{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "b473046a-3199-4b77-be18-bd3a74d2dfaa", "metadata": {}, "outputs": [], "source": [ "# Install SOFA + dependencies\n", "!pip install --quiet biosofa" ] }, { "cell_type": "markdown", "id": "df209001-70db-4c52-a47e-750b7f79c483", "metadata": { "tags": [] }, "source": [ "The input tcga_gyn_data.h5mu needs to be download from zenodo: https://zenodo.org/records/14761127" ] }, { "cell_type": "code", "execution_count": 2, "id": "86dd3368-ce4c-4564-b929-b17113420f83", "metadata": { "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/capraz/hubershare/anaconda3/envs/base_copy/lib/python3.8/site-packages/torch/onnx/_internal/_beartype.py:30: UserWarning: module 'beartype.roar' has no attribute 'BeartypeDecorHintPep585DeprecationWarning'\n", " warnings.warn(f\"{e}\")\n", "/home/capraz/hubershare/anaconda3/envs/base_copy/lib/python3.8/site-packages/umap/distances.py:1063: NumbaDeprecationWarning: The 'nopython' keyword argument was not supplied to the 'numba.jit' decorator. The implicit default value for this argument is currently False, but it will be changed to True in Numba 0.59.0. See https://numba.readthedocs.io/en/stable/reference/deprecation.html#deprecation-of-object-mode-fall-back-behaviour-when-using-jit for details.\n", " @numba.jit()\n", "/home/capraz/hubershare/anaconda3/envs/base_copy/lib/python3.8/site-packages/umap/distances.py:1071: NumbaDeprecationWarning: The 'nopython' keyword argument was not supplied to the 'numba.jit' decorator. The implicit default value for this argument is currently False, but it will be changed to True in Numba 0.59.0. See https://numba.readthedocs.io/en/stable/reference/deprecation.html#deprecation-of-object-mode-fall-back-behaviour-when-using-jit for details.\n", " @numba.jit()\n", "/home/capraz/hubershare/anaconda3/envs/base_copy/lib/python3.8/site-packages/umap/distances.py:1086: NumbaDeprecationWarning: The 'nopython' keyword argument was not supplied to the 'numba.jit' decorator. The implicit default value for this argument is currently False, but it will be changed to True in Numba 0.59.0. See https://numba.readthedocs.io/en/stable/reference/deprecation.html#deprecation-of-object-mode-fall-back-behaviour-when-using-jit for details.\n", " @numba.jit()\n", "/home/capraz/hubershare/anaconda3/envs/base_copy/lib/python3.8/site-packages/umap/umap_.py:660: NumbaDeprecationWarning: The 'nopython' keyword argument was not supplied to the 'numba.jit' decorator. The implicit default value for this argument is currently False, but it will be changed to True in Numba 0.59.0. See https://numba.readthedocs.io/en/stable/reference/deprecation.html#deprecation-of-object-mode-fall-back-behaviour-when-using-jit for details.\n", " @numba.jit()\n" ] } ], "source": [ "import sofa\n", "import torch\n", "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from sklearn.decomposition import PCA\n", "import seaborn as sns\n", "import matplotlib\n", "from sklearn.preprocessing import StandardScaler, OneHotEncoder\n", "from sklearn.linear_model import Lasso, LinearRegression\n", "from sklearn.model_selection import cross_val_predict, cross_val_score\n", "from sklearn.ensemble import RandomForestRegressor\n", "from sklearn.metrics import mean_squared_error, make_scorer\n", "from muon import MuData\n", "from sklearn.manifold import TSNE\n", "import matplotlib.patches as mpatches\n", "import scanpy as sc\n", "import anndata as ad\n", "from anndata import AnnData\n", "import pickle\n", "import muon\n", "from lifelines import CoxPHFitter, KaplanMeierFitter\n", "from lifelines.statistics import logrank_test\n", "import statsmodels\n", "from matplotlib import colors as mp_colors\n", "from muon import MuData\n", "import muon as mu\n", "from decimal import Decimal\n", "from seaborn import axes_style\n", "from mofapy2.run.entry_point import entry_point\n", "import seaborn.objects as so\n", "from mpl_toolkits.axes_grid1.axes_divider import make_axes_locatable, make_axes_area_auto_adjustable\n", "from matplotlib.ticker import FormatStrFormatter" ] }, { "cell_type": "markdown", "id": "3b3e9f4a-b57a-480f-9c9b-0cb9f61d9b59", "metadata": {}, "source": [ "# Analysis of TCGA data\n", "\n", "## Introduction\n", "\n", "In this notebook we will explore how `SOFA` can be used to analyze multi-omics data from the TCGA [[1]](#1). \n", "Here