From 3854dfec2cf3fd54d2fe43e3132f2edbe948a3f1 Mon Sep 17 00:00:00 2001 From: Alyssa Travitz Date: Fri, 5 Sep 2025 16:35:25 -0700 Subject: [PATCH 1/5] add usrse_showcase edits --- .../images/OMSF-logo-horizontal-color.png | Bin 0 -> 19186 bytes showcase/images/ecosystem.png | Bin 0 -> 196800 bytes showcase/images/openfe_logo.png | Bin 0 -> 69387 bytes showcase/{ => images}/tyk2.png | Bin showcase/openFE_logo3.png | Bin 30098 -> 0 bytes showcase/usrse_showcase.ipynb | 1759 +++++++++++++++++ 6 files changed, 1759 insertions(+) create mode 100644 showcase/images/OMSF-logo-horizontal-color.png create mode 100644 showcase/images/ecosystem.png create mode 100644 showcase/images/openfe_logo.png rename showcase/{ => images}/tyk2.png (100%) delete mode 100644 showcase/openFE_logo3.png create mode 100644 showcase/usrse_showcase.ipynb diff --git a/showcase/images/OMSF-logo-horizontal-color.png b/showcase/images/OMSF-logo-horizontal-color.png new file mode 100644 index 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"source": [ + "## The ``Hello, World!`` of Free Energy Calculations\n", + "\n", + "\n", + "The OpenFE ecosystem is an open-source framework for calculating alchemical free energies.\n", + "\n", + "In this demo, we will demonstrate how you can use the **openfe** CLI or Python API to use physics-based simulations to predict the relative binding free energy (RBFE) of a ligand binding to a protein.\n", + "\n", + "Specifically, we will be predicting which ligand from a set of candidates binds best to a target protein. We will be using TYK2 (Tyrosine kinase 2) as our target protein, which can be thought of as the \"Hello, World\" of free energy calculations.\n", + "\n", + "For convenience, a prepared (capped and protonated) PDB structure of the\n", + "TYK2 protein is provided under `inputs/tyk2_protein.pdb`:\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "id": "a7006905-ca5e-4d2a-93be-815b029f56eb", + "metadata": { + "jp-MarkdownHeadingCollapsed": true + }, + "source": [ + "## Overview\n", + "RBFE calculations can be thought of as 3 distinct steps:\n", + "\n", + " 1. **Setup**: construct a graph relating the ligands\n", + " 2. **Run**: execute a simulation using OpenMM\n", + " 3. **Gather**: compute meaningful metrics from the simulation data\n", + "\n", + "Each stage is supported by the OpenFE software packages, but everything can be accessed from the base **openfe** package.\n", + "\n", + "\n", + "\n", + "Note: 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). \n", + "Also, see our [tutorials](https://docs.openfree.energy/en/stable/tutorials/index.html) for step-by-step guides." + ] + }, + { + "cell_type": "markdown", + "id": "28f40a29-4ddd-4f25-8c08-154bb3139bb3", + "metadata": { + "jp-MarkdownHeadingCollapsed": true + }, + "source": [ + "## Outline\n", + "\n", + "0. Setup for Google Colab \n", + "1. Quick Start: Relative Free Energies with the OpenFE CLI\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. Gather & Analysis" + ] + }, + { + "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. Quick Start`" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "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/v1.6.0/OpenFEforge-1.6.0-Linux-x86_64.sh\")" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "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": "31608e5a-cedf-4840-b809-a7df32b319ea", + "metadata": {}, + "source": [] + }, + { + "cell_type": "markdown", + "id": "524015c7-6c42-4b84-98b9-361c17945fbe", + "metadata": {}, + "source": [ + "# 1. Relative Binding Free Energies with the **openfe** CLI" + ] + }, + { + "cell_type": "markdown", + "id": "11074a41-2827-48c5-9493-e0e4e2d94838", + "metadata": {}, + "source": [ + "You can run a basic RBFE campaign with no Python at all!\n", + "\n", + "The entire process of running the campaign of simulations is split into 3 stages; each of which corresponds to a CLI command:\n", + "\n", + "1. ``openfe plan-rbfe-network``\n", + "\n", + "2. ``openfe quickrun``\n", + "\n", + "3. ``openfe gather``\n", + "\n", + "All you need is your target protein in `.pdb` format, and your candidate ligands in `.sdf` format.\n", + "\n", + "For more details, please visit our tutorial: [Relative binding free energies with the OpenFE CLI](https://docs.openfree.energy/en/latest/tutorials/rbfe_cli_tutorial.html)." + ] + }, + { + "cell_type": "markdown", + "id": "68cc5f26-71e2-4135-b72b-6c5a4a1d4072", + "metadata": {}, + "source": [ + "## 1.1 Setup\n", + "\n", + "The setup step can be carried out using the CLI command `openfe plan-rbfe-network`.\n", + "\n", + "`openfe plan-rbfe-network -M inputs/tyk2_ligands.sdf -p inputs/tyk2_protein.pdb -o tyk2_json/`\n", + "\n", + "This command plans a relative binding free energy network and saves it as JSON files for the `openfe quickrun` command.\n", + "\n", + "By default, this tool makes the following choices:\n", + "\n", + "* Atom mappings performed by LOMAP, with settings `max3d=1.0` and\n", + " `element_change=False`\n", + "* Minimal spanning network as the network planner, with LOMAP default score as the weight function\n", + "* Water as solvent, with NaCl counter ions at 0.15 M concentration.\n", + "* Protocol is the OpenMM-based relative hybrid topology protocol, with default settings.\n", + "\n", + "These choices can be customized by creating a settings yaml file, which is\n", + "passed in via the ``-s settings.yaml`` option. For more details, please visit our user guide section about [Customising CLI planning with yaml settings](https://docs.openfree.energy/en/latest/guide/cli/cli_yaml.html)" + ] + }, + { + "cell_type": "markdown", + "id": "26fef157-6989-406d-b719-0ed597ef820e", + "metadata": {}, + "source": [ + "## 1.2. Execution\n", + "\n", + "You can run each leg individually by using the `openfe quickrun` command. It takes a transformation JSON as input, and the flags `-o` to give the final output JSON file and `-d` for the directory where simulation results should be stored. For example,\n", + "\n", + "`openfe quickrun tyk2_json/lig_ejm_31_lig_ejm_47_complex.json -o results_complex.json -d working-directory`\n", + "\n", + "`openfe quickrun tyk2_json/lig_ejm_31_lig_ejm_47_solvent.json -o results_solvent.json -d working-directory`\n", + "\n", + "## 5.3. Analysis\n", + "\n", + "To gather the \n", + " estimates into a single file, use the `openfe gather` command from within the working directory used above:\n", + "\n", + "`openfe gather results/ --report dg -o final_results.tsv`\n", + "\n", + "This will write out a tab-separated table of results, where the results reported are controlled by the `--report` option:\n", + "\n", + "* `dg` (default) reports the ligand and the results are the maximum likelihood estimate of its absolute free, and the associated uncertainty from DDG replica averages and standard deviations.\n", + "\n", + "* `ddg` reports pairs of ligand_i and ligand_j, the calculated relative free energy DDG(i->j) = DG(j) - DG(i) and its uncertainty.\n", + "\n", + "* `raw` reports the raw results, giving the leg (vacuum, solvent, or complex), ligand_i, ligand_j, the raw DG(i->j) associated with it." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "711d73bc-519f-4b81-9daf-c7594c7bbf8f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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jBgLg5MlcGZ4wYcKNGzdu3LgxduxYrmz+B+EscJ8+ffqBAwfmzZsXGhpaQnSlJtHR0T179rSxsalQoYLWt6piTHs+LbEgUYGKZHnyzPiZnNjkmJwcXLMGvb3x6lXdjd24cYPuRPHx8Yj45s0bd3d3oVAIAKamplKpNCMjQ/d3+TrcvHmTukutrKxOnTpV7K+PHz+WSqUq7YVq1apJpdKEhPdPpgULFgCAs7OzRCKhA1xdXakuSFMKlYWTnk3KVeTS/y3HgfvEiRMBwMPDQ/1Tpk6dCgCzZ8/+6F9TU1N//vnnevXq0X+C5s2b/+f2TC9der/v7OiIAPjnn7qbPHDgwJ07dx4/foyIFy9efPPmje42GV+CvLw8EgXn8/lGRkaq5MLgwYMPHTqUl5f30bNOnz6tqrRR9f+4u7srNCldKFQW3sq+dTzt+P6U/fQvPyb9qF+BOwXTbm5uR48eFauBoaFh0SC+V69eu3btKuGer1Ao2rZtCwAymeyrfS5uSS9M/+PdH2fTz97JuXMj6wYHFsePRwCcPRsB0MKCq0TDf+62/2XgLHDftm0bIu7bt2/Tpk1CodDV1VW7p8iLFy8mTpxImQZjY2P67bm4uOhS4ZenzEsrTHONc1X9SxkN3D09MToaFQqcNAmTk3W3R8n18ePH+/r6mpubA4BQKJRIJCVUW5ZZ3r5927dvXwDg8XhSqbSwsFChUAQHBzs5Oamm/3Ts2DEoKKjYHsJff/1VuXJlAKhRo4ZMJqMqxkaNGkVFRan51gpUhGSEiJ+Kxz8bP+HZBLnyvf1yHLhHRkYCQMWKFbOzs9U85f79+zwez9zcPD09vei/P3z40N3dnb52AKhevbpMJnvz5s2LFy/oANWLMsIb+Zu1r9fuTN55N/vu6fTTXJp2cEAAnDkTAZQ9e+poLCAgAAAGDBjAiWulgmr7a/369aXrydfBw8PD0tKSz+c7Ojr6+/ur84iMioqinIWdnd2SJUsoST98+HB1fpj3c+/LXspqR9XmR/D/ePdH4Lv3KTD9Ctx/++03ysIsWbJEzVN69OgBACtXrnR1dVXdeYyNjcVicXBw8IebzNu2baNvWLuETqmjRKX4qTgyO/JY2rEjaUeOpmnQa/RJzp5FAKxXD9u2RYCCgwd1tPfnn38uWLDgwYMH9H9L3ptllAw3gfvbt2+fPHmCiHFxcatWraLC9CpVqmzfvr3o3l/JZGZm+vr6mpmZAYBIJJJIJImJiatWraJaW2NjY5lM9qnMxKdQojIoJcj+vv30+OlTnk9JLXzfnlhGA/cJE96/2LEDL17EyEjcu1cXe48ePRIIBKq4dsiQIXq9ma5QKHx8fGhR5+DgUL16dfpc5ubmM2fOjI6O/tSJ8fHx3377La1b5s+fT+U0ZmZme/bsKfkdUwpT/F751b1fFyIAIqDCnQoHUg8sSlwUlhl2LetaOQ7cEfGbb74BAFqQqwnVA2zatAkRCwsL1VlWlUGGxw5PKEiIyI44lX7qj3ea9bd9hjVrECDzu+9O9e7d0NKS7pnace3aNUor7tixg0MHvzLUCY3/mfQbrbWGDx+u0YPs7du3nTt3plvWsmXLaGuxZcuWtJX6IS+yX6x6tapZdDO6a0EE1Ltf70LGhZFPR+56t2v96/X6FbhrAc2DW7VqFSKmpaUFBgYWvRHZ2tq6u7vfvn2bDs7IyKhWrRoA7Nu3r1S91p7EgsSFCQvpdUhGCDeBe2EhVq+usLIKX7p0YpMmAwcO1MXY1atXaaMpODiYA9/+83ATuBfjyZMnvXv3ph9JmzZtbt68WfLxBQUFAQEBqhFlLi4uMTExiBgYGCgUCqdMmTJq1Cj61dWrV+/DSolPEZoR2vpha7pztX7YOiYvZs6LOQsTFl7JuvLz6591/ZBfgqlTkVb8S5fiP//gN98gAHbtiv8uUjUiJCSEIlQTE5OKFStevHiRY29LiQsXLlhaWtrZ2QFAgwYNfH19U1JSPnuWXC6XSqV0FQ0YMIDGHFLZTM7HNgEjIyOlt6Umt03o+qkTVWf1q9XJ8mREfJj7MDgt+LX89cPc8pwzoNkxLVu2VP8UGt7UoEGDn376qca/kzssLCwkEsn9+/e/nKscklaYNjv+fbXP1ayr3AbuijdvZrduLRQKR40aBQCenp7a2Xn58h2tWufMmcOhe1+fyZMny2QymUzGYS9TWYbKXb7//nuhUOjs7Kz+iXl5eXTLEggEHh4eDRo0oM2r8PBw1TGq0nnHaY5016p0p5JrnGtIRogSlYgoV8of5D5IKUxJKUxRbRuWS7Zu3Ur39qL/GB8f7+vrW79+fVUVDUn3TJ8+HQA6dOigfpKxrJFWmDY9/r0IGGeBO+KB5cuNhMJJkyYJhUKRSPT27Vvt7Dx79oyiO9VCXR/Jzc19/fo1Iqanp5e6Qt0XCdyJ4OBgengLhUJ3d/diG+hFD1NVvn7zzTdhYWGqP8lkMkqv2traent7qyY/u7i4PH/+vIS3jsqK6hfTj25edvfsdiTvUCBnekZfkJgYnD0bf/gB163Dw4fR2xurVEEAFInQ3R0zM9U0c/Xq1Y4dO9J3VbduXRMTEwAICQn5or5/TahaXSKRaHqrPXr0KOWr6tevv3z5cvpmWrVqperCzM/PDwoKcnJyAoB2Hu14ETynJ05BKUHl+zn3UfLz8+lue+XKFTVPOX/+vLGxMZ//fjpE06ZNN2/enKn2dVsWKFAWqGrqOA/cEXH48OEAQP0ANjY2BQUFGntYgF26YOfOAV27diMRXv3lv5Zxpy0p6roRi8UanatUKn19fenH5erqSqZMTU0PHjx4/PjxUaNGqSpLTcxMxj8ZfyztWL5Svy8Prbl27Rrd2D/8k1KpvHz5skQiUfVE0ab0rVu3vr6fHPJD4g8rklYsfbn0WNoxrgJ3KpisUqUKFanSVqqmpKfjsGEeANCnT5+yv91aAtHR0T///DMinjx58vDhw6XrzBcM3BExKytLKpVSQ2S1atUCAwOLRlrXrl3r1KkT/XgaNmwYFBT0oYXbt29TkQMAdOvWbdGiRVSrbWpqKpPJPnxuJSQkSCSS1m6tIQLMbptJE6SZCn2KG96TnIxWVsjj4YgROHYs8vkIgLVrZ//1V8nnPXnyRCwWU17Z0tLS19c3Ly+POvFbtmypUUtTWWbIkCEAsHjx4ubNmy9btkyjc589e9auXTsAMDIy8vDwoEWjhYXFb7/9tnTp0qpVq9LFVrFixe89vn+Sq30xQ6nx9i2uWYPr16POzceLFy8GgNGjR5d8WG5ubmBgIOn20ELdzs7u77//1vHdS4tf3/w6P2H+9y++P51+esnLJbPiZ3G47D99+jQA1KlTh74uLR4AJPNQsya+fq33P+d169bRCx21nvQFKvucMWMGAGh64yKCgoIoQO/Rowft26haXfl8frdu3bZt25aWlsa55/pFZmYmj8czNDQsIVLMzc2dOnUqn8+n+MTFxUWP1Bo+yiv5q32p+/xf+xcoNU4HfAratJ8/fz5tSmh6emEh9uuHfL5ixIi1+n5ZRkdHT5o06ciRI0uXLi3ngTtx586dDh06qILvBw8ePHr0SCVKaGVlVbIooVKpDAwMrFKlCgCIRKJJkyZ99913dG7z5s0vX75Mh6Wnpy9atIhyqAYGBl73vN7KtdzZKX2ys1EmQ0NDBMDKlXH+fGzXDvl8t6ZNP9Wnm5ycLJVKqezVxMREKpWqfic5OTm09fEnF0IWZYGWLVuq7iYzZ2rcrpCbm+vu7k6X0MiRIwcOHAgAtCCkiyogIEBPu5QQEceMwVev8OlT3TW84uPjhUKhgYHBp7qZY2JipFKpSvHdxsZm1qxZIpFIKBSWtZZTLVCist79ehABHLaoKhQK6jWkDXqN6iUQcdcuBEAjI/xc+aF+cPTo0datW/v5+ZW2I1+D+Ph4et716dMHNJxWVpRr167RVtimTZucnJxMTEyqVq0qk8liY2O5dVivoVHZn+qALCwslEqldNcSi8XW1tYA0KxZM90F8UqRZ/nPeBE809umHCYrf/zxR/qKqPlQ07Yc0qSxtMSYGK48KjWio6M9PDxu377966+/qhO4nz9/vtgLDvkagTsiKhSKrVu30gNeJBJRAYyZmZm3t7eaO+kpKSnu7u60UWhnZ+fl5dWoUSMA4PF4Y8aM8fPz+7BEXjuCg4Oph33btm1abGR/iFwup52BvLy8wsJCDc588AC7dUMABMBOnZ4sX07SYCYmJitWrFC1N2VnZ/v6+tKf+Hy+WCz+8O6zfft2AKhdu7am3b1lE9rlpHqDNWvWaGdk165dJDiwfft2qo1p2bLlpUuXuHX1a5OZibP+bZmlXmfdCjdpc6NYdlChUJAcO/2QAcDR0TEgICA3NxcRKRGovgREWWZl0kqIgOGxwzm06ePjAwB169bl8/k8Hm/VqlVhYWFqanC5uSEA7tzJoTulybJly0CHWn/94q+//gKAnj17UiukLnH2s2fPSLiQRoTu3r2bMy/LCzSM7KMjtzMyMuivBgYG1NsdGxvr4OBAyyq9fgR0fNwRImD3O86uh+fPn/P5fJFIRMHbgAEDrl27pmbMFhiIAGhoiP8mV/UbTUtlvqjw5VcK3ImUlJRp06ZZWFiYmppKJJKXL19qauHWrVuktwoA/fr1c3d3pxwz7XZ17tz5+vXrOjq5du1aWqbPnj2bAhEdCQkJ2b9/PyJu3br1xg3NBVaDg9HOTlmpUhMbm2J9uidPngwKCqpVqxZ9IU5OTnc+MUpdoVBQlrocJLfS0tKoVmrw4MGfujWryYMHDzw8PJRK5ciRI0HzEdmf4vbt2/TDPnHihDb/xXVBocDx49+/pt4sNzeUSFDbYujQ0FAAqF69Oi1i09LS/P39KZsFAIaGhq6urip9BiIsLAwAqlSpUg5WiUkFSaJIkShSlFTAmYLqixcvKAGhagYgKlWq1LfvhHHjcMUKDArCO3feSyfn5qKXFyLigwd4+zaWp3Hs1HCp18I46kPJS9ppMTc356QVkrpU7969q7spRIyLi0tOTkbE+/fvc/Ls04w//sBFi9DdHbkoN6cyvw912WNjYxs3bgwAlpaWF4r8ljIyMvr370/3NP1dCG1+uxkioG9MXw5ttm/fvtjNis/n161bd+jQoWvWvD10CGNisGgR7uPH71/cu4c9e+KuXRz6Uprk5ORs3bo1Kirq3bt3yWqodY8cOdLLy8vLy2vw4MGcO/NVA3dETEpKoi318PDwkJAQdfRAiiGXy9etW2dhYQEAFhYWt27dok2cnRylodauXTtz5kyZTNauXTuuAvc1a9bcvXtXJpNpGcalpp719lb16Xp5eVF6QEWbNm0+ux1Dc4YrVar07t07bXwoM9y+fRsAmjZtSlXCRXUVtIbuTZc5ygxcuXKFYpE9e/Z8iW2yz7B9Oy5ciPPm4eHDeOcOGhggALZvj9ruAlOZ46pVqyQSCZWiUcLY19f3U/cvmuvO1UKodBn0zyCIgNWvVnNl8M6dOySYO2DAgBUrVri6urZr1442kVq1mk8bbPQ/Hg9r1sS1a9HREffuxTNnsLRLKzmGsjBc/e7KOFThSZ2pWpQLf0hOTo5AIBCJRFz1KO/YsePq1auI6OXlpUVaTSeys1EiQURUKHDcON3t7dmzBwCGDh1a9B8vX75MVTFNmzb9sOK0sLCQZH9oVIg+isykFKYYRhoKIgVcJRrS09OptM/BweGnn34aN25cq1at6PYFAJUrK+hOZWaG7dujRIK//469eyPd+KdP13G7t2yRkpJCGUM1ewXLT8YdEZ8/fw4ANWvWJGFarbelXr586erqOnfuXPy340edNZA6fImM+/fff3/w4MHp06frkn8t2qdLZUL0TQYEBKh5JVFByIIFC7T2oSxw+PBhCnqoOoiT/+50N09MTNTdFCJeuXJl4MCBXl5eQ4cOLYXAXcWjR1ilCi5Zgvb2CIAVKqDmQzTy8vLGjx9fNNfi7Ox88uTJki+5LVu2AMC3336rg8Lldz4AACAASURBVPdlheNpxyECGtxvQJp6OvLu3Tt7e3sAGPdBdPL69eurV+O2bcOFC3HwYHRweL/m+vlnXLwY3dwwKKi8Be60XNFaZk6/oAXw999/DwDTpk3T3eCNGzcAoHnz5rqbInbs2DF79mw/P79evXp97cD92TP09n7/euJERETd9uvu3bsHAA0aNFD9y7Zt2yji7Nu3bwmNkgEBAbSBLxaLP6oUXMYZHDsYIoATwWu5XN6rVy8AaNy4cdFvrKCgICoqat++Q1Ip9uuHdnb/yzX07ImzZuH06ZiSgtOn6+5CGeLvv/8GgPbt26t5fLkK3GNiYqjMg3KcOla2UPRAbYWfkpvUlP3795PWpL+/PyeZDF1LZYqgUCgCAgJoDigA1KlTR6NqhNu3b/P5fAMDA71uY/r5558BgBQhzc3NdTeYk5NDEgRcqe5wnnFPSEigrqDo6GgNpt56eb2/m44di87O71O4UqlCPU2uly9f+vr62traUgqKnmQlTLkqSk5ODl2l+i6yhoiFykK7e3b2kfaXH+maGC4sLCRhtfbt26vzyy0sxH/+wbg4XLwYY2OxQ4dyFbi/evWK9gBL25GvQV5eHjV3jRs3DgA2btyou01SKx87dqzupogdO3aEhoamp6d7enp+7cBdLsfRo7GgAF+/xqlTUaHAgQNx0iSta/wKCgoMDAwEAkF2dnbRVlR3d/fPdpqdPn2askLffPPNq1evtHOgtDicfLjjhY7Dlg3T3RTJH1lZWX02YHj3Di9cwPXrcd8+nDULnz/HhQvLW+C+YcMGAFA/Cj9y5MhPP/10//59zTob1eP/FVl+BQoKCgBAJBLRC9Wei3ZQ3ZVcLtfdlIoRI0asXbu2V69evXv35sRmkyZN6tevn5CQ8O2331KyTWv4fL5EInn8+DHJaPbo0YNK/NWkZcuW3333XUFBgUwm08WN0uXZs2cAQPVRtIunI3FxcYhYq1atYjXHWmNjY0O1p3Xr1lWNd9WFJ0+ehIeHA8D169efPn2q7mk+PhAYCCYm8McfEBcHnp4gFD67fLlbjx4vX7781EmIeP78+WHDhtWsWdPT0zMxMbFVq1bdunUDACsrq2I1Wp/C2Nh4woQJALB582Z1vS2rCHiCWRGznrZ++tuK33Q05enpefr0aRsbm4MHD6rzyxUIoG5dqFIFqlcHe3sQi+Ff7ekyR35+PiWAk5OTo6Oj1Tnl8ePHANCwYcMv61nZ4OHDh3K5vH79+vTlNGvWTHebUVFRXJlSYWJiYmFhwdXDVAOEQli0CHx8YMsWWLkSTpyA0FDYsQP69oWUFC3siUSi+vXrKxSKiIiIoUOHrlq1SigUbty4cf369aqW+k/Rp0+fsLCwWrVqXb9+vU+fPhSrIKJCodDmo31dnM2cHwx5cMjr0IMHD3Sx4+/vv2nTJiMjo+Dg4M/GLZUrQ7du4O4OI0cCANSsCdbWoFTq8v5lDk1/bvv27Vu0aNGtW7c+e71pA+dLgZK5c+cOALRo0YKmKUVFReluk+ItDkXKHR0dgdNkoZubGwBs2bKFK4ObNm0CgOmaL2nj4uIMDQ35fL7+Jt1JvZFKRXWcw0xQ9X/v3r11N6WiUaNGTZo0UVMq5LOcP39+6NChXl5eAwcOVH8c0nvu3sUGDRAALSwyV65sXq8eAFhbW384kCsjIyMgIEB1YzIwMBCLxXRYdHQ0j8czMzNTX4v3n3/+4fP5xsbGXNWwlSLPnz8XCATGxsZa9OSoOHToEI/HE4lE2incp6bi1KnYrp3W7/8ps6lLly5FxLt37+pyg3r37p1UKkXEiIiIzZs3q3MKJYzHq3qpyzWBgYEAIBaLTUxMeDweJ5MXu3fvDgAnT57U3RQRFxe3Zs2ay5cvZ2RkcPI8Vc1m0UxCYPt2NDDAZcuwRg0EwLp18ROqjiVD8la0Z2hpaanp5ufbt2+7det28ODBefPmIWJUVNT69eu1cOPrQ/HGDz/8oLWFU6dO0VwqLSSkHz1CRHz2DGWyclXjTkUi6t+9KckVGRn5JZwpnYy7gYEBV2lyhUKhVCoFAgFX6VLgOoUPRT51qRusXbv2unXr9u3bR2vo2NhYrlz6asTFxQFAYWEhcJdxBwCVUoruFBQUPHny5PHjx5UqVeLK5vDhw318fEhIRzOaN4fwcBg1ChWKUdu3t+zQoXfv3m/evOndu7enpyflkGJiYjw9PWvVqjV16tSoqKiqVatKpdLY2FjVEFkHB4fu3btnZWXt2rVLzbetW7du3759c3Nzd+zYobHPZYyaNWv27NkzNzf3zz//1M7CvXv3qKh93bp1Xbt21cKCmRkcPw43b8KVK9q58HEQMSMjIy0tLT09ne57WnP58mVvb++AgAAA2Llz56NHj0o+/smTJwBAe1PlHkrXVa9ePScnp2bNmhW52Dohm82bN9fdFHH37t0FCxYsX77c3Nyck+fp2bNni71Qi8ePoaAAvLxg4EBo0wZiY6FDBzh/XqO3fvToEdViJSYmNmnS5ObNm7TOUR8rK6vz58/36dMnLS3tn3/+efHihUanlyJjxoyBf7UBtDg9Ojp61KhRCoXCx8dn9OjRmp7esCEgQufO4OMD169r8f4lQU+T3Nzcffv26WKHpM/kcjntE34WpVJJOxjUqfJZ8vPzY2JihEKhmnvUmqLfpTLwBWLiL2HzCxkUiURanDt9+vSQkBB67evry5VLXw0qlcnOzgaOAncyqFLV1J34+HilUmlnZ0dNTqWPuTns3Xv5l19CExN37dqVmpo6d+5cUhBv37593759GzZsuGrVqtTUVEdHx8DAwPj4eF9fXzs7u6I2Zs6cCQC//PKL+g8DOmXjxo16scVcMlOmTAEAShJrSmpq6tChQ7Ozs11dXek70QKhECZMAADQyoWSiIqK+v3334ODg3W006lTJ29v76lTp6ampk6ePNnBwaFatWrjxo07cOBAamrqh8dTqcx/JHCn6fF2dnatWrWiHV0dSUxMTE5Orly5MmWUOYEaOjlcCSiVSplMJpPJKDmiLqtWwbZtIBLBxo1QvToMGACpqUdXrFDn15eSkrJly5ZOnTo1btz477//NjY2NjAw+Ouvv7QrUqXenqSkpGvXrlGxgF7QpUuX2rVrP3/+/PLly5qe++rVq379+qWnp48YMWLJkiXaOcDjva+Z0TbR8UmuXbsGAAUFBVQ7qjW7d+8GgJycnIMHD6pzfGxsbFZWVo0aNVTTBkuGStsbNmyoGmzMLV87cFcls/+Dgbt2cfZH0XFPID09PSgoKCgoKC8vjyuXvg7v3r3LzMy0sLAgXVEOA3cOM+5kkBPfiG7dusXFxW3atGnkyJEqZSFN6Txx4tWrV+vWrXvr1q0dO3aMHj2ax+NFREScOXPG1NR02rRpUVFR4eHh48aN++iFOmjQoFq1asXExJCyuzr07du3fv36zZo1+2jcpl8MGjTI2tr63r17t27d0uhEpVI5ZsyY2NjYVq1aUTZaa6ZMAT4fgoIgLU0XM8Vp06bN3LlzP59ay8uDpUvBxweWLSu5fLWwsHD06NHW1tavXr3avXv3iBEjrK2tO3XqtHz58ps3byr/PZcy7uW7xj03N/fAgQMDBgy4evWqhYUFn8+PjIw8dOiQ7pYpyCZJXK7gvGiez+f7+Pj4+PhofHedPBlOnYJKlSA4GBITHy5ePOTCBYlEMn/+/I9mAXJycvbs2ePs7GxjYzN16tQrV65YWFhMnjy5WbNmBQUFfn5+unwKBwcHV1dXmtmkF/B4PNIe9fT0DA0Nffv2rZon5uXlDRkyJD4+vkOHDoGBgbRu0Y6xYwEA9u6FggKtbXyE6OhomUz2008/cWjn0qVLb968Kfl4Tde0nK+Bi/Ml6m9K4MyZMwDQu3dvKysrANC9CJi+cSsrK07cI1xcDnTuHPDiBWdzg6ks+9ixY1wZXL36ZatW5/z8/tHu9HHjxj148ODBgwcTSXhLf6B1dosWLegnwUkBWZs2bQDg2rVrupsiSAyRw++2sLDQwMCAx+Pprk+akpJCVyMAiEQic3NzX19fNaX9V6xYAQCDBg1S/+1u3Lhx8eJFRDx79uwjKn7UW2bPng0A9vb28+fPDwgIuHDhgjrKG56engBgaWn5oW60Fjg5IQBu2qS7JUTE4ODg2NjY0NBQRExKSvpMV8/mzUjqvQcOfFTdhkZ0KZVK+b+yRffv3/f19XVyciqaYrC0tBSLxZs3bxaJRHw+/0PFPXd392Iv9A65XP7XX3+NGjXK2NhY9VsDAB6PJ5PJOBEIp81Sbr8iUhkuNk9NF1TSwwsXLtTm/JgYbNgwuXVr+5o1vby8VGKOKgU5hUIRFhYmkUhIWQ4ABAKBk5NTYGBgVlYWIkZHR5OYz71797T7CHK5nNqK3r17p7WRr8/8+fOLlmNVqlSpY8eO7u7uAQEBYWFhH5W5VCqVtHqvXbs2J1o6zZohAAYH627pf0yZMgUR09LS5s+f/5lDlUr8dHhJ4jBkx8rKis/nOzo6ymSyBw8efPR40vNYtGiRmn7OmzcPAH788Uc1j9eUrx24Hz9+HABcXFxIbkn9XrdPkZiYCADVq1fnxD3CxgYBkEMZKNKAO3XqFFcGFy9GAFy5UsvTVZJG9DPQF16/fk2JhFatWhUUFMTGxnKi10mbXxzKfnl55dSrd3/t2idcGaTpB1xd5Eql0t/fn2pYNVpMvnnzxsjISCAQqB+DhoaG7t27FxG3bdvG4dLo66NQKHr06GFqalos8WFoaNi4cWOxWCyVSumhWFSX9vDhwzweTygUXuBo3um+fQiAjo4c6IvduHHDyMioatWq6mZP5s9HWuBFR+NqzcZRZWRkHDlyZNq0acUyr3w+v1KlSjY2Nvb29vb29q1btxaLxVOmTElLS0tLS5s8ebLmH6uUuX//vlQqtbGxUX3Ajh07+vv7v337tqhAeHZ2ttZvQVEX1TFv3bqVK89zc7F79yXt2w/gcODx0aNHp0yZcvbsWe1NJCePdnYGAFNT05UrV1apUgUAmjVrdvbsWZlMVnRX09HR0d/f//Xr18UM0EylHj166PRJ9IojR47w+Xw+n9+3b9+OHTvStMqiiESipk2bjh492tfX9+TJkwkJCYi4dOlSADA3N+dqfeLriwA4YgQnxvDp06d5eXnLli1DxMzMzJ9/LlGo/vVrHD8eN2xAV1f82JgIVeA+Y8YMZ2fnogUtDg4Onp6e165dK9qfTd1le/bsUdPbnj17AsBff/2l/gfUiK8duNMu4ZAhQygVofuAAyqeq127NifuEZUqIQDqICBRnB49egDAuXPnuDLo4YEAuGaNlqerAi9OsoBfgfDwcIlEQtcMCYQPGzZM91UfImZkZACAsbExh3PyRo9GAAwM5MoeXrx4ETiatqiibt26oLmsE82o9/T0VPP40NDQYcOGyWSygQMH6nXg7uXlRYmr9evXu7m5Uc3Sp+odbW1tu3fvPmLECLpi/f39uXIjLw+dnVfZ2FTTcWDwq1evqIdh1qxZ6p6ze/f77NmWLfiBJJH6PHny5Jdffmnbtu1HN+JbtWo1duzYtWvXrl279kuMCueKtLQ0yhokJycrlUpqCyla9uPg4CCTyYqJd505c4YyVu3bt9dgIAMiIiYmJvr7+3fs2HH06NGISFuOOg4GKcqtWwiATZtyZQ/xXyHwtWvX6mJELpdPnz4dAHg83qxZs4p1/NevX9/b2/uffz65+ZySkkK/02Buc79llcjISMov/PTTT3FxcZRrnzBhwowZM6ZMmTJ06NCGDRt+KFBYoUIFSjFwmF588QIrVEjv3n2n7k/qV69e1a5du1OnTurOfffzw7t3ERHDw/Fjt1/V6pR+xdnZ2cHBwRKJRLXkBgArKytXV9egoKCsrCzqkbh//76aDtNIx/j4eDWP15SvHbhTL/DIkSPp0tFdml7V4cSJe4SpKQJgVhZnBkl2PSwsjCuD7u4IgHoiTqU9pEmi6uUSCASDBw9etmwZ3btr1aql3XMrLy8vKCioY8eOly5dolo0BwcHDt3u0AEB8OJFzgz+/vvvADBmzBiuDCqVShMTEwDIyMjQ6ETqDbKyslKzaKd8ZNyPHTtGGaxTp06pVAgo1z5o0KDx48dLJJJp06aNGjXK0dGxaFbe1ta2c+fO3DpDm7C6jN6Uy+WkbNOhQwcN9qwKC3HdOly6FAMCMCkJ3d0/mspSk7Vr1wKARCJJSUlJSkqKjY2NjY0NDw9/+PDhF504yBXr16+nRe+8efPmzJmjWoRUq1Zt3rx5JZTwRUVF0baDra1tRETEZ98oIyPj999/79mzp0rmpUaNGi9fvqRCoyzunlI7diAAfvcdV/YQ/33wfag8qwWqTUJKjlaqVEkikYSFhamTcKHROXXr1uVwM6Fs8vLlyxo1asC/KqsfdpwLhcLGjRsPGzZsxowZc+fOnTp1qouLC0WrVlZWLi4u3PrTq1cfANi+fbsuRnJzc6mzq02bNupuVfn4YFwcImJMDK5Yof57yeXyc+fOubu7F93MoVu6UCg8d+6cOkKuNCalYsWKHGYDi/G1A3eSk6O8HZ/P190g9dM0adJEd1MqRCIEwIICzgy2a9cOdB4TW5Rp07gsdS2DJCQkyGQyaoSg34C7uztNSkLEZ8+e0VdqaGioUTozLi5OKpWqzE6cOJFiYicnJw6dr1YNAZDDxba3tzfopstbDLqzaNcZQi0Bv//+uzoHR0ZGUpXIyZMn1Zy6WtZ4/PgxZUlXr16NiFevXi0h125nZ9e9e/cxY8YsWLCA7nLffPMNt/48fPiQx+OZm5tnZmrZhEPF+tWqVUtMTNT45IwMXL4cBwxAAJw7VzsHEHHq1KkAsGHDhg//dPz48WIvyiDr16/fuXPn33//LRaLt2/fbmxsLBaLg4ODC9R4bCQnJ3fp0gUAzMzMjh49+tFjCgsLQ0JCXF1dadIc3eucnZ2lUumYMWOMjY2rVKlibGwcyN2+3rx5CIAcFuUqlUoqs+aqCvHIkSM0tqxJkybqfM8q5HI5qfj5+flx4knZJCcnhx6LnTp1oiWKUqmMjY09cuTIsmXLhg8fXr9+/Q9VPq2srDw8PEjotn79+ty6tH37dtCtToma+ylPp8GFdOsWLliACQk4bx7euaPdW1OLTseOHXk8HuW5VItzJycnd3f3wMDA8PDwD1eDp0+fBoCuXbtq977q8LUD923btlHAJBaLdVneFRQU/PLLLy9fviSZrVatWnHo5KpVHM8OaNWqFXAqxT9pEgLgtm1c2SsrKJXKkJAQsVisElJ0dHQMCAj4cJ2dl5fn7u5Ox4wZM+azQUxYWFgxs4sXL/7uu++EQmHt2rXNzc3PnDnDyUfIzUUeD0Ui5HDOMU0h5bCe9erVqwDQtm1bLc7dsWOHubn5Z0oMywsZGRmNGzcGgKFDhxZLn6SkpISHhwcFBclkMrFYXCzXPmDAgJycHNoauqPtk+NTdOzYEQB27typxbmkgyYSibTcABw8GAHQzQ0FAjQwwE+XKJQMiWpz9aP7+qxfv3779u3nzp0bPnx4cnKyppnvvLy8cePGAYBAIPD19S36p49Wyc+ZM2fChAlUJUhnUakbj8dbsmQJJ4m9nj0RADksyiVxrSpVqnBm8d/1nvo9gipIC8vc3FzTCiV9QalUjhw5EgDq1KlTQtdKfn7+/fv3AwMDpVKpi4sLVXTMmzevsLCwatWqAHDz5k0OvUpPTzc2Nubz+VoXjVBXqLm5+V0qfVGfu3dxyxaMisKDB7FFC9Rh4uTKlStpVdO2bduiETxhZGTUunXrCRMm/Pzzz6GhoW/evFm1ahUAzJ49W+t3/CxfNXBPSUmheS6NGzfWZZ5icHBw/fr1AUAikVAI0qZNG66cdHLC0FBERM3Hkn4SGhOrfoHUZ/HzQycn1KXnp+xQdGe8c+fOqh/DuHHjPnsT+eOPPygj1bBhw4+21KSnpwcEBND3DwAGBgZDhgyZO3euSqdJJBLVrFmTnoXLly/XcV5gdjbevYv37+P+/cjFbMT3dOvWDTjacSYOH77fubPbrFka7CGqyMvL2/TvXo92saO+oFQqhw8fDgDNmjVTJzJTKBRPnz49ffr0hg0bDh06hP/W+M7VITP9UXbu3Ala9Tzcvn2bHjzaD0m9cQN5PDQ2RrEYAXD0aO3MVK9eHQBUe2h6R9FSGa23PlTlH1OmTKEUskQiUQUEjRs3XrhwoaenZ7169Yr+I8miI2JAQACJ1QwfPlyXbtd/PxGKxZiQoKOZ/0F1Gr169eLMIuKQIUNAkx7BovTv3x8Apk6dyqE/ZQdSr7KwsNA0zIiPj6fmVKrBmzNnDreOjRgxAgBWrVqlxblBQUE8Hk8gEGjZn3DwIHbs+L7nTAeRt6KtGoWFhY8fPz5w4MDSpUsHDRpkb2//Ya8OtTb16dNn165dd+7c4URCoxhfKXDPy8vz8/OjhAEpN1laWm7dulXTOCksLOybb76hb6dRo0bLli1zcHCoXr26SCSSSqW6i+Uh4syZOGkS5uVxGbjTMuPJE25kRk6del8kUz5q3N3c3OLj4+Pj48eNG7dkyZLq1avLZDL1dUIfPXpEwsPGxsZFc9KPHj1yd3dXbTRXr1599uzZs2fPVmWtbGxspFLp8+fPlUqlr68vPUF79Oihy8ZuTAzWro1JSbh7N16+rLWZ4tBwqBIasDRl5UoEQO0k2vD/r7W4cqkM4uPjAwCVKlWKiYnRzsLdu3fpXsfJrUlFdna2mZkZj8cbOnToypUrDxw4cPfu3c82+icnJ1N1tS718YiIw4YhAI4Zg8bGyOOh5m2yWVlZPB7PyMhI9x6n0uLp06fUH0KTVrS2c+DAAVpKderU6e3bt3v37rW0tBw/fvyCBQtoj55uVra2tu7u7h/WxJ89e5bKUVq2bPnixQvtfHjzBrt1w4ICPHuWy84cUo/9vGyfJtA+g3YpsJiYGENDQz6fr2Nj9xfi0qVL9Og5evSopqEeFXyKRCJdkjsktWxtba1RGdJnOXbsGGXWVCqxanLr1i36aazXOtDp0wcBcPZsNDBAgQC11SMuuVUjIyMjPDw8MDDQ3d3dycmJCnFVOrAAIBQK7e3tXVxcZDIZKfCqtsgUCgWtmnJzczXSRv/igbtSqQwKClLNLevZs+fRo0dJHhEAHB0d1ewvfPTokVgsphsZVWWRVAs9Wenf69Wrp0tP9Js3+PgxzpqFd+7gjz/i9On4+rWuBTNyuTwgIMDCwsLMzGzevHmcPL+3bcOBAzE2lsulRSni5ua2devWrVu39u/fPysrS4unYE5ODg22BABXV1dKPpEeEwB07Nhx6dKlw4cPV7XSU/lNsf8W58+fp71COzu7y9oG3TExuGQJzpzJZeAul8uFQiGfz+dw4S6RIABu3Kjl6WKx2MvLy8vLa9iwYVy59CWQy+X0peXn52v62Dhz5oxAIODz+SdOnNDFB2qt1i5H+Cnu3r1raGhI29xFIQUJiUTi6+sbFBRUNKaUy+VUnfLtt9/q2qL3+DGKRCgQ4MSJCIDdu2tqICIigvYx1Dw+OTmZZP4SEhKKqm2WD27fvk0KP3Xr1l29erWzs7NqApqFhcXEiRPPnz9fQobryZMnNH3W1tZWu5A0KQnFYly9Go8cQe40RZAqN9RshlGHrKwsPp9vaGiodWQ5b948Ho9XrDapjODv708Lkrlz52pUeRUWFkal/5t0bnqjrWkd73jFSEtLMzExsbS0FIlEpJxL8WvJQzCePXtG1WI6acLeuoU8HpqZ4dixCIDjxmlhQ9Wq8aHS6EcpKCgQiUQ8Hm/p0qVisfijGj6WlpY9evSYM2fOqVOnaD/2/v37GnXrfdnAPTQ0tHXr1uSrg4NDUFCQ6k/BwcFUosDn8yUSSQmCQW/fvpVKpTR8wdTUdPr06RMmTKDvolKlSr6+vrm5uZcuXVLNe3NxcXn27JlGfmZno68vVqiA33yDJI/2ww84aRK2a4dt2qDWRV+HDx9WCYTR0qJBgwY6idoipqfjtm148SJOnvw+cP9ijctfCa7St4GBgbRAb9myZUxMzIkTJyQSyaJFi1TS0YaGhq6uriWMF0lISKDqYaFQKJPJ1N8OysjAgABs2hSPH8d16zAgACdPxsuXkRMNg6dPnwJAjRo1OLD1L716IQBqfX/Wl4z7pUuXdu3ahYi7du26qEku8cmTJ3Sz1n2CxubNm4FTGemUlBTKO/bv33/r1q0LFiwYNGhQo0aNPjpH2dDQsFmzZsOGDWvfvj1o3ZD6IdQd379/voPD1k6dNL2n7dmzBwDUX/WdPn364MGDiPjbb799ZkqUfhIfH9+yZUsAoOdasSlCnyU5OZlkgkxNTY8cOaLmmyoUeOECTpqEly7h8uW4YAH6+3MZuFNziDrKOWpy82Zcs2YdOnTQXqYpNTX14MGDNAkuMjKSw9kduuPv7z99+nQvL69vvvlm3759HTp0mDZt2ubNmy9fvlzCYvXp06ekbf/999/r7gNtkozWtv7tQ1TVhiQ3WezuZGNj06tXr/nz5wcGBkZGRqoyUxkZGVTL2rt3b00TLsXp1w8BcObM90n3hw81NUCC41WrVlXzeNplLapzWKyvoKji5PLlywcOHHj06NFffvmlTATu0dHRYrGYnLO1tQ0ICPgwk5qVlSWTyeh5U7Vq1cDAwGJNNtnZ2b6+vjQ+gM/njxw5cubMmaQGZWBgIJFIim4uyOVyf39/OtjExEQmk6mToSwsxG3b0NYWARAAnZ2RJtKkp+OWLe/lQYRCnDsXNUr03Lhxg3QD6D9hUFDQ4cOHqbGdlhbPnz/XwBwiIr55g+7uaGWF/v4YGYn79mGDBnjoEHbqhPoz0O0j0ODGoi+05s6dO1SVZG5u7uTkpJqqUK9evbVr16aoocwvl8tlMhmVzQwYMOCzpzx4gDNmoLn5++tnyhRctw4VCvz2WwwM1uaB5AAAIABJREFUxKpV8eBBHT8Tnjt3DgC6dOmiq6Ei1K+PAKi1youPj0+xF2WTS5curVy58s6dOytXrjx+/PimTZtCQ0M/2yaVmZlJP9XBgwfr3vaXkZFBZS2cVMopFIp+/foBQIsWLfr06XP+/HnVn+RyeWxsbEhISEBAAG3a2tvbq0QkKlSoYGJiwtkoiaQkha3tX926zZwxg5zRqOiRVJIWL16s5vGnT5+eMWPG9u3bx40bVy4Dd0RMTEzk8XgikWjDhg1aDBTPz88fP348/DucteSDo6NRJkN7+/d3rTlzcPlyTE3FZs3w1Ck8dIiDZFBeXp5QKBQKhRwWiQUEaJ02/R+nTp2i/pPNmzdzuKjQnaIZdw8Pj2IxblElE9VOWnp6OuXI+/Xrx0nV2bNnz0hBRVOZ4E+xePFiALCwsDh37lxmZua1a9cCAgJmzJjRuXNnkuoqilAobNq06ahRoygJ27hxYw5GtYSHI4+HpqY4btz7Aj8NoVKf3r17q3k8df8PHz68hGMSEhJOnjzp6+t75cqV0aNHR0REHDhwoJQD94SEBIlEQpkDMzMzmUxWcvHl3bt3Kc1J0YmqfO3OnTvVqlWjfx8wYIC3tzetLHk8nlgsjv1Ej3BiYqKrq6sqYi655Ovs2XdNm76/ebVpg0Uegu/JykKpFIVCBMBq1TAw8PN3tCdPnqhKeiwtLX19ffPy8nJycuzt7bt27erp6Ukl/uovLRAxIwOXLn2vLi8Sobc30twkDw9s2/b90mL+fNS2RapckZGRMWrUKIFAYGZmxufznZycgoKCNL2pBQcHUyl8zZo1PyriKZfLjx4N6dEDebz310/37njwIGZlIe2nvX79PinJ46FUilpnDRQKxdy5cwFg0KBBWpr4AKUSjYyQx0Od+9nKOpcuXZozZ87hw4fnzJnz888/q54QBgYGVHRI405DQkJUuTelUkndVI0aNeKqKmPixImglRTGh0ilUgCwtrZWOVnytZ2ZmRkREbF3715qk9i/f7/uPhArvL0BoEOHDrRx+ueff6p/Lk1WV7+z+fTp07/99tuzZ89+/PHH8hq405A17YSeVKi6XSdNmvThw+Xly5cbNwa1avX+lgWAtWvjkiV4+zbSgu7sWVywAAFw+HBdbw5UDdW4cWOdrPx/Zs3SaewgcerUqREjRnh5efXv379MBe7bt29//PgxInp7e798+TI0NHTdunUTJ050dHQsOteTMDExadOmDW0mt2jRgqs4GxFJH4ITmdHAwEAKx728vIyMjD4smkpMTAwJCfH393d1dXV0dFTtGdaqVcvU1FTrzqLiuLggAE6b9rxTp4H16z/UMOm+fPlyAPDw8FDz+IULFwKAmimtrKys0iyV2bx5MyLm5ub6+PhQVb6BgYG7u/tb9SZ0KJXKwMBAKtkUiUTu7u4ZGRm5ubm1atVq27att7d30RJ5dX5s58+fd3BwoFPEYvGHO2Lh4eHdu3e3s+tkaIg1amBAAJaQMLp9G7/9FgHQwiJt8OCRjz7R4pCcnCyVSqnazMTERCqVqtaLt27dIuFnQ0NDd3d3em4BQMOGDUteWhQUKDdtQhub9/fZoUPx8eP/d0BqKs6ahQIBAqCtLR47FvfZL6fck5+fz+fzBQLBp/5LqcPz58+pDbqYVPzr1699fX0pDGraNNPMDCWSj+94KJXo7/9+JkDnzqhphQLp4dB2c40aNQwMDLgawJmUhEIh2thwYqxMU7RUZvv27VOmTOnSpcuHpeGEtbV1ly5dqKSkYsWKXLWSI+KVK1cAoGrVqjp2fR0+fJimG5IQqrGxsTo3w/j4eG9vb1r+cSjxkZmZSXu+5Ezt2rXVL52nUQBXr15V8/hyXyqDiL/++ivoWNGLiIgHDx6kisGOHTtS5j4nJycoKMjFxYXEcOvUya9YEV1dMSTkI3mokBCsWBEBsGVLnSZRkPDRyJEjdfgoxenSBQFQRwXRMptxL4HCwsLY2Njg4GBSnm3cuDFlBm1tbStUqPD8+fPnz5/r8rArSkBAgEYJ5k+hqrz39PQkndw1n1ty5eTkhIeHb9iwgfZqOCtkioh48e23o5o1I1Xl7zScMUYpEvVXMtTAqWbFmkKhIM2J7OzsBE0UnbgJ3KnUNSMjY968ea1bt3ZxcdFitZSamuru7k6peltb28DAwL17936qRP6zFBQU+Pv70xVTsWJFf39/Sk3FxcWNHj2arvvKlStv2fJYnceNUonbtmHfvgtoTbJ48eKi8ltU0kNbP3w+XywWf1hkn5KS4u7uTukQOzs7mUzWqFEj2kBwdXX9aN9DSEhIixaO9vZ5ANiuXUn9/rS0qFw5uXJlq+7du+vppBuuiImJoUhCRztFpeIHDx4cHBw8ZswYVVagUaNGO3Zc+WxONizsfSGWtTWeP//5Wh1EvH37tpubm0ovtk6dOjQ3DgAmTpyoo+7bq1d4/DjK5RgSgppvyOsZr1+/pq252NjYoo+BtLQ0kmD39fWlZA/tg9HvsUKFCjt37nz58iVnhSX/dn2pX3/8IQ8fPqQ6wLlz59JFSCNpP4uvry8ADBgwwMTEhMfjcahN9Msvv1D2oUWLFgCwbt06NU+kD6K+InBYWNjGjRtfvnz57t27z4rn6CmkUM7J4vzWrVvUZ29tbe3k5KQaL2BoaDhkyJC//oop+ZH35Ak2bIgAWL06arFKKiwsPHv2LF3wU6ZM0fpTfEjlygiAOuqwnz17loZebd26tYR+pzJOamrqhQsXaFt4xYoVfD6/5NoM9UlJSSHtHY3iyGI8ffqU8iNubm7UeD1RPTXGGzduzJ8/n4Q7tReT+YCBAwcCwLRp00hU/qPK0Z+C4jT1LxUSuv1USQhXcBO4d+rUycvLy9PT8/vvv9cxsLhx44ZqxD1hZ2e3c+dO7QS2Y2NjnZ2dyU7Tpk379etHq0AjI6MFCxaoM722KBR8F11aKBSKoKAgyr8CgJOTU8nDVsLDw9u2bUsH0xg82gUrurRAxKtXr6rKhwYO/PXgwc+X6CgUuGvX+1+yoaHh0qVLy+sT7rOEhIQAQLdu3TixtnPnzqLT5gQCweDBg0NCQtSvfn77Fvv2RVvbZ5aWVlKp9FO1Dfn5+UFBQTTogCJIqvORy+V79+719vamB7CDg4MuAwEiItDBAZ8+xY0b9bs1gnPi4+NDQ0Npm8Xd3V0oFFapUoUrJR8q1Onfv792p6ekpJCY99ChQ+nBsGDBAjXPffXqlUgkEgqF1HTE4fzdgoIC8oqqZYyNjWkEScldBDS1t3Llyuq/Ea2fly5dqrPLZRdanJ//sF5TK2hNpWoHbN26tb+/v/ql82/fvk9vm5riiRPqpqXv378vk8lUs+ItLCxEIhFXox7i4xEAtZr1XG6hEchUmWxkZKRpPPMphg4dCv/KlmtBeno69Qj16tWL9tY6d+6s5o2UWrTnz58PAO3atdPOgQ+JjIwk/dlJkyYBwIgRI9Q8MScnRyAQCIVCNbcTk5OTAcDc3JyTmWglwHHGnZPW5sLCwg0bNpiYmJiamn62RF4djh07RrEXxdwdO3Z8SkXiWnHt2jWahAoAVHYPAG3atFHznqtQKEggkh517u7uKnHMVq1a7d+//8MSefV9e/v27aRJk+j0Hj16kAjdq1ev9HdCoRZs2bJF/SX+Z6EmcYFAQEu+Y9S8rCEKBfr5bafLr1evXsU2WJKSknx9fWvUqKF64EkkElV0fv/+fSMjIwMDgx9++IFuiGZmZtrJC6amYkQErl+Pbm4scP841Apco0YNeoRotMtXAsnJyUZGRnw+X4uudIVCQSmoFi1adOjQAQB69uypkdgCja2hnG7VqlV1FWoowr59+4oGiCpK6CL4+++/QcPpUaTNpbVIa9lHqVTSE0HN4tLPQr0Q1KmvviBGUfLzccIE7Np1zWe7XePj4319fVXSC/S+Xl5edL3RMljHwXaI+NdfCIA9e+poplxx/fp1ALCxsSGl120cjVI/dOgQaDuNXi6X9+rVCwAaN25Mdy17e3v1r2o/Pz8AGDx4MIl6cVX/g//eA93c3IyNjXk8nppzWG/evAkATZs2VfNd6PGhxWg8TeEmcF+9ejUi5uTk/Prrr5wYzM7OBgATExNOrOXn5wMAn8+nOFv3h7FCoQgMDDQ1Na1Zs2bVqlUDAgI0vTElJSW5urrSA69+/fpLliyhuI227E1NTZcsWaJ1x8mtW7fatm17+PDhWbNmIeKjR4/8/Py0M6WPUCc7V4In1FTep08fGl+vheCDigsXLlC/tbW1NUnohIeHu7q6qmSbGzZs6O/vX2wQo1wul0qldKm4uLgMGzaMDnZ1dVV/TRsejhIJmpjg7t24Ywfu3Yv9+uG9e6ihbmr5R6lUUhZ5+vTpwEWtp4pRo0YBwLJlyzQ98YcffqAUNVmoVauWphfhiRMnAKBu3brUMqHlGMKPsWvXLgAwNDT08PBYvXo1dREU1Tsrio2NTZcuXWiaSY8ePR49eqRO0T/JsVlYWHA7F6ZMEZsb2zi8scsZF64M0j7zggULAMDZ2VlrO76+qyjnNXHixGJJ0/T09MDAQFXpPABUqlRJIpGEhYUplcqMjIz+/ft7eXnRzc3Z2VmXBsrbt/H1a3z0CNWrDvsPQWtaSlF313yiwocUFhbm5+dTSx7NBtYIGjJqZWXl5uZGd63HxdrySuTly5cCgcDAwGDMmDHA6SZbVFQUn88XiUTUhNmwYcM///wzKiqq5LvKtm3bQBN9zHXr1oHuE+7U4CtNTtWU1NRUAKhYsSIn1jIzMylPOWjQIACgEjfdocKpbdu2hYeHa1fSdO7cOaqgAgB/f396pLVs2VJ3rWWFQpGXl9euXTuZTDZr1qz/VOBOvb+c9MUjor+/PwDQgCdTU1MdrSUmJpJOqEAgoAIDABCJRCNGjChZaPzo0aOUhKhfv/7y5cvp7tO6deuSS5bz8jAwENu1e9/czOejhwfu2IGI2LMnrlmDIhH6+ur9KABu+fHHHwFg4MCBXBWFS6XSsLAwquCqWrXq/v371Y9Bjx49SkO/aVvcyMhIiyE7CoWCyvmmTZtGH01TCx/l9u3b1IlRdGIxUUIXAd3Y6QXNFHRycpJIJP7+/iEhIbGxscWSIL/99hsADB06lBOfyyaHUw9DBPSL6ceVQSospmvG09NTJ98OH6YiPep2LSwsDAkJcXV1LVo67+LiEhQUVDSyX7RoET1zfX19aZZk8+bNtdhuItzdkfbyy8fMQQ6h6c7fffcd3azi4uJ0sXbq1CkHB4fHjx8PHDhQIBC0aNFCoz4fCluNjIwo1yASibSQeKaE/f+xd99hUR5bA8DP7tKbAmIBUVFBFDvGHkUlmliCJahRkaiIiUasiBUsRImJLcYoMcYajcTeDcaGJQZBAUEEEZEO0vu28/0xup8XFbe8wC6c35PnPnth32EWh93zzpyZs3DhQjZJwWHOCTtIt1I5pEploSoFcvPmzQMA+St2sVScHUqXNpSbmgbumZmZbGKSk9ZycnLYzR/7l7tw4QInzY4aNUo2q6H09nm2idbKyiotLc3X1xcAVq9ezUn3ysvL6+eM+8exH1s/sL6Vxc3C+oIFCwCA/a+Dg4PqDYrFYl9fX319fSMjoyZNmvj4+Mj5eRYXF8fyN/T09BYvXsyq8JiYmLxzBen58+dr1uywsHgVspubo7c3VkoQW7781XGWX3yhWJmCui09PZ0lhbPSIStXrlSlNRZ3NmjQYNmyZSwEZ3PPPj4+H6wTFxsbyzIovLy8WKaW0hnDfn5+APDFF1/o6upqaWmpsvOMefnyJTuNbvbs2XJewnYRsEOau3Xr1qZNm7drCrJor3v37hMnTvT19f3jjz+cnJwAIDAwUMUOq7PVaashDJakLOGkNfZ5Z2hoyNIDFDqp853CwsKsrKwAwMLCgs3FAgCfzx80aNCePXveedh2eXm57Fz5uXPnsvmpZs2a/ad4OUNWwOSXX/DqVQrcK0tMTOTxeIaGhmwldsOGDUo3FRkZye6uFy9e3LBhQ9kxDN26dTt48OAH5xouXryopaXFKoaya3ft2qVEN/bt2wcAAwYMYDkIXCXIFRYWsgLDffr0OXDgwOrVq8eOHdumTZs3N7AxFhYWzs7OCxcu3Lt3L8vRlz9iZM8PCQnhpM9VUNPAPTk5GQCaN2/OSWvp6ensw3LIkCEAoHqhH2bYsGGywN3NzU2VplgiO5ulUL1YIyMUCr/77jtETExM5GqHkEZoFtkMwuBFhQqHmb1h9OjRsn/lkSO5WctmA9LU1FTR1f+ysjLZQTcTJ05kH8w8Hs/Ly0s23RUSEuLq6srWr7t0ye/eHQMD33sq87Fj2KABAqCtLUZEqFEdwdrF/tHZ/LSVlZXSxU3u3LnDAu5FixYJBAI+n//tt9/KajxraWl16dLl8JnDUpQuXrxYKBSWlpY+e/bs9u3bJ06c2LRpE5s3HTt2LAubFixYoPQrevHiBdvBxlYd/f39lW4KEUUi9PA4xOfz+/btq+j+XfbxyVbhhUIhKxq1detWT09PVjTq7VCe3fk4Ojq6ubkFBAQEBQXdv3+fw8o+tW5cwjgIg4M5Bzlp7dq1awDQu3dvlvSlRMLD21JTU9u0acMWCTt06ODn5yfPIrPsXPnJkyez2q56enpy7s958QK3bsUuXbB9e/TyQpEI3d1RvSs11w6274VNUSt9cH52djb703NxcWF/oc7OzmvWrJGlvTVv3tzJySmvIi87O/vNecDi4uLk5OSTJ0+yU/Xmz5/PFliWLFHyLrS4uNjQ0JDH47E9Et9wca8mFotHjhzJfj+VtvDKypqyonXvPCy4RYsWI0eO9PPzCwoKevTo0fsWAcRiMVv34GqXcBXUNHBPSEgAABsbG05aS0pKAgBra2tWXECh4udVYDtCWJEz1c/fRUSWqVavZsc5VyYp44XxtMO1xVIOKskh4qTBg/W0tNiMO1vBUN2dO3cA4KOPPnJwcLCxsVF0ffPgwYNsndre3l5We7h79+6rV6+WZV7p6upOmTLl3r0Pb+55/hx79sSPPjqvr6/P1VHxmu7cuXMAYGdnx8pBnD17VolG0tPTWcA9bdo0lhwimw+7f/++p6cnO1Gqw74Obf5t09Ot58JlCyt9YNjY2DRp0uTcuXNGRkZOTk4qbiplm+BZ7r6NjY0q+wXnz0cAHDr0YlpamkIXikQibW1tPp9fRdidm5v777//7t+/f8WKFSxX++3NrwCgra1tZ2c3atSoxYsX//rrr9evX79w4YLs2P6bN28q/epqnt0jOwiDiFK5Nsx9UNZvv4UOHHjO23tKhw4WJiZcnYw0depUULyO2JvnyrODtKve7Zqbi4GB+PHH/1/brmlTnDEDJRIMDcVevfDHH9HLq6q6K/XNjh07AODTTz9lQacSZ1yWlZWxQ40cHR3ZAlfXrl3ZVquKior9+/eznccNbRoaPTByC3P72ufr9u3bN23aVDYrzz5xxo0bx9oZPXq0Km8vX375JQCwNBUzMzOFzud4pzlz5gBAo0aN5Ml7TEpKOnv27Pr161ku9NtMTU0HDhz47bff/vrrr/fu3SsuLmYXPn78GLg4h1oeahq4P0l50mdVn5F+3ExwvkhIGGhtPb5PH1dnZ5uGDUPv3uWkWZaSzqJtTu4LWUriTz/9pHpT9VZsWSyEQZtHbThrsWFD1NIqmj8/t2vXxJ07OWny8OHDAODq6spCN9lfvvweP34sO2Fm9erV1tbWPB6PxTfNmjXz8fFRKBeirAznzVvC3pXc3NyU6E8dI5FI2OQiC3OVKFsrFArZNMGAAQPYltDRo0dXmqpJT08f/vnwBjMawAKALqC7UFegI2hq3bR3794uLi5Tp04VCAQ6pjpx6XGPHj16Z6kHhRw7dgwAOnXqxJKsqi79VoVDh16VcFYiNn7y5IlCMzKXLl0CgMGDB+fm5oaEhAQGBvr4+LAaNG+n2fj7+2/ZsiUpKWnLli0aFLiXSEr4YXztcO0KKTcRNnp4IAAuWvSqkBJHWBrA8uXLO3Xq9Msvv8h/4YMHD1jaQ5s2bZYtW8bm4CdOnPjmzVt5efmJEyfGjh07ZMh9Fq8bGuLkyXjxIorFKDvx/+FD1NNDAHRxoUrhr+Tk5LD8N1ahWf4an4xUKmU7QVu2bMnuzZo1a1bpRFepVHrx4kWLDhbgCeAGfA++lsGrHckGBgZWVlYso2/Lli1Pnz6dOHGiip8gbDN9+/btWYEIFTcl7thR7ug4VE9PT/6Kb8yFCxcAYODAgWFhYXv37l2wYMGQIUNkBwnK8Pn8tm3bjhs3jp236+zsXN1nQaLaBu6RpZEQBp1iOnHTXEwMAmD79ti9OwIgR/XSevbsCa+XqLy8vFRvkK0NKZcZRphLBZcgDIbEcXRsWH4+AqCREbq4IAAeO8ZJq2z7IwsKld7IUVRUxN5wHR0d2b2+jo7O8ePHlZ6XlU3kd+jQQfXt0Zpu1apV7OaKfSgq+gthf8stWrRg0zb29vYF79pGsHHjxpjYmBN5J6wnW/Nu8SAMIAx803wDswMXpSyy+cUGBsG0fdwcbCoSiVhdHk9PT1B2W87Dh2hggACo3LvUmTNnAGDYsGFyPn/btm3wnlMaysvLIyMjjx07tn79+q+++qpPnz4HDx708PBgJXI1KHDPEGZMSpw0NmFsuVTVmcVXevVCAFy8GAFQtRxOGVkaADst5INVMCtJTU1l5VlMTU03bNjA4ry+fftmZGSEhITMmjWLndkFAPb2rkOH4oED743Lb91CtnWnc2c6FOsVlv/GqiNbWloqlNrHdtYZGxuzVWV9ff179+6985kzZ86MKI0YHzpe4CGAkwB/Q/+o/jminPXp6z//+3PoAJYbLTl5OSKRiKXosEl3VWpLXbiAAgFqa4uOH3/3i6oCK103b968Sl9nkwgsu69fv37soAiGbRIwNjZmeX1sw70qJ9G9j5oG7vdL7kMYdH/cnZvmHj5EAOzSBTt2RADkIucPXxcLYMNd0dvcd1q27MLAgQFHjnCzYFo/7czeCWHgkcRRxb7wcATATp2wSxcEQMUP9HgnFjlxUmZi9+7dz549u3//PgB07txZxY7FxsZ26tSpd+/esh2HXGUHaRxZUjiLvNl2ETnt378fAPT09Ni9mYmJyfuKGd++fZsVED1//nxsSaxPio95hPnfhX9Pfz4d2VGkvcFqkhVXUzhsq8aXX37JzlxT9BMlJwdbt0YAdHdXsgPsnGb5pznYGvfmzZvlefKNGzc0MVVmS+aWFakrfsj4wSfFp0ii8jSyRIJGRgiAM2ciAG7cyEUfMTY2lk3KskOxlCgMUlxczLaOaGlpLV26lO3fYInRTNeuXTdt2iTPHXJcHNrZIQCOGhWgxG7XuicoKAgAevTowdLT5V9MCwoKYjvm/fz8BAIBj8eroh7z0aNHEbGoqOjwmcN+aX7mEebDnw5fkbriQemD4pJiwzaG4AMKHf5YBbaVS8XaUtHRr3ZwVVmH4L3YvNgHT8cXCoWRkZGHDh1iW0pkt6BvatWq1eeff75ixYqgoKDY2FixWCzLiFb0HphR08D9bvFdCIPesb25ae6//xAAe/R49efO0an+bAWc3RQuX75c9QYnT0YAPMjNDqV66mbRzbkv5h7NPZoq5GLO+MQJ9vnw6g0gJ4eDNl+feMV2Ryh9HtGbWBaEEhkdbysuLs7MzJw+fXpeXl5eXt706dNVb1NDDR06FADYycTyJ4X/+++/lTaknjt3Tv4fWiIpeVHxYnnqckQUiUSNRjaCgZwdU/DkyRNTU9OlS5ey/TkODg5z5szZvn375cuXExMTP/gC4+OxXTvs3RuVTjplt6zyl/tgfynnz5+X58kpKSmPHz9GxMePH2vKktHt4ts/ZvyIiEWSIm4C97g4BEBraxw4EAHw0iUOevk6NBw1ahSLS9LT05VoRCKRsFtHHo936dKlpk2bNm3atHHjxl5eXuHh4Qo1lZuLHh7nWKrGX3/9pURn6pKysjK2i4a9Wc2ZM0eeq0JDQ9n2Ax8fHyMjI1DwYIwiSVFSRZJb4qslnalTp4IPZ2fi3bt3DwCaNGkyePBgeNeBsx+UnY1t2iAAuroqed4xS0aV/86Q1Qx+/Pjxy5cv//nnn61bt06fPr1Hjx5vTskzgwYNmvl6n7WHhzKTjFpv3xyoAyEKAUCHp/PBZ8pFJAIA0NH5/wdcEAqFACCVSgFAVkNHFZz2rj4qkhT9lfeXicAkV5K7PmP9z9Y/q9ri8+cAAE2bQkEBGBuDmZnKfWStPgcAkUgEALIK4ao3yElThoaGhoaGhYWFe/fuBYDi4mLV29RQHh4ef//9d0hISKtWrV6+fBkXFyfb+/s+mZmZX3zxRUVFhbu7+759+yQSybp161gFQTkZ8A10tXWflD8pk5ZV8Co+GfrJkeNHfvvtN7ajRkV2dnYZGRklJSVdunQxMTGJjo6Ojo6WfVdPT8/FJVQs7mhnB3Z2YG8PtrZgbg6//QaWljB8OFy4APfuQVkZ6Ooq2QGW487mBeV/Pqsy80FsKzAAfPCfSX3Elcd1M+gGAEZ8I25ajIwEAOjcGf7999UDLkRFRQFAy5Ytz549a2FhwXKuFMXn8zdu3Ghvb5+cnDxs2DCBQJCamhoXF8cqvCrE1BR27hymqztnx44d48eP9/X19fPze+cm5vpAT09v3Lhxe/bs0dLSunz5Mjs9r2pJSUkjR44sLS2dNGnS4cOHi4uL3d3d2bl2cjLiGxnpGDUQNMgSZzXWajxlypQD/xw4dOiQr6+v6v8QPXv2bNeunZ6e3meffXb16tXvvvtOKpV27ty5Y8eO7B6jamIxfP45JCRA795w4AAo0R2hUBgXFycQCBwcHOR5fkFBQVJSkr6+vq2trUAgGDx4MLvlAACJRJKUlBQdHR0WFhYTExMdHe3g4JCQkMCO6GVhpKLUOnDX5nGWna/LAAAgAElEQVQQDQMAsF+Njs7/P+ACC7xY4K7DRZuc9q4++j3n94lmE/sa9pWC1CvZi4MWWeDO3ilsbDhoEAARk5OTeTxeQUEBqF/gzjRs2JDlgLGU1vrJxcWlcePGUVFRhw4dcnFx+eAHhkgkmjBhQkpKSq9evcLCwnJyclxcXFgtEoUIeAJ/S/+AzAA+8Kd8NuXo9qNB/wVt2bLlnYuwitLS0nJzc0tOTu7YseOaNWueP38e91pqampsbPOIiP95vrk5TJ0Kt27BgAEQGwsNGsAb2Q0Ki4uLA7kD8bKyspSUFB0dHVY9qk5qr9f+evH1wcaDOWsxKgoAoFUrOH8eGjWCZs04aTUyMhIA2Nwh2zKoNFakJjc3NzU11dDQkG2VVoKWltbPP/9sY2OzZMmSNWvWdOjQYfz48QCQnJzM9sLWK5MnT96zZ8+BAwd0dXUzMzM7d+7cvn3794UlQqFw5MiRmZmZzs7O8fHxycnJ/fv3DwwMVOLn+jT1WZe+zoBvMKjnIJPzJk+fPv3vv/969eql2qsBALhz546ZmZm/v7++vn5SUhLbNcTj8Vq3bt2lS5fevce1bj2pa1ewsQHZUexiMYjFoKcHYjF89RVkZ8OpU6Cnp8xPj4mJEQqF7dq1Y4sSH8QOXXVwcHh707xAIGjdunXr1q1Z5R8AkEqlX3/9NSuepdwnrJoG7iIUAYcz7pUCdy5mx+F/Z9wpcFcHqaLUCToTAIAPlasqKKldOxg6FBo3Bl1d4CgsTktLKy8vb9KkSUpKCnAUbbOy8BwG7my305sP6iEdHR0XF5fdu3d7e3ufPXvWzs6uXbt2dnZ2dnZ2Dd4VvUZFRYWHhzdv3rxp06anT59u167d/v37lZt8stezX9NsDXs8uOXgK/FXjhw5wtbBVeTr63v+/Hlzc/MzZ87Y/O+9aFFR0dOn+k+eAPsvPh7i4kAgAB0dmD8fNmxQ9UcXFRVlZGTo6+uz/OYPio+Pl0qlbdq0YUUJ6qRehr3ul973Tfc14BnY69lrqf6JvHIlfP45FBSodIP1Fjbjzj7yOnMxi8/uBDp16vR2BRyFLFq0yM7O7v79+1euXGGB+7p163799VfVe6hZbt++zefzi4uLf/jhB/YVLS2tFi1adOjQwdHR0dHRkR09zN6OdHR0li9f/sMPP5iYmFy5csXGxubEiRO6Sq2jNdduvt16O3s8U2vmJth06NAhTgJ3MzOzixcvrl69WiqVTpo0SSAQREVFRUdHJyQkJCQkZGUNv3ULAMDICDp2hM6doXNnsLCAzZvh1i3Ytg0mTAB3d+XXBtn4lH+oR0REyP98Pp8vu/tlWyUVpaZviH0M+/zR6o9GWo3SRGlporQeBj1Uas7CAlxdoVs3MDSEoiJ4K+VIOexdTCKRAKepMhzdVtRHPQx6XCq89JX5V8VSjhI8JkyA3FwoK4PwcJAv2vggFmTb2NhwOE0uFv/Yq5dH69Z9VG+KYeUq3nxQD5WVlbEKSunp6UePHn3zW6ampq1bt+7QoYODgwObTenQoUP37t3v3r27a9eun3/+2djY+MSJE++M7xXl4eFx5cqVwMBA1QP306dPr1+/XktL66+//rJ5awXJ2Ni4Wzfo1u1/vpibCxs3gq0t6OvDgwcq/XS2cc3W1lbOWE2hPBnNNcdiDpfNHTgAz56Bnh4YG8PSpZw0WVRUlJiYqKurm5GRAQCyCmKqUDQwqsKoUaNGjRo1c+bMs2fPAgArHFuvHD9+nOVdeHt7GxgYREZGRkREJCQkPHv27NmzZ6wqBQCYm5t36dKlU6dOnTt37ty585AhQ3788UcTE5MzZ868fcqhEiZPnrxp06ajR49u3rxZ9YgoOjp64sSJEonE399ftm4pFoufPHkSGRmZktLFxAQiIyElBf7991Ve2MaNMGAA/Pw6Q1bpqB1e36nKPz4VfT7bdv/mA4WoaeDul+7naOAYWx6LgKmiVFUD927dYNIkuH8fbG1h7lwwNuakk5zPuOvqgqkpzbgrz9XU9fec31ekrehm0G2A0QAOWly2DPz9oUED+OorOHSIgwZfp7W0bNnywYMHPB6PnReuotu37YuL7etuQkHtmD17dnR0dJs2bQIDA9PT0588eSLLKsnLywsLCwsLC5M9WUtLy8bGpnHjxnfv3uXxeIcOHWKb11U3ZswYCwuLyMjIsLAwdqaecmJiYNu204i4ceNGtjlVHmZm0LYtCASwaBFkZ4NQqPwblEJ5MrLny58QTwAAbtyA/fsBAGbOhIoKlYKX11gaQIcOHVh0wkngzmFTMs2aNQOOPos1SHh4uLu7u1Qq3bRpEzucmhEKhfHx8bK86tDQ0MzMzKtXr169epU9wdDQUEtL6/jx42wXpuq6devWsWPHR48eXb58WcUZn4yMjOHDhxcWFk6YMGH58uWyr2tpaTk4OLC8c29vAIDcXIiIgKgoiIyEtm2hVSu4exckEtVeieI3lhzeiMpDHQN3IQoLJYVTzaYCQHhpeKooVdUW8/Lg77/hl1+goACWLAGlcrnexgJ3W1vbXr16NVMhlRAReDwIDoa1a6FbNzh1ipPe1Uc84M0wn8FliyIRsBrIbdtCejonk+4scDc3N6+oqGjWrJmcKXRVyM6G4mIwNeV2bby+27Jly759+4yMjE6dOvX2B1teXl50dHRMTAyb04qOjn7y5El8fHx8fHyLFi0cHR3fV3VPCTo6Om5ubps3b969e7fSgXtBAYwZA/Hxe7y9Ry9YoFjfPDwAAA4ehJMnoX17+PprZTqQkZHh5OR09OhR+fNeFN3JSgAAZCm2BgYgFHIVuAOAg4PD0aNHBQIBJ3ekQuHAvn1LOnfurXpTDI/HYyWijDmamNMIaWlpLi4uJSUl06dPfzNqBwAdHR1ZjMukpKRERUWx+fh79+6lpKTY2to6Oztz2J9JkyYtX778jz/+UCVwLysDb+9DL1686N+//wezDc3MYNAgYBMRN25AVhasWAFdu8KCBUr/fAAFA3FEZLv8ub0R/cCPVDcV0oppz1/VHAkrCdvzco+qLT54gLJa7l99pWpriIh4/fp1Np5CQ0OVbuTlS/TxwalTERF9fXHCBBSJkIsarIQjbm6vjpLy8MD3F2lXyIwZM+D1WZB9+vRRvcF79xAAu3NU84AgYkhIiLa2No/HY0cXy6O8vPzRo0es+HHv3hydY/tabGwsj8czMjIqUqpcpESCI0e+KmVRUqJkH44cQQB0dFTyctnxZ7IHH8QyZbk6CrO+mDcPb97Ehw+5+qTD16fps93q7du3V71B2VnzspKoqot9fcpzLEfHPau/oqIilio9YMCAigrFyu4WFxcbGRnxeLyEhAQOu5SUlMTn8/X09PLz85VrQSpFV1cEwDFjditaaCIrC5OTERGDgvD2beV+PmsnCwBMTEzkLKDx9OlTALCyslL+RyqIoz18nNLh6RjxjQ7nHj6SdyRXkstBi61awePHAAB5eUruMX5DTEzMqFGjnJycEBEAevfu7eXlxU4IkV9pKaxfD61bw/ffw+HDkJQEAPDVV7B9u4q9I5yaMwcWLAAfHxg0SPWRw7AZdyMjIwMDA46OlAEArrbOEkhOTh43bpxIJFq2bBnb7iYPXV1dBweH77//3tTU9N9//42odDiLatq1a9e3b9/i4mJ2ZLW9vf2QIUO++eabLVu2XLhw4enTp2KxtIrL16yBc+fAzAxOnAClF3jGjgULCwgLUzLTHRGvXLly5cqVvLw8OS8ZMGDAoEGD6nyOO8d+/BGysyEmBn75hasm2ewjWyrhJBkgIQGKi8HaGszNVW/sFdk4qScDRiqVTpkyJSIiol27dqdOnVI0QcjQ0JDV/Th8+DCHvWrRosWAAQPKy8tPnjwJAKdPnw4ODs7MzJS/hVWr4K+/wMQE1q71UDTz3sICmjeHP/+E8eNh7VrFev4mkUj09ddfT548Wc6jBWo4TwZALWfcEVGK0v9K/gstCS2SFGWKMjlo8dw5XLECly7FtDSl28jKyvLy8mLvX4aGhgsXLly2bBn7g2natOn+/fvluT8Ti8X79pVbWSEAAuBnn6GfH37xBfr6Ym4uLlyIY8cq3UGi1oqLi3/99VdW7vvkyZOIWMbFLH5AAALgokWqt0SwrKzso48+AoBPPvlEocrhMmwL6duFslW0b98+AOjbty87jKgSMzOpvT2OHo1LluDu3XjzJgqFry48fRr5fOTz8eJFVfswfz4CoHzVXSqbOXPmzZs3b968OX78+A8+OTs7e8eOHYgYERHB/lJIbZFKpay4j6+vr7a29rp161Rv89gxBMARI1Rvqf5iiTFmZmZxcXHKtXDhwgUAsLW15bZju3fvBoAhQ4YgoizPrXHjxs7OzosWLTpyJCs8/L0V3P78E3k8FAhQkZp1leXkoK4uCgSoVJUw3LZtW0ZGBiLKX1Vz9erVAODj46PMz1OKmgbu6qa4uDggIIAlz2lpaXl6espKx8XGxsrqHQwYMIDt43mf4ODgLl26DBx4ki06r1r1qoQ4K1Cdl4cvX6KTU428JFKD4uLiFixYwD7/AIDH4+np6f3666+cNP7nnzhyJP7xByeN1XfskOlWrVplZ2cr1wKbazczM+PkrkympKSEbSbr37//5MmTZ82a9fXXX0+ZMsXZ2blbt095vFdvI7L/CgpeXXj+PDZogN9/z0EfHj1CI6PCoUN3lyiecKNQqkxaWtqqVasQ8c6dO3v2qJwqSZRSXl5+5syZCRMmGBsb6+vrp6amCoVC5ZK1KvHzQwBctkz1luqpPXv2AIC2tvY///yjdCMikYgV0lIl3fdtBQUF+vr6fD7/8OHDHh4eAwYMkH3wAUDz5iIA1NJCBwecOBE3bEDZG+2tW6iriwC4Y4eqfXBxQQDcskWZa/38/FJSUlCRmqbjxo0DgEOHDinz85RCgfsHiESiwMBAWaE4Z2fnt0NzqVS6f//+xo0bs78lLy+vwsLCSs+5f/++rJKWnV3HNWtE/fq9+oi1t8egoJp6PaQGSSSS4OBgV1dXWVEGR0fHHTt2yE6AmjJlSnFxseLN4rlz+OOPiIirVuH164iIGzZw3fv656effgIAfX39sLAwVdphm+QOHz7MVccQ8cKFC3w+/82PQEZHR6dXL9GoUfjVV/jNNzhzJo4fj8OH48SJmJKCxcX400+YkqJk0e+3OTkNBoB9+/YpeqHsbbPqqQ0mLS1twIABfn5+M2bMoMC9hkml0pCQkFmzZpm9LhTNFpmbN28eHh7OyY8YMwYBkNO/j3rk2rVr7LDF33//XcWm5s2bBwDz58/npGNMaWmppaWlLAu0adOmn3zyiaen54IFC7y81rm6Yvv2KBD8/xRDauqrC//+Gxs0QC8vDvoQFIQA2KOHMtf6+fktXLjQz8+vhxzXS6XS4uLimzdvbtiwoSY3V1DgXpXg4GDZgRI9e/a8ceNGFU/Oy8vz8vJiIZqlpeX+/ftl35o+fTpLljIzM1uyZMnEiQt0dBAALS1x925UakGeqLX8/PzAwEBZ6XVdXV1XV9c7d+7InnDo0CFWidPe3l6eUOZ1sxgYiO3bIwDq6GBGBs6Zgx4eWFFBe5pVdfv2bR0dHR6P9+eff6rY1K5duwBg0KBBnHQMERMTE83NzQFg8eLFly5d2rZt2+zZs52dnVu0aGFq2rrSXDsADh+OU6finDlYUIDcrt+yqb7+/ftz2ehbaMa9Vjx//jwgIKBt27ay28IOHTr4+fk9ePDAycmJJYhykrk0dCgKBBgZqXpL9Ygscy8zM3PgwIGcJGaEhoayPBaRSKR6a4gokUhGjx4NABYWFn379q1UyMLcXKKtjR074oQJOHcuLliA336LI0fikydYWorr12NCAjfhUFkZ9u9/tV8/t5iYx4peq9CMe2Fh4cKFCxExMjLyp59+UqKryqHA/X+cOnWqoKAAEQ8cOCCrT2tnZ3f8+HE5WwgLC5OVDRs8ePDjx48RccmSJTo6OlOmTHFzc2OR/dChoevWoeKTrUTtiMViNmbKy8tLSkrCw8M9PT0NDQ3ZGGjdunVAQMA78y5iY2PZ6VH6+vq//fZb1T8lPDx89uwKff1XkVnr1ujtjceP47ffYlgYbthAgbuqYmNj27dvv2TJEtWbKioqYic2KJ1+Wqk1Nn3g4uLy9i6akpKKhw8xKAj9/dHNDXv1QlNT9PTEuXNx7148epTjwL24uJht0oiOjuay3f+Vn59/4sQJRHz69OnNmzer7wcRRMzJyQkMDOzXr59sK56VlZWXl9eb604VFRVfffUVS/Pz8/NT9Efk5mJgIIaEYGEh7tyJiHj/Ptab01+4Icsx8/DwKC8vl0gknDTLzou8qPoOGERE9Pb2ZhOUrNoaIj579uz06dP+/v5Tp85p1+5/5toBcPBg9PBADw8sLsbFiznpwiseHh4AsGLFCkUvPHfuHDsS5w850k8LCwunTJkSHh4eFBREgXutWbVqFUtenzlz5qZNm8zNzQMCAsrft5PiPSQSyf79+9kMmZ6enp+fX0JCwtKlS1mKvLa29psp8kTTJSQkrF+/HhGvXr3q5eXFPvn4fP5nn312/vz5qt9eS0tL2fsLALi5ub2dOlxRUREUFMSO2h0wIILHwyFDcNUqHDECeTy0tMTZsxERfXxwwoRqe4V12sqVK2UP8vPzlduQ+rZp06YBwNKlS1VsRyqVspNt2rVrJ/8JaxUVOHcuSqU4aRLHgTsienp6AsAi2g2tsWbNmsUeeHp6urq6yk7Wb9CgwfTp069evfq+d62tW7eyqrfTpk2T5/zBigo8cwbd3NDAAAHQ1RXT0rB9e7x+HU+cwMuXuXxRdZ67uzurGjF9+nQOm123bh0ATJ48WfWm9u7dyyKcK1euvO85paUYGop79uC8eTh4MPr64rff4qlT+OuvHAfu165dA4CWLVvKeaSjcgoLC11cXE6ePLlt2zYK3GvNqlWrFi1a5Ovr27Nnz/Ly8rdT1eWXkZExdepUNochKwkxduxY2Z0oqRsSEhJmzZp169atn3766ffff7e2tvb09IyJiZG/hf3797MyTF27do2Pj2dfzMjIWLlypWxzRcOGDRct+nXhQrS2fjVXYWSE33yD27cjIubl4fr11fHi6j4lzheXx+3btwGgSZMmQtnxLkrZsGEDewNRdIabJZhERiLnO6YePHiwZMmSFy9eIOJLDg/iJjXFw8MjLS0tLS3tq6+++vLLLwUCgbOz8/79++XZb3PixAm2nNivX7/3HbMtlUpv3bq1atVpM7NXb1YCATo748qVGBuLa9fi1Kn4558UuCtm7Nixe/fu3bt3r5ubG4fNPn/+nMfjGRgYqLjt+ObNm7q6ugCwky2pyO3bbxERp0/nOHCXSqUsz75al+woVUYtvDnjzkmDN2/ebNKkSbNmzezs7KpOkScaKiEhYfr06ZcvX964cePhw4eVW8F88OABSy01NjZmRX/CwsJYyG5vb79o0aLp06c7O//DPgVtbTEgAHNyuH4l9dKYMWN8fX19fX3lOaZQIWwNWpWc4ODgYIFAwOPx5E/VqxnVdLdDasbUqVN37ty5c+fO0aNHJyYmKnqA0sOHD1u0aAEAbdq0qTRDwbLkbW1tAUBf38zERNqhA86ejfPmoY0NAuDmzejvj6GhOHAgBe6KeTNVhtuW+/fvDwAHDhxQuoWEhIRGjRoBgLe3t6LXnjqFiJiYiOfPK/3z323ZsmXVvTYoEonu37+PiHl5ebQ5tdZs376dvYspkcb3Piw1kLZY1VVvpsqocpBIYWHhhAkTWLDu6elZUVHh7e29dOlSWZX7xo0dxoyR/v03ZyeEEKzOGHTLli0AMELZ06qfP3/OPgtXr17NbcdUN378eHYoO+cxBKkBqoeAqamp7OgkY2Pj868DLtmxaQDQvHnzOXPme3vndu36/wnNNjb400+4aRMiopcXXr3KxYupN66+/n1d5foXxzbTz507V7nLc3Jy2Hntw4cP5yrVkBPPnz/ftWuXRCIpKyur1j05NY8C92o3efJkqNkzPklNKi4uZrfaWVlZyazgsgq2bdvGSnq1atVKdhybhYXF0qVLnz9/zkV/yf+Q7UCSZyuSQl6+fOnt7c0OKFB0YJSWlnbv3h0ARo0axdUuNA65uroGBwcHBwdT4K6JLr+e676swqR3WVnZl19+CQBaWlrbt29HxMmTJ5uYmEyaNMnHx2fEiBHGxo1NTKQA2LAhurlhcDDNOKipgoICdjqCWCyuIj39nYRCIatj07VrV07O+OcWu0dNSUlRw+kPVWgBqWZCoRAA2MGrpO4xNDRkRbYVrc/8Tl5eXv369Rs5ciQi5ubmOjo6enp6TpkyxUDpUvWkSpMmTar0gCvm5ub5+flWVlYAsHbt2l9//VX+a7/55pvw8HA7O7uDBw+y7YBqpWHDhmzDdFBQUG33hShs6NChlR4oQU9P748//rCzs1uzZs3cuXMjIiKGDRsmkUhOnz5dUlICALq6urNmxTs52Q0fDrq63PScVAcTE5N79+7NmDFDLBafOnVKVlBSHl5eXv/880+zZs3OnDnDDjhWKzExMVu2bCkoKJCdmFQ3UOBe7UQiEQCwaVRCPsjR0XHMmDE7d+6cO3cuKwlENFR5efm5c+cAoLi4WP6rELF9+/YNGjQ4ceJEpYOQ1cQ333xT6QGph3g83urVq21sbDw9Pffu3fvbb7+xL3788cdTpkxxdXU1NTWt7T4SucTFxfn5+UkkEoWuKiwsvHfvnoGBwZkzZ6ytraupb6po27bttGnT0tPT69gUAwXu1Y7NuFPgTuSXkZEBAB9//HFtd4SoRCAQsHOBZCfuVSEmJiYyMnLixInBwcF9+vRJSEhgR8qqoW7dulV6QOotd3d3lhVmZma2YMGCKVOmyKpmEk3BVk4qKioWL178wSefPn26Z8+ezZo1O3r06LVr16KiotiGBzWko6PTsGFDtgRUl6jdImzdQ4E7UdTz588BgD7/NJ22tnaPHj169Oihp6f3wSeXl5fn5+cDQHFxcUlJidpG7YRUwrZhTJ48eeXKlfSupYlYXUgej8ceVC0uLo4tIT58+FBfX58dSqOevv/+ewBo2rTpggULarsvXKIZ92pHgTtRVGJiIgDY2NjUdkeIShYtWlTpQdXOnTuXnp4eGxvLjqIiRCNERUUBAKsDTTTRzp07AUBHR2fr1q3yPH/79u1mZmahoaHV3C9VsWQtgUDA6j3XGRS4VzvanEoUUlBQkJ+fb2hoyE4DJJqL7Vp+80HVRo4c+fXXX584caI6O0UIx1jg3rlz59ruCKkhc+fOtbW1zc7Oru2O1FMUuFc72pxKFELT7fWThYUFq9nUunVrus8nmkIkEj1+/JjP57PRS+q85s2b6+vrA0CbNm3U8Myr+oAC92pHqTJEIZTgXj9ZW1uzkxm6du1a230hRF6xsbFCodDW1lYNTwMk1YGd3w8ACxcurN2e1Ft0t1TtKHAnCqEZd0KIpqAEd0JqGAXu1Y4Cd6KQpKQkAGjZsmVtd4QQQj6AAndCahilylSvyMjIy5cvFxYW5ubm0hwqkQfNuBNCNEVkZCTQzlRCahDNuFevn3/+2dbW1tHRMTAwsLb7QjQD5bgTQjQFBe6E1DCaca9e5eXl7ITUly9f1nZfiGZgqTIUuBNC1Fxubm5KSoqhoWHr1q1ruy+E1BcUuFcvXV3dsWPHAoD6lyogtU4sFhcVFR05ciQhIYE2RRBC1BxLcO/YsSMdC0hIjaE/turF4/GaNGnSpEkTLS26RyIfkJycvGvXrs8++8zBweHMmTO13R1CCKmKlpbW0KFDnZycarsjhNQjFLhXL39//0oPCKlCYmLijRs3IiIiarsjhBBSlc2bN/fr1+/y5csWFha13RdC6hEK3KtX48aNKz0gpAqIKJVKEbG2O0IIIVWJjY2t9IAQUgMof4MQNdK6detBgwYBQHp6em33hRBC3qu0tNTPzw/ozYqQmkWBOyHqokmTJl988QUAdOrUyc7Orra7Qwgh72VgYLBmzRoAmDlzZm33hZB6hAJ3QtSFgYGBra0tADRq1Ki2+0IIIVXp0qVLpQeEkBrAo2xaQgghhBBC1B9tTiWEEEIIIUQDUOBOCCGEEEKIBqDAnRBCCCGEEA1AgTshhBBCCCEagAJ3QgghhBBCNAAF7oQQQgghhGgACtwJIYQQQgjRABS4E0IIIYQQogEocCeEEEIIIUQDUOBOCCGEEEKIBqDAnRBCCCGEEA1AgTshhBBCCCEagAJ3QgghhBBCNAAF7oQQQgghhGgACtwJIYQQQgjRABS4E0IIIYQQogEocCeEEEIIIUQDUOBOCCGEEEKIBqDAnRBCCCGEEA1AgTshhBBCCCEagAJ3QgghhBBCNAAF7oQQQgghhGgACtwJIYQQQgjRABS4E0IIIYQQogEocCeEEEIIIUQDUOBOCCGEEEKIBqDAnRBCCCGEEA1AgTshhBBCCCEagAJ3QgghhBBCNAAF7oQQQgghhGgACtwJIYQQQgjRABS4E0IIIYQQogEocCeEEEIIIUQDUOBOCCGEEEKIBqDAnRBCCCGEEA1AgTshhBBCCCEagAJ3QgghhBBCNAAF7oQQQgghhGgACtwJIYQQQgjRABS4E0IIIYQQogEocCeEEEIIIUQDUOBOCCGEEEKIBqDAnRBCCCGEEA1AgTshhBBCCCEagAJ3QgghhBBCNAAF7oQQQgghhGgACtwJIYQQQgjRABS4E0IIIYQQogEocCeEEEIIIUQDUOBOCCGEEEKIBqDAnRBCCCGEEA1AgTshhBBCCCEagAJ3QgghhBBCNAAF7oQQQgghhGgACtwJIYQQQgjRABS4E0IIIYQQogEocCeEEEIIIUQDUOBOCCGEEEKIBqDAnRBCCCGEEA1AgTshhBBCCCEagAJ3QgghhBBCNAAF7oQQQgghhGgACtwJISO30dcAACAASURBVIQQQgjRABS4E0IIIYQQogEocCeEEEIIIUQDUOBOCCGEEEKIBqDAnRBCCCGEEA1AgTshhBBCCCEagAJ3QgghhBBCNAAF7oQQQgghhGgACtwJIYQQQgjRABS4E0IIIYQQogEocCeEEEIIIUQDUOBOCCGEEEKIBqDAnRBCCCGEEA1AgTshhBBCCCEagAJ3QgghhBBCNAAF7oQQQgghhGgACtwJIYQQQgjRABS4E0IIIYQQogEocCeEEEIIIUQDUOBOCCGEEEKIBqDAnRBCCCGEEA1AgTshhBBCCCEagAJ3QgghhBBCNAAF7oQQQgghhGgACtwJIYQQQgjRABS4E0IIIYQQogEocCeEEEIIIUQDUOBOCCGEEEKIBqDAnRBCCCGEEA1AgTshhBBCCCEagAJ3QgghhBBCNAAF7oQQQgghhGgACtwJIYQQQgjRABS4E0IIIYQQogEocCeEEEIIIUQDUOBOCCGq+ueff2JjYwHgyJEjubm5td0dUkfQuCKEVEKBOyGEqCo5OZnFVU+ePCkrK6vt7pA6gsYVIaQSCtwJIYQDe/bs8fPzu379em13hNQpNK4IIW+iwJ3UZcXFxeXl5QCQl5cnFotruzukLpsxY8aaNWucnJxquyMaBhFruwtqjcaVcmhckbqKAndSl50+ffrevXsA8Msvv6SmptZ2d0id1axZswYNGgCAjY2Nrq5ubXdHY4jF4jlz5gDA06dPN27cWNvdUTs0rpRD44rUYVq13QFCqteDBw+kUmliYmJtd4TUZVZWVu7u7p9++qm/v39t90XDFBcXv3jxIj09vbY7oo5oXCmNxhWpqyhwJ3Ucj8fj8Xi13QtSx4WHh4eFhbVu3bq2O6J5UlJSgoODs7KyBAJBbfdF7dC4UhqNK1JXUaoMqeO6du3q5ORkY2NT2x0hdVlUVBQAdOrUqbY7onns7e1nzJjh6upa2x1RRzSulEbjitRVFLiTuszJyUlXVzcmJsbFxaVx48a13R1SZ7EAq3PnzrXdEQ0jEAgGDhwoEoksLCyGDBlS291ROzSulEPjitRhPNp5Teo2R0fH8PDw0NDQHj161HZfSJ1laWmZnp7+7NkzWttRVMuWLTMyMuLi4lq2bFnbfVE7NK6URuOK1FU0407quKKiIgAwMTGp7Y4QtSASiSo9UN3Lly/T09ONjY1btWrFVZv1RH5+fnJyspaWlrW1dW33RSU0rtRKnRlXhLyNAndSxxUWFgIF7vLZs2dPpQd1z+zZswFAKBQuWLCAqzYjIiIAoHPnzrQNWlGRkZGI2LFjRz5fmQ+jwLS0XWlpBzMzOe+YomhcqRUVx9WT8icr01Zuytx0o/jGpcJLnHePEFVQ4E7qOArc5cfOvH/zQd1TUlISFxcXHx/PYZuRkZFAichKUfFXlyMSfW1p6dakCaedUgaNK7Wiyq9OgpJlactWNF3xhekXJdKSUmkp170jRCUaeBzk3r2QkABCISxaBGrwfk3UmUgkKisrEwgE+vr6td0XDVBYWOjn5wcAL1++rO2+VJf8/PzQ0FCJRMJhm3T0h9JU/NXlSyS/pKW11dMbambGab8U7wmNK3Wiyq8uU5xpp2unz9dvqdMyoSKhHMq57p36CQ+Hw4eBz4chQ2DYsNruDfkATQvcExMhIQH8/SErC777DrZtq+0OEbUmS3CntWZ5mJiYrFmzBgA8PT1ruy/VxcrKavLkyUKh8L///jt69Gjv3r1V37tGM6NKU/FX11AgmG1pyWmPlETjSq2o8qszE5hliDO47pF627oV9u0DPh/c3OCTT0Cp/CJSYzTtnychAdq3BwBo3BgKC2u7N0TdUZ6MQmR74Fq1aiUUCmu1L9VlypQpAKClpWVvbz9lypRevXrdvXtXlQYlEklMTAyPx3NwcOCoj/UFIkZHR4OyM6P5YnFrtVlJo3GlPlQcV3p8vYFGAxenLl6YslACEgO+AdcdVD9aWq+C9caNIT+/tntDPkDTAnd7ewgPBwBISgILi9ruDVF3LHA3Njau7Y5ohuXLlwPAkydPbty4MXPmzNruTrUYOHAgAPD5fHd392HDhmVmZg4aNOjgwYNKNxgfH19WVtayZcuGDRty18164dmzZ0VFRVZWVubm5opeezU/3+XRI221WUmjcaU+VBlXJ/JPOMU5ORo4/mj14+bmmz8x/uRTk0+ro5PqBRFKS0EshvR0qO2sM/JBmha4N28O/fvDqlWwdy94ecEl2u5NqkIz7krQ09O7fv36H3/8ERsbW9t9qUbGxsanT5/28vKqqKhwd3dfunSpVCpVqIXy8vJjx47NmDFDR0dHW1ub2/zm+kDpfAahVLo1JaVELX/hNK5qndLjqlxavjhl8Y3iG3dK7lRDv9SYnx+sXw++vuDtDcHBkJNT2x0iVdG0wB0Ahg8HR0do2BA6d4YRIyAtrbY7RLhx8uTJkJAQANi+ffvz5885aZMOcVdCy5Ytp02bJpFI/P39FbsyIQF8fMDHB/7+u3q6xjGBQLBt27bAwECBQPD9999PnDixtPTDJ0hIpVK2ItGsWTNXV9c7d+7o6urGx8ePGjWqkPL3FKF0gHUwMzOtoqK1vv7oRo2qoV+qonFVu5QeVz9m/ZgoTHTQc/Aw96iGfqmxVq1g6FAoLYXvv4ehQyEoqLY7RKqEGicpCXk8NDBAFxcEwE2buGo4Li7u559/RsQrV66cOXOGq2aJnI4cOXLx4sWysjJ/f/+nT59y0uaff/4JAOPHj+ektfrjxYsXurq6fD6fHYcsr2nTsKwMEdHd/dUDDXH58uUGDRoAQK9evdLT09/3tJiYGD8/v9atW8vePzt06BAQEHD69OkmTZoAgIODw7Nnz2qy5+rj4sWLL1++RMRDhw7Jecm4ceMAQP7nM5lCYf/wcMf79+8XFircy5pF40p1NTauUoQphg8MIQyuFV5TtJN1QbduCIALFiAADhzIYcP+/v7swbp16zhstj7TtFNlAKBFC+jTB+7cAVYC+sgRWLiQk4YlEklhYWFRUVFhYSEictImUcjx48cfPnx469atiRMnIqLqR8EUFBQAgJGRERe9+x9CFBZJisy1FM6h1AjW1tYeHh47duz47rvv2M3PByCCRAKIoKcHANCmDaSlwRuBiJobOnTo7du3R40ade/evR49epw5c6Z79+6y7+bk5Bw/fvzAgQO3b99mX2nevPnYsWOnTZvWtWtXsVg8fPjwMWPGhISEREdHf/TRRydOnBgwYIDSnckR59wpueOg5xBbHtvXqG9DgWakOIeHh9vb25ubm9+4caNLly6PHz/+4CV37twBxWdGf0pJKZNKPzE1dVT7vSs0rlRXY+NqSeqSEmnJeNPxTsZOynVVs02YAA8eQEoK6OtDSAikpoKVFScNJyUlVXpAVFXbdw5K2b4dAXDECGzQAAHwyRNOWn38+PGoUaN++OEHDw+P48ePc9Imkd+RI0euXLmCiAEBAWfPnm3fvv21a9eUbk0qlZ45c8bGxsbKysrS0jI0NJSTTl4suOiV7DU/ef4/hf9szdzKSZvqKS0tTV9fn8fjPXz48ANPDQ5GR0fcsgWnT8fiYkREd3fMzUV/fywtrYGucuXly5csMDIyMjp16lRpaWlQUNDIkSO1tbXZu2WDBg3c3NyCg4OlUqnsqitXrggEAgBwdXUdPnw4AOjq6u7fv1+5PuSL88cljLtTfGd39u7v0r9LEaZw9OKq3XfffTdv3jxfX9/u3bvLmWQlEAj4fL69vb2fn19iYqI8P+X27dsT9uxxfvgwraKiml8QZ2hcqaKGxtXd2wMuDzB8YPi84nk1vyDu5YhyxFKxqq2wXAZDQxw9GgFw82YuuoaI6Ozs7Ovr6+vrO2PGDK7arOdqInAvl5avT1+/InXFufxzXsleHLSYlYVaWqitjRMnIgCuWcNBm4iPHz/etGkTIl68eJEC95oXERHBMmRu3LgxduxYAODz+XPnzi0qKlKoHalUeurUqS5durA3cZbgrq2tvWLFivLychU7Of7ZeESUovRJ+ZO6Hbgj4rx58wBg3Lhx733GuXPo6IgACIA9emBiIi5ZgkuX4tWrr5ZcbW3xxo0a7LKqysvLJ0+ezMaeHls9ANDR0Rk9evTx48ffN34uXboky4j49ttv2VVeXl4SiUT+Hy2WikNLQs/mnz2ae5R9ZX36es0KsFiQNHPmzFOnTrnKQVdX981g65NPPjlw4EAxu/d7F4lE4ujoCABrN2youRfGBRpXSquZcdWjRw8A2LBLk8aVf7r/stRlK1NXrktflyZM46DFPn3+P1umVy8OGkRExJkzZ7IHHh4eXLVZz9VE4L4tc1twYTAiZggz5ryYw02jw4YhAM6bhwCSzp1VbEwqla5duzY6OvrOnTuIGB8fHxMTw0Uva01WVtbff/+NiI8fPw4LC6vt7ihMKBQGBATo6OgAQKtWrS5fviznhcHBwewtGACsra23bt2amJg4d+5cNnfVtm3b69evK9el8/nns0RZUxOnsv8bVx6nvoF7QQFykf6bnp5uYGDA4/HeXq8oDA7GXr1eheyWlrh9O1YKPh48eJU0yeOhpycWFKjenxqzePFic3NzPp/v6Oi4devWrKysD14SFRXFTsFv3rz5ypUr2WTqF198UVJS8sFrH5U98kvzaxXVih/GP5RzaH/Oq1lVzQqwdu3alZKSgogrV66U85LBgwcDwHfffefm5mZoaMj+bPX19V1dXc+cOSMSiSo9f/fu3ew3XEUQps5oXCmhBsbVb7/9pnHj6r+S/zZmbEREsVTsn+7PTeC+dSsCoIsLGhsjn18h32JFFa5cuRIVFbVnzx72f3/77TdVe0gQsWYC95lJM8skr3aqcRa479uHWlqpbm5/fPaZlbFxeHi4Ko2tWrUKADp16qTQTIY6i4+P//777xExODj46NGjtd0dJUVGRn700UfsbdfV1ZVtUXqf4ODgnj17sic3btw4ICCgrKwMEd3d3U1NTX18fNq3bw8APB7P09NToVn8kKKQgU8GQhgsSVky4dmEfHF+hbQipixGTQP3LVtwzRpctQp//ln1xhYtWgQALi4usq+EhIQMGjRoVqdOCIAWFhgQ8N58GKEQAwJQV7fY0LCfo+PJkydV70/NCAwMZOGRQks02dnZH3/8McuIWLt2LTt+u2vXri9evHjn85NLkr/P+L5TTCcIA/Zf20dtrxVem/BswoGcA9syt2lWgKUEtqTD3qny8/P379/v7Ows29liZWXl5eX14MED9uTCwsJmzZoBwJ9//lmrvVYejauaUR/G1bG8Y6fyT7HHnAXuqanI5xd16XJx/vzelpYbVFvXevjwobGxcYMGDeLi4jjoG3lDTQTuG9I3hJa8mrHjKnAXFRR0a96cz+dPmzYNALy9vZVu6vDhwzweTyAQ1KWTZOLj41limZubm+YG7ogoEom2bt3KZk2aNGny119/vf2ckJAQJycn9qZsYWEREBBQ+jqUrKioGDp0KPvW8OHDly1bJpvFZysSVfun8J9+T/qxD78mkU1+yfrlecXzlakrl6YujSqNulp4leNXqzqpFN3dXz12c1O9vezsbFa+6t69ezdu3GBVZtjv+eWOHSjHtB9GRn4/ZQq7ys3NLScnR/VeVTeWlrBw4UItLa3hw4fLf2F5eTmroCkQCBYvXmxnZwcAlpaW9+/flz1HluLs+LUjG1qmD03dEt2CC4OlKEVEkVQUXRadK87NFeeKpJVnB+sSNoPu9r8D9cWLFwEBAba2trJsB3bEyjfffAMA/fr1ezMRXLPQuKoZSoyrvn37ata4ii+Pn5c8DxHLJGWcBe6IXmPHsiEKAF26dFG6ndTUVGtrawCYMGGCZv1iNUJNBO6F4sLFKYuXpS77M/fPHzN+5KpZduTT3LlzWVKEcpPlN2+msIzDnTt3ctWx6vbo0aNLly4h4j///CObNqikbsy4yzx9+nTQoEHs3XbkyJFs5RQRb926xVZFAaBRo0YBAQHvXEEOCgpiJfRMTEyWLFkiy6WpYhb/xo0brpGu7PPPIsJiY8bGYokmrKKKRPg6oRCnT0epFKdNQ09PVGEJ2MfHh/162S/N3Nx8w4YNCi1ZiMXiH374QV9fn919nTp1is04vm/KsNaxrYTe3t5skCh0rVQqDQgI4PP5LHRgTRkaGh47duzs2bMTJ05kvwcAMDAycI9zP51/ukKqMfssuXX37l0A6Nat29vfkkqlt27d8vT0lNUNZTsOVVxcrV00rmqGEuNKExNKT+efXpa6LCAj4ETeiXxxPidt7ty5k01ymZmZAUB0dLQSjRQUSHv06AkAAwcOVH1fGXlbzZ0q8/vL3z96/NHd4rtcNXjs2DEA6NGjh42NDQDcvHlT0RZiYtDUFHv3Pr50qbzJc+rg9u3bv//+OyIePnz46tV3T/omJSXt3r2bPfnChQs12r/qIZVKAwMD2exvw4YNfXx8Ro4cKQsl/fz8CqrMok5PT//iiy/Y8/v167do0SJ2w9a0adNjx469+cw7d+6wlvv49jGLMPNL8+PqPbGGzJyJoaF49y7Ono1xcailhQDYti0qldz/77//Dh06lMfj6erqGhgY+Pj45OXlKdevhISEwYMHm5iYLF++nC2ezp49WygUKtdatWK3ebNnzwaAtWvXKtFCUFAQC6QGDx48ceJEAJBtSeTz+U5OTr/99lt+vkaNq2pQVFTEhtbbaccyZWVls2bN4vP5+vr6gYGBNdk9ztG4qhn1Z1ydyT/T5lEbnxQfrhrMzs7W1tbW1tZmKzx+fn6KtiAU4tCh6OBwu3fvj3Nzc7nqGHlTzQXui1IWQRhwc6oMIiKWlZWxHfeenp4A8M033yh0eXY2tm2LADhuHGpWZvvt27c///xzX1/fsWPHvi9wZxISEqZNmzZr1qwa61t1S01N/fzzzwGAzQcYGxv7+PjI/0F15swZS0tLANDX1/f29pYlfowcOTI1NfXevXuffvop+4qpqem679YVitW9wss7lJfjn39iUBDm5WG3brhqFXbvrsQm0fv3748YMYL9NtgpDYMHD1axa1KpNDo6euPGjTt37jx16tRnn32mhoH7ixcv2ArDsGHDAODUqVPKtXP37l1WPeeXX35xdnY2MDBo2rSpn59fQkICtx3WaGza5fHjx+/8rlgsZgs+AODl5SUWq3zmXe2hcVWT6sm4ull0E8KgRVQLlg3FCfYhOH/+fABo166dopd//fWr3U/x8Vz1iFRWc4H7/ZL7EAaNIxpzmF3n7u4OAGzTvaGh4blz5zIyMuS5sLT01cFHPXqokkRQO+SZcWdevHjB5/MNDAwUPVFRzbHDIj/++GMl5pby8vLYnR4AdO3a1dvbm5Vnkh0+YGJi4uvrq/S8MsMS6CUSCTuZvnbs2vXq1JchQ3D+fNTRQQC0to7+UHJ/VFSUq6sr28tlaGjo4+Pz7NkzU1NTALjBxdmOGzduPH36dHh4+Pjx49UwcD937hwADBkyhG1ZUyUeev78OZuyYnl9Bw8e5KyXdcWoUaMA4J17VwoLC9l3dXR02Dses2jRotjY2BrsIzdoXNWkejKupChtGdUSwoDDXIa9e/cCgLW1NdsPtnnz5qSkJDmvXbcOAVBfH+9y1h3yDjVagKlddDsIA3Y0JCcuXboEb2nWrNlnn30WEHAyKAjj4/HNfREVFciqdhQW4uzZ2KoVyhfnq5fHjx8HBwcj4o0bNz5Ykb5///6gePFnNceSRL29vV1dXVevXq1EC+fPn2dbZ3R0dFavXt2zZ09LS0tdXV0vL6/MzEzVe8gOrBUKhYouBHEsKAgtLBAADQxwwQLs2TOnWzc+j+fq6pqdnf3206Ojo93c3FgeraGhoZeXl6xOu5+fHyeT7oi4ceNGdU6VWb9+PVvBY0s6nOysYrsJIyIiVG8KERMTE9nejEePHrGjk2rUoUO4bBl6eSEXRc2WL1/+zhX5hISEDh06sES4SoXYcnJyNHGKlMbVB9C4UgrLZZifPJ+rBvPz87W0tFj2vyysatSo0dChQ1eu/O7o0cph1Zv8/FAgwNOnueoLebcaDdz90vwgDKY/n85Vg2vXrmWxl6enp5eX18cff8yq7QDAwIEX2GyjsTH2749z5+KePbhrF7JiMvPmYUUFvit00Qz5+fmDBg3q2bPnB5+5Y8cOABgxYoT8jV+8eLHSA3Uza9YseL3zvV+/fso1UlJS4uPjw+fzT548uW/fPgCYOHEiVz0cOHCgr6/vypUruQrcPT092QNZMQt5ZWXhl1+yqXfRkCEbV6wwMDAAgMaNG7+5azkmJsbNzY29U+vq6np6eqal/c8xBfn5+Sw9SZVytkxycjI79ic+Pl4NDxz48ssv4fUOwr59+6reYGlpqUAg0NbWruCo2Ofvv//OKk74+vpW+meqdiUlyIaiRIJTp6re3uHDhwFg7Nixb37x1q1bjRs3BoCOHTs+e/bsfdf+999/ISEhqvehZtC4qgqNK2X9V/IfhEGzyGYcFE9FRMRr166xwH3EiBFLly4dOnSohYUFC6s6dpzJwqoGDdDJCRcswIMH8d9/sUcPLC/HkycxJAQ1bdFCGWzmVCwWV53yUH34b89YV58vTb8EgBP5JyqkFaq39tdff61evZrP5x89ejQwMHDbtm03b97Mz89/+vTpX3/9NWKEw4gRYGkJRUVw6xZs3w4zZkBuLjRvDqdOvWrh9TkZmsfY2PjOnTuhoaGlpaVVP3P8+PHa2tp///33y5cv5Wz8xIkT7MHx48dV6mW1KSoqAgA2MSy7VVOUgYFBQEBAVFTU6NGjWYNs6xgnbG1t16xZ4+vry1WDIpEoJSUlJSVFLBYrdqWFBRw+DOfPg7X1cZFoxcaNU6dOHTRoUFZW1oQJE0aOHPnvv//OmjWrU6dOBw8eFAgEnp6ez549CwwMZAv6Mg0aNFiwYAEArFy5UsXX0rx5c7bBrm3btrLDldVHVFQUAEgkEgDo3LkzJw1KJJL27duzpWdOHDlyZNOmTez0jBqVnQ2WlgAAfD6wCbkKld7MO3bsCACPHj2SfWXPnj2DBw/Oysr69NNPb926xZKV3+nbb7/Nzc1V5afXJBpXVaFxpayPDD5qo9smU5R55+Ud1VuLjo4eM2aMWCxeunTpuXPnNmzYcPny5aysrBcvXpw6dWr6dPdRo8DKCgoK4Pp12LIF3NzgwgVwcIBNm0AoBJEI2rVTvRfqLigoCABEIpEsWKphWjX5w9rptZucNvnez/cuzLowZswYVZq6ffv21KlTpVLp1q1bR48eLfs6j8dr06ZNmzZtAMDbGwAgKwsePoQHDyAiAqysYMAA2LMHtGr0dXOPz+e3aNEiPj4+KSmJ1RV6n0aNGjk7O1+8ePH48eNsorpqEokkOzt79erV8Do+VkOFhYWyx0oH7gxbNmUNsiNrOMFuKng8HnugutLS0osXL7IHylw/fDhGRV3z9haHhOzatatr167Lly/ftm3b+fPn2aFDOjo6/8femcfVmH9x/NwlqZRK0WKtsWWr7OLH0BhL1pElsguDLD+5lnSLQRgmBqOxxgwmkzHZZQxlG1QoZGiytCBF+37P74/D82ta733ukxbf92v+6DXuc+731rnPc77ne87nzJw5c9myZQ0bNizNxoIFC7Zu3Xr16tULFy7Y29vz/ixVmZycnEePHkkkEtrotmvXTn2b9+7dA4FiNY5hw4Z17txZ+d24YJibw99/Q14evH0LtWqBQgGjR4OREfzwA/AKH1u1alWrVq3o6OjMzExNTc0VK1asX78eAFxdXTdv3lz4sL44ly5d4jQQo6Oj6bZfNWF+VQ7Mr9RgdsLsb//77c/df+61s5c6duLj4wcNGvTu3bvRo0evWbOm8D81atSIiksXLgQAePUKwsIgPBzCwqBjR9DRgXfv4J9/4ENqvobz6NEjuVxOm/DK4SNn+Ddu3AiqS9gWITo6mg68uPoBJTl0CK9cwYcP0dAQBTpdrDS++OILAFBG6vHAgQMA0Lt377JfFhIS4uDg4OrqyhVjUKF2FYQ0jGmopyCLXLp0KQCsWbNGfVNEZGSkp6dnQECAUAaF+qMEBwdTXaxUKtXR0RGJRFKp1NnZ+cmTJ8pcvm7dOgDo3r27OmuoyoSHhwNAq1atSOyfh8hscVxdXeHDHEdBqMySBkSMiMAVK3D1anzzBgMDUVsbAfDzz5HvaK02bdrQr5oEo6RS6fbt21WysHnz5i5dulC/hEKhqIKVysyvyof5FV9oC2dkZKROy1Bqaqq1tTUA9OrVS6UOh2fPcP16TEnBNm2wkipHPjb0OM7Kypo7d27xf33+/DlVrz2uMGGdjx24x8XFicXi2rVr89aaTUpKatmyJQAMHDiwDJXWEnnyBKnXztcXS69wqx6QNIoyd6LU1FQtLS2RSPT06dPi/6pQKE6cOGFnZ0cbufr163PboVmzZgm8aIGwsbEBAKrcWLRokfoG58yZAwDff/+9+qaIgwcPAoCTk5NQBs+ePUtfGWUGvpZNenr6ggULuKMAlQymp6eTFF2V7X9QEz8/P8osaGtri0QiNcWFCJodJuA4hZiYmI0bN165ciU1NZXf4Lki+Pv70w8lqnCUyp49WKsWrlqFjRohAFpaYinqe2VDeuTm5uYAUK9ePVXLRingePDgwcKFCxExIiJiy5YtPJZRoTC/UuEy5leqQ7sU3rfl/Px8UtqxtLR8/fq1StempOCNG4iI58+jEBvSCuf69ev0iwoICChX3qNEyg7cvby8Xrx4gTwa0pTmo9a4A4CZmVnPnj2zs7MDAwN5XJ6bm+vo6Pjo0SMbGxt/f3+piiUvlpZgYgLe3jBzJmzdyuP9yyI2NlahUAAA6fVWNCSC+fTp03Jfqaur6+DggIhHjx4t/P8pZO/cufOQIUOuXr2qp6cnk8kePHjg6+tLL6AhalUQqmyham9BKxRLAQAAIABJREFU6lvIoJpVN4WhKiMBDZqYmOjr63fo0IFOWtRBR0fnu+++u3LlCn19evToodK11F3n7u6OiGqupApChchmZmaZmZmNGzfmxiuqb1PAkoa7d++6ubmtXr1aV1dXkFqs8+fPF/lBKR49gtxc8PCAoUOhUyeIjoYePeDiRZXeOioq6uXLlwAQFxfXpk2bmzdvcjOSlURXVzc0NLRRo0bU4PTixQuVLv84ML9S4TLmV6ozZswYAPjll1/4Xe7q6nrixAkjI6MzZ84Yq1jvoqcHXbvCpUswbBh4evJ7/49KRkZGSkoKALx9+1bV0tMbN27Y2trSDLXatWt///33Jb4sMDDwyJEjMTEx6q+2RD524A4A1Fx/+PBhVS9ExOnTp1+8eNHMzOz3338n+W0e9O0LAHDkCAhbobRp06asrCwA+Oabb4S0WwoUuCvpGUV+57m5uQcOHGjduvXQoUNDQ0MbNGggl8ufP3/u7e0tYINmxUFxdm5uLggUHAte4y74TkBwg507d87Pz5dIJCQyozxz5swxNzcPDQ0lXeoaRlhYGAA0bNjQxsamY8eO6huMi4t78+aNoaEhZf4EQfDiZoVCIZfL5XK5ak+a9eth927Q0IDt28HMDIYMgbdvj3/zza5du8q9NDk5+ccff+zZs6eVldWlS5esrKzGjx9/7do1CwsLHuunKDMhIeH69et37tzhYaGiYX6lwmXMr1THyckJAI4dO5adna3qtWvXrt2xY4eWllZgYGDz5s35LcDWFhDh0iWIj+dnoGR++eWXa9euAcDGjRtjY2OFMnv06FG5XP7777/DhwygMmRlZU2ePDk8PLxIDrQ4VlZWHTp0IB22iqASmjQdHR3nzZt3/vz5WbNmde3a1draum3bthoaGuVeKJfLDx48qKure/r0aeqT4EeXLtC8OTx+DJcuQb9+vM2UwKlTpzQ1NWmjX9FQU7wyGXcAGDRokL6+flhY2O3bt69evbpx48a4uDgAsLCwcHV1nTlzJjc3u1pAUWxOTg5U7Yx71d8J6OrqqqrrUrt27SVLlsjl8kroYKswsrKyTp48eeDAgWvXrunp6YnFYoq01IeCoQ4dOghijaBUqyANjoRYLPby8oIPU6hVYNo0aNoUHB0hMBBsbR8uXz5i7Vr488+oqKgNGzYUbwHMzMw8fvz4Tz/9FBQURM/LunXrjho1ytnZmRtjzJvWrVs7OztHRkZeVDE7W3Ewv2J+9XGwtLRs3rx5dHR0r169Pv/8c1tbW1tb288++6zck5NffvnF3d1dLBb/9NNP3bt3570APT0YMACOH4eAAJg3j7eZouTl5b179+7du3cpKSlU0SAIjo6OY8aM2bNnz4sXL8aOHevl5eXs7Fzuo3DZsmWPHj2ysrJauXJl2a/87LPPGjZsWLduXaEWXJQKKsEpg4CAAJFIVDizK5VKraysnJ2dvb29AwMDSxwNc/jwYZFIJJFIAgMD1V/DypUIgNOmqW/p/yxYsODq1auhoaGjR48W0m4p0PagXr16yrw4NTW1f//+8GF2PQDY2toePXpUkELGjwzF61KpdPTo0QBw5MgR9W1Sx9jNmzfVN0WsWhXQq9f0XbtOCmWQZInHjBkjlEHa8jVu3JjHtVlZWX5+fklJSYjo6+sr1JI+Pnl5eSdPnhw7diwnIkEZBJFIJJfLBdGY9/b2BgBXV1f1TXG0atUKAMLDw4Uy6ObmRj8sWbKEz/WPH2PLlm9sbS0aN/bw8CB1wgEDBqSkpNC/FxQUhISEuLi4cFtZiURib2/v5+eXXmhytTq/8Ly8vKtXryJiUlISv7pVAWF+RTC/+mhcuHBBQ0OjSAlWnTp17OzsXF1dfX19Q0JCsrOzi1wVHBxMIYGPj4/6azh8GAGQ72CVkjl48ODcuXM3b948cOBA5Qe4ls3Dhw/pWR8SEjJjxgz6XfXu3TsyMrKMq65cuSIWi6VS6a3yBoTFxcXl5ubm5ORs27bt0qVLgqy5CB87cL99+zbNlp8+fbqbm9tXX33VokWLIptCknQcNWrUN998c+rUqbi4uMuXL5N7bdu2TZBlPHyIAKivj8U8mT8LFiygm4X6HQkk769QKP7444/SXqNQKKjIITU1tcQXvHz5MjAwUCaT2dnZ0S2P7m5du3YNDAysgoNvlCQxMREADA0NBwwYAAL1ZpHQioDzridNQgAsNE5bXXbu3AkAAja7UMaubdu2/C739PSk/psqKz1UNpGRkTKZjBptAUAsFtvZ2fn4+CQmJvr6+lL1v6OjY0ZGBu+3oCFT48ePB4Bdu3YJtfKsLPz8c/euXYcUfwzz5vjx49OnT1er7/nNG6dBgwBAR0dnzZo1VCbbrl278+fPy+VyqusjOnbs6OPjU+J84pEjR3IxWTWF+VVhmF99HO7fv29gYAAAX3/99bZt277++uuhQ4cWr0rQ0tLq2rXr7Nmzd+3aFRoaeu/eParlWLBAmKmrGRlYpw6KRBgTI4g9RMSDBw9evnwZEVevXq1U4L5+Pa5cibNno3LjhBUKhZ+fH31hpVKpq6tria6Snp7+2WefAYCXl5eSK6dHdr9+/ZR8PSIeOnTo5cuXiPjdd9+V/cqPGrjHxMTQL