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9_ligandbased_pharmacophores.ipynb
22694 lines (22694 with data), 1.4 MB
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]
},
{
"cell_type": "markdown",
"source": [
"# 9. Ligand-based pharmacophores"
],
"metadata": {
"id": "o-zof0c4OBZH"
}
},
{
"cell_type": "code",
"source": [
"pip install rdkit nglview"
],
"metadata": {
"id": "M_c-nar6U21o"
},
"execution_count": null,
"outputs": []
},
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"id": "1t4of_NNNrcj",
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{
"output_type": "display_data",
"data": {
"text/plain": [],
"application/vnd.jupyter.widget-view+json": {
"version_major": 2,
"version_minor": 0,
"model_id": "f53b36917718478f97c6aeac54d4b529"
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},
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}
],
"source": [
"import collections\n",
"from collections import Counter\n",
"from pathlib import Path\n",
"import operator\n",
"import time\n",
"import math\n",
"\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"from mpl_toolkits.mplot3d import Axes3D\n",
"from sklearn import datasets, cluster\n",
"\n",
"from rdkit import RDConfig, Chem, Geometry, DistanceGeometry\n",
"from rdkit.Chem import (\n",
" ChemicalFeatures,\n",
" rdDistGeom,\n",
" Draw,\n",
" rdMolTransforms,\n",
" AllChem,\n",
")\n",
"from rdkit.Chem.Draw import DrawingOptions\n",
"from rdkit.Chem.Pharm3D import Pharmacophore, EmbedLib\n",
"from rdkit.Numerics import rdAlignment\n",
"import nglview as nv"
]
},
{
"cell_type": "code",
"source": [
"from pathlib import Path"
],
"metadata": {
"id": "GPoUwuOKbF29"
},
"execution_count": 41,
"outputs": []
},
{
"cell_type": "code",
"source": [
"# Define paths\n",
"HERE = Path(_dh[-1])\n",
"DATA = HERE / \"data\""
],
"metadata": {
"id": "IoyWC4nCWvOh"
},
"execution_count": 43,
"outputs": []
},
{
"cell_type": "code",
"source": [
"mol_files = sorted(Path(DATA).glob(\"*_lig.pdb\"))\n",
"print([f.name for f in mol_files])"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "wABxmhPaVWBT",
"outputId": "9602961d-bd14-441b-b680-6b439f6023b0"
},
"execution_count": 44,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"['5HG8_lig.pdb', '5UG8_lig.pdb', '5UG9_lig.pdb', '5UGC_lig.pdb']\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"# NBVAL_CHECK_OUTPUT\n",
"pdb_ids = [Path(file).stem.split(\"_\")[0] for file in mol_files]\n",
"pdb_ids"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "zLwej8K4bfql",
"outputId": "df820ef0-4208-4a4f-8e05-76b7ee11c8be"
},
"execution_count": 45,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"['5HG8', '5UG8', '5UG9', '5UGC']"
]
},
"metadata": {},
"execution_count": 45
}
]
},
{
"cell_type": "code",
"source": [
"# NBVAL_CHECK_OUTPUT\n",
"molecules = []\n",
"for mol_file in mol_files:\n",
" molecule = Chem.MolFromPDBFile(str(mol_file), removeHs=False)\n",
" if molecule is None:\n",
" print(mol_file, \"Could not be read\")\n",
" else:\n",
" Chem.SanitizeMol(molecule)\n",
" print(Chem.MolToSmiles(molecule))\n",
" molecules.append(molecule)\n",
"print(f\"Number of molecules: {len(molecules)}\")"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "-JjXWmfJbimT",
"outputId": "ab09ecd6-3526-433a-f13f-2705f8ceeda9"
},
"execution_count": 46,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"CCC(O)NC1CCCC(OC2NC(NC3CNN(C)C3)NC3NCCC32)C1\n",
"CCC(O)NC1CN(C2NC(NC3CNN(C)C3)C3NCN(C(C)C)C3N2)CC1F\n",
"CCC(O)NC1CN(C2NC(NC3CN(C)NC3OC)C3NCN(C(C)C)C3N2)CC1F\n",
"CCC(O)NC1CN(C2NC(NC3CN(C)NC3OC)C3NCN(C)C3N2)CC1F\n",
"Number of molecules: 4\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"Draw.MolsToGridImage(\n",
" molecules,\n",
" molsPerRow=4,\n",
" legends=[f\"From PDB ID: {pdb_id}\" for pdb_id in pdb_ids],\n",
")"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 203
},
"id": "IOWUrQBsbmM9",
"outputId": "09a6626c-458c-423c-b70b-4d33d9ac2a19"
},
"execution_count": 47,
"outputs": [
{
"output_type": "execute_result",
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"execution_count": 47
}
]
},
{
"cell_type": "code",
"source": [
"# Load SMILES for PDB ligand structures\n",
"ligands = pd.read_csv(HERE / \"PDB_top_ligands.csv\")\n",
"\n",
"# Get SMILES in the same order as in pdb_ids\n",
"ligand_smiles = [\n",
" ligands[ligands[\"@structureId\"] == pdb_id][\"smiles\"].values[0] for pdb_id in pdb_ids\n",
"]\n",
"\n",
"# Generate RDKit Mol object from SMILES\n",
"reference_molecules = [Chem.MolFromSmiles(smiles) for smiles in ligand_smiles]\n",
"\n",
"# Assign bond orders to molecules based on SMILES patterns of reference molecules\n",
"molecules = [\n",
" AllChem.AssignBondOrdersFromTemplate(reference_molecule, molecule)\n",
" for reference_molecule, molecule in zip(reference_molecules, molecules)\n",
"]"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "veEnhoRDb6fb",
"outputId": "c4638a6b-8287-4643-efe9-e5a693a447c7"
},
"execution_count": 49,
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": [
"[15:08:10] WARNING: More than one matching pattern found - picking one\n",
"\n",
"[15:08:10] WARNING: More than one matching pattern found - picking one\n",
"\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"Draw.MolsToGridImage(\n",
" molecules,\n",
" molsPerRow=4,\n",
" legends=[f\"From PDB ID: {pdb_id}\" for pdb_id in pdb_ids],\n",
")"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 203
},
"id": "7vksZG4WcPPt",
"outputId": "1f992588-240e-4178-cd33-502ac4bce8ec"
},
"execution_count": 50,
"outputs": [
{
"output_type": "execute_result",
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"execution_count": 50
}
]
},
{
"cell_type": "code",
"source": [
"molecules_2d = []\n",
"for molecule in molecules:\n",
" tmp = Chem.Mol(molecule)\n",
" AllChem.Compute2DCoords(tmp)\n",
" molecules_2d.append(tmp)\n",
"Draw.MolsToGridImage(\n",
" molecules_2d,\n",
" molsPerRow=4,\n",
" legends=[f\"From PDB ID: {pdb_id}\" for pdb_id in pdb_ids],\n",
")"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 203
},
"id": "fdwAhHOrcXYT",
"outputId": "e86d9d41-42fc-4a4b-cb8b-c3b242983028"
},
"execution_count": 51,
"outputs": [
{
"output_type": "execute_result",
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"execution_count": 51
}
]
},
{
"cell_type": "code",
"source": [
"def show_ligands(molecules):\n",
" \"\"\"Generate a view of the ligand molecules.\n",
"\n",
" Parameters\n",
" -----------\n",
" molecules: list of rdkit.Chem.rdchem.Mol\n",
"\n",
" Returns\n",
" ----------\n",
" nglview.widget.NGLWidget\n",
" \"\"\"\n",
" view = nv.NGLWidget()\n",
" for molecule in molecules:\n",
" component = view.add_component(molecule)\n",
" time.sleep(0.1)\n",
" component.clear()\n",
" component.add_ball_and_stick(multipleBond=True)\n",
" return view"
],
"metadata": {
"id": "XLaXq_SlchCp"
},
"execution_count": 52,
"outputs": []
},
{
"cell_type": "code",
"source": [
"from google.colab import output\n",
"output.enable_custom_widget_manager()"
],
"metadata": {
"id": "evhkkC7NcpWD"
},
"execution_count": 54,
"outputs": []
},
{
"cell_type": "code",
"source": [
"view = show_ligands(molecules)\n",
"view"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 317,
"referenced_widgets": [
"85c0a319c870417d9855a517d1c9c41c",
"4a3cee6ed3bd401db99d2b05635a3ccd",
"6acc0e7a45464d72b8ca7fe212486864",
"b3f7840578954735bc1f6d2e41c69142",
"816291b2e8d44a4d91026b71a96b66c3",
"6076130da9ee42cfa7c36467519ddedf",
"09b7e5b0b6bf4e17a2b4cdec4dd94b19",
"9e665fa05c8c4fa482c97192d87e03a1",
"bdbf2d8c54904602a74bdae5f13686b7",
"19fe70dde2b14fbcaa5d085b777278e0",
"b60c0d14a30447f680456a6076439b29",
"3fa6d9a45f9f48529ae4970f1473abb5",
"241622d6862d4d7f8f9fdfef802ccd59"
]
},
"id": "ZSAlz-tYcnJh",
"outputId": "16e06c18-b575-469b-80a2-23c43acb6a8c"
},
"execution_count": 55,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"NGLWidget()"
],
"application/vnd.jupyter.widget-view+json": {
"version_major": 2,
"version_minor": 0,
"model_id": "6acc0e7a45464d72b8ca7fe212486864"
}
},
"metadata": {
"application/vnd.jupyter.widget-view+json": {
"colab": {
"custom_widget_manager": {
"url": "https://ssl.gstatic.com/colaboratory-static/widgets/colab-cdn-widget-manager/b3e629b1971e1542/manager.min.js"
}
}
}
}
}
]
},
{
"cell_type": "code",
"source": [
"view.render_image(trim=True, factor=2, transparent=True);"
],
"metadata": {
"id": "uWXy0w_jc2qa"
},
"execution_count": 56,
"outputs": []
},
{
"cell_type": "code",
"source": [
"view._display_image()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 344
},
"id": "sPQF2gLUc5CB",
"outputId": "b64e89e7-ef5f-4a07-891c-9b3a81e969f2"
},
"execution_count": 58,
"outputs": [
{
"output_type": "execute_result",
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"execution_count": 58
}
]
},
{
"cell_type": "code",
"source": [
"feature_factory = AllChem.BuildFeatureFactory(str(Path(RDConfig.RDDataDir) / \"BaseFeatures.fdef\"))"
],
"metadata": {
"id": "PatWFoQWdDsZ"
},
"execution_count": 60,
"outputs": []
},
{
"cell_type": "code",
"source": [
"list(feature_factory.GetFeatureDefs().keys())"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "KaZnWKb4dKzo",
"outputId": "9d2c2d7b-5eb4-46a4-8367-80f0d28d4567"
},
"execution_count": 61,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"['Donor.SingleAtomDonor',\n",
" 'Acceptor.SingleAtomAcceptor',\n",
" 'NegIonizable.AcidicGroup',\n",
" 'PosIonizable.BasicGroup',\n",
" 'PosIonizable.PosN',\n",
" 'PosIonizable.Imidazole',\n",
" 'PosIonizable.Guanidine',\n",
" 'ZnBinder.ZnBinder1',\n",
" 'ZnBinder.ZnBinder2',\n",
" 'ZnBinder.ZnBinder3',\n",
" 'ZnBinder.ZnBinder4',\n",
" 'ZnBinder.ZnBinder5',\n",
" 'ZnBinder.ZnBinder6',\n",
" 'Aromatic.Arom4',\n",
" 'Aromatic.Arom5',\n",
" 'Aromatic.Arom6',\n",
" 'Aromatic.Arom7',\n",
" 'Aromatic.Arom8',\n",
" 'Hydrophobe.ThreeWayAttach',\n",
" 'Hydrophobe.ChainTwoWayAttach',\n",
" 'LumpedHydrophobe.Nitro2',\n",
" 'LumpedHydrophobe.RH6_6',\n",
" 'LumpedHydrophobe.RH5_5',\n",
" 'LumpedHydrophobe.RH4_4',\n",
" 'LumpedHydrophobe.RH3_3',\n",
" 'LumpedHydrophobe.tButyl',\n",
" 'LumpedHydrophobe.iPropyl']"
]
},
"metadata": {},
"execution_count": 61
}
]
},
{
"cell_type": "code",
"source": [
"example_molecule = molecules[0]\n",
"example_molecule"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 167
},
"id": "BOlc0jL8dOMA",
"outputId": "3e0b616e-3d12-4e74-b38e-8a8d19e72da6"
},
"execution_count": 62,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<rdkit.Chem.rdchem.Mol at 0x7c81ec34fb50>"
],
"image/png": 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\n"
},
"metadata": {},
"execution_count": 62
}
]
},
{
"cell_type": "code",
"source": [
"# NBVAL_CHECK_OUTPUT\n",
"features = feature_factory.GetFeaturesForMol(example_molecule)\n",
"print(f\"Number of features found: {len(features)}\")"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "KsbjEVdkdVWS",