we give a brief introduction what the SOFA model does and what it can be used for. For a more \n", "detailed description please refer to our preprint: https://doi.org/10.1101/2024.10.10.617527 \n", "\n", "\n", "### The SOFA model\n", "Given a set of real-valued data\n", "matrices containing multi-omic measurements from overlapping samples (also called views),\n", "along with sample-level guiding variables that capture additional properties such as batches\n", "or mutational profiles, SOFA extracts an interpretable lower-dimensional data representation,\n", "consisting of a shared factor matrix and modality-specific loading matrices. The goal of these \n", "factors is to explain the major axes of variation in the data. SOFA explicitly assigns a subset of factors \n", "to explain both the multi-omics data and the guiding\n", "variables (guided factors), while preserving another subset of factors exclusively\n", "for explaining the multi-omics data (unguided factors). Importantly, this feature allows the\n", "analyst to discern variation that is driven by known sources from novel, unexplained sources\n", "of variability.\n", "\n", "#### Interpretation of the factors (Z)\n", "Analogous to the interpretation of factors in PCA, SOFA factors ordinate samples along a\n", "zero-centered axis, where samples with opposing signs exhibit contrasting phenotypes along\n", "the inferred axis of variation, and the absolute value of the factor indicates the strength of the\n", "phenotype. Importantly, SOFA partitions the factors of the low-rank decomposition into\n", "guided and unguided factors: the guided factors are linked to specific guiding variables,\n", "while the unguided factors capture global, yet unexplained, sources of variability in the data. \n", "The factor values can be used in downstream analysis tasks related to the samples, such as clustering \n", "or survival analysis. The factor values are called Z in SOFA.\n", "\n", "#### Interpretation of the loading weights (W)\n", "SOFA’s loading weights indicate the importance of each feature for its respective factor,\n", "thereby enabling the interpretation of SOFA factors. Loading weights close to zero indicate\n", "that a feature has little to no importance for the respective factor, while large magnitudes\n", "suggest strong relevance. The sign of the loading weight aligns with its corresponding factor,\n", "meaning that positive loading weights indicate higher feature levels in samples with positive\n", "factor values, and negative loading weights indicate higher feature levels in samples with\n", "negative factor values. The top loading weights can be simply inspected or used in downstream analysis such as gene set \n", "enrichment analysis. The factor values are called W in SOFA.\n", "\n", "#### Supported data\n", "SOFA expects a set of matrices containing omics measurements with matching and aligned samples and different features. \n", "Currently SOFA only supports Gaussian likelihoods, for the multi-omics data. \n", "Data should therefore be appropriately normalized according to\n", "its omics modality. Additionally, data should be centered and scaled.\n", "\n", "\n", "For the guiding variables SOFA supports Gaussian, Bernoulli and Categorical likelihoods. Guiding variables\n", "can therefore be continuous, binary or categorical. Guiding variables should be vectors with matching samples with \n", "the multi-omics data.\n", "\n", "In SOFA the multi-omics data is denoted as X and the guiding variables as Y.\n", "\n", "\n", "### The TCGA data set\n", "The pan-gynecologic cancer multi-omic data set of the cancer genome atlas (TCGA) project[[1]](#1), consists of measurements from the transcriptome (mRNA), proteome, methylome, and miRNA of 2599 samples from five different cancers. Additionally, the study includes data about mutations, metadata, and clinical endpoints progression free interval (PFI) and overall survival (OS). We used SOFA to infer 12 latent factors and guided the first 5 factors with the 5 cancer type labels form gynecologic cancers. We hypothesized that the remaining unguided factors will capture cancer type independent variation.\n", "\n", "\n", "### References\n", "[1] \n", "Cancer Genome Atlas Research Network et al. The Cancer Genome Atlas Pan-Cancer analysis project. Nat. Genet. 45, 1113–1120 (2013)." ] }, { "cell_type": "markdown", "id": "b9563068-eb16-4145-8e6f-0819f125d791", "metadata": {}, "source": [ "## Read data and set hyperparameters" ] }, { "cell_type": "code", "execution_count": 3, "id": "8918d464-2460-4d79-94dd-48916c6e92b4", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/html": [ "