2jatGmI2LZtW4lEYmFhMWDAgKlTp86cOXP8+PEdO3bkssKFN44A8N///lfAxVhbY/36CadPK6WCVzZnzpwZMGBAeHg4JbBpnLs6UHyWl5dX9txNUnAvnAZ4+PDh7t27J02aRE7GoaGh0b1798aNGwNAiX3Q1Yh//vkHAJo2bUpdlYKMuDMxMQGAuLg49U0RI0ciAP76q1D23uuoCvgVuHo1r1Gj6OHDefqqp6fnwoUL5XJ5p06dhFpSRfDu3TtS5nrz5o1CoaBGjpaFZoS0bt1aLpdHR0cXvurcuXN0ytm1a9cEEqJSmri4OB8fHzs7O9IUoorhv/76S6hPdOsWAiDfDVfJUK/Vpk2b1DFC9yvKvMydO5ciCY7mzZt7enqWrTpaWg6iCsL8ShmYX30E4uPjmzRpQhvCgoICOojW0NCwsrJydHScNWvWzJkzR44caWlpWaQUhNJ5I0aMEPDgfcwYlEjyt29/rr6pd+/e/fe//7158ybF68HBweXvvv75B1euRETMzsapU5V/r7dv37q6ulIJlqmpqZ+fX5HM5qxZswDAxsZGecHN1NRUqkR99OiRkpesWbMmJiYGlUj+frzAPSUlhYrn+vTpk5OTU1BQYGtrW1wWpmHDhoMHD541a9Z///tfV1dXBweHevXqGRoaGhgYCFvX8f33hyQSifq1B3fu3KFMtoBign369PHw8Fi5cuXs2bPbtGljamrasWNHBwcHFxcXuVzu6+sbGBh4+/btvn370vv6+vo6OjqStn3h3Y6dnZ1MJgsKCqIET2RkpIaGhlgsVvV2f/bsWYqPd+/eXcak6I8DNQm1b9+e3OmuchvrsqFToLS0NPVNEfb2CIBqKzf+HxrC6unpKZTBM2cQAL/8kufl1SXjvmXLloiICERcuHDh/PnzuUeXqanpwoULw8LCSrswIiKC2kioE7fcN0pNTd2/f3+/fv2488NGjRrFx8fTN67wwb2a7N2LADhunFD2EBF79uwJAHTQpyY+Pj70G6C2GQMDAxcXl5CQkOp7xFcizK+UgflVRZORkdGlSxcA6NKlCz3lFy1aVHwitYaGhrW19YQJExYsWDB//vxx48ZZWVnp6elJJJLY2FgB13Pq1F1j4wYdO3ZU005ubm6/fv0AYNKkSSpcdv067tz5/ufJk1V90/DwcE5jrXfv3vQFR8QLFy6IRCJNTU1Va6WmTZsGAFzBWNnk5OSsWbNm/vz5Hh4etra2Zb/4IwXuubm5JGNnZWVVWMI2Ozv71q1bu3bt+vrrr3v06FFcKEZfXz8tLc3MzEzY7AIiPn/+XCwWa2trqxOuxcfH04HUmDFjVLuDRETg/Pm4dCkeOFD8Hwtn3CmmVBIzM7PRo0dv3bo1LCysxGkRNLSoU6dOKu2Cjh49evbsWUTcuHGjgPUk/Dh37hwAdO7c+erVq0ePHlUnmxIfH//69ev8/HwacSrgM6BLFwTA69eFsocLFiwAgM2bNwtl8JdfEAB5T0LbvXs3yf2uXbtWqCVVBFu2bNm3b9+lS5ccHR337NmjpaXl6OgYGBioTOLkzZs3NOqrTp06x48fL/E1+fn5QUFBzs7O3L1LU1Nz0KBBMpls/PjxWlpaxsbGWlpafn5+Qn2ihQsRAAX8rSsUCiqNpVNa9fntt9/o1LRNmzaqToTJysr65ptvBOw2qSCYX5UL86uKJj8/f9iwYQBgaWlZpEYoJSXl0qVLmzdvdnZ2btOmTZF2XolEEhYWRrWmwjYpZWdn05mSOnUHCoVi8uTJtA0ucfhMqaSmorMz5uXhvXu4bBm/t/bz86McqIaGhqura1xcHJUqeHt7q2rt5s2bAGBkZFT2QKukpCSZTNa6dWsvL6+qlXGfOXMmAJiYmJT7Z4iLiwsMDJTL5Q4ODqamphYWFvghahGqEouD8gE//fQTv8u5zW6vXr1UrgucPBnp1jN7NhabRVU4cM/MzIyOjg4JCfH39/fx8ZHJZM7Ozvb29lZWVpqamlKp1NTUdPr06X5+fkWOZUskNTWV5MNU+roePXp0woQJcrn8iy++qMTAPSMjw8fHx9jY2NzcXCKRyGSyHL7zbxMTE2UymZaW1ty5c5OTkwGgbt26Ai510SLs31/IUr+pU6eCoCWtu3YhgErHidWSLVu27Nmz548//hg1atSbN29UzVBmZ2dPnDiRHnVFbtwlVjPPnz9/8uTJnAqYRCKheekikcjd3V2QnWG/fgiAJwVre37fpmxsbCyYxQ83/GWqPztfvnw5YcIE1Z7WlQHzq3JhflXR0NzAevXqlVuMkZubGxkZ6efn5+rqamdnV6dOnYyMjP379wNA3759hV3VpEmTAGD16tW8LcjlcgDQ1ta+QYOdVOLuXfTwwC1bMCIC+RZBJCcnz549m3Y7lDnt2rUrv7m5tra2AHDo0KES/zUrK2v9+vW0v5VIJCtWrKANWLmjvpQK3BUKBc0oLSgo4LF60jXX0tLi8Wegqqa//vqLtl/Czhzevn07AAwePJjHtYU3u6pOGkMsdI7j7c1vLBwi0q1/3759Kl1FMxoMDQ2VWfa7d+/Wrl3r7+9fuRn3zMzMzZs3cw+zxo0b01Fg+/bty23xLkJiYuKSJUvo2ygSicaOHevp6SmRSHR0dO7fvy/IahcvRlrUunWC2ENEHDVqFAD88ssvQhncvBkBUOi9cJWjcEkD77M17ph++vTplOorLG9nZWW1ZMmSpUuXFm4ssbKyIvlqRPT19SVRkVGjRqnTlfjhE6GjIwp4vk2z8L744gvBLCKOGDGijMdVDYD5VbkwvyoXEvDJyMhQvgyag2SFateuTaI3KkHhXEpKipaWllgsFrC5CxFPnz4NAK1ateJ3+aFDh0g/sLTDqHJ4+xbXr8d589DICAHwQ7kLD8LCwqytrWvVqlWrVq39+/fzM0Itqr179y7y/xUKhb+/PzdewN7e/s6dO8qbVSpwj4qK2rhxIyKePXtWtdnFiP7+/lSH8Ntvv6l0YRFoLkAZKis8SExM1NDQ0NDQKFGAsmzmzZun5Ga3ZGbPxlevMD8fnZ2xzGOUMhg4cCAAnDp1it+F08qTwwwPD6dnxrx58x48eICIQUFBQp17KklOTo6vry83ZIQkcRAxJCSEWsGoE1yZjFdSUpJcLuekVfv27btkyRKqwqK9taam5urVq1U9hC3O7Nk4bRrm52OZrcWq8eWXX4IaE62L4+mJAO87eWow//zzDxVTRUZGqrPtP3r0KIk49ezZMzEx8fDhw/Xq1Zs0aZKbm5udnR1XUWpubu7q6lq8dvn8+fOUVrG2tqbeAB68fo19+mBuLp4/j5cv8/4oRaHEirCt/5QPLlterWwSEhKCq/D8dOZX5cL8qlzoaD0mJmbNmjUqXejv7y8Wi8Vi8a/qCSDQRqjc/K5K5OXlUakJD/XMP//8k6qh+HcMJidjrVooleLEiQiA7u487SAiIo0JB4D69evzE6NMS0uj6SuF04LXrl3jiumtrKxOnDihqlllA/clS5ZERUXt3r3b39//zJkzSnbEh4SEUCuJ+iqhpHgveCecra1trVq1DA0NHRwc5HJ5YGCgMh9t8+bNtNm9cuUKzzd+8wY9PXHFCrx1C8+cwW+/5WGDt/r448ePa9euLRKJytis+/n50RPFxsbm8ePHPJanJrm5uX5+ftTIRcl1f3//wofCmZmZMpmMYm4LC4syNnWpqane3t6cxm2/fv08PT25zW67du3279/v6upK2a927drxLoXMzcUXL3DuXAwOxu+/FzJwp9EYPJIrpfHbbzhtGvJLanyahIeHN2zYkA7ZNmzYMGjQIG5snJ6e3pQpUy5evFhG68jff/9NqqPm5ua3b9/msYCEBHR0xA0b8LffULgdHNKwdN4ppeKkp6eLxWJNTU3ee+DDhw8bGRnxKCqtjjC/UpKa51c9evTYunWrp6fnmjVrVq1atW/fvrt371I6vAy4sEr9lqcjR44AQI8ePdS0UwRHR0fy54ULFx44cEDJze39+/fpGc1T9Z/DweH9aTIAWloi30KyvLw8U1NTALCzs6O9Mb9zLarvWrhwISJGRUXRL4e+sL6+vvy2/coG7k5OTj///LNMJtu6dSu9q4GBAWn7+/n5RUZGFr+zREdH08bLxcWFx8qK8PDhQ3pTAVVmL1y4IJVKi498NzU1tbe3L+2jnTx5UiKRiESigwcPqruCU6dw3TqUSlFDg0dBNPVMxPCqpHZ3d6cgtfhtIjMzc/r06fSrcHZ2Vv8QVlUoZKfkCgC0bdu2SMhemPDwcBsbGwAQiUQuLi5FFKPS0tK8vb05BbF+/frJ5XLu6LmI5eDgYHoEKp/F5ygoQH9//Owz7NEDSW9zwQKcOBHd3XHtWizvVly25QJ/f399fX0tLa0VK1YIoq3k7/8+117jM+7C8vz5c2tra+6IpsRpL2Xw5s0bmuOoo6Oj/AlkQQH++SdOnYrBwbh6Nbq5oY+PkAGWlZUVACijcKIkN2/GtGvXo0ePXrwtPHz48M8//6SqvLCwsI98yvfxYX6lDDXPryZOnJiYmBgWFiaXyznVIFJydHZ29vHxCQkJIdl+jidPnpCY/cyZM9VfQEZGRp06dUQiEb8ookRevHjRoEGDIqIaRT5U8WbNIqKWaq3g4EEEwN690dwcAVDFYlqO48ePA0DLli2Tk5Op4uOrr77i0U9COnh169b9+uuvSUdRR0dHJpOpo6uhcqnMxo0b//Of/xQf5aqrq9uzZ8+5c+fu3r07NDQ0ISGBKhkGDhxY7g5SSejW9vvvvwti7cGDBxTPLVq06Pbt27t3754zZ46dnV3xMfV169bt3bv3/Pnz9+3bd/jwYfJIVc+2SuDOHQRAXV10dEQAnDVLVQO05eCnCJaZmUkp5yKHIVFRUSSzqKWltXv3bh6WeUCxKSK+fv16x44dhXPhAQEB5X5VcnNzvb296YjN1NSUe3TdvHmTG9Dbr1+/1atX09cPAKysrPz8/IrfIApn8S0tLS9evFju4vPz0c8PLS0RAAGwTRuk3+irV7h8OUqlCIC2tshjHGF+fr6fnx+3zaBz8549e6rfZrBnD44bh3fuCHkm8IkQFxcnEok0NDS2bt3Ko7klJyeHmrdoiGbZL37wAOVytLB471rz5+Pq1fj2LbZrh2fOYEAA71zS/8nOzpZKpVKptGzdA5Xw9UUAnDhRLSNnzpwJCAhAxB9++EHA4K/KwvyqXGqeX3GlMitXrvT29h49enTz5s1LVHKcOnXqtm3bTp8+TY+DwYMHC9XvN3bsWADYsGGDINZSU1M7dOgAAD169AgMDFyzZs2oUaO4BzpHrVq1OnbsOGPGjB07dty4cePNmzdFRC3VXARqaaFYjNOmIQAuXszPzNChQwHg22+/RcSoqCgKenn8ojIyMho2bEh/VqlUOnv27BLHhKmEUoH7u3fvqHD+xYsXJF2iUCiio6N//fVXd3f3wYMHcyXIHBT62NjYCKiNvX79egAYO3as+qYSExPpCzB06FArK6siA1mLKNsU/ly0LZ4qlBjHgAEIgF9/jRIJamigKj3v6enpAKCtrc37zc+cOUM7Lq43JSAggLyzZcuWH3O8c25u7tdff42If//9t6enp56eXuvWrf38/FS6N0VERNCXn3btiYmJWVlZ5ubmdnZ2Hh4e3GyUVq1alWv5+vXrlC6iLH5pO+OCgoKjR+NbtHj//GvVCg8dwiJ7geBgpBdIpSiTKTupl3Yy3JqbNWvm6+t7+PBhOlKvXbu2XC7nd15cUIA3b+KePXj9Ok6ciJS1+bSlkFXj8uXLANC5c2d1jHBdiVOnTi2ujBQfH799u7+NzXu/AsCmTdHdHcPDkcrBzp9HNzcEwFGjUM3HXGhoKO1j1bLyb+bORQDcuFEtI2fOnBk9erSHh8fgwYMrPcD6CDC/Kpea51fUXJeXl1dYIzs1NTUkJMTHx8fZ2bljx440JolDKpXa2toKqN//22+/AYD6yuuImJub279/fwBo3br1mDFjtm/fzv3T27dv//jjj40bN44bN65Vq1bc8ULhsKpFixZv3rxRfxmIiF999X5LCpDdsSOPNPnLly81NDSkUilXO/37779TX4HyXYUFBQV79+6l8FhDQ0NbW1uQsTMooBzk27dvOW8jpUKxWHz8+PFDhw59y6uAuzjPnz8XiURqKq8jYmZmZrdu3chZe/XqBQDW1tZlCAvGx8efPn167dq1jo6O1GfAR6WoRK5fRwDU0yM/U8yZo/ylMTExANCkSRN13p/2lE5OTtnZ2a6urvQtGj9+vIDbLWXIzc3t3LmzXC6fN2/ehg0b7t69y++wrKCgwNfXl45E6tevv3//fj8/P0oAAEDTpk19fX2VPP+hLD7dNM3MzIqc8ygUisDAwA4dOjRu/LlUik2boq9vqfUw6ek4fz6KxQiArVvjjRtldVaRZTpcKrzmjIwMCwuL4cOHT5w4kfbuHTp0UKmkVaHAwEC0sUENDfT2xrAwPHcOzc3xxAns2ZO3stEnx7Zt20CJxu5y+fXXX+nEzM7OjjKsmZmZ/v7+Dg4OdJzarFmOvj46O2NQUAk7q6Ag1NdHALS2xudqjCnct28fAKg/h64w//kPAuC5c2oZqVKZ0Y8A86ty+TT9KiMj49q1a9u2bZs6dSodIK9du3bNmjXDhw8XxH52djZVlvOU2SgEjRc1NjamwUP6+vqlnR2lpaXdvn2bk6esVauWVCo9UNJMG54cPVpgbBw2caLHF1+IRSIevYiUJh4xYkTh/+nl5QUABgYGyqjUX7hwgXuOd+zYkU77hQqGK0rHfe7cuQAwY8YMQUJtDlJe//nnn3lbKCgoGDlyJGUxaTiwmZnZc+VuUZGRkTNmzABhO+W/+AIBFF9/HdqnT+dGjZQfY0YSmWoOnH/27BmFua1btwYATU1N9duIeVA4467+md3jx4+p4pM7c7SwsNi3bx+Pkq179+517tyZy+LTePOAgACqJiLLhw+/UMbwtWtoZYV2dj+VkcUPCgoi2VfakhXeZpw/f54akszMzNasWUPnRVKpVCaTldv1oVDg8ePYocP/02zbtr1/Kq9bh5SB09LCDRtQULXVmgl1GgnyNbl165aJiQltMu3t7bmqUE1NzREjRpw8+bjsP+zff2PLlgiAZmZ8yjjz8/PPnz/fpk0bELrp39AQAVA5/YJSOX/+POnB7dq1K5xHnVl1g/lVuTC/8vPzA4A+ffqQGJpQGw+adrRq1Sp1jKxatQoAtLS0ZDIZJZiVnJibl5e3ZMkSChfVWUBhcjMz6+nri0Qi2kvMpbYzVaCIqIjei0KhoKCxVatW74qN3+F48OAB14HasGFDX1/fgoICKnDQ19cX5FShogL3GzduAICpqSmp3gglvErK6w4ODrwt0OhQPT292bNnA4Curq6S395FixYBAKlAmpmZCVVhVhAScqN37+6WliTMNH/+fCUvPHnyJAAMHDhQzQUsXLiQ6pqaNm1aWRmIvLw8Dw8PRIyJifnxxx/VN6hQKDw9PbW0tOrWrbtr1y51FB7z8vLWr1+vpaVF3kJ3TAqsVbWcnY1eXutJMqJp06bnz5/n/ikoKIg0ggCgUaNGPj4+xcPxx48f9+nTh14zcuTIefPm0R/us88+u3TpUmlvevbsrY4d34fsjRrhzp1Y5GwpKem9cBYAdu6MEREppVhiIH6Q91Gm+UEZvv/++8I7TFtbWx8fH+VLnBMT36chdXTw1Cllv7yRkZFyubxp06b0pnp6ehoaGqqOgyiN588RAI2MBDH2CcH8qmyYXyFiamoqKa/TPD511Vc+QDElb+V1RDx8+DCpfru7u0ulUpFIpORM34MHDxoZGdEkKQMDA94TFYszfvx4LmAzNjZWKW135coVADAxMSl+VVpaGqXthg0bVrwuIC4uzsXFhZ7LderUkcvlhXs8qI6I5GXUpAInp9LRABVgDBkyRBCbr1+/JuV1fruWXbt20V5wxYoVJPKvfKvrsWPH6MiDkp1lhEqq8vnnn9OmUCwW165dW8lpCHQWOWnSJHXe+vXr11zjSNu2bZOTk9WxVqWgEwk1a0Y56NYGH6rxFi9ezLvp6u7du1yM7ujoGBAQwJXm169f39vbuwzLCoXC19eX+qcNDAyWLFlCiQHK4hc51woKCiLLbdum1a+P3t5lDQw4cwabNEFz86f6+gbKZPE/TRQKBRXL8Zj8UCKUnaJbpYmJCQ8LOTk4eTL27r2x3K7E58+fe3t7t23bFj7QvHlzDw8PyvXSvVp9zaKTJxEA+/VT08ynBfOrcmF+RXAJPkrxCDI0Vx3ldUS8fPkyKUO4ubnVqVMHVEl7CDyZAAAgAElEQVTenz9/HgBatmzZvn17ADgp3ORemv9lbW1Nj8gLFy4ofy3ti0ob0BsTE2NkZAQAhb8X6enp3t7e9GjW0NBwcXEp3oF69+5diURSq1Yt9fW1KzBwX7FiBQA4OztLpVLeoXZhSBdpwIABALBz505VLz9z5gztBZcvX85D5J8rBaPhdoKIMRF//vknABgaGlLB/aJFi5S5asOGDRRB8n7frKwsOg/p0KFDq1atAKBr164fubq94ggKCgKAfgLd6a9fvw4A5ubmNHVcmRK3MsjLy1u7di2VvtDu3NTUdMuWLUpuBmJiYr744gt6KH755ZcLFy6kWnwui3/hwgVuvoOJiYmv77l/S4qVTGoqurv/QDuTNm3aCNbIUYOIzoq2um3lcI7/iV8RBg0aRA88ABg0aBBvO97e6+kPN2XKlCJZq5SUFD8/P67EmbZ8Li4uISEhCoUiNTV18ODBHh4edBA0aNAgdUTKwsPx1SuMisLDh3nb+BRhflU2zK84OOV1Ek+8du2amgZJQJlKSlasWKHq5Zw634wZM6hAa8qUKcpfnp+fTwPRqbja2dlZ1QWURm5uLj2sqbZC+TqctLQ0ir8flt74FRQURMGkv79/QUGBn58fp2Li4OBQRlxOVUmjR49W+fP8mwoM3B88eEBfZgoyfH191bF2//79Bg0aHDlyZP369WKxuFGjRnv37lX+YCUyMpL0UubNm0e7JSXj48JMmTIFACriWOc///kPANB2QiwW9+jRg1Tkb9++Xdq70E15/fr1/N5RoVDQWZK5uXlsbGxsbCyNOurbt6+AAl6VSEBAABRrLuHNuXPnAMDe3p4yE4IIAEdFRenq6kokkhUrVmQqE1n/G39/f+pV0tPTW7x4MfXBiEQiUvcHAGNj440bN6qqrsWJ2UskkrVr11JP/dOnT8so6ft0OPb2GITCwMfq1qdxkEwQnecuXbpUrbUdO0bVzNSVmJ+fHxQU5OzsXLjE2cHBwd/fv/AtZdmyZQBQp04db29vujG2b9+e34xARHR1RbqtMplRlWB+VTbMrzg45XVqt1O+trZEnjx50qBBA29v76NHj4rFYlNTU7lcXljipmwSEhJo/zBs2DAqIOnTp4+qcREFVLNmzRKJRLq6ujwehaVBPbLkfpqamj/++GN4eHi51a27d+8GgP/85z9lv2zjxo1klhs4071793InJMbGxuro6Ih49csWpgIDd0Sk448FCxbQX5S3nbi4uEaNGgHAqFGjLC0tudI9MzOzDRs2FJm5U5z4+Hi6fMSIEXR6yE8GlY51PvvsM/JRHoNqS2Pbtm30obiZeRza2tpdu3adOXPmzp07b9y4wcVhpNq7d+9efu+4dOlSivk4faInT55QAffQoUOFkt6vRKiUaKKaqr8fOHr0KACMHDmS0uRC3Vwo8j5w4ICHhwePqYdxcXHDhg0jP+nTp8+yZcs0NDQaNmyor68vl8vL/V6URlZWllwu19bW/v7776uXAkNF4xnvCaGwJFaY0tKkpCQA0NHRoeNvdXruidDQUJIeMzY25iYYiMXizz//fM+ePSVuvbKzszn973nz5tHJm6mpKY/hwa9fo6sr7tiBFy+yAEs1mF+VAfOrIowbN47blZmYmPBut+NEsQcOHMhpr1FScsWKFeVqjWdkZHTt2hUAOnXqROW+bdq0UT7o5wgODgaAxo0bU2Hnr7/+yu/jFOf06dNQqNODKDIKqnhiiw6ri0z8zc3NjY6ODgwM9Pb2dnFxsbOzo6IgOutu3Lixn5+fkmVLVIrSrVs3dcqcKjZwX7duHUXb1FHx4sULHkYyMzPpL2pnZ0dqITY2Nnv37uWkdurWrdutW7f45HhELHLWk5eXFxsbS8IgdnZ2nAokPxnUgoICCm1pj+jk5MTDSHFiYmLotIjk4Z89e/b77797eXkNHz6ca/ThkEgkVlZWTk5OdCsMDAzk8Y579uwhDy7cH4mIkZGRdF+eMGGCIBM6K5EtW7YAr3byEtm7dy9tAwBAKpUKYhMR6WtPZvfs2cPPSGBgoJmZWb169V6+fEktboJUCr58+fL06dMzZszYtm3b2LFjWeCOiF9FfwWhcDBJ7ZHJiPihRq5bt270+IyIiFDfZlxcnKWlJZ26WFlZyeVymrxRNpz+9/jx4+keW7t2bSUVBZ4/Rx8f7NABW7dGV1fMy8NJk1A4fYhPAuZXxWF+VRo00dPW1paykPwamrlCWVtb24EDBwJAq1atjhw5Qof/AKClpdWpU6eYhBhEdHd3L3J5dnb2kCFDAMDCwoKEVkxNTfmdqCgUCkrbUz+ko6MjDyMlmnV2dgaA+vXrb9u2bcOGDWPHjm3RokURCXmpVNq+ffvJkydv2bIlJCQkPDxcJBLp6OhcuHBh9+7dbm5uDg4OlpaWVNFahAYNGgwZMuTQoUMqHTKkpaVRTRElxfhRsYH7s2fPSA6S8oKbNm1S1UJBQcHw4cPJP0aNGgUA5ubm3AYgJCTEwcFBJBJp1tHUD9d3jnEeNXXUyJEjW7RoYWJiQnK2AKCtrd2sWTOqLmrSpEmCGoJS5Fskc6mjo6N+RXhKSkrZZ0wpKSkkkE/7PCqnIerUqdO4cWNvb2+Vmkr//PNPihd/+OGH4v8aHh5Opfykz1h92Rq0tefGnt5HvQWx5uPjQ393ADA0NBTEZlZWFgBoamp+9dVXAECzY/mRmJgYEhKCiKQmySN5XyKnT5/et2/fq1evNmzYwAJ3RGwR2QJC4W6mMEM0Xu/efat375NubhOsrIz19IQqvaN9YGmdVaVRWP+bbpVldyUmJ6OvL/bqhSLRe0kiExOcNg0LCvDWLezaFb/9Fl1di84jY5QI8ysO5lflkpOTQ9XbVJjOo92uoKCAHjpNmzalgxEjIyOuMjs0NNTZ2VkikUg0JCbhJg5PHIZPHj537lwbGxsLCwsjIyM6dtbV1TUwMCCZPuXV+UqEjMyYMYP0OXifFRfG3d2dFhYWFlb4/6empgYHB/v4+EycOLFdu3ZchwZRJD1fOL5v3rz5sGHDZDLZ3r17b9y4weNsgWPHjh0U0/L+blZs4I6IdnZ28KEJmofoOAXK9erVIx/V1dUtPnrq9u3bFl0sRDNF4AKigSL99vrcr1ssFpOQ37Rp0/7555+uXbuqObmKmhTNzMwoeX9YvWaZ3FwcMGAQALRt21bJGuLs7Oxbt25t2rRJJBJxTqarqzt79uzIyLIm+xD379+nuLyM++/Vq1epflHVe3SVQhYrg1BYl7BOEGs3t2492KuX/9Kl7p06ufXtK4jNV69e0R2TmkDOnj2rvk3KsanZO8tx+vRpVirDkVGQIQ4Va4Rp5CgEam6ZPh0B8L//fT/wRiBIs2j58uXt2rXbsWOH8heGh4dTSaGlpeWyZcsoNTV27NjCTS/Z2dnHjh0bOXJkv363Ka7S0cHx4/HMGczPR06A4M4drF0bAXDYMKwp7e4VBfMrZH6lItRuRw2dhoaGqsZ/pG2tp6dH9TZaWlrFm1zv37/f2q612EUMMwD6gHEf48KBrFgsFolEQ4cOjY2NtbW1VV6dr0Ru3rwJAKampqTP8dNPP6ljDT/UFCgjG5ibmxsZGcmNgtLS0urSpUutWrWsrKwcHR1lMhm1GpZRHLthwwblhVaJvLy8Vq1aSSSSP2hksepUeOBOA+EGDRpEvaEqTefauXMnANSqVYv0+aVS6blSxqZNnz49Ojv66+dfS0dK4RhAAHQK7hSVHPVT0k9Tbk6BNqC7SFco5XWKjcjjhw4dqo6pWbOwXburrVu3e/r0qUoXkq6lg4NDYGCgvb09F8F37NjRz8+vtPYLrpXE0dGx7EqY8+fPU2p/3TphAt+Pz+znsyEUtr/eXv5LlYFGgc+fjwDYrp0gJp88eULbbtoEqq8PgIjUO6vOmVJhMjMzqagsJSVFwFbsasrL3JdOMU4jo0dmKwTSyuzaFQFw8WIEQIHkFPLz87W1tbnetY0qDoiPi4vr2LEjABgYGKxbt440Cnv06PHy5cuQkJCZM2eSggQAtGrl2L8/HjhQavx05QoaGyMAtm+PKt7ePi2YXzG/UpWzZ88CQKtWrUiF8/Tp08pf6+vrCwAaGhru7u4kvn7s2LESXzl9+vTnOc8XvFggHSGFXwF+Atsg279e/BX4OnDevXlgBVqztXJycgSJrKjsh/oh1VQPP38e+/b9RiQS8RBEyc3NVVWGITMzk0e1+rVr1zip++DgYFUvr/DA/fXr1yQHSR0VXl5eSl546tQpiURC6o1U2lHGLp/rv/E96CuPlxvdNWoW0exg0sE9b/YUYEEj+0YgE0x5ffny5QAwceJEqVRaq1Yt3jKXa9a8zyvcuqXysd/QoUMBgJtV9OjRI5lMxt37TExMZDJZkXGwmZmZFCB27txZGaWRI0eOSCSSzp07V9OIbXzMeAiFA0kCTVGeNQsBcNEiBEA7O0FMhoWFAYC1tbWVlRUIVIpKh5iqKskwlOG7V9+tiFux8eVGWawsrUDtdF9BAdapgwA4YwYCoNoDg4moqCgAaNKkCdWqlpbpKIP09HSqTpRKpUuXLiV9Ekq7ENbW1ps2bVJm3MTff2OLFgiAQ4Z48+hK/ERgfsX8SlU45XVqt1N+nMvJkyeLiGJv2bKltBdzme9dB3b5vPIxuWdieNfwZMpJr3ivrIKsz776DGSCSXRQy+akSZMoXExKSuJn5+5d1NNDAFy/Pqz8VxcjPz+fh8h6Xl4ej8knnEIlj5GxFR64I+KXX34JAK6urhoaGko2C4aGhlLTrqurK8WjMplM+XdML0i/m3l33vN5b/PfIoXaMsGU1zmZS3t7ewDYtWsXDyP+/igWo1iMpex1yyIzM5MUhWJjYwv//9TUVF9fX6qYp5MKR0dHGjtcUFBACgPNmjUrt1uc4/fff4+NjfX09ETEiIgI3go2lcLQJ0MhFI6/Oy6MOSen/yex1J5WS1y6dAkAevXqRefIvLXSOHJz8+rXN9HTqyvI8hiFuZp+9duX3yJiWkGaMAHW33+/H2bbuzcCoBCFUojo7+9PKSu6bfI7eykoKCC1WZFIdPbsWRMTExMTk/r167u6uhYpGC2X5GScPv0kAGhrax89epTHYmo2zK+YX/GD5Mlnz55tYmKyfPlyZS65ffs2FcG6urpSlbxKUzzTC9JvpN/wjPd8kv0EEdeuXQsymDBhAs8P8G/u3btXuHB09+7dPIzExWHjxgiAo0fz7IJIS0vjEef06dOHR6fp9OnTPTw8PDw87O3tVb32YwTu+/fvB4DevXsrmZyOjY2l7fjYsWOpLmXUqFE8RE7WJKyhdp8HDx6AjE8pWGlQcLxw4UIA6N69u6rigCEh7wv1fHz4vPvJkyeh9IYBhULxxx9/fPXVV1zXRYcOHWiPYWhoGBUVpdJ7vX37dtGiRVlZWX/99df27QKVnXwU+vzdB0Lhj1SeNWRFcXD4f+A+ZowgJmm02+DBgyntpE6zC/HmDQKggYEgq2P8i31v9nG+JEyA9euvCICDB2O9egiA8fHqGkRExJUrV8KH4ldjY2N1TO3Zs4c27SQFyLtxIi8vj/KC1JUoyKzHGgPzK+ZX/KC8T5MmTZQ8X42JiSExEycnJwqrHBwceFS5bHu9LSQtBBH/+ecfkIGAyutt2rThwqovvvhC1ctTU9HaGgGwVy/8yIO/+R1xq5Nx/1dHbQUxePBgqVQaGhratm3bTp06dezYsWPHjp07dyY3Ks7o0aNjY2P79OkTExPz5MmTzp07+/n5FRHxUQYXI5cV8SvqSeu1bdDWWNs4MTkxKCho8ODBan8g+Pbbb7W1tQ0NDXfu3PngwQNdXd0mTZpYWVnRR+vSpQvJO5bG0qWQnQ1z58L8+Xze/cSJEwBAYkzFEYlEffv27du3b0JCwoEDB7Zt23b37l1dXV2RSLRq1aqWLVuq+na3b9/28fFJSEjgcW0lklqQCgB6Ej1hzKWlAQAgAgDoCWMzLS0NAPT09NLT0wGAjpjUMwgg2OoY/6J17daX0i/11e0rmMWICACApk3h1CkwMoIPg/fUhBJX1JFfWJuZBzT3Ozk5OS4uTkdHh5szoipSqXTbtm3NmjVbsmSJl5eXlZUV6ce9ePGCzpo+ZZhfMb/ih42NTZ06dTIzM+vWrduiRYuOH7CxseFmYxXGxcXl5cuX9vb20dHRT5486dSpE1XDqvq+EwwnLIpddCb1TBPdJib1TF6mvTx9+jRp1KjJ4sWLExMTBwwYsHXr1uvXr1tZWXHhYmkfqjDOznDnDrRqBcePQyHtPdVITU1NT08n1W/l0dbWfvv2bWJiIs0u/Bjw2CioColAUfVtYczMzAYPHrxixYqjR48+efKE2zGHh4fb29tTYNqsWTNBplSuXbsWAMaPH6++KSI1NZXuX4aGhkUUhVq0cDQ1RQcHlMnQzw8jI1GhwNevkWpqQkPx7l1cuRL5dXQoFAo6jlDybDE9PZ0bxiuVSr28vFQarvT27Vs3NzdEDA8Pr14Z9+C0YN9E39d5r39OUnf+CCKijQ0C4IIF7yvdheCHH36AD48xHR0d9Q3evStg6yyjKNteb1sZv3Jdwrp9b/ZlFag9XTgvD0ND8eJFXL4clTvpVgYLCwv4oOLFYzh0cThRcPVNBQYGenh4qJNnqpEwv1KTT9Cv8vLyBg0aBAAGBgZFgm+JRNK6devx48d/++23Fy9e5A5yY2Njx40bJ2xYtWnTJhBOeR0RFQoFyVNq/jv0lkgkdnbDnJ3xu+/w8mXk5CKzs5FkAl+9wnPnsHVrVL1A/V/8/PPP48aNU/Wq5ORkAwODVatWqXQVVxbPoz6+wjPuq1ev3r9/v7a29vnz57W0tO7cuXPnzp3w8PC7d+/Gx8fHx8efOnWKXqmnp2f9gYYNG+7fv79u3bqBgYFlZ6+VxMnJacWKFcePH8/IyCh361YuBQUFEyZMuHv3bqtWra5du6alpRUZGRkeHh4eHn7nzh1t7SF//AEnT8LJk+9fb2gIS5fCTz9Bu3YQFQUtW8KqVTzfOjw8PDY21szMjJs/VTb79+9PSEho0aLFsGHDNm/eLJfLT506deDAASXT57Vr1+7bty8ANGjQgGQBqgWnUk5dzbg6SG/QtYxr1zKuORk6qWtRLoe4OGjaFDQ1oVcvIdYIqamp8GH0mq6urhAGAQCEsMQogTnGc4Q0d+AA/PMP1K4NurqwdKkgJtPS0mJiYjQ1NV++fAkAXLuLOlCqlWZgq8mQIUOGDBkyY8YMOjOkAZ8M5ldq8gn61YIFC06fPm1kZHTt2jVzc/N79+6FhYWFhYWFh4dHRkY+fPjw4cOHP//8MwCIRCILCwtbW1tbW9u8vLwTJ04YGhqeOXNGkLBq7Nixbm5uJ06cSE1N1RPiqNfLy8vPz4/CRX19/dBC5OS0PXgQDh4EABCJ4LPPwNYWhg0DmQyuXoW//gIDA4iMBNUrM/6Fk5OTk5PK0YKBgUFcXBydRykPtznRVP2AoGIDd39/f7lcLhaLDx06RILuNCCGiI+P5/4qDx48+Oeff4KDg2n+bb169aRS6fHjx0ntSH2aNGnSrVu369evnzx5csyYMWpamz9/fmBgoJGRUWBgIDXrdOrUiWRuifh4CA39/38JCaCvD1OmwI4d0Lu3Wm9N96ahQ4eWNimgMOnp6atXrwaADRs2DBs2bPjw4RMnTrx586aNjY1cLndzcyu3AKl27doDBgwAAFNTU1OBTl0/AgHvAnwb+2qINAAgKDVIAIv16kFQEMTGgr4+CFFtBR9KZTQ0NABAkLseK5WpTly+DH5+AAAzZkBODv/D3UKQMJGVlVVERAQIFGAJaIqD7iS0ZWUIDPOrmu5X3t7e27dv19LS+v3330lFsVu3biQZBwD5+fmPHj3iIqvw8PDo6Ojo6OijR482aNBAQ0Pj+PHjQlW9mpmZ9ezZMzg4+MSJE+PHj1fT2uHDh1etWiWRSLhwsU2bNjT2Kycn5/79d7dvQ1gYhIVBRAQ8fgyPH0PnzjB+PKxZA/b2AKBu1A4AvBO7WlpaT548uXHjxoQJE9RdhDKomqJXnpCQENpJbN26VZnXJyQknDlzZt26df379xeJRPXr1+fRkFoGW7duBYBhw4apbWc3lDKzoDTi4vDOHdy6Fa9cwe7d8fp1/u9Oae9Tp04p82KSWOrVqxf3f1JSUlxcXOhP/8UXXxTRpakxzHg2I6Pgfb/InOdzBLA4adL7NnU3N6H6vejcmXpxeMwmK86RIwiAwp1bMiqSKVPe/+DqiqmpgpikwRcTJkzQ0NCQSCSCNI1NnHiwR49xly/fUt8U8UmVNFQCzK9qtF/98ssvYrFYLBYrKWOSl5cXERHh5+dHJSh6wk3SJbZv3w5qK68j4oULFyiHVeJA9yLk5uKdO7hvH964gevWoZ8fTpuGFy6ouQRERGrI5HHhb7/9ZmJismDBgo/TJF1RgfuTJ0+MjY0BYP78+apeq1AomjVrBgCXL18WcEmvXr0i5XXeEqGIeOIE1q2b2rnzIE45Xkmio5Hk9ufNQ96zgePi4kQikba2tjJdzNT6IxKJrl69WuSfAgICjIyMAEBfX1/9KWVVkGvp12Y8m/Fz0s+nU04LE7hzj8Nvv0UlJtQqA23NN23a5OPjc/DgQTWt5eXhw4e4axeeOsWzfYLxUZk/H4OD8c4dnDxZKJMkskFbwdatW6tvkNME5zusogQ4YStVFa4YSsH8qub6VXBwMPUKfvfddzwup/LawMBAAZfEDepRJ6y6fx/btn3StGmLJUuWqHThixe4bh0qFNinjzCBO29ycnK2bdtGP6s0V5gfFRK4v3nzhrprBw0axG+q1tKlSwFg1qxZwi6MJEJJef3hw4fKK5oTf/2F2toIgN7ePDdVjx7h1Km4dCm/q/Hs2bPa2tpKHhpMmzYNAEaPHl3iv7569YqmOAGAo6OjOt+6qsnb/Lf3Mu9lK7Jf5grQhYNubhgejqmpOHYsqp2xSE1N9fb21tLSMjMza9++vUrjhIsQE4NLl2JeHl6/jh07Ym4ufvcdPnyo5gIZFU9eHgYE4KFDKJCYGiLSwHCSyh4jhGgppwnOqDYwv6qhcMlQ3hNp1q1bB4JKdBD9+/eHD8rr8fHxqmb0OfH1KVOSVS2yyMnBhATMycGffkIVU6nC8zHPfIQP3HNycj7//HMAsLW1TSttbHF53L17F0BI5XVi7969ANC3b19E7N69OwCYmZkNGjRo+fLlR48effLkbRmnHDEx2KABAuC0afwXcOcOAqCREebmqnZhVlbW+fPnEfHp06cnT54s9/UPHjygfXAZY8AUCsXOnTupomv48OFU+fPo0aMHDx6otrhPgZwc3LkT16xRc8r2u3fvPD099fX1actEEpDa2tqbN29WdYv7/Dm6ur4fCLB/P16/josW4caNLHD/RFEoFORXHh4eGhoaq1evVt8mpwnO+GRhflUVSExMpHL2wYMH80uGIuKzZ89EIhGJSAq4tj179sAH5XV7e/tatWrZ2tpOnz59x44d169fz8goSygpLe29YFvPnpjFV1Hp/HkEwJYteV7O8fLlSwMDA0NDw3BeRRH9+/eXy+VyuXzq1KnqLqU8BA7cFQoFFQCYm5u/ePFCHVPUlqpkMbeSpKSkaGlpicXiv/7668svvyzSEWhlla6nh7164bx5uGcPhob+P7xOScF27RAA+/RRN9/apg0C4OnTql319u3bxYsXI+KdO3e4E5kyIK0oZeqUHj9+3L9//3PnztHp26lTp3777TfVFsdQgvT0dG9vb5pXBwB2dnaXLl1KTk7mWg66desWqVwRTmysYu5c1NREAJRI0MkJ3d0xJAQPHsTFi3HRIha4f1pkZ2cHBgaOGTNGV1dXS0srLi4uNzeXd9KkMHI5AuCyZepbYlQ/mF9VETIzMynP2KlTp/T0dHVMde3aFQCEnTX79u1bTU1NiUQSExNjZ2dXRJ7SxuatlRU6OqJcjoGB/yqOys/HoUMRAC0t8fVr/gvIz3+fVFVx/G5R6ImclJT0xx985jZW44x7QEAANUDcu3dPTVPffPMNNcQIsjCioKCgadOmpINet25dOzu7iRMnzpkzZ+rUqQMHDmrWTAGAhf/j9l1btyIAtm37fwFR3qxejQDo7KzaVW/fvu3Ro4eHh8fMmTPLDdxJIldXV1f5WqD79+9/+eWXcrncycmJBe7Ckp6e7uPjw8lv2dnZXbx4sfALTp06RRNDNDQ0ZDJZGadMr1+/lslk3bq5A6BYjCNH4vLlaGKCALh8OR48iG/fYtOmLHD/JFAoFCEhITNnzuR2gzRQomHDhqoOkC+NESMQAA8dEsQYo3rA/KqqcerUKYlEIoj4+ubNmwFg1KhRgiyMw9LS0sTERCwWW1hYDBw4cOrUqS4uLmPHju3QwdrQ8F9hlViMt2+/v2rTJgRAY2N88kTdBcyZgwAok6llRM3Ie+PGjUV+qDiECdy5LtLLly+vWbPm3Llz6tuMjo4WiUQ6OjpqbjELQ+01Ojo69erVK6Ku07x5Du0LZ83CWbPwq6+wTRtctQpTUzE3F/39cetWfPZMgDU8eYIiETZunFj2EVIRlM+4KxQKUp5Zt26d8vbv37/PMu6Ck52d7evry8lo9ujRIygoqMRXpqSkuLq6kjpnu3bt/vrrryIveP369eLFi7W1tQFALBa7uLyWyd6nGeic8dSp91U8VIrPqME8ffrU29ub5pZ/OC20ksvl4eHhffr0oVucIN/i/v1RIkG1kzCM6gHzqyrFvn37uB9OnDjxUIh8THx8vEQiqV27dor6OcgPrFq1CgC0tLRIFoZDJBL16ZM2ahQuXIhubjhjBtrZYZ06eOgQ5uVhXh4GB+OUKWqJ7HGEhCAANm6M6mi6jBo1ysPDw8PDQ/CNjeAIE7hX0BkBHev88ssvglj78ccfKalJ5yDPnz8PDK3O42IAAAyUSURBVAxctWrVyJEjW7fuKBb/K9cukeCIEThqFC5fjpmZQs3KfM/YsYs1NDRU+lzv3r1zd3dHxIiIiB9//LGMVyYlJfXv379hw4Yq1bFFRUWRDFNQUJCw5UmfFPfu3Xv9+jUiXr16defOnVzI3r17d2pRKJuQkBBS2JVKpa6urtyWdfPmzVQNLxKJhg0btnTp8hYtCshRu3VDJQwzagJJSUm+vr52dnbcDAdzc3NXV9fQ0FDuNTk5OTSpWiQSyeVyVd8iORl9fTEkBFNTkWTZbt/GmqvSwUBkflVV4aKp6dOnC2i2d+/eAKC+jhlx+PBhkUgkkUh+++233NzcyMhIPz8/V1dXOzs7Q0NzqfRfYVXjxujqigMG4ObNmJ6OixcLsgRERIUCHRyOWFt/fv36Dd5GqpGiqDCBu4ODA+1UhG1Y9vHxAYDhw4erb+r06dNSqVQkEvmRKGMxUlIwJAR9fNDFBe3ssHZtnDoV585Fb2+8ckXgwJ0+14gRI4Q0ivj999/TD9u2bRNkoDFDVXbs2EGnyUuWLFm2bBkAtG/f3t/fX3kLmZmZMpmMygQtLCxok0l7zn79+i1fvpwKvfr0udS+Pfr7q5VgYFRxOPkIFxcXR0dHqligMr+pU6devHixNBEGHx8fOr2ZMmWKMv39OTkYGIjOzu9VsxwdMT4eW7fGS5fw2DEU4gCVUYVgflUtGDx4cEWEVTt27AAABwcH9U1dvny5jFk9eXkF9+7h/v3o6oo9e6KuLgLghAk4dy66ueGDB0IG7oi4ePFi4KU/zvHJBe4V9IEFUV5HxIiIiLp16wKAp6enkpdkZ2NiIs6di9nZOH68wIF7QkKCRCJR/3MVgduXV323q6ns2LFj5syZcrnczs7u2bNnJ06c4GcnPDzcxsaG8lsuLi4JCQkrVqxo0qQJPV+tra1PnDjHQvYaz/Tp0+Pj4+Pj4ydPnjxu3DiJRGJvb+/n56dM9eCxY8dIMMrOzu51KZ1fCoXiypUrK1f+bmj4/5NGe3t0d8eoKFy1CidOxCNHWIBV02B+VS2ooIx7YmIiKc69UU9F/8GDBzQ2frFyAXhBAUZFYVQUzp2Lyck4ebLAgfutW7cAwNTUlLfqTnZ2dpEfqixVOnBHRHt7ewDYs2cPbwtxcXHU+Td27FhVh1rRkWBQEH7zDe/3L5l+/fqp+bmKM23aNFIj6tevn4BmGcpTOOOenJysjqmcnBwPDw8a383JH7Vr1y4gIODjzGZjVDoTJ0784Ycffvjhh+HDh8fExCQmJqp0+Z07dxo3bgwAlpaWRTReqZqZBOa0tAz19BRWVvj11zh/PjZrhgC4eTN+8w3euoW9e7MAq6bB/Kpa4OXlRT8on3BUki+//BI+DLThR0JCAiWSRo0apar4+ty5iIj79gkcuCMiOd6ff/4psN2qhzCBO3dqJqzsOiLu2bNHQ0Nj5cqV/C5PTU2laWG9evWqUruo3bt3W1lZHRK0r55l3CsdAQN3IiIionHjxmZmZubm5n5+frxzCYzqiPopt7i4uE6dOgGArq4u17vSt29froGsYcOGc+YscHNLtrb+fylqs2a4dStu2oSI6OqK/9ZAYlR7mF994uzdu7dOnTre3t78Ls/IyKD+wy5duigzxP2jsWLFCgDgNjw1mAqZnCog6enpe/fupR9UbZrMz8+n4aCtWrWqapNBs7OzqSzs+fPnKtVAl8G3335LP2yiWyPjo8PlwlVNQpQBCb1v375dKIOM6gInz6WOTldWVta4ceOo45naYMaPH6+np+fk5CSTyQYPHqyrW19PTwGA+vro7IxBQaxxoobD/OoTJzMzkwadJiUlKTPPsTD5+fnDhg2jFixVZ89XNDExMUeOHEHExMREJYeiVFOqeuCOH7ICiYmJy1Qc2DBnzhwAMDIy+vvvvytmafzJzs6eO3cuIkZFRXEBN4NRHCcnJwD46aefKnshjOqKQqGQy+WUCp0+ffqBAwfGjh1LlcoAoKmp6er66NgxrEpHkoxqAPOr6gudujx79kzVUbhz584FgHr16j169Khilsaf5OTkJUuWIGJYWFjNTnVJocoTEREhl8uzsrK45ndlePnyZUBAgJaWVmBgIFU+VTVu3rwpl8uTkpKaNWtW2WthVF1SU1OhUJk7g6EqIpHI09OzWbNmLi4u+/bt2717N/3PXr16TZgwwdHRkZrMGAyVYH5VfQkLC5PL5ampqcVn2pTB06dPDxw4QGFVixYtKm55vLl69apcLn/58mWHDh0qey0VSDUI3Nu1a+fl5fXmzRsa+lU2/v7+gwcP1tHROXPmzI0bN+7fv0+zgqsgXbp08fLyevTo0cmTJyt7LYyqCwXuurq6lb0QRvVm0qRJb968cXNzMzQ0XLhw4YQJE5o2bVrZi2JUe5hfVUdsbW29vLyeP39+4MCBcl986NChsWPHisXikJCQkJCQp0+f9ujR4yMskgd2dnZeXl7h4eHXr1+v7LVUIOLKXkD50K5dIpGQpGPZhIaG5uTkAMC1a9eaNGkyaNCgCl8fLyQSSbt27QCgTp06lpaWlb0cRtWFZdwZQkGtF+PHj3d3d2fRFUMomF9VO8zMzABAQ0PD2Ni43BeHhIQoFAoACA4Obt++PbUOMiqRapBx37BhAwAYGBjIZDJlXr9+/XotLa379+9X8LrUQiqVUtOhubm5ubl5ZS+HUXVJS0sDFrgzhCAiIgIAKGXAYAgF86tqh6enJwCYmprOnDlTmdevWrVKLBY/efKkYpelHgYGBmvWrAEAa2vr9u3bV/ZyKpBqELirikwmMzQ0jIuLq+yFMBgCwDLuDKGgAKtmP9IYHx/mVzUeDw8PqVQ6Y8aMyl5IOVAnpEgkounjNZVqUCqjEmZmZvSXo6FLDEZ1h9W4MwQhLy/v4cOHYrG4TZs2lb0WRs2B+VWNx8TERCQSAYCpqWllr4UBACBCxMpeA4PBKJnc3FxNTU0NDY3c3NzKXgujehMREdG+ffvmzZv//ffflb0WRs2B+RWD8ZGpaRl3BqMmwepkGELBCpEZFQHzKwbjI8MCdwaj6sICd4ZQsACLUREwv2IwPjIscGcwqi6swJ0hFPfu3QPWQcgQGuZXDMZHpgaqyjAYNYOcnByJRHL//v20tLQXL16wfmuGOrAAi1ERML9iMD4yLOPOYFRRkpKSAgICrKysCgoK/vjjj8peDqMak5ycHBsbq6OjY2FhUdlrYdQcmF8xGB8flnFnMKout27d2rFjR0xMDJNaY6gDFSK3bdtWLGbJGoZgML9iMD4+LHBnMKouVlZWX3311e3btxMTEyt7LYxqjFQq7d+/v42NTWUvhFGjYH7FYHx82C6Zwai66OjoNGjQwMDAoLIXwqjGbN682c7O7ty5c8bGxpW9FkbNgfkVg1EpsIw7g1FFadCggaurKwDY2toytTUGb6Kioor8wGCoD/MrBqNSYIE7g1FFkUgkhoaGAFC7du3atWtX9nIY1ZXMzEy5XA4ACQkJlb0WRs2B+RWDUSmwwJ3BYDBqMtra2l5eXgAwY8aMyl4Lo+bA/IrBqBRYjTuDwWDUZDp06FDkBwZDfZhfMRiVgggRK3sNDAaDwWAwGAwGoxxYxp3BYDAYDAaDwagGsMCdwWAwGAwGg8GoBrDAncFgMBgMBoPBqAawwJ3BYDAYDAaDwagGsMCdwWAwGAwGg8GoBrDAncFgMBgMBoPBqAawwJ3BYDAYDAaDwagGsMCdwWAwGAwGg8GoBrDAncFgMBgMBoPBqAawwJ3BYDAYDAaDwagGsMCdwWAwGAwGg8GoBrDAncFgMBgMBoPBqAawwJ3BYDAYDAaDwagGsMCdwWAwGAwGg8GoBrDAncFgMBgMBoPBqAawwJ3BYDAYDAaDwagGsMCdwWAwGAwGg8GoBrDAncFgMBgMBoPBqAawwJ3BYDAYDAaDwagGsMCdwWAwGAwGg8GoBrDAncFgMBgMBoPBqAawwJ3BYDAYDAaDwagGsMCdwWAwGAwGg8GoBrDAncFgMBgMBoPBqAawwJ3BYDAYDAaDwagGsMCdwWAwGAwGg8GoBrDAncFgMBgMBoPBqAawwJ3BYDAYDAaDwagGsMCdwWAwGAwGg8GoBrDAncFgMBgMBoPBqAawwJ3BYDAYDAaDwagGsMCdwWAwGAwGg8GoBrDAncFgMBiM/7VbByQAAAAAgv6/bkegKwQYEHcAABgQdwAAGBB3AAAYEHcAABgQdwAAGBB3AAAYEHcAABgQdwAAGBB3AAAYEHcAABgQdwAAGBB3AAAYEHcAABgQdwAAGBB3AAAYCPFA6mT4xP6fAAACInpUWHRyZGtpdFBLTCByZGtpdCAyMDI1LjAzLjYAAHice79v7T0GIBAAYiYGCFAAYkUgbmBkZNAA0oyMbA4gmpmFWBqmTxBsFiMbA0SYA0IzsUNoZkLGs0NoZlzGY5iDZg8b2Hq4ckI01LUwLjcDI9DpGUyMTAlMzBlMTPJAkxOY5RhYWDOYWDgVWNkSWDkY2NgZOLk0mDi5Fbh5GLh5FXiFEnj5Mpj4+BP4ZBn4BTKY+GUYBAQTBIUymARFFISEGUREGUTEFMTENZjEJBgkJBkkpBgkpBmcQGHPxsjEzMLKxsbHLyAoxCvexQh0BQMsTo6IPD5g68PnAOJMFdh14M+dHfYg9qFv/QcqurjA4mpPfQ8URW4Ei+cKBBxQWvByL4jNqTTpwLvFoftBbAu13QfYzyeBxbkdnh64NccNLL7WfPKBrUmiB0BsOYE/+5lWp4DFw4wZDlSpSILFlweq7094Y7APxO5eIrf/xdWVYLsunVewF9tUDFa/VUnC3v6ZDFi9uNIH+/+H/cDsjS4+DiwrFMDsH/l+DlNjGsHqTc7/sF/PkQs285DqX/u4oEVgM88HTnSonzQFLP4vdJeD/IMOsPqi9EkOV87NAqtpOxbkENz1D8x2bdzjcJLtO5jtUbzUgWu7PzhMnPovO/yxkwWLS8x+5hA/XxMs3nn6tf2duOlg9zxYbbHfiskbzGZK/rx/8wk2sBr5h30HjFqywGwxAOTPlV8CI200AAAC+HpUWHRNT0wgcmRraXQgMjAyNS4wMy42AAB4nH1Vy25TMRDd9yv8A72ap+1Z9iVAqIkEhW1XCBWVHf8vzjipbyosbhIpnhzPnDOvvL78fP7x6/ez8lXJ58v955c/ZT5yfwU7/ecdEeW7EtHVY8kv5fbhw6dDuXu6uX2z3B2/HZ6+FpWiijtU+D325un4+Gbh8rFct42iSvcim4ga4dZG4ykzjJS7cu1bZ3OxwpuZidkCqAm0zaL3JvDI1RrJAmgJ1E24MTM8ane3FdDPQGcCtWvamI2aL5D1FNtrre6J7GquKzntLMe6cU0kuWtbIfspQ5BBtSeyNe/KC2SUu9cMX4nc4FQ2VWOnBZQp4/MWNQSak2koUr+CcjmmL2hnSEmvgVqtCLCUQ/qqrh40MtWktbaCasoClEGhZ/aldltSzToBKB2FyivhHFpXSB9ID5NOSdSckdUVMgvFW2+VEDNrq9R4iWyQpBsH1xji0QTiq9pzh094wq/dMrfEVLWvkDGih2mX0U+ibG2FFEKWgEQOIY435Ig1VkAGTTSesehoJwnivkqnCFyi8UQi2qAJYcvES04SfDZnyQoJgfGqlpjHYyoP1dqSbu8eqwJJFgixgxq4ASjRY5VLqYMkN1LwhWvDaC5DNwArugi6M4GVTZYzLDlGDRqqaW6F6qS+BMZIeTdhi5ympqS6yo/SqYWbcE4uugjdTrwaDIxrjiYUE/ZX5FaiOhD/QrM+ub8qNhiOWwVjXtX84XD/bpWeluvt8XC/L9d8yb5CDZ+2L8o86r4OLU370mMcdV6uA+D7/uLEz83e88dS91XE6eFy3xhczNi5cHGOi83B8Nkv1oPkJZ4BsAZ4WCajnIhxcUrAWJ8sUwXG18bVPVI/W6YUJNeGs8leRuocFb6YLxvupwJJxrDI9CyZUATkqUIyZQi4R5fBucPfRatzUpDLnuYMKHvh+tkylaJLJQPKVDrKnZapS0fx8ac6damcLXsP6NkyOWdXXfZQnt/+3PH96i/qeYhiuuWxngAAAYB6VFh0U01JTEVTIHJka2l0IDIwMjUuMDMuNgAAeJxNUjtOxUAQuwplkDar+c+OIioaKjgAokqLOAGHx5MgRPH27XPsGdt57y8fJ3+d2+v2/vLx+Lw9veHo63X059zu8x/jlHN7/vx78u+UhhnXh++N5zJhH7vNVFIdB5AMsrHrFKXkcejk4qixy3Qm8UZE3NfYeRJT2DhsurFARVOKeI3D5xK9GFF6M9JZB0+hMruGlGoCqLXiEhTl6t9SqxrgJJUBorljbczgXkL4NjEZR2JYmA6Z4aTe7st0yeVD2TCuoUzkwOJYjMWQy2IgIJVzKZbjGq5ejXEKBDfGFdWWFFpIEQfAnXOVSgdDLUSKZLhoyYKL7s6v+cxG2QjiR4RfQjXvpoEFEYK1UI2bhhIMb6RpeKKJ+MeekwNjGsz0pXwT2VxgzQxdXCwqBEMXcvuyaWg2AUCeNxCAUGigNLl9oojuRpf7b0BiixZRdFdehqGwaM79EtqEMJz1PwRVEY/H7x/2cYw1zu4t6AAAAkh6VFh0cmRraXRQS0wxIHJka2l0IDIwMjUuMDMuNgAAeJx7v2/tPQYgEABiJgYIUAZiFSBuYGRk0ADSjIxsDiCamYVYGqZPkEEBRLMxQIQ5IDQTO4RmJmQ8O4RmxmU8hjlo9rCBrYcrRyjDKoyLhnoCxuVmYAT6KIOJkSmBiTmDiUkJaGECsyIDC2sGEwunAitbAisHAxs7AyeXBhMntwI3DwM3rwKvUAIvXwYTH38CnwIDv0AGE788g4BggqBQBpOgiIKQMIOIKIOImIKYuAaTmASDhCSDhBSDhDSDtAyDtCyDtByDEyhu2BiZmFlY2dj4+AUEhXjF1zECncMAi7MJFh8O9Nw2cABxWv6ePCA57609iG26d+6BcgYZsHgAS/6B988Pg8Wv8lUf0GvWtQWxdx1feaDiLed+EPsY04UDAp177EBsMec/B7pZovaB2H/PrD/gsZPxAIi9Z4begbORsWD1joutDsRNEQOLWxus2e+iMRGs3kB6yv4jhrPAdrkqSO0TTJ4BVu+XsnZfcb42WL2dWrT95+pUMFvPi9+hw8sBzN4cIu1gLXloP9T99kD3g9n2l7baG39PAJsZdLXY4UxOPlh8m+oCh7Tzr8Hs6/frHe518YLV7Ms0dsi/t8se6jYHoNvA7LbpMx0OiiiCw+TDiX0Ox4/Xgd3cVXDDQar7NliNA+drhyL1VeBwuHr9qIO2mxtYfW4Ek+P3b0JgtsYfLfv3MYvAbg6MurP/3oIAMHtjs9iBJFV2sJpP26cfSLKrBrPFAOm6n5eTKddgAAADPXpUWHRNT0wxIHJka2l0IDIwMjUuMDMuNgAAeJx9Vs1uFE0MvOcp+gW25Z9ut30kCQKE2EiQ77tyQggEN95flHs3PQtqMUmkGU+17bLLnvz49vXzl+8/Pze5K3l9fHz/7VdZlzzewU7/+I2I8r8S0d2Hkjfl/vWbd+fy8Pzq/sXy8PTf+flT0V7UcIYK/4l99fz04cXC5W05jdrJgnqROkwb4UyleZUVRspDOVlVFo5RuHo39bEBagJbDQltBo9NRxffAFsCtQ7A1OGxK3XuG2C/AENk+EytiRpvgJbAXuHHlMuJ4NKvR/5CjgubTqQaeK/moroB+qU+7soe6VJYgnZ0ojz8yOgtdAwtJ6kkhhpsoEwZHsUWpyHp1a1Z31FiLk8JDTbhlneKapLtoFLO5cRVWxeZXsW1844+a9Liyn0Q6sNVqFnbpjq7RECiOW2egVBkVyruF6iqW7dM1Ybb2GmEs1OUGoKv7G3HbWwzHSAlVdSDNJFErbfYIR0+ITcZQGSinU1jpydGq5KzouUjMzYKddmJnlAnhk9qI2NCTWNsgYw0tTqFIyRcBtrUdwVFZ96WnjQsCWGQmojtiiQ5SZB9OGm+7x3K245mg0YEwVUlMt0ewbsOSXYI8+HknjPMmPW2U50Ykmx1RIw5wyilx5b3mGzChOQyHs1RhB0y22O5X8ac9sGd9zUPuBxQcfNZc8027YCazbEKLx0bCcrIQu1oay45r4wRc08xhanseqPZG8jBRmBsMMuEXLdjodcBGoLBsNQlknDe7QVsgFwMObg8Znxmtr5dnT29ou6NobjsvXTbFun1+fGPNX5Z7PdP58djseePHOu74W8cSzof9VjFLU3HwmU8aj/2agLWI6ST+AX3fFnsWIScHm63XYOLFZszMStxs7cYPv1mOUke4vXZwuLhaVl0OFPMg4sCVsrFstLC6mjz6BHJr5ZFBaugTWcre5mlw6dzeZZkm+4XA8mMYdGjvFlQBOTFQrJkCHhEl5kzBLB4ycw5EPNmnjgDyuHZr5YjHxzIgLKYznanZfHS2Xx80Bcvlavl0IBeLStnzTojoKyctV8semjUrpbFIrV4q7x8fvl3BPd3vwG6xqmd5p/qbQAAAaJ6VFh0U01JTEVTMSByZGtpdCAyMDI1LjAzLjYAAHicTVJLah1BDLxKls/Qr9H/w5CVN17ZBzBevW3ICXz4lNrBGGYaTXVJKpXm/eXjwX8ft9fb+8vH0/Pt9xuOCf9/f4fzPm5f5w/yQx635z/fNz9OGZgR/vq80Y7I5nX3Tall66JdHuSy7rodYa9Ltmj1AETmPoBJkq07b+dAku6iBoN2q4sD8eHGMMpEcijdhRza7nKKFqnq4m3eUIAMLUIb3qwG4mU7u9OXTBNcgNEhpNNGrNBxXbEzNA1Jyc61rtxquEMbVcEzFC6JBfHor+uqzRbeKCsdQ2CMJ2pTNqi1DmRCNlUqKxMILtnJ+QzNPQZdiNRc5AgqdT4Qe1JBEAqMNXfZKUU5pAp05oM1h8B22fCrBoI/8GlakokGTyosIY8zsCuUHMhaMyeTJBrz3GM7kY6zGoWZAeWuUj4LEZamOjRlaOXZr/YhOcX4AAunm0EB1gfANF0PksayRppHHZGpMxX2rl8WzACcU4WZI45RqhUeIzGyTh7WI9jP/ELiDYefPv8BqPSZeq9E0xsAAAJ2elRYdHJka2l0UEtMMiByZGtpdCAyMDI1LjAzLjYAAHice79v7T0GIBAAYiYGCFADYnUgbmBkZNAA0oyMbA4gmpmFWBqmT5BBAUSzMUCEOSA0EzuEZiZkPDuEZsZlPIY5aPawga1nQUijcNFpAtLoNNRvMC43AyPQoxlMjEwJTMwZTEyqQHckMKswsLBmMLFwKrCyJbByMLCxM3ByaTBxcitw8zBw8yrwCiXw8mUw8fEn8Ckz8AtkMPErMQgIJggKZTAJiigICTOIiDKIiCmIiWswiUkwSEgySEgxSMgxSEkzSMkwSMkyyMkzyCkwyCkyOIHijo2RiZmFlY2Nj19AUIhX/BIj0F0MsDitfHDtgIyfzAEQx+bbjgM5pYv2g9j36zoPfGTaD2Y7a4YfmF6weB+I3excdUD7Rqc9iC03c82BjanLwOyY5lMHdL4z2oHYO379PLDWcDOYbae27wBjr44DiM2Rb3eg5j8/mO3emXhgSWQmmD2HYf/+nTsYwWy/9Xz75c/4gNnWMwr3O1Qpgs0XLv2wP/wyF9g9UxxW7f8r+wPM/vtMxu5gKBfY/Vddu+3zOGvB4muVuOyz9l0Au8Fn1x77tLBTYHOWTFRxsBGaDVbzZLW7g/tjNbBe+bQEB+k82b0g9txVRg6fnywGq89ZNd/h1uNWsN+522c4ZIXdB+s9d3aZQ23KHLAaMeXDDqzBM8HsufKFDoEPzoPZ+h/XOvxU0AX75aTieYePkj/A5uTuvuYw+eQesNsy/h13+PD4N9hMtZn/HFg0TMHso18EDqQouYPdpsOifeCpqRxY3Izp7/585lQwu/5x/oGFty3AasQAO0Kw6y7XE+EAAAN2elRYdE1PTDIgcmRraXQgMjAyNS4wMy42AAB4nH1Wy24dNwzd+yv0A1fgQ6LIZWwHSVHkGmidbL0KihTJLv+PHGpszQ0qdGwDM5wzhzx8yd+//fPy9d8fL03vSl5/Pf757WdZlzzewU7/8xsR5YsS0d2nkjfl/v2HP67l4fnd/Zvl4enz9fnvol408A0V/h377vnp05uFy8dysTq4BUm5SG1NxEahSvMqy4+Uh3LpdThR93LhKhZCvkFqIluVsKEjkS1Exo6zJVKrGntouVBVDuEdZz+QwaQDUVcaFhQboB1haqgFAyhI2NgxjgRaVfGuHe8ZenjH6JmiUZ3Zu+G9tgjfMUZ5+J6+owmbF6kWxmQbJFM6lxqjdxlACjhtx8lcnlJ4l0bUilZrRrHllHJ9SzacSiUISsB/kZqKqPY+1AScjBz1rfdZIIIiHZK5MaUxZIecBeLqw8E62dFIvis62wFVdDGU4C7UG/cddEATStNVpGfC2Lh52yEdpGgLd7KYIbs32XKiTDB3jR6ppEER6a7hCWlCPkdraBCu3dF0O+3CiFJqH6weczIY47SLUgSUyDeHm6UeS8otZw4Ryk4mOtNJyJHu9EhDh0gdwWaaDe/UZOs8S9SQmOi9JaUYd9oiDWG2Osya9xSEFPg2mZJT1CFYEGc6x/TydnvkFFmlcNIEMoay7doYbZYpGjYySq6GxtddeTTL0yuSkoOOBFBn3blWRoyGOqIdp250UPboBikzyJFLJrtdzcdWtuoEYmqdZoKw6nxbcW1AjhrdOHo6H6h421Ucxf2YLSHWAnv7km3CaL4d1A6oDWE8ghULlHg368hILiVEiGoeWATatzOkc9Mh9yi2UTpwDBHtEvD++vjbMXIcLPdP18fzYMkfOU+Phr9xHhH5qOc50NJ0LnvGo/q50xPQz83NiV9kni+LnWuYk+F22TZQLDhnYFbiZnEyOJc3rEfJj3gdm1iDPC1LDmeI+eGSgK12WJYKzEGbn56e/NWypGAZtUm2opeZuo4a36yXNumXAsmIYdHFI5lQOOSlQjJlcHh6lxkzzqWlS2bMAZ8388zpUM7C+atlKcWESjqUpXSWOy0rHp3F7/BwM1uH5ewBPSy64tHMc56HS0Uu3mlZKtQOi962OKdDXTGrv1pWzBqvlhVzdvBtv+bz2z9RuL/7Beoyy4S5d+lwAAABwHpUWHRTTUlMRVMyIHJka2l0IDIwMjUuMDMuNgAAeJxVUjtu3jAMvkpHB9AviG8SRqcsmZIDBJm8Fj1BDt+PchCki2xT34uk318+Lvp7Ha/H+8vH0/Px+w1Hvx5fjz7uq/8+r+M+f/Auvo7nP983P07uMuH11+fx4MmupeMhk4g0xvmgKbJo4FmSyuNck0yYbQBNTprjpLkyV4zHmpUA2Th5WpBU8xhKNc6WrIym+QrnrthylqYtaItR86LIfYCWq+0UkmXWIHaypV0Kd/hCO1QTIIMJQxIspi74XJVLUKCKtPYKD8jQdFZcgAJDrwHDZaRN0eDcTWiqhXQpCMnGmuIZ3ZZP1sp7HB6JtmKWwRmsQFf3gEzKikHTFdFmBG1VhbthTo6xYlIqwQWQC1C8R62F/Ii0GMkaZMgBdcyuqprHs9CGAIMg1QvCFFmBcHXan4XMASsYVVdsSgn0MByI5K6UMgVEvJwa41M4IYvlwpraPGYSpXfzcMqbF7mW76V68U2M3i5yqTJ3HoWNh46vdnJnCqzJG5X4P+6Y4oT5oUchSOXuv7DY/T9kqaXuWmJ/eysGg4w9Aw+mjYMGfs6nz3/TraljabWRLAAAAmJ6VFh0cmRraXRQS0wzIHJka2l0IDIwMjUuMDMuNgAAeJx7v2/tPQYgEABiJgYIUAFiNSBuYGRk0ADSjIxsDiCamYVYGqZPkEEBRLMxQIQ5IDQTO4RmJmQ8O4RmxmU8hjlo9rCBrWdBpWCKSaWhfoFxuRkYgR7LYGJkSmBizmBiUgbam8CsxMDCmsHEwqnAypbAysHAxs7AyaXBxMmtwM3DwM2rwCuUwMuXwcTHn8CnyMAvkMHEr8AgIJggKJTBJCiiICTMICLKICKmICauwSQmwSAhxSAhySAhzyApxSApyyApxyAlzSAlw+DEDHQBGyMTMwsrGxsfv4CgEC+zpISU+C5GoMMYYJHIMfHtgbsxdg4gDteDEwdOlDOA2Tm7Zh9IEFIEs+8I5R2YGnXMHsSW+1N3YPLmqbYg9trFaw7cTb+/D8ReHXLxQMYDdrAaz6p/B+4eWGcDYvtJbD0QfPPLfhBbeZbpgSd3U8DslGa3A+rbxQ+A2GfmbtvP9vwI2Byv01P2zzraDTYnMr1/31vmtWD1myK49y9hNAWrt9aXst/1rAjM5r7O4KDoEwRm+xwQdHg+4zlY/eI9E+wr5oaD2ar9m+ztE5XAZnZy5zhsT14GFj+0bZbDRzFBsN5TX2ocVO+a2IHY5ycZO1xInQRWz7xgtcOqhfpgtmvlBQfe25fAbJHMxQ63arnA4bPl7mqHjr8ZYLbNpTSHuj0QcWetrw5HFPXA6hOmvHCYXGgDFr/XcthBOlMW7IYckbV2JptXgN1wyenXfps5oWD2guPCBx4fZwarP+06+QDfpHowWwwAP8iplwC7gCoAAANHelRYdE1PTDMgcmRraXQgMjAyNS4wMy42AAB4nH1Wy24cRwy86yv6B9Tgqx88WisjCQKvgETJ1ScjcGDf/P9IsUfqGQNEZveww6kmWWSRs9++/vP5y7/fP1t/KHH98fz71x9lX/L8ADv9z9fdy99KRA+fSvwoTx9/+e1ebq8fnt4tt5e/7q9/Fu1FJ85Q4Z+xH15fPr1buPxaHkc1UW9WpPowY5yqtK6yw0i5lcdeZQw1B5BoKHMC1ABanb036gA27sNGArQAah3sTly4NvOungDbAfRprCu1oeQ9AfYAtqpuPqk8UjXtmrocB5tm3GbD86Y0ekZ7HvXxJiaLhLCqJEAvt28RvDcXHuWRq7PMmUGZIrrUqaOpRp7TjdJiwvgS3Jl4dI9DOqihUwlUyj3CmvTuHF51Whstg2qw4spdDL64krOn9Hk1iapMIhQKZxT9zFm1A9rMVGTxkymSxo9GUe0kMnVpwFteVVTyHmJjZXgCUmabnqkJor0BGfrsEolOcs0LhVaBM6Plbazqm0iqUCHUiZeeXCNhNUmFJ4w0tXb0myyCC8Y0HyOBS0yHGvKLIkkflBZJYpB0Kc9CGhBAz4EGjaDa1Ka2IGY60mJKdAjj0TXKDjqzU89UJ9EfTAcjSYXHbph1yoBjeWTqbQzkwBhgTT3GHLUQ74T4UCkjG1lzxAHEc3iEysLjGC1jrdGbUXtnI19kSEgzIC+g9MkcHt1CoBkwWtNBxj1GDS7Bf6axY34wXzrJegy9DJ7ppKkdk+YNY2MhYFX0Md2bbW0QTDg5tbVim1PutYdXWwM0KETiaGm25z7en39a98cL4Onl/ny+AOIj55rHW6CMc5nHrZ4r28J0LmbGrfZz/wagnUuWA7/vZzwsG+14DA/XtWhwsWNzJNaLXxYcw+e8bDGJQ7xfb9hWvCybDkeKcXBTwO45LJsFdoyto2ek+WbZqWNn2HK2s5dVuoYOX5aALfebgUTGsOiOLlFQBOTNQqJkCHhGl5XzhL/LPHKkINfB4wgoZ+Pmm+WMhQMRUHaGq91h2bx0Nb/B32UKDstmCrUvi+5YGnVGUpdT7bDoVaOHZbPQlTPWxOau882yuYder+qM+/e/Nvj98B+6ALeczzzuWQAAAbB6VFh0U01JTEVTMyByZGtpdCAyMDI1LjAzLjYAAHicTVI7blwxELtKyjWgFeb/wUMqN66SAxiutg1yAh8+HG1guHiCwMeZITl6f/t48N/H7dft/e3j5fX28/fLq/y/z/m8PpH5Hrfn+Y3/kMft9c/Xn2+nDMy4/vi80VYtslh335JctS7aQSKl664721XXJZtY+SBS3gNIpqKKd1Grr0t3VMkA0t2yLtulVrzu4EaSDqVdzBZtzgjxaVPkZYs3myYovjVUCpSooOB1xWbqznUHxFblQ2IKryWbQ/tZlYRR0GBkecR8MTJ9ujiKMScsFV1zB7rxmUMy4hIqixklbWYAoEkpYwaXiUxb3trWPVVq0rEu/JQigioYV+dAfriZRPRUapnPfGAcYg4F1Aw7F2IpTdfTv40w+kK8TJw5mcGR+4G6jCc0SqUOA+ZHR02pIS/tg4W3nAU0y+zxDtPGPnJ9nAyUZwU63YRVwR/a7NLhnOiEA5aJ9iCdZsPBMiN80oHHY8jOK0lk3q3SR2kywmFMfcqECWqKaexNddJyZDsq4V5K9CTTjqbztlTxLtbL5z9HjZ+rUdYsIQAAAoZ6VFh0cmRraXRQS0w0IHJka2l0IDIwMjUuMDMuNgAAeJylkV1IFFEUx8/c2R3X1p3d2V3Xmdlqp2xtsyJZqahgvQQGvgRhRD0kE9Q60UbgQ70slfQhmGFaUvQkJGT2yRb0yc5VH4rIJCKoEBUi8GHLQBHBkmbOti99UNCFy/93D/f87/9wJ7M3R8FaPmsTyK/l1l5h7eMcBzFLOU6gtvKOf9VCnwSarQLky668kqK88n+zL8or/yf7X3x+ekfA5x2/lULP/+qPEQtHN3DWvAbhiE54g5AKK47OR8HhNIijWHMKutMFQhEUL4iRYrfmLgG3R/P4dY9oENGri8vA6zOItxx8ki75DSIFNX8AgqUQDGmhshgJySCHQVZAXgqKCooGyhJQw6AuBjUC4YUQXgSbeSuKwBHe4RQE0euT/B6HooblslHOigiFX35+ZJytGQ8w+5BO9zOidpk2X090slvKfeRHp5Osdqgja/PoqRPsQfxcjc23BzNsbzyD/C37iq3X0wmbG49Cf7KMx3qVMMjWpaqpzVppHWtNScjll/ezdvMA8nz8jXkvBcgtZ+LmB7MOeTZ2wTSTMvoobheb+1iCeVaVDJuCMoe8/aovu6tNxPzdd+prdjS1Yj264Upi6GUv5jn5uKfG9/4J+jxrDFDSdAPvvMhVU2dbFfYmG7bR2O6tOONIsIJOn+/A+/yni7R29STWP6e66ZeVzVjP9g3Tlp0J5NeVT+lc1yb0nOjL0sgeD3r2GDO0vusY1tsn5mlDZhrzXKt8SwckEWd8l+ull6QIciC6jx6eeoie8sF22jkwi71301GWGduCnsLURnb2kIr13IzIhuuTyJVfm9nI2Fq8E/oO/JS1l4Ec1NgAAAOKelRYdE1PTDQgcmRraXQgMjAyNS4wMy42AAB4nH1Wy24cNxC86yv4Axr0u8mjtTKiILAEJEquPgWBA+fm/4eruSuOBBBZ6TDTW+zuqn5wv3/75+vf//731fKu1ef3x9++/WjrI493sNP//I8x2l9KRHdfWj20h8+//PrcLq+fHt4sl5c/n1//aDqaMc5Q44/YT68vX94s3J7afR7EFqLtXg5lcu+NDpqftuJIu7T7OMjCLNo9HxzWPTZILaQdnsROhTQlS94grZB6BPFIRKdDumWMDdKvPpmJBjcEl3DbpRkF9MN7aE8AdQiHboB55eNuHobvBcRil2QvifpBSj1gPpyFcsd7tMv3KdEwJ29ydFLrtEEyXYmz8WADUlLEt0huL1MiJ1JteOjqkTuktOcSO8KDB3wSRajvkFqM6IiRZgKf7KK69TkLBLU9nSb34co72XkWSFAXZJfl3Z202w4aV6fB6T7qaeCRdtJzFicqnSRme4qk8k58ZHWBuUuUonBKnYO38cdEgkeOkkdlJO06RAg6MXoyqjvRxulGO0GFkSZGh1RoElJDPXdtLAKXaAxmlV580rvbjo/UFCkag6uPazQwTbIrkhhaRKo0JJUma5bzDbBqZEdixLqUS4tkNMAGWSVybIXSBi5r6HwrUU1RHNaHj/o+TV23sfsEiujIXrGRY/qWzoBEfgzveis5DdoG16pPHkkk1+0xRtfc8VGeyBHee2VnmUO2Lqs+gaq4UK+5ZLjcNZHqzFKyDwyeQAE321Ucp59QR8cuQGg0EYq41Ryj+oTqWBfCfNdUmNpWS42aX1S8e+K59gilbVsYUz2hWILUp0aBJo1dEyNUrS9wVu3oaGD7GLkdNq0aYR1TCNzVoW6cfZfs5+fHDxfO9Qp6eHl+PK+g+pPznsFCbHleJvWq541hZTqvBcarjnP7F8DPHc+F7+cqx5ctzoXN5eH9Wja4WLG5Eou2vKPSDJ/LHRap1CFeFywWDk/LosOVYh1cFKDo1bJYYM3ZPHpG6jfLooKtZdPZyl6mdI4av9tDNt2flsoYFj1PlaAIyIuFlGQIeEaXmTP6f/GSmTNulfeTzxVQzsL1m2UxxShLBZTFdJa7LIuXzuLjtlz5qNwsK2cM27Toeap0RlJy9olfLbqia9wsZ/SZc76P1a8WXUx13CyLl82cocbSx/hq0Q9d/r6n6/3tJxme734Caj/ZNo3/zs8AAAHJelRYdFNNSUxFUzQgcmRraXQgMjAyNS4wMy42AAB4nGVSOW4cMRD8isMRMEv0fWDhaBNF9gMERZsafoEe72qOIAhwsBxusbpZVc231/cn/30ev4631/eXx/Hz98tDPvez/re9Duf3PK71W+lTnsfjz9fJt1UGZmx/fBw3WV6edt50MeF7v/EKTo8Tm8YOCC02ltATbJFUOe+0SqLZhkXFweddlpIKD6KWooMUs+6yxC1+3nVJsvaJlkLskkPydpKTF2uCfLeVllHDsUg2GchKKLckU4PKgBDtTYKedDTy1V4aWyQ14bZcSYQ7QOouTZk6q/Y+UWbqWkPq8BrEMntkB9Q6jKAPo2w609iAU2r2+S9ZPQQrt23Li2CLl8GTTTzKle3oqtJJaMJLKjqHk37lzJ7DgH+wr+TDQ9CXKBD3JI8SQwSYjotOmc4w9uWSIr6RcMIV+JZOEjdbzNA6mUpM7jeHwtgKtYUDSCxq8+kD6VYbcbgJKBILm5HeapFSDeSMAXzW4dRnFhxWAyXyMehG8srksRV4YsDDMiW7RFEI7ddQxtmXcuLeA5LC0AeDL9WSwao7t1aBD7+ehDtp2cZghDYWeHfh58vHP+bhrW+vvlHYAAACrHpUWHRyZGtpdFBLTDUgcmRraXQgMjAyNS4wMy42AAB4nHu/b+09BiAQAGImBgjQAmIdIG5gZGTQANKMjGwOIJqZhVgapk+QQQFEszFAhDkgNBM7hGYmZDw7hGbGZTyGOWj2sIGtZ8FHwbRSm4b6HMblZmAEBkMGEyNTAhNzBhOTJtCVCcwaDCysGUwsnAqsbAmsHAxs7AycXBpMnNwK3DwM3LwKvEIJvHwZTHz8CXzqDPwCGUz8agwCggmCQhlMgiIKQsIMIqIMImIKYuIaTGISDBIyDBKSDBKqDJJSDJLKDJIqDFLSDFKKDFJKDNIyDNLyDNIKDDKyDDJyDE7MQDexMTIxs7CysfHxCwgK8bJKSshIS4kzAZMAIwMsGUzf/eGAlZDgARDnUvrFA/9XT9gPYivbLzogWLoFzI573XQg51P3PhDb48CkA29cJtmD2N9eHDzwl3cbmL3b5uEB+bBJdiD2ViOOg0Z7BcDi9/dePHBouakDiM16M+3AxnuCYHaOY/OBkvocMHtFO8eBgC//weptD0zen7zNAyy+ZvfF/ZNSRcHiCa3qByK7ecHu6bvNfsCY/Q+YfURDbb/SC36w+0+8WmF3PrwPLD79uMa++8tmg93jnBNgr5u0A2xO9t1n9g8UNoHVdEgIO5hsNAbrdRAzcli9sAnsx/3r+B32zQ8Fqz9n3OHw4xEHWH19xRaHiasg5rucuewgWLnZBsQWfLLL4ca7ZWD107R7HKacKQWzJaXbHMzWyYD90vXDy6GorAss7uj7zOHr7R9gtjr/agd9CT2wGrGNXxxU2TrB5pcz/HJ4JJoHVrMyea5DbqM02J3PX952sBKF+N37QImDsB+ELdHsduDKfjewmtclUQfK1SXB4h7L9Q6IbE0Ds62yJh3wuW0CViMGAJvfw+tLE+RhAAADvnpUWHRNT0w1IHJka2l0IDIwMjUuMDMuNgAAeJx9VstuHDcQvOsr+ANL9Itk82hJRhwE3gUSJVefgsCBc8v/I9WcFWeNdLKSgJneYndVv6hvX//48vuff30xfyrx+fn1p69/l/2R1yfY6X9+55zlNyWip88lHsrzxx9+vJaXtw/P75aX26/Xt1+KSTHDGSr8PfbD2+3zu4XLp3IZtYk4HF+kSu9DvVCl9Sk7jpSXcum1mU7RcuHKSmIzQWogW6VBQiOQRtNx5t9IC6RVmiwq5UJVhqpagmwHsnmbQwqCmwzJaPaDJrXZ3QE0EfBMgCOAo5J678FNvDlnJD1S5LWB4wi5rTf1kQBnefm2UtTMwE2qq2vP1DBFcK2d+pwdSBlTOPPJXG4hnImH9oIjs8nIss5SrlFAVhXHa0WndMsEQeWnVUDUkgw+WTtrliNeBeLa1ZtRaHdFljLkKpDUzqNxj1K2JpOyCnE/oCwyRgv3KNUclEFHaKLabVKn1Z4GJqkoh1eqKnNGfKhjodYy5Iz4VLmbS1QHSaCUqRASRdXZuEXTmZGhXAmQwZOrk/boY64KEml7isAlZExX9DEEOY0+s4xKjJHU4dJBLmajNbYsSxBxC5/WyMKTq1nPWkSiSAZHYGmrRmoj7XmJGjXUHXWZRzateRo85qij7t59ZVs4L7v4culGatGeyDqnwyFzsVRkU0LO7MQtI6lRHowG4lGMmxkGOAXGlkObD2yNCE3OI82kRnUGPPapa4QwyGl+NEaoVbXWYUaVhESyzsAyC4/dOiYjEomt2CiN3RbSGXWOTQAGJFljYA2E7MmOtowWMpljZJnUAWSvPrAC9Ri0qTMrjvrKEOYBS24hB/9HLmcsD10LqfHx1NAb2XanA2rw5MdOwD2QQ3ntzkikz5h06CcMcKbfokhxF4xmfawZglPPRv3j9fW72+64/55v19fz/osfOS85w984b7J41fO6sjCddxLH6z7cF6CdFwyHYV++Hl+Wft4WHB4e7wSDix2bg1gv82G/M3z6wxaXOMQ7ALY1L8tmxEExDm4J2I2HZatAW9o6ekbyu2VLwcq05Wyzl5W6hho/7EBb7rcCCcaw6PYskVAE5K1CImUIeEaXxRnzvHXJ4jwR82HpcASUs3B+t2ylWCMSAWUrXeUOy9alq/gN2IcNcFi2UkzBsujmrJFnkJKzT9ph0fNUv1tOzOI8wPRh6JZFT4bzbtkMbXH2B4bGh0W3dpO75WzUxXlC8bbY3bKzGrPxOAnx/v5fJJ6f/gESIfnluacEWwAAAd56VFh0U01JTEVTNSByZGtpdCAyMDI1LjAzLjYAAHicfVI7jlwxDLtKyjeAx9DfEgapptkqOcBiq2mDnGAPH8oOgq1SPMOPliiK0vvbx4t/v64f1/vbx+15ff95e8rfe5//u564/l7XOb+wvOR1PX/9e/lySsOM67fP666TiZePfXGL8bjLZJGV486zImsBohlWFANvYuk2HjRVqjg6ilnIx4NnkoY2onjR8UB0pa5OS1pRjayU4AFGcWfbMeZkg2aqWccYnkKlY1xtMYh0ppjYlrS4EZuKaoK0CmLfCBclD5lmeZJ4scngCXihlM80UgOgZJD+WEiJUgBlJtwRah6gWEICipjBGYkqJM2unRMWIS2FVre9ZjIEtxIlOiyhkHmsMc/WVpyQAiNMaq1mziV6PC7bFnMYugQP1BFle5xs7N2BWZdCdGjbD2dSHc3uaalKdg9VYTuI3XSgfY32AaMNWmhKVong3/bMDRFRjtRGPB2TRqrJ6pyY5FDWpUUO4G6gxSg1tfdkTdKMblzSt+P3nM6i7ZeHa66TZ1rbL1YS34kuUnuZInowd28vZTtmVHlE+nI7uyOeRyUVt2mouFTVdvtLsqKxIuzhsSSw0meBXKqthAcGn2pj1YTj9vkHTBO5fH4kSxQAAAI3elRYdHJka2l0UEtMNiByZGtpdCAyMDI1LjAzLjYAAHice79v7T0GIBAAYiYGCFAEYiUgbmBkZNAA0oyMbA4gmpmFWBqmT5BBAUSzMUCEOSA0EzuEZiZkPDuEZsZlPIY5aPawga2HK4fRHGBhJnRhNEfDuNwMjEAfZDAxMiUwMWcwMSkALUhglmdgYc1gYuFUYGVLYOVgYGNn4OTSYOLkVuDmYeDmVeAVSuDly2Di40/gk2PgF8hg4pdlEBBMEBTKYBIUURASZhARZRARUxAT12ASk2CQkGSQkGKQkGaQlmFwAsUCGyMTMwsrGxsfv4CgEK/4NEagQxhgsbOP7+WBxSqSDiDO8SsHDvh2nLQHsQ9wTjvQ5CAAFp80P/oAz4HtYPFNBxMOeJjU7wWxH2jPPrDpie1+EPt66uED71/OsQWx7xq8O6AfIgUWf79n7gGWMP4DIPYRX4EDJqWJYPHH+aIHVKwkwOI37mXtl+H32wdiR4eF7T/9fSnEDQ/X2t1uagKrP3Khxc5VThGsnlfmkP3BulAwW2SJmUMqkxaYbXLM2kHGewpYffeSa/aTNNaBzTz14oF9l/4UsJmK6zocpnt+BYtLvNjgECe8DKzewL7bwTO9CaymiMvNwUHjNZhtzrXN4X/8TTA79cRph4nnd9iB2Jw+Cxx43ZzA4WN39YFDtI4EmD2rncVx3/TjYPXnrm+3P7N2Fthtr7537l8wywfMbuVkO5AYww5Wv6Fi8oFI2QIwWwwA46SYpMMNgZoAAAMMelRYdE1PTDYgcmRraXQgMjAyNS4wMy42AAB4nH1Wy24bMQy8+yv0Axb41OPY2EFTFHGANu01p6JIkd76/+hQTrQbQO3aBnapWXJIDpm8PP98+vHr95PTIcX15fz5+U+al5wPsNN/vr339F2J6HCf4ibd3H78dEmnxw83b5bTw7fL49ekmtTwDiV+j/3w+HD/ZuF0l441S1NySpK1SyucKNO40gwj6ZSOJZN4r5Y4ezWrsgBqAC2X1koPj+LatS6AFkDNplw4PJq6W1sA/Qp05iaSjgAUUSoLZLnGbtYZ50BW41pX6dRrOoBxG+e14G4BbNcCmakVD5eFpNkqn55OLxG9S1fWdETq2ov4AsoU4aM2Vm0QbY1KX0I5PQRU1brbuKvNra+gki7hqzOcatwJMSq1gmqkhbBaxR3Fl17+QTXaRAjfSyTFmbivK8U+kBCIkQdRB4+lRDj6BAlxMRQfrVX1teq4IiXJzbWW4bN4AZMVssGn5A6iiAme7CjTMnof0UstrY/aqxG7rjRPqBLn6pUpFMpeKy2Hg0HTslQWHy6tdqorkUDAd8mzY+B00BSMU1klJDFIltU5mhl1b3Xt0qAQzdRNWwMQPeW1x2iQx2SiL1GB3mRZISkgWbKWJhznWqj7SnFSRzZE2BoSHDDCsgzdwLFiexTSsWaQCi2T6fDYYh/FBEMjjmFaqU2vvTEtUnUMvSLvlYJ17DgUsNZWW8gNCu66dCpjhmUUE+9JZnbilTZ0TBD2HDVr2LRQCde+Esft5fxu5V6X8M3D5bwt4fjItmoNv7ot1HjUbW1amLblyHjUeVwGwLc9x4GfvlscprLtLA4P+8VkcDFjcxArqe9WDMNn2+0RiZd4/omJVT4sMyQHxXhxcsT8Xy0zC8y5jVe3SO3VMlPB3NpwNtnLKJ2jw7tBtOF+ZiDBGBbdD5ZFQJ5ZSJQMAbfoMjg3+NvNBAcF2YufI6BsjWuvlpkp5CwRUGamo91hmXnpaL4jwk6GV8umAX21TM4adUZAmZxDZ3tVxfPbvwW4P/wFLLGTmegRpxgAAAGOelRYdFNNSUxFUzYgcmRraXQgMjAyNS4wMy42AAB4nF1ROW4jQQz8isMR0CJ4Hxg4UqLIfoDhSOliX+DHm2zB2IWTbqJYvKo+7p/vt+Pj/nnZz+14fb+87fBBj+d/vP1LPfhx3P5cfjL/vfwL/ksvX0cCpxAtArMSXmcAsqMsBokIWqeBZ4Y1wytZ1+kgnkwL+8eyGgpicS4BFDNZp4IYqXcNUkauszOlUg2kBMUwOIh9XRE0CiOmi/Uusq4EXKGNMJRIxSBkaT27lwivqRJFmlEEYTH7k02TTkg57S5I5X1Rk4tCXaaMkVg21ouwzVlcvmkMbNqHTi7RyzYmoh1NEGkDCRhR8tDQWdB66lUhtVrGBkNp69ZYcQlNLctzEwdCp2zpMLyDoQWoim4lHDnn7uYhWx/eroRuJMYntLGllfbdvn1pLWZtKX0imDo2hFHU3lWFfNTRNuZ50Bgx9hIZ0gjWkxT3iV21h7V0EZmr61vC2robuW5ExGb+tHRub/p0aSnHrTQJn0Zuruvy9Q2Gu5GrR8NCugAAAm16VFh0cmRraXRQS0w3IHJka2l0IDIwMjUuMDMuNgAAeJx7v2/tPQYgEABiJgYIUAFiNSBuYGRk0ADSjIxsDiCamYVYGqZPkEEBRLMxQIQ5IDQTO4RmJmQ8O4RmxmU8hjlo9rCBvcLIAqGZgDTIOXDt6DQnxLW4pAVRpbkZGIE+y2BiZEpgYs5gYlIGWpzArMTAwprBxMKpwMqWwMrBwMbOwMmlwcTJrcDNw8DNq8ArlMDLl8HEx5/Ap8jAL5DBxK/AICCYICiUwSQooiAkzCAiyiAipiAmrsEkJsEgIcUgIckgIc/CJCnFICkLpOQYpKQZpGQYnJiBbmBjZGJmYWVj4+MXEBTiZZaUkBLfxQh0GgMsHjkmvj1wN8bOAcThenDiwIlyBjA7Z9fsAwlCimD2HaG8A1OjjtmD2HJ/6g5M3jzVFsReu3jNgbvp9/eB2KtDLh7IeMAOVuNZ9e/A3QPrbEBsP4mtB4JvftkPYivPMj3w5G4KmJ3S7HZAfbv4ARD7zNxt+9meHwGb43V6yv5ZR7vB5kSm9+97y7wWrH5TBPf+JYymYPXW+lL2u54Vgdnc1xkcFH2CwGyfA4IOz2c8B6tfvGeCfcXccDBbtX+TvX2iEtjMTu4ch+3Jy8Dih7bNcvgoJgjWe+pLjYPqXRM7EPv8JGOHC6mTwOqZF6x2WLVQH8x2rbzgwHv7EpgtkrnY4VYtFzh8ttxd7dDxNwPMtrmU5lC3ByLurPXV4YiiHlh9wpQXDpMLbcDi91oOO0hnyoLdkCOy1s5k8wqwGy45/dpvMycUzF5wXPjA4+PMYPWnXScf4JtUD2aLAQCrYqmt5Pv1VQAAA1J6VFh0TU9MNyByZGtpdCAyMDI1LjAzLjYAAHicfVbLbhQ7EN3nK/wDadXLZdeCBZnwEmIiXQJbFiwQCHb8vzjlTtwdybo9s5iuPj5Vp149v3/++Pbrz/dvojclr//uP/78W+Yl9zew0/98I6J8VSK6+VTyR7l78+7DtVweX989Wy4PX66Pn4t60Y4zVPgl9vXjw6dnC5f35bZtJhrVimzRzBinNhpXmW6kXMqtb9KaWgBI1JR5AdQE2tbdKzmAlb1ZWwAtgbo1jiAuvFUL11gA6w6MbqwjtKYUvgB6AuumYdGp3NJm6rqkbLuaalx7xfOq1Hwlu+/5iSomQ4SwqiyAUS6/07nXEG7llrdg6X0FZUrvsnVtVTXj7GG0TCaMD6mdiZtHHtJGFZVaQKVc062Je3Cyarfa6gqqqYo3djFw8UbBsZTPo0i0SSdConBGUc+1qrpDq5mKDH3SRZb+s1C0OYl0HT0QdZ1VZPKazcbKYAJSeu2x6iY07QXI7E+XDLRT6DpRKBU0M0pe28i+iSw7VAh54tFPoRmwmiwbTxhh6uaoN1k6F4zpeowElJgONcSXSRJvtEyS5CDp6DzL1kAD+Bpo6BFkm2rXmsJM2zKZkhXCeLhm2iGnO/mq6yTrg+lgBKlgdMOs0wrYBiOT19YQA2OAdcmYc1SzeTuaD5kysrYqjgSAeA5GdFkytlZXqjVr0zZ3NoohhoR0BeTyFkDxzpyMYdmgK2CWxiEmIkcNlNDfl75zfjBf2sk8h14a9+Wkqe2TFhVjY9nAqqjjcm/WsUEw4RRUx4qtQWtWT1YbA9QomyRQ0tWee3O9f7Hu9xfA3cP1/ngB5EeONY+3QGnHMs9bPVa2pelYzIxb9WP/JqAeS5YTP+97PiwTHXgMhvNaNFBM35yBeYnTgmNw9tMWkzzE8/WGbcXDMuVwhpgHpwTsnt0yVWDH2Dh6eOpPlhk6doYNshm9jNRVVPi0BGzQTwWSEcOi07tkQuGQpwrJlMHh4V1GzB18p3nkDEHOg8fpUI7C9SfL4QsH0qHMCEe50zJ16Sh+Bd9pCnbLVIpuHxY8ubx992rya2YboZ3O1t2S/0FeIP3JPhXpiB8rY+ZB+5Nl5iF799ypef/8Nwe/b/4BUdK6U/0dE80AAAHCelRYdFNNSUxFUzcgcmRraXQgMjAyNS4wMy42AAB4nFVSu24bQQz8lZQSsFrwvWQOBgwoCFwlHyCoUhukdeOPz3BtGE6zdzc3JGeGe3u5P/jv4/TrdHu5n6+np9/n2/X5+S4f333u4wv68/zYz/+qHvI4Xf98/vlySsOM129vJ5qqSRbj4lMWZ46DZpBI6rjoXOWq45BJrLwRSa8GZC1FFc+kUh+HzsiUBqSqZBw2Uy15XMCNRdqUcjEbNHlFiHebJE8bPNl0geJTQyVBiQwKHkdMpqo1LoDYMr1JTOE5ZHJovVctwihoMLK1xXwy1vLu4ijGnLCl6LpmoBvvOSQtbkFlMqOkzAwANCmt6MFpIt2Wp5ZVdZWaVIwDPyWJoArG1TmQH95MIqorNc17PjAOMYcCKoadA7GkLtfdv4ww+kC8TLxWZwZH7huqNO7QaClVGDDfOrJLDXlpbSy8ZC+gWHqPF5g29pbr7aShtVeg3U1YFfym9S4dzol2OGCZaDVSy6w5WGaEdzrwuA3ZviULmVep1Fa6GOEwpr7LhAkqim7sRbnTcmTbKuFeUnQnU46mfbdUcS/Gebz++J4T20Ic9vYPsvCkQ910iCkAAAJpelRYdHJka2l0UEtMOCByZGtpdCAyMDI1LjAzLjYAAHice79v7T0GIBAAYiYGCFABYjUgbmBkZNAA0oyMbA4gmpmFWBqmT5BBAUSzMUCEOSA0EzuEZiZkPDuEZsZlPIY5aPawgb3CyAKhmYA0yDlw7eg01LVESnMzMAJ9lsHEyJTAxJzBxKQMtDiBWYmBhTWDiYVTgZUtgZWDgY2dgZNLg4mTW4Gbh4GbV4FXKIGXL4OJjz+BT5GBXyCDiV+BQUAwQVAog0lQREFImEFElEFETEFMXINJTIJBQopBQpJBQp6FSVKKQVIWSMkxSEkzSMkwODED3cDGyMTMwsrGxscvICjEyywpISW+ixHoNAZYPHJMfHvgboydA4jD9eDEgRPlDGB2zq7ZBxKEFMHsO0J5B6ZGHbMHseX+1B2YvHmqLYi9dvGaA3fT7+8DsVeHXDyQ8YAdrMaz6t+BuwfW2YDYfhJbDwTf/LIfxFaeZXrgyd0UMDul2e2A+nbxAyD2mbnb9rM9PwI2x+v0lP2zjnaDzYlM79/3lnktWP2mCO79SxhNweqt9aXsdz0rArO5rzM4KPoEgdk+BwQdns94Dla/eM8E+4q54WC2av8me/tEJbCZndw5DtuTl4HFD22b5fBRTBCs99SXGgfVuyZ2IPb5ScYOF1IngdUzL1jtsGqhPpjtWnnBgff2JTBbJHOxw61aLnD4bLm72qHjbwaYbXMpzaFuD0TcWeurwxFFPbD6hCkvHCYX2oDF77UcdpDOlAW7IUdkrZ3J5hVgN1xy+rXfZk4omL3guPCBx8eZwepPu04+wDepHswWAwC/cqm1MSDvwwAAA1N6VFh0TU9MOCByZGtpdCAyMDI1LjAzLjYAAHicfVbJbtxIDL37K+oHLHCrhYc52G1nQZA2MOPkmsMcBgmc2/w/5rFkl2SAGHUfWtSrx+2R6pef//z49fvvH9JvSlx/Pnz5+W9ZlzzcwE7/83X38l2J6OZriR/l/vHj52u5PN/dv1kuT9+uz38VbUUHzlDh99i756evbxYun8pt30zUqxXZvJsxTm00r7LcSLmU27ZJ72oOIFFX5gSoAbRttFapAVi5desJ0AKoW2d34sJbNW/qCbDuQB/GOkPrSt4SYAtg3dTNB5Vb2kybppR9z6Ya11HxvCr1lqU99vp4FZOZhLCqJEAvl5dw3qoL93LLm7OMkUGZwrtsQ3tVjTiHG6XFhPEpcmfi3jwOaaeKTiVQKddwa9Kac7DqsNprBtXIijduYuDijZw9TZ9nk2iTQYRC4Yyin3lWdYdWMxWZ+ckQSf1Ho2hrJDJ0asBrXlVU8hpiY2UwASmjDs/UBNFegAx9NolAB7nmhUKrkDOj5bXP6ptIqlAh1ImnnlwjYDVJhSeMMHVr6DdZOBeMaT5GAkpMhxriiyJJ65QWSWKQdCrPQhoQQMuBBo2g2lSH1kjMtKfFlOgQxqNplB3pjEYtU51EfzAdjCAVjM0w65QB+2RkarV3xMAYYE0ZY45qiHdAfKiUkfWsOeIA4jkYobJg7L1mWWv0pm+tsZHPZEhIMyDHZHYUejAHpVsoNENGbxqycY9ZAycKMFLnMUAYMB1kLaZeOo901NT2UfOKubFQsCoamS7OOlcIRpyc6tyx1SlnbcFqc4I6hUocPc0W3eP14d2+398A90/Xh+MNEB859jxeA6Uf2zxu9djZFqZjMzNutR0LOAD12LIc+HU/4mFZaMdjMJz3ooFi+eYIrBU/bTgG5zitMYlDvN5vWFc8LSsdjhDj4EoBy2e3rCywZGwePTyNV8sKHUvDJtmKXmbpKjp82gI26VcGEhHDosu7REHhkFcWEiWDw8O7zJgH+E4DyRGCnCePw6EcjRuvlsMXDoRDWRHOdodl5aWz+RV8pynYLStTqH1a8OTy4eMfi1+j2gjtdLbulvgT8g7ZXu0rI53xY2esOuh4taw6hHbPSo37t/85+H3zHw/+usCQ/DkLAAABv3pUWHRTTUlMRVM4IHJka2l0IDIwMjUuMDMuNgAAeJxVUruOHDEM+5WUs4DX0NtSBgEOuBRXJR+w2GrbIG2a+/ijfEGwaQwPh5JIyre3+4N/P44fx+3tfnk9vv283F5fXu7y97vPfTyjvy6Pffmv7CGP4+nP0ykNM65f3g+aqkkW4+pTFmeOk2aQSOq46lzlquOUSay8EUmvBmQtRRXPpFIfp87IlAakqmScNlMteVzBjUXalHIxGzR5RYh3myRPGzzZdIHiU0MlQYkMCh5nTKaqNa6A2DK9SUzhOWRyaH1WLcIoaDCytcX8Y6zl3cVRjDlhS9F1zUA33nNIWtyCymRGSZkZAGhSWtGD00S6LU8tq+oqNakYJ35KEkEVjKtzID/cTCKqKzXNez4wDjGHAiqGnROxpC7X3b+MMPpEvEy8VmcGR+4bqjTu0GgpVRgw3zqySw15aW0svGQvoFh6j1eYNvaW6+2kobVXoN1NWBX8pvUuHc6JdjhgmWg1UsusOVhmhHc68LgN2X4lC5lXqdRWuhjhMKZ+yoQJKopu7EW503Jk2yrhXlJ0J1OOpv22VPEuxmX8+f41J7aFOOz9A+4VpKy4bi5hAAACj3pUWHRyZGtpdFBLTDkgcmRraXQgMjAyNS4wMy42AAB4nHu/b+09BiAQAGImBghQB2JNIG5gZGTQANKMjGwOIJqZhVgapk+QQQFEszFAhDkgNBM7hGYmZDw7hGbGZTyGOWj2sDGogMRZIDQTkAY5B64dnSYgjYuGehLG5WZgBPo4g4mRKYGJOYOJSQ3ooARmVQYW1gwmFk4FVrYEVg4GNnYGTi4NJk5uBW4eBm5eBV6hBF6+DCY+/gQ+FQZ+gQwmfmUGAcEEQaEMJkERBSFhBhFRBhExBTFxDSYxCQYJKQYJSQYJJRYmSSkGSVkgJccgJc0gJcMgJ88gp8Agp8jgxAx0DBsjEzMLKxsbH7+AoBAvs6SElPg9RqAbGWARffrp0wPrzPgPgDjNCccOZC/o3Q9im7pMP3A4axOYfbs2/4BXeds+EPtTaPuB0p+T7UFsh6JtB84e3gFmd3y/eqDo9nw7EPtVJ9PBjCZJsLgr57EDXbrmDiB26EL/A8bJQmB2/Pm8A9f1csHs0ouP9vP9+Q9Wv7LCc399igdYPKF0yf6ekyIQu1wFD4Rc4AG7J0fvyf6i/7/B7Ptf5u17miIAdv/F9Tr2N//0g8UX3bO32505DeyerwLT7OPTt4HN6U/hdDA8vgWsZuYkDQcbfVOwXvl8Dweml/1gP4o6ajqwz50IVn83eLKDQacgWL36vkMOz3tXg9W8nbDEoeZGCFhN0YE9Ds2zfoLZ7Y/KHHiLzoLZOqGXHA5VPQDrTdz3xoHV6gTYPQV/GR1PP8kGi9vPuONgEXIJrN43ntuxhqEfzPYpnuRgGMcCdtsxRcMDhmluYPZEC5cDyWHiYL29rRIHzl9KBbMN1rYfYGU0AasRAwCwqLbKcy5BlAAAA5F6VFh0TU9MOSByZGtpdCAyMDI1LjAzLjYAAHicfVbLbhw3ELzrK/gDIthPNg85WCvHDgKvgETO1YccAgfOLf+PVHNWnBVAZFcCZnpqqrv6xf3x/a9vf//z5zeOh5Kf355//f5vWR9+foC9/c/fGKP8Ia21hy8lL8rTx0+/XMvl9cPTm+Xy8vX6+nuRUZTwTiv0Hvvh9eXLm4XK5/LYK4VKo/LIlaV34tJqm5+y/HC5lEevNAYHkFSpuVpskJJIrZ17655IGRIhG6QmUmpXbtbLY6vs+I4N0g5O5sHKBc7Nm7UN0BNotTdSdQBVRbttgP3Q4+HqjudCzEwbYGSKAh7Dez63MfDKBjjK5cdMUYQLFa7hTLbzTe0QzqpwCiRHl7ZFUnmZKRLS1gsumo3QHZLLNZPdOzfqUI5OidiliCQVtdrDx0hOEiLZcs4CEcLTkGwKC+K25ZwFghAfYZzsZq3ZltQP0h7s3vNqOOTv+gM6rskl1NR58pvTtukowNqqdzU8z/ZkHW3rf0wkwWdPpzzQ8rvcc0OeQNRZRvacsjXZiUfbXFFEUu8u6VuJZdvGKPZnIF1kaKSegLS208M5RbM0yNMcjaC2D1PRIuBUtZF1J+m+7SXOGmn1JiPmtJmHbavJWSKvLSx3QRZArKFWG2SOkUE6Cp/DAT3KWz05RlYDzTuTOeB5DxwASoVr6znAOee6aw7J8ni1zjFmG3WTvh1MDOOldKyhYE25MrC7tpsryxPZOmBK3YNR1F2GRKbzGGJhGaUKjV3SMVdJ2VE8n9VBO7XdfhUDUCHHLX1zRYho4R3Sc365ghDbK7dDngqxK4/0hALgNkxmzQeRb/3HXF9cBTU0Sizy2nWbp6xRrmOkdMxjA3vBtrQfr8/vDpzjCHp6uT6fR1B++TxnFP/9PEzyVs4TQ9N0HguEWxnn9k+AnTueEh/nKsfD4ufCpmS4X8sKiuWbMjAvix2zQOBcdFiknC/ROmCxMGlalhzKEPPFJQH777AsFVhzOl89PcXNsqRga+kkW9HzTJ2hxnd7SCf9acmIYZHzrUxong9LBWfK4PD0zjPmAN/dQqAMge8Hn9Ihn4WLm2UpxShzOuSldJY7LUuXzOIb+O6G8LCsmDFs04IRufz86afFL5lthHb3rh2W/BX0Duk3+1IkM/6OqO8G4LCsPEg2CAKUpVHbzXI2JN0sS2N2/H1/5/3bzzNcP/wHL1zcOr8JB4MAAAHUelRYdFNNSUxFUzkgcmRraXQgMjAyNS4wMy42AAB4nHVSu44bMQz8lZQ+QBbEN5lFgAOc4qrkAwxXboO0ae7jM9QegmvihYXdETmcIXl/ezzp9/Py43J/e7zcLt9+vtxvr68P/vjucx//QfF/Xs7zE8WTn5fbr383n05umPD65f1y5RkeXuMqcxV+47jSjGSPgZfyDAG0ptBS54F4Nicfx5oeapYdRqxI5EkKrgaUWKQRFynrrAQBjUMmCQWS1uSkFbaDVH2ARZB86PQl0IEI87QGLNyiSZYnAzEUYmhezaqcjWQlNECxrSVdJy0gjsBmS8fhcwGhphWxBXuALLhabpi0kphSyQpeKUKtcWRbk+isYrjrpCw5iVW4IwI2ouVTcLeF0DI0DQZLomlxFSwtTtlaHCpyanaMJfHZ8uDFrb8qc3c80qti7I5RZ8lkVeaBEZxTkRnwTwiJZdVZOpkLDlDSYByI4Y7UuriKdoxDYbqAJp3JNuLpGu2bmBljusK4pTdkVd7GO6+Kz3mvEwpQqeylgFXaAoJj7SApyQ9NaGvtJSAszylcefneAsfTW8dTME1rLCtiSwWvV27MMFfTnbvc6sSKCDv5Mv58/5oTM0Gv9P0vApGxp5/lo/MAAAAASUVORK5CYII=", + "text/plain": [ + "" + ] + }, + "execution_count": 8, + "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, molsPerRow=5)" + ] + }, + { + "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", + "| Visualize 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": "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": "markdown", + "id": "14ade1f0", + "metadata": { + "id": "14ade1f0" + }, + "source": [ + "# 2. Setup" + ] + }, + { + "cell_type": "markdown", + "id": "5962dec2-d9ef-475d-8086-ee15954e81f6", + "metadata": {}, + "source": [ + "## 2.1. Loading Ligands and Defining Ligand Atom Mappings" + ] + }, + { + "cell_type": "markdown", + "id": "f734578f", + "metadata": { + "id": "f734578f" + }, + "source": [ + "### Creating OpenFE SmallMoleculeComponents\n", + "\n", + "To keep track of the various inputs being passed through the OpenFE\n", + "toolkit, OpenFE implements a set of Components which define the proteins,\n", + "small molecules, and solvent components which a system may contain. Here we\n", + "use the [SmallMoleculeComponent](https://github.com/OpenFreeEnergy/gufe/blob/main/gufe/components/smallmoleculecomponent.py)\n", + "which takes in either [RDKit molecules](https://www.rdkit.org/docs/source/rdkit.Chem.rdmolfiles.html)\n", + "or [OpenFF molecules](https://open-forcefield-toolkit.readthedocs.io/en/0.9.2/api/generated/openff.toolkit.topology.Molecule.html).\n", + "\n", + "In the backend, OpenFE treats the RDKit molecules as the central representation\n", + "of the ligands, and uses the OpenFF toolkit to convert between objects from\n", + "various toolchains (for example OpenEye's OEMol).\n", + "\n", + "Here we demonstrate how to load the ligands from `inputs/tyk2_ligands.sdf` into a\n", + "list of OpenFE `SmallMoleculeComponent`s for further processing." + ] + }, + { + "cell_type": "markdown", + "id": "fbc94d04-5d68-4123-82b2-97a1b8872375", + "metadata": {}, + "source": [ + "Load ligands using RDKit:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "4096ce97", + "metadata": { + "id": "4096ce97" + }, + "outputs": [], + "source": [ + "import locale\n", + "locale.getpreferredencoding = lambda _: 'UTF-8' # hack for google colab, not needed for local execution\n", + "from openfe import SmallMoleculeComponent\n", + "\n", + "# Load ligands using RDKit\n", + "ligands_sdf = Chem.SDMolSupplier('inputs/tyk2_ligands.sdf', removeHs=False)\n", + "\n", + "# Now pass these to form a list of Molecules\n", + "ligand_mols = [SmallMoleculeComponent(sdf) for sdf in ligands_sdf]" + ] + }, + { + "cell_type": "markdown", + "id": "044045af-020c-4926-b295-0c9db5bd6a0c", + "metadata": {}, + "source": [ + "Load ligands using the OpenFF toolkit:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "b5e5b538-4847-42f5-b29e-6e1f25bbbeed", + "metadata": {}, + "outputs": [], + "source": [ + "from openff.toolkit import Molecule\n", + "from openfe import SmallMoleculeComponent\n", + "\n", + "# Load ligands using OpenFF toolkit\n", + "ligands_sdf = Molecule.from_file('inputs/tyk2_ligands.sdf')\n", + "\n", + "# Now pass these to form a list of Molecules\n", + "ligand_mols = [SmallMoleculeComponent.from_openff(sdf) for sdf in ligands_sdf]" + ] + }, + { + "cell_type": "markdown", + "id": "3a8d5433", + "metadata": { + "id": "3a8d5433" + }, + "source": [ + "OpenFE `SmallMoleculeComponent`s have some useful built-in attributes and methods.\n", + "\n", + "For example, the molecule's name (as defined by the SDF file) can be accessed:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "faacbebb", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "faacbebb", + "outputId": "bc0ad1d9-72ad-49d0-e322-61b2a87d5301" + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "name: lig_ejm_31\n" + ] + } + ], + "source": [ + "print(\"name: \", ligand_mols[0].name)" + ] + }, + { + "cell_type": "markdown", + "id": "b24a3ffa", + "metadata": { + "id": "b24a3ffa" + }, + "source": [ + "As previously stated, `SmallMoleculeComponent`s also use the OpenFF backend to allow conversion between different object types. For example, it's possible to obtain an OpenFF Molecule:" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "29b7c68a", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "29b7c68a", + "outputId": "39e7a77a-d2b8-49d2-8f70-fd8118845a99" + }, + "outputs": [ + { + "data": { + "text/plain": [ + "openff.toolkit.topology.molecule.Molecule" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "type(ligand_mols[0].to_openff())" + ] + }, + { + "cell_type": "markdown", + "id": "9e72bee2-bcb3-466f-86e7-8b51c8932aa7", + "metadata": {}, + "source": [ + "### Ligand Atom Mapping" + ] + }, + { + "cell_type": "markdown", + "id": "3128085c-db8a-4a70-89ef-0fde956fdb40", + "metadata": {}, + "source": [ + "In the [hybrid topology RBFE protocol](https://docs.openfree.energy/en/latest/guide/protocols/relativehybridtopology.html) , an atom mapping defines which atoms are mutated during the alchemical transformation.\n", + "The user can choose between two different atom mappers:\n", + "1. `LomapAtomMapper`\n", + " * based on the maximum common substructure (MCS)\n", + "2. `KartografAtomMapper`\n", + " * based on the 3D geometries of the ligands\n", + "\n", + "While we use the defaults here, please note that the various supported arguments of\n", + "Lomap and Kartograf can be passed to the atom mapper." + ] + }, + { + "cell_type": "markdown", + "id": "1eec9783-4620-43ff-8ef7-a647fd6f54ac", + "metadata": {}, + "source": [ + "**1. `LomapAtomMapper`**" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "01384f2a-99ce-400d-a988-82fd393c4ee5", + "metadata": {}, + "outputs": [], + "source": [ + "from openfe.setup import LomapAtomMapper\n", + "mapper = LomapAtomMapper()\n", + "lomap_mapping = next(mapper.suggest_mappings(ligand_mols[0], ligand_mols[4]))" + ] + }, + { + "cell_type": "markdown", + "id": "140f4e46-a58b-425d-b9cf-ab62078fc050", + "metadata": {}, + "source": [ + "We can also visualize the atom mappings by invoking the individual OpenFE `AtomMapping` objects directly.\n", + "\n", + "Unique atoms between each mapping are shown in red, and atoms which are mapped but undergo element changes are shown in blue. Bonds which either involve atoms that are unique or undergo element changes are highlighted in red." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "00fb84d6-9fa7-4114-96e5-c656ad6f3a3f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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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", + "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": null, + "id": "bbcfd2e2-a50e-4398-85d1-f80b01597720", + "metadata": {}, + "outputs": [], + "source": [ + "# Visualize the mapping in 3D\n", + "from openfe.utils import visualization_3D\n", + "\n", + "visualization_3D.view_mapping_3d(lomap_mapping, show_atomIDs=True)" + ] + }, + { + "cell_type": "markdown", + "id": "f21bf9e5-6cb8-41c1-b0fd-e70ee2e71852", + "metadata": {}, + "source": [ + "**2. `KartografAtomMapper`**\n", + "\n", + "We can also use the `KartografAtomMapper` which is based on the 3D geometries of the ligands." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "c710a20e-2098-461f-8fa6-5e44b19ad6aa", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "INFO:\t#################################\n", + "INFO:\tMap Heavy Atoms \n", + "INFO:\t#################################\n", + "INFO:\tMasking Atoms\n", + "INFO:\tBuild Distance Matrix\n", + "INFO:\tCalculate Mapping\n", + "INFO:\tFind Maximal overlapping connected sets of mapped atoms\n", + "INFO:\t#################################\n", + "INFO:\tMap Hydrogen Atoms: \n", + "INFO:\t#################################\n", + "INFO:\tMasking Atoms\n", + "INFO:\tBuild Distance Matrix\n", + "INFO:\tCalculate Mapping\n", + "INFO:\tFind Maximal overlapping connected sets of mapped atoms\n" + ] + } + ], + "source": [ + "from kartograf import KartografAtomMapper\n", + "# Build Kartograf Atom Mapper\n", + "mapper = KartografAtomMapper(atom_map_hydrogens=True)\n", + "\n", + "# Get Mapping\n", + "kartograf_mapping = next(mapper.suggest_mappings(ligand_mols[0], ligand_mols[4]))" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "56117a03-6503-4317-9364-27e343a4911e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# We can display the atom mapping in 2D by calling it\n", + "kartograf_mapping" + ] + }, + { + "cell_type": "markdown", + "id": "de4592a7", + "metadata": { + "id": "de4592a7" + }, + "source": [ + "## 2.2. Creating a ligand network\n", + "\n", + "A `LigandNetwork` is a set of `SmallMoleculeComponent`s that are connected by `AtomMapping`s of two small molecules. \n", + "\n", + "The user can choose between multiple different network topologies:\n", + "* Minimial spanning tree (MST)\n", + "* LOMAP network\n", + "* Radial (star) network\n", + "* Loading in networks from external software (FEP+ or Orion)\n", + "* Loading in a user-defined network\n", + "\n", + "In this section, we will create and visualize the MST, LOMAP, and radial networks for the TYK2 dataset.\n", + "\n", + "Here, we will be using the `LomapAtomMapper` as the atom mapper for all networks." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "5b89da93", + "metadata": { + "id": "5b89da93", + "scrolled": true + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "INFO:\tTrying to remove edge 0-2 with similarity 0.818731\n", + "INFO:\tChecking edge deletion on distance-to-actives 0 vs 0\n", + "INFO:\tRemoved edge 0-2\n", + "INFO:\tTrying to remove edge 2-6 with similarity 0.860708\n", + "INFO:\tRejecting edge deletion on cycle covering\n", + "INFO:\tTrying to remove edge 0-1 with similarity 0.904837\n", + "INFO:\tRejecting edge deletion on cycle covering\n", + "INFO:\tTrying to remove edge 0-6 with similarity 0.904837\n", + "INFO:\tRejecting edge deletion on cycle covering\n", + "INFO:\tTrying to remove edge 1-2 with similarity 0.904837\n", + "INFO:\tRejecting edge deletion on cycle covering\n", + "INFO:\tTrying to remove edge 1-6 with similarity 0.951229\n", + "INFO:\tChecking edge deletion on distance-to-actives 0 vs 0\n", + "INFO:\tRemoved edge 1-6\n", + "INFO:\tTrying to remove edge 8-3 with similarity 0.904837\n", + "INFO:\tChecking edge deletion on distance-to-actives 0 vs 0\n", + "INFO:\tRemoved edge 8-3\n", + "INFO:\tTrying to remove edge 9-3 with similarity 0.904837\n", + "INFO:\tRejecting edge deletion on cycle covering\n", + "INFO:\tTrying to remove edge 3-7 with similarity 0.904837\n", + "INFO:\tRejecting edge deletion on cycle covering\n", + "INFO:\tTrying to remove edge 8-7 with similarity 0.951229\n", + "INFO:\tRejecting edge deletion on cycle covering\n", + "INFO:\tTrying to remove edge 8-9 with similarity 0.951229\n", + "INFO:\tRejecting edge deletion on cycle covering\n", + "INFO:\tTrying to remove edge 9-7 with similarity 0.951229\n", + "INFO:\tChecking edge deletion on distance-to-actives 0 vs 0\n", + "INFO:\tRemoved edge 9-7\n" + ] + } + ], + "source": [ + "# Create network from the two molecules\n", + "import openfe\n", + "from openfe.setup.ligand_network_planning import generate_radial_network\n", + "from openfe.setup.ligand_network_planning import generate_minimal_spanning_network\n", + "from openfe.setup.ligand_network_planning import generate_lomap_network\n", + "from openfe.setup import LomapAtomMapper\n", + "\n", + "# Create an MST network\n", + "mst_network = generate_minimal_spanning_network(\n", + " ligands=ligand_mols,\n", + " scorer=openfe.lomap_scorers.default_lomap_score,\n", + " mappers=[LomapAtomMapper(),])\n", + "\n", + "# Create a LOMAP network\n", + "lomap_network = generate_lomap_network(\n", + " molecules=ligand_mols,\n", + " scorer=openfe.lomap_scorers.default_lomap_score,\n", + " mappers=[LomapAtomMapper(),])\n", + "\n", + "# Create a radial, choosing the first ligand as central ligand\n", + "radial_network = generate_radial_network(\n", + " ligands=ligand_mols[1:],\n", + " central_ligand=ligand_mols[0],\n", + " mappers=[LomapAtomMapper(),])" + ] + }, + { + "cell_type": "markdown", + "id": "41cd9718-0c2e-4b59-86ee-8dc429915de1", + "metadata": {}, + "source": [ + "We can plot out the different networks to visualize their structure and to see how ligands are being tranformed." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "f4e3ac10-236b-4ff4-a69e-600706288164", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + }, + { + "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=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Visualize the MST network\n", + "from openfe.utils.atommapping_network_plotting import plot_atommapping_network\n", + "\n", + "plot_atommapping_network(mst_network)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "3335c478-ce7c-41a4-b36f-2e4c79581050", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Visualize the LOMAP network\n", + "from openfe.utils.atommapping_network_plotting import plot_atommapping_network\n", + "\n", + "plot_atommapping_network(lomap_network)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "e1c09036-efc7-4bc4-9851-ac16992bf041", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Visualize the radial network\n", + "from openfe.utils.atommapping_network_plotting import plot_atommapping_network\n", + "\n", + "plot_atommapping_network(radial_network)" + ] + }, + { + "cell_type": "markdown", + "id": "2a280ffb-0a71-48ad-b4ec-9374f4460c80", + "metadata": {}, + "source": [ + "Edges along the network can be accessed to recover the individual molecules involved in a given alchemical tranformation and the atom mapping between the two ligands. \n", + "\n", + "**Note: as can be seen in the example below, transformations are defined within OpenFE as going from componentA to componentB**" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "ad80c243-82d7-4599-a4a6-5d651c662f24", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "molecule A smiles: CCC(=O)Nc1cc(NC(=O)c2c(Cl)cccc2Cl)ccn1\n", + "molecule B smiles: CC(C)C(=O)Nc1cc(NC(=O)c2c(Cl)cccc2Cl)ccn1\n", + "map between molecule A and B: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7, 8: 8, 9: 9, 10: 10, 11: 11, 12: 12, 13: 13, 14: 14, 15: 15, 16: 16, 17: 17, 18: 18, 19: 19, 20: 20, 21: 21, 22: 22, 23: 23, 24: 24, 25: 30, 26: 25, 27: 26, 28: 29, 29: 27, 30: 28, 31: 34, 32: 35, 33: 36, 34: 37}\n" + ] + } + ], + "source": [ + "mst_edges = [edge for edge in mst_network.edges]\n", + "\n", + "# Pick an edge\n", + "edge = mst_edges[1]\n", + "\n", + "# Print the smiles of the molecules and the mapping\n", + "print(\"molecule A smiles: \", edge.componentA.smiles)\n", + "print(\"molecule B smiles: \", edge.componentB.smiles)\n", + "print(\"map between molecule A and B: \", edge.componentA_to_componentB)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "9f92262f", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 317 + }, + "id": "9f92262f", + "outputId": "d8dc47c7-c487-4f78-9e19-c388ef6a7c51" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# We can display the atom mapping of an edge by calling it\n", + "edge" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "66dd7d32", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 317 + }, + "id": "66dd7d32", + "outputId": "13a421f2-ce17-49c6-aac0-e3c157d59a91" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from IPython.display import Image\n", + "\n", + "# mappings can also be saved to file if required\n", + "edge.draw_to_file('tyk2_edge.png')\n", + "\n", + "# load it back for visualisation\n", + "Image(\"tyk2_edge.png\")" + ] + }, + { + "cell_type": "markdown", + "id": "8e119e3e", + "metadata": { + "id": "8e119e3e" + }, + "source": [ + "### Storing the ligand network\n", + "\n", + "Created networks can easily be converted to (and also loaded from) a GraphML representation.\n", + "\n", + "This can allow users of OpenFE to store the network to disk for later use." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "0be4c1f4", + "metadata": { + "id": "0be4c1f4" + }, + "outputs": [], + "source": [ + "# Convert to graphml\n", + "with open(\"network_store.graphml\", \"w\") as writer:\n", + " writer.write(mst_network.to_graphml())" + ] + }, + { + "cell_type": "markdown", + "id": "feb4d54a-01a8-4bbe-ac13-1a15cdb79254", + "metadata": {}, + "source": [ + "## 2.3. Defining the Chemical Systems" + ] + }, + { + "cell_type": "markdown", + "id": "cc80f3fb", + "metadata": { + "id": "cc80f3fb" + }, + "source": [ + "`ChemicalSystems` are OpenFE containers which define the various components\n", + "in a system of interest. You can consider `ChemicalSystems` to be the nodes\n", + "along an alchemical network which are connected by edges which carry out\n", + "calculations along Alchemical states to get free energies.\n", + "\n", + "`ChemicalSystems` take in:\n", + "\n", + "1. A dictionary of the chemical components (e.g. `SmallMoleculeComponent`,\n", + " `ProteinComponent`, `SolventComponent`) defining the system.\n", + "\n", + "2. An identifier name (optional), for the `ChemicalSystem`. This is used as part\n", + " of the hash identifier of the `ChemicalSystem`, and can help distinguish between\n", + " otherwise comparable systems." + ] + }, + { + "cell_type": "markdown", + "id": "f5506f1a", + "metadata": { + "id": "f5506f1a" + }, + "source": [ + "In the case of a relative ligand binding free energy calculation for `lig_ejm_31` -> `lig_ejm_47`,\n", + "four `ChemicalSystems` must be defined:\n", + "\n", + "1. `lig_ejm_31` in complex with TYK2 in a box of water\n", + "\n", + "\n", + "2. `lig_ejm_47` in complex with TYK2 in a box of water\n", + "\n", + "\n", + "3. `lig_ejm_31` in a box of water\n", + "\n", + "\n", + "4. `lig_ejm_47` in a box of water\n", + "\n", + "\n", + "Here we will be passing the previously defined `SmallMoleculeComponents` for `lig_ejm_31`\n", + "and `lig_ejm_47`. We will also pass a `ProteinComponent` generated from the PDB file\n", + "present under `inputs/tyk2_protein.pdb`. Finally, instead of passing\n", + "in a specific box of water, we will define a `SolventComponent` which will contain\n", + "the necessary information for OpenMM's `Modeller` class to add water and 0.15 M NaCl\n", + "around the solute when creating the OpenMM simulation objects." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "0b6c9ec3", + "metadata": { + "id": "0b6c9ec3" + }, + "outputs": [], + "source": [ + "# First let's define the Protein and Solvent Components which we will be using\n", + "from openfe import SolventComponent, ProteinComponent\n", + "from openff.units import unit\n", + "\n", + "protein = ProteinComponent.from_pdb_file('inputs/tyk2_protein.pdb')\n", + "\n", + "# Note: the distance from the solute to add water is not defined here but in the\n", + "# the relevant RBFE solver method\n", + "solvent = SolventComponent(positive_ion='Na', negative_ion='Cl',\n", + " neutralize=True, ion_concentration=0.15*unit.molar)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "8c6d6504", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/", + "height": 317 + }, + "id": "8c6d6504", + "outputId": "47026705-938a-4e62-f1af-66e9c50334aa" + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Extract the relevant edge for the lig_ejm_31 -> lig_ejm_47 transform in the radial graph\n", + "ejm_31_to_ejm_47 = [edge for edge in mst_network.edges if edge.componentB.name == \"lig_ejm_47\"][0]\n", + "\n", + "ejm_31_to_ejm_47" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "23b778d6", + "metadata": { + "id": "23b778d6" + }, + "outputs": [], + "source": [ + "# Let's create the four ChemicalSystems\n", + "from openfe import ChemicalSystem\n", + "\n", + "ejm_31_complex = ChemicalSystem({'ligand': ejm_31_to_ejm_47.componentA,\n", + " 'solvent': solvent,\n", + " 'protein': protein,},\n", + " name=ejm_31_to_ejm_47.componentA.name)\n", + "ejm_31_solvent = ChemicalSystem({'ligand': ejm_31_to_ejm_47.componentA,\n", + " 'solvent': solvent,},\n", + " name=ejm_31_to_ejm_47.componentA.name)\n", + "\n", + "ejm_47_complex = ChemicalSystem({'ligand': ejm_31_to_ejm_47.componentB,\n", + " 'solvent': solvent,\n", + " 'protein': protein,},\n", + " name=ejm_31_to_ejm_47.componentB.name)\n", + "ejm_47_solvent = ChemicalSystem({'ligand': ejm_31_to_ejm_47.componentB,\n", + " 'solvent': solvent,},\n", + " name=ejm_31_to_ejm_47.componentB.name)" + ] + }, + { + "cell_type": "markdown", + "id": "1702be9c-a30d-43dc-a291-fefab56a4433", + "metadata": {}, + "source": [ + "## 2.4. Defining the RBFE simulation settings and protocol" + ] + }, + { + "cell_type": "markdown", + "id": "d795f993", + "metadata": { + "id": "d795f993" + }, + "source": [ + "Now that we have a set of atom mappings defined, we know which atoms should\n", + "undergo alchemical transformations to capture the free energy cost of\n", + "transforming from one ligand to another.\n", + "\n", + "To simulate this transformation, we use the equilibrium RBFE protocol\n", + "implemented in OpenFE. This uses OpenMM to run a Perses-like relative\n", + "ligand binding free energy calculation using a single topology approach.\n", + "\n", + "To achieve this simulation, the following steps need to happen:\n", + "\n", + "1. Create OpenMM systems of both end states\n", + "\n", + "\n", + "2. Create a hybrid topology based on these defined end states\n", + "\n", + "\n", + "3. Set an appropriate Lambda schedule\n", + "\n", + "\n", + "4. Set a MultiState reporter to write out appropriate coordinates and energies\n", + "\n", + "\n", + "5. Create an OpenMM sampler (in this case we will be using a replica exchange sampler)\n", + "\n", + "\n", + "6. Carry out the necessary simulation steps (minimization, equilibration, and production)\n", + "\n", + "\n", + "The `RelativeHybridTopologyProtocol` class in `openfe.protocols.openmm_rfe`\n", + "implements a means to achieve all the above with minimal intervention.\n", + "\n", + "Here we work through its usage for the `lig_ejm_31` -> `lig_ejm_47` binding free energy\n", + "test case. As this involves both a relative binding free energy in solvent\n", + "and complex phases, `RelativeHybridTopologyProtocol` will\n", + "be used to build two separate `ProtocolDAG` (directed-acyclic-graph) classes, one for each phase.\n", + "These `DAG`s (which contain the necessary individual simulations), are then executed to yield\n", + "the desired free energy results.\n", + "\n", + "**Note: the underlying components used for the creation of OpenMM hybrid\n", + "topologies and samplers is still in flux, originating mostly from Perses.\n", + "Please consider these to be in beta.**" + ] + }, + { + "cell_type": "markdown", + "id": "fdfc694f", + "metadata": { + "id": "fdfc694f" + }, + "source": [ + "### Defining the RBFE simulation settings\n", + "\n", + "There are various parameters which can be set to determine\n", + "how the RBFE simulation will take place. To allow for maximum user flexibility, these are defined as a series of settings objects which control the following:\n", + "\n", + "1. `protocol_repeats`: The number of completely independent repeats of the entire sampling process.\n", + "\n", + "2. `simulation_settings`: Parameters controling the simulation plan and the alchemical sampler, including the number of minimization steps, lengths of equilibration and production runs, the sampler method (e.g. Hamiltonian replica exchange, `repex`), and the time interval at which to perform an analysis of the free energies.\n", + "\n", + "3. `output_settings`: Simulation output control settings, including the frequency to write a checkpoint file, the selection string for which part of the system to write coordinates for, and the paths to the trajectory and output structure storage files.\n", + "\n", + "4. `alchemical_settings`: Parameters controlling the creation of the hybrid topology system. This includes various parameters ranging from softcore parameters, through to whether or not to apply an explicit charge correction for systems with net charge changes.\n", + "\n", + "5. `engine_settings`: Parameters determining how the OpenMM engine will execute the simulation. This controls the compute platform which will be used to carry out the simulation.\n", + "\n", + "6. `integrator_settings`: Parameters controlling the `LangevinSplittingDynamicsMove` integrator used for simulation.\n", + "\n", + "7. `lambda_settings`: Lambda protocol settings, including number of lambda windows and lambda functions.\n", + "\n", + "8. `forcefield_settings`: Parameters to set up the force field with OpenMM Force Fields, including the general force fields, the small molecule force field, the nonbonded method, and the nonbonded cutoff.\n", + "\n", + "9. `thermo_settings`: Settings for thermodynamic parameters, such as the temperature and the pressure of the system.\n", + "\n", + "10. `solvation_settings`: Settings for solvating the system, including the solvent model and the solvent padding.\n", + "\n", + "11. `partial_charge_settings`: Settings for assigning partial charges to small molecules, including the partial charge method (e.g. `am1bcc`) and the OpenFF toolkit backend (e.g. `ambertools` or `openeye`)." + ] + }, + { + "cell_type": "markdown", + "id": "d7c8ab9e-0185-40d7-a441-7a4cd948dda9", + "metadata": {}, + "source": [ + "The `RelativeHybridTopologyProtocol` class can directly populate the above set of default\n", + "settings through its `default_settings` method.\n", + "Parameters can be overriden after creation.\n", + "In this case, we'll reduce the equilibration length to 0.01 * nanosecond\n", + "and the production to 0.05 * nanosecond in order to reduce the costs of\n", + "running this notebook (in practice, values of 1 and 5 nanoseconds,\n", + "respectively, would be most appropriate)." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "309c059b-85c7-4911-a417-69889a474fe1", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "{'early_termination_target_error': ,\n", + " 'equilibration_length': ,\n", + " 'minimization_steps': 5000,\n", + " 'n_replicas': 11,\n", + " 'production_length': ,\n", + " 'real_time_analysis_interval': ,\n", + " 'real_time_analysis_minimum_time': ,\n", + " 'sampler_method': 'repex',\n", + " 'sams_flatness_criteria': 'logZ-flatness',\n", + " 'sams_gamma0': 1.0,\n", + " 'time_per_iteration': }\n" + ] + } + ], + "source": [ + "from openfe.protocols.openmm_rfe import RelativeHybridTopologyProtocol\n", + "from openff.units import unit\n", + "\n", + "# Create the default settings\n", + "rbfe_settings = RelativeHybridTopologyProtocol.default_settings()\n", + "\n", + "rbfe_settings.simulation_settings.equilibration_length = 10 * unit.picosecond # Reduce equilibration length to 10 picoseconds\n", + "rbfe_settings.simulation_settings.production_length = 50 * unit.picosecond # Reduce prodution length to 50 picoseconds\n", + "\n", + "rbfe_settings.simulation_settings" + ] + }, + { + "cell_type": "markdown", + "id": "ab0eaea9", + "metadata": { + "id": "ab0eaea9" + }, + "source": [ + "### Creating the RFE Protocol\n", + "\n", + "With the Settings inspected and adjusted, we can provide these to the Protocol.\n", + "This Protocol defines the procedure to estimate a free energy difference between two chemical systems,\n", + "with the details of the two end states yet to be defined." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "d1829ab6", + "metadata": { + "id": "d1829ab6" + }, + "outputs": [], + "source": [ + "# Create RBFE Protocol class\n", + "rbfe_protocol = RelativeHybridTopologyProtocol(\n", + " settings=rbfe_settings\n", + ")" + ] + }, + { + "cell_type": "markdown", + "id": "075cad59-5b65-42cf-a900-1df5a2de67f1", + "metadata": { + "jp-MarkdownHeadingCollapsed": true + }, + "source": [ + "# 3. Running a Relative Ligand Binding Free Energy Calculation" + ] + }, + { + "cell_type": "markdown", + "id": "06d9d8a4-d570-42ea-9936-222b5e1728b2", + "metadata": {}, + "source": [ + "## 3.0 Creating the Transformations\n", + "\n", + "Once we have the ChemicalSystems and the Protocol, we can create the Transformation.\n", + "\n", + "The `Transformation` requires as input:\n", + "\n", + "* the two `ChemicalSystem` objects defining either end of the alchemical transformation (`stateA` and `stateB`)\n", + "* a mapping between the two systems\n", + "* the protocol\n", + "* a name (optional)\n", + "\n", + "As previously detailed, we create two sets of transformations for the complex and the solvent legs of the thermodynamic cycle." + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "853d6eef-e716-4284-b02f-8b06f2beb916", + "metadata": {}, + "outputs": [], + "source": [ + "transformation_complex = openfe.Transformation(\n", + " stateA=ejm_31_complex,\n", + " stateB=ejm_47_complex,\n", + " mapping=ejm_31_to_ejm_47,\n", + " protocol=rbfe_protocol, # use protocol created above\n", + " name=f\"{ejm_31_complex.name}_{ejm_47_complex.name}_complex\"\n", + " )\n", + "transformation_solvent = openfe.Transformation(\n", + " stateA=ejm_31_solvent,\n", + " stateB=ejm_47_solvent,\n", + " mapping=ejm_31_to_ejm_47,\n", + " protocol=rbfe_protocol, # use protocol created above\n", + " name=f\"{ejm_31_solvent.name}_{ejm_47_solvent.name}_solvent\"\n", + " )" + ] + }, + { + "cell_type": "markdown", + "id": "026ad9fc-635f-44d2-937c-bbc58edf64da", + "metadata": {}, + "source": [ + "## 3.1. Using the Python API" + ] + }, + { + "cell_type": "markdown", + "id": "7fd71a0e-7bf6-4529-961b-be8dfa7bbbce", + "metadata": {}, + "source": [ + "### Creating the `ProtocolDAG`" + ] + }, + { + "cell_type": "markdown", + "id": "0e2e7d25-5bb6-4344-963d-8cf5298982b4", + "metadata": {}, + "source": [ + "With the `Transformation` defined, we can move onto creating the `ProtocolDAG`.\n", + "\n", + "The `Transformation.create()` method creates a directed-acyclic-graph (DAG) of computational tasks necessary for creating an estimate of the free energy difference between the two chemical systems." + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "77e72e9a-bac0-4059-b0bf-96c15c9b2696", + "metadata": {}, + "outputs": [], + "source": [ + "complex_dag = transformation_complex.create()\n", + "\n", + "solvent_dag = transformation_solvent.create()" + ] + }, + { + "cell_type": "markdown", + "id": "051fb438-1ab0-4d3f-9615-4b2caff9a9b2", + "metadata": {}, + "source": [ + "The individual pieces of computational work are called Units. In this particular Protocol, the Units defined are three independent repeats of the alchemical transformation.\n", + "\n", + "For other Protocols, for example non-equilibrium sampling routines, there might be dependencies between the tasks." + ] + }, + { + "cell_type": "markdown", + "id": "7f5c142d", + "metadata": { + "id": "7f5c142d" + }, + "source": [ + "### Simulating the RelativeLigandTransforms\n", + "\n", + "Individual Units can then be executed by calling the `.execute()` method.\n", + "\n", + "In the first instance we do a dry-run (which does everything but\n", + "starting the simulation) to make sure that the\n", + "hybrid OpenMM system can be constructed without any issues.\n", + "Note: A successful call to `.run()` will return an empty Dictionary." + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "981cde0c", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "981cde0c", + "outputId": "812389bc-3730-416b-8154-79e0e1fb4346", + "scrolled": true + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "INFO:\tPreparing the hybrid topology simulation\n", + "INFO:\tParameterizing molecules\n", + "INFO:\tRequested to generate parameters for residue \n", + "INFO:\tRequested to generate parameters for residue \n", + "INFO:\tCreating hybrid system\n", + "INFO:\tSetting force field terms\n", + "INFO:\tAdding forces\n", + "INFO:\tHybrid system created\n", + "WARNING:\tWarning: The openmmtools.multistate API is experimental and may change in future releases\n", + "/Users/users_name/miniforge3/envs/openfe_env/lib/python3.12/site-packages/mdtraj/core/topology.py:84: UserWarning: atom_indices are not monotonically increasing\n", + " warnings.warn(\"atom_indices are not monotonically increasing\")\n", + "/Users/users_name/miniforge3/envs/openfe_env/lib/python3.12/site-packages/openfe/protocols/openmm_rfe/_rfe_utils/compute.py:56: UserWarning: Non-GPU platform selected: CPU, this may significantly impact simulation performance\n", + " warnings.warn(wmsg)\n", + "WARNING:\tNon-GPU platform selected: CPU, this may significantly impact simulation performance\n", + "INFO:\tCreating and setting up the sampler\n", + "WARNING:\tWarning: The openmmtools.multistate API is experimental and may change in future releases\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Please cite the following:\n", + "\n", + " Friedrichs MS, Eastman P, Vaidyanathan V, Houston M, LeGrand S, Beberg AL, Ensign DL, Bruns CM, and Pande VS. Accelerating molecular dynamic simulations on graphics processing unit. J. Comput. Chem. 30:864, 2009. DOI: 10.1002/jcc.21209\n", + " Eastman P and Pande VS. OpenMM: A hardware-independent framework for molecular simulations. Comput. Sci. Eng. 12:34, 2010. DOI: 10.1109/MCSE.2010.27\n", + " Eastman P and Pande VS. Efficient nonbonded interactions for molecular dynamics on a graphics processing unit. J. Comput. Chem. 31:1268, 2010. DOI: 10.1002/jcc.21413\n", + " Eastman P and Pande VS. Constant constraint matrix approximation: A robust, parallelizable constraint method for molecular simulations. J. Chem. Theor. Comput. 6:434, 2010. DOI: 10.1021/ct900463w\n", + " Chodera JD and Shirts MR. Replica exchange and expanded ensemble simulations as Gibbs multistate: Simple improvements for enhanced mixing. J. Chem. Phys., 135:194110, 2011. DOI:10.1063/1.3660669\n", + " \n" + ] + }, + { + "data": { + "text/plain": [ + "{'debug': {'sampler': }}" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# complex dry-run\n", + "complex_unit = list(complex_dag.protocol_units)[0]\n", + "\n", + "complex_unit.run(dry=True, verbose=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "77accb06", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "77accb06", + "outputId": "e0b977c0-7e72-4a49-d3ea-eb0cdb85ed5d", + "scrolled": true + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "INFO:\tPreparing the hybrid topology simulation\n", + "INFO:\tParameterizing molecules\n", + "INFO:\tRequested to generate parameters for residue \n", + "INFO:\tRequested to generate parameters for residue \n", + "INFO:\tCreating hybrid system\n", + "INFO:\tSetting force field terms\n", + "INFO:\tAdding forces\n", + "INFO:\tHybrid system created\n", + "WARNING:\tWarning: The openmmtools.multistate API is experimental and may change in future releases\n", + "/Users/users_name/miniforge3/envs/openfe_env/lib/python3.12/site-packages/mdtraj/core/topology.py:84: UserWarning: atom_indices are not monotonically increasing\n", + " warnings.warn(\"atom_indices are not monotonically increasing\")\n", + "/Users/users_name/miniforge3/envs/openfe_env/lib/python3.12/site-packages/openfe/protocols/openmm_rfe/_rfe_utils/compute.py:56: UserWarning: Non-GPU platform selected: CPU, this may significantly impact simulation performance\n", + " warnings.warn(wmsg)\n", + "WARNING:\tNon-GPU platform selected: CPU, this may significantly impact simulation performance\n", + "INFO:\tCreating and setting up the sampler\n", + "WARNING:\tWarning: The openmmtools.multistate API is experimental and may change in future releases\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Please cite the following:\n", + "\n", + " Friedrichs MS, Eastman P, Vaidyanathan V, Houston M, LeGrand S, Beberg AL, Ensign DL, Bruns CM, and Pande VS. Accelerating molecular dynamic simulations on graphics processing unit. J. Comput. Chem. 30:864, 2009. DOI: 10.1002/jcc.21209\n", + " Eastman P and Pande VS. OpenMM: A hardware-independent framework for molecular simulations. Comput. Sci. Eng. 12:34, 2010. DOI: 10.1109/MCSE.2010.27\n", + " Eastman P and Pande VS. Efficient nonbonded interactions for molecular dynamics on a graphics processing unit. J. Comput. Chem. 31:1268, 2010. DOI: 10.1002/jcc.21413\n", + " Eastman P and Pande VS. Constant constraint matrix approximation: A robust, parallelizable constraint method for molecular simulations. J. Chem. Theor. Comput. 6:434, 2010. DOI: 10.1021/ct900463w\n", + " Chodera JD and Shirts MR. Replica exchange and expanded ensemble simulations as Gibbs multistate: Simple improvements for enhanced mixing. J. Chem. Phys., 135:194110, 2011. DOI:10.1063/1.3660669\n", + " \n" + ] + }, + { + "data": { + "text/plain": [ + "{'debug': {'sampler': }}" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# solvent dry-run\n", + "solvent_unit = list(solvent_dag.protocol_units)[0]\n", + "\n", + "solvent_unit.run(dry=True, verbose=True)" + ] + }, + { + "cell_type": "markdown", + "id": "ceba2266-8ad5-4205-96df-4b6403fc3b50", + "metadata": {}, + "source": [ + "## 3.2. Using the CLI\n", + "\n", + "Even when using the Python API to set up the RBFE calculations, you can dump all `Transformation`s to a JSON file and run the calculations using the `openfe quickrun` command. Here, we will show you how to save the `Transformation`s to the JSON file." + ] + }, + { + "cell_type": "markdown", + "id": "043672e9-20e5-4b2c-8977-cca0e2ddf23e", + "metadata": {}, + "source": [ + "We’ll write out the transformation to disk, so that it can be run using the `openfe quickrun` command:" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "12d35b4c-b737-4c3c-9fda-dc387aaa6915", + "metadata": {}, + "outputs": [], + "source": [ + "import pathlib\n", + "# first we create the directory\n", + "transformation_dir = pathlib.Path(\"tyk2_json\")\n", + "transformation_dir.mkdir(exist_ok=True)\n", + "\n", + "# then we write out the transformations\n", + "transformation_complex.dump(transformation_dir / f\"{transformation_complex.name}.json\")\n", + "transformation_solvent.dump(transformation_dir / f\"{transformation_solvent.name}.json\")" + ] + }, + { + "cell_type": "markdown", + "id": "05d4c16c-1d16-4ef1-a1b3-2eec6275c778", + "metadata": {}, + "source": [ + "You can run the RBFE simulations from the CLI by using the `openfe quickrun` command, as described in Section 5. below." + ] + }, + { + "cell_type": "markdown", + "id": "e07d1e29", + "metadata": { + "id": "e07d1e29" + }, + "source": [ + "# 4. Analysis" + ] + }, + { + "cell_type": "markdown", + "id": "2accbbd1", + "metadata": { + "id": "2accbbd1" + }, + "source": [ + "Finally now that we've \"run\" our simulations, let's go ahead and gather the free energies for both phases. \n", + "First we will take a look at the way to do this using our python api, then we will show how to use our `openfe gather` command on pre-computed results.\n", + "\n", + "## 4.1 Analysis - Python API\n", + "\n", + "We can use the python API to gather the free energies for both phases by passing the results of executing the DAGs and calling the `gather()` methods of `RelativeLigandTransform`.\n", + "This takes a **list** of completed DAG results, catering for when simulations have been extended." + ] + }, + { + "cell_type": "markdown", + "id": "f69eb5cb-88ce-4e11-b05e-5591a2ed66c2", + "metadata": { + "colab": { + "base_uri": "https://localhost:8080/" + }, + "id": "fd1332db", + "outputId": "5b7d8379-d10d-4bf7-eb32-527998843e91", + "tags": [ + "nbval-skip" + ] + }, + "source": [ + "For production use we recommend saving the transformations to disk and using `openfe quickrun` to run them in an HPC environment, but for completeness, below is a python snippet that will run the transformations we defined earlier and then analyze the results. \n", + "\n", + "``` python\n", + "# Finally we can run the simulations\n", + "complex_path = pathlib.Path('./complex')\n", + "complex_path.mkdir()\n", + "\n", + "# First the complex transformation\n", + "complex_dag_results = execute_DAG(complex_dag, scratch_basedir=complex_path, shared_basedir=complex_path)\n", + "\n", + "# Next the solvent state transformation\n", + "solvent_path = pathlib.Path('./solvent')\n", + "solvent_path.mkdir()\n", + "\n", + "solvent_dag_results = execute_DAG(solvent_dag, scratch_basedir=solvent_path, shared_basedir=solvent_path)\n", + "\n", + "# Get the complex and solvent results\n", + "complex_results = rbfe_protocol.gather([complex_dag_results])\n", + "solvent_results = rbfe_protocol.gather([solvent_dag_results])\n", + "\n", + "print(f\"Complex dG: {complex_results.get_estimate()}, err {complex_results.get_uncertainty()}\")\n", + "print(f\"Solvent dG: {solvent_results.get_estimate()}, err {solvent_results.get_uncertainty()}\")\n", + "```" + ] + }, + { + "cell_type": "markdown", + "id": "d53f72e1-ebec-4cad-8054-1746e1e79074", + "metadata": {}, + "source": [ + "## 4.2 Analysis - `openfe gather`\n", + "\n", + "First we will download some TYK2 transformations we already ran. These results are from an entire TYK2 network and not a single edge. " + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "059068d3-d9e2-4923-80ca-c2989a559d1f", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Fetching /Users/users_name/miniforge3/envs/openfe_env/lib/python3.12/site-packages/openfecli/tests/data/rbfe_results.tar.gz\n" + ] + } + ], + "source": [ + "# Results from our cli tutorial\n", + "locale.getpreferredencoding = lambda: \"UTF-8\" # hack for google colab, not needed for local execution\n", + "!openfe fetch rbfe-tutorial-results\n", + "# Extract results\n", + "!tar -xf rbfe_results.tar.gz" + ] + }, + { + "cell_type": "markdown", + "id": "9fe99e84-1857-47a5-adea-bf0983e8a750", + "metadata": {}, + "source": [ + "Now we can use the `openfe gather` command to look at the results (see section 5.3 for more details)" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "ab9f2cca-8458-4515-a64a-20370151e1a5", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ligand\tDG(MLE) (kcal/mol)\tuncertainty (kcal/mol)\n", + "lig_ejm_31\t-0.09\t0.05\n", + "lig_ejm_42\t0.7\t0.1\n", + "lig_ejm_46\t-0.98\t0.05\n", + "lig_ejm_47\t-0.1\t0.1\n", + "lig_ejm_48\t0.53\t0.09\n", + "lig_ejm_50\t0.91\t0.06\n", + "lig_ejm_43\t2.0\t0.2\n", + "lig_jmc_23\t-0.68\t0.09\n", + "lig_jmc_27\t-1.1\t0.1\n", + "lig_jmc_28\t-1.25\t0.08\n" + ] + } + ], + "source": [ + "!openfe gather results/ --report dg -o final_results.tsv\n", + "!cat final_results.tsv" + ] + }, + { + "cell_type": "markdown", + "id": "c3a26c6b-c958-4607-a191-f84c626d2db1", + "metadata": {}, + "source": [ + "# 6. Useful References for Exploring OpenFE Further" + ] + }, + { + "cell_type": "markdown", + "id": "2dc92d40-5a28-404f-bbff-5081cec5f995", + "metadata": {}, + "source": [ + "In our [documentation](https://docs.openfree.energy/en/latest/index.html), \n", + "we provide tutorials for ever protocol to walk you through setup, execution and analysis step by step.\n", + "\n", + "* [RBFE CLI tutorial](https://docs.openfree.energy/en/latest/tutorials/rbfe_cli_tutorial.html)\n", + "* [RBFE Python tutorial](https://docs.openfree.energy/en/latest/tutorials/rbfe_python_tutorial.html)\n", + "* [AHFE tutorial](https://docs.openfree.energy/en/latest/tutorials/ahfe_tutorial.html)\n", + "* [MD tutorial](https://docs.openfree.energy/en/latest/tutorials/md_tutorial.html)\n", + "\n", + "In addition to the tutorials, you can find [cookbooks](https://docs.openfree.energy/en/latest/cookbook/index.html), written as How-to guides on how to utilize different components of the toolkit, as well as a [User Guide](https://docs.openfree.energy/en/latest/guide/index.html) that goes into the underlying concepts of the OpenFE toolkit.\n", + "\n", + "For details about the toolkit's core methods and classes, please visit our [API Reference](https://docs.openfree.energy/en/latest/reference/index.html) or our [Github page](https://github.com/OpenFreeEnergy/openfe).\n", + "\n", + "To learn more about the project, our team and how you can get involved, please visit our [Homepage](https://openfree.energy/) or get in touch at OpenFreeEnergy@omsf.io." + ] + } + ], + "metadata": { + "accelerator": "GPU", + "colab": { + "gpuType": "T4", + "provenance": [] + }, + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + 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0.048751282051282055 0.096751282051282056 +0.025151282051282055 0.18205128205128204 -0.059848717948717947 0.15705128205128205 + +$$$$ diff --git a/showcase/usrse_showcase.ipynb b/showcase/usrse_showcase.ipynb index 7d14eae..d73b83f 100644 --- a/showcase/usrse_showcase.ipynb +++ b/showcase/usrse_showcase.ipynb @@ -5,8 +5,8 @@ "id": "cb0d308b-8f50-4ac9-a8a3-550d8a2e3feb", "metadata": {}, "source": [ - "\n", - "    \n", + "\n", + " \n", "\n", "# Open Free Energy: An Open Source Ecosystem for Calculating Free Energies" ] @@ -21,14 +21,16 @@ "\n", "The OpenFE ecosystem is an open-source framework for calculating alchemical free energies.\n", "\n", - "In this demo, we will demonstrate how you can use the **openfe** CLI or Python API to use physics-based simulations to predict the relative binding free energy (RBFE) of a ligand binding to a protein.\n", + "In this demo, we will demonstrate how you can use OpenFE to execute physics-based simulations and predict the relative binding free energy (RBFE) of a ligand binding to a protein.\n", "\n", "Specifically, we will be predicting which ligand from a set of candidates binds best to a target protein. We will be using TYK2 (Tyrosine kinase 2) as our target protein, which can be thought of as the \"Hello, World\" of free energy calculations.\n", "\n", "For convenience, a prepared (capped and protonated) PDB structure of the\n", "TYK2 protein is provided under `inputs/tyk2_protein.pdb`:\n", - "\n", - "" + "
\n", + " \"TYK2\n", + " \n", + "
" ] }, { @@ -47,9 +49,9 @@ "\n", "Each stage is supported by the OpenFE software packages, but everything can be accessed from the base **openfe** package.\n", "\n", - "\n", + "\n", "\n", - "Note: 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). \n", + "**NOTE**: 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). \n", "Also, see our [tutorials](https://docs.openfree.energy/en/stable/tutorials/index.html) for step-by-step guides." ] }, @@ -80,17 +82,19 @@ "id": "AUgaKFN7eCt5", "metadata": { "id": "AUgaKFN7eCt5", + "jp-MarkdownHeadingCollapsed": true, "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. Quick Start`" + "If you are running this example in Google Colab, run the following cells to setup the environment.\\\n", + "If you are running this notebook locally, skip down to `1. Quick Start`" ] }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 1, "id": "-jX9udRGehD3", "metadata": { "colab": { @@ -106,6 +110,8 @@ "# NBVAL_SKIP\n", "# Only run this cell if on google colab\n", "import os\n", + "locale.getpreferredencoding = lambda: \"UTF-8\" # hack for google colab, not needed for local execution\n", + "\n", "if \"COLAB_RELEASE_TAG\" in os.environ:\n", " !pip install -q condacolab\n", " import condacolab\n", @@ -114,7 +120,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 2, "id": "dlCARZ2_fAI4", "metadata": { "colab": { @@ -145,16 +151,12 @@ " break" ] }, - { - "cell_type": "markdown", - "id": "31608e5a-cedf-4840-b809-a7df32b319ea", - "metadata": {}, - "source": [] - }, { "cell_type": "markdown", "id": "524015c7-6c42-4b84-98b9-361c17945fbe", - "metadata": {}, + "metadata": { + "jp-MarkdownHeadingCollapsed": true + }, "source": [ "# 1. Relative Binding Free Energies with the **openfe** CLI" ] @@ -164,19 +166,17 @@ "id": "11074a41-2827-48c5-9493-e0e4e2d94838", "metadata": {}, "source": [ - "You can run a basic RBFE campaign 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", + "First, we'll show how you can run a basic RBFE campaign with no Python at all!\n", "\n", - "1. ``openfe plan-rbfe-network``\n", + "The 3 stages described above each correspond to a CLI command:\n", "\n", - "2. ``openfe quickrun``\n", + "**1. setup**:``openfe plan-rbfe-network``\n", "\n", - "3. ``openfe gather``\n", + "**2. run** ``openfe quickrun``\n", "\n", - "All you need is your target protein in `.pdb` format, and your candidate ligands in `.sdf` format.\n", + "**3. gather** ``openfe gather``\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)." + "All you need is your target protein in `.pdb` format, and your candidate ligands in `.sdf` format." ] }, { @@ -186,84 +186,333 @@ "source": [ "## 1.1 Setup\n", "\n", - "The setup step can 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", + "The `openfe plan-rbfe-network` command plans a relative binding free energy network and saves it as a series of JSON files for the `openfe quickrun` command to process.\n", "\n", - "This command plans a relative binding free energy network and saves it as JSON files for the `openfe quickrun` command.\n", - "\n", - "By default, this tool makes the following choices:\n", - "\n", - "* Atom mappings performed by LOMAP, with settings `max3d=1.0` and\n", - " `element_change=False`\n", - "* Minimal spanning network as the network planner, with LOMAP default score as the weight function\n", - "* Water as solvent, with NaCl counter ions at 0.15 M concentration.\n", - "* Protocol is the OpenMM-based relative hybrid topology protocol, with default settings.\n", + "Since the CLI tool is a wrapper intended for the simplest cases, it chooses pratical defaults so that you don't have to define them. \n", + "\n", "\n", "These choices can be customized by creating a settings yaml file, which is\n", "passed in via the ``-s settings.yaml`` option. For more details, please visit our user guide section about [Customising CLI planning with yaml settings](https://docs.openfree.energy/en/latest/guide/cli/cli_yaml.html)" ] }, + { + "cell_type": "code", + "execution_count": 3, + "id": "adab478b-ec1a-4c9c-a110-3d1ba5bfa7c6", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "RBFE-NETWORK PLANNER\n", + "______________________\n", + "\n", + "Parsing in Files: \n", + "\tGot input: \n", + "\t\tSmall Molecules: SmallMoleculeComponent(name=lig_ejm_31) SmallMoleculeComponent(name=lig_ejm_42) SmallMoleculeComponent(name=lig_ejm_46) SmallMoleculeComponent(name=lig_ejm_43) SmallMoleculeComponent(name=lig_ejm_47) SmallMoleculeComponent(name=lig_ejm_50) SmallMoleculeComponent(name=lig_jmc_23) SmallMoleculeComponent(name=lig_ejm_48) SmallMoleculeComponent(name=lig_jmc_27) SmallMoleculeComponent(name=lig_jmc_28)\n", + "\t\tProtein: ProteinComponent(name=)\n", + "\t\tCofactors: []\n", + "\t\tSolvent: SolventComponent(name=O, Na+, Cl-)\n", + "\n", + "Using Options:\n", + "\tMapper: \n", + "\tMapping Scorer: \n", + "\tNetwork Generation: \n", + "\tPartial Charge Generation: am1bcc\n", + "\n", + "\tn_protocol_repeats=3 (3 simulation repeat(s) per transformation)\n", + "\n", + "Planning RBFE-Campaign:\n", + "assigning ligand partial charges -- this may be slow\n", + "Generating charges: 100%|██████████████████████| 10/10 [00:00<00:00, 344.16it/s]\n", + "\tDone\n", + "\n", + "Output:\n", + "\tSaving to: /Users/atravitz/software/OpenFE_ExampleNotebooks/showcase/tyk2_campaign\n", + "\t\t- tyk2_campaign.json\n", + "\t\t- ligand_network.graphml\n", + "\t\t\t\t- rbfe_lig_jmc_23_solvent_lig_jmc_28_solvent.json\n", + "\t\t\t\t- rbfe_lig_jmc_27_solvent_lig_jmc_28_solvent.json\n", + "\t\t\t\t- rbfe_lig_ejm_31_complex_lig_ejm_46_complex.json\n", + "\t\t\t\t- rbfe_lig_ejm_31_complex_lig_ejm_47_complex.json\n", + "\t\t\t\t- rbfe_lig_jmc_23_complex_lig_jmc_28_complex.json\n", + "\t\t\t\t- rbfe_lig_ejm_31_solvent_lig_ejm_47_solvent.json\n", + "\t\t\t\t- rbfe_lig_ejm_42_solvent_lig_ejm_43_solvent.json\n", + "\t\t\t\t- rbfe_lig_ejm_42_complex_lig_ejm_43_complex.json\n", + "\t\t\t\t- rbfe_lig_ejm_31_complex_lig_ejm_48_complex.json\n", + "\t\t\t\t- rbfe_lig_ejm_42_solvent_lig_ejm_50_solvent.json\n", + "\t\t\t\t- rbfe_lig_ejm_46_solvent_lig_jmc_28_solvent.json\n", + "\t\t\t\t- rbfe_lig_ejm_31_solvent_lig_ejm_50_solvent.json\n", + "\t\t\t\t- rbfe_lig_ejm_31_complex_lig_ejm_50_complex.json\n", + "\t\t\t\t- rbfe_lig_ejm_31_solvent_lig_ejm_46_solvent.json\n", + "\t\t\t\t- rbfe_lig_jmc_27_complex_lig_jmc_28_complex.json\n", + "\t\t\t\t- rbfe_lig_ejm_46_complex_lig_jmc_28_complex.json\n", + "\t\t\t\t- rbfe_lig_ejm_31_solvent_lig_ejm_48_solvent.json\n", + "\t\t\t\t- rbfe_lig_ejm_42_complex_lig_ejm_50_complex.json\n", + "\tDuration: 0:00:04.448693\n", + "\n" + ] + } + ], + "source": [ + "# note, we use ligands with charges already assigned to speed up this step, but this is optional\n", + "! openfe plan-rbfe-network -M inputs/tyk2_ligands_charged.sdf -p inputs/tyk2_protein.pdb -o tyk2_campaign" + ] + }, + { + "cell_type": "markdown", + "id": "5846fc42-a9db-4e3c-ae43-44a1b46ffb7c", + "metadata": {}, + "source": [ + "### visualizing the network\n", + "\n", + "We can visualize the network using the `openfe view-ligand-network` command:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "b2a267ce-af88-4d2f-85fa-86ee555d7acd", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ligand_network.graphml \u001b[1m\u001b[36mtransformations\u001b[m\u001b[m tyk2_campaign.json\n" + ] + } + ], + "source": [ + "! ls tyk2_campaign/" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "6301d1b8-f7f1-4812-bf45-84311757fe81", + "metadata": {}, + "outputs": [], + "source": [ + "!openfe view-ligand-network tyk2_campaign/ligand_network.graphml" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "b399caea-2753-49f7-aa5c-94288859bbf1", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "rbfe_lig_ejm_31_complex_lig_ejm_46_complex.json\n", + "rbfe_lig_ejm_31_complex_lig_ejm_47_complex.json\n", + "rbfe_lig_ejm_31_complex_lig_ejm_48_complex.json\n", + "rbfe_lig_ejm_31_complex_lig_ejm_50_complex.json\n", + "rbfe_lig_ejm_31_solvent_lig_ejm_46_solvent.json\n", + "rbfe_lig_ejm_31_solvent_lig_ejm_47_solvent.json\n", + "rbfe_lig_ejm_31_solvent_lig_ejm_48_solvent.json\n", + "rbfe_lig_ejm_31_solvent_lig_ejm_50_solvent.json\n", + "rbfe_lig_ejm_42_complex_lig_ejm_43_complex.json\n", + "rbfe_lig_ejm_42_complex_lig_ejm_50_complex.json\n", + "rbfe_lig_ejm_42_solvent_lig_ejm_43_solvent.json\n", + "rbfe_lig_ejm_42_solvent_lig_ejm_50_solvent.json\n", + "rbfe_lig_ejm_46_complex_lig_jmc_28_complex.json\n", + "rbfe_lig_ejm_46_solvent_lig_jmc_28_solvent.json\n", + "rbfe_lig_jmc_23_complex_lig_jmc_28_complex.json\n", + "rbfe_lig_jmc_23_solvent_lig_jmc_28_solvent.json\n", + "rbfe_lig_jmc_27_complex_lig_jmc_28_complex.json\n", + "rbfe_lig_jmc_27_solvent_lig_jmc_28_solvent.json\n" + ] + } + ], + "source": [ + "! ls tyk2_campaign/transformations/" + ] + }, { "cell_type": "markdown", "id": "26fef157-6989-406d-b719-0ed597ef820e", "metadata": {}, "source": [ - "## 1.2. Execution\n", + "## 1.2 Run\n", "\n", "You can run each leg individually by using the `openfe quickrun` command. It takes a transformation JSON as input, and the flags `-o` to give the final output JSON file and `-d` for the directory where simulation results should be stored. For example,\n", "\n", - "`openfe quickrun tyk2_json/lig_ejm_31_lig_ejm_47_complex.json -o results_complex.json -d working-directory`\n", - "\n", - "`openfe quickrun tyk2_json/lig_ejm_31_lig_ejm_47_solvent.json -o results_solvent.json -d working-directory`\n", - "\n", - "## 5.3. Analysis\n", - "\n", - "To gather the \n", - " estimates into a single file, use the `openfe gather` command from within the working directory used above:\n", - "\n", - "`openfe gather results/ --report dg -o final_results.tsv`\n", - "\n", - "This will write out a tab-separated table of results, where the results reported are controlled by the `--report` option:\n", - "\n", - "* `dg` (default) reports the ligand and the results are the maximum likelihood estimate of its absolute free, and the associated uncertainty from DDG replica averages and standard deviations.\n", - "\n", - "* `ddg` reports pairs of ligand_i and ligand_j, the calculated relative free energy DDG(i->j) = DG(j) - DG(i) and its uncertainty.\n", - "\n", - "* `raw` reports the raw results, giving the leg (vacuum, solvent, or complex), ligand_i, ligand_j, the raw DG(i->j) associated with it." + "```bash\n", + "openfe quickrun tyk2_json/lig_ejm_31_lig_ejm_47_complex.json -o results_complex.json -d working-directory\n", + "openfe quickrun tyk2_json/lig_ejm_31_lig_ejm_47_solvent.json -o results_solvent.json -d working-directory\n", + "```" ] }, { "cell_type": "code", - "execution_count": 8, - "id": "711d73bc-519f-4b81-9daf-c7594c7bbf8f", + "execution_count": 7, + "id": "57967b12-ac89-402a-9387-b016bf9e3c5e", "metadata": {}, "outputs": [ { - "data": { - "image/png": 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", - "text/plain": [ - "" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" + "name": "stdout", + "output_type": "stream", + "text": [ + "Fetching /Users/atravitz/micromamba/envs/openfe_conda/lib/python3.13/site-packages/openfecli/tests/data/rbfe_results.tar.gz\n" + ] } ], "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", + "!openfe fetch rbfe-tutorial-results\n", + "!tar xzf rbfe_results.tar.gz" + ] + }, + { + "cell_type": "markdown", + "id": "2c2cd9c7-123c-4568-849c-084f1838d147", + "metadata": {}, + "source": [ + "## 1.3 Gather\n", "\n", - "Chem.Draw.MolsToGridImage(ligands_rdmol, molsPerRow=5)" + "`openfe gather`" + ] + }, + { + "cell_type": "markdown", + "id": "84120c93-71a8-41c1-956d-893d6feb807c", + "metadata": {}, + "source": [ + "First we will download some TYK2 transformations we already ran. These results are from an entire TYK2 network and not a single edge. " + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "059068d3-d9e2-4923-80ca-c2989a559d1f", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Fetching /Users/atravitz/micromamba/envs/openfe_conda/lib/python3.13/site-packages/openfecli/tests/data/rbfe_results.tar.gz\n" + ] + } + ], + "source": [ + "# Results from our cli tutorial\n", + "!openfe fetch rbfe-tutorial-results\n", + "# Extract results\n", + "!tar -xf rbfe_results.tar.gz" + ] + }, + { + "cell_type": "markdown", + "id": "87f7d89b-4a99-4f3b-bf10-411591730922", + "metadata": {}, + "source": [ + "Now we can use the `openfe gather` command to look at the results (see section 5.3 for more details)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "ab9f2cca-8458-4515-a64a-20370151e1a5", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "writing dg output to 'final_results.tsv'\n", + "ligand\tDG(MLE) (kcal/mol)\tuncertainty (kcal/mol)\n", + "lig_ejm_31\t-0.09\t0.05\n", + "lig_ejm_42\t0.7\t0.1\n", + "lig_ejm_46\t-0.98\t0.05\n", + "lig_ejm_47\t-0.1\t0.1\n", + "lig_ejm_48\t0.53\t0.09\n", + "lig_ejm_50\t0.91\t0.06\n", + "lig_ejm_43\t2.0\t0.2\n", + "lig_jmc_23\t-0.68\t0.09\n", + "lig_jmc_27\t-1.1\t0.1\n", + "lig_jmc_28\t-1.25\t0.08\n" + ] + } + ], + "source": [ + "!openfe gather results/ --report dg -o final_results.tsv\n", + "!cat final_results.tsv" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "b117bae2-6a68-4e67-8971-e44f4f862d10", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "┌────────────┬────────────────────┬────────────────────────┐\n", + "│\u001b[1m \u001b[0m\u001b[1mligand \u001b[0m\u001b[1m \u001b[0m│\u001b[1m \u001b[0m\u001b[1mDG(MLE) (kcal/mol)\u001b[0m\u001b[1m \u001b[0m│\u001b[1m \u001b[0m\u001b[1muncertainty (kcal/mol)\u001b[0m\u001b[1m \u001b[0m│\n", + "├────────────┼────────────────────┼────────────────────────┤\n", + "│ lig_ejm_31 │ -0.09 │ 0.05 │\n", + "│ lig_ejm_42 │ 0.7 │ 0.1 │\n", + "│ lig_ejm_46 │ -0.98 │ 0.05 │\n", + "│ lig_ejm_47 │ -0.1 │ 0.1 │\n", + "│ lig_ejm_48 │ 0.53 │ 0.09 │\n", + "│ lig_ejm_50 │ 0.91 │ 0.06 │\n", + "│ lig_ejm_43 │ 2.0 │ 0.2 │\n", + "│ lig_jmc_23 │ -0.68 │ 0.09 │\n", + "│ lig_jmc_27 │ -1.1 │ 0.1 │\n", + "│ lig_jmc_28 │ -1.25 │ 0.08 │\n", + "└────────────┴────────────────────┴────────────────────────┘\n" + ] + } + ], + "source": [ + "!openfe gather results/ --report dg" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "bfe1d4c9-9e7c-4a54-839a-4c8aa93b22ac", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "┌────────────┬────────────┬──────────────────────┬────────────────────────┐\n", + "│\u001b[1m \u001b[0m\u001b[1mligand_i \u001b[0m\u001b[1m \u001b[0m│\u001b[1m \u001b[0m\u001b[1mligand_j \u001b[0m\u001b[1m \u001b[0m│\u001b[1m \u001b[0m\u001b[1mDDG(i->j) (kcal/mol)\u001b[0m\u001b[1m \u001b[0m│\u001b[1m \u001b[0m\u001b[1muncertainty (kcal/mol)\u001b[0m\u001b[1m \u001b[0m│\n", + "├────────────┼────────────┼──────────────────────┼────────────────────────┤\n", + "│ lig_ejm_31 │ lig_ejm_42 │ 0.8 │ 0.1 │\n", + "│ lig_ejm_31 │ lig_ejm_46 │ -0.89 │ 0.06 │\n", + "│ lig_ejm_31 │ lig_ejm_47 │ 0.0 │ 0.1 │\n", + "│ lig_ejm_31 │ lig_ejm_48 │ 0.61 │ 0.09 │\n", + "│ lig_ejm_31 │ lig_ejm_50 │ 1.00 │ 0.04 │\n", + "│ lig_ejm_42 │ lig_ejm_43 │ 1.4 │ 0.2 │\n", + "│ lig_ejm_46 │ lig_jmc_23 │ 0.29 │ 0.09 │\n", + "│ lig_ejm_46 │ lig_jmc_27 │ -0.1 │ 0.1 │\n", + "│ lig_ejm_46 │ lig_jmc_28 │ -0.27 │ 0.06 │\n", + "└────────────┴────────────┴──────────────────────┴────────────────────────┘\n" + ] + } + ], + "source": [ + "!openfe gather results/ --report ddg" + ] + }, + { + "cell_type": "markdown", + "id": "14ade1f0", + "metadata": { + "id": "14ade1f0" + }, + "source": [ + "# 2. Now Let's Do It Again - In Python!" ] }, { @@ -273,7 +522,6 @@ "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", @@ -293,44 +541,30 @@ }, { "cell_type": "markdown", - "id": "e9a7f137", - "metadata": { - "id": "e9a7f137" - }, + "id": "5962dec2-d9ef-475d-8086-ee15954e81f6", + "metadata": {}, "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." + "## 2.1: Setup\n" ] }, { "cell_type": "markdown", - "id": "14ade1f0", + "id": "4b57734f-dde7-4e5c-a61c-f3e9d275c5de", "metadata": { - "id": "14ade1f0" + "jp-MarkdownHeadingCollapsed": true }, "source": [ - "# 2. Setup" - ] - }, - { - "cell_type": "markdown", - "id": "5962dec2-d9ef-475d-8086-ee15954e81f6", - "metadata": {}, - "source": [ - "## 2.1. Loading Ligands and Defining Ligand Atom Mappings" + "### 2.1.1: Loading Ligands and Defining Ligand Atom Mappings" ] }, { "cell_type": "markdown", - "id": "f734578f", + "id": "2f7e5f37-3efb-4aa7-b893-eb1411b65082", "metadata": { - "id": "f734578f" + "jp-MarkdownHeadingCollapsed": true }, "source": [ - "### Creating OpenFE SmallMoleculeComponents\n", + "#### 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", @@ -357,7 +591,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "id": "4096ce97", "metadata": { "id": "4096ce97" @@ -385,7 +619,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "id": "b5e5b538-4847-42f5-b29e-6e1f25bbbeed", "metadata": {}, "outputs": [], @@ -414,7 +648,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "faacbebb", "metadata": { "colab": { @@ -423,15 +657,7 @@ "id": "faacbebb", "outputId": "bc0ad1d9-72ad-49d0-e322-61b2a87d5301" }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "name: lig_ejm_31\n" - ] - } - ], + "outputs": [], "source": [ "print(\"name: \", ligand_mols[0].name)" ] @@ -448,7 +674,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "29b7c68a", "metadata": { "colab": { @@ -457,18 +683,7 @@ "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" - } - ], + "outputs": [], "source": [ "type(ligand_mols[0].to_openff())" ] @@ -476,9 +691,11 @@ { "cell_type": "markdown", "id": "9e72bee2-bcb3-466f-86e7-8b51c8932aa7", - "metadata": {}, + "metadata": { + "jp-MarkdownHeadingCollapsed": true + }, "source": [ - "### Ligand Atom Mapping" + "### 2.1.2: Ligand Atom Mapping" ] }, { @@ -507,7 +724,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "id": "01384f2a-99ce-400d-a988-82fd393c4ee5", "metadata": {}, "outputs": [], @@ -529,21 +746,10 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "id": "00fb84d6-9fa7-4114-96e5-c656ad6f3a3f", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# We can display the atom mapping in 2D by calling it\n", "lomap_mapping" @@ -586,31 +792,10 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "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" - ] - } - ], + "outputs": [], "source": [ "from kartograf import KartografAtomMapper\n", "# Build Kartograf Atom Mapper\n", @@ -622,21 +807,10 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": null, "id": "56117a03-6503-4317-9364-27e343a4911e", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# We can display the atom mapping in 2D by calling it\n", "kartograf_mapping" @@ -649,7 +823,14 @@ "id": "de4592a7" }, "source": [ - "## 2.2. Creating a ligand network\n", + "### 2.1.3: Creating a ligand network" + ] + }, + { + "cell_type": "markdown", + "id": "58bede1f-853e-455b-b1f3-b8c9cfca2346", + "metadata": {}, + "source": [ "\n", "A `LigandNetwork` is a set of `SmallMoleculeComponent`s that are connected by `AtomMapping`s of two small molecules. \n", "\n", @@ -675,37 +856,14 @@ }, "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" + "ename": "NameError", + "evalue": "name 'ligand_mols' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[31m---------------------------------------------------------------------------\u001b[39m", + "\u001b[31mNameError\u001b[39m Traceback (most recent call last)", + "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[13]\u001b[39m\u001b[32m, line 10\u001b[39m\n\u001b[32m 6\u001b[39m \u001b[38;5;28;01mfrom\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01mopenfe\u001b[39;00m\u001b[34;01m.\u001b[39;00m\u001b[34;01msetup\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;28;01mimport\u001b[39;00m LomapAtomMapper\n\u001b[32m 8\u001b[39m \u001b[38;5;66;03m# Create an MST network\u001b[39;00m\n\u001b[32m 9\u001b[39m mst_network = generate_minimal_spanning_network(\n\u001b[32m---> \u001b[39m\u001b[32m10\u001b[39m ligands=\u001b[43mligand_mols\u001b[49m,\n\u001b[32m 11\u001b[39m scorer=openfe.lomap_scorers.default_lomap_score,\n\u001b[32m 12\u001b[39m mappers=[LomapAtomMapper(),])\n\u001b[32m 14\u001b[39m \u001b[38;5;66;03m# Create a LOMAP network\u001b[39;00m\n\u001b[32m 15\u001b[39m lomap_network = generate_lomap_network(\n\u001b[32m 16\u001b[39m molecules=ligand_mols,\n\u001b[32m 17\u001b[39m scorer=openfe.lomap_scorers.default_lomap_score,\n\u001b[32m 18\u001b[39m mappers=[LomapAtomMapper(),])\n", + "\u001b[31mNameError\u001b[39m: name 'ligand_mols' is not defined" ] } ], @@ -746,32 +904,10 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": null, "id": "f4e3ac10-236b-4ff4-a69e-600706288164", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Visualize the MST network\n", "from openfe.utils.atommapping_network_plotting import plot_atommapping_network\n", @@ -781,22 +917,10 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": null, "id": "3335c478-ce7c-41a4-b36f-2e4c79581050", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "# Visualize the LOMAP network\n", "from openfe.utils.atommapping_network_plotting import plot_atommapping_network\n", @@ -806,22 +930,10 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": null, "id": "e1c09036-efc7-4bc4-9851-ac16992bf041", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "execution_count": 16, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "# Visualize the radial network\n", "from openfe.utils.atommapping_network_plotting import plot_atommapping_network\n", @@ -829,6 +941,27 @@ "plot_atommapping_network(radial_network)" ] }, + { + "cell_type": "code", + "execution_count": null, + "id": "711d73bc-519f-4b81-9daf-c7594c7bbf8f", + "metadata": {}, + "outputs": [], + "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, molsPerRow=5)" + ] + }, { "cell_type": "markdown", "id": "2a280ffb-0a71-48ad-b4ec-9374f4460c80", @@ -841,20 +974,10 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": null, "id": "ad80c243-82d7-4599-a4a6-5d651c662f24", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "molecule A smiles: CCC(=O)Nc1cc(NC(=O)c2c(Cl)cccc2Cl)ccn1\n", - "molecule B smiles: CC(C)C(=O)Nc1cc(NC(=O)c2c(Cl)cccc2Cl)ccn1\n", - "map between molecule A and B: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7, 8: 8, 9: 9, 10: 10, 11: 11, 12: 12, 13: 13, 14: 14, 15: 15, 16: 16, 17: 17, 18: 18, 19: 19, 20: 20, 21: 21, 22: 22, 23: 23, 24: 24, 25: 30, 26: 25, 27: 26, 28: 29, 29: 27, 30: 28, 31: 34, 32: 35, 33: 36, 34: 37}\n" - ] - } - ], + "outputs": [], "source": [ "mst_edges = [edge for edge in mst_network.edges]\n", "\n", @@ -962,9 +1085,11 @@ { "cell_type": "markdown", "id": "feb4d54a-01a8-4bbe-ac13-1a15cdb79254", - "metadata": {}, + "metadata": { + "jp-MarkdownHeadingCollapsed": true + }, "source": [ - "## 2.3. Defining the Chemical Systems" + "### 2.1.4: Defining the Chemical Systems" ] }, { @@ -1103,9 +1228,11 @@ { "cell_type": "markdown", "id": "1702be9c-a30d-43dc-a291-fefab56a4433", - "metadata": {}, + "metadata": { + "jp-MarkdownHeadingCollapsed": true + }, "source": [ - "## 2.4. Defining the RBFE simulation settings and protocol" + "### 2.1.5 Defining the RBFE simulation settings and protocol" ] }, { @@ -1276,11 +1403,9 @@ { "cell_type": "markdown", "id": "075cad59-5b65-42cf-a900-1df5a2de67f1", - "metadata": { - "jp-MarkdownHeadingCollapsed": true - }, + "metadata": {}, "source": [ - "# 3. Running a Relative Ligand Binding Free Energy Calculation" + "## 2.2: Running a Relative Ligand Binding Free Energy Calculation" ] }, { @@ -1571,10 +1696,11 @@ "cell_type": "markdown", "id": "e07d1e29", "metadata": { - "id": "e07d1e29" + "id": "e07d1e29", + "jp-MarkdownHeadingCollapsed": true }, "source": [ - "# 4. Analysis" + "## 2.3: Gather (and other analysis)" ] }, { @@ -1587,7 +1713,7 @@ "Finally now that we've \"run\" our simulations, let's go ahead and gather the free energies for both phases. \n", "First we will take a look at the way to do this using our python api, then we will show how to use our `openfe gather` command on pre-computed results.\n", "\n", - "## 4.1 Analysis - Python API\n", + "### 2.3.1 Analysis - Python API\n", "\n", "We can use the python API to gather the free energies for both phases by passing the results of executing the DAGs and calling the `gather()` methods of `RelativeLigandTransform`.