"outputId": "245931b0-9474-42b3-dd2b-717b0ae34d8d"
},
"execution_count": 63,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Number of features found: 16\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"# NBVAL_CHECK_OUTPUT\n",
"features[0].GetFamily()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 35
},
"id": "7FvT61yrdZ9H",
"outputId": "c0c67077-8700-4705-8832-38c047e2854f"
},
"execution_count": 64,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"'Donor'"
],
"application/vnd.google.colaboratory.intrinsic+json": {
"type": "string"
}
},
"metadata": {},
"execution_count": 64
}
]
},
{
"cell_type": "code",
"source": [
"# NBVAL_CHECK_OUTPUT\n",
"feature_frequency = collections.Counter(sorted([feature.GetFamily() for feature in features]))\n",
"feature_frequency"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "QdpcJym8ddTB",
"outputId": "7a4abce2-07d1-4b6e-e2a3-ac8337556706"
},
"execution_count": 65,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Counter({'Acceptor': 5,\n",
" 'Aromatic': 4,\n",
" 'Donor': 4,\n",
" 'Hydrophobe': 2,\n",
" 'LumpedHydrophobe': 1})"
]
},
"metadata": {},
"execution_count": 65
}
]
},
{
"cell_type": "code",
"source": [
"molecule_feature_frequencies = []\n",
"for molecule in molecules:\n",
" features = [feature.GetFamily() for feature in feature_factory.GetFeaturesForMol(molecule)]\n",
" feature_frequency = collections.Counter(features)\n",
" molecule_feature_frequencies.append(feature_frequency)\n",
"\n",
"feature_frequencies_df = (\n",
" pd.DataFrame(\n",
" molecule_feature_frequencies,\n",
" index=[f\"Mol{i}\" for i, _ in enumerate(molecules, 1)],\n",
" )\n",
" .fillna(0)\n",
" .astype(int)\n",
")\n",
"feature_frequencies_df.transpose()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
},
"id": "Dz3zQJGRdhyd",
"outputId": "29635f28-67b7-4e06-d167-09034e0dea76"
},
"execution_count": 66,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
" Mol1 Mol2 Mol3 Mol4\n",
"Donor 4 2 2 2\n",
"Acceptor 5 6 7 7\n",
"Aromatic 4 3 3 3\n",
"Hydrophobe 2 1 1 1\n",
"LumpedHydrophobe 1 1 1 0\n",
"PosIonizable 0 1 1 1"
],
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"\n",
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" <div id=\"df-75459495-9340-4a50-91cf-b1c3e860f6a3\">\n",
" <div class=\"colab-df-container\">\n",
" <div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
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" displayQuickchartButton(document);\n",
" </script>\n",
" <style>\n",
" .colab-df-container {\n",
" display:flex;\n",
" flex-wrap:wrap;\n",
" gap: 12px;\n",
" }\n",
"\n",
" .colab-df-convert {\n",
" background-color: #E8F0FE;\n",
" border: none;\n",
" border-radius: 50%;\n",
" cursor: pointer;\n",
" display: none;\n",
" fill: #1967D2;\n",
" height: 32px;\n",
" padding: 0 0 0 0;\n",
" width: 32px;\n",
" }\n",
"\n",
" .colab-df-convert:hover {\n",
" background-color: #E2EBFA;\n",
" box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
" fill: #174EA6;\n",
" }\n",
"\n",
" [theme=dark] .colab-df-convert {\n",
" background-color: #3B4455;\n",
" fill: #D2E3FC;\n",
" }\n",
"\n",
" [theme=dark] .colab-df-convert:hover {\n",
" background-color: #434B5C;\n",
" box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
" filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
" fill: #FFFFFF;\n",
" }\n",
" </style>\n",
"\n",
" <script>\n",
" const buttonEl =\n",
" document.querySelector('#df-75459495-9340-4a50-91cf-b1c3e860f6a3 button.colab-df-convert');\n",
" buttonEl.style.display =\n",
" google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
"\n",
" async function convertToInteractive(key) {\n",
" const element = document.querySelector('#df-75459495-9340-4a50-91cf-b1c3e860f6a3');\n",
" const dataTable =\n",
" await google.colab.kernel.invokeFunction('convertToInteractive',\n",
" [key], {});\n",
" if (!dataTable) return;\n",
"\n",
" const docLinkHtml = 'Like what you see? Visit the ' +\n",
" '<a target=\"_blank\" href=https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
" + ' to learn more about interactive tables.';\n",
" element.innerHTML = '';\n",
" dataTable['output_type'] = 'display_data';\n",
" await google.colab.output.renderOutput(dataTable, element);\n",
" const docLink = document.createElement('div');\n",
" docLink.innerHTML = docLinkHtml;\n",
" element.appendChild(docLink);\n",
" }\n",
" </script>\n",
" </div>\n",
" </div>\n"
]
},
"metadata": {},
"execution_count": 66
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<google.colab._quickchart_helpers.SectionTitle at 0x7c81ec3fa230>"
],
"text/html": [
"<h4 class=\"colab-quickchart-section-title\">Values</h4>\n",
"<style>\n",
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"</style>"
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},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"import numpy as np\n",
"from google.colab import autoviz\n",
"\n",
"def value_plot(df, y, figscale=1):\n",
" from matplotlib import pyplot as plt\n",
" df[y].plot(kind='line', figsize=(8 * figscale, 4 * figscale), title=y)\n",
" plt.gca().spines[['top', 'right']].set_visible(False)\n",
" plt.tight_layout()\n",
" return autoviz.MplChart.from_current_mpl_state()\n",
"\n",
"chart = value_plot(_df_0, *['Mol1'], **{})\n",
"chart"
],
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" \n",
" </div>\n",
" <script></script>\n",
" <script type=\"text/javascript\">\n",
" (() => {\n",
" const chartElement = document.getElementById(\"chart-cff9eb37-e634-4dc1-87d5-1a99c0842e1d\");\n",
" async function getCodeForChartHandler(event) {\n",
" const chartCodeResponse = await google.colab.kernel.invokeFunction(\n",
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},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"import numpy as np\n",
"from google.colab import autoviz\n",
"\n",
"def value_plot(df, y, figscale=1):\n",
" from matplotlib import pyplot as plt\n",
" df[y].plot(kind='line', figsize=(8 * figscale, 4 * figscale), title=y)\n",
" plt.gca().spines[['top', 'right']].set_visible(False)\n",
" plt.tight_layout()\n",
" return autoviz.MplChart.from_current_mpl_state()\n",
"\n",
"chart = value_plot(_df_1, *['Mol2'], **{})\n",
"chart"
],
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"\">\n",
" \n",
" </div>\n",
" <script></script>\n",
" <script type=\"text/javascript\">\n",
" (() => {\n",
" const chartElement = document.getElementById(\"chart-863155e3-5722-4292-8a94-f8643cbf20f3\");\n",
" async function getCodeForChartHandler(event) {\n",
" const chartCodeResponse = await google.colab.kernel.invokeFunction(\n",
" 'getCodeForChart', [\"chart-863155e3-5722-4292-8a94-f8643cbf20f3\"], {});\n",
" const responseJson = chartCodeResponse.data['application/json'];\n",
" await google.colab.notebook.addCell(responseJson.code, 'code');\n",
" }\n",
" chartElement.onclick = getCodeForChartHandler;\n",
" })();\n",
" </script>\n",
" <style>\n",
" .colab-quickchart-chart-with-code {\n",
" display: block;\n",
" float: left;\n",
" border: 1px solid transparent;\n",
" }\n",
"\n",
" .colab-quickchart-chart-with-code:hover {\n",
" cursor: pointer;\n",
" border: 1px solid #aaa;\n",
" }\n",
" </style>"
]
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"import numpy as np\n",
"from google.colab import autoviz\n",
"\n",
"def value_plot(df, y, figscale=1):\n",
" from matplotlib import pyplot as plt\n",
" df[y].plot(kind='line', figsize=(8 * figscale, 4 * figscale), title=y)\n",
" plt.gca().spines[['top', 'right']].set_visible(False)\n",
" plt.tight_layout()\n",
" return autoviz.MplChart.from_current_mpl_state()\n",
"\n",
"chart = value_plot(_df_2, *['Mol3'], **{})\n",
"chart"
],
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"\">\n",
" \n",
" </div>\n",
" <script></script>\n",
" <script type=\"text/javascript\">\n",
" (() => {\n",
" const chartElement = document.getElementById(\"chart-3b6d4621-3418-4aff-92d3-fefee85bbee4\");\n",
" async function getCodeForChartHandler(event) {\n",
" const chartCodeResponse = await google.colab.kernel.invokeFunction(\n",
" 'getCodeForChart', [\"chart-3b6d4621-3418-4aff-92d3-fefee85bbee4\"], {});\n",
" const responseJson = chartCodeResponse.data['application/json'];\n",
" await google.colab.notebook.addCell(responseJson.code, 'code');\n",
" }\n",
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" })();\n",
" </script>\n",
" <style>\n",
" .colab-quickchart-chart-with-code {\n",
" display: block;\n",
" float: left;\n",
" border: 1px solid transparent;\n",
" }\n",
"\n",
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" }\n",
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]
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"import numpy as np\n",
"from google.colab import autoviz\n",
"\n",
"def value_plot(df, y, figscale=1):\n",
" from matplotlib import pyplot as plt\n",
" df[y].plot(kind='line', figsize=(8 * figscale, 4 * figscale), title=y)\n",
" plt.gca().spines[['top', 'right']].set_visible(False)\n",
" plt.tight_layout()\n",
" return autoviz.MplChart.from_current_mpl_state()\n",
"\n",
"chart = value_plot(_df_3, *['Mol4'], **{})\n",
"chart"
],
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" <script></script>\n",
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" (() => {\n",
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" async function getCodeForChartHandler(event) {\n",
" const chartCodeResponse = await google.colab.kernel.invokeFunction(\n",
" 'getCodeForChart', [\"chart-017c6818-3bf4-4eb9-ba2a-2d28a1242559\"], {});\n",
" const responseJson = chartCodeResponse.data['application/json'];\n",
" await google.colab.notebook.addCell(responseJson.code, 'code');\n",
" }\n",
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" })();\n",
" </script>\n",
" <style>\n",
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"metadata": {}
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{
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"data": {
"text/plain": [
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],
"text/html": [
"<h4 class=\"colab-quickchart-section-title\">Distributions</h4>\n",
"<style>\n",
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" }\n",
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"text/plain": [
"import numpy as np\n",
"from google.colab import autoviz\n",
"\n",
"def histogram(df, colname, num_bins=20, figscale=1):\n",
" from matplotlib import pyplot as plt\n",
" df[colname].plot(kind='hist', bins=num_bins, title=colname, figsize=(8*figscale, 4*figscale))\n",
" plt.gca().spines[['top', 'right',]].set_visible(False)\n",
" plt.tight_layout()\n",
" return autoviz.MplChart.from_current_mpl_state()\n",
"\n",
"chart = histogram(_df_4, *['Mol1'], **{})\n",
"chart"
],
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" \n",
" </div>\n",
" <script></script>\n",
