diff --git a/showcase/OFE-color-horizontal.png b/showcase/images/OFE-color-horizontal.png similarity index 100% rename from showcase/OFE-color-horizontal.png rename to showcase/images/OFE-color-horizontal.png diff --git a/showcase/images/cli_workflow.png b/showcase/images/cli_workflow.png new file mode 100644 index 00000000..51119f9b Binary files /dev/null and b/showcase/images/cli_workflow.png differ diff --git a/showcase/images/ecosystem.png b/showcase/images/ecosystem.png new file mode 100644 index 00000000..c03184da Binary files /dev/null and b/showcase/images/ecosystem.png differ diff --git a/showcase/images/free_energy_campaign.png b/showcase/images/free_energy_campaign.png new file mode 100644 index 00000000..092202d3 Binary files /dev/null and b/showcase/images/free_energy_campaign.png differ diff --git a/showcase/images/hrex.jpg b/showcase/images/hrex.jpg new file mode 100644 index 00000000..162d73c5 Binary files /dev/null and b/showcase/images/hrex.jpg differ diff --git a/showcase/images/hybrid_topology.png b/showcase/images/hybrid_topology.png new file mode 100644 index 00000000..83584b77 Binary files /dev/null and b/showcase/images/hybrid_topology.png differ diff --git a/showcase/images/lambda_scaling.png b/showcase/images/lambda_scaling.png new file mode 100644 index 00000000..81acae36 Binary files /dev/null and b/showcase/images/lambda_scaling.png differ diff --git a/showcase/images/openfe_workflow.png b/showcase/images/openfe_workflow.png new file mode 100644 index 00000000..097b2a35 Binary files /dev/null and b/showcase/images/openfe_workflow.png differ diff --git a/showcase/images/rbfe_thermocycle.png b/showcase/images/rbfe_thermocycle.png new file mode 100644 index 00000000..4c518d20 Binary files /dev/null and b/showcase/images/rbfe_thermocycle.png differ diff --git a/showcase/tyk2.png b/showcase/images/tyk2.png similarity index 100% rename from showcase/tyk2.png rename to showcase/images/tyk2.png diff --git a/showcase/images/tyk2_edge.png b/showcase/images/tyk2_edge.png new file mode 100644 index 00000000..93096cc1 Binary files /dev/null and b/showcase/images/tyk2_edge.png differ diff --git a/showcase/images/workflow.png b/showcase/images/workflow.png new file mode 100644 index 00000000..cdb3ee7d Binary files /dev/null and b/showcase/images/workflow.png differ diff --git a/showcase/openfe_showcase.ipynb b/showcase/openfe_showcase.ipynb index 6fe9a7eb..6a2b3f6f 100644 --- a/showcase/openfe_showcase.ipynb +++ b/showcase/openfe_showcase.ipynb @@ -3,61 +3,58 @@ { "cell_type": "markdown", "id": "cb0d308b-8f50-4ac9-a8a3-550d8a2e3feb", - "metadata": { - "jp-MarkdownHeadingCollapsed": true - }, + "metadata": {}, "source": [ - " \n", + " \n", "\n", "# OpenFE Showcase: Relative Binding Free Energies in the TYK2 System" ] }, { "cell_type": "markdown", - "id": "8eea1a56-3241-4ccf-9d3a-88de6bbf0e0e", + "id": "f347f95a-ce31-4d2f-958e-0a6e33374dea", "metadata": {}, "source": [ - "# Intro\n", - "\n", - "Welcome to the Open Free Energy toolkit!\n", + "## Introduction\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", + "Welcome to the Open Free Energy toolkit! **openfe** is an open-source package for planning, running and analyzing alchemical free energy calculations.\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", + "In this showcase we calculate relative binding free energies (RBFEs) for a congeneric series of ligands binding to tyrosine kinase 2 (TYK2), using the Relative Hybrid Topology Protocol. Along the way, we introduce the main building blocks of **openfe** and the choices you can make at each step, 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 using a hybrid topology approach. However, OpenFE provides a wide range of protocols for:\n", - "- [Absolute binding free energy calculations](https://docs.openfree.energy/en/latest/tutorials/abfe_tutorial.html)\n", - "- [Absolute hydration free energy calculations](https://docs.openfree.energy/en/latest/tutorials/ahfe_tutorial.html)\n", - "- [Molecular Dynamics (MD) simulations](https://docs.openfree.energy/en/latest/tutorials/md_tutorial.html)\n", - "- [Relative binding free energy calculations using a Separated Topologies (SepTop) approach](https://docs.openfree.energy/en/latest/tutorials/septop_tutorial.html)\n", + "
\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." + "**Other protocols:** This showcase focuses on relative binding free energy (RBFE) calculations using a hybrid topology approach. **openfe** also provides protocols for:\n", + "\n", + "- [Relative binding free energy calculations using a Separated Topologies (SepTop) approach](https://docs.openfree.energy/en/stable/tutorials/septop_tutorial.html)\n", + "- [Absolute binding free energy calculations](https://docs.openfree.energy/en/stable/tutorials/abfe_tutorial.html)\n", + "- [Absolute hydration free energy calculations](https://docs.openfree.energy/en/stable/tutorials/ahfe_tutorial.html)\n", + "- [Molecular dynamics (MD) simulations](https://docs.openfree.energy/en/stable/tutorials/md_tutorial.html)" ] }, { "cell_type": "markdown", - "id": "28f40a29-4ddd-4f25-8c08-154bb3139bb3", + "id": "b74dcaf2-5fae-4bff-bd76-e7aa7c2be213", "metadata": {}, "source": [ - "# Outline\n", + "## 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" + "0. Setup for Google Colab\n", + "1. Overview\n", + "2. Background: hybrid topology RBFEs\n", + "3. The TYK2 inputs\n", + "4. Assigning partial charges\n", + "5. Atom mappings and scoring\n", + "6. Ligand networks\n", + "7. Protocol settings\n", + "8. Creating transformations\n", + "9. Running the calculations\n", + "10. Results\n", + "11. Analysing results with cinnabar\n", + "12. Next steps" ] }, { @@ -97,7 +94,7 @@ " \n", " !pip install -q condacolab\n", " import condacolab\n", - " condacolab.install_from_url(\"https://github.com/OpenFreeEnergy/openfe/releases/download/v1.7.0/OpenFEforge-1.7.0-Linux-x86_64.sh\")" + " condacolab.install_from_url(\"https://github.com/OpenFreeEnergy/openfe/releases/download/v1.13.0/OpenFEforge-1.13.0-Linux-x86_64.sh\")" ] }, { @@ -141,340 +138,238 @@ }, { "cell_type": "markdown", - "id": "0eaea8f6", - "metadata": { - "id": "0eaea8f6" - }, + "id": "8421015e-4d1e-4206-9d79-db9204e083bd", + "metadata": {}, "source": [ - "# 1. Overview\n", + "## 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", + "An **openfe** calculation has three stages:\n", "\n", - "For convenience, a prepared (capped and protonated) PDB structure of the\n", - "TYK2 protein is provided under `inputs/tyk2_protein.pdb`. " + "1. **Setup**: load the protein and ligands, decide which ligand pairs to compare, and define how each transformation is simulated.\n", + "2. **Run**: execute the simulations, usually on GPUs.\n", + "3. **Gather**: combine the simulation outputs into free energy estimates and analyze them.\n", + "\n", + "Each stage can be carried out with the Python API or with the command line interface (CLI). This notebook uses the Python API for planning, and the CLI for running and gathering, which is how most production campaigns are run.\n", + "\n", + "\n", + "\n", + "
\n", + "\n", + "**Which protocol?** The Relative Hybrid Topology Protocol used here works best for ligands that share a common core, such as this TYK2 series. For chemically diverse ligands, such as scaffold hops, the Separated Topologies Protocol is usually a better choice. See [Choosing a protocol](https://docs.openfree.energy/en/stable/guide/protocols/index.html).\n", + "\n", + "**Tutorials for the other protocols:** [Separated Topologies](https://docs.openfree.energy/en/stable/tutorials/septop_tutorial.html) · [Absolute binding](https://docs.openfree.energy/en/stable/tutorials/abfe_tutorial.html) · [Absolute hydration](https://docs.openfree.energy/en/stable/tutorials/ahfe_tutorial.html) · [Molecular dynamics](https://docs.openfree.energy/en/stable/tutorials/md_tutorial.html)\n", + "\n", + "
" ] }, { "cell_type": "markdown", - "id": "31608e5a-cedf-4840-b809-a7df32b319ea", + "id": "7f1e1784-3d94-4b67-a927-0d74d16f6536", "metadata": {}, "source": [ - "" - ] - }, - { - "cell_type": "markdown", - "id": "e9a7f137", - "metadata": { - "id": "e9a7f137" - }, - "source": [ - "## 1.1. The dataset: Alchemical transformations of TYK2 ligands\n", + "## 2. Background: hybrid topology RBFEs\n", "\n", - "Here we explore how OpenFE can be used to build a network of alchemical transformations between the TYK2 ligands.\n", + "We compute the difference in binding free energy between two ligands, ΔΔG, from two alchemical simulations (solvent and complex legs), each sampled over a series of λ windows with replica exchange. **openfe** represents both ligands as one hybrid molecule, so the ligands need a common core.\n", "\n", - "First, we will use rdkit to visualize the TYK2 ligands." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "711d73bc-519f-4b81-9daf-c7594c7bbf8f", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "" - ] - }, - "execution_count": 1, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "from rdkit import Chem\n", - "from rdkit.Chem import AllChem\n", - "from rdkit.Chem import Draw\n", + "
\n", + "More background: thermodynamic cycle, λ schedule and hybrid topologies\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", + "**The thermodynamic cycle**\n", "\n", - "for ligand in ligands_rdmol:\n", - " AllChem.Compute2DCoords(ligand)\n", + "Rather than computing each ligand's binding free energy directly, we compute the *difference* in binding free energy between two ligands, ΔΔG, using a thermodynamic cycle:\n", "\n", - "Chem.Draw.MolsToGridImage(ligands_rdmol)" - ] - }, - { - "cell_type": "markdown", - "id": "0870f84e", - "metadata": { - "id": "0870f84e" - }, - "source": [ - "## 1.2. The plan\n", + "\n", "\n", - "Here is what we will achieve in this notebook and what software toolchains are\n", - "used along the way.\n", - " \n", + "The horizontal legs (binding) are very hard to converge, so instead we simulate the vertical legs, alchemically transforming ligand A into ligand B both in solvent and in the protein-bound complex:\n", "\n", - "| **Actions** | **Software** |\n", - "|:------------------------------|:--------------------------------------------------------|\n", - "| Create OpenFE Molecules | OpenFE RDKit |\n", - "| Create Network | OpenFE Lomap, Kartograf, 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", + "$$\\Delta\\Delta G_{\\mathrm{bind}}(A \\rightarrow B) = \\Delta G_{\\mathrm{complex}}(A \\rightarrow B) - \\Delta G_{\\mathrm{solvent}}(A \\rightarrow B)$$\n", + "\n", + "Every ligand pair therefore needs **two** simulations: a solvent leg and a complex leg.\n", + "\n", + "**Sampling along the alchemical path**\n", + "\n", + "The transformation from A to B is controlled by a coupling parameter, λ, which interpolates the interactions of the atoms that differ between the two ligands. The system is simulated at a series of discrete λ values (λ windows), chosen so that neighbouring windows overlap, and the free energy is estimated from all windows with the multistate Bennett acceptance ratio (MBAR).\n", + "\n", + "\n", + "\n", + "To improve sampling, **openfe** uses Hamiltonian replica exchange (HREX), where swaps between neighbouring windows are attempted at regular intervals. This lets configurations move along the alchemical path and escape local minima.\n", + "\n", + "\n", + "\n", + "*HREX sampling across λ windows, reproduced from Mey et al., [Best Practices for Alchemical Free Energy Calculations](https://pmc.ncbi.nlm.nih.gov/articles/PMC8388617/).*\n", + "\n", + "**The hybrid topology approach**\n", + "\n", + "In a hybrid topology, both ligands are represented by a single combined molecule. Atoms shared by the two ligands (the core) are interpolated between their parameters in A and B, while atoms unique to either ligand are switched on or off as dummy atoms. Because only the differing atoms are perturbed, these transformations are usually cheaper to converge than perturbing whole molecules.\n", + "\n", + "\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", + "*Hybrid topology scheme, reproduced from the [alchemistry.org wiki](https://www.alchemistry.org/wiki/Constructing_a_Pathway_of_Intermediate_States).*\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", "\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." + "The terminology varies across the literature: the approach called \"hybrid topology\" here is described elsewhere as \"single topology\" or \"dual topology\".\n", + "\n", + "
\n", + "\n", + "This approach comes with some requirements:\n", + "\n", + "* **A common core.** Ligands must share enough of their scaffold for a sensible atom mapping. Transformations with many appearing or disappearing atoms converge poorly.\n", + "* **Aligned poses.** The common core must occupy the same position in both ligands' input poses. This is why the TYK2 ligands are provided pre-aligned.\n", + "* **Similar binding modes.** Large differences in binding mode between ligands are hard to capture.\n", + "* **Dummy atom approximations.** The treatment of dummy atoms can introduce systematic errors (see [Fleck et al., 2021](https://pmc.ncbi.nlm.nih.gov/articles/PMC8280730/)).\n", + "\n", + "The Relative Hybrid Topology Protocol builds on the hybrid topology implementation\n", + "originally developed in [perses](https://github.com/choderalab/perses) by the Chodera\n", + "lab and collaborators, and on the multistate sampling tools in\n", + "[OpenMMTools](https://github.com/choderalab/openmmtools). We are grateful to their\n", + "developers for making this work openly available. If you use this protocol, please\n", + "also consider citing perses ([Rufa et al., 2023](https://doi.org/10.5281/zenodo.8350218)).\n", + "\n", + "
" ] }, { "cell_type": "markdown", - "id": "fbc94d04-5d68-4123-82b2-97a1b8872375", + "id": "56f13e09-6458-4979-8a49-b014f406c343", "metadata": {}, "source": [ - "Load ligands using RDKit:" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "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", + "\n", + "**Learn more:**\n", "\n", - "# Load ligands using RDKit\n", - "ligands_sdf = Chem.SDMolSupplier('inputs/tyk2_ligands.sdf', removeHs=False)\n", + "- **User guide:** [Relative Hybrid Topology Protocol](https://docs.openfree.energy/en/stable/guide/protocols/relativehybridtopology.html) – how the protocol works (the hybrid topology, the λ schedule and sampling), and the analysis it produces.\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", + "id": "c6891318-635f-4c97-91d4-a5345b96315a", "metadata": {}, "source": [ - "Load ligands using the OpenFF toolkit:" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "b5e5b538-4847-42f5-b29e-6e1f25bbbeed", - "metadata": {}, - "outputs": [], - "source": [ - "from openff.toolkit import Molecule\n", - "from openfe import SmallMoleculeComponent\n", + "## 3. The TYK2 inputs\n", "\n", - "# Load ligands using OpenFF toolkit\n", - "ligands_sdf = Molecule.from_file('inputs/tyk2_ligands.sdf')\n", + "The inputs for this showcase are in `inputs/`:\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", + "* `tyk2_protein.pdb`: the prepared (capped and protonated) TYK2 protein.\n", + "* `tyk2_ligands.sdf`: ten ligands with their binding poses, aligned on their common core.\n", "\n", - "For example, the molecule's name (as defined by the SDF file) can be accessed:" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "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:" + "\n", + "\n", + "
\n", + "\n", + "**openfe** does not prepare structures. Protonation, modelling of missing residues and generation of ligand poses must be done beforehand. See [Preparing input structures](https://docs.openfree.energy/en/stable/guide/setup/preparing_inputs.html) for what **openfe** expects.\n", + "\n", + "
\n", + "\n", + "Let's look at the ligands in 2D:" ] }, { "cell_type": "code", - "execution_count": 5, - "id": "29b7c68a", + "execution_count": 1, + "id": "e9a7f137", "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "29b7c68a", - "outputId": "39e7a77a-d2b8-49d2-8f70-fd8118845a99" + "id": "e9a7f137" }, "outputs": [ { "data": { + "image/png": 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", "text/plain": [ - "openff.toolkit.topology.molecule.Molecule" + "" ] }, - "execution_count": 5, + "execution_count": 1, "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. `KartografAtomMapper`\n", - " * based on the 3D geometries of the ligands\n", - "2. `LomapAtomMapper`\n", - " * based on the maximum common substructure (MCS)\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." + "import openfe\n", + "from rdkit import Chem\n", + "from rdkit.Chem import AllChem, Draw\n", + "\n", + "# Load the ligands without hydrogens for a clearer 2D depiction\n", + "ligand_rdmols_2d = [mol for mol in Chem.SDMolSupplier(\"inputs/tyk2_ligands.sdf\", removeHs=True)]\n", + "for mol in ligand_rdmols_2d:\n", + " AllChem.Compute2DCoords(mol)\n", + "\n", + "Draw.MolsToGridImage(\n", + " ligand_rdmols_2d,\n", + " legends=[mol.GetProp(\"_Name\") for mol in ligand_rdmols_2d],\n", + " molsPerRow=5,\n", + " subImgSize=(220, 180),\n", + ")" ] }, { "cell_type": "markdown", - "id": "f21bf9e5-6cb8-41c1-b0fd-e70ee2e71852", + "id": "e3dfe665-c0c5-444d-aaf0-f9097500bb03", "metadata": {}, "source": [ - "**1. `KartografAtomMapper`**\n", - "\n", - "The `KartografAtomMapper` is based on the 3D geometries of the ligands." + "And one of them in its binding pose (left-click and drag to rotate, scroll to zoom):" ] }, { "cell_type": "code", - "execution_count": 6, - "id": "c710a20e-2098-461f-8fa6-5e44b19ad6aa", - "metadata": {}, - "outputs": [], - "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": "markdown", - "id": "d0be837c-0cf6-4a17-8e44-f548f7c9a314", + "execution_count": 2, + "id": "07c7ecfc-45be-4889-869e-fbf4d03a7a15", "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": 7, - "id": "56117a03-6503-4317-9364-27e343a4911e", - "metadata": { - "scrolled": true - }, "outputs": [ { "data": { - "image/png": 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For more information on configuring and using this mapper, see the [ligand network generation cookbook](https://docs.openfree.energy/en/stable/cookbook/generate_ligand_network.html)." + "**openfe** represents each part of a system as a `Component`. \n", + "\n", + "Ligands (and if present cofactors) are `SmallMoleculeComponent`s, created here from RDKit molecules, which keep the 3D coordinates, bond orders and names from the SDF file:" ] }, { "cell_type": "code", - "execution_count": 8, - "id": "01384f2a-99ce-400d-a988-82fd393c4ee5", + "execution_count": 4, + "id": "e37fe6a4-3ccc-47bd-90c0-e031f909df25", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "['lig_ejm_31', 'lig_ejm_42', 'lig_ejm_43', 'lig_ejm_46', 'lig_ejm_47', 'lig_ejm_48', 'lig_ejm_50', 'lig_jmc_23', 'lig_jmc_27', 'lig_jmc_28']\n" + ] + } + ], + "source": [ + "ligands = [\n", + " openfe.SmallMoleculeComponent.from_rdkit(mol)\n", + " for mol in Chem.SDMolSupplier(\"inputs/tyk2_ligands.sdf\", removeHs=False)\n", + "]\n", + "print([ligand.name for ligand in ligands])" + ] + }, + { + "cell_type": "markdown", + "id": "d43fbff2-8767-40d6-bfe1-147b03c1d50f", + "metadata": {}, + "source": [ + "#### Working with OpenFF Molecules\n", + "\n", + "`SmallMoleculeComponent`s can also be created from OpenFF `Molecule`s, which is useful if you already prepare or charge your ligands with the OpenFF toolkit. Here we load the same ligands with the OpenFF toolkit:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "50530996-7708-4dc1-8511-c47a2091677e", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "['lig_ejm_31', 'lig_ejm_42', 'lig_ejm_43', 'lig_ejm_46', 'lig_ejm_47', 'lig_ejm_48', 'lig_ejm_50', 'lig_jmc_23', 'lig_jmc_27', 'lig_jmc_28']\n" + ] + } + ], + "source": [ + "from openff.toolkit import Molecule\n", + "\n", + "openff_ligands = Molecule.from_file(\"inputs/tyk2_ligands.sdf\")\n", + "ligands_from_openff = [openfe.SmallMoleculeComponent.from_openff(mol) for mol in openff_ligands]\n", + "print([ligand.name for ligand in ligands_from_openff])" + ] + }, + { + "cell_type": "markdown", + "id": "7485d1bd-ba1c-46cf-af7b-6526970467ff", + "metadata": {}, + "source": [ + "``SmallMoleculeComponents`` can be converted back to RDKit or OpenFF molecules at any point, for example to use other toolkits for analysis:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "a5f370d0-2551-409c-94a7-8b3b9eb8fcc1", "metadata": {}, "outputs": [], "source": [ - "from openfe.setup import LomapAtomMapper\n", - "mapper = LomapAtomMapper()\n", - "lomap_mapping = next(mapper.suggest_mappings(ligand_mols[0], ligand_mols[4]))" + "openff_molecule = ligands[0].to_openff()\n", + "rdkit_molecule = ligands[0].to_rdkit()" ] }, { "cell_type": "markdown", - "id": "de4592a7", - "metadata": { - "id": "de4592a7" - }, + "id": "2a932388-59ac-4c7f-8462-b257098dc47b", + "metadata": {}, + "source": [ + "The protein is loaded as a `ProteinComponent`, which also holds any crystallographic waters and ions in the PDB file. \n", + "\n", + "The solvent is a `SolventComponent` which describes the composition of the solvent (here water with 0.15 M NaCl, neutralizing the system) rather than explicit water positions. The size and shape of the box and the water model are not part of the `SolventComponent`, they are set in the protocol's `solvation_settings`, covered in Section 7." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "589b2b74-5e48-4281-a495-f8e93f71b8a2", + "metadata": {}, + "outputs": [], + "source": [ + "from openff.units import unit\n", + "\n", + "protein = openfe.ProteinComponent.from_pdb_file(\"inputs/tyk2_protein.pdb\")\n", + "solvent = openfe.SolventComponent(\n", + " positive_ion=\"Na\",\n", + " negative_ion=\"Cl\",\n", + " neutralize=True,\n", + " ion_concentration=0.15 * unit.molar,\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "02eda65f-2512-431a-b788-fe6e34993a44", + "metadata": {}, + "source": [ + "
\n", + "\n", + "**Learn more:**\n", + "\n", + "- **How to:** [Loading molecules and chemical systems](https://docs.openfree.energy/en/stable/cookbook/loading_molecules.html) – how to create components from SDF and PDB files or from RDKit and OpenFF molecules, and combine them into a `ChemicalSystem`.\n", + "- **User guide:** [Components, chemical systems and thermodynamic cycles](https://docs.openfree.energy/en/stable/guide/setup/chemical_systems_and_thermodynamic_cycles.html) – which component types exist, and how chemical systems define the end states of each leg of a calculation.\n", + "\n", + "
" + ] + }, + { + "cell_type": "markdown", + "id": "22a869a4-f112-4447-a749-ff30df58404f", + "metadata": {}, + "source": [ + "## 4. Assigning partial charges\n", + "\n", + "Partial charges are assigned during setup if they are missing, but we recommend assigning them once, up front. Conventional methods such as AM1-BCC are not perfectly reproducible. Small differences between runs (of the order of 0.03 e) are common, and if a ligand ends up with slightly different charges in its solvent and complex legs, the error enters the thermodynamic cycle ([Osato et al., 2025](https://pmc.ncbi.nlm.nih.gov/articles/PMC12079016/)). Charging once and reusing the charges avoids this.\n", + "\n", + "Here we use [OpenFF NAGL](https://docs.openforcefield.org/projects/nagl/en/latest/) with the AshGC model, a graph neural network that reproduces AM1BCCELF10 charges in a fraction of the time. It is also the charge model the OpenFF 2.3.0 force field was fitted with ([Wang et al., 2026](https://doi.org/10.1021/acs.jctc.6c00169)), which we use in section 7.\n", + "\n", + "From the CLI, the same step is `openfe charge-molecules`." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "d79ec609-52a2-4c0e-82f7-c4628138e7f7", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Generating charges: 100%|███████████████████████| 10/10 [00:05<00:00, 2.00it/s]\n" + ] + }, + { + "data": { + "text/html": [ + "
Magnitude
[0.1448139477870427 -0.09448049921775237 -0.12968765903497115 0.05276030342793092 -0.135585687647108 0.05276030342793092 -0.12968765903497115 0.15515131544088945 -0.06017462123418227 0.6910391975543462 -0.5483320425846614 -0.48030141700292006 0.3238180209300481 0.1279890764853917 -0.26826892007375136 0.44780837785219774 -0.7103845547535457 0.5609757829806767 -0.3414706062176265 0.13770612369989976 -0.5591573785641231 0.31294750462984666 0.6885952283046208 -0.5529239248135127 -0.18056669045472518 0.06981571804499254 0.06981571804499254 0.06981571804499254 0.021423640137072653 0.1688089896342717 -0.06017462123418227 0.15515131544088945]
Unitselementary_charge
" + ], + "text/latex": [ + "$\\begin{pmatrix} & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & & \\end{pmatrix}\\ \\mathrm{elementary\\_charge}$" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from openfe.protocols.openmm_utils.charge_generation import bulk_assign_partial_charges\n", + "\n", + "ligands = bulk_assign_partial_charges(\n", + " molecules=ligands,\n", + " overwrite=False,\n", + " method=\"nagl\",\n", + " toolkit_backend=\"ambertools\",\n", + " generate_n_conformers=None,\n", + " nagl_model=\"openff-gnn-am1bcc-1.0.0.pt\",\n", + " processors=1,\n", + ")\n", + "\n", + "# The charges are stored on the Component and carried through to the simulations\n", + "ligands[0].to_openff().partial_charges" + ] + }, + { + "cell_type": "markdown", + "id": "7c1d4fbb-c97d-4216-9434-0e192e9984d1", + "metadata": {}, + "source": [ + "
\n", + "\n", + "**Learn more:**\n", + "\n", + "- **How to:** [Assigning partial charges](https://docs.openfree.energy/en/stable/cookbook/user_charges.html) – with the Python API.\n", + "- **How to:** [Generating partial charges with the CLI](https://docs.openfree.energy/en/stable/tutorials/charge_molecules_cli_tutorial.html) – with `openfe charge-molecules`.\n", + "\n", + "
" + ] + }, + { + "cell_type": "markdown", + "id": "4624345e-5602-4f1d-add4-24340365e486", + "metadata": {}, "source": [ - "## 2.2. Creating a ligand network\n", + "## 5. Atom mappings and scoring\n", + "\n", + "### Mapping two ligands\n", + "\n", + "In a hybrid topology RBFE, an atom mapping defines which atoms are shared by two ligands (and interpolated) and which are unique (and become dummy atoms). **openfe** provides two atom mappers:\n", "\n", - "A `LigandNetwork` is a set of `SmallMoleculeComponent`s that are connected by `AtomMapping`s of two small molecules. \n", + "* `KartografAtomMapper`, which maps atoms based on their 3D positions ([Ries et al., 2024](https://doi.org/10.1021/acs.jctc.3c01206)). It is the default in the CLI and, in our hands, performs best, especially for ligands that are well aligned on their common core.\n", + "* `LomapAtomMapper`, which maps atoms based on the maximum common substructure (MCS).