlpIw9288v82FKd207M/05I0PnqSd9x9Pod3pUF1H6mursMrccNPKkdgaB2WbTMVFfWxbJn/y\n6MioQ8VMbO3WqCslalj9UDA/Dz/Mp/fFopRJwFZPVY0RjbsX6lu8pmy32zGZTBgMBqqqqsjIyODg\nwYMcPHiQrKwshwPSFP0RQqBWqwkKCgKgffv2hIWF4efnh5+fH+7u7mi1WlxcXJBKpSiVyvOMjEQi\nQS6XX7RRsNlsxmq1nvdaU76CyWRyqJTX1dVRXV1NQUEBFRUVnD59mvT0dEpKSrDZbEgkEqRSaWO1\npkSCh4cH7dq1A6BPnz6Oa/bw8HAsTzhx4uTqsVqtjmeyuLiYlJQU9u/fz7FjxygvL8dqtTpsRxMS\niQR3d3eioqKIjY0lODgYf39/WrRogaurK66uriiVSodjdq5T1WRTLhYlb3KQzj1XU7GJzWZzFJ3U\n19dTWFiITqdz5E5mZ2dTV1eH3W6/IA9MLpcTGBhIjx496Nq1K23btsXX1xc3Nze0Wm2z28PcLhjq\nqrBJXHFzVSCxmrDKVZde7rJm8ZB/NwZvz2BCex+UUkDUsPYvUfx89w7+c197tAopVkMddWYJnp6u\nf0hRT3A6VLeQYv4VNwDrmwv4c69INDKw1BbyzfCpeC7YweO9An+3k/ntwLmCdHq9noKCAnJycjh8\n+DDHjh3j1KlTqNVqh0PUFB2yWCzU19djs51V1ZVIUCqVhISEEB4e7nDKlEolAQEBBAYGOs4pkUgw\nm80UFxdTWlrquA5ojCgVFRWRl5eHzWZzvK5QKNBoNCgUClQqFUIIGhoaaNGiBW3atKFz587ExsYS\nERFBSEgIanWjyn3TLPiPltPhxMkfAZvN5oga63Q6CgsLSUlJ4dixYwAcOnSImpoa1Gq1Q2KgyXY0\nRZGbns2AgADCw8Mdz65EIsHNzY3Q0NALKuQkEgk1NTUUFBSg1+sRQiCVStHpdOTm5jqcpabXmyLr\nTZF4vV6PXC4nODiYjh07Eh8fD0BkZCRRUVGOtl6/jaDduRTzQZehmF78jKl9WuGqkGCpK2TB6Om4\nfb6Ox/qHofofacDsdKhuIaaqU/zw1UL2VcgJVJko0qkYOPUhxvWOuG0bL18Om81GeXk5iYmJpKam\nMnjwYMfSWF5eHmfOnKG4uJi0tDQMBoPDqDYlcjYZSmh0kOrq6s6LfDVFlFxcXByG8twlQ6VSiUaj\nQSqVOqJbLVq0IDo62mF0pVIpx48fx9/fn/79++Pv73/RKJgTJ05uHk1tVzIzMwHYvHkzAQEBdOjQ\ngYaGBnJzcyktLSU9PZ2ioiJMJhNWq9UROW9oaHBMopomTQaDwTHxO9dOyOVyRzqCRCJBCIFcLncU\n2DT9NS1FhoSEEBYWRnh4OGlpaeh0Orp160bbtm0d7aOcztOlMVWlsebbRewtleCnMlJSqabfpAcZ\n3zcKhex/5745HSon1wUhBEajkfz8fFauXMnXX39Np06dWLRoES4uLpfcz2azYTQaMZvN6HQ6ampq\nHAbOYDCQn5+PXq+npqYGnU6Hn58fXl5ejqR4aIwkNc0m3d3d8fX1RalUnqeddS61tbUsXryYzz//\nnFGjRjF58mRiY2OdzaKdOLlF2Gw29Ho9hw8f5vPPPwfg2LFjvPPOO9x3332XnPCYTCYsFgtVVVVU\nVVVhsViQSCSOdlvl5eWYTCZyc3Mdy/V+fn64ubnRsmVL3NzcHEv+arUaHx8fx9J+k7P1W7Kzs3nm\nmWdoaGhg6tSpDBo0CGiMkjknZnc2zio/J83GbrdTWVnJkSNHWLZsGcuXL0elUtGyZcvLGhiZTIZW\nq0Wr1eLl5XXR95hMJhITE0lISGDIkCG0a9euWbNBFxcXgoKCqK2tZd68eWRlZTFjxgy6du2Kh4eH\nc6bpxMlNxGw2c+bMGXbs2MFXX31FcnIyAK1atcLT0/N3922qKHZ1daVly5YXfU9FRQVffvklISEh\nAAwdOhQ/P79rnjz5+fnh4+PDihUryM7O5syZMwCMGzeO6OjoC3K5nNw5OB0qJ83CarVSWFjI6tWr\nmTNnDqdPnwYgIiKCQYMGXRfnpLKykl27drF69WoiIyNp1apVs5LD5XI5Pj4++Pr6UlhYyI8//khq\nairTp0/nT3/6k6Pxq1NPyomTG0dTVDs5OZm5c+eyceNGKioqHM9dr169iIyMbFYitxCC9PR0fv75\nZ0dEOz4+nhYtWlzz8+3q6kpISAiurq5kZ2fzr3/9C4C9e/fy1FNP0atXL+fE7A7FOWI4uSaEEJhM\nJtLT01m0aBHLli2jsLDQkefk7u5OZGRks42K1WolPz+fpKQkiouL+eWXXxgwYAChoaHNmgV6eXnR\nunVrTpw4gcViIT09nU8++YSSkhKmT58ONM6QnbNNJ06uP3a7nZqaGnbt2sX8+fPZs2cPVVVVAA4H\nKiwsDG9v72Y9fwaDgeTkZEpLSykuLgYgKSmJ8PDwy0a/fo8mSYfy8nIMBgMAW7dupbKykhkzZjBk\nyBACAwOdk7I7DOe37eSqsdvt1NXVkZiYyIcffsjBgwepra11bG9yqK5HD7v6+nqSkpIcBjclJYUz\nZ84QEhLSrJmrr68vcXFxrFu3zpH0XlRUxNdff+1Iip05cyZ9+vTB3d3dOdt04uQ6YbFYKCws5Pvv\nv2f58uWcPn3aIY4Jv0aG/f39cXV1bZYNKSkpYceOHZw5c8ZR8HLq1CkGDBjQrOe6SQ4hPT3dUa1s\nt9s5dOgQhYWFZGZmMmXKFFq3bu3MzbyDcDpUTq6YJp2nkpISNm3axIcffkhWVtZ5Wi7QGBKPiIhw\nlDA3h6qqKk6ePEltba3D6dm7dy/x8fHNUidvyrn4rVOm1+vZsmUL0FiV+PDDDzNx4kRnwqkTJ82k\nqdDk1KlTzJkzhw0bNjT2Mf0NTUtzfn5+zXrm7HY7p0+fJj8/36EvBXDkyBGys7Px9/e/ZhsVEhJy\nyWW9oqIiPvvsMzIyMnj88cfp1q2bcwnwDsHpUDm5IoQQ6PV6UlJSWLBgAStWrKC6uvqi723RogU9\nevRotgNisVjIzMxk9+7dDqetrKyM3bt3M27cOEe58rXM/jQaDT4+Pri6ulJXV3eeQnKTYGhqairv\nv/8+mZmZ/OUvf6F169bOJUAnTq4Bq9VKRUUF27Zt44svvuDw4cPnRaXOpX379kCj09IcJ6SmpoY9\ne/aQn5/vcKagUd8qNTWVDh06XLND5eXlhY+PDwqF4jyplyYMBgPr1q0jLy+PmTNnMnToUAICApDL\n5U778T/MHexQNTZ+bJJklQiBQPKrQqsQNA2x5z4A56lMSBo7cze+1rhv0/aLPzRnz3nRY/7e/r/u\n9+upL3ZN51z/dcRms1FRUUFCQgLz5s1j9+7dF6iUn4uHhwdt27ZttiqwwWAgNTWV5ORkh0NlNpvJ\ny8vj5MmTREZGAteePO7v70/79u0pKSnhYuohQghKS0tZuHAhOTk5zJ49mx49etCiRQvnbNOJkyug\nKaqdnZ3N0qVLWbJkCdnZ2RdEtc8lJiYGaFyWb85zVlJSwpEjRygrKzvv+a6pqeHEiROUl5fjo+fD\nUQAAIABJREFU6el5TeeQyWTExcXh5+dHfX09wAWfyWazcfToUV577TWysrKYNGkSrVu3xsXF5eY6\nVeeMbUIIx7h1/vZGbrex7nLXc7txhzpUApO+lnqLDamicYYit9Wjtyrx9nZDjqChtoo6oxUhUeDh\n5YlaIQVrA9U19dgAibAjUXvgpbZTW9eATaJAo4L6eiNIFWjPilmq5NLGL17YMRrqqGswI4QUjZs7\nrmoF2I3U1tZjk6px0whq6xpAIsfFzR2NovFBN9fXUWcwg1Ti+LFpPLzQKqQIq4na6lqMNjsylRZP\nDy3y6/iwWq1WCgoK+OGHH5g3bx7Z2dkXdT6akEgkuLq6NtsYAhQXF7N///4LDFVRUREJCQkMHDgQ\n4JqX/nx9fWnXrh3btm373fcZDAa2bt1KXl4ejz/+OOPHj3fMNp04cXJpGhoaOHbsGPPmzeOnn366\n6BLfucjlclq0aAHQrPwpq9XKoUOHKCgouKjztnfvXkaPHk14ePg1VQxLpVLi4uLw9fUlLy/vd99b\nVFTExx9/THp6Oo8//jjdu3fH09PzJjlVNvS1tZiFDK2LgnpdFULrjZfbWUV57NRfbqzDjkTlgafa\nTt3FxjpXN1SKX8c54PJjnVpQqzeCRPa7Y53GwwsXuQSbUU91baPjahMS1O6euGuUt12Lmjt0RDBz\ncvsqdqVkYPZuDC9HS06yNrMFL/xjFmGmDDauWs/RMzXYbC3oO+5+hvcMoergZlbsSKNeo0JmKEAf\n+xAv9m1g5YqdZNZ6cHd3f1KOpWFSetO+390A3NUxGjelhHpdJjt/2smBzCKwqonq2pdhd/fA05jM\nyqU/kWmKYmx/D/YmnMCCjFa9H2BM3yDkNj2JG9ewN6UQtbuCurOVKp0fe42RUUoKknfx4497KGgw\nofWNZdjU++gW5MH1EFoXQlBRUcHq1av55JNPKCgo+F1nChqX0kJDQx3LcddKk2Lynj17LjCITZpX\nhYWFALi7u1+TcXJzc7vixHmbzcapU6f46KOPMBqNPPDAAwQFBTnD906cXAKr1UpKSgpz5sxh8+bN\nl0wROJfAwEACAgIAmtU8uGm578yZMxd1qFJSUkhJSaFHjx74+vpe9fElEglBQUFX7PQZjUbWrl2L\nwWDgr3/9K/369Wu2jbwirKXsWb2aX3Lt3NUvluPffU5Vl9m88PgAABTVaWxau4mjuZVYrN70HjOR\n4b3CqTmyhVU70qhTKpA1FKGPeYDn+lpYszaB9Co37urqx6nkDExyL9r0HsCAzjF4qKTU67IA2PXz\nLg5mFGG3KIno3Jthg3ribTrBqhVbyKgPZ3RfDw4knsRilxDVczJj+rZEKfTs27yOxJR8VFo5+tIS\nOj70d4a0FCRtX8/Pe9MA0NsEwR3vYdK9AwhwV95ekSpxR2IVpdlJ4ttZ3kLlFShUXoFi/s8rRdu2\nbcRn+1LEJxM1IvzF5aLYZBGF+z8VAZrxIrEsV7yi1YqPDxYIfYNZ5G56RQz5915hrCsW+xc9K9TK\nAPHwZ1tFib5WHF/7ugj1bCdCPduJuQeLhclYKRY85iEin10pCuutwlJzUrzYKkRM/yRR1NUVi92L\nnhVqpYsY+H9LRXadUaStmSXUqg9FmcEizKeXCm2Ht0RaeY0wWarE4qkRYvHUCPF2QrHQ524U/TVB\n4p9b0oTZWid++ntLoZ6yUFQardflLtntdlFZWSnWrFkjxowZI9zd3YVEImlsFX6Jv9DQUPHJJ58I\nvV7frHMXFRWJl19+Wcjl8ouep2XLluKDDz4QH3zwgTCbzdd0DqPRKBYuXChcXFx+9zMBQiKRCJVK\nJWJjY8Xrr78uzpw5I+x2e7M+oxMn/8tYLBaRnp4u3nvvPdG5c2eh0Wguaz9Gjx4tEhMTRWJi4jU/\n10IIkZCQIPr3739J+yGRSMTgwYPF3r17hdV6bfayvLxcjB8/XqhUKqFSqS5rP9zc3MTdd98t1q5d\nK6qrq6/5s10depFxcKkIcteKFiGvizn/117Ex70gThRlixNF2WLuA54i+oXFIs9gEgUH5ogwj4li\nZ36WeNXbS3y857SorjeLvC2viZH/2S1qq4vEgaUvCHdtsJj24UaRX1Mtkta/I6L92otPdueK+oZK\n8f0sf/H9LH/R+tklIrvWJMw1J8UrcZHiof/uElXVRWLP0heEm9ZNDPj7QpFeVS/SfnxKeLj+V5yp\nNArz6eXCu+vbIrmwUhgtVWLZtFjxzvbT4uj8p0VA2CNie7pObE/XCUt1kngw3F0892O6qLfcXjb4\nDo1QyfCLiKdXp+6obY8AcF//cUzaMwR76Y/4b7Tz9b4eyPW1yCL7cp/HuxzPqUQEtGDj8hWEVvci\nyrc/j7bxRq7xp0PHKKTS53j7obvwc1Hgf+/f+OegTwB4+JOfGfN3KTMXtWRTzigC1DKkmja8vPh5\nAvt9zhMPfEvnrm2QStvx95ljCdOqMMe0QyppzFEyWyFAt4Ely6IY0COO0KnvAODX0o30zZ9w0DaV\nj9t6UVdroe3wp/C8LwWdzY4nsmZ77hKJBC8vL0aMGEFoaCjBwcH8+OOPVFRUYDabL7pPU/5Ucyr8\nhBDk5uayZcuWS+ZalJSUsG/fPgAeeuihS6qs/x4ymYyAgACio6M5ceLEJaNvUqkUNzc3unTpwsMP\nP8ywYcOarY/jxMn/OnK5nFatWvH4448TFhbG/PnzHRIrl3quw8PD8fPzc+x/LdhsNnbt2kVmZuZ5\nyejnIoTg6NGj5Obm0rFjRzQazVWfR6VSER0d7bA9paWlF7UhCoUCPz8/Ro0axbRp04iPj7+gYfON\nQ0tMpzgGyOW0+vZBHhr4dx58UYKscAUAd22w8OHPXVE36FFE9Ga8x79Iya3A5t+CzStXEaTvQyvv\nPkxv44PKxZ/49pHIFc/w+oN3E+yuJmTUX3lr0Bwe/WIbIz1UPLk4CIDlSSNo6aZEThv+tuAZwu/+\nmscmz6Nj51jk8na88Jd7ifTQYI1qi1TWmNRvtkFA5WaWrwhlQK94gie9jk+okUXjv6XnyyuIcW/8\nLuvswTzwJzceP1XAP4ZEoZE3L1f3euLMrHXixIkTJ06cOGkmd2iEqhGjBWJiG/s7SaUSNF7uGApN\nSFDz0+rVVPgqkUpMeP55FrFeofSf8yrrn/svz6/5hIY6b2Z9tggbYAWEUoGMpsoDDW3vjgNA9o0O\ng0EDIh/rObMymcYFJMXU2QRWCwjccZFLQAJW8WusWBPenw//lsjLc95g0QcGakLGArBs4Rh01TaE\nejGfLw4m3lWBxWTm0dmx2OzXN3KiVCqJj4/nH//4B507d+a///0v6enpCCHOm5FJJBK0Wi0+Pj7N\nSkivr68nKyuLvLy8S85krVYr2dnZQGMZ9D333HPV55RKpYSEhNCpUydSU1MvOpuVSCT4+fkxadIk\nZsyYQVRUVLPa3jhxcqfh4eHBvffeS5s2bZgzZw5r166lvLwcOL9ySyaT4evri9vZgp5rjQAXFRVx\n8uRJqqurfzfnU6/Xc+DAAbp163ZNXR3UajWdO3dm06ZNAJSXl19gQ5qS15966imGDh2Kr6/vzS9m\nsdqpQ6BVgAQ5Wq0EvblJ6kHDz+t+pCrABbnEhNvkR2ntE86Aj19h84sf8tL6OTTUefGXD+czUoAN\nQCFH6hjrXIi9qy2Kbyupr3VDQj4AFmFrHMAkIFO7IJGUoLfasVoA3HGRSpGcHeuaSgxdwvry/rP7\n+L8v3mXpx3XUBI/m+7mh1EhAWrKP1Ssb87PkUhNlVWN5pX9w45h5G3HnOlTirNdiFmf/e7aEU6bA\nQ9KeyY8+xOBgD2QSMFYXUmnMY+GJluw5fBRrTSGHV73HxLd+4rExMbgggfAKGmx27EIgsRk4mXQE\nAHevKchlctylcVgt1sbtCMz6CiSuUlSSs9fSdA2Cs78yG3YhqE9PpKD9Sxw99i4VeaksfWIMAJ9v\nnMbL7iBt/yL/nDUTH1cFYEV3uhCVqvnLfb9FLpfj7+9Phw4d8PPz48yZM7i5uVFVVYXZbEYIgYuL\nC5GRkde0/HYuRUVF7Nq1y1GOfDGEEOTnNz68u3bton///le9zCiVSvH29qZly5YO4y2RSBxyDwqF\nAqlUSnx8PNOnTyc2NtYpl+DEyTWg0WiIiYkhJiYGd3d3hBCYzWYMBgM2mw0hBCEhIQQGBjZ7wrJv\n3z6ysrIumZbQhNlsJjExkZEjRxIWFnbVz7ZcLicsLMzRwuZcG6JUKpFKpajVaqZMmeLQoboVaQLC\nytkKPBBnvRyJrFEj0EPajknTpzMs0gfF2bGuyljMop+C2LZnP0JfwpG1/2bqf7bx0KhYvJFAmA6j\nsDnGurQTR3B1H41cIcdN2g4Am9neOOFGYDbokLiCUto0xjW+LoQA+69jnT5jH0XtnmPfgTepzD/F\nimcm8PXPd+HvpkAVOYyHHusKgJtKhjDXkl8B8tvMHt9eV3PTEBiqSimpaIC6cqgrp7RSj10IXFrd\nzeORZcz/fgf5ZToqy/LZ/uWbbD5TzeZX32FrVilC5UWHYWPo1uBy1rtWQMa/2ZVaRIVOR/6Jn1m2\nJYBlWwKY/dwQQlr35+GIMtau3ktReSW6kkw2LJxHywdn0kprobJQhwQj5bpqjCY9FSU6JJzhdEEF\nJmsRf/vPGnKKa1B6RzDo/kkMun8SGq2amIGPEl6yltX7symr1FGSf5QPn/6WYrOVS8/LrvGOCUF5\neTnbtm0jLy+P/v378+qrr9KzZ0+8vb2Ry+V4eXnRqVMnPDw8rtlw2Gw28vLySEhIuKTwXxM1NTXU\n1NSQmppKfn7+ZSsQL4ZGo8HPzw+5XO7IlYqPjyc+Pp4xY8bQpUsXTp06xapVq6irq7umz+TEyZ1O\nU1uWhIQEAGbMmMG0adNo1aoVWq0WqVRKq1atiIyMRK1WX3MOZkNDA4mJieTk5Fwyf6oJIQR5eXmk\np6ef1zrrSpFIJPj4+ODu7u6oNJbL5QQEBDBgwABGjRqFu7s7q1ev5sSJExcVAL3xWKjR6ZAJCXXl\npVQZLAgB2pgBaGMG8FiEjkVLd5JXXI6uLJ+dX/+TTbkVbH7jfX5OL8Cm9CR+yCi6mt2QCYFAAVkf\n8kvKGcrKdeSf2M7Kn/149Il7CGvbn+kRFUyPqGDzj/s4U1KOriSLTYu/JHDyI8S426kp1CEwUl5Z\nhcloQFdciSCf7IJyjNZiXv5wDRkF1Si9wxl430RcvGOZ8tJAjmzbybGcIo7lFFGpKyf7wHL+vS4T\no+X3v+Objez1119//VZfxM2ngYSv3+D575IINubgWnKEEzV+9O0ejUbuSd+Jfch48Wl+0EsoSJjH\nkeDHeW5oCNWrv+Oj9FLUlmJ++mgl/d9+gt7RXlgrjvLvBYeRWfSU5p3gi1c/If7thQQMnsBLo9uh\nUvkwYGJvjj8zm81WCWnrXmSH9lUWvTUJ3+r9vDntPSq0teSWetIhspY5Mz9Cp01jzREr9wyMIuG7\n/3Aqt4Ts9KNsStCwL0PNX5+5l4jwjtzbVfD0E5+hl1awed5Surz5Nv1DXJFe55lQQ0MDCQkJfPTR\nR7i5ufHKK68wYcIE+vbtixACnU6HVqtl7NixxMXFXbOop06nY9OmTezcuZOGhobLvl8IgVQqpWXL\nlrRv3/6qZ5lCCAoLCzl8+DAuLi4MHz6c559/nsGDB/PUU08RFBREYmIixcXFhIaGEhER0WzBUidO\n7jRKS0v55ptv2LZtG2PGjOGxxx5j3LhxhIeHYzKZqKqqonPnztxzzz34+/sjk8muKRp8/Phx1q5d\nS2ZmJhaL5bLvb4qsx8fHX5N2nsVi4dChQ7i5uVFQUEBERAQPPvggL7/8MpMmTaKgoICjR486HEYv\nL6+bG+W2FrPin++yqbSeupwkjP7d6RTVArncA6Tu9BrXi+zXXmRVlZUzu7/mWMB0nhoahn79Yj49\nVYzcUsLPn62i1yuP0qe1H3bdMT76/jDCWEvJmVS+eetzYv8+jxfGdkSr8aXfuF7c9afxpL7yLD/V\nWzm58R/sVP+Nb167n2D9Yf752H8oU1SRW+pOu7A6vn76M8qVqaw7aqZ/v0gSl37CqdP5ZKcfZ3OC\nilmzR9Fz0BjaVa7k2a+O8NP2/VhKjjF/u4Tnnx1NkJvCKZvwR8FQWSlq9BbRWJhpFUajEEIYRWWp\nTugbfi3XrD7+qXCJ/1wU1ZlFta7yvG0XO6auukFcccW91SisQgiLoUbodNXCYrcLy293thpEpU4n\nGm5QCanNZhPJycli3LhxIigoSLz88svnlf1WV1eLxYsXixkzZohDhw4Jm812zedKSkoSI0aMEFqt\nVmg0GsefXC4XEolEKJXK817XaDSiRYsWYsaMGaK2tvaqz2exWMShQ4fE888/L9577z1RWFgo7Ha7\nQxKhpKREvPHGG8LX11dMmTJFZGRkOOUSnDi5Csxms/jmm29E+/btRZ8+fcTGjRtFQ0ODY3t6erp4\n8cUXxZw5cy54/q6Wzz77TLRr1064uLg47INKpRJSqVTI5XIhl8uFWq0+z360atVKrF279rxrulJq\namrE/Pnzxfz588Xs2bPFxo0bRU1NjWP7gQMHxKBBg0RERISYO3euKC8vvy3th76yUtTUmc+OdZZz\nxrpKUXfeWDdHeHedI7Ir6kVN5fnbLnbMyqsZ6yxGYRFCWPS1orKyRph/s6NFX3t2W92VH/Mmc+fm\nUF0BLuflAsloXNpX4eX36xq/sNSTl1+NR1kOh07fy7D2QSh/R1XTxcsLl6u5CJkKGYCLO96X2lHm\ngtclNzYPIQRVVVUkJiaSlJRE165dmTx58nmidE1Jp01tWa51uc9utyOTyYiOjnbkUUgkEsxmM9nZ\n2RQXF9O+fXt8fHzOW95TqVRERUVRW1t71erKMpmM1q1b8/TTT+Pu7u5IiG3C19eXwYMHs2fPHg4e\nPMiaNWuYNWsWrq6u1/QZnTi5k7DZbGRkZLBr1y7MZjPjxo2jc+fO5+VJtWrViqeeegohRLPkSCwW\nCx4eHnTr1o1WrVoBjXmSVVVVpKSkOHKdzrUvAN7e3iiVSsxm81UvNTZFtQFGjhyJh4fHeYKkcXFx\nDB06lC+++IKVK1cSGxtL7969myVaeiPQnjfWyS851uUX1uBelsWR08MZ1SUMtezS35XWy4urEoeQ\nqxqTurVueF1kR7m20TZfbNvtgkSIyyeeJCUl8Z///Ifvv/+evLw8XnrpJSQSCTExMbz22mtIpVJW\nrFjBsmXLkMvlzJw509EW5H8dU/5O3p+zC20LJaW14cx+eTKhmuufFH6raGhoYOfOnbz++uvY7XZe\ne+01hg4dekMMgt1ux2g0YjKZzuvzpNPpmD9/Plu2bOHVV1+lb9++F+wrlUpRqVTXpCdzOerr69m0\naRNvv/02Pj4+vPHGG3Tv3r3ZzZ+dOPlfRghBSUkJc+bMYfny5dxzzz3Mnj2b2NjYG7JsbrVaqa+v\nx263O6qDpVIpR44c4Y033qBjx44APProowQHB5/nuMlkMrRa7Q2pwCspKeG9995j9erVPPzwwzz0\n0EO0bNnyD1fgYipI4IN5CSg8pFToI/jL8/cR6XabKZXfYi776/nqq69Yt26dY6B69913efrpp+nR\nowevvvoq27dvp2PHjnz//fesWrUKk8nE1KlT6dOnz23nhd8IVC0H8uq7/5vOo91uJy8vj7Vr11JR\nUcHMmTO56667btj3KpVKcXFxwcXl/GibzWbDxcUFuVyOh4fHNTc0vVY0Gg09evRgxIgRrFixgtWr\nVxMSEkJoaKhT3NOJk0tgNBpJTExk27ZtREdHM2HCBKKiom5YDqJcLr9oOxdPT08UCoXDrri7u99U\nYV5fX1/Gjx/PiRMn2Lx5M23btnXYsT8SqpC7+Pvbd93qy7itueyoFBoayqeffur4f2pqKt27dweg\nf//+7N27l+TkZDp16oRSqcTNzY3Q0FDS0tJu3FU7uSlUVVWxdetW1q1bR9u2bRk5cuQFS2I3A3FW\n70oI8btd6m8UEomEgIAAxowZQ1xcHLt27WLPnj1XlDTvxMmdiBCC9PR0li1bRklJCQMHDqRdu3a3\nRMPNbrc7bEfTv28mMpmMTp06MXHiRAwGA5s2bSInJ+eKkuad/LG4rEM1dOjQ88KgQgiHZ6/Vaqmr\nq0Ov15830Gq1WvR6/Q24XCc3C7PZzLFjx/j222/x8PBg1KhRxMTE3LERGYVCQZs2bRg2bBjl5eUs\nWLCAkydPXrY024mTO5GKigpWrFjB4cOH6dSpE3369GlWfuUfHTc3N4YOHUr79u3ZvHkzmzdvpqys\n7KY7d05uLFe9bnLuUovBYMDd3R1XV1cMBsN5r9+KSMZvEUJcZz0mgd1mxWq1XXedp9sJIQQFBQWs\nWbOG0tJS7r33XqZMmXLH5wx5eHjQp08fevfuTWZmJsuXL6eiosJpFJ04OQer1crevXv55ZdfCAwM\nZNq0aXTs2PGOtx+RkZEMHTqUoKAgVq9ezdGjR69rlNs53t16rtqhatu2LQcOHADgl19+oWvXrsTH\nx3PkyBFMJhN1dXWcPn3aUWVx67BSU5yNrs7EdRvvhImirOMcPJqO3naFS09CXKfzi5s2cNfW1rJz\n507WrFlDXFwcEydOvC0c5NuBqKgopk6dSkBAADt37mTv3r3O0L0TJ2cRQnD69GmWLFlCQUEBw4cP\np1OnTjekWOSPyMiRIxk2bBglJSX89NNPnDlz5jpFuc+Od7XXc7wzUnQ6mUPH0qi1XMl492tqxnU4\n+R9yonrVDtWLL77Ip59+yv3334/FYnH0J/rzn//M1KlTmTZtGs8888yt73dmLeKbBzrwxqqTWK7U\n+bkc5mJWv/8AI/rM4milhSs5qrWmiFLDdVAuFwaKSg2cVe6/YVgsFpKTk/nmm29wcXFh7NixdO7c\n+Q9XkXKjcHFxoWvXrowYMYLCwkIWLlxITk7OLcntcuLkdqO2tpaVK1c6lvqGDBlCUFDQHbvU91t8\nfX0ZO3Ysbdu2Zc2aNezcuZPq6urmH9haxIKHuvPWiuPUXy/1cHMpP/53OqP7zuRAsQHr5d4vDBSX\nNv7ZmztGiet0nJvMFY2SISEhrFixAoCIiAgWLVrE8uXLeffddx0VG5MmTWLVqlWsXr2aoUOH3rgr\nvmIk2HQR2CRShzPza0i0yZO+8qMJIRDKcJ76cjU9larzb5y4iGd+1vPJ2fAm84+VY7WJ3x7wkt78\nr0nYjlewVe7nX/OPYbHasFh/+8Bc4ljnHONy4WCbzYbNZuPMmTP88MMP5OTk0L9/f8aNG/f/7J13\nfFR1uv/f05NMZpJJL5CQQEgoQUpAlKUpiqiLFddydUVdr+vuurvuVXf17l73uuu67f62qVvtoiCw\nWBCkNwtICYGEQHpvk8lkev/+/gjnEJBeU8779eKlyZScOXPO93m+T/k8ijL4MWRkZDB//nyuuOIK\n9u3bx/Lly5WxNAqDnkAgwJYtW1izZg2xsbHccsstjB49+uIPA+7jTJkyhdtuu434+HiWLl16nsbS\nqAnbhhFSqUH0OK/nbu+y+c5f3uHKWDPHJmtlG3XkN4Q7d/B/b+7m/97cjdd3TBDhTO3d4ffy+o8f\njPjqazgje3ehGLBXejhk4eHNm0Efi16rJuxz4fQGUOmNGPDh9oVQa6IwxfW00mpPsoOKhPy4XG5C\nYRU6jRtv7y9LRPA47Lh8QYRKj9kSR7RO4O5qB2DzB28S/t7TOJ1OYmJNRGlVJ3iNGhBEAl66u12E\nUKPRR2M2xyC83Rxa/wl7QtfTfdhwR8fEEhulBRHB53bi9AYANVGxZmKjdKhUYdwOJwGhIcaow2O1\nIWITscQaON5HtdlsACxbtoylS5cyatQofvCDH1yygZ59nTFjxvDggw/yzDPP8O677zJixAhuuumm\nQSEVoqBwLJFIhD179vDaa69RU1PDo48+yrXXXquUChwHlUrF3XffzaFDh3jnnXd48803SUpKYtSo\nUWe9eQ2H4nlwzVrQxxJjOLm9O5mtg2PtnReviPTKxghCPjfdDg8hoSLKFIc5Wk/I203F5nUU+68C\noMvpQKjMGKO0qEQEj9OOy3vE3kXp1KhOYu8qNq1lj/9q7E4HgsPvc9jqhgJeHN1uwoBGbyTOFI1G\nHTnG3nUhjAlYTMe3dxeKAetQde5bz6KVW/Bd9iA/ml9AV8l6Fq3eQmDYHKaYm/m8rBlNOIPrH70b\ngNEJ0RxP4FwEXFSWbOOzL0qwBaLJSLGyPXy4SE9EcLXv58OlH7CrrptwJIkZt97JdZcb2fyPnwDw\n3RUB7ij8gNVVyYy8dj4T06PwHPc1WRjCTvZ/tpLVn+zCqYkhYB7BvQ/cgX73Yh7//l/5rEjHx7m1\nAFhyruKGqUPx2SrZuHoDXxxqhnAUIyZP57qrppAaY2XTe++xrV7DVbML2PWP/4d96hM88+2ZmHRH\nByaDwaAsc7F8+XLMZjP3338/o0ePVpypE6DT6SgqKuL222/npZdeYsWKFYwdO5b8/HwlPaow6Ghv\nb+ejjz6iuLiY6dOnc+2115KcnKysHyfAZDJx1113UVJSwubNm5k8eTKpqakkJSWd1Tnr3L+RJau2\n4Bp9Hz+YPxrHvo0s+WQLnqEzmRzXxo7yFlShNOZ+604KU2KPa+ugx95V7fuMz7eXYPXqSU+x8UUw\niJQTCblt7Fr3IZ98WoYrBEMmXMOCm2bi3rGMJx9/mS1je565amgdqSNmM29qNn5rGSv//RG7amwE\nw4l87aYFzLsil6iIk9IvVvHJJ7twqAz4TSO4+/4FRO9byhOPv8yWcRFWZdWRMmI28y7PQR3sGWC9\n/7N1rN20D6cIYRwyjqvnzWF8upety5ezpRZmzchnz2svYi/6Lk8+MhuL4SK6Oed/mk3fwGc7JN56\nNEFM/NVG4QmEha/tkHjr8URhMKaIX/67WDjdjeJP2Ynixpd2ihtf2im8wePNn4uI9i+z6b5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jLsrWworqRi3zb+8Zu3KXjktzx5RxFxOs15a9y60KiEUrRxGoRw2ByIGAtmQxiPJ4TB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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show_image(\"fig9_9.png\", figsize=(10, 8))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 9.4 Convolution and Pooling as an Infinitely Strong Prior\n", "\n", "Prior: weak or strong <== how concentrated the probability density in the prior is.\n", "\n", "We can image a convolutional net as being similar to a fully connected net, but with an infinitely strong prior over its weights: the weights for one hidden unit must be identical to the weights of its neighbor, but shifted in space.\n", "\n", "convolution and pooling can cause underfitting." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 9.5 Variants of the Basic Convolution Function\n", "\n", "4-D tensors: (batch_size, height, width, channels)\n", "\n", "Three zero-padding:\n", "\n", "+ valid convolution: m - k +1 = m - (k - 1)\n", "+ same convolution: m,补零至核中心\n", "+ full convolution: m + k - 1,补零至核边角\n", "\n", "see [details below](https://cn.mathworks.com/help/matlab/ref/conv2.html)." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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oshp5MFxNr14DmfjcvJD0U2RmZkZ8vnAwf57QfP40d5xr25BOfPAeOQMHMuet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\n2nZL/kh9N2LHHlJbGW8+2zyrO59vqN9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k8QDqeTh2nr9/iIgIMEkpZXUXgsivNuOA44ur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Yts375dbt26JVeuXJlx3+fPnyU/P18mJiZkZGQk8LMKzvj4uFit1hnXDhw4IM+fPxcRkZqaGnn0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\nBQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show_image(\"matlab_conv_2d.png\", figsize=(12, 8))" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ 0.35212801, 0.37922789, 0.65163256],\n", " [ 0.59534513, 0.74098237, 0.42971692],\n", " [ 0.73934346, 0.73590775, 0.10633755]])" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "A = np.random.rand(3, 3)\n", "A" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ 0.20413973, 0.24286469, 0.83290138, 0.30052197],\n", " [ 0.93643405, 0.41111035, 0.60742698, 0.0043744 ],\n", " [ 0.20255814, 0.3365866 , 0.26242548, 0.85468478],\n", " [ 0.64287861, 0.38078144, 0.22940042, 0.62623427]])" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "B = np.random.rand(4, 4)\n", "B" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def gen_kernel_fn(kernel):\n", " def kernel_fn(a, x_start, y_start):\n", " x_size, y_size = kernel.shape\n", " a_slice = a[x_start:x_start+x_size, y_start:y_start+y_size]\n", " return (a_slice * kernel).sum()\n", " return kernel_fn\n", "\n", "def calc_conv2d_res_size(a, kernel):\n", " res_x_size = a.shape[0] - kernel.shape[0] + 1\n", " res_y_size = a.shape[1] - kernel.shape[1] + 1\n", " return res_x_size, res_y_size\n", "\n", "def conv2d(a, kernel):\n", " kernel_fn = gen_kernel_fn(kernel)\n", " \n", " res_x_size, res_y_size = calc_conv2d_res_size(a, kernel)\n", " res = np.zeros((res_x_size, res_y_size))\n", " for x in range(res_x_size):\n", " for y in range(res_y_size):\n", " res[x, y] = kernel_fn(a, x, y)\n", " return res" ] }, { "cell_type": "code", "execution_count": 71, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ 2.25524107, 1.82679291],\n", " [ 2.14415575, 1.6570156 ]])" ] }, "execution_count": 71, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# valid convolution\n", "conv2d(B, A)" ] }, { "cell_type": "code", "execution_count": 68, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def calc_2d_pad_width(target_size, real_size):\n", " pad_x_width = (target_size[0] - real_size[0]) / 2\n", " pad_y_width = (target_size[1] - real_size[1]) / 2\n", " return np.array([[pad_x_width] * 2, [pad_y_width] * 2], dtype=np.int)" ] }, { "cell_type": "code", "execution_count": 81, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def zero_pad_and_conv2d(a, kernel, target_size):\n", " res_size = calc_conv2d_res_size(a, kernel)\n", " pad_width = calc_2d_pad_width(target_size, res_size)\n", " a_pad = np.pad(a, pad_width, 'constant', constant_values=0)\n", " \n", " return conv2d(a_pad, kernel)" ] }, { "cell_type": "code", "execution_count": 82, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ 0.98847255, 1.71888185, 1.64232006, 1.17086158],\n", " [ 1.29107212, 2.25524107, 1.82679291, 1.59511597],\n", " [ 1.43133448, 2.14415575, 1.6570156 , 1.63554738],\n", " [ 0.93613643, 1.13343863, 1.44076255, 1.01712864]])" ] }, "execution_count": 82, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# same convolution\n", "same_conv_size = B.shape\n", "zero_pad_and_conv2d(B, A, same_conv_size)" ] }, { "cell_type": "code", "execution_count": 84, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "full convolution size: [7, 7]\n" ] }, { "data": { "text/plain": [ "array([[ 0.02170772, 0.17605365, 0.41822408, 0.82445577, 0.83695663,\n", " 0.22218895],\n", " [ 0.1873004 , 0.98847255, 1.71888185, 1.64232006, 1.17086158,\n", " 0.18214847],\n", " [ 0.55696519, 1.29107212, 2.25524107, 1.82679291, 1.59511597,\n", " 0.74033208],\n", " [ 0.76561571, 1.43133448, 2.14415575, 1.6570156 , 1.63554738,\n", " 0.97337498],\n", " [ 0.40824929, 0.93613643, 1.13343863, 1.44076255, 1.01712864,\n", " 0.67378397],\n", " [ 0.41892063, 0.49192708, 0.52026328, 0.62915348, 0.31826381,\n", " 0.22051462]])" ] }, "execution_count": 84, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# full convolution\n", "full_conv_size = [x1 + x2 for (x1, x2) in zip(B.shape, A.shape)]\n", "print(\"full convolution size: {}\".format(full_conv_size))\n", "zero_pad_and_conv2d(B, A, full_conv_size)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Comparison of local connections, convolution, and full connections.\n", "\n", "convolutional layers $\\to$ tiled convolution $\\to$ locally connected layer" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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GiI2NFW699VYhNzdX6O/vt6s9gnBOp1OnTglPPvmkcO+99wqlpaXDerb4UzQ0NAjPPvus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I8fHx1NTUcPDgQQoKCggLC6NNmzZ+MSg2m40jR46waNEijhw5wp133snYsWNJSEho8HdfC7Ul\n6CwWC5s3byYsLIyYmBhCQkL8Iie73c6hQ4dYtGgRWVlZTJs2zefI/i74b3uSTqdTTJ48WQwYMEDk\n5eWJiRMnin379gkhhJg6darYunWrqKioEIMGDRIOh0OYTCbfvwMZj8cjLl68KKZOnSpiY2NFq1at\nRGVlZYOfFXk8HvHRRx+Jtm3biri4ONGnTx/xwgsviC1btgin0xlwe9Rer1fk5+eLpKQk0a5dOzFr\n1ixRUlLSoGdFHo9HFBcXi08++UR069ZNJCYmiieeeEIUFhYKq9UacDISQoiCggLx5ptvirS0NNG8\neXPx+uuvi3PnzjXoOz0ej6iurhYLFy4UTZs2FU888YTYtm2bT06Nfe75a5SUlIjp06eLjIwMkZGR\nIU6cONHga4XX6xXLly8XvXv3FnFxcWLcuHFiy5YtorCwMCBlJIQQpaWl4pZbbhGpqali6tSp4uTJ\nk8LhcDSo7lssFrFixQrRq1cvodVqxYQJEwJ+Hf8l/zVCe+uttxg0aBCnT5+mb9++LFiwgH/84x9I\nJBI8Hg979uxBoVDgcDjIzMxEoVCwe/duUlJSAi7iuByJRIJaraZFixZIpVKysrKorq6mVatWvq7N\n9RmFiJ86UJ85c4ZnnnkGgLFjxzJ69GguXLjAwoULSU9PR6PRIJfLA6aitUQiISIiAo/Hw/79+9m9\nezd6vZ6UlBTCwsLq1mn3V3A6nRQUFLBixQoWLFiAzWZjxIgRjB07lg8++IDKykq0Wi0KhcLvvdB+\ni4iICDIyMtBoNJw9e5a9e/diNBq5/fbbCQoKahBdKiwsZPny5SxYsIDhw4czceJEysrK+Oyzz9Dp\ndISHh6NQKALKu66dcxEREeTm5lJeXk5sbCzh4eH1rktwSZ/Kysp46qmnKC0tZcSIEUyaNImioiI+\n//xzMjIyCA4ObpB314WwsDAUCgWnT59m586dlJaW0qRJE7Rabb3rk8vlwmg0Mn/+fGbPnk1RURFD\nhw5lypQpjXLPs078lrVbs2aN+Pjjj4UQQjz22GMiivnNpwAAIABJREFULy9P9OzZ0/fzPXv2iBdf\nfFGsX79evPPOO77vv/zyy2L37t0NYoEbipqaGnH//feLpk2bipiYGHHnnXeK5cuXi9LSUuF2u6/Z\nM3K73cJms4ni4mKxYcMG8cADD4iYmBgRFxcnvv32W1/2mcfjEbm5uWLixIkCEEFBQaJjx45i0aJF\nAZN9VUtNTY3YsWOHGDZsmIiLixPR0dGif//+ori4WNjt9muWk9frFR6PR9jtdlFWViY2b94s4uPj\nRXR0tBg0aJDYvHmzMJlMvmd++OGHolmzZkIul4vQ0FDRoUMHMWPGjIDzsp1Op/jhhx/EY489JrRa\nrbjzzjvFkiVLRH5+vrBYLHWS05YtW8SIESNEfHy8T09XrFjhe57FYhEzZ84UycnJQi6Xi5CQEPH+\n+++LwsLCRs3A/DVcLpeYMGGCSE5OFlqtVtxxxx1i0aJF4ty5c9c15zwej3A6naKqqkp8/fXX4tFH\nHxWJiYkiJiZGfPHFF6Kqqsr3TI/HI2bOnCnkcrlQqVQiPT1dvPPOO6KgoCCg5ORyucThw4fFk08+\nKdLT04VWqxW9e/cWeXl5wmKxCJfLdV265HQ6hU6nE998841ITEwUUVFRolevXmLVqlWiuro6IHdB\nrobfjNCmT59OUVER69atIycnx7f3PWXKFODSDfKKigqaN2/uu3gHsH79enr27BnQEdovCQoK4o47\n7iAhIYGysjJOnz7N119/zYULF3ylaeRyOUII31ctQgg8Hg9erxePx4PD4eDUqVPs27ePOXPm8P77\n71NQUEDbtm157rnnePDBB31es0Qi8RVN3rRpEyqViu7duzNx4kQ0Gk1AeY1BQUGkpKTQp08fEhIS\nqKqq4tSpU5w8eRKZTIbL5UIIccXDYyEEXq/X139Kp9Nx7tw5srKymDdvHh9++CEpKSmMGTOGP//5\nz3Tt2vVnyRUymYyysjLy8vKwWq2YzWZCQ0MZMmRIQB1Yy2QykpOT6dWrF9nZ2Zw4cYKtW7dy4sQJ\nXx81uFQ7s1Yml1Mro1pd0uv1nD9/ngMHDvDss8+Sm5tLeno6TzzxBC+99BI9e/b0na/I5XIUCgVF\nRUWcO3eOmpoaYmJiaN26NU2bNg0oOUmlUm699VYSExOxWCycPHmSr7/+mpycHFJSUny/I5FI/kNO\nl+tSbW+8M2fOcOTIEebMmeNL/EhKSmLs2LGMHz/+Zx3ga3doFi9ejM1mw2q1otVqadeuHU2aNAkY\nOUmlUuLi4ujbty8ZGRmYzWaOHz/O0aNHfbrk9Xp9uxXiF5nIl8vJ6XSi0+nIz8/n6NGjLF68mJkz\nZxIdHc3YsWP529/+xm233dZoF/HrA4n4pQSuwKhRo3j99dd59913eeKJJ7j11lt57bXXuO222+ja\ntStjx45l9erVOJ1Ohg0bxoYNGwImHfZaEEJQUVHB2rVrWbNmDdnZ2UilUgYMGMDtt99Os2bNiIiI\nQKVSERYWhlKpxGazYbFYcDgcGAwGLl68yLRp09Dr9YSGhtK6dWsGDRrEsGHDSEpK+o/DXY/Hw+HD\nhxk4cCAej4e4uDhefvllhg4d2ijFUq+W0tJS1q9fz/Tp09Hr9Wi1Wnr37s3tt99OcnIycXFxqFQq\n34G23W7HYrFgt9vJyclhz549fPvtt1RWVhISEkLLli19W6+/dn2hvLycTz/9lI8//piioiKSk5MZ\nP348r7zySkBlql1OaWkpX331FevWrePYsWPodDo0Gg233XYbo0ePRqPREBIS4vuSSqVUV1djs9kw\nGo0UFxdz4MABfvzxRwoLC2nfvj333HMPQ4YMISMj41flpNfr+eSTT5g7dy5lZWVMnz6d4cOHk5iY\nGDAL9S+pqKhgy5YtrF27liNHjmCz2ejVqxd33HEHqampaDQa35wLDQ31GSG73Y7ZbKa4uJi3336b\nwsJCQkNDSU1NZdCgQTz00ENXvDTtcDhIT0+nvLycqKgopkyZwqhRo0hMTAyY6zO/pKqqik2bNjF1\n6lQMBgMKhYKePXvSu3dvmjdvTkJCAmq12nds4nA4sFqt2Gw2zp49y/79+9myZQulpaW+llGfffaZ\nX3svNiTXbNCkUilTp07F5XKRlpbG9OnTkclkrFy5ki+++AIhBBMnTuSuu+5q6LE3KB6Pxxedrlmz\nhtzcXKxWK1KpFI1Gg1arJSEhgaioKHQ6HUVFRRiNRioqKgDo1KkTaWlpdOrUiczMTFq2bPmbClNS\nUsL8+fMxmUysX78ehULBX/7yF4YMGRLQRs3r9TJ//nz27dvH+fPnOXv2LCaTCalUSnp6OjExMcTG\nxiKVStHpdJSWllJdXU15eTnh4eE0b96c1NRUOnbsyB133EGnTp2u+C6Hw8G+fftYsmQJx48f952n\nffPNN8TExASsUQPIz89n+/btHDx4kNzcXM6cOYNeryciIoKoqChiY2OJiYlBJpORk5NDVVUVOp0O\nl8vla/baokULXnzxRdq0afObGYwul4udO3cyZ84cTpw4gUqlYty4cQwZMsT3twhUzp8/zw8//MDn\nn3/OmTNnqKqqwuPxEBUVhUajIS4ujvj4eKqqqigrK0On06HT6XA6nbRt25bU1FQ6derE3XffTcuW\nLX/TqfZ6vQwZMoTCwkKqq6uJiopiwoQJDB48OKCuhvwaS5YsISsri7y8PE6fPo1er8flcpGenk5C\nQgIxMTHI5XKfU1Q79xQKBenp6aSlpdGmTRuGDBlC+/btG/vj1BtXbdBuZGoL4ubk5KDT6dDr9djt\ndioqKqipqSEkJMSXzh4REUGTJk148sknr+hB/xoejwepVEpZWRlLly5l4cKFqNVqXnjhBe67776A\nrp8Gl4zN+fPn2blzJ6dOnfItOHq9Hr1ej8fjQa1W06RJE5RKJWlpaWRkZNCnTx8yMjJQKpVXZbTL\ny8vJy8vDYrFw+PBhli9fzjPPPMP9998f8EYNLpWmOn/+PLt372bHjh0YDAZsNhs6nQ6j0YjX6yUp\nKYmQkBCfsUtPT6dnz560bdv2qu9tVVRU+BqQ/vOf/yQoKIixY8fywAMPNEonh2slPz+fH374gRMn\nTlBeXo7BYMBut1NVVYXBYECtVvui2/DwcLRaLY8//vg1N+hcv349KpWKvLw8li1bhtvtZty4cQwa\nNIjExMQG/pR1QwhBQUEBO3fu5OTJkxQXF1NRUUF5eTkWiwW3241SqaRp06YolUpSUlJo3rw5vXv3\npnXr1j/bgv2jcNOgXSMulwubzeY727BarYSGhvqyjxQKRZ3vaen1elavXs3MmTPxeDxMmDCBl156\n6XelfC6XC4PBQFlZma9uZrt27WjWrJnP8Nf18xgMBjZs2MBbb73FqFGjGDNmTMB71pdTq0tOpxOT\nyYTJZMLr9ZKQkIBCoUClUtXLRfYlS5Ywb948jEYjY8aMYcSIEY1aB/NacTqd2O123G43BoMBvV5P\neHi4L4tTpVLV+XjDbrezcuVK5syZQ0VFBePGjeOVV175XW3DOZ1OrFYrer0es9mM2+1GpVKh1WpR\nKpWN1sHDn9xwlULqikwmQ6FQEBoaSnBwMCUlJbRu3Rq1Wo1SqayX9F+VSkVqairh4eHs37+fnJwc\nRo4c6dcqHXVFJpMRGhqK0Wjku+++o7y8nJ49e5KQkFBvlQ+USiXJycmsWLGCw4cPI5VKadGixe+i\nRA/8W5dqz88MBgMej4fmzZujUqnqLZW89nnHjx8nKysLuVxOSkoKERER9fApGp5aOalUKtRqNYWF\nhb4t2lo51RW5XE5aWhoKhYKcnBx2797Ngw8+iFqt/t04SDKZDJVKhUajoaSkBLvdTnJysk9Ov4c5\nUWf8mFH5h8Llcoldu3aJTp06NWhR4erqajFv3jzRrl07sWjRIqHT6X43KbUGg0EsWbJEtGrVSqSl\npYn//d//bZBi0DqdTixevFh07dpVdO3aVXzyySeitLQ04NL5f4tDhw6JESNGiIEDB4qampoGeYfJ\nZBKLFi0SXbt2FS1bthTFxcW/KxkJIUR2drb405/+JJYtW/azKx31id1uF0uXLhXp6eni7bffFhcu\nXGj0QsHXQl5enrj77rtFy5YtxRdffNFgcgpEfh+uRwBS25urrKyMHTt2YLfbG+Q9Wq2WwYMHU1NT\nw4wZMxq1mPK1otfrycnJoaSkhIKCAvbu3Ut5eXm9F1zVaDQMGTKECRMmYLPZmD9/PqtXr6a8vLxe\n39NQmEwmjh49yqlTp8jJyaGysrJBCveq1WqGDRvG5MmTiYiIYP369Y1WJPh6sNvtZGVlUVhYyOnT\np6murm6QsSsUCoYPH05UVBTz5s1j3bp1lJeX/27ktHPnTgoLC6moqGDXrl2UlJT8bsZeV25uOV4n\nBQUFLFq0iBMnTiCTyejfv3+DZSOq1WocDgcHDhxg//79aLVa3/ZIIG8jZGdn89VXX3HmzBmcTieh\noaFkZGSQlpZW79UrlEqlr4DqkSNHOHr0KCEhIXTp0iWgZQRQVlbGhg0b2LFjB5WVlTz88MMNdmes\nNstNrVYzb948lEoliYmJv4u7R9XV1Xz++efs3LmTJk2a0LFjxwaTk1wuJzg4mJMnT3L8+HFCQ0OJ\ni4sLeDlZrVYWLlzIgQMHMBgMeL1ebr31Vpo1a/a7OTOtCzcjtOvA6XRSXFxMcXExbreboqIiDh06\n5Lsw2xCMGjWKCRMm4HQ6mTFjBuvXr8dgMDTY++oDk8kEXDLIUVFRREVFYTKZGqwlRnx8vK9MlhCC\nRYsWBbxn7Xa7OXfuHBcuXMDr9SKVSjlz5gw2m63BonC1Ws3999+P2+1m6dKlrF+/npKSkoDqJv1L\nhBCcPn2agoICJBIJ+fn5nD17FqvV2mByGjp0KJMnT0YqlbJw4UI2bdpEcXFxg7yrvjh27Bj5+fnU\n1NQgkUgoLy+nsLAQq9Xa2EPzCzcjtOvA4XBQUVGBwWCgqKiIe+65h9TUVJo3b95gWVFhYWG+ag97\n9uzhu+++Ay71mgpUjzE+Pp64uDjOnz9P06ZNeeWVV7jjjjuIiIhosIN2tVpNq1atiImJ4ciRI1gs\nFlJTU1Gr1QEpJ6fTSUlJCVVVVRiNRtRqNQMHDiQlJaVBD/KVSiVKpZKjR4+yY8cOhBC++pyBmAQh\nfkpRN5lMnD9/nnbt2tGpU6cGba8SHBzMLbfc4uty/+233yKVSunRo0dAyggudXWvvUMLcPvtt9Ol\nSxeaNWsWMD0EG5KbBu06kMlkNGnShKZNm7Jv3z5ef/11Onbs2OD3OlQqFUlJSYSFhXHgwAEOHz7M\n6NGjA3brUaFQoNPp2LNnD3K5nHvuuYeUlJQGT4VWKpUkJSURGhrK3LlzkUqlpKamBuR2UW2vsISE\nBIqKiggPD+fZZ58lMjKywRfN1NRUVCoVp06dIisry1faLFCNWm1bqh07djBq1Cj69euHRqNp0K20\n2oxQpVL5u8h+jI6Opl27dhw4cACXy8WUKVPo27evX/QpEPjjf8IGQCqVEhISglqtRi6XExkZ2aB3\nPITXS+2milarZeLEiezevZsXX3yRzMxMPv30UwwGQ8Amioifal96PJ6GG6Pw/lSz7tLzIyMjefzx\nx3nhhRdYtWoVDz30EIsXL26whIvrRSqVEhoa+rPK+Gq1ukEX6drafhEREYwdO5Zt27bx4osvsmrV\nKgYOHMi7774bcNuPEomEsLAwwsPDCQoKIiwszNftoaHw/jTvIiIiGD9+PN9//z1Tp07lzjvvZNas\nWRQUFAScnNRqNREREQQHByOTyXylwm6E8zO4adB+B7ioLj6L0eHmclMQFRXFsGHDMBqNvuzHQDZq\nDY25uoS8syc5VazH6f63wRo6dChPP/00QojfXfZjg+A0UXIuj5PHS3zfUqvVPPLIIzz11FOEhoay\ndOnS31X2Y8Pg4kzuGfQ2F7VTKiQkhJEjR6LRaJgzZw6ff/45RUVFAWfUbmRuGrRAx1PFpvceYP6u\nC9hcPzdWWq2W8ePHY7VamTFjBhs2bPjdpPTXLw6Orv6Ih+7uxyMfb6fE5PAtQhqNhgceeIDx48dj\nt9uZP38+a9euvWEXa0flQf75yGB6dF6I5zI9qTVqtSn9GzduvLGNmruKzFvbMmf7KUzOf8sgODiY\nKVOmoNFofCn9N7ScAoybBi3QkcXxxIw1SLxeBP9pqMaMGcOTTz6J3W7n3XffZcOGDZhMphvMqCm4\n/an/Y+XrA0mMrr068e/Pr9FouPfeexk9ejRut5uFCxdSUVFxQy5CioR+fLjybzRN0PJLdVKr1b7M\nvsWLF9/Yi7U8jntj4pELQHi5fDo98sgjTJkyhaioKJYvX86XX35548opwLhp0GoRXixmMyarDbc3\nwIyBw4PbC/aaGiwWKw6nxzfBYmNjfSn9DoeDGTNmsHHjRoxGY4MMxeW0YbGYMZos2F2eXzGxjYcX\nEMKDy27DYrFSY/v3NYralP4nnngCj8fDhg0bGvQ8zetxUmO1UGNz4g0w58LhBKSCGqsVi9WGy/Pv\nM9rw8HAeeOABv6X0O2pqAnbeWRB4hMBWU4PF+u95p1KpeOihh5g8eTJCCBYsWMCmTZsoKSn57w+t\nK8KLo6YmIOUVCPx+Km82MI7KE8yY8RnGsDSGDH+IbmlaFLIAyYiTw7ms79h01sxFE6R3vIO7erUn\nWq1EIoG4uDiefPJJoqOjmTlzJtOmTaO0tJSXX365fhNVPHr2rv+M3TmFlJoUdL77QR7o1ZYIZWCo\nkQwQFSfZvbWAykI9wU3TmThuKIqfsrvi4+MZO3Ys0dHRvP3221RVVTF69GgSEhLqOQPMQ8mR7Wz6\n/iBWVVsefPhOkqPDkAVKhqUMSKtk6fw5mCQauvXtR7c2SYQr5Ei4lATx3HPPMW/ePD744AP0ej0j\nR45skMu56xcu4ExJKYaQZAYNe5DuLWJQygPDzw4Hzh/6ni/zt1JiEaS0601mrw7ERYYQFhbGo48+\nikQi4ZNPPuGdd96hurq6wQsaO6pOsm75d2QZlQx++EFuax6DUh4gehUABIbmNDoOvvvHfYz9y+uM\nSdnF0JFzOFttJZA2EDa+f5yW9z7JS+My2f/Cw7y46Ht0Npfv57VnRU8//TQSiYRFixbV+3ma4+wX\njHr+n3Qd8zzTpnRj2oh+rMn2g1d6tQSFcWHtBxijOzDu+XG01P0fhwp1uC7zZCMjIxk8eDAqlYrl\ny5ezfPlySktL6zdSc+Qx9bFnKU27F8