MuData object with n_obs × n_vars = 2599 × 8926\n",
       "  obs:\t'admin.disease_code', 'Unnamed: 0', 'type', 'age_at_initial_pathologic_diagnosis', 'gender', 'race', 'ajcc_pathologic_tumor_stage', 'clinical_stage', 'histological_type', 'histological_grade', 'initial_pathologic_dx_year', 'menopause_status', 'birth_days_to', 'vital_status', 'tumor_status', 'last_contact_days_to', 'death_days_to', 'cause_of_death', 'new_tumor_event_type', 'new_tumor_event_site', 'new_tumor_event_site_other', 'new_tumor_event_dx_days_to', 'treatment_outcome_first_course', 'margin_status', 'residual_tumor', 'OS', 'OS.time', 'DSS', 'DSS.time', 'DFI', 'DFI.time', 'PFI', 'PFI.time', 'Redaction'\n",
       "  10 modalities\n",
       "    RNA:\t2599 x 4436\n",
       "      uns:\t'llh', 'log1p'\n",
       "      obsm:\t'mask'\n",
       "    Protein:\t2599 x 183\n",
       "      uns:\t'llh'\n",
       "      obsm:\t'mask'\n",
       "    Methylation:\t2599 x 3436\n",
       "      uns:\t'llh', 'log1p'\n",
       "      obsm:\t'mask'\n",
       "    miRNA:\t2599 x 680\n",
       "      uns:\t'llh', 'log1p'\n",
       "      obsm:\t'mask'\n",
       "    Mutations:\t2599 x 186\n",
       "      uns:\t'llh'\n",
       "      obsm:\t'mask'\n",
       "    brca:\t2599 x 1\n",
       "      uns:\t'llh', 'scaling_factor'\n",
       "      obsm:\t'mask'\n",
       "    cesc:\t2599 x 1\n",
       "      uns:\t'llh', 'scaling_factor'\n",
       "      obsm:\t'mask'\n",
       "    ov:\t2599 x 1\n",
       "      uns:\t'llh', 'scaling_factor'\n",
       "      obsm:\t'mask'\n",
       "    ucec:\t2599 x 1\n",
       "      uns:\t'llh', 'scaling_factor'\n",
       "      obsm:\t'mask'\n",
       "    ucs:\t2599 x 1\n",
       "      uns:\t'llh', 'scaling_factor'\n",
       "      obsm:\t'mask'
" ], "text/plain": [ "MuData object with n_obs × n_vars = 2599 × 8926\n", " obs:\t'admin.disease_code', 'Unnamed: 0', 'type', 'age_at_initial_pathologic_diagnosis', 'gender', 'race', 'ajcc_pathologic_tumor_stage', 'clinical_stage', 'histological_type', 'histological_grade', 'initial_pathologic_dx_year', 'menopause_status', 'birth_days_to', 'vital_status', 'tumor_status', 'last_contact_days_to', 'death_days_to', 'cause_of_death', 'new_tumor_event_type', 'new_tumor_event_site', 'new_tumor_event_site_other', 'new_tumor_event_dx_days_to', 'treatment_outcome_first_course', 'margin_status', 'residual_tumor', 'OS', 'OS.time', 'DSS', 'DSS.time', 'DFI', 'DFI.time', 'PFI', 'PFI.time', 'Redaction'\n", " 10 modalities\n", " RNA:\t2599 x 4436\n", " uns:\t'llh', 'log1p'\n", " obsm:\t'mask'\n", " Protein:\t2599 x 183\n", " uns:\t'llh'\n", " obsm:\t'mask'\n", " Methylation:\t2599 x 3436\n", " uns:\t'llh', 'log1p'\n", " obsm:\t'mask'\n", " miRNA:\t2599 x 680\n", " uns:\t'llh', 'log1p'\n", " obsm:\t'mask'\n", " Mutations:\t2599 x 186\n", " uns:\t'llh'\n", " obsm:\t'mask'\n", " brca:\t2599 x 1\n", " uns:\t'llh', 'scaling_factor'\n", " obsm:\t'mask'\n", " cesc:\t2599 x 1\n", " uns:\t'llh', 'scaling_factor'\n", " obsm:\t'mask'\n", " ov:\t2599 x 1\n", " uns:\t'llh', 'scaling_factor'\n", " obsm:\t'mask'\n", " ucec:\t2599 x 1\n", " uns:\t'llh', 'scaling_factor'\n", " obsm:\t'mask'\n", " ucs:\t2599 x 1\n", " uns:\t'llh', 'scaling_factor'\n", " obsm:\t'mask'" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# First we read the preprocessed data as a single MuData object\n", "mdata = mu.read(\"data/tcga/tcga_gyn_data.h5mu\")\n", "mdata" ] }, { "cell_type": "code", "execution_count": 4, "id": "b430fadb-66cf-4d58-96ef-cfe0ad4fb100", "metadata": { "tags": [] }, "outputs": [], "source": [ "# We create the MuData object Xmdata, which contains the multi-omics data:\n", "Xmdata = MuData({\"RNA\":mdata[\"RNA\"], \"Protein\":mdata[\"Protein\"], \"Methylation\":mdata[\"Methylation\"], \"miRNA\":mdata[\"miRNA\"]})\n", "# We create the MuData objectYmdata, which contains the guiding variables:\n", "Ymdata = MuData({\"BRCA\":mdata[\"brca\"], \"CESC\": mdata[\"cesc\"], \"OV\": mdata[\"ov\"], \"UCEC\":mdata[\"ucec\"], \"UCS\":mdata[\"ucs\"]})" ] }, { "cell_type": "code", "execution_count": 