{
"cells": [
{
"cell_type": "markdown",
"id": "cb0d308b-8f50-4ac9-a8a3-550d8a2e3feb",
"metadata": {},
"source": [
" \n",
"\n",
"# The OpenFE Showcase: Relative Binding Free Energies in the TYK2 System"
]
},
{
"cell_type": "markdown",
"id": "8eea1a56-3241-4ccf-9d3a-88de6bbf0e0e",
"metadata": {},
"source": [
"# Intro\n",
"\n",
"Welcome to the Open Free Energy toolkit!\n",
"\n",
"The OpenFE toolkit provides open-source frameworks for calculating alchemical free energies. This notebook showcases the methods that are available in OpenFE and their usage.\n",
"\n",
"Throughout this showcase, we will introduce different interchangeable components that users can choose from during the setup of free energy calculations. OpenFE allows you to mix and match different components, such as:\n",
"\n",
"* Atom mappers\n",
"* Scorers (for atom mappings)\n",
"* Ligand networks\n",
"\n",
"This showcase currently focuses on relative binding free energy (RBFE) calculations. However, OpenFE also provides protocols for running [absolute hydration free energy calculations](https://docs.openfree.energy/en/latest/tutorials/ahfe_tutorial.html) and [Molecular Dynamics (MD) simulations](https://docs.openfree.energy/en/latest/tutorials/md_tutorial.html). In the future, other methods will become available, such as absolute binding free energy calculations and RBFE calculations using a Separated Topologies approach.\n",
"\n",
"If you are planning your own calculations, please also check out our [tutorials](https://docs.openfree.energy/en/stable/tutorials/index.html) which will walk you step-by-step through setup, execution and analysis of different protocols."
]
},
{
"cell_type": "markdown",
"id": "28f40a29-4ddd-4f25-8c08-154bb3139bb3",
"metadata": {},
"source": [
"# Outline\n",
"\n",
"0. Setup for Google Colab \n",
"1. Overview \n",
"2. Setup \n",
" 2.1. Loading Ligands and Defining Ligand Atom Mappings \n",
" 2.2. Creating a ligand network \n",
" 2.3. Defining ChemicalSystems \n",
" 2.4. Defining the RBFE simulation settings and protocol \n",
"3. Running a Relative Ligand Binding Free Energy Calculation \n",
" 3.1. Using the Python API \n",
" 3.2. Using the CLI \n",
"4. Analysis\n",
"5. Relative Free Energies with the OpenFE CLI\n",
"6. Useful References for Getting Started"
]
},
{
"cell_type": "markdown",
"id": "AUgaKFN7eCt5",
"metadata": {
"id": "AUgaKFN7eCt5",
"nbsphinx": "hidden"
},
"source": [
"# 0. Setup for Google Colab\n",
"\n",
"If you are running this example in Google Colab, run the following cells to setup the environment. If you are running this notebook locally, skip down to `1. Overview`"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "-jX9udRGehD3",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "-jX9udRGehD3",
"nbsphinx": "hidden",
"outputId": "78a0d40d-a6d2-4a93-a041-406a8cb551b9",
"tags": []
},
"outputs": [],
"source": [
"# NBVAL_SKIP\n",
"# Only run this cell if on google colab\n",
"import os\n",
"if \"COLAB_RELEASE_TAG\" in os.environ:\n",
" !pip install -q condacolab\n",
" import condacolab\n",
" condacolab.install_from_url(\"https://github.com/OpenFreeEnergy/openfe/releases/download/v1.2.0/OpenFEforge-1.2.0-Linux-x86_64.sh\")"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "dlCARZ2_fAI4",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "dlCARZ2_fAI4",
"nbsphinx": "hidden",
"outputId": "d528f4dc-5105-4288-ea08-9b2e75d442ff",
"tags": []
},
"outputs": [],
"source": [
"# NBVAL_SKIP\n",
"# Only run this cell if on google colab\n",
"import os\n",
"if \"COLAB_RELEASE_TAG\" in os.environ:\n",
" import condacolab\n",
" import locale\n",
" locale.getpreferredencoding = lambda: \"UTF-8\"\n",
" !mkdir inputs && cd inputs && openfe fetch rbfe-tutorial\n",
" for _ in range(3):\n",
" # Sometimes we have to re-run the check\n",
" try:\n",
" condacolab.check()\n",
" except:\n",
" pass\n",
" else:\n",
" break"
]
},
{
"cell_type": "markdown",
"id": "0eaea8f6",
"metadata": {
"id": "0eaea8f6"
},
"source": [
"# 1. Overview\n",
"\n",
"In this example we show how to set up a network of transformations using\n",
"the OpenFE toolkit for small chemical modifications of ligands binding to tyrosine kinase 2 (TYK2).\n",
"\n",
"For convenience, a prepared (capped and protonated) PDB structure of the\n",
"TYK2 protein is provided under `inputs/tyk2_protein.pdb`. "
]
},
{
"cell_type": "markdown",
"id": "31608e5a-cedf-4840-b809-a7df32b319ea",
"metadata": {},
"source": [
""
]
},
{
"cell_type": "markdown",
"id": "e9a7f137",
"metadata": {
"id": "e9a7f137"
},
"source": [
"## 1.1. The dataset: Alchemical transformations of TYK2 ligands\n",
"\n",
"Here we explore how OpenFE can be used to build a network of alchemical transformations between the TYK2 ligands.\n",
"\n",
"First, we will use rdkit to visualize the TYK2 ligands."
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "711d73bc-519f-4b81-9daf-c7594c7bbf8f",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from rdkit import Chem\n",
"from rdkit.Chem import AllChem\n",
"from rdkit.Chem import Draw\n",
"\n",
"# Extract the contents of the sdf file and visualise it\n",
"ligands_rdmol = [mol for mol in\n",
" Chem.SDMolSupplier('inputs/tyk2_ligands.sdf', removeHs=False)]\n",
"\n",
"for ligand in ligands_rdmol:\n",
" AllChem.Compute2DCoords(ligand)\n",
"\n",
"Chem.Draw.MolsToGridImage(ligands_rdmol)"
]
},
{
"cell_type": "markdown",
"id": "0870f84e",
"metadata": {
"id": "0870f84e"
},
"source": [
"## 1.2. The plan\n",
"\n",
"Here is what we will achieve in this notebook and what software toolchains are\n",
"used along the way.\n",
" \n",
"\n",
"| **Actions** | **Software** |\n",
"|:------------------------------|:-----------------------------------------------------------|\n",
"| Create OpenFE Molecules | OpenFE RDKit |\n",
"| Create Network | OpenFE Lomap, Networkx |\n",
"| Visualise Network | OpenFE NetworkX, RDKit, Matplotlib |\n",
"| Create ligand topologies | OpenFE interface - OpenFF tk |\n",
"| Create hybrid OpenMM topology | OpenFE interface - OpenMMTools (eventually - ex Perses) |\n",
"| Create Lambda Protocol | OpenFE interface - OpenMMTools (eventually - ex Perses) |\n",
"| Set up and run RBFE calculations | OpenFE interface - OpenMM + OpenMMTools |\n",
"| Analyze RBFE calculations | OpenFE interface - PyMBAR + OpenMMTools |"
]
},
{
"cell_type": "markdown",
"id": "14ade1f0",
"metadata": {
"id": "14ade1f0"
},
"source": [
"# 2. Setup"
]
},
{
"cell_type": "markdown",
"id": "5962dec2-d9ef-475d-8086-ee15954e81f6",
"metadata": {},
"source": [
"## 2.1. Loading Ligands and Defining Ligand Atom Mappings"
]
},
{
"cell_type": "markdown",
"id": "f734578f",
"metadata": {
"id": "f734578f"
},
"source": [
"### Creating OpenFE SmallMoleculeComponents\n",
"\n",
"To keep track of the various inputs being passed through the OpenFE\n",
"toolkit, OpenFE implements a set of Components which define the proteins,\n",
"small molecules, and solvent components which a system may contain. Here we\n",
"use the [SmallMoleculeComponent](https://github.com/OpenFreeEnergy/gufe/blob/main/gufe/components/smallmoleculecomponent.py)\n",
"which takes in either [RDKit molecules](https://www.rdkit.org/docs/source/rdkit.Chem.rdmolfiles.html)\n",
"or [OpenFF molecules](https://open-forcefield-toolkit.readthedocs.io/en/0.9.2/api/generated/openff.toolkit.topology.Molecule.html).\n",
"\n",
"In the backend, OpenFE treats the RDKit molecules as the central representation\n",
"of the ligands, and uses the OpenFF toolkit to convert between objects from\n",
"various toolchains (for example OpenEye's OEMol).\n",
"\n",
"Here we demonstrate how to load the ligands from `inputs/tyk2_ligands.sdf` into a\n",
"list of OpenFE `SmallMoleculeComponent`s for further processing."
]
},
{
"cell_type": "markdown",
"id": "fbc94d04-5d68-4123-82b2-97a1b8872375",
"metadata": {},
"source": [
"Load ligands using RDKit:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "4096ce97",
"metadata": {
"id": "4096ce97"
},
"outputs": [],
"source": [
"import locale\n",
"locale.getpreferredencoding = lambda _: 'UTF-8' # hack for google colab, not needed for local execution\n",
"from openfe import SmallMoleculeComponent\n",
"\n",
"# Load ligands using RDKit\n",
"ligands_sdf = Chem.SDMolSupplier('inputs/tyk2_ligands.sdf', removeHs=False)\n",
"\n",
"# Now pass these to form a list of Molecules\n",
"ligand_mols = [SmallMoleculeComponent(sdf) for sdf in ligands_sdf]"
]
},
{
"cell_type": "markdown",
"id": "044045af-020c-4926-b295-0c9db5bd6a0c",
"metadata": {},
"source": [
"Load ligands using the OpenFF toolkit:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "b5e5b538-4847-42f5-b29e-6e1f25bbbeed",
"metadata": {},
"outputs": [],
"source": [
"from openff.toolkit import Molecule\n",
"from openfe import SmallMoleculeComponent\n",
"\n",
"# Load ligands using OpenFF toolkit\n",
"ligands_sdf = Molecule.from_file('inputs/tyk2_ligands.sdf')\n",
"\n",
"# Now pass these to form a list of Molecules\n",
"ligand_mols = [SmallMoleculeComponent.from_openff(sdf) for sdf in ligands_sdf]"
]
},
{
"cell_type": "markdown",
"id": "3a8d5433",
"metadata": {
"id": "3a8d5433"
},
"source": [
"OpenFE `SmallMoleculeComponent`s have some useful built-in attributes and methods.\n",
"\n",
"For example, the molecule's name (as defined by the SDF file) can be accessed:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "faacbebb",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "faacbebb",
"outputId": "bc0ad1d9-72ad-49d0-e322-61b2a87d5301"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"name: lig_ejm_31\n"
]
}
],
"source": [
"print(\"name: \", ligand_mols[0].name)"
]
},
{
"cell_type": "markdown",
"id": "b24a3ffa",
"metadata": {
"id": "b24a3ffa"
},
"source": [
"As previously stated, `SmallMoleculeComponent`s also use the OpenFF backend to allow conversion between different object types. For example, it's possible to obtain an OpenFF Molecule:"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "29b7c68a",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "29b7c68a",
"outputId": "39e7a77a-d2b8-49d2-8f70-fd8118845a99"
},
"outputs": [
{
"data": {
"text/plain": [
"openff.toolkit.topology.molecule.Molecule"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"type(ligand_mols[0].to_openff())"
]
},
{
"cell_type": "markdown",
"id": "9e72bee2-bcb3-466f-86e7-8b51c8932aa7",
"metadata": {},
"source": [
"### Ligand Atom Mapping"
]
},
{
"cell_type": "markdown",
"id": "3128085c-db8a-4a70-89ef-0fde956fdb40",
"metadata": {},
"source": [
"In the [hybrid topology RBFE protocol](https://docs.openfree.energy/en/latest/guide/protocols/relativehybridtopology.html) , an atom mapping defines which atoms are mutated during the alchemical transformation.\n",
"The user can choose between two different atom mappers:\n",
"1. `LomapAtomMapper`\n",
" * based on the maximum common substructure (MCS)\n",
"2. `KartografAtomMapper`\n",
" * based on the 3D geometries of the ligands\n",
"\n",
"While we use the defaults here, please note that the various supported arguments of\n",
"Lomap and Kartograf can be passed to the atom mapper."
