{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Rankine Oval" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "\n", "# import modules\n", "import numpy as np\n", "from math import pi, sqrt, atan2, sin\n", "import matplotlib.pyplot as plt\n", "\n", "\n", "# stream functions for a source and uniform flow\n", "\n", "def source(m, theta):\n", " return m/(2*pi)*theta\n", "\n", "def uniform(Uinf, y):\n", " return Uinf*y\n", "\n", "# setup a grid\n", "nx = 100\n", "ny = 100\n", "x = np.linspace(-4, 4, nx)\n", "y = np.linspace(-4, 4, ny)\n", "[X, Y] = np.meshgrid(x, y)\n", "stream = np.zeros((nx, ny))\n", "\n", "# initialize source strength and freestream velocity\n", "m = 1.0\n", "Uinf = 1.0\n", "\n", "# loop through points on the grid\n", "for i in range(nx):\n", " for j in range(ny):\n", " x = X[i, j]\n", " y = Y[i, j]\n", " theta = atan2(y, x)\n", " \n", " stream[i, j] = uniform(Uinf, y) + source(m, theta)\n", "\n", "# plot results\n", "plt.rcParams['contour.negative_linestyle'] = 'solid'\n", "plt.figure()\n", "plt.contour(X, Y, stream, 20, colors='k')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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lka9YLKYUdE2GvXyqOgnOZH86vx+9z2kLmB76+vqQl5eHnJwc3Lx5Ezdv3kRZ\nWRmdlbm7uyMuLg5Lly7FkiVLEBsbCzs7Oy0f9dQwPDyM9PR0XLhwARcuXMCNGzegUqlgYmKChIQE\nJCUlITExEfHx8Tq5MiOpqJycHDpyc3M5XpIuLi6UgEOEvoKCgnTy88wWSIMBv6bFNk4ho7u7W6NW\nPwBYW1vTiSPbvJdNUSf3kSBtbW095+2aQtCe52AYBi0tLdT6i2yrqqroc1xdXalONJEhXbRokRaP\nenoYHR3FjRs3cO7cOZw/fx4ZGRlQKBQwNDREfHw8UlJSkJKSgmXLlulkUGtra6MrHELEIUVBsViM\noKAgNRKOk5OTlo96djCRn6smyvpEeV87OzuaLmXr8vMp6yRQ68sqRAja8wgjIyMoKSlBYWEhx0yW\nrZHt5+eH6OhojomuPgZoYPyHXV5ejtTUVJw7dw4XL16kS9no6GisXbsWKSkpWLVqlc4VQ0dGRpCT\nk0P7u7OyslBfXw9gPECHhobSC2lsbCyioqJ0OmUzFYyNjaGlpYXDhNRk6qvJz9XGxgYuLi5qZr5s\nBytCVdeXIDxVCEFbD6FQKFBZWcnRxy4uLkZFRQV1kWc7zBCXmcjISL0XsO/o6MD58+eRmpqK1NRU\nSnP38fHB2rVrsW7dOiQnJ8PR0VHLR8pFU1MT0tPTaX93Tk4OLVJ5e3vT3u4lS5YgJiZGrwP0wMCA\nRjYkMfZtbm6mbkAEhKZO2m3Zbbik22vRokV6p9A4GxCCtg5jcHAQ5eXlVIKVjPLycvqDF4vF8Pf3\np9rYZPj7++slsYMPhUKBjIwMnD17FmfPnkVOTg4YhoGtrS3WrFmDdevWYd26dfD19dX2oVIwDIOy\nsjJcvnwZV65cwdWrV6met5mZGZYsWYKEhAQsW7YMy5Yt0xsNFQKFQoHa2lo1v0hyH5+qbmRkRP0h\n+YxIwoq0s7MTGg0mCSFoaxlKpRK1tbUc+6fy8nKUlZVxCk5isRh+fn4ICQnhdAQEBwfrBZtwsiAB\njwTptLQ0DA0NwdDQEMuXL8e6deuwfv16xMXF6cxFiWEYlJSUIC0tDRcvXsTly5fR0dEBYJxJu3Ll\nStrfvXjxYr1QIpTJZKiqqqKsSDY7sqGhga7ogHEJB7ZsA2FDkrFo0aJ5oa2iK5i1oC0SiawAfAxg\nMYDTDMM8xXt8wQTtoaEh1NTUUBnW6upq+oOora3lLBVtbW3VZFhDQkLg7++vV+11U0F3dzfOnz+P\nM2fO4OzXYArsAAAgAElEQVTZszTlERAQgPXr19OUh7W1tZaP9D+orq7G+fPncf78eVy8eJEKhHl6\neiIxMZG2DwYEBOjsDJJhGDQ3N1NWJNlWVFSgrq6OE5gdHBzUWJFE7MzFxUUIynOI2Qza6wCkA2AA\n5ALYwTDMTdbj8yZoExlWkrsjS0WyXOQr/tnY2MDPz48yzgj7LDAwEI6Ojjr7I58pKJVKZGZmIjU1\nFWfOnEF2djYYhoGNjQ3WrFmD9evXY/369fDx8dH2oVKQCwspetbU1AAYb7kjXSnJycnw9vbWue+P\nWJORGgixJZNKpZweZAsLCzpRCAgIoFt/f3+9a/fURSiVSg4dnTAf2bcHBgboloz+/n4MDg5iYGAA\ng4OD6OzsnP30iEgk+hrAMwzDNLHu04ugLZPJqJAUXwOYFFa6uro4rzEyMoKnpye8vb2pmA7RavDz\n84O9vb2WPo12wDAMKioqaJBOS0vDwMAAxGIx4uPj6Ww6Pj5eZxx3xsbGkJ2djVOnTtELi0qlgrW1\nNZKTk7F27VqsXbsWQUFBOhWkBwYGaOcQ256MmBgD/7EmI8xIwo50dXXVqc+ia5DL5WqmvGxzXk1U\ndUJH7+vr+1HzXuA/Br5WVlYTjnfeeedHg/Zt/Yr+nSapZwdsggMHDtD9pKQkJCUl3c5bTQkymQxt\nbW1oaWmhvZ9sxT+i+scPyMB4CoMUVIiMKDuH5+LiojP5Vm2hs7MTFy5cQGpqKs6ePUvb2Xx9fbF9\n+3asW7cOKSkpOjWD6+rqwpkzZ3Dy5EmcPn0aXV1dEIvFWLp0Kfbt24f169dj6dKlOnNhaW1tpYSb\nnJwc5OXlobq6mj5uY2ODiIgIbN++nRo5h4WF6Twlf7Yhl8vVDHr5Jr2aKOo/FnRNTEzUWI9eXl6U\nks6mqBNKOpuqbm1tDQsLC7ULZ1paGtLS0qb0GW9rpi0SiX4J4DOGYYZ498/oTJuITbENO4n6nyYV\nQE3uGGKxmAqyu7i4cFqQiEi7u7u7zvX86gIGBwcpRfzcuXPIy8sDMB44UlJS6Gzaz89Py0f6HzAM\ng9LSUnz//ff4/vvvkZGRAZVKBScnJ2zcuBEbN27EunXrdCLIdXV1Uf0X4n7T3NxMH/f396eEG7J1\nd3dfEDPnwcHBWxr28qnqE5FxgPHuHr5BL5+azqepk0A9V4StWe0eEYlE9wLIYhimRSQSSRiGaWc9\nNmHQVqlU6Ovr44i0sAfbzp79ZWhqxgfG6ansxnvSlO/s7IxFixbRXlAnJyedmUXpOuRyOTIzMylF\nPDMzE6OjozA2NkZCQgJNH8TGxurU/3RsbAzXrl3Dd999h2PHjlFtlcWLF+Puu+/Gpk2bEBcXp9XC\nmkKhQH5+PnWYz8rKojNokUiE4OBgyl6NiYlBVFSUThVpZwIymYyzAuYb9rKp6kRhkg9zc3M1k15C\nUWfT1Nl0dX3oxJrNQuSTAJ4H0AXAGMAbDMN8wnqceeKJJziqWGylrIneUyQSwc7OTk1YiigAsp2V\nCYV1vnZdzCXkcjmysrKoIl56ejpkMhnEYjEWL16MdevWYc2aNVixYoXOnfhyuRwXLlzAN998g2PH\njqGjowNGRkZISUnB5s2bcffdd8Pd3V1rx9fb24uMjAxcvXoV6enpuH79OmQyGYBxiYFly5ZR4k1c\nXBysrKy0dqy3C5VKhY6ODg4Lkgy2ca+mlbBIJIKjo+OEDEii9El+//OViKPVPm0nJye6xOAvR9hL\nFPbV0M7ObsHni+cCg4ODyMzMxKVLl3D58mUaSEQiEaKiopCYmIiUlBSsXr1aJ2U9R0ZGcPr0aXz9\n9df44Ycf0N/fDysrK2zatAlbtmzBhg0btDY77erqwqVLl5CWlobLly+joKAADMNwbNeIN6Y2LybT\nAZsNSTxUScGeBGn+itjAwICmI/nGvWwNfGElPA6BXCMAwDjN+tq1a0hPT8fVq1eRm5uLsbExOpNe\nvXo1kpKSsGrVKp0qHrIhk8lw+vRpHDlyBMePH8fQ0BDs7e1x77334ic/+QnWrl2rlVXXwMAALl++\njHPnzuHChQsoKCgAMJ4/Xb58Oe3pjo+P1/nZoVwuR21tLaqqqqg3JLvFlc+GNDQ0hLu7uxoLkl0r\nkkgkwkRsChCC9gKETCZDbm4udZ65du0a7e4wMzNDfHw8VqxYgZUrVyIhIUGn86VyuRxnz57F4cOH\ncezYMQwODsLBwQE/+clPcN999yEpKWnOGYgqlQo5OTk4ffo0zp49i2vXrmF0dBSmpqZISEhAcnIy\nkpOTsWTJEp0UNZLL5aiqqkJ5eTnHK7KyshKNjY2c1KWpqSmHCent7U29U728vODs7CwE5BmGELTn\nOUZHR1FaWkolP7Ozs5Gfnw+lUgkAtG2RLMejo6N1MpCwMTY2hrS0NHz55Zc4evQoent7YW9vjy1b\ntuCBBx7QSqDu6enBmTNn8MMPP+DMmTNUWTEmJobqo6xYsUKnJGE7OjqoBRmbFVlXV8cJzE5OThN6\nRDo7OwtsyDmGELTnEWQyGYqLi6lm9s2bN5Gfn0/7S62srKixwbJly7B06VK4urpq+agnB4ZhcP36\ndXzxxRc4cuQIWltbYWlpiS1btuChhx7C2rVr5zxQV1VV4dixYzh27BjS09MxNjYGR0dH3HHHHbRd\nUCKRzOkxaUJPTw8l2ZBRUlLC4SCYm5tzpBPYXpG6WLPQZ4yOjlK24+DgIIftODg4iKGhIbrPvo+M\n06dPC0Fb30AcTYqKiji62VKplOqYWFpaYvHixYiNjUVMTAyWLFmCwMBAvZsVlZeX49ChQzh06BCq\nqqpgbGyMTZs2Yfv27di0adOcdqowDIOioiJ8/fXX+Oabb1BUVAQAiIyMxF133YW77roLS5cu1Vo6\nQKVSoaqqippdFBQUoKCggGq5AON98+Hh4VRwjDAi3dzc9O7cmEswDIORkREOw5FtwquJij4RLV0u\nl0/6fU1NTWFhYQFLS0tYWFjAwsKCyD4IQVsXoVKp0NDQQHUiiKN2UVERRzPCw8MDERERiI6Opq4m\nvr6+evsjbG1txeHDh3Ho0CFkZ2dDJBJhzZo12L59O7Zs2TKnMz8SqL/66it8/fXXKC8vh1gsxqpV\nq3Dvvfdi8+bNWtFIUalUqKysRHZ2NiXb5ObmUuKIoaEhQkJCEBkZSUdERMSCpqrz+R8TmfFOREsn\nKcVbwcLCgrIbCe2czXi0tLRUo6VbWlrS+9nB2dLSUuMEQEiPaBkMw6Crq4sWfIhEa1lZGcrLyznU\nWUdHR4SGhiI8PJzOliIiInS2m2MqGBgYwDfffINDhw7h/PnzUKlUWLx4MXbs2IGHHnpoztM41dXV\n+OKLL/Dll1+ipKQEBgYGSE5OxrZt23DvvffOuQZ2V1cXMjMzqdNNdnY2ent7AYzPxsiqirgRhYaG\nzmt+wujoKDXoZZvyajLmJdT0W/E/gPH/I9+Ilz000dHZlHQrK6s5aUkUgvYcQC6Xo6GhgbZHEdF4\nok/MFvMxMDCAt7e3mjRrSEjIvPMDVCqVSE1NxaFDh/Ddd99heHgYPj4+2L59O3bs2IGQkJA5PZ7e\n3l4cOXIE//znP3H16lUAwKpVq/DQQw9h69atc5afZhgGVVVV1EAhPT0dZWVlAMbPj4iICOp0ExcX\nh9DQ0HnRvzw8PMzxfmSzHvlDE/mGwNLSUs2Yl23OS7gfhBdCArUuFYlvBSFo3yYYhkFHR4ea+h8Z\ntbW1aG1t5VzhjYyM4OXlRSvy/v7+8Pf3R2BgILy9vXW+e+N2oFKpkJGRgS+//BJHjhxBZ2cn7O3t\ncd999+Hhhx9GQkLCnC7fVSoVLly4gH/84x/49ttvIZPJEBISgkceeQTbt2+Hp6fnrB8DCdIXL17E\nxYsXkZaWhpaWFgCAvb09VqxYgeXLl2P58uVYsmSJ3lmRjYyMoLm5GY2NjRwxNrZRb0tLCwYGBjS+\n3t7eXs2gl2/Oy6amz+cVBiAE7QlB3KDJVZ+4QbNPuqamJrS0tKgxvIyNjakKIHHxIFs/Pz+4urou\nuN7VoqIifPnllzh06BDq6upgamqKu+++Gz/96U+xYcOGOb9QtbW14R//+Ac++OAD1NTUwNbWFjt2\n7MDOnTsRGxs76xcO4nV57tw5pKam0j75RYsWITk5GatXr8aqVasQEhKi07UJpVKJxsZGjexHsuUT\nboDxbhVNzEe+Ua+Tk5NeOP3MJRZM0GYYhgqIE6EpthogGewlmabCg5WVFaXcsgeb6eXk5KTTP7S5\nQkVFBQ4fPoyvvvoKxcXFEIvFWL9+PbZv34577713zjU0GIbBpUuX8O677+Lbb7+FUqlEcnIyHn/8\ncWzZsmVWl8cqlQo3btzAyZMncerUKWr8QLwu16xZg+TkZJ3T51apVGhpaaGOS3wGZFNTE8fhBhh3\nuWH7PxL2o7u7O9zd3eHq6gorKyud+pz6BL0L2iqVCgMDA1SAnC82dStlwIlUAE1MTOhVnS1CQ676\nbP0DfRbrmQtUVVXhyJEjOHz4MPLz8wGM54UffPBBbNu2TSt9y8PDwzh06BDeeustFBUVwc7ODrt2\n7cLPf/5zBAUFzdr7joyM4Ny5czh+/Di+//57tLW1QSQSYdmyZdi4cSPuuOMOxMbGan3VRWzHiD8p\n2xeyurqailcB4wHD3d2dsh/ZfpCenp5wd3fXeSq+vkOrQfvy5ctq9juk75Hv+kBab/r7+9Wu7GwY\nGRnRwgPJcZF9tjIgewhX/duDVCrF0aNHcfToUaqjvXz5ctx///3YunUrPDw8tHJcbW1t+Pvf/453\n3nkHXV1dWLx4MZ5++mk8+OCDs9bfPTQ0hFOnTlGhqqGhIVhZWWHDhg3YvHkzNmzYoDV9bqVSicrK\nShQXF6O0tJS2kpaXl2No6D9y96amppxaC5sF6enpOa9rLvoArQZtTfeLxWK1dhp2yw1px+GrA5JK\nsCbnBwEzC5VKhczMTHz33Xc4fvw47WxISEjA1q1bsW3btjkp4E0EqVSKgwcP4vPPP4dCocA999yD\nPXv2YNWqVbNybigUCpw5cwZffPEFjh8/juHhYTg5OWHLli3YunUrkpKS5jTQEfJVQUEBCgsL6bas\nrIyz2vT09ERwcDCCg4MpCzIwMBDu7u5Cem8WMTo6iqGhIQwPD9OtpjEyMqLx9gcffKC9oJ2amkr7\nG0mAFoKubqK/vx+pqan44YcfcPLkSbS3t8PQ0BDJycm45557sGXLFri5uWn1GHNycvDyyy/jm2++\ngYmJCXbt2oVnn30WgYGBM/5eDMMgNzcXH3/8Mb788kt0dXXB3t4e999/Px544AGsWrVqTtIepPPk\n5s2buHnzJmVDEu0TYDw4s+3GwsLCEBwcrHddKHMNhmEgk8k4bMap0M/JbTYFfWhoaMI07a1gZGQE\nMzMzmJmZoa2tTb9y2gLmBiqVCvn5+Thz5gzOnDmD9PR0KJVK2NraYsOGDbjnnntw5513wsbGRtuH\nivT0dPzP//wPTp06BRsbGzz99NP41a9+NSt97b29vfjss8/w0UcfoaCgACYmJrj33nvx8MMPY926\ndbM+o+7o6KDqjFlZWbhx4wYl2RgbG1NmLLEci4iIWJDaIaTxQJPZLjv1qomGzh6jo6OTej8jIyPK\nbOTTztn77GFubk637H0zMzN6mwRqdh++3hUiBcwOGIZBTU0NbUO7cOECna1FRUXhjjvuwKZNm5CQ\nkKAzRI6MjAzs27cPFy5cgKOjI/bs2YMnn3xyVi4kubm5+Pvf/44vvvgCIyMjiI2Nxc9+9jM8+OCD\ns8ZIZRgG5eXluHLlCtLT05Geno6KigoA4ySbyMhILFmyhDrahIWFzbv2uLGxMfT09KixHCcy32XT\n0YkOz0QwMTFRYzcSujmbeq6Jgs7fn8v0lxC0FyhUKhVKS0tx9epV6k7T2NgIYNzias2aNVi7di3W\nrVsHFxcXLR8tFzdv3sS+fftw6tQpSCQS/O53v8MvfvGLGV/uq1QqnDhxAgcPHsSlS5dgbm6OHTt2\n4IknnkBMTMyMvhfwn1THuXPncPHiRVy6dAltbW0AxiUMEhIS6IiNjdXLLo2xsTF0dXVNyHTk09K7\nu7snpJ6LxWI1812yT+pgZJ/tkE4CtL6ScISgvUDQ09OD69evc4wPyLLa2dkZiYmJSExMRHJyMoKD\ng3WyriCVSrF37158++23sLOzw29/+1vs3r0blpaWM/o+SqUS//znP/Hqq6+irKwM7u7ueOaZZ/D/\n/t//m/FUQ19fH86dO4fTp08jNTUVdXV1AAA3NzckJSUhKSkJq1evRkBAgE5+JwQKhQItLS0cpiMZ\nbGp6e3u7xu4vAwMDDsuRzXQkdHQ+Nd3KympBFkyFoD0P0dXVhfz8fOTk5NACFVlWi0QihISEUB/C\nhIQEnQ8IjY2N2L9/Pz755BNYWFjgueeew7PPPjvjaRCFQoFPP/0UL7/8Mmpra7F48WL85je/wbZt\n22Y07VBRUYHvvvsOP/zwAzIyMjA6Ogpra2ukpKRg3bp1WLt2rU59J6Ojo2hqaqJsRzbrkYz29na1\n1xkaGsLZ2XlCtiOhpkskEtja2i7IADwdCEFbjzEyMgKpVIri4mIUFxejsLAQ+fn5aGpqos/x9PRE\nTEwMFRiKjY3VieLhZNDV1YVXXnkFb7/9NlQqFZ566in84Q9/gKOj44y+z9jYGD7//HMcOHAAtbW1\nWLp0Kfbv34+NGzfOSOBkGAaFhYU4cuQIvv32W5SUlAAYrxXceeed2LhxI5YtW6a1fDTRz6mqqtLo\n/djQ0KCWH7azs+N4PRKmo5ubG6WnOzo6CoF4FjDrQVskEq0G8CeGYdby7heC9iSgUqnQ1NREZVuJ\nJVRpaSlqa2tpvs/IyIijnxwVFYWYmJgZD3BzAblcjrfffhsvvfQS+vv78fDDD+PFF1+El5fXjL/X\n+fPnsWfPHhQUFCA2NhYvvfQS7rjjjhkJ1hUVFTh06BAOHz6M0tJSiMViJCYmUh3u2fg8t0Jvby89\nf4gEMGE/Eh1uAhcXF/j4+MDHx4dq5xDvRw8PD6FdUIuYk5m2SCRKZxhmBe8+IWjjP8JUdXV1qK2t\nRV1dHZVvJVoPbBqxmZkZgoKCKCEiLCwM4eHh8Pf31/vOAZVKhcOHD2Pv3r2oqanBnXfeiVdffRVh\nYWEz/l51dXXYs2cPvvnmG3h7e+OVV17Bfffdd9vBur+/H//617/w8ccfIz09HSKRCImJiXjggQew\ndevWOZHX7e3tRWFhIV2BFRcXQyqVorW1lT6HSAATSzG2/6O3t/ecOgIJmBomE7Rnor9r6t3k8wCj\no6Nob2/nqAOSHCA7R8g2OgDGRal8fX0REhKCO++8EwEBAfD390dAQMC8ZatdvHgRe/bsQV5eHiIj\nI3H27FmsW7duxt9ndHQUf/nLX/Diiy8CAF566SU899xzty0WlZ+fj3fffReff/45hoaGEBwcjD//\n+c/46U9/OmukI9KmSTxBie0cKWYC4+dSaGgoNmzYgJCQEHqx9/HxEejocwiVSgWZTIaRkRHOdqIh\nl8vV9uVy+aStymZipn2RYZhk3n3M/v376W1SKddlMAyDvr4+6pihSSmwra2NCrh3dHSotSsZGBhQ\nlUAPDw8q4erp6UmXonZ2djpThJptFBcX4w9/+AOOHz8OLy8vvPzyy3jwwQdn5cJUUlKCRx99FDdu\n3MCWLVvw17/+9bbo9iqVCseOHcPBgweRnp4OU1NTPPTQQ/j5z3+O+Pj4Gf8OW1pakJmZiezsbGRn\nZ3OINQYGBggODkZERASioqIQGRmJ8PBweHh4LJhzaTogrEc+e5FQzKdCNx8ZGVHbJ8F5OixIPgwM\nDGBgYACFQjEn6RGNQVsb6RE2U4ovRqVJNZBYFZHtRAwpMzMzWg1nV8pdXFzg6upKizOLFi3Suqqb\nLqChoQH79u3DZ599BisrK/z+97/Hr3/961mRR1WpVPjrX/+KP/zhD7C0tMS7776L++67b9p/T6FQ\n4PPPP6ctgT4+Pti9ezd27twJe3v7GTtmqVSKK1eu4MqVK7h27RpqamoAjHdlREREYMmSJdRiLDw8\nfMGkNJRK5S2ZjJOlnZMgfSsBOk0wNTWlrEXCYCS32fvkeexB7jM1NeXsm5iYwMzMDCYmJvQ2eY6J\niQmMjY3pxXeuctrTDtpjY2Ocqx77isj+52v6otiuyORLHhgY+NEvydLSkjbqs22K2H2ifOeMme4V\nnq/o7OzEn//8Z/z9738HwzDYvXs3/uu//mvWlO96enrw8MMP48SJE7jnnnvw/vvvT9vfcWxsDF98\n8QX+9Kc/oba2FtHR0fj973+PrVu33jZLlGEYlJWV4dy5czh//jwuX75MzQMWLVpEWzSXL1+O6Oho\nvQ7QDMNgYGBAI6uRTJ4mMtft6+tTSydOhIlMdIn5Lpt2roluTqjkbKq5mZmZ1idds57TFolEEQB8\nRSJRKMMwJezHHnzwQc5ygr3kIMsRdhFuEu/F+aIIBVUikXAMOPkmnXzlQH0v6Okient78de//hUH\nDx7E8PAwHn74Ybzwwguz2kGRl5eHrVu3oqGhAX/729/w5JNPTitVwDAMTpw4gf/6r/9CUVERYmJi\n8M4772DDhg23lXoYHBzEuXPncOLECZw6dYq2anp7e2Pz5s1YtWoVVq1aBT8/P51OcSgUCjUzEZI2\nZJvtku2tVqzAeCcUn83o6enJ+c2yf89kn/2bt7CwmJe1n8li1vq0AwMD6bKBfzXjC6nwr4bsKya5\napqbm+v0yb0Q0dXVhTfeeANvvfUWBgYGsHXrVrz44osIDQ2d1fc9fvw41QX5+uuvsXz58mn9ndra\nWjz11FM4efIkAgIC8NJLL2Hbtm3TDgitra04duwYvv32W1y8eBEKhQLW1tZYv349Jdb4+vpO62/P\nJBiGQX9/P6eI3tzcTK332Ma7E5nsGhoaUnYje5U6kdkuGWZmZsLv+BYQyDUCZgVkdvvOO+9gcHAQ\n27Ztw969exEdHT3r7/3pp5/iZz/7GWJiYvD9999PKx0yOjqKN954A/v374dYLMZ///d/Y/fu3dNa\nhXV3d+PIkSM4dOgQ0tPTwTAM/P39cc899+Cuu+7CypUr53x1NzIyQo2n2d6OhOnY1NTEMUYgsLS0\npLUZNrORzW4kqUMbGxsh+M4ChKAtYEaRnZ2N119/Hf/617/AMAzuu+8+/PGPf0R4ePicvP/rr7+O\n5557DmvWrMG33347LXu4mpoaPPTQQ8jKysI999yDv/3tb1N23xkbG8OpU6fw0Ucf4cSJE1AqlQgN\nDcUDDzyALVu2IDw8fFYDGsMwaG9vR2VlJSorKynTkfT/s3u2gXHxJVdXV7i7u3OYjmyGo4uLi1C7\n0QEIQVvAbWNgYABffvkl3n//fdy8eRM2NjZ4/PHHsXv37jll/X388cd47LHHsG3bNnz++efTUnE7\ndeoUduzYAZVKhffeew8PPPDAlIJrU1MTPvzwQ3z44YdobGyEs7Mztm/fjocffhjR0dEzHqiJhVhJ\nSQlKSkoo47G8vBwDAwP0eWKxGO7u7vDz8+MwHQnb0cXFRajl6AkmE7TBMMyMj/E/K0BfoVAomJMn\nTzKPPPIIY2FhwQBgIiIimLfffpvp7++f8+M5efIkY2BgwKxfv55RKBRTfr1KpWJeeuklRiQSMVFR\nUUxlZeWUXl9SUsLs3LmTMTQ0ZEQiEXPHHXcw33zzzbSOZSK0tbUxp0+fZl555RVmx44dTHh4OGNk\nZMQAoMPT05NZt24ds3v3buatt95iTp48yZSXlzNyuXzGjkOAdvHv2HnL+KobivcCtA6ZTIYLFy7g\n2LFjOHr0KLq6umBjY4MHH3wQjz/+OJYuXaqVHKZUKsW2bdsQGRmJr7/+esozRoZh8Oyzz+Ktt97C\njh078P77709aq7qgoAD79u3D8ePHYWZmhieffBLPPPPMbRcTu7u7cf36dVy/fh3Z2dnIzc3lCIF5\neHggKioKd911F8LCwhAaGoqgoCBBE0RLGB0dhUKhoEMul3Nu84dSqVTb17TVNCYDIT2yQMEwDEpL\nS3Hx4kWcPXsWqampGB4ehqWlJTZt2oTt27fjjjvu0KqY/MjICJYuXYq2tjbk5eXB1dV1Sq9nGAbP\nP/88Xn/9dfz617/GwYMHJ3XhaWpqwr59+/DJJ5/AxsYGv/rVr/D0009PS6CL+Tcd/fLly7hy5Qqu\nXr2K8vJyAONL4eDgYEqiWbx4MaKjo2fNLUdfoVQqJ2Qo8qnjk6WQ8+njhNlIbpOhUCimTNCZLEQi\nEYyMjDjj30zrWdceEaAHUCqVKCgoQEZGBtLT03Hp0iVasPLy8sLOnTtxzz33ICkpSWdcP55//nkU\nFRXh9OnTUw7YAHDgwAG8/vrrePrppycVsEdHR/Hqq6/ipZdewtjYGPbs2YO9e/dOOYi2tbXh/Pnz\nuHDhAs6dO0f1Quzs7LBy5Urs2rUL8fHxiIuLm1YxVRfBMAyGhoYo6Y2wEzWxFPlbPq2cP37MWuxW\nIGxEwj7ksxItLCxgb29PH+MPY2NjGBsb09tGRkZq9xsZGcHY2JjzGNknwZjcR7ZGRkYaiTyTmVQI\nM+15iIGBAZSUlKCwsBA5OTnIyclBfn4+JTN5eHhgxYoVSElJwZo1a+Dj46Nz7VtSqRTh4eF46qmn\n8NZbb0359T/88APuvvtu7Nq1Cx999NGPfj62dsnWrVvx2muvwcfHZ1LvxTAMbt68iR9++AEnTpzA\njRs3AAC2trZISkrC2rVrkZiYiNDQUJ0lhSgUCo7UA9uPkc9a5JvmkkA92d88Mcq9FUORGN+yDXHZ\nQxOVnH3b1NSUQw/XFwjdI/MYCoUCdXV1qK6u5ugnl5SUoL6+nj7P2tqaLr2XLVuGhISEKbe4aQPb\ntm3DmTNnUF1dPWXJ05aWFkRGRsLV1RVZWVm31DxhGAYHDx7E3r17YW1tjXfeeWdS2iUMwyAvLw9H\njkbi+QMAACAASURBVBzB4cOHUVNTA5FIhGXLlmHTpk244447sHjxYq3QohmGQU9PD/VqZIufsT0a\niU9jV1eXmuY2H6amphpZi5oYi3xqOWEyk0AtdLJMjLmSZhUww5DL5Wqyr4QcUV9fj7q6OjQ2NnJm\nNlZWVggICMDKlSsRFhZGh6+vr87O7iZCdXU1jh49ij/+8Y/T0qj+4x//iIGBAXz11Ve3DNhKpRKP\nP/44Pv30U9x777147733fpSs09zcjH/+85/45JNPUFpaCgMDA6xduxb79u3D3XffPavGFAzDoLOz\nEw0NDdSvsampiePX2NLSgvb29gmp5La2tpTB6OrqioiICMpgJIOwF4lZrq2trc6kzAQIQXvWIZfL\nOUtNMrMho7OzkyMB29bWRiU52TAyMoK7uzs8PT2RlJQEX19f2pMbEBCARYsW6d1ScCJ89tlnEIlE\n+MUvfjHl19bX1+Ozzz7DE088gZCQkAmfR5icZ86cwYEDB/CnP/3plv+/9PR0vPbaa/j++++hUqmw\ncuVKfPDBB7j33ntnLFAzDIPW1laOSQYx0Kivr0djY6OaXo9YLIZEIqFMxoiICA6jkbAYJRIJHBwc\nhFnuPICQHmFhbGxMo7gVf7CLLBOpDpIc4K1EscRiMVUVdHR0hEQigbOzM/3RsWVfJRKJ3s2Yp4uA\ngAB4e3sjNTV1yq/97W9/izfeeAOVlZUTkn/6+vqwfv163Lx5E//3f/+Hn/3sZxqfNzY2hq+//hpv\nvvkmrl27BgcHB/z85z/Hzp07ERgYOOVjY7+/VCql1nKVlZXUGmx4eJjzXBcXF0qU8fDwoIxGwmp0\ndna+bRVCAboDnU2PjI2NQalUYnR0lPYn8nsXNfU28gdpyeG36bAH3ymCDHbLEBlTFTM3NDTk5O9s\nbGzg4OAAHx8fqmBGlpds0RwirGNjY7NgAvFkMTw8jMrKSjz66KPTev3FixexcuXKCQO2SqXCI488\ngpycHBw9ehSbN2/W+LzU1FQ8//zzKCgogL+/P95++2089thjk+7xBsbP8/LycuTk5KCgoAAFBQUo\nLCzk9GQbGhrC19cXAQEBSElJgb+/P3x9feHr6wsvL69Z0SAXoN+YtaDt4eFBAzMJzmQ7m7NwIyMj\ntfYethC5qakpbG1t1UTL2RVqdgVbkxIhKaiYmJjMm5SErqC2thYApkVgkclkyM/Px549eyZ8zl/+\n8hccP34cb775psaALZVK8dxzz+HUqVPw8fHBV199hfvuu29SF9fGxkZkZWUhMzMTWVlZyMnJocJM\nxsbGCAkJQXJyMsLCwhASEoKQkBD4+voKM2UBU8KsnS3r16+HoaEhDA0NYWRkpLbl7/N7GPl9jvz+\nR9Inye6h1McWHwFckHTSdDwO29vboVQq4efnp/HxpqYm7N+/Hz/5yU/w9NNPcx5jGAbvvPMOnn/+\neZiYmOC1117D008/PWEBjmEYVFdXIy0tDRcvXsSlS5fQ2NhIjz0mJgaPPfYYYmNjERsbi6CgICGf\nPEtgGIYzKSQTRf5QKpUYGxtTu5/cN5ntdIdKpbrlvkqlmjSJZ9aC9kcffTRbf1rAPEZwcDDEYjGK\nioqwbdu2Kb2WEFU0yY4CwIsvvoixsTH85S9/4Vzc29vbsWvXLpw8eRIbN27Exx9/rLGLRKlUIiMj\nA8ePH8fx48dRWVkJAHB2dkZiYiJWrlyJ+Ph4REVFzYtuC4ZhoFAoJsUu1MQk5G8nQ/eeKE3KT6ey\nA/RsMRanC5FIRD0f2UMsFnO2mvYnA2FdJkCnYG5ujqCgIJw5cwb79++f0srJysoKYrEYLS0tao91\ndnbio48+whNPPMEhzUilUqSkpKCnpwdvv/02nnrqKc57yuVynD17Fl9//TWOHTuGvr4+GBsbIyUl\nBc888wzWrFmD4OBgra3wFAoFxzuR75eoydSWFNj5RXd+jUcmk81YKpO9Giar6on2zc3N1ejdmgZZ\nyWtavZP7DQwM6G3+Pvv15DYJoOz7+Y/xB/sxsVh8W+eCwIgUoJf48MMP8fjjj+Pjjz/Gzp07p/Ta\n5ORktLS0QCqVcn4AR48exbZt25CRkUGdbsrLy5GYmAiGYXD27FlERkbS59fU1OCtt97Cxx9/jL6+\nPtja2mLz5s3YvHkz1q1bN2Pa04T+zbbuYvsrsn0ViVE12/RWLpdP+r1IvYbPOiT1HD7zkG9Qq8mU\nll0/4tO/ydbQ0FBIW04SAiNSgF6C9EFXVlbiwoULUzJZeO+99/DLX/4S165dw7Jly+j9zzzzDD74\n4AP09vbC2NgYtbW1WLVqFeRyOdLS0hAaGgqGYXD69Gm8++67OHHiBMRiMe677z488sgjSElJmVKe\nXSaToampiZJgWltb6SBei21tbejo6Lhl4LWwsICdnR3tRNLko8hmIvLZh2Rrbm4udCrpAYSgLUBv\nUVhYiLVr16Kvrw8HDx6ctHFvd3c3wsPDYWJiguzsbEp8eeihh3Djxg1UVFSgo6MDCQkJ6OzsxKVL\nlxAREYHTp0/jwIEDuH79OlxcXLBz50489dRTcHNz0/g+crkc1dXVqKqqomSYuro6au/V2dmp9hoj\nIyPag+/k5ES3pE+f77Noa2s7rYKsAP2FzvZpCxDwY4iIiEBBQQF27dqF3bt349SpU3j99dd/lNRi\nb2+P7777DqtXr8bWrVtx5swZusQnnSn79+9HXV0dLl26BIlEgsTERFy5cgVeXl744IMP8Mgjj9Bg\nqVAoqHtMTk4OioqKIJVKUV1dzSmAWVhYwNvbG56enliyZAk8PDzULL3s7OyENIGA24Yw0xag02AY\nBm+//TZ+//vfU33tHTt2YNOmTRO29gHAoUOH8NOf/hRJSUk4duwYXnjhBbz77ruora2Fp6cnduzY\ngdDQULz44otQKpV444038Mgjj6C0tBTXrl1DTk4Obt68iaKiIqrjYWhoiKCgINpjHRgYSMkwTk5O\nQkAWcNuY1fSISCR6DkAbABuGYf7Oe0wI2gJmFC0tLfjiiy/w+eefIy8vD8A4AWf9+vVYs2YNVq1a\npdam9/nnn2PXrl2IiIjAs88+i0cffRR79uzB66+/Di8vL9TV1WHDhg2Ii4tDTk4Orl69iv7+fgCA\ng4MDYmNjERMTg/DwcISEhCA0NFRgKAqYVcxa0BaJRCsBbGQYZq9IJPojgLMMw1xnPc4IRY+Fi9m+\nYE/090m3AvHSU6lUkMvlUKlUMDQ0xOjoKMRiMRiGgZGRESIiIlBXV4fOzk4EBwcjMTERq1evxooV\nK+Dp6SnMnAXMOWYzaP8PgBKGYQ6JRKKfAIhkGOYA63Fhmi1A50G6K5ydnQWLLwE6gUuXLs1aIdIR\nQM+/9+UAFk3z7wgQoDUIKTwB2gZxBZoKphu0OwAQa2grAF38JwhLSwEEcxUc2ekRlUoFhmEoq08s\nFkOlUnHSI6GhoaitrUVBQQGCg4OxevVqmh7x8vISzmEBc45ZY0SKRKIEjOe094lEohcApDIMc5X1\nuFCIFDCjaG5upoXI/Px8AICfnx/Wr1+PlJQUrF69GhKJhPOayRQi169fjyVLliAvLw9Xr15FX18f\ngPFCZExMDKcQGRYWJhQiBcwqZrt7ZC+AZox3j/yV95gQtAXMCEjL3+9+9zvIZDLEx8dj+/btuOuu\nu24p30pa/pKTk/Hdd99pbPkLCwvDCy+8AIVCgTfeeAOPPvooSktLkZmZyWn5UyqVAP7T8hccHIyQ\nkBAEBQXBz88Pvr6+kEgkwsxcwG1DYEQK0Gu0tbVh586dOH36NDZt2jQpcg0AZGVlITExEfHx8ZRc\n89hjjyE1NRUNDQ148skn8eGHH+LSpUvw8fHB/fffT8k1e/fuxaOPPkrJNUqlkpJrbt68ieLiYkqu\nGRsbo+9pYWEBLy8veHp6wtPTUyO5xt7eXgjsAm4JIWgL0FsQGnt/fz8OHjyIX/7yl1OisZuamuL6\n9euTprETVcGp0tjJqKqqohR20kbIh5GREfVu1ERjd3R0hL29PaWx29nZCTT2BQYhaAvQS8ylYJRM\nJkNaWhrCwsKoYNR7772HH374gQpGPfzww1izZs2UBaOIW3pTUxPa2tqoWzrbxLm9vf2WglHm5ubU\nGZ0tFjWRYBQRi2I7LJEhcCd0H0LQFqCXmCtp1oqKCiQmJkKlUmmUZn377bfxj3/8A319fbCxseFI\nsxLDhdsFwzAYHh5GZ2cnOjo6qCRrV1cXlWS9lTTrrYyj+TA1NeUEcb4kqyZpVrYsK1+adSJZVr40\nq5GRkZAWmiSEoC1ALxEaGgobGxtkZGRM6cc+OjoKExMTPP/883jllVc4j3V2dmLRokV44okn8Le/\n/Y3ezzZBeO2117B79241E4TU1FRqgkBm6snJybjrrruQkpKCkJAQrZogEAMEMoaGhqZkgkD2NY2Z\n+h2zg/hE5geaLAcnY4Kgyc6QbXAw0eCbHfzYdjImCAYGBrdtgiAEbQF6heHhYVhZWWHfvn04cODA\nlF7b09MDe3t7vPHGG3j22WfVHv/FL36Bjz/+GGVlZRz3mvb2djz22GM4ceIENmzYgE8++eSWdmPf\nf/89jh07Ru3GJBIJkpKSsGLFCsTHxyM6Onre2I0plUqOxdjIyAi1GZvIaoxtOabJbkwul1PbsIn2\n+VZjt7IbYxeEdQW3shubaF8sFqO8vFx7QXvXrl1qV72pGPtquiJPNNhLMiFvp9/IyclBbGws/vWv\nf03ZI7K+vh5eXl54//338fjjj6s93tTUBH9/f2zcuBFHjx7lzIgYhsG7776L5557DiYmJti7dy+e\nfvrpCfuyGYZBTU0NNfZNS0tTM/aNi4ujxr7BwcGCse8sgWEYjnnvRGa+E+3zt2wTX/7tmTD21WTu\nS24fPnxYe0Hbw8ODc1Vk/xNn04jT0NCQk2tj59/Yg5+zY+f1yGDbMpHBLvKYmJgIuboZRklJCcLC\nwnDo0CFs3759Sq+VyWSwtrbGnj178Oc//1njc1599VX87ne/w5tvvolf/epXao9LpVI899xzOHXq\nFLy9vfG///u/uP/++yc1GWhqakJWVhauXbuG69evIycnB4ODgwDGO0dCQkIQGRmJ0NBQKu/q5+cH\nQ0NB1l7AOHQ2PaJSqdSWORO5MPPdmskSiuyzHZ/5g718+//tvXd8XNWZPv5c9d5775LVrGbJsrCx\nLOQCNsjYFGNCgISQXUMSCGwSHHACYXdDNg4hWcjyW77OAgaMwdhgG/duy5Zk9TJqo95773N+f4hz\nOHdmJEu2pJmR7vP5nM+9ku5IVzP3vvec932f5+GXddS0VDl/Nxu/PWByCUQr9nwl38rKCjY2Nqzi\nb2NjA1tbWzaoO4mNjY20MlDC4OAgzM3N8cYbb+C3v/3trF+/YsUKWFhY4Pz582p/TgjB1q1bcezY\nMXzxxRd44IEH1B53+vRpvPTSS8jPz4e/vz9+/vOf4+mnn4a5ubna49VBoVCgrKwMN2/eREFBAfLz\n85Gfn4+GhgZ2jIGBAXx9fREYGIjAwECmz+3n5wcfHx+JgbnEoLVBW1sxMTHBAjgt0NAtP3jna7pP\nHbF7e3vR09PDKv3TVff19PRgZ2fH+nSdnJzg7OzMLKnc3NzYcHJyWjIBPjAwED4+Pjh9+vSsX/tv\n//Zv+Mtf/oKKigp4e3urPaanpwfr16/HzZs38Y9//AM//vGP1R43MTGBL774An/961+Rnp4Oe3t7\nPPPMM3jqqadmRPKZCj09PZDJZGxUVFSgvLwc5eXlGBwcFB3r4uICb29veHt7w9PTkw1K3HFxcZFm\n6osIUtDWAoyMjIjatmg7Fx201Yvv3e3q6lL5PYaGhnB3d2eMOz8/P/j6+sLPzw+BgYFwcXFZNKma\n3/3ud3j99ddRU1MDT0/PWb22rq4Ofn5++OlPf4q//e1vUx7X39+Phx56CCdOnMCePXuwZ8+ead+/\na9eu4a233sI333wDhUKBpKQk/PCHP0RaWhocHR1ndY5TgRCClpYWRtaprq5GTU0NqqurUVtbi7q6\nOpVJgCAIcHJygqurK1xcXNgDnw4nJyc4OjrCyckJDg4OUl5dyyEFbR3F6OgoWlpa0NTUxAga9fX1\nqKurY4y7+vp6UW3AwsICgYGBCAkJQVhYGMLCwhAeHg4/Pz+dm6HL5XL4+/vjt7/9Ld54441Zv/5H\nP/oR9u/fj+zsbISGhk553NjYGH7yk5/gn//8J9LS0vCPf/xDbdcIj6amJnz00UfYt28fZDIZ9PX1\nkZKSgkceeQT3338/Y2DOBwgh6OjoQF1dHXN5V3Z7b2pqQmtrK9NLUYa1tTVjX/Imwvb29rC1tWVM\nTEroodvF0A2jC5CC9iLG6OgoamtrIZfLUV5ejrKyMpSVlaGkpAQ1NTXsOEtLS0RHRyMmJgYJCQlI\nSkqa9exVE9i+fTtOnjwJuVw+65lsU1MTIiMj4ebmhhs3bkybFyaEYO/evdi9ezcsLCzw3nvv4aGH\nHrrl3yCEIDc3FwcPHsSBAwcgl8shCAISEhJw3333YePGjYiOjoa+vv6szn0uQAhBd3c3Y1zyKzl+\nddfR0cFWfn19fdP+TmNjY1afsbKyuiUrk2dn8ixNc3NziZo/DaSgvUTR19eHkpIS5OfnIycnB9nZ\n2cjLy8PQ0BAAwMPDA0lJSVi3bh1SUlLg5+endamVkpIShIeHY9euXXjnnXdm/fpjx45h8+bNeOqp\np/DBBx/c8v8rLi7Gk08+iczMTGzbtg1vvfXWtCqCPAghyM7OxtGjR3Hs2DFkZmYCmJzVrl27Fqmp\nqVizZg3CwsK0dtUzNjaGrq4udHV1obOzk6X0urq6REzM7u5uxsakzExay5lpV5ihoaGoI4tnaCpv\n6eCZmvRr2v2lzOCk+7rY3SUFbQkM4+PjyM/Px7Vr13D16lVcvHgRTU1NAABvb2/ce++9uP/++5Gc\nnKw1S+Fdu3bh3XffxYkTJ7Bhw4ZZv37Pnj14/fXX8dxzz+Gdd9655Q08Pj6Ot956C3/4wx8wPj6O\n559/Hrt374adnd2s/m5LSwvOnTuHs2fP4uzZs6iurgYA2NraIikpCatWrUJCQgLi4uJgZWU16/9L\nG0Hp+HxRni/U88xM5S1f7KeMTZ6pOT4+ftvnxbf98m3A/Jbu85wPdXR8ntHJc0Sm45Ko45/QfXXs\nSSloS5gShBCUlpbi/PnzOHXqFE6dOsXa7TZv3owdO3Zg48aNGg3gQ0NDiI+PR0tLC3Jzc+Hm5jar\n1xNC8NJLL2Hv3r144YUX8Oc//3lGM6+Ghga89tpr2LdvH6ytrfGzn/0Mzz333G0VHCkJ5/Lly7h8\n+TKuXLmC0tJSAJM3aEhICGJiYlgKa/ny5bN+SCx2jI2NYXBwUNTZpdyuyzM2b8XgVMfmHB4eVts6\nPDo6Oq+MS2VyYVtbmxS0JcwMw8PDOH/+PA4fPoxDhw6hvb0d1tbW2LZtG5555hkkJCRoZKlZUlKC\nuLg4BAcH4+LFi7MWaiKE4Be/+AXeeecd7Ny5E++//z7MzMxm9Nr8/Hy89tprOHLkCExNTfHjH/8Y\nv/jFL2acNpkKnZ2dyMzMREZGBjIzM5GTk8PYlMBk+mr58uUIDw9HWFgYQkNDERISMqsecQlzh4mJ\nCbWUfJ4zMh09n+eZqOOk8OO9996TgraE2WNsbAxnz57Fp59+ii+//BIDAwOIiIjAT37yEzzxxBML\nvqT/9ttvsWXLFqSkpOCbb76ZdSGLEIJ///d/x6uvvoqIiAgcOnQI/v7+M359SUkJ/vSnP+Gjjz7C\nxMQEUlNT8eyzz2LLli1z1kLX2tqKnJwcRsDJy8uDTCYTdYF4enoiODgYwcHBCAoKQkBAAAICAuDj\n4yMV9xYJpPSIhDtGX18fPvvsM7z//vvIysqClZUVnnnmGTz33HPw8fFZsPPYt28fnn76aWzfvh0f\nf/zxbaVtTpw4gcceewwKhQLvvfceHn300VmtHhoaGvDBBx/gf//3f1FXVwdnZ2fs2LEDP/jBDxAd\nHT3nK5GxsTFUVlaiuLgYxcXFKC0thUwmQ2lpqajbQxAEeHh4MOszHx8feHt7s62bm5vUn60jkIK2\nhDlFZmYm9u7di4MHD4IQgu3bt+PVV1+dlUnBnWDv3r345S9/iZSUFHz11Ve3pWldVVWFxx57DNev\nX8eWLVvw97//HV5eXrP6HRMTEzhx4gQ++OADHD16FGNjYwgNDcXDDz+MrVu3IiIiYl5TSYQQtLW1\nMSalXC5HVVUVI+U0NzeLjtfT04Orqys8PT3h4eHBBmXburq6ws3NDRYWFvN2zhJmBiloS5gX1NfX\n429/+xvee+899PX1Ydu2bdi9ezeio6Pn/W//3//9H370ox8hJiYG33zzzS3JMOowPj6Ot99+m7Eg\nX3/9dTz//PO3NRvt7OzEwYMHsX//fly5cgWEEPj7++OBBx7Afffdh7vuumvBUxfDw8Oora1FVVUV\nI2TRLSVqDQwMqLzO3NycMSt5ViVlVlJ2paOjI2xsbHSunU4XoNGgHRgYqKKapzyUVfRo8z2vpEcb\n883NzaWLRMvQ2dmJv/zlL3jnnXfQ29uLBx98EG+88ca0LMS5wDfffINHHnkEtra2+OKLL5gTzWxR\nXV2NXbt24fjx4wgMDMQbb7yBhx566LZ7qVtaWnDkyBEcOnQI58+fx+joKCwtLbF+/Xqkpqbinnvu\n0YqeeEIIent7RYzbpqYmxqhsbm5GS0sLWlpa0NnZqfZ3GBgYwN7eXoVdyTMs7ezsRAxLW1tbmJmZ\nafz/12ZoNGg/+uijovYc5f5L+v1Z/E6Ym5uLVPXoljKzlD30qNIeT8mVcntzj+7ubrz99tvYu3cv\nBgYG8Pjjj+P111+fUrBpLpCXl4cHH3wQdXV12Lt3L3bt2nVbwYAQgmPHjuE3v/kNCgsLER0djTff\nfBMbN268o+DS39+Ps2fP4tixYzh+/DhT9vPx8cHatWuxevVqrFmzBv7+/lodxEZHR9He3o7W1lY2\nKMOSsiopy5LuT9dXbWhoyO5LXgVTnf/lVIxLCwsLrSUp3SnmLWgLgmAC4EUAE4SQP6r5+YzSIwqF\nQkVFjzbc8w35ynZKvLKeMjvrVqwsc3NzprHAzwjobIHOHHjlPWmWPzO0t7fjj3/8I/7+97+DEIJd\nu3bhlVdegb29/bz8va6uLvzgBz/AsWPHcP/99+N//ud/4OLiclu/a2JiAp9++ileffVVVFdXIyoq\nCr/61a+wffv2O1bRI4SgrKwMZ86cwZkzZ3D58mV0dHQAmFTxW7VqFVatWoXExERER0fD1NT0jv6e\nJkEIQX9/P/O4pJ6XvN8lz7Kk+3QoqxxOBX4Cp87QWNnYWNnkWB0D09TUVCOyAzzmdaYtCEIqgFWE\nkN+r+ZlGctqEEAwMDKiYoCpfMPQi4rUXppshmJqaMtlUKp3q4uLCCjh0ODs7SzKZmFTae+211/Dh\nhx/CwsICv/rVr/DCCy/MSzBSKBR4++238corr8DCwgLvvvsuHn744dv+faOjo9i/fz/eeustyGQy\n+Pr6YteuXXjqqafmjPSiUCggk8lw6dIlXLlyBenp6ZDL5QAm0w7h4eFYsWIFYmNjER0djYiICJ0O\n5LPB2NgY+vr6WBBXnpxNNYHjJZP5yd9siTHGxsZqjY6Vv6dMoefp8+oMkZVNkfl9IyMjNimc76B9\nN4C12hS07wQ0z9fe3i6SS6VCO62traJcX2trq4rpKa3Su7u7w9PTE15eXvD09BS1X9nZ2S2ZWXtR\nURFeeeUVfP311/D29sabb76JHTt2zMvStqSkBE888QSysrKQlpaGv/71r7PuCuGhUCjw9ddf47/+\n679w9epVmJiYYMeOHfjJT34yL0Sj5uZmpKenIysrC5mZmcjKymISvfr6+ggODkZkZCQiIyOxfPly\nhIWFwcvLa8lcS7cDQghGRkbUmhur21c2OqbpXJ55qfw1ZVbeKYyMjGBiYoLe3t47D9qCIPwGgLLi\n+2EA3ZgmaO/Zs4d9vXbtWqxdu3aGp68bGB8fR1tbGxobG1kxh1bmqYxqXV2dynLPwsICfn5+rKeW\nEiQCAwPh6em5KHN158+fx4svvojc3FxERkbiT3/6E9avXz/nf2d8fBx//vOf8fvfT16Su3fvxi9/\n+cs7dn/Jz8/Hu+++i48//hgDAwMIDg7Gk08+iR/84Adwd3efi1NXASEE1dXVyM3NRU5ODnJzc1FQ\nUMB0TIDJayk0NJQxJkNCQhAcHAw/Pz+JbLOAUCgUzB2Ld8TinbJ4+jxPpy8uLkZ5eTnzo7xx44Y0\n09YkCCHo7OxEbW0tE7Tne2rlcrlI1N7ExATBwcHsBqS62IGBgTpfQFUoFPj888+xe/duyOVybNq0\nCX/6058QFhY253+rtrYWL774Ir788kv4+PjgP//zP++oK4Sit7cXX3zxBfbt24crV65AEASsWbMG\njzzyCLZt2wYnJ6c5+g+mRk9PDwoKClBUVISioiIUFhZCJpMx8S9gcmbu7e3NWJP+/v5s+Pr6LplU\niy5ivtMjawHcLQXt24dCoUBjYyOzmqKMN5lMhqqqKpZ+MTQ0REhICFseR0VFITo6es4cUxYSIyMj\n+Pvf/4433ngDvb29rNNkPtiV586dwwsvvID8/HzExMTgzTffxIYNG+YkpVBRUYH9+/fjwIEDKCkp\ngZ6eHtasWYO0tDSkpaXNa+eMOvT09LDrh9dXr6ysVNHKdnFxUcucpOk8iWSjOcxn94g+gH8DEAXg\nWUJIt9LPpaB9hxgaGoJMJmMzqoKCAuTl5YmEhTw9PRETE4P4+Hgm9Wltba3Bs545Ojo68Mc//hF/\n+9vfoFAo8K//+q/YvXv3nDu/TExMYP/+/dizZw+qq6sRHx+P1157Dffee++cBG9CCAoLC3HgwAEc\nPnwYRUVFAIDly5dj06ZN2LRpExITEzW2UiKEoL29HZWVlaisrERVVRVb6dXU1KC2tlalWGdrWyb/\nhgAAIABJREFUaytiTrq7u8PNzY1tXV1d4ejouChTeZqGxIhchOjs7GR5zps3b+LmzZsoKysDMPmB\nL1u2jLWQJSUlITAwUKuLVfX19fjd736Hffv2wdzcHC+++CJeeOGFOX/4jI6O4sMPP8Sbb76J6upq\nREdH46WXXsJDDz00pwG1vLwchw8fxrFjx3D16lWMj4/DysoKycnJjGATFBSkNZ/J+Pg4GhsbRaxJ\nnjlZV1eH1tZWldcZGBiodFJNxaK0tbWVAvwMIQXtJYKuri5kZmbixo0buH79OtLT01nngbOzM9as\nWYO7774bycnJWLZsmdYEDB4lJSXYvXs3vvrqK9ja2uLll1/G888/P+dL9bGxMXz00Ud46623UFpa\nCg8PD/zsZz/DM888Axsbmzn9Wz09PTh79ixOnDiB06dPsyKiu7s77r77bqxduxZr1qzRqiCuDqOj\no2hubmZ+lJRJ2dTUhJaWFsakbGtrU9tip6+vL+I+0C3PpFT2rLSyslqSgV4K2ksUCoUCpaWluHLl\nCi5evIiLFy+ytIqrqytSUlJwzz33YP369XB1ddXw2Ypx8+ZNvPbaazh+/DgcHR3x61//Gs8+++yc\na0krFAocP34cf/7zn3HhwgWYmppi586d+OlPf4rY2Ng5/VvAZJpCLpfj9OnTuHDhAi5evMiEnezt\n7dnKKDExEbGxsTqpna1QKNDR0cHaYmm7LN2ng2dPThUn9PT0YGNjw2jwUxkOT8WsvNOOIU1BCtoS\nAHzvnnLu3DmcOXMG586dQ1tbGwAgMjISGzZswH333YdVq1ZpTZdKeno6Xn31VZw9exYODg544YUX\nsGvXrnnJ2efk5ODdd9/F/v37MTQ0hNjYWDz99NPYsWMHbG1t5/zvAZOfSXl5OS5dusQs4GiaS19f\nHxEREYiPj0dcXBzi4uIQFha26Nr4JiYm0N3dLaLCUwYlz6SkW37cijRjZGSklhJPpS94Wjzdp1pH\nyobEC+neJAVtCWqhUCiQn5+PkydP4uTJk7hy5QrGxsZgY2ODDRs24P7778d9992nFUXNa9eu4Q9/\n+AO+/fZbWFtb47nnnsPPf/7zeemc6e7uxkcffYQPPvgAeXl5MDY2RlpaGh5//HGsX79+3oNmW1sb\nMjIycP36dVy/fh1ZWVno7p6s8RsZGSE8PBxRUVGIiorC8uXLERERMW8PFW0Gz3ymgzKg6T6VtaBb\nuk8Zlj09PTP2nqRGxDOhxs/EpJg3KzYzMxOxqDUatE+dOiUSe7GysoKFhYVW5+6WKvr6+nD69Gkc\nPXoUx48fR0tLCwwMDLB27Vo88MAD2Lp167yRSGaK7Oxs/Md//Ae+/PJLGBsb48knn8QLL7yAoCBl\n3tfcICcnB/v27cMnn3yCjo4O2NnZ4aGHHsKjjz6K1atXL4hGBU2p0IJzTk4OcnJy0N7ezo7x9PRE\nREQE6+kPDw9HcHCw1LZ3C1C25Exp8bwOkrJOEj9uhx1pYGDAAnhLS4vmgra67+vp6cHS0nJKNT5e\nlU952NnZSUF/AaBQKHD9+nUcOXIEX3/9NWQyGQAgMTER27Ztw/bt2xe8B5lHSUkJ9u7di48++gij\no6PYsmULXnzxRaxZs2Zero3R0VGcPHkSn376KY4cOYLBwUE4OjoiLS0N27ZtQ3Jy8oKmLQghaGxs\nRH5+PmsDpQSb0dFRdpynpyeWLVsmsicLCgpatKxbbcH4+LhIyVSZFk/3p/r6/fff11zQvnz5stol\nibrBL2umU+kzMDBgynzKg1ajaXXa0dERTk5OsLS0lAL9HUAmk+HLL7/El19+iZycHADAypUr8fDD\nD2P79u3w9PTUyHm1tLTg3XffxX//93+jo6MD0dHReO6557Bjx455Y/wNDAzgxIkT+OKLL3D06FH0\n9/fD0tISGzduxP33349NmzbNm6LhrTA+Po6KigoUFRVBJpOhpKQEJSUlKCsrQ39/PzvO2NgY/v7+\nCAwMFDEl/fz84O3tvejy5roGnctpKxQK9Pf3ixT5+EIEVeTjlfloJXqqZYmxsTHrF51Kqc/FxQVu\nbm63ZV+1lCCXy/H555/jwIEDyM3NBQDcddddePTRR7F9+/bbcpG5UwwNDWH//v3461//isLCQtja\n2uLJJ5/Es88+i+Dg4Hn7u8PDwzhz5gyOHDmCo0ePorm5GYIgICEhAZs2bcLGjRsRGxurcalPQgia\nmppQVlaG0tJSZlFWUVEBuVwu0rQXBAHu7u7w9fUVMSV5tuRMnewl3B50LmjfLmhhQlmhjwq2U5U+\n2orU0tIicrmmsLCwYCp9dHh4eIi89ZycnKTlJSZJJJ9//jk+++wzFBYWQk9PD6mpqdi5cyfS0tIW\n/AFICMGlS5fw3nvv4dChQxgbG0NycjKeeeYZbN26dV5bwBQKBbKysvDtt9/i22+/RUZGBgghsLGx\nwbp165CSkoLk5GSEhIRo1aqPBvTKykqmiUNHTU0N6uvrVVa+9vb2onuC3iM8c9LKykqr/k9dwpIJ\n2rMFIQRdXV1obm5Gc3OziDDAK/Y1NjaK8oTAZBWfyq7SWYiPjw98fHzg5+cHd3d3jc+uFhqFhYX4\n9NNPsX//ftTU1MDExARbtmzBzp07sWnTpgVfcre0tGDfvn14//33UVVVBRsbGzz22GN46qmnEBsb\nO+8Bpa2tjbVXnj59GjU1NQAmNT8ooWb16tUIDQ3V6gnA2NgYGhoaGEuSZ0vW1dWhvr6emTnwMDMz\ng6urq2jQlS0ddOWrLS2m2gIpaN8hqG4DvUB5mm9NTQ1qamrQ1NQkIggYGhrC29ub5Qqp9GpQUBB8\nfX0Xdc5QoVDg2rVr+Oyzz3DgwAG0t7fD1tYWDz/8MB5//HEkJSUt6AxMoVDg3Llz2LdvHw4dOoTh\n4WGEhITgiSeewM6dO+9Ib3umIISgsrISFy5cwPnz53H+/HmmyGdnZ8ccaxITE7FixQqd6/oYHh4W\nTXLopIdOhChbsre3V+3r7ezsROlLWo+ig69V2dvb6yxpZqaQgvYCYGRkBPX19SIhHrlcjsrKSlRU\nVKCnp4cdSyUzaUWfSrCGhobqpGLfdBgbG8OZM2ewf/9+fPXVVxgcHISvry927NiBnTt3zrv5rzK6\nu7tx8OBBfPTRR7h8+TIAYPXq1SwfvxCyqsD3bXyXL1/GlStXcOXKFZSWlgKYvD7Cw8OZANiKFSsQ\nGhq6KNyQBgcH0dLSwqjv/FBmTk5lJgxM2owpU955E2HeTJhubWxsdEaOVgraGgbV06bSq2VlZUyC\ntaysTGSQYG9vj9DQUISHhyM8PBxhYWGIiIiYM4srTaK/vx+HDh3C/v37cebMGSgUCkRFRWHnzp3Y\nsWPHgveAV1VVYf/+/fj0009RXFwMfX19rF27Ftu3b8fWrVsXvKDa2dnJNGMyMjKQkZHBSDUmJiaI\niopi1mPR0dEICwtbUJbeQmN8fBydnZ2M8k7rVMoGwnxDQnd397SdZ8bGxirUd2UavDKDkt+3tLRc\nkIenFLS1GAqFAvX19aw1q7i4GMXFxSgsLBTNzj08PJiGNh3+/v5anQudDi0tLThw4AD279+PjIwM\nCIKAdevW4bHHHsODDz4456JNt0JhYSE+++wzHDx4EGVlZRAEAatXr0ZaWhoeeOAB+Pn5Lej5AN9T\n3LOysnDz5k1kZWUhOzubte4ZGBiI9NUjIyMREREBd3f3JVsAVCgU6O3tFRkKK1Pf1RkK03ZjdY0J\nyjAzM1NLf5+KCs+bDdN9nkmp7iEgBW0dBCVPFBQUID8/H/n5+cjLy0NJSQnTW7CwsGCzr5iYGKxY\nsQLBwcE6F8jLysrwySef4OOPP0ZlZSWMjIxw77334rHHHsPmzZsXdElLCEFRUREOHjyIr776CgUF\nBQCAiIgIbN68GZs3b0ZCQoLGiswKhQJyuZxZj9Hroq6ujh1jbW2N8PBwZkG2bNkyLFu2DB4eHjp3\nbSwkCCEYHh4W8UZ46jtvLEzNhacyGuadqG4FY2NjFVp8ZmamFLQXC6ifHK+lnZuby/psLS0tERsb\ni/j4eKxcuRIJCQlwc3PT8FnPDIQQZGZm4pNPPsGBAwfQ3NwMCwsLpKWlYceOHUhNTV3wLgO5XI4j\nR47g8OHDuHr1KiYmJmBvb4+NGzdi48aNWL9+/YLlwadDV1cXCgsLRaO4uFhEdTczM0NQUBBCQkIY\nMzIoKAiBgYELvrJZ7BgfH2d09/7+fpV9So+nNHhlKvy3334rBe3FjPHxcchkMubgnZGRgby8PLbU\n8/DwQGJiIutQiI6O1vrulYmJCVy8eBGffPIJDh06hK6uLtjZ2WHr1q14+OGHkZycvOABvKurC6dO\nncLRo0dx8uRJppAYExODe+65B6mpqbjrrru0qrOhra0NxcXFzL5OJpOhtLQUNTU1otyvg4MD63Ci\nhtPUS9LFxUWaoS8wpPTIEsTw8DByc3NFhgi0T9jExAQJCQlISkrC6tWrsWrVKlhZWWn4jKcG1f04\ncOAAvv76a/T19cHe3h5bt27FQw89pJEArlAokJ2dzRQS09PTMT4+DhMTEyQmJiI5ORnJycmIj4/X\nygfkyMgI5HK5iB1ZXl6OyspK1NXVidpXjY2N4ePjA19fX8ZFoOxIb29vuLi4LDlOwnxDCtoSAACN\njY24du0arl27hitXriA7OxsTExPQ09NDdHQ0c7ZZvXq11narDA8P4+TJk/j888/x9ddfo7+/H3Z2\ndnjggQewbds2pKSkaGSm29/fj0uXLuH06dM4f/488vLyAACmpqZITEzEmjVrsGbNGsTHx2u9scHI\nyAhqampEXpJVVVWorq5GdXW1CpHGwMAA7u7ujGzGM4cpo9jZ2VkK7LOARoO2g4ODWqU+dYPvuZQ+\n4PlHf38/bty4gYsXL+LSpUu4ceMGhoeHIQgCIiMjsXbtWiQnJ+Puu+/Wypzn0NAQTp48iYMHD+Lo\n0aPo7e2FhYUF7rvvPmzduhWbNm3S2Aqio6ODuQVdvHgR+fn5IITAwMAAUVFRSEpKYukqDw8Pner2\n6OvrY2bAlGBWV1fHRkNDgwqDWF9fHy4uLnB3d4erqyszBlZmSzo5OS2KfvQ7hUaD9r/8y7+oiD51\ndnZO208pCAJsbGxELChetY9X76NDm/KIuoqRkRFkZGTg4sWLuHDhAq5evcqCOM3bpqSkICkpSesE\ng0ZHR3Hu3DkcOnQIR44cQWtrKwwNDZGcnIy0tDRs2bIFHh4eGju/7u5u5kxz9epV9oAEADc3N6xc\nuRLx8fGIj49HbGysVqerbgWFQoH29nbGHlaWhKBfU/9SHoIgwMHBQcUcmDcIpoxJJycnrbsO5wrz\nErQFQUgBsAeAO4BdhJATao6ZMj1C+ynVKfbxzfPKjfXKT3AKKysrpt7HaxvQr+mTXXqSzxwjIyO4\nceMGzp07h3PnzuH69esYGxuDkZEREhMTcc899+Cee+5BXFycVr2nExMTSE9Px5EjR3DkyBGUl5cD\nAKKiorBlyxZs3rwZcXFxGi2ujY6OIj8/n9Ubbty4gcrKSgCTN2xwcDBiY2MRFxeHmJgYREVF6XQg\nV4fh4WGm+0Op7nQosyV5AhoPMzMzFZNg+rU66WZ7e3udYEXOV9B+kBBySBCEdQDeIYSEqzlmTnPa\nhBD09fUx1T6e9trS0qKi4KeOBisIApydnZkSmZubmyj3RvNxkjyrKvr7+3HlyhWcPXsWZ8+eZbra\n1tbWSE5Oxvr167F+/Xr4+/tr+Ey/ByEEMpkMR48exTfffIOrV69CoVDA0dERGzduxL333ovU1FSN\n6V/z6OjoQFZWFjIyMhiZpqGhgf3c39+fWYzRraenp06lVm4XAwMD7B7nzYF5k2B+gtfX1zfl7zIx\nMRFR3tWZrfCDZ0wu1Ip+XtMjgiBYAfiSEJKq5mcaLUSOjIwwnQP6JKfLM17Qhu9lpbC2tmZFFS8v\nLzaoop+bm9uSz7u3t7czFbtTp06x7hRfX1+sX78eqampWLdunVb5F3Z0dODUqVM4duwYTpw4gY6O\nDujp6WHFihXYsGED1q9fj/j4eK1RnWtubmb2YtnZ2cjNzWUzcuB7Ik1ERITIbszBwUGDZ615jIyM\niFbuypT3qUyDp5rRUxgbG4sc35Wp78oGwnTLmwibm5vfcpV3x0FbEITfAFA24TtMCDkiCMKjAFoJ\nIefUvI7s2bOHfb127VqsXbt22pPVBIaHh9HY2Ij6+nqWh6OKfrTYolwxNzQ0hJeXF2uF8vX1hZ+f\nH+txtbOzWxIzIApCCCoqKnDq1CmcOnUK58+fR19fH/T09BAfH89m4QkJCVqTSpmYmEBmZiZOnDiB\nkydPIiMjAwqFApaWlkhOTkZqaipSUlK0Tv+6r6+PWYwVFBSwwcseODs7MyYkHSEhIUua4j4TjI6O\noquri1HceSMWnu7Omwjz7lu3CvrAZEDmKe6WlpbMnszIyAjGxsbIysqan5m2IAj2AB4ghPy/KX6+\naFr+BgYGWACnrU/V1dWsFaqlpUV0vLW1tUiSlcqyBgYGwtHRcdHfOGNjY7hx4wZOnz6NkydPIjMz\nEwqFAlZWVkhJScGGDRuQmpqqEU2PqdDZ2Ylz587h9OnTOH36NKqqqgAArq6uWLduHeu99vX11brP\njxCChoYGFBUVobCwEEVFRUzPhg/m5ubmIq9Iek0GBgZq1YpIVzE2NiaiuKtzgac/42nvvb29jDXZ\n19eH9vb2eclpmwPYRgj5UBAEAwBWhJBOpWMWTdC+FQYGBlBdXY3KykrmAFJRUYGKigpUVVUxvRBg\nMqAHBQWpSLMGBgYuWtU2GhApGYVqZQQEBLBZeHJyslYV26qqqlj+/ty5c2htbQUwaZbLmxgEBQVp\nXRCnoK40lAlJt+Xl5aiurhZ1cNnZ2SEgIEDkGUlZkW5ubhIrcgEx5zltQRCMAJwEYAVA8d02hhAy\noHTckgna02FsbAw1NTVMlpX69JWVlYmEfvT09ODn58eEfsLCwpjgjy5UvGcKQghKS0tx+vRplkoZ\nGBiAvr4+EhMTWRCPi4vTmroBIQQlJSXMxODSpUssiDs5OeGuu+5CUlIS7rrrLkRHR2tNTnw6jIyM\noLKyknlF0m1lZSVqa2tFAd3Y2Ji5M1FmJO/YJFHd5xYSI1KLMTAwgLKyMpFzdklJCUpLSzE+Pg5g\nMpj7+/szjW1adAoICNCa/PCdYHR0FOnp6SwffvPmTZG3YmpqKlJTU7WuK6WsrAyXLl3CpUuXcPXq\nVZZOMTU1RVxcHCPPJCQkwMXFRcNnPDuMjo6ipqZGZOhBU4FVVVVqazweHh6sYO/p6cmK+LQ7a6nV\nee4EUtDWQYyNjaGiooLlJ6lyW3l5OZsBmZiYICwsDMuXLxe1gVlbW2v47O8M7e3tOHPmDPNWrK2t\nBTDZlUJ7w9etW6d1HRKNjY24evUqrl27hvT0dGRnZzPRLm9vbyQkJCA+Ph4rVqxATEyMzlmK8ejv\n72dWe9XV1airq2MsScqK5FOCwOTDTLnFlrbd8gzJxUqYmQ2koL2IMDQ0hJKSEqaznZeXh7y8PFHb\nop+fH3M3iY6ORkxMjM7N9CioEQAtDl64cIEV1qKiopCSkoJ169ZhzZo1WhcEh4aGkJOTg+vXrzPh\nLvoA0tPTw7JlyxiBJjY2FsuXL9d6XZKZYmJiAs3NzawLi46Ghga2bWxsxMjIiMprrays1JoAq2NI\naqMY11xACtqLHLTYlJeXx3p6c3NzUVFRwY5xdXVFbGwsCxJxcXE6GcjHx8dx8+ZNNhO/du0aRkdH\nYWBggPj4eKxbtw7r1q1DYmKiVkobtLa2MvlcSqChnUeUCUkZkHTlpA163fMBQgi6uroYb6KpqUnF\nCJjyLKhbjzJsbW3V0tt5Q2C6tbe315lCvxS0lyh6e3uRm5uL7Oxs3Lx5Ezdv3oRMJmOym+7u7lix\nYgUbcXFxOtf2NTQ0hKtXr+Ls2bM4f/48ay00NjZGYmIi4wYkJCRoZRCnDkU3b95kBJqcnBxRgdrF\nxQXLly9ndmIREREICQnRyv9nvkAZkc3NzSosaGVD4I6ODkwVdywtLVkAV2cMrGwSbGtrC2tr6wUv\nsmo0aIeHh7M3gH+z1A0rKyupUDHP6O/vR25uLjNMyMzMZNocABAUFMSEi+Lj4xEVFaUzsxNg8kF1\n+fJlnDt3DhcuXEBOTg4IITA2NkZCQgLuvvturFmzBomJiVqdiujo6EBeXh6zFMvPz0dRURHT3tHX\n10dgYCBjQNIRGBi4aFMGM8XExAQzBFZHcedNgdvb29HZ2SnqZVcGFbDjnd2Vae7KdHfKlrSxsbmt\n+0ejQTstLU0kBtXe3s66IpRhZGTEljP8UocffE5rKc005hNdXV24efMmMjIykJmZiRs3bqCpqQnA\n5GcSFRWFlStXsuHj46MzD9euri5cuXKFSaRmZ2dDoVDAwMAAMTExWL16NVavXo2kpCStK2wqY2xs\nDGVlZawoXVBQgKKiIlRWVrKZpb6+Pvz9/UUsyJCQEAQHB2ulvK62YGxsDF1dXSKKO28OPJVBcFdX\n15TxjEKZ+q7O6V153HvvvdqTHiGEMLdkXr2PbvnR2tqK1tbWKfNZ1tbWKqp+tIDBa/ba29vrTJDR\nFjQ0NODGjRusgJaVlcUouk5OTiyAJyYmIi4uTuuKgFOht7cX6enprFUvIyODzV6XLVuGVatWISkp\nCUlJSQgMDNSJ62ZoaIi1jBYXF7NtZWWlyF3c0dFRhQUZGBiIgIAArV51aDMIIRgcHBTR23mKO09z\n5/cpQ5KyJKf43doRtG8HQ0NDaGtrU5FrpBKOvKRjb2+vyuuNjIzg6urKWozc3d1Z2xF12HBzc9Op\nNMBCY3x8HIWFhSIp0dLSUgCTnRCRkZFITExkXpR+fn46EfCGh4eRlZWFy5cvs3Y9qvPs4ODAHkyJ\niYlYsWKFzjycgMnPrKqqirEgKaGrtLRURXbB1dV1So9IBwcHnfgsdRUKhUJEZ+/p6cGqVat0O2jP\nBgMDA6zyTKvRysp+DQ0NamfvTk5OIlIAr+zn5eUFJycnifXFoaOjQ+RBef36dfa+Ojo6sgC+atUq\nxMXF6QSrU6FQQCaT4erVq0hPT0d6ejpkMhmAyYdTeHg4EhISWM91aGio1rA2Z4Pe3l4VFmR5eTnk\ncjkaGxtFx1pYWDBRNOoRyXtF2traSkF9jiF1j6hBb28v6xelvaS8ZVJtba1KYDc2NmZBnF609EKm\nrtVL+eKdmJhAUVERC3bXrl1jRU4DAwNER0czluCqVavg6emp4TOeGTo7O9nDiaaMuru7AUwKMMXG\nxrLumxUrVujMKmMqDA4OMiYkv6VD+b6wtLQUTXKUGZHu7u7SKnaWkIL2bYAQgp6eHuaBR7eUAVZT\nU6OyxDQxMWESrf7+/irLzKVYOG1ra8P169eZoXBmZiaGhoYAAB4eHqLZeFRUlE50PigUClRUVCAj\nI4ON3NxcRhSxsbFBTEwM64uPiYmBv7//olilEULQ2dnJ7gF6P/B+kcoUd2ByFcub/dItTVe6ubnB\n2tpapx92cwkpaM8TBgcHRRKtvEZDZWWlaEYiCAI8PT0REBDAij+0EOTv779kZiJjY2PIy8tjVO9r\n164xlqCJiQni4uJYDjkxMVFnCEBjY2MoLCxEVlYWI80UFBSwIqelpSWioqIQHR3NiDOhoaGL8nMf\nHBwUrVr5VSxNT6pzlaI096lMf2mDgb29/aJ4AE4HKWhrAIQQtLW1ManWyspKJtVaXl4umo0IggAf\nHx+RXCuVbHVzc1v0s4+GhgYWxKlmBw12vr6+omLg8uXLdUJBD5gUXSoqKmKEmezsbOTn52NgYFIM\n08DAACEhIYw4Q8kzS+EzHxwcVHGQojWohoYGxopU11mhr68PR0dHRm3nW4HpPs+K1MUHoxS0tRBd\nXV0oLy8XybXSwc/QLSwsWK8t70Li7++vM8FrthgZGUF2djabiaenp7PiGD8bX7lyJRISEuDu7q7h\nM545FAoFKisrkZOTw3Rj8vLyUF9fz46xs7Njio7h4eGMOKMNPpYLjf7+flF3GKW28wbAlA2pTscE\nmNQyoQFcHb1dmfSnCQakMqSgrUOgtGYqWF9SUgKZTAaZTCa6sQ0NDREUFMS0t6n+dlBQ0KIL5oQQ\n1NXVsQ6V9PR05OTksNm4h4cHC+AJCQmIjY3VOaW4zs5ORpjJz89n6o7KFmL8500f4M7Ozot+Zn4r\nUP4H5XZQSvtUo729nV0/ytDT0xPR2pWp7bwhMM+QtLa2nrNOIiloLxL09fWJSBR0yOVyxoijwZzq\nbtPZmq+vr8ZnD3OJkZER5OTksG6O9PR0VFdXA5hcPkdERLC2vISEBISEhOhcax4hBPX19SgqKkJR\nURGKi4uZjRjPR7C2thYxH+nw9/dfksXvmYAQgv7+fqZVoo7irs4MmKa21EEQBFhbW4uo7Ty9ne5P\nZQxsaWnJ7lEpaC9yUEYcvbkpzZkGMWCyNS0sLAwREREsdxoZGbmoltwtLS3IyMhggTwzM5PNVC0s\nLFhrHh26RMfnQVdjxcXFbBVGjTP4HmtBEODt7a3CgAwMDIS3t7dOdOpoG0ZGRhjdndLYp6K48+bA\n3d3dtzT9pYa/NjY2qK2t1VzQVigUOnljLAb09fWJgjhdevPa225uboiMjGTFsKioKAQFBS0KRxyF\nQoGysjKmqZKZmSlKq9jZ2TGZWjo8PDx0+nrt6+tjrEdaL6H7/OxcT08P3t7eIi9IPz8/NnTdSEMb\nMTo6ip6eHubsTrfqXN0//PBDzQVtQ0NDUZKfT/7TogAvDmVvb78oAoa2ghCClpYWphxHR3FxMdOp\n4B1xaHtaZGTkoriRR0dHUVhYiMzMTKZ0WFhYyFxWHB0dWY91TEwMYmJidHZGzoN2M9HuJdrNRDub\nlHurbW1t4efnx4hjdFBfSEmrZH6h0fTIr3/9a3R0dIikEdva2tDZ2alW81YQBNjZ2amCBqd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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "None" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# an interactive version where you can change source strength\n", "# this will not work on nbviewer. You can view it locally if\n", "# you've installed Jupyter notebook or upload to http://try.jupyter.org\n", "\n", "from IPython.html.widgets import interact\n", "\n", "@interact(m=(0.0, 10.0, 0.5))\n", "def strength(m):\n", " \n", " for i in range(nx):\n", " for j in range(ny):\n", " x = X[i, j]\n", " y = Y[i, j]\n", " theta = atan2(y, x)\n", "\n", " stream[i, j] = uniform(Uinf, y) + source(m, theta)\n", "\n", " plt.figure()\n", " plt.contour(X, Y, stream, 30, colors='k')\n", " plt.show()\n", " " ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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G5avZZKcBDAYDysrKkJ+fz50znYs3k52dHaKjo7lzpokYERExYakYcsoEVoqA\nJX3+cl6ptbU1v+lFGpK8Q/xU6T94N1pfXx9nihBFU65HX1lZaaQcJ9Y9KN1jE5nP1ev1KC8vR0FB\nAQ9uCgoKkJ+fL6lM1Gg0iIiIQExMjGRERUVNelFOb28vz/uXlZUZkQLkjUo0Gg1fQEXMSaxqtrOz\nm1ynrVarjTi+Li4uivq5BKBN1jZJbn19fSguLuYOOS8vD/n5+SgoKJA4Oi8vLz6RKDqIjo5GQEDA\nhCDUjDFUV1fz7agcuJSX9Xt6ehpVkIqTxtwBy+GYmKseKhBpzqyC4RoVtIlBk1jlV1FRIbk/LS0t\nERwcLEkrUqpuIgHGlpYW7szF4KikpIR/hyqVCiEhIZg5cya//+jcXJordHV1KaoV0qipqTEqsHJz\nc0Nzc/PkOe2XXnrJqGDGnCoYgTsfLK3wooMuLi6W5BqDg4ONJkdMTMyEVWy1t7fzXPjNmzf5VrOo\nqEiiBaHRaIxSRzRCQkLg4OAwIdc7mPX19UmASbGRrZgPFruYy1kkog6JWLVI7JHBdL1NGVVVigCn\nvFONqPdNeXdijVClp6OjoxH46OrqajaMEp1Ox4F8ObhYUlIiidQtLCwQEhLCU3niDtLPz29C3k9v\nby+KiookQRQFUmKqxc/PT/FeNbdinL6+PlRXV/NaChrvvvuueee0J8oaGxuN0hn5+fmSfLNarUZ4\neLjRlx0VFTVhzq6+vp5PSHFiVldXS64zNDQUUVFREoSeKEsTnTs2GAxobm6WgJN1dXUS6dDGxkYJ\nk0SpVZPcNBqNIiApNkcQnam8IYJI4RsOe0SpfJ1K18VBACSBj7SwDGaWlpYSxoi8TF2pY/pktM8j\nyizt4ihIKCgokOzgHB0defqP7puZM2dixowZEzIX9Xo9SktL+T0j3jfidbq6ukp2xDSCg4PNCm8x\neyByLE2n06GsrEySJyNHLYrY2NraIjIyUuKYY2JiEBERMWE3R3NzM3Jzc5GTk4OcnBzk5uYiNzdX\nwh+nm0FMv0RHR2PGjBkTdp0dHR2KAKVY8l5XV6fIgBBL3UVQksrbxRJ3osQRk8TBwcFs+3wOZHq9\nHl1dXRKdEdpByEvViRJJ9MiBStTd3d0l5enydnyBgYETFkkyxlBTUyMB28lJimXoNjY2iI6ORmxs\nLGJjYxEXF4e4uDgEBwdPWOqwsrJSEqSRPxAL6KytrREZGWkEhEZGRk7KzvSuc9pEMZKj0QUFBSgu\nLpZQzjyoIlx4AAAgAElEQVQ9PSV5ZjoPCgqasNxlT08P8vPzcePGDdy4cQPZ2dnIycmRRM5OTk58\nUs+cOZMPf3//cb8JxcpKkcVDQKUczALulEGT4yBHolTu7ubmdlfliMfbqLmBUhMDEXSkIadXUtWr\nvEWXSEkb7++jvb1dEvFSYFJRUcH/xt7eHrGxsYiPj0dCQgLi4+MRHx8PDw+Pcb020ZqbmyUsLzov\nLS2VpNX8/f0lTC86BgcHjxtoOyWdNrEe5GXmtD0TuZMajQZhYWESziexNiZSIYwxhqqqKly/fh3Z\n2dnIzs7G9evXUVhYyMEea2trzJw5k0/SuLg4xMbGIiAgYNycM32W9NmJlaFKlZVOTk4cpJQj2wEB\nAfD19TUbNbnvsxkMBknHcFHKmIAuMTAA7sw/KhwRC8zICY1niqC9vR15eXk8eMnJycGNGzckO0tf\nX18kJCQgISEBiYmJSEhIQHR09ITSFHt7e1FcXMzZLOKQc85nzJjB05NiXcVoayrM1mn39/ejoqLC\nSO2LHIpSlRWBIPQhRUVFTUo+qre3F/n5+cjKysL169f5EDUcgoOD+eQjJx0RETFuq3N/fz9KSkqM\nOOKFhYWSyaZWqyWVlXQ0F0qlaIwx9PX18WIVyhkTICnml+VgpFjZOBz2iNj8gCRfqekBDbHQRyxb\nJ7qWuVhPTw8vSZcDjcXFxRJ9Girsoh1pVFQUTx86OjqOy/VRRXB2djbfhWZnZyMvL4/LGGs0Gsyc\nOROJiYmYNWsWEhMTkZiYOOGSrSLnnHjmYiAkYhlUvUwLo/w+GyzlMqlOWy4kLhbOyOlGpqoZJ5pu\nJLfGxkaJc87KykJ+fj7P4dra2iI+Pp5PJnLS40U70uv1KC4uluTBc3NzUVhYKNkuy7d1tNhNRimx\nVquVaG/LS9zF0vbW1lZe1t7e3j4mjRDIKQ8GRI7WqMs8VXeK5erU3ICGCDxS382JdPjkMAlkpApd\nckgiRhEQEICZM2dKctOxsbHjlu/t7+9HQUEB363SENuFBQYGSu65WbNmISwsbFLScUS7FYWsaGG8\ndeuWUS2Kh4eHRDtfrhfk6Og4eU5b/jM/Pz/FopmwsDD4+/tPKoJLzlB0zllZWZItpr+/v2SSJCYm\nIjw8fNyuu6mpiadbrl+/jhs3biA3N5dXKKpUKoSGhiI2NlaC2kdFRY07tZIiDyrmoF6D8g7vA3V1\nB6Sl7UqAJIGSFMnKWSQig0Sk6FHETM56KEZNEHQ6HacOUtm6WLre09PDo32lsnVTJestLS0mFwcr\nKyve2EDECeTA40Q02u3v78etW7ckFNjc3Fzk5+dL5t6MGTN4XprSGTNmzBg3x0lRuRhE5efn88/U\n3t4eCQkJkog8Pj5+UgTfyEgGgqoo5cqct2/fVmy6PGlO+x//+IekgMNc9LPb2tqQk5MjWcVv3LjB\ntzhqtRoxMTGYNWsWnwCzZs0aN6CEMYbbt28jMzMT165d4wtGZWUl/xsvLy+e76N8eExMzLhNSBLj\nEicXDeKTKpW3E8uBhlKJOzFKXFxczEIQaaKMMYaOjg6jxgak2yKCj7TwKWmeU6NdeYEaBUHjVXFL\n1DrKR1NKo6ioiKeeHBwc+P0ya9YszJkzB7GxseO2U+7p6UFubq7RbphwL5VKhYiICElUnpCQgMDA\nQLNIZZGap5iRePHFF8fHaatUKkcAHwGYDeAgY+w52e8nnadN0TPlymiUlZXxv3F1dTXaZs2cOXPc\nJhljDLdu3cLVq1f5yMzM5ICghYUFoqOjMXv2bL5gJCQkwNvbe8yvpb+/H6WlpUYgJQnOiw5DpVLB\n19eXt36jQWXu1CVlKtL0zNUMBgOampok5elEvxRlIeQ0QW9vb0maUQTLxiNt193djby8PMkONSsr\ni++wrKysEBcXh7lz5/KRkJAwrvdYWVmZJCi7fv06bt26xf/G2dlZskNISEgY15TPcGzcctoqlWol\ngLMAGIBrAB5jjF0Vfj9hTpuYG8R5JnQ6Ly+PR4MWFhaIjIzkXxI56fGk1dF1Xb58GZcvX8aVK1dw\n5coV7qCtrKwQHx+PuXPnYs6cOZgzZw7i4+PHXFOhs7MT+fn5fItLIGVJSYlku+7s7CwBTyiFFRIS\nMm6dp8fKCLQUgUgaYv9HuVG+m4BISq0QCGltbW3WtEWDwYD6+nojJUxafMXdGnDHoYsUWMpVj3Wn\nF4PBgJKSEly7dg2ZmZk8QJHP/eTkZCQlJSE5ORmxsbHjuvNqb2/nOwRxhy2m72bMmIG4uDi+m42L\ni0NkZOSEBiMTAkSqVKodAJ5njFUJPxtzpy2S5XNzc3muLS8vT5Ls9/X15R86gYQxMTHjnp5pbW3F\n5cuXcfHiRVy+fBmXLl3i4ImlpSXi4uKQnJyMuXPnIikpCXFxcWPqCPv7+3Hz5k2OxtMiJlZ9WllZ\n8UICOUg50e3Ruru7OSApdm6nXDAVplC+mJoiEItEzDEr5QXHytRqtaTxgcgakZeui3Kzol62q6sr\n3N3dJ7zLular5Q0BCGgkXrLIKnJxceEgI+WpExISxjQypwj46tWrPIC5cuUKv3dtbW0xZ84cJCcn\nIyUlBampqQgNDR3XOWkwGHD79m2+C6egT6TqWlpaIjIykmNHdByvYrxxd9r/myb5I2PsV7Kfs5df\nfpk/Tk9PR3p6+pCek7iSYmUjDZEK6OHhwRFtEdV2d3cf8fsZqvX39yM7OxsXL17ko6CggP8+KiqK\nT77k5GQkJiaOaQTd0dGB69evS/LgIlXKysoK0dHRiI+P55OMSovHM5rp6OjgwKQSKEmjqanJSGFQ\nbvb29pIKSbFbu6itbWtra9SdXV7KLjJIyIg5otSFXQQiiVJImieidra823p7e/uAmidqtRpubm4c\ndKQh4gAEOsq7dI+lkZSwvAjmxo0bEmceEhKCxMREzJ49G7Nnz8acOXPGdHdKETkFOZcvX0ZmZibf\nIXt4eCA1NRUpKSmYN28eUlJSJoSW2tPTg4KCAv65UHBYUlLCRZ7UajXCwsIkOxeqpBwOJTEjIwMZ\nGRn88R//+Mdxd9o/AfAJY6xL9vMBI22dTifp90aRQGFhIcrKyiQTPyAgQMIbJZaEl5fXiK97OEZA\noeigxYnl5eXFJ1ZqaiqSk5PHdGJ1d3fj2rVrPMVy9epVFBQU8Mnj5eUlAU0TEhIQFRU15iwDvV6P\nqqoqI3lXUYtbXFTJrK2tebWkkua2WNbu6urKI1Vz0oMYqlFVo5w1ImplywHI2tpaI1oYcGfh9fPz\nk4iuiQqNoaGhY55Ko5SenG4nzjdPT08kJSXxkZycDF9f3zG7hv7+fuTk5PB77dKlS8jPz+evHxUV\nhdTUVH7PJSYmThiNVavVSsr28/LycPPmTRQVFUnoqR4eHlwbiHaylHocjPc+rpG2SqV6AMBFxliN\nSqXyYozVC79jbW1tink2JaDLwcGBv0GxZDQqKmrcyP2mrKOjg6c5Lly4gIsXL3KNXxsbG8yZM4dP\nmnnz5iEoKGhMI4+bN2/y17106RJu3LjBt2r+/v4SQGf27Nljmo8UwUmRd6rUKQi4kyM1BUxSmbuT\nk5NZIPXmbD09Pairq+OaLgQ+krQqDfnnL3ZSIcdAhWdjed90dnYiOztbkp/Ozc3lwVVAQAAPWubN\nm4ekpKQxZbG0tbXhypUr3JFfuHCB64fY2Nhg7ty5kntyotkhOp0OpaWlvJJS5LzX1NRI/tbb29uo\n8IaYPz4+PlCr1eMGRP4UwG8ANAHQAPhvxtjHwu+NntTZ2ZlfqLxDso+Pz6Tc2P39/cjNzeUO8uLF\ni8jLy+OrekREBObNm8dHfHz8mK7qHR0duHjxIs6dO4ezZ8/i4sWLPOpycXFBSkoKH0lJSWMW0fT0\n9ODmzZt820cRg1ySVg5O0uQyNxrn98EMBgNqa2slRWoDgY5+fn6IiopCTEwMT5HFxcWNGXVV3AFS\nkFNSUgLgTuogMTERCxYs4GMsgxvGGMrLy7kDv3DhAjIzMzmTxsfHhy8iqampSEpKmjSd7Y6ODkkA\nRPIct27dQlVVlVHT5N7e3snjaf/Xf/2XpIDG1dV1zF9nOEZ0O8qdXbp0CZmZmTy36u7uLvmiU1JS\nxrxctqamBqdPn8bp06dx5swZZGdnw2AwQKVSIT4+HvPmzcP8+fMxf/58REREjDqnSeAt0bAIpBS5\ntZaWloiIiJCUME8GOGlKY5sqJElfm4ZcW5sGsUf6+/uHxR6hghxRS5ty5YOBkE5OTpLmvZOhnU2g\nI6UZRTEkUa/H29tbUhQza9YsxMTEjEkw0tDQwB3puXPncOnSJV4u7+/vj4ULF2LRokVYtGgR4uLi\nxjRn39fXh+vXr0sCsMLCQv57SqsQ1pSYmDjpjKienh5Je8XS0lK89dZb5qk9Mt7GGENFRYURUk36\nIDY2Npg9ezZ3zikpKZgxY8aY32BlZWU4efIkTp06hdOnT6OoqAjAnXZk8+bNw8KFC5GWlobU1NRR\nRwKUe798+TLfwl67dk0iSxsWFsZvWAJuw8PDxwUFNxgMaGxs5Op0YkNg6oHY0NDAGSQDVU6SWVlZ\ncYcpamuLutryqsjhAJHk6Ik6SJWQxFQRNbQHA1Lpekk328PDg+f0Kcfv7e0taeU2Hk6EyqxFsFFe\nXavRaCRc6qSkJMTHx496Xuh0Oty4cQNnz57F2bNncebMGb4jcHFxwcKFC7F48WIsXrwYc+bMGfPc\ndHNzM65cucJ3AhcvXuRpFSsrKyQkJEjy87GxsZPSMV40sxWMGkszGAy4desWZ1JkZmYiMzOTK4hZ\nWlpyPjStsuPx5VAkn5GRgZMnT+LkyZMoLy8HcKeNEEUYixYtwuzZs0f9+m1tbRJw9NKlS7wvnVjQ\nQIU68fHxY5rn7OjogKgvI+/AUVNTo6iz7eDgYFQlqaSzTYCkuWpsy7Wz5brZra2tkoa91KSXFiql\n+8PDw4PrYwcEBBi15BvLNKJOp0NRURGysrJw7do1XLt2TcKltra2xuzZs/nuc/78+QgJCRnV61Ng\nQbvNU6dOcdaVvb090tLSsGTJEqSnpyM5OXlc7tGKigqj2glKSWo0GiQkJPD7Zvbs2eNSOzGQ3XVO\nW6n66vr165y1QHzoOXPm8KKVsabbiXb79m2cOHGCD9IN9vT0xJIlS/iIjY0d1VaQJvuZM2dw5swZ\nnD17Frm5uWCMQaVSISYmht9cFCWNRdTW1tZmpGpGwKQoqwn8n54zORxqDkzVkqS5PVGNjc3ZdDod\nGhoaUFdXJ2kqIQcf5dK5tra2PN1IeBBx7cdC4pcxhtLSUh6dXrp0CVeuXOESD97e3liwYAFPc8ya\nNWvUjrW2thanTp3igU5ubi6AO0584cKFWLp0KZYuXYo5c+aMC12VaIdXrlzhAV9mZianPqrVakRH\nRxsxtMajShmYwk5bp9NJ1OxoS1dUVMQjFAcHB56XmzNnDmbPnj3mBStyq66uljhpKo318PBAeno6\nli5divT0dMTExIw6IikqKuIT+eTJk3xb6eTkhAULFvDcd0pKyqhTKy0tLZJOOgRMisi3SqWSNH4l\nYJIiQW9v72mWyBhbZ2enpDmFnIUlpmjs7e05LkHVfNQpZjTfC6U4Lly4gPPnz+Ps2bN83tvZ2WHB\nggU8OElJSRn1/dfQ0IBTp07xeywvLw/AnXm/ePFiLF26FMuWLUNCQsK48tjLysr4zp0CRLEzj5eX\nl0Qbn5qYjHY3a/ZOW6vVSopoiMkgSo2qVCqEhYVxsSQ6ToQUY2NjIzIyMnD8+HEcP36cb+VcXFyw\nZMkSLFu2DEuXLh11JA0AFRUVOHbsGH8tmiDe3t5YsmQJFi9ejEWLFiE2NnbEHGaajJRKIh6u2FnE\n0dGRc+JFYHLGjBkTwhbR6/UmwUgqZhEb/VJ1JOWgqTCG8tPU/3EgIFKupa0ERIoa2lTs4+DgwFM4\nYhXkRHxOBoMB1dXVHHgkiYK8vDwJk8TR0VECOs6dO3fUIk7V1dU4e/YsTp8+jZMnTyI7OxvAnZ3A\nwoULsWzZMixfvhxz5swZNd++rq6O34MnTpzguJCrqyvS09OxbNkyLFu2bNSB0lCssbGRl7+TYFZe\nXp5ET5ukbMV7KDo6Gp6enkO6PrNw2r29vSgtLZV0oqGJVlFRwSNncs6izGhcXByio6MnbEvd3Nws\nWeVv3LgB4E5UT7m2ZcuWITExcdSTsbOzEydOnMCRI0dw+PBhviB4enpi2bJlPHKPjIwc8WSsra3l\nSPqlS5ckOUva9onCOXFxcWPeSYe6rBAYWVNTI6mOpBwvDZHpMJBpNBqTEq2mqiKVgEgCIQmIFJsp\niEAkLRJDMRsbG6PGvUoVkL6+vuPSDaitrY3vnGhhzs7O5mlEUfuD0mrR0dEjntNNTU2S+yYnJwfA\nHSxn2bJlWLlyJVatWoWQkJBRv7eqqiqcOHGCBzck0+Dt7c3vmaVLlyIiImJCdn4GgwFlZWU8KyA2\n5Raduaurq0Q2gijP4eHhEmbdpDrtxYsXK3IRnZ2dJboXtBJFRERMOO+3paUFp0+fxokTJ5CRkYHr\n16+DMQYbGxtJPi0pKWnUuTvGGHJycvDdd9/hwIEDOHfuHPr7+2Fra4slS5Zg5cqVWLFixYipUAaD\nATdu3MCZM2dw7tw5nDt3jisaqtVqjpRTrj8+Pn5MPu+uri5OW6IqSQIlSZ1OCZC0t7fnYCQ5N3d3\nd8XqSGdnZ0l0a2dnNymyrowxaLVaHu3L9bMHqoKkxUnJPD09eaNe4sAT+BgaGjrkKG0gMxgMKC0t\nlRTIXL58mYNwTk5OmDdvHudVz58/f8Sqd3V1dTh+/DiOHDmCI0eO8Mg/MjISa9aswT333IP09PQx\nmX+lpaU8Cj9x4gTXwPf19ZWkLMPDwyc0fWcwGCSNhcVmE+LOFrizc6ciqR07dkye0164cCHPe4qr\nykQLE4lWX1/PkeuMjAxkZ2dzJ71gwQKkp6djyZIlSE1NHZPop6urC8eOHcP+/fvx3Xff8cmbmJiI\n1atXY/Xq1UhLSxvRa+n1emRlZeHEiRM4efIkzpw5w8ETX19fpKWlYf78+UhNTcWcOXNGBcb29PSg\nqKiItzAj6YGSkhJeLUqm0Wh42bUISFJU6evrCy8vr0kVp58s6+/vR2NjI99xKAGQSg2V7e3tjXoS\nUuHMaLR2DAYDioqKcPHiRZw/fx7nz5/n94RarcbcuXN5HnnRokUjytcyxnDz5k0cOnQIhw4dQkZG\nBnp6emBra4vly5fj3nvvxX333YegoKARvw/xtQoLC3Hy5ElkZGTgxIkTXLTN19eXpxkXL16MmJiY\nSVNw1Gq1uHXrFs88UKHUrVu3UFhYOPnpkckyxhiKi4s5P/TMmTM8BWFra4v58+dzJ52SkjJmUX55\neTn279+PvXv34vjx4+jt7YWjoyNWrlyJe++9F2vWrIG/v/+I38+RI0dw9OhRZGRk8FRHVFQUn4wL\nFy4cMfik0+lQUFAgacCam5ur2KU6IiLCSMY1ODgYXl5eZi1nOhWsvb1d0t+ReqnSQinXuaBUIgFj\nCQkJIwbE2tvbcf78eU7Ju3jxIvr6+qBWq5GSkoLly5dj5cqVmD9//oh2n1qtFhkZGfjuu++wf/9+\nlJaWAgASEhJw//33Y+3atUhJSRmTOSR34hkZGRxcd3Nzw8KFC3mtxNy5cye92AYwk5z2RFl3dzcy\nMzNx/vx5nh4gIr2rqysWLFjAwby5c+eOGeeXMYasrCzs3r0bu3fvRlZWFoA7hSxr167F/fffj0WL\nFo3o9bq7u3HixAns378fBw8e5BM8ODgYy5cvx/Lly7F06dIRlbf39vbixo0bvAApKysLOTk5vOBC\nrVYjKiqKl0CLaazxjJJ1Oh1PM4gyrSIQSTKtIhBJ+eexAiKtra15rlwJiCTuuJjCobTOePJ69Xo9\nbt++jYKCAolwUU5OjgQPCAsL491jKC02kqhcq9Xi/PnzOHbsGI4dO4bLly/DYDDA0dERy5Yt45Hy\nSAORmzdvYv/+/di3bx/OnDkDvV4PLy8vrF27FuvXr8eKFSvG7POkWgpakM6cOcOBTWtrayQlJfH0\nUGpq6pgKYQ3V7lqnrdPpkJ+fjytXrnCgLTs7m9+Y4eHh/MNfuHDhmG+F+vv7cfLkSezevRt79uxB\neXk5VCoVFixYgPXr12Pt2rWIiooaUbRbXV2NPXv28Ei9p6cHdnZ2WLZsGdasWYPVq1cjLCxs2M9d\nXl6Oc+fO8W1wVlYWj9jc3Nw4p51Ayejo6DGLPDo7OyW9JKkykqojxaa/QwEiVSqVpFckVUXa2NiM\nGRBJZfFiX8ju7m7F/LzcbGxsOABJw8vLC97e3ka9H8dKgpUKR0SFvmvXrqG4uJj/zYwZMyRSCYmJ\nicPGBlpbW3H8+HEcOnQIBw8e5AVkiYmJuP/++7F+/XokJSWNaO63tLTg4MGD2LNnD7777ju0t7fD\nzs4Oq1atwvr163H//fePedu/uro6XrF5/vx5XL16lUscBwUF8arp5ORkzJkzZ9wF7O4Kp93X14eb\nN29y0vvVq1eRlZXFkVlHR0eJZsi8efPGRba1s7MTBw4cwM6dO/Hdd9+hra0Ntra2WLVqFdatW4f7\n779/xK9bXFyMHTt2YOfOnbh06RKAOzfY/fffj/vuuw+LFy8eVvqGeN4nTpzgJfQEftjZ2SE5OZnr\nMCQlJY2Ky8sYQ0NDA1dvpEGSrRUVFYqOWKPRwNvbG15eXialWknLw9nZWdLo19bWdtJwkb6+Pkkl\nJNESiaZIIGRzc7NEhrW+vl7xc7CysuJVkIGBgbz5NYGQwcHBowJdW1tbkZmZyVXyLly4wME6e3t7\nzJ8/H4sXLx4RlsMYQ25uLk91nDlzBgaDAX5+fnjggQewYcMGLF68eETX39fXh4yMDB4YVVZWwsLC\nAmlpaXjwwQfxwAMPIDQ0dNjPO5j19PQgMzNToihIDBWVSoWoqChJt6lZs2aNqRTzlHLajDHU1NTw\nXCpFDHl5eTwidHBw4FxTcjhjIaxkyurq6rB3717s2rULR48eRW9vLzw8PLBu3TqsW7cOK1euHDEd\nsaioCF9//TV27NiB69evAwCSk5PxwAMPYP369Zg5c+awHFNtbS0OHz6Mo0ePSnjePj4+vHw+LS1t\nxEqFpCUsjsLCQpSUlBjpaHt4eCAoKEhSISn2kvTx8YGLi8v3rhhHq9UaSbDK5VcrKyslqRxLS0uE\nhIQgPDwcUVFRklZhIwkSKCI/d+4czpw5g1OnTiEnJweMMdja2mLRokV8V5eQkDCs76ipqQn79+/H\n7t27ceDAAWi1Wnh4eODBBx/Epk2bsGTJkhE5cMYYMjMzsXfvXuzcuZPzwhMTE/n9MmvWrHGbT/X1\n9RIdo8zMTAkXPigoSNIBPi4uDhERESO6z8zSaev1epSVlUlaHxGvUSzb9fHx4WWjVPU4ng4a+L8c\nG63uFy5cAGMMISEheOCBB/DAAw9g4cKFI+azVlRU4KuvvsJXX32FzMxMAMCCBQvw8MMP46GHHkJw\ncPCQn0uv1+PChQs8333t2jUAdxwmFRyMhK9KvFNRBD8nJwe3bt3iYKSFhQVCQ0MRGRnJWUEiGGkO\nDVKnqul0OlRVVUmkV4llUFBQIOH+enp68mo8uldiY2OHDao3Nzfj9OnTvLiLSsl9fHywevVq3HPP\nPVizZs2wKm+7urpw8OBB7NixA/v27UNnZye8vLywceNGPProo1iwYMGInWxJSQl2796NXbt24cyZ\nM2CMITAwkAdT6enp465TU19fj8zMTEkX+IKCAn6PaDQaRERESJq3ENV5IExoUp02acaKk47Qb7Gn\nn6enJ39jNAFjY2PHPHdlynQ6Hc6dO4c9e/Zgz549HJhISkrik2C4EYdo7e3t2LFjBz777DNkZGSA\nMYaUlBRs2rQJGzduRGBg4JCfS6vV4vDhw9i1axf27duHxsZGqNVqpKWlYc2aNVizZg0SExOHtbBV\nVFTgwoULPIq4evUq5+5aWFggIiKCty0jUDI8PHzMkXadTsfTCpRikAORIhhJOeaJACIpf25nZwd7\ne3uepqG+kCIQSeJX7u7uYw5IGgwGVFVVScBHGiSBqlarERcXx7vKpKSkID4+flgRbnV1NQ4fPoxD\nhw7h8OHDaG5uhqWlJdLT07F+/Xo89NBD8PPzG/LzabVafPfdd/j666+xd+9e9PT0IDQ0FJs3b8bm\nzZsRGRk57M+CrL6+Hvv27cOePXtw+PBhaLVaODk54Z577sG6detwzz33TJgsNLUpo2wBfU9iwAPc\nqZoUm1aILCxnZ+fJc9riYxsbGx6RUVca6qc2Uc5ZtIaGBhw8eBD79+/HoUOH0NraCo1Gg2XLlnFH\nPRI0nEyv1+Po0aPYunUrdu7ciZ6eHkRERGDz5s147LHHEBYWNuTnogkvRiwuLi647777sHbtWqxe\nvXrIOTUqwCFe9/nz5/k2z8rKComJiUhKSuKgZFxc3KirUdva2iSFNtQ/sq6uDrW1tbwqUi6OJDe1\nWs3z2qbkWScCiKTekB0dHZxpY8rs7OwkcqwkmkV9IP38/BAQEAAfH59R7SBJ9IjAR7kUsb29PVJS\nUjiDasGCBUPeDen1epw/fx579+7Fnj17cPPmTQD/t0PcuHEjAgIChnytHR0d2LVrFz777DMcPXoU\nBoMBqampePzxx7Fp06ZRadhrtVocPXqUA/l1dXVQq9VYsGABZ7nExcVNeFqO6hwKCgr4oEBWLrwG\nYPKc9kcffcRXDz8/v0nl7up0Oly+fBkHDhzAgQMHcPXqVTDG4O3tjXvvvRf33nsvVq9ePWpk+Nat\nW/jnP/+Jjz/+GFVVVXB1dcWjjz6KH/3oR0hJSRnyZNHr9Thx4gQ+//xzfPPNN+jo6ICnpycefPBB\nPPzww0hPTx9SvowxhoKCAhw9ehRHjx7FqVOnuHMMCgqSCE8lJCSMKHrWarWSbhwk5k5VkUrgm6ur\nK6tb1SsAACAASURBVHdg3t7eEpaFKNNKEq3Ozs6wsbExuxx4f38/r4gkIJIqIZubmzkzpr6+XsKY\nkUf9BEYGBQVxAJJaUUVERMDDw2PY750U+0joiRhDer0elpaWSEpKwvLly7FixQrMnz9/yN99fn4+\nvvnmG3zzzTec3rpkyRI89thj2Lhx47BAuerqanz55ZfYunUrbty4AY1GgwcffBBPPfUUli1bNuqF\n7NKlS9i3bx++++47nj709/fnVZkrVqyYtI42ZK2trbyw5tatW3jhhRfML6c9EUbsiWPHjuHIkSM4\nfvw42traYGFhgXnz5vEvbc6cOaNeTLRaLXbu3IkPPvgAJ06cgIWFBdasWYMnn3wS999//7AcYXFx\nMT7++GNs3boVlZWVcHJywsMPP4wf/OAHQwZxqApz3759OHjwIGeNhIaGYtmyZVyRbbgVaM3Nzbhx\n4wbHH/Ly8lBQUGDU5srZ2ZnntgMDA/mR+kf6+vp+r9uUkRYL7TwqKyv5AldeXo7S0lJUV1cbST9E\nRkZyTZ6YmBjEx8cjODh4WPO3o6MD586d48Umly5dgl6vh52dHZYuXYr77rtvWNWJRUVF+Oqrr/D5\n55+joKAANjY2ePDBB/Hkk08Oy+lSrcNHH32Ezz77DC0tLQgJCcGTTz6JJ554YlgpRFNWXV2NAwcO\n4ODBgzhy5Aj3BykpKVi5ciVWrlyJ1NTUSddsN0sgcjyMnDSJ1mRkZHBaU3BwMP9SVqxYMWYtxHJy\ncvD+++/js88+Q2trK0JDQ/kkG852sa+vD99++y3ee+89nDx5EhYWFli1ahV+/OMfY926dUNycI2N\njdi1axd27tyJY8eOSaowV61ahZUrV2LGjBlDuh7qv3f16lWuBpidnS1xzg4ODhJghQDJGTNmTFj+\nkDGGvr6+CSuusbW1nbDdYm9vL8rKynj7MNpa5+fn83kN3KG7xsfHIzExkdPQYmNjh+x42trakJGR\ngSNHjuDAgQNccjUhIYFT9uLj4weN8hljuHr1Kj7++GN88cUXaGlpQVBQEJ566ik89dRTwypS6enp\nwc6dO/Hhhx/i2LFjUKlUWL16NZ5++mmsXbt2TDRn+vv7ceHCBRw+fBhHjhzhBUO2trZYsGABli5d\niiVLliA5OXnCqyTvWqfd29uLa9eu8V50p06d4hoY3t7eXOhp6dKlYyoUo9VqsX37drz//vs4d+4c\nrK2tsWHDBmzZsgXp6enDuqlramrw7rvv4u9//zvq6uoQGhqKp556Co8//viQ8umtra345ptv8OWX\nXyIjIwN6vR6hoaG8CGGoVZidnZ28OSoNEjZSq9WIiYmR0JliY2PHTHC/o6MD9fX1kuKa4QCRE72b\ns7a2HhYQSSkfEsUarTIkcMfR5ufnc2lQYi4Q7VKj0WD27Nm8GXVaWtqQIlVKpRFlj1gZERER2LRp\nEx577DFER0cP+jw9PT3YvXs3PvjgAxw9ehSWlpbYsGEDfv7zn2P+/PnDmjelpaX46KOP8NFHH6Gy\nshJ+fn7YsmULtmzZMiym1WDW0tIi0SshSqG1tTVvC0if53hjcHeF09br9SgoKODdNIgnKVYtUXn6\nokWLEB0dPea5z6ysLHz44Yc8qo6MjMTTTz+Nxx9/fNhfYmZmJt555x189dVX0Ol0uPfee/Hcc89h\n9erVgzp9nU6HAwcOYOvWrdi3bx96e3sRERGBRx55BBs2bBgSV7Wrq4vvSE6ePImrV6/yKHTmzJmY\nN28eL3seaaslvV6P6upqRcU/EYg0JXVqYWEBFxcXSU5bLK4hpT+xKnKspVkJiBT7Q5KONwGR8uKa\nlpYW3hFc6T1RVaQciKRGEoGBgSMCfsWWe1euXOFsIPp8Q0JCeFpsxYoVQ3LidXV12LVrF3bs2IHj\nx4/DYDBg7ty5+OEPf4jHHntsSPO+qKgI7777Lj766CO0trYiOTkZv/jFL7Bx48ZhcZh1Oh3279+P\nv//97zhw4AAA8BTkunXrxjyl0djYiDNnzvBy92vXrkmqrZOTk3mdyKxZs8a0SnLcnbZKpVoM4A+M\nsRWyn4/Iabe1tfHmo4SEZ2dn88lnb2/PC2sIQBsO9Wg41tnZie3bt+O9997DpUuXYG1tjYceeghP\nP/00lixZMqyFgTGGjIwMvP766zh69CgcHBzw5JNP4t/+7d8QHh4+6P/fvn0bH3zwAT788EPU1NTA\ny8sL//Iv/4LNmzcPWjLMGEN2djb27duHI0eOcElYjUaDlJQUvuDNmzdvWCBSX18fVyWjLTyBKeXl\n5Ubl3k5OTpICG7G5rQhEuru7w9HRccqKTmm12gGByNraWq7sV19fb7Rb8Pb2lgCRlH6KjIwc1vfT\n39+P7OxsXkBz6tQpzlSIiorCihUrcO+992Lp0qWDLsw1NTX4+uuv8emnnyIzMxMajYbfC+np6UMK\nFD755BO88847KCwsRFBQEP793/8dW7ZsGXZQcPv2bXz44Yf45z//iaqqKnh5eWHLli146qmnhpwC\nHK51dXXh6tWrOH/+PF8QKV2oUqkQEREh6cUaHx+PwMDAEQWPExJpq1Sqs4yxNNnPTDptqnwU83Q0\nSMcAuHOTU3PN2bNnIykpCVFRUWOyxTRljDFcvnwZH3zwAb766it0dHQgOjoaP/nJT7B58+Zh58MZ\nY9i3bx9ef/11XLhwAd7e3vjVr36FZ555ZlDUmjGGM2fO4J133sGuXbsAAPfccw/+9V//Fffee++A\nkYpOp0NGRga+/fZb7Nu3j4ORs2fPxooVK7By5UosXLhwSDcMsRDEQpu8vDwUFRVJHLO7u7tiG7Lg\n4GAEBASMu2bDVLT+/n7JjoSASKpvqKiokPB7/fz8MHPmTMTGxvLmFUMtpiE996NHj+LIkSM4efIk\nuru7YWdnhxUrVmD9+vV44IEHBp3jOTk5+OCDD/DJJ5+gpaUFsbGxeP7557F58+ZB55PBYMCBAwfw\n5z//GWfPnoWXlxd++ctf4qc//SmcnJyG9qH9r+n1ehw6dAjvvfce9u/fD4PBgGXLluGpp57CAw88\nMO7NeGtra3HlyhXeFDkzM5OXuwN3wGMqqpk5cybHf0JDQwfcGUyU0z7BGFsq+xm7efMm16Ggnnak\nIdvZ2cn/1tbWFtHR0by4hlaqoKCgCaN41dTU4JNPPsHHH3+Mmzdvws7ODo888gi2bNmCtLS0EdGt\n9u3bhz/84Q/IyspCSEgIXnjhBTzxxBOD3mAGgwHffPMN3njjDWRmZsLNzQ3PPPMMnn322QFRfYPB\ngJMnT+Krr77Ct99+i8bGRi62QxomPj4+g153WVkZb+hKqSii7VlYWCAsLEyi/BcVFYWIiIgxByD1\nej2n002VdmNjzYrp7e3lu5mCggLk5eUhNzdX0uJKrVZj5syZvJiGtuyDpR96enqQkZGBffv2Ye/e\nvSgvL4elpSWWL1+OTZs2YcOGDQM6Uq1Wi23btuGdd95BVlYW3N3d8dxzz+H5558fUnBz+vRp/Od/\n/icOHToEFxcX/OpXv8IvfvGLES3ulZWV+Pjjj/HPf/4TpaWlcHJywqZNm/Dkk08iNTV1wvxIa2sr\nzxTcuHGDB6Oi5rxarUZISAjvtRoWFobQ0FCuN+Pu7j55Tlt8bGVlxaMwKrChtjtBQUGTshXu7OzE\n7t278fnnn+Pw4cPQ6/VIS0vjJP/hrvxkGRkZePHFF3H+/HmEh4fj97//PR599NFBbyK9Xo9t27bh\ntddeQ15eHiIjI/HrX/8amzdvHjDPWVJSgk8++QRbt27F7du3YW9vj7Vr1+KRRx7BmjVrBow4DAYD\nsrOzceLECZw9exbnzp3jesMajYYX29DWLzY2dsTFNr29vVxzw5TKX1NTE+/8MtS2Y2TkZMe63ZgY\n6Q5mNjY2XOzKzc1NUeWPctp+fn5wcnIakUOhHHZWVhaP8q5cucLTH7a2tkhOTkZaWhrXWB+omIa0\nPbZv345t27ahtLQUtra22LBhAx5//PEB6XuMMZw+fRpvv/02du/eDUdHR/zsZz/Dr371qyHlva9e\nvYo//elP2L17Nzw9PfHiiy/i2WefHdECaDAYkJGRga1bt2LHjh3o7u5GdHQ0HnvsMfzgBz8Yt/TJ\nYNbS0sLTiJRKpEBWqahs0pz2p59+ipCQEAQHB8Pf398scpRarRYHDhzAjh07sHv3bnR3dyMwMBCP\nPfYYfvzjH4+qnPbKlSv43e9+h6NHj8Lf3x8vv/wynnjiiUGdNWMM3377LV566SXcvHkTsbGxeOml\nl7Bx40aTqSC9Xo/9+/fjr3/9K44cOQKVSoWVK1fiiSeewPr16wd0rBUVFThw4AAOHz6MEydO8Kq5\n0NBQLFiwAGlpaUhNTUVcXNywAB4qEhCLa8rLy1FeXo7KykrFyi/gTqHNQCp/YrsxAiKpGpKiX41G\nM27RVH9/PwcjqSqSIn5T7cZElb+mpiY0NDQoSrra2dnB39+ftxeTF9cMpyiNqJqXLl3CuXPncPbs\nWVy7dg06nQ6WlpaYN28eli9fjnvuuQdJSUkm5xZjDBcvXsTWrVvx5Zdfoq2tDTNmzMBPfvITPPnk\nkwNG0Tdu3MBrr72G7du3w87ODr/4xS/w29/+dkgB0KVLl/Diiy/i2LFjCAgIwMsvv4wf//jHI06H\ntre34+uvv8Ynn3yCM2fOAADmz5+PjRs34uGHHx4T7vdYWEtLC89IlJaW4te//vWgTptHHCMdAE4o\n/IyZi7W1tbFt27axRx99lNnb2zMAzMPDgz3zzDPs1KlTTK/Xj+r5y8vL2Q9/+EP+vG+//Tbr7u4e\n0v9evXqVLVq0iAFgMTExbPv27QNeT3d3N/vLX/7CQkNDGQDm7+/PXn31VVZRUWHyfwwGA7t48SL7\n7W9/y+Li4hgABoAFBgayJ554gn3yySessrJySNer0+lYYWEh27VrF3v99dfZj370IzZ//nzm7u7O\nn5eGs7Mzi4+PZ/fddx975pln2Kuvvso++OADtn//fnb16lVWVVXF+vr6hvS6U90MBgNrampieXl5\n7Pjx4+zzzz9nb775JvvlL3/JNm7cyObNm8f8/PzY/+5Q+bCxsWGxsbHswQcfZC+88ALbunUru3z5\nMuvo6BjS63Z2drLDhw+z//iP/2DJycnMwsKCz9PHHnuM7dixg3V2dpr8f61Wy7744gu2ePFiBoDZ\n2tqyZ599lt26dWvA183Ly2ObNm1iAJiXlxf7xz/+wXQ63ZCu+ejRoyw1NZUBYPHx8ezQoUND+r+B\nrKysjP35z39mCQkJ/LNdsGABe/vtt1lxcfGon38s7X9958A+d7A/GPCfgXgAtwHMZGbitA0GA8vP\nz2fvvPMOW7VqFbOysuIT9emnn2ZHjhxh/f39o36d9vZ29v/+3/9jNjY2zNramr3wwgusra1tSP/b\n2NjInnnmGaZSqZinpyd7//33B5zUnZ2d7K233mI+Pj58wm3fvt3k+zAYDOzy5cvsl7/8JQsKCmIA\nmKWlJVu2bBl76623WG5uLjMYDANeo1arZefPn2d/+ctf2JYtW1hSUhKztraWOBV/f3+2dOlS9vTT\nT7M333yTffPNNywzM5O1tLQM6XMYCzMYDKy3t5e1t7ezxsZGVl1dzcrLy1lJSQkrKChg+fn5LDc3\nl2VnZxuNnJwclpeXx27evMmKi4tZWVkZq6ysZPX19ay1tZVptdpRL+rDsZ6eHlZQUMAOHjzI3n33\nXfab3/yGrVu3jsXExPB5TCMsLIw99NBD7NVXX2V79+5ldXV1gz5/Y2Mj++KLL9jmzZuZh4cHd8Qb\nNmxg27ZtY1qt1uT/Xr9+nW3ZsoVpNBqmVqvZE088wQoLCwd8vcuXL7O0tDQGgM2dO5ddvHhxSJ+D\nwWBg27Zt48HJmjVrWE5OzpD+dzArLCxkr732msSBz5w5k73wwgvs+PHjrKenZ0xeZ6Q2FKdt9jzt\noVh1dTUnxh86dIizJSIjI7F+/XqsW7cO8+fPHxPmiV6vx8cff4wXX3wR9fX1ePTRR/H6668jJCRk\nSP+/fft2/PSnP0VLSwt+9rOf4ZVXXjFJ5dLr9fjwww/x+9//HvX19Vi+fDleeuklk5TDmpoafPrp\np9i6dSvy8vKg0WiwevVqPPzww1i7dq1JsJAxhtu3b/NempcuXcKNGzf4lt7d3R2zZ8/mIlJUSj0a\nRojBYJCkECifTRoera2tHIBsb2/nACQNEnLq6ekZ9yIbjUYDGxsbidKf2HbM0dGRp3GIX055beoy\n7+npOarqOp1Oh5KSEg5GZmdnIysri6tSAneqf5OSkpCWloa0tDTMnj3bZHpOp9Ph9OnTXEektrYW\nLi4u2LRpE5544gmTAF5lZSXeeustvP/+++jr68OWLVvwpz/9Cd7e3oqvwxjDl19+id/85jeora3F\nc889hzfeeGNILet6e3vx17/+FX/605/Q0dGBp59+Gq+++io8PT2H+KkNbKWlpdi7dy92796NU6dO\nQafT8ZL+5cuXIz09fdiqmaO1u6K4Rm56vR55eXmcM3n27FkUFhYCuEOzWb58OVatWoVVq1aNeWeL\n06dP4/nnn8e1a9eQlpaGt99+GykpKUP635aWFjz33HP48ssvkZycjA8++AAJCQkm//748eP45S9/\niezsbCxatAhvvPEGFixYoPi3Fy9exP/8z/9g+/bt0Ol0WLBgAR5//HE88sgjJheE6upqLiQlNk1w\ncnJCSkoKkpKSkJqaiqSkJPj7+w85Z8wYQ11dnUTUv6qqincfJ2W/xsbGAUE+coROTk6SXLao8EeO\nlMrNifWhBEKaAiKJWaLX66HT6aDT6TgQ2dfXxxcGYqmQ0p+o9kcLS1tbmyJLhczZ2Rmenp7w8fGR\ntB2jzjV0HA6W0NHRgaysLFy8eJF3pykrKwNwJ2eelpaGFStWYMWKFZg1a5aiA9Lr9Th+/Di2bt2K\nb7/9FlqtFnPnzsXPf/5zbNq0SXGxqaurwxtvvIG//vWvsLW1xUsvvYTnn3/e5MLU3t6Ol156CX/5\ny18QERGBTz/9FKmpqUN6j01NTXj11Vfxt7/9DQ4ODnjllVfw3HPPjajJgCnr6OhARkYG7xpPbdpc\nXV2RlpbG60KSk5PHVS9+yjvt3t5e3Lx5E9evX5doYZB2sLu7O++qvnTpUiQmJo4Lj7uoqAgvvPAC\ndu7ciYCAALz55pvYtGnTkB1ZRkYGNm/ejLq6OvzhD3/A7373O5MaCo2NjfjZz36Gr7/+GiEhIXjz\nzTexYcMGo9dijGHv3r14/fXXcfHiRTg5OeHJJ5/Es88+i6ioKKPnNRgMuHz5Mvbu3Yu9e/fyUl1q\nmrBkyRKkpaUh7v9n77vDorje78/SFSkqRRSliCJgQaqAotgRe0WjsUax95ioESyxEmMkakyCXVSi\nKIgNg4pY6CJKE6QoTUAUpJd9f3/4mfubXZammJh8c55nHlZ3dnZ3dvfOved9zznduzd4Dquqqpgv\nBlcFT05ORlpaGtLT02tZlsrJybFBSktLCxoaGtDQ0GC2pdyMlCtCKisrf9J+/E8FIkJJSQlbMXAr\nCK4YycWO5eTksIuYeJeMQCBAhw4doKurywQ2nK2xoaFho1zpsrKycP/+fQQHB4uEGqirqzNL3yFD\nhkhcKRUVFeH06dPw8PBAfHw8NDQ0sGzZMixbtkzi/s+ePcOaNWtw+fJldOnSBZ6enujXr1+dr+32\n7duYNWsWMjIysHHjRmzatKnRn3VcXBxWrVqFGzduwMDAADt37sT48eM/SRE6IyODrd7v37+PxMRE\nAO/bRLt16wYzMzOYm5ujd+/e6NGjR7N5GjVm0P7oQqSkDU3ktAsLCykqKorOnDlDmzZtosmTJ5OJ\niQnJyMgw3qlly5Zka2tLS5YsoePHj9OzZ88a5GU/FoWFhbR27VqSlZUlJSUl2rJlC5WUlDT68UKh\nkPbv30/S0tJkaGhIERER9e5/48YNateuHcnJydHmzZslcoxCoZCuXLlCFhYWBID09fXJw8ODioqK\nJO774MEDWrp0KePDpaSkqH///rR792569OhRvZxtTU0NPXv2jM6fP0+bNm2icePGUbdu3UQ+F/yv\n6Ghubk4TJ06kNWvW0M8//0x+fn4UFRVFubm5n/xz+ifj3bt3lJCQQH/++ScdPXqU3NzcaNasWdS/\nf3/S1tauVeDV0tKigQMH0rJly+j333+nsLCwBr+TWVlZdPLkSZo6dSqpqqoSAJKTk6PRo0fTmTNn\nJBYjhUIhBQQEkKOjIwGgNm3a0I4dO+osgl6/fp309fVJIBDQ+vXr6y0yv337lr788ksCQE5OTk2q\ngQiFQvL392dFdQcHB4qJiWn04z8Ur1+/pqtXr9KmTZto5MiRpKWlVau+M2zYMFqxYgX98ssvFBQU\nRFlZWU3+7uNz4bSLi4vZcvnFixciLS7JycnIzc1l+3JRVsbGxujZsycT23xqNSQfZWVlOHjwIHbu\n3In8/HzMnj0b27dvb1CcIn4MFxcXnDhxAqNGjcKpU6fqbH2qqqrC+vXr4e7uDmNjY3h5eaFXr161\n9ouJicHSpUtx9+5d6OrqYtOmTZgxY0atWXtWVhZ+//13HD16FGlpaZCXl4eTkxPGjx8PR0fHOmcF\nOTk5uH//PkJDQxEeHo7IyEhmRCQlJQUDAwOYmJgwMRTn7temTZuPnu0IhUIRmqEuQQ0/rYbbKioq\nRPqrOVFNdXU1hEIh28QhEAjqFNjwRTYKCgps43htjtsWF9rw2xSbY/leVlaG1NRUJrDhBBuxsbEi\naTUmJiZMYGNnZwcTExOJVEhVVRUePHgAX19fnDt3DllZWWjZsiUmTJiABQsWSIwBCw8Ph5ubG65e\nvQpNTU3s3LkTX375Za3jFxcXY/ny5Thy5AisrKzYarEuHDp0CMuWLYOenh4uXrwIExOTRp+X6upq\n/Prrr/juu+/w9u1bTJ8+HZs2bWpSwMjHIjs7GzExMcy86+nTp7Ui4Vq2bCmiFObaoLn8VHV1dZHz\n/bfSI0OGDGEeC2/fvhW5X1pamiVPc0u/zp07M3Xd3+W3XFNTg9OnT2PDhg3IyMjAkCFDsH37dlhY\nWDTpOO/evYOTkxOCg4Ph5uaG7777rs5iRnFxMSZMmICAgAAsXLgQP/zwQy1BTGlpKdzc3LB3716o\nqqpi69atmDt3rgj3SUS4desWfv75Z1y+fBk1NTUYPHgwpk+fjrFjx0pcVqelpSEwMBC3b9/GgwcP\nkJqaCuD/C2ssLS1hbm6OXr16wdjYuEnS4KqqKhZim52dzfw3cnNz8fr1a1aA5Fz9CgsLGy1kkZOT\nE+GyJfHZkoQ1kjht+p/ARigUinDadRlHNZRWw4eioiLrOedc/7iiJJdEz+e2G1Oc4yAUCpm9AJdW\nEx4ezhwaVVRUYG1tDXt7ewwaNAgWFha1Lu41NTUIDg7GmTNncObMGbx79w7du3fHggULMGfOnFr9\n/iEhIVi5ciVCQkLQr18//PbbbxKpuPPnz2PevHmQlZXFtWvX6v39BAcHY9KkSSgrK8P169dhY2PT\n6HMAvPd537FjB37++WfU1NRg0aJF2Lhx49+SiAW8/1xevnyJhIQEFg6SnJyM1NRUpKWlsQstB3l5\neSa2at++Pf7444+/b9C2trYWcTLjriydOnVChw4dmsUXt7lQWVmJkydPYufOnUhOToa5uTnc3d0x\nYMCAJh/rzZs3GDFiBMLDw3H69GlMmTKlzn0LCgrg5OSEsLAw/Pbbb5gzZ06tfaKiouDs7IykpCTM\nmzcPu3btEpkpExGuXr2KrVu3IjQ0FOrq6pg9ezbmz59fa9ZRWVmJO3fuwNfXF9evX2f+yZqamujb\nty9sbW1ha2sLMzOzBothJSUlTEyTkpKCtLQ0tpJ6+fKlRDMk4H2BkbMq5TZuYONc/fhFSK5Dg5vZ\ntmjR4m/lu4mIDeDcCoArRvJd/woLC5m6k0uz4bjtgoICiRcoZWVlkd+Kjo4Om6Hp6+tDQ0OjQXOw\nlJQU3L9/Hw8fPsT9+/fx5MkTdmwHBweMHj0aI0eOrJXkXlxcjLNnz+Lw4cOIiIiAuro6Vq9ejUWL\nFolw2UKhEMeOHcPq1atRWlqKPXv2YOnSpbVeV1JSEoYOHYr8/Hz4+fnBwUFEfyeCly9fYtCgQcjO\nzoa/vz/69+/fqM+Cj6ysLLi5ucHT0xMKCgpYsGABVq9e/VGxgc0NIkJBQQH7rXBbVlYWm+A+e/bs\nn8Fp/10oKCggd3d3xh2am5vT+fPnP7g3Ny8vj7p3705ycnLk4+PT4HM3tO/hw4dJVlaWtLW1KTAw\nsNb9QUFBZGZmRgBIV1eXfvnll1p9puXl5XTx4kVydnYmZWVlVh8YNWoU/fTTT/T06dM6eTehUEgZ\nGRkUEBBA+/bto/nz55ODgwN16NChFteqqKhIRkZGNHToUJo7dy65urrS4cOHyc/Pj8LCwig9Pb3e\nPuD/S6iurqZXr17RkydP6ObNm3TixAnauXMnLV26lMaNG0cWFhakoaFR6xwrKyuTubk5OTs70+bN\nm+mPP/6g2NjYevnj3NxcOnfuHM2fP586duxIAEggEJCdnR3t27ePsrKyaj3m3r17NGzYMAJArVu3\npj179tR6juzsbBo5ciQBoLFjx0rkujMyMsjY2Jjk5eUbFMlkZmaSkZERycvL09WrVxt5JmsjLi6O\nvvzyS5KWliY5OTmaN2/eX8J5NxfwuXDanxtiYmJw8OBBnDx5EqWlpejfvz++/fZbDB069IO52bKy\nMgwaNAhRUVG4cuUKBg0aVOe+VVVVcHR0RHBwMK5cuYLBg0WcbSEUCrF+/Xrs2rULw4cPx6lTp9C2\nbVt2f1ZWFtauXQsvLy/o6OjA1dUV06dPZxwqESEkJAS///47Lly4gMLCQqipqWHMmDEYM2YMBg8e\nXIvqICI8f/4cISEhePToEaKjoxEdHc1k7gDQpk0bFszctWtXEa6ubdu2zVrFFwqFIh7WHI/Nqj4A\nPQAAIABJREFUURScORTHZ/M3vp9IUzhtbuPz2rKysox+4RtIcfy2oqIi47ibswUNeP+dSktLY65/\nSUlJzL8iPT2drWTk5ORgYmKCXr16wdTUFNbW1ujdu3et9jui97Fevr6+uHjxImJiYiAlJYUBAwaw\nFlE+NRkeHg5XV1dcu3YNRkZG8PDwEPleExF+/PFHrF27Fr1794a/v3+tus/r168xaNAgpKam4uHD\nhzA2Nq7z/b5+/RpDhw5FQkICgoKCmkxL8pGWlobdu3fj2LFjKCsrQ//+/bF06VKMGjXqb48Uqw//\n+Ja/5kRaWhq8vLxw5swZPH36FAoKCvjiiy+wdOlSiUW/pqCmpgaTJk3CpUuX8Mcff2DChAn17r9o\n0SIcOnQIx44dw8yZM0XuEwqFmD9/Pjw9PeHi4gIPDw9GJRERDh06hHXr1qGqqgrr1q3DunXrGPdY\nXl4Ob29veHh4ICIiAq1atcL48eMxdepUDBo0SGRQqa6uxqNHj3Dnzh0EBQWJJNYoKCigR48e6N27\nN3r27Mlc/cSLJg2htLQUeXl5zBSK47I52oAvouFoBX7h8Z8GOTm5OlNtOMGNOL/NmUmpqqo2+dwm\nJiYiNjYWT58+ZRaheXl57LX07t0bffv2hYODA+zs7Gr17MfHxzM+Ozk5GWpqapg/fz4WLlwoEpnn\n7++P5cuXIyUlBc7Ozjh48KCIUMvf3x9TpkyBlpYWbt++XcvX4+XLl7C0tISioiJCQ0Pr5ZtzcnJg\nY2OD0tJSPHz48KNNngoKCuDp6YkDBw4gPT0drVu3Zrmr9vb2n4UnEh//pwdtri/Z398f/v7+LDna\nzs4O06ZNw5QpU0Rmrx+DPXv24Ouvv8aPP/6IFStW1LtvYGAgBg8ejNWrV8Pd3b3W/Vu2bIGrqys2\nbtyILVu2sB9yeXk5XFxccPz4cQwbNgwHDhxgnHVFRQU8PT2xbds2ZGdnw8jICEuWLMGMGTNE+MiU\nlBRcu3YNV69eRVBQEBsYDQ0NmVFUnz59YGxsXG/Nobq6GhkZGcwMitu4omN2djZevXpV78CrrKzM\neGxuYBNPp+GENPyEmvoKkHxRjYyMDJtBN6UQyRfZiDv+cRs32+d3s/AFN8XFxSJGUnx+uy7xjYyM\njEhhUktLCx06dIC2tjbjuXV1destVhIRsrKyEBoayqLjQkNDUVlZCYFAAFNTUzg6OsLR0RF9+vQR\nmQwEBgbCw8MDly9fhrS0NObMmYONGzeyAbi8vBy7d+/G1q1boaenBz8/P5H4sZCQEAwbNgz6+vp4\n8OBBrZVcSEgI+vfvj+nTp8PT07PO9wAAiYmJsLGxQefOnXH//v1mmRlz/tteXl64dOkSSkpKoKmp\niREjRmDkyJF19q3/1fjH9Gk3B0pLS+nBgwe0e/duGjlyJOtHlZKSon79+tGuXbsoNTW12Z/39u3b\nJC0tTePHj2+wJ1MoFJKVlRV17NhRIr977do1EggENGPGDJFjZWVlUZ8+fQgAbd68mXHuNTU1dOTI\nEdLR0SEA1K9fPwoICBB5bGJiIrm5uVG3bt1EfCsWLlxIZ8+elchpEv1/cyhfX19yd3enBQsW0MCB\nA0lPT4+kpaUl8q3dunUjBwcHmjZtGq1atYp27txJnp6e5OfnR/fv36eEhATKy8trFu+XfyKEQiEV\nFRVRamoqRURE0I0bN+jUqVP0448/0rfffktz5syhESNGUO/evUlTU7OWgRQAUldXJysrK5o6dSpt\n2rSJTp06ReHh4XUaP5WWltKtW7fIzc2N+vXrxz47VVVVmjVrFt24cUPk80hNTaUlS5aQrKwsycnJ\n0bJlyyg3N5fdf+/ePdLQ0CBlZeVa3POVK1dIIBDQrFmzJP4WVqxYQVJSUhQfH9/guTp//jwBoEWL\nFjX29DYaxcXFdObMGXJ2dmbjhLS0NFlZWdGaNWvI19eXcnJymv15GwP8GzltovfJN7GxscyDITIy\nErGxsWwWY2hoCHt7ezg4OGDYsGHNplYSR0FBAYyMjNC6dWuEhYU1aEF5/fp1ODo6wtPTs1anSEFB\nAbp06QJtbW08fPiQUR7Z2dmwsbFBXl4eTp48ifHjxwN476M9e/ZsBAcHw9LSEtu2bcOQIUMgEAhQ\nUFCAEydO4MSJE3j06BEEAgH69++PcePGwdHREV26dBF57ry8PMZhR0dHIzY2FomJiSLtbW3btkWX\nLl2gr6/P7EM7derE5Nd/xSylurpaJOiA+8vNjLmZsjiXLRQKJXaycLNvjtfmc9v8GTvXs81PapeV\nlf3k5vqVlZXIzs5mXTnp6enM+jY5OVmE1xYIBNDV1WVBzKampjA1NYWBgYEIBfD27Vv8+eef8Pf3\nx8WLF1FUVAQNDQ1MnjwZ8+fPR48ePQC8j/XaunUrjh07htatW+PQoUOYOHEiAODFixcYM2YMYmJi\n4OXlJdIh5erqii1btuDMmTNwdnYWeT95eXnQ19fH2LFjcfLkyQbf/9q1a+Hu7g5vb29MmjTpo8+n\nJHB96wEBAQgODmYrEwDQ1tZmqkeOIuzSpUuz1y74+EfSI0SEwsJCZGZmMj/m9PR0JpVOTk4Wkf6q\nq6vD3Nycbba2tnWa1zQ3Fi9ejMOHDyMyMrJRvLiLiwu8vLyQn59fa8m3efNmuLm5ITo6mh2rtLQU\nAwYMQFxcHO7cuQMLCwsQEX755ResWbMGsrKy2LdvH2bOnAmBQIDIyEjs378f3t7eKC8vh6WlJZyd\nnTFlyhTW+iQUChEdHY3g4GC2fOb6swGgY8eO6N69O4yMjNgXtWvXrk2+8JWXl7MebK4Pm9skGUFx\nf/m+1XwBTXl5eZMCCf4KyMvL1ym8admyJaN4xI2llJWVWXsj31xKSUmpSReC8vJypKSkICEhAU+f\nPmWim/j4eGb2paysDGtra1hbW8PW1hb9+vVj3hnl5eW4evUqzp07B19fX1RUVMDGxgYLFy7E1KlT\nISMjg6dPn2L27NmIiIjA1KlT8fPPP6NNmzYoKSmBo6MjwsLCEBQUxHxEampqYGZmhsrKSsTGxtbi\njOfOnYsLFy4gPz+/wbbf6upqWFtb49WrV0hISPiknh8cysvLER4ezsRlkZGRXBsegPc0lp6eHtOX\n6OrqolOnTmwCo6Gh8VEtqZ/FoC0UCiX2rHJpJZwfAyfEyMrKqpXSzT9RnAjHxMQEJiYmtfpN/yo8\nfvwYZmZmWLx4Mfbv39/g/kTEXNh8fHxE7ispKUGnTp1gZ2cHPz8/tv/UqVPh7e2NS5cuYfTo0ais\nrMSMGTPg7e2NIUOGwNPTEx07dsSTJ0/g5uYGHx8ftGrVCtOnT8eCBQtgamoK4H0R9tq1a7h16xZu\n3brFOkK0tbXRp08fWFtbw8zMDL169aqT5+cupllZWexz4syfuBSa/Px8VnSsK2mdg5SUlAh/zSWs\nc73Y3ADIDYh8Dls8oYYvqOHPlgUCAfsrzmlz74k/E6+P266L3xZPbBfnuLk+7uLi4jqT2jlIS0uz\n4iTny8IPQOZEOO3bt693cKioqEBcXByio6MRFhaGkJAQxMTEQCgUskCEgQMHYtiwYbC2toa0tDRe\nv36N48eP4/Dhw3j27Bm6du2KzZs3Y9KkSRAKhdi5cye2bNkCLS0tBAQEoFu3bsjPz4e1tTVKSkoQ\nERHBipfnzp2Ds7MzfHx8MG7cOJHXduHCBUycOBFBQUGwt7ev93wAwIMHD2BnZ4dvv/0W27dvb3D/\nT4HS0lIkJCSwC2JycjKbRIp7x0hJSaFdu3Zo3749E1BxPjtc8ZmvTWjdurXIBO5vHbQ7duyIwsJC\nvHv3TuLSlEPbtm2hqakJdXV1EWVQ+/btWZpHu3btPjsDoRkzZsDPzw9paWmNykcsKytDy5YtsW3b\nNmzYsEHkvoCAAAwbNgzXr1/HsGHDAPz/giW3f3V1NZydnXHhwgXs2rULa9euRWZmJpYvXw4fHx8o\nKSlh9erVWLlyJZSVlfHo0SOcPXsWV65cYYZBHTt2xKBBg5jtJL9DAHj/5eRMoLhk9bS0NCaY4STt\nfCgoKKBdu3YiX0zuy8nNIDm7UhUVFdZR0aJFi78su+9zQWVlJVthvH37VmQyw5/QcB03eXl5ePXq\nlcRIKhkZGVag5EQ43Na1a9daQpzi4mKEhIQgMDAQgYGBiIyMhFAoRNu2bTF8+HCMHz8eI0eOhKys\nLPz8/LBhwwbExsbC0NAQe/fuxYgRIxAZGQknJydISUnh7t27MDAwQHx8PMzMzDBt2jRWYKyurkaH\nDh0wfPhwHD9+XOR1p6WlQU9PD7/99hvmzZvXqPM2depUXLlyBVlZWX/JbLux4CYyXErTy5cv2YQm\nKytLZEJaVVVV53EUFBTYqisxMfHvG7RnzpzJfqT8qwqXnce5un1OysjGIj09HV27dsVXX32Fn3/+\nuVGPISLIyspi3bp1+P7770Xu27t3L1avXo3c3Fyoq6uDiGBvb4/U1FQ8f/4cMjIymDlzJk6fPs06\nVM6dOwcXFxdUVVVh9erVWL58OYRCIU6dOoVjx47h8ePHkJGRgb29PZycnODk5ISuXbtCIBCwmVhM\nTAzzTkhISGA+5Bzatm3Lln+cSo9TubZv3x7t2rVDq1atPpvBlz9z5mbPdfHZHPi8tji//bmgsrJS\nxBIgMzOTde+8fPkSaWlpyMjIEKGPVFRU2Iq0Z8+eLL2dW0m9efMGAQEB8Pf3x7Vr1/D69Wu0bdsW\n06ZNw5w5c9CzZ0/4+Phg06ZNiI+Ph4uLC9zd3ZGWloYBAwagRYsWzANn+fLlOHDgAJ49e8Za9IYO\nHYqCggJERESIvJfY2Fh0794d586dw+TJkxv1/rnZ9g8//IBVq1Y101n960BEKCoqErFv4F+suQt4\nYWHh3ytj/1SFyM8BCxYswIkTJ/Ds2bMmZc1paGhgwIAB8Pb2Fvn/RYsW4fTp0ygsLAQAPHr0CGZm\nZti/fz+WLl2KdevWYffu3di+fTvmz5+PRYsWwdvbG9bW1jh16hTKy8vx008/sduWlpaYNWsWnJ2d\n0bp1a8THx+PevXsIDw9HREQEnj59yjjPFi1aMBMoQ0ND5v+ip6fXKBtQDkKhECUlJRLT04uLixll\nwNEHHJ0gzltzlAPf05pfcOQXHvkURkOD84dA3EiKv3GUDL/lkE/f8Lluju/m0z58b3BJ6e5KSkpN\nKnhVVlbixYsXSE5OZuZSiYmJePr0qUgaeKdOnWBubs7CEqysrCArK4s///wTx44dw6VLl1BRUYF+\n/fphxYoVGDZsGFxdXbF371507twZR48ehaKiIgYOHAhNTU2Eh4fj3bt30NPTw9KlS1kb68KFC+Hl\n5cW+0xx8fX0xduxYBAQEYMiQIY16b0SE4cOHIyIiApmZmX+bN9Ffgc+C0/63oaysDO3atcO4ceNw\n7NixJj129erV2LdvH54/fy7ifsb1eefl5UFNTQ2HDx+Gi4sLUlNTUVRUBFNTU8ybNw87d+7EgAED\nkJCQAFdXV4wePRpr1qxBQEAAWrRogS+//BJLliyBmpoaLl++jGvXriE4OJiF6rZp04YVbLkkGgMD\ng1rUU2VlJfN95iemc74ZfKMnbpZQVFTU6EFTSkpKZBDjBjmOt+YPfvzODT53zTeF4v7yO0DEZ9CS\nVgPirVTiHSd8ZSV3weBS2/nGUlVVVSIKTS48geO7+Zx3fctkcbRo0YJRS6qqqmjTpg3b+Lw3l/Re\n18rn1atXePz4MfOlj4yMZCb/cnJysLS0xKBBgzBmzBjo6uri+PHj8PDwQGpqKnR1dbF161Z06NAB\nc+fORWZmJvz9/SErKwsHBwesX78e33//Pezs7CAtLY27d+8CeD/TzsvLw6NHj0Rei729PdLT0/Hs\n2bMmJflwFOL58+cbFK/9k/HfoP0J4O3tjSlTpuDPP/+sV6ouCenp6dDT04OLiwsOHDjAfly3b9/G\nwIED2Rdy8eLFOH36NN68eYMxY8YgODgYsbGxGD9+PB49eoTz588jKioKO3bsgKKiItasWYOBAwfi\n5s2buHLlCkJDQ0FE6NSpExwcHGBvb49+/frBwMCAtUympKQgPT2d8XFZWVlMJFNXcrq8vDyjtTiu\nmktN5/PVXJeEuEiGE8p8yvT0zx3V1dUixUp+94x4Co44982lvL9+/VpifQF47yzIiXK4vzo6OtDR\n0WGtmvLy8njz5g3u37+Pu3fvIigoCOHh4ew74+joiLFjx6K4uBi7d+9GeHg4RowYge+++w4LFixA\ncnIy7ty5gx9//BGXLl1CSkoKtmzZAi8vL7x58wbl5eXQ0tLCpEmT8Ntvv7HXdu/ePfTr1w+7du3C\n119/3aTzVlNTg44dO8LS0hK+vr4f9Rl8zvhv0P4EmDdvHnx8fJCXl/dBxVFOwr506VLs27cPUlJS\nKC0tZYkxCQkJWLlyJY4cOYL