{ "cells": [ { "cell_type": "markdown", "id": "cb0d308b-8f50-4ac9-a8a3-550d8a2e3feb", "metadata": {}, "source": [ " \n", "\n", "# The OpenFE Showcase: Relative Binding Free Energies in the TYK2 System" ] }, { "cell_type": "markdown", "id": "8eea1a56-3241-4ccf-9d3a-88de6bbf0e0e", "metadata": {}, "source": [ "# Intro\n", "\n", "Welcome to the Open Free Energy toolkit!\n", "\n", "The OpenFE toolkit provides open-source frameworks for calculating alchemical free energies. This notebook showcases the methods that are available in OpenFE and their usage.\n", "\n", "Throughout this showcase, we will introduce different interchangeable components that users can choose from during the setup of free energy calculations. OpenFE allows you to mix and match different components, such as:\n", "\n", "* Atom mappers\n", "* Scorers (for atom mappings)\n", "* Ligand networks\n", "\n", "This showcase currently focuses on relative binding free energy (RBFE) calculations. However, OpenFE also provides protocols for running [absolute hydration free energy calculations](https://docs.openfree.energy/en/latest/tutorials/ahfe_tutorial.html) and [Molecular Dynamics (MD) simulations](https://docs.openfree.energy/en/latest/tutorials/md_tutorial.html). In the future, other methods will become available, such as absolute binding free energy calculations and RBFE calculations using a Separated Topologies approach.\n", "\n", "If you are planning your own calculations, please also check out our [tutorials](https://docs.openfree.energy/en/stable/tutorials/index.html) which will walk you step-by-step through setup, execution and analysis of different protocols." ] }, { "cell_type": "markdown", "id": "28f40a29-4ddd-4f25-8c08-154bb3139bb3", "metadata": {}, "source": [ "# Outline\n", "\n", "0. Setup for Google Colab \n", "1. Overview \n", "2. Setup \n", " 2.1. Loading Ligands and Defining Ligand Atom Mappings \n", " 2.2. Creating a ligand network \n", " 2.3. Defining ChemicalSystems \n", " 2.4. Defining the RBFE simulation settings and protocol \n", "3. Running a Relative Ligand Binding Free Energy Calculation \n", " 3.1. Using the Python API \n", " 3.2. Using the CLI \n", "4. Analysis\n", "5. Relative Free Energies with the OpenFE CLI\n", "6. Useful References for Getting Started" ] }, { "cell_type": "markdown", "id": "AUgaKFN7eCt5", "metadata": { "id": "AUgaKFN7eCt5", "nbsphinx": "hidden" }, "source": [ "# 0. Setup for Google Colab\n", "\n", "If you are running this example in Google Colab, run the following cells to setup the environment. If you are running this notebook locally, skip down to `1. Overview`" ] }, { "cell_type": "code", "execution_count": 1, "id": "-jX9udRGehD3", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "-jX9udRGehD3", "nbsphinx": "hidden", "outputId": "78a0d40d-a6d2-4a93-a041-406a8cb551b9", "tags": [] }, "outputs": [], "source": [ "# NBVAL_SKIP\n", "# Only run this cell if on google colab\n", "import os\n", "if \"COLAB_RELEASE_TAG\" in os.environ:\n", " !pip install -q condacolab\n", " import condacolab\n", " condacolab.install_from_url(\"https://github.com/OpenFreeEnergy/openfe/releases/download/v1.2.0/OpenFEforge-1.2.0-Linux-x86_64.sh\")" ] }, { "cell_type": "code", "execution_count": 2, "id": "dlCARZ2_fAI4", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "dlCARZ2_fAI4", "nbsphinx": "hidden", "outputId": "d528f4dc-5105-4288-ea08-9b2e75d442ff", "tags": [] }, "outputs": [], "source": [ "# NBVAL_SKIP\n", "# Only run this cell if on google colab\n", "import os\n", "if \"COLAB_RELEASE_TAG\" in os.environ:\n", " import condacolab\n", " import locale\n", " locale.getpreferredencoding = lambda: \"UTF-8\"\n", " !mkdir inputs && cd inputs && openfe fetch rbfe-tutorial\n", " for _ in range(3):\n", " # Sometimes we have to re-run the check\n", " try:\n", " condacolab.check()\n", " except:\n", " pass\n", " else:\n", " break" ] }, { "cell_type": "markdown", "id": "0eaea8f6", "metadata": { "id": "0eaea8f6" }, "source": [ "# 1. Overview\n", "\n", "In this example we show how to set up a network of transformations using\n", "the OpenFE toolkit for small chemical modifications of ligands binding to tyrosine kinase 2 (TYK2).\n", "\n", "For convenience, a prepared (capped and protonated) PDB structure of the\n", "TYK2 protein is provided under `inputs/tyk2_protein.pdb`. " ] }, { "cell_type": "markdown", "id": "31608e5a-cedf-4840-b809-a7df32b319ea", "metadata": {}, "source": [ "" ] }, { "cell_type": "markdown", "id": "e9a7f137", "metadata": { "id": "e9a7f137" }, "source": [ "## 1.1. The dataset: Alchemical transformations of TYK2 ligands\n", "\n", "Here we explore how OpenFE can be used to build a network of alchemical transformations between the TYK2 ligands.\n", "\n", "First, we will use rdkit to visualize the TYK2 ligands." ] }, { "cell_type": "code", "execution_count": 3, "id": "711d73bc-519f-4b81-9daf-c7594c7bbf8f", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from rdkit import Chem\n", "from rdkit.Chem import AllChem\n", "from rdkit.Chem import Draw\n", "\n", "# Extract the contents of the sdf file and visualise it\n", "ligands_rdmol = [mol for mol in\n", " Chem.SDMolSupplier('inputs/tyk2_ligands.sdf', removeHs=False)]\n", "\n", "for ligand in ligands_rdmol:\n", " AllChem.Compute2DCoords(ligand)\n", "\n", "Chem.Draw.MolsToGridImage(ligands_rdmol)" ] }, { "cell_type": "markdown", "id": "0870f84e", "metadata": { "id": "0870f84e" }, "source": [ "## 1.2. The plan\n", "\n", "Here is what we will achieve in this notebook and what software toolchains are\n", "used along the way.\n", " \n", "\n", "| **Actions** | **Software** |\n", "|:------------------------------|:-----------------------------------------------------------|\n", "| Create OpenFE Molecules | OpenFE RDKit |\n", "| Create Network | OpenFE Lomap, Networkx |\n", "| Visualise Network | OpenFE NetworkX, RDKit, Matplotlib |\n", "| Create ligand topologies | OpenFE interface - OpenFF tk |\n", "| Create hybrid OpenMM topology | OpenFE interface - OpenMMTools (eventually - ex Perses) |\n", "| Create Lambda Protocol | OpenFE interface - OpenMMTools (eventually - ex Perses) |\n", "| Set up and run RBFE calculations | OpenFE interface - OpenMM + OpenMMTools |\n", "| Analyze RBFE calculations | OpenFE interface - PyMBAR + OpenMMTools |" ] }, { "cell_type": "markdown", "id": "14ade1f0", "metadata": { "id": "14ade1f0" }, "source": [ "# 2. Setup" ] }, { "cell_type": "markdown", "id": "5962dec2-d9ef-475d-8086-ee15954e81f6", "metadata": {}, "source": [ "## 2.1. Loading Ligands and Defining Ligand Atom Mappings" ] }, { "cell_type": "markdown", "id": "f734578f", "metadata": { "id": "f734578f" }, "source": [ "### Creating OpenFE SmallMoleculeComponents\n", "\n", "To keep track of the various inputs being passed through the OpenFE\n", "toolkit, OpenFE implements a set of Components which define the proteins,\n", "small molecules, and solvent components which a system may contain. Here we\n", "use the [SmallMoleculeComponent](https://github.com/OpenFreeEnergy/gufe/blob/main/gufe/components/smallmoleculecomponent.py)\n", "which takes in either [RDKit molecules](https://www.rdkit.org/docs/source/rdkit.Chem.rdmolfiles.html)\n", "or [OpenFF molecules](https://open-forcefield-toolkit.readthedocs.io/en/0.9.2/api/generated/openff.toolkit.topology.Molecule.html).\n", "\n", "In the backend, OpenFE treats the RDKit molecules as the central representation\n", "of the ligands, and uses the OpenFF toolkit to convert between objects from\n", "various toolchains (for example OpenEye's OEMol).\n", "\n", "Here we demonstrate how to load the ligands from `inputs/tyk2_ligands.sdf` into a\n", "list of OpenFE `SmallMoleculeComponent`s for further processing." ] }, { "cell_type": "markdown", "id": "fbc94d04-5d68-4123-82b2-97a1b8872375", "metadata": {}, "source": [ "Load ligands using RDKit:" ] }, { "cell_type": "code", "execution_count": 4, "id": "4096ce97", "metadata": { "id": "4096ce97" }, "outputs": [], "source": [ "import locale\n", "locale.getpreferredencoding = lambda _: 'UTF-8' # hack for google colab, not needed for local execution\n", "from openfe import SmallMoleculeComponent\n", "\n", "# Load ligands using RDKit\n", "ligands_sdf = Chem.SDMolSupplier('inputs/tyk2_ligands.sdf', removeHs=False)\n", "\n", "# Now pass these to form a list of Molecules\n", "ligand_mols = [SmallMoleculeComponent(sdf) for sdf in ligands_sdf]" ] }, { "cell_type": "markdown", "id": "044045af-020c-4926-b295-0c9db5bd6a0c", "metadata": {}, "source": [ "Load ligands using the OpenFF toolkit:" ] }, { "cell_type": "code", "execution_count": 5, "id": "b5e5b538-4847-42f5-b29e-6e1f25bbbeed", "metadata": {}, "outputs": [], "source": [ "from openff.toolkit import Molecule\n", "from openfe import SmallMoleculeComponent\n", "\n", "# Load ligands using OpenFF toolkit\n", "ligands_sdf = Molecule.from_file('inputs/tyk2_ligands.sdf')\n", "\n", "# Now pass these to form a list of Molecules\n", "ligand_mols = [SmallMoleculeComponent.from_openff(sdf) for sdf in ligands_sdf]" ] }, { "cell_type": "markdown", "id": "3a8d5433", "metadata": { "id": "3a8d5433" }, "source": [ "OpenFE `SmallMoleculeComponent`s have some useful built-in attributes and methods.\n", "\n", "For example, the molecule's name (as defined by the SDF file) can be accessed:" ] }, { "cell_type": "code", "execution_count": 6, "id": "faacbebb", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "faacbebb", "outputId": "bc0ad1d9-72ad-49d0-e322-61b2a87d5301" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "name: lig_ejm_31\n" ] } ], "source": [ "print(\"name: \", ligand_mols[0].name)" ] }, { "cell_type": "markdown", "id": "b24a3ffa", "metadata": { "id": "b24a3ffa" }, "source": [ "As previously stated, `SmallMoleculeComponent`s also use the OpenFF backend to allow conversion between different object types. For example, it's possible to obtain an OpenFF Molecule:" ] }, { "cell_type": "code", "execution_count": 7, "id": "29b7c68a", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "29b7c68a", "outputId": "39e7a77a-d2b8-49d2-8f70-fd8118845a99" }, "outputs": [ { "data": { "text/plain": [ "openff.toolkit.topology.molecule.Molecule" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "type(ligand_mols[0].to_openff())" ] }, { "cell_type": "markdown", "id": "9e72bee2-bcb3-466f-86e7-8b51c8932aa7", "metadata": {}, "source": [ "### Ligand Atom Mapping" ] }, { "cell_type": "markdown", "id": "3128085c-db8a-4a70-89ef-0fde956fdb40", "metadata": {}, "source": [ "In the [hybrid topology RBFE protocol](https://docs.openfree.energy/en/latest/guide/protocols/relativehybridtopology.html) , an atom mapping defines which atoms are mutated during the alchemical transformation.\n", "The user can choose between two different atom mappers:\n", "1. `LomapAtomMapper`\n", " * based on the maximum common substructure (MCS)\n", "2. `KartografAtomMapper`\n", " * based on the 3D geometries of the ligands\n", "\n", "While we use the defaults here, please note that the various supported arguments of\n", "Lomap and Kartograf can be passed to the atom mapper." ] }, { "cell_type": "markdown", "id": "1eec9783-4620-43ff-8ef7-a647fd6f54ac", "metadata": {}, "source": [ "**1. `LomapAtomMapper`**" ] }, { "cell_type": "code", "execution_count": 8, "id": "01384f2a-99ce-400d-a988-82fd393c4ee5", "metadata": {}, "outputs": [], "source": [ "from openfe.setup import LomapAtomMapper\n", "mapper = LomapAtomMapper()\n", "lomap_mapping = next(mapper.suggest_mappings(ligand_mols[0], ligand_mols[4]))" ] }, { "cell_type": "markdown", "id": "140f4e46-a58b-425d-b9cf-ab62078fc050", "metadata": {}, "source": [ "We can also visualize the atom mappings by invoking the individual OpenFE `AtomMapping` objects directly.\n", "\n", "Unique atoms between each mapping are shown in red, and atoms which are mapped but undergo element changes are shown in blue. Bonds which either involve atoms that are unique or undergo element changes are highlighted in red." ] }, { "cell_type": "code", "execution_count": 9, "id": "00fb84d6-9fa7-4114-96e5-c656ad6f3a3f", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# We can display the atom mapping in 2D by calling it\n", "lomap_mapping" ] }, { "cell_type": "markdown", "id": "d3f10c24-e50c-46da-b8d5-8de1f3efae90", "metadata": {}, "source": [ "It is also possible to visualize the mapping in 3D using py3dmol:\n", "\n", "Here, the ``visualization_3D`` method displays the two end state molecules (left and right), in addition to the hybrid molecule (middle).\n", "\n", "Atoms that have the same sphere color in both end states are mapped (i.e. will be interpolated between each other), whilst those that do not have a coloured sphere are unmapped (i.e. will be transformed into dummy atoms in the opposite end state)." ] }, { "cell_type": "code", "execution_count": 10, "id": "bbcfd2e2-a50e-4398-85d1-f80b01597720", "metadata": {}, "outputs": [ { "data": { "application/3dmoljs_load.v0": "
\n

3Dmol.js failed to load for some reason. Please check your browser console for error messages.

\n
\n", "text/html": [ "
\n", "

3Dmol.js failed to load for some reason. Please check your browser console for error messages.