" <script type=\"text/javascript\">\n",
" (() => {\n",
" const chartElement = document.getElementById(\"chart-dc269d77-2683-4473-a1b6-5427d1511d71\");\n",
" async function getCodeForChartHandler(event) {\n",
" const chartCodeResponse = await google.colab.kernel.invokeFunction(\n",
" 'getCodeForChart', [\"chart-dc269d77-2683-4473-a1b6-5427d1511d71\"], {});\n",
" const responseJson = chartCodeResponse.data['application/json'];\n",
" await google.colab.notebook.addCell(responseJson.code, 'code');\n",
" }\n",
" chartElement.onclick = getCodeForChartHandler;\n",
" })();\n",
" </script>\n",
" <style>\n",
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" border: 1px solid transparent;\n",
" }\n",
"\n",
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]
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"import numpy as np\n",
"from google.colab import autoviz\n",
"\n",
"def histogram(df, colname, num_bins=20, figscale=1):\n",
" from matplotlib import pyplot as plt\n",
" df[colname].plot(kind='hist', bins=num_bins, title=colname, figsize=(8*figscale, 4*figscale))\n",
" plt.gca().spines[['top', 'right',]].set_visible(False)\n",
" plt.tight_layout()\n",
" return autoviz.MplChart.from_current_mpl_state()\n",
"\n",
"chart = histogram(_df_5, *['Mol2'], **{})\n",
"chart"
],
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"\">\n",
" \n",
" </div>\n",
" <script></script>\n",
" <script type=\"text/javascript\">\n",
" (() => {\n",
" const chartElement = document.getElementById(\"chart-d51904a4-b2c3-49ad-a23d-b98429811bad\");\n",
" async function getCodeForChartHandler(event) {\n",
" const chartCodeResponse = await google.colab.kernel.invokeFunction(\n",
" 'getCodeForChart', [\"chart-d51904a4-b2c3-49ad-a23d-b98429811bad\"], {});\n",
" const responseJson = chartCodeResponse.data['application/json'];\n",
" await google.colab.notebook.addCell(responseJson.code, 'code');\n",
" }\n",
" chartElement.onclick = getCodeForChartHandler;\n",
" })();\n",
" </script>\n",
" <style>\n",
" .colab-quickchart-chart-with-code {\n",
" display: block;\n",
" float: left;\n",
" border: 1px solid transparent;\n",
" }\n",
"\n",
" .colab-quickchart-chart-with-code:hover {\n",
" cursor: pointer;\n",
" border: 1px solid #aaa;\n",
" }\n",
" </style>"
]
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"import numpy as np\n",
"from google.colab import autoviz\n",
"\n",
"def histogram(df, colname, num_bins=20, figscale=1):\n",
" from matplotlib import pyplot as plt\n",
" df[colname].plot(kind='hist', bins=num_bins, title=colname, figsize=(8*figscale, 4*figscale))\n",
" plt.gca().spines[['top', 'right',]].set_visible(False)\n",
" plt.tight_layout()\n",
" return autoviz.MplChart.from_current_mpl_state()\n",
"\n",
"chart = histogram(_df_6, *['Mol3'], **{})\n",
"chart"
],
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" async function getCodeForChartHandler(event) {\n",
" const chartCodeResponse = await google.colab.kernel.invokeFunction(\n",
" 'getCodeForChart', [\"chart-4366589d-ff0b-4c36-b34c-14b261d5ee06\"], {});\n",
" const responseJson = chartCodeResponse.data['application/json'];\n",
" await google.colab.notebook.addCell(responseJson.code, 'code');\n",
" }\n",
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" })();\n",
" </script>\n",
" <style>\n",
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" display: block;\n",
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" }\n",
"\n",
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]
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"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"import numpy as np\n",
"from google.colab import autoviz\n",
"\n",
"def histogram(df, colname, num_bins=20, figscale=1):\n",
" from matplotlib import pyplot as plt\n",
" df[colname].plot(kind='hist', bins=num_bins, title=colname, figsize=(8*figscale, 4*figscale))\n",
" plt.gca().spines[['top', 'right',]].set_visible(False)\n",
" plt.tight_layout()\n",
" return autoviz.MplChart.from_current_mpl_state()\n",
"\n",
"chart = histogram(_df_7, *['Mol4'], **{})\n",
"chart"
],
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" (() => {\n",
" const chartElement = document.getElementById(\"chart-c37ef7f6-3f58-4259-913d-646579a16704\");\n",
" async function getCodeForChartHandler(event) {\n",
" const chartCodeResponse = await google.colab.kernel.invokeFunction(\n",
" 'getCodeForChart', [\"chart-c37ef7f6-3f58-4259-913d-646579a16704\"], {});\n",
" const responseJson = chartCodeResponse.data['application/json'];\n",
" await google.colab.notebook.addCell(responseJson.code, 'code');\n",
" }\n",
" chartElement.onclick = getCodeForChartHandler;\n",
" })();\n",
" </script>\n",
" <style>\n",
" .colab-quickchart-chart-with-code {\n",
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" }\n",
"\n",
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]
},
"metadata": {}
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{
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"data": {
"text/plain": [
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],
"text/html": [
"<h4 class=\"colab-quickchart-section-title\">2-d distributions</h4>\n",
"<style>\n",
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" clear: both;\n",
" }\n",
"</style>"
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"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"import numpy as np\n",
"from google.colab import autoviz\n",
"\n",
"def scatter_plots(df, colname_pairs, figscale=1, alpha=.8):\n",
" from matplotlib import pyplot as plt\n",
" plt.figure(figsize=(len(colname_pairs) * 10 * figscale, 10 * figscale))\n",
" for plot_i, (x_colname, y_colname) in enumerate(colname_pairs, start=1):\n",
" ax = plt.subplot(1, len(colname_pairs), plot_i)\n",
" df.plot(kind='scatter', x=x_colname, y=y_colname, s=(32 * figscale), alpha=alpha, ax=ax)\n",
" ax.spines[['top', 'right',]].set_visible(False)\n",
" plt.tight_layout()\n",
" return autoviz.MplChart.from_current_mpl_state()\n",
"\n",
"chart = scatter_plots(_df_8, *[[['Mol1', 'Mol2'], ['Mol2', 'Mol3'], ['Mol3', 'Mol4']]], **{})\n",
"chart"
],
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"\">\n",
" \n",
" </div>\n",
" <script></script>\n",
" <script type=\"text/javascript\">\n",
" (() => {\n",
" const chartElement = document.getElementById(\"chart-ec72df4c-344b-44c0-88da-b966f82f3c3e\");\n",
" async function getCodeForChartHandler(event) {\n",
" const chartCodeResponse = await google.colab.kernel.invokeFunction(\n",
" 'getCodeForChart', [\"chart-ec72df4c-344b-44c0-88da-b966f82f3c3e\"], {});\n",
" const responseJson = chartCodeResponse.data['application/json'];\n",
" await google.colab.notebook.addCell(responseJson.code, 'code');\n",
" }\n",
" chartElement.onclick = getCodeForChartHandler;\n",
" })();\n",
" </script>\n",
" <style>\n",
" .colab-quickchart-chart-with-code {\n",
" display: block;\n",
" float: left;\n",
" border: 1px solid transparent;\n",
" }\n",
"\n",
" .colab-quickchart-chart-with-code:hover {\n",
" cursor: pointer;\n",
" border: 1px solid #aaa;\n",
" }\n",
" </style>"
]
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"acceptors = []\n",
"donors = []\n",
"hydrophobics = []\n",
"\n",
"for molecule in molecules:\n",
" acceptors.append(feature_factory.GetFeaturesForMol(molecule, includeOnly=\"Acceptor\"))\n",
" donors.append(feature_factory.GetFeaturesForMol(molecule, includeOnly=\"Donor\"))\n",
" hydrophobics.append(feature_factory.GetFeaturesForMol(molecule, includeOnly=\"Hydrophobe\"))\n",
"\n",
"features = {\n",
" \"donors\": donors,\n",
" \"acceptors\": acceptors,\n",
" \"hydrophobics\": hydrophobics,\n",
"}"
],
"metadata": {
"id": "h7Ystep4dumC"
},
"execution_count": 67,
"outputs": []
},
{
"cell_type": "code",
"source": [
"feature_colors = {\n",
" \"donors\": (0, 0.9, 0), # Green\n",
" \"acceptors\": (0.9, 0, 0), # Red\n",
" \"hydrophobics\": (1, 0.9, 0), # Yellow\n",
"}"
],
"metadata": {
"id": "egFVNjKhdzFH"
},
"execution_count": 68,
"outputs": []
},
{
"cell_type": "code",
"source": [
"def visualize_features(\n",
" molecules,\n",
" features,\n",
" feature_type=\"features\",\n",
" color=\"yellow\",\n",
" sphere_radius=0.5,\n",
"):\n",
" \"\"\"Generate a view of the molecules highlighting the specified feature type.\n",
"\n",
" Parameters\n",
" -----------\n",
" molecules: list of rdkit.Chem.rdchem.Mol\n",
" molecules to be visualized\n",
" features: list of tuples of rdkit.Chem.rdMolChemicalFeatures.MolChemicalFeature\n",
" extracted features from molecules chosen to be highlighted\n",
" feature_type: string, optional\n",
" name of the feature to be highlighted\n",
" color: string, optional\n",
" color used to display the highlighted features\n",
" sphere_radius: float, optional\n",
" display size of the highlighted features\n",
"\n",
" Returns\n",
" ----------\n",
" nglview.widget.NGLWidget\n",
" \"\"\"\n",
" print(f\"Number of {feature_type} in all ligands: {sum([len(i) for i in features])}\")\n",
" view = show_ligands(molecules)\n",
" for i, feature_set in enumerate(features, 1):\n",
" for feature in feature_set:\n",
" loc = list(feature.GetPos())\n",
" label = f\"{feature_type}_{i}\"\n",
" view.shape.add_sphere(loc, color, sphere_radius, label)\n",
" return view"
],
"metadata": {
"id": "vxTzdRBpd0rC"
},
"execution_count": 69,
"outputs": []
},
{
"cell_type": "code",
"source": [
"feature_type = \"donors\"\n",
"view = visualize_features(\n",
" molecules,\n",
" features[feature_type],\n",
" feature_type,\n",
" feature_colors[feature_type],\n",
")\n",
"view"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 334,
"referenced_widgets": [
"023c4a4b74d34dc4b7f0cf75f481a06a",
"c256fcd2c9244ed58b6b6c1710c922df",
"6230d8628c684122b516f92f70f43497",
"9351074fbf454b42a2d2dc7da69cf915",
"accbfb64be0147ee97e0fe585165a1c5",
"c9eb53b01f0e431dbab248540b96c66e",
"32e66b85f7854041ac61eb22f7644829",
"2ea062895be94bb691e4857ec8676b55",
"695c30d721e34942b90289c421ee7673",
"d904a69f1f2442ef9dc0ffe98410b3a5",
"2a63cbb6a9ed40648536b9b4ce127c74",
"43ae868f0e5c499b901bbf0a5c77308c",
"ebed300a73454be1a6f33f10a94ced4b"
]
},
"id": "XFgzYlQLd3Kl",
"outputId": "f4fb86ff-56ef-4dd1-b9e9-54361b5355f0"
},
"execution_count": 70,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Number of donors in all ligands: 10\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"NGLWidget()"
],
"application/vnd.jupyter.widget-view+json": {
"version_major": 2,
"version_minor": 0,
"model_id": "6230d8628c684122b516f92f70f43497"
}
},
"metadata": {
"application/vnd.jupyter.widget-view+json": {
"colab": {
"custom_widget_manager": {
"url": "https://ssl.gstatic.com/colaboratory-static/widgets/colab-cdn-widget-manager/b3e629b1971e1542/manager.min.js"
}
}
}
}
}
]
},
{
"cell_type": "code",
"source": [
"view.render_image(trim=True, factor=2, transparent=True);"
],
"metadata": {
"id": "Ts_BzpBcd-PS"