\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", + "Let's map `lig_ejm_31` to `lig_ejm_47`:" + ] + }, + { + "cell_type": "markdown", + "id": "f21bf9e5-6cb8-41c1-b0fd-e70ee2e71852", + "metadata": {}, + "source": [ + "**1. `KartografAtomMapper`**" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "4b0efdac-1443-4f90-84a8-24152f1d044a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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n6NChn+St7RjV1dXw74dsQRSADCHxVFRUODs7AwBoNJqHhwefzz9z5oyioiIAwMbGJisrq53j1NTU+Pr6wgpPMFzNw8MjPT0dj2Rzc3NraGgg6SpiYmLGjx+/aNGisWPHhoeHkySlGbDMDX6AikBQAFEKW1xc7OXlhWfrGhoabt26NTMzE/cDQV8rSVfx+PHjcePGfffdd+PGjXv06BFJUpqhrq4OAPgK4tq+NkPI4/EwDBMIBOSJaPtM+Pnz57CGta6ubnh4eG1trYuLC64GXC63PSIyMzPDwsIwDGOz2ZcvX75y5cqIESPgIHDVCSPZiLme1mloaCgrK8vLyzt37lxERATZ4jAMs7e3BwAQFfKD+IJgs9kSiaS+vp7ssKxmEKKwaWlpd+7cwTCMyWTevn377Nmz0AsKTy6grzUkJITkS8E4HE5lZWV2dvaZM2ciIyPJFodhGCzZSMYel2K+KkN4//79PXv2fPjwISQkBKYoEEhCQoKPj09ycrKfn19GRkbLL0DvCjRUDg4Oubm5cXFx5ubmHVADkUh0+vRpDMP8/f3hCziBefPmaWpqamlpZWZmEnJRbbB7924AwK+//nrz5k0AgPSRIXksWLAAABAaGkqBLMTnQ15e3vPnz319fZ8/f75jxw5CFrIvX748fvx4YmLi8ePHc3JyWn5BpsL26dOnAworEAhOnz4tkUhOnDiBK+yLFy+mTZumra3do0cPmRMgls2bNwMAjh8/fvnyZQCAq6sr2RIxDJs6dSoA4O7duxTIIpWvqtbotGnTdHR0TE1NDQwM8Pw8orCzs9PS0nr27JmOjg7s85ecnLx+/XpYz/PGjRu///67p6enWCzeuXPnixcvbt++7ejoyGKx7O3tk5KS8FP39gAnn5qayufzk5KS8AlcunSJw+GIRCIyav42A7ZDKigooLIfG8WV/rszWVlZISEhN2/eDA0N3bNnT9dOpnfv3mpqalZWVlZWVjAmpfNjjho1Sl5e/tGjRzo6OtnZ2QCAuLi4H3/8EX565cqV/fv3Q4XdsWMHrrC5ubnDhw9PTEz8JIWF1vTly5cCgSA1NRW+6eTkdO7cuZqaGnl5eRiDQyqwDGlBQQGVSkRxLx3y+KoM4b59+wQCQX5+fn5+PuH9XdPT0xMTE/v161dTU1NfXw8AKC0tvXv37qlTp+CnFhYWa9eujYyM3Lx585w5czw9PUUikYeHR0xMDNwXtp/c3Fw5OTl9ff0tW7Z8//335eXly5YtW758uYaGhoaGRkNDQ21tLbFX1xL8Fkd69VUyYMAADMMUFRUXLlwIA6+6kNTU1ICAAE1NzVevXmlraxNSNjo7OzszM9PMzEwgEJSVlQEACgsLg4ODg4ODoUQHBwcXF5fIyMgffvhh7ty5uMLGxsZ+qt3KysqSk5OztLT09PRcs2ZNUVHRihUrNm3aZGRkJC8vX1ZWJhAIOn9FbYMvWKlUoq9HYbt6S/rlgcc0PnjwYNu2baNHjy4uLt63b9/NmzcxDIuOjjYyMgIA6Onp3bt3jxCJHA4HAKCmpoZhGCxPQ0akaDPevn0LALC2tpZIJDB9mMC0p9YIDQ0FAMyfP59sQa0RERGxffv2nJycn376qavmQA0ZGRmhoaGXLl3asGHDyRMnONGPq/wPVx3/veFZlEREWC3NLoTL5cJWDHhA2Y0bN7y8vBwcHGpqarZu3QpTY589e9azZ08AQI8ePYg6CC8sLAQAGBoaYhgG7VPnS7J9lOfPnwMAHB0dBQIBg8FgMBgE1kRtjYsXLwIApFMYv1BQ94lPRtrpKi8vf/DgwR9//BFvKKioqFhZWTl27NgrV64Q1fkdbgTr6upqampMTU3T0tIKCgpgEiF54AtMGo1mYmKSnZ1dVFREtkuWSjesTBwdHR8+fNinTx+Y6/IVY2lpaWZmpqSkNGPkiNKf11cEV4ImLgCArqJC19Tu6R8o37tPV8+xUygrK8MFnPR+V1lZ+Zdfftm1axes7QIA4HK5JSUlY8aMuXr1KlEKa2hoCDeCfD6/V69e+fn5BQUF8PSRPHDdkZeXNzAwKC4uLi0txVP+SeKr2RF+Va5RAACHwzl79uxvv/0WExNDjcRx48YxGIzY2Fj4xxEjRjx58uTx48dEKRUEv+EoMxU9evRQUVGprq5uaGigzDtK8Rkh/q+Gv46JidHQ0GCz2W/fvmWxWNRMo6tQUlLC+LymLWuTsrLDCsoAhgEMiygsv5eRXbTGRdJIQI9MSRNXVFEG2nHmFxkZ+fPPPx88eJDse3v+/PlsNhs/yZs+ffr9+/efPHlCoMIyGIyePXtiGFZUVETZLW1sbMxgMIqKikQiEWVCKV65RkVFyXzdeb4qQ8jlcqdOnaqlpTVhwgR/f/9z585RI/ePP/548+YN/kcnJyfCQ3W65AAALicLCwspE2poaKigoFBeXs7n88mWBQBYv359s9czZszYs2ePqampj48PsUuZz5P6O9fFnBqOQFgu/KcjZpVIXC0USbiNnJBLnRmZlxRf8N303HHW+XPH534zuPLoQYzfaqfl8+fPX7lyZd26dY6OjrNnzy4vL++M6I/i6+v75MkT/I9Tp04lT2EpMxVwIygWi0tKSigTampqSqPRYOIv2bIAAHisk/Tr2NjYCxcuNDU1BQUFPXr0qGMjf1WGMCwsbPr06QsXLnRwcDh//vyff/5Jqjhra2sYWmZgYHD//n2YA0cSzUJXKD4Jp0wonU7Hl9Jky2ptAvLy8nJyctra2jCl+uum4WmkpIkLACgRiBMb+YmN/AK+CACA8XiNTx92eNjGR/dy1rvFvHsHREKM11Rd3xB98VzRygWYQBAeHh4dHc1kMkNCQqqqquD3/f39T5w40a9fv3Hjxq1evfrKlSuEXF0zbGxspk2bBgDo27fv7du3YQ4cSeB7MioVttlymYIdoZKSUo8ePfh8PgxH6hKGDRvGZrOLioqSkpKysrI6NshXZQjZbDasigQAUFVVhWfF5IkzNDQcNGjQn3/+qaGh8eDBA1I3EF0Yw0mxMlN5gSKRaN6/NDY2UiDxcwNrqIcvigSitw28tw28AsE/W0MJt4OuUUl9Xfnen6saG/8qqwOABgBg84UhJVUCdm71hRMWFhZv3rzp0aMHnU7HH1tcLhfWKAEAmJmZwWATwunTp4+1tfXRo0eNjIxSUlJIVVjqbRLoUoWlRlZDQwOusCLRPzcqn88fOXJkQkLC1KlTYdW3DvBVGUIjIyN8JyEUCul0OqxeTSrKysr19fVk3wdde4tTn0pIjSw5Obmb/9LlKQRdgsLAITQGAwAwXE1xrYHmWgPN0epKAABApylYDOrYmI3PHgJZ60+M11T/91UdHR0+n6+iomJiYoJvI1RVVWFoNAAgNzcX3m8kQaPRSktLqVFYil04XXKAQuXDQU1NDVdYObl/Ij0LCgoaGhrmzp0rEAjgjr8DfFWGcMGCBSEhIYmJiXV1dbt27Vq8eDEFQqm556T1CjrlYSI/ZUIByavatLS0y5cvR0VFUaBXIpHI29s7NzeXPBFfCpoL3YCcfMv36YqKWotXdWxMYR4LultTufz1rPL1rPLfi2r++ai6+vGjR7a2tunp6Tk5OXjfhk2bNm3YsIHFYkVHR1+6dAmvpksG1Dy4cZWB4ihOw6XgGpOTky9cuBAVFUXBw6GpqWnz5s15eXkyP7W2tnZxcVFSUpo1a9bw4cM7JuKrSp/Q0dG5ceOGv79/ZWXlhAkTli1bRoFQavQKlwKd8hUVFeXl5bBENQVCKbjGQYMGPX/+vHfv3mQvLAoKChYvXhwTE/Po0SMbGxv8fenX3QeFvgN0Nv4yytfHuokL35mipcpQUlKfs0hpSAf/Quja2jQFBSAQDVFRPGWuDwBIbuSHVNYDABiKit8tWgS/Blu0Q1auXGlsbHzixAktLa3bt2/jdavJgBpfJa4yurq6qqqqtbW19fX1uPuXJJr5jUi9Rmtr6+fPn2tpaZGtsBkZGQsXLnz//n1qaqqTkxP+vvTrzvNV7QgBAElJST169PDz8yssLLSxsbl//z7ZEqnRKxMTE3wjSJnfAxekrq6uqanZ2NhYU1NDkqyUlBQjI6P8/Pzs7Gw5ObnQ0FA/Pz8ul0uslPDwcBsbm5iYGBMTk99++y0gIAD/SPp1t0Jr8cpB/hfMbeyAnByNweg1eIj5vIXcl88k3A4emqo6TQB0WUGYDIaq41iZP9m0adNff/21efPmHj16bNmy5enTpx0T3R6odOHAxwKMvqZAYXHra2BgABOam5qaSJKVlJSkq6tbWFiYnp6upKR06dIlPz8/wg/aAwMD7e3t379/b2FhcezYsZMnT+IfSb8mgK7N5yccW1tbAEBcXNzGjRsBAIQ3wJSJlpYWAKCqqopUKbD4Z0lJydy5cwEAN27cIFUchmF1dXUAABUVFQzDYDX9d+/ekSeutLQUbuJx77+ent7OnTuLioo6P7hQKPTy8qLT6QCAyZMnl5aWdn7Mzwc+n//y5Us+n5+Xl0dAASCxuGjd4tKtGzr4c4mkYNGMOLt+W3pq59ia5diaPRpk7N1Ll+U0WFCYL/MXsF7S+/fvV6xYAQC4ePFih+fejtlJFBUVaTRaOztLdBiYs8/hcCZPngwAePDgAaniMAwrLS0FAPTo0QPDMFjWsf09pDoA/izCFVZXV3fbtm35+bL/lT+J+vr6pUuXwmHd3NzILmv1te0Iv+KCe9Qfv6urq2tpacFSVWQLTU9PnzRpUmBgoLKy8u+//w4bf1dUVBw8eLBXr16zZs2STn7/VNhs9pgxY/bu3Uun0728vB48eAArFH815OfnKyoq3rhxIzw8nMlkdnY4Ol1/35Gm+Jd1t6598m8l4ooD28Wcmt5TnTf21qerqNIUFc11tZdbDeh5Llje2FT2jyQSAACdTsdfdO4C2oJGoxkbG2Pkp+jgG0HKAkf19fWVlJQqKyu5XC7ZZ5Px8fGOjo63bt3S0NAIDAy8c+eOo6NjVVWVj4+PmZnZrFmzOpzSBwBIT08fOXLk5cuXlZWVz549GxgYiFcCIomvzRB+xRH/XRs4SqpQ3AEycODAN2/ebNmyZfTo0dHR0bDxN51Oj4iIcHJyGj58eGBg4KeWU//7779tbGxevXrVq1ev6Ohob29vUp+zXUK/fv1ycnK0tbU7HCzQDDl9Q/19RysPeQuyMj7hZxJx+d5fuHGxPc8G6x/0Nb35tMfWfboe2wwPnza7+0LRcnCrv6PQEALKjwkpU1ho4wHJRTAwDPPz83NycmKxWMOHD09KSnJ1dR0yZMizZ8+gwjIYjIiIiMmTJ9vZ2Z09e/ZT3bPwaZCWlmZlZRUXF7d27VrCL6ElXflEePXqVXV1NZfLffbsGVHNIr7iiP8uTCWcO3fu9evXAQnXWFdX5+rqunz5ci6X6+bmlpCQMGTIEADAt99+26tXr/Dw8GPHjrHZbNj4++3bt8uXL+/Vq5e3t3dlZWWzoTAMCwsL+/vvv/F3eDze5s2bFyxYUFNTM2/evHfv3o0aNYrY+X8mpKamNjU1aWhoZGRkpD17XL7LM3/ehAKXqVV+v4mrm/9FtRMVx3GaC93Kdm7GeO16kGFCYekvG3jvk43Ph8mb9AYAyBkYqc+cr7lohfIIR9mnhv9CsSHsksBRKpMZpkyZEh4eDkh4SlRWVs6cOdPT01MoFMJOHdAHO2fOHKiwR48ezc/P9/Ly0tPTS0xMXLduXZ8+fbZt29Zy/y2RSC5fvhwREYG/0+xpEB8fj/c3Jh1SHa9tUFFRkZ6e7uPj8+uvv75//14sFhMyLOyx4uLiwmazAQDQB0I2Bw4cAABs27aNVCmHDh0CAGzZsgWWUR05ciSbza6vry8tLSWvGcXMmTOl7xYdHR1fX1+8nH8nSUhIgP1u1NXVr169ir9fVVU1YMAAKFFVVXX9+vUZGRk8Hi8gIACaSQCAoqKim5tbswvncrlHjhyBrzMzM2FcopKSEjVHxZ8DNcEX00ZaZtiZwUUOETAAACAASURBVMO5VPt+2U6Dm1KTOjaaRCQsXLmgfN/Wj3+ziVv8P7eCxTNF1R05KYe3QU5OzqJFiwAAwcHBHRik/ezYsQMAsG/fPlKleHt7AwB27dr18OFDAMCECRPYbHZTU1NpaanMzt6EMGHCBGmF1dXVJVBhnz17BneczTp1lJSU4F0HlJWV165dm5qaChUWjw1WUFBwcXF59eqV9IBCoRBX2Pj4eHgbaGhoSD8NqKErg2Xi4uKioqJ++OEHf3//1NRUQsaEJ0kjR44UCoVycnIMBoOQbtdtExgYCABYsmQJqVJCQkKgjYerPGNjY39//8TExOTk5MOHDxN1r+OIRCI8usTa2trV1RWucAEA2traP//8c15eXocHh83BFRQUAAB2dnbZ2dktvxAVFTVz5ky8JIKjo2NoaKhIJHrx4oWLiwteHBJ/H8Owp0+fPn/+HMOwgIAAeKhgYWGRlNRBM/DF0ZT8ljV6oIeR1glzfWgIl+iphwwwzB1vLW7s4O0hLC1mjRtWF/F3G98R19cVrvy2wG22mFPTMSmwMwOLxVq4cCEA4Nq1ax0bp53AHqJr164lVcqFCxcAAMuXL4d9vPv373/48OGMjIzExMRff/0V9h8mEOlwMFtb2yVLluCtJ3R0dH755Rc2m93hwSUSiY+PD1S6MWPGwOKizWhNMeH7eECNnZ1dQEAALPsVERERFxf30acBBXSZIczLy9u+fXt0dPSNGzf8/PyICrmERgLWq4T3QWee1+0ERnuPGTOGVCmxsbH6+vrLli0TiUTQxsfGxiYmJtbX1+/Zs4fYmNWCgoIxY8YAABgMhpeXV3h4uK+v74cPH+7cuTNp0iR4Q9Pp9JkzZ0ZFRX3q4NC7AgCg0WgeHh5tPxGysrI8PDzwsi/9+vXz9fWtr6/PycnZunUrjNcFAJibmx88ePDIkSPBwcH4oQIFwWafFcUbl+fY9WlpCFmOAzlhlzs8bGP0Y5aTlSA3R+anYk5tgducorWLOmxrMQzr3bs3VNVvv/0WABAWFtbhodoDdMdNmzaNVClRUVE6OjqrV6+GSQVKSkpPnz7NyMjgcDg7duwg9s5ks9mwOoGcnJyXl9ft27ePHDnCYrEIUdiysrIpU6bgCtv21qKlYvr4+FRXV7NYrK1bt+ro6MD3jYyMdu7c6e/vHxQU1P6nAXl05Y5QIhI2xj6rCTrLCbssYOcSMiY0EnQ6nc/nwwOhFy9eEDJyG+Tk5AAAzMzMyBaEA1Mpfvzxx2vXrt27d+/YsWME6tXDhw9hUKWBgQFsXurv7x8SEnLq1Cn4hbdv37q7uyspKcF7etiwYWfOnGlnMPrr16/h8l9TUzM0NLSdU+JwOL6+vvBxCZ0nHh4eubm5tbW1R48ehacUAAB1dXU4c1VV1UuXLnXs8r9cWBNsc2zNPIy0ZmirehhpeRhpDVFRDBlgmGNrVrrdozMjV/y+J3/hVEkTl/c+ue5OWMOTB6LaagzDRJXl+QunFnuskvCaOjM+fpw2f/58QH5qUEpKCgDAysqKVCnSaGpqQoWFkb1HjhwhMHnj5s2b2traAABTU9OYmBgMw/z8/AIDA3EVaKawNjY27VfYR48ewU7j+vr67c8AqaurO3PmjKWlJa6Y7u7u6enp9fX1/v7++MGHiooKNJk6Ojq3b9/u2OUTQpcZQl5Gat5UB9aYIcxRFixHK+Zoy7KdmyVELAegUuXm5sLWEBS4m3k8Ho1Gk5eXJ+qksw24XK6Hhwe8dXD/A1GtqKW9K5MmTSopKYHvV1ZWXrt2rdmSorS0VLpXkb6+/tatWwsKClobHDpA5OXlAQAjRozoQM9usVgsc4UrEolwP6qJiYmZmRlRnvYvi9yJdtAQ7jTRCR/YM3xgzxnaqtAQlu36oTMjS/j8/G8ns8ZaM50GsZwGscYMZo6yLPfZw547rnTbRkmnbz881hHmpd28ebOTA7YNrAuhrq5OqhQIl8t1d3en0WhaWlo0Gm3SpEl37tyRSCSEDM7j8Tw8PODxwZw5c3C3UHl5eWBgYHx8vPSXP1VhpZ8GEyZMKC4u/tTpicVi6QMOOp0OL1/6fWNj44EDB3bgaUAsXWMIhcWFLKfBe0117w3sCX04P/bUjrXrV/rz950fHLoIoqOjf/rpJwCAj49P58f8KHAjAu+VtLS0qKgoou51aVJTU+GhtIqKypQpU/CKTebm5seOHeNwOJ0ZvJl3Rdqol5SUpKeny/wVn88PDQ0dOXIknAk8En/58mWzr5WXl8N6uO3xrnwUGKUNDxXglhQ+OletWgUA2Lt3b2cG/3Ip/en7HDvzlq5RpuOguvDrnRlZWFrCchoCx/z//+z65M+fIBERsAiDe47i4uLZs2cDACjYHGhoaAAAampqMAxLS0t78+YNGVKSk5PhrkhFRWXixIkqKirwjrW0tDx58mQnz/U/fPgA6wIqKir6+vpKP3BKSkpaS6WXqbCxsbHNvpafnw9rmLV8GnSA5OTk1atX41vSQYMGwU0/LKBx+PDhzgxOCF1jCEu2b2La91uqpx48wBAq1XRt1UgrY6bjQF56SicHh4FnV65c8fPzAwBs2NDRAhmfAszfev36NYZhrq6uAIABAwYQGK+FYVhAQABUJEtLSxgt2cz/oKam5u7unpaW1oHB//77b+hd6dWrV0utaA/QOMk8En/y5Al80unp6d27d68Dg8ukrKwMX+EeO3YMwzB/f38AwPr164kS8WXBz8pgjrb0NNI69a8hXKanEWphlDd1hITP68zIpds9cuz7NTeEtmbM0ZaCfALO4OE6srS0FB4XhYeHd37MtoG1bFJSUjAMgxE68I4lMLYOV9iBAwdCQbW1tTI9/B0Y/Pr169CpaGZmBh87n4pMhYWXf/v2behwMjExiY6O7sDgMoGXDxM8zp07h2HYH3/8AQDw9PQkSkSH6RpDyPpmSI6t2VI99aNmeo8GGT8aZDxWQznSyjjHvl/1Wb9ODv7zzz/DjSBMKZs9ezaGYeHh4du3b8/Kyrpw4cKFCxeIuIj/ABX47NmzGIYdOnSoZ8+e8PaCNYfa8D+0B5heAwd0c3NrZlxb8z+0c0va1NQEfa0AgLlz51ZXV3dmqrm5uT/99BN+VN6rV6/JkydD78rEiRM74F35KDBKu7a2FsOw27dvAwCcnZ0Jl/KlUP8wgjXakjniH6PFGj0wd/yw+ocRH/9lm7AcrVpawRxbM+ZIi9or5zs/bT09PQBAeXn5jBkzAAB379599+5dYGBgRUXF1atXnzx50nkRzYBlz0JCQjAM27lzJx7EYWxsfPDgwYqKis4MzuFwpBW2sbFR+tPWPPwdUFiYI9uZqTZTWFNT07Fjx8InyaxZsyorKzszuEwEAkFISAg8oQwNDYVXQbiUT6VrDCHTvi80hLO0VWEXNHMl+Ugr4xxbs4rfvTs5OGxMv2HDhvj4eACAjY0NfN/X15fH4xUXFwcEBHT6Cv7D06dPtbS0zMzM5OXloZ9BJBLBmkPN7vUODP727VvYbVhdXf3y5bZi/zIzMz08PHD3S//+/T+6Jc3MzBw2bJhM70pnaGpqCggIgItuExMTWNgMZjiQSmJiIgBg6NChZAv6nBEWF1Yd9ylc5VK0fmnt1YtVZ3zzpo+CsS0dRCzOsTOXaQhzbM2q/vy983PW1dUFAFRWVkL/+f379xsbG1NSUh48eCCdG0oUsG1C7969FRQU3Nzc8KS3trNU20lCQgKusFeuXGnjm4mJie7u7srKyriH/6MxLBkZGXCSxGbHQoWF2esmJiYwVpyCiIdXr14BAOzt7ckW9FG6xhDmOTtCQ9jcNTrainO9rVunPdy8eRMuZ2DbT1iC1sfH5/Tp08nJye7u7gSmn4tEoj179sDUGVNTUzyHZvTo0deuXRMKhdD/ACNEAAC2trZnzpxpampXiB2MLlFUVIQ/bGf9XGn/AwBAU1PTw8MD5pDU1NTgx+klJSVXrlyByXYDBgwgPNkuOjo6JCRk586dAIBx48YRO3hrVFRUAAC0tbWpEfdlIBYXb1hWvHkV1olVDmuirewdoZMV52ZI5+cI3fLV1dUwTD8yMrK6uvrEiRNCofDBgwcdc/3JRCwW79+/H/oDe/bsCbc+NBpt6tSp9+7dk0gkMpPh2hmMJp0PZ2tr2858OGkPPzw+2Lp1K6xbXV1djXto4AoeLnOtrKwIDwd78uTJ9evXf/nlFwDA1KlTiR28NQoLCwEAhoaG1Ihrg64xhDVB55ijB7Y0hCzHgZ1aumIYhmEJCQlweSWRSODxbGNjY21tLSznVl1dTdS5XWlpKXSw0Gi0rVu3ikSi4uJiLy8vuLwFABgZGXl5eVVUVJSUlMAiYfB9AwODrVu3ykxKxamtrXVxccG9K58abC0QCIKDg/EjcTk5uYULF+7cuXPAgAHQDM+ePTsoKIhGo3377bfQr0ggjY2N58+fP3369Js3bwAAw4cPxzBsxIgRenp6PF6nDqs+CnxS1NXVkSrly0JUXZU31aE2+GKHRyjz/jHHrk9LQ8hyHCiq6azCYv9mF9TW1kKHYVRU1P3790NCQlJTU0+fPi1dxKQzlJWVTZ06FUhFbLXMUvXx8ampqYHJcNA8AwD69Onj4+PTdqqutMK6u7t/6n3O4/EuXboEm+cAABQUFJYsWbJt27bBgwfDc7spU6ZcvHgRyDoc6TwcDicgIODMmTPR0dHQ/ItEoiFDhmhra5PqyBGLxQoKCjQajezHwkfpGkMoEQmLVrmEW5vHDzWFGnXdwijFwaLu7q3OD15eXg4A0NXVjYmJgRlmHz586PywzYiKioJ9cfX19SMjI6U/kvYz4G6WlJQU6H4ZOnQofq+7uLjIXO2+efMGT7brZJWNhIQEmEJkZWW1b98+FxcXLy8vDMNmz55dWFhIUrBcTExMQECAp6dncXEx/CvCMMzMzAwAkJMjOy+bKGCKUmsxrt0WbsJr5uiBvIyObCPqwm+wHK1YY4eyRln8xxAON+fcJqYEDIx/fvXq1bhx4wAAjx49ImRYaaQjtu7fvy/9EcxShfcnAEBDQ8Pd3T0jIwMGo+HFw9oIRpNW2PZnx8oEj2GxsbHZvXu3i4vLb7/9hmHYlClTKioqCNwcS/PkyZPLly//+OOPubm50LmF/RvK28n4ho8C/9qZTCapUj5Kl+URSoTCqtPHcsdZM0f0z7HvV7DYucjdtfzAdgJGlkiUlZWNFBjyDAZ0cbR9tPapSKfXTJw4EU+2w8nNzW1oaEhISLh8+bLMmkOPHz+ePXs2Xll45syZ0pPHk+3s7e2Juj+KiorevHmzf//+W7dujRs37sOHD9AQEjJ4axQWFuIrvqampm+++QYA8PTpU1KFwi1Fs6UJAsOwqlNH2bPHihs+ofCCuKG+dNvG3El2jbHPxA315Xu3MkcOYDlZMUdZ5M5wzJ0+quokMad3qqqqPeQYdDodOi1v3SJgQYwjXSxw/PjxLdtbFhUV1dXVxcXFnTp1SjqGBQadiUSi27dvT5w4EX9/0aJF+G9JUti8vLy4uLjdu3ffv38f9nmAhpCQwVujsLBQIBAwGAwGgyEUCkeMGAEAaJkKRSzUPBY+Stc35hXX18HYbkEhmzVmSP09Gbm0VVVVeH7ohQsXysrK2h5zg92QFNs+8/v+E6bMYDBcXFwIKTHTRrIdJD8/f/fu3U1NTUwmE+bHZGdnS9cc6tu3L3S/MJlM6H7ZuHEj/G15efn06dMBQcl2Ldm/f//t27eTkpKcnZ0pMIQQuFLOyclZsmQJACAwMJBUcStXrgQA/PXXX6RK+SIRi4u+X9L+dru8tBT27LFF7q6iiv9XN4lAIChkiyrLMQzjZ2eyHK24r2WoFXS1wXOsq1evftT3Pk1fK36o6RRTI6gjysrK69at61giUDMKCgrgoxYGgLR09OXm5u7cuZPL5ebk5Pzxxx8YhiUlJUnHsFhYWPj6+jY2Nn748AEGo/3wwz/VCZopLOHlwXbv3h0ZGfn69ev58+dTYAghMOI9Pz8flrsju+7r4sWLKXgsfJSuN4TS1EfdYzkNEuQ1X1Xx+XyxWHzkyJG4uDgvL682TqElfF7FIW/WN4Pr79/GOldbqCUtSxnJ5PTp0xiGPX78WNpBB90v0CqAf2sOQfdLeXk5hmFPnjyBt6Cent7du3c7NsO2gYYQwzAPDw89PT1oCBMSEv766y8mkwmfAoQDa5Y+efJk27ZtAICDBw+SIQVnz549AADo/kU0Q1RVkTvZnvP3x3o7SCS1Vy8wR1lWnT6GtRk6WBsSkDvJTtpSQurq6kQi0R9//PHu3buP1BsSCatOH2OOHlh79QKGYS9evJBZab29V/hf7ty5Aw/sTUxMYDV2mUCFjYqKkm4KAWNY8LrVWlpaHh4ebDa7srISKuzTp0+hwvbo0YMkhYWGEMMwd3d3PT09aAjfvHlz8eLFrKwswoNpITCwIDY29ocffgDkZ7tT81j4KJ+XIcQwrPzgjoIls5rVWhOLxRcvXiwoKPjjjz/27NnT2hGCII+Zv2h6weKZzZJ8YW0hPLcP1hb6pP0QLGUEfy5dykjG/MvLd+zYkZOTI7NwMJ5CJJ3zd+vWLTz0dNy4cS1dN0Th7+8P/+o4HM6wYcNKS0vh+/BBAP9POHAjGBAQcOLECQDA998TUDyoDc6dOwcAWLlyJalSvlwaY58xR1nyP7R6hiqqqS72WJU3fWRTYlx7Biz56fsid1dM/B9bJZFIgoKCWCzWvn37tm/f3tqqUVhSVLhyQf6CSfzsTOn3s7OzPTw88Kbk0InySRmuzYoF4re6jPmXlMCzMZmpDrAOC3QCwW3lzJkzIyMjvby8oMKOHTuWPIU9evQo9GNVVVUNGTIE/xsgVWFhyE9wcPDRo0cBAB4enapS+1GoeSx8lM/OEEr4vALXGRV//KdVWFZW1vHjx2HJ17y8PJkqURd+g+VkVXHIu7WCpTweLzQ01MHBAd7TMvtjyeTDhw+EJ9slJSWtWLECpkbgOrZ3714Kku2eP3/u5+eHF/errq4+cOBATU3NgQMHyOjVsH37dgDAgQMH7ty5AwCYMWMG4SKkefDgAXz2kSrli6bS91f2vPFN799V+f1WvHlV+W+7uAn/aAH37Zu8aSNLPFe3P3hbXMdhz/qm+q/j0m+mpaWdPn0aHi9lZmbKdI02PI1kjbMu2/2DmNvY8lOsRQwL7kT56JTYbDYsuE9IeTBITEzMwoUL8TosbfhaCefp06d+fn54E6WqqipcYQkPH8UwbMuWLQCAQ4cOwV7c8+bNI1yENNQ8Fj7KZ2cIMQwTsHNZ3wxueNreeAcJr6l8/zbWmCH1Ue1yULTRH6slYWFhMLa7w6WMZJKTk1NVVZWWlrZy5Up1dXUGg0F2xX0cWFAK731aXFyckJBQUlKSkJBAbC8nyMmTJwEA69atS0pKAgAMGTKEcBHSpKenw3MdUqV80UhEwrzpo3Ls+zFh1TS7PkxHq5If1tQEnWvDHXr9+vXw8PC0tLTg4GDoG8ThvU9mjrTgxrc3qkLC51cc8mY5DZIZENAMmU6UNgondb5YoEzYbHZtbW1ycvKyZcvU1dXl5OQo65YwZ84cAMDff//TErKwsBBX2E7WgZLJsWPHAACbNm2CuU92dnaEi5Dm3bt3FDwWPsrnaAgxDKsLv84aZy0s+njkLp+Zle8ypcBtjqAw/5NENOuP1bNnTy8vL5gaCHdLqampBw4cgHlpixcvJjY1LSQk5Pnz54cOHQoODoaJFiRlMrTkxx9/BAD8/jsBBUHaQ3h4OFzxVVVVwbMWUsXV19cDAFRUVEiV8kVTdzOYOdqyeWr8cHOWk1VT8luZP5FIJPX19X/88cfFixdDQkJabkRqAs7kTR/ZnpxCQR6rwHVGgavzp3Zee/funbu7O144Cdbyra6uXrhwISzdl5qaevToURjA2fnaY824cOHCq1evfHx8AgICYIoOgXU52mbjxo0AAALryLTNjRs3AABz586Vzn0iD/hY0NTUJFXKR6GDzxL1mQtUx0ws274JE4na+Fp9xN9Fy+Yq2482vnBd3tj0k0TAJNm8vLzjx48PGDCguLh47969586dy8zM9PT0BADU1taWl5efOHHir7/+unLlCt7qgRBgNqGamlppaSlsLlhQUEDg+G0A21RRLC4/P19HR0dNTa22trauro48cWpqalpaWlwuFyoYojkYVnX8EMbjNX9bIsGE4taUiEajJSUl2djYLF68eNKkScHBwc2+oOW2VtFycPmeHwGGtSG84dH9wmVzFPpZGF+8Lt/L7JMmbm1tfebMmdzc3P379xsZGWVlZXl6ep44cSI2Nhb2mSkvLy8uLj58+LC/vz9ek5ooYKq7qqpqUVERTCCGPcApoKsU1tDQUFFRsaKioqmpiTxx8LHA4XBIfSx8lM/UEAIAemzbL2lsqDl9DGCYIDuz6U2sICsDVzNJY0PZDo8q34MGv5/o8bMXTcp3/0moq6tv3LgxIyMjIiLC2dl59erVvXv3Njc3DwsLg19YsWLF6tWribkkKVJTU1kslpGRkbq6OqxG/3UbQigObztHqkRYXo6yC/yyEBYXSvj8f//0H6NFU1TgpSTK/JVAIEhLS+NwONnZ2Xfv3oWB9f+BRtP3Pixgfqi9ch4AICor4WekispL8c8xPq/y8N6K/Vv1dv2mv+8oTVGpY/PX19fftWtXXl7elStXvvnmm2XLlllYWCgrKz98+BB+YfPmzRs2bOjY4G3w/v17JpOpr6+vq6tL8Q1GsThcYWGzQAzDioqKSJUIQ3O7VmE7aD8ogK6sYvD7iSK3OXW3r2E8HqDRAMBoahoG+4/RlVXKtm+SM+xpEnxPTs+AAFl0urOzs7Ozs1AoBADs3bt3woQJBw4c6PzIrQEP6iCwTejXqlfSKz5TU9MPHz4UFBRYWVmRJ9HU1DQlJaWgoACGOCH+g0hIo9P+NYC0/3yEYZhAIPNHCgoK33//PXwNa6m3hK6hZXDAt3j9Uk5YkLiynMaQx0QCebO+BnuPADm5sm0baYqKJlcj5I17df4iFBQUFi9evHjx4sbGRgDAb7/9NnPmTG9v786P3Bow+BkCS9pSv0WjRpyBgYGiomJlZWVTU5OpqSmLxcrPz4dlxEmiV69emZmZBQUFrd1aFPD57ggBAJL6OkwiFldXSbiNksYGSWOjuKykZINb0apv1WbM7XkqiBAr2BINDY0tW7b4+PjAP1ZVVQUHB9fX18fHx8NafMRC8Y1O8Y4QSK34qLHBFP99flnI9TTFxBJZn2BAIla07NSTiKagCAAmKszHeDxJYz3G5wuyMgqXzS1aOkt5+Cjj89cJsYIt0dPTW7lyJew/CgCora29d+8en89PTk6Oi4sjXNzXrbA0Gs3ExATDsMLCQmpEfw4K+1kbwrLdWzChsNmbmFBI19DUcd8M6AzyRC9evBgvjdbY2Dhp0qTQ0NAnT55kZ2dXVlYSK4viG11fXx+6/rlcLjUS8Qsk9UqvX78ODzOot/RfEnSaQn/L5ntBAABdTsFysHxv886MXbbTo/mhPoZhAj5dW7fHz160f3uwkIG7u3ttbS18XVVVZWVlde3atcjIyPj4eMIPnyi+wYyNjeXk5EpKSoQtHoYkgVsm8lauGIZdvHjx81HYz9cQCvOYklrZ8Q5YE1fAyiZDKIPB2LdvH3zt7+8P63WZmprevn17+vTpCgoKGhoahNuPLlnxAQDIdv3j4OpE0tKvqanJ3d3dxcUFpkBBKUwmk1gpXwGikqLiNd9h9XVKloPoyir4+zQ6g8agGxzw7czggtwccVWFzGAZSU21sIiU9b6ioiKsJUSn04OCgtzc3AAAffv2ffz48bhx41RUVHR0dBoaGogVCu9nynYwDAbDyMhIIpHAME4KIHvlyuFwvvvuu1WrVsGwRCjlw4cPxEr5JD5fQyiqKAP0Vo4wGXRxZTkZQul0+vjx49+8eaOsrOzu7g4Pme7fvy8UCjkcjqmpKY/Hw1v9EUXPnj3l5ORKS0sFrZzQEE5X+XbI0Kv09HR7e/tz584pKytbWlryeLy7d+/q6en9/fffs2bNevToEYGyvmgan0YWLHaWN+1tciXcOOiW7o+7FS2sGFo68r3MtFatl+9tzgm+1JnxRaXFrSksTV5eVFrSmcFbQ05ObuzYsbGxsXp6euvXr4fB2JGRkU1NTVwuV1tbm8/n4yWliMLExIRGoxUVFYnFYmJHbg2KFRa39GTIjYuLs7GxCQsL09DQmDhxYl1d3bVr1wwMDK5fvz558uTw8HCszcBjkvh8g2Xk9I0wsWxXACYSM/QNyROtr6/P4/Hw5/WMGTPgC7whC7HAFV9BQUFxcTFeR4NUuipwlHC5gYGB69ev53K50BVGo9GGDx+elpamoKBAp9MjIiIiIiJGjBjh6en57bffypPpmvucwQT8Kj+f+vDrejsOqE2bA9/UmLdIY94i/DvqM+YXLp2lZGOvOm5ys58XFxc/ePBAT0+PwWDExcV5eHjg2bfSyOnqYZhswyARi+R66BF0NTLQ0dGprKzE76upU6fCvoOWlpZkiFNUVNTX1y8rKysrKyPcysqkV69eL1++pF5h582bB4hTWAzD/vzzz59//lkoFNrb24eEhFRVVQ0bNiw3N1dZWVleXv7Ro0ePHj0aOnSoh4fHkiVL8BrRFPD57gjle/dhqGvK/Iih20OhD4lRTMbGxnQ6ncoVX1dFSFMpDi4wx48fP378+M6PWVdX5+rqunz5ci6X6+bmFh8fn5iY6ODgkJaWZmlp+ezZs9jYWNgMOS4ubvHixb169fL29obxft0KIZtVtGI+712CyZUI3Aq2RL53nx4/7Snf+7OopLnDvGfPnq6urvn5+TNmzDAwMJBpBQEACv0t6fKKUm/8/7qeoandydPHtsF3MJRtJrpEYal34fTq1WvatGl4a6rOUFFR2Ebo9wAAIABJREFU4ezs7OnpKRKJPDw8Xrx4ER4e7uTklJuba2dnFx0d/ezZMx8fHxjyvWbNGkNDw82bN1MXQdN1ufxt8U9N+pEWTIf+Obb/aY3NdOjflJpE9gRgziw1jYowDFu0aBEAQGbZXzI4deoUAGDt2rXUiMvIyAAA9O/fn6gB4+Pj+/btCwDQ0NC4evVqXV0dHt0O+3cnJyefOHECwzDYDHnIkCHwU9gkmbKaIF0OLMBbfmB7awV4m1G2+4fC5fMk/y03WFVVtXv37ry8vMzMzGfPnsn+JWxY4TAgZ0S/5jVrHPpz35JeNQmaZ2oaFWEYNn/+fABAJ3vwtp8///wTAPC///2PGnGpqakAACsrK6IGlO7UERERUVlZOXPmTCDVvio9Pf3kyZNYK1XOo6KiiJpJa3yOO0JRWUmxu2tDZLjxpb+NL9yQ792HrqxMV9ekKyvLGfQENDqQyIz/JpKve8VH8dWx2Wx5efmSkpJ169Z18kgcwzA/Pz9HR0cmk2lnZ/f27VsLCws7OztY+icoKCgwMFBVVXXo0KEw6FdRUXHZsmUpKSmwwKxIJAoKCrK2tnZycgoLCxO1WbfoS0HS2FB1/He2syPLcVD+vPE1gWcxoRAmsFce9tbzOqy381eagkJ7huqx/YC4vq7mrJ/0m3w+f8yYMRwOR1VVdezYsS1/Ja6tKdm8ujboXM/TV4z8Lsjp9KCpqtE1NOkqqnRNTRqDztDSJuZSW+frTmmgWFxWVpaiomJ+fv66devgKrbDiMVib2/vSZMmFRcXjx079t27d3p6evb29hEREZqamteuXfPz81NQUBg4cCBsFQJ7IcTGxiYkJLi5ucEDjsmTJw8fPvzs2bO8FhWRCINsS/upNDyLyh1vU7b7B3Hj/9ekFxSyuQmvBAV5GIZV/3U8b8ZoMYfIQoItWbBgAfh6V3zFxcVnzpwhpFNx24hEIm9vbzwRBQDAYDDmzZvXsYbU0LsCpBaSAQEBsIHqoEGD3r9/j38zKSlp7969TU1NzUbAmyHDycAye2SUGqcMYXlp3vSRj2z+32vy2LYve/7E/AWTCtxmyyzAW1tbe+7cucuXLz98+DAoKKhZ4dA22u3KhJvwOm/ayJIf1vx/wwqxiPc+uT7qHi8tBROLK4/sz3eZImnqYBPQdjJr1ixAdGv7Nvjjjz8AAJ6entSIKywsPHPmTBs9UIlCKBRu3boV7wcJAKDT6TDorANdd2DpZmmF9fX1hUf1I0aMwBvgYBgWExOzdevWlgpbUlICDzjgZAwMDLZu3UpG36vPyBBKRMLKP33wFp2tIhYXrV9a8vN6UicD43pJ6lXbkps3bwIAZs2aRYEsNpu9ZMkS+DohIWHz5s0kCSorK5syZQpUg40bNz5+/HjNmjV4429YOrKxUXYLnpY8f/4cVmjT1dUNDw+vra3Fq/O4ubl9UrNlDodz7Ngx6FwFAKirq2/atCk7O3v+/PnwCzU1NatXr/7kC+4KCtcsZI7oN0BZAVrBTJveg1QUmPb98hdNl4hkN1TBMEwgEBw7duyHH344c+ZMS3di7TXZ7XabI5HUXDzFHDmg5uIprPWnpEQoLFwxv/zA9k+5rE/mf//7HwDgzz//JFUKTmhoKAAAv2FIhclkLl++HL5+8+bNTz/9RJKg/Px8JycnuFrdsWNHZGTkhg0bmlU5b3/jp0ePHsEDJn19/QcPHpSXl0+bNg03igKBoP0T43K5Z8+ehc0JAABKSkqrVq1KSUmZPn06/EJ5efnSpUs/+YKl+Fxco6KSouLVC7nRj00Cb2m6rmzrq3S6wQFfXvJbTlgQefOh2BdBpa9SLBbDFg0AAJFIBItUEc7jx4+tra0fPnyor69///59BwcH2LI8Ly8PNv5OTk5et26dmZnZtm3b2r5wDMP8/PwmTZpUVFTk4OAQHx9vYGBga2sbGhqqoaEREhISGBiI29f2oKGh4enpmZWVFRUVNXPmzIaGhuPHj9+6dSs7+5/kVJFIxGKxOnX9lCAsYAvSU1sWpsfEImEeC7SSf11fX3/gwIHp06fr6+v36NEjKyur2Rc0Fy5THuFYtmMzkLQaLCaurirZuJxz/XLPsyFaK74HtBYZ+v9Ck5Mz+O14w6P7DfdvtfvKPpmv2FcprbBCoZDwtEjInTt3hg0bFhMTY2Ji8vTp0wEDBtBotF9//RUqrKmpKaxybmxsvHnzZjab3cZQ0A80ZcqU0tLSCRMmvHv3TkFBwdraGsYe371718/P75NCuJWVldeuXZuamgoPOIRC4YULF6Kjo/HESrFYXFZW1qnr74wV7QC8tJSq08fK92+rDb4kqvpnKdrw+D5r7NCy3T+033/CjX/JHD2Ql/n+41/tEFSu+DAMKy8vBwDo6upSIIvFYtna2gYFBQUFBXl7e69Zs4bY8aWbg0+YMAG2yElMTDx//nx0dDT8DjwSh91TAQDy8vLwYKDlaFCXAAB0On3nzp0CgcDX11dBQQEAYG9vz2QyOz/hlJSUdevWVVdXm5ubP3ny5MmTJ7du3Ro/fnznRyaD69ev+/v7p6SknDx5MuzgXtaYITm2ZgbyDBddNfjfIBWFHFsz1jeDW2tDz+FwEhISMjMzGxoapP3J0vzTbvfccUEhuzY0sObiqfqHEXgHXe6bmNzJ9iU/rhNzZHTclUl91D2Wk5Ugj4B/L5lcvnwZALBo0SKSxm8GLEZhaGhIgaysrCx7e/vLly9fvnx5z549hDdzFwgEuDt08uTJpaWlGIYlJSWdP38ePz0RCAShoaGOjo5QYel0emsxLAUFBXhX5F9//VUgEHh5ecHDkXHjxhHi1czJyfnpp584HE6fPn1u3bp169atS5cuTZ48uTNjUpdHiAmF5bs8G2OfYnwBkIhpikrVx3/X/dlLkJ1ZH35db8dBtWmz2z+a8vBRWotXlW3dYHIlgq6qRvhsKV5g9ujRY+XKlSYmJhKJBJoQUmEwGHALpaio+NEvfxIFBQWurq6xsbFycnK7d+/es2cPvByxWCwQCPBlIDwSd3Fxefv2rZ+fX3BwcFhYWFhYmJ2dnYeHh6urK/5NOp2emZmpp6cXGBhoZ2c3d+7ce/fuQe/K4cOHFdoXA9I2Q4YMOX36NACAz+fDeDmSdsmEMHr06GPHjkVFRXl6eh7avNEOAACAOoO+1VgHACDCsNXMMgAAwDBaK/+4Ghoadnbwd61X0FbXMDj4Z+Hqb2vOHwc0Oibg05VVAZ2uf+AoPz21NvCs7safP+K5+S9qk6Y3xb8s3brBJPAWTYHguw5QXu3F0NBw8eLFsEITBdDpdKiqhNzw0rDZ7EWLFr1+/VpOTm7nzp24wgqFQj6fjzta4FIVV9iQkBCYpGtra7tu3To3Nzf8myoqKkVFRSYmJsHBwWZmZpMmTYqOjmYwGF5eXrt375YOF+gwffv2PXz4sEQiEYlEsGMBh8Pp7KCdt8/tpMzr5w+jLJy1VeFhxqshpkv01Jn2fdnzJwgK2R0YUCISFq76tnTbRsKnilG74sMwbN26dfhrd3d3UmWxWKzZs2fD169fv27PjrC0tPTq1asfzTq4desWjGI3NTX9pEic4uJiLy8vXV1deE8aGhp6eXnhZ1fx8fGlpaXNIrDbP3j7wdtkV1RUSO8IIyIiKAgsaicxMTG7du2ClW+P+fgwR1nm2Jo1OyPMsTXLHW8ts9F8+6n43SvHoX+zXIic4eZ5Mxxb22u2jYTPL3B1rjjk3ZlZtUZubi688cgYvCWbNm2S+ZoMsrKycNdUTExMe3aEeXl5V69eTUlJaftrN27cgF0be/XqJdMf0xowhkVP758iCTCGBU82S0pKqqysjIqKMjAwgJ8+fPiw/YO3E7FYbG1tjc9HekcYFhb2+PHjTxqNojNCUXFhQ1S4qIlXwP/nPEOIYcUCESYWAwx0rCY9jSFn8OvxprjY+vDrhE4WAAAMDQ3l5eXLysr4/9+8jURevnwp8/VnApvNzsnJaSPzgc/nb968ed68edXV1bNnz3737h08dW8nRkZG3t7eRUVFAQEBgwcPLi0t3bt3r4mJybJly1JTU21sbE6dOiUdgQ1jR6mBzWY3NDR8Pv8oZmZm69evd3FxMTIy2rBli+Z3y2nKKkby/yy0aQAYysvRlZV1PbaBTrgWRGWl9bdCZJwySiR0bR2FAR0psURTUDDw8a8Pv974NLLDE2sNY2NjBoNRXFxMTUrMs2fPZL7+TCguLmYymS1Pf3F4PN7mzZsXLFhQW1s7d+7cd+/e4al77cHQ0NDb27ugoCAgIMDa2rqsrOz33383NzdfuHDh69evBw8efPz48alTp5aVlU2aNOndu3cwdpQasrOz5eTkEhNld9ZsFSJt9H958ODBnTt3CgoKrly5knnhNMvJKm1Y775K8kH9DYP6G/r20RuvqZxja8Z06CdubG8kUksaY56wnKz4zCwMw8R1HGFpMSYWETJ/2C+XkFOoj2JlZZX5L4MHDyZVlkgkKi8vh6/5fH57kgfOnz+fn59/+PBhmZ/m5uY6ODgAAOTl5X18fDoQZi2NRCKJjIycMWMGdNHQaDS4EYTeFZGImH9cmbx79w6+EAqF+OFZdnb2zZs3oSuGPNEdRywq8/qJOXpgjr05zF5njrasOnW0k6PW3Q5lOVk13w7C/0b0k/Cah7m3n/oHd1hjhwqLCjAMkwiF4naHDX8UGFQM68uQzaBBg1j/gjsSSEIoFOIKy+Px2qOwZ8+eLSoqai3oPTMz09raGgCgqKjo6+vb+Rk+efJk7ty5+JkO3AjKy8sfOnSIVK3JycmBL4RCYV5eHnydnZ39999/f2rAP4lnhPb29hcvXpRIJGKxWJ1B44slAACeBMvmCQAAHNG/SfEMOYzXBFRUOyZFxXG8xjzXil93iWuqREX5NHk5TAI0Frjqbvi5w12wIaNHj+7Tpw81rU/4fP7FixfhawnJ5QIYDAbu01BQUGitYpY08+bNe/z4Maym0YwbN26sWbOmtra2d+/eISEhI0eO7OT0aDTalClTpkyZwmQyz507d/LkSQUFBXV19evXr1dWVkZHRxNSoU0m8OkAAJCTk8MPz/r165eQkDB48GBa64GRXQmdoe99WPO7ZY2P7gtLi+V7m6tPnSXfu08nR5U01GNC2VsrGoMh4XIZHVUutamzuK+iy/dvlXC5/Iz3NBqN/n/t3WlcU1fCBvCTEMjGEpBFNhcQkGUQq9bi3losauuKVXGp0xbFFRXnrdL6a0dLW2o7MlK12LdOVcSXSnFFcaGoRVsV3FjaSliUVUEIhIQQSO774ToZRhECJMR4n/+neEnOOdCePPeec+85lpZW898VvbOUZdKjr6OhQ4c6OTn1zvyuXC6Pi4vrhYoIIRwOR9NhuVyuNvP6ISEh6enpISEhT/9o//79K1eubGxs9PT0TEpK0snm1fS6icXFxfHx8bt37+bz+dbW1idOnCgoKMjIyKBvdtMHzRNQHA6Hvm4hhAwaNOj27duaWXBt6Tij27h9+/bRo0ebm5ulUum2yHVFY/3yAvr7C7j0eeUlPxf6irBorF8HDyFpo+H4j3de9krw6EuXfNXfNfkv/UvnT9FyWal2HTp0SDNH9d1333XpMbVuaHtSqe8rQtqdO3ekUin9f6o271coFFlZWb///rtarT548ODdu3ebmprWrFlD/180a9asujq9LHGQkpJCCJkwYcL9+/dXrVp1+vRpfdQCT5BdvlA01q/dK8Ki0T497bCnj+a87Jky2IkuMMu/36kAt/Kw+T0Zy0lJSamtffxE/4EDBxQKRU9a2Km2HVbfV4S027dvNzY23r1797ffftPm/XK5/Nq1a/n5+Wq1ev/+/QUFBXK5fOnSpXSHDQkJkUi0veO3S+gOO3HixMLCwoiIiNTUVH3UonP6miOkKCo9PV2pVIrF4pSUlPkR69gia8J+8pyazeNZzl3cwUNInVJJ6mpiPn4oazxQ/Xj7zRJFa0plbcv94rr933a72JSUFM0GvAkJCfQGki8MtVpNL2bf0tLy+++/a3Y0fZaioqKxY8empKTExcVt3bo1Kyvr+vXrI0eO3LFjB4/Hi42N1cy66xy9gUBFRYWpqWlAQAB9VyfoGy9gOFG1c0XI4vIsZs3rSYdVN9TXREdVNMq+e/D4Tr8ChTKxvFqRf1vyf/u7XWxCQoKmw8bHx+txLS5DUKvVmZmZ5eXlra2t2mw1LBaLx40bd+LEiZ07d3766ad0h3355Zf37NnD5/NjY2MPHz5sZdX+lgY95OXlRQgpLy/n8/l+fn7G0mH1NTTKYrHWrVtHv/bx8SGEKLf/b9l7c2LcHy8Pb2dqEuXmZObpaxMW0ZOKZOmn2z2ubmpqSD5k8/6anhTea/7xj39oXm/fvl3f1bHZbHpLKVdX15aWlk4zLDo6evPmzfQqVmq1esOGDVVVVTk5OYMHD05KSqI3gdMTzVIDDg4O7u7umkcPQX9a7hVVbVxl0teZVJVTSiWlGatnsdiWln1WbOhJ4Y3pp9vdIYJqktcf2isK7cIjGQYUExPT7ms9adth1Wq1paVlx+/funXrli1bJk+eTAihKGrt2rVVVVV5eXne3t5JSUmaNej1QfMci6Ojo6+vr2ZQ9znXe88Rmrl79jt81nzn17JL5yiFgm9rN3zuO1bz3unhxEBLSaG6qYkQclPWvLzoISFE0qr24JkSQtQ1PVprYPXq1ebm5oSQvLy8npSjjbYbnehk05NOFRYWSiSS1NRUFxeXhoaGjrtWTk7Ol19+Sb+mp8RHjhyZlJQ0depUzQpMeiIUCq2trevq6h49ejRhwgS91gWEEOnJlJqYzRbT3u6zNqql7F7Nti1N2b+xWBSbL+SPGie7cF55r4jr1f7Th9pQFvxJyeWEkBuNCk2H9eKbEkJUD3q0ee/KlSuFQiEhpIfrRGuDzpinX+vPjRs3Hjx4sH//fmdnZ4lE0vHJa25uruaUkZ7bDgwMPHz48JQpU7q0BlM3mJubi0QiiUTy6NEjIzpt7dWNeTl2DvaffKnbMk1sbFmmpqS5ZaiQu9PNnhCS3dh8rLaREMLq7g04tLi4OHpcrne+f1UqlUKh4PF4NTU19G1XevXXv3bh1FsoFMpkMs1zfrQ5c+boulHtc3V1raurKy0t1ay9C/pAb1jReC7V7uNt5q9PIYSYDRzktGs/oSh1UxNbICCE1O76uoerWJhYiwiHQ0jLS+a8uIF2hJDrjYrUOhkhhMXr0Xf0zp07PTw8CCFjx47tSTlaUqvVSqWSy+XW1tY+0TX0ITIyUvs3m5uby2SyJ8KS3kigF7i6ukokktLS0l74s+jK87LWaLcJxk1s/5rShCMcN7HXm9N9p0+fPnLkyLfffnvmzJmMjAxDN+e/BAcH01sYEkJ6f7q0lzeNYiZlUUHZounNd393SUylU/A/WCz2v6/7bcLXcvo6V3+6qdsVCUa/xjJtb3kUExNB4LhuF9v7jh8/npKSsnv37pSUlMzMTEM3578EBwfv2rWLfi2Xy3u5dmPssEYfhGbunsKgqeZ8wVDh47uKrTlsHyGXzefbrP6g28XOnDlTczqzYMECfY8nEELom4zpBzYKCwv1XV2XrF27tqWlJTg4eNq0aYmJifb29r3wB9Ho5a3mGEh6MqV88Qz+iFHOe5NNnV07eivbxP7vXzdduyw99mP36uL6/EUwcrQ5n+fJe7yKnoUJ241nyubybNZ0v8NOnjxZcwE0e/Zsna8d+LSJEycSQlxdXdlsdgePrhvE+vXrlUrl5MmTp0+f/uOPPzo4OKDDdqxXh0b1xG7z52web+nxZMIxIa0qd6G5m5vI9KMYpYXV/aIigUBA7wbSJfPnz9e8DgsL02l725eenn7t2rWwsDCxWDxjxoxeqFF7XC6X3oDNIHp53dcXlbpRWp98UH4pnWpWcH39reb/1WzgILWssTo6qunaZYeYnYLRE7Qph+PQ137LP6r+ZwXXx9/MY3A3WuLweRxr8/qIzAyKUpOWFh/bPt7OZvZf7zF17kevSduNb+33339f85reQ03frl69mpubGxoaWlRU9Bx22G3bthmqdmPssCyKavceLuPT+rBKkf2bWqEwGzjo19qGrOzsqVOnyuXy9PT0Dz7o/pkmGFxCQsKiRYvmz5+fmJho6LYYK2VRQXnY3NamJnazghBCTEwoU1Pr0Pdk505y7B3to2M5dl2bln60/TP5rxdd9h/t9sSesqig6fqvlKLJzM0j/VFD5q+/xsTE7Nu3TyKRRET06E5yMCy6w4aGhh48eNDQbdGW0Q+NanDs+5pPnmE5cx4vYPirr73G5XIHDBhQU1PT7vIK2vj1119jY2OvX7/+wQcfdPqkHeiPMZ5gPlcoZXPlioW3Kh5+eLeMPpJR2/h1UaXkh9384YFO3yZ0NQUJITar/4ctNK/Z9vdut8rMzcNq7mLRO8sEY197ZfTo1tbW/Px8Hq/7q0FduXIlNjb25s2bH374oQ62I4DuMsah0RcnCNvaunVrXV1dfX19RUWFZhmergoMDPT29uZyuSNGjFCpnrlDKeibMc69P1caz59Wy2SEPLV0H0W1VJYTdnd2xnm83e7PZ6SndLDd7qVLl/h8PpfL7dOnD72xTjeMGjWK3sR8yJAh+l6nEDpgjB32xRka1bkzZ85cvHhx5cqVe/bsmTRpkmZTSuhl9KQRm81WKBQ62c/shdfU1HTo0KG+ffvy+fzc3NzgqkJ22rE78ua/l9ZOEQkJIWKFso+pyQYnaxMLywEXbne7Iln66YefbHBJOMG2FDXn3aJUaq7PX7pxfakTFy5cuHz58rJly77//vvg4GDNyrHQy4yxwyIIn+nhw4eNjY12dnbV1dVCobAXnu2DZ3FycqqsrCwrK6N3GIBOURS1fft2lUrl6+tb9kP8xMI7d+TNcZWSpQ5WhJCbsuYGlbrnQUgIqfnso+a7vzffzWOZcQlhkeZmwZjxdp98pY/tsjvWtsOam5vb29v3cgNAg+6wpaWlvbZ3cQ+9CHeN6om9vT3dlywsLAzdFqZzdXWl+xWCUBtqtfrAgQP0I0BHjx4dMGIkq7KIyJttOSYjzHmEkEYVlS1TEBbLzKdny+NRlLL83u1bNyobmyZY8QkhWY0KcvrUqLL7LgeOszi9+vWCDvv80HRYYwnCF3OOEF4wxjj9bkASiUQgEBQUFNy/f9/FxSUoItJEICDkqSXvuTyb8HU9qUj2y8/Nd26WSOV35I/3r76raPmzQd5SWiI9frgnJYNRM7ppQlwRghHAjaNdYmNj88QCeI67DgSEzfUTWRBlMyFkvLVwvL3IZt2HPP+XelKRNPWIWi4jhFCEqChCCKFnWqimJumJZMtZ8zv8NLywjO7MFUEIRsDV1dXBwQHz2d1m5u7Z/9jF+h/3yy+lq5uaeP4BVvPfNXP37GGxqocV9ItTdbKCJiUh5L6ydW4fC0KI6lF1DwsH4+Xm5tavXz9O746N9wRuloHnXXFxcX19Pb2Vdn5+PpvNphdDB4N7+HGkNPXImTrZn03KNY4iQkhijZSiyAI7C/7wV5ziDxm6gWAAYrFYIpEMHz6cEJKTk8Nms319u79dSe/AHCE8765fv37y5En69c8//3zp0iXDtgc0LKa9zW5vZRmWQGA5K7T32wPPgxs3bqSlpdGvL168ePnyZcO2RxsIQgDoJv6wkcLX3vASWYyyeLwizFAh9yUbC57/S+aT3jRs2wC0ZzRjuMBkiYmJ2dnZhJCioqKVK1caujnwH/affPXSAHfJ3l2EzSaE+HBbSwJfe7QozFqhuHjx4qhRozrdTh1ePImJiVlZWYSQ4uJio+iwCEIwAqGhoR999BEh5JtvvjF0W+C/sdnW764UvbOspbiQUJRp/4EtxSUpKSleRUU2NjaHDx9+7733DN1E6G1G12ERhADQUywTjtkgL/q1hYWFo6Mjm80uLS0VCoWGbRiANhCE8Lzr16+fqenjTVw9PT2N6J5sBlKr1bt37/b393d0dFQoFFgJiIEGDhyo2VHS29vbKDosHp8AAABGw12jAADAaAhCMA4NDQ2HDx/+/PPPDd0QAOicRCLZs2fPpk2bDN0QrRjB6C0AIcTS0vKNN97AhqsARkEkEs2ZM+fcuXOGbohWcEUIRuOnn36aNm2aoVsBAFpJSUkxlg6Lm2XAaFRXV9vZ2Rm6FQCgFSPqsAhCAABgNAyNAgAAoyEIAQCA0RCEAADAaAhCAABgNAQhAAAwGoIQAAAYDUEIAACMhiAEAABGQxACAACjIQgBAIDREIQAAMBoCEIAAGA0BCEAADAaghAAABgNQQgAAIyGIAQAAEZDEAIAAKMhCAEAgNEQhAAAwGgIQgAAYDQEIQAAMBqCEAAAGA1BCAAAjIYgBAAARkMQAgAAoyEIAQCA0RCEAADAaAhCAABgNAQhAAAwGoIQAAAYDUEIAACMhiAEAABGQxACAACjIQgBAIDREIQAAMBoCEIAAGA0BCEAADAaghAAABgNQQgAAIyGIAQAAEZDEAIAAKMhCAEAgNEQhAAAwGgIQgAAYDQEIQAAMBqCEAAAGA1BCAAAjIYgBAAARkMQAgAAoyEIAQCA0RCEAADAaAhCAABgNAQhAAAwGoIQAAAYDUEIAACMhiAEAABGQxACAACjIQgBAIDREIQAAMBoCEIAAGA0BCEAADAaghAAABgNQQgAAIyGIAQAAEZDEAIAAKMhCAEAgNEQhAAAwGgIQgAAYDQEoS4VFBQ8fPjQ0K0AYKji4uLy8nJDtwKMD4uiKEO34cVhb2+/YMGC7du3FxQUZGdnh4SEcDgcfVR069at0tLSt956S4dltrS0pKWlicViW1vbCRMmuLq6tv1pc3Nzamqqm5tbQECADisF0KGhQ4d6enomJSVVVFRcunRpypQplpaW+qjo3r17165de/PNN/l8vs4LV6lUR44coSjK19fXx8dfCrfBAAAKE0lEQVSHEJKZmVlZWfnE20QiUVBQkM5rZygKdMfOzm7t2rUURe3YsYMQIpVK9VTR2rVrHRwcdFhgbm6uu7u7UCj08fGxsrLicrnx8fH0jyQSSWxsrLOzMyFk+vTpOqwUQLcCAgLefvttiqKOHTtGCMnNzdVTRfv27SOElJWV6aPwbdu28Xg8QsiWLVvoI2+//bb1f+NwOMOGDdNH7cyEoVG9CA8Pl0ql5ubmeio/Ojr6zz//1GGB7777rp+fX1VVVV5eXmVl5euvv75q1ara2lpCyKxZs3766ad169a5ubnpsEYA/Zk6dapUKvX29tZT+fPmzautrXV0dNR5ySUlJZ988smHH37Y9mBSUlJtG2KxmMfjzZgxQ+e1M5ZeBu6gpqZGLBaPHj2azX58qlFdXX3lyhWpVOrk5CQQCGxtbQcNGtRpOZWVlVeuXFEoFEOHDqUHSWhlZWVVVVXjxo1TKpWXLl0KDAxUKBQZGRlqtXr8+PEODg4qleqXX36prKz09fX19/fvtKJTp05xOBw6ufl8/syZM1NTUwsKCkaOHHn27FkTExNCyIEDB7r55wDoXfX19Xl5ecOGDRMIBPSRhoaGzMzM2tpaW1tbW1tbMzMzbfpFfX39L7/8UldX5+Hh8corr2iOP3r0KC8vb+zYsVwuNzMz093dXSQSZWRk1NXVDR8+3MvLixBy8+bNP/74w9nZecyYMZrvgY5RFLV06dIBAwZERkZu3rz5WW/bvXu3Wq0ODw/XpkzQiqEvSV8ozxoa/eKLL7hcrqWlpbe3Nz2psHHjxk5Li4uLMzMzs7e3d3NzY7FYmzZt0vxIMzRaVVVFCImIiLCysvLx8RGJRObm5idPnhwxYoSTk5O7uzshJCoqqqu/SEhIiJWVlUQiaXtwyJAhGBqF59mzhkYTEhIsLS35fL63tzc9axgSEtJpaadOnRKJRFZWVl5eXmw2e9q0aWq1mv5R26HR/v37L1682NXV1d3d3dHRkc1mx8fHL1iwQCQS+fj4sNnsSZMmqVQqbdr//fffs1iszMzMlpYW0mZotC2FQuHo6Lh8+XIt/yagDQyN6l1ycvLGjRtXrlxZW1ubn58vl8u5XG6nn8rOzo6IiAgPD6+oqCgsLIyKivryyy8LCgraffPZs2evXbuWl5dXXFwsFAqnT5++YsWKsrIysVi8YsWKmJiYuro6bZqalpa2cePGwMDAq1evJicnW1lZde1XBXj+ZGVlLVmyJDg4uKamJj8/v76+vu3gyrPU1tbOmzcvMDCwoqLijz/+SExMPH78+IkTJ9p987Fjx/bt2ycWi+/fvz9+/Pjw8HB7e3t6omHv3r1nz57NyMjotMaqqqoNGzaEhYWNHj26g7cdPHiwqqpq9erVnRYI2kMQ6t2uXbvc3NxiYmLoAUYtHT16lM1mR0ZGNjQ01NXVhYaGqlSqtLS0dt+8atUqT09PQohIJBo2bJivr++SJUtYLBYhJCgoSKVSFRcXa1PpvXv38vLyHjx4QFFUdXW19q0FeG7t2bOHx+PFx8drhknprtGx8+fPNzQ0REZGNjc319XVTZo0ydraOjU1td03z5gx49VXXyWEcDic8ePHUxT12Wef0ee7r7/+OiFELBZ3WuPq1atNTEyio6M7fts///nPt956S3/Tn8yEOUK9y8vLe/XVV7v6HEVhYWFra2v//v3bHiwtLe30g09cbpqZmRFC6JGWTi1btmzZsmVqtToyMnLhwoVazi8CPM/y8vK8vLxEIlGXPlVYWEj+HWMaz+qAbZOV7nEadH9UKpUdV3fy5Mnk5OSEhARbW9sO3paWlnbnzp24uLiOS4OuQhDqnUAg0HKq/IlP9e3bNz8/v+1BbcZUe47NZoeFhcXGxp4/fx5BCMZOIBC0trZ241OEELFYbGNjozmop8eCCSGbNm0ihKxevbrtmOfnn39+/Pjx69eva458/fXXw4YNGzdunJ6awVgIQr0bNGhQVlaWWq2m4/DevXvaXJ8NHjx47969jx490ubm0p7Lyspyd3e3tram//ngwQPy7+8CAKM2aNCgxMREqVRqYWFBCJHJZBUVFZ0OLQ4ePJgQkpOT0ztPKURFRUmlUs0/1Wr18uXLg4KCQkNDNQdzcnLS09MTExN7oT1MgyDUuyVLlixcuHD9+vUREREPHjxYs2aNWq3u9FOLFi364osv5s2bt2PHjv79+xcWFp46derTTz+lz0k1saoTra2tCxcupCjqq6++cnd3Lygo+Nvf/mZtbT1z5kxCSE1Nza1btwghUqm0urr6/PnzZmZmOCcFY7F48eI9e/a89957W7ZsUSqVUVFR2tw7NnHiRD8/vzVr1piZmQ0ZMqSysvL48ePh4eFOTk6EELoL67APzp8/v+0/W1tbly9fPnz48Llz52oObtu2zdnZefbs2bqqFDRws4wucTgc+o4YNpttYmJCzxwsWLDgq6++SkpKcnNzCw4Onjx5sjYjnA4ODufOnTM1NR0zZoyLi8ubb75ZVVVVX19P/7SkpMTFxUWHzT5z5oyPj8/s2bN9fX1nzpxpZ2d3/vx5BwcHQsjVq1eDgoKCgoKKioquXLkSFBQ0Z84cXVUNoEPtdsDAwMCEhITs7Gxvb+/AwEBHR0cPDw9tikpLS/P3958+fbqLi8uYMWNu377d0NBA/7SkpITL5drb2+v112mrvLw8KSlp3bp1pqamvVYpc2Ct0d4jkUjoBxLMzMw2bdq0ZcuW8vLysrKyp9/Zp08fzYhoY2OjQqFoO4VeUVHh4eGxefPmjRs3dqkBN27caHdU1sfHhx41ampqevDggY2NjZ5WaAQwIKlUyufzORzO4MGDX3rppcTExNra2nYfSRIKhX5+fvTrpqYmqVRqZ2enuSNGqVT6+/sPGTIkKSmpSw0oKCigV2t6Qr9+/fSxSA10gUGfYmQiuuP98MMPFEV9/PHH7f5HmTt3bgclzJ4929PTUyaTdbVqOzu7dqu7cOFC938fAKMik8kEAsFHH31EUdShQ4fa7RH+/v4dlBAdHW1hYVFUVNTVqqdPn95udZ999ln3fx/QBcwR6t2RI0f27ds3b968/v37SySS6OhoKyurN954gxCyYcOGZcuWPf2RDpa0l8vlEonk5MmT3biTJTc3V6VSPX28T58+XS0KwFjcunVr/fr1ixYt8vT0VCgU33zzTUtLy6xZswghM2bMqKioePojHQ8/5ufnJycnDxw4sKst+de//qVQKJ4+jgEYg8PQqN7l5OTs2rXrwoUL9+7dE4lEAQEBW7duHTZsmKHbBcAIJSUlu3btSktLoyf2fHx8oqKi6DNRABqCEAAAGA13jQIAAKMhCAEAgNEQhAAAwGgIQgAAYDQEIQAAMBqCEAAAGA1BCAAAjIYgBAAARkMQAgAAoyEIAQCA0RCEAADAaAhCAABgNAQhAAAwGoIQAAAY7f8Bb4HCtT0TVksAAAIlelRYdHJka2l0UEtMIHJka2l0IDIwMjUuMDMuNgAAeJx7v2/tPQYgEABiJgYIUABiRSBuYGRU0ADSjIxsCSCamYVYGqZPUAFkFiObAkSYA0IzsUNoZkLGs0NoZlzGY5iDZg8b2Hq4ckI01LUwLjcDI9DpGUyMTAlMzBlMTPJAkxOY5RhYWDOYWDgVWNkSWDkY2NgZOLk0mDi5Fbh5GLh5FXiFEnj5Mpj4+BP4ZBn4BTKY+GUYBAQTBIUymARFFISEGUREGUTEFMTENZjEJBgkJBkkpBgkpBlEQGHPxsjEzMLKxsbHLyAoxCvexQh0BQMsTk69+ezwqvXCfnBkPTvu8J+9BcwOKDrkMP35KzsQe1r2NIeL5u32ILb1xniH3fPUweJ7ZmQ58J5bCVYvHrzQ4Yf3NzD7xrFlDu/bog6A2KeLZB2YOfnA7BOL2R1aHzuBzemr+Gl/RVLAAcSO/p5pv30i2z4Qe8OpLnvpKefB5jysebPv4rp3YLtK7yjun5n7C6x3QgvDgUOlymC9Tat8D3QvvwIWZzjsdMBQVx+sXjr76n6RxFtgMyXn7N+vFfUVbGbll/YDy/dYgNk7GpoOyEzgBbvN6PfmA01s//aC2J/zdh6oebgObKZ2360DSSpNYPWTJjAcjM74AmZryX8/wGvjCLZL9+/eA0oWED8K5nAfiMpuBLstcLeQ/ckIMzD72vcJDrf/KIHZHqwvHe7/XQM2XwwAIuefIQBjVMAAAAL8elRYdE1PTCByZGtpdCAyMDI1LjAzLjYAAHicfVXLbtswELz7K/gDEbhPksfYDtqiiA20aa85BUWK9Nb/R2ephFIQorINSKvhvmZ2/fL86/Hp959HoUOK69v56/PfNC4+H2DP//m21tJPyTkf7lPcpOPdpy+XdHq4Pb5ZTtcfl4fvSTiJ4Aw+77G3D9f7Nwulz6kszuxm6YZw13ItKS+5X9tRTqfkC6tX0QBmIW06AUoH5uJq8VqtllYnOAVOl5KzI0v4M5dGE5wBJ4s2o8Z4TS4+xXnHOeooHAkKu+cZsABoS1aSJgFsrIS7j8CK3tjCRKUAiBxItfoE2NLpJfGiiCeUbhhnmgTgA5LADpCE9yVyK05cZ10kSld0pWltKBsejazMYhOnC8wtqkFsNAjEkM2QgnrQ6KqCNDrXVPKMawpu4Eqdaosy1J3KjESyFenCXHIkbK5lWnnwg9bkXDP448VMs/MMWVAR2s0kBg0jTyfxGUFUw6eASyHr4iiUy4xzaoEMV0XWNikUz7PwnNEmQLU5NNcFQl5pRhJTZKqYimqhJfDJhAmaQTm8Kuaioq5VIxD0LFeOCbox0KNQXKeUNcuMfFaoBNDSFF+0StzZpshOlC+VW10nPRN6MdMJe6RaMeHGrUNbbjqHloAWlM3Wp51qLXkaP4YJmYbuIz7qZ8hvCm0BxZCUqiATPVNEn4WXoCovVgTEQ1JVQdWs+6AcE6qLSWaTEB8UXWeSEu4LkSuUb9FQw5qbKf/ucn63SNfVerxezttqjQ9vC1TxK9uajEfZtqGGaVt6hEcZh70DbFthFHjaNhVeJt/2EYWH/dZRuBixKRLz1HY7hOCz7jYFxyEaAaBD6paREUWKcXCUgAlfLaMKTLL2o1uk+moZpWAytTsb2XNvnYHd3Zxpdz8q4MgYFh6eORqKgDSq4GgZAm7Ruedc4W+ndYoUeC9pioC8EVdfLaNSKJQjII9KO91hGXVJJ98QYSet1bJpQF4tI+dQ1V5D8fz21477wz9qgYgh8by5EQAAA7V6VFh0U01JTEVTIHJka2l0IDIwMjUuMDMuNgAAeJx1VsuK3FYQ/ZVAILRBLepd994hq9l45XhvvBga4wScjBlm6Y/3KfW4JToSdGtapXPqdU+V5tP7zxf+73L6cPr0/vO7x9Off+FSP5dLfS+n63WDuMjl9Pjt9mRzlTIzfv7243SWmbNZTjaTmfr0AAtRoz7J7G4UsOgsrK4TzxGsVwuZsk8ENlMyTDaLNe/TmeYUDumLjbIJT/ApzF1g8jnEjAvGYrR48zm7ZYd/jZCyxNykN5/OPBNHGkxtpsoBlk7dFJZEIPElidaSrp66JscSUIQbTJV0qlZAk3CRxWY9+uK+c7RKH0+DW5/qb6Al0wPhmXa9pqpsKPcB6TQrE7wKV93oHyMmeBkszQrTrfXqnzg7HCmiOZdrDo3OZYlwz3KjElFeLIj12qiO4hwNRvQlQzGQYUELExy4YzNYAh2PtrSEkB8siaxQ4zU9tKkwlGHVI/OWvRVGWhWK0F4l2ZxEUYdLHogIgyuJ1/mjFW3pTahIAtI9oBW0xlOrfJmbdc7p3fT0+vzvx5fn74Pmj08vr/88fXv8++nl65eZ/vjd4oGETTQMRSYlclQAi/Ph+fULMhq8SzPLRk0zm6MvmQbcjcU+5I51vtKgSW0G+aarm0cCuNJi6G4wD+rpWcqjSKgOuJWVw/aDuXdGO5BiGItSALhWRsN3gykLNO9kOKiGPgdwK4tH7LKiYcSg4aZFRGeAW1ky8ihF6aIQUsMcsyQDuNJ0tH0aN0giopOhkxBzA3Cl2ej7Rx29oSEgQ6VdXAPAleaDDyTyfx5vNYLbfZHsETcykRx8oBPFJGFxUM0yFo+1Qq5Hjtt9pUDEoOGwo3eMekYBV14ffK+VN55gBHtNZHPF3HABV54OvhfLW6LWSAkrCKOKk8S8FnIlws++XlQUw05CXYngpBVw5cnge8W86axjgjomDjOkWIxZwBsP9R0oxq2pCpl4aRoLrJBrPBp8r5lfUlN3DFBDa+qF0nshb0QbcqAZlwy0Rg2dVeoYHNloBgviXjLnX5ohTowQztC4YWm2gt6IuDuQDMa2svSOmD25dtBGMjHkQDGOZYu3iJtRa928gDca9tPBcsGrDsdWssbudwhuga4dHbK/XvCGwKxjwyTejFYTLxvB0JB7vRyXt90wQ/b1slPeRi+K6PeCOT6/jWB0yIFe9s5vIxilofeKeWMCik8NEXY2co5Crg3F0t/fMvg/AfOD8Y1KtmZXt0um//gJsLJ5hL1SPlQAAAKGelRYdHJka2l0UEtMMSByZGtpdCAyMDI1LjAzLjYAAHice79v7T0GIBAAYiYGCFAHYk0gbmBkVNAA0oyMbAkgmpmFWBqmT1BBAUSzKUCEOSA0EzuEZiZkPDuEZsZlPIY5aPawga1nwUrB9FBKQ70I43IzMAL9m8HEyJTAxJzBxKQGdE4CsyoDC2sGEwunAitbAisHAxs7AyeXBhMntwI3DwM3rwKvUAIvXwYTH38CnwoDv0AGE78yg4BggqBQBpOgiIKQMIOIKIOImIKYuAaTmASDhDSDhCSDhBKDpBSDpAKDpCKDlDSDlByDlDyDtAyDtCyDCDPQKWyMTMwsrGxsfPwCgkK8LJJS0hLi9xiBTmSAxXLbgc8Odzgv7Adx9mw77qC9ohnMDrc+5PAg4o0diN1nOM3hZXm7PYgd7BbvsPGmBlhc1jbLQXfxSrD6CI2FDvdYvoHZexcvc1iYGHUAxA5VkHX48J8XzD5gxO5w7qcT2JzX5T/sl8oKOIDY98Iz7OP+se0DsZslu+z1550Hm3Pnzft9U9jfge2aflF5v4fDL7Den+yMB/4GKIP1HlTxO+DuegUs/l3X+YCUuQ5Y/QmTa/vNsm+DzTR2P7DfcOZXsJkJqh0H5q+2BLN/rWw6IHkK4jZN/S0Hvi5gBqvnuLD5QEbXerCZvXtvHbh4oQmsflfI9wP/XK3B5vd/5Dv47LkpWPznUoaDLboQ849ueXKga7M72Eztt8IHpY8ag9kHLZQOLg04C1ajait7sELsL9icz185DwYu2gi2S67nyoFj22eD2Ylq+w4YtvKB9R7+x31APKIR7N/uhQL2dX5mYLbGtgkOatKQcNh98oXD66K1YL1iALAZv2/zHd+YAAADjHpUWHRNT0wxIHJka2l0IDIwMjUuMDMuNgAAeJx9VstuYzcM3ecr9AMWxJdELSfJoC2KsYE27XZWg2KK6a7/jx7qOroOQNSOAZv3iI9zSCo/vv/19dvf/3zV8VTi9dvrr9//LfvFr0+wt//5m3OWP6W19vSlxJfy/PmnX67l5e3T87vl5fbH9e33IrMo4QzeH7Gf3m5f3i1Ufi6jdhpsVC5UO5s0nKptvc6jXF5Kr6zUbASwsdtoCVAWsPU5VPFYO+Gd4BQ4rX2K6SzwZy46EpwBJ1Xde4/H1NWnJLi+cN3m9BYJChtPToADQKtNULQFcDI31gTo4MYqt4Hg5YIcCMiZAGd5+VG4qlmbQHJl8qFZ0QR1gCRiHVHEADdpbKJyAytTiTrIr5DH09jE5QrzbMMmFARBQi6ZMCSoB0QPn00PrbmRZcjQ5hLaeW+HiDpbxiXZgewyJ41IGBx4JiOFPqCmoR2QM1dDReQZcqAi0B1kQ2nkidboKUkePqU2nd3bag6nkbI0AwlXQ9T7qg39a1lJ3EAToNaYoFE0CNSULFOmyFQhjlrn8Iox4pFRyhxetTYXRr+vHjHtmU4cE3QxcApNx5IUuWpGAFrntqA0SQ1UySB0TIZcQvXqYtDqGGDCqGTQpdRALbOtSSNn9zR8jNLF6xTBtK/6Yz2kRfkBbdqM28EqWEsFmEHVqKSjYeShL3ETyWZellYTa8kU/QlWvaG7MwGElqwxH+7WVzMgmXT4hA+3zgNtEv0/VSjLVWKmUBZGCWqGAD5GzyZfNJC9dmXCTBH075buCLFAGmYfa8RWq3D3tK2lBxT7BOsGlaC9lFtLmRpAtmoY5G6YPle0VNYoaHQsM63GzHCPOQVS0trnujvAES6NKB2j37MsP19fP9w5xy30fLu+nrdQvPm8axSfcd4o8VPOi0PDdN4PhJ8yz3sgAHZuewq8n0sdD0s/VzeFh8cFrXCxY1Mk1sv2ji4g+NzusFQ5DhE9LE9all0ORYpxcJeAZXhYdhVYerqOnpH8btmlYInpcraz50WdQd2HlaTL/WmJjGGR81QQGtt6VxG9EwHP6Lxydvh7WAsUKfDj+FME5FM4v1t2pRhmjoC8K11yh2XXJUt8dOXOR/hu2Tlj0JZFzlPBM5Lis0/ssMiOLv1uOaOvnMdjLD8ssiuVebfsunTlDDY2P0qHRT50+WNPx+/3/8rw/ek/yRLZv/jdefcAAARhelRYdFNNSUxFUzEgcmRraXQgMjAyNS4wMy42AAB4nH1WTWscRxD9K4FAkGA11HdVj8hJF58c340PQhgn4ERB6Ogfn1ez8s6wmslhh5ne97qrq1697s8fvjzxP083H28+f/hy+3Dz+x+3D/L23s93r+c/+/d0c35uqE/ydPPw/fLP5ik9zHj95cfNnUxcaXKyifC8xzdxMJ9kcufqEZ1EaIwTT+GlsYyQjagTTRzFOTBkk7h5nO5oSnFJX8aoVPyEOYXdmulTKOUCYyk3O4/xYMP8mmyMkZhKPex0xxOJLJBhwrXMJFGFoUIM5NKYgcl7vZzYkvKE+FhIFUNjEnNrXlENXnhDdeQSKJMnhhjBaI2eKjCpLLySNMUObZiyLLOnDBq96ZIqW+YKEfeOvDJziTwQKAaEwzsmTJlqo5czbNhlGXMSznPoSD6G8G8UFu8Fw0bHQNOgdMTcuVIubAfpyLc4URLsBsVjsQQrg0OsIcOYA+UTlA8QnawqcqmV1dAeCR+jehpUR0ZPYyj2uU7VpfOJNN4ixErSI0LZ+8B8LNjifSC1THEuUnUiE4XMrnfH59oQipHnTUFU0RCkNbQz5o5S3dsUQ5cUEsTlPeAi2An0Z9WTYPuhYyAaBAPS6NRAHSMcoALITrenx9fnvz+9PP870/Tp8eX1r8fvD38+vnz7OtFvv1rcI98ozFAKRn4laADYnI/Pr18Ry8y7NDN2CHc4ZyS2NoC7sNhnuWLdnWmpSU7kgYx74AXAlRaz7i7mUgqxIg9hhoYT4FZWzra/mLsSCgt5Eztq5QBeaEKz7y6mYorWhW6ZaGQO4FYWz7HLQutlN3zG6LxLALeyZM6DEKMMqQ9R61avAnCl6Vz7NPZMHYz1VKKVCuBKs3nslxoyReYzA1Yj5CMAXEttM19L5O4n0cs8kXoJTzjCAl0XzJn3VUKhGdgaeHBIL5ZGrsSa+Voox8SNUrBhvpbKz1jH0mqIMlXgf5QNXZkx87Vc3oiOJihNtFgMVuNq5JoemnlfMHvEjWSUZ77WzP/kdSsbNN+1bo7TsxGO4vNaOcfEjXRUZ77WzlussAjrzoXAM6j3uNEOPmXfXvrcKTicwuoDndi4lYbPfeEw3JYZnQ6nh/OaNXDl6SwHBmMFc+m+IBgU1mzgyuNZ9h1GRXE6AJ8D54+VNHDl4XNfNCg4Thf4EmwU7RijgRcevq4l87PvsQRVixTHJOoRjVzXo1kOJMMK14VbaJViCopGXohI04FgYKG4oSgqh+USJ3cjLzzY8IHTUJs0SxIMQxGuW0MvRNT9QC8s8BpcEHDjwVVIYYGyEQyc/kAvuAjgHPQhKCBMrhp4oeWs13q5tL0pWiggGCcI1RbomtFZ942GzQaKAKNw3IsorIEXGs16YDPvt6dbl5l1Xy8729t6DD6PPOZd/XTrMbMeWcz7+ulGMIo0HRxNEjg2FVePcmgcIm/kmlDMs28xSAdOJdW+SzrOmAW4Lhg//gMhTQWRVlcuVwAAAABJRU5ErkJggg==", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ligands_by_name = {ligand.name: ligand for ligand in ligands}\n", "\n", - "In this section, we will create and visualize the MST, LOMAP, and radial networks for the TYK2 dataset.\n", + "mapper = openfe.KartografAtomMapper()\n", + "mapping = next(mapper.suggest_mappings(ligands_by_name[\"lig_ejm_31\"], ligands_by_name[\"lig_ejm_47\"]))\n", + "mapping" + ] + }, + { + "cell_type": "markdown", + "id": "d0be837c-0cf6-4a17-8e44-f548f7c9a314", + "metadata": {}, + "source": [ + "In the 2D depiction, atoms unique to one ligand are shown in red, and mapped atoms that change element are shown in blue.\n", "\n", - "Here, we will be using the `KartografAtomMapper` as the atom mapper for all networks." + "The same mapping can be viewed in 3D. The two ligands are shown left and right, and their overlay in the middle. Atoms with spheres of the same colour are mapped; atoms without a sphere are unique to that ligand." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "56117a03-6503-4317-9364-27e343a4911e", + "metadata": {}, + "outputs": [ + { + "data": { + "application/3dmoljs_load.v0": "