5, "id": "15b70394-f7b6-4afe-ab8c-18300a5e9661", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "tensor([[1., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.],\n", " [0., 1., 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.],\n", " [0., 0., 1., 0., 0., 0., 0., 0., 0., 0., 0., 0.],\n", " [0., 0., 0., 1., 0., 0., 0., 0., 0., 0., 0., 0.],\n", " [0., 0., 0., 0., 1., 0., 0., 0., 0., 0., 0., 0.]], dtype=torch.float64)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# We set the number of factors to infer\n", "num_factors = 12\n", "# Use obs as metadata of the cell lines\n", "metadata = mdata.obs\n", "# In order to relate factors to guiding variables we need to provide a design matrix (guiding variables x number of factors) \n", "# indicating which factor is guided by which guiding variable.\n", "# Here we just indicate that the first 5 factors are each guided by a different guiding variable:\n", "design = np.zeros((len(Ymdata.mod), num_factors))\n", "for i in range(len(Ymdata.mod)):\n", " design[i,i] = 1\n", " \n", "# convert to torch tensor to make it usable by SOFA\n", "design = torch.tensor(design)\n", "design" ] }, { "cell_type": "markdown", "id": "722697d1-5b85-4aab-bdb2-d41b97e19359", "metadata": {}, "source": [ "## Fit the `SOFA` model" ] }, { "cell_type": "code", "execution_count": 23, "id": "502876e2-440a-4473-bfd0-54d3654419a4", "metadata": { "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Current Elbo 1.40E+07 | Delta: 11086: 100%|██████████| 6000/6000 [13:03<00:00, 7.66it/s] \n", "Current Elbo 1.39E+07 | Delta: 5385: 100%|██████████| 3000/3000 [12:36<00:00, 3.97it/s] \n", "Current Elbo 1.39E+07 | Delta: 13180: 100%|██████████| 6000/6000 [25:08<00:00, 3.98it/s] \n", "Current Elbo 1.38E+07 | Delta: 1659: 100%|██████████| 3000/3000 [12:33<00:00, 3.98it/s] \n", "Current Elbo 1.39E+07 | Delta: 5138: 100%|██████████| 6000/6000 [25:13<00:00, 3.97it/s] \n", "Current Elbo 1.38E+07 | Delta: -2798: 100%|██████████| 3000/3000 [12:33<00:00, 3.98it/s]\n", "Current Elbo 1.38E+07 | Delta: 17196: 100%|██████████| 6000/6000 [25:07<00:00, 3.98it/s] \n", "Current Elbo 1.38E+07 | Delta: -4738: 100%|██████████| 3000/3000 [12:35<00:00, 3.97it/s] \n" ] } ], "source": [ "model = sofa.SOFA(Xmdata = Xmdata, # the input multi-omics data \n", " num_factors=num_factors, # number of factors to infer\n", " Ymdata = Ymdata, # the input guiding variables\n", " design = design, # design matrix relating factors to guiding variables\n", " device='cuda', # set device to \"cuda\" to enable computation on the GPU, if you don't have a GPU available set it to \"cpu\"\n", " seed=42) # set seed to get the same results every time we run it\n", "# train SOFA with learning rate of 0.01 for 3000 steps\n", "model.fit(n_steps=6000, lr=0.01, predict=False)\n", "# decrease learning rate to 0.005 and continue training\n", "model.fit(n_steps=3000, lr=0.005)\n", "models.append(model)\n", " " ] }, { "cell_type": "code", "execution_count": null, "id": "d69f52bb-2fc5-4c84-853b-8b99969b7e93", "metadata": {}, "outputs": [], "source": [ "# if we would like to save the fitted model we can save it using:\n", "#sofa.tl.save_model(model,\"models/model_name\")" ] }, { "cell_type": "code", "execution_count": 6, "id": "15d96e01-4ad2-43fd-b72f-26524be550ee", "metadata": { "tags": [] }, "outputs": [], "source": [ "# load fitted model to exactly reproduce manuscript figures\n", "# to load the model use:\n", "model = sofa.tl.load_model(\"models/tcga_gyn_model\")" ] }, { "cell_type": "markdown", "id": "bd1038c0-22fa-4bc1-a753-fb012f0161da", "metadata": {}, "source": [ "## Downstream analysis\n", "\n", "\n", "### Convergence\n", "\n", "We will first assess whether the ELBO loss of SOFA has converged by plotting it over training steps" ] }, { "cell_type": "code", "execution_count": 10, "id": "8d3cf291-098d-4131-be6f-a03b7e2c7628", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'ELBO')" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.semilogy(model.history)\n", "plt.xlabel(\"Training steps\")\n", "plt.ylabel(\"ELBO\")" ] }, { "cell_type": "markdown", "id": "f9b6eb4b-278d-4882-9a9c-7fab6840a659", "metadata": {}, "source": [ "### Variance explained\n", "\n", "A good first step in a SOFA analysis is to plot how much variance is explained by each factor for each modality. This gives us an overview \n", "which