09HRoampizZo1ePfuHQ4ePIhvvvkGR44cQW5uLsaOHYsePXrA39+f\nzWgsLS0xatQojBgxArKysixTMC4ujhUZxTs71NXVGVfN8dZcJBZX/VZTU/us+Ov/66isrGSrH657\nJycnh7nFZWRksNscFQa8X+V06tQJBgYGIm2d7du3x927d+Hr64vAwEAUFxdDXV0d48ePh7KyMn75\n5ReUlJRgzpw5uHnzJgQCAU6ePMksWh8+fAhfX1/k5eVh06ZN2LZtmwgFcuPGDUyYMAHq6uqIiIj4\nIDXyokWLcPLkSbx58+YfWQtrDP4btD8BunXrBgMDA/j7+3/Q44VCIdauXYu9e/eymYiKigprhTp7\n9iyqq6sxffp07Nu3DytWrICrqys2b96MiRMnws/PD4aGhhgyZAhOnTqF3NxcWFtbw9HREe3atUNi\nYiLCwsIQFRXFBmdpaWkWV8X1l+rr67PuHHHfZD6ICBUVFRL5aD4nXVZWJtIGx2+PExfD8DdJ/DRf\nJCPJ/KmmpqbeoiN/ayz4FAq/KClenJQkxBE3m6qPB+cHLPCDFviS/IY4cT4v3rJly3qLpjU1NcjK\nymLCHK5V7dmzZ4iPj0dxcTHb19DQEFZWVjAzMwMR4eHDh/D390dFRQWmTp2KmpoanD17FmPHjoW/\nvz+cnJwQHh6Ovn37Ii4uDp06dcLZs2fZCs/HxwdEhKNHj2LBggUwMTHBtWvXoKWl1ejPhQ8vLy98\n8cUXiIyMhJmZ2Qcd43PHf4N2M6OkpAStWrXC1q1bsXHjxo86lru7O9auXQsVFRUsXrwYS5YswcCB\nA5Geno5Vq1bh+++/h5OTE65fvw5FRUVoamoiLS0NqqqqePPmDaqrq2FoaAgdHR0kJiYiPT0dwPv2\nIXNzc1haWsLCwgImJiZQV1dHYWEh83Tm89F80yZJRcSSkpKPFrXw+WluoOIPYpIGO0kDIp+35of1\n8m9L2hoCf4AXH/z5FwT+xULSRUU8IJjPhfP7vcX7vusLA24MWrRoIbGYKZ4Qr6qqyugtrh+8rKwM\nycnJiIqKQnh4OEJDQ1nhUklJCb1790ZNTQ1CQ0NRXV0NbW1tZGRkwNzcHJGRkbC1tWX+6c7OzoiI\niEBcXBzu3buHtLQ07Ny5E0+ePMGAAQNw6dKlJhW3xZGSkoLOnTvj119/xVdfffVR5+xzxScdtAUC\nwWoArwCoENEBsfv+lYN2QkICjIyMcOrUKXzxxRcffbzIyEjs2LEDPj4+UFBQwOzZs5GQkIBbt26x\n1JP8/HwmJ2/dujXevHmDtm3bMkc+dXV1dO/eHe3atYOioiKEQiFbJmdnZyMvL6/OQVdKSqpW/3Rd\npk18C1LOwEk8DV1SMZErCv6HusEVN8VFO5IKmXyTKnFenB/IIM6L15e4o6KiwgQhWlpaUFRUZPRL\ncnIyC7VVUVFBSUkJFBQUUFxcjBYtWkBFRYVd4GVlZdGmTRu4uLjg5MmTSElJgZGREb755htMnTr1\no+XfVVVVUFBQwIYNG7Bly5aPOtbnik9mGAWgL4Dv/3d7IwArsfvp34hjx44RALpz506zHjc+Pp5m\nzJhBAKhdu3ZkbGxcyyjov+2/7XPfNDU1ycTEhABQz5496eLFix8cKFIXOnToQEOHDv3XhkUDn8gw\nSiAQfA8gjohOCwSC8QB6EpEb7376kMigzx1hYWEwMTGBh4cH9u3bh5ycnGY9/ps3b5CTk4OioqIm\nZRH+h//wOUBKSoqJ6bS1tZt1hSUrK4svvvgC2dnZWL9+PczMzD4LK9XmRlBQUIMz7Q8twaoB4LS1\nFQBqxZSnpaWx2xyf9k/H0KFDUVNTAxsbG7Ru3Ro9e/Zs1uMTNb2A9h/+w+cCcb/y5hy0MzIyMHv2\nbBgaGmLevHlISkpqtmP/neBqSk1CQ1NxSRuAbQAm/e+2M/5HldC/nB65desWASAXFxd6+/Ztsx2X\nT49oamr+R4/8t/0jNw0NDUaP9OjRg3x8fJqNHhEKhXThwgWSk5OjuXPnNssxP0cADdMjHzrTvgrA\nEcAfAIwAXPvA4/yjwLUq9e3b96Oq4BwiIyOxfft2XLx4EQoKCli0aFGTC5Fqamro3r07KyAREStE\nZmVlIT8/v87uBG45yy9E8kUxDRUiuSKkuBMfvxApIyPzXyGyAdTU1Eh0D6yrEMnPzuQn5ogXIrli\n5Nu3b+t1GFRVVYWmpibr1W/ZsiUqKiqQl5fH2gOB94XI0tJSyMvLixQiuectKCiAQCCAq6sr8343\nMjLCunXrMG3atI8qRAoEAowePRrV1dVo3779Bx/n34APGrSJ6IFAIHAQCASzAbwhonvN/Lo+S3A+\nI3z/6Q8BEcHd3R1ff/01VFRUsH79eixZsgQODg5IT0/Hxo0bsW3bNgwYMADXrl2DiooK1NXV8eLF\nC6irq7PllKGhIXR1dZGYmIg7d+4AeN/yZ2ZmBnt7e1haWsLY2BgaGhrMsIZr+SsoKGA/6Ddv3rAf\nenZ2tohnSHFxcbO0/PH7kjk5unjLn7gsvTEtf+I91fW1/Ikv3/m3uX9zt8V7v+uTuEtq+RPvOxdv\n9+O3/H3s+W3RooVIx4+ysjI0NDTQuXNnkXY/8Za/tm3boqysDElJSazl7+bNm6zlT1lZGWZmZlBX\nV0doaCgKCwtrtfz17t0bGRkZqKysxNSpUxEeHo4tW7bg3r17SE9Px44dOzBr1iwcPXoUvr6+HzXZ\nefHiBYRCYZP8fv6N+GBZERF93/Be/y4oKirC0NAQISEhH3wMvrhm8uTJ+O2336CsrIwLFy4gISGB\niWuA9xz6lStXsGLFilrimmHDhuHkyZNITEyElZUVZs6cifbt2zNxza+//oqffvoJwPsZtbi4xsTE\nhMmbGxLXVFZWshkdX1jzIeKayspKkUGM39PMeXtw/66oqGhQXMPd5g+wRLVrA/zbHMQHdO7f4r3f\n/NviHif8i4mMjAzk5eXZ//EzK/neKeK5ltzKhH+bn/rObfwVDt97vCFxTWZmJtLT05GWloanT58i\nOTkZSUlJiIuLE8nx7NatG4YNG4bevXuDiPDgwQNcuXIFFRUV+OKLL1BZWYlz585h3Lhx8PPzw9ix\nYxEaGop+/fohLi4Oubm5ePjwIXR0dODu7g4fHx84OzszcU3//v0/SlzD/e7Mzc0/6PH/Fvwnrmki\nPgcZ+9GjR/Hq1SuMGTMGvXr1gr+/P6KiogC8l7GPHDkSTk5OkJOTYzL22NhYJCUlITk5uZaMXU1N\nDR06dGCbtrY2k7FzXudqampNTlb5D58OFRUVTMbOmXvl5OQgOzubechwFJm4jF1HRwedO3eGsbEx\nk7G3a9cOd+/ehZ+fH5Oxa2hoYMKECWjVqhWTsc+dOxfXr1+HtLR0k2TsAQEBGD9+/H8y9gbwnyLy\nE6A5DKMWLlyIn3/+ucmGURMmTEBUVBTOnz+PR48eYfv27VBUVMTq1asxePBgBAQE4OrVqwgJCWHm\nPwMGDIC9vT3s7e1hYGAAABINozIzM5lnRV5ensTXLycnJ2IYxaWpc6o7vhKvPoGOvLz8/9nBv7q6\nWiIfLW4YxeejxQ2jCgoK6jWM4hLcOS8ZvmGUrq4u5OXlUVBQwAyj7t69W8swaty4cSgqKsKePXsQ\nHh4OJycnbNy48T/DqE+M/wbtT4DPyZp1zJgxWL16NQICAqCgoIAvv/wSS5cuhbq6Oi5fvoyrV6/W\nsmY1MzMTsWbt0qVLrRVDVVVVg9asr1+/Zu1KnIF7Yz9zgUDQoDUrP1KsPmtWPv/NURb18dwcJFXl\nG7Jm5fPT3F8+9cOnhvhFRH4hkT/rbQgtW7YUSf3hXzD51qzq6upsZSQp2SUnJwcxMTGIjo5m1qzP\nnz8H8P5CbGVlxaxZdXR0cPz4cezfvx9paWn/WbP+xfhv0P5E+LtCEL7//nssWLAAixcvxrlz52Bt\nbY2TJ0+ioqIC+/fvx8mTJ1FeXg4LCwsWgtCmTRskJCQgODgYERERLASB83VWUFCQGIKgr6/f5BCE\n0tJSNkMUL2byZ5aSOHHxEISKigoRHlzcv4MbTLnb3EDbXOAGffEiKb+IWl8IAp+TlpeXl8hHcysP\n8SIit1JpCgVQWVnJArC5AAQuBCE3N5ftp6OjwzzV+/btCysrK8jIyODmzZssBKGyshL29vZYsWIF\nhg4dik2bNmHv3r0wMDD420MQsrKymjTY/9PQmEH7kxFDjY0b+5Rx9J8K69evx7Fjx7Br164mxY0V\nFBSgS5cute4zMDBAUVER8vLyoK6uDlNTU/Tt2xe7du3C/PnzsX37dmRmZmLDhg1o2bIlzp49i3Hj\nxsHFxQW9e/fGqlWrsHPnTmzfvh2nT5/GsWPHsGTJEqxYsQL9+vVjcWNfffWVSNzYkydPWORYcHAw\nTp8+LfK62rRpAz09PRY11qlTJ5EMz3bt2jGeW0pKig08f1dLlqRuD0lFSQ78GbgkZ7/PBRUVFcjN\nzRUJVX758iWLG0tPT8fLly9F3qOqqioMDQ0xcuRIFjfWs2dPkbixGzduYN68ebh+/Tp8CdVwAAAg\nAElEQVSLG3NxccHs2bPRs2dPXLhwAZaWloiPj8fChQuxZ88epKWloX///lBSUsKNGzegpKSEjRs3\noqamBosWLWLP//z58zq/69zzNxYPHz5EQEAAfvjhh3/kgE1EzLCtvrgx8ZDguvDJBu07d+40KtGk\nbdu2zLOZnzbdoUMHFk2vpaX1WQX76ujoYPLkyTh58iS2bt3aqGDf8vJy1NTUSOzU6N69OwAgKioK\nw4YNg0AggJubGwYPHgx3d3ds2LABx44dQ0VFBVauXInKykqsXbsWdnZ2WLFiBbZu3Yp9+/Zh1apV\nWLVqFZYvX47o6GgW7LtmzRqsWbMG2traLNjXwcEBX375pcjrKC0tRVJSkkiwb2pqKpKSkhAYGFhn\nsC+XOl1XsC8/KEFVVRVKSkpo2bJls/PaXHfH54qKiopawb5v375lrov8YN/8/HwWCitJMScrK8uC\nfe3t7dG5c2eRYF91dfVawb4PHz5kwb5RUVEs2JfjsLlgX19fX0yfPh2xsbHo1q0brly5IhLsKycn\nh1u3bkFHRwfx8fH49ddfMXPmTJYPWV1djcePH2P48OG1XreioiIANHqAAgAPDw8oKSlh/vz5TT3l\nnxREhLdv37K6EL/4yw/2zc3NrTexiOt3b+zK9pPTI0KhEEVFRbUSp/mVb87InQstFe9ukJGRga6u\nLgwMDNC5c2cWWGpiYlIrdfqvQkxMDHr37o3Fixdj//79De5PRNDR0YGFhQV8fHxE7ispKYGOjg5s\nbW3h5+fH9p86dSq8vb1x6dIljB49GpWVlZgxYwa8vb0xZMgQeHp6omPHjnjy5Anc3Nzg4+ODVq1a\n4YsvvoCLiwtMTU0BvC+AXr16Fbdv30ZgYCAKCgoAAB06dECfPn3Qp08f9O7dG6ampvVW9QsLC9ls\nLzMzk5nvc19Mfoq4+GcoDv7MnF+w5GgEvpMgn+/me0/z/an5FAaf2xafQfM/D/GZOUez1NVjzW9j\nFBfASHLhE0+lqaysrPecSEtLs4sex1VramqyjZvUaGlpQVNTs87VQEVFBWJjYxEdHY2wsDCEhITg\nyZMnEAqFkJGRgY2NDRwcHDB8+HBYWVlBWloa+fn5OH78OA4fPoykpCR07doVmzdvxqRJkyAUCrFj\nxw5s3boVWlpaCAgIQLdu3ZCfnw9ra2uUlJQgIiIC2traAIBz587B2dkZPj4+GDdunMhr43zjg4KC\nYG9vX+/5AP5/qO+3336L7du3N7j/p0BpaSni4+MRGxuL+Ph4JCcnM19y8YmMtLQ02rVrBy0tLZEQ\nEW5Cw/XHc8yDqqoq5OTk2OP/kZw20fvk4oyMDLYETEtLQ0pKCusv5V+l1dXVWXHNwsICNjY2aNeu\nlhXKJ8HixYtx+PBhREZGolevXg3u7+LiAi8vL+Tn54t8UACwefNmuLm5ITo6mh2rtLQUAwYMQFxc\nHO7cuQMLCwsQEQ4fPow1a9ZAWloa+/btw6xZsyAQCBAZGQkPDw+cO3eOBfw6Oztj8uTJ7AclFAoR\nHR2Ne/fuISQkBKGhoUhJSWGvQ1tbG927d4exsTFrCevSpUuTW7TKy8tFloBcsfLt27ciXRL8gY3j\nu7lBT5zv/ljf6eaGJN6av3EXolatWjHLWyUlJbbi4P5yK5KmJgOVl5fj+fPnSEhIwNOnTxEfH4+4\nuDjEx8ezgqeKigqsra1hbW0NGxsb9OvXjxUry8vLceXKFZw7dw5+fn6oqKiAra0tFi5cCGdnZ8jI\nyODp06eYPXs2IiIiMG3aNHh4eKBNmzYoKSmBo6MjwsLCEBQUBGtrawDvuzzMzMxQWVmJ2NjYWheW\nuXPn4sKFC8jPz2+Qs6+uroa1tTVevXqFhIQEiUXW5kZZWRkLwI6IiEBkZCSSkpIYWyAjIwN9fX02\ngdTT02OMgLa2NjQ0ND5qtfePHLQbAtH7jEOu/zgmJgaRkZF4+vQp+1F37doV9vb2bDbRpk2bT/Ja\nCgoKYGRkhNatWyMsLAzKysr17n/9+nU4OjrC09MTc+bMqXWsLl26QFtbGw8fPmQ0SnZ2NmxsbJCX\nl4cTJ06wyvnz588xe/ZsBAcHw8LCAtu2bcPQoUMhEAjw5s0bnDhxAsePH8ejR48gEAhgb2+PcePG\nwdHREV26dBEZHPLy8vD48WNER0cjOjoasbGxSEhIEHEabNOmDStQclmDnTp1QseOHaGtrd3ge28O\ncIIb8SQc/qyYS2aXlHAjDn53ifgMna/UFE+akZeX/0vk+ZWVlYy/fvnyJdLS0pCamorU1FQkJyfj\nxYsXbDARCATQ1dWFsbExevXqBVNTU5iamqJz584iA+fbt29x8+ZN+Pv749KlSygqKoKGhgYmT56M\nBQsWMKouPT0dW7ZswfHjx9G6dWscOnQIEydOBPBemThmzBjExMTAy8sLU6ZMYcd3dXXFli1bcObM\nGTg7O4u8n7y8POjr62Ps2LE4efJkg+9/7dq1cHd3h7e3NyZNmvTR51MSqqqqcP/+fdy8eRN3795F\nWFgYWxF17NgR5ubmMDU1ZRMZAwODT1qH+2R+2g1t7w/716K0tJQePHhAe/bsoVGjRpGqqioBICkp\nKerbty/t2rWLUlNTm/1579y5Q9LS0jR+/PgGPX6FQiFZWVmRtrY2lZWV1br/+vXrJBAIaMaMGSLH\nys7Opj59+hAAcnNzYyY8NTU1dOTIEdLR0SEA1K9fPwoICBB5bGJiIm3evJmMjIyYsY++vj4tXLiQ\nzpw5Q5mZmRJfa3V1NSUlJZGfnx/98MMP5OLiQoMGDSJ9fX2SkZGpZRakpKREhoaGNGDAAJo6dSqt\nXLmSduzYQb///jv5+vrSvXv3KD4+nnJzc6mqqupDTvU/HkKhkAoLCyklJYXCw8Pp+vXrdOrUKdq7\ndy998803NGfOHHJ0dCRTU1PS0NAggUAg0ZTJ2tqapk2bRq6urnT69GkKDw+nkpISic9ZWlpKgYGB\n5OrqSn379iVpaWkCQKqqqjR79mwKCAgQ+TxSUlJo8eLFJCsrS3JycrR8+XLKzc1l9wcHB5O6ujop\nKyvT1atXRZ7rypUrBIBmzZol8bewYsUKkpKSovj4+AbP1fnz5wkALVq0qLGnt9EoLi4mLy8vmjJl\nCqmoqBAAkpGRIWtra1q7di35+fnRq1evmv15GwM0wjDqHzfTbiyEQiEiIiLg7+8vEnxra2uLadOm\nwdnZ+YNUWZLA9Vn/+OOPWLFiRb37BgYGYvDgwVi9ejVrj+Jjy5YtcHV1xcaNG7FlyxY2mysvL4eL\niwuOHz+OoUOH4uDBg+jcuTOA9zMyT09PbNu2DVlZWejWrRuWLFmCL7/8UsRzODU1FdeuXcPVq1cR\nFBTE8gENDQ1ha2sLa2tr9OnTByYmJvUuXaurq5GZmcmKL9yWnZ3Nuhtyc3NF8gfFoaSkxDg9Lhar\nLrMqjm4QT8rhy7/53Dbfv0Tco4QDSeCzxT1DOC6b33/N8dfc37qEMnyBDCeOefv2bZ0Uj6ysLNTV\n1aGlpcU2ThzDFRx1dHRYIU8SiAiZmZkIDQ1FSEgIQkJC2MxRIBCgd+/ecHR0hKOjI6ytrdlnTET4\n888/4eHhAX9/f0hLS2Pu3LnYsGEDa2ktLy/Hrl27sG3bNujp6cHPzw/dunVjzx0SEoJhw4ZBX18f\nDx48QIsWLUReW0hICPr374/p06fD09OzzvcAvE+IsrW1hYGBAe7du1eLSvwQVFdX48aNG/Dy8sKl\nS5dQWloKTU1NODk5YeTIkRg8ePBn4c/9r6RHPhRpaWk4c+YMzpw5gydPnkBBQQHTpk3D0qVLWcHu\nQ1FTU4NJkybh0qVL+OOPPxps/uek7EePHsWsWbNE7hMKhZg/fz48PT3h4uICDw8PkR/XL7/8gq+/\n/hpVVVX4+uuv8c033zAqpby8HH/88Qf279+PiIgItGrVCuPGjcPUqVMxePBgkWVddXU1oqOjcefO\nHQQFBSEkJISJcBQUFNC9e3f07t0bPXv2ZFLnphZ9y8rKWLGZKz5zij4+182PxuL3dv/TIC8vz3qu\nOe6a67sWb3tVV1dnRSlNTU2oqKg06dyWlpYiISGBtW4+evQI0dHRTM0qJycHMzMz2NnZwcHBAXZ2\ndrU87ePi4thv4vnz51BXV8f8+fPh4uLCaiAAcPnyZaxYsQIpKSlwdnbGwYMHRTqm/P39MWXKFGhp\naeH27du1tAsvXryAlZUVFBUVERYWVu9kKScnBzY2NigtLcXDhw9ZR8qH4vXr1/D09MSBAwfw4sUL\ntGnTBhMnTsS0adPQr1+/z6q1E/hv0K4TMTExOHToEE6cOIHS0lL0798f33zzDWu3+xCUlZVh0KBB\niIqKwpUrV+qVuFdVVcHR0RF3797F1atXMXjwYJH7hUIhNmzYgJ07d2L48OE4deqUyBc9KysLX3/9\nNU6fPg0dHR1s2rQJM2bMYIMyESE0NBS//fYbLly4gMLCQqipqWH06NEYM2YMhgwZUmsmRERISUlB\nSEgIGwAePXrEOk2A97x2165d2WZgYAA9PT3o6elBTU2tWTleoVCI8vJykRR4/iyXrzwUd8/jqxj5\nM2lx8GfgfGWleHI6PymdP9tv0aKFyEqguf0wSktLWRE+JSUFz549w7Nnz5CUlIT09HTGZ8vJyaF7\n9+6My7a2toapqWmtnmYiwqNHj+Dr64tLly4hJiYGUlJSrP1z8uTJUFBQYPuHhYXBzc0N165dg5GR\nETw8PES+10SEH3/8EWvXrkXv3r3h7+9fqwng9evXGDRoEFJTU/Hw4UMYGxvX+X5fv36NoUOHIiEh\nAUFBQbCwsPjgc5eamoo9e/bg6NGjKC8vx4ABA7B06VKMHDmyWWbunwr/pzjtD0FBQQG5u7uTtrY2\nASAzMzM6f/78Bxu35+XlUffu3UlWVpZ8fHwafO7u3buTnJxcnfsePnyY5OTkqEOHDhQYGFjr/qCg\nIDIzMyMApKOjQ4cOHaLy8nKRfcrLy+nSpUvk7OxMysrKBIBatGhBo0aNon379tGTJ0/q5OKFQiFl\nZGTQzZs36aeffqIFCxaQg4MDO1/8TVFRkbp160ZDhgyhOXPm0KZNm+iXX34hX19fCgsLo7S0NCot\nLW3kmfx3o7q6mnJycigmJoYCAgLo+PHjtGPHDlq6dCmNHTuWzM3NSV1dvdY5VlZWJgsLC5o6dSpt\n2bKFzp8/T3FxcVRZWVnnc+Xm5tLZs2fpq6++oo4dOxIAEggEZGdnRz/99BNlZ2fXekxwcDANHTqU\nAFCbNm3I3d291nNkZ2fTyJEjCQCNHTuWiouLax0nIyODjI2NSV5enm7cuFHvOcnMzCQjIyOSl5ev\nxZU3BXFxcTRjxgySlpYmOTk5mjdvHsXExHzw8f5q4O/ktK2srJipOsfJcao6bW3tz8qlq7KyEqdO\nncLOnTuRlJQEc3NzuLu7Y8CAAU0+1ps3bzBixAiEh4fj9OnTIpV1cRQUFMDJyYlZqc6dO7fWPlFR\nUXB2dkZSUhLmzp2L3bt3i3TDEBGuXbuGrVu3IiQkBOrq6pg1axbmz5/P1Gf89xkUFARfX19cv36d\n+U9oamrCzs4Otra2sLOzg5mZWYOzkZKSEtbJkJKSgrS0NBGV3qtXrySKqpSUlFi/qpqaGhPf8M2n\nOBk3x3ErKSmJ9HD/nd8dbgXA8dlcD3ZdPDa3cUo47q+kc6OsrMx+JxyHra+vDz09Pejr69cSzIiD\n/rdaun//Ph48eID79+/j6dOn7NgDBw7E6NGjMXLkSKirq4s8tri4GGfOnGEtrBoaGli9ejUWLlwo\nwvUKhUIcO3YMq1evRllZGfbs2YMlS5bUel1JSUkYMmQICgoK4OfnV+9v6eXLlxg4cCBycnLg7++P\nD8mXzcrKgqurK44cOQIFBQW4uLhg1apV6NChQ5OP9alARHj9+jX7rbx8+RIZGRnIzMxkgpxnz579\nffTI0KFDkZWVhczMzFqSVWlpaWhrazPBDF8007VrV5El2l+JmpoaeHl5Yf369cjIyMDgwYOxY8eO\nJi/T3r17BycnJwQHB8PV1RWbNm2qkzsrKSnB+PHjERAQgIULF+KHH36oRV2UlpZi8+bN+OGHH6Cq\nqootW7Zg3rx5IgMrEeHWrVs4cOAA/Pz8UFNTg0GDBmH69OkYN26cRLVVeno6AgMDcfv2bTx48ID1\na8vJyaFnz56wtLSEubk5evXqBWNj43p9t8VRXV3NBFPZ2dlM3cfnt/Pz80WkvI31DpGVla1VkOR7\ngPDNpJpaiOQbQXGbeL94Y9GqVSt2MeIrRTnRjIaGBjQ1NZlgpr4ioziEQiFSUlIQExODqKgo1lfM\nJRqpqKigT58+sLe3x6BBg2Bubl7rYldTU4O7d+/izJkzOHv2LN69e4fu3bszKbv45x0SEoKVK1ci\nJCQE9vb2+PXXX2FoaFjrtZ0/fx7z5s2DrKwsrl+/Xq//dXBwMCZNmoSysjJcv34dNjY2jT4HwPuJ\nz/bt23HgwAHU1NRg8eLF2LBhA9TU1Jp0nOaCUCjEixcvkJCQgOTkZLalpqYiLS0NpaWlIvvLy8uz\nyW379u3h7e39eXDaJSUl7MrCiWU4ru758+csKeN/j4Wenh6MjY3Rs2dP9OjRAz179kTXrl3/shlW\nWVkZDh06hB07diA/Px+zZs3Cjh07miTaKSsrw8KFC3H8+HGMGjUKp06dqrOXuaqqCuvXr4e7uzuM\njIzg5eUlsTgaExODZcuWISgoCLq6uvjuu+9EuGwOWVlZ8PT0xJEjR5CWlgZ5eXmMGDEC48ePh6Oj\nY52FoJycHNy/fx9hYWEIDw9HZGQkEzIJBAJ06dIFxsbG6NatG4yMjBiv3bZt24/ms4VCIZutcjNV\ncdMpTnhTUlIiokSUFLLAmUnxB2VxiHPa/I27CHA8dl0CGq7wqKioyFYJ3N/m6OctKytDSkoKkpKS\nkJCQgPj4eKbO4wYAaWlpdO/eHRYWFrC0tIStrS1MTEwkThS4vmRfX194e3sjKysLioqKGD9+PBYs\nWABbW9tan2V4eDhcXV1x7do1aGpqYteuXZgxY0at47979w7Lly/H0aNHYWVlhXPnzom4WfJB/yuq\nL1u2DHp6erh06VK9fLc4qqurcfjwYWzatAlv377FjBkzsGnTpo8uXDYF2dnZePz4MfPwiY2NRWJi\nosjArKioyCwG9PT0oKury8Q4HTt2rFUL+sdw2kVFRRQVFUVnz54lV1dXmjJlCnXv3l2kH7hFixZk\nY2NDixcvpuPHj1NiYmKDfdEfi6KiIvr6669JVlaWWrVqRVu2bKmzH1YShEIheXh4kLS0NBkaGlJ4\neHi9+wcEBJCWlhbJycnR5s2bJfZyC4VCunr1KllYWLCe6/3791NRUZHEfR8+fEjLli2jdu3asb51\ne3t72rVrF0VFRdXL39fU1NCzZ8/owoUL5OrqSuPGjSMjI6NafdoqKipkZmZGEyZMoNWrV5OHhwf5\n+vpSZGQkvXr16pN/Tv9kvHv3juLj4+nmzZt05MgRcnV1pZkzZ1L//v0l1g7at29PAwcOpOXLl5On\np2e9PdocMjMz6cSJEzR16lSmX5CTk6MxY8bQ2bNnJfLRQqGQbty4QY6Ojozb3rlzJ717907ic1y/\nfp309fVJIBDQhg0b6uXZ3759y4KsnZycmhSSLRQKyd/fnwUIOzg4/CWcdX5+Pl25coU2bdpETk5O\n7PfEbdra2jR8+HBauXIlHT58mIKCgig7O7vJ33380/u0KysrkZCQgMePHyMyMhJRUVF49OgRawdr\n27YtbGxs0L9/fzg4OMDU1PSTGAYlJSVh3bp1uHjxIrS1tbF79244Ozs3enZ5584dTJ8+Ha9evcJ3\n332H9evX17lqyM/Px9KlS3H27Fno6upi9+7dmDhxYq3nIiL4+/vj+++/R2hoKJSUlDBnzhwsXLhQ\n4pKV61u/fPkyLl++jMePHwN4fw4HDRoEe3t72NnZoUePHg2ew6qqKjx//pyZS3FeDNwKSpxCkJWV\nZX4MWlpazI9BQ0OD8dqc62Pr1q2hrKz8WdU8GgsiQnFxMcvd5HzHORMozqOFS5jJzs6u5V0hEAgY\ndainp8foQy4urjHK08zMTNy/fx/37t1DYGAg4uLiALy3fHBycsLo0aPr7EsuKirC6dOnsX//fiQk\nJEBDQwPLli3DsmXLJO6fmJiINWvWwN/fH127dsXvv/+Ofv361fnabt++jVmzZiEzMxMbN27Ed999\n1+jfbFxcHFauXImAgAB06dIFO3bswPjx4z+JMjUjIwO3b9/GnTt3cO/ePRZuLCUlBSMjIxFf+h49\nejTKNK4x+Fe2/NXU1CA+Ph4PHz5ESEiIyAlVUVHBwIEDMWzYMAwdOhR6enrN+tzBwcFYsWIFoqKi\nYGdnh71798LKyqpRj33z5g2WLFkCLy8vWFhYwNPTEz179qxz/9u3b2PFihWIiYlhNq22trYS9w0N\nDcX+/fvh7e2N6upq2NjYYObMmZgyZUqt3lwO2dnZ+PPPP/Hnn38iMDAQmZmZAN4XrCwtLWFpaQkr\nKytYWFhAW1u70T8MIsKrV6+YdwxXaOEGqZycHGYuVR+HLe4tLZ6Aw2+746gLSby2eAgw/3XyAw/E\nDaL4LYV8/