\n", "
\n", "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Visualize the mapping in 3D\n", "from openfe.utils import visualization_3D\n", "\n", "visualization_3D.view_mapping_3d(lomap_mapping, show_atomIDs=True)" ] }, { "cell_type": "markdown", "id": "f21bf9e5-6cb8-41c1-b0fd-e70ee2e71852", "metadata": {}, "source": [ "**2. `KartografAtomMapper`**\n", "\n", "We can also use the `KartografAtomMapper` which is based on the 3D geometries of the ligands." ] }, { "cell_type": "code", "execution_count": 11, "id": "c710a20e-2098-461f-8fa6-5e44b19ad6aa", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:\t#################################\n", "INFO:\tMap Heavy Atoms \n", "INFO:\t#################################\n", "INFO:\tMasking Atoms\n", "INFO:\tBuild Distance Matrix\n", "INFO:\tCalculate Mapping\n", "INFO:\tFind Maximal overlapping connected sets of mapped atoms\n", "INFO:\t#################################\n", "INFO:\tMap Hydrogen Atoms: \n", "INFO:\t#################################\n", "INFO:\tMasking Atoms\n", "INFO:\tBuild Distance Matrix\n", "INFO:\tCalculate Mapping\n", "INFO:\tFind Maximal overlapping connected sets of mapped atoms\n" ] } ], "source": [ "from kartograf import KartografAtomMapper\n", "# Build Kartograf Atom Mapper\n", "mapper = KartografAtomMapper(atom_map_hydrogens=True)\n", "\n", "# Get Mapping\n", "kartograf_mapping = next(mapper.suggest_mappings(ligand_mols[0], ligand_mols[4]))" ] }, { "cell_type": "code", "execution_count": 12, "id": "56117a03-6503-4317-9364-27e343a4911e", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# We can display the atom mapping in 2D by calling it\n", "kartograf_mapping" ] }, { "cell_type": "markdown", "id": "de4592a7", "metadata": { "id": "de4592a7" }, "source": [ "## 2.2. Creating a ligand network\n", "\n", "A `LigandNetwork` is a set of `SmallMoleculeComponent`s that are connected by `AtomMapping`s of two small molecules. \n", "\n", "The user can choose between multiple different network topologies:\n", "* Minimial spanning tree (MST)\n", "* LOMAP network\n", "* Radial (star) network\n", "* Loading in networks from external software (FEP+ or Orion)\n", "* Loading in a user-defined network\n", "\n", "In this section, we will create and visualize the MST, LOMAP, and radial networks for the TYK2 dataset.\n", "\n", "Here, we will be using the `LomapAtomMapper` as the atom mapper for all networks." ] }, { "cell_type": "code", "execution_count": 13, "id": "5b89da93", "metadata": { "id": "5b89da93", "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:\tTrying to remove edge 0-2 with similarity 0.818731\n", "INFO:\tChecking edge deletion on distance-to-actives 0 vs 0\n", "INFO:\tRemoved edge 0-2\n", "INFO:\tTrying to remove edge 2-6 with similarity 0.860708\n", "INFO:\tRejecting edge deletion on cycle covering\n", "INFO:\tTrying to remove edge 0-1 with similarity 0.904837\n", "INFO:\tRejecting edge deletion on cycle covering\n", "INFO:\tTrying to remove edge 0-6 with similarity 0.904837\n", "INFO:\tRejecting edge deletion on cycle covering\n", "INFO:\tTrying to remove edge 1-2 with similarity 0.904837\n", "INFO:\tRejecting edge deletion on cycle covering\n", "INFO:\tTrying to remove edge 1-6 with similarity 0.951229\n", "INFO:\tChecking edge deletion on distance-to-actives 0 vs 0\n", "INFO:\tRemoved edge 1-6\n", "INFO:\tTrying to remove edge 8-3 with similarity 0.904837\n", "INFO:\tChecking edge deletion on distance-to-actives 0 vs 0\n", "INFO:\tRemoved edge 8-3\n", "INFO:\tTrying to remove edge 9-3 with similarity 0.904837\n", "INFO:\tRejecting edge deletion on cycle covering\n", "INFO:\tTrying to remove edge 3-7 with similarity 0.904837\n", "INFO:\tRejecting edge deletion on cycle covering\n", "INFO:\tTrying to remove edge 8-7 with similarity 0.951229\n", "INFO:\tRejecting edge deletion on cycle covering\n", "INFO:\tTrying to remove edge 8-9 with similarity 0.951229\n", "INFO:\tRejecting edge deletion on cycle covering\n", "INFO:\tTrying to remove edge 9-7 with similarity 0.951229\n", "INFO:\tChecking edge deletion on distance-to-actives 0 vs 0\n", "INFO:\tRemoved edge 9-7\n" ] } ], "source": [ "# Create network from the two molecules\n", "import openfe\n", "from openfe.setup.ligand_network_planning import generate_radial_network\n", "from openfe.setup.ligand_network_planning import generate_minimal_spanning_network\n", "from openfe.setup.ligand_network_planning import generate_lomap_network\n", "from openfe.setup import LomapAtomMapper\n", "\n", "# Create an MST network\n", "mst_network = generate_minimal_spanning_network(\n", " ligands=ligand_mols,\n", " scorer=openfe.lomap_scorers.default_lomap_score,\n", " mappers=[LomapAtomMapper(),])\n", "\n", "# Create a LOMAP network\n", "lomap_network = generate_lomap_network(\n", " molecules=ligand_mols,\n", " scorer=openfe.lomap_scorers.default_lomap_score,\n", " mappers=[LomapAtomMapper(),])\n", "\n", "# Create a radial, choosing the first ligand as central ligand\n", "radial_network = generate_radial_network(\n", " ligands=ligand_mols[1:],\n", " central_ligand=ligand_mols[0],\n", " mappers=[LomapAtomMapper(),])" ] }, { "cell_type": "markdown", "id": "41cd9718-0c2e-4b59-86ee-8dc429915de1", "metadata": {}, "source": [ "We can plot out the different networks to visualize their structure and to see how ligands are being tranformed." ] }, { "cell_type": "code", "execution_count": 14, "id": "f4e3ac10-236b-4ff4-a69e-600706288164", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Visualize the MST network\n", "from openfe.utils.atommapping_network_plotting import plot_atommapping_network\n", "\n", "plot_atommapping_network(mst_network)" ] }, { "cell_type": "code", "execution_count": 15, "id": "3335c478-ce7c-41a4-b36f-2e4c79581050", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Visualize the LOMAP network\n", "from openfe.utils.atommapping_network_plotting import plot_atommapping_network\n", "\n", "plot_atommapping_network(lomap_network)" ] }, { "cell_type": "code", "execution_count": 16, "id": "e1c09036-efc7-4bc4-9851-ac16992bf041", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Visualize the radial network\n", "from openfe.utils.atommapping_network_plotting import plot_atommapping_network\n", "\n", "plot_atommapping_network(radial_network)" ] }, { "cell_type": "markdown", "id": "2a280ffb-0a71-48ad-b4ec-9374f4460c80", "metadata": {}, "source": [ "Edges along the network can be accessed to recover the individual molecules involved in a given alchemical tranformation and the atom mapping between the two ligands. \n", "\n", "**Note: as can be seen in the example below, transformations are defined within OpenFE as going from componentA to componentB**" ] }, { "cell_type": "code", "execution_count": 17, "id": "ad80c243-82d7-4599-a4a6-5d651c662f24", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "molecule A smiles: CCC(=O)Nc1cc(NC(=O)c2c(Cl)cccc2Cl)ccn1\n", "molecule B smiles: CC(C)C(=O)Nc1cc(NC(=O)c2c(Cl)cccc2Cl)ccn1\n", "map between molecule A and B: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7, 8: 8, 9: 9, 10: 10, 11: 11, 12: 12, 13: 13, 14: 14, 15: 15, 16: 16, 17: 17, 18: 18, 19: 19, 20: 20, 21: 21, 22: 22, 23: 23, 24: 24, 25: 30, 26: 25, 27: 26, 28: 29, 29: 27, 30: 28, 31: 34, 32: 35, 33: 36, 34: 37}\n" ] } ], "source": [ "mst_edges = [edge for edge in mst_network.edges]\n", "\n", "# Pick an edge\n", "edge = mst_edges[1]\n", "\n", "# Print the smiles of the molecules and the mapping\n", "print(\"molecule A smiles: \", edge.componentA.smiles)\n", "print(\"molecule B smiles: \", edge.componentB.smiles)\n", "print(\"map between molecule A and B: \", edge.componentA_to_componentB)" ] }, { "cell_type": "code", "execution_count": 18, "id": "9f92262f", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 317 }, "id": "9f92262f", "outputId": "d8dc47c7-c487-4f78-9e19-c388ef6a7c51" }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# We can display the atom mapping of an edge by calling it\n", "edge" ] }, { "cell_type": "code", "execution_count": 19, "id": "66dd7d32", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 317 }, "id": "66dd7d32", "outputId": "13a421f2-ce17-49c6-aac0-e3c157d59a91" }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlgAAAEsCAIAAACQX1rBAAAABmJLR0QA/wD/AP+gvaeTAAAgAElEQVR4nOydeViM6/vA75lpT5KltFCyRDiWsmaXcyzZTyGFY+ngkF0ch7KPhKQosmQXQkqdCqWFoiQptDfVtGlVTbO9vz+e4/3NN0k1W8vzuVyumWnmue93lvd+n3ulEAQBGAwGg8G0V6jSVgCDwWAwGGmCDSEGg8Fg2jXYEGIwGAymXYMNIQaDwWDaNdgQYjAYDKZdgw0hBoPBYNo12BBiMBgMpl2DDSEGg8Fg2jXYEGIwGAymXYMNIQaDwWDaNdgQYjAYDKZdgw0hBoPBYNo12BBiMBgMpl2DDSEGg8Fg2jXYEGIwGAymXYMNIQaDwWDaNdgQYjAYDKZdgw0hBoPBYNo12BBiMBgMpl2DDSEGg8Fg2jXYEGIwGAymXYMNIQaDwWDaNdgQYjAYDKZdgw0hBoPBYNo12BBiMBgMpl2DDSEGg8Fg2jXYEGIwGAymXYMNIQaDwWDaNdgQYjAYDKZdgw0hBoPBYNo12BBiMBgMpl2DDSEGg8Fg2jXYEGIwGAymXYMNIQaDwWDaNdgQYjAYDKZdgw0hBoPBYNo12BBiMBgMpl2DDSEGg8Fg2jXYEGIwGAymXYMNIQaDwWDaNdgQYjAYDKZdgw0hBoPBYNo12BBiMBgMpl2DDSEGg8Fg2jXYEGIwGAymXYMNIQaDwWDaNdgQYjAYDKZdgw0hBoPBYNo12BBiMBgMpl2DDSEGg8Fg2jXYEGIwGAymXYMNIQaDwWDaNdgQYjAYDKZdgw0hBoPBYNo12BBiMBgMpl3TNg3h/fv33dzcampq2Gz29u3bpa0OBoPBYFoubdMQTp48ubS0tKKiwtPTU15eXtrqYDAYDKbl0jYNoZKSUpcuXT5+/BgVFZWSkpKamiptjTAYDAbTQpGRtgJi4f79+zU1NcOHD79+/bqfn1+fPn2krREGg8FgWigUgiCkrQMGg8FgMFKjbbpGMRgMBoNpJG3QEB44cIC87ePjk5iYKEVlMBgMBtPCaYOG8OzZs+Tt4ODglJQUKSqDwWAwmBZOGzSEGAwGg8E0nraZNTpz5kx048OHD7/++qt0lcFgMBhMS6ZtGsK7d++iG5s3b5auJhgMBoNp4bRNQ6isrIxuyMi0zQPEYDAYjKjAMUIMBoPBtGvaYEE9g8Gora3t1q2bqqpqSUmJgoKCkpKStJXCSIKKigo5OTkFBYXi4uLOnTtTqfg6D4PB/Jw2aAgBQFtbOy8vLysrq2fPntLWBSMhKioqHjx48O7du7Fjx7LZ7JycnJ07d0pbKQwG0wpog5fMtbW1+fn5srKy2tra0tYFIzk6duxoZWXVsWNHRUXFkpKSzMxMaWuEwWBaB20wlyQrK4vP5+vp6dFoNGnrgpEclZWVhw8ftrCw6NOnT8+ePb9+/SptjTAYTOugDe4IMzIyAKBXr17SVgQjUTgcjqmpaVlZGUEQFRUVO3bskLZGGAymddAGd4TIJ6anpydlPTCSpXPnzqampui2iYmJdJXBYDCtiDa4I8SGsJ2TlJR079498q5gE3ZMS+P58+fV1dX5+fnXr1+vrq6WtjqYdgo2hJi2RlpaWlBQEHn33LlzUlQG0wDl5eWxsbFFRUVubm6zZs06ffq0tDXCtFNEYAhfvnwZFRUl/DqiAscIMZhWgaqqqr6+PgDIyMioqamx2Wxpa4RppwgbIywoKHj16hWFQtHX1+/evbtIdBISvCPEBAYGzpo1C93m8/nSVQbzI7hc7ps3b3g8Xo8ePVxdXUeMGCFtjTDtFGENIZPJ1NfXp1KpTCazJRjCmpqawsJCeXl5TU1NaeuCaRrXrl17+/btjh079u7dO3369N9//73ZS5mamrq4uKDbffv2FZGCGBEjIyNz5MgRaWuBwQjtGh0wYMDLly8jIyMNDQ0BIC8vLzk5Gf2Jz+eHhoYKuX5TycjIIAhCV1cXt9dqdVhbWw8YMIDL5ero6BQVFQmzlIyMTIdviEo9TLslOjoaANLS0p4/fy5tXTBiQVhrIS8vT6fT6XS6vLw8AISGhl64cAH9qba29o8//hBWwSaC/aKtl8DAQF1d3W7duq1ZsyY3Nxe7NNsVwcHBkydPnjRp0uTJk1uUvcnJyblx4wYAFBQUpKWlJSUlSVsjKZOSkvLs2TMAiImJ+fDhg7TVEQ1trY4QG8LWS15eHpfLNTAwiIt7O2TcjGdJJR0VZYbrqcrQKE1ax9TUdOzYseg2n88/duwYi8VSUFAQg8oY0ZCRkWFra/vs2TNNTc3s7OypU6c+f/5cR0dH2noBAOjo6KDzydixY0NDQ3V1daWtkZQpLi5OT0/n8/kpKSkFBQV9+vRBu6BWjegNYWxsrJOTEwBwuVyRL/5TsCFsvaxcuRIAAt8VbXzasaKmikKJAwAKBRwX97eZ2oTm6YqKioqKiui2ubm5j48PQRDLly8Xh84YkeDj42NlZYXi+j179rSwsHj06NFff/0lbb0AAEpLS9+9e/f69WtPT8+BAwdWVlaS407bJ2PGjHn+/Pn8+fPfvn2bmppaVVWFDWE9qKmpGRgYAIBUkqFR7QQ2hK2UW1G5q8+/r/4cDL2m/vdQbsyWi+WZxawji/o1Y8HZs2f7+Pi4uLhgQ9iSyc/PRycNhKamZn5+vhT1EURNTc3LywsAcFIrYvXq1UOGDGGz2VpaWlVVVZ07d5a2RiJA9Bkl+vr6s2fPnj179syZM9EjLBZL5FIEeffu3fnz569evQrfdoS4iLA1UlzJXuOZWF1bCwnX/v/RFP/q0vzTgRmxGeXNWHPJkiXq6upxcXExMTEiUxQjanr06JGVlUXezcjIkKIHksFgCDZh2Lt3L4/Hk5YyLRBPT8+NGzdqamqam5s7ODhIWx3RIPbUyufPn+vr64eEhIhPxJAhQ1auXJmTkwPYNdqauRXF/NFwTBaXf+bfrPr/1iDy8vIoY8vNzU0Y3X5KTEzMp0+fAODp06cMBkOsstoeixYtunPnDnoDP3z44Ovru2DBAmkpU1hY6OfnR9718vLChrBe5OTkpK2CyBCxIRw9evTixYvRbTk5OUdHx3PnzjGZzBkzZtDpdDENAWaxWK6urjY2NpWVlcXFxYqKihoaGuIQhBEr0aml1WweAAD7K7w599+/8mwA4POJ1xllzVt2/fr1NBrtzp07hYWFItRWEDabTaPRLl68GBAQwOVyxW102x4aGhq3b9/evn375MmT//77bx8fn06dOvn7+0slzwDTAGlpaWTMq7i4WMgyp5aDiA2hvr7+yJEj0W0ajWZubn7r1i17e3s+n7979+7Zs2eXlJSIViIAvHv3rkuXLrGxsSdPngSATp064cz71oiszLdvo4wi9Jnx3z+lbv89Rm1a7ihJz549Z82aVVtbe/HiReGVPHPmDFmqn5mZOW3aNACQk5NTUFBgs9mZmZnDhw9XUlISXlB7Y/jw4Y8fP37+/PnDhw8HDx48b948MzMzb29vqSgTHR09+Rviu35qjSxfvjw7Oxvdvnr16pUrV6SqjsgQu2uURqM5ODgEBQVpaGj4+/sPHTpU5I1Ju3bt+uHDh6VLlzo4OKioqDCZTFNT05YTbMc0kokDOneQlwEAoNKgk95//2QVAUCWRpk0oEuzV0b5h+7u7sLvMNhsNnlFzOfz0cCEmpqaqKgogiBMTEwuXLggJs9He8DR0bFPnz5FRUWzZ88GgGPHjknlzRw1atTTb6irq0teAYyEkVD7lalTp75582bs2LEMBmPixIki+X7z+fwnT57MmjWrX79+x44d+/Lly+jRozdt2qSlpRUaGvrLL78EBweLRPmmkpKSkpeXJxXRrRqL0ZrycvVv+ygUiu