XCV3ht4Y9UGJ0ETqAWBHmfce8TkxjdXcKLwx5j+c48rI5/\ny2DIkCGMGzeOiIgIPvvsM1avXk1paWk9j8PBX3YrGf78PxiTfpDR4+dzstSIO0AEpQK+mn2KtH5j\n+PPY/mS/9gR/mb/NF80qlUpfyTWtVsvChQsbuMyUg+9fH8Zf9oQwOv0Aj42dF1DyCgRuGjQA5PT6\ny0omPvUSX1am4T5zlHyDHWcAJS+9tOLPtE+MILRpZ95e9ybb3nqffSWmn/1OVFQUkyZNYvfu3bzw\nwgu+lH69Xl8vhk3SbCDz/vd5Fk1+jre/2E2N10WpyVHn59YXbpeFtMmLuL9HRyJDYrjrxbX8dd4P\nlBrsPzMmGo2Gbdu28ec//5mVK1cydOhQFi1aVG/nakKWxCsLp+HZ8DoH9BY2bjpCubmGwNmgdUHz\n50nRhNKs+zjW/l8b/m/aes5WmH2LY22q+nfffcfzzz/PihUrGDBgABcvXqzH7Uc5r7XO5sXnXmFj\nSSLOM8e5qLcFzLwrB55dOoVO6dGom3bijeWvsXv2AhyXOUgRERFMmDCBH3/8kb///e/069ePWbNm\nUVhY2ADbtHK6v/gpr7U+wqaSZjjPHuOiIXDkFQjcNGgA7vO82nswS5e8z6uTBtM+xIXcVk5xpRVP\ngOxTu4Tkp+VQ4HVbIMjJlXYaoqOjf5bSv2HDhnpI6Xfx43s9GPlKBc98tJBpf5nGP3uoUcvNWFzu\ngFiqJYDX48YrBAKB122ifUo0yiDZpR9ehlar9aX0e71eFi5cyNq1a+slpd94ajmDRrxCzMNTeWPG\n3WibqjBWF1JuceEJBEEB5FnxCkB4KDtfRFCQDKn0P8SEWq1m+PDhTJw4kdDQUFatWlV/CRDuC6z1\n3snHc2fw1yn386dwL0H2CoorLXV/dj3hpvZsVuD1WCH414uQq1QqHnvsMTQaDR9//DHLly+v/5R+\n9wWm9h/KOtGfv065jz+pa+VlxR0witW43DRoAM4aChVScNVQsGcrFxFU52eTdc6I0x0AiuKWcCa3\nCIPJitVYybcrZhI24FEyokKv+F+0Wi3jxo3DarXy3nvv1UNKv43SwyF4BnegSYibmqrDrDgBhqp8\nDDZnQBg0aZCc4m1HKSgpx2A2cuFgFn1vTUetCvqPhRouyeiBBx5g3Lhx1NTU1FtKv7XkAsGeB2if\n0ITTR7MQSjNZm9aQU2n+2fZn4xFMsHI+VSYzhuLDbFlWxMOjetEsMhTpr5zz1Rq1SZMmsWrVKjZu\n3Fg/27SOGnp2SUbmsVO4/zsKPG6qLx7j4LmGSWi6ViKDleTlFqMzWrCaqvh+9Ycoew8h+ApnoQqF\ngsmTJ/tS+uu9m4GjhiKllJ6dky/Jy+v5SV4G7O5AOiBpPG6WvgIIUhBmOsKy7w6w+5ycrvHb+XDO\nGfqMeIg28Wrk0l9X4IqKCjZv3szQoUMbthuszEHOpoX8kFPKyfXv8Lb9MVb/7+NkaFVcYWgApKen\nI5fLOXDgAFlZWb7SQUql8joGoSA8TsHmOavQO8vZtfUoGb3iWfreHJ575vlLUdCvUFJSwo8//ghA\nnz59iI2NbbCqBdXnLiKLNPPDqs3sP/o9//PuMd597XFCg67st6lUKuLi4pBIJBw+fJhjx44xZMiQ\nOtUHDIkIR7/5E74uMmHWZBC6bSXrLR0Yfn93EiOUv5ocotfr2bt3LzabjSFDhjRoZQdhKKDYFc/B\no7tY99J0ZJPf5sXhPYkOC/5Vww//rtK/bNkyjhw5QkhICImJiXUr9xYczOQ/v0ZJ7m72npPQMfZH\n5i08za0P3sefkjS/+l/MZjOrV6+me/fuNG/enKCgoOt791VQUFBBmOMEe3KLOb7xfd61PMji1x6n\nWfiVu2O3bNmSkJAQTpw4wYkTJwgPDyc+Ph61Wl33AQUHE2o+xqzV+ygzqfhT0x+YuyCX2x68n3aJ\nkQT9lMTmcrnYsGED1dXVZGZm+qXcXMDg1+5rAU51lVl4PF4hhFvY3UL8t5Z4x48fFz179hQXL170\nSwM9q04nqvQ1P43x6iguLhb//Oc/RVpamujQoYP49NNP6zZWt10Yq6uFzekRXiGE2+7+zV8/cOCA\nGDx4sBg0aJA4cOCAcDqd1//uq8RlNQldtUE43FffvLKoqEi88847om3btmL+/PmirKyszs0vLSad\n8HiFEC67cP0XbcrLyxOTJ08Ww4cPFw6Ho07vvVp0Op0wWT3iWtThww8/FO3btxddu3YVc+bMEUVF\nRXWSk8tiErpq00867RJ212/Pu6KiItGrVy+xdu3aBmuE+kssOp2ovoZ5ZzKZxMKFC0WXLl1E165d\nxfz58+u1karL8tvyslgs4uGHHxYdO3YUX3/9tbDb7fX27kDn5pbjZWijwpBKJYAMxX8euzQ6IRoN\nUZGqn8Z4dcTHx/PUU0/x6quv4nQ6mTZtGlVVVde/9ShTEK7VogySIgFkisCrEScPUaPRRhAsu3r1\nTkhIYPz48bz00kvMmjWLJUuW1HlbLVStuRRByxXIA06bLiXHqEOkXEuA9dhjj/Hcc88hlUqZNWsW\nn376aZ3OiuShajRa9U86LUchD7x5F6rRoL2GeadWqxk5ciRTpkxBCMHbb79NQUEBbre7XsYjDw1s\neTUmNw3aDYBGo/FlYj377LPcfffdLF++/AYtk3VlNBoNY8aM4bnnnuOLL75gwIABzJw582YViMvQ\naDQ/K2i8evVq7rnnHt5///2bMroMpVLJ448/zvbt23n11VfJzMxk9uzZFBUV3ZRTA3LToN1AREdH\n88gjj+B0Opk1axYbN268oQsaX4mHHnqISZMmoVQqWb16NZs2baKqqqqxhxVQXJ79qFQqWbJkCYWF\nhfUWhfxRUKvVjBo1ioiICGbPns2qVasoLi6+WdC4gbhp0G4woqOjmTJlCkajkffee89XJuumUfs3\nWq2Whx56iClTpuDxeFiwYAHr1q276Vn/gsuNmkqlqt+U/j8QSqWSKVOmEBkZyccff8yKFStuVulv\nIG4atBuQwYMHM3bs2HpM6f/jodVqfdUybDYb8+fPp7y8/OZi/QtqjdrkyZNZvXo1mzdvvmnUfoWR\nI0cyadIkIiIimDNnDhs2bLipTw3ATYN2AxIfH8/o0aMZO3YsNTU1zJgxg82bN2M2mxt7aAGFRqNh\n8ODBjBo1Crvd7tt6vLkI/ZzaKv0AS5Ysudl65ldQKBQ8+uijTJo0CY1Gw7Jly/jqq68oKytr7KH9\nobhp0OqJ31t0Ex8fz5gxYxg3bhwWi4WZM2eyadOmev8cQoiGu5/nBxISEhgxYgRjxoxh0aJFbNy4\nsUGMmkQi+Zmcfm/6FBERwYgRI7DZbCxZsoQvv/yyQSOQWvn8nuQUEhLia6Tq9XpZsGABX331VYMb\nfvFTx/gbgRvktl3dEELg8XhwOp04nU6fgphMJpxOJ5WVlSgUCoKDg5FKpQQFBaFSqQJ+IU9ISGDi\nxIlotVo++OAD3nzzTQYNGkR4ePh1jf2XcvJ6vZhMJmw2G0IIdDodVVVVKJVKgoODCQ4ORi6XB7yc\nEhMTmTBhAitXrmTWrFnodDpGjhxJXFzcdVXpr5WT1WrF6/X6ZGO1WrHb7VRXV6NUKpFKpcjl8t+N\nnEaNGkVISAgLFixg5syZ6PV6hg8fTlJS0nU9z+1243Q6cblceL1evF4v1dXVOBwOzGYzOp3OdwE+\nKCioTpfh/UVtkohUKuWTTz7hrbfeon///iRNBR8AAAAgAElEQVQmJl73ZfrL55zL5cJsNmO3233/\n1uv1vjkXFBREUFBQwMvpepGIG8V0XwNCCFwuFxUVFezevZu33noLvV6PzWbzHeRKJBIUCgVRUVFU\nVFTg8Xh8npZEIqFZs2Z07tyZAQMG0L17d2JiYlAoFAGrSJWVlXzxxRd89tlnPPPMMwwaNAi1Wv2b\n462V05dffsmXX37J4cOHqa6uxmaz4Xa7kUqlKBQKIiMjkUgk6HQ63+IkkUhQqVTExMTQvn177rzz\nTrp37056enrAyqi6uppVq1Yxb948XC4XTzzxBI899hgxMTFXNGy1MqqqquLo0aN8++23ZGVlUVxc\n7OtZJ5FIkMlkhIeHI5PJqK6u9hk6qVSKSqUiOjqaDh068Pe//52EhISAdpjMZjOff/458+bNw263\n88033xAfH/+bxr9WTjqdjkOHDvH2229TUlKCyWTC4/H4IlipVErTpk19jlKtoav9fps2bbj77rvp\n2bMniYmJPscgEKmV0zvvvMOzzz7Lgw8++F/lBOB0Otm+fTvbtm1j7969lJeXYzKZfPNKKpUSExOD\nTCbDYDBgt9t9MlSpVISFhdG+fXv69etH3759ycjICFhdulZuGrTL8Hq9PkO2f/9+li5dyqFDh5BI\nJCQmJjJkyBB69uyJRqMhNDQUtVqNXC7H7XZjt9sxGAzodDp+/PFH5s6di9N5qcHkLbfcwvjx4+nX\nrx9NmjRBobhy6ZzGpKqqiltvvZXIyEiee+457rvvvl8t6XW5nHbv3s1zzz2H1+slKCiIpKQkBg0a\nRK9evUhOTiYsLMxXdsfj8WCz2TCZTGzfvp0tW7Zw8uRJ38KUkZHBp59+SmxsLCqVKiAXourqatas\nWcO8efMIDg5m3Lhx3HfffTRp0uQ/ftfr9VJWVsaePXtYtmwZWVlZOJ1OZDIZKSkpvPnmmzRt2pSI\niAhCQkJ8UZjFYsFkMmEwGDh06NDP5JSRkcGIESPIzMwkMTExYOVkNptZvnw58+fPZ9SoUTzyyCM0\nbdr0P8YqhMDpdGIwGNi3bx+LFy8mKysLr9dLamoqAwYMoGfPnjRp0oTIyEhCQ0ORy+V4vV6sVitm\nsxmz2czBgwd59913fU5ny5YtfXJq1qwZoaFXrnvamNjtdnr27InRaOTpp59m6NChv9qfTwiB2+32\nyWnSpEk4HA5kMhkxMTH079+fzMxMWrVqRWhoqK8kmNfrxWKxYLFY2LlzJ2vWrOHs2bPU1NTg8Xho\n1aoVCxcupFmzZgGrS9dEwxcj+f1w8eJFsWLFCnHXXXeJsLAwkZCQIO6//35x/PhxYbfbr7pklMfj\nESdPnhQfffSRuP/++0VSUpIIDw8XvXv3FqtWrfJbaaPr4Y033vCVyVq6dKnQ6/U/+9wOh0MUFBSI\nFStWiHvuuUeEhYWJe++9V3z44Yfi2LFjoqam5qrk5PV6hdVqFadOnRLz5s0Tw4YNE2lpaaJ79+5i\nzpw5Ijc395pk7k+qq6vFokWLRNeuXUXXrl3F3Llz/6O0kcPhEEVFRWLIkCFCq9WK+Ph4kZmZKaZN\nmyb27t0rzGbzVb3L6/UKh8MhTp8+LebOnSvS09NFWFiY6NGjh5g7d644ffq0sFqtDfEx64zJZBLz\n588XPXr0EAsWLBAlJSX/IaeSkhKxbt06cf/994uYmBgRGxsrMjMzxd69e4VOp7vqklFer1ecO3dO\n/L//9//EyJEjRfPmzYVKpRK33XabmD17trBarQGpS0IIsXDhQtGpUyeRnp4u3nnnHZGfny/c7n+X\nlHO73aK8vFx89913YujQoSImJkb069fPp0sGg+Fnv38lvF6vcLlc4vz58+Jf//qXGD16tGjevLno\n1q2bmD17tjh16lRAy+lquGnQxKU/tMlkEiNHjhRqtVpERUWJAQMGiDlz5lz1wnMl9Hq9WL58ubjn\nnntEYmKiiImJEdu2bRNmszkgFaeoqEhMnz5dpKeni/bt24t//etfwmAwCI/HI4xGo9i+fbsYOXKk\nCAsLE02bNhUDBw4U5eXldf4ser1erF69WqSkpAitVisGDhwoNm7cKKqqquq1Dl59odPpxCeffCLa\ntm0rOnfuLEpLS4XH4/EZ6l27donRo0eL2NhYceedd4rZs2eLwsLCq1p4fovVq1eLhx9+WKSmporw\n8HCRmZkpVq9eHZAyEuKSUevSpYvo1q2bmDt37s9qP1qtVjFu3DgRHx8vYmNjRZ8+fcRHH30kLl68\nWOd3rl69Wjz66KMiJSVFKJVKsXLlSlFSUlJn+TcENptNLFiwQHTq1EmkpKSIjz76SJSUlAghhPj/\n7Z13eJRV2v+/UzKTZEomU5LMpDfSC0gvoW0I0rIIKsqKCi9SBOVVWZooCK+K8IMVl3XBdVcWUQgd\nEZcmyJJCSQghhUB6b5M2feaZOb8/2MwiokgSZh7h+VwX1xUyMM893znn3Ofc5z73MRqN5MqVK2Tx\n4sUkKCiI+Pj4kGHDhpGqqqoefxaKosi+ffuIn58fcXV1JSkpKWTfvn29UsfUWTz21fa7Npq/+eYb\nfPrpp3jiiScwd+5cLF++HKNGjepxeNDV1RVxcXEYN24cvLy80NjYiGPHjkEgEMDX15d2G9lisRhh\nYWEAgKysLOTk5MDLywve3t44fPgwNm7ciJycHPTt2xdz5szBW2+9BV9f3x5/BldXV0RHR0MikUCn\n0yEvLw9XrlyBi4sLlEolBAIBrcIhd1bpv3LlCmQyGfz8/GA0GnH27Fl88sknuHDhAl5//XW88cYb\nGDduHCQSSY8/Q3R0NIYPHw5/f38YjUbk5uaioKAA48aNg0AgeKhV+rsDn8+HwWBAZmYmrl+/DpFI\nBJVKBYvFgjNnzuCTTz5BcHAwZs2ahTfffBMpKSnw9Lx3pf0HeWZ0dDSSkpLg7+8Pq9WKgwcPwmq1\nQqlU2vcq6QKXy0VERAR4PB4KCgqQl5cHDw8PhIaG4uzZs3j//fdx8uRJ+Pj44OWXX8aqVasQHBzc\n47bEZrMRHR0NLy8vEEKQnZ2NzMxMsNlsqFQqCIVCWun0a3isHVrXHsfOnTuxefNmTJ06FStWrMDE\niRPtiQy9hUAgQFxcHPr164fPP/8cGRkZ4HA4CA8Pp51TE4lECAkJAYvFwsWLF3Ht2jVQFIVt27ah\no6MDqampWLp0KaZMmQKpVNqrz46Pj8fgwYPB4XCQnZ2NS5cugaIoBAUF9Xig623EYjECAwPBZrPx\n9ddfgxCCvLw8fPbZZ6isrMSECRPs+2S96YxFIhESExPRr18/uLu7Iy8vD2azGX5+frQbrIHbR0QI\nIbh69SoKCgrAZrORnZ2NHTt2YNiwYVixYgWmTp0KHx+fXtVJIBAgISEB/fr1Q1paGjIyMkAIQUBA\nADw8PGilE4/HQ58+feDq6orLly8jNzcXFosFH3/8MUpKSjB27FgsW7bMrlNvjhfx8fEYNGgQuFwu\nCgsLcfbsWeh0OgQFBUGhUPTacxyCcxeIzsFms5H6+nqyYcMG+77N0aNHHfZ8nU5HvvnmGzJkyBDi\n5+dH3nzzzR6HWR4GNpuNFBUVkf/5n/8hQ4YMIYcPH3ZoqFSr1ZLjx4+TlJQUEhwcTG7evEksFotD\nnv2gLFiwgEgkEpKYmEi2bdt2z/2ih4VGoyEpKSnE39+fvPbaa6SgoICWOpWVlZFFixYRb29vkpCQ\nQHbs2OGwtmQ2m0l6ejr5/e9/T/z8/MiSJUvI9evXHfLsB6W8vJzMmzePREZGks8++6xXQvq/FqvV\nSjIzM8mUKVOIv78/KSoqomVb+jkeyxVaa2sr9u/fj82bN0Mmk+Gdd95BcnKywy7Bc3FxgZ+fH3x9\nfZGbm4uLFy/CarVi9OjRtFqptbW14dixY/jyyy/x+uuvY/LkyRAKhQ6zkcfjwd/fH0qlEsXFxWho\naEBUVNR9jxM4ms7OTqxZswYKhQKvvPIKpk+fDi8vL4eFSHk8HiQSCcrKynDhwgWwWCz06dOn2+cJ\nHwY6nQ6HDh3CwYMHIRaL8eqrr2Lq1KkOyz7kcDj2cGNpaSlOnz4NHo+HUaNG0SqUbTabsW/fPhw+\nfBivv/46UlNToVAoHPY9slgsqFQqhIWFIT8/H2q1GiEhIRCLxbTS6Wdxtkd1NFqtlqSlpZHAwEAS\nHh5Otm3bRrRardNs2b9/P4mLiyOxsbFOs+Ne6HQ6sm/fPhIVFUViYmJIR0eH02zR6/Xk8OHDJCIi\ngrz//vv2BAw6YDQaSVpaGomNjSVbt24larXaKck+FouFHDp0iCQlJZGIiAiyadMm0tTURIvEI4PB\nQHbv3k0GDRpEIiIiyNatWx266rgTi8VCDh48SEaMGEECAwNJQ0MDLTQi5LZt33//PRk1ahQJCQkh\n9fX1TrPNarWSAwcOELlcTrZs2eJUWx6E34DL7V2Ki4uxfft2sFgsvPTSS5g1a5bTzqgIBAKMHTsW\nixcvBkVRuH79OiwWi1NsuROr1Yq8vDz84x//gNlsxsyZMyEWi51mj5ubG8aMGQMXFxccO3YM586d\ng8FgcJo9XdhsNmRnZ2Pv3r146qmnMG3aNHh6ejplVcTlcpGSkoKXXnoJrq6uOHLkCH744QfodDqH\n23I3V65cwb59+9DU1IQZM2YgNTUVMpnMaTpNmTIFc+bMgaenJzIyMqDX62lRGqqsrAxffvklamtr\n8dJLLzl0ZXY3bDYbU6dOhUqlwj//+U9kZ2fTRqdf4rFzaEePHkVBQQGGDh2K5557Du7u7k61RywW\nY9y4cZg8eTK+/fZbtLa2Or3RNDY24tSpUygoKMDgwYMxffp0p9oDAEKhEFOmTEFraysuXLhAi+K3\ndXV1OHv2LAoKChweGroXbm5uSE5Oxvjx49HY2IjTp0+jpKTEafZ0kZmZieLiYowYMQITJ06Ej4+P\nUxMyOBwOJkyYgOTkZJw+fRrl5eVOv8pFp9Ph9OnTuHTpEoYOHYqJEyc6PWmFxWIhJSUFTU1NOHr0\nKKqrq53e5+7HY+XQKIrC119/DS8vL8ycOfOeJ/IdDZvNho+PD8aMGYNvv/0Wubm59gojzsBiseDa\ntWs4dOgQFAoFpk2b1u1afL0Ji8VCcnIywsPDkZ+fj6tXrzp1xmiz2ZCXl4eTJ09CIpEgPDzcYXuw\nv4RSqcT48ePRp08fZGZmIisry6kTJJvNhqysLEilUiQnJyMsLMxexcKZKBQK/P73v8eZM2eQlZUF\njUbjNJ0IIbh58yaOHDkCk8mEpKQkBAYGOsWWu3nmmWcQHR2Nb775BleuXIFOp3P6hPuXeKwcWmNj\nIwwGA5KSkjB8+HDweDxnmwTg9rmZqKgoaLVafPfdd2hra3Nao6mpqcHZs2eh0WgwdOhQJCUl0Uan\nrvN8ZrMZFy5cQF1dndNm1mq1GgUFBWhvb8eQIUNoc/SCw+GgX79+9gSjGzduOHX10d7ejpqaGgwf\nPhyDBg2iVaLKgAEDwOFwkJ6ejpKSEqeF+/V6PU6dOoXa2loMGDAAiYmJTg3x30n//v0xZswYuLm5\n4cSJE7RYzf4Sj02WY1VVFdauXYvhw4fjnXfeoU2D6UIikaClpQX79+9HaWkpRowY4ZRw6LJly3Di\nxAk888wzWLp0KeRyOW0GIHd3d4SFhYHFYiEtLQ2lpaWIjY2FTCZzqB2NjY347LPPsH//fkycOBEL\nFizo9fN4PaHrYLGrqyuOHj2K4cOHQyqVOjwa0dHRgS1btsDf3x+vvPIKgoODnR5GuxMOhwMWi4Vv\nv/0WBQUFCAgIcEo4dN26ddi1axdGjhyJN954A7GxsbRYxXYxbNgw8Hg8HD58GNeuXUNERARUKpWz\nzbonj8UKjaIoNDY24saNG5g6darT981+jq4qCcXFxaisrHT4TIgQgpKSEvj4+CA5ObnXD5f3BhKJ\nBNHR0fDx8UFdXR2qqqocbkNzczNKS0uhUCgwdOjQexYmdjYikQiDBw9GeHg46urqQFGUw22oq6tD\neXm5vRqFs8P792LkyJEICwtDTU0NGhoanLJKKywsBJvNxtixY2nn9IHb4f7JkycjKCgIlZWVqK2t\npW3YkX4t7CGg0+mQnZ2N1tbWXq/a0Jt4eXkhPj4eOp0OV65ccfheml6vh1qtRmBgIHx9fWmxJ3Q3\nbDYbSqUSYWFhaG1tRX5+vkM7l8FgQHFxMcrKyiCTyaBSqWgTkr0TNpsNLy8v+Pr6oqCgAB0dHQ7V\niaIoFBUVobKyEoGBgeDxeLSbHAG3+1xoaCgMBgMqKyvR0dHh8MSHpqYmREZGwtfXl7Y6eXp6IiYm\nBiaTCVevXqVtcgg9R/ZeRqPRICcnByaTiXaHcu9EJpNh4MCBMBgMyMnJcbhD69rw7devn9PSz38N\nXl5eSExMhNVqRVFRkcMd2q1bt+yOXyaT0XaCJBaLERoailu3btnvy3IUZrMZRUVFaGtrg7+/Py0n\nR8Dt7Nm+ffvCzc0NVVVVDtcJuH1tU0JCAlQqFe1WZ13w+XwMHjwYfD4f165dY1ZozoIQAp1Oh+rq\nagiFQtqGG4Hb4bSu+HlVVZX9okdHQP5zA3fXTIxOm/d3I5VKER4eDoFAgMbGRoeGZtvb29HY2Ag+\nnw9fX99eKTj8sBAKhfDz84NarUZLS4vDdaqrqwMAp6fp/xJubm6IjIyESqVCS0sL2tvbHa6TxWJB\nVFSU/VJOOsLlchEXFweFQoGGhgbaJobQsyf2IhRFoampCWq1uhcSHKwwajvR0aGF2WqFUaeF2UrQ\nW3MVFosFiUSCoKAgaDQa3Lx502F7HxaLBQ0NDZDJZJBKpT12ZpRRB73ZCsqkR2enBnoThd6c1Ekk\nEvj5+aGzs9Nh+x5WqxX19fWorq6Gh4cHvL29ezAAWX/Ujjo7e7ctdSGVStHc3Izq6mqYTCaHzayr\nqqrQ0NDQbY2I1QRtZwc6dSZYrWZoOzuh1RlhfQj2SyQSeHl5Qa1Wo66uDkaj0WE6lZaWQqVSQSaT\ndWsV+xOdHpJGAOxtXqPROLQtPQiPvEMzm832Rjp69Ohuz6aJuRx/HDsMC/9+Hv/6cDKUEjF+v/x/\nETJvH5o6TLBaKRi0HdCarD0auL29vZGUlAS9Xo+SkhKHzYTMZjOqq6sxcOBA+Pv792igvvBeKobP\n2ooQHw94jPgfvDSoD4KVqfh3aT0shIBYTWhva0OHzghbN8UKCAjAwIEDQVEULBaLQzqX1WpFXV0d\nWltbER0djaioqG7tnxFzJd6eNBbHNjyFIIUnpry5GOGR4QieswsVTTpYTXp0dnSgra0dWoO5R58t\nNDQUZrMZtbW1MBqN3X6fB6WmpgZtbW1ITEzs1kCdMnwmdp4/hsUDguApTsSqt59EnzBffHSl4kf/\nzqjphMFq69FEQC6XY8iQISCEoLq62qFnrcrLyzFo0CAEBgZ2T6fRC7Hz399icf/bOoWH+WJjdiU6\nqdv2W/QadGq00Gk7u93XuvDw8MDYsWPB4XCg1+t79F4PC3oGtnsRiqLQ3NwMm80Gb2/vbq881Ke3\n4lrcUnz54u9Qs2MLOLzfYd3Kt9HQLoCH0ILyomwc27YJVWPW493JEfBw7Z5DcHV1haenJ1pbW1Fc\nXOzQFVpzczOkUinc3Nx6sEKrxP7sAHz6j4V4JnITnntnJWbbRuAHbQzivD3BZdmgzj2I2Ss+g1ts\nKv608mX4yMR40Me5ublBKpU6dIVmsVhQX1+P1tZWiMXibhdsbT37Ka5HLMB0r13g8kfh7aXLURua\nAMH4ZHhL3ZF75ANsO3IdTepOqMbMxjuzn4RK4g52N74SgUAAjUZjd2iEEIeEkquqqtDU1ASRSNQt\