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Atoms missing from it are unique:" ] }, { "cell_type": "code", "execution_count": 11, - "id": "5b89da93", + "id": "98e127ef-8ae2-4546-bf15-3f86997421d2", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "{0: 0,\n", + " 7: 38,\n", + " 12: 12,\n", + " 19: 19,\n", + " 21: 21,\n", + " 28: 35,\n", + " 29: 36,\n", + " 31: 7,\n", + " 1: 1,\n", + " 2: 6,\n", + " 3: 5,\n", + " 4: 4,\n", + " 5: 3,\n", + " 6: 2,\n", + " 8: 37,\n", + " 9: 9,\n", + " 10: 10,\n", + " 11: 11,\n", + " 13: 13,\n", + " 14: 14,\n", + " 15: 15,\n", + " 16: 16,\n", + " 17: 17,\n", + " 18: 18,\n", + " 20: 20,\n", + " 22: 22,\n", + " 23: 23,\n", + " 30: 8}" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mapping.componentA_to_componentB" + ] + }, + { + "cell_type": "markdown", + "id": "2cd43a28-1a2e-496f-bf50-a7358e5323b6", + "metadata": {}, + "source": [ + "**2. `LomapAtomMapper`**\n", + "\n", + "Alternatively, mappings can be generated using the MCS-based `LomapAtomMapper`. For more information on configuring and using this mapper, see the [ligand network generation cookbook](https://docs.openfree.energy/en/stable/cookbook/generate_ligand_network.html)." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "01384f2a-99ce-400d-a988-82fd393c4ee5", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mapper = openfe.LomapAtomMapper()\n", + "lomap_mapping = next(mapper.suggest_mappings(ligands_by_name[\"lig_ejm_31\"], ligands_by_name[\"lig_ejm_47\"]))\n", + "lomap_mapping" + ] + }, + { + "cell_type": "markdown", + "id": "3751c772-506e-4e77-9485-64d1d5441e7e", + "metadata": {}, + "source": [ + "### Scoring a mapping\n", + "\n", + "To decide which ligand pairs to simulate, each mapping needs to be given a score between 0 (hardest) and 1 (easiest). The default LOMAP score applies empirical rules that penalize transformations known to be difficult, such as those with many unique atoms or ring changes:" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "f7c2e776-2b6a-42e1-ab54-ff2f3cf58ec2", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.33287108369807955" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "openfe.lomap_scorers.default_lomap_score(mapping)" + ] + }, + { + "cell_type": "markdown", + "id": "fc772ed2-f27d-4447-a498-1e8e5c6bc0d2", + "metadata": {}, + "source": [ + "This pair scores only about 0.33: replacing the methyl group of `lig_ejm_31` with the cyclobutyl group of `lig_ejm_47` means 4 atoms disappear and 11 appear. For comparison, `lig_ejm_31` to `lig_ejm_50` differs only by a small substituent change and scores about 0.9:" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "f3174968-f9c9-4d28-9e62-6b7ce5fd4c0d", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.9048374180359595" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "easier_mapping = next(mapper.suggest_mappings(ligands_by_name[\"lig_ejm_31\"], ligands_by_name[\"lig_ejm_50\"]))\n", + "openfe.lomap_scorers.default_lomap_score(easier_mapping)" + ] + }, + { + "cell_type": "markdown", + "id": "48456e21-f5f9-411b-94e3-c7a66cfbfde6", + "metadata": {}, + "source": [ + "## 6. Ligand networks\n", + "\n", + "Simulating every possible ligand pair would be expensive, and some pairs would not map well. Instead, a network planner uses the mapper and scorer to select a set of transformations that connects all ligands. The result is a `LigandNetwork`, whose nodes are ligands and whose edges are atom mappings.\n", + "\n", + "Here we compare three common network types:\n", + "\n", + "* A **radial network** (also called a star map), which connects every ligand to one central ligand. It suits exploring analogues of a single reference compound, but every edge has to go through that ligand, however poorly some pairs map, and the network has no cycles.\n", + "* A **minimal spanning tree** (MST), which uses the fewest, best-scored edges needed to connect every ligand. This is the CLI default.\n", + "* A **LOMAP network**, built with the rules of the [LOMAP](https://pmc.ncbi.nlm.nih.gov/articles/PMC3837551/) planner: starting from the scored candidate edges, it removes edges as long as every ligand stays part of a cycle and no two ligands end up more than six edges apart. The cycles give a consistency check on the results, and keep the network connected if an edge fails." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "de4592a7", "metadata": { - "id": "5b89da93", + "id": "de4592a7", "scrolled": true }, "outputs": [ @@ -2043,34 +2426,6 @@ "INFO:\tCalculate Mapping\n", "INFO:\tFind Maximal overlapping connected sets of mapped atoms\n", "INFO:\tFiltering bond breaks\n", - "INFO:\tTrying to remove edge 0-2 with similarity 0.8187307530779818\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 0.8607079764250578\n", - "INFO:\tRejecting edge deletion on cycle covering\n", - "INFO:\tTrying to remove edge 0-1 with similarity 0.9048374180359595\n", - "INFO:\tRejecting edge deletion on cycle covering\n", - "INFO:\tTrying to remove edge 0-6 with similarity 0.9048374180359595\n", - "INFO:\tRejecting edge deletion on cycle covering\n", - "INFO:\tTrying to remove edge 1-2 with similarity 0.9048374180359595\n", - "INFO:\tRejecting edge deletion on cycle covering\n", - "INFO:\tTrying to remove edge 1-6 with similarity 0.951229424500714\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 0.9048374180359595\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 0.9048374180359595\n", - "INFO:\tRejecting edge deletion on cycle covering\n", - "INFO:\tTrying to remove edge 3-7 with similarity 0.9048374180359595\n", - "INFO:\tRejecting edge deletion on cycle covering\n", - "INFO:\tTrying to remove edge 8-7 with similarity 0.951229424500714\n", - "INFO:\tRejecting edge deletion on cycle covering\n", - "INFO:\tTrying to remove edge 8-9 with similarity 0.951229424500714\n", - "INFO:\tRejecting edge deletion on cycle covering\n", - "INFO:\tTrying to remove edge 9-7 with similarity 0.951229424500714\n", - "INFO:\tChecking edge deletion on distance-to-actives 0 vs 0\n", - "INFO:\tRemoved edge 9-7\n", "INFO:\t#################################\n", "INFO:\tMap Heavy Atoms \n", "INFO:\t#################################\n", @@ -2205,7 +2560,44 @@ "INFO:\tBuild Distance Matrix\n", "INFO:\tCalculate Mapping\n", "INFO:\tFind Maximal overlapping connected sets of mapped atoms\n", - "INFO:\tFiltering bond breaks\n" + "INFO:\tFiltering bond breaks\n", + "INFO:\tTrying to remove edge 0-2 with similarity 0.8187307530779818\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 0.8607079764250578\n", + "INFO:\tRejecting edge deletion on cycle covering\n", + "INFO:\tTrying to remove edge 0-1 with similarity 0.9048374180359595\n", + "INFO:\tRejecting edge deletion on cycle covering\n", + "INFO:\tTrying to remove edge 0-6 with similarity 0.9048374180359595\n", + "INFO:\tRejecting edge deletion on cycle covering\n", + "INFO:\tTrying to remove edge 1-2 with similarity 0.9048374180359595\n", + "INFO:\tRejecting edge deletion on cycle covering\n", + "INFO:\tTrying to remove edge 1-6 with similarity 0.951229424500714\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 0.9048374180359595\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 0.9048374180359595\n", + "INFO:\tRejecting edge deletion on cycle covering\n", + "INFO:\tTrying to remove edge 3-7 with similarity 0.9048374180359595\n", + "INFO:\tRejecting edge deletion on cycle covering\n", + "INFO:\tTrying to remove edge 8-7 with similarity 0.951229424500714\n", + "INFO:\tRejecting edge deletion on cycle covering\n", + "INFO:\tTrying to remove edge 8-9 with similarity 0.951229424500714\n", + "INFO:\tRejecting edge deletion on cycle covering\n", + "INFO:\tTrying to remove edge 9-7 with similarity 0.951229424500714\n", + "INFO:\tChecking edge deletion on distance-to-actives 0 vs 0\n", + "INFO:\tRemoved edge 9-7\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Radial network: 9 edges\n", + "MST: 9 edges\n", + "LOMAP network: 14 edges\n" ] } ], @@ -2217,28 +2609,32 @@ "from openfe.setup.ligand_network_planning import generate_lomap_network\n", "from openfe.setup import KartografAtomMapper\n", "\n", + "# Create a radial, choosing the first ligand as central ligand\n", + "radial_network = generate_radial_network(\n", + " ligands=ligands[1:],\n", + " central_ligand=ligands[0],\n", + " mappers=[KartografAtomMapper(),])\n", + "\n", "# Create an MST network\n", "mst_network = generate_minimal_spanning_network(\n", - " ligands=ligand_mols,\n", + " ligands=ligands,\n", " scorer=openfe.lomap_scorers.default_lomap_score,\n", " mappers=[KartografAtomMapper(),])\n", "\n", "# Create a LOMAP network\n", "lomap_network = generate_lomap_network(\n", - " ligands=ligand_mols,\n", + " ligands=ligands,\n", " scorer=openfe.lomap_scorers.default_lomap_score,\n", " mappers=[KartografAtomMapper(),])\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=[KartografAtomMapper(),])" + "print(f\"Radial network: {len(radial_network.edges)} edges\")\n", + "print(f\"MST: {len(mst_network.edges)} edges\")\n", + "print(f\"LOMAP network: {len(lomap_network.edges)} edges\")" ] }, { "cell_type": "markdown", - "id": "41cd9718-0c2e-4b59-86ee-8dc429915de1", + "id": "7f5b9679-3351-4918-8fdd-59ae027ac64e", "metadata": {}, "source": [ "We can plot out the different networks to visualize their structure and to see how ligands are being tranformed." @@ -2246,26 +2642,38 @@ }, { "cell_type": "code", - "execution_count": 12, - "id": "f4e3ac10-236b-4ff4-a69e-600706288164", + "execution_count": 16, + "id": "9d733974-5ee4-4f7d-8482-9ba23961b6f2", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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" + "
" ] }, - "execution_count": 12, "metadata": {}, - "output_type": "execute_result" - }, + "output_type": "display_data" + } + ], + "source": [ + "import konnektor\n", + "\n", + "radial_figure = konnektor.draw_ligand_network(radial_network, title=\"TYK2: radial network\", node_size=5000)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "de7946c6-9fcf-4abc-9fdc-49b708dc0436", + "metadata": {}, + "outputs": [ { "data": { - "image/png": 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", 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Gws/PD+vWrZPTHrNPnxZBlrGIii5RTffdd9/JcE5Uey1atEhOG71z546sssuJuF3misDstMFb5kotsb+DBw/Kz3///Xf06tVLHsdUj9VSac9ReHi4rKbMTebqNHMSU1aF3MJcXe4rgmGxTiARERHlj4EdERGRhRFTE0VoJ6ZHigokUYF19uzZPO8jwjltZd3o0aMZ1lk4EWIJojFJbtNPRcWbqYhpmSNHjsxYg/HEiRM5NqUQ0zpza4IhqqL27t0rP2/QoMFTj1U79dvcj9VS1KtXL2MKrjbQzOucFoR2urEhqvS069tt2LBBpymx2X+maSsJ9W1IQkREZK8Y2BEREVkg0TV169atch08bWiXW2VL5rBOVNiJabFk2bTrG4q13ZKTk5+6XjSC+O233wx+3Lyq44TMVX65TY+cPXt2RgOBzH7++Wfcvn1bft63b98c13IU3T9zakbx4Ycfwt7UqVMnowmGdpppdsuWLStU8wUR+gvR0dEorOHDh8vQTexr8uTJed5WhJCZQz1RTajtlisaj4jXfV4K2iCGiIjIljCwIyIislCiI6Y2tBNTEUVod/r06Sy3WbBgQUZYN378eHz99dd6HePmzZsZnTpnzpxp0PFT7tq1ayern0Qw8fLLL2dMJRVTI//44w95fV6NDApKVDeJSikxFVZ0qM28xpio6hQNKLSBsWgIkZ2oBhQVdv37989oICECxyVLluD111+XX4tgJnNnXdEduFSpUvLzIUOG4NixY1m6h4pp3wXtDmzNxPectiGMOPdiGrJ2+qs4pz/88IOsehTTpgtKrE+onYKdV/ddXQNG0cRGENOne/fuLYNlbdAoXkMikP3ggw9kN2JxXfbO1aKSU0wFF1P/f/zxR7lmo5aYGvznn3/KqdqiGQsREZG9Y2BHRERkwUTwIaYLivBEvKEVoV3mKiXtmnXaMEasFZXbJgI9sgwVK1bMqFISIUWJEiXkcywajojqNPFR3/BVFyJcEdMvX3vtNRmqiI60ovOrWNOuQ4cOMoQrVqyYDFNyEhQUJBuZiFCxZMmSci06UcUlmleIkEk0tBBBU/ZgSgTLoluqWI9RTJf18PCQm5gqKRpgrFy5EvZIBJ/aEOzXX3+VrwPtOR02bJgMTsVzJYjnSl8iBBT3E+vGidBU/BwQjT/Elrljr65EdZx2vKtXr5ZTnEWIK15D4jgi1HvvvffkNOjszTTKlSuHbdu2yWOLP0AMHTpUhpHi8YpwWry2evbsKbsn51TBSUREZG8Y2BEREVk4EXCI0E68uRXrionQTqwxJmSeRieaVOS1Za5mIfMT0yB/+eUXGcqKqahiGqGYIjlt2jT5/IrgzNBeeOEFeUzRtVWEa6J6U7wuRGAixiGqo0SoJjrF5kaskSgqwkTAJ6oExSZuP2vWLFkxJ6qosuvSpYtci61z584ymBRr4YmQR4zj+PHjaNOmDeyVCEBFaCsqDcXzIKYtV61aVYZj4jyLbrpCThWPugTDu3btks+7CMTEzw8xxVZs4jnQl5gmLcYrnjMR0oo1GMVl4jUkfj6J6k1RqSuq67Rr3mUmAr7z58/LafvPP/+8fA2IKdEioBNjFQGm+MODOB9ERET2zkFjyl7xRERERGR1li5dKsO10qVLy2nUZDoi+BJVkSIQnT59Ok89ERGRnWCFHRERERGRBdqzZ09GB1lR0UhERET2g4EdEREREZGZiCnGooLx4cOHGVPcRSdW0RhE21lVTINv2LAhnyMiIiI74mjuARARERER2asDBw5g4cKF8nMXFxfZxEEEdtrwTnTZFesOEhERkX1hYEdEREREZCZibTrRGfXff//NaA4jGjhUr14dPXr0kM0dRIhHRERE9oVNJ4iIiIiIiIiIiCwI17AjIiIiIiIiIiKytimxarUa9+/fh5eXFxwcHIw/KiIiIiIiIiIiIhsi1qiNi4tDsWLFoFAoCh/YibCuZMmShhofERERERERERGRXbpz5w5KlChR+MBOVNZpd+jt7W2Y0REREREREREREdmJ2NhYWRCnzdkKHdhpp8GKsI6BHRERERERERERUcHostwcm04QERERERERERFZEAZ2REREREREREREFoSBHRERERERERERkQVhYEdERERERERERGRBGNgRERERERERERFZEAZ2REREREREREREFoSBHRERERERERERkQVxNPcASH+paWm4ffcOQiPCEB4eLj+GRUQgNi4W6enpSFepoFQo4OjoCA93DwQFBCAoMAhBAYEIDgxCqeIl4e7mxlNPRERERERERGSBGNhZOI1Gg8vXruLMhXM4e+k8Tp87i6s3rslQTkupUMJB4QCNWgP5T6OBg4ODvE6hUMivVZluL64rVbwEalevieqVq8qtZrUacHLky4GIiIiIiIiIyNwcNCLNyUdsbCx8fHwQExMDb29v04zMjqWmpuLIiaPYtX8vtu3ZiYioSHm5o1KZJagrLKVSCbVaLQM9UXHXskkztG7aAk0bN4G3l5fBjkNEREREREREZO9i9cjXGNhZCBGanTx7Gr/9tQo79u5CckqKDNQyV8YZm/Z4oiqvcb0G6Ne9D1o2aSqn1hIRERERERERkWkCOyYxZpaQmIgN2zdj2eoVuHrjepaQzpRhXebjiaq7f48fw6Gj/yLQPwD9e/RGzy4vyjXwiIiIiIiIiIjIuFhhZyaJSUn4ddXvWLLsJ/m5WFdOh9nJZiEq7sT4enftjtcHD2NwR0RERERERESkJ06JtWBp6elYs24tvvlhEaJjYyw2pMstuBPTY199aQCG9BsEL09Pcw+JiIiIiIiIiMgqMLCzUAf+PYyZn83GvYcPLLqiTpfgzt3NHRNfG4M+L/SQXxMRERERERERUe4Y2FmY+IR4fDJ/Ltas/1uGW2KNOFvRqG59zJ42E8WLFDX3UIiIiIiIiIiIbCKwY2mUCarqOr/cC39tXCe/tqWwTjh2+iS6DuiFlX+vsdqKQSIiIiIiIiIiS8LAzogdV79c9A2GTxqDiKhImwvqMj/O5JQUvP/5HIx+eyISEhPMPSQiIiIiIiIiIqvGwM4I4uLjMeqtCfh++c/ya1sN67Lbe/gA+gwfhNv37pp7KEREREREREREVouBnYHdvHMbvYcNxIH/DsPeiGBShHW9hg7A4WP/mXs4RERERERERERWiYGdAZ0+f1aGdfce3rebqrqcpsgmJiZg2MTR+GfLRnMPh4iIiIiIiIjI6jCwM5Djp09i8PjXkJScJEMre6bWaGRgOfXD97B63VpzD4eIiIiIiIiIyKowsDOAk2dPY+iE0UhNTbXbyrqciJ6x7336IdZs+NvcQyEiIiIiIiIishoM7Arp/KWLMqxLS09jWJeL9z7+ABu2by7sqSYiIiIiIiIisgsM7AohLDwcIyePQ0pqCsO6fCrtpn44Q1YiEhERERERERFR3hjYFVBKSgpGvT0B0bExDOt0XNdu9NsT8TD0Eb8niYiIiIiIiIjywMCuADQaDWZ+/hEuXL5k9w0mdCXW9ouNj8OotyYgOSW5IKediIiIiIiIiMguMLArgOVrVuLvzRug1rDBhD5E99zL165i5mcfFeS0ExERERERERHZBQZ2erpx+yY+WzDPOM+GHRAh5z9bNmL73l3mHgoRERERERERkUViYKdnhdjU2TNZWVdIDg4OmP7Jh4iOiS7sroiIiIiIiIiIbA4DOz38uup3nD5/luvWGWANwPj4OHzw5aeF3RURERERERERkc1hYKej2/fuYu53C4z7bNgRlVqNTTu3Yuf+PeYeChERERERERGRRWFgp6OvFi/gVFhDv/gcHPDJ/LlIT0839K6JiIiIiIiIiKwWAzsdnL90EZt3buNUWANTazS4c+8u1m5ab+hdExERERERERFZLQZ2Ovhi0ddQKpXGfzbstAHFvCULkZySbO6hEBERERERERFZBAZ2+Thy/CgOHf2X1XVGbEARGR2F5Wv+MNYhiIiIiIiIiIisCgO7fHy/fCmUCp4mY4d2P/3+K9K4lh0REREREREREQO7/DrDHvz3sOxoSsYlqux27tvN00xEREREREREdo+lY3n44+81ULC6ziTEeea0WCIiIiIiIiIiVtjlSjRB+OOfP1ldZyJqtRpHTx3HtZs3+H1JRERERERERHaNFXa52LlvD+ITEkz7bNg50Yl3zYa/zT0MIiIiIiIiIiKzYmCXix379sgAiUxHpVJh667tsgkFEREREREREZG9YmCXg9S0NOw5tE8GSGRa9x89xPVbN3naiYiIiIiIiMhuMbDLwbFTJ5CYlGT6Z4Nk84ldB/bwTBARERERERGR3WJgl4NdB/ZyOqyZaNRqbNuzy1yHJyIiIiIiIiIyOwZ2OTj43xFOhzUTsXrduUsXZJdeIiIiIiIiIiJ7xMAuGxEU3bxzyzzPBklqtRqXrl7h2SAiIiIiIiIiu8TALhsRFInAiMzHwcEBZy+e51NARERERERERHaJgV02YjqmCIzIvI0nzl26yKeAiIiIiIiIiOwSA7tszl++KAMjMh+VSoXT58/wKSAiIiIiIiIiu8RkKpvbd+/k2nDixY5dcH7fURQrUlR+PXvaDGz74x+Y29Kvv5ObOfXs0k2em6Nb9j513YCeffH7op9wYN12nNxxEDtWr8fnMz9ChTLlct3f/YcPjTxiIiIiIiIiIiLL5GjuAViah6GhOt920dLvscxjBcztgy8/NuvxgwODMHnUG3gUFgovD8+nrvf18cG+wwdx6dplxMTFoWSx4hj28mCs+G4peg0bmGOTD9H8IyExER7u7iZ6FEREREREREREloGBXTYRURE6n7w79+/BEly7ecOsx5/x5lQcPXUCMXExaN+izVPXz/9xcZavj548jlPnzmD9stXo0q4D5v+Qc3VgWEQ4PNxLGW3cRERERERERESWiFNiMxEVXUnJyTqfvJymxHp5euKDt6bj0IYdcnrot59+hRJFi8vpoqNfHaHXk+Pk6IiRg4bKYEtMJd2/bhtmT30Pfr6+eU6JFVN2xfGG9BuIof1fkWM8vn2/vE3pkqXgqFRiwsgx2P3XJhzZtBtfz/4M/r5+KIiu7TqiYZ16elf5RUZHyY+5TT8WwsLDCjQmIiIiIiIiIiJrxgq7TMIjda+uy4noLrvw47moXqUqFvy4RDawqFOjJhZ/8XWB9jV/zheoX6sufvj9F5w8cxpFixTFmCEj8PPX36H3sEFISU3Jcx/9uvfGpWtX8cHcT+Dt6YUpo9+Q4zt9/izS09Px7pxZMtybPHo8Zr01HWOmTtRrjCLke3vsJHy5aL6cDpsf0cxDqVSiRNFimPjaWHm+/9q4Ltfbiwo7IiIiIiIiIiJ7w8Auk9R8ArD8NGvcBPVr18X7n8/Byr/XyMsOHT2CtLQ0GVDpo0Prtmj2zHMY985kbN+7K+PyS1cvY9X3v+LFTl2wcu3jY+QmLj4OY6dNgkajkV/7+vhi2vg3cePWTYyZNinjdmVLl8ErffrDw90DCYkJOo9x+qS3cePOLaxYu1qn2x/bug8uLi7y8xu3b2HwuJF4GPoo19unpKbqPBYiIiIiIiIiIlvBKbGZpOcxPVMXDerUkx8379yW5fKN27fova+WTZoiJi4Wuw/slVVp2u3i1cuy8qxRnfr57mPv4QMZYZ1w/dbjte72HNqf5XbXn6yBVzSkiM7ja9uiNVo1aYYZn36o8336jxqCl0YOxpRZ78pgcOm8RXl2is1ruiwRERERERERka1ihV0mmcOtghDdUNPS02XQlll4VKTe+wrwC4CPlzdO7z6S4/XZ17HLSUxs1nGkpaU/vjzb+NLS0+RHF2dnncbm7uaG6ROmYPmalQgND5Pr9glOjk7yo/haTLnNvh7ghcuX5EcxJXfn/r3YvOIvvDFidJZqv8zUGrVO4yEiIiIiIiIisiUM7DKfDGXhTkd0TIxsFCGCtsyhWKB/gN77ioqJRlR0NEa8OTbXBhnmIqbWBgYE4tV+A+WWnWhksWPfboyd9mau+0hMSsSN2zdlEwxjPR9ERERERERERNaIiUjmk+FYuNNx9ORxDHv5FXRo0zbL+nKd2rTTe197Du5D5+fbQ6lU4PT5c7AkolnEK2NHPnX5sAGvyI6xI98cLwPH/KoRK5WrgONnThnt+SAiIiIiIiIiskZMRDLx9/Mr1Mncd+Qgjp0+iSmjJ8DT3RPnL11A7Ro10a19Z72neG7csRVd2nbEok/n4dfVK3Dm/Dmkq9IREhSMRvUaYOe+PbKKzRxSU1Px38ljT10uGmGoVeos13l6eOD7Lxdiw/bNuHX3NlJSUlCmZGkM6PUSnJycsfCnJbkeJ8DP32iPgYiIiIiIiIjIUjGwy0RMZRVVXWL9tYKugTf6rQmYMmaCrDYTa7qdOHMKb304HSu++xlxcXE670utVmP01IkY2OslvNC+E4YPGCybMDwMDZWVfFeuX33q2JZIdHq9dO0y+rzQHUWCQ+Ds7ILwiHD8d/I43pg+BdeeNLzISXBgoEnHSkRERERERERkCRw0OiQ9sbGx8PHxQUxMDLy9vWHLWnbvKBspGJKY2vrZjNno//oQnDx7Goa25ofluH3/LiZMfwu25OD67XK9PCIiIiIiIiIia6dPvsYKu2zElNPCBHad2rRHSFAQLl+/CrVag9rVa2BIv4FymqihwzrRsKF+rbqoWK481m3dCFsiGk74ePuYexhERERERERERCbHwC6b4kWL4dylC3JKakEkJCWgY5uXMXLQULi5ucnpn2s3rce8Jd9m3EapVOa5D3FsXaa4jhgwGC2bNMc/Wzbi979WwxAcHBygUCjyvI2YmmtsgQEBcixERERERERERPaGgV02VSpUwtbdOwp8Qvcc3C+33BQrUhTbV63Lcx8LflyMBT8tzvdY78yZBUMbNXg4Rg8Zkedtnu/dFfcfPoCxiMCwRpVqRts/UWZJKSl4GBmBBxHhiI6PQ7pKJTelQglHpRKebm4o4h+AIgEB8Hb3YJBMRERERERERsfALpvqlasWuLpOF2HhYeg9bGCetzH0Gnr6+OOfP7H74L58H4MpngciQ4qKi8PJq5dx4solnLhyGaeuXsGjqAjEJyXpvA8XJ2cE+fqiWumyqFepMupWrCw/Fg0IZJBHREREREREBsPALpvqlavAmNLS0+WUW0sVFhEuN3MSgSkr7MgQ32sHz57GhsMHseHQftx8UhWqfDLlW1WAYD4lLRV3w0JxPzwMO08clZV4QoC3D9o3egadn3kObeo3hJe7O59AIiIiIiIiKjAGdtmIrqTBgUFmrXIjoKSfJ9JSkuDk4sbTQToT6ytu/vcwVu/egY1HDsrqOTGtVRusydsYoIJWrdFAnWmfEbEx+GPXdvy2fYs8XovaddG9WUv0btUGnm4M74iIiIiIiEg/DOxy0LBOPWzetd0kzRXoacF+vkh6dA3XH12Ds7sXPPyC4eEbDDefACgUeTfsIPv0KCoSP2/agMXr/8KDiIgsIV3msM6YMh9v18nj2Hn8KKZ8Nx+D2nXEsC4vomrpMiYZBxEREREREVk/BnY5aPVcc2zYvsX0zwbJ6YrP1vj/tOTUxDi5Rd27BgeFEu4+ARkBnpObJ9cNs3OX79zGR8uW4s+9u2VnZbVGbdKQLjfadTATk5OxZP0/WPTPX2hSoxamDRiMVnXrm3VsREREREREZPkY2OWgaeMmslOpMZtPUM7EdMWGVSvleJ1GrUJCVKjcBCcXd7iL8M4vGO4+gVA6OvG02gmxhtzsX3/CL1s2yu9Vldpyq2G1Yzty/iy6vD0RLevUw4fDXpMNK4iIiIiIiIhywsAuB95eXqhfqw6Onjohq3bIdNzd3NCgbiOkxEVCrUrL87ZpKYmIeXhTbnBwgJuX/+PqO79guHj4sPrOBsUmJODT33/Fgr9WyXA3+1pylky7dt6+06fQdMwIucadCO7KFClq7qERERERERGRhWFgl4vnm7eSgR2ZjlKpROumLVCqxjPQaNRIjot+XFEXHYrkuKi876zRICk2Qm7hty5A6eQMd9/gjOmzjs4upnoYZCTbj/2HkZ/PQWh0lFVXv2or7tYd3IdNRw7io+GjMLxLN1kpSERERERERCQ4aHQoIYuNjYWPjw9iYmLg7e1tF2cuLCIcrXt2ZuMJE/v+y/lo0vCZpy5XpaUiIToMCVGPZICnSk3Ra7+i4k5bfScq8RwYjlhVVd3UJQuxdNN6KBwUGevU2ZLnatTCd29ORdmixcw9FCIiIiIiIjISffI1BnZ5mDRjKrbu2cnQzgQcHBxQrEhRbFmxNt9KI5ExpyTGIvHJenZJsZGyIk9XCqWjXPNOrn3nFwxnVw8DPAIyBrHu28sfzkBoVGTGlFJbpFQo4eSoxFdjJ2Jgu47mHg4RERERERGZObDjlNg89OvRB5t2bjP080O5GNCzr07TAkW45+rhIzf/EhWhVqUjMSY8oyFFWnJCnvcXt4+PfCg3wcnNQ06b9fALkV1oRaBH5vfr1k0Y89Vnj9eps+GwTjtNVpWqwmtffIwz16/ho+GvwZGvQyIiIiIiIrvFCrt8Krm6DOiNm3dusfmEkTk7OWHP31vg41X4KdepyQkyuJMVeDFh0OjRlMDBQQE3n4AnAV4wnN292LzCxNJV6Xjn+0WY/+cq2CMHOKBFnbpY9u4s+Hl5mXs4REREREREZCCcEmtAq9etxXuffmjIXVIO0wF7dumGmZOnGfzcaNRqOWVWrHsnQryUhBi97u/o7JqpeUWQbGZBxhOflIh+70/HrhPHoIH9dmhWKhQoERSM9R9/iXLFipt7OERERERERGQADOwMKC09HZ3798D9hw9tcrF7S+Dk6IStf/yNkKBgox8rPTX5SfOKxxV4qvRUve7v6uWXUX0nPhfTc8kwYhLi0W3qmzh+5ZJNr1enT5Dt7+2NLZ/NQ+VSpc09HCIiIiIiIiokBnYGtnnXdkx8721D75ZEAwiFAq++NACTXh9n8vMhm1fER2dU3yXFRolLdb6/wtFJVt2JAE80r3BycTPqeG29E2ynt97A6WtXGdZlC+18PDyw/cv5DO2IiIiIiIisHAM7AxML3vcaOgCXr1+1+cXvTc3D3R3bVq2Dr7ePuYcCVXoaEkX13ZMALz0lSa/7i/Xu5NRZv2C4eQdAoVAabay2Ng2269uTcOzyRYZ1uUyP9fPyxs65C1C+eAnTP0FERERERERkEAzsjODQ0X8xdMIoY+zabonppBNGjsawlwfD0ojqu9Sk+MeNK6JDZRdasR6erhwUSrj7BMLDL0h2n3Vy9eD02RyoVCr0njEN2479yzA8n0q7YoGBOLBgCQIsINwmIiIiIiIi/TGwM5K3P3wP67dtZrBgAEqlEmVLlcHqH5bJDrGWTq1SISk2QlbeiQAvNTFOr/s7ubjLabOi+k4EeUpHy3/MpjDjx8X4YuVyO24voV+lXZMatbBuzhdwcnQ093CIiIiIiIhITwzsjCQmLhadX+6F6OhoNqAwwNp1q77/FVUrVoY1SktJehzeieYV0WFQq9J0v7ODA9y8/DOmz7p4+Nhl9d0fu7bj1Y8/MPcwrIp4nYzs2h1fjB5v7qEQERERERGRnhjYGdGeg/vx+ltvGPMQdhE6jHp1OEa/OgK2QKNRIzkuOqP6LjlONK/QndLJGe5POs+KBhaOzi6wdSeuXELrN0YhLV0FDevr9LbgjckY3LGLMZ4aIiIiIiIiMhIGdkb29oczsH7bJk6NLeBU2HKly2DV99YxFbYgVGmpSBDNK6IeyQBPlZqi1/1FxV1G8wovfzgoFLAlSSkpaDhyMG4/esgmEwXk7OiIf79bioolShr2ySEiIiIiIiKjYWBnZIlJSej32mBcv3VTLppPuk+DFV1h1/ywHCWKFbeL0yaaV6Qkxj5uXhEViqTYSFmRpyuF0vFJ84pguQaes6sHrN3UxQsx/88/oNZw5bqCclQqUbdiZez4cr4MwYmIiIiIiMjyMbAzgfuPHqLnq/0RlxDPSjs9Arsf5i5E43oNYK/UqnTZcVa7/l1acoJe93dy85DTZkXnWXefABnoWZPD587i+YmjOQnWQD4eORpje/Qx1O6IiIiIiIjIiBjYmcix0ycxeNxIVtnpaPrEt9Cve2/jPilWJjU54XHjChHgxYRBo0fFpoODAm4+AU8CvGA4u3tZdPMKToU1PE6NJSIiIiIiss3AzrYWxzKx+rXqYObkaeYehlV46cVecqOsxBRXv6JlUbxaY1Rs3Aklaz4H/xIV5Tp2+RFTa0WH2rCb53DzxC5c/28rHl45gdiwe3IdPUuzcO0a3Hz4gOvWGZCYVjx18QJD7pKIiIiIiIgsgINGLLJlwATQHv3yx2/4+JsvzT0MiyQqvrq07YA577wvp8SS7tJTk580r3hcgadK1y+Ec/Xyy6i+E5+bs/ouKi4OVQb2QXxSotnGYMu2fzkfz1avae5hEBERERERkYHyNetaAMtCDerTH2np6fji26/NPRSL06F1W8yeOoNhXQE4OrvCJ7ik3GTzivho2XU2ISpMNq9APivBJcdFyS3iziUoHJ3g4RskAzzRvMLJxQ2m9MXK5UhMSTbpMe2FUqHAO0u+xY65Cyx6SjQRERERERHpjhV2BvTr6hWYM+9z+aZZh8JFm/dix6744K132cXSCFTpaXI67OMALxTpKUl63V+sdycq78Tm5h0AhcJ4nUbvh4eh+isvITU93WjHIGDNrI/RofGzPBVEREREREQWihV2ZjKw10vw9/XFtNnvQ6VW2WX3WG1Y+dorQzFmyEhW1hmJ0tEJXoHF5CbOd2pS/OPGFdGhsgutJp/XXmpinNyi7l2Dg0IJd59AePgFye6zTq4eBq3UmrtqBdetMzIx3XzWzz8wsCMiIiIiIrIRrLAzgrMXz+P1t95AdEyMXXWQVSqUUCoVmPPuLHRs3dbcw7FbapUKSbERsvJOBHgimNOHk4u7nDYrqu9EkCfCwYJKSE5C2b7d5Ucyvr1fL0L9ylV5qomIiIiIiCwQK+zMrEaVavjzh98weupEnLt0wS6mx4qwzt/PD99++hWqVapi7uHYNYVSmTHdVUhLSXoc3onmFdFhUKvS8rx/WkoiYh7elBscHODm5Z+xP9G9Vp/qu1W7djCsMxFHpRJL1v/NwI6IiIiIiMgGsMLOiFJSUvDND4vw04plMuSwxSmy2imwbZq1xMzJ0xDg52/uIVEeNBo1kuOiM6rvRFMKfSidXGTzClmB5xsMR2eXPI6lQaPXXsXFWzehtoPQ2hI4Ozri2u9/wZ/dvImIiIiIiKy6wo6BnQmcOncGUz6Yjrv379lUtZ2oqnN3d8OMSVPRsU07dqi0Qqq0VCSI5hVRj2SAp0pN0ev+ouIuo3mFlz8cFIqM6/67eB4tx79uhFFTXgH6nBGjMLZHH54kIiIiIiIiC8PAzgIlpyTjm++/w9KVy+QC8da8tp0Yv6gWFFV1M96cikD/AHMPiQxAhMkpibGPm1dEhSIpNlJW5OlKoXR80rwiWFbgzfz1Fyz4axXSrfi1bm3EZGWxht2erxeZeyhERERERESUDQM7C3bt5g3MXTwfO/ftgVKptKrgTiGm9Wo0co26yaPfQON6Dcw9JDIitSpddpzVrn+Xlpyg1/1fmP8j7kZFG218lHtod33lWgT7+vEUERERERERWRA2nbBg5cuUxfyPvsCpc2fx+cJ5OHb6hMUHd9qKuuLFiuPN18fh+eatOP3VDoiKOU//InITUpMTHjeuEAFeTBg0ebxmb4ZHMqwzEzHpfsu/hzGwXUdzDYGIiIiIiIgKybGwO6CCqV29Bn6Zvxj/nTyG5Wv+wI59u+XlltSYQhsk1qlRCy/36IO2LVrD0ZEvGXvl7OoB56Jl4Ve0LDRqNZLiIjOq71ISYrLcdu+V6xkNSci0lAoF1h/az8COiIiIiIjIijF9MSMRaDSq20BuoeFhWLXuL/z+1ypERkWZrepOe1xXV1f06NQVfV/shYply5t8HGTZRHMJsV6d2ILKVEN6avKT5hWPK/D2X7kuFsUz9zDtkkqtxvaj/8rvY/H9TERERERERNaHXWItTHp6Ok6cOYWdB/Zi2+4duP/ooZySaqzqOxEaaptg+Hh7y0YSrZ5rjmcbNIa7m5vBj0e2T7xOi3TviITkZHMPxa79991SVCtT1tzDICIiIiIioie4hp0VE1NOG9atL7cpo9/A9Vs3sffwAZw5fxYnz53Bw9BHGUGbqJ7RqDVQqfOvxBOhnHYtOm3w5+vjg5pVa6Bm1Wpo1rgJalatnhEOEhXUjQf3GdZZgBNXLjGwIyIiIiIislKcEmvBRCgnmlSITSsmLhbnL13E1RvX5DTasIhwPAwNxaOwR/I6EcaJajkRvCkVSri7uyMkKBhFg0MQFBCIwIBAlCtdBtUrV0VwYJBZHx/ZphNXLpt7CHbPSanEiauX8XLbDnZ/LoiIiIiIiKwRAzsr4+PljWcbNJIbkSU6cfUSHJVKpFtw52Nbl6ZS4ejFC+YeBhERERERERUQ5z8SkUFdvHUz17BuQNsOSNiyB6VCisivv5v0Ns7/vMLsz8CmT7+Smzm90qGzPDeP1m7Kcrmolh3bow/Wzv4Ul5etQtjfW3BsyS+YNWQEfDw8c93fxdu3TDBqIiIiIiIiMgZW2BGRQd0NC9P5th//9gsWrl1j9mdgwvy5Zj1+0YBAfDT8ddwPD4O3h0eW69ycXTBtwGCs2r0DSzdtQERsDOpUqIQp/Qei4zNN0GzMCCSnpj61z7jEBKSkpsLF2dmEj4SIiIiIiIgMgYEdERnUg4hwvRpUWAJzV6N9PW4SDpw5jai4WLzYrEWW65JSU1D9lZcQGRebcdm+0ydxJ/QRlk+fhRebtsCKndty3O/DyAiULlLU6OMnIiIiIiIiw+KUWCIyGNHwRIROusppSqyY5rlwwhTcWb1OTg9dM+tjlClSVE4XFZVm+nBydMSUfgNx/PtfELluG26u/BuLJr2NQB+fPKfEiim74nhv9HoJE/v0k2MM/2ervE2F4iXkGn1iSurV39bg/p8b8Pt7HyLIxxcF8VLrtmhaszbeyKXKTzSSyRzWaR299HiNuhJBwbnu+0FERIHGRERERERERObFCjsiMpiwmGioNZpCdUZeNWsO6lWsjI+W/YSTV6+gUdXqWDv7swLt64+ZH6FJjZqYu2oFjpw/i5LBIXh34KvY9Nm8XKeSZjai64s4e+M6Jiz4Cr4enpgzYhRWvT9HhmVp6el4/ctP5D4/Gj4KCyZMQZ+Z0/Qaowj5PnltDN77cbGcDquPlnXqyY/nb93I9TYPInWvdiQiIiIiIiLLwcCOiAwmNiGhUPdv16ARnqtRC+O+/gI/bPhHXrbz+FGkpaVh1tCReu2rZ/NWaNewMfrNehf/HNiXcfmZ69ewf/5iDGjXEd+v/zvPfcQkxKPv++9A8ySEDPDxwWevj8Plu7fRd+Y7GberXLIUxvToAy93d8QlJuo8xrljJ+DK3TtYsn6t3mveiQq/Y5cuYtORQ7neLjaxcM8HERERERERmQenxBKRweTWHVZXTWvVkR//3Lsry+V/7N6h9746Nn4WUXFx2Hj4IJQKZcZ2+tpVPIyIQLMnx8rLlv+OZIR1wqUna91tPnI4y+0u3r4tP5YMCtF5fN2aNkenxk0w5iv9qgf9vLzw14efyArCQR/NzDK+nKYoExERERERkfVhhR0RGYxKrS7U/f29vOVUUxG0ZRYaFaX3voL9/GW4FbNxZ47XB3pnXccuJ9nX40tNT8/x8rT0NPlR146sHq5umDv6DSz650+5zpxYt09wdnKSH8XX4jwkpiRnuZ+vpyfWzflCVth1fmsCbj58kOsxRKCnUhXu+SAiIiIiIiLzYGBHRAajVBSuaFc0VxCNIkTQljm0C/H313tfETExCI+JxovvTMnx+vgk3aeuGpqYWhviH4DxvV6SW3aikcW6g/vw0vvvZgnr1n/8pez62uWtiXJtvbyIyjvRHIOIiIiIiIisDwM7IjLcD5RCBkT7T5/ExD790bNF6yzry/Vu0VrvfW06chC9W7WRIaK2o6qleBQZiQ6Txz91+aS+/dG0Zh10f3eKDByzh3VlihRD16mTcOraFZ2Oo1By1QMiIiIiIiJrxMCOiAzGx/Px1M6C2nr0Xxw8expzho+Ct7s7Tly5LLvE9n++vbxenw60q/bsRN/WbfHnh59g4do1OPaks2vxwCA0r10X6w8dkFVs5pCSlop9p08+dfmAth2gUquyXOfq7Iy/P/octctXxJRF82Uo2rBKtYzrRRXhjQf3czyOr4eXkR4BERERERERGRMDOyIymCAfXygUCqgLuJadmMbZe8ZUzBkxGhP7vAxnJ0ccPncWQz/5EHu+XoSY+Hid9yXG0HvGNIzu3hP92rTDm31flk0x7oWHYf+Zkzh3M+uUUt2jQNMSa/E1qFxVfv75qHFPXb9s6yaM/OLjHO9bNCDA6OMjIiIiIiIiw3PQ5NVi8InY2Fj4+PggJiYG3t7eRhgGEdmKMn27ISw62qD77NPqefz09nS0njAKR86fg6EdXPA9rj+4hwEfzoAtufjrHygZrHvnWiIiIiIiIjIeffI1VtgRkUEV8Q8sVGDXu2UbFAsMxLkb1+UUWDH9841eL8lpooYO6yoUL4EmNWqhetmyWLFzK2xNiJ/+zTqIiIiIiIjI/BjYEZFBlQwOxtkb1+T01oKIS0pErxatMaXfQHi4uuFhZASWbduMWT9/n3EbpSLv5hZqjVqn47/50gB0bPwsftu+FYvXrYUhODg4QOGQd7MHsU6dsfl4eMLZycnoxyEiIiIiIiLDY2BHRAZVtXRZbP3viFwvriA2Hzkkt9yUCimCC7+szHMfs3/9CR8tW5rvsV7LZe23wpj68it4Z+Cred6m6qC+uP3oocGPneUYpcsYdf9ERERERERkPAzsiMig6lasVOCwThcPIsLRdMyIfG9jLj9uXIdNeQSOphifk1KJBlUeN6ogIiIiIiIi68PAjogMql7FykY9o2np6Thx5RIslZjCKzZzSlOpjP48EBERERERkfHkvdASEZGexJRVb3cPnjczq8vAjoiIiIiIyGoxsCMigxJNF8R0TIWDA8+smbg5O8FPnYDk+OgCN/8gIiIiIiIi8+GUWCIyuA6NnsWuE8d4Zs1AqXDAc+XLIPLOZbkpnV3g6RcCD7H5BkHhyM6xRERERERElo4VdkRkcJ2eacLKLjNRqTVoWbnC/79OTUHMo9u4f/E/XDmyCXfOHEDkvatITYzjc0RERERERGShWGFHRAZXtmgxVCpZCpfv3ObZNTExFfm5CmVyvlKjQWJMuNzCbpyDk6u7rLzz9A+Bm08gFAqlqYdLREREREREOWCFHREZRbfnmkPJAMjkYV2jylVQulx1OLnm3/gjLTkR0Q9u4O65w7h6eJP8GPXghryciIiIiIiIzIcVdkRkFN2bt8RnK5bx7JqQaDDRp017hJSvCY2mBtKSExAf+QgJUY9kVZ2osMv1vmqVvJ3YQgE4u3s9XvtOVN95+cNBwb/vEBERERERmQoDOyIyitrlK6Jepco4eeUK1Bo1z7IJuDg7o1+bdhndep3dPOFfXGzloU5PQ0JMOBKeBHjpqcl57kuscRcptntXoVA6wsMv+HHjCr9gODq78vkkIiIiIiIyIgZ2RGQ0r3frieGffcQzbAKOSiUGtO0Ab4+cp8KK7rBeAUXlJirxUhJiZXAnKvCS4yLz3LdalY648PtyE1w9fR+Hd/4h8nMRDhIREREREZHhOGjEO7d8xMbGwsfHBzExMfD29jbg4YnIliWnpqDcSz0QkxBv7qHYhcPf/oia5crrfT9VWioSokIRL6bORoVClZ6q832VTi5Zqu+Ujk56H5+IiIjIVom32wmJCQgND0dYRDjCI8ORlpYOlSpdrlbi6OgIJydHBPgFIDgwCMGBgfBw9+AfRIlslD75GivsiMhoXJ1dMLTzC5i3egVUak6LNRalQoH6lasWKKyT93dyhndwCbmJXyqT46JkeCemz6YkxOR5X1VaCmJD78gNcICbt7+svBPr34l18Fh9R0RERPZCBHMXLl/C2Yvnce7yRZw5fw4Pwx4hNVX3P4YKzs7OKBIUjJrVaqB6pSqoXrkqqlaqDE8PT6ONnYgsDyvsiMioQqOjUG1QXySlpPBMG9GGT+aiZZ16Bt9vekoS4qNCHzekiA6FRqXS+b6OLm6y8s7TPwTuPoFyLTwiIiIiWyH+0Hn+8kXsOrAX2/bswtUb1+Rl4g+WCoUCKj1+b8qJUqGUa0Fr91mhTDk836I1WjdtjmqVqvAPo0Q2XmHHwI6IjO6jZUsxZ9lSqPOfgU96UiqVaF6rDtZ//KXRz51GrUZibERG44rUJN2nOjs4KODuG5ix9p2za85r7RERERFZujMXzuHPDf9g+95diIiKlOGc2kSzScTMCjFzJcDPH883b4XunbqiZtXqDO+IrAQDOyKyKHGJiag6sA+i4uPMPRSbtH/+EtStWMnkx01NSnhceSfWvosOh0aPbsCig602vHP3DoCDQmHUsRLlRFT+PoyMQHxSEtJVKqjVKhmCiyYu/l7eCPbzgyMrQ4mISPyfkZyMTTu2YtmaFbh45bL8/6KwFXSFpR1DlQqV8HKvvujUpj3cXF35fBFZMAZ2RGRxFq5djSnffgPW2BmOmCbRrWkz/PrO+zA30Uk2MSZcdp0VAZ6YSqsrB6USHr6PG1d4+gXLqbREhpKWno5zN6/j5JXLOHHlEi7duY174WF4FBmJhOS8X6cOcICflxdC/P1RKjgENcpVkOF43YqVUTqkCKsZiIjsQGxcHH78/RcsX/OHXKNO4aCQ01QtiXZMHu7u6N+jL4b0HwgfLzaLJLJEDOyIyOKkpqWhyejhuHznFhtQGIi7iyuOf/8LSgaHwJKIdVZSE+MyGlckxUaKS3W+v4uHT0bjClcvP4YipBcxJen45UvYeOQgtvx7WIZ1IrQTROWcqKQrCIcnlQza+3u7e6BhlWro9EwTuZUKKcJniojIhiSnJMuQbtHPPyApOclkU14LS0zPdXN1w2uDhsiqO1cXVtwRWRIGdkRkkU5du4JmY0YwsDOQ+ePfxKudusLSqdLTkKBtXBEVKjvL6krp6Ax3v2AZ3nn4BcuOtkRPvcZUKuw4fhT/HNiLfw7sQ0RsTMYaP8auaNCIfxoNqpYug27PNUevlm3k50REZJ3Ez/S/Nq7D3O/mIzI6Sn5tjUSTCn9fP7wxcjR6dHqBfwAlshAM7IjIYs3+9SfMWf6z1f7yYwlElVDTmrVlownxy5g1Ec97cnz04/Au8pH8XB+uXv6y66yYPuvi4W11j58MKyw6Gr9s2Yjv/vlTTnMtTAWdIWhDwmer18Tr3Xqga5NmcHZyMtt4iIhIP/cePsC7c97HkeNH5e8Y1v77qvYxNKpbH7OnzUTxIkXNPSQiuxfLLrFEZPlTY29DpTbvQr3WSKyp5ebiYpFTYQsiPTU5S/WdWAtPV47OrhmNKzx8AqFwZDBiL87fvIEvVi7H6j075RQlS+tAndHBz