1ves1eedq0aQYGBtnZ2YKxn2ZTXl7OYDAYDAaTyUSPKCoqrlix4tSpU7/88suOHTvs7e2Fl9I+iYyMTE9Pd3V1XbZsmaamZkJCgljTCxqA+g2pSG/J+Pv73759+/bt2/Hx8dLWRWRI7mPW0dEJCwuzs7Pj8Xi7du2aP39+WVkzoz7l5eXnz58fNGjQrFmznjx5Iisra25uHhkZ+fLly4MHD8bHx//6669FRUUzZsxwcHCQgJuUwWAsXbp09OjR06dPf/369bVr11DnBUyTUJKjPdxi3EFRnjrO7v8fNbQAWcVuKnK9NZrvb6RQKOvWrQOhU2bQhvLJkye7d+/evXv38ePHyT/Jysqik6asrKwwIto5O3bsAABXV1cOh7Nx40YAEHyTMS2B8vLy0tLS0tLSNjU/kpA4jx49UlNTAwBdXd3o6OgmvTY5OdnW1pYsaNXW1ra3ty8qKiKfEB0dnZKSwufz6XQ6OjFNmTIlPz9f1Afx/3C53MGDB9+7d48giMzMzIcPH+7du/fatWvik9i2ScqpnHIoWsb6CVj6w9jtQJODvjPB0j/8Y4kwy1ZUVKioqABAYmJiU1/L4/GCg4PNzMysrKycnJyOHz+OHk9LSxs7dqwwWrVMPn/+HBkZKS3pqCvQ6dOny8vLVVVVASA2NlZi0i9fvvz69evS0lLyEcHTC8bExCQlJQXdPnHihKOjo3T1ERVS2PjPmTPn7du3I0eOzMrKmjhxYmOmcbLZ7Lt3706bNm3AgAEuLi7V1dWmpqbe3t6ZmZkODg5du3ZFTysqKlqwYMHw4cO9vb3t7OyCg4M1NDSePXtmbGwcGRkppsOJj49XUVFZuHAhAOjq6s6dO1dMgtoJA7Q7PN0zssLz1196qEDnPsDjQMZTYH91C25O+QSJiorK0qVLAcDDw6PxryosLDxy5Iient60adP8/PwCAgI4HI4warQKPDw83r17h+qRJM/27dsB4NSpU0pKSqtWrQIA1KlKAsTFxf3555/jxo0rL///olXy9IJpy0jLArNYLFtbW6SDlZVVZWVlvU9jMpl0Op3sOtixY0cbG5sPHz7U++SKiopFixahZ9rY2NTW1jIYDBMTEwCQkZFByauiPYovX748fvx48eLFgg/iHaFIuBzGAEt/6D4UAMDIRtb6SU5JjTALfvjwgUKhqKiolJeX//TJb968sbGxIVu19e3bl06nf/ny5d69e2j3TxAEk8ncsmWLMCq1THbu3Llhw4aCggKpSOfz+QMGDACAmzdvMhgMOTk5Go2Wmpoqbrk1NTWDBg0CAFtbW3HLar1cvny5pOQ/3wwayS5dfUSF1Awh4vr162hQjoGBQUJCguCf3rx5Y21tTUZc+vfv7+zs/PXr15+u6eHhgSo9jY2N09PTORyOvb09cpPOmTOH/BSFgcVieXt7jxkzZujQoa9fvx4/frzgX9uqIeTz+T4+Pu/fv6+oqLh7925hYaFYxbHYPPW1wTD+HwAAFS1Y4udw/7OQa06cOBEA3NzcfiiUxfL29iZ7dlOpVFNTU19fX5FfQrVYuFzuxo0bDx8+nJSUJC0dzp8/DwBDhgzh8/nLli0DgI0bN4pbKIoiGxoaVldXi1tWq4ZOp0+YMMHPz0/aiogSKRtCgiA+fvw4ePBgAFBUVPT09KypqfHy8vrll1/QmYhGo5mZmQUHBzfpTPTmzRt9fX0AUFVVvX//PkEQvr6+KDDZs2fPV69eNVvbtLS07du3k+311NXVMzMzBwwY8O+//xIEwePxioqK2qohLC4uzs7O/vvvvz9//lxSUnLgwAFxS7S79RGWPAZlDQCAyQc114ewuUIZJFSXNmDAgO+/Tjk5Ofb29qQfrFOnTra2tmi8ZXuDx+PV1tZKUQEWi4UacAcFBb1//55CoSgpKYk1VhcQEEChUOTl5ePj48UnpW2AWqbcuHFD2oqIEukbQoIgvn79am1tjU5ApDNKU1PT3t4+Nze3eWuWlZWhuB2FQrG1tWWz2VlZWaNHjwYAeXl5Z2fnOs+vqKhoYLvJ5/ODg4PNzc1pNBpSz8jIyMPDA108fv78efbs2SYmJiYmJtevXz916tTDhw+bp3YLh8FgnD17liCIGzduXL16VdzisoqraVZPYMhyAACdUWDpf+dlnjALcjgc5GZ/9uwZ+WB4eLi5ubmMjIzgJ1tVVSW0+m0BaTlIDx8+DADTpk0jCAJ1Ld6/f7+YZBUWFnbv3h0ATpw4ISYRbYlJkyYBQEhIiLQVESXSN4RxcXEODg4EQVy6dAmNFDcyMvLy8mKz2UKuzOfznZ2dkXN1woQJubm5goHJBQsWlJWVoWfyeLzbt29v2LCBw+HUWaS8vNzDw8PQ0BC9Sl5e3tzcPCIiQkjdWiOfPn367bffrly5EhMTc+HCBXd3dwkIneP0BhbeApocUCgw59KEAy+FXHD//v0AsHDhQvTJDhw4EH2ycnJy5ubmwcHBIlG79RIZGblu3brly5ffvXu3trbWwMBAKmqUlZWRKaNoTm+XLl0aExlpKnw+38zMDABMTU15PJ7I1297oAhuM7KvWzLSN4QEQZw8eZIgiLS0NADQ0dER7eIvXrzQ0tICgG7duiEHpo+PD/qN9evX7927d+hpaWlpa9asEfSY1SnV0NLSsre3bzgwVlZWxmKxCIIoLCxsjC83Ly9v1apVXC735s2bu3fvzs7OFupQ2yL/JhSBpf9/U5kMfwdL/3dZFcIsyGQyUc0f2QhNV1f36NGj4g55tgqeP39uaGgYGRn5+fPnbdu2MZlMaRlCgiC2bt0KAEuWLCEIAvlyGgjuNkBERMTJkyeLioq2b99OXvuSnDlzBgDU1NTwr6+RoBhTcXGxtBURJS3IEKIWEhMnTiQIIiIiIiYmRlRR68LCwt9++w25SVFF/6dPn1AYUkFB4fz581wuNygoaM+ePWVlZVwu19fX19TUlEL5r8uJiYmJt7f395vFOrBYrJs3b9ra2n78+NHX17eRnhwXFxe08p07d6SYntBi4fMJg22h8NspAAB5FVj04M+L75u3FPnJohBg4z/Z9sOCBQsEvfpS3BESBCGYMoqCu7169Wreh4XOMFeuXKlz+k5KSkKxmDt37ohG6bYOi8WiUCiysrJtbPcs/QZCaWlpKioqaWlpghOU1q1bN3LkyI8fP4pERLdu3QICAlCJ/bFjx0xNTTt27BgdHW1ra8tisWxsbP744w8tLa25c+e6u7v36tVrzpw5ISEhKioqNjY2iYmJERERgjGkHyEvL4+yfgwMDHg8HrpuaiQvX76kUCjI59Aq8Pb2nj59+sSJEzdu3NjsDkGNgUKBdaa60KUfdOkHtZWQ9eJaeG7J16YV8+Xn5x84cKBnz57ok1VWVi4rK+vcufPTp08b88m2H9LT01vOl1BHR2fx4sU8Hs/FxWXBggV9+/bNyMh48OCBqNavra21tLSsqalZtWqVhYWFqJZt26CYsYaGRltrPidtS/z//PPPPwBgb29PEARqAiLY30EkPHv2DEXFtbW1UZzv0qVLyEWmoaFBlmoMHjzY3d39R6WNP6Kqqio0NHTLli3Jyclv377du3fvT19SUVFx7dq1qKioW7dueXt7MxiMZh6YZPH19Z04ceKXL1/4fL6np+fkyZPFKq6ihtNx1b8weisAgFpvsPQ/FZDeyNeickAFBQX0yfbr149Op5eWlhoZGQHA9evXxap5q2Py5MkxMTHkXenuCAmCEEwZPXv2LAAYGxs3dZHXr187OjomJSU5OTn5+vqSj6PKfX19/YoKoZzt7Yro6GgAMDIykrYiIqYFGUIrKysAuHz5MppxpaqqKg4pOTk548aNg28l9jweLykpSUdHR09Pj0qlNqNUQ5DExMScnBwulxsdHd2Gf11z5sx5/vw5eXfIkCHirndee/E9LH4ICp0AAH472WfLc16DnxGLxfLy8ho6dCiyf99/shcuXACAMWPGiFXtVsfRo0dtbGzQbT6fjwwhm82WotN+xowZALB///6amhp0FSuY8dtsOBzO5MmTZWRkhCmmaoc8evQIAGbNmiVtRURMCzKEqAVMaGjo69evAWDo0KFiEsThcHbs2IGuNNPT0wmCQM23nJycxCSxBeLj43Pt2rWPHz+eOnXq7t27TXrt8OHD0fuGmDdvnqBdFAcfciopS/3B0BwAoNcUsPQPfFd/bktqaqqdnV2XLv/NbFJXV7ezs8vMzKzztOrqalQM+vr1a7Fq3rqorq62tLQcNWqUubn5mDFjysrK9PX1dXR0evToIXwWd/NA/eu7detWXV2Nat5nzJjRvKXCwsI+f/6vJ0N8fHxWVlYLSf9ms9knTpx49+7ds2fP3Nzc4uLipK3RD0G9DlatWiVtRURMC/LzkjFCwWChOJCRkXF0dHz48KGnp2evXr0AALVVJDcQkuHw4cMvXrxAt6OiolBav8SYP39+YWHhq1evRo0ahdLTG0/37t0Fxz0ymUyUl3vhwoWYmBiRqFddXe3i4oJmEQQGBroe3jmhf2foOwsoVMh6AayyOq1H+Xx+SEiIhYWFgYEBmsmFygEzMzPpdLqurm6d9dHgJAA4d+6cSBRuGygqKt64cSM0NNTFxSUqKkpVVTUhIUFVVZXBYNy+fVsqKk2ePHn06NFFRUUGBgbowwoICFBTUxs4cOC0adOWLVu2adOmY8eOXb169fHjx7GxsXl5ecQPRrwdOnTo999/R91ir169Gh0djS6+pY6srOzkyZNLSkoiIiIWLFggrXHEjQH98NHWvC3RUtIE2Gw2k8mUkZHR1tYmM8TEKnHOnDnk7YyMDAlIrENWVhZKrgGA8vJyZP4ljLW1dVRUVFMnqi9atOjEiRO3b9+WkZF59uwZj8fr27fv69ev169fT6VSnZyc0AAdYVBSUrK1tbW3t6+oqEhNTe3bt+/ksbphySWgPRJyXkHav/6KaumF1frqSuXl5Xfu3HF2dk5OTgYAeXn5BQsWbNmyZcyYMYILenp6ZmRkLF++PDQ0ND4+/uzZs+vXr3d2dr5165ajoyO5g8QAgIKCAnmmU1ZW3rZt28qVK48fP25lZUWmUkuSrVu3WlhYMBgMpE9VVVVZWVlZWVlSUlK9z1dQUFBXV9fS0lJXV+/evXv37t3V1dVRAYaRkdHJkyft7OzqfaHUWb9+fUREBNlUpKnExMTExcX169evurq6oKDAxMSkf//+AGBhYUEa16NHj06fPn3YsGHNE1FQUAAAGhoazXt5i6WlGMKsrCw+n6+rqysjI5OVlQUA31/FiwkOh5Obm0uj0Xr06CEZiS2BiIgIOTm5zMzM5OTk1atXN+m1VlZWOTk5EydOpNFoqqqq3t7eFApl2LBh27Ztc3R0tLW1ffbs2eXLl1GJQvPg8Xienp5WVlZv377l8/kvX748v3K1TmeFnH5mkPMKUgL4hr8fuPivfGbgjRs3qqqqAEBbW3v16tUbNmyod1zA6tWrPTw8VFVVrays0IjK3r17//bbbwEBAZcuXUJbT0y9WFlZ2dvbv3//PjAwEEXsJMywYcNkZWU5HM7x48dnzpxJpVI7duxYWlrKZDLz8vLIG+Td/Pz87Ozs7OxswUV2794NANu2bVu0aBHZmr/lgAbSqamp5efnIw/w94SFhWVlZVlZWT18+FBVVXXq1Kl1nmBsbGxkZESn0+Xk5GRkZEpLS9HjpOcJABITE0eOHNlsPdGOsO0ZwpYSI/z3338BYMqUKcS3jkqPHj2SjGhUyN+zZ0/JiCNZs2bNwIEDJ0yYMGHChMGDB69YsULCCogKHo+3ZMkS1Kzg4cOHyP717dtXmLaNxcXF3t7e3t7eqFzp06dPBEEc8EkBSz/oqAMA0PG/qxYqlTp9+vTHjx83XNj04sWLBw8eEASBsrHQg2hgva6uLpfLbbaq7QFHR0cAEHd6cL1wOBy0uV+4cCGTyXRyctq7d2/DFcZVVVXp6emRkZEPHjw4e/asvb392rVrfX19p02blpqa+vjx47lz527dutXb21tiRyESMjIyvL294+LisrKydu3a9f0TOBzO6dOn8/LyDhw4kJCQgLohEgShoaFBPsfS0lKY7mgo0zAsLKzZK7RMWoohRFPiVq5cSRAE6mdG9nwRN0+fPgWACRMmSEYcyZo1a0hj/+TJk9ZrCL28vJBB2rdvH5fLzczMRJecCgoK3/d0FYb3n7NljFaCnDJNThF+NpNLED6ff+rUKQ8PDyaTKTgLms/n9+vXDwAeP34sQj3bHuXl5ej65uVLYVvcNRUHBwcA0NbW/vLlS01NzcGDB1euXNm8FsTIEBIEMWfOnGHDhknXEOro6JD5R7a2to2p6GexWIcOHeJwOElJSfUaQn9/fw8Pj6ioqMePH587dw5dPhIEoaKiMuEb6urqISEhR48evXr1KvmExtOnTx8AaMYLWzgtxRAixwUaaIC6mn3fDElMeHp6AsDy5cslI45EWoawuLh4x44d5N0dO3YI2S0J9XRFZemTJk3Ky8urqakRHDYpfIvI58+fC1a+o9bnghVvzQYNfZ0+fbrwS7Vtdu7cCQDm5uaSFPr69WvUD+/p06cEQfD5/AcPHuzatat5BU6kIczKylJWVm51hnDFihXOzs6fPn06e/Ys6s/cSOrsCP39/cmfUseOHU1MTOzs7Hx9fRtzHkBT8xo+OQs2q2MymdKdZNJIWoohXLJkCQBcvXoVBWM7d+4sMdGChfySZPfu3aSPIjQ0VNA4iRUGgyFYlWxsbCySQv7Q0FA0OkddXR21rr527Rq6punfv//7983pi/ajmVwoiLJhwwbh1S4tLVVWVqZQKG3vIle0MJlMBQUFGo2WkpIiGYlfv35F+/WdO3eSD5aVlTW7zDcsLIzskhERESFd/56Ojk58fHxiYmJiYqKVlZVYe7zVMYS+vr7Hjh2bN28e+sGSUKnUAQMG/PHHH+7u7vHx8d/HC75+/Yo8PQ3IYrFYurq65N0ZM2bExsaK9GjEQksxhCinKzw8/NWrVyDZzgVkIb/EJJK8ePHixo0b31e5iRUxGUKCIAoKCqZNm4YsFmpWkJycTA6bvHjxYuOXSklJsbOzI+c+du/e3c7OjrzSbNKs+Z+yatUqAGiTs+ZFy5zeDBgAACAASURBVMqVKwFg/fr1khGH6luGDRsm8i3Fly9fDA0NO3fu3NTuUSJER0fnzz//XLdu3bp16wYPHtwMQxgQEODo6Hj16tWfHkXfvn3J26tXrw4NDSXv5ubm+vr62tvbm5qa1slWVVZWNjExsbW19fLyQoM5U1NTAUBPT68BWQ0YwsuXLx8/fpzBYHh7ex8/frypxytWWoohROnaZLnSwoULJSYahX/FXRJeL8uXLwcAT09PSQplMBiCMQMVFRURtnbjcrn29vaoD+GsWbO+fPlSXV2NLA0AWFtbNzznj8fjBQcHm5mZkWn6P5rJhYaiubq6Cq/z27dvAaBTp07imPLTlvj48SOVSlVQUGAymeKW5ePjgzYfCQkJ4lgfVRCeOnVKHIs3hma4RgVZuXLlypUr/fz8HB0df/nlF5F0o2Sz2dHR0S4uLkuXLu3du3edtEpdXV3UsF5fX9/Z2ZlOpx88eNDOzm7Hjh02NjY2NjaLFi0yNzdPTk5WV1d//A1jY2PSELLZ7LNnzxYWFrLZbJH8ckVIizCE1dXVFApFTk6Ox+PR6XQA2LZtm8Ska2trA4CEt2WICRMmAACKf0gM8e0ISUJCQlCCdY8ePSIjIwmC8PLyQtWKw4YNq9e3Vlpa6uzsTJZyKigoWFtbN5B3evfuXfjBrPlmMHbsWAA4f/688Eu1bWbPng0A+/btE6uUnJwcVNlJ5j2KnIcPHwKAoDWSMMIYwnfv3o0YMYK86+DgcPjwYRHrRxBlZWXBwcH29vZmZmakbwbFCBsgLCxMTU3N8Rv9+/cnDeGnT58uXLhAEMStW7da2tCrFmEIUSl0nz59CIJYu3YtAJw5c0Yyomtra6lUqoyMjFRm8fTs2RMA0tLSJClUAoYQSUHWRUZGhk6n8/n8t2/fopSzjh07CuYpoL7YZFF/79696XT6T+P25Kx5kVxG3LhxAwAGDRok/FJtG1SRJlanIo/HQxVy06dPF8lVTr3w+XyUnS75xus8Ho/NZq9du5YMwl2+fDkqKqrxK1y/fl0wQP7vv/8uWrRIxFr+LzweLzExEbWiHDBggK2trZ2d3Z49e+h0+rFjxzw8PDw8PNDkgJycnHpdoxwOZ/PmzR4eHkVFRYKtz1sILcIQPnnyBACmTZtGEAQaHCixdPbPnz8DQK9evSQjThA2m02j0Wg0moSvSXNyckaNGkXeHTVqVE5OjjgEcTgcOzs75OScO3duaWlpRUUFOe9m9erVN2/eRM4WAKBSqaampt7e3o0v6Ttw4AAALFiwQHhV2Ww26hL34sUL4Vdr26Drm9OnT4tp/ePHjwNAt27dxO2AReniv/zyi/jMbb04OTkZGxt//Pix2SvcvXuX7I1OEISvr69kcs737dsHP8srxMkyzQcNWFmzZg1BEAYGBgCQmJgoGdFBQUEgpUphaRXyEwTB5XL9/PwkM1Lg0aNHaDSjrq5udHQ0n8+3s7MTHGbWuXPnHTt2NGNbXFhYKC8vT6PRROLW3rt3LwBs3rxZ+KXaNih6p6enJw4nyvv37xUUFCgUigQ2DSwWC139BAYGilsWSWJiovAHmJmZ2b9/f/ICev369ZLx6tvY2PzUX83lco8ePUrevXjxYr1Fn8+ePXN3d09LS3N3dxdJHZSQtAhDiEqUDh8+zOfz0eg4iWVzCRbyS5iQkBAAmDhxouRFo76m2traEhNHltifPHkSnX1QvNDDw6Ph9JmGsbS0BIA9e/YIr2Rubu69e/fIzcGXL1/w5Pp64fP5aHjvzZs3RbtyTU0NyjGWWGLq0aNHAWDq1KmSEcdisVAtkPAH6OTkNH78+GPHji1btmzmzJnIKIo70WHu3LkA4OPjQxBEbW1tQEBAYWEhh8Px8/NrqleJxWJdvHgxIiIiPT0dLShdWoQhRO6yGzdu5OXlIa+IxESjQv79+/dLTCKJtAr5CYIIDQ0FABMTE4lJZLFYZIk9ANBoNJEUTkVGRqIvTE1NjZBLff36tXfv3uTdadOmiSlfsQ2AZvEMGTJEeKeioIdww4YNKAQlzLVRkygvL1dVVYVvrT7FDWpGL6oDzMrKevz4cVxcHJ/PZ7PZ5ubmSkpKqM5BTIwaNQoAUDjz06dP6enp+/bto9PpaWlpTc245vF4z549u3XrVkZGRkswhC1iDBMZqNPU1KyoqIiKipKYaLQ3kvDcCUHR4ps21QASmLaBipxiY2OvXLnyzz//sNns06dPX79+HdUqDRs2jAwWCsPYsWONjIyKioru3bsn/GqYn1JeXp6enm5ubq6pqfnu3Tvk1Wg2cXFx27ZtQ7eDgoLc3NxkZWXJBGMJ0LFjxzVr1gDAqVOnxC0rKCjI1dVVhAfYs2dPMzOzX3755fHjx7KysjQarbq6ev369cKv/CMEO26jGRcGBgZMJjM0NLSpo6OCgoI+fPhgbGwcGhr68eNHsajbFKRpCPl8/uPHj6dNm5aUlKSqqnrz5k0ej6eiooJyCyWDFK1R2xY9Y8aMefPmpaSkrFixQl9fv7y8HACWLl1qb28PAH379hWVINRlxs3NTfilampqnn6jpKRE+AXbHleuXCktLZWRkUG7t6NHj3K53OYtxeVynz59ihJEi4uLUbrH4cOHR4wYIUqNf8bmzZvl5OTu3r2LYvaI2trakydPpqWlhYeHe3p6Cn+mJg/w0KFDoj1AU1PTuXPnPn782NnZuVOnTgEBAQ8ePBDh+oIUFhbCN0MYGRl55MgRTU3N/v37c7ncxo+OIlg1XwMfjfz01hKqNXMzl1tZIbecdJHOGKb8/PwLFy54eHjk5uYCgJKSUmVlpaur66dPn65fv66uri4xTaQyiRDRtg1hXl5eYGDg+vXro6OjO3TogEodAIDNZotWtKWlpZ2d3atXr968eWNsbCzMUiwWC/laAaCsrEwU2rU1DAwMoqKiOBzOunXrDhw48PbtW1lZWQUFBS0tLU1NTfS/mpqa4F11dXWys6UgZWVlqqqqISEhZmZm27dvZzKZ48eP37p1q4SPSFtbe8mSJV5eXs7OzmfOnEEPysnJjRo16suXL6NHj87IyGAwGGiwX7NZtWoVOkByBywq5s2bFxoaumHDhg8fPhw6dGjDhg1//fXXlClTkMtXhJSVldXU1KioqKC+iSYmJqgpweTJk9lstpycXGMWqX4VXrhrI5/PJaqqgEKhKilTlTt0d74ob2AoWm2bjIRdsahoDGXEAEC/fv3odHpWVlZwcDDZqVKYKSE/paKi4uzZs2iMS01NDVnITxDEo0ePWCyW+ETXQYqF/BMnTgQAsb7Ply9fdnd3f/PmzeHDh9EVD3octeny8PAQoSx0cvnjjz+EWQTHCBvDixcvHj165O3t7e7uDgAqKiqoAXoDyMjIaGpqDh06dObMmcuXL9+1a5ezs/PNmzdDQ0OTkpIyMzPR3PlOnTplZWVJ5aCSkpKoVKqSklJhYSH5YEREBEpyjo6OFrL3E3qvxHSAXC53+PDhALBz504ej4d6VW7dulXkgtC2WLBbW1OpiX+TNnbATm214IHaqcP1Uofr3ezX3UmvW/q4QewcKdfXS8gQslgsb29v9CHBt6IxX19fPp8fEhJy7ty5d+/eFRQUoKoyGRkZ1KlStDp8/vzZzs4OpfKjb7ZgIf+rV6+WL19eUlIiWqE/oh0W8iOmTJkCAGh4oahITU2lUqny8vKCJ7Kmgg1hY6ioqEhOTk5JSUEdRm7dusXj8ZhM5rt37wIDA728vBwdHbds2bJ06dIpU6YMHDiw3iHJdUBLibXr9E+ZNWsW/G+F3IkTJ9zd3UNCQtzc3ISp5hJ8r0SgaH28fv2aRqPJyMjEx8e/e/dORkaGRqPFxcWJVgrKsBs/fnyzV8iaOyl1uN60Tkp3DTSRITyu13WNhmraiN55tkJdxQqP2A1hWlqanZ0d+XtQV1e3s7MT3Abt2bPn0qVLt2/fJv63U6WZmdmXL1+EV4DL5fr4+EydOpVsXzlp0iS0GUKF/Kampmw2e926dfb29p8/fxZeoiClpaWoq1BAQIDgBIZ2WMiPQF5okb/P6ER27NixZq9QW1srmDzs5uaWl5cnCtXaGhwOBxXDLFu2jCAILpe7f//+8+fP+/r6vnr1Kjs7+3u3SklJSWJiYnBwMPJA2tnZWVtbm5qaGhoadu/eXUVFRV5eXshZYEKCzvKdO3cWbb9ZDoeDMi3ReyU+/vrrLwAYNWoUj8fbtGkTAIwYMUK046ZRF+jff/+9eS9nZ2WkjR1QryFMHa6XNqovv1Zy3rjvEZchRN2Tzc3NSc+JkZGRh4fH96OlXV1dY2NjDx06RD7i5+eHWtv16NGjSZ2H6lBQUECn08lwFGpfieb9VlRUeHh46Onpde/eXVdXNysr682bN0eOHBH5iJnS0lI6nU4QREJCgmAzp3ZbyC8rK0uhUISvdqgDuqYRxm+DaSS7du1C13Bo9AcqeaqDgoKCvr6+iYmJmZmZjY2Nvb29h4eHr69veHh4WlpanSuw6dOng5RKmAQZM2YMiKiNO0md90p8lJeXo1DLhQsXKioqUEhetJ1anZ2dQYjZZ1UvX6RPGIwM4QBFuREdFEZ0UNBXkEWGMH3cQOl6R4UyhKmpqWgnhzh48CBBEOXl5R4eHqiPHwDIy8ubm5ujzsv1wuPxIiIi6lTQZ2dno+8l6lTZVMVQJJJMZOrTpw+dTkf7yw8fPqxfv15FRQX9Cd3Q1NQUHE0iWk6ePEkQRH5+vqAhDAkJGTlypFRG/6CU9wkTJkhetPgK+Xk8nqOjo6h6xVVUVKSnpxMEUVxcLBK3RJshPDycRqNRqVTy91JcXPzPP//88ccfZmZmxsbG2trasrKyDftCKRSKhobGoEGD0OyzZ8+eAUCXLl2kO/0DVeD06tVLVNGK798rsXLr1i20qS0oKEAt6Tt27FhvV5fmgXI70Um+GbAS36VPGPTjHWE/XrmEJrHXi1CGMCQkZOnSpeRdDQ2Ny5