njUat34rnh/FRLnobvs8sxxtLlPD1rcSE0P8e0bAaO/HFslfBXfgRnon0gZjbvc/l6uoKqVQKs9mM\n5uZmh64+SktLIRQKu93nJv75czwf0Ypy0Ur4PrMCL0WaMDFUBnfO7fe6tG0ltlfw4evSitdXboa3\nwqPb3z+Px4NCoQCXy4XJZILNZqNdiPSRd2g2mw0mkwlsNhtCobDb7yMf+yGOPskDj2XF12eLwBq+\nHH58BfpGuIFrKUbG2Yu4dPZ7dEZoYO3BtheXy4VQKITVaoVOp3PYHlqXTjKZrIdnYEKwIe0T8HhA\nhy0SIyI8EBb8MsIJD3wuGyzUYOkL7+GL3ENY0vdJ2BZOBGQiAA/Wyfh8Ptzd3UFRlEM38SmKAkVR\ncHV17fYgJBu1FmnjePj79LeBQfPg66bEkMXzweLxwWWz8Or7X2HSX4/i/3mfw8BRKxE3ph9eig+C\niPPgz+Lz+SCEOGwV24XBYIDZbO62RivGKMHSncSlZgsGj06Au08MFr9mBd/1PytiqxG39r+KjQeO\nYPErax94QnQnXC7XfoGs2Wx26BEHvV4PkUjU7ezG1+MBaC/jUguFIWMS8Nr0CPBdefbJj7qyAvWl\nVnR694VE1n1nBsA+hnK5XCbL0VkQQux/eoLRrIOmXQ/KnIt/5VrQL3kIeK4sXGrSwcyLxKzF/4s/\nDAgC24Xd432QrkbHYrEcem1EbzyLWLTQaFphtppBhf8OcXwBbPnHcSi9Ap0GCgQWhCf0BZsKwJgE\nFwhce243HWP5v0RXWzqVZ0JM0kC4CrnIObQbl+s6YLQR7Nz+FWaHiNBwKRs2TgKiPNzA72FPtdls\nDh2EetqeOgwWdFw6ixqjAmMSPOGGKuz94hTqOvQAbNDe3I/NP3gi1M0fZgsXtt9WE7DT04SiTiOF\njktnUW2QY0y8J/Z+cQr1nfr/6qEciJkLX8Ws1DHgsnpPJLr2uUfeod3ZsXrSwQ7972iEj12Fc0e+\nRK7VgjHDhTDqTkIPk312aAJ+k86sN9FcfB+xEaOwO/tfkERGQ2fUY8d725DdqIeZsAAEY+XXXwGl\nu7G1gItWc/dDFl36ODrLsKffyzfLJyJ23HLkmgwYMUQAi+EM/m/zKbRReoAFhPfrgyv/+AAzVh6F\nYOR4qFwF6K5KXe2IzWY7JRuzu1o9/d4B7P4iDUZDCCKIEVV7/w//vKIGzAQWTRnWrvwBM1fPR4iH\nG3jmnu0z3m2vo3Vis9nd1mnRziv4auc+GI2hiIABO6+oQUxd8Q4rXM01uF5ngnv7IdRUNfZYp94Y\nSx8mj3zIkc1mw8XFBVarFRqNptvv48onkDV9iaX/LxqR4d7YtWQxvq7X4N/5WfhRgK6HX7TFYoFO\npwObzYaraw+XLw8Am80Gl8uFTqfrUciF5SKATNaOVS+tgdjqgZUvfADL4CX4x9hgyN05tzuazYQX\nX/onpr77GTyVft3SzGw223VyZOficrlgsVgwmUwwGAzd2pPi8wFZyx54BciwZ8VSHGjQI3Xj5xji\n4wM+i4XKSg3Gv74Rkxc9hZFxM7DhTCI2PhUPhYD7gIFZ2PeDuux2FHw+H1wu115A+kGffSPtPez0\nD4efdxnWrZ2L0sYwfJo2AV4KAbJWzsO1gKkYV5qNuo52UBezUB2mgsS7e0dyrFYr9Ho9LBYL2Gy2\nQ/eF+Hw+dDodzP9xyg+qU9GeNbhJwuHvXYb31s7Fmk8OwEvhfrtL6cpAhryCdUmxcHMbg+bKth7Z\narPZoNVqQVEUbY+qPBYOzdPTE4QQe8mW7nTsqdvy8Lu1tbBJfSBmc6AuK4PNOwACFxYAAqNOC6vF\nBjYF6IwUZO7d6xR6vR4NDQ0QCATw8/NzWOficDgQi8Wor6+HTqeDQCDolk6iQauQkz0PnTYpxOxW\naIzu8JS6gWPf/yHQlR1E7LKNeEqSCSGiwIInHnQPTavVorm5GW5ubg47tMvhcODh4QGBQAC1Wo32\n9nb4+Pg8cOeesjkTo1fVQijzRWt5OawKP8gELuiSaMKIedhxfCNi/b0RzBbCoNHB1s2YWmdnJ1xc\nXCCRSODi4uIwp6ZQKCCRSNDW1gabzfbAGhVeuwihUAQWy4yWFg08PT3tfSHkqT/iD9frUV3ViA4L\nBWtlFSoatYjrpkMzGAz2xDGRSORQ569UKpGTkwOtVtut1dP3R/f95xb52zrJ5fL/vlhzAG8szME/\nj32EUKUGVoh6ZOudGeNcLpeWTu2Rd2h8Ph+BgYGQSCTIy8vrUZaXSO5r/1keEnLHKyy4CkSYvicP\nPb05rL29HQUFBZBKpUhISHBYkVI+n4/Q0FB8//33aG5uhlwu77Yz5YvkUAAA5OD/pA+xIAh7Dv8X\nBgCDu22vWq3GjRs3IBAIHDZQc7lchISEQKVSobq6GtXV1QgLC+uWQxXJbrclWXDwT14rrP4a5cXF\nKGuSYUd+Afgu3Z/UNDY2wsPDA3369HFoUYHw8HB4e3ujrKwMFEU9sEYiUVfxcD7kcv6PXvMdkIJZ\nA27/PPvFt3psa3t7O/Lz8yEWixEeHv4fB+EYhxYdHY20tDQ0NjYiJCTkgfucSNTVwX6qEyKWo6AM\nKC/OQ02HCrFB8p/8/wdBp9Ph6tWr4PF4TrsU+X7Qz8X2Mi4uLvDy8oJYLEZZWRlts3O6aG5uRn5+\nPoRCIUJCQhy2+nBxcYFSqURNTQ3q6+tpWwmgi9raWty8eRPu7u4Oc/ocDgc+Pj5QKpWor69HeXn5\nQzoywEdwRDz69fHtkTMDbp8H8/T0hEqlAp/Pd9hA7evrC7lcjsrKSqcURn4QWlpaUFFRAQ8PD6hU\nqh4eW3kwAgMDcevWLTQ0NDw0nYIj4nvszIDbk8jS0lLweDyHavQgPPIOjcViwd3dHXK5HEaj0amX\nZ94PrVaLiooK6PV6eHp6OrRCOYvFglgshl6vR1VVFe11ampqglarhUQicZjTZ7FY8PT0hLe3NyiK\nglqttu+j0RGz2YyWlhbIZDL7+SFHIZPJ4OXlBbPZjPb2dtpOJCmKQm1tLdrb2yGTySCRSBy6hyaX\ny0FRFCorK+3hWTpis9nsxZs9PT1pGW4EHgOHBtw+4T5y5Ei4uLigs7OTtgNQS0sLMjMzIRaLMXr0\naIcmhQC3wxeEEFy+fNm+p0BH6uvrcQSdMDsAABa6SURBVPnyZbi6umLgwIEOnSm6u7sjJiYGCoUC\nlZWVtK5r19raipKSEsTExDh8EOLz+ejfvz9UKhXKy8tpu0rr7OzE5cuX0dnZieDgYIfrxGaz4e/v\nj5ycHKdeWHs/jEYjLly4AK1Wi2HDhjEOzZkIBAL07dsXYrEYjY2NtB2oa2trkZ6eDnd3dzzxxBMO\nv5bEzc0NQqEQhYWFqK2tpW3nqqmpwfXr1yEWixETE+NQh+bm5oaIiAgEBgaioaEB9fX1tB2sm5ub\n7feRObrYNIfDQWRkJPz8/FBWVua026DvR1NTEwoKCsBmsxEcHAwPDw+HD9ZeXl7Izs5GeXk5bWsk\ntre34+LFi+BwOIiPj2ccmjPhcrlQKBTw8/PDDz/84NCadg9CTk4OdDodlEollEqlU87DqFQqqNVq\nXLp0yaE17X4tGo0G1dXVaGtrg1wuh4+Pj0Of3xV29PX1RWtrK/Ly8tDW1rN06IeBXq9HQUEBampq\noFAoHH4DMovFgkKhgFKpRFVVFW3DaTk5OaiuroZcLoenp6dTrrnx9fUFIQTXrl1DU1MT7XSy2WxI\nT09HY2MjFAoFfHx8aLl/BgAgjxG1tbXE39+fLF68mLS1tTnbnB9RUVFBQkNDyaJFi0hNTQ2x2WxO\nsaOsrIwsWbKEhIaGktdee400NTU5zZa7aW5uJlu2bCH9+/cnixYtIoWFhcRisTjFloaGBvLBBx+Q\nmJgYsmjRIkJRlFPsuBdtbW1kw4YNJDo6mixcuNBpGhFCSFNTE+nXrx958803SXFxsVNtuRuj0Uii\no6PJzJkzyaVLl4jZbHaKHZ2dneT9998nUVFR5PnnnyfZ2dlOs+VuKIoiGzZsICEhIeTZZ58lubm5\ntPoO7+axWKF14eXlBXd3d1y6dAlFRUW0CRVRFIWqqirIZDJMmjQJCoXCaTMgf39/pKSkQCwW48qV\nK8jPz6eNTuXl5cjOzoZIJMKoUaN6eCtAz5DL5YiLi4NUKkVRUZFDrxz5JWw2G0pLS5Gbmwsul4vY\n2FinFpCVyWQIDAxEYWEhioqKaJVE03WbxZgxYxAeHu60S0iFQiFSUlIQHByMwsJClJSUwGAwOMWW\nuykrK0NmZiZMJhNSU1MRHBxMu4LEd/JYOTQul4uUlBTU1tbiq6++QltbGy06V3NzM86dO4chQ4Yg\nNjbWqbf7crlcREZGYuzYsWhsbMSBAwfQ1NTkNHvu5MyZM7h8+TJCQkIQHR0NV1dXpzn+rj2ioUOH\nora2FlVVVbTYc2xtbcV3332H3NxcxMfHo2/fvk4ND7HZbCQmJqKkpAQnT55ERUUFLSZIGo0GR44c\nwaBBg5CQkNDtQgK9AYvFQnh4OJKSkmA0GnH+/HlUV1c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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "show_image(\"fig9_16.png\", figsize=(10, 8))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "compute gradients: See Goodfellow (2010) for a full derivation of the equations in the fully general multi-dimensional, multi-example case." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 9.6 Structured Outputs\n", "\n", "Convolutional networks => output a high-dimensional, structured object. For example, to label every pixel in an image.\n", "\n", "\n", "### 9.7 Data Types\n", "\n", "Convolutional networks can porcess inputs with varying spatial extents which is the same kind of observations.\n", "\n", "\n", "### 9.8 Efficient Convolution Algorithms\n", "\n", "+ Fourier transform: point-wise multiplication in frequency domain.\n", "+ Sometimes d-dimensional kernel is *separable*.\n", "\n", "\n", "### 9.9 Random or Unsupervised Features\n", "\n", "Today, most convolutinoal networks are trained in a purely supervised fashion.\n", "\n", "\n", "### 9.10 The Neuroscientific Basis for Convolutional Networks\n", "\n", "\n", "### 9.11 Convolutional Networks and the History of Deep Learning" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 0 }