2++kKakpARFRUXMS6WwsLBefxRVVVWRwALuIsYVHrnEmaa0pL179w6PHj1ilFZYWBjS\n0tIAvA9RsLOzw5AhQzB48GD06tVLImVSU1ODwMBAHD9+HBcvXkRZWRnMzc2xfPlyTJ48WaId6qtX\nr7Bjxw4cOHAALVq0wHfffYdly5bVaZ1aVFSEjRs3wsPDA126dMHJkyeZX0lDyM/Px5YtW3Dw4EEo\nKSnBzc0NixYtalY5eVFREe7cuYMbN24gICAAycnJAIDWrVujb9++sLGxgY2NDSwsLD6pB8q/ctCW\nhKysLAQFBeHWrVsICAjAixcvALz3IBk9ejRGjx4NW1vbZpmF19TU4Pjx41i/fj1evXoFZ2dn7Nix\no07uThx//PEHFi1axAZxNze3OgfWmpoaHDlyBBs3bkRubi4GDhyIjRs3YsCAARIH0ezsbJw6dQrH\njh1DXFwc5OTkMHToUEycOBGjR4+uczZARHjx4gXu3buHe/fuISwsDDExMcx0qG3btjA1NUWvXr1E\nzKQ+RkEmFApFUnC4lHjxhHhxYymuY4MfJtyc4QeSwCXrKCgoiFw4FBUV2UVFSUlJYvI5t6mpqX2U\nF3R1dTWSk5NFPHeio6PZ4AK8twy2tLSEnZ0d7OzsYGpqWufAVl1djbt37+LChQvw8fFBTk4OVFVV\n4ezsjFmzZsHKykridywjIwN79uzBr7/+isrKSsydOxdbt26FpqamxOchIpw5cwZr1qxBTk4OFi9e\njJ07dzaq6FpRUQEPDw9s27YN7969w/z587F169ZmKzKmpKTg8uXL8PX1RXBwMKqrq9GyZUsMHDgQ\ngwYNwoABA9CzZ8+/VIDzj+G0mxNCoZASEhLop59+omHDhpGsrCwBIDU1Nfrqq6/o5s2bzeJ9UVRU\nRBs3bqQWLVqQvLw8ff3111RYWNiox75+/ZpcXFxIIBCQmpoa/fLLL1RdXV3n/sXFxfTDDz8wHs3G\nxoa8vb3rfB9CoZAiIiJo5cqV1KlTJ+at4ODgQHv27KGnT582yLWVlZVRSEgIeXh40Lx588jS0pIU\nFBREeLwOHTrQgAED6KuvvqLdu3fT+fPnKTIykgoKChp1HpoDQqGQKisr6d27d/T69WvKzs6mly9f\nUkpKCiUmJlJCQgLFxcXRkydPKCYmRmSLjY2l+Ph4SkhIoOfPn1N6ejplZmZSbm4uFRYWUnl5+Qf3\n7H8IysvLKTExka5du0YHDx6k1atX06hRo6hbt27se8xtBgYGNGHCBNq6dSv5+/s3yisjPz+fTp8+\nTV988QWpqakRAGrZsiVNnDiRvL29JdZQODx+/JjmzJlDcnJyJCMjQ7Nnz6Znz57V+3zh4eFka2tL\nAMjCwoJCQ0MbdR6EQiF5e3uTrq4uASBHR0d6+vRpox7bEBITE2nr1q3Uo0cPdi5NTExo3bp1dPv2\n7Vo6h78aaASn/aGDsgKA9QDW1XH/X/QWG8b/a+/Lg6O6rvS/p9a+77uE9gWtgEACsRoYFtvBNpi4\nHBLHS5zJJDOJk99kczIp12Sr1EwmmalMxkkcL3G8xBizG4wRCLMjAUIIJKEVLWjfpdbS3ff3h3xu\n7nv9utWSWuoW7q/qVreEgFb3e+eee873fae/v5+999577Mknn2Te3t4MAAsKCmLPP/88Ky4unvVN\n2dTUxL70pS/xjeE///M/LRaRlJaWsjVr1jAALD09nf3tb38z+3pGRkbY//zP/7D4+HgeNF966SXW\n1NRk8u8YDAZ2+fJl9r3vfU92ocbExLCnnnqKvf7662b/vggykTpw4AD7+c9/zp566im2atUqHgDE\n5evryzIzM9n27dvZV7/6VfbSSy+xP/7xj+zIkSOspKSENTc3m21W3U/Q6/Wsq6uLVVRUsJMnT7I3\n33yT/epXv2Lf+ta32OOPP87y8/NZRESEkUGUu7s7y8zMZI899hj7/ve/z9544w1WUlKi2jhUw9DQ\nEDt+/Dj73ve+x/Ly8vi/HxwczPbs2cPef/99s03MkZER9tZbb/Fr1MPDg33ta1+b0nitoqKC7d69\nmxtc/elPfzKblIj4+OOP2YoVKxgAlpWVxT766COL/p45NDQ0sJ///OcsOzubv7eFhYXs17/+Naup\nqZn1v29NWBK0Z1wekSRpM4BVjLGXVP6MvfHGG3z6c1RUlF1o/LVaLT788EPs3bsXBw4cwMjICGJi\nYvDkk0/i6aefVm3gWYqSkhL88Ic/xIkTJxAVFYV/+7d/w9NPPz1l3Y0xhn379uFHP/oRKisrkZGR\ngRdffBG7d+82Wc7R6/U4cuQIfve73+Gjjz6CJEnYtGkTvvzlL+ORRx4xy6duakmqs2MAACAASURB\nVGrChx9+iBMnTuDUqVOc1xsXF8fFNQUFBcjMzJxWbbWvr4+Lberr6/k0DxLbkK+JEkoOsyi2ESl0\nyunu4qCEuZruzhiDTqczGnAg0hDJM0U56KOnp0cmqFEb6Ovp6Yno6GjExsZi0aJFiImJ4bYACQkJ\niIiIsPi+YYyhsbERly9f5sKa69evQ6fTwcXFBQUFBdi4cSO2bduGvLw8k/8uYwwXL17E66+/jnfe\neQf9/f1ISEjA1772NTzzzDNmbY5v3LiBn/70p9i7dy88PT3xwgsv4F//9V8tap5eunQJP/zhD1FU\nVISYmBh+/8y0pDkwMIB33nkHb7zxBs6dOwdg0izu8ccfx65du2TeKrZEb28v53A3NDTgO9/5ztzV\ntCVJWgdgvamgLX7t6uqK+Ph4JCYmIikpCcnJydy/IjY21iYBfWhoCAcPHsRf//pXHD9+HHq9HoWF\nhbyBN1N/6NOnT+OHP/whLly4gKSkJPzoRz/Ck08+OWXw1uv1eO+99/Dv//7vuHXrFlJSUvDtb38b\nX/ziF80G4bq6Ou6d3dDQAC8vLzz00EPYvXs3tm3bZiTUEWEwGFBeXo5Tp07h3LlzOHfuHO7duwdg\n8jPLycnhHXLyFJ6OwEbE2NgY2tra0NrayifeiJPelbPzlANhp4LoESL6hiin2BAYk0+rMTWhZjr3\nh4eHh9EsVNqMxAk0JKSg+ZrThcFgQG1tLfc/J3ENbYweHh5YsWIFCgsLsWbNGqxZs2ZKd8DS0lK8\n9957eO+991BfXw8PDw/s2rULTz31FDZs2GA2yJ85cwa//vWvcfDgQfj4+OCf//mf8cILL1hUey4p\nKcFPf/pTHDhwACEhIXjxxRfx1a9+dUYCO4PBgFOnTuH111/H3r17odVqkZ6eji984Qt48sknrU5M\nsBQ9PT3cN4a8Y2pra1FbW6s6Sm7WQVuSpB8ASFF8ez+APpgJ2t/4xjd4Q8nHx4fTxGpqamQObh4e\nHkhNTUV6ejoyMzORlZWFrKwsLFq0aN7GiN27dw9/+ctf8Oqrr6KyshKenp54/PHH8eyzz2L16tXT\nfh2MMRw5cgQ//vGPcf36dcTFxeG73/0unn766SkvRoPBgH379uEXv/gFrl69isDAQDz//PP42te+\nhtjYWLN/j9Rt+/btQ1dXFzw9PbF582Y89NBDePDBBxERETHl66ZsraSkBFeuXMHVq1e5wMbJyQkJ\nCQnc9Y8ENsnJyVYfNKHX63kTkpZofSpmv6OjozzIktCGlnIggggxmItT1mkDEKeqU1ZPk2iUghpf\nX1+rD50dGxtDbW0tqqurUVVVxZuQt2/flglrFi9ezBk/eXl5yMnJmTJJGB0dxalTp7h18d27d+Hs\n7IxNmzZh9+7d2Llzp9nERavV4t1338Vvf/tbXL9+HUFBQfjGN76Bb37zm1PS3xhj+OSTT/Czn/0M\nH330Efz9/fGd73wH3/rWt2bEzGhubsarr77KxWR+fn7YvXs3nn32WZMN1blAX18fysvLUV5ejps3\nb/IpQh0dHfxnNBqNbHQi+1TaTs3rX/3qV7bLtE39u4wxtLW14c6dO6iqquIKr1u3bnHWBzBJPcvN\nzcWSJUs4JzItLW1OB7cyxnDlyhW88sorePvttzE4OIi0tDT84z/+I774xS9OOzBR8P7Zz36Gixcv\nIiwsDN/+9rfx1a9+dcohnowxnDt3Dr/5zW/wwQcfgDGGbdu24fnnn8f27dvN3pQ6nQ7FxcXYt28f\nDh06hKamJgBAbm4uNm3ahM2bN2PNmjVms3DxdTQ0NPDJNhUVFbh16xaqq6tlR/7AwECTyq/Y2Fi7\n8Cq2N9BkGiojNTY2ci+Xuro6NDU1yZgxUVFRnLmTk5PD7QUsyUoZY7h58yZOnDjBp7SMjIzwjX3H\njh3YsWPHlNf4zZs38cc//hFvvPEG+vr6kJmZiW9+85v4whe+MOX1ZDAYcPToUfzyl7/EuXPnEBoa\nihdeeAH/9E//NO2TrV6vx/Hjx/H73/8eR48ehcFgwMaNG/Hss8/i0UcfnXMrjLa2NpSUlHDtyNWr\nV2Xxy8/Pjyc2ixcv5hYd8fHxZu/dOaX8SZK0HsC66QZtcxgYGMDNmzdRXl6OsrIyXLt2DWVlZXxI\nrJeXF5YuXYoVK1agoKAAK1eunDNDmOHhYfztb3/Dyy+/jEuXLsHNzQ2PPvoonn/+eZOUO1NgjKG4\nuBg///nPceLECXh7e+Ppp5/Gv/zLvxiZOqmhsbERr7zyCl555RW0trYiNDQUn//857Fnzx4sX758\nShOh8vJyHD58GCdOnMC5c+cwMTEBFxcXrFixAmvXrsXatWuRn58/LYHA+Pg46uvrZcc+CjiNjY1G\nNVwfHx9ERUUhKioK4eHhCAsL44NPqYxApQRfX1+76IFMF4wxaLVao6nqnZ2daGtr4yWhlpYWtLS0\nyDIwQnh4OK9pJyQk8Js9JSXF4mndwKQA6saNG/jkk09w5swZfPLJJ7x8kpaWhk2bNmH79u3YsGHD\nlAHu3r17eOedd/Dmm2/i6tWrcHV1xc6dO/GVr3zFonthaGgIb7zxBn7729+iuroasbGx+O53v4tn\nnnnGosRBRGNjI/70pz/h1VdfRUtLC0JDQ/Hcc8/h2WefnTMJOw0uJm1ISUkJ1zVIkoSUlBQsWbIE\nOTk53HpjOtoGEXMWtCVJ0gD4LoBcAF9ljPUp/nxGQVsNer0eVVVVKC0txZUrV3DlyhVcu3YNY2Nj\nAIDY2Fhet1u7di3S0tKsfhy6fv06/vznP+Mvf/kL+vr6kJycjOeffx5f/vKXp80ZvXbtGn7zm9/g\n7bffhk6nw7Zt2/D1r38dW7dunTJQ6XQ6fPjhh3jjjTdw6NAhjI2NITk5GY8//jh27tyJJUuWTPm7\nDw8P48yZM3z4QUlJCReEpKeno6CgAMuXL8fSpUuRnZ097ZsKmPzM7t27xzPIu3fv8kBFU9zb2tpM\nTmx3cnLijn+0lFNtRP8PpXGUNWra4rT1kZERmbCGnP1IUEN+Kb29vfy6VEKj0cgMokQHzEWLFnEv\nipn0DKjGTbVtCiykTI2Pj8e6deuwdu1abNq0yWhIgRra29vxwQcfYO/evTh16hQMBgPy8vKwZ88e\nfOELX7Dour9z5w7+93//F6+99hr6+vqwfPlyvPDCC9i1a9e0hDE6nQ6HDx/GH/7wBxw7dgwAsHXr\nVjz77LN4+OGHre6P3dXVhU8++YRveNevX+f3SHJysqwUlZuba1WxzX0rrhkbG8P169dx8eJFnDt3\nDp988gna2toATNqMrl+/Hhs2bMCGDRuMhtjOBlqtFnv37sXLL7+Mc+fOwc3NDY899hieffZZs80a\nNdy7dw+///3v8Yc//AHt7e2Ij4/Hc889hy996UsWdbb7+/vx/vvv46233sLp06eh1+sRFxeHRx55\nBA8++CDWrl1r0cU8NDQkG08lTrDRaDRIS0vjR/Hs7GwsXrwYMTExs35PGWMYHByUNSI7OztlDAwy\njlJOtRkcHIRWq51zUY0SJK5Rm07j5+fHG5C0QkJCEBwczKfUWOP00N/fz6fV3LhxA2VlZSgrK+Ny\neJpYU1BQgIKCAqxatcqiIM0YQ2VlJY4cOYKDBw/i7NmzYIwhOTmZn+osYVeNjo5i//79eOWVV/Dx\nxx/D2dkZO3fuxDe/+U0UFBRM67qpq6vDq6++yrPqyMhInlWb6+9MF729vSguLsapU6dw6tQplJeX\nA5j8vAsKClBYWIiVK1eioKDAaiMKTeG+DdpKMMZQU1OD4uJinD59GqdOnUJrayuAyUx88+bNfFmr\nYXbz5k28/PLLePPNN9HX14f4+Hg8/fTTePrpp6dFJxofH8e+ffvw8ssv4/Tp03BycsLmzZvx9NNP\n43Of+5xFmW5XVxcOHDiAffv24eTJkxgbG4OPj4/s96Z5klOBMYampiaUlpaitLQU165dQ3l5Oa+L\nA5MS87S0NKSlpXEmUHJyMuLj4xEQEDAvjR/GGCYmJngjklz/rNWIFJ39SCo/XyWb0dFRNDY2oqam\nhrMNqP9D7B5gsuSUnZ3NWT5Lly7F4sWLLc48+/v7cerUKXz88cc4evQo6uvrAQDZ2dl49NFHsXPn\nTmRmZk75eTLGUFJSgtdeew1vvfUW+vr6EBsbi+eeew5f+cpXpuWOOTo6in379uGVV15BUVERnJyc\nsGXLFnzlK1/Bww8/bBVPmomJCVy4cAEfffQRTpw4gZKSEhgMBnh4eKCwsBDr16/H+vXrkZeXZ/Xm\n8lT4zARtJSiInzx5EidOnEBRURH6+vrg5OSE/Px8Ptx06dKls74RTV1kzzzzDB5++OFpfei1tbV4\n7bXX8Prrr6OpqQm+vr7YuXMnnnzySaxfv96iC3Z4eBhFRUU4fPgwPvzwQx5s4+PjsWHDBqxbtw7r\n1q3DokWLpvV79vb2ory8nHfEb926haqqKlkwByYbyPHx8fzIT8f+6OhoTnWzlV+6PUCv16Ozs5OX\nipqbm2VlpPr6ep5wEPz9/ZGSksKbWunp6TNiWA0ODuLcuXM8ubly5Qr0ej08PT2xYcMGzjKyJDMH\nJssfb7/9Nv7617+iuroa7u7ueOyxx/DMM89M6+TJ2OQYtNdeew1vvvkment7ERcXh2eeeWbaSZAp\ntLS04NixY1yjMDAwAI1GgxUrVnBvlvz8fJuPIrNp0P7zn//Mmym2FtfodDpcuXKFf2glJSVgjCEs\nLAzbtm3Dgw8+iC1btsya4aA8zgUEBOCJJ57AU089NS3qkV6vx+nTp/HXv/4Ve/fuxeDgIIKDg/Ho\no49i165d2LBhg0U1QcYYqquruTFUcXExH0gRExODVatWcSOcnJycGWUVWq2WO/6Jk2woCBFdUIS/\nvz83TVI2IsXygljT9vDwmDfqlqWYmJgwqmmTsMZUI7Kjo8PIVMrFxYWbRonimoSEBKSkpMzIr5yx\nv8/8vHDhAi5cuICysjLo9Xo4OzsjLy8PmzZtwqZNm7By5UqLg9Xt27exd+9evP/++ygrK4MkSVi7\ndi327NmDXbt2mfTRUUNrayveeustvP7667h58yZcXV3x2GOP4bnnnpt2uVEJg8GAy5cv49ChQzh6\n9CiuX78OYJKBQ0nbxo0bp9XcnQv09fWhtraWM4a+//3v2y5oi1+7u7tzYU1KSgpSU1ORlpaG1NRU\nm0yY6OzsxPHjx3HkyBEcO3YMfX19cHV1xYYNG7jB1Gx2d9E1bd++fRgdHUVSUhL27NmDPXv2WFyq\nAOQqzkOHDmFoaAj+/v7Yvn07Hn74YWzdutXiG8VgMODmzZsoLi7G2bNnceHCBZ4pu7i4IDs7G3l5\neVi6dClycnKQlZU1YzENob+/H01NTXyKETUiaapNZ2cnOjs7ZQOE1aDRaHgdmRqRxJ+mMoa7u7vV\nG5FkTEXNSLGubqrpSPDy8uJ1bdqk1BqRYWFhsw5QNTU1nHFFU2xog/by8kJ+fj5WrVqFtWvXYtWq\nVRZPydHr9bhw4QIOHjyIgwcPoqqqCgBQWFiInTt34vHHH5/WvTI4OIgPPvgAb775Jk6ePAmDwYCC\nggIuapuNxalWq8WJEydw8OBBHDp0CB0dHdBoNCgsLMT27duxfft2i8o91sbo6CgfYlFVVYWqqirU\n1NTgzp07XJEswmZBm3YPEtTcuXMHd+7cQU1NDcbHx/nPBgcH8yNfZmYmX/MVzHU6Hc6fP8/dvu7c\nuQMAWLZsGQ/gOTk5M/6gBwYG8P777+PNN9/EqVOnwBjD8uXL8fnPfx67d++2+CgKTH74H330Efbv\n34/Dhw+js7MTGo0Gq1atwtatW7F161bk5uZOKwA0NzdztgEtUiM6OTkhOTkZmZmZyMjIQGZmJtLT\n05GUlGT1EodOp0NPT8+0GpHilPa5rGnTBuHh4SHbOKZqRM6EeWMOBoMBzc3NqKysREVFBW7evMkf\nh4eHAQDOzs6yKTYrVqxAZmbmtGrBra2tOH78OLcp7e3thYuLC9avX48dO3bg0UcfRWRkpMX/nlar\nxZEjR/Duu+/i8OHDGB0dRUJCAmeipKQotXuWo6OjA4cOHcLBgwdx4sQJaLVa+Pr6Yvv27fjc5z6H\nrVu3Ws3reiqMjo6isrKSi2uojFhXVye79qKjo/nUp+TkZK5vSEhIgK+vr/3VtPV6PRobG/muQ7/Y\nrVu3ZLMkw8PDOWshJycHS5cuRUpKypyXWW7fvo0DBw7g0KFDuHDhAhhjiIuLw44dO/DII49g9erV\nM26GNDU14Z133sG7776L0tJSAMDKlSuxa9cu7Ny5c1p1Zr1ej4sXL+LIkSM4fvw4rl69CmByE9yw\nYQMeeOABPPDAA9Nmz4hiGlFQU1tby9kaTk5OiIuL4xceqbvIa2Yu/Ybvd+h0OjQ3N6OhoYFLnSnp\nqa6ulo2yCg0N5UlOTk4OcnNzLRbbiOjp6cGZM2dw8uRJFBUV8aEJ4eHh2LJlC7Zv344tW7ZMq5Qw\nPDzMT4iHDx/G8PAwQkNDsXv3bjzxxBOqY80sRW1tLfbv34/9+/fj3LlzYIwhNjaWJ1nr1q2b89p0\nR0cHrl69iuvXr/P7pLq6mt8jrq6uSElJ4Qmp2Lg3d8pZUI1IUkrSLkV0poqKCkxMTACYZC3k5uZi\n6dKlnCc5l4G8vb0dhw8fxv79+3HixAmMjY0hODiYXxybN2+ecfmgpqYG7777Lvbu3cvrbXl5eXjk\nkUewY8cOZGRkTOuibm9vx/Hjx3Hy5EnZUIOwsDDOYy8sLER2dvaMzOO1Wi3faGlWIZ2clNNXgoKC\nZE1IEtVQIzIsLGzeWCb2hJGREV4WounbLS0t3FSrqakJLS0tspq3s7Mzn2AjlhUzMjKMJqpbAvap\nd/qFCxc4F5kobp6enlizZg0eeOABbN26FVlZWdP6jLq6unDkyBEcOHAAx44dg1arRUhICB555BE8\n8cQTWLdu3YwUzYwxXL16FQcPHsT+/ftx48YNAJMKX7pfZnMangodHR38FEqsKrq/gEkfc0ous7Ky\nkJmZieTk5BkldwsqaJvCxMQEbt++zaWiREOjjMPHxwfLly9Hfn4+56aGhoZa5f8WMTQ0hGPHjuGD\nDz7AkSNH0N/fDw8PD2zevBmf+9zn8PDDD8/4/62pqcHevXuxf/9+XLp0CQCQkJCABx98EA8++CDW\nrVs3reyJ2DNFRUX8xiSJrYeHB3+/aOOLi4ub8QXPGENXV5ds3Fh9fT0PQk1NTarmT66urrKRY6Zc\n/tTENZ6enjYL+OPj42bFNUqXP2pEtre3G21uwOT7EB0dzRuRdFqhcWOxsbGzorn19fWhtLQUJSUl\nuHz5Mi5cuMBpg97e3li5ciVXxRYUFEwrQyVp/NGjR3HkyBGcO3cOBoMBUVFR2LFjB3bt2oU1a9bM\n6PWPj4/j1KlTOHDgAA4ePIiWlhY4OTmhsLAQjz32GB555BGLB49MB6OjoygtLcWlS5f4amxsBDAZ\nUNPS0mSjxnJzc6fVfJ0K90XQVgONHKML8dKlS7JJK4mJidxmtLCwEIsXL7ZqNj4xMYEzZ87gwIED\nOHDgAO7evQtJkrBq1Srs2LEDDz/8MFJTU2cUWFpbW3mNrqioCKOjo3yaxpYtW7BlyxYkJSVN+9+m\n7IrWtWvX+AkmMDCQy3Bzc3ORnZ2NtLQ0q3FUh4aGeGZpzuWvq6vLInc/SZJ4jXm+G5FqFqtKeHh4\nyMQ1plz+IiMjrSa6oQy6vLxcdmQXJ9skJCRwtlBBQQFycnKmHVD7+vpw8uRJXvOmZCA3NxcPPfQQ\nduzYgWXLls3o2u/t7cWxY8dw4MABHD16FIODg/D09MSWLVuwY8cOPPjgg1bvdbW3t3OHy/Pnz6O0\ntJTfF4sWLUJ+fj5WrFiB5cuXY8mSJXPuoXPfBm01aLVaXL16FRcuXMD58+dx/vx5tLe3A5ikmFHn\nfM2aNcjLy7NazYsxhrKyMh7Ar127BmBy43jooYfw0EMPWaxOVPudTp06xVkudXV1ACYvJhqJ9MAD\nD0zp3qeGsbEx3Lx5k2dh169fR3l5OZc+azQapKSk8OZjWloa0tPTp6zJzRZ6vZ67QyobkaKEXOny\nN9fiGqXLHzUjlY3IgICAOeWhiz0h0Wzt5s2bskw+KSmJG64tX74cy5Ytm5GwTKvV4vz587zefeXK\nFRgMBvj4+GDjxo2clTETDyBSYZLT4Llz56DX6xEWFoaHH34YO3bswMaNG63W0GWMoba2lsvTz549\nyzc1d3d35OXlcRpsQUHBtERB1sJnKmgrQR8QTaU+e/YsKisrAUxmQjTFfd26dcjPz7fajdbU1MQv\nQlInent7Y/Pmzdi+fTu2bds2Y5Ormpoa7tJ2+vRp3rhNSUnhR9zVq1fPuNyh0+lQXV0ts5e8efMm\n6uvrZZLxyMhIJCcnIykpiXOKSVAzW/qaA5OMo8bGRjQ0NKCurg719fWcC19XV8czQWBywjqJbaie\nmp2dPeOMsL+/HxcvXsSZM2dw5swZXL58GePj43B2dsaKFSuwceNGbN68GQUFBTPujZw6dQpHjx6V\nqTBzcnJ4krNixQqrnT6qqqq4mKi4uJiXhoKCgrjfeGFhIZYuXTrv6kc12DRoFxYWchoLcbSTkpIQ\nHBxss3pkR0cHzp49izNnzqC4uBhlZWVgjMHd3R0rV67k8tX8/HyrfIDDw8M4efIkv0CJE52dnc1L\nHatXr57R/6XX61FWVoaioiLu4kaG6hERETxjyM/Px9KlS2fFtx4dHUVNTQ1vPtKqra3lni8EV1dX\no+nikZGRfPJ4REQEwsLC5jRbt1dMTExwoQ1Np6dmZHNzM5qbm9HY2GhUIvL29kZCQgKSk5P5oqbk\nbLwwDAYDqqurcenSJV42Ky8vB2MMGo0GeXl5vDG5evXqGW0ElE0fO3YMx48fR3FxMS/5UaY+HRXm\nVP9XdXU1Tp8+zRddn5GRkdw0i4zlbJVcjIyMoK6uDjU1NaipqeHCmrq6Oty5c8d2QXvdunWoq6tD\nc3Oz7Fjq5+fHrSZTUlJkVBhr81qnQm9vL86ePYuioiIUFxfj+vXrPIgXFhZy6lxeXt6MsgoRjDFU\nVFTwUgdZpHp4eGDt2rXcIyQzM3NGFxNNoaH63IULF3gWo9FokJWVhby8PO5RkZ2dbZXTxcjICM8I\nyRO6sbERzc3NXEwjZoYET09P3oQUp5ZTiUFt3BiVJry8vKziQTFdGAwGLrChUo3auDFqRtKUeWpG\nmhIQhYaGIioqSjZ6jFZCQoJVEh2DwYC6ujrezKeyGG0Qvr6+vN5NI+dmSt1sa2tDUVERPxUS0yI1\nNZVTCKfbXFcDYwz19fUoKiriZk+USUdERMiM4xITE+c1WTQYDGhqasLt27dRWVnJB1lUV1ejublZ\n9rMBAQE8wX3vvfdsXx4ZGxtDQ0MD55qSCU51dTXu3r3LA7okSUhISOAm74sXL0ZGRgbS09Nnrcqz\nFL29vThz5gy/AIha5O3tjbVr1/ILIDc3d9bDGIaGhnD69GmcOHECH330ES/dhISE8P9n/fr1M25o\nApNNFmrUXrp0CVevXuWBQ6PRIDU1FdnZ2cjNzeVHa2s4+IkwGAzo6urimWVbWxs6OjrQ0dGB9vZ2\nPmaMlqVjxlxcXHitWZwyY+1xY2NjY7LauSWgRqS4GYWFhSE0NBQhISGIiIhAeHg4f7T2sbyvr4+L\nbohvX15ezmveLi4uyMrKwooVK7BixQrk5+cjNTV1xtd0d3c3v2+KiopQUVEBYLLBTeWUf/iHf5i2\n340ampub+f1ZVFTEmR1hYWH8vtmwYcOMmvUzgcFgQH19PZ9UQ+v27dsy6+GAgACkpqbKTkukbxDF\nP3Zf09ZqtaiurjZqqlRVVfHsTJIkJCYm8ppddnY2srOzkZiYOOfHm66uLhQXF6OoqAgnT57kEl5/\nf3+sW7eOXyAzzY5FNDc382aPkmdNx7rVq1cjMzNzxjcX+3ScWGlpKWcYlJWVySZu+Pj4YPHixfwE\nRKegxMTEeTF60uv1nD4njhpbCOPG/P39ERAQMC+1UYPBgJaWFp4AUUZ3+/ZtWSbn6+vLnQBzc3Ox\nbNkyZGRkzKoR39rairNnz+KTTz5BcXEx53l7eHjwcsrGjRuxZMmSWSc3bW1t3LmzqKiINw4DAwOx\nfv16PPDAA9iwYQPS09PnPEh3dnbixo0buHHjBu/73Lp1SyZ4io6O5smmeB9Zyqm3+6BtCjqdDjU1\nNaioqEBFRQV/g+7cucMbYl5eXjxLpJFkmZmZc3rD3Lt3T7bLE5sjKCiIH8XWr1+PxYsXz+oCEq1m\nqYlCN6J4jKWa9WxNb8TMrLy8nAcA0W1OkiTExsYiMTFRNlZs0aJFiIuLQ1hY2GdOLDPXGBwc5A1J\nKkGRPURNTY0s8xftckklmZGRMetZqzqdDuXl5bzmfe7cOV528/T0RGFhIW/oL1++fNb3X2dnp8zb\n+vbt2wAmr3tKlB544AFkZWXNWdJGZRfShtAAZfF+CAsLkzV/iWU1W0rggg3apqDValFRUYEbN27w\nN7KsrIw7yTk7OyMjI4OT35ctW4acnJw5q5XfvXuXX1ynTp3iGWtISAjWrl3LL+bZZuLEwSUWzNmz\nZ1FRUQHGGCf80zE3Ly8P2dnZVtm8+vv7uZ+zOEW6rq4OnZ2dsp91c3OTiUREBSSVAT6rDUglqCGp\nVEe2trZyQVJzc7PM1gGYzGSp9klHbPIyn+l4KxHkDFhaWorLly/j8uXLKC0t5ZlkeHg4Vq1ahdWr\nV2PNmjUWDRCeCm1tbTw5KS4u5hJ6Ly8vrFmzhp9mlyxZMid9DDLbojr/1atXcfXqVV6m02g0SE