9sHI1/ojtHde8HX08vcwyIiolyIUOuPf/7EJ998KZdRMHczCUMTSzo4OTpiypgJ6NutJ//gSWRGDOyIyKJduHUTzceORFJqitX/5dIcfp46A71atoat0ajVSIqLlJV3Yv07sQ6ezhwc4O4T+LhxhX8InFw9+MuoDbr96CE++OVH/L59S5b15Cx9LSEPV1e81X8QXnuhhwzciYjIckTHRGPSzGk4dPRf2IPG9Rpi7qw58PXxNfdQiOxSLCvsiMjSbTx8AH1mTGPXWD1N6TcQMwYPgz1IS06UlXei86zoQKvRoyJTBHba8M7NJwAKhdKoYyXjEmvSffr7r1j0958y5Df22nTGmpYU5OuLGa8Mw8B2HWXgSERE5nXlxjW8Nnk8QsPDbK6qLjdKhRJBgYH47rN5qFiugrmHQ2R3YhnYEZE1+Hzlcsz4cbG5h2EVxBS79o2ewcoZs2XFjr1Rq1VIigmX4Z0I8USYpysHhRLuvkEZjSucXN2NOlYyrL/378Xorz5DbEK8VQZ1Oa0l1LByVSyePA2VSpYy95CIiOzWrgN7MWnGVJucAqtLaOfk5IjPZsxGm2YtzT0cIrsSy8COiKyBeOM6eM4s/Ll3l8WtQWVJxEL65YoWw95vFsPLnWGTeN2kJcXLabNi+mxibIR4Mel8Pp3dveHpHwwPvyJw8/aDg4P9BaDWIDwmGhMXfIU1e3bZxMLf2b+nFQ4OmPnqCIzp3ovVdkREJvbTimX4fMFXckkNW/r/RR/a/1snvT4OQ/sPMvdwiOxGLAM7IrIWKamp6D1jKnadOMbQLpe/gBYLDMTOuQtQLDDI9E+QFVClpyExOuzx9NmoR1Clpuh8X4XSSVbdyc0/BI5OXF/MEmz+9zCGfzobMTZQVZcfUW33yzszUSqkiLmHQkRk80RAtXDpEizgDI8sXh88HGOGjOD6v0QmwMCOiKxKUkoKur87BQfOnpYdH+kxscZVsK+fDOv4Zl73X8RTEmIy1r5LjovS6+Xk6ukLD/8i8PQLhounL39xNcPz98Ufv2GmeCNlJ1UPIpT3dnfHypmz8VzN2uYeDhGRTfvm+0X49ufvzT0MizRy0BCMHz7K3MMgsnmxrLAjImsM7frMnIbdrLTLeBNfPDAQWz7/mmFdIaSnpSAxKhTxUaEyxFOnp+l8X6WTi6y8E40r3H2DoXR0KsxQKB+Jycl4/ctPsHrPTrs7V2JdSgcAX42dgCGdXjD3cIiIbNJ3v/yIeUsWmnsYFm3csNfw2iv20dyMyFwY2BGR1U6PHfrpbPy1bzfsmXjzXqVUafw9+zNOgzUgUa0lKu7iIx8iISpUVuLpzMEBbl7+MrwTU2ed3bxYfWdADyIiZJXtuRvX7H5q/IiuL+Lz18dxXTsiIgP6e/N6TJ09k+dUB7OnzkD3Tl15roiMhIEdEVl1qPLZ78vw/s/f29xC87p6sWkLLJ48FR6ubuYeik1LS0mSwV2CCPCiw6BR694hztHF7XF45xcCd59AKJSORh2rLbsbGop2b47FvfAwpNtZl76ciEq73q2ex5LJU+HI1xURUaGdOncGA0cP4/8xejRG+mX+EtSpUYuvPiIjYGBHRFZv/cH9GPzxLKSmpdn8ovOCNpx875WhmNJvIKu3TEytViEpNgIJkWL67EOkJSXofF8HhUKGdiK8k9V3rh5GHastuRP6CM9PHCMr7FR6BKb28PNABPdLp05naEdEVAiPwkLR49X+iImL5TrJesz08Pbywp8//oYiwSF8/REZGAM7IrIJ525ex8uz3sPV+3dtutJOqVDA080d3735Nro2aWbu4RCA1KT4J40rQpEUEw6NRvfQ2NnNUwZ3svrOO0AGevS0BxHhaP3GKNwLD2dYl0to17tlG3w/eRqnxxIRFUBKSgr6vz4El69fhYoV3Ho3PqtYtjx+X/QTXFxc+PojMiAGdkRkM5JTU/DRsp/x5R+/QeHgYFPVdtqqui7PNsXX4ychxM/f3EOiHKhV6UiMDkd81CM5fTY9NVnn8ySmyrr7BsHzSfWdo7MrzzGAuMREtBg3Elfv3WNYl8/02Nde7CnXtCMiIv18uegb/PDbLzb9R19j/5766ksD8Oao8eYeCpFNYWBHRDbn6MULGPrph7h2/55N/OIlquo83Nwwb+xEWUUjfikiyydee6mJcU/Cu0dIio0Ul+p8fxcPn4y171y9/OzyeVer1ej7/jvY8u9hmwrgjWnhhCl4pUNncw+DiMhqnDp3Fv1ff9Umfmc0J/F7ym/f/oja1WuaeyhENoOBHRHZbLXdgr/W4NPff0ViSrJVrkUiFvIVvzy+2qkrpg0YzKo6K6dKT0VCVJicPis2VVqqzvdVOjrDwy/48fRZ32AonZxhD2b9/AM++e0Xcw/DqigVSmz5fB6e5RsmIiKdpsJ2e+Ul3H1wzyp/V7S09eyKFy2Gv39eAVcXzhIgMgQGdkRk06Li4uQU2fl//iErdKyhSkesBSLWT+nRvCVmDh6O8sVLmHtIZGAiiE2Oj5aVdyK8E5/rw83b/3HjCr8QuHh422T13Z97d2Hg7JnmHoZVVuT6eHji4MLvUZILgBMR5YlTYQ2LU2OJDIuBHRHZhfvhYfhi5XL8smUjElNSMtaEs7S/TEKjQednm+Kt/oNQt2Ilcw+JTESsdZcQFYr4yEdIjA6Va+HpSqx1p+066+EbJNfCs3a3Hz1EveGDkJyaanHfp9ZSnduwSlVs/fybxz9XiIjoKXfu30Wn/j3ZZMLAxP87G5avQekSJfmqIyokBnZEZHcL2K/cuQ0L1q7G5Tu35RvbdDN2A9MeP9DHFyO6vohXO3ZBscAgs42HzE+jVsv17uTad1GP5Dp4unJwUMDNJ0AGeGL9O9GF1tqIgK7zWxOw/8xpNpkopM9HjcPr3Xoa5okhIrIxb4o1UndtZ2BnhJki7Vq0xhfvzzH0ronsTmxsLHx8fBATEwNvb+88b+ug0eHP3PrskIjIXMSPs0PnzmDNnp1Yu38vHkZGyKlkppgyqw3pPN3c0KlxE3Rr2gKdn30OTo7WXxlFhpeWnJjRuCIxJhwate4Bs5OrR0bjChHkKRRKi3+Kftz4D8bO+8Lcw7AJLk7OOLp4KcoVK27uoRARWZQLVy6h55CXzT0Mm7b6h2WoVqmKuYdBZNUY2BGR3RPh3Znr17Dx8AFsOHQAZ25cQ1r64ymJTkpHpOkxPTE7R4USao0aao0GDnBA+eLF0b7Rs+j8TBM0qVGLIR3pRa1SydBONq6IfIS0lESd7+ugUMops3LqrF8InFzcLHYqbFJKirmHYhM4NZaIKGfDJo7BkeP/sbrOiFV2jerWxw9zF/IlSFQIDOyIiLIRYd35Wzdw4vIlnLhyCaevX5Nr4IVFRyElLS3f8yUq9cQU1yIBAahaugzqVawi16OrVb4CPN3ceb7JYEFzalJ8RuOKxNgIuQairlzcvTPCOzdvPzmd1tz6z5qODYcPmHWaui1aMnka+j/f3tzDICKyCOcuXUDvYQPNPQy7sHLxz6hZtbq5h0FktRjYERHpEZDEJibgQUS47D4rQgWxiYBOTGf1cHVD0YBABHh7c6F3MjlVehoSo8NkeCeaV6jSdK9SUzg6wcM3+EmAFwxHJxeY2rFLF9B83GsmP66tEw12igUE4sxPv8HF2dncwyEiMrt358zC31s2sLrOBFV2L7TvhNlTZxj7UEQ2i4EdERGRDYbLKQkxMrgTAV5yXJRe93f18stoXOHi4SNDH2OPt+OUN3Dw3Bm+gTIC8ex9+vpYjHqxlzF2T0RkNWLiYtH8hfZIS89/xgQVnpOjE/b8vRm+3j48nURGDuy4GjoREZEVEAGbq6ev3AJLVUZ6WgoSokIfT5+NDoU6nzcqIuATW8Tti1A6uWSEd+6+QVA6Ohl8vDuPH8W+0ycNvl96TEyU/ujXpRjYrhO83Dktn4js19qN65BeiLWJST/iXP+1cR1efWkATx2RkbFLLBERkZXTaNRIio3KaFyRkhir+50dHODuHSADPDF91tnN0yDVd83HjcTJK5dN0qXZXikcHDDz1RGY1Le/uYdCRGQWopq7/Usv4t6D+/JzMo1iRYpi2x//GL1an8gWscKOiIjIjojmEu4+AXILKlMNaSlJGeFdQnQYNOo8Gj5oNLJLrdjCbp6Dk4t7RuMKd59AKJRKvcdz4splHLt0sXAPivIlOlUv+nsN3ujVV64rRERkb67evI679++Zexh25/7DB7hy/Roqla9g7qEQ2TROiSUiIrIxTi5u8C1SRm5qtQpJMREZjSvSkhPyvG9aSiKiH9yQm4NCBIFBMsDz9AuBk6tuUy+/X78WjkolO8OawP2IcGz97wg6PtPEFIcjIrIou/bvlU3B1KzmNilxznce2MPAjsjIGNgRERHZMIVCKbvEii24XE2kJsXLyrv4qEcyyBPTaXOjUasfV+pFPUIoAGd3r8dr3/mFwM3bXwZ62Yluy7/t2MqwzkRER+tF//zJwI6I7NL2vbvk/1VkWiIg3b5nF14bNJSnnsiIGNgRERHZEbFGnXNxT/gVLw+1Kl1OmdVOn01PTc7zvqmJcXKLuncVCqUj3H2D4ekvwsAQODq7ytss37YZaelc/NtUxBqBO479hxsP7qNs0WImOy4RkbmFRYTj3MULsgkPmd75yxcRFh6OoMBAnn4iI2FgR0REZKdE6OYVUFRuYrFu0axCrnsnqu9iI/O8rwj74iPuy01w8fSBp18RrNixxUSjJy1R6fjXvt2Y2IfNJ4jIfhw6+i80jOvM6uDRw+jWoYt5B0Fkw56ey0JERER2R3R6c/XwQUDJSihVqxkqNO6IopXrwzuoBJSOzvnePyU+BpcvHMfJq1fYqc/ERNj6z4F9pj4sEZFZnb14Ho6OrD8xF0elI85evGC24xPZA/6EIyIioqconZxlWCc2EQglx0c9Xvsu8hFSEmJyPGP7rt5grYMZiOfn6MXzCIuORpCvrzmGQERkcmfOn0U6l2Awm3RVOk6fP2u+ARDZAQZ2RERElG/1nZuXv9wCS1eVa91pu84mRofJ6bHC7ktXoXBwgFrDFYVMTZzxzf8ewsB2HU1+bCIiU1OpVLhw9TJPvJldunZFhqasdCQyDk6JJSIiIr2IBhM+IaVRvGojOXW2ZI0m8CxSFoev32JYZ8ZusVv+PWSuwxMRmdSN27eQmprKs25m4jm4cfumuYdBZLMY2BEREVGhGh64+wYhwsEdqekqnkkzdos9fP4czz8R2YWbd27let2LHbvg/L6jKFakqPx69rQZ2PbHPzC3pV9/Jzdz6tmlmzw3R7fszfH6Xl1fxKrvf8W/m3fj4Prt+Pmb79D82efyDU+JyDg4JZaIiIgK7cTVSzyLZvYgIhwRsTEI8PYx91CIiIwqNDxMLtcg1vDMz6Kl32OZxwqzPyMffPmxWY8fHBiEyaPewKOwUHh5eD51/ZihIzFq8HCsWLsaXy6aDxdnZ7zcsy8WfToP496ZjO17dz11H/EchEWEm+gRENkfBnZERERUaCevXIaTUok0FavszOnElct4vn5Ds46BiMjYREikVCp1ajpx5/49i3hCrt28Ydbjz3hzKo6eOoGYuBi0b9Hmqet7dHoBx06dwKwv/h8sHjx6BHvXbsGLHbrkGNiJ54CBHZHxcEosERERFdp/Fy8wrLOAdexOXGGlIxHZR4WdLtV1uU2J9fL0xAdvTcehDTvk9NBvP/0KJYoWl9NFR786Qq+xODk6YuSgoVi/bDVO7jiI/eu2YfbU9+CXrWt39imxYsquON6QfgMxtP8rcozHt++XtyldshQclUpMGDkGu//ahCObduPr2Z/B39cPBdG1XUc0rFMvzyo/EX7GJcQ/tUZdamoKUlJTcryPeA5Cw1lhR2QsrLAjIiKiQhG/sF+4lXPlwIC2HfDdm1NRdVBf3H70EN9NehvNatVBtVdeMutZ3/TpV/JjxylvmOyY4nFv/mxejte1HP86/rt4PstldSpUxIfDXkPDKtWQrlJhz8kTmLZkIW4+fJDrMc6buYKDiMhUgZ3oFFsQYhrnwo/nonqVqljw4xKcv3wRdWrUxOIvvi7QvubP+QL1a9XFD7//gpNnTqNokaIYM2QEfv76O/QeNijXsEurX/feuHTtKj6Y+wm8Pb0wZfQbcnynz5+VIdq7c2bJcG/y6PGY9dZ0jJk6Ua8xipDv7bGT5DRXMR02N7+uXoHJo8ajR+du2L5nJ5xdnDGk3yB4enpi2ZqVOd5HPAeh4bnvk4gKh4EdERERFUpcYiKSdezW9/Fvv2Dh2jVmP+MT5s8127Fn/LgYe06dyDNoq1SyFDZ9Og+nr1/FoNkz5VpC0wcNwbYvvsGzo4YiPCYmx8YTd/N4M0ZEZCvi4rNWgumjWeMmqF+7Lt7/fA5W/v34/6NDR48gLS0NE18bq9e+OrRui2bPPPfUGm+Xrl6WzRte7NQFK/P5Py8uPg5jp03KqBj09fHFtPFv4satmxgzbVLG7cqWLoNX+vSHh7sHEhITdB7j9Elv48adW3Jturz8uup3pKSkYPqEKfjw7enysuiYaIx+ayJOnDlllOeCiPLGwI6IiIgK3exAVzce3LeIs33RjF3trt67+1Q1XXbvDhqClLQ09HrvbRmIatenO/3jcozv9RKm/5Bzp8F7YWFGGTMRkSXRZe263DSoU09+3LxzW5bLN27fondg17JJU8TExWL3gb1yPTeti1cvy7XdGtWpn29gt/fwgSzTe68/qVjfc2h/lttdf/KHnaIhRXD1xjWdxte2RWu0atIMPYe+nO9tu3fqiqnjJuG3P//AviMH4eTohBc6dMY3c77A+Hcn48C/h3O8X1p6mk5jISL9MbAjIiKiQnkYGaHzbXOaEuvj4Yk5I0ah63PN4OzoiP2nT2HSwnk49/MKzP71J3y0bKleawlN6N0PL7VpizIhRRGbmIjN/x7Cu99/m6UqLfuU2FIhRXDhl5V4Z8m3UCgcMKxzNwT7+ctgbey8z+U01PdeGYr+z7eHu6urnJ46bt7nCIuJhqEpFUp0bPQsftuxJSOsE+6EPsLeUyfQtUmzXAO7sOhIg4+HiMjSqNQFb3Dk6+ODtPR0GbRlFh6l/8/PAL8A+Hh54/TuIzlen30du5zExGYdR1ra4zAy+/i0wZiouNaFu5ubrJZbvmalnEIs1u0TRBAniK9F8JmUnCyn4r474S2sXv83Plv4/6UbRHAn1tSbMWkq2vXtluNx1Cq1TuMhIv0xsCMiIiKTBXY5rf+zatYc1KtYGR8t+wknr15Bo6rVsXb2ZwXa1x8zP0KTGjUxd9UKHDl/FiWDQ/DuwFex6bN5aDZmRL5Td0d0fRFnb1zHhAVfwfdJkLjq/Tk4eumCfIP3+pefyH1+NHwUFkyYgj4zp+k9zrlj3sDP095DYnIK/r1wTk4TPnTuTMb15YoVk6Hg2evXn7rv2RvX0LpeA7g4OSMl7enHkpiSgvikRHi6ues9LiIia+GoLPjb2OiYGPnHHRG0ZQ7FAv0D9N5XVEw0oqKjMeLNnCvzEjL90cXUxNTawIBAvNpvoNyyE40sduzbjbHT3kSZUqXhJv7fuXjuqdudu3gejerWlwFgYlLSU9dnriwkIsNiYEdERESFEh0fL8MyXTv2ZdauQSM8V6MWxn39BX7Y8LiL387jR+VaQrOGjtRrXz2bt0K7ho3Rb9a7+OfAvozLz1y/hv3zF2NAu474fv3fee4jJiEefd9/J+OxBPj44LPXx+Hy3dvoO/OdjNtVLlkKY3r0gZe7e5YquLzEJiRgwV+rsPfUSUTGxaJ8seJyeuvmz75Cz+lvY/ux/+Tt/L295ceobNUVjy+Lg0KhgJ+XJx5G5lwNEh0Xz8COiGyao2PB38YePXkcw15+BR3atM0yXbVTm3Z672vPwX3o/Hx7KJUKnD7/dNhlTuGREXhl7NP/jw4b8IrsGDvyzfEycBTCwh8vp1C7ek38vXlDltvXql4TMbExOYZ1hX0uiChv/O4iIiKiQhGVZwUN7JrWqiM//plpsW7hj9079A7sOjZ+VgZaGw8flNNKtU5fu4qHERFyKm5+gd2W/45keRyXnqx1t/lI1rV7Lt6+LT+WDArB+Vw65GZ36toVuWkdPHtaBov/fveT7AarDey0NMj9fOZ1qgszVYyIyBr4+eQ/1TQ3YprnsdMnMWX0BHi6e+L8pQuoXaMmurXvLK9Xa3Sf4rlxx1Z0adsRiz6dJ7usnjl/DumqdIQEBaNRvQbYuW+PrGIzh9TUVPx38thTl4tGGGIaa+brHoQ+wtbdO9G7a3d5P7GunrOTM7p17IL6tepg3pJv8+xCS0TGwcCOiIiICiVdpYJDAe/r7+UtAz8RtGUWGhWl977EmnN+Xl6I2bgzx+sDvX3y3Uf2qrbUJwubRxVyLaG8Kvo2HTmE4V26wdXZWU7ZjXyynpG/19PjFY9PrVbLqsa8ng8iIlsWFBgop8WKcExf4o8yo9+agCljJshqM7Gmm+iC+taH07Hiu58Rl+3/o7yIn8ejp07EwF4v4YX2nTB8wGCoVCo8DA2VlXxXrl996tiWasoH7+LlHn3QtX0n9Oj8glzf7uad25gy612s37Y5x/s4KpUIDgwy+ViJ7AUDOyIiIioUMRWooMTUULGWkAiiMod2If7+eu8rIiYG4THRePGdKTleL9Z2s0QOT9JO7fu46/fvIzE5GdXLlnvqtuKya/fv5bh+nRbXEyIiW5dXSLR203q5ab3z0ftP3SY2Pg7vfjxLblpiaqtw9tIFvcYiArqlK5fLLS9eHp64ff9uxtf3Hz5AtWYNnrqdqHzL6fLsj6ugxPnI6ZyIyrqfViyTm+4cZHhKRMbBwI6IiIgKxUnpWOCqgf2nT2Jin/7o2aJ1lumqvVu01ntfm44cRO9WbaBUKGSTCGvg6+kpO8KeunolI4QTU1o3HjmIbs81k91t45+sG1QiKBjNa9XF/L9W5blPx0zTgYmIbFFQQGCBquu0OrVpj5CgIFy+fhVqtQa1q9fAkH4DZVh28uxpg461dMlSqF+rLiqWK491WzfClojnQDwXRGQcDOyIiIioUDzd3aEuYGC39ei/ci23OcNHwdvdHSeuXJZdYvs/qXTQZ7+r9uxE39Zt8eeHn2Dh2jU49qSza/HAIDSvXRfrDx3AuoP/b0Zhaj+9PR13Qh/h+OVLiIiNQfniJTCuZx85lXfkFx9nue3sX39C+6+/w+pZH+PLlb/JqbfTBw2R9/t6zco8j+Pp7mbkR0JEZF7BAYWbhpmQlICObV7GyEFD4ebmhvCIcFm9lnmttvyqlcV0WF3+WDViwGC0bNIc/2zZiN//Wg1DEOvGigZE+VX+mQKnxBIZDwM7IiIiKpSi/gEFvq94s9N7xlTMGTEaE/u8DGcnRxw+dxZDP/kQe75ehJg81mrL6c1T7xnTMLp7T/Rr0w5v9n1Zrud2LzwM+8+cxLmb17MeG6Z19vo1WUk4tPML8HRzk1OAD549g2GffoTjly9mue3lO7fRYfJ4fDhsJJZNf18+jj0nT2DakoUIj4nJ9RguTk7w8fA0waMhIjIfUa1WGHsO7pdbbooVKYrtq9bluY8FPy7Ggp8W53usd+b8f9qtoYwaPByjh4zI8zbP9+4qp90aW4Uclm8gIsNw0OjwZ4HY2Fj4+PggJiYG3t7ePPdERESUQQRhjUa+atAz0qfV87IirfWEUThy/pzBz/bBBd/j+oN7GPDhDNgSUU14eblhKjiIiCyVeAvbuGNLxCckGGX/Ym3VSuUr5nmb0PAwhEWEwxzENNT8KtsuX7siq8yNycPdA/9u3i0r/ohIN/rka6ywIyIiokIpUogKO6F3yzYoFhiIczeuyymwDatUwxu9XsK+0ycNHtZVKF4CTWrUQvWyZbFi51bYmmLs1kdEdkAERDWqVMORY/8ZpVpaBF3nLHgtVBEUmisszKxGlaoM64iMiIEdERERFYq/lzcclUo5bbMg4pIS0atFa0zpNxAerm54GBmBZds2Y9bP32fcRplPIwW1Rre1hN58aQA6Nn4Wv23fisXr1sJgawk55LOWkNr4awkpHBxQIqhw6zoREVmLGlWq4+jJ4wX+v4cKR/y/X7NqdZ5GIiNiYEdERESFDqxEA4VLt28V6P6bjxySW25KhRTBhV/ybrQgmjR8tGxpvsd6LVtzB0OY+vIreGdg3lOCqw7qi9uPHsKYxALklUuWNuoxiIgsRa1q1RnWmZEISkWVIxEZDwM7IiIiKrRGVarh2r27Rnnz9CAiHE3HjMj3Nuby48Z12JRH4Giq8YlzX7diZaMfh4jIEjzboFGhqrupcEQX3WcbNOZpJDIiBnZERERUaCIoEtNYYaS1hE5cuQRLJabwis0S1K1YydxDICIyCdHwoFHdBjh8/D/ZJZxMRyzB0LBOPXh5sis5kTHlveAKERERkY5BkS5ryJHx+Hl5sekEEdmVNs1b8v8eMxD/27dp1tIchyayKwzsiIiIqNBqlqsApYK/VpiLgwNQvWgIIm5fQlJcJN/AEpFdaNGkGX/emYH4A13L55qb49BEdoW/WRMREVGhubm4oEmNWrIBBZlHk7IlEXHnEm6f2odrRzbj/qVjiA29g/S0FD4lRGSTioUUkZ1KRdMdMt102OqVq6J4kaI85URGxp9sREREZBBdnm3KM2kmYjZy80rlMr5WpaciLuwuHlw+LsO7Wyf3IPz2RSTFRbEahYhsyss9+3INOxNSazQY0KuvKQ9JZLcY2BEREZFBdHqmCcMgMykb6I9ivj65Xp8cHy2ny94+tVcGeA9k9d1dqNJSTTpOIiJDa9+yDbw9vXhiTcTTwxMdWrXl+SYyAQZ2REREZBDlihVHxRIleTZNTKlQ4sVmreBXrDyc3fLv2Ceq72Jl9d0xXD2yCbdO7UW4XPuO1XdEZH1cXFzQp1sPrqNqov9v+rzQXZ5zIjI+BnZERERkML1atOabJhNTqVXo2aYDgsvVQNn6bVCuQVsEl68FD/8icFAo871/clwUIm5ffFx99++T6rswVt8RkfXo80IPOVWTjEutUaPviz15molMxJFnmoiIiAxlcIcu+Pi3X3hCTbj4d63yFVG3YqWMy5xc3eFXtKzc1GoVkmIikBAVioSoR0hNis9zf2KKrAjrxCa4evnBwy8Env4hcPHwYVMRIrJIJYoVR/eOXfH35g3yjxhknOq6ru07oWSxEjy9RCbCwI6IiIgMpkRwsFzLbvORw3zTZAKiouT1PKodFAolPPyC5QbUQGpywuPwLvIREmPCocnnja2ovtNW4CmdXJ7sKwQefkFQOjob4RERERXM6CEj8M/WjYCaZ9AYHBQOGDt0JE8ukQkxsCMiIiKDGtm1OzYcOsCzagLe7h7o2byVzrd3dvWA81PVd48QH/UIaUkJed5XlZaC2NA7chNcvfzh6f84wGP1HRGZW9GQIhjYqx9+/mM5u8YamEKhwIBeL8lzTESmw8COiIiIDKpV3fooW6Qobj56yK6xRqRUKDC4Yxe4FXDx78zVd8Go+bj6LvKRrMDTrfouUm7ht1h9R0SWYfjAwVj592okJiWZeyg2xcXZBSMGDDb3MIjsDptOEBERkWF/uVAoMHXAYIZ1RqZUKjGuZx+D7U9U3/kVK4cS1Z9BhcYdUaL6s/AtWg5Orh753ldbfffg0lFcPbwZt0/vQ8Sdy0iOj+brgIhMxtfbB5NHv8EzbmBvjhoHXx9fnlciE2OFHRERERncS63b4vOVy3H13l1OTTJSs4lxPfqgaECgMXYPhTLz2nc1ZbMKbeOKx9V3eS0SpUFSbKTcwm9dgNLZBR6+onFFMNx9g6F0dDLKmImINBoN2jdugD/LlcG5m7egVrNzbGH/MFS3Rm307cbOsETm4KARP9XyERsbCx8fH8TExMDb29s0IyMiIiKrtunwQfSaMdXcw7BJXu7uuPjrH/D19DL5sdUqlQztRHgnQry05LzXvsvKAW7e/hnNK1w8vNl5logMQnS5fnj1JOIjHiA0Khpj536L1LR0nt1CToVd9+sfsgsvERmGPvkaK+yIiIjIKDo0fhYNq1TD8csXocqzIov04eDggLf6DzJLWKetvvP0FxVzIfLrx9V3mde+y6/6LkJuovrO0dk1I7xz9xWdZ1l9R0T6Ez9/Hlw5DlVqivw62M8Xr3Zuh+/WbuTpLIS3xkxgWEdkRqywIyIiIqM5ceUSmo8dCXX+Bf2kY6OJUiFF8N93SwvcbMKY1Kp0JD7pPCu2tORE3e/s4AA3L394+IfIEM/FndV3RJTfzxwVwm6eQ/SDG09dJyaSfbVmI/afOMmlGQqwFm3rpi3w1QefyM+JyDwVdgzsiIiIyKhm/rRErmenwyocpEN13Y4v56NxtRoWf67E8532pPNsfNQjJMVEQKPRvdLycfXd4/CO1XdElJ1oavPg0jFZ5Zud0tEZIRVqQ+nhh36vDcb1WzehUuXd+ZqenDulEmVLlcGK75bC3c2Np4XIwBjYERERkcVISU3FM6OG4tq9u5waW8hGE2N79sVHw1+HNXpcfSfWvguVIV5aSsGq7zz9QuDs7sW174jslPhjQOTdKwi/fVF88dT1IuQvUrGuDP2F+48eouer/RGXEM9Ku3yIajpPD0+s+XE5ihcpapwnkMjOxbLCjoiIiCyJWMeuxbjXODW2EFNhS4cUwb8WOhW2QNV3SfGIf9J5tjDVdx6+QVBw7Tsiu5CanICHl4/LLtTZOSiUCCpbHb5FyjwV6B87fRKvjhsp/2jEau+ciXMmAruf5i1Cg9p1jfQMkiGJ13K6SgWVKh0qlRqOSqWskHR0ZKsCS8bAjoiIiCzOZyuWyemxpB8HOMDJUYkdcxegXqUqNnn6MqrvIp90ntWz+s7dOyCjeQWr74hsM5iIDb2D0Otn5M+L7Fw8fVC0Un24uOfejGfHvt0Y/+4UuS+Gdk+HdeLfVx9+guebtzLCM0gFlZySjEtXr+DcpQu4cfsWwiLC8eDRQ4SGhyEiKhLp6U9/P7i6uCDAPwBFgkJQJDgYQYFBqFi2PKpXropypcsw0DMzBnZERERkccQbpEEfzcTa/Xs5LUlPP771Lvq2bgt7eZ1k7jyrd/Wdi1tGeOfhE8jqOyIrp0pLxcOrJxEf8SDH6/1LVkJgycpw0KE5wqad2zB55jvQiH9cVzVLWPfpex+g0/PtDf30kZ7i4uOx/8hBHPjvME6ePYObd27J35nE8ySq58RajPq8dkXVpNi0wZ6zkxMqVaiIujVqo1njJmhUtz6cnZ35PJkQAzsiIiKySInJyWj1xuu4cPsWFwDXgZjUNaFPf3wwdCTslay+iw7LmD6bnpJUgOq7EHj4B8PZjWvfEVkTEdo/uHIcqtSUp65zcnFHkcr15Pe4Prbt2YmJM6bKEMTeQzsZ1jk44Mv356BdyzbmHo7dEhVzogJUbP+dPC5fm9pwzli0+xfVeM2eeQ5tmrZAy+eaw9sr9ypVMgwGdkRERGSx7oaG4tlRQxGTEM8mFPmsW9emXkOsnjVH/mJN2uq7OCREPg7vEmMjclx0Pu/qO9G44nHnWYWS6/yQeaSlpiAmPAxRoaGIj46Sb5xFOO3goIDSUQkXdw/4BgbDNygY7l72FzSrVSqE3TyH6Ac3crzeO7gUQsrVKHAF7b4jB/HGu28hNS3Vbv94pFQo4eTshLmzPkaLZ5uaezh2R4Ry+/89hN/W/IF9hw/Kv9CJ73K1GUJk8VpQqVWy+q5ru07o1703qlW2zSU4LAEDOyIiIrJoJ65cRvvJ45CcksLQLpewrm7Fylj/8Zfwcnc3/RNkJdTpaUjQdp7Vs/pOBCNu3o87z8q179w87S4UIeNLSojHrQvncOPcGdw4fxY3z59FdNgjJMXH67wPR2dnePsHoFjZ8ihXoxbKVKuJstVrIKBocZt8zSbHR+PBpWNyanx2SkdnhFSoDa/AYoU+zrWbN/Da5HF4GPrI7v4fEv/HhASHYNGn81ChbDlzD8euxCfEY+Xff+K3P/+QlXXGrqTTl3Y8Yr27gb1ektOk2cTCsBjYERERkcX798I5dH5rIlJEhYOdvVnK741UtTLlsOXzefDx8DT3cKyr+i4xLiO8K0j1nafsPBsCd99AVt9RgSvDrp46geO7t+PYzm14eOuGfB2KgNhB4SCvLzCxhpWohHnSdMHD2wc1n2uOeq3aolbTFvDw9rb67+HIu1cQfvtijt+7Ym3KIhXryi7RhhITF4sJ09/CkeNH7WZ6rAh5G9aph68+/BS+3j7mHo7dSE1NxYq1q7HwpyWIS4i3+NebwsFBVvuVLF4Ck14bi7YtWtvkHwjMgYEdERERWU1o13XqJCSx0i4jrKtdviLWffwFfD25joxBqu9k59lHSE9N1q/6zufJ2nd+Yu07Vt9RHq81tRrnDu3HoU3rcGzHViTGxUKhVBYunNOR9jhiUflK9RqiUftOaNL5RasL79KSE/Hg8nEkiaA9G9FMIqhMdfgWLWuUwEAsxv/199/ih99+kfsXz6et/v8iHtuQ/oMwfvgoVk2ZiKhWW79tE75avACPwsJgbbTBXbVKVTB59BtoXK+BuYdk9RjYERERkVVNj+32zpuIiY9HugVNCzE18Uaxac3aWPX+HE6DNVL1Xby286ye1XdicXvRtEJW34nOs1z7jsTUtpho7Fu7GluX/4zw+3dNFtLlRhtmOTo54bmuPdDmpQEoU7W6xX9vxobeQej1M3INv+xcPHxQtHJ9uLgb/w8Yp86dwZQPpuPu/XsWX/1UkNdGiaLF8Mn0D1CnRi1zD8duXL91E299MB3nLl2Qz4E1v64UTwLfDq3bYvqEt+Dn62vuIVktBnZERERkVe6FhaLXe1Nx9sY1syy4bAlGvtAdn4wcAydHNkIwNlV6muw8m7H2XQGr7zz9Q+Dk6sFpQnZGhHNrF32DA+v+gio9HfInloX93NKGh2Wr10L318ehjgVOZ1OlpeLh1VOIj7if4/X+JSoisFQVWWFnKskpyZj/w3f4acUyGVBY0tpiBV2PTIQsg/sOwNhhI+HqYrjpxJQ78bpZunI55i1ZKEM6a38dZSam5Xt6euKDt97F881bmXs4VomBHREREVkdMS329S8/wardO2AvFGJdKwcHzBs7Aa926mru4dilLNV3kY+QFBspLtX5/k6u7k+mzorquwBW39mw2MgI/LN4Abav+FW+bsxZTacrEXZp1GpUqF0P/SZNRSULmc4mwvIHV45DlZqSY0Vrkcr14O4dAHM5f+kiPls4D0eO/yenklrbOqvaaqhGdevLaYyigQCZxs07tzH5/XdkVZ2t0lYLimq7GW9OhY+XdU3BNzcGdkRERGSVxC+AX61egRk/Lha/EkKltvw3xAUl3gT6e/tg+bvv47matc09HHqq+u7x9Fn9q+8C4ekXLLvPirXvyPqlJidjw0+Lsf6Hb5GemmqVa5xpK+7qNG+FlyZNQ/HyFcwyDjGGsJvnEf3geo7XeweXRHC5mlA6OsESHDr6rwzuLl65lBGCWTLtGKtUqIQ3R49HkwaNzT0ku7L/yCG8MX0KUlJTbaqqLq/XW7EiRfHdZ/NQtlQZcw/HajCwIyIiIqt2+tpVDP30Q1y4eRMaPaqdrGkB5/7Pt8enr42FnxebS1hygJySEJsR3ulffechm1b8f+07pVHHS4Z3+cQxfDd1IsLu3bHq9ae0xGtQVMf0GjsJHV8ZBqUJp+Anx0fLxhKiovWpcTk6oUiFOvAKLAZLI573rbt3yGmyp8+fldNMLS2M0Y6pZtXqeLXfQLRr0VqGKWS618jPK5fLcFf7tb0Qrz0XZ2d8OetjNH/mOXMPxyowsCMiIiKrl5qWhs9XLsfHy3+WX1vblKS8quoWTXwLHRo/a+7hUCGq78QU2pym8+U1NVGEdpk7z5JlV9Wt/uYLbPrlh8dVSxYW0BhCmWo18NqcL1G8fEWjHkeEF5H3riL81oUc1/pz9w1G0Yp14OjiBkt34colrFi7Gn9v3oDU1FSzVt1pj+3s7Ixu7Tuj74s9ZSdPMi3xOnjv09n4Z8sGuz312vUxJ70+Dq++NMDi1su0NAzsiIiIyKaq7d5a9A32nj5plWsJaRdpFkZ07YZ3Bg5hVZ3NVd+Jte+iClB9JxpXBMPNm9V3luTO5Yv4avxIhN29C43G+n7e6Ftt1+/NaWj38mCjvMlOS06UVXWyM3MOIXZQmerwLVrW6t7gx8XHY/PObdixb7ecNpuWnmaSyjvtMZwcnfBsg0Zo3awFOrRqC29WapuFaFIyZuqbOHT0iF1V1eVlaP9BmPjaWKv7njYlBnZERERkc3YeP4ppS77FmetXM6aVWjrHJ2+u+rR6Hu8NHoYyRYqae0hk1Oq7UMRHPp4+q0rTp/pO+aT67snad64efJ7M5Oj2LVj41nio0tKhtuE1NLNr2q0nhsyYDSdnF4PsT4QXsWF3EXrtNNSq9Keud/HwQdHK9eHibv1LAiQmJcnAZveBfTh8/D/ce3A/S1Ohgq7FKv5AJf6bUz8JjYsXKYrG9Rui1XPN8WyDxnB3s/yKRFuWlJyM16eMx9FTJyx+bUNTG9i7H94eO5GhXS4Y2BEREZFNEr8Ur92/B7N/XYqLt2/KQCzdAqeqiTdaIlDs/MxzeHfQENQsV97cQyKTV9/FZFv7TndObh7wfNJ51k10nn1SoUnGfc7+/u4brJk/V8zvynHqpi0TwVLZ6rUwYf4S+AYGFWpfqrRUPLp2CnHhj4Or7PxLVERgqSqyws4Wieq7C1cu4tylizh/+SLu3r+H0LBQRERFyqUe8uLs5AR/P3+EBAWjRLHicopr9cpVULViFXh5chq9pUgRXe3fmoB/TxxlWJeLIf0GyimyrLR7GgM7IiIisvk310fOn8PidX9hzd5d8hdmcZk532Jrp+v6eXljeJduGNrpBZQIDjbjiMhSiAAjIVPnWVbfWZa01BR8+/YE/Ld1E+yZmCLr5euHKYt/QanKVQu0D/H6fnjlRI7dlZ1c3FGkUj24+wTAHon/o+ITEhAeGY60tHSki8pDDeDo6AgnJ0cE+AXIUI4Bh2UTv2+Mf3cKdu3fYxWV/ub0xojRGDHwVXMPw+IwsCMiIiK7ERodhWVbN+HPvbtx4soleZmp1rrTVvi5ODmhTf2G6N2yDV5s2kJWSRDlWX0XKRpXhCI5Tr/qO9GsQtt5ltV3hmkuMXfcCJw7dMCm16vTJ7RzcXXD2z8sR7katXS+n2jKEX7rPKLuX8/xeu/gkgguVxNKR/5sJOv2zfeL8O3P35t7GFbjm48+R5tmLc09DIvCwI6IiIjs0oOICGz59xDWH9qPncePISUtVV7upFQirZBTZ0XVgwgCtVNwg3x90eXZpnLaa8u69eHmYpi1n8geq+9CZWWSqMATX+u99p1/iJxC6+TqbtSx2mJY9/moIbgoFoznGlRZuo86ubhi2o+/oVzN2vmex+T4GDy4fAypiXFPXadwdEKRCnXgFVjM0E8fkclt2rkNk2ZM5ZnX4/cmF2dnrFz8MyqWq8Dz9gQDOyIiIrJ7otnD5bt3cPzyRZy4ehlHL17Albu3ER0fr9e5ESFdkK8fapevgHqVqqBuxcqoW7ESigYEcuoSGb76Lj5aVt6J8C45TnSe1bf6LgQesvMs177Lbxrs3LEjcfbQPoZ1uYR2Lm7ueOfnlShdpVqur9fIe1cRfutCjmv+ufsGoWjFunB0YXMEsn5iPcL+r72KtPR0doTVg1KhRFBgIP78cTl8fXyN9wRZEQZ2RERERLkQi36HRkXhYWSE3OKSEmXVnFiXRqlUymo8sQ6dCOSK+AcgwNtbvnklMlv1neg8Gx2qd/Wdh29QxvRZVt9lDZq+mzYJB9f/zWmw+UyP9fD2wYer1sM/W4frtOREPLh8HEmxETm89hQIKlMdvkXL8o8aZBMSEhPxwqA+CA0LK3DXX3sP7Z5r9Ay+/fQr/kwAAzsiIiIiIpsLmZLjozOmzupdfefulRHeuXsH2GyHTl1sXLoEv3/+kbmHYTWhXYkKlTBj+Z9wdnWVr8PYsLsIvXYaatE0IRsXDx8UrVwPLu7eZhkvkTF88OUnWLl2DdRc57JQ5rwzE906dIG9i42NhY+PD2JiYuDtnffPSgeN+KlrwB0SEREREZFxpaelIDEqDPFRj5AoOs+m61F9JyqnfET1XYgM8eyp+u7Uvt34YtQQTmnTgwh3G7fvjJGzP0Po9dOIC7+f4+38S1REYKkqdh0Gk+3598RRDB73mrmHYRPr2bm7uWHD8jUIDgyCPYtlYEdEREREZGfVd2LqrKi+i48uQPWdaFzxeO07Ww1cHty8jul9uiI1KYmBXQG06fkinm37dLdHsUZd0Ur14e4TYIiniciipsJ2HdgboeFhctkMKhyx7MhzDTk1NlaPwM6RLzoiIiIiIuuuXHDz8pNbYOkqsvru8dTZUJ2q70R3T7FF3bv6/+o7f1F9FwInG2kYoEpPx4I3xyItJYVhXQHt/PNvlK5UDsVKl8q4zDu4JILL1YTS0clQTxWRxfjulx8Y1hm4Gdjewwewfe8utG3R2pC7tlmcEktEREREZMvVd3FR/1/7rgDVd55y6mwI3Lz9rbb67p8lC7Fq3mfmHoZVE8+9f1Aghr87Bc5ubihSoQ68AouZe1hERvEoLBTt+nRDWnoaz7ABKRwcULxYcWxYthqOjvZZPxbLCjsiIiIiIpLVd97+cpPVd6kpjzvPRonps6FQ5/NmVFTeRYrt3lUolI5w98209p2VVN/duXIJfy6Ya+5hWD2NWo2I0DAc3rEPg6bPsZrnn6ggFvy0mNNgjUCt0eDOvbtYu2k9enV90RiHsCmssCMiIiIisuvqu0eyeUVKfIxe9xedQD38H3eedfOyzOo7MRV2xkvdZGinVqnMPRybIJ7nmb/9hXI1apl7KERGceP2TXQd0IddYY34hyR/Xz9sW/UPXF1cYW9i9aiws7z/VYmIiIiIyGTVd4Glq6JMnZYo36g9ilSsC6/A4lDosCZZSmIsIu9exZ0zB3D1yCbcu/Avoh/eQnpKksU8e/vWrsati+cZ1hn4dfPL7BlcC5Bs1jc/fAcHhYO5h2HTfyyKjI7CyrVrzD0Ui8cKOyIiIiIiykKjUSM5LlpW3onusykJelbfeXhnTJ01V/VdanIyJrZvhpjICPGATH58Wzfhm8Wo16qtuYdBZFCiI2zrnp05HdYEioYUwbY//oHCAquzjYlr2BERERERUYE5OCgy1r4LKl0V6anJGY0rEqLCoFblvfZdSkKs3CLvXnmy9l0wPJ9Mn3V0Ns0UqG2//YxYhnVGIQLYFV98jDrNW0OhVBrnIERmsHrdWp53E3nw6CEO/HcYzRo34TnPhX225SAiIiIiIp2JkM0npJTcRPVdklj7LvJx44r8qu/UqnTER9yXm+Di4SMr7x53nvWT4aChJcTG4u/v5nPaphEbUDy4eR0H1q9Fs249jXUYIpNKS0/Hb3+tYnWdiSiVSvy25g8GdnlgYEdERERERDoTAZu7d4DcgspUe1J99zi8k51nVel53l8EfGJ7XH3nBA+//3eeNVT13bbff0ZyUqJB9kW5cHCQ3Xef69rd7qa0kW3afWAvIqMizT0Mu6FSqbD30AHce3AfxYsWM/dwLBIDOyIiIiIiKmT1XWm5yeq72MedZ3WrvktDXPh9uWVU3/lr174rWPWd6Ay7/fdfZRUYGZFGg/D793D20D7Ueq4FTzVZvXVbN0GpUEKlZkdpUxHNPTbv3IahL79ismNaEwZ2RERERERkuOo7nwC5yeq7lCQZ3MVHhSIxWo/quzuXZadaD18xdTZYr+q7E3t2IiY8jM+oCYj167Yt/5mBHVm9lJQU7Dt8kGGdGTrGbtu7i4FdLhjYERERERGRUTi6uMGnSGm5iYq3pLjIx1NnRefZxNg876tOF9V39+QmuHj6wFNOnQ2Bq6y+c8i12YQIktQqVskYmzjHJ/ftRti9uwgqXsLoxyMyln9PHkNKagpPsBkCuzPnzyEyKgr+fn48/9lwsQEiIiIiIjJJZ1F3n0BZeVemXiuUa9gOIRXqwDOgqOwkm5+U+BhE3LmM26f34eqRTbh/8ShiHt1GeqY32Y9u38T5IwcZ1pmQwsEBu1f/bspDEhncrv17ZRMEMj0NNNhzaD9PfQ5YYUdERERERCbn5OIG3yKl5ZZRfRf5SE6fTdWz+s7V01dOmz24fpMMBrl+nemo1Woc3rwevcdPNuFRiQxr+75dsgkCmZ5SocCuA3vRvVNXnv5sGNgREREREZFFVN/JCryy1ZEm17573LgiMTos37XvkuOj5XZk8z8M68wg9M5tPLhxDUXLljfH4YkKJTQ8DOERETyLZqJSq3HizCme/xwwsCMiIiIiIgusvisjN1l9FxshK+9EiJeaGJfjfRLi4nHvxi2Tj5UeNxs5vnsHOjOwIyt07tIFcw/B7kVERSIsIhxBAYF2fy4y4xp2RERERERk2dV3vkEILlsdZeu1frL2XW14+heBQ6Y1p66eOWfWcdo3DY7t2GLuQRAVOLDj+nXmd/7SRXMPweKwwo6IiIiIiKy2+i4xNkJOnb1xaTnXrzNjp8erp04gKT4Obp5e5hoGUYGcuXBersVI5qNUKGVw2qJJUz4NmbDCjoiIiIiIrLb6zuNJ9d39W3e5fp2ZQ7tbF8+bcwhEBXLh8kX5+s3uxY5dcH7fURQrUlR+PXvaDGz74x+zn+WlX38nN3Pq2aWbPDdHt+x96jpxeW7b+mWrc9yfWqPGpWtXTDBy68IKOyIiIiIismoJMTGIfPjA3MOAvYenN86fRZUGjc09FCKdicq6yOgonW67aOn3WOaxwuxn94MvPzbr8YMDgzB51Bt4FBYKLw/Pp65/aeTgpy6rVa0Gpo1/Ezv27cpxnyIwvc+f4U9hYEdERERERFbtxvkz5h6C3XNwcMCNc3weyLqIsE7X6bB37t+DJbh284ZZjz/jzak4euoEYuJi0L5Fm6euP33+7FOX9e3WQ57nNev/zrNbL2XFKbFERERERGTVbp4/Kyu8yHzUKpVcx47ImojOpLrKaUqsl6cnPnhrOg5t2CGnh3776VcoUbS4nP45+tUReo3FydERIwcNldNGT+44iP3rtmH21Pfg5+ub55RYMWVXHG9Iv4EY2v8VOcbj2/fL25QuWQqOSiUmjByD3X9twpFNu/H17M/g7+uHgujariMa1qmnV5Wfu5s72rd8Hv+dPI7b9+7mGZ7mNDXZnrHCjoiIiIiIrNr9G9dkhVdOb/WadeuJEbM/x4R2TRF+/x5GfPgZqjR8BhPbN4M5Tfvpd/nxo1f7meyYpSpXRe/xb6JExcrw9gtAakoyHty4ju0rfsXB9Wuz3LZS3QZo9mIvlK5SDSUqVoKTs0vGOcxN2L07UKWnQ+nIt5lkHQpT1SV+5iz8eC6qV6mKBT8uwfnLF1GnRk0s/uLrAu1r/pwvUL9WXfzw+y84eeY0ihYpijFDRuDnr79D72GDkJKakuc++nXvjUvXruKDuZ/A29MLU0a/IccnKt7S09Px7pxZMtybPHo8Zr01HWOmTtRrjCLke3vsJHy5aL6cDqurTs+3g7u7O9Zk+xmTnUqlQnRMzFMBpT3jT1IiIiIiIrJqkY8eygovXaz97hu4LfsJ5rb0g+kmP6a7tzciHj7AoY3rEPXoIVzc3dGkcze8/vFcBBUrgb8Xz8+4bfVnmqD6M8/h1sVzSEqIR7VGz+Z/AI0GsZER8AsOMe4DITKQ6JjoAt+3WeMmqF+7Lt7/fA5W/r1GXnbo6BGkpaVh4mtj9dpXh9Zt0eyZ5zDuncnYvvf/67xdunoZq77/FS926oKVax8fIzdx8XEYO21SRpWar4+vXDfuxq2bGDNtUsbtypYug1f69IeHuwcSEhN0HuP0SW/jxp1bWLE258YRuenZuRti4mKxdc/OfG8bFRPNwC4TBnZERERERGTVIh/c1/m2oXduwxLcv37V5Me8+N8RuWV2cs9OBBUviZa9X8oS2K1d9A3++vZxpVCnwcN1C+zEG+7QRwzs7EjGFEaNBhqN+vFH8U9crsn0Edm+lh/VOd9W7jOny8Vacznf/qn9y6/V4tMnH58eh9jC714r8GNvUKee/Lh557Ysl2/cvkXvwK5lk6Yy1Np9YC+USmXG5RevXpbTdhvVqZ9vYLf38IEsU0qv33q81t2eQ/uz3O76kzXwioYUwdUbuj3+ti1ao1WTZug59GW9HleFMuVQu3pNLF/zB1JTU/O9vUqVrtf+bR0DOyIiIiIismrRekxry2lKrLuXF/pPfgf127SHo5MTLh49gl8+mokvN+/Fnwu/wl8L5+m8f6WjE7oMGYkmXV5EUIkSSIqPl6HYii8/RlxUZK5TYgOLFcfcrfvx+xdz5PS4Nn0HwCcgENfOnMSPM6fJ6aY9x0xE0xd6wMXNDef/PYSf3n9HVrQVVlx0JLz9A7JcVtC1pKLDdZ8qZ+m05yAjiMo1SNJeLm6X9fY5B1XZL88aKOUfduUeXGkvfzoYyxZc5fBY8noceR3PmiXG/v97Ul++Pj5IS0+XQVtm4Zm+z3UV4BcAHy9vnN6dNVDX0mWaaExs1nGkpT0Ov7KPLy09TX50cXbWaWzubm6YPmEKlq9ZKacQi3X7BCdHJ/lRfC2m3CYlJz913x5dusmP+U2H/f/YGNhlxsCOiIiIiIisVnpaKpLi4wp8fxGOTZz/A8pWrynDuVsXzqFC7bqYvOjnAu1rwjeLUbl+Q2z48TtcOXlcBnE9Rr0hA7r3+r6AtJS816F6/qWBuHP5In6e/R48vLzRb/I7mDj/exncqdLTsGT6FLnPfm9Ow9D3P8bcscMLNE7RpMPD2weN2nVCzSbN8ctHM2AIj25cQVyNavLzLIFPnmFU/pVQOQdHeQRKOYVRTyq68g/QbCOMIt2+FwpKrLcmGkWIoC1zKBaYLfzWhZgKGhUdjRFv5lyZl5CYCHMRU2sDAwLxar+BcstONLLYsW83xk57M8vl4ty80L4Tzl48LysFdaFU/L+6kBjYERERERGRFRMVbIVRq2kLGbD9NOsd7PzjN3nZ2UP7kZ6Whr4T3tJrX407dEbtZi0x743XcHT7lozLb1+6gFkr/0HzF3thx8rlee4jMS4WX40bkVHd5ennh4Fvz5CNNcTlWsXKlkeHQUPh6uGJ5AT9zsEr0z9Amz6Pp7alpaZg2cfvY9eqxxV/hSFCwEc3LuL+xWKF3heRKSgL0V366MnjGPbyK+jQpm2W6aqd2rTTe197Du5D5+fbQ6lU4PT5c7Ak4ZEReGXsyKcuHzbgFdkxduSb42XgmF2rpi1ko4pvflik87EyTwcmBnZERERERGTFRGfBwqjSoLH8eGTzhiyXi8YM+gZ2dVq0QUJMDE7s3gFFpjeety6eR3RYqJyKm19gd2rfrizTUe9ff7zG1KlMC9FnvjywaDHc1bF6RWvd4oXYs2alnAZbt2UbDJr2Plzc3LFx6RIUhqhVUqsL93yQnRBVnuIVIz46ZPso/jkonrrsqdsi89eKXC7PbR8K8Sn870UV+CHsO3IQx06fxJTRE+Dp7onzly6gdo2a6Na+s7xeLacu62bjjq3o0rYjFn06D7+uXoEz588hXZWOkKBgNKrXADv37ZFVbOYg1p777+Sxpy4XjTDUKnWO1wk9O78gp8lu2LZZ52O5urgUaqy2hlNiiYiIiIjIaunaHTY3nr5+spouITYmy+WxEbqvi6cl1pzz8PHB0pNXcrzey9cv332IwC/7lF8hPlsFi/ZypwK8wY14eF9uwqknIUDv8ZOx7+81WdbZKwjxBt7u5RooiU8VT4dPOQZX4naybDFr6JRDIJX18vyDrpyCq8fHy+G2eTyOHMfx1D6yPo7/j9UylI/JvxFCbkSwPvqtCZgyZoKsNhNrup04cwpvfTgdK777GXFxuk/VV6vVGD11Igb2eklOIx0+YLD8Y8TD0FBZyXclW5Oagq4xaSpFgkPQpOEzWLd1E+ITdO9EGxQQaNRxWRsGdkREREREZLUyV7IVRHx0lGw0IdZzyxza+QQG6b0vEXaJ7bPXBud4fZIeb1xN6dqZU7LJRXCJUoUO7BydXeHk6qFXJVTeoc+TQAlZAx+9g6t8K6+yB0q5VX7lX9FF1iOvgGjtpvVy03rno/efuk1sfBze/XiW3LTE1Fbh7KULeo1FBHRLVy6XW168PDxx+/7djK/vP3yAas0aPHU7UfmW0+XZH1dBifOR0zkRHoY+Qs2Wj6uXdeXh7g4XVthlwcCOiIiIiIisVmHXPBIdYbsMfQ3PdOySZbrqMx276r0v0Q322U4vQKFQyiYR1qJao2dlpWLo3duF25GDA4JKV0a5Bs8bamhERlXYiq5ObdojJCgIl69fhVqtQe3qNTCk30AZlp08exqGVLpkKdSvVRcVy5XHuq0bYWsC/Vldlx0DOyIiIiIislpunp6Fuv/p/Xtw6fh/6PfmO7KBw83zZ1Ghdj00faG7vF6j1n2K56FN69CkczdM+vZHbF32k6xcU6Wnwz+kiAzFju3ahmM7tsJchsz4CEkJ8XJcsRHhcjpw4/adZDgputpmrq7z8vPPWN+vRMXK8qNoqBEb+biKUASd2YnQz93b24SPiKhw3N3c5JaYlFSg+yckJaBjm5cxctBQuLm5ITwiXFavzVvyrc5/VBDTYXWZ4jpiwGC0bNIc/2zZiN//Wg1DEBWhinwabxR2nVBdFQ0JMclxrAkDOyIiIiIislqOTs4yJEqMjS3Q/cUb5S/HDEP/ye+g69DX5fTYyyePYdHbEzHz97+QqMc6VCLc+3LscLQf8Cqe69odXYeNgkqVjshHD2XAdefypaeObUpXTh1H8xd7o+kLPeDu5Y2UxETcvnwB3749AQfXr81y2+IVKmLc3IVZLhs8/UP58cJ/h/HRq/1yPIZfEN90k3UpUaw4Ll/LukacrvYc3C+33BQrUhTbV63Lcx8LflyMBT8tzvdY78z5/7RbQxk1eDhGD/l/9+mcPN+7q5x2a0yOSiVKlShp1GNYIweNDv9LxMbGwsfHBzExMfDmX0yIiIiIiMiCvPVCW9zPtih7YYmpraM+nYdZA3riysnjMLQPVq1H6J3b+GbiKNiSD/5YhzLVaph7GEQ6m/HpbPy1cZ3sympoTo6OqFS+Yp63CQ0PQ1hEOMw1JTg4n/U6L1+7grR0w5+b7GZNeRe9ur4IWxerR77GCjsiIiIiIrJq/kWKFiqwE1NCxbRVUQGn0ahRvlZddH51OC7+d8TgYV2R0mVRuX5DlKxY+amqNlvgGxRs7iEQ6aVa5SpYve4vo5w1EXSd07P5hCmJoNBcYWFOzwNlxcCOiIiIiIismn9wEdktVqyhVhDJiQlo3LELXhgxBi5ubogOD8W+v9dg1ddf6NyNVkyH1WWKa9dhr6NuyzbYv+5PbF/xKwxBdjzNZx2qgp4bvcahUMDbP8DoxyEypOqVq8K0k9MppymxFcqW54nJhoEdERERERFZNbHeWmHWgxPdXcWWm8BixTF3a+7rVAl/LvwKfy2cl++xlkyfAkN78fVx6DHqjTxvM6FdU4TfvwdjCilVOt9gk8jSVCpXQTaGMFVzBXqaCOucnZx4arJhYEdERERERFatbLWaenVz1VdUaCje6/tCPrd5BHPZter3PANH7WMwJhHUVahV16jHIDIGZ2dn1KtZG0dPnTB5Ixh63EW3aeMmPBU5YGBHRERERERWrXTVakbdvyo9DTfOnYGlig4LlZs5icCUzSbIWj3fvJUM7Mj0RGVj66bNeepzkPdCB0RERERERBbO3csbgcVKmHsYdk1UJolKRyJr1PK5ZqyuMxMfL2/UrFrdXIe3aAzsiIiIiIjI6lWqW5/rp5mRaDhRqopxKx2JjKVksRIoU7I0T7AZpsO2btZCfqSnMbAjIiIiIiKrV6tZS5N0QqWcu9RWrtcQru7uPD1ktTq0fh7KfLotk+Gnw7Zp1pKnNRd8NRIRERERkdWr3aylrPIi82jQpj1PPVm1np27Qa1m0wlTCvDzR/NnnjPpMa0J/0cjIiIiIiKr5+nji4p16slqLzL9+nV1W7bhaSerVrxoMTR7pgmUCk7PNAWFQoH+PfrA0ZG9UHPDwI6IiIiIiGynyouBnckVLVsewSVLmf7ARAbWv2cfqNScWm8qvbq8aLJjWSMGdkREREREZBMatu3ATo8mJqYhP9Oxq6kPS2QUTRs9iyLBIazUNTLRZKJt81YICgw09qGsGgM7IiIiIiKyCYHFSqB20xbsFmtirXq9ZOpDEhltmubIQUMY/Jug2cSwAYONfRirx8COiIiIiIhsRtv+r7BbrIkolErUb90OfsEhpjokkdH16NwNJYoWg8KBcYmxqus6tHoe1StXNcr+bQlfgUREREREZDNqPtcc/kWKmnsYdkGtUqFd/1fMPQwig3JydMSE18ZCrVHzzBqpSc244aN4bnXAwI6IiIiIiGxqSlu7lwdzDSoTrF1XpHRZVGnY2NiHIjK59i3boEqFSvLnCRmO6MDbu2t3lGGTGp3w1UdERERERDalTd+X4e7lbe5h2DSNWo1eYycyGCWbJIK6aePfhFrNKjtDcXBwgKurC0YNHm6wfdo6BnZERERERGRTXN090GP0G+Yehk2HGSUrV0XDdp3MPRQio2lQpx76de/NKjsDToV9d8IUdobVAwM7IiIiIiKyOa379Jdr2YmqDjIsUXXUb9JUBhlk8ya+NhbBgUF8rRug0USzxk3wQvvOhnli7AQDOyIiIiIisjmOTs7o88YUWdVBhu0MW7XhM6jZpBlPK9k8D3d3fPzu+5waW9ipsC4u+ODt6fwDip4Y2BERERERkU16ttMLqFS3gQyZyHBvvge98z5PJ9mNRnUb4JW+LzNsKiDxR5P3J78jKxVJPwzsiIiIiIjIZtdaGzH7cwZ2BtRj9ASUqFDJkLsksniTXhsrgzslu8bqbdjLr6DT8+2N8bTYPAZ2RERERERks0JKlcZLE9829zCsnqhSLF2lGjq/OsLcQyEyOUdHR8z94GMUCQ6R67GRbn8wEevWjR8+iqergBjYERERERGRTWvb/xVOjTXAVNjXPp4LpaOjYZ4UIivj6+2DRZ99DScnJ06PzYcINUsWK4Ev3v+IAWchMLAjIiIiIiKbr/R4/ZO5cPPwZLfHAhrw9nucCkt2r3yZspg/5wsZQrEDdc7EuRHh5uIvvoanh6fdv2YKg4EdERERERHZvMBiJTDhm8XmHobVEaFEq9790KbvAHMPhcgiNGnQGN+ItTEVCoZ22SgVSnh5euKX+YtlhR0VDgM7IiIiIiKyC5XrN8Lg9z409zCsat26inXqY9C0mQwmiDJp0aSpDO1EEwpW2v2/ss7H2xu/zv8eZUuV4evFABjYERERERGR3WjVqx+e7zdIlI6ZeygWH9b5BARh/LxFcHRyNvdwiCxOy+eaYdFn8+Ds5Gz33WNFWBfoH4Dl3/4opw2TYTCwIyIiIiIiuzLw7ffQqF0nVsbkEdZ5ePtg2k+/wds/wLRPDpEVadLwGaxc/DOCAgLldFB7JCoMa1WrgTU/LEfpEiXNPRybwsCOiIiIiIjsLpB6/eO5qNvqeYZ2OZwb0ZzjnaUrUKQ0K2WI8lOpfAWs+fE31K5R0y5/nvTu2h0/zVsEfz8/cw/F5jCwIyIiIiIiu+Po5ISxXyxAw7YdOT02c2Wdjy+m/7oaxctXNO8TRGRF/Hx9ZWjVt1tP+bXCQWHzU2DFNn3iW5g5eRqcnZzMPSSbZNuvIiIiIiIiojxCu1GfzkOrni/Z/TkSYV1AkWKYsUyEdRXs/nwQ6cvJ0RHvTXobCz+eC18fH9lF1haJKkKxTt3q75ehX/fe5h6OTbPNVxAREREREZEOlI6OeHXG7MedUEXHRxt9k50nBwdUa/QsPvhjHULY3ZGo0M0oNvy2Bl3adnjy7eVgU1V1Y4aMxKrvl6FyBVbhGpuDRqPR5Hej2NhY+Pj4ICYmBt7e3kYfFBERERERkamdO3IQ88a/hpSkRKhVKrt5Ajq+Mgx9J7wlw0siMpw9B/fjw68+xb0H92Vwp0P8YnFEpaBarUbdGrXw3qSpDOoKSZ98jYEdERERERHRE6F3bmPeG6/h9qULNj8F1tHJGa++9yGavtDD3MMhsllp6en4c8Pf+Ob7RYiKibaa0E4bMJYvUw5vjhqH5s88ZzPVgubEwI6IiIiIiKiAVOnp2PDjd1izYK782har7ao1boLhH36KwKLFzT0UIruQlJyMZatXYMmypYhPiIfCwQFqCwzvxLRXlUqFYkWKYvzwUej8fHubXY/PHBjYERERERERFdKdK5ew6O0JNlNtp62qG/D2dLTs+RKrZYjMIDklGZt3bpfh3fnLFzMCMnMToZxGrUHzZ59D/5598FzDZxjUGQEDOyIiIiIiIgNV2+38YznWLPgKibGx0GjUVhnUiTWomnbtjl5jJyGgaDFzD4mIAJy9eB4r/16Drbt3Ii4+zqThnZjcKprsiJ8NRYJD0KVtR/Tt1gPF+fPBqBjYERERERERGVBSQjw2//Ij1v/wLdJT06BWm78iRqegTqVCneat0GfCWyhZsbK5h0REORAh3alzZ7DrwF5s27MTt+/dlZeLAE8EaoZY9047rVXszwEOqF61Kp5v1gqtmjZHhTLlWHFrIgzsiIiIiIiIjPFmKzICG35ajJ1//IbkhHiL7Pyorair2aQZuo0cg8r1Gpp7SESkh/uPHuL8pQs4d+kCzlw4hzMXzssKvMxEmJdTEwjxvS+2zIIDg1CrWg1Ur1xVbjWqVIWvjy+fEzNgYEdERERERGREqcnJOLx5PbYuX4pbF85lVLOZi/b47l5eaN3nZbTq3R/BJUqabTxEZDjijwIxcbEIiwhHWHiY/BgaHo6ExARZnadSq+GoVMoqOh9vHwQHBiIoIBDBAUEICgyEh7sHnw4LwcCOiIiIiIjIRK6fOYXDm9fh362bEfHgnlwXSlbdGbnyThvSObu6onazlmjwfAe5Obu4GPW4RERUMAzsiIiIiIiITEyEdPevX8OJ3dtxfNc23Dh/FumpqfI6paOjbGBRUCIEFAGgdvptYLESqNOiFeq1fB5VGjaGkzNDOiIiS8fAjoiIiIiIyMxEQHf/xjXcOHcGN8+fwc0L5xD54IFcBy8tNSXf+4v1qdw8PODp443AoiEoVqY0GnbqgzJVq8Pdy9skj4GIiAyHgR0REREREZGFElVyomFFVGgo4qOjoFKly6mtCoUSCkclXNzc4RsUDHcPd9w4tj3Lfcs1aAsnV3ezjZ2IiEwT2DkW4jhERERERESkJ1k55+klt/yCPYXSEWrV/6fSpibFM7AjIrIDCnMPgIiIiIiIiHIO9pzcsnZ3FIEdERHZPgZ2REREREREFsrZzTPL12nJCWYbCxERmQ4DOyIiIiIiIgvl7Jo1sGOFHRGRfWBgR0REREREZKGcn5oSywo7IiJ7wMCOiIiIiIjIQjk9NSU2ERq12mzjISIi02BgR0REREREZCUVdoAGaSmJZhoNERGZCgM7IiIiIiIiC6V0dJZbZlzHjojI9jGwIyIiIiIisqJpsVzHjojI9jGwIyIiIiIisqrGE/FmGwsREZkGAzsiIiIiIiIL5py98QQDOyIim8fAjoiIiIiIyJoq7JITzDYWIiIyDQZ2REREREREFszJNWuFXXpKEtQqldnGQ0RExsfAjoiIiIiIyIoq7IQ0VtkREdk0BnZEREREREQWTKF0hKOza5bL2HiCiMi2MbAjIiIiIiKycE7ZGk8wsCMism0M7IiIiIiIiKxsWiynxBIR2TYGdkRERERERBbOOVvjCVbYERHZNgZ2REREREREVlZhl5qUYLaxEBGR8TGwIyIiIvpfe/cBHVW1tnH8mZJGSSgJvaN0EHtFVMSGFUVFKYqiiBW7WABFsd2LDVQsXMWOKIqCBaSDVOm9d1KABJKQZDLzrX0wfJQkpEzN/H+uWSGTk3N29gyD8+Td7waAEOthl5uTpVxXTsDGAwDwLQI7AAAAAAhyEdHljruPPnYAUHYR2AEAAABAkLPbHYqIOjq0o48dAJRdBHYAAAAAEILLYuljBwBlF4EdAAAAAITkxhMHAjYWAIBvEdgBAAAAQAiIPKbCLofADgDKLAI7AAAAAAjJCrt0eTyegI0HAOA7BHYAAAAAEII97Ny5Ocp1ZQdsPAAA3yGwAwAAAIAQEBEVI9lsR92Xk5kesPEAAHyHwA4AAAAAQoDNZldkNBtPAEA4ILADAAAAgBBdFstOsQBQNhHYAQAAAECIbjyRc5AlsQBQFhHYAQAAAECIiIymwg4AwgGBHQAAAACEaIVddma6PB5PwMYDAPANAjsAAAAACNEedh53rlzZBwM2HgCAbxDYAQAAAECIcEZGy2Z3HHVfTiZ97ACgrCGwAwAAAIAQYbPZFBl9zLLYgwcCNh4AgG8Q2AEAAABACC+LNX3sAABlC4EdAAAAAITwxhM5mVTYAUBZQ2AHAAAAACEk8rgKOwI7AChrCOwAAAAAIIREHFthdzBDHo8nYOMBAHifk0kFAAAAgNDhiIzRhqQUrdqVqK179inpwAFlTJim7Skp2rVnjw5mZcnlzrVCPIfdIYfDrioVY1U7PkG14hNUs2q89edWjRqr7Uknq1KFioH+kQAAxyCwAwAAAIAglpmVpamLFuqvfxZoweqVWrxurTKzs6yvOex22SS53O5Cz5GWnq5Nu3Zax9vtduXm5sr9b1Ve3WrVdGazljq7eUtdefa5aly7jl9+LgBAwWyeItROp6WlKS4uTqmpqYqNjT3R4QAAAACAUkjct1e/zZmtX2bP0MT585SVk60Ih0M5ubk+mVcT5Jm3hibEa1yrtq49/0J1Ovd8K8QzAR8AoPSKk68R2AEAAABAEDCB2bTF/+jDcT9q3MwZcnvcVpCWe4LqOV9wOhxy5eaqTkI13XvtDepx+VWKj6vk93EAQFlCYAcAAAAAIeJAZoZG/TFBw8eO0YYd2w+HZcHCbrPJ4XDopvYXq8+1N+qMZs0DPSQACEkEdgAAAAAQ5LJzcvTp+HEaPGqk9h3Yb90XzLu95gWJps/di73uVYsGDQM9JAAos4Edm04AAAAAgB+53W59N2WSBnw6QtuTEhW8Ed3R8qr+/pw/1+qv1/XSy/V8j16qV71GoIcGAGUOPewAAAAAwE9Wbt6k3m+8rH/WrpHNZgvqiroTydtx9rkevfTITbfI6aAeBAC8VWHHdj8AAAAA4GOuXJfe/PZLnXNfLy1Zv966L5TDOsNshpHjcmngpyPU/qE+VhgJAPAOAjsAAAAA8KHVWzbroofvs4Its6w01x08G0p4g4kdl27YYIWRJpTMDaINMwAgVBHYAQAAAICP/Dp7ps5/oLdVVRfa9XSFMyGkCSNNX74uA/orLT090EMCgJBGYAcAAAAAXmaWu77+1SjdMrC/DmZnl7mqusJMXDBX7R68R+u3bwv0UAAgZBHYAQAAAIAXZRw8qB6vDNSgzz62qupCvVddSXrbbdy106os/Gvh/EAPBwBCEoEdAAAAAHjJ/owMXdv/MY2dMS2s59T0sUvPzNT1zz6hsdOnBno4ABByCOwAAAAAwAtM37ZOT/fT3JUr5Ha7w35O3R6P3G6Pur88QKOnTAr7+QCA4iCwAwAAAIBSOpCZoev6P65Fa9dYS0JxiEceK7jr9epL+nH6FKYFAIqIwA4AAAAASiHH5VKXF57RgjWrCOsKYLr49XxlkCYumMdzDQCKgMAOAAAAAErhifff1fSliwnrCmE23jC32196Xmu3beX5BgAnQGAHAAAAACX0ya8/66NfxobdTrAlYZbGZmZnq/NzTyo1/UCghwMAQY3ADgAAAABKYMbSxer33lDmrpi7x27evUs9Xh5o/RkAkD8COwAAAAAopqR9+9R10HNWbzYUj9mUY9KCeXr961FMHQAUgMAOAAAAAIrJVNaZZZ1udoQtERN0DvnyMy1Zv47nHgDkg8AOAAAAAIrhx+lTrJupFENp2HTX64OtXXYBAEcjsAMAAACAYiyFffCtN2Wz2ZizUsp152rlpk1645svmEsAOAaBHQAAAAAUUf+PhistI51dYb3EI49e/fIzrd22lecgAByBwA4AAAAAimDZxvX6euLvLIX1MlOtOHDkRzwHAeAIBHYAAAAAUAQDPh0hu93BXHmZKzdXY2dM1cI1q5hbAPgXgR0AAAAAnMCsZUv029y/rb5r8D6nw6HnPv6AqQWAfxHYAQAAAMAJPP/Jh3LYefvkyyq7qYv/0dRFC3kuAgCBHQAAAAAUbvH6tfp7xTJ61/mhym7Yj9/zdAQAAjsAAAAAKNzHv/xkhUnwfZXd+DmztC0xkakGEPao6QYAAACAAqSmH9CXf/5uhUnwPbvNpk8njGOqAYQ9AjsAAAAAKMBXE39XtiuH+fGTXLdbH/0yVtk5zDmA8EZgBwAAAAAF+Pz38ZLHw/z40Z60NE1aMI85BxDWCOwAAAAAIB87U5K1ZP06Edf5l+kXaHrZAUA4I7ADAAAAgHxMmDNLNmbG70y/wHGzpsvtdjP7AMIWgR0AAAAA5GPczBmy2XnLFAhJ+/Zp0bo1Abk2AAQD/vUBAAAAgGNkHDyoyYsWUOUVIA67XeP/ZlksgPBFYAcAAAAAxzC963JcLuYlQMxy2NnLlzL/AMIWgR0AAAAAHGPh2lWy2ehgFyhmo48Fa1bJww69AMIUgR0AAAAAHOOftWusZZkInP0ZGdq8excPAYCwxL9AAAAAAHCMeStXWLuVIrD+WbuahwBAWCKwAwAAAIAjZGVna92ObfnOSbeOVyj996mqV72G9fmHjz2tFZ99E/D5m/D6W9YtkHpe0cmam91jJ+T7dafDoQc736y5H4xU8s9/aPuYXzRp6DCd3aJlgccvXrfWx6MGgODkDPQAAAAAACCY7NqTUuTeaa9+9bmGjx2jQOv33tCAXr9m1Xi90vs+7UhOUmz58sd93W6365sBg3Vuy9YaOvobzVmxTOWio3XqyU1VPjom/5N6pO3JSb4fPAAEIQI7AAAAADgmsCuqjTt3BMXcrdqyOaDXf+ehxzRz6RLt3Z+m69u1P+7r913XWZedcbY6PPqA5q1acfj+3+f+XeA5Xe5cKwAEgHDEklgAAAAAOMLOlKIHdvktiY0rX0HD+z2prd+Ps5aHjnnxVTWoUdNaLtq/2x3FmusIp1NPdu2uhR9/rj3j/tSmb3/SB489rfi4uEKXxJolu+Z6j9x0qx69uas1RrMM1RxzUu061nLTF3vdo3VfjdGOH37V1y8MVkJcpRI9D269pKMuaH2KHimkyq/v9TdpxrIlR4V1RbEtKbFEYwKAUEeFHQAAAAAcU2Fns9mKvCz2SOb7Rr84RKed3FSvfDFSi9at1VnNW2rsy2+U6FzfDXxF57X6/2WkdatV13Pd79SEN95Wuwfu0cHs7ELPcc8112vZxg3qN+wtVSpfQUPu6avRg4Zo/uqVynG5dN9/X7PO+UrvvhrW70ndPLB/scZoQr7X+jygFz4dUWA1XO2EBCuwHP/3LA28s7d6Xn6VqsTGas22rXrru6/15cTfCzx/4t69xRoPAJQVBHYAAAAAcITk1H1y2h3KyXUVe14uO+Msnd+qjR565z/65Nefrfv+WjhfOTk5evGue4t1rhsvvFiXnXm2ur74nH6eOf3w/Us3rNeM90ao22VX6uNffir0HKnpB3TLoGcPh49V4+L0xn0Pac22Lbpl4LOHj2tat54e6HyzKpYrp/0ZGUUe49AH+2nttq366JexBR5Tq2qC9fH2jpdbPekeHfa20tIP6I4rr9GIJ/orIiJC/5vwS77fm5aRrtzcXDkcjiKPCQDKApbEAgAAAMARsl0uyVayKbmgTVvr4w/TJh91/3dTJhX7XFeefa727t9vVaY57I7DtyXr12lXSora/Xutwvw+b85RlYKr/+1199uco3vHrdqyxfpYN6F6kcd33QUX6qqzz9MDbxVePWi3H5rM6IhIdX7uKf04fYomLZyv7i8P0D9rV+uZ23sW+v2u3NwijwkAygoq7AAAAADASwFRlYqx1lJTE7SVdmlntcpVVLliRaWO/yvfr8fHHt3HLj9mE4jjwsh87s9x5VgfoyIjizQ2s7Pr0Psf0Qc//2D1/DN9+4zIiAjro/nczENG1kHtSTt0LVPVtzVx91Hnmbhgnp64tZu1tDYpdV++1zKVjlEq2rgAoKwgsAMAAACAI9hKWF1n7NmfZm0UYYK2I0O76lWqFPtcKamp1vLc6599Mt+vH8gs+tJVbzNLa6tXqaqHb7rVuh3LbGQxbtZ03TroOW3YsUPpBzPzPU/eVLsL6Rdot7EwDED4IbADAAAAgCNEOJxS8febsMxYskiP3nybbmx/yVH95bq0v6TY55owZ5a6XNxBDrvd2iQimOzes0dXPPHwcfc/dsttuqB1W93w3JNW4GjkunP16+yZuv6C9tbutVt27zp8fMczztb6HduUknbo2PyYHW0BINwQ2AEAAADAEWKiouQpYWL3x/y5mrVsiYb07qvYcuX0z9o11i6xt116+QkryY41eupfuuWSjvph8GsaPnaMFvy7s2vt+ARdeMqp+mX2TKuKLRCycrI1fcmi4+7v1vEKK6A79msvfvaJFc6Nffl1vTLqf9qfka6eV1yt1o0aq/vLAwu8jt1uJ7ADEJYI7AAAAADgCNUrVylxHzuzwUOXAc9oyD3369Gbb1dkhFN/L1+mu14brKnvfKDUAweKfC63260uA/rr/htuVNcOl+nxW263xmV2Wp2xdJGWb9pw9LWD+FHcuHOHLnvsQb141z169+HHrWXDZvOMLgP767c5swvtCWhCOwAINzbPkVsGFSAtLU1xcXFKTU1VbGysf0YGAAAAAAHw29y/dePzT3n1nDdffKlGPv28LunXV3NWLJe3zRr2sTbs3K5ugweoLDEVeH+//2mghwEAXlGcfI0KOwAAAAA4Qo0SbBBxpC4XdVCt+Hgt37jBWgJ7ZrMWeuSmW61lot4O606qXUfntWqjlg0b6pu//lBZUyeheqCHAAABQWAHAAAAAEeoUaVqqeZjf2aGbmp/iZ7s2l3lo2O0a0+KvvjzN7342ceHj3HYC99Iwe1xW8trT+TxW7vpyrPP1VcT/9CIcWPlDTab7YQ7s5o+db5mNpuoWbV0jwUAhCoCOwAAAAA4QrVKlRUdGamD2dklmhfTk62wvmxmp9SVn39b6DleHjVSr3zxvxNeq89/XpW3PXN7Tz3b/c5Cj2ne45ajdnv1BRNYNqhRy6fXAIBgRWAHAAAAAEcwmxy0bnSS5q1a4ZN52ZmSrAseuOeExwTKp+PHaUIhgaO/xpfrduvUk5v4/DoAEIwI7AAAAADgGKbv3KK1a5ST6/L63OS4XPpn7eqgnXOzhNfcgsGpJzcN9BAAICDYHxsAAAAAjmEqu3wR1qHo6iRUU+WKFZkyAGGJwA4AAAAAjkFlV2A57HaryhEAwhWBHQAAAAAco2ndeqoSG8u8BIjb7daFp7Rl/gGELQI7AAAAADj2jZLdrmvPayenw8HcBIBHUqdzzmfuAYQtAjsAAAAAyEenc8+XKzeXuQmAVg0bqXZCNeYeQNgisAMAAACAfFzU9nRFOp3MTQD61117/oXMO4CwRmAHAAAAAPkoFx2tS884ywqQ4D+5brdV3QgA4Yx/eQAAAACgAHddda0VIME/7Dab2jQ+SW1PasKUAwhrBHYAAAAAUICOZ5ylWlXjmR8/cXs86nNdZ+YbQNgjsAMAAACAAjgcDt17XWer8gu+VyEmRl3ad2CqAYQ9AjsAAAAAKESPy6+SnT52Pmd6Bd5x5dVW70AACHcEdgAAAABQiGqVKluhHZtP+JbNZtP919/EcxEACOwAAAAA4MT6d7vDWh4L3zBh6L3Xdla96jWYYgAgsAMAAACAE6tZNV4Pdr6ZpbE+EhURoSdu7cZTEQD+xZJYAAAAACiCR2/uqvL0V/M6s6HHozffpoRKlXgeAsC/COwAAAAAoAgqVaio53vcxVx5OayLr1RJD3S+mXkFgCMQ2AEAAABAEfW59gad0bS5HHb62XmD2+PRB489rYrlyvEcBIAjENgBAAAAQBGZjSc+eqK/HHYbc+aFjSa6X3alLj/zHOYSAI5BYAcAAAAAxdCkbj0NvPMe5qyUS2GrxsXp1XvvZx4BIB8EdgAAAABQTA/ccJPOa9naqhJD8Xk8Hn30xLNWX0AAwPH41wUAAAAASrA09qsXBqt65SqEdiXw0t19dOnpZ/K8A4ACENgBAAAAQAkkVKqkMS+9JqfDKZuNnnZFYbfZdcvFl+qRm27lOQcAhSCwAwAAAIASatP4JH361HPWEk8UzulwqE3jxhrW70kCTgA4AQI7AAAAACiF69u110t33cscniCsq1k1Xt+/+KpioqKYKwA4AQI7AAAAACilR2++Tf273cE85sNhdyihUmX98eY7VmgHADgxAjsAAAAA8AIT2D1ze0/m8piwrkaVKvrzP++qXvUazA0AFBGBHQAAAAB4gdl44rkevTSo1z2HPld4b0ThsNtVt1o1TRo6TA1r1gr0cAAgpBDYAQAAAIAXPX7L7frsmQGKiHBaoVU4MmHl+a3aaPq7I1S3WvVADwcAQk54/usBAAAAAD5000WX6K+hwxUfV8laFhpu+lzfWeNe/Y+qxMYGeigAEJII7AAAAADAB049uYlmv/+JTju5SVgsjnU4HNZusMP7Pak373tITocz0EMCgJBFYAcAAAAAPlK9chVNHPqeBtxxt1VpZ0KtssgEki3rN9Ss4R+r5xWdAj0cAAh5BHYAAAAA4EOm0uyJrt01+/2P1aJ+wzJVbWcCSBNEmkBy+nsfqmWDRoEeEgCUCQR2AAAAAOAHJsya/u6HGnBnb8VERYX0hhT2f8d+2klm2e/HViDJElgA8B6bx+PxnOigtLQ0xcXFKTU1VbE0DQUAAACAUknct1evfz1KI34ea32e684NiRm12WwybyGb1Kmrl3vfpyvPPs+6DwBwYsXJ1wjsAAAAACBANu3aqRf/97G+mzJJdptNuW53UD4WphrQjK1W1XirQrDrJR3LbD8+APAVAjsAAAAACCFbE3fr0/Hj9NEvP2nv/rTDAVmg5Y3joran677rOuuKs89h6SsAlBCBHQAAAACEoKzsbP00c5oV3M1evtRafurv8C7velViY9W1w+XqffV1OrlOXb9dHwDKKgI7AAAAAAhxKWmp+n3u3/p19gz9Pm+OMrOyrGWzpmecNwM8p8MhV+6hHnpN69bXdRdcqKvOOU+nN2l2eHMJAEDpEdgBAAAAQBmrvFuwZpX+WbtGC9eu0tyVK7Rxxw555DkqeLPJZt13aGtBz+ENIcz9LneuVbGXp1xkhNrUb6Bz256hU09uojObtVC96jUC8eMBQFhIK8amE06/jQoAAAAAUCJRkZE6r1Ub65bnQGaGNu/epZ0pKdq1599bSrIysrKsijmz82yEw2kFefFxlVSjSlWV92Qp6uA+VatYQTViK6p8pQTVbX0+jwoABBkCOwAAAAAIQRViyqllg0bWraj2J+/QjlXzDn+enXnAR6MDAJQGDQkAAAAAIExExlQ46nNX9kG5c10BGw8AIH8EdgAAAAAQJiKiyx93X3ZmekDGAgAoGIEdAAAAAIQJu8MhZ1TMUfexLBYAgg+BHQAAAACE8bLYHPrYAUDQIbADAAAAgDAO7KiwA4DgQ2AHAAAAAGEkMuboPnbZB+lhBwDBhsAOAAAAAMK5wi7jgDweT8DGAwA4HoEdAAAAAISRiGMCO3dujnJd2QEbDwDgeAR2AAAAABBGIqLKSTbbUffRxw4AgguBHQAAAACEEZvNpsjoo/vYsVMsAAQXAjsAAAAAULjvFMvGEwAQTAjsAAAAACDM+9ixJBYAgguBHQAAAAAo3CvsDgRsLACA4xHYAQAAAECYB3Y5menyeDwBGw8A4GgEdgAAAAAQZiJjjt50wuNxy5WVGbDxAACORmAHAAAAAGHGERElu8N51H0siwWA4EFgBwAAAABhxmaz0ccOAIIYgR0AAAAAhKHjd4pND9hYAABHI7ADAAAAgDB0bB+7nIPsFAsAwYLADgAAAADC0LE7xWZnENgBQLAgsAMAAACAMHRsYJeTlSG3Ozdg4wEA/D8COwAAAAAIQxHRRy+JNXIO0scOAIIBgR0AAAAAhCGHM0KOiKij7mPjCQAIDgR2AAAAABCmjutjl0kfOwAIBgR2AAAAABCmjutjR2AHAEGBwA4AAAAAwtTxFXb0sAOAYEBgBwAAAABhKjLm6I0nWBILAMGBwA4AAAAAwlTEMRV2uTlZynXlBGw8AIBDCOwAAAAAIExFRh9dYWfQxw4AAo/ADgAAAADClM1uV8QxoR197AAg8AjsAAAAACCM0ccOAIKPM9ADAAAAAAAEdqfY/Sm7lJi8R3v27VPW6k1yR8xScnKi9u3ZoxxXjnJdubLZJIfDqcioSFWuUlVV4xMUH19NVePjVbNWHVWvUVM2cxAAoNQI7AAAAAAgzOzcsV1Ll/yjNStXaMk/c7V+/Xrl5Pz/ZhN2u0N2u01ut1sej8e6GSaQs9nsh79mbnnKl6+gpi1aqnmLVmravJXanHKqqlSND8jPBwChzubJe+UtRFpamuLi4pSamqrY2Fj/jAwAAAAA4BUmWFu1YplmTpusqZMnasvmjdb9TqdTLpfLi7Nsk8PhUG6uy6R7atashS68+FKd3+5iNWjUmAo8AGEtrRj5GoEdAAAAAJRRO7Zv1U9jvtP4X35U6r59/4ZpuX4cge1wNZ5ZMntd55vV6drO1pJaAAg3aQR2AAAAABCeTCA3Z9Z0jRn9teb9PetwYBYM8pbTXtThcnXucqtatTmVqjsAYSONwA4AAAAAwovpdjT1rz/1wXv/1Y7t26w+dG63P6vpii6v0q9p85bq+9BjOvX0swI9JADwOQI7AAAAAAgjC+b+reHvvKm1a1bJZrfLEyQVdSdit9ut6r8zzz5PfR58VCc3aRboIQGAzxDYAQAAAECY9Kh745VBWjDv78PhVyjKq7jreMXVeujRpxVXqVKghwQAAQ3s7N6/PAAAAADAl0ww98Por9Xj1uu1aOG8w/eFqryNMCb9MUG339RJ0yZPDPSQACCg2CUWAAAAAEKsqu6VQc9pyaIFKotsNpvVj++Sjleq3xPPUm0HoMygwg4AAAAAyqAZ0yar5603aPnSRSqrTFhnTJn0h3rccq1Wrlga6CEBgN+xJBYAAAAAQiDEGjVyhPo//qCys7MOLyEty8wOt6bP0/29e+jP334N9HAAwK+c/r0cAAAAAKA4Dh7M1JBBz2nypN+PqkALBya083jceumFp7R+3Rr1vu8ha4MKACjrqLADAAAAgCC1Py1VD9zTU1Mn/6lwlRdQfvX5JxrwzKPKyckJ9JAAwOcI7AAAAAAgCO3bt1cP3HuH1q1dHdI7wHrT9Kl/qf8TDyorKyvQQwEAnyKwAwAAAIAgk5aaqof73KnNmzbIHQb96opTbTd39iw999TDVNoBKNMI7AAAAAAgiGSkp+vRB+7Wls0bCevyYXrazZ09U4OefTwsNt8AEJ4I7AAAAAAgSJilry++8JS1DJYwqvBKu2lTJmnE8Lf9+OgAgP8Q2AEAAABAkBj50XDNmj6FnnVF9PWoT/XHb7/49kEBgAAgsAMAAACAIPDXn7/ps08+CPQwQs6rLz6nlSuWBnoYAOBVBHYAAAAAEGAb16/TywP7y2azBXooIbmM+Ol+92vf3j2BHgoAeA2BHQAAAAAEkMuVo5deeEpud67Vmw3FD+xSU1M19PWXmToAZQaBHQAAAAAE0Feff8omE6Vkws7Jk37XlL/+9M6DAgABRmAHAAAAAAGyYf1aa6MJlJ5ZTvzGKwO0b99ephNAyCOwAwAAAIAALeV8ZWB/5t5LzHLi9APpeufNIcwpgJBHYAcAAAAAAdoVds3qlcrNzWX+vbg0duIf47V65XLmFEBII7ADAAAAAD/LycnRh8OGsiusDzgcDr3/7n99cWoA8BsCOwAAAADws3Fjv9fuXTvZFdYHTMXiwvlztGDu3744PQD4BYEdAAAAAPhRZmaGRo4Yxpz7kN1u1/B33iQQBRCyCOwAAAAAwI/+mPCLUlP3Mec+3tBj7ZpVWvzPfOYZQEgisAMAAAAAP+5kOubbL+ld56dedj+M/toflwIAryOwAwAAAAA/WbbkH23auJ6lmn7qZTdt8kQlJyf543IA4FUEdgAAAADgJz+M/saq/IL//PrTGKYbQMghsAMAAAAAP9i/P01TJv1uVX7Bf73sxo75lopGACGHwA4AAAAA/GDu7BmEdQGQkpykdWtXB+LSAFBiBHYAAAAA4Aczpk1mOWwA2O12zZw2ORCXBoASI7ADAAAAAB9zuXI0a8ZUKuwCtCx22pRJgbg0AJQYgR0AAAAA+NiSRf8oMyODeQ6QdWtWKSlxN/MPIGQQ2AEAAACAjy1aOJflsAG2+J8FgR4CABQZgR0AAAAA+NiqFcutpZkIDIfTqdWrljP9AEIGgR0AAAAA+JDH49HK5UutjwiMXJdLK5cvY/oBhAwCOwAAAADwoeSkRKWm7mOOA2zNKqocAYQOAjsAAAAA8KE1q1cyv0Hg4MGD2r5ta6CHAQBFQmAHAAAAAD60a8d22Wy2fL92RafrNG3uMtWoWcv6/JkXBuvbsb/7bCzmWnf27qtgc+FFl+qFl17XV2PG689p8605eP7FV1Wnbr3jjo2IiNCt3e7U/77+Ub9PnauxE6bq9bfeV6vWbU94nV07t/voJwAA73J6+XwAAAAAgCOkpCRZO8S6XK4Tzstnn3yo77/5wmfz16fXbUpK3B10j89tPXppT0qyRo0coR3bt6la9Rrqfkdvffz5aPW56zZt2rD+8LFPPDtIHS/vpC8/+1gL589Rxdg43d7zbr3z4Ujdf3d3rVxRcK+65KQkP/1EAFA6BHYAAAAA4EMmJCrqhhM7tvt2yeaKZUsUjJ5+7AHt27vnqPtMGPfdT3/o5q499PrLAw5X11162VWa+Pt4ffzBu4ePXbb4H/04YYo6XnF1gYGdCU1NeAoAoYAlsQAAAADgQ0lJu5Wbm1ukY/NbEluhQkU99dyL+uXPmfptyly99t/hqlmrTomWtx77PXlLck874yw90X+gxv05QxP++lv9B76i6OgYValaVQNfeVO/TpqlH8dPVt+HHpfDcXTdhwnRet7VR6O+/Vl/Tl9gneOt4Z8WaYlqnmPDOiMlOUlJibusars8brfHCj/TD+w/6tj09HRrjrOzswq8hlmWnJKUWOQxAUAgUWEHAAAAAD6UnFjykMiETEP++56aNWupkR8P15pVK9Wy9Sl6850PvDrGJ58dpGmTJ2nQs0/o5KbN1Pu+h62KtHr1GmjalEka9+P3OuOsc6ylp8nJifruq8+t7zPHvPH2B2rT9jSN/voLqyrO3Nei9SmqVqOmtHRRicdkQsnqNWpp+tS/Dt+Xm+vS2O+/UadrO2v+vL+t68XGxql334eVfuCAxo39vsDzmUBvT0pKiccDAP5EYAcAAAAAPpSVdbDE33v2uRfolLan681XX9TPP3xn3Td/7my5cnJ07wP9vDbGWTOmafg7bx4+f8vWba0+ce8OfU2jvx5l3b9g3t8685zzrfvzArsOl12l0844W6+9PEC//jTmiPNNLdV4TOhnqgozMzM0+qtD189jxnTgwAG99OpQ6zhj184deqRvr0J3gTWVeVmFVOABQDBhSSwAAAAA+FBRl8Pmp+1pZ1gfJ0/87aj7J/4xXt40+5iAbfPGDYfunznt6Ps3bVD1f3e0Nc4+7wJlHTyo8T//4NXxmLDOVO29MrC/EhN3HfW1Hr3u0a3demrkR8P1UJ879cxjD2jr5k3673sf6eQmzQo9r8uV49VxAoCvENgBAAAAgA8VdcOJ/MTGVbJCpv1paUfdv3ePd5d2pqWl5hts7U895v6cHEVGRh3+vFKlKkpOLvqmGkUN68zmEUNefE4zpk0+6mv1GzRSr3se0MgRw/X5px9q0cJ5mjl9ip7s11cH9u/X/Y88Wei5PW7vjRMAfInADgAAAAB8KG/ZZkmkpe6T0xmhirGxR91fpWq8gsG+fXsUH59g9drzVlh35dXXW7vC/vnbL8d9vfHJTWW324/bCdb0tlu3drUaNT6p0PM7IyK8Mk4A8DUCOwAAAADwoYiIyBJ/76KF862Pl3S88qj7OxzzeaDMmTVDUdHRVsjmjY0vzHneHDJIE34Zm+8xKcmHNvBo2brNcTvVNmnWXImJuws8vwkVnU7auAMIDbxaAQAAAIAPmWq4bVs3l+h758yeoSWLFur+hx9X+fLltXrlCmuX2Cuuutb6utvtViBN+mO8rrrmej329AuqV7+BFs6fa1XANW/Zxup399efE4p0nocff0ZXX3ejfv35B21Yv1YtWv1/IJeTna21a1ZZfzZzsXL5Ut15d19FRcVo8aL5qlC+ojrffJtq1a6rl154utBKxypVqnrhpwYA3yOwAwAAAAAfqla9hhVilSRcM73hnn7sAd3/8BO6vcdd1pLOZYsX6aUBT+vDkV9bfdtKck5vbqjx5CP36faevXXp5Vfqplu7KyMjXevXrtbcv2cU+TznXXCR9bHTtZ2t25F27tiuW66//PDYH32gt7p2v1MXd7jM2nwiMyNTmzau1xMP97ECzoKYH7tqfEKJf1YA8Cebpwiv1mlpaYqLi1Nqaqpij+mdAAAAAAAo2LC339CYb7+Uy+Xy2jRdevlVeuGl19X3rm5atnRRkb6nfPkKmjD5b731xsv6YfTXCkdP9h+oq6+/KdDDABCm0oqRr1FhBwAAAAA+FB9frVRLVztcdqUSEqpr/fo11i6nZrlo1253WjukFjWsM99zSccrrD8vW7pY4YoKOwChgsAOAAAAAHwooVr1UgV2GRkZuuSyK9W9zj2KiYlRSnKyJvz6kz7+4J0i70T7wkuvyW536L23XteaVSvkL2ajB7Mc+ETLav25PBkAQgGBHQAAAAD40MlNmpXq+2fPmGrdClKjZi1999MfhZ5j5EfDrZu/Pf38SyfcQfbCs1r5ZSwOh1P1GjTyy7UAoLQI7AAAAADAh2rXrafo6BgdPJjpk/MnJyWqd89bTnhMIJiQMFj65TVqfJIiIiICPQwAKBICOwAAAADwIbMktEmzFlqyaIFPzm82s1i9crmC0a6dO6xboDmcTquPHwCEisKbCQAAAAAASq15y1ZWaITAyHW51LRZC6YfQMggsAMAAAAAH2vd5lQrNELgtGpzKtMPIGQQ2AEAAACAj51x9nnWpgcIjOo1aqp+QzacABA6COwAAAAAwMfKlSun08882+pnB/9yOBxqf3FH2Ww2ph5AyOBfCwAAAADwg3btL5Hb7WGu/Sw3N1fnX3gR8w4gpBDYAQAAAIAfnHtBe0kEdoGobmx9Cv3rAIQWAjsAAAAA8INq1Wuo7elnsizWz8thL+90nZzOCH9eFgBKjcAOAAAAAPzkxptvk9vtZr79uBy2Q/t2cufmMucAQgqBHQAAAAD4yfntLlblylWYbz8wm0yc1LC+orL3asP8P5S8eZVc2VnMPYCQQGAHAAAAAH7idDp1Q5euLIv1A4/Ho0vanWv9OTcnWylbV2vDvD+0a+0iZWWk+WMIAFBiBHYAAAAA4EfXXN/F6q0G37FJqhRbUae2an7U/R6PW6m7N2vTwsnatny20vcmWsEeAAQbAjsAAAAA8KOq8fHq0rUHVXY+ZCK4Xr3vU2x8zQKPMWGdCe02/TNFqbu3yO2mzx2A4GHzFOHXCWlpaYqLi1NqaqpiY2P9MzIAAAAAKKP2p6Xqpms7KjMjI9BDKXPsdrtq16mnz7/9yapkzEpP057t67U/aZtVYVcQR0SUKtdsqLiaDeSMiPLrmAGEh7Ri5GtU2AEAAACAn9lcB3X1ZZcw7z5gduHt8+Cjh5cdR5WPVc0mp6rRmR1VtW4TOZyR+X5fbk6Wkres0oZ5f2rXusXKztjP4wMgYJyBuzQAAAAAhJecrEwlbliqAyk71f6c0/XHpClKO5BOHzUvMSFd0+YtdcGFFx/3NWdktOLrN1eVOicrLXGb9u5Yr+zMA8cd53HnKnXXJutWvnJ1Val9kmLiqlq7zgKAv7AkFgAAAAB8zON2a++ODVYFlwmE8ixdsVrvfPw58+8lDodTI78cowaNGp/4MfF4lL53t/ZuX6+M1ORCj40qH6fKtRsrNr62bHYWqgUr85jm5uZaN/M4OR0OekUiZJfEUmEHAAAAAD5kwqDd65fku8SydYumuuDcczRrzlxrKSdK5+4+DxYprDNMxVyFKjWs28ED+6zgLi15u0l9jjs2Kz1Vu9YsVPKmFapUs6Eq1WxQ4NJa+DaQ27J9m1asXqnV69cqMSlJu5J2a1diopL3pOhA+vEVk5EREapSuYqqxSeoRrXq1sf6deqqZdPmanpSE8VER/OQIShRYQcAAAAAPuDKzlLSpuVKS9ya79dN4JPQsIVsMZXUvcs12rdvL0tjS7EUtvHJTfXBp1/J6XSWasnyvp0btW/nJrlzcwo8zmZ3KK56PVWu1UiRMRVKfD0UzlTKLVq+VFNnzdCiZUu0Ys1KZWRmWl9zOpzy6FBFXVGZkNY8V8z3mPDPfN6gbj2d0qK1zjnjLF147vmqFBvHw4KgqLAjsAMAAAAALzJBwL5dm5S8aWWBoU9cjfpKqN9CjohDVVqzZ07TU/368jiUgBXCOJ36dNT3Ra6uOxF3rkupu7dYy5hzDqYXeqyp0Kts+tzFVqHPnRdkHjyoGXNmafKMaZo0Y6r2H9h/OGTzlbzzmx2G27Zqo0vbXaQOF16kurXq+OyaCE9pBHYAAAAA4H8H9++1lr+aJZYF9UKr3riNFe4c69MR7+l/H3/gh1GWPc+/+Jo6XtHJJ+HrgT27rOWymWkphR4bXaGS1eeuYnwt2Wz0uSuuTVs265ux32vMrz8pPSPD5yFdQfI2FzGP/Tmnn6nbOt+ii867oFSVm0AeAjsAAAAA8KNcV7aSN6+0llLmx+5wWjuUmt5nBYU5pofdc08+olkzptDPrhhu73mX7r2/n3wtc/9ea2fZ/Uk7TJxT4HHOqBhVrtnIqqJ0OCN8Pq5QZkKxKbOma9Tor/X3gnly2B3KPWJTlkDLG09C1Xh17dxFt15/E0tmUSoEdgAAAADgp8DB9KhL2rRCuTlZ+R5TMaGOqjVsKWfkiZvbZ2Rk6N47btW2rZsDUl0USszyxTPPOU+v/meYVY3lLzkHM7R350al7jJ97lwFHmdzOFSpen1VMn3uosv7bXyhwgR0bwx/SyvXrJbDbldukG+6Yp5v0VFR6t3tTnXv0lXlYmICPSSEIAI7AAAAAPCxrPQ0a/lrQUslzWYEZvlruUoJxTrvju3brNDO9O5yE9rlywR0derW1/uffqkKFSoqENyunP/vc5eVUeixZpls5VqN810KHW5WrF6lN99/R38vmGuFYKG2O7JZMms2pnjwrj668ZrrFcFSWRQDgR0AAAAA+IipqkrestpaHimPJ98dRKvWbaIqtU+SzV6yXmYb16/T/ff0UEZ6utxBtEQwWMK6GjVra9hHn6tK1fhAD0cej1sHUnZpz/Z1Vg/DwkRXrGw9LypUrRl2G1SY3V2HfvievhzzbcD603mLeexMdW2j+g30+vOD1aJps0APCSGCwA4AAAAIc6Zp+8q1q7Vm/VrtTkpSUnKSdicnaVfibu1L3SdXrku5uW6rwsXhMEu9olUtPkE1q1VXfNV468/16tRVy6bNVKdm7bALFwrcgCBlpxI3LJUr+2CBO4ZWa9RaEdHlSn29dWtW6aH7ehHaHcEEPdVr1NS7H36mhGrVFWwy0/Yc6nOXbPrcFSwiqpwq12qkuOr1ZA+DPnfz/lmgp18eoN1JiSFXUXeiHnfmdeGeHneqT8+7FRlR9h9LlA6BHQAAABBmtu/aqamzpmvx8qVavHyZtu7YZr2RNEGbCTnMn4tS0ZLf8eXLlbeCu9bNW+rcM8/WGaecFnZvTLMz05W4YYnS9yYWGMCYoK5C1Rpeva6ptHuozx06cGB/SFckeYPdbpbB1tXb7/9PVeMDX1lXmOyD6dq3Y4P27d4sTyGPm9mMJK5GAyu8i4gqez3RsrKyrOWvpqouFJe/FpV53WxYr4HeHPiymp3UJNDDQRAjsAMAAADKOPPGd/nqlZo8c5r+nPqX1m/aaL1pNG+KfRXsOB0OuXJzFRMdowvPPV+XXNDe+hhXMVZllVmOumfbWu3ZutZa+ngcm01V6pysqnVOtsIXXzA97Z7qd5+2btlcZgOPEzHP7bann6mXhgxVbFycQkWu6XO3a7P27twgV1ZmIUfaVDGhlqrUamwtmy0LEpOT1Pepflq1do3c+f3dKWPMxhnmlx1Dnh2kKztcFujhIEgR2AEAAABlVOr+NI0dP05fjPlW23fuCFgvqLzrmhDv8ks66rYbuqhtqzZlaumsqaYzm0rkHEzP9+vl4uKtTSUiy/l+0wPTy+6lAU9r5rTJCkc33dpNfR96XM4QbfDvcbu1P2WH9m5fr4MH9hV6bExsVVWu3dhaXh2qf59Mle/9T/ezXq/CqTI0r7fdvT16WZtSmF+gAEcisAMAAADKmBVrVumrMd9p3J8T5HK5rPvMG8NgkBfendSwkbrddKuuuewqxURHK1TlZGUqccMyHUjJvw+ZIzJK1Rq2tnb+9GegYqrrRn40XJ998oG1mYUJgcr6ElgzvY8/M0Cdru2sssD8nbX63G1fpwN7dhV6bER0+f/vc+ej6k1f+Pn38Xru1Ret52u4VoQaF53XTm8MGGy1FADyENgBAAAAZcSGzZv01ohhmjhtctDvrJhXXVKlchU9dHcfdb7q2pCqiDIB2N4dG5S8ZZU8BezMagKUqvWayRHAjQJmTZ+iVwe/oLTUfWU2EDHPpTp16+u5F4eoeYvWKouyMw9Yz7fU3VsKfL4ZZlOKSqbPXc2GcgZ5n7tR33+jIW+/GehhBAVTXdeiSTN9/N9hiq3o+ypchAYCOwAAACDEmd1ch40coR9+/dmnfel8GdzVqVVbj/V5UJdd1CHol/ZlpKZo9/rFys7Yn+/XTV+x6o1PUXSF4Oiftj8tVW//51X9MWFcmaq2M1V1plfgbT166Y67+yoqKkplXW5Otvbt2qR9OzcWuPuwxWZTbHxtVa59UtA8D4/06dej9ObwtwM9jKDra3dyo5M08p0PynSvTxQdgR0AAAAQokww9/nor62qOndurnJDOIjJC+7atmytV54dpAZ16ynYuHKylLRxudIStxZY3ZTQoKW1LDEYQ8eZ06fo9cEvaN++vUGzRLo0z5W69RvouUFlt6quMCZ0TUvebvW5y0pPLfRY0z/R9LkrX7l6UDwvR43+WkPe+U+ghxG0oV3Tk5rof+98oArlKwR6OAgwAjsAAAAgBG3csklPDx6gpSuXqywxS3nNm9ZH+zxo9bgLhkbsJhwyu3cmbV4htysn32PiqtdXfIPmckYEd5VXZmaGxnz7pUaN/EhZWQdDbpmsCZwqVaqsu+97SFdefX1ILaP2WZ+71GTt2b5e6Xt3F3psZEwFVa7VWLHV6gSsz91Pv/2iZ14eGJBrhwrzmndKy9Ya+fYHiowI3HJ6BB6BHQAAABBCTMDy+XdfaeiHw+T2uENq+WtxmWq7Ic+9qPp16gZsDGaXzt3rFhe4W2dU+Vhr+WtMbBWFktR9+/TV559o9Dejgr7hf15VWExMOfXoda9uvPk2RYXwRiW+YpZo79mxQWmJps9dwY+nwxmpSjUbqJLpcxfpv3lcvHyput9/t1xl+DXLm8/5G6++ToOeeDYoqiIRGAR2AAAAQIhIz0jXEy8+rykzpykcmGq7qMhIDX3pNbU7+zy/XjvXlaPkzSutXmH5MRVK8fWbWaGHzRb4KsCSSkrcrZ9/HK2x33+j1NR9VnVPsIR3eRun1KhZSzfefLuuuvYGVaS3V5GWbqfu3KS9OzcqNyerwOPM87ZiQh1Vqd3YCp593Wfzxl63K3V/WtA8v0LBc/2e1G2dbw70MBAgBHYAAABACNi2Y7v6PPmwNm3dElZvePOqSx7v+7DuuOV2n1ebmCWGaUnbrF51BYUdFRNqq1rDVn6tTvK1nJwcTZ8ySWO++0pLFy/8d55Nrzj/PtfyAkNz/fPaXaTOXbrq9DPPCYql0aHG7c7V/qTt1nLZ7Iy0Qo8tVylBVWqfZH309t+xg1kHdVufXlq7cX2Zrgj2BbvNro+HDtM5p58Z6KEgAAjsAAAAgCA395/5erD/48rIzAzrN7zXXn6VtUTMV7uBZmWkafe6JcpMSymwB1i1xm1UvlKCyrKdO7Zr1vQpmjZ1khYvnG8FaA6nU7kul0+u53A4lZvrUmRkpM4853y1a3+Jzj3/QlWuUtUn1ws3JoTO2JekvTtMn7vEQo+NLFfx//vc2R1euf6g/wzR6J9/DKtfNHiL3WazNp/49asxqlo5tJbdo/QI7AAAAIAgNnHaFPV74SnrTXe4v+E11SZnnnqahr06VOViYrx2XneuSylbV1uVSMpn91Sb3aGqdZtYO216K8QIFQcO7Nfc2TO1dMk/Wrl8qdatWaXs7OzDS1ZNNZYJkU+066ypkMurnst7HseUK6emzVqoecs2anvq6TrtjLPpTedjWelpVnCXlrit0OpJR0SUtdzb9LorzUYqs+fP1V39+pb4+3Fo59gO7S7WW4NfYzrCTFpamuLi4pSamqrY2MKXrds8Rdj7uzgnBAAAAFCwCX/9qScGPWuFIUX4X/Gw2kFxxJvvqny5cqU6l5nTA3t2KXHDUrmyMvM9pnyVGqreqLUiokt3rbLChHNbNm3U2jUrlbh7l1KSk5SSnKzdu3Zqz55ka2mtOcb2b6AXGRmlqgnVVK16dcXHV1PV+HjVqFlbTZo1V63adWmoHyCu7IPat3OT1aMx13UogM2PzW5XbEJdK6yOKlex2D03r+52k5JSUsL+lw3e8N8XX9UVF1/qlXMhNBDYAQAAAEFo4rTJeuS5p+Qx/xHWHRfandr6FCu0iynhbqHZB9OVuH6p0vfuzvfrzqgYK6irULVmic4PhAJ3bq7SkrZqr+lzl3mg0GPLV65uBXfl4uKLFLQOenOIRo9jKaw3mPmuyNLYsJNGhR0AAAAQXGbNn6N7H3/IqkohrCs4tDv3jLP0/mtvyel0FqsR/55t67Rn2xp58ltibLNZzffNElizEywQDszrjOlvZ5bLmn53hTE7ylp97hLqWBV4+Vm8fKm69rnTR6MN36WxV192pYY8OyjQQ4GfENgBAAAAQcTsAtvl7m7WBhOEdSeuOunRpaueevDRIs2tCSR2r1+inIPp+X7dVA6ZTSWKu/QPKEsOHkg91OcuaVu+PR3zOCKjVLlmI1Wq0UCOiMjD95vXre4P9LZCu3DeJMcXTF3j2M++0cmNTgr0UBBkgR37aAMAAAA+tP/AAfV54mEdzMoirCsCEwx89t1X+nH8uEKPy8nK1I5V87Rt+ex8wzrTYL9m09NVp9V5hHUIe9EV4lSzyWlqfOZlqmIqTZ0R+c5JbnaWkjev1Pp5f2j3+sWHl9TOmDtbC5csIqzzAbvDoaEfvhf2z1Ecj00nAAAAAB8xlSh9n+qnmfP+pkF7MTkdDn3+3kdq26rNUfebXTD37tio5C0r5Smg0qdSzUaKr99MjgJCCSDcmV2UUxMP9bkrqDo1T7lK1XTfkDe1adtWXsd86IthH+u0Nm19eQkEASrsAAAAgCDw0RcjNX3OLN7kloDb49EDzzymfWmph+/LSEvR5n+mKmnjsnzDuuiKlVW/bXtVb9yasA4ohOnlWLlmQzU8vYNqNz9bMXHxBR775/Qp2rBlM69jPu5lR5UdjsWSWAAAAMAHVq9bq2EjP2JuS8hszmHCulfeekOunCztXPOPti6ZoayMtOOONcv7qp90iuq1aafoCpWYc6AYPSMrVK2heq3Pt8Luigl1rE1ajjRuxhzZi7CDLEou1+3WgiWLtGb9OqYRhxHYAQAAAF6W43LpqcHPM69eCO1++fM3ffP5MKUlbsn3mLjq9awqIdMk34QPAErGhN21mp6uRmd0tHZVNlV4m3bu1uot26yKV/iWw+HQN2O/Z5pxGIEdAAAA4GUff/E/rd2wngbtXmAyuPe+G6v9GZlH3R9VLtaqqKtx8qlyRkR541IAJEVExSihYUs1PutyTV250VquCf/0PB07YZwOpB/a6APgbx4AAADgRZu2btHw/33EjrBeYgp7DmRm6vMJE63PbQ6HEhq2Uv1T2ysmtoq3LgPgGBkHD2rC1GnWck34R1Z2tn7+fTzTDQuBHQAAAOBFb48Yxnx6mVmON2nBIu3JsavhaR1UpXZj2Wy8lQF8afLM6crKzmKS/eyn335lzmHhXzkAAADAS5avXqnfp0xiKawP2G12ffXnVGu5HgDf+2vGVKuvGvzH4/Fo2coV2rN3L9MOAjsAAADAW94c/jZvcH3ELMubNH2KFi9f5qtLAPhXdk6Ops6ewS8fAsAjjzX3ABV2AAAAgBfMWTjfupnG4fANU+0z9MN3mV7Ax+YvWqCDBw8yzwFgNvn4a8YU5h4EdgAAAIA3fP7dV1TX+ZgJQ+f+s0BrN6739aUAhXv/OpbDBq6aePqc2crOzg7QCBAsqLADAAAASmnn7l2aMms61XV+YEKEb8d+749LAWFr4ZJFvJ4FkAnr+MUECOwAAACAUho97kfZbDbm0U9Vdj+MH6f0jHTmG/CBHJeLsCjAbP9uYoTwRmAHAAAAlLI5+zc/fi+32808+klWVpbG/T6B+QZ8YN3G9XK5XMxtADkcTgI7ENgBAAAApTF73hztS0tlEv1szK8/MeeAD6ygsivgXLkuLVnBjtjhjgo7AAAAoBT+mjlVToeDOfQjj8ejFatXKXlPCvMOeNmqdWvldDrz/dr1V16tFdPnq1aNmtbnL/cfoD+/+9lnj4G51v133qNgc+mFF+uNAS/rt69/1MKJM6w5eP35l1S/Tt3jjn24d1+N+eRLzf51kv6ZOFO/fztWA5/or1rVaxR6jfUbN9JHMMzl/7cQAAAAwAmZZbCTpk2RKzeX2fIzjzyaOnuGbux0HXMPeNHupMQiB0Uf/O9jfVH+G5/N/6333mGNJ9jcfXtPJaek6MNRn2rrju2qWa267ul+p77/5At1vfdOrdu04fCxFStU0K+TfteGTRuVnpGhxg0aqk/Pu3TJ+Rfqmh63KLWACm1TZbc3dZ/iq1T140+GYEJgBwAAAJTQijWrtGffXuYvABx2u/6aPpXADvDBrtemirUoTFjlS8G6LLTvU/2Oe+3/e8E8TRw9Tj1uuU0vvDb48P2Dh75+1HHzFi3Q9p079OGb76jDBe31w/iCKxSTUpIJ7MIYS2IBAACAEpo8c7ocLIcNiFy3WzPnzrY2oADgPYnJSUU+Nr8lsaai7KWnnreWgM7/fZref/0t1alZu0TLW4/9nrwluWefdoYGPfmsZv0yUXN/m6Ihzw5STHS0FW79d9AQ/T1+sqaO/U1P9H34uJYFERERuu+OuzVu1Ghriao5x8i3P1DbVm2KPK78flFjwrVdSbtVo1r1In//iaqzzTkRvqiwAwAAAEpoweKF9BgK8A69pt/WKS1bBXIYQJlhKuv27ttX4u+32Wwa/upQtWzWXMM+/ciqQm7bqrVG/Ocdr47zxaee08Spk/XYwGfVvElTPdK7r/XLk4b16lv3j/75R51zxlnq3e0OJaYk67Nvv7S+zxzz4Rvv6PRTTtWo0V9pzoL51n2ntGytmtVraNGyJSUekwkla1WvqUnTp+b7dXMdp8OpRvUb6OmHHtPGLZs1cdpfhZ4zqRjhKcoeAjsAAACghG9sl69exdwFkAkHVqxZSWAHeEl6RrrVO62k2p19nhWGDXpziL79aYx13+z5c5STk6NH+zzotcdp6qwZemP424fP37Zla13d8Qq9+u5/9fl3Xx26f8FcXXDWudb9eYHdVZdernNOP1PPv/aSxvzy/ztNT5k1vVTjMWHcS08/r4zMzMPXP5Kp/Jv20++HP1+8fKnueOhe6/jCzml62CF8sSQWAAAAKIFtO7dbb24ROHa7XctXr+QhALzE5Sp5WGec0fY06+Nvf/151P3jJ/5/WOUNxwZsGzZvtD6ajWiOtH7zRqvq7chA8WDWQf3wq3d3tjVLgE9v01bPvDxAuxJ3H/d1E7x1ubu7bu97lxUWxsXG6n/vfKj4qgVvKGHzwuOB0EZgBwAAAJQA1XWBZ3ayXLw8OJvSA6GotDteV4qLU47LpdT9aUfdn7x3j7wpNe3o8+fkHAq2jt1xNceVo6jIyMOfV6lUWYnJyUXeVKOoYd01l12pZ4cM0l8zphb4WmV+ufDP0sVWZd+dD9+nOrVqq/ftdxR8YptNOS52IA9nLIkFAAAASmDV2tVWP6L8lo+Zxuiv9B+oS7tcox27dlqN2c9qe7o63nytT+baNGEf9ukIDRs5QsHk0gsv1uUXX6rWzVqoWkKCUvbssd6wmnFu3rb18HG1atS0dlcsyPQ5s3Tv4w/l+7WNWzZZvewiIyJ88jMA4cRuK11Nz77UVEU4nYqrGHtUaGeWhAYDs9nDaW1OsZbTeyO0M2HdDVddY1XNjftjQpG/b3dSotWfrkHdegUf5Dm0GzbCF4EdAAAAUAJm2VNR3/B98L+P9UX5b3w2z7fee4f1BjDY3H17TyWnpOjDUZ9q647tqlmtuu7pfqe+/+QLdb33Tq3btOHwTojmZzhWh3YXWU3jJ02bUuA13G63UvakWA3jAZSOw3n0jqrFNX/RQuvv/RUdOurbsYd62BlXdbgsKB4aE/6bnnY3XHmNfhj/c6k3vjBh3cA3X9GP4wv+hUN+6tWuo+oJ1TR55rRCjvKwC3mYI7ADAAAASmBXYqJy3UVbrmTCKl9asiI4l4X2faqfVdFypL8XzLOq6XrccpteeG2wdZ9pSJ/fz9Dv3gespuy/nqD/lVniRmAHlF5MVHSpA7EFSxbpyfv7qUK5ClqxeqVOadVa113eyfq62+MO6MNkeumZsG7A48+oQb36mrtwvtULs02Lllq/eZMmTPqjSOd59pEndNPV11vLW9esX6c2Lf5/p2rzerZy7Wrrz00an6SnH3xUv0+ZpG07tsvt9lj39ejSVfvSUjXy61EFXsMcGxNduscDoY3ADgAAACiB3UnHNxYvSH5LYitWqGC9qb30wosU4YzQvMUL9fLQN/THdz8Ve3nrsUti85bk3vlwH2tXxI4XXiyn06lJ06fqxf8MUfly5dX/4cd13pnnKCs7S7/8MUFDP3zvqP5VERERVqXMVR0uV52atZR5MFOr16/T2x8N16JlS4o0rmPDurxqul1Ju1WjWvVCv7durdo6s+1p+um3X064uYc5J4DSi4yMVPly5ZSekVGi7zdVx/c/1U9PPtBPd3frab22mWXwTw1+Xt98+Jn2799fonN6i+kl1+fJh3VPtzus10YTnJmfdfX6NZo+Z3aRz3PRee2sjzdefZ11O9L2nTsOv9abNgDmFwp33tJN8VXj5XQ4tCsp0docY8SokfluUJHHhJsJVeNL/LMi9BHYAQAAACWQvCelxPNm+icNf3WoWjZrrmGffqQVa1apbavWGvGfd7z6WJglWxOnTtZjA59V8yZN9UjvvtYSq4b16lv3j/75R51zxlnWstPElGR99u2X1veZYz584x2dfsqpGjX6K81ZMN+675SWra1KtqIGdvmpU7O2tWujCQ8L07nTdVbly/e//HTCuUwmsAO8xvSbKyiwGzvhF+uW59lXBh13TNqB/Xru1RetW55Ol15ufVxWjF2dK5Qvb300lWgFXT+P+WVFfr/kMOM7dozZ2dl679MR1q2kitqPNGXvHj09+IUSX4fALrwR2AEAAADF5HK5SlyBYrQ7+zwrDBv05hB9+9OhPk+z58+xllI92udBrz0eU2fN0BvD3z58/rYtW1v9m15997/6/LuvDt2/YK4uOOtc6/68wM5Unpxz+plWI3Wz5CvPlFnTSzUeE/q99PTz1jLXvOvnxwR1113RSes3bbSqcwo9p92hlH3e3YESCGem+vXITWGKy1TlVk9I0JoN66xlnae0bKVeXbtr3qIFRQ77zRLTK//te1eaXxCEuoT4hEAPAQFEYAcAAAAUU347wxbHGW1Psz7+9tefx/VX8mZgd2zAtmHzRkkXW8uxjrR+80adf+Y5RwWKB7MO6odfS9eUPb8dFU9v01aPPP9UoUvBLjj7XCs0eGPYWyc+qe1QzygA3mE2QzBBeFF7dB4rPTNdV3a4Xff2uEsxMTFWBaypinv7o/ePCu8L88aAwdYYXntvqFWB7C+mYtf8wuBEy2r9hQq78EZgBwAAABRTad+wVYqLU47LpdT9aUfdn7zXu5ViqWlHnz8n51DQmHrEEjPrfleOoiIjD39epVJlq++SN3tHmbDumsuuVP9XBuqvGYUvh72x03VWCPfTb78WueIRgHfUq13XCsJLU9lrbgWpVaOmtfFMYYrbx9NbBj/zgrUpRWFatDvDL2Mx/06Ui4nxy7UQnAjsAAAAgGIrxbtZ05MpNVURTqfiKsYeFdqZ3lHBwGwWcVqbU6xqE2+Ediasu+Gqa6wltuP+mFDosSYsNA3d/5o5Ld9NK/JzoooYAEXXsmlzn1aRJSUnqcvd3Qs9JjE5SYFggsKvxnynQDOvva2b///OswhPBHYAAABAcf8n+gTLuU5k/qKF1g6sV3ToqG/HHuphZ1z1b8+mQJs+Z5bV085Umvww/udSb3xhwrqBb76iH8cXXlVjmN51ZofaH06w2cSRzA64ALyjRdNmPp1KU128vBibT/jTjl07rVugmV9CtGrWItDDQIDxLxsAAABQ3P+JdjpLVX1mArEFSxbpyfv7qUK5ClqxeqVOadVa113eyfq62+MO6GNieumZsG7A48+oQb36mrtwvvUGsk2Lllq/eZMmTPqjSOd59pEndNPV11sbV6xZv85qJJ/HLHlduXZ1vrvD7ty9SzPmzi7SNcxjEHnEcl4Ape+bZipdi1rhCu8zFY4tfRycIvgR2AEAAADFZBqmx8XGWktbS8KETPc/1U9PPtBPd3frqQhnhLUb6lODn9c3H36m/fv3l+ic3nyz2OfJh3VPtzusHWN7dOlq7Yq7ev0aTZ9TtCDNMEtbjRuvvs66HWn7zh3qePO1R93XtlUbNW7QUMNHjijyz2PGSmN2wLtat2ip6bNnyu3F1xUUf2kywpvNU4R/CdPS0hQXF6fU1FTFxsb6Z2QAAABAELuu5y1au2G9V8/Z6dLL9caAl3Xbfb20aNmSIn1PhfLlNfe3qRo89HV99UPgey8FwgdvvK0Lzzk/0MMAyoxRo7/Wq+/+16u/CEDR1a1VR79/O5YpK4OKk69RYQcAAACUQI1q1UsV2F3V4XJVT0jQmg3r5HZ7dErLVurVtbvmLVpQ5LDOLDG98t++d0X9nrKICjvAuy46v52GvPMfpjVAFdwd21/M3IPADgAAACiJ6vHVrDdWJd1NMT0zXVd2uF339rhLMTExSk5J1tgJv+jtj94/fIw5f2HeGDBYDrtDr703VCvWrJK/mP59J9qZ1Ze7TB6rWnyC364FhEuFV8N6DbRxy6ZADyXsmNfOiy9oH+hhIAhQYQcAAACUQJ1atU3juBLP3dRZM6xbQWrVqKmJowvfVXXYpyM0bOQI+dvgZ16wNqUoTIt2Z/hlLNFRUaocV8kv1wLCiany+uSrz/0avkOqWKGC2rZszVSAwA4AAAAoiRZNminX7bvdXJOSk9Tl7u6FHpOYnKRAMEHhV2OCo19es5ObnrDaD0DxdWh3kUaMGsnU+ZGpqr70wotPWF2N8ECFHQAAABCEO/jluFxavnqlgtGOXTutW6A5nU61ad4y0MMAyqRWzVro5IaNtW7TBjaf8BNTzXjztZ39dTkEOX4VBQAAAJRA5UqV2OwgwFwul1r4ODgFwpXpVdntplsJ6/w4300anWRtJgQYBHYAAABACZk3VizHLNuVjkA469TxCsVExwR6GGHB4/FYAakJ7gCDwA4AAAAoobNPO4PqkwCqFBunhvXqB3IIQJlWLiZGN159HT3V/DTXV116uT8uhRBBYAcAAACU0MXnX0hgF+Dm7FQ4Ar7V8+bbmGIfs9ts6nHzbVZoB+QhsAMAAABKqHbNWmrcoCHzF6Dm7BdfcCFzD/jhda7rDV0Ix32ofPny6tW18F3BEX4I7AAAAIBS6Nj+EpaLBUBkRITOOf2sQFwaCDv39uhl/Z2D95medX3v6K0K5SswvTgKgR0AAABQCpdc0N6q9oJ/l8Oef9a5iomOZtoBP6hauYp63daDDRF8ENbFV6mqW6+/ydunRhlAYAcAAACUcpfSkxo24o2sH5mAtMs1N/jzkkDYu/PWblZwZ/qtwXs7wz75wCOKiopiSnEcAjsAAACglBUS3W66lc0n/Kh6QoLanXOePy8JhL3y5crrlf4D5fZ4wn4uvFUpfNH5F+qqDuwMi/wR2AEAAACl1OnSKxQTze5+/gpIb7/xFvoGAgFwwdnnqnOna9mAwguvY+bfjEFP9Kc6GwUisAMAAABKqXy5ctabWFMxAd9y2O3qfNV1TDMQIE898KiqVKpMaFfKpbAvPPa0EqrGe++BQZlDYAcAAAB4QfcuXVkW64ew7oarrlWVypV9fSkABahYoYJee/4lXu9KyG6367KLOqjTpSyFReEI7AAAAAAvqFe7jm657kaqTnzIbnfo/l73+PISAIrg3DPO0pP3P8JcFZOpwm5Uv6HVC9AsiwUKQ2AHAAAAeEmfnnfJ6XQynz6qSul5y22qFp/A/AJBoMfNt+m6KzoRPBXjNcxs3PH+62+pXAw9T3FiBHYAAACAl5h+RL26dqfKzgdioqN11+09fXFqACVgKsQGPt5fLZs2p39nEb035D+qXaMmzzcUCYEdAAAA4EV33tpdsRUrUnXiZfffeY/iKsZ6+7QASiEqKkrDXxuqWtVrENoVwix+NctgzzjlVJ5vKDICOwAAAMDLDdlfeup5GrJ7sedTq2YtrE09AASf+CpV9dm7I6zl6uyUnb9BTz6nay+/ys+PDEIdgR0AAADgZR3aXaROl17B0lgvLbt79bkXCQKAIFajWnWNGvaxaiRU4+/qMZV1Lz75nG665vrAPTgIWQR2AAAAgA882+8JawknOwGWziP33K9G9Rt46VEB4CtmWeyX73+qurVqh/0vK8wGE+Y25NlBhHUoMQI7AAAAwAcqxcZZPYs8Hg/zWwJmad2prdqo5823MX9AiDDLYr/76HOdf+Y5CufXrvLlymnkW+/r2is6BXo4CGEEdgAAAICPtD/vAj14Vx/mt5gcdoeqVKqsd155k+V1QIipUL6CtRHF3bffYX0eTlXGpqquQZ16GvPJlzrz1NMDPRyEOAI7AAAAwIf69LxLl7XvEPZLxIrKvLl3OOx6//W3VLVyFZ6bQIhWmT3a5wG9MWCwIpzOMh+854WSl1zQXt+M+Ex1atUO9JBQBhDYAQAAAD5+I/fKswPVuEHDMv+m1RvMEuIhz72oFk2aBXooAErJbL7z0+ffqU3zlmV2Ls3rekx0tNUC4e3Br1vLYQFvILADAAAAfKxcTIzef/1tq2KM0K5wD/fuqysv6chzEigj6tepa+0g+8xDjykyIqLMvAbmVdWde/pZ+vXLMbr+yqvDavkvfI/ADgAAAPDTDoqfvTvC2ozC9GjD8e7t0cu6ASh7vd26d+lqVdud9W9vN3NfqDLBXOW4SlZV3YdvvqPqCdUCPSSUQTZPEbatSktLU1xcnFJTUxUbG+ufkQEAAABl0KYtm9XjwXu0N3WfcnNzAz2coHFP9zut6joqVICyb87C+Xpj2FtasWaV7Dab3CGym7YJGaOjonRvj7vU7aZbraWwQHEUJ18jsAMAAAD8bNuO7VZol5SSHNahnQnnTP3AQ3f3UZ+edwd6OAD8yPzdnzR9ioZ++J42btlsLZUNxtfDvF8iREREqNuNt+jubndYldJASRDYAQAAAEFuz969evDZx7Vo2RLrjWu4MZUq5vbyMwN0zWVXBno4AALEvP7N/WeBvvrhOyvAM9xud8Afj7wA0fTgM9V0117eSRUrVAj0sBDiCOwAAACAEJCdk6NX3npD3/38g8KJeSNsKlSGvzZUrcvw7pEAiicxOUmjx/2on38br607tlmhvgn0/PVLjbyQLjo6Whef1063XH+jzmx7Okv14TUEdgAAAEAI+ebH7zX4rddlk0257uBbEubt5WUtmjTT8FeHKiE+PtDDARCkNm7ZpMkzp2vitMlavHypFdrlbVThrQo8p9Mpl8tl/Tmharw6tr9YF5/fXme2PU2RkZFeuQZwJAI7AAAAIMSY5utPvfSCNmzeWCaXyJrKFfNz9b2jt3p3v1MRTmeghwQgRKTuT9PyVSu0fPUq6+PiFcu0Oykx32X2x/F45DqmN56poDO/ODAVvi2bNlfLps3UoG59KungcwR2AAAAQIgukf3ws0/04ahPZdqc5wZBHydvVdWd1LCRXnv+JTU7qUmghwOgDEjPSLeW0CYmJ1sb+Jjb3n2Hdt/OzXXJ7nDI6XAoOipa1eITrAo66xYfr6qVq+Qf7gE+RmAHAAAAhLAVq1fp+dde0sq1qw/vpBqKHHa7HE6n7u3ey9pZkao6AEA4S0tLU1xcnFJTUxUbG1vosTZPEf71L84JAQAAAJSe+d/0P6ZM0n8/eFdbd2wPqeAub/lrl2tvUN+evelVBwCACOwAAACAMiPH5dLY8eP0zsfvK2XvHmsZl7carnubtaOj263LL75UD99zv+rXqRvoIQEAEDSosAMAAADKYH+7SdOn6Ivvv9E/SxdbVWymV1Og2W02uT0eVaxQQTdf21k3X9dZdWvVCfSwAAAIOgR2AAAAQBm2dsM6fTN2jH75c4L2Hzjg9/DO9KYzG2LYZFPrFi3V9YabdMXFHRUVFeW3MQAAEGoI7AAAAIAwYEK6RcuXavKMqfpjyl/atnO7db/T4ZQr1+W16+TtpmiW4kZGROj8s87VJe3aq/25Fyi+SlWvXQcAgLIsjU0nAAAAgPCzaesWLVmxTCtWr9SSlcu1cs1qZWVnHRW8WX3mPJ5DG1iYm83UyZkPJpTzyHVMpV6t6jV1SstWatG0uVo2ba62rVorOio6AD8dAAChjcAOAAAAgFWBt23nDiUmJSoxJUlJyclKSknR3n17rWDOVOGZ5a1mSW10dLSqVU1QQtV461YtPkF1atVWbMWKzCQAAH4O7JzeuCAAAACA4GOCOLNTK7u1AgAQWg41owAAAAAAAAAQFAjsAAAAAAAAgCBCYAcAAAAAAAAEEQI7AAAAAAAAIIgQ2AEAAAAAAABBhMAOAAAAAAAACCIEdgAAAAAAAEAQIbADAAAAAAAAgoizKAd5PB7rY1pamq/HAwAAAAAAAJQ5eblaXs5W6sBu//791se6deuWdmwAAAAAAABA2Nq/f7/i4uIKPcbmKUKs53a7tWPHDlWsWFE2m82bYwQAAAAAAADKPI/HY4V1tWrVkt1uL31gBwAAAAAAAMA/2HQCAAAAAAAACCIEdgAAAAAAAEAQIbADAAAAAAAAggiBHQAAAAAAABBECOwAAAAAAACAIEJgBwAAAAAAAAQRAjsAAAAAAABAweP/AC4gi2RlKA+/AAAAAElFTkSuQmCC", "text/plain": [ - "
" + "
" ] }, "metadata": {}, @@ -2273,60 +2681,55 @@ } ], "source": [ - "# Visualize the MST network\n", - "from openfe.utils.atommapping_network_plotting import plot_atommapping_network\n", - "\n", - "plot_atommapping_network(mst_network)" + "mst_figure = konnektor.draw_ligand_network(mst_network, title=\"TYK2: minimal spanning tree\", node_size=5000)" ] }, { "cell_type": "code", - "execution_count": 13, - "id": "3335c478-ce7c-41a4-b36f-2e4c79581050", + "execution_count": 18, + "id": "454fb43b-2f3d-47eb-8f63-8850894a3ef9", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" + "