cvkyUyvXr1OnbsWLM9HoKdKufNm9eYOSMoEol6IcL/RiJ5PJ6vr6+pqWmd+T65ubl1Rug1T9sfwWQyV69e/eLFCy8vr02bNvH5/Li4uCdPnqC/ZmZmhoeHi1biT2mrhfxTpkxB1osgCGdnZ2Em7Dx8+PDo0aOJiYlbtmzZunWryL8VrZSysjJdXV1oxPSJ6upqVHvg6+vr4eFhb29vY2NjZmZmYmKir69PJpGS2y+UPeDm5ib+g/ghPB4PFW7NnTvX2dn5xo0boaGhHz58aN6VUOPfKxEyc+ZM8qdtZmYGAILnZyFBaW4o0NMM+BxO+viBPzKEWfOl4BsTRMSGMDY2lkKhoO7JIrmwevjwYadOnZDXq4GhPLm5ufb29mQkslOnTra2tqjJAnKQoi8l2gLa2NgI5kEIBianTp2an58vvNoNcPjwYSUlJRQv9PX1lVg3KZJ//vkHftY5V0xcvnwZAKysrMSxuImJSWpqKrrt5OQk5OTPkydPoouYP//8U7SxltbLkiVLAMDY2FjI6DKXy0X5NWQUFpVj9+rVS7pv9dixY9Fg1DrIyclpamoaGhqamppaW1vb2trS6XQvL6/g4ODExMR6d12o+Z/w71WTSElJQY1Mnz59mpmZieocgoODRbI4srLCjEMovXYhZcyAXzsp3ftmCJ30utpoqKabGFZFPBOJks1G2DrCsLCwOXPmoNs1NTXDhw9PT08XYZXY3LlzY2JiLCws4uPjR48eTafTUSiYBDWk8PPz4/P5ADBixIi//vpr0aJFCgoKsbGxR48evXbtWk1NDQD07dt31apVNjY2KHGUhEajOTg4jB8/funSpU+fPjU2Nr5z5w65rRQHy5cv/+uvv9D2SPK04fpFBoOBdvwlJSV1PuUm4ejoqKGhUVZW1qNHDwAoLS1tTPZj2+b69eu3bt1SVla+cePGT52fDUOj0bp37y5ochYsWNC3b9+UlBQfHx9zc3OhlW0O169fj4qKUlRU3Lx5M5/Pz8/PZzKZRUVFeXl5FRUVTCaTyWQmJSXV+1olJSV0ROrq6tra2kwm08fHRyTvVZPo06fP7t277e3t161bl5CQsGfPnr///nv9+vUJCQlkxVqzEWwr0zw6LV0VE/b2OCckpLi0I42qryA7t4sKVV6hk42tkslkIdUTFmGsaEhIiIWFRdk3NDQ0RGWf61BTU0N2qrSyshKMJaAaajk5OXNzc3Tt04CDtGEpDAYDlYiSI/TEcSyHDx++cOHCmjVrPD09pbIjRMf4/PlzCcslCGL58uXwrXZF5JiYmCxcuHDFihUrVqwYMWKEMDvCjIyMtLS0qqoqBoMhwihL6yU7OxtdWFy8eFFMItAIGsFJmZKEPMBLly59/1cWi5Wbm0smvtLpdFtbWzLxFbms6qCmpiYVp0ttbS1qiX7o0CEOh4N6fItEE5SMI+RAXbPjr4dP3QUAXeVkI0cOfWG9nJXUIoqUmmYIvb299+/fT5aFfu8aFaVq33Ht2jW02e/fvz9ZinDv3r2jR4+iArKcnJwfOUgbiWBgcs6cOSIsK+Tz+U+fPv3333+RISwuLjYwMPDy8pK8IWyrhfyidY1iSHg83qRJkwBg/vz54pNSU1OD9ojPnknaS1bnAG/fvt3UptiVlZWfPn0KDw+/e/fumTNnUMmECONzTSIsLIxCoSgqKqampoaHh1MoFHl5+eTkZGHW5PP5KN+78S1HKioq3N3dL168yGAwTp06df/+fYIg1NcGw+itAAA9x4Glf9RnCdVt/5Qm7whPnDhB3pawISQIIjk5edCgQQDQoUOHGzduoAf5fD4q1SCD8D8q1WgkdUboCakzKtVA82UMDQ0PHTqEAs4XLlzo37//+vXrS0tLhakE/ykXL168dOlSYGCgu7u7s7NzWy3kx4ZQTBw8eBAAtLS0xF3qt3//fgCYMWOGWKV8j+AB+vn5USiUoUOH/vQHkpGRgRq4nD9/3tnZWTC3gMFgoC7YUulZQRCEtbU1APz6668EQfzxxx8AMHHiRGFcXEVFRQDQuXPnJr3q/fv3+/fvd3R0rKys3LdvX2p+FVj6Q99ZAADDVslaP6mubSnR96Y13c7IyBDsiD127NgTJ06Qd1+9etWk1ZpB//79Y2JiVq1a9fXr16VLly5ZssTNzW3QoEHTpk27e/cujUYzNzePiIioUz7RVObMmRMfHz9q1KisrKwJEyacPn26eeskJydv2LBBW1v7zz//fP/+PepqiGKZALBy5UpkbleuXDls2DCyy6XIQTPcO3To8P79+9LSUj6f36NHj3rbP4oVDoeTm5tLo9FQ4E3kmJiYIIcBAPTu3bt3797ikNLeiI2NPXDgAIVC8fT07NKli1hlbdiwoUOHDgEBAfHx8WIVJIjgAfL5/NWrVxMEYW1t/dMfiJ6eHirXS01Nzc3NRW6kgoICFxcXHR2dRYsW8Xg8FxcXCRxCcXHxmTNn/vnnn5iYGHd3dw8Pj5MnT3bt2jUoKMjb2/v48eNdunQJCwtD9RXNAwUI680k+hF8Pl9PT4/FYsnJybHZbAqF8iq1DACg+CMAQBeDYXqqinI/6c8nOZpkNiMiIlpIBp2Hh4eCggL5ZdXS0rK3txftvkpwhN7SpUsFKx3ZbPbFixdfvHhR7wtRMwEzM7M6pRoofywjI4Msd8vJyYmJiRk3bhwAyMrKOjk5iSMwyWAwzpw5gyopUTLblClTRC7lp0ixkB/TPL5+/WpgYAAA27Ztk4xE9IsTdx8WEsED5PP5s2fPBoCJEyc2smAGlQjv378/ODg4ICCAx+Oh7PSQkJCEhAQKhaKkpFRUVCTmgyAIguDz+SgQWFpaigqHUINTdXV1MjdNTk7OyMjIzMzM2trazs7O2dnZ29s7PDw8MTGxrOwnNXzBwcEAYDh87POk4g85lV8qf54KW1ZW5uHhcevWrS9fvri6ujqcvae+LhgsfIBCA6oMWPjYen0QxaGLhhYxmLd5oHq4rl27Pnz48NatWyKfl424f/8+6uNuYGBAFl0EBQW9fPnSwcGhzpPr9LLp0KGDjY0N6mXTABwOh6zfmD17dgOBSR6Ph2pIkpKSPnxo7NcoJCTE29u7tLT0yJEjI0eOpFAoRkZGkq+NQ4X8EydOlIAssnONdGu0JUZiYuLbt2/R7a9fv4pq0unq1asBYODAgSLvBPQjMjIyZGRkZGVlJdOAW/AAXV1doSmtsZlMpqOj44sXL+7fv3/+/PmKigrim5f1t99+I751zGl2BXrjYbFYp0+fzs3Nzc3NdXZ2rq2tJQiCx+M1KfW9Y8eO/fv3Hz9+vIWFha2t7aFDhy5duuTn5/fmzZucnJwrV64AAOhOBEt/9E9uWYDm+hDDHWGmR6Ktz8bben2g+6Z6vcgJfl+UyKjMLakhL+l5fP6SM3HKfwSCpT+YHgMA6NwHLP1Nj0hiGHIjoRAE0ZQNZAvi6tWry5cvt7S0vHHjhpOT0/r168U0z/PTp08WFhYJCQmKioouLi6rV6+uqqq6fv16cHAwOQ82Njb2/PnzdUo11qxZg3rFNQY/Pz/U9btnz5537twhG5QLkpycfOXKFTqdHhUV5evre+jQocYkZ7PZ7Hv37rm6ur58+RIAVFVVy8vLp02bJuGJVzdu3LCyslq2bJmXl5dYBYWGhqampsrKypaVlXXt2vW3335rY8UPfn5+eXl5Q4YMQUkZAHDmzJnKysq///4bAHJycubNm/fmzRshpTx8+HD+/Pny8vIxMTEo+VAyWFpa3rp1a+vWrYJhF3Hw6NGjefPmoQOUlZU1Njaurq6+ffv2okWLmr1maWlpz549v379GhcXV1paOnXqVHV19czMzGaHaRpDXl5eZGSknJycnp7e58+ftbS0UGb46dOn0bTFZ8+eDRkyhMlkFhQUFBQUMJnMwsLCOndra2t/LkleBTrpg2JnUFAFxc6g0AkU1P67K98JvjnAEEpytO6d5Lt3ki+v4nzOr+LwCACApHsQfxn6mYHxOiU5musKwz8mNiFQQrBrKx95fw3y434pktXSUTFb2OFXM6CKwr8qbUvcfBwcHABgz549BEE8efJk06ZN4huiVFNTgyZZA4C1tXVhYaGHh8f169ebXapRL1lZWcj+ycvLOzs71/sclKyUkZGxbt26n8bz8/Ly6HQ6OQuwY8eONjY2V65ckczEK0E1UJJqTU1Nenq6kBnYjeHz589eXl7Lli07ceKEyBt8twSePn0qOF7AxcXl8OHD6DaDwTAyMhJy/fz8fHSR5OLiIuRSTSU+Pp5CoSgrK4s1Nyc/Px+VxLm4uLDZbDQsd+XKlcKvvHnzZviWMoquVM6dOyf8sk2loKAAHeDp06cb8/yGmwFRqVQq7WdZBXIdQLUndDOEnuPAYA4M/QPGbIWJ+2D6aZh/DZb4gaU/9BgLADBmG9pWUq2eGO2JMDv+2sbzvf29z84BGd6v8sI/lqQVVNVy6rqs2DlZmTPGppsMQMX4qcP10sYZZi+ZySv/edOxn9KKDeGKFSsA4Pz587W1ta6urrt27RK3u8/Lywtd2fXp08fV1VXIUo16YbPZdnZ2aM358+fX8d1nZ2cvW7YsMTHx8uXL27ZtQ96Yennz5o21tTW5X+zfv7+zszPpJxT3xKs6ODg4dO3aFQVL7t+/v2nTJrGKS0hIcHJy+vr1699//x0REXHv3j2xipMKgsnbBEG4uLiMHTt206ZNmzZtWrVqlZGRkb+/v7m5+caNGw8ePHjx4sXHjx/HxMQwGAzkN2sYPp+P2oj8+uuvYqqmbRjU9ZA07SKnzgHu2LEDAPT19Rv4QTUelDIqIyOTmZl5584dtLKEUytE/gmiNFT4ZRlMPghjtsGwVdB/PuhNhu5DoZMuKNRTSVkXqgwodQWqDABAz3EwaAkYr4Vxu2GaI8w+Dxb3SKcr+a/b2uCBO8OmHn611O3t9ivx7yePDBioM0tNmTSEQ5TlP4zow1ixQPgDbMWGEJX+iKqBUCPZt29fnc93yJAhV65cEW0QxcfHB1Xp9uvXTzDEWFtbW1JSUlNTU1tbW+8ZrbKy0sPDg3RkCfYZIDl37lx6ero4Jl79CAcHhxkzZqxZs4aQiCF8//59cHBwUlJSfn7+06dPpXIqFyvZ2dl1Bjq6uLhs2LAhLi4uLi4uMDDQyMjo0KFDPzojNTwagsPhnDp1CgC6du0qrUFUaDaLurq6mGKTggcYFhaGhvkJM+imDlZWVgCwefNmLpeL0uzv3r0rqsUbA5oUIcJPEF2ajFrtMnJvpM6Gp3LLAr63W/D7HZh1FqYchjFbwcgGDH+HXlNAeyR07gOKnQEoAACUH9cp0ORAsTN07gPaI6HXFDD8HYxs/rOUs85aTNvy3rjf4wFa4zoqkoawh7zM+6G66eMMq6MjhDzAVmwIUU6KyAcnNcyePXsAoEuXLh06dEBW5KcJV83j06dPyJ4pKCg0Zp47GjtMhiS7d+9uZ2f3vRMyMDCQQqGoqak9evSIEN3Eq4ZxcHC4cuXKhAkTIiMjJWAI2yHfu0ZTUlJu3rzp7Oy8e/fuFStWzJw5c9iwYVpaWj+tCqBSqagKBX1DpAWaun7+/HmCIPh8/oMHD2JjY0WycmJiIvLrPHr0CIX0QNRDoFDKKPLuohycESNGiHD9hiEPsBnWl8fjXb161dvbmyCIgoKCK1euoMdRGTSZkEUQRHUtN62gKvxjiW9sgcfTLPt7n20835sdf23iEKW/+bms9ZO6ZnLRA5hyBABAsQuM3Ai/WEE/M9AZA90MoYMmyMg3/LUEgA406tW+3ceoKLz5pSf6pyMn836obqpRrwK6/c2bN4OCgoqLiy9fvtyMkdqt1RByOBwZGRkqlSq+uGC9oPIDLy+vwsJCAFBTUxOfLMHGctbW1vUmQDZcqvE95eXlqJcjhUKxtbVls9lCTrxqmJKSktTUVGQIExIShg8f7u3tjQ2hyGlSjJCMrEYA7gAAIABJREFUBnl7ezs7O5PRICMjI01NTRkZmU6dOqmqqrJYrLKysgMHDqxatUoiB/E/3Lx5EwD69evH4/EqKipyc3N37dr101cFBQWhsHd+fn69syxYLNaQIUMA4M8//yQIYvHixQAwduxYkfeX+O233wDg4MGDVVVV3bp1AwDJDGMiD9DGxqYZL6+trS0tLUX58EePHiUnXaOAMZPJbOQ6PD6fWcpKyK4IfFfYZ0soBdnCqXQAAPVB9ewmkaWcfw2mn4aJ+2DkRhhsCQZzoOc46GYIqj0VaTQA8DHQ7CJDm9ZJCf1TpFLeD9VNHa6XuXk1g8H4+++/8/Pz8/Lyjhw50tQDb62GMD09He1jJCwX5cWEhYVFR0cDwLBhw8Qt8erVq+gKfcCAAYmJieTjpaWlzs7OdcYONzCgg4TP5zs7O8vJyaEL1YyMjGZMvPopSUlJtra2ysrKM2fORIaQIIitW7f++uuvmzZt4nK5bc9jKUWys7PJEVQsFuvVq1fNWKSmpsbHxyc7OxudSS9cuFBQUKCoqEihUBpfqyMquFwuaomASkFevny5d+/en76qqqoKRU+PHTvm6Oj4/RNQJkufPn0qKytRSUCHDh3EkU6FioXU1dWrq6tRWt+sWbMIgkhLS7tz505BQYGHh0e9GgoJeYDNjnd++vTp8uXLQUFBdnZ2y5Yt+/r1K4fDoVKpVCq1eZcLybmVKisDwdIfTOwAAHqOB0t/ylJ/1VX/Br8vCn5f5PUixzkgw+7WR+uz8WbHXxvtidBcH0JZ+j9m8tL4mbFDetbrGk017v3l9NHPnz+jxMkXL16cOXOmqUq2VkOIhnmOHz9ewnJRvmV2djYKg6OmLeImOTl54MCBAKCionLr1i3UN4esFREcO9x4YmJikBHt2rVrQEAA0eiJVw1TW1t78+ZNlL2N/GwzZ87ct28fMoQVFRXa2tqbNm3auXOnBCZeYZqEg4MDg8Goqam5fv06ABgYGPB4vLVr1wKAVDaFqKPTyJEjv3z5cu7cuUYO9jtx4kRgYOD69evNzc3rGIOgoCAKhSIjI/Pq1av09PSOHTsi74541P//lNEvX74oKytTKJT4+Pji4mJUhk98l/EkPIIH2LwVCgoKli1b5uHhgWwemiWel5cHAMJ00HybWU5Z+gSGrwEA6DcbLP37bA39mNdQjW8Nm5dZVP0ypfRRbL57SNaVA+eTRg2o1xCmmQwojI46e/bskSNHEhISzp8/34zPtLUawkuXLiGHoSSF1tTUUCgUWVlZLpd77NgxAEDNBiVARUUFcuOQLlAqlTp79uzAwMBmb62KiopmzJiB1rSzs+NyuZmZmSNHjkT7yx/Vb/wIJpP5fakG2klERESQTdLDw8MfPHiAnEU9e/Z8+fJl85THiJz169d7enpev36dy+Xq6+sDwMOHD9PS0mg0mry8vMSmcCQnJyMXXFVVFcrKdnJyauReJDAwcMOGDeXl5cS3kzhJSUkJ6u135MgRDoeDwgFivZC9ffs2fEsZ3bBhA3wbmYsM4Zs3b0TrLBU8QBEuSxBEXFwcAAwZMqTZK1TWcMHSHwzNAQCGLKNaPmFzmnjW4nEZlrOeD9Fbqd6RNIQz1ZSTRxnk7xTB3ILWaghR9qYkpz8TBPHx40cA6N27N0EQ69atA4lXWW3fvl1FRUVZWdnW1pZ0hQkDcpOiBIpJkybl5eU1MPHqRzRcqlEvkpl4hWkSbm5urq6uvr6+xLe0w1GjRhEE8fvvvwOAnZ2dBHSorq42NDTs1q0byssYOnSolpYWAHTu3Nna2jo4OLjZXxUUGh83bhyXy0W+Sm1tbbEmS5Mpo/fu3UtPT0cdc54/f75jx4709PQ6dlp4LCwsyAMU7cpPnjyBb+1ymkcKaretPw0AYNQmjXXNKV/mlZcxVixIHzcw1bhX6nC9VGP9NJMB+TvX8xtREfRTWqshRHUt4puOVi+BgYEAMHXqVIIg0F4KnTUkxrVr1wBg0aJFol02NDSULLFHtRb1TryqQ01NjZeXF1mqQaPRzMzMGn+qEt/EK0yzIT87cjcWERERExODtvhiSpAW5K+//kLh8OrqatRDUVFRUbB/uq6u7q5du1BNEfolIvbs2VOvd4HD4Xz+/Hnr1q0AoKqqmpmZ+fr1a1lZWSqV+vTpU3EfjmDKKPLoiKlr64ULF9ABCl/K/D3I/SZMA9jwjyVg6Q9axgAAkxyG7Apv9lLVryKKjtnnbVldfOowK/En3SsbT2s1hOPHjweJjy47d+4cAKD+9P379weAHxkJMYE6GaL0OTc3Nx8fH1Fd/RUUFKBSIRqNhkrsk5OTUc60oqJinQuOlJSUxpRqIGJjY8+ePRscHPzs2TMXF5c6mc2CE6+aHdjAiIN//vkHAObOnUt8GyQp7slWqLZHXl7+7du3qampKioqAICmrSUmJtrb2yOHLcLQ0FBZWZnMc7GysgoKCiopKXnz5o23t7e9vb25ubmRkREqJKBSqR06dHB1dSUIYtu2bQCwc+dOsR4LQjBlFHXMUVFREUkymiB13iuRc/ToUSHfsXvRTLD0B7XeAADTnX+jx4hQPZHQWg0h8oaLxD3YeHbt2gUABw8e5PP5KFdFJK0oGs+qVasAwN3dvaKiApkoEToVBUvsp06dWlBQUF1djSSicGxlZWWTSjXIZfl8/sGDB5Ef+/th2VlZWSitoIHGchjJI5gy6ufnh3yJjWlM0zwKCwvRlJ/jx49zOBzUa7DObFsejxceHm5rayvYI9fQ0JBOpy9cuPDhw4fwHVQqVU9PD61Mnsrv378vvgOpg729PXxLGUXtnI4ePSrC9cn3ytzcXITLCoIyUYVJ7XENygRLf1DsDAAwz2vZuWbm4omPVmkI2Ww2jUaj0WgNn4JFDurGe/36dSaTCQBdu3aVpHSCIKZOnQoAgYGBCQkJyIMkchEhISGoRWGPHj0iIyOJbxOvkOMFnVyUlZXXrFnTyMxSHo/n5uaWlZWFTOD3IzuIBideYaQIShldvXo1n89HNRVkhbXImTNnDgBMmDCBy+WizaiOjg5ymEdHR1++fPnmzZsnTpzw8PAoKSnhcrnBwcFo+C1p8wYOHKiurj506NClS5cePHjQ29s7Pj4eTed+/fo18u6iUnFJQqaMvn///t9//wUADQ0NEXbMCQsLk5WV1dXVFZ/jGjl1hdlu7r37CZb4AVUGgAKLH+28mSxC9URCqzSEKSkpAKCnpydhuWjjEhERgcY4GBsbS1gBFCz5+PGjr68viG2WN4PBQOWSZCbL27dvO3furKmp2aNHDzqd3qRuyEFBQWfPnkWhpjNnzpBD5L+n3olXGCkimDKKqu4GDBggjs60Z8+ehW8jkCIiImg0GpVKff78OfkEZ2dnHx8fd3d3V1dXsuoGWRRfX19zc3PkyUB+BTMzMy8vL5SudeHChbFjx44ZMwZFwZs6Y10kCKaMDhs2DAAuXLjQ7NXYbHZsbCzpCkpISHj9+rVYs69RM0thGvSvuZAAC28CAMirgKX/CX+JevIaQ6s0hGhK5KRJkyQsFzlkcnJyUNsL8fki6oXL5crJyVEolJqaGlRitW7dOjHJYrPZmzdvplAoxsbGyInUr18/AHBxcXF0dIyPj/fw8LC1tRW5XLKxnKKiojAnC4yoWLhwIQpLs9ls1I3Mz89PtCJSUlI6dOgAALdu3SorK0PlrX///Tf5hOzsbA6H4+DgkJub++bNm/v376PHBSvbLCwstmzZMnnyZNIiWlhYPHnyZNSoUSgmd+DAAQCg0WgSc4qSpKenGxoaXr58mfiW1UKlUtXU1AwNDU1NTa2trW1tbel0upeXV3BwcGJiYm5ubgMhj5ycHAC4dOkSuiuBpiIoH0Kwm0dTme30Gma6AQCo6oKl/41ICZXiNJ5WaQjRl2nFihWSFFpdXY0i+Twe78iRIwCwY8cOSSqQlZUFAFpaWgRBoCw4sgGSmPDx8UFRWD6fj7yjX79+RaGCmJgY5DgVOeTEKwsLi/Hjx5OX/8eOHfP09BSHREwDCKaMHj9+HEQ9WpnNZqPSVfRzRu2qjYyMBM0Vg8G4dOlSXl7eq1ev7ty5QyaIjR49mnzOtm3bIiIiCILIzc09efLkiBEjbt++vWzZsjt37pDPGTp0qKAJkQroAH+KoqKinp7emDFj5s6du3btWnt7ezc3twcPHkRGRqakpAwbNmzw4MHIMSMBQ4jS2YSZijVybyRMOQQAoDEELP1DEsU4YKt5tEpDiDpf1xttEh8fPnwAgH79+hEEYWNjAwD1NjMUH2FhYQAwduxYgiDmz58PAII/crGCLkI1NDQqKysPHTrE4/HEbYNv3rxZUVExdOhQsn3+/v37JfyGYxAoZdTJyamiogL1HhKhIw4NHevVq1d5eTkac62srPzx40eRLP7rr78i64i4evUqAPTv31/cc8d+BDpAJSWlhISE3NzcxMTE4OBgLy8vOp1ua2trbW1tampqaGiIvLg/4unTp+PHj/fy8kLTE8VtCFksFuoiIkxeXs+Nz2DMNgAAvUlg6Z/IaHFJAD+btdgisbKyMjAwQMn94eHhqJRC3GRmZgIA8tsI3pYY3yvQq1cvCYt+9+5dv379ampq5s2bJ1aJS5YsQTcKCgoIggCAysrKNjZovrWwY8eOsLCwU6dObdy4ce3atXQ6/cSJE3fv3hV+5fDwcCcnJxkZmRs3blRUVKDry1OnThkYGAi/OABoaWkxGAzy7uLFi1euXPnx40d/f//Zs2eLRETjycnJIQ8Qnbu0tLRQ68Tvqaqqys/Pz8/PLywszMvLKywsJO+iAI21tbWnp2dUVJS41UYuGQ0NDcr/DqBvEgUVtcAqAwBQUAOA7p3kRKWeyJC2JW4yT548MTU1HTNmzLp16yorK3v16iUZuag2FjWt79u3LwAkJSVJRjQCtcNAjWWRs6KwsFAyosVUyP9Thg4dOm/evMWLFy9evHjw4MF4RygV+Hz+oEGDAODKlSv5+fkKCgpUKlX4RtVlZWW6uroAgOpWJ0+eDN/KFkVFSEjI8OHD0UTo7OxsHo+Hil8l36OYx+NNmTJFJAeYk5OD9E9ISBgzZoyOjo4oFPwhaLqAMImBJV/ZYOkPAxYAAAz9Q9b6SQtsJPXjMYktkri4uM2bN6NLof9r787jas7+P4Cfe2+67UkqtxhLWaIYo6xjGdNgCBEyhZAlg4xRMgwVBoXqEUnFkJBdwqOmhZI9IXLVaF8p7m29a/d+fn+c73we/Wxtd6k+7+cf87jrOeczM59e93M+Z7GxsXn//r3Cqsa36Hr37k0QBP6ZiccOKL4B1dXVXC5XU1MTz9VVAAVfgDZ25MiRqKioqKgovNAXUDwajYYnofv6+hoYGDg5OUmlUn9//zYWu2bNmsLCQisrq23btvn5+d2+fdvQ0DA0NFQWTf6fH3/8cdOmTfb29j/88IObmxuHw7G2ttbX109NTcUDvxXGz8/v1q1bsj1AS0vLMWPGcLlcWRX4WSYmJoGBgXjFn9Z5WyVECCE+FyGE1PSMdJltuLaUG2Unccv8/vvveHkIksKuCPEf4qioKPKGmWLqJeFBzAkJCc+ePUMIDRkyRGFVkxP5FVYjBvcI2wlyyOjNmzezsrLodDqTyWz+7nSfwrfrNDU1s7Oz09PT8XDomzdvyrDNX7J161akqH1jMPIAZTLgtqamhlyntKam5sCBA3iupMw9ePCg8X7F06ZNa105t58WT7PdbaL/DUKoz7j1Vn+2dTd5eehgV4RlZWUKvg4j4Un0ffr0UcoNQtToRp3ir8+UdcijRo1iMv+3dXW/fv169eolEolOnDiRlJRUUlISFRWl4PZQVpcuXdavX48Q2r9//8CBA2fOnCkUCsPCwlpXWnFx8YYNGxBChw4d6tmzp5OTk0gkcnNzmz59uiwb/QUbNmxQU1OLjo5+/fq1Aqrj8Xj4ANevXz9jxoxWl1NZWYkQamhoEIvFTk5O+MXHjx+Hh4f7+PjIpq3/X1VVFd72FcO/v1uq/lac8bppvm9PO6nV/ayndaj6xt7HOyUfKmXXTBlRdhK3zIYNGz66LlHYFSFBEG/fvhWJRPn5+Xv37lXwLDexWKyiokKn0wUCQUBAAEJo3bp1CqudnMivsBq/pLq6uqamxsvL6/379wcOHFB2cyik8ZBRvDZCc3Ym+ZREIsHDUOfMmUMQxOrVqxFCgwcPltNlTV1dXWhoaEREBJfLDQoKSk1NJQgCz89p3R7uLYVX52njAcbHx588efLs2bPbt28/fPjwnTt38OtyXQ89NjYWLwKAtaIPrC45IW+suRura8awb/DGSUdNDSIHGBfO+F5SXy/LtrZZB7siXLBgQXBwML41WF1dLRaLFVb1hQsXFixYYGNjs2bNmp9//nnFihUKqxohVFJS0tDQYGxszGQyFXx9JpFIiouLaTQaHtqgXDo6Ovn5+ebm5vr6+uTUaSBXXC43PDxcW1sbh9bBgwetra3XrVuH9ydpqeTk5NTUVBMTk/Dw8NjY2LCwMCaTefbsWbw6tsxpamqOHz8+Pz8/MjKSwWDo6+sjhNzd3el0ekREBO7maUwikUgkEi6Xy+fz2157bGxsaGho2w/wp59+MjMz09PTU1FRcXFxIW9wWltbT5o0qaamBk+tlrm4uLiJ/xGJRC36LiEWV/q4SwX8+CqegCDwi2yeuEAgbOBUck8ckUN7W6+D/SkZO3ash4fH7NmzJ06cOHfu3LKyMnInWLl69OiRn5/ftWvXUlJS/Pz87O3ta2trFVAvKT8/H/3XHargICwtLRWJRCwWC8+pV67s7Ox9+/YJBIKsrCw2m/3y5Utlt6jzo9PpeETGxo0b1dTUrly58tdff12/fv3Ro0fFxcVCobBFpU2ePPnWrVtnzpyRSCTLli0jCGLv3r14IVN5IAgCrxUuFArnzZt3/vx5hNCAAQNmz54tFArxUHDS5cuXg4KCnj59GhYWlpOT08aqKyoqZHWAycnJ9+7dGzlyJJ/PT0xMNDc3J9/y8PBACAUGBrY0qJpj2rRpKf9RVW3ZnAfB08eERPrZtwihsDbmgiwaKDMdbx7h4sWL8WaE2J07dxRQ6blz59atW4e7hiwtLceOHXv79m28TLBiNA6/xqGo4KqVbuDAgXh9O4SQnH4Fg4/o6uriXZcNDQ179uwpFovxotgkNTU1Y2NjFoulp6eHHzR+2qtXL3LTZgyvTTNr1iy8+Rfe3EBOampqzp07N2jQoClTppw/fx5vB40Q2rJly9WrV0NCQrZs2YL3MEII2dvbBwQEqKqq6urqZmdn49l+rUMQhIuLy7t372xsbPAN0bbQ1dX97rvvOBzO5s2bc3NzraysyLd+/vnnYcOGZWRknD17dunSpW2sSIbExQVEw/967FxzK1RoNIRQmajBtYcuQkjy4QMiCNRuxo92vCBUirdv306dOpV8amxs/Gmnilw1TiM8j0JhyaTg3AXtzfv378vLy58+fXrv3r2cnBwdHZ2FCxfW1ta+e/euvLy8oqJCIBDk5eU1HljRGI1GMzQ0NDAwYLFYPXr0MDQ0NDY2fv78+Y0bN/T09EJCQv7++29NTU28xYHM6erq4h5dhBAe74ONHDly/Pjxqampx44d27hxI36xrq6Oz+drampOnz79+PHjbZmxExwcjA/w77//bnsfPl6qG2ucggghGo22cePGpUuX+vr6LlmyRIb3C9TV1XFPMtbSvje6lhaNzsBdokdNDfVVGAihoPKq/zVbVbX9pCDqcEHY0NAQFRXVtWtXBS8M0bNnz6KiIvJpQUEBvuEvPy9fviwrK5s6dapQKDx//jwZhBwOp7q6Wltbm9wXV97a1RUhULzu3bv7+fmx2Wy8HNqxY8fmz5/f+AN8Pr+8vLysrAz/k8vlNn5QVFT07t27d+/eZWZmkl9RUVFhMpmHDx/u1auXo6Ojn5+foo8KIQ8Pj9TUVH9//7Vr1+J+v7i4OBaL1a1bt0ePHpHp2ApsNnvz5s0IoaNHj+KdU+XK0dFxx44dWVlZsbGxbRmY+hF8a5B8+uTJkxZ9XW34KNQg+fx7NJrasBFtaZvMdbAgrKqqys7OVldXV3AQOjs7//LLLzNnzmSxWA8ePMjIyMDrRMiPkZFRYmLi1KlTjx8//u7dOwrOnQDth1AodHJy4vP5K1as+CgFEULq6ur9+vVrvH18YxKJpLKysqKiorS0tLKy8u3bt+Xl5RcvXsRPVVVV09PTv7TSmFzZ2toOGTLk1atX58+fx3db9uzZ8+zZM1VVVX19fbKb97P9vV8plvx35eLismDBAgUcSJcuXdzc3Nzd3ffv3y/DIGwjFaMemjbT6pLiPn2LxlTTX++p+CZ9jTKHrLbcv//+Gxwc7O7uLhaLFVx1QkLClClTJkyYsGDBArwng7z5+/u/fv16xYoVzs7OJiYmCKG8vLz4+HhdXd1Zs2YpoAEYOZFfYTWC9gbvdmJqalpTUyOTAvFu8j179iwoKHB1dQ0NDZVJsS11/PhxhJClpSVeUXrixIk6OjpN/s3U0NAwNTUdN26cnZ3d2rVryckM2KVLl2g0mpmZmSL3lyYnt9y/f19WZZaUlKSkpBAE8eDBAzztpKWkfF6x85zM0YPefNcHT59gf9c3e8yg6qvnZNVIWaER/w1s7RAqKipOnDjBYDA2bdrUlkVg27979+6dPHly+/bt2trax48f37JlC0KIz+fjcQdCoZCcaS5vffr0KSwsfPPmjZmZmWJqBO1KSkrK5MmT6XR6amrq6NGjZVImQRAWFhZsNvv06dPk9HDFE4vFpqamxcXFsbGx06ZNwy8KhcIPHz6QHbwf9feWlZVVVVU1LiQsLGzKlCnk5KKioqKMjAwjIyO8vZTC/PHHH/v27bO3t8d7XLRdampqSUlJ37597927t2LFCrxpdotJJTXXLlZHnWwoK0aqqurDR3VbvUF1gHnTX1SsDhaEVJObmxseHh4eHi6VSgUCgaen544dOxQ5f66hoUFdXV0qlfJ4PIVFL2g/qqqqhg0bVlRUtGvXro8Gi7bR8ePHV6xYMXTo0OfPnyvxR623t7ePjw++yGOxWEZGRkZGRiwWy9DQED81NDTEGz6Q6urqyB0hysvL+/btO3PmzISEBBsbG4Ig8A9HxR/Iu3fv+vTpIxKJsrKy8K4AbRcQELBkyZKEhISHDx/6+vq27i8Ah8PR09Oj0Wjl5eVf32FKiTrYPUJluXPnTs+ePQ0MDM6fPz958uQv3Q6RFalUGhcXFxwcHBcXJ5VKEUJ9+/YtLCz08fF5/PhxZGRk49FccoXHyldVVUEKUpOrq2tRUdG4ceP++OMP2Za8aNGiHTt2vHjxIj4+vvGQbAXLyMig0Wg8Hu/ly5dfmpbapUsXAwODHj16sFgsAwMDY2NjMi8tLCz4fP7IkSM9PDwePHigxNPEyMho0aJFx44d8/f3DwkJaXuBnp6eenp61dXVPB6PwWC07sdKfn7+s2fPXrx4MX78+Pfv3/N4vGXLlrW9bbKn3J7ZDkEqlSYkJERHR+/Zs6e2tvbPP/+UX11VVVWhoaHkhFkmkzl//ny8F3xSUpKRkRFCqGfPnnLaHR7Dm4MXFhY6ODiQ21K7urrKr0bQPuFbaLq6uvn5+fIof+/evQihH3/8UR6FN8eJEycQQlpaWk+ePMnMzExNTb1w4UJgYKCnp+fixYttbW1HjBjBYrG+3geTmJhoZ2e3e/fuHTt2SKXSb775RlmHI5P10ElVVVUcDkcoFAoEgoaGhlaXc/PmzYMHDxIE8fjx42vXrrW9YfIAQdgsubm50dHR3t7eBEHgf8ocm812c3Mjl60yMTHx8vLCW6mRiouL8YxgFRWVffv2tWXP6E8JBIILFy6MHTt248aNBEG8ePFCX1/fxcUFvyvvjbBBe5Obm4tnmkdGRsqpiurqanzn6eHDh3Kq4ivy8vLw0JhTp059/ZNCobC4uPjRo0fXr18/duzYzp07169fP2/evO+//37gwIFPnz61s7MTCASWlpbZ2dlKDEKCINzc3I4cOSKnhVtbIScnJyMjY+vWrSkpKfv27SN/WLc3EITNcvr06V27dqWkpAQGBsr274JQKLxw4YKNjQ3OPxqNZmNjc+HChS8NixWLxV5eXribYtasWRwOp+1tyMvL27x5M9nd2r9/f4lE8uLFi9mzZ9vY2OABYxCElCIWi8eMGYMQsre3l2tF7u7uSBl7PsvwADMyMuzs7AiC+Oeff2bNmqXcIExMTMSXXwRBNDQ0zJw5U4mNIQhCIpE8ePCAw+Hk5OQ8efKkqKhIue35EghCpSkvL9+3bx+5XoOOjs6qVatevXrVnO9eu3YNb1Lfu3fvVv+axl2+8+fPV1H5363iESNGhIaG1tfXEwSBgzAzM3P48OEikQiCkFJ27NiBO+E/fPgg14pKSkpUVVUZDEZOTo5cK/qIl5cX7ndp+wGSQUgQxIIFC5QbhOfPn1+/fj1+LBaL5b1/facBQShfV69eJbcbLS0t9fLyIgjiyZMnixcvJhdgHDRoUGBgYEs3tSksLBw1ahS+jxgYGNii71ZXV4eGhpKzmPGdyLt37xIEwePxjh075ujoiIOQIAgPD4+AgAAIQup4/Phxly5d6HT6rVu3FFCds7MzUuy2YuQBJiUltb208vLyiIgI/LikpGTv3r1tL7PVIAhbB4JQvvbu3RsQEIAfZ2VlTZgwgVwxvEuXLg4ODh/Nxm0RgUDg5uaGS3NycmrOBN6srCw3NzctLS38LWNjYy8vr4qKCoIgcnNzPT09u3fvjt+KiIjAQVhbWzt06FAIQoqora3Fg++3bNmimBrZbDadTtfQ0MD/H8pbXV0dPkBPT08FVKdg58+fNzExmfAfCMJmgiCUr0+DMDIyskePHp6enrLqLr98+TIecTBw4MAXL1589jMNDQ0xMTE2NjbkGOhx48ZEdapVAAAUTElEQVThO5ESiQR3kDIYjMYdpGlpaTgICYK4ePEiDkKhUJibm0sQRF5e3rNnz2TSftCu4Ouz7777Dg8eVgy8MJichqF9BG/RMHz4cHkcYG1tLT4HX758mZycLPPymwRXhK0DQShfe/fuNTU1xb/OrK2tJ0yYIBaLRSKRbGvJzs4eOnQoQkhdXT08PLzxWzU1NT4+PuTqiDo6OuvXr8d7zeMO0sGDB386VeNLUlNTd+/enZ+f7+fnV1hYKNujAO2Br69v165dX79+rchKk5OTEUL6+vqt2/W++S5fvowQUlNTe/nypTzKT0tL27NnT35+vr+/v1JGSEIQtk4H25i3I1q3bh3e2TIyMhIhpKKi8tH2bG03YMCAR48erVy5ks/nr1y5csmSJTweD7+lqqoaHBxcVlY2YMCAffv2FRYWBgUFEQSxYcMGY2Pj1atXs9lsPFWjpKQET5/4SkXff/+9hobGixcvRCLR0aNHZXsUQCkOHz5cVlaGH6emplpYWBQUFAwaNEiRbZg4ceKYMWM+fPhw8uRJ+dVSWlq6atUqhJC/v7+FhYU8qrCyslJTU8vKyqqrq/vrr7/kUcXXaWho4GF0CCEajfb19cEBCYJQZtLS0iIiIs6cOXPlyhVvb+9Xr14psnY1NbWwsLCIiAgNDY3IyEhra2s2m40QYjKZAQEBt27dys7O/v333xMSEn766Sdzc/OgoCAej4enahQUFHh7e5N3B78iOzv733//xT8z8ZI3oKOLiYl5//49fpyZmZmWltbKVSXbZtOmTQihgwcPNjQ0yKN8qVTq7Oz84cOHadOmubq6yqMKhFBGRkZGRkaPHj0EAoGampqcavkKW1tbHx8f/JjBYDx69EjxbeiIYIk1mbG2tk5PT+/evfvcuXPV1dXr6uoU34YlS5ZYW1vPmzePzWaPHj06PDzcwcHB0dHx7du3vr6+wcHBxcXFCCG8t6qbm1tLt7/p1avXnj17tLW1+/XrR464AaDt5syZ079//zdv3ly+fNnBwUHm5fv7+yclJRkYGJw4cUJ+S5sOGzYMX9QOGTJE5h0/QH5g0W2ZKS4uZrFYu3fvnjFjRm5urpx23G6O2traVatWnTt3DiFkZ2enoqJy7do1sViMELK0tFy7du2iRYvIJWwAxU2ZMoXL5eL/H8rKypycnPAcO8U7evTomjVr1q1bd+jQIdmWnJmZaW1tLRQKY2JibG1tZVt4uxUdHZ2RkTF9+vTExERra2ty1Q7wKbgilBk6nX769OnVq1ffvXu3pqbm9evX5JKhCqatrR0VFfXDDz+sX7/+zp07HA6HwWDY2tpu2LDhxx9/7NzbV4FWOH78uKWlJULo6NGjFRUVymqGs7OztrY2ufFvUVGRiopK2+9yCQQCR0dHgUCwdu1a6qQgQsjOzk5LS0sgENjZ2SllQ4wOBO4RyoyJicnSpUtZLNb8+fNXrVqlrBQkrVq1atWqVRwOZ8SIEYcOHbp+/TqHw4mNjVVuq0D7RKPRlP4LSV1d3d/fv7KyEj89derUlStX2l7syZMnX758aW5uvn///raX1oGkpaVVVlaOHz9e2Q3pAOCKsDPD4w7mzZuHB5FmZGTgUXMAdGIikaihoUFDQwM/XbhwoVQqHTNmjLq6unIbpmBFRUW1tbWZmZkZGRn4zgj4EgjCziw/Px8hZGFh8ebNG4TQokWLjhw54u3tTbW/COArLl68SI57Wrp0qdIHDURGRnbt2hUhlJaW9tNPP7WihOjo6Lt37wYFBSGExGKxpaUlHiNGNfb29viBnOaKdCYQhJ1ZQUEBfsBms589e/bgwQNdXV2ljOoG7c2LFy8ePXrk4ODQeLJEe/iFpKOjg5sE/6MChYEg7LQIgsB3yCdNmoTHCAwfPlzZjQLtxcWLF93d3cPDw/EEvvZj9uzZJiYmCKHc3NxWF1JeXn737l2EkEQikVnLQOcFQdhpvX37ViAQGBgYwIQ/8CkGg6GlpcXn85XdELkoKCjA48Jg2QfQHBCEnRa+QdinTx9lNwS0R2ZmZkFBQTNnzlR2Q/4fDw8PfIMQITR16lQmk9m6csaMGYNXOBOLxadPn5ZZ+0AnBUHYaeEbhH379lV2Q0B7tGjRImU34TMaL0NhbW2txJYASoEg7LRwEMIVIeiIxGLxpUuXhg4dWl9fX1hY2KtXr9GjRzfzu/369SN7ROl0uqOjo9yaCToJmFDfaUEQgo6Ly+VOnTr13LlzI0eO/Pbbb8llwZvDysqKvLJkMBi+vr7yaSPoPCAIOy0IQtBxGRoaZmZm6ujoIIRu3Lgxffr0r3/+0qVL3t7eBQUFFRUVzb92BACDIOy0YLAM6LgKCwuzs7NpNFp1dbWBgQGd3sRfKhsbm7KyMh0dnWPHjpETyQFoJth9onOSSqUaGhoikaiuro5cawqAzionJycnJ6ehoeHZs2cvX7708fFR+mK/oAOBwTKdU1lZmVAo7NGjB6QgoIKqqqr6+vq5c+fa2triJbaV3SLQkUAQdk5wgxBQipWVlZWVFX6Mt5QCoPngHmHnBDcIAQCgmSAIOyeYTQ8AAM0EQdg54SDs3bu3shsCAADtHQRh51RWVoagaxQAAJoBpk90NtnZ2QMHDkQIvXv3rr6+3tDQEHafAACAr4Arws5m4sSJ+IGRkdHu3bvv3Lmj3PYAAEA7B0EIAACA0mAeYWcjlUovXLiAH+MhMwAAAL4CgrATqqysxA8EAoFyWwIAAO0fBGFnQ6fT165dix+np6crtzEAAND+wT1CAAAAlAZB2Nm4u7uTj2fPnt2/f38lNgYAANo/mEcIAACA0uCKEAAAAKXBYJlO5f79+2w2e8SIEdnZ2Xp6elOnTlV2iwAAoL2DK8JOZdSoUZqamqWlpXZ2dnl5ecpuDgAAdAAQhJ0KjUazsrKCCAQAgOaDrtFOJTU1NSsra9KkSXFxceXl5UKhkMlkKrtRAADQrsGoUQAAAJQGXaMAAAAoDYIQAAAApUEQAgAAoDQIQgAAAJQGQQgAAIDSIAgBAABQGgQhAAAASoMgBAAAQGkQhAAAACgNghAAAAClQRACAACgNAhCAAAAlAZBCAAAgNIgCAEAAFAaBCEAAABKgyAEAABAaRCEAAAAKA2CEAAAAKVBEAIAAKA0CEIAAACUBkEIAACA0iAIAQAAUBoEIQAAAEqDIAQAAEBpEIQAAAAoDYIQAAAApUEQAgAAoDQIQgAAAJQGQQgAAIDSIAgBAABQGgQhAAAASoMgBAAAQGkQhAAAACgNghAAAAClQRACAACgNAhCAAAAlAZBCAAAgNIgCAEAAFAaBCEAAABKgyAEAABAaRCEAAAAKA2CEAAAAKVBEAIAAKA0CEIAAACUBkEIAACA0iAIAQAAUBoEIQAAAEqDIAQAAEBpEIQAAAAoDYIQAAAApUEQykxubu7bt2+V3QoAqAvOQdA6DG9vb2W3oZMYMWJEUVHRzJkzCwoK4uLiTE1Nu3TpIo+KcnJykpKSBg4cSKfL/neMUCi8evUqm81WVVXV19cnX09PT4+JiUlPT5dIJD179pR5vQC0nbW1dX5+/qxZswoLC+V6Dubm5iYlJQ0YMIDBYMi8cJFIdOXKFTab3aVLl8bn4PPnz69evZqeni4UCr/55huZ10tpBJCRPn36rFy5kiCIiIgIhFBJSYmcKjp06BBCqLa2Vh6Fe3l5qampIYQCAgLwK3V1dbNmzUII9e3bF0fgL7/8IhaL5VE7AG3Rr18/FxcXgiBOnz6NECoqKpJTRcHBwQihqqoqeRTu7e2Nz8GDBw/iVwQCgZOTE41GMzMz6927N0Jo2rRpQqFQHrVTE3SNyp6jo2Ntba2xsbGcyl+5ciWHw9HU1JR5yVlZWfv27du2bVvjFw8cOJCcnJycnJyXl1dcXLxz586oqKgzZ87IvHYAZMXBwaG2tlZ+XRcuLi4cDkdHR0fmJX/2HAwPD09ISHj69OmbN28KCgr+/vvvuLi4Y8eOybx2yoIglD0Oh/Ps2TOxWEy+wuVyb9y4cfr06fj4+LS0NDab3cxyYmJiIiMjnzx50vj1ioqK9PR0qVSKEEpJSamsrKyvr79x48aZM2fy8vLwZ9LS0qKiou7fv08QRDObLZVKXVxchg4d6urq2vj1rVu3Pnz4cOLEifjp5s2bVVRUHj582MxiAVA8Lpcr13OwsrIS3yZACKWkpFRUVJDnYG5uLv4MPgfv3bvXonNwxYoVFhYWv/76a+PXf/3114cPH3777bf4qaOjI41Ge/36dTOLBU1T9iVp5/GlrtGjR49qampqamqam5traWkhhHDvzdddvHhRS0tLT09vwIABNBrNycmJfKtx16ienp6Li0uPHj369+9vZGSkoqJy6tQpOzu7bt26mZub02i0uXPnNrP9gYGBDAbj6dOnHA4HNeoa/YhEImEymUuWLGlmsQAozJe6RsPCwj46B5ctW9ZkaZcvX9bW1ibPQUdHR/Ktxl2j+vr6y5cvZ7FY+BxkMBgRERFz5swhz0E7O7tmtj8oKIjBYKSnp1dVVaFGXaMfuXbtGkLo1KlTzSwWNAmCUGY+G4S3b9+m0WjLly8XCAT4YyYmJk0GYXFxsbq6+vz58/G3QkNDEUK3b9/G734UhAYGBvhXp1AotLa2ptFo27dvF4lEBEEEBQUhhB4/ftxk4wsKCrS0tDZt2kQQxNeDMDU1FSEUGhranH8nACjSZ4MwJSWFTqc7OzuT52CvXr2aDMKSkhINDQ17e3s+n08QRHh4OEIoKSkJv/tREHbv3v3u3bsEQQiFwpEjR9JotG3btuFz8PDhwwihhw8fNtn4wsJCbW3tjRs3EgTx2SAsKirauXPnL7/8oqWltWXLFolE0rJ/O+DLoGtUvkJCQrp3737o0CEmk4lfodFoTX4rNjaWz+e7u7vzeDwul2tnZ8dkMm/evPnZDy9cuHDs2LEIIVVV1fHjx6uqqu7cuRMPlrOxsUEI5eTkNFnjunXr9PT0mhxC3NDQsGXLFjMzM2dn5ybLBKA9CAkJ0dPTCw4ObtE5GBcXx+PxPDw8+Hw+PgfV1dW/dA46ODiMGzcOIaSqqjphwgQVFZXdu3e34hzs2rWrj4/Plz5QV1f3/Pnz/Px8iUTC4XBEIlGTZYJmUlF2Azq5V69eWVpaamhotOhb+DbDqFGjGr9YXFz82Q83PquZTCbR6IYEPvObPGEiIyNv3LgRHR2Ne42+RCqVrlmz5unTp//88w/5NwWAdg6fgy0dXIbPwdGjRzd+UX7n4JkzZ65fv3716lVtbe0vfcbc3Pzy5csIofv370+aNElXV9fPz6/pIwHNAEEoXxoaGq2YaaShoUGn00tLSxvnjZxmRCGEtm/fjhBatmwZfopP423btsXExNy6dQu/yOPxVq5ceenSpejo6PHjx8upJQDIHD6bWvEtGo1WWlqKZzJg8j4Hly9fvnz5cvTfOfjnn3/GxMQkJyd/9OGxY8cOHTo0ISFBTo2hIAhC+TIzM7t165ZQKMSRxuFwPnz40OS3zM3NpVIpm82ePHmy/NuIdu7cKRAIyKc8Hm/jxo22trYLFy7ErxQVFdnb2xcWFv7zzz+TJk1SQJMAkBUzM7P4+HiBQIAjjcvlvn//vslvmZubEwTx6tUr3Lcpbz4+Pnw+n3zK5/N/++038hysqal5/fo12UUkkUjev39vYmKigIZRBAShfC1dujQqKsrV1XXr1q21tbX4lkOT37K1tTU1NV29evWRI0cGDx5cUlISHR29efNmPT09hBCeOCHDZWWWLFnS+CmXy924ceOYMWPmzJmDELp58+aiRYsQQoGBgQ0NDYmJiQghdXV1fFMEgHZu6dKlZ8+eXb169Z9//llXV+fh4cHj8Zr81owZM8zMzFxdXUNCQgYPHlxaWhodHe3u7t6tWzckh3Nw8eLFjZ9WV1f/9ttvo0ePnjt3LkIoICBgz549u3btmjZtGp/PDwoKKiwsxBeRQCYgCGVGRUUF94LS6XQGg4FvG0yZMiU8PHznzp0nT57U0tJavnx5c2b/qKurx8fHr169+ueff5ZIJOrq6jNmzKiqqsJBWFBQ0K1bt5bed2w1X19fPIZt6dKl5It9+/Yl5ywC0E589hy0sbHB5+CpU6e0tLSWLVuWlZXVZFFqamrx8fGurq74HFRTU8PnIA7CgoKCrl27fuV+nmxt27aNTqcfOHDA09MTIcRisYKCglxcXBRTOxXQiGZP9gRtUVNTo6mpyWAwWCyWnZ1dSEhIRUVFfn7+p5/U0dExNzfHj3k8Xl1dnaGhIfkuj8cbNGjQ1KlT8Xju5svKyqqurv709T59+hgZGbWoKAA6IvIcNDExsbW1DQ0Nrays/OzvOW1t7cGDB+PHn56DfD5/0KBBNjY2x48fb1ED2ngOSiSSiooKhJCRkZE81hmmNGXO3aAeDodDp9P3799PEMTRo0c/+19k/PjxXylh8+bN+vr6ZWVlLa36S7cbDx061PrjAaCj4XK5DAbD19eXIIiwsLDPnhTjxo37Sglbtmzp1q1baWlpS6v+0u3GoKCg1h8PkAW4IpSvO3fu7Nmzx8nJydTUtL6+/uDBgykpKRkZGQMGDODxeJ/9echkMnH3y6cIgrC3t//999+///77lraEw+EIhcJPX9fV1VVYLysAinf37t1du3Y5OTmZmZnV19f7+/snJyc/f/584MCBfD4fd/t/5KOtVz5ib2//22+/tWLsNJyD7RYEoXy9efMmODg4MTGxoKBAU1PTwsLCy8trwoQJym4XAFSRk5MTHByckJCAz8EhQ4Z4eXmRa+cCgCAIAQAAUBzccQUAAEBpEIQAAAAoDYIQAAAApUEQAgAAoDQIQgAAAJQGQQgAAIDSIAgBAABQGgQhAAAASoMgBAAAQGkQhAAAACgNghAAAAClQRACAACgNAhCAAAAlAZBCAAAgNL+D3RPI+8fmNv2AAACRnpUWHRyZGtpdFBLTCByZGtpdCAyMDI0LjAzLjQAAHice79v7T0GIBAAYkYGCFAGYhUgbmBkZNAAiTOyOYBoZhZiaZg+QQYFEM3GABHmgNBM7BCamZDx7BCaGZfxGOag2cMGth6uHKEMqzAuGuoJGJcbGE6MbBlMjEwJTMwZTExKQAsTmBUZWFgzmFg4FVjZElg5GNjYGTi5NJg4uRW4eRi4eRV4hRJ4+TKY+PgT+BQY+AUymPjlGQQEEwSFMpgERRSEhBlERBlExBTExDWYxCQYJCQZJKQYJKQZpGUYpGUZpOUYnJiAdrMxMjGzsLKx8fELCArxiq9jREQZg/IEiw8Hem4bOIA4LX9PHpCc99YexDbdO/dAOYMMWDyAJf/A++eHweJX+aoP6DXr2oLYu46vPFDxlnM/iH2M6cIBgc49diC2mPOfA90sUftA7L9n1h/w2Ml4AMTeM0PvwNnIWLB6x8VWB+KmiIHFrQ3W7HfRmAhWbyA9Zf8Rw1lgu1wVpPYJJs8Aq/dLWbuvOF8brN5OLdr+c3UqmK3nxe/Q4eUAZm8OkXawljy0H+p+e6D7wWz7S1vtjb8ngM0MulrscCYnHyy+TXWBQ9r512D29fv1Dve6eMFq9mUaO+Tf22UPdZsD0G1gdtv0mQ4HRRTBYfLhxD6H48frwG7uKrjhINV9G6zGgfO1Q5H6KnA4XL1+1EHbzQ2sPjeCyfH7NyEwW+OPlv37mEVgNwdG3dl/b0EAmL2xWexAkio7WM2n7dMPJNlVg9liAOZYn5ZJVPTqAAADPHpUWHRNT0wgcmRraXQgMjAyNC4wMy40AAB4nH1WzW4UTQy85yn6Bbbln263fSQJAoTYSJDvu3JCCAQ33l+Uezc9C2oxSaQZT7Xtssue/Pj29fOX7z8/N7kreX18fP/tV1mXPN7BTv/4jYjyvxLR3YeSN+X+9Zt35/Lw/Or+xfLw9N/5+VPRXtRwhgr/iX31/PThxcLlbTmN2smCepE6TBvhTKV5lRVGykM5WVUWjlG4ejf1sQFqAlsNCW0Gj01HF98AWwK1DsDU4bErde4bYL8AQ2T4TK2JGm+AlsBe4ceUy4ng0q9H/kKOC5tOpBp4r+aiugH6pT7uyh7pUliCdnSiPPzI6C10DC0nqSSGGmygTBkexRanIenVrVnfUWIuTwkNNuGWd4pqku2gUs7lxFVbF5lexbXzjj5r0uLKfRDqw1WoWdumOrtEQKI5bZ6BUGRXKu4XqKpbt0zVhtvYaYSzU5Qagq/sbcdtbDMdICVV1IM0kUStt9ghHT4hNxlAZKKdTWOnJ0arkrOi5SMzNgp12YmeUCeGT2ojY0JNY2yBjDS1OoUjJFwG2tR3BUVn3paeNCwJYZCaiO2KJDlJkH04ab7vHcrbjmaDRgTBVSUy3R7Buw5Jdgjz4eSeM8yY9bZTnRiSbHVEjDnDKKXHlveYbMKE5DIezVGEHTLbY7lfxpz2wZ33NQ+4HFBx81lzzTbtgJrNsQovHRsJyshC7WhrLjmvjBFzTzGFqex6o9kbyMFGYGwwy4Rct2Oh1wEagsGw1CWScN7tBWyAXAw5uDxmfGa2vl2dPb2i7o2huOy9dNsW6fX58Y81flns90/nx2Ox548c67vhbxxLOh/1WMUtTcfCZTxqP/ZqAtYjpJP4Bfd8WexYhJwebrddg4sVmzMxK3Gztxg+/WY5SR7i9dnC4uFpWXQ4U8yDiwJWysWy0sLqaPPoEcmvlkUFq6BNZyt7maXDp3N5lmSb7hcDyYxh0aO8WVAE5MVCsmQIeESXmTMEsHjJzDkQ82aeOAPK4dmvliMfHMiAspjOdqdl8dLZfHzQFy+Vq+XQgF4tK2fNOiOgrJy1Xyx6aNSulsUitXirvHx++XcE93e/AbrGqZ0FpFOLAAACNnpUWHRTTUlMRVMgcmRraXQgMjAyNC4wMy40AAB4nE2Su25UQQyGX4VyI50d+TK+jI+o0qQK9FEKtKIDglDKPDz2BBFLydHY83v8+fc+PTzf8Nft8nh5eni+u798/pKfOv6L/x/r/3Z5/zbxjW6X+x//b9qXKo15/PR2gaFqC4+rDDD2eZwwXBSEjisPyeM6ThrEvioBMEUqMclgHlccgppFPBxWKmAsFpLMSGm1FD6JrCRredbAEKH9qAMzHzimrCTICnbINjiQZwrPOWwtk4OqSV6kYikBVxuanh2PU4cp28wiQ0E/Ths88y7bMFP+lQSd9Ej47M/H6QOnyspnaWkJMMcjnvWswmLfqUkw6xU3N8tMXqKA4B4aVxl05omnEG0gZ8GdQjHwBMoHyporDSMHK5FrdsadW6iUttNIv7xS6U/6VC1hEitWaVoContg4STZqbnYrCqBdOU8Vx0CwOUsq+fMmbLhzrgXQkgLfMsYkxVrv7y2SEDLh7Swus0kyPVlYrIJ74xNpKPQRH1DGtdUuXd+t6AGQKtXEFF1G8XsKlqIar7rcj2U+6mfEMlKh++Ob68vP7/+efkdMOr4+PL6PQEDPyKUoBZpcIss5kdEENIiDG0RhbWIw1s0Y7VIAhsMaWCjIQtsOOSBjYdWYANiCGxEmOKGhCluTMiBDQrThEaFFNSoVlC3CIIa1AxqTGlfQ/KgRqRBDciCOk9Qw8kO3aPgvq8Z3Gg4uMFwhn1jqe0O0dtfBkA8OmeIJjQAAAJ1elRYdHJka2l0UEtMMSByZGtpdCAyMDI0LjAzLjQAAHice79v7T0GIBAAYkYGCFADYnUgbmBkZNAAiTOyOYBoZhZiaZg+QQYFEM3GABHmgNBM7BCamZDx7BCaGZfxGOag2cMGtp4FIY3CRacJSKPTUL/BuNzA4GNky2BiZEpgYs5gYlIFuiOBWYWBhTWDiYVTgZUtgZWDgY2dgZNLg4mTW4Gbh4GbV4FXKIGXL4OJjz+BT5mBXyCDiV+JQUAwQVAog0lQREFImEFElEFETEFMXINJTIJBQpJBQopBQo5BSppBSoZBSpZBTp5BToFBTpHBiQnoCDZGJmYWVjY2Pn4BQSFe8UuMiChlUNO+t+/AgW6zAyCOp/LiA63xF/aD2Fbr0w6cFHoEZpda6h+Yu5ULzOaMDj/wQCHIHsQ2qJx9IKO9FMwWNtl+QPpi+z4Qe///ZwfEOJjA7F+d6w9UThdxALFdnsofMH3CBGbfYPM4cEUyCsy+Obthv5roF7A5tU28+yameYDFjyYd3HchmBssbuUyf7+qjB7YDWpMcvtX7mECu9kqOsHeaxo3mK0med/e9GUJWM3/q332E26dtwOxOw7+tZ+/7gLYnNfK/g731HvAaupdyx36PGXBem/4NDs8bGABqw9UDnE48nQzWH2LxGaHF5MF94DYm1evc7gReACsN7R1u0MH9z6wGs5blx0W5x0Es//O63B49+oZmK32abeDzFw7sF8MnjxyiNssBg6TS29eOGg9MAeriS+/5yDDegls5rtwTsf9apPAaua82bt/mUQg2G0CAkwHlrD5gtXIW6/c73mqBcxe1mt3gMXeA6xGDADU2K58ArvevAAAA2x6VFh0TU9MMSByZGtpdCAyMDI0LjAzLjQAAHicfVbLblw3DN37K/QDFviSSC7jcdAEQcZA63abVVCkSHb5f5TUHetOACJjG7jDe0TykIeUv3/798vX/358EX5o+fnz+dO3n21/6Pkh7PCbX3dv/zAAPHxu+dCe3v/x8dour++e3iyXl7+vr381tsYeZ6Dhr9h3ry+f3yzYPrTH0X3KJGiP1G0QWRzqsD5tx6F2SSS4wdD2iH2SOo4CyYnkPkFERiJ1TnQrkJJI6spqRu0R+hA0lgI5Dp88xRnjvREYVsCZQAkaNiTf+3BwLYB68FEaCJqxaQ6aFdKyRtoJTdETiTTdquDeLt/TqdgYzo06E6pUNUI4qIsbTwskyED1ContJakjZXEadwE1qvJEatcsN4DomA27wzQvo3NSCiJsGHmGcw5OVddxtQg6qypk0KgqSdVLXC3CTgFQyDPTALFMdB5OJyodqoM4M8tMNThFu3WyUyLREOr4Fk5Da0I+Rnr3MadxhfSFRAxpzHgvMEL/leQhyhRlNJLp8TAZmKoeEUaW3InnmGs2wMVLLRGFS+42OcgvAQyd5RRRjpF0BEbOziA5l0NEEgKJ0UCZQRyTjkiZZXZo9CCrwlkhADMrY8/IMmQ8TIYnnwEkdXBdPpUDkZITEy3FSTlFM5YGRJECOBDRyiw9gBLT6AIWQAOBcoQYVpKmzOAxQa7GXHmMhXFpGj0BPpSBojhLZHYnJl0tlka8VzQqlcG82PggUFrLMKcSK6QE0vowTkHkmonFNKhCjhzKLGGsQ86Rj3WEpd44+5Njw0S8Zs2yl5XYWddOwlhFlNOY4uQYkhJrh1tXjWyPpWMms4C+vz7/co8cN8vTy/X5vFnyh87rQ+JPzzsiv/J5EUiazm2P8ZXtXOoJGOfqxsRvZ5Yv2zy3MKaH+10r4WLDMRObze/2JobPHS22I+Uh3PdmbEFclk0HM8U8uCnEUjssm0VUW9bRM5LdLJtK7CJZznb2tEo3osd320WW+82AMuOw8PZDWdAIiJsFZcki4BmdVs5x2WxetHKO4bmfZ8yAdDbObpbNNCRJGZA209XutOx8eDV/RIS72Tospwb4sPDOh7POkQJtFjxuls2C52Hhe4ljBuSdM9vNsnNmv1l2zqnge73m97f/ouL54X9lU8uD+r1PogAAAmZ6VFh0U01JTEVTMSByZGtpdCAyMDI0LjAzLjQAAHicVZK7bhwxDEV/JeUamBX4EklxkcqNKye94SJYpEvsIHDpjw+pDWKm0Yh3ROrwUk8Pz1d8uZ4eT08Pz3f3p89fcqnt6e+nltuv/8Lr6ba2vCtdT/c//v1pK5WMuf30fjrjEGfz48yD1JCPyxmGohEdZxogZHpcYLgpry2hI8zjgsOE1jzy9JqqnolZgXXakTVhybJSXFl3mkxTPC4yEDhvgYG0eHmdYRTVI0FgSlaeYy41qcoA7j5ZS5TpolV7Au1TxhO40lwsb9ehBGwpTERcdRXpEkzBQUAqxY0ZDxrLnFOw5ATePaAY6iqJzBcmn6GTStVdk2B3pQLp1MXHdM72Mo08kancQJw7LZtYlYZjOUnhKAPfbGUzy0owpghJViqnQKyaX1DXFwk7Lj44N0jZeXm3ckRHTWNiZeU/mkJ5poB4K6yyylYncMz7zzJ8Jt1R81lQ0ziniT7nykpMaHMrRmnXbkVnPoDU0gJ0o+1KOuiyz8Fy2PYrWT6EkrLP22x9Et24FESkTpkqbfZlNcoizkluxfK5eVWfgnsMeZyJkPbD4XxWW6L0aHusDoi2UyHPcWleL4OPu+Pb2+vPr79ffwWM2j6+vn0fLIEfEc6gFmlwiyzkIyKI2SIMbRGFtYjDWySxWjQDGwxpYKMhC2w45IGNh1ZgA2IIbESMgQ2JKbAxMQc2KMzKjQpXUKNCDuoeYVA3iYIaVaY2KISgBiVBjSm9bkge1Ig0qAFZcOcJbjgQ3D0KbjCcid2i4O5QTrfRoAR3h+b7H2NrWwLNM+G6AAAAAElFTkSuQmCC", "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "\n", "# mappings can also be saved to file if required\n", "edge.draw_to_file('tyk2_edge.png')\n", "\n", "# load it back for visualisation\n", "Image(\"tyk2_edge.png\")" ] }, { "cell_type": "markdown", "id": "8e119e3e", "metadata": { "id": "8e119e3e" }, "source": [ "### Storing the ligand network\n", "\n", "Created networks can easily be converted to (and also loaded from) a GraphML representation.\n", "\n", "This can allow users of OpenFE to store the network to disk for later use." ] }, { "cell_type": "code", "execution_count": 20, "id": "0be4c1f4", "metadata": { "id": "0be4c1f4" }, "outputs": [], "source": [ "# Convert to graphml\n", "with open(\"network_store.graphml\", \"w\") as writer:\n", " writer.write(mst_network.to_graphml())" ] }, { "cell_type": "markdown", "id": "feb4d54a-01a8-4bbe-ac13-1a15cdb79254", "metadata": {}, "source": [ "## 2.3. Defining the Chemical Systems" ] }, { "cell_type": "markdown", "id": "cc80f3fb", "metadata": { "id": "cc80f3fb" }, "source": [ "`ChemicalSystems` are OpenFE containers which define the various components\n", "in a system of interest. You can consider `ChemicalSystems` to be the nodes\n", "along an alchemical network which are connected by edges which carry out\n", "calculations along Alchemical states to get free energies.\n", "\n", "`ChemicalSystems` take in:\n", "\n", "1. A dictionary of the chemical components (e.g. `SmallMoleculeComponent`,\n", " `ProteinComponent`, `SolventComponent`) defining the system.\n", "\n", "2. An identifier name (optional), for the `ChemicalSystem`. This is used as part\n", " of the hash identifier of the `ChemicalSystem`, and can help distinguish between\n", " otherwise comparable systems." ] }, { "cell_type": "markdown", "id": "f5506f1a", "metadata": { "id": "f5506f1a" }, "source": [ "In the case of a relative ligand binding free energy calculation for `lig_ejm_31` -> `lig_ejm_47`,\n", "four `ChemicalSystems` must be defined:\n", "\n", "1. `lig_ejm_31` in complex with TYK2 in a box of water\n", "\n", "\n", "2. `lig_ejm_47` in complex with TYK2 in a box of water\n", "\n", "\n", "3. `lig_ejm_31` in a box of water\n", "\n", "\n", "4. `lig_ejm_47` in a box of water\n", "\n", "\n", "Here we will be passing the previously defined `SmallMoleculeComponents` for `lig_ejm_31`\n", "and `lig_ejm_47`. We will also pass a `ProteinComponent` generated from the PDB file\n", "present under `inputs/tyk2_protein.pdb`. Finally, instead of passing\n", "in a specific box of water, we will define a `SolventComponent` which will contain\n", "the necessary information for OpenMM's `Modeller` class to add water and 0.15 M NaCl\n", "around the solute when creating the OpenMM simulation objects." ] }, { "cell_type": "code", "execution_count": 21, "id": "0b6c9ec3", "metadata": { "id": "0b6c9ec3" }, "outputs": [], "source": [ "# First let's define the Protein and Solvent Components which we will be using\n", "from openfe import SolventComponent, ProteinComponent\n", "from openff.units import unit\n", "\n", "protein = ProteinComponent.from_pdb_file('inputs/tyk2_protein.pdb')\n", "\n", "# Note: the distance from the solute to add water is not defined here but in the\n", "# the relevant RBFE solver method\n", "solvent = SolventComponent(positive_ion='Na', negative_ion='Cl',\n", " neutralize=True, ion_concentration=0.15*unit.molar)" ] }, { "cell_type": "code", "execution_count": 22, "id": "8c6d6504", "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 317 }, "id": "8c6d6504", "outputId": "47026705-938a-4e62-f1af-66e9c50334aa" }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Extract the relevant edge for the lig_ejm_31 -> lig_ejm_47 transform in the radial graph\n", "ejm_31_to_ejm_47 = [edge for edge in mst_network.edges if edge.componentB.name == \"lig_ejm_47\"][0]\n", "\n", "ejm_31_to_ejm_47" ] }, { "cell_type": "code", "execution_count": 23, "id": "23b778d6", "metadata": { "id": "23b778d6" }, "outputs": [], "source": [ "# Let's create the four ChemicalSystems\n", "from openfe import ChemicalSystem\n", "\n", "ejm_31_complex = ChemicalSystem({'ligand': ejm_31_to_ejm_47.componentA,\n", " 'solvent': solvent,\n", " 'protein': protein,},\n", " name=ejm_31_to_ejm_47.componentA.name)\n", "ejm_31_solvent = ChemicalSystem({'ligand': ejm_31_to_ejm_47.componentA,\n", " 'solvent': solvent,},\n", " name=ejm_31_to_ejm_47.componentA.name)\n", "\n", "ejm_47_complex = ChemicalSystem({'ligand': ejm_31_to_ejm_47.componentB,\n", " 'solvent': solvent,\n", " 'protein': protein,},\n", " name=ejm_31_to_ejm_47.componentB.name)\n", "ejm_47_solvent = ChemicalSystem({'ligand': ejm_31_to_ejm_47.componentB,\n", " 'solvent': solvent,},\n", " name=ejm_31_to_ejm_47.componentB.name)" ] }, { "cell_type": "markdown", "id": "1702be9c-a30d-43dc-a291-fefab56a4433", "metadata": {}, "source": [ "## 2.4. Defining the RBFE simulation settings and protocol" ] }, { "cell_type": "markdown", "id": "d795f993", "metadata": { "id": "d795f993" }, "source": [ "Now that we have a set of atom mappings defined, we know which atoms should\n", "undergo alchemical transformations to capture the free energy cost of\n", "transforming from one ligand to another.\n", "\n", "To simulate this transformation, we use the equilibrium RBFE protocol\n", "implemented in OpenFE. This uses OpenMM to run a Perses-like relative\n", "ligand binding free energy calculation using a single topology approach.\n", "\n", "To achieve this simulation, the following steps need to happen:\n", "\n", "1. Create OpenMM systems of both end states\n", "\n", "\n", "2. Create a hybrid topology based on these defined end states\n", "\n", "\n", "3. Set an appropriate Lambda schedule\n", "\n", "\n", "4. Set a MultiState reporter to write out appropriate coordinates and energies\n", "\n", "\n", "5. Create an OpenMM sampler (in this case we will be using a replica exchange sampler)\n", "\n", "\n", "6. Carry out the necessary simulation steps (minimization, equilibration, and production)\n", "\n", "\n", "The `RelativeHybridTopologyProtocol` class in `openfe.protocols.openmm_rfe`\n", "implements a means to achieve all the above with minimal intervention.\n", "\n", "Here we work through its usage for the `lig_ejm_31` -> `lig_ejm_47` binding free energy\n", "test case. As this involves both a relative binding free energy in solvent\n", "and complex phases, `RelativeHybridTopologyProtocol` will\n", "be used to build two separate `ProtocolDAG` (directed-acyclic-graph) classes, one for each phase.\n", "These `DAG`s (which contain the necessary individual simulations), are then executed to yield\n", "the desired free energy results.\n", "\n", "**Note: the underlying components used for the creation of OpenMM hybrid\n", "topologies and samplers is still in flux, originating mostly from Perses.\n", "Please consider these to be in beta.