]
},
{
"cell_type": "markdown",
"id": "1eec9783-4620-43ff-8ef7-a647fd6f54ac",
"metadata": {},
"source": [
"**1. `LomapAtomMapper`**"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "01384f2a-99ce-400d-a988-82fd393c4ee5",
"metadata": {},
"outputs": [],
"source": [
"from openfe.setup import LomapAtomMapper\n",
"mapper = LomapAtomMapper()\n",
"lomap_mapping = next(mapper.suggest_mappings(ligand_mols[0], ligand_mols[4]))"
]
},
{
"cell_type": "markdown",
"id": "140f4e46-a58b-425d-b9cf-ab62078fc050",
"metadata": {},
"source": [
"We can also visualize the atom mappings by invoking the individual OpenFE `AtomMapping` objects directly.\n",
"\n",
"Unique atoms between each mapping are shown in red, and atoms which are mapped but undergo element changes are shown in blue. Bonds which either involve atoms that are unique or undergo element changes are highlighted in red."
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "00fb84d6-9fa7-4114-96e5-c656ad6f3a3f",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# We can display the atom mapping in 2D by calling it\n",
"lomap_mapping"
]
},
{
"cell_type": "markdown",
"id": "d3f10c24-e50c-46da-b8d5-8de1f3efae90",
"metadata": {},
"source": [
"It is also possible to visualize the mapping in 3D using py3dmol:\n",
"\n",
"Here, the ``visualization_3D`` method displays the two end state molecules (left and right), in addition to the hybrid molecule (middle).\n",
"\n",
"Atoms that have the same sphere color in both end states are mapped (i.e. will be interpolated between each other), whilst those that do not have a coloured sphere are unmapped (i.e. will be transformed into dummy atoms in the opposite end state)."
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "bbcfd2e2-a50e-4398-85d1-f80b01597720",
"metadata": {},
"outputs": [
{
"data": {
"application/3dmoljs_load.v0": "
\n
3Dmol.js failed to load for some reason. Please check your browser console for error messages.
\n
\n",
"text/html": [
"
\n",
"
3Dmol.js failed to load for some reason. Please check your browser console for error messages.
\n",
"
\n",
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
""
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Visualize the mapping in 3D\n",
"from openfe.utils import visualization_3D\n",
"\n",
"visualization_3D.view_mapping_3d(lomap_mapping, show_atomIDs=True)"
]
},
{
"cell_type": "markdown",
"id": "f21bf9e5-6cb8-41c1-b0fd-e70ee2e71852",
"metadata": {},
"source": [
"**2. `KartografAtomMapper`**\n",
"\n",
"We can also use the `KartografAtomMapper` which is based on the 3D geometries of the ligands."
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "c710a20e-2098-461f-8fa6-5e44b19ad6aa",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"INFO:\t#################################\n",
"INFO:\tMap Heavy Atoms \n",
"INFO:\t#################################\n",
"INFO:\tMasking Atoms\n",
"INFO:\tBuild Distance Matrix\n",
"INFO:\tCalculate Mapping\n",
"INFO:\tFind Maximal overlapping connected sets of mapped atoms\n",
"INFO:\t#################################\n",
"INFO:\tMap Hydrogen Atoms: \n",
"INFO:\t#################################\n",
"INFO:\tMasking Atoms\n",
"INFO:\tBuild Distance Matrix\n",
"INFO:\tCalculate Mapping\n",
"INFO:\tFind Maximal overlapping connected sets of mapped atoms\n"
]
}
],
"source": [
"from kartograf import KartografAtomMapper\n",
"# Build Kartograf Atom Mapper\n",
"mapper = KartografAtomMapper(atom_map_hydrogens=True)\n",
"\n",
"# Get Mapping\n",
"kartograf_mapping = next(mapper.suggest_mappings(ligand_mols[0], ligand_mols[4]))"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "56117a03-6503-4317-9364-27e343a4911e",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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MO3ny5O7du8s2Ls2zo/ZUkgcA+Jhq0WlUOo36ZmCP34w1VUlEAAARAGdNSlxfEzqNWrZuMZueJ3avZITKysqHDx8KBAKc7U6aNAkAcO3atbKyMgCAqqqqRK8erTh27NjOnTvr6+vr6+tzc3MHDBiAm2kEDkinoJ7H461du3bjxo0ODg7Pnj2ThImYmBgHBwcPD4/i4mJbW9vIyMjQ0FBdXd2YmJh+/fqtX7++ufkLKRXigsPhMJlMgUCAczD2e+DkyZNBQUFmZmaWlpZ///33kSOdb372NTQ0NGxsbHR0dNLT09XV1UkkEvttHokANhlpAgD8yz828gUP6lucs0sPldY38QXDVZXv2Bj5m+taDLAzCr5ieOKcgiV+SY/dDHt7+8mTJ+fl5eFsVxgdNTQ07NmzZ1NT06tXr/B0QElJSUNDQ0NDQ00NrRx3N3ASwt9//713797weOTIkStXrgwJCbG2ts7IyBgxYoSHh4ewuKLrZGdnu7m5TZgwIT093cTEJDg4+PXr1y4uLh4eHnl5eV5eXnw+/8SJEzY2NuHh4eIyKgTDsPDwcFtb24MHD/br1y8xMVHsJr5n6urqyGSy8EphZGTU0NAAty56+7ZLfbFFKSsrW7RoEZVKVVBQUFRUzE1PZ9fWAAAmapAdVJTqeHynrNJ176pLOLy+ZIVLvQxCe+n3o/bQ/eOAyYXbyg5DxeWGbDJs2DAAQHx8PM52RZcJR40ahZsPOTk5MTExOBhCSBMpzkYZDIaPj4+SkhIAQFNT08/Pj8fjdWXADx8+eHp6kkgkAICKioqPjw+DwYB/4nA4Hh4eqampGIalpKQMGjQInv60adMKCwvFcDIYhmFYbGyscOTBgwczGAwHB4fffvvtzp07f/75Z0ZGRodCo0lJSVlZWTU1NX///bcYnZQoXC5XT09P+JDD4ejq6mIYFhcXRyQS3d3dq6qqum6Fw+HU1dXV1dXBh+V/Hy9wsKDTqLd7G/UlK5AIgAiAvjxpn5l2Po1KtzevPrxHwGZ33S4Cw7CAgAAAwPz583G2y+FwKBQKgUCorKyESZvTp0+XtNH09HRdXV0ymfz48eOamhr4JJfL/VF+j4h2Ik0hhLx9+3by5MlQPGg02suXLzsxSFNTk4+Pj7KyMgBAXl7e09OzsrJS9AUnTpwAAJBIpLVr1zY0NMC9zdTV1QEAysrKPj4+LBarK2eRk5Pj6uoKz8LIyCg4OBguYLBYrLCwsEOHDt24cYPJZEZERAi1+ZskJyefOXOmsLCQw+Hs2LGjK+51lKioqNevX5eXl586daqjS6rOzs63b9+Gx2fPnl2wYAGGYYGBgYqKigAAbW3t06dP8/l8sfjJyn5dumI+nUaN7WsyXYsCw9DyBAIA4CctFbhSWDisN7f0g1jMITAMy8zMBAAYGhrib3r8+PEAgBs3bhQXFwMANDQ0unjr3DYpKSna2toAAGdn5/b/bBE/ItIXQkhkZCTMaoHzBuHN1zfhcDjBwcF6enoAAAKB4OrqSqfTP39ZS0uLj48PrGs0MDAIDQ2FfeDc3d3hMl7Pnj0fPnzYCc+rqqq8vLxgRiiFQvH29m5sbOzEOJ/T0NBw5swZDMNiYmJiYmLEMmY7yczMvHTp0oEDBzgcjo+PT4feW1hYOGLEiJkzZ06bNs3Jyam8vLyoqAj7/3c89vb2nbvjEcKtKKva9zvdwSJ1gNkKfXVFIgFK4Dwd1YjehvIEAokA7tsY0WnUd5OHdMUQohUCgQD+3L74Q5Moe/bsAQCsW7cOw7AePXoAAF69eiUhW/Hx8TDC7+Li0sW7ZMT3z/cihNhXtKqN1wsEgrCwMEtLS3htHTp0aEJCQtsmcnNznZw+FYqNGjXqzZs3GIbFxsb26dNHGCktLi5u9a7MzMxr1659/mNobm729fVVVVUVTkPbCHvevn374MGDmZmZe/fu9fHxaU+E8MqVK8uWLbtz546Hh8f9+/e/+XoxUlFRcenSJTqdHhwcvGHDhk6MUFNTA0OXxcXFKioq06ZNe//+PdaFOx4h/I8NNSd8C4ZY59j12GemrSVHAgAQAHDWpDzpYwJnge66agCAserKdBq10mdzJ/xHtMHs2bMBAGfPnsXZbmxsLAAAZmzCOqjjx493dBA2m93c3IxhmDC0/jlPnjyB7SHnzZuHZ24qQlp8R0II+aJWfc6zZ89g1yUAQO/evcPCwto5vkAgCA0Nhbe08vLyXl5ejY2NHA7Hz88PfvUpFIqPjw9bZEmJTqffu3cvLi5O+AyXyw0ODhZuUurk5PQ1P4W0tLSsWbPm9evXx44dy8jIuHnzZjsdlgqhoaHr16/Py8sLDAyMjY3tylB37tyBH6yKisqhQ4c4HE5zc3OH7niECDicjzevvBtPe0uj+pvrmip+qsscpqp0p7cRnUYtsLeg25vTadSk/qawauJCL4PCMQP4H+u7cgqIVhw/fhwA4OHhgbNdFoulpKREJBJramrOnj0LAJg9e3ZHBzl16tSlS5fS0tLgzPJzoqKiYOLC8uXLxRXDR3znfHdCiH1Fq4R//dpqXIeor6/38vKCaTVGRkahoaEYhpWUlLi7u8OR+/fvL5xfMhiMPXv2CIMw0dHRffv2hS9zdHQUFcg2KCsrS0tLCwsL27Vr1/379785ee1OlJaWCj9YKyur6OhoDMNyc3Phkk/bdzyfEAiaou8VuYyi06gXehn0IX9q3ddTSd7fXJdOo76fPOTjzSusN68q/1j/fsowOo0KSylslBXyadQavwM4napsAOsWTE1N8TcN80UvXrzo6+sLl5w7qlUw2oFh2JEjRz7/6/Xr12EjxlWrViEVlB2+RyGEfK5VYl+NS0tLE3ZpGjduXE5ODoZhMTEx1tbWcMXR3d29srLy1q1bvr6+KSkpL1++hL9DeEEPCwtrf1nxs2fPzp07x2QyExISwsPDv/nG0tJSYZCWw+GkpaV15Uy/Bx4/fmxjYwM/PVdX14qKirbveIQwXiZ8mD+NTqM+sjV21qTAEWBSaJ4dtXCEbW3QMQGLKfqWii2rMgf2MFSQAwAcpeoWDLHmlpXgdaLdHz6fD7NIYLgbT3bs2AGz3sD/WLBgQXR0NLvdWcHp6elHjx5taGj4448/GhoaRP90+fJleHnx9vaWgO+I75fvVwghSUlJDg4O8BsPg2ny8vKrV69ulRTaafh8fmhoqI6ODhzf29ubyWR+XteRnZ3t6uoK02q0tbV9fX0lvX7u5+e3f/9+eFxeXo5nJ4uCgoK8vE+NV1gs1uPHj8U1MgxBw3Z3GhoasGDmi7NzCLsgv2LLajqNmtjPdJ6OKokAAABkItHLUCNzYI8Cx55V+37n1VZ/wVBJUcHgXn/20AEAmCjIZdv1qNyxUVxngcAwDG4sc+HCBZztCrtdk0gkmCUO0dTUnDt3bmho6DevDFlZWSkpKVVVVSkpKaIvDgoKgg1UkQp2gtraWjiBLi0txb/rUNf5roWwpaUlKCiopaUlNDRUVVVVW1t7xIgR31yN6wS1tbVeXl7wZ2BpaXnv3j0Mw/Lz8ydOnCj81cFp6Pbt28WVFNo2UhTCEydO7Nu3Dx5XVFT069dPvOMXFBRMmTIFfrB2dnbPnz/HMCw1NVV0dp6Z8LRq3+90B8vXA828DDWUiAQAgByBME9H9UU/UzqNWrZ+Cae4relI9cGdeXZUK2UFAMA2Ey26gwUr+7V4T0SWOXz4MABg6dKleBrNzs42NDQEAIwYMaKwsDA1NfXp06fe3t729vZABFtbW29v76dPn7Y/tnny5EkCgUAgEL4YL0W0TUlJSXh4+LZt2+Lj4yMiIjqRwSR1vmshbG5uDggIgMldPXv2BADk5+dLzlx8fDxsCw4AEM1y1NDQ0NTUdHZ2xjMQ5OfnN3v27DNnzpw5c+bo0aPdSQghkZGRMAMehqCrq6tFZ+fyBMJyffVdpto68p+CYOPUyf/2MabTqKXL3Jhv0r85Pq++rnBUvzOW+gAAdRIxpb9ZqefPkjgR2SQ5ORkA0LNnT9wspqWlwb0dxowZ09TUtGPHjoiICHjPimFYYWFhcHCwq6urcDNwAICOjo6rq2toaGirBNGGhoaKigp4zGAwcnJydHV1iUTiqVOncDudbkZMTAy8cc/LyxMN6vwofNdCiGHYuXPn4JcYXjTfvXuXmprq6ekpoa8sh8M5fPgw/C2Zm5vDcl24ZIhbq26In5/fnDlzQkJCQkJCjh8/jrMQTpo06eDBgwcPHtyxY4eEhBD7X8EMLLTX0tLy8/Pj8/mVlZVudv1EO7QOpCheszKg06hFs8Y1Rd9r//h1Z/zpNOpwVWUAwHJ9dTqN2vKsXZlNiG/C4/FgP4qSEjwWX5OTk7W0tAAAU6ZMgbXtgYGBJ0+ePHHiRKtXMhiM6Ohob29vYU9HGNGxt7f38fFJSUkRCARHjhzR1NSEcdEnT54sWLAgLS3t4sWLOJxIt6SoqCgjI8Pb2zslJcXHx0dc61Z4Ip2m2+2kubk5LS3tyZMn4H876yooKOTn558+fRq2HBQ78vLymzdvhompO3fuhBFRae1ub2dnt3DhwoULF7q5ueFsWk9Pz9bW1tbWVrjLoCQgk8m7du16/fr1hAkT6urqNmzYMHr06MrKSm27QRgAAABLJflgS70b1oaDTQx1ft1pGv5IxWlK+8fXWLBMTt9wq4kmEYAL1Y2lHF7t8T+BQCCh05EpSCQSbk1H4+Pjx40bV1dXN3369Fu3bsGlwaFDh3I4HNiAVBRlZWUnJydfX9+cnJysrKxDhw6NHTuWSCSmpqbu3r3bwcHB1tYWwzB7e/vNmzcL32VnZ7dgwQJJn0h3xVBJobG8bPPmzcrKyiNGjMBnlz3x8l3vkKeiouLv7w+PhWqEgyyZmJiEhYUJH0pLCKWItbX1tGnTAACVlZV//fWXRG1ZWVn9888/d+/eXb16dUJCAo1Gg0lJ49TJpyx05ckUtbkemkvWECkq3xyqFQRFJU3P9TZ7t07TokTWtRwraziskNt0P0J12k8SOA+ZY/To0Q8ePIiLi/v5558lZ+Xhw4ezZ89mMpnz588PDQ0VburZo0ePRYsWtb35H7yZ+/XXX1taWh4/fhwVFXX//v2ePXsSCITp06dHRkY+fvwY5x2GuxMYm1V3+nhj+CWMzzcWCFpUVI0Wr7adtxD8gB/pD+NxKyGEtT54msbTIgBg+PDhY8eOhceqqqrr16/H0zr+uLi4ZGZmrl27FsMwOPvf2r+X5k/zze7Eaq/z7oQKQtSmz1Hoab3JSFOBQIisa85kcOoCDmMsplh9ly1YLNbp06efPHkiuh2EhIiKipo1axaTyfT09Lx48aLo1taamprt3wKXQqG4uLgEBwcXFxcL8079/f03btwIv2yIjiJgtJS4z0g7f7q5qRFjMQUcdnVV5ZtjB8o3LAUCvrS96zA/nhAKY6S4mcbfIgDAwcFh6NChs2bNmjBhAofDWbx4MW6mx40bN3XqVHispqa2a9cuSVhpaWk5fvz4zp07c3JyAgMDg4KC1NXV/f39k5KSYNe6HoEXdf84QNLW7ZIZIknby9tEQc5dT1UAgG9pHa+q4uO1ELGcgmxSXFysoaExcuRIBwcHVVXVvLy8yspKSRi6fv367NmzWSzW6tWrhbUNXYRAIMC1RgBA7969p06devLkya4PK4PUHNzJ/VDkW1jxlvnpTuJpIzOkuIqVllR/8UwnBqyqqgoJCXnz5k1GRsb9+/fF6uy3+cGEUF5eHv9ApRRDo3FxcfjvhdanT5+BAweOGDHCwcGBwWDAxpJih0KhrF+/nkQi2djYrFixoqamBj5Po9HgpUpRVTzbn5KHj1UePHy1gYaGHPFFEyu+kVl//hS/oV4sg8sgenp6qqqqO3fulJOTs7OzwzBs7969YtxPFHL58uUFCxZwuVxvb++AgAAJbXC9ffv2jIwMSYzcvRE0fmz+5x7GYX/hT0zGx5BTAMM6OiaGYRMnTrx3756xsXFubq443OwAP4YQ8vBTXuwAACAASURBVPl8gUBAIpFIJJJMCaFUorKQnJyc1NRUCV2AIJcvX4at/f39/T09PYXPi/0D116/TV1ebqW+OgAgqOKjoLmpeMqwkgXTG29cxng8cVmRERoaGt6/f6+trZ2fn5+dnW1iYhIQEGBoaOjg4LB169aEhARBl9ORgoKCPDw8eDzerl27YCs18TJo0CBYekgmky9cuACXwxHth52TSVBQhMdPGpk3aptv1DYnNX/SRYzL5VWWd3RMfX19Op2uqqoKC6hw5scQQtErI86yJBAIeDwegUAQXZ/ADalrsORMl5eX19TUpKSkvH79Wl5ePjExsZVpMcq/orWtykQXd101L0ONQAs9AICAzWLnvKn1O1Dy8xT+RzQ77ABUKnXVqlWTJk0aPXp0TU2NmprahAkTFBQUUlNTDx48OHLkSCMjo8WLF4eHhzc0NLRnwLCwsA8fPggfHjp0aPXq1RiGHT161MfHRxKnMHLkSJjyeuzYsW3btgk7/yHaCcbjAPD1OR+BgHV85TUjIyM/P19VVTUxMTEnJ6esrKxLLnaQ7zprVIjoRRmu2OE2SZLKAiEEwzAejwekNCOUtBAaGhoKM4AcHR0lbVpj/pLmh3doFMUDpXV/9fh0yzkkKe+5Hbdyk6fR2XAx2ur2pKenT5w4saamZsyYMXfv3lVRUWEymYmJiTExMbdv387Ly4P1ryQSaeDAgdOmTXNxcREmA7ciNzf31atXPXr0MDU1BQAcPHhw69atBALhxIkTa9eulfSJvHr1KjExMTY2tn///pK21Z1QsLASSt1YNeUBFEUAgDwBZDE4AACMz5MzNG7/aPyP9Yz4f01LiqgaWsqDBiv0tBbuLIQbP9KMEOoBzpMkKc7J4K4aCgoKEo1PtmEdSEmDJXHz0fTwDoFIBAAIRG5k+RjAeBxWXjbrVYoYbXVvkpOTnZycampqpk6d+uDBAxUVlbS0tHPnzllaWvr6+ubm5hYUFPj5+Tk5OZFIJGH1nqGhoYeHR3h4eGNjo+ho+/btI5PJhYWFAICdO3du3bqVRCKdO3cOBxUEAOCQ+NotkTM0VrCy+eJ1iaCgqDppBqHd8bOGy2eLpwyv+cun/szJ2hMHSxfNrPBaImhpFqu/3+bHEELRKyPOy2ZSD05KS4owDJOXl5eKBkviM2fExWACAQCAIRAUs3nwnwAAAAiAw2Y8Q5fCdhEfHz9+/Pi6ujo3N7eIiAjYmP7SpUtr1661sLCwtLRcsWJFVlbWypUro6Oj6+rqIiMjPT09TUxMKisrL1686ObmBjsGHzx4MDs7GwBw8uTJESNGWFhYbNy4ce/evQoKCteuXVu0aBE+pwM3k4mPj8c6ntwh4+jvPYaRSLO0KHCPFwCALVlxrJYqSVNLe+O2dg5Sf+F0feCR3fRSAYMBAMA47OslNWlxT8o852F8XBfvfwwh/Dw0KiMzQmmZluJZ83g8mBgl3kpnfksTPMhlcgIqGuA/DoYBADA+n1/34/XCwJ+HDx9Onjy5qalp/vz5ly9fFt6ijRkzxs3NTUNDo7Cw8PTp09OnT9fV1f3pp5+uXbtmb28fHBz84cOHzMxMX19fuOd2YmLi1q1b+/TpY2lp6e3t/fHjx6CgID8/P0VFxevXr8+ZMwe3M+rZs6epqWlNTU1OTg5uRrsHcgZGRDmFZgG2lF55p64ZAGClSh43frzJpbtENfX2jMCvrW4I8hOwmFF1LcInU5tZZS1MTtG7ptthbbxX7Px4QiiV0Gi3XKX7Pk1LSP7l9QzgAY2idLCHDvynRCAAAAgKivI9LMRrTnKEh4cfP368qKhI+Ixornl5eXlTU5Mk7LZR2z59+vTr16/D1CcfHx97e/vm5uZbt24tW7bM2Ni4T58+W7duLS8v37RpU3R0dEVFRVhYmKenp4GBARTOmTNnXr58mUwmR0VFzZw5UxLOt8GIESPA9xcdZTAYLBZLIBCIphF9V7DSkgQsRuxHRg6TwxBgBHl50+sPjU6GkrS02zlC8+OH2FcybjAmo/HmZfE5+21+JCGUyhqhbE7Lup/8q85wIyiTv/w3AoEybrJ4zUkOV1dXDocDU0sgov029+zZI4nCU2Ft+5o1a75W2w4bW+/atSslJaW8vDw0NNTV1VVNTS07O/vgwYMTJkwwMDBwc3O7efPmiBEjgoODS0pKEhIStm3bpqenx+PxPD094XwRZ6S4TMhkMgcMGCB86ObmlpaWBgBgs9kHDx5MTU09fvz4q1evTp8+jb9v34SR+ISHYc+aWACAUWrKykNGdvRukvuuAGOzAAAsDPs5vwL+i2381PWJW14idp/b4McQws/XCGUhNCrdNULQveRfbfZ8OV19LUXF3sr/fZ5DVZWIyspqc36RNzYTrznJUVVVZWRkhGeHzEuXLglr2+G+fd98i76+voeHR1hYWFVV1aNHj9avX9+zZ8+6urrw8PAVK1aYmpoOGzbM19dXR0dn//79cM+v0tJSHM7lc6QohBiGiU7fGQwGn88HACgqKsINO9XU1Kqrq2EmkRAul5uXlwcAaGpqqqiowNfl/2hJeJLczG7iC6yVFYwV5CgjxnZ0BIKqGiARAQBKBMJVKwP4b4zap82WiUpfuW2VDD9e+YSsJcsg02KBoKBgfDacuH5J3/cFGIuJCQQEOfnjNqaqM+fpbGjv2v73QEZGxk8//b+m4RiG3bp1Cx6/e/dOvOaCgoLWrFkjEAh27drViao+RUXFiRMnTpw40c/Pr7CwMCYm5u7du9HR0c+fP3/+/Lmampq1tbVQijAMwz85y9raWl9fv6KiIj8/X6J7rXwRPp8vFDM2+79GLeXl5RiGTZkyJScnB+6BIyQ+Pr6hoSEtLQ3m6y5evNjMrPVtHKxM19PTe/36dc+ePSkUCgCA+TKh6WEkv6KMpKVNcZpCGT2h092xuaUfuEWFsY0MAACULvKwMR0dhOw4rPHKOQGj5fM/EUhyyoNHds63zvGjCqEsrBF2v2lZ+01L4gMnaWmbXLjNTHnOSIzj1VYRe1hEswmOkyZrCAS3btzo27evra2t2I2KnQkTJrR6BsOw4uJieNzc3AwA2Lp1q5aWlrOzs3Cj6c5x6NChLVu2EAiEo0ePbty4sStDAQAsLCw8PT09PT1bWlpiYmLu378PW7pYWVkZGRmVlZXl5eWJbiKIDwQCYdSoUeHh4XFxcfgLYW1trZeXFzzOysoSPk+lUmG+mLa29rhx40TfMn78+AcPHhgYGFhbW9+9e1dDQ6PVmGw2+927d/fu3Vu3bh2Xyz1w4MDeP/6o2LiMnZ0BkzMBAC3x/8qZmBkFXGz/kp4ojKePAQCxH5kAgDHqygqWVnJGJh0dRJk2WM6MysnN/vxPBAV5zWVrOuFYp/nxhBBneZBlNepOyTKfIBCUBw1THjQMAFBSUjJBUfH48eNGRkZOTk5UKlUiFiUPkUjcsGEDPM7Ly+NwOCdOnGAymd7e3vr6+hMnTnRxcZk0aZKaWsd6t0qutp1CocyYMWPGjBnCZ0aOHHn9+vW4uDj8hRAAMHr0aCiEy5cvx9m0np6ecMc30U5vAwcOhAf6+vqt3hIREZGTk7No0aKUlJS+fft++PChT58+oi9QVFQ0NDQEAFhaWt69e1dPT69is2dtesqvb0thWyUAwPbc4qWNLWDFPJNrDwikDqsAI/FJCYdXwOKqkoh2FEXy8DEdHQEAAAgE/b1+Ja4T/Mx1i9k8M0U5AICPmY6CkpLe3mPyJj06M2Zn+THWCLt3QX1VVdWiRYuam5sjIiKOHTuGp+mv0f2SZT7HxMSkvr6+V69excXFGRkZwp0vf3QIBMKFCxeWLFliYGAgrN7T19efPHnyiRMn6HR6ewYR1rafP38eh9p26Ra2S8V6pysX+/TpM2nSJACAnZ3d1KlTW6kgAIDBYOTn52MYlpOTo6ioWJWZwc58xeWwC1j/tT0rYvOYXA6vvLz5QWSHPWezmKkvn3xkAABGqinLEQjkji8QQjj52RgAJ8obxmWVxH5kAgJR18nZ/EoUZeykzg3YaX4MIRSdJSgqKsrLy0v6Gi2M17eKyi5btkzstvT09IYPH45h2KxZs0R/Hpqamq6urlJJpZOFeXBKSsqmTZuUlJQcHBwqKyu1tTsTI/oeWLdunfB40qRJffr0mTNnztmzZ8vLy4XVezweDyat9OrVC5a93717V3RRSgiGYRs2bBDWti9cuBCHU4BSFBsbi4Otz+nTp4+Ojk5JSYloWsqtW7cCAgLy8/PPnTsXFBQkXovZ2dmOjo5FRUWDBg0SdQNuQNY2VlZW9vb2RkZG+vr6lpaWn7+ATCYPHz587969NjY21tbWq031BEzGF4cSMFsab1/rqPPMpGcYmxXXyAQAjFFTJlJUlAY4dHQQCCPxyUe+IK2FJUcg2Ksoqrr8pP9XoDz1CyclcbAfgfDwcADAnDlzcLDV3Nzs6+trZGRUWVmJYVhkZCQAwMXFBcOwwMDA33//XRJGT58+3djYiGHYkSNH4DMHDhxIT0+Hx6GhoSUlJZKw+zXgJWn06NF4GoU8f/4cADB48GD8TXdjampqhNV7wt8+mUx2cnLy8/MrKiqCL+PxeEuWLAEAKCoqRkRE4OaeQCDQ09MDALx9+xY3o6LMmjULAHDu3DnRJ+GP8c6dO8ePHxejreTkZHjXtXTp0q6Mw+Pxbty4sX///kuXLjGZzK+9rHS1O51GTR1gpkQkDFJRgv/USMQoGyM6jUqnUcvWL2G8SGi/3aoD2zMH9lAmEogAvOhnWrFlVSdPgM9/52TvZ64LABiqqkSnUZui73dyqC7zA8wIq6qqzp49q6ysnJKSUlBQIDlDXC43MDDQwsJi69atZWVlUVFRQCRIWFNTk5ycTKfTxd6EoqmpCcOwhISEhw8fqqiowGaMQUFBq1evhk23b926hXOetBSjsiYmJjt37sStyZaMoK2t7erqKlq9N3DgQCaTGRMTs2HDhh49egwcOHDr1q0zZ848d+4cmUy+e/cunrXtBAJh5MiRQHrRUWGvtVbPV1VVTZ06VbhZZtdJTk6eNGlSbW3ttGnTurInMIZhLi4uz58/t7OzKywsHDlyJIvF+uIr5fUMAYEAADBWkBNWKfQjK2IArCyoulDdWBUbU7Z6Qcn8aY23rmIs5jdNM57FvmhiMQVYX7KijjyJPLyTcVFWVga/rjYOZtyokQkkEnkw3r22/0NaCtweWlpa9u7dC8MFZDIZAKCkpLR79+42bn86TXR0dN++feFnMnjwYJjMXVxcPHnyZA0NDUNDw5cvX2IYdvfuXbGb/iLm5uZ//PHH4cOHMQybMWNGSkoKPnYh8CZgypQpeBrFMOyXX36JioqCx7t27crNzcXZAZmisrISlr2rq3/qiaWjo0OhUJ4+fYq/MydOnAAAuLu7428awzBYyW5ubi585unTpxcuXCguLj5z5sybN2/EYiU2NhZezdzc3DgcTleGevjw4fTp04UP165de+rUqS++suXpv4Uj+qQOMLNUkodTQDqNOlxV+YDZpz1YVEhED1216D7GdBr13XhabcBhbmX51+yy6Xl0GnWBrioAwMtQg25vzq2q6Nwp1AYeyadRdeRJAIBHtsaly+d1bhyx8J0KIZ/PDwsL69HjU+KQk5NTfHy8p6cnLDOytLS8d++euGy9fPkS3g8CAKysrMLCwgQCQW1t7aZNmxQVFQEAysrKAAASibRu3bqGhgZx2W0bc3Pz5uZmGxub4uJi/IXw5s2bAADRXxo+UKlUOzs7OEWePXs2vPlASJr3799HRkbCNH3h3U9hYWFZWRluPsCd4k1NTXGzKAqfz4d1CMIosdi5f/8+vJL88ssvsKl9V/jrr7/2798vfHj58uVVq74SohQIPiyY/sre0lFFSSiE0zQpD2yNQ3vpj1Mnw8pNAgDDVZX9zXXz7Kh0B4uvxUvrQ4PpNCrM8LxpbfjhF5dOn8KHX1xuWhsCAEwU5Og0an1ocKeH6jrfY2g0JiaGRqO5ubkVFRU5ODg8fvw4KCgoNTXV09MzLi6uX79+BQUFU6dOdXFxEe242Any8/Pd3NyGDBkSHx+vra3t6+v75s2bGTNmnDhxwtLS8ujRoxwOx9XVFXZQJJFI/v7+vXv3vnDhAibJXvVVVVXwgEKh7N27d/PmzfChRI2K8uLFi927dxsaGsbGxl64cAEfoxACgbBkyRIJbceK+CIPHjyIj4+3srI6fvw4AOD169cAgJ07d1pYWAQHB+PmRr9+/bS1tT98+PD+/XvcjAohEomw6ejn0VGxcPfuXdipdcWKFRcuXOj6Lt8KCgpw/QLCZrPhTiBfgEAw9A/R6mV1deB/LdCO25hZ62iNMjI4ban3yNZ4oZ6aEpGQ2MRc9656QnZJcHl9+ZfipYLGj833bhWwuMVsnpYcqV+nCycA4NdWs3MzYcbNWHUyAKDTQ4kHKYrw5yQnJ48d+ynibGZmFhwczOfzMQzbtm3b6dOnMzMzMQzjcrl+fn7CeKmPjw+bze6ooZqaGm9vbzjhI5PJ3t7eDQ0NAoEgLCzM3NwcOuDk5JSWliZ8S25u7vjx4+GfRo0aJa5oiShNTU0+Pj7KysqPHj0SRmmcnZ1NTU2TkpKGDx/euZNtP9nZ2S4uLvAchQlsEyZMyMvLk5xRUczNzblcrr29fXp6OpoR4sP27dvPnj0bEhIiEAh0dHQAAAUFBREREQCAMWPG4OkJrCwMCQnB06iQP/74A/wvJlRfXy/Gka9evQqV79dffxUIBGIZMykpaejQocLR5s6dGx4e3tYb+LymB7fL1ngUzRpf6vnzxxuXBWy2gM1qvHuz2G0SnUZNH2C23UTL5H97KlFIxHk6qg9sjek0auHo/lW+Oyv3bC0YYk2nUbcaawIAZmmp0GlU5uu0tox+ncbb1+k0an+yIgDgjKX+e+ehnRtHXHwvQlhUVOTp6Qk7KGppafn6+oouBPr4+HC53D179gifKS0tdXd3h/9nVlZW0dHR7TTU0tLi6+sLF0WIRKK7u3tpaSmGYXAaCge0tbUNCwv7/L0CgSA0NBSmt8nLy3t5ecFUz67DZrP9/PzgZYhAIGzfvl0ohHQ6XUlJ6fDhw9C3AQMGJCYmfnO0K1euMBiMV69eXbx4sbm5+ZsOVFdXe3l5wZ8rhUKBm+OEhobq6uoKTxZGLCVEamoqn8+HZ52YmDhq1KhZs2a9fPmypaVFckYRGIadPn06Li4ONvwUJk/W1tYSiUQlJSVJrMd/jaNHjwIAFi9ejJtFIQUFBSYmJsKbP9hA3MfHJyUlpYvSdfr0aXhZ8/b2Fpe3kI0bNzo7O/v5+f3888+urq6d91MgYLxMKN+0nO5gkU+jfjVeSjOHYdWhqkoAgOPmunR78+Z/OpkzUbFl1cv+pkQAlIiENwN7VB3Y3knnxYT0hbC2ttbb2xvO6xUUFLy8vD6/HSsuLj558qTo/Azy+PFjGxsb+N11dXWtqGhr2fbzdceMjAwMw7KyslxdXeGTJiYmwcHBPB6vjXHq6+u9vLxgA0AjI6PQ0NBOnfd/REZG9uzZEzowdOhQmKogulZRWlrKYrFiYmKsra2hUrq7u8Pqji/S2Njo7+9fUVFRVFQUFRUVGxvbhnVYLgLbjsjJyXl6esI+h5C6ujovLy/4SzYxMfnGXWeneP/+vbu7OywDF8r/kiVLNDU14+PjLS0t3d3dq6urxW4XAREIBGlpaQwGA8MwPz8/AMDChQsxDIPt2eCmtfiQkpICALCwsMDNIiQ3N9fExATeZe7atWvMmDGiZcpmZmYrV66MjIxszw1lKwIDA+FvR/QmXoxkZ2ffunUrLS2Nx+NdvHhx3rx5MITWOTglxTUnfN+NtaPTqP/YGi/UU1Mmfmr9aqYo95uxZuoAs4wBZvIEAokAUvqb0WnUwpF9+M0dvj8WcLmFo/sf7KEDABijrkynUVvi/+2022JBmkIIp0FwjZpAILi6uhYWFnZ0EA6H4+fnB7vKamho+Pn5fVHGoqOj+/fvD/9T4bojhmElJSWenp5Q0lRUVHx8fODloD2kpqYOHjwYDjhu3LicnJyOeo5h2PPnz4cP/5Qx3Lt37y9OQ0VhMBg+Pj7wpkFTU/NrJ4th2KVLlyoqKphM5uHDh78WYORyucHBwcLCMicnJ9F479OnT+3t7eF7U1JShJW/06ZNe/fuXSuvjh8/XlNTExERERAQ8OTJk3aeflVV1bp16+BFh0wm+/n5CYWwpqZGR0fnxIkT8K96enrnz58XV1gJ8TXS09MBAFQqFcMw2FBm7969uFnn8XjwalBcXIyb0aysLNiQbNSoUcIAT3Nzc2RkpKenp7GxsVAR5eTkhg8f7uvrm5WV1Z6RDx48CK9sx44dk5z/z549u337tkAggMX1//zzTxcHFI2XpvQ38zbWFI2XjlFXBgAMEubdDO5Vc9xX0MEMWEbyMzqNOkWTAgDYZapdMMRawGzvhVdC4CGETCZTeAnjcrkcDqft1bhOANNn4Gh2dnbPnj0T/Sssioc3m1evXhUIBMLVOBj38/T0bGOC9TX4fH5oaCiMZyopKfn4+HweR7pz505MTMzn783JyRFOQ3V1df38/NqfSPb27dvJkz/tn0ej0T7XOSaTuW3btrt370ZERPj6+qampn4+iGi5iKOj47///gtTBAsKCmAIdOLEiUAkV5bP5wcHB8OJo7Kyso+PD4vFgkNxOJybN2/CUuiwsLD3799/8xRaBahdXV1biauQvLw8YZvpESNGvH79up2fEqITiCZPwi4WTk5OeDoAtx+6fPkyPuZSUlLg73fy5MkMBiMrKwtGiUQRducRzXCBDcQjIyOFv4JW+Pr6wp/PmTNnJOc/7D5hamrK5/P37NkDAPj555/FM/TX46VyBIK6HHGhnlpoL/0cux50GrVwRJ/yX1d+jLjWzlKKGr8DeXY91EhEAMDjPiZlaxeKx+cugIcQjho1SjhhCggI+P3334UtZQcMGPDo0SNxGYqMjIStk2HwUBhP4/F4Y8aMOXbsGJvN5nA4wcHBcJ0PTkO72MyitrZWtK7j/v3/miO8f//+/PnzR44c+fjxo/DJz1fjOrfQGBkZCbdfgSudNTU17Xzjy5cvhVu59urVC5aLPHz40NfXNyUlJSgoaNu2bRiGtbS0+Pj4wJp6AwOD0NBQgUBQXl4Ow5jwvQ8fPoRj3rlzB36MR48ebds6DFALO1w7OTm9evWqPScLg1dycnJeXl6inydCvMDWzxcvXqyqqiIQCGQyWaL5Wa2AsyhPT08cbD19+hTe2E2bNo3JZKanp+vq6urr6xcUFHzx9e3sziMQCGCmN4lE6vq6SdsIBAK4qvLo0aMPHz6QSCQlJaW6ujoxmuCUFBcOs4Hzv3s2RsJgKUSVRJysQfmzh87zfqbwNcVzJtSc8GW8SBB8/c6+eM6EK1YGAABY2thwVTrpUaJIQQh37do1Y8aM9qzGdQJ4+YbpoFpaWn5+fqJB81arcQkJHWgs1Dbx8fHCLW+mTZsGZ0VcLtff33/JkiVw8bLt1bhO8EWtauP1wtU4AAAsFxG9nz1y5EhhYeHKlSuhEEJa5crCxN3Y2Fhhq99p06YVFhZu27bt/Pnz2dnZycnJbTgQHR0t3JLb3t7+339bLww0NTXBn3FNTU2rNJmGhgbh0qyhoaGkLzEyy6FDhwAAy5YtwzAMLsC3iq9IlBcvXgAArK2tMQzj8XhhYWHwKyd2hLXtc+fO5XA4KSkpsO2Zs7PzN9dHeDyesDuP6AaKAwYM2Lp169y5cwEACgoKN2/elITnrdi3bx8AYN68eRiGwdjJ1yrrO035Jk+6vTmdRo3sbQQAMJCXi+ht5GWo0ZesIKqKPZXkV+irh/bSz4PTxDEDK7as/njzCq/6v2Abt6ykev8fdBp1hb46AGCZvjqdRuUUfzuGJGlwEkK4opuWlvb777/v2rWroqKi/atxnSA/Px9G9gAADg4OycnJHV2N6wSf13WwWKxz584dPny47dW4LtKeuo4vlouIvqCgoGDjxo03b968evXqb7/9JvqnL+bKwqVZFRUVOK/19fVtO7SbkpIi3FbN1NRUWBgjCo/HCw0NXbduXXZ29v79+zdv3vz5a9LT04cOHQrHGTt2bHZ2dgc+KUQ7SEpKgtN9DMNWrlwJAPjzzz9xs87lcuEvqLS0tKqqqqamRhLdfYW17QsWLOByufHx8fD21MXF5Wuhzq/xeXceXV1dRUVF0ciQRCkpKRFOBK9cuQIAcHR0FK8JVvbrgqG96TTqRiMNAMA8HVVhYf6LfqaHqDrOmhQK6b+SdA05orMmZZ+Z9qdpooPFh19cak741gUeLhzWu8DBkk6jWisrAAAu9jJ4N44mXm87B05C6O7u7uXl5eXlNXbs2F27duFgVCAQXLp0CWqPcItnQ0PD06dPd72tQxu0quu4evXq3bt3RVfjYPM28dJGXcfnq3FfXMOrrKwsKChgs9n5+flfDDyK5soaGxvDCVlJSYnwZAcMGPDFGXZxcbGwMEZTU7NVYczn7Nix48aNG2/evAkICPhisig8WdzqOmQNLpcLVaG0tPTq1asAgMmTJ+PpALyFvX79OoZhcXFxov1TxEJkZCS8I1y5ciWfz3/y5Am8n5s3b147rwyvXr1at24dhmHe3t7btm2DoQs2mx0TEwMX70eOHClen9sGfmIBAQFMJlNTUxMA8PlKZxep2LaeTqPSKIoAgCBLPTqNSne0LBxmU7LUDWpk1sAeob30V+irWyr9l3BLIoC+ZIUV+urXrAze/k876TTq074mBABUSMQcux50x56Nd/GYOreNdEKjOBiFNDQ0LF26VF1dXUVFxdvbOzo6Ojg4WLzVsl/k4cOHrTpWa2pq3rhxQ6J5j63qOkJCQlqVi7RnNa5tRHNlx48fD/9b7969C/OeWtV11NXViRbGeHp6VlVVNt7fPgAAIABJREFUtTE4l8vdvXv3v//+m5GRcfLkyS1btrQROf+8riMqKkoonDk5OS9evOjiycos8Gp+9erVsrIyAICKiopE7x0xDMvNzV2zZg38796/fz8AYPXq1R8+fDh16pR401avXLkCl+d/++03gUAQFRUFv5/Lly/vUOEB3Jhi6dKlS5cuFf2WFhcXwx97V8oYOgq8X3FwcMAwbNWqVQCAzZs3i9dExe/rUvqbkQhAnkDIGGBGd7Co2LoOpsYI2CzGi4SaE75Fs8dDnXvSx2SfmfY4dbKCSNxYW440U0vF31w3fYDZHjNtAMBkDTJ8/bsxAzG+mNfIOor4hbCuri44OHjv3r3CNXYpCiGGYbm5uXByhmGYn59fbW0tPnaFk1GoTHPnzsXHblJSkoODA5QlYXAYlouIBZgrCxdUYPook8lsVddx5MiRU6dOwUkbzEj6WgKCKGw2OyUlJSUlhcViZWdnt2cBNTk5GdZ1TJgwYdKkScLc47Nnz27durWrpyqr/Pnnn3DChGFYr169AABJSUmSM/f69Wu4D7uvry+GYdevX4fx8/bX4bSTVrXt169fh8U5q1at6qhuHTlypLa29ujRoxcuXMjJyamurg4JCYHJrvDWs+s3ne2HzWbD32NGRgaMbOvp6XWxqff/g897N9buCFUXADBCTZlOo2ZfCQkICPDz87t//76fn5+wnoRTUvTx5pWy9UsKhljRadTXA81OWejN1VHVlycJFVGeQNCSIwIANhppfpoj2puXb17RFH2P39LhSk1xIakZ4aFDh4THPj4+sHsLhmGPHj2SRFF2G8DeiX379sUwLCkpyd/fH58aYfjVrKqqOnPmDPhfkTI+8Hi8ffv2KSoqqqurX7lyRRLT0C/mygpLHYQa3PXCmG/C5XKPHTuWl5eHhFBcPHv2DABgY2ODYdjSpUsBAHAXFEmQmpoKCxjGjh3b1NSUnZ1tZGQk/P58LZLfCQIDA+GwsLb98uXLcGq4ZcuWjg6Vk5MTHBz8+vXrBw8ewM1S4P6dAwYMwDDMw8MDACDeLQy/yerVqwEAmzZtwjAMFkzfvn1bXIMz05PpNOoMLQoA4A8TrQLHnvymRoFAsGvXrmvXrp09e1a4c6oQfktz878PqvZ4v580WDhN3G6iNVxVWY5AIAAgRwAAABMFuXk6qv7muq8HmtFp1IKhvcvWLWq4FsopkVTr868hESF88+ZN1+s6xUVqaioAgEajYRgWFha2Z8+edtbDdhG40PLx48fTp0/D2AsORoXk5+cDAHr27ClRK/Hx8cLlT2GubGBgIACAQqE8ePBAotZbMWnSpF9++WXDhg0bNmyYMGECEsJOw+FwKBQKgUCoqKiAXdfhxtRiJykpSUtLCwAwdepUJpOZmZkJa9tHjhx58OBBmDWjrKzs7e3dxWVgWNVHIBD8/PwwDAsODhZv2zMWi6WkpEQkEmtqas6ePQsAmD17tlhGbifJycnCieCRI0cAADNmzBDX4LX+f+XZUTXlSACA6D7GpSt/4fF4AQEBhYWFsMLYx8enjbez6Xl1p47BvFM6jepvrgcAUJcjasn9N01UJhLGqivvNtWO7WsCX1bkMqpq3+/NcTGCL1XvCNgszjs6t6JLWfeiSEQIL168+P00AYE1p0OGDMHZLowTMplMuP3m6tWr8bSelZUFALC1tcUwbM+ePY6OjhKSJQ6Hc+jQIZhusHbtWgzD6HQ6nCZKwlwbTJo06fLlyzC4unPnTiSEXcHJyQkAEB4eDhe91NXVxV7p1Gpzvs8LGGDeGZzGwfysgoICYRvFpqamVgnS6enpv/76K4ZhjY2NkyZNEpbfCGvbz549i2HYyZMnCQQCgUAQ7zQXbuV2584d+P3X0dHB+RoIC5MiIiIqKyvl5eXl5OS6WJ0lpHiec7i1IQDAVFGOTqPWX/w7Kyvr3Llz9+7dy8zMDA4OFgb8ROFwOFevXs3OzuZyudevX4+eOhp2K12kpwYAWGOgkU+j3u5t9Juxpr2KouguSKaKcqLV+gXDbEpX/dJw5Ry3ogzDMF5tdbn3moLBVgUj+xYMs3k3jtZwPRTr8kct/V6jkgbueT1q1Cic7cJbTj6ff+zYMQDAhg0b8LQOe2UNHDgQwzCY2Al3j5IQHz58WLx4MVx/zc7OFgbW8ASFRsXI3r17hXc2sPvB5+GvrtBqcz5hbbuLi0urpOKkpKQhQ4bAS6ShoeHOnTvh8ykpKc7Ozq2GhTksf/3119GjR5ubmwUCwaZNm4BIbbtwaij20OWOHTuEwUlTU1MAgIQqIL8GbFkO9xCdOXOmuALa3KoKur35GgMNAMAiPTU6jcp5R2/PG0tKSqqrq//444+jR49mZmY2picXOPai06hURXkAQJi1IV0kjzSpv6m/ue5MLRU1kTIMZSJhnDp5n5l2Qj8TuJRY7DqxYFjvcFsTqJEw4vrUoVfF7+u6eJrf436E4gXu2iXaRRcHeDyeQCAgkUhEIhE60CqJVNKIGsXBARMTk3PnzsEwl1Q+8K+RmJjo7+9fVFR07dq1xMREabvzwwB7D8GbSNFjsdBqc76EhARnZ+fGxsZ58+bdvHlTSUmpqqoqKCgoMDAwLy/v6dOnfn5+oaGh+vr65eXle/fu9fDwEO7Z+TmNjY319fWpqanZ2dnr168/evSogoJCWFiYh4eHj4/P1q1b4dTQy8tLXKcDEf2URo4cCcT6ibUHDw8PBQWF+/fvl5eXL168GABw/vz5rg/LSHgCMCy2kQEAGK2mLG9sKk+1bM8bjY2Na2trraysKisr8/LyTv3zWN6i5zs29z2bqyFHHEBWJBBJRCUl7TW/6e08aDpp2lQT/cNUneT+Zrf/V63PEmCPPzK2F9eOeFMyObv0UEndk1cZPCZzx7uqBp4AWomqb3lUUcuI/7fpXkRXTlNWhBBnHeJyuQBHHfqcz4UQN2USPXc82bNnD+w7DACYMGHCwoULAQD9+/d3c3N78ODB+PHj8/LycHbpx8XR0VFZWTkzM7Ompka8Qnjt2rXZs2ez2exff/311KlTDx8+dHZ2bm5uXrBgwaVLl4Q91vv06VNfX3/p0iUKhYJhmIeHB51OHzZsGJFIvHjxorm5+ZYtW2Ct8IQJE1xdXefPn//zzz8/evTot99+o1Ao+vr627Zt8/f3V1ZWvnPnzqxZszZt2rRnzx45ObmQkBCoE+Jl6NChCgoKr169amhoEPutQ3vQ1taeOnUqj8e7fPnylClTDAwMsrKy4NphV2AkPKni8rMZHGUiwVFFiTxyXDvfmJqaunnzZgUFhcGDB5eWluppanLfF8R+ZAIARqspkwhAZcpM0/BojSWrVWe4GfwVaB77yvhsuPbilfb29l5Gmrd7G8X2Ndltqj1OnaxMJNBZ3ODKjwvfVv5VVv+5LQGTUX/Wvyun2dWNkr9/pHJdFtUh6ADOMyRR8cP5E5CK8AMAHB0dhccwNgUAUFZWPn369OLFi2GkGtFOFBUVBw8eHBsbm5CQAC/rFRUVXR/277//XrlypUAg8Pb29vX1jYyMdHNzY7PZK1euDAgIEP4fMRiMoUOH/vPPP2QyeeHChX/99deQIUNUVFSGDx9uYmKSl5eXkZHx+PFjCoWirq4eExPzRVs9evRQUFCIjIwcP368l5fXyZMnFRQUrl27BvdcFDtkMtnBweHZs2fPnj2DnxjMThftwSZ2oqKitLW1Bw4cGBERMWTIkMWLF0dERJw5c+bXX39dsGDB4cOHz58/L9w3phNgXC4zKTGukYkBMFRVWZFIIA8b08732tvbR0VFCR+2PHlUweHALelHqZGJauq6O30JJBEBIpKUBjooDXQA6wCvrITx4qnKywTTZ3G/MFrYAiylhfWskRXzkTFURTmxkRVe20whEgAA6S3sYapKAABeSTHG5/2/ATtC9786yNqEDCLFKam0hPCLnDp1is/nFxQUPHr06O3btzweT9oefe/Ex8dv27YNAACzP+Lj4y0sLMrKymBNRVc4deoUVME9e/b4+vpeuXLlp59+YrPZW7ZsOXXqlOidCofDCQ0NHT169PLly0NCQn766Sfhn6ZMmfLq1avo6GgLC4uWlpawsLDBgwf7+/tfvnw5ODj42LFjvr6+27ZtW758eVFRkaqq6vjx4zEMq6+vJ5PJMCTbxbNoA+FE0Nra2sjIqKKiAiZvS4iWlhZbW9uoqKiKioqpU6eeP3/e2dnZ0PD/2rvvsCavvg/gJ5uEkbBlCAgKgooMW0VAUIEqYrXurY/PK+69J+46qqI4ij44KkXBjeAC2WpFwIEDShjKRmSF7HG/f9xtShWVkQQ1v8/Vq1cSknNO1PDNfaZJbm5ueno6ftUbER7O4/HaXIUgK13G4ybX8xBC3kw6gaZBd+3btqJ495L4MuxRo4BEQAN0NBhuAz4RWmRTc51RE413H7G6m2l6NNx45lzvXj1XmunedjDzYtIRQgZkojGVZEwlaZH++Z5x88bNR48eyWSyCxcuvHr1qnXta+cY45cvPDwcITR58mRVVlpSUoIQMjMzwzAMH65X3kqsZuEnT+Gz3r29vRFCCl+e/DG3b99GCPn5+ammOqBw+JSTu3fvor/XxrXfe4fztW0Bw8qVK0+f/uukgj/++MPe3h6fYoMf6I1vK1hfX3///n18PSL6e5G+WCxW+K5jH7p16xZCqG/fvhiGjRs3DiEUGhqq1Bqrq6vxXyxZWVn4/skrVqxAf2+G4NLZFCF0sGeXyo1LOXGxnz1BNyYmZufOnYmJiWKxePr06U+ePKnety3H2VKbREQIJfc0L1s8s40NlcmKhvb71cYIIeSiSWO7WDXEXG5tGZz4G/ludmwXq+50qvywi+WmuhvM9dguVjl+fQsLC1evXn3p0qX09PTWblGrLleE6tMz2bQBHXJJ+kVNlgFtxmKx6HR6QUGBjY3N7Nmzr1+/LhQK21bU7t27V69eTSQST5w4sWTJkiNHjuC/qX/55Rd8GmcL+fv7u7q64retrKy2bt2ak5Mzffp0sVh86NChe/fu3b59u2/fvlFRUfiGEgihxMREhBCZTJafy6087u7uFAolMzOTw+GoYJiwtLR04sSJmpqaiYmJ+PAnQuj//u//EEK///67nZ3ds5JyhFBoQWnV9cuVq+cXDXQqnTm27vSvwlfZzRY4bNgwX19fDodz8uTJIUOGSCQSblrio0YhRyqzpVPNqGSGu3fbmir885WksiIZHyBk0hGRyHAb0NpCtAYNIRl1Qs31NBM06MZT/6+hoUEqlZaVlXXp0gX/2285GCNUeqUd2DeLp5GKG9BRk2WAQqSnp2tpad28eXP69Ol8Pl9DQ6OgoOD48ePHjx/X1NT08fHx9/f39/fHj4f8LAzDVq5cuW/fPnyu5vTp03fv3r1mzRp8bXtrp27ifRs4Y2PjMWPGIIROnz49d+7cy5cv+/n52djYxMbGOjg4IIQOHjy4ZMkSfB2kamhpaTk7O6enpz948KBpED548EBHR4fD4Tx79szExGT48OEKqc7MzOzOnTv47YEDB+I37OzsnJ2dHz9+zOFw8Ede8kROT187adIGMRmDuQ+6Ps1AIYhiZkHv687wHMzo50Gg/pUZ2dnZ2dnZ//nPf/bu3VteXo7q61ivC/BRvYE6dISQpvvAtjWVdy8RIZTSwEcIeeswNBwcSXr6rS6FQOi0+2jZ/42d04ml9fcqC08dOoVKo3azJw0fkxr+O0Jo8ODBR48exZdxt9y3H4RfyBhhh8/WUc8xQtBa33//PYlE+uGHH969ezd06NCoqKjc3Nzr16/HxMRkZWVdu3bt2rVrCCFra+uAgIDhw4d7eXl94up/48aN+/btk89S2bx585YtW0gk0vHjx2fOnKmoNvft27dv377FxcV0Oh1PQYQQfiZDcXGxomppCS8vr/T09OTk5O3btxsZGZWWlubn59NotIcPH86cOdPGxgbvPlWewsLC8vJyhJC9udk0oqBGKrvfIPijkZ/ZKMxsFO4tre1MI7tr0wfV8zxKXlMvnyPQNDScXDU9B2t6+xUVFYnF4qysrJUrV77JesQJPYAQSqznIYS8mHSqjS3ZtEXffj7ES0vK4YtKRRIjCsmBQWV4tDFQaXYOZqevjFq/RFJchCgUAsJ60UQ6P47VX7aBQKXNnz8ff9qmTZtaWzIEodIrhcky4CuSmpoaEBDQ0NAwfPjwCxcu0Gg0V1dXV1fXzZs3V1VV3bp1KyYm5s6dOwUFBYcOHTp06JCWlpa3t/fw4cMDAgLwYbmmpk6devbs2ZCQkOHDhy9btuzAgQMkEunUqVPy07sUSCAQNP1X1717dyaTWV9fn5eXh28drgJeXl579+5NTk4mEAgeHh6XL19OTk4eNWrUkydPEEKRkZH43q1KkpOT4+PjU1FR4e7uHrloLhYTJXz1fLaxrE4ie8Dh3+MI7tbzioWS80LO+WoOnUhw0dQYyKT7cZJNH96r/mWrU1e7/u7eDJno3aFdksgzGkJRiUiSLxBrk4gumjSao2vbWiVrqBc+fyxfOEFAiNHWK0uEENXGtvP5G+Li16KCPCKdTuvRm6ip1ebS5CAIlV6pujUAxgi/XklJScOHD29sbJwwYcLZs2fxYSc5IyOjadOmTZs2TSqVPnjwICYmJj4+PjMzMyYmJiYmhkgkOjs7+/j4BAQE4Av+EEJ2dnZ//vknPpkFX8Bw7ty5UaNGKaPxFhYW5eXldXV1LBYLIUQgELp37/7w4cPk5GSVBaGHhweJRHr06BGPx8MPJE9JSdHQ0Pjjjz8mTJhApVLx/XSU4cmTJ35+fm/fvvXy8rp+/bq2tjYaN1la8453P0krLXHYw7ShDfVbMP1XfFFCPS+hnveCJ7rH4d/j8LeX1HSmkQcxGYM4T/rm5ZDPhCICQhhCCOHp5alDJxMIvISbsqXr2pA6vPvJmFSKd7F6MRkkPX1a9x7tfLOUzpaUzpbtLKQpdQlCmCzzzS+oB+0UGxs7ZswYgUAwa9asX3/99RMrL0kkkoeHh4eHB0KosLAwLi4uPj7+5s2bmZmZmZmZu3fvNjAwGDhwIN53qqOjM3PmzNOnTzMYjMuXL//www9Kaj+NRlu8ePG4ceNWr14tk8kqKyvt7e0fPnyYkpKCTyFRASaT2bt376ysrD/++EM+THj69OlJkyYhhAIDA5VUb2Zmprw3+9KlS/K4JenpaweM1g4YjWRSYe5Lbspd19SEnjnPF5mw3kmkKQ38hHp+WgO/WCg5U9VwpqqBQST209YYxKQPYjKMKCT5hjIIIRmfX3v6V/35Kz7dkoKCgoyMjICAgNjYWITQkCFD+PcSOVLZY66QTCC4a2swPAahL29R77cfhB2ynv2LmiwDY4Tgs6KioqZMmSIWi+fOnXv48OGW7z/QpUuXwMDAwMBAHo+XmJgYGxt78+bNoqKiCxcuXLhwgUwmGxsbl5aWamtrR0dHm5iYCIXC1s7oa7l169b16dMnMTGRQqH4+/tramqePn0aPyNJZby8vLKyspKTk4OCgvT09IqKil6/fi0/H1sZPuzNbuZJRBLNvhfNvpfe7CXSmmre/RSt1LujH6T8pNcoxrBHjcKkel5SA79AIMavF4noXQ9N2iueiICQhw4dIYSJhPURJ6mW1poDBhN1mB9rTENDg7m5eVxc3NixYw8dOkSjUN79kZrSwJdgmJu2hjaJ2Oapp0qlLkHY4Rdk6jNtFYLwqxMRETF9+nSJRIJv+NK2QhgMxrBhw4YNG4YQKigowOfXpKSkiEQiLS2t27dva2pqlpaWRkZGtmEuQ8v5+fnh02QQQn369NHX1y8uLi4qKsK3DleBAQMGHDhwICUlhUgkuru7X79+PSUlRRljorhP92Y3i6RnoB0wSjtgFCYS8bMe8tISve4l9n9TtA6hEpEkrYF/jyNIrudnc4UMIpGHYQGvyv6+TJRhQcsRkaTh6KzpOYjR35tqa/9e4U5OTiEhIWPGjOFyuXQ6XZb3Slrz7p8BQhKJ0ddDKX8Q7fPFXaIqHJlM1tXVxQ98UZkvZLJMhyyfgCD8uhw/fnzq1KntTMH3WFtbL168OC4urrKyUiqVNjY2GhsbOzo62traGhoaKqSKlsBnrCDVbvs5YMAAIpH4xx9/CAQCZa8mjI2NxXdqnTVrlvyo4ZYjUKmMfp4GKzZZXEm0iE42XL/T2t4BPyn3oWPnQUwGTybTIRFrJdKbtdyVRdXfP3sz6c+K0PKapw/uvwvZUzzRv8i3T9WmZY3xN2SNf63WWLVqVUlJSU1NTURExKhRo3hpiTKEUjl8hNBAJkPD6Tuito7i/yDa7du/Ily1alVAQICBgQGGYXfv3q2rq8OXHylV586dAwMD7ezsEEIeHh5UKlWVn3/UXBL/8ssv8+bNMzIyunLlio6OzuDBg5VaNUyW+SocOXJk4cKFCKF9+/bhWyApFovF8vLyunLlSnJyMp/P//XXXxcsWKDwWnAymSwsLKy8vHzcuHEpKSm5ubn79u3z8vK6du1acnIyvgm7Cujp6f34448GBgbyZfX4on6Fa3NvdrMoZhaUURZ0l++LJwVgQgGdSGALRAihU12N9ciku/W8xHp+eqMA/29vaa0BheShTR9cy/V8e0kr9gqBRKL1dNYcMHjbf6bS7HshhGx1tGp2b2hMuJPNFVaLpeZUso0Gpc0LJ5TtGw/C69evr1q1ys/Pr6SkxMzMzNHRsbKyUgX1uri47Nq1KzIyMigoyNXVdfv27Urde/dDH64jdHR05HK5r1+/rq6urq6uVl4QdsigLGiD9qxtbzl5EP7www8zZsxQ3geBSCQOGjRo3759dnZ2enp6cXFxSAlnSLXElSt/HQnE4XDodHpNTY21tbWvr29AQICfn59ChkgV0pv9IYqVjabnQO7dW2y+6I1Qokcm9dKkERGaYaQzw0iHL8MecPgJ9fyken6FWHK1pvFqTSOJgN5frd/ZktqtO+9eEiYWI0yGzxf1ZtIRQmTj9xfYfCG+5SAUCoXz589PSkqytrZGCDU0NERFRamm6urqam9v7/nz53t7e1+6dCkyMjIyMlI1VePkQSgWizEMo1Ao+C+gEydOdOvWLScnR3lVe3h4rFixok+fPsqrArRfUFDQ1q1bSSTSiRMnlHEskZw8ikxNTT9caKhAGIbp6+t36dKFw+FERkbOmjULIdS7d28Wi1VQUPDmzRsLCwvl1f6hvLw8Hx8fPp+PECosLHxvd56hQ4fKz0hprdDQ0Hnz5skP8VBoq5HBqi2Nd2/JR/WICBHIZAKVypz0X+3Kct97SYNqqhFCeQJxQj3vo6v13xRR//7GgxflrcNACFXv2cQYMIhIZyi2zQrQ2p1PvyIvX7787rvvmj5y4sSJ7du3q6DqoKAgfLdfXL9+/TIyMlRQr9zs2bMRQseOHePz+a6urv3799+2bVtERASGYTweLz4+XhmVFhUVTZgwoaamBr+L7ycJvjQymWzJkiUIITKZfPbsWWVXJ5VK8RObi4qKlFqRRCKJiIg4d+4chmEPHz6UP47P3wkPD1dq7e+R7/rt4eFRU1OTkZGxa9cud3f3phfE1tbWixYtiouLE4lELS/58OHDBAKBQCDge6MrHCculu1i5aatgRA62MUw/zub6v3bJW8r5U8QsnNrTx0rnTs5/zsbtotVhqNFSBfDCQbahhSS/K3RiQR3bfoGc73o7qZEhDSIhGwnS7aLVb5b97qo35TR7Hb6loMwKyvLw8Oj6SMqC8JRo0Y1DZvFixfLd81XjRkzZiCEwsLCVFBXfHy8RCLBMOzp06e6urqzZ8/GHzc3N1dB7eCziouLOZy/Th7gcDhPnjyxsLCg0WjR0dGqaQC+u+Zvv3XMb8A9e/YghGbNmiV/pK6u7sCBAxKJJDY2NjQ0FD+2QoGysrLwOQHe3t7yP3lcZWXlmTNnxo4dy2T+swJBS0srICAgNDS0tLT00yWnpqYihIhE4rFjxxTb5n9auHnl094WFAKBREAZjhaVG5d+7JmS2hpOXGzlxqUF3r3ZLla5zlaRtiZzOzHt6dT3ur8taORztp1ynS3ZLlbs72zKFs+svxQhrixX0ltog2+5a9Ta2prNZvN4PAZD1VfidDq96Vb9AoFAZW3AMOzixYvR0dHGxsYhISH9+/fv3r27kurKzMxctWpVQkLC//73P3zvKE9Pz9zc3AcPHri5uSmpUtBaGzZsGD9+/NChQxFCqampkZGR8fHxb968Ud448XvwvU6Sk5OVt4rg07Wjfw8T4gPYUqn08ePHPj4+ip1SnpGRMWTIkHfv3vn7+1+8ePG9rWRauzvPrFmzOBzO+fPnEUIhISFUKnXDhg1du3ZV1twfDOM/SEnjCMQY9p2WBotM/MRJvCSWrpaPv5aPPyaVCJ895qYlut1LdM3LWW6qK1+tH1/HIxMIb4SSiX9W0IkEN236ICZ9UEKcUWoCIhBo9j0Z7gMZHgM1HBw7eJV9Ryexcq1atWrEiBHJyclxcXEXLlxQ2RXhsWPHFixYgN8WiUR2dnbK7hfCxcXFOTs743+zePTS6fQtW7bw+XzFVlRYWDhp0iS8n0dPTw+/9Hz69OmIESOePn3q4uIiFovhivALMX369Bs3buC3b9y4MX36dBU34NGjRwihrl27qrhenFgsxqOu6fVWSEiIUCgsKSm5cuVKXFycoupKSUnBj0j88ccfBQJBC1+Vn58fEhIyZMiQpqlpbGy8cePGiRMn9ujR49q1axiG7dmzJzg4WFFNbZbgxTO2i9VYfS2E0ApTXXYfG0ldTatKEFeUlUwbyXbtgl8jMklEhNBYfW0bjX9mzxER6q1JW2TCutzd5E8XK7aLVeFA54pV8+ovRUjevX2vQFFxUcP1S/WXIniP7sskYsW913/5lq8IEUK7d+++evVqTEwMg8EYPnw4gUBobGxUQb0zZ84cOXLk1KlT8SPuj3/6AAAgAElEQVSk58yZo9StJRBCr169CgoKunDhAkLIzMxs06ZNP/3004YNG06cOBEUFPTbb7+FhITg1wTtVFtbu3v37oMHD+J7HM+YMWP79u0GBgbyCTiOjo5eXl7Hjh1rf11AUdLS0rhcLkLo8ePHqq/d2dmZyWSy2eyysjKlzpdpFplM7t+//+3bt1NTU8ePH48QKi0tLS0tffjwYXl5eWFhoaKuUxMTE3/88cfGxsaJEyf+9ttvLV/VZ21tvWDBggULFvD5/Hv37sXHx1+9ejU3Nxf/K9uyZcvatWtVc/nOu5eIyc9LYtI1HJ1JTN1WlUA2NtFfur58wXQZn5fFFdRLZTYalJ8t9dG/V+s/5QqfcoWHyut0yaR+2hqDmI2Dat4x42+8/Xkjzc6B4TlIc8BgimnnqqDlvPT7iEhCMgkiU0g0DaMdwfTv3RX/zpUUsEAmkz1+/PjGjRtv3rxRakUlJSWBgYEkEgkhpKWlFRQUxOPx5D9NSUnp2bMn/ncdEBDQngtToVAYGhqKD34QCISxY8fm5+djGPbgwQMPDw8tLa2EhIQRI0ZgGFZfX9+rVy9TU9P2vzvQftOnT58zZ87BgwcPHjw4Z84c1V8RYhg2ZMgQhBA+k0X1du7ciRCaO3cufnfUqFFGRkZTp06Nioqqq6tTSBXXr1/Hz8CbNWuWVCpt7cvFYnFkZGROTg6fzw8PDy8tLX3+/HlBQcHEiRMfPHiwe/fulStXquCKsGTayOjupgihThRynotVTdjhtpVTvnIu28VqtjETIfRfYx38NHl2H5v877qyXayeO1me6WY825hp3eQykURAPRnURSasq91N81ys2C5W+d93vWBv+lu3TvjLs50s15nr5fe35/2Rpth3jX3bk2W+eRwOJygoCO9OoVAogYGBFRUVHz5NLBYHBwfjvUMMBiMoKEgoFLaqIplMFhUVha9CQQgNHjw4MzMTw7CXL1+OGDECf9DExOT06dN4EGIYdu7cuU6dOmEYVl1dvWTJkurq6ujo6BMnThQXF7f7fYPW6fCuUQzDfv75Z4RQR00kTktLQwj16NEDv2tv/8/GYFQq1cfHZ9++fTk5OW0u//z58/i4I76qoQ0llJaWVlZWrlu3bs+ePVVVVevXr8cfx4NQJBI5OTkFBgYqNQgltTXsPtZLTVkIoQkG2mwXK2Huy7YVVRd5mu1iZUenIoTOduuU38c6382+JuywlNvYmBxftXN9kX9/PN5uOZitNtPtp61BbjKf1pRKnmSgfdzGKKiz/mITFv7MdMfO3TQobBerQh9XmVjBfaTffhAGBwfv2bOn2YT4eolEotDQUGNjY/mlXl5e3qdfUlpaKu8CsrW1bfm4SHx8vIuLC/5CBweHqKgoDMPevn27aNEivPNHU1Nz9erV9fX1Eomk6Rw5+Xft8PDwioqKOXPmHDlyBIJQ9b6EILx//z5CyN7eXvVVYxgmFAoZDAaBQHj8+DH+SH5+fnBwsI+PT9OdH/ANxKOiot6b6vlp4eHh+Adh9erV7WlkXl5eWFjY5s2bMQzD/4/9HYQYhiUlJVEoFKUGYUPMZbaLlYsmDSH0q41Rod/3WJtCHcOwskUz03qZExDSJBFfOVuWLZ4prX//yltU8rou4mTp3Mn5fbvhF3zHbYwmGGh3ovzVpWxEITUbhAWevRR+UfjtB+GyZcsWLlwoX9ymGtXV1XPnzq2urg4LCwsJCVHsur3o6OiuXbvi/1b69euXmpra8tcmJCTIvw6PHTv2098PXrx4MXbsWPzJZmZmoaGhEomksbFx165d+IwAMpkcGBhYVlb26UrxINy0adO7d+9CQkJa3lrQHuK/vzVfuHAhNzcXv52bm3vhwgXVN0YkEmlqahIIhA75Spqbm8tkMvEF7O+t3nv37l1UVFRgYKCJiYk8Eel0uo+PT3Bw8GeHEuTnVcmjq22ysrL8/f3PnTt38+bN4OBg+eqIHTt2vHz512XZmjVrLl++3J5aPq1i7cIMRwsSAVEIhKe9Laq2rWlbOTKhIL+//TYLfYTQDywG28WK9/BTuSXlcRuT46u2ry0a0o/tYpXnYnW1u8lSU9YKU93NnfVtNCg+TIYPk+GlQ/8rCN26150/07a2fcy3H4RBQUFxcXEKnBjWQmfPnq2srAwKCsLboJAy8dE4/LNqZ2eHX5y1lkgkCg4O1tTURAixWKzg4GB8FWBTzY47isXi0NBQ+e8LHx+fZ8+efbY6Pp9/8uTJ+Pj4Z8+eHT9+vL6+vg1tBq21c+fOvXv3tupLkrL5+PgghFQfw9nZ2Z06dUIImZuba2n9c66srq7u+PHjf/vtt6qqKgzD8PUMGzdudHV1bbrsvUePHitXrkxMTPyw5L179+Jr2/fv36/UtyCRSE6fPt3mftcWkUoKBzrvszJECHno0NkuVo2Jt9tWEjctke1iNZjJQAj9bGlQ4OEga/FYjHy1Pn4VuLmz/pxOzAxHiwxHi/geZngQ5rs7xGzduH///qKiovPnz+MTgNvWVLlvPwivXr168uTJpvNHVAMPwvXr1zc0NDTdZeazpFLpkydP5Hdzc3MbGxtzcnLkF2cGBgbBwcHi9vWS5+fn+/v74wU6Ozvj3S9y+M4jVCp18eLFb9++xTAsLi6uV69e+PO///77pKSk9tQOlG3z5s0SiUQ1i4VaaNu2bQgh+bIi1cjKyjIwMEB/r20Xi8WpqamrV692dXWVRx2RSHR1dV29enVqaio+z6WqqioqKmrq1Kn4YfcIoV69er1XMr63GYFAOHTokAreCH45+/z5cyWVz3/8iO1iNUJPEyG03lwvv283KbexbUW93b3ppbMlg0gkIHSvV+fy5bPbUEjxBH88CJvpGu1vX//q+Zs3b8LCwoKCghISEm7dutW2psp9+0HYIfCpXwkJCUVFRWFhYa0acuByuVZWVvK7AQEBR44cwQchtLS0tmzZ0tjYxn+gH4qOjsbXdRAIhKlTp+KZh2FYVVXV9OnT2Ww2hmHp6en4kmSEkKWl5ZkzZ5T4tRQoyJo1a7Kzs1W8n9GnpaSkNJsoypOeno7v7jZs2LAPl9IWFBSEhoaOHTu26WWigYHB2LFjz5w5U1tbi2GYSCRKTExcuXLlrl27Kiv/2maMy+VmZ2fr6emRSCSVbZeDn3F/5MgRJZX/LmRPrrOVLpmEEIrrYVY6d3Kbi3r9o9fprsYIIQcGle1iVX/lfBsK4d5LKujv8GEQ5vftWjp3skAg2Lt3b319fXJy8tq1axMSEtrcWhwE4RfnwyC8f/++vb19YGBgebniNyXicrlBQUH4jvh6enrBwcHyyd9FRUVTp07Fu4n09fV37drV8jXCoGOVlpZGR0e3YR6/8ggEAjqdTiAQ5N+3lCo5ORmfKT1u3LhPb+bJ4/Hi4uIWLVrUdLEviURydXUNCgrKyMiQyWTbtm0zMDDAWx4bGxsYGPjw4cOLFy+q4I3gQkND8feipPLfTBgaZWeCEOpMI7NdrGrPnmhbOaJCNtvFaoaRDkJoficW27VLm7dSe3d47+O+dumOnfEgzHW2SnSxKQrwlNTW7NmzZ//+/RkZGVevXj18+PCHgzutBUH4xeFyuYaGhr/9zdnZOT09XdkJlJub6+vri/8K8PDwSElJWb16NZ6ODAZj9erVjx49evToEYfD+f3331W8gTj4Znh7eyOErly5ouyKbt68iS8rmjRpUqsGEZ4/f75nzx5vb++my+F79+69bds2X19ffMNSPAiV1vbm4RtWGBkZKbw/RpDzomzxTLaL1QITFkJoupEO28VKVJTfttJqz55gu1hZ0SgIoSg7k+KJ/u1pGzct4c34IezvuuZ/363Q26k6+Gcpl9ueAj/mG99Z5islk8kEAgF+WyqVIoQUcobZJ9ja2t6+ffv3339fuXJlWlra0KFDuVwuiUSaOXPm1q1bzczMcnNzY2NjyWQylUqVr9AHoFU2b95MIBC+//57pdYSExMzduxYgUAQGBh47NixVp1Y26NHD3x2DJfLTUhIiImJiY2NxU/YHj9+/JkzZ/B1IKpnZ2dnampaVlb2559/4u1RiLqIUzVH9mICAUJorjHTVZNmQiUT6XRK5zbuhMW7l1QoFBcJxSwysTeDxnBv10m8DPeBDPeBmESCiUREZW7X3KH7nIKP0NbWnvU3lR2iRiAQpkyZkpOTM2jQIJlMZm1t/eTJk7CwMDMzM4QQ/tmzsrIyMDDYunWrapoEviX5+fmbN28eMGAAvgOLm5tbaWmpwmuJjIwcNWqUQCCYP3++fG1DG2hqag4fPjw0NLS4uBjvlkQIHT58eOHChfh3U9XDZ4wr8JBh/sN7NUf2BheWn6tuQAjRiIROVPLm4ncysbjm2IE2FCjj8QRPHsnPMiQREMPDu/3tJJDJSk1BBEHY4S5cuLBr166qqqqQkJCDBw9iGNax7WEymfjMgpEjRza98rtz587jx48LCgpyc3PxaASgVTAMw8+LxuHjdoqtIjw8fMqUKWKxePXq1fi5fe0vk0AgyOeOOjo6Dhgw4MSJE+0vtg0+PEajnar3b8ME/GZ+IJHURYTJeNzWFsh/mIqJRPiR9AN0GEQdJq2nU/vbqQLQNdrBRo8enZKSkpmZyeFwWCzWq1evbG1tly1bJn/C5MmTVRw8+G+rpjtuIIT8/Pz8/PwQQvJdZgBoLaFQ+Pr1a/x201BUiF9//XX+/PkymWzz5s1BQUGKLVxuy5Yt9vb2AQEBSir/E/AgTExMVEhpMh5PXFSA364WSwsEYoRQiVCCP0IgUwRPMxluA1pVJi8tkS/D0jkCEgEN0NFg9PcikL6OiPk6WvkNq6qqysrKWrp0qa6u7tWrV7W1tclk8sKFC+VPmDBhgoqbJBaLEUJUKlXF9YJv3ps3bzZs2IDfLisrU2DJe/fuXbVqFb62fenSpQosGde/f398DqqOjs7Zs2fr6uoUXsVnOTg4GBkZlZeX5+fn29jYtLM0GaeBQKFgEjFC6B5HUC6WIoQaJLK/foxhsob61pWIYbz7yfc4fBGGuWjSdMmkdg4QqhIEYQcLDw+3sLB4/fp1QUGBs7Mzvmy2Y+FB+N4VIQDt161bt7Nnz+K3my5pb6fdu3evWbMGX9u+YMECRRXb1KBBg5q9rUoEAsHDw+Py5cvJycntD0KSvgGeggihEXqaEw20EUJ5AvGW4ncIIQwhsql5qwrk/ZEqqar4a4CQSUdEIqOfZzsbqTIQhB1sxYoV+A0rK6sObcg/8D4ruCIEX4VNmzZt27aNRCKFhYUp69z2L4aXlxcehDNnzmxnUQQymdHfm5uW0PxPqTSNHo4tLEpcWly1abkwOwshRCMSdEhEbx2GhkMvkp5+OxupMjBZBrwPghAoA4PB+O677+R3+/bti08fbZW8vLwnT57gt8Vi8ZUrV6qrq6lU6vnz51WQggUFBfg313PnzoWFhfF4PGXX+B7FDhMarNhE1GB00aCYUf+6ItIkEpw1aUS6hnHQHkQktaQQcfHrkkkBN1JTOSIxQmijuV6EbSeEkKSyAhOLFdJOFYAgBO9rdrIMAO1kamoaHBwsv3v06FF8F9BWSUxMvHTpEn6bx+Phs0MfPHgwZswYhTX046ytrU1NTRFCFy9elEqlbV6b0Wa9evXS19cvLi6WzzlqD7KpuemJ86Nsu3ibGCICASFkxtRe2dXMcMNuhmdLu38r1y6Q8RqPl9dVS/5aVZLeKEhq4Mka6mpPH21/I1UDghC8D64IwVeESCSqfiazg4NDz5497927p+J6iUSiu7s7UtwiCpqdg8X1NMNNe5jjp+uMnmiwdINl7H2tIT+28OWigjxRUT6SyT78kUwobDh3RiGNVAEYIwTvg1mjQHkkEklERASZTB4yZMiVK1fMzc1/+OGHVpWQlJS0fv16hJBQKFROGz+qqqqKSqU+fvzYw8PjxYsX06ZNU3EDEEKrVq2aN28eHoftFBcXV1BQ4Onp6eAz9MCDjIkTZ8oPOm0h0Z+vCEQSvho0tKJeh0xECL3kifppayCEZHyurKGOqMNqf1OVDYIQvA+uCIHyEIlET0/PEydO2Nvbczic7OzsjwVhZGRkcXHxf/7zn/379/fu3XvcuHH44zY2NkOGDEEIcbnc6Oho1TUdISMjIyXNSm2h6urqpUuXpqen43eHDRv2yy+/yI/abq1Bgwbl5OTU1tbevn1bS0uLw+G0uggiEf29aYEXk2FC+fewIoa1cKCxw0HXKHgfBCFQHiKRyGAwMAwrLy+3trauqan52DN9fX0rKipkMll9fX3TLbA7d+7s6enp6enp5uamkiZ/QTAMazpDh8/ny5rrlmy5AQMG5OTkREZGlpaWvnr1qrUvpzn0wsR/rcHvTqf01qT11qTJp94QmSyilnZ7mqcyEITgfTBZBigPn8+/dOmSoaFhly5dCgoKPrEejsFguLu7FxQUHDhw4OXLl+KvZwqiUkkkktK/tXN3nrt376alpQ0cOPDkyZOBgYGenq1e9kcxt9To6dTs9jFEOoM1fW57mqdK0DUK3gdjhEB56HT6vHnz8Nuf7tOLjY2trKz08vI6depU9+7d8W9mPj4+8ksiBoNx8OBBZTf4S1NRUSFffJyXl9eeouT7JiKEbG1t21aI0Y7g0skBKy0Exn/3iw5iMiQUGq23K2tCB4yhtg0EIXgfdI2CL8Ho0aPxG4GBgfIHra2t5bcpFMrQoUNV3ayOZm5ufu7cOfx2R+1x0xTZ0Nj8/C3aniBe0h0CTQNhMgtNxJo+mzVj7tcyQIggCMGHIAgBAC0kFovficSddh3m1dYI3hRps1iUzpZfUQTiIAjB+yAIAfgyUanUprvzODk5aWpqdmB7EELXrl1js9n+/v7/+9//NDQ0goKCKF9bCiKYLAM+BJNlAPgyMZnMU6dOye/u37+/w/coHjNmjJ6eHpPJ5PP5NTU1X+kXaAhC8D6YLAMAaKFTp04xGAwikWhqaurk5PTmzZuOblFbkDZv3tzRbQBflsrKSjs7u2HDhmlpaXV0WwAAzYiOjr59+7atre3x48etrKw68KNKIpH09PSMjIy6du1qYWFhZ2fXUS1pDwKGYR3dBvClOH/+vI2NDT4IwWaz79y5I5/pDgD4ctTV1SUnJ5ubm5eXl9vY2LR5cxmAg65R8I8HDx7k5+fjtysrK+Pj4zu2PQCAj8nJyXFxcSGRvr6ZKV8gCEIAAPjKbN++3dLSsqys7NWrV9nZ2R3dnK8edI2CfyxevPjOnTuGhoYIoYaGBmtr68uXL3d0owAAQLngihD8S1BQUEpKSkpKypEjRzq6LQAAoAoQhAAAANQaBCEAAAC1BmOE4B8cDodCoWhoaCCExGIxl8tlsb6C06UBAKA9IAgBAACoNegaBf8iP/5UKpV2bEsAAEA14PQJ8I/4+Pg///xTX1+fzWZraGh4eXn16dOnoxsFAADKBVeE4B8+Pj4DBw6UyWQCgSA3N9fAwKCjWwQAAEoHQQj+8ezZsxs3bowYMUIqlS5evDglJaWjWwQAAEoHk2XAP+7du1dWVtatWzcajZabmxsQEEAmQ+c5AOAbB0EIAABArUHXKAAAALUGQQgAAECtQRACAABQaxCEAAAA1BoEIQAAALUGQQgAAECtQRACAABQaxCEAAAA1BoEIQAAALUGQQgAAECtQRACAABQaxCEAAAA1BoEIQAAALUGQQgAAECtQRACAABQaxCEAAAA1BoEIQAAALUGQQgAAECtQRACAABQaxCEAAAA1BoEIQAAALUGQQgAAECtQRACAABQaxCEAAAA1BoEIQAAALUGQQgAAECtQRACAABQaxCEAAAA1BoEIQAAALUGQQgAAECtQRACAABQaxCEAAAA1BoEIQAAALUGQQgAAECtQRACAABQaxCEAAAA1BoEIQAAALUGQQgAAECtQRACAABQaxCEAAAA1BoEIQAAALUGQQgAAECtQRACAABQaxCEAAAA1BoEIQAAALUGQQgAAECtQRACAABQaxCEAAAA1BoEIQAAALUGQQgAAECtQRACAABQaxCEAAAA1BoEIQAAALUGQQgAAECtQRAqUl5eXlVVVUe3AgA1VVhYWFpa2tGtAF8fAoZhHd2Gb4eRkdHkyZMPHDiQl5eXmZk5ZswYMpmsjIqePHlSXFw8fPhwBZYpFotv3brFZrMNDAy8vb07d+7c9KdCoTA2Ntba2trJyUmBlQKgQM7Ozra2tpGRkWVlZSkpKf7+/jo6Osqo6PXr1+np6QEBAXQ6XeGFS6XSK1euYBjWo0cPBwcHhFBaWlp5efl7T2OxWL6+vgqvXU1hQHEMDQ2XLFmCYdihQ4cQQhwOR0kVLVmyxNjYWIEFPn/+3MbGRlNT08HBgclk0mi00NBQ/Ed1dXXBwcFmZmYIoREjRiiwUgAUy8nJady4cRiGXbt2DSH0/PlzJVV05swZhFBJSYkyCt+7d6+GhgZCaOvWrfgj48aN0/03Mpns6uqqjNrVE3SNKsWcOXM4HI6WlpaSyt+xY0dubq4CC5w5c2bPnj0rKipevHhRXl7u4+OzYMGCmpoahNCoUaMuXbq0dOlSa2trBdYIgPIMGzaMw+HY29srqfwJEybU1NSYmJgovOSioqLNmzevX7++6YORkZE1TbDZbA0NjZEjRyq8drWllI47UF1dzWaz3d3dicS/vmq8ffv2/v37HA7H1NSUwWAYGBh07dr1s+WUl5ffv39fIBA4OzvjnSS4kpKSioqKAQMGiESilJQUNzc3gUCQmJgok8m8vLyMjY2lUmlqamp5eXmPHj0cHR0/W9GNGzfIZDKe3HQ6/aeffoqNjc3Ly+vbt++dO3dIJBJC6OzZs2384wBAterr61+8eOHq6spgMPBHGhoa0tLSampqDAwMDAwMqFRqSz4X9fX1qamptbW13bp169evn/zxd+/evXjxwtPTk0ajpaWl2djYsFisxMTE2traPn362NnZIYQeP36ck5NjZmbm4eEh/z3waRiGBQYGWllZLV++fOPGjR972rFjx2Qy2Zw5c1pSJmiRjr4k/aZ8rGt0165dNBpNR0fH3t4eH1RYs2bNZ0sLCQmhUqlGRkbW1tYEAmHt2rXyH8m7RisqKhBCixcvZjKZDg4OLBZLS0srJibmu+++MzU1tbGxQQitW7eutW9kzJgxTCazrq6u6YO9e/eGrlHwJftY12h4eLiOjg6dTre3t8dHDceMGfPZ0m7cuMFisZhMpp2dHZFI/PHHH2UyGf6jpl2jlpaW06ZN69y5s42NjYmJCZFIDA0NnTx5MovFcnBwIBKJfn5+Uqm0Je0PCwsjEAhpaWlisRg16RptSiAQmJiYzJ07t4V/JqAloGtU6S5evLhmzZr58+fX1NS8fPmSx+PRaLTPviozM3Px4sVz5swpKyvLz89ft27dnj178vLymn3ynTt30tPTX7x4UVhYqKmpOWLEiHnz5pWUlLDZ7Hnz5u3evbu2trYlTb1169aaNWvc3NwePnx48eJFJpPZurcKwJcnIyNjxowZQ4YMqa6ufvnyZX19fdPOlY+pqamZMGGCm5tbWVlZTk5OREREdHT09evXm33ytWvXzpw5w2az37x54+XlNWfOHCMjI3yg4eTJk3fu3ElMTPxsjRUVFStWrJg1a5a7u/snnvb7779XVFQsXLjwswWCloMgVLqjR49aW1vv3r0b72BsoatXrxKJxOXLlzc0NNTW1k6aNEkqld66davZJy9YsMDW1hYhxGKxXF1de/ToMWPGDAKBgBDy9fWVSqWFhYUtqfT169cvXryorKzEMOzt27ctby0AX6zjx49raGiEhobKu0nxj8anxcfHNzQ0LF++XCgU1tbW+vn56erqxsbGNvvkkSNHDhw4ECFEJpO9vLwwDNu5cyf+fdfHxwchxGazP1vjwoULSSTSjh07Pv20gwcPDh8+XHnDn+oJxgiV7sWLFwMHDmztOor8/HyJRGJpadn0weLi4s++8L3LTSqVihDCe1o+a/bs2bNnz5bJZMuXL58yZUoLxxcB+JK9ePHCzs6OxWK16lX5+fno7xiT+9gHsGmy4p84OfzzKBKJPl1dTEzMxYsXw8PDDQwMPvG0W7duPXv2LCQk5NOlgdaCIFQ6BoPRwqHy917VqVOnly9fNn2wJX2q7UckEmfNmhUcHBwfHw9BCL52DAZDIpG04VUIITabraenJ39QScuCEUJr165FCC1cuLBpn+fPP/8cHR396NEj+SP79u1zdXUdMGCAkpqhtiAIla5r164ZGRkymQyPw9evX7fk+qx79+4nT5589+5dSyaXtl9GRoaNjY2uri5+t7KyEv39uwCAr1rXrl0jIiI4HI62tjZCiMvllpWVfbZrsXv37gih7Oxs1axSWLduHYfDkd+VyWRz58719fWdNGmS/MHs7Oy7d+9GRESooD3qBoJQ6WbMmDFlypRly5YtXry4srJy0aJFMpnss6+aOnXqrl27JkyYcOjQIUtLy/z8/Bs3bmzfvh3/TiqPVYWQSCRTpkzBMOyXX36xsbHJy8tbuXKlrq7uTz/9hBCqrq5+8uQJQojD4bx9+zY+Pp5KpcJ3UvC1mDZt2vHjx//73/9u3bpVJBKtW7euJXPHBg8e3LNnz0WLFlGp1N69e5eXl0dHR8+ZM8fU1BQhhH+EFfgZnDhxYtO7Eolk7ty5ffr0GT9+vPzBvXv3mpmZjR49WlGVAjmYLKNIZDIZnxFDJBJJJBI+cjB58uRffvklMjLS2tp6yJAhQ4cObUkPp7GxcVxcHIVC8fDwMDc3DwgIqKioqK+vx39aVFRkbm6uwGbfvn3bwcFh9OjRPXr0+OmnnwwNDePj442NjRFCDx8+9PX19fX1LSgouH//vq+v79ixYxVVNQAK1OwH0M3NLTw8PDMz097e3s3NzcTEpFu3bi0p6tatW46OjiNGjDA3N/fw8Hj69GlDQwP+01rWcu0AAAJTSURBVKKiIhqNZmRkpNS301RpaWlkZOTSpUspFIrKKlUfsNeo6tTV1eELEqhU6tq1a7du3VpaWlpSUvLhM/X19eU9oo2NjQKBoOkQellZWbdu3TZu3LhmzZpWNSArK6vZXlkHBwe814jP51dWVurp6Slph0YAOhCHw6HT6WQyuXv37i4uLhERETU1Nc0uSdLU1OzZsyd+m8/nczgcQ0ND+YwYkUjk6OjYu3fvyMjIVjUgLy8P363pPRYWFsrYpAa0QoeuYlRH+Afv9OnTGIYFBQU1+5cyfvz4T5QwevRoW1tbLpfb2qoNDQ2brS4pKant7weArwqXy2UwGBs2bMAw7Ny5c81+IhwdHT9Rwo4dO7S1tQsKClpb9YgRI5qtbufOnW1/P0ARYIxQ6a5cuXLmzJkJEyZYWlrW1dXt2LGDyWT+8MMPCKEVK1bMnj37w5d8Ykt7Ho9XV1cXExPThpksz58/l0qlHz6ur6/f2qIA+Fo8efJk2bJlU6dOtbW1FQgEhw8fFovFo0aNQgiNHDmyrKzsw5d8uvvx5cuXFy9e7NKlS2tbcurUKYFA8OHj0AHT4aBrVOmys7OPHj2alJT0+vVrFovl5OS0bds2V1fXjm4XAGqhqKjo6NGjt27dwgf2HBwc1q1bh38TBQAHQQgAAECtwaxRAAAAag2CEAAAgFqDIAQAAKDWIAgBAACoNQhCAAAAag2CEAAAgFqDIAQAAKDWIAgBAACoNQhCAAAAag2CEAAAgFqDIAQAAKDWIAgBAACoNQhCAAAAag2CEAAAgFr7f1kIpTqT+nJ8AAACIXpUWHRyZGtpdFBLTCByZGtpdCAyMDI0LjAzLjQAAHice79v7T0GIBAAYkYGCFAAYkUgbmBkZNAAiTOyOYBoZhZiaZg+QbBZjGwMEGEOCM3EDqGZCRnPDqGZcRmPYQ6aPWxg6+HKCdFQ18K43MAAYWTLYGJkSmBizmBikgeanMAsx8DCmsHEwqnAypbAysHAxs7AyaXBxMmtwM3DwM2rwCuUwMuXwcTHn8Any8AvkMHEL8MgIJggKJTBJCiiICTMICLKICKmICauwSQmwSAhySAhxSAhzeDEBLSSjZGJmYWVjY2PX0BQiFe8ixERJQwKR0QeH7D14XMAcaYK7Drw584OexD70Lf+AxVdXGBxtae+B4oiN4LFcwUCDigteLkXxOZUmnTg3eLQ/SC2hdruA+znk8Di3A5PD9ya4wYWX2s++cDWJNEDILacwJ/9TKtTwOJhxgwHqlQkweLLA9X3J7wx2Adidy+R2//i6kqwXZfOK9iLbSoGq9+qJGFv/0wGrF5c6YP9/8N+YPZGFx8HlhUKYPaPfD+HqTGNYPUm53/Yr+fIBZt5SPWvfVzQIrCZ5wMnOtRPmgIW/xe6y0H+QQdYfVH6JIcr52aB1bQdC3II7voHZrs27nE4yfYdzPYoXurAtd0fHCZO/Zcd/tjJgsUlZj9ziJ+vCRbvPP3a/k7cdLB7Hqy22G/F5A1mMyV/3r/5BBtYjfzDvgNGLVlgthgA4bGVXovbnXcAAAL4elRYdE1PTCByZGtpdCAyMDI0LjAzLjQAAHicfVXLblMxEN33K/wDvZqn7Vn2JUCoiQSFbVcIFZUd/y/OOKlvKixuEimeHM+cM6+8vvx8/vHr97PyVcnny/3nlz9lPnJ/BTv95x0R5bsS0dVjyS/l9uHDp0O5e7q5fbPcHb8dnr4WlaKKO1T4Pfbm6fj4ZuHysVy3jaJK9yKbiBrh1kbjKTOMlLty7Vtnc7HCm5mJ2QKoCbTNovcm8MjVGskCaAnUTbgxMzxqd7cV0M9AZwK1a9qYjZovkPUU22ut7onsaq4rOe0sx7pxTSS5a1sh+ylDkEG1J7I178oLZJS71wxfidzgVDZVY6cFlCnj8xY1BJqTaShSv4JyOaYvaGdISa+BWq0IsJRD+qquHjQy1aS1toJqygKUQaFn9qV2W1LNOgEoHYXKK+EcWldIH0gPk05J1JyR1RUyC8Vbb5UQM2ur1HiJbJCkGwfXGOLRBOKr2nOHT3jCr90yt8RUta+QMaKHaZfRT6JsbYUUQpaARA4hjjfkiDVWQAZNNJ6x6GgnCeK+SqcIXKLxRCLaoAlhy8RLThJ8NmfJCgmB8aqWmMdjKg/V2pJu7x6rAkkWCLGDGrgBKNFjlUupgyQ3UvCFa8NoLkM3ACu6CLozgZVNljMsOUYNGqppboXqpL4Exkh5N2GLnKampLrKj9KphZtwTi66CN1OvBoMjGuOJhQT9lfkVqI6EP9Csz65vyo2GI5bBWNe1fzhcP9ulZ6W6+3xcL8v13zJvkINn7Yvyjzqvg4tTfvSYxx1Xq4D4Pv+4sTPzd7zx1L3VcTp4XLfGFzM2LlwcY6LzcHw2S/Wg+QlngGwBnhYJqOciHFxSsBYnyxTBcbXxtU9Uj9bphQk14azyV5G6hwVvpgvG+6nAknGsMj0LJlQBOSpQjJlCLhHl8G5w99Fq3NSkMue5gwoe+H62TKVokslA8pUOsqdlqlLR/Hxpzp1qZwtew/o2TI5Z1dd9lCe3/7c8f3qL+p5iGJNTFF3AAACCXpUWHRTTUlMRVMgcmRraXQgMjAyNC4wMy40AAB4nE2SO28UQRCE/wrhIc2N+jmPPhE5cWTILQfoRAYYIYf+8VTvIujg5qZru2a+rt3nx5c7/7xfni7Pjy8fHy6fPmPJ7bHk734519Jxl/vl4fu/J2WVlBnbD+8X7suEvV2tTyXVdoMyB1m7ahelye2mnTeP3a7SnUk8FRH31a7ciWlYu1l3Y4GLumzi1W7el+jRMbaeHdNZG3ehbXYcslUnhL3WOAyb5spa9top8CSVhkZzx7WjD85LCP8mJu02cdgwbdKHk3rSb9MlB4ey4biU5sQcuHgsxsWwy2IoaNrOW3E5tsPVd2o8BYZT4z12Iim8sGIcCOeca6vkYIiFSDEZNrplgSKz8+N8ZqOZCsYfY/hhVPNMGtogwmBpVONsQwiGN5JteKIT49+us/PAMSnO6Uv5bGRzAZoZsji6aGMwZCEnl3VDshMC7PMUBiQEOhCanJwIIrPR5f53QGIbaaKRWfk2HApEc86XkBDCIMsvBFERt4/t69vrjy+/X38F9dw+vb5967KC/1fsIaUaoaWaYcVH4aXiGKWSmKXSWKWy2KXy4AozgguNzOCKA9TKs4MLEGtwIWIOLkgswYUJ1sLEFFygLKQwIZGCtEIK0QgpQDOk8oQUHAqpAYUUGEVrodGQAqMUWmjYQmtC+/0P398g+sJowwEAAAKCelRYdHJka2l0UEtMMSByZGtpdCAyMDI0LjAzLjQAAHice79v7T0GIBAAYkYGCFAHYk0gbmBkZNAAiTOyOYBoZhZiaZg+QQYFEM3GABHmgNBM7BCamZDx7BCaGZfxGOag2cMGtp4FKwXTQykN9SKMyw0MRUa2DCZGpgQm5gwmJjWgcxKYVRlYWDOYWDgVWNkSWDkY2NgZOLk0mDi5Fbh5GLh5FXiFEnj5Mpj4+BP4VBj4BTKY+JUZBAQTBIUymARFFISEGUREGUTEFMTENZjEJBgkpBkkJBkklBgkpRgkFRgkFRmkpBmk5Bik5BmkZRikZRmcmIFOYWNkYmZhZWPj4xcQFOJlkZSSlhC/x4iIZAb1Lr1dB4IMmQ6AOGrd0w/Uvq/bD2JffRJ04Mr/LWA23zzeAzuDD+wDsfd3qBzgi+uyB7GlYxsOqDzbD2bXMyw+8O3NazsQ21ry4oHlbIlg8ZJL3Qcm6Ng6gNgfmvftr1rCDmYHRr7Z/+NuCpjNouCy996Bm2D1fTkt9o9C9cHibRfn2QnkV4HNjNjkup/DyhvsHi3+K/sYOATAblaNb7bnPqMFZkd+Y3MwWHsBrCZQ/IH9/IuGYDfnB5k6pCbGgs2/qJ7ssFiKGay+SajKQTEkAcz2MZ/ikODVCNbrqtnssH7nCbC9HAGHHEovbQOL824678Bn62EDYp889dch/955sPlHMj44dEe9AavZx/bYYW9cENjMAw78joEfIe48/FHUMfl/EFhN+jRWx5DsFrB7hEXuOmR93glmf5i02KEoQgrMZnq3xWHzLHOw3oiJ+/cX10LM7D1/Yr9BoTPYnBf9WftXLp4AZqv8sj6QsROiXgwAxz2y/yBLHfwAAAOAelRYdE1PTDEgcmRraXQgMjAyNC4wMy40AAB4nH1Wy25TMRDd9yv8A7mal+2ZJU0RIEQqQWHLCiEQ7Ph/ccY39U2FxU0jJZPjeZwzM+6vH9+/fvv5+6v1u5LPx4f3P/6U+cjDHez0n7+IKF+UiO4+lPxQ7l+/eXcp56dX98+W8+Pny9OnolGMcYYKv8S+enr88Gzh8rac6uacr3KSjdSk4dBG4ykzjpRzOdnWtXZt5URbRHWTBVITqZtEFe7lxJuxUe0LpCVSNmHpXdKn9tqQ97/IuiNrJ7dWeCMHE3UBbHuaxKwtgRYhzAtgT2DdKNQ567VGPVbleFLUtqqmmkDvQeQLYJTzr4ytLcxA2BYVDK2SRMDzIMbdiIFkDpC0QnJ5TCSqtt6KgoFGtorOUi5JIVl3F1TewUEskYqKOJUG2QjeNRqv5OHUB6Iw8WBGDCeWWQ55aIOKUnV8Aq11CW07FOVy96F+RUHLPDsqQp7S1EZvtuadlk4dTsEiefeWdDUl8SXzECm5qdR5dByjm+uqP4TAkmyuyrWl7CnAiiVhpAlhLJTqGCHzSkuXApe6BXV1yhGpVFlXaUrOkKEMRqZZEDF6btWdYmgQ9Hug9CRRQ2g5lZIatY0gUYvRfOKy7A9pA2mRheTvLHhWwJyhvgUaBLKkqFQjVgKJD2TFoHtc+xmlr5ABjjrqMeyZsUaguS7XTArkGDKM5d5IUEhWy0NzywWWC1cZ3eliQkukDJ9qIdB/nxFZCaQ5Qw1SIrsEAtZtpbkagBUDzmhe/N5Igpfl1AFsFSRaluPNfTmWWL9vh4DRmlw5cjTVCtp3aIUvHRJ1DJO1FdTH+sJe5ybV8xRLrOXUFAkpBihFs2WynVqs6n99eXhx4exX0P3j5eG4gvIlxz1jePfjMsmvetwYlqbjWmB81Ti2fwLqseM58X6scvxY2rGwOT3crmWDixmbM7FWpnfoxvA53aGBJQ/xvGCxMXlYZjmcKebBWQI24G6ZVUBlG0ePSH61zFKwuGw4m9nLoK5C45tNZMP9YcmMYdHjVBKKgDyrkKQMAY/oMnJ2+LtZCZwpyO3scwaUQzi/WmalGEbJgDIrHXKnZdalQ/yK0zczuFtmzhi2YdHjVPKMpOTok7pbdEbXdrUc0UfO/TaW7xadlWpcLbMuGzmDjcmP8W7RF11+29P5/flfMny++wtX9tlG0rRwlAAAAnF6VFh0U01JTEVTMSByZGtpdCAyMDI0LjAzLjQAAHicZZI9axxBDIb/Ssoz7A36HI20pHLjyklvXIQjXWKH4NI/PtJuiAXhuGX0rqR59GqfHp5v+HK7PF6eHp7v7i+fv9zd099zPf87ni/rf7ucz1Z6o9vl/se/N+1JJWMeP71frjjE56TtyoPWctz2KwxBQVvblQYpiG87DqDJUsqcy7adBsIy37J+MlCm8FBxxkoBWVqCg/GqzgqKvO2SuWhaRYAAqxTwagODnUBo2+cAI7LKEVpZpGOqgFbfNdfKFBuKdN69ZCqWAi5q5xAGWbWGK580NMW4cg66HA7UXbbdBxsqlbRICLyqWJxoSz4W5aIRz2mSD5CIcJbkOXmmiJJJ8SHirBFm+oBUZpmCHXeh8QGY7EkzM2klzUwDc2IEdEqJRHTKYTyI5YiY3Q3OVgUyNxrGnlvay5a1JAVEFzyENCER02Wb6dOeI6tBbiCLV2WkyYh8ILvTqfB0qS6uuupqTQc5s9OeCeZ10xzKwlzM5se2ss5Yc+gkdc9COioX5u/YOwulQ7UF17SxYFFgHkyebh8fUC4o7SqJco1Wzdh0sh8OOE7SVaVI7qdm+UXkNuqUkCrH1Jofw6nlhylzu9u+vb3+/Pr79VfAqOPj69v3wRr4EaEGtWgGt8hCPiKC0BZhzBZRWIs4VoskvN0ugQ2GLLDR0ApsOOSBjYdmYANiCGxEjIEdKcdsTEyBDYo5sFHhCmpU6EHdIw7qJmFQd4mCGlWWNiiEoAYlQY0prW9IidCIchENyII7T3DDgeDuUXC3aAV3i4IbDGfXRoMS3B2a738ANQlisawqfoUAAAAASUVORK5CYII=",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# We can display the atom mapping in 2D by calling it\n",
"kartograf_mapping"
]
},
{
"cell_type": "markdown",
"id": "de4592a7",
"metadata": {
"id": "de4592a7"
},
"source": [
"## 2.2. Creating a ligand network\n",
"\n",
"A `LigandNetwork` is a set of `SmallMoleculeComponent`s that are connected by `AtomMapping`s of two small molecules. \n",
"\n",
"The user can choose between multiple different network topologies:\n",
"* Minimial spanning tree (MST)\n",
"* LOMAP network\n",
"* Radial (star) network\n",
"* Loading in networks from external software (FEP+ or Orion)\n",
"* Loading in a user-defined network\n",
"\n",
"In this section, we will create and visualize the MST, LOMAP, and radial networks for the TYK2 dataset.\n",
"\n",
"Here, we will be using the `LomapAtomMapper` as the atom mapper for all networks."
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "5b89da93",
"metadata": {
"id": "5b89da93",
"scrolled": true
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"INFO:\tTrying to remove edge 0-2 with similarity 0.818731\n",
"INFO:\tChecking edge deletion on distance-to-actives 0 vs 0\n",
"INFO:\tRemoved edge 0-2\n",
"INFO:\tTrying to remove edge 2-6 with similarity 0.860708\n",
"INFO:\tRejecting edge deletion on cycle covering\n",
"INFO:\tTrying to remove edge 0-1 with similarity 0.904837\n",
"INFO:\tRejecting edge deletion on cycle covering\n",
"INFO:\tTrying to remove edge 0-6 with similarity 0.904837\n",
"INFO:\tRejecting edge deletion on cycle covering\n",
"INFO:\tTrying to remove edge 1-2 with similarity 0.904837\n",
"INFO:\tRejecting edge deletion on cycle covering\n",
"INFO:\tTrying to remove edge 1-6 with similarity 0.951229\n",
"INFO:\tChecking edge deletion on distance-to-actives 0 vs 0\n",
"INFO:\tRemoved edge 1-6\n",
"INFO:\tTrying to remove edge 8-3 with similarity 0.904837\n",
"INFO:\tChecking edge deletion on distance-to-actives 0 vs 0\n",
"INFO:\tRemoved edge 8-3\n",
"INFO:\tTrying to remove edge 9-3 with similarity 0.904837\n",
"INFO:\tRejecting edge deletion on cycle covering\n",
"INFO:\tTrying to remove edge 3-7 with similarity 0.904837\n",
"INFO:\tRejecting edge deletion on cycle covering\n",
"INFO:\tTrying to remove edge 8-7 with similarity 0.951229\n",
"INFO:\tRejecting edge deletion on cycle covering\n",
"INFO:\tTrying to remove edge 8-9 with similarity 0.951229\n",
"INFO:\tRejecting edge deletion on cycle covering\n",
"INFO:\tTrying to remove edge 9-7 with similarity 0.951229\n",
"INFO:\tChecking edge deletion on distance-to-actives 0 vs 0\n",
"INFO:\tRemoved edge 9-7\n"
]
}
],
"source": [
"# Create network from the two molecules\n",
"import openfe\n",
"from openfe.setup.ligand_network_planning import generate_radial_network\n",
"from openfe.setup.ligand_network_planning import generate_minimal_spanning_network\n",
"from openfe.setup.ligand_network_planning import generate_lomap_network\n",
"from openfe.setup import LomapAtomMapper\n",
"\n",
"# Create an MST network\n",
"mst_network = generate_minimal_spanning_network(\n",
" ligands=ligand_mols,\n",
" scorer=openfe.lomap_scorers.default_lomap_score,\n",
" mappers=[LomapAtomMapper(),])\n",
"\n",
"# Create a LOMAP network\n",
"lomap_network = generate_lomap_network(\n",
" molecules=ligand_mols,\n",
" scorer=openfe.lomap_scorers.default_lomap_score,\n",
" mappers=[LomapAtomMapper(),])\n",
"\n",
"# Create a radial, choosing the first ligand as central ligand\n",
"radial_network = generate_radial_network(\n",
" ligands=ligand_mols[1:],\n",
" central_ligand=ligand_mols[0],\n",
" mappers=[LomapAtomMapper(),])"
]
},
{
"cell_type": "markdown",
"id": "41cd9718-0c2e-4b59-86ee-8dc429915de1",
"metadata": {},
"source": [
"We can plot out the different networks to visualize their structure and to see how ligands are being tranformed."
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "f4e3ac10-236b-4ff4-a69e-600706288164",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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bG2txNdbYsmULffv2BeDNN9+kc+fOFlckIqlJAVBEXE6TJk3IlCkTZ8+eZceOHVaXk+p++ukn2rVrx61bt3j66acZNWqU1SWJSCpTABQRl+Pt7U3r1q0B19sbOCIiglatWnHp0iUqV67MnDlzcHPTXwUirkb/qxcRlxQ3G9iVuoFv375Nx44dOXLkCHnz5iUkJARfX1+ryxIRCygAiohLaty4Mf7+/pw/f56wsDCry0kVr7zyCuvWrcPX15eVK1fyxBNPWF2SiFhEAVBEXJKXlxdt2rQBXGM28LRp0/joo48AmDdvHhUrVrS4IhGxkgKgiLisuG7gpUuXcufOHYurSTnr169nwIABAIwbN4527dpZXJGIWE0BUERcVsOGDcmaNSu//fYbW7dutbqcFHH06FGefvpp7ty5Q7du3RgyZIjVJYlIGqAAKCIuy9PTk7Zt2wLO2Q186dIlWrZsSUREBLVq1WL69OnYbDaryxKRNEABUERcWlw38LJly7h9+7bF1SSfmJgY2rdvz08//UShQoVYsWIFXl5eVpclImmEAqCIuLQGDRqQLVs2Ll68yObNm60uJ1nY7Xb69+/P5s2byZQpE6tWrSJHjhxWlyUiaYgCoIi4tAwZMvw9KcJZuoE/+OADZs2ahZubGwsXLqR06dJWlyQiaYwCoIi4vLi9gZ2hG3j16tUMGjQIgIkTJ9K8eXOLKxKRtEgBUERcXr169QgICODSpUt8++23VpeTaAcOHOCZZ57BbrfTt29fBg4caHVJIpJGKQCKiMvz8PCgffv2QPrdG/jChQu0atWKq1ev0qBBAz766CPN+BWRh1IAFBEhfjbw8uXLuXXrlsXVJMyNGzdo27Ytp0+fpmjRoixZsoQMGTJYXZaIpGEKgCIiQN26dcmZMydXrlwhNDTU6nIcZrfb6dWrF9u3bydLliysXr2abNmyWV2WiKRxCoAiIoC7uzsdOnQA0tds4HHjxrFgwQLc3d1ZunQpxYoVs7okEUkHFABFRP4S1w28YsUKYmJiLK7m8ZYuXcqIESMA+Pjjj3nqqacsrkhE0gsFQBGRv9SuXZvcuXPz559/sn79eqvLeaTdu3fTrVs3AAYOHMjzzz9vcUUikp4oAIqI/MXd3Z2nn34aSNvdwL/++iutW7fm+vXrNGvWjIkTJ1pdkoikMwqAIiJ3iesG/vLLL7l586bF1fzTtWvXCAoK4ty5c5QsWZKFCxfi7u5udVkiks4oAIqI3KVmzZo88cQTREZG8s0331hdzj1iY2Pp1q0be/fuJSAggNWrV5M5c2aryxKRdEgBUETkLm5ubmm2G/jNN99k+fLleHp6smLFCv71r39ZXZKIpFMKgCIi94nbGzgkJITr169bXI3x+eefM27cOABmzJhB7dq1La5IRNIzBUARkftUq1aN/Pnzc/Xq1TTRDfzdd9/Rq1cvAIYMGfL37F8RkcRSABQRuc/d3cBW7w186tQp2rRpQ0xMDG3btmXs2LGW1iMizkEBUETkAeJmA69atYro6GhLaoiMjKRVq1b8/vvvlC9fnnnz5uHmpj+2RSTp9CeJiMgDVK1alYIFC3Lt2jXWrl2b6u+/c+cOnTt35uDBg+TOnZtVq1aRMWPGVK9DRJyTAqCIyAPYbLa/WwGt6AYePHgwa9aswdvbm5UrV5IvX75Ur0FEnJcCoIjIQ8QFwNWrV3Pt2rVUe++MGTP44IMPAJg7dy5VqlRJtXeLiGtQABQReYhKlSrx5JNPcv36ddasWZMq7/z222/p378/AKNHj/47hIqIJCcFQBGRh7i7Gzg1FoU+ceIE7du35/bt2zzzzDO8+eabKf5OEXFNCoAiIo8QFwDXrFlDVFRUir3nypUrtGzZkitXrlCtWjVmzZqFzWZLsfeJiGtTABQReYTy5ctTpEgRbty4werVq1PkHbdu3eLpp5/m+PHj5M+fny+//BIfH58UeZeICCgAiog8ks1m+3truJToBrbb7QwYMIDQ0FAyZszIqlWryJ07d7K/R0TkbgqAIiKPEdcNvHbtWiIjI5P12VOnTuV///sfNpuNBQsWUK5cuWR9vojIgygAiog8RpkyZShevDg3b95k5cqVyfbcr7/+mldeeQWA999/n6CgoGR7tojIoygAiog8RkrMBj58+DCdOnUiNjaW5557jkGDBiXLc0VEHKEAKCLigLhxgIcPH07ybOArV67wxhtvULhwYXr16sWnn36qGb8ikqpsdrvd/riLIiMj8ff3JyIigsyZM6dGXSIiaU7Dhg1ZtWqVZuiKSJqUkLymFkAREQc9/fTTCn8i4hQUAEVEHNS4cWOrSxARSRYKgCIiDvrXv/5ldQkiIslCAVBERETExSgAioiIiLgYBUARkWRSrx68/LL5XKgQfPhh6r171CgoXz713ici6ZsCoIhICti1C/r2Tb33DRoEoaEp+46gIChQALy9IU8e6NoVzp2795qBA6FSJfDyUiAVScsUAEVEUkCOHODrm3rv8/OD7NlT9h3168PixXDsGCxbBj/9BB063HuN3Q49e8Jf62aLSBqlACgikgLu7wI+ehRq1zatZyVLwoYNYLPBl1869rxffzWhKmtWE/Rat4ZTp+K/v78LuEcPaNMGxo2DXLkgSxYYPRpu34bBgyFbNsiXD2bPdvxneuUVqF4dChaEmjVhyBDYsQNu3Yq/ZsoUeOEFePJJx58rIqlPAVBEJIXFxpow5usLO3fC9OkwfLjj90dHm9Y3Pz/YsgW2bTOfmzaFmJiH37dxo+mi3bIFJk0yIbFlSxMid+6Efv3MceZMwn+my5dh/nwTBDNkSPj9ImItBUARkRS2bp3pLg0OhnLlTEvg2LGO379wIbi5wcyZUKYMlCgBn30Gp0/Dpk0Pvy9bNtMiV7y46ZYtXtyEyWHDoGhRGDoUPD0hLMzxWt54AzJmNK2Qp09DSIjj94pI2qEAKCKSwo4dg/z5IXfu+HNVqzp+/549EB4OmTKZlj8/PxPubtwwwfJhSpUywTFOrlwmQMZxdzdB7uJFx2sZPBh++MGEWnd36NbNjPsTkfTFw+oCREScnd1uxvslVmysmVk7f/4/v8uR4+H33d81a7M9+FxsrOO1BASYo1gx0xKZP78ZB1ijhuPPEBHrKQCKiKSwwEDTXXrhgmmFA7NMjKMqVoRFiyBnTsicOWVqTIy4lr+bN62tQ0QSTl3AIiIprFEjKFwYuneHAwfMmLu4SSCOtAx26WJa3Vq3hq1b4eefYfNms+be2bMpW3uc77+Hjz6Cffvgl1/g22+hc2fzc93d+hcebq757Te4ft183rfv0ZNVRCT1KQCKiKQwd3ez3MvVq1ClCvTuDSNGmO+8vR9/v6+vmclboAC0a2e6Xnv2NAErtVoEfXxg+XJ46qn4SSWlS5sg6uUVf13v3lChAnz6KRw/bj5XqPDPBaNFxFo2u/3xw3cjIyPx9/cnIiKCzGmp/0FEJBUdPnyYkiVLJsuzwsLMbODwcNOKllRDh5rWwW3bkv4sEUmfEpLXNAZQROQxtm7dytixY7l48SJ79+5N1DNWrDCzd4sWNaFv4ECoVSvp4c9uh5MnzTZwFSok7Vki4jrUBSwi8gB2u52vv/6aOnXq8O9//5tvvvkGd3f3RD8vKgr69zcTQnr0MF3BcWvojRsXv7zL/UezZo9+bkSE2VnE09Os75dYSalBRNIfdQGLiNwlNjaWkJAQxo4dy549ewDw9PTkueeeY8SIEeTLly/Z33n5sjkexMcH8uZN9lemyRpEJGnUBSwikkC3b99m0aJFvPvuuxw6dAgAX19fnn/+eV577TXypmACypbNHFZKCzWISOpRABQRl3bz5k2Cg4N57733OHnyJAD+/v68+OKLvPzyywQEBFhcoYhI8lMAFBGXFB0dzYwZM/i///s/fv31VwACAgJ49dVX6d+/P/7+/hZXKCKSchQARcSlRERE8PHHH/PBBx/wxx9/AJA3b14GDx5Mnz598PX1tbhCEZGUpwAoIi7hjz/+4MMPP+Sjjz4iIiICgCeffJIhQ4bQrVs3vO5ezVhExMkpAIqIUzt37hwTJkzg008/JTo6GoCSJUsybNgwOnXqhIdH6v0xGBUVxZAhQ9i+fTs2m40BAwbQrVs3bI7sBycikoy0DqCIOKWff/6Zfv368a9//YsPPviA6OhoKlWqxPLly/nxxx/p0qVLqoY/gEyZMjF58mRq1KjB3r176dGjB7179yZGG+WKSCpTABQRp3LkyBG6detG0aJF+fTTT4mJiaF27dqsXbuWXbt20bZtW9zcrPujz8PDg48//pgpU6bg5ubG7NmzadKkCZcftgifiEgKUAAUEafwww8/8PTTT1OqVCnmzZvHnTt3aNKkCVu2bGHr1q00bdo0TXW1vvTSS6xatYpMmTKxadMmqlevzokTJ6wuS0RchAKgiKRrYWFhNG/enIoVK7J06VLsdjtt27Zl165df2/lllY1b96csLAwChQowIkTJ6hWrRqbNm2yuiwRcQEKgCKS7tjtdtavX0+9evX+7t51c3OjS5cuHDx4kOXLl1O5cmWry3RImTJl+P7776lWrRpXrlyhUaNGzJ492+qyRMTJKQCKSLoRt09v9erVady4MZs3byZDhgz06dOH48eP8/nnn1OqVCmry0ywXLly8e2339KpUydu375Nr169eOONN4iNjbW6NBFxUgqAIpLm3blzhy+++IJy5crRpk0bvv/+e3x8fBg4cCAnT55k+vTpFC5c2Ooyk8THx4cFCxbw5ptvAjB+/Hg6dOjAtWvXLK5MRJyRzW632x93UWRkJP7+/kRERJA5c+bUqEtEhJiYGObNm8d7771HeHg4YJZSidunN2fOnBZXmDLmz59Pz549iYmJoWLFiqxcuZK8efNaXZaIpHEJyWtqARSRNOf69etMnTqVIkWK0Lt3b8LDw8mePTvvvPMOp0+fZty4cU4b/gC6dOnCxo0bCQgIYO/evVStWpW9e/daXZaIOBEFQBFJMyIjI3n//fcpVKgQAwYM4MyZM+TJk4eJEydy6tQpRowYQZYsWawuM1XUqlWLnTt3UrJkSc6dO0edOnUICQmxuiwRcRIKgCJiuUuXLjFy5EgKFizIkCFDuHjxIoUKFeKTTz7h5MmTvPrqq/j5+VldZqp78skn+e6772jcuDHR0dG0bduWCRMm4MDIHRGRR1IAFBHL/PbbbwwePJiCBQvy9ttv8+effxIYGMjcuXM5fvw4/fr1w9vb2+oyLeXv78+aNWv473//i91uZ/DgwfTp00fbx4lIkigAikiq++WXX3jhhRcoVKgQEyZM4Nq1a5QvX54lS5Zw8OBBunXrRoYMGawuM82I2z5u8uTJuLm5MWvWLJo2bart40Qk0dJ0AKxXD15+2XwuVAg+/DD5nm2zwZdfJt/zROTxjh07xnPPPUeRIkWYNm0aN2/epGbNmqxZs4a9e/fSoUMH3N3drS4zTbLZbAwYMICVK1fi5+fHt99+S40aNbR9nIgkSpoOgHfbtQv69k2+550/D82aJd/zEuLyZXjpJSheHHx9oUABGDAAIiLir9m0yYTUBx27dllTt0hi7d+/n06dOlGiRAnmzJnD7du3adiwId9++y3btm2jefPmaWqf3rSsRYsWf28fd/z4capXr87mzZutLktE0pl0EwBz5DBhKbnkzg1eXsn3vIQ4d84cEybAjz/CnDnw9dfQq1f8NTVrmpB699G7t2kJTSc7XImwY8cOWrVqRfny5Vm8eDF2u52goCB27tz591ZuCn4JV7ZsWXbu3EnVqlW5fPkyjRo14rPPPrO6LBFJR9JNALy/C/joUahdG7y9oWRJ2LAhYd26d1976pT5/eLFUKcO+PhAlSpw/LhpbatcGfz8oGlT+P33e58zezaUKmXCZJ488OKLj3936dKwbBm0agWFC0ODBjB2LKxaBbdvm2s8PU1IjTuyZ4eVK6FnT1OrSFplt9vZuHEjTz31FDVq1GD16tW4ubnxn//8h/379xMSEkLVqlWtLjPdy507N5s2baJjx47cunWLnj17MmTIEG0fJyIOSTcB8G6xsdCmjWkR3LkTpk+H4cOT/tyRI2HECNi7Fzw84Jln4PXXYfJk2LoVfvoJ3nor/vpPPoEXXjBd0z/+aAJakSKJe3dEBGTObN77ICtXwh9/QI8eiXu+SEqz2+2sXr2amjVr8tRTT7Fx40Y8PDzo2bMnR48e5YsvvqBs2bJWl+lUfHx8+OKLLxgxYgQA77//vraPExGHPCRupG3r1pkwtmmTaR0D04LWqFHSnjtoEDRpYj4PHGgCYGgo1KplzvXqZbpr44wZA6+9Zq6NU6VKwt976RK88w48//zDr5k1y9SWP3/Cny+Sku7cucOyZcsYN24c+/fvB8Db25vevXszePBgChQoYHGFzs3NzY133nmH4sWL06tXL1asWEHdunVZuXIlTzzxhNXliUgalS5bAI8dM0EoLvwBJEeP0t2NE7lymV/LlLn33MWL5vPFi2Yc31NPJe2dkZHQooXpxh458sHXnD0L33xz7xhBEavdunWLOXPmUKpUKTp16sT+/fvx8/Pj9ddf59SpU0ydOlXhLxU9++yzhIaGEhAQwJ49e6hatSo//PCD1WWJSBqVLlsA7faUGQd397Jjcc+//1zc8Bofn6S/LyrKjCv084MVK+59190++8yMAQwKSvo7RZLq5s2bhISEMHfuXM6fP4+vry9169blmWee4T//+Q/+/v5Wl+iyateuzc6dO2nRogVHjx6ldu3afPHFFwTpDw8RuU+6DICBgXD6NFy4EN9Sl9pLo2TKZCamhIZC/foJvz8y0nTpenmZ8X0P2+zAbjcBsFu3hwdEkdTk5eVFx44d6dixo9WlyAM8+eSTbN++nY4dO7J+/XratGnD+PHjee211zTjWkT+li67gBs1MrNnu3eHAwcgLCx+Ekhq/vk2ahRMnAhTpsCJE2byyNSpj78vKgoaN4Zr18zYvshI+O03c9y5c++1GzfCzz+r+1dEHJclSxbWrFlDv379/t4+rm/fvty6dcvq0kQkjUiXAdDd3SzhcvWqmXTRu7eZvQsPb0lLCd27m6Vppk0zS8G0bGmC4OPs2WNmL//4o5k1nCdP/HHmzL3Xzppl1gQsUSJFfgQRcVIZMmRg2rRpfPjhh7i5uTFz5kyaNm3KlStXrC5NRNIAm91utz/uosjISPz9/YmIiCBz5sypUVeChYWZdQHDw03r4KPcvGmC4vr10LBh6tQnImKVNWvW8J///IerV69SrFgx1qxZQ5HErlklImlWQvJaumwBBDNpYv16s4jzhg1mLb5atR4f/iIj4YsvwM3NjCUUEXF2cdvH5c+fn+PHj1OtWjW2bNlidVkiYqF0GwCjoqB/fxPievQwXcEhIea7cePMzNoHHa1bwxtvwPvvQ758KVPb/PkPf3+pUinzThGRRylbtizff//939vHNWzYkDl3L2wqIi7FabqA73b5sjkexMcH8uZN2fdHRZkZyg+SIQMULJiy7xcReZjr16/TvXt3lixZAsCQIUMYO3Ysbm7ptj1ARP6SkLzmlAFQxNnVqwfly5tJSIUKwcsvmyM1jBplJmHt25c675PkFxsby8iRIxkzZgwA7dq1Y968efj6+lpcmYgkhUuMARQRY9cuMwY2tQwaZNa/TA03b5qga7M9OHDOmWN28PH2NjsDvfhi6tSV3sVtHxccHIynpyfLly/n3//+N+fOnbO6NBFJJQqAIulcjhyQmg03fn5mZ5rU8Prr8LDtbCdNMut/DhkChw6ZUBq3l7c4pmvXrmzYsIHs2bOzZ88eqlWrxj417Yq4BAVAkXSuUCHTFRzn6FGzJJK3t9ljesMG04L25ZeOPe/XX6FTJ8ia1QS91q3NbPs4o0aZVrk4PXpAmzZm8lWuXJAlC4weDbdvw+DBkC2bmXA1e3bCfq61a2HdOpgw4Z/fXbli1v4MDobOnc3s/1KloFWrhL1DoE6dOuzcuZPAwEDOnj1L7dq1WblypdVliUgKUwAUcSKxsSaM+fqaxcanT4/fJccR0dFma0M/P9iyBbZtM5+bNoWYmIfft3EjnDtn7pk0yYTEli1NiNy5E/r1M8f9C50/zIUL0KcPzJv34NbN9evNz/rrr2aR9Hz5oGNHx58v9ypcuDDbt2+nYcOGXLt2jTZt2jBx4kQcGCIuIumU0wbA8+fPM2LECCpWrEjFihWpXr06kydPJioqyurSRFLMunXw00+mZaxcOdMSOHas4/cvXGjWyJw5E8qUMeHqs8/M3tubNj38vmzZzJaIxYtDz57m1+hoGDYMihaFoUPB09Ms2P44drtpVezXDypXfvA1J0+aADhunGn9XLrUzPxv1OjRQVUeLkuWLHz11Vc8//zz2O12Bg0aRL9+/bR9nIiTctoAmCdPHsaMGcOMGTPIkiULO3fu5OWXX6ZQoUJMnjyZGP0tIU7o2DHIn99MiIhTtarj9+/ZY3bTyZQpfu3KbNngxg0TLB+mVCkTHOPkymUCZBx3d9OdfPHi42uYOtUs2D506MOviY2FW7dM6GzSBKpXNwu8nzgB3377+HfIg2XIkIFPPvmESZMmYbPZmD59Os2aNdP2cSJOyGkDYJxKlSoRGhrK6tWrKVmyJJcvX+bll1+mZMmSLFmyRF0c4lTsdjPeL7FiY6FSJTPj9u7j+HEz1u5hMmS49/c224PPxcY+voaNG2HHDvDyAg8Ps182mNbA7t3N5zx5zK8lS8bflyMHBASY1kpJPJvNxiuvvEJISAgZM2YkNDSUGjVqEB4ebnVpIpKMnD4AgvkDrUWLFuzfv5/p06eTK1cufvrpJzp27EitWrX47rvvrC5RJFkEBpoAdPdC5Lt2OX5/xYqmFS1nThO87j78/ZO/3geZMgX2748Pn199Zc4vWhTfnV2rlvn12LH4+y5fhj/+0ELryaVVq1aEhYWRL18+jh07pu3jRJyMSwTAOB4eHvTp04fw8HBGjhyJr68v27dvp1atWrRv354TJ05YXaJIkjRqZGbEdu8OBw6YMXdxk0AcaRns0sW0orVuDVu3ws8/w+bNMHAgnD2bsrXHKVAASpeOP4oVM+cLF47fvrFYMVPjwIHw3Xdw8KD5mQMDzSQWSR7lypXj+++/p0qVKn9vHzd37lyryxKRZOBSATCOn58fo0aNIjw8nD59+uDm5sby5cspWbIkL730Er///rvVJYqLS+zQBHd3s9zL1atmf+zevc1yKWCWhXkcX18zk7dAAWjXzkwC6dkTrl+HtLYJUHAwVKsGLVpA3bqmy/nrr//Z9SxJkydPHjZt2kSHDh24desWPXr0YNiwYcQ60p8vImmWtoIDDh06xOuvv85Xf/U1Zc6cmaFDhzJw4EB8fHwsrk5cyS+//MLnn3/O7t27WbFiRbI8MyzMzAYODzetaEk1dKhpHdy2LenPkvQjNjaWt956i7F/9cN36NCBuXPnavs4kTREW8ElUKlSpVizZg2hoaFUqFCByMhIhg4dSvHixQkODta/dCVFRUVFMWfOHBo0aEChQoUYMWIEv/zyS6Kft2KFWSfv1CmzCHTfvmbMXFLDn91uZgKHhppZv+Ja3NzcGDNmDHPnziVDhgwsXbqUunXrcv78eatLE5FEUAC8S4MGDdi9ezfBwcHkz5+fM2fO0L17dypXrkxoam1+Ki7hzp07rF+/nmeffZZcuXLx3HPP8e1f65fUr1+fUaNGJfrZUVHQv78ZD9ejh+kKDgkx340bF7+8y/1Hs2aPfm5EhJl16+lp1vdLrKTUINbr1q0boaGhZM+end27d1O1alX2799vdVkikkDqAn6I69evM2XKFMaNG0dkZCQAzZo1Y/z48ZQuXdri6iS9OnToEMHBwXz++eecO3fu7/PFihWjW7duPPvssxRMwWmsly+b40F8fCBv3hR7dZqqQZIuPDycli1bcuzYMTJmzMgXX3xBK+3FJ2KphOQ1BcDH+OOPP3j77bf55JNPuH37Nm5ubjz33HO8/fbbPPGwXepF7nLx4kW++OILgoOD2bt379/ns2bNyjPPPEO3bt2oWrUqtqQs4CdigStXrvD0008TGhqKzWZjwoQJvPLKK/pvWcQiCoAp4MSJEwwdOpRly5YB4Ovry6BBgxg8eDB+fn4WVydpzY0bN1i9ejXBwcGsXbuW27dvA2YpohYtWtCtWzdatGiBl5eXxZWKJM2tW7d48cUXmT59OgB9+/blo48+IoOmY4ukOgXAFPTdd98xaNAgtm/fDkCuXLkYPXo0vXr1wsPDw+LqxEp2u50dO3YQHBzMwoUL+fPPP//+rnLlynTv3p3//Oc/BAQEWFekSAqw2+188MEHDBo0CLvdzlNPPcWSJUvImjWr1aWJuBQFwBRmt9tZtmwZQ4YM4ae/NkgtUaIE48ePp0WLFur+cDGnTp1i3rx5BAcH37NdVt68eenatStdu3al5N17lok4qVWrVvHMM89w7do1AgMDWb16NYWTY+0hEXGIAmAqiYmJ4X//+x9vv/02ly5dAqBevXpMmDCBSpUqWVydpKTIyEiWLl3K3Llz79keK2PGjLRv355u3bpRr1493N3dLaxSJPXt27ePVq1acfbsWbJnz86KFSuoU6eO1WWJuAQFwFT2559/8u677zJ58mRu3rwJQOfOnRk7diyFChWytjhJNrdv32bDhg0EBwezYsUKbty4AZi9phs0aEC3bt1o166dxoSKyzt//jxBQUHs3r2bDBkyMHPmTLp162Z1WSJOTwHQIr/88gsjRozg888/B8DLy4sBAwYwbNgwsmTJYm1xkmg//vgjwcHBzJ8//55FbwMDA+nevTtdunQhf/78FlYokvZER0fTrVu3vyfODR8+nLfffhs3Ny0/K5JSFAAttmfPHgYPHvz3wr7ZsmXjzTffpH///nh6elpcnTjiwoULLFiwgODgYPbt2/f3+ezZs/+9dEvlypU13lPkEWJjYxkxYgTvvvsuoO3jRFKaAmAaYLfb+eqrr3j99dc5fPgwAE8++STvvfceHTp0UHBIg27cuMHKlSsJDg7m66+/5s6dOwBkyJCBli1b0r17d5o1a6YQL5JAc+fOpU+fPty6dYsqVaoQEhJCnjx5rC5LxOloL+A0wGaz0aJFC/bv38/06dPJlSsXJ0+epGPHjtSsWZOwsDCrSxRMUA8LC6Nv377kzp2bTp06sWbNGu7cuUO1atX4+OOPOX/+PMuXL6d169YKfyKJ0L17dzZs2EC2bNnYtWsX1apVS9D2cfXqwcsvm8+FCsGHH6ZAkQ8xahSUL5967xNJLQqAKczDw4M+ffoQHh7OyJEj8fX1ZceOHdSuXZt27dpx/Phxq0t0SSdPnmT06NEUKVKE2rVrM2PGDCIiIsifPz/Dhg3jyJEj7Nixg/79+5M9e3aryxVJ9/7973+zc+dOihcvzpkzZ6hduzarV69O8HN27YK+fVOgwIcYNAhSeiv4QoXAZrv3GDLk3mtOn4ZWrSBjRggIgAEDICYmZesS56Yu4FR2/vx5Ro4cyaxZs4iNjcXDw4N+/frx1ltvkSNHDqvLc2oREREsWbKEuXPnsm3btr/P+/n50aFDB7p160bdunU1SF0kBV25coUOHTqwceNG3NzcmDhxIgMHDnzksJh69UwrXGq2/KWmQoWgVy/o0yf+nJ+fOQDu3DE/f44cMHEiXLoE3btDu3YwdaoVFUtalaC8ZndARESEHbBHREQ4crk44ODBg/bmzZvbATtgz5w5s33cuHH26Ohoq0tzKrdu3bKvWbPG3qlTJ7u3t/ff//e22Wz2Ro0a2efNm2e/evWq1WWKuJSYmBh7nz59/v7f45gxYx55fd26dvvAgeZzwYJ2+wcfxH935IjdXquW3e7lZbeXKGG3r19vt4PdvmKFY7WcPWu3d+xot2fJYrdny2a3BwXZ7T//HP/9yJF2e7ly8b/v3t1ub93abh871m7PmdNu9/e320eNsttv3bLbBw2y27Nmtdvz5rXbZ81y7P0P+pnu99VXdrubm93+66/x5774wvzM+mtZ7paQvKamDouUKlWKNWvWEBoaSoUKFYiMjGTYsGEUL16c4OBgYmNjrS4xXdu/fz+vvfYa+fLlo0WLFixatIgbN25QsmRJ3n//fU6fPs26det49tlnyZgxo9XliriUDBky8OmnnzJx4kRsNtvfS8UkVGwstGkDvr6wcydMnw7Dhzt+f3Q01K9vWtq2bIFt28znpk0f3b26cSOcO2fumTTJjBNs2RKyZjV19OtnjjNnHK/l/fche3bT0jd27L3v374dSpeGJ56IP9ekCdy8CXv2OP4OkbspAFqsQYMG7N69m3nz5lGgQAHOnDlD9+7dqVSpEhs2bLC6vHTl/PnzTJw4kXLlylG+fHkmTZrEhQsXCAgIYMCAAezevZuDBw/y+uuvky9fPqvLFXFpNpuNV199lS+//BIfH59EPWPdOvjpJwgOhnLloHZtE54ctXAhuLnBzJlQpgyUKAGffWbG223a9PD7smWDKVOgeHHo2dP8Gh0Nw4ZB0aIwdCh4eoKjc/0GDjS1fPstvPii6eru3z/++99+g1y57r0na1bzjt9+c/znFbmbh9UFCLi5ufHss8/Svn17pkyZwrhx49i3bx+NGjWiWbNmjB8/ntKlS1tdZpp048YNNm/ezOrVq9m+fTuxsbG4u7tTtWpV6tatS8uWLalRowYZMmSwulQReYCgoCCKFSuWqHuPHYP8+SF37vhzVas6fv+ePRAeDpky3Xv+xg0TLB+mVCkTHOPkymVa6OK4u5vWvIsXHavjlVfiP5cta8Jdhw7xrYJgJobcz25/8HkRRygApiE+Pj688cYb9OrVi3feeYdp06axdu1avvnmG5577jnefvttnri7D0Dw9vamSZMmNGnSxOpSRCSRAgMDE3VfUgNQbCxUqgTz5//zu0fNybv/35M224PPJXYkT/Xq5tfwcBMAc+c2Xct3u3IFbt36Z8ugiKPUBZwGBQQEMHnyZI4cOUKHDh2IjY1l1qxZFC1alJEjR3L16lWrSxQRsVxgoOmuvXAh/tyuXY7fX7EinDgBOXNCkSL3Hv7+yV+vo374wfwat1Z2jRpw8CDctRMl69aBl5cJsCKJoQCYhhUpUoQlS5YQFhZGjRo1iI6O5u2336ZIkSJ8+umn3L592+oSRUQs06gRFC5slkQ5cMCMuYubBOJIy2CXLmZNvdatYetW+Pln2LzZjMk7ezZla4+zfTt88AHs22fev3gxPP88BAVBgQLmmsaNoWRJ6NrVhMPQULM+YZ8+oJXZJLEUANOBuJ1Dli5dSpEiRbhw4QL9+vWjbNmyrF69Gvvjl3IUEXE67u7w5Zdw9SpUqQK