" ] }, - "execution_count": 13, "metadata": {}, - "output_type": "execute_result" + "output_type": "display_data" } ], "source": [ - "# Visualize the LOMAP network\n", - "from openfe.utils.atommapping_network_plotting import plot_atommapping_network\n", - "\n", - "plot_atommapping_network(lomap_network)" + "lomap_figure = konnektor.draw_ligand_network(lomap_network, title=\"TYK2: LOMAP network\", node_size=5000)" ] }, { "cell_type": "code", - "execution_count": 14, - "id": "e1c09036-efc7-4bc4-9851-ac16992bf041", + "execution_count": 19, + "id": "6613fa33-f273-48b6-a0f4-5f8e7a8c2ef2", "metadata": {}, "outputs": [ { - "data": { - "image/png": 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FmlYACTZu3GglS5Z099euXWunnHIKZwcRobBavnx59zM4atQoa9++PWcewFFYaQWQoESJElarVi13f+LEiZwZRMzo0aNdYC1Tpoy1bduWMw/gXwitAI5C6yv4OUzgjjvuoHMFgOOiPADAUebMmePqCdUfUxtjsmXLxhlCppo8ebLbBHjSSSe5iWyFChXijAP4F1ZaARxFvVoVGrZu3ep6twKRGibQuXNnAiuAJBFaARwle/bs1qxZM3ef1lfIbL/++qurn1bLNZUGAEBSCK0A/oXWV4j0MIGrrrrKKlasyIkHkCRqWgH8i9pdlS5d2o3S3LBhgxUvXpyzhAynny21udq3b5+rpT7//PM5ywCSxEorgH8pVaqUnX322W5X96RJkzhDyBQvv/yyC6yqo65fvz5nGcAJEVoBHBetr5CZ9uzZYy+99FLCyFat6gPAiRBaARzXJZdc4l5qk8zhw4c5S8hQ7777rmuppvKANm3acHYBJIvQCuC4VF+YP39+Fyzmz5/PWUKmDBPo3bu361gBAMkhtAI4rpw5c1rTpk3dfVpfISNp9f733393T4rUmxUAUoLQCiDZEoEJEyZwlpDhwwS6du1qBQoU4MwCSBFaXgFI0p9//mkVKlRwjd///vtvN9oVSI+ff/7ZzjnnHPcztXz5clfTCgApwUorgCQpUFStWtVtxJoyZQpnCuk2aNAg97Jt27YEVgCpQmgFcEJMx0JGWbdunesaEG5zBQCpQWgFkKK6Vm3G0q5vIK3Ul/XAgQOuM4UGCgBAalDTCuCE9u7da0WLFrXdu3fbggULXD0ikFr6+SlXrpxt3rzZPvjgA7v66qs5iQBShZVWACeUO3duu+iii9x9Wl8hrUaOHOkC66mnnmqtW7fmRAJINUIrgGTR+grpoY184Q1Yffr0sWzZsnFCAaQa5QEAkrVs2TI7/fTT3eQirZbRWxOp8dlnn9kVV1xhBQsWtFWrVrmhAgCQWqy0AkjWaaed5kLrwYMH7auvvuKMIVXCI1u7detGYAWQZoRWAClC6yukxY8//mjTpk1zJQG9evXiJAJIM0IrgBSh9RXSIlzLeu2111rZsmU5iQDSjJpWACluWVSkSBHbt2+f/fbbb1atWjXOHE5ozZo1bgywykq+++47q127NmcMQJqx0gogRfLmzWuNGjVy92l9hZR48cUXXWBt2LAhgRVAuhFaAaQYra+QUrt27bJXXnnF3WdkK4CMQGgFkOrNWDNnznShBEjK22+/bVu3bnWdJ9TuCgDSi9AKIMWqVKli5cuXt/3799v06dM5c0h2mMCdd97JMAEAGYLQCiDFsmTJQusrJOvTTz+1pUuXWuHChe3mm2/mjAHIEIRWAGlufQWcaJjArbfeavny5eMkAcgQtLwCkCo7duywokWL2oEDB2zJkiVWqVIlziASfP/991anTh038nflypVWunRpzg6ADMFKK4BU0dz4Bg0auPustuJY4VrWdu3aEVgBZChCK4BUo0QAx7Nq1SobO3ZswgYsAMhIhFYAaW59pZnye/fu5QzCeeGFF9wwgcaNG1vNmjU5KwAyFKEVQKqdeeaZ7tLvnj17XM9WYOfOnfbqq6+6E8EwAQCZgdAKIE2tr5iOhcTefPNN27Ztm1WuXNkuv/xyTg6ADEdoBZAm1LUi7NChQzZ48OCEWtasWfnTAiDj0fIKQJr8888/VqxYMRdYVqxYYRUqVOBMxqmPPvrIrr76aitSpIjbjJU3b16/DwlADOLpMIA0KVSokNWvX9/dp/VVfAsPE7jtttsIrAAyDaEVQJpRIoB58+bZnDlzLEeOHNajRw9OCIBMQ2gFkO7WV1OnTrX9+/dzJuN4mECHDh3slFNO8ftwAMQwaloBpNnhw4ddUNm4caN99dVXdtFFF3E248iff/5pp512mqtrXrBggZ1zzjl+HxKAGMZKK4C0/wLJmpXWV3Fs6NChLrA2bdqUwAog0xFaM1njxmZ9+nj3tbn6f11hIqJ/f7MaNSL3eIhP1LXGp+3bt9vrr7/u7jNMAEAkEFoj6LvvzLp1i9zj3XOPag0j81j79nkBOUsWswUL/v3vb71ldvbZZrlzm518slnPnpE5LmS+Zs2auWEDv/zyi61Zs4ZTHifeeOMNF1yrVq2a8MQFADIToTWCihc3i2T7wpNOMitaNDKP9Z//mJUqdfx/Uzecvn3N7r/f7LffvCDdokVkjguZT71a69at6+7T+io+HDx40J5//nl3n2ECACKF0BpBx5YHLFpk1qCBt/pYrZrZlCneSuX48Sn7fFrUuu46s8KFvXDaqpXZypVJlwfcfLNZ69Zmjz9uVrKk+myaPfKI/gCZ3XuvWZEiZmXKaAUldV/XhAlmkyaZDRz473/butXsoYfMRozQ7mKz004zq17d7IorUvcYCDZKBOLLuHHjbOXKle4Jyw033OD34QCIE4RWnxw+7AVIrbzOm2f22mveamRK7d5tpo3aWk2dOdNs9mzvvq7Snajz0Fdfma1d632MVkAVbFu29IKvjqN7d++2alXKjmPDBrOuXc1Gjjz+KvLkyd7XqoBdtaoXiq+9NuWfH9HV+mry5MluFQ7xMUzg9ttvtzx58vh9OADiBKHVJ1qZXLbMW4FUlxituA4YkPKPf+897dw2GzbM7KyzvED45ptmf/1lNn160h+n1dQhQ8yqVDHr1Ml7qQD84INmlSqZPfCAWc6cZnPmJH8MoZC3equQW7v28d9n+XIvtGp1V6vMH3xgtmWL6iBPHK4RXWrXrm1Fixa1bdu22dy5c/0+HGSib775xn2Pc+bM6UIrAEQKodUnixeblS3rbUoK+19ZYIr88IPZ0qVm+fN7K6y6KZDu3euF4aTo0rzCbpjKBBR6w7Jl80oNNm5M/hiGDtUOYi/oJkWB9cABLyirjvW888xGjzb74w+zadNS+tUi6LJly2bNmzd39yeoXgQxv8qqsoCS+gUCABFCaPWJVilVv5pWCoO1ank79RPflizxakeTkiPH0a/rGI73Nn3+5KjUQItquXKZZc9udvrp3tu16tqxo3c/PCBHNbuJN6QVK+atCiN2UNca+1asWGEfffRRwgYsAIik7BF9NCQ44wwvtKkmNLxYoZZYKVWzptmYMWYlSpgVKODPidXq6WOPHXldtbJaTdVx1avnve2CC46sLKueVVQe8PffZuXL+3DQyDQt/tcSYv78+bZhwwZW4WLQkCFD3BQ0raqfeeaZfh8OgDjDSqtPVNOpnfRakfz5Z6+GNLwRKyUrsNdf761WqmPArFlaATGbMcOsd2+z1astIsqVM9PfrfCtcmXv7fq6wgFVb9Mx6ri+/trs11+9r1mhnYmfsUWXimvq2ZSZTZw40e/DQQZTvfIwFdEzTACATwitPlHtqFpb7dxpVqeOWZcuXmsoUQus5GinvjoAKDi2aeNtxNLGqj17/Ft5TYo2m2nl9fLLzRo18soRvvzy32UJiH6UCMQuBdadO3da9erVE+qXASCSsoRCqq5EEGi1VV0EtMFKq5XppQ1SWoVVOywgEmbPnm0NGza0IkWK2MaNG90GLUS/AwcO2GmnnWarVq2y4cOHWyc9QwaACGOl1Ufjxnl9TDUQQIMFNOJVNaDpDax6GqIOApo8pW4BQKScd955VrBgQduyZYt9//33nPgY8eGHH7rAWqJECetwop2eAJCJCK0+2rFDzbm9+k71O1WZwMcfe/+mvqbhVlbH3v7Xxz1J27Z5u/XVb1X9V9MqPceA+JQ9e3a7+OKL3X1aX8UGXYx79tln3f0ePXpY7pTULwFAJqA8IKC0w16349EAmtKl4+MYEH10+bhLly5Wr149Bg3EUMlHrly53GprcfWsAwAf0PIqoDQoQLd4PwZEb+urb7/91jZv3uwmZSH6hwncdNNNBFYAvqI8AECGKlOmjJ111lnusvIkzStG1Fq2bJmNV5sTM+vTp4/fhwMgzhFaAWQ4Wl/Fhueff949+bj00kutWuKxdgDgA2paAWS4adOmWZMmTdxu83Xr1lnWrDw/jjZbt261smXL2q5du2zy5MkJG+wAwC/8JQGQ4S644ALLly+f69W6YMECznAUev31111gPfvss61p06Z+Hw4AEFoBZLycOXMmBJ0vNf4MUWX//v02ZMgQd/+uu+6yLCmZLQ0AmYyV1gDZtGmT9erVy81v161r1662du1avw8LSBPVQQr9WqPP+++/b2vWrLGTTz7Z2rVr5/fhAIBDaA0Q9T/U6satt95qS5YscbO+zzjjDHvzzTfdZgggGjdjffPNN/bPP//4fThIIf2uCbe56tmzp+vPCgBBQGgNGF2GU2j96aefXF3gjh073Jzv1q1b24YNG/w+PCDFKlSo4J50HTp0yKZoTjGiwsyZM23+/PmWJ08e97sIAIKC0BpQp512ms2YMcOefPJJy5Ejh33yySd25pln2rhx4/w+NCDFaH0VfcKrrB07drRixYr5fTgAkICWV1Hg559/thtvvNG9DE+mUf/EQoUK+X1owAlpuIAmZJUuXdqNAGVDT7CpLEmr4yoRWLRokVWpUsXvQwKABKy0RgG1nNFIzAceeMD1uxwxYoR729SpU/0+NOCELrzwQneZWZt6fv31V85WlAwTaNmyJYEVQOAQWqOENkM8/vjjNmvWLFc6oFUrNfvu3bu37d692+/DA44rd+7c1rhxY3ef1lfBtmXLFrfpU+6++26/DwcA/oXQGmXOP/9816z9tttuc6+r24DaY2klFggiWl9Fh1dffdX27Nlj5557rjVq1MjvwwGAf6GmNYpp5UqdBTQmM1u2bNa3b1976KGH3MYtICj++OMPq1y5svu53Lx5s+XPn9/vQ8Jxhgmo24N+l4wcOdJuuOEGzhGAwGGlNcp3ZqtOsH379q6t0KOPPmrnnXeeLVy40O9DAxJUqlTJlbQcOHDAvvrqK85MAL333nsusJYqVcquvfZavw8HAI6L0BrlihQpYqNGjXJ/dAoXLuz6K6pcYNCgQXb48GG/Dw9waH0VHcMENJFPI3gBIIgIrTHiuuuuc6uuqh/ct2+fmxfepEkTW7lypd+HBiTUtaqkheluwTJt2jQ3zCRv3rzWrVs3vw8HAJJEaI0hurT3+eef2yuvvGL58uVzwwnUGosxsPCbOghoBU9PohYvXuz34SCR8CrrLbfc4q7cAEBQEVpjDGNgEUR6EqWerULrq+DQAAE90dXvDbXPA4AgI7TGKMbAImhofRU8gwcPdi+vvPJKt2EOAIKMlldxgDGwCAJ1tahevboblKFG9qqhhH/+/vtvK1u2rO3du9dmzpxpDRs25NsBINBYaY0DjIFFEFStWtXKlSvnNgpOnz7d78OJey+//LILrLVr17YGDRrE/fkAEHyE1jgbA6sVFcbAwg+qm6T1VTAorL7wwgvuvjqN6HsDwKPJ0336ePcrVFAZTcadGf1XGz+eM51WhNY4c8EFF7gxsN27d3evMwYWkURoDYbRo0fbxo0brUyZMta2bVu/DwcIrO++M8vITnDr1qm+33yxZYt6MZtVqWKm6qxy5czuuMNs27aj32/JErNWrcyKFTMrUEC5Qa3xLBAIrXHopJNOcpcGJ0yYYKeccoprQXT++edbv3793NQiILM0bdrUsmfP7ka7Llu2jBPt8zCBO+64g7HPwAkUL+4FvIxy8sm68unPKV+71rsNHGj2yy9mb72lbi5mnTsf/X6XX2528KCZBhj+8INZjRpmLVuarV9vviO0xrHwGNh27doxBhYRUaBAAbfaL7S+8seUKVPc/3u1IevatatPRwFEh2PLAxYtMlMJeO7cZtWq6f9T6i75J35fzf7R62PHmmkfZJ48ZnXqeCudWuGtXVuLTPpbbbZp09Gf5403zKpX9wLwKaeY9eyZ/GOfeabZhx+aXXGFOgyZNWliNmCA2aefeiFV/v7bbOlSs/vv134YjeE2e/JJs927zX77zXxHaI1zaiauS4W6MQYWkUDrK3+FV1k7d+5shQoV8vlogOihyeitW3srr/Pmmb32mlnfvun/vP36mT30kNn8+WbZs5u1b2/2n/+YPf+82axZZroo9X//d+T9X37ZrEcPr2xBK6affGJ2+ulpe2yVBqgEQI8rRYtq06zZiBFmu3Z5YfbVV81KljSrVcv8FwL+Z82aNaFLL700pB8L3Ro1ahRasWIF5wcZasGCBe7nK2/evKE9e/ZwdiPo119/dec+S5YsoWXLlnHugeNo1CgU6t3bu1++fCg0aJB3f8KEUCh79lBo3boj7zt5ciikJDVuXMpOZeL31Z9XvT5s2JF/Hz3ae9vUqUfe9sQToVCVKkdeL1UqFOrbN/3fur//DoXKlfv351q9OhSqVSsUypIlFMqWzXu8H38MBQIrrUjAGFhEqgWbaql3795ts7SMgIgPE7jqqqusYsWKnHkgFTSBumxZry41rG7d9J9CXYYP04qmnHXW0W/buNG7r5eqS23aNH2PuX27V7uqEget9IYpMt9+u1mJEt4q77ffepuyVNOqTWR+I7TiKIyBRWaj9ZU/1C1g5MiR7v7dd9/t01EA0UuBLjO6w+XIceR++PMf+zaVJojqXtNrxw6vTlb1suPGHf1Y2nz12Wdm773ndQ2oWdPspZe8x337bfMdoRXHxRhYZCZaX0XeSy+95AY71KtXz+rXr+/DEQDR7YwzzP76y2zDhiNv04apSMqf39scNnVq2ldYmzc3y5nTq4XVhrLEtOFKsh6TDvV6ODj7idCKJGXLls3uu+8++/77790lXY19bNOmjXXs2NH++ecfzhzSrFmzZpY1a1Y32vUv/RVAptqzZ48LrcIwASBtmjXzdt137Kjx6GZz5hzZiBXJ+Rz9+5s9+6z6rJv98Ye3gWvo0JStsCqwaoPV8OFegFUbK90OHfLeR89nCxf2vsaffvI6Gdx7r9mKFV45gd8IrUgWY2CR0dSp4rzzznP3aX2V+d59913btGmTG6OrJ54AUi9bNq9d1c6dXmuqLl28Xf9y7IplZurY0WvDpeehanulelOF1+So56q6HqjjgLoNqFVW+LZqlfc+Giig3q36GtUSS223Zs82+/hjs3POMd9l0W4svw8C0WPOnDlupTXcGF7NyZ944gnLm5HdlxEXHnvsMXv44YetdevWNk6FVcgU+hVfvXp1+/333+3ZZ591K60AMoZWW9W3Vb1NtQp7Ivv2eeF28mSziy/mO5AWrLQiVRgDi4yua506dart37+fE5tJJk6c6AJr/vz5XW9WIN7piZwWYNJCz68VOjUYQIMF1CtVG5aSC6y6FD96tFcbqtpYpA2hFanGGFhkhJo1a1rx4sVtx44d9s0333BSM3mYQJcuXaxgwYKcZ8Stw4cP2/jx461OnTrWq1evNH0O1YWqJZSC5803e2UCunQujz/u7cg/3k1to+67z+ypp8zKlLFM8e67ST++yghiAeUBSJctW7ZYjx497D31x/hfEFFbnWpq/gYk48Ybb7R33nnHbfh7UrMCkaF++eUXV5OuTW8q6amgbcdAnDl06JC9//77NmDAADfCWM4///w0r7YmZcsW73Y8ahlVurRlqh07ju5skJjaWpUvb1GP0IoModB6++2329atWy1XrlyuzrV3797ujyVwog1CN9xwg51zzjm2YMECTlQG69Spk7355pt27bXX2pgxYzi/iCsHDhxwv2P092iJtsG7llH53SrrPffc4zaEIroQWpFh1q5d6y5BTpgwwb3eqFEje+utt1jdQZK0o71kyZKuxmzNmjVuKhsyxvr16618+fKuXnju3LmuPysQD9SPWH97dPVmpYpPzaxIkSLWp08f69mzJ2E1irEMhkwZA6tuAjNmzHCXJrXSQ5MKHI9qWmurp8r/Ngwh47z44osusOoyKIEV8UCjoZ9//nk3HKd79+4usJYoUcKefvppd1/dSlhdjW6EVmTaGFj9sdQmG12iVFujDUkV2yCuXXrppe5leIUeGfPH++WXX3b3aXGFWKe/Mwqmp556qltN1VWb0qVLuwC7YsUKu/fee11ZAKIf5QHI1OL3gQMHume3qi0qVqyYvfbaa3bVVVdx1pFAnQP0BKdQoUKuXCB79uycnXR69dVX3UqT/oj/8ccfbrodEGu0h2Lo0KE2ePBgd1+02fCBBx5w/cS1vwKxhdCKTPfzzz+7XeJ6KTfddJMNGTKE9jtIeHKjMgH90dFuXgVYpK+tj7p3LF682P0x14ZIIJboya1+tl944QXbrgaoZla5cmV78MEHrUOHDpZDW+URkygPQMTGwN5///2um8CIESPsrLPOck3lAa0CNtdAbEoEMoTKLBRYCxQo4EpzgFixbt06u/vuu91q6uOPP+4C65lnnum61yxcuNCtrhJYYxuhFRERboM1c+ZMVyS/atUqu/jii90qkOrvEN/C07G+1NBrZMgwgW7dulHHh5jw119/uX7gKnfRz7f+ZtSqVcuNf9b+ieuuu44SmDhBeQAibufOna4wXl0GpEqVKm4ggaaUIH5XUMLtrrRhTzt+kXrqdXvuuee6P+DLly+3cuXKcRoRtZYuXeraVr399tt28OBB9zaVD2mfRIsWLdzGX8QXVlrh2xjYL774wk455RR3KbN+/frWr18/t2EL8Uc/BzVq1HD3J02a5PfhRK1Bgwa5lxomQGBFtNKlfg0d0YLG8OHDXWBt0qSJTZs2zWbPnu2uzBBY4xOhFb62OtJIvXbt2rnNOI8++qidd9557hcW4rf1FSUCaR/uMXr0aHefNleI1isFbdu2dXWqmmSlTYWXXXaZ26CpPRCNGzcmrMY5Qit8pSkl+kOrm5o+z58/32rWrOlWjPQLC/FX16ohA3zvU087qXWlomHDhgkDG4BoMG/ePLviiitcacuHH37ohtG0adPGfvjhBzewho4iCKOmFYEdA6tn1ZqmpZ2iiH3hXr7aEaxuE9Q4p9yuXbusbNmyrm2YNqdomAcQdJqa+Nhjj9mUKVPc6+ouo01Val2l1VbgWKy0IrBjYKdPn84Y2DiiVjXqKCFMx0odbVRRYFVnDq1YAUGlVVTVrV944YVuYUKBVQNFbrnlFvv9999t1KhRBFYkidCKQGEMbHyj9VXqqZQivAFLIyyZfoWghtVPPvnE6tWr53b+z5o1y3LmzGm33Xabm9r2xhtvuAEBwIlQHoDAYgxs/FH/Xu1612VCTb1RzTNOTEGgVatWbgyuzp+6cwBB+j3+0UcfuTKA8FTEPHny2K233mr33HOPlS5d2u9DRBRhpRWBpRWj++67z77//ntXJvD333+74nxNPdm2bZvfh4dMoLrM6tWru9XDyZMnc45TMUxAIYDAiqBQmyr131ZtqlqwKbDq51OTEVeuXOmuDhBYkVqEVgQeY2DjC62vUk67q7WZRTWBPXv2zMTvCpAy+/fvt2HDhrkeqzfddJMtWrTIXQVQH+4///zTTUZkeAjSitCKqMAY2Pisa6X11YmFa1nV67hMmTIR+O4Ax7dnzx7Xdk2bAbt27eomsqkbiEKqwmr//v0p90G6UdOKqMMY2Ni2b98+K1q0qGvj9OOPPyZMysLRVq9e7Wax6zKsVlzV3xjw4/exOr4MHDjQjWAOT7jTqO5u3bpZvnz5+KYgw7DSiqjDGNjYX1XXyEah9VXShg4d6gKr2gYRWBFp2lcwYMAA10dbAVWBVZsoX3rpJbfKeueddxJYkeEIrYhajIGNXbS+Sn5169VXX3X3GdmKSNKG2IcfftjKly9vDz30kG3evNlOP/1017Jq6dKlroVV7ty5+aYgU1AegJjw3nvv2e233+4arIfrX3v37u1aJyH6aKVGtXHqIKE/igULFvT7kAK3ynrHHXdYpUqV3EYXfs6R2davX2/PPvusvfzyy650R6pVq2Z9+/Z13QG0GRDIbPxFR0zQRpRff/3VrdCpJlKrT02bNnWtVRB9Klas6BqNq8fj1KlT/T6cQNE5GTx4sLuvS7AEVmQm9f7VEyTVT6tuVYH13HPPtQ8//NB++eUX69ChA4EVEUNoRUyNgf3iiy8YAxsjaH2V9DABrURr8IJaCgGZQT9j2kilKx5a2d+7d6+dd955btS2Nv6pZzZPmBBphFbEFMbAxl5dqzZjaQQkjh4m0L17dza6IMOp3EQDXHSl4/XXX7cDBw64zX5Tpkyxr7/+2i677DL3exbwAzWtiFmMgY3+vo9aTdQKj0o/NCkr3n377bdudnuOHDlc6YuuLgAZQROr1A3g/fffT3iSqCeOqllt0KABJxmBwEorYhZjYKOb5pNrhUdofXX0MAHVERJYkRG+++47a9WqlZ1zzjk2duxYF1j1up4g6f8dgRVBQmhFzGMMbPSi9dURf/31l1sFC2/AAtJj9uzZ7v9X3bp1XZ20Lvlfd9119tNPP9n48eOtTp06nGAEDqEVcYExsNG9GWvWrFmuN2k8GzJkiCt5UVcMrYoBqaVVVHXj0BWMhg0b2sSJE90VKW3oW7hwoWsdqCf5QFARWhFXLrjgAluwYIHbxBIOApompEtkCB71IVWrnf3799u0adMsXm3fvt1tihGGCSAtYVW7/s8//3y7+OKLbcaMGa4uWt0BlixZYm+//badccYZnFgEHqEVcYcxsNFDlyxpfWVu2pCCq4JFuGQCSM7hw4ddP1U9MW/ZsqXNnTvXTavq1auXLVu2zE1VU09kIFoQWhG3jjcGtn79+u4yGYIj3ltfHTx40J5//nl3n2ECSOnPzKhRo+yss86ytm3buqtL+fLls3vvvddWrFjhrjCVLVuWk4moQ8srgDGwgaZa1qJFi7oSgcWLF7v+kfHkgw8+sGuuucadA00nUlcF4Hj0f+Sdd95xY6yXLl3q3qYRyJpopbHW+hkCohkrrQBjYANfzqFNI/Ha+io8TOD2228nsOK41Mv4pZdecjXgnTt3doFVAfWxxx6zP//8011FIrAiFhBagf9hDGxwxWvrq2+++cbdcubMaT169PD7cBAwu3btcr17VZeqnw+1RStZsqQNHDjQDZ/QYACttAKxgvIA4Di0UqFRhhpbKFdeeaW99tpr7g8CIu+3336zM888020i2bJlS9ysOF577bWuN2unTp1s+PDhfh8OAkKb8l588UW3Cv/333+7t6lG9b777nM/K/Hy/wPxh9AKJIExsMGhDVjlypWz1atXuxKBeNhBrw0zp59+utsB/ssvv7jQjvimJ2zaRKWNef/88497m1ZZH3jgAddrVSvyQCyjPABIAmNgg9X6Kt5KBBROFFibN29OYI1zGzdutPvvv9/Kly9vjzzyiAusan82cuRItzmxS5cuBFbEBUIrkAzGwAZDuF9rPGzG2rZtmw0bNszdZ5hA/FqzZo316dPHKlSoYE899ZTrpKFpaCoZUbu+G264wbJnz+73YQIRQ3kAkApz5sxxta5qzC1qJaP2Mnnz5uU8RiDIFStWzPWg1PmP5abozz77rN1zzz1WrVo1F0600oz4oU1UCqkaKqE2VlKnTh17+OGH3ZAAfh4Qr1hpBVKBMbD+0S5ojaEUzUyPh2ECWmUloMQPjVS95ZZbXOuqV155xQVWtXubNGmSzZs3z6644gp+HhDXCK1AKjEGNhjTsWKVxm5qiEDx4sXt+uuv9/twEAFaTe/QoYNVrVrV3nrrLffEpVmzZjZjxgybOXOmu8+TF4DQCqQZY2D9q2v96quvbN++fRaLXRJUGiDqu6kWX4hdP/zwg7Vp08aNWx09erTbeKfV1Llz57rV1QsvvNDvQwQChZpWIAO89957bmLR1q1bLVeuXK7OVWMTs2blYkZGhzoNgVi/fr1NmTLFmjZtarFWM92gQQP3MxRebUXs0cAITav64osv3OtaRb366qvdMIAaNWr4fXhAYPEXFcgA7dq1c5f4dPlaK4CqRVSg0ghFZBz9cW/RokXMtr4Kr7Kq5yaBNfaecE2bNs39XlBttgKrntSqA4B+d6gjAIEVODFCK5CJY2B12e/NN990f7CQMWK19ZU6IowfP97dV5sjxAb939fPqlbQmzRp4kpb1Kaqc+fOrseqeq2qSwSA5BFagQxeCbz11lvtp59+cqspO3bscGMVW7dubRs2bOBcZwBtStEKlUa76hJ6rFDHAAUchXJCTPRTfaqehKhV1WWXXeZGQqvsQ7XKeoKiPryaeAYg5QitQCbQHyPt+n3yySctR44c9sknn7hV13HjxnG+06lIkSJWr169mGp9pVpo9eQUhglE//hn1bhrCMBVV13lNlvpysvdd9/tRvO+8MILbiQxgNQjtAKZPAb2u+++c1O1Nm3a5HYKaziBGuUj7WKt9dXrr79uu3btck9sYm1zWbw4cOCAvf32226VvH379q5ONX/+/Pbggw+62vaBAwfaKaec4vdhAlGN7gFABGhzVv/+/e3pp592lw3Lli3ral0JKGmjJwJ169a1AgUK2N9//+1Ws6M57Jx66qluZKd+Jm6++Wa/Dwmp/L+t3qq6qqJJVuGrAapL7tmzpxUuXJjzCWQQQisQQYyBzRgK/iVLlnSBVQ3Yo7mf5ahRo9wQAX09WpFT3SOCb/fu3W6F/JlnnnFPOKREiRJu/G737t3dKiuAjEV5ABBBjIHNGNqI1bx586hvfZV4mIBW5QiswafNlbpiotVxraYqsJYuXdptpFPN6r333ktgBTIJoRWIMMbAZmzrq2gOrbNmzbL58+dbnjx53Oocgr1Z7tFHH7Xy5cu7WvWNGzdahQoV7NVXX3XdAO644w634QpA5qE8APDRli1bXAsc7TaWWrVq2YgRI2h5lAIKDbqkLuvWrbOTTz7Zok2rVq1cZwkF1pdfftnvw8FxaAPl4MGD3a7/7du3u7dVrlzZbbDq0KFDVNdTA9GGlVbAR9qwoZnjumnDhtrj1KxZ0wYNGuTqNpE01Q/Wrl07altfLVmyxD799FN3n2ECwaMnQmpTpdXUxx9/3AXWM8880z3BXLhwoesCQmAFIovQCgQAY2Djr/VVeJhAy5YtrUqVKn4fDv7nr7/+cvXFqll97rnn3IYrXQFRj2UNDbnuuutcOzsAkUd5ABAgCjGvvfaaazCvP5bagaxwozZImraFo2nKkDa3aZVal3GjJUyoLKRMmTK2Z88eN9bzoosu8vuQ4t7SpUtd2yr1Wj148KA7H5pq9/DDD1uLFi34/wcEACutQIAwBjZ11Ku1UKFCbpPMt99+a9FCm3cUWGvUqGGNGzf2+3Dimi7133DDDW61e/jw4S6wNmnSxKZNm2azZ892q/k8YQSCgdAKBBBjYFMme/bs1qxZs6jqIrB//34bOnSou68VdQKRPxYsWGDXXHONq1N99913XQ35ZZdd5nopT5061T2Z4HsDBAuhFQgoxsDGZuurMWPGuE0+Gump+khE1rx58+yKK66wc8891z744ANXkqPxytoE+fnnn7uSAADBRGgFAu6cc85xl77vv/9+11RfLbE0o16rQTBXbxge7aq61iBTQNLmHunVq5flzJnT70OKGzNnznSr8uedd5599tln7v9S+/bt7ZdffrEPP/zQde0AEGyEViAKaFLSE0884f7wVqxY0VatWmUXX3yxa5Wk2sh4VqpUKRfsFQgnT55sQTZ9+nR3WVpN6G+99Va/Dyfm6Wdi0qRJbsxvo0aNbMqUKa6k5JZbbrHff//djdBVeQCA6EBoBaKIdsqr7U54epI6C2iFSKuM8SxaWl+FR7YqNKlHLzIvrKoHrlZVtRKvyWNa1b7tttvsjz/+sDfeeMMNCAAQXWh5BUQpBbTOnTu7+kjVv/bt29ceeuihuGx4rhVMtY0qXry4rV+/3l36DZpFixZZ1apV3eaexYsXW6VKlfw+pJhz6NAh++ijj2zAgAHuyZ1oRK5Wte+55x4rXbq034cIIB2C95sdQIo3IP36669uM4/+WGsuev369d1lz3ijzTPqaaua1vnz51sQaRSoXHnllQTWDKY2VSNHjnSX+q+99loXWE866SRXB75y5Uo3YY7ACkQ/QisQxXSJWWMlE4+B1a7oeBsDq0u/TZs2DWwXgb///ts1rQ+3uULGtQ8bNmyY67F60003udVs9e3t16+f/fnnn64OXON+AcQGQisQAxgDG+zWV6+88ort3bvXjQNt2LCh34cT9bT58IUXXnD9jLt27WrLly+3YsWKuZCqsNq/f39qhoEYRE0rEGMbUDRt6e67704YAztkyBDr2LFjzDdK18z48uXLu3pWrWxq5TkI9u3b545rw4YNrol9hw4d/D6kqLVz50738z1w4EBXuyzqd3vvvfdat27dLF++fH4fIoBMxEorEEMUTNVZQDV9qvPcsWOH26l+1VVX2caNGy2WlStXzqpVq+bKItTaKChUuqHAWqZMGTeBCam3bds2t7mqQoUKbkOVAqu+3y+99JJbZb3zzjsJrEAcILQCcTAG9uOPP3abVMaNG2exLGitrxIPE7jjjjvisrNDemzevNn+7//+z61UqzOGXtfPtlpWLV261LWwyp07t9+HCSBCKA8AYpxWXbVJ5eeff3av675KBgoWLGixRsMFmjdv7i4Zr1mzxveSCK34agqTLluvXr3abRJC8rSSqrCvldRdu3a5t2kVXW3d1B1AAwIAxB9WWoEYF09jYLXJSdOm1LtW4zmDMkxA/XQJrMnTpDetSJ966qn2zDPPuMCqbhgas6rvp+qBCaxA/CK0AnEgXsbA6lKxhgwEoUTgt99+c50MtNrbu3dvX48l6FSXqgEAp512mg0dOtR1WtA0q88//9y1cWvTpk0gB0YAiCx+CwBxJB7GwAal9VV4mIA2wemJAv5NfVXV2UIjVV977TU7cOCANW7c2JVVfP3113bZZZf5XuIBIDioaQXiVKyOgV22bJnbrKPLyNq4U6BAgYgfgzo1aHe72l3Nnj3bPVnAEaqvVjeA999/321WC2+i089ggwYNOFUAjouVViBOxeoYWF1irlSpkhvt+dVXX/lyDC+//LILrHXr1nWtx+DRin7r1q1dnfXYsWNdYG3VqpWrudaTKAIrgBMhtAJxLFbHwPrZ+kr1mC+++GLCyFYub5tbbdb3RCFe7dd0TvRkSaUq48ePtzp16kT8+wQg+hBaAcTcGNhwaFVda/jyc6Ro6tWmTZtcecDVV19t8UrnXR0qVKOqrg4TJ050ZShqubZw4UL3ZOnss8/2+zABRBFCKwCnVKlS9sUXX7hL22obNX36dNca66233op48EsvBSV1TNBoV2328WOYgDoGxGN7Jp0D7fpXWYQ6VMyYMcPVSWvM6pIlS+ztt9+2M844w+/DBBCFCK0AYm4MrEJ3o0aNIl4ioNVErSLmz5/fbXKLJyon+eijj6xWrVrWsmVLmzt3rmtB1qtXL7c57tVXX6WLAoB0IbQCiMkxsH60vgqvsnbp0iUmJ44djza8jRo1yq3Kqxzixx9/dBPA7r33XluxYoWbvla2bFm/DxNADKDlFYAT0qrrjTfemDBhSn011d816KFMZQFVq1a1nDlz2pYtW1yQykw6P6rRVBN8rSxWqFDBYpl6qo4cOdINrVi6dKl7m34mNNFKpRFFixb1+xABxBhWWgGckNoTqVXRfffd5wKZahK1quZXO6mUqlKlipUvX97279/v6nMzmzouiFYbYzmwqjuC6p61Gq8SCAVWBdTHHnvMVq5c6VqnEVgBZAZCK4BkaVOTSgUSj4FVd4Egj4FVfW6kSgTWr1/vugaIOi/Eol27drlgru//7bff7ja5lSxZ0gYOHOjCqgYDFCpUyO/DBBDDCK0AUj0GVnPio2EMbKT6tb700ktuRVfDGc477zyLJdu3b3dPWE499VQXyDVBrUyZMjZ06FBXs3r33XfbSSed5PdhAogD1LQCyJAxsBoBq9W2II2BVfcDXapW/eUff/zhLmlnNK00a6ORRsZqLGnbtm0tFqgOWJuo9MTkn3/+cW/TKusDDzzgeq2qVhgAIomVVgAZMgb2kUceCdwYWLWeCo8GzazVVm1GUmBVHatGlEY7tTa7//77XT2wvqcKrOqrqq9z8eLFrjMCgRWAHwitADJ8DOzgwYMDMwY2M+ta9TWGN2CpvjeahwmsWbPG7rzzThe+n3rqKdu5c6frhjB27Fj35OSGG26I6q8PQPSjPABAhoUelQuowX54KpWmaWnFzk/hVlR58uRxl7zV8D6jaPKTGukXKFDAVq9e7VZ2o402USmkvvHGG64uV+rUqWMPP/yw+9q0oQ0AgoCVVgAZonTp0u4SfNDGwGoogo5NtafqfpAZwwQ0ojTaAqtqfDXtrFKlSvbKK6+4wNqwYUObNGmSzZs3z6644goCK4BAIbQCiOkxsDqmcBeBjCwRWLBggetVq01oGlUaLXSpv0OHDq5OVU8oNNGqWbNmNmPGDBfqdZ/VVQBBRGgFEPNjYDOj9VW4lvWaa66xcuXKWdCp3rhNmzZu9Vs1yKrH1Wrq3Llz3erqhRde6PchAsAJUdMKIObHwGoHfLFixVyXA/UWTe/EqrVr17rPoVZaupRet25dC6pvvvnGTav64osv3OtaRdXULrUnq1Gjht+HBwApxkorgJgfA6tJTWrHlVElAi+++KILrGqnFcTAqhriadOmuallKtNQYNW5VwcAlQeonyyBFUC0IbQCiIsxsBnV+krjTLVxKYgjWxVW9fVpQ1WTJk3cEwO1qVJXB/VYVa/VatWq+X2YAJAmhFYAcTEGNlzXOnXq1ITWTmkxYsQI1zrrtNNOsyuvvNKCQPWp48ePd62qFM7nzJnjnij06NHDli1bZsOGDcuUaWAAEEmEVgARpTn1WqnUJetTTjnFFi1a5C7d9+/f311yzyy6HF6iRAnXNF+hLiOGCahzgJ9UoztmzBj3talDgzZbqd3Y3Xff7Wp3X3jhhajYJAYAKUFoBRAXY2BV05ne1lefffaZ62+qGtmbb77Z/KJwr9pgXepv166d2+SmPrEPPvig/fnnnzZw4ED3hAAAYgmhFUDcjIFNb+ur8DABlTdoxTjS9u3bZ6+++qpVrlzZheYlS5a4c/joo4+6sDpgwADXJQEAYhEtrwDEzRjYzZs3W/Hixd2GJY1d1aSslFKgrl27ttvYpEvvZcqUsUjZvXu3q0t9+umn3XkSlTrcc889bphDtE3jAoC0YKUVQNyMgS1atGhCi6rUlgiEa1lVzhCpwKqJYgqqp556qvXu3dsFVp0nbWBTcL733nsJrADiBqEVQCDHwKq+NTPGwKal9ZVWZbXhSe68806LxDAEXfLXKrP62+pr1zADlQaoG8Add9zhgj0AxBNCK4DAUXumWbNm2RNPPJHhY2BV11q2bFkXBA8ePJiij/noo4/cqm+XLl2sVq1allm2bt3qBheolZZaWCmotm7d2j755BNXv9qtWzfXygoA4hE1rQDiagysOhVo933u3Lkz+EgBAJmJlVYAUTMGVuUD6R0Dq96qBFYAiD6stAKIGrNnz3YrrcuXL3eva3OSSgjy5Mnj96EBADIZoRVAVNFEK7V60qYkOeOMM9xoVY0wBQDELsoDAEQVv8bAAgD8xUorgKilYQE9evRIaEelnf0jR460qlWr+n1oAIAMxkorgKilYQEZPQa2cWOzPn28+xUqmA0ebBHTv79ZjRqRezwAiCaEVgBRr127dq4lVosWLWzfvn1uAEDTpk3tzz//TNfn/e47s27dLGLuucds6tTMfYwrrzQrV85MHb9OOcXsxhvN1q49+n1699aqtZlawhKiAQQFoRVATMiMMbDFi5tFcvDUSSdp9ThzH+Oii8zGjjVbvNjsww/Nli0za9v26PfR6erUSSNrM/dYACA1CK0AYkZGj4E9tjxg0SKzBg28Vcpq1cymTNFjmo0fn7LPt2aNFwQLF/bCaatWZitXJl0ecPPNZq1bmz3+uFnJkmaFCpk98oiZBnnde69ZkSJmZcqYvfFGyr8mTaE97zyz8uXNzj/f7P77zebONUu8h23IELMePcwqVkz55wWAzEZoBRBzMmMMrEpkFSC18jpvntlrr5n17Zvyj9+921vl1GrqzJnqOevdv+QSs/37k/44zVDQ5Xt9zHPPecG2ZUsv+Oo4unf3bqtWpf5r2rLF7N13vfCaI0fqPx4AIonQCiAmafLV/fff76ZpqUxg06ZN1qZNG+vXr1+aPt+kSd6l9BEjNKXLW3EdMCDlH//ee2ZZs5oNG2Z21llmanDw5ptmf/1lNn160h+n1VStfFap4l2y10sF4AcfNKtUyeyBB8xy5jSbMyflx3LffWb58nmrvXr8jz9O+ccCgF8IrQDiagzsp59+mqbPoxrQsmXNTj75yNvq1k35x//wg9nSpWb583srrLopkO7d64XhpFSv7oXdMJUJKPSGZcvmhc/UVD+otODHH70gro+/6SavjhUAgiy73wcAAJktV65c9uSTT1rLli3t6aefTtPnUKhT/Wp6ygu0I1+X44+34Sspx1621zEc722p6fBVrJh3q1zZW/FVGFdda/36Kf8cABBphFYAcaNBgwZWs2bNNH3sGWd4l9I3bPBWO8MtsVJKD6sZCCVKmBUoYIERXmHdt8/vIwGAE6M8AEBcUTustGjWzOy008w6djT7+WevhjS8ESslK7DXX++tbqpjwKxZZitWmM2Y4fVEXb3aIuLbb81eeMFswQIztbCdNs2sQwfv60q8yqoyBr3P+vVme/Z493U70YYxAMhsrLQCiGlqe7Vu3Tp3W7t2rR06dMhuuOGGVH8e1X6qtVWXLmZ16njtoJ55xuyKK7wWWMlRVlYHAG2CatNGx6XesmZNm0Zu5TVPHrOPPjLTXrRdu7zhAupeoE1iGiQQpq9RgTrs3HO9lwraagMGAH7IEkpr120A8Il+bW3bts2F0HAgDYfSY1/fpXSWiMa8zp8/P0OOQ6ut6iKglUmtVqaXOgFoFVbtsAAAR2OlFUCgwujmzZtPGELD9/dq230KnXTSSVaqVCk75ZRT3NCBtFKbV+36V6spBVVd2r/ggvQHVi0dLF/ujXANr2oCAI5GaAWQ6XRJXn1Sk1sVXb9+vR1IPJopGYUKFXJBVLdwKD3e6wqtGUGX9P/zH6+Rv+pTL77Y7NlnvX/T1CrdjqdhQ7MJE5L+vNu2eRO2VHag/qtplZ5jAICgozwAQJodPHjQNmzYkOyqqN5HwTWlihYtesIQGr7lUZFmQGi6lG7Ho8NU/Wo8HAMAZBZCK4B/2bdvn1v1TG5lVKunKS2LV2P/EiVKJLsyevLJJ1tOjXjKJMuWLbPTMqIAFQAQUZQHAHFkz549ya6K6qa60tSMS1XQTG5VtGTJkpY9u7+/chYtWmS9evWyyZMn+3ocAIDUI7QCMdbW6UShVDvuUypHjhwpqhctVqyYC65B98cff1iTJk1cwAYARB9CKxDwtk4pWRnduXNnij9v7ty5k60X1etFihRxl/RjgUoCLrroIneuGmpHEgAg6lDTCvjc1ulEoTS1bZ1SsjJasGDBmAmjKbFy5Upr1KiR/fXXX1atWjWbNWuWC+QAgOjCSiuQQQ4fPuw2Jh0bQI8NpdrgtD8V8zAVMlOykz5//vx8L4+hoKoVVr2sUqWKTZ06lcAKAFGK0Aqkoq3TiVZF09LWKblV0aC1dYomq1evdoFVK62VKlWyr7766rj1rCqtuPDCC939OXPm/Ot86987dOjgPl/z5s3tiSeeiMhK9ZYtW+z77793tx9++MFWaIZqIlmzZrUzzjjD6tSpY7Vq1XKTvvLly5fpxwUAfqE8AHFLq51a9UyuXnTjxo1pbuuUVCjVTvpciYe9I0Ppe9i4cWO3+apixYo2Y8YMK1OmzHHfd/ny5a4FVt68ef818jVs3rx5dsEFF7gnJW+99ZZ17Ngx4t8x/SxOnz7d3aZNm+a+tsS0Ga527douqOtrb9CgASEWQEwhtCJm2zoltzKa2rZOCprJrYwGoa1TvNOKt0Kb2luVL1/eBVa9TMq3335r9erVs3Llytmff/6Z5Ps9/vjj1rdvXxcEFyxYYKeffrr5SSu/iUOswndi+jmsW7duQog9//zzXTAHgGhFaEXU0GXalOyk/+eff9LU1ulEK6PR0tYp3mlVXCFt4cKFVrZsWRdYTz311BN+zBdffGGXX3651axZ012GT4pWWZs2beo+p1Y0VUqQmUMQUkt1uwqv4ZteT0zHqnAeDrH169d3nSQAIFoQWhGYtk7HC6CJ35batk4pqRdVXWk87aSPZX///bfrw/rLL79Y6dKlXbhMyeSrESNGuMv9qledOHHiCd931apVds4559jWrVvt/vvvd/WtQaUaWIXX8EqsVmYTU3mKgqsCrIKsAi0lKwCCjNCKTAuj2kiS3Kqobrqcn1K6NJs4eCYVSuOtrVO808+aVkF12V7ffwW1ypUrp+hjn3vuObv77rvdZqt333032ff/8MMPrW3btu7nS90IFPii4f+jetUmDrH6v5eYNqCphCAcYrXBK0gryQBAaEWa2jolVy+alrZOKVkZpa0TjqVykIsvvthd2tcmOK2wald9Sj344INuxfSOO+6w559/PkUf061bN3v99dfdiu5PP/3kVuyjiULskiVLjgqxKq1ITPWv2swVDrEqiaBeG4CfAh1aGzc2q1HDbPBgswoVzPr08W6R0L+/2fjxZgsWWFy2dUoqlCqMpqWt04lWRtWGiA0iSAuVluiyvjZTqe5YAax69eqp+hzhAProo4/aww8/nKKPUZcBtZlavHixXXXVVW71NZpX9vVn4Pfff08Isbqp3OLY4RWaJhYOsWqxRYgFEElRE1o3bdKlYT37j8xjq3xy3z6Frsx7DAXxYzcr33ef2ZNPHnldeyl69DD76itdvjPr0MFs4EBtqkhdW6fkNjCltq1T8eLFk10VVRilRg6ZZceOHdaiRQv75ptv3MAABa6zzz471Z9HoXP8+PH20ksv2W233Zbij/vxxx9dHeiBAwfs1VdfdeE3lq6o/PbbbwkhVqvXKsFIrECBAq6/bTjEqtaXzYoAMlPUhNZYpNDaubNZ165H3nbSSd5NtKCpr794cbNnnzVThya1h2zTxmzo0OQ/vzal6I9OWto6nehSvS7Batc94BetdF566aVuJGuhQoXc4ACt/KWFVg9nz55tY8eOtWuuuSZVHxuuh1U9qMoTqlatarFIIfbnn39OKCVQiNUqd2L6PmhcbjjEnnXWWW4AAgBYvJcHLFpk1qWL2fffm1WsaDZkiFmzZmbjxpm1bp38516zxuyuu8wmTdJkGbMGDcxUzqbHOV55wM03q3bOrG5d7/20CnvnnWZ9+5o98IDZ8OHeKvCjj5p16pSyry+5kocJE8xattSOZbNSpby3vfeedywqPytQ4MSfXy18tBqkgKlVz+RWRrV6ykoJgm737t2uRZUClGqhp0yZ4uot00pBUz1dFXxTu6lKYU7hedKkSW6lUUMI4uHqgkqEtOktHGJnzpzpVr6PLQ1KHGJVthHNJRQA/BeVXdAPH/aCablymlSjy4Rmd9+d8o/fvdtMf5saNjSbOVNNuM0ee8zskkvMfv456UvvukSvoTr6mDlzvFXSb74x0wRIHceYMWbdu3vhuWzZlB3LU0+Z/fe/3vtrkefee488vj73mWceCazSooUXmNVOMrm/r2PGjLHChQu7S6eseCAWqNNEq1atXFjSpjy1qEpPYJVw7aZqYlNL/6/efvttV5agDVkPPPCAW32NdXpyq5pe3bTSrJr4+fPnJ4RYrYBreMdHH33kbqInxQqxCrC6abMcIRZAqoQCrFGjUKh3b+9++fKh0KBB3v0JE0Kh7NlDoXXrjrzv5MlaMQ6Fxo1L/vMOHx4KVakSCh0+fORt+/aFQnnyhEITJ3qv9+sXCp1zzpF/79jRO4ZDh468TZ+jYcMjrx88GArlyxcKjR6dsq/vuedCoenTQ6GffgqFXn89FCpWLBTq3PnIv3ftGgo1a/bvj8uZMxQaNSpljwHEij179oRatGihK0Ohk046KTRnzpx0f86DBw+GsmbN6j7nusS/UFLp008/dZ9Dtwn6BRXn9u/fH/r6669Djz/+eKhZs2ahPHnyJJyf8K1kyZKh6667LvTKK6+EFi9eHDqc+BcyABxHVK60Ll7srUyefPKRt+myfUpplXLpUrP8+Y9++969ZsuWJf1x2pScuESrZElvJTRMA5O0ceuYzjFJUnlBmPaPFC5s1ratt/oa3gB2vKtpiudcZUM82bdvn+uNqpVVdZrQFCv1FM2Idlm6xC/paVvVsmVL69mzp73wwgtuUIHqP1UfHq9UkqTBBbpp9VkbQtXhIbwS+/XXX7tuJboapJuoXClcSqBbxYoVWYkFcJSoDK3pDW36G1Wrltnx+ohr01NSjt17pGM43tv+9zcw1c47z3upQK2/nwrlKjtIbOtWswMHvMAMxAPtzr/uuuvs888/dxuePvvsM7d5KiOESwNUG5vezYVPP/20C2W//vqr3XLLLe54ufzt0ZAC9XzV7aGHHrK9e/e6+t9wiFUHCHUzGTVqlLuJxvAmDrEVwhsOAMStqNzaqb7hagW1YcORt333Xco/vmZNsz/+MCtRwuz004++FSxovvnxR+/lKad4L+vXN/v1V7PEg2u0cUz7PBS6gXgIrO3bt7ePP/7YbXD65JNPMnQCVXrqWY+lQD169Gh3nBMmTLChKWnxEac0Zln1rf369XPBVSvemi6mPrkKtnoCoZG5I0eOtE6dOtmpp57qbnoyoLG7+jcA8ScqQ6s2OmmkuNo/aeOUNkVpF7+kZAX2+uv1R8qsVSuzWbM0o9tsxgyz3r3NjhnPnWm0yWrQIK87gR5/7FizW281u/JKb4OZNG9uVq2a2Y03eoF26lSze+7xWmQl1zkAiHba3HPjjTe6xv1aqVMvVU2+ykgZGVrlzDPPtGfVn860qfJeVyaAlAV+tejTgAdt4tq6datNnjzZTStTiYGGGKxcudLeeustV35Rrlw5O/30061Lly5u9K5WaQHEvqgsD1DtqNpRqeVVnTpey6tnnjG74go9g0/+49WaSh0A1MhfPU/VfaB0abOmTSMXBrVaqlKuRx7xugGUL++F0f/85+iv8/PPzW6/3eyCC44eLgDEekslhRPVO2rVTcH1ErX3yGAZHVrl9ttvty+//NKVMWiV+Pvvv3ehDCmXL18+9wQl/CRl586dNmfOHFdKoJvO6bJly9xtuPoNmlnlypUTygn0Um3+AMSWQPdpTQ2ttqrXqupBtQqbXuq9qlXY2bMz4ugApJQ2RumSsFpJaYXtgw8+cG2uMsNTTz1l999/vwvIWsXLKJs2bXJtsDSNTiH2xRdfzLDPDbPt27e7gRDhEKt+1OENdWFqqRWuh1WIVcstANEtKldaRUMENDmqUiUvqOrSvlYj0xtYFeGXL/cuxadxwA6ANFLw0DhUBVb1An3vvfcyLbBm1kqrKCCp9rJ58+ZuPKzGzV6p2h9kCI2Qveyyy9xNVBOrsoJwiFXPXA2M0O3ll19276PhBuEQq3ra9HSLAOCPqKxpFV3S12VzbcrShCiVCXz8sfdvjz9+ZBzqsbdLLz3x59VkQtWRqsH/gw+m/fjScwxAPNJFH61K6nKvmvarVvHqq6/O1MfMrNAqzZo1s3tUhG6akteJustMpBGyV1xxhRvsoFVXfV/HjRtnd9xxhxsnK7/99ptrSaafKX2/NcGsT58+bpOfamgBBF/MlAcktmWLdzselZapfjUejgGIFvo11KtXL3cZXW2itGv8eu2YzGQKOqo9ff31192mnoym/qTaSKRpUU2bNnXjXplOF3kq19Co2fBK7MKFC4/6d/3M1ahRI2ElVi3V1AYNQLDEZGgFED30K+iuu+6ywYMHu/Dw5ptvuhrTSFCgnDt3rluVa63Z0Jlg8eLFVrNmTdu9e7fr5aquAvCXBhvMmDEjIcTqe5SYnljoexYOsWrDpbHBAPxFaAXga2C977777Bm1/zCzYcOGWefOnSP2+GqbpB3oqodUMMksKnnQSq42lqmRfu3atTPtsZB669atSxh0oNtSbZRIRPXV+p6FQ+wFF1zgOhwAiCxCKwDfAmvfvn3tiSeecK9rw0z37t0jXgu5bds2+/33391u88z8Wq+99lrXCaFSpUquXOAkFbgjkFavXn1UiF2hZtqJ6MlH3bp1E0KsVuw1XhhA5iK0AvCFpiGpmbxoelTPnj0jPm1LQwvCNY+ZsRkrMW32URssBSJtzAr3F0Xw/fnnn0eF2L80kjER/RzVq1cvIcSed955buoXgIxFaAUQcY899pgb2SmDBg1yu7gjTT1UTznlFFe/qA1TugSc2VRHqVCjlVcNTtDqK6KLvneazhUOsLqtWbPmqPfRKF+tvoZDrFZl9TYA6UNoBRBR4Yb+4ufGpF9//dW1Q9IKq1ZaI+Whhx6yAQMGuN3p6idaXuPwENUhVnXRiUOsnhAlpolo559/fkKIVX1seJUfQMoRWgFEjPpo3n333e6+gptmy/tFl3sVIFTLqprWSJYlqKXSvHnz3OYvHUckVnkRuRC7ZMmShACr7+/GjRuPeh/Vv+p7H57WpRCrOlkAJ0ZoBRARQ4YMsd4aXWdm/fv3dzWtftKmqGuuucaFB3UPiKTly5e7vqA7duxwdb3hUgnEZojVk6LEIXbz5s1HvY825emJTHgl9txzz+WJDHAchFYAmU6jTHv06JFweVxBTT1Z/fTKK6/Ybbfd5vqzqk9rpL3zzjt24403unCi0KwaSMTHqGJN5wqHWNU5HzuRS2NqL7zwwoSVWE3vYjUeILQCyGSvvfaa3Xrrre6+erKqxZXfgTXxZjD1T9VELD/ccMMNblxthQoVbMGCBUxhitMQ+/PPPyeEWE3uUhu2Y1uzNWrUKCHEqhabyWqIR6y0Asg0mm6l9k6iqVcDBw4MRGAVdSx4/vnn3aawcK/YSFM40aVg9QHV2FqtviK+HTp0yD2BCYdYrcKrjCSxokWLHhViq1evHpj/V0BmIrQCyBQjR45041hV03fHHXckjGkNivAqp4J0eHOYHzQhS/WMCis6ZzouIOzgwYNuGEU4xM6ePdt27dp11AkqXry4C6/hEKvNhUH6vwZkFEIrgAw3atQoV6+pS5+qG33xxRcD90f0kksusYkTJ9pbb73lwnUQShU03/7HH3+00047zdfjQXCp+8T333+fEGLnzJlje/bsOep9Tj755KNCrKawBe3/H5AWhFYAGer999+3du3aucDatWtXt+EpiPV3ajP0ww8/2GeffWaXX365r8eiVVYFDF0K1mQlvcyRI4evx4TooMEY3377bUJngq+//tr27t171PuUKlUqIcDqZcWKFQmxiEqEVgAZRrvw1UZKIeyWW26xYcOGBTKwijY/aTzn3LlzXVD0m0aDapf4P//8Y3379nWrr0BqKbCqB3A4xKr8RME2sbJlyya011KQ1f8FIBoQWgFkiE8++cSuvvpqV4On0gBtwgpymx71xlRt4NKlSwNzOT7cO1aXchU6tNkGSA+VDii4hkOsAq1KDBJTaE28EqtQCwQRoRVAun3xxReu36n+GKo0QLvggxxY9YdcU4lEK5saqRoUnTt3tjfeeMPKlCnjxrwWKVLE70NCDNETNZUQhEPsd999555oJqYncYlDrMoLgCAgtAJIl0mTJtmVV15p+/btc6uE2oQV9JGUq1atsnLlyrnj1KXTIG1S2blzp9WsWdP++OMPa9OmjVt9DdLxIbbo500dCcIhVpu8VI+eWOXKlRNCrG7a6AX4gdAKIM2mTp1qLVu2dHV0V111lY0ZMyYqNhBph76Cof74rlu3zoJGG8Q0IUsr1xp8oAEIQCRs377dbQQMh1i121LbusSqVq16VIhVyy0gEgitANJE4ycvvfRSd6n9iiuucCuCOXPmjIqzOXnyZGvevLmbLKRpREH0zDPP2H/+8x9XxqAQq96bQKSpfEZTusIhViUrx4bYM888MyHEqg5bww+AzEBoBZBqupyoPqeqj1NwVdeAXLlyRc2ZHD16tHXo0MH9of3qq68siHSJVsFaq9mamqXNNNF0jhGbtmzZ4p6wKsAqyP7yyy9H/btKWc4+++yEetgLL7zQChcu7NvxIrYQWgGkisKTwpRq4Zo1a+a6BuTOnTuqzuLQoUPdlC7V4I4dO9aCau3atS4AbN682U3t0vQuIEg2bdp0VIhduHDhv0KsnnSFQ6ymvwVp4yOiC6EVQIqpibmCquremjRp4hrz58mTJ+rOYL9+/ezRRx9107peeuklCzI9KWjVqlXCpjedfyCoNmzY4AJsOMQuXrz4qH9X3+ZatWolhNgGDRq4SXBAShBaAaSINmQ0bdrU1bjpkp/aXOXLly8qz16PHj1cWNXoVIXXaDlebRxTDS4bXxAtdLUgcYhVX+TE1BqvTp06CSH2ggsuiNrfK8h8hFYAyVqwYIFbWd26dav7o/Lll1+65vzR6rrrrnNlAc8//7wrEwg6bXbT2FldelW3Bq2+0gYL0Wj16tUJAVa3FStWHPXv6j5St27dhBB7/vnnR+XVHGQOQiuAE9JGC/3xUF3leeedZxMnTrQCBQpE9VnTirE2YL377rtuQ1Y00Aqr/pirH+4LL7zgVl+BaKdRyuHOBHqpccaJqSOJfu+EQ6zuR1sNPTIOoRVAkrSypz8W2myhS3hqFRULmyjOOeccFwIVwLWpLFqEN5Cpi4CawKvVEBAr1EpLK6+JQ+yaNWuOeh/97Gv1NRxi9USOrhrxg9AK4Li0gUI9F7WxQo34p0yZEjOta0qXLu1q7dT/VF9bNP1RV3mA6okVWLUxjkuniFX6eVcNbOJygvXr1x/1Pvr5V4hVgNVNT66DOOCkcWOzGjXMBg82q1DBrE8f7xYJ/fubjR+vMi+LeoRWAP+iEaIKrJoWpVVJ9QqNlYbh+kOoy4sa36pLkxrnGk02btzo2mDpyUTPnj3d6isQD/R/V0+mwyFWL/X/ITFt4lLdfTjEqlNBEMZKJw6tmzbpOM3y5o3MY+/cabZvn1kkfoXrcerVM/vpJ00e9L5m0etPPqke32Z//+0F9+7dzXr3Tt3nJ7QCOMry5ctdYNWGierVq7s/DrG0W33Hjh0JNbkajqCJU9FGZQ0a7iCffvqpW30F4jHEqoQpcYhV7X1i2jCq3rDhEKuesepY4GdojWW9e2vRw2zChKND6xtveCu9V19tVras2ddfm3XrZvb002Y9e6biAUIA8D8rVqwIlStXTjMaQ1WrVg2tX78+5s7N8uXL3deXJ0+eUDS788473ddRrFix0Nq1a/0+HMB3hw4dCv3000+h559/PtS6detQ4cKF3f+RxLcCBQqEWrZsGXr22WdD8+fPdx8TCY0ahUK9e3v3y5cPhQYNOvJvv/8eCl1wQSiUK1coVLVqKDR5subkhkLjxqXsc69eHQpde20oVKhQKFSkSCh05ZX6XX7k3/v1C4XOOefI6x07hkKtWoVCAwaEQiVKhEIFC4ZC/fuHQgcOhEL33BMKFS4cCpUuHQoNH566r/GLL0KhM84IhX77zTv+H3888fvffnsodNFFqXsM/9fMAQTCqlWrXFsr7d6tXLmyKwkoWbKkxRptKpNixYpZNHviiSdcBwTNgu/YsaNrQ6bG7UC80s+/Smd004ZFjULWhstwPezMmTNt27ZtbiiKbqI6ffWdDq/EqlY8kv+PDh82a93aTFVK8+bpSpDZ3Xen/ON37za76CKzhg3NZs40UyXEY4+Z6ULMzz+r+8LxP07Tq8uU8T5mzhyzzp017dDswgu94xgzxrt8r1kmWhlNzoYNZl27erWzKb14tW2bWZEiljqpy7gAYtHq1atDp512mluJ0Eu9Hqs+//xz93Wee+65oWi3cOFCt2Ksr2fgwIF+Hw4QaAcPHgx9//33oWeeeSZ02WWXhfLnz/+vldiiRYuG2rRpExo6dGjo119/DR0+fDhTV1onTAiFsmcPhdatO/K+qVlpHT48FKpSJRRKfJj79oVCupA0cWLSK606hsSLzPocDRseef3gwVAoX75QaPTo5I9Bj33JJaHQf//rva5V3uRWWr/+OhTKkSMUmjQplCo8LQfinDZbaYVh2bJlduqpp7oVCe2uj1V/axeAWUzU6VatWtUG/69I7oEHHnBTywAcn2pZtTHrnnvusc8//9y2bNlic+fOtSeffNJatGjhNnGpJvajjz6yXr16uVVXXW269tpr7eWXX7ZFixa5OtqMpCm3Wsk8+eQjb6tbN+Uf/8MPZhoypkm4mveim1Yv9+41W7Ys6Y+rXl0r00de10W1s8468rrKfrVx65h9bselvaDbt+t3UMqO+bffzDSZ+v/+z1vJTQ3KA4A4ph3oKglQt4Dy5cu7wFo2JdeCYiC0Rnt5QFjXrl1dacC4ceOsffv2LrgyBhNInroK1KtXz93uu+8+O3DggOt/HC4nmDNnjisnev/9991NNEo53CNWt9NPPz1d0+mUgdPx4abyglq1zN5999//dqLn5cd2BdMxHO9t+vzJUanB3LnqoXv022vXNrv+erO33z7ytoULzZo08UoJHnrIUo3QCsQp/TLWZCitHpQpU8bVRyq4xrpYC636g/n666+7nq1LliyxPn36uNcBpI76u9avX9/dHnzwQTd97rvvvksIsV9//bXrE/vee++5m+iqlEJs27ZtrbWKU1PpjDPMNARMNaHhLQTffZfyj69Z06s/LVHCzK9BhUOGeHW0YWvXmrVo4R2X2l8lXmFVYO3Y0WzAgLQ9FuUBQBzSJbCLL77YfvvtNytVqpT7hVyxYkWLB7EWWkU9dEeOHOkC7LBhw+zDDz/0+5CAqKdJWw0aNLCHH37YPan/559/XFutfv36uc1bGjGriV0aB/3oo4+m6TF0efy007wgp41T2hTVt6/3bylZgb3+ev0u8y63z5pltmKF2YwZXuup1astIrSJTMP5wrfKlb236+vSZq9wYNWGMX29d91lphkRuv1vX2yKEVqBOLN161Zr1qyZ21WrS136ZaxLXPEiFkOr6FLl/fffn1AyoG4QADKOhpKoh3X//v1txowZLsSqy8pDDz1kNcINSVNJtaPaca8BAHXqmHXpcuSyee7cyX983rxeBwAFxzZtVOdu1qmT2Z49/q28Ho+qKxRQVcZwyilHbvqaU4PhAkAc0S9ZBVbVbZUoUcKtsFarVs3iiVZIZs2aZWPHjrVrrrnGYolq8jQNSJc09cdVf1D9aKQOIO202tqggbfBSquV6fXAA94qrKZRRTtWWoE4sX37djdFSYFVq4wKNPEWWGN5pTVckzdq1Cg3BUgrQU899ZTfhwQgGePGmU2ebLZypdmUKd6kqAsuSH9gDYW8DgJTp3rdAmIBoRWIAzt37rTLLrvM5s2bZ0WKFLEpU6a4di7xKJZDq6jU48UXX3T3/+///s99zwEElwYK3H67tynr5pu9S+Yff+z92+OPH2llddIxt0svTb55v9YlNGDgwQfTfnzpOYaMRnkAEON27drlAqumwRQqVMitsNbUltM4pAk5Wo3Uy7Vr19opKqqKQeolef3119vo0aPdBrsff/zRCgSpwA1AimzZ4t2OJ08edS+Ij2MII7QCMWz37t3WsmVLV7uq0KIV1jqprXyPIWomrp32onY22v0bqzSu8pxzzrE///zTbrzxRhsxYoTfhwQA6UJ5ABCj9u7d6/oGKrDmz5/fJk6cGNeBNXFpgAJ8LAdWKViwoGvFoznqaoel+wAQzQitQAzSKuJVV11lkydPdtORJkyYYOedd57Fu1ivZz2WOgmorlVuu+02W758ud+HBABpRmgFYsz+/fvddBaN9syTJ4+bsa3wgvgLrdK3b1/3/d+xY4ercz148KDfhwQAaUJoBWKsT+d1111nn332mWuErZfq14n4Da2ar67SAJULzJ07N82TewDAb4RWIEZoBa1Dhw42fvx4N37w448/tiYa9IwEm/43MzCeQquUL1/eXnnlFXd/wIABrpMEAEQbQisQI4FVO8Q/+OADt8Fo3Lhx1rx5c78PK7ArrcWLF7d4065dO7v55ptdu68bbrjBjfMFgGhCaAWi3KFDh+yWW26x9957z/UgVXC9NNIdn6NEPJYHJDZkyBA3fGDVqlXWvXt3188VAKIFoRWIYlo169Kli73zzjtuxvyYMWPsiiuu8PuwAiveQ6tan2nMq+pcx44da2+99ZbfhwQAKUZoBaI4sN56660ueCiwavqR2lwhafEeWkW9eh977DF3v1evXrZkyRK/DwkAUoTQCkQhXdbt2bOnDRs2LKF5/DXXXOP3YQUeodVz7733uk16GvGrzXtqkwYAQUdoBaIwsPbu3dtefvlly5Ili7399tvWvn17vw8rKhBaPXqio7GuRYoUsR9++MEefvhhn78zAJA8QisQZYH17rvvtqFDh7rXhw8f7naCI2U9bP/55x+L9/KAsNKlS7ufH3n66adtypQpfh8SAJwQoRWIosB6//3326BBg9zrr732musagJTZsmWLe6nV6cKFC3PazKx169auLlpuuummhJVoAAgiQisQJYFVl3C1IiYvvfSSde3a1e/DiirhQKZL4tq4Bs9zzz1nZ5xxhq1bt846d+5MGywAgUVoBaKARm9qklG41+Ztt93m9yFFHepZjy9v3ryu84SGUnzyyScJk7MAIGgIrUDAKaz279/f3X/22WddmyKkHqE1aTVq1LCnnnrK3b/rrrvst99+40cMQOAQWoEAUznAQw895O4/+eSTLlAgbQitJ3bHHXfYJZdcYnv37nXdKPQSAIKE0AoElDZc3Xfffe6+msGH7yNtCK3Jt8HSoIoSJUrYL7/8ws8bgMAhtAIBpJZW4VXVfv36Wd++ff0+pKhHaE1eyZIl7c0330yonf7iiy8y/fsCAClFaAUCRhthdKlWHnzwQRdakX6bNm1yL4sXL87pPIHLLrvMDa8QtVTbsGED5wtAIBBagQDRWNZwZwCN2lRZgPqKIv1YaU051U+fffbZtnHjRrv55pvt8OHD/AgC8B2hFQgI1RN269bN3e/Tp4/bzU1gzTiE1pTLnTu3a4Oll19++aUrFQAAvxFagQB45513rFOnTq6xe8+ePV3DdwJrxiK0pk61atUSpq9pE+CCBQsy+DsCAKlDaAV89t5771nHjh1dYO3evbtb1SKwZjxCa+ppxGurVq1s//79rg3W7t27M+E7AwApQ2gFfPTBBx/YDTfc4GoGu3TpYi+++CKBNRPs2bPHdu3a5e4XK1YsMx4iJunJk+qsS5UqZYsWLaJPMABfEVoBn4wfP96tXh06dMittL766quuVyYy3ubNm93L7NmzW4ECBTjFqaCQP2LECBdg9TM6btw4zh8AX/AXEvDBZ599Ztdee60dPHjQrr/+ehs+fDiBNUKlAZRepF7Tpk1dNwvRFYHVq1dn8HcIAJJHaAUiTLuxr776ajtw4IC1a9fOdQ3Ili0b34dMRD1r+v33v/+1WrVq2ZYtW+ymm25yVwgAIJIIrUAETZ482Vq3bu02tii4jhw50l2yRuYitKZfzpw5bdSoUZYvXz6bNm2aPfPMMxnwWQEg5QitQIR89dVXduWVV9q+ffvcjmz1wSSwRgahNWNUrlzZjRiWhx9+2L799tsM+swAkDxCKxABM2fOtCuuuML27t1rl19+uY0ZM8Zy5MjBuY8QQmvG0YSscD12hw4dbMeOHRn42QEgaYRWIJPNmTPHzXNXj8tLLrnEtbnKlSsX5z2CCK0ZRxvZXnnlFStXrpwtW7bMevXqlYGfHQCSRmgFMtHcuXPt0ksvdT1CL774Yvvoo4/caExEFqE1YxUuXNhNcVOLtrffftsNyACAzEZoBTLJd999Zy1atHCXTy+66CL7+OOPLU+ePJxvHxBaM17Dhg3toYcecvc1yW3lypWZ8CgAcAShFcgE8+fPt+bNm9v27dvdH/dPP/3U8ubNy7n2yaZNm9zL4sWL8z3IQNqMVb9+fdu2bZub7KY6VwDILIRWIIP99NNP1qxZM/vnn3/s/PPPt88//9y1CYJ/WGnNHOp+8e6777opY6rdHjBgQCY9EgAQWoEM9euvv7raVTVgr1evnk2YMMHy58/PWfZRKBQitGaiU0891W3MkkcffdSFVwDIDKy0Ahnk999/d+MutapXu3ZtN/mKOff+27lzpxvmEB7jiozXvn17NyXr8OHDbiyxrjIAQEYjtAIZYPHixdakSRPbuHGj1ahRwyZOnGiFChXi3AaoNECb4KgrzjwvvPCCVaxY0f7880+3MUsr3ACQkQitQDotXbrUBdb169fb2WefbVOmTLEiRYpwXgOCetbIUBmMxrxmy5bNDc8YMWJEhB4ZQLwgtALpsGLFChdY165da9WrV3eBtWjRopzTACG0Ro7quFXXKj169HBP6AAgoxBagTTSZVD1X121apWdccYZNnXqVFoqBRChNbLuu+8+a9SokRuooVrXcD0xAKQXoRVIAwVVBVYF10qVKtlXX31lJUuW5FwGEKE1slQeMHLkSDc16/vvv7d+/fpF+AgAxCpCK5BKa9ascSUBKg3QxhMF1lNOOYXzGFCE1sgrW7asvf766+7+U0895f6PAEB6EVqBVNBmKwVW1epVqFDBpk2bZmXKlOEcBhih1R9XX321de3a1XURuPHGG23z5s0+HQmAWEFoBVJI7awUWJcsWWLlypVzgVUvEWyEVv8MGjTIqlSp4jYqhgMsAKQVoRVIYfDR4AANEChdurS73KmVVgQfodU/Gl88evRoy5Ejh40bNy6hZAAA0oLQCiRDI1k1mlUjWlW7qhXW0047jfMWJQit/jr33HPtySefdPf79OnjnvgBQFoQWoET2Lp1qzVr1sx++ukn1x1AK6zqFoDoC63Fixf3+1DilsJq8+bNbc+ePa4N1r59+/w+JABRiNAKJGHbtm3WokULmz9/vgs8Cqzqx4rocfjw4YQNQMWKFfP7cOJW1qxZ7e2333b/j/QE8IEHHvD7kABEIUIrcBzbt2+3Sy65xL777js34UqDA6pVq8a5ijL//POPHTp0yN1nUpm/Tj75ZHvzzTcTNmh9+eWXPh8RgGhDaAWOsXPnTrvsssts7ty5rkG6RrOeddZZnKcoLg0oUKCA5cyZ0+/DiXuXX3659ezZ052Hjh072oYNG+L+nABIOUIrkIhGT7Zs2dLmzJljBQsWtMmTJ1uNGjU4R1GKTVjB8/TTT9uZZ57pWsjdcssttMECkGKEVuB/tEnkyiuvtBkzZriVuUmTJlmtWrU4P1GM0Bo8efLkcW2wcuXKZRMmTLChQ4f6fUgAogShFTCzvXv3WuvWrd1mq5NOOsnV29WtW5dzE+UIrcGkldZnn33W3b/33nvt559/9vuQAEQBQivintrvtGnTxq2s5s2b17744gurX79+3J+XWEBoDa7bb7/dleLs37/ftcHavXu334cEIOAIrYhr+oN5zTXXuMuUumz5+eefW8OGDf0+LGQQQmtwZcmSxd544w3XVWDhwoV2zz33+H1IAAKO0Iq4deDAAWvXrp19+umnljt3bveycePGfh8WMhChNdjUt3XEiBHu/ssvv2wff/yx34cEIMAIrYhLBw8etOuvv97NQ1crpPHjx1vTpk39PixkMEJr8GniXHiVtXPnzrZ27Vq/DwlAQBFaEXfUbP6mm26y999/33LkyOGCqyZfIfYQWqPDgAEDrGbNmm56mf5vapIZAByL0Iq4C6zqDamWO9mzZ7cPPvjADRJAbCK0Rgdd7Rg1apTbCKnpc+HOAgCQGKEVcUOrN127drWRI0datmzZbMyYMa4vK2IXoTV6VKlSxYYMGeLuP/jgg/b999/7fUgAAobQirgJrLfddpubfZ41a1a3qqM2V4jtuuWtW7e6+8WKFfP7cJACnTp1srZt27rvXYcOHdxIZQAII7Qi5oVCIevVq5e99tprLrBqpfXaa6/1+7CQybZs2ZLQWqlIkSKc7yig75X+n5YtW9b++OMP6927t9+HBCBACK2I+cDap08fe+mll9wfRK20agUH8VMaoMCqchBEh8KFC7snluE+rmPHjvX7kAAEBKEVMR1YNSIyXCc3bNgwtzMZ8WHTpk3uJaUB0adRo0aurlW6detmf/75p9+HBCAACK2I2cCqP3rhXcivvvqqq5dD/GATVnTr16+f1atXz7Zt22Y33HCD6/wBIL4RWhGzf/CefPJJd/+FF15wqzWIL4TW6KYeytowmT9/fps9e7Y9/vjjfh8SAJ8RWhFzHn30Ufvvf//r7g8ePNh69Ojh9yHBB4TW6FexYkVXjy6PPPKIff31134fEgAfEVoRU5544gm3yirPPPMMu4/jGKE1Nqg0QCOXVR6glyoXABCfCK2IGQMHDkzYvKHwGp5njvhEaI0dL774op166qm2cuVKu/322/0+HAA+IbQiJqgMQJ0CwuUB999/v9+HBJ8RWmNHwYIF7d1333Wty1Tn+s477/h9SAB8QGhF1NNGqzvvvNPdf/jhh90NILTGlvr161v//v3dfa22Llu2zO9DAhBhhFZENbWy0rQr0eqqNmsAQmiNPQ888IA1bNjQduzY4epbDxw44PchAYggQiui1vDhw6179+7u/t133+1a4miKDiCE1tij8gCVBhQqVMjmzZvHk1QgzmQJqQs7EGXefvttu+WWW9wQAc0nHzRoEIEVCfbu3Wt58uRx97du3epCDmLHBx98YNdcc437Pz9t2jQ3QQtA7GOlFVFHGzLCgVU9WAmsONbmzZvdy+zZs7tNPIgtbdu2tc6dO7vfAWqJtWXLFr8PCUAEEFoRVcaMGWM33XST+2OlKVdDhgxhhRUnLA2gZCR2O4ZUqlTJVq9ebV27dnW/EwDENkIrosaHH37oNl8cPnzYOnXqZC+//LJlzcqPMP6NetbYd9JJJ9no0aPduNePPvrI1bgDiG38xUdU+Pjjj61du3ZuKo5WWl977TUCK5JEaI0PtWrVsgEDBrj7qm1ftGiR34cEIBMRWhF4n332mdt0cfDgQevQoYO98cYbbhcxkJRNmzYllAcgtqlzSNOmTW337t3u98O+ffv8PiQAmYTQikD78ssv7eqrr3b9GK+99lrXNYDAiuSw0ho/VCI0YsQIK1q0qP3444/Wt29fvw8JQCYhtCKwpkyZYq1bt7b9+/dbmzZtXH9G7QYHkkNojS+lSpVyV2Dk2WeftUmTJvl9SAAyAaEVgTR9+nS78sor3aU+vQxvuABSgtAaf/R7QuNdpWPHjgklIgBiB6EVgTNr1iy7/PLLbc+ePXbZZZfZ2LFjLWfOnH4fFqIIoTU+DRw40KpVq2br1693HUZogwXEFkIrAuXrr7+2Sy+91G2qaN68uWtzlStXLr8PC1GG0BqfNAVNV2X0O0MbOF966SW/DwlABiK0IjA0S/ySSy6xXbt2ud3A48ePt9y5c/t9WIhChNb4dfbZZ9szzzyT0Fng119/9fuQAGQQQisC4fvvv7cWLVrYjh073BzxTz75JGF2PJAauiRMaI1vPXv2dKVFqolv3769KzUCEP0IrfCd2tSoFGDbtm3WoEEDd1kvb968fh8WopRW6sO9OunTGp80uvfNN9+0kiVLupXW//znP34fEoAMQGiFr37++We7+OKLbevWrVa/fn374osv3HhGIK3Cq6wqLeHJT/wqUaKE6+ssL7zwgnsyDCC6EVrhm99++83Vrm7ZssXq1q1rEyZMsPz58/MdQbokLg3Qihvil0qO7rzzTnf/lltusXXr1vl9SADSgdAKX2hGuAKrAkbNmjVt4sSJVrBgQb4bSDfqWZHYE088Yeecc477uVD/1sOHD3OCgChFaEXE/fHHH9akSRPbsGGD1ahRwyZPnmyFChXiO4EMDa3FixfnjMK1v1IbLG3s1O+aQYMGcVaAKEVoRUQtW7bMLrroIneZ7qyzznJ/RIoUKcJ3ARmGlVYcq2rVqjZ48GB3/4EHHrD58+dzkoAoRGhFxKxYscIF1jVr1ripNVOmTGF3NzIcoRXH07VrV7vqqqvswIEDrg2WukwAiC6EVkTEX3/95UoCVq1aZVWqVLGpU6e63b1ARgvPnKfdFRLTprzXX3/dSpcubUuWLLE+ffpwgoAoQ2hFplu9erVbYV25cqWdfvrp9tVXX9nJJ5/MmUemYKUVSSlatKiNHDnSBdhhw4a5MdEAogehFZlq7dq1boV1+fLlVrFiRZs2bZqVKlWKs45MQ2jFiegJ9P33359QMqCrPwCiA6EVmWb9+vUusKpbQPny5d0Ka5kyZTjjyFSEViTnkUcesTp16rihJjfeeKMdOnSIkwZEAUIrMsXGjRtdH9bFixdb2bJl3QqrgiuQ2QitSE6OHDls1KhRbvrejBkz7KmnnuKkAVGA0IpMCQ0azbpw4UJXCqAV1lNPPZUzjUynxvGbN29299mIhRNRff2LL77o7v/f//2fzZs3jxMGBByhFRlKI1mbNWtmv/zyi9tspRVW/XEAImHbtm0Jl3q16QY4EZUGqP2VfmY6dOhg27dv54QBAUZoRYb5559/rHnz5rZgwQLXzkqBtXLlypxhRLw0IH/+/G4SEnAi6iLw8ssvW4UKFdxm0Z49e3LCgAAjtCLDVrhatGhhP/zwg7ssq5KAM844g7OLiKKeFalVsGBBe+eddyxr1qyuHda7777LSQQCitCKdNuxY4ddeuml9u2337qRrJp0Vb16dc4sIo7QirS44IILXF2r3HbbbW7VFUDwEFqRLhqFePnll9s333xjhQoVcoH1nHPO4azCF4RWpFXfvn1deNWT8Ouvv94OHjzIyQQChtCKNNu9e7e1bNnSZs2a5S6xTZ482c4991zOKHwPrcWLF+e7gFTJnj27Kw3Q77K5c+fao48+yhkEAobQijTZs2ePXXnllTZ9+nS36WXixIlWu3ZtziZ8xUor0kO9pF955RV3f8CAATZz5kxOKBAghFak2t69e+2qq66yqVOnWr58+WzChAlWr149ziR8R2hFerVr185uvvlm1/P3hhtucFOzAAQDoRWpsm/fPmvbtq1bWc2bN6998cUXrg4MCAJCKzLCkCFDXH/pVatW2a233mqhUIgTCwQAoRUptn//frvuuuvs888/tzx58thnn31mF154IWcQgbFp0yb3kmlYSA+VPGnMq+pc33//fXvrrbc4oUAAEFqRIgcOHLAHH3zQ/vrrL1cKoMEBF110EWcPgcJKKzJKnTp17LHHHnP3e/XqZUuWLOHkAj7LEuK6B4AYoT7BqkFcuHChVa1a1e/DQZRTXavGUmtYSq1atezrr7+2nDlz+n1YQNxipRVATFBfzfCmGcoDkBE0JWvEiBHuyZCm/T388MOcWMBHhFYAMWHLli0J8+QLFy7s9+EgRpQuXdqGDx/u7j/99NNugAoAfxBaAcRUPasCqzbQABmldevW1r17d3f/pptuSvhZAxBZhFYAMYFNWMhMzz77rKuTXrdunXXu3Jk2WIAPCK0AYgKhFZlJfanVBksbsT755JOEyVkAIofQGocaNzbr08e7X6GC2eDBkXvs/v3NatSI3OMhfhBakdlq1KhhTz31lLt/11132W+//cZJByKI0BrnvvvOrFu3yD3ePfeYTZ0amcfat88LyFmymC1YcOTt6hOutx3vtnFjZI4NGY/Qiki444477JJLLnHjrNu3b+9eAogMQmucK15cl70i93gnnWRWtGhkHus//zErVerfb7/uOrN1646+tWhh1qiRWYkSkTk2ZDxCKyLVBksTskqUKGG//PKL3XfffZx4IEIIrXHu2PKARYvMGjQwy53brFo1M3V30Qrk+PEp+3xr1nihUB2HFE5btTJbuTLp8oCbb9bOXLPHHzcrWdKsUCGzRx5Rz02ze+9Vs3izMmXM3ngjdV/XhAlmkyaZDRz473/Lk8fs5JOP3LJlM/vqK7POnVP3GAhmaC2uZ2JAJipZsqS9+eab7v6QIUPcaGsAmY/QigSHD3sBUiuv8+aZvfaaWd++KT9Bu3ebabKrVlNnzjSbPdu7f8klZvv3J/1xCoxr13of89xzXrBt2dILvjoOdZrRbdWqlB3Hhg1mXbuajRyZslXkESO892vbNuVfK4KHlVZE0mWXXWa9e/d292+55RZbv3493wAgkxFakUArk8uWeSHunHO8FdcBA1J+gt57T5fOzIYNMzvrLDNN0dRixF9/mU2fnvTHaTV1yBCzKlXMOnXyXioAP/igWaVKZg88YKbJiXPmJH8MoZC3equQW7t2yo5bq7gdOngrsIhehFZE2pNPPmlnn322bdq0yQVXjX0FkHkIrUiweLFZ2bLeJfOwunVTfoJ++MFs6VKz/Pm9FVbdFEi1T0FhOCnVq3thN0xlAgq9Ybp8r1KDlGySGjrUbPt2L+imxDffmC1cSGlALCC0ItJy585to0ePdi+//PJLVyoAIPMQWnHUKqXqV9NKiwy1ank79RPflizxVjKTkiPH0a/rGI73tpQsYqjUYO5cs1y5zDQU6fTTvbdr1bVjx3+/v1aFVWOr40Z002qXFCtWzO9DQRypVq2aDRo0yN3XpqwFiVuVAMhQhFYkOOMM71K+akITt8RKqZo1zf74w9uBr7CY+FawYGROtBY6fvrpSGD+4gvv7WPG/LvUYedOs7FjWWWNBWo7tFPfUEIrfHDrrbdaq1atbP/+/a4N1m7VNwHIcIRWJGjWzOy007wVyZ9/9mpIwxuxUrICe/31WuXyOgbMmmW2YoXZjBlm2quwenVkTnS5cmZnnnnkVrmy93Z9XepCkJiCrLoU6LgR3TZv3uxeZsuWzQpG6hkS8D9ZsmSxYcOGWalSpWzRokVu8ACAjEdoxVG1o2ptpQWrOnXMunQxe+gh79/UAis52oGvDgAKjm3aeBuxtLFqzx6zAgWCd6KHD/eOU10KEDv1rAoQQKTpZ2/EiBHu5+/VV1+1cePG8U0AMliWUEiVjMDxabVVXQS0wUqrlemlDVJahVU7LCCjTJ061S6++GKrXr26/frrr5xY+EZ1rU8//bQVKVLEfvrpJytz7CUeAGnGSiuOosWByZO9gQAaLKARrxdckP7AqqdG6iCgEa7qFgBkJDoHICj++9//Wq1atWzLli1200032aFDh/w+JCBmEFpxlB07zG6/3duUpX6nKhP4+GPv3zS1KtzK6tjbpZee+ERu2+ZN2FK/VfVfTav0HANiF6EVQZEzZ04bNWqU5cuXz6ZNm2bPPPOM34cExAzKA5BiW7Z4t+NRY/7SpePjGBA8jzzyiPXv39/t4n7llVf8PhzAjXnt1KmTZc+e3ebMmWN1U9P0GsBxZT/+m4F/06AA3eL9GBA8rLQiaG6++WY3cGDs2LHWoUMH+/HHHy2/Jq8ASDPKAwBEPUIrgkZdBLTqX65cOVu2bJn16tXL70MCoh6hFUDMhNbixYv7fShAgsKFC9s777xjWbNmtbffftvee+89zg6QDoRWAFGPlVYEVcOGDe2h/zW87t69u61UaxYAaUJoBRD1CK0Isocfftjq169v27ZtsxtuuMEOahQfgFQjtAKIapqPQmhFkKmDwLvvvmsFChRwnQQGDBjg9yEBUYmWVwCi2q5du+wkNeo1jSDe6fpjAkE0evRo10lANa4zZ860CzS5BUCKsdIKIKqFV1lz585tefPm9ftwgCS1b9/eTck6fPiwXX/99fbPP/9wtoBUILQCiGqbNm1yL4sVK+baDAFB9sILL1jFihXtzz//dBuzVN4CIGUIrQCiGvWsiCYaMKAxr9myZbMxY8bYiBEj/D4kIGoQWgFENUIrok29evXs0Ucfdfd79OhhS5cu9fuQgKhAaAUQ1QitiEb33XefNWrUyG0kVK3r/v37/T4kIPAIrQCiGqEV0UjlASNHjnRTs77//nvr16+f34cEBB6hFUBUI7QiWpUtW9Zef/11d/+pp56yb7/91u9DAgKN0AogqhFaEc2uvvpq69q1q+sioMlZJ9K4sVmfPt79ChXMBg/OuONQ443x4zPu8wGZgdAKIKoRWhHtBg0aZFWqVElo35YS331n1q1bxh3DunVml15qvtiyxaxXL7MqVczUarlcObM77jDbtu3I+0yf7gXr4910LhAfCK0AYiK0Fi9e3O9DAdJEU9w0LUvjXlNKP+4ZOUvj5JPNcuUyX6xd690GDjT75Rezt94y+/JLs86dj7zP+ed7wTrxrUsXb8W5dm1/jhuRR2gFENVYaUUsOPfcc+0OLS+m0LHlAYsWmTVooMlwZtWqmU2ZkrpL/onfd+VK7/WxY80aNjTLk8esTh2zJUu8VU2FRE1OvuQSDfc4+vO88YZZ9epeAD7lFLOePZN/7DPPNPvwQ7MrrjA77TSzJk3MBgww+/RTs4MHvffJmdML1uFb0aJmn3xi1qmTd6yIDyl/WgcAAaM6QEIrYkWHDh3S9HGHD5u1bu1dVp83z2zHDrO7707/8aihgYKxPq/CYfv2ZgUKmD3/vLfKe+21Zv/3f2Yvv+y9v17edZfZk096pQa6vD9nTtoeWx+rx0pq8VmBVRdZbr457V8fog+hFUDU2rZtmx06dMjdL6qlFyCKZc2atoufkyaZLVvm1X1qFVK0UtmsWfqO5557zFq08O737u2F1qlTzS64wHubLt/rUn7YY495YVnvG6YV2tTavNnsv/81u/XWpN9n+HDv2MqWTf3nR/QitAKIWuFVVo3GzOVXQR7gs8WLvfAWDqxSt276P+/ZZx+5X7Kk9/Kss45+28aN3n29VF1q06bpe8zt280uv9wrcUiqde3q1WYTJ3rlC4gv1LQCiFqUBgAqk8mcus4cOY7cD3/+Y9+m0gRR3Wt6qaxBdbKqlx037ujHSuzNN72a1iuvTP9jIroQWgFELUIrYHbGGWZ//WW2YcORsxHpNlD583ubw1Q+kNYV1ubNvQ1XqlfVhrKkArpC6003JR1qEbsoDwAQtcJ9LYsVK+b3oQC+Ue2qdt137Gj29NPeimXfvt6/RXJnff/+Zt27m5Uo4W3E0nFoI5Z6sJ6I3k+Bdfdus3fe8QKsbuHWXtmyHXnfr74yW7Hi6HZYiB+EVgBRi5VWwAt1alelvqXa+FSxotkzz3gtpJJascwMCs1792pYgreJS88l27ZN/uN++MHreiCnn370vymgagU38QYs9WytWjWDDx5RgdAKIGoRWhFP1B0gTL1Ujy0RmD37yOvhVlPHhsDj2bfPe6laUlFI1GX4Y0fIHvs2tZs6tuWUdvyfaNf/8Rzvcydl1KjUfW7EFkIrgKhFaAU82rik0FmpktnSpV7bKbWmUtnAiegy/Ecfqd2WF3yBICO0AohahFbgSF3of/5jtmqVd1n+4ovNnn3W+7fHH/dux6NygoULzZ56yqxMmcw5m+++m/Tqa/nyZr/9ljmPi9iTJaSRMgAQhS644AL7+uuv7cMPP7Q2bdr4fThAIG3Z4t2OR62qSpfO/ECduLNBYuoAoOAKpAQrrQCiFiutQPKKFPFuflE7LN2A9KJPK4CoRWgFgPhBaAUQlQ4ePGhbt25194urmSMAIKYRWgFEJQVWleRnyZLFChcu7PfhAAAyGaEVQFSXBiiwZs9OeT4AxDpCK4CoRD0rAMQXQiuAqERoBYD4QmgFEJUIrQAQXwitAKISoRUA4guhFUBU2rRpk3tZTDMrAQAxj9AKICqx0goA8YXQCiAqEVoBIL4QWgFEJUIrAMQXQiuAqERoBYD4QmgFEJUIrQAQXwitAKLOvn37bMeOHe4+3QMAID4QWgFEnc2bN7uX2bJls0KFCvl9OACACCC0Aojq0oAsWbL4fTgAgAggtAKIOtSzAkD8IbQCiDqEVgCIP4RWAFGH0AoA8YfQCiDqEFoBIP4QWgFEHUIrAMQfQiuAqENoBYD4Q2gFEHU2bdrkXjJYAADiB6EVQNRhpRUA4g+hFUDUIbQCQPwhtAKIKqFQiNAKAHGI0Aogquzevdv27t3r7lPTCgDxg9AKICpLA3LlymX58uXz+3AAABFCaAUQtfWsWbJk8ftwAAARkj1SDwQAGWHfvn127rnnWpUqVTihABBHsoS0qwEAAAAIMMoDAAAAEHiEVgAAAAQeoRUAAACBR2gFAABA4BFaAQAAEHiEVgBRp3Fjsz59vPsVKpgNHhy5x+7f36xGjcg9HgDAQ2gFENW++86sW7fIPd4995hNnRqZx9q3zwvImqGwYMG/v+6mTc0KFTIrXNisefN/vw8AxBJCK4CoVry4Wd68kXu8k04yK1o0Mo/1n/+YlSr177fv2GHWooVZuXJm8+aZzZ5tVqCA97YDByJzbAAQaYRWAFHt2PKARYvMGjQwy53brFo1sylTvJXK8eNT9vnWrDG77jpv9VLhtFUrs5Urky4PuPlms9atzR5/3KxkSW/l85FHzA4eNLv3XrMiRczKlDF7443UfV0TJphNmmQ2cOC//23xYrOtW80efdRMg8GqVzfr189s40azv/5K3eMAQLQgtAKIGYcPewFSK69agXztNbO+fVP+8bt3m110kbeaOnOmt4Kp+5dcYrZ/f9If99VXZmvXeh/z3HNesG3Z0gu+Oo7u3b3bqlUpO44NG8y6djUbOfL4q8gKqsWKmQ0f7h3Xnj3efYXX8uVT/vUCQDQhtAKIGVqZXLbMbMQIs3PO8VZcBwxI+ce/955Z1qxmw4aZnXWWWdWqZm++6a1eTp+e9MdpNXXIEC9MdurkvVQAfvBBs0qVzB54wCxnTrM5c5I/Bg3W1uqtQm7t2sd/n/z5veN55x2zPHm8YD1xotkXX5hlz57yrxcAogmhFUDM0GXzsmXNTj75yNvq1k35x//wg9nSpV4oVBDUTYF0714vDCdFK5wKu2EqE1DoDcuWzSs10OX75AwdarZ9uxd0k6KVVYXjCy4wmzvXC8M6hssu8/4NAGIRz8kBxAytUqp+NT3lBbVqmb377vE3fCUlR46jX9cxHO9t+vzJUamBgmiuXEe/Xauu119v9vbbZqNGeXW233xzJCzrbSpH+Phjs3btkn8cAIg2hFYAMeOMM7xL+aoJ1WpnuDVUStWsaTZmjFmJEt5ufD+ozOCxx468rlpZdQXQcdWr571NpQcKq4kDevj1lARjAIhGlAcAiBnNmpmddppZx45mP//sXTYPb8RKyQqsVjK1wUkdA2bNMluxwmzGDLPevc1Wr7aIUBurM888cqtc2Xu7vi51IQh/neoe0KOH2e+/m/32m9ktt3j1rNpIBgCxiNAKIGaodlStrXbuNKtTx6xLF7OHHvL+TS2wkqOd+uoAoODYpo23EUu1o6oT9WvlNakV5U8/9YJ5/fpmDRt6K7Jffml2yil+Hx0AZI4soZCqwAAgNmm1VV0EtMFKq5XppQ1SWoVVOywAQORQ0wogpowb5+36V6spBVVd2tcu+/QGVj29X77cG+F67rkZdbQAgJSiPABATNGI09tv9y6hq9+pygS0o140tSrcyurY26WXnvjzbtvmTdhSv1X1X02r9BwDAMQzygMAxI0tW7zb8ahJf+nS8XEMABCNCK0AAAAIPMoDAAAAEHiEVgAAAAQeoRUAAACBR2gFAABA4BFaAQAAEHiEVgAAAAQeoRUAAACBR2gFAABA4BFaAQAAEHiEVgAAAAQeoRUAAACBR2gFAABA4BFaAQAAEHiEVgAAAAQeoRUAAACBR2gFAABA4BFaAQAAEHiEVgAAAAQeoRUAAACBR2gFAABA4BFaAQAAEHiEVgAAAAQeoRUAAACBR2gFAABA4BFaAQAAEHiEVgAAAAQeoRUAAACBR2gFAABA4BFaAQAAEHiEVgAAAAQeoRUAAACBR2gFAABA4BFaAQAAYEH3/1fKC89jXknAAAAAAElFTkSuQmCC", - "text/plain": [ - "
" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" + "name": "stdout", + "output_type": "stream", + "text": [ + "lig_ejm_31 – lig_ejm_48: 0.30\n", + "lig_ejm_31 – lig_ejm_47: 0.33\n", + "lig_ejm_31 – lig_ejm_46: 0.37\n", + "lig_ejm_31 – lig_ejm_50: 0.90\n", + "lig_ejm_46 – lig_jmc_28: 0.90\n", + "lig_ejm_42 – lig_ejm_43: 0.90\n", + "lig_ejm_42 – lig_ejm_50: 0.95\n", + "lig_jmc_27 – lig_jmc_28: 0.95\n", + "lig_jmc_23 – lig_jmc_28: 0.95\n" + ] } ], "source": [ - "# Visualize the radial network\n", - "from openfe.utils.atommapping_network_plotting import plot_atommapping_network\n", - "\n", - "plot_atommapping_network(radial_network)" + "for edge in sorted(mst_network.edges, key=lambda edge: edge.annotations[\"score\"]):\n", + " print(f\"{edge.componentA.name} – {edge.componentB.name}: {edge.annotations['score']:.2f}\")" ] }, { @@ -2334,14 +2737,20 @@ "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**" + "Sorting the MST edges by score shows three edges that score much lower than the rest. `lig_ejm_47` and `lig_ejm_48` are each connected only through one of them. Because a minimal spanning tree always includes each ligand's best-scoring edge, this means neither ligand has a high-scoring partner anywhere in the series, so in all three networks they are connected only through lower-scoring edges. Edges like these are worth checking closely once the results are in." + ] + }, + { + "cell_type": "markdown", + "id": "67b5f25b-f459-4fe9-9657-50d4ca679b90", + "metadata": {}, + "source": [ + "Each edge holds the two ligands and the mapping between them. Transformations are always defined as going from `componentA` to `componentB`:" ] }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 20, "id": "ad80c243-82d7-4599-a4a6-5d651c662f24", "metadata": {}, "outputs": [ @@ -2349,40 +2758,13 @@ "name": "stdout", "output_type": "stream", "text": [ - "molecule A smiles: CC(=O)Nc1cc(NC(=O)c2c(Cl)cccc2Cl)ccn1\n", - "molecule B smiles: O=C(Nc1ccnc(NC(=O)C2CCC2)c1)c1c(Cl)cccc1Cl\n", - "map between molecule A and B: {0: 0, 7: 38, 12: 12, 19: 19, 21: 21, 28: 35, 29: 36, 31: 7, 1: 1, 2: 6, 3: 5, 4: 4, 5: 3, 6: 2, 8: 37, 9: 9, 10: 10, 11: 11, 13: 13, 14: 14, 15: 15, 16: 16, 17: 17, 18: 18, 20: 20, 22: 22, 23: 23, 30: 8}\n" + "A: lig_ejm_42 CCC(=O)Nc1cc(NC(=O)c2c(Cl)cccc2Cl)ccn1\n", + "B: lig_ejm_50 O=C(CO)Nc1cc(NC(=O)c2c(Cl)cccc2Cl)ccn1\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": 16, - "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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", 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", "text/plain": [ "" ] @@ -2392,43 +2774,13 @@ } ], "source": [ - "# We can display the atom mapping of an edge by calling it\n", - "edge" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "id": "66dd7d32", - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 317 - }, - "id": "66dd7d32", - "outputId": "13a421f2-ce17-49c6-aac0-e3c157d59a91" - }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "" - ] - }, - "execution_count": 17, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "from IPython.display import Image\n", - "\n", + "edge = next(iter(mst_network.edges))\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\")" + "print(\"A:\", edge.componentA.name, edge.componentA.smiles)\n", + "print(\"B:\", edge.componentB.name, edge.componentB.smiles)\n", + "edge" ] }, { @@ -2447,699 +2799,497 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 21, "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())" + "with open(\"tyk2_mst_network.graphml\", \"w\") as graphml_file:\n", + " graphml_file.write(mst_network.to_graphml())" ] }, { "cell_type": "markdown", - "id": "feb4d54a-01a8-4bbe-ac13-1a15cdb79254", + "id": "eb657e1f-5897-4c1d-b37a-2c7db3b8f0b2", "metadata": {}, "source": [ - "## 2.3. Defining the Chemical Systems" + "
\n", + "\n", + "**Learn more:**\n", + "\n", + "- **User guide:** [Creating atom mappings](https://docs.openfree.energy/en/stable/guide/setup/creating_atom_mappings_and_scores.html) – how atom mappers and scorers work, and how to choose between them.\n", + "- **How to:** [Plan a ligand network](https://docs.openfree.energy/en/stable/cookbook/generate_ligand_network.html) – generating networks with the available planners.\n", + "- **How to:** [Define a ligand network explicitly](https://docs.openfree.energy/en/stable/cookbook/hand_write_ligand_network.html) – choosing the edges yourself.\n", + "- **How to:** [Visualise a ligand network](https://docs.openfree.energy/en/stable/cookbook/ligandnetwork_vis.html) – inspecting networks and their atom mappings in 2D and 3D.\n", + "\n", + "
" ] }, { "cell_type": "markdown", - "id": "cc80f3fb", - "metadata": { - "id": "cc80f3fb" - }, + "id": "a77db32c-8f4b-4bac-ae9e-be4ad0ecbd6e", + "metadata": {}, "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", + "## 7. Protocol settings\n", "\n", - "1. A dictionary of the chemical components (e.g. `SmallMoleculeComponent`,\n", - " `ProteinComponent`, `SolventComponent`) defining the system.\n", + "A `Protocol` defines *how* a free energy difference is computed: the force fields, sampling method, simulation lengths and so on. Its behaviour is controlled by a settings object, and `default_settings()` gives the recommended defaults. The settings are grouped by what they control:" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "fc60d250-bbcd-4ec0-99fe-812a24634c12", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "forcefield_settings : OpenMMSystemGeneratorFFSettings\n", + "thermo_settings : ThermoSettings\n", + "protocol_repeats : int\n", + "solvation_settings : OpenMMSolvationSettings\n", + "partial_charge_settings : OpenFFPartialChargeSettings\n", + "lambda_settings : LambdaSettings\n", + "alchemical_settings : AlchemicalSettings\n", + "simulation_settings : MultiStateSimulationSettings\n", + "engine_settings : OpenMMEngineSettings\n", + "integrator_settings : IntegratorSettings\n", + "output_settings : MultiStateOutputSettings\n" + ] + } + ], + "source": [ + "from openfe.protocols.openmm_rfe import RelativeHybridTopologyProtocol\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." + "settings = RelativeHybridTopologyProtocol.default_settings()\n", + "for name in type(settings).model_fields:\n", + " print(f\"{name:25s}: {type(getattr(settings, name)).__name__}\")" ] }, { "cell_type": "markdown", - "id": "f5506f1a", - "metadata": { - "id": "f5506f1a" - }, + "id": "b65d0967-cc26-4354-aa49-bf28ab04f3c9", + "metadata": {}, "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." + "Each group can be inspected in the same way, for example the simulation lengths and sampler:" ] }, { "cell_type": "code", - "execution_count": 19, - "id": "0b6c9ec3", - "metadata": { - "id": "0b6c9ec3" - }, - "outputs": [], + "execution_count": 23, + "id": "33bc37fd-fc21-47da-9637-d4798aa9c80b", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{'early_termination_target_error': {'unit': 'kilocalorie_per_mole', 'val': 0.0},\n", + " 'equilibration_length': {'unit': 'nanosecond', 'val': 1.0},\n", + " 'minimization_steps': 5000,\n", + " 'n_replicas': 11,\n", + " 'production_length': {'unit': 'nanosecond', 'val': 5.0},\n", + " 'real_time_analysis_interval': {'unit': 'picosecond', 'val': 250.0},\n", + " 'real_time_analysis_minimum_time': {'unit': 'picosecond', 'val': 500.0},\n", + " 'sampler_method': 'repex',\n", + " 'sams_flatness_criteria': 'logZ-flatness',\n", + " 'sams_gamma0': 1.0,\n", + " 'time_per_iteration': {'unit': 'picosecond', 'val': 2.5}}\n" + ] + } + ], "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)" + "settings.simulation_settings" ] }, { "cell_type": "code", - "execution_count": 20, - "id": "8c6d6504", - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/", - "height": 317 - }, - "id": "8c6d6504", - "outputId": "47026705-938a-4e62-f1af-66e9c50334aa" - }, + "execution_count": 24, + "id": "b5bb93da-de81-411f-a7fc-faf700028c92", + "metadata": {}, "outputs": [ { - "data": { - "image/png": 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", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" + "name": "stdout", + "output_type": "stream", + "text": [ + "{'box_shape': 'dodecahedron',\n", + " 'box_size': None,\n", + " 'box_vectors': None,\n", + " 'number_of_solvent_molecules': None,\n", + " 'solvent_model': 'tip3p',\n", + " 'solvent_padding': {'unit': 'nanometer', 'val': 1.5}}\n" + ] } ], "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" + "settings.solvation_settings" ] }, { - "cell_type": "code", - "execution_count": 21, - "id": "23b778d6", - "metadata": { - "id": "23b778d6" - }, - "outputs": [], + "cell_type": "markdown", + "id": "db2ddcbb-5c4e-4de9-a6cd-18380bc386e4", + "metadata": {}, "source": [ - "# Let's create the four ChemicalSystems\n", - "from openfe import ChemicalSystem\n", + "The defaults are a good starting point for most systems. The settings most often changed are the simulation length (`simulation_settings.production_length`), the number of independent repeats (`protocol_repeats`), the number of λ windows (`lambda_settings.lambda_windows`), the solvent padding and box shape (`solvation_settings.solvent_padding` and `solvation_settings.box_shape`) and the force fields (`forcefield_settings`). See [Choose and configure a protocol](https://docs.openfree.energy/en/stable/cookbook/choose_protocol.html) for how to change them, and the [settings reference](https://docs.openfree.energy/en/stable/reference/api/openmm_rfe.html) for every option.\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)" + "Here we change one setting for the whole campaign: the small molecule force field, to OpenFF 2.3.0, to match the AshGC charges assigned in section 4." ] }, { - "cell_type": "markdown", - "id": "1702be9c-a30d-43dc-a291-fefab56a4433", + "cell_type": "code", + "execution_count": 25, + "id": "2b9518ba-3879-4750-af4b-23bd8fde848f", "metadata": {}, + "outputs": [], "source": [ - "## 2.4. Defining the RBFE simulation settings and protocol" + "base_settings = RelativeHybridTopologyProtocol.default_settings()\n", + "base_settings.forcefield_settings.small_molecule_forcefield = \"openff-2.3.0\"" ] }, { "cell_type": "markdown", - "id": "d795f993", - "metadata": { - "id": "d795f993" - }, + "id": "15d5d1e1-bbee-4f8e-b14d-e4bee5492d7e", + "metadata": {}, "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", + "### Adapting settings to each transformation\n", "\n", - "5. Create an OpenMM sampler (in this case we will be using a replica exchange sampler)\n", + "Some settings should depend on the transformation itself. `RelativeHybridTopologyProtocol._adaptive_settings` applies the same recommendations the CLI uses, starting from our base settings:\n", "\n", + "* If both end states contain a protein, the solvent padding is reduced from 1.5 nm to 1 nm. The protein already fills much of the box, so the extra water would only slow the simulation down.\n", + "* If the ligands differ in net charge, explicit charge correction is switched on, and the protocol uses 22 λ windows with 20 ns of production per window.\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.**" + "Because these choices depend on the end states and the mapping, the adaptive settings are applied when the transformations are created, in the next section. The leading underscore means the method is not yet part of the public API, so its name may change in a future release." ] }, { "cell_type": "markdown", - "id": "fdfc694f", - "metadata": { - "id": "fdfc694f" - }, + "id": "fba25530-aa1a-4bf3-b227-97ed84fb972f", + "metadata": {}, "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", "\n", - "9. `thermo_settings`: Settings for thermodynamic parameters, such as the temperature and the pressure of the system.\n", + "**Learn more:**\n", "\n", - "10. `solvation_settings`: Settings for solvating the system, including the solvent model and the solvent padding.\n", + "- **How to:** [Choose and configure a protocol](https://docs.openfree.energy/en/stable/cookbook/choose_protocol.html) – picking a protocol and changing its settings.\n", + "- **Reference:** [Relative Hybrid Topology Protocol settings](https://docs.openfree.energy/en/stable/reference/api/openmm_rfe.html) – every setting and its default value.\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", + "id": "7ca0b0a6-bef7-4614-87a2-623c00dc9f94", "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).\n", + "## 8. Creating transformations\n", "\n", - "**Note: by default the settings use a solvent padding of 1.5 nm, this is appropriate for solvent simulations, but for complex simulations this leads to excess water being in the box, slowing down your simulation. To deal with this, we will create two sets of settings, and two sets of protocols, one for each leg of the transformations.**" + "### One transformation per leg and edge\n", + "\n", + "Each end state of a transformation is a `ChemicalSystem`: a container for the `Components` present in that state. For the complex leg, this is the ligand, the protein and the solvent; for the solvent leg, it is the ligand and the solvent.\n", + "\n", + "A `Transformation` combines two `ChemicalSystem`s, the mapping between them, and the protocol. For each leg of each edge in the network, we create the two end states, adapt the settings to them, and create the transformation. We use the MST network here, as the precomputed results analysed in section 10 were generated from it." ] }, { "cell_type": "code", - "execution_count": 22, - "id": "309c059b-85c7-4911-a417-69889a474fe1", - "metadata": {}, + "execution_count": 26, + "id": "0b6c9ec3", + "metadata": { + "id": "0b6c9ec3" + }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "{'early_termination_target_error': {'unit': 'kilocalorie_per_mole', 'val': 0.0},\n", - " 'equilibration_length': {'unit': 'nanosecond', 'val': 0.009999999999999998},\n", - " 'minimization_steps': 5000,\n", - " 'n_replicas': 11,\n", - " 'production_length': {'unit': 'nanosecond', 'val': 0.04999999999999999},\n", - " 'real_time_analysis_interval': {'unit': 'picosecond', 'val': 250.0},\n", - " 'real_time_analysis_minimum_time': {'unit': 'picosecond', 'val': 500.0},\n", - " 'sampler_method': 'repex',\n", - " 'sams_flatness_criteria': 'logZ-flatness',\n", - " 'sams_gamma0': 1.0,\n", - " 'time_per_iteration': {'unit': 'picosecond', 'val': 2.5}}\n" + "18 transformations\n" ] } ], "source": [ - "from openfe.protocols.openmm_rfe import RelativeHybridTopologyProtocol\n", - "from openff.units import unit\n", - "\n", - "# Create the solvent settings\n", - "solvent_rbfe_settings = RelativeHybridTopologyProtocol.default_settings()\n", - "solvent_rbfe_settings.simulation_settings.equilibration_length = 10 * unit.picosecond # Reduce equilibration length to 10 picoseconds\n", - "solvent_rbfe_settings.simulation_settings.production_length = 50 * unit.picosecond # Reduce prodution length to 50 picoseconds\n", - "solvent_rbfe_settings.engine_settings.compute_platform = None # default is to look for CUDA, none allows falling back to OpenCL or CPU\n", - "\n", - "# Create the complex settings\n", - "complex_rbfe_settings = RelativeHybridTopologyProtocol.default_settings()\n", - "complex_rbfe_settings.simulation_settings.equilibration_length = 10 * unit.picosecond # Reduce equilibration length to 10 picoseconds\n", - "complex_rbfe_settings.simulation_settings.production_length = 50 * unit.picosecond # Reduce prodution length to 50 picoseconds\n", - "complex_rbfe_settings.solvation_settings.solvent_padding = 1 * unit.nanometer\n", - "complex_rbfe_settings.engine_settings.compute_platform = None # default is to look for CUDA, none allows falling back to OpenCL or CPU\n", - "\n", - "# For context, let's display the complex simulation settings!\n", - "complex_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 a 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.\n", + "legs = {\n", + " \"solvent\": {\"solvent\": solvent},\n", + " \"complex\": {\"protein\": protein, \"solvent\": solvent},\n", + "}\n", + "\n", + "transformations = []\n", + "for edge in mst_network.edges:\n", + " for leg_name, leg_components in legs.items():\n", + " state_a = openfe.ChemicalSystem({\"ligand\": edge.componentA, **leg_components})\n", + " state_b = openfe.ChemicalSystem({\"ligand\": edge.componentB, **leg_components})\n", + "\n", + " settings = RelativeHybridTopologyProtocol._adaptive_settings(\n", + " stateA=state_a,\n", + " stateB=state_b,\n", + " mapping=edge,\n", + " initial_settings=base_settings,\n", + " )\n", "\n", - "In this case, since we need to run both solvent and complex simulations with different settings, we will create two Protocols, one for each leg." - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "id": "d1829ab6", - "metadata": { - "id": "d1829ab6" - }, - "outputs": [], - "source": [ - "# Create RBFE Protocol classes\n", - "solvent_rbfe_protocol = RelativeHybridTopologyProtocol(\n", - " settings=solvent_rbfe_settings\n", - ")\n", + " transformations.append(\n", + " openfe.Transformation(\n", + " stateA=state_a,\n", + " stateB=state_b,\n", + " mapping=edge,\n", + " protocol=RelativeHybridTopologyProtocol(settings=settings),\n", + " name=f\"rbfe_{edge.componentA.name}_{leg_name}_{edge.componentB.name}_{leg_name}\",\n", + " )\n", + " )\n", "\n", - "complex_rbfe_protocol = RelativeHybridTopologyProtocol(\n", - " settings=complex_rbfe_settings\n", - ")" - ] - }, - { - "cell_type": "markdown", - "id": "075cad59-5b65-42cf-a900-1df5a2de67f1", - "metadata": {}, - "source": [ - "# 3. Running a Relative Ligand Binding Free Energy Calculation" + "print(f\"{len(transformations)} transformations\")" ] }, { "cell_type": "markdown", - "id": "06d9d8a4-d570-42ea-9936-222b5e1728b2", + "id": "fc4a30d5-bdd1-4984-a4ee-d1b87171186a", "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." + "We can check what the adaptive settings did. The complex legs have the smaller padding, and none of the TYK2 edges change net charge, so no transformation needed the charge-change settings:" ] }, { "cell_type": "code", - "execution_count": 24, - "id": "853d6eef-e716-4284-b02f-8b06f2beb916", + "execution_count": 27, + "id": "0333885c-d858-4ee1-ac64-c443b58faa97", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "rbfe_lig_ejm_42_solvent_lig_ejm_50_solvent 1.5 nanometer\n", + "rbfe_lig_ejm_42_complex_lig_ejm_50_complex 1 nanometer\n", + "Charge-changing edges: 0\n" + ] + } + ], "source": [ - "transformation_complex = openfe.Transformation(\n", - " stateA=ejm_31_complex,\n", - " stateB=ejm_47_complex,\n", - " mapping=ejm_31_to_ejm_47,\n", - " protocol=complex_rbfe_protocol, # use complex 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=solvent_rbfe_protocol, # use solvent protocol created above\n", - " name=f\"{ejm_31_solvent.name}_{ejm_47_solvent.name}_solvent\"\n", - " )" + "for transformation in transformations[:2]:\n", + " print(transformation.name, transformation.protocol.settings.solvation_settings.solvent_padding)\n", + "\n", + "charge_changes = [edge for edge in mst_network.edges if edge.get_alchemical_charge_difference() != 0]\n", + "print(f\"Charge-changing edges: {len(charge_changes)}\")" ] }, { "cell_type": "markdown", - "id": "026ad9fc-635f-44d2-937c-bbc58edf64da", + "id": "fa1f99ad-166c-4eb8-b045-85db984f2d98", "metadata": {}, "source": [ - "## 3.1. Using the Python API" + "Together, the transformations form an `AlchemicalNetwork`, which describes the whole campaign:" ] }, { - "cell_type": "markdown", - "id": "7fd71a0e-7bf6-4529-961b-be8dfa7bbbce", + "cell_type": "code", + "execution_count": 28, + "id": "714c1b69-226c-41dc-b73e-50611e873c34", "metadata": {}, + "outputs": [], "source": [ - "### Creating the `ProtocolDAG`" + "alchemical_network = openfe.AlchemicalNetwork(edges=transformations, name=\"tyk2_rbfe\")" ] }, { "cell_type": "markdown", - "id": "0e2e7d25-5bb6-4344-963d-8cf5298982b4", + "id": "7f066f3c-c683-4f45-9adb-1d46c56b46c2", "metadata": {}, "source": [ - "With the `Transformation` defined, we can move onto creating the `ProtocolDAG`.