{"cells":[{"metadata":{},"cell_type":"markdown","source":"# Welcome\n**This is not a one time build and publish. I intend to use this kernel as my personal workbook to answer ad-hoc questions that I have about the data.**"},{"metadata":{},"cell_type":"markdown","source":"# Table of Contents\n\n- [Atom Counts](#atomcounts)\n- [Positions](#positions)\n- [Scalar Coupling Constant](#scalarcouplingconstant)\n    - [Contributions](#contrib)\n- [Worrying Atom Index Funny Business](#funny)\n- [Additional Data](#additional)\n    - [Magnetic Shielding Tensor](#mst)\n    - [Mulliken Charge](#mc)\n    - [Dipole Moment](#dipole)\n    - [Potential Energy](#potential)\n- [Train vs. Test](#traintest)\n"},{"metadata":{"_uuid":"8f2839f25d086af736a60e9eeb907d3b93b6e0e5","_cell_guid":"b1076dfc-b9ad-4769-8c92-a6c4dae69d19","trusted":true},"cell_type":"code","source":"import numpy as np\nimport pandas as pd\nimport matplotlib.pyplot as plt","execution_count":1,"outputs":[]},{"metadata":{"_cell_guid":"79c7e3d0-c299-4dcb-8224-4455121ee9b0","_uuid":"d629ff2d2480ee46fbb7e2d37f6b5fab8052498a","trusted":true},"cell_type":"code","source":"df_train = pd.read_csv('../input/train.csv')\ndf_structure = pd.read_csv('../input/structures.csv')\ndf_test = pd.read_csv('../input/test.csv')\ndf_mst = pd.read_csv('../input/magnetic_shielding_tensors.csv')\ndf_mc = pd.read_csv('../input/mulliken_charges.csv')\ndf_dp = pd.read_csv('../input/dipole_moments.csv')\ndf_pe = pd.read_csv('../input/potential_energy.csv')\ndf_contrib = pd.read_csv('../input/scalar_coupling_contributions.csv')","execution_count":136,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"atoms = sorted(df_structure['atom'].unique())\nmst_elems = sorted([c for c in df_mst.columns if c not in ['atom_index', 'molecule_name']])\ndims = ['x', 'y', 'z']","execution_count":3,"outputs":[]},{"metadata":{},"cell_type":"markdown","source":"# Atom Counts <a id=\"atomcounts\"></a>"},{"metadata":{"trusted":true},"cell_type":"code","source":"atom_counts = df_structure.pivot_table(index='molecule_name', columns='atom', values='atom_index', aggfunc='count', fill_value=0)\n\nfig, axs = plt.subplots(1, 5, figsize=(15, 3))\nfor c, ax in zip(atom_counts.columns, axs):\n    ax.hist(atom_counts[c], bins=np.arange(atom_counts[c].max()) + 1)\n    ax.set_title(c)","execution_count":4,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1080x216 with 5 Axes>","image/png":"iVBORw0KGgoAAAANSUhEUgAAA30AAADSCAYAAAD+KKkfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAAIABJREFUeJzt3X2UVdWZ7/vvL6B2EkUUgVMNEnzhdvMSRWFQ5sThAAmKysUXkEB7QhFJON2BHF+6T1P2zTi0plX0xCimjWfQgQ56bYiHThquEgwDwjhXr4ioGBVNqABp4JSIFPgSRQGf+8eaGzZQRVVBVe2332eMPVj7WXPtPfd21nLPueZ6piICMzMzMzMzK0+fK3QFzMzMzMzMrP2402dmZmZmZlbG3OkzMzMzMzMrY+70mZmZmZmZlTF3+szMzMzMzMqYO31mZmZmZmZlzJ0+MzMzMzOzMuZOX5mR9BeS1kn6UFK9pF9KurTQ9TJriqQtkj5ObTb3+NNC18usMam9fu2I2BRJzxaqTmbHktrsO5K+mBf7lqTVBayW2TGl8+prkj6S9LakRyV1LXS9Spk7fWVE0u3AQ8A9QE+gD/Bj4NpC1susBf7PiDg17/G/C10hM7My0gm4pdCVMGsJSX8N3Af8V+B04BLgS8AKSScXsm6lzJ2+MiHpdOAuYHpE/Dwi/hgR+yLi/4mI/1ro+pmZmVnB/Hfgb3ylxIqdpC7AncB3I2J5+i27BZgA9AX+UwGrV9Lc6SsfXwH+BPhFoStiZmZmRWUdsBr4mwLXw6w5/5Hs9+zP84MR8SGwDBhViEqVA3f6ykc34N2I2F/oipgdh3+TtCc9/q3QlTFrRn573UM2jd6s2P034LuSuhe6ImbHcBZN/56tT/vtOLjTVz52AWdJ6lzoipgdh+siomt6XFfoypg1I7+9dgW+U+gKmTUnIl4HngJqC10Xs2N4l6Z/z1al/XYc3OkrH88DnwD+wWxmZmaNmQV8G+hV6IqYNSH3e/aG/KCkU4GrgJWFqFQ5cKevTETEe2RTNx6RdJ2kL0g6SdJVku4vdP3MzMyssCKiDvgZ8F8KXRezxqTfs3cCP5I0Ov2W7Qs8CWwDHi9g9UqapwKWkYh4QNLbwPeAJ4APgJeAuwtaMTMzMysWdwHfKHQlzJoSEfdL2gX8ADgPeB/4N+CmiPikoJUrYYqIQtfBzMzMzMzM2omnd5qZmZmZmZUxd/rMzMzMzMzKmDt9ZmZmZmZmZcydPjMzMzMzszLmTp+ZmZmZmVkZK9klG84666zo27dvoathJeqll156NyK6d+R7us3aiXCbtVLjNmulxm3WSlFL223Jdvr69u3LunXrCl0NK1GS/tDR7+k2ayfCbdZKjduslRq3WStFLW23nt5pZmZmZmZWxlrc6ZPUSdIrkp5Kz8+R9IKkOkk/k3Ryip+Sntel/X3zXuOOFP+tpCvz4qNTrE5Sbdt9PDMzMzMzs8rWmit9twBv5j2/D3gwIs4HdgNTU3wqsDvFH0zlkDQAmAgMBEYDP04dyU7AI8BVwABgUiprZlYRtm7dyogRIxgwYAADBw5kzpw5ADQ0NDBq1Cj69esH0E/SGQDKPJwGyn4j6eLca0mqkbQxPWry4kMkvZaOeViSOvhjmpmZWYG0qNMnqTdwDfCT9FzA5cDiVGQBcF3avjY9J+0fmcpfCyyKiE8iYjNQBwxLj7qI2BQRnwKLUlkzs4rQuXNnHnjgATZs2MCaNWt45JFH2LBhA7Nnz2bkyJFs3LgR4AMgNxPiKqBfekwDHgWQdCYwC6gmO7fOynUUU5lv5x03uoM+npmZmRVYS6/0PQT8LfBZet4N2BMR+9PzbUCvtN0L2AqQ9r+Xyh+MH3FMU/GjSJomaZ2kdTt37mxh1c3MiltVVRUXX5xdrDvttNPo378/27dvZ8mSJdTUHLxYt4vDB9cei8waoKukKuBKYEVENETEbmAFMDrt6xIRayIigMfyXsvMzMzKXLPZOyWNAd6JiJckDW//KjUtIuYCcwGGDh0ahaxLuetb+/QJv8aW2de0QU3KX1t81y3l/ybFb8uWLbzyyitUV1ezY8cOqqqqcrv2AV9K260dROuVto+MWysd6+/Vf1/Frb3Otf7vbu2lI38fNMXtu3y0ZMmGrwJjJV0N/AnQBZhDNrLcOV3N6w1sT+W3A2cD2yR1Bk4nG6HOxXPyj2kqbiXsRE9WPtFYpfnwww8ZN24cDz30EF26dGmsSLsPdkmaRjZllD59+rT325mZmVkHaHZ6Z0TcERG9I6IvWSKWVRFxE/BrYHwqVgMsSdtL03PS/lVpOtFSYGLK7nkO2T0la4EXyRIUnJMygE5MZc3MKsa+ffsYN24cN910EzfccAMAPXv2pL6+PlfkJOCdtN3UINqx4r0biR8lIuZGxNCIGNq9e4euUWxmZmbt5ETW6ZsJ3C6pjuyevXkpPg/oluK3kxIPRMQbwJPABmA5MD0iDqQrhTOAZ8iygz6ZypqZVYSIYOrUqfTv35/bb7/9YHzs2LEsWJDLi0U3Dh9cm5yyeF4CvBcR9WTn0SsknZESuFwBPJP2vS/pkpRYa3Lea5mZmVmZa8n0zoMiYjWwOm1vIssOd2SZvcCNTRx/N3B3I/FlwLLW1MXMrFw899xzPP7443z5y19m8ODBANxzzz3U1tYyYcIE5s2bB9nU+tnpkGXA1WRZkD8CvgkQEQ2Svk82gwLgrohoSNvfAX4KfB74ZXqYmZlZBWhVp8/MzNrepZdeSjYL/mgrV64EQNLvch24NGV+emPlI2I+ML+R+DpgUBtV2czMzErIiUzvNCs5N998Mz169AAYmItJ+u+S3kqLXP9CUte8fXekxax/K+nKvPjoFKuTVIuZmZmZWZFyp88qypQpU1i+fPmR4RXAoIi4APgdcAeApAFkiYUGki1k/WNJnSR1Ah4hWyB7ADAplTUzMzMzKzru9FlFueyyyzjzzDMPi0XEr1JCIYA1HMpyeC2wKCI+iYjNZPdPDUuPuojYFBGfAotSWTMzMzOzouNOn9nhbuZQgovWLoB9FEnTJK2TtG7nzp3tUF0zMzNrqb59+x5MmjV06FAAGhoaGDVqFMAgSStS9mNShuSH060cv5F0ce51JNVI2pgeNXnxIZJeS8c8nDImmxWcO31miaT/C9gPPNFWr+k1z8zMzIrLr3/9a9avX8+6desAmD17NiNHjgR4HVhJWm6M7DaOfukxDXgUQNKZwCygmmz2z6xcRzGV+XbecaM74COZNcudPjNA0hRgDHBTHEqj2NoFsM3MzKzELFmyhJqagxfrFgDXpe1rgcciswboKqkKuBJYERENEbGbLDfA6LSvS0SsSb8lHst7LbOCcqfPKp6k0cDfAmMj4qO8XUuBiZJOkXQO2YjdWrI10PpJOkfSyWTJXpZ2dL3NzMysdSRxxRVXMGTIEObOnQvAjh07qKqqyhV5G+iZtlt7m0evtH1k/Mg6+NYP63Bep88qyqRJk1i9ejXAKZK2kU3PuAM4BViRpt6viYi/jIg3JD0JbCCb9jk9Ig4ASJoBPAN0AuZHxBsd/mHMzMysVZ599ll69erFO++8w6hRo/jzP//zw/ZHREhqfOHUNhIRc4G5AEOHDm3X9zLL8ZU+qygLFy6kvr4e4OWI6B0R8yLi/Ig4OyIGp8df5spHxN0RcV5E/FlE/DIvviwi/o+07+5CfBYzs0I7cOAAF110EWPGjAFg8+bNVFdXc/755wOcm2ZDkGZM/Cwlt3hBUt/ca3g9VOtIvXplF9569OjB9ddfz9q1a+nZs2futwFpiuY7qXhrb/PYzqEM4Plxs4Jzp8/MzMyOy5w5c+jfv//B5zNnzuS2226jrq4OshkSU9OuqcDuiDgfeBC4D7weqnWsP/7xj3zwwQcHt3/1q18xaNAgxo4dy4IFC3LFaoAlaXspMDll8bwEeC8i6slm+lwh6YyUwOUK4Jm0731Jl6SsnZPzXsusoNzpMzMzs1bbtm0bTz/9NN/61rcAiAhWrVrF+PHjc0V2cXhCjNyv6sXAyPSj2OuhWofZsWMHl156KRdeeCHDhg3jmmuuYfTo0dTW1rJixQqAQcDXgNnpkGXAJrJ2+U/AdwAiogH4Ptk9/i8Cd6UYqcxP0jG/59AyUGYF5Xv6zMzMrNVuvfVW7r///oNXTnbt2kXXrl3p3PngT4tPOZTE4mDii4jYL+k9oFuKr8l72fzEF0cmyqhuj89hlePcc8/l1VdfPSrerVs3Vq5ciaTXI+JruXjKwDm9sdeKiPnA/Ebi68g6j2ZFxVf6zMzMrFWeeuopevTowZAhQwpdFWdCNDNrAV/pMzOzitO39ukm922ZfU0H1qQ0PffccyxdupRly5axd+9e3n//fW655Rb27NnD/v37c1f7Tgb+PR2SS3yxTVJn4HSy6Z/HWve0ReuhOhOimVnzfKXPzMzMWuXee+9l27ZtbNmyhUWLFnH55ZfzxBNPMGLECBYvXpwr1o3DE2LkVr8eD6xKU+e8HqqZWQdwp8/MzMzaxH333ccPf/jD3JINnYF5adc8oJukOuB2oBYgrXGaWw91OWk91IjYD+TWQ30TeNLroZqZHT9P7zQzM8tzrKmfdrThw4czfPhwIEuUsXbtWgAkbYqITwAiYi9wY2PHp7VOj1rvNCKWkWVPNDOzE+QrfWZmZmZmZmXMnT4zMzMzM7My5k6fmZmZmZlZGXOnz8zMzMzMrIy502dmZmZmZlbG3OkzMzMzMzMrY+70mZmZmZmZlTF3+qyi3HzzzfTo0QNgYC4m6UxJKyRtTP+ekeKS9LCkOkm/kXRx3jE1qfxGSTUd/0nMzMzMzFrGi7NbRZkyZQozZsxgyJAh+eFaYGVEzJZUm57PBK4C+qVHNfAoUC3pTGAWMBQI4CVJSyNidwd+FDMzM7N21bf26YK+/5bZ1xT0/cuJr/RZRbnssss488wzjwxfCyxI2wuA6/Lij0VmDdBVUhVwJbAiIhpSR28FMLr9a29mZmZm1nru9JlBz4ioT9tvAz3Tdi9ga165bSnWVNzMzMzMrOi402eWJyKCbMpmm5A0TdI6Set27tzZVi9rZmZmZtZizXb6JP2JpLWSXpX0hqQ7U/wcSS+kJBc/k3Ryip+Sntel/X3zXuuOFP+tpCvz4qNTrC7dU2XWkXakaZukf99J8e3A2XnleqdYU/GjRMTciBgaEUO7d+/e5hU3MzMzM2tOS670fQJcHhEXAoOB0ZIuAe4DHoyI84HdwNRUfiqwO8UfTOWQNACYSJY1cTTwY0mdJHUCHiFLmjEAmJTKmnWUpUAuA2cNsCQvPjll8bwEeC9NA30GuELSGSnT5xUpZnbccpllBw0adDD293//9/Tq1YvBgwcDDJB0dW5fawfRmhqoMzMzs/LXbKcvJbH4MD09KT0CuBxYnOJHJr/IJcVYDIyUpBRfFBGfRMRmoA4Ylh51EbEpIj4FFqWyZm1u0qRJfOUrXwE4RdI2SVOB2cAoSRuBr6XnAMuATWRt9Z+A7wBERAPwfeDF9LgrxcyO25QpU1i+fPlR8dtuu43169cDbIiIZXDcg2hNDdSZmVWMAwcOcNFFFzFmzBgANm/eTHV1Neeffz7AuZ65ZuWqRff0pR8T68mmva0Afg/siYj9qUh+IouDSS7S/veAbjgphhWBhQsXUl9fD/ByRPSOiHkRsSsiRkZEv4j4Wq4DlwY8pkfEeRHx5YhYl3udiJgfEeenxz8X6vNY+Wgis2xTWjWIlgbemhqoMzOrGHPmzKF///4Hn8+cOZPbbruNuro6gP145pqVqRZ1+iLiQEQMJrt3aRjw5+1aqyY4KYaZVZp//Md/5IILLgDom6YTQ+sH0brR9ECdmVlF2LZtG08//TTf+ta3AIgIVq1axfjx43NFduGZa1amWpW9MyL2AL8GvkK2Zllucff8RBYHk1yk/aeT/RE5KYaZWSv81V/9Fb///e9z0zv3AQ+093t6cM3MytWtt97K/fffz+c+l/383bVrF127dqVz59zPWT7FM9esTHVuroCk7sC+iNgj6fPAKLJL3L8GxpONZByZ/KIGeD7tXxURIWkp8C+Sfgj8KdAPWAsI6CfpHLLO3kTgL9ruI5qZlaaePXvmP91JNpIMxx4sayy+izRQl368HHNwDZgLMHTo0DZbvqSS9a19usl9W2Zf04E1MatcTz31FD169GDIkCGsXr26oHWRNA2YBtCnT5+C1sUqR7OdPqAKWJDmKn8OeDIinpK0AVgk6R+AV4B5qfw84HFJdUADWSeOiHhD0pPABrI509Mj4gCApBlk2Q87AfMj4o02+4RmZiWqvr6eqqqq3NOuwP+Xtls1iJYG3poaqDMzK3vPPfccS5cuZdmyZezdu5f333+fW265hT179rB///7c1b6TgX9Ph+QG17a1cOYax4gfxoNrVgjNdvoi4jfARY3EN3Fo1Dk/vhe4sYnXuhu4u5H4MrJMiWZmFWnSpEmsXr2ad999l969e3PnnXeyevVq1q9fT3YbCV2A2+C4B9Fm0vhAnZlZ2bv33nu59957AVi9ejU/+MEPeOKJJ7jxxhtZvHgxEydOhGz65o/SIZ65ZmWlJVf6zMysnS1cuPCo2NSph1ZVkFSX1okEWj+I1tRAnZlZJbvvvvuYOHEi3/ve9yD7XeyZa1aW3OkzMzMzs4oxfPhwhg8fDsC5557L2rVrAZC0KSI+Ac9cs/LTquydZmZmZmZmVlrc6TMzMzMzMytj7vSZmZmZmZmVMXf6zMzMrNX27t3LsGHDuPDCCxk4cCCzZs0CYPPmzVRXVwMMkvQzSScDSDolPa+T9IKkvrnXknRHiv9W0pV58dEpVieptkM/oJlZGXGnz8zMzFrtlFNOYdWqVbz66qusX7+e5cuXs2bNGmbOnMltt90G8DqwG8iloZ0K7I6I84EHgfsAJA0gy4w4EBgN/FhSp7Q+8CPAVcAAYFIqa2ZmreROn5mZmbWaJE499VQA9u3bx759+5DEqlWrGD9+fK7YAuC6tH1teg6wGBipbBHKa4FFEfFJRGwG6siWFxkG1EXEpoj4FFiUypqZWSt5yQYzMytLfWufLnQVyt6BAwcYMmQIdXV1TJ8+nfPOO4+uXbvSufPBnxfbgF5puxewFSAi9kt6j2wx7F7AmryXzT9m6xHx6iPrIGkaMA2gT58+bfPBzMzKjK/0mZmZ2XHp1KkT69evZ9u2baxdu5a33nqrw+sQEXMjYmhEDO3evXuHv7+ZWSlwp8/MzMxOSNeuXRkxYgTPP/88e/bsYf/+/bldvYHtaXs7cDaApM7A6cCu/PgRxzQVNzOzVnKnzyyRdJukNyS9LmmhpD+RdE7KMlfX0ix0ZmaVYOfOnezZsweAjz/+mBUrVtC/f39GjBjB4sWLc8VqgCVpe2l6DjAeWBURkeIT03n1HKAfsBZ4EeiXzsMnkyV7WdoRn83MrNz4nj4zQFIv4L8AAyLiY0lPkv3AuBp4MCIWSfofZNnnHiUvC52kiWRZ6L5eoOqbmXW4+vp6ampqOHDgAJ999hkTJkxgzJgxDBgwgIkTJwIMAjYD89Ih84DHJdUBDWTnWCLijXTO3QDsB6ZHxAEASTOAZ4BOwPyIeKMjP6OZWblwp8/skM7A5yXtA74A1AOXA3+R9i8A/p6s03dt2oYsC90/SlIatTYzK3sXXHABr7zyylHxc889l7Vr1yLp9Yi4MRePiL3AjUcdkO27G7i7kfgyYFnb1drMrDJ5eqcZEBHbgR8A/07W2XsPeAnYExG5m1OazEKXync78nUlTZO0TtK6nTt3tu+HMDMzMzNrhDt9ZoCkM8iu3p0D/CnwRbJFgk+Is8qZmZmZWaG502eW+RqwOSJ2RsQ+4OfAV4GuKcsctCwLnZmZmZlZUXGnzyzz78Alkr4gScBIsqQCvybLMgcty0JnZmZmZlZU3OkzAyLiBbKELC8Dr5H9bcwFZgK3p2xz3Tg8C123FL8dqO3wSpuZmZmZtYCzd5olETELmHVEeBMwrJGyTWahMzMzMzMrJu70mZmZtYG+tU8XugpmZmaN8vROMzMzMzOzMuZOn5mZmZmVvb179zJs2DAuvPBCBg4cyKxZ2R0dmzdvprq6GmCQpJ9JOhlA0inpeZ2kFyT1zb2WpDtS/LeSrsyLj06xOkm+39+Khjt9ZmZmZlb2TjnlFFatWsWrr77K+vXrWb58OWvWrGHmzJncdtttAK8Du4Gp6ZCpwO6IOB94ELgPQNIAYCIwkGxN3x9L6iSpE/AIcBUwAJiUypoVnDt9ZmZmZlb2JHHqqacCsG/fPvbt24ckVq1axfjxudWZWABcl7avTc8hy/A9Mi3rdC2wKCI+iYjNQB1Z0rdhQF1EbIqIT4FFqaxZwbnTZ2ZmZmYV4cCBAwwePJgePXowatQozjvvPLp27UrnzgdzG24DeqXtXsBWgIjYD7xHtnzTwfgRxzQVNys4Z++0onWimfC2zL6mjWpiZmZm5aBTp06sX7+ePXv2cP311/PWW291eB0kTQOmAfTp06fD398qk6/0mZmZmVlF6dq1KyNGjOD5559nz5497N+/P7erN7A9bW8HzgaQ1Bk4HdiVHz/imKbih4mIuRExNCKGdu/evQ0/lVnT3OkzMzMzs7K3c+dO9uzZA8DHH3/MihUr6N+/PyNGjGDx4sW5YjXAkrS9ND0HGA+siohI8Ykpu+c5QD9gLfAi0E/SOSkD6MRU1qzgPL3TzMzMzMpefX09NTU1HDhwgM8++4wJEyYwZswYBgwYwMSJEwEGAZuBeemQecDjkuqABrJOHBHxhqQngQ3AfmB6RBwAkDQDeAboBMyPiDc68jOaNaXZTp+ks4HHgJ5AAHMjYo6kM4GfAX2BLcCEiNidshrNAa4GPgKmRMTL6bVqgO+ll/6HiFiQ4kOAnwKfB5YBt6SRFDMzMzOzE3bBBRfwyiuvHBU/99xzWbt2LZJej4gbc/GI2AvceNQB2b67gbsbiS8j+y1rVlRaMr1zP/DXETEAuASYntYcqQVWRkQ/YGV6DtnaJP3SYxrwKEDqJM4CqslS2s6SdEY65lHg23nHjT7xj2ZmVjpuvvlmevTowaBBgw7GGhoaGDVqFP369YNsytAZAMo8nBb//Y2ki3PHSKqRtDE9avLiQyS9lo55OA3QmZmZWQVo9kpfRNQD9Wn7A0lvkqWfvRYYnootAFYDM1P8sXSlbo2krpKqUtkVEdEAIGkFMFrSaqBLRKxJ8cfI1kf5Zdt8xMp0opkvzaxjTZkyhRkzZjB58uSDsdmzZzNy5Ehqa2uR9AHZ4NpMDh9cqyYbOKvOG1wbSjYz4yVJSyNiN4cG114gG4Uejc+zZmZmFaFViVwk9QUuIvvR0DN1CAHeJpv+Ca1fu6RX2j4ybmZWMS677DLOPPPMw2JLliyhpubgxbpdHL5g8GORWQPkBteuJA2upY5ebnCtijS4lgbkHst7LTMzMytzLe70SToV+Ffg1oh4P39f+hHR7vfgSZomaZ2kdTt37mzvtzMzK6gdO3ZQVVWVe7qPDhhc83nWzMys/LSo0yfpJLIO3xMR8fMU3pFGj0n/vpPirV27ZHvaPjJ+FK9rYu0pTUVeLOktSW9K+oqkMyWtSPdHrWjJPVVm7ajdB9d8njUzMys/LcneKbKUtW9GxA/zduXWLpnN0WuazJC0iOxek/ciol7SM8A9eclbrgDuiIgGSe9LuoRs2uhk4Edt8NnMWmsOsDwixqf1db4A/B1ZwqLZkmpp5p6qwlTbylXPnj2pr6/PXe07iZYNrg0/Ir6aVgyulRrfv2yF1h5tcMvsa9r8Nc2ssrXkSt9XgW8Al0tanx5Xk3X2RknaCHwtPYcsQcAmoA74J+A7ACmBy/fJFq58Ebgrl9QllflJOub3OLmAdTBJpwOXkdbmiYhPI2IP2b1TC1KxBTR/T5VZmxk7diwLFuSaH904fHBtcrrifAlpcI1sbagrJJ2RBtiuAJ5J+96XdEkayJuc91pmZmZW5lqSvfNZoKnU3iMbKR/A9CZeaz4wv5H4OrIFMc0K5RxgJ/DPki4EXgJuofUJi+oxOw6TJk1i9erVvPvuu/Tu3Zs777yT2tpaJkyYwLx58wC6cPjg2tVkA2UfAd+EbHBNUm5wDY4eXPsp2Xqov8SDa2ZmZhWj2U6fWYXoDFwMfDciXpA0h0NrTwLZgIakVt1TJWka2XqV9OnTp63qamVo4cKFjcZXrlwJgKTf5TpwHlyzQtu6dSuTJ09mx44dSGLatGnccsstNDQ08PWvf50tW7ZAWlsyInanK8xzyAYrPgKmRMTLkK0tCXwvvfQ/RMSCFB/CoYGKZcAtqe2bmVkrtWrJBrMytg3YFhEvpOeLyTqBrU1YdBgnxTCzctS5c2ceeOABNmzYwJo1a3jkkUfYsGHDwbUlN27cCJBbWxIOvw96Gtl90OStLVkNDANm5d37n1tbMnfc6A76eGZmZcedPjMgIt4Gtkr6sxQaCWzgUMIiODphUWP3VJmZlb2qqiouvjhLWnzaaafRv39/tm/f7rUlzcyKlKd3mh3yXeCJlLlzE9l9Up8DnpQ0FfgDMCGVbfSeKjOzSrNlyxZeeeUVqqurG1tb8ktpu93WljQzs+a502eWRMR6YGgju1qVsMjMrFJ8+OGHjBs3joceeoguXbo0VqTd78HzvdNmZs3z9E4zMzNrtX379jFu3DhuuukmbrjhBuDQ2pJJS9eWbCreorUlfe+0mVnz3OkzMzOzVokIpk6dSv/+/bn99tsPxr22pJlZcXKnz8zMzFrlueee4/HHH2fVqlUMHjyYwYMHs2zZMmpra1mxYgX9+vWDo9eW3ER2H/Q/ka0bSVqGJLe25IscvbbkT9Ixv8drS5qZHTff02dmZmatcumll9LUknleW9LMrPj4Sp+ZmZmZmVkZc6fPzMzMzMysjLnTZ2ZmZmZmVsbc6TMzMzOzsrd161ZGjBjBgAEDGDhwIHPmzAGgoaGBUaNGAQyStCJlkiVlm31YUp2k30i6OPdakmokbUyPmrz4EEmvpWMeTtlnzQrOnT4zMzMzK3udO3fmgQceYMOGDaxZs4ZHHnmEDRs2MHv2bEaOHAnwOrC+UWs8AAAQuUlEQVQSqE2HXAX0S49pwKMAks4EZgHVwDBgVq6jmMp8O++40R3z6cyOzZ0+MzMzMyt7VVVVXHxxdrHutNNOo3///mzfvp0lS5ZQU3PwYt0C4Lq0fS3wWGTWAF0lVQFXAisioiEidgMrgNFpX5eIWJMy1j6W91pmBeVOn5mZmZlVlC1btvDKK69QXV3Njh07qKqqyu16G+iZtnsBW/MO25Zix4pvayR+GEnTJK2TtG7nzp1t8nnMmuNOn5mZmZlVjA8//JBx48bx0EMP0aVLl8P2pSt0jS9C2UYiYm5EDI2Iod27d2/PtzI7yJ0+MzMzM6sI+/btY9y4cdx0003ccMMNAPTs2ZP6+noA0hTNd1Lx7cDZeYf3TrFjxXs3EjcruM6FroCZlZ++tU93yPtsmX1Nh7yPWSEc6+/Ibd+s9SKCqVOn0r9/f26//faD8bFjx7JgwYLc0xpgSdpeCsyQtIgsact7EVEv6RngnrzkLVcAd0REg6T3JV0CvABMBn7U/p/MrHnu9JmZmZlZ2Xvuued4/PHH+fKXv8zgwYMBuOeee6itrWXChAkAg4A9wIR0yDLgaqAO+Aj4JkDq3H0feDGVuysiGtL2d4CfAp8HfpkeZgXnTp9ZIqkTsA7YHhFjJJ0DLAK6AS8B34iITyWdQpaRawiwC/h6RGwpULXNzMysBS699FKyW/aOtnLlSiS9HhFfy8XS/X3TGysfEfOB+Y3E15F1Hs2Kiu/pMzvkFuDNvOf3AQ9GxPnAbmBqik8Fdqf4g6mcmZmZmVlRcqfPDJDUG7gG+El6LuByYHEqcuS6PbnJ/4uBkam8mZmZmVnRcafPLPMQ8LfAZ+l5N2BPROxPz/PX2jm4Pk/a/14qb2ZmZmZWdNzps4onaQzwTkS81A6v7QVYzczMzKyg3Okzg68CYyVtIUvccjkwB+gqKZfsKH+tnYPr86T9p5MldDmKF2A1MzMzs0Jz9k6reBFxB3AHgKThwN9ExE2S/icwnqwjeOS6PTXA82n/qmgqHZiZnbCOWvfRzMysXPlKn1nTZgK3S6oju2dvXorPA7ql+O1AbYHqZ2ZmZmbWLF/pM8sTEauB1Wl7EzCskTJ7gRs7tGJmZmZmZsfJV/rMzMzMzMzKWLOdPknzJb0j6fW82JmSVkjamP49I8Ul6WFJdZJ+I+nivGNqUvmNkmry4kMkvZaOedjrnZmZmZmZmbWdllzp+ykw+ohYLbAyIvoBKzl0T9NVQL/0mAY8ClknEZgFVJNNl5uV6yimMt/OO+7I9zIzq2h9+/YFGCBpvaR10LaDb2ZmZlbemu30RcT/AhqOCF8LLEjbC4Dr8uKPRWYNWcr7KuBKYEVENETEbmAFMDrt6xIRa1L2w8fyXsvMzA75XUQMjoih6XlbDr6ZmZlZGTvee/p6RkR92n4b6Jm2ewFb88ptS7Fjxbc1Ejczs2Nrk8G3jq60mZmZdbwTTuSSrtB1yBplkqZJWidp3c6dOzviLc3MCi7d6txP0kuSpqVwWw2+HflePs+amZmVmePt9O1II8ekf99J8e3A2XnleqfYseK9G4k3KiLmRsTQiBjavXv346y6mVlpefbZZwHeJJu6OV3SZfn723LwzedZa6mbb76ZHj16MGjQoIOxhoYGRo0aRb9+/SAbqHCiNzOzInC8nb6lQO7EXAMsyYtPTif3S4D30kj0M8AVks5I/wO4Angm7Xtf0iXpZD4577XMzAzo1Su7IBcR7wC/ILsnr60G38yOy5QpU1i+fPlhsdmzZzNy5Eg2btwI8AFO9GZmVhSaXZxd0kJgOHCWpG1kJ+fZwJOSpgJ/ACak4suAq4E64CPgmwAR0SDp+8CLqdxdEZFLDvMdsgyhnwd+mR5mZgb88Y9/5LPPPgNA0hfJBs3u4tDg22yOHnybIWkR2Q/p9yKiXtIzwD15P6ivAO7osA9iZeeyyy5jy5Yth8WWLFnC6tWrc093kd1rOpO8e02BNZJy95oOJ91rCiApl+htNSnRW4rnEr35N4JZBelb+3Shq8CW2dcUugptotlOX0RMamLXyEbKBjC9ideZD8xvJL4OGHT0EWZmtmPHDq6//nqAAcBa4F8iYrmkF2m7wTezNrFjxw6qqqpyT/cBX0rb7ZboLd3nOg2gT58+J/YBzMzKVLOdPjMzK5xzzz2XV199FUkb8pZrICJ20UaDb2btqN0TvUXEXGAuwNChQzsksZyZWak54eydZmZmZgA9e/akvj6XVJaT6KBEb2Zmdmzu9JmZmVmbGDt2LAsW5JaPpBtO9GZFxBlnrZJ5eqeZmVmBFEOSguM1adIkVq9ezbvvvkvv3r258847qa2tZcKECcybNw+gC1miIXCit1Zpr3ZRLgkpjteUKVOYMWMGkydPPhjLZZytra1FUi7j7EwOzzhbTZZNtjov4+xQsunLL0laGhG7OZRx9gWyNj+aCmq3Vtzc6TMzM7NWW7hwYaPxlStXAiDpd7kOnBO9WTFwxlmrZJ7eaWZmZmYVqZGMsz3TdrtmnJW0TtK6nTt3nvBnMGsJX+krQqU83adUSTobeIzsZB/A3IiYk6Zx/AzoC2wBJkTE7jRPfw7ZdKWPgCkR8XIh6m5mZmZtxhlnrSz5Sp9ZZj/w1xExALgEmC5pANnc/pUR0Q9YmZ7D4XP9p5HN4zczM7MS4oyzVinc6TMDIqI+d6UuIj4A3iSblnEtkEtFt4Bsfj7kzfVP8/dzc/3NzMysRDjjrFUKT+80O4KkvsBFZNm3eqYTOcDbND/Xvz4vhqRpZFcC6dOnT7vV2azUeVq7mbU3Z5y1SuZOn1keSacC/wrcGhHv5y+xExEhqVVz7z1v38zMrDg446xVMk/vNEsknUTW4XsiIn6ewjty0zbTv83N9TczMzMzKyq+0mcGpPn384A3I+KHebuWAjVk0z1qOHyu/wxJi8gWbX0vbxpo0fIUOjMzM7PK406fWearwDeA1yStT7G/I+vsPSlpKvAHYELa1+hcfzMzMzOzYuNOnxkQEc8CamL3yEbKNznX38zMzMysmPiePjMzMzMzszLmTp+ZmZmZmVkZc6fPzMzMzMysjPmePjMzszJyrCy9W2Zf04E1MTOzYuErfWZmZmZmZmXMnT4zMzMzM7My5umdZmbWIY417dDMzMzaj6/0mZmZmZmZlTF3+szMzMzMzMqYp3eamZmZVYD2mmLtrLBmxc9X+szMzMzMzMqYO31mZmZmZmZlzNM724Ez1JmZmZmZWbHwlT4zMzMzM7My5it9ZmbWZjzToWP4ezYzs9Yomit9kkZL+q2kOkm1ha6PWXPcZq3UuM1aqXGbtVLkdmvFqCiu9EnqBDwCjAK2AS9KWhoRGwpbM7PGuc1aqXGbteYc6+phIVLyu82WDi8FcYjbbfkphpkVbfG3UBSdPmAYUBcRmwAkLQKuBfwHYsXKbdZKTZu12WL4H6BVBJ9nrRS53VpRKpZOXy9ga97zbUB1geriHzTWEkXVZs1awG3WSu3/b26zFa5EryC63VpRKpZOX4tImgZMS08/lPTbAlXlLODdAr13S1V8HXXfMXd/qb3e97A6FE+bzSmFdtFiuq+8Pg/H/u9TiDb7iaTXO+J9S0i5tbkWaeZ82tR3Uinn2VJqE6VUV2in+h6jPVdKm22NUmsz7aHg30Fb/KYtlk7fduDsvOe9U+wwETEXmNtRlWqKpHURMbTQ9TgW17HdlVSbzSnx7/wo/jyt0uo2W27fb1vwd3K0dvxOSuI8W0ptopTqCqVX36TZdlvoNtsaJfrfoE2Vy3dQLNk7XwT6STpH0snARGBpgetkdixus1Zq3Gat1LjNWilyu7WiVBRX+iJiv6QZwDNAJ2B+RLxR4GqZNclt1kqN26yVGrdZK0Vut1asiqLTBxARy4Blha5HC5XCJXnXsZ2VWJvNKenvvBH+PK1wHG223L7ftuDv5Gjt9p2UyHm2lNpEKdUVSq++QMm025Yqyf8GbawsvgNFRKHrYGZmZmZmZu2kWO7pMzMzMzMzs3bgTl8jJJ0t6deSNkh6Q9ItjZQZLuk9SevT478VqK5bJL2W6rCukf2S9LCkOkm/kXRxB9fvz/K+o/WS3pd06xFliuK7LFctac+lSFInSa9IeqrQdWkLkrpKWizpLUlvSvpKAesyWtJv03mjtlD1KCRJ8yW9k79khaQzJa2QtDH9e0Yh69jRmjqXVOL3Uqrn1VI6bxbTObHSlGr7bi+l9HdzLJ7e2QhJVUBVRLws6TTgJeC6iNiQV2Y48DcRMaZA1czVYwswNCIaXT9E0tXAd4GryRYHnRMRBVkkVFInsrTF1RHxh7z4cIrguyxXLWnPpUjS7cBQoEs5tB1JC4D/NyJ+kjK+fSEi9hSgHp2A3wGjyBYVfhGYVOrtpbUkXQZ8CDwWEYNS7H6gISJmp87wGRExs5D17EhNnUuAKVTY91Kq59VSOm8WyzmxEpVq+24vpfR3cyy+0teIiKiPiJfT9gfAm0CvwtbquF1L9qMlImIN0DX9MRfCSOD3+R0+a39l1p4BkNQbuAb4SaHr0hYknQ5cBswDiIhPC/jjZhhQFxGbIuJTYBHZeaSiRMT/AhqOCF8LLEjbC8g6PBXjGOeSivteSvG8WkrnzSI7J1acUmzf7aWU/m6a405fMyT1BS4CXmhk91ckvSrpl5IGdmjFDgngV5JekjStkf29gK15z7dRuD/cicDCJvYVw3dZ9pppz6XkIeBvgc8KXZE2cg6wE/jnNIXkJ5K+WKC6FNM5o9j0jIj6tP020LOQlSmkI84lFf29lNB5tZTOm8V0TqxoJdS+20sp/d0ckzt9xyDpVOBfgVsj4v0jdr8MfCkiLgR+BPxbR9cvuTQiLgauAqanKUlFJ03NGAv8z0Z2F8t3Wdaaac8lQ9IY4J2IeKnQdWlDnYGLgUcj4iLgj0BF3ktXKiK7N6Ii74841rmk0r6XUjmvluB50+fEIlAq7bu9lODfzTG509cESSeRNfQnIuLnR+6PiPcj4sO0vQw4SdJZHVxNImJ7+vcd4BdkU7PybQfOznveO8U62lXAyxGx48gdxfJdlrPm2nOJ+SowNt3Pugi4XNL/XdgqnbBtwLaIyI2kLib7wVMIxXLOKEY7ctPj07/vFLg+Ha6Jc0lFfi8ldl4ttfNmMZ0TK1KJte/2Ump/N8fkTl8jJIlsHvmbEfHDJsr8h1QOScPIvstdHVdLkPTFdIMtadrDFcDrRxRbCkxW5hLgvbxpOB1pEk1M7SyG77KctaQ9l5KIuCMiekdEX7Ipw6si4j8VuFonJCLeBrZK+rMUGgkU6ob5F4F+ks5JV+gnkp1HLPseatJ2DbCkgHXpcMc4l1Tc91Jq59VSO28W2Tmx4pRa+24vpfZ305zOha5Akfoq8A3gNUnrU+zvgD4AEfE/gPHAX0naD3wMTIyOT4XaE/hF6i91Bv4lIpZL+su8ei4jy9xZB3wEfLOD65jrkI4C/nNeLL+OxfBdlrNG23O6qmrF47vAE6mjtYkC/K0CRMR+STOAZ4BOwPyIeKMQdSkkSQuB4cBZkrYBs4DZwJOSpgJ/ACYUroYF0dT/Gyvxe/F5tf0VxTmxQrl9lyEv2WBmZmZmZlbGPL3TzMzMzMysjLnTZ2ZmZmZmVsbc6TMzMzMzMytj7vSZmZmZmZmVMXf6zMzMzMzMypg7fWZmZmZmZmXMnT4zMzMzM7My5k6fmZmZmZlZGfv/AW0ojWCkrWbJAAAAAElFTkSuQmCC\n"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"num_atoms = atom_counts.sum(axis=1)\nplt.figure(figsize=(7,7))\nnum_atoms.hist(bins=np.arange(num_atoms.max()) + 1)\nplt.title('Atom Count Histogram')\nplt.show()","execution_count":5,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 504x504 with 1 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"# Positions <a id=\"positoins\"></a>"},{"metadata":{"trusted":true},"cell_type":"code","source":"fig, axs = plt.subplots(5, 3, figsize=(15, 15))\nfor i, a in enumerate(atoms):\n    axs[i, 0].set_ylabel(a, rotation=0, size='large')\n    df_atom = df_structure[df_structure['atom'] == a]\n    for j, d in enumerate(['x', 'y', 'z']):\n        axs[i, j].hist(df_atom[d], bins=50)\nfor j, d in enumerate(['x', 'y', 'z']):\n    axs[0, j].set_title(d)\nplt.tight_layout()\nplt.show()","execution_count":6,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1080x1080 with 15 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"Essentially zero repetition in position values."