**" ] }, { "cell_type": "markdown", "id": "fdfc694f", "metadata": { "id": "fdfc694f" }, "source": [ "### Defining the RBFE simulation settings\n", "\n", "There are various parameters which can be set to determine\n", "how the RBFE simulation will take place. To allow for maximum user flexibility, these are defined as a series of settings objects which control the following:\n", "\n", "1. `protocol_repeats`: The number of completely independent repeats of the entire sampling process.\n", "\n", "2. `simulation_settings`: Parameters controling the simulation plan and the alchemical sampler, including the number of minimization steps, lengths of equilibration and production runs, the sampler method (e.g. Hamiltonian replica exchange, `repex`), and the time interval at which to perform an analysis of the free energies.\n", "\n", "3. `output_settings`: Simulation output control settings, including the frequency to write a checkpoint file, the selection string for which part of the system to write coordinates for, and the paths to the trajectory and output structure storage files.\n", "\n", "4. `alchemical_settings`: Parameters controlling the creation of the hybrid topology system. This includes various parameters ranging from softcore parameters, through to whether or not to apply an explicit charge correction for systems with net charge changes.\n", "\n", "5. `engine_settings`: Parameters determining how the OpenMM engine will execute the simulation. This controls the compute platform which will be used to carry out the simulation.\n", "\n", "6. `integrator_settings`: Parameters controlling the `LangevinSplittingDynamicsMove` integrator used for simulation.\n", "\n", "7. `lambda_settings`: Lambda protocol settings, including number of lambda windows and lambda functions.\n", "\n", "8. `forcefield_settings`: Parameters to set up the force field with OpenMM Force Fields, including the general force fields, the small molecule force field, the nonbonded method, and the nonbonded cutoff.\n", "\n", "9. `thermo_settings`: Settings for thermodynamic parameters, such as the temperature and the pressure of the system.\n", "\n", "10. `solvation_settings`: Settings for solvating the system, including the solvent model and the solvent padding.\n", "\n", "11. `partial_charge_settings`: Settings for assigning partial charges to small molecules, including the partial charge method (e.g. `am1bcc`) and the OpenFF toolkit backend (e.g. `ambertools` or `openeye`)." ] }, { "cell_type": "markdown", "id": "d7c8ab9e-0185-40d7-a441-7a4cd948dda9", "metadata": {}, "source": [ "The `RelativeHybridTopologyProtocol` class can directly populate the above set of default\n", "settings through its `default_settings` method.\n", "Parameters can be overriden after creation.\n", "In this case, we'll reduce the equilibration length to 0.01 * nanosecond\n", "and the production to 0.05 * nanosecond in order to reduce the costs of\n", "running this notebook (in practice, values of 1 and 5 nanoseconds,\n", "respectively, would be most appropriate)." ] }, { "cell_type": "code", "execution_count": 24, "id": "309c059b-85c7-4911-a417-69889a474fe1", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'early_termination_target_error': ,\n", " 'equilibration_length': ,\n", " 'minimization_steps': 5000,\n", " 'n_replicas': 11,\n", " 'production_length': ,\n", " 'real_time_analysis_interval': ,\n", " 'real_time_analysis_minimum_time': ,\n", " 'sampler_method': 'repex',\n", " 'sams_flatness_criteria': 'logZ-flatness',\n", " 'sams_gamma0': 1.0,\n", " 'time_per_iteration': }\n" ] } ], "source": [ "from openfe.protocols.openmm_rfe import RelativeHybridTopologyProtocol\n", "from openff.units import unit\n", "\n", "# Create the default settings\n", "rbfe_settings = RelativeHybridTopologyProtocol.default_settings()\n", "\n", "rbfe_settings.simulation_settings.equilibration_length = 10 * unit.picosecond # Reduce equilibration length to 10 picoseconds\n", "rbfe_settings.simulation_settings.production_length = 50 * unit.picosecond # Reduce prodution length to 50 picoseconds\n", "\n", "rbfe_settings.simulation_settings" ] }, { "cell_type": "markdown", "id": "ab0eaea9", "metadata": { "id": "ab0eaea9" }, "source": [ "### Creating the RFE Protocol\n", "\n", "With the Settings inspected and adjusted, we can provide these to the Protocol.\n", "This Protocol defines the procedure to estimate a free energy difference between two chemical systems,\n", "with the details of the two end states yet to be defined." ] }, { "cell_type": "code", "execution_count": 25, "id": "d1829ab6", "metadata": { "id": "d1829ab6" }, "outputs": [], "source": [ "# Create RBFE Protocol class\n", "rbfe_protocol = RelativeHybridTopologyProtocol(\n", " settings=rbfe_settings\n", ")" ] }, { "cell_type": "markdown", "id": "075cad59-5b65-42cf-a900-1df5a2de67f1", "metadata": {}, "source": [ "# 3. Running a Relative Ligand Binding Free Energy Calculation" ] }, { "cell_type": "markdown", "id": "06d9d8a4-d570-42ea-9936-222b5e1728b2", "metadata": {}, "source": [ "## 3.0 Creating the Transformations\n", "\n", "Once we have the ChemicalSystems and the Protocol, we can create the Transformation.\n", "\n", "The `Transformation` requires as input:\n", "\n", "* the two `ChemicalSystem` objects defining either end of the alchemical transformation (`stateA` and `stateB`)\n", "* a mapping between the two systems\n", "* the protocol\n", "* a name (optional)\n", "\n", "As previously detailed, we create two sets of transformations for the complex and the solvent legs of the thermodynamic cycle." ] }, { "cell_type": "code", "execution_count": 26, "id": "853d6eef-e716-4284-b02f-8b06f2beb916", "metadata": {}, "outputs": [], "source": [ "transformation_complex = openfe.Transformation(\n", " stateA=ejm_31_complex,\n", " stateB=ejm_47_complex,\n", " mapping=ejm_31_to_ejm_47,\n", " protocol=rbfe_protocol, # use protocol created above\n", " name=f\"{ejm_31_complex.name}_{ejm_47_complex.name}_complex\"\n", " )\n", "transformation_solvent = openfe.Transformation(\n", " stateA=ejm_31_solvent,\n", " stateB=ejm_47_solvent,\n", " mapping=ejm_31_to_ejm_47,\n", " protocol=rbfe_protocol, # use protocol created above\n", " name=f\"{ejm_31_solvent.name}_{ejm_47_solvent.name}_solvent\"\n", " )" ] }, { "cell_type": "markdown", "id": "026ad9fc-635f-44d2-937c-bbc58edf64da", "metadata": {}, "source": [ "## 3.1. Using the Python API" ] }, { "cell_type": "markdown", "id": "7fd71a0e-7bf6-4529-961b-be8dfa7bbbce", "metadata": {}, "source": [ "### Creating the `ProtocolDAG`" ] }, { "cell_type": "markdown", "id": "0e2e7d25-5bb6-4344-963d-8cf5298982b4", "metadata": {}, "source": [ "With the `Transformation` defined, we can move onto creating the `ProtocolDAG`.\n", "\n", "The `Transformation.create()` method creates a directed-acyclic-graph (DAG) of computational tasks necessary for creating an estimate of the free energy difference between the two chemical systems." ] }, { "cell_type": "code", "execution_count": 27, "id": "77e72e9a-bac0-4059-b0bf-96c15c9b2696", "metadata": {}, "outputs": [], "source": [ "complex_dag = transformation_complex.create()\n", "\n", "solvent_dag = transformation_solvent.create()" ] }, { "cell_type": "markdown", "id": "051fb438-1ab0-4d3f-9615-4b2caff9a9b2", "metadata": {}, "source": [ "The individual pieces of computational work are called Units. In this particular Protocol, the Units defined are three independent repeats of the alchemical transformation.\n", "\n", "For other Protocols, for example non-equilibrium sampling routines, there might be dependencies between the tasks." ] }, { "cell_type": "markdown", "id": "7f5c142d", "metadata": { "id": "7f5c142d" }, "source": [ "### Simulating the RelativeLigandTransforms\n", "\n", "Individual Units can then be executed by calling the `.execute()` method.\n", "\n", "In the first instance we do a dry-run (which does everything but\n", "starting the simulation) to make sure that the\n", "hybrid OpenMM system can be constructed without any issues.\n", "Note: A successful call to `.run()` will return an empty Dictionary." ] }, { "cell_type": "code", "execution_count": 28, "id": "981cde0c", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "981cde0c", "outputId": "812389bc-3730-416b-8154-79e0e1fb4346", "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:\tPreparing the hybrid topology simulation\n", "INFO:\tParameterizing molecules\n", "INFO:\tRequested to generate parameters for residue \n", "INFO:\tRequested to generate parameters for residue \n", "INFO:\tCreating hybrid system\n", "INFO:\tSetting force field terms\n", "INFO:\tAdding forces\n", "INFO:\tHybrid system created\n", "WARNING:\tWarning: The openmmtools.multistate API is experimental and may change in future releases\n", "/Users/users_name/miniforge3/envs/openfe_env/lib/python3.12/site-packages/mdtraj/core/topology.py:84: UserWarning: atom_indices are not monotonically increasing\n", " warnings.warn(\"atom_indices are not monotonically increasing\")\n", "/Users/users_name/miniforge3/envs/openfe_env/lib/python3.12/site-packages/openfe/protocols/openmm_rfe/_rfe_utils/compute.py:56: UserWarning: Non-GPU platform selected: CPU, this may significantly impact simulation performance\n", " warnings.warn(wmsg)\n", "WARNING:\tNon-GPU platform selected: CPU, this may significantly impact simulation performance\n", "INFO:\tCreating and setting up the sampler\n", "WARNING:\tWarning: The openmmtools.multistate API is experimental and may change in future releases\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Please cite the following:\n", "\n", " Friedrichs MS, Eastman P, Vaidyanathan V, Houston M, LeGrand S, Beberg AL, Ensign DL, Bruns CM, and Pande VS. Accelerating molecular dynamic simulations on graphics processing unit. J. Comput. Chem. 30:864, 2009. DOI: 10.1002/jcc.21209\n", " Eastman P and Pande VS. OpenMM: A hardware-independent framework for molecular simulations. Comput. Sci. Eng. 12:34, 2010. DOI: 10.1109/MCSE.2010.27\n", " Eastman P and Pande VS. Efficient nonbonded interactions for molecular dynamics on a graphics processing unit. J. Comput. Chem. 31:1268, 2010. DOI: 10.1002/jcc.21413\n", " Eastman P and Pande VS. Constant constraint matrix approximation: A robust, parallelizable constraint method for molecular simulations. J. Chem. Theor. Comput. 6:434, 2010. DOI: 10.1021/ct900463w\n", " Chodera JD and Shirts MR. Replica exchange and expanded ensemble simulations as Gibbs multistate: Simple improvements for enhanced mixing. J. Chem. Phys., 135:194110, 2011. DOI:10.1063/1.3660669\n", " \n" ] }, { "data": { "text/plain": [ "{'debug': {'sampler': }}" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# complex dry-run\n", "complex_unit = list(complex_dag.protocol_units)[0]\n", "\n", "complex_unit.run(dry=True, verbose=True)" ] }, { "cell_type": "code", "execution_count": 29, "id": "77accb06", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "77accb06", "outputId": "e0b977c0-7e72-4a49-d3ea-eb0cdb85ed5d", "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:\tPreparing the hybrid topology simulation\n", "INFO:\tParameterizing molecules\n", "INFO:\tRequested to generate parameters for residue \n", "INFO:\tRequested to generate parameters for residue \n", "INFO:\tCreating hybrid system\n", "INFO:\tSetting force field terms\n", "INFO:\tAdding forces\n", "INFO:\tHybrid system created\n", "WARNING:\tWarning: The openmmtools.multistate API is experimental and may change in future releases\n", "/Users/users_name/miniforge3/envs/openfe_env/lib/python3.12/site-packages/mdtraj/core/topology.py:84: UserWarning: atom_indices are not monotonically increasing\n", " warnings.warn(\"atom_indices are not monotonically increasing\")\n", "/Users/users_name/miniforge3/envs/openfe_env/lib/python3.12/site-packages/openfe/protocols/openmm_rfe/_rfe_utils/compute.py:56: UserWarning: Non-GPU platform selected: CPU, this may significantly impact simulation performance\n", " warnings.warn(wmsg)\n", "WARNING:\tNon-GPU platform selected: CPU, this may significantly impact simulation performance\n", "INFO:\tCreating and setting up the sampler\n", "WARNING:\tWarning: The openmmtools.multistate API is experimental and may change in future releases\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Please cite the following:\n", "\n", " Friedrichs MS, Eastman P, Vaidyanathan V, Houston M, LeGrand S, Beberg AL, Ensign DL, Bruns CM, and Pande VS. Accelerating molecular dynamic simulations on graphics processing unit. J. Comput. Chem. 30:864, 2009. DOI: 10.1002/jcc.21209\n", " Eastman P and Pande VS. OpenMM: A hardware-independent framework for molecular simulations. Comput. Sci. Eng. 12:34, 2010. DOI: 10.1109/MCSE.2010.27\n", " Eastman P and Pande VS. Efficient nonbonded interactions for molecular dynamics on a graphics processing unit. J. Comput. Chem. 31:1268, 2010. DOI: 10.1002/jcc.21413\n", " Eastman P and Pande VS. Constant constraint matrix approximation: A robust, parallelizable constraint method for molecular simulations. J. Chem. Theor. Comput. 