\n", "This takes a **list** of completed DAG results, catering for when simulations have been extended." @@ -1632,81 +1758,12 @@ "```" ] }, - { - "cell_type": "markdown", - "id": "d53f72e1-ebec-4cad-8054-1746e1e79074", - "metadata": {}, - "source": [ - "## 4.2 Analysis - `openfe gather`\n", - "\n", - "First we will download some TYK2 transformations we already ran. These results are from an entire TYK2 network and not a single edge. " - ] - }, - { - "cell_type": "code", - "execution_count": 31, - "id": "059068d3-d9e2-4923-80ca-c2989a559d1f", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Fetching /Users/users_name/miniforge3/envs/openfe_env/lib/python3.12/site-packages/openfecli/tests/data/rbfe_results.tar.gz\n" - ] - } - ], - "source": [ - "# Results from our cli tutorial\n", - "locale.getpreferredencoding = lambda: \"UTF-8\" # hack for google colab, not needed for local execution\n", - "!openfe fetch rbfe-tutorial-results\n", - "# Extract results\n", - "!tar -xf rbfe_results.tar.gz" - ] - }, - { - "cell_type": "markdown", - "id": "9fe99e84-1857-47a5-adea-bf0983e8a750", - "metadata": {}, - "source": [ - "Now we can use the `openfe gather` command to look at the results (see section 5.3 for more details)" - ] - }, - { - "cell_type": "code", - "execution_count": 32, - "id": "ab9f2cca-8458-4515-a64a-20370151e1a5", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "ligand\tDG(MLE) (kcal/mol)\tuncertainty (kcal/mol)\n", - "lig_ejm_31\t-0.09\t0.05\n", - "lig_ejm_42\t0.7\t0.1\n", - "lig_ejm_46\t-0.98\t0.05\n", - "lig_ejm_47\t-0.1\t0.1\n", - "lig_ejm_48\t0.53\t0.09\n", - "lig_ejm_50\t0.91\t0.06\n", - "lig_ejm_43\t2.0\t0.2\n", - "lig_jmc_23\t-0.68\t0.09\n", - "lig_jmc_27\t-1.1\t0.1\n", - "lig_jmc_28\t-1.25\t0.08\n" - ] - } - ], - "source": [ - "!openfe gather results/ --report dg -o final_results.tsv\n", - "!cat final_results.tsv" - ] - }, { "cell_type": "markdown", "id": "c3a26c6b-c958-4607-a191-f84c626d2db1", "metadata": {}, "source": [ - "# 6. Useful References for Exploring OpenFE Further" + "# 3. Useful References for Exploring OpenFE Further" ] }, { From 8b0233bd4a87bbd362a1ec39b20e049ef73f3459 Mon Sep 17 00:00:00 2001 From: Alyssa Travitz Date: Wed, 17 Sep 2025 17:32:37 -0700 Subject: [PATCH 4/5] cleaning up notebook toward 15 mins --- rbfe_tutorial/rbfe_thermocycle.png | Bin 0 -> 134741 bytes showcase/images/rbfe_thermocycle.png | 1 + showcase/usrse_showcase.ipynb | 919 +++++++++++++++++---------- 3 files changed, 575 insertions(+), 345 deletions(-) create mode 100644 rbfe_tutorial/rbfe_thermocycle.png create mode 120000 showcase/images/rbfe_thermocycle.png diff --git a/rbfe_tutorial/rbfe_thermocycle.png b/rbfe_tutorial/rbfe_thermocycle.png new file mode 100644 index 0000000000000000000000000000000000000000..4c518d20fce1d5ae21df54518dcbc2e841351776 GIT binary patch literal 134741 zcmeFZg;yNQ7e5HYAcJdg7%V_YaA$D$L4qU%CwOoed~ir0XcAn4y99R$t|7Qio@u(es;lm;y7zOXCIYG^kAq2piG+lNqo^RGiG&1%A|as|W1u1K zV7*GEMM6SWu$GpFDoRU(q0SC(t?ew3kXT~PjExBupR@Ftm>3)P4YRRgI(uk_hev7} 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+../../rbfe_tutorial/rbfe_thermocycle.png \ No newline at end of file diff --git a/showcase/usrse_showcase.ipynb b/showcase/usrse_showcase.ipynb index d73b83f..006f4ff 100644 --- a/showcase/usrse_showcase.ipynb +++ b/showcase/usrse_showcase.ipynb @@ -21,7 +21,7 @@ "\n", "The OpenFE ecosystem is an open-source framework for calculating alchemical free energies.\n", "\n", - "In this demo, we will demonstrate how you can use OpenFE to execute physics-based simulations and predict the relative binding free energy (RBFE) of a ligand binding to a protein.\n", + "In this demo, we will demonstrate how you can use either the CLI or Python API to execute physics-based simulations and predict the relative binding free energy (RBFE) of a ligand binding to a protein.\n", "\n", "Specifically, we will be predicting which ligand from a set of candidates binds best to a target protein. We will be using TYK2 (Tyrosine kinase 2) as our target protein, which can be thought of as the \"Hello, World\" of free energy calculations.\n", "\n", @@ -44,15 +44,16 @@ "RBFE calculations can be thought of as 3 distinct steps:\n", "\n", " 1. **Setup**: construct a graph relating the ligands\n", - " 2. **Run**: execute a simulation using OpenMM\n", + " 2. **Run**: execute a physics-based simulation\n", " 3. **Gather**: compute meaningful metrics from the simulation data\n", "\n", "Each stage is supported by the OpenFE software packages, but everything can be accessed from the base **openfe** package.\n", "\n", - "\n", + "\n", "\n", - "**NOTE**: 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). \n", - "Also, see our [tutorials](https://docs.openfree.energy/en/stable/tutorials/index.html) for step-by-step guides." + "**NOTE**: OpenFE's RBFE protocol uses [OpenMM](https://openmm.org/) as the physics based simulation engine.\n", + "" ] }, { @@ -94,7 +95,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 3, "id": "-jX9udRGehD3", "metadata": { "colab": { @@ -110,6 +111,7 @@ "# NBVAL_SKIP\n", "# Only run this cell if on google colab\n", "import os\n", + "import locale\n", "locale.getpreferredencoding = lambda: \"UTF-8\" # hack for google colab, not needed for local execution\n", "\n", "if \"COLAB_RELEASE_TAG\" in os.environ:\n", @@ -192,7 +194,7 @@ "\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)" + "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)" ] }, { @@ -267,7 +269,7 @@ "source": [ "### visualizing the network\n", "\n", - "We can visualize the network using the `openfe view-ligand-network` command:" + "We can visualize the network stored in `ligand_network.graphml` using the `openfe view-ligand-network` command:" ] }, { @@ -348,47 +350,18 @@ "```" ] }, - { - "cell_type": "code", - "execution_count": 7, - "id": "57967b12-ac89-402a-9387-b016bf9e3c5e", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Fetching /Users/atravitz/micromamba/envs/openfe_conda/lib/python3.13/site-packages/openfecli/tests/data/rbfe_results.tar.gz\n" - ] - } - ], - "source": [ - "!openfe fetch rbfe-tutorial-results\n", - "!tar xzf rbfe_results.tar.gz" - ] - }, - { - "cell_type": "markdown", - "id": "2c2cd9c7-123c-4568-849c-084f1838d147", - "metadata": {}, - "source": [ - "## 1.3 Gather\n", - "\n", - "`openfe gather`" - ] - }, { "cell_type": "markdown", - "id": "84120c93-71a8-41c1-956d-893d6feb807c", + "id": "5f59eb75-25db-440c-9f2f-d5466376e635", "metadata": {}, "source": [ - "First we will download some TYK2 transformations we already ran. These results are from an entire TYK2 network and not a single edge. " + "Molecular simulation is time-intensive, so instead of running on high-performance compute, you can copy down example results to explore the next step:" ] }, { "cell_type": "code", - "execution_count": 9, - "id": "059068d3-d9e2-4923-80ca-c2989a559d1f", + "execution_count": 7, + "id": "57967b12-ac89-402a-9387-b016bf9e3c5e", "metadata": {}, "outputs": [ { @@ -408,45 +381,95 @@ }, { "cell_type": "markdown", - "id": "87f7d89b-4a99-4f3b-bf10-411591730922", + "id": "2c2cd9c7-123c-4568-849c-084f1838d147", "metadata": {}, "source": [ - "Now we can use the `openfe gather` command to look at the results (see section 5.3 for more details)" + "## 1.3 Gather\n", + "\n", + "Once the simulations are complete, you can use `openfe gather` to calculate the $\\Delta G$ values for each ligand:" ] }, { "cell_type": "code", - "execution_count": 10, - "id": "ab9f2cca-8458-4515-a64a-20370151e1a5", - "metadata": {}, + "execution_count": 8, + "id": "888eb307-1dc7-472e-afde-b6061f3e9aad", + "metadata": { + "scrolled": true + }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "writing dg output to 'final_results.tsv'\n", - "ligand\tDG(MLE) (kcal/mol)\tuncertainty (kcal/mol)\n", - "lig_ejm_31\t-0.09\t0.05\n", - "lig_ejm_42\t0.7\t0.1\n", - "lig_ejm_46\t-0.98\t0.05\n", - "lig_ejm_47\t-0.1\t0.1\n", - "lig_ejm_48\t0.53\t0.09\n", - "lig_ejm_50\t0.91\t0.06\n", - "lig_ejm_43\t2.0\t0.2\n", - "lig_jmc_23\t-0.68\t0.09\n", - "lig_jmc_27\t-1.1\t0.1\n", - "lig_jmc_28\t-1.25\t0.08\n" + "┌─────────┬────────────┬────────────┬─────────────────────┬────────────────────┐\n", + "│\u001b[1m \u001b[0m│\u001b[1m \u001b[0m│\u001b[1m \u001b[0m│\u001b[1m \u001b[0m│\u001b[1m \u001b[0m\u001b[1mMBAR uncertainty \u001b[0m\u001b[1m \u001b[0m│\n", + "│\u001b[1m \u001b[0m\u001b[1mleg \u001b[0m\u001b[1m \u001b[0m│\u001b[1m \u001b[0m\u001b[1mligand_i \u001b[0m\u001b[1m \u001b[0m│\u001b[1m \u001b[0m\u001b[1mligand_j \u001b[0m\u001b[1m \u001b[0m│\u001b[1m \u001b[0m\u001b[1mDG(i->j) (kcal/mol)\u001b[0m\u001b[1m \u001b[0m│\u001b[1m \u001b[0m\u001b[1m(kcal/mol) \u001b[0m\u001b[1m \u001b[0m│\n", + "├─────────┼────────────┼────────────┼─────────────────────┼────────────────────┤\n", + "│ complex │ lig_ejm_31 │ lig_ejm_42 │ -14.8 │ 0.8 │\n", + "│ complex │ lig_ejm_31 │ lig_ejm_42 │ -14.9 │ 0.8 │\n", + "│ complex │ lig_ejm_31 │ lig_ejm_42 │ -15.1 │ 0.8 │\n", + "│ solvent │ lig_ejm_31 │ lig_ejm_42 │ -15.7 │ 0.8 │\n", + "│ solvent │ lig_ejm_31 │ lig_ejm_42 │ -15.7 │ 0.8 │\n", + "│ solvent │ lig_ejm_31 │ lig_ejm_42 │ -15.7 │ 0.8 │\n", + "│ complex │ lig_ejm_31 │ lig_ejm_46 │ -40.7 │ 0.8 │\n", + "│ complex │ lig_ejm_31 │ lig_ejm_46 │ -40.7 │ 0.8 │\n", + "│ complex │ lig_ejm_31 │ lig_ejm_46 │ -40.8 │ 0.8 │\n", + "│ solvent │ lig_ejm_31 │ lig_ejm_46 │ -39.8 │ 0.8 │\n", + "│ solvent │ lig_ejm_31 │ lig_ejm_46 │ -39.9 │ 0.8 │\n", + "│ solvent │ lig_ejm_31 │ lig_ejm_46 │ -39.8 │ 0.8 │\n", + "│ complex │ lig_ejm_31 │ lig_ejm_47 │ -27.7 │ 0.8 │\n", + "│ complex │ lig_ejm_31 │ lig_ejm_47 │ -27.8 │ 0.8 │\n", + "│ complex │ lig_ejm_31 │ lig_ejm_47 │ -28.0 │ 0.8 │\n", + "│ solvent │ lig_ejm_31 │ lig_ejm_47 │ -27.8 │ 0.8 │\n", + "│ solvent │ lig_ejm_31 │ lig_ejm_47 │ -27.8 │ 0.8 │\n", + "│ solvent │ lig_ejm_31 │ lig_ejm_47 │ -27.9 │ 0.8 │\n", + "│ complex │ lig_ejm_31 │ lig_ejm_48 │ -16.2 │ 0.8 │\n", + "│ complex │ lig_ejm_31 │ lig_ejm_48 │ -16.0 │ 0.8 │\n", + "│ complex │ lig_ejm_31 │ lig_ejm_48 │ -16.2 │ 0.8 │\n", + "│ solvent │ lig_ejm_31 │ lig_ejm_48 │ -16.8 │ 0.8 │\n", + "│ solvent │ lig_ejm_31 │ lig_ejm_48 │ -16.8 │ 0.8 │\n", + "│ solvent │ lig_ejm_31 │ lig_ejm_48 │ -16.7 │ 0.8 │\n", + "│ complex │ lig_ejm_31 │ lig_ejm_50 │ -57.3 │ 0.8 │\n", + "│ complex │ lig_ejm_31 │ lig_ejm_50 │ -57.4 │ 0.8 │\n", + "│ complex │ lig_ejm_31 │ lig_ejm_50 │ -57.3 │ 0.8 │\n", + "│ solvent │ lig_ejm_31 │ lig_ejm_50 │ -58.3 │ 0.8 │\n", + "│ solvent │ lig_ejm_31 │ lig_ejm_50 │ -58.4 │ 0.8 │\n", + "│ solvent │ lig_ejm_31 │ lig_ejm_50 │ -58.3 │ 0.8 │\n", + "│ complex │ lig_ejm_42 │ lig_ejm_43 │ -18.7 │ 0.8 │\n", + "│ complex │ lig_ejm_42 │ lig_ejm_43 │ -19.0 │ 0.8 │\n", + "│ complex │ lig_ejm_42 │ lig_ejm_43 │ -19.0 │ 0.8 │\n", + "│ solvent │ lig_ejm_42 │ lig_ejm_43 │ -20.3 │ 0.8 │\n", + "│ solvent │ lig_ejm_42 │ lig_ejm_43 │ -20.3 │ 0.8 │\n", + "│ solvent │ lig_ejm_42 │ lig_ejm_43 │ -20.3 │ 0.8 │\n", + "│ complex │ lig_ejm_46 │ lig_jmc_23 │ 17.5 │ 0.8 │\n", + "│ complex │ lig_ejm_46 │ lig_jmc_23 │ 17.3 │ 0.8 │\n", + "│ complex │ lig_ejm_46 │ lig_jmc_23 │ 17.4 │ 0.8 │\n", + "│ solvent │ lig_ejm_46 │ lig_jmc_23 │ 17.1 │ 0.8 │\n", + "│ solvent │ lig_ejm_46 │ lig_jmc_23 │ 17.1 │ 0.8 │\n", + "│ solvent │ lig_ejm_46 │ lig_jmc_23 │ 17.2 │ 0.8 │\n", + "│ complex │ lig_ejm_46 │ lig_jmc_27 │ 15.7 │ 0.8 │\n", + "│ complex │ lig_ejm_46 │ lig_jmc_27 │ 15.8 │ 0.8 │\n", + "│ complex │ lig_ejm_46 │ lig_jmc_27 │ 15.9 │ 0.8 │\n", + "│ solvent │ lig_ejm_46 │ lig_jmc_27 │ 16.0 │ 0.8 │\n", + "│ solvent │ lig_ejm_46 │ lig_jmc_27 │ 15.9 │ 0.8 │\n", + "│ solvent │ lig_ejm_46 │ lig_jmc_27 │ 15.9 │ 0.8 │\n", + "│ complex │ lig_ejm_46 │ lig_jmc_28 │ 23.2 │ 0.8 │\n", + "│ complex │ lig_ejm_46 │ lig_jmc_28 │ 23.1 │ 0.8 │\n", + "│ complex │ lig_ejm_46 │ lig_jmc_28 │ 23.1 │ 0.8 │\n", + "│ solvent │ lig_ejm_46 │ lig_jmc_28 │ 23.4 │ 0.8 │\n", + "│ solvent │ lig_ejm_46 │ lig_jmc_28 │ 23.3 │ 0.8 │\n", + "│ solvent │ lig_ejm_46 │ lig_jmc_28 │ 23.5 │ 0.8 │\n", + "└─────────┴────────────┴────────────┴─────────────────────┴────────────────────┘\n" ] } ], "source": [ - "!openfe gather results/ --report dg -o final_results.tsv\n", - "!cat final_results.tsv" + "!openfe gather results/ --report raw" ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 5, "id": "b117bae2-6a68-4e67-8971-e44f4f862d10", "metadata": {}, "outputs": [ @@ -472,37 +495,7 @@ } ], "source": [ - "!openfe gather results/ --report dg" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "bfe1d4c9-9e7c-4a54-839a-4c8aa93b22ac", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "┌────────────┬────────────┬──────────────────────┬────────────────────────┐\n", - "│\u001b[1m \u001b[0m\u001b[1mligand_i \u001b[0m\u001b[1m \u001b[0m│\u001b[1m \u001b[0m\u001b[1mligand_j \u001b[0m\u001b[1m \u001b[0m│\u001b[1m \u001b[0m\u001b[1mDDG(i->j) (kcal/mol)\u001b[0m\u001b[1m \u001b[0m│\u001b[1m \u001b[0m\u001b[1muncertainty (kcal/mol)\u001b[0m\u001b[1m \u001b[0m│\n", - "├────────────┼────────────┼──────────────────────┼────────────────────────┤\n", - "│ lig_ejm_31 │ lig_ejm_42 │ 0.8 │ 0.1 │\n", - "│ lig_ejm_31 │ lig_ejm_46 │ -0.89 │ 0.06 │\n", - "│ lig_ejm_31 │ lig_ejm_47 │ 0.0 │ 0.1 │\n", - "│ lig_ejm_31 │ lig_ejm_48 │ 0.61 │ 0.09 │\n", - "│ lig_ejm_31 │ lig_ejm_50 │ 1.00 │ 0.04 │\n", - "│ lig_ejm_42 │ lig_ejm_43 │ 1.4 │ 0.2 │\n", - "│ lig_ejm_46 │ lig_jmc_23 │ 0.29 │ 0.09 │\n", - "│ lig_ejm_46 │ lig_jmc_27 │ -0.1 │ 0.1 │\n", - "│ lig_ejm_46 │ lig_jmc_28 │ -0.27 │ 0.06 │\n", - "└────────────┴────────────┴──────────────────────┴────────────────────────┘\n" - ] - } - ], - "source": [ - "!openfe gather results/ --report ddg" + "!openfe gather results/ " ] }, { @@ -560,22 +553,21 @@ { "cell_type": "markdown", "id": "2f7e5f37-3efb-4aa7-b893-eb1411b65082", - "metadata": { - "jp-MarkdownHeadingCollapsed": true - }, + "metadata": {}, "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", + "toolkit, OpenFE implements a set of [Components](https://gufe.openfree.energy/en/latest/concepts/included_models.html#component) which define the proteins,\n", + "small molecules, and solvent components of a chemical system.\n", + "\n", + "Here we use the [SmallMoleculeComponent](https://github.com/OpenFreeEnergy/gufe/blob/main/gufe/components/smallmoleculecomponent.py)\n", + "which can be defined from [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", + "In the backend, OpenFE uses 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", + "various toolchains (for example [OpenEye's OEMol](https://docs.eyesopen.com/toolkits/python/oechemtk/OEChemClasses/OEMol.html)).\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." @@ -591,16 +583,15 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "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", + "from rdkit import Chem\n", "\n", "# Load ligands using RDKit\n", "ligands_sdf = Chem.SDMolSupplier('inputs/tyk2_ligands.sdf', removeHs=False)\n", @@ -619,7 +610,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "id": "b5e5b538-4847-42f5-b29e-6e1f25bbbeed", "metadata": {}, "outputs": [], @@ -631,7 +622,7 @@ "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]" + "ligand_mols = [SmallMoleculeComponent.from_openff(sdf) for sdf in ligands_sdf]\n" ] }, { @@ -648,7 +639,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "id": "faacbebb", "metadata": { "colab": { @@ -657,7 +648,15 @@ "id": "faacbebb", "outputId": "bc0ad1d9-72ad-49d0-e322-61b2a87d5301" }, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "name: lig_ejm_31\n" + ] + } + ], "source": [ "print(\"name: \", ligand_mols[0].name)" ] @@ -669,12 +668,14 @@ "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:" + "As previously stated, `SmallMoleculeComponent`s also use the OpenFF backend to allow conversion between different object types.\n", + "\n", + "For example, it's possible to obtain an OpenFF representation of a Molecule:" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "id": "29b7c68a", "metadata": { "colab": { @@ -683,17 +684,28 @@ "id": "29b7c68a", "outputId": "39e7a77a-d2b8-49d2-8f70-fd8118845a99" }, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "(openff.toolkit.topology.molecule.Molecule,\n", + " Molecule with name 'lig_ejm_31' and SMILES '[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]',\n", + " SmallMoleculeComponent(name=lig_ejm_31))" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "type(ligand_mols[0].to_openff())" + "type(ligand_mols[0].to_openff()), ligand_mols[0].to_openff(), ligand_mols[0]" ] }, { "cell_type": "markdown", "id": "9e72bee2-bcb3-466f-86e7-8b51c8932aa7", - "metadata": { - "jp-MarkdownHeadingCollapsed": true - }, + "metadata": {}, "source": [ "### 2.1.2: Ligand Atom Mapping" ] @@ -703,15 +715,12 @@ "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", + "In the [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 S:\n", + "1. `LomapAtomMapper`: based on the maximum common substructure (MCS)\n", + "2. `KartografAtomMapper`: 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." + "While we use the defaults here, please note that any supported arguments of Lomap and Kartograf can be passed to the atom mapper." ] }, { @@ -719,12 +728,12 @@ "id": "1eec9783-4620-43ff-8ef7-a647fd6f54ac", "metadata": {}, "source": [ - "**1. `LomapAtomMapper`**" + "**1. `LomapAtomMapper`** " ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "id": "01384f2a-99ce-400d-a988-82fd393c4ee5", "metadata": {}, "outputs": [], @@ -746,10 +755,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "id": "00fb84d6-9fa7-4114-96e5-c656ad6f3a3f", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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7ceLEnTt3tra28sMuhE6nU6lUNpuNczD2e+DSpUu+vr7Dhw/X0dG5cuXK2bNnedIsnU5fv369lpYWg8H49ddfpaT+Z2P62uOuWDu1i8to7ZSEOJU/L6r7hiAV5AmGhobz5s3DUwUhnOiompraqFGjWlpaMjIy8HRASkpKQUFBQUFBXl4eT7sIHMBJCH///fexY8fC42nTpm3ZsiUwMFBXVzczM9Pc3NzR0ZFTXNF/cnJy7O3t58yZk56erqGh4efnl5WVZWtr6+jomJ+f7+zszGKxLl68OG7cuLCwMF4Z5YBhWFhYmJ6enoeHx8SJExMSepfT/6PT0NAgIyPDeVKoq6s3NTXBrYs+ffrUn5YlJCSCg4MdHR2HDx9uaGj4559/coaDjM+l7Prugu3SBsb9MY3gZurUqQCA+Ph4nO1yTxNOnz4dNx9yc3NjY2NxMIQQJJjgoFAobm5usGuvqKjo6enJZDL70+Dnz5+dnJxERUUBALKysm5ubhQKBb5Fp9MdHR1TU1MxDIPzTPD2bWxsioqKeHAzGIZh2KtXrzgtm5iYUCgUIyOjffv2RURE/PXXX5mZmT///HNVVVUPW0tKSsrOziaTyVeuXOGhk3yFwWCoqKhw/qTT6crKyhiGxcXFiYiIODg41NbW8twoJSWxaPpPhQZaXf4rmv5Te04Wz40KLZcvXwYA/PrrrzjbpdPpRCKRQCDU1NTApM2FCxfy22h6erqysrKMjMyLFy/IZDJ8kcFg/Ci/R0QPEaQQQj59+jRv3jwoHgYGBu/fv+9DIy0tLW5ubtLS0gAAcXFxJyenmpoa7hMuXrwIABAVFd2+fXtTUxPc2wwOKaSlpd3c3Nrb2/tzF7m5uXZ2dvAu1NXV/fz8GAwGhmHt7e2hoaGnT5++d+8elUoNDw/naPM3SU5Ovnr1alFREZ1OP3z4cH/c6y3R0dFZWVlVVVU+Pj55eXm9utba2vrhw4fwOCAgYPXq1RiGeXt7S0pKAgCUlJT8/f1ZLBYPvaV9yiOZj/+qEE4dx6j4zENzQs7Hjx8BAGpqavibnj17NgDg3r17cNZfQUGhn13n7klJSVFSUgIAWFtb9/xni/gREbwQQiIjI4cPHw4AgOMGTufrm9DpdD8/PxUVFQAAgUCws7MrLCzsfFpbW5ubmxusaxw6dGhQUBBcB87BwQFO440aNerp06d98Ly2ttbZ2RlO2hOJRFdX1+bm5j6005mmpqarV69iGBYbGxsbG8uTNnvIx48fg4OD//zzTzqd7ubm1qtri4qKzM3NFy9ebGNjY2lpWVVVVVpaiv1vj8fQ0LBvPZ4uoRcVkkxGf00Ii+eZ8soQAsMwNpsNf25d/tD4yvHjxwEAO3bswDBsxIgRAICMjAw+2YqPj4cRfltb2372khHfP9+LEGJf0apuzmez2aGhoTo6OvDZampq+ubNm+5N5OXlWVpawvOnT5/+4cMHDMNevXo1fvx4TqS0rKysw1UfP368c+dO5x9Da2uru7u7nJwcZxjaTdjz4cOHHh4eHz9+PHHihJubW08ihLdu3dq4cWNERISjo+Pjx4+/eT4Pqa6uDg4OLiws9PPzc3Fx6UMLZDK5oaEBw7CysjJZWVkbG5uSkhKsHz2eLmE2NZAvupN+HlO60KLIdOz/SuCIQgOtIjO91udP+mMC0ZmlS5cCAAICAnC2++rVKwDApEmTMAyDdVAXLlzobSM0Gq21tRXDMPj97JKXL1/C5SFXrlwJQzuIgc13JISQLrWqM2/fvoWrLgEAxo4dGxoa2sP22Wx2UFAQ7NKKi4s7Ozs3NzfT6XRPT0/41ScSiW5ubjQajXNJYWHho0eP4uLiOK8wGAw/Pz/OJqWWlpZf85NDW1vbb7/9lpWVdf78+czMzPv37/fQYYEQFBS0c+fO/Px8b2/vV69e9aepiIgI+MHKysqePn2aTqe3trb2qsfTJWwqpfG6T9H0iaVLZrXEPMLY7Hrvs0VTxxUaaUMhJBlqkQxH1l+73B/nEV1y4cIFAICjoyPOdtvb26WkpERERMhkckBAAABg6dKlvW3Ex8cnODg4LS0Njiw7Ex0dDRMXNm3axNsYPuK75bsTQuwrWsV592uzcb2isbHR2dkZptWoq6sHBQVhGFZeXu7g4ABb/umnnzjjSwqFcvz4cU4QJiYmZsKEfxPxjY2NuQWyGyorK9PS0kJDQ48ePfr48eNvDl4HEhUVFZwPdsyYMTExMRiG5eXlwSmf7ns8XcBiNUfdL7EyKZ6l33TrGpv5///77dlZNX/sLF08s2zJrKr924pMxzY/vMuPOxJyYN2CpqYm/qZhvujVq1dh9Z6SklJvtQpGOzAMO3v2bOd37969Cxdi3Lp1K1JB4eF7FEJIZ63i+WxcWloaZ5WmWbNm5ebmYhgWGxsLy+0JBIKDg0NNTc2DBw/c3d1TUlLev38Pf4fwgR4aGtrzoczbt2+vXbtGpVLfvHkTFhb2zQsrKio4QVo6nZ6WltafO/0eePHixbhx4+CnZ2dnV11d3X2Pp0so796UrZhHmjqOfNGd1drS/cn13mdKrEzYVJTmwGNYLBbMIoHhbjw5fPgwzHoD/7F69eqYmBjuEE73pKennzt3rqmp6Y8//mhqauJ+KyQkBD5eXF1d+eA74vvl+xVCSFJSkpGREfzGw2CauLj4tm3bOiSF9hkWixUUFDRkyBDYvqurK5VK7VzXkZOTY2dnB9NqlJSU3N3d+T1/7unpeerUKXhcVVUF50XwgUQi5efnw+P29vYXL17wqmUYgobL3SkoKMCCmS5H551pz86qcPql0GhkzeFdzLoe/e+z2tqK50xpCLjEK/8RHODGMjdu3MDZLme1a1FRUZglDlFUVFyxYkVQUNA3nwzZ2dkpKSm1tbUpKSncJ/v6+sIFVJEK9oH6+no4gK6oqOjDTIfA+a6FsK2tzdfXt62tLSgoSE5OTklJydzcvBcxtB5TX1/v7OwMfwY6OjqPHj3CMKygoICzQBp8TBOJxEOHDvEqKbR7BCiEFy9ePHnyJDyurq6eOHEib9snkUjz58+HH6y+vn5iYiKGYampqZ1H5xBGVUXtyd8LjUZWbF1F+9S7Wo6mu0FF5uOZ9XW8vQXEmTNnAAAbNmzA02hOTo6amhoAwNzcvKioKDU19fXr166uroaGhoALPT09V1fX169f9zy2eenSJQKBQCAQuoyXIrqnvLw8LCzs4MGD8fHx4eHhfchgEjjftRC2trZevnwZJneNGjUKAFBQUMA/c/Hx8XBZcAAAd5ajgoKCoqKitbU1noEgT0/PpUuXXr169erVq+fOnRtIQgiJjIyEGfAwBF1XV9d5dE6prSZfdCf9rPvZYSElJbEPVthMRtkyy7q/3XjtvrCTnJwMABg1ahRuFtPS0uDeDjNmzGhpaTl8+HB4eDjss2IYVlRU5OfnZ2dnx9kMHAAwZMgQOzu7oKCgDgmiTU1N1dXV8JhCoeTm5iorK4uIiPj4+OB2OwOM2NhY2HHPz8//WlDne+a7FkIMw65duwa/xPChWVxcnJqa6uTkxKevLJ1OP3PmDPwtaWtrw3JdOGXY27ryfuLp6bl8+fLAwMDAwMALFy7gLIRWVlYeHh4eHh6HDx/mkxBi/xXMwEL7wYMHe3p6slismpoaR0dHCRGRtSryBWZ6JfOnNkfdx/oRbGl9/oRkPIpeWsw7xxEYk8mE61GUl5fjYC45OXnw4MEAgPnz58Padm9v70uXLl28eLHDmRQKJSYmxtXVlbOmI4zoGBoaurm5paSksNnss2fPKioqwrjoy5cvV69enZaWdvPmTRxuZEBSWlqamZnp6uqakpLi5ubGq3krPBHMots9pLW1NS0t7eXLl+C/nXUlJCQKCgr8/f3hkoM8R1xcfM+ePTAx9ciRIzAiKqjd7fX19desWbNmzRp7e3ucTauoqOjp6enp6XF2GeQHMjIyR48ezcrKmjNnTkNDg4uLi4WFRU1NTUtL8wK1IXu1h6ps3zf84Ss5m6WgH2uXE2fNkxw/ueHyaR56jhAVFcVt0dH4+PhZs2Y1NDQsXLjwwYMHcGrQ1NSUTqfDBUi5kZaWtrS0dHd3z83Nzc7OPn369MyZM0VERFJTU48dO2ZkZKSnp4dhmKGhIcw7hejr669evZrfNzJQUZeRaq6u2rNnj7S0tLm5OT677PGW73pvIFlZWS8vL3jMUSMcZElDQyM0NJTzp6CEUIDo6ura2NgAAGpqav7++2++2hozZsw///wTFRW1bdu2N2/eGBgYSEtLE9upn718xi9ZyhMTSrv/qFi7dFBmqtQkw2+fjegZFhYWT548iYuL++WXX/hn5enTp0uXLqVSqb/++mtQUBBn36URI0asXbu2+83/YGdu7969bW1tL168iI6Ofvz48ahRowgEwsKFCyMjI1+8eIHzDsMDCYxOa/C/0BwWjDEZ6mysTU5efd02vRWO4Af8SH8YjzsIIaz1wdM0nhYBAGZmZjNnzoTHcnJyO3fuxNM6/tja2n78+HH79u0YhrW0tFQzmJpjeLZnpNSEycSZVvWefwIM41WbQkt7e7u/v//Lly+5t4PgE9HR0UuWLKFSqU5OTjdv3uTefVBRUbHnW+ASiURbW1s/P7+ysjJO3qmXl9euXbsY/21giegVbAql3GFR2jW/1uYvWHs7RqfV1VRnnTtVvWsDYLME7V2v+fGEkBMjxc00/hYBAEZGRqampkuWLJkzZw6dTl+3bh1upmfNmrVgwQJ4LC8vf/ToUX5YaWtru3DhwpEjR3Jzc729vX19fQcNGuTl5ZWUlARXrePtB660fT8tJ6stLoaHbQonZWVlCgoK06ZNMzIykpOTy8/Pr6mp4Yehu3fvLl26tL29fdu2bZzahn5CIBDgXCMAYOzYsQsWLLh06VL/mxVCyH8fYZSVuBdVf6L+25N43UwNKqulpiQ13rzahwZra2sDAwM/fPiQmZn5+PFjnjr7bX4wIRQXF8c/UCnA0GhcXBz+e6GNHz9+8uTJ5ubmRkZGFAoFLizJc4hE4s6dO0VFRceNG7d582YymQxfNzAwgI8q3n7g4iO05Zf8Un/RA2MyedisEKKioiInJ3fkyBExMTF9fX0Mw06cOMHD/UQhISEhq1evZjAYrq6uly9f5tMG14cOHcrMzORHywMbdvOX1mfRGJ3WxVvtlC+BPn0IvWAYNnfu3EePHg0bNiwvL48XbvaC73qOkAOLxWKz2aKioqKiokIlhAKJykJyc3MbGhr49ACChISEwKX9fX19nZycOK/z6QNXdNrZEn2/eud6RuVndmurmJq6/KIVcovsCWI/xq/gO6GpqamkpERJSamgoCAnJ0dDQ+Py5cs+Pj76+vqWlpY2NjZTp07t5+jN19f3t99+Y7PZR48edXNz45XnHKZMmQLz4GRkZG7cuFFVVcVzEwMbWt5HgoQkFMKXzdRP7QwAQHobjShCAABgDAazpkpsqHqv2lRVVY2Pj5eTk4MFVDjzY4wIuZ+MOMsSm81mMpkEAkFMEI9LgWsw/0xXVVWRyeSUlJSsrCxxcfGEhIQOpnku/4zPxQDDqKmJjLISVgOZlp1FPn+q/NcF7OYm3hoa2GhpaW3dutXKysrCwoJMJsvLy8+ZM0dCQiI1NdXDw2PatGnq6urr1q0LCwtraurRBxsaGvr582fOn6dPn962bRuGYefOneOHCgIApk2bBlNez58/f/DgQc7Kf4gegjHoAHx9zEcgYL2fec3MzCwoKJCTk0tISMjNza2srOyXi73kx+gLcz+U4YwdboMkgUwQQjAMYzKZQEAjQn4LoZqaGicDyNjYmN+mWfV1VTvWxdc2RDa2/T3i3y6naVJ+ogGzereT+tXQ7i9HcJOenj537lwymTxjxoyoqChZWVkqlZqQkBAbG/vw4cP8/HxY/yoqKjp58mQbGxtbW1sDA4Muowt5eXkZGRkjRozQ1NQEAHh4eBw4cIBAIFy8eHH79u38vpGMjIyEhIRXr1799NNP/BTV7iYAACAASURBVLY1kJAYOYYjdTPlpScRJQEA4gSQTaEDADAWU0xtWM9bY31ppLx+oVlepqWgKD3lZwmdMZydhXDjRxoRQj3AeZAkwDEZ3FVDQkKCr/HJbqwDAWkwPzofjYG+MJLD5urIsjCAMWjtedntGSk8tDWwSU5OtrS0JJPJCxYsePLkiaysbFpa2rVr13R0dNzd3fPy8kgkkqenp6WlpaioKKd6T01NzdHRMSwsrLm5mbu1kydPysjIFBUVAQCOHDly4MABUVHRa9eu4aCCAAAcEl8HJGJqwyTGjCN0FQAnSEjKzVvc8+mGppBrZfPNyB5ujVcukj3dKxwXV+/cwG5r5am/3+bHEELuJyPO02YCD04KSoowDBMXFxeIBvPjM6fExcI+LIXNLqMx4T82AAAQAJ1GeYsehT0iPj5+9uzZDQ0N9vb24eHhcGH64ODg7du3jxw5UkdHZ/PmzdnZ2Vu2bImJiWloaIiMjHRyctLQ0Kipqbl586a9vT1cMdjDwyMnJwcAcOnSJXNz85EjR+7atevEiRMSEhJ37txZu3YtPrcDN5OJj4/HUF1NL1E9eZ4gI7tkiJyaxL+apycjOWOwnKiikpLL7z1spOnmlUbvM8cKK9iUNgAAYNDuVtSlvXpe6bQSY+Ga1PZjCGHn0KiQjAgFZVqAd81kMmFiFG8rnVltLfAgj0q/XN0E/9ExDACAsVishh9vLQz8efr06bx581paWn799deQkBBOF23GjBn29vYKCgpFRUX+/v4LFy5UVlZetmzZnTt3DA0N/fz8Pn/+/PHjR3d3d7jndkJCwoEDB8aPH6+jo+Pq6vrlyxdfX19PT09JScm7d+8uX74ctzsaNWqUpqYmmUzOzc3FzejAQFxjhMbNiMUmhioS4gQpGRFZ2TGDZGdbztEIiRKRH9STFlj1dY0+59nt1OiGNs6Lqa3tlW3t9NLilogwvvneBT+eEAokNDogZ+m+T9N8kn9xlaHwwIAo5TFiCPwnRSAAAAgSkuLDR/LWHP8ICwu7cOFCaWkp5xXuXPOqqqqWlhZ+2O2mtn3hwoV3796FqU9ubm6Ghoatra0PHjzYuHHjsGHDxo8ff+DAgaqqqt27d8fExFRXV4eGhjo5OQ0dOhQK5+LFi0NCQmRkZKKjoxcvXswP57vB3NwcfH/RUQqF0t7ezmazudOIvjfEh2sN3rqHICqi8scplWNnhz94oe51XVRxcA8vb33xFPtKxg1GpTTfC+adp9/mRxJCgcwRCuewbODJv9wie4K0TNfvEQjE2fN4a45/2NnZ0el0mFoC4V5v8/jx4/woPOXUtv/2229fq22HC1sfPXo0JSWlqqoqKCjIzs5OXl4+JyfHw8Njzpw5Q4cOtbe3v3//vrm5uZ+fX3l5+Zs3bw4ePKiiosJkMp2cnOB4EWcEOE1IpVInTZrE+dPe3j4tLQ0AQKPRPDw8UlNTL1y4kJGR4e/vj79vPYTy5pWU4c+y8xcTZ8ztbb0Eo5iE0doBAO0Y9ktBNfz3qpn677tV5bx39+v8GELYeY5QGEKjgp0jBANL/uWX/iqmMnSwpORY6f//PE3lpAjS0vLLV4kPG85bc/yjtrZWXV0dzxUyg4ODObXtcN++b16iqqrq6OgYGhpaW1v77NmznTt3jho1qqGhISwsbPPmzZqamlOnTnV3dx8yZMipU6fgnl8VFRU43EtnBCiEcDVBzp8UCoXFYgEAJCUl4Yad8vLydXV1MJOIA4PByM/PBwC0tLRUV1fj63JHKG/jiOYz+3YtQU4eiIoAAKQIhNtjhsJ/M+T/3WxZROor3Vb+8OOVTwhbsgwyzRMIEhLDroaK7No4oegT1k7F2GyCuPiFcZryS34Z4nKQt7b4SmZm5rJly7hfwTDswYMH8Li4uJi35vpZ2y4pKTl37ty5c+d6enoWFRXFxsZGRUXFxMQkJiYmJibKy8vr6upypAjDMPyTs3R1dVVVVaurqwsKCvi610qXsFgsjpjRaP+/UEtVVRWGYfPnz8/NzYW1/xzi4+ObmprS0tJgvu66deuGD+/YjSssLJSTk1NRUcnKyho1ahSRSAQAUN8ntP4TxawqF1VSJs62Jk637Ofq2PSiT4yKMhmzPgqhjPHU5lvX/k2T+V8IomLSJtP641tv+VGFUBjmCAfesKznpvnxgYsOVtIICqemJFIT4piNZIKmdgwNGM+1UmCzH9y7N2HCBD09PZ4b5Tlz5szp8AqGYWVlZfC4tbUVAHDgwIHBgwdbW1tzNpruG6dPn96/fz+BQDh37tyuXbv60xQAYOTIkU5OTk5OTm1tbbGxsY8fP4Y7nIwZM0ZdXb2ysjI/P597E0F8IBAI06dPDwsLi4uLw18I6+vrnZ2d4XF2djbndS0tLZgvpqSkNGvWLO5LZs+e/eTJk6FDh+rq6kZFRSkoKHRok0ajFRcXP3r0aMeOHQwG488//zzxxx/VezbRPmay2ymwfqj1VYy4xgj1yzdEByv12XlKwivxYcPFR2j37XJpAxOx4VqMT/md3yJIiCtu/K3PjvWBH08IcZYHYVajgZQsw0HayFTayBQAUF5ePkdS8sKFC+rq6paWllpaWnyyyG9ERERcXFzgcX5+Pp1Ov3jxIpVKdXV1VVVVnTt3rq2trZWVlby8fK+a5V9tO5FIXLRo0aJFizivTJs27e7du3FxcfgLIQDAwsICCuGmTZtwNq2iosLZ8Q12CyCTJ0+GB6qqqh0uCQ8Pz83NXbt2bUpKyoQJEz5//jx+/HjuEyQlJdXU1AAAOjo6UVFRKioq1Xuc6lOT936q8B6pAs85nFe2obkNbP5F485jgmgfVYDy5qXM9Nl9uxYAAAgENc+AynXL/jEQAUw6fM1txBAJSSmVkxfENUb0veXe82PMEQ7sgvra2tq1a9e2traGh4efP38eT9NfY+Aly3RGQ0OjsbFx9OjRZWVlmZmZnJ0vf3QIBMKNGzfWr18/dOhQTvWeqqrqvHnzLl68WFhY2JNGOLXt169fx6G2XbCF7QKx3ufKxfHjx1tZWQEA9PX1FyxY0EEFAQAUCqWgoADDsNzcXElJydqPmbSPGQw6jdT+/8ueldKYVAadWVXZ+iSyb26w21rbM1NkzGb07XKImLKqRtg/6uYWgCBCkJISlR80ZM4C7duPiDM6hj34zY8hhNyjBElJSXFxcX4/oznx+g5R2Y0bN/LcloqKipmZGYZhS5Ys4f55KCoq2tnZCSSVThjGwSkpKbt375aSkjIyMqqpqVFS6nuMSLDs2LGDc2xlZTV+/Pjly5cHBARUVVVxqveYTCZMWhk9ejQse4+KiuKelOKAYZiLiwuntn3NmjU43AKUolevXuFgqzPjx48fMmRIeXk5d1rKgwcPLl++XFBQcO3aNV9fX95azMnJMTY2Li0tnTJlCrcbcAOy7hkzZoyhoaG6urqqqqqOjk7nE2RkZMzMzE6cODFu3DhdXd1tmipsKqXLptjUtpbH4X27Beq71wQxcWlDk75dzkFEWoYgJi47b+HIhFytlxlD3S+JjxBELRP2IxAWFgYAWL58OQ62Wltb3d3d1dXVa2pqMAyLjIwEANja2mIY5u3t/fvvv/PDqL+/f3NzM4ZhZ8+eha/8+eef6enp8DgoKKi8vJwfdr8GfCRZWFjgaRSSmJgIADAxMcHf9ACGTCZzqvc4v30ZGRlLS0tPT8/S0lJ4GpPJXL9+PQBAUlIyPDwcN/fYbLaKigoA4NOnT7gZ5WbJkiUAgGvXrnG/CH+MERERFy5c4KGt5ORk2OvasGFDf9phMpn37t07depUcHAwlUr92mkV2xwKDbRSJw2XEiFMkZWC/+RFRaLHqRcaaJUtmdU36zXH9le59Mt/CJvJKLL4qeUxfl+2LvkBRoS1tbUBAQHS0tIpKSkkEol/hhgMhre398iRIw8cOFBZWRkdHQ24goRkMjk5ObmwsJDni1C0tLRgGPbmzZunT5/KysrCxRh9fX23bdsGF91+8OABznnSAozKamhoHDlyBLdFtoQEJSUlOzs77uq9yZMnU6nU2NhYFxeXESNGTJ48+cCBA4sXL7527ZqMjExUVBSete0EAmHatGlAcNFRzlprHV6vra1dsGABZ7PM/pOcnGxlZVVfX29jY9OfPYExDLO1tU1MTNTX1y8qKpo2bVp7e3uXZ4qrqAECAQAwTEKMU6UwUUYSviuqqNg389S3cX3OF+WmPSOV3dYmbWrx7VP5imB1uHva2tpOnDgBwwUyMjIAACkpqWPHjnXT/ekzMTExEyZMgJ+JiYkJTOYuKyubN2+egoKCmpra+/fvMQyLioriueku0dbW/uOPP86cOYNh2KJFi1JSUvCxC4GdgPnz5+NpFMOwVatWRUdHw+OjR4/m5eXh7IBQUVNTA8veBw36d02sIUOGEInE169f4+/MxYsXAQAODg74m8YwDFaya2trc155/fr1jRs3ysrKrl69+uHDB55YefXqFXya2dvb0+n0/jT19OnThQsXcv7cvn27j49Pl2e2vXlRZD4+ddJwHSnxQgMt+M9MTjp6nDrJULvQZHTtyd9pn3r3Q2vP/VBooMWo5EGYinzhr/J1y/rfTj/5ToWQxWKFhoaOGPFv4pClpWV8fLyTkxMsM9LR0Xn06BGvbL1//x72BwEAY8aMCQ0NZbPZ9fX1u3fvlpSUBABIS0sDAERFRXfs2NHU1MQru92jra3d2to6bty4srIy/IXw/v37AADuXxo+aGlp6evrwyHy0qVLYecDwW9KSkoiIyNhmj6n91NUVFRZWYmbD3CneE1NTdwscsNisWAdAidKzHMeP34MnySrVq2Ci9r3h7///vvUqVOcP0NCQrZu3dr1qWz259ULMwx1jGWlOEJoo0h8NkGzdIFZy/OnFVtXFRpola9b3hLziM3skWMNV7zK7Ob28xYgZXZzG6548aSp/vA9CmFMTAxn5SEjI6MXL14UFhaeP38+JSUlPj6eUxplY2NTUlLSH0P5+fl2dnZQXJWUlNzd3Wk0Go1G8/T0hL8KAoFgZ2eXnZ3t5uYG44RDhw4NCgpis9m8utnOwLlJ2Dm9d++enZ0dFEK+GuUmMTHxp59+UlNTk5eXDwoKwscoRFtb28vLa/fu3RgSQrx4/PjxjRs38vLyPnz4AADQ0NDAMOzw4cMAADc3N9zcYLPZcOasuLgYN6PcwOqFmzdv8qPxyMhI2KvevHkzi8Xqf4Oenp7c/zvXrl3btWvX105mNjWUrZxPMtfjCCHJTK/ExpwzpGvP/VB78neS6dgSK5N63/PMxoYu22F9aWp7/bzlcXiZ3Vzyhb/6fxeM6spCA632XN4MuPvD9yWEycnJM2f+G3cePny4n58f/NIcPHjQ39//48ePGIYxGAxPT09OvNTNzY1Go/XWEJlMdnV1hV9NGRkZV1fXpqYmNpsdGhqqra3NGYampaVxLsnLy5s9+9+imenTp/MqWsJNS0uLm5ubtLT0s2fPOFEaa2trTU3NpKQkMzOzvt1sz8nJybG1tYX3yElgmzNnTn5+Pv+McqOtrc1gMAwNDdPT05EQ4sOhQ4cCAgICAwPZbPaQIUMAACQSKTw8HAAwY8YMPD2BlYWBgYF4GuXwxx9/cGJCjY2NPGz59u3bcI3yvXv38qo7m5SUZGpqymltxYoVYWFh3V3AYrY8iajcsbZs+ZyKLau+PLjN7vQkYdaTG6/7lFibkn4eU3N4F60gl/MWm8GoO3uCZKpbNH0iyVyv0EC7yOKntjcv+nkXX8JuFs81xvDq4nfD9yKEpaWlTk5OcAXFwYMHu7u7c08Eurm5MRiM48ePc16pqKhwcHDgxDNjYmJ6aKitrc3d3R1OioiIiDg4OFRUVGAYFhsba2BgABvU09MLDQ3tfC2bzQ4KCoLpbeLi4s7OzjDVs//AYSh8DBEIhEOHDnGEsLCwUEpK6syZM9C3SZMmJSQkfLO1W7duUSiUjIyMmzdvtra2ftOBuro6Z2dn+HMlEolwc5ygoCBlZWXOzcKIJZ9ITU1lsVjwrhMSEqZPn75kyZL379+3tbXxzygCwzB/f/+4uDi44CcnebK+vl5ERERKSoof8/Ff49y5cwCAdevW4WaRA4lE0tDQ4HT+4ALibm5u/Y/E+Pv7w8eaq6srr7yF7Nq1y9ra2tPT85dffrGzs+NZxIjFbI2L/Z94KYNe5byONHUcZ0AJ/xVNHdca068pqiqXDbXHefyx9A3BC2F9fb2rqyvc4VNCQsLZ2blzd6ysrOzSpUvc4zPIixcvxo0bB7+7dnZ21dXV3RjqPO+YmZmJYVh2dradnR18UUNDw8/Pj8lkdtNOY2Ojs7MzXABQXV29/8HDyMjIUaNGQQdMTU1hqgL3XEVFRUV7e3tsbKyuri5USgcHBxhB7ZLm5mYvL6/q6urS0tLo6OhXr151Yx2Wi8BlR8TExJycnOA6h5CGhgZnZ2f4S9bQ0PhGr7NPlJSUODg4wDJwjvyvX79eUVExPj5eR0fHwcGhrq6O53YREDabnZaWRqFQMAzz9PQEAKxZswbDMDgHATetxYeUlBQAwMiRI3GzCMnLy9PQ0IC9zKNHj86YMYO7THn48OFbtmyJjIzsSYeyA97e3vC3w92J5yE5OTkPHjxIS0tjMpk3b95cuXIlT+KuEE68tHjGJJLx6A4q+K8WThvPau1j/5hNoxWZ67XGPuaVw/1BkELYeTauqKiot43Q6XRPT0+4qqyCgoKnp2eXMhYTE/PTTz9xzztiGFZeXu7k5AQlTVZW1s3NDT4OekJqaqqJyb/FpLNmzcrNzf32NZ1ITEw0MzODjYwdO7bLYSg3FArFzc0NdhoUFRW/drMYhgUHB1dXV1Op1DNnznwtwMhgMPz8/DiFZZaWltzx3tevXxsaGsJrU1JSOJW/NjY2HWZxKBTKhQsXyGRyeHj45cuXX7582cPbr62t3bFjB3zoyMjIeHp6coSQTCYPGTLk4sWL8F0VFZXr16/jNksqtKSnpwMAtLS0MAyDC8qcOHECN+tMJhM+DcrKynAzmp2dDRckmz59OifA09raGhkZ6eTkNGzYMI4iiomJmZmZubu7Z2dn96RlDw8P+GQ7f/48//x/+/btw4cP2Ww2LK7/559/eNs+s55cOn9qlypYaKBFMh/fHHW/by23vY0jGY9itfAmqNZP8BBCKpXKeYQxGAw6nd79bFwfIJFICxYsgK3p6+u/ffuW+11YFA87m7dv32az2ZzZOBj3c3Jy6maA9TVYLFZQUBCMZ0pJSbm5uXWOI0VERMTGxna+Njc3lzMMVVZW9vT07Hki2adPn+bN+3f/PAMDg846R6VSDx48GBUVFR4e7u7unpqa2rkR7nIRY2Pj58+fwxRBEokEQ6Bz584FXLmyLBbLz88PDhylpaXd3Nza29thU3Q6/f79+7AUOjQ0tCcZTB0C1HZ2dl9LkcjPz+csM21ubp6VldXDTwnRB7iTJ+EqFpaWlng6ALcfCgkJwcdcSkoK/P3OmzePQqFkZ2fDKBE3nNV5uPcihguIR0ZGcn4FHXB3d4c/n6tXr/LPf7j6hKamJovFOn78OADgl19+4bmV4hmTviaEhQZa5LN97CrV/X20YvOvvHW1z+AhhNOnT+cMmC5fvvz7779zlpSdNGnSs2fPeGUoMjISLp0Mg4eceBqTyZwxY8b58+dpNBqdTvfz84PzfHAY2s/FLOrr67nrOh4//v+RfklJyfXr18+ePfvlyxfOi51n4/o20RgZGQm3X4EznWQyuYcXvn//nrOV6+jRo2G5yNOnT93d3VNSUnx9fQ8ePIhhWFtbW+dc2aqqKhjGhNc+ffoUthkREQE/xnPnznVvHQaoOStcW1paZmRk9ORmYfBKTEzM2dmZ+/NE8BZO8mRtbS2BQJCRkeFrflYH4CjKyckJB1uvX7+GHTsbGxsqlZqenq6srKyqqkoikbo8v4er87DZ7D179kAV5HfSNZvNhrMqz549+/z5s6ioqJSUVEND1zmffaZ4tuFXR4SG2tUHfmO392UiuXSRReMNf9662mcEIIRHjx5dtGhRT2bj+gB8fMN00MGDB3t6enIHzTvMxr1584ZXdrus62AwGF5eXuvXr4eTl93PxvWBLrWqm/M5s3Hgv3IR7v7s2bNni4qKtmzZAoUQ0iFXFibuvnr1irPUr42NTVFR0cGDB69fv56Tk5OcnNyNA9yFMYaGhs+fP+9wQktLC/wZk8nkDmkyTU1NnKlZNTU1nOs6hIfTp08DADZu3IhhGJyA7xBf4Svv3r0DAOjq6mIYxmQyQ0ND4VeO53Bq21esWEGn01NSUmDxhrW19TfnR5hMJmd1Hu4NFCdNmnTgwIEVK1YAACQkJO7f72PMsFecPHkSALBy5UoMw2Ds5GuV9X2mardToaF211o4RYdkPIpkOrZi66rG6z704sLum2JUltd7/lW+ZslnO6tCA63WVzwO5PYZnIQQzuimpaX9/vvvR48era6u7vlsXB8oKCiAkT0AgJGRUXJycm9n4/pA57qO9vb2a9eunTlzpvvZuH7Sk7qOLstFuE8gkUi7du26f//+7du39+3bx/1Wl7mycGpWVlYWjmvd3d27D+2mpKRwtlXT1NTkFMZww2Qyg4KCduzYkZOTc+rUqT179nQ+Jz093dTUFLYzc+bMnJycXnxSiB6QlJQEh/sYhm3ZsgUA8NdfPKgY6yEMBgP+gioqKmpra8lkMj9W9+XUtq9evZrBYMTHx8Puqa2t7ddCnV+j8+o8ysrKkpKS3JEhvlJeXs4ZCN66dQsAYGxszFsT7dlZnVNGCw20Cg21S2ynsdtaKO/e1P19tMTatNBAq9R2eu3J31vjYtmdls5peXS/aOpY7rwbkunYhquXeOtt38BJCB0cHJydnZ2dnWfOnHn06FEcjLLZ7ODgYKg9nC2e1dTU/P39+7+sQzd0qOu4fft2VFQU92wcXLyNt3RT19F5Nq7LObyamhoSiUSj0QoKCroMPHLnyg4bNgwOyMrLyzk3O2nSpC5H2GVlZZzCGEVFxQ6FMZ05fPjwvXv3Pnz4cPny5S6TReHN4lbXIWwwGAyoChUVFbdv3wYAzJs3D08HYBf27t27GIbFxcVxr5/CEzi17Vu2bGGxWC9fvoT9uZUrV/bwyZCRkbFjxw4Mw1xdXQ8ePAhDFzQaLTY2Fk7eT5s2jbc+dw/8xC5fvkylUhUVFQEAnWc6+0lj8NWOWmg8qnjGJFrR/8wr0ctLm25dq9i6imQ8qshMr3Ln+i/3bzGqqzAMo6S+L+pKTUlTx/U53YaHCCY0ioNRSFNT04YNGwYNGiQrK+vq6hoTE+Pn58fbatkuefr0aYcVqxUVFe/du8fXvMcOdR2BgYEdykV6MhvXPdy5srNnz4b/rVFRUTDvqUNdR0NDA3dhjJOTU21tbTeNMxiMY8eOPX/+PDMz89KlS/v37+8mct65riM6OpojnLm5ue/evevnzQot8Gl++/btyspKAICsrCxf+44YhuXl5f3222/wv/vUqVMAgG3btn3+/NnHx4e3aau3bt2C0/P79u1js9nR0dHw+7lp06ZeFR7AjSk2bNiwYcMG7m9pWVkZ/LHzsIzhm8D+ipGREYZhW7duBQDs2bOH51Yo794UTZ9YaKRNMh1L+lm3+sAORu1Xy9VYXxpbYh7Vnvy9eK5xoYFW2fI5RbMNvjbRWDxjMsbi8RxZb+G9EDY0NPj5+Z04cYIzxy5AIcQwLC8vDw7OMAzz9PSsr6/Hxy4cjIqIiEBlWrFiBT52k5KSjIyMoCxxgsOwXIQnwFxZOKEC00epVGqHuo6zZ8/6+PjAQRvMSPpaAgI3NBotJSUlJSWlvb09JyenJxOoycnJsK5jzpw5VlZWnNzjgICAAwcO9PdWhZW//voLDpgwDBs9ejQAICkpiX/msrKy4D7s7u7uGIbdvXsXxs97XofTQzrUtt+9excW52zdurW3unX27Nn6+vpz587duHEjNze3rq4uMDAQJrvCrmf/O509h0ajwd9jZmYmjGyrqKj0c1HvzrAZjKLpE5uj7jPr63qhWywW9UM6+fypQsORXxPComkT2rMFnA3OrxHh6dOnOcdubm5w9RYMw549e8aPouxuyMrKAgBMmDABw7CkpCQvLy98aoThVzMtLQ3u6gmLlPGByWSePHlSUlJy0KBBt27d4scwtMtcWU6pA0eD+18Y800YDMb58+fz8/OREPKKt2/fAgDGjRuHYdiGDRsAAHAXFH6QmpoKCxhmzpzZ0tKSk5Ojrq7O+f58LZLfB7y9vWGzsLY9JCQEDg3379/f26Zyc3P9/PyysrKePHkCN0uB+3dOmjQJwzBHR0cAAG+3MPwm27ZtAwDARXphwfTDhw95a4KSlFBopMNs6ktKKq3oU9G0CV8Vwuk/tb3umDeHM3wRwg8fPvC8rrPPpKamAgAMDAwwDAsNDT1+/HgP62H7CZxo+fLli7+/P4y94GCUQ0FBAQBg1KhRfLUSHx/Pmf7k5Mp6e3sDAIhE4pMnT/hqvQNWVlarVq1ycXFxcXGZM2cOEsI+Q6fTiUQigUCorq6+ceMG+G9jap6TlJQ0ePBgAMCCBQuoVOrHjx9hbfu0adM8PDxg1oy0tLSrq2s/p4FhVR+BQPD09MQwzM/Pj7fLnrW3t0tJSYmIiJDJ5ICAAADA0qVLedJyD0lOTuYMBM+ePQsAWLRoEW9NkM+dKl/fx63RWV+aSCZdr00DazCq9ji1Pn/Cauvp2j1sOp1eXsqo6VfWPTd8EcKbN29+P4uAwJrTn3/+GWe7ME5IpVLh9pvbtm3D03p2djYAQE9PD8Ow48ePGxsb80mW6HT66dOnYbrB9u3bMQwrLCyEw0R+mOsGKyurkJAQGFw9cuQIEsL+YGlpCQAICwuDk16DBg3ieaVTh835OhcwwLwzOIyD+VkkEomzjGJLS0uHAjIktgAAIABJREFUBOn09PS9e/diGNbc3GxlZcUpv+HUtgcEBGAYdunSJQKBQCAQeDvMhVu5RUREwO//kCFDcH4GwsKk8PDwmpoacXFxMTGxflZndaBsmWXDtcvcr7S0tAQGBn769CknJyc0NLS8vLvtCT+vsik06LoGg2Q+oXrf1iLz8YVGOuXrljde92nP+WqklFlPrj6wg2Qypshcj2Q6tmi2QdPdG/1ftpsvO9SvXr2au7xGsAhqs3WOXQaDgb8D3Hf96dOnpKSkuro6fhgSFxffu3dvbm7uunXrjh07BgS6u/24ceMMDQ0NDQ05KUKIvgGXXIiLi9PU1NTS0vry5QvcpIlXPHnyxNrauqWlZdWqVSEhIe/fv581a1Z9fb2tre2DBw9gbYO6uvqNGzfev3//888/V1RUrFmzxtzcHMYbAAD5+fn79+/nbnPy5MlwQOnr62tlZQUfcHv27Dlw4ICoqOi1a9fWr1/v4eEBl47z9PSEZe+8gvOJ6ejoaGpqksnknJwcHrb/TdasWQMAuH79uoqKyoIFC5hMZkhICK8aZ1R8phcXEv93S3oymWxvb3/jxo2YmBgzMzPu5eg6o/z7SYKUVOfXRaSlVd08VP/21nqeqn4pSErfqCX6fvnqhWULp9edOtga+5hNoXBOZlZXfraf+zoynE6nsSkUjNZeWl374fSJmkMu/bxBvgjhdwV8LnOvoosDTCaTzWaLioqKiIgIRBi4jeLggIaGxrVr12CYSyAf+NdISEjw8vIqLS29c+dOQkKCoN35YeA81jsc84SoqKglS5ZQqdTNmzffuHHjzZs31tbWzc3NK1euvH//vpSUVG1tra+vr7e3d35+/uvXrz09PYOCglRVVauqqk6cOOHo6FhbW/u1xpubmxsbG1NTU3Nycnbu3Hnu3DkJCYnQ0FBHR0c3NzcoigEBAc7Ozry6HQj3pzRt2jTA00+sJzg6OkpISDx+/LiqqmrdunUAgOvXr/fw2vLy8oCAADKZDAB49+4dDANwQ3nzUkxZVWL0WO4XtbS0MjMzp0yZMm/evPT09KtXrwIAkpOT/f39qVRqUlJSQEAAi8WCJ0uOn6R66oKIjAwQ+XeMRBAXF5GSGrzzINFyPgCAICEpbWKmtMNV817M8Mg4hbVbmXU1tYd3lVgaVm5b3RToyyghVe//jd385XBxbROTDRuJbmx7Vl1PiYttfRzet88NIixCiLMOcY8CvxMhxE2ZBDICBgAcP34crjsMAJgzZw7sIP/000/29vZPnjyZPXt2fn4+zi79uBgbG0tLS3/8+JFMJvNWCO/cubN06VIajbZ3714fH5+nT59aW1u3trauXr06ODiYs8b6+PHjGxsbg4ODiUQihmGOjo6FhYVTp04VERG5efOmtrb2/v37Ya3wnDlz7Ozsfv31119++eXZs2f79u0jEomqqqoHDx708vKSlpaOiIhYsmTJ7t27jx8/LiYmFhgYCHWCt5iamkpISGRkZDQ1NfG869ATlJSUOAPB+fPnDx06NDs7G84dfhMKhbJy5corV66QyeSIiAiYYPg/JyS8kpk2C/xvnC8uLg7mBH3+/JlEIsEwjIqKir6+fkxMzMOHD2fOnMmp4QYAEGfM0Qh5RMCA1PifpI3NFNZs0QyLGWS3urM/4sOGyy/9Rc0zQOt5muopT3E1jS93g8qWWdJys7D/lJUbNpXScNWrJ3f6VfoZWv3+efjwIeDD1HH3NDU1AQAGDRqEYdiRI0cAAMeOHcPTgefPnwMAZs6cif23emRUVBQ+puHAa+rUqfiY6x4Gg3HmzJn6+vrGxkY4RYToITNmzAAAhIeHk0gkAICpqWn/2+xQwBAREcFd2845ra2tjcFgHDp06M8//6RSqZzfzr59++zt7Tmr9BGJRHt7+6892UaMGCEhIRETE8Nms2E4VEJC4sGDB/2/i68xdepUAMCjR49gydbQoUP5PU0YFRX19u1bCoUSEhJCIpHg7gJwgbq9e/cCALZu3drDpu7cuZORkbFnz567d+9ev36d+y12O5U0dVzryx4tCs1isTw8PMrLyzdv3vz33393WMm55Wlkkble5z2Bvw2bXe9zrtBkdKGB1lhpid3qioc1Bh/WGDxrkMwhjcGFBlqkKTpsZt+rXdGIkO9GBRIqFOCQVIBzhJ3x8fFhsVgkEunZs2efPn1iMpmC9uh7Jz4+/uDBgwAAmP0RHx8/cuTIyspKWFPRH3x8fLZs2cJms48fP+7u7n7r1q1ly5bRaLT9+/f7+PhAgYTQ6fSgoCALC4tNmzYFBgYuW7aM89b8+fMzMjJiYmJGjhzZ1tYWGhpqYmLi5eUVEhLi5+d3/vx5d3f3gwcPbtq0qbS0VE5Obvbs2RiGNTY2ysjIwJBsP++iGzgDQV1dXXV19erqapi8zSfa2tr09PSio6Orq6sXLFhw/fp1a2trNTW1/Pz8pKQkOOqFG3R/s6mAgID4+PiWlhZnZ2cVFRWY+8aBmpIIWExpY7OeeHXgwAE2m93c3DxixAgajQaLiTlQ3r6S/nk6oQ8PBwJBTFlVRPTfDUCGiImoSoiqSojKiv7/IPXJ4yfJyclsNjssLCw3N7d37fdZQn8UgoODAQCrVq3C02h5eTkAYNiwYRiG7d69G/CzEqtLYN8QZr3Drj3Py5O/xrNnzwAAc+fOxcccgufAZVNgUAHWxvWfDpvz9a2AYd++fYGBgfD43bt348aNg0VKcENvuKzgly9f3r59C+sRwX9F+gwGg+erjnXm6dOnAAATExMMw+BQ1c/Pj68WyWQyfLCkpaXB9ZPhQHDLli3t7e3GxsYAgFu3bvXTSp37kYqtq3ngLotVbGn0JfxO366mZqbCYsSx0hKJEzVhxukedUU4Isyba1JcXOzq6nr//v2kpKTeLlErLCNCnAdk3EYFnjWK8yfwXSXLIPqMgoKCtLR0UVGRjo7O5s2bo6KiaDRa35ry8PBwdXUVERG5cuWKi4vL5cuX4bI1Z86cgbUNPWT+/PmGhobwWEtL6/jx43l5eWvWrGEwGBcvXkxISHj27JmJiUloaChcUAIA8PLlSwCAmJgYZ19u/mFmZiYuLp6amtrS0oLDNGFFRcUvv/xCJBJfvnwJpz8BABs3bgQA3Lp1S1dXV6qh7icZycBr1/ppiPI2TsZsRv8dbs/JYjXWy0y16NvlUhP1RQYrga7KEQhS0qqOm5qbm1ksVmVlpba2Nvzf7zli3z7lB0cgOvSdJMtANcLZAUElyyB4QlJSkqys7JMnT9asWUOlUqWkpIqKivz9/f39/YlEoqWl5fz58+fPnw+3h/wmGIbt27fv7NmzMFdzzZo1Hh4eBw4cgLXtvU3dhLENiKqq6vLlywEAgYGBW7duffDgwdy5c3V0dB49eqSnpwcAuHDhgouLS+cESP4hKyurr6+flJSUmJjILYSJiYny8vItLS1ZWVlqamq2trY8MTds2LB//vkHHs+c+W9hg66urr6+fnp6OqutZabm0ENj1WiUylq3vTLmM2V+niYiJ99bK/TiQkZ5KdF8Vv8dpiS8khyjJ6Yy9NundgmBMNTDu3Kj3RY1BVnRf4dw0+SlxSUlJMaMFbVZ9jo4BAAwe/Zsb29vqa5KNbph4AvhdzJHKEAHcFam72qOENFbjI2NRUVFrays6uvrra2tQ0ND8/Pzo6KioqOj09LSIiIiIiIiAAAjR460sbGxtbW1sLDoZvR/+PDhs2fPSkhI3LlzZ8mSJUePHj127JioqKi/v//69et55bOJiYmJicnnz5+lpaWhCgIA4J4Mnz9/5pWVnmBhYZGUlBQXF3fy5EkVFZWKigoSiSQpKfn+/fv169fr6OjA8Cn/KC4urqqqAgCMnjjpZHT0UGkpyts4yuvndSd/Z1Mokrp6MtNmEafPlhw7AXRb6s0oL215FsUoKmRWlYsNVhbXHP5N00+fPs3Ozp4+fXpZWVl+fv7y5cvHjBnDfQIl4aWM+cyvXd4TJHX1hgWGLz3kwigrIYiLAwybKEmXX7RCaddBgoTkb7/9Bk+D+Ym9o2/h2h8IuOAQXIUPN7jXdVu1ahUA4ObNm3g6cOXKFfC/26vitnUfXJTLwcEBH3MI3tLN5nyd994DAMjKytrY2Pj5+XHWE+YmLy9v+PDhERERbDZ7165dAABRUdEbN27ww/OCggLuGU02mw39LCgo4Ie5LomOjgYAmJmZYRi2dOlSAEBAQAAnY9nLy4uv+7Dm5ubCqnYzM7MOG46ymQxqejL5ovvnVbaFBlrFlkY1h3e1xDxitXZau47NJl/0IE0d+9+iaNok49Gli2cyKj5/04GSkhI4ievh4dEhY5ZZTy40GknNSOnvTWIYhmH08tK2+OeU5Lc9X5Wte9CIkO9Ghc0BNEf44/Lq1StbW9vW1taVK1fevHkTTjtxUFFRcXR0dHR0ZLFYiYmJ0dHRsbGxqamp0dHR0dHRIiIi+vr6lpaWNjY2sOAPAKCrq1tQUACTWS5duiQhIXH79m2oEDxn+PDhVVVVTU1NCgoKAAACgTB27Nj379/HxcXBPTRwwNzcXFRUNDk5mUKhwA3J4+PjpaSk3r17t3LlSgkJCbhoDj/IyMiYO3duXV2dhYVFVFQUXL6OA0FUTGqykdRkI7ADMCo+U9+/ob5/U3dsH0ajSU7QJ/5fe/cd1+S1/wH8JIQVUDYo4AoKggoKeh2AOMBanHUvqvX+RJw4C864C2oVi6PgxVEpCqK2FBCFAgJqVVAqolAIBjHsHUICGc/vj2PTFBGBDMR836++7it5kpxzgjf55DnPGeMnU8dPVqMNQghVnz9VF36J4PH+filBCPiCt4Wsb+b2ufk7WUv7vZrfqaiouHHjxvr161ks1oABA1osLtZ4P4ms3VNj2HCZvFlVs76qZh8/SW0/ZQlCGCzz2U+oB1KKiYmZN28ej8dbtWrVjz/+KDmfoQUVFRUnJycnJyeE0OvXr+Pj4xMSEm7fvp2RkZGRkeHv729oaDhx4kTcd9qzZ8+VK1deunSJSqXevHnziy++kFP71dXVvb29FyxY4OPjIxKJysrKrK2tHz16lJKSgoeQKICOjo6dnd3Tp0//+OMP8WXCS5cuLVmyBCHk6ekpp3ozMjLEvdk3btxoO25Vzfqozlncc85ioonHy8zgpCTURYZWBfqrmvXVsHNoiI8l+C1HRREikZBdX3PpR4N12z5UbFxcHJVK/fPPP4VC4ezZs1s82ng/mTrOBZFVWn1tl/v8gxB/LyvPND6sC5MYrhF2RxEREcuWLePz+WvWrDl9+nQbKdjCgAEDPD09PT09Gxsbk5KSYmJibt++zWQyr1+/fv36dQqFYmJiwmKxevToERUV1bt376ampo6O6Gu/nTt3jhw5MikpSVVV1d3dXUtL69KlS3iPJIVxcXF5+vTpvXv36HS6vr4+k8ksLCyU6+K3qamp06dPr6+vnzFjxvXr19v/5yWpa2iOdtQc7Wi4nc5nvWlM+b3uZtj7KYgRTbyG2FttBKGHh8eHHiKEgsY/Uo189rezYYr3+U+f+EROyJRn2CoEYbcTFha2dOlSPp/v4+Nz9uzZ9qegJCqVOm3atLNnz75+/ZrBYAQEBLi6uuK1drW1te/cuaOvr89isfCEQvmZMmXKoUOH6HT6qFGjZs+ebWBgUFRUxGQy5VqpJPFCBGQy2dHREd+WX3XJycnu7u54pdabN292+keGqllfncXfaE/6so1BNMKqys4VzsvMEHEaNEc7d+7lCvD5ByGFQtHT02vRYy5vn8jKMl0yfQKCsHsJDg728PAQCAQ+Pj4dmtXXBhqN5u3tHR8fX1ZWJhQKGxoaTExMbG1tLS0tWyw1IlckEgn33ypy2c/x48eTyeQ//viDx+PJezZhTEwMXql11apV4q2GpaGip9/Wsi8kxI6+Kayu6mixjQ+SNYYOV9E3kKpx8vT5B+G3334bGxuLFzpJSEiIjIxUQKV9+vTx9PTEvw2dnJxcXV0V+flHrSXx8ePH8Zr9t27dwouGyLVqGCzTLYjntn///feySkFJurq64jDIzs729/efNEkGM9JaJRKJzp8/j2fZBwcH412WFL/+tb6+/syZM5ctWyaeVo8n9ctcRETEV199xePx1qxZ0/Y13fajjnFGpA+UQyZTeplV/eDHdBtZNH9KVaA/LzMdiUQfKopfVFj27ZoCRxuGw4Dan4IIHk9QVip9C+XkMw/C3377bfTo0VevXvXx8fH29mYymYrZgsDe3t7Pz49KpdLpdAcHh7t374qnNynG+/MIbW1tORxOYWFhZWVlQUGB/KrukouyoBMkN+fDCwHKgziK9PT0VqxYIb+dSslk8qRJk0pLS62srGbPnm1vb4+6IggRQrdu3Tp//ryRkZG+vr6mpmZ1dTWNRpNydZ4WZNKb/T7V/hZaThNIrfWvktU1TM/81D/uoXlolJarO/fRfdb/LWC6jSzzWceOvimqr5N8Mjf94dvF7g3JdwkeFyGEREQTI7do/pSml7Lc1VKGPucgbGpqWrduXUxMzKlTp27cuHHo0CGFVV1ZWens7EwQxIQJExITExctWqSwqjHJbYEJglBVVcVfQOfPn1dTU5NrEDo5OW3btm3kyJHyqwJIT66b80kSR5GpqamDg0OLSdYyRBCEgYHBgAED2Gx2eHg4Xqrbzs5OV1e3oKBAkUvMYHl5eRMnTuRyuU1NTa9fvw4ODp45c6aBgcHs2bODg4OlmekfFBQk895sMeP932vY2JEkxp2SVFXJVK1eJ89TTM0RWUXdepj+6k3moVH97z4x2LwbIVR5bN/ryQ5vl82sDgpoepUlrKku3eIp4jYiocT5olAo4rBLNiwXcT++CHgXkMlsxE/Ty5cvR40aJXnk/Pnzhw4dUkDVdDodr/aLjRkzJj1dNjNJ22n16tUIoXPnznG5XAcHh3Hjxh08eBAvv9vY2JiQkCCPSplM5qJFi6qrq/Fd3OcGPjUikWjTpk0IIQqFooB1HoRCId6xmclkyrUigUAQFhZ29epVgiAePXokPj5t2jSEUGhoqFxrb0G86reTk1N1dXV6erqfn5+jo6PkCTGNRtu4cWN8fHxzc3P7Sz59+jSJRCKRSHhtdLkQiSr89zJGWTCnjnkz17Xy5GFBRVlbT//3bH2Gow1jJA0vit3iP4ajTd11hf5DtNPnHIRPnz51cnKSPKKwIJwzZ45k2Hh7e4tXzVeMFStWIIQUswNfQkKCQCAgCOLPP//U09NbvXo1Pm5ubq6A2sFHFRUVsdnvFhBhs9mZmZl9+/ZVV1ePiopSTAPw6ppyWlDmo44ePYoQWrVqlfhIbW3tyZMnBQJBTExMUFAQ3rZChp4+fYrHBEyYMEH8l8c6sTqPpNTUVIQQmUw+d+6cbNvcQulO79Jv13bihc1FTOZ051ZTEP9XvHnVx0tRuM+5a5RGo+Xn57dnOy6Z09TUlLwYwOPxqFSqYqomCOL69etRUVEmJiaBgYF4j1A5ycjImDx5squr66VLl/ARZ2fn3Nzchw8fyq9S0FG7d+/GX6AIodTU1JMnTyYkJMTExMhq9eeP6pILdW3Uji9gC4XCZ8+e2dnZyXZIeXp6upubW0VFhbu7e2xsbIu9/fDqPBEREVVVVampqT4+Pg4ODg0NDdHR0atXr+7Tp8/IkSN9fX3T0tJEIhFCaNWqVeILK4GBgdnZ2bt3775w4YKXl5cM29ySSMh9mNK5dUFVzfupaGm18QSioaGzzZKjzzkIdXR0vv766yVLlqSkpChsvCjm5OR0+/ZtfJvP5ycnJ+O9weQtISHBwcFhwYIF1dXV+Le/vb39gQMHeP8smCQbTCZz6dKlo0aNSkxM1NfXF3f4kEikU6dOrV+/HrbA/ZQNGjRo8uTJCquua4PQ3t6+R48ef/31V3FxMT5CpVLxTIMVK1aUlJQkJCTIqq7U1NTJkydXVVXNnDnz5s2bbazwglfn8fPzS09PZzAYgYGBU6dOVVdXx0vzODs7m5qa7t27l8PhvHjxAm8vyuPxeDzewYMHly9fLqsGt4qXlSmsr6WOHd+5l6sNHNzGZERu5pPitcvqrl4UlBa3pzQ+6w075lb9rWvcjD8Ioby+VT7nIEQI+fv7r1ixIjo6Oi0tbcCAAfb29s7OipjUuXLlSgaD4eHh8d13302YMMHLy0uuS0sghF69erVgwQI3N7dnz56ZmZkFBQUxmUxPT08ej0en04cOHSoOZinV1NT4+vpaW1uHhYWpqqp6enrm5OR888034lNPW1tbFxeXc+fOyaQ6IBNpaWmRkZGRkZFpaWmKr33EiBE6Ojr5+fniKFIkCoUybtw4hJD4tJjFYrFYrEePHt2/fz83N1dWI7qTkpLw3PbFixffuHGj/XPbaTTa+vXrb9++XVVVFR8f7+PjY2VlVVZWxuFwEEL79+/fsWMHvq0YjfeT1a2Hqhgad+7lPecuIWt84BeAurrhtj2qZn1rfwounOb4ZqZL5bH93Ef3CT7//eeK2PWlW1YVzf+iwm9P5bF9pVtWvZk6jvvkQeda9RFd3Tf72RKJRM+ePYuNjX3z5o1cK3r79q2np6eKigpCSFtbm06nS65wn5KSMnToUPxvPX36dGkGLDQ1NQUFBeGLHyQSaf78+QwGgyCIhw8fOjk5aWtrJyYmzpo1iyCIurq6YcOGmZqaSv/ugPSWL1/u5eV16tSpU6dOeXl5LV++XPFtmDp1KkIIj2RRvCNHjiCE1qxZg+/OmTPH2NjYw8MjIiKixS4Nnfbbb7/hPfBWrVolFAo7+nI+nx8eHp6Tk8PlckNDQ1ks1osXLwoKChYvXvzw4UN/f//t27cfPXo0ICBAJq1tW9HiaVU/npSmhLK9WwvGWb8/Uqby5GHxc5ryc2sunmOtWcoYZVHgaFPsvbLuRhi/vBQ/KuJxC+dOjhzS56dBvfDLs4b322muzxhn3fgoTaq31xoIwm6MzWbT6XTc/YJPzkpLS99/Gp/PDwgIwBdC8NTGpqamDlUkEokiIiJoNBoO1MmTJ2dkZBAE8fLly1mzZuGDvXv3vnTpEg5CgiCuXr3aq1cvgiAqKys3bdpUWVkZFRV1/vz5oqKPb+YCZGv58uWxsbH4dmxsbJcE4XfffYcQ6qqBxPg8eMiQIfgu3pgMU1NTc3V1/f7773Nycjpd/rVr1/B1x7Vr17bYfqidWCxWWVnZzp07jx49Wl5evmvXLnwcB2Fzc/Pw4cM9PT0VEISCirJ8hwHcrGdSlSIUVJ76jvGfgfkOAxhjrAqchzLGWleHnCZa++MIaqvZ8THlh3a8dhuVb9//zTy3yh/8yvZvZ4yz3tfHwLu3Lg7Cx7Z9Bmmo5tv3f+3qIOLzpWreez7/IAwICDh69GirCdF9NTc3BwUFmZiYiE/18vLy2n4Ji8USr4praWkZHx/fzroSEhLw3GSEkI2NTUREBEEQFRUVGzduxBdatLS0fHx86urqBAKB5Bg58W/t0NDQ0tJSLy+vM2fOQBAq3qcQhA8ePEAIWVtbK75qgiCampqoVCqJRHr27N33u3g1VMmVH/AC4hERES2GerYtNDQUfxB8fHykaWReXl5ISMi+ffsIgsD/S/wdhARBJCcnq6qqKiAI625dez3Znuj4Se373v7fwuI1HjVXgtl3o4V17TjzFgq4z55UBR4tWuyOw6/VICxwHtb4h4xPCj//INyyZcuGDRvEk9sUo7Kycs2aNZWVlSEhIYGBgbKdtxcVFTVw4ED80R0zZkxqamr7X5uYmCj+OTx//vy2fx9kZ2fPnz8fPxlfdxQIBA0NDX5+fnjvVgqF4unpWVxc3HalOAj37t1bVVUVGBjY/tYCafD//tV8/fr13NxcfDs3N/f69euKb0xzc7OWlhaJROqSn6S5ubk6Ojp9+vRB783eq6qqioiI8PT07N27tzgRNTU1XV1dAwICPnopQby2mTi6Oufp06fu7u5Xr169fft2QECAeHbE4cOHxVtq+/r63rx5U5pa2qNkm1fZXhlsYy5s5DDGWHJSf+/Ea0UCPsNhAA5CCw1VVx2qqw7VpafmuyAcO7j22mXpWyjp8w9COp0eHx/f/hMgWbly5UpZWRmdTsdtkEmZ+Goc/qxaWVnhk7OOam5uDggI0NLSQgjp6uoGBATgWYCSWr3uyOfzg4KCxN8Xrq6uz58//2h1XC73woULCQkJz58/Dw4Orqur60SbQUcdOXLk2LFjHfqRJG+urq4IIcXHcFZWVq9evRBC5ubmkpMZ9PT0Fi5c+NNPP5WXlxMEgXcb3rNnj4ODg+S09yFDhmzfvj0pKen9ko8dO4bntp84cUKub0EgEFy6dKnT/a7tJ+LzC8YPY8fJYIJpQ9JdxhgrEbfx409tpR2i/FEDcRB69dJJt+2bbts3YYgZDkKGo030gT0nTpxgMpnXrl0LDAzs6LWe933+QfjLL79cuHBBcvyIYuAg3LVrV319veQqMx8lFAozMzPFd3NzcxsaGnJycsQnZ4aGhgEBAXzpeskZDIa7uzsucMSIEbj7RQyvPKKmpubt7V1RUUEQRHx8/LBhw/Dz//Of/yQnJ0tTO5C3ffv2CQQCxSwf0U4HDx5ECK1fv16RlT59+tTQ0BD9Pbedz+eLZ++Jo45MJjs4OPj4+KSmpuJxLuXl5RERER4eHnize4TQsGHDWpSM1zYjkUg//PCDAt4IPp198eKFXGtpfHw/f6SFoFYG/Wflh3YUb1jR6ZfjRWpa7xodZ1336sWbN29CQkLodHpiYmJcXJyUrf38g7BL4KFfiYmJTCYzJCSkQ5ccOBxO//79xXenT59+5swZfBFCW1t7//79DQ0NsmpnVFQUntdBIpE8PDxw5hEEUV5evnz58vz8fIIgHj9+jOeBIYT69et3+fJlef8sBdLz9fXNyspS8HpGbcPb8r2fKPLz+PFjvLrbtGnTuFxui0cLCgqCgoJq4EonAAAY50lEQVTmz58veZpoaGg4f/78y5cv19TUEATR3NyclJS0fft2Pz+/srJ3y4xxOJysrCx9fX0VFRWFLZeD97g/c+aMXGupPHH47X/ny6Qopvs4aTowOQ/uFYyzeT8IGaMHstYs4/F4x44dq6uru3fv3o4dOxITE6VsLQThJ+f9IHzw4IG1tbWnp2dJSYk8qqPT6XjOk76+fkBAgHjwN5PJ9PDwwN1EBgYGfn5+PB5P5g0A8sBisaKiojoxjl9+eDyepqYmiUQS/96Sq3v37uGR0gsWLGh7Mc/Gxsb4+PiNGzdKTvZVUVFxcHCg0+np6ekikejgwYOGhoa45TExMZ6eno8ePYqMjFTAG8GCgoLwe5FrLW/mulZfkEHWNv31Kt++f3ORVKvLVp05/uw/Vo9t++AgzB3RP2mEReGM8YKa6qNHj544cSI9Pf2XX345ffr0+xd3OgqC8JPD4XCMjIx++tuIESMeP34s7wTKzc11c3PDXwFOTk4pKSk+Pj44HalUqo+Pz5MnT548ecJms3/++WcFLyAOPhsTJkxACN26dUveFd2+fRtPK1qyZEmHLiK8ePHi6NGjEyZMkNzk1s7O7uDBg25ubnjBUhyEcmt76/CCFcbGxjLvj2nKfVniu545dUzBxOH59v1rr8qgF6H6wpnCOZOlL4eTllS02J0xyiL/PwMLJo6o/OE7YSNH+mLfJ+2OxkAeRCKReFE0oVCIEGr/KhWdY2lpeefOnZ9//nn79u1paWlffvklh8NRUVFZuXLlgQMHzMzMcnNzY2JiKBSKmpqaeIY+AB2yb98+Eokk7+UGo6Oj58+fz+PxPD09z50716G9+oYMGYJHx3A4nMTExOjo6JiYGCsrK4TQwoULL1++jOeBKJ6VlZWpqWlxcfFff/2F2yMTtdcuVQceJZp5SETgI9VnjvEyn5gcOYXIKp0utvF+spaTDHZgpjpOoDpOQCIh0dxM+tBqNbLwmS+x1k316NFj1d/69u2rmEpJJNKyZctycnImTZokEoloNFpmZmZISIiZmRlCCH/2+vfvb2hoeODAAcU0CXxOGAzGvn37xo8fj1dgGTt2LIvFknkt4eHhc+bM4fF469atk2bfdi0trRkzZgQFBRUVFeFuSYTQ6dOnN2zYgH+bKh4eMS7DJVu5j+5XBx4NeF1ytbweH8nj8Zf8yeCkJlWfO9npYkX1dU3Pn1KdJsimlQghsopcUxBBEHa569ev+/n5lZeXBwYGnjp1iiCIrm2Pjo4OHlkwe/ZsyTO/u3fvPnv2rKCgIDc3F0cjAB1CEATeLxrD1+1kW0VoaOiyZcvwvu143z7pyySRSOKxo7a2tuPHjz9//rz0xXaCzNcurzxx8N0O8v9G8Bprw0JEjZ1c3bTxYQpJXV3DrjttzQ1do11s7ty5KSkpGRkZbDZbV1f31atXlpaWW7ZsET9h6dKlCg4e/G0lueIGQmjKlClTpkxBCIlXmQGgo5qamgoLC/FtyVCUiR9//HHdunUikWjfvn10Ol22hYvt37/f2tp6+vTpciq/DTgIk5KSZFKaqLGRzyzAtyv5wgIeHyH0tund9g4kiirvz4zObUDR+CBZc8x4kpqaTNqpGBCEXay8vPzp06ebN2/W09P75ZdfevToQaFQNmzYIH6CeDcyheHz+QghtW71/2PQLbx582b37t34tmx3ojh27Ni3336L57Zv3rxZhiVj48aNw2NQe/bseeXKldraWplX8VE2NjbGxsYlJSUMBsPCwkLK0kTsepKqKiHgI4Tus3klfCFCqF4gevcwQYjq6zpVrqjxQYr+um1SNk/BIAi7WGhoaN++fQsLCwsKCkaMGIGnzXYtHIQtzggBkN6gQYOuXLmCb0tOaZeSv7+/r68vntu+fv16WRUradKkSa3eViQSieTk5HTz5s179+5JH4QqBoY4BRFCs/S1Fhv2QAjl8fj7i6oQQgRCFFPzDhUoqCjjMxn8okJhTRV1nIuUzVMwCMIutm3bu59O/fv379KG/AP3WcEZIegW9u7de/DgQRUVlZCQEHnvWNvlXFxccBCuXLlSyqJIFArVcSIn9fdWH1VR19AYYtvOovisonL69ubsP5GqKiEUIESqvXDGYPMukrqGlI1UGBgsA1qCIATyQKVSR40aJb47evRoPHy0Q/Ly8jIzM/FtPp9/69atyspKNTW1a9euKSAFCwoK8C/Xq1evhoSENDY2yrvGFmR7mdBw216yBnWAhqqZ2rszIi0yaYSWOllT04ju387pE/yiQtbS6bEp9+q5jSIOm+Bx87hNf1wNLf6/Ba1ut/tpgiAELbU6WAYAKZmamgYEBIjvnj17Fq8C2iFJSUk3btzAtxsbG/Ho0IcPH86bN09mDf0wGo1mamqKEIqMjBQKhZ2em9Fpw4YNMzAwKCoqEo85kgalt5nZ/8LnWNIm9DJCiIQQMtfpuX2gmdEef2q7ZwGW7VgvamgILqmtFLybVfKQzU2srG0uyK+5fE76RioGBCFoCc4IQTdCJpMVP5LZxsZm6NCh9+/fV3C9ZDLZ0dERyW4ShZqldd/oNOP9x3QXr+g5d4nB1j39Yh5ofzGjnS9vLshrZjIIQvT+QyIetz7skkwaqQBwjRC0BKNGgfwIBIKwsDAKhTJ16tRbt26Zm5t/8cUXHSohOTl5165dCKGmpib5tPGDysvL1dTUnj175uTklJ2d/fXXXyu4AQihb7/9du3atTgOpRQfH19QUODs7GwzaeqJ+08WL/5GvNFpOzX/9YpEVsGzQYNK63pSyAihl43NY3poIIREXI6ovpbcU1f6psobBCFoCc4IgfyQyWRnZ+fz589bW1uz2eysrKwPBWF4eHhRUdE333xz4sQJOzu7BQsW4OMWFhZTp05FCHE4nKioKMU1HSFjY2M5jUptp8rKys2bNz9+/BjfnTZt2vHjx8VbbXfUpEmTcnJyampq7ty5o62tzWazO1wEmYz+XrTARYfaW/XflxVFhDTrtCkSdI2CliAIgfyQyWQqlUoQRElJCY1Gq66u/tAz3dzcSktLRSJRXV2d5BLYffr0cXZ2dnZ2Hjt2rEKa/AkhCEJyhA6XyxWJWumWbL/x48fn5OSEh4ezWKxXr1519OXqNsMI/rs5+IM1Ve201O201MVDb8i6umTtHtI0T2EgCEFLMFgGyA+Xy71x44aRkdGAAQMKCgramA9HpVIdHR0LCgpOnjz58uVLfvcZgihXAoGA9TcpV+f5/fff09LSJk6ceOHCBU9PT2dn546WoGreT2PocBKllZ5FsiZVd8VaaZqnSNA1ClqCa4RAfjQ1Ndeufff92HafXkxMTFlZmYuLy8WLFwcPHox/mbm6uopPiahU6qlTp+Td4E9NaWmpePJxXl6eNEWJ101ECFlaWnauEOPDAaylM7b34Zn83S86SYcqUNNQtxupu7ALrqF2DgQhaAm6RsGnYO7cufiGp6en+CCNRhPfVlVV/fLLLxXdrK5mbm5+9epVfLur1riRRDEyMQ+P0zi2n5N4m6SugUREXy2ku3y17govpPDpJZ0GQQhagiAEALQTn8+vamrudeRUY+0+XlFhDx1dVfO+3SgCMQhC0BIEIQCfJjU1NcnVeYYPH66lpdWF7UEI/frrr/n5+e7u7v/73/80NDTodLpqd0tBBINlwPtgsAwAnyYdHZ2LFy+K7544caLL1yieN2+evr6+jo4Ol8utrq7upj+gIQhBSzBYBgDQThcvXqRSqWQy2dTUdPjw4W/evOnqFnWGyr59+7q6DeDTUlZWZmVlNW3aNG1t7a5uCwCgFVFRUXfu3LG0tAwODu7fv38XflRVVFT09fWNjY0HDhzYt29fKyurrmqJNEgEQXR1G8Cn4tq1axYWFvgiRH5+/t27d8Uj3QEAn47a2tp79+6Zm5uXlJRYWFh0enEZgEHXKPjHw4cPGQwGvl1WVpaQkNC17QEAfEhOTo69vb2KSvdYw+wTB0EIAADdzKFDh/r161dcXPzq1ausrKyubk63B12j4B/e3t537941MjJCCNXX19NotJs3b3Z1owAAQL7gjBD8C51OT0lJSUlJOXPmTFe3BQAAFAGCEAAAgFKDIAQAAKDU4Boh+AebzVZVVdXQ0EAI8fl8Doejq9sNdpcGAABpQBACAABQatA1Cv5FvP2pUCjs2pYAAIBiwO4T4B8JCQl//fWXgYFBfn6+hoaGi4vLyJEju7pRAAAgX3BGCP7h6uo6ceJEkUjE4/Fyc3MNDQ27ukUAACB3EITgH8+fP4+NjZ01a5ZQKPT29k5JSenqFgEAgNzBYBnwj/v37xcXFw8aNEhdXT03N3f69OkUCnSeAwA+cxCEAAAAlBp0jQIAAFBqEIQAAACUGgQhAAAApQZBCAAAQKlBEAIAAFBqEIQAAACUGgQhAAAApQZBCAAAQKlBEAIAAFBqEIQAAACUGgQhAAAApQZBCAAAQKlBEAIAAFBqEIQAAACUGgQhAAAApQZBCAAAQKlBEAIAAFBqEIQAAACUGgQhAAAApQZBCAAAQKlBEAIAAFBqEIQAAACUGgQhAAAApQZBCAAAQKlBEAIAAFBqEIQAAACUGgQhAAAApQZBCAAAQKlBEAIAAFBqEIQAAACUGgQhAAAApQZBCAAAQKlBEAIAAFBqEIQAAACUGgQhAAAApQZBCAAAQKlBEAIAAFBqEIQAAACUGgQhAAAApQZBCAAAQKlBEAIAAFBqEIQAAACUGgQhAAAApQZBCAAAQKlBEAIAAFBqEIQAAACUGgQhAAAApQZBCAAAQKlBEAIAAFBqEIQAAACUGgQhAAAApQZBCAAAQKlBEAIAAFBqEIQAAACUGgShLOXl5ZWXl3d1KwBQUq9fv2axWF3dCtD9kAiC6Oo2fD6MjY2XLl168uTJvLy8jIyMefPmUSgUeVSUmZlZVFQ0Y8YMGZbJ5/Pj4uLy8/MNDQ0nTJjQp08fyUebmppiYmJoNNrw4cNlWCkAMjRixAhLS8vw8PDi4uKUlBR3d/eePXvKo6LCwsLHjx9Pnz5dU1NT5oULhcJbt24RBDFkyBAbGxuEUFpaWklJSYun6erqurm5ybx2JUUA2TEyMtq0aRNBED/88ANCiM1my6miTZs2mZiYyLDAFy9eWFhYaGlp2djY6OjoqKurBwUF4Ydqa2sDAgLMzMwQQrNmzZJhpQDI1vDhwxcsWEAQxK+//ooQevHihZwqunz5MkLo7du38ij82LFjGhoaCKEDBw7gIwsWLND7NwqF4uDgII/alRN0jcqFl5cXm83W1taWU/mHDx/Ozc2VYYErV64cOnRoaWlpdnZ2SUmJq6vr+vXrq6urEUJz5sy5cePG5s2baTSaDGsEQH6mTZvGZrOtra3lVP6iRYuqq6t79+4t85KZTOa+fft27doleTA8PLxaQn5+voaGxuzZs2Veu9KSS8cdqKyszM/Pd3R0JJPf/dSoqKh48OABm802NTWlUqmGhoYDBw78aDklJSUPHjzg8XgjRozAnSTY27dvS0tLx48f39zcnJKSMnbsWB6Pl5SUJBKJXFxcTExMhEJhampqSUnJkCFDbG1tP1pRbGwshULBya2pqfnVV1/FxMTk5eWNHj367t27KioqCKErV6508s8BgGLV1dVlZ2c7ODhQqVR8pL6+Pi0trbq62tDQ0NDQUE1NrT2fi7q6utTU1JqamkGDBo0ZM0Z8vKqqKjs729nZWV1dPS0tzcLCQldXNykpqaamZuTIkVZWVgihZ8+e5eTkmJmZOTk5ib8H2kYQhKenZ//+/bdu3bpnz54PPe3cuXMikcjLy6s9ZYJ26epT0s/Kh7pG/fz81NXVe/bsaW1tjS8q+Pr6frS0wMBANTU1Y2NjGo1GIpF27NghfkjcNVpaWooQ8vb21tHRsbGx0dXV1dbWjo6OHjVqlKmpqYWFBUJo586dHX0j8+bN09HRqa2tlTxoZ2cHXaPgU/ahrtHQ0NCePXtqampaW1vjq4bz5s37aGmxsbG6uro6OjpWVlZkMnnmzJkikQg/JNk12q9fv6+//rpPnz4WFha9e/cmk8lBQUFLly7V1dW1sbEhk8lTpkwRCoXtaX9ISAiJREpLS+Pz+Uiia1QSj8fr3bv3mjVr2vk3Ae0BXaNyFxkZ6evru27duurq6pcvXzY2Nqqrq3/0VRkZGd7e3l5eXsXFxQwGY+fOnUePHs3Ly2v1yXfv3n38+HF2dvbr16+1tLRmzZq1du3at2/f5ufnr1271t/fv6ampj1NjYuL8/X1HTt27KNHjyIjI3V0dDr2VgH49KSnp69YsWLq1KmVlZUvX76sq6uT7Fz5kOrq6kWLFo0dO7a4uDgnJycsLCwqKuq3335r9cm//vrr5cuX8/Pz37x54+Li4uXlZWxsjC80XLhw4e7du0lJSR+tsbS0dNu2batWrXJ0dGzjaT///HNpaemGDRs+WiBoPwhCuTt79iyNRvP398cdjO30yy+/kMnkrVu31tfX19TULFmyRCgUxsXFtfrk9evXW1paIoR0dXUdHByGDBmyYsUKEomEEHJzcxMKha9fv25PpYWFhdnZ2WVlZQRBVFRUtL+1AHyygoODNTQ0goKCxN2k+KPRtoSEhPr6+q1btzY1NdXU1EyZMkVPTy8mJqbVJ8+ePXvixIkIIQqF4uLiQhDEkSNH8O9dV1dXhFB+fv5Ha9ywYYOKisrhw4fbftqpU6dmzJghv8ufygmuEcpddnb2xIkTOzqPgsFgCASCfv36SR4sKir66AtbnG6qqakhhHBPy0etXr169erVIpFo69aty5Yta+f1RQA+ZdnZ2VZWVrq6uh16FYPBQH/HmNiHPoCSyYo/cWL489jc3Nx2ddHR0ZGRkaGhoYaGhm08LS4u7vnz54GBgW2XBjoKglDuqFRqOy+Vt3hVr169Xr58KXmwPX2q0iOTyatWrQoICEhISIAgBN0dlUoVCASdeBVCKD8/X19fX3xQTtOCEUI7duxACG3YsEGyz/O7776Liop68uSJ+Mj333/v4OAwfvx4OTVDaUEQyt3AgQPT09NFIhGOw8LCwvacnw0ePPjChQtVVVXtGVwqvfT0dAsLCz09PXy3rKwM/f1dAEC3NnDgwLCwMDab3aNHD4QQh8MpLi7+aNfi4MGDEUJZWVmKmaWwc+dONpstvisSidasWePm5rZkyRLxwaysrN9//z0sLEwB7VE2EIRyt2LFimXLlm3ZssXb27usrGzjxo0ikeijr/Lw8PDz81u0aNEPP/zQr18/BoMRGxt76NAh/JtUHKsyIRAIli1bRhDE8ePHLSws8vLytm/frqen99VXXyGEKisrMzMzEUJsNruioiIhIUFNTQ1+k4Lu4uuvvw4ODv7vf/974MCB5ubmnTt3tmfs2OTJk4cOHbpx40Y1NTU7O7uSkpKoqCgvLy9TU1OEEP4Iy/AzuHjxYsm7AoFgzZo1I0eOXLhwofjgsWPHzMzM5s6dK6tKgRgMlpElCoWCR8SQyWQVFRV85WDp0qXHjx8PDw+n0WhTp0798ssv29PDaWJiEh8fr6qq6uTkZG5uPn369NLS0rq6Ovwok8k0NzeXYbPv3LljY2Mzd+7cIUOGfPXVV0ZGRgkJCSYmJgihR48eubm5ubm5FRQUPHjwwM3Nbf78+bKqGgAZavUDOHbs2NDQ0IyMDGtr67Fjx/bu3XvQoEHtKSouLs7W1nbWrFnm5uZOTk5//vlnfX09fpTJZKqrqxsbG8v17UhisVjh4eGbN29WVVVVWKXKA9YaVZza2lo8IUFNTW3Hjh0HDhxgsVhv3759/5kGBgbiHtGGhgYejyd5Cb24uHjQoEF79uzx9fXtUAOePn3aaq+sjY0N7jXicrllZWX6+vpyWqERgC7EZrM1NTUpFMrgwYPt7e3DwsKqq6tbnZKkpaU1dOhQfJvL5bLZbCMjI/GImObmZltbWzs7u/Dw8A41IC8vD6/W1ELfvn3lsUgN6IAuncWojPAH79KlSwRB0On0Vv9RFi5c2EYJc+fOtbS05HA4Ha3ayMio1eqSk5M7/34A6FY4HA6VSt29ezdBEFevXm31E2Fra9tGCYcPH+7Ro0dBQUFHq541a1ar1R05cqTz7wfIAlwjlLtbt25dvnx50aJF/fr1q62tPXz4sI6OzhdffIEQ2rZt2+rVq99/SRtL2jc2NtbW1kZHR3diJMuLFy+EQuH7xw0MDDpaFADdRWZm5pYtWzw8PCwtLXk83unTp/l8/pw5cxBCs2fPLi4ufv8lbXc/vnz5MjIycsCAAR1tycWLF3k83vvHoQOmy0HXqNxlZWWdPXs2OTm5sLBQV1d3+PDhBw8edHBw6Op2AaAUmEzm2bNn4+Li8IU9GxubnTt34l+iAGAQhAAAAJQajBoFAACg1CAIAQAAKDUIQgAAAEoNghAAAIBSgyAEAACg1CAIAQAAKDUIQgAAAEoNghAAAIBSgyAEAACg1CAIAQAAKDUIQgAAAEoNghAAAIBSgyAEAACg1CAIAQAAKLX/B8kedHbQRZm9AAACInpUWHRyZGtpdFBLTCByZGtpdCAyMDI1LjAzLjYAAHice79v7T0GIBAAYiYGCFAAYkUgbmBkZNAA0oyMbA4gmpmFWBqmTxBsFiMbA0SYA0IzsUNoZkLGs0NoZlzGY5iDZg8b2Hq4ckI01LUwLjcDI9DpGUyMTAlMzBlMTPJAkxOY5RhYWDOYWDgVWNkSWDkY2NgZOLk0mDi5Fbh5GLh5FXiFEnj5Mpj4+BP4ZBn4BTKY+GUYBAQTBIUymARFFISEGUREGUTEFMTENZjEJBgkJBkkpBgkpBmcQGHPxsjEzMLKxsbHLyAoxCvexQh0BQMsTo6IPD5g68PnAOJMFdh14M+dHfYg9qFv/QcqurjA4mpPfQ8URW4Ei+cKBBxQWvByL4jNqTTpwLvFoftBbAu13QfYzyeBxbkdnh64NccNLL7WfPKBrUmiB0BsOYE/+5lWp4DFw4wZDlSpSILFlweq7094Y7APxO5eIrf/xdWVYLsunVewF9tUDFa/VUnC3v6ZDFi9uNIH+/+H/cDsjS4+DiwrFMDsH/l+DlNjGsHqTc7/sF/PkQs285DqX/u4oEVgM88HTnSonzQFLP4vdJeD/IMOsPqi9EkOV87NAqtpOxbkENz1D8x2bdzjcJLtO5jtUbzUgWu7PzhMnPovO/yxkwWLS8x+5hA/XxMs3nn6tf2duOlg9zxYbbHfiskbzGZK/rx/8wk2sBr5h30HjFqywGwxAOTPlV8CI200AAAC+HpUWHRNT0wgcmRraXQgMjAyNS4wMy42AAB4nH1Vy25TMRDd9yv8A72ap+1Z9iVAqIkEhW1XCBWVHf8vzjipbyosbhIpnhzPnDOvvL78fP7x6/ez8lXJ58v955c/ZT5yfwU7/ecdEeW7EtHVY8kv5fbhw6dDuXu6uX2z3B2/HZ6+FpWiijtU+D325un4+Gbh8rFct42iSvcim4ga4dZG4ykzjJS7cu1bZ3OxwpuZidkCqAm0zaL3JvDI1RrJAmgJ1E24MTM8ane3FdDPQGcCtWvamI2aL5D1FNtrre6J7GquKzntLMe6cU0kuWtbIfspQ5BBtSeyNe/KC2SUu9cMX4nc4FQ2VWOnBZQp4/MWNQSak2koUr+CcjmmL2hnSEmvgVqtCLCUQ/qqrh40MtWktbaCasoClEGhZ/aldltSzToBKB2FyivhHFpXSB9ID5NOSdSckdUVMgvFW2+VEDNrq9R4iWyQpBsH1xji0QTiq9pzh094wq/dMrfEVLWvkDGih2mX0U+ibG2FFEKWgEQOIY435Ig1VkAGTTSesehoJwnivkqnCFyi8UQi2qAJYcvES04SfDZnyQoJgfGqlpjHYyoP1dqSbu8eqwJJFgixgxq4ASjRY5VLqYMkN1LwhWvDaC5DNwArugi6M4GVTZYzLDlGDRqqaW6F6qS+BMZIeTdhi5ympqS6yo/SqYWbcE4uugjdTrwaDIxrjiYUE/ZX5FaiOhD/QrM+ub8qNhiOWwVjXtX84XD/bpWeluvt8XC/L9d8yb5CDZ+2L8o86r4OLU370mMcdV6uA+D7/uLEz83e88dS91XE6eFy3xhczNi5cHGOi83B8Nkv1oPkJZ4BsAZ4WCajnIhxcUrAWJ8sUwXG18bVPVI/W6YUJNeGs8leRuocFb6YLxvupwJJxrDI9CyZUATkqUIyZQi4R5fBucPfRatzUpDLnuYMKHvh+tkylaJLJQPKVDrKnZapS0fx8ac6damcLXsP6NkyOWdXXfZQnt/+3PH96i/qeYhiuuWxngAAAgl6VFh0U01JTEVTIHJka2l0IDIwMjUuMDMuNgAAeJxNkjtvFEEQhP8K4SHNjfo5jz4ROXFkyC0H6EQGGCGH/vFU7yLo4Oama7tmvq7d58eXO/+8X54uz48vHx8unz5jye2x5O9+OdfScZf75eH7vydllZQZ2w/vF+7LhL1drU8l1XaDMgdZu2oXpcntpp03j92u0p1JPBUR99Wu3IlpWLtZd2OBi7ps4tVu3pfo0TG2nh3TWRt3oW12HLJVJ4S91jgMm+bKWvbaKfAklYZGc8e1ow/OSwj/JibtNnHYMG3Sh5N60m/TJQeHsuG4lObEHLh4LMbFsMtiKGjazltxObbD1XdqPAWGU+M9diIpvLBiHAjnnGur5GCIhUgxGTa6ZYEis/PjfGajmQrGH2P4YVTzTBraIMJgaVTjbEMIhjeSbXiiE+PfrrPzwDEpzulL+WxkcwGaGbI4umhjMGQhJ5d1Q7ITAuzzFAYkBDoQmpycCCKz0eX+d0BiG2mikVn5NhwKRHPOl5AQwiDLLwRREbeP7evb648vv19/BfXcPr2+feuygv9X7CGlGqGlmmHFR+Gl4hilkpil0lilstil8uAKM4ILjczgigPUyrODCxBrcCFiDi5ILMGFCdbCxBRcoCykMCGRgrRCCtEIKUAzpPKEFBwKqQGFFBhFa6HRkAKjFFpo2EJrQvv9D9/fIPqw5F0UAAAChHpUWHRyZGtpdFBLTDEgcmRraXQgMjAyNS4wMy42AAB4nHu/b+09BiAQAGImBghQB2JNIG5gZGTQANKMjGwOIJqZhVgapk+QQQFEszFAhDkgNBM7hGYmZDw7hGbGZTyGOWj2sIGtZ8FKwfRQSkO9CONyMzAC/ZvBxMiUwMScwcSkBnROArMqAwtrBhMLpwIrWwIrBwMbOwMnlwYTJ7cCNw8DN68Cr1ACL18GEx9/Ap8KA79ABhO/MoOAYIKgUAaToIiCkDCDiCiDiJiCmLgGk5gEg4Q0g4Qkg4QSg6QUg6QCg6Qig5Q0g5Qcg5Q8g7QMg7QsgxMz0ClsjEzMLKxsbHz8AoJCvCySUtIS4vcYgU5kgMVyl96uA0GGTAdAHLXu6Qdq39ftB7GvPgk6cOX/FjCbbx7vgZ3BB/aB2Ps7VA7wxXXZg9jSsQ0HVJ7tB7PrGRYf+PbmtR2IbS158cBytkSweMml7gMTdGwdQOwPzfv2Vy1hB7MDI9/s/3E3BcxmUXDZe+/ATbD6vpwW+0eh+mDxtovz7ATyq8BmRmxy3c9h5Q12jxb/lX0MHAJgN6vGN9tzn9ECsyO/sTkYrL0AVhMo/sB+/kVDsJvzg0wdUhNjweZfVE92WCzFDFbfJFTloBiSAGb7mE9xSPBqBOt11Wx2WL/zBNhejoBDDqWXtoHFeTedd+Cz9bABsU+e+uuQf+882PwjGR8cuqPegNXsY3vssDcuCGzmAQd+x8CPEHce/ijqmPw/CKwmfRqrY0h2C9g9wiJ3HbI+7wSzP0xa7FAUIQVmM73b4rB5ljlYb8TE/fuLayFm9p4/sd+g0Blszov+rP0rF08As1V+WR/I2AlRLwYAywGzAEvUSN8AAAOAelRYdE1PTDEgcmRraXQgMjAyNS4wMy42AAB4nH1Wy25TMRDd9yv8A7mal+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++wtX9tlGn9TaLQAAAnF6VFh0U01JTEVTMSByZGtpdCAyMDI1LjAzLjYAAHicZZI9axxBDIb/Ssoz7A36HI20pHLjyklvXIQjXWKH4NI/PtJuiAXhuGX0rqR59GqfHp5v+HK7PF6eHp7v7i+fv9zd099zPf87ni/rf7ucz1Z6o9vl/se/N+1JJWMeP71frjjE56TtyoPWctz2KwxBQVvblQYpiG87DqDJUsqcy7adBsIy37J+MlCm8FBxxkoBWVqCg/GqzgqKvO2SuWhaRYAAqxTwagODnUBo2+cAI7LKEVpZpGOqgFbfNdfKFBuKdN69ZCqWAi5q5xAGWbWGK580NMW4cg66HA7UXbbdBxsqlbRICLyqWJxoSz4W5aIRz2mSD5CIcJbkOXmmiJJJ8SHirBFm+oBUZpmCHXeh8QGY7EkzM2klzUwDc2IEdEqJRHTKYTyI5YiY3Q3OVgUyNxrGnlvay5a1JAVEFzyENCER02Wb6dOeI6tBbiCLV2WkyYh8ILvTqfB0qS6uuupqTQc5s9OeCeZ10xzKwlzM5se2ss5Yc+gkdc9COioX5u/YOwulQ7UF17SxYFFgHkyebh8fUC4o7SqJco1Wzdh0sh8OOE7SVaVI7qdm+UXkNuqUkCrH1Jofw6nlhylzu9u+vb3+/Pr79VfAqOPj69v3wRr4EaEGtWgGt8hCPiKC0BZhzBZRWIs4VoskvN0ugQ2GLLDR0ApsOOSBjYdmYANiCGxEjIEdKcdsTEyBDYo5sFHhCmpU6EHdIw7qJmFQd4mCGlWWNiiEoAYlQY0prW9IidCIchENyII7T3DDgeDuUXC3aAV3i4IbDGfXRoMS3B2a738ANQlisekNR0gAAAAASUVORK5CYII=", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# We can display the atom mapping in 2D by calling it\n", "lomap_mapping" @@ -769,10 +789,136 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 16, "id": "bbcfd2e2-a50e-4398-85d1-f80b01597720", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "application/3dmoljs_load.v0": "

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\n", + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# Visualize the mapping in 3D\n", "from openfe.utils import visualization_3D\n", @@ -792,30 +938,202 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "id": "c710a20e-2098-461f-8fa6-5e44b19ad6aa", "metadata": {}, - "outputs": [], + "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", + "INFO:\tFiltering bond breaks\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]))" + "kartograf_mapping = next(mapper.suggest_mappings(ligand_mols[0], ligand_mols[4]));" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "id": "56117a03-6503-4317-9364-27e343a4911e", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# We can display the atom mapping in 2D by calling it\n", "kartograf_mapping" ] }, + { + "cell_type": "code", + "execution_count": 15, + "id": "aaeca570-9d15-4136-9b76-5a7b9f57e2c2", + "metadata": {}, + "outputs": [ + { + "data": { + "application/3dmoljs_load.v0": "
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3Dmol.js failed to load for some reason. Please check your browser console for error messages.