},{"metadata":{"trusted":true},"cell_type":"code","source":"pd.concat([df_structure[d].value_counts().value_counts() for d in dims], axis=1).fillna(0).astype(int)","execution_count":7,"outputs":[{"output_type":"execute_result","execution_count":7,"data":{"text/plain":"          x        y        z\n1   2358225  2358094  2358196\n2       216      269      223\n6         0        0        1\n9         0        0        1\n25        0        1        0","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>x</th>\n      <th>y</th>\n      <th>z</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>1</th>\n      <td>2358225</td>\n      <td>2358094</td>\n      <td>2358196</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>216</td>\n      <td>269</td>\n      <td>223</td>\n    </tr>\n    <tr>\n      <th>6</th>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>9</th>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>25</th>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"# Scalar Coupling Constant <a id=\"scalarcouplingconstant\"></a>"},{"metadata":{"trusted":true},"cell_type":"code","source":"df_train.head()","execution_count":154,"outputs":[{"output_type":"execute_result","execution_count":154,"data":{"text/plain":"   id           ...            scalar_coupling_constant\n0   0           ...                             84.8076\n1   1           ...                            -11.2570\n2   2           ...                            -11.2548\n3   3           ...                            -11.2543\n4   4           ...                             84.8074\n\n[5 rows x 6 columns]","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>id</th>\n      <th>molecule_name</th>\n      <th>atom_index_0</th>\n      <th>atom_index_1</th>\n      <th>type</th>\n      <th>scalar_coupling_constant</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>0</td>\n      <td>dsgdb9nsd_000001</td>\n      <td>1</td>\n      <td>0</td>\n      <td>1JHC</td>\n      <td>84.8076</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>1</td>\n      <td>dsgdb9nsd_000001</td>\n      <td>1</td>\n      <td>2</td>\n      <td>2JHH</td>\n      <td>-11.2570</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>2</td>\n      <td>dsgdb9nsd_000001</td>\n      <td>1</td>\n      <td>3</td>\n      <td>2JHH</td>\n      <td>-11.2548</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>3</td>\n      <td>dsgdb9nsd_000001</td>\n      <td>1</td>\n      <td>4</td>\n      <td>2JHH</td>\n      <td>-11.2543</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>4</td>\n      <td>dsgdb9nsd_000001</td>\n      <td>2</td>\n      <td>0</td>\n      <td>1JHC</td>\n      <td>84.8074</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"plt.figure(figsize=(9,9))\ndf_train['scalar_coupling_constant'].hist(bins=100)\nplt.title('Scalar Coupline Constant Distribution')\nplt.show()","execution_count":8,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 648x648 with 1 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\n"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"plt.figure(figsize=(9,9))\ndf_train.boxplot('scalar_coupling_constant', by='type', ax=plt.gca())\nplt.show()","execution_count":9,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 648x648 with 1 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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"## Scalar Coupling Contributions <a id=\"contrib\"></a>"},{"metadata":{"trusted":true},"cell_type":"code","source":"contribs = ['fc', 'sd', 'pso', 'dso']","execution_count":138,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"df_contrib.head()","execution_count":146,"outputs":[{"output_type":"execute_result","execution_count":146,"data":{"text/plain":"      molecule_name  atom_index_0    ...         pso       dso\n0  dsgdb9nsd_000001             1    ...     1.25862  0.272010\n1  dsgdb9nsd_000001             1    ...     2.85839 -3.433600\n2  dsgdb9nsd_000001             1    ...     2.85852 -3.433870\n3  dsgdb9nsd_000001             1    ...     2.85855 -3.433930\n4  dsgdb9nsd_000001             2    ...     1.25861  0.272013\n\n[5 rows x 8 columns]","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>molecule_name</th>\n      <th>atom_index_0</th>\n      <th>atom_index_1</th>\n      <th>type</th>\n      <th>fc</th>\n      <th>sd</th>\n      <th>pso</th>\n      <th>dso</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>dsgdb9nsd_000001</td>\n      <td>1</td>\n      <td>0</td>\n      <td>1JHC</td>\n      <td>83.0224</td>\n      <td>0.254579</td>\n      <td>1.25862</td>\n      <td>0.272010</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>dsgdb9nsd_000001</td>\n      <td>1</td>\n      <td>2</td>\n      <td>2JHH</td>\n      <td>-11.0347</td>\n      <td>0.352978</td>\n      <td>2.85839</td>\n      <td>-3.433600</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>dsgdb9nsd_000001</td>\n      <td>1</td>\n      <td>3</td>\n      <td>2JHH</td>\n      <td>-11.0325</td>\n      <td>0.352944</td>\n      <td>2.85852</td>\n      <td>-3.433870</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>dsgdb9nsd_000001</td>\n      <td>1</td>\n      <td>4</td>\n      <td>2JHH</td>\n      <td>-11.0319</td>\n      <td>0.352934</td>\n      <td>2.85855</td>\n      <td>-3.433930</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>dsgdb9nsd_000001</td>\n      <td>2</td>\n      <td>0</td>\n      <td>1JHC</td>\n      <td>83.0222</td>\n      <td>0.254585</td>\n      <td>1.25861</td>\n      <td>0.272013</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"df_contrib[contribs].hist(bins=100, figsize=(9, 9))\nplt.suptitle('Scalar Coupling Contributions Distribution')\nplt.show()","execution_count":145,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 648x648 with 4 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"fig, axs = plt.subplots(1, 4, figsize=(16, 4))\nfor i, c in enumerate(contribs):\n    df_contrib.boxplot(c, by='type', ax=axs[i])\nplt.show()","execution_count":151,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1152x288 with 4 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"# Worrying Atom Index Funny Business <a id=\"funny\"></a>"},{"metadata":{"trusted":true},"cell_type":"code","source":"fig, axs = plt.subplots(1, 2, figsize=(14, 7))\n\natom_index_dif_train = (df_train['atom_index_0'] - df_train['atom_index_1'])\natom_index_dif_train.hist(bins=np.arange(atom_index_dif_train.min(), atom_index_dif_train.max() + 1), ax=axs[0])\n\natom_index_dif_test = (df_test['atom_index_0'] - df_test['atom_index_1'])\natom_index_dif_test.hist(bins=np.arange(atom_index_dif_test.min(), atom_index_dif_test.max() + 1), ax=axs[1])\n\naxs[0].set_title('Train')\naxs[1].set_title('Test')\nplt.suptitle('atom_index_0 - atom_index_1 distribution')\n\nplt.show()","execution_count":10,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1008x504 with 2 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"fig, axs = plt.subplots(1, 2, figsize=(14,7))\ndf_train.boxplot('scalar_coupling_constant', by='atom_index_0', ax=axs[0])\ndf_train.boxplot('scalar_coupling_constant', by='atom_index_1', ax=axs[1])\nplt.title('Scalar Coupling Constant boxplots by atom_index')\nplt.show()","execution_count":11,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1008x504 with 2 Axes>","image/png":"iVBORw0KGgoAAAANSUhEUgAAA1IAAAHQCAYAAACrwVv9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAAIABJREFUeJzs3Xt8HNV99/HPTxdLWDb4xs0SGEqglbk4Cbk1cZ7HwjWKgABtaKgMCSDFxYAWtxDs1GoaSCODTUhL5IvAsQMULEJIa8xFj6FGTuo4gRIaEktKHEpskI1tfLck67rn+WNmxa68u9pd62bp+3699iXtzDkzZ2Z3Z+Z3zpkz5pxDREREREREEpc22AUQERERERE50SiQEhERERERSZICKRERERERkSQpkBIREREREUmSAikREREREZEkKZASERERERFJkgIpEZEThJk9ZmbfGexyDLZ4+8HMbjazTQNdpoFiZgvN7Acp5p1hZo19XSYRkZFKgZSISJLMbJuZHTWzJjM7YGYvmtlZg12ucGbmzOwjg12O4WqwghLn3CLn3NcGer2JMLMzzWydme30v3/nDHaZRET6kwIpEZHUfNE5NwY4E9gNVA5yefqNeXS+kN4Egf8HfGmwCyIiMhB0YhQROQ7OuVbgWWBqaJqZnWJmT5jZB2a23cz+MRSImNkKM/tJWNrFZrbBD1ZmmFmj331rr9/ydUOsdZvZHDN728z2+y0Bk/3pP/OTvOW3ml0fJW+6mT3kr+ePZlbmtyJk+PM3mlmFmf0caAH+xMwm++vZ7693TtjyIrrb9Wyx8bflH8ys3m/F+6GZZYfNv8rMfm1mB81ss5ldEjbvY2b2ppkdMbMfAd35Yu8aW2pmh8zsd2Y205/412b2qx4J7zKz52Is5BYza/DX+46Z3epPzwFqgMn+/m3y902Wmf2r3yKz0/8/K3x/mNl8M9tjZu+b2bVmdoWZbfX36cJetgszu9fMnvT/P8f/zG4ys3f9z7I8LO1J/udywMzqgU/2WNZkM/uJ/z39o5ndGTbvJTN7KOz902a2Ol7ZnHO7nXPLgf/ubTtERIYDBVIiIsfBzEYD1wO/DJtcCZwC/Anwf4GvArf48+4GLjbvXp7PA6XATc45588/A5gE5AI3AY+a2Z9GWe9lwP3Al/FaxbYDTwM45/6Pn2yac26Mc+5HUYo+BygCPgp8HLg2SpqvAH8LjA1bfiMwGbgOWOSXI1E3AIXAecAFwD/62/IxYDVwKzAReARY5wcmo4C1wL8BE4Af03uLx6eB/8Xbj98C/t3MJgDrgHPNLL/HNj4RYzl7gKuAk/E+v38xs48755rx9t1Of/+Occ7tBMqBz+Dt02nAp0Lb6DsDLwjMBf4JWAncCFwKfB74ppmd28u2RTMd+FNgJvBPYdv3Lbx9fR7efr8plMG8wP554C2/PDOBvzOzQj9JCfAVM7vMD+Y/BcxLoWwiIsOWAikRkdSsNbODwCFgFvAgeC09wN8A/+CcO+Kc2wY8hHfBjnOuxf//e8CTQMA51/Nem28659qccz8FXsQLlnq6AVjtnHvTOdcG/APw55b4fSlfBh52zjU65w4AD0RJ85hzrs4514kXBHwOWOCca3XO/Rr4AV6QmKilzrn3nHP7gQqg2J/+t8AjzrnXnHNdzrnHgTa8oOQzQCbwr865Dufcs/Te4rEnLP2PgN8DV/r76Ud4wQtmdiFwDvBCtIU45150zv2v8/wUeBkv4InlBuDbzrk9zrkPgPvwP3dfB1DhnOvAC0on4X0GR5xzdUA9XgCWrPucc0edc2/hBUahZXzZX99+59x7wPfD8nwSONU5923nXLtz7h28wO5v/G3fBdwGPA48DHzVOXckhbKJiAxbCqRERFJzrXNuHF4LQxnwUzMLtSZl4rXghGzHq/UHwDn3GvAOYMAzPZZ7wG/xCM87Ocr6J4evwznXBOwLX08vJgPvhb1/L0qa8GmTgf09LqYjtisB4csL364pwN1+t76DfoB6lj9/MrAjrMUulDeeaOlD63ocmG1mhhfkPOMHWMcwsyIz+6Xf7e4gcAXe5xtLxGfCsZ/dPudcl///Uf/v7rD5R4ExcZYfy66w/1vCltHzMw4v2xS8ronh+3whcHpYmueBdOD3zrlhOxKiiEiqFEiJiBwHvwXl34EuvC5We/FaHqaEJTsb2BF6Y2Z3AFnATmB+j0WO9+/BCc+7M8qqd4avw88zMXw9vXgfyAt7H23UwfBgZCcwwczG9ihbaH3NwOiweWdEWV74OsK36z28lpNxYa/Rzrlqv5y5fuATnjeeaOl3Ajjnfgm047UszcbrMngM/96mnwDfBU73g+aX8IJfiNw3IRGfCbE/u4HyPsfu85D3gD/22OdjnXNXhKWpABqAM82sGBERiaBASkTkOJjnGmA80OC3ODwDVJjZWDObAtyF140PM7sA+A5e97KvAPPN7KM9FnufmY3y76G6Cu++oJ6qgVvM7KP+Rf8i4DW/KyF4LR1/EqfozwDzzCzXzMYBC+Jtp981bDNwv5ll+4NBlIa2C/g1cIWZTfBb5v4uymLuMLM8/36lcrxuduB1KZtrZp/292eOmV3pB22/ADqBO80s08z+Cu9+nXhOC0v/10A+XhAU8gSwFOiI09IyCi/Y/QDoNLMi4PKw+buBiWZ2Sti0auAfzexUM5uEdx/UkwyeZ4B/MLPxZpYHBMLmvQ4cMbMF/qAU6WZ2kZl9EsDM/g/efWFfxbu3qtLMem19NG8AkSz/bZaFDSgiIjLcKJASEUnN82bWBBzGq7m/yb/PBbwL1ma87nubgDXAavNGxHsSWOyce8s59we87lT/5gdD4HXTOoDXkvEUMNc597ueK3fO/SfwTbxWk/fxBhT4m7Ak9wKP+922ot1jtRLvnp/fAP+DF2h04rWsxVKMd0/RTuA/gG/55QCvZectYJu/3GgDXKzx572DNxjEd/xteQNv8Iul/ra/Ddzsz2sH/sp/vx9vYI9/j1NGgNeA8/FaByuA65xz+8Lm/xtwEXGCHL8L4514wcgBvNardWHzf4cXOL3j7+PJ/va8gbdPfwu8GdrGQXIfXne+P+Lt9+7WNz/gvwpvYIw/4u2rHwCnmNnJeMFmmXNuh3Puv4BVwA97tPRFcxRo8v//HR92YRQRGXYsshu5iIgMFjObATzpnMvrLW0/rLsIqHLOTek1cWrL3wZ8LSzwGjRmdhLegBQf94NZERGRpKlFSkRkBPK7c11hZhl+l61v4bUyjQS3Af+tIEpERI6HAikRkZHJ8Lp+HcDr2teAd0/PsOa3jM3De57XkGRmNfbhg37DX70+sHcAylYVo2xVg102EZGBpq59IiIiIiIiSVKLlIiIiIiISJIUSImIiIiIiCRJgZSIiIiIiEiSFEiJiIiIiIgkSYGUiIiIiIhIkhRIiYiIiIiIJEmBlIiIiIiISJIUSImIiIiIiCRJgZSIiIiIiEiSFEiJiIiIiIgkSYGUiIiIiIhIkhRIyaAzs3vN7MnBLkdfMLPHzOw7/v+fN7PfD3aZRET6g5ndbGabBrscfcHMNprZ1/z/bzCzlwe7TCey8P05gOs8x8ycmWX083qGzTVLNGZWZWbfTDHvsDkmJEqBlEg/cc79l3PuTwe7HH3JzLaZ2V/04fKcmX2kr5YnItGZ2XQz22xmh8xsv5n93Mw+Odjl6snMPmVmL5nZQb+cr5vZLQNZBufcU865y/tr+WY228zeMLMmM3vfzGrMbHo/rm+GmTX24fJO+IvlEyEYGqz97Jyb65z754Fe74lKgZSc0MwsfbDLICIylJnZycALQCUwAcgF7gPaBrFMx7QamNmfA68CPwU+AkwEbgOKBrZ0/cfM7gL+FVgEnA6cDSwHrhnMcolIahRISUrMbIGZ7TCzI2b2ezObaWbpZrbQzP7Xn/4rMzvLT/+wmb1nZof96Z+Ps+wfm9kuv+b0Z2Z2Ydi8x8xshV9j2QwUxFnOSWb2kJlt95e1ycxO8uddbWZ1fq3nRjPLD8sX0UrSo7veDDNr9Ldzr99Cc0OM9UfUAvppv25mv/HL8yMzyw6bP9+vndxpZl9LpLXmOLYxZlnMbJKZvRBWI/xfZpZmZv+Gd9J/3q9JnZ/g57XMzF70vxOvmdl5/ryf+cne8pd3fbxtFZGUXQDgnKt2znU554465152zv0mlMDM5phZg/87rTezj/vTvxF2TK83s7+MtZJ4x3m/BeBZM3vSzA4DN0dZxIPA4865xc65vc7zK+fcl3uU823/2LTOzCb704/p1mWR3fVuNq8Vbql/rPqdmc2MsR0RLQH+cuea2R/84+IyMzN/Xrp/DN5rZn80s7Ke5QhbzinAt4E7nHP/7pxrds51OOeed87d46fJMrN/9c8DO/3/s/x5ofPP3Wa2xz9f3BK2/Cv8z+iIeefnr5tZDlADTPaPs01mNtm8lr9f+Nvzvr9fRvW2zf55pAr4c39ZB2N9H4DzzGtRPGxmz5nZhLDlRz0/mdl5/mcb+v5NNrMPzGxG2Gd6f6zl9tjfk/3vyH7/OzPHn/4FYCFwvb8Nb4V97u/4+++PFuPc7ss277x5xMzeNLNp/jLuMbOf9CjH983s4RhljPr7irWfzewUM3vC3yfbzewfzSwtrPw/N7N/8ffrO2b2WX/6e/535qY42xQqU7RrnljfuYn+Pj5sZq8D5/VY1p+Z2Sv+Z/B7M/uyP32Umf3azAL++3S/7P/UW/mGHOecXnol9QL+FHgPmOy/Pwfvx3MP8Ft/vgHTgIl+mhvxahczgLuBXUC2P+9e4Mmw5ZcAY4EsvJq7X4fNeww4BHwOryIgO045lwEb8Wpf04HP+su8AGgGZgGZwHzgbWCUn88BH+mxzu/4/88AOoHv+cv6v/6y/jRG2saw5WwDXgcm49UKNwBz/Xlf8PfJhcBo4Mme5ejjbYxXlvvxDuCZ/uvzgIXl+4seZejt89oHfMr/7J8Cng6b3+s26qWXXsf3Ak72f4eP47XujO8x/6+BHcAn8Y7dHwGmhM2b7B9vr/ePK2f6824GNoUtp7fjfAdwrb+sk3qUYTTQBRTE2Y7LgL3Ax/3jTSXwM3/eOf7xJCMs/Ubga2Fl7QT+3j+uXY93LpkQI234djm8Fr1xeJVJHwBf8OfNBeqBPGA88J89yxG2nC/4ZThmXliabwO/BE4DTgU2A//sz5vh5/+2vw1XAC2hzxN4H/i8//944ONh+Rp7rOdS4DP+Z3UO3jng7xLc5oj9E2M7NuJ9py4CcoCf4J/n6f38NMffp6OB9cB3E1xuxHcA+Blea1828FF/Gy4L+z6GX3fkAIf58Fx+JnBhjG27F++7fJ1f/q8Df/T/P9PftnF+2gxgD3BpjGUl/Pvypz0BPId3zj0H2AqU9viO34J3PfAd4F2864Qs4HLgCDCml8/uMY695on1nXsaeMbffxf5n82msH36nl+eDOBjeL/fqf78i4ADQD5Qjve9Tx/s42Wyr0EvgF4n3gvvJLsH+AsgM2z674FrElzGAWCa/3/EAa1HunH+gfEU//1jwBMJLD8NOBpaR4953wSe6ZF2BzDDf59IIJUTNv8Z4Jsx0vYMpG4Me78EqPL/Xw3c32Mfxw0yjnMb45Xl23gH6mPWTZRAKoHP6wdh868Afhf2XoGUXnoNwMu/WHkMaPSPYeuA0/1564F5CS7n16HjPL1cUEc5zv8sTtpc/3jwZ3HSrAKWhL0fg3dBew6JBVI78SuF/GmvA1+JkbZnIDU97P0zwDf8/18Fbg2b9xc9yxE27wZgVy/793+BK8LeFwLb/P9n+Mf88G3cA3zG//9d4Fbg5B7LnEGPQCrKev8O+I8Etznu5x62Px8Iez8VaMe7wI97fvKnrcOrmP0NkJXgcru/A8BZeIH52LC09wOPhX0fewZSB4Ev0SPIj7Jt9wK/7FH+8CC2Bpjj/38VUJ/E7zTm78vfxnb8QMSfdiuwMSz9H8LmXezvj9PDpu0DPtpLGR4j8jom6nfOL08HYb9ZvC6roUDqeuC/eiz7EeBbYe/vxrt2PACcn+h+Gkovde2TpDnn3sY76N4L7DGzp83rXnEW3kngGH4XgwbzulQcBE4BJkVJl25mD/hN3YfxLtzpkfa9BIo5Ca8WKlp5JgPbw7Yn6C8zN4HlAhxwzjWHvd/uLzMRu8L+b8G7EAiVKXy7BmIbY5XlQbzawZf9rgHfiFWABD+vWOsRkQHinGtwzt3snMvDqwmejNeCDPGP3V/1u+Ac9I/dFxHl2O2n7e04H++4dgAI4tXox9LzuNaEd2GY6LF7h/Ov3nwDfezeB0yy+KPKRWxjlDLuc851xijLl/Aqq7ab2U/Nu+csKjO7wLwu3Lv8Y/cijv1cj/fYHb4vtuO1aEwisfPTSrzvWqVzrue9fLGWG24ysN85d6RH2qjfFf+cfj1eC+P75nVH/7NEts0vfyMffk6P47XO4v/9t1gLSeb35U/P5NjvR/g27Q77/6hfvp7Tkv0cY33nTsULWnt+HiFTgE+Hts3fvhuAM8LSPO6ne8k594ckyzUkKJCSlDjn1jjnpuP9ABywGO/HdF7PtOb1k58PfBmvOXgcXpcKi7Lo2Xg33f4F3kn4nNBiwlefQBH3Aq3RyoNXKzklrHyGdyGxw5/UgtelICT8Rw8w3rx+5yFn+8s8Hu/jdQ0JOSuBPMezjTE554445+52zv0JcDVwl314L0HPfZ/I5yUiQ4hz7nd4tc4X+ZNiHbun4F3QluF10x4HbCHK7zvB43zMY7dzrgX4BV4wEEvP41oOXlfCHXhdoiD+sTvXPxaGDPSx+xd4A3xcGydNxDaSRBmdc//tnLsGr1vgWrxWJIi+31cAv8NrBTgZ756hRI/biZyDIXJfnI3XerGXXs5PZjYGL8hfBdwb5R6oWMsNtxOYYGZje6QNnQOP2Qbn3Hrn3Cy8YP53eN/9XrfNv0cpjw8/p7XAJWZ2EV6L1FPRFpDA76tnGffibWvP70ev5/V+8gFe63bPzyPkPeCnzrlxYa8xzrnbwtIsx+tCWmj9OHJlf1IgJUkzsz81s8vMuwG2Fa+GIwj8APhnMzvfPJeY2US8vrydeD+6DP9mwpNjLH4s3olmH94JcVEqZfRriFYD3zPvhtN0M/tzv8zPAFeaN0BGJl7TchteX3TwmtZn+3m+gHcfVE/3+TdLfh7vQPnjVMoZ5hngFjPLN7PReF0f+nMbYzKzq8zsI/7J7RBe94igP3s38CdhyY/38+q5PBHpY/4N33ebWZ7//iygGO+eBPCO3V83s0v9Y/dH/Iu8HLyLuQ/8fLfwYfDVUzLH+VjmAzebd8P+RH+d08zsaX9+Nd5x8qP+cW4R8Jpzbptz7gO8C8ob/WNhCccGh6cBd5pZppn9NV53x5eSLGNPzwDzzCzXzMYBC2IldM4dAv4JWGZm15rZaL8sRWa2JGwb/9HMTjWzSX76Xofp9s9HN5jZKc65Drz7fcKP2xPNG+wiZKyfpslvebmNxO0G8ixscIoYbjSzqf457dvAs865Lno/Pz0MvOGc+xrwIt49u4kst5tz7j1/efebWbaZXQKU8uG+3A2cYx8O1HC6mV3jB+dtQBMf7r9oLjWzv/JbF//Oz/NLf92twLPAGuB159y7MZbR2+8rYj+H7bsKMxvr/0bvIoHvR3/wy/PveMHuaDObCtwUluQF4AIz+4r/Pc80s0/ahwOLfAXvXr2bgTuBx/0g+oSiQEpSkQU8gFc7sgvv5PQPeAMwPAO8jHeAXgWchNf//v/h3RS5HS/4itX94Qk/zQ68m01/GSNdIr6O18f6v4H9eK1mac653+M1t1f62/BF4IvOuXY/3zx/WqgZem2P5e7C64ayE6+maa5fw5sy51wN8H2gFq9bXWi7exueONVtjOd8vBumm/BqUJc752r9effjneQPmtnXOf7P6168g+dB80fzEZE+dwT4NPCaeaOd/hKv5vtuAOfcj4EKvAu/I3jHvAnOuXrgIbzjwG68ey5+HmMdyRzno3LObcYbUOIy4B0z2w88ih/sOOf+E6+S6Sd4LUHnAX8Ttog5eIMe7cMbuKdnxdFreMe3vf72Xuec25dMGaNYiXfO+w3wP35ZO/EqoKJt40N4F7//iHcB/R5ei0ToPPMd4A1/eb8F3vSnJeIrwDbzuurNxTt/hVogq/H26UHzuuJ/Ha9HwRF/G36U8BZ794XVAbvMrGdLULh/w2v53IXXDf1Ovzwxz09mdg3eoByhwO4u4OMWOYJe1OVGUYzXS2In8B949+b8pz8vVPm5z8zexLsevstPux+vAjVecPkcXlfAA3j7/a/8ADbkcbzfS8xufQn8vqLt5wBe6+s7wCa83+zqOOXsb2V43fx24X0mPwzN8LtVXo73G93pp1kMZJnZ2Xitjl91zjU559bgfe//ZUBL3wdCI3GJSALMG4L1Sf8+g/5cTz7ehU5Wj77JIiKSJDO7GW8wiX7tPmRmRXgD90zpNbEkzcw24p2DfzDYZYnHDxR+B5zhnDs82OWR/qMWKZEhwsz+0rxniIzHq7V5XkGUiMjQZd6z/K4wswwzywW+hdf6ISOU313wLrxHfSiIGuYUSMkJzbwH+jVFecV7kN5QdSvesKL/i9ct5DYYdtsoIjKcGHAfXhev/8F7HtOJ91BR6RP+PVaH8Z6R9a1BLk5Muq7oO+raJyIiIiIikiS1SImIiIiIiCQp3kPhBsykSZPcOeecE3Vec3MzOTk5Uef1Rfqhug6Va3iUayRvu8o1PMoVL/2vfvWrvc65U5MqwAgT6/w2kr9TQ7VcI3nbVa7hUa6RvO19Xa6Ez2/OuUF/XXrppS6W2tramPP6Iv1QXUcqeVSu5PIMl3WkkkflSi7PSC5XvPR4z3oZ9HPIUH7FOr+N5O9UKnmGyzpSyaNyJZdnJJdrJG97Knn64vymrn0iIiIiIiJJUiAlIiIiIiKSJAVSIiIiIiIiSVIgJSIiIiIikiQFUiIiIiIiIklSICUiIiIiIpIkBVIiIiIiIiJJUiAlIiIiIiKSJAVSIiIiIiIiSVIgJSIiIiIikiQFUiIiIiIiIklSICUiIiIiIpIkBVKSsOrqai666CJmzpzJRRddRHV19WAXSUREJILOVSIyUDIGuwBy/Kqrq6moqKChoYH8/HzKy8spLi7u83WUl5ezatUqurq6SE9Pp7S0FKDP1yUiIpIKnatEZCCpReoEFzppVFZWsn79eiorKykvL++1Bi7ZGruKigpmz55NIBCgsLCQQCDA7NmzqaioiJmnsLCQtLQ0CgoKSEtLo7CwMKVt7E0gECA7O5uCggKys7MJBAJx0w9EbaVqREVEjtXfx8aKigqmTZtGUVERs2bNoqioiGnTpsU9V11yySWYGQUFBZgZl1xySZ+WSUSGLwVSJ7iKigpWrVpFQUEBGRkZFBQUsGrVqrgnjVSCr/r6eh599FGam5sBaG5u5tFHH6W+vj5q+sLCQl5++WWccwA453j55Zd7DabOPvvsiBPa2WefHTd9IBBg6dKltLW1AdDW1sbSpUtjBlPV1dXMnTuXrVu3EgwG2bp1K3Pnzu3TwDPV4FZEZLCkEuAkm6e6upp58+ZFnEfmzZsXN1+yFWV1dXWsXbs24pywdu1a6urqoqa/5JJL+O1vfxsx7be//a2CKRFJiAKpftbfJ6eGhgamT58eMW369Ok0NDTEzJNK8JWens7Ro0cBuoOjo0ePkp6eHjX9yy+/nNR08IKo9957L2Lae++9FzeYWrZsWVLTy8rKOHz4MB0dHQB0dHRw+PBhysrKYq6jurqaW2+9NSL4uvXWW2N+LqnUiELyFwyhsqnlS+TEEl5ZZGb9so5kK39KS0upq6sjGAxSV1dHaWlpr3mSOS4CzJ8/n0OHDrFt2zaCwSDbtm3j0KFDzJ8/P2r6QCDAsmXL6OzsBKCzs5Nly5YldGxMVM8gqrfpIiLhdI9UP0qlr3ayefLz87nvvvtYu3Zt9z1S1157Lfn5+THL1dDQwFe/+lUaGxu7p+Xl5bFz586YeTo7O2lqaqKpqQmAbdu29br9yeoZRPU2HT4M6hKdvn///qSmgxd8HTlypPt9R0cHHR0dlJWVRf1M6urqImo/QzWi8YRa1sLzhN5XVlZGzVNdXc0NN9zQva11dXXccMMNgO4FEBnKnHOc840X2fbAlf2y/GTPI3PmzOHo0aPcdtttXHHFFbz00kusWLGCOXPmxDyWlJWV0dTURFqaVx8bDAZpamqKeVwEIs45Ie3t7VGnAyxfvhznHF1dXQDdf5cvXx7zuCgiMpDUItWPUmn5STZPQUEBixcvpqSkhBdffJGSkhIWL15MQUFBzHWkpaXR2NjYXRNqZjQ2NnafECVSKsFXssKDqESmA9x4443HBIzOOW688caYeSZOnBhRGz5x4sRey5aZmRmRJzMzs9c8IjJ4kj2PNDc3k5ubS1VVFV/84hepqqoiNze3uwteNPv37z8myHHO9elxMRgMJjVdRGSg9XrlbGZnmVmtmdWbWZ2ZzfOnTzCzV8zsD/7f8f50M7Pvm9nbZvYbM/t4f2/EUJVKt7uGhgYaGxsjumQ0NjbGzFNbW8tVV13FwoULKSoqYuHChVx11VXU1tbGXEeom0T4/Uvh0+XEkOxFxsSJE4+5yNm/f3/cYCozM/OY70VnZ2evwVSyXQ5T6dYocryG6/ktlXPPjh07Is4JO3bs6NcyigwF6h4vxyuRJohO4G7n3FTgM8AdZjYV+AawwTl3PrDBfw9QBJzvv/4WWNHnpT5B5Ofns2nTpohpmzZtitvtbvLkydx5550RN+PeeeedTJ48OWr6+vp63nrrLWpqanjllVeoqanhrbfeijkIhIxcqbSsxQqu4wXd1dXVlJSURNxvUVJSEvMEFQgEWL58OePGjQNg3LhxLF++XMGUDIRheX5L5dwjkqjhEnxoYCjpC70GUs65951zb/r/HwEagFzgGuBxP9njwLX+/9cATzjPL4FxZnZmn5f8BFBeXk5paSm1tbV0dnZSW1tLaWkp5eXlMfO0tLRw5MgRAoEAL774IoFAgCNHjtDS0hI1/ahRo8jMzGTmzJnMmjWLmTNnkpmZyahRo/prs0TimjNnDq1pnFupAAAgAElEQVStrRHTWltbmTNnTtT0VVVVBINBdu/eDcDu3bsJBoNUVVX1edkGakh+OTEM1/NbeXk5119/Peeeey6XXXYZ5557Ltdff33cc49IIoZT8JHK7RciPSU12ISZnQN8DHgNON05974/axdwuv9/LhA+OkCjP+39sGmY2d/i1ehx+umns3HjxqjrbGpqijmvL9L35zrOPPNMbrjhBkpKSnj33Xc5++yzufHGGznzzDNj5t+/fz+f/exn+cY3vkFHRweZmZl8+tOfZvPmzVHztLW1sXXrVj772c9y2223sWLFCjZv3gyQ9H4YqDwjuVwjYdtj3VfR3NwcNU+8Vq945SopKeGPf/xj9/tzzz2X1atXx0x/zz338MYbb3S/Dw3J/8lPfpIHH3wwZj4YmONKKnmG6jpORINxfuuvz66+vp6Ojg5aW1sxM1pbW+no6KC+vl7HrD5OP1R/g/2VZ+HChdx5553d36sxY8YQCARYuHAhZ57Ze53CUNpfDQ0NdHV1sXHjxu48XV1dNDQ09MtnP5S2XeVKfR3HcM4l9ALGAL8C/sp/f7DH/AP+3xeA6WHTNwCfiLfsSy+91MVSW1sbc15fpB9q6wDc6NGjXWZmpgNcZmamGz16tPM+qujpJ02a5MzMAc7M3KRJk2KmD+WJ9eqrPAOxjqFarpG87QNVrosvvjhq+osvvrhPtyUkmd/8WWedFbHss846K+G8Q+lYlEh64A2X4DlkKL8YhPPblAUvxNyvsST62V144YXu1Vdfjcjz6quvugsvvDBq+uF0bBiIdYQb7N/gQOdJS0tz7e3tEenb29tdWlraoJYrlfTJ/k4GqlxDfR2p5DkRy5Xo+S2hYdrMLBP4CfCUc+7f/cm7Q10a/L97/Ok7gLPCsuf50yQBZkZLSwtf+9rXeP755/na175GS0tL3GeN7N27N+L+kr179w5UcUUGxVB99ksqz0KTwTUcz2+pDDYhkojhdP9dKrdfiPSUyKh9BqwCGpxz3wubtQ64yf//JuC5sOlf9Uc3+gxwyH3YRUJ64Zxj9OjR1NTUcPXVV1NTU8Po0aNjPhcJvIflnnLKKaSlpXHKKafEfEiuiPSvVJ6FJoNnuJ7fhtPFrgwtwyn4KC4upqKigkAgQGFhIYFAgIqKCj2HUZKSSIvU54CvAJeZ2a/91xXAA8AsM/sD8Bf+e4CXgHeAt4GVwO19X+zh7Y477iAnJwczIycnhzvuuCNu+q6uLoqKinjuuecoKirqfq6HiIjENSzPb8PpYleGluEWfBQXF7NlyxY2bNjAli1bTtjtkMHT62ATzrlNQKx+ZTOjpHdA/Ct/iSkjI4NVq1bx7LPPdj+R/rrrriMjI/ZHdf7551NVVcWKFSswM84//3z+8Ic/DGCpRSTc1VdfzS233MIPf/hD1q1bN9jFkRiG6/ktdDEYCARoaGggPz//hL7YlaGluLiY4uJiNm7cyIwZMwa7OCKDKqlR+6T/zZ07l+XLlzN79mz27NnDaaedxsGDB7n99ugVnxMmTOCdd97hu9/9LlOnTqW+vp758+czYcKEAS65iISsW7dOAZQMKl3sioj0PwVSQ0xlZSUAK1euJBgMcuDAAW6//fbu6T0tXbqUW2+9NWK49NGjR7N06dKBLLaIiIiIyIiS0Kh9MrAqKytpbW2ltraW1tbWmEEUeLWOjzzyCBdccAFpaWlccMEFPPLII+rCISIiIiLSj9QiNQyoC4eIiIiIyMBSi5SISB8aO3Zs3PciIiIyPCiQGoHy8vKOecCvmZGXlzdIJRIZPlpaWnjooYeoqanhoYceoqWlZbCLJCIiIv1AXftGoCVLllBaWsrRo0e7p2VnZ7NkyZJBLJXIiS8rK4tPfOITLFy4kLa2NrKysvjMZz7DG2+8MdhFExERkT6mFqkRaPPmzbS1tXHGGWeQlpbGGWecQVtbG5s3bx7UcuXl5TF69GgyMzMBukcgVEuZ9FRWVpbU9IEyZ84cXnvtNRYtWkRNTQ2LFi3itddeY86cOYNaLhEREel7CqRGoJUrV/Lggw/y/vvvs2HDBt5//30efPBBVq5cOajlWrJkCTk5OeTm5mJm5ObmkpOT02tLWbRuijJ4cnJykpqeisrKSsrKysjKygK8lqCysrK4I1xefvnlSU1PtVxz585l4cKFFBUVsXDhQubOnRu3XCKDLdZzB/U8QhGR+BRIjUBtbW3MnTs3YtrcuXNpa2sbpBJ5iouLefjhh8nJycHMyMnJ4eGHH447lPuFF17INddcE3FBfc0113DhhRf2WbkG4gJ8OBk/fnzUlsXx48f36XqSeUwAwPr167n88su7A20z4/LLL2f9+vWDWi6RwbZ06VLGjh0b8ZsdO3Zs3OcRKvgSEVEgNSJlZWVRVVUVMa2qqqo7GIlmoIKJ4uJitmzZwoYNG9iyZUuvz8MqLy/nrbfeoqamhldeeYWamhreeustysvLo6a/8MILOfXUUyOmnXrqqXEDr4G6AB8udu7cSVVVVcSzzaqqqti5c2fMPFOmTIn7vq+sX7+eYDBIbW0twWBQn6EIqT2PMJXgKy0t+iVHrOkiIkOdjl4j0Jw5c1iwYAHf+973aG1t5Xvf+x4LFiyIex/HUA0miouLqaioIBAIUFhYSCAQoKKiIuYFQHl5OWPGjOHVV1/llVde4dVXX2XMmDExA6+QZC7A8/LySE9Pj5iWnp4e916viy++OKnpQ1l+fj55eXkRAXFeXh75+flR02dkZHD48OGIz+Tw4cNkZGgsHJGBkmwlVirB1+23346ZdR8f09PTMTNuv/32Pt0WEZGBokBqBEr1Po5kgomB7A6XzAVAsoFXKpYsWcKECRM455xzMDPOOeccJkyYEPder9/85jfHBE0XX3wxv/nNb2LmSXbAhVQGaEjlcywvL6e0tJTa2lo6Ozupra2ltLQ0ZrA6d+5cDh06RHFxMbNmzaK4uJhDhw4d0/1URIaWZIOvyspK7rjjju5KkoyMDO64446Y555Ujj/JHufURVFEjocCqRGqv+/jGKotWJD8yT+V5Sd7rxd4wZRzjtraWpxzcYMoSH7AhVQGaEjlc0w2WK2srOT222/n4MGDABw8eJDbb79d9xaJDEPJnHtSOf4ke5zbt2/fMUHThAkT2LdvX7KbJiIjkAIp6Tcj+X6U/g7WQpINiFMJoFP5HFOpqdYADSLSUyrHn2SPJ/v27YuoxFIQJSKJUiAlIiIiIiKSJAVSIiIiIiIiSVIgJSIiIiIikiQFUiIiIiIiIklSICUiIiIiIpIkBVIiIiIiIiJJUiAlIiIiIiKSJAVSIiIiIiIiSVIgJSIiIiIikiQFUiIiIiIiIklSICUiIiIiIpIkBVIiIiIiIiJJUiAlIiIiIiKSJAVSIiIiIiIiSVIgJSIiIiIikiQFUiIiIiIiIklSICUiIiIiIpKkER1IVVdXc9FFFzFz5kwuuugiqqurB7tIIiIiIiJyAsgY7AIMlurqasrLy1m1ahVdXV2kp6dTWloKQHFx8SCXTkREREREhrIR2yJVUVHBqlWrKCgoICMjg4KCAlatWkVFRcVgF01ERERERIa4ERtINTQ0MH369Ihp06dPp6GhYZBKJCIiIiIiJ4oRG0jl5+ezadOmiGmbNm0iPz9/kEokIiIiIiInihEbSJWXl1NaWkptbS2dnZ3U1tZSWlpKeXn5YBdNRERERESGuBEbSBUXF1NRUUEgEKCwsJBAIEBFRYUGmhgBNFqjiMjx07FUREa6ETtqH3jBVHFxMRs3bmTGjBmDXRwZABqtUUTk+OlYKiIyglukZPhIplZUozWKiBy/iooKZs+eHdGrY/bs2TqWisiIMqJbpOTEl2ytqEZrFBE5fvX19bS0tBxz7N22bdtgF01EZMCoRUpOaMm2MGm0RhGR4zdq1CjKysoijr1lZWWMGjVqsIsmIjJgFEjJCS3ZFiaN1igicvza29uprKyMOJZWVlbS3t4+2EUTERkw6tonJ7RQC1NBQUH3tHgtTKHufoFAgIaGBvLz8zVao4hIkqZOncq1114bcSy94YYbWLt27WAXTURkwKhFSvrNQAyNm0oLU3FxMVu2bGHDhg1s2bJFQZSIDGlDcZjx8vJy1qxZQ2VlJevXr6eyspI1a9aodV9ERhS1SEm/GKihcdXCJCLD2VAdZlzHXhERtUhJP6moqGDatGkUFRUxa9YsioqKmDZtWr8MjTsQLUxDsUZYRIa/oTzMeCrH3oE4lup4LSIDRYGU9Iv6+nqee+45xo8fT1paGuPHj+e5556jvr4+br6heJIN1QiHd2EpLy+Pm08nchHpC/X19TzyyCM0NzcD0NzczCOPPNLrsXQoSuVYGggEyM7OpqCggOzsbAKBQK/rmDdvXsT+mjdvno7BItIvFEhJv3DOMWbMGNasWcP69etZs2YNY8aMwTkXM0/4CdA5l/AJMJmgJZUTebI1wqmsQ0QkmvT0dILBIKtXr2b9+vWsXr2aYDBIenp6n64nlcqfZPMk+7iKQCBAVVUVixYtoqamhkWLFlFVVRU3mJo/fz4dHR0R0zo6Opg/f36v2yMikizdIyUJq66upqKiors/fHl5edyuHDk5Oce8P3LkSMz08+fPJz09ndWrV3ffCzB79mzmz58fcz3J3j8QHhSFtiMUFMVaR319PXv27CEnJ6c7wHv00UfZu3dv1PThFwsbN25kxowZrFq1ikAgoPsHRCQpnZ2ddHV1UVJSwvbt25kyZQpdXV10dnb22TpSuQ8rlTwNDQ38+Mc/pqioiLa2NrKysigpKYn5uIqVK1eyePFi7rrrLjZu3Mhdd90FwMKFC6msrIyap7GxkTPOOOOY80hjY2NS+0REJBEKpCQhqZw0CwoKIgKWgoKCuDWWjY2NfPzjH2fmzJk45zAzPvaxj/Hmm2/GzJNsYFRfX09zc3PESTZ0gRJLeno6LS0t5OTkYGYAtLS0xKwRTvbZViHJBqoiMjKEWvJDx594LfupSKWCKZU848aNo6qqitNPP509e/Ywfvx4qqqqGD9+fNT0bW1t/P73vyc7O7s78Lrppptoa2uLuz3JnntERFKlQEoSkmwry4QJE3j66ac5/fTTAdi3bx9PP/00EyZMiLueN998k/Hjx3PgwAHGjRsXN4gCLzBqaWk5JsDbtm1b1PSjRo0iEAhEbEcgEGDhwoUx19HZ2YlzjkAgwNSpU6mvr2f+/Pl0dXVFTZ/ss63gw26N4a1e8+bNAwZ3ZC4RGVwZGRnHHGu6urrIyOi703eyre6hPMkcewEOHjyImXHPPfd0H0vvueceDh48GDV9eno6K1eu5Lvf/W53+q9//eu9dmt8+umnOe2003DOsXfvXp5++umE9oOISLIUSElCku2SMXv2bJYtW8auXbsA2LVrF2bG7Nmze13X4cOHI/7GM2rUKCZPnhxRrk984hPs3Lkzavr29nbuvfdevvGNb9DR0UFmZibZ2dm0t7fHXc+nPvUpFi5c2L2OT33qU/ziF7+Imra8vJxrrrmG1tbWiHU88sgjMZefSrdGERn+Ql37QgHKtm3bMLM+bZVKT0+nq6sr4vhz3XXXxQ1YRo0aRVlZWUSlVFlZWdxKqWAwyJQpU7j77ru7p02ZMiVmjwDnHM65iPSh6b1ty+7duwG6//b1PWUiIqDBJiRB48aNY8WKFd398js7O1mxYgXjxo2Lmn7t2rWkpUV+vdLS0hJ66n2o9jVWi0+4trY2fv7znzN69GgARo8ezc9//vOYXT/Gjx9PU1MTEydOJC0tjYkTJ9LU1BSza0nI66+/HnHD8+uvvx4z7ebNm2lubu5ufZswYQLNzc1s3rw5Zp7GxkaeeOKJiJuwn3jiCfXrFxnh0tPTjwkcnHN9Ghh0dnZy5MgRLrvsMmbNmsVll13GkSNH4t6H1d7ezv3338+5557LzJkzOffcc7n//vt7rZTavn07t912G88//zy33XZb3G7VwWAwqenw4XljzJgxEX8TOZ+IiCRLgZQk5MCBA8CHNYGhv6HpPTU2NtLV1RVxwuzq6kooMAhdICR6oWBm3eU4cOBA930E0Rw+fBgzY9euXQSDwe6WsnitXxkZGWRnZ1NZWcmVV15JZWUl2dnZMbvWrFy5kuLiYiZNmkRaWhqTJk2iuLiYlStXJrQ9IiIhoQAgdFwL/e3rwKCjo6O7Qmn8+PHHjHzXU25uLocPH2bbtm0Eg0G2bdvG4cOHyc3N7XVdK1as4Itf/CIrVqzoNa2ZkZmZCUBmZmbc43vIpEmTIoY/nzRpUq95RERSoUBKEhIKnEI1gaG/8bpYjBkzJuKEGaoZ7M2VV17Jf/zHf3DllVcmVbZY78N1dnYeU5sZDAbj1rx2dXV1d60JXTCEpkUTaiULH/48XisZQF5eHjfddBO1tbV0dnZSW1vLTTfdRF5eXsw8IjJy9KzE6k2yQ5Onp6fT1NQEQFNTU68VWQcOHKC9vZ3x48djZowfP5729vaYlWupcs6RnZ1NWloa2dnZCW3/3r17u3tLjBs3Lu69XiIix0OBlCQl/AG7vQmdlGO9j2XdunX85V/+JevWrUupjIkIr3lNJG1ra2tES1lra2vMvGbGeeedF/HcqfPOOy9uTeqSJUvo7OykpKSEwsJCSkpK6OzsZMmSJXHLpgf/ikhPqTzLrqurq7sVqqOjo9cWr+bmZtLS0jhw4ADOOQ4cOEBaWlp3S1BfMTOOHDlCMBjkyJEjCbVIARG9FHqj46iIpEqDTUjS4vVP7wuhG6n7+obqcMmcZEMjSvW8dyvWSFPOOTZs2EBaWhrBYJCGhgbq6urirqO4uJjHHnuMV155Becc27dvZ9asWXEHmkhlSHoRGf5SGZocvEqjgwcPMm7cuISOjdFa9/taqEWqtbW1+29fqq6uprS0lKNHjwJQV1en46iIJEwtUiNUqjVwyQQgqUq2C0t/S/aG51DLVc9ukPG6ygQCAV555ZXuATrS0tJ45ZVXCAQCMfOED0kfGqBi1apVVFRUxMyjmleR4a++vp6nnnoqokXqqaeeor6+Pm6+8NaloSQUPPV1EAUwZ84cjh49GtFF8ejRo8yZM6fP1yUiw49apEag42nJGIjWolSEhrwN/R1MsdYfr1zLly8H4NRTT2XPnj2ceuqp7N69m+XLl1NZWRk1T7IP/lULlsjIMGrUKHJzc495LMT7778/2EVLSah1P/Q3EZmZmd2Pn4g3cEZzczMZGRk0NTXhnKOpqYmMjIw+76IoIsOTWqRGoFRaMkKGWmtRSDJDpg+U8Nal3gSDQcaNG8eaNWtYv349a9asYdy4cXEvGvLz8/nyl79MdnY2BQUFZGdn8+Uvfznmg3+P53MXkRNH+GMhzKzXx0IMdT1b9xMRfr9Xbzo7O3nggQeoqanhgQceiDv4kIhIuF6v8MxstZntMbMtYdPuNbMdZvZr/3VF2Lx/MLO3zez3ZlbYXwWX1CXbkiGpSfbk/6UvfSkiyPnSl74UN31ubi5r166lpKSE559/npKSEtauXRtz+GF97iKRhvv5bah21RtqMjIyqKys5IorrqCysjLmoy1ERHpKpEXqMeALUab/i3Puo/7rJQAzmwr8DXChn2e5melx4kNMfn4+mzZtipi2adOmmC0Z4ZJpZZHk/OAHP8DMKCgowMz4wQ9+EDf9T3/6Uy644AKqqqr44he/SFVVFRdccAE//elPo6Y/ns9dZJh6DJ3fRrzOzk727duHmbFv3z61SIlIwnq9GnbO/QzYn+DyrgGeds61Oef+CLwNfOo4yif9oLy8nNLS0ohnFpWWllJeXt5r3lS6WEjvYtWAxqsZbWtrY+vWrZx22mmYGaeddhpbt26N2X3neD53keFI5zcBr2IwfIh1VRSKSKIskXtdzOwc4AXn3EX++3uBm4HDwBvA3c65A2a2FPilc+5JP90qoMY592yUZf4t8LcAp59++qVPP/101HU3NTUl/CDXVNIP1XUkk2fDhg08+eSTvPvuu5x99tnceOONzJw5s0/zFBQUxJxXW1t73OkHKs9wWUcoT1paGmlpaXR2dpKRkUEwGCQYDMbM8/DDD/Piiy9234R95ZVXMm/evJjrDpfMdziV72Sy6xjIPCO5XPHSFxQU/Mo594mkCjDEDNb57eb/18xjX8jptXzD7Zg11MqVyjrCDfZvUOVSuQZ6HSOlXAmf35xzvb6Ac4AtYe9PB9LxWrQqgNX+9KXAjWHpVgHX9bb8Sy+91MVSW1sbc15fpB+q60g0z5o1a9y5557rXn31VffKK6+4V1991Z177rluzZo1fVouwAEuPT094q/3FYqdPtqrt3X0Z57hso7wPGYW8TdWnoH6rhzPeobSb2ug15FKnsFeB/CGS+AcMpRfg3V+m7Lghdg7PXIfD7tj1lAqV7LH0Z4G+zc4mHlUruTyDJd1pJLnRCxXoue3lNqvnXO7nXNdzrkgsJIPuzfsAM4KS5rnT5N+kupIbKk+T2gojo430rkER1KsqKhg2rRpFBUVMWvWLIqKipg2bVqfj9oX/jDQwsJCAoFA98NARYY6nd9GnvT09O5u1BkZGXGf+SciEi6loWnM7EznXOiBFH8JhEY8WgesMbPvAZOB84HXj7uUElNDQwONjY1cdNFF3U+wX7BgQdyR2PQ8oZGprq6OhoYGTjvtNPbs2cP48eNZt25dn9/vVl9fz549e8jJycE5R3NzM48++ih79+7t0/WI9Aed30aerq6u7srBRIZLFxEJ6TWQMrNqYAYwycwagW8BM8zso3jN39uAWwGcc3Vm9gxQD3QCdzjnRnTTRXV1NRUVFd1BTnl5eZ8GK5MnT+bOO+9k3Lhx3Retd955J5MnT46ZJ7zFIFSuUIuBAqnhLT09nX379hEMBtm3bx/p6el9HkiFHoq8evXq7kD9uuuuUy2vDDk6v4mIyPHoNZByzkW7sl4VJ30FXr/yEW8gWn5aWlo4fPgw3/zmN5k6dSr19fXcc889cUcdqq+v591336W1tZVgMMjWrVv5/ve/T1NTU5+USYaujo6O7u9GV1dXQkFUspUBnZ2dZGZmRkzLzMzUkMIy5Oj8JiIix0NjfPajVO9fSsb+/fu56qqrWLhwIUVFRSxcuJCrrrqK/ftjj+gbGup1woQJAEyYMEFDvo4gyQxhH6oMqKysZP369VRWVlJeXt7rPXW33HJLxD1St9xyS5+UXUTkRJXqvckiMnTp8d39qKGhgenTp0dMmz59etz7l1Lx+uuvU1NT093qNXv27LjpQ33BQ/eshP5qAAnpKZVuoHl5eTz++OM89dRT3d/JG264gby8vAEuvYjI0KB7k0WGJzVB9KP8/Hw2bdoUMW3Tpk3k5+fHzZdMrVVGRgZNTU2UlJRw+eWXU1JSQlNTU9wHuYokqr6+nsWLF1NXV0cwGKSuro7FixdTX18fM8+SJUvo7OykpKSEwsJCSkpK6OzsZMmSJQNYchGRoWMgeqiIyMDT1XY/Ki8vp7S0tLsGqra2ltLS0rgHzmRrrbq6umhqaqK1tRXnHI2NjXR2dmJmvZbv1FNPZc+ePZx66qns2rUr9Q2VYa3nvU29fb9C39PQ9zwnJ4dFixap1lVERqyB6qEiIgNLgVQ/Cl04hneL6m1kvPBaq40bNzJjxgxWrVpFIBCImi89PZ3s7GwmTZrE9u3bycvLY+/evbS2tvZavj179hAMBtmzZ0/qGynDWqxnU/X2zKri4mKKi4u7v8MiIiNZqIdKQUFB97REeqiIyNCmQKqfJXtBmWytVWdnJ2PGjIkYanr27NkJjcAXalVIpPVKREREUpNKDxURGfoUSA0xqdRa3XzzzRGtXjfffDMPPPDAQBRXREREepFKDxURGfo02MQQE6q1qq2tpbOzs7vWqry8PGr6vLw8VqxYQXNzc/cDeVesWJHQCGmhUfo0Wp/0tcLCQtLS0igoKCAtLY3CwsLBLpKISJ9JZSjz4uJitmzZwoYNG9iyZYuCKJFhQC1SQ0yytVbXXnsty5Yto6mpCecc7733HsFgkK985Ssx12FmUe9xURc/6QuFhYW8/PLL3e+dc7z88ssUFhayfv36QSyZiMjxq66uZt68eeTk5ADQ3NzMvHnzAA1lLjLSqEXqBLd27VpOOumk7ofppqWlcdJJJ7F27dqYeVIdQEAkEeFBVCLTRUROJPPnzycjI4PVq1ezfv16Vq9eTUZGBvPnzx/soonIAFMgNcRUV1czd+5ctm7dSjAYZOvWrcydOzdmt4HGxkYyMzPJzc0lLS2N3NxcMjMzaWxsHOCSi4iIDH+NjY3cdNNNBAIBCgsLCQQC3HTTTTrvioxACqSGmLKyMpqamnjggQeoqanhgQceoKmpibKysph5Wltb2bFjB8FgkB07diQ09LmIiIikZvny5TQ3NwNe177ly5f3mieV+6pEZGjTPVJDzP79+1myZAl33XUXGzdu5K677qKrqytul4G2tjZuu+02rrjiCl566SVWrFgxgCUWEREZOdLS0jh8+DCHDx8GYNu2bd3TY6murqa8vLx7+PP09HRKS0sB3VclciJTi9QQ9MEHH0TUWn3wwQdx02dlZVFTU8PVV19NTU0NWVlZA1RSkb6hmloROVEEg0Hg2GcxhqZHU1FRwapVqygoKCAjI4OCggJWrVql50iJnOAUSCVhIC720tLSeOihhygpKeHFF1+kpKSEhx56KG5NV3Z2dtz3IkNZqKa2srKS9evXU1lZSXl5ea+/LwVfIjJYMjMzmTJlCmlpaUyZMoXMzMy46RsaGpg+fXrEtOnTp9PQ0NCfxRSRfqaufQkaqGb5cePGsX//fubPn9+9nmAwyIQJE6Kmz8jIoKWlhUOHDgFeF4PMzEwyMvTRyomhoqKCiRMnMnPmTJxzmBmXXnpp3GH/1U1GRAbTmDFjWL16dffx50tf+hIHDhyImT4/P59NmzZRUFDQPW3TpkmSl/sAACAASURBVE3k5+cPRHFFpJ+oRSpBA9Usf+DAAcaOHRsxnPnYsWNjHqDz8/Pp6OiISN/R0aGDs5ww6urqeOONN7qH33fO8cYbb1BXVxczT0VFBdOmTaOoqIhZs2ZRVFTEtGnT1E1GRAbE0aNHKSkp4fLLL6ekpISjR4/GTV9eXk5paSm1tbV0dnZSW1tLaWkp5eXlA1RiEekPCqQSlGqzfLLdj0aNGsW9995Le3s7tbW1tLe3c++99zJq1KiY5crKyiI9PR2A9PR0srKy1F1AhrW6ujpeeOEFFi1aRE1NDYsWLeKFF16IG3yJiPSFnJwcWltbOXToEGbGoUOHaG1t7X5AbzTFxcVUVFREDJker9VdRE4M6v+VoPz8fO677z7Wrl1LQ0MD+fn5XHvttXFbflLpftTe3s7SpUv52Mc+RldXF7W1tSxdupT29vao6Ts7O/n7v/97XnrpJRoaGrjgggu44oorePDBB49/o0WGKDPj5JNP5u677+6eNmHChLhda0RE+sLKlSspLS3tPt4cOHCAk046iZUrVw5yyURkoCmQSlBBQQGLFy9m8eLFTJ06lfr6ehYsWMDcuXNj5gnvDrhx40ZmzJjBqlWrCAQCMQOpqVOncu211xIIBLoDttmzZ7N27dqY61m2bBmnnXYa4D3PYtmyZce3sSJDnHOO/fv3k52dTWtrK9nZ2ezfv3+wiyUiI0Do/F1RUdF9ni4vL4/buqT7OkWGJ3XtS1BtbS0LFixg9erVXHnllaxevZoFCxZQW1sbM08q3QHLy8tZs2ZNxAhma9asidmP2swiBps4dOgQLS0t3cOxigxnoYdP6yHUIjKQNm/ezNtvv00wGOTtt99m8+bNcdNXVFQwe/bsiK59s2fPjntfp0YmFRn61CKVoIaGBv7nf/6H73znO92tSx0dHdx///0x86QySk+oZiq8RSpeP+rQDfrhXQzCp4sMZ+EtUgqmRGQgBAIBqqqqjumhAlBZWRk1T319PS0tLce0SIUe5tuTWrBETgxqkUpQKCgK11tQNFCj9PR8xlS8Z06JDCfJtkiphldEjtfKlSu5/vrrI3qoXH/99XHvkRo1ahRlZWURI/+WlZXFHEhKD/AVOTGoRSpBoaAoVDsUCoriHdSSbV2C1GqhgsEgV199Nbfccgs//OEPWbdu3XFsqcjwVF1dTUlJSXfQVVdXR0lJCaAaXhFJXFtbG+vXr2fMmDGAd2/y+vXraWtri5mnvb2d+++/n8rKSt59913OPvtsmpqaYg4kpQf4ipwYFEglKJWgKJSvuLi4uztgb8L7UYcPNhFvXWlpadTU1LBu3ToyMzNJS0sjGAwmvY0iw9mcOXOOablqbW1lzpw5CqREJCltbW0888wz3RWe11xzTdz0ubm57Nu3j0OHDhEMBtmxYwcZGRnk5uZGTa8H+IqcGBRIJSHZoCgV9fX1NDc3RzwxvaSkhO3bt8fMEwwGuweXCAaDCqJEomhubk5quohILE1NTRQXF7N7925OP/10mpqa4qZvaWmhvb2dJUuWdN9XNX/+fFpaWqKmT6UXjIgMPAVSSaiurk5quNNUjBo1is997nMRLVKf+9zneP/99+Pm6+rqivgrItGlp6d3V1Lo9yIiqcjKyup+5ML+/fvJysqKe6/m/v37ufrqq1m4cCFtbW1kZWVx5ZVXxuyKn2ovGBEZWAqkEjRQI+i0tbXxox/96JjRgDo7O/tsHSIj2cknn8yhQ4c4+eST9QBfEUlaRkYGo0eP5tlnn+2+Hrjuuut6PU+//vrr1NTUdOeZPXt23PQD0QtGRI6PAqkEpfJw3VRkZWVx3XXXsXr16u5aqOuvv55nn322z9YhMpL1fFSAiEgyurq66OjooLCwkI6ODjIzM8nOzo7bwp2RkcGRI0e6u+pPmTKFI0eOkJGhyzCRE5l+wQkaqBF02tvb2bx58zEtX7FG9gk544wz2LNnD6eddhq7du3q0zKJiIiIJzc3lz179tDR8f/Zu/+gqO57f/zPs7uwy4IoaEIQ/JFp4wyg7U3Tab8xTuuaIkWi5bZJ/C7mNg1ICqlbp2kD0f3jNjNdE2lrxy4KhkKqnet+/diZUH9RcHRNxtjvnZt701iQb9PcigZ/JoLIAruw7Pn+gbthlT37g/1xdvf5mHFWju+3573AnnNe7x+v9wQAYGJiAoIg+EwcAQBOpxMulwtjY2MAgLGxMYyNjXFNM1Gc44ZDAQplH6lQFBYWzrj7eWFhoWS969evw+VyMYgiIiKKoMHBQYyPj6O2thZHjx5FbW0txsfHJUe51Wo19Ho9FixYAEEQsGDBAuj1eqjV6ii2nIjCjSNSAYpWBh2j0YitW7ciPT0dwFRGsTfffBO7d++WrCcIAkRR9LwSERFR+I2MjECv1+Pdd9/Fvn37UFBQAL1eL7nBd6izTYhI3hhIBSjUDDqhZPpzOBy4ffu2Z6+JtLQ0v+1zB08MooiIiCJreHgYH3/8MVwuFz7++GM8/PDDkuULCwvxyCOPoLS01JO1r7S0FFqtNkotJqJIYCAVhGAz6ISS6a+urg5arRbt7e1emX3q6uokAzCmdCYKv5KSEpw8edIz2ltcXIzOzs5YN4uIYkgQBBw7dgy1tbVYt24dTpw4gaamJs9+jjPR6XTYu3cvHnjgAdy8eRPz5s3DkSNH8NJLL0Wx5UQUblwjFUHTM/2pVCrodDq0trZKTgfs7+/HgQMHvOocOHAA/f39PuukpKRAoZj6USoUCqSkpIT9vRAlm5KSEnR1dXmN9nZ1daGkpCTGLSOiWHIHTG+++SbWr1+PN9980+v4TNrb2zFnzhzPDJO0tDTMmTMH7e3tkW8wEUUMA6kIilamv4mJCWRkZAAAMjIyPJmEiCh0XV1dQR0nouTgcrmQkpLimf0xOTmJlJQUyQx8/f39OHz4MC5evIjTp0/j4sWLOHz4sGQnKRHJHwOpIFgsFixfvhxPPvkkli9fLrmwFAgt019+fj6ef/55WK1WOJ1OWK1WPP/888jPz5+xvEqlglqths1mAwDYbDao1WruTUEUIyUlJVAoFNDpdFAoFBzBIkpAExMTyMnJAQDk5OSwA5MoSTGQCpB7vZPZbEZnZyfMZjOMRqNkMOXO9Dc9KKqqqoLRaPRZp6GhAU6nE5WVlSgpKUFlZSWcTicaGhpmLD85OYnU1FSvY6mpqVwnRRQD7umA8+bNAwDMmzeP0wGJEtR3v/tdHD16FN/97nf9lg22k5SI4gMDqQCFst5Jr9fDZDJ57QnlL9OfXq/Hxo0bce3aNbhcLly7dg0bN270WScvLw9KpRJ5eXmeDQHdXxPR7BUVFcFisaCoqMhv2a6uLiiVSs9+MoODg1AqlZwOSJRgcnJy0NTUhPXr16OpqckzOuVLsJ2kRBQfGEgFKNT1Tnq9Ht3d3Th16hS6u7sDSpd+6NAh5ObmQqFQIDc3F4cOHZIc+XIvhncvdGUKdKLw6enpgV6vR09PT0DlJycnvTbq5OgwUeK5ceOG1+f8xo0bkuX1ej12797t2SMyPT0du3fv9vtMQETyxoU0AXKvd9LpdJ5j/tY7haKurg4qlQptbW2edOabNm3ymf78ypUryMjIwJUrVzz7Tmk0Gly5ciWs7SKiwGi1WjQ3N3vSIWu1WoyOjsa6WUQUZm+//Tb27duHBx98MKDywW6hQkTyxxGpAIWy3ikU/f392L9/v9cUwv379/vM7KNUKuFwOLyOORwOKJXKsLaLiAIzOjrqlTKdQRRR4pkzZw5u3boFl8uFW7duYc6cObFuEhHFAAOpAIWy3ikanE4nxsfHsXnzZhw9ehSbN2/G+Pg4nE5nTNtFRESUiNRqNTZs2IBly5ZBoVBg2bJl2LBhA9RqdVjPE2ymYCKKPk7tC0I0huXz8/Px/e9/HwcPHsTk5CSsViu+//3vS2b2ycrKQlNTE5qamjxfuxe7E1H0KRQKuFwuzysRJY7q6mo0Nzdj586dKCwsxIULF1BfX4+ampqwncOdKbi1tdUzzb+qqgoAYt6BS0Sf44hUEELpHQq2TkNDA0ZHR1FSUoLi4mKUlJRgdHRUMrPP4OCg14a8DKKIYssdPDGIIko8ZrMZNTU12L59O0pLS7F9+3bU1NTAbDZL1gvmeSCUTMFEFH0ckQpQKL1DofYoqdVqZGdn4/Lly8jLy8PIyIjf9k3fkJeIiIgix2w2w2w2BzxDJdjngVAzBRNRdHFEKkCh9A6FWufFF1/0SpH64osvsheKiIhIJoKdbWIymVBRUeG1zrqiosLnvd2dKXi6SGQKJqLZ4YhUgELpHQqlzoULFzA6Onpfr1VfX9+s2k9ERESzF8pskwsXLuDmzZueTtKRkRG8+eab+Oyzz2Ys784U7D6HO1MwO1WJ5IWBVIBC2UcqlDqpqalYuXIlDAYDent7UVBQgJUrV+Lq1auS7dNoNLDb7Z5XIiIiCj+TyYQvf/nLKC0thcPhgFqtRmlpqWQmX6VSicnJSa89Ip9++mmfW5W4/5/pzwJyyBRMRN4YSAUolN6hUOo4HA5YLBY88MADcLlc+Oyzz2CxWPwuWncHTwyiiIiIIqenpwd///vf78vaJ7XtiNPpREpKitexlJQUyTrcwJdI/hhIBSiU3qFQ6qhUKqjVaqSlpUGhUCAtLQ1paWn3bbpLRInDYDCgpaXF07tdXV3tNwMYEcWGIAj45je/iba2Ns+9/Zvf/CZOnz4tWe+FF17weh544YUX8MYbb0Sp1UQUCQykghBK71CwdZxOJxYsWOA1/F9RURFQ5j4iij8GgwGNjY2erx0Oh+drBlNE8iOKIk6dOoWcnBzPzJGenh7JOvn5+WhqakJWVhaAqTVSTU1NkntEEpH8MWufDH3ta19DaWkpiouLUVpaiq997WuxbhIRRcj0ICqQ40QUeyqVCgMDAwCAgYEBqFTS/dLl5eUYHh7G2NgYXC4XxsbGMDw8jPLy8mg0l4gihIGUzGRnZ+P48ePYsWMHOjo6sGPHDhw/fhzZ2dmxbhoRRZAgCF6vRCRfTqcTGRkZAICMjAzJtU4AYLVasW3bNixYsAAKhQILFizAtm3bYLVao9FcIooQTu2TGa1Wi8nJSZjNZly+fBmLFy9GRkYGtFqtZD13RiD3KxHFF4VCgcnJSc8rEcmXWq2GzWYDANhsNqjVasm1zL29vfjggw/wi1/8wjPVf2JiAq+//nq0mkxEEcARKZm5evUqzGaz14a8ZrPZb/rzzMxMCIKAzMzMaDSTiMJMq9VCoVD47TQhothTqVTIy8uDQqFAXl6e36l9BQUFeO2117w28X3ttde4wS5RnGMgJTMFBQXIz89Hd3c3Tp06he7ubuTn5/u92A4ODkIURQwODkappUQUTsPDw3C5XBgeHvZb1mAwQKPRQKfTQaPRwGAwRKGFROQ2OjqKsbExiKKIsbExjI6OSpbX6XTYuXMnKisrcfz4cVRWVmLnzp1e+0wSUfzh1D6ZCXU3c0EQIIqi55WIEhOz/BHFlkqlglKpxMDAAERRxMDAAFJTUyWn5FqtVjz11FPYvn27Z5uDp556imukiOIcAymZCXU3c66vIEoOUln+GEgRRZ7T6fTcbwHA5XLB6XRKdmJeuHABIyMj6Ojo8KxnrqysxKVLl6LVbCKKAE7tkyG9Xu81tc9fEJWZmYlFixZBoVBg0aJFXCdFFEfcGTmVSqXXq79MnRqNxuuViKJDpVJBq9Vi0aJFEAQBixYtglarlVwnlZqaCoPBAJ1OB5VKBZ1OB4PBgNTU1Ci2nIjCjYFUAsjJycGlS5fgcrlw6dIl5OTkxLpJRBSgxsZGZGZmenq3FQoFMjMz/e4jdeLECZw8eRInTpyIRjOJ6C6n0+np8HBvV6BUKiVToI+Pj+PnP/85UlNTodPpkJqaip///OcYHx/3WcdisXglp7BYLOF9I0Q0a5zaF+fUajX+8Y9/YMOGDXjhhRfw1ltv4ciRI1Cr1bFuGhEFwD3ibDKZ0Nvbi2XLlsFoNPodif7ggw9QWFiI8+fPR6OZRDSDQNckZ2VlYXBwEDk5Obh58ybmz5+PGzduICsra8byFosFRqPRs15aqVSiqqoKAPxeG4goevwGUoIgtAF4CsBNURSX3z2WDeAQgKUA+gA8K4rioDDVNbMbwDoAowB+IIri/0Sm6QQAk5OTUKlUOHLkCI4cOQJgatoB10kRxQ+9Xg+9Xu/ZXyYQP/3pTyPbqCTA+xuFQqVSweVyeR1zuVySU/vu3LmDrKwsHDx40BMYPf3007hz586M5U0mE1pbW6HT6TzXhdbWVhgMBgZSRDISyNS+3wP49j3HXgVwShTFRwCcuvs1AJQCeOTunxcBNIWnmeSL0+mERqNBSkoKACAlJQUajcbvLutEFJ98Paz528eGZvR78P5GQXI6nRgdHYXdbocgCLDb7RgdHZW87zqdTjz99NMoLS1FcXExSktL8fTTT/us09vbi1WrVnkdW7VqFXp7e8P6XohodvwGUqIovgtg4J7D3wGw/+7f9wMon3b8gDjl/wUwTxCE3HA1lmbmdDq9NgZkEEWUuA4cOOBZn+GmVCpx4MCBGLUofvH+RqFQq9WYM2cOrl+/DpfLhevXr2POnDmSU+pVKhXa2trgcDgATG1b0NbW5rMDpKCgAGfPnvU6dvbsWVls4Mt97Ig+F2qyiRxRFK/d/ft1AO7sBnkAPplWrv/uMQpCsBcpu92Ovr4+uFwu9PX1wW63R6mlRBRter0ef/jDH1BUVASFQoGioiL84Q9/4HSf8OH9jSQ5HA4MDQ15Zc4cGhryBEm+uGeQuOtIdXq695S0Wq1wOp2ePSWNRmP43kgIDAYDmpubsWPHDnR0dGDHjh1obm5mMEVJa9ZzQURRFAVBCHoHWEEQXsTU9Ajk5OTgzJkzM5az2Ww+/y0c5eV2jt27d+Po0aN48cUXsWbNGpw+fRpNTU3o7+/H1q1bgzpnsG2MVp1kblcyv/dQ6iRbuwK9TuTm5qKxsRE2mw0ZGRlBtSka17tEEen722y/r/H8uz7bOnI4h7vTcnrnpa867kx/ExMTAICJiQlPpr+Z6uTm5mLTpk2orKzE5cuXsXjxYjz33HPIzc0N67Uk2Dr79u1DdXU1vvKVr8Bms+ErX/kKqqursW/fPnzve9+LWbuifQ65tiuZ33u02nUfURT9/sHUotvuaV//HUDu3b/nAvj73b/vA6CfqZzUn8cee0z0xWq1+vy3cJSX2znUarW4adMmsaioSFQoFGJRUZG4adMmUa1Wz1gegM8/vkSjTjK3K5nfO9s19e8KhcLrVarOdHK6FgVSHsD7YgD3EDn/QYzub0vqj/n8vt7zPZb173q8t2s256itrRWPHj0q1tbWBlTnmWee8bq3P/PMMwFdG6LxOQ+0DgBxZGTEq/zIyEjErnGh1JHT9ysRzxFKnXhsV6D3t1Cn9h0B8Pzdvz8P4E/Tjn9fmPJ/ARgSP58iQQFwOBz485//jJGREQDAyMgI/vznP/udMuDey8L9SkSxIQiCJ6OXy+XiZzL+8P5GfmVlZaGtrQ3r169HW1ubzzTm0x0+fBi3bt0CANy6dQuHDx+OdDPDTq1Wo7m52etYc3Mzt1yhpBVI+nMLgNUAFgiC0A/g3wG8AeD/CIJQBeASgGfvFj+BqdSwH2MqPewLEWhzwhsfH0dbW5snRep3vvMdv3XEu3tZuF+JKDbu/QzyMylfvL9RqAYHB7Fy5Ur85Cc/wW9+8xucO3cuoHrXr1/3eo031dXVqK+vBwAUFhZi165dqK+vR01NTYxbRhQbfgMpURR9rWB+coayIoAfzbZRyW54eBhr1qyJdTOIiBIa7280G+fOnQs4gEoUZrMZALB9+3Y4HA6o1WrU1NR4jhMlm1Cn9iUli8WC5cuX48knn8Ty5cthsVgiUgcAFAqF1ysRERHJh3s6XyDT+tzc6c7jed83s9kMu90Oq9UKu93OIIqSWvx+kqPMYrHAaDSitbXVM+WuqqoKAHymHQ6lDjC1qW5eXp4nU8+VK1c8mX6IiIgodtRqNb761a/i/fffBwCMjo7iiSee8HwtZcGCBbh58yYWLFgQt9P7iOhzHO4IkMlkQmtrK3Q6HVQqFXQ6HVpbW2EymcJaB5hKizp9XygGUUQ0HTfEJIqd8fFxXLlyBR0dHTh58iQ6Ojpw5coVjI+PS9YTBAGiKMLlckEUxYgkoikpKYFCoYBOp4NCoUBJSUnYz0FEn2MgFaDe3l709/d7TdPr7+9Hb29vWOsQUfKZP38+BEGATqeDIAiYP3++z7IGgwF79uzxZPJ0OBzYs2cPgymiKCksLMSmTZtgMBhQUlICg8GATZs2obCwULKeKIpeWfvCnYimpKQEXV1dqKmpwdGjR1FTU4Ouri4GU0QRxEAqQAsXLoTBYMDIyAhEUcTIyAgMBgMWLlwoWaempgYfffQRXC4XPvroI9TU1EjWIaLkMn/+fAwMDCA1NRUAkJqaioGBAZ/B1J49eyCKIrKysqBQKJCVlQVRFLFnz55oNpsoaRmNRpjNZq97u9lshtFo9FvX6XR6vYbTyZMnUVtbi7179yIjIwN79+5FbW0tTp48GfZzEdEUBlIBGh0dhc1mg8FgwIkTJ2AwGGCz2TA6OuqzzuDgIEZHR7F582YcPXoUmzdvxujoKAYHB6PYciKSs4GBASgUCixcuBCCIGDhwoVQKBQYGBiYsbwoikhJSYHNZoPL5YLNZkNKSgrTrBNFyblz52Cz2TB//nwoFArMnz8fNptNMoPfvXs9BrL3Y7DJqkRRxOuvv+517PXXX+e1gSiCGEgFaGBgAHV1dWhra0NZWRna2tpQV1fn82EHmNpM95FHHkFzczPWr1+P5uZmPPLII57NdqUwax9R8nCvhxRF0bM+UsrExITXpr9cR0kUPS0tLfjiF7+IGzduwOVy4caNG/jiF7+IlpYWn3VEUYRGo8GSJUsgCAKWLFkCjUbjM8hxJ6sym83o7Oz0jHhJBVOCIGDbtm1ex7Zt28ZNwYkiiE/pQdDpdOju7sapU6fQ3d0NnU7nt84///lP/OpXv0JHRwd+9atf4Z///GcUWkpEia6srAxvv/02ysrKYt0UoqTicDjw0UcfYd68eRAEAfPmzcNHH33kWbfoy5o1a3Dt2jWIoohr165J7hcZSrKq4uJiNDU14aWXXoLNZsNLL72EpqYmFBcXh/xeiUga058HKD8/H88++yzmzZvnSUt++/Zt5OfnS9ZLTU3Fo48+isnJSTz66KNITU3F2NiY3/NN720mIrrXsWPHcOTIEY5aE8WASqXC3Llzcfv2bcydOxfDw8N+1z2dOHECOTk5uHHjBubNm4cTJ074LNvb24tVq1Z5HVu1apVksqrOzk6UlJSgubkZTU1NEAQBa9euRWdnZ3BvjogCltR34GDmH5eXl2NoaAiffPIJXC4XPvnkEwwNDaG8vFzyHHa7HRUVFSgpKUFFRQXsdnu43wYRJRmlUunV2aJUKmPcIqLk4nQ6MTQ0BEEQMDQ05DeIUqvVAICbN296vbqP36ugoABnz571Onb27FkUFBRInqezsxMulwtWqxUul4tBFFGEJe2IVLCb5ba3tyMzMxNZWVm4fPkyFi1ahMHBQbS3t/vc1VutViMrK8uz6d7169fx0EMPMdkEEYVMqVRicnISDz30EG7evIkHH3wQ169fZzBFFEUKhcJzLx8cHIRCoZCcQeJwOJCSkuJZz+hOGuNrOqDRaERVVZXnGcVqtaKqqsrvPpREFF1JOyIV7Pzj/v5+HD58GBcvXsSpU6dw8eJFHD58GP39/T7PsWzZMly/fh0ZGRkQBAEZGRm4fv06li1bFqm3RUQJrra2FoIg4Pr163C5XLh+/ToEQUBtbW2sm0aUNFwul1fmvUCm4ZtMJoiiCKvVClEUJYMivV4Pk8nktVeVyWSasaOXiGInaQOpUOYfh3IOlUoFm80GURRhs9mgUqm4IS8RhWzlypX3ZfoSRRErV66MUYuIkpP7cxhoevFdu3bBarXC6XTCarVi165dkuX1er1XgisGUUTykzCBVLD7LRQUFODZZ5+FRqOBTqeDRqPBs88+63P+cX5+PsrLy5GamgqdTofU1FSUl5dLJptwOp1QqVRISUkBAKSkpEClUkVkIz4iSg7PPfdcUMfdDAaD1/XOYDBEonlESSMrK8vrVUp+fj7GxsZQWVmJkpISVFZWYmxszG/CKiKSt4QIpELZbyEvLw/t7e2orKzE0aNHUVlZifb2duTl5c1YvrCwEKOjo17T9EZHR1FYWCjZNrvd7rVpH5NNENFs+JpCJDW1yGAwYM+ePZicnAQATE5OYs+ePQymiEKk0Wgwd+5cCIKAuXPnQqPRSJZvaGiAy+XClStXvF4bGhqi1GIiioSECKRC2W/hnXfewRNPPIG2tjasX78ebW1teOKJJ/DOO+/4LL9s2TLcvn0boiji9u3bWLZsmc/y001fy0BEFG179+6FKIqe0XCn0wlRFLF3794Yt4woPrmTu7jXSQWS7EWj0SAvLw+CICAvL89v8EVE8pcQWftCWe/kcDhw5coVdHR0eLL2VVZW+syg43A48L//+7/41a9+hcLCQly4cAF1dXWeHl4iIrkKZRQL+Pwh0S3QtSA0sy+/1oWhsQnP10tfPe75+9y0FHz472tj0SwKklKpxMjICEZGRgAAfX19nuO+mEwmHDp0CDqdDmfOnMHq1athtVphMBi49okojiXEiFQo+y0IgoDS0lKvUazS0tL7HhymKysrw8svvwyNRoOXX34ZZWVlYXsPRESRplKpvF79EUURS+qPQRRFBlFhMDQ2gb43ytD3Rhl+/+10z9/73ijzCrBI3nxN6Zea6h+NBFdEFH0JEUi591uYng2nqqoKRqPRZx1RFNHS0oJdu3bBbrdj165daGlpkXxYOHHihFd5qV3Jp5u+lw5J1wAAIABJREFUroqIKFamT+0jotD09vZCrVZ7JZJSq9WSQVGoG+wSkbwlxNQ+97C4wWBAb28vCgoK/O63UFRUhEceeQTbt2+Hw+GAWq3GU089hX/84x8zller1fjqV7/qVf7rX/863n//fcm2CYIAm80GALDZbBAEgT27REREccrpdOLIkSMoLS31TNPr6OjAunXrfNbhBrtEiSkhAilgKpjS6/Wei5o/RqMRRqPRa42U1EWturoazc3N2Llzp2eNVH19PWpqaiTPI4oi5syZg5GREaSnp2N4eDiUt0dEREQy0d3djdLSUq+vpYTS4UtE8pcwgVSwgr2omc1mAPAakaqpqfEc90WhUHiCp+HhYSgUioB2QCciIiL5yc7OxrZt26BUKlFYWIhdu3Zh27ZtyM7OlqwXbIcvEclf0gZSQPAXNbPZDLPZHPRFMCcnBzdu3EBOTg4+/fTT0BtMREREMdXY2IjKykr89Kc/9RzTaDRobGyMYauIKBYSItmEXBUVFWHDhg24ffs2AOD27dvYsGEDioqKYtwyIkpGWVlZEAQBWVlZsW4KUVybM2cOli5dCkEQsHTpUsyZMyfWTSKiGEjqEalIC3Yd1nRcV0VE4aJWq+FwODA4OAgAnle1Wj1jee53FBlzCl7Fiv2vfn5g//R/AwBuqREPuCcUEbkldSBlsVhgMpk8a6SMRmNYL4KhLi5VKpVe66qUSiU3/iWikL311lt4/vnnMTHxeXCUkpKCt956a8by7v2OANw3lXl6UEXBGe59g9/XBMA9oYjILWkDKYvFAqPR6ElF6h4tAhD2YCqYdVj5+fmw2WyYN28eLl26hCVLluD27dvcg4qIQua+pkWy44goWbj3hNLpdJ5j3BOKKDkl7Ropk8mE1tZW6HQ6qFQq6HQ6tLa2xnxPh4aGBs8mf4IgAJjqOW5oaJixfFFREcrLyz1TdNRqNcrLy7kOi4i86PV6dHd349SpU+ju7mYQRRQi955QVqsVTqfTsyeU0WiMddOIKMqSNpCS69C8Xq/H7t27kZ6eDgBIT0/H7t27fT70GI1GvPfee8jNzYVCoUBubi7ee+89XtCJ4sSKFSuCOr5ly5agjhNReOn1ephMJhgMBpSUlMBgMHBPKKIklbSBlHtofjq5DM2H2nMsimKEW0ZE4Xb+/Pn7gqYVK1bg/PnzM5Y3m83YsmWL1yj0li1b/O5pR0ThwxFeIgKSOJBKlKF5d/agixcv4vTp07h48SIOHTokOUWR0wGJ5OX8+fMQRRFWqxWiKPoMotzMZjPsdjusVivsdjuDKCIiohhI2mQToWbUk5tQpigajUZs3boVubm5uHz5smc64O7duyPdXCIiIiKihJC0I1KAfIfmLRYLli9fjieffBLLly+HxWLxWXa2UxQ5HZCIiIiIKHhJHUjJkTstu9lsRmdnJ8xmM4xGo89gKpQpiqFMBySiwOj1ehQVFUGhUKCoqEg2HTREREQUXkk7tU+upqdld+891dra6nPH9FCmKMo1YyGR3Oj1epw/f97z2frSl74kOUIMAKdPn4bFYvHsT8dAioiIKDExkJKZUIKcYDf95WaClIxUKhWcTueMx32xWq04ePCgJyiqqKiQPEd+fj6Gh4dRWVnp2VDbbrcjPz9/1u0nIiIieeHUPpmJRlp2o9GIjRs34uGHH8aaNWvw8MMPY+PGjXGXsZAoGAcOHIBC4X3JUygUOHDgwIzl8/PzMTY2hsrKSpSUlKCyshJjY2OSQVFDQwNSU1O9jqWmpvrcUJuIiIjiFwMpmYl2WnZBECLy/xLJ0fz587F06VIoFAosXboU8+fP91l2elDkTsriLyiavqG2IAh+N9QmIiKi+MVASmaisWP69GQTp06dYrIJijvZ2dlBHQeC/70PNSiSazZQIgqfYLLrElHiSuo1UiUlJTh58iREUYQgCCguLkZnZ2esmxX0mqdgMdkEycnatWvR1dU143FfGhsbUVNTg7GxMUxMTCAlJQVpaWlobGz0WSca6w+JKPG5s+u2trZ61k9WVVUBADtOiJJM0o5IlZSUoKurCzU1NTh69ChqamrQ1dWFkpKSWDct4goKCvDaa6959aa99tprftdh3TsNkNMCKRw6OzuxYsUKr2MrVqyQ7NTQ6/Vobm7GsmXLoFAosGzZMjQ3N0s+xERj/SERJb7p2XVVKhV0Oh1aW1s5q4MoCSVtIHXy5El861vfwrvvvovvfOc7ePfdd/Gtb30LJ0+e9FknlKF8OQ7/63Q67Ny5E5WVlTh+/DgqKyuxc+dOryx+M7l3815u5kvhYLFYYLPZcPr0aZw8eRKnT5+GzWbz+1kJdgpdtNcfElFi4qwOInJLmKl9BoMBLS0tcDgcUKvVqK6uhtls9lleFEX89a9/RUZGBkRRxMjICP7617/6DA4sFgu2bt2K9PR0T/mtW7cC8D2Ub7FY8MMf/hB2ux0ulwsfffQRfvjDH0rWCeW9BDtF0Wq14l/+5V/ws5/9zFPnscceg9Vq9VmHKFJMJhNsNhvWrFnjOfbAAw+EfW1gKHuuERHdi1uIEJFbQoxIGQwGNDc3Y8eOHejo6MCOHTvQ3NwMg8EgWe+zzz5DX18fRFFEX18fPvvsM59l6+rqYLPZcOXKFYiiiCtXrsBms6Gurs5nnS1btsBms8HlcgEAXC4XbDYbtmzZErb34p6i6A4ARVH0O0Wxp6cH77//vled999/Hz09PT7rEEVKT08PPv30U6xcuRKHDx/GypUr8emnn0bk95GJIIhotkId3ZbjDBUimp2ECKRaWlqwc+dOvPzyy9BoNHj55Zexc+dOtLS0+K2bk5ODt956Czk5OZLl+vv7MTY25hV8jI2Nob+/32edgYEBCIKAhoYGdHR0oKGhAYIgYGBgQPK9bNy4EW1tbSgrK0NbWxs2btzo8724F+lnZWV5vc60eJ9IroqKivDee+9hwYIFeO+991BUVBTrJhERzUiv16OsrAylpaUoLi5GaWkpysrKJDtm3AkqzGYzOjs7YTabYTQaGUwRxbmECKQcDgdqamq8jtXU1MDhcEjW02q1uHnzJl544QXcvHkTWq3W77nc+85I7T8z3UMPPYSf/exnKC0txc9+9jM89NBDkuUdDgc6OzsxMjICABgZGUFnZ6fke1EoFLDZbAAAm81236ajvmzYsAFvv/02NmzYEFB5okgZGhry6t0dGhqKdZOIiGZksVhw/PhxdHR04OTJk+jo6MDx48clgyImqCBKTAkRSKnVajQ3N3sda25uhlqtlqynUqmwZMkSCIKAJUuWQKUK/5Kxq1eveo1iXb161W8dh8OBtrY2dHZ2oq2tzW9A6HK58MYbb6CjowNvvPGGZyqhlAULFqCzsxP/+q//is7OTixYsCCwN0QUARqNxmvvNI1GE+smERHNKJSgiAkqiBJTQiSbqK6uRn19PQCgsLAQu3btQn19/X2jVPe6c+cOtFotBEGA3W7HnTt3/J7rxo0bXq+RMDw8jLVr18LpdEKlUsHpdPqt84tf/AKDg4OeqX3+fPbZZ56Rq4mJCcn1YUSRtGjRInz88cdYuXIlDh06hN/85jc4d+4cFi1aFOumERHdJ5SgyL3tSHt7uyfZTXl5ORNUEMW5hAik3Bnttm/f7sl0V1NTI5npzh2g3LhxA6IoegKjSIxKhcIdPAUSRAHA4OCg12sgpifBIIqVy5cvIyUlBefOncO5c+cATH0OL1++HOOWERHdr6CgAM8++yw6Ojo8zxylpaWSQZFOp8Prr7+OBx98EABw69YtvP7663jppZei1WwiioCEmNoHTAVTdrsdVqsVdrtdMogCgMnJSSgUCq9pdwqFApOTk9Forl9ZWVkQBCHgESaiePWlL33pvg4Dp9OJL33pS5L1mAGLiGIhLy8P7e3t0Gq1UCgU0Gq1aG9vR15ens867e3tyMzMhEajgSiK0Gg0yMzMRHt7exRbTkThljCBVLCUSiXmzp3rtQno3LlzoVQqY900AFMjS6IoBjTCJAiCJ+tgTk4OBEGIdPOIwuZvf/tbUMeBqSCqoqICPT09cLlc6OnpQUVFBYMpIoq406dPQ61We7Y3sdlsUKvVOH36tM86/f39+MY3voFr165BFEVcu3YN3/jGNyQz/7KziEj+5DGPLQacTifsdjtKSkowMTGBlJSUgNcjRYMgCJ7Ncn1tEuy2ZMkS9PX1AZhau7V06VLP10SJqKKiwudx7g1FRJHkdDqh1WqRnZ2NS5cuIS8vDwMDA37XWR87dgy//OUvUVhYiAsXLuCVV17xWdadLr21tRWTk5NQKpWoqqoCAF7jiGQkaUekAMButyM7OxuCICA7Oxt2uz3WTfKYPuVQSnp6Ovr6+lBbW4ujR4+itrYWfX19SE9Pj0YzieJKsD287BEmopm4s+m6Z4D4y64LAKmpqTCbzVi3bh3MZjNSU1N9ljWZTKioqPDKZlpRUcF06UQykzAjUhaLBSaTyZMNx2g0+u21UavVSEtLAwCkpaVBrVbLKpgKhPvi3dTUhKampvuOE9EUi8WCrVu3ejoZRkZGsHXrVgAz9/BaLBZs2rTJ05nR09ODTZs2+SxPRMnD4XCgtLQU69atw4kTJ7zuv1J1PvnkE4iiiE8++UQy0dOFCxcwMjKCtrY2z4hUZWUlLl26FM63QUSzlBAjUqHuGG6329Hf3w9RFNHf3y+rIMq9Vsvfmi33VMSUlBSvV7lMUSSSi7q6Onz66afo6+uDy+VCX18fPv30U9TV1c1Y/rnnnrtvRFgURTz33HPRaC4RyZhKpUJTUxPWr1+PpqamgDL+qlQqz7YjCoVCsk5qaioMBoPXXlUGg0FyFIuIoi8hAqlQdwzXaDTIz8+HIAjIz8+X1Sag7uyBgWQRzMzMxLJly6BQKLBs2TJkZmZGunlEccfXom5fx929xRs2bMDbb7+NDRs2eB0nouQ1OTmJhx56CAqFAg899FBA9+qJiQls3rwZR48exebNmzExMeGz7Pj4OBobG2G1WuF0OmG1WtHY2Ijx8fFwvg0imqWECKR6e3vR39/vtZahv7/f747h4+PjMBgMOHHiBAwGQ9xeoO7cueOVvSyQjYWJklUwWws8+uij+NOf/oR58+bhT3/6Ex599NEotJCI5EylUkGr1Xo6XzUaDbRard9RqccffxxtbW1Yv3492tra8Pjjj/ssW1hYOOMaqcLCwrC+FyKanYRYI7Vw4UL8+Mc/xrx58yCKIkZGRvDjH/8YCxculKz31FNPeW3i+9RTT+HIkSNRarU0jUYDu93ueSWi8Ahm8+oPP/wQVqsVk5OTsFqt+PDDDyPdPCKSucnJSc/6avf037S0NIyOjkrWu3DhAnJzc3H58mXk5ubiwoULPssajcYZs/Yx2QSRvCREIDU6OoqhoSFoNBoIggC73Y6hoSHPXOSZ5Ofn45133vG6qL3zzjvIz8+PYst9cwdPDKKIwislJcWz5YHU1Bpgahrf9C0SOK2PiAoLC1FeXo729nYIgoD09HRs2rRJcnPd7OxsDA4OevaeciebyM7OnrG8O6GNwWDwJNEymUxMdEMkMwkRSA0MDECr1eLWrVtwuVy4desW0tLSMDAw4LNOeXk59u7dC41GA5fLhbGxMQwPD+Pf/u3fothyIoo2d/DkL4hasWIF/va3v91XfsWKFZFtIBHJWqijRe69IQEEtEekXq+HXq/HmTNnsHr16nA1n4jCKCHWSAFTF6W8vDyvVylWqxVLlizBjRs3AExtZLtkyRJYrdZoNNevOXPmQKFQYM6cOQGVDzTLHxEF5vz58/cFTStWrMD58+dj1CIikgO9Xo+ysjKUlpaiuLgYpaWlKCsrkxwtGhgYwNy5c70SXM2dO1eyw5eI5C9hAqnR0VGvxBH+5ir39PTg4sWLXhvZXrx4ET09PVFqsbTh4WG4XC4MDw8HVD6YLH9EFJjz589DFEVYrVaIosggiohgsVhw6NAh5ObmQhAE5Obm4tChQ363XDEajbh48SJOnz6Nixcvwmg0RqnFRBQps5raJwhCH4BhAJMAnKIoflUQhGwAhwAsBdAH4FlRFP2v6p6ltLQ0mM1mXL58GYsXLw5o4eeGDRuwd+9enDlzBnv37sWVK1dkkWxCqVR6BUT3fk1ERJElp/sbyUtdXR2USqXXZrkVFRWoq6uTHJXatWsXvvrVr3qS1+zatSuKrSaiSAjHiJROFMV/EUXxq3e/fhXAKVEUHwFw6u7XEefeiNY959j9tRR3Ri73Hg1yycg1OTnpNVLGIIqIKCZkcX8jeenv78eBAwe89q48cOCAzz3pgKkEV2NjY6isrERJSQkqKysxNjYmmwRXRBSaSEzt+w6A/Xf/vh9AeQTO4cV9gerr64Moiujr6/N7gRIEAXfu3MGaNWtQXFyMNWvW4M6dO37XVgXr3v8v0P9/+o7pRBQ+K1euxOHDh7Fy5cpYN4XiT9Tvb5QYGhoakJqaCuDzDt/U1FQ0NDTEsllENEuzDaREAF2CIPy3IAgv3j2WI4ritbt/vw4gZ5bn8KuwsBDj4+OeDTazsrIwPj4uuXFdVlbWffvIDA4OSm7SeW86dan06m6iKHoljvCXpcct2OQR0987UbJwfwYD+SwCQEZGBs6dO4dnnnkG586dQ0ZGRiSbR/FNFvc3kp/8/Hw8//zzXjNann/+ecnOW71ej927dyM9Pd2TMn337t1MZ04U52ab/nyVKIpXBEF4EMBJQRD+v+n/KIqiKAjCjJHD3RvTiwCQk5ODM2fOzHgCm83m89/crFYrvvWtb+Hjjz/G0NAQ5s6di8ceewxWq9VnXV+ZcgYGBnzWuXcPGffXvsq705u6E0a4XwVB8FnHvR7q3uQRSqVS8vsw0yaj/r5vM4lGnWRuVzK/91DqSJUXBMHzGXS5XJ7Pm1Qdm82GDRs2QK/Xw2KxeNZE+mtXINehWNSJ5DncZWYqH8rPPg5F5P4Wzu9rrD+DsawTy3P84Ac/QGNjIyoqKnDz5k08+OCDsNvt2LJli+Q5cnNz0djYCJvN5unECaRNyXj9Ybvke45kb9d9RFEMyx8APwfwMwB/B5B791gugL/7q/vYY4+JvlitVp//5gZAHBkZ8So/MjIiTr0933V8/QlHeVGcusmmpKR4lU1JSREFQYhpu6JRJ5nblczvPdrtysrK8nqVqpOenj7jOdLT033WcQvkOhSLOpE6x5L6Yz7LT/83AO+LYbqHyPkPwnR/C/T7Op3cP4Px3q5QziGKonjw4EGxqKhIVCgUYlFRkXjw4EHJ8tPJ5XM+2zpsV3B1EuUcodSJx3YFen8LeWqfIAjpgiDMcf8dwFoA3QCOAHj+brHnAfwp1HMESq1W4wtf+AIEQYBOp4MgCPjCF74AtVod6VNLysrKum/Tz4mJiYCm3wW7jxRRvMrOzg7q+HSpqakQBMGz9kBKS0sL0tLSvI6lpaWhpaUlsIZS0pDT/Y3kSa/Xo7u7G6dOnUJ3d3dAU/QsFguWL1+OJ598EsuXL/ebLp2I5G82U/tyALx9N3mCCsBBURT/LAjCfwH4P4IgVAG4BODZ2TdTWnp6Oq5fv+517Pr16wE9iEWS1PRBf+6dDkiUqCoqKtDY2DjjcSlarRZpaWkQBAFpaWnQarWSWx64H3RMJhN6e3tRUFAAo9HINQo0E9nc3ygxWCwWGI1GtLa2elKmV1VVAQCvQURxLORAShTFfwL48gzHbwF4cjaNCtZsAhYiiq329vYZ905rb2+H2Wz2Wc+dAXNqBD6wjJh6vR56vR5nzpzB6tWrZ9dwSlhyur9RYjCZTGhtbYVOp/Ncf1pbW2EwGBhIEcWxSKQ/j5lgM3gRUez19/djcnLS6/M7OTkpuSdLdnY2RkdHYbfbIQgC7HY7RkdHYz4KTUQ0k97eXqxatcrr2KpVq9Db2xujFhFROCRUxDE9gxcRxRf3iFIgI0uNjY3IyMjArVu34HK5cOvWLWRkZMw4RZCIKNYKCgpw9uxZr2Nnz55FQUFBjFpEROGQUIEUEcUv9xQ996sUvV6Pffv2YdmyZVAoFFi2bBn27dvHKTJEJEtGoxFVVVVee09VVVXBaDTGumlENAuz3UeKIiQlJQVOpxMqleq+zH9EiSjYEWWudyKieOHu5DEYDJ5kNyaTiZ0/RHGOI1IyNTExAVEUAw6iuD6Mkg1TCRNRPAklZToRyRtHpBIE14dRMmEqYSIiIoq1hBq+CGaxOhHFL5PJBABYs2YNiouLsWbNGq/jvhgMBmg0Guh0Omg0GhgMhoi3lYiIiBJTQoxIufeguXexulKpjGWzAABf+cpX8MEHH0AURQiCgEcffRT/8z//E+tmEcW1np6e+45dvHhRso7BYEBzczN27tyJwsJCXLhwAfX19QAguV8VERER0UwSYkSqsLAQwP0jUu7jsZKfn49r167h1KlTOHnyJE6dOoVr164hPz/fZx2VSnXfiJogCFCppGNerpEiktbS0oKNGzeira0NZWVlaGtrw8aNG9HS0hLrphEREVEcSoin7o8++ghPPPEEUlNTAQCpqal44okn8NFHH/ms42v6XzinBTY0NMBms6GkpATFxcUoKSmBzWZDQ0ODzzpOpxOiKHoFRqIowul0+qyTlpbmtUYqLS0tbO+BKFE4HA788Y9/RE9PD1wuF3p6evDHP/4RDocj1k0jojjDZDdEBCRIIOVwONDV1QW73Q6r1Qq73Y6uri7JB6TCwkKUl5dDrVYDANRqNcrLy32OYq1YsSKo424ajQZ5eXlQKBTIy8uDRqPx+340Gg0WL14MhUKBxYsX+60zNjaGoqIiWCwWFBUVYWxszO85iJKRw+Hw6qRgEEVEwbJYLNi6dStGRkYAACMjI9i6davfYIrBF1HiSYhASq1Wo7m52etYc3OzJ0iaidFoxIcffoiOjg6cPHkSHR0d+PDDD31ujrdt2zakpKR4HUtJScG2bdt8nsNkMuHQoUO4ePEiTp06hYsXL+LQoUN+F8TPmzcPbW1t6OzsRFtbG+bNmydZHphaM6LX62dcO0JEn9NqtV6vUkpKSqBQKKDT6aBQKFBSUhLp5hGRzNXV1UGlUnndp1UqFerq6nzWcWcaNZvN6OzshNlshtFoZDBFFOcSIpCqrq5GfX09du3aBbvdjl27dqG+vh7V1dU+6+j1ephMJhgMBpSUlMBgMEhujmcymdDZ2QlRFGG1WiGKIjo7OyWDot7eXvT393v1QPX396O3t1fy/Tz88MMoLS1FcXExSktL8fDDD0uWn2lNFRHNzGazeb36UlJSgq6uLq8kNl1dXQymiJJcf38/9u/fD51OB5VKBZ1Oh/3796O/v99nHZPJhNbWVq86ra2tfjtWiUjeEiJrnzvj1vbt2+FwOKBWq1FTU+M3E5der4der8eZM2ewevVqybK9vb04fPgwSktLPeeorKyUDIoWLlyIuro6HDx40LPXTUVFBRYuXOizTnp6Ov7yl78gKysLExMT0Gq1+Mtf/oL09HSfdURR9GQudL8S0ex0dXUFdZyIksfp06fxk5/8BL29vSgoKMD69esly/f29mLVqlVex1atWuW3Y5WI5C0hAikAWLlyJaxWK3p7e/HFL34RK1euDOv/P2/ePLz55ptoaGjwpE6uq6vzO+0u2NEitVqNkZERDA4OAoDn1dc0RUEQIIqiJ3hyv3JUioiIKPyys7PR0NCAX/7yl57ngVdeeQXZ2dk+6xQUFOC1115De3u7J/gqLy9HQUFBFFtOROGWEIGUe+5xa2urZ1SmqqoKAHxO1QvWnTt3kJmZiUcffRSTk5N49NFHkZmZiTt37visc/XqVfz+97+HwWDwXDh37tyJH/zgBz7rDAwMYO7cucjKysLly5exePFiDA4OYmBgYMby7mlHgR4nouC4Oyvcr0SU3LRaLVwuF8xmMy5duoQlS5YgMzNTct2lTqfDzp0779vHrqamJootJ6JwS4g1UiaTCRUVFV7rnSoqKvzOPQ4mg47T6cQzzzzjtXbpmWeekUxLXlBQgPz8fHR3d+PUqVPo7u5Gfn6+3x6odevWeabypaenY926dZLlAWDDhg14++23sWHDBr9liZJZsHuuPf744zh8+DAef/zxSDaLiOLE1atXodfrce3aNYiiiGvXrkGv1+Pq1as+61itVtTX13vtY1dfXw+r1RrFlhNRuCXEiNSFCxcwMjKCtrY2z4hUZWUlLl265LNOsKNYKpUKhw8fRkdHh6f89773PcmNco1GI6qqqjznsFqtqKqq8hvgHTp06L4pA/7853/+J44ePYoHH3zQb1kiCty5c+dw7ty5WDeDiGRi4cKFaG9v93oe2LRpk+T6597eXnzwwQf4xS9+4VmXPTExgddffz2KLSeicJPtiJQgCBAEATqdzu96n9TUVBgMBq9sOAaDwbNB70yCzaDjnsb3wQcfwOl04oMPPvBM9/Ml2MyAwFTAptVqYTabsW7dOpjNZmi1WsmADQBu3LgBURRx48YNyXJEyW765tVERKG4d5qvv2m/BQUFOHv2rNexs2fPco0UUZyT7YiU+6K09NXj6HujTLLs+Pg4GhsbPeuXrFYrGhsbMT4+7rNOsBl0bt++jR/+8IdemQFffPFF7Nu3T7JtwWQGBKaSRaSlpQH4PGFEWlqaZ+M/IiIiip2Z1j83NDRIrn8OdYYKEcmbbAOpYBQWFqK8vNzrolZRUYH29nafddy9QzqdznNMqneooKAAzzzzDPbu3esJiqxWK959992wv5e0tDT893//N0RRxKVLl/DYY49xyh5RlGVnZ8+Y5EUqMxcAaDQaOBwOz9dqtRp2uz3s7SOi2Ji+/nn684DU6JJ7Jsr05xR/M1SISP5kO7UvGEajEQcPHvTaMfzgwYMwGo2SdaqqqmC1WuF0Oj29Q77qBFs+VHl5eXj//fdRU1ODo0ePoqamBu+//z7y8vLCeh4iknb79m2hLhNeAAAgAElEQVTU1tZ6th5Qq9Wora3F7du3fdZxB1FKpRIAoFQq4XA4oNFootJmIoq8UJ8H9Hq9V/IpBlFE8S8hRqRC6ekJtk6ovUkWiwUmk8lTx2g0StZ55513sGnTJrz77rvYt28fCgoKsGnTJvzxj3/0WUej0eDEiROeRa/r1q1jDzjRLIUyCu0eibp3X7fpI1REFN84ukREbgkRSAHBr0UKpU6w5UPZ38rhcODNN9+EVqv1nGd0dBT/8R//4fM8drsd3/ve93D79m3MmzePQRRRGHBNAxH5EsozBxElnoSY2idXwWYGBKamDzU3N3sda25u9kwvupd7v6nBwUGIoojBwUGv40QUmlCybhIREVHyYCAVQcFmBgSA6upq1NfXY9euXbDb7di1axfq6+tRXV09Y/kXXnghqONEFDiuaSAiIiJfEmZqnxwFmxkQAMxmMwB4pVmvqanxHL+X1WpFeXk5Ojo6POVLS0u5WzoRERERUQRxRCqCQs3sYzabYbfbYbVaYbfbfQZRAHDhwgW89957yM3NhUKhQG5uLt577z1cuHAh3G+HiIgoofiaNu/rOBHRdAykIkiv16OsrAylpaUoLi5GaWkpysrKAsr0t3z5cjz55JNYvnw5LBaLz7JKpRKTk5Noa2tDZ2cn2traPIktiIiIyDdf0+Z9HScimo5T+yLIYrHg+PHj6Ojo8Mrat3LlSp/BVLCZ/pxOJ1JSUryOpaSkwOl0hv8NERERJZD29nZotVpMTExgYmICKSkpSElJQXt7u+RsECIigCNSERVK1r5Q6nz961/3GvX6+te/Ltmu/Pz8oI4TUeBm6tggInnq7+/H6OgoJiYmAAATExMYHR1Ff39/jFtGRPGAgVQEhZK1L9g62dnZOHbsGHbs2IGOjg7s2LEDx44dQ3Z2ts9zNDQ04IEHHsDSpUsBCFi6dCkeeOABNDQ0BPzeiOh++fn50Gq1WLp0KQRh6rOl1WrZSUEkc+7p8JwWT0TBYCAVQe6sfdP5y9oXbB2tVovMzEyYzWasW7cOZrMZmZmZ0Gq1Ps+h1+uxe/fuqb2mBAHp6enYvXu35NqtFStWBHWcKBoUCoXXa6w1NDQgNTXV61hqaio7KYiIiBKQPJ4+ElQoWfuCrXP16lX89re/RXp6OoS7QdFvf/tbXL16VbJt7v1xltQdCWh/nPPnz98XNK1YsQLnz5+fsbwoikEdJwqFy+Xyeo216Z0UQoCdFEQUe5mZmV6vRESBYLKJCHI/PBkMBvT29qKgoAAmk0nyoSrYOgUFBcjPz0d3dzfOnDmD1atXw2q1So56hcodNC199Tj63ijzW94dNAVanihQK1aswN/+9rcZj8eaXq+HXq/3fB6JSP7mzp2LoaEhzJ07F4ODg7FuDhHFCY5IRZh75OfUqVMBjfwEWyfUvaqI4tk3v/nNoI4TEUnp6+uDy+VCX19frJtCRHFEdiNSX36tC0NjE17Hlr56HAAwNy0FH/772lg0S7ZCGfVKJGq1Gg6HY8bjlLj27NkDAKitrcW6detw4sQJNDU1Yc+ePX5TFufk5ODmzZt48MEHcePGjWg0l4hkSqVSzbhdiEolu8cjIpIh2Y1IDY1NoO+NMs+f33873fP3ewOseBDM5rqh0uv16OnpgcvlQk9PDyoqKsJ+jmhYu3bmINnXcQCw2+33BU1qtRp2uz2sbSN5EUURmzdvxt69e5GRkYG9e/di8+bNAa3Bu3nzJkRRxM2bN6PQUiKSs5qaGigUCuTk5AAQkJOTA4VCgZqamlg3jYjiALtcIijYzXXdBEHw+jqQh0NRFON+LVJnZydKSkpw8uRJiKIIQRBQXFyMzs5OyXruoCne3z8F53e/+x1+97vfBV3P/XmKVOKTUD6/RBQeSqUSk5OTMx6fiXsEu6WlBYCI27dv46WXXorbzXgNBgNaWlrgcDigVqtRXV3t970k0jUrkd4LxQfZjUglklA21wWmPviiKGJJ/bGkuwh0dnbC5XJhSf0xuFwuv0EUJS9BEPDrX/8ai37yR/z617++7wZ6r1BGPEORzJ9fonAKJftrbW0tBEHw2hdKEATU1tb6rGM2m2G327Gk/hjsdntcB1HNzc1e+0o2NzfDYDBI1kuka9b09xHv74XiAwOpCAplQ14i8m/t2rUQRRGvvPIKPvnN03jllVcgiqJkUNTZ2Ym1a9d6Ai5BELB27VoG60Qydu9Dvr+HY7PZjB/96EeeNU4qlQo/+tGP4jY4CkZLSwt27tyJl19+GRqNBi+//DJ27tx5d7SNiCKBgVQEhbIhLxH55w6Kpk/TCyQo4ognUexEa39BuY4wLV68GIIgQKfTQRAELF68OKz/v8PhuG9tV01NzYwJmYgoPBhIBSHYxBFMTU7JaMuWLUEdD/XhikER0cyiEbCEeo5gR5gSxeLFi/HJJ594Hfvkk0/CGkyp1WrPZuDuYC09PZ1ZbIkiiIFUgCwWC7Zu3YqRkREAwMjICLZu3SoZTOn1ephMJhgMBpSUlMBgMCRVanKSl1AefEKpYzabsWXLFs/NW61WY8uWLZK9wsn6cEUUKdH4TCX753Z6wOJvjea9QZS/46Gorq6GSqXyWjuqUqlQXV0dtnMQkTdm7QtQXV0dVCoV2traPBn4Nm3ahLq6OsnASK/XQ6/X48yZM1i9enX0Gkwx4844ONNxOdQBgstwGEods9kMs9nMTIpEcSCUawnJL1uuu7Nq+/btcDgc2K5Wo6amRhZTG+X6+8UsfzRbHJEKUH9/P/bv3++VgW///v3o7++PddMoCNEalQmlpzZadSg4wfQ6E8UrXksSQ7TWhwV7XQzl98v9f7vPEwmhZCwMpV3RuI9E6xyR/pnEGwZSEXbvLx1/8WKPAQsFgz93IooVuT4/ROO6KNe07KG0KxpBZCg/k9kGxJTkgVQwv6j5+fn4/ve/71V+7dq1yM/Pl6zHB3AiIiIKBZ8fklO0AhY5/n7F2wBEQq2RCnauazBrPxoaGrB161YsXboUfX2XsHTpEoyMjKChoWF2jSaipMd5+kRElIgi+Wwe6jlCrTOThBqRimRkrdfrsXv3bqSnpwN3U4ru3r2bGfiIaNY4XYKIiBKRXKeBhqtdCTUiFWnuDHxLXz2Obplk6SGi5MRRLCIiothKqBEpIqJkIce57RR+oWQNJSKi6GAgRUSUBJi2Nn4xaRERkTxxah/FrS+/1oWhsQmvY0tfPQ4AmJuWgg//fW0smkUkS6Es4CVKdPfeR9z3EID3ESLyj4FUEvJ144j1TSPYdg2NTXg9EJ45cwarV6/2qkskZ6F0Bsj180sUbqH8rs/mPjL9HjK9LhGRL7ILpOYUvIoV+1/1Prjf/W8AkNg9qcHeBELpTfN14/B104jWw16w7aLEEI2HpWj9DkejMyCUzwmDr+QRrZH6aHwGQ/ldT+b7CD/nRNEnu0BquPeNoB8s5HrxiEYwEY3etGg97EVDLB7aAwluk7ld0XhYitbvsFx/7+XaLgq/UH7Xo32vCrQOBYefc6Lok10gFQq59tDyoiY/0X5oDzS4TeZ2EVFs8TNLRBSahAikQjHb6W1ckEpERESBEEVxxmyZsc7AGK6ZDckwFTte2sXn0+hK2kAqWFyQSkRERKGSY+bMcM1sSIap2PHQrkCfT6MR4CULBlJEREQyxYcXIgq3aAR4yTJSxkCKiIhIprh+iQJ1X9bjJMp4TPITjZEyOWwhIstA6r5v8J8/f5NEbsmeKp+IiLwFG0z4Ki9VR66mZz0ONOhm8EVyEmzHkWvpTzHHx//lAgD8bdbn8CdigZQgCN8GsBuAEsDvRFF8I5B6984bjtRc4mhcbEO5QCXzRS3Y9x5Kqvxo/Ezk+rsSb+2K6DnYrpDO4e88ySDUe1u0xM3vVITaFWww4au8VB0582pzAJ3QwX6/Eul3JWHbFaF7uxyF8hwYbhEJpARBUALYA6AYQD+A/xIE4Ygoihcicb5QRONiG0rvULgualP/BoTjAyTXG2AoovEzkevvSry1K1LnYLuS7+EyXMJxb5vpQRcI34yLePidimS7ktn072+kOqET6XclEdsVyXs7O+RmFqkRqa8B+FgUxX8CgCAI/w+A7wCISCCVKJF1KKLxAeINkIgIwCzvbaE86IZyf+P0+OBEOrgNRbIs1Kf4wQ65mUUqkMoD8Mm0r/sBfH16AUEQXgTwIgDk5OTgzJkzPv8zqX8Dpn5Yv/92OgDAZrMhIyMDAPCDP49I1p3p4pme4vt8vi62wdaRKg98/m82m82rnK86vsqHUsdf+XC0K5zv3dcDQ7h/JnL9XUnkdkXqcxJKnUj+Dsu9XcFcV5KA33sbEPj9LZDvY7D3N3dZtx/8ecTrmGw+56HUiUC7pn9v7v1eATPX+dGpEYxMW9/uPl96CrDnyfT7ys/E389+aGxixp+7u52B/O4E+jkN17Uhma6Lcm1XJJ8D5dquaP1MfBJFMex/ADyNqbnj7q//DUCjr/KPPfaY6MuS+mM+/22mMlarNai6wZQLtXywbZnpz5d+3un3/53+3qXOGez3697jwdYJ9GcS7Hv3185wl5frOUKpE+/tCuVzEq7PVjh/h0P9bAX7OZnNZ17qugLgfTEC9xC5/gn23iZK3N9CuT/F+/1tNnXkdI5o/ExCubcHW0bqPOG+t4d6DrYr9HMkQ7si+TMJ9P4WqRGpKwAWTfs6/+4x8iMac5zlKpnfOwUn2N+VUJPYBLtwO5Tf4WCnYUXrcyLH6U4ywHsbERF5RCqQ+i8AjwiC8DCmbjL/N4CKYP4DQRA+//vOz3cEp/vxgYco/KIRsEQrS6n7//YIMFibfh0GeB1GGO5toQg2oCciouiISCAliqJTEIQtADoxlSK2TRTFniD/DwD3L1AjbxzFISJ/Qr1OiKLIa/A04bi3BYvXeCIi+YrYPlKiKJ4AcCJS/z/NTrA9nKFkgWIvKhElGt7biIjILWKBFMlXNNaXsBeViIhoiq905nJIZT6rjtUAO0mj0bHKzluKBQZSRERERBE0NDYRlb0V711fDkivbZxNx2qgnaSJlISH6F4MpIJgsVhgMplw6UIvlh8rgNFohF6vj3WziIiIKMndmxxm+vF4ShQTzSQ8RLPFQCpAFosFW7du/f/bu/vwqKp7X+Df32TyAgmQBKoFEowXFUOA2/Z4e1se7Tk5lEa0Rjy37TmTwMWDeJ6ASWlpb6Kkt0/71BSJ4Dnc8KIiEemRXLxWc1CLhELU2hf7hhBCiraHBBDlRRIwgbyv+8fsmc6E2a9kJpOZ7+d58mRmZ61Za2fN7DW/vdZeG+fOnQMANDc3o6jIu1gTgykiIiIiovgSM4GUk7mxBQUF2LdvH5RScFUL5s+fj71794ZMW15ejosXLwZtS0pKQnl5OQMpIiIiolGG11VFl3G5D2P2cw//dcNzvu0AEJ2jkjERSDmZG1tQUICGhgb/c6UUGhoaUFBQEDKYOnXqFAAgIyMD7e3t/t++7XqmTZuGkydPAvDOV87OzsaJEycs7RcRERERDT9eVxV9Pml5LCLXEg6nmAiknAgMoqxs92lvbw/6bSQwiPI5efIkpk2bxmBqBNm9GNdJnkiUAQApKSno6enx50lOTkZ3d7dhHiIaXaL1mEUUb5zcCoZiW9wGUpEwNIgy207h5+RiXLt5IlEGEBxE+fT09CAlJUU3mIpUgEdE+nyfKbsBztDtI3nMGpqPxwaKdU4XweD0wdjGQIpolBoaRJltj1SANzQfz4YTBVNKBU1bGY2iOfji8YeiBacPxj4GUjb5Ogk7y4m6XC5/nsHBwTDXMP6wE4wukTobnpaWhq6uLm/atUBqaio6Ozst143vFaLIutaTOeEYwYuVJcMptgzHTZLN8tDwYCBlk+/AaucAm5ubi+9973t49NFH0dzcHK6qxSV2gvEpMIjy6erqQlpamm4wxfcK0egSrZ9ZJyuL2c2jl96sHBr9InGTZF9aP4tTDiMR4F1TGRbyDPfKgAykbHK5XBgcHPT/tqK5uZlLpFvEEQOyYmgQZbY9UFpaGsbc9yNcefl/m45gRTM719kEpvfl4eeKyJlPWh4Lud3oy57dPHrpzcohssJJ8BWJAM9pGUNPuhj1b01LmmznMcJAyiZf8BTOKXpz5sxBU5PW0GuB2bNn4/Dhw2ErL1pE69lHii2dnZ3o/Mm3LaUdjsU5wvXetXudja8eo/3aHKKRFq1fQomikd2Tfk446d+G61pV1zXljjIigra1X4WI6H4pj3aBQZRPU1MT5syZM0I1IopPRoG9EaUUlFJobGy03GH4jlm+4xcREVEsCOwPrfSJQ/vDaO8TYyqQsttYTiQkJAT9Hm6+IGr58uV45ZVXsHz58qDtoRQUFMDlcqFt7VfhcrlQUFAQlroRUXg4Cb6IiIhizdD+MNr7xJgKpOzIzs62tR0Axo8fj+zsbLhcLmRnZ2P8+PGm5dx5551ITk4G4L1Z6p133mmaZ8aMGaitrcU999yD2tpazJgxQzdtQUEBGhoaghbBaGhoYDBFRERERBRGcRtInThx4qqgKTs7GydOnNDNM336dKSmpgLwLrU8ffp003Jef/11pKenAwDS09Px+uuvm+Y5duwY0tPTISJIT0/HsWPHdNM2NDTY2k5E9nCkiIiIiEKJ20AK8AZTgV+SjIKo5ORkHDx4ENOnT8dPf/pTTJ8+HQcPHvSPNoXidnvX8rh48WLQb992I2fOnIFSCmfOnLGzS0RkQXl5ueW0SUlJOHz4MJKSksJYIyKi2DXarnshsoqr9ln07LPPYsmSJdi9ezd2794NAEhMTMSzzz6rm6e/vx85OTlobW0FAHR3dwc9Hy4ightuuAEnTpzAtGnT0NbWxrPnRAaqq6stp+3r68PKlSvDWBsiopFzLTc9DsdNkilyeBuNaxfXI1J2eDwePPfcc8jLy4PL5UJeXh6ee+450/tDPf3000GjXk8//bRpWZMmTfrrm1sEkyZNMkyvlML58+cxODiI8+fP841NNAycrtpHRDRa2D3ORfK4mJKSEjSKlZKSYpieo1722V3UgQsjXY2BlA0ejwdHjhzB/v37ceTIEdMgKisrC0uWLEFjYyP6+/vR2NiIJUuWICsryzDfxx9/jHXr1mHPnj1Yt24dPv74Y9O6+W4sGs4bjJaVlSElJQVta7+KlJQUlJWVha0souFmd4GZwcHBqzpiEQnrPeSI9ASeXIs3KSkp2Lhxo+kXaYodKSkp6OnpCdrW09Oj+x7giS8aKZzaF0bV1dVYuXIlli5d6p9219/fj/Xr1+vmcbvdcLlcePjhh9HX14fExEQkJiYO+5e3srIybN261Xtg+rdkPPjgg6ipqTFMv3HjRv/znp4e/3O9fGlpaejq6gLgHQJOTU0Na6BHZMT3GTx58qR/m9kCM77PHW9iSyMtcGVWq1wuFwYHB/2/zSQkJGBgYMD/O1p0d3ejtLR0pKtBETQ0iDLbHms4hW704IhUGHk8HmzYsCFopb8NGzYYjmSVlJSgv78fmZmZAIDMzEz09/ejpKREN09iYqLh86HKysqwadMmf0c5MDCATZs2GY4wBQZRVrYHBlE+XV1dSEtLM6wbUTjZWWCGaDQLHD0NNboaiu+WHlZu7eHjcrmCfhPRteMUutGDR74wszsdsKamBitWrEBHRwcAoKOjAytWrNAd9cnMzERfX1/Qtr6+Pn8gFsrmzZuhlEJ/fz8A76IYSils3rzZzq4ZGhpEmW2n+KV3ptnsDLTL5cL1118PALj++uv5RY5iVlJSEnJyciAiyMnJsbSCpFIqaDqglS9j7e3tQb+tCAzWiGjk8PqwkcFvHlGopqYG3d3daGxsRHd3t+GUO98wd0ZGRtBvo+HvwcFBrFmzJuhsx5o1a9gR0oioqalBaWlp0I2rS0tLDd/3eXl5KCwsDDrhUFhYiLy8vIjUmSiSent7sWDBAuzevRsLFixAb2+vpXxOpgPGCt+1NLyuiuKF3YUjaHgwkBrlurq64PF4MGXKFLhcLkyZMgUej4cjPzTi7Ez5sXPyAAAqKytx6NAh7NmzB/v27cOePXtw6NAhVFZWDkvdiaJJWloatmzZgnvuuQdbtmyxPEXa7rS7jIwMuFwu/wm50WzChAlBv6PBnDlzgkYN5syZM9JVIqJrxEAqBixevDho+uDixYsN0yckJGD16tV44okn0N3djSeeeAKrV69GQkJChGpM8SCcU348Hg+qqqpQVlaGgoIClJWVoaqqynTqLNFok5ycjM7OTowbNw4ulwvjxo1DZ2en4c3gAfvXSOXk5KCjowODg4Po6OhATk6Opfo5uUZq/fr12LNnj+HCS4EKCwvx8ssvo7Cw0FL6pKQkXLhwAQBw4cIFS1Mhh87qGG5z5sxBU1NT0HTLpqYmBlNEoxxX7Rvl3G43Fi1ahBdffBEDAwNobGzEokWL4HbrN+3y5cuxadMmlJeX+1do8m0nCpSamhpydNO3gMpI8ng88Hg8XFGPYppvmvbly5cxODiIy5cvB23Xo5TC8uXLcdddd+FnP/sZtmzZYpi+tbUV69evx8yZM3H06FF85zvfsVQ/J8uyf/e73w26hsvotZVS2L17N3bv3n1VmXp6e3vx6U9/GmfPnsXEiRPx0UcfmdbJyfVhdjQ1NQG4erqlbzuNjLq6OlRVVaHtaAtmvZqLyspKnpAjWxhIjXIlJSXYvHkzioqKcPbsWVx33XX+BSr0+KZNbd26FQMDA3C73abLn1N82rp1K5YsWRK0oEliYiK2bt2qm8cXfA1dejkagi+i0WjChAnIyMhAW1sbsrOz0d7ejosXLxrmcbvdeOaZZ7BlyxYkJibC7Xb7FxjSYzV4CjRp0iScOXPG/9sKq9duzZw5EzfffDP27NmDnp4eJCcnY8GCBXj//fd188yePRtNTU04c+YMlFL+Os2ePTtk+q985StoaGgIud2MP4hcG7xfRuwuSU/hU1dXh6KiIv/z5uZm//RwBlNkFaf2jXK+Vf7a29sxODiI9vZ2w1X+AvPZuSaF4ld6ejpycnLgcrmQk5OD9PR0w/QZGRkYM2aMf6QzISEBY8aMiYnrLohGwh133IHjx4/jwIEDOH78OO644w7TPAMDA0G30TC6L9S13Mz03LlzQb+NuN3ukDe51ptB4eRayMOHD2P27NlBwdrs2bNx+PDhkOn37t17VZA1e/Zs7N2713R/nFzc//jjj2PPnj14/PHHLaUna/RWKjZawbiqqgoHDhwIasdt27ahqqoqXNWkGMRAKgYwKIpvVq9RcNrR7Nq1C8ePH8f+/ftx/Phx7Nq1y7CjOX36NJ566inccsstcLlcuOWWW/DUU0/h9OnTFvaGiIZ69dVXkZmZifz8fGRmZuLVV181TJ+VlYWUlJSg64RSUlKQlZUVMn1CQgLS0tKCllhPS0szvG7Wd9wYei2k0fFkYGDgqoBDKaUb5Dm9FvLw4cNBX471gijAOyrR2dmJAwcOYN++fThw4AA6OztRV1dnWIZTb775Jrq7u/Hmm2+G5fXj1caNGzFu3Dj/fTQTExMxbtw43XtdAkBLSwtuv/32oG233347Wlpahr1+XJo8djGQIkuysrKu6lQTEhJ0O+Z45uS+SE7OCOfl5eG2224LOvN622236S4BHqmOJjc3F1lZWUELoGRlZSE3N1c3DxGF5gtMhl7DYxSwVFdXIy0tDVOnToWIYOrUqUhLS0N1dXXI9P39/UhLS0NtbS0aGhpQW1uLtLQ0w6mARUVFEJGgkWcRCZoqNZTvZE9gnsDtodi9F6NdVVVV2LZtG/Lz8+F2u5Gfnx/WUYndu3fjvvvuC7rmayTpTbnW2663yInR4idO+sSsrKyrFglJSkrS/c7h8XhCnsAzer/k5ubi7bffDtr29ttvm/ZVvmDIFxhZwaXJYxcDKbKkuroamZmZQWcsMzMzdTvmSHG73VdNCwm1zWfnzp22tvtez872uXPnYvz48UEBy/jx4zF37lzdMpRSSE5ODsqTnJxseMCtrKxEW1sbbrjhBogIbrjhBrS1telOe4lUR1NZWYkHHngAjY2N6O/vR2NjIx544AEuTU7kwNixY/3Ta33H3vT0dIwdO1Y3j8fjwYYNG5CamgoRQWpqKjZs2GD4Wb///vuDRn7uv/9+w3o1NjZi9erVuPXWW+FyuXDrrbdi9erVaGxs1M2jN/JkNO0w3CI1KuH7wj10BsFwjk643W6kpqYGvVdSU1MNF5/q7Oy8KmhKTU1FZ2dnyPQ33XTTVffmSklJwU033aRbhpN7BVZXV2PChAlB+zJhwgTD7xx2g26nfZUvGPIFRhTfGEiRJXY7Zr0Le/W2OzUwMICMjIygg21GRobhVJFQB3SjA25/fz9qa2uRl5cHl8uFvLw81NbW6p6t9U1FCQxYfFNSjCQnJ2Pq1KlwuVyYOnWq6fLGAPDJJ5+gtbUVSim0trbik08+Mc1jh5OOhkuTEw2f06dPw+Px4MMPP4RSCh9++CE8Hs+wTpXNysrC9u3bUVNTg71796Kmpgbbt283nHHQ0tKCGTNmBG2bMWOGpQDEd3weyQDKx+mohF0PPfRQyCXpH3rooWErY2Bg4KoAe+zYsab/587OzqDAQC+IArztfunSpaD0ly5dMm13u5cgODkZYJfH48Hdd9+NBQsWYP78+ViwYAHuvvtu9lVkC1ftI8vsLDf9yCOPoLi4OOhsjYjgkUce0c3jW+o21HY9M2fOxMKFC1FfX+8/2BYXF6O+vj5k+rq6OuzatQuTJ09GW1sbJk+ejF27dmHu3Lm6B8/k5GS0t7fjyJEj/n1/4okndAOdo0eP4vLly9i2bZt/efkHHngAra2tuvsBeJfsNXo+VGlpKfr6+oKWLC4vL9cNDOvq6lBZWXlVvQD9FYp828vKytDS0oLc3FxLQRGXJicaHlOmTMH27duDvoBv374dU6ZM0c1j97NeXR2kdQcAABa2SURBVF2NkpISFBQUoK+vD4mJiRgzZgyefPJJw3pVVFTg+eef95dRXFxsWC8fO8uyO+Fb0tp3zDJa0tp3ssj3v/KdLBruqX2Bq+X6ViAc7tVy7faHTvgCz/z8fP+2cASeQPj7kbq6Orz22mvYs2dP0OfE6PsA0VAckaKwKC0thcvlCrrxosvlMpwTPX/+fFvbAW8nuHPnzqAzqTt37tQdMSkvL0dCQkLQtQAJCQkoLy/XLePBBx9ERUVF0A2MKyoq8OCDD4ZMn5SUhNLS0qA596WlpaY3hezu7kZraysGBwfR2tqK7u5uw/QXLlzAmjVrsGrVKqSkpGDVqlVYs2aN/wLzoZxeCxDuaxSISF97ezuuXLmCZcuW4ZVXXsGyZctw5coVw/sdOfmsOxkRD7VwhBUvvfQSCgsL8dJLL5mmraurw6xZszBv3jzMmjXLdBGIuro6rFy5El1dXVBKoaurCytXrtTNF8kR9HAvDGW3P3RaRqxM3Y709XEUmzgiRWFx4cIFVFdXY9WqVXjjjTewatUqDAwMGAYsH3zwARYuXGjrniF2R0xOnTqFhoYG5Ofn+89y7dixw/CeIb7ObvXq1f56lZSU6HaCvb29qKmpwWc/+1n/Gc6amhrDESbfPUUSEhL8Z8YGBgZMV+KbNWuW4fNAkVyhiIiGR1dXFzweD9566y089dRTyM3NhcfjMQwo7H7WfatzBh4XGxsbUVZWpnssPX36NLZv3x507K2urja9tio5ORkXLlyAUgoXLlxAcnKy7s2FnYyiB54s8+UpKipCeXm54ch7LIygO51BEG1lRAr7RBoOHJGisDl//nzQmcTz588bpm9pacELL7wQdMbuhRdeMD2oRWLExM6ZxJkzZ6K4uDjoDGdxcTFmzpypm2dwcBAZGRnYt2+f/ycjI8Pwho1utxvFxcVBZwaLi4t1LyyO1LUARDS8Fi9eHHSMW7x4sWF6u5/1SK3OmZCQgJ6eHkycOBEulwsTJ05ET0+P7jLrTkYMTp06hR07dgTl2bFjB06dOqWbJ1rV1dXZXjY7Ev1hrMxSYJ9Iw4GBFIWFy+XCunXrsHTpUrz22mtYunQp1q1bZzjCEomDWlZWFpYsWRIUfCxZsmRYl3F3Or1i2bJlQcHXsmXLDNOXlJTg4sWL8Hg8mD9/PjweDy5evIiSkhLdesXKlAyieOF2u7Fo0aKgz+2iRYsMV2Kz+1mP1Oqcy5cvh4jg3LlzGBwcxLlz5yAiWL58ecj08Txi4BuNC7y/1Y033hi2+1vFI/aJNBw4tY/CIj09He3t7aiursbZs2dx3XXXQSmFjIwM3TxOL/q1c2FxdXU1Vq5ciaVLl+LEiROYNm0a+vv7sX79+mva30Aejwe/+tWvsGDBgqCLio3O2rndbmzbtg0vvviifzrK1772NcMvSzU1NXjvvfewb98+AMDZs2cxf/583dGyWJqSQRQvSkpKsGnTJsyfP99/bBgcHDRc7c3uZ93JsdfJ8SRwwYWBgQG43W7DBRdyc3Pxwx/+EPX19f4yFi5caBjgZWVl4Rvf+AbS09P9x/iOjo5Rd8/DwNE435TDbdu2GU63JHvYJ9JwYCBFYdHR0YF58+Zh//79UErh7NmzmDdvHg4cOKCbx8lBze4cet823xeE1NRU/PjHPx7WA6eTlYBKSkqwefNmeDwef+DZ0dGBFStWGJbz/vvvY//+/UHl1NXVxfy1AETxYu7cudixYweuXLniv24yNTXV8L50gL3PeiRX56ypqUFNTY2lPPn5+Vi7di3Wrl3rX5m0oqJCd9QdABYuXIjNmzf778N35coVXLp0CYsWLbJUv3Cyc9IvnkfjIol9Il0rTu2jsJgyZQqam5uxf/9+7Nu3D/v370dzc7Pp0rh2515XVVWhqKgoaEpcUVGR6ZnUcM7vdjKvv6amBitWrEBHRweUUv4gyuhaLCf7TkSjS1VVFerr69Hb24vGxkb09vaivr5+2D/n0XjdS2NjIyoqKlBbW4u7774btbW1qKioMLzpb2NjIwoLC4OOpYWFhYZ5IsF30i9wyndlZaXuVD2nU93trnJIRNeGI1JkmZ2zaYDzpXHtcHrPpnByeibRzplaIDr3nYiGV0tLC06dOoVZs2b5j70VFRVxMTLR0tKCgwcP4tFHH/UfF/v6+rBmzRrdPEePHkVXV1fQjIClS5eira0tgjW/mt2pek6mWzpZ5ZCIrg1HpMgSu2fTTp8+jerq6qDRkurqapw+fXpY6+Xknk3hPmMXqZWAnN6viohGjylTpqC8vDzo2FteXm7pxrd2RONIhpNjaVJSEsrKyoKOi2VlZSN+XLR7gs3J/a14XySiyOOIFFli92xa4NK4gfclGe5gwu49myJxxs7pohl2OblfFRGNPkOXvbayDLYd0TqS4eRY2tvbi40bNwYdFzdu3Djix0VfUJifn+/fZhYU2r1+h9dVEUUeAymyxO4BOlLBxMyZM7Fw4cKgi6SLi4tRX18fMn0kVkKK1EpAdvediEafUDe+Xbt2remNb+2I1hXinBxLQx0Xi4qKRvy4GIk+0UmwRkTXhoEUWWL3AB2pYKKysjLkmVS9zilSZ+wisRKQ3X0notEnEqP70TySYfdYGq3HxUj0iZE6gUlEf8VAiixxep+RcAcTdjunWDpjx3tgEMU+jmTYE83HxXD3idG870SxioEUWRLNB2g7nVOsnbHjPTCIYhtHMuyL5+NiPO870UhgIEWWxcIBOpoDQiKiUDiSQUQUnRhIUdyJhYCQiGg48bhIRGQf7yNFRERERERkEwMpIiIiIiIimxhIERERERER2cRAioiIiIiIyCYGUkRERERERDYxkCIiIiIiIrKJgRQREREREZFNDKSIiIiIiIhsYiBFRERERERkEwMpIiIiIiIimxhIERERERER2cRAioiIiIiIyCZRSo10HSAi5wC06fx5EoDzNl7ObvpoLcNJHtYr+uoVz/vuJA/rFX31Mkp/g1LqUzbLjysG/Vs8v6ec5ImVMpzkYb1Yr2gqw0me0Vgva/2bUiqqfwD8Ppzpo7UM1is26hXP+856xUa9nJTBn+hou0i1d6zUK573nfWKjXrF875Hql5Dfzi1j4iIiIiIyCYGUkRERERERDaNhkDq6TCnj9YynORhveKzDCd5WK/oK8NJnmgtg8zF83vKSZ5YKcNJHtYr+spwkidWynCSJ5bqFSQqFpsgIiIiIiIaTUbDiBQREREREVFUYSBFRERERERkU9QGUiJyp4gcE5E/i8jDFtLXishZETli8fWzRaRRRI6KSLOIrLSQJ0VEfisih7Q8P7RYVoKIHBSRVy2mbxWRJhF5V0R+bzFPuoi8KCJ/EpEWEfmiSfoZ2uv7fi6JyLdM8nxb2+8jIlInIikW6rVSS9+s9/qh2k5EMkVkn4i8r/3OMEn/da2MQRG5zWIZj2v/r8Mi8rKIpFvI8yMt/bsi0iAiU4zSB/ztOyKiRGSShTJ+ICIfBLTNXWZ5tO1l2v40i0i1SRm7Al6/VUTetVCvz4jIb3zvSxH5vEn6/yoiv9bey6+IyPghZYT8DOq1vUF63bY3yKPb9gZ5Qra9XnqjtjcoQ7ftjcoJ1fYGZei2vUEe3bYn+4T9W9j6N3HQt2n52L+NcP+mV0ao45tJGezfRlH/ZlSGXtsblBH5/u1a108Pxw+ABAB/AfBfACQBOARgpkmeLwH4HIAjFsuYDOBz2uNxAN6zUIYASNMeJwJ4B8AXLJS1CsBOAK9arFsrgEk2/2fPAVimPU4CkG7z//0RvDcf00szFcBxAGO05y8AuN/kdWcBOAJgLAA3gJ8DuMlK2wGoBvCw9vhhAGtN0ucCmAHgDQC3WSzjKwDc2uO1gWUY5Bkf8PibAJ40ew8CyAawF96bck6yUMYPAHzXznsdQL72/03Wnl9n9bMBYD2A71soowHAAu3xXQDeMEn/OwB/qz1eCuBHQ8oI+RnUa3uD9Lptb5BHt+0N8oRse730Rm1vUIZu2xvkCdn2RvXSa3uDMnTbnj/2fsD+rRUR6t9goW/T0rF/UyPfv+mk1+3brHw2wP4t6vs3g/RG32uipn+L1hGpzwP4s1LqP5VSvQD+L4B7jTIopd4CcMFqAUqpD5VSf9QefwKgBd6DqVEepZTq1J4maj/KKI+IZAG4G8AzVutml4hMgPeDvk2rZ69SqsPGS8wD8BelVJtJOjeAMSLihrfzOG2SPhfAO0qpy0qpfgBvAviHoYl02u5eeDtPaL8XGqVXSrUopY7pVUQnT4NWLwD4DYAsC3kuBTxNRUD7G7wH/xVAOUK8V+y+bw3yLAfwmFKqR0tz1koZIiIAvgGgzkIZCoDvrNsEBLS/TvpbALylPd4H4H8MKUPvMxiy7fXSG7W9QR7dtjfIE7LtTY4lIdve4fFHL0/ItjcrI1TbG+TRbXuyjf2bDdfYv1nt2wD2byPev9nt28zKYP8GYBT0b3b7NitlRLJ/i9ZAaiqAkwHPT8GkE7gWIpID4LPwnoEzS5ugDRWeBbBPKWWW59/gfaMN2qiSAtAgIn8QkX+xkP5GAOcAPCveKRbPiEiqjfL+CUMONFdVSKkPAKwDcALAhwAuKqUaTF73CIA7RGSiiIyFN9LPtlin65VSH2qPPwJwvcV8Ti0FsMdKQhGpEpGTAIoBfN8k7b0APlBKHbJZn1JtmL1WAqZ9GLgF3v/1OyLypoj8N4vl3AHgjFLqfQtpvwXgcW3f1wF4xCR9M/76BfHrMGj7IZ9B07a385m1kEe37YfmMWv7wPRW2z5EvUzbfkge07bX2XfDth+Sx27bkz72b5Hr30z7NoD9W6Ao7N+c9m0A+zdglPVvdvs2nTKACPZv0RpIRYyIpAH4KYBvDYnIQ1JKDSilPgNvhP95EZll8NpfBXBWKfUHm9W6XSn1OQALADwkIl8ySe+Gd9h5i1LqswC64B0yNiUiSQAKAfw/k3QZ8B40bgQwBUCqiCwyyqOUaoF3WLkBwOsA3gUwYKVeQ15HweTM6LUQkUoA/QCet1ifSqVUtpa+1OB1xwJYDZPOKIQtAKYD+Ay8nfp6C3ncADIBfAHA/wLwgnZGxowHFr5oaJYD+La279+GdobYwFIAK0TkD/AOo/eGSmT0GQzV9nY/s0Z5jNo+VB6jtg9Mr72maduHKMO07UPkMWx7g/+XbtuHyGO37SkKxHP/ZrVv09Kyf/trfaKtf3PatwHs30ZV/2a3bzPad0Syf1M25gFG6gfAFwHsDXj+CIBHLOTLgcU55Fr6RHjnd65yWM/vw/haljXwnm1shffMw2UA/26zjB8YlaGl+TSA1oDndwB4zeLr3wugwUK6rwPYFvD8fwLYbHNffgxghZW2A3AMwGTt8WQAx6y0NXTmkOvlAXA/gF8DGGv3PQVgWojX86cHMBveM7ut2k8/vGc8P22jDL39HPr/eh1AfsDzvwD4lMm+uwGcAZBlsU0uAv57zwmASzb24xYAvw2x/arPoFHbh0pv1vZ6eYza3qicUG0/NL2VtrdQRqg2C/X/0m17g33XbXudMgzbnj/Wf8D+LfA1fmBUhpbGUf8Gi32blpb929V/G5H+LcT/yrBvM3gd9m+jqH/T+V+Zfa+Jiv4tWkekfgfgZhG5UTur9E8Adg9nAVpUuw1Ai1LqCYt5PiXa6iciMgbAfAB/0kuvlHpEKZWllMqBdx8OKKUMz3KJSKqIjPM9hveiQcOVmpRSHwE4KSIztE3zABy1sk+wfsbmBIAviMhY7X83D975pYZE5Drt9zR454/vtFiv3QCWaI+XAPgPi/ksE5E74Z2WUqiUumwxz80BT++Fcfs3KaWuU0rlaO+BU/Be6PiRSRmTA57eB5P219TDe2EmROQWeC/IPm+S58sA/qSUOmXh9QHvvOG/1R7/PQDD6RIBbe8C8D0ATw75u95nMGTbO/zMhsxj1PYGeUK2faj0Zm1vUIZu2xvsf8i2N/l/hWx7gzy22p4MsX9DRPo3O6MR7N8Qtf2bk74NYP82avo3u32bhf9XZPs3O1FXJH/gnW/8HrwRaKWF9HXwDhX2wduoD5ikvx3eIdXD8A7JvwvgLpM8cwAc1PIcwZCVYEzy/h0srGoE70pOh7SfZiv7ruX7DIDfa3WrB5BhIU8qgI8BTLBYxg/h/XAdAfATaCupmOT5Bbyd3iEA86y2HYCJAPZrb+ifA8g0SX+f9rgH3jMRey2U8Wd4r1Xwtf+TFvL8VNv/wwBegfciTUvvQYRYrUqnjJ8AaNLK2A3t7JVJniQA/67V7Y8A/t6sXgC2Ayix0Sa3A/iD1pbvAPgbk/Qr4f0MvwfgMWhnfMw+g3ptb5Bet+0N8ui2vUGekG2vl96o7Q3K0G17gzwh296oXnptb1CGbtvzx/4P2L+FtX+Dzb5Ny8P+bYT7N530un2bUb3A/m3U9G8G6Y2+10RN/+YbyiIiIiIiIiKLonVqHxERERERUdRiIEVERERERGQTAykiIiIiIiKbGEgRERERERHZxECKiIiIiIjIJgZSFFdEZHWYX79QRB62mWe7iHxtGOtwo4i8IyJ/FpFd2r1qiIgohsVJ/1aq9W1KRCYN1+sSOcVAiuJNWDsapdRupdRj4SzDgrUA/lUpdROAdnjveUFERLEtHvq3X8J7w9W2Ea4HEQAGUhTDRKReRP4gIs0i8i8i8hiAMSLyrog8r6VZJSJHtJ9vadtyRORP2pm090TkeRH5soj8UkTeF5HPG5R5v4hs1B5vF5H/IyK/EpH/9J2VE6+NInJMRH4O4LqA/H8jIm9q9d4rIpNFxC0ivxORv9PSrBGRKp3yBd47c7+obXoOwMJr/FcSEVEUicf+DQCUUgeVUq3X/h8kGh7uka4AURgtVUpdEJExAH4H4G8BlCqlPgN4D+oA/hnAfwcgAN4RkTfhHcW5CcDXASzV8hbBe/frQnjP+lkNTiZr+W6F907eL8J7p/IZAGYCuB7AUQC1IpIIoAbAvUqpcyLyjwCqlFJLReR+AC+KSBmAO7U6hzIRQIdSql97fgrAVIt1JSKi0SEe+zeiqMNAimLZN0XkPu1xNoCbh/z9dgAvK6W6AEBEXgJwB7wdwnGlVJO2vRnAfqWUEpEmADk26lCvlBoEcFRErte2fQlAnVJqAMBpETmgbZ8BYBaAfd6BJSQA+BAAlFLNIvITAK8C+KJSqtdGHYiIKLawfyOKAgykKCZp0wS+DO9B+bKIvAEgxcZL9AQ8Hgx4Pgh7n5vA1xGTtAKgWSn1RZ2/zwbQgYCpEiF8DCBdRNzaqFQWgA+sVpaIiKJbHPdvRFGH10hRrJoAoF3rZG4F8AVte582xQAAfgFgoYiMFZFUeKck/CICdXsLwD+KSIKITAaQr20/BuBTIvJFABCRRBHJ0x7/A4BMeM/21YhIeqgXVkopAI0AfKskLQHwH2HbEyIiirS47N+IohEDKYpVrwNwi0gLgMcA/Ebb/jSAwyLyvFLqjwC2A/gtgHcAPKOUOhiBur0M4H14547vAPBrANCmM3wNwFoROQTgXQBzxbvE62MAliml3gOwEcAGg9evALBKRP4M7zVT28K1I0REFHFx27+JyDdF5BS8sy0Oi8gz4dwZIjPiPYFNREREREREVnFEioiIiIiIyCYuNkHkgIj8M4CVQzb/Uin1UATr8DKAG4dsrlBK7Y1UHYiIKLawfyOyjlP7iIiIiIiIbOLUPiIiIiIiIpsYSBEREREREdnEQIqIiIiIiMgmBlJEREREREQ2MZAiIiIiIiKy6f8DpZGl1rU4BRUAAAAASUVORK5CYII=\n"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"df_train['index_0_gt_1'] = df_train['atom_index_0'] > df_train['atom_index_1']\ndf_test['index_0_gt_1'] = df_test['atom_index_0'] > df_test['atom_index_1']","execution_count":73,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"df_train.hist('scalar_coupling_constant', by='index_0_gt_1', figsize=(14, 7), bins=100)\nplt.suptitle('Scalar Couplig Constant distribution if atom_index_0 > atom_index_1')\nplt.show()","execution_count":74,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1008x504 with 2 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"Bizzarrely the 2JHH, and 3JHH types have all been selected such that `atom_index_1` > `atom_index_0` and for *nearly* all other types it is the opposite."},{"metadata":{"trusted":true},"cell_type":"code","source":"df_train.pivot_table(index='type', columns='index_0_gt_1', aggfunc='count', values='id', fill_value=0)","execution_count":75,"outputs":[{"output_type":"execute_result","execution_count":75,"data":{"text/plain":"index_0_gt_1   False    True \ntype                         \n1JHC               0   709416\n1JHN               1    43362\n2JHC             322  1140352\n2JHH          378036        0\n2JHN               5   119248\n3JHC             523  1509856\n3JHH          590611        0\n3JHN             104   166311","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th>index_0_gt_1</th>\n      <th>False</th>\n      <th>True</th>\n    </tr>\n    <tr>\n      <th>type</th>\n      <th></th>\n      <th></th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>1JHC</th>\n      <td>0</td>\n      <td>709416</td>\n    </tr>\n    <tr>\n      <th>1JHN</th>\n      <td>1</td>\n      <td>43362</td>\n    </tr>\n    <tr>\n      <th>2JHC</th>\n      <td>322</td>\n      <td>1140352</td>\n    </tr>\n    <tr>\n      <th>2JHH</th>\n      <td>378036</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <th>2JHN</th>\n      <td>5</td>\n      <td>119248</td>\n    </tr>\n    <tr>\n      <th>3JHC</th>\n      <td>523</td>\n      <td>1509856</td>\n    </tr>\n    <tr>\n      <th>3JHH</th>\n      <td>590611</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <th>3JHN</th>\n      <td>104</td>\n      <td>166311</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"df_test.pivot_table(index='type', columns='index_0_gt_1', aggfunc='count', values='id', fill_value=0)","execution_count":76,"outputs":[{"output_type":"execute_result","execution_count":76,"data":{"text/plain":"index_0_gt_1   False   True \ntype                        \n1JHC               0  380609\n1JHN               0   24195\n2JHC             159  612979\n2JHH          203126       0\n2JHN               0   64424\n3JHC             228  811771\n3JHH          317435       0\n3JHN              54   90562","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th>index_0_gt_1</th>\n      <th>False</th>\n      <th>True</th>\n    </tr>\n    <tr>\n      <th>type</th>\n      <th></th>\n      <th></th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>1JHC</th>\n      <td>0</td>\n      <td>380609</td>\n    </tr>\n    <tr>\n      <th>1JHN</th>\n      <td>0</td>\n      <td>24195</td>\n    </tr>\n    <tr>\n      <th>2JHC</th>\n      <td>159</td>\n      <td>612979</td>\n    </tr>\n    <tr>\n      <th>2JHH</th>\n      <td>203126</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <th>2JHN</th>\n      <td>0</td>\n      <td>64424</td>\n    </tr>\n    <tr>\n      <th>3JHC</th>\n      <td>228</td>\n      <td>811771</td>\n    </tr>\n    <tr>\n      <th>3JHH</th>\n      <td>317435</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <th>3JHN</th>\n      <td>54</td>\n      <td>90562</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"fig, axs = plt.subplots(8, 2, figsize=(6, 24), sharex=True)\nfor t_idx, t in enumerate(df_train['type'].unique()):\n    axs[t_idx, 0].set_ylabel(t, rotation=0, size='large')\n    for tf_idx, tf in enumerate([True, False]):\n        df_train[np.logical_and(\n            df_train['type'] == t,\n            df_train['index_0_gt_1'] == tf)]['scalar_coupling_constant'].hist(\n            bins=100, density=True, ax=axs[t_idx, tf_idx])\naxs[0, 0].set_title('atom_index_0 > atom_index_1')\naxs[0, 1].set_title('atom_index_1 > atom_index_0')\nplt.suptitle('Scalar Coupling Constant by Type and Funny Business')\nplt.tight_layout()\nplt.show()","execution_count":77,"outputs":[{"output_type":"stream","text":"/opt/conda/lib/python3.6/site-packages/numpy/lib/histograms.py:893: RuntimeWarning: invalid value encountered in true_divide\n  return n/db/n.sum(), bin_edges\n","name":"stderr"},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x1728 with 16 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"# Additional Data <a id=\"additional\"></a>"},{"metadata":{},"cell_type":"markdown","source":"## Magnetic Sheilding Tensor <a id=\"mst\"></a>"},{"metadata":{"trusted":true},"cell_type":"code","source":"df_mst.head()","execution_count":155,"outputs":[{"output_type":"execute_result","execution_count":155,"data":{"text/plain":"      molecule_name  atom_index        XX    ...         XZ      YZ        ZZ\n0  dsgdb9nsd_000001           0  195.3150    ...    -0.0001  0.0007  195.3170\n1  dsgdb9nsd_000001           1   31.3410    ...     4.0546 -1.7173   34.0861\n2  dsgdb9nsd_000001           2   31.5814    ...    -4.1476 -1.6036   33.8967\n3  dsgdb9nsd_000001           3   31.5172    ...     1.2724  1.6951   28.9579\n4  dsgdb9nsd_000001           4   31.4029    ...    -1.1795  1.6260   28.9013\n\n[5 rows x 11 columns]","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>molecule_name</th>\n      <th>atom_index</th>\n      <th>XX</th>\n      <th>YX</th>\n      <th>ZX</th>\n      <th>XY</th>\n      <th>YY</th>\n      <th>ZY</th>\n      <th>XZ</th>\n      <th>YZ</th>\n      <th>ZZ</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>dsgdb9nsd_000001</td>\n      <td>0</td>\n      <td>195.3150</td>\n      <td>0.0000</td>\n      <td>-0.0001</td>\n      <td>0.0000</td>\n      <td>195.3170</td>\n      <td>0.0007</td>\n      <td>-0.0001</td>\n      <td>0.0007</td>\n      <td>195.3170</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>dsgdb9nsd_000001</td>\n      <td>1</td>\n      <td>31.3410</td>\n      <td>-1.2317</td>\n      <td>4.0544</td>\n      <td>-1.2317</td>\n      <td>28.9546</td>\n      <td>-1.7173</td>\n      <td>4.0546</td>\n      <td>-1.7173</td>\n      <td>34.0861</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>dsgdb9nsd_000001</td>\n      <td>2</td>\n      <td>31.5814</td>\n      <td>1.2173</td>\n      <td>-4.1474</td>\n      <td>1.2173</td>\n      <td>28.9036</td>\n      <td>-1.6036</td>\n      <td>-4.1476</td>\n      <td>-1.6036</td>\n      <td>33.8967</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>dsgdb9nsd_000001</td>\n      <td>3</td>\n      <td>31.5172</td>\n      <td>4.1086</td>\n      <td>1.2723</td>\n      <td>4.1088</td>\n      <td>33.9068</td>\n      <td>1.6950</td>\n      <td>1.2724</td>\n      <td>1.6951</td>\n      <td>28.9579</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>dsgdb9nsd_000001</td>\n      <td>4</td>\n      <td>31.4029</td>\n      <td>-4.0942</td>\n      <td>-1.1793</td>\n      <td>-4.0944</td>\n      <td>34.0776</td>\n      <td>1.6259</td>\n      <td>-1.1795</td>\n      <td>1.6260</td>\n      <td>28.9013</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"df_mst[mst_elems].hist(bins=100, figsize=(9, 9))\nplt.show()","execution_count":17,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 648x648 with 9 