},
"execution_count": 71,
"outputs": []
},
{
"cell_type": "code",
"source": [
"view._display_image()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 528
},
"id": "2efxdAAKeBNf",
"outputId": "7f3992e2-daae-4b3f-aa1f-21b9a5be1778"
},
"execution_count": 73,
"outputs": [
{
"output_type": "execute_result",
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"execution_count": 73
}
]
},
{
"cell_type": "code",
"source": [
"feature_type = \"acceptors\"\n",
"view = visualize_features(\n",
" molecules,\n",
" features[feature_type],\n",
" feature_type,\n",
" feature_colors[feature_type],\n",
")\n",
"view"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 334,
"referenced_widgets": [
"1802ec04d0764f4794e9177d524ef187",
"08c1c6a1711a42dd9db74748902a439c",
"8f1fbee51a0544f5855f20073df22caf",
"6a5330f214114487b499c71ac97229be",
"b354b4a16e56452eb25f03aa82460b26",
"a6dad1255d794539b3f98ca224b778c8",
"ab6a540bc7b848b2aad9f058ea8cdd8b",
"c501fd0214a9473093a4878e92168784",
"61e3b58af76446738ae6b90dc4031a43",
"3e217a87d2f04d49bca41cf62de3d9b1",
"1a2c803413a648989e242d271b0a25b8",
"6f079b2394c248f8924d34be56b310b8",
"af20897ca13843f484876279d7af9cb9"
]
},
"id": "_u21E6ITeLKu",
"outputId": "123bf4fd-1352-43de-e8c4-b8dbf87c14c6"
},
"execution_count": 74,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Number of acceptors in all ligands: 25\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"NGLWidget()"
],
"application/vnd.jupyter.widget-view+json": {
"version_major": 2,
"version_minor": 0,
"model_id": "8f1fbee51a0544f5855f20073df22caf"
}
},
"metadata": {
"application/vnd.jupyter.widget-view+json": {
"colab": {
"custom_widget_manager": {
"url": "https://ssl.gstatic.com/colaboratory-static/widgets/colab-cdn-widget-manager/b3e629b1971e1542/manager.min.js"
}
}
}
}
}
]
},
{
"cell_type": "code",
"source": [
"view.render_image(trim=True, factor=2, transparent=True);"
],
"metadata": {
"id": "DcFQgeukeOqy"
},
"execution_count": 76,
"outputs": []
},
{
"cell_type": "code",
"source": [
"view._display_image()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 355
},
"id": "-4fXyQ5HeRYJ",
"outputId": "559a280f-9a77-4414-9930-b581712df618"
},
"execution_count": 77,
"outputs": [
{
"output_type": "execute_result",
"data": {
"image/png": 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H69CHbNV7EAv0uiUYbuzRnb7BPqeIPwZWr17dK8vxTJfDpgVIEnLqFl2RpCvXnfSxY0+NnWy9EpbkXIhklsXEZ1p8QqrFxnkQXzRrbWmz9paT1tKw1zpayi02psvGZhy2lMhNp5qZ83oo/PwDwI1LZq1ZYyM5o9LjCZwMBgsLUArSz7j/1+4lkheauI4nAiIgAiEQoOUIYcpHDaSP8TmKE+OBLOSnoNDiokDSeqRAwuqqQRbrPLgwS0PY/Rk3+ZSZLwsrDa/GYDVhlZkFdvt8PLZjxVKkXTHjFA9afUcq4qyy9QqLT5ltMYkTLDZhJJJ3UlD+wVpKlIPUdcCSrLTWxv3W2XYSIjoWWa4tlpWxxcakbnUaC7CRAK+PljFjkiz/+NKrrzrn2YJ1HNdbYZbzlQsslBLJnn6a9D4REAER6CcCs2fP9iEO6Kf1xgQdZpIyWYZxSBbbUyApLEzOYSkGM1iRoDMP7svNPT2lL3o8/ikQyFHYQXK3SHbguQarHEL5h5yc1bDy8inWFGqKGc+D57Pq1brCuOTp+TGJdKPGWkLaAggl3MLJKXC3RsOSbOq2JPc7U0HiU2ehl2sXJoJssWmZ2xyXLN2vLAPhg9mttFSjcd15GzdaO35Wi1WC462FUP7rBRRKiWRPP1F6nwiIgAj0A4GrrroqFxbbPbQgmfFJ1yMtRVpsFCSKiZu9yp8xaQfxyJy1a9cGeno6X4ZAzoRAjsMOhmElYUVjdWHRmkQBh72LiR/7rr/esfjcLFq3I87OvVW2oxg/T51vsUmTDIIJEeT/XTj/WOhhh7W3ViCBp8wio5BwFD8OAhthM8dut5ljtp3qwMM+rhR/iiSvGY3Z7XZYk1Pxh0AdRJnWZLFZ4V+Ulhb09FrP930SyfMlpu1FQAREoA8JXH/99XkQxSwIzscggtkUQtdipBXJr+lWZQcaiiIF0p2SwY41cMUuX79+/X09PaUbzfxXeTy+qdhBJhY8pJZICxHLcX1i0Zo8hPXHOXOsbfHi91m0dPdu3VlpxSfnW+aIVEtMnWLVLdwbRLaDFmQ5EnlGouDQg3jkCetoq0DccgK+jbKZ4/bYJWP/J0v20ksvPTW02Z0lOf+dd+wGNEOoAwO4W2079vOXpaUXTLsu2IF6egP1PhEQAREYagSuuOKKAiS55LtZqDx/WHsBxBILEW/LwmtZEKA7sbJombEXKl2YbkMAxvxctyrLIbgfulYZbqQwMmZHdyStyEAg0Kvf45/3eIILcX5ZWJAyS4OlmoKYZywsWEeMIU41sO6O4rV1WAe++MX/JZLr1m+1GdMnOufp9HCtH2X+bddZR3u1tTbsseSMK62jFTHJhn0WFeO1qNgMmJmddsOlTzvxVVrLjHWiabtzXWzI7s6SXLR+vV2P667DuVAkd0MkPyORHGr/JHS+IiACIvAegWXLljGW6OMvfbpGmRFKIaDYMRuUD4ohxZHbuFajm4zjWooURYohBZMWJZuYM4EHfUwda4uJLRQxDFTusUjONyvweTz5c2Atjof4jMAahnPNYKNxCF4HBLkW1mstjnMM570Ta/2XvvQ+kWT7OIo1XcMUSMYs+SivTLPXNmDwMpJ14lPnwIo8hqYCZWg4cKkTt/RERMPdugdrp5N85DZpd7N1eY3c91xYkrfA7VoPoXYsSTD9YklJj6/5fD+nF+xA53ti2l4EREAEhhqByy67rACF8U6fU1qCFEEm3PBrCh5/6VPc5s6d61hPfLiiyDgct6E1RtGgkFIwaFVxHxQfxusottyOPy8rK7PHH3+8x7/Hr4ZIXgaRnAWRHHeaSA7nOePc21F7WQuxqoFIHqcVh/XfH73bpk+MdK6JQs+mAm62KyeSME7pNjNYvzPR9pYNR4OBeMeKjIhKRELPBIuITHB+dsuCl09Zkqc3QnAzdln7ecOmTXYp6kDrcWznHDyeovtKS++6UJ+NHsO9UCeo44iACIjAUCHAekK0cHOsKtdCZMYmv6Y4UiQZW6SYuHWObkNvCg5F0V20ErkoRrQkaaVRJPl+1yXJgnsMN+7xhIxsJIwu9XiyZrsiCdBpEO8UHJPuVid7FudQh+PSktyB9ZMrX7SU2EP2sWXHncbptCIp4nxQwHmunExCEV+/M96Kj0D0mw4GOluPZkXFjsiKRu/WyOg0u3TSQRuR1uwIrOte5h8GdD3zDwYem/uY5ffbbByD2a2HWAYSEVH4j8XFBRfqMyGRvFCkdRwREIGLmgAsyII5c+bkM0OTLlYKB4WQAslf/IwlUuDcxuNs6v1BQeRrFAcuWlMUD4on90Xh5fYUJSa1UEDofkUyT+lTTz01sSdwb/R4SpDNmjXXdbdiJ14IUUJ34k5Xd+JOLZ7pKP4jJn2sXvAowomtdtPcJx2LlufEMVoUe7pIeZ08R1qGuw6OsP2HOuYd2fGDU6Up6aN890zIrM2Fle2jKNJy5h8WdLe6LfV47fxDgH8E3B4IOHWSFTinOKy9kZGFP9q/XyLZkxuu94iACIjAQBFAbWMBhC/fHV1FceMvfooAf+FzUQQpIIwrcoYixZA/oyhwuS5XZrEynknrkfvhPpjYwwe34+sUST7z5yiVKPrFL35x3i7IZbAk58KSjIYITsK+R0KEaBMyqshZIiwBoUBVY5VgvT3mNtsz5wHHnXr7kiecc+eiZczz5flTKPnHAAW8rjk98PILPz1jByA0avfj3H0cuOwmLLlt9rgfcopD2ed4uFqjcF4pWI0REYFvHDjQ5x2FPuwzI0tyoP5F6bgiIAIXFYEpU6YUQPjeJ5IUN1qSdJNS0Ny6RsYSKSwUA7ooubqtw1LE9B6HyORPnz7dGUlFkXRbwTHe51qiFBG+xi44FF30b81BEk/gfKBeCe2LT5qWtWfKPSjLmGjRaCfHtnJ/ueYWm1i11jqxM9ZJ0tXK8pDXJt9tG7GtxxNpf37Fk6fqGynmFElXwGlN8pyQqHRWVzD6tfpw7n5yoIvW7SREy5ScmuHKXQZOaWycgGOXYv9oJpBTtH//eV3j+fA407YSyd4S1PtFQAREgCKSmemDsPnpejx9viNjiqcX/zMZBXFEhxmswVI8PQ6BK0Uz8iIXJATXB/HwM7bn1krS9coHRZLWGoV30aJFdvjkSPuNf7Ilef5U+u6rf31ebtdrzFbuGv/Z3LhRH7Po2OFOI4BIJNV0drZY5ok/2rX7f2yTarfZGBz3INavsz5vuyd91YZ7ayxn9mpHGCnctAZpBTLuSovZFcmf/exn59QYtN8rgEDmu7MkcXE2AR2ExsGVy9SmFuy/Cr1b/+MCW5DuvTjnBejTLwIiIAIiEBoBuFz9EydO9LkWoGsduSLpljXs37//ro0bN54SxTPtHZaWU0rCWCQtUootH7Q+aX0xjscYXnlVpr3w7nVWX7keDcT3FR3a8PmQ3a5T4kYUTFh2bf4l0zIcweN+j1Sm2x+334ByjXLL3Xu/fbR8ldNxZx/Wswses6ZhV9iUERtt6sgNzjnRyp02bZrzfv4B4MZLORD65z//eY805vqsrGyI7lxakK8eOPB4aPT7Z6seXUD/nIr2KgIiIAJDmwCtSZR/+Jm841qAbjIKxY0WFlytgXXr1oUUV6NLkv1SmeRCS5K9XBnLdBud04r7xZovo2g/aK3NJ6ypZps11+/OObz564FQSGLCSAGOke8mGtF9y/M8WpVur7wz0a7b94BdW+F3knZWo3n5tuyfoHwjzi4Zt89mjd/tWLMUSV6r26KOrmNeJzNfMeZqyGvMkL+AUD4I2kYEREAELhQBCiUSdvLhcnWyNymSFBMm2sDSKty+fXtBT87l8ssvL0FiUBZrMClK3DctuVe3/pkdrRmDmY0d1lRXbM2120uL194WktsVJSvVcO16uS8KJa1Bnitdpu9sQSLP5p026+jztgG9VtdP/RuLRLecYakddsXMzc6xuWgtU8D5XsYTKZK0KLFKIZIhnUdPeFyo90gkLxRpHUcERCDsCMBKY7yNccQAXKwhWXdngwQL0pkMgn06CT1ug4GK+nH22vaPIlM2aO1tDdZSf8AakXTT1dmI9NRgzuHt3zrjcRELvGfChAnL3cxSlqnQUmXyDUVu3Y5k63h3lWXUbC18Y/i11ZExiQUjMhK9U8fVO+5fJiTx2vg+VyQZl3Q7ByH5qOYnP/kJp24N6YdEckjfPp28CIhAOBGYNWvWCiQH5bkDkJu7ptuuY0vtRN0YWHIeCFy7NdcdgDXYjrmNaFvXXmVN1e8Gju3+0fvcu2iq7ofQ+miR0gJ0M1MZM2UMlM+b9iTUrFu9/H0ih/KWbLhkN9HFyqQixF+dJCW3zyyFk80TOLoLyUhWXFx81y9/+cuioXyPJJJD+e7p3EVABMKOwOLFi0uGj7ksKzI+24prPmKxccMgcqxqhKuz6SQsuWTEDWMhkI0YdHzU2hpLkIRz2DyIJSbHVtvYYcWWGn/SsQLpuqVFSkuQFiRdwqxxZJYqYoyFzz333P9yDTNOysxb1oNSZCmYfD8tSjZIoGXq7gMiWfpf//VfQ9rlKpEMu39iumAREIGhTCApY6kvMX2JPzH9cpRsTMFsxlGY0QhRhKs1Ojbd4hNi8eyxhroOa2k64WSpttTvcmY8Mst26qidNn3UDudrihvFjpYgRZIWpNvsYM+ePfOQYHTGIc50/UJc/bQa6XqlUNK65ffMkGWGK4WWDQWeeXlCTunmr/TK1TyQ90siOZD0dWwREAER6AGB5BHXr0gZeX1evDfbYuJGYQ8REEtM4EhKM28a3a5m9XXMeK3FoONyZL1usIS0Rd1HCtpti592RJIPJO44NY4s4HfbyrEd3LlqHFmewgQllH8wA9cRSFckaaX+Yd14e3v7KGuu2VK070+3hlyW0gMc/foWiWS/4tXORUAERKB/CAyb8Hl/4rDLfNFxY5wuORTJpOQ0yxgeYc3oJVdTTZGs6RbJzZaYxqmRfHjstiVPnTopWoCMLzKGSHer2xN206ZNE9euXVv6YWePTN4sDEouYVySbtvIhGzrip1nhxsvs1pMap627u9t9p5/sQ7spB4NAWo7OwuXmw0pq1Ii2T+fX+1VBERABPqVQIJ3fkFK5s35tCZjEyiSI2FVpllMLNvgocdrawtcsBRJzJ+sftfonqVA8pf+xxb9yqlr5IMdgmgJ0orkokhy7iVcrRM3b978oSLJ92M82Ep03MnduH+mdcRdawkpk23pkf9nl63/nnnxOjvO8kjNWCewMMA5574hJJQSyX79GGvnIiACItA/BBK9C+6EQBYlYDJHbOIki44baVGoY2Sxv8GT2tnVigzXautorYJQHrTY5BkoC8Eoq7jDdtmUtxyR5GKGKrNb2e7ObQTAbjmhDnNG5588dBpa0dA5yxoPptiyo6tsQdW7NgKXnXKaSLbja467KsM6CKH8+yEilBLJ/vn8aq8iIAIi0K8E4pIvvdM7+paiaAwxjooZZvGps2BRjsXXSdbZ3oTM1gok9CRBII+iwcBWi0+Zdep8ci/71amvmZVKsXQbATA2yRKOUEWSO5oz7+YSa7ss6+Zd37NL8D17vQ7HPpOx4inG+L6dTQoQB6U1uQnrvq6uIaE/Q+Ik+/WTpp2LgAiIwBAlkDHxS8FodMOJh5UYnzrHYhJHI1MVItmJeZRNx6y99YRjPTZWvY3X57/n98TjpuznT10x44nudBHWSHJGZGlpqf3nf/5nyPrgHX1rwaL63fnXNhbbFOx5NFYGrNM0dBtKhgjT/9uEdnf16MhTAaE8gNdXd3XNe9jsjNmzg+l2hAxhMJ20zkUEREAERMAsNfMWf1TscF/qqD+DCM6GJTnaoqIT4TrFfEpYkI0n/0TPKwSzBC3lMF4Zj1ljt5k3kRMizWkEwFpJPtgwnS3paEViPqWhBOQu1EkWhcr5UxERwcu4HyyO1RqOjNnhKA1JgvDCj2sN6OJTi7TbkxBJzqZc39WV931MQAl1/wO1nURyoEJZipkAACAASURBVMjruCIgAiLQSwJxSbN9CWlz/N6xn7QEuFtZMxkVnQCRbIUwHrWGyjWskQx0tFSu5qG8cXuXJcXVsMbRmUXJpB2Wa3AeJOsl6XplliubASAuWfTII4+EXLrxSYgki0w4vJlFKcMgkhnYXwqaCwQhjvWonaxD3LMSIlmM1zeYFf6oq6uglwj6/e0SyX5HrAOIgAiIQP8RmHTJHSWTpy/JunJuvdMBhw0CyiqG2YGyaHtnU5Ud3PCF9/2eZ30jmpn7KYyc4chnloDQouSiJclGABwM/dBDD4WsETdBJK84XSQRi0yBUMZz5iSEsRWu1gY805Lk2K1yiOQ/SST774OhPYuACIiACJhdddVV1cgu9VLsTm8xxyblm7eVlf72ucfO2BZu3rx5ftQ4+uhi5WgvCqTb4LyiosK4SkpKCp988slzWnvzIyIK4MzNZ2rQVCzGJOncTYJQIiL5XuIOxLEBz8xw5XzK7RDJf5FI6iMsAiIgAiLQnwSWLVsWhEie6sPKFnOcCUmR3L5jb+lz//3MGUWSpRsQyRWuu5UiyZZy7L1KlyutSYhkSL1Xr4ZIQiDzK2Iy7NC4T1vNqI/ZzJYjNqNum02vfNtmVf7JIgHBaSqAtRfra8pu7c+PhfYtAiIgAiJAAtdcc03wkksucUSScUZXJClyazeUb/7Di4/OOxupq6++OujOp2RMkm3l+Mz+rXS7sqnAvn375q1atepDs1CXQCQXQyQ3DL/GDo//C2TbzrQo1G1GRiWi/V2nTTv+qv3N+jsdgTyGtRkW5o87O0N25Q7knR4SJzmQgHRsERABERjMBDD2KsjSDc6YZOcc9mFlGQetSXTQKXzssccKznb+8+fPX4HxW3lsbs45lRRJulxZEkJ3KxN4MMmj6PHHH//QBJ4ZZr7FERH+V6Z+y+bOGmHJqaNtb8UyNCmIQQlKq7VjGsnSPT+yy8qfMzYVqBwi8Uhyk0gO5k+/zk0EREAEPoTAwoULfSjj8LtuUmansntOe3u7017uyJEjgZdeeinnbLtAc3MfRNLPhB9aoYxrclF0u2OSjjVZX18fwHPhmjVrAmfb16XDxganX3O5Y4mi8bmTNXuidpS9smmpM67rE7u+a5fD9XoAAryxszPnSXXc0WdbBERABESgvwhwriNEzj9hwgRDtqpjRTKzlSLpds+hyxRil/Ob3/zmrOK2dOnSauzLSzctBY4xSYosrdEoNAPgvtiFh7WTGH2V89prr51xX+jhWg3B9dIa5T54LkwKYj/Yp16dad9f9zk7Chg7IyIKf97RcVbrtr949XS/siR7Sk7vEwEREIEBJLBgwQI/hhz7aPnREqRI0nr7YB/WQ4cO2VNPPXXW3/WwRgumT5+eTzFjcwEuloZwXxRJCh0Fs7a2llZlANmu/8syhbhmz507dxNdtnw/50vS7UuxZXyzfPUmG7fBb8XBYOGvhkBG6+m3VSI5gB9yHVoEREAEekqASTfsksNYJEWS1pszrgrixKHH7kQPDj7evXv3vEAgcMbkG467mjRpUgldtqyXpFXKfVF0aV1S6Nj4HC5XZ4gyE4JgXdZAjB9CFmwJ9vs4Mmz9EFYfxZXxTAos98Vnum2LA4FV5bt3P7S5o+OsFm1POfT3+ySS/U1Y+xcBERCBfiBw7bXXBmm5USQpjhRKChNF0p0NSWGjm/TAgQN5L7/88llbwGVnZwc5DcS1JCmYbiIQS0kY3+S+KHgUYB6LyT5cFFAKKWOaXK4ly/dQbPmeJ554YshqzZA98X74zGmXIiACIjAkCMD6882YMcN/ukhSkFyRohXJOCKFqjuWWAp3aQ6svtIzXSBFkvFIiiMFl+5S7psJOBRJCqQrksyapYuXsUq6Yjlii4tCSZH+YEwU1ucq9ID9+JAAe4aTlEgO1Tun8xYBEQhbAkjYKYBQ5bNcw7Uk6R51x15RtNw4Ynl5uTG5B/HEGliYOS+++OL73K5wtRbAisznNrQQKZBMuuGD39N96rpbaaHSeqTV6T6C6KRDseRizaVrSfL4TjyyvDxQVFR01gzbwX4TJZKD/Q7p/ERABETgAwSmTZtWgKSdfLcNHZ/d7NbTZ0PSCqQ1yEU3KazKmpfXTso5suMfN8O0uxPjmc0/9SsFcalLsmIwl3L2pGM2d+Ke91mD3DetR1ql7OeKJB/ndXfx1HhMPiC4TrIPrU4ej++hSKNR+pDVmiF74vpXIwIiIALhSoBNyiFWfk7xYByRrk9XJMnETbahlefWLPJnFK6nX59nn3/nDvNiu2hui7Uvda6tn/x1qx7us5GpJ+3qmS85wsiMVibj0JJkwg4tVJZ4UAjd5YolY6Fsj0crlHFICiVFknWW5zObcrDdU4nkYLsjOh8REAERCIEA44hwuzruVsYi4+PjnWxUWnUURMYkKWywOp1kHgrmxgOX2KZ94+0Hr822pG6R7MJzExbbxT192dN2LG2RpSeU2Nwxv3WyWemGZYyT7lSKHkWZ4kkx5OIxKZh0zTJW6Xb84fG5HS1JdP0ZslozZE88hM+QNhEBERCBi5YAEnd8sOqcbjtusg3FyrUkaTXye8YtGas82TDOXt18s0068bp9a+0nLLFbJDmUuRWLY5gPYq1Y8JgdTZxkC8c84ogvE4K4L7paGYt0LUjGHCnGjFFSGDlJxK3TpGXrxiQxl7L017/+9RmbrA+FmyORHAp3SecoAiIgAmcgAPemD0Lmd8s1aNXRYqRA8YEOOI5F2dQ52d7c+wnzRMTa//nTzbYQUzk4xioGy9keqw6L1uTr3nn27JT/Y4uyfutYiRRAuk+5Ha1FCq5rQbpWJF+jeH6w4w9Fk+eya9euiShBKR2KN1EiORTvms5ZBERABLoJsByEC27WOylgEK4slnPQgnSL+59efYtFxQ6zGbVb7Ttv51oahM8LV2k8VgcswQasOlh/J7DPPVgPXfFNG5u2y7Eg4WYtRJ3lKsQ2l0EEfRC+XO6XWbAUQR6TLlgmCbnZtbRsMYbLcfeyNR5GbiHBtehDm6QP1hsqkRysd0bnJQIiIAI9IICEngeRZXovaxaZtENB21N+qdWsr7Bvbf6KjYD1OAxWXwaELBqWYReErBZJNrVIyqmARbgfx/zvSy6vOZTQnrNu3bozdulh4hCsVz9LPhiHZDIPBZJWJ61Lfs9jswSE4olG67Z58+aJZ6vT7MFlXrC3SCQvGGodSAREQAQuDAGWiLD2kfHKYPQ0W3fwE/Y3r0y3cRDI4VjpELNhqKuMhzXYxlINZK/WUSRxehTJV2LS7n2yteqhDztbNBtgc3UfhZJxS3cCCeOYdP9SpJnsQ0uSa9fuo0XPPvNIn1iTnH6Ca6NVy2SiAFy5gf4iK5HsL7LarwiIgAgMIIHxWZcWtMbenJ+QMscy26vsc5u/7ojkCJyTF3WOyRDKGDxTyJrhaq3DM92tu7HuDgZD0gYmDyGr1s/RWnS5MsOWgknhdIc505LcczDOnn9jjO1945qQ9vth2NjYHUOmmbTkCDNLVdDEPYDkoH5pWNDrEx7Az4AOLQIiIAIi8CEExnqz72kf8ZHl8+t325VHn7csbEt3K2skE/DMOkmWgLTBzVqLZ46y2oyvf3ies4Zh2fmRJORzM2EZE6U1GYybY+v3zbY9pV5rbjxozTWbCovXfrKgJzdt8eLFzOT1URjdaSO0JJlhy+HQEMocTCjpc4tSItmTu6X3iIAIiMAQIDADXXVmxg4vmtRaYcNwvrFYmVhpEMgEPLNghCUgzVg1WMVYpRhn9VOz8xIyDm9mL1lOJWGyTlXb5dYaeRnWPEtKjkBsMmjNDVXWWL3J9r15/Xnrjs/n80N4OWDasXxpRdJSZYIQazfpzkWJSuHDDz98Xucdyi0875MNZafaRgREQAREYOAJTDXLvtpsUzZOJbJbENmVlWIZ0S2SnXhuxGLnnQaI50GI5MPnKZK8UgxdLoE1mWVRoyywZbbFp86xhBRMFslItDbsvK62zVoaSq25en1h8bufDVnMMKfy1NxMJgOxBpMWK8tRGP9kZx+KJJKDJJID/5HTGYiACIjA0CLwUY8nuBguVFbzj4QIUizpYj2On/Hrtm7BbMJrtCa/GWI88oMU0Es2D7HCFanDF9sbW8ZaTMJ4i0+eailpme9Zk9VBa6gtgzW5wTpaT8AibM45vPm+wLloXnXVVc7cTLbEY9mJW97CWCR/xjpQuluRSRv4+c9/3udxSVmS57pDel0EREAEhjCBpbAKYUnmT8M1jIIQpuHZ7bbDy6JIMh55BKK53uMJ/DQY7LHQDM/6q5LkzBuzomKGWTuEkElDCSlZFp+IlnbVldaOekw+ujqarL2lHGJZnlO6/otnFUr0pr0TbtwiulhpPc6cOdMRRVqUrANlEwPWcrLUhJ1/YGUG7r///h6f/5lus0RyCH/4deoiIAIiEAqBWzDsY7qZbzw2ZmyS3XbcpB1226nEzw5BIH/YC4HkeUAg81JHXL8iMX2xNZxcYwno3hMZk2aRUcloZpBmEZHx2MpjXZ0tEMhKa6nfZbUVf8w5uf8/ziiUSNC5B/HH5W4Mkh193HpMiibLTNhXlhm0fDBGiUkngQceeOC8hPK6667z4b1O3SdrPSHEgUcffdTZh0QylE+YthEBERCBIU7gWgjlJAjlKIoZFkWS8chaCOZxs8AjvRRIF0/GxM8HUzNvscaqtRbvXWRxSZMsOn6UxcalWwwyUzvh66VF2d5aba2NpdZSuxlpPZ0PNdeXrqrY98D7mheg7V4BMlrzWWJCUWQ2K9vf0YKkq5WixobuFEnGJ9nIgFbnnpKYwOM/+2ZIQrl06VIfLFbWfDpxTu6DrfQotg899FCORHKIf/B1+iIgAiIQKoGFEMnRWLDnJjAeiezWg6iNDLyMFeo+zrWdN/PWgqi4kfkxiXCzpmZbLJ5jE0ZZUkq6pQ/zwEqDMNcGra251lqbDllb4wFYmRnW2V5jI+LX14xN3/0QesUug0vVxxikO6uSX3McGL93Y5EUTXYU4veciMI4Jd2vB48l2htbJwZ2BT76oUKJSSo+xDjzYZFSKB3LlJYqrVMOmN60adM8ieS57rheFwEREAERCJlAUsYSX0z8BH9c8iyI5FyLTcqyGFiSicnDYKlFWDN6r9fXdVpbC+KIEMn2lmMWlzLDgl2tFuxsthvm/MKZX8n6R9Za0v1JEXRjj/wZLT2WmrgJPXx2LUwK5cFjqfbK+lkU4MDuN+84o1Bee/Nf35ORXLOcbfXcjkHcNy1J14WL2st7JZIh33ptKAIiIAIicC4C3tG3FiSmX5nf0VaFmOR8o0UZE58JV2u6RUbHw1Vq1tEOEYS7ta0Jw7mCHRafcgl+Dj9ssNNuW7zCKfNgIg7dnxRJpytQ9+BnCiRFjA/0qXVKQBizpKVJK5CP36//iB2uSHayaFvqdsJqPYjYIuQuMq4w2NkwIT4xK48u4EvGl2HtdyxQxjuZEHT6PE7O05RInuuO63UREAEREIGQCXjH3l6QmHZZfkzcaIhhFdytky06DsOYY7xI3ImDEDJxpxnTRyqttX4PSkXGQUgnQZwibaT3hF0z+2Un5khhpGjRQqRVSXHkEGdMFHFEki3wKI7cli5XWoMUyj3Hr7CthxZAaBHpbG9yjtPWdBhjwmJgrSIDtu0kzqHFsVwjohJs/uTtNsJb74gxLVLuwxVi1l9KJEO+9dpQBERABETgXARSMm8sSEpfkk9Xa0RUorU2FCNxZzSsyG6RRI8ftwSktWGvpWTe7GS9ctblnAm7sHY41hwXk2lo4VEc6W5ld52jR48yqcYRNVqOKBFxRJLJO9VNo+3t4jssOia52wINWmvzSSeblvunpdrZ0dBtwbZZVEwqjhNltyx4wTkeLVcKJffF4/FZInmuO67XRUAEREAEQiYQ553tS06/yp+QthBW5ERYkSPh7jwCoWqCZVcLy6/Tse5o1UVFpbxXIhKdahneVrt61rtOTJDWI7NVWQvJ5BxadHSruiK5e/fuQrhj78GkEy/jiCz9cISycaT9bu18HDMDQol9R8eiHd5RfE2BjnGs0872Rrh6jzsJQ3QD8zFt1G6bOmqXY5WiIYJjqXJRnCWSId96bSgCIiACIhAKgeTMG/xJaYt9ccnTLCpuFEQPFlsk44UQqQ6IVHM5rLkSSxl5g+OCbW3Yb5eMfsvSE484osjFMV8UPlqMjE8yJkmRZMLOT37yE0e70PR85bhx43KZfEPX7PpDH7ea1hnY9zH03WMDvi6ILgQUghuHlN7GBrOW5jYkDVWgRnOnRcei1TtioZNH7rRJI3ZZBKaiMM7JmKjrcpVIhnLHtY0IiIAIiMB5EfCOyUWG60xkuo5/Lx4Jd2cQSTpM6GlHVmts8gzHgoyMTkJMsNmWzX7bsSDZYo7PFD2KJUWSokV3KEWMFt7hw4dPtaCbP39+XrJ38oqWqGusybKd+CeThFoaiyHMSRaXMNLS0pPRGs9gkZo1NbY7ItmKySjo2AcdbbVp447Z9DEoRcFx0X/2lCVJUZZIntdt18YiIAIiIAKhEkjKWFoQHT9hWVR0ko+JM55gR6Czs72wo/XY3KjYEb6o2PTcNG+STR1bY6Mymp0YIxfdnLQi3UHOdKcyPknRotsVdZQUyrt+8YtfFPFcvGN82YnJM1YmpM7PikmaYjGwXlsbS5z+sTHxI2BNxiEmCTdvhweu1nonaaelbjsEdbhjyU7N3AFLcqcjxpMmTXJKTmhJst2dRDLUu63tREAEREAE+pwA+rHeA0HMRQySreGMRf20Ihkf7O7H6mSxujWMFFAulmdAKOdh2PKpLj0jJ31yZaJ3QW5s8nQkBzXCgk13EnaYNBQFqxWmJX7eAHdvmbPiU6Y7gjkhY6eNTdvtWJJsoE6xpHuXYiyR7PNbrh2KgAiIgAicLwG4TYNIxDHOjHRb0NHVSvcrRTI9Pd0RSlp5FElaeZghWfrII49wwMmpR+akTwaTMpZZHISyuW4XuvmMdCxKNl1/rwykxclubUftZCTipF2d9TZ79OuOW5cCTZeuewy4dtWW7nxvpLYXAREQARHoewJoZu6DGPqZsEOL0m05R0GkaLJ/KwWUViYngfDnLNGAUBY99thjd7lnNHzcTX64eX2xyTOt/vgfLCF9iVOrydZ3LDVhXLS95bg1Va0p7Wqvenx00hu0IPMpwm4zAliwAbh1C1977bWALMm+v9faowiIgAiIQA8IoOTDh0xVH2oj8ymGtOwoXCwBoXi61iR7uFIkGZ9kj1XUTeYUFRUFeEhv5kJfYsql/uiEidZUs8WSh1+LJKFpTilKJBJ5gvivs70aMcmtRXvfyjslrmc7XYlkD26k3iICIiACItC/BJBl+iAaBdyLEg+noQCtRk79cIWS7lE3PnnkyBFbt25d3tq1ax/nWWWMvRGJQpH+SJSexKHJelzKLCTwjEFsMgWvMi5ZzzFdNXvW3MHxmh/6kEiei5BeFwEREAERGBACl19+uR/TPXyczsEuO3S7Mi7pCiUTeyiQe/fudWKJ/B4ZsIHf/va3Od6MbN+4iGh/LWox41LnWVxrhY1p2GOJSN6J6Gq3JliTvzvwxDk18JwbDAgZHVQEREAERCDsCcD1mgVrsmTq1KmOFclsU5aGMDbJVVxc7Agj+7ie3gj96O7dlvX66zYSBKsTJthbnmib37DPxiBjFjmuxjYDHVg1qL08alb4g7a2grPBlkiG/cdQAERABERg8BKA2zUPtYsr3D6u7LjDlnWsmXQzYSmSLN9g2zlO9KAblgIaj/6rXRUoGTnmNS/a4H268k1n4PR7s0LMmrEqsHZERAQKW1vPOFJLIjl4Pxs6MxEQAREQARCYO3fuSliUuaxhZLIOE3nogqXblS5YJvIwbulOC+E2bITODFkK5/6jk7Em2kw0EPjh7oJTItmGfdfCujwIi3JvV1fOP3V0BD4IXCKpj6AIiIAIiMCgJsCsV5SI+Dmhg+JHcXSTeFguwvIQumFZO0mBdLvysFTEHae16t3bnT6tr6y50uIRv2SzghY0DajH8zGsrbAmv3EGa1IiOag/Gjo5ERABERCB2bNnF6AcJJ/jq9gNhxmvtB5pKbLwn19TKCmYtBzd0hBalhRJPv577Wec5y+VP2pfrXzSOiGg9Wyajv2dgEhugzX5+ba2/6WJEkl9/kRABERABAY1gUsvvbQAI6zyDxw44FiQdK2yPpKjtFhPyUHJbiN0fk/hpMVJgWRjdD5WrvsMWsx57JF999qSyGLrgtVZx/Fb2JYiuRPb3SmRHNSfA52cCIiACIjAGQjQ3Tpnzhw/W9SxdR2Td2hRMi7JQclu4g4tR7pc+TOKKK1LloYcOD7L9h2bjbZ0ERZYe40lYmZlB7ZtwqqD5UmR3AKR/JpEUp8/ERABERCBoUgAiTt+WJA+xiXZ3HwaBPO6w4dtNIQvFQJXhY48G+bNs13o0EOxZAYsxZMi+dKW22BDRtrth4rsc4dWWCytSwhjKxZjkuUAst/jKbzvDKUgcrcOxU+LzlkEREAEwpAASkEKIH75XtRLLoNIzoAAjsJKhuhFgkcDBO/ZK66wSjQcYCYsBZLu1t9t/CQmgHiscMvdNq9uo0Vj2woIaSuea7Bq8doe1EvmSyTD8FOlSxYBERCBi4gAGgsExx86ZPPhbu2Eq5SN5kZQKLEmwI36EuZOFs+Zc2pg8/ayxVbdPNJmNey1H+76J0voFtROCGoTFuYw236svDO4WolNluRF9OHRpYiACIjAxU7gRo/HP8vMNw4XOgwrDisCqwXrBNbhjIzAhqQk3wj0dt3TmWnNnok2EqUf/3D4V063nfhukWTHnUaI5Al8v8PjCXxXzQQu9o+Ork8EREAELm4CN0Ag50EgJ+Ey2XLOET0sulrbseopklhHgsGc1xG/jAoGl03weHxTIIbc3tstqu72dLOWB4OBb7W3n7HbjizJi/vzpKsTAREQgYuGwHyzgss8nnxYkUYrcjhFEiLniiQtQ7pPT+J5O9Y3gkHHU3pFTEwBts/Pwmvp3aLKOGUjvq6ABfnjs1iQLji5Wy+aj5AuRAREQAQuXgI3mPkhkr5puMTRFEkIXSrikEno2UrLsA31jk2IUVZBDEvx/bvBYOGPIKwuEQypLBiL1xO4Ld53rKsr8PIZ2tB9kKBE8uL9TOnKREAEROCiIHAdxC4RVuQSXM3kbpHMgNBloKlAGrrseCCMzWh4XoeJINUQwjJssxMied9pItlTEBLJnpLT+0RABERABC4IgU94PMEsHIkN5iiSo2hJIjFnOGoi0zAyizWPzWh6XosJIBRJxiX3QCS/LpG8IPdHBxEBERABERggAjMgdEthRc7F8Tu7hZIimQF3qxeu1hRYk5FsVg4rshFlIdX4+hBe3waR/EeJ5ADdNR1WBERABETgghC4FEJ3BUQSzzYBixmsSVgs/2BMkiUdLAFhzaRb99gIKzMyJqZ0JcZf/bSlpbQ3Jyp3a2/o6b0iIAIiIAL9SuASiOTlp4lkJo4WDXE83t1IgHWSTNxhdmsD1ijEKKfguRxW5Q4k59zU2HjW8o5QTlwiGQolbSMCIiACIjBgBD6OmORCHH0iFkUyHdZjElYlmwFg0ZLkAOWl6N+agZZ0dvy4tWEUVhmEcmNnZ+DPm5t7LJQSyQG77TqwCIiACIhAKASuRPnHQpR/TKWlSJHEoss1tvvNFMhkNDOfgPmSsZwfifZ0FMpmJPL810c/au90dCx/+umnkex6/g+J5Pkz0ztEQAREQAQuMIGPwJrMxjHHYzEemYwVgxXESoUotmBNhhs2E0IZhZmTJ7Oy7O3Zs213erozNgtjtnKKiooC53vaEsnzJabtRUAEREAELjgBZLn64G7NnwSLki5XNjanSKYiSef6xEQLItN1f0uLTcT3HTNn2rb8fGtubnYEkjMmOV7r+PHjOc8888x5CaVE8oLfah1QBERABESgpwTQUMAHa9JHl2trRMSd18fGZs2CMI7H6kI5yO8hkIdvvNGGIzY5btw4RyA5rLm2ttaOHDlSU1xc/FAdGg+89dZbBaGcg0QyFEraRgREQAREYNARgPs1e1lMjH9ZVJSXsyXHwZp8KjfXSuBuTYebdSSeR40aZRWYP3kI47X2799vUdimEwk9FM2Ojo6cVatWfahlKZEcdLddJyQCIiACIhAqgRujonzzIyP9V8KSLP7zP7f2Sy+18vJyi4FVSaGkSAaRAbtu3TpLSEhwRJLft7I7T3U1Lc2c3/zmN2cVSolkqHdC24mACIiACAxKAp+CUEYsXuz3zp3ruFnT0tKcGGQ0knloNTI2mZycbPHIgOXP+GhDh56GhgY7fPiwPfHEE2fVQonkoLzlOikREAEREIHzITBz5swHZ8yYcS/jkMPQz5VrzZo15vV6HdFMRZOBRCT4xCH7lcLZgiSfxsZGxxULN2zh7373u4IzHU8ieT53QduKgAiIgAgMWgLZ2dn+adOm+caMGeOcY1lZmWVmZjoiSbGkcNIFy8QdLlqSlWiMjoSewieffFIiOWjvrE5MBERABESgTwhcfvnlfoikLwKJPHStUhwpjLQk+UzBrK+vd5YrkohhSiT7hL52IgIiIAIiMKgJwHLMmjx5csnEiRNtBLrvIIPVSdhJSUlx3K1M6OlC31cm7pzubn3xxRdlSQ7qO6uTEwEREAER6DWBD4okLclYzJ2kWDKrldYln09P3PnlL3+pxJ1ek9cOREAEREAEhgSBBQsWBGFNOnWSFElmttKKpFCy7INJO1xVVVVcOUjaCZztwpS4MyRuuU5SBERABEQgVALTp0/3QyR9rJF0RZLWZCS78nS7WpnUg4YCgV//+tcfOiFEIhkqdW0nAiIgAiIwJAjA5eobPXq0f8KECU5GKy1JiiSTeSiSrJtEH1eWfuSsX7/+rFYkL1YiOSRuuU5SBERAm3cTtwAAIABJREFUBETgfAiMHTvWl5GRwUxXJ7OV9ZEezKBsb2+3pqamAJoNFKKO8kMFUiJ5PsS1rQiIgAiIwJAjMGXKlAJYlY5I8sFm5xs3biwI9UJkSYZKStuJgAiIgAiEHQGJZNjdcl2wCIiACIhAqAQkkqGS0nYiIAIiIAJhR0AiGXa3XBcsAiIgAiIQKgGJZKiktJ0IiIAIiEDYEZBIht0t1wWLgAiIgAiESkAiGSopbScCIiACIhB2BCSSYXfLdcEiIAIiIAKhEpBIhkpK24mACIiACIQdAYlk2N1yXbAIiIAIiECoBCSSoZLSdiIgAiIgAmFHQCIZdrdcFywCIiACIhAqAYlkqKS0nQiIgAiIQNgRkEiG3S3XBYuACIiACIRKQCIZKiltJwIiIAIiEHYEJJJhd8t1wSIgAiIgAqESkEiGSkrbiYAIiIAIhB0BiWTY3XJdsAiIgAiIQKgEJJKhktJ2IiACIiACYUdAIhl2t1wXLAIiIAIiECoBiWSopLSdCIiACIhA2BGQSIbdLdcFi4AIiIAIhEpAIhkqKW0nAiIgAiIQdgQkkmF3y3XBIiACIiACoRKQSIZKStuJgAiIgAiEHQGJZNjdcl2wCIiACIhAqAQkkqGS0nYiIAIiIAJhR0AiGXa3XBcsAiIgAiIQKgGJZKiktJ0IiIAIiEDYEZBIht0t1wWLgAiIgAiESkAiGSopbScCIiACIhB2BCSSYXfLdcEiIAIiIAKhEpBIhkpK24mACIiACIQdAYlk2N1yXbAIiIAIiECoBCSSoZLSdiIgAiIgAmFHQCIZdrdcFywCIiACIhAqAYlkqKS0nQiIgAiIQNgRkEiG3S3XBYuACIiACIRKQCIZKiltJwIiIAIiEHYEJJJhd8t1wSIgAiIgAqESkEiGSkrbiYAIiIAIhB0BiWTY3XJdsAiIgAiIQKgEJJKhktJ2IiACIiACYUdAIhl2t1wXLAIiIAIiECoBiWSopLSdCIiACIhA2BGQSIbdLdcFi4AIiIAIhEpAIhkqKW0nAiIgAiIQdgQkkmF3y3XBIiACIiACoRKQSIZKStuJgAiIgAiEHQGJZNjdcl2wCIiACIhAqAQkkqGS0nYiIAIiIAJhR0AiGXa3XBcsAiIgAiIQKgGJZKiktJ0IiIAIiEDYEZBIht0t1wWLgAiIgAiESkAiGSopbScCIiACIhB2BCSSYXfLdcEiIAIiIAKhEpBIhkpK24mACIiACIQdAYlk2N1yXbAIiIAIiECoBCSSoZLSdiIgAiIgAmFHQCIZdrdcFywCIiACIhAqAYlkqKS0nQiIgAiIQNgRkEiG3S3XBYuACIiACIRKQCIZKiltJwIiIAIiEHYEJJJhd8t1wSIgAiIgAqESkEiGSkrbiYAIiIAIhB0BiWTY3XJdsAiIgAiIQKgEJJKhktJ2IiACIiACYUdAIhl2t1wXLAIiIAIiECoBiWSopLSdCIiACIhA2BGQSIbdLdcFi4AIiIAIhEpAIhkqKW0nAiIgAiIQdgQkkmF3y3XBIiACIiACoRKQSIZKStuJgAiIgAiEHQGJZNjdcl2wCIiACIhAqAQkkqGS0nYiIAIiIAJhR0AiGXa3XBcsAiIgAiIQKgGJZKiktJ0IiIAIiEDYEZBIht0t1wWLgAiIgAiESkAiGSopbScCIiACIhB2BCSSYXfLdcEiIAIiIAKhEpBIhkpK24mACIiACIQdAYlk2N1yXbAIiIAIiECoBCSSoZLSdiIgAiIgAmFHQCIZdrdcFywCIiACIhAqAYlkqKS0nQiIgAiIQNgRkEiG3S3XBYuACIiACIRKQCIZKiltJwIiIAIiEHYEJJJhd8t1wSIgAiIgAqESkEiGSkrbiYAIiIAIhB0BiWTY3XJdsAiIgAiIQKgEJJKhktJ2IiACIiACYUdAIhl2t1wXLAIiIAIiECoBiWSopLSdCIiACIhA2BGQSIbdLdcFi4AIiIAIhEpAIhkqKW0nAiIgAiIQdgQkkmF3y3XBIiACIiACoRKQSIZKStuJgAiIgAiEHQGJZNjdcl2wCIiACIhAqAQkkqGS0nYiIAIiIAJhR0AiGXa3XBcsAiIgAiIQKgGJZKiktJ0IiIAIiEDYEZBIht0t1wWLgAiIgAiESkAiGSopbScCIiACIhB2BCSSYXfLdcEiIAIiIAKhEpBIhkpK24mACIiACIQdgQETyezsbN/YsWN9bW1td7a0tFhtbe3m48ePP3Ts2LFA2N0FXbAIiIAIiMCgJDAgInndddf5Ro4c6U9PT7eIiAhrbW21qqoqKykpsbKyshwJ5aD8rOikREAERCDsCAyISN51113+UaNG+ZKSkszj8Vhzc7PV1NTYkSNHbPfu3YEdO3bkhN