{"cells":[{"metadata":{"_cell_guid":"b1076dfc-b9ad-4769-8c92-a6c4dae69d19","_uuid":"8f2839f25d086af736a60e9eeb907d3b93b6e0e5","trusted":true},"cell_type":"code","source":"# This Python 3 environment comes with many helpful analytics libraries installed\n# It is defined by the kaggle/python docker image: https://github.com/kaggle/docker-python\n# For example, here's several helpful packages to load in \n\nimport numpy as np # linear algebra\nimport pandas as pd # data processing, CSV file I/O (e.g. pd.read_csv)\nimport matplotlib.pyplot as plt\nfrom os import listdir\nfrom os.path import isfile, join\n# Input data files are available in the \"../input/\" directory.\n# For example, running this (by clicking run or pressing Shift+Enter) will list the files in the input directory\n\nimport os\nroot = '../input/'\n# Any results you write to the current directory are saved as output.","execution_count":25,"outputs":[]},{"metadata":{},"cell_type":"markdown","source":"## Analyse CSV files and their columns"},{"metadata":{"trusted":true},"cell_type":"code","source":"csv_files = [f for f in listdir(root) if isfile(join(root, f)) and '.csv' in f ]\ndataframes = {}\nfor file in csv_files:\n    dataframes[os.path.splitext(file)[0]] = pd.read_csv(root+file)\nfor i,file in enumerate(csv_files,1):\n    print(i,'file name      :',file)\n    print('  dataframe shape:',dataframes[os.path.splitext(file)[0]].shape)\n    print('  data columns   : ',end='')\n    print(*dataframes[os.path.splitext(file)[0]].columns ,sep=', ',end='\\n\\n')","execution_count":26,"outputs":[{"output_type":"stream","text":"1 file name      : potential_energy.csv\n  dataframe shape: (85003, 2)\n  data columns   : molecule_name, potential_energy\n\n2 file name      : mulliken_charges.csv\n  dataframe shape: (1533537, 3)\n  data columns   : molecule_name, atom_index, mulliken_charge\n\n3 file name      : train.csv\n  dataframe shape: (4658147, 6)\n  data columns   : id, molecule_name, atom_index_0, atom_index_1, type, scalar_coupling_constant\n\n4 file name      : scalar_coupling_contributions.csv\n  dataframe shape: (4658147, 8)\n  data columns   : molecule_name, atom_index_0, atom_index_1, type, fc, sd, pso, dso\n\n5 file name      : sample_submission.csv\n  dataframe shape: (2505542, 2)\n  data columns   : id, scalar_coupling_constant\n\n6 file name      : test.csv\n  dataframe shape: (2505542, 5)\n  data columns   : id, molecule_name, atom_index_0, atom_index_1, type\n\n7 file name      : magnetic_shielding_tensors.csv\n  dataframe shape: (1533537, 11)\n  data columns   : molecule_name, atom_index, XX, YX, ZX, XY, YY, ZY, XZ, YZ, ZZ\n\n8 file name      : dipole_moments.csv\n  dataframe shape: (85003, 4)\n  data columns   : molecule_name, X, Y, Z\n\n9 file name      : structures.csv\n  dataframe shape: (2358657, 6)\n  data columns   : molecule_name, atom_index, atom, x, y, z\n\n","name":"stdout"}]},{"metadata":{},"cell_type":"markdown","source":"## check for aligned columns "},{"metadata":{"trusted":true},"cell_type":"code","source":"print(dataframes['train']['molecule_name'].equals(dataframes['scalar_coupling_contributions']['molecule_name']),end=' ')\nprint(dataframes['train']['atom_index_0'].equals(dataframes['scalar_coupling_contributions']['atom_index_0']),end=' ')\nprint(dataframes['train']['atom_index_1'].equals(dataframes['scalar_coupling_contributions']['atom_index_1']),end=' ')\nprint(dataframes['train']['type'].equals(dataframes['scalar_coupling_contributions']['type']))      \nprint('train.csv and scalar_coupling_contributions.csv have aligned columns',end='\\n\\n')\n\nprint(dataframes['potential_energy']['molecule_name'].equals(dataframes['dipole_moments']['molecule_name']))      \nprint('potential_energy.csv and dipole_moments.csv have aligned columns',end='\\n\\n')\n\nprint(dataframes['test']['id'].equals(dataframes['sample_submission']['id']))      \nprint('test.csv and sample_submission.csv have aligned columns',end='\\n\\n')\n\nprint(dataframes['mulliken_charges']['molecule_name'].equals(dataframes['magnetic_shielding_tensors']['molecule_name']),end=' ')      \nprint(dataframes['mulliken_charges']['atom_index'].equals(dataframes['magnetic_shielding_tensors']['atom_index']))      \nprint('mulliken_charges.csv and magnetic_shielding_tensors.csv have aligned columns',end='\\n\\n')","execution_count":27,"outputs":[{"output_type":"stream","text":"True True True True\ntrain.csv and scalar_coupling_contributions.csv have aligned columns\n\nTrue\npotential_energy.csv and dipole_moments.csv have aligned columns\n\nTrue\ntest.csv and sample_submission.csv have aligned columns\n\nTrue True\nmulliken_charges.csv and magnetic_shielding_tensors.csv have aligned columns\n\n","name":"stdout"}]},{"metadata":{"trusted":true},"cell_type":"code","source":"print(np.array_equal(dataframes['train']['molecule_name'].unique(), dataframes['dipole_moments']['molecule_name'].unique()),end=' ')\nprint(np.array_equal(dataframes['train']['molecule_name'].unique(), dataframes['mulliken_charges']['molecule_name'].unique()),end=' ')\nprint(np.array_equal(dataframes['train']['molecule_name'].unique(), dataframes['magnetic_shielding_tensors']['molecule_name'].unique()))\nprint('All molecules present in train.csv have their additional data present')","execution_count":28,"outputs":[{"output_type":"stream","text":"True True True\nAll molecules present in train.csv have their additional data present\n","name":"stdout"}]},{"metadata":{"_cell_guid":"79c7e3d0-c299-4dcb-8224-4455121ee9b0","_uuid":"d629ff2d2480ee46fbb7e2d37f6b5fab8052498a","trusted":true},"cell_type":"code","source":"train = dataframes['train']\ntrain.head()","execution_count":29,"outputs":[{"output_type":"execute_result","execution_count":29,"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":{},"cell_type":"markdown","source":"## types"},{"metadata":{"trusted":true},"cell_type":"code","source":"type_list = train['type'].unique().tolist()\nprint('Total {} different coupling types are present in train.csv'.format(len(type_list)))\nprint(*type_list, sep = \", \")\ntest_type_list = dataframes['test']['type'].unique().tolist()\nprint('Total {} different coupling types are present in test.csv'.format(len(test_type_list)))\nprint(*test_type_list, sep = \", \")","execution_count":30,"outputs":[{"output_type":"stream","text":"Total 8 different coupling types are present in train.csv\n1JHC, 2JHH, 1JHN, 2JHN, 2JHC, 3JHH, 3JHC, 3JHN\nTotal 8 different coupling types are present in test.csv\n2JHC, 1JHC, 3JHH, 3JHC, 2JHH, 1JHN, 3JHN, 2JHN\n","name":"stdout"}]},{"metadata":{"trusted":true},"cell_type":"code","source":"plt.figure(figsize=(12,5))\nplt.subplot(1, 2, 1)\nplt.title('Distribution of type for train')\nplt.ylabel('frequency')\nplt.xlabel('type')\ntrain['type'].value_counts().plot.bar()\n\nplt.subplot(1, 2, 2)\nplt.title('Distribution of type for test')\nplt.ylabel('frequency')\nplt.xlabel('type')\ndataframes['test']['type'].value_counts().plot.bar()\nplt.tight_layout()\nplt.show()","execution_count":31,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 864x360 with 2 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"## atom index"},{"metadata":{"trusted":true},"cell_type":"code","source":"plt.figure(figsize=(14,5))\nplt.subplot(1, 3, 1)\nplt.title('Distribution of atom_index_0')\nplt.ylabel('frequency')\nplt.xlabel('index')\ntrain['atom_index_0'].hist(bins=20)\n\nplt.subplot(1, 3, 2)\nplt.title('Distribution of atom_index_1')\nplt.ylabel('frequency')\nplt.xlabel('index')\ntrain['atom_index_1'].hist(bins=20)\n\nplt.subplot(1, 3, 3)\nplt.title('Distribution of atom_index')\nplt.ylabel('frequency')\nplt.xlabel('index')\nplt.hist(train[['atom_index_0','atom_index_1']].values,bins=20)\n\nplt.tight_layout()\nplt.show()","execution_count":32,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1008x360 with 3 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"### Does test set have a similar distribution ?"},{"metadata":{"trusted":true},"cell_type":"code","source":"plt.figure(figsize=(14,5))\nplt.subplot(1, 3, 1)\nplt.title('Distribution of atom_index_0')\nplt.ylabel('frequency')\nplt.xlabel('index')\ndataframes['test']['atom_index_0'].hist(bins=20)\n\nplt.subplot(1, 3, 2)\nplt.title('Distribution of atom_index_1')\nplt.ylabel('frequency')\nplt.xlabel('index')\ndataframes['test']['atom_index_1'].hist(bins=20)\n\nplt.subplot(1, 3, 3)\nplt.title('Distribution of atom_index')\nplt.ylabel('frequency')\nplt.xlabel('index')\nplt.hist(dataframes['test'][['atom_index_0','atom_index_1']].values,bins=20)\n\nplt.tight_layout()\nplt.show()","execution_count":33,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1008x360 with 3 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"## scalar coupling constant"},{"metadata":{"trusted":true},"cell_type":"code","source":"plt.figure(figsize=(8,5))\nplt.title('Distribution of scalar_coupling_constant')\nplt.ylabel('Frequency')\nplt.xlabel('scalar_coupling_constant')\nplt.hist(train['scalar_coupling_constant'].values,bins=100,color='orange')\nplt.show()","execution_count":34,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 576x360 with 1 Axes>","image/png":"iVBORw0KGgoAAAANSUhEUgAAAhEAAAFOCAYAAAA4rk+tAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAAIABJREFUeJzt3XmcJWV97/HPVxAR2WVCZAAHlavBJBocEa/xuiugBnKTKEJkJFyJVzSJSyIaI8YtmEQxRCVBMYAKBo0GNCoZwWiMIsyoyBZlLgoM6wjI5sLi7/5RT+uZ5nTP6ZrpPt0zn/frdV5d9dRT9TxV58yc76k1VYUkSdJM3W/cHZAkSQuTIUKSJPViiJAkSb0YIiRJUi+GCEmS1IshQpIk9WKI0EYvyT8k+YsNtKzdk9yRZLM2/h9J/s+GWHZb3ueSLNtQy5tBu29L8oMk189Re99P8sy5aGu2Jakkj2jDG+yzJi0EhggtaO3L6MdJbk/ywyRfTfKyJD//bFfVy6rqrSMua9ovtqq6qqq2rqp7N0Df35zkI5OWv39VnbK+y55hP3YHXgPsVVW/PJdtb2xG/awtFEmemmT1BlzeS5J8ZUMtT+NniNDG4PlVtQ3wUOBY4HXASRu6kSSbb+hlzhO7AzdV1Y3j7si6bMTvgbQgGSK00aiqW6vqLOCFwLIkvwqQ5OQkb2vDOyX5TNtrcXOS/0xyvyQfpvsy/XQ7XPFnSZa0XdVHJLkKOHegbPDL7OFJzk9yW5Izk+zY2rrPr7iJvR1J9gPeALywtXdhm/7zwyOtX29McmWSG5OcmmS7Nm2iH8uSXNUORfz5VNsmyXZt/jVteW9sy38msBzYpfXj5CHzDt1mbdpuST7ZlntTkve28ocnObeV/SDJR5NsP0Xf9knytbb865K8N8kWA9MryVFJLgcun2odW91HJ1ne+nlDkje08gckeU+Sa9vrPUke0Kbd59fxpEMUJ7fDFMvbHq8vJXnoFO0PftaemmR1kte09++6JIcP1H1wkk+3z80F6Q4prfNXes91XFdfDkhyaVu/a5K8NsmDgM/xi8/GHUl2GfH9elmSy1ud96XzK8A/AE9sy/rhutZV858hQhudqjofWA08ecjk17Rpi4Cd6b7Iq6peDFxFt1dj66r664F5ngL8CvCcKZo8DPgD4CHAPcDxI/Tx88A7gH9u7T1mSLWXtNfTgIcBWwPvnVTnN4FHAs8A3tT+ox7m74Ht2nKe0vp8eFV9AdgfuLb14yVD5h26zdKdF/IZ4EpgCbAY+FibJ8BfAbvQbbvdgDdP0bd7gVcBOwFPbOvy8kl1DgKeAOw1xTJIsg3wBeDzrd1HAOe0yX8O7As8FngMsA/wxqmWNcShwFtbH78FfHTE+X6ZbrsvBo4A3pdkhzbtfcCdrc6y9prWeq7jdH05CfjDtkfvV4Fzq+pO1v5sbF1V1zLa+/U84PHArwMvAJ5TVZcBLwO+1pY1NFRqYTFEaGN1LbDjkPK76b7sH1pVd1fVf9a6HyDz5qq6s6p+PMX0D1fVxe0/3b8AXtC+YNfXocC7q+qKqroDeD1wcNbeC/KXVfXjqroQuJDuy2MtrS8HA6+vqtur6vvAu4AXj9iPqbbZPnRfZH/ats9PquorAFW1qqqWV9VPq2oN8G668HIfVbWyqs6rqnta3/5xSN2/qqqbp3kPoPviur6q3tX6cntVfb1NOxR4S1Xd2PrzlzNYf4B/q6ovV9VP6b6sn5hktxHmu7u1e3dVfRa4A3hke09+Bzimqn5UVZcCo5wLsz7rOLQvA9P2SrJtVd1SVd+YqgMjvl/HVtUPq+oq4It0wUYbIUOENlaLgZuHlP8NsAr49yRXJDl6hGVdPYPpVwL3p/uVtr52acsbXPbmdHsDJgxeTfEjur0Vk+3U+jR5WYtH7MdU22w34MqqumfyDEl2TvKxtmv8NuAjTLFNkvyPdrjk+lb3HUPqrus9mOjP/5ti2rBtucsIy7xP+y3Q3Tzi/DdN2j4T79EiuvdycL1mex2n6gt0geYA4Mp2uOaJU3VgxPdrlM+lNgKGCG10kjye7gvyPseX2y+311TVw4DfAl6d5BkTk6dY5Lr2VAz+It2d7lfdD+h2VW810K/N6L48Rl3utXQniw4u+x7ghnXMN9kPWp8mL+uaUWaeZptdDeye4Sc7voNu/X6tqrYFfp/uEMcwJwD/DezZ6r5hSN1RHjd8Nd3hmmGGbctr2/Dk92nYFSq7DUzfmm4v17VD6o1qDd17ueuwNqbRdx2nVVUXVNWBwC8B/wqcMTFpSPVR3q8pmxqxnhYIQ4Q2Gkm2TfI8uuPyH6mqi4bUeV6SRyQJcCvd8d2ftck3MPV/0NP5/SR7JdkKeAvwiXYJ6HeBLZM8N8n96Y5PP2BgvhuAJRm4HHWS04FXJdmjfXFNnENxn1/+02l9OQN4e5Jt2kmBr6bbO7BO02yz84HrgGOTPCjJlkme1Gbbhm53+a1JFgN/Ok0T2wC3AXckeRTwf2eyfgM+AzwkyZ+0kwy3SfKENu104I1JFiXZCXgTv1j/C4FHJ3lski0Zfu7GAUl+s51A+FbgvKoaZc/BUO09+STw5iRbtfU+bBbXcUpJtkhyaJLtqupuuvdi8N/Eg9NO6G3W5/26Adh18ERMLWyGCG0MPp3kdrpfaX9Od/z98Cnq7kl3YtodwNeA91fVF9u0v6L7T/iHSV47g/Y/DJxMtwt3S+CPoLtahO6Esw/S/eq/k+4ExQkfb39vSjLsGPSH2rK/DHwP+Anwyhn0a9ArW/tX0O2hOa0tfxRDt1n7Inw+3cl9V9Gt2wvbPH8J7E0XOv6N7gtzKq8FDgFuBz4A/PPIazWgqm4HntX6dD3dlRxPa5PfBqwAvg1cBHyjlVFV36ULf19o8wy7QuI04Bi6wxiPo9uzsr5eQXei4/V07/PpwE+nm6HvOo7gxcD32+GJl9GdX0FV/Xfr1xXt38UurN/7dS5wCXB9kh/MYD7NU1n3OWWStOlKd9nr6qqaydUcfdp5J/DLVTXndyyV+nJPhCSNQZJHJfn1dg+Ffeguu/zUuPslzYR3f5O0YCR5Mt0NkO6jqhbaFQDb0B0q2IXuXIF3AWduZOuojZyHMyRJUi8ezpAkSb0YIiRJUi+eE7EOO+20Uy1ZsmTc3ZAkaU6sXLnyB1W1aN01DRHrtGTJElasWDHubkiSNCeSXLnuWh0PZ0iSpF4MEZIkqRdDhCRJ6sUQIUmSejFESJKkXgwRkiSpF0OEJEnqxRAhSZJ6MURIkqReDBGSJKkXQ4QkSerFZ2do9p2WtccPqfH0Q5K0QbknQpIk9WKIkCRJvRgiJElSL4YISZLUiyFCkiT1YoiQJEm9GCIkSVIvhghJktSLIUKSJPViiJAkSb0YIiRJUi+GCEmS1IshQpIk9WKIkCRJvRgiJElSL4YISZLUiyFCkiT1YoiQJEm9GCIkSVIvsxYiknwoyY1JLh4o2zHJ8iSXt787tPIkOT7JqiTfTrL3wDzLWv3LkywbKH9ckovaPMcnSd82JEnSzM3mnoiTgf0mlR0NnFNVewLntHGA/YE92+tI4AToAgFwDPAEYB/gmIlQ0Oq8dGC+/fq0IUmS+pm1EFFVXwZunlR8IHBKGz4FOGig/NTqnAdsn+QhwHOA5VV1c1XdAiwH9mvTtq2q86qqgFMnLWsmbUiSpB7m+pyInavqujZ8PbBzG14MXD1Qb3Urm6589ZDyPm1IkqQexnZiZduDUPOxjSRHJlmRZMWaNWtmoWeSJC18cx0ibpg4hND+3tjKrwF2G6i3ayubrnzXIeV92riPqjqxqpZW1dJFixbNaAUlSdpUzHWIOAuYuMJiGXDmQPlh7QqKfYFb2yGJs4FnJ9mhnVD5bODsNu22JPu2qzIOm7SsmbQhSZJ62Hy2FpzkdOCpwE5JVtNdZXEscEaSI4ArgRe06p8FDgBWAT8CDgeoqpuTvBW4oNV7S1VNnKz5crorQB4IfK69mGkbkiSpn3SnDWgqS5curRUrVoy7GwvbaVl7/BA/c5I0XyVZWVVLR6nrHSslSVIvhghJktSLIUKSJPViiJAkSb0YIiRJUi+GCEmS1IshQpIk9WKIkCRJvRgiJElSL4YISZLUiyFCkiT1YoiQJEm9GCIkSVIvhghJktSLIUKSJPViiJAkSb0YIiRJUi+GCEmS1IshQpIk9WKIkCRJvRgiJElSL4YISZLUiyFCkiT1YoiQJEm9GCIkSVIvhghJktSLIUKSJPViiJAkSb0YIiRJUi+GCEmS1IshQpIk9WKIkCRJvRgiJElSL4YISZLUiyFCkiT1YoiQJEm9GCIkSVIvhghJktTLWEJEklcluSTJxUlOT7Jlkj2SfD3JqiT/nGSLVvcBbXxVm75kYDmvb+XfSfKcgfL9WtmqJEcPlA9tQ5Ikzdych4gki4E/ApZW1a8CmwEHA+8EjquqRwC3AEe0WY4Abmnlx7V6JNmrzfdoYD/g/Uk2S7IZ8D5gf2Av4EWtLtO0IUmSZmhchzM2Bx6YZHNgK+A64OnAJ9r0U4CD2vCBbZw2/RlJ0so/VlU/rarvAauAfdprVVVdUVV3AR8DDmzzTNWGJEmaoTkPEVV1DfC3wFV04eFWYCXww6q6p1VbDSxuw4uBq9u897T6Dx4snzTPVOUPnqYNSZI0Q+M4nLED3V6EPYBdgAfRHY6YN5IcmWRFkhVr1qwZd3ckSZqXxnE445nA96pqTVXdDXwSeBKwfTu8AbArcE0bvgbYDaBN3w64abB80jxTld80TRtrqaoTq2ppVS1dtGjR+qyrJEkbrXGEiKuAfZNs1c5TeAZwKfBF4HdbnWXAmW34rDZOm35uVVUrP7hdvbEHsCdwPnABsGe7EmMLupMvz2rzTNWGJEmaoXGcE/F1upMbvwFc1PpwIvA64NVJVtGdv3BSm+Uk4MGt/NXA0W05lwBn0AWQzwNHVdW97ZyHVwBnA5cBZ7S6TNOGJEmaoXQ/0DWVpUuX1ooVK8bdjYXttKw9foifOUmar5KsrKqlo9T1jpWSJKkXQ4QkSerFECFJknoxREiSpF4MEZIkqRdDhCRJ6sUQIUmSejFESJKkXgwRkiSpF0OEJEnqxRAhSZJ6MURIkqReDBGSJKkXQ4QkSerFECFJknoxREiSpF4MEZIkqRdDhCRJ6sUQIUmSejFESJKkXjYfdwe0CTota48fUuPphyRpvbgnQpIk9TJSiEjya7PdEUmStLCMuifi/UnOT/LyJNvNao8kSdKCMFKIqKonA4cCuwErk5yW5Fmz2jNJkjSvjXxORFVdDrwReB3wFOD4JP+d5H/PVuckSdL8Neo5Eb+e5DjgMuDpwPOr6lfa8HGz2D9JkjRPjXqJ598DHwTeUFU/niisqmuTvHFWeiZJkua1UUPEc4EfV9W9AEnuB2xZVT+qqg/PWu8kSdK8Neo5EV8AHjgwvlUrkyRJm6hRQ8SWVXXHxEgb3mp2uiRJkhaCUQ9n3Jlk76r6BkCSxwE/Xsc82lRNvq21JGmjNGqI+BPg40muBQL8MvDCWeuVJEma90YKEVV1QZJHAY9sRd+pqrtnr1uSJGm+m8lTPB8PLGnz7J2Eqjp1VnolSZLmvZFCRJIPAw8HvgXc24oLMERIkrSJGnVPxFJgr6qq2eyMJElaOEa9xPNiupMpJUmSgNFDxE7ApUnOTnLWxKtvo0m2T/KJ9gCvy5I8McmOSZYnubz93aHVTZLjk6xK8u0kew8sZ1mrf3mSZQPlj0tyUZvn+CRp5UPbkCRJMzdqiHgzcBDwDuBdA6++/g74fFU9CngM3YO9jgbOqao9gXPaOMD+wJ7tdSRwAnSBADgGeAKwD3DMQCg4AXjpwHz7tfKp2pAkSTM0Uoioqi8B3wfu34YvAL7Rp8Ek2wH/CzipLfuuqvohcCBwSqt2Cl1ooZWfWp3zgO2TPAR4DrC8qm6uqluA5cB+bdq2VXVeO4fj1EnLGtaGJEmaoVEfBf5S4BPAP7aixcC/9mxzD2AN8E9Jvpnkg0keBOxcVde1OtcDOw+0dfXA/Ktb2XTlq4eUM00bkiRphkY9nHEU8CTgNoCquhz4pZ5tbg7sDZxQVb8B3MmkwwptD8KsXgkyXRtJjkyyIsmKNWvWzGY3JElasEYNET+tqrsmRpJsTv8v+dXA6qr6ehv/BF2ouKEdiqD9vbFNvwbYbWD+XVvZdOW7DilnmjbWUlUnVtXSqlq6aNGiXispSdLGbtQQ8aUkbwAemORZwMeBT/dpsKquB65OMnEL7WcAlwJnARNXWCwDzmzDZwGHtas09gVubYckzgaenWSHdkLls4Gz27Tbkuzbrso4bNKyhrUhSZJmaNSbTR0NHAFcBPwh8Fngg+vR7iuBjybZArgCOJwu0JyR5AjgSuAFre5ngQOAVcCPWl2q6uYkb6U7yRPgLVV1cxt+OXAy8EDgc+0FcOwUbUiSpBmKN6Gc3tKlS2vFihXj7sbCMtNHgR/iZ1CS5oskK6tq6Sh1R312xvcYcg5EVT1shn2TJEkbiZk8O2PClsDvATtu+O5IkqSFYtSbTd008Lqmqt4DPHeW+yZJkuaxUQ9n7D0wej+6PROj7sWQJEkboVGDwOBzMu6huwW2VzZIkrQJGylEVNXTZrsjkiRpYRn1cMarp5teVe/eMN2RJEkLxUyuzng83R0fAZ4PnA9cPhudkiRJ89+oIWJXYO+quh0gyZuBf6uq35+tjkmSpPlt1Gdn7AzcNTB+Fz5GW5KkTdqoeyJOBc5P8qk2fhBwyux0SZIkLQSjXp3x9iSfA57cig6vqm/OXrckSdJ8N+rhDICtgNuq6u+A1Un2mKU+SZKkBWCkEJHkGOB1wOtb0f2Bj8xWpyRJ0vw36p6I3wZ+C7gToKquBbaZrU5JkqT5b9QQcVdVFe1x4EkeNHtdkiRJC8GoIeKMJP8IbJ/kpcAXgA/MXrckSdJ8N+rVGX+b5FnAbcAjgTdV1fJZ7ZkkSZrX1hkikmwGfKE9hMvgIEmSgBEOZ1TVvcDPkmw3B/2RJEkLxKh3rLwDuCjJctoVGgBV9Uez0itJkjTvjRoiPtlekiRJwDpCRJLdq+qqqvI5GZIkaS3rOifiXycGkvzLLPdFkiQtIOsKERkYfthsdkSSJC0s6woRNcWwJEnaxK3rxMrHJLmNbo/EA9swbbyqattZ7Z0kSZq3pg0RVbXZXHVEkiQtLKM+O0OSJGkthghJktSLIUKSJPViiJAkSb0YIiRJUi+GCEmS1IshQpIk9WKIkCRJvRgiJElSL4YISZLUy9hCRJLNknwzyWfa+B5Jvp5kVZJ/TrJFK39AG1/Vpi8ZWMbrW/l3kjxnoHy/VrYqydED5UPbkCRJMzfOPRF/DFw2MP5O4LiqegRwC3BEKz8CuKWVH9fqkWQv4GDg0cB+wPtbMNkMeB+wP7AX8KJWd7o2JEnSDI0lRCTZFXgu8ME2HuDpwCdalVOAg9rwgW2cNv0Zrf6BwMeq6qdV9T1gFbBPe62qqiuq6i7gY8CB62hD43Ra1n5JkhaEce2JeA/wZ8DP2viDgR9W1T1tfDWwuA0vBq4GaNNvbfV/Xj5pnqnKp2tDkiTN0JyHiCTPA26sqpVz3faokhyZZEWSFWvWrBl3dyRJmpfGsSfiScBvJfk+3aGGpwN/B2yfZPNWZ1fgmjZ8DbAbQJu+HXDTYPmkeaYqv2maNtZSVSdW1dKqWrpo0aL+aypJ0kZszkNEVb2+qnatqiV0J0aeW1WHAl8EfrdVWwac2YbPauO06edWVbXyg9vVG3sAewLnAxcAe7YrMbZobZzV5pmqDUmSNEPz6T4RrwNenWQV3fkLJ7Xyk4AHt/JXA0cDVNUlwBnApcDngaOq6t52zsMrgLPprv44o9Wdrg1JkjRD6X6gaypLly6tFStWjLsbC8v6XmFxiJ9JSRqXJCuraukodefTnghJkrSAGCIkSVIvhghJktSLIUKSJPViiJAkSb0YIiRJUi+GCEmS1IshQpIk9WKIkCRJvRgiJElSL4YISZLUiyFCkiT1YoiQJEm9GCIkSVIvhghJktSLIUKSJPViiJAkSb0YIiRJUi+GCEmS1IshQpIk9WKIkCRJvRgiJElSL4YISZLUiyFCkiT1YoiQJEm9GCIkSVIvhghJktSLIUKSJPViiJAkSb0YIiRJUi+GCEmS1Mvm4+6AdB+nZe3xQ2o8/ZAkTcs9EZIkqRdDhCRJ6sUQIUmSejFESJKkXgwRkiSpF0OEJEnqZc5DRJLdknwxyaVJLknyx618xyTLk1ze/u7QypPk+CSrknw7yd4Dy1rW6l+eZNlA+eOSXNTmOT5JpmtDkiTN3Dj2RNwDvKaq9gL2BY5KshdwNHBOVe0JnNPGAfYH9myvI4EToAsEwDHAE4B9gGMGQsEJwEsH5tuvlU/VhiRJmqE5DxFVdV1VfaMN3w5cBiwGDgROadVOAQ5qwwcCp1bnPGD7JA8BngMsr6qbq+oWYDmwX5u2bVWdV1UFnDppWcPakCRJMzTWcyKSLAF+A/g6sHNVXdcmXQ/s3IYXA1cPzLa6lU1XvnpIOdO0IUmSZmhst71OsjXwL8CfVNVt7bQFAKqqkszqvY6nayPJkXSHTth9991nsxvz00xvOz25viRpkzCWPRFJ7k8XID5aVZ9sxTe0QxG0vze28muA3QZm37WVTVe+65Dy6dpYS1WdWFVLq2rpokWL+q2kJEkbuXFcnRHgJOCyqnr3wKSzgIkrLJYBZw6UH9au0tgXuLUdkjgbeHaSHdoJlc8Gzm7Tbkuyb2vrsEnLGtaGJEmaoXEczngS8GLgoiTfamVvAI4FzkhyBHAl8II27bPAAcAq4EfA4QBVdXOStwIXtHpvqaqb2/DLgZOBBwKfay+maUOSJM3QnIeIqvoKMNVB9GcMqV/AUVMs60PAh4aUrwB+dUj5TcPakCRJM+cdKyVJUi+GCEmS1IshQpIk9WKIkCRJvRgiJElSL4YISZLUiyFCkiT1YoiQJEm9GCIkSVIvhghJktSLIUKSJPViiJAkSb0YIiRJUi+GCEmS1MucPwpcmrHThjw5/pCa+35IktbinghJktSLeyIkzU+T90C590madwwRkuaHYYetJM1rHs6QJEm9GCIkSVIvhghJktSLIUKSJPViiJAkSb0YIiRJUi9e4ilpYfC+EdK8Y4jQzHk9vyQJD2dIkqSeDBGSJKkXD2fIwxMaDz930oJniNC6+Z+95iNPtJTGzsMZkiSpF/dEaGHyV6gmG7bHzM+FNKvcEyFJknoxREiSpF4MEZIkqRdDhCRJ6sUTKzdFXrKpTYUn4EqzyhAhaW4YXqWNziYXIpLsB/wdsBnwwao6dsxdkjRXZrpnYkMHH/eEaCOzSYWIJJsB7wOeBawGLkhyVlVdOt6eSRqLud47sq72DBlaYDapEAHsA6yqqisAknwMOBAwRGxs5vpYuMfetSGsb6jxc6c5tqmFiMXA1QPjq4EnjKkvc2dTOBa9rnWc693YC3Gbr+8X0EJc543NhngPDCKzb6bv0zx+Tza1EDGSJEcCR7bRO5J8Z5z92QjsBPxg3J1Yy6EL+gtvdrbnwt4m62v+fUbHZcN8DtyeG9Khmevt+dBRK25qIeIaYLeB8V1b2Vqq6kTgxLnq1MYuyYqqWjrufmws3J4bntt0w3J7bljzeXtuajebugDYM8keSbYADgbOGnOfJElakDapPRFVdU+SVwBn013i+aGqumTM3ZIkaUHapEIEQFV9FvjsuPuxifHQ0Ibl9tzw3KYblttzw5q32zNV8/esT0mSNH9taudESJKkDcQQoVmVZL8k30myKsnR4+7PQpTk+0kuSvKtJCta2Y5Jlie5vP3dYdz9nK+SfCjJjUkuHigbuv3SOb59Xr+dZO/x9Xx+mmJ7vjnJNe0z+q0kBwxMe33bnt9J8pzx9Hr+SrJbki8muTTJJUn+uJUviM+oIUKzZuA24/sDewEvSrLXeHu1YD2tqh47cJnX0cA5VbUncE4b13AnA/tNKptq++0P7NleRwInzFEfF5KTue/2BDiufUYf2849o/17Pxh4dJvn/e3/Bf3CPcBrqmovYF/gqLbdFsRn1BCh2fTz24xX1V3AxG3Gtf4OBE5pw6cAB42xL/NaVX0ZuHlS8VTb70Dg1OqcB2yf5CFz09OFYYrtOZUDgY9V1U+r6nvAKrr/F9RU1XVV9Y02fDtwGd3dlRfEZ9QQodk07Dbji8fUl4WsgH9PsrLdTRVg56q6rg1fD+w8nq4tWFNtPz+z/b2i7V7/0MDhNbfnDCRZAvwG8HUWyGfUECHNf79ZVXvT7cY8Ksn/GpxY3SVWXmbVk9tvgzgBeDjwWOA64F3j7c7Ck2Rr4F+AP6mq2wanzefPqCFCs2mk24xrelV1Tft7I/Aput3BN0zswmx/bxxfDxekqbafn9kequqGqrq3qn4GfIBfHLJwe44gyf3pAsRHq+qTrXhBfEYNEZpN3mZ8PSV5UJJtJoaBZwMX023HZa3aMuDM8fRwwZpq+50FHNbOgN8XuHVgl7KmMOmY/G/TfUah254HJ3lAkj3oTgY8f677N58lCXAScFlVvXtg0oL4jG5yd6zU3PE24xvEzsCnuv9n2Bw4rao+n+QC4IwkRwBXAi8YYx/ntSSnA08FdkqyGjgGOJbh2++zwAF0JwD+CDh8zjs8z02xPZ+a5LF0u9y/D/whQFVdkuQM4FK6qxCOqqp7x9HveexJwIuBi5J8q5W9gQXyGfWOlZIkqRcPZ0iSpF4MEZIkqRdDhCRJ6sUQIUmSejFESJKkXgwRkiSpF0OEtJFLsmTwsc3zWXvs+U5t+Kvj7s+okjx28PHXPZfxhg3VH2muGCIkrSXJvLgJXVX9z3H3YQYeS3cDoPVhiNCCY4iQ5rl26+t/S3JhkouTvDDJ45N8tZWdn2SbtsfhP5N8o73u8yU8VZ0kT23lZ9HdXXCqvhzWntR4YZIPDyzz3FZ+TpLdW/nJSX53YN47Btr6clun7yT5hyT3+b9oUv3/SPKJJP+d5KPtVsEkOaCVrUxyfJLPTNP3rZP8U5KLWl9/p5W/qJVdnOSdg+0neXtb1/OS7NzKf6/VvbCtxxbAW4AXJvljQzaiAAADw0lEQVRWe3/2SfK1JN9s79Mj27wvSfLJJJ9PcnmSv27lxwIPbPN/dKp1kOadqvLly9c8fgG/A3xgYHw74Arg8W18W7pbYm8FbNnK9gRWtOElwMVteKo6TwXuBPaYph+PBr4L7NTGd2x/Pw0sa8N/APxrGz4Z+N2B+e8YaOsnwMPoboe+fKIe3S2TdxpS/1a6Bw3dD/ga8JvAlnSPRN6j1Tsd+Mw0/X8n8J6B8R2AXYCrgEVtG54LHNSmF/D8NvzXwBvb8EXA4ja8ffv7EuC9A8veFti8DT8T+JeBele093BLutsZ7za4vr58LaSXeyKk+e8i4FlJ3pnkycDuwHVVdQFAVd1WVfcA9wc+kOQi4OPAXkOWNV2d86vqe9P04+nAx6vqB63dm1v5E4HT2vCH6b7g1+X8qrqiuuconD7CPOdX1erqnhL5Lbpg9CjgioE+n76OZTwTeN/ESFXdAjwe+I+qWtO24UeBiUet3wVM7NlY2doE+C/g5CQvpQtBw2wHfLydi3IcXQCbcE5V3VpVP6Hb6/PQdfRbmrfmxbFPSVOrqu8m2ZvumPvb6H4tD/Mq4AbgMXS/2H8ywzp3bqg+N/e0NmiHK7YYmDb5oT3reojPTweG72Vu/u+6u6om+vXzNqvqZUmeADwXWJnkcUPmfSvwxar67SRLgP8YmDaOdZFmhXsipHkuyS7Aj6rqI8DfAE8AHpLk8W36Nu1kyO3o9lD8jO6pgMN+JY9SZyrnAr+X5MGt3R1b+VfpHvMOcCjwn234+8DEF+xv0e0FmbBPukfE3w94IfCVGfRjwneAh7UvadpyprMcOGpiJMkOdI+lfkqSnZJsBrwI+NJ0C0ny8Kr6elW9CVgD7AbcDmwzUG074Jo2/JJRVga4O8n9111Nmj8MEdL892vA+e0xwccAb6L7wvz7JBfSfTluCbwfWNbKHsXwPQuj1Bmquse4vx34Upv/3W3SK4HDk3ybLpj8cSv/AN0X9IV0hzwG27oAeC9wGfA94FOj9mOgPz8GXg58PslKui/yW6eZ5W3ADhMnRQJPq6rrgKOBLwIXAiur6sx1NP03Eydi0gWoC9v8e02cWEl3DsVfJfkmo+9pOBH4tidWaiHxUeCS5lSSpwKvrarnbYBlbV1Vd7SrNd4HXF5Vx63vciWNxj0Rkhayl7Y9NJfQHUL4xzH3R9qkuCdC0lraOQ/nDJn0jKq6aa77M1NJDucXh1Qm/FdVHTWsvqT+DBGSJKkXD2dIkqReDBGSJKkXQ4QkSerFECFJknoxREiSpF7+P6foyrCy5xViAAAAAElFTkSuQmCC\n"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"df = train[['type','scalar_coupling_constant']]\nplt.figure(figsize=(15,15))\n\nfor i,type_ in enumerate(type_list,1):\n    plt.subplot(3, 3, i)\n    plt.title('Distribution for '+ type_)\n    plt.ylabel('frequency')\n    plt.xlabel('scalar_coupling_constant')\n    plt.hist(df.loc[df['type'] == type_]['scalar_coupling_constant'].values,bins=500)\n    #df.loc[df['type'] == type_]['scalar_coupling_constant'].hist(bins=25)\nplt.subplot(3, 3, 9)\nplt.title('Distribution for All')\nplt.ylabel('frequency')\nplt.xlabel('scalar_coupling_constant')\nplt.hist(df['scalar_coupling_constant'].values,bins=500,color='orange')\nplt.tight_layout()\nplt.show()","execution_count":35,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1080x1080 with 9 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"### With Fixed X axis "},{"metadata":{"trusted":true},"cell_type":"code","source":"df = train[['type','scalar_coupling_constant']]\nplt.figure(figsize=(15,15))\nfor i,type_ in enumerate(type_list,1):\n    plt.subplot(3, 3, i)\n    plt.title('Distribution for '+ type_)\n    plt.ylabel('frequency')\n    plt.xlabel('scalar_coupling_constant')\n    plt.hist(df.loc[df['type'] == type_]['scalar_coupling_constant'].values,bins=500,range=(-30,200))\n    #df.loc[df['type'] == type_]['scalar_coupling_constant'].hist(bins=25)\nplt.subplot(3, 3, 9)\nplt.title('Distribution for All')\nplt.ylabel('frequency')\nplt.xlabel('scalar_coupling_constant')\nplt.hist(df['scalar_coupling_constant'].values,bins=500,range=(-30,200),color='orange')\nplt.tight_layout()\nplt.show()","execution_count":36,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1080x1080 with 9 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"## dipole Moment"},{"metadata":{"trusted":true},"cell_type":"code","source":"plt.figure(figsize=(12,8))\nplt.subplot(2, 2, 1)\nplt.title('Distribution