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

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\u001b[39m\u001b[32mIn[13]\u001b[39m\u001b[32m, line 10\u001b[39m\n\u001b[32m 6\u001b[39m \u001b[38;5;28;01mfrom\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01mopenfe\u001b[39;00m\u001b[34;01m.\u001b[39;00m\u001b[34;01msetup\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;28;01mimport\u001b[39;00m LomapAtomMapper\n\u001b[32m 8\u001b[39m \u001b[38;5;66;03m# Create an MST network\u001b[39;00m\n\u001b[32m 9\u001b[39m mst_network = generate_minimal_spanning_network(\n\u001b[32m---> \u001b[39m\u001b[32m10\u001b[39m ligands=\u001b[43mligand_mols\u001b[49m,\n\u001b[32m 11\u001b[39m scorer=openfe.lomap_scorers.default_lomap_score,\n\u001b[32m 12\u001b[39m mappers=[LomapAtomMapper(),])\n\u001b[32m 14\u001b[39m \u001b[38;5;66;03m# Create a LOMAP network\u001b[39;00m\n\u001b[32m 15\u001b[39m lomap_network = generate_lomap_network(\n\u001b[32m 16\u001b[39m molecules=ligand_mols,\n\u001b[32m 17\u001b[39m scorer=openfe.lomap_scorers.default_lomap_score,\n\u001b[32m 18\u001b[39m mappers=[LomapAtomMapper(),])\n", - "\u001b[31mNameError\u001b[39m: name 'ligand_mols' is not defined" + "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" ] } ], @@ -879,19 +1220,13 @@ "mst_network = generate_minimal_spanning_network(\n", " ligands=ligand_mols,\n", " scorer=openfe.lomap_scorers.default_lomap_score,\n", - " mappers=[LomapAtomMapper(),])\n", + " mappers=[LomapAtomMapper(),]);\n", "\n", "# Create a LOMAP network\n", "lomap_network = generate_lomap_network(\n", - " molecules=ligand_mols,\n", + " ligands=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(),])" + " mappers=[LomapAtomMapper(),]);" ] }, { @@ -899,54 +1234,53 @@ "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": null, - "id": "f4e3ac10-236b-4ff4-a69e-600706288164", - "metadata": {}, - "outputs": [], - "source": [ - "# Visualize the MST network\n", - "from openfe.utils.atommapping_network_plotting import plot_atommapping_network\n", - "\n", - "plot_atommapping_network(mst_network)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "3335c478-ce7c-41a4-b36f-2e4c79581050", - "metadata": {}, - "outputs": [], - "source": [ - "# Visualize the LOMAP network\n", - "from openfe.utils.atommapping_network_plotting import plot_atommapping_network\n", - "\n", - "plot_atommapping_network(lomap_network)" + "We can plot out the different networks to visualize their structure and to see how ligands are being transformed." ] }, { "cell_type": "code", - "execution_count": null, - "id": "e1c09036-efc7-4bc4-9851-ac16992bf041", + "execution_count": 81, + "id": "78a2ef98-1d8a-41f1-94bf-c743c0d9afd8", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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hzz+srs3NNZcoPgAAAAAAYD+SqQAAAAAAVYJhLt0fkP19/SRJsfGxNufMZrMSExNKNX5RUlJTbdouJRcl56vAIsmytZ+b6/9/bA/w85f0/4lW5eHKfgP0zvRXFZcQr0kP3q3T584U26dfr96qW7uOduzZpUP/HCn0OjPJVEClYBhmyWSSDMfTqS69jxa01ZzZbFZ8UmKJ4woOCJS7m5umTbyjyOt8vH3sSqYq6L01J/dCslf+yld5z7m7Or5cOmrI1Rrau5/+/dqLlqSskkhJS9OWvbs16elH9cfHX+rVhx7T6q2bdS7PmOZS/lsIAAAAAACKRzIVAAAAAKBKcC3BH7jzSkm7kNAUGhxqkyTk4uKiwMAgRZXhVnllLSklWZIUERamYydPlPn4Vw28Um8+/4piYmN0+0P36MTpU3b1u/m6myRJP/xWeFUqSXJzYwkCqAxcXVxllCCRSvr/99Gw4BCdPHfW6pyLi4uCAwJLnEyUnJoik8lF7UdcVaL+ztSh5YXKh+8/+Zzef/I5m/N1wsJ1Zvl6SVKb64YUmMyVV3ZOjtZu36K2zZqrS9v2WrhqheWcq6trGUYOAAAAAAAKwkomAAAAAKBKKO0fkPcfOqi2LVurS8dONslUl7XrIPdKnuyza98edWjTTv169SnzZKrhg6/Sa0+/oKiYaLsrUklSWGgt9b+8j5KSk7V4+dIiry1tMhyAsuFWivfSPYcPqUOLVurR/jKbZKoubdqX6n102769Gnx5H7Vs3ESHjh8r8TjOsHXvbvl4eRd4btzw65WWnq75F98js7Kz7Rqzdq0wSbZbpJbm9QMAAAAAAPZxcXYAAAAAAADYw9fHp1T9f/1zoSTprttul5+vr6Xd3c1ND915b6nGrghz5/+o7Jwc3TNxipo1bmJzPiIsvETj3jBsuF5/5kWdizqv2+7/l92JVJI08tob5ObmpgVL/lBGZmaR15b29QNQNkrzu/jjkkWSpAfHT5R/vvfRJ+64u1Rxff7jXEnSW9OeVERoLZvz3l5e6tKmXanmKC+/rfxLj77zWoFfkpSYkmw5zsi68F4ZHBCg1k2aFTje4F59NKzvAKWkpWrDzu1W53gvBQAAAACg/PFYKAAAAACgSgi/WKWjpLbs2KYffv1ZN99wk36b9YOW/r1cOTk5Gtinv5JTUhQZHSWzYS6jaMveP8eP6aV3X9fz057UTzO+0fI1f+vE6VMKCghUu9ZtlJqWpsn/diyZoUfnrnr5iefk6uqqTdu26sZrrre5JiklWbPnfWfTbjKZNHL4DZKK3+JPKv3rB6BsFJSoZK8Nu7ZrzoL5Gn/dCK2Y+a0WrlqhnNxcDbm8j5JSU3UuJlpmc8neR9ds36JXPvtQT95xj9bM+kHLN63XyXNn5evtrfoRtdXrss7atHuXxj/xcInjr0zqhkVoyeeztOvQAR06fkznYqIV6Oends1aqGu7DsrKztajb7+mxItbvF5SuxSvHwAAAAAAsA/JVAAAAACAKiGsDP6A/MI7r+noyeO6+fqbdMsNI5WQlKhlq1boP599qBU//6FTZ+LLINLy8+OC+Tp89B9NHjNB3Tt31ZX9Bio+MUEH/zmsn37/1eHx6tauY9k+ceS1NxR4zZlzZwtMpurb43LVq1NXO/bs0uGj/xQ7V1m8fgBKrzTJVJL0xH/e1JFTJzT+2hGacN2Nik9K1OI1q/T6jI+15ftfdSKh5O+jH82do817dmnKTTere/uOGtq7n5JTU3Q+Jlrf/P6rfvlrSalir0xOR57Xf+d8pZ4dO6lf1+4KDghUTk6OzkRFavZvv+iLn7/XkQK2dA3nvRQAAAAAgHJnMgzDsPfivXv3qn379tqzZ4/ataucZbUBAAAAANXToX+OaMSkMeUydqP6DbTou1+0cNmfevSFpx3u37fH5frsnf/pvU8/0Odzvir7AKuBL979QL2793J2GHCSslpTYm2q9H5buUz3vPhsmY/bpF59rZk9T/OXL9F9Lz9f5uMXZPuPvys5NUX9J5bPvw2V0aa581UvPMLZYQAAAAAAUKU4uqbkUgExAQAAAABQamVR2ahWSKhMJpNVm5enp554cJok6a9VK0o0buMGDSVJ56OjShdgNUZlKqByiAgp3e9iWHBIge+jL9z3kCRp8epVpRrfXkH+AQoJDNS56OgKma+yCAsOcXYIAAAAAABUe2zzBwAAAACoEoICA+Xh7qGs7KwSjzFh9FgNH3yVNm3fqujYGNUKDVWvLt1VJ6K2Vq1fq8Urljk0XtfLOmtw/ys04uprlZaWpjUb15U4tuouPCzc2SEAkFSnlL+Ld4y6RSMGDdH6HdsVGRej8OBQ9e3STXXDI/TXxnVa8PdfZRRpwfx9fXX3zbdqQPeecnN108JVy8t1vsokNChYHu7uzg4DAAAAAIBqj2QqAAAAAECVYDKZ1Kp5C+05sE8O7FhvZf2WjWrdvIX69OilQP8A5eTm6sSpk/rmp+8164dvLde1bt5SV/YbaNeYI4dfr0NH/9FbH/5H8QkJJYqrrPj7+em20ePsuvaXRQt09vy5co7ogtrhEQr0D6iQuQAUrUHtOvLz8VVKWmqJ+q/eslltm7ZQ/249FOQfoNzcXB09fUozfpmnL36ca7muXbMWuqpvf7vGfPfrGXbPH+jnr/vHTdCpc+f06ucfafaC+Y7egl1uvuoa1a9dp9jr9h45rD/Xln81LpOk9s1blvs8AAAAAACAZCoAAAAAQBXSrlUb7d6/t8T9N2zdrA1bNxd7XesWLXXf7XfaNWbbft1KHE9Z8/fztzvuTdu3VlgyVfvWbStkHgDFM5lM6tiytdbv2KqSpKWu2b5Fa7ZvKfa6ds1baNrEO+wa05FkqtOR59VoSD+7ry+p0VcNV+9OXYq97ofFCyskmcqQ1KFlq3KfBwAAAAAAkEwFAAAAAKhC2rVqXSHzzF/0u+Yv+r1C5ipLZ8+fq1TJXZe0raDXDYB9OrZspXU7tpbrHD/8+Yd++POPcp2jPI2eep+zQ7DRsSXvpQAAAAAAVAQXZwcAAAAAAIC92rZq4+wQUALteN2ASoWknKqJ1w0AAAAAgIpBMhUAAAAAoMpo3qSZ3N3dnR0GHNSuJclUQGXSgaScKsfPy0vmyCOKPXVIGSmJMoySbNIIAAAAAADswTZ/AAAAAIAqw93NTd0u66z1WzY5OxTYwWQyqVnjpgoJDnZ2KADyaFKvvmrXCtP5mGhnhwI7dWnWSBnJccpIjlPMif1ydfeUb3C4fIMj5BsUJld3D2eHCAAAAABAtUFlKgAAAABAlXJFn/7ODgF2MgxDg/ryegGVjclk0tDe/ZwdBhzQu1ULq+Pc7EwlRZ3SuYNbdGTjIp3YuUoxJw8qPTmeqlUAAAAAAJQSyVQAAAAAgCqFZKqq5Yo+A5wdAoACDO3d19khwE4mk0k9WzYr8pqM5HjFnjygkztX6Z+Ni3X24FYlRp1STlZmBUUJAAAAAED1wTZ/AAAAAIAqpV6dumrZtLkOH/uH6huVXEhwsDq0aevsMAAUoHenrvLx8lJaRoazQ0ERTJI6Nm6oQB9vu/vk5mQpOfq0kqNPS5I8/QIvbAcYHC5v/2CZTDxfCwAAAABAUfjkDAAAAACocgb1G0AiVRUwqM8Aubiw9ABURp4eHhrY43Jnh4FiGJKuH3qdGncZpLAm7eQTFOZwMlRmSqLiTh3SqV1rdGTDIp3Zv1mJ508oOzO9fIIGAAAAAKCKozIVAAAAAKDKGXbFEH3y9Qxnh4FiDBs02NkhACjC9QOv1B+rVjg7DBTBZDJp+IBB8vTxl6ePv0LqNZc5N0dpiTFKjY9SanyUsjNS7R7PnJujlNizSok9K0ny8AmQb3C4/ILD5R0QKhMJsAAAAAAAkEwFAAAAAKh6WjZrri4dO2nbrh3ODgUFMJlMalC3vnp17eHsUAAUYVjfAaoVHKLY+HgZotpfZXRlz95qULuOVZuLq5v8QmrLL6S2JCkrPcWSWJWWGCPDnGv3+FlpScpKS1L8mSMyubrKNzBMvsHh8g2OkLuXT5neCwAAAAAAVQXJVAAAAACAKmnsjaNIpqqkDMPQ2BtHscUfUMm5u7lpwnUj9N6smc4OBYWYeMPIYq/x8PaTh7efgus2ldmcq/TE2IvJVZHKSk+xey4jN1cpceeVEnfeMu6lxCrvgFC5uLqW+D4AAAAAAKhKSKYCAAAAAFRJQ/oPUnBQsBIS4qmnUsl4enhoxDXXOTsMAHYYN/wGvT/nK5nNZmeHgjxMJpPqR9TRwO49Hern4uJ6MQEqXFJ7ZWekWRKrUhOjZeQ6ULUqPUVZ6SmKP3tUJhdX+QSG5qla5SuTyeTgXQEAAAAAUDWQTAUAAAAAqJI8PDw0+roR+mz2l84OBfkMHzJMgf4Bzg4DgB3qhoVrWJ/++mP1SmeHgjwMw9CkG24qdYU/dy8fBdVprKA6jWWYzUpPilNqQqRS46OUmZpkfzzmXMtWgtIeuXv5XEisCoqQT1AtubiyzAwAAAAAqD74lAsAAAAAqLLGjBilL+fOUXZ2trNDwUUmk0m3jR7n7DAAOODO0WNIpqpETJJ8vH10y9XXlu24Li7yCaoln6BaCmvcTjmZ6UpNiLqYJBUtc679/5ZmZ6Qp4dxxJZw7LpPJRd4BIfINjpBvcLg8fPypWgUAAAAAqNJIpgIAAAAAVFm1wyM0fuQYfTl3trNDwUXXDhmmls2aOzsMAA7o3v4yDe7VR8s2rHV2KJBkSLpv7AQFBwSW6zxunt4KjGikwIhGMgyzMpITLmwHGB+ljJQEu8cxDLPSEmOUlhij6ON75ebhZUms8gkKk6ube/ndBAAAAAAA5YBkKgAAAABAlfav8RP1w28/KS0tTYazg6nh3Fxd9cCUu50dBoASeOKOu/XXxnUyDN5JnclkMikkMEj/GnlLBc97obqUd0CIajVqo5zsTKVd3NYvNSFKudlZdo+Vk5WhxMgTSow8Icl0sWpVuHyDw+XpG0jVKgAAAABApUcyFQAAAACgSgsKDNIdt07S+59/5OxQarxbRoxS/br1nB0GgBJo07S5bhp8lX5autjZodRohmFo6sQp8vH2dmocbu6eCghvoIDwBjIMQ5kpCUqNj1JKfJQykuMcGMlQelKs0pNiFXNiv1zdPS2JVb5B4XJ19yi3ewAAAAAAoKRIpgIAAAAAVHkTRo/VnB/nKi4hnqoqTmAymeTp4am7J05xdigASuHRyXfq1+VLlZOb6+xQaiSTyaQGtevo1uE3ODsUKyaTSV7+wfLyD1Zow1bKzclSWkK0UuKilJoQqdysTLvHys3OVFLUKSVFnZIkefkHW5KrvPyCqVoFAAAAAKgUXJwdAAAAAAAApeXj7a3HH5hKIpWTGIahB+64W6HBIc4OBUApNKhdR/eNneDsMGoswzD00gNT5e5WuZ9/dXXzkH+teqrTsrOadb9KjToPVK3GbeUdWEtyMBkqIzlesScP6uTO1fpn42KdPbhFiZEnlZOVUT7BAwAAAABgh8r9yRwAAAAAADsNH3yVFi9fquVr/nZ2KDVOp/Ydddvosc4OA0AZ+Pf4yVq8ZpUOHj/q7FBqnNFXXaPBvfo4OwyHmEwmefkGyss3UKH1Wyg3J1tpiTFKjY9SanykcjLT7R4rNydLydFnlBx9RpLk6Rt4sWpVhLwDgmUy8VwwAAAAAKBikEwFAAAAAKgWTCaTnn/kSW3esVUpqalUqaoAJpNJ7m7ueuXJ5+Tq6urscACUAU8PD/3niWc1/N4pMpvNzg6nRjCZTAoLDtH0e//t7FBKzdXNXf6hdeQfWkeGYSgrPcWSWJWeGCvDsP9nKjM1UZmpiYo7fVgurm7yCQqTb3CEfIPD5e7pXY53AQAAAACo6XicBwAAAABQbYSF1tIzDz9OIlUFMQxD/77zXjVp2NjZoQAoQx1bttYD425zdhg1hmEYeuuRJxXkH+DsUMqUyWSSp4+/Quo1U4P2vdW819Wq17aXguo0kbuXr0NjmXNzlBJ7TpFHdujo5iU6tm25oo7tVWpCtMzm3HK6AwAAAABATUVlKgAAAABAtXLtkGFa+vdyLVu1wtmhVHudO1zG9n5ANfXQhNu1ZN0a7T96xNmhVHu3DBte5bb3KwkXVzf5hUTILyRCkvJUrYpSWmKMDAeSorLSkpWVlqz4M0dkcnG9WLUqXL7B4fJwMFELAAAAAID8SKYCAAAAAFQrJpNJrzz5vP45flTHTp5wdjjVkslkUq2QUP3nxTfY3g+opjzc3TXzpTd09d2TlZiSTMW/ctKhRSu98u9HnB2GU3h4+8nD20/BdZvKbM5VelKsUuOilJoQpay0ZLvHMcy5So07r9S485Ikd29f+V3cDtA7oJZc+HcKAAAAAOAgkqkAAAAAANWOv5+fPnz9Pd38r9uUmpZKEkAZMplMcndz1wevvaOwWrWcHQ6ActSwTl19Nv1VjXn0QUnivbQMmUwmhQQGaebLb8rb08vZ4Tidi4urfIPC5RsULknKzkhTasLFqlUJ0TLn5tg9VnZ6quLTjyr+7FGZXFzkE1jrwtjB4XL39pPJZCqv2wAAAAAAVBMuzg4AAAAAAIDy0LhBQ7334uuSJJP4w2lZMQxDLz/5nDq0aefsUABUgD6du+qlB6aSSFWGTCaT3FxdNfOlN1Q3LNzZ4VRK7l4+CqrdWPXa9FDznlerQYc+CqnfQp6+gQ6NY5jNSo2PUtSxPTq2bbmObVmmyCM7lRJ7zqEELQAAAABAzUJlKgAAAABAtdWnRy89fv/Dev1/7zo7lGpjyrjbdO2QYc4OA0AFmnj9Tdp/9IjmLJjv7FCqBcMw9MbUJ9StXQdnh1IlXKou5RNYS2GN2yonK0Op8ReqVqUmRMmck233WNmZaUo4f1wJ549LJpN8AkLlGxwu3+AIefj4U7UKAAAAACCJZCoAAAAAQDU3YfRYRcfGaMa3s5wdSpU34urr9PBd9zs7DAAVzGQy6eUHpikuIUF/rF7p7HCqvCfvuEe3DBvu7DCqLDcPLwVGNFRgREMZhqGM5PiLyVWRykhJsH8gw1BaYozSEmMUfXyf3Dy8LIlVPkFhcnVzL7d7AAAAAABUbiRTAQAAAACqNZPJpKl3P6DMrCzN+XGus8Opsq65cqheevwZubi4ODsUAE7g7uamD595UXc8/4T+2rDO2eFUWQ/fdrvuH3ebs8OoNkwmk7wDQuQdEKJajVorJztTafHRSo2PVGpClHKzs+weKycrQ4mRJ5UYeVKSSd4BwfINjpBvcLg8fQOpWgUAAAAANQjJVAAAAACAas9kMunJB6fJZDJp9rzvnB1OlTN8yDC99tR0ubq6OjsUAE7k4e6uz6e/prteeFpL169xdjhVzrSJd+jh2253dhjVmpu7pwLC6ysgvL4Mw1BmauKFxKr4KKUnxTkwkqH0pDilJ8Up5sR+ubp7XqxaFS6foDC5uXuW2z0AAAAAAJyPZCoAAAAAQI1gMpn0xANT5enhqS+++Uomk0mGYTg7rErvpuHX64VHnyaRCoAkydPDQ59Nf1X3v/K8Fq5a4exwKr1L/9Y8ecc9VKSqYCaTSV5+QfLyC1Jog1bKzclSWkKMJbkqJyvD7rFyszOVFHVKSVGnJEle/sHyDbqQXOXlH0zVKgAAAACoZkimAgAAAADUGBe2/LtfdWvX1iv/eUtms5mEqgJc+uP/g/+6R3dNuJ0/EgOw4uHuro+ffUlvzPhUH86dTXJqIUwyyd3NTe88+rRuGnyVs8Op8VzdPORfq678a9WVYRjKSktWSnyk0uKjlJYUKznwM5yRHK+M5HjFnjooFzd3S2KVb3C43Dy8yvEuAAAAAAAVgWQqAAAAAECNM2bEKDVr1EQPPv2oEpOTnB1OpePl6aU3n3tJV/Yb6OxQAFRSrq6ueurOe9W6aTNNe/MVZefkyBAJVXmFhYToy5ffVKfWbZ0dCvIxmUzy9A2Qp2+AQuu3kDknW6mJMUqNj1JqfKRyMtPtHsuck63kmDNKjjkjSfL0DbyYWBUhb/9gmVxcyus2AAAAAADlhGQqAAAAAECN1L1zV837Yrbue3KqDh/9x9nhVBr1atfRR2+8pxZNmzs7FABVwE2Dr1LT+g00+ZnHFBUX6+xwKo3OrdtqxktvKCK0lrNDgR1c3NzlH1pH/qF1LlStSk+5mFgVpfTEGBmG2e6xMlMTlZmaqLjTh+Xi6iafoDD5BkfINzhc7p7e5XgXAAAAAICywmMxAAAAAIAaq37devr24y81Yti1klRjt7O7dN9X9O2vHz6fTSIVAId0at1Wiz/9Sv26dpfEe+lt19+kH//zEYlUVZTJZJKnj79C6jVTg/aXq3mvq1WvbS8F1Wkqdy9fh8Yy5+YoJfacIo/s0NHNS3Rs23JFHdur1IRomc255XQHAAAAAIDSojIVAAAAAKBG8/Xx0atPT9fQgVfquTdfVkwNrKzi5+urpx96TNcNvbrGJkEAKJ2I0Fr67s339c3CX/XCR+8rLSPD2SFVuLph4Xr3sWfUt0s3Z4eCMuTi6ia/kAj5hURI6qCs9FSlJkQpNS5SaYkxMhxIispKS1ZWWrLizxyRycX1YtWqcPkGh8vDwUQtAAAAAED5IZkKAAAAAABJA/v004I58/T6f9/Rr4sXymQyyTAMZ4dVbi7d3xV9+mn6I08rrBYVVACUjslk0vhrR2hgt5565J3XtHrr5ur/XirJkDThuhv1zF33yc+HhJjqzsPbVx7eTRRcp4nM5lylJ8UpNT5SqfFRykpLtnscw5yr1LjzSo07L0ly9/aVb9CF7QB9AmvJxdW1vG4BAAAAAFAMkqkAAAAAALgo0D9Arz39goZdMURvfPCujp86We0SAS7dT3itME2750ENH3wV1agAlKn6tevouzff13d/LNAbMz9VTHycJemourj0XtqqaTO9cO9DVKOqoVxcXOUbFCbfoDCpiZSdmW5JrEpLiJY5N8fusbLTU5WQflQJ547K5OIi74Ba/1+1ytuPf6sBAAAAoAKRTAUAAAAAQD4DevdVnx69NH/R7/pg5ieKiompNklVAX7+unviFI0ZMUqenp7ODgdANWUymTRu+PUaMWiIvvj5e33w7Wylpqc5O6xSu/RvQb3wCD12+1268cqhcnFxcXZYqCTcPb0VVLuxgmo3lmE2Kz05TqnxUUqNj1JmaqLd4xhms9ISopSWEKXoY5K7p498LiZW+QbWkoubezneBQAAAACAZCoAAAAAAArg5uamUdeN0LVDh+mbH7/Xp7O/VEpqSpVLqroUr5enlyaPGa9JY8bL38/P2WEBqCF8vL314K2TNP7aG/Xhd7M085d5ysrOrrLvpcH+AXr4tikaf90IebiT0ILCmVxc5BNYSz6BtRTWuK1ysjIsiVWpCVEy52TbPVZ2ZpoSzx9X4vnjkskkn4BQ+QSHyy84Qh4+/lStAgAAAIAyRjIVAAAAAABF8PL00pRbJ+qWESO1YMkiffvzPP1z/Kizw7Jbvdp1NObG0brpmusUFBjk7HAA1FAhgYF69u4HdPfNt+q7Rb9p1m+/6Fx0lLPDslu7Zi00acRI3XDFEPl4ezs7HFRBbh5eCoxoqMCIhjIMQxnJ8ReTqyKVkZJg/0CGobTEGKUlxijm+D65eXhd3A4wQj5BYXKlahUAAAAAlBrJVAAAAAAA2MHP109jbxytMSNGaevO7frul3la8vdy5ebmOjs0GyaTSQN799WYG0erT/debEEFoNIICwnRg7dO0r1jxuuvDev09a8/6+8tGyVJJkmVqVaVh7u7rr9isCbeMFKdW7el+g/KjMlkkndAiLwDQlSrUWvlZGcqLSFaqXGRSk2IVm52pt1j5WRlKDHypBIjT0oyyTsg2JJc5ekbyM8tAAAAAJQAyVQAAAAAADjAZDKpW6cu6tapi2LiYrVy7WqtWPu31m7aqKzsLKfF5ebqpp5dumlgn34a1HeA6kTUdlosAFAcN1c3XdWnv67q018nz53Vn2tXacm6Ndqwa7vMZrPT4vL29NIVPXppSO++Gtyrr0ICA50WC2oON3dPBYTVV0BYfRmGoczURKXGRyo1PkrpSfGyP83QUHpSnNKT4hRz4oBc3T3lGxR2oWpVcJjc3D3L8zYAAAAAoNogmQoAAAAAgBKqFRKqUdeN0KjrRighLlq///SVNu0/pH3HTuhcTFy5V1ipX6euOne4TFf0HaC+PXrJz9evnGcEgLLXsE5d/WvUGP1r1BglJCdpxab1Wrpurbbs3aUzUZHlOreLyaRmDRupV8fOGtq7n3p37iIvDxJO4Dwmk0lefkHy8gtSaINWys3JvlC16mJyVU5Wht1j5WZnKin6tJKiT0uSvPyC5BscId/gcHn5B1O1CgAAAAAKQTIVAAAAAABlITNV3du0VPc2LSVJaRmZOpeUruhsN+09eECHjh5RVHSUEpISHR7a389fEWFhat6kmdq1bK22rdqobavWCvQPKOu7AACnCvIP0I1XXqUbr7xKkhSXmKAlC+dq//HjOnT2vI5HxSg2OUWpmfZvg3ZJSGCg6oSFq03T5urYsrU6tmylds1aysfbu6xvAygzrm7u8q9VV/616sowDGWlJVsSq9KSYiXD/tTtjJQEZaQkKPbUQbm4ucs3KPziloDhcvPwKse7AAAAAICqhWQqAAAAAADKQFpSrNWxj5enerToqFqNWlu1Z2VnKyYuVtExMYqOjVFGZoZyc3OUk5srVxdXubm5ydPDQ2GhtRQWWku1QkLl6UmVFAA1U5C/vzo3rKPODetYtdfvMlgxCQmKiotRVFycMrOylJObI7PZLFdXV7m5usrHy1vhIaGKqBWmsOAQubuxFIqqzWQyydM3QJ6+AQqp30Lm3JyLVauilBofpezMNLvHMudkKznmjJJjzkiSPH0DLYlV3v4hMrm4lNdtAAAAAEClxwoCAAAAAAClZBiG0hNjbNq9A0Nt2jzc3VU3orbqRtSuiNAAoErLTk+1aXPz8JKvj698fXzVqG49J0QFVA4urm7yC60jv9A6MgxD2ekpFxKrEqKUlhgjw2y2e6zM1ERlpiYq7vRhubi6ySco7GJyVYTcPaneBgAAAKBmIZkKAAAAAIBSys5MU05WhnWjySRv/2DnBAQA1URmWrJNm4ePvxMiASo3k8kkDx9/efj4K7heM5lzc5WeFKPU+CilxEcWmJhYGHNujlJizykl9pykC79zlqpVAaFycXEtr9sAAAAAgEqBZCoAAAAAAEopPTHWps3LL0gurnzsBoDSyEpPsWnz8PZzQiRA1eLi6irf4Aj5BkcoXB2UlZFq2Q4wLSFahjnX7rGy0pKVlZas+DP/yOTiKp/AWpaqVR7evuV4FwAAAADgHKzqAgAAAABQSulJtslUPgVs8QcAcExWOpWpgLLg4eUrjzpNFFyniczmXKUnxV1MropUVgEV4ApjmHOVGh+p1PhISbvl7uVrSazyCQwlkRwAAABAtcAnGwAAAAAASimtgMpU3gG1nBAJAFQvWWm2lak8qUwFlIqLi6t8g8LkGxQmNWmn7Mx0S2JVWkK0zLk5do+VnZGqhHPHlHDumEwmF3kHhl6siBUuD28/mUymcrwTAAAAACgfJFMBAAAAAFAKOZnpys5ItWn3DghxQjQAUH0YhlHwNn9UpgLKlLunt4JqN1JQ7UYyzGalJ8dfrD4VpczURLvHMQyz0hKilZYQrehjkpuntyWxyjewllzc3MvxLgAAAACg7JBMBQAAAABAKaQlxdm0efoGypU/GAJAqeRkpssw51q1ubi6ydXd00kRAdWfycVFPoGh8gkMVVjjtsrJyrhQtSohSqnxUTLnZNs9Vk5muhLPH1fi+eOSySTvgNCLWwKGy9MngKpVAAAAACotkqkAAAAAACiF9KQYmzafwFAnRAIA1UtWerJNm4ePPwkYQAVy8/BSYERDBUY0lGEYykiJv7glYJQykuPtH8gwlJ4Yo/TEGMUc3yc3Dy9LYpVPUJhc3TzK7yYAAAAAwEEkUwEAAAAAUAppibE2bd4BJFMBQGllphWwxZ+3nxMiASBJJpNJ3v4h8vYPUa2GrZWbnWWpWJUaH6Xc7Ey7x8rJylBi5EklRp6UdGF7ZN+gi1Wr/IJImgQAAADgVCRTAQAAAABQQrnZWcpKs62c4k1lKgAotcIqUwGoHFzdPRQQVl8BYfVlGIYyUxMtiVXpSXGSDLvHSk+KU3pSnGJOHpCru4clsconOFxubO0JAAAAoIKRTAUAAAAAQAmlJdlWpfLw9uOPfgBQBrKoTAVUGSaTSV5+QfLyC1Jog5bKzclWWkL0xeSqSOVkZdg9Vm52lpKiTysp+rQkycsv6OKWgBHy8g+SyeRSXrcBAAAAAJJIpgIAAAAAoMTSC9riL7CWEyIBgOqnoMpUnlSmAqoEVzd3+deqK/9adWUYhrLSki2JVWlJsZJhf9WqjJQEZaQkKPbUIbm4ucs3KMySXOXm4VWOdwEAAACgpiKZCgAAAACAEkovoDKVTwBb/AFAaeVmZyk3O8u60WSSu5ePcwICUGImk0mevgHy9A1QSP3mMufmKC0hRqkJkUqNi1J2ZprdY5lzspUcc1bJMWclSZ6+AZbEKm//EJlcqFoFAAAAoPRIpgIAAAAAoATMOdnKSEmwafcOJJkKAEors4CqVB7efmzvBVQDLq5u8gutLb/Q2jKaGsrOSFVqfKRS46OUlhgjw2y2e6zM1CRlpiYp7vQRubi6ySewlnxDIuQbFE7yJQAAAIASI5kKAAAAAIASSE+Ot2lz9/SRu6e3E6IBgOolKy3Fps3D288JkQAoTyaTSR7efvLw9lNw3WYy5+YqPSnWklyVlW77XlAYc26OUuLOKyXuvKQL7xm+wRHyDQ6Xd2CoXFxcy+s2AAAAAFQzJFMBAAAAAFACaYkxNm1UpQKAslFQAgXJVED15+LqenHbvnBJUlZGqtLio5QaH6XUhGgZ5ly7x8pKT1FWeoriz/4jk4vrhapVF8fm/QQAAFRXhmEoJj5ekXExioyJUVRcjM7HxigmLk5Z2dnKyc1VrjlXbq6ucnNzk6+3jyJCaykiNFQRoWEKDwlVnbAw+XpT5RM1G8lUAAAAAACUQHpSrE2bTwDJVABQFrLSCtjmz8ffCZEAcCYPL1951GmioDpNZJjNSk+KVcrF5KqstCS7xzHMuRerXUVKkty9fC2JVT6BteTiyp9KAABA1WMYhk6cPaNdhw9o18ED2nXowldyamqpx25Yp646tmx94atVa3Vo0UpB/gFlEDVQNfAJAQAAAAAAB5lzc5WRnGDTTmUqACgbBVWm8qSSDFCjmVxc5BMUJp+gMKlJO2Vnpl+oWBUfpbSEKJlzc+weKzsjVQnnjinh3DGZTC7yDgy9mFwVIQ9vP5lMpnK8EwAAgJJLTU/Tqi2btGTdGi3bsEZxiYmWcyZJRhnNc/LcWZ08d1a//73c0tauWQsN6d1XQ3v3U4cWreTi4lJGswGVD8lUAAAAAAA4KCMlXoZhtmpz9fCUu5evkyICgOrDbM5Vdobtk9RUpgKQl7unt4JqN1JQ7UYyDLPSk+KVmhCl1PhIZaYkFj/ARYZhVlpCtNISohV9bK/cPL0tiVU+gbXk6uZejncBAABQvOTUVP22YpkWr12lNds2Kys7u8DryiqRqjD7jh7R3n8O6z+zv1R4SKiG9umn6wZcqT6du5KMjmqHZCoAAAAAAByUlljQFn+1WDgCgDKQnW6bSOXm4cU2XAAKZTK5yCcwVD6BoQpr1EY5WRlKTYi+ULUqPkq5OVl2j5WTma7E8yeUeP6EZDLJ2z9EviER8g0Kl6dvAP9/DwAAVJj9R4/o619/1k9LFyktI8PZ4cgw/j9dKyouVnMWzNecBfPVtH5DTbzhJo2+6hoF+vEQDKoHViAAAAAAAHBQepJtMhVb/AFA2chMS7ZpoyoVAEe4eXgpMLyBAsMbyDAMZaQkXNwSMFIZyfH2D2QY/8fefQY2VfZtAL9O9mzaprtl76kIArLcigouFPcW9XXv7eMW99574hYRkCUoe8rem5buJm2aPc/7oVApCZCWpidNrt+X5/GckztXGKU9ufK/4a61wF1rQRU2Qq5SQ5+aXTe5KjUTcqUqdi+CiIiIklIwGMSUeX/jy4m/YNn6NVLHicqu4iI8+d6beOGT9zHmtJG4YcxYdO/QSepYREeFZSoiIiIiIiKiRhBDIbhrrWHHdSksUxERNQef2xF2TKU1SJCEiBKBIAjQGtOgNaYho203BP2+fVOryuGsrkDQ7416raDPi9qKQtRWFAIANMY06NPqylUaQyqnVhEREVGTiaKIWYsX4MVPP8SW3TvRmr6r2D+xyuvzYcKff+D7aZNx4Wln4v5rx6Ftbp7E6YiahmUqIiIiIiIiokbwOGsghoINjskUSk5NISJqJj43J1MRUezIlSqkZOYjJTMfoijC66ytL1bVFebFI66xn8deDY+9GpbCzZArVNClZe2bWpUFhUoduxdBRERECWXZujV44ZP3sXz9Wgj7alTRf0cSf0RRxK+zpmPSnFm45rwxuPOKa5CRli51LKJGYZmKiIiIiIiIqBHctvAt/nQpZk4iICJqJj5X+GQqNSdTEVEMCIIAjcEEjcEEc5uuCAb8cNVU1m8JGPB5ol4rGPDBXrkX9sq9AACNIRX6tCzo0rKgNaZBEGSxehlERETUSpVVVeLxt1/DtAVz64+JrbpG1VAgGMRnv/2E7//8A/ddOw7jxlwCuVwudSyiqLBMRURERERERNQIrghlKq2JW/wRETUHURQjb/PHyVRE1ALkCiWMGXkwZuTVfT1y2euKVTUVcNssEMVQ1Gt5HDXwOGpgKdoKmVwJfVom9Kl1k6sUam0MXwURERHFu/2Tmx5/5zXYnU6p48Sc2+PBsx++g2nz/8FrDzyGzm3bSR2J6IhYpiIiIiIiIiKKkiiKcNdGnkxFRERHL+B1h2+lKldAruR2WUTUsgRBgFqfArU+BekFnREKBuCyVdVPrfJ7XFGvFQr6Ya8qgb2qBACg1qXUbQeYlg1tSjoEGadWUeLy+Xyw1lTDH/DDHwgAIiCXyyGXy2E0GJBiMHLKLxEllbKqSjz0+kv4a8nCpPn6t3/W1ooN63D6uKvw0A23cEoVxT2WqYiIiIiIiIii5HXWIhQMNDgmyOVQG0wSJSIiSiw+tz3smErHN1mJSHoyuQKG9BwY0nMgiiL8Hue+YlUFXLaqsCLo4XhdtfC6amEt3g5BLofelAl9Wjb0aVlQanQxfBVEsWGptmLDlk3YsGUT9uzdiwpLJSqrqlBeVYFae/i/7QdSKpXIyshEljkDWRmZyMnMQvcu3dCrW3d0bNseCgXfyiSixDFz4Xzc+eLT9dOoRDFxtvSLlj8QwLMfvoPp8+fiwyefQ05GptSRiCLidyBEREREREREUYo0lUprNEMQOE2AiKg5eF0RtvjTGiRIQkR0aIIgQKU1QKU1IC2vI0LBINy1lvqpVZG2Kz0UMRiEw1oGh7UMQN3XvP3FKq3JDJmMExsovoiiiK07tmPukoVYu3E91m3aiPKqigbXCIIQdUHA7/ejuLQEJWWlYY9Rq9To2bUbenXrgRP6H48TBgyCTsttMomo9RFFEW9/9xVe/vyjpP+gyP6v9cs3rMVZt1yHL557Gcd27ylxKqJwLFMRERERERERRclli7DFn4lb/BERNZdDTaYiIopnMrl837Z9WQB6w+9x1RernLZKiMHop1b53A743A5Ul+yAIJNDZ8qoX5vlUpKKz+/HijUrMWfBPMxeMBel5WWHvb4pk1YiPcbr82L1hnVYtX4tvv31R6iUKgw5fhBOGToCJw0ZjqyMjEY/DxFRS3O53bj3lecx+Z/ZAJJzGtWhVFqtuODOW/DqA49izOkjpY5D1ADLVERERERERERREEUx8mSqFJapiIiai4+TqYgoASg1OqTmtkdqbnuIoRDctda6YlV1Bbyu2qjXEUPBfY8r37euvr5YpTNlQCbnWzwUWzt278L3v/+C36dPgWPfllQtPU/lwNKBz+/DP4vm459F8wEAA/v1x+UXXIxTh58EJbcDJKI4VFxRjusefwAbtm+TOkpcEiHCHwzgzvFPY9PO7Xjkxv+DXM6pnBQf+J0FERERERERURT8bgeCfm+DY4Igg8aYKk0gIqIEFGkylZqTqYioFRNkMuhSM6BLzUBmh17we91wVVfAWVMBZ3UlQkF/1Gv5PU7UlO5CTekuCIIMWpMZ+tQs6NOzoNIak37bIGoe/kAAs+f/g+9//wVLV64IOx9P81SWrfoXy1b9C3NaOi45bwzGjj4fOVnZUsciIgIA7CouwsX33obSykqpo8S1/aXZD378DhVWC15/8DEoWBinOMA/hURERERERERRcEWYSqUxpkEm4yfmiIiaQ9DvQ9Dva3hQEKDU6KQJREQUA0q1FqacdjDltIMohuC2V9eVq6or4HHURL2OKIbgqqmEq6YSlbs3QKHW1hWr0rKgS82EXKGM3YughOQPBPDz5In44KvPUGmpkjpOo1hrqvH+l5/gw68/wzmnnok7b7wZbfIKpI5FRElse+FuXHTPbaistkodpVX5ddZ0eH0+vPvY05w4SJLjn0AiIiIiIiKiKLht4WUqnYlb/BERNRefO/IWf4IgkyANEVHsCYIMuhQzdClmZLTrgYDPu29iVQVc1RUIBnxHXmSfgNcNW/ke2Mr3AIIArTF935aA2VDrUzi1ig4pFArhzzkz8dYnH6CopLhV/lnZP9UkFAph8qxpmDZnJi45bwz+75obkJHOn9mIqGXt3FuEMffchioWqZpkytw5kMlkePfRp7jlH0mKZSoiIiIiIiKiIxBFMeJkKi3LVEREzcbrCt/iT6U1SJCEiEgaCpUapqw2MGW1gSiK8Dhq4KyugLO6HB57dfQLiSLctRa4ay2o2rMJcqW6vlilT82EXKmK3YugVmXh8iV49YO3sWnb1voS1f5iUmsWCAbx3W8/4depf+D6S6/EDZdfDb2Oky6JKPaKykox9l4WqY7WH3//BZVSiTcefBwyGT9cQ9JgmYqIiIiIiIjoCAJeNwJed8OD+z7xT0REzeNQk6mIiJKRIAjQGtOgNaYho203BP0+OGsq4awuh7O6AkG/N+q1gn4vaiuKUFtRBKBuq2p9Wjb0aVnQGFJb5SQiOjo2ey1eePs1TJo+tf5YIpSoDubxevD+V59i0oypeOHRJzGo3wCpIxFRAnO4nLj6kftQWlUpdZSE8MvMaWibk4f7rr1R6iiUpFimIiIiIiIiIjoCl60q7JjGkAqZnD9WExE1F1+kyVQ6owRJiIjij1ypQkpmPlIy8yGKIrzO2vpildtuBRpRhPHYq+GxV8NSuBlyhQq6tKy6yVWpWVCo1DF8FRQP/l44H0+8/ByqrOGTdxNVSXkZrrnzFlx+4cW47+Y7OKWKiJpdKBTCneOfwdY9u6SOklBe//ozdO/YCeeMOFnqKJSEeNeXiIiIiIiI6Ajckbb4S+EWf0REzSnSZCo1J1MREYURBAEagwkagwnmNl0RDPjhqqmEs6YCzuqK8ImqhxEM+GCv3At75V4AgNpgqp9apTWmQRC4tU6iqLXb8fzbr2LS9KlJN41s/9StCb/9jLmLFmD8o09hYL/+EqciokTy6pefYMbCeVLHSDiCIODO8U+jfX4BenXqInUcSjIsUxEREREREREdgcsWXqbSmVimIiJqLqFQEH6PM+w4J1MRER2ZXKGEMSMPxow8iKIIn9vx39QqmwWiGIp6La/DBq/DBmvRVsjkCuhSs2BIy4IuLQtKtTaGr4JiaWfhbvzfQ/dgz966rR4TcUu/aJWUl+Gau27BQ7fdjWvGXp50xTIian5//PMX3vr2S6ljJCRRFOHxenHdYw9g2odfwJyaJnUkSiIsUxEREREREREdRsDnifgGvzYlXYI0RESJye8O/zqrUGm4nSoRUSMJggC1zgi1zoj0/M4IBQNw2argrK6bWhXp+9pDCQUDcFhK4LCUAABUuhQY9m0JqE0xQ5BxalVrMG/JQtzz5KNwuqL/vU9koihCgIAX330DW3Zsx9P3PwKVSiV1LCJqpfaUFOPel56HIAhJXVSNteKKctz94rP4evxrLMFSi+HdCCIiIiIiIqLDiDSVSq1PgVzBG+5ERM3F57aHHeNUKiKioyeTK2BIz4EhPQcA9k2tqitWuWxVEEPBqNfyuWphddXCWrwdglwOvSkT+rQs6NOyodToYvUSqIlEUcTnP3yLVz94W+oocUdEXeFh4rTJ2FW4G+88/woyzRkSpyKi1iYUCuHeV56H2+uROkpSmLNsMX6aPhWXnDVK6iiUJFimIiIiIiIiIjoMd214mUqbwi3+iIiak9flCDum0hokSEJElNhUWgNUWgPS8joiFArCbbPsK1eVw+cO/1p8KGIwCIe1DA5rWf26+4tV2hQzZHJ5rF4CRSEYDOLJV17AL1MncVrKEazesA5jbrgSX7z5ATq17yB1HCJqRb7+4zcsWbNK6hhJQxAE/O+9NzF8wEDkZWZJHYeSAGewEhERERERER1GpMlUOhM/tUxE1Jw4mYqIqOXJZHLo07KQ1bE3OvQ/FR0HnI7sTsfAkJ4DoZFlKJ/bgeqSndi7YTG2L52GvRsWo7pkB3xuB4s8LcwfCODB5/6HX6ZOAgD++kehwlKFK28fhy3bt0kdhYhaiT0lxXj2o3e55VwLEkURDpcTD732Iv9toxbByVREREREREREhxD0++Bz1YYd52QqIqLm5YswmUrNyVRERC1KqdEhNbc9UnPbQwyF4K61wllTDmd1BbzO8O+JD0UMBeu3EgTWQ6nR1U2tSs2GLjUDMjnfmoqVQCCA+59+DDP+mS11lFanxlaDq+68CV+//RG6d+4qdRwiimOiKOL+V1+Ax+uVOkpSmrNsMX6e+SfGnnmO1FEowfE7ViIiIiIiIqJDiLTFn0prgEKlliANEVFiEkUx4tZSnExFRCQdQSaDLjUDutQMZLbvhYDXDWdNxb6SVCVCQX/Ua/k9LtSU7kZN6W4IggzalHTo07KhT8uCSmfkVI9mEgwG8fALT7FI1UQigFq7HdfefSu+fedjdO7QUepIRBSnZi6aj0WrV0odI2kJgoAXPnkfo088FVqNRuo4lMC4zR8RERERERHRIbgilKm0Jk6lIiJqTgGvG2Io2OCYTK6AXMniKhFRvFCotTBlt0Ne9+PRefBItO07HOY2XaExpDZqHVEMwWWrQuXuDdi96m/sXD4TZdtWw15VgmAg+oIWhXv+7VcxZdZ0qWO0ejW2Glx79/+hrKJc6ihEFIeCwSDGf/IBi8ASEkURlVYrPvvtJ6mjUILjZCoiIiIiIiKiQ3DbwstUOm7xR0TUrHxue9gxTiohIopf+6dLaVPSkdGuBwI+L1w1FXBUV8BVXYFgwBf1WgGfB7byPbCV7wEg7JtalQV9WhbUehP/LYjSD7//ggm//Sx1jIRRZbXg1kfuw4T3P4VGzaknRPSfX2ZNx7bC3VLHSHqCIODd77/GlaPPR6oxReo4lKA4mYqIiIiIiIgoglDAD4/DFnZca8qQIA0RUeLyuiJs8ac1SJCEiIiaQqFSIyWrDfK69UenQSPR7pgRyGjbHRpjeiNXEuGutaBqzybsWT0XO5bNQOnWlait3IugP/qCVrJZtupfPPvmKyyeNbONWzfjsRefhSiKUkchojjh8Xnxyhcf8+ttHBBFEXanE+99/43UUSiBcTIVERERERERUQRuezWAhjfOlWodlGqtNIGIiBLUoSZTERFR6yMIAjTGNGiMaTC37YZgwAdXTSUc1go4a8oR9HmjXivo96K2ogi1FUUAAI0xrX5qlcaQxjezAewtKcYdjz2AUCjE0k8MTP1rBrp16oKbrrxW6ihEFAe+mzIJpZUVUsegA3z6648Yd9GlyErnFHlqfixTEREREREREUXgqg3f4k9r4s0ZIqLm5uNkKiKihCVXqGDMyIcxIx+iKMLrqoWzugLO6gq4ay1AIwpAHns1PPZqWAq3QK5QQZeWCX1qXblKoUq+rdi8Xi9ufeQ+2Oy1UkdJaG98/B66d+6CEYOHSh2FiCQUCoXw+cSfIQgCy6txxOf34/s/J+Mull4pBlimIiIiIiIiIorAbYtQpkphmYqIqLlFmkyl5mQqIqKEIwgCNHoTNHoTzAVdEAz44bJV7StXlSPgdUe9VjDgg72yGPbKYgCAWm/aN7UqG9qUNAiCLFYvI268/dmH2Lpzu9QxksKj45/B1G9/hsmYInUUIpLIgpUrsLt4r9Qx6CCCIOCbyRNx22VXQiFn9YWaF/9EERERERERER0kFArCY68OO67jZCoiomYV9PsQ9PsaHhQEKNU6aQIREVGLkSuUMJpzYTTnQhRF+NyO+mKV22aBKIaiXsvrtMHrtMG6dxtkcgV0qZnQp2VDn5aVkNt0r96wDp//8K3UMZKCKIqoslrwwtuv4aXHnpY6DhFJ5KtJv0odgSIQRRGllRWYvWQRzhw6Quo4lGBYpiIiIiIiIiI6iMdeHfbmjVyphlKjlygREVFi8rkjbPGn0UOQJf5EESIi+o8gCFDrjFDrjEjP74RQMACXzQJndTmc1RXwe5xRrxUKBuCwlMJhKQUAqHTG+mKVNiUdMpk8Vi+jRXi8Hjz8/JPcZqqFTZo+FWeedCpO4Zv1REmnuKIcMxfNlzoGHcZXk35jmYqaHctURERERERERAeJtMWfzmSGIAgSpCEiSlxeV/gWfypu8UdElPRkcgUM6dkwpGcDwAFTqyrgslVBDAWjXsvnssPnsqO6eDsEmXzf1Kos6NOyoGqFH5Z457OPsLuoUOoYSUcQBPzv5efR/9tjud0fUZL54c/JCLHAGtfmrliKPSXFaJeXL3UUSiAsUxEREREREREdxFUbXqbSpnCLPyKi5hZxMpXWIEESIiKKZyqtASqtAWl5HREKBeGutcBprYCzpgK+CMXcQxFDQTitZXBaywAASq0ehvqpVRmQyeN7atW2XTvwBbf3k8T+7f7e+vQD/O+eh6SOQ0Qt6M/5f0MQBE4EjHPTF87DzRdfJnUMSiAsUxEREREREREdQAyF4K61hh3XmTIkSENElNgivQHOyVRERHQ4Mpkc+tQs6FOzAAB+jwvOmn1Tq2oqEQoGol7L73ai2r0T1SU7Ichk0Jky6tZOy4JSa4i7ybRvfPwep6NI7MdJv+HasVegbX6B1FGIqAUUlpZg866dUsegIxAAzFo0n2UqalYsUxEREREREREdwOO0hW0bIlMo+eY+EVEMRJpMpeZkKiIiagSlRofUnPZIzWlf98EIu7V+S0Cv0xb1OmIoVP847AKUal39doC61EzI5NK+pbZy3RrMWTBP0gwEBINBvPXpB3jtyeeljkJELWDW4gVSR6AoiACWrlsDq82GdJNJ6jiUIFimIiIiIiIiIjqA2xa+xZ8uxRx3n0onImrtQqEg/B5n2HFu80dERE21f7qUzpSBzPY9EfB56gtSzpoKhAL+qNfye12oKduNmrLdgCBAl2LeV67KhkpnbNGfD0RRxGsfvttiz0eHN/WvGbjx8qvRo0s3qaMQUYzNXDRf6ggUpVAohL+XLcaY00dKHYUSBMtURERERERERAdw1YaXqbQpZgmSEBElNr87vEilUGkgUyglSENERIlIodLAlN0Wpuy2EEURHnv1vnJVOTyOmugXEkW4bFVw2apQuXsjFCpNfbFKl5oJeYz/7Zq3ZCH+Xbsqps9BjfP6R+/hk1ffljoGEcVQrcOBxWv4tbc1mbloPstU1GxYpiIiIiIiIiLaRxTFiJOptCaWqYiImpvPbQ87xi1ViYgoVgRBgDYlHdqUdGS0646A3wtXdSWc1eVw1lQg6PdFvVbA54GtvBC28kIAArQpadCnZUOflgW13tTsU6s+/vYrCKjbxojiw/yli7Bp2xZOpyJKYKs3b0QwGJQ6BjXCsnVrpI5ACYRlKiIiIiIiIqJ9vK5ahIINt/4QZHJoDCaJEhERJS6vyxF2jFv8ERFRS1Eo1UjJKkBKVgFEUYTXaasrVlVXwF1rbcRKIty1VrhrrajaswlypXrf1Kos6FIzoVCqjyrnlh3bOZUqTk2Y+AueffAxqWMQUYys3bpZ6gjUSBVWCyqsFmSl80ORdPRYpiIiIiIiIiLaJ+JUqpR0CIJMgjRERImNk6mIiCheCIIAjSEVGkMqzG26IRjwwVVTVV+uCvg8Ua8V9HtRW1GE2ooiAIDGmAZ9al25SmNMa/TUqu8n/tyo66nlTJ75Jx74vzuRYuT3L0SJiGWq1mnt1s04bfBQqWNQAmCZioiIiIiIiGgfd214mUrHLf6IiGLCF2EylZqTqYiIKA7IFSoYM/JgzMiDKIrwuexwVJfDVV0BV60FEKPfcM9jr4bHXg1L0RbIFMr6YpU+LQsKleawj3U4Hfh9xtSjfTkUIx6vF7/PmIqrL7pU6ihEFAMsU7VOa7ewTEXNgx+tJSIiIiIiIgIgiiJcESdTZUiQhogosYmiCJ87wjZ/nExFRERxRhAEqPUpMBd0QZs+Q9Fl0FnI6zEQppz2UKi1jVorFPDDXlWMsm2rsGPZDOxe9Q8qd2+Ey2aBGAqFXT9pxp/weKKfikUtSxAETPjtJ4iNKNcRUetgtdlQVFba4FhBdg6K5yzGGw8+Xn/sjQcfR/GcxSjIzmnpiFFbMuE3LJnwm9QxWgxLcNRcOJmKiIiIiIiICIDf40TQ721wTBBk0BhTpQlERJTAAl43xFCwwTGZXAG5Ui1RIiIioujIFEoYzbkwmnPry8HO6go4qyvgtlVBFMNLUYfiddrgddpg3bsNMrkCutRM6NOyoU/LglKtxaQZf0IQBJZ14pQoithdVIj1mzeiT49eUschoma0vXC31BGSgkqpxLQPv0D3Dp1QWlmBAZecF/G67h064bbLrkK/Hr2Qk5GJGnstdhUV4pvJEzF57pwG/05u2b2zpeJTgmOZioiIiIiIiAiIOJVKY0yDTCaXIA0RUWLzue1hx1Q6IwRBkCANERFR0wiCALXOCLXOiPT8TggFA3DZLPvKVeXwe5xRrxUKBuCwlMJhqZuE4ggA6zauB2tU8e/vhfNZpiJKMGWWyqiuG//pB3j3+29QVhXd9VK45P47pI5wSA/fcMsRp3qdfsIwfPL0eIRCIcxavABT581Bekoqzhp2Ij7433MYNnUSHnztxfrryy1VEEWRP1vSUWOZioiIiIiIiAiA21YVdkxnMkuQhIgo8XldEbb40xokSEJERNR8ZHIFDOnZMKRnA+gDn9sJZ00FnNZyuGxVYVMZD2fxqlUsUrUCgiBg9oK5uPPGW6SOQkTNqLwq/B5RJBVWCyqs4R/Oiyd7SoqljhDRCcf0w7iLLsWjb72KF+958JDXPTLu/6BUKDDm7luxZO2q+uMvf/4RZn3yDa445zy8+c0XKKkoBwB4fT7UOh0wGbiFPB0dmdQBiIiIiIiIiOKBqzb85pc2hWUqIqJYONRkKiIiokSi0uqRltsBBb0Go/Pgs1DQewjS8jtF9W/esk1bWyAhHS1RFLFlxzYUl5VKHYWImlG0Bak3HnwcxXMWR5yudMOFY/H35xOwY/o/WPHTH3juzvtg1OuxZMJvWDLht6PKd+KAQfh6/GtYN3Eadk6fi4Xf/ozHb74dKfrwD6hEer6xZ56N4jmLMfbMszG8//H47c0PsHXqbKz97U+8/uBj9ev06twVXz3/KjZMmoGtU2fji+dePuIkqWgYdDq88dATWLByBb6ZPPGw17bNzUetw9GgSAUAldVWrNq8AQBgNqU2OFdhie+CG7UOnExFRERERERESc/vcSHgdR90VIA2JV2SPEREic7HyVRERJRkZDI59KmZ0KdmAh0Av9cNZ3U5nNUVcNVUIhQM1F/r9fmxattOCdNSY/29cB6uHHOJ1DGIqJmURTmZ6lBeuOt+XHPeGJRWVeK7KZPgDwRwxgnDcGz3nlAoFAgEAkde5BDuvup6PHDdOFTbbPhryUJU1VSjR8dO+L9LrsApg07AubePg8Plimqt04cMx2mDh+KvJQvxzeTfMaBXH1wychTa5ORh/Cfv48dX38HSdWvww7Qp6N6hI84YMhzt8vJx6g1XQhSbPj/x2dvvhclgxH2vvnDEa7fu3oljuvXA8b37Yvn6tfXHzalpOLZ7T5RWVWLbnt0NHlNmqUSXdu2bnI8IYJmKiIiIiIiIKOJUKo3BBJmcPzYTEcWCzx1eplKzTEVERElEqdYiNac9UnPaQwyF4LZb4ayugLO6Aqu2roT/KN5op5a3YNkSlqmIEkhltQWCIDSpMDSwzzG45rwx2FG0B6NuvRG1zrqffV789AP88OrbyM3IRFETp9kNOfY4PHDdOKzYsA5XPXxv/dpA3bSpNx56AvdfOw5Pvf9WVOudMWQYLrnvzvqpT4IgYMJLb2LEgIH4evzrePD1FzFx9sz661+9/1FcdvZonH7CMMxcNL9Jr2HksBMxduQ5uO+VF+q35jucp95/C189/yp+ePVtzFw4H3tKS5BuMmHk0BGodThw2/NPwuPzNnhMpdXapGxEB+I2f0RERERERJT03LYIW/yZMiRIQkSU+IJ+H4L+hje7IQhQavTSBCIiIpKYIJNBZ8pAZvueaN/vJFgFFoxbm3WbNkgdgYiakcfrPfJFh3DxGWcDAN7+9qsGZSd/IIDxn3x4VLmuv3AsAOCB18Y3WBsAfprxJ9Zv24oLTj0j6vUmzZnVYPs8URTx66zpAIAtu3c0KFIBwC8zpwEAenXu0qT8GWlpeOmeBzF76SL8MG1yVI9Ztm4Nzr1jHHYX78W5J5+GOy6/Gleccx5UShV+nD4Vm3fuCHvM0fz+Ee3Hj9gSERERERFR0nNHmEylSzFLkISIKPFFmkql0ughyPi5TyIiIgDYtGOb1BGokSzVVpRXVSI7I1PqKER0EFEUAVFEKBSEKIYghkIQQ8H6/w3VH9t3XAzB63EBTdzGrneXrgCAZevXhJ1buWn9UU0e7N+zN3x+P0adeApwYvh5pVKBjLR0pKWkoLq29ojrrdmyOexYuaVui8N1W7eEnSurqgQA5GZmNTJ5nVfuewQKhQIPvvZi1I8Z3v94fPD4s1izdRPuevEZbC/cg6x0M647/yI8fOMtOHXwEIy5+1YEQ8H6xwSCnO5IR49lKiIiIiIiIkpqAZ8n4hv7WlO6BGmIiBKf12UPO6bSGSVIQkREFJ/Wb94kdQRqgg1bNrFMRXSA/SWmhoWlfSWmff8dOqDUdHDRKfwx+45HWOe/xwTDilFiKNTo7F6XA02rUgFGfd10wcrq8K3mQqEQqmttTVwZSEsxQalQ4L5rbjzsdTqtLqoyld0Zfj9sfxHp4MlXB55TyhtfM7no9LNwxpDhuGv8M/WlrCNJNabggyeeg8frwQ3/e7h+4lRhaQme/uBttMnNw1nDTsSY08/ETzP+rH9cMBg81JJEUWOZioiIiIiIiJKauzb85pZalwK5QiVBGiKixBdxMpWW2xkREREBQHVNDUrLy6SOQU2wfvMmnDJ0hNQxiP4rMYkHlpXCC0uh+jJSw2siF58OKjJFuKbBc+17TGslk8kgAE0qVDlcTgBAZlo6CktLwtZNSzFFXSY6mN3pgCDI0Pv8M5v0eCn16doNAPDWI//DW4/8L+x8bmYWiucsBgD0GH06ap0ODOjVB2kpKZg679+IW/ctWvUvzhp2Ivp07d6gTCWXy2P0KiiZsExFRERERERESc1lqwo7pjVxiz8ioljxcTIVERHRIW3cFr7lUn5OLmb/PBkTp03GIy88DQAY/+iTuOCs0Tj14tEoLitt6ZhRmf3THwCAU8eeK3GSlrFxa/jvHSUf8YAt4/7bVi680BQKKzgdqqx08GPCC04Nn6t1l5jihfwotiBfv20r+nTphoG9jwkrUx3XozeUiqZXNFZu3IDTThiKru07YOvuXU1eRwr/blgHnUYb8dzl55wLl9uN3+fMAgD4/H4AgEqpBACYU1MjPs6cmgYA8O+7fj9FEyZnER2Mf4qIiIiIiIgoqblrLWHHdCxTERHFTKTJVGpOpiIiIgIAlJRxKlVLUCqV+PXTb9G1YyeUVZTjpDHnNDivkMtx0pDhOGnIcPTt2Rt52dmQyxUoKt6LWfP/xucTvoHT7WrwGE4Uk9bB5aOw6Uph05Oi2FbugGtCUW4rR4lBrWx6jeKXmdNw2dmjceeV12DGonmwO+smVSkVCjx84y1HleuTX37AaScMxSv3PYKbnnoU5ZaGHxDUajTo0aETVm7acFTPEwt//DMbf/wzO+K5y885FzaHHQ+8Nr7B8X83roc/EMDxvfpixICBmLdiWf25vMwsXDnqPADAglUrGjxOo1Y3c3pKRixTERERERERUdIKBnzwOmvDjmtTWKYiIoqFUCgIv8cZdpzb/BEREdWpiHLrp9c/ehcff/slyisrYpyo6a69+/+kjnBI9950G/Jzcg55vk1+Ad594VU4XS4sW7UCcxcvgE6rxbCBJ+C2a8fh7FPOwGW3Xo8am63+MdH+3iUaURQPvdVblNvKHW7qUrTbyjVtQzZKGoIAQSaDTJBDkMkgyPb9r1D3/2UyWYP/zsnMhrhjd5OeasnaVfh28u+4cvT5+PvzCZg6728EgkGcfsJQ1DqdKK2qRCgUatLaC1atwPMfv4dHbvw/LPj6J8xZthiFpSXQa7UoyM7B4GP6Ydm6tbjy4XuatH68KbdU4c1vvsAD143Dt+Nfx19LFmJ74R5kpZtx1vATYdDp8ef8fzBn6eIGj8s2Z0gTmBIKy1RERERERESUtNy11rBjSq0eCpVGgjRERInP7w4vUilUGsgUSgnSEBERxZ9KS/g25JGvs6DSEj5lN54UlRRLHSGigcf2xzVjL8fTr7+Ep+9/JOI1TpcLT7/2In6fPgVuj6f+uFKhwDvPv4KThgzH7dfdhOfefKX+XLWtBj6/v35bqlirLzEdvK1cKARRPMK2cgdcc7TbykFkiYkOI6zEtK/IJPz3/2UHlJjqr9l3veyg/95/jazBsYMfE76OIAiNit2+/TJgydImv+yH33wZ24v24MpR5+Oq0RegutaG6Qvm4cXPPsCKHydhT011k9d+/4dvsXz9Wtxw4Vgc37svzhgyHHanA2VVlfhuyiRMnD2zyWvHoze/+Rwbd2zDVaMvwIBefXDq4CFwe7zYvGsnfp01Dd9OmRT2mGwzPyRJR49lKiIiIiIiIkpaLluELf5S+Ok1IqJY8bntYcdUOqMESYiIiOJThSW66UbjH30SF5w1GqdePBrFZaUNzl110aW45LwL0SY3HzW1Nvw17x+88cl7mPTF9wCAU8ee2+R8wwYOxlUXXYa+PXpBr9OhrLICs+bNwYdffw67o+FWvrN/+iPs+S44axTGP/oUHnnhKZRXVuLWa29Ejy7d4PV58c+i+Rj/zuuwOxzo0aUb7rrxFvTrcwwUcgWWrlyB5996Jey1NpZep8f4R5/E4n+X48dJvx6yTFVRVYnvf/8l7Lg/EMBH33yBk4YMx8Bj+4edLy7aiWyz+dDbykWautSgpBT9tnIsMdHhCfWFItlBU5gOLDTJDldwCissHfiYCIWl/c8lHHh940pM8SI7I/ze0N7yMuSfckKDY/e8/Bzuefm5sGtFUcQnv/yAT375ocHxDvkFMOj02Fa4+6jyLV+/FsvXr43qWrVKBbuz4dfnn2b8iZ9m/Bnx+sVrVoW9zv0i/Ro0hyOtOXPRfMxcND/q9bLNmUcbiYhlKiIiIiIiIkpe7trwMpXWxE+vERHFitflCDvGLf6IiIj+U2mpgiAIEJtYlPnfvQ/h8gsuRnllBX6aPBF+vx+nDBuBPj16QaFQIBAINDnbrdfeiDtvuAU1thr8s2gBLDVWdOvUBTdcdjVGDB6KS2+5Hk5X+BTKSE4eOgInDRmOfxbNx4+TfkW/3n1x4dnnoiA3H699+A6+ePMD/Lt2FX6dMgldO3XGKcNGoE1+Ps695tIm/9oAwON3348UYwoef/GZJq/h3/drGAgGw86tXzobvjb5TV6bEsOBRaNot5VrMHUpbErTgROZDiwrHf4x1HRZ6Ud3bygzLR1VNdUNvl5p1Go8fdvdAIDp8+cd1frRSjWmIN1kwtbdu1rk+eKBRq2GQaeTOgYlAJapiIiIiIiIKCmFggF4HDVhx3UpLFMREcUKJ1MREREdXo2ttsllof59j8XlF1yMXYV7MPbma+onRb3x8Xv4/I33kZ2ZheLSkiatPahff9x5wy1YtW4NbnrwrgZTqPZPm7rjhpvx4juvR7XeKUNH4Lp7bsXy1SsBAIIg4NPX3sXQ4wfho1fewv9eeR5TZk2vv/65h57ARaPOw8lDR2DOgrlNeg2nDT8JF5w1Go+9+CxKK8qbtAYAjDmnbtLWgmWLws45XO4mr0tHL3KJKcpt5Q45qekw28rVP4YlpkSTE2EyVWPceNElOP+U07F49SqUW6uQlWbGsOMGIC8rG7OXLsLkubObKWlkRr0et4y9AicePwgKuQJT582J6fPFkxxzRqudiEbxhWUqIiIiIiIiSkpuuzVsWwSFWgulhp9eIyKKFR8nUxERER1WINj0yVHnnzUKAMK23PMHAnj94/fw/fufNXntKy+6FADwxMvPh23nN3HaFFx10WUYffrIqMtUU2fPrC9SAXVbYv0x408MPX4Qtu3c0aBIBQCTZkzFRaPOQ4/OXZtUpjKnpePpBx7F3MUL8evUSY1+/H4nDx2BS869EKXlZfj0u6/DzgdDoSav3ZoJB01Lasq2cpELS9FvKwdBYIGCmk2Xdh2O6vHzVyxHz45dMGLAQKQaUxAMBrFzbxE+m/gzPj1g679enbrgzGEjolrz9a+i/xpuMhhx++VXoai0FC988j6+mfx7Y19CVMaeeTYKcnKPeN2G7dswY2HLTOPq1qFTizwPJT6WqYiIiIiIiCgpuW3hW/xxKhURUeyIogifO7xMpeZkKiIionrBoyhT9ezSDQDw79rVYefWbFhXvz1dUxzbqw98fj9GnnxaxPNKpQLmtHSkpphQU2s74nrrN28MO1ZRVQkA2LB1c9i58soKAEB2VlZjYtd79sHHoVAo8MTLzzXp8QDQr3dfvPq/5+D2uHHnEw+h1hE+cTPQwmWqg4tFh9tWrr6s1OAxUW4rV38s/DEsMVEiSjWmoF1uPvaUFjfp8QtWrcCCVSuOeF2vzl1w3zU3RrVmY8pUe8vL0O704VFf31QXn3kOhhx73BGv+2n61BYrU/Xt2r1FnocSH8tURERERERElJRcEcpUWhPLVEREsRLwuiGGgg2OyeQKyJVqiRIRERHFHwFNL6UY9HXTHi3V4T/rhEIh1Nhqmrx2qikVSoUCt19/02Gv02m1UZWpHM7wgnUwWPd9gsNx6HNKRePf2jzvzHNwyrAReOi5J+sLW411bK8++PiVtyGKIYx74C6s27Qh4nVqjR7alPTI28oddupS+LZyB05dOrgcJWOJiSjm+nbr3uQyVbR+mvEnfprxZ0yfI5Yuvvc2qSOEYZmKmgvLVERERERERJR0QqEgPPbqsOOcTEVEFDs+d/j0BpXOyDcBiYiIDiBvQlloP4fLCQAwp5mx96ACgEwmQ6opFRX7Jjw1em2HA4JMwOBzTm1yPqn07Fo3seulx5/GS48/HXY+Jysbm+fXTZA5/qyTwrYx7N/3WHz08psIhUTceN8dWLNx/SGfK6fzMWjbN/bTYIgo9vp27Y7J/8yWOgY1Ut99X/OJjhbLVERERERERJR0PPYaiGLD7RfkSjWUWoNEiYiIEp/XFT5lQsWvu0RERA0o5PImP3bT1i3o1bU7+vc9NqxMdUyvPk2a6rTfmo3rcNKQ4ejcviO2797Z5HWksHrDOuim/B7x3MWjzofL7cbU2TMAAD6fv8H5QccNwPvjX4c/4MeN990RcXvCAykUTf/9I6L40oelnFYnJyMTGWnpUsegBMEyFRERERERESUdd22ELf5SzJyOQkQUQ4eaTEVERET/SUtNQ1FJMURRbPRjJ82YiotGnYdbrr4esxf8A4ezblKVUqHAvTfdelS5vvxpAk4aMhzPPvgY7nriIVRYqhqc12o06Nqx82GnNkll2pxZmDZnVsRzF486H7X2Wjzx0nNh54YePwjvvvAaPB4Prr/3NmzatuWIz5VqSj3auEQUJ/p17wmlQgF/ICB1FIrS4L7HSh2BEgjLVERERERERJR0XLbwMpXOxC3+iIhiycfJVEREREeUZc5oUpEKAJavXokfJ/2GS867EFO+/gkz585BIBDAyUNHwO5woLyyAqGDJvRGa8m/y/HqB+/g3ptvw/TvJ2LekoXYW1oCnVaLvJxcHH/McVi5bjXG3X9nk9aPNx3atMN741+DRq3BvCULceqwE3HqsBPDrnv3i48b/HdWRmZLRSSiGDPo9Bjarz/+Wb5U6igUpTOGcJtVaj4sUxEREREREVFSEcUQ3PbIk6mIiCh2fO7wMpWaZSoiIqIGMs0ZR/X4p14bj52Fu3HJuRfi0vPGoKbWhlnz/sYbH7+Hub/9icLi6iav/emEr7By3WpcddGl6N/3WJwy7EQ4nHUlrZ8nT8SUWdOPKns8yTRnQKPWAADOPOlUnHnSqRGvO7BMJQgCzKlpLZKPiFrG6ScMY5mqlZDL5Thp4GCpY1ACYZmKiIiIiIiIkorXYYMYDDY4JpMrodanSJSIiCjxBf0+BP3ehgcFAUqNXppAREREcSorI7xMVVxWiu7DBzQ49sgLT+ORF54Ou1YURXz10wR89dOEBsfbFbSBXqfHzj27jyrfynVrsHLdmqiuValU9VsN7jdx2hRMnDYl4vXLVv8b9jr3i/Rr0BwOtebhshxKWmoqFAq+9UqUSE4/YRgee/s1qWPQEQio2+LPZOA28tR8ZFIHICIiIiIiImpJrtpIU6nSIQiCBGmIiJJDpKlUKo0egoy3J4mIiA50tJOpMtLNYT/baNRqPHLnfQCAWfP+Pqr1o2UypiDNlIqyyvIWeT6pCQCyucUfUcLJz85Br05deM8ozongFn/U/FiPJiIiIiIioqTitoWXqXQmbvFHRBRLXpc97JhKx08NExERHSw/N/+oHn/1xZfhnNPOxPJV/6LCUoVMsxmDjzseudk5mLt4Iab//VczJY3MoNfj+kuvwrCBJ0ChUGDGP7Nj+nzxQgRQcJS/d0QUn84ecTI27NgmdQw6DEEQMHLoCKljUIJhmYqIiIiIiIiShiiKkSdTsUxFRBRTESdTaQ0SJCEiIopvPbt0O6rHL1qxFN07d8GQgYORakxBIBjE7qJCfPPrj/j6gK3/unfuitOGnxTVmu9+8XHUz28ypuCmK6/F3tISvPbhO/hx0m+NfQlRueCsUcjPyTvidZu2b8Hs+XNjkuFgPbse3e8dEcWnS88ahde//gzBYFDqKHQIpww6AQU5uVLHoATDMhURERERERElDZ/LjlDA3+CYIJNDo0+VJhARUZLwcTIVERFRVFKMRrTNL0Bh8d4mPX7Jv8ux5N/lR7yuR5euuP36m6JaszFlquKyUvQ+eXDU1zfVBWeNxsB+/Y943cRpk1usTNW7e88WeR4ialk5GZk4a9iJmDJ3jtRR6BCuOXeM1BEoAbFMRUREREREREkj4lSqlHQIMpkEaYiIkkekyVRqTqYiIiKKqHe3Hk0uU0Vr4rQpmDhtSkyfI5auvvNmqSOE6dW1h9QRiChGrj73Qpap4pAgCMjPysZJxw+SOgolIN4tJiIiIiIioqThtkUqU3GLPyKiWAqFgvB7nGHHuc0fERFRZL26sZTT2uRkZiE9LU3qGEQUI0OOPQ6d2rSFIAhSR6EDiKKIq8+9EHK5XOoolIBYpiIiIiIiIqKkIIoiXLVVYcd1JpapiIhiye8OL1IpVBrIFEoJ0hAREcW/3j24XVxr06dnL6kjEFEMCYKAG8dcAlEUpY5CB9Co1bj0rFFSx6AExTIVERERERERJQW/x4mgz9vgmCDIoDHw08NERLHkc9vDjql0RgmSEBERtQ79eh8DnVYndQxqhGPaFcBeVYJQMCB1FCKKkUvPGo02OXmcThVHbr74MphTeV+PYoNlKiIiIiIiIkoKkbb40xhTIeMocCKimPK6HGHHuMUfERHRoamUSpx4wlCpY1Aj9C7IQMnm5di+dBr2blwKW9keBPzeIz+QiFoNlVKJh264idOp4oAgCEg1puCWsVdIHYUSGMtURERERERElBRcteFlKm0Kt/gjIoo1TqYiIiJqvJOHDJc6AkWpS0Ee0ox1RXExFILTWoay7auxY+l0FK5dAGvxDvg84dseE1Hrc97Jp6Nnx84QwOlUUhJFEXdeeS1SDPyQDsUOy1RERERERESUFCJNptKZMiRIQkSUXHycTEVERNRoI04YCpmMb+O1BgN7dj3kOXetBZW71mPXir+we9XfqNqzGR6HjZNtiFopmUyGR8bdChH8OywVQRCQm5mFa867UOoolOD4XRgRERERERElPL/XDb/XFXZca0yTIA0RUfIQRRE+d3iZSs3JVERERIeVmmJC/77HcvpJKzCw+6HLVAfyOmthKdqCPav/wa4Vf6Fi5zq4bFUsVhG1MicPHIyTjh8kdYykJYoinrj5dmhUaqmjUIJjmYqIiIiIiIgSXqSpVBpDKmQKpQRpiIiSR8DrhhgKNjgmkysgV/LGNxER0ZFccNZoTj+JY4IgoEeXbhhyyrkwZbdr1Pc3fq8L1SU7UbRuIXYsnY7SravgsJQiFAwe+cFEJClBEPDyvQ9Dr9VCEFh4bWkjh47AuSefJnUMSgIsUxEREREREVHCc9WGl6m0KWYJkhARJRef2x52TKUz8k0HIiKiKJx96ukwGjjNMV6JoogrLrwYRnMOcroci04Dz0SbvsOQlt8JSo0u6nWCAR9qKwpRvGkZti+dhuJNy2CrKEIw4ItheiI6GvnZOXjq1rs5Wa4FCYIAk8GI8fc8yJ8nqUWwTEVEREREREQJz22rCjumNbFMRUQUa15X+BZ/Kq1BgiREREStj0atwUWjzpM6Bh2CQa/HOaeNrP9vQRCgSzEjq0NvdOh/Gtr3Oxnmtt2h1puiXlMMBeGwlKJs60psXzIdResWorpkJ/xedyxeAhEdhcvOHo0TB3C7v5YiiiJeuOt+ZKXzfh61DJapiIiIiIiIKKEFfF743OFv5us4mYqIKOYiff1lmYqIiCh6l543RuoIdAhjzj4XWo0m4jlBEKDWpyCjbTe073cSOg44HVkd+0BnygAQ7UQVES5bFSp2rsPO5TOxZ/VcWIq2wOuq5TQcojggCAJeue9h6LU6TkpqASOHjsB5p5wudQxKIixTERERERERUUJzR9jiT6UzQq5USZCGiCi5+FyRt/kjIiKi6LQraINhA0+QOgZFcMn50RfdlBod0vI6ok2foeg8aCRyuvSDIT0Hgkwe9RoeRw2q9mzG7pV/Y9e/s1GxawPctVYWq4gklJ+dg9fuuQ/g38OYapeXj9cefIylNWpRCqkDEBEREREREcVSpDKVjlv8ERFFzeawo7SyAhUWC8oslaiwWFBhtaDW6UAwGEQgGIQAAQqFHCqlEmZTKrLNmcgym+Ev2440nRqZKUYo5HVvFqo5mYqIiKhRbrn6eixYtljqGHSAkSefho5t2zfpsXKlCqbstjBlt0UoGICzphIOSykc1jKEAv6o1vB7nKgu3o7q4u2QK9UwmHNhNOdAa8qArBEFLSI6OrbyQnTVBnD9qSPw2ex5UsdJOIIgQKfR4KvnX0WqMUXqOJRkWKYiIiIiIiKihOayhZeptCkZEiQhIop/VpsN67Zuxtptm7F26xas3bIJe8vLjnpdpVyOjjlZ6JqXg+E1Io7p1gPdOnSCUsHbk0REREcy4Jh+OPGEYZi7eIHUUQiATCbDXTf+X/OsJVfAaM6F0ZwLUQzBbbPCbimFw1qKgNcd1RpBvxe2st2wle2GTK6APi0bBnMu9GlZkCuUzZKTiBoSRRFVuzfCWrwdAHD5iBOws7wSf6/fJHGyxLF/BtX7TzyLLu3aSxmFkhTvVhAREREREVHCCgb88DptYcd1KekSpCEiij+iKGLdti2YuWg+Zi6cjw07tsXkefzBILYWl2JLcSkmL18FANCo1Tj5+ME4fchwnDZ4CMypaTF5biIiokRw7023Yd6ShdzSLQ5cPPp8dGjbrtnXFQQZdKkZ0KVmIKtjb3idNjgspbBbyuBz1Ua1RigYgL2qGPaqYkAQoE/NhMGcC0N6DhQqTbNnJkpGoWAApVv+hcP634dOBEHAA+efjb0WK7aVlkuYLnGIAB698f9w2uChUkehJMUyFRERERERESUsd6017JhSo4dCrZUgDRFRfBBFEUvWrsKkOX9hxqJ5qLDUTfATBOEIjzzK5z3ovz1eL6YtmItpC+ZCEAQM6NUHZw4ZjjFnnIWsdG7HSkREdKBunbtg9Okj8cfMaVJHSWpqlQq3Xjsu5s8jCAI0hlRoDKnIaNcDPrdz31aApRF/zo1IFOGsroCzugLlWAONMQ1Gcy4M5lyouO0yUZP4PS4Ub1oKrzO84KhRKfHqTTfg9g8/R1EzTPdNdleNvgC3Xnql1DEoibFMRURERERERAnLXVsVdkxn4hv0RJSc7E4nfp01DV9O+hXb9uwG8N/WCQAknXQhiiJWrF+H5evXYvxnH+KcESfjmnMvxKC+x8a85EVERNRa3HnDLfhzziwEAgGpoyStqy++HNkZmS3+vCqtHukFnZFe0BkBnwcOazkcllK4aiohiqGo1vDYq+GxV6Ny90aodEYYzLkwpudAbUjl91tEUXDbrSjeuAxBvzfieWNmAbp0ORa/dBuAC+66BSWVFS2cMHGMPfMcvHDX/fzaRJJimYqIiIiIiIgSlstmCTumTWGZioiSy/bCPfj01x/xy8xpcHs9DW5Ix9NGQeK+NMFgEH/8/Rf++PsvdG3XAdecPwaXnjUKGpVa4oRERETSKsjLxx3X34w3Pn5P6ihJR4CAgrw8/N81N0gdBQqVBqk57ZCa0w6hgB/OmgrYLWVwWssQCkZXtPO57LC67LAWbYVCpanbCtCcC12KGYJMFuNXQNT61FbuRdnWVYcsL2a06470gq4QBAEFObn45Y33cdE9t7JQ1QQXn3k2Xr3/Ecj4tYgkxjIVERERERERJaRQMACPoybsuJaTqYgoSZRUVuCNrz7DD9MmI3TA1CkpJ1A11rbC3XjsrVfx7oSv8MC1N2HMGSOhkPOWJhERJa8bLrsKM+fOwYYtm6SOklwEYPyjT0Gnja8t42UKJYwZ+TBm5EMMheCyVcFhKYXdWoqgL/L0nIMFfB7UlO5CTekuyORKGNKzYTDnQp+WBRm/76IkJ4oiLIVbYCnaEvG8IJMjt+txMGbkNTjeLi8fv7/9ES669zYUlpa0RNSEcOXo8zH+rgdYpKK4wD+FRERERERElJDc9mrgoMKAQqWBUq2TKBERUcuorrXhuY/exdArL8KEP/9oUKRqbfYXv8qqqnDvK8/j1BuuxPQFc1tVIYyIiKg5KRQKvPjYU1AoWHJpSVeOuQQDjukndYzDEmQy6NOykN35GHQ6/ky0PWY40gu6QKU1RL1GKOhHbeVelGxeju1Lp2HvxqWwle9B4BDbmhElslAwgNItKw5ZpFKoNGjbd1hYkWq//OwcTHrnY/Tv2TuWMVu9/ZOT77/2Rrx494MsUlHc4J9EIiIiIiIiSkjuSFv8mTIabG9FRJRIQqEQvpr0GwZfPgYf/PgdfH6/1JGazf7y1I6iQtzwv4dx/p03Y+vuXRKnIiIikkaXDp1wx/U3Sx0jKQgQ0CYvH/fcdJvUURpFEARojenIbN8THfqfivbHnYKMdj2gMaZFvYYYCsFpLUPZttXYsXQ6CtcugLV4B/weVwyTE8WHgNeNonULYa+KPFVKbTCh7TEjoDGkHnadrHQzfn79PYw98xwAAO9IhdOo1Pj06fG45+obeM+O4gpr60RERERERJSQ3LXhZSpdCrf4I6LEVFRWintffg6LVq9M6BvQ+0tVKzasw5k3XYP7rxuHm8dexq3/iIgo6dxw2VWYt2QR/l27SuooCUsQBMhlMrz0+DNxt71fY6l1Rqh1RpjbdEXA64bdWgaHpRQuW1XYROdDcdda4K61oHLXeqj1JhjMOTCk50KtT0no7z8p+XgcNSjeuBQBnyfieYM5D7ld+0W9DaZapcLrDz6Gnp0645kP3gbQurZej6WC7Bx88dwr6Nmps9RRiMJwMhURERERERElHDEUgttuDTuuNbFMRUSJZf80qpOvuxyLVq8EkDw35v0BP1745H2cf8fN2F64W+o4RERELUqhUODt515CTlY2J53EiCiKeOr+R3Bcn2OkjtKsFGot0nI7oE3vIeg86Czkdu0PY0YeBLk86jW8ThsshVuwZ/U/2LXiL1TsXA+XrSppvg+lxGWvKkHh2gWHLFKZ23RFXvcBURep9hMEAeMuuhTfvfQm0lJMzRG11dpfvhze/3hM+/ALFqkobrFMRURERERERAnH46iBGAo1OCZXqKDSGiRKRETU/Ky2Glzx0N149K1X4PF5pY7T4va/Vbdq80acfuPV+GrSb5LmISIiamnmtHR88OLrUKvVnAwUA1eOuQQXjTpf6hgxJVcokZJVgLzux6PzoLOQ33MQTNntIFeqol7D73WhumQHitYtxI6l01G2bRUcljKEgsEYJidqXqIowlK0FSWbl0MMhf/ZFQQZcrv2R0a7Hkf19XbEgIGY++X3OO/k0/etm3xfu7VqNV6850F8//JbSDelSh2H6JBYpiIiIiIiIqKE47JVhR3TmsxJeZOKiBLT5l07cNYt12Pev8sBJM80qkPxBwN49K1X8PAbL8Pn90sdh4iIqMX06NINLz72dNJ/L9DcBvc/Hg/ffo/UMVqUTCaHIT0HOV2ORaeBI9GmzzCk5XeCUqOLeo1gwAdbeSGKNy3F9qXTULxpGWwVRQgGfDFMTnR0QqEgyrauRNWeTRHPy5VqtOkzFClZBc3yfOmmVLz/xDP45KnxSTOlav/9uGHHDcCczyfgqtEX8B4dxT2WqYiIiIiIiCjhuGstYcd0Kdzij4gSw4yF8zD6thuxt7xU6ihxY/8byN9MnohLH7gTlppqiRMRERG1nJEnn4bbr79J6hgJo21+Ad54ejwUisZt45VIBEGAzmRGVofe6ND/NLTvdzLMbbtDrY+++CGGgnBYSlG2dSW2L52OovWLUF2yE36vO4bJiRon4POiaN0i1FbujXhepUtBu2NGQJuS3uzPffaIkzD3y+9x4Wkjm33teGPU6zH+7gfwwytvo01OrtRxiKKSvN8FEBERERERUUISRRHuWmvYca2JZSoiat1EUcTb332Flz//iJ/iPYyla1fjrFuuw5fPv4qenTpLHYeIiKhF3HbtONgdDnz10wSpo7Rqedk5+OqtD5HGrafqCYIAtT4Fan0KMtp2g9/jgsNaCoelDC6bBf9tvnwYoghXTSVcNZWo2LkOGkMqDOZcGMw5UGmN/N6WJOF11qJ441L4va6I5/Vp2cjr1h8yhTJmGdJNqXjn0Sdx88WXYvynH+Cf5Utj9lxSUKtUuOniy/B/l1wBk8EodRyiRmGZioiIiIiIiBKK12lDKBhocEwmVzTqE7RERPEmFArhyffexOcTfwbAbf2OpLiiHBfcdQu+f+UtHNejl9RxiIiIYk4QBDx8+z3wB/yY8NvPUsdplbIzs/D12x8hNztH6ihxTanRIS2vE9LyOiHo98FhLYPDUgpnTSXEUDCqNTyOGngcNajaswlKrR7G9FwYzLnQGNNYrKIW4bCWoWTLCojByH9m0/I7I7N9zxb789i7Szd899KbWLjqX7zwyftYvXljizxvrMhkMlxxznm45+rrkW3OkDoOUZOwTEVEREREREQJpe6TsQ1pU8y8IUtErVYoFMLDb7yM76ZOkjpKq+J0u3DJfbfj2xffwKC+x0odh4iIKOYEQcATdz8IpULJCVWNVJCbh6/e/gj53H6qUeRKFUzZbWHKbotQMABnTSUcllI4rGUIBfxRreF3O2Et3g5r8XbIlWoYzLkwmnOgNWVAJpPH+BVQshFFEdUlO1G5a33kCwQBOZ2OgSmnXcsG22dov/6Y8t6n+GvJQnw16Vf8vWxJXSxENQNOMoIgQBRFGHR6XHrWKFx7/hh0yG8jdSyio8IyFRERERERESUUd22EMhW3+COiVkoURTz61qssUjWBKIpwe7248uF78P0rb2NArz5SRyIiIoq5/ROq9Fod3v/q0/o3uOnQOrXviM9ffxfZmVlSR2nVZHIFjOZcGM25EMUQ3DYL7JYyOKylCHjdUa0R9HthK9sNW9luyOQK6NOyYTDnQp+WBXkMt1qj5CCGQijfsRa28j0Rz8sUSuT3GAidSdpJSoIg4PQThuH0E4Zhd/FefDN5Ir7/czJsDrukuQ524L8vvTp1wbXnj8F5J58OnVYrcTKi5sEyFRERERERESUMURThjjCZSpfCMhURtT6iKOLpD97GN5MnSh2l1dpfqLrioXvwy+vvoU/XblJHIiIiijlBEHDnjbegQ7v2eGz8M/AH/CxUHcIpw0bg5SeehUGnlzpKQhEEGXSpmdClZiKrY294nTY4LKWwW8rgc9VGtUYoGIC9qhj2quJ962XAYM6FIT0HCpUmxq+AEk3Q70Px5uVw26oinldpDcjvORgqbXx9LWifX4AnbrkD9183DtMXzMWMhfMxZ+kiON11BcWWnlh1YIGqbW4eRg4dgVEnnYp+3VtuS0SilsIyFRERERERESUMn9uOYMDX4Jggk0NjSJUmEBHRUfhq0q/45JcfpI7R6omiCKfbhasfvQ/TPvwCORmZUkciIiJqEaNPH4n2BW1w6yP3odISuUCQjPaXAW65+nrcecMtkMlkUkdKaIIgQGNIhcaQiox2PeBzO+DYN7HKXWuNag1RDMFZXQFndQXKsQYaYzqM5hwYzLlQaQ0xfgXU2nlddhRvXAq/xxnxvC41E3ndj4/r6WdatQYXnHomLjj1TPj8fixZswozF83HrMULsLe8LCbPKUCAeEBVSyaToX/P3jhjyHCcMWQYOrVpxwIVJTSWqYiIiIiIiChhRJpKpTWmQeDNcSJqZRasXIEn3n2DW/M0E1EUUWG14Ib/PYRf3/wAGpVa6khEREQtok+PXvj1029x+6P3Ye2mDVLHiQsqpRLjH30KZ596htRRkpJKa0B6QWekF3RGwOeBw1oOh6UUrppKiGIoqjU8dis8disqd2+ESmeEYd/2gmq9ieUOasBZU4GSTcsRCgYink/N7YCsjr0hCK3nvpFKqcSIAQMxYsBAPHfnfaiwWrB262as27oZa7duwZotm1B+lAVauUyGru07om/XbujbtTv6dO2Onp06Q6vmVDhKHixTERERERERUcJw1UYoU5m4xR8RtS67i/fipqcehSiKLFI1s9WbN+HB117EWw//j2+0ERFR0sjKyMC3736Cdz7/GJ9O+Cqpv7/o1a0Hxj/6JLp27Cx1FAKgUGmQmtMOqTntEAr44aypgN1SCqe1/JDll4P5XHZYXXZYi7ZCodLUbQVozoUuxcwPViW56tJdqNixDpE3whOQ1akP0nI7tHSsZpeVbsZpg4fitMFD64+53G6UW6tQXlWFcqsF5VWVqKquhtfvQzAYRDAUgkIuh0KhgF6rRbY5A9npGcjOyEBWuhmZ6elQyFkloeTGvwFERERERESUEERRjDiZSpfCMhURtR52pxPXPvYAbA671FES1q+zpqNnx8645ZIrpI5CRETUYlQqFe675XacceLJePj5p7Bjzy6pI7UohUKBO66/GTdcdhUUCr49Go9kCiWMGfkwZuRDDIXgslXBbimFw1qKoM8b1RoBnwc1pbtQU7oLMoUShrRsGMy50KdlQcZiSNIQxRAqdq5HTWnkr3MyuQJ53Y+HPi2rhZO1HJ1Wiw75bdAhv43UUYhaLf6rQURERERERAnB73Uh4PM0PCgI0BjTpAlERNQEj7/zGrYV7pY6RkITIOD5j9/D8X2OQf+evaWOQ0RE1KL69OiF3z77Fu9+8UnCT6nav10yp1G1PoJMBn1aFvRpWRDFvvA4quGwlMJuKYXf7YxqjVDAj9rKvait3Fu3XmoWDOYc6NNzoFByy+dEFQz4UbJ5BVw1FRHPKzV65PccBLXO2MLJiKi1YZmKiIiIiIiIEkKkqVQaQxo/fUpErcbMRfPxy8xpUsdIeCJEQATueelZzPzka2hUfDONiIiSi1qtxn233I5zTjsDr3/0LuYtWSR1pGa1v0SVnpqGO66/CReNOp/TqFoxQRCgNaZDa0xHZvte8LrscFhK4bCUwuOoiWoNMRSCw1oGh7UMAKBNMcNgzoXRnAulRhfD9NSSfG4nijcugc/tiHhea8pAfvfjIVeqWjgZEbVG/M6BiIiIiIiIEoIr0hZ/Jm7xR0StQ429Fg++/mL9m38UWyKAHUWFePWLT/D4zbdLHYeIiEgS3Tt3xcevvI1lq/7Fax++gzUb1yfE9yJ6rQ7jrrwWV110KXRardRxqJmpdUaodUaY23SF3+uuK0lZSuGyVQFR/tl111rgrrWgctd6qPUmGMw5MJhzodalQBCEGL8CigWXrQolm5YjGPBFPG/KbofsTn0hyGQtnIyIWiuWqYiIiIiIiCghuGvDy1TaFJapiKh1ePK9N1FptUodI+l89NMEnDX8JG73R0RESW1gv/744cMvMHv+XLzz+UfYsmOb1JEaZX8BTKfV4rLzL8K4K69FaopJ6ljUApRqLdJyOyAttwOCAT+c1nLYLaVwVpdDDAWjWsPrtMHrtMFSuAVKtQ4Gcy4M5hxoU8wsVrUStvI9KNu+5pBluswOvZGW15G/n0TUKCxTERERERERUavn97rh9zjDjmtT0iVIQ0TUOLOXLOL2fhIRRRH3vPQs/vr0W6iUSqnjEBERSUYQBJw24iScOvxErFq/Ft9P/AXT/p6FQCAQ99OqOnfoiCsuHItRp4+EQaeXOg5JRK5QIiWrAClZBQiFgnDVVNZtB2gtQ9AfeVrRwfxeF6pLdqC6ZAfkClX9xCpdaiZkMnmMXwE1liiKqNy9EdXF2yOeF+Ry5HUbAEN6TgsnI6JEwDIVERERERERtXqRplKp9SbIFXxjnIjiWyAYwDMfvh33b1Imqv3b/X035Xdcd8HFUschIiKSnCAIOK7PMTiuzzF4+I578OvUP/Dz5IkoKimuPx8P37No1GqcOvwkXHHBxejX5xhOnKEGZDI5DOk5MKTnQBRFuGut+4pVpfB7XFGtEQz4YCsvhK28EIJMDn1aFozmXOjTsyFXqGL8CuhIQgE/SreuhMNaFvG8Qq1FQc/BUOtTWjgZESUKlqmIiIiIiIio1XPbwstUOhO3+COi+PfLzGnYXrhH6hhJTRAEvP715xg78hzotTqp4xAREcUNc1o6brryWoy74hrs2L0LcxbOw5wFc7Fm4/r6QlVLlqsy0s04ZdgInDL0RAzuPwAataZFnpdaN0EQoDOZoTOZkdmhF3wuO+yWUjgspfA6bVGtIYaCdWUsSykgCNCZMuq2A0zPgVKtjfEroIP5PS4Ub1wKr6s24nmNMR35PQZCoVK3cDIiSiQsUxEREREREVGr54owmUqbwjIVEcU3j8+LV774JG4mPCQrURRhtdXg419+wD1XXS91HCIiorgjCAI6d+iIzh064qYrr4Wl2op5SxZh7cb12LBlEzZt3wq/39/wMaibABnV+oe4Ni8nF32690Svbj1wQv/j0atbD8hksqN8NZTMBEGAWp8CtT4FGW27we9xwWEphd1aBretKrpFRBGumkq4aipRsWMtNIbUumKVORcqrYFT0mLMXWtF8aZlCPq9Ec+nZBYgu8ux3JaRiI4ay1RERERERETUqgX8Xvhc9rDjWk6mIqI49+Xvv6KsqlLqGIS6N3E/+OFbXD36AphT06SOQ0REFNfMaem44KxRuOCsUQAAfyCAHbt3YsOWTdizdy8qqipRaalCRVUlKqoqYbNHnh6jUiqRatDDnGJEmtGA9BQjMtPSMOzU0ejZtTvSTKkt+KooGSk1OqTld0JaficE/F44reVwWErhrKmAGApFtYbHUQOPowZVezZBqdXDaM6FIT0XGmMai1XNrLZiL8q2rYIoRv69yWjXA+kFXfjrTkTNgmUqIiIiIiIiatXctdawYyqdEQolx7kTUfxyud14+9svOZUqTogAnG433v/hWzxxyx1SxyEiImpVlAoFunfuiu6du0Y8HwgEEAwG4Q8GIIZEKBQKyOVyKOQybFs0Jez6LscdD5mcU2WoZSmUapiy28KU3RahYADO6go4rGVwWMsQCviPvAAAv9sJ697tsO7dDrlSDYM5F0ZzLnSmDAicqtZkoijCUrgZlqKtEc8LMjlyux4HY0ZeCycjokTGMhURERERERG1am4bt/gjotbn9zmzYHOET9UjaU348w/cf+04aDUaqaMQERElDIVCAYVCATXCP/CiUGkQ8HkaHAv43FBpDS0VjyiMTK6AMSMPxow8iKEQXLUWOCylcFjLEPC6o1oj6PfCVrYbtrLdkMkV0Kdlw2DOhT4tC3KFMsavIHGEggGUbl0Fh6Uk4nmFSoP8noOgMaS2bDAiSngsUxEREREREVGr5qqtCjum4xZ/RBTHRFHEl7//wqlUcajW4cCkv2fh0rNGSx2FiIgoKSjU2vAylZdlKoofgkwGfWom9KmZyOrYB16nDQ5LKeyWUvhc0X04IhQMwF5VDHtVMQRBBl1qBgzmXBjSc6BQscR/KAGvG8WblsHjqIl4XmNIRX6PgVCotS0bjIiSAstURERERERE1GoFA354Hbaw45xMRUTx7N+N67FhxzapY1AEAgR88fsvuGTkKAiCIHUcIiKihKdUa+GxVzc45o9y8g9RSxMEARpDKjSGVGS06wGf2wGHpQwOaynctdao1hDFEJzVFXBWV6Aca6AxpsNozoXBnMMS4QE8jhoUb1waVrbcz5iRh5wu/SCTs+5ARLHBry5ERERERETUanns4TcrlRodlPxUIhHFsa8m/SZ1BDoEESLWb9uK1Zs3ol+PXlLHISIiSngKVfjPbocqTxDFG5XWgPSCzkgv6IyAzwOHtQwOSxlcNZUQxVBUa3jsVnjsVlTu3gCVzrivWJULtd6UtOV+e1UJSreuhBgKRjxvbtMN5rbdkvbXh4haBstURERERERE1Gq5bJawY5xKRUTxrLrWhsn//CV1DDqCbyZPZJmKiIioBUTanouTqag1Uqg0SM1pj9Sc9ggF/HBUV8BhLYXTWo5QMBDVGj6XHRaXHZairVCotTCk58BgzoUuxQxBJovxK5CeKIqw7t2Kqj2bI54XBBlyuvZDSmZBCycjomTEMhURERERERG1Wu7a8DKVzsQyFRHFrzlLF8MfiO7NFJLOjIXzEQwGIZfLpY5CRESU0JRqTdixAMtU1MrJFEqkZOYjJTMfYigEl60KdkspHNZSBH3eqNYIeN2oKd2FmtJdkCmUdcWq9Bzo07IScmu7UCiIsm2rYa/cG/G8XKlGfs+B0BrTWzgZESWrxPtKS0REREREREkhFAzCba8OO65NyZAgDRFRdGYtXiB1BIpCjb0W/25cj4F9jpE6ChERUUKLvM0fy1SUOASZDPq0LOjTsiCKfeGxV8NhLYXdUgq/2xnVGqGAH7UVRaitKIIgk0OfmgmDORf69GwolOoYv4LYC/g8KN60DJ4I93gAQK1PQX6PQVBqdC2cjIiSGctURERERERE1Cp57NWAKDY4plBpeHONiOKWz+/HnKWLpI5BUZq5aD7LVERERDHGbf4omQiCAG1KOrQp6chs3wtelx0OSykcllJ4HDVRrSGGgnBYy+CwlgEAtKYMGPdtB9ga74d4nbXYu3HJISfSGdJzkNutf0JO4yKi+MavOkRERERERNQquSJs8adNMUMQBAnSEBEd2ZI1q+B0883B1kAQBMxYOB+P33y71FGIiIgSmkKlASAA+O+DMqGAH6FggOUJSnhqnRFqnRHmNl3h97rrSlKWUrhsVWEfHjsUt60KblsVKnath1pvgsGcC4M5B2pdStzfH3FYy1CyZQXEYDDi+fT8zsho3zPuXwcRJSZ+F0JEREREREQtwu/3o6y0BJaqCliqKlFVWQmLpRLVFgt8fh+CwSDEUAhyuQJyhRw6nR7mjAyYM7JgzshERkYmMrNykG6uK0y5bVVhz6E1mSV4ZURE0eEWf62HKIrYubcQO4oK0alNW6njEBERJSxBEKBQqRHweRocD/g8UGkNEqUianlKtRZpuR2QltsBwYAPTms57JYyOKvLIYYil40O5nXa4HXaYCncDKVGB0N6LgzmXGhT0uOqkCSKIqpLdqBy14bIFwgCcjofC1M2vw8nIumwTEVERERERETNzu/3Y+eObdi6eSM2b9qArZs2YMf2rQgEAke9tik1Fd2690KmUYV2BXloV5CHtFQTBEGALoVlKiKKX8vXr4UgCBCj/JQ5SW/FhnUsUxEREcWYQq0NK1P5vW6WqShpyRUqpGS1QUpWG4SCQbhslXXbAVrLEPT7olrD73GhumQHqkt2QK5UwbBvK0BdaiZkMnmMX8GhiaEQynesga28MOJ5uUKFvB4DoeOH5YhIYixTERERERERUbOotlqweOE8LJz/D5YtXgiv97+b4c1ZHrDV1GDZkoUNjmWa09CvT2+crclF32OPg0LBH3eJKL54fT5s2rmdRapWZu2WTbhk5DlSxyAiIkpoSrUWHnt1g2MBL7dGJgIAmVxeV4RKz4EoinDXWuuKVZZS+L2uqNYI+n2wlRfCVl4IQSaHPi0bRnMO9Ok5kCuUMX4FDXMUb1oGd60l4nmV1oD8XoOh0uhbLBMR0aHw7jIRERERERE1mdVShRl//oH5c+dgw7o1hywJxLo8UGmpxsx/5mPmP/NhMBgxeOgInHL6SAweMpzFKiKKC5t37UAgGN32HBQfBAhYu22L1DGIiIgSnkKlDTsW8LFMRXQwQRCgM5mhM5mR2aEXvK5aOCxlcFhK4XXaolpDDAXhsJTAYSkBBAE6UwYM5lwY0nOgVIf/XWwuXpcdxRuXwu9xRjyvS81CXvcBLVruIiI6HN5RJiIiIiIiokYRRRFrV6/E77/+gH9mz0IwGIirbascDjv+mjEVf82YisysbJx34ViMOm8M0s0ZUkcjoiS2dutmqSNQI4kQsWH7VgSCASjkvI1KREQUK4oIBQ6/1xPhSiLaTxAEaPQmaPQmZLTtBr/HBYelFHZL6SEnP4URRbhqKuGqqUTFjrXQGFLrilXmXKh1xmbL6qyuQMnm5QgFAxHPp+Z2RFbHXhAEWbM9JxHR0eJdACIiIiIiIoqKz+fDtCm/47efJmDXzu0NzsVLkepgVZUV+PTDd/DFJx/gpFNPx8WXXY2evfpIHYuIktC6rQ0nHBVk52Dp9xPx0/SpuOfl5wAAbzz4OMaOPAeDLrsAe8vLpIh5REsm/AYAGHz5hRInaRlenw/b9uxGj46dpY5CRESUsCJNw+E2f0SNo9TokJbfCWn5nRDwe+G0lsNhKYWzpgJiKBTVGh5HDTyOGlTt2QSV1gCDOQeG9FxojGkQBKFJuapLdqJi53oAke4bCcju1AepuR2atDYRUSyxTBXnnC4Xtu7YhrLKClRZqlBRVYlKSxUqLVVwOB0IBIIIBoMQBAEKhQJKpRJpqanIMmci05yBTHMGsjIy0bagAO0K2kImY6OXiIiIiIgaJxgMYtb0Kfjso3dRXlba5BtoUthf8goGA5g9cxpmz5yG4SediptuvQvt2neUOB0RJZOte3bF1RS/RDD2zLPxxkNPHPL8w2+8jG8mTww7rlGpcdtlV+G8U05DfnYOHE4nFq9ZhVe//ATbC/eEXb919y6WqYiIiGJIodaEHWOZiqjpFEo1TNltYcpui1AwAGd1BRyWUjiqyxEK+KNaw+d2wLp3O6x7t0OuUsOQngujORc6UwaEKN5vFsUQKnauR03projnZXIl8noMgD41q1GvjYiopbBMFUd8Ph/WbtqAjVs2YcOWTVi/eSN2FxVGvMm2/82Lg88d7qacTqtDz67d0atbd/Ts1gN9e/ZGu4I2zf9CiIiIiIgoIYiiiMUL5uKj997Erp3bD/lzSGsz/5/ZWDB3Ds4efQGuG3crsrJzpI5EREmgrKryiF8/x3/6Ad79/huUVVW2UKrGu+T+O6SOEGb6grnYsGNb2PE1WzaFHVMplfj+lbcwsM8xWL15Iz779SfkZWVj1Imn4NRBQzD2vtuxavPGBo8pt1TFLDsREREBClWEbf58LFMRNQeZXAFjRh6MGXkQQyG4ai11xSprWdSlxaDPC1vZbtjKdkMmV0Cfng1Dei4MaVmQKZTh1wf8KNm8HK6ayD/XKDV6FPQcBFUzbiVIRNTcWKaSWHVNDeYtWYC/F8zD/KWL4fZE94/WoW6+He6mnMvtwr9rV2HFmpX1x9q3aYuTh56Ik4eNwLG9+kCh4B8JIiIiIiIC9hYV4uXnn8TqlcsTpkR1IFEUMfWP3zBz2mRcdd1NuPLaG6GIcAOQiKg5iKKICovliNdVWC2osB75OintKSmWOkKYGQvn4acZf0Z17U0XXYaBfY7BlLlzcMszj9f/2/bH33/hi+dexmsPPoZTb7iywb958f57QkRE1NopVBoAAg7cBiwU8CMUDEAm5/tWRM1FkMmgT82EPjUTWR37wOu0wWEphd1SCp/LHtUaoWAA9spi2CuLIQgy6FIz920HmAOFSgOf24HijUvhczsiPl5nykBe9+MhV6qa86URETU7fgciAYfTgckzp+HP2TOxau1qhFrwDYmD3/zYs7cIX/zwDb744RuYUlJw8pARuHDUeejf99hWtXUHERERERE1j1AohF9/+g4fvfsmfD4vgMQqUR3M7/fj84/fw7y//8KjTz6Pzl27Sx2JiBJQrdMBr993xOveePBxjB15DgZddgH2lpc1OHfDhWNx5ajz0TYvD9W1tZi+YC5e+uxDzPrkGwDA4MsvbHK+EwcMwg1jxqJf957Qa3UorarAtPlz8fa3X6LW2fBNkCUTfgt7vv3b7d3z0rMorarEPVddj95dusLj9eKvJQvx1HtvodbpQK/OXfHgdTdhQO8+UCoUWLjqXzzxzuthrzWWrjr3fADAcx+92+Dft5mL5mPJ2lUY3LcfTjimHxat/u/DiOVRFOGIiIio6QRBgEKtCZuSE/C6ObmGKEYEQYDGkAqNIRUZ7XrA53bAYSmD3VIKj90a1RqiGIKzuhzO6nKUYw1UOiP8HifEUCji9absdsju1DeqbQKJiKTGMlUL2rZzO76f+AsmTZ8Kt8cNAQJESPumxIE3jWy1tfh9+hT8Pn0KOnfohMsvuBijzzwLep1ewoRERERERNRS9hYVYvwzj2PdmpVJ9+GK7du2YNw1l+CaG27hlCoianblVUe3TdwLd92Pa84bg9KqSnw3ZRL8gQDOOGEYju3eEwqFAoFAoMlr333V9XjgunGottnw15KFqKqpRo+OnfB/l1yBUwadgHNvHweHyxXVWqcPGY7TBg/FX0sW4pvJv2NArz64ZOQotMnJw/hP3sePr76DpevW4IdpU9C9Q0ecMWQ42uXlh02CaqxenbviRoMRapUKZVWVWLTqX5RG2CqxfV4BCrJzsaNoD4rKSsPO/710CQb37Yeh/QbUl6kEQUC5JX63XSQiIkoUCpU2rEzl93lYpiJqISqtAekFnZFe0BkBnwcOaxkcllK4aqogipHLUQc73HSrzA69kZbXMenuNxFR68UyVYyJooi/F87DF99/i3/Xrmp4TuIi1eHs2L0Tz7z+Il794C2cf9Yo3HD5NcjNzpE6FhERERERxci0KZPw2ovPJMU0qkMJBoP4/OP3MH/uHDz/8lvIyc2TOhIRJYij2SZuYJ9jcM15Y7CjaA9G3Xpj/aSoFz/9AD+8+jZyMzIjFoOiMeTY4/DAdeOwYsM6XPXwvQ2mUO2fNnX/tePw1PtvRbXeGUOG4ZL77sSSfffABEHAhJfexIgBA/H1+Nfx4OsvYuLsmfXXv3r/o7js7NE4/YRhmLlofpNeAwDcOOaSBv8dCAbw/dTJePK9NxtMBOvUpi0AYOfeoojr7CquO96xoE39MVEUUclt/oiIiGJOqdbAc1AP4+ByFRG1DIVKg9Sc9kjNaY9gwA9ndQUcllI4q8sRCjb+gxxyhQp+jxMuWxV0JjMEgZOpiCj+8StVDK1YswpX3HoDbn/kvrAiVbzb/8aJy+3GhN9+xsjLLsDL772JGluNtMGIiIiIiKhZBQIBvPvGyxj/zGPwR7EFVTLYtmUTxl09FmtW/St1FCJKEF5f07++XnzG2QCAt7/9qkHZyR8IYPwnHx5VrusvHAsAeOC18WHb+f0040+s37YVF5x6RtTrTZozq75IBdTdX/p11nQAwJbdOxoUqQDgl5nTAAC9OndpUv7C0lI89vZrGH71WHQ66yT0u2gUbn76MRSVleGqcy/Aaw8+1uB6o94AAKh1OCItV/9rkGIwNDjuOYrfPyIiIoqOQq0NO8YyFZH05AolUjLzkdd9ADoNGomCXifAlNMecqU66jWCAR9qSndh7/pF2L50Okq3roS9qqRJxSwiopbCyVQxsGX7Nrzx0buYt2Sh1FGajd/vx5c/fIuf//gNN1xxDa6++HLotOHf2BIRERERUethr7XhqccewPKliwAk5zSqQ6mtteHuW6/HvQ89gdHnXyR1HCJq5QJH8SZB7y5dAQDL1q8JO7dy03r4j2KLv/49e8Pn92PUiacAJ4afVyoVyEhLR1pKCqpra4+43potm8OOlVvqtjhct3VL2LmyfVvx5WZmNTJ5nSVrVzUob3m8XkyZOwcrN67HzE++wQWnnoH3v/8GG3duj2q9/VuOHPzP4dH8GhMREVF0FKrw95z8PpapiOKJTCaHPi0L+rQs+PI7o2j9IgS80W0Jvl8o4EdtRRFqK4ogyOTQp2bCYM6FIT0HcqUqRsmJiBqPZapm5HS58MZH7+L7iT8n7JsQLpcLb3/yAb7/7Wc8/cBjOGnocKkjERERERFRExTu2YWH7rkNxXsLpY4Sl0RRRCgUwisvPIXt27bgjnsegkLBH6GJqGmCwVCTH7t/mlJltTXsXCgUQnWtrclrp6WYoFQocN81Nx72Op1WF1WZyu4Mn/i0v0h28OSrA88p5c379bWksgJzli7CmNNHYtAxx9aXqeyHmDy1n1Gnb3DdfsFgsFnzERERUThlxMlUHgmSENGRuGutKN60DEG/96jWEUNBOKxlcFjLAAjQmswwmnNgSM+FUqNrnrBERE3EO8HNZPmqf/HoC0+huKxU6igxtb8iVmW14NaH78H5I0fhoTvvhcmYImkuIiIiIiKK3vatm3H3bTeg1tb0N+CTwf4PyUz8+XvUWK144tkXoVAoJU5FRK2RQi5v8mMdLicAIDMtHYWlJQ3OyWQypKWY6ic8NZbd6YAgyND7/DObnC9eWW01AACd5r83ZncU1RWIOxa0ifiYDvl1x3fuLWpw/Gh+/4iIiCg6CrUm7Jif2/wRxZ3aiiKUbVsNUYz8gZGMdj1gzCyAc19JymWrCh/9GpEIt60KblsVKnauh1pvgsGcC6M5FyqdsX6KLBFRS5FJHaC1c7ndeO6Nl3HNnTejpLxM6jgtZv+bCr9Pn4JzrxqLuYsWSJyIiIiIiIiisXnjetx5y3UsUjXS37Nn4ImH74XP55M6ChG1QvKjKOOs37YVADCw9zFh547r0RvKo5iat3LjBqSlpKBr+w5NXiNe9evRCwBQWPJfAW13yV7sLS9Fpzbt0CYnN+wxJw8aDABYuGpFg+OcTEhERBR7ygjb/AW4zR9R3BBFEZV7NqF068qIRSpBJkde9+NhbtMVKo0OaXkd0ab3EHQeNBI5XY+DwZwLQRb9z0Vepw2Wws3Yvepv7Pr3L1TsXA+XzZKwu0MRUfzhnYCjsGP3Ltz28D0oLN4LAEn7xbvKasH/PXQ3Lr9wLB66496juolHRERERESxs23rZtx7+zg4I2y1REe2cN7fePrxB/D0C69yQhURNYpWEz5pIVq/zJyGy84ejTuvvAYzFs2D3Vk3qUqpUODhG285qlyf/PIDTjthKF657xHc9NSjKLdUheXu0aETVm7acFTPEysD+xyDZevWhB2//bKrMaBXH1hqqvH38sUNzn3zx+94ZNz/4fGbb8ctzzxefz/vjCHDMbhvP2zZvROL16xq8Jij+f0jIiKi6MhVGkAQGkywCQX8CAUDkDXzlsBE1DihYAClW1fCYYm8Q5NCpUF+z0HQGFLDzskVKpiy2sCU1QahYBCumko4rKVwWMoQDET3gTW/x4Xqkh2oLtkBuVIFQ3oODOZc6FIzIWtEQYuoOQSCAWwv3IPdxXtRZqlChaUK5ZYqVFgsqKqphj/ghz8QgCiKUMgVkMvlSNHrkWXOQLY5A9npZmRnZCI3MxM9O3WByWCU+iXRIfC7jyb6Z+F83P/0o3C52Yrff9Npwm8/YcfunXjjmReRakqVNhQRERERETWwe9cO3HPbDXA4HVGOV6dI5v8zG88/9SieeOYlyGQc9kxE0clKNzf5sUvWrsK3k3/HlaPPx9+fT8DUeX8jEAzi9BOGotbpRGlVJUKhyFtsHMmCVSvw/Mfv4ZEb/w8Lvv4Jc5YtRmFpCfRaLQqyczD4mH5Ytm4trnz4nibnj6WJb32IHUV7sHrzJpRVVSJFb8CA3n3Ro2MnuNxu3P7CU3C4XA0e8/Ev3+O0E4Zi1ImnYMp7n2LBqhXIz8rBqBNPgcvtxn0vP9/gA5OCICA7PaOlXxoREVHSEQQBCpUGgYO29gt43VDp+EYzkVT8XjeKNy6F1xl5wrnGkIr8noOgUB35AwgyuRwGcw4M5hyInUW4a61wWErhsJTC73Ud8fEAEPT7YCsvhK28EIJMDn1aNozmXOjTsyHnB9+omYmiiO2Fe7By43qs3boZa7dtwYbtW+Ft5OR6QRAOOZinXW4++nbrjr5du6NP124Y0KsPtBG2vqWWxzJVI4miiM8mfIU3PnpP6ihxaenKFbh43NV4/8XX0aVjZ6njEBERERERAFtNDR68+/+4tV8zmT1zGvLyCjDu1rukjkJErUS2+ejKOA+/+TK2F+3BlaPOx1WjL0B1rQ3TF8zDi599gBU/TsKemuomr/3+D99i+fq1uOHCsTi+d1+cMWQ47E4Hyqoq8d2USZg4e+ZRZY+lD378Dsd274mh/fojNSUFYkhEcUU5vvj9F3z88/coLC0Je4zP78el99+J2y67ChecegbGjbkUDpcTMxbOw6tffoJte3Y3uF4URWSZm16GIyIiougp1dqwMpXfxzIVkVQ8jhoUb1yKgM8T8bwxIx85XfpB1oRtzQVBgM5khs5kRmaHXvC6avcVq8oOWdw6mBgKwmEpgcNSAggCdKYMGMy5MKTnQKkO3zqUKBr+QABL167GzEXzMXPRfBSV/TeR7XClqMM53GP2lBZjT2kxJv8zGwCgVqlw0vGDcfoJQ3Ha4GHITE9v/IugZiGIjfjd3rBhA3r37o3169ejV69escwVl3w+Hx578RlMnTVd6ihxT6vR4rWnXsBJQ4dLHYWIiIiIKKkFAn7cd8fNWPXvMqmjJJz/PfsyTjvzbKljELUKzXVPqbXemxJFEV3OPgVub+Q3IZqqQ34BFnzzM36fMxO3Pfdks659KKt+mQK704ER11zaIs8XD26/7Co8Mu5WqWMQERElvJLNK2CvKm5wLKdLP5iy20qUiCh52atKULp1JcRQMOJ5c5tuMLftBkEQmv25/R4X7PsmVrlrLU1aQ2NIrStWmXOhZiGTjkAURSxYtQI/TpuCvxYvhN3lBAAIAKSc7y8IAvp174nzTjkdF595NrcEPEqNvafEyVRR8ng9uOvxBzF/ySKpo7QKHq8Hdzx2P17+33M465TTpY5DRERERJS03nnjZRapYkAQBIx/9nG0adsO3Xq0nkIHEUlDEARkmzOwu2Rvkx6fmZaOqprqBp9m1ajVePq2uwEA0+fPa46YR5RqTEG6yYStu3e1yPPFi6yjnCxGRERE0VFEmCTjP2hSFRHFliiKsBZtRVXh5ojnBZkMOV36ISWzIGYZlBod0vM7IT2/EwJ+L5zWMjgsZXDWVECMcotzj6MGHkcNqvZsgkpr2Le9YC40hrSYFMCodbI57Ph5xp/4atJv2Lm3MOy8lEUqoO7v46rNG7Fy0wa88Mn7GHPaSFxz3oXo3aWbxMmSA8tUUXB7PLjt4Xuw5N/lUkdpNURRRCgUwv1PPQq/349z+WltIiIiIqIW98fEnzHx5++ljpGQRFGE3+fHw/fdjk+//hnmDL7RLhVRFOF0OWGtqYHf70cgEIAIEXK5HAq5HAa9AempaZA3YdsBouaUk5GBPaXFTdoS4MaLLsH5p5yOxatXodxahaw0M4YdNwB5WdmYvXQRJs+dHYPE/zHq9bhl7BU48fhBUMgVmDpvTkyfL94c7TaNREREFB2lShN2LOBjmYqopYRCQZRtWw17ZeQPgciVauT3HAitseW2HVMo1TBlt4Mpux1CwQCc1RV12wFayxEK+qNaw+d2wLp3O6x7t0OuUsOQngujORc6UwYEmSzGr4DiUWFpCd6d8DV+/Ws6PF5vXBfs9t9D8Pp8mPDnH5jw5x84rkcv3HLJFTh7+Elxnb21Y5nqCLxeL+589H4WqZpAFEUIgoBHnn8SSoUCZ516htSRiIiIiIiSxs4d2/DmK89DEIQmvXFP0RBhqarE808/gtfe/pg3L2JIFEWUVpRj45ZN2LBlEwr3FqHCUoXKqkpUWKrg8Rx+6zSZTIb01DRkZ2Yh05yB7MwsdO/SFb269UDXjp2hUqla6JVQMuvWoSOWrF3dpMfOX7EcPTt2wYgBA5FqTEEwGMTOvUX4bOLP+PSXH+qv69WpC84cNiKqNV//6rOon99kMOL2y69CUWkpXvjkfXwz+ffGvoSojD3zbBTk5B7xug3bt2HGwpaZxgUA3Tt0bLHnIiIiSmaRJlMFOJmKqEUEfB4Ub1oGj7064nm1PgX5PQdDGeHvaUuRyRUwZuTBmJEHMRSCq9ZSV6yylCLgi25L9aDPC1vZbtjKdkMmV0CfngOjOQf61CzIFMoYvwKSWlW1FW99+yW+/uM3BIL/bWHZ2u6drtq0ATc99SiO6dYDj467FcOOGyB1pITEMtVhBAIB3Pvkw1i4fInUUVqt/YWqB555HGq1GqcMO1HqSERERERECS8QCOCFpx9DIBCQOkpSWLF0MaZM+hWjz79I6igJIxQKYf3mjZi7eCHWbVyP9Zs3oqbW1uCaxhQFQ6EQqqwWWKyWsBHtCrkCXTt1Rq9uPTB4wEAMG3gCjAZDM70Sov/07dq9yY9dsGoFFqxaccTrenXugvuuuTGqNRtTptpbXoZ2pw+P+vqmuvjMczDk2OOOeN1P06e2WJlKp9GiY0HbFnkuIiKiZMdt/oik4XHaULxx6SHLi4b0HOR26w+ZPH6qBYJMBn1qJvSpmcjq2AdeRw3s1jI4LKXwuexRrREKBmCv3At75V4Iggy61EwYzLkwpGdDEWFSHrVedqcTH/08AR/+OAFub3TFu3i2/97Wmi2bcMn9d2BE/4F4ZNz/HdV9BwoXP1/x4tBrH7yNvxfOlzpGq7f/5vb9Tz2G7z/8At06d5E4ERERERFRYvv+m8+xdfNGqWMkDUEQ8O4bL2Pg4KHIjmKiCkXm8XqwZMVy/L1wHuYsmAtLtfWw1zflU4ORHhEIBrBp2xZs3LoZP0+eCIVcjuP79cfJQ0fg5KEjkJ+b1+jnIYqkTwvc1Pxpxp/4acafMX+eWLn43tukjtCAAAF9unSDjFt/EBERtYhIE28CCfCmN1E8c1jKULJlBcRQMOL59ILOyGjXM66ncQuCAI0xDRpjGjLb9YDP7YDDUgq7pQwe++HvLewniiE4q8vhrC5HOQBtSjoM6bkwmHOh0upj+wIopv6c9w8eeuMlWG01iN8/xUdn3r/LMO/fZbhi1Hl44uY7YNTzz2xzYJnqECb+ORlf/TRB6hgJQxRFeLwe3PbwPfj502+RlpoqdSQiIiIiooS0c8c2fP7x+1LHSCqiKMLtduGl5//H7f6aYNO2Lfhh4i+YPGvaEbfri5UDi1mBYBCLVyzD4hXL8MJbr+KYnr1x2QUX48yTT4NarZYkHyWGru06QKVUwef3SR2FoiRCRJ+u3aSOQURElDTkSjUgCMAB35+Hgn6EgoG4mohDlAhEUUR18Q5U7t4Q+QJBQE7nY2HKbn1TWlVaA9ILuiC9oAsCPg8c+yZWuWqqIIqhqNZw11rhrrWicvcGqHRGGM11xSq13sT7Pq2E1VaDx99+HZP+nlX/e9a6NvNrvO+mTMLfSxfjtQcfw4j+A6WO0+rxO48IVq9fiydfeb5RWwZQdErKy3D3Ew/i0zfeh1LBP35ERERERM0pFAph/DOPIxjk9n5SWLF0Mab+8RtGnTdG6ihxz+v1YsY/s/HDxJ+xesM6qeMc1tqN67Fm43q8+M7ruGj0+Rh77oUoyMuXOha1QkqFAr06d8HqzRt5v6kVOaZbD6kjEBERJQ1BEKBQacK2GvN73VDrjBKlIko8YiiEsu1rUFtRGPG8XKFCXo+B0JnMLZys+SlUGqTmtEdqTnsEA344qyvgsJTCWV2OUJT3z3wuOywuOyxFW6FQa2FIz4XRnAOtyQxB4BTbeDRt/j948PW6aVRA06abt1alVZW47IG7cOXo8/HEzbfDoOOUqqbi3+6DlFWU4/ZH7kMwGEyqv1QtafnqlRj/1qtSxyAiIiIiSjh/zfwTWzYd4hOFFHOCIOCTD96G2+2SOkrc8nq9+OrH73DymHPw8HP/w5o4L1IB/31q0VZbi0+/+wpnXno+7vnfw9hVuFvKWNRKDepzDO83tTIDe/eVOgIREVFSibzVnzvClUTUFAG/F0XrFx2ySKXSGdH22BEJUaQ6mFyhREpmPvK6D0CnQSNR0GswTDnt66biRSngdaOmdCeK1i/C9qXTUbp1JeyW0qiLWRRbPr8fD77+Im588hFU19qkjiOJ/fccvp38O0694Sps2rld4kStF8tUBxBFEY++8DSsNdW8sRVjP/z+C/6a94/UMYiIiIiIEobf78enH7zNUeMSEkUR1VYLfvnhW6mjxJ1AIIDfpv6BkZddgJfefQO2fTe0WtNP3uK+tKIoYsbff2H0VWPx5MvPo7yyQuJk1JqcMWS41BEoSgKArgUFMOs1vE9IRETUghSqCGUqH8tURM3B66pF4Zp5cNdaIp7Xp2Whbd/hUGkSf5KNTCaHPi0bOZ2PQaeBZ6Jt3+FIz+8MZSNeeyjgR21FEUo2LcP2pdNRvHEpbOWFCHJrd0lUVVtxyX134LspkwAk1zSqQ9lbXorRt43D9AVzpY7SKrFMdYAfJ/2KJf8ukzpGUhAEAU+98jxq9o3WIyIiIiKio/PHbz+hrLSENwokJ+C7rz6DraZG6iBx4++F83D+tZfi8RefQUVVJYDEuKEVCoXw8+SJOPOS8/HaB2/D4XRIHYlagf69eiPVmCJ1DIqCCGBQp7YoXDMPO1fMQsXO9XDXWhPi6xcREVE8U0SYTOX3eiRIQpRYnNUVKFwzH35P5GnaaXkdkd9zEOQKZQsnk54gCNCmpCOzQy906H8q2h93MjLa9YDGkBr1GmIoCIe1DGXbVmH70ukoWrcQ1SU7DvnrTc1r/fatOOuW67Bs/Rqpo8Qdj8+LG/73MN785gv+PNtILFPtU1xaglfee4uf4m4hoijCWlON5998ReooREREREStnsvpxJeffcCfZ+KCCJfLie++/lTqIJKzVlfj3icfwW0P34tdhXsAJEaJ6mA+vw+fTfgao68ai4XLlkgdh+KcQq7AaScMlToGRWlI9y4A6rbyqC7ZgcK187Fz+UyU71gHl82SkF/TiIiIpKZUa8KOcZs/oqNTXbITezcsjrwVnSAgu9MxyOrYB4LA6oAgCFDrUmBu0xXtjj0RHY8/A1kd+0BnykDd/NpoiHDZqlCxcz12rpiF3av+QVXhFnidtfwZIgamzf8H591xE0o5OTyi/X/mXvniY9zyzOPw+LwSJ2o9+BURdZ8mffzFZ+H2uPkFrIVN/WsG/pr3t9QxiIiIiIhatd9+ngBbTQ1/nokjv/74HSxVVVLHkMzMf2Zj1FUXY/qcWQASs0R1sIqqSoy773Y8+fLznFJFh3X6CcOkjkBRSDfo0SU3J+x4wOdBTelOFK1bgB3LZqB8xxq4aiohiiEJUhIRESUebvNH1HzEUAjlO9agYue6iOdlciUKep2A1Nz2LRusFVGqtUjL64g2fYai8+CRyOl6HAzmXAgyedRreJ02WAo3Y/eqv7Hr39mo2LWeH85oJr/Omo6bnnoUXp8P/NU8silz5+C6xx6E28OJj9FgmQrAb1P/wNKVy6WOkZQEQcCTrzwPu4M3momIiIiImiIQCOC3n7/nVKo44/f7MWXSr1LHaHE1thrc9+QjuPuJh2CrtUkdp0Xtvwn68+SJGH3VWCxasVTiRBSvTjp+ELQRJi5QfBnesxtkssP/2xr0e1FTuhtF6xdhx7IZKNu+Gs7qCoghFquIiIiaKvI2fyxTETVWMODD3o1LUFO6O+J5pUaPdseOgD41s2WDtWJyhQqmrDbI7zEQnQedhfweg2DKbgu5QhX1Gn6PE9XFO+o/nFG2bTUc1jKEQsEYJk9MP0ybjLtefAYikuNDfM1l3r/LcOUj98Ll5r+tR5L0ZSq3x4O3PnmfbzxIRBRFVNfU4IsfvpE6ChERERFRq7R4wVxUVVbwpkGcEQQBk377EYFAhBH6CWrrju24+MarMC2JplEdSkVVJcbdezs+/e7LpP51oMgMOj3GnDFS6hh0BNeNuRS61ExEu5VH0O+DrWwP9m5YvO9NkVVwVpezWEVERNRIyghlKm7zR9Q4PrcDhWvmw1VTGfG8zpSBdseOgEpraOFkiUMml8NgzkFOl37oNOhMtOkzFGl5naBU66JeI+j3wla+B8Ubl2L70mko2bwctRV7EQz4Y5g8Mfwycxruf3U8gOS+/9RUS9aswrWPPwC3lxOqDifpy1Tf/vIDLNVW/iWT2Jc/fIsqq0XqGERERERErc7EX3+QOgJFIIoiqiorsHjBXKmjtIi/5v2DS2++FsVlpVJHiQuiKEIURbz+4bt48Nkn4OHNKTrI1edeKHUEOoxBfY/F8ccPR5veQ9B50EjkdD4W+rQsIMoPYwYDPtjKC7F3wxJsXzodpVtX8tPmREREUZIr1WH/5oaCAYRYLiCKiqumCnvWzIPPHXlXIFNOexT0OqFR05To8ARBBp0pA1kde6PDgNPQ7tiTYG7bDWp9StRriMEg7FUlKN36L7YvnYai9YtQXbqLZdII/pz3D+556VkALFIdjYWr/sVNTz4KfxJ9ELSxkrpMVVNrwyfffMGpVHHA4/Xiw68+lToGEREREVGrUrRnN1YsXWqKIBcAAQAASURBVCx1DDqMRC+7iaKID7/6FHc+dj+8Pq/UceLS1FnTcdVt41BeWSF1FIojvTp1wfG9+0odgw7hmvPG1P9/uVIFU047FPQ6oa5Y1aUf9Ok5EITobquGgn7UVhSheONS7Fg6HSVb/oXdUopQkMUqIiKiSARBgFIVYas/Hz+gQHQkNWV7ULRh0SHLh1kdeyO7U18IsqSuCMSUIAjQGEzIaNsd7fudjA4DTkNmh97QppijX0QU4aqpRMWOtdixfCb2rJkHS9FWeF322AVvJdZt3YLbX3iSW/s1kznLFuOZD96WOkbcUkgdQEqfffcVHC6n1DFonx8n/YZrLrkCbfIKpI5CRERERNQqTJ70i9QR6AhWLF2M4r2FyC9oK3WUZucPBPDYC09jyqxpAHgT63A2bNmEi264Ep+98T66duosdRyKE9ecdyGWr18rdQw6gCAISDel4qxhJ0Y8L1eoYMpuC1N2WwQDfjit5bBbSqLezi8UDMBeuRf2yr0QZHIY0nNgzMiDPi0LMnlS36YlIiJqQKHWwO91NTgW8Lqh1hklSkQU30RRROWuDagu2RHxvEyuQG63ATCkZ7dwMlL9P3t3Hd9Wvf4B/HPinkbatGnnq87dlY0NxhTYhgwY7jDgh13c3S7j4u66MWBDB3P3ddZp27RpY22s0fP7o12hS8pSy0mb5/163dfrcr7nnHy6rW1yznOeRyKHNrMHtJk9EAz44LaVw2kth8deAZaNbSR4jdOOGqcdluP7IJIqoNBlQKFLh0ShSaqmMZU2Gy677//g9/tBV6Baz7vffYX87j1x4bQZXEdJOElbdmp3OPDRVx37CeH2JhQK4fUP3uE6BiGEEEIIIe0Cy7JYtfK3pLpo0l6t+Wsl1xFanT8QwB0P3VNfSEVOz2q34ZKbrkLhgf1cRyEJ4uwxE2DQ6enneAJhWRYLZ50LkVB42n35AiFUaVnIzB+KnkOn1t6c0hnB8PixvVY4BKelFKb9m1G0cQVK921GdWUpwiEasUAIIYQIxJGdqWjUFSHRhYIBlBZubLSQSiiWoXPfMVRIlQAEQjHUhi7IKhiGnsPPgjFvCFSpWeDxT//54yS/1wVbySGc2LkaRzb/AnPRTrjtFTE93NGe+fx+XPng3Si3VFIhVStjGAb3vPQMNu3eyXWUhJO0xVTf/rgU/oCf6xjkFD/++jMcVQ6uYxBCCCGEEJLwjh89AlNpCXUDSngM1q7uWMVU/kAAix64C792wCKxtuZ0OnHpzddQQRUBAIhFItx+6ZX0czxBMAwDjUqFK8+d3+RjeQIhVKmZyMwfgp7DpsKYNwRKfSYYfuyFVS6rCWUHtqBo43KUFm5EdUUxQo2MZyGEEEI6OkHUMX9UTEXIqQI1HpzYtRpuuznqulSlRef+YyGWq+KcjJwOjy+AUm9ERu4g9Bw2FVm9RyIloxsEIknM5wj6a+AoP4aSvetRtHF57UhxS2mjYx7bs/+88hy27N3NdYwOiWVZhMJhXHH/XSg1l3MdJ6EkZTFVKBTC50u+pif/EpA/4Md3y3/gOgYhhBBCCCEJb+3qP7mOQGLCYteObaiuquI6SKsIBoO485H7sHLNKq6jtEssAI/Xg8sXXYeDh4u4jkMSwLyzpqFbZie6RpUAWJbFLRcvhFIub9F5Tt4UMeYNRs+hZ8GYP7TuafPYxvix4TBctnKUHdyGwxtXoGTvBlSZTyAUpIdCCSGEJA9h1M5UNRwkISRxeaqtOL7zL/g9zqjrqrROyOo9EgKhOM7JSFMxPB7kKakw9OiL7kPORJd+Y6HNyoaoCaNNT44UN+3fgqK6zxGO8uMI+n1tmDw+lv35Oz77aRnXMTo0lmVhq67CLU89inAH73LWFElZTLVm03qUlpfRk38JiGEYfP7dV/RNSgghhBBCyGmsXb2Sbr63E+FwGBvWr+Y6RouxLItHnn8Kv/z5O9dR2jWWZVHtdGLhrdeitLyM6ziEYwK+AHdfeS1do+IYwzAwpqbhkhlzWvW8PD4fSl0GMnIHocewqcgsGAZVWqeYx3iwbBhuuxnlh7bX3RBZj6ry4whRt31CCCEdXLTOLAEa80dIvaqKYpTsXtfo+0J91wKkZw8AL8YR1CRxMAwDiVKD1K4F6DZwIroNOgP6rgWQKDUxn+Pk5whz0Q4c3rQCJ3athq2kCP4adxsmbxsWuw33vPQMXQONk/U7t+HD77/lOkbCSMpiqs+/+5rrCKQRLMui2FSKdZs3ch2FEEIIIYSQhOWw27B39066+d6OrF3V/kfiffzNF/j6hyVcx+gw7A4Hbrzndni8dFMo2U0bOwF9c/K4jpHUWJbF/11+NcQiUZu9Bo/Hh0KbjoycgbVjPHoNh9rQGTxBbIVVYFm47RUoL9qBoo0rULxnHRzlxzrEk+aEEELIqaJ2pqIxf4SAZVlUHitE+cFtYNnIxhQMjw9j/lDosrKp+KSDEEkV0GVlo0u/segxdAoMPfpBrkkDmvD36622ofLYXhzd8huOblsJy/F9qHE52sV1xXtffg726up2kbUjYMDg0TdexXFTKddREkLSFVOZKyuwasNarmOQ0/h62XdcRyCEEEIIISRh7d2ziy4itDO7d27nOkKLrNu8AU+98jwY0MXY1nSg6CDufeIh+n5OcgzD4OEbbqWbHRzqm5OHcydNjdvrMTwe5BoD0rMHoOfQqcjqPQLq9K7gC2Mt5mLhcVTCXLQThzetQPHutbCXHUXQT+OPCCGEdAyCqGP+qJiKJLdwKAjT/s2wlRyKui4QSdC57xgodRlxTkbiRSCSICWjK7J6jUDPYWchI3cQlPrMmEeKA4DfUw1r8UEc3/EXjmz5FebDu+FxWKIW53Ft2Z+/48cO8HBie8KCRY3Ph9uffYImiSEJi6lWrl1FFynbgVUb18HnoyfrCCGEEEIIiebAvr1cRyBNZKmsgN1m5TpGsxwvKcaiB+4GUHtRhbSuX/78Ha9/8A7XMQjHhvbph8tnn891jKTDABAKBHjprvvB53MzAoXh8SBPSUN6z37oMXQqOvUehZSMbuALxTGfw1NlQcXhXTi86Wec2LUGdtMRGoVECCGkXeMLxRFdV8KhIELBAEeJCOFWwOfFiV1r4LJGHxUvUaSgS/9xkCjUcU5GuMIXCKFKzYIxbzB6nOx8m96lSZ8jgj4vHGVHULxnLYo2rkDZwW1wWssQDgXbMHlsqlxOGu/HofU7t+HTn77nOgbnYi9T7CBWrl3FdQQSg5qaGmzcvgVjh4/iOgohhBBCCCEJ5+D+Qq4jkGY4sL8Qw0eO4TpGk3hranDD3bfB6XJxHaVD++87ryMvOwcTRo3lOgrh0N1XXItf169BcVkZFS7GCQvg9suuRG637lxHAVDbpUyWoocsRY+07n3grbbBaTHBZTXF3HXKW22Ft9qKiiO7IVFqodQbodRlQCiRtXF6QgghpPUwDAOhSIqAz9Nge9DvBT/WEbmEdBBepx2l+zYi1Mh4Z6U+E+nZA8Dj6OEAwj0ejw+5xgC5xgC2B4sapx1Oaxlc1jIEatwxnSMcDKC6ohjVFcVgeHzIU1Kh0GVAoU1vQgfd1vPaZx/BXl0d99cltRiGwbPvvYU5Z0yBTBrZLTJZJFVnKrfHg/VbNnEdg8Ro5RoqfCOEEEIIISSa/dSZql06sK/9FcG99OZiHDl+lOsYHR7DMLj/qUfhqHJwHYVwSCaV4qW77gdN04yffrn5uG7eRVzHiIphGMjUOhh69EH3IWeic98x0Bh7RB171Jgapw2VR/fgyJZfcXzHX7CVHII/xpsphBBCCNeij/qjkbYkuVRXlqJ495pGC6l0nfOQkTuICqlIPYZhIFVpkdatF7oNOgNdB06AvkseJIqUmM/BhkNw2cpRfmg7ijbWjRU3HUagxnP6g1tBuaUSb33zRVxei0THsiwsdhve/ja5/x6Sqphq3eYNCAa5b0tHYvPHmr9oJCMhhBBCCCGnsFRWwGa1NNiWnmHEqk17cM8Dj9Vvu+eBx7Bq0x6kZxjjkqv/wCFYtWkPFl51fVxerz1qb+MZt+zcjo+//pzrGEmBZVnYHHY8/tKzXEchHBvWtz+umDOX6xgdHsMwEAoEePHO+yDgJ37j/vobIt17o/vgyejcbyy0mT0hFMfebarG5UDlsUIc3fIbjm3/E9big/B7qesgIYSQxCUQSyK20RhbkixYloXlxAGUHdgCNhyOWGd4PGTkDoa+cy6NQSONYhgGYpkKuk656NJ/HLoPORNp3ftAptYj9qd42Nqx4kdqH9I4tv1PWE4cgM9d3Wb38V/86F34/P42OTeJHQPg1U8/gq2qiusonEn8qwWt6M91q7mOQJqg0mrBvkMHUJCTx3UUQgghhBBCEsbxo0e4jtChSCRSjBk3EcNHj0VObj7SDOlgwyxOnDiG33/+Cd98+UnUh3J4PB7OmHwWZpw7F1mdukAul6OywozdO7fj80/ex7EjhyOOOXa0KB5fUqvw1tTg3iceAk0ai68ff/sZUyZMwqSxE7iOQjh071XXY8f+QmzZu5vrKB0Wy7J45va7E2a8X1MwDAOpUgOpUgN91wL43FVwWkxwWkwxj/Dwuavgc1fBcnwfxHIVlDojFHojxDJlG6cnhBBCYicURelM5adiKtLxhUMhlBdth7OyNOo6XyhGZsEwSJWaOCcj7Z1QLIXG2B0aY3eEAn647Ga4rGVw2yvAhkMxnePkZwnrif0QSuRQ6NKh0GVAqtS2SmHfkZJifPrj9y0+D2k5FoDb68Hizz7E/dfexHUcTiRVMdVOugjV7uzau4eKqQghhBBCCPkHi6Uipv3eXPwSPvngHVRWxLZ/S+3buxsXnz8dVQ57XF6vtfTtPxD3P/o0qqoc2L5lE9b89QeUKjVGjRmPG279P4ydMAmLbrgC/lOeiHvg0WcwcfJUVJjLsWrlb/B63OjeIxtTp83EpCnTcOet12LbKWPmLZbKeH5pLfLSm4tRYop+4Za0HYZh8NCzT2BwvwFIUadwHYdwRCwS4e2Hn8LUay+D2VJJNY1t4OrzL8DcKdO4jtFiDMNAokiBRJECfZd8+DzVcNUVVsXadcrnrobPXQ3Lif0QyZRQ6oxQ6o0QyZTU5YAQQginoo/5o2Iq0rEF/TUo3bcJNc7o11bEcjUyC4ZB2ITRz4REwxeKoE7rBHVaJ4RDIXgcFXBay+G2lSMUjK0rVKDGDXvpYdhLD4MvFEOhrS2skqXoweM1b/Tkyx+/h3CUbmyEO+9+9xWun38xdCnJV8CZNMVUbo8HR08c5zoGaaK9B/ZxHYEQQgghhJCEYrVYTr8TAKvVAqs1tn1bg89XgxPHj8bt9VqLzWrBo/ffhZW//9ygA9Xil5/FK/97D336DcDs8y7AF59+UL+Wl98bEydPxZHDh3DNZRfA56upXzvrnFm454HHcMnl10QUU9V4vfC43ZDJ5W3/hbXA/qKDNN6PIyfH/b301mt46I57uY5DOJSq1eL9x57FzJuvhj8QaLPxCclo/JBh+M/VHW8kLcMwkMjVkMjV9YVVTktZbWGVpzqmc/g9Tlg9B2AtPgCRVAGF3gilzgixXEWFVYQQQuIuWjFV4B+fvQjpaGpcVSjdt7HRokGFLgMZOQPBawdjqkn7wuPzodBlQKHLAMuG4a22wWUtg9NaFnMRayjgQ5X5OKrMx8Hw+VBoDFDoMiDXGMAXCGM6h63KgaV//NqSL4W0AX8ggM+X/4AbLljAdZS443EdIF72Fx2kC0/tDMMw2HuQiqkIIYQQQgj5p1g7U93zwGNYtWkP0jOMEWvnzbsYH36+FL+u3opvfvgdt95xL+RyBb5Y8jO+WPJzs3L1HzgEqzbtwcKrGt6gfvl/72HVpj3g8wW49Ipr8dm3y/Hr6q346Mvvcc7Mc+v3mzFnLt7/9Fv8umoLvl72GxZedUOjN27zC3rjocefwzc//I7f1mzDdz+txPOvvIkJk6Y0OXfRoQP49ecfI0b5eT2e+gKq/oOGNFgzZmYBALZt3tigkAoA1qz6AwCQ0sjTWtZ20J3qxTdepc/PHPt62RIcowfCkl6fnFy8eNf9YFkWVMbSOrpldsJr9z8KQRLcgBLLVNB3zkW3gRPQbeBE6LvkQyxXx3y83+uCrfggju/4E0e3/o7KY4WocTno9wMhhJC4idZ5h8b8kY7KZS3DiV2rGy1c0WZlw5g3hAqpSJtjGB5kaj3SuvdB98GT0aX/eOg65UIsV8V8DjYUgtNiQtmBrSjauBzFe9bDUXb0tIVZn/20DIFTrs8R7jEMgw+WfoNQKLZRkB1J0vzELaQOR+0Oy7I4dOQwfD4fxGIx13EIIYQQQghJCC0txll0532Yfd58VFaYsWzJ1wgGAhg1djzye/WBQCCIKCpqLQ89/izye/XBhnWrEQoGMW7imbjzPw8jGAyiR3YOpk6bifVr/sLWzRsxaux4LLzqOvh8Xnz64bsNznPOzHNx2133IxwOY+3qlSg5cQIarRa5+b0w69z5WPlb84rBojn5Z3HqxYKjR4oAAAMHD4VILIbf56tfGzl6PABgy+YNUc9ptVaiU5eurZaxtW3evhWrN6zjOkbSC4fDeOWd1/HCw09yHYVwbOaESTCZy/HYm4u5jtLupWq1+Oip56FWKLmOEncimRI6mRK6Tjnwe11wWsvgsphQ43LEdHygxg1bySHYSg5BKJbVdqzSZ0Ci0FDHKkIIIW1GIJJEbKMxf6SjYVkWttIiWI4VRl1nGB4MPftBbegc52SEnBwrroZEoYa+Sx78NW64rOVwWcvgrbbGdhKWhcdRAY+jAubDuyBRaqDQZUCpTYdI9vdns1AohA+//xYMw9ADHAmGZVmUVpjxx6b1mDxiNNdx4ippiqn27G/4S8iYnoHfvlqG75Yvw3+eeBgA8Pi9D2L2WdMx6fzpMJWXcRHztH798nsAwOS5MzhOEh+hUAgHDh9C34LeXEchhBBCCCEkIdis1mZfWOjbfyBmnzcfJ44fxbULL4TL5QQAvPnaS3hx8dtITTOgzFTa2pEBAGnpGbjsgtn1r/n5Jx/g46+W4aZFd8LlcmLhhXNgqaztuvXeW6/h029/wvyLLsMXn3xQX8zUpVt33HbXffC43bjxmktw7MjhBq+RmmZo1cxnT58NANi0fk2D7UePFOGLTz/AvAsvxcdfLsP6NX/B43Gja/eeGDZiFH77+Se8/b//Rj1nPEcvNhXLsnjhjVe5jkHqrPjjV1xx4SXolZvPdRTCsevmX4wavw/Pvf8211HaLa06BV+/sBjdMjtxHYVzIqkCuqxs6LKyEajxwGkxwWk1ocZpj+n4gM8De2kR7KVFEIilUOoyoNAbIVVqqbCKEEJIq+ILxWAYHlg2XL8tHAoiFAzEPDKKkEQWDodgLtqJ6oriqOt8oQjG/KGQqXRxTkZIdCKJHNrMHtBm9kAw4IPbWg6nrRwee0WDn9X/psZpR43TDsuxwtrR4nXjBdfu2YsSc3kbfwWkJT5c+i0VU3VUx4pPUCVjGxMKhfj67Y+R3b0HyivMmHjutIh95pw9AxNGj0V2tx7QajTg8fgoM5dj2+4deO+zj3GsOHKMwbHiE1RMRQghhBBCSB2/33f6nRoxddpMAMBH771VX9QE1HZgemPxy3jt7Y9anK8xbyx+scFrlplKsHvnNgwcPAyLX36uvpAKAFwuJ9at/hNnT58NfWoazHUPu8w6dx4EAiE+ePf1iEIqAKisMLda3jnnX4DhI8fg4IF9+PH77yLWF7/0LIqPH8ONi+7E7PMvqN++f99erPhxKWpqoj8x7ff5Wy1ja/tjzV/YuXc31zHIP7z4xqt4+wXqSESAWxdcjnCYxQsfvsN1lHZHl6LBl8//Fz07d+U6SsIRSmTQZvWENqsnAj4vXHWFVd5qW0zHB31e2E1HYDcdgUAkqX3CXG+EVKWjwipCCCEtxjAMBCIJAj5Pg+1Bn5eKqUi7Fwz4YNq3udHuPiKZElkFwyGUyOKcjJDYCIRiqNO7QJ3eBeFQEG57BVzWMrhsZoRDgZjO4fe66jvgvv35krYNTFps5eYNMFVWwJiaxnWUuEmaYqoKS+VpC6lefONVvP3x+6j4x0X8RHP5rddxHaFRi66+Acb09H/d55wzz0KqTo9dhXtgsVkRZsPo2bUHZp81HTOnTMNN996B1RsbjpSoTOAntwkhhBBCCIm3YDDY7IdEsnPyAAC7dmyLWCvcsxPBYGwXO5rjQOHeiG2WytqRhQf2R7azP1lclZqWXl9MVdC7HwBg47o1Efu3prHjJ+HGRXfBaqnE/XctQigUOfrw5tvvwaxz5+Gd1/+LX1b8AJezGj1z8nDjorvw3Ctv4MVnHsN3X38ecVyoDf+MW+rtTz4AA4AeQUoc6zZvROGB/SjIzeM6CuEYwzC4/bIrIRaJ8OTb/6MHBmNk0Onx5fOvomfnLlxHSXhCsRSazB7QZPZA0OeF01oGp8UU8/iOoL8GjrKjcJQdBV8oru9YJVPrwDC8Nk5PCCGkoxKIpZHFVP4aiOUqjhIR0nI+TzVK926M+Ld9klxjQEbuICoaJO0Gjy+AUm+EUm8EGw7DU22pHwcY9Nec9nhfIICNB4vikJS0BMuy+HXdGlw6cw7XUeImKYqpWJaF1Xb6J6osViss1hjne3KkuI1GbrTUkP6DcMncC/HoC0/jwTvuaXS/a++8BX5/5JPYIwYPwzsvLsadN94aUUxloWIqQgghhBBC6oXrRt41h1yhBADYbZGfe8LhMKqqqpp97tNxu10R204WKbn/0bHq77Xar1Mg+Ptjq7Iuf2Vl63WgOtXocRPx4OPPwmG34ZbrLkeZqSRin6nTZuK8eRfhi08/wCf/6BKze+d23HP7Dfj8uxW45oZFWPHjUni9DTtUhcKxtT2Pt8KD+6krVYL6fMnXeOSu+7iOQRLEjRdeglSNFne9+DSCoRAVVP2Lgh7ZeO/Rp5GVnsF1lHZHIJZCY+wOjbE7gv4auOoKqzxVsV2jCwV8cJQfg6P8GPgCUX3HKplaD4ZHhVWEEEJiJxBLI7YFfNG7ABPSHrjtZpj2b0E4ykNbAKAx9kBqt17U5ZO0WwyPB3lKGuQpaUjr3gc1Lkddx6py+D2R1/8AYNuR4/AHo39PkMTy6/rVSVVMlRSfXh1VVQg28kvpnx6/90EUrt4CY5SLLBefNx/LPvoS239bi5Xf/oT/3HonFHI5fv3ye/z65fctyjdq6HC8/szLWLvsN+z4fR1WfL4Ed1x/M5QKRcS+0V5v1lnnoHD1Fsw66xyMGDwMH736Frb8vAprlv2Kx+95oP48+dm5eO3pF7H+pz+w5edVePXJF6J+rU0ll8nxxL0PYsPWzfhi6Tf/um+0QioAWL9lI6qc1eic2SlijTpTEUIIIYQQ8je+oPnPxHjqCpo0Wl3EGo/Hg1qtbva548FZV3SVmmpok/OPP+NMPPLk87DbrLj52stQfOJY1P1Gjh4HANi+ZVPEms1qxYljRyGTy9GpS7eIdT6f36qZW8vn333NdQTSiGW//IQqZzXXMUgCmXfWOfjqhcXQqlO4jpKwzhk3EUtfeYMKqVqBQCRBSkY3dOozCj2GTYWhZ3/IUlIBxHaDLxT0o8p8HCV716No0wqUH9oOl80MNkGLiwkhhCQWoVgSsS1IxVSkHWJZFnbTYZTs3RC9kIphYOjZD2nde1MhFekwGIaBVKlBatcCdBs4Ed0GnQF91wJIlJoG+63bf4ijhKSp1mzbApfHzXWMuEmKYqoKS2WLjr//trtw7y13QCFX4Ktl3+Gn337GqKHD8PYLrzV4Sro5rrvsSrz1/KvoW9ALf61fg4+/+RwnSotx+QWX4JPX3oFcJo/5XBNGjcXrz7wEm8OOL5Z+g+PFJzD77Bn47xPPo29Bb3y0+G3w+Xx8+8NSbNuzExNH1+7f0l/K9956B1RKFe5/6pFmn2Ngn35QK1U4eKRhCz+GYVBhoWIqQgghhBBCTuLz+c1+D3/o4H4AQN/+AyPWCnr3gyDBW8gX7tkJABg2cnSrn3vSlLPxwKPPwFJZiZuuuQwlxSca3VcoEgEAUjTaqOsntwcDkSP9+PzEaxBd7XRi2S8/cR2DNMLn92Pp8h+4jkESzJDefbH89ffQOzuH6ygJ4+Tvxv9beDVef+AxyKSRnSxIywiEYqSkd0Gn3iPRc9hUpGf3h1xjAGJ8XxIOBlBlPoHSwg0o2rgcZQe3wWUtRzjc/K6bhBBCOjaBKPL3edBPxVSkfWHDYZgP70LFkT1R13kCITr1GoGU9K7xDUZInImkCuiystGl31j0GDoFhh79IFHpsW4/jfhrLwLBIP6K8nBpR5V4V3HbgNVx+hF/jRnUtz8umH0+jp44jvnXXAqnq/ZJ7pfeXIx3XnwNhtQ0lJaZmnXuoQMG4aYrrsX23Ttx7Z231J8bqO029cS9D+HGK67B0/99IabzTRg1Fpcvuh5bdmwDUHsR6a3nX8XIIcPwxrMv46FnH8cPv66o3//Ru+7HuefMxIRRY/HHmr+a9TWcMWY8Zp81Hfc99SjKKmIftXHm+DOQ3a0HxGIxunbqjLHDR8FR5cBjLz7TYD+WZWGJMoKEEEIIIYSQZCWRNP/m8Iofv8e0GXOwYOFVWPPXH/Wj9wQCAa6+/ubWithmlnzzBWbOmYtLL78WmzasxfGjRxqsp6YZUNmEzyUnTZ02A3fd9yjM5Sbcct3lMJeX/ev+u3Zsxagx4zH3wkvw1x+/NhhhOGPOXKQZ0mG1VOLY0cMRx0okkU9Wc23pih/ga6SLMOEewzD49NuvcPF588Gj8VjkHzLTDFjy8hu4+6Vn8PUvy8EwTFKP/VPK5Xjxzvswta57IGlbfKEIakMXqA1dEAoG4LKVw2UxwW2vAMuevutUOBREdUUxqiuKweMLINemQ6nLgFxjAC9BuzgSQgiJPxrzR9q7UNAP077NjY5LFkrlyCoYDpE0cloRIR1ZbQfcrjjhrIHdnTydjjqC39avxbSxE7iOERdJUUwV8Ec+DRyrmWedAwB448N3GxQ7BYJBvPjmYnzy2jvNPvfF580HADz4zOMNzg0AS5b/gAXnXYBzJk+NuZjqp99/qS+kAmoLkb7/+SeMHDIMh44cblBIBQBLf/4R554zE3k9c5pVTKXTaPHQ/92LVevX4tsflzbp2DPHn4Gzzziz/r+PFR/H/z18H/Ye2BexbyBAF/UJIYQQQgg5SadPbfbN8p3bt+D7b7/EjDlz8cHnS7Bq5W8IBoMYOWYc3C4XKivMMd0A5crxo0fwwtOP4fa7H8A7H32NNav+QEnxCajVKcjN7wWP241br7+8SeccMGgI7rrvUfD5fGzfuhlnT58dsY/LWY2vPv+4/r+XfP05Jk89Bz2zc/HJ1z9i7eqVcDmdyMnLx6AhwxEMBvHiM48jHGWEkT41telfeBv7/uefkr4II5GxLIsTpcXYva8Q/Xr15joOSTBSiQQv3/0Azh4zHv/3/FOwOuxcR4qrkz+7Jo8YjadvuwsGnZ7rSEmJLxBCndYJ6rROCAUDcNvNcFpMcNtjG+cXDgXhrCyBs7IEDI8PhTYdSr0Rck0aeAnY0ZEQQkj8CKMUU9GYP9Je+L0ulBRuQMAbvVBElpIKY95g8AWiOCcjJHFsK4zesY0kJgbAtn3J83eWFJ9Gg9Fmz8YoPzsXALBt146ItZ17dyMQbP65+/fqg0AggCkTJmFKlHWhUACdRgu1So2q6qrTnm/P/sKIbZV1Iw731o3z+KeKygoAgCEtrWnB6zx8530QCAR44JnHmnzsHQ/dizseuhdymRzZ3Xvg+oVX4ZPX3sFDzz2BJaeMLwiGqNU3IYQQQgghJ+n0LbtR/PzTj+L48aOYMft8zJgzF9VVDqz+83e8+drL+OaH31FaWtxKSdvGD0u/wdEjRZh/0WUYMHAIxow7A1UOOw4XHcQPS79p8vkM6Ubw6zpgTJsxJ+o+ZabSBsVUXq8XN1x5MeZeeCnGTpiESVPOhlAohMNuxx+/rcAXH7+PfY1cDNLpE6uYqsJSGfWhFpJ4/ly3ioqpSKOmjBqLoX364YFXX8S3v/2cNAWSSrkcj910O+ZMmtLsEbikdfEFQqhSs6BKzUI4FITLZobLaoLLZgYbwzg/NhyC01IKp6UUDI8PuSYNSr0RCo0BvAQfR0wIIaT1RR/zV8NBEkKaxu2ohGn/ZoSD0Rt+pKR3RVr3PmCo+zBJcrui1DCQxMUCOFx8Am6vB3KpjOs4bS4piqlacvFIKa9tq2i1R46aC4fDqKpyNPvcanUKhAIBbrj86n/dTy6VxlRM5XK7IradLERyuRpfEwia/s9gxpRpmDh6LO5+7EFU1BVsNYfb48aOPbtww12L8OXbH+GB2+/G+i2bYK4r9AIQ9WluQgghhBBCkpVeH/kwRHmZCWOHNiyyePKR+/DkI/dF7MuyLL767CN89dlHDbZndeoMmVweMTovViJR7ZOU/lPGxd1y3cJGj2ksIwC899ZreO+t16Ku7d29E/ffvahZOU+14selWNHETrtAbUHVB++8jg/eeb1JxzE+J1w2M0RSBYQSGec3//9ct5rT1yexYRgGK9eswi1XXc91FJLANCo1/nvvQzhn3ETc98rzMFVWdOiiqrPHTsBjN91G3agSGI8vgCo1E6rUTIRDQbjtFXBaTXDZysHG8PAkGw7BZS2Dy1oGhuFBrkmDQm+EQpsOPhVWEUJIUuALRWAYXoMOyuFQEKFggH4XkITlKD8G8+FdQCPvw9O690FKRjfOrwcQkgh2HTwABgxYdMzPrR0Ry7LYW3QIQ/v04zpKm0uKYqqTTxk3h8tT23pRp9GhpKy0wRqPx4NanVLf4anJ53a5wOMxGDHtjGbn40pBTm3HrqfuexhP3fdwxHp6mgGFq7cAAIadNT5ijOGpAsEgNmzdjNwe2ejXqw9++fP3+rXmFHsRQgghhBDSUbW0s5FWp4PdZmtwc10sluCmRXcDAFb/9Xtjh/6rTp27AgAqK8wtyteRSSViVJsOodp0CADAMDwIpXKIpIra/8mU9f8/XjcGVq5ZFZfXIS3DsiwOHilCaZkJmRlGruOQBDdl1FiMGzIMH33/HV7++D3Yq6vBAO3+0vTJr2FE/4G496rrMTC/F9eRSBPw+AIo9UYo9UaEwyF47BVwWmoLq8IxTBVg2TBctnK4bOVgGB5kKam1Hat06TQahxBCOjCGYSAQSxCo8TTYHvR5qZiKJByWZVF5dA/spugPqfH4AhjzBkOuMcQ5GSGJyeurwYFjR6iQqh3aeWAfFVN1FC0pptp38AAKcvIwsG//iGKqfr36QNiCQp+dhbsxfuQY9OzaHUXHmvf0N1d27N0N2Q9Loq6dd84seLxe/PT7zwAAvz96C8tTGepuCoVOuYAiaMHfHyGEEEIIIR2NPrV5Y7pPOn/+Apxx5tnYsW0zrJZKaHV6DBoyHGmGdGxYuworf/u5SefrN2AQxow/A2dNmwmPx4ON69e0KF9HlqJWNfhvlg3D73HC73FG7MsXihsUV9UWWykgFLdeNyuP14t1Wza2yrlIfKxcuwoXnzef6xikHZCIxLjqvPmYf9Z0vPHVp3j9i0/h9dW0605VBT2zce9V12Pc4GH0FH87x+PxodBlQKHLqC2scljgtJTCZS1HOHT664gsG4bbbobbbgaKGMhTUqHQ1RZWCYTiOHwFhBBC4kkgkkYWU/m9EMtVjRxBSPyFggGUHdgCtz16Aw6hRIbMgmEQy+jfLSEnFR4uiphQlWVIx8bPvsOXK37EomceAwC8eOd9mDt1GoZdMBsl5nIuop7Whk+/BQAMv3AOx0niY9fBA1xHiIukKKaSy+TNPnbpzz/i3HNm4ppLLscfa/6Ey13bqUooEODWq1vWXv/DLz/F+JFj8PCd/8Gt99+FSqulwbpUIkF2957YVbinRa/TFlb88StW/PFr1LXzzpmFamc1Hnj6sQbb1So10vR6HDpyOOKYcSNH44yxE+D2uLF5+7YGa3J58//+CCGEEEII6Wi6de/ZouM3b1qPHtm5GDJsJJQqNUKhIIpPHMfXX3zSYPRfz+xcjBkfWxfdadPn4MjhQ3jtledQ5bC3KF9LKRRKnH/Bgpj2Xf7DEpSXmdo40d+yMtJj3jcU8MFb5YO3quHnxNpuVrXFVWKZov7/N6eb1dZd2xEIxPbwC0kMazdtoGIq0iRKuRx3XHYVLpt5Lj7+YSk+WvYdyi2VXMdqkrGDhuKyWedi8ojR4PF4XMchrYzH40OhNUChNYANh+GpstR2rLKWIRT0n/4ELAu3vQJuewXMRQxkKXoodUYodBkQiKiwihBCOgKBWBqxLeCr4SAJIdH5a9woLdwY9UEpAJCqdDDmD6Gib0JOcbSkmOsISUEkFGL56+8hr1sPlFVWYPC8mQ3WTxawnc7sW67Fpt07wTAMjpYmx99dUhRTper0zT52y45t+HLpt5g7cw6+//BL/PrXHwgGgxg/aiycLhfMlRUIs+HTnyiKDVs34/n//ReLrrkByz/7Dqs3rEVJmQkyqRTG9AwM6TcQW3fvwDV33Nzs/IkkI82Ab9/7FHsP7EPR0SOosFRAqVAir2cO+vfui0AggPuffgzVroZvNlry90cIIYQQQkhHo05JQXpGJspP6Zwbq22bN2Lb5tN3I+qZk4eFV8X2AMnYob2blaUtKJTKmHNv37o5rsVUXbIyW3yO2m5W1fB7quGyNlzji8QQS5UQShUQ13WyEkmVEIilUbu47N1f2OI8JL52798LlmWpKw9pMr1Gi1sXLMSNFy7Ar+vW4IPvv8XqrZsBICG7VSnlcsw/azoWTJ+NHp06cx2HxAnD40GuSYNckwa2Z194qqx/F1YFfDGcgYXHUQmPoxLmwzshVeuh1GVAqTdCIJK0eX5CCCFtQxilmCro83KQhJBIniorTPs2NVoErkrrDEPPvuDxaAoPIaeqsFlPvxOAJ9/+H1797KOEfjBo3h03cR2hUXdfcS2yDI0/4FntcuH5D96OumZMNeCCs6fDVuXAjrrriCzLwmyxRN2/o6Fiqhg8/PyTOHLiGObOmIN5M8+Fo7oKv61aiZfeXIyV3/6E4tLmP3n9zqcfYPvuHbj4vPkY2Lc/Jo4eB6fbhYrKCny57Dv8+OuKFmVPJKbyMrzx4bsY3G8ARg4ZhhSVGoFgEGXmcnyx5Bt89PVnOHL8WMRxVExFCCGEEEJIQ3n5vZpdTBWrFT8uxYofl7bpa7SF8jJTQhV3/VPfISOhSusMv9cJv9eFcLB1u0KF/D54/D7g1G5WPB5EkpPFVSdHBiqxZx8VU7U3NrsdFZZKGFo47pMkLwFfgLPGjMdZY8aj6MRxLPvrd/yydjV2HdzPSR4GwMkyLrlUiglDR+DMkWNw9pjxkEqo+CWZMQwP8pRUyFNSwfboC291bWGV02pCyB9LYRXgrbLAW2VBxZHdkKp0UOozoNAZo96UJ4QQkriiFcQGqJiKJIAq8wmYi3aCbaTpRmrXAmgye9LDMIQ0ItbiqAqbNebCK64cN7XtddrmGtFvAK46bz7uffk5PLXozqj7VLtdeOGDd6Ku3X3ldQCAr39ZDv8/uttX2CxJ8bBfUhRTSSUSKGRyuDzu+m2m8jIUjBncYL//PPEw/vPEwxHHsyyLD7/8FB9++WmD7V2yOkEuk+NwlAKgpti2eye27d4Z075ikQhOt7vBtiXLf8CS5T9E3X/zjq0RX+dJ0f4MWkNj56x2OfHyW681+Xxp+tSWRiKEEEIIIaRDyckvwJ9//MJ1DNJEg8dMhkKhBFD7OTMU9MPvccHv/cf/PE4Eajz4u7yg5dhwGD5PNXye6gbbd+ze3mqvQeJn74F9VExFWkXPzl2waMHlWLTgcpRVVuC3DWvx6/o1WLt9K2p8fxerMGDAtuLPpH/KNKRj8ojRmDxiNIb3GwCxSNQmr0PaN4ZhIFPrIVPrkda9D7zVNrisJjgtJgT9sY158lZb4a22ouLIHkiUGij1Rih1RgglsjZOTwghpKWidqbyUzEV4Q7LsrAc3wdbyaGo6wyPD2PuICh0GXFORkj7EmuB1It33oe5U6dh2AWzUWIub7B2xZy5uPicWehsNMJeXY0Va/7C0++8jl/f+ggAMPzCOc3ON27wMFxx7lwMyCuAXCpDmaUCy1f/hVc+fh/VbleDfTd8+m3E682dcjZevOt+LHr6UZRZKrFoweXonZ2DGp8Pv21Yi4cWv4xqtwu9eubgzoVXY3DvPhAKBFi7fSvu/+8LEV9rUylkMrx41/1Ys20LPlr2XaPFVI3h8/iYO+VsAMDHPzR84DYYCsFeXQWtOqVFGRNdUhRTAUCqPhWuE+7T7xiFXquD1W5r0PJcIhbj7ptvBwD8vmplq2Q8HbVShRR1CoqOHYnL6yUK6kxFCCGEEEJIQ7l5BVxHIE2UmdWpvpAKqL0xLBCKIVCLIVPrGuzLhsPw17jri6v+LrRyIRxqnW5WDpcbtmrn6XckCWfvgf2YOHoc1zFIB5ORmoYF02djwfTZCIVCKDpxHDsP7sPugwew6+B+7Ck62KDAqjnS9anon5uPPjl56JuTh745udBrtK30FZBkUVtYpYNMrUNqt96ocdrhPFlYFWOXkhqnHTVOOyqP7oVEkQKF3gil3giRRN7G6QkhhDSHgMb8kQQSDgVRdmArXLboRQ4CsRSZ+cMgUajjnIyQ9qfCam3R2PknbrkDl848F2WWSnzyw1IEgkGcOWI0+ucVQCAQIBgMNjvbrQsux/8tvAr2qir8tmEtLA478rv3wHXzLsLEYSMw48ar4PJ4YjrX5JFjMGn4KPy2YS0+WrYEg3v1wbyp56BTuhFPvvUavnjuv9i4eyc+X/4D8rp1x5kjx6CLMRNnXHFxs/9sAODRG2+DWqHE7c890azjp4waA4NOj/U7t+Nw8fGIdbPVQsVUHUV6WhqOnTjWrOfoFpx/AaZNmoJN27ei0mqBXqfD8IFDkGFIx6r1a7Fi5W+tnvefFHI5Fs5fgFFDR0AgEODnP39v09dLNNSZihBCCCGEkIYKevUFny9AKNT8iwIkvvoNiL0rMMPjQSxTQixTAv94kpVlWYQC/rriKmd9gZXf60KgpmkPDx01RV74NaZn4LevluG75cvquzY/fu+DmH3WdEw6fzpM5WVNeo3mGNJ/ED747xtY/O6bWPzem23+eu3RPo7GsZHkwefzkdutO3K7dcfcKdMA1P78qXI5YbZYYLZZYLZaYLZY4PS4EQ6HEQgGwWMYCPgCCAR8pGq0SNPpYaj7X6pWC4lIzPFXRjoahmEgVWkhVWmR2rUXfC5HfWFVbZfH06txOVDjcsByrBBiubq2Y5XeCJFU0cbpCSGExCpaMVXA502K8UIksQR8XpQWboTPXRV1XaLUIDN/aNTRlISQSJV2a7OLhYb26YdLZ56Lw8XHcc71V9Z3inrq7f/h8+deQYY+FcXNvI41sv9A/N/Cq7Bl724suPu2Bl2oTnabuuOyq/DQay/HdL4zR47GvNtvxoZdtR3iGYbBp0+/hLGDh+LDJ1/AnS88he9+/3sCwXN33IsLzp6OySNG45d1q5v1NUwdPQ5zp07D7c8+AVOFuVnnuOicmQCAj5ctibpeabchv1lnbj+Sppgqp0c21m/Z1Kxj12/ZiLye2Rg1dDjUShWCoRCOF5/AJ9980WD0X17PHJwxZnxM52zKRWGVUoWrLr4MpWUmvPD6f/Hl0m+b+iXEZNZZ5yAz3Xja/fYXHcDvq/9qkwzR5PXMidtrEUIIIYQQ0h7IFQoMHDwUmzeu4zoKidGosRNafA6GYSAQiSEQRXazCodDCNS4o44NDEcpuqt0RL/4S5pHKpHgjDHjMXbEaBTk5CE9zQCWDePoieP46bef8ck3XyBwyhORcpkcN11xDXrl5qNTZhbUShVcHjdKy8rw428r8PWy7+CtiRxfVdbCNu+ENAfDMEhRqpCiVCG3W3eu4xASgWEYSJQaSJQa6LsUwOeugtNysrAqtoJjn7sKPncVLMf3QSxT1XesEsuUpz+YEEJIm+ELRGAYHlg2XL+NDYcQDgXBFwg5TEaSiddpR2nhRoQC0bu1KlMzkZ49ADweP87JCGm//IHmd18//8za8XOvfPxBg2KnQDCIJ996HUv/+0azz335nLkAgP97/smIcX5f/vwTrpgzD7PPODPmYqqlf/xaX0gF1D6s9M2vKzB28FAcOHa4QSEVAHz9y3JccPZ09OqZ3axiKr1Gg6cX3YnfN67D58uXNfl4AMgypGPMwCGwVTnw0+roU9oCgY7/kG/SFFP1zmt+XdyGrZuxYevm0+6Xl52DGy6/OqZzNqWYylRehr4Thse8f3PNOms6hg4YdNr9vlu+LG7FVCqlEsZ0milMCCGEEELIqUaNnUDFVO2EUCTC4KFt+5mOx+NDLFNBLFM12F7bzcrXYFSg3+tClSe2cV0vvvEq3v74fVRUVrRF7Ai79+3BtIvOhb3KEZfXay2D+g7AMw88BkeVAxu3b8Xvq/+EWqXChFFjceeNizBp3ERcfut18Pv99ceoVSqcP2MO9uzfi7/Wr4HdYYdCrsCwgUNwz8234/zps3DBtZfD7WlYBGC2VMb5qyOEkPaFYRhIFCmQKFKg75IPv8dZW1hlNcHviW3Erc9TDd+JalhP7IdIpoRSV9exSqakLiiEEBJnDMNAIJZGFMcGfV4qpiJxUV1ZivJD28CGw1HXdZ3zoOuUQ+8RCGmiYCjU7GN7Z9c2Y9m0Z2fE2rZ9eyIeaGuKQQW94Q8EcM64icC4yHWhUAC9RguNSgV7dfVpz7fzQGSHcbPVAgDYffBAxFp53XWfjNS0Jiav9ezt90AgEODO559q1vEAcNG0meDz+fjq558aLXoLteDvr71ImmKqXjlt32RsyfIfsGT5D23+Om3lspuv4TpChD55vejNByGEEEIIIVGMHD0OLz37ONcxSAwGDxkOqVTGyWvXdrOSQCCSQKbW128PLv8jpuMtVissVmtbxYtQ4/Ph6InjcXu91mKxWXHnI/fh55W/Nbhg98yrL+GD/76BgX364cLZ5+P9Lz6pXyuvMGPY1HFRLx4+ff8jmH7m2Zg361y8++mHDdYcVQ4EgkEIBUlzSYcQQpqNYRiI5SqI5Srou+TB56mG01IGl8UEn+f0Nz4AwO9xwuo5AGvxAQil8vrCKrFcTdctCSEkTgQiSUQxVcDnhViuauQIQlqOZVlYiw/AeiKy2AEAGB4fGTkDoNRnxjkZIR1DuJECxVgo5bVjuSvttqjntVc3vyO7RqWGUCDA7Zde+a/7yaSymIqpnKd0twKAYF0X+VM7X/1zTchv+nWf8yafhTNHjsEtTz5SX5TVVHweH3OnTgMAfPLj0kb3C4WpmKrD6JzVCTKpDB6vh+sopAkKcjv6pE1CCCGEEEKaJz3DiB7ZuThSdBAsy3Idh/yL1hjx19oqY7yg8vi9D2L2WdMx6fzpMJWXNVi7+Lz5mDdzDrIyMuGorsJvq/7Ey28txnfvfQYAmDx3RpNzDek/CB/89w0sfvfNBh2d33/lDQwdMAh9xw/DVQsWYubUc2DQp6K0vAzvf/Exvl62BAAwb+a5uGD2+eiclQVHVRW+/XEpFr/3VtTvkT75vXDZvIswsG9/aNQpqHJW4+DhInzzwxKsWPlbk3LvLzqI/UUHI7Z7vB68//nHePbBxzFkwKAGxVThcBiNXTb8eeXvmH7m2eiS1SnqusVqQYYhvUkZCSGEoLaLY2cV9J1z4fe66kcB+tyx3WwJeN2wlRyCreQQhBI5lPoMKHVGiBUpVFhFCCFtSCiWwnvKtqD/1C2EtJ5wKITyQ9vhtJRGXeeLxMjKHwaJUhPnZIR0HAJ+88diuuq6eKdqtDhRZmqwxuPxoFGpm11M5HS7wDA89J41pdn5uNInJxcA8PI9D+Dlex6IWM9ITUPpH+sBAPnTJ0ct5po8cjTS9alYt2MbDhefaPS1BEnwkF/H/wrr8Hg89MrNw5ad2+lGQzvSKzeP6wiEEEIIIYQkrPETz8ThQ9GfkCSJgc/nY9SYBCymslrBMEyzPx/ff9tduGD2+TBXVuCrZd8hEAhgwuix6JPfCwKBAMEWtFP/N8899CT6FvTCqg1rEQwGceb4M/DInfchGAwip0c2Zk2dhj/XrcGGrZswYfRYXL/wanhrfHjn0w8anOe86bPwwG13IxwOY+XaVThecgJajRa9c/Mxf/b5TS6m+jcn/yya0v58/KgxAICDh4uirldSMRUhhLSYSKqArlMOdJ1y4Pe64bSa4LKYUONyxHR8oMYNW0kRbCVFEIilUOqNUOqMkCg1VFhFCCGtTCCWRmwL+qiYirSNoL8GpYUbG31PIJarkVkwDMIo/y4JIbFrSTHOnkMH0Sc7F0N794sophqY37tF3by3Fe7FpBGjkNO1Gw4eO9rs83Bh697dkEmi/2y6cNoMeLxeLPnjVwBodHzfRdNmAgA++aHxrlRAy4rh2oukKaYCgGEDh2Dzjm1cxyAx4jEMBvcbyHUMQgghhBBCEta0GbPx/tuvJcWM+vZq7PhJ0On1p98xzqqqq5pdSDWob39cMPt8HD1xHPOvuRROV+1TbC+9uRjvvPgaDKlpKD3lQlZryTAYMPPSefWv+f7nn+DHT77GXTfdBqfTiVmXXYCKuicPF7/3JlZ8tgQLL7gY73/xcf33SY+u3XD/bXfD7XFjwQ1XoejYkQavYUhNa9XMc6bVduhas3F91HU+n49rL7kCAKBWqTC43wDkZediw9bN+GrZd1GPqXLGNpqKEEJIbERSOXRZ2dBlZSNQ44HTWtuxqsZpj+n4oM8Le+lh2EsPQyCSQKk3QqEzQqrSUmEVIYS0gmjFVAFfDQdJSEdX43KgtHAjgv7o/74Uugxk5AwErxnjtwghDSlk8mYf+/Uvy3HB2dNx88WX4ud1q+B013aqEgoEuPvKa1uU662vP8ekEaPw7O334OqH7oXZammwLpVIkN+tB7bt29ui12kL3//5O77/8/eoaxdOm4EqlxP/9/yTjR6faUjHuMFDYaty4KfVK//1tRQyWYuytgdJ9ZN+wuixePXdN7iOQWLAMAz69+kHrYbaYxJCCCGEENIYfWoaxo6fhJW//8x1FNKIWefN4zpCVIEWdI6aedY5AIA3Pny3vqjp5DlffHMxPnntnRbna8yLb7za4DVLykqxddcODB80BM+++lJ9IRUAOF0u/LluFWafPQMGfSpM5nIAwPxZ50EoEOB/H7wTUUgFAObKilbLe+GcuRgzfBT2HTyAb3+M/kQfn8/HDZdf3WDb0hU/4tEXnoLf7496TChIBZSEENJWhBIZtJk9oc3siYDPC5fVBKelDN5qa0zHB/01sJuOwG46Ar5IDKXOCKXeCKlKR4VVhBDSTEJRlM5UNOaPtDKntQxlB7aCDUf/vKXNyoa+Sz79PieklaTr9Nh3+BCa86jfhl3b8fGyJbh4+iysfPdT/LhqJYKhECaPGIVqtxtllkqEw+Fm5VqzfQsef3Mx7rnyOqz58Ev8sWk9TpSZIJdKkWVIx/B+A7Bp9y5cfPeiZp0/kV149gzw+Xx89fNPjXauOsmgS41TKu4kVTFVXs8cGFLTWvXCKGkbLMtiwsgxXMcghBBCCCEk4c06bx4VUyUghmHQuUtX9B84hOsoUbWkm1l+di4AYNuuHRFrO/fublGh1uns2V8Ysa3SWltAtffAvog1c2XtmiHNUF9M1begNwBg9Ya1bRUTADBp7ATcfdNtqLRacMt9dyLYyJ+53+9HwZjBAIA0fSpGDB6KRdfciC/f+ghX33ETTOVlEccEQ233Z0wIIeRvQrEUGmMPaIw9EPR54bSWwWktg7fKcvqDAYT8PjjKjsJRdhR8oRgKXQaUeiNkah0YhtfG6QkhpOMQiCUR22jMH2ktLMvCVloEy7HIz5sAwDA8GLL7Q53WKc7JCOnY0nS6ZhVSnXT3S8+gqPg4Lj5nFhZMnw17dRVWrFmFp975H7Z8sRTHHbF1mY3mtc8/xuY9u3DFnLkY0rsvzhw5Bk63C+WWSnzyw1J89/svLUiemHg8HubVPUD5SSMPBP5Tmk7X1pE4l1TFVAzDYOLocfjsu6+4jkJiMGH0OK4jEEIIIYQQkvD6DxyCzl27ofj4sWaPbSOtj2VZzDrvgg75xKpSrgAAWO2RHTrC4TCqqhxt9tquurbt/3SySMnpdkWsnSwaE/xjBINKoQTwd6FVWzhjzDg8/9ATsDnsuOzma1FSVhrTcRWWSixd8SOOnjiOz994H/ctuhPX3xX5pGNH/HdFCCGJTiCWQmPsDo2xO4L+Gris5XBaTfA4LEAMt4FCAR+qyo+hqvwY+ALRPwqr9GB4VFhFCCH/JvqYPy9YlqX3xqRFwuEQzEU7UV1RHHWdLxQhM38YpCptnJMR0vGlafUR20rM5cicOKLBtkXPPIZFzzwWsS/Lsnjr68/x1tefN9jeLTMLCpkch04ca1G+zXt2YfOeXTHtKxaJIq5LffnzT/jy55+i7r9+5/aIr/OkaH8GreF05wyHwxg8d0ZM51LK5ZCIxK0RK6El3ae0CaPGch2BnAYDBp0zO6Fb5y5cRyGEEEIIISThMQyD8+cvoEKqBMIwDOQKBaacPZ3rKI0SCJr/bJXLU1vQpNNEPoHG4/GgVqc0+9zxUO1yAgAMqW3TjnzK+DPwwiNPw2Kz4tKbrsax4uNNPseuwj2oclZjaP9BUdf/WRxGCCEk/gQiCVIyuqJT75HoMWwKDD37Q65JA2K8oR8K+lFlPo6SvetRtGkFyg5uh8tmRriRsUKEEJLs+AJRROEpGw4hHPr3EUSE/JtgwIeSPesaLaQSyZTo0m8cFVIR0kYM+shiqqZI1WgjCmolYjEevuFWAMCK1atadP5YpShV0KrVKGvDh/YSTYa+44/4A5KsMxUADB04GCnqFFRVOVrUNo60HRYszjpjMj1NQAghhBBCSIymzZiNzz56F2WmUiqqSgAsy+LiS6+Coq4DUiIStqCYat/BAyjIycPAvv0jOi7169WnReeOh12Fe9AnvxfGDB+FoyeaXuj0b6ZNmoIn//MwKiyVTepIdSqZVAaFTA63xxN1vSXFcIQQQlqXQChGSnoXpKR3QSjor+1YZTHB7agAYnhfFg4GUF1xAtUVJ8DjC6DQptd2rNKkgcfjx+ErIISQxMcwDAQiKQI1DTvVBn014AtEHKUi7ZnPXY3Swo0I+KJ/5pJrDDDmDgJPIIxzMkKSh1Gf1qLjrzxvHmZNnIz1O7bDbLMgTaPD6IGDYUwz4PeN67Dsr99bKWl0Srkc1869COOGDIOAL8CPq/5o09dLFAwYpLfw7669SLqrbyKhEOedMwtvf/I+11FII3gMg/NnzOE6BiGEEEIIIe2GQCDEVdfdjIfvu5PrKEmPYRhotXqcO+9CrqP8K02KBsXNLL5b+vOPOPecmbjmksvxx5o/60fvCQUC3Hr19a0dtdV9vuRrzJ15Lq679Aqs3bQeh48dbbBuSE2DubKiyeedOXUaHrv7AZjMZVh487Uwmcv/df+8njkoLTfB6WrYBl4oEOC+RXeCz+dj1fo1UY/VJHj3L0IISVZ8gQhqQ2eoDZ0RCgbgspXDZTHBba8Ay4ZPe3w4FER1ZQmqK0vA8Pm1hVU6I+SaNPCoKyEhJMkJxJHFVAGfF2K5iqNEpL1y2cwoO7AF4VAw6rrG2AOp3XpR0wdC2lhBj54tOn71ls0o6J6NsYOHIkWpQigUwpGSYrzz3Vd4+x+j/3r1yMaU0bFNL3vhg3difn21QokbL1yA4rIyPPHWa/ho2ZKmfgkxmTvlbGSlZ5x2v71Fh/Dz2rbvxsWCbfHfXXuRlJ/A5s2cg3c+/YCe2E5Q40eNhdGQznUMQgghhBBC2pUJk6bi0w/fxaGDBwDqw8sZlmVx+TU3QCKRch3lX6Xq9M3+TLxlxzZ8ufRbzJ05B99/+CV+/esPBINBjB81Fk6XC+bKCoRjuGHMlcPHjuLRF57Cg7ffg2/e+QR/rPkLx0uKkaJSo1dePtweDxbecm2Tzjl0wCA8dvcD4PP52LRtK2afPSNin2qXEx999Vn9f8866xycP2MONm/fCpO5DE6XE6m6VIwaOhypOj2OHD+GZ157Kerrpepa1gqfEEJI2+MLhFCndYI6rRPCwQBcdnNtxyp7BdgYxvmxoRCclaVwVpaC4fGh0Bqg1Bsh1xiosIoQkpSEIgm8p2wL+k/dQkjjWJaFw3QEFUf3RN+BYWDo0Q8p6V3iG4yQJJVpSEeKUgWHs7pZx6/ZvgVrtm857X69embj9kuvjOmcTSmmKjGXo8vkMTHv31znT5mGkf0Hnna/L1f8GJdiKgDom5sfl9fhWlJ+6srMMGL8yNFYuXY111FIFBfOOZ/rCIQQQgghhLQ7PB4P19ywCHfccg3XUZIWwzDIzOqMs86ZxXWU00rTt6wY5+Hnn8SRE8cwd8YczJt5LhzVVfht1Uq89OZirPz2JxSX2lspadv4etkSHDpyGAvnL8CQAYNwxpjxsFc5cODwIXzzw9Imn8+YngE+v3YU07nnzIy6T2mZqUEx1c9//g65TI5+vXqjX+8+kEtlcHvcKDp2FO9//jE+++4r1Ph8EefhMTxoNZomZySEEMIdnkAIVWoWVKlZCIeCcNcVVrls5tgKq8IhOC0mOC0mMDw+5Jq0+sIqPo0fIoQkCYE48oGVoI+KqUhs2HAY5iO7UFUefdQ7TyBEZt5QyFLowRVC4oVhGPTLzceqLRvb9LHQL3/+CV/+/FMbvkLbOv+2G7iOEKFvTi7XEeIiKYupAGD+7POpmCrBMAyDTsYsDB80lOsohBBCCCGEtEtDho/EiFFjsT5OTyGRhliWxU233QWBIPE/auujdDYylZehYMzgBtv+88TD+M8TD0fsy7IsPvzyU3z45acNtnfJ6gS5TI7Dx481K5dYJAIA+AP+Btsvu7nxIsHGMgLA4vfexOL33oy6tnPvbtx6f+uMxlyy/AcsWf5Dk47Zvnsntu/e2eTX0mo09YVbhBBC2h8eXwClPhNKfWZdYVUFnNYyuG3ljY4b+ic2HILLWgaXtQwMw4NckwaF3giFNp0KqwghHVq0YqoAFVORGIQCfpj2b4anyhJ1XSRVILNgGERSRZyTEUL65OTiry0buY5BmkApk6OrMYvrGHGR+Fd428ioIcPRo2t3HDl+lMb9JQiWZXHpvAvB4/G4jkIIIYQQQki7xDAM7rjnQSyYNwNej4c+68TZ1GkzMWLUWK5jxKSlY+L0Wh2sdluDf2MSsRh333w7AOD3VSubdd6unToDAMorK1qUr6NiAKTpU7mOQQghpJXUFlYZodQbEQ6H4LFXwmk1wWUti62wig3DZSuHy1YOMAzkKWlQ6jOg0GaALxTF4SsghJD4EYqoMxVpOr/XhZK9GxCocUddl6Wkwpg3hAqSCeFIr+49uI5AmoAB0CcnDwzDcB0lLpK2mIrH4+HWq6/HTffewXUUgrpxGOkZOLcdjMMghBBCCCEkkaWmGXDL7ffgyUfu4zpK0mAYBlqtDjctap0uR/HQyZjZouMXnH8Bpk2agk3bt6LSaoFep8PwgUOQYUjHqvVrsWLlb00636B+AzBp7ATMOusceDwerNm4rkX5OioWQFaGkesYhBBC2gCPx4dClw6FLh1sOAy3o7JuFGAZwsHA6U/AsnDbzXDbzQCzEzJ1KpR6IxS6dAiE4rb/AgghpI1FHfPnr+EgCWkv3I5KmPZtRjgU/fdoSkZXpHXvA4ahJg+ExAvLsvB7nHUPBJiRHrCCYRh6ILSdYAGMHjj4tPt1FElbTAUAE0ePQ79efbBz726uoyQ9lmVxy9XXQySkym9CCCGEEEJaauq0mVj5+8/YQKPN44JlWdz5n4ehVKm5jhKz/Oy8Fh2/fstG5PXMxqihw6FWqhAMhXC8+AQ++eaLBqP/8nrm4Iwx42M657nTZuDgkcN4dvFLsDscLcrXUkqFApecf2FM+363fBlM5WVtnOhvBbn5cXstQggh3GB4PCi0Bii0BrDhfvBUWWoLq6xlCAX9pz8By8LjqIDHUQFzEQOZWldXWJUBgUjS9l8AIYS0AYE48udXwOcFy7JJ0yGDxM5Rdgzmw7tQe+v/VAzSuveGxtg93rEISUrhcAjeKgtcNjNctvIGXQXVchl6d8rE7hMlHCYkTTF5xGiuI8RNUhdTMQyD26+9CZfcdDXXUZJeXs8cnDXxTK5jEEIIIYQQ0iEwDIP/u+chXDJ/JjxuNz3d1camTpuJEaPHcR2jSZQKBTplZqG4tHkXqzZs3YwNWzefdr+87BzccHlsn7kLxiTOk21KhTLm3Ju2b41rMVUvKqYihJCkwvB4kGvSINekge3ZF54qK1wWE5zWMoQCvhjOwMJTZYGnygLz4V2QqmoLq5S6jKhdXgghJFHxBSIwPB7YcLh+GxsOIRwKgC+g0aakFsuGUXl0L+ymI1HXeXwBjHlDINekxTkZIckl6K+By2aG21YOt6MSbDjU6L4j8rKpmKodYAAY0wzIT6LRjEldTAUAg/sPxNjho7Bqw1quoyS1RdfeCB6P2mgSQgghhBDSWlLTDHjwsWdx16LruY7SofXIzsGiO//DdYxm6Z2b3+xiqlgtWf4Dliz/oU1foy2YyssSqrjrn3rltqyrGCGEkPaLYXiQp6RCnpKKtB594a221nesinXUlbfaCm+1FRVHdkOq0kKpM0KhN0JIhVWEkATHMAwEIikCNe4G2wM+LxVTEQBAKBhA2YEtcNsroq4LJXJkFgyDWKaMczJCOj6WZeFzV8FlK4fbZkaNyxHzsSPzeuLNX1a2XTjSKlgAU0aNTapukElfTAUAd920COu3bkIwEAQbtd0jaUsTRo3B6KEjuI5BCCGEEEJIhzN85Bhce9Nt+N8rz3MdpcNhGAYqlRpPPvcqpFIZ13GapVdeAZb/8SvXMUgTZBjSkaJO4ToGIYSQBMAwDGRqPWRqPdK694HXaavtWGUxNaGwygZvtQ0VR/dAotRAqTNCqTdCKGmf720IIR2fUBxZTBX01QDy9jNynbQNf40bpYUb4fc4o65LVTpk5g8FX0iFd4S0lnAoCI+jsrYDld0c83vQU/XI6ozOhjQUmyuoUiPBTR6ZPCP+ACqmAgB069wVt1x1PZ577WWuoyQVhmGgkMvx0B3/SaoKRkIIIYQQQuJp/kWX4cihg/h5+TKuo3QYDMOAx+PhsWdeRnqGkes4zdYnr4DrCKSJ+uT34joCIYSQBMQwDGQqHWQqHVK79UaNyw6npQwuiwkBnyemc9Q47ahx2lF5bC8kihQo9EYodUaIpPI2Tk8IIbGLNp406PNykIQkEk+VFaZ9mxAK+qOuqw2dYejRDwxNyCGkxQI1HrjsteP7PA4LWDZ8+oMiMJCqdVBoDFBoDRBKFZhz5hG89NF7rZ6XtA6GYaBVp2B43wFcR4krKqaqc+ncC/HrX39g597dXEdJGizL4j+33olUvZ7rKIQQQgghhHRYDMPgjnsfwvHjR7G/cA/XcToElmVx2133o9+AQVxHaZF+vftCLpPB7YntJivh3tjho7iOQAghJMExDAOpUgupUovUrgXwuavgrOtYdWo3l8bUuByocTlgOVYIsVwNpb62Y5VIqmjj9IQQ8u8EIknEtqCfiqmSWZX5BMqLdgBs9H42qV17QZPZg5o6ENJMLMuixmmvH9/n81Q36zw8gRDyuuIpuSYtYjzrRefMwiuffIBwuDnFWaStsSyLi8+ZCZFQyHWUuKJiqjp8Ph9P3PsgZl12AY37i5MJo8di+plncR2DEEIIIYSQDk8sFuOp51/FTddciuITx7mO0+4tWHg1ps86j+sYLSYSCjF2+Cga9ddOMAyDcUnWTp0QQkjLMAwDiSIFEkUK9F3y4XNXw2k1wWkpRcAbW2GVz10Fn7sKluP7IJKp6gqrMiCWqdo4PSGERBJG6UwVoM5USYllWViOFcJWWhR1neHzYcwZDIUuPc7JCGn/QsFA3fi+crjtZoQC0bu+nY5IpoRCY4Bcmw6pSgOGabw7nDE1DVNGjsHyNX81NzZpQzyGwUXnzOI6RtxRMdU/dOvcFYuuvgHPLH6J6ygdGsMwUCmUeOj2e6kSnBBCCCGEkDjR6vR46bV3cePVl6DMVMp1nHZr3kWX4sprb+I6RquZMHocFVO1AwzDoF+vPtBptFxHIYQQ0k7VFlapIVGooe+cB7/HWduxymqC3+OM6Rx+TzWsJ6phPbEfIqkCSr0RCr0RYpmKrvMSQuKCxvwRAAiHgig7sBUuW3nUdYFYisyCYZDI1XFORkj75fe667pPlcNTbW2029u/YhjI1HootOmQaw0QSZo2LvqSmXOomCpBnTlyDDLTDFzHiDsqpjrFpfMuwu59e+lichthGAYMw+Clx56h8X6EEEIIIYTEWWqaAa+88T5uufZymEqLuY7T7sy98FJcf/MdHepm4ZjhI8Hj8aiNeoJjWRYTR4/lOgYhhJAOgmEYiOUqiOUq6LvkwedxwlVXWOVzxza6xe91wVp8ENbigxBK5PWjAMVydYd6r0QISSwCUZTOVDTmL6kEajwo3bex0d9XEqUGmflDo46EJIT8jWXD8Fbb4LKZ4baVw+91Nes8fKH47/F9KangCZo/Bm70gMHoltkJx0wlYJtTzEXazKUzz+U6AieomOoUDMPgsXsexNHi49h/6CDXcToclmVx36I7MWzgYK6jEEIIIYQQkpQMhgy8+uYHuOnqS1BaWsJ1nITHMAxYlsWCy67Cldfd3OFuDqqVKgzpPxCbtm2hYfcJbvxIKqYihBDSNsQyJcSdc6HrnAu/11Xbscpigs9dFdPxgRo3bCWHYCs5BKFEBqWutmOVRJHS4d47EUK4FW3MX9BXA5Zl6edNEvA6bSgt3IRQwBd1XZmahfTs/uDx+HFORkj7EAr44bZXwGUvh9tWgXAo0KzziOXq2uIpbXqrvt/j8Xi4Zu4FuPvFZ1rlfKTlGAC53XtgdJLWdlAxVRRSiQSLn3wB5115MRxVVVT52IrmTD0L82edx3UMQgghhBBCkppMxMcd112G19//BAeKjnIdJ2Gd7Kx7yx33YvZ58zvsxflZZ52Djdu2cB2DNIIBg975BejZrTvXUQghhCQBkVQBXacc6DrlwF/jru1YZTGhxuWI6fhAjQe20iLYSosgEEuh1NV2rJIoNR32vRQhJH54AiEYHh9sOFS/jQ2HEA4GwBeKOExG2lp1ZQnKD24Hy0bvqqzvkgdtVg79riHkH1iWhd/rrOs+ZYa32tqs8zA8HmTq1PrxfdEKW1vL/LOm439ffIITZSaq0UgALIB7r7wePB6P6yicSM6vOgYZhnS8+sTz4PN49Iu3lRR07YT5owfCZTVxHYUQQgghhJCkFajxwLRvExQyKW69ZiEmjB7OdaSEpVAo8fx/38Kc8y/o0J8Lp06YDJVSyXUM0ggWLC6YfT7XMQghhCQhkUQObVY2uvQfh+6DJyO1W29IlNqYjw/6vLCbDuPErtU4svkXmA/vhqfKSjfGCCHNxjBM1PFtAR+N+uuoWJaF5fh+lB3YGrWQiuHxYcwbAl2n3A79uZ2QWIXDIbjtFTAf3o2jW3/DsW0rYTlW2ORCKoFIAnV6V2QWDEPPYWchq9dwpGR0bdNCKgAQCgS464pr6f1ighjWpx8mDhvBdQzOUGeqfzGgTz88//CTWPTA3QBA37Qt0DXDgHsumQchnwfT/i0w9AwiJb0L17EIIYQQQghJKqFgACWFGxAK+gEAAj4fF86ZjqwMAz75ZhlYlqXPPXW6duuBp154FcbMTlxHaXNisRjnnTML7372EddRSBQqpRJTJ07iOgYhhJAkJ5TIoM3sAW1mDwR8XrisZXBaTDHfmAv6a+AoOwJH2RHwhWIo9UYodUZI1Tq6+U0IaRKhWIpAjbvBtqDfC0DNTSDSZsKhIMoPbYfTEr1Jg0AkQWbBMEgUKfENRkiCCfp9cNvNcNnK4XZUgA2FTn9QFBJFSl33qXSI5SrO3qNNHzcRr332EfYUHeTk9cnf7rnq+qR+r07FVKcxedxEPH3/I7jzkfvBMAzdWGiGrFQ9Hrr8Iiikf1eqmot2IBwMQJvVk8NkhBBCCCGEJA+WZVF2YCv8HmfE2plnTsGQM2bhkfvvgqWygoN0ieHkZ74JZ0zBXfc9AplcznWkuJk781y89/nH9Jk3AZ07bRYk4sin7wkhhBCuCMVSaIzdoTF2R9BfA6e1DC6LCZ4qS0zHhwI+OMqOwlF2FHyhGApdBpT6DMjUejAMDdMghPw7QZSuKEHqTNXhBP01KC3c2OiYWbFCjcz8YW3eJYeQRMSyLHzuarht5XDZzahx2pt1HobPhzwlDQqtAXKNIWrnPy7weDzce9X1uPCuW7mOktTOHDkGQ3r35ToGp6iYKgbTJk0FANz16AMAqENVU/Ts1h2PXbMQYtYfsVZ5bC9CQT/0XfKTuqKREEIIIYSQeKg8uhduuzliu0AsRWb+UHQRSfDhF0vx6ovP4Kdl3yXlwyRKlQq33Xk/Jk6eynWUuOucmYXRw0Zg9YZ1XEch/8AwDObNOpfrGIQQQkijBCIJNBndoMnohqDfB5ettmOVx2EBcPr3kqGAD1Xlx1BVfgx8gQgKXTqUeiNk6lQwPCqsIoREilZMFfDXcJCEtJUalwOlhRsRbOTvVaEzIiNnAHh8us1Nkkc4FIKnqhIumxluW3mj3x+nIxTLINemQ6E1QKrWgcfjt3LS1jF28FBMHTUWK9au4jpK0mEYBiKhEPdfexPXUThHv2ViNG3SVIiEItz+4D0IhcNJd1OhOfKzc/HOi4uhUihh2r856o0bW8khhIMBpPXoSwVVhBBCCCGEtBFH+XHYTYcjtjM8PjILhtU/eaZQKHH3/Y9iwqQpePqxB5KiS9XJorFxEyfjtjvvg0ar4zoSZ6695AoqpkowZ0+ags6ZWVzHIIQQQmIiEImRkt4VKeldEQr4a0cBWk1wOyqBGK6nh4J+VJlPoMp8AjyBEAptXWFVSmrC3ugjhMSfMErnFOpM1XE4LSaUHdwGNhx9TJmuUw50nfPoniJJCgGfF25b7fg+T5Wl0e+L05GqdJBrDVBoDRBJle3i+4dhGDy56E6s37kd1W4X1WbEEcuyuOfK69A9qxPXUThHxVRNMHncRLz78uu4+d474Kiu4jpOQps0dgKe/M/DkMtkAIDM/KEoO7QNzsrSiH0d5ccQCgWRkT2AnjYihBBCCCGklXkcFpgP74y6ZswdBIlcHbF92IjR+PCLpXj9vy9g2ZKvO+QFi5NFVDqdHjcuuispu1GdakCffpgweixWrqGn/hIBn8/HzVdey3UMQgghpFn4QhHU6V2gTu+CUNAPl7W8rmNVJVg2fNrjw8EAqiuKUV1RDB5fAIU2HQq9EfKUNPD4VFhFSDKjMX8dE8uysJUcguX4vqjrDMNDenZ/qNLo5j7puFiWRY3LUTu+z2aGz928egQeXwC5xlA/vo8vFLVy0vhI0+rw+C2348bHH+I6SlIZ2rsfrpgzl+sYCYGKqZpocL8B+Oqdj3Hj3bfhwOFDXMdJKCdvRlx32VW4YeFV4P2jMIrh8ZCRMwg8vhBV5ccijnVWliAcDMCYN4Q+DBNCCCGEENJK/F4XSvdvitoJILVrARS6jEaPVSiUuOOeB3H+BQvw1v9ewaqVv7Vl1LiTyxVYcPnVmHPeBRBLIp9sTla3XnU9/ly7ukMW0LU382bOQScjdaUihBDS/vEFIqgNnaE2dEYoGIDbVltY5bZXxFZYFQqiurIE1ZUlYPh8KDS1HavkmjQa8URIEoo65o+Kqdq1cDgEc9FOVFcUR13nC8XIzB8KqUob52SEtL1wMAC3oxJuuxkumxmhgK9Z5xFJFX+P71NqO0wDk1kTz8QPf/5B4/7i4OR4vxfu+k+DOo9kRp80miEzPQOf/O9d3Pv4g/jlrz+4jpMwRCIRnvrPw5gyYVLUdYZhYOjRF3yBELaSyEI0t92Mkr3rkVkwDHyBsK3jEkIIIYQQ0qGFggGUFm5EOBiIWFOldYYms2dM5+nStTsee/olFO7ZhTcWv4jtWze3dtS4OPnwh0gkxrwLL8H8BQuhVKq4jpVwsrv3xMwp07BkxQ9cR0lqErEE1156JdcxCCGEkFbHFwihSusEVVonhIMBuOwVdYVV5phG17ChEJyWUjgtpWB4fCi0Bih0Rii0BiqsIiRJCEVROlP5a8CybLsYXUUaCvp9MO3fBG+1Leq6SKZCVsEwCCWyOCcjpO34a9z14/u8VdaYissjMAxkKl19AZVIqmj9oAng5Li/jbt3wOF00sN/bYhlWdx39Y3olkkdAE+iTxfNJJNK8cIjT+Hdzz7EK2+/jmAwyHUkTnXv0g3PPvgY8rNz/3U/hmGQ2rUAPIEQlmOFEeveaiuK96xFVq8REAjFbRWXEEIIIYSQDo1lwzDt3wy/1xWxJlXpYOjZt8kXmQt698VLr72LHds247uvPseqP39DOByuL1JKdFqdHjNmn48Zs+dCp9dzHSeh3XDFNfjx958RDATBIvH/bjuihfMvhl6r4zoGIYQQ0qZ4AiFUqZlQpWYiHArCXVdY5bKVx1ZYFQ7BaTHBaTGB4fEg1xig1Bkh1xroYV1COjCeQAiGx2/wc4INhxAOBtrtKKtk5XNXo7RwIwI+T9R1ucYAY+4g8OhnOmnnWDYMb7Udbnvt+D6/x9ms8/AFIsi1Bii06ZClpCbN+500rQ5vPfwk5t1xM8LhcLu4DtkezZk0BQtnn8d1jIRCxVQtwOPxcOVFl2HciNG45/GHUHhwP9eR4o5hGFx50WW4YeFVEIlif5Oqy8oGXyCEuWhnxJrPVYXiXWuQ1XskhFHatRJCCCGEEEL+XcWRPfA4KiO2C8UyGPOHgMdr3mhthmEwYNBQDBg0FJUVZvyw9Bt8/+1XsFojX4tL/yzwGjh4GGadNx+jx46HIEkuMrVUZnoGbr7yOjz/v1e4jpKUunbqjKsWXMZ1DEIIISSueHwBlHojlHojwqEQ3I66jlW2coRDp3+QmQ2H4bKWwWUtA8PwINOkQanLgEKXkTQ3GglJFgzDQCCWIOB1N9ge8HmpmKodcdnMKDuwpdGf8ZrMnkjtWkDdxki7FQoG6kf3ue3mqJ3jYyGWqeoLqCRKTdJ+T4zoNxCP33w77n7xGa6jdEj9cvPxzO13J+2/r8ZQMVUryO7eE5+/8T7e+fRDLH73DQRDp39qpiPo3qUrnrj3IfQt6N2s41PSu4LHF6Ls4FbglApSv9eFE7tWo1PvkR22LSEhhBBCCCFtwW46AkfZ0YjtPL4AmQXDWq0DbGqaAQuvuh4LFl6FDevWYM1ff2Dd6j/hcNgBgNOOVTl5BRg9dgLGn3EmunTtzkmG9u6yeRfht7/+wM7CPVxHSSoMw+DJ/zwMiVjCdRRCCCGEMzw+H0pdBpS6DITDIXgclbUdq6zlCIdOfyOSZcNw28rhtpUDRTsgT0mFUmesLayiQgtCOgShSBpRTBX0ewGouQlEYsayLOymI6g82shnTYZBeo9+UKd3iW8wQlqB3+OEy2aGy26Gt8oKNKPbN8PwIEvR147v0xhoxOU/LJg+G/uOFOGDpd9yHaXDYBgG+hQN3nnkKUjpWlQEKqZqJQKBANdccjkmjh6LJ15+Dhu3beE6UpuRiMVYOH8Brl6wEGJxy27EqFIzwRcIULpvc0Tr5qDPixO71iCr1whIFPQGmBBCCCGEkNNx2ytQcST6BcmM3MEQy1Wt/poCgRCjx07A6LETEA6HsW/vbqxdvRJrV/2JY0cPt0lB1amFWhKJBP0HDcHosRMxcvQ46FPTWv01kw2fz8fj9z6E2QsvoHF/cbRw/sXo16sP1zEIIYSQhMHj8aHQpkOhTQcbDsPtqITLaoLTWhZbhweWhdteAbe9Aji8EzK1Hkp9bWFVaz1kQAiJP0GUqSYBn5eDJKQp2HAY5sO7UGU+HnWdJxAiM38oZGp9nJMR0jxsOAxPtRVumxkuWzkCNe7THxQFXySGQpMOhdYAWUoqeHwq4WjMwzcswsFjx7B+5zauo7R7DMNAyBfg3ceeQQZdS42KvhNbWXb3nnj3pf9h3eaNeOH1/2LfoQOcPpHdmvh8PubOmINrL70CqbrWeyMj1xiQ1WsESgs3RLTzDAV8KN69Flm9hkOq0rbaaxJCCCGEENLR+DxOmPZvRrSn3tK69YZCa2jzDDweD7369EOvPv1w9fW3wuN24+CBfTi4vxAH9u/FgX2FKCk+jnA43OzXkMnk6JmTh9y8AuTmFyAnrwCdOncFn9+80YWkcd27dMUtV12P5157mesoSaFb5y646YpruY5BCCGEJCyGx4NCa4BCa4ChRz94qixwWk1wWcsQCvhPfwKWhcdRCY+jEuai2sIqhd4IpS4DAhE9iU9IeyKMUkwVpGKqhBYK+FG6fzO8VZao6yKpApkFwyGSyuOcjJCmCQZ8cNeN7nPbK2IaRxyNRJFSP75PLFfTeLUYCQUCvPPoU5h7+43Yc+gg13HaLYZhwOPx8MZDj2Ngfi+u4yQsKqZqAwzDYNTQ4RgxeCh+XvkbXnrrNRSXlnAdq0WmTZ6Km664Fp0zs9rk/DK1Dp36jELJ3vURH3zDoQCK96xDZv5QyDVUFUkIIYQQQsipQgE/Sgs3Rr2Ao07vihQjN6PuZHI5+g8cjP4DB9dvC4VCqHLYYbVaYKmsgNVSCZvVgmAwgFAwhFA4DIFAAD6fD6lMBr0+DfrUVOh0qdDpUyGT04XVeLp07oVYtX4tNm3vuN2XucYwDAQCAZ6675EWd38mhBBCkgXD40GuSYNckwa2R194q6xwWk1wWsoQCvhiOoenygJPlQUVh3dBqtLVd6yKVqRBCEksAhEVU7Unfo8TJYUbG+3aI0tJhTFvCPgCYZyTEXJ6LMvWje8rh8tmRo3T1qzzMDw+5CmpteP7tAYq5G4BtUKJz555BeffdgP2Hz3MdZx2h2EYMAyD1+57BGeOHMN1nIRGxVRtiMfj4awzzsTkcROxcu0qfPrtV9i4bTPXsU7rZCcthUyO2dNmYP6sc9Gtc9c2f12JIgWd+4xG8d71EW962XAIJYUbYMwdDKXe2OZZCCGEEEIIaS/YcBil+zdHvSgpU+th6N4noZ5u4/P50Or00Or0yM7J4zoOOQ0+n48XH3kKc69agNLyMq7jdEgsy+LRO+9DH3oSkBBCCGkWhuFBlpIKWUoq0rr3hbfaBqfFBJfVhKC/JqZzeKut8FZbUXFkN6QqLRQ6I5R6IxVWEZKgoo35i/X7ncSX21EB074tCIeij2ZNyeiGtO69wTC8OCcjpHHhcAjeKkt9AVVzizUFYmnduGIDpGo9eDzqqt5atGo1vnrhVcy742YUHj7EdZx242RHqv/d/yimjZ3AdZyER8VUcSAQCDB53ERMHjcRh48dxRdLv8F3P30Pt8fDdbR6/xxFmNsjGxfOmYuzJ02BTBrfD4simbKuoGodAt5TbgaxLEz7NyO9Z3+o07vENRchhBBCCCGJiGVZmA/vitomXyiRw5g3BAyPLkiSltGkpOC1p1/E/GsWosZX0yHG2CeSyy9YgBlTp3EdgxBCCOkQGIaBTK2DTK1DWvfeqHHa4bSY4LSaYr4R6q22wVttQ+XRPZAoNVDqjFDoMyCSUIdUQhKFQBzZ0SVAnakSjr3sKCoO7wYQ7TMkg7QefaDJ6BbvWIREFfTXwGUzw20rh9tRCTYcatZ5JEpt3VjidIhkyoR6wLGj0apT8NULr+Kiu27Fjv37uI6T8BiGgYDPx5sPPUEdqWJExVRx1qNrN9x7yx249eobsGbjOqxcuwp/rluNqupqAACD6G8p2lpezxxMGD0WE0eNQ35OLqc/2IUSGTr3GYOSvevhc1dFrJcX7UAoGIA2qycH6QghhBBCCEkcdtMRVJmPR2zn8YXIKhgGvlDEQSrSEWV374lnHngUN917B9dROpQxw0di0TU3ch2DEEII6ZAYhoFUpYVUpUVqt16ocTlqO1ZZTAj4YnvQucZpR43TjspjeyFWqKGs61glkiraOD0h5N9E6xoX9HvBsiwVLiQAlg2j4sgeOMqORl3n8QUw5g2BXJMW52SE/I1lWfjcVXDZyuG2mVHjcjTrPDy+oHb0sDYdck0aBEJx6wYl/ypFqcJXzy/Gomceww9//cF1nISmS0nBu48+g0EFvbmO0m5QMRVHZFIpzhx/Bs4cfwaCwSB27N2NlWtWYcPWTTh4pAih0