2d0AWLgAiIgAgMOgI9EsmlZr4pWE0eT34MLqkZqyEYDFSYrd5oVvBhV3n33XffEx0dvRwiaSkpKYav6Wq1yspKO3r0qEEg7Z133unReQ06ujohERABERCBIU3gvMXoCxDBkRDH9GDQKJDBbpGsxfMxrANYx81ydpsFXDJf/vKX80aPHr0sPj4+DzFIq6urs8zMTEtLSzNak4hF2okTJ6y8vNwRybfeeuu8z2tI3wWdvAiIgAiIwKAkcF5i9BWPx38JLMjhEMgEuEkjcEmdWC34vg7PJ7EOY+3EOjjjHwrjJ/zFhL+85vm8uLg4WoulSNB5fOPGjUVTp04tQdKOJScnOzHJhoYGJyZ5+PBhO3jwoK1evfq8zmtQktVJiYAIiIAIDHkCIYvRtyGOEyCS43DJqVixWHwzRZLu1nqsKojlUTxvT19su3wB62g5XpO78LGH9u7dW4RkHFuyZElebGzsnY2NjVmRkZGOSLoxSYrkmDFjHIty69atAb/fr7jkkP946QJEQAREYGgTCFkk/xUCOR1CORLXm4QVA0uSAtdBkaQliVWFr4/j+SCet1Is48bcFbPkmazbr3jpzuHDh2d1dXUZBHIVBPO3EMMsxCTzGZNk4s6MGTNs4sSJRjHdt2+fbdq0adXbb7/98aGNV2cvAiIgAiIwlAmELJIrPJ7gVFxpBkUSLtJYWIJRUVHWDlGsb2+3WgggLUmKZBm2eXPyV618zg/xVYR9YsHyACzFVQ8++OBDZ4P17W9/uyQLj9TUVJaBOEK5YcOGQrhnC4YyYJ27CIiACIjA0CUQkkh+2SzrWo+nZBKucxhFEuKYHB9vMV6vdSAR5ySyU6vwXAmhRNKOlUEod+H57Vk/CByu3HpXzbFnSs+FKDc3N2v27NmbJkyY4E1MTHRik3v27KHr9S7GMc/1fr0uAiIgAiIgAn1NIGSR/AhEciJFEi7WZMYTIWSRw4ZZEN1yTiKeWHmaSB6CSDJ5Z5NZ4fpzlIScfkF5eXnZMCY3jRs3zhC7dJoL7Ny5k885a9euDfT1xWt/IiACIiACIvBhBEISSe7glx9wt8YjlhgTE2MtsB5r0TGnprPTKuluxbYH8cyYJASyEKUgBedzC1BH6UN5iJ/Zr4x5FhcX27Zt22hVzkN5yObz2Ze2FQEREAEREIHeEAhZJB8288/0eHwjcLQkiFdsd+JOG75vglAycYclIMfwXIzntVh/eC8B9rwf3/zmN30ZGRl+Zru2I9554MABul1r1q1bNw+JPaXnvcOzvCHOm+1rqdkc6Kv9aT8iIAIiIAIXF4GQRQzmoG8qMlwn4PpTsFgCwgezW5uwWCeJjjt2uDseuQcNBdac1lDgfLF94QtfKEDGaz478yAj1hHKLVu2lL788sv0+vb4kZH1BV9s0uT8iKhknwU7rb2l3Jprtwdqj/1eJSc9pqo3ioAIiMDFSSBkkeTlPwihzIBQ0ppMwGIzgfZukazpdrXux/db4GaFQEJXe/f42te+tmLKlCl5aIbu9HbtFsoARRN1lqvZCH3//v2BUI/iHfs5X+rIZf7Y5Jl4f4IFu9qtva3CWup2WUNFQEIZKkhtJwIiIAJhQuC8RJJMoHy+dLP8RLhe2ZaOlmQjXa1wv6ItXQCWZOHvemFBfpD7fffd50f9pA91loa6SWNbuyCOR6FkTSWEM8DEHr6PJSTDhg1bhiYF3r0nctIiorwWEZVknW3Hl0VEJWZ5IhKyErzzLDZhrEVGJ1hXZ4u1NZ+w1ob9Vn/yDasuf2Vee6PinmHy2ddlioAIiMA5CZy3SLp7zINYtg6/Nr99xBW+9kiP7Rl2k1WV/brwxP5/67UF+cGzRg2lHw3QfSNGjDC2uOtEkhBF8uTJk87X/BmTiNiYgGv/8Wzbe2y+eSJisaItIjLGea477reEtIUWlzjKklNQ49mKWGrNcWuu32+NlW9ZzdFVeY2Vax8/JzVtIAIiIAIiEBYEeiySpDNl6SsF3syr82MhUtXHt1rVwSeKju398V19Te5zn/tcwfjx4/NhJVpCQoIjjJwcUlFRQeuRrlenB6y7NpcuMK7T04ZgfNrJQy9YvHeBxSdmWkoq5li2oBFCzQlrrttnDZV/ssrDv85rqdkgkezrG6j9iYAIiMAQJdArkRy3YEXu8PG3r0zAJI/ain12/MDDpSf2Le9VYs2ZOGKKSAGmiDgiiaxX6+jocMZqsc/r5MmTHfcrW965q7wq017ZfIMTcwx2teHncNF2tlpr40GLjh9tsYnjLDIq/j13axMtyd0oN4mwxqp3A0d3FfZrAs98eKzhrnbc1MwG3t4Hsdsh+tnTaYuACIjAoCfQK5Hk1WV/9GQwKXWY1VcftoriR618Z0Gv9/lBamgyUIBOPO+zJKurqx1LsqmpyWk8AOuytLW1tQa1lZvhcj344vociGkN4pHVJe2Nh2tPHFi+ivuduOQ5f1xilo+xymBXK2KS5TZyfDa2TbCa45us9sSrgWO7/m+fC+WnIIbJGDHmxTlEQdSZ8MSm8EewTiDR6V2J5aD/x6ITFAERCD8CvRa0S285FExOG2dN9RV28uAzVrb5G73e5wdvA2KSPsyg9LMchPFHWpIcr8U5lEjaCbz++uvnJWpjs/+9IDIyaW5XR3V2nHdhqXf4Zb60YbFWW1Vv1Sc2IXYJodz9/fPa54d9dL6GGtOx7yU8nZqe4iQ8YbEpPMeLoWQm8CbKZsLvI6grFgEREIHBS6DXgjbrhp3B1IyZsMjq7GTZKju274cTW2p2l/blJd9///3VmDVZU19fn+VFv1i6VRmThEgGUDfZa2GZed02f1LaNF9aeozVQChrTmyEUL4Cofxhr/d9N0pmZgSD701PQQYwM4L5+GDpDBswoJ1QYJ2Esi8/OtqXCIiACPSKQK9FcuZ1Gzd5R8zL7mxvQuLLq3Zs7/19miH6D//wDyvT09Nz33nnnXkLFizIh5uVX9+LusnVm/Ho1dWf9uYZOW+XpGTMz/JSKCvrLbL5VUtqeyTwhz/8ocdCicbwPowX80+CONKKZG1pdPcxnU5FWLVYFd2TU9jKbwdEEq38An11XdqPCIiACIhAzwn0WiSn+f60Ij3z8jzaRpVHVltlyWOFVYefKej5Kf3PO7/1rW9lo9n5JrSkWx4fH79l6tSpK9avX3/vE088cdaRWz09rjfry1mZk+7ypwzLzpo5uc7mj/ql0zcWDdZ7LJR/BytyHqzIMRBJxiITkIHLOZzIErJW1nrSIu5u58dORXC5Ok3h31J8sqe3Ue8TAREQgT4l0GuRzFr0pD9p2HxfZITH6iu3MkPUGqvfDTScfLPHFph7hT/84Q9LMIfS++abb8674447NqEucjN+1uv9no1g5ox7s6Zfco3/k9cdZlMCp1kBhRKN1QOvvfbaeR/3+2gKPw8HG4XlhTAmYsRYIpKMIlCy0oCm8LXoS8vG8MxyPQKR3PeeSBa9YtbnZTR9+qnRzkRABEQgTAj0SiTHznnAn5C+yBcVg1HMEIHO9jqUVJRZcw2SXypWFzZVvdVji/Jv//ZvH0Q7uns3bdqUM3PmzHuQtZr76quvzgsEAn3mYj3TPb7xxhuz5s6d60c27fuEcvv27SEnCI3J/kl2asYVuV96fX7+HBwkkyIJKzIFDQ+S0uF4Ra1nCxohVCD5qJoiCYF0RRKN4QNoDH/eghwmn1ddpgiIgAhcUAK9Ekk0EwjGp86ymNg0gyFpba3VqEUss6ba7VZ79AWs53u0/69+9avZ06dP3wQLbhW67DyE5ce4rHt/9rOf9bmb9WxCmZ2d7UcDA0coWZNJixJTSAIYCL2aZSewcAO7d+8OuO//q7/6qzy0zltWXHll3oGq65y6zM8+n260JCmSaRDJZHQDSkxONg+syaa6Oqtqbraq00SS7tZtcLc+L3frBf1HoIOJgAiIwNkI9EjEuLPMKd/0pU34rD8uZZolJSdYIrJSqk42WUNdCadqWFRMurXU74FlWbqquXZXoO74iyELXEFBQQlGZHm///3vpz3wwAPVKP/Y/M///M8X1LqiRTlv3rxTQokEHqfTD7v7tHDQNCxBZNkGZs+enQWLN4u1mmiVxzrNhx757bTS0rW3Fd0bnVJyfUd91hhaknS3Qijj4HJFayBrRhlLHfZXg7gkp6eUdQ+qfgMiuVEiqX+xIiACIjAoCPRYJLMW/mJlXOolufHJMywBCgkjyRrqG2AhlVpUdIzFJU3AGCq4X1tOQCgPW0vD3poEezcQbHp31d69e8/a+u073/nOPbDelsOKzMHg5XuQsJO7evXqeS+++GK/ulnPdDdyc3Oz4Or1Q6SzWJ+ZhM5CHATdDAuQzQw46xLnWIqOP49jGkkRk22vueaajx1pvDm75GR23oi6HXbnmhstCzsfhpWA90ZjoUPee4k7WDX4moOqsRN7G689Fwz2+J4Mik+UTkIEREAELiIC5/0Lecys72cneOesTEhblNXahDZvcaNhNaahTSq6yLTR3XrQEciEFLR+gw+WLeM62tHZprXObpnz/+imZDu5GlhiAdQ6FrplHFdffXUBtp2A57x9+/bVTJo06eNoRefH5I/lTz/99H0DxfzP/uzPcjGFZGVmZqYjkuwPy+bqvI4jR44Y6jcDV1xxxWqI550oVcmipbn5wNjS9fsWPV515JnNX9n2d/dwWDXrJJOxYEc6D5aANGCxmcBRMFo/bLG9OvbTNRUHV81rqQmUDtT16rgiIAIiIAL/Q+C8RHJc9k/yEtPmr0hgHDI+GbHH/dZQtcFiEqY4vU872qsdF2sw2BVITr8sOyZhnDc6zgvLMtYWTt5scydscFyVFBlYZ47QHDp0qAZNy71paYhrQoAY76Mrc8mSJdym9Mc//vHEgbxht912253Tpk0r4gQSiKDTYJ1Zr2yJR5GkhQkRZRegIlzPwXfffbcIyUXvE7n/i1rJCRBKt+OOK5L1EEe0pLNdo3y2/SN/sJPlu6zmyKrS8p3fHdBrHkjeOrYIiIAIDCYCIYtk1mW/XJmYthDu1SxnHFVbayNcq/usqfKdQHt75eqIqHTrajuBn20L1Bz+TYAXOSb7v7ITvTNzoyIT71kw84R38Yz9Tp9ViiHjexRMJL8Y5j864kOrkyJJVyZfg0VZuHbt2oKBBAaXazZEchMtSZ5nFGKKHACN0V1WVlZmBw8epCies2QDF+GLwxzOOIglrckWLJZ+FCfNXLX3mjW5w4anWUsT7MvGP1hK208CL7300gWNwQ4kYx1bBERABAYrgXOKJEUCbs+V++u+lFXbPoeVHvhlXoVayM3WVLX+riM7/r4olIv7zGc+w/3kQiTvSU1N9VIUaVFykgcSXwxZo85uaGFSgGiloYlAKWKTA25VYQoJ+8b63HOkkPMcmfG6a9euHMQjnT8KevqYctVr/tThS3yzpjTbZeOf5R8HBjf0KsRiP97Tfep9IiACIiACvSfwoSL5qU99Kg8db1ZA3Ky+fYq9sO4GJOAchov1ndLm2i13Hdv9ox6Jw8c//vE7YZnl4vR9GH3lRemE48qkheqOwEKsz7Zs2VKKNeAiefPNN9+DGOlyWsFM3KFIlpeX0y2cs2bNmh4x+OCt8922yn/HNUfIw/kDAclNhu5ChVgwQvUQAREQAREYCAKnRBLDi32Iu/l4ErTucnJylqGg3vmlHYMieArDtr1d9u6WpsC2P32nT1yBt99+uw+t5vyM97mZo3RlMiaJWKXBQitEjG/AReJLX/pSwYwZM/JhARvOhxZkj1vVne0m+3y+rMsvv9yP+5DF48CN67iiMeUkB+7cXgmxN/NWX1RcZn5kdIqPMzTbW48HWmr3FLY0bO/VfgfiA6tjioAIiMCFJOCI5Ec+8pECWHL5tJRY1sBkFBTzGydu8EHh6o6/3fXCCy8U9eUJfu1rX/PD3epDqYcTk+QILIokBJLu1hwkyQz4L/J77713JeKSucxc5Xmxwfobb7wRct1nqLzoksYQ6U3QSeceQCANnX6YQVvI8WDMCD5f125GVp4vNnmWPy55GtrhJTiDpttbjllT9bvWUPF2joQy1Luj7URABMKRgAcuVR8E0k9BpAi0tbU5STUUSX5NwcIv61L8or4L/Uv7XLCWLl3qo5UGS9JHVyZFklYUrNkcxOX6/Hg9ucl///d/H4S71amPpGj9/ve/nweXaL/UbSL+6RszZgybGDjZv+jy4yQ78Y8XJjTBwg6g+9AZLfmkjKW+2IRxEyJjhk+MiEqxiKhki4yKX5bgnedjqU5EZGy3SB63lrqdVocB09WHf90nXoGecNV7REAERGCwE/D89V//tR8xR5+buUkhoOXIZ/5yLi0tXfXss8/2ewIJag2zIZRzIZJb3nrrrX4RoJ7cjJtuuikXtZsr6RLmHwywImuee+65tJ7sK9T3fPGLX8yDdb2CIsk/XphRyz9YmNTEWCisyhpa3nCDe+kKZyz3UNVsK66Yg8zhOPNEsIl6DJ7hJq/ZZglp8y0uIdNi42KQldxqzQ1HnVIdzMy0E/sfOmfyVqjnre1EQARE4GIj4PnGN74RRHKOsU6RsTBmbWKYsVMLSNcirJY8fH3WDjkXG5APXs/dd99dMGXKFFq6TpwUlmQhRLKgv687Ly8viJiwpaSkODFhlsTwjxda2kykotXPUhr3eVvZQttycIFTrwp1dBKMqH4nDr1qiWnzLCGZyVHIHq4NWm31MWuu2231xzH/c8+PJJL9fTO1fxEQgSFLwIOYYJAxMAokrRN0wXEsJookE0eQMxLWv0SnXvlSyTVL07NY+pLQ9qy99Or6e3dt7/t45Ac/QV//+teDaHnnZP3SmqSrlQlVTKCi65cPxnDdtbF4nm0qyWYjBwuiH+x7z+gNe+wVS0y/3GITRkJso+G2bUOGcjlEcpfVHn81ULF/udytQ/afr05cBESgvwl4ML2iAJZkPi0WWia0WPgLmWUInKOIuGBY/xKddcPOYMqwmcgIbbDKshes5N3PXJA/GmDBOiJJC581pW5CE0tkaEkykYeLsUquI5UjSjfsn13jiYja7PHEH+zqarKujgYk6VQsS0jL9sXEj++OSTZbW/MRJO6sx+zPdwqrDj3Z71Zxf3+ItX8REAER6C8Czi/8u+66y4+m4j7GviiS3d1kWHkQlgL5UUzh6PJ48iPjMu3g9Vvhqsywxtpyqyj+GVrGFVyQus3Pfe5zfrS789HC531pRSzRzTKGy5fN1M/Z5cf90Iy99KGC2MRx+RFRqUjcabLktPHW0RkH0X82cHTHd8PyHvfXPyjtVwRE4OIicMoquvXWW32wWHwUSbj1AmgHF7i4LvXcV3M7mhukejz+cXBjsv9PJFYH1lGUjx5MmW01R1+yysYDgS0XaCgy/nipZrMFJuZQJPnHy4EDBwJvvvlmj4QNk1t8KZnX+r3DRllzY71VHn7FqkofnVhz7OXSc9PRFiIgAiIQfgQuiOtwKGD9FAQSgUd/FgQyFScci8Xkl3b2k8XX7kirA/h6/wWa+Xj//fdXI3FqM9vhIXnHt2nTpl53+Jnue9vvHbnQFxsbaZXHdhpKQIrKdxaGbJUOhXupcxQBERCBviIgkewmeY/HE5wHQRwOYUzCzzAe03m0YzVj1WJV4PUyPG/FKoE1udss0Fc34kz7Wb58eRDt6Qo5ZaS+vv6e733ve70uPRmX/Z95w8bdtiJ12HBrrKuFNfl7O7r33ye21Kwt7c9r0b5FQAREYCgSkEjirv0VYpCXYUIHU1g5zioRz87cRzy30ZLEokhWYh3B13vfE8rCtXhff930z372s3cuWrSoCOUmeeyIhKzjzQ888ECf1KvOyPlTiTdzcVZ0lMcqj26z2sNFRUd2L5c12V83U/sVAREYsgQkkrh1P4TYTUOizhh87YUwUiRjkSzjYbYvug/VY9WirIKjrTggGe5Wg0CWvmHWb0k8BXigJCf/7/7u7zwPPvhgEG0BC//t3/6tT0Q5a9HTeWmjP7IiJS3dJqW+bu2VRYZuShNR9iNrcsj+U9aJi4AI9AcBiSSo/sDjKZlvljW6WySTkCiTjOYBkeif2oji/UrOuIRQnoRAlmMxLvkORPKVfhTJ/Pz8lSjt8KHjUc7ixYs3vf7663nPP/98nzV1uOlTvyr5xLW1MJ49zmguTFspfPnll/tEhPvjg6p9ioAIiMBAEJBIgvr9EMkFEMlR+DoN1mMyRDIJ9Ylod2NtaKxwor7eqlGTyJikK5JvQSRf7UeR/NGPflSNWtUA2gUG0FBg+Te/+c0+vVfoEZuHCSwrOKaMjSM2bNhgaD/Yp8cYiA+0jikCIiACfUlAvxRB89/hbp3a7W5NY+IOXK0JnB0JsWxicwX0Ta2BJVmBbU+PSf6uH2OSTNrhqDC2pkMjgXsKCwt7nbTzwQ/Ot7/97SBa7lkXXMl79uwxZM8W/vGPf5Q12Zf/wrQvERCBIU1AIonb988o/5jB8g9akliJsCZjIJZoKGCtsB4bISI1eD6B18rwvA0/XxcM5qzvp+zWT3/607lLlixZCfdqHuZ6FqCx+eZ/+Zd/6ZOkndM/rV/96lcLYE3mo5E3lW2AAAAR5ElEQVSE0zidszKRKKTPxJD+J62TFwER6EsC+oXYTfNhM/9kj8c3nCKJ5ZSAuCKJL6uxjnfHI9/0zrM1FttvZRPf/e53C1Ab6STtIFknCAEr/Nd//dd+sfC+853vOGPA2Nru7bffdsaUQZQDaHJfiPFogb78sGlfIiACIjDUCEgku+/Y3d3WJFuHp2CxmUAQqw2rAauyu0Zyj8cT2HZbo6+xZmdg12sLe9T55lwfEtRDrkCHnVzM8cyBRbnJ7/fnrVy5ss+Sdk4/PtrfFcClm8+xXOzsQ7Fkk3skDFlxcfGgGHp9Ll56XQREQAT6i4BE8gNkH4BFiYYCPlqThNOKxRrJcqxNl3zXdiVOWZUw4rqH4uO9/skJPw488/h3+lwof/CDH1QjRliDWGFg7ty5eX2dtHP6Jefm5jpxSTa4Z49YVySZzLNz586wb3DfX//wtF8REIGhQUAieYb79AVYlSgH8dHlSpGkQD6GJJ2Z1+18MNE7/t7j+3++/FPXH9kCC2wFkl1WPfroo30SL1y4cCGHX/s5Huv/t3fusVWWdxx/CxMKFCxiwMpgh2sLka4zmgB/2LdhqLiI/aMYlhg53nAkxIIBF7JoDy5uWZZtXbLMRBet2WKWZa4V/gCF5LwM6oZyKTgsA2crbugsl8OltFT07Pt57GsU2/VyXnrj1+TJoT3v5Tnfc+invztf2SpBAV7PPvvsFXmfioqKYrJUGyZPnuzGcTFtpLm52cOqZKaoWuJ5u3btuiL3Hhz/PWyXpoApcLUrYL8Ae/gJuGnJB9V33Vpb+u4//vRAQUFB7IYbbqiora2tVPnE2h5e6iuHy5rzZTUmGYMFHJkTCbCamppcU3P6tmZy/Y7OFSBj6urTwEgukneAM03UuScjuTRtxJOr1z4jUQtv1zMFTIFBo4D9AuzFW6VM06Qg5tfX15co6WWFrL/4a6+91uti/Hnz5pXqOuVaPrAaqfITyjLCGZKKTWLVfUd1k3W92G6np2jg9ottbW3xcOg2921paXHzRMl21X03vv7664ko72nXMgVMAVNgMClgkOzlu6VWcUk1Hff37dtHck2FBlb7mr+5kVge7kolvnQIF6xPWYvxiRMnEv8r11DlXFyqyij1cHtizeH6/JQOPzQy+Phjl0QjSK5RnPLXvdzu1057/PHHX1Tj9Lg67aQ0szKX4c4k7giaDpKA+a233iqxDNeoFLfrmAKmwGBUwCDZy3ftzjvvjKnxeFIgiylutyYnJ6eSAcm0ecMClNVHXK9kypQp387Lyxsvy/AePV/EMYy+Iv6HW1UjsNwChnxpfqQHsC6pww8/YwFL5nwKllVvvPFGxo3In3jiiWrtq1TQ3ai91gjM+8loVa9YN7dSkAx0r4179uwJeimPnWYKmAKmwJBQwCCZwduo1m4xwXG/rK1cgdBBDzfpBfV6Ja4H7PS8gyLP4c4EiGSRDh/OSGfPHQ8QVW7hfk6bOI7FksS6BJKFhYUOlCTT6LiUahkTdXV1vbIqN2zYQNzTp1erbh/Mnj2bHrEprMaamprGDOSwU00BU8AUGHIKGCQzfEvLyspcnSGxxBCSYSwxPz/fuTABIhYmyTgAkTILLDasQ46V27ZO7tpXFQ8slhvWx6IDkvq5gyolGjyGiTzEC3GDyiW69tChQ92OUz755JNJQdiX6/YBAbtx6tSpSQG9UW7iEi0DZIafBTvdFDAFhp4CBskM39OHH344oViigyTxROAWuklnzJjhoEicDyACOYEvpe9r9P37il9WafLGV+B07733JgTMFUBV13oJ61Kxw3LB08Uu9ZyXSqXcPTQ+C8uyRu7eLktQ1KAgKVevLwu3BDDL3ZrU9YMXXnjhgcOHDxsgM/wc2OmmgCkwNBUwSGb4vq5cufILSBJv/HLCDXE+WYyBrMAdKqmo27x5c01vb/foo4++KBjHiVniwgW+oQtW8cOULMvE7t27O3TBqjlBUtapT4yU+wu4SfYl12vkZSW9fX12nilgCpgCA1EBg2SG78ry5ct9rDJiiaGbNIwlqmONp6kakWm8bNmyIpVrVOhepcQ7ce+G8U9csLIqG2WdktjjA1Is2EWLFq3Q8TE9X8LxgixZuYFcrwbIDN97O90UMAWGvgKR/QIf+lJ1/goFr6Tikj4Zq2EskUbhynAtuRIZoqtXr/aVDFStZCHngsUli9WKC5YGAMCaGCaQJCZK/HLSpEk7KFVRs4BAY7