9e8OIEeY7b+/H3+/ra2byFihg1tQrUcJM6rh+PfWClZcXLFpk1josWRLeessEuy++iL/G3R3WrDE/U61a0LGjmf08YULq1CjOSQtBpzMxMTH873//4+233+bSpUsA1KtXjwkTJlBJfQEi4uLCwsxs4PBw0zqYVEOHmtbBu9aOF0mztBewE/P09GTAgAGEh4fzxhtv4OXlxaZNm6hcuTJdunTh1KlTVpcoIpJqVqyA9evh1CnYsMFsE1erVtLDn91uZgKHhppZvyLORgEwncqSJQvvvfcex44d49lnnwVgwYIFBAYG8vrrr/Pnn38m+R0puQG7zWa6bkREkiIqyqyZFxgIPXqYruCQEPPduHHxW6rdfzRr9ujnRkSYLllPT7O+X2IlpQaRlKQuYCexd+9eBg8ezMaNGwHIli0bb775Jv3798fT0zNRz7x7/83ffzebkPv6Jk+9v/1m1rry8kqe5yXE5cswcqSZRXfmjBkE3qYNvPPOvTP/goLMwOyLF02tDRuadbm0Eo9I+nD5sjkexMcH8uZ1jRrEdSQkrykAOhG73c7atWsZPHgwhw8fBuDJJ5/kvffeo0OHDo/cbP1BnHUD9oMHTQDs0cP8C/+XX8y2TWXLwtKl8dd98IFZfiFPHvj1VzPrDuC77ywpW0RE5JE0BtBF2Ww2mjdvzv79+5k+fTq5c+fm5MmTdOzY8e+ZxIl1fxfw0aNmoLW3twlRGzYkrFv37mtPnTK/X7wY6tQx/yquUgWOHzdrelWuHL8/5++/3/uc2bPN+BwvLxPUXnzx8e8uXRqWLYNWrcw4oQYNzPZRq1bB3SvrvPKKWZC1YEGoWROGDIEdO8ziqyIiIumZAqAT8vDwoE+fPpw4cYJRo0bh6+vLjh07qF27Nu3ateP48eNJen5SN2B/mJEjzRIOe/eChwc88wy8/jpMnmxm4f30k1kiIc4nn8ALL5hB3z/+CCtXmgVcEyMiwiz74PGQvXEuXza7BdSs+c8V/0VERNIbBUAn5ufnx8iRIwkPD6dPnz64ubmxYsUKSpUqxYsvvsiVK1cS9dykbsD+MIMGQZMmZi2ugQNNEHzzTTOjr0IF6NXLbJYeZ8wYeO01c22xYqbVMG7SSkJcumTG/z3//D+/e+MNM/Yxe3az40Dc4HIREZH0TAHQBeTJk4fp06dz4MABWrRowe3bt/n4448JCgpK1POSugH7w5QtG/85bn/LMmXuPRe3ufrFi3DuHDz1VNLeGRkJLVqYbuyRI//5/eDBZuX9devMYqzdupnlIURERNIzBUAXUqpUKVavXk1oaCgVKlTg2rVriXpOUjdgf5i7u1bjnn//ubjN1X18kv6+qCgzrtDPz6wl9qCu3YAA07rYqBEsXAhffWXGAYpI2rZ161ZatmxJxYoVqVixIgMGDOBsau3vJpIOKAC6oAYNGrB7927GjBmTqPuTugF7csiUyUxMCQ1N3P2RkWZ/TU9PM3bQkW2j4lr+bt5M3DtFJPXUqVOHxYsX07x5cw4ePMjUqVMpWrQoY8aM4ab+RyyiAOiq3NzcaN68eaLuTeoG7Mll1CiYOBGmTIETJ8yYwalTH39fVJQJf9euwaxZJgz+9ps57twx13z/PXz0kVkH8JdfzNjDzp3Nz12jRkr+VCKSXHx9fRkzZgw//vgjDRo04MaNG7z55puUK1eO0MT+61HESSgASoIldQP25NK9u1maZto0sxRMy5YmCD7Onj1m9vKPP5pZw3nyxB9nzphrfHxg+XIzxrB4cbNBfOnSsHmzNYtXi0jiFS9enA0bNjB//nxy5crFsWPHaNiwIZ07d+b8+fNWlydiCS0ELckiIRuw37xpguL69WZ3DRGR1BIREcGIESOYNm0asbGxZM6cmTFjxtC/f3/c3d2tLk8kSbQQtKS4xG7AHhkJX3wBbm5mLKGISGry9/dn6tSpfP/991SpUoXIyEgGDBhA1apV+f77760uTyTVKABKoiR2A/bWrc3aeu+/D/nypUxt8+c//P2lSqXMO0UkfalUqRLbt29n2rRp+Pv7s3fvXqpXr85///vfRK+RKpKeqAtYkp3Vm59HRd07Q/luGTKYrd1EROJcuHCBwYMHM2/ePABy5MjBhAkT6Nq1a4L3UBexUkLymgKgiIgIsHnzZv773/9y5MgRAOrWrcu0adMoWbKkxZWJOEZjAEVERBKobt267Nu3j/feew8fHx82b95MuXLlGDJkSKIXzhdJqxQARURE/uLp6ckbb7zBkSNHCAoK4vbt27z//vuULFmSEG0GLk5EAVBEROQ+BQsWJCQkhJCQEAoUKMDp06dp06YNQUFBnDp1yuryRJJMAVBEROQhgoKCOHz4MEOGDMHDw4NVq1ZRsmRJ3n33XWJiYqwuTyTRFABd3M2bN3nqqaeoWLEiW7ZssbocEZE0J2PGjLz77rvs37+funXrcv36dYYNG0a5cuX49ttvrS5PJFEUAF1cSEgIGzdu5MKFC9SsWdPqckRE0qySJUvy7bffEhwcTM6cOTl69CgNGjSga9euXHjY2lMiaZQCoIubMWMGAD179sTDw8PiakRE0jabzUbXrl05evQo//3vf7HZbHz++ecUL16cadOmcefOHatLFHGIAqALO3nyJBs2bMBms9GrVy+ryxERSTeyZs3KtGnT2LlzJ5UqVSIiIoIXXniB6tWrs3v3bqvLE3ksBUAXNmvWLAAaNWpEoUKFrC1GRCQdqlKlCjt37mTq1KlkzpyZ3bt3U7VqVV588UX+/PNPq8sTeSgFQBd1+/ZtPvvsMwD69OljcTUiIumXu7s7L774IseOHaNz587Y7XY+/vhjAgMDmT9/Pg5suCWS6hQAXdSaNWs4f/48OXLkICgoyOpyRETSvdy5czN//nxCQ0MpXrw4Fy5c4Nlnn+Wpp57i6NGjVpcncg8FQBcVN/mjR48eeHp6WlyNiIjzaNCgAfv372fMmDF4e3vz7bffUrZsWYYPH050dLTV5YkAYLM70DadkM2FJe07e/YsBQsWJDY2lmPHjlGsWDGrSxIRcUo///wzL730EmvWrAGgUKFCTJ06lZYtW1pcmTijhOQ1tQC6oNmzZxMbG0vdunUV/kREUtC//vUvVq1axYoVK8ifPz+nTp2iVatWtG3bltOnT1tdnrgwBUAXc+fOnb9n/2ryh4hIyrPZbLRp04bDhw8zePBgPDw8+PLLLylRogTjx4/n1q1bVpcoLkgB0MWsX7+e06dPkzVrVtq3b291OSIiLsPPz4/x48fzww8/UKdOHaKjo3njjTcoX768tuKUVKcA6GLiJn907doVb29vi6sREXE9pUuXZvPmzcyZM4eAgAAOHz5M3bp16dGjBxcvXrS6PHERCoAu5MKFC6xcuRJQ96+IiJVsNhvdu3fn2LFjPP/889hsNubOnUtgYCCffvopsbGxVpcoTk4B0IXMmTOH27dvU716dUqXLm11OSIiLi9btmz873//47vvvqN8+fJcuXKFfv36UaNGDX744QeryxMnpgDoIux2OzNnzgTU+iciktZUr16dXbt2MXnyZDJlysT3339P5cqVGThwIBEREVaXJ05IAdBFbNq0ifDwcDJlykSnTp2sLkdERO7j4eHBgAEDOHr0KJ06dSI2NpYpU6ZQokQJFi5cqC3lJFkpALqIuMkfnTt3JmPGjBZXIyIiD/PEE0+wcOFC1q1bR9GiRTl//jzPPPMMjRs35vjx41aXJ05CAdAFXLp0iWXLlgHq/hURSS8aNWrEgQMHGD16NF5eXmzYsIEyZcrw1ltvcf36davLk3ROAdAFzJs3j5iYGCpUqEClSpWsLkdERBzk7e3NW2+9xaFDh2jatCkxMTG88847lC5dmrVr11pdnqRjCoBOzm63/939q9Y/EZH0qXDhwnz11VcsXbqUvHnzcvLkSZo3b06HDh04e/as1eVJOqQA6OS2b9/O4cOH8fX1pXPnzlaXIyIiiWSz2Wjfvj1Hjhzh1Vdfxd3dnWXLlhEYGMjEiROTtKVcvXrw8svmc6FC8OGHyVCwg0aNgvLlU+99YigAOrm41r+OHTvi7+9vcTUiIpJUmTJlYuLEiezdu5eaNWty7do1Bg0aRKVKlQgLC0vy83ftgr59k6FQBw0aBKGhqfOumzdN2LTZYN+++PP798Mzz0D+/ODjAyVKwOTJqVOTVRQAndiff/7JokWLAHX/iog4m7Jly7J161ZmzZpF9uzZ+fHHH6lduza9evXijz/+SPRzc+QAX99kLPQx/Pwge/bUedfrr8MTT/zz/J495uf+/HM4dAiGD4ehQ+Gjj1KnLisoADqxBQsWcP36dUqWLEmNGjWsLkdERJKZm5sbPXv25OjRo/Tq1QuA2bNnU7x4cWbOnJmoLeXu7wI+ehRq1wZvbyhZEjZsMC1oX37p2PN+/RU6dYKsWU3Qa90aTp2K//7+LuAePaBNGxg3DnLlgixZYPRouH0bBg+GbNkgXz6YPTthP9fatbBuHUyY8M/vevaEKVOgbl148kl49ll47jlYvjxh70hPFACd1P2TP2w2m8UViYhISgkICGDmzJmEhYVRtmxZLl++TJ8+fahduzb79+9P9HNjY00Y8/WFnTth+nTTOuao6GioX9+08m3ZAtu2mc9Nm0JMzMPv27gRzp0z90yaZEJiy5YmRO7cCf36mePMGcfquHAB+vSBefMcb92MiDBh01kpADqpPXv2sG/fPjw9PenatavV5YiISCqoWbMme/bsYdKkSfj5+bF9+3YqVarExIkTE/W8devgp58gOBjKlTMtgWPHOn7/woXg5gYzZ0KZMmZs3WefwenTsGnTw+/Lls20yBUvblrnihc3YXLYMCha1HTPenqCI0Me7XbTqtivH1Su7Fjd27fD4sXw/POOXZ8eKQA6qbjWv/bt25M9tQZXiIiI5Tw8PHjllVc4cuQIHTp04M6dO8yfPz9Rzzp2zEyMyJ07/lzVqo7fv2cPhIdDpkym5c/Pz4S7GzdMsHyYUqVMcIyTK5cJkHHc3U138sWLj69h6lSIjDSh0RGHDplu6rfegkaNHLsnPfKwugBJflevXmXBggWAJn+IiLiqfPnysWTJEr7++ms++eSTRD3Dbjfj/RIrNhYqVYIH5c8cOR5+X4YM9/7eZnvwOUeGOG7cCDt2gJfXvecrV4YuXWDu3Phzhw9Dgwamu3jEiMc/Oz1TAHRCixYt4urVqxQpUoR69epZXY6IiFioadOmif67IDDQdNdeuGBa4cAsE+OoihVh0SLImRMyZ05UCUk2ZQqMGRP/+3PnoEkTU1e1avHnDx0y4a9794R1c6dX6gJ2QnHdv71799bkDxERwdvbO1H3NWoEhQubUHTggBlzFzcJxJG/Xrp0gYAA06W6dSv8/DNs3gwDB0JqbWBSoACULh1/FCtmzhcubGYTgwl/9eubn/fVV+G338zx+++pU6MVFACdzI8//sjOnTvx8PCgR48eVpcjIiLpmLu7We7l6lWoUgV6947vGnUkU/r6mpm8BQpAu3ZmEkjPnnD9unUtgg+yZIkJe/PnQ5488UeVKlZXlnJsdrvd/riLIiMj8ff3JyIigsxp6f9j8g8DBgxg6tSptGvXjmXLllldjoiIOJmwMDMbODzctKIl1dChpnVw27akP8vVJSSvaQygE7l+/Trz5s0DNPlDRESSx4oVZvZu0aIm9A0cCLVqJT382e1w8qTZBq5CheSpVRynLmAnsmzZMv78808KFChAI2eeuy4iIqkmKgr69zcTQnr0MN2iISHmu3Hj4pd3uf9o1uzRz42IMDuLeHqa9f0SKyk1uDJ1ATuRunXrsmXLFkaPHs1bb71ldTkiIuLkLl82x4P4+EDevK5RQ1qhLmAXdOzYMbZs2fL3vpAiIiIpLVs267dLSws1pEfqAnYSM2fOBKBZs2bki5vXLiIiIvIACoBOICYmhrl/LWWuyR8iIiLyOAqATiAkJITff/+dPHny0KJFC6vLERERkTROAdAJxO388dxzz+HhoWGdIiIi8mgKgOnczz//zPr16wHo1auXxdWIiIirOHr0KL1796ZixYpUrFiRZs2a8fXXX+PA4iKSBigApnOzZs0CoGHDhjz55JMWVyMiIq4iMDCQGTNmMHToUC5fvszXX39Ns2bNqF27Nrt27bK6PHkMBcB07Pbt23z22WeAJn+IiEjqs9lsPP300xw5coQxY8aQMWNGvvvuO6pWrUqPHj04d+6c1SXKQygApmNfffUV586dIyAggNatW1tdjoiIuCgfHx+GDx/OsWPH6Nq1KwBz586lWLFijBs3jhs3blhcodxPATAdi5v80b17d7y8vCyuRkREXF3evHkJDg5mx44dVK9enWvXrjF8+HBKlCjBsmXLND4wDVEATKfOnj3LV199BUDv3r0trkZERCRetWrVCAsL4/PPPydv3rycOnWKDh06UL9+ffbt22d1eYICYLr12WefERsbS506dQgMDLS6HBERkXu4ubnRpUsXjh07xltvvYW3tzebN2+mYsWK9O3bl4sXL1pdoktTAEyHYmNj/579q8kfIiKSlmXMmJHRo0dz9OhROnXqhN1uZ8aMGRQtWpSJEycSExNjdYkuSQEwHVq/fj2//PILWbJkoUOHDlaXIyIi8lgFCxZk4cKFbN26lYoVKxIZGcmgQYMoXbo0q1at0vjAVKYAmA7FTf7o2rUrPj4+FlcjIiLiuLh1AmfNmkWuXLk4ceIEQUFBNGnShEOHDlldnstQAExnLly4QEhICKDuXxERSZ/c3Nzo2bMnx48f54033sDT05P169dTrlw5XnrpJS5fvmx1iU5PATCdmTt3Lrdv36ZatWqUKVPG6nJEREQSLXPmzLz33nscPnyYtm3bcufOHT766COKFCnC1KlTuXXrltUlOi0FwHTEbrczc+ZMQK1/IiLiPAoXLszy5csJDQ2lTJkyXLlyhQEDBlCuXDm++eYbq8tzSgqA6cjmzZs5ceIEfn5+dOrUyepyREREklWDBg3Yu3cvn3zyCdmzZ+fIkSM0bdqUVq1acfz4cavLcyoKgOlI3OSPzp074+fnZ3E1IiIiyc/Dw4N+/foRHh7OK6+8goeHB6tXr6Z06dK89tpr/Pnnn1aX6BQUANOJy5cvs2zZMkDdvyIi4vyyZMnCpEmTOHjwIM2bN+fWrVtMmjSJYsWK8emnn3Lnzh2rS0zXFADTiXnz5nHz5k3Kly9PpUqVrC5HREQkVRQvXpw1a9awdu1aAgMD+f333+nXrx+VKlVi06ZNVpeXbikApgNxq6aDaf2z2WwWVyQiIpK6mjZtyoEDB5g8eTJZsmRh//791K9fn/bt23Py5Emry0t3FADTgR07dnDo0CF8fHzo0qWL1eWIiIhYIkOGDAwYMIATJ07Qv39/3NzcWL58OSVKlGDYsGFERUVZXWK6oQCYDsS1/nXs2BF/f3+LqxEREbFWQEAAH3/8Mfv376dhw4bExMTw7rvvUqxYMebMmUNsbKzVJaZ5CoBpXGRkJIsWLQI0+UNERORupUuXZt26dYSEhFCkSBF+++03nnvuOapVq0ZYWJjV5aVpCoBp3IIFC4iOjqZEiRLUrFnT6nJERETSFJvNRlBQEAcPHmT8+PFkypSJ3bt3U7t2bZ555hlOnz5tdYlpkgJgGjd9+nRAkz9EREQexcvLi8GDB3PixAl69+6NzWZj4cKFBAYGMmrUKKKjo60uMU1RAEzD9uzZww8//ICnpyddu3a1uhwREZE0L1euXMyYMYM9e/bw73//m+vXrzN69GiKFy/OggULsNvtVpeYJigApmFxkz/atWtHQECAxdWIiIikHxUqVGDTpk0sWbKEggULcvbsWbp06UKtWrXYtWuX1eWlCDc3x2OdAmAadfXqVRYsWABo8oeIiEhi2Gw2OnTowJEjRxgzZgwZM2Zk+/btVK1alR49enDu3DmrS0xWCdkmVgEwjVq8eDFRUVEULlyYevXqWV2OiIhIuuXj48Pw4cM5duzY30Oq5s6dS7FixRg3bhw3btywuMLUpwCYRsV1//bu3TtBTboiIiLyYHnz5iU4OJgdO3ZQvXp1rl27xvDhwylRogRLly51qfGBShZp0MGDB9mxYwceHh706NHD6nJEREScSrVq1fjuu+/4/PPPyZs3L6dOneLpp5+mfv367Nu3z+ryUoUCYBoU1/rXqlUrcufObXE1IiIizsdms9GlSxeOHTvGW2+9hbe3N5s3b6ZixYr07duXixcvWl1iilIATGNu3LjBvHnzAE3+EBERSWkZM2Zk9OjRHD16lE6dOmG325kxYwZFixZl4sSJxMTEWF1iilAATGOWLVvGlStXKFCgAI0bN7a6HBEREZdQsGBBFi5cyNatW6lYsSKRkZEMGjSI0qVLs2rVqiSND6xXD15+2XwuVAg+/DAZCk4iBcA0Jq77t2fPnri7u1tcjYiIiGupXbs2u3btYtasWeTKlYsTJ04QFBREkyZNOHToUJKfv2sX9O2bDIUmkQJgGnL8+HE2b96Mm5sbPXv2tLocERERlxT39/Dx48d544038PT0ZP369ZQrV44XX3yRS5cuJfrZOXKAr28yFptICoBpyNq1a6lQoQIvvPAC+fPnt7ocERERl5Y5c2bee+89Dh8+TNu2bblz5w4ff/wxRYsWZerUqdy6dSvBz7y/C/joUahdG7y9oWRJ2LABbDb48kvHnvfrr9CpE2TNCtmzO16HAmAaMnDgQPbu3cuUKVOsLkVERET+UrhwYZYvX05oaChlypThypUrDBgwgHLlyvHNN98k+rmxsdCmjWkR3LkTpk+H4cMdvz86GurXBz8/2LIFtm1z/F4FQBEREREHNGjQgL179/LJJ58QEBDAkSNHaNq0KS/HzfBIoHXr4KefIDgYypUzLYFjxzp+/8KF4OYGM2dCmTJQooTj9yoAioiIiDjIw8ODfv36ceLECV555RU8PDzYsmVLop517Bjkzw93L/lbtarj9+/ZA+HhkCmTaQVMwFbACoAiIiIiCZUlSxYmTZrEwYMHqV27dqKeYbeb8X6JFRsLlSrBvn3xh6MUAEVEREQSqXjx4okeux8YCKdPw4UL8ed27XL8/ooV4cQJyJkTihQxh6MUAEVEREQs0KgRFC4M3bvDgQMQFhY/CcSRlsEuXSAgAFq3hq1b4eefHX+3AqCFUnJl8IRMIRcREZHU5+5u/q6+ehWqVIHevWHECPOdt/fj7/f1NbN/CxSAdu0SNgnEI1EVS7LbtQsyZky+550/b9YEssLlyzBypJnddOaM+ddJmzbwzjvg7x9/3fHjMHiw+RdPTIyZwTRmjJnSLiIi4iw2bYr/fOrUvd8FBt67fEtYmPnV0e7c3Llh7tz43zs6plABMI3IkSN5n3f3jKLUdu6cOSZMMIta/vIL9Otnzi1dGn9dixZQrBhs3Ag+PqYFtGVLMyXeyvpFRERSy4oVZvZu0aJmRu/AgVCrlukaTknqAk4jkntl8LuvPXXK/H7xYqhTx4StKlVMC9yuXVC5svmPr2lT+P33e58zezaUKgVeXpAnD7z44uPfXbo0LFsGrVqZ/4AbNDDrGq1aBbdvm2v++MP8hz5kCJQta/7Df+89s6hlMmy1KCIiki5ERUH//qYlsEcP8/dzSIj5bty4+OVd7j+aNUvae9UCmAbFrQxeoIBZGTwqCl57LenPHTnShMwCBaBnT3jmGcicGSZPNuMIOnaEt96CTz4x13/yCbz6qglmzZpBRER803RCRUSYd3n89V9c9uxmrEJwsJnF5OUFn34KuXKZKe0iIiKuoFs3czxIv37m7+YH8fFJ2nsVANOguJXBN22K7wodO9bMFkqKQYOgSRPzeeBAEwBDQ01TM0CvXjBnTvz1Y8aY4DlwYPy5KlUS/t5Ll8z4v+efjz9ns8H69WbmUqZMZiXzXLng668hS5aEv0NERMTZZMtmjpSgLuA0KKkrgz9M2bLxn3PlMr+WKXPvuYsXzeeLF82YvaeeSto7IyPNWL+SJU0LZBy73TR558xppq5//70Jgy1bmgksIiIiknIUANOgpK4M/jAZMsR/jnv+/ediY83npDYtg+m6btrUjFVYseLed23cCKtXm30Ma9Uy3cDTppn33j2bSURERJKfAmAalNSVwZNDpkxmYkpoaOLuj4yExo3B0xNWrvznekbR0eZXt/v+C3Rziw+hIiIikjI0BjANuntl8PHjTUtaQlYGTy6jRpkBqDlzmkkgUVFmEshLLz36vqgoE/6io+Hzz00YjIw03+XIYRa+rFHDrFPYvbuZeOLjAzNmmFXMW7RI8R9NRETEpakFMA1K6srgyaV7dzNreNo0sxRMy5Zmz8HH2bPHzF7+8UezkGWePPHHmTPmmoAAM+Hj6lWzTEzlymYhzJAQKFcuRX8sERERp3T16lWHr7XZ7Xb74y6KjIzE39+fiIgIMmfOnKTiJHHCwsy6gOHhj18c8uZNExTXr4eGDVOnPhEREbFWQvKauoDTqMSuDB4ZCcuXm7F0gYGpU6uIiIikLwqAaVRUFLz+evxeug0bwsSJ5rtx48zxIFWqwOHD8P77kC9fytQ2f/69a/rdrWBB7eQhIiKS1qkLOB26fNkcD+LjA3nzpuz7o6LunaF8twwZTAgUERGR1KUuYCeXkiuDOyJTJnOIiIhI+qRZwCIiIiIuRgFQRERExMUoAIqIiIi4GAVAERERERejACgiIiLiYhQARURERFyMAqCIiIiIi1EAFBEREXExDi0EHbdZSGRkZIoWIyIiIiKJE5fTHNjkzbEAGBUVBUD+/PmTUJaIiIiIpLSoqCj8/f0feY1DewHHxsZy7tw5MmXKhM1mS7YCRURERCR52O12oqKieOKJJ3Bze/QoP4cCoIiIiIg4D00CEREREXExCoAiIiIiLkYBUERERMTFKACKiIiIuBgFQBEREREXowAoIiIi4mIUAEVERERczP8DYFhcXrR7XScAAAAASUVORK5CYII=",
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