N/Vrv/sGtVa1CoV+hX0wfiRYzBu5GhkGNJb9fwtJRCJ0anPKJQWboC3OnL2bOWxvQiFAtB3zqM3xoQQQgghJCm5bGZUHt0TZYWBMX8wRDJl3DORju2MMeOx6Job8eIbr3IdpUPo3qUbnnvwCfD51OafEEIIaWsMw0Cq1ECq1CC1awF87qrajlUWU9Rx2dH4XFXwuapgOb4PYrkKSr0RSp2R3ncTwgEeXwiGx2/QOYYNhxEK+qmQgWOhYACm/VvgcVREXRdK5MgsGAYx/ewkHAiHgvA4KuGymeGylyPk9zXrPEKJHAptOuRaA2QqHXWF55hMKsXrDzyGVz75AM+8+0ab1Fa0d31z8vDuo08jI5WKWJuCiqkSgEAgwOB+AzC43wAAgM/nw8EjRdh7YB8KD+zH/qKDKDOXw+6wI9zEb3yxSIw0vR6dMzuhV14+euXmoyA3H0ZDesIXIfEFQmT1GgHT/s1w2yPfdNmKDyIcDCCte5+E/1oIIYQQQghpTT53NcoObIm6ltajD+Qp9MGYtI0rL7oUTpcLb3/yPtdR2rXOmVl476X/QamgrhaEEEJIvDEMA4kiBRJFCvRd8uFzV8NlrS2s8ntdMZ3D566Gz10Ny/H9EMmUDQqr6Fo1IW2PYRgIxdKI79mgr4aKqTjk97pRWrih0Z+lUrUemXlDqIs2iatAjQcue+34Po/DApYNN+MsDKRqHRQaAxRaAxVSJyCGYXDLxZcht2s33Pj4Q/D6ariOxLmTRWWzzzgTz95xD6RRRuSSf0fFVAlILBajT34v9Mnv1WB7MBiEzWFHpdWCCkslXG43QqEQgsEgGB4DIV8AgUAArUaLNH0qUnV6KOTydv3hjccXIDN/GMoOboPTUhqx7ig7inAwgPTsAVT1SwghhBBCkkIw4ENp4UaEQ8GItZSMbtBkdOMgFUkWDMNg0TU3IBDw44MvP+U6TruUmZ6B915+Hal6PddRCCGEkKRXW1ilhkShhq5zHvweJ5wnC6s8zpjO4fc4YT1xANYTByCSKqDUG6HQGSGWq9r1tXlCEp1AJIlSTOUFFGqOEiU3T5UFpn2bEQr6o66rDV1g6NGX7uWRNseyLGqcdrhs5XDZzPB7qpt1Hp5ACLnGUNuBSpMGvkDYyklJW5g6ehx+eO1t3PDYA9h/9AjXcTglFAhwz5XX4arz5tN70maiYqp2RCAQIE2fijR9Knrl5nMdJ24YHg8ZuYPAEwhQVX48Yr26sgShUBDGvMHg8Wg8AiGEEEII6bjC4RBM+zYh4PNErMlSUpHWnWbek7bHMAzuvHERhEIh3v7kA67jtCtdsjrh/VfegIHaqhNCCCEJh2EYiOUqiOUq6Dvnwedx1nWsKoPPXRXTOfxeF6zFB2EtPgihRF7bsUpvhFiupptYhLQygVgasS3g93KQhFSZj6O8aCfQyHSd1G69oTF2p5+DpM2EggF4HBVw2cxw28yNFvWdjkimhEJrgFyTDqlKA4ah4r/2KK9bDyx//X28/PF7eOWTDxAON6cbWft0shvVoILeeOHO+9CzcxeuI7VrVExF2gWGYWDo0Q98gRC2kqKIdbetHCV7NyArfyh4VBlMCCGEEEI6IJZlYS7aCW+1LWJNJFXAmDeELvKQuKntUHUjZFIpXnn79fqLNaRxuT1z8OZzryBVRx2pCCGEkPZALFNCLMuFrlMu/F4XnBYTnFYTfK7YCqsCNW7YSg7BVnIIQrEMirrCKokihQoKCGkFwijFVEEfFVPFE8uyqDxWCHtp5H07AGD4fBhzB0OhTY9zMpIM/F5XXfFUOTzV1kaL+f4Nw/Bqx/dp0yHXGiCSyNsgKeGCSCjE/y28GlNHjcOtTz+C/UePgAHQ0a9cCQUC3HXFtbjq3Hng86kJTUtRMRVpNxiGQWrXXuAJRLAcK4xY91ZZULxnHTJ7DaeZ2IQQQgghpMOxlRahuqI4YjtPIERmwXBqN07ijmEYXHvplejauSvuefxB+Hw+riMlrCkTJuHxex6ETBp5w4cQQgghiU8kVUDXKQe6Tjnw17jhspTBaTWhxmmP6fiAzwN7aRHspUUQiKVQ6uoKq5QaKqwipJmidaaiYqr4CYeCKDuwFS5bedR1gViKrILhEMtVcU5GOio2HIbXaYPLVg63zRwx5jNWfKG4rvuUAfKUVGrS0cH1ycnF8tffx2uff4zFn30IT00N15HazPghw/DwDbeiZ+euXEfpMKiYirQ7uqxs8PlCmA/vjFircTlQvGsNsnqPjPpUAiGEEEIIIe2R01oW9YECMAwy84dCJKUn5wh3pk6YhC5ZnXDD3behvMLMdZyEcbJb181XXotrLrmCbpQSQgghHYRIIoc2qye0WT0RqPHAaS2Dy2qK2kE2mqDPC7vpMOymwxCIJFDoMqDUGyFV6ej9AiFNIBBFG/PXcW+SJ5JAjQelhRvh81RHXZcotcjMHwqBiBofkJYJBfxw2821HajsFQiHAs06j1iuri2g0qZTh8gkJBIKceuChVgwfRZe+eQDfLD0GwSCQa5jtdjJ604D8gpw79U3YGT/gVxH6nComIq0SykZXcETCFB2cFtE20a/11VXUDUCIqmCo4SEEEIIIYS0jhpXFcoObI26ZujRDzI1jQwj3MvPzsVXb3+EW/7zf9i2O/LBl2QkFonxzAOPYtLYCVxHIYQQQkgbEUpk0Gb2gDazBwI+L1zWMjgtJnirrTEdH/TXwFF2FI6yo+ALxVDqM6DUGSFV62iENyGnQWP+uOGttqF03yaEAtE7E6tSs2DI7g8ej8ZLkaZjWRZ+r7NufJ855t+np2J4PMjUqVDo0iHXGKgBBwEA6FI0ePiGW3HlufPw/Adv4+tfloNl2XY7/q97Vifcc+V1mDp6HBUIthEqpiLtlio1Czy+EKb9m8CGww3WAj4PTtQVVEnkao4SEkIIIYQQ0jJBfw1K920EGw5FrGkyeyAlvQsHqQiJTqfR4r1X3sCbH72L1z94B6FQ5L/bju7kBbj+vfviiXseRNfO9D1KCCGEJAuhWAqNsTs0xu4I+mtqO1ZZTPBUWWI6PhTwwVF2DI6yY+ALRbUdq3RGyNR6MDwqrCLkVI2N+WNZlm4qt5HqihKUH9oOlg1HXdd3yYc2K5v+/EmThMMheKus9eP7Aj5Ps84jEEkg16ZDoTVAptaDx6cyCBJdp/QMvHTX/bj14oX4aNl3+OynZahyORO6qOqf2SYMHY5LZszBGcNGgs+nwtW2RD9FSLum0BqQ1WskSgs3IBxq2I4vFPCheNdaZPUaDqlKy1FCQgghhBBCmiccCqF036aoT9bKNQakdu3FQSpC/p1QIMANC6/GxNHjcO/jD+HA4UNcR4oroVCERdfcgIvPm08XtAghhJAkJhBJoMnoBk1GNwQDvvqOVR6HBbHcpgsF/KgqP46q8uPgCYRQ6jKg0BkhT0mlwipC6vD4AjA8foOHj1g2jFDQD4GQxsu1JpZlYT2xH9big1HXGR4fGTkDodQb45yMtFdBf83f4/scFWCb+TCWRKmBQlM7vk8sV1EhH2mSrplZuP/am3DHwquw7M/f8cHSb7FjfyGAv0foJQqVQokLzp6Oi6fPQrfMTlzHSRpUTEXaPZlah059RqFk73qEAv4Ga+FQAMV71iEzfyjkmjSOErZctduNMqsFZTYrym1WlFktMNts8PpqEAyFEAqHwefxIODzIRGLYdBokaHTI12rQ4ZOhwydHmo5jTwkhBBCCGkvWJZFedF21DjtEWsimRLG3EF0gYgktPzsXHzx1od486N38caH73boLlUnL7BRNypCCCGERCMQipGS3hUp6V0RCvjhspXBaSmD21EBxHCTLhwMoMp8AlXmE+DxhVDo0qHUGyFLSaUxWiSpMQwDoVgKv9fVYHvQ56ViqlYUDgVRfmg7nBZT1HWBSILMgmGQKFLiG4y0KyzLwueuhttWDpetHDUuR7POw/D5kKekQaFNh1yTBoFI0rpBSVKSiiWYO2Ua5k6Zhv1HD+OXdavxy7o12L5vb9yz/LOIS5+iwZkjx2DyyNEYM2gIpGL69x5vVExFOgSJIgWd+4xG8d71EU/us+EQSgs3IiN3ULuoiq9w2LH90AHsOHQQ2w8dwNYD+2GyxtYK+t+ka3UYlJOHAdk5GJCdi/7ZOUjX6lohMSGEEEIIaW224oNwVpZGbOcLRcgqGA6eQMhBKkKaRiQU4sbLr8HUCZPx8luv4ffVf3IdqVWdvMBlSE3DTVdcixlTzqZuVIQQQgj5V3yhCGpDF6gNXRAKBmo7VlnL4LFXNDo265/CoQCqK4pRXVEMHl8Auba2sEqekgYevQ8hSUjQSDEVqLCnVQR9XpTu29Ro4YtEkYLM/KFRRy4SEg6F4KmqrO0+ZStH0F/TrPMIxbL68X1StY4KiUmbyuvWA3ndeuDmiy6D2WrB7xvW4fcNa7F1315U2qyt+lqndr8SCUXo1TMbYwYOweSRo9E/Nx886kjKKSqmIh2GSKasK6hah4DX3WCNZcMw7d+M9Oz+UBsS6ynhYCiIDYV78eP6tfhpw1oUlZa0yeuU26z4ccNa/Lhhbf22bhlGnD18FKYNH4mRvftCKKAfCYQQQgghXHNaSmE5sT9iO8PwYMwfCqFExkEqQpqvZ7fu+O8Tz2Hn3t144fX/YvOObWDAgI1hxE0iUymUuO6yKzFv5rkQi+nJd0IIIYQ0DV8ghNrQGWpDZ4SCAbhtZjitJrjtZrDhWAqrgnBWlsBZWQKGx4fiZGGVJg08Pl3nJclBIIos4gk0s2CDNFTjcqC0cGOjBTBKvRHp2QPo5w1pIODzwm0zw2Urh6fK0mAMZ1NIVTrItQYotOkQSRXUnZ1wwqDT48JpM3DhtBkAALPVgl0H92P3wQPYeWAfjplKUW6phMvjPs2ZGhLw+UjT6mBMM6BXz2z0zclDn5w85HTpRvfqEwz9bZAORSiRoXOfMSjZux4+d1XEevmhHQgFg9Bm9uAg3d+CoSCWb1yPpWtWYfnG9XC4nACAeL8VOFZWhsXffYXF330FlVyOqUNHYOaosTh7+EiIhNTtgBBCCCEk3mqcdpQd3B51zZDdHzIVdRYl7Ve/Xn3w/itvYM2m9Vj87pvYVbiH60hNcvKJQZVSiYvmzMPCCy6GgsapE0IIIaQV8AVCqNKyoErLQjgUhMtmhstqgstmjulGNBsOwWkphdNSCobHh1xjgFJvhEJroEIH0qEJo4w8OnV6CWk6p8WEsoPbGv35o+uUC13nXCpwIWBZFjUuR934PnPUe7Ox4PGFkGvToNDUju/jC0WtnJSQljPo9Jg8YjQmjxjdYLu3pgZmqwUVNisq7TYEg0EEgkGE2TCEAgH4fD6UMjkMulSk6/VIUaqo41Q7Qe+iSYcjEInRqc8olBZugLfaFrFeeXQPwkE/dJ3z4v5Gr8xqxfvLl+Gdn75HmTWyFWC8n8v+55Pg1W43vlz5G75c+RvSUjS4/OzpuPzs6chMTYtzKkIIIYSQ5BSoa58f7WKlNisb6rROHKQipHUxDIMxw0ZizLCR2LO/EJ8v+Ro//LIC/oA/or15oumVm48L58zF1ImTIIly04YQQgghpDXw+AKoUjOhSs1EOBSE214Bp8UEl70cbCi2wiqX1QSX1QSGx4M8Ja22Y5U2HXwaF046mGjj5aiYqvlYloWt5CAsxyO7ZQO1HbPTcwZAlZoV52QkkYSDAbgddeP77GaEAr5mnUckVfw9vk+pBUPFJaSdkkok6JqZha6Z9LOxo6FiKtIh8QVCZPUaAdP+zXDbKyLWrcUHEQoGkNa9T1wKqtbt2YX/LfkGS9euRigcSvhq/UqHA099+iGe/fxjTBsxCtfNPBdj+w3gOhYhhBBCSIcVDgUbbZ+v0GVA3yWfg1SEtK3eeQV47O4HcMf1t2Dp8h/w1bIlOHL8KNexwODvB13kMhkmjzsDF8w+D33ye3EZixBCCCFJiMcXQKk3Qqk3IhwKwe2ogMtigstWjnAoeNrj2XAYLls5XLZyMAwPspTU2o5VunTwBdT1g7R/Ucf8UTFVs4TDIZgP7UB1ZUnUdb5QjMz8oZCqtHFORhKBv8ZdP77PW2UFy55+HG0EhoFMpasvoBJJqdMzISSxUTEV6bB4fAEy84eh7OBWOC2miHVH2VGEgwGk5wwAw7RNtfPOw4fw4Ltv4tctmxpsT+SnrYG/O1aFwmF8v3Y1vl+7GhMGDMIjl1+NgTl5HKcjhBBCCOlYWJZF2cHtUVuhi+VqZOQMTPhifEJaIkWlxqXzLsKl8y7C8ZJi/Ll2FVauXYUtO7cjHK69QBvPrlXphnRMHD0OE0aPxeB+A2kEOiGEEEISAo/Ph1KXAaUuA+FwCB5HZW3HKms5wqHAaY9n2TDc9touIihiIE9JhVJnhEKXQeOUSLsljNaZKspDSuTfBf0+lO7bhBpn5LQXABDLVcjMHwahRBbnZIQrLBuGt9peO77Pbobf42zWefgCEeRaAxTadMhSUqlDIiGkXaFiKtKhMTweMnIHg8ffiSrz8Yj16soShENBZOQNBo/Hb7XXPVpmwiMfvIMvV/7Waufk2srtWzHmpmswZ8x4PHDZlcjOojEzhBBCCCGtwXpiP1zWyOJ/vlCMzIJh4PHpYxtJHl2yOtUXVjmqq7Bu0wbsKtyDvQf3o/DAfnhrIp8yj7XQKtp+DMOgS1Zn9M4rQK/cPIwYPAzZ3XtQASMhhBBCEhqPx4dCmw6FNh1sOAxPlaWusKoMoaD/9CdgWbjtFbVTHYp2Qpair+1Ypc2AQCRu+y+AkFbS2Jg/lmXpPX2MfO5qlBRuaHQ8okKbjozcQXRtIgmEgn647RX14/vCwdMX6kYjlqnqC6gkSg19LxJC2i36zUc6PIZhYOjZD3yBELbSooh1l60cpXs3IDN/KHgtrIj2+nx49MN38eq3XyEUPv38+vbo29V/YunaVbh6+iw8tPAqKKT0JAIhhBBCSHNVV5TAWnwwYjvD4yGzYFjUp2wJSRYpKjXOnjQFZ0+aAgAIhUI4XlKMPfsLUWwqQYWlEharBZVWK8yVFbA57AiFIj+HKWRypKWmIVWnR5pej1SdHoY0A/J75iA/JxdymTzeXxohhBBCSKtheDzINWmQa9LA9uxbV1hVBpfVhFAghsIqsPA4KuFxVMKMnZCp9VDojVDqMiAQSdo8PyEtweMLwPD5YP/xOYBlwwgF/RAIqTDwdFy2cpgObGnw5/dPmsyeSO1aQMUwHRTLsgh4XXDZzHDZzfBWWfH30PvYnRwjK9caoNAYqIMZIaTDoGIqkhQYhkFqt17gCYSwHN8Xse6psqB4zzpk9RrR7JbGG/buwdXPP4nDpdHnSXckoXAY/1v6LX7asA6v3343xvYbwHUkQgghhJB2x1ttQ/mh7VHX0rMHQqrUxDkRIYmNz+eje5eu6N6la6P7sCyLYCgENhyGQCAAj9c2I90JIYQQQhIRw/AgT0mDPCUNbI++8FZZ4bSa4LSYEAr4YjqHp8oCT5UFFYd3QarSQanPgEJnpAc9SEJiGAZCkRR+r6vB9qDPS8VU/4JlWdhNh1F5dG/0HRgG6T37QW3oEt9gpM2x4TA81dba8X02MwI17madhy8SQ6FJh0JrgCwllTqXEUI6JPrJRpKKrlMOeAIhKg7vilircTlwYvcaZPUa0aQPhl6fDw+//zZe/e4rIIbREh3JCbMZZ915K66dMRsPX341dakihBBCCIlRoMaD0n2bwLLhiDVdp1yoUjM5SEVI+8cwDIQCutRBCCGEEMIwDGQpeshS9Ejr3gfeahtcdYVVQX9NTOfwVlvhrbai4sgeSJRaKOs6VlHXEZJIBOLoxVRQpHATKMGx4TDMh3ehynw86jpfIIIxfwhkan2ck5G2Egz44K4b3ee2VyAcCjbrPBJFSv34PrFcTR3LCCEdHl1hJElHk9ENfIEQZQe3RRQ/+T1OFO9ag6zeIyGSnn7Uw95jR3DBI/cnRTeqaNi6dp+vf/8dVmzagE/ufwT9e+ZwnIoQQgghJLGFQ0GUFm6M+mS4Up8JXedcDlIRQgghhBBCOiqGYSBT6yBT65DarTdqnHY4LSY4rabaopMY1DhtqHHaUHl0DySKFCj1Rij0RogkNDKZcCvaw/GBGP9dJ5tQwI/SfZvgrbZGXRdJFcjsNZy+r9s5lmXh9zjhspXDZStHjdPerPMwPD7kKamQa2s7UNHoV0JIsqFiKpKUVKlZ4PEFMO3fDDbcsBtAwOfBiV2r0an3SIjlqkbP8cO6NVj49KPw1MT2FE9Hd7y8DGcsugFv/d+9mDN2AtdxCCGEEEISEsuyKDuwFT5PdcSaRJGC9OwB9GQfIYQQQgghpM0wDAOpSgupSovUbr1Q43LAVVdYFajxxHSOGpcDNS4HKo8VQixX13as0hshkiraOD0hkQSiyGKqoJ+KqU7l8zhRWrix0bFuspQ0GPMGgy8QxjkZaQ3hcAgehwVue+34vlgLZU8lEEuhqCuekqr14PH4rZyUEELaDyqmIklLoU1HVq8RKC3cGNHSMhTw1Y38Gw6pUttgjWVZPPvZx3j4g7fpRtc/sAB8gQAWPP4Q9hw9gvsWLASPx+M6FiGEEEJIQrEcK4TLVh6xXSCSILNgGHh8ukhFCCGEEEIIiQ+GYSBVaiBVaqDvWgCfu6q2Y5XF1GjBxal87ir43FWwHN8HsUxV37FKLFO2cXpCagmidqaih+D/yW2vgGn/5kbHu6VkdEda915gGLqn054EfV647BVw28rhdlSCDYeadR6JUgtF3fg+kUxJ9z4JIaQOFVORpCZT69GpzyiU7FmPUNDfYC0cDKB49zpkFgyFPCUNAOCpqcG1zz+Fb1atBFBbWEX+dvLP4+lPP8Teo0fw9p3/gVIm4zgVIYQQQkhiqDKfgK20KGI7w+Mjs2AYtUsnhBBCCCGEcIZhGEgUKZAoUqDvkg+fp7q2Y5XFBL/XFdM5fJ5q+E5Uw3JiP0QyJZS6uo5VdHOetCGhuPazNMuyqPF44KqqRunxMhw5cBx+Xw3CoRDCoRB4fD54fD5EYglSUtPq/ydXqTv0v0+76QgqjuxB7SPxp2Jg6NEHKRnd4h2LNAPLsvC5HHDZzHDZy+FzVTXrPDy+AHJNGuTadMg1aRAIxa2clBBCOgYqpiJJT6JIQae+o1GyZx2C/oZPK7DhEEr3bkRG7iBAloJzH7gba3fv5Chp+/LD+jWYfs/tWPL4M0hR0FNIhBBCCElunioryot2RF3LyBkIiSIlrnkIIYQQQgghpDEMw0AiV0MiV9cXVjktZbWFVVFGlkfj9zhh9RyAtfgARFIFFHojlDojxHJVhy5cIfFhrzDjaOFuHNu7B4d3b8fxfXvgqqpCKNj0zjwCoQgpaWnI6pmDbgV90LVXb3Qr6ANNmqENkscPy4ZRcWQPHGVHo67z+EIY8wfXNxMgiSkcCsLtqIS7roAq5Pc16zxCiRwKbTrkWgNkKh0YmixDCCGnRcVUhAAQy5To3HcMivesi2hfzLJhHNixBou+XYFthw9zlLB92ry/EGfftQjLnnweOpWa6ziEEEIIIZzw17hh2rcJiNLVVN8lH0q9kYNUhBBCCCGEEBIbsUwFcWcV9J1z4fc44bTWFlb53LF1RfF7XbAVH4St+CCEEjmU+ozawipFChVWkZg4HXbsWv0ntv35G/Zv2YRqq6XVzh0M+GEpLYGltAQ7/vqjfrtKp0fe4KEYOH4S+o2dAIU6pdVes62FggGY9m+Gx1EZdV0okSOrYBhENI4zIQVqPHDZzXDbyuFxWMCy4WachYFMrYP85Pg+qaLVcxJCSEdHxVSE1BFKZOjcdzRK9q6Hz/330zVunx83fvotdpeWcZiu/dpZdAjT77kdPz39InWoIoQQQkjSCQUDKC3cGDFSGgBUqVnQZmVzkIoQQgghhBBCmkckU0InU0LXKQf/z95dh8lVnm8cv8/Ius66ZONuJECUAMVJkFCsxaVAKfSHU1wKpVCklFIoGtw1ECA4xAOECHFP1mXWfWbO749IWWZCNitzdne+n+vqRfO+57znnp1kd2fmOc/bVF+r6rJ81ZTmq6GmolXnNzfUyp27Qe7cDXKGR+3oWJWcoYiYRAqr0ELx9m36/ovZWvL151q35HuZvrYUlLRdVVmpFs/+SItnfySbzaZBYw/UmEMP1wGHH63UXjlBzbIvmuprlLdq0R6354yKT1bmkANld4YFORn2xDRNNVSXq8ZdqBp3Uas7AP6SzeFUTGLa7u377A5nBycFgNBCMRXwM46wCPUaeZByVy5UQ7Vb9c3NuuK1dymkaqdlG9Zr+s3X64O/P6jYqCir4wAAAASFafpUsPZ7NdVV+81FxLqUNnA/PiwAAAAA0G2FRUYrKXugkrIHqrmhTtWl+aouy1dDdXmrzm9urFN53gaV522QIzxSsUkZiknOVGSsi9dKIcrr8Wjpt1/qi9de0or5c3YMGkbATs/B5PP5tOaHxVrz/SK9+sA9Gjn5YB3xu7O038GHyWa3W5rt5+oqS5W3erF8nuaA8/FpvZXWfxRbvHUBXk+z6iqKVeMuUq27KOBNeK0RFhWrGNeOAiq+dwJAx6KYCvgFu8OpXiMmKnfVYt3w7HNasi3P6kg9wndrVukP//ibXr3tLtn4RR0AAISAks0rVVte7DfuCI9U1tBxstm6zhuuAAAAANAezogoubIHyJU9QM2N9arZWVhVX+Vu1fmexnqV529Sef4mOcIiFJOUodjkTEXGJVEcEAIqS0v09duv68s3Xpa7qLDlpMWFVLv9LMeKed9qxbxv5UrP0GGnnqFDTz5d8ckpFoaTKgu3qnDjsj1+vVL6jlBiZj/+PVmoqb5mZ/FUoeqqytr0d9swbIqMT95ZQJWmsIjoTkgKAJAopgICstkdem3FBn26aq3VUXqUDxfM1d0vztBt515odRQAAIBOVVG4ReX5m/zGDbtdWcPGyxEWbkEqAAAAAOh8zvBIJWb1V2JWf3ka61VdVqDqsgLVV5a26nxPU4MqCjaromCz7M7w3R2rouKTZBjcqNuT1FZW6oNnHtfsl2bI09S0owtVN+IuKtRb/35Q7z/5qI4+63wdd8EfFR0fH9QMpmmqZMsqledtCDhvszuUMXh/xbjSg5oLkunzqb7KrZryQtW6i/a49eLe2J3hO4qnEtMUnZAiG9v3AUBQUEwFBPDh/Lm68/lnrI7RI933ygsa1ruvTjn0MKujAAAAdIq6ihIVbVwecC5z0AGKiA7uG6sAAAAAYBVHeKQSM/spMbOfPE0NqikrUHVpvupaWVjlbW5UReEWVRRukd0RtrtjVVR8MluVdWON9fX67JXnNfOpx1RfU/2/ia7Shaq1duZtbmzUh8/8V1++8YqOv+hSHXXGeQqLiOj0y/s8zcpf+4Nqy4sCzjvDo5Q1bLzCo+M6PQt28DY3qba8aEcHqvJi+byBt1zcm/DoeMW40hXtSlNETAIdxQDAAhRTAb+wcssmnX/fXTIMQ2Z3+8W9GzAMQ5c8+Hf1z8rWmIGDrI4DAADQoZrqa5S35ruAbwCn9BmumCTuBAUAAAAQmhxhEUrI6KuEjL7yNDeqpqxwZ2FVSauKaLyeJlUWbVVl0VbZHE7FuHYUVkUnpFBY1U2Ypql5M9/R6/+8TxWlJd2uE9Xe1NVU6/WH7tPsF2fo9Kv+osnHn9RpRTDNDXXKXbVITXVVAecj41zKHDKOztidzDRNNdVX796+r7Vbm/6SYbMrKiFldwcqZ3hkBycFAOwriqmAn2loatSZd92muoYGq6P0WKZpqrGpSWfefZu+e2KGoiP4hRAAAPQMXk+TclctlM/jf9dhfFqOErP6W5AKAAAAALoehzNcCem9lZDeW97mJtW4dxRW1VYUt6qwyudpVlXxNlUVb5PN7tjRsSopU1GJKbLZ7EF4BNhX7qJCPXvHTVo256v/FRj1tBvadz6eytISPXHTNVr0ySxdcMc9SkxN69DL1Fe5lbd6sbzNjQHn41J7KW3AaP4tdBKfz6v6yjLVuHds39fcWNemdRxhEYp2pSvGlaao+BTZ7DxfANCVUEwF/MxdLzyr9bnbrY7R45mSthYW6LZnntCDl11pdRwAAIB2M30+5a/5Xs31tX5zkXFJSus/mpbsAAAAABCA3Rmm+LQcxaflyOtpVo27UDWl+aotL5Zp+vZ6vs/rUVXxdlUVb5fN7lC0K12xSRmKTkyjOKELME1Tc95/Wy/9/U7V19bsHuvJdj2+pd9+qb+ccKTOvvF2HXTCbzvkfYGq4u0qXL90j/82knsPlSt7IO9BdDBPU0OL7ftMn7dN60TEJu7sPpWu8Og4nicA6MIopgJ2Wrx6pR5563WrY4SU/858VycedIgOHj3G6igAAADtUrx5heoqSvzGnRFRyhx6IFtOAAAAAEAr2B1Oxaf2UnxqL3k9zaotL9rRsaq8SKavdYVV1SW5qi7JlWGzK8aVtmMrwMQ02ex8JBZsVe4yPXXL9Vr67ZchWzTSUFujJ2++Vos//UgX332/YhNdbVrHNE2Vblsj9/Z1AecNm10Zg8YqNjmzPXGxk2maaqyt3L19X0NNRZvWMex2RSekKsaVrujEVDnCIjo2KACg0/CbIyCpvrFRF91/T4+/G6KrMWTojw/eq8VPzFBMZJTVcQAAANqkPH+TKgq2+I3b7A5lDRsvhzM8+KEAAAAAoJuzO5yKS8lWXEq2fF7P7sKqGndRq7rCmD6vqkvzVV2aL8NmV3RiqmKTMxWTmCabwxmERxDatq1drYcuv0hlBXmSen43qj3Z3aXqmy9162kn6Jr/PK1eg4bs0xo+r0cF635UTVl+wHlHWISyho1XRExCe+OGNJ/Xo7rK0t0FVJ6mhjat4wyP2rF9X1KaIuOS2G4RALopiqkASfe89Jw25OVaHSPkmDK1tahQd8x4Sg/86Qqr4wAAAOyz2vJiFW9aEXAuc8iBCo+KC3IiAAAAAOh5bHaHYpOzFJuctbOwqljVZfmqcRfK9LausKqmrEA1ZQUyDJuiE1MVk5ypGFe67BRWdbjvPvtE/73xajU11FsdpUspK8jTHWf8Vpfe97AOOPyoVp3T3FivvNWL1FhTGXA+IiZhx41cdDxqk+bGetW6i1TjLlRdZUmrOuAFEhmXtGP7Ple6wiJjQrYTGwD0JBRTIeRtLSzQv995w+oYIe3JD97TxcefpEG9cqyOAgAA0GqNddXKX/NdwLnUfiMVnZga5EQAAAAA0PPtKKzKVGxypnw+r+rKi3d2rCqUz+vZ6/mm6VONu1A17kLJMBSdsLNjlStddmdYEB5Bz+Xz+fT+E4/qnf/8k2KSPWhubNC/rrhEJ//5ap148eW/+nVqqKlQ3qpFe+yQFJucqfSBY2Wz0/motUzTVENN+c4CqiI11gYuUtsbm92paFeqYhJ3bN/H9w4A6HkopkLIu/vFGWr27P0FFjqP1+fTX59/Wi/d8lerowAAALSKt7lJeasWBXyjPj69jxIy+lqQCgAAAABCi81mV0xShmKSMnYUVlWU7iysKpDP07z3BUxTteVFqi0vkgxDUfEpOwqrktLZsn0f+bxePXP7jfr2vTclhe62fnuz6+vy9r8fUkluri68456AxVDVpfkqWLdkj1taJvUarKScwRSttYLP06zaipId2/eVF8nb3NimdcIiY3Zs3+dKU2ScS4Zh6+CkAICuhGIqhLSfNm/Uq198anUMSHp3zjf6Ye1q7T94qNVRAAAAfpXp8ylv9WI1N9T6zUXFJyut30jezAQAAACAILPZ7IpxpSnGlSbTN1p1lTsLq8oK5PU07X0B01RdRbHqKopVtMFQVEKyYpMyFZOUIUcYhVW/xuvx6Imbr9WCWe9bHaVb+fbdN+RpatTFf3tAdseOj2xN05R7+zqVblsT8BzDsCl90BjFpWQHM2q309RQq1p3oWrcRaqrLJXaUtxnGIqKT1ZMYpqiXWkKi4zp+KAAgC6LYiqEtDufe5q7I7qQ2559SrPue8jqGAAAAHtkmqaKNi5TfVWZ35wzMlqZQw+UYePORAAAAACwkmGzKToxVdGJqTIHjFJdZdn/Cqta1ZXGVF1FieoqSlS0cZki45MVm5Sh2ORMOcIiOj1/d+LzevXfG6/Wwo8/sDpKtzR/1vsyTVN//PtDkiEVrl+q6pLcgMfaneHKGjZOkbGuIKfs+kzTp/qq8h0FVOVFaqqrbtM6dkeYol1pinGlKyohRXaHs4OTAgC6C4qpELIWr16pjxbOtzoGfubrpT/om6VLdMh+Y62OAgAAEFB5/kZVFm3zG7c5nMoeNkF2R5gFqQAAAAAAe2IYNkUnpCg6IUVm/1Gqr9pRWFVdli9vU+u2+6qvLFV9ZamKN61QZJxrR8eq5Ew5wyM7OX3X5vP59NRtf6GQqp0WfDRTdodDR516vJpqKwMeEx4dp6xhE0L+79zPeT1Nqi0v3r19X6u29gwgPCpO0UnpiklMU0RsIt3GAQCSKKZCCHv8/XesjoAA/jvzHYqpAABAl1TjLlTJ5pX+E4ahzCEH0u4dAAAAALo4Y+e2XVHxyUrtN1L11W7VlOarujRfnqaGVq1RX+VWfZVbxZt/UkRsomKTMxWblClnRFQnp+963nrkQc19/22rY/QIc2e+I7OpWr+ZPs1vLsaVrozB+8tmD+2PdU3TVFN9jWrdRapxF6q+yi1p33efMQybohJSdnSgSkwLyX+7AIC9C+2fughZxRXleufbr6yOgQA+nD9XeSXFykpJtToKAADAbo21Vcpf+33AubR+oxSdkBLkRAAAAACA9jAMQ1FxSYqKS1JK3xFqqCnf0bGqNF+exvpWrdFQXa6G6nKVbF6piJgExSRnKjY5U2ER0Z2c3noLPpqpD55+zOoYPcq8Tz5TanaGhh/wvxvOXdkDlNx7WMh2SzJ9PtVVle3Yvs9dpOaG2jatYw8LV0xi+s7t+5JDvjANALB3/KRASHr+k1nyeL1Wx0AAPtPUsx99oFvPvdDqKAAAAJIkT1OjclctlBng98fEzH5KyOgT/FAAAAAAgA5jGIYiY12KjHUppc9wNdZUqLpsR2FVc0Ndq9ZoqKlQQ02FSresUnh0/I6OVcmZPbKL8eaVK/TkLdfJMAyZ5r53BsIeGIY+eP4VuVJTlNE7R+kD9lN8Wo7VqYLO09y4s/tUkeoqiuXzetq0TkRMgqJd6YpxpSk8Oj5kC9IAAG1DMRVCjtfr1dMfvs8v+V2UIUPPfDRTfznjHIU5nVbHAQAAIc7n8ypv9eKAdyVHJ6Yqpe9wC1IBAAAAADqLYRiKiE1URGyiknsPU2Nt1c7Cqjw117euK05jbaUaaytVunW1wqLidhdWhUfFdnL6zldRWqKHLv+DPM3NEp+xdCzTlKfZozcee1q3vfhGyBRSmaapxrqq3dv3NVSXt2kdw2ZXdELK7gIqR1hEBycFAIQSiqkQcj77frFyS4qtjoE9MGWqpKJCHy6Yq98e/Bur4wAAgBBmmqaK1i9VQ7Xbby4sKlYZgw+QYdgsSAYAAAAACAbDMBQRE6+ImHgl5wxRU131jq0Ay/LVVFfdqjWa6qpUtq1KZdvWKCwqVrFJOztWRcV2u045Pp9Pj15zuSr4jKVTVVdU6pk7b9ONz74im61nvu/g83lVV1Gq2vId2/e1dmvNX3KERyrGtWP7vsj4JNls9g5OCgAIVRRTIeS8P+9bqyOgFWbOm0MxFQAAsJQ7d72qSnL9xu2OMGUNGy+7gy6aAAAAABAqDMNQeHScwqPjlNx7iBrrqlRdWqCa0nw11lW1ao2mumqV1a1V2fa1ckZG7y6s6i5bkH328vNa+8Niq2OEhDXfL9Lnr76go848z+ooHcbTWK+a8iLVuotUW1Ei0+dt0zqRcS5FJ6YpxpXeLYsSAQDdA8VUCCler1ezFsyzOgZa4ZPFC9Ts8cjp4NsUAAAIvurSfJVuXe0/YRjKHHqgwiKigx8KAAAAANBlhEfFKTwnTsk5g9VUX7OjY1VpvhprK1t1fnN9rdy56+XOXS9nRNT/CqtiErpkcUjh1s16/eH7JMNge79gMAy9/tB9Gj3lN0rL6W11mjYxTVONNRWqcRepprxQjTWt+7fxSza7Q9GJqYp2pSs6MVUOZ3gHJwUAwB9VCggp369drbKqtv2yhuCqrqvTvJ+W69D9xlodBQAAhJiGmgoVrFsScC59wGhFxScHOREAAAAAoCsLi4xRUq9BSuo1SE0NtaouzVdNab4aaipadX5zQ53ceRvkztsgR3ikYpMzFZuUqYjYxC5RWOXz+fTUrderubHR6iihwzTV1Nigp269XjfNeLXbbPfn83pUW1Gi2p0FVN6mtv2dcUZE79y+L02RcUkyusnjBwD0HBRTIaTMWjjf6gjYB7MWzKOYCgAABJWnqUF5qxYFbDWfmDVA8Wnd825QAAAAAEBwhEVEKyl7oJKyB6q5oU7VZTs6VjVUl7fqfE9jvcrzNqo8b6McYRGKTc5UTFKmIuNclhVWffbK81q35HtLrh3q1v6wuMtv99fcUKcad6Fqy4tUV1Eq0/Tt+yKGoai4JEW7dm7fFxnT8UEBANgHFFMhpHy0cJ4Mw5BJC9ouz5A0a8Fc3X/pn62OAgAAQoTP61XeqkXyNDX4zcW40pXSZ5gFqQAAAAAA3ZUzIkqurAFyZQ1Qc2O9asryVV1aoPqqslad72lqUHn+JpXnb5I9LHzHVoBJmYqMTwpaYVV1Rbne+veDbO9nFcPQW488qEnHTVdMfILVaSTt2L6vobpcNe5C1biL1FRX1aZ17I6wFtv32R3ODk4KAEDbUUyFkFFeXa3VW7dYHQOtZEraWlSogrJSZSSxlQ4AAOhcpmmqcP2PAbdgCI+KU8agsV1iawUAAAAAQPfkDI9UYmZ/JWb2l6epQdVlBaopzVddZWmrzvc2NaqiYLMqCjbL7gxXTFKGYpMzFRWfJMPovC3QPnjqP2qore209bEXpqn62hp98NRj+v21N1kWw+tpVl1FsWrKClVbXiyvp6lN64RFxSrGla5oV5oiY63rtgYAwN5QTIWQsXTDOqsjoA1+XL+WYioAANDpyravU3Vpnt+43RmurGHjZePuSAAAAABAB3GERSgxo68SM/rK09SgmrJCVZflq66iVDtuNf513uZGVRZuUWXhFtkdYT8rrEqWYeu4wqrSgjx9+vILHbYe2u7Tl5/TUWeep6SMzKBds6m+RjXuItW6C1VXVdamzmSGYVNkfLJidm7f54yI6oSkAAB0PIqpEDKWrFtrdQS0wY/r12nqhMlWxwAAAD1YVUmeyrat8Rs3DJuyho7jjT4AAAAAQKdxhEUoIaOPEjL6yNPcqJqyQtWU5au2oqRVxSteT5Mqi7aqsmirbA6nYlzpOwqrElJks9nble3d//xLXk9zu9ZAx/A0N+vdx/+lP/z1vk67hunzqb7KrZryQtW6i9RUX9OmdezOcMW40nZs35eQIpudj6MBAN0PP70QMpaup5iqO/qR5w0AAHSi+upyFa5fEnAufeB+ioxzBTkRAAAAACBUOZzhSkjvrYT03vJ6mnZ0rCrNV11FiUzTt9fzfZ5mVRVvV1Xxdtnsjv8VViWm7nNhVd7GDZrz/tttfSjoBN+++5amnnexMvv177A1vc1NqikvUq27SLXlRfJ5PW1aJzw6fvf2fRExCWzfBwDo9iimQshY8ouinJy0dK1+4XW99OnHuuTBeyVJT1xzg8466lgNPed0bSsqtCLmXq16/jVJ0rBzf2dxkuCgoxgAAOgszY31ylu9SKbP/w1pV69BikvtZUEqAAAAAAAkuyNM8Wk5ik/LkdfTrBp3oWpK81VbXty6wiqvR1UluaoqyZVht+8orErKVHRiaqs6BX368nOtug6CxzR9+vSV53TeLXe1Yw1TTXXVOwuoClVf5W7TOobNrqiElB0dqBLT5AyPbHMmAAC6IoqpEBLqGxu1pbDA6hg9XpjTqXmPPqlhffopr6RYg846tcW8w27XseMn6djxE3XgkKHKTkmTw27X5oJ8zZw/Rw+/+apq6utbnFNU7lZ5dbUSY2OD+VAAAEAP5/N6lLdqkbxNjX5zMUkZSs4ZYkEqAAAAAAD82R1Oxaf2UnxqL/k8zaopL1L1rsIqn3ev55ter6pL8lRdkifDZleMK00xSZmKcaUFLKyqr6nW3JnvdMZDQTvNff8dnX7VXxQZHdPqc3w+r+ory1Tj3rF9X3NjXZuu7QiPVEziju37ouKTZbO3bxtJAAC6MoqpEBIK3WWtOu72GU/qwTdeUX5pSScnartpN1xtdYQ9uvP8i9QrNX2P8/0ys/Ta7Xerpr5O3y5bqk8WL1R0RKSOOOBA3XjmuTr54N/oiKsvV1lVZYvzCspKKaYCAAAdxjRNFaxbosbaSr+58Oh4ZQwaSzt6AAAAAECXZHM4FZeSrbiUbPm8HtWWF6u6NF817sLWFVb5vKouzVd1ab4Mm13RiamKTc5UdGKa7A6nJGnuB++qqaF+LyvBCo31dZr3wXs64ndn/epxnqYG1bqLdnSgamXRXSARsYk7u0+lKzw6jvdLAAAhg2IqhITWFlMVut0qdLetpWmwbC7ItzpCQFNG7afLTzpVVz76Tz3yf9cEPKa6rk5X/vufevmzT1TX2LB73Olw6NXb7tKx4yfpxrPO07WP/avFeYXuMg3r07dT8wMAgNBRum2Nasr8u5baw8KVNWx8q7Y7AAAAAADAaja7Q7HJmYpNzpTP61VtxY7Cqlp3oXxez17PN31e1ZQVqKasQIZhU3RiqqKTMvT5Ky9IhiGZZhAeBfaJYejz117U4aef2aKwyTRNNdZWqsa9Y/u+hpqKti1vtys6IVUxrnRFJ6bJERbeQcEBAOhe+JQAIaG1xVRPXHODzjrqWA0953RtKypsMfen6SfrgqknqG9GhtxVVZo5f47unPG0Fj7+jCRp2Lm/a3O+I/Y/UH+afor2HzxEsZFRyist0cx53+ofr76kytqaFseuev41v+uddeQxeuLaG3XJA39XflmpbjjzXI3uP0D1jU36ZPEC/eW/j6qytkaj+w/UredeoAnDRsrpsOubpT/q2scf8Xus+yo2KkpPXHODvl66RM/MmrnHYqqCslI99eF7fuPNHo/uf+0lHTt+kg4etV/A8wAAADpCZfF2ubev8xs3bDZlDR0vZ3ikBakAAAAAAGgfm92u2KQMxSZlyOfzqq68RNVl+aopK2hdYZXpU427UCsXzVP+5o1BSIw2MU3lbVindUu+08D9xqquolQ15Tu27/M0Nez9/ACcEVE7iqdcaYqKS5Zhs3VwaAAAuh+KqRAS2luM88/Lr9LFx09XfmmJnv3oQzV7mjV1wmQdMHionA6Hmj17fyGyJzecea5uPecClVVV6pNFC1RSUa4RffvrylN/r6PGTdBhV/5J1XWt27966oTJOnb8RH28aIGemTVT44eN0NlHHaveaem67dknNeu+hzT/p+V6YfYsDe/TT9MmTlbfzEyNu+R8me24w+SBS/9PCbGxuvSh+9q8RrNnR4tZj9e/1WxX7xYGAAC6h/oqt4rWLw04lz5wrCJjE4MbCAAAAACATmCz2RWTlK6YpHSZPp9qK0pUU5av6rIC+TzNv3ru6u9/DFJKtMcXrz4ro7FIps/XhrMNRca5dmzf50pXWGQM2/cBAPALFFMhJBS1oxhn0ohRuvj46Vq3fZsOveLS3Z2ibp/xlD689yFlJqdoa6H/NjGtcfDoMbr1nAu0cNVP+u0tf2nRhWpXt6lbzj5ff3niP61ab9rESZr2l6s1d8UySZJhGJp5zwM6bOwBeufu+/Tnhx/Q6199vvv4x666XuceM01TJ0zSrAXz2vQYjp80RWcddawufeg+5ZYUt2kNSTrn6KmSpM++X+Q319rOYgAAAHvS3FCnvNWLZZr+bzIm5QxRXEqWBakAAAAAAOhchs2mGFeaYlxpSus/WnWVpTs6VpUWyOtpanGsaZpat/wni5JiX6xavFiHnXhMq4ugbA6nohN3/D2ITkiV3RnWyQkBAOje6NOIkFDf1LT3g/bgzCOOliTd/1rLLfeaPR7d/uyT7cp16YknS5Iuf/h+v+38XvrsEy3bsF6nH3Zkq9d786svdxdSSTte+Lz6xaeSpFVbNrcopJKkVz6fLUka1W9Am/KnJiTq31dco9mLF+qF2R+1aQ1Jmjphki6cerxyS4r1zzdf9ZtvaGps89oAAAA+T7NyVy2St9n/d4rY5Cwl9RpkQSoAAAAAAILLsNkUnZiq9AH7qf/4o5U9YpIS0vvI7gyXJBXn5auqvMLakGiVSne5SvJ//Ub/sMgYJWYNUK+RkzVg/DHKHLy/4lKyKaQCAKAV6EyFkOBtxX7gezJ6wEBJ0vyflvvNLV6zql1b/I0fOkxNzc06acqhOmmK/7zT6VBKQqJcsXFyV1ftdb0l69f4je3a4nDp+rV+c/k757JSUvcx+Q6PXnmdHHaHLnv4/jadL0njhw3XjBtuVW1Dg86461ZV1NT4HRNo6z8AAIDWME1T+Wt/UFOd/+9SETEJSh84hlb2AAAAAICQYxg2RSekKDohRan9R6m+qkzffftPq2NhH6xb9pNSszL/N2AYiopP3tF9KjFdYZHR1oUDAKCbo5gKIcHbpj2jd4iL3vHLZnF5ud+cz+eTu6qyzWu74uLldDh089nn/+px0ZGRrSqmqqqt9RvbVYhU+StzTru9NXFbOOOIozVt4mRddP89uwu29tW4ocP17t3/kM9n6qRbrtcPa/2LwaT2PX8AACC0lWxZpdryIr9xR1iEsoaNl60NvwcBAAAAANCTGDuLcNYtWyEZhmSaVkdCK6xd9pMOOfG4ndv3pSsqIUV2h9PqWAAA9AgUUyEk2G1t39GyurZOkpSamKgthS1bptpsNrni4pVfWtKmtStra2Sz2dTrlOPbnM8q++3s2PXUdTfpqetu8pvPSklV7exvJEmZv53mt43hpBGj9PZf75XP9OnEm6/Td2tW7fFa7Xn+AABA6Kos2qryvA1+44bNrqxhE+QIi7AgFQAAAAAAXU99TbW2rPqJQqpupGDbdmUOP0hRMbFWRwEAoMehmAohwW5v+1/1ZRvXa7+BgzRpxCi/YqpxQ4bJ6Wj72t+tWaVjx0/S0N59tHrrljavY4VFq1cqOiIy4Nx5xx6n2oZ6vfnVF5KkxuamFvOHjB6jN+68R00ej0686TotWRe4I9UuDjpGAACAfVRXWarCDcsCzmUM3l8RMfFBTgQAAAAAQNe1ZfVKmRRSdS+mqe1rV2vw/uOsTgIAQI9DMRVCQlR4eJvPfeXz2Tr3mGm67ndn6cP5c1VVt2O7PKfDoTvOv6hduR59500dO36SHr3yOp15120qdJf9IneEhvft96tdm6zy9jdf6e1vvgo4d96xx6miulqXPXy/39zhYw/Qa7f/TXWNDTrhxmu1bOP6vV4rIqztzx8AAAg9TfW1yl/9XcC7aZN7D1VsUoYFqQAAAAAA6Lq2rPrJ6ghog82rfqKYCgCATkAxFUJCmsvV5nPnrlimZ2bN1IXTTtD3Tz6n9+d+q2avR8eOn6Squlrll5bI18a7Nb5eukS3PvNf3Xn+xVo+42XNXrxIWwsLFB0ZqZzUNB00arQWrFyh6Tdf3+b8XcnA7F56/Y57FBkertnfLdS0iZM1beJkv+Pueem5Fn9OdyUFKSEAAOjuvJ5m5a1aKK+nyW8uLrWXXNkDLUgFAAAAAEDXtpliqm5py8oVVkcAAKBHopgKIaG9xThX/Pshrdu+TRdMO14XTjtB7uoqzZw3R3fMeErrXn5LpQV5bV77oTde1YKVP+nS6Sdr0vCROm7iZFXW1qqgrEQzPvpQr3/1ebuydyXpriRF7uwSdtKUQ3XSlEMDHvfLYqqMJIqpAADA3pmmT/lrvldTfY3fXGScS2kDRsswDAuSAQAAAADQtW1eudzqCGiDzasopgIAoDNQTIWQkOFK9hvbVlSo6KMPaTF2yYP36pIH7/U71jRNPfrum3r03TdbjPfPzFJsVJTWbtvWrnwLVq7QglbePRARFqbK2toWYy999ole+uyTgMfPWb7U73HuEuhr0BH2tOavZfk1dKYCAACtUbxppeoqiv3GneFRyhw6Tjab3YJUAAAAAAB0bU0NDSrauqXFWHJmlv756VzNee8tPXnLdZKki+++X1Omn6KrjjpIpfltv8m8Mz00e44k6eqjp1icJDgKNm9SU2OjwnbeyA4AADoGxVQICent7GyUluhScUW5zJ9t5xcZHq5//PHPkqSZ8+e0a/3WSoyNVVJ8vFb/4kVNT5eR5F8MBwAA8HMVBZtVUbDJb9yw25U1bLwcTt5UBAAAAAAgkIqS4haff6BjDN5/nA495XfqM2SY4lNSFR4ZpcqSYm1fv1azX5qhVYvm+53Tb8RoHXDEUcoZPEy9hw5XQnKK3IUFuuKISQGvYZqmKktLlJKV3dkPBwCAkEIxFUJCusvVrvMvO+kUnXro4ZqzfKkK3WVKS3Tp0DH7KzslVbMXL9Q7337VQUkDi4uK1hWnnK4jDhgnh92hd+d+06nX62roTAUAAH5NbUWJijYG7vKZOfgAhUfHBTkRAAAAAADdR0WJf5fnQF5/+B/64JnHVV5c1MmJ2u7eP5xpdYTdho2fqGHjJmrjiqVatXiBGuvrlJSeqTG/OUJjf3OE3vvvv/X2ow+1OGfitBN0zNkXyNPcpPxNG5WQnLLX61SUFFNMBQBAB6OYCiEhIixcfTMytbkgv03nf7nke43sN0CHjz1QibGx8vi82pCbq8ffe7vF1n+j+g3QcZMOatWa97z0XKuvnxAbq2t/d6a2FBbqtmee0DOzZu7rQ2iVs448Rjlp6Xs9bvnGDfpwwdxOyfBL6a4kJcbGBuVaAACg+2mqr1H+6u8k+d9Bm9J3hGJce//dBgAAAACAUFZe0rriqMrSElWWlnRymvYp3r7N6gi7ffj043r3sX/5jSempumuNz/UCRf9SZ+/9mKLr+mc997S3PffVu6G9fJ6mvXiT5v3ep2KVj5/AACg9SimQsgYO3Bwm4upvl66RF8vXbLX40b1H6Cbzz6/VWvuSzHVtqJCxU89vNXHt9WZRx6jg0eP2etxL336cdCKqcYOGhyU6wAAgO7H62lS7sqF8nmb/ebi03orMbOfBakAAAAAAOheWtuZ6uK779eU6afoqqMOUml+Xou5o846T4edeoZSsnNUU1GuH774VG8+8oD+9vZHkqSrj57S5nwjJx2so886T/1GjlZEdLTcRYX6/vPZmvnko6qrrm5x7EOz5/hdb8qJJ+vivz2gJ2++VuXFRZr+x/9T76HD1NTQoKXffKmX/3GX6qqr1XvIMJ3856s1aL8DZHc6tGrRAr349zv8HmtrNTc1BRwvLy7S+qU/6IDDj1Zqr5wWxVTb1q7e5+u09vkDAACtRzEVQsZ+Awfp7U7eju+lzz7RS5990qnX6EzHXn+l1RH8jBlIMRUAAPBn+nzKX/2dmhtq/eYi45KU1n+UDMOwIBkAAAAAAN1Le4txzr3lrzrid2fLXVSor996VZ7mZo059Aj1GzladodDXo+nzWtP/+OfdfLlV6u6olxLv/lSVe4y9Ro0RNPOv1ijpxyqO888WQ21Na1aa8xvjtCYQw7Tj998qS/feEUD9xurg086VSnZvfT6P+/TjU+/rLVLvtM3776h7IGDNfY3Ryi1V45uOukYmaZ/R+y2inMlqf/I/dTU2KiCzZvavV55McVUAAB0NIqpEDLGDhpidQS0wZgBg6yOAAAAuhjTNFW0aYXqKkv95pwR0coaOk6GzWZBMgAAAAAAup+GOv8blVpr0NgDdcTvzlbB5k2644zpuztFvfHw/brh6ZfkSktXSV5um9YeeuAEnXz51Vq/9Ac9cOn5LbpQ7eo2dfJlV+rlf9zdqvXGHnqE7v3DWVrz/SJJkmEYuv7JFzRi4kG69vEZevbOmzR/1vu7j//DX+/VIb89XWMOPUJLvvqsTY9BkvoOH6n9DjlMdrtDrrR0jfnNEYqMjtGLf79DNRXlbV53l/Y8fwAAIDA+YUDI2G/AQKsjoA32ozMVAAD4hYqCzaos3OI3brM7lDVsvOzOsOCHAgAAAACgm2pP56gpJ54sSXr/qf+0KHbyepr1xr/+0a5cR511niTpmdtv9NvOb877b2vL6pWaNO3EVq+34OMPdhdSSTtu1pr7wbuSpNz161oUUknS3Jk75noPGdqW+Lv1HT5Sv/3TlTrxkss1ZfopstvteurW6/XF6y+3a91d2vP8AQCAwOhMhZCREBOrYb37avW2LR3ajhWdw5ChPhkZykhKsjoKAADoQmrLi1S8aUWAGUOZQw5UeFRs0DMBAAAAANCdeT3eNp/be8gwSdK6Jd/5zW1Y9qM8zc1tXnvA6LHyNDdp3NFTA847nE7FJSUrJj5BNZUVe11v88rlfmMVxUWSpC2r/N9rcBcVSpIS0zL2IbW/L994RV++8YqcYWFKye6lw047U3/8+0MaOGZ/PffXW9q1tiT5vBRTAQDQ0SimQkiZNnGyVm3dbHUMtIIpU9MmTrY6BgAA6EIa66qUv+b7gHOp/UYoOjE1yIkAAAAAAOj+bPa2b2QTFbvjpqaqslK/OdPna1WR057ExCfI4XTqt3+68lePC4+KbtV16n/R3UqSvDsLkepq/Od2FSk5HB3zcWpzU5PyN23US/f+VY6wMB1+2plauWCevvvs43ata7PZOyQfAAD4H4qpEFKmTpik+197yeoYaKWp4ydZHQEAAHQRnuZG5a1aFPBuy4SMPkrM7GdBKgAAAAAAuj+7ve0fF9bX1EiS4pKSVZK7vcWcYbMpJj5B5Tu7P+372tUybDZdOnlMm/N1VcvnfKPDTztTQw+c0P5iKgfFVAAAdLS2l5oD3dABg4cqOT7B6hhohbjoaE0aMcrqGAAAoAswfT7lr/5OzQ11fnNRCSlK7TfSglQAAAAAAPQMjrCwNp+7dc1KSdKgsQf6zQ0YPUYOp7PNa29Y/qNi4hOU1X9gm9foqhJT0yT9rzNWezjb8fwBAIDAKKZCSLHZbGwd100cM26inB3UOhcAAHRfpmmqcMMy1VeV+c2FRcYoc8gBMgxe1gAAAAAA0FbxScltPnfuzHclSSdedJkiY2J3j9sdTp32f9e1K9cnLzwrSbrwzr8rISXVbz48MlL9R+3Xrmt0piEHjJdhGH7jqb1ydMLFl0mSln37VbuvE9eO5w8AAARGpQJCzokHHaznP5lldQzsxYmTD7Y6AgAAPYbP51OTp1nNHq+8Pq8cdrscdrvCHE7ZbF27EKk8b6Oqirf5jdscTmUNGy+7g7svAQAAAABoj8QAhUqtteb7RfryjVd02Gln6N73Zuu7zz+R1+PRmEMOV11NtdxFhTJ9vjatvWrRfL320L067crr9cCsr7Rsztcqyduu8KgoJWdmacgB47Vuyfe6/4/ntTl/Z7rykSdVV12ljSuWyl1YIJvdrrRevTVy8sFyOJ369OXn9NOCuS3OyejbT8dfeGmLsei4eF189/27//zKA/eopqJ8958TU9I694EAABCCKKZCyDli7IHKSU3T9pJimaZpdRz8giFDqYmJdBADAGAfmKapzQX5WrJurdZs26KCslIVut0qcJeqoLRUpZUV8gX4vcdusyklIVGZyclKdyUp3ZWkzKRkDevTT2MGDlKv1LSAd1AGS01ZoUq2rPSfMAxlDTlQYZExwQ8FAAAAAEAPE9+OYipJeu6uW1SweaN+c+oZOuy0M1RTUaEfvvhUb/zrfv3ri/kq3u5/k1RrzXr2Ca3/8QcddeZ5GjT2AI097AjVVVervLhIX735qhZ8NLNd2TvTO4/9UyMnTdGAUWMUe8jhstltqiwr1ZIvP9PXb7+uFfO/9TsnPjlFU6af0mIsPCqqxdg7jz3copgqUNcuAADQPhRTIeTY7Xb94bjpuu3ZJ6yOggBMmbpw2gls8QcAwK+obajXV0t+0IJVK/Tj+nX6cf1aVdXW+h1nSPq10nGvz6dCd5mK3G6ZAY5MjI3V2EFDNGbAIE0aOUqHjB6jiLDwjnsgv6KhtlL5674POJfWf5SiElKCkgMAAAAAgJ4uMdW/s1Fpfp7OHtG3xdiTt1ynJ2/x37rPNE198uKz+uTFZ1uMp+X0UWR0jPI3bWhXvnU/fq91PwZ+j+CXnOHhqq+ubjE25/23Nef9twMev+a7RX6Pc5dAX4N98elLz+nTl57bp3N+Lc+eJNCZCgCADke1AkLSOUdP1V0vPKNmj8fqKPgFu82m8489zuoYAAB0OQVlpfp40XzNWjBfX/34vRqbmyX9esFUa3twBiqkkqTy6mp9+cN3+uKH76TXX1ZUeLiOPGC8pk6crKMPnKCUhIR9fRit4mlqUN6qRTK9Xr+5xMx+Skjv0ynXBQAAAAAgFLW3s1F8UrKq3GUtdgMJi4jQWTfcKkn6/otP27V+a0XHxSs2IVF5G9YF5XpdBZ2pAADoeBRTISSlJCTo5EN+o9e++MzqKPiF4ydNUWYynSYAAJCk+sZGvf3tV3pm1kwtXh1guzu1vmCqrX6+fl1jo96f963en/etbIahg0btpz9MO0HHT5qiMKezQ67n83mVt3qxPI31fnPRiWlK6TuiQ64DAAAAAAB2iI6LV0xCYout4/bF0WdfoIlTT9Dq7xaqoqRYCckpGjZhkpLSM7Xs26+0ePasDk7cUmRMrKaed5FGTj5YdodD3332caderyuJTXQpKjbW6hgAAPQ4FFMhZP3pxJMppuqCLp1+stURAACw3Ma8XD09a6ZemP2RKmqqZciwOpIfn2lqzrIf9e2yH5WakKgLph6vC6Yer6x23A1pmqaK1i9VQ7X/m7dhUbHKGLy/DKPrfS0AAAAAAOjODMNQ3+EjtWLet206/6cFc5UzeKhGTpqi6Ph4+TxeFWzdrE9ffl6zf7b1X87godr/8KNatea7j/2r1dePjovT8X+4VCV52/X6P+/Tl2+8ss+PoTWmnHiykrOy93rctjWr9MOXwfn8qe+IUbxXAgBAJ6CYCiFr/8FDddzEg/ThgrlWR8FOh+9/oA4aOdrqGAAAWGbphnW66/ln9cniBS3G97QNn9V2pSqpKNe9r7ygf7z6oqYfdIhuOecCDc7pvc/ruXPXq6ok12/c7ghT1rDxsjs6pvsVAAAAAABoqT3FVKsWzdeqRfP3elzvIcP02z9d2ao196WYqjQ/T+ftN7DVx7fVlOmnaOiBE/Z63Jz33gpeMdUwOngDANAZKKZCSLvj/Iv00cJ58pld8wPKUHPn+RdbHQEAAEtszMvVX194Rm99/aXVUdpk129SPtPUO3O+1ntzv9E5R0/VTWed1+pOVdWl+Srdutp/wjCUOXScwiKiOywvAAAAAABoqe+wkZ1+jTnvv60577/d6dfpLPec/3urI/jpO7zznzcAAEKRzeoAgJWG9u6jM488xuoYkHTKIYdpzMBBVscAACCoisrduvLfD2nMH87ptoVUgfhMU899Mksjzz9DNz/9uMqrq3/1+IaaChWsWxJwLn3AfoqKT+qMmAAAAAAAYKc+w+lw1B0FowgOAIBQRDEVQt7NZ5+vMLaMsZTdZtdt515odQwAAILGNE298vls7XfBWXrqw/fl9XmtjtQpGpub9fCbr2nMH87Sh/MDb63saaxX3qpFMgN8DVzZAxSfltPZMQEAAAAACHlJ6ZlKaGV3aXQNCalpSkxLtzoGAAA9EsVUCHm9UtN0xSmnWx0jpP3xxN+qf1a21TEAAAiKgrJSnXr7jbro/ntUXV9ndZygKK2s1Ol33qwL7rtb7qqq3eM+r0d5qxfL09Tgd06MK13JvYcFMyYAAAAAACHLMAyNOfRwq2NgH4w99AgZhmF1DAAAeiSKqQBJN555robk9LY6RsgxJPVNz9Qd5/3B6igAAHS6Xd2oxv7hHH28aMHusVCw63G+/uVnGnvR2fpw/lyZpqnC9T+qoabC7/jw6DhlDN6fNwQBAAAAAAiisYceYXUE7IOxv+H5AgCgs1BMBUgKDwvTE9fcKBsf2AWXYeiJa29QVESE1UkAAOhUjU1NuvSh+0KqG9We7OpSddWDf1NFca7fvN0Zrqyh42WzOyxIBwAAAABA6Bo2fpLCeL++WwiLiNTQcROtjgEAQI9FMRWw0wFDhuqq086wOkZIufTEkzV55GirYwAA0KkK3WU65vor9eKnH0sKnW5Ue7Lr8T/12We64rX3VN3wvy3+DMOmrKHj5IyIsioeAAAAAAAhKywiQiMmTbE6Blph1OSDFRYebnUMAAB6LIqpgJ+5+azz2O4vSPpmZOrO8y+yOgYAAJ3qx/XrNOXyi7V49Uqro3RJ8zdu0dnPvKItpW5JUvrAMYqMc1mcCgAAAACA0LX/YUdZHQGtsP9hR1odAQCAHo1iKuBnwsPC9PKtf1VMZKQMtvzrFIakyPBwvXrb3WzvBwDo0T6cP1dHXH2ZCspKrY7SpW1zV+jsZ17RujpTcanZVscBAAAAACCkjTtqqiKio62OgV8RGR2jA4+aanUMAAB6NIqpgF8YktNHz990h6QdhT/oWKaku0+apgEpiVZHAQCg07z19Zc6465b1djcrNDe1K916pqadO4jj+rzH76zOgoAAAAAACEtIipKB08/1eoY+BUH//Y0hUdGWh0DAIAejWIqIIBjxk3QXy+4mA8/O8ElB0/Ubwb20fYV81Rdmm91HAAAOtxrX36m8+/9q3ymKdPkt4nWMCU1eTw65bYbNPu7hVbHAQAAAAAgpB1++llWR8CvOPy0M6yOAABAj0cxFbAHV536e53OntMd6vAhA3XRwRMkSabPp/w136ksdz0fNAMAeox3vv1KF/3jbzIlfr7tI9M05fF69fs7b9FXP/5gdRwAAAAAAEJWZr/+GjZ+ktUxEMDwCZOV0be/1TEAAOjxKKYC9sAwDD121XU6ZL+xVkfpEfbLydZfTzxGNqPl5omlW1apaMMymT6fRckAAOgYn//wnc77+10UUrWDaZpq8nh06m036oe1q62OAwAAAABAyDry9+dYHQEBHMHzAgBAUFBMBfyKiLBwvXnnPZo4fKTVUbq1/QcN0Qf3P6IEV3LA+cqircpdtVBeT3OQkwEA0DHW527XWXffJp/po5CqnUzTVENTk0674yYVlJVaHQcAAAAAgJA09rAj1XvIMEnGXo9FcPQZNkJjf3OE1TEAAAgJFFMBexEdEal37rqPgqo22n/QEL1/zwNyJSQpZ+RBinGlBzyurqJE25bPUXNDXZATAgDQPpW1NTrlthtUXVdHIVUHMWWq0O3W6XfcrIamRqvjAAAAAAAQcmw2m0676npJvNfRVZx25fWy2fhoFwCAYOAnLtAKcdHRev+e+9nybx9NHD5SH977kBJjYyVJNrtDmUPHKTEz8H7eTXXV2rrsW9VXlwczJgAAbeb1enXe3/+qDXm5VkfpkX5Yt0aXP/wARWoAAAAAAFhg5KSDNXTcRKtjQNLwCZM1ctIUq2MAABAyKKYCWik6IlJv//VenX7YkZJobLs3J005RO/fc7/ioqNbjBuGodR+I5Taf1TA87zNjdq+Yp6qS/ODERMAgHa547mn9el3i6yO0aO9+sWn+vc7b1gdAwAAAACAkGMYhk678jqrY0DSaVfwPAAAEEwUUwH7IDI8XM9cf7PuuvASyTBkGJRU/dyur8et51ygF2++U9ERkXs8NjGjr7KGTZBht/vNmT6v8td8J3fuBjpRAAC6rHkrlumfb75qdYwez5B06zNPaOWWTVZHAQAAAAAg5AwYNUbjj55mdYyQNuHY49Vv5GirYwAAEFIopgL2kWEYuvq0M/TWX+9VdESE1XG6DENSRFiYXr3tLt1w5rmtKjSLcaUpZ+QUOcICfx1LtqxU0cblMk1fB6cFAKB9ahvqdckD90oU/XY6U5LH69UlD9wrj9djdRwAAAAAAELO2Tferuj4eG4wDzLDMBQTn6CzbrjN6igAAIQciqmANjpm3AR988h/NbhXb6ujdAn9MrP09b8e1wmTD96n8yJi4pUz+mCFR8cHnK8s3KLclYvk9TR3REwAADrEHTOe1ubCfFFKFTw/rl+rf75BJzAAAAAAAIItPjlF5958FztJBJlpmjrv1rsUn5RsdRQAAEIOxVRAOwzJ6aP5jz2la04/U7YQvCPD0I47I/7829O08PFnNaJv/zat4wyPVM6ogxSdmBZwvq6iWNuWz1VzQ1070gIA0DHmrVimx99/2+oYIenuF2ew3R8AAAAAABaYcOxxOuCIY6yOEVIOPOpYjT/mOKtjAAAQkiimAtopIixcf73gYn39r8dDrktVv8wsffbgv3XvJZcpqp1bHtrsDmUNG6+EjH4B55vqqrR12bdqqKlo13UAAGgPj9ejyx6+n+39LOLxevXnfz3AnbAAAAAAAASZYRg675a/st1fEOza3u/cm/9qdRQAAEIWxVRAB9l/8FDNf+wpXfe7s+R0OKyO06kcdrv+7+TTtfDxZzVx+MgOW9cwDKX1H6nUfiMCznubG7Vt+VxVlxV02DUBANgXL87+WOtzt7O9n4UWrVqpWQvmWR0DAAAAAICQE5+cokvvfXjH+yIUVHUiQ5fe9zDb+wEAYCGKqYAOFBEWrjvOv0jLn31ZZx15TI/b+s8wDJ1+2JFa+sxL+vvFf2p3N6o9Sczsr6xh42XY7H5zps+r/NWL5c7bSFcKAEBQ1Tc26u4XZ3D3pcUMw9DtM56U1+u1OgoAAAAAACFn9JRD9burb6Brdyf63TU3aNRBh1gdAwCAkEYxFdAJctLS9cS1N2rRf2fouIkHWR2nQxw9boLm/+dpPfuXW9Q3I7PTrxfjSlfOqIPkCAtcsFWy+ScVb1oh0/R1ehYAACTp8fffVqG7jGJei5mmqTXbtuqVLz61OgoAAAAAACFp6nkXafJx062O0SMddMJvdey5f7A6BgAAIY9iKqATDevTV6/f8Td9/a/HdfphR+7e/q+rd7TYlc9us+uUQw7T5w89qnfuuk+j+g8Iao6ImATljD5Y4dFxAecrCjYrb9Vi+TzNQc0FAAg95dXVuv+1l7r8z/BQYRiG7nr+GTU0NVodBQAAAACAkGMYhi648171GzHa6ig9Sv+Ro3X+7ffw/hMAAF0AxVRAEBw4ZJie/cstWvfyW7rzgouVnZJqdaRfleFK0m3nXqh1L7+p52+6XROHj7QsizM8UjkjD1J0YlrA+dryIm1bMVfNjfVBTgYACCVPf/ieqmpr6UrVRZimqbzSEr36Od2pAAAAAACwQlh4uK585AklZ2ZbHaVHSMnqpSsfeVJh4eFWRwEAAKKYCgiq1IREXXv6mVr53Kt6+677dO4x05Qcn7B7Pth3G/z8eq7YOJ115DF64457tPrF1/WXM85RuispqHn2xOZwKmvYOCVk9A0431hbpW3LvlVDTUVwgwEAQoLX69VTH77PXYFdjCFDT37wHgVuAAAAAABYJDE1TTfNeFWJaelWR+nWXOkZumnGK0ro4jfiAwAQShxWBwBCkd1u1zHjJuiYcRPku8Kn79eu1qwF8zRr4Tyt3rolaDkGZffS1AmTNW3iZI0bMkx2uz1o195XhmFTar+RCouIVvHmn/zmPU0N2rZ8rjIHH6CYJF64AQA6zieLFyqvtMTqGPgFU6aWb9qg79as0rihw62OAwAAAABASErJytbNM17V3877ncqLi6yO0+0kpqXrpmdfocMXAABdDMVUgMVsNpvGDR2ucUOH684LLlZ5dbWWblinH9ev1Y/r1mrJ+rXaUljQ7uvkpKZp7KAhGjNosMYMGKT9Bg5SUlx8BzyC4DEMQ4lZ/eWIiFLB2h9k+rwt5k2fV3mrFym13wglZva3KCUAoKd58oP3rI6AX/HkB+9RTAUAAAAAgIXScvrolhfe1D3n/15lBXlWx+k2kjOzddOMV5WSRSEVAABdDcVUQBeTGBur34zZX78Zs//usfrGRhW6y1RQVrrzv2UqdJepvqlRXq9XHq9XDrtddrtdkWHhSkt0KSMpSemuJGUkJSvdlaSoiAgLH1XHik3KkHPUQcpduVDe5ka/+eJNP6mpvlap/UayJRMAoF025efp8x8WWx0Dv+Ltb77SvZdc1mLrZAAAAAAAEFyp2b1024tv6sHLLtS2tautjtPl9R4yTFc/+rRc6RlWRwEAAAFQTAV0A5Hh4eqbkam+GZlWR+kyImIS1Hv0wcpdtUhNdVV+8xUFm9XcUKfMIQfIZudbHQCgbV75fLbVEbAXTZ5mvfX1l/rjib+1OgoAAAAAACHNlZ6hW198S0/dep0Wz/7I6jhd1vijp+miu+9XeGSk1VEAAMAe2KwOAABt5YyIUs6ogxSVkBpwvra8SNuWz1VzY32QkwEAeopZC+bR5bAb+GjRfKsjAAAAAAAASRFRUbr8gUd18p+vliTeV9lp19fhlD9fo8se+DeFVAAAdHEUUwHo1uwOp7KHj1d8ep+A8421ldq27Fs11FQGNxgAoNvbXlyk5Zs2yDRNq6NgL75ZukRVtbVWxwAAAAAAANpRODT9kj/riof/q7CICKvjdAlhkZG68pEndOIll1NgBgBAN0AxFYBuzzBsSus/Sil9hgec9zQ1aNuKOapxFwU5GQCgO/uYbkfdhsfr1RdLvrM6BgAAAAAA+JkDjjha977/qYZPmLxjIMSKiHYVTY2YeJDuff9T7X/YURYnAgAArUUxFYAewTAMubIHKHPIgTJsdr950+tV3qqFKi/YbEE6AEB3NGvBfIXWW3zd26wF86yOAAAAAAAAfiE5M1t/eepFnX/b3xQeYl2qwiIjdcEd9+j6J19QckaW1XEAAMA+oJgKQI8Sm5ypXiMny+4MDzhfvHG5ijf9xJZNAIBf1dDUqG+WLRE/LbqP2d8t5Oc7AAAAAABdkGEYOuy0M3Tv+59qxMSDdg1aG6qz7HxcIydN0b3vf6rfnPJ7tvUDAKAbopgKQI8TGZuo3qMPVlhUbMD58vyNyl+9WD6vJ8jJAADdxU+bNqnZw8+J7sRdVaVtRYVWxwAAAAAAAHuQnJmt6598Qdc89qx6DRhkdZyOtbNgqtfAwbr28Rm67onn6UYFAEA3RjEVgB7JGRGlnFFTFJWQEnC+xl2obSvmytNYH+RkAIDu4Mf1a62OgDb4cf06qyMAAAAAAIBfYRiG9jv4N7r77Y902uV/Urwr0epIHSIhyaU//v0h3f3WLI2ecijdqAAA6OYopgLQY9kdTmUPm6D4tN4B5xtrKrV1+Rw11FYGORkAoKv7cQNFOd0RRXAAAAAAAHQPTXXVGjRikC6982Yd+/tTlJSeanWkNklKT9Wxvz9Fl95xo0ZNHCebjY9eAQDoCRxWBwCAzmTYbEobMFphkdEq2bLKb97TWK/ty+cqc8gBik5MsyAhAKAr+nHdWhmSTKuDoNUMSUsopgIAAAAAoFtw566XJDmcDu1/yEEae/Bk5W3J1colq/TDF7Pl8/l2bJ1ndqF3Z3bmsdntGn7gARo98QD1HjRgdxcqd+4GxSRl0pUKAIAegPJoAD2eYRhyZQ9U5pADZQS4K8Tn9Sh35SJVFGy2IB0AoKtpbGrSqq2bWxRS5aSlq3b2N3rimht2jz1xzQ2qnf2NctLSgx+ylVY9/5pWPf+a1TGCwhSdqQAAAAAA6A6a6mtUXZrXYswwDO1/xHH6v38+poc/n6+TL79KOYOGWJQwsJxBQ3Ty5Vfp4c/m6fIHHlWfwQNbFE411FSovqrMwoQAAKCj0JkKQMiITc6UIzxCeasWy9vc+ItZU0Ubl6upoVYpfYZz5wgAhLC80hJ5vF6rY/R4YU6n5j36pIb16ae8kmINOuvUPR6bk5auq087Q0fsf6AykpJU29CgTfl5eufbr/TI22/sPq68ulrVdXWKjYoKxkMAAAAAAABt4M7b4Ddmd4YrLq2XJCkxNU3T//h/mv7H/1NpQZ5+/PoL/fj1F1q1aL68Hk/QctodDg0bP0ljf3OE9jvkMCVnZO2eM01T4THxaqypbHGOO2+jouKTg5YRAAB0DoqpAISUyFiXckZPUd7KhWqqr/GbL8/bqOaGOmUMGiubnW+RABCKCt2tu4Pw9hlP6sE3XlF+aUknJ2q7aTdcbXWEPbrz/IvUK3XvXb2O2P9AvXLbXXLY7Pp48QK9/c2Xio6M0qDsXjp+0pQWxVTSjuePYioAAAAAALomT1ODqoq2+40nZvWXzWb3G0/OyNKRvz9HR/7+HNXX1mjTT8u1ZeUKbV71kzb/tFzFudsCX8gwtOuWaVNq8f/3tHVgaq/e6jt8pPoOG6E+w0eq34hRioyO2cPyhlxZA1Sw9ocW47XuQjXWVSs8KjZwLgAA0C1QKQAg5IRFRCtn9MHKX71YdZWlfvM1ZQXavmKesoaNlyMswoKEAAArFZT5/2wIpNDtVqHb3clp2mdzQb7VEQKaMmo/XX7Sqbry0X/qkf+7Zo/H9UnP0Eu3/FXuqiodd8PV2pCX22LeYfd/k7WgrFQDs3t1eGYAAAAAANB+7ryNMk1fizGb3aGE9D57PTcyOkbDx0/S8PGTdo/VVlUpb+N6VZQUqaKkWOXFxaooLVZlSbGaGhvk9Xjl83lls9lld9gVFh6h+JRUJaakKSElRQkpqUpISVNW/4GKjovbp8cSm5ypki2r5GmsbzFenrdR6QP326e1AABA10IxFYCQZHc4lT18ooo2LlNlkf+dKw01Fdq67FtlD5ug8Oh9ewEFAOjeWlsg9cQ1N+iso47V0HNO17aiwhZzf5p+si6YeoL6ZmTIXVWlmfPn6M4ZT2vh489Ikoad+7s25zti/wP1p+mnaP/BQxQbGaW80hLNnPet/vHqS6qsbdl1cdXzr/ld76wjj9ET196oSx74u/LLSnXDmedqdP8Bqm9s0ieLF+gv/31UlbU1Gt1/oG499wJNGDZSTodd3yz9Udc+/ojfY91XsVFReuKaG/T10iV6ZtbMXy2muvns8xUbFaVz/36nXyGVpIDbMba2sxgAAAAAAAgur6dJFYWb/cYTMvrK7nC2ac3ouDgNGrN/e6O1iWHY5Mrsr+LNP7UYryreruTeQ7hZGwCAboxiKgAhy7DZlDZgPzkjolW6dbXfvKexXtuWz1HmkAMVnZhqQUIAgBXaW4zzz8uv0sXHT1d+aYme/ehDNXuaNXXCZB0weKicDoeaPZ42r33Dmefq1nMuUFlVpT5ZtEAlFeUa0be/rjz19zpq3AQdduWfVF1X16q1pk6YrGPHT9THixbomVkzNX7YCJ191LHqnZau2559UrPue0jzf1quF2bP0vA+/TRt4mT1zczUuEvOl7mHdvit8cCl/6eE2Fhd+tB9v3qcw27X9IMOUXG5W7MXL9T+g4do4rCRctjtWrN9q7744buAX0uKqQAAAAAA6JoqCjbL/MWNUYbNpsTM/hYlar/4tByVblsrn7d595hp+lRRsFnJvYdamAwAALQHxVQAQpphGErqNUjOiGgVrlvi117Y5/Uod+VCpQ0Y1ao2wwCA7q+sqrLN504aMUoXHz9d67Zv06FXXLq7U9TtM57Sh/c+pMzkFG0tLGjT2gePHqNbz7lAC1f9pN/e8pcWXah2dZu65ezz9Zcn/tOq9aZNnKRpf7lac1csk7TjZ+LMex7QYWMP0Dt336c/P/yAXv/q893HP3bV9Tr3mGmaOmGSZi2Y16bHcPykKTrrqGN16UP3Kbek+FePHd6nn6IiIrR49Uo9f9PtOuWQw1rMbysq1Jl3364l69a0GC+tbPvzBwAAAAAAOofP61F5/ia/8fi03nKEhVuQqGPYHE4lZPSRO3d9i/Hygs1yZQ+Uzc5HsQAAdEc2qwMAQFcQl5KlXiMny+4ICzBrqmjDMpVsXtmuThwAgO6hPZ2jzjziaEnS/a+13HKv2ePR7c8+2a5cl554siTp8ofv99vO76XPPtGyDet1+mFHtnq9N7/6cnchlSSZpqlXv/hUkrRqy+YWhVSS9MrnsyVJo/oNaFP+1IRE/fuKazR78UK9MPujvR6fkpAgSTpo1GgdfeAEXfrgfco+5TgNPutUPfTGK8pJS9c7d92npLj4FucF2voPAAAAAABYq7Jom7zNTb8YNeTKatv7DF1JYmY/yTBajPk8zaos2mZRIgAA0F6UQwPATpFxLuXsd7DyVi5UU32N37w7b4OaGmqVMWh/2ex2CxICAIKhPcU4owcMlCTN/2m539ziNavaVag1fugwNTU366Qph+qkKf7zTqdDKQmJcsXGyV1dtdf1lqxf4zdWUFYqSVq6fq3fXP7OuayUtm19++iV18lhd+iyh+9v1fF22477Phx2h26f8ahe+HRHAVZ5dbVufeYJ9cvM0vSDDtH5xx6nB15/efd5FFMBAAAAANC1mD6f3Hkb/MbjUrLkjIiyIFHHcoRFKC6ll6qKWxZPledtVEJGXxm/KLQCAABdH8VUAPAzYRHRyhk9Rfmrv1NdZanffE1Zgbb/NE9ZQ8fJERZhQUIAQGdrTxfCuOhoSVJxebnfnM/nk7sdWwi64uLldDh089nn/+px0ZGRrSqmqqqt9RvbVYhU+StzzjYUFJ9xxNGaNnGyLrr/nt0FW3tTXvO/wuaZ8+b4zX8wb46mH3SI9h88tMU4XSQBAAAAAOhaqkrz5Gms9xt3ZQ+0IE3ncGX19yumam6sU01ZvmKTsyxKBQAA2opiKgD4BbsjTNnDJ6pww1JVFW/3m2+oLte2ZXOUNXy8wqPiLEgIAOhMTkfbf0Wurq2TJKUmJmpLYUGLOZvNJldcvPJLS9q0dmVtjWw2m3qdcnyb81llv50du5667iY9dd1NfvNZKamqnf2NJCnzt9NUWVuj9bn/ewOyssa/Y2R5TbUkKTK85Ra97Xn+AAAAAABAxzJNU+7c9X7j0a50hUf3nPfXw6PjFJ2Yptryohbj7twNiknKpDsVAADdDJ80AEAAhs2m9IFjFBYZrdKt/tsgNTfWaduyOcocOk7RCSkWJAQAdBZHO7ZyXbZxvfYbOEiTRozyK6YaN2RYuwp9vluzSseOn6Shvfto9dYtbV7HCotWr1R0RGTAufOOPU61DfV686svJEmNzU2Sdmznt2zDeo0eMFDD+vTV92tXtzhveJ++kqStRYUtxtvz/AEAAAAAgI5V6y5UU12133hSD+pKtYsrq79fMVVDTYXqq9yKik+yKBUAAGgLm9UBAKCrMgxDSb0GK2Pw/jIM/2+XPq9HuSsXqLJwqwXpAACdJTG27XdFvvL5bEnSdb87S3FR0bvHnQ6H7jj/onblevSdN3f898rrlO7yfwMuKjxCBw4Z1q5rdJa3v/lKlz18f8D/SVJFdfXuPzc0Ne0+74kP3pUk3XH+HxTu/F8HqszkFF1+0qmSpLe+/rLFtRJjYzv74QAAAAAAgFYwTVNlAbpSRcYlKTLOZUGizhUZn6zw6Hi/cXfeBgvSAACA9qAzFQDsRVxKthzhkcpftVheT1PLSdNU4YalamqoVXLvobTqBYAeICOp7XcKzl2xTM/MmqkLp52g7598Tu/P/VbNXo+OHT9JVXW1yi8tkc8027T210uX6NZn/qs7z79Yy2e8rNmLF2lrYYGiIyOVk5qmg0aN1oKVKzT95uvbnL+reWH2Rzpm3ESdMHmKFj7+jD7/4TtFR0TouEkHKSkuXo+9+5bmLF/a4pyMpGRrwgIAAAAAgBbqq8rUUF3uN57Uq+d1pZJ23KDtyh6ggrU/tBivdReqsa5a4VHcAAYAQHdBMRUAtEJUXJJyRk9R7qqFaq6v9Zt3565Xc0Ot0geOlY3thQCgWwvU9WlfXPHvh7Ru+zZdMO14XTjtBLmrqzRz3hzdMeMprXv5LZUW5LV57YfeeFULVv6kS6efrEnDR+q4iZNVWVurgrISzfjoQ73+1eftyt7VmKaps+6+XZecMF1nH3WszjtmmnymTys2bdTTH76v1778zO+c9j5/AAAAAACgY7gDdKUKj45XVEKqBWmCIzY5UyVbVsnTWN9ivDxvo9IH7mdNKAAAsM8opgKAVgqLjFHvUQcrb/Vi1VeV+c1Xl+arubFeWcPGy+EMtyBh5/F6vSqprFBBWZmK3GUqKCtVcUW5Gpub5fF65fV55bDZ5XQ4FB0ZqYykZKW7kpThSlJ6UpLioqLp2gWg2whUjLOtqFDRRx/SYuySB+/VJQ/e63esaZp69N039ei7b7YY75+ZpdioKK3dtq1d+RasXKEFK1e06tiIsDBV1rYsAn7ps0/00mefBDx+zvKlfo9zl0Bfg46wtzW9Pq8ee+9tPfbe261aL93V87YJAAAAAACgu2moqVBtebHfuCt7YI9+r9gwbErM7K+SzT+1GK8q3q7k3kPkCIuwKBkAANgXFFMBwD6wO8OUPWKiitYvVVVJrt98Q3W5ti37VlnDJnTblr3VdXVatnG9lqxbox/Xr9OP69dqU36evD5fm9eMjojQyH4DNGbgIO03cLDGDhyswb1yZKeLF4AuqL3bxKUlulRcUS7zZ9v5RYaH6x9//LMkaeb8Oe1av7USY2OVFB+v1Vu3BOV6XQXb/AEAAAAAYD137ga/MWdEtGKTMyxIE1wJaTkq27ZWPm/z7jHT9KmiYLOSew+1MBkAAGgtiqkAYB/ZbHalDxorZ2SMyrat8ZtvbqjTtmVzlDX0QEUlpFiQcN94vV59v3a1Zi2cr48XztfqbVtaFAB0hNqGBi1atVILV/3vbpzIsHAdNGq0pk6YpKnjJys7tee2dgbQvWQlp8hmGPK18XvhZSedolMPPVxzli9VobtMaYkuHTpmf2WnpGr24oV659uvOjhxS3FR0brilNN1xAHj5LA79O7cbzr1el1JTGSU4qKirY4BAAAAAEBIa6qvUXVpnt+4K3uADMNmQaLgsjmcSsjo47fNYXnBZrmyB8pm5+NZAAC6On5aA0AbGIah5JzBckZEqWj9Uplmy65NPm+ztq9coPQB+yk+LceilHvW7PHos+8X6YP5c/XRwvkqrayQJBkyZKpjC6l2+eW69U2N+uz7xfrs+8W66tGHNbr/AE2beJBOmnKohvXp2ykZAKA1IsPDNTint9Zs3dKm74hfLvleI/sN0OFjD1RibKw8Pq825Obq8ffebrH136h+A3TcpINateY9Lz3X6usnxMbq2t+dqS2FhbrtmSf0zKyZ+/oQWuWsI49RTlr6Xo9bvnGDPlwwt1My/JwhaezAQT16qwAAAAAAALoDd55/Vyq7M1xxqb0sSGONxIy+O74OP7tZz+dpVmXRNiVm9rMwGQAAaA2KqQCgHeJTe8kZHqm81Yvl8zS3nDRNFa7/Uc0NtUrKGdIlPtwtKCvVjI8/1DOzZqrQXeY331mFVK2xfNNGLdu4Qfe89JwmjxytS46fruMnTVGY02lZJgCha8zAwW3eHu/rpUv09dIlez1uVP8Buvns81u15r4UU20rKlT81MNbfXxbnXnkMTp49Ji9HvfSpx8HpZjKlDRm0JBOvw4AAAAAANgzT2O9qoq2+427svrLZrNbkMgajvBIxaVkq6q45deiPH+jEjL6donPCwAAwJ5RTAUA7RQVn6zeow9W7sqFam6o9Zsv275OTQ21Sh84xpIXi6Zpau6KZXpy5rt6f94ceX3eLvlC7edbC85fsUzzVixTakKiLph6vP5w3InKSEq2MB2AUDNm4CC98vnsTr3GS599opc++6RTr9GZjr3+Sqsj+BkzcJDVEQAAAAAACGnu/E1+OznY7E7Fp/exJpCFXFkD/IqpmhvqVFNWoNjkTItSAQCA1uj5GxMDQBCERcYoZ/QURca5As5Xl+Qp96f58jQ3BjXX92tWa+pfrtIx112hd+Z8La/PK6ll4VJXtCtdSUW57n3lBQ0/93e6+enH5a6qsjQXgNAxZuBgqyOgDXjeAAAAAACwjtfTpIrCzX7jCZl9ZXeE3g4E4dFxik5M9Rt3567v8u/RAwAQ6iimAoAO4nCGK3vEJMWmZAecr69ya9uyOWqqr+n0LGu3bdWZd92mQ674o75d9mOnX6+z7Ho52djcrIfffE3Dzj1d97/2kuoaGizNBaDnG9V/gOw2flXuTmKjotQvg7s6AQAAAACwSkXBZpleb4sxw2ZTYkY/ixJZLzFrgN9YQ02F6qvcFqQBAACtxSdEANCBbDa7MgaNVVKvwJ0xmhtqtXXZt6qrLO2U61fV1urKfz+kAy85T+/N/aZTrmGlmrp63THjKY047/d67cvPuHsHQKeJjojUpBGj1PU2RcWeHLn/ONkogAMAAAAAwBI+r0fleZv8xuPTessRFm5Boq4hKj5Z4dHxfuPleRssSAMAAFqLTxsAoIMZhqHk3kOUPnCMZPh/DO/zNGv7T/NV+Yu90tvr8x++0wEXn6unPnxfXp9v7yd0Q+bOXlXFFeW68L679bs7b1Ghu8ziVAB6qqkTJomSze5j6sTJVkcAAAAAACBkVRZtk9fT9ItRQ64AnZlCiWEYcmX7fw1q3IVqqqu2IBEAAGgNiqkAoJPEp+Wo14hJsgXaC940VbhuiUq3rml3d6Wq2lpd9s9/6MSbrlV+Wed0vOpqdn3NPlwwV2P/cA5dqgB0iqkTKM7pLuw2m44+cILVMQAAAAAACEmmzyd3gE5LcSlZckZEWZCoa4lNypQjPNJv3J230YI0AACgNSimAoBOFBWfrN6jpuzxBWPZ9rUqWLdEPp834PzeLFi5QgdcfK6e+2SWJIVkQVFVXa0uvO9unXHXraqsrbE6DoAeZEBWtgb3ypERoMsgug5D0qQRo+SKi7M6CgAAAAAAIamqNE+exnq/cVf2QAvSdD2GzabEzP5+41XF2+VparAgEQAA2BuKqQCgk4VFxSpn9MGKiHUFnK8uyVXuTwvkbf5lC+Rf9/wns3TMdVeETDeqPdlVQDZz3hwd/OdLtD63Y7dPBBDapk6YHJKFqt2JKenY8ZOsjgEAAAAAQEgyTVPu3PV+4zGudIVHc+PTLglpObLZHS3GTNOnioLNFiUCAAC/hmIqAAgChzNcvUZOUmxyVsD5+qoybV32rZrq995ZyeP16NrH/qU//fMf8vp8fMj/MxvycnXwny/R5z98Z3UUAD3E7484yuoI2Au7zaZTDz3M6hgAAAAAAISkWnehmuqq/cbpStWSzeFUQkYfv/Hygs3yeT3BDwQAAH4VxVQAECQ2m10Zg/eXq9eggPPNDbXauuxb1VWW7XENd1WVTrzpOj3+/juSQnNbv72prq/TSTdfp3+/8wZfHwDtNrxPP00aMUps9Nd1HT9pijKTU6yOAQAAAABAyDFNU2UBulJFxiUpMi7wTg2hLDGjn2S0fJfJ52lWZdE2ixIBAIA9oZgKAILIMAyl9B6q9IH7+b1okna8cMr9ab6qinP95grdZTri6sv19dIlQUjafZmmKdM0dcMT/9HNT/+XgioA7Xbx8dPFd5Ku66Ljp1sdAQAAAACAkFRfVaaG6nK/8aRedKUKxBEeqbiUbL/x8vyNvI8NAEAXQzEVAFggPq23sodP9NsjXdqxT3rBuh9Uum3t7hdQeSXFOura/9Pa7VuDHbVb2vWy819vvaZrH/sXL0QBtMuJkw9WcnyCDPpTdSmGYWhgdi8dMnqM1VEAAAAAAAhJZdv9u1KFR8crKiHVgjTdgytrgN9Yc0OdasoKLEgDAAD2hGIqALBIdEKKckYfLGd4VMD5sm1rVLj+RxWUlujo667Qxjz/blXYu//OfFfXPf4IBVUA2izM6dQFU4+XSX+qLsU0TV103HQZATo9AgAAAACAztVQU6G6imK/cVf2QF6r/4rw6DhFJ/oXm7nzNvAeNgAAXQjFVABgofCoWOWMPlgRsYkB57duXqujrrpUmwvyg5ysZ3n8/Xd06zNP8GIUQJtdcsJJigwLpzdVF2EYhpLi4nXO0VOtjgIAAAAAQEhy5/p3pXJGRCs2OdOCNN1LYoDuVA3V5aqvcluQBgAABEIxFQBYzBEWrl4jJvu9yGzyeHTVG+9rU3GJRcl6ln+++aqe+vA9q2MA6KbSXUn6v1NOpzdVF2Gapm4861zFRgXu7ggAAAAAADpPU32Nqkv9bwB2ZQ+gK1UrRMUnKzw63m+8PG+DBWkAAEAgFFMBQBdgs9uVMfgAubIHStrxIfE9H32h5bnsk95RDMPQtY89oq+XLrE6CoBu6opTTldibCxvClrMMAzlpKbpgmOPtzoKAAAAAAAhyZ3rX/RjDwtXXGovC9J0P4ZhyBWgO1WNu1BNddUWJAIAAL9EMRUAdBGGYSilzzClDdhPr363VDOXrbQ6Uo9imqZ8pqkz77qVbRMBtEl8dIyu//3ZbBlqMdM0ddt5f1B4WJjVUQAAAAAACDmexnpVFW/3G3dl9pfNZrcgUfcUm5wpR3ik37g7f6MFaQAAwC9RTAUAXcz3ecV66NOvRd+TjmeapipqanTKbTequq7O6jgAuqGLj5+urJRUulNZxJA0vG8/nf6bI6yOAgAAAABASHLnb5Jp+lqM2exOxaf3sSZQN2XYbErM7O83XlW0XZ6mRgsSAQCAn6OYCgC6kIKyMp17zx0yJdH3pPOs2bZFf/7XA1bHANANRYSF61+XX0V3KosYhqFHr7hWNhsvYwAAAAAACDavp0kVhZv9xhMy+8rucFqQqHtLSMuRze5oMWaaPlUUbLIoEQAA2IVPIQCgizBNU1c88qAqamr4kD4I3vz6C82c963VMQB0Q8dOmKQzjjja6hgh6f9OOV3jhg63OgYAAAAAACGpIn+zTK+3xZhhsysxs59Fibo3m8OphIw+fuPlBZvl83qCHwgAAOxGMRUAdBGvffmZZi2cZ3WMkGEYhv78rwdVVlVpdRQA3dA//vhnpbtcbPcXJIakgVm9dMvZF1gdBQAAAACAkOTzelSe798xKT4tRw5nuAWJeoaEjH7SL95f8nmaVVm83aJEAABAopgKALqEgrIyXfOff/GhfBCZpqnSygpd859/WR0FQDeUGBur/1x5PZ0Eg8QwDD153Y2KDOfNWQAAAAAArFBZtE1eT9MvRg25sgZYkqencIZHKi4l22+8PG8j7zsBAGAhiqkAoAu48t8PqbKW7f2s8ObXX+iD+XOsjgGgGzpm/ESdd8w0q2OEhGtOP5Pt/QAAAAAAsIjp88mdt8FvPC4lS86IKAsS9SyBCtKaG2pVU1ZgQRoAACBRTAUAlvt66RJ9uGCu1TFClmEYuuGJ/6ipudnqKAC6oYcuu5Iin052zLiJuvUctvcDAAAAAMAqVSW58jTW+427sgdakKbnCY+OU3Riqt+4O28DN2ADAGARiqkAwEKmaerWZ/4rNvezjmma2lJYoBkff2h1FADdUHhYmF697S5lJCXzvbwTDOqVoxk33Cq73W51FAAAAAAAQpJpmgG7UsW40hUeHWdBop4pMUB3qobqctVXuS1IAwAAKKYCAAu9P/dbLVm3VtxbYi3DMPT3l59TTX2d1VEAdEPpriS9eec9CnM6ZRiUVHUEwzAUHx2jt+78u+Kio62OAwAAAABAyKpxF6qprtpvnK5UHSsqPlnh0fF+4+UBCtkAAEDno5gKACzi8Xp0x4yn+OC9CzBNUyUVFfrPu29ZHQVANzVm4GA9ce2NMk2T7+vtZBiGbIZNL958h/pnZVsdBwAAAACAkGWapty56/3GI+OSFBnnsiBRz2UYhlwBulPtqZgNAAB0LoqpAMAiL38+W+vztrPneRdhSHrw9VdUXs0LUwBtc+qhh+vhy6/aUVBldZhuyjAMGZKeu/FWHb7/gVbHAQAAAAAgpNVXlqmhutxvPKnXIAvS9HyxyZlyhEf6jbvzN1mQBgCA0EYxFQBYwDRNPfbuW3Qv6UJMSbUN9Xrps4+tjgKgG7vo+Om675LLZUoUVO2jXT8Tn7zuJv324N9YnAYAAAAAAJQF6EoVHh2vqIQUC9L0fIbNpsTMfn7jVUXb5GlqtCARAAChi2IqALDAwlU/6afNm+hK1cUYhqGnPnhPPp/P6igAurHLf3uq/nHJZRRU7YMdW/sZeub6m/X7w4+yOg4AAAAAACGvoaZCdRXFfuOu7IHcJNyJEtJ6y2Z3tBgzTZ8qCjZblAgAgNBEMRUAWODJD96zOgICME1TG/Pz9NWPP1gdBUA3Zvp8OmFQtm497khp57Z12DPDMOS0O/TCTXfo9MOOtDoOAAAAAACQ5A7QlcoZEa3Y5EwL0oQOm8OphPQ+fuMVBZvl83qCHwgAgBBFMRUABFlxRbne+fYrq2PgVzz14XtWRwDQTZmmqaKNy1RXUaKTxozUf874rWLCw62O1aWlJiTq0wcf0fQph1gdBQAAAAAASGqqr1F1ab7fuCt7AF2pgiAhs5/0i6+z19OkyuLtFiUCACD0UEwFAEH24uyP5fF6rY6BXzFrwTzllfi3sAaAvXHnrldl0bbdf57Qr7de/MMZ6pPssjBV1zV20GDN+89TOnDIMKujAAAAAACAndy5G/zG7GHhikvtZUGa0OMMj1RcSrbfeHneRpmmaUEiAABCD8VUABBk7835mrt3ujifaerDBfOsjgGgm6kqzlXp1tV+4zmuRH1+30M6dvxESQr5bf92/Qz83eFH6tMH/q2MpGSLEwEAAAAAgF08jfWqCtAByZU5QDab3YJEocmVNcBvrLmhVjVlBRakAQAg9FBMBQBBlF9aoiXr13L3SDcwayHFVABar66yTIXrfww4l9Z/lDKy++r12/+muy68RE6HM8jpupbI8HA98n/X6OnrblYkWyACAAAAANCluPM3yTR9LcZsdqcS0ntblCg0hUfHKSoh1W/cnbeBzxcAAAgCiqkAIIg+XrTA6ghopW+WLlFVba3VMQB0A0111cpbvcjvjUZJSswaoISMvpIku92uq087Qwsef1r7DxoiKXS6VO3qRnXofvvr+yee04XTTqBLIwAAAAAAXYzX06SKws1+44mZfWUL8ZvDrODK9u9O1VBdrvpqtwVpAAAILRRTAUAQfbRwvtUR0Eoer1dfLPnO6hgAujhPc6NyVy2Uz9PsNxeTlKmUPsP8xofk9NGXD/8npLpU7epG9eG9D6p3eobVcQAAAAAAQAAV+Ztler0txgybXQmZ/SxKFNqi4pMVHh3vN16eu8GCNAAAhBaKqQAgSGob6vXlku+tjoF98OGCuVZHANCF+bxe5a1apOaGOr+5iNhEZQwau8fuSw67Q1efdoYW/fdZnTB5SmdHtYxhGPr94UdpyVMv0I0KAAAAAIAuzOf1qDx/k994fFqOHM5wCxLBMAy5svr7jde4C9VUX2NBIgAAQgfFVAAQJD+sXaOmAJ1L0HXNW7Hc6ggAuijTNFWwbokaqsv95pwRUcoaNl42u32v6wzqlaNXb7tbX//rcU0ZtZ+knrP137HjJ2rBY8/o6etvVq/UNKvjAAAAAACAX1FZtE1eT1PLQcOQK8t/qzkET2xylhzhkX7j7ryNFqQBACB0UEwFAEHy4/p1VkfAPtpeXKTSygqrYwDogkq2rFJNWb7fuM3hVPawCft8x+aBQ4bp4388rHfv/odGDxjYUTEtMWnEKH36wCN666/3amQ//7snAQAAAABA12L6fHLn+W8dF5eSLWdElAWJsIthsykxwDaLVcXb5GlqtCARAAChgWIqAAiSH9evtToC2oAiOAC/VFGwWeUB3mA0DJuyho5TWFRsm9Y1DENHHThecx99Sl889B+dftiRcjocu+e6ol25IsPCdf6xx2nef57SZw/+W5NHjrY4GQAAAAAAaK2qklx5Guv9xulK1TXEp/WWze5oMWb6fKoo2GxRIgAAej7H3g8BAHSEJevWWB0BbbB0/VodecA4q2MA6CJq3EUq2hh4C9D0gWMUFZ/c7msYhqEJw0dowvARuveSy/TC7I/07KyZ2lpUuHveNM12X6fN+WTI1I7rD8jK1sXHT9cZRxythJi2FZEBAAAAAADrmKYpd+56v/EYV7rCo+MsSIRfsjucSkjv49c9rKJgs1zZA/wKrQAAQPvx0xUAgqCytkYb8/OsjoE2oDMVgF0aaiqUv+a7gHPJvYcoLjW7w6+ZmpCoa08/U9ecdoaWb9qgjxbM06yF81p8bzIkdWZp1c+LpwzD0PihwzV1wmRNnTBJQ3J6d9muWQAAAAAAYO9q3IVqqq/xG3dlD7QgDfYkIbOf3PkbpZ/dYOf1NKmyeLsSM/pamAwAgJ6JYioACII1W7f4jeWkpWv1C6/rpU8/1iUP3itJeuKaG3TWUcdq6Dmna9vODiRdzarnX5MkDTv3dxYnCY6fNm+0OgKALqC5sV55qxbJ9Hn95uLTcuTKHtSp1zcMQ6P7D9To/gN141nnKb+0RB8vWqAFK1fox/VrtW77Nvl+0a1qX4usAnW8sttsGtq7j8YMHKxJI0bpmPETlZqQ2P4HBAAAAAAALLenrlSR8cmKjHNZkAh74gyPVFxKtqqKt7cYL8/bqIT0PtzsBgBAB6OYCgCCIL+s1OoIPdJZRx6jJ669cY/z//fIg3pm1ky/8YiwMF1z+pk65ZDDlJOWpuq6On27fKn+9sIMrd2+tcWxBTx3QMjzepqVt3KhPE0NfnNRCSlK6z866G9YZSan6MJpJ+jCaSdIkmrq67R84wb9uH6d1mzbooKyUhW63covLVFJRblfodXP2W02pSW6lJGUrHRXkjKSkjSsTz+NHTRYI/r2V2R4eLAeFgAAAAAACKL6yjI1VJf7jSfRlapLSszq71dM1dxQq5qyAsUmZ1qUCgCAnoliKgAIgkJ3WauOu33Gk3rwjVeUX1rSyYnabtoNV1sdwc8H8+do+cYNfuNL1q31GwtzOvXB3x/UpBGj9MPaNXrsvbeVnZKqk6YcqmPGTdDU66/S92tX7z6+rrFR1XV1io2K6tTHAKBrMn0+5a/5Xo11VX5zYVGxyhxyoAybzYJkLcVERmnSiFGaNGKU35zX61VJZYUam5rU7PXK6/XKYbfLYbcrMiJCyXHxsnWBxwAAAAAAAIKrLHed31h4dLyiElIsSIO9iYiOV1RCquoqiluMu/M2UEwFAEAHo5gKAIKgoKx1xVSFbrcK3e5OTtM+mwvyrY7g58P5c/XSZ5+06tj/++1pmjRilN759mudc88du7e0euubL/XGHffo8Wv+onGXnN9iq6uCslLFRuV0SnYAXZdpmirauNzvDSpJsjvDlT1sguwOpwXJ9o3dble6K8nqGAAAAAAAoAtpqKlQXYX/Tb2u7IFsGdeFubL7+71X1VBdrvoqN1szAgDQgbgFHQCCoLWdqZ645gbVzv5GOWnpfnN/mn6yvn/yeZV98KnWv/yWHrzsCsVFRWvV869p1fOvtSvfEfsfqHfuuk9b33hf7g8+04oZr+hvf/ij4qNj/I4NdL2zjjxGtbO/0VlHHqPDxh6gTx/8t4re+1hbXn9f/73mht3rjO4/UG/99e/KfetDFb33sd64456Aj7Uz7doS65anH29RMDVrwTzNXbFMw3r31ZRR+7U4p7XPH4CexZ23QZVFW/3GDZtd2cMnyBlBxzoAAAAAANA9uXPX+405I6LpcNTFRcWnKDw63m880PMJAADajs5UABAEhe4yGTJkytz7wQH88/KrdPHx05VfWqJnP/pQzZ5mTZ0wWQcMHiqnw6Fmj6fN2W4481zdes4FKquq1CeLFqikolwj+vbXlaf+XkeNm6DDrvyTquvqWrXW1AmTdez4ifp40QI9M2umxg8bobOPOla909J127NPatZ9D2n+T8v1wuxZGt6nn6ZNnKy+mZl+naD21aj+A3RZzCmKcIYpv6xU3yz7MeBWif0ys5STlq5127dpa1Gh3/xn3y3SQSNH65DRY/Ttsh93jxeUlbY5G4DuqaokT6VbVgWcyxxygCJiEoIbCAAAAAAAoIM01deoutR/BwJX9gC6UnVxhmHIldVfBeuWtBivcReqqb5GYZH+N0gDAIB9RzEVAARBXUODZEhtqaWaNGKULj5+utZt36ZDr7hUlbU1kqTbZzylD+99SJnJKdpaWNCmXAePHqNbz7lAC1f9pN/e8pfda0s7uk09ce2NuuXs8/WXJ/7TqvWmTZykaX+5WnNXLJO044XdzHse0GFjD9A7d9+nPz/8gF7/6vPdxz921fU695hpmjphkmYtmNemxyBJl510aos/e7wePffJLF3/+KNqbG7aPT4wu5ckaUNebsB1do0P2HncLvWNjW3OBqD7qasqU+Ev3pDaJbXfSMW4gttRDwAAAAAAoCO5czf4jdnDwhWX2ivA0ehqYpOzVLJllTxNDS3G3XkblT5gtEWpAADoWdjmDwCCwOP1tvncM484WpJ0/2svtSh2avZ4dPuzT7Yr16UnnixJuvzh+1usLUkvffaJlm1Yr9MPO7LV67351Ze7C6kkyTRNvfrFp5KkVVs2tyikkqRXPp8tSRrVb0Cb8m8pLNDV/3lYoy84U8knHKX+vz9JZ919u7YWFeoP007Uf6/5S4vjd203WPWLx7pLVV2tJCnhF9sbtuf5A9C9NNXXKH/VYpmmz28uMbO/EjP7WZAKAAAAAACgYzQ31quyeJvfuCtzgGw2uwWJsK8Mm02Jmf39xquKt8nTxI3BAAB0BDpTAUAQeLxeqY3b2I0eMFCSNP+n5X5zi9esatcWf+OHDlNTc7NOmnKoTpriP+90OpSSkChXbJzc1VV7XW/J+jV+Y7u2yFu6fq3fXP7OuayU1H1MvsPcFctaFG/VNzbq3Tlfa/GalVr4+LM67TdH6KE3XtGKTRtbtd6uBta/3I6RYiogNHiaG5W7cqG8nia/uZikDKX0HW5BKgAAAAAAgI5Tnr/R771qm92phPTeFiVCW8Sn91bZ9rXyef/3+YDp86miYLOSew+xMBkAAD0DxVQAEAR2m00yjDYVVMVFR0uSisvL/eZ8Pp/cVZVtzuWKi5fT4dDNZ5//q8dFR0a2qpiqqrbWb2xXIVLlr8w57R17x1NeSYk+XbxQvzv8KE0eMXp3MdWu7ltx0YH3jY+Nig6Y1W6jkSPQ0/l8XuWtWqzmBv/vVRExCcoYNFaGYQQ4EwAAAAAAoHvwNjeponCL33hiZl/ZHM7gB0Kb2R1Oxaf3UXleyy0bKwo2y5U9QDY7HwEDANAe/CQFgCBwOtr+7ba6tk6SlJqYqC2FBS3mbDabXHHxyi8tadPalbU1stls6nXK8W3O11WVVlZIkqIjInaPrc/dLkkakJUd8Jxd4xt2HrdLe54/AF2faZoqXPejGqrdfnPO8ChlDRvPG1AAAAAAAKDbKy/YLPMXXfgNm10Jmf0sSoT2SMzs59dpzOtpUmXxdiVm9LUwGQAA3R+tNgAgCMKdYW0+d9nG9ZKkSSNG+c2NGzKsXYU+361ZJVdsnIb27tPmNbqqA4YMkyRt/lkB2qb8PG0rKtSgXjnqnZbud86RB46XJH2z7McW4+FhbX/+AHR9pVtXq7o0z2/cZncqa/gEOcIiApwFAAAAAADQffi8HlXkb/Ibj0/LkcMZbkEitJczPFJxKf43DpfnbZTZhl0yAADA/1BMBQBBkOZytfnFyyufz5YkXfe7sxS3cxs6aUe3pDvOv6hduR59580d/73yOqW7kvzmo8IjdODOoqSuKFCBmSRde/qZmjBshEoqKvTZ94tazD0za6Yk6e4/XNpiy65pEyfroJGjtWrrZs1ZvrTFOWmJro4NDqDLqCjcInfuev8Jw1DW0HEKj4oNfigAAAAAAIAOVlm0VV5PU8tBw5Ara4A1gdAhErP6+401N9SqpqwgwNEAAKC12K8EAIIgI8m/UKm15q5YpmdmzdSF007Q908+p/fnfqtmr0fHjp+kqrpa5ZeWyNfGQq2vly7Rrc/8V3eef7GWz3hZsxcv0tbCAkVHRionNU0HjRqtBStXaPrN17c5f2f67MF/a932bVqybo3yy0oVFx2ticNGanjffqptqNeF992l6rq6Fuc88s4bOmb8RP324EPVO+2/+nrpD+qVmqaTphyq2oZ6XfrgfX6FbxlJycF8WACCpLa8WEUblgecSx84RlEJ/NsHAAAAAADdn+nzyZ230W88LiVbzogoCxKho0RExysqIUV1FSUtxt15GxSbnGlRKgAAuj+KqQAgCAJ1fdoXV/z7Ia3bvk0XTDteF047Qe7qKs2cN0d3zHhK615+S6UF/ttTtdZDb7yqBSt/0qXTT9ak4SN13MTJqqytVUFZiWZ89KFe/+rzdmXvTA+/+ar2HzxUh+w3VomxsfL5TG0vKdJ/Z76jf7/9hrYU+t9909TcrONuuFrXnH6mTvvNEbr8pFNVVVenD+bP1d9efFZrtm31O6e9zx+ArqehtlL5a76T5F+MmpQzRPGpvYIfCgAAAAAAoBNUleTK01jvN+7KpitVT+DKHuBXTNVQXa76Krci49h1AQCAtqCYCgCCIMPl391kW1Ghoo8+pMXYJQ/eq0sevNfvWNM09ei7b+rRd99sMd4/M0uxUVFau21bu/ItWLlCC1auaNWxEWFhqqytbTH20mef6KXPPgl4/JzlS/0e5y6Bvgb74uan/9um8xqamvS3F2foby/O2Oux4U6nEmJi2nQdAF1Tc2O98lYulM/r8ZuLS+2lpF6DLEgFAAAAAADQ8UzTlDt3vd94jCtd4VFxFiRCR4uKT1F4dJwaa6tajLvzNigrbpxFqQAA6N5sVgcAgFDQnm3+JCkt0SXDMFqMRYaH6x9//LMkaeb8Oe1av7USY2OVFB+v/NKSvR/cQ6S7kvy+9gC6L5+nWXmrFsnT1OA3FxWfrPQB+/FvHgAAAAAA9Bg17kI11df4jbuyB1qQBp3BMAwlZvl3GaspKwj43AMAgL2jMxUABMHgnN7tOv+yk07RqYcerjnLl6rQXaa0RJcOHbO/slNSNXvxQr3z7VcdlDSwuKhoXXHK6TrigHFy2B16d+43nXq9rmRo775WRwDQQUzTp/y136uxttJvLiwqVplDx8mwca8BAAAAAADoGUzTlHv7Or/xyPhktn/rYeKSs1S6ZZXfDYTuvI1KHzDaolQAAHRfFFMBQBAkxycoOyVVuSXFbTr/yyXfa2S/ATp87IFKjI2Vx+fVhtxcPf7e2y22/hvVb4COm3RQq9a856XnWn39hNhYXfu7M7WlsFC3PfOEnpk1c18fQqucdeQxyklL3+txyzdu0IcL5nZKhl8aM5DtvoCewDTEF8z/AAEAAElEQVRNFW1codpy/+/Ddme4sodNkN3htCA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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "# Visualize the radial network\n", - "from openfe.utils.atommapping_network_plotting import plot_atommapping_network\n", - "\n", - "plot_atommapping_network(radial_network)" + "from konnektor.visualization import draw_ligand_network\n", + "import matplotlib.pyplot as plt\n", + "fig, ax = plt.subplots(ncols=2, figsize=(20,10), dpi=120, squeeze=True)\n", + "draw_ligand_network(mst_network,node_size=4400, fontsize=26, title=\"Minimal Spanning Tree\",ax=ax[0]);\n", + "draw_ligand_network(lomap_network,node_size=4400, fontsize=26, title=\"LOMAP network\", ax=ax[1]);\n", + "fig.tight_layout()" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 90, "id": "711d73bc-519f-4b81-9daf-c7594c7bbf8f", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "execution_count": 90, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "from rdkit import Chem\n", "from rdkit.Chem import AllChem\n", @@ -974,10 +1308,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 91, "id": "ad80c243-82d7-4599-a4a6-5d651c662f24", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "molecule A smiles: CCC(=O)Nc1cc(NC(=O)c2c(Cl)cccc2Cl)ccn1\n", + "molecule B smiles: O=C(CO)Nc1cc(NC(=O)c2c(Cl)cccc2Cl)ccn1\n", + "map between molecule A and B: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7, 8: 8, 9: 9, 10: 10, 11: 11, 12: 12, 13: 13, 14: 14, 15: 15, 16: 16, 17: 17, 18: 18, 19: 19, 20: 20, 21: 21, 22: 22, 23: 23, 24: 24, 25: 25, 26: 26, 27: 27, 28: 28, 31: 29, 32: 30, 33: 31, 34: 32}\n" + ] + } + ], "source": [ "mst_edges = [edge for edge in mst_network.edges]\n", "\n", @@ -1061,7 +1405,7 @@ "id": "8e119e3e" }, "source": [ - "### Storing the ligand network\n", + "#### Storing the ligand network\n", "\n", "Created networks can easily be converted to (and also loaded from) a GraphML representation.