cMkFfzB9ZeuylgCnRbAYNkt6Xq/EAV5Z8GWBTi4wJVaUWNEmG6jBNmeuvHHnusnIHMWLFYjtybLFnASbIQkASexC6XLFnCcOXgmWeeMUBmKrydbwqYAleNAgMWkvQxJdNTyS7FygrdIXdhoCHEwUB8ZzTaKq1MUZepqtIMr6qqqs90VYNy54JVe7xS6ePRYk4dgJx1SbIQST64YpVR2/jyyy9PG4j62Z5MAVPAFBioCvTZL/OeCKBf/L6sIbIxv2jPJpehK86XO3FAgfL+++8vV1u5SjJb6bazd+/eGg0uvuJW5OV63nHHHeVz5syppPcre8GavKwPa+POnTsNkj35INqxpoApcNUrMCAh+eCDDzrLjNgaWZzUCxJvU02gpwzOAbVnxQer1WqulBggrdwUg1yzbdu2XhX6Z/JpXLhwYZGale/HkqStHdrhagWUWJL646JbpSKZ7MHONQVMAVNgqCkwoICDuLR7u/nmmxuUaOLchmFJBd1mFOvztmzZMqD2vH79+vSsWbNccwAgrjKPIiXsHOiPD8pDDz2UFCR9LHBikrhb6cNKEpFcsb666uzoj33ZPU0BU8AUGKwKRA6cpZ5XcSkrKzFaijCLMaXVnE4n9nkebdC6/JKrNaY5hw6SuA2xhphryC96yh22b98e+Z673FQnB/zommtW3LZoUdUHZWWuqbms3NQrr7wyvrfXy/S8xYsXF6uWMlB80sUkSSSiPZ5A6QveBshMBbbzTQFT4KpTIDLgLPO84vHDhgWT1XptVLuMbXo8q/Vfrfe0mjRe6rDndfnLet26dWnchrgMNUvRWURYkuoM46nnaGR7zvTdTmZnV8zPzk5kq8yiUXvcdPFiorytrVt/DGR67/93/tKlSyuISfJHhVzAzKLsUvMruR+7tilgCpgCg1WBSIDzfQFyugAZEyDHSYlrtD5rtyTP6fGE1r+16gFmN0C5atWqYrkMA8oaiEXSGJy4JKUMgmZcsHypPwVfKGv5Om1g3Zgxa27Lzs5Nq4XcblltT7e2xreqlVx/7s3ubQqYAqaAKRCdApFA8sdZWcnp6vJyvfY1Rms4fUeBpKAJJE9pfaj1rtbb6XSwx/O6rNW7++67i+Vy9TUlI6buMnGag+PSPHr0KEX609SKrTE6Gbp3pe8KjjfKlXy99jJSp3xLcb+ZAvgCrWpZkj9rafHf7oal3L272VGmgClgCpgC/a1AxpBcLytyTlZWENMrGS844mp1kNRqAZLATesj/bxBS7FJb1s63aP7aiRVUkk8PskxlFkcOXIkUD1il6CNUlzVdCTnZmX5E/Va3B8CWljLLVq4lJkGiUtZ5E4c7Gb8Ncr92bVMAVPAFDAFolegR7Dq6Pa/kHU1W9bVZEExF0hqSsVIxeiA5DmNhEppKsYpzUwEkgKIJ4B4B9PpuGKTnbolVVJRQZ9RLMdjx45tJJlHJSENlFmEbld1lukzt+sq/SHwTc1enKK9X6uVrdeGcFjLrVr8IXBSj7iUD33+OrsVe43+7bQrmgKmgClgCkSpQMaQfF6QnCFI5rVDcpzgNkrNt4nTnRTkTsj6OylIfiiQhJDc0wkkFyxY4GKRZLXiXqVROHFIxSX922+/Pab2a1UMKQaedJcRQEvVSeaArEsu3eMvZYH6MK2r83+YlZWep/1M0mvK0Qm4WkNIYkk6l7KeD13KGvAY7O6GS7nHG7YTTAFTwBQwBfpUgUggOWvYsMSN2naurMixis9lA0nA0Q7JEwCkHZK4W3+i+sejiuf9bvHiOiXn1Ah4KfqKFhYW1qlRuJtuETYKx71KOzpltZZoXJRzu1IvSYkDtYBYlsp87bb7VVZqsYrtE7JKfXqbMuNRpRKBWsoldK+vZYFiRRbKnayYqzdBK0egHKnFXMdLek0XBO2zuJT13Ed6xKX8ptb2zzlqX6aAKWAKmAKDWIGMf5H/XJZkoSCJKxJ362iBa4QAdknfn8XdKoic0Dqu7/+ltUvrudGj1xxbtCg3ecstcU3OiKEfZR6ULFAIT+mHLESX2cq4KQri6UHK88BRtYBuyoUmYXhnzjZ7J8+O95pOtgSqqQzOnwg6LcHAUlUyUEBDcK4DJLkuTcH5t55LkFErQMdura31J168GLuofeTJZTw1hKRe3xi5k0foj4FWdQM6I0v5jJ4/KUAqc9dBcr/Wnw2Sg/i/hW3dFDAFTIHPFcgYklzkD8OGpWfrkbKIUVhZegSSFwSNM3pUfaSL173DUgnItssyQIk56utXsvBKGSo8YcIE18EGeAFGAEZh/N/qC7zW03/1RmQ1eeNyPnMwpTxEA429059+T5bdGK/51JvexXP/9FvPH94xc+bMe5ilmJWVlct1BOS4QBmjkw+WIPegWQGt77gOY6WALwD9QWWlN0L7rdMx53V//gi4Tq9tnCB5rc4frn1+Kiu2SQA/peddclK7tbxXx/4xIm3tg2oKmAKmgCnQfwpEAsnn5JKcqDrJPDI/BRIyP0NI0nGHZgJYkXK1BpvT6Q6zUsvKyirmzp2bCMc+AUaVengCnFOHHqQ0FiBeCeCAHqOhgFx+fr5rWXfJm+SNG33OWZicz3EhSEMI0o1GQ5IdFJnawXUBM8dyr3Ctfuopd98dgnNKoHSWpJ4fK0iO1dzIb6hY/xPt4ZSucVrWJi5lIEmG69+1qg2S/feptjubAqaAKRCRApFAkr38VqDMESipIcQCI/OzGbhpva91RK3pDhYUBLIWKeVIYL2xBLNA8HPgVKmHa2wOwHC3AjBcrXSPoS0dcAN6fGFZEvMM29VxHlZgaAliDYZxS2KXQDAEoeKSzq2LO5cVThshKSjc1007d3r5tbXeO9ojFucM3ZM6UL1GbxTXY16jjj+HyxWXsp47rtd+VI+qlUz8xcpAIvqI2mVMAVPAFOg/BSKDZPgSiFGqfrBI/VuL1Jau7kw6XVcpYMyfPz8pyPlALkzKYfwVSToCYVBfX19C79Hp06cndIwPrOg7qmPigqavpJ44Vibnk/lKwg0QxdrkUf1evwLC0AIN9wUAOQ+XKslBADS0JLFIuZfmVyb4mZKB6tTO7YBqMRs5/zeqkSygRlL/HqtF4g7Xb9P1qAXFWgaSx/Tvg/p5rVzK1lSg/z7UdmdTwBQwBaJSIHJIdrSx9u45rrQDSGElhuOv6KCDu1OwCzRNgyxTrDlik3TayQVmQJVkHY7Tz1xWK1mvgA1IqrmA5/u+mz0ZLs7hPixZq40CZKDHWF5eno/LFauSZCEAS+xTkPaVRdthj9MNspJnKcN1ml6cq5PUQrhPtC5oAUlcrUcEyA8EyN9b152oPp92HVPAFDAF+lWBPoFkPB6vVsPyUtymuEOJFxJLJLMUlyk/B35h/BAI8gXwdGyK5uYCbC6QxDWKFRdaf9RRch2yUk+1zPbOnzvt5Y0/vkbXbUwmk69eru7y5csrKAHBpdse1wxkrSa6GiP1tECpmKRrKMCEE3YIJM+3NxJ4jz0JkKob7RC0/fou281NAVPAFDAFeqVAn0BSscYGuTixDB0MaRIA+PgCVHwv6zEQBAMBLyWL7sDWrVuDL7+itWvXprEAASnwxOIElCTzcI3/NN/lNbeODFpSBxInGp+/YqD6qdzJior6ArVPclKTltyuiV9aDLJXH0A7yRQwBUyBgaxAn0By5cqVDYo1xmTBOYuPeCKAa28U4JJw1K/c1+oUbo888kixzg0o3wghefz4cSzRhGZMdlobOZDFt72ZAqaAKWAKDGwF+gSS9913X8W0adMSQPLLRfzUN2IJ0gSgOw3LS0pKikn+IZ6Im3bTpk0Gx4H9+bLdmQKmgCkwqBXoE0iikOKSSWWP+mFMktIOAEnm6pYtW66Ye3RQvzu2eVPAFDAFTIF+VeB/NbZOoEB40l0AAAAASUVORK5CYII=\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"execution_count": 77
}
]
},
{
"cell_type": "code",
"source": [
"feature_type = \"hydrophobics\"\n",
"view = visualize_features(\n",
" molecules,\n",
" features[feature_type],\n",
" feature_type,\n",
" feature_colors[feature_type],\n",
")\n",
"view"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 334,
"referenced_widgets": [
"19a1643629f24a4dad41e285c9f33a42",
"926a6ed262a8451998beeccd3227022a",
"a0bc367f94cc45108706217affa96e3b",
"518c360f88d64b4daca7f67ec47e293b",
"971b7030dc4b42cc9a31b6b71474d7b6",
"c8abf8dc973843e49a62f38134ef450c",
"c6b1104525874b7ea2232fd600109dd3",
"65272f216766420fb2875e54090d8037",
"3e97f9659b154971b337e8b411c444bf",
"3228e4677b174bc980e7c013adc675c8",
"422e46a82c5943889960442c56608b2b",
"b1dd6c8985104ad4b80534dc7ef71355",
"ed714d79bd1f4aa99a097c833b355fed"
]
},
"id": "Mcr1cTRBeiYl",
"outputId": "6d812ff2-fc85-4e39-9430-b7ef8c1e7d42"
},
"execution_count": 78,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Number of hydrophobics in all ligands: 5\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"NGLWidget()"
],
"application/vnd.jupyter.widget-view+json": {
"version_major": 2,
"version_minor": 0,
"model_id": "a0bc367f94cc45108706217affa96e3b"
}
},
"metadata": {
"application/vnd.jupyter.widget-view+json": {
"colab": {
"custom_widget_manager": {
"url": "https://ssl.gstatic.com/colaboratory-static/widgets/colab-cdn-widget-manager/b3e629b1971e1542/manager.min.js"
}
}
}
}
}
]
},
{
"cell_type": "code",
"source": [
"view.render_image(trim=True, factor=2, transparent=True);"
],
"metadata": {
"id": "unjvtWVOelMB"
},
"execution_count": 79,
"outputs": []
},
{
"cell_type": "code",
"source": [
"view._display_image()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 352
},
"id": "CaSkqoPDenBb",
"outputId": "c483567a-5c12-4245-e51d-0c7928a2849d"
},
"execution_count": 80,
"outputs": [
{
"output_type": "execute_result",
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"execution_count": 80
}
]
},
{
"cell_type": "code",
"source": [
"features_coord = {\n",
" \"donors\": [list(item.GetPos()) for sublist in features[\"donors\"] for item in sublist],\n",
" \"acceptors\": [list(item.GetPos()) for sublist in features[\"acceptors\"] for item in sublist],\n",
" \"hydrophobics\": [\n",
" list(item.GetPos()) for sublist in features[\"hydrophobics\"] for item in sublist\n",
" ],\n",
"}"
],
"metadata": {
"id": "AjFLH2iteqhR"
},
"execution_count": 81,
"outputs": []
},
{
"cell_type": "code",
"source": [
"features_coord[\"acceptors\"]"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "WLUve910essH",
"outputId": "604417f4-31ce-49af-871a-f2c5c9504950"
},
"execution_count": 82,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[[12.373, -3.314, -33.274],\n",
" [10.7, -1.613, -33.576],\n",
" [11.856, -5.658, -33.171],\n",
" [17.138, -6.238, -29.068],\n",
" [16.557, -0.53, -32.978],\n",
" [-13.84, 14.773, -27.216],\n",
" [-12.179, 16.227, -28.145],\n",
" [-11.416, 12.929, -29.356],\n",
" [-16.767, 10.824, -25.959],\n",
" [-15.469, 19.365, -27.288],\n",
" [-16.073, 17.221, -22.619],\n",
" [-13.863, 14.66, -27.134],\n",
" [-12.175, 16.118, -27.994],\n",
" [-11.411, 12.856, -29.266],\n",
" [-17.026, 10.809, -26.396],\n",
" [-15.601, 9.901, -28.086],\n",
" [-15.445, 19.229, -27.215],\n",
" [-16.044, 17.165, -22.506],\n",
" [-13.847, 14.509, -26.997],\n",
" [-12.191, 15.981, -27.915],\n",
" [-11.39, 12.686, -29.117],\n",
" [-17.004, 10.64, -26.316],\n",
" [-15.524, 9.732, -27.955],\n",
" [-15.566, 19.015, -27.149],\n",
" [-16.11, 17.099, -22.372]]"
]
},
"metadata": {},
"execution_count": 82
}
]
},
{
"cell_type": "code",
"source": [
"kq = 7"
],
"metadata": {
"id": "GY53QKmUexQU"
},
"execution_count": 83,
"outputs": []
},
{
"cell_type": "code",
"source": [
"min_cluster_size = int(len(molecules) * 0.75)\n",
"top_cluster_number = 4"
],
"metadata": {
"id": "UaDMn852e0jn"
},
"execution_count": 84,
"outputs": []
},
{
"cell_type": "code",
"source": [
"def clustering(feature_coord, kq):\n",
" \"\"\"\n",
" Compute the k-means clustering of input feature coordinates.\n",
"\n",
" Parameters\n",
" -----------\n",
" feature_coord: list\n",
" feature coordinates extracted from the features of a set of molecules\n",
" kq: int\n",
" Quotient used when calculating number of features k\n",
"\n",
" Returns\n",
" ----------\n",
" sklearn.cluster._kmeans.KMeans\n",
" \"\"\"\n",
" # Define parameter k as feature number divided by \"k quotient\"\n",
" k = math.ceil(len(feature_coord) / kq)\n",
" # Tailor-made adaption of k for hydrophobics in for the example in this talktorial\n",
" k = 2 if k == 1 else k\n",
" print(f\"Clustering: \\nVariable k in k-means: {k} of {len(feature_coord)} points\\n\")\n",
"\n",
" # Initialize k-means and compute clustering\n",
" k_means = cluster.KMeans(n_clusters=k, n_init=10)\n",
" k_means.fit(feature_coord)\n",
"\n",
" return k_means"
],
"metadata": {
"id": "uGV7CCSie1-b"
},
"execution_count": 85,
"outputs": []
},
{
"cell_type": "code",
"source": [
"def get_clusters(k_means, min_cluster_size, top_cluster_number):\n",
" \"\"\"\n",
" Select clusters from a k-means clustering and returns the indices of the selected clusters.\n",
" The selection is based on cluster size. The largest clusters are chosen.\n",
"\n",
" Parameters\n",
" -----------\n",
" k_means: sklearn.cluster._kmeans.KMeans\n",
" k-means clustering of feature coordinates\n",
" min_cluster_size: int\n",
" minimum size needed for a cluster to be viable for selection\n",
" top_cluster_number: int\n",
" number of clusters to be selected\n",
"\n",
" Returns\n",
" ----------\n",
" list of int\n",
" indices of selected clusters\n",
" \"\"\"\n",
"\n",
" # Sort clusters by size and only show largest\n",
" feature_labels = k_means.labels_\n",
"\n",
" feature_labels_count = Counter(feature_labels)\n",
"\n",
" feature_labels_count = sorted(\n",
" feature_labels_count.items(), key=operator.itemgetter(1), reverse=True\n",
" )\n",
" print(f\"Clusters sorted by size: \\n{feature_labels_count}\\n\")\n",
"\n",
" # Get number of the largest clusters, which are larger then the threshold (selected clusters)\n",
" cluster_indices_sel = []\n",
"\n",
" for cluster_index, cluster_size in feature_labels_count:\n",
" if cluster_size >= min_cluster_size and top_cluster_number > 0:\n",
" cluster_indices_sel.append(cluster_index)\n",
" top_cluster_number -= 1\n",
"\n",
" print(f\"Cluster indices of selected clusters: \\n{cluster_indices_sel}\\n\")\n",
"\n",
" return cluster_indices_sel"
],
"metadata": {
"id": "Ragsvzcie3rv"
},
"execution_count": 86,
"outputs": []
},
{
"cell_type": "code",
"source": [
"k_means = {\n",
" \"donors\": clustering(features_coord[\"donors\"], kq),\n",
" \"acceptors\": clustering(features_coord[\"acceptors\"], kq),\n",
" \"hydrophobics\": clustering(features_coord[\"hydrophobics\"], kq),\n",
"}"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "jCqG038Te5yV",