of Dipole moment in X')\nplt.ylabel('frequency')\nplt.xlabel('moment')\nplt.hist(dataframes['dipole_moments']['X'].values,bins=50)\n\nplt.subplot(2, 2, 2)\nplt.title('Distribution of Dipole moment in Y')\nplt.ylabel('frequency')\nplt.xlabel('moment')\nplt.hist(dataframes['dipole_moments']['Y'].values,bins=50)\n\nplt.subplot(2, 2, 3)\nplt.title('Distribution of Dipole moment in Z')\nplt.ylabel('frequency')\nplt.xlabel('moment')\nplt.hist(dataframes['dipole_moments']['Z'].values,bins=50)\n\nplt.subplot(2, 2, 4)\nplt.title('Distribution of Dipole moment')\nplt.ylabel('frequency')\nplt.xlabel('moment')\nplt.hist(dataframes['dipole_moments'][['X','Y','Z']].values.reshape(-1),bins=50,color='orange')\n\nplt.tight_layout()\nplt.show()","execution_count":37,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 864x576 with 4 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"## potential Energy"},{"metadata":{"trusted":true},"cell_type":"code","source":"plt.figure(figsize=(8,5))\nplt.title('Distribution of potential energy')\nplt.ylabel('Frequency')\nplt.xlabel('potential energy')\nplt.hist(dataframes['potential_energy']['potential_energy'].values,bins=50)\nplt.show()","execution_count":38,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 576x360 with 1 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"## mulliken charges"},{"metadata":{"trusted":true},"cell_type":"code","source":"plt.figure(figsize=(8,5))\nplt.title('Distribution of mulliken_charges')\nplt.ylabel('Frequency')\nplt.xlabel('mulliken_charges')\nplt.hist(dataframes['mulliken_charges']['mulliken_charge'].values,bins=200)\nplt.show()","execution_count":39,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 576x360 with 1 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"## magnetic_shielding_tensors"},{"metadata":{"trusted":true},"cell_type":"code","source":"df = dataframes['magnetic_shielding_tensors']\naxis_list = ['XX', 'YX', 'ZX', 'XY', 'YY', 'ZY', 'XZ', 'YZ', 'ZZ']\nplt.figure(figsize=(13,13))\nfor i,type_ in enumerate(axis_list,1):\n    plt.subplot(3, 3, i)\n    plt.title('Distribution for '+ type_)\n    plt.ylabel('frequency')\n    plt.xlabel('magnetic_shielding_tensors')\n    plt.hist(df[type_].values,bins=50)\n\nplt.tight_layout()\nplt.show()","execution_count":40,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 936x936 with 9 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"## scalar coupling contributions"},{"metadata":{"trusted":true},"cell_type":"code","source":"df = dataframes['scalar_coupling_contributions']\naxis_list = ['fc', 'sd', 'pso', 'dso']\nplt.figure(figsize=(8,8))\nfor i,type_ in enumerate(axis_list,1):\n    plt.subplot(2, 2, i)\n    plt.title('Distribution for '+ type_)\n    plt.ylabel('frequency')\n    plt.xlabel('value')\n    plt.hist(df[type_].values,bins=50)\n\nplt.tight_layout()\nplt.show()","execution_count":41,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 576x576 with 4 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"## Types of atoms"},{"metadata":{"trusted":true},"cell_type":"code","source":"a = dataframes['structures']['atom'].value_counts()\nplt.figure(figsize=(7,7))\na.plot.bar()\nplt.title('Distribution for types of atoms ')\nplt.ylabel('frequency')\nplt.xlabel('atom type')\nfor i in range(a.shape[0]):\n    plt.text(x=-0.25+i,y=a[i]+10000,s=str(a[i]), fontsize=10)\nplt.show()","execution_count":42,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 504x504 with 1 Axes>","image/png":"iVBORw0KGgoAAAANSUhEUgAAAdkAAAG3CAYAAAD4uS8oAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAAIABJREFUeJzt3Xu4VVW9//H3l4u3FPECpSCCqYkgIHK8VZZ6VDBLxUuQmReUU5ZlHjM9HjNNM08XzDL9meL9iKYVlCYZ3k55vKChiKJytAQ0RUVQAQX5/v6Yk90C995scM+92dv363nWw1xjjjnGmAvYnz3mHGutyEwkSVLz69DaA5Akqb0yZCVJqoghK0lSRQxZSZIqYshKklQRQ1aSpIoYsmq3IuLSiDizmdrqFRFvRkTH8vndEXFcc7RdtveHiDiqudqraXfdiPhdRMyLiF81d/ttQUR8LCKmRMQbEfH11h6PPlg6tfYApNUREX8DPgwsAd4FngCuAS7LzKUAmfnlVWjruMz8U0N1MvN5YP33N+q6/r4LbJ2ZX6xpf1hztF2PQylep00yc8n7bSwiPg1cl5k9329bLehU4K7MHLSqB7bR89UaxJms2rLPZuYGwJbAD4BvA1c0dycR0ZZ/Gd0SeHp1AraNn3etLYFprT0IfUBlpg8fbe4B/A341xXKdgaWAv3L51cB55bbmwK/B14HXgP+h+KXzGvLYxYCb1LMenoDCYwCngfurSnrVLZ3N3A+8CAwHxgPbFzu+zQwq77xAkOBd4DFZX+P1rR3XLndAfhP4O/AyxQz9A3LfcvGcVQ5tleAMxp4jc5eoa9RTWy77rxXaO9D5eu0tGzvTWBzYAHFTHlZvcHAHKAzcDTwF+DnwDxgOrB3Td0NKX4xehGYDZwLdCz3bQ3cUx73CnBjI/8ePkcRpK+Xr2XfsvxOiisdi8rxblvPsccATwJvAM8C/7aS810buBB4oXxcCKxd+3dP8e/o5fK8DgL2B56m+Lf3Hyv8m51M8W/oJeAnrf1/y0fzPlp9AD58rM6DekK2LH8e+Eq5fRX/DNnzgUvLH/ydgU8CUV9bNWFzTfmDdl3qD9nZQP+yzi0UlxXrftA2NF7gu8vq1uy/m3+G7LHADGArikvUvwauXWFsvyzHNRB4e1mo1PN6LNdXE9uuO+962qvv3G5b9pqXz8cAPyu3j6a4pP/N8nX/PEVoLvuF5DfA/yv7607xS8uykLsBOIPiF4N1gE80cI7bAm8B+5R9nFqe41orvrYNHP8Z4KNAAJ+i+KVhcCPnew5wfznebsB9wPdq6i8BvlOO5XiKXzj+G9gA6EcR3H3K+v8LHFlurw/s2tr/t3w078PLxWpvXgA2rqd8MbAZsGVmLs7M/8nyJ1sjvpuZb2Xmwgb2X5uZj2fmW8CZwOHLFka9T0dQzGiezcw3gdOBEStcvj07Mxdm5qPAoxRh21xtr+y8V3Q18EWA8vxHUlwhWOZl4MLydb8ReAr4TER8mGKGd1LZ38sUAT2iPG4xxaXezTNzUWb+uYH+Pw/cmpl3ZOZi4EcUv4Ds3pTBZ+atmfl/WbgH+CPFL2ENOQI4JzNfzsw5FFcMjqzZvxg4rxzLOIqrKD/NzDcycxrF+oGBNXW3johNM/PNzLy/KWNW22HIqr3pQXFJbkU/pJjd/DEino2I05rQ1sxV2P93ipnLpk0aZeM2L9urbbsTxQKmZf5Rs72Api/KakrbKzvvFY0Hto+IPhSzyXmZ+WDN/tkr/ELz93IcW1K8Zi9GxOsR8TrFrLZ7We9UitnlgxExLSKObco5ZbHwbSbFv4WViohhEXF/RLxWjmF/Gv97rO813Lzm+auZ+W65vewXlZdq9i/kn39foyhm4tMj4qGIOKApY1bbYciq3YiIf6H4wfqeGU85i/j3zNyK4v7dyRGx97LdDTS5spnuFjXbvShmJa9QXLpcr2ZcHSkuKza13RcoAqi27SUs/4N6dTWl7cbG9559mbkIuIliNnsky89iAXpERKzQ5wsUQfg2sGlmdi0fXTKzX9nuPzLz+MzcHPg34BcRsfXKzqnsawuKy/mNioi1KS71/wj4cGZ2pbj8vWy89b0W9b2GL6ysr/pk5jOZOZLiF4sLgJsj4kOr05bWTIas2ryI6FLOAMZR3H+cWk+dAyJi6/IH8DyKxTBLy90vUdyjXFVfjIjtI2I9ivt0N5czmKeBdSLiMxHRmWKh0do1x70E9I6Ihv7/3QB8MyL6RMT6wPcpFv2877fgNEPbLwGbRMSGK5RfQ3H/9XO8N2S7A1+PiM4RcRjQF7gtM1+kuDT74/LvsENEfDQiPgUQEYdFxLK3zsylCLylvNdNFJef9y5f73+nCO/7mnA+a1H83cwBlkTEMGDflZzvDcB/RkS3iNiU4v7rdU3o6z0i4osR0a2cfb9eFtd3jmqjDFm1Zb+LiDcoZkRnAD+hWClan22AP1GsEP1f4BeZeVe573yKH5qvR8Qpq9D/tRSLq/5BsTDn6wCZOQ84AbicYjb1FsWK02WWfSjEqxHxSD3tji3bvhd4jmJl7ImrMK7GvK+2M3M6Rcg8W75em5flf6EIh0cy8+8rHPYAxev/CnAecGhmvlru+xJF0D1BEaQ3U9w7B/gX4IGIeBOYAHwjM5+tZ0xPUcyif1b28VmKt3e904TzeYPi7+2msv8vlH01dr7nUqwIfgyYCjxSlq2OocC08hx/CoxYhXvhagOWra6UpPclIu4E/jszL68pO5piZe8nWm1gUitqL282l9SKyvvhg4EDW3ss0prEy8WS3peIuJriUvxJ5eVXSSUvF0uSVBFnspIkVcSQlSSpIi58WolNN900e/fu3drDkCStQR5++OFXMrPbyuoZsivRu3dvJk+e3NrDkCStQSJixfeD18vLxZIkVcSQlSSpIoasJEkVMWQlSaqIIStJUkUM2VZw7LHH0r17d/r3719X9q1vfYvtttuOAQMGcPDBB/P666/X7Tv//PPZeuut+djHPsbEiRPryseMGUO/fv3o378/I0eOZNGiRQCMGjWKgQMHMmDAAA499FDefPNNAJ5//nn23HNPdtxxRwYMGMBtt90GwPXXX8+gQYPqHh06dGDKlCkt8VJIUvuWmT4aeey0007Z3O655558+OGHs1+/fnVlEydOzMWLF2dm5qmnnpqnnnpqZmZOmzYtBwwYkIsWLcpnn302t9pqq1yyZEnOmjUre/funQsWLMjMzMMOOyyvvPLKzMycN29eXbvf/OY38/zzz8/MzOOPPz5/8Ytf1LW75ZZbvmdsjz32WG611VbNfs6S1J4Ak7MJGeJMthXssccebLzxxsuV7bvvvnTqVLxtedddd2XWrOLrR8ePH8+IESNYe+216dOnD1tvvTUPPvggAEuWLGHhwoUsWbKEBQsWsPnmmwPQpUsXoPgFauHChRTfUw4Rwfz58wGYN29eXf1aN9xwAyNGjKjgrCXpg8eQXQONHTuWYcOGATB79my22GKLun09e/Zk9uzZ9OjRg1NOOYVevXqx2WabseGGG7LvvvvW1TvmmGP4yEc+wvTp0znxxOI7ub/73e9y3XXX0bNnT/bff39+9rOfvafvG2+8kZEjR1Z8hpL0wWDIrmHOO+88OnXqxBFHHNFovblz5zJ+/Hiee+45XnjhBd566y2uu+66uv1XXnklL7zwAn379uXGG28Eilnq0UcfzaxZs7jttts48sgjWbp0ad0xDzzwAOutt95y94olSavPkF2DXHXVVfz+97/n+uuvr7vE26NHD2bOnFlXZ9asWfTo0YM//elP9OnTh27dutG5c2eGDx/Offfdt1x7HTt2ZMSIEdxyyy0AXHHFFRx++OEA7LbbbixatIhXXnmlrv64ceOcxUpSMzJk1xC33347//Vf/8WECRNYb7316so/97nPMW7cON5++22ee+45nnnmGXbeeWd69erF/fffz4IFC8hMJk2aRN++fclMZsyYART3ZCdMmMB2220HQK9evZg0aRIATz75JIsWLaJbt+LzrZcuXcpNN93k/VhJakZ+QUArGDlyJHfffTevvPIKPXv25Oyzz+b888/n7bffZp999gGKxU+XXnop/fr14/DDD2f77benU6dOXHzxxXTs2JFddtmFQw89lMGDB9OpUyd23HFHRo8eTWZy1FFHMX/+fDKTgQMHcskllwDw4x//mOOPP54xY8YQEVx11VV1M+Z7772XLbbYgq222qrVXhdJam+iWImshgwZMiT9Fh5JUq2IeDgzh6ysnpeLJUmqSGUhGxFjI+LliHi8puyHETE9Ih6LiN9ERNeafadHxIyIeCoi9qspH1qWzYiI02rK+0TEA2X5jRGxVlm+dvl8Rrm/98r6kCSpClXek70K+DlwTU3ZHcDpmbkkIi4ATge+HRHbAyOAfsDmwJ8iYtvymIuBfYBZwEMRMSEznwAuAMZk5riIuBQYBVxS/jk3M7eOiBFlvc831Edmvlvha/AevU+7tSW7WyV/+8FnWnsIktSuVDaTzcx7gddWKPtjZi4pn94P9Cy3DwTGZebbmfkcMAPYuXzMyMxnM/MdYBxwYBSrdfYCbi6Pvxo4qKatq8vtm4G9y/oN9SFJUiVa857sscAfyu0ewMyafbPKsobKNwFerwnsZeXLtVXun1fWb6it94iI0RExOSImz5kzZ7VOTpKkVgnZiDgDWAJc3xr9r0xmXpaZQzJzyLL3kUqStKpa/H2yEXE0cACwd/7z/UOzgS1qqvUsy2ig/FWga0R0KmertfWXtTUrIjoBG5b1G+tDkqRm16Iz2YgYCpwKfC4zF9TsmgCMKFcG9wG2AR4EHgK2KVcSr0WxcGlCGc53AYeWxx8FjK9p66hy+1DgzrJ+Q31IklSJymayEXED8Glg04iYBZxFsZp4beCO8pOG7s/ML2fmtIi4CXiC4jLyV5et+o2IrwETgY7A2MycVnbxbWBcRJwL/BW4oiy/Arg2ImZQLLwaAdBYH5IkVcFPfFqJ5v7EJ9/CI0ltn5/4JElSKzNkJUmqiCErSVJFDFlJkipiyEqSVBFDVpKkihiykiRVxJCVJKkihqwkSRUxZCVJqoghK0lSRQxZSZIqYshKklQRQ1aSpIoYspIkVcSQlSSpIoasJEkVMWQlSaqIIStJUkUMWUmSKmLISpJUEUNWkqSKGLKSJFXEkJUkqSKGrCRJFTFkJUmqiCErSVJFDFlJkipiyEqSVBFDVpKkihiykiRVxJCVJKkihqwkSRUxZCVJqoghK0lSRQxZSZIqYshKklQRQ1aSpIoYspIkVcSQlSSpIoasJEkVMWQlSaqIIStJUkUMWUmSKmLISpJUEUNWkqSKGLKSJFXEkJUkqSKGrCRJFTFkJUmqiCErSVJFKgvZiBgbES9HxOM1ZRtHxB0R8Uz550ZleUTERRExIyIei4jBNcccVdZ/JiKOqinfKSKmlsdcFBGxun1IklSFKmeyVwFDVyg7DZiUmdsAk8rnAMOAbcrHaOASKAITOAvYBdgZOGtZaJZ1jq85bujq9CFJUlUqC9nMvBd4bYXiA4Gry+2rgYNqyq/Jwv1A14jYDNgPuCMzX8vMucAdwNByX5fMvD8zE7hmhbZWpQ9JkirR0vdkP5yZL5bb/wA+XG73AGbW1JtVljVWPque8tXp4z0iYnRETI6IyXPmzGniqUmStLxWW/hUzkBzTewjMy/LzCGZOaRbt24VjEyS9EHQ0iH70rJLtOWfL5fls4Etaur1LMsaK+9ZT/nq9CFJUiVaOmQnAMtWCB8FjK8p/1K5AnhXYF55yXcisG9EbFQueNoXmFjumx8Ru5arir+0Qlur0ockSZXoVFXDEXED8Glg04iYRbFK+AfATRExCvg7cHhZ/TZgf2AGsAA4BiAzX4uI7wEPlfXOycxli6lOoFjBvC7wh/LBqvYhSVJVKgvZzBzZwK6966mbwFcbaGcsMLae8slA/3rKX13VPiRJqoKf+CRJUkUMWUmSKmLISpJUEUNWkqSKGLKSJFXEkJUkqSKGrCRJFTFkJUmqiCErSVJFDFlJkipiyEqSVBFDVpKkihiykiRVxJCVJKkihqwkSRUxZCVJqoghK0lSRQxZSZIqYshKklQRQ1aSpIoYspIkVcSQlSSpIoasJEkVMWQlSaqIIStJUkUMWUmSKmLISpJUEUNWkqSKGLKSJFXEkJUkqSKGrCRJFTFkJUmqiCErSVJFDFlJkipiyKrNGDNmDP369aN///6MHDmSRYsWMWrUKAYOHMiAAQM49NBDefPNNwG49957GTx4MJ06deLmm2+ua+Ouu+5i0KBBdY911lmH3/72twAcccQRfOxjH6N///4ce+yxLF68uO64u+++m0GDBtGvXz8+9alPteyJS2qzDFm1CbNnz+aiiy5i8uTJPP7447z77ruMGzeOMWPG8Oijj/LYY4/Rq1cvfv7znwPQq1cvrrrqKr7whS8s186ee+7JlClTmDJlCnfeeSfrrbce++67L1CE7PTp05k6dSoLFy7k8ssvB+D111/nhBNOYMKECUybNo1f/epXLXvyktqsTq09AKmplixZwsKFC+ncuTMLFixg8803p0uXLgBkJgsXLiQiAOjduzcAHTo0/HvkzTffzLBhw1hvvfUA2H///ev27bzzzsyaNQuA//7v/2b48OH06tULgO7duzf7uUlqn5zJqk3o0aMHp5xyCr169WKzzTZjww03rJuBHnPMMXzkIx9h+vTpnHjiiU1uc9y4cYwcOfI95YsXL+baa69l6NChADz99NPMnTuXT3/60+y0005cc801zXNSkto9Q1Ztwty5cxk/fjzPPfccL7zwAm+99RbXXXcdAFdeeSUvvPACffv25cYbb2xSey+++CJTp05lv/32e8++E044gT322INPfvKTQDGDfvjhh7n11luZOHEi3/ve93j66aeb7+QktVuGrNqEP/3pT/Tp04du3brRuXNnhg8fzn333Ve3v2PHjowYMYJbbrmlSe3ddNNNHHzwwXTu3Hm58rPPPps5c+bwk5/8pK6sZ8+e7LfffnzoQx9i0003ZY899uDRRx9tnhOT1K4ZsmoTevXqxf3338+CBQvITCZNmkTfvn2ZMWMGUNyTnTBhAtttt12T2rvhhhvec6n48ssvZ+LEidxwww3L3cs98MAD+fOf/8ySJUtYsGABDzzwAH379m2+k5PUbrnwSW3CLrvswqGHHlr3tpwdd9yR0aNHs9deezF//nwyk4EDB3LJJZcA8NBDD3HwwQczd+5cfve733HWWWcxbdo0AP72t78xc+bM97wV58tf/jJbbrklu+22GwDDhw/nO9/5Dn379mXo0KEMGDCADh06cNxxx9G/f/+WfQEktUmRma09hjXakCFDcvLkyc3WXu/Tbm22tprb337wmdYegiS1CRHxcGYOWVk9LxdLklQRQ1aSpIp4T1Ztw3c3bO0RNOy781p7BJLWUM5kJUmqiCErSVJFDFlJkipiyEqSVBFDVpKkirRKyEbENyNiWkQ8HhE3RMQ6EdEnIh6IiBkRcWNErFXWXbt8PqPc37umndPL8qciYr+a8qFl2YyIOK2mvN4+JEmqQouHbET0AL4ODMnM/kBHYARwATAmM7cG5gKjykNGAXPL8jFlPSJi+/K4fsBQ4BcR0TEiOgIXA8OA7YGRZV0a6UOSpGbXWpeLOwHrRkQnYD3gRWAv4OZy/9XAQeX2geVzyv17R/HN3AcC4zLz7cx8DpgB7Fw+ZmTms5n5DjAOOLA8pqE+JElqdi0espk5G/gR8DxFuM4DHgZez8wlZbVZQI9yuwcwszx2SVl/k9ryFY5pqHyTRvpYTkSMjojJETF5zpw5q3+ykqQPtNa4XLwRxSy0D7A58CGKy71rjMy8LDOHZOaQbt26tfZwJEltVGtcLv5X4LnMnJOZi4FfAx8HupaXjwF6ArPL7dnAFgDl/g2BV2vLVzimofJXG+lDkqRm1xoh+zywa0SsV94n3Rt4ArgLOLSscxQwvtyeUD6n3H9nFt/PNwEYUa4+7gNsAzwIPARsU64kXoticdSE8piG+pAkqdm1xj3ZBygWHz0CTC3HcBnwbeDkiJhBcf/0ivKQK4BNyvKTgdPKdqYBN1EE9O3AVzPz3fKe69eAicCTwE1lXRrpQ5KkZtcq38KTmWcBZ61Q/CzFyuAV6y4CDmugnfOA8+opvw24rZ7yevuQJKkKfuKTJEkVMWQlSaqIIStJUkUMWUmSKmLISpJUEUNWkqSKGLKSJFXEkJUkqSKGrCRJFTFkJUmqiCErSVJFDFlJkipiyEqSVBFDVpKkihiykiRVxJCVJKkihqwkSRUxZCVJqoghK0lSRQxZSZIqYshKklSRlYZsRGzSEgORJKm9acpM9v6I+FVE7B8RUfmIJElqJ5oSstsClwFHAs9ExPcjYttqhyVJUtu30pDNwh2ZORI4HjgKeDAi7omI3SofoSRJbVSnlVUo78l+kWIm+xJwIjABGAT8CuhT5QAlSWqrVhqywP8C1wIHZeasmvLJEXFpNcOSJKnta0rIfiwzs74dmXlBM49HkqR2oykLn/4YEV2XPYmIjSJiYoVjkiSpXWhKyHbLzNeXPcnMuUD36oYkSVL70JSQfTciei17EhFbAvVePpYkSf/UlHuyZwB/joh7gAA+CYyudFSSJLUDKw3ZzLw9IgYDu5ZFJ2XmK9UOS5Kktq8pM1mAtYHXyvrbRwSZeW91w5Ikqe1ryodRXAB8HpgGLC2LEzBkJUlqRFNmsgdRvFf27aoHI0lSe9KU1cXPAp2rHogkSe1NU2ayC4ApETEJqJvNZubXKxuVJEntQFNCdkL5kCRJq6Apb+G5OiLWBXpl5lMtMCZJktqFld6TjYjPAlOA28vngyLCma0kSSvRlIVP3wV2Bl4HyMwpwFYVjkmSpHahKSG7ODPnrVC2tN6akiSpTlMWPk2LiC8AHSNiG+DrwH3VDkuSpLavKTPZE4F+FG/fuQGYD5xU5aAkSWoPmrK6eAHFN/GcUf1wJElqP5ry2cV3Uc/3x2bmXpWMSJKkdqIp92RPqdleBzgEWFLNcCRJaj+acrn44RWK/hIRD1Y0HkmS2o2mXC7euOZpB2AnYMPKRiRJUjvRlMvFD1Pckw2Ky8TPAaOqHJQkSe3BSt/Ck5l9MnOr8s9tMnPfzPzz++k0IrpGxM0RMT0inoyI3SJi44i4IyKeKf/cqKwbEXFRRMyIiMciYnBNO0eV9Z+JiKNqyneKiKnlMRdFRJTl9fYhSVIVmvLZxcMbe6xmvz8Fbs/M7YCBwJPAacCkzNwGmFQ+BxgGbFM+RgOXlOPaGDgL2IXiYx/PqgnNS4Dja44bWpY31IckSc2uKZeLRwG7A3eWz/ek+MSnORSXkX+9Kh1GxIbAHsDRAJn5DvBORBwIfLqsdjVwN/Bt4EDgmsxM4P5yFrxZWfeOzHytbPcOYGhE3A10ycz7y/JrgIOAP5Rt1deHJEnNrikh2xnYPjNfBCgD7qrMPGY1++xDEdBXRsRAinu+3wA+vKwP4B/Ah8vtHsDMmuNnlWWNlc+qp5xG+lhORIymmDXTq1evVTw9SZIKTflYxS1qggngJeD9JE8nYDBwSWbuCLzFCpdty1nrez4Aozk11kdmXpaZQzJzSLdu3aochiSpHWtKyE6KiIkRcXREHA3cCvzpffQ5C5iVmQ+Uz2+mCN2Xylnystnyy+X+2cAWNcf3LMsaK+9ZTzmN9CFJUrNryurirwGXUixQGghclpknrm6HmfkPYGZEfKws2ht4ApgALFshfBQwvtyeAHypXGW8KzCvnFlPBPaNiI3KBU/7AhPLffMjYtdyVfGXVmirvj4kSWp2TbknC/AI8EZm/iki1ouIDTLzjffR74nA9RGxFvAscAxF4N8UEaOAvwOHl3VvA/YHZgALyrpk5msR8T3gobLeOcsWQQEnAFcB61IsePpDWf6DBvqQJKnZNeUTn46nWAS0MfBRikVEl1LMQFdLZk4BhtSz6z1tlvdOv9pAO2OBsfWUTwb611P+an19SJJUhabck/0q8HGK75ElM58Bulc5KEmS2oOmhOzb5XtZAYiITlS88leSpPagKSF7T0T8B7BuROwD/Ar4XbXDkiSp7WtKyJ5G8eERU4F/o1iI9J9VDkqSpPag0YVPEdGR4iMNjwB+2TJDkiSpfWh0JpuZ7wJblm+1kSRJq6Ap75N9FvhLREyg+AhEADLzJ5WNSpKkdqDBmWxEXFtufg74fVl3g5qHJElqRGMz2Z0iYnPgeeBnLTQeSZLajcZC9lKKLzbvA0yuKQ+K98luVeG4JElq8xq8XJyZF2VmX+DKzNyq5tEnMw1YSZJWoinfwvOVlhiIJEntTVM+jEKSJK0GQ1aSpIoYspIkVcSQlSSpIoasJEkVMWQlSaqIIStJUkUMWUmSKmLISpJUEUNWkqSKGLKSJFXEkJUkqSKGrCRJFTFkJUmqiCErSVJFDFlJkipiyEqSVBFDVpKkihiykiRVxJCVJKkihqwkSRUxZCVJqoghK0lSRQxZSZIqYshKklQRQ1aSpIoYspIkVcSQlSSpIoasJEkVMWQlSaqIIStJUkUMWUmSKmLISpJUEUNWkqSKGLKSJFXEkJUkqSKGrCRJFTFkJUmqiCErSVJFWi1kI6JjRPw1In5fPu8TEQ9ExIyIuDEi1irL1y6fzyj3965p4/Sy/KmI2K+mfGhZNiMiTqspr7cPSZKq0Joz2W8AT9Y8vwAYk5lbA3OBUWX5KGBuWT6mrEdEbA+MAPoBQ4FflMHdEbgYGAZsD4ws6zbWhyRJza5VQjYiegKfAS4vnwewF3BzWeVq4KBy+8DyOeX+vcv6BwLjMvPtzHwOmAHsXD5mZOazmfkOMA44cCV9SJLU7FprJnshcCqwtHy+CfB6Zi4pn88CepTbPYCZAOX+eWX9uvIVjmmovLE+lhMRoyNickRMnjNnzuqeoyTpA67FQzYiDgBezsyHW7rvpsrMyzJzSGYO6datW2sPR5LURnVqhT4/DnwuIvYH1gG6AD8FukZEp3Km2ROYXdafDWwBzIqITsCGwKs15cvUHlNf+auN9CFJUrNr8ZlsZp6emT0zszfFwqVuq4NbAAAS8klEQVQ7M/MI4C7g0LLaUcD4cntC+Zxy/52ZmWX5iHL1cR9gG+BB4CFgm3Il8VplHxPKYxrqQ5KkZrcmvU/228DJETGD4v7pFWX5FcAmZfnJwGkAmTkNuAl4Argd+GpmvlvOUr8GTKRYvXxTWbexPiRJanatcbm4TmbeDdxdbj9LsTJ4xTqLgMMaOP484Lx6ym8DbqunvN4+JEmqwpo0k5UkqV0xZCVJqoghK0lSRQxZSZIqYshKklQRQ1aSpIoYspIkVcSQlSSpIoasJEkVMWQlSaqIIStJUkUMWUmSKmLISpJUEUNWkqSKGLKSJFXEkJUkqSKGrCRJFTFkJUmqiCErSVJFDFlJkipiyEqSVBFDVpKkihiykiRVxJCVJKkihqwkSRUxZCVJqoghK0lSRQxZSZIqYshKklQRQ1aSpIoYspIkVcSQlSSpIoasJEkVMWQlSaqIIStJUkUMWUmSKmLISpJUEUNWkqSKGLKSJFXEkJUkqSKGrCRJFTFkJUmqiCErSVJFDFlJkipiyEqSVBFDVpKkihiykiRVxJCVJKkihqwkSRUxZKV27thjj6V79+7079+/rmzKlCnsuuuuDBo0iCFDhvDggw8CMH78eAYMGFBX/uc//7numKFDh9K1a1cOOOCA5dqfNGkSgwcPZtCgQXziE59gxowZAHzzm99k0KBBDBo0iG233ZauXbu2wNlKaxZDVmrnjj76aG6//fblyk499VTOOusspkyZwjnnnMOpp54KwN57782jjz7KlClTGDt2LMcdd1zdMd/61re49tpr39P+V77yFa6//nqmTJnCF77wBc4991wAxowZw5QpU5gyZQonnngiw4cPr/AspTVTi4dsRGwREXdFxBMRMS0ivlGWbxwRd0TEM+WfG5XlEREXRcSMiHgsIgbXtHVUWf+ZiDiqpnyniJhaHnNRRERjfUjt2R577MHGG2+8XFlEMH/+fADmzZvH5ptvDsD6669P+d+Ft956q24bigDeYIMN3tN+Q23VuuGGGxg5cmTznJDUhnRqhT6XAP+emY9ExAbAwxFxB3A0MCkzfxARpwGnAd8GhgHblI9dgEuAXSJiY+AsYAiQZTsTMnNuWed44AHgNmAo8Ieyzfr6kD5QLrzwQvbbbz9OOeUUli5dyn333Ve37ze/+Q2nn346L7/8MrfeeutK27r88svZf//9WXfddenSpQv333//cvv//ve/89xzz7HXXns1+3lIa7oWn8lm5ouZ+Ui5/QbwJNADOBC4uqx2NXBQuX0gcE0W7ge6RsRmwH7AHZn5WhmsdwBDy31dMvP+zEzgmhXaqq8P6QPlkksuYcyYMcycOZMxY8YwatSoun0HH3ww06dP57e//S1nnnnmStsaM2YMt912G7NmzeKYY47h5JNPXm7/uHHjOPTQQ+nYsWOzn4e0pmvVe7IR0RvYkWLG+eHMfLHc9Q/gw+V2D2BmzWGzyrLGymfVU04jfaw4rtERMTkiJs+ZM2fVT0xaw1199dV190gPO+ywuoVPtfbYYw+effZZXnnllQbbmTNnDo8++ii77LILAJ///OeXmxVDEbJeKtYHVauFbESsD9wCnJSZ82v3lTPQrLL/xvrIzMsyc0hmDunWrVuVw5Baxeabb84999wDwJ133sk222wDwIwZMyj+a8AjjzzC22+/zSabbNJgOxtttBHz5s3j6aefBuCOO+6gb9++dfunT5/O3Llz2W233ao6FWmN1hr3ZImIzhQBe31m/rosfikiNsvMF8tLvi+X5bOBLWoO71mWzQY+vUL53WV5z3rqN9aH1G6NHDmSu+++m1deeYWePXty9tln88tf/pJvfOMbLFmyhHXWWYfLLrsMgFtuuYVrrrmGzp07s+6663LjjTfWLX765Cc/yfTp03nzzTfp2bMnV1xxBfvttx+//OUvOeSQQ+jQoQMbbbQRY8eOret73LhxjBgxYrkFVNIHSSz7rbXFOiz+t10NvJaZJ9WU/xB4tWZR0saZeWpEfAb4GrA/xcKnizJz53Lh08PAstXGjwA7ZeZrEfEg8HX+ufDpZ5l5W0N9NDbeIUOG5OTJk5vt/HuftvKFJK3lbz/4TGsPoWHf3bC1R9Cw785r7RFIamER8XBmDllZvdaYyX4cOBKYGhFTyrL/AH4A3BQRo4C/A4eX+26jCNgZwALgGIAyTL8HPFTWOyczXyu3TwCuAtalWFX8h7K8oT4kSWp2LR6ymflnoKFrR3vXUz+BrzbQ1lhgbD3lk4H+9ZS/Wl8fUnu1w9U7tPYQGjT1qKmtPQSpcn7ikyRJFTFkJUmqiCErSVJFDFlJkipiyEpSPer7isAzzzyz7qsA9913X1544QUArr/+egYMGMAOO+zA7rvvzqOPPgrAokWL2HnnnRk4cCD9+vXjrLPOqmsrMznjjDPYdttt6du3LxdddBFQfIDHbrvtxtprr82PfvSjFjxjVcGQlaR61PcVgd/61rd47LHHmDJlCgcccADnnHMOAH369OGee+5h6tSpnHnmmYwePRqAtddemzvvvLPu6wNvv/32ui9QuOqqq5g5cybTp0/nySefZMSIEQBsvPHGXHTRRZxyyikteLaqiiErSfWo7ysCu3TpUrdd+1WAu+++OxttVHxz5q677sqsWcXHp0cE66+/PgCLFy9m8eLFdcdccsklfOc736FDh+LHcPfu3ev+/Jd/+Rc6d+5c4dmppRiykrQKzjjjDLbYYguuv/76uplsrSuuuIJhw4bVPX/33XcZNGgQ3bt3Z5999qn7MoX/+7//48Ybb2TIkCEMGzaMZ555psXOQS3HkJWkVXDeeecxc+ZMjjjiCH7+858vt++uu+7iiiuu4IILLqgr69ixI1OmTGHWrFk8+OCDPP744wC8/fbbrLPOOkyePJnjjz+eY489tkXPQy3DkJWk1XDEEUdwyy231D1/7LHHOO644xg/fny931zUtWtX9txzz7r7vD179qz7usGDDz6Yxx57rGUGrhZlyEpSE9Ve0h0/fjzbbbcdAM8//zzDhw/n2muvZdttt62rM2fOHF5//XUAFi5cyB133FF3zEEHHcRdd90FwD333LPccWo/WuWr7iRpTVffVwTedtttPPXUU3To0IEtt9ySSy+9FIBzzjmHV199lRNOOAGATp06MXnyZF588UWOOuoo3n33XZYuXcrhhx/OAQccAMBpp53GEUccwZgxY1h//fW5/PLLAfjHP/7BkCFDmD9/Ph06dODCCy/kiSeeWG7RldqOFv+qu7bGr7pbQ/hVd6vFLwiQqtHUr7rzcrEkSRXxcrEkreDJ7fq29hAa1Hf6k609BK0CZ7KSJFXEkJUkqSKGrCRJFTFkJUmqiCErSVJFDFlJkipiyEqSVBFDVpKkihiykiRVxJCVJKkihqwkSRUxZCVJqoghK0lSRQxZSZIqYshKklQRQ1aSpIoYspIkVcSQlSSpIoasJEkVMWQlSaqIIStJUkUMWUmSKmLISpJUEUNWkqSKGLKSJFXEkJUkqSKGrCRJFTFkJUmqiCErSWo2M2fOZM8992T77benX79+/PSnPwXg0UcfZbfddmOHHXbgs5/9LPPnzwfgnXfe4ZhjjmGHHXZg4MCB3H333XVtvfPOO4wePZptt92W7bbbjltuuaU1Tul96dTaA5AktR+dOnXixz/+MYMHD+aNN95gp512Yp999uG4447jRz/6EZ/61KcYO3YsP/zhD/ne977HL3/5SwCmTp3Kyy+/zLBhw3jooYfo0KED5513Ht27d+fpp59m6dKlvPbaa618dqvOmawkqdlsttlmDB48GIANNtiAvn37Mnv2bJ5++mn22GMPAPbZZ5+6WekTTzzBXnvtBUD37t3p2rUrkydPBmDs2LGcfvrpAHTo0IFNN920pU/nfTNkJUmV+Nvf/sZf//pXdtllF/r168f48eMB+NWvfsXMmTMBGDhwIBMmTGDJkiU899xzPPzww8ycOZPXX38dgDPPPJPBgwdz2GGH8dJLL7XauawuQ1aS1OzefPNNDjnkEC688EK6dOnC2LFj+cUvfsFOO+3EG2+8wVprrQXAscceS8+ePRkyZAgnnXQSu+++Ox07dmTJkiXMmjWL3XffnUceeYTddtuNU045pZXPatV5T1aS1KwWL17MIYccwhFHHMHw4cMB2G677fjjH/8IwNNPP82tt94KFPdwx4wZU3fs7rvvzrbbbssmm2zCeuutV3f8YYcdxhVXXNHCZ/L+OZOVJDWbzGTUqFH07duXk08+ua785ZdfBmDp0qWce+65fPnLXwZgwYIFvPXWWwDccccddOrUie23356I4LOf/WzdauNJkyax/fbbt+zJNANnspKkZvOXv/yFa6+9lh122IFBgwYB8P3vf59nnnmGiy++GIDhw4dzzDHHAEX47rfffnTo0IEePXpw7bXX1rV1wQUXcOSRR3LSSSfRrVs3rrzyypY/offpAxmyETEU+CnQEbg8M3/QykOSpHbhE5/4BJlZ775vfOMb7ynr3bs3Tz31VL31t9xyS+69995mHV9L+8BdLo6IjsDFwDBge2BkRLS9axCSpDXeB3EmuzMwIzOfBYiIccCBwBOtOipJauMu/vKdrT2EBn310r1apd9oaFrfXkXEocDQzDyufH4ksEtmfq2mzmhgdPn0Y0D91zJa36bAK609iDbI1231+dqtHl+31bMmv25bZma3lVX6IM5kVyozLwMua+1xrExETM7MIa09jrbG1231+dqtHl+31dMeXrcP3D1ZYDawRc3znmWZJEnN6oMYsg8B20REn4hYCxgBTGjlMUmS2qEP3OXizFwSEV8DJlK8hWdsZk5r5WGtrjX+kvYaytdt9fnarR5ft9XT5l+3D9zCJ0mSWsoH8XKxJEktwpCVJKkiH7h7spKaLiLWAbYun87IzEWtOR6prXEmq3YtIraOiI/XU/7xiPhoa4ypLYiIThHxX8As4GrgGmBmRPxXRHRu3dGpPYqIXq09hio4k20jIuJnQIOr1DLz6y04nLbkQuD0esrnl/s+27LDaTN+CGwA9MnMNwAiogvwo/Lx3k96FwAR8Z1Gdmdmfq/FBtO2/BYYDBARt2TmIa08nmZhyLYdk2u2zwbOaq2BtDEfzsypKxZm5tSI6N3yw2kzDgC2zZq3H2Tm/Ij4CjAdQ7Yxb9VTth5wHLAJYMjWL2q2t2q1UTQzQ7aNyMyrl21HxEm1z9Woro3sW7fFRtH2ZNbz/r7MfDcifN9fIzLzx8u2I2IDil9IjgXGAT9u6Dgtd6Wu3fwb855s29Ru/gG2gMkRcfyKhRFxHPBwK4ynrXgiIr60YmFEfJFiJqtGRMTGEXEu8BjFZGZwZn47M19u5aGtyQZGxPyIeAMYUG7Pj4g3ImJ+aw9udflhFG1QRDySmYNbexxtQUR8GPgN8A7/DNUhwFrAwZn5j9Ya25osInoAvwYWsvzrti7F6+bnfTcgIn4IDKf4tKKLM/PNVh6SWpEh20aUv90t+8taD1iwbBfFpb0urTKwNiIi9gT6l0+nZeaa+8WXa5CI2AvoVz59IjMnteZ42oKIWAq8DSxh+atO/l/9ADJkJUmqiPdkJUmqiCErSVJFDFmpnYuI/6io3UERsX8VbUvthSErtX+VhCwwCDBkpUYYslI7ERG/jYiHI2JaRIwuy34ArBsRUyLi+rLs5Ih4vHycVJb1jojpEXFVRDwdEddHxL9GxF8i4pmI2HmFvtYCzgE+X7b9+bJet3J/h4iYERHdyjYvjYjJZdsHlHU6RsQPI+KhiHgsIv6tBV8uqUW4ulhqJyJi48x8LSLWBR4CPpWZr0bEm5m5fllnJ+AqYFeKt5Q8AHwRmAvMAHYEppXHPwqMAj4HHJOZB63Q39HAkMz8Wvn8LGBeZl4YEfsC/5aZh0TEVcBHKGa9HwXuovhmny8B3TPz3IhYG/gLcFhmPlfJCyS1AmeyUvvx9Yh4FLgf2ALYpp46nwB+k5lvlR+S8Gvgk+W+5zJzamYupQjaSeVHK04Fejeh/7EUwQnFxwheWbPvpsxcmpnPAM8C2wH7Al+KiCkUYb9JA2OW2iw/u1hqByLi08C/Artl5oKIuBtYZxWbebtme2nN86U04WdFZs6MiJfKD7DYGTiidveK1Slm0idm5sRVHKfUZjiTldqHDYG5ZcBuR3E5eJnFNd8B+z/AQRGxXkR8CDi4LFsdb1B8HV6ty4HrgF9l5rs15YeV92k/SvENK08BE4GvLBtbRGxbjklqNwxZqX24HegUEU8CP6C4ZLzMZcBjEXF9Zj5CcU/2QYpLtJdn5l9Xs8+7gO2XLXwqyyYA67P8pWKA58s+/wB8OTMXUQTyE8AjEfE48P/w6praGRc+SWo2ETEEGJOZn6wpuwr4fWbe3GoDk1qJvzVKahYRcRrwFZa/Fyt9oDmTlSSpIt6TlSSpIoasJEkVMWQlSaqIIStJUkUMWUmSKmLISpJUkf8PRHm4dTED9E0AAAAASUVORK5CYII=\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"## Number of atoms in molecule"},{"metadata":{"trusted":true},"cell_type":"code","source":"l = []\nfor i,f in enumerate(listdir(root+'structures/')):\n    path = root+'structures/'+ f\n    file = open(path,'r')\n    l.append(int(file.readline()))\n    file.close()\n    if i == 20000: break ## take small sample\nl = np.array(l)\nplt.figure(figsize=(8,5))\nplt.title('Distribution of number of atoms in molecule')\nplt.ylabel('Number of molecules')\nplt.xlabel('number of atoms')\nplt.hist(l,bins=10)\nplt.show()","execution_count":43,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 576x360 with 1 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"print('minimum number atoms in a molecule for our sample is {}'.format(l.min()))\nprint('maximum number atoms in a molecule for our sample is {}'.format(l.max()))\nprint('average number atoms in a molecule for our sample is {}'.format(int(l.mean())))","execution_count":44,"outputs":[{"output_type":"stream","text":"minimum number atoms in a molecule for our sample is 7\nmaximum number atoms in a molecule for our sample is 29\naverage number atoms in a molecule for our sample is 18\n","name":"stdout"}]},{"metadata":{},"cell_type":"markdown","source":"## Coordinates"},{"metadata":{"trusted":true},"cell_type":"code","source":"plt.figure(figsize=(15,5))\nplt.subplot(1, 3, 1)\nplt.title('Distribution of coordinate x')\nplt.ylabel('frequency')\nplt.xlabel('x')\nplt.hist(dataframes['structures']['x'].values,bins=200)\n\nplt.subplot(1, 3, 2)\nplt.title('Distribution of coordinate y')\nplt.ylabel('frequency')\nplt.xlabel('y')\nplt.hist(dataframes['structures']['y'].values,bins=200)\n\nplt.subplot(1, 3, 3)\nplt.title('Distribution of coordinate z')\nplt.ylabel('frequency')\nplt.xlabel('z')\nplt.hist(dataframes['structures']['z'].values,bins=200)\n\nplt.tight_layout()\nplt.show()","execution_count":45,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1080x360 with 3 Axes>","image/png":"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\n"},"metadata":{}}]}],"metadata":{"kernelspec":{"display_name":"Python 3","language":"python","name":"python3"},"language_info":{"codemirror_mode":{"name":"ipython","version":3},"file_extension":".py","mimetype":"text/x-python","name":"python","nbconvert_exporter":"python","pygments_lexer":"ipython3","version":"3.6.4"}},"nbformat":4,"nbformat_minor":1}