\n", "\n", @@ -1070,7 +1414,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 92, "id": "0be4c1f4", "metadata": { "id": "0be4c1f4" @@ -1208,29 +1552,28 @@ "# Let's create the four ChemicalSystems\n", "from openfe import ChemicalSystem\n", "\n", - "ejm_31_complex = ChemicalSystem({'ligand': ejm_31_to_ejm_47.componentA,\n", - " 'solvent': solvent,\n", - " 'protein': protein,},\n", - " name=ejm_31_to_ejm_47.componentA.name)\n", - "ejm_31_solvent = ChemicalSystem({'ligand': ejm_31_to_ejm_47.componentA,\n", - " 'solvent': solvent,},\n", - " name=ejm_31_to_ejm_47.componentA.name)\n", - "\n", - "ejm_47_complex = ChemicalSystem({'ligand': ejm_31_to_ejm_47.componentB,\n", - " 'solvent': solvent,\n", - " 'protein': protein,},\n", - " name=ejm_31_to_ejm_47.componentB.name)\n", - "ejm_47_solvent = ChemicalSystem({'ligand': ejm_31_to_ejm_47.componentB,\n", - " 'solvent': solvent,},\n", - " name=ejm_31_to_ejm_47.componentB.name)" + "ejm_31_complex = ChemicalSystem(\n", + " {'ligand': ejm_31_to_ejm_47.componentA, 'solvent': solvent, 'protein': protein},\n", + " name=ejm_31_to_ejm_47.componentA.name,\n", + ")\n", + "ejm_31_solvent = ChemicalSystem(\n", + " {'ligand': ejm_31_to_ejm_47.componentA,'solvent': solvent},\n", + " name=ejm_31_to_ejm_47.componentA.name,\n", + ")\n", + "ejm_47_complex = ChemicalSystem(\n", + " {'ligand': ejm_31_to_ejm_47.componentB, 'solvent': solvent, 'protein': protein},\n", + " name=ejm_31_to_ejm_47.componentB.name,\n", + ")\n", + "ejm_47_solvent = ChemicalSystem(\n", + " {'ligand': ejm_31_to_ejm_47.componentB,'solvent': solvent},\n", + " name=ejm_31_to_ejm_47.componentB.name\n", + ")" ] }, { "cell_type": "markdown", "id": "1702be9c-a30d-43dc-a291-fefab56a4433", - "metadata": { - "jp-MarkdownHeadingCollapsed": true - }, + "metadata": {}, "source": [ "### 2.1.5 Defining the RBFE simulation settings and protocol" ] @@ -1247,77 +1590,18 @@ "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", + "implemented in OpenFE. This uses OpenMM to run a relative\n", "ligand binding free energy calculation using a single topology approach.\n", "\n", - "To achieve this simulation, the following steps need to happen:\n", - "\n", - "1. Create OpenMM systems of both end states\n", - "\n", - "\n", - "2. Create a hybrid topology based on these defined end states\n", - "\n", - "\n", - "3. Set an appropriate Lambda schedule\n", - "\n", - "\n", - "4. Set a MultiState reporter to write out appropriate coordinates and energies\n", - "\n", - "\n", - "5. Create an OpenMM sampler (in this case we will be using a replica exchange sampler)\n", - "\n", - "\n", - "6. Carry out the necessary simulation steps (minimization, equilibration, and production)\n", - "\n", - "\n", "The `RelativeHybridTopologyProtocol` class in `openfe.protocols.openmm_rfe`\n", - "implements a means to achieve all the above with minimal intervention.\n", + "implements a means to run the simulations above with minimal intervention.\n", "\n", "Here we work through its usage for the `lig_ejm_31` -> `lig_ejm_47` binding free energy\n", "test case. As this involves both a relative binding free energy in solvent\n", "and complex phases, `RelativeHybridTopologyProtocol` will\n", "be used to build two separate `ProtocolDAG` (directed-acyclic-graph) classes, one for each phase.\n", "These `DAG`s (which contain the necessary individual simulations), are then executed to yield\n", - "the desired free energy results.\n", - "\n", - "**Note: the underlying components used for the creation of OpenMM hybrid\n", - "topologies and samplers is still in flux, originating mostly from Perses.\n", - "Please consider these to be in beta.**" - ] - }, - { - "cell_type": "markdown", - "id": "fdfc694f", - "metadata": { - "id": "fdfc694f" - }, - "source": [ - "### Defining the RBFE simulation settings\n", - "\n", - "There are various parameters which can be set to determine\n", - "how the RBFE simulation will take place. To allow for maximum user flexibility, these are defined as a series of settings objects which control the following:\n", - "\n", - "1. `protocol_repeats`: The number of completely independent repeats of the entire sampling process.\n", - "\n", - "2. `simulation_settings`: Parameters controling the simulation plan and the alchemical sampler, including the number of minimization steps, lengths of equilibration and production runs, the sampler method (e.g. Hamiltonian replica exchange, `repex`), and the time interval at which to perform an analysis of the free energies.\n", - "\n", - "3. `output_settings`: Simulation output control settings, including the frequency to write a checkpoint file, the selection string for which part of the system to write coordinates for, and the paths to the trajectory and output structure storage files.\n", - "\n", - "4. `alchemical_settings`: Parameters controlling the creation of the hybrid topology system. This includes various parameters ranging from softcore parameters, through to whether or not to apply an explicit charge correction for systems with net charge changes.\n", - "\n", - "5. `engine_settings`: Parameters determining how the OpenMM engine will execute the simulation. This controls the compute platform which will be used to carry out the simulation.\n", - "\n", - "6. `integrator_settings`: Parameters controlling the `LangevinSplittingDynamicsMove` integrator used for simulation.\n", - "\n", - "7. `lambda_settings`: Lambda protocol settings, including number of lambda windows and lambda functions.\n", - "\n", - "8. `forcefield_settings`: Parameters to set up the force field with OpenMM Force Fields, including the general force fields, the small molecule force field, the nonbonded method, and the nonbonded cutoff.\n", - "\n", - "9. `thermo_settings`: Settings for thermodynamic parameters, such as the temperature and the pressure of the system.\n", - "\n", - "10. `solvation_settings`: Settings for solvating the system, including the solvent model and the solvent padding.\n", - "\n", - "11. `partial_charge_settings`: Settings for assigning partial charges to small molecules, including the partial charge method (e.g. `am1bcc`) and the OpenFF toolkit backend (e.g. `ambertools` or `openeye`)." + "the desired free energy results." ] }, { @@ -1328,6 +1612,7 @@ "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", + "\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", @@ -1378,7 +1663,7 @@ "id": "ab0eaea9" }, "source": [ - "### Creating the RFE Protocol\n", + "#### Creating the RBFE Protocol\n", "\n", "With the Settings inspected and adjusted, we can provide these to the Protocol.\n", "This Protocol defines the procedure to estimate a free energy difference between two chemical systems,\n", @@ -1400,20 +1685,12 @@ ")" ] }, - { - "cell_type": "markdown", - "id": "075cad59-5b65-42cf-a900-1df5a2de67f1", - "metadata": {}, - "source": [ - "## 2.2: Running a Relative Ligand Binding Free Energy Calculation" - ] - }, { "cell_type": "markdown", "id": "06d9d8a4-d570-42ea-9936-222b5e1728b2", "metadata": {}, "source": [ - "## 3.0 Creating the Transformations\n", + "### 2.1.6 Creating the Transformations\n", "\n", "Once we have the ChemicalSystems and the Protocol, we can create the Transformation.\n", "\n", @@ -1450,14 +1727,6 @@ " )" ] }, - { - "cell_type": "markdown", - "id": "026ad9fc-635f-44d2-937c-bbc58edf64da", - "metadata": {}, - "source": [ - "## 3.1. Using the Python API" - ] - }, { "cell_type": "markdown", "id": "7fd71a0e-7bf6-4529-961b-be8dfa7bbbce", @@ -1517,69 +1786,32 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 93, "id": "981cde0c", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "981cde0c", - "outputId": "812389bc-3730-416b-8154-79e0e1fb4346", - "scrolled": true + "outputId": "812389bc-3730-416b-8154-79e0e1fb4346" }, "outputs": [ { - "name": "stderr", - "output_type": "stream", - "text": [ - "INFO:\tPreparing the hybrid topology simulation\n", - "INFO:\tParameterizing molecules\n", - "INFO:\tRequested to generate parameters for residue \n", - "INFO:\tRequested to generate parameters for residue \n", - "INFO:\tCreating hybrid system\n", - "INFO:\tSetting force field terms\n", - "INFO:\tAdding forces\n", - "INFO:\tHybrid system created\n", - "WARNING:\tWarning: The openmmtools.multistate API is experimental and may change in future releases\n", - "/Users/users_name/miniforge3/envs/openfe_env/lib/python3.12/site-packages/mdtraj/core/topology.py:84: UserWarning: atom_indices are not monotonically increasing\n", - " warnings.warn(\"atom_indices are not monotonically increasing\")\n", - "/Users/users_name/miniforge3/envs/openfe_env/lib/python3.12/site-packages/openfe/protocols/openmm_rfe/_rfe_utils/compute.py:56: UserWarning: Non-GPU platform selected: CPU, this may significantly impact simulation performance\n", - " warnings.warn(wmsg)\n", - "WARNING:\tNon-GPU platform selected: CPU, this may significantly impact simulation performance\n", - "INFO:\tCreating and setting up the sampler\n", - "WARNING:\tWarning: The openmmtools.multistate API is experimental and may change in future releases\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Please cite the following:\n", - "\n", - " Friedrichs MS, Eastman P, Vaidyanathan V, Houston M, LeGrand S, Beberg AL, Ensign DL, Bruns CM, and Pande VS. Accelerating molecular dynamic simulations on graphics processing unit. J. Comput. Chem. 30:864, 2009. DOI: 10.1002/jcc.21209\n", - " Eastman P and Pande VS. OpenMM: A hardware-independent framework for molecular simulations. Comput. Sci. Eng. 12:34, 2010. DOI: 10.1109/MCSE.2010.27\n", - " Eastman P and Pande VS. Efficient nonbonded interactions for molecular dynamics on a graphics processing unit. J. Comput. Chem. 31:1268, 2010. DOI: 10.1002/jcc.21413\n", - " Eastman P and Pande VS. Constant constraint matrix approximation: A robust, parallelizable constraint method for molecular simulations. J. Chem. Theor. Comput. 6:434, 2010. DOI: 10.1021/ct900463w\n", - " Chodera JD and Shirts MR. Replica exchange and expanded ensemble simulations as Gibbs multistate: Simple improvements for enhanced mixing. J. Chem. Phys., 135:194110, 2011. DOI:10.1063/1.3660669\n", - " \n" + "ename": "NameError", + "evalue": "name 'complex_dag' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[31m---------------------------------------------------------------------------\u001b[39m", + "\u001b[31mNameError\u001b[39m Traceback (most recent call last)", + "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[93]\u001b[39m\u001b[32m, line 2\u001b[39m\n\u001b[32m 1\u001b[39m \u001b[38;5;66;03m# complex dry-run\u001b[39;00m\n\u001b[32m----> \u001b[39m\u001b[32m2\u001b[39m complex_unit = \u001b[38;5;28mlist\u001b[39m(\u001b[43mcomplex_dag\u001b[49m.protocol_units)[\u001b[32m0\u001b[39m]\n\u001b[32m 3\u001b[39m complex_unit.run(dry=\u001b[38;5;28;01mTrue\u001b[39;00m, verbose=\u001b[38;5;28;01mTrue\u001b[39;00m);\n", + "\u001b[31mNameError\u001b[39m: name 'complex_dag' is not defined" ] - }, - { - "data": { - "text/plain": [ - "{'debug': {'sampler': }}" - ] - }, - "execution_count": 28, - "metadata": {}, - "output_type": "execute_result" } ], "source": [ "# complex dry-run\n", "complex_unit = list(complex_dag.protocol_units)[0]\n", - "\n", - "complex_unit.run(dry=True, verbose=True)" + "complex_unit.run(dry=True, verbose=True);" ] }, { @@ -1645,7 +1877,6 @@ "source": [ "# solvent dry-run\n", "solvent_unit = list(solvent_dag.protocol_units)[0]\n", - "\n", "solvent_unit.run(dry=True, verbose=True)" ] }, @@ -1654,7 +1885,7 @@ "id": "ceba2266-8ad5-4205-96df-4b6403fc3b50", "metadata": {}, "source": [ - "## 3.2. Using the CLI\n", + "#### Simulating Using the CLI\n", "\n", "Even when using the Python API to set up the RBFE calculations, you can dump all `Transformation`s to a JSON file and run the calculations using the `openfe quickrun` command. Here, we will show you how to save the `Transformation`s to the JSON file." ] @@ -1696,8 +1927,7 @@ "cell_type": "markdown", "id": "e07d1e29", "metadata": { - "id": "e07d1e29", - "jp-MarkdownHeadingCollapsed": true + "id": "e07d1e29" }, "source": [ "## 2.3: Gather (and other analysis)" @@ -1711,9 +1941,8 @@ }, "source": [ "Finally now that we've \"run\" our simulations, let's go ahead and gather the free energies for both phases. \n", - "First we will take a look at the way to do this using our python api, then we will show how to use our `openfe gather` command on pre-computed results.\n", - "\n", - "### 2.3.1 Analysis - Python API\n", + "With the CLI, we used `openfe gather` to do this. Here's how we can do the same thing, but with the flexibilty of Python:\n", + "### 2.3.1 Analysis\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." 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zp8Z?e$7$chTA{(Cwf%J%`%a_fHLG@&HPEFXsZcIZ-;TX{VnrRY`QC(bcNlm;2Y3p+ zgY`HDTF?FR4@q#Zh-sr6`836reFbbjW#}}c8vTeq^ZrR z_vx?0rXw>gf@u*|3^jw=Op^Vor|~wIjG3CN-RsWjCLvkz+hpui7=%5@(pRD R7v@2q`fR~_7i    -->\n", - " \n", - "\n", + "    \n", + " \n", "# Open Free Energy: An Open Source Ecosystem for Calculating Free Energies" ] }, @@ -95,7 +94,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 1, "id": "-jX9udRGehD3", "metadata": { "colab": { @@ -156,9 +155,7 @@ { "cell_type": "markdown", "id": "524015c7-6c42-4b84-98b9-361c17945fbe", - "metadata": { - "jp-MarkdownHeadingCollapsed": true - }, + "metadata": {}, "source": [ "# 1. Relative Binding Free Energies with the **openfe** CLI" ] @@ -219,40 +216,40 @@ "\n", "Using Options:\n", "\tMapper: \n", - "\tMapping Scorer: \n", - "\tNetwork Generation: \n", + "\tMapping Scorer: \n", + "\tNetwork Generation: \n", "\tPartial Charge Generation: am1bcc\n", "\n", "\tn_protocol_repeats=3 (3 simulation repeat(s) per transformation)\n", "\n", "Planning RBFE-Campaign:\n", "assigning ligand partial charges -- this may be slow\n", - "Generating charges: 100%|██████████████████████| 10/10 [00:00<00:00, 344.16it/s]\n", + "Generating charges: 100%|██████████████████████| 10/10 [00:00<00:00, 343.55it/s]\n", "\tDone\n", "\n", "Output:\n", "\tSaving to: /Users/atravitz/software/OpenFE_ExampleNotebooks/showcase/tyk2_campaign\n", "\t\t- tyk2_campaign.json\n", "\t\t- ligand_network.graphml\n", - "\t\t\t\t- rbfe_lig_jmc_23_solvent_lig_jmc_28_solvent.json\n", - "\t\t\t\t- rbfe_lig_jmc_27_solvent_lig_jmc_28_solvent.json\n", - "\t\t\t\t- rbfe_lig_ejm_31_complex_lig_ejm_46_complex.json\n", + "\t\t\t\t- rbfe_lig_ejm_31_complex_lig_ejm_48_complex.json\n", "\t\t\t\t- rbfe_lig_ejm_31_complex_lig_ejm_47_complex.json\n", + "\t\t\t\t- rbfe_lig_ejm_46_solvent_lig_jmc_28_solvent.json\n", "\t\t\t\t- rbfe_lig_jmc_23_complex_lig_jmc_28_complex.json\n", - "\t\t\t\t- rbfe_lig_ejm_31_solvent_lig_ejm_47_solvent.json\n", + "\t\t\t\t- rbfe_lig_ejm_31_solvent_lig_ejm_46_solvent.json\n", + "\t\t\t\t- rbfe_lig_ejm_31_solvent_lig_ejm_48_solvent.json\n", "\t\t\t\t- rbfe_lig_ejm_42_solvent_lig_ejm_43_solvent.json\n", - "\t\t\t\t- rbfe_lig_ejm_42_complex_lig_ejm_43_complex.json\n", - "\t\t\t\t- rbfe_lig_ejm_31_complex_lig_ejm_48_complex.json\n", "\t\t\t\t- rbfe_lig_ejm_42_solvent_lig_ejm_50_solvent.json\n", - "\t\t\t\t- rbfe_lig_ejm_46_solvent_lig_jmc_28_solvent.json\n", + "\t\t\t\t- rbfe_lig_ejm_31_complex_lig_ejm_46_complex.json\n", "\t\t\t\t- rbfe_lig_ejm_31_solvent_lig_ejm_50_solvent.json\n", + "\t\t\t\t- rbfe_lig_ejm_42_complex_lig_ejm_43_complex.json\n", "\t\t\t\t- rbfe_lig_ejm_31_complex_lig_ejm_50_complex.json\n", - "\t\t\t\t- rbfe_lig_ejm_31_solvent_lig_ejm_46_solvent.json\n", - "\t\t\t\t- rbfe_lig_jmc_27_complex_lig_jmc_28_complex.json\n", - "\t\t\t\t- rbfe_lig_ejm_46_complex_lig_jmc_28_complex.json\n", - "\t\t\t\t- rbfe_lig_ejm_31_solvent_lig_ejm_48_solvent.json\n", "\t\t\t\t- rbfe_lig_ejm_42_complex_lig_ejm_50_complex.json\n", - "\tDuration: 0:00:04.448693\n", + "\t\t\t\t- rbfe_lig_jmc_23_solvent_lig_jmc_28_solvent.json\n", + "\t\t\t\t- rbfe_lig_ejm_46_complex_lig_jmc_28_complex.json\n", + "\t\t\t\t- rbfe_lig_jmc_27_complex_lig_jmc_28_complex.json\n", + "\t\t\t\t- rbfe_lig_ejm_31_solvent_lig_ejm_47_solvent.json\n", + "\t\t\t\t- rbfe_lig_jmc_27_solvent_lig_jmc_28_solvent.json\n", + "\tDuration: 0:00:04.774242\n", "\n" ] } @@ -469,7 +466,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 9, "id": "b117bae2-6a68-4e67-8971-e44f4f862d10", "metadata": {}, "outputs": [ @@ -505,31 +502,7 @@ "id": "14ade1f0" }, "source": [ - "# 2. Now Let's Do It Again - In Python!" - ] - }, - { - "cell_type": "markdown", - "id": "0870f84e", - "metadata": { - "id": "0870f84e" - }, - "source": [ - "\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", - "| Visualize 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 |" + "# 2. Into the API" ] }, { @@ -543,9 +516,7 @@ { "cell_type": "markdown", "id": "4b57734f-dde7-4e5c-a61c-f3e9d275c5de", - "metadata": { - "jp-MarkdownHeadingCollapsed": true - }, + "metadata": {}, "source": [ "### 2.1.1: Loading Ligands and Defining Ligand Atom Mappings" ] @@ -583,7 +554,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 10, "id": "4096ce97", "metadata": { "id": "4096ce97" @@ -610,7 +581,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 11, "id": "b5e5b538-4847-42f5-b29e-6e1f25bbbeed", "metadata": {}, "outputs": [], @@ -639,7 +610,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 12, "id": "faacbebb", "metadata": { "colab": { @@ -675,7 +646,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 13, "id": "29b7c68a", "metadata": { "colab": { @@ -693,7 +664,7 @@ " SmallMoleculeComponent(name=lig_ejm_31))" ] }, - "execution_count": 8, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -733,7 +704,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 14, "id": "01384f2a-99ce-400d-a988-82fd393c4ee5", "metadata": {}, "outputs": [], @@ -755,7 +726,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 15, "id": "00fb84d6-9fa7-4114-96e5-c656ad6f3a3f", "metadata": {}, "outputs": [ @@ -795,10 +766,10 @@ "outputs": [ { "data": { - "application/3dmoljs_load.v0": "
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    \n", "
    \n", "" ] @@ -1119,10 +1090,10 @@ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 15, + "execution_count": 19, "metadata": {}, "output_type": "execute_result" } @@ -1166,10 +1137,14 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 20, "id": "5b89da93", "metadata": { + "collapsed": true, "id": "5b89da93", + "jupyter": { + "outputs_hidden": true + }, "scrolled": true }, "outputs": [ @@ -1239,13 +1214,13 @@ }, { "cell_type": "code", - "execution_count": 81, + "execution_count": 21, "id": "78a2ef98-1d8a-41f1-94bf-c743c0d9afd8", "metadata": {}, "outputs": [ { "data": { - "image/png": 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s/vPKi3px8ds6cf4ReuIPf5bD4RjUta+55DI9/vt7NG/qDC36cLkefv6/KqnYo6suvFgv/OV+xUZH9/tapx1zvP59211qaPLo0ZdfUHHFHl34uc/rod/8TvOmzdALf/q77Ha7nnz9FX28aYNOP+Z4/fv2uwY9af43V1+nhNg4XX/nbQddu6OkSPGxsTp85mG96klOl+ZMna6q+jrtLC3ZVzfFNn8ARpZhGEqbNEeO8MiAY/Wl29TRwqSjUGAYhuKSM1Uw7xQl5U6VYbP3ubalbo+KVy9SQ/kO+f2hO30SAIChMLhXqACGzB2P/1sbi3ZZHWNcuO2xf+nMo47R7AmTrI4CAAAAAAAwajR43AM+94hZs3XpF76s3eWl+vz3rlBzW6sk6Y5/3Kcn7/yzMpJTVF5dNaBrHzNnnn7yrSu1avNGXXLTdfuuLX0ybeqPN/5MP/7mlfrl3/7Ur+udfsxxuvD6H+6b+mQYhh7/3T06YcER+vftd+uGu+/Q84ve2rf+zh//ny466xyddvRxemv50gF9DZ877kRd8Lmzdf0fblNlbc1B1//yb3/Sv357p568889664OlKq2qVGJCgj537Alqbm3V93/7C3V2d/U6p66RxgUAI8sRFqH0yfO0Z9Py/Y6Yqtq+WnlzTpLdEWZJNvRms9uVnDtFCak5qivZopb64Fvhmn6f6ku3qqmmVCkFMxWbmD7oZmIAAEIRk6mAELB253bd+eRjVscYN3x+n779h9vV3dNjdRQAAAAAAIBRo8frHfC5Xzn9LEnSnx/7V69mpx6vV7c/+PdB5brsSxdIkn5y1+29ri1JT7/5mjbt3KEvnnJ6v6/34uK3e22fZ5qmnn37DUnS9pLdvRqpJOmZt16XJM2YOLAP7iW7XPrdtTdo0crlevL1l/t1zkcb1+vcH1ypkoo9OnfhqfrB176hi8/+gsLDwvXUG69qW9HugHMG8/0DgIGKcaYoMXtiQL2ns121uzdYkAgHEhYZrcypC5Qz61hFxMT3ua6ns12VWz/Sns0r1NXePIIJAQAYGUymAizW1d2tb//hdvn8fqujjCubinfrD08+pp9e8i2rowAAAAAAAIwK3kE048ycNFmS9NGm9QHH1mzdNKhGn/nTZ6q7p0efP/Fk6cTA42FhDiW7EuWKj5e7+eBv+K7fvi2gVtNQL0nauGN7wLHq+k+2z8tIST3E5J/4w/U3y+Fw6Ia77uj3OcfPP1z33fIbrd+xVT+649faVVaq1MQkfeu883XTFd/VKUcdoy9f8z35PrMNk9dHMxUAayTnTlO7p16drZ5e9ea6PYp2pSohNceaYOhTdEKy8uacpKbqEtWXbpPP2x10XbunTiVrlsiVWaCk3KlMGgMAjBk0UwEW+90Tj2pLabHVMcal3z3+qD5/zHFs9wcAAAAAANAPpmkO+Ny4mFhJUp07cKs5v98vd3PTgK/tik9QmMOh6y+94oDroqOi+9VM1bLfdCvpf41I+0+++uyxMPuhP24//7Qzdfoxx+tHt/96X1PWwTjj4nXfz25VZ1enLv/5Ters+mQ7v7KqSv3qvj8rJyNTZx53or582hl6+s3X9p3n9w/8+wcAg2HYbMqYMl8l65bI9Pl6HavdvUFR8YkKj4yxKB36YhiGnBkFikvJUn3pNnmqSiQF+7fElLuySM21e5ScP00JaXls/QcAGPVopgIsVFxVqbue+o/VMcYtn9+n6+69R+/cfS+/2AMAAAAAAByE3W4f8Lmt7W2SpBRXosqqKnsds9lscsUn9LuZaH8tba0yDJtmnnfGgPNZZdbkKZKkP938c/3p5p8HHM9ISVXF4hWSpGnnnKbmtlYtmDFLrvh4vfr+6n2NVJ+1fO1qnXnciZo1eWqvZqowB28HALBOeFSs0goPU/XOtb3qfp9XVdtXK3fWcTJsNovS4UDsjnClTThMzvR81RZtVHtTfdB1Pm+3anatl6eqRKmFsxSdkDTCSQEAGDq8egIs9Ot/PSTvfp/CwMj6cMsmvb5yuc466lirowAAAAAAAIQ0xyCaqTbt3KFZk6boiJmzA5qp5k2bOahGnzVbNuvUo4/V5PwC7SgZXRPgV2/eqOjIqKDHvnb2uWrv6NALi9+WJHX39EiSwsM+2UIpyekMel6S0yVJ6vl0/V6DaYYDgKEQn5qjNk+dWur29Kp3trhVX7ZNKfnTLUqG/oiIiVf2zGPU2lCluuLN6ulqD7quq61J5RuXKS4lSyn5MxQWEfzfOQAAQhnNVIBF1u/eqafffcfqGOOeIUM/f/gBnXH4UTxQAgAAAAAAOIC42NgBn/vMW6/rorPO0Q+/fqneXP6+Wto+mVQV5nDopiu+O6hcDz7zpE49+lj94fqb9e1f/p9qGnpPzIiKjNS0gglas3XzoO4zHF5askgvLVkU9NjXzj5XTa0t+sldt/eqr96yST1erw6fcZhOWHCE3l/10b5jmSmp+vrnvyBJWrZ2Va/zEgbx/QOAoWAYhtImHKbO5saARpzGPTsV40xRtDPFonToD8MwFJecqZjENLkrdqmhfKdMf/ChAS11FWptqFZS9iS5sifKZuM9GADA6EEzFWCRXzz8gNURIMmUqa2lJXpi8dv6+mmfszoOAAAAAABAyEpPSh7wuR9uWKvHXn5BXz/nPL378ON69f135fX5dNrRx6q5rU1V9XXy+/0Duvaytav02wf+qpuvuErL/v20Fn+0QmVVlYqJilJ2WrqOmj1XH23coK/fdO2A84eSmoZ63fPoP/WTb12px26/W+98+IF2lZUqNTFJZx5/omKjY/Ta0iVavHLFvnMMw1BaMg0KAKxnd4QpY8p8lW1YJsnsdaxqxxrlz10oe1i4NeHQbzabXUk5UxSfmqu6ki0B08b2Mv0+1ZdtU1NNmVIKZig2KUOGYYxwWgAADh3NVIAFlm5Yp7c/84kxWMswDP3mXw/pKyeerIhwXqQBAAAAAAAE44pPkN1ul88XfALFwdx0z++1q7xUX//8ebrknC/K3dykN5a9rzseuk+rnnpRpR73gLP97cnH9PGmDbr8Sxfo8JmH6fRjjldLW6uq6+v0n1de1POL3hrwtUPRPY8+rC27d+qSc76oBTNm6ZSjjlFHZ5e2FRfp2bdf12OvvNhrvWmaSktMsigtAPQWFZ+o5Nwpqi/b1qvu7e5U9c61ypx2BA03o0RYRJQyp8xXe3q+aos2qqutKei6nq52VW77WNEJyUotnKWImPgRTgoAwKGhmQqwwJ+eedLqCPgM0zS1p65WLyx7TxeefJrVcQAAAAAAAEKSzWZTamKSqupq99X21FQr6+Sje6279ve36trf3xpwvmmaevCZJ/Xgfs/GCrKyFRsdo51lJYPK9/GmDfp404Z+rY0ID1dLW2uv2tNvvqan33wt6PoV69cGfJ17BfszGAoHu+Zby5fqreVL+329tEFMFgOAoZaYM1ltnjp1NDf0qrc2VqupulTOjHxrgmFAohOSlDfnRDXVlKq+ZKt83u6g69qb6lWydomcGflKzpsqu4MPuAMAQpPN6gDAeFNaXaU3PvrQ6hjYjyHpwZdfsDoGAAAAAABASEtPSh7wtJAUV2LAuZEREfrV96+RJL2x9P3BxusXZ1y8EhMSVFVXNyL3CxWpNFMBCCGGYShjynzZHGEBx2qLN6mrvdmCVBgMwzDkTM9XwYJT5coslPr8fcGUp6pYxasWyVNVLNM0+1gHAIB1mEwFjLCHXnuZXwxDkClpxZZN2rB7lw6bMNHqOAAAAAAAACEpIzVNa7dtGdC5V5x/oc47+TStWLdWNY31SnUl6bh5C5SZmqZFK5fr5fcWDXHa3uJiYvTdCy7WiYcfKYfdoVffXzys9ws1mampVkcAgF7CIqKUPnGOKrd93Ktu+n2q2rZauXNOkM1mtygdBsruCFNq4SwlfLr1X7snePOyz9utmt0b5KkuUWrhLEUn0PQLAAgdNFMBI6iru1v/fO1lGfqkeQeh58FXXtBffvRjq2MAAAAAAACEpBkTJum1998d0LlLV32s6YWTdMKCI+SMi5fP51PRnnI99Px/9Y/PbP03Y8IknXHcCf265t3/eqjf90+IjdPVX7tE5VVVuu3Bv+nRYZpSfsEZZyk7PeOg6zbv2qk3PxiZaVySNGPC5BG7FwD0V1xyphLS89RUXdqr3tXerLriLUqbMMuiZBisiOg4Zc84Wq2N1aor3qSezvag67ramlW+8QPFJWcqJX+GwiKjRzgpAACBaKYCRtDzy95TYwujaUPZE++8pVuv+K4SYmKtjgIAAAAAABByZk+ZOuBzl61dpWVrVx103YyJk3T9pVf065qH0ky1p6Zaeacd3+/1A/WVM87WMXPmHXTd02+8OmLNVDFRUSrIyh6RewHAoUotmKmOpgZ1d7T2qnuqihTjSlFsYrpFyTBYhmEoLilDMa5UuSt2q6F8h0y/L+jalvpKtTbWKDF7ohKzJslmZyoZAMA6NFMBI+i/7w7vqHIMXkd3l177cLkuOuV0q6MAAAAAAACEnMMmD7yZqr+efvM1Pf3ma8N+n+Hyleu+b3WEXgzD0GFTpslms1kdBQCCstkdypiyQGXr35dp+nsdq96xVvnzFsoRHmlROgwFm82upJzJSkjNUV3JFjXX7Qm6zvT71FC2XU01ZUotmKnYpAwZhjHCaQEAkHj1BIyQts4OLV5z8E/ewXqvrfjA6ggAAAAAAAAhKcnpUkZKqtUxcAhM09Rhk6ZYHQMADigyNkHJ+dMD6j5vt6p2rJFpmhakwlBzREQpY8p85R52vCJjnX2u83Z1qHLbxyrftFydbU0jFxAAgE/RTAWMkMVrVqnb22N1DPTDm6tWqruH7xUAAAAAAEAwc6ZMszoCDtFITBQDgMFyZRYqxhXYsNvuqZO7YrcFiTBcouITlTv7BKVPnCN7WESf6zqa6lW6dolqdq+Xr6d7BBMCAMY7mqmAEfLah8utjoB+auvo0NIN66yOAQAAAAAAEJKOm7fA6gg4BIZh6Ni5fM8AhD7DMJQ+aV7Q5pq60i3qbPWMfCgMG8MwlJCep4L5p8iVNUE6wHZ+nqoSFa1+R+7KooCtIAEAGA40UwEjwOfz6VW2jhtVXvuQ7xcAAAAAAEAwpx19nNUR0E+GYWju1OlKSUy0OgoA9IsjPEIZk+cFHjBNVW5bJb/PO/KhMKzsjjClFsxUwdyFQSeT7eX39qi2aKNK1r6ndk/dCCYEAIxHNFMBI2BTSZEamtnTeTRZtGaV1REAAAAAAABCUlZaumZMmCTjABMkEBpM09Tpxx5vdQwAOCQxrlS5MicE1Hs621RbtNGCRBgJ4dFxypp+lLKmH6mwyJg+13W3N6t803JVbP1IPZ3tI5gQADCe0EwFjIC1O7ZbHQGHaFfFHrW080s4AAAAAABAMKcfe7xM07Q6Bvrh9KNppgIw+iTnT1NETEJAvammTM11FRYkwkgwDEOxienKn7dQyfnTZdjtfa5tbahS8ZpFqi/dysQyAMCQo5kKGAFrd9JMNdqYpqn1u3daHQMAAAAAACAksdVf6DMk5aRnaHJ+gdVRAOCQ2Wx2ZU6ZL8MW2ExTs2sdE4nGOJvNrqTsSSqcf6riU3P6XGf6/Woo36HiNYvVXFdBozcAYMjQTAWMgLU7dzD2fBSiCQ4AAAAAACC4wyZPVX5WNs+8Qpgp6bxTTud7BGDUCo+OU2rhrIC63+dV1Y7VMk2/BakwkhzhkcqYPE+5s49XZKyzz3Xerg5VbV+l8o0fqLO1aeQCAgDGLJqpgGHW4/VqY9FuuuFHobU7d1gdAQAAAAAAICQZhqFLz/0Sz7xCmM0w9PWzv2B1DAAYlIS0XMUmZQbUO5ob1VDOM/zxIiouUbmzT1D6pLmyh0X0ua6juUGl65aoetd6eXu6RjAhAGCsoZkKGGY79pSp29vTq5ablq62N9/T/dfftK92//U3qe3N95Sblj7SEftty7+e1JZ/PWl1jBGzfhcvxAAAAAAAAPpywefOVkR4uNUx0IdTjz5O2ekZVscAgEExDEPpk2bLEREVcKyhbLvamxosSAUrGIahhLRcFcw/RYlZE6UDTF5sqi5R8apFclfululnghkA4NA5rA4AjHV76mqtjjAmff20z+n+H9/c5/Ef/vkuPfTqSwH1yPBwXX/hxTr/xJOVm5amlvZ2vb9hnX77739qe3lpr7V76uqGPDcAAAAAAMBY4YyL1xdPOV1Pvv6K1VEQxKVf+JLVEQBgSNgd4cqYPF/lG5cFHKvasVr5c0+S3UFz73hhd4QppWCGEtLzVFu0SW3umqDr/L4e1RZtkqe6VKmFMxXjTB3hpONDj9eranej3C3N8vp88vp8MgxDDptdDrtdSQkJSnU65bDTlgBgdOGnFjDMqhv696mIX/zzAd319OOqrA/dBp6zb7rO6ggBXl6+VBt27wqor9mxPaAWHhaml2+/S8fMPEyrt2/T3154Vtkpqfri8Sfpc0ccpbNuuFartm/dt761o11tnR2KiQz8xAsAAAAAAACkS7/wZZqpQoxhGMpJz9AJ84+wOgoADJnohCQl5UxRQ3nvZ//erg7V7FqvjCkLZBxgUhHGnvCoWGXPOEqtjTWqLd6ono62oOu621u0Z9MKxSZlKKVghsIjY0Y46ejX1d2tTSVFWrNzh9bv3qmy2hpVNTSosqFeDc1NBz3fZhhKTnAqMylZGUlJyk/P0JyJkzV/0hRNzc2l0QpASOInEzDMqhv710xV3dio6sbGYU4zOMVVlVZHCPDK8mV67O03+rX2h1+6QMfMPEzPvb9E37jtlzJNU5L0zHuL9fQvb9N919+oI77zrX116ZNmuAlZ2cOSHQAAAAAAYLQ7bPJUHT17nlasX2N1FHzKNE1994KLZbPZrI4CAEMqKXey2jx16mzp/V5KS32lYpxlSkjPsygZrBSbmKYYZ4rclUVqKN8uv88bdF1rQ5XaGmvkyp6opOxJstHA06eW9na9s+Zjvb36Y63ZsV2bSork9fn2HTckmX2fHsBvmqr1uFXncWvd7p29jkWGh2t24UTNnzxVZxx+pE6cPUeR4RFD84UAwCDwrwQwzKoa6vu17v7rb9LXTz9T075xocpqqnsd+955X9ZlZ52rgowMNTY366XlS/Wrf/5DH973kCRp+qVfHXC+U+cfru+dd77mT5mquKhoVdTX6aUP3tfvn3hMTW2tvdZu+deTAffbu93ed+68XZUN9brp4ks1e8JEdXR1642PVujGv9+rprZWzZ4wST+79DIdNX2Wwhx2vbdurX58358DvtbhdPnZ50qSbvnHfb0apl5d8YGWbVyv42bN1vGHzdH769fuO1bVSDMVAAAAAADAgdx85VU69+orrY4B/W8q1dc+fQ4GAGOJYdiUOWW+Sta+G9AwU1O0UVHxiQqPjrMoHaxk2GxKzJ6o+NRs1ZduVVNNWdB1pulXY/kONdeUKSV/huJSspho9qnyulq99uFyvfLhB1qyfq16vJ/8HTNkyNyvdepQGqkOdl5nd7c+2r5VK7dt0d9eek7RERE6fcGROvuoY/S5w49SitM5wLsBwODQTAUMs/5OpurLH6++Vt8+5zxV1tfp4ddeUY+3R2cddawWTJmmMIdj3y8zA3HTxZfqZ9+4TA3NTXpj5QrVedyaWTBB13zlIp1+xFE6+ZrvqaW9vV/XOuuoY3XmkUfr9ZUr9NCrL+nI6TN1yelnKi8tXT9/+AG9+ru7tXzTBv37zVc1I79QZx99rAoyMwMmQR2qwyZM1Pdjz1dkWLgqG+r13vq1QbdKLMzMUm5aunaUl6k0SAPX2x+v1HGzZuvE2XN7NVP1d5tGAAAAAACA8Wr+9Jk687gT9fqy96yOMu6ZpqmbLv+uwhw8+gcwNoVFRitt4mxVbV/dq276farcvlq5s4+XzWa3KB2s5giPVPqkuUpIz1dt0UZ1triDrvN2d6pqx2p5qouVWjhLkbHOkQ0aInq8Xr20fJnuf+UFvb9hXdA1+zdSDYfPvk/Y3tWlFz54Xy988L5shqEzjzha3znnCzp13uFM3QQwonhFBQyzptZWGYYxoIahY2Yepm+fc552lJfppB9dtW9S1C/++aBeueNuZSanqLS6akC5Tpg9Vz/7xmX6cMsmfemWG3tNodo7beqWS76lG+//a7+ud/bRx+jsG6/Tso3rJX3yKbiXbrtTJ89boOdu/Z1+cM+deurdd/at/9u1N+jSz52ts446Rq+u+GBAX4Mkff+LX+n1v70+rx5541XdcN+96urp3leflJ0jSdpVsSfodfbWJ366bq/9p3MBAAAAAAAg0I2Xf1dvfvC+/IP40BwGx5A0feIknXPSKVZHAYBhFZ+SrTZ3rZpry3vVu9qaVF+6TakFMyxKhlARFedS7mHHq7luj+pKNsvX3RV0XUdzo0rXvaeEtDwl502TY5xsL7enrlYPv/Gq/vHqS6r1BG84CwV+09SrK5fr1ZXLVZCeoe+cc56+cfqZSoyLtzoagHGA9k1gmH12D+FDdfGpZ0iS/vBk7y33erxe/eLhBwaV66ovfFmSdPU9fwhoGHrs7Te0ftdOXXjyaf2+3n/fXbyvkUr6pIv8iUVvSZK2lBT3aqSSpMffeVOSdFjhxAHlL6mu0nV/vUezL7tYyeeergkXfVFfv/UXKq2p1hVnf0F/v/7GXusTYmIlSc19NEc1t7dJkpyfrttrMN8/AAAAAACA8WJSXr4uPPPzVscY10xJ/3fl95jaAGBcSJtwmMIiYwLq7opdanPXWpAIocYwDCWk5qhw3ilKzJ4kw+j738emmlIVr35HjRW7Zfr9I5hyZJXWVOvKu+7QlEu/qtv+8y/VhXAj1f5Kaqp104P3qeBrX9YN9/9V9U0eqyMBGOOYTAUMM69/4M04sydOkiQt37Qh4NhH27YMaou/I6dNV3dPj754/En64vGBx8PCHEpxupQYF6/GluaDXm/Nzm0BtaqGeknSup3bA45VfnosKyX1EJN/YtnG9b2atzq6uvT80iX6aNtmfXjfw7pg4am6++nHtbFod7+ut3dH7P3HlQ7mzxgAAAAAAGA8ufGy7+r1pe+pqbVlQFPaMThnHX+STlxwpNUxAGBE2OwOZU6Zr9INS6X9/s2p2rFG+XMXjpspQzgwmyNMKfnTlZCWq7rizWptrA66zu/zqq54k5qqS5RaOEsxroG9fxWK6ps8+t2Tj+nvL7/Q632v0fTb2t7fLbt6evTn5/+rh994Rdd/5SL94IvnKzYq2uJ0AMYimqmAYWbsa9M5dPExn3yqotYd2Bnu9/vV2Nw04GsnxicozOHQTy/51gHXxURF9auZqrmtLaC2d6pT0wGOhdmHdu/yiro6vfXRh/rqKafr2Jmz9zVT7Z2+Fb/f5Km94qJjgma12Qb+/QMAAAAAABhPUhITdduPfqzv3fpzq6OMK4ZhKCE2Trf96CcyDJ5lARg/IuNcSsmbprqSLb3qvp4uVe9cq6zpR/JzEfuER8Uqa/qRanPXqrZoo7o7gu9k0t3Rqj2bVyg2MV0pBTMVHhU4AW206Ozu0t3/fUp3/fcJtXV2WB1nSLV1dupX/35Yf33xOd1y8aW68uxzZR/i9xwBjG80UwHDLMwx8L9mLW3tkqRUl0sl1VW9jtlsNiXGJ6iyvm5A125qa5XNZlPO+ecMOF+o2jvaMyYycl9t555P9k6fmJUd9Jy99V17eu+xHmbnxyQAAAAAAEB/nbvwVL28ZJFeX/ae1VHGDdM0dduPfqyUxESrowDAiHNlTVSbp07tnt7vlbS5a+SpKpIrc4JFyRCqYlypyp+7UO6qYjWUbZPfF3yHktbGarW5a+XKmqCknMmyjbL3i1Zu3awr77pDO/aUD2LsQ+jaO6mqoblJ1/ztT3ri3bf14HU3aXJOrsXJAIwVbJ4ODDPHIH65Wr97pyTpmJmHBRw7Yur0QTVqfbxtixLj4jUtL3/A1whVC6YY/Cr+AADTy0lEQVROlyQVf6YBraiyQmU11Zqck6u8tPS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    " ] @@ -1265,7 +1240,7 @@ }, { "cell_type": "code", - "execution_count": 90, + "execution_count": 22, "id": "711d73bc-519f-4b81-9daf-c7594c7bbf8f", "metadata": {}, "outputs": [ @@ -1276,7 +1251,7 @@ "" ] }, - "execution_count": 90, + "execution_count": 22, "metadata": {}, "output_type": "execute_result" } @@ -1308,7 +1283,7 @@ }, { "cell_type": "code", - "execution_count": 91, + "execution_count": 23, "id": "ad80c243-82d7-4599-a4a6-5d651c662f24", "metadata": {}, "outputs": [ @@ -1316,9 +1291,9 @@ "name": "stdout", "output_type": "stream", "text": [ - "molecule A smiles: CCC(=O)Nc1cc(NC(=O)c2c(Cl)cccc2Cl)ccn1\n", - "molecule B smiles: O=C(CO)Nc1cc(NC(=O)c2c(Cl)cccc2Cl)ccn1\n", - "map between molecule A and B: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7, 8: 8, 9: 9, 10: 10, 11: 11, 12: 12, 13: 13, 14: 14, 15: 15, 16: 16, 17: 17, 18: 18, 19: 19, 20: 20, 21: 21, 22: 22, 23: 23, 24: 24, 25: 25, 26: 26, 27: 27, 28: 28, 31: 29, 32: 30, 33: 31, 34: 32}\n" + "molecule A smiles: O=C(Nc1ccnc(NC(=O)[C@H]2C[C@H]2Cl)c1)c1c(Cl)cccc1Cl\n", + "molecule B smiles: C[C@@H]1C[C@@H]1C(=O)Nc1cc(NC(=O)c2c(Cl)cccc2Cl)ccn1\n", + "map between molecule A and B: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7, 8: 8, 9: 9, 10: 10, 11: 11, 12: 12, 13: 13, 14: 14, 15: 15, 16: 16, 17: 17, 18: 18, 19: 19, 20: 20, 21: 21, 22: 22, 23: 23, 24: 24, 25: 25, 26: 26, 27: 27, 28: 28, 29: 29, 30: 30, 31: 34, 32: 35, 33: 36, 34: 37, 35: 38}\n" ] } ], @@ -1336,7 +1311,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 24, "id": "9f92262f", "metadata": { "colab": { @@ -1349,7 +1324,7 @@ "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ "" ] @@ -1365,7 +1340,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 25, "id": "66dd7d32", "metadata": { "colab": { @@ -1378,12 +1353,12 @@ "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ "" ] }, - "execution_count": 19, + "execution_count": 25, "metadata": {}, "output_type": "execute_result" } @@ -1414,7 +1389,7 @@ }, { "cell_type": "code", - "execution_count": 92, + "execution_count": 26, "id": "0be4c1f4", "metadata": { "id": "0be4c1f4" @@ -1429,9 +1404,7 @@ { "cell_type": "markdown", "id": "feb4d54a-01a8-4bbe-ac13-1a15cdb79254", - "metadata": { - "jp-MarkdownHeadingCollapsed": true - }, + "metadata": {}, "source": [ "### 2.1.4: Defining the Chemical Systems" ] @@ -1490,7 +1463,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 27, "id": "0b6c9ec3", "metadata": { "id": "0b6c9ec3" @@ -1511,7 +1484,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 28, "id": "8c6d6504", "metadata": { "colab": { @@ -1524,7 +1497,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "" ] @@ -1542,7 +1515,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 29, "id": "23b778d6", "metadata": { "id": "23b778d6" @@ -1621,7 +1594,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 30, "id": "309c059b-85c7-4911-a417-69889a474fe1", "metadata": {}, "outputs": [ @@ -1634,12 +1607,12 @@ " 'minimization_steps': 5000,\n", " 'n_replicas': 11,\n", " 'production_length': ,\n", - " 'real_time_analysis_interval': ,\n", - " 'real_time_analysis_minimum_time': ,\n", + " 'real_time_analysis_interval': ,\n", + " 'real_time_analysis_minimum_time': ,\n", " 'sampler_method': 'repex',\n", " 'sams_flatness_criteria': 'logZ-flatness',\n", " 'sams_gamma0': 1.0,\n", - " 'time_per_iteration': }\n" + " 'time_per_iteration': }\n" ] } ], @@ -1656,224 +1629,31 @@ "rbfe_settings.simulation_settings" ] }, - { - "cell_type": "markdown", - "id": "ab0eaea9", - "metadata": { - "id": "ab0eaea9" - }, - "source": [ - "#### Creating the RBFE Protocol\n", - "\n", - "With the Settings inspected and adjusted, we can provide these to the Protocol.\n", - "This Protocol defines the procedure to estimate a free energy difference between two chemical systems,\n", - "with the details of the two end states yet to be defined." - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "id": "d1829ab6", - "metadata": { - "id": "d1829ab6" - }, - "outputs": [], - "source": [ - "# Create RBFE Protocol class\n", - "rbfe_protocol = RelativeHybridTopologyProtocol(\n", - " settings=rbfe_settings\n", - ")" - ] - }, - { - "cell_type": "markdown", - "id": "06d9d8a4-d570-42ea-9936-222b5e1728b2", - "metadata": {}, - "source": [ - "### 2.1.6 Creating the Transformations\n", - "\n", - "Once we have the ChemicalSystems and the Protocol, we can create the Transformation.\n", - "\n", - "The `Transformation` requires as input:\n", - "\n", - "* the two `ChemicalSystem` objects defining either end of the alchemical transformation (`stateA` and `stateB`)\n", - "* a mapping between the two systems\n", - "* the protocol\n", - "* a name (optional)\n", - "\n", - "As previously detailed, we create two sets of transformations for the complex and the solvent legs of the thermodynamic cycle." - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "id": "853d6eef-e716-4284-b02f-8b06f2beb916", - "metadata": {}, - "outputs": [], - "source": [ - "transformation_complex = openfe.Transformation(\n", - " stateA=ejm_31_complex,\n", - " stateB=ejm_47_complex,\n", - " mapping=ejm_31_to_ejm_47,\n", - " protocol=rbfe_protocol, # use protocol created above\n", - " name=f\"{ejm_31_complex.name}_{ejm_47_complex.name}_complex\"\n", - " )\n", - "transformation_solvent = openfe.Transformation(\n", - " stateA=ejm_31_solvent,\n", - " stateB=ejm_47_solvent,\n", - " mapping=ejm_31_to_ejm_47,\n", - " protocol=rbfe_protocol, # use protocol created above\n", - " name=f\"{ejm_31_solvent.name}_{ejm_47_solvent.name}_solvent\"\n", - " )" - ] - }, - { - "cell_type": "markdown", - "id": "7fd71a0e-7bf6-4529-961b-be8dfa7bbbce", - "metadata": {}, - "source": [ - "### Creating the `ProtocolDAG`" - ] - }, - { - "cell_type": "markdown", - "id": "0e2e7d25-5bb6-4344-963d-8cf5298982b4", - "metadata": {}, - "source": [ - "With the `Transformation` defined, we can move onto creating the `ProtocolDAG`.\n", - "\n", - "The `Transformation.create()` method creates a directed-acyclic-graph (DAG) of computational tasks necessary for creating an estimate of the free energy difference between the two chemical systems." - ] - }, { "cell_type": "code", - "execution_count": 27, - "id": "77e72e9a-bac0-4059-b0bf-96c15c9b2696", - "metadata": {}, - "outputs": [], - "source": [ - "complex_dag = transformation_complex.create()\n", - "\n", - "solvent_dag = transformation_solvent.create()" - ] - }, - { - "cell_type": "markdown", - "id": "051fb438-1ab0-4d3f-9615-4b2caff9a9b2", - "metadata": {}, - "source": [ - "The individual pieces of computational work are called Units. In this particular Protocol, the Units defined are three independent repeats of the alchemical transformation.\n", - "\n", - "For other Protocols, for example non-equilibrium sampling routines, there might be dependencies between the tasks." - ] - }, - { - "cell_type": "markdown", - "id": "7f5c142d", - "metadata": { - "id": "7f5c142d" - }, - "source": [ - "### Simulating the RelativeLigandTransforms\n", - "\n", - "Individual Units can then be executed by calling the `.execute()` method.\n", - "\n", - "In the first instance we do a dry-run (which does everything but\n", - "starting the simulation) to make sure that the\n", - "hybrid OpenMM system can be constructed without any issues.\n", - "Note: A successful call to `.run()` will return an empty Dictionary." - ] - }, - { - "cell_type": "code", - "execution_count": 93, - "id": "981cde0c", + "execution_count": 31, + "id": "77accb06", "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, - "id": "981cde0c", - "outputId": "812389bc-3730-416b-8154-79e0e1fb4346" + "id": "77accb06", + "outputId": "e0b977c0-7e72-4a49-d3ea-eb0cdb85ed5d", + "scrolled": true }, "outputs": [ { "ename": "NameError", - "evalue": "name 'complex_dag' is not defined", + "evalue": "name 'solvent_dag' is not defined", "output_type": "error", "traceback": [ "\u001b[31m---------------------------------------------------------------------------\u001b[39m", "\u001b[31mNameError\u001b[39m Traceback (most recent call last)", - "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[93]\u001b[39m\u001b[32m, line 2\u001b[39m\n\u001b[32m 1\u001b[39m \u001b[38;5;66;03m# complex dry-run\u001b[39;00m\n\u001b[32m----> \u001b[39m\u001b[32m2\u001b[39m complex_unit = \u001b[38;5;28mlist\u001b[39m(\u001b[43mcomplex_dag\u001b[49m.protocol_units)[\u001b[32m0\u001b[39m]\n\u001b[32m 3\u001b[39m complex_unit.run(dry=\u001b[38;5;28;01mTrue\u001b[39;00m, verbose=\u001b[38;5;28;01mTrue\u001b[39;00m);\n", - "\u001b[31mNameError\u001b[39m: name 'complex_dag' is not defined" + "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[31]\u001b[39m\u001b[32m, line 2\u001b[39m\n\u001b[32m 1\u001b[39m \u001b[38;5;66;03m# solvent dry-run\u001b[39;00m\n\u001b[32m----> \u001b[39m\u001b[32m2\u001b[39m solvent_unit = \u001b[38;5;28mlist\u001b[39m(\u001b[43msolvent_dag\u001b[49m.protocol_units)[\u001b[32m0\u001b[39m]\n\u001b[32m 3\u001b[39m solvent_unit.run(dry=\u001b[38;5;28;01mTrue\u001b[39;00m, verbose=\u001b[38;5;28;01mTrue\u001b[39;00m)\n", + "\u001b[31mNameError\u001b[39m: name 'solvent_dag' is not defined" ] } ], - "source": [ - "# complex dry-run\n", - "complex_unit = list(complex_dag.protocol_units)[0]\n", - "complex_unit.run(dry=True, verbose=True);" - ] - }, - { - "cell_type": "code", - "execution_count": 29, - "id": "77accb06", - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "77accb06", - "outputId": "e0b977c0-7e72-4a49-d3ea-eb0cdb85ed5d", - "scrolled": true - }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "INFO:\tPreparing the hybrid topology simulation\n", - "INFO:\tParameterizing molecules\n", - "INFO:\tRequested to generate parameters for residue \n", - "INFO:\tRequested to generate parameters for residue \n", - "INFO:\tCreating hybrid system\n", - "INFO:\tSetting force field terms\n", - "INFO:\tAdding forces\n", - "INFO:\tHybrid system created\n", - "WARNING:\tWarning: The openmmtools.multistate API is experimental and may change in future releases\n", - "/Users/users_name/miniforge3/envs/openfe_env/lib/python3.12/site-packages/mdtraj/core/topology.py:84: UserWarning: atom_indices are not monotonically increasing\n", - " warnings.warn(\"atom_indices are not monotonically increasing\")\n", - "/Users/users_name/miniforge3/envs/openfe_env/lib/python3.12/site-packages/openfe/protocols/openmm_rfe/_rfe_utils/compute.py:56: UserWarning: Non-GPU platform selected: CPU, this may significantly impact simulation performance\n", - " warnings.warn(wmsg)\n", - "WARNING:\tNon-GPU platform selected: CPU, this may significantly impact simulation performance\n", - "INFO:\tCreating and setting up the sampler\n", - "WARNING:\tWarning: The openmmtools.multistate API is experimental and may change in future releases\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Please cite the following:\n", - "\n", - " Friedrichs MS, Eastman P, Vaidyanathan V, Houston M, LeGrand S, Beberg AL, Ensign DL, Bruns CM, and Pande VS. Accelerating molecular dynamic simulations on graphics processing unit. J. Comput. Chem. 30:864, 2009. DOI: 10.1002/jcc.21209\n", - " Eastman P and Pande VS. OpenMM: A hardware-independent framework for molecular simulations. Comput. Sci. Eng. 12:34, 2010. DOI: 10.1109/MCSE.2010.27\n", - " Eastman P and Pande VS. Efficient nonbonded interactions for molecular dynamics on a graphics processing unit. J. Comput. Chem. 31:1268, 2010. DOI: 10.1002/jcc.21413\n", - " Eastman P and Pande VS. Constant constraint matrix approximation: A robust, parallelizable constraint method for molecular simulations. J. Chem. Theor. Comput. 6:434, 2010. DOI: 10.1021/ct900463w\n", - " Chodera JD and Shirts MR. Replica exchange and expanded ensemble simulations as Gibbs multistate: Simple improvements for enhanced mixing. J. Chem. Phys., 135:194110, 2011. DOI:10.1063/1.3660669\n", - " \n" - ] - }, - { - "data": { - "text/plain": [ - "{'debug': {'sampler': }}" - ] - }, - "execution_count": 29, - "metadata": {}, - "output_type": "execute_result" - } - ], "source": [ "# solvent dry-run\n", "solvent_unit = list(solvent_dag.protocol_units)[0]\n", @@ -1883,7 +1663,9 @@ { "cell_type": "markdown", "id": "ceba2266-8ad5-4205-96df-4b6403fc3b50", - "metadata": {}, + "metadata": { + "jp-MarkdownHeadingCollapsed": true + }, "source": [ "#### Simulating Using the CLI\n", "\n", @@ -1900,7 +1682,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": null, "id": "12d35b4c-b737-4c3c-9fda-dc387aaa6915", "metadata": {}, "outputs": [], @@ -1923,70 +1705,6 @@ "You can run the RBFE simulations from the CLI by using the `openfe quickrun` command, as described in Section 5. below." ] }, - { - "cell_type": "markdown", - "id": "e07d1e29", - "metadata": { - "id": "e07d1e29" - }, - "source": [ - "## 2.3: Gather (and other 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", - "With the CLI, we used `openfe gather` to do this. Here's how we can do the same thing, but with the flexibilty of Python:\n", - "### 2.3.1 Analysis\n", - "\n", - "We can use the python API to gather the free energies for both phases by passing the results of executing the DAGs and calling the `gather()` methods of `RelativeLigandTransform`.\n", - "This takes a **list** of completed DAG results, catering for when simulations have been extended." - ] - }, - { - "cell_type": "markdown", - "id": "f69eb5cb-88ce-4e11-b05e-5591a2ed66c2", - "metadata": { - "colab": { - "base_uri": "https://localhost:8080/" - }, - "id": "fd1332db", - "outputId": "5b7d8379-d10d-4bf7-eb32-527998843e91", - "tags": [ - "nbval-skip" - ] - }, - "source": [ - "For production use we recommend saving the transformations to disk and using `openfe quickrun` to run them in an HPC environment, but for completeness, below is a python snippet that will run the transformations we defined earlier and then analyze the results. \n", - "\n", - "``` python\n", - "# Finally we can run the simulations\n", - "complex_path = pathlib.Path('./complex')\n", - "complex_path.mkdir()\n", - "\n", - "# First the complex transformation\n", - "complex_dag_results = execute_DAG(complex_dag, scratch_basedir=complex_path, shared_basedir=complex_path)\n", - "\n", - "# Next the solvent state transformation\n", - "solvent_path = pathlib.Path('./solvent')\n", - "solvent_path.mkdir()\n", - "\n", - "solvent_dag_results = execute_DAG(solvent_dag, scratch_basedir=solvent_path, shared_basedir=solvent_path)\n", - "\n", - "# Get the complex and solvent results\n", - "complex_results = rbfe_protocol.gather([complex_dag_results])\n", - "solvent_results = rbfe_protocol.gather([solvent_dag_results])\n", - "\n", - "print(f\"Complex dG: {complex_results.get_estimate()}, err {complex_results.get_uncertainty()}\")\n", - "print(f\"Solvent dG: {solvent_results.get_estimate()}, err {solvent_results.get_uncertainty()}\")\n", - "```" - ] - }, { "cell_type": "markdown", "id": "c3a26c6b-c958-4607-a191-f84c626d2db1",