"outputId": "e5ebb0de-dbe0-43ba-894e-cf2e276c41d0"
},
"execution_count": 87,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Clustering: \n",
"Variable k in k-means: 2 of 10 points\n",
"\n",
"Clustering: \n",
"Variable k in k-means: 4 of 25 points\n",
"\n",
"Clustering: \n",
"Variable k in k-means: 2 of 5 points\n",
"\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"print(\"Hydrogen bond donors\\n\")\n",
"cluster_indices_sel_donors = get_clusters(k_means[\"donors\"], min_cluster_size, top_cluster_number)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "vT35C7q4e8jW",
"outputId": "df9f7a14-b17a-4d68-84a2-805e83680f76"
},
"execution_count": 88,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Hydrogen bond donors\n",
"\n",
"Clusters sorted by size: \n",
"[(0, 6), (1, 4)]\n",
"\n",
"Cluster indices of selected clusters: \n",
"[0, 1]\n",
"\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"print(\"Hydrogen bond acceptors\\n\")\n",
"cluster_indices_sel_acceptors = get_clusters(\n",
" k_means[\"acceptors\"], min_cluster_size, top_cluster_number\n",
")"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "uTcxiL48e-ox",
"outputId": "33c1ec15-e0d7-4dd9-d3f1-39ce9f641220"
},
"execution_count": 89,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Hydrogen bond acceptors\n",
"\n",
"Clusters sorted by size: \n",
"[(3, 9), (2, 6), (1, 5), (0, 5)]\n",
"\n",
"Cluster indices of selected clusters: \n",
"[3, 2, 1, 0]\n",
"\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"print(\"Hydrophobic contacts\\n\")\n",
"cluster_indices_sel_hydrophobic = get_clusters(\n",
" k_means[\"hydrophobics\"], min_cluster_size, top_cluster_number\n",
")"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "RmSbQg3BfAkC",
"outputId": "5db1ff6f-5d7e-4187-f69a-a756f48491af"
},
"execution_count": 90,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Hydrophobic contacts\n",
"\n",
"Clusters sorted by size: \n",
"[(0, 3), (1, 2)]\n",
"\n",
"Cluster indices of selected clusters: \n",
"[0]\n",
"\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"cluster_indices_sel = {\n",
" \"donors\": cluster_indices_sel_donors,\n",
" \"acceptors\": cluster_indices_sel_acceptors,\n",
" \"hydrophobics\": cluster_indices_sel_hydrophobic,\n",
"}"
],
"metadata": {
"id": "f7GuPqAofE7V"
},
"execution_count": 91,
"outputs": []
},
{
"cell_type": "code",
"source": [
"def get_selected_cluster_center_coords(k_means, cluster_indices_sel):\n",
" \"\"\"Retrieve cluster center coordinates for selected clusters.\n",
" The selected clusters are defined by their indices.\n",
"\n",
" Parameters\n",
" -----------\n",
" k_means: sklearn.cluster._kmeans.KMeans\n",
" k-means clustering of feature coordinates\n",
" cluster_indices_sel: list of int\n",
" indices of the chosen clusters\n",
"\n",
" Returns\n",
" ----------\n",
" two-dimensional list of floats\n",
" cluster center coordinates\n",
" \"\"\"\n",
" cluster_centers = k_means.cluster_centers_\n",
"\n",
" # Cast to list and then to pandas Series (for element selection by indices)\n",
" cluster_centers = pd.Series(cluster_centers.tolist())\n",
"\n",
" # Select cluster centers by indices of selected clusters\n",
" cluster_centers_sel = cluster_centers[cluster_indices_sel]\n",
"\n",
" return list(cluster_centers_sel)"
],
"metadata": {
"id": "o7atj9CIfHmV"
},
"execution_count": 92,
"outputs": []
},
{
"cell_type": "code",
"source": [
"cluster_centers_sel = {\n",
" \"donors\": get_selected_cluster_center_coords(k_means[\"donors\"], cluster_indices_sel[\"donors\"]),\n",
" \"acceptors\": get_selected_cluster_center_coords(\n",
" k_means[\"acceptors\"], cluster_indices_sel[\"acceptors\"]\n",
" ),\n",
" \"hydrophobics\": get_selected_cluster_center_coords(\n",
" k_means[\"hydrophobics\"], cluster_indices_sel[\"hydrophobics\"]\n",
" ),\n",
"}"
],
"metadata": {
"id": "kumFkWeGfJa3"
},
"execution_count": 93,
"outputs": []
},
{
"cell_type": "code",
"source": [
"cluster_centers_sel[\"acceptors\"]"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "wJhUX9s1fMsh",
"outputId": "a1311de2-a074-4cd8-e0d4-d202a6ea3b35"
},
"execution_count": 94,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"[[-12.479111111111111, 14.526555555555555, -28.126666666666665],\n",
" [-15.7845, 18.182333333333332, -24.858166666666666],\n",
" [13.724800000000002, -3.4705999999999992, -32.4134],\n",
" [-16.3844, 10.3812, -26.9424]]"
]
},
"metadata": {},
"execution_count": 94
}
]
},
{
"cell_type": "code",
"source": [
"def visualize_clusters(\n",
" molecules,\n",
" features,\n",
" clusters,\n",
" feature_type=\"features\",\n",
" color=\"yellow\",\n",
" feature_radius=0.5,\n",
" cluster_radius=1,\n",
"):\n",
" \"\"\"Visualize the cluster centers.\n",
"\n",
" Parameters\n",
" -----------\n",
" molecules: list of rdkit.Chem.rdchem.Mol\n",
" molecules to be visualized\n",
" features: list of tuples of rdkit.Chem.rdMolChemicalFeatures.MolChemicalFeature\n",
" extracted features from molecules chosen to be highlighted\n",
" clusters: Two-dimensional list of floats\n",
" cluster center coordinates\n",
" feature_type: string, optional\n",
" feature type being visualized\n",
" color: string, optional\n",
" color used for rendering the features and cluster centers\n",
" feature_radius: float, optional\n",
" rendering size of the features\n",
" cluster_radius: float, optional\n",
" rendering size of the cluster centers\n",
"\n",
" Returns\n",
" ----------\n",
" nglview.widget.NGLWidget\n",
" \"\"\"\n",
" view = visualize_features(\n",
" molecules,\n",
" features,\n",
" feature_type,\n",
" color=color,\n",
" sphere_radius=feature_radius,\n",
" )\n",
" for i, center in enumerate(clusters, 1):\n",
" view.shape.add_sphere(list(center), color, cluster_radius, f\"cluster_{feature_type}_{i}\")\n",
" return view"
],
"metadata": {
"id": "Va_9rJg7fTLw"
},
"execution_count": 95,
"outputs": []
},
{
"cell_type": "code",
"source": [
"feature_type = \"donors\"\n",
"view = visualize_clusters(\n",
" molecules,\n",
" features[feature_type],\n",
" cluster_centers_sel[feature_type],\n",
" feature_type,\n",
" feature_colors[feature_type],\n",
")\n",
"view"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 334,
"referenced_widgets": [
"7cd1a160f2884d8d925ed8fa8aa12f06",
"0f42108209e948e28cf465f355f8d4c5",
"3e55f195b1564f63a20fedbe1562387d",
"ae820eae22f04e8b8435254efce615ed",
"52d6fa6534eb442680b79c368d5bddc8",
"b9db9dc52c344b2ba3b064feb02e6b47",
"0bb03ff2314c44e494f129ccb511bca9",
"e97048ccc17641d1975b5ee9e965275f",
"b9af2a4fe9dd48eabfa9349f50e74a0d",
"f53578cd1f8d4bc5aea55654a4884753",
"125de8942e9f477590d8df0155bf0658",
"53897513e2ac49a0875c826ab757e9b8",
"9d41eaeb14e1495eb37e6825dd61af34"
]
},
"id": "KE19mOJwfVyA",
"outputId": "7a928c82-ccc1-495b-bc5e-9490a5c62f5e"
},
"execution_count": 96,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Number of donors in all ligands: 10\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"NGLWidget()"
],
"application/vnd.jupyter.widget-view+json": {
"version_major": 2,
"version_minor": 0,
"model_id": "3e55f195b1564f63a20fedbe1562387d"
}
},
"metadata": {
"application/vnd.jupyter.widget-view+json": {
"colab": {
"custom_widget_manager": {
"url": "https://ssl.gstatic.com/colaboratory-static/widgets/colab-cdn-widget-manager/b3e629b1971e1542/manager.min.js"
}
}
}
}
}
]
},
{
"cell_type": "code",
"source": [
"view.render_image(trim=True, factor=2, transparent=True);"
],
"metadata": {
"id": "Wv3d8Bxgfc7Y"
},
"execution_count": 97,
"outputs": []
},
{
"cell_type": "code",
"source": [
"view._display_image()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 352
},
"id": "hQD2eVN2ffIg",
"outputId": "863c14bc-38f9-40f0-ebf4-73de30cf24f0"
},
"execution_count": 98,
"outputs": [
{
"output_type": "execute_result",
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"execution_count": 98
}
]
},
{
"cell_type": "code",
"source": [
"feature_type = \"acceptors\"\n",
"view = visualize_clusters(\n",
" molecules,\n",
" features[feature_type],\n",
" cluster_centers_sel[feature_type],\n",
" feature_type,\n",
" feature_colors[feature_type],\n",
")\n",
"view"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 334,
"referenced_widgets": [
"a120441028fc4b1a932ddf54994547e0",
"a3ef457c252e423e923f4e35674c1932",
"25b695653d444826b17ff0bda001b633",
"2f88909a3c134de6b9409cc81765276c",
"d5bd3bf58a3441cab196385f3bdae651",
"49fd508981bf45949eeb71c2738c73cc",
"67d7a407dcef4357802188c503c20615",
"2db42ae86c1a416e87536f1b64380ff0",
"83fd9918df3a420bbb1cc197d9551425",
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]
},
"id": "GwRqXDspfjYt",
"outputId": "2df7c6e8-c946-4296-8ff9-dc1d57a33109"
},
"execution_count": 99,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Number of acceptors in all ligands: 25\n"
]
},
{
"output_type": "display_data",
"data": {
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"NGLWidget()"
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"version_major": 2,
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"model_id": "25b695653d444826b17ff0bda001b633"
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{
"cell_type": "code",
"source": [
"view.render_image(trim=True, factor=2, transparent=True);"
],
"metadata": {
"id": "LBEcmbV2flZV"
},
"execution_count": 103,
"outputs": []
},
{
"cell_type": "code",
"source": [
"view._display_image()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 41
},
"id": "x5t7XuVcft62",
"outputId": "60921e64-a95d-4322-d674-fc8537903d5b"
},
"execution_count": 104,
"outputs": [
{
"output_type": "execute_result",
"data": {
"image/png": "\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"execution_count": 104
}
]
},
{
"cell_type": "code",
"source": [
"feature_type = \"hydrophobics\"\n",
"view = visualize_clusters(\n",
" molecules,\n",
" features[feature_type],\n",
" cluster_centers_sel[feature_type],\n",
" feature_type,\n",
" feature_colors[feature_type],\n",
")\n",
"view"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 334,
"referenced_widgets": [
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"id": "4nGjyazMf2u-",
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},
"execution_count": 105,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"Number of hydrophobics in all ligands: 5\n"
]
},
{
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"NGLWidget()"
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{
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"source": [
"view.render_image(trim=True, factor=2, transparent=True);"
],
"metadata": {
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},
"execution_count": 106,
"outputs": []
},
{
"cell_type": "code",
"source": [
"view._display_image()"
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"metadata": {
"id": "HAbV2oejf8ZP"
},
"execution_count": null,
"outputs": []
}
]
}