Axes>","image/png":"iVBORw0KGgoAAAANSUhEUgAAAjoAAAIYCAYAAABkLEb9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAAIABJREFUeJzs3X2YXWV9//v3RyIQqUh4GlKCnVDTh0AskCmJl/48A4EwUI+hp5HGckyiOXJOBYUajww/e11IKAr+SpEgYiNEgj9qQLS/5BAgBmQuWq4mEtASQqQZQ2iShqc8YVCBwe/5Y90TVjZ778zjfljzeV3Xvmbv73q477Xnnj3ffa9130sRgZmZmVkRvaPeFTAzMzMbLk50zMzMrLCc6JiZmVlhOdExMzOzwnKiY2ZmZoXlRMfMzMwKy4mOmZmZFZYTnYKT9DuSNku6MBd7t6T/lDRT0g8kfbtkm3+W9I3a19asbw7Qrr8gaYOkQ3LLjpL0oqSO+tTYrLoDtOnZkvaWefRI+nE9690M5AkDi0/SOcD/BCZGxEuSbgFaIuL/kHQcsB6YGREPS/pL4GvASRGxt47VNqvqAO36QWBNRHwprftd4M2ImFu/GptVV61Nl1n3/cCjwJ9HxIM1rmpTcaIzQki6HTgE+EfgB2SJzPNp2Vzgb4EzgceAORHxQH1qatZ3ldq1pFbgp8AZQAvwnbRsV31qatY31T6rc+scDqwF7oiIv6t5JZuME50RQtIY4GngncD/GxHfKVm+EpgMrIiIOXWoolm/VWvXkj4LfBIYA/xNRPyv+tTSrO8O9Fmd1vkBcCjwkfA/8QPyNTojRPomux54F/DDMqv8C3AUWbepWVM4QLv+BvAG8DMnOdYsDvRZLWk+2ZfSTzjJ6RsnOiOEpP8TaAUeBK4rWTYB+ALwTeB6Se+seQXNBqBau07/BDaQ/dMwawoH+Kz+EHAV2TWVO2tfu+bkRGcEkHQscAPwaeD/Bi6Q9N/SMgG3Al8HPgu8Clxep6qa9Vm1dm3WjA7wWd0C3AV8ISLW1q+WzceJzsjwDeB/RcTDEbEd+CLw7TT89q+Bo4GvRMRvgXnAFyX9Uf2qa9Yn1dq1WTOq1qaXAj+OiG/VtYZNyBcjF5yk88lOSU2MiN25+I+B54A/BzoiYnVu2ZXAWcCHfQ7YGtEB2vW/5YaV3w5sjYi/rUtFzfroAG1aQDvwa+C3JZs+FxEn1aqezciJjpmZmRWWT12ZmZlZYTnRMTMzs8JyomNmZmaF5UTHzMzMCsuJjpmZmRXWqHpXoFaOPvroaG1trXc1htyrr77KYYcdVu9q1NVwvAePP/74yxFxzJDudIiVtumR0BZ8jAPXDG0ahvezutHbT6PXDxqrjn1t0yMm0WltbWXt2uJNJtnV1UV7e3u9q1FXw/EeSHpuSHc4DErb9EhoCz7GgWuGNg3D+1nd6O2n0esHjVXHvrZpn7oyMzOzwnKiY2ZmZoU1qERH0t9IWi/pKUnfk3SopPGS1kjqlnSXpIPTuoek191peWtuP1ek+DOSzsnFO1KsW1JnLl62DDMzM7O8ASc6ko4HPge0RcTJwEHALLLbyt8QEe8DdpHdJJL0c1eK35DWQ9LEtN1JQAfwTUkHSToIuBk4F5gIfDytS5UyzMzMzPYZ7KmrUcBoSaOAdwHbgTOBe9LyJcD56fmM9Jq0fJokpfjSiHgtIp4FuoHT06M7IjZFxOtkd26dkbapVIaNQOu27aG1c0W9q2HDzL9jKzK37+Ez4EQnIrYBfw/8J1mCswd4HNgdET1pta3A8en58cCWtG1PWv+ofLxkm0rxo6qUYWZmZrbPgIeXSxpD1hszHtgNfJ/s1FPDkHQRcBFAS0sLXV1d9a3QMNi7d28hj6s/WkbD/Ek9I/59MDOztxvMPDpnAc9GxEsAkn4IfBA4QtKo1OMyDtiW1t8GnABsTae63gPsyMV75bcpF99RpYz9RMQiYBFAW1tbNMrY/6HUSHMa1MtNdy7j+nWj2Hxhe72rYmZmDWYw1+j8JzBV0rvSdTPTgKeBh4GZaZ05wLL0fHl6TVr+44iIFJ+VRmWNByYAPwEeAyakEVYHk12wvDxtU6kMMzMzs30Gc43OGrILgp8A1qV9LQIuBz4vqZvseprb0ia3AUel+OeBzrSf9cDdZEnSA8DFEfFm6q25BFgJbADuTutSpQwzMzOzfQZ1C4iIuBK4siS8iWzEVOm6vwE+VmE/1wDXlInfB9xXJl62DDMzM7M8z4xsZlZwN9xwA8BJntzVRiInOjYifepTn+LYY4/l5JNP3hfbuXMnZ599NhMmTIDs+rAxAMosTB/WT0o6rXcbSXMkbUyPObn4ZEnr0jYL03VsSDpS0qq0/qq+lGE2GNu2bWPhwoUAT3tyVxuJnOjYiDR37lweeOCB/WLXXnst06ZNY+PGjQC/JF1HRvYBPiE9LgJugSxpITt1O4XsVOqVvYlLWufTue16p17oBB6KiAnAQwcqw2wo9PT0ALzDk7vaSDSoa3TMmtWHP/xhNm/evF9s2bJl+bl4dpB9KF9O9gF/Rxrxt1rSEZLGAu3AqojYCSBpFdAhqQs4PCJWp/gdaV/3p321pzKWAF3VyoiI7UN97DayHH/88XzhC1/gsssuez9ZgvMj+jG5q6T85K6rc7vOb1M6uesU+jG5a63mPGvkecfmT+pp6Pr1aoY6lnKiY5a88MILjB07tvflG8Dvpef9nb37+PS8NA7QkktengdaDlCGEx0blF27drFs2TLIRsf+KQ04uWut5jxr5HnH5nau4PaOwxq2fr0a+T2sxImOWWUxrDuPCEn9KqPaN99m/KbVH83yjXewhvoYu7q6OPTQQwF6IuKNRpzc1Ww4OdExS1paWti+fXtvr847gRfTokof8Nt46zRUb7wrxceVWR/ghd5TUun014HK2E+1b77N+E2rP5rlG+9gDfXvcfTo0Xz/+9+H7Bqd3sld1/LWxKtLKT+567+Rm9xV0nLgnyT9A/C7vDW5q0iTu5K12VnAX6VtKpVhVjO+GNks+ehHP8qSJb3XYHIU+3/wz04jo6YCe9Lpp5XAdElj0kXI04GVadkrkqamfyyzKT9DeOk/l3JlmA3KlClTmDlzJsAf48ldbQRyj46NSB//+Mfp6uri5ZdfZty4cVx11VV0dnZywQUXcNtttwEcDlybVr8POI9slMmvgE8CRMROSVeT3a4EYEHvhcnAZ4DbgdFkFyHfn+LXAndLmgc8B1xQrQyzoXDVVVexYMGC9RHRlgt7clcbEZzo2Ij0ve99r2z8oYceAkDSf/QmLWkk1MXl1o+IxcDiMvG1wMll4jvITh2UxiuWYWZmA+dTV2ZmZlZYTnTMzMyssJzomJmZWWE50TEzM7PCcqJjZmZmheVEx8zMzArLiY6ZmZkVlhMdMzMzKywnOmZmZlZYTnTMzMyssJzomJmZWWE50TEzM7PCcqJjZmZmhTWoREfSEZLukfRzSRskfUDSkZJWSdqYfo5J60rSQkndkp6UdFpuP3PS+hslzcnFJ0tal7ZZKEkpXrYMMzMzs7zB9ujcCDwQEX8E/AmwAegEHoqICcBD6TXAucCE9LgIuAWypAW4EpgCnA5cmUtcbgE+nduuI8UrlWFmZma2z4ATHUnvAT4M3AYQEa9HxG5gBrAkrbYEOD89nwHcEZnVwBGSxgLnAKsiYmdE7AJWAR1p2eERsToiArijZF/lyjAbtBtuuAHgJElPSfqepEMljZe0JvUu3iXpYABJh6TX3Wl5a+9+JF2R4s9IOicX70ixbkmduXjZMszMbOAG06MzHngJ+I6kn0q6VdJhQEtEbE/rPA+0pOfHA1ty229NsWrxrWXiVCnDbFC2bdvGwoULAZ6OiJOBg4BZwHXADRHxPmAXMC9tMg/YleI3pPWQNDFtdxJZT+Q3JR0k6SDgZrIezonAx9O6VCnDzMwGaNQgtz0N+GxErJF0IyWnkCIiJMVgKngg1cqQdBHZaTJaWlro6uoazqrUxd69ewt5XP3RMhrmT+oZkvfhpZde4tVXXwV4h6RRwLuA7cCZwF+l1ZYAXyY7tTojPQe4B/hGupZsBrA0Il4DnpXUTXZqFqA7IjYBSFoKzJC0oUoZZmY2QINJdLYCWyNiTXp9D1mi84KksRGxPZ1+ejEt3wackNt+XIptA9pL4l0pPq7M+lQpYz8RsQhYBNDW1hbt7e3lVmtqXV1dFPG4+uOmO5dx/bpRbL6wfUj291//9V9cdtll7ydLcH4EPA7sjoietEq+d3Ffj2RE9EjaAxyV4qtzu81vU9qDOSVtU6mMfaol70VPeudP6in8MULxf49mtTbgRCcinpe0RdIfRsQzwDTg6fSYA1ybfi5LmywHLknfYKcAe1KishL4Su4C5OnAFRGxU9IrkqYCa4DZwE25fZUrw2xQdu3axbJlywDWAX8KfJ+3LoKvu2rJe9GT3rmdK7i947BCHyMU//doVmuDHXX1WeBOSU8CpwBfIUs+zpa0ETgrvQa4D9gEdAPfBj4DEBE7gauBx9JjQYqR1rk1bfML4P4Ur1SG2aA8+OCDjB8/HqAnIt4Afgh8kOzi+d4vBvnexX09lWn5e4AdVO/BLBffUaUMs0HZvXs3wImeCsRGokElOhHxs4hoi4j3R8T5EbErInZExLSImBARZ/UmLWm01cUR8fsRMSki1ub2szgi3pce38nF10bEyWmbS9LoKyqVYTZY733ve1m9ejVk1+iIt3oqHwZmptVKeyp7P/BnAj9O7XQ5MCuNyhpPNj3CT8iS+QlphNXBZBcsL0/bVCrDbFAuvfRSgFc8FYiNRJ4Z2SxnypQpzJw5E+CPyU5fvYPsVNHlwOfTRcVHkaZVSD+PSvHPkz7II2I9cDdZkvQAcHFEvJmuwbkEWEn2z+butC5VyjAbsD179vDII48AvAyeCsRGnsFcjGxWSFdddRULFixYHxFtufAm3ho1tU9E/Ab4WLn9RMQ1wDVl4veRncotjZctw2wwnn32WY455hg2b97cKumnZBfXX0oDTQVSqxGyjXyhd7NcbN8MdSzlRMfMrMB6enp44oknAF6KiFMbcSqQWo2QbeQLvZvlYvtGfg8r8akrM7MCGzduHOPGjQN4NYXuIZsD7YV02ol+TAVSKV51KpAyZZjVjBMdM7MCO+644zjhhBMADkmh3gvs8xfSl15gPzuNvppKmgqE7Lqy6ZLGpIuQpwMr07JXJE1NF/DPpvzF+r7A3urCp67MzArupptu4tRTTz0xTQWyCfgk2RfduyXNA54DLkir3wecRzatx6/SuqS5zXqnAoG3TwVyOzCabBqQ/FQg5cowqxknOmZmBXfKKacAbCi5wB6y3p39pJFTF5fbT0QsBhaXia8FTi4T31GuDLNa8qkrMzMzKywnOmZmZlZYTnTMzMyssJzomJmZWWE50TEzM7PCcqJjZmZmheVEx8zMzArLiY6ZmZkVlhMdMzMzKywnOmYldu/eDXCipJ9L2iDpA5KOlLRK0sb0cwxAuh/QQkndkp6UdFrvfiTNSetvlDQnF58saV3aZmG6PxCVyjAzs4FzomNW4tJLLwV4JSL+CPgTYAPQCTwUEROAh9JrgHOBCelxEXALZEkLcCUwBTgduDKXuNwCfDq3XUeKVyrDzMwGyImOWc6ePXt45JFHAF4GiIjXI2I3MANYklZbApyfns8A7ojMauAISWOBc4BVEbEzInYBq4COtOzwiFid7il0R8m+ypVhZmYD5ETHLOfZZ5/lmGOOAWiV9FNJt0o6DGiJiO1pteeBlvT8eGBLbhdbU6xafGuZOFXKMDOzAfLdy81yenp6eOKJJwBeiohTJd1IySmkiAhJMZz1qFSGpIvITpHR0tJCV1fXvmV79+7d73XRzJ/UU/hjhOL/Hs1qzYmOWc64ceMYN24czz333KspdA9ZovOCpLERsT2dfnoxLd8GnJDfRYptA9pL4l0pPq7M+lQpY5+IWAQsAmhra4v29reK6OrqIv+6aOZ2ruD2jsMKfYxQ/N+jWa351JVZznHHHccJJ5wAcEgKTQOeBpYDvSOn5gDL0vPlwOw0+moqsCedfloJTJc0Jl2EPB1YmZa9ImlqGm01u2Rf5cowM7MBGnSiI+mgdC3Dven1eElr0tDZuyQdnOKHpNfdaXlrbh9XpPgzks7JxTtSrFtSZy5etgyzoXDTTTdBNrz8SeAU4CvAtcDZkjYCZ6XXAPcBm4Bu4NvAZwAiYidwNfBYeixIMdI6t6ZtfgHcn+KVyjAzswEailNXl5INvz08vb4OuCEilkr6FjCPbDjtPGBXRLxP0qy03l9KmgjMAk4Cfhd4UNIfpH3dDJxNdsHmY5KWR8TTVcowG7RTTjkFYENEtJUsmla6bho5dXG5/UTEYmBxmfha4OQy8R3lyjAzs4EbVI+OpHHAn5F9OyV1xZ9Jdl0DvH0Ybu/Q2XuAaWn9GcDSiHgtIp4l+5Z7enp0R8SmiHgdWArMOEAZZmZmZvsM9tTV14EvAr9Nr48CdkdET3qdHzq7b7htWr4nrd/f4bnVyjAzMzPbZ8CnriR9BHgxIh6X1D50VRo61YbiFoWHokLL6Gzo8Uh/H8zM7O0Gc43OB4GPSjoPOJTsGp0byWaGHZV6XPJDZ3uH4W6VNAp4D7CDysNzqRDfUaWM/VQbilsUHooKN925jOvXjWLzhe31ropZQ5P0U2BbRHxE0niySwKOAh4HPhERr0s6hGzG7slkn7d/GRGb0/ZXkF0T+SbwuYhYmeIdZJ//BwG3RsS1KV62jFodrxkM4tRVRFwREeMiopXsYuIfR8SFwMPAzLRa6TDc3qGzM9P6keKz0qis8WT3/vkJ2UiVCWmE1cGpjOVpm0plmJlZeS1kA0d69Q7qeB+wiyyBgdzAEeCGtB4lA0c6gG+mUbcHkQ0cOReYCHw8rVutDCtj3bY99a5CIQ3HPDqXA5+X1E2Wxd+W4rcBR6X450mzzUbEeuBusrlKHgAujog3U2/NJWTzkWwA7k7rVivDzMxKbN26FbJedA8csRFnSGZGjogusllfiYhNZA2/dJ3fAB+rsP01wDVl4veRzVNSGi9bhpmZvd1ll10G2cCNfg8ckZQfOLI6t9v8NqUDR6YcoIz91Op6yka+pnH+pB5aRtOw9evVyO9hJb4FhJlZgd17770ce+yxAL+qd10qqdX1lI18TePczhXMn9TDBQ1av16N/B5W4kTHzKzAHn30UZYvXw4wiey0UsMNHDEbTr7XlZlZgX31q1/tvUZnHR44YiOQEx0zs5HJA0dsRPCpKzOzEcIDR2wkco+OmZmZFZYTHTMzMyssJzpmZmZWWE50zEq8+eabABMl3QvZ/XokrZHULemuNLKENPrkrhRfI6m1dx+SrkjxZySdk4t3pFi3pM5cvGwZZmY2OE50zErceOONAL/OhXxPIDOzJuVExyxn69atrFixAuBl8D2BzMyanYeXm+VcdtllfO1rX6Otra031DT3BGrGe9D0x/xJPYU/Rij+79Gs1pzomCW99wSaPHlyvatSUbV7AjXjPWj6Y27nCm7vOKzQxwjF/z2a1ZpPXZklvfcEam1tBTiR7HTSvnsCpdXK3ROIPt4TqFJ83z2BypRhZmaD4ETHLOm9J9DmzZsBNuF7ApmZNT0nOmYH5nsCmZk1KV+jY1beLyPiI+B7ApmZNTP36JiZmVlhOdExMzOzwnKiY2ZmZoXlRMfMzMwKy4mOmZmZFZYTHTMzMyusASc6kk6Q9LCkpyWtl3Rpih8paZWkjennmBSXpIWSuiU9Kem03L7mpPU3SpqTi0+WtC5tszDd/LBiGWa9WjtX0Nq5ot7VMDOzOhtMj04PMD8iJgJTgYslTSSbNO2hiJgAPJReA5xLNkPsBLKbEt4CWdICXEl2c8PTgStzicstwKdz23WkeKUyzMzMzPYZcKITEdsj4on0/JdkM70eD8wAlqTVlgDnp+czgDsis5rs3j5jgXOAVRGxMyJ2AauAjrTs8IhYnabIv6NkX+XKMDOznC1btnDGGWcAnOTedxuJhmRmZEmtwKnAGqAlIranRc8DLen58cCW3GZbU6xafGuZOFXKKK3XRWS9R7S0tNDV1dW/A2sCe/fuLeRx9UfLaJg/qWe/92H+pB6AEf/emI0aNYrrr7+eyZMnrwfOAB6XtAqYS9Yzfq2kTrKe8cvZv/d9ClnP+pRc73sbEGk/y9MX1N7e9zVkM393APfzVu97aRlmNTPoREfS7wA/AC6LiFdSIg9ARISkGGwZ1VQrIyIWAYsA2traor29fTirUhddXV0U8bj646Y7l3H9ulFsvrB9X2xuuj4nHzMbicaOHcvYsWOBrPddUr73vT2ttgToIktC9vW+A6sl9fa+t5N63wFSstQhqYvU+57ivb3v91cpw6xmBjXqStI7yZKcOyPihyn8QvqjIP18McW3ASfkNh+XYtXi48rEq5VhZmYVNGrvu9lwGnCPTjoHexuwISL+IbdoOTAHuDb9XJaLXyJpKVl36J6I2C5pJfCV3Lnb6cAVEbFT0iuSppL9Uc4GbjpAGWZmVt47aNDe91pdZtDIp/rnT+qhZXTjn25v5PewksGcuvog8AlgnaSfpdh/J0s+7pY0D3gOuCAtuw84D+gGfgV8EiAlNFcDj6X1FvR2jQKfAW4HRpN1g96f4pXKMDOzEm+88QbA7wNXlfa+py+cfe19by+Jd9GH3vcyZeynVpcZNPKp/rmdK5g/qYcLGrR+vRr5PaxkwIlORPwroAqLp5VZP4CLK+xrMbC4THwtcHKZ+I5yZZiZ2f4ignnz5gH8xr3vNhJ5ZmSzHA/FtaJ59NFH+e53vwvwbkk/S4/zyJKPsyVtBM5KryHrfd9E1vv+bbKedVJPe2/v+2O8vff91rTNL9i/971cGWY1MyTDy82KwkNxrWg+9KEPERFIejoi2koWu/fdCs89OmY5Y8eO5bTTsk4ZT4RpZtb83KNjhTNU97hqxKG41UanNONoiP6YP6mn8McIxf89mtWaEx2z8hpyKG610SnNOBqiP+Z2ruD2jsMKfYxQ/N+jWa351JVZidxQXE+EaWbW5JzomOX0YSguvH0o7uw0+moqaSgusBKYLmlMGj01HViZlr0iaWoabTW7ZF/lyjAzswHyqSuznNKhuCnsiTDNzJqUEx2zHA/FNTMrFp+6MjMzs8JyomNmTWPdtj1DNn2AmY0MTnTMzMyssJzomJmZWWE50TGzhufTVWY2UE50zMzMrLCc6JiZmVlhOdGxQvEpDjMzy3OiY2ZmVkf+gja8nOhYYfjDwsyaXWvnCn+WDTEnOmZmZlZYTnSs0PzNyMxsZHOiY02tL4mMu4KLx79PM+sr373czBqWExozG6ym7dGR1CHpGUndkjrrXR+rvSL+E3S7tqJxm66sWm9zET/f6qUpEx1JBwE3A+cCE4GPS5pY31pZo2v0U1hu1/s70O+qkX+XlnGbtkbQrKeuTge6I2ITgKSlwAzg6brWyobVCPjH5nad9PV33dq5gs3X/tkw18YGwW26jP60715u5wPXrInO8cCW3OutwJTSlSRdBFyUXu6V9EwN6lZrRwMv17sS9fS5fr4Huq5Pq/3eQOszCAds1wdo04VvC+V+1338fTaT4fo9NmSbhpp+Vjf030i1z7IGaueN9B72qU03a6LTJxGxCFhU73oMJ0lrI6Kt3vWop5H0HlRr0yPhffAxFlOtPqsb/b1t9PpBc9SxVFNeowNsA07IvR6XYmbNzO3aisZt2uquWROdx4AJksZLOhiYBSyvc53MBsvt2orGbdrqrilPXUVEj6RLgJXAQcDiiFhf52rVS6FPzfVRId6DIWjXhXgfDsDH2EQa8LO60d/bRq8fNEcd96OIqHcdzMzMzIZFs566MjMzMzsgJzpmZmZWWE50Gpik/yHp55KelPTPko7ILbsiTan+jKRzcvGy062niwHXpPhd6cLApjdSppeX9DFJ6yX9VlJbybLCt4Vm/j1LWizpRUlP5WJHSlolaWP6OSbFJWlhOs4nJZ2W22ZOWn+jpDn1OJZmIenLkrZJ+ll6nJdb1q+/lxrWuSHauKTNktal921tivW7vTaUiPCjQR/AdGBUen4dcF16PhH4d+AQYDzwC7IL/Q5Kz08EDk7rTEzb3A3MSs+/Bfx1vY9vCN6fisdbtAfwx8AfAl1AWy5e+LbQ7L9n4MPAacBTudjXgM70vDP3t30ecD8gYCqwJsWPBDaln2PS8zH1PrZGfQBfBr5QJt7vv5ca1bdh2jiwGTi6JNav9tpoD/foNLCI+FFE9KSXq8nmoIBsCvWlEfFaRDwLdJNNtb5vuvWIeB1YCsyQJOBM4J60/RLg/FodxzAqe7x1rtOwiIgNEVFuttiR0Baa+vccEY8AO0vCM8jee9j/dzADuCMyq4EjJI0FzgFWRcTOiNgFrAI6hr/2hdOvv5ca1qve5R9If9trQ3Gi0zw+RZY5Q/lp1Y+vEj8K2J1Lmnrjza7S8Y4kI6EtFPH33BIR29Pz54GW9Ly/v0+r7JJ0OmVx76kWGvf9rXf5eQH8SNLjym7NAf1vrw2lKefRKRJJDwLHlVn0pYhYltb5EtAD3FnLullt9aUtWPFEREjyPB/9VO3vBbgFuJrsn/bVwPVkXxbtwD4UEdskHQuskvTz/MJmbK9OdOosIs6qtlzSXOAjwLRIJ0WpPq16ufgOsi7FUembfFGmYS/U9PIHagsVjIS2UKjfc/KCpLERsT119b+Y4pWOdRvQXhLvqkE9G1Zf/14kfRu4N73s799LrTRMG4+Ibenni5L+mey0Wn/ba0PxqasGJqkD+CLw0Yj4VW7RcmCWpEMkjQcmAD+hwnTrKUF6GJiZtp8DFKGHwNPLj4y2UMTf83Ky9x72/x0sB2an0SxTgT3plMFKYLqkMek0zPQUszJKrhP5c6B3xFu//l5qWOV6lw+ApMMkvbv3OVk7e4r+t9fGUu+rof2o/CC7UG4L8LP0+FZu2ZfIrtJ/Bjg3Fz8P+I+07Eu5+Ilkf9DdwPeBQ+p9fEP0HpU93qI9yD6stwKvAS8AK0dSW2jm3zPwPWA78Eb6Hc4ju1bqIWAj8CBwZFpJgy1JAAAgAElEQVRXwM3pONex/wi7T6XfWTfwyXofVyM/gO+m9+9Jsn/GY3PL+vX3UsM6172Np8+Gf0+P9b31GEh7baSHbwFhZmZmheVTV2ZmZlZYTnTMzMyssJzomJmZWWE50TEzM7PCcqJjZmZmheVEx8zMzArLiY6ZmZkVlhMdMzMzKywnOmZmZlZYTnTMzMyssJzoFJyk/ynpOyWx/03SDkm3SfpRybKvS7oXswZ2gHb9hqSjc/FDJG2Q9P/UvqZmfXOANv2mpL0ljzckbapXfZuJ73VVcJKOIrs52yciYpWkQ8ludPcV4O70/JqI+I6kDwD3AZMiYmvdKm12AAdo1/8NODQiLkzrXg18EJgW/sCzBlWtTUfE7SXr/i7wU6AzIr7ztp3ZfpzojACSPgZ8DTgZ+FvglIg4Ny07A7gHOA14APh6RPxjvepq1leV2rWk9wBPAxcBzwH/AkyOCH/7tYZW7bM6t84ooAv4eUT8XzWvZBNyojNCSPoB8E6yb7anRMSW3LJ/BP4CWAec6W+91iwqtWtJ/zvwTWA78E8R8fX61dKs76p9Vqfl/wCcAXwgIn5Thyo2HV+jM3J8BjgTWFD6h0P2jfcosn8ITnKsmZRt1xHx/wGryT7jFtapbmYDUfGzWtJfAJ8E/sJJTt850RkhIuIF4GWyc8D7pPPCfw98HVgg6Yg6VM9sQCq162Q9Wff+b2tbK7OBq/JZ/QfAbcAcn4btHyc69nXggYj4G+ARsqTHzMwahKR3AT8AvhURy+tdn2Yzqt4VsPqRdB5wNjAxhT4LPC3pzoh4uH41MzOznG8BO4Av1bsizciJzggl6d1kfzyfi4idABHxoqT5wCJJ74+IX9e1kmZmI5yk9wKfAF4D9kjab3lE/E496tVMPOrKzMzMCsvX6JiZmVlhOdExMzOzwnKiY2ZmZoXlRMfMzMwKa8SMujr66KOjtbW13tWoiVdffZXDDjus3tVoKP19Tx5//PGXI+KYYazSoA20TRehfRThGKC2x9EMbRqG/rO6WdtKM9a71nXua5seMYlOa2sra9eurXc1aqKrq4v29vZ6V6Oh9Pc9kfTc8NVmaAy0TRehfRThGKC2x9EMbRqG/rO6WdtKM9a71nXua5v2qSszMzMrLCc6ZmZmVlhOdMzMzKywDpjoSFos6UVJT+ViR0paJWlj+jkmxSVpoaRuSU9KOi23zZy0/kZJc3LxyZLWpW0WKs1vPZAyzMzMzPL60qNzO9BREusEHoqICcBD6TXAucCE9LgIuAWypAW4EpgCnA5c2Zu4pHU+nduuYyBlmA2VG264AeAkSU9J+p6kQyWNl7QmJdh3SToYQNIh6XV3Wt7aux9JV6T4M5LOycU7UqxbUmcuXrYMMzMbuAMmOhHxCLCzJDwDWJKeLwHOz8XviMxq4AhJY4FzgFURsTMidgGrgI607PCIWB3ZTbfuKNlXf8owoLVzBeu27al3NZrWtm3bWLhwIcDTEXEycBAwC7gOuCEi3gfsAualTeYBu1L8hrQekiam7U4iS96/KekgSQcBN5Ml7BOBj6d1qVKGFdS6bXto7VxR72pYA2ntXOE2McQGeo1OS0RsT8+fB1rS8+OBLbn1tqZYtfjWMvGBlGE2JHp6egDeIWkU8C5gO3AmcE9apTTx7k3I7wGmpdOvM4ClEfFaRDwLdJP1Zp4OdEfEpoh4HVgKzEjbVCrDzMwGaNDz6ERESBrWW6APtAxJF5Gd3qKlpYWurq6hrlrDmT+ph5bRjIhj7Y+9e/f2+T2ZMWMGN9988/vJEpwfAY8DuyOiJ62ST673Jd4R0SNpD3BUiq/O7Ta/TWmiPiVtU6mMfYaiTffnvWhURTgGgJbR2d9sEY7FrFENNNF5QdLYiNieThu9mOLbgBNy641LsW1Ae0m8K8XHlVl/IGW8TUQsAhYBtLW1RbNNvjQQcztXMH9SDxeMgGPtj75OZLVr1y4WLFgAsA74U+D7vP0atboZijbdjBORlSrCMQDcdOcyrl83is0Xtte7KmaFNdBTV8uB3pFTc4BlufjsNDJqKrAnnX5aCUyXNCZdhDwdWJmWvSJpauq6n12yr/6UYTZoDz74IOPHjwfoiYg3gB8CHyS7Fqz3i0E+ud6XeKfl7wF2UD3pLxffUaUMMzMboL4ML/8e8G/AH0raKmkecC1wtqSNwFnpNcB9wCay6xG+DXwGICJ2AlcDj6XHghQjrXNr2uYXwP0p3q8yzIbCe9/7XlavXg3ZNToCpgFPAw8DM9NqpYl3b0I+E/hxurB+OTArjcoaTzZK8Cdk7X9CGmF1MNkFy8vTNpXKMDOzATrgqauI+HiFRdPKrBvAxRX2sxhYXCa+Fji5THxHf8swG6wpU6Ywc+ZMFixY8Mdkp69+SnaqaAWwVNLfpdhtaZPbgO9K6iYbnTgLICLWS7qbLEnqAS6OiDcBJF1C1st5ELA4ItanfV1eoQwzMxugEXNTT7O+uuqqq1iwYMH6iGjLhTeRjZjaT0T8BvhYuf1ExDXANWXi95H1TJbGy5ZhZmYD51tAmJmZWWE50TEzM7PCcqJjZmZmheVEx8zMzArLiY6ZmZkVlhMdMzMzKywnOmZmZlZYTnTMzMyssJzomJmZWWE50TEzM7PCcqJjZmZmheVEx8zMzArLiY6ZmZkVlhMdMzMzKywnOmZmBbd7926AEyX9XNIGSR+QdKSkVZI2pp9jAJRZKKlb0pOSTuvdj6Q5af2Nkubk4pMlrUvbLJSkFC9bhlktOdExMyu4Sy+9FOCViPgj4E+ADUAn8FBETAAeSq8BzgUmpMdFwC2QJS3AlcAU4HTgylzicgvw6dx2HSleqQyzmhlUoiPpbyStl/SUpO9JOlTSeElrUmZ/l6SD07qHpNfdaXlrbj9XpPgzks7JxTtSrFtSZy5etgwzM9vfnj17eOSRRwBeBoiI1yNiNzADWJJWWwKcn57PAO6IzGrgCEljgXOAVRGxMyJ2AauAjrTs8IhYHREB3FGyr3JlmNXMqIFuKOl44HPAxIj4taS7gVnAecANEbFU0reAeWTZ/jxgV0S8T9Is4DrgLyVNTNudBPwu8KCkP0jF3AycDWwFHpO0PCKeTtuWK8PMzHKeffZZjjnmGDZv3twq6afA48ClQEtEbE+rPQ+0pOfHA1tyu9iaYtXiW8vEqVLGfiRdRNZ7REtLC11dXf09zIr27t07pPsbbvMn9QDNV29o3DoPONHJbT9a0hvAu4DtwJnAX6XlS4AvkyUhM9JzgHuAb6TzuDOApRHxGvCspG6yblGA7ojYBCBpKTBD0oYqZZiZWU5PTw9PPPEEwEsRcaqkGyk5hRQRISmGsx7VyoiIRcAigLa2tmhvbx+ycru6uhjK/Q23uZ0rALi947Cmqjc07ns94EQnIrZJ+nvgP4FfAz8i+6awOyJ60mr5zH7ft4GI6JG0BzgqxVfndp3fpvTbw5S0TaUy9jOc3xIa1fxJPbSMZkQca3806jcNs+E2btw4xo0bx3PPPfdqCt1Dlui8IGlsRGxPp59eTMu3ASfkd5Fi24D2knhXio8rsz5VyjCrmcGcuhpD1hszHtgNfJ+3LkBrCMP5LaFRze1cwfxJPVwwAo61Pxr1m4bZcDvuuOM44YQTeO655w5JoWnA0+kxB7g2/VyWli8HLkm96FOAPSlRWQl8JXcB8nTgiojYKekVSVOBNcBs4KbcvsqVYVYzgzl1dRbwbES8BCDph8AHyS5cG5V6XPKZfe+3hK2SRgHvAXZQ+dsDFeI7qpRhZmYlbrrpJk499dQTJT0JbAI+STYY5W5J84DngAvS6veRXWvZDfwqrUtKaK4GHkvrLYiInen5Z4DbgdHA/ekBWYJTrgyzmhlMovOfwFRJ7yI7dTUNWAs8DMwElvL2bwlzgH9Ly3+cztkuB/5J0j+QXYw8AfgJIGCCpPFkicws4K/SNpXKMDOzEqeccgrAhohoK1k0rXTdNHLq4nL7iYjFwOIy8bXAyWXiO8qVYVZLAx5eHhFryM71PgGsS/taBFwOfD5dVHwUcFva5DbgqBT/POliuIhYD9xN1o36AHBxRLyZemsuAVaSzflwd1qXKmWYDZonVzMzK45BjbqKiCvJJpDK28Rbo6by6/4G+FiF/VwDXFMmfh9ZN2ppvGwZZkMhP7lamqPpXcB/J5v47No0p1MnWcKdn1xtCtnovym5ydXagAAeT9Mj7OKtydXWkLXvDrKu/s4KZZiZ2QB5ZmSzHE+uZmZWLIOdR8esUBp9crWhmDKhCEPti3AMAC2jsykhinAsZo3KiY5ZTqNPrjYUUyYUYah9EY4B4KY7l3H9ulFsvrC93lUxKyyfujLL6Z1cDchPrnYaaeIzgH5MrlYpXnVytTJlmNkIs27bnnpXoTCc6Jjl9E6uBpROrtY7PQK8fdqE2Wn01VTS5GpkowWnSxqTRk9NB1amZa9ImppGW83m7VMwlJZhZmYD5FNXZiU8uZqZWXE40TEr4cnVzMyKw6euzMzMrLCc6JiZmVlhOdExMzOzwnKiY2ZmZoXlRMfMzMwKy4mOmZmZFZYTHTMzMyssJzpmZmZWWE50zMzMrLAGlehIOkLSPZJ+LmmDpA9IOlLSKkkb088xaV1JWiipW9KTkk7L7WdOWn+jpDm5+GRJ69I2C9O9gahUhpmZmVneYHt0bgQeiIg/Av4E2AB0Ag9FxATgofQa4FxgQnpcBNwCWdICXAlMAU4HrswlLrcAn85t15HilcowMzMz22fAiY6k9wAfBm4DiIjXI2I3MANYklZbApyfns8A7ojMauAISWOBc4BVEbEzInYBq4COtOzwiFid7id0R8m+ypVhZmZmts9genTGAy8B35H0U0m3SjoMaImI7Wmd54GW9Px4YEtu+60pVi2+tUycKmWYmZmZ7TOYu5ePAk4DPhsRayTdSMkppIgISTGYCh5ItTIkXUR2moyWlha6urqGsyoNYf6kHlpGMyKOtT/27t3r98TMbAQaTKKzFdgaEWvS63vIEp0XJI2NiO3p9NOLafk24ITc9uNSbBvQXhLvSvFxZdanShn7iYhFwCKAtra2aG9vL7daocztXMH8ST1cMAKOtT+6uroYCb9/MzPb34BPXUXE88AWSX+YQtOAp4HlQO/IqTnAsvR8OTA7jb6aCuxJp59WAtMljUkXIU8HVqZlr0iamkZbzS7ZV7kyzMzMzPYZ7KirzwJ3SnoSOAX4CnAtcLakjcBZ6TXAfcAmoBv4NvAZgIjYCVwNPJYeC1KMtM6taZtfAPeneKUyzMysgnQ95b3p+XhJa9L0HXdJOjjFD0mvu9Py1tz2V6T4M5LOycU7UqxbUmcuXrYMs1oazKkrIuJnQFuZRdPKrBvAxRX2sxhYXCa+Fji5THxHuTLMzKyiFuBfgMPT6+uAGyJiqaRvAfPIpvSYB+yKiPdJmpXW+0tJE4FZwEnA7wIPSvqDtK+bgbPJLml4TNLyiHi6ShlmNeOZkc3MCm7r1q0A7yHrISddDnAm2bWV8PapQHqn77gHmJbWnwEsjYjXIuJZsp7209OjOyI2RcTrwFJgxgHKMKsZJzpmZgV32WWXQdbb8tsUOgrYHRE96XV++o59U36k5XvS+v2dIqRaGWY1M6hTV2Zm1tjuvfdejj32WIBf1bsulQznVCDNNrXE/ElZXtiM04Q06nvtRMfMrMAeffRRli9fDjCJ7LTS4WS37zlC0qjU45KfvqN3KpCtkkaRnfLaQeUpQqgQ31GljP0M51QgzTa1xNzOFQBNOU1Io77XPnVlVuLNN98EmOjRKVYEX/3qV3uv0VlHdjHxjyPiQuBhYGZarXQqkN7pO2am9SPFZ6V2P57s/oM/IRstOyG14YNTGcvTNpXKMKsZJzpmJW688UaAX+dCvSNH3gfsIhs5ArnRKcANaT1KRqd0AN+UdJCkg8hGp5wLTAQ+ntatVobZcLkc+LykbrLraW5L8duAo1L886QZ7yNiPXA32XxpDwAXR8SbqbfmErI50TYAd6d1q5VhVjM+dWWWs3XrVlasWAHwMuw3OuWv0ipLgC+TDZGdkZ5DNrLkG6WjU4Bn04f86Wm97ojYlPbdOzplQ5UyzIZMRHSRzTxPaoenl1nnN8DHKmx/DXBNmfh9ZHOllcbLlmFWS+7RMcu57LLL+NrXvpYPeXSKmVkTc4+OWdI7OmXy5Mn1rkpFQzE6pVFHRvRHEY4BspE18yf1FOJYzBqVEx2zpHd0yn333QdwItlIksKNTmnUkRH9UYRjALjpzmVcv24Umy9sr3dVzArLp67Mkt7RKZs3b4bsvmwenWJm1uSc6JgdmEenmJk1KZ+6MivvlxHxEfDoFDOzZuYeHTMzMyssJzpmZmZWWE50zMzMrLCc6JiZmVlhDTrRSffw+alvgGhmZmaNZih6dC4lGyrbyzdANDMzs4YwqERH0jjgz4Bb0+veGyDek1ZZApyfns9Ir0nLp5XeADEingV6b4B4OukGiBHxOtB7A8RqZZiZmZntM9h5dL4OfBF4d3rd5xsgSsrfAHF1bp/5bUpvgDjlAGXsZyjuC9Rs5k/qoWU0I+JY+6Mo90YyM7P+GXCiI+kjwIsR8bik9qGr0tAZivsCNZu5nSuYP6mHC0bAsfZHUe6NZGZm/TOYHp0PAh+VdB5wKHA4DXYDRDMzMxvZBnyNTkRcERHjIqKV7GJi3wDRzMzMGspwzKPjGyCamZlZQxiSm3pGRBfQlZ77BohmZmbWEDwzspmZmRWWEx0zMzMrLCc6ZmZmVlhOdMzMzKywnOiYmZlZYTnRMTMzs8JyomNmZmaF5UTHzKzAtmzZwhlnnAFwkqT1ki4FkHSkpFWSNqafY1JckhZK6pb0pKTTevclaU5af6OkObn4ZEnr0jYLJalaGWa15ETHzKzARo0axfXXXw+wHpgKXCxpItns9A9FxATgofQa4FyyW/FMAC4CboEsaQGuBKaQTdh6ZS5xuQX4dG67jhSvVIZZzTjRMTMrsLFjx3LaaVmnTET8kuyWOscDM4AlabUlwPnp+QzgjsisJruJ8ljgHGBVROyMiF3AKqAjLTs8IlanexHeUbKvcmWY1cyQ3ALCrCi2bNnC7NmzIXXzA4si4sb0bfYuoBXYDFwQEbtSF/2NwHnAr4C5EfEEZN38wN+mXf9dRCxJ8cnA7cBoslucXBoRUamM4T5mGzkktQKnAmuAlojYnhY9D7Sk58cDW3KbbU2xavGtZeJUKaO0XheR9R7R0tJCV1dX/w6sir179w7p/obb/Ek9ALSMpqnqDY37XjvRMcvp7eafPHnyeuAM4HFJq4C5ZF3w10rqJOuCv5z9u/mnkHXhT8l187cBkfazPCUuvd38a8gSnQ7gft7q5i8tw2wovAP4AXBZRLySLqMBICXaMZyFVysjIhYBiwDa2tqivb19yMrt6upiKPc33OZ2rgCyhOeCJqo3NO577VNXZjnu5rcieuONNwB+H7gzIn6Ywi+k9kj6+WKKbwNOyG0+LsWqxceViVcrw6xm3KNjVkEjdvMPRRd/o3Yv90cRjgGy0xPzJ/UM67FEBF/96lcBfhMR/5BbtByYA1ybfi7LxS+RtJSsl3JPRGyXtBL4Su4C5OnAFRGxU9IrkqaS/a3MBm46QBlmNeNEx6y8huzmH4ou/kbtXu6PIhwDwE13LuP6daPYfGH7sJXxr//6r6xatQrg3ZJ+lsL/nSz5uFvSPOA54IK07D6ya866ya47+yRASmiuBh5L6y2IiJ3p+Wd467qz+9ODKmWY1YwTHbMSuW7+q0q7+dM3275287eXxLvoQzd/mTLMBuxDH/oQEYGkpyOirWTxtNL10ynVi8vtKyIWA4vLxNcCJ5eJ7yhXhlktDfgaHUknSHpY0tOehMqKIiKYN28eVO7mh7d3889O7XsqqZsfWAlMlzQmtc/pwMq07BVJU1N7nl2yr3JlmJnZAA3mYuQeYH5ETMSTUFlBPProo3z3u9+F1M2fHueRdcGfLWkjcFZ6DVk3/yaybv5vk3Xhk7r0e7v5H+Pt3fy3pm1+wf7d/OXKMDOzARrwqav0zXR7ev5LSfnRKe1ptSVk3fWXkxudAqyW1Ds6pZ00OgUgDeXtkNRFGp2S4r2jU+6vUobZoLib38ysWIZkeHkjjk4xMzMzG/TFyJJ+hwYcnZLqNmyzbTaiddv2MH9Sc86oOdyKMhzZzMz6Z1CJjqR3kiU5b5uEqhFGpwznbJuNqJln1BxuRRmObCNHa+cKNl/7Z/WuhlnTG8yoKwG3ARs8OsXMzMwa0WB6dD4IfAJY50mozMzMrBENZtTVvwKqsNijU8zMzKzufFNPMzMzKywnOmZmZlZYTnTMzMyssJzomJmZWWH57uVmZg2kNc2HZWZDwz06ZmYNykmP2eA50TEzM7PCcqJjZmZmheVEp6Dc5W1mZuZEx8zMrCGUfkH1F9ah4UTHzKxB+B+b2dBzomNmZmaF5USnIPxN0MzM7O2c6JiZmVlhOdExM6sz98iaDR8nOgXmD0+z5uG/V7Ph4XtdmZnVWG9SM39SnStiDaNSotsb33ztn9WyOoXStD06kjokPSOpW1JnvetTT/4mWBxu11Yq//fd2rmi6f7e3aat3pqyR0fSQcDNwNnAVuAxScsj4un61qy2+vKB19q5wt8EmoTbdfENNEmpNJFco/9tu033jT/Lh1dTJjrA6UB3RGwCkLQUmAGMiD+e/n5Y5tf3H0pDG9Htumhq0fPSBP/83KYrGEj7aJYEt9E0a6JzPLAl93orMKV0JUkXARell3slPVODutXd5+Bo4OVyy3RdjSvTOCq+JxX83nBVpIoDtushatP9fS8aURGOoerfal/142+6Ids0DPtndVO2lSb9HK/1e92nNt2siU6fRMQiYFG961FrktZGRFu969FIivKeDEWbLsJ7UYRjgOIcx2AN52d1s77HzVjvRq1zs16MvA04Ifd6XIqZNTO3aysat2mru2ZNdB4DJkgaL+lgYBawvM51Mhsst2srGrdpq7umPHUVET2SLgFWAgcBiyNifZ2r1UhG3Om6Pmj496SG7brh34s+KMIxQHGOo6wG+axu1ve4GevdkHVWRNS7DmZmZmbDollPXZmZmZkdkBMdMzMzKywnOgUykqZal7RY0ouSnsrFjpS0StLG9HNMikvSwvS+PCnptNw2c9L6GyXNqcexDCVJ/0PSz9Nx/rOkI3LLrkjvwTOSzsnFy7abdAHpmhS/K11MWqvj+Jik9ZJ+K6mtZFnTHEclI+lvtZYkfVnSNkk/S4/zcsv61W7qpdHqU0rSZknr0vu7NsX6/dlbUxHhRwEeZBf6/QI4ETgY+HdgYr3rNYzH+2HgNOCpXOxrQGd63glcl56fB9wPCJgKrEnxI4FN6eeY9HxMvY9tkO/LdGBUen5d7j2YmNrEIcD41FYOqtZugLuBWen5t4C/ruFx/DHwh0AX0JaLN9VxVDi2EfW3WuP39svAF8rE+91u3DYq1nEzcHRJrF+fvbV+uEenOPZNtR4RrwO9U60XUkQ8AuwsCc8AlqTnS4Dzc/E7IrMaOELSWOAcYFVE7IyIXcAqoGP4az98IuJHEdGTXq4mm7cEsvdgaUS8FhHPAt1kbaZsu5Ek4EzgnrR9/v2sxXFsiIhys+M21XFUMKL+VhtEv9pNHevZaPXpq/5+9taUE53iKDfV+vF1qku9tETE9vT8eaAlPa/03hT9PfsU2bcp6P97cBSwO5c0Ncp7U4TjKHq7q7dL0mmSxb2nUGiez4BGq085AfxI0uPKbt0B/f/srammnEfH7EAiIiQVcu4ESQ8Cx5VZ9KWIWJbW+RLQA9xZy7r1R1+Ow6xUtXYD3AJcTfbP+GrgerKE34bOhyJim6RjgVWSfp5f2IifvU50isNTrcMLksZGxPbUPfpiild6b7YB7SXxrhrUc1Ai4qxqyyXNBT4CTIt0opzq7aNcfAdZN/Oo1Bsy5O3pQMdRQcMdxwD4b3UQ+tpuJH0buDe97G+7qZeGbxsRsS39fFHSP5OdbuvvZ29N+dRVcXiq9ex4e0dOzQGW5eKz0wiAqcCe1M26EpguaUzq4p6eYk1LUgfwReCjEfGr3KLlwCxJh0gaD0wAfkKFdpMSpIeBmWn7/PtZT0U4Dv+tDpOS6z/+HOgdldmvdlPLOpdotPrsR9Jhkt7d+5zsM/Mp+v/ZW1v1unLbj6F/kF3h/h9kV+1/qd71GeZj/R6wHXiD7LzvPLLrMR4CNgIPAkemdQXcnN6Xdew/iudTZBcmdgOfrPdxDcH70k12Tvxn6fGt3LIvpffgGeDcA7UbspEfP0n7/D5wSA2P48/T7/U14AVgZTMeR5XjGzF/qzV+X7+b/safJPsnO3ag7cZto2zdTiQbCfbvwPre+g3ks7eWD98CwszMzArLp67MzMyssJzomJmZWWE50TEzM7PCcqJjZmZmheVEx8zMzArLiY6ZmZkVlhMdMzMzKywnOmZmZlZYTnTM7P9v7/6jrSrvO4+/P4FoiYlRMd6hYAdsaFqUVIUKrjhZNzFRtJnBrDEWdSokNM402GrFNV6TWaPRmGLWECrW2CGRCrYRiU2XLEEJUc5KdQqKmkiAWG6UlMtCTAAxkPjjku/8sZ+jm+O5h/vznLMPn9daZ91zvvvH89zNsy/f/Tx7P8fMrGU50TEzM7OW5USnxUm6XNL+Kq+QdKOkJyV9Kbf+MElPSbqukfU2q+Uw7fo3kh6tWP/3JL0qaWKj6mxWSy/+Vldb9htJixtd92bn77o6Akn6M+ArwBlkX8b2/4CzIuInkq4H/itwdkQcbGA1zfok166nAKuAv4mIb0oSUALWRsRNjauhWd/k/1ZHxbd+SzoP+Ceyv9U/rra9ZZzoHGEknQH8C/CpiCil2E3AJ4DPA+uAcyJiY6PqaNZXle1aUjnZmQj8Z2AOMCki3mxgNc16rdrf6tyyk4FngLg04wEAACAASURBVL+KiH9oQPUKxYnOEUTSccDTwKKIuC0XPyrFRwF3RsSNDaqiWZ/VaNfzgdOBPwSmRcSGBlXRrE96atNp2VHAD4BnI+LPG1G/onGic4RI3fcPAgFcFBX/8JK+BcwGPhQR/9aAKpr1Wa12LWkE8BPguxHxVw2qolmf9OJv9R3AVLKe99cbUMXCGd7oCljdXA+cStZ9X3ni/CfgImAJcDtwQf2rZ9YvPbbriPi1pBeBTQ2pmVn/1PpbPQO4DDjTSU7v+amrI4CkduBLwMUR8UrFshHA3cB1ZPcxfEjSf6t7Jc36qFa7Niuiw/yt/gNgEfCnEfGzBlSvsJzotDhJo4BlwDUR8WyVVb4MbIuIeyLiAPDfgQWSTqxnPc36ohft2qxQarVpSceQPWF1e0SsakT9isz36LQ4Sf+bLJk5UGXxOuCPgNMj4sXcNn8PHBURl9enlmZ9c5h2/Q8R8T/SeqX0+Vt1rJ5Znx2mTb8MjAN+RXbvTt6/RIRvN6jBiY6ZmZm1LA9dmZmZWctyomNmZmYty4mOmZmZtSwnOmZmZtayjpgJA0888cQYO3Zs3co7cOAAxxxzTN3KGwyu89uefvrpX0TEBwZ9x4NoKNp0EdtAnuvfsyK0aXi7XRfl39L1HFx9qWev23REHBGvSZMmRT2tXbu2ruUNBtf5bcCGaIJ2W+s1FG26iG0gz/XvWRHadOTadVH+LV3PwdWXeva2TXvoyszMzFqWEx0zMzNrWU50zMzMrGU50TEzM7OW5UTHABjbsZKNO/Y1uhpNYcGCBQCnSvqxpPsk/ZakcZLWS+qUdL+kowAkHZ0+d6blY8v7kXRDij8v6fxcfFqKdUrqyMWrlmG9M7ZjZaOrYNbUxnasPCLPEyc6Zjk7duxg4cKFAJsj4jRgGDADuA1YEBEfBPYCs9Mms4G9Kb4grYekCWm7U4FpwDckDZM0DLgTuACYAFya1qVGGWZm1k9OdMwqdHd3A7xL0nDgPcBO4OPAA2mVJcBF6f309Jm0/FxJSvFlEfF6ZN8M3wmclV6dEfFCRLwBLAOmp216KsPMzPrJiY5ZzujRo7nuuusAPkyW4OwDngZeiYjutFoXMLq8CbAdIC3fB4zMxyu26Sk+skYZZmbWT0fMzMhmvbF3714efPBBgI3AHwHfIRt6agqSrgSuBGhra6NUKg3q/vfv3z/o+6yXuRO7C11/KPbxN2tWTnTMcr7//e8zbtw41q5d2x0Rb0r6LvAR4DhJw1OPyxhgR9pkB3Ay0JWGut4P7M7Fy/LbVIvvrlHGWyJiEbAIYPLkydHe3j4Yv/ZbSqUSg73PepnVsZJ7ph1T2PpDsY+/WbPy0JVZzu/8zu+wbt06yO7REXAusBlYC1ycVpsJPJjer0ifScsfS1OTrwBmpKeyxgHjgSeBp4Dx6Qmro8huWF6RtumpDLMBSd+JNkHSDyVtAJB0gqQ1kramn8enuCQtTE//PSfpzPJ+JM1M62+VNDMXnyRpY9pmYTp3eizDrJ6c6JjlTJkyhYsvvhjgD8iGr95F1oNyPXCtpE6y+2nuTpvcDYxM8WuBDoCI2AQsJ0uSHgHmRMTB1FtzFbAa2AIsT+tSowyzwfBvEXF6RExOnzuARyNiPPBo+gzZE4Hj0+tK4C7IkhbgRmAK2U31N+YSl7uAz+e2m3aYMszqxkNXZhW+/OUvc/PNN2/K/YcA8ALZH/dDRMRrwGeq7ScibgVurRJfBayqEq9ahtkQmQ60p/dLgBJZsj0dWJp6GddJOk7SqLTumojYAyBpDTBNUgk4NiLWpfhSsicGH65RhlndONExM2txaSRpvKSngf+b7vVqi4idaZWXgLb0vq9PDI5O7yvj1Cijsn7vuMm+KDdmF6mecyceBGjq+g7F8TxsoiNpMfAp4OU0gVq5C/N+YCywDbgkIvamcdnbgQuBXwGzIuKZtM1M4H+l3X4lIpak+CTgHmAE2VXu1RER/SnDzMze6fHHH2fMmDFbyP5urpH0k/zy9Dc3hrIOtcqodpN9UW7MLlI95z9+AIBtl7c3tjI1DMXx7M09OvfwzsdrGzm2W7UMMzOrbvTorIMlIl4G/pns7/CuNCRF+vlyWr2nJwZrxcdUiVOjDLO6OWyiExE/APZUhPOzwVbOErs0MuvIHpcdBZxPGtuNiL1AeWx3FGlsN40HL6X6jLO9KcPMzCocOHCAX/7ylwBIOgY4D/gxhz4xWPkk4RXp6aupwL40/LQaOE/S8elC9TxgdVr2qqSpqcf9Cqo/legnCa0h+nuPTiPHdnva107MzOwQu3bt4tOf/jRk3632JPDtiHhE0lPAckmzgZ8Bl6RNVpENcXWS3R7wWYCI2CPpFrIpEgBuLt+YDHyBt29BeDi9AOb1UIZZ3Qz4ZuRGj+3WMtSzyNZSlBvUyuZO7KZtRHPfpFZN0Y6zWb2dcsop/OhHP0LS5vyThBGxm2yeqEOk3vU51fYVEYuBxVXiG4DTqsSrlmFWT/1NdHZJGhURO/swttteES/Ri7HdPpTxDkM9i2wtRblBrWxWx0rmTuzmkgLVGYp3nM3MrL76O2FgI8d2eyrDzMzM7BC9ebz8PrLemBMldZE9PdXTuGs9xnarlmFmZmZW6bCJTkRc2sOihozt1irDzMzMLM/fdWVmZmYty4mOmZmZtSwnOmZmZtaynOiYmZlZy3KiY2ZmZi3LiY6ZmZm1LCc6ZmZm1rKc6JiZmVnLcqJjZmZmLcuJjpmZmbUsJzpmZmbWspzomJkdISQ9K+mh9H6cpPWSOiXdL+moFD86fe5My8fmtr8hxZ+XdH4uPi3FOiV15OJVyzCrJyc6ZmZHhjZgS+7zbcCCiPggsBeYneKzgb0pviCth6QJwAzgVGAa8A1JwyQNA+4ELgAmAJemdWuVYVY3TnTMKrzyyisAp0j6iaQtks6WdIKkNZK2pp/HAyizMF2xPifpzPJ+JM1M62+VNDMXnyRpY9pmoSSleNUyzAaqq6sL4P3AtyBrt8DHgQfSKkuAi9L76ekzafm5af3pwLKIeD0iXgQ6gbPSqzMiXoiIN4BlwPTDlGFWN8MbXQGzZnP11VcDvBoRv5+62t8DfBF4NCLmpa75DuB6sqvY8ek1BbgLmCLpBOBGYDIQwNOSVkTE3rTO54H1wCqyq+OH0z6rlWE2INdccw1AF/CbFBoJvBIR3elzFzA6vR8NbAeIiG5J+9L6o4F1ud3mt9leEZ9ymDIOIelK4EqAtrY2SqUS+/fvp1Qq9fl3rbci1XPuxIMATV3foTieA0p0JP0V8Gdkf8g3Ap8FRpFl9COBp4E/jYg3JB0NLAUmAbuBP4mIbWk/N5B1aR4E/jIiVqf4NOB2YBjwrYiYl+LjqpUxkN/FDGDfvn384Ac/APgFQGpXb0iaDrSn1ZYAJbIkZDqwNCICWCfpOEmj0rprImIPgKQ1wDRJJeDYiFiX4kvJrnIfTvuqVoZZvz300EOcdNJJAL9qdF16EhGLgEUAkydPjvb2dkqlEu3t7Y2tWC8UqZ7zHz8AwLbL2xtbmRqG4nj2O9GRNBr4S2BCRPxa0nKy8dsLycZkl0n6O7IE5i5y476SZpCN3f5JxbjvbwPfl/R7qZg7gU+SXQk8la6IN/P2uG9lGWYD8uKLL/KBD3yAbdu2jZX0LFkifTXQFhE702ovkd3vALmr36R81Vor3lUlTo0y3lLtyncwFeXqtJq5E7sLXX8YmuN/33338b3vfQ9gItkF4rFkF5DHSRqeelzGADvSJjuAk4EuScPJhrx25+Jl+W2qxXfXKMOsbgY6dDUcGCHpTbLu/Z1kY7KXpeVLgJvIkpDp6T1kY7Z/WznuC7woqTzuC2ncF0BSedx3S40yzAaku7ubZ555BuDnEXGGpNvJhpDeEhEhKYayHj2VUe3KdzAV5eq0mlkdK7ln2jGFrT8MzfEv70/SRuA64LqIuFzSd4CLyZKfmcCDaZMV6fO/puWPpfa4Avi2pK+TXZSOB54EBIxPPe07yC5cL0vbrO2hDLO66XeiExE7JP0f4N+BXwPfI7v6bepx33op2pXl3IndtI1o7rHbagb7OO/Zs4cTTzyRXbt2HUihB8gSnV2SRkXEzjQ09XJa3tNV7g7eHoYqx0spPqbK+tQow2woXA8sk/QV4Fng7hS/G7g3XXTuIUtciIhNqed+M9ANzImIgwCSrgJWk91msDgiNh2mDLO6GcjQ1fFkvTHjgFeA75DdVNk0hvrqt5aiXRnP6ljJ3IndXFKgOsPQHOcFCxawa9euo9PHc8n+sG8muyKdxzuvfq9KPY5TgH0pUVkNfDX35NR5wA0RsUfSq5Kmkt2MfAVwR25f1cowGxQRUSJLuEm95WdVWec14DM9bH8rcGuV+CqyG+sr41XLMKungQxdfQJ4MSJ+DiDpu8BH8LivFdwdd9zBGWeccYqk54AXyG6yfxewXNJs4GfAJWn1VWT3pXWS3ez5WYCU0NwCPJXWu7l8YzLwBeAeYATZTcgPp/i8HsowM7N+Gkii8+/AVEnvIRu6OhfYAPQ0JutxXyuE008/HWBLREyuWHRu5brpaas51fYTEYuBxVXiG4DTqsR3VyvDzMz6r98TBkbEerL7F54he7T8XWTDRNcD16bx3ZEcOu47MsWvJd3gmcZyy+O+j5DGfVNvTXncdwuwvGLct1oZZmZmZm8Z0FNXEXEj2aRoeR73NTMzs6bgr4AwMzOzluVEx8zMzFqWEx0zMzNrWU50zMzMrGU50TEzM7OW5UTHzMzMWpYTHTMzM2tZTnTMzMysZTnRMTMzs5blRMfMzMxalhMdMzMza1lOdMzMWthrr73GWWedBTBB0iZJXwaQNE7Sekmdku6XdFSKH50+d6blY8v7knRDij8v6fxcfFqKdUrqyMWrlmFWT050zMxa2NFHH81jjz0GsBk4HZgmaSpwG7AgIj4I7AVmp01mA3tTfEFaD0kTgBnAqcA04BuShkkaBtwJXABMAC5N61KjDLO6caJjZtbCJPHe9763/PHd6RXAx4EHUnwJcFF6Pz19Ji0/V5JSfFlEvB4RLwKdwFnp1RkRL0TEG8AyYHrapqcyzOpmQImOpOMkPSDpJ5K2SDpb0gmS1kjamn4en9aVpIWpC/M5SWfm9jMzrb9V0sxcfJKkjWmbhenEoacyzOzItnHHvkZXoSkdPHgQst6Wl4E1wE+BVyKiO63SBYxO70cD2wHS8n3AyHy8Ypue4iNrlGFWN8MHuP3twCMRcXEae30P8EXg0YiYl8ZqO4Drybo1x6fXFOAuYIqkE4AbgclkVxlPS1oREXvTOp8H1gOryLpLH077rFaGmZlVGDZsGGRDV58A/hn4/YZWqIKkK4ErAdra2iiVSuzfv59SqdTYivVCkeo5d+JBgKau71Acz34nOpLeD3wUmAWQuizfkDQdaE+rLQFKZEnIdGBpRASwLvUGjUrrromIPWm/a8jGkEvAsRGxLsWXknV7Ppz2Va0MMzPrQUS8ImktcDZwnKThqcdlDLAjrbYDOBnokjQceD+wOxcvy29TLb67RhmV9VoELAKYPHlytLe3UyqVaG9vH+ivPOSKVM/5jx8AYNvl7Y2tTA1DcTwH0qMzDvg58PeS/hB4GrgaaIuInWmdl4C29L6v3Z6j0/vKODXKOES1q4R6KUqWXzZ3YjdtI5o706+maMfZrN5+/vOf8+53vxsASSOAT5LdJLwWuJjsnpqZwINpkxXp87+m5Y9FREhaAXxb0teB3ybrnX8SEDBe0jiyRGYGcFnapqcyzOpmIInOcOBM4C8iYr2k28mGkN6SGnoMpIKHU6uMalcJ9VKULL9sVsdK5k7s5pIC1RmKd5zN6m3nzp3MnDkTsnt0ngKWR8RDkjYDyyR9BXgWuDttcjdwr6ROYA9Z4kJEbJK0nGwIrBuYExEHASRdBawGhgGLI2JT2tf1PZRhVjcDSXS6gK6IWJ8+P0CW6OySNCoidqahqZfT8p66PXfw9jBUOV5K8TFV1qdGGWZmlvPhD3+YZ599FkmbI2JyOR4RL5A9MXWIiHgN+Ey1fUXErcCtVeKryO6jrIxXLcOsnvr91FVEvARsl/ShFDqXLNMvd3vCO7tDr0hPX00F9qXhp9XAeZKOT09PnQesTstelTQ1PW11Be/sWq0sw2zAyk+oSHoIPLGamVmRDXQenb8A/lHSc2QTUX0VmAd8UtJWsjv856V1VwEvkM298E3gCwDpJuRbyLpUnwJuLt+YnNb5Vtrmp2Q3IlOjDLMBu/322wF+nQt5YjUzs4Ia0OPlEfFDssfCK51bZd0A5vSwn8XA4irxDcBpVeK7q5VhNlBdXV2sXLkS4BeQzf9ENunZZWmVJcBNZFMfTE/vIRu6/dvKidWAF9O9DuXu+87UnY+k8sRqW2qUYWY2qMZ2rGTbvD9udDXqxjMjm+Vcc801fO1rX8uHak165onVzMya3EAnDDRrGQ899BAnnXQSkyZNanRVejTUUyYU+XH9ok6RkFfk42/WrJzomCVPPPEEK1asYNWqVQCnkD0leDtNPrHaYCry4/pFnSIhr8jH36xZeejKLPnrv/5rurq62LZtG2Q3zj8WEZfz9sRqUH1iNchNrJbiM9JTWeN4e2K1p0gTq6WnqmYAK9I2PZVhZmYD4ETH7PCuB65NNxWP5NCJ1Uam+LWkCTPTZGnlidUeIU2slnpryhOrbSGbuG3TYcowM7MB8NCVWXW/jIhPgSdWMzMrMvfomJmZWctyomNmZmYty4mOmZmZtSwnOmZmZtaynOiYmZlZy3KiY2ZmZi3LiY6ZWQvbvn07H/vYxwBOlbRJ0tUAkk6QtEbS1vTz+BSXpIWSOiU9J+nM8r4kzUzrb5U0MxefJGlj2mZh+nLbHsswqycnOmZmLWz48OHMnz8fYBMwFZgjaQLZBJePRsR44NH0GeACstm8x5N9r9pdkCUtwI3AFLI5n27MJS53AZ/PbTctxXsqw6xuBpzoSBom6VlJD6XP4yStT5n9/Wmqe9J0+Pen+HpJY3P7uCHFn5d0fi4+LcU6JXXk4lXLMDOzQ40aNYozz8w6ZSLil2Szco8GpgNL0mpLgIvS++nA0sisI/setlHA+cCaiNgTEXuBNcC0tOzYiFiXvs5kacW+qpVhVjeD0aNzNdmJU3YbsCAiPgjsBWan+Gxgb4ovSOuRrixmAKeSXQV8IyVPw4A7ya4uJgCXpnVrlWFmZj1IF5hnAOuBtojYmRa9BLSl96OB7bnNulKsVryrSpwaZZjVzYC+AkLSGOCPyaa6vzaNy34cuCytsgS4iaxbc3p6D/AA8Ldp/enAsoh4HXgxfddPeSr8zjQ1PpKWAdMlbalRhpmZVfcu4J+AayLi1XQbDQAREZJiKAuvVYakK8mGyWhra6NUKrF//35KpdJQVmlQFKmecycefOtzs9Z5KI7nQL/r6m+A/wm8L30eCbySvrwQDs3s37oaiIhuSfvS+qOBdbl95repvHqYcpgyDlHt5KmXojT+srkTu2kb0byNvydFO85mjfDmm28C/C7w5Yj4bgrvkjQqInam4aeXU3wHcHJu8zEptgNor4iXUnxMlfVrlXGIiFgELAKYPHlytLe3UyqVaG9vr7Z6UylSPec/fuCtz9sub29cZWoYiuPZ70RH0qeAlyPiaUntg1elwVPt5KmXojT+slkdK5k7sZtLClRnKN5xNqu3iGD27NkAr0XE13OLVgAzgXnp54O5+FWpF30KsC8lKquBr+ZuQD4PuCEi9kh6VdJUsiGxK4A7DlOGWd0MpEfnI8B/kXQh8FvAscDtZDeuDU89LvnMvnyV0CVpOPB+YDc9Xz3QQ3x3jTLMzCzniSee4N577wV4n6QfpvAXyZKP5ZJmAz8DLknLVgEXAp3Ar4DPAqSE5hbgqbTezRGxJ73/AnAPMAJ4OL2oUYZZ3fQ70YmIG4AbAFKPznURcbmk7wAXA8t451XCTOBf0/LH0pjtCuDbkr4O/DbZo4lPAgLGSxpHlsjMAC5L26ztoQwzM8s555xziAgkbY6IyRWLz61cPz05NafaviJiMbC4SnwDcFqV+O5qZZjV01DMo3M92Y3JnWT309yd4ncDI1P8WtJ8ChGxCVgObAYeAeZExMHUW3MVsJrsqa7lad1aZZiZmZm9ZaA3IwMQESWym9JIT0mdVWWd14DP9LD9rWRPblXGV5F1o1bGq5ZhZmZmlueZkc3MzKxlOdExMzOzluVEx8zMzFqWEx0zMzNrWU50zMzMrGU50TEzM7OW5UTHLGf79u187GMfAzhV0iZJVwNIOkHSGklb08/jU1ySFkrqlPScpDPL+5I0M62/VdLMXHySpI1pm4Xpy217LMPMzPrPiY5ZzvDhw5k/fz7AJmAqMEfSBLIJLh+NiPHAo+kzwAVks3mPJ/sC2bsgS1qAG8m+K+gs4MZc4nIX8PncdtNSvKcyzMysn5zomOWMGjWKM8/MOmUi4pdks3KPBqYDS9JqS4CL0vvpwNLIrCP7HrZRwPnAmojYExF7gTXAtLTs2IhYl6baX1qxr2plmJlZPw3KzMhmrUjSWOAMsm9kbouInWnRS0Bbej8a2J7brCvFasW7qsSpUUa+TleS9RzR1tZGqVTq+y9Ww/79+wd9n/Uyd2I3bSMobP2h2MffrFk50TGr7l3APwHXRMSr6TYaIPvSQ0kxlIX3VEZELAIWAUyePDna29sHtdxSqcRg77NeZnWsZO7Ebi4paP2h2MffrFl56Mqswptvvgnwu8A/RsR3U3hXGnYi/Xw5xXcAJ+c2H5NiteJjqsRrlWFmZv3kRMcsJyKYPXs2wGsR8fXcohVA+cmpmcCDufgV6emrqcC+NPy0GjhP0vHpJuTzgNVp2auSpqanra6o2Fe1MszMrJ+c6JjlPPHEE9x7770A75P0w/S6EJgHfFLSVuAT6TPAKuAFoBP4JvAFgIjYA9wCPJVeN6cYaZ1vpW1+Cjyc4j2VYdZvn/vc5zjppJMATi3HPF2CHUn6nehIOlnSWkmbPd+ItYpzzjmH7GEoNkfE6em1KiJ2R8S5ETE+Ij5RTlrS01ZzIuJ3I2JiRGwo7ysiFkfEB9Pr73PxDRFxWtrmqvT0FT2VYTYQs2bN4pFHHqkMe7oEO2IMpEenG5gbERPwfCNmZk3pox/9KCeccEJl2NMlWI/GdqxkbMfKRldj0PQ70YmInRHxTHrv+UbMzIqjKaZLsObWKsnOoDxe3ozzjZiZ2eE1crqEsmrzQxVlTqEi1XPuxINvfa5V57kTu3u13lAYiuM54ERH0ntpwvlGUt2GdHK1WorS+MuKOtla0Y6zWZPYJWlUROzsw3QJ7RXxEr2YLqFKGe9QbX6ooswpVKR6zn/8wFuft13e3uO6s3I9ObXWGwpDcTwHlOhIejdZkvOO+Uaa4QQa6snVailK4y8r6mRrRTvOZk2iPJXBPN45XcJVkpaR3Te5L/2dXQ18NXf/5HnADRGxR9KraWqF9WTTJdxxmDLM6mogT10JuBvY4vlGzMya06WXXsrZZ58NcLSkLkmz8XQJdgQZSI/OR4A/BTZK+mGKfZGsMS9PJ9PPgEvSslXAhWQnw6+Az0J2Akkqn0DwzhPoHmAE2cmTP4GqlWFmZjn33XcfAJKeiYjJuUXnVq6bHvyYU20/EbEYWFwlvgE4rUp8d7UyzOqt34lORDwOqIfFPoHMzMwKplWetMrzzMhmZmbWspzomJmZWVWt0MPjRMfMzMxaIqmpxomOmZmZtSwnOnaIVs3ozczsyOREx5zcmJkd4Vr5/wEnOmZmZtayBuVLPc3MGqWVr0TNbODco2NmLcWJj5nlOdExMzOzluVEx8zMzFqWEx0zM7Mj1NiOlYcd7i36cLATHTMzM2tZTnSOcNUy9aJn72ZmdnhHyt/6wiY6kqZJel5Sp6SORtfHbDC4XfdNT3+oe9Mdb/XhNt2c+np+FPmcKuQ8OpKGAXcCnwS6gKckrYiIzY2tmVn/uV1bq3Gbbj29SXa2zfvjOtSk94rao3MW0BkRL0TEG8AyYHqD61Q4tRpsUTP3gnO77oPetFG344Zzm26gRvXCNNt5V8geHWA0sD33uQuY0qC6NL3+Nrqetmu2bL2FuF33YCB/OKtt6zZcN27Tg6w/58LYjpXMndhNPf/Lb6bzrqiJTq9IuhK4Mn3cL+n5OhZ/IvCLOpY3YH/ZyzrrtjpUpveG6jj/xyHY54DVoU0Xrt3mFbQN5w3l8W/KNg09tuuitMVC1LO358ZQ6uV515d69qpNFzXR2QGcnPs8JsUOERGLgEX1qlSepA0RMbkRZfeX69xwh23XQ92mi348Xf+m0++/1UU5Fq7n4BqKehb1Hp2ngPGSxkk6CpgBrGhwncwGyu3aWo3btDVcIXt0IqJb0lXAamAYsDgiNjW4WmYD4nZtrcZt2ppBIRMdgIhYBaxqdD1qaMiQ2QC5zg3WBO266MfT9W8yA2jTRTkWrufgGvR6KiIGe59mZmZmTaGo9+iYmZmZHZYTnQGSdJOkHZJ+mF4X5pbdkKY9f17S+bl4002J3ox1KpO0TdLGdHw3pNgJktZI2pp+Hp/ikrQw/R7PSTqzsbVvTq3SbsuauW55bssZSZ+RtEnSbyRNrljWp/aXbnRen+L3p5ueh6LOhT1nmqUeufrU9zyICL8G8AJuAq6rEp8A/Ag4GhgH/JTsZrxh6f0pwFFpnQkN/h2ark4V9dsGnFgR+xrQkd53ALel9xcCDwMCpgLrG13/Zny1QrvN1blp61alrm7L2e/2B8CHgBIweSDtD1gOzEjv/w748yGqcyHPmWapR0Wd6noeuEdn6EwHlkXE6xHxItBJNh16M06J3ox1OpzpwJL0fglwUS6+NDLrgOMkjWpEBQuqSO22rJnr1htHXFuOiC0RUW2yyz61P0kCPg48kLbPH796afZzplnqcThDdh440RkcV6UutcXlK+iUKgAAAiBJREFU7jaqT30+uka8kZqxTnkBfE/S08pmUAVoi4id6f1LQFt63+y/SzMpersta+a6VXJbrq2v7W8k8EpEdFfEh0oRz5lmqUdeXc+Dwj5eXk+Svg/8hyqLvgTcBdxC9g93CzAf+Fz9andEOCcidkg6CVgj6Sf5hRERkvz4YAW326Z0xLTlWu0vIh6sd316w+dM3dT1PHCi0wsR8YnerCfpm8BD6WOtqc8POyV6nfVqmvZGiYgd6efLkv6ZrCt2l6RREbEzdWO+nFZv6t+lno6AdltWmH/zI6kt97b9Vehr+9tNNpQxPPXqDOgYteg503TtqN7ngYeuBqhirPDTwI/T+xXADElHSxoHjAeepDmnRG/GOgEg6RhJ7yu/B84jO8YrgJlptZlA+QpxBXBFulN/KrAv1x1qSYu027Jmrttb3JZ7pU/tL7K7VdcCF6ft88dvUBX4nGmWegANOg8aeed1K7yAe4GNwHPpH2RUbtmXyO52fx64IBe/EPi3tOxLjf4dmrVOqV6nkD0l8CNgU7luZGPzjwJbge8DJ6S4gDvT77GR3BMdfh1yXFui3Rahbrk6ui2/fSw+TXavxevALmB1f9tfOq5Pkt0E/B3g6CGqc2HPmWapR+7fq67ngWdGNjMzs5bloSszMzNrWU50zMzMrGU50TEzM7OW5UTHzMzMWpYTHTMzM2tZTnTMzMysZTnRMTMzs5blRMfMzMxa1v8H51Gm+jgi2A8AAAAASUVORK5CYII=\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"Values in the MST are repeated surprisingly frequently.\nBelow is how often a value is repeated once, twice, three times, etc. for each column.\nNot that a value repeated twice gets counted only once!\n\nA ZY value gets repeated 10,868 times? Wow."},{"metadata":{"trusted":true},"cell_type":"code","source":"mst_repeats = pd.concat([df_mst[c].value_counts().value_counts() for c in mst_elems], axis=1).fillna(0).astype(int)\nmst_repeats.T","execution_count":71,"outputs":[{"output_type":"execute_result","execution_count":71,"data":{"text/plain":"     1      2      3      4      5      ...    4231   6395   7825   8842   10868\nXX  287035  66677  36597  26730  20931  ...        0      0      0      0      0\nXY  331858  86863  32870  16466  10406  ...        0      0      0      0      0\nXZ  269812  69520  28404  15194  10369  ...        0      1      0      0      0\nYX  333387  85510  32736  16681  11225  ...        0      0      0      0      0\nYY  291003  62317  35732  29465  25035  ...        0      0      0      0      0\nYZ  249939  63418  26097  14281  10427  ...        0      0      1      0      0\nZX  263139  67463  27949  15940  11623  ...        0      0      0      1      0\nZY  242559  61678  25904  14984  10942  ...        1      0      0      0      1\nZZ  228118  64328  37774  31848  29022  ...        0      0      0      0      0\n\n[9 rows x 506 columns]","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>1</th>\n      <th>2</th>\n      <th>3</th>\n      <th>4</th>\n      <th>5</th>\n      <th>6</th>\n      <th>7</th>\n      <th>8</th>\n      <th>9</th>\n      <th>10</th>\n      <th>11</th>\n      <th>12</th>\n      <th>13</th>\n      <th>14</th>\n      <th>15</th>\n      <th>16</th>\n      <th>17</th>\n      <th>18</th>\n      <th>19</th>\n      <th>20</th>\n      <th>21</th>\n      <th>22</th>\n      <th>23</th>\n      <th>24</th>\n      <th>25</th>\n      <th>26</th>\n      <th>27</th>\n      <th>28</th>\n      <th>29</th>\n      <th>30</th>\n      <th>31</th>\n      <th>32</th>\n      <th>33</th>\n      <th>34</th>\n      <th>35</th>\n      <th>36</th>\n      <th>37</th>\n      <th>38</th>\n      <th>39</th>\n      <th>40</th>\n      <th>...</th>\n      <th>1315</th>\n      <th>1328</th>\n      <th>1332</th>\n      <th>1429</th>\n      <th>1447</th>\n      <th>1463</th>\n      <th>1497</th>\n      <th>1512</th>\n      <th>1546</th>\n      <th>1577</th>\n      <th>1635</th>\n      <th>1690</th>\n      <th>1722</th>\n      <th>1759</th>\n      <th>1769</th>\n      <th>1830</th>\n      <th>1970</th>\n      <th>1991</th>\n      <th>2017</th>\n      <th>2050</th>\n      <th>2149</th>\n      <th>2255</th>\n      <th>2262</th>\n      <th>2296</th>\n      <th>2559</th>\n      <th>2609</th>\n      <th>2699</th>\n      <th>2724</th>\n      <th>2945</th>\n      <th>2993</th>\n      <th>3276</th>\n      <th>3508</th>\n      <th>3540</th>\n      <th>3544</th>\n      <th>4216</th>\n      <th>4231</th>\n      <th>6395</th>\n      <th>7825</th>\n      <th>8842</th>\n      <th>10868</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>XX</th>\n      <td>287035</td>\n      <td>66677</td>\n      <td>36597</td>\n      <td>26730</td>\n      <td>20931</td>\n      <td>17383</td>\n      <td>14432</td>\n      <td>11721</td>\n      <td>9912</td>\n      <td>8144</td>\n      <td>6571</td>\n      <td>5225</td>\n      <td>4022</td>\n      <td>2899</td>\n      <td>2057</td>\n      <td>1429</td>\n      <td>899</td>\n      <td>594</td>\n      <td>344</td>\n      <td>175</td>\n      <td>100</td>\n      <td>47</td>\n      <td>33</td>\n      <td>14</td>\n      <td>4</td>\n      <td>4</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>...</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <th>XY</th>\n      <td>331858</td>\n      <td>86863</td>\n      <td>32870</td>\n      <td>16466</td>\n      <td>10406</td>\n      <td>8081</td>\n      <td>6977</td>\n      <td>6194</td>\n      <td>5570</td>\n      <td>5303</td>\n      <td>4916</td>\n      <td>4548</td>\n      <td>4205</td>\n      <td>3891</td>\n      <td>3490</td>\n      <td>3036</td>\n      <td>2551</td>\n      <td>2138</td>\n      <td>1891</td>\n      <td>1445</td>\n      <td>1083</td>\n      <td>822</td>\n      <td>566</td>\n      <td>383</td>\n      <td>297</td>\n      <td>188</td>\n      <td>147</td>\n      <td>85</td>\n      <td>46</td>\n      <td>26</td>\n      <td>13</td>\n      <td>13</td>\n      <td>5</td>\n      <td>8</td>\n      <td>8</td>\n      <td>4</td>\n      <td>6</td>\n      <td>7</td>\n      <td>3</td>\n      <td>1</td>\n      <td>...</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <th>XZ</th>\n      <td>269812</td>\n      <td>69520</td>\n      <td>28404</td>\n      <td>15194</td>\n      <td>10369</td>\n      <td>8464</td>\n      <td>7437</td>\n      <td>6741</td>\n      <td>6196</td>\n      <td>5383</td>\n      <td>4950</td>\n      <td>4588</td>\n      <td>4120</td>\n      <td>3562</td>\n      <td>3116</td>\n      <td>2734</td>\n      <td>2367</td>\n      <td>2007</td>\n      <td>1552</td>\n      <td>1310</td>\n      <td>1086</td>\n      <td>814</td>\n      <td>663</td>\n      <td>478</td>\n      <td>350</td>\n      <td>274</td>\n      <td>222</td>\n      <td>174</td>\n      <td>127</td>\n      <td>115</td>\n      <td>91</td>\n      <td>78</td>\n      <td>56</td>\n      <td>50</td>\n      <td>43</td>\n      <td>55</td>\n      <td>38</td>\n      <td>37</td>\n      <td>33</td>\n      <td>37</td>\n      <td>...</td>\n      <td>1</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <th>YX</th>\n      <td>333387</td>\n      <td>85510</td>\n      <td>32736</td>\n      <td>16681</td>\n      <td>11225</td>\n      <td>8730</td>\n      <td>7397</td>\n      <td>6525</td>\n      <td>5946</td>\n      <td>5559</td>\n      <td>5209</td>\n      <td>4936</td>\n      <td>4489</td>\n      <td>4011</td>\n      <td>3585</td>\n      <td>2998</td>\n      <td>2567</td>\n      <td>1997</td>\n      <td>1614</td>\n      <td>1236</td>\n      <td>866</td>\n      <td>654</td>\n      <td>441</td>\n      <td>286</td>\n      <td>203</td>\n      <td>121</td>\n      <td>85</td>\n      <td>53</td>\n      <td>38</td>\n      <td>22</td>\n      <td>13</td>\n      <td>16</td>\n      <td>7</td>\n      <td>6</td>\n      <td>3</td>\n      <td>4</td>\n      <td>2</td>\n      <td>1</td>\n      <td>1</td>\n      <td>4</td>\n      <td>...</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <th>YY</th>\n      <td>291003</td>\n      <td>62317</td>\n      <td>35732</td>\n      <td>29465</td>\n      <td>25035</td>\n      <td>21038</td>\n      <td>17110</td>\n      <td>13690</td>\n      <td>10806</td>\n      <td>8125</td>\n      <td>6073</td>\n      <td>4313</td>\n      <td>2974</td>\n      <td>1961</td>\n      <td>1285</td>\n      <td>767</td>\n      <td>455</td>\n      <td>243</td>\n      <td>137</td>\n      <td>64</td>\n      <td>28</td>\n      <td>17</td>\n      <td>13</td>\n      <td>5</td>\n      <td>1</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>...</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <th>YZ</th>\n      <td>249939</td>\n      <td>63418</td>\n      <td>26097</td>\n      <td>14281</td>\n      <td>10427</td>\n      <td>9268</td>\n      <td>9000</td>\n      <td>8820</td>\n      <td>8733</td>\n      <td>8091</td>\n      <td>7069</td>\n      <td>6032</td>\n      <td>5114</td>\n      <td>4111</td>\n      <td>3234</td>\n      <td>2463</td>\n      <td>1917</td>\n      <td>1372</td>\n      <td>1020</td>\n      <td>712</td>\n      <td>546</td>\n      <td>382</td>\n      <td>289</td>\n      <td>217</td>\n      <td>175</td>\n      <td>115</td>\n      <td>97</td>\n      <td>81</td>\n      <td>66</td>\n      <td>65</td>\n      <td>42</td>\n      <td>54</td>\n      <td>33</td>\n      <td>39</td>\n      <td>31</td>\n      <td>28</td>\n      <td>25</td>\n      <td>18</td>\n      <td>19</td>\n      <td>30</td>\n      <td>...</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <th>ZX</th>\n      <td>263139</td>\n      <td>67463</td>\n      <td>27949</td>\n      <td>15940</td>\n      <td>11623</td>\n      <td>9372</td>\n      <td>8428</td>\n      <td>7325</td>\n      <td>6542</td>\n      <td>5709</td>\n      <td>4950</td>\n      <td>4389</td>\n      <td>3901</td>\n      <td>3331</td>\n      <td>2904</td>\n      <td>2555</td>\n      <td>2149</td>\n      <td>1802</td>\n      <td>1534</td>\n      <td>1325</td>\n      <td>995</td>\n      <td>827</td>\n      <td>645</td>\n      <td>426</td>\n      <td>356</td>\n      <td>272</td>\n      <td>232</td>\n      <td>187</td>\n      <td>124</td>\n      <td>101</td>\n      <td>76</td>\n      <td>68</td>\n      <td>54</td>\n      <td>52</td>\n      <td>27</td>\n      <td>55</td>\n      <td>34</td>\n      <td>27</td>\n      <td>39</td>\n      <td>37</td>\n      <td>...