\n", + "### Writing transformations to disk\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." + "Each transformation is written to its own JSON file, which `openfe quickrun` takes as input:" ] }, { "cell_type": "code", - "execution_count": 25, - "id": "77e72e9a-bac0-4059-b0bf-96c15c9b2696", + "execution_count": 29, + "id": "7ca4833a-6e2c-4cc5-aae2-63e41a8419c5", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "['lig_ejm_31_lig_ejm_47_complex.json',\n", + " 'lig_ejm_31_lig_ejm_47_solvent.json',\n", + " 'rbfe_lig_ejm_31_complex_lig_ejm_46_complex.json',\n", + " 'rbfe_lig_ejm_31_complex_lig_ejm_47_complex.json']" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "complex_dag = transformation_complex.create()\n", + "import pathlib\n", + "\n", + "transformation_dir = pathlib.Path(\"tyk2_json\")\n", + "transformation_dir.mkdir(exist_ok=True)\n", "\n", - "solvent_dag = transformation_solvent.create()" + "for transformation in transformations:\n", + " transformation.to_json(transformation_dir / f\"{transformation.name}.json\")\n", + "\n", + "sorted(path.name for path in transformation_dir.iterdir())[:4]" ] }, { "cell_type": "markdown", - "id": "051fb438-1ab0-4d3f-9615-4b2caff9a9b2", + "id": "8490d06c-a15e-4a7b-a965-396878ad541d", "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", + "### Validating the inputs\n", + "\n", + "Before submitting a campaign, it is worth checking that the inputs are consistent with each other and with the protocol settings. \n", "\n", - "For other Protocols, for example non-equilibrium sampling routines, there might be dependencies between the tasks." + "Components and protocols have a `validate()` method, which raises an error if something is wrong and does nothing otherwise. \n", + "\n", + "`ProteinComponent.validate()` looks for missing residues or caps by flagging any peptide bond longer than 3 Å. The TYK2 protein passes:" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "cc4e6b7e-508f-4880-8f96-f91d0b913d50", + "metadata": {}, + "outputs": [], + "source": [ + "protein.validate()" ] }, { "cell_type": "markdown", - "id": "7f5c142d", - "metadata": { - "id": "7f5c142d" - }, + "id": "b315ec78-d20d-4529-b0d9-b81e08b22ef1", + "metadata": {}, "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." + "`Protocol.validate()` checks a pair of end states and their mapping against the protocol. For the Relative Hybrid Topology Protocol, this includes checking that the end states differ by exactly one small molecule, that there is a mapping between the two ligands, that it maps at least four heavy atoms and does not break or form any bonds, and that every ``Component`` passes its own `validate()`. Creating a `Transformation` does not run these checks, so we run them on every transformation:" ] }, { "cell_type": "code", - "execution_count": 26, - "id": "981cde0c", - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "981cde0c", - "outputId": "812389bc-3730-416b-8154-79e0e1fb4346" - }, + "execution_count": 31, + "id": "7d48f336-85c6-4267-aac5-e433bf66dd7a", + "metadata": {}, "outputs": [ { - "name": "stderr", + "name": "stdout", "output_type": "stream", "text": [ - "INFO:\tStarting system setup unit\n", - "INFO:\tParameterizing systems\n", - "INFO:\tRequested to generate parameters for residue \n", - "INFO:\tGenerating a residue template for [H][c]1[n][c]([N]([H])[C](=[O])[C]([H])([H])[H])[c]([H])[c]([N]([H])[C](=[O])[c]2[c]([Cl])[c]([H])[c]([H])[c]([H])[c]2[Cl])[c]1[H] using openff-2.2.1\n", - "INFO:\tPreset charges applied to atom index 0\n", - "INFO:\tPreset charges applied to atom index 1\n", - "INFO:\tPreset charges applied to atom index 2\n", - "INFO:\tPreset charges applied to atom index 3\n", - "INFO:\tPreset charges applied to atom index 4\n", - "INFO:\tPreset charges applied to atom index 5\n", - "INFO:\tPreset charges applied to atom index 6\n", - "INFO:\tPreset charges applied to atom index 7\n", - "INFO:\tPreset charges applied to atom index 8\n", - "INFO:\tPreset charges applied to atom index 9\n", - "INFO:\tPreset charges applied to atom index 10\n", - "INFO:\tPreset charges applied to atom index 11\n", - "INFO:\tPreset charges applied to atom index 12\n", - "INFO:\tPreset charges applied to atom index 13\n", - "INFO:\tPreset charges applied to atom index 14\n", - "INFO:\tPreset charges applied to atom index 15\n", - "INFO:\tPreset charges applied to atom index 16\n", - "INFO:\tPreset charges applied to atom index 17\n", - "INFO:\tPreset charges applied to atom index 18\n", - "INFO:\tPreset charges applied to atom index 19\n", - "INFO:\tPreset charges applied to atom index 20\n", - "INFO:\tPreset charges applied to atom index 21\n", - "INFO:\tPreset charges applied to atom index 22\n", - "INFO:\tPreset charges applied to atom index 23\n", - "INFO:\tPreset charges applied to atom index 24\n", - "INFO:\tPreset charges applied to atom index 25\n", - "INFO:\tPreset charges applied to atom index 26\n", - "INFO:\tPreset charges applied to atom index 27\n", - "INFO:\tPreset charges applied to atom index 28\n", - "INFO:\tPreset charges applied to atom index 29\n", - "INFO:\tPreset charges applied to atom index 30\n", - "INFO:\tPreset charges applied to atom index 31\n", - "INFO:\tRequested to generate parameters for residue \n", - "INFO:\tGenerating a residue template for [H][c]1[n][c]([N]([H])[C](=[O])[C]2([H])[C]([H])([H])[C]([H])([H])[C]2([H])[H])[c]([H])[c]([N]([H])[C](=[O])[c]2[c]([Cl])[c]([H])[c]([H])[c]([H])[c]2[Cl])[c]1[H] using openff-2.2.1\n", - "INFO:\tPreset charges applied to atom index 0\n", - "INFO:\tPreset charges applied to atom index 1\n", - "INFO:\tPreset charges applied to atom index 2\n", - "INFO:\tPreset charges applied to atom index 3\n", - "INFO:\tPreset charges applied to atom index 4\n", - "INFO:\tPreset charges applied to atom index 5\n", - "INFO:\tPreset charges applied to atom index 6\n", - "INFO:\tPreset charges applied to atom index 7\n", - "INFO:\tPreset charges applied to atom index 8\n", - "INFO:\tPreset charges applied to atom index 9\n", - "INFO:\tPreset charges applied to atom index 10\n", - "INFO:\tPreset charges applied to atom index 11\n", - "INFO:\tPreset charges applied to atom index 12\n", - "INFO:\tPreset charges applied to atom index 13\n", - "INFO:\tPreset charges applied to atom index 14\n", - "INFO:\tPreset charges applied to atom index 15\n", - "INFO:\tPreset charges applied to atom index 16\n", - "INFO:\tPreset charges applied to atom index 17\n", - "INFO:\tPreset charges applied to atom index 18\n", - "INFO:\tPreset charges applied to atom index 19\n", - "INFO:\tPreset charges applied to atom index 20\n", - "INFO:\tPreset charges applied to atom index 21\n", - "INFO:\tPreset charges applied to atom index 22\n", - "INFO:\tPreset charges applied to atom index 23\n", - "INFO:\tPreset charges applied to atom index 24\n", - "INFO:\tPreset charges applied to atom index 25\n", - "INFO:\tPreset charges applied to atom index 26\n", - "INFO:\tPreset charges applied to atom index 27\n", - "INFO:\tPreset charges applied to atom index 28\n", - "INFO:\tPreset charges applied to atom index 29\n", - "INFO:\tPreset charges applied to atom index 30\n", - "INFO:\tPreset charges applied to atom index 31\n", - "INFO:\tPreset charges applied to atom index 32\n", - "INFO:\tPreset charges applied to atom index 33\n", - "INFO:\tPreset charges applied to atom index 34\n", - "INFO:\tPreset charges applied to atom index 35\n", - "INFO:\tPreset charges applied to atom index 36\n", - "INFO:\tPreset charges applied to atom index 37\n", - "INFO:\tPreset charges applied to atom index 38\n", - "INFO:\tCreating hybrid system\n", - "INFO:\tSetting force field terms\n", - "INFO:\tAdding forces\n", - "INFO:\tNo CMAPTorsionForce found. Skipping adding force.\n", - "INFO:\tHybrid system created\n", - "/Users/hannahbaumann/.local/share/mamba/envs/openfe/lib/python3.13/site-packages/mdtraj/core/topology.py:97: UserWarning: atom_indices are not monotonically increasing\n", - " warnings.warn(\"atom_indices are not monotonically increasing\")\n" + "All 18 transformations passed validation\n" ] - }, - { - "data": { - "text/plain": [ - "{'system': PosixPath('hybrid_system.xml.bz2'),\n", - " 'positions': PosixPath('hybrid_positions.npy'),\n", - " 'pdb_structure': PosixPath('hybrid_system.pdb'),\n", - " 'selection_indices': array([ 0, 1, 2, ..., 37051, 37052, 37053], shape=(4755,)),\n", - " 'hybrid_factory': ,\n", - " 'hybrid_system': >,\n", - " 'hybrid_positions': Quantity(value=array([[-1.5732 , -1.2864 , 0.422 ],\n", - " [-1.5275 , -1.4196 , 0.3637 ],\n", - " [-1.4652 , -1.4991 , 0.434 ],\n", - " ...,\n", - " [-0.79803, -1.16755, -2.20897],\n", - " [-0.9577 , -1.23187, -2.25983],\n", - " [-0.98902, -1.35295, -2.04978]], shape=(37065, 3)), unit=nanometer)}" - ] - }, - "execution_count": 26, - "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)" + "for transformation in transformations:\n", + " transformation.protocol.validate(\n", + " stateA=transformation.stateA,\n", + " stateB=transformation.stateB,\n", + " mapping=transformation.mapping,\n", + " )\n", + "print(f\"All {len(transformations)} transformations passed validation\")" + ] + }, + { + "cell_type": "markdown", + "id": "76c1f95a-e141-499b-a1e0-c20fa5a8be91", + "metadata": {}, + "source": [ + "The settings are checked too. Here we increase the number of λ windows without increasing the number of replicas:" ] }, { "cell_type": "code", - "execution_count": 27, - "id": "77accb06", - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "77accb06", - "outputId": "e0b977c0-7e72-4a49-d3ea-eb0cdb85ed5d" - }, + "execution_count": 32, + "id": "429e3928-b9f2-4a33-a771-4689fc4caab7", + "metadata": {}, "outputs": [ { - "name": "stderr", + "name": "stdout", "output_type": "stream", "text": [ - "INFO:\tStarting system setup unit\n", - "INFO:\tParameterizing systems\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:\tNo CMAPTorsionForce found. Skipping adding force.\n", - "INFO:\tHybrid system created\n", - "/Users/hannahbaumann/.local/share/mamba/envs/openfe/lib/python3.13/site-packages/mdtraj/core/topology.py:97: UserWarning: atom_indices are not monotonically increasing\n", - " warnings.warn(\"atom_indices are not monotonically increasing\")\n" + "Number of replicas in ``simulation_settings``: 11 must equal the number of lambda windows in lambda_settings: 15.\n" ] - }, - { - "data": { - "text/plain": [ - "{'system': PosixPath('hybrid_system.xml.bz2'),\n", - " 'positions': PosixPath('hybrid_positions.npy'),\n", - " 'pdb_structure': PosixPath('hybrid_system.pdb'),\n", - " 'selection_indices': array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,\n", - " 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21,\n", - " 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 1755,\n", - " 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1751,\n", - " 1752, 1753, 1754]),\n", - " 'hybrid_factory': ,\n", - " 'hybrid_system': >,\n", - " 'hybrid_positions': Quantity(value=array([[-0.4771 , -0.27958, -1.64978],\n", - " [-0.53622, -0.36601, -1.62251],\n", - " [-0.47773, -0.49364, -1.61997],\n", - " ...,\n", - " [-0.79803, -1.16755, -2.20897],\n", - " [-0.9577 , -1.23187, -2.25983],\n", - " [-0.98902, -1.35295, -2.04978]], shape=(1766, 3)), unit=nanometer)}" - ] - }, - "execution_count": 27, - "metadata": {}, - "output_type": "execute_result" } ], "source": [ - "# solvent dry-run\n", - "solvent_unit = list(solvent_dag.protocol_units)[0]\n", + "inconsistent_settings = RelativeHybridTopologyProtocol.default_settings()\n", + "inconsistent_settings.lambda_settings.lambda_windows = 15\n", "\n", - "solvent_unit.run(dry=True, verbose=True)" + "transformation = transformations[0]\n", + "try:\n", + " RelativeHybridTopologyProtocol(settings=inconsistent_settings).validate(\n", + " stateA=transformation.stateA,\n", + " stateB=transformation.stateB,\n", + " mapping=transformation.mapping,\n", + " )\n", + "except ValueError as error:\n", + " print(error)" ] }, { "cell_type": "markdown", - "id": "ceba2266-8ad5-4205-96df-4b6403fc3b50", + "id": "21524545-1a2c-46f5-a783-682a57bb6bd8", "metadata": {}, "source": [ - "## 3.2. Using the CLI\n", + "
\n", + "\n", + "**Learn more:**\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." + "- **User guide:** [Alchemical networks: planning a simulation campaign](https://docs.openfree.energy/en/stable/guide/setup/alchemical_network_model.html) – how chemical systems, transformations and networks fit together.\n", + "- **User guide:** [Components, Chemical Systems and Thermodynamic cycles](https://docs.openfree.energy/en/stable/guide/setup/chemical_systems_and_thermodynamic_cycles.html) - which component types exist, and how chemical systems define the end states of each leg of a calculation.\n", + "- **How to:** [Dumping a Transformation to JSON](https://docs.openfree.energy/en/stable/cookbook/dumping_transformation.html) – writing transformations to files to run elsewhere, for example on an HPC cluster.\n", + "\n", + "
" ] }, { "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": 28, - "id": "12d35b4c-b737-4c3c-9fda-dc387aaa6915", + "id": "7b6f7dc9-e3fa-4a96-8e16-eb372f69fa31", "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", + "## 9. Running the calculations\n", + "\n", + "Each transformation JSON is run with `openfe quickrun`:\n", + "\n", + "```bash\n", + "openfe quickrun tyk2_json/lig_ejm_31_solvent_lig_ejm_47_solvent.json \\\n", + " -o results/lig_ejm_31_solvent_lig_ejm_47_solvent.json \\\n", + " -d results/lig_ejm_31_solvent_lig_ejm_47_solvent/\n", + "```\n", "\n", - "# then we write out the transformations\n", - "transformation_complex.to_json(transformation_dir / f\"{transformation_complex.name}.json\")\n", - "transformation_solvent.to_json(transformation_dir / f\"{transformation_solvent.name}.json\")" + "`-o` is the results JSON, holding the free energy estimate and uncertainty, and `-d` is the directory for the simulation files (trajectories, analysis plots and so on). By default each transformation runs three independent repeats, whose spread gives the uncertainty in the estimate.\n", + "\n", + "
\n", + "\n", + "We don't run the simulations in this notebook: even one leg takes hours on a GPU. Instead, section 10 uses precomputed results. In a real campaign, you would typically submit each transformation as a separate job on an HPC cluster.\n", + "\n", + "
\n", + "\n", + "### The same campaign from the CLI\n", + "\n", + "Everything in sections 4 to 8 can also be done in a single CLI command, using the default choices (Kartograf mapper, MST network, default (adaptive) protocol settings):\n", + "\n", + "```bash\n", + "openfe plan-rbfe-network -M inputs/tyk2_ligands.sdf -p inputs/tyk2_protein.pdb -o tyk2_cli/\n", + "```\n", + "\n", + "These choices can be customised with a YAML settings file passed via `-s`." ] }, { "cell_type": "markdown", - "id": "05d4c16c-1d16-4ef1-a1b3-2eec6275c778", + "id": "a441ec0c-d14c-4a59-89e4-27c2a6f84f50", "metadata": {}, "source": [ - "You can run the RBFE simulations from the CLI by using the `openfe quickrun` command, as described in Section 5. below." + "
\n", + "\n", + "**Learn more:**\n", + "\n", + "- **Tutorial:** [RBFE with the CLI](https://docs.openfree.energy/en/stable/tutorials/rbfe_cli_tutorial.html) – the same campaign set up and run entirely from the command line.\n", + "- **User guide:** [Customising CLI planning with YAML settings](https://docs.openfree.energy/en/stable/guide/cli/cli_yaml.html) – changing the mapper, network and charge method used by the CLI.\n", + "- **User guide:** [Execution with quickrun](https://docs.openfree.energy/en/stable/guide/execution/quickrun_execution.html) – running transformation files, the output directory, resuming halted jobs and job submission scripts.\n", + "\n", + "
" ] }, { @@ -3149,85 +3299,76 @@ "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", + "## 10. Results\n", "\n", - "## 4.1 Analysis - Python API\n", + "### Fetching precomputed results\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." + "These results come from running the TYK2 network with the CLI defaults:" ] }, { - "cell_type": "markdown", - "id": "f69eb5cb-88ce-4e11-b05e-5591a2ed66c2", - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" + "cell_type": "code", + "execution_count": 33, + "id": "70f53876-99c3-42b3-92d7-14526a167320", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/hannahbaumann/.local/share/mamba/envs/openfe_dev/lib/python3.13/pty.py:95: DeprecationWarning: This process (pid=23951) is multi-threaded, use of forkpty() may lead to deadlocks in the child.\n", + " pid, fd = os.forkpty()\n" + ] }, - "id": "fd1332db", - "outputId": "5b7d8379-d10d-4bf7-eb32-527998843e91", - "tags": [ - "nbval-skip" - ] - }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Fetching /Users/hannahbaumann/.local/share/mamba/envs/openfe_dev/lib/python3.13/site-packages/openfecli/tests/data/rbfe_results.tar.gz\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/hannahbaumann/.local/share/mamba/envs/openfe_dev/lib/python3.13/pty.py:95: DeprecationWarning: This process (pid=23951) is multi-threaded, use of forkpty() may lead to deadlocks in the child.\n", + " pid, fd = os.forkpty()\n" + ] + } + ], "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", + "import locale\n", + "locale.getpreferredencoding = lambda: \"UTF-8\" # needed on Google Colab only\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", - "```" + "!openfe fetch rbfe-tutorial-results\n", + "!tar -xf rbfe_results.tar.gz" ] }, { "cell_type": "markdown", - "id": "d53f72e1-ebec-4cad-8054-1746e1e79074", + "id": "5038cee6-99b1-4c97-8a97-a5597e5c279f", "metadata": {}, "source": [ - "## 4.2 Analysis - `openfe gather`\n", + "### Gathering free energies\n", + "\n", + "`openfe gather` combines the results JSON files into a table. The `--report` option selects what is reported:\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. " + "* `raw`: the free energy of every leg and repeat.\n", + "* `ddg`: the relative binding free energy ΔΔG for each edge, combining both legs and averaging over repeats. The uncertainty is the standard deviation between repeats.\n", + "* `dg`: a binding free energy ΔG per ligand, derived from all ΔΔG values with a maximum likelihood estimator (MLE). These values are relative to the mean of the series, which is set to 0 kcal/mol, so they must be shifted before comparing them with experiment." ] }, { "cell_type": "code", - "execution_count": 29, - "id": "059068d3-d9e2-4923-80ca-c2989a559d1f", + "execution_count": 34, + "id": "ce5cad65-100c-4203-9b0b-7ca7994545e4", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "/Users/hannahbaumann/.local/share/mamba/envs/openfe/lib/python3.13/pty.py:95: DeprecationWarning: This process (pid=68413) is multi-threaded, use of forkpty() may lead to deadlocks in the child.\n", + "/Users/hannahbaumann/.local/share/mamba/envs/openfe_dev/lib/python3.13/pty.py:95: DeprecationWarning: This process (pid=23951) is multi-threaded, use of forkpty() may lead to deadlocks in the child.\n", " pid, fd = os.forkpty()\n" ] }, @@ -3235,37 +3376,37 @@ "name": "stdout", "output_type": "stream", "text": [ - "Fetching /Users/hannahbaumann/.local/share/mamba/envs/openfe/lib/python3.13/site-packages/openfecli/tests/data/rbfe_results.tar.gz\n" + "\u001b[?25lLoading results: ▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇ 54/54 files\u001b[?25h\n", + "writing ddg output to 'tyk2_ddg.tsv'\n", + "ligand_i\tligand_j\tDDG(i->j) (kcal/mol)\tuncertainty (kcal/mol)\n", + "lig_ejm_31\tlig_ejm_42\t0.8\t0.2\n", + "lig_ejm_31\tlig_ejm_46\t-0.89\t0.08\n", + "lig_ejm_31\tlig_ejm_47\t0.0\t0.2\n", + "lig_ejm_31\tlig_ejm_48\t0.6\t0.1\n", + "lig_ejm_31\tlig_ejm_50\t1.00\t0.05\n", + "lig_ejm_42\tlig_ejm_43\t1.4\t0.2\n", + "lig_ejm_46\tlig_jmc_23\t0.3\t0.1\n", + "lig_ejm_46\tlig_jmc_27\t-0.1\t0.1\n", + "lig_ejm_46\tlig_jmc_28\t-0.27\t0.07\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ - "/Users/hannahbaumann/.local/share/mamba/envs/openfe/lib/python3.13/pty.py:95: DeprecationWarning: This process (pid=68413) is multi-threaded, use of forkpty() may lead to deadlocks in the child.\n", + "/Users/hannahbaumann/.local/share/mamba/envs/openfe_dev/lib/python3.13/pty.py:95: DeprecationWarning: This process (pid=23951) is multi-threaded, use of forkpty() may lead to deadlocks in the child.\n", " pid, fd = os.forkpty()\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)" + "!openfe gather results/ --report ddg -o tyk2_ddg.tsv\n", + "!cat tyk2_ddg.tsv" ] }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 35, "id": "ab9f2cca-8458-4515-a64a-20370151e1a5", "metadata": {}, "outputs": [ @@ -3273,7 +3414,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/Users/hannahbaumann/.local/share/mamba/envs/openfe/lib/python3.13/pty.py:95: DeprecationWarning: This process (pid=68413) is multi-threaded, use of forkpty() may lead to deadlocks in the child.\n", + "/Users/hannahbaumann/.local/share/mamba/envs/openfe_dev/lib/python3.13/pty.py:95: DeprecationWarning: This process (pid=23951) is multi-threaded, use of forkpty() may lead to deadlocks in the child.\n", " pid, fd = os.forkpty()\n" ] }, @@ -3281,8 +3422,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "\u001B[?25lLoading results: ▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇ 54/54 files\u001B[?25h\n", - "writing dg output to 'final_results.tsv'\n", + "\u001b[?25lLoading results: ▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇▇ 54/54 files\u001b[?25h\n", + "writing dg output to 'tyk2_dg.tsv'\n", "ligand\tDG(MLE) (kcal/mol)\tuncertainty (kcal/mol)\n", "lig_ejm_31\t-0.09\t0.06\n", "lig_ejm_42\t0.7\t0.1\n", @@ -3300,132 +3441,304 @@ "name": "stderr", "output_type": "stream", "text": [ - "/Users/hannahbaumann/.local/share/mamba/envs/openfe/lib/python3.13/pty.py:95: DeprecationWarning: This process (pid=68413) is multi-threaded, use of forkpty() may lead to deadlocks in the child.\n", + "/Users/hannahbaumann/.local/share/mamba/envs/openfe_dev/lib/python3.13/pty.py:95: DeprecationWarning: This process (pid=23951) is multi-threaded, use of forkpty() may lead to deadlocks in the child.\n", " pid, fd = os.forkpty()\n" ] } ], "source": [ - "!openfe gather results/ --report dg -o final_results.tsv\n", - "!cat final_results.tsv" + "!openfe gather results/ --report dg -o tyk2_dg.tsv\n", + "!cat tyk2_dg.tsv" ] }, { "cell_type": "markdown", - "id": "524015c7-6c42-4b84-98b9-361c17945fbe", + "id": "89fdb7e1-dd2c-48e4-98d7-3b8eb550a090", "metadata": {}, "source": [ - "# 5. Relative Free Energies with the OpenFE CLI" + "
\n", + "\n", + "**Learn more:**\n", + "\n", + "- **User guide:** [Analysis of the Relative Hybrid Topology Protocol](https://docs.openfree.energy/en/stable/guide/protocols/relativehybridtopology.html#analysis) – the diagnostic plots produced for each transformation.\n", + "- **Reference:** [openfe gather](https://docs.openfree.energy/en/stable/reference/cli/gather.html) – all options and report types.\n", + "- **User guide:** [Working with networks of results](https://docs.openfree.energy/en/stable/guide/results/working_with_networks.html) – turning relative results into absolute estimates with MLE.\n", + "\n", + "
" ] }, { "cell_type": "markdown", - "id": "11074a41-2827-48c5-9493-e0e4e2d94838", + "id": "524015c7-6c42-4b84-98b9-361c17945fbe", "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", + "## 11. Analysing results with cinnabar\n", "\n", - "1. Setting up the necessary files to describe each of the individual simulations to run.\n", + "[cinnabar](https://cinnabar.openfree.energy/en/latest/) analyses networks of free energy results. It is what `openfe gather --report dg` uses for the MLE, and it also provides comparisons with experiment and plotting.\n", "\n", - "2. Running the simulations.\n", + "### Loading the results\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)." + "We need the calculated ΔΔG values and, to compare with experiment, the experimental ΔG values. The experimental TYK2 data comes from the [openfe-benchmarks](https://github.com/OpenFreeEnergy/openfe-benchmarks) repository:" ] }, { - "cell_type": "markdown", - "id": "68cc5f26-71e2-4135-b72b-6c5a4a1d4072", + "cell_type": "code", + "execution_count": 36, + "id": "04907653-a4ad-4598-b7ee-02e52a9a0868", "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " ligand_i ligand_j DDG(i->j) (kcal/mol) uncertainty (kcal/mol)\n", + "0 lig_ejm_31 lig_ejm_42 0.80 0.20\n", + "1 lig_ejm_31 lig_ejm_46 -0.89 0.08\n", + "2 lig_ejm_31 lig_ejm_47 0.00 0.20\n", + "3 lig_ejm_31 lig_ejm_48 0.60 0.10\n", + "4 lig_ejm_31 lig_ejm_50 1.00 0.05" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], "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", + "import json\n", + "import urllib.request\n", "\n", - "This command plans a relative binding free energy network and saves it as JSON files for the `openfe quickrun` command.\n", + "import pandas as pd\n", "\n", - "By default, this tool makes the following choices:\n", + "calculated = pd.read_csv(\"tyk2_ddg.tsv\", sep=\"\\t\")\n", "\n", - "* Atom mappings performed by Kartograf\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", + "experimental_url = (\n", + " \"https://raw.githubusercontent.com/OpenFreeEnergy/openfe-benchmarks/main/\"\n", + " \"openfe_benchmarks/data/benchmark_systems/jacs_set/tyk2/experimental_binding_data.json\"\n", + ")\n", + "with urllib.request.urlopen(experimental_url) as response:\n", + " experimental = json.load(response)\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)" + "calculated.head()" ] }, { "cell_type": "markdown", - "id": "26fef157-6989-406d-b719-0ed597ef820e", + "id": "7477fd2f-fc45-438a-9456-243b5e595d69", "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", + "Both are added to a cinnabar `FEMap`, which holds the network of calculated and experimental values. The experimental data names ligands without the `lig_` prefix, so we add it back to match our ligand names:" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "e6a2b311-9e49-443e-9006-d9c59e9bb6cd", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from cinnabar import FEMap, plotting\n", "\n", - "`openfe gather results/ --report dg -o final_results.tsv`\n", + "fe_map = FEMap()\n", "\n", - "This will write out a tab-separated table of results, where the results reported are controlled by the `--report` option:\n", + "for _, row in calculated.iterrows():\n", + " fe_map.add_relative_calculation(\n", + " labelA=row[\"ligand_i\"],\n", + " labelB=row[\"ligand_j\"],\n", + " value=row[\"DDG(i->j) (kcal/mol)\"] * unit.kilocalories_per_mole,\n", + " uncertainty=row[\"uncertainty (kcal/mol)\"] * unit.kilocalories_per_mole,\n", + " source=\"openfe\",\n", + " )\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", + "for ligand in ligands:\n", + " fe_map.add_experimental_measurement(\n", + " label=ligand.name,\n", + " value=experimental[ligand.name.removeprefix(\"lig_\")][\"dg\"][\"magnitude\"] * unit.kilocalories_per_mole,\n", + " uncertainty=0.0 * unit.kilocalories_per_mole,\n", + " source=\"experimental\",\n", + " )\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", + "fe_map.draw_graph()" + ] + }, + { + "cell_type": "markdown", + "id": "acbe80a2-f330-4464-a31f-aaac7f51a7c6", + "metadata": {}, + "source": [ + "### Relative free energies\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." + "First we compare each calculated ΔΔG with the experimental ΔΔG for the same edge. Points on the diagonal indicate perfect agreement, and the shaded bands mark ±0.5 and ±1 kcal/mol." + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "8af7ef81-5548-4408-ae44-d1f5503f3133", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plotting.plot_DDGs(fe_map, source=\"openfe\", figsize=5, title=\"TYK2 relative binding free energies\")" ] }, { "cell_type": "markdown", - "id": "c3a26c6b-c958-4607-a191-f84c626d2db1", + "id": "7d3bd710-957f-48aa-bf5e-14262399eaf8", + "metadata": {}, + "source": [ + "### Binding free energies per ligand\n", + "\n", + "To rank compounds, we combine the ΔΔG values into a ΔG per ligand with the MLE. Because MLE values are centred on 0, we shift them by the mean experimental ΔG to place both on the same scale:" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "89ae8f5c-37c8-41a2-ba7b-d93c5d509dfa", "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "# 6. Useful References for Getting Started" + "fe_map.generate_absolute_values()\n", + "\n", + "absolute = fe_map.get_absolute_dataframe()\n", + "experimental_mean = absolute[absolute[\"source\"] == \"experimental\"][\"DG (kcal/mol)\"].mean()\n", + "\n", + "plotting.plot_DGs(fe_map, source=\"MLE\", figsize=5, shift=experimental_mean, title=\"TYK2 binding free energies\")" ] }, { "cell_type": "markdown", - "id": "2dc92d40-5a28-404f-bbff-5081cec5f995", + "id": "4fed0727-56db-4e80-977e-22aa367c5ee0", "metadata": {}, "source": [ - "In our [documentation](https://docs.openfree.energy/en/latest/index.html), \n", - "we provide tutorials for every protocol to walk you through setup, execution and analysis step by step.\n", + "
\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", - "* [ABFE tutorial](https://docs.openfree.energy/en/latest/tutorials/abfe_tutorial.html)\n", - "* [RBFE using a Separated Topologies (SepTop) approach tutorial](https://docs.openfree.energy/en/latest/tutorials/septop_tutorial.html)\n", + "**Cycle closure.** In a network with cycles, such as the LOMAP network from section 6, the ΔΔG values around each closed cycle should sum to zero, which gives a useful consistency check on the results. The minimal spanning tree used here has no cycles.\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", + "**Learn more:**\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", + "- **cinnabar docs:** [cinnabar documentation](https://cinnabar.openfree.energy/en/latest/) – the full API, including statistics and plotting.\n", + "- **Tutorial:** [Plotting results with cinnabar](https://docs.openfree.energy/en/stable/tutorials/plotting_with_cinnabar.html) – comparing calculated and experimental values.\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." + "
" ] }, { + "cell_type": "markdown", + "id": "51f7f9c6-5308-4296-936d-2569a3e785fc", "metadata": {}, - "cell_type": "code", - "outputs": [], - "execution_count": null, - "source": "", - "id": "eb2308d6adfdda77" + "source": [ + "## 12. Next steps\n", + "\n", + "In this showcase we planned a TYK2 RBFE campaign with the Python API: assigning partial charges, mapping and scoring ligand pairs, building a ligand network, configuring the protocol and writing out the transformations. We then gathered precomputed results and compared them with experiment using cinnabar.\n", + "\n", + "To go further:\n", + "\n", + "* **Step-by-step tutorials:** [RBFE with the CLI](https://docs.openfree.energy/en/stable/tutorials/rbfe_cli_tutorial.html), [RBFE with the Python API](https://docs.openfree.energy/en/stable/tutorials/rbfe_python_tutorial.html), and tutorials for the [other protocols](https://docs.openfree.energy/en/stable/tutorials/index.html).\n", + "* **Choosing a protocol and checking what it supports:** [Protocols](https://docs.openfree.energy/en/stable/guide/protocols/index.html).\n", + "* **How-to guides** for individual tasks: the [Cookbook](https://docs.openfree.energy/en/stable/cookbook/index.html).\n", + "* **Analysing trajectories:** [openfe-analysis](https://openfe-analysis.openfree.energy/en/latest/) loads the simulation trajectories into MDAnalysis.\n", + "* **Debugging failed simulations:** the [Troubleshooting guide](https://docs.openfree.energy/en/stable/guide/troubleshooting.html) covers common errors, such as related to the box size, force field parameter assignment, and NaN errors.\n", + "\n", + "To learn more about the project, visit [openfree.energy](https://openfree.energy/), or ask questions on the [OpenFE discussions board](https://github.com/orgs/OpenFreeEnergy/discussions)." + ] } ], "metadata": { @@ -3449,7 +3762,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.13.11" + "version": "3.13.14" }, "widgets": { "application/vnd.jupyter.widget-state+json": {