9P\nR25uLnJzc/kwkLkQ8AH3YdBWA9WUxAGbpaWlfPqKaKCTl5fHDXRme7EpQbszUYuKi4t5vS0gIEA2\nEm3JkiWz/v/7+/tx+fJlXLx4kdetKZDS7yyqtmZDA1PD4OAgGhoaeOOx4LeKcQAAIABJREFUsbFR\npoK8d++eagOSnO9oiXas1ICkUWNUdvDx8YGPj4/NvY5F6PV6DA8PY2BggKsj+/r6+FLatFIzsrOz\nU9XZDZj0jRGZN7GxsYiLi+NNyfDwcKudZojeSckP3TfEQHJzc+PzWPPz87Fy5cpZZ+1UniO205kz\nZ1BdXQ1g8qRAWTsNIJiLe/Tu3bt8bCHJ0ilAu7m5ITs7G0uXLsXSpUuxZMkSZGZmzitB4jMRtNVA\n01doZl5JSQmuXLnCm3Du7u5YsmQJb8SsWLFiTrrLjY2NKC4u5hcpXaCenp58jBF16mdb4qAbQvRH\nuHr1qixAJCQk8L4AHZ+Tk5PnJBgaDAZ0d3ebVEGKAaynp0dV4q2Es7MzvLy84OXlxRWRHh4eqo1I\nqk9TzdpUI5IWNSJ1Op1qI1KsoQ8PD1vUlHRxceHSfHGjEtWR4eHhfNjxXHwOjDG0tLTwUiPVY2/d\nusV/B1dXV2RlZfHT6bJly5CVlTXr16PT6XDjxg2cP3+enxCpV+Pv788TmXXr1mHp0qVWz6R7enp4\ngKbEhoYpkxUxWTlQrd/aG8V0YdOg/ctf/lJm5m5rgyDKhOnYd/nyZVy9epV3eAMDA3lWQdJVa8+D\na2tr414gZ8+eRVlZGQwGAyRJQmZmJldirVy50ipGWHTDUjZFN6zoRubs7IykpCReD6Xp38nJyfPK\nqR8fH+cqSMpWBwcHZZns8PAwb0aSvFyr1Ro1IkUmiMgSMdWIlCSJB3oK9spGpLu7O29Eiks8DdAJ\nwd/fH/7+/vDy8pq3929kZIQLcMjUi1w0xUEU4eHhvBZLR/60tDSrBKvOzk4+Z/TChQu4dOkSL61E\nR0fzsgo11K1Zkx4fH8f169dx6dIlHqDJZhkALyHSslYJcTYYHR2VCagaGhrwH//xH/YxBAGY5GeL\nQhuivCQlJSEiIsImAV2n06GiokL2QVOtGJiUAlMQzc/Pt0r2IWJwcBCXL1/G+fPnce7cOVy8eJEf\n1fz9/bkfMnkfzESurobR0VFUVVWhoqICt27dQkVFBTdmF0safn5+SEpK4hsvTVWhUWLzzav/LMNg\nMODevXsyUy4SZNTU1Mhc54DJCS2pqalIT09HRkYGp9Bay7tjeHgY169fl2Wx1JjXaDTIyclBYWEh\nF3lZg+5HoFOlOJD62rVrfChFeHi4LPnKy8uz2YSawcFBTnUWV11dndFn5ubmhrGxMesHbUmSNgL4\nCYAoAF9njB1T+RnW398vu7jIG7i2thb19fUy4x0vLy/eVKFMjxRfc23QosTg4CBKSkpkFwR5mFCd\njxwF8/PzZ13nE2EwGFBVVcX/3ytXruDGjRvcqjMyMhLLli3j02WWLFmCyMhIq9Y56+vrUV1dLePV\n0xgxZY06NDSU12BFC9aoqCjefPTz83OwSqbA6Ogo2tra0NbWhpaWFplKUmxMKt//yMhIWWOSkqGU\nlBSr3jdDQ0MoKyvjTbqSkhLcunWLn9ZiYmJ4crFy5UosW7bMqtqK/v5+XLlyRea8R2UOd3d3LFu2\njN+P+fn5VtcaTAWdToe6ujp+uiEhzZ07d4wUw+Hh4TxxpSSWkqGwsDBoNJo5CdqPMcb2SZL0AID/\nZoxlqvyM2Zq2TqdDY2MjP84RO6G6utrI5yIqKoqbFdHKyMiYs+6tEtS8EC+Y0tJSXg8MDQ3lZRW6\ncK1p1TgyMiIbIVVaWorKykp+GggNDeUcXOpsp6amWr0+qtfr0dLSIqOgNTU1ybyg1erSbm5uMmFJ\naGgogoKCVK1YRRWkLRSPswVjjKskqRlJSxQRdXZ2oqOjgzNI1ARFLi4uiIqKkm2KZNlKNEtrn3QY\nY2hubuZe9rSqq6v59RYSEiKrA1vzBAhMMmvKy8v5vXb58mXZ9Z6Wlsbvtfz8/Bn7w88EIyMjRpqS\nyspKoxNqSEiITPUtCmmmUpnOaU1bkiRfAO8zxjar/NmMG5FjY2Oora01MtyvrKyUBQUaU5aRkcFH\nYVnz+GcOygvr0qVLXNEITBo4UWlj+fLlyM3NteoNJmY+165d49NlaIybi4sLUlNTkZWVxY/Gixcv\nRmJi4pwGw8HBQZ4ltre38+yxra2NB6qOjg50d3fLBAlq8PLy4qwRUczi5eXFhS5UZ1ZTQ1J9ejqN\nSFpKVaRYP6cRZ1Rfp3r70NAQBgYGZAmHEhqNBkFBQXzzoiXOj6STirUsW9XAGEN7eztX7xFH/+bN\nm5w9AgDx8fHIycnBkiVLuBbCmic7ottRieXKlSu4du0aT4hCQkJkAdraCZEp0Ngwat6S2lEcG6bR\naJCUlCSbSpOamorU1NRZjTebddCWJOkHAJQD3PYzxg5IkvQEgA7GWJHK32M/+clP+NdkxDQbUFNN\nvNDoUcxUqNFCbmfZ2dkzGsE0XYhHOLoAyQdBo9EgMzNTlqFkZWVZtREyMTGBqqoq3mwkoQzRDoHJ\nYJ6cnCxTOtqi6QhMcu67urpk2WhfX5/qXEgKimKwFFkd4sxRa8PZ2Vm2OXh6eso2D9pYaF4knRRI\nHUkUxuDg4HkvFWm1WtmoMkqCKisrZcHZ398fGRkZvEFJDCNr1oGJCECeJ0q6naenJ59IRUF6NsM5\nLIHBYEBDQwNXOdI9c+fOHV6SdHZ25pOCRHuNpKQkq5xmydiK8NJLL81Npi1JUhCAHYyxP5v483mj\n/DHG0Nrayt9wyhgqKir4ju3k5ISUlBQu56VHawgSzKGlpUXGCb1y5QoXTLi4uHAuNfFCrTH9XImh\noSGeNYhS59raWtlYK19fX36EUzYeY2JibN5pNwfGmCw7FjNmS9kjxBqhDJ0yd3u2mTUYDGhvb5f1\njurr61FTU4Pa2lqjRld4eLgsM6QAZE3+N72umpoarpsgDrh47Yt0u+XLl2Px4sVzegocGBhAeXk5\nL/1QcjM0NATg795HmZmZMpXjXFFiTWFOyiOSJHkB2MkYe0OSJGcAvoyxHsXP2NxPW6/Xo7a2lu+i\n9EE1NDTwnwkICOABfDaDUS2FmG2Iiy5mJycnpKamckEMva6wsDCrv5aJiQk0NDTwXoK5RjEw6Zq2\naNEiWY2VbFdJ9WjPgX2hgYy2qNzU0tLCG5JNTU1obGzE3bt3jU4ZYqMrMTFRZlDk6+tr9dc5MjKC\niooKPimHVMoUDCk5oRPmXJwyRdA9Jtbky8rKuPQemDxZ0CmckriMjAy7UOtaPWhLkuQK4DgAXwCG\nTx+XMsaGFT/H/vCHP/CGSWxs7LyYDVkC5Y5LwZxqrBqNBmlpaZzDSsFzJkNULQE1OsnEiRZ5bwOT\nzUY6stLxNT09fc4uMmo6EndUTfUoOpgRAgMDuXudsvlIcyCpARkQELAgm40zBWMMAwMDstmRpJKk\nWn9HRwfvAbS3txttnE5OToiIiEBMTIzMvnXRokWIj49HXFzcnDli6vV61NXV8ROtmh+Qj48PT35o\nAPdszanMYXR0FBUVFbLNQrS1kCQJKSkpPPmhAD3XJ2xLIdI4qcH/4osv2g9POyIigne/6ehNx/Do\n6OhZu4HNBpSVU7ZAj+LxMjIyUpaR5+TkIDk5ec5ed3d3t+yUQKUfKvlIkoS4uDheaxNdxeYioxLB\nGENPTw/PAEn1SAHn3r17PAiZUzpS7ZeWKF0nwYrooe3p6cmbkNSIFJuQohrS2dkZGo3G4ptTbEaK\npZbx8XGMjo7yJc6LFMU+1IgUl1LWLpajRLi4uMiakkSXJLWkOFNyrje6iYkJ1NXVcXtR6htVVlbK\nrj1y3hSz1fj4+DkrJ7W3t8vuz7KyMlRWVvL31MvLy+j+zMzMtGn2TPcJ8enFElZDQ4PqSenTv2eb\noC1maKIggF6seAG7uLhg0aJFsmMdCW8SEhJsduzu6uqSHbGuX7+OW7du8QzIw8MDmZmZsp08Kytr\nzjrctLmQDJk629XV1TLKUWRkJOe5i83G+Pj4eZfparVaLlcXhwHQEgNbX18fV0D29/erepdMF5Ik\nceaIGMCp1k2P1vh/aKOhTUf0URHpjeS5QqcOf3//ec38iD0imoFVVVVxgZWY4ZPVqJKlNVfBcGJi\nApWVlUa0Q9JKAEBsbKzsnsvJyZkXq2Y1ULYsCmjEUqOoRgUmGTHUKxLpm3Ri8vb2tk/vEZ1Oh6am\nJj77ThTf1NTUyH5RJycnxMbGyoIP8R8XLVo070fs8fFx3L59W7bjX79+XTaVZNGiRbxmRtlIcnLy\nnL1WnU6H2tpa7kVODIGqqioZS0Cj0fDNUa3hON/BYyqMj48beWgT5U6k4pGHttiI1Ov1Ro1IJcRg\nTtk5LcrcXV1dZUN+xWzf09OT0xE9PDzs6r0bHR3F3bt3ZcpJUk/W1tZiePjvFU0XFxcjKwM6tc2V\nuI0xhra2Nl6qpHXr1i2+Wbu6uiIjI0OWQWdnZ89oQPFsX2tXVxfv/4ibXU1NjaxU6OLigri4OJMC\nGpvytKf4j2fciGSMobu7m9uAijMJ79y5I6P30cVGCkrKLtPS0ub1gyU6orLpWVVVxYOFm5ub0QDW\nzMzMOa2v0XtJFxndsPTeKq0/fX19+Y4fGxvLlzjr0dFstD0MBgM6Ojpkqsm7d+/Kxr0R3ZTg5uaG\nuLg4rpqkJmVKSgpiY2PntDw5MDDAffHFmrhoZhYZGYmsrCxZ7Tk1NXVeT4Y0C5USHlrV1dWy5MfF\nxcVoZidVBmJiYmaVnC3IoG0OjDF0dnbKFJTisU6sDwUHB3Mlpfi4aNGieTtGjY2N4fbt2/wiJZqR\naKbu6+uLxYsX82Mn1abno1nS39/PMzEqZ9XX1/MAoAzqwOTAB6VPNi2qy4aFhSEwMNCu6XL2BlJT\nKpuSJFIi320a26ZsUrq5uSE2NtZIOUknqYiIiDn/PPr7+7laUBSmiJN0vL29OSdcbKxb25zNHLq7\nu/lplF5vZWUlGhoaZKWy6Ohoma0GjQubyxP+fRe0zUGv16OhocFIRVlZWcm9tYFJrwIy0hFXcnLy\nvGWRvb29PPOgi7uiokI2WIAmkdDroxNEYmLivPFGh4aGOM2MFgWOlpYW3nhUBhBgsvQQGBgoG9yr\n5pvt7+/Ph/dSTdjb23tBZvR6vV7WlCSBkJqsnSxpqdbf1dXFDY+UCA4ORlhYmGyzpNMPrdDQ0Hkp\nz5AuQnQRpCUmI+7u7txygmrhmZmZiI2NnZfNnCT51FAVg7N4n7m5uclO6KKy0RZNzM9U0DaHrq4u\no5319u3baGxslMlSExMTeaYrBsuZTqWeLjo6OmS+BvRcZLFoNBrEx8fL6vt0PJvrY64aDAYDent7\nVQf2ikscCDCVhB2YPIIqbVBJmahkjri5ucmG+RJzRCljN9eI1Ov1qlL2iYkJXj8nFabIIiEGyfDw\nsCoNUglnZ2e+eYle27S5EVUyLCyMe2/P9/AHKquRmlKcXFRdXc052MAkzU88zZJqMD4+fl6uRaIi\nivcMeYKIrzMwMNDIw4hO3rZkrilh06D94osvchEG1Ubnmoo2XYyMjBhlC7du3cKdO3dk2WNsbKxR\nME9PT5+3I93AwIBMhkwOYtXV1bIA6OrqypsgtIhaaUkTZL4wPj7OM09Rst7f389l6+SfTYGRaHa0\nxEAqNiEnJiag1+tN0uvMQWxIihRCcXNwd3eX0Q6JikjURFOydjpdeHp62kXDksgAREETGQ91dXWy\nGq6Tk5MsURCzUWt6kZjD2NgYH2AsJjTV1dWyE0pkZKSMAkv3akhIiF2874Tx8XG0tLTwUiTpH/7v\n//7PdkFbo9EY3Th+fn6IjY01EgZQDc5e3tiJiQnU1NQYXSCVlZWybCokJMRo505LS0NMTMy8HQFb\nW1tlGZF48yk50sHBwUYUI7HZaC/vvzXAGOPSdUvYIyRpv18wNDSE5uZmHhTEJmVDQwOam5tl74mz\nszPf8MUmGzEg5ivb7+3tVa0319XV8XqzJEmIj4+XBWViu9jKN1uJoaEh2fstCtQaGxvR1tZmZKsQ\nFBSE7u5u2wVtnU6He/fuGXW2xUdxNwcmec8UwIkiQyshIWFeHL7MwWAwoLGxUXYx0XOR8ufp6WnE\nZqGGxlwp1pQgmhJ5YRNHXryAlMd5V1dXREdHc0GH6I0tNh59fHzum+C+0DA2NoaOjg5ZY1KUuhOj\nRGn36uTkhMjISFmTUjyFRUdHzxt9Vq/Xo7GxUXZypEAt8rFdXV2RkpJi1H9KSUmx+QCOsbExNDY2\n8ia+8j4T+2jA5O9CCZKYMFElIjo6mp/C7Lqm3d/fzwNIfX0935Xol1cGdX9/f84tJv4jZQazpdrM\nBsRqEYM4lV3u3r0r21FjY2Nlwx5Ezvl81taobkmbKDUam5qaZEb8anVad3d3PuPQnFRdFJTYU93Q\nXkCMEbEpSX7b4iBgkU2ivCeAyYAsqifJF4aGA8fGxiIyMnJe6XMit5lGoIkcZ7GkERAQgPT0dE4Q\noNpzXFycTe/p7u5uWcmIHmnqjHhfu7q6yuwElCssLMyik5zdB+2p0NfXJ9vB6I1Tm6QiHu9EVSUF\ndVt5n4yMjKCmpkbG+6QlioiU3E/ifSYmJtpERARMXrh9fX2cZnbv3j1OQ2tvb5fR0zo6OswqGH18\nfHhdl9giahPXSbLu7e1tJGShBiQ1IacjU58tDAaDTNKu9NcWm5Iig4TmXFLNXmSS9PX1ma29BwYG\nyjZG8twOCwtDREQEX6GhoTa7Pjo7Ozn/XyzT1dTUyDYYZ2dnJCYm8hOouObbFphgMBjQ0tIiUzGK\nz5VqxsjISMTHx/OYIlYCIiMjrVJeW/BB2xzI1EipqKQ3XjweSpKE6OhoHgjFlZiYaBNqD0mJld15\nuuDFDNfZ2ZkrGZUKq/j4+FmZrlsLjDEMDg6qStW7u7tlHhxKz+yBgYEZSdYlSTJijri4uHDmCNWp\np8MeoUcaDExNTjVaoyWvj2TttEmJg3+J9iieSuikYi+GWlQGEH0zxOxT7Js4OTlh0aJFXMCjtFCw\nxe+j1+tx9+5dLjEX5eZ1dXWyjN/FxYUHZeWKj4+fl5LMfR20zUE82lBzTswGRJ4mMLmDKocNk2rM\nFowLajAqd37anMT6OTDZ4BWPYsq62UJoMI6NjRlNXKcMljJa0bhpbGyMLzHAiuwRnU43LRm7RqPh\nAV/cBMiQitgjYsYvngbEUwLRFO39fScuPpUpqVxGZUqRew1M8prVSpTJycmIi4uzCb9ep9Ph7t27\nsoBMz+vq6mQJgYeHh+w1iydyW1BmlfjMBu2p0N/fb3ScowAvNkKASXdCtQw9KSnJZhRGUckoNhip\nLyDyU4HJG02scyqH8EZFRdnsiO3A3IBKW8ompSiWampqMlK9Ojs7Izo6WpYEiA3L+VBWqoH835VT\nze/cuaM6KFy8T8VkbL4oijOFTYP2ihUrEBUVxdkIykdbd39NYXBwUOZ5ImbryqwjJCTEyJWQdnFb\n1ekYY+jt7eUZk8jeoSZjS0uLqldzaGgor5OKcwuVgo/AwECbZySfRVAJSmxOUn9BnMdJ/QeyUhUR\nEhIia1ISe4E8uiMjI2322Wq1Wpmpleia19jYKDsteXt7G/mo0POIiAi7DMx6vR7t7e180ySmj7ip\n3rlzx3ZBe/PmzfyFqE2bDg4O5lmfKMKhx/nudluC4eFh1NXVGXGia2pq0NTUJOsm+/r6GjFcRKaL\nLX83vV6Pjo4OWRYmUshEI361soIkSXyiOjFFgoODudJPTapO9dz5VvfZIwwGA7efFWv9fX19sj4A\nLVFZakrqHhAQwDdakaIpUjcjIyNtOoyEGpciE0N8VCZFAQEBsmRIzJjtreRHbBllkkSLLCCUyZKr\nq6vsxPvuu+/aR3lkaGiIH81EZzJxKalMxCsV3eaoVkuP9kKkByYdwuj4JjZFie0imllpNBrExMQY\ndaBphYWF2cUFaTAY0N3dzTO6jo4OTkMjWlpXVxcPLD09PSaDCsHDw0PmOy1OWyfGiDhxnZgjImtE\nbfCBcvgBLapZqzUixWYk1cFpTUxMqA5EEJWYyqEIIpOEGCRqTJLBwUEjYYUIJycnBAQEyBqTNMWd\nFp18yKTLXrxaBgYGeONSyfyqr6+XWcICk/0kseEnnlbn24LVHMbHx3lAVupNaClPNm5ubjwxFRPU\nqKgo/j3liXxB1bSpIaLcqcRjvnLKAzXgRGWlqLAMDAy0i+BHTBflBAt6rqyju7m5Gf1OYmMxKirK\nbuvPWq0W3d3dPHNUY4yINDhlcCPJ+lxOWJ8rODk5yaa1ixuSuEmJTBI/Pz/ZqSQwMBC+vr52qc6k\nBr8YtJSqP2WT3MvLS1YTp8f5ZGRYAq1WazS0Rfz63r17RhtteHi4TFWsrBbM5DSwoIL2VCAPYaUc\nVHxjlbJtLy8vo0Aukt+DgoLsIqiPjIzwC0XZVGxoaDBiu4inEHHILu3i0dHRCAsLs9vAbgkmJiZk\nXiNidjs2NibLfMWsmGh7tCibVptOQ9k3ydjFJWbvxBwhJgll/KKBlYeHB9zc3OziepoJqBeiNkRY\nTKaUYitPT09ZYiFOZYmPj7ere0wMyMrV0dEh+3lnZ2dVyw1a0dHRc3K6ua+C9lSgbrnygxHpS8ra\nure3t6p6yd4y9eHhYSM7APqabi7l0UypkqMap7jIA3shB3cHzIPuC7FBSYtme5ICVhmQJUnig4TF\nvhMFrpiYGJs13JWgTNlUUFaeZmnEofKep9/NVg3Zz1TQtgQU1NUk8w0NDUYKKArqynlu9hbUaYAo\nBXCxKy3emMqjKzB5kQQHB8tqpMQSISWeKE93SNJtC5K+Kye6K6e6Uw+ivb1dtdTk4eHBm5S0qROr\nhGqu4eHhdkMGUAZlZYBua2uT/TwFZaW0nJ6Hh4fbZQnKpkH75s2biIiIQEBAgF0ENkvQ19dnVKIQ\nnyvLL97e3qp1Z1qW+g3MF8bGxmQZl0gVE+lj5qaoS5IkU/FRw4xqsuIwWzWpupeXl129J/MNxhgX\nEinl7SKbhHoBPT09/JHYJKbUozTVXaRpEm1TZJZERETA19fXru5LamCqlT0bGxuNMmVSCdO9R2UZ\nem4rPvlMoNVqOWursLBwboK2JElbAHwdQDiAhxhjHYo/5/+om5ubEQVJXLTT29tFpIbe3l5Zhq5s\nXCgZMEpnL/GRjpv20ohRYnR0lGdx4qNIRRMDCjUep5psLkmSjC1C6kFq4Ik+I6LykOrIVF8WWSMi\nc0SUr8+EPaIciKCUs1MdnZbSi0RkkYh+4IODg7zZaolk39vbmzcoaVOkjZIoluIpKCQkxG7vIb1e\nj7a2NhnTQsnCMHXviGULMWMODw+3+xPf2NiYrAxlainLtnMVtNMYY5WSJP0AwE3G2CHFn7O3335b\ntX527949Vd62l5eXLIiriXLsvblmKlugi1StAx0cHCyrGYpNRRqma0tu7XRAR3eRLdLX12dknETB\nSznogKa/iAMPpqIQ2gOoQSmaW4ksEk9PT5NMEqUvSUBAAPz8/Oz6OhdhMBjQ3t5u1LwkL++mpiZV\nfjJ565tq9tnbKVWE2LQ1JZJpbW01smcFJq+ViIgIHueUfaZt27bNbXlEkqRvAHiFMaZVfN9sTXt4\neJjPGRRtQEWxR2trq1EtzsnJSXU+nrgiIyPtVsAxPj7OL2pqJk7FVwcmA7tSdi6eViIiIhASEmL3\nmcdMILrrUXZLE2roUcyKdTodz5Znwh6hDF3M3l1cXHhmT5k+Zfvu7u4LJsBOB4wxDAwM8KRL2R8R\n71O1IcNUF6dFjUs6ZdqTxkKEwWBAV1eXbC6q2lJr2oaGhsruT/KiF7+eik1jlZr2p9l0iuLb+wG4\nAPhvAF9jjB1Q/B32k5/8hH+9fv16rF+/3uz/owQpjJS7mfi8qanJyGdDkiSEhYXJfDaUj/Yc2Gni\niChEUu7iSnoSMCnYMSVDV8rR/f397fIY7cDcQ6vVyvoX1Ndob2/ndVUK1Gpe6t7e3vz0K56ERcGI\nvakVCaTIVJ4IlMOrlcmis7Oz7HcVvXsozkRERMyoaXv69GmcPn2af/3SSy/Neaa9HMBPGGMPKb4/\nb+yRgYEBGZ+UjmniB6FkhVBgV5YjlIHdXjOo8fFxtLe386xHSeWiG7C9vV01w3RxcZEp66g2Kg6Y\nFWungYGBdlt7/yxDp9Pxye5qsndRvUrsEmWSQ/D390dERISRV7fyKO/j4zPPv6VlIOGPkl+ujA3K\ncpuLiwsPvkrFIsWD0NDQeSvVzDl7RJKkYAD/jzH2fcX37YryJwZ2Ux+o8mImnrNapj7b3XW+QDJ0\nyqSUVDClJF25uYlwd3c38hQRmSL0SDVaqteKUnV7fq/mGwaDgTcoRXm7OOSYegL9/f280dvb28ub\nv+Y+L1dXV74R08ZM091Faicte5HBq4ECsuhOqPZceTJwdnbmk3zUekYxMTEICQmxq9r5nARtafLc\ncwTASQD9AN5mjA0rfsaugvZUoPqdMkNXBnalb4IkSQgPD5fV1BeSo6ES4+PjRgyRrq4uHiSIJUKL\nqGn9/f1mvTQIrq6uMq9psVEnMkaUE2pE5oiSNaLmO6JkjphjjygZJEr2iJJBYgmLRPQkUTZaxWUJ\nvLy8+IYobpg0NIGWeDoKCQlZEF7ewN+ZJeJ8S7EsSEuZIWs0GqMMWVkSDQsLW3B9HpvytPfs2cN3\ncSVXNCgoaMG9maQso4tKaX5F31djxgQEBBg1KMRHOpbaazlmKhgMBgwNDRlNoxGzSCVjRMkWoSXS\n58bGxizaDOwBLi4usg1HZJF4eHjINilikNCjuJT89oV6OhH9vJXKS7E/09bWZlTCE53vKAArny8E\nyp8SZK1LJ1/RTZPWoUOHbBe04+Li0N7ertrM0Gg0fOaduKiBJj7aYnLMbECNRGXmIC61WjN1n5WT\nz5WNxfDw8Hmb6G5rMMag0+mM/EaINUJLzIqJPUIZs5hNKyFm4DTFhjJ0cWyZmNFTtk/L3d0drq6u\ndnXEnkvodDpeXhMbl/Qo2vuq+XkHBAQY2cUqT6n2Io23FBMTE6qqOPKfAAAPxUlEQVTvh/L5VPEw\nLCwMZWVltpWxE29Xuasom2X0qDaHz9vb26gxohTrREREwM/Pb8F80GSGLvpY08WubCiqBRtvb28Z\nI0RNfk51zICAgM9MQHFg+mCMYXh4WNas7OzslA1uFhkmXV1dqqcfamQq71G6P4n+tpASjtHRUbS1\ntfF7U3mPtra2oq2tzeR7EhQUZMTiEpu9dO8GBwfze3RBeY+ITTNx8rfS6Ka1tVW1Huju7m4UyMWL\nhp4vtODe2dlpJDkXj1QkQe/u7lb9N5ycnGRezKSgI69msRZK9VF/f/8Feyz/LIN6M8qhytSbEJ+L\nSle1jBiYrKcrG5YUcCgQ0fOF0rcBJoOxGITFpEl8VI5iAyabm+IJWK06QAF5JrTiBRW0p4PBwUFZ\nEFfLVltbW1X9Myi4KwO68nEhBXdg8tgqZkrKgQWdnZ2yG7anp0d1Kg1BlFGr+YkQY4QYIsQSEZe9\ncuHtEXq9ntf8xaXmT6LmUWKJjYCvr6+M1ilu5MoTWmhoKLy8vObxHZg9KBgr44IyPqgZp5FSUe2U\nIMYGMSueC9y3QdtSDA0NyRRdpnZVteDu4eEh+7CUHx4te3H6my4YY+jv75f5iIgMEZEpQkGCng8M\nDFjUIHRxcTHLFjHFGFFOqDHFHKF6M7FGRPaIOGndUvaIWAsnX26l2lLJIDHFIlH6kSg9ScQ1NDSk\nWutUg6enJ98wxSVusHRqoufkzrhQT0/Dw8OyE7damcJUMHZ2dp7y9B0ZGYnAwEC7KCN+5oO2pZhN\n5u7q6mrUMBQbh+JR8n7JPGnGIWWBamwRCkbiRBolY4SeLySfEUvh7Ows24zEEWrKTYzcD5VsEiXf\n3c/Pb8EGXiXEcqiyaadUZqrx0c1lxuJjUFCQXQRjS2HToF1WVsaPXvfLhUaeKWq7vViDVzOKAYDA\nwEAjWbmazNyeZv7NJ0SfkdHRUZ7FihNqKMsVs14xMyau9WzYI+RFQgwSkQcuepCQUZToQ0JfL1T6\n5mygnCmqJpUXn6uV57y8vIySHrVTrr1MxJktiBpJ5cw1a9bYLmiLXwcEBBjVy0yt+4HtMD4+jo6O\nDp4tiE1E+pq+Z0pW7OfnJ3vPlMo2pfR8oTgBOrBwoNfr0dvba9QbUTJNxOembBOmamZS885eZfLT\nwfDwsGwghdoS3zMla85mQfu9994zaoyJz7u7u1Xros7OzpyzqNa5Fr8XEhKy4DOakZER2fABpcxc\nnILe1dVlstHk7e0tY4PQc1LLieo5cWjBQn//HJgaJOpQKlvFX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "None" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# an interactive version with a source and a sink\n", "\n", "@interact(m=(0.0, 10.0, 0.5))\n", "def oval(m):\n", "\n", " # freestream velocity\n", " Uinf = 1.0\n", "\n", " # x position of source and sink\n", " xc1 = -2.0\n", " xc2 = 2.0\n", "\n", " # loop over grid\n", " for i in range(nx):\n", " for j in range(ny):\n", " x = X[i, j]\n", " y = Y[i, j]\n", " theta1 = atan2(y, x-xc1)\n", " theta2 = atan2(y, x-xc2)\n", "\n", " stream[i, j] = uniform(Uinf, y) + source(m, theta1) + source(-m, theta2)\n", "\n", " plt.figure()\n", " plt.contour(X, Y, stream, 30, colors='k')\n", " plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.8" } }, "nbformat": 4, "nbformat_minor": 0 }