6:434, 2010. DOI: 10.1021/ct900463w\n", " Chodera JD and Shirts MR. Replica exchange and expanded ensemble simulations as Gibbs multistate: Simple improvements for enhanced mixing. J. Chem. Phys., 135:194110, 2011. DOI:10.1063/1.3660669\n", " \n" ] }, { "data": { "text/plain": [ "{'debug': {'sampler': }}" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# solvent dry-run\n", "solvent_unit = list(solvent_dag.protocol_units)[0]\n", "\n", "solvent_unit.run(dry=True, verbose=True)" ] }, { "cell_type": "markdown", "id": "ceba2266-8ad5-4205-96df-4b6403fc3b50", "metadata": {}, "source": [ "## 3.2. Using the CLI\n", "\n", "Even when using the Python API to set up the RBFE calculations, you can dump all `Transformation`s to a JSON file and run the calculations using the `openfe quickrun` command. Here, we will show you how to save the `Transformation`s to the JSON file." ] }, { "cell_type": "markdown", "id": "043672e9-20e5-4b2c-8977-cca0e2ddf23e", "metadata": {}, "source": [ "We’ll write out the transformation to disk, so that it can be run using the `openfe quickrun` command:" ] }, { "cell_type": "code", "execution_count": 30, "id": "12d35b4c-b737-4c3c-9fda-dc387aaa6915", "metadata": {}, "outputs": [], "source": [ "import pathlib\n", "# first we create the directory\n", "transformation_dir = pathlib.Path(\"tyk2_json\")\n", "transformation_dir.mkdir(exist_ok=True)\n", "\n", "# then we write out the transformations\n", "transformation_complex.dump(transformation_dir / f\"{transformation_complex.name}.json\")\n", "transformation_solvent.dump(transformation_dir / f\"{transformation_solvent.name}.json\")" ] }, { "cell_type": "markdown", "id": "05d4c16c-1d16-4ef1-a1b3-2eec6275c778", "metadata": {}, "source": [ "You can run the RBFE simulations from the CLI by using the `openfe quickrun` command, as described in Section 5. below." ] }, { "cell_type": "markdown", "id": "e07d1e29", "metadata": { "id": "e07d1e29" }, "source": [ "# 4. Analysis" ] }, { "cell_type": "markdown", "id": "2accbbd1", "metadata": { "id": "2accbbd1" }, "source": [ "Finally now that we've \"run\" our simulations, let's go ahead and gather the free energies for both phases. \n", "First we will take a look at the way to do this using our python api, then we will show how to use our `openfe gather` command on pre-computed results.\n", "\n", "## 4.1 Analysis - Python API\n", "\n", "We can use the python API to gather the free energies for both phases by passing the results of executing the DAGs and calling the `gather()` methods of `RelativeLigandTransform`.\n", "This takes a **list** of completed DAG results, catering for when simulations have been extended." ] }, { "cell_type": "markdown", "id": "f69eb5cb-88ce-4e11-b05e-5591a2ed66c2", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "fd1332db", "outputId": "5b7d8379-d10d-4bf7-eb32-527998843e91", "tags": [ "nbval-skip" ] }, "source": [ "For production use we recommend saving the transformations to disk and using `openfe quickrun` to run them in an HPC environment, but for completeness, below is a python snippet that will run the transformations we defined earlier and then analyze the results. \n", "\n", "``` python\n", "# Finally we can run the simulations\n", "complex_path = pathlib.Path('./complex')\n", "complex_path.mkdir()\n", "\n", "# First the complex transformation\n", "complex_dag_results = execute_DAG(complex_dag, scratch_basedir=complex_path, shared_basedir=complex_path)\n", "\n", "# Next the solvent state transformation\n", "solvent_path = pathlib.Path('./solvent')\n", "solvent_path.mkdir()\n", "\n", "solvent_dag_results = execute_DAG(solvent_dag, scratch_basedir=solvent_path, shared_basedir=solvent_path)\n", "\n", "# Get the complex and solvent results\n", "complex_results = rbfe_protocol.gather([complex_dag_results])\n", "solvent_results = rbfe_protocol.gather([solvent_dag_results])\n", "\n", "print(f\"Complex dG: {complex_results.get_estimate()}, err {complex_results.get_uncertainty()}\")\n", "print(f\"Solvent dG: {solvent_results.get_estimate()}, err {solvent_results.get_uncertainty()}\")\n", "```" ] }, { "cell_type": "markdown", "id": "d53f72e1-ebec-4cad-8054-1746e1e79074", "metadata": {}, "source": [ "## 4.2 Analysis - `openfe gather`\n", "\n", "First we will download some TYK2 transformations we already ran. These results are from an entire TYK2 network and not a single edge. " ] }, { "cell_type": "code", "execution_count": 31, "id": "059068d3-d9e2-4923-80ca-c2989a559d1f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Fetching /Users/users_name/miniforge3/envs/openfe_env/lib/python3.12/site-packages/openfecli/tests/data/rbfe_results.tar.gz\n" ] } ], "source": [ "# Results from our cli tutorial\n", "locale.getpreferredencoding = lambda: \"UTF-8\" # hack for google colab, not needed for local execution\n", "!openfe fetch rbfe-tutorial-results\n", "# Extract results\n", "!tar -xf rbfe_results.tar.gz" ] }, { "cell_type": "markdown", "id": "9fe99e84-1857-47a5-adea-bf0983e8a750", "metadata": {}, "source": [ "Now we can use the `openfe gather` command to look at the results (see section 5.3 for more details)" ] }, { "cell_type": "code", "execution_count": 32, "id": "ab9f2cca-8458-4515-a64a-20370151e1a5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "ligand\tDG(MLE) (kcal/mol)\tuncertainty (kcal/mol)\n", "lig_ejm_31\t-0.09\t0.05\n", "lig_ejm_42\t0.7\t0.1\n", "lig_ejm_46\t-0.98\t0.05\n", "lig_ejm_47\t-0.1\t0.1\n", "lig_ejm_48\t0.53\t0.09\n", "lig_ejm_50\t0.91\t0.06\n", "lig_ejm_43\t2.0\t0.2\n", "lig_jmc_23\t-0.68\t0.09\n", "lig_jmc_27\t-1.1\t0.1\n", "lig_jmc_28\t-1.25\t0.08\n" ] } ], "source": [ "!openfe gather results/ --report dg -o final_results.tsv\n", "!cat final_results.tsv" ] }, { "cell_type": "markdown", "id": "524015c7-6c42-4b84-98b9-361c17945fbe", "metadata": {}, "source": [ "# 5. Relative Free Energies with the OpenFE CLI" ] }, { "cell_type": "markdown", "id": "11074a41-2827-48c5-9493-e0e4e2d94838", "metadata": {}, "source": [ "You can also do all the above using the OpenFE command line interface – with no Python at all!\n", "\n", "The entire process of running the campaign of simulations is split into 3 stages; each of which corresponds to a CLI command:\n", "\n", "1. Setting up the necessary files to describe each of the individual simulations to run.\n", "\n", "2. Running the simulations.\n", "\n", "3. Gathering the results of separate simulations into a single table.\n", "\n", "For more details, please visit our tutorial: [Relative binding free energies with the OpenFE CLI](https://docs.openfree.energy/en/latest/tutorials/rbfe_cli_tutorial.html)." ] }, { "cell_type": "markdown", "id": "68cc5f26-71e2-4135-b72b-6c5a4a1d4072", "metadata": {}, "source": [ "## 5.1. Setup\n", "\n", "The setup, as described above, can also be carried out using the CLI command `openfe plan-rbfe-network`.\n", "\n", "`openfe plan-rbfe-network -M inputs/tyk2_ligands.sdf -p inputs/tyk2_protein.pdb -o tyk2_json/`\n", "\n", "This command plans a relative binding free energy network and saves it as JSON files for the `openfe quickrun` command.\n", "\n", "By default, this tool makes the following choices:\n", "\n", "* Atom mappings performed by LOMAP, with settings `max3d=1.0` and\n", " `element_change=False`\n", "* Minimal spanning network as the network planner, with LOMAP default score as the weight function\n", "* Water as solvent, with NaCl counter ions at 0.15 M concentration.\n", "* Protocol is the OpenMM-based relative hybrid topology protocol, with default settings.\n", "\n", "These choices can be customized by creating a settings yaml file, which is\n", "passed in via the ``-s settings.yaml`` option. For more details, please visit our user guide section about [Customising CLI planning with yaml settings](https://docs.openfree.energy/en/latest/guide/cli/cli_yaml.html)" ] }, { "cell_type": "markdown", "id": "26fef157-6989-406d-b719-0ed597ef820e", "metadata": {}, "source": [ "## 5.2. Execution\n", "\n", "You can run each leg individually by using the `openfe quickrun` command. It takes a transformation JSON as input, and the flags `-o` to give the final output JSON file and `-d` for the directory where simulation results should be stored. For example,\n", "\n", "`openfe quickrun tyk2_json/lig_ejm_31_lig_ejm_47_complex.json -o results_complex.json -d working-directory`\n", "\n", "`openfe quickrun tyk2_json/lig_ejm_31_lig_ejm_47_solvent.json -o results_solvent.json -d working-directory`\n", "\n", "## 5.3. Analysis\n", "\n", "To gather the \n", " estimates into a single file, use the `openfe gather` command from within the working directory used above:\n", "\n", "`openfe gather results/ --report dg -o final_results.tsv`\n", "\n", "This will write out a tab-separated table of results, where the results reported are controlled by the `--report` option:\n", "\n", "* `dg` (default) reports the ligand and the results are the maximum likelihood estimate of its absolute free, and the associated uncertainty from DDG replica averages and standard deviations.\n", "\n", "* `ddg` reports pairs of ligand_i and ligand_j, the calculated relative free energy DDG(i->j) = DG(j) - DG(i) and its uncertainty.\n", "\n", "* `raw` reports the raw results, giving the leg (vacuum, solvent, or complex), ligand_i, ligand_j, the raw DG(i->j) associated with it." ] }, { "cell_type": "markdown", "id": "c3a26c6b-c958-4607-a191-f84c626d2db1", "metadata": {}, "source": [ "# 6. Useful References for Getting Started" ] }, { "cell_type": "markdown", "id": "2dc92d40-5a28-404f-bbff-5081cec5f995", "metadata": {}, "source": [ "In our [documentation](https://docs.openfree.energy/en/latest/index.html), \n", "we provide tutorials for ever protocol to walk you through setup, execution and analysis step by step.\n", "\n", "* [RBFE CLI tutorial](https://docs.openfree.energy/en/latest/tutorials/rbfe_cli_tutorial.html)\n", "* [RBFE Python tutorial](https://docs.openfree.energy/en/latest/tutorials/rbfe_python_tutorial.html)\n", "* [AHFE tutorial](https://docs.openfree.energy/en/latest/tutorials/ahfe_tutorial.html)\n", "* [MD tutorial](https://docs.openfree.energy/en/latest/tutorials/md_tutorial.html)\n", "\n", "In addition to the tutorials, you can find [cookbooks](https://docs.openfree.energy/en/latest/cookbook/index.html), written as How-to guides on how to utilize different components of the toolkit, as well as a [User Guide](https://docs.openfree.energy/en/latest/guide/index.html) that goes into the underlying concepts of the OpenFE toolkit.\n", "\n", "For details about the toolkit's core methods and classes, please visit our [API Reference](https://docs.openfree.energy/en/latest/reference/index.html) or our [Github page](https://github.com/OpenFreeEnergy/openfe).\n", "\n", "To learn more about the project, our team and how you can get involved, please visit our [Homepage](https://openfree.energy/) or get in touch at OpenFreeEnergy@omsf.io." ] } ], "metadata": { "accelerator": "GPU", "colab": { "gpuType": "T4", "provenance": [] }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.12.4" } }, "nbformat": 4, "nbformat_minor": 5 }