</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <th>ZY</th>\n      <td>242559</td>\n      <td>61678</td>\n      <td>25904</td>\n      <td>14984</td>\n      <td>10942</td>\n      <td>9670</td>\n      <td>9487</td>\n      <td>9317</td>\n      <td>8732</td>\n      <td>7886</td>\n      <td>6976</td>\n      <td>6055</td>\n      <td>4925</td>\n      <td>4063</td>\n      <td>2999</td>\n      <td>2370</td>\n      <td>1869</td>\n      <td>1329</td>\n      <td>1034</td>\n      <td>785</td>\n      <td>554</td>\n      <td>411</td>\n      <td>292</td>\n      <td>255</td>\n      <td>169</td>\n      <td>135</td>\n      <td>105</td>\n      <td>80</td>\n      <td>59</td>\n      <td>46</td>\n      <td>41</td>\n      <td>48</td>\n      <td>38</td>\n      <td>34</td>\n      <td>37</td>\n      <td>33</td>\n      <td>23</td>\n      <td>19</td>\n      <td>18</td>\n      <td>17</td>\n      <td>...</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>ZZ</th>\n      <td>228118</td>\n      <td>64328</td>\n      <td>37774</td>\n      <td>31848</td>\n      <td>29022</td>\n      <td>25278</td>\n      <td>21343</td>\n      <td>16506</td>\n      <td>12261</td>\n      <td>8604</td>\n      <td>5494</td>\n      <td>3415</td>\n      <td>1987</td>\n      <td>1087</td>\n      <td>600</td>\n      <td>312</td>\n      <td>156</td>\n      <td>76</td>\n      <td>30</td>\n      <td>14</td>\n      <td>3</td>\n      <td>1</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>...</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"## Mulliken Charge <a id=\"mc\"></a>"},{"metadata":{"trusted":true},"cell_type":"code","source":"df_mc.head()","execution_count":156,"outputs":[{"output_type":"execute_result","execution_count":156,"data":{"text/plain":"      molecule_name  atom_index  mulliken_charge\n0  dsgdb9nsd_000001           0        -0.535689\n1  dsgdb9nsd_000001           1         0.133921\n2  dsgdb9nsd_000001           2         0.133922\n3  dsgdb9nsd_000001           3         0.133923\n4  dsgdb9nsd_000001           4         0.133923","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>molecule_name</th>\n      <th>atom_index</th>\n      <th>mulliken_charge</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>dsgdb9nsd_000001</td>\n      <td>0</td>\n      <td>-0.535689</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>dsgdb9nsd_000001</td>\n      <td>1</td>\n      <td>0.133921</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>dsgdb9nsd_000001</td>\n      <td>2</td>\n      <td>0.133922</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>dsgdb9nsd_000001</td>\n      <td>3</td>\n      <td>0.133923</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>dsgdb9nsd_000001</td>\n      <td>4</td>\n      <td>0.133923</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"plt.figure()\ndf_mc['mulliken_charge'].hist(bins=100)","execution_count":19,"outputs":[{"output_type":"execute_result","execution_count":19,"data":{"text/plain":"<matplotlib.axes._subplots.AxesSubplot at 0x7f288e4517f0>"},"metadata":{}},{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"atom_mc = df_mc.merge(df_structure, how='left', on=['molecule_name', 'atom_index'])","execution_count":20,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"fig, axs = plt.subplots(1, 5, figsize=(25, 5))\nfor c, ax in zip(atom_counts.columns, axs):\n    df_atom = atom_mc[atom_mc['atom'] == c]\n    ax.hist(df_atom['mulliken_charge'], bins=100)\n    ax.set_title(c)","execution_count":21,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1800x360 with 5 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"Lots of exactly repeated values in here for muliken_charge as well!"},{"metadata":{"trusted":true},"cell_type":"code","source":"mc_repeats = atom_mc['mulliken_charge'].value_counts().value_counts()\npd.DataFrame(mc_repeats).T","execution_count":70,"outputs":[{"output_type":"execute_result","execution_count":70,"data":{"text/plain":"                     1       2      3      4      5  ...  29  30  33  31  39\nmulliken_charge  310494  140878  57073  23500  11308 ...   7   2   1   1   1\n\n[1 rows x 33 columns]","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>1</th>\n      <th>2</th>\n      <th>3</th>\n      <th>4</th>\n      <th>5</th>\n      <th>6</th>\n      <th>7</th>\n      <th>8</th>\n      <th>9</th>\n      <th>10</th>\n      <th>11</th>\n      <th>12</th>\n      <th>13</th>\n      <th>14</th>\n      <th>15</th>\n      <th>16</th>\n      <th>17</th>\n      <th>18</th>\n      <th>19</th>\n      <th>20</th>\n      <th>21</th>\n      <th>22</th>\n      <th>23</th>\n      <th>24</th>\n      <th>25</th>\n      <th>26</th>\n      <th>27</th>\n      <th>28</th>\n      <th>29</th>\n      <th>30</th>\n      <th>33</th>\n      <th>31</th>\n      <th>39</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>mulliken_charge</th>\n      <td>310494</td>\n      <td>140878</td>\n      <td>57073</td>\n      <td>23500</td>\n      <td>11308</td>\n      <td>7362</td>\n      <td>5911</td>\n      <td>5392</td>\n      <td>5093</td>\n      <td>4889</td>\n      <td>4550</td>\n      <td>4173</td>\n      <td>3619</td>\n      <td>3334</td>\n      <td>2785</td>\n      <td>2350</td>\n      <td>1759</td>\n      <td>1446</td>\n      <td>1005</td>\n      <td>754</td>\n      <td>535</td>\n      <td>366</td>\n      <td>226</td>\n      <td>145</td>\n      <td>72</td>\n      <td>60</td>\n      <td>25</td>\n      <td>15</td>\n      <td>7</td>\n      <td>2</td>\n      <td>1</td>\n      <td>1</td>\n      <td>1</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"## Dipole Moments <a id=\"dipole\"></a>"},{"metadata":{"trusted":true},"cell_type":"code","source":"df_dp.head()","execution_count":157,"outputs":[{"output_type":"execute_result","execution_count":157,"data":{"text/plain":"      molecule_name       X    Y       Z\n0  dsgdb9nsd_000001  0.0000  0.0  0.0000\n1  dsgdb9nsd_000002 -0.0002  0.0  1.6256\n2  dsgdb9nsd_000003  0.0000  0.0 -1.8511\n3  dsgdb9nsd_000005  0.0000  0.0 -2.8937\n4  dsgdb9nsd_000007  0.0000  0.0  0.0000","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>molecule_name</th>\n      <th>X</th>\n      <th>Y</th>\n      <th>Z</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>dsgdb9nsd_000001</td>\n      <td>0.0000</td>\n      <td>0.0</td>\n      <td>0.0000</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>dsgdb9nsd_000002</td>\n      <td>-0.0002</td>\n      <td>0.0</td>\n      <td>1.6256</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>dsgdb9nsd_000003</td>\n      <td>0.0000</td>\n      <td>0.0</td>\n      <td>-1.8511</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>dsgdb9nsd_000005</td>\n      <td>0.0000</td>\n      <td>0.0</td>\n      <td>-2.8937</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>dsgdb9nsd_000007</td>\n      <td>0.0000</td>\n      <td>0.0</td>\n      <td>0.0000</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"df_dp[['X', 'Y', 'Z']].hist(bins=200, figsize=(21, 7), layout=(1,3))\nplt.suptitle('Dipole XYZ Component Distributions')\nplt.show()","execution_count":43,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1512x504 with 3 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"pd.DataFrame((df_dp[['X', 'Y', 'Z']] == 0.0).sum(axis=1).value_counts(), columns=['Zero Components'])","execution_count":47,"outputs":[{"output_type":"execute_result","execution_count":47,"data":{"text/plain":"   Zero Components\n0            81182\n1             3519\n2              274\n3               28","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>Zero Components</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>81182</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>3519</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>274</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>28</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"Components scattered. No correlation. We can see that X is oddly narrower, they all have strange zero bands ,and Z in particular."},{"metadata":{"trusted":true},"cell_type":"code","source":"fig, axs = plt.subplots(1, 3, figsize=(21, 7))\naxs[0].scatter(df_dp['X'], df_dp['Y'], alpha=0.01)\naxs[1].scatter(df_dp['X'], df_dp['Z'], alpha=0.01)\naxs[2].scatter(df_dp['Y'], df_dp['Z'], alpha=0.01)\naxs[0].set_title('XY')\naxs[1].set_title('XZ')\naxs[2].set_title('YZ')\nplt.title('Dipole Moment Components Scattered')\nplt.show()","execution_count":69,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1512x504 with 3 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"df_dp[['X', 'Y', 'Z']].apply(np.linalg.norm, axis='columns').hist(bins=100, figsize=(7,7))\nplt.title('L2 Norm of Dipole Moment Distribution')\nplt.show()","execution_count":51,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 504x504 with 1 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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"Repetition in values of the XYZ components. Why?!"},{"metadata":{"trusted":true},"cell_type":"code","source":"pd.concat([df_dp[d].value_counts().value_counts() for d in ['X', 'Y', 'Z']], axis=1).fillna(0).astype(int).T","execution_count":62,"outputs":[{"output_type":"execute_result","execution_count":62,"data":{"text/plain":"    1      2     3     4     5     ...   604   730   1013  1031  2560\nX  31840  13185  4969  1718   540  ...      0     0     0     0     0\nY  25241  12186  5760  2330   853  ...      0     0     0     1     0\nZ  15114   8878  5259  2993  1442  ...      1     1     1     0     1\n\n[3 rows x 72 columns]","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>1</th>\n      <th>2</th>\n      <th>3</th>\n      <th>4</th>\n      <th>5</th>\n      <th>6</th>\n      <th>7</th>\n      <th>8</th>\n      <th>9</th>\n      <th>10</th>\n      <th>11</th>\n      <th>12</th>\n      <th>13</th>\n      <th>14</th>\n      <th>15</th>\n      <th>16</th>\n      <th>17</th>\n      <th>18</th>\n      <th>19</th>\n      <th>21</th>\n      <th>22</th>\n      <th>23</th>\n      <th>24</th>\n      <th>25</th>\n      <th>26</th>\n      <th>27</th>\n      <th>28</th>\n      <th>29</th>\n      <th>31</th>\n      <th>33</th>\n      <th>34</th>\n      <th>35</th>\n      <th>39</th>\n      <th>40</th>\n      <th>41</th>\n      <th>45</th>\n      <th>47</th>\n      <th>48</th>\n      <th>54</th>\n      <th>55</th>\n      <th>57</th>\n      <th>59</th>\n      <th>60</th>\n      <th>61</th>\n      <th>62</th>\n      <th>64</th>\n      <th>66</th>\n      <th>69</th>\n      <th>75</th>\n      <th>81</th>\n      <th>92</th>\n      <th>98</th>\n      <th>118</th>\n      <th>119</th>\n      <th>120</th>\n      <th>132</th>\n      <th>137</th>\n      <th>147</th>\n      <th>163</th>\n      <th>206</th>\n      <th>216</th>\n      <th>270</th>\n      <th>285</th>\n      <th>338</th>\n      <th>406</th>\n      <th>414</th>\n      <th>560</th>\n      <th>604</th>\n      <th>730</th>\n      <th>1013</th>\n      <th>1031</th>\n      <th>2560</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>X</th>\n      <td>31840</td>\n      <td>13185</td>\n      <td>4969</td>\n      <td>1718</td>\n      <td>540</td>\n      <td>163</td>\n      <td>47</td>\n      <td>17</td>\n      <td>3</td>\n      <td>1</td>\n      <td>1</td>\n      <td>1</td>\n      <td>1</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <th>Y</th>\n      <td>25241</td>\n      <td>12186</td>\n      <td>5760</td>\n      <td>2330</td>\n      <td>853</td>\n      <td>294</td>\n      <td>95</td>\n      <td>33</td>\n      <td>12</td>\n      <td>2</td>\n      <td>1</td>\n      <td>1</td>\n      <td>1</td>\n      <td>0</td>\n      <td>2</td>\n      <td>1</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>2</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <th>Z</th>\n      <td>15114</td>\n      <td>8878</td>\n      <td>5259</td>\n      <td>2993</td>\n      <td>1442</td>\n      <td>666</td>\n      <td>254</td>\n      <td>85</td>\n      <td>52</td>\n      <td>9</td>\n      <td>10</td>\n      <td>7</td>\n      <td>5</td>\n      <td>2</td>\n      <td>8</td>\n      <td>3</td>\n      <td>3</td>\n      <td>0</td>\n      <td>2</td>\n      <td>1</td>\n      <td>2</td>\n      <td>1</td>\n      <td>2</td>\n      <td>2</td>\n      <td>2</td>\n      <td>2</td>\n      <td>1</td>\n      <td>1</td>\n      <td>2</td>\n      <td>0</td>\n      <td>1</td>\n      <td>2</td>\n      <td>1</td>\n      <td>0</td>\n      <td>2</td>\n      <td>1</td>\n      <td>1</td>\n      <td>1</td>\n      <td>1</td>\n      <td>0</td>\n      <td>0</td>\n      <td>0</td>\n      <td>1</td>\n      <td>1</td>\n      <td>2</td>\n      <td>0</td>\n      <td>1</td>\n      <td>1</td>\n      <td>2</td>\n      <td>1</td>\n      <td>1</td>\n      <td>1</td>\n      <td>1</td>\n      <td>2</td>\n      <td>0</td>\n      <td>1</td>\n      <td>0</td>\n      <td>2</td>\n      <td>1</td>\n      <td>1</td>\n      <td>1</td>\n      <td>1</td>\n      <td>1</td>\n      <td>1</td>\n      <td>1</td>\n      <td>1</td>\n      <td>0</td>\n      <td>1</td>\n      <td>1</td>\n      <td>1</td>\n      <td>0</td>\n      <td>1</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"## Potential Energy <a id=\"potential\"></a>"},{"metadata":{"trusted":true},"cell_type":"code","source":"df_pe['potential_energy'].hist(bins=500, figsize=(15,5))\nplt.title('Potential Energy Distribution')\nplt.show()","execution_count":84,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1080x360 with 1 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"Some repetitoin of values in the potential energy data"},{"metadata":{"trusted":true},"cell_type":"code","source":"pd.DataFrame(df_pe['potential_energy'].value_counts().value_counts()).T","execution_count":158,"outputs":[{"output_type":"execute_result","execution_count":158,"data":{"text/plain":"                     1     2     3     4    5    6  ...  9   10  11  12  14  13\npotential_energy  37864  9536  3819  1725  865  430 ...  36  14  12   4   2   2\n\n[1 rows x 14 columns]","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>1</th>\n      <th>2</th>\n      <th>3</th>\n      <th>4</th>\n      <th>5</th>\n      <th>6</th>\n      <th>7</th>\n      <th>8</th>\n      <th>9</th>\n      <th>10</th>\n      <th>11</th>\n      <th>12</th>\n      <th>14</th>\n      <th>13</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>potential_energy</th>\n      <td>37864</td>\n      <td>9536</td>\n      <td>3819</td>\n      <td>1725</td>\n      <td>865</td>\n      <td>430</td>\n      <td>189</td>\n      <td>98</td>\n      <td>36</td>\n      <td>14</td>\n      <td>12</td>\n      <td>4</td>\n      <td>2</td>\n      <td>2</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"# Train vs Test <a id=\"traintest\"></a>"},{"metadata":{"trusted":true},"cell_type":"code","source":"fig, axs = plt.subplots(2, 2, figsize=(12,12))\ndf_train['atom_index_0'].hist(bins=np.arange(df_train['atom_index_0'].max()+1), ax=axs[0, 0])\ndf_train['atom_index_0'].hist(bins=np.arange(df_train['atom_index_1'].max()+1), ax=axs[0, 1])\ndf_test['atom_index_0'].hist(bins=np.arange(df_test['atom_index_0'].max()+1), ax=axs[1, 0])\ndf_test['atom_index_0'].hist(bins=np.arange(df_test['atom_index_1'].max()+1), ax=axs[1, 1])\naxs[0, 0].set_ylabel('Train', rotation=0, size='large')\naxs[1, 0].set_ylabel('Test', rotation=0, size='large')\naxs[0, 0].set_title('atom_index_0')\naxs[0, 1].set_title('atom_index_1')\nplt.suptitle('Atom Index Distribution')\nplt.show()","execution_count":23,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 864x864 with 4 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"num_atoms_test = df_test.merge(pd.DataFrame(num_atoms, columns=['num_atoms']), on='molecule_name', how='left')\nnum_atoms_train = df_train.merge(pd.DataFrame(num_atoms, columns=['num_atoms']), on='molecule_name', how='left')","execution_count":24,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"plt.figure()\nplt.hist(num_atoms_train['num_atoms'], bins=np.arange(30), label='train', density=True, alpha=0.5)\nplt.hist(num_atoms_test['num_atoms'], bins=np.arange(30), label='test', density=True, alpha=0.5)\nplt.legend()\nplt.title('Atoms per Molcule Distribution')\nplt.show()","execution_count":25,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 432x288 with 1 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"type_distribution = pd.concat([\n    df_train['type'].value_counts() / len(df_train),\n    df_test['type'].value_counts() / len(df_test)\n], axis=1)\ntype_distribution.columns = ['train_type_distribution', 'test_type_distribution']\ntype_distribution","execution_count":26,"outputs":[{"output_type":"execute_result","execution_count":26,"data":{"text/plain":"      train_type_distribution  test_type_distribution\n3JHC                 0.324245                0.324081\n2JHC                 0.244877                0.244713\n1JHC                 0.152296                0.151907\n3JHH                 0.126791                0.126693\n2JHH                 0.081156                0.081071\n3JHN                 0.035726                0.036166\n2JHN                 0.025601                0.025713\n1JHN                 0.009309                0.009657","text/html":"<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>train_type_distribution</th>\n      <th>test_type_distribution</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>3JHC</th>\n      <td>0.324245</td>\n      <td>0.324081</td>\n    </tr>\n    <tr>\n      <th>2JHC</th>\n      <td>0.244877</td>\n      <td>0.244713</td>\n    </tr>\n    <tr>\n      <th>1JHC</th>\n      <td>0.152296</td>\n      <td>0.151907</td>\n    </tr>\n    <tr>\n      <th>3JHH</th>\n      <td>0.126791</td>\n      <td>0.126693</td>\n    </tr>\n    <tr>\n      <th>2JHH</th>\n      <td>0.081156</td>\n      <td>0.081071</td>\n    </tr>\n    <tr>\n      <th>3JHN</th>\n      <td>0.035726</td>\n      <td>0.036166</td>\n    </tr>\n    <tr>\n      <th>2JHN</th>\n      <td>0.025601</td>\n      <td>0.025713</td>\n    </tr>\n    <tr>\n      <th>1JHN</th>\n      <td>0.009309</td>\n      <td>0.009657</td>\n    </tr>\n  </tbody>\n</table>\n</div>"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"print('{} rows per molecule in train.'.format(len(df_train) / len(df_train['molecule_name'].unique())))\nprint('{} rows per molecule in test.'.format(len(df_test) / len(df_test['molecule_name'].unique())))","execution_count":27,"outputs":[{"output_type":"stream","text":"54.79979530134231 rows per molecule in train.\n54.73962247662326 rows per molecule in test.\n","name":"stdout"}]},{"metadata":{"trusted":true},"cell_type":"code","source":"num_values_train = df_train.groupby('molecule_name')['atom_index_0'].apply(len)\ndf_atoms_values_train = pd.DataFrame(num_values_train)\ndf_atoms_values_train = df_atoms_values_train.merge(pd.DataFrame(num_atoms), left_index=True, right_index=True)\ndf_atoms_values_train.columns = ['num_values', 'num_atoms']\n\nnum_values_test = df_test.groupby('molecule_name')['atom_index_0'].apply(len)\ndf_atoms_values_test = pd.DataFrame(num_values_test)\ndf_atoms_values_test = df_atoms_values_test.merge(pd.DataFrame(num_atoms), left_index=True, right_index=True)\ndf_atoms_values_test.columns = ['num_values', 'num_atoms']\n\nfig, axs = plt.subplots(1, 2, figsize=(12, 6))\n(df_atoms_values_train['num_values'] / df_atoms_values_train['num_atoms']).hist(bins=50, ax=axs[0])\n(df_atoms_values_test['num_values'] / df_atoms_values_test['num_atoms']).hist(bins=50, ax=axs[1])\naxs[0].set_title('Train')\naxs[1].set_title('Test')\nplt.suptitle('CSV Rows Per Atom per Molecule')\nplt.show()","execution_count":28,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 864x432 with 2 Axes>","image/png":"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\n"},"metadata":{}}]}],"metadata":{"kernelspec":{"display_name":"Python 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