factors are active across multiple modalities, capturing correlated variation across multiple measurements \n", "and which are private to a single modality, most probably capturing technical effects related to this modality." ] }, { "cell_type": "code", "execution_count": 11, "id": "5d4e77b0-be7c-46ad-90de-c38a53d907a5", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sofa.pl.plot_variance_explained(model)" ] }, { "cell_type": "code", "execution_count": 12, "id": "de8957aa-f4ac-46ad-8dce-c695ddc2b103", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# We can also plot how much variance of each view is explained\n", "sofa.pl.plot_variance_explained_view(model)" ] }, { "cell_type": "code", "execution_count": 13, "id": "044f0b8b-eeae-4930-9b56-18dd7e3047b5", "metadata": { "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/capraz/hubershare/SOFA/sofa/plots/plots.py:220: UserWarning: FixedFormatter should only be used together with FixedLocator\n", " ax.set_xticklabels(x_labels,rotation=90)\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkAAAAHbCAYAAAAj0yUrAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAAA12klEQVR4nO3de1hVZeL+/3sDApqK5gE1EbE0BdMMzNMHtVTMLJ3RkjJ1TNRxnD556DAexiwntaamyHOaijWJ1EctKzxQmVqSJoKVYzOeIYVMTbBUNHh+f/Bzf2NAk5K9Nj3v13Wt65r9rLXXvhea3LMOz3YZY4wAAAAs4uN0AAAAAE+jAAEAAOtQgAAAgHUoQAAAwDoUIAAAYB0KEAAAsA4FCAAAWMfP6QDeqLCwUEePHlW1atXkcrmcjgMAAK6AMUanT59WgwYN5ONz+XM8FKBSHD16VCEhIU7HAAAAv0BWVpYaNmx42W0oQKWoVq2apKIfYPXq1R1OAwAArkReXp5CQkLcv8cvhwJUiouXvapXr04BAgCggrmS21e4CRoAAFiHAgQAAKxDAQIAANahAAEAAOtQgAAAgHUoQAAAwDoUIAAAYB0KEAAAsA4FCAAAWIcCBAAArEMBAgAA1qEAAQAA61CAAACAdShAAADAOhQgAABgHT+nAwA/p/GE9xz77EPP9HbsswEA5YczQAAAwDoUIAAAYB0KEAAAsA4FCAAAWIcCBAAArEMBAgAA1qEAAQAA61CAAACAdShAAADAOhQgAABgHQoQAACwDgUIAABYhwIEAACsQwECAADWoQABAADrUIAAAIB1KEAAAMA6FCAAAGAdChAAALAOBQgAAFiHAgQAAKxDAQIAANahAAEAAOtQgAAAgHUoQAAAwDoUIAAAYB0KEAAAsA4FCAAAWIcCBAAArEMBAgAA1qEAAQAA61CAAACAdShAAADAOhQgAABgHQoQAACwDgUIAABYhwIEAACsQwECAADWoQABAADrUIAAAIB1KEAAAMA6FCAAAGAdChAAALAOBQgAAFjH8QI0b948hYWFKTAwUJGRkdqyZcslt121apV69OihOnXqqHr16urQoYPWr19fYruVK1cqPDxcAQEBCg8P1+rVq8vzEAAAQAXjaAFKSkrS2LFjNXnyZKWnpys6Olq9evVSZmZmqdtv3rxZPXr0UHJystLS0nTbbbfp7rvvVnp6unub1NRUxcbGavDgwdq1a5cGDx6sAQMGaNu2bZ46LAAA4OVcxhjj1Ie3a9dOt9xyi+bPn+8ea9GihX73u99p5syZV7SPiIgIxcbG6oknnpAkxcbGKi8vT2vXrnVvc8cdd6hmzZpKTEy8on3m5eUpKChIubm5ql69ehmOCOWh8YT3HPvsQ8/0duyzAQBlU5bf346dATp//rzS0tIUExNTbDwmJkZbt269on0UFhbq9OnTuvbaa91jqampJfbZs2fPy+4zPz9feXl5xRYAAPDb5VgBOn78uAoKChQcHFxsPDg4WDk5OVe0j3/84x/64YcfNGDAAPdYTk5Omfc5c+ZMBQUFuZeQkJAyHAkAAKhoHL8J2uVyFXttjCkxVprExEQ9+eSTSkpKUt26dX/VPidOnKjc3Fz3kpWVVYYjAAAAFY2fUx9cu3Zt+fr6ljgzc+zYsRJncP5bUlKS4uLi9Oabb6p79+7F1tWrV6/M+wwICFBAQEAZjwAAAFRUjp0B8vf3V2RkpFJSUoqNp6SkqGPHjpd8X2JiooYOHarly5erd++SN6h26NChxD43bNhw2X0CAAC7OHYGSJLGjx+vwYMHKyoqSh06dNDChQuVmZmpUaNGSSq6NHXkyBG9+uqrkorKz5AhQ/TSSy+pffv27jM9lStXVlBQkCRpzJgx6ty5s5599ln17dtXb7/9tt5//319/PHHzhwkAADwOo7eAxQbG6v4+HhNmzZNN998szZv3qzk5GSFhoZKkrKzs4vNCfTyyy/rxx9/1J///GfVr1/fvYwZM8a9TceOHbVixQotXbpUrVq1UkJCgpKSktSuXTuPHx8AAPBOjs4D5K2YB8i7MA8QAOBKVIh5gAAAAJxCAQIAANahAAEAAOtQgAAAgHUoQAAAwDoUIAAAYB0KEAAAsA4FCAAAWIcCBAAArEMBAgAA1qEAAQAA61CAAACAdShAAADAOhQgAABgHQoQAACwjp/TAWzUeMJ7jnzuoWd6O/K5AAB4G84AAQAA61CAAACAdShAAADAOhQgAABgHQoQAACwDgUIAABYhwIEAACsQwECAADWoQABAADrUIAAAIB1KEAAAMA6FCAAAGAdChAAALAOBQgAAFiHAgQAAKxDAQIAANahAAEAAOtQgAAAgHUoQAAAwDoUIAAAYB0KEAAAsA4FCAAAWIcCBAAArEMBAgAA1qEAAQAA61CAAACAdShAAADAOhQgAABgHQoQAACwDgUIAABYhwIEAACsQwECAADWoQABAADrUIAAAIB1KEAAAMA6FCAAAGAdChAAALAOBQgAAFiHAgQAAKxDAQIAANahAAEAAOtQgAAAgHUoQAAAwDoUIAAAYB0KEAAAsA4FCAAAWIcCBAAArEMBAgAA1qEAAQAA6zhegObNm6ewsDAFBgYqMjJSW7ZsueS22dnZGjhwoG688Ub5+Pho7NixJbZJSEiQy+UqsZw7d64cjwIAAFQkjhagpKQkjR07VpMnT1Z6erqio6PVq1cvZWZmlrp9fn6+6tSpo8mTJ6t169aX3G/16tWVnZ1dbAkMDCyvwwAAABWMowXohRdeUFxcnIYPH64WLVooPj5eISEhmj9/fqnbN27cWC+99JKGDBmioKCgS+7X5XKpXr16xRYAAICLHCtA58+fV1pammJiYoqNx8TEaOvWrb9q399//71CQ0PVsGFD3XXXXUpPT7/s9vn5+crLyyu2AACA3y7HCtDx48dVUFCg4ODgYuPBwcHKycn5xftt3ry5EhIStGbNGiUmJiowMFCdOnXS3r17L/memTNnKigoyL2EhIT84s8HAADez/GboF0uV7HXxpgSY2XRvn17DRo0SK1bt1Z0dLTeeOMNNWvWTLNnz77keyZOnKjc3Fz3kpWV9Ys/HwAAeD8/pz64du3a8vX1LXG259ixYyXOCv0aPj4+atu27WXPAAUEBCggIOCqfSYAAPBujp0B8vf3V2RkpFJSUoqNp6SkqGPHjlftc4wxysjIUP369a/aPgEAQMXm2BkgSRo/frwGDx6sqKgodejQQQsXLlRmZqZGjRolqejS1JEjR/Tqq6+635ORkSGp6Ebnb7/9VhkZGfL391d4eLgk6amnnlL79u3VtGlT5eXladasWcrIyNDcuXM9fnwAAMA7OVqAYmNjdeLECU2bNk3Z2dlq2bKlkpOTFRoaKqlo4sP/nhOoTZs27v+dlpam5cuXKzQ0VIcOHZIknTp1SiNHjlROTo6CgoLUpk0bbd68WbfeeqvHjgsAAHg3lzHGOB3C2+Tl5SkoKEi5ubmqXr36Vd9/4wnvXfV9XolDz/R25HN/Lad+XlLF/ZkBgI3K8vvb8afAAAAAPI0CBAAArEMBAgAA1qEAAQAA61CAAACAdShAAADAOo7OAwQAgA2YzsP7cAYIAABYhwIEAACsQwECAADWoQABAADrUIAAAIB1KEAAAMA6PAYP/AY59cgtj9sCqCg4AwQAAKxDAQIAANahAAEAAOtQgAAAgHUoQAAAwDoUIAAAYB0KEAAAsA4FCAAAWIcCBAAArEMBAgAA1qEAAQAA61CAAACAdShAAADAOhQgAABgHQoQAACwDgUIAABY5xcVoMLCwkuOZ2Zm/qpAAAAA5a1MBSgvL08DBgzQNddco+DgYE2dOlUFBQXu9d9++63CwsKuekgAAICrya8sG0+ZMkW7du3Sa6+9plOnTunpp59WWlqaVq1aJX9/f0mSMaZcggIAAFwtZToD9NZbb+nll1/WPffco+HDhystLU3Hjx/X3Xffrfz8fEmSy+Uql6AAAABXS5kK0PHjxxUaGup+XatWLaWkpOj06dO68847debMmaseEAAA4GorUwEKCQnRnj17io1Vq1ZNGzZs0NmzZ/X73//+qoYDAAAoD2UqQDExMVq6dGmJ8apVq2r9+vUKDAy8asEAAADKS5lugn7qqad09OjRUtdVq1ZN77//vt5+++2rEgwAAKC8lOkMUM2aNRUREVHqupycHE2cOFHDhw+/KsEAAADKS5kK0KlTp/TAAw+oTp06atCggWbNmqXCwkI98cQTatKkiT799FMtWbKkvLICAABcFWW6BDZp0iRt3rxZf/jDH7Ru3TqNGzdO69at07lz57R27Vp16dKlvHICAABcNWUqQO+9956WLl2q7t27a/To0brhhhvUrFkzxcfHl1M8AACAq69Ml8COHj2q8PBwSVKTJk0UGBjIPT8AAKDCKVMBKiwsVKVKldyvfX19dc0111z1UAAAAOWpTJfAjDEaOnSoAgICJEnnzp3TqFGjSpSgVatWXb2EAAAAV1mZCtAf/vCHYq8HDRp0VcMAAAB4QpkKUGmzQAMAAFQ0ZboHCAAA4LeAAgQAAKxDAQIAANahAAEAAOtQgAAAgHUoQAAAwDoUIAAAYB0KEAAAsA4FCAAAWIcCBAAArEMBAgAA1qEAAQAA61CAAACAdShAAADAOhQgAABgHQoQAACwDgUIAABYhwIEAACs43gBmjdvnsLCwhQYGKjIyEht2bLlkttmZ2dr4MCBuvHGG+Xj46OxY8eWut3KlSsVHh6ugIAAhYeHa/Xq1eWUHgAAVESOFqCkpCSNHTtWkydPVnp6uqKjo9WrVy9lZmaWun1+fr7q1KmjyZMnq3Xr1qVuk5qaqtjYWA0ePFi7du3S4MGDNWDAAG3btq08DwUAAFQgjhagF154QXFxcRo+fLhatGih+Ph4hYSEaP78+aVu37hxY7300ksaMmSIgoKCSt0mPj5ePXr00MSJE9W8eXNNnDhR3bp1U3x8fDkeCQAAqEgcK0Dnz59XWlqaYmJiio3HxMRo69atv3i/qampJfbZs2fPy+4zPz9feXl5xRYAAPDb5VgBOn78uAoKChQcHFxsPDg4WDk5Ob94vzk5OWXe58yZMxUUFOReQkJCfvHnAwAA7+f4TdAul6vYa2NMibHy3ufEiROVm5vrXrKysn7V5wMAAO/m59QH165dW76+viXOzBw7dqzEGZyyqFevXpn3GRAQoICAgF/8mQAAoGJx7AyQv7+/IiMjlZKSUmw8JSVFHTt2/MX77dChQ4l9btiw4VftEwAA/LY4dgZIksaPH6/BgwcrKipKHTp00MKFC5WZmalRo0ZJKro0deTIEb366qvu92RkZEiSvv/+e3377bfKyMiQv7+/wsPDJUljxoxR586d9eyzz6pv3756++239f777+vjjz/2+PEBAADv5GgBio2N1YkTJzRt2jRlZ2erZcuWSk5OVmhoqKSiiQ//e06gNm3auP93Wlqali9frtDQUB06dEiS1LFjR61YsUJ//etfNWXKFF1//fVKSkpSu3btPHZcAADAuzlagCRp9OjRGj16dKnrEhISSowZY352n/fcc4/uueeeXxsNAAD8Rjn+FBgAAICnUYAAAIB1HL8EBgAAnNF4wnuOffahZ3o79tkSZ4AAAICFKEAAAMA6FCAAAGAdChAAALAOBQgAAFiHp8AAWM/mJ2EAW3EGCAAAWIcCBAAArEMBAgAA1qEAAQAA61CAAACAdShAAADAOhQgAABgHQoQAACwDgUIAABYhwIEAACsQwECAADWoQABAADrUIAAAIB1KEAAAMA6FCAAAGAdChAAALAOBQgAAFiHAgQAAKxDAQIAANbxczoAAABXS+MJ7znyuYee6e3I5+KX4wwQAACwDgUIAABYh0tgAIAy41ITKjrOAAEAAOtQgAAAgHUoQAAAwDoUIAAAYB0KEAAAsA4FCAAAWIcCBAAArEMBAgAA1qEAAQAA6zATNACPYfZgAN6CM0AAAMA6FCAAAGAdChAAALAOBQgAAFiHAgQAAKzDU2AA4KWcempO4sk5/PZxBggAAFiHAgQAAKxDAQIAANahAAEAAOtQgAAAgHUoQAAAwDoUIAAAYB0KEAAAsA4TIQK/EJPUAUDFxRkgAABgHQoQAACwDgUIAABYhwIEAACsQwECAADWoQABAADrUIAAAIB1HC9A8+bNU1hYmAIDAxUZGaktW7ZcdvtNmzYpMjJSgYGBatKkiRYsWFBsfUJCglwuV4nl3Llz5XkYAACgAnG0ACUlJWns2LGaPHmy0tPTFR0drV69eikzM7PU7Q8ePKg777xT0dHRSk9P16RJk/Twww9r5cqVxbarXr26srOziy2BgYGeOCQAAFABODoT9AsvvKC4uDgNHz5ckhQfH6/169dr/vz5mjlzZontFyxYoEaNGik+Pl6S1KJFC+3YsUPPP/+8+vfv797O5XKpXr16HjkGAABQ8Th2Buj8+fNKS0tTTExMsfGYmBht3bq11PekpqaW2L5nz57asWOHLly44B77/vvvFRoaqoYNG+quu+5Senr6ZbPk5+crLy+v2AIAAH67HCtAx48fV0FBgYKDg4uNBwcHKycnp9T35OTklLr9jz/+qOPHj0uSmjdvroSEBK1Zs0aJiYkKDAxUp06dtHfv3ktmmTlzpoKCgtxLSEjIrzw6AADgzRy/CdrlchV7bYwpMfZz2/90vH379ho0aJBat26t6OhovfHGG2rWrJlmz559yX1OnDhRubm57iUrK+uXHg4AAKgAHLsHqHbt2vL19S1xtufYsWMlzvJcVK9evVK39/PzU61atUp9j4+Pj9q2bXvZM0ABAQEKCAgo4xEAAICKyrEzQP7+/oqMjFRKSkqx8ZSUFHXs2LHU93To0KHE9hs2bFBUVJQqVapU6nuMMcrIyFD9+vWvTnAAAFDhOXoJbPz48XrllVe0ZMkS7dmzR+PGjVNmZqZGjRolqejS1JAhQ9zbjxo1SocPH9b48eO1Z88eLVmyRIsXL9ajjz7q3uapp57S+vXrdeDAAWVkZCguLk4ZGRnufQIAADj6GHxsbKxOnDihadOmKTs7Wy1btlRycrJCQ0MlSdnZ2cXmBAoLC1NycrLGjRunuXPnqkGDBpo1a1axR+BPnTqlkSNHKicnR0FBQWrTpo02b96sW2+91ePHBwAAvJOjBUiSRo8erdGjR5e6LiEhocRYly5dtHPnzkvu78UXX9SLL754teIBAIDfIMefAgMAAPA0ChAAALAOBQgAAFiHAgQAAKxDAQIAANahAAEAAOtQgAAAgHUoQAAAwDoUIAAAYB0KEAAAsA4FCAAAWIcCBAAArEMBAgAA1qEAAQAA61CAAACAdShAAADAOhQgAABgHQoQAACwDgUIAABYhwIEAACsQwECAADWoQABAADrUIAAAIB1KEAAAMA6FCAAAGAdChAAALAOBQgAAFiHAgQAAKxDAQIAANahAAEAAOtQgAAAgHUoQAAAwDoUIAAAYB0KEAAAsA4FCAAAWIcCBAAArOPndAB4j8YT3nPssw8909uxzwYA2IczQAAAwDoUIAAAYB0KEAAAsA4FCAAAWIcCBAAArEMBAgAA1qEAAQAA61CAAACAdShAAADAOhQgAABgHQoQAACwDgUIAABYhwIEAACsQwECAADWoQABAADrUIAAAIB1KEAAAMA6FCAAAGAdChAAALAOBQgAAFiHAgQAAKxDAQIAANahAAEAAOtQgAAAgHUoQAAAwDoUIAAAYB0KEAAAsA4FCAAAWMfxAjRv3jyFhYUpMDBQkZGR2rJly2W337RpkyIjIxUYGKgmTZpowYIFJbZZuXKlwsPDFRAQoPDwcK1evbq84gMAgArI0QKUlJSksWPHavLkyUpPT1d0dLR69eqlzMzMUrc/ePCg7rzzTkVHRys9PV2TJk3Sww8/rJUrV7q3SU1NVWxsrAYPHqxdu3Zp8ODBGjBggLZt2+apwwIAAF7O0QL0wgsvKC4uTsOHD1eLFi0UHx+vkJAQzZ8/v9TtFyxYoEaNGik+Pl4tWrTQ8OHDNWzYMD3//PPubeLj49WjRw9NnDhRzZs318SJE9WtWzfFx8d76KgAAIC383Pqg8+fP6+0tDRNmDCh2HhMTIy2bt1a6ntSU1MVExNTbKxnz55avHixLly4oEqVKik1NVXjxo0rsc3lClB+fr7y8/Pdr3NzcyVJeXl5ZTmkK1aYf6Zc9vtzfu54nMolXT4buUry1j9LcpUdf8fKhlxlV1H/jv2afRpjfn5j45AjR44YSeaTTz4pNj59+nTTrFmzUt/TtGlTM3369GJjn3zyiZFkjh49aowxplKlSub1118vts3rr79u/P39L5ll6tSpRhILCwsLCwvLb2DJysr62R7i2Bmgi1wuV7HXxpgSYz+3/X+Pl3WfEydO1Pjx492vCwsLdfLkSdWqVeuy7/O0vLw8hYSEKCsrS9WrV3c6jpu35pK8Nxu5yoZcZeet2chVNuQqG2OMTp8+rQYNGvzsto4VoNq1a8vX11c5OTnFxo8dO6bg4OBS31OvXr1St/fz81OtWrUuu82l9ilJAQEBCggIKDZWo0aNKz0Uj6tevbpX/YW7yFtzSd6bjVxlQ66y89Zs5Cobcl25oKCgK9rOsZug/f39FRkZqZSUlGLjKSkp6tixY6nv6dChQ4ntN2zYoKioKFWqVOmy21xqnwAAwD6OXgIbP368Bg8erKioKHXo0EELFy5UZmamRo0aJano0tSRI0f06quvSpJGjRqlOXPmaPz48RoxYoRSU1O1ePFiJSYmuvc5ZswYde7cWc8++6z69u2rt99+W++//74+/vhjR44RAAB4H0cLUGxsrE6cOKFp06YpOztbLVu2VHJyskJDQyVJ2dnZxeYECgsLU3JyssaNG6e5c+eqQYMGmjVrlvr37+/epmPHjlqxYoX++te/asqUKbr++uuVlJSkdu3aefz4rraAgABNnTq1xOU6p3lrLsl7s5GrbMhVdt6ajVxlQ67y4zLmSp4VAwAA+O1w/KswAAAAPI0CBAAArEMBAgAA1qEAAQAA6zg+EzQAAE4oKCjQ8ePH5XK5VKtWLfn6+jodCR7EGaAK6ptvvtG0adMc+ezs7Gz985//VHJyss6fP19s3Q8//OBYrj179mjp0qX66quvJElfffWV/vSnP2nYsGH68MMPHcl0KbfffrsOHz7sdIxiMjIy9Oabb+rjjz++si8S9JC9e/fqgw8+0L59+5yO4tUKCgqKvd6+fbs+/fTTYl/07JTMzExt27ZNO3bs0PHjx52Oo9WrV6tTp06qUqWKGjRooPr166tKlSrq1KmT3nrrLafjlWrPnj1q0qSJI5+9a9cuPf3005o3b16JP7+8vDwNGzbMkVy/2s9+Wxi8UkZGhvHx8fH4527fvt3UqFHDVK9e3VSuXNk0bdrUfPnll+71OTk5juRau3at8ff3N9dee60JDAw0a9euNXXq1DHdu3c33bp1M35+fuaDDz7weK6333671MXX19fMmTPH/drT7r//fpOXl2eMMeb06dMmJibGuFwu4+/vb1wul4mKijLfffedx3PNnDnT/ed08uRJ061bN+NyuYzL5TI+Pj7mjjvucCRX1apVzbBhw0p8ebM3OHjwoLnllluMr6+vufPOO01ubq7p3r27++fWpEkT8+9//9uRbHPnzjWNGjUyPj4+xZZOnTqZHTt2OJJpwYIFxt/f34waNcqsXr3abN261XzyySdm9erVZtSoUSYgIMAsXLjQkWyX49S/+evXrzf+/v4mIiLCNGrUyNSuXdt8+OGH7vVO/Zt/NVCAvNSuXbsuuyQlJTnyl6579+5m2LBhpqCgwOTl5ZnRo0ebWrVqmZ07dxpjnPuPoUOHDmby5MnGGGMSExNNzZo1zaRJk9zrJ02aZHr06OHxXBd/cV/8ZVTa4sTPy8fHx3zzzTfGGGMeffRRExYWZtLS0owxxnzxxRemRYsWZty4cR7P1ahRI7Nr1y5jjDHDhw83bdq0MTt37jRnz541GRkZpn379iYuLs7juVwul4mIiDAul8s0b97cPP/88+6fn9P69+9vunTpYt555x0zYMAA06lTJ9O1a1fz9ddfm6NHj5qePXua3/3udx7P9dxzz5n69eub+Ph4s2DBAtOiRQszbdo0s3btWjN48GBTpUoV89lnn3k81/XXX29eeeWVS65fvHixadKkiQcTFRk3btxll0GDBjn2b+vFf0sLCwvN3//+d1O1alWzdu1aYwwFCOXgcr84L4478ZeuZs2aJf7f5LPPPmtq1qxptm/f7th/DNWrVzd79+41xhhTUFBg/Pz83L/QjSn6pR4cHOzxXHfccYfp3bt3iV+Wfn5+Zvfu3R7Pc5HL5XJnioiIMElJScXWv/fee6Zp06YezxUQEGAOHTpkjDGmcePGZtOmTcXW79ixw9SvX9/juS7+vDIyMsxDDz1krr32WuPv72/69etnkpOTTWFhocczXVSnTh2Tnp5ujDHm1KlTxuVymS1btrjXp6WlOfJ3v3HjxiY5Odn9+t///repVauWuXDhgjHGmIcfftiR/1MSGBhovvrqq0uu37NnjwkMDPRgoiI+Pj7mlltuMV27di11iYqKcuzf1n379hUbW758ubnmmmvMmjVrKnQB4h4gL1WrVi0tWrRIBw8eLLEcOHBA7777rmPZzp07V+z1448/rkmTJikmJkZbt251KNX/4+Pjo8DAQNWoUcM9Vq1aNeXm5no8y9q1a9WtWze1bdvW0T+z0rhcLklF95O1bNmy2LqIiAhlZWV5PFNoaKi+/PJLdz4/v+LPafj6+uqHH37weK6LWrdurdmzZys7O1sJCQnKzc3VXXfdpUaNGumJJ55wJNO5c+fc335drVo1+fr6qlq1au711atX15kzZzye69ixY2rRooX7ddOmTZWbm6tvv/1WkjRs2DClpqZ6PFdERIQWLlx4yfWLFi1SRESEBxMVadq0qcaNG6eNGzeWuixatMjjmaSir7w4depUsbH7779fixcv1n333afVq1c7kutq4CkwLxUZGamjR4+6vxftv506dcqRG1VbtmyprVu3qlWrVsXGH330URljdP/993s8kyQ1btxY+/bt0w033CBJSk1NVaNGjdzrs7KyVL9+fUeyjRs3TrfffrsGDhyod955Ry+++KIjOf7blClTVKVKFfn4+CgnJ0fh4eHudcePH1fVqlU9nmnEiBF67LHHdOONN+qhhx7So48+qtdee03XX3+9Dh48qHHjxikmJsbjuS6WxYv8/f11//336/7779ehQ4e0ePFiJSQkOPIAQEREhJYsWaK//e1vWrZsmWrVqqUVK1aodevWkqTExEQ1a9bM47maNWumlJQUjRgxQpK0ceNG+fv7q169epKkwMDAEj9XT/jHP/6h3r17a926dYqJiVFwcLBcLpdycnKUkpKiw4cPKzk52eO5IiMjlZaWpkGDBpW63uVyOfJv/s0336yNGzcqMjKy2HhsbKwKCwv1hz/8weOZrhqHz0DhElatWmVee+21S64/efKkSUhI8GCiIosWLTKDBg265Ppnn33WNG7c2IOJisyfP9+8++67l1w/adIkR+4d+akzZ86YP/7xj6Zp06bG19fX0UtgXbp0KXZ6/b/viZg2bZrp0qWLI9n+93//11SqVMk0b97cBAYGGh8fH+Pv7298fHxMVFSUyc7O9nimn14yvBSnLoOtW7fOBAYGGn9/f1O5cmWzefNm06xZM9O2bVvTvn174+vrW+ISpyckJSWZSpUqmQEDBpghQ4aYqlWrmgkTJrjXL1iwwHTo0MHjuYwpunH88ccfN507dzbNmjUzzZo1M507dzZ/+ctfzMGDBx3JlJ2d7b78601WrVplxo4de8n1y5cvN127dvVgoquHL0MFPGzNmjXauHGjJk6cqLp16zodp1QHDhyQv7+/GjZs6Mjn79mzR++++64OHDigwsJC1a9fX506dVL37t0dOWvw1FNP6bHHHlOVKlU8/tlX4uDBg9q5c6eioqIUGhqqb775RnPnztWZM2fUu3dv3XbbbY7kWrt2rf75z38qPz9fPXv2dJ8NkqQTJ05IKrrcDziBAgQAAKzDTdAAAPz/du3a5ZUzQpPr6qMAAQDwE956YYRcVxdPgQEArNGvX7/Lrs/NzXXkPjNyeR4FCABgjXfeeUc9evRQcHBwqev/+zvVPIVcnkcBqgCysrJ06NAhnTlzRnXq1FFERIQCAgIczXTo0CFt2bKlWK42bdqoQ4cOCgwMdCxXfn6+tm/fXiJXWFiYY5kuunDhgnJycty5rr32WqcjSfLeXEB5aNGihfr376+4uLhS12dkZDgyaSm5PI8C5KUOHz6sBQsWKDExUVlZWcWusfr7+ys6OlojR45U//795ePjuVu5li9frlmzZmn79u2qW7eurrvuOlWuXFknT57U/v37FRgYqAceeEB/+ctfLjmJY3nYunWrZs+erbfeekvnz59XjRo13Lny8/PVpEkTjRw5UqNGjSo2S255+/777/X6668rMTFR27dvL/bN3A0bNlRMTIxGjhyptm3beiyTN+cCyltkZKR27tx5yV/oAQEBxSZR9RRyeR6PwXuhMWPGaOnSpYqJiVGfPn106623FisaX375pbZs2aLExET5+flp6dKlHvlFdcstt8jHx0dDhw5Vnz59Svylz8/PV2pqqlasWKGVK1dq3rx5uvfee8s9V9++ffXZZ59p4MCB6tOnj6KioorN13LgwAH3z2vXrl169dVX1aNHj3LP9eKLL2r69Olq3LjxZf8cV69erfbt22v27Nlq2rSptbkAT8jPz1dBQYHXzelELs+jAHmhxx57TI8//rjq1Knzs9smJyfrzJkzuueee8o913vvvafevXtf0bbHjx/XwYMHPVLM5s6dqxEjRsjf3/9nt929e7eOHj3qkQJ077336oknntBNN9102e3y8/O1ePFi+fv7a/jw4dbmAgBPogABAADrMA8QfpHk5GStX7++xPj69eu1du1aBxIVefDBB/XBBx943bwUubm5OnnyZInxkydPKi8vz4FEpcvLy9Nbb72lPXv2OB0FAMoVBagC+L//+z8NGDBA7du31y233FJsccqECRNKffzRGKMJEyY4kKjIiRMn1Lt3bzVs2FCPPPKIMjIyHMvyU/fdd59WrFhRYvyNN97Qfffd50CiIgMGDNCcOXMkSWfPnlVUVJQGDBigVq1aaeXKlY7lAoDyRgHycrNmzdKDDz6ounXrKj09Xbfeeqtq1aqlAwcOqFevXo7l2rt3r8LDw0uMN2/eXPv27XMgUZE1a9YoJydHU6dOVVpamiIjIxUeHq4ZM2bo0KFDjuXatm1bqV9I2bVrV23bts2BREU2b96s6OhoSdLq1atljNGpU6c0a9YsPf30047lAoDyRgHycvPmzdPChQs1Z84c+fv76/HHH1dKSooefvhh5ebmOpYrKChIBw4cKDG+b98+XXPNNQ4k+n9q1KihkSNH6qOPPtLhw4f14IMP6rXXXtMNN9zgWKb8/Hz9+OOPJcYvXLigs2fPOpCoSG5urnven3Xr1ql///6qUqWKevfurb179zqWCwDKGwXIy2VmZqpjx46SpMqVK+v06dOSpMGDBysxMdGxXH369NHYsWO1f/9+99i+ffv0yCOPqE+fPo7l+qkLFy5ox44d2rZtmw4dOnTJmUw9oW3btlq4cGGJ8QULFigyMtKBREVCQkKUmpqqH374QevWrVNMTIwk6bvvvnN0QksAKG9MhOjl6tWrpxMnTig0NFShoaH69NNP1bp1ax08eNDRG32fe+453XHHHWrevLkaNmwoSfr6668VHR2t559/3rFckrRx40YtX75cK1euVEFBgfr166d33nlHt99+u2OZpk+fru7du2vXrl3q1q2bJOmDDz7QZ599pg0bNjiWa+zYsXrggQdUtWpVhYaGqmvXrpKKLo393GPyAFCR8Ri8lxs+fLhCQkI0depULViwQOPHj1enTp20Y8cO9evXT4sXL3YsmzFGKSkp2rVrlypXrqxWrVqpc+fOjuWRimYxPnHihHr27KkHHnhAd999t9ecycjIyNDf//73Yj+viRMnOj7J4I4dO5SVlaUePXqoatWqkormfKpRo4Y6derkaDYAKC8UIC9XWFiowsJC+fkVnax744039PHHH+uGG27QqFGjrmjyP085deqUatSo4WiGhQsX6t5771XNmjUdzQEA8G4UIPwizz77rBo3bqzY2FhJRY9Tr1y5UvXq1VNycrJat27tcMKiS3Iul0vXXXed01EkSfv379fSpUt14MABxcfHq27dulq3bp1CQkIUERHhSKZ77rlHUVFRJaYueO6557R9+3a9+eabjuQCgPLGTdBebunSpaX+EnrzzTe1bNkyBxIVefnllxUSEiJJSklJUUpKitauXatevXrpsccecyxXYWGhpk2bpqCgIIWGhqpRo0aqUaOG/va3v6mwsNCxXJs2bdJNN92kbdu2aeXKlfr+++8lSZ9//rmmTp3qaK7Svt7kjjvu0ObNmx1IBACeQQHycs8884xq165dYrxu3bqaMWOGA4mKZGdnuwvQu+++qwEDBigmJkaPP/64PvvsM8dyTZ48WXPmzNEzzzyj9PR07dy5UzNmzNDs2bM1ZcoUx3JNmDBBTz/9tFJSUopdtrztttuUmprqWK7vv/++1MuolSpV8qoZqgHgaqMAebnDhw8rLCysxHhoaKgyMzMdSFSkZs2aysrKklQ0f0z37t0lFd0YXdoM0Z6ybNkyvfLKK/rTn/6kVq1aqXXr1ho9erQWLVqkhIQEx3J98cUX+v3vf19ivE6dOjpx4oQDiYq0bNlSSUlJJcZXrFhR6kSXAPBbwWPwXq5u3br6/PPP1bhx42Lju3btUq1atZwJJalfv34aOHCgmjZtqhMnTrhnpc7IyHB0wsGTJ0+qefPmJcabN29e6ndxeUqNGjWUnZ1dosymp6c7eo/SlClT1L9/f+3fv989TcAHH3ygxMRE7v8B8JvGGSAvd9999+nhhx/Wxo0bVVBQoIKCAn344YcaM2aMo98h9eKLL+qhhx5SeHi4UlJS3I9PZ2dna/To0Y7lat26tfu7rX5qzpw5jt6YPXDgQP3lL39RTk6OXC6XCgsL9cknn+jRRx/VkCFDHMvVp08fvfXWW9q3b59Gjx6tRx55RF9//bXef/99/e53v3MsFwCUN54C83Lnz5/X4MGD9eabb7ofhS8sLNSQIUO0YMECr3oM3htcvKm3UaNG6tChg1wul7Zu3aqsrCwlJye7v/fK0y5cuKChQ4dqxYoVMsbIz89PBQUFGjhwoBISEuTr6+tILgCwFQXIixljlJmZqTp16ujIkSPKyMhQ5cqVddNNNyk0NNTpeHrttdf08ssv68CBA0pNTVVoaKji4+MVFhamvn37Opbr6NGjmjt3rr766isZYxQeHq7Ro0erQYMGjmW66MCBA9q5c6cKCwvVpk0bxydBBABbUYC8WGFhoQIDA7V7926v+0U5f/58PfHEExo7dqymT5+uL7/8Uk2aNFFCQoKWLVumjRs3Oh0RV8DHx0cul+uS6528oR0AyhP3AHkxHx8f903G3mb27NlatGiRJk+eXOzyTVRUlL744guPZinr03BHjhwppySXds899+iZZ54pMf7cc8/p3nvv9Xiei1avXq1Vq1a5l6SkJE2YMEH169cv9ctbAeA3w8Crvfvuu+Z//ud/zBdffOF0lGICAwPNoUOHjDHGVK1a1ezfv98YY8x//vMfExgY6NEsdevWNcOHDzfbtm275DanTp0yCxcuNBEREWbWrFkeTFekdu3a5vPPPy8x/vnnn5u6det6PM/Pef31102fPn2cjgEA5YbH4L3coEGDdObMGbVu3Vr+/v6qXLlysfVOPdodFhamjIyMEvcirV271uPzx+zZs0czZszQHXfcoUqVKikqKkoNGjRQYGCgvvvuO/3rX//S7t27FRUVpeeee879yL4nVbQJB9u1a6cRI0Y4HQMAyg0FyMvFx8c7HaFUjz32mP785z/r3LlzMsZo+/btSkxM1MyZM/XKK694NMu1116r559/Xk8//bSSk5O1ZcsWHTp0SGfPnlXt2rX1wAMPqGfPnmrZsqVHc/3UxQkHn3jiiWLj3jjh4NmzZzV79mw1bNjQ6SgAUG64CRq/2KJFi/T000+7Z4S+7rrr9OSTTyouLs7hZN5nzZo16t+/vwYOHFjqhINOzblTs2bNYjdBG2N0+vRpValSRf/85z/Vp08fR3IBQHmjAFUABQUFWr16tfbs2SOXy6UWLVqob9++7nmBnHb8+HEVFhaqbt26Tkfxau+9955mzJjhns6gVatWmjp1qrp06eJYpv/+Ql0fHx/VqVNH7dq1U82aNR1KBQDljwLk5b788kv17dtXOTk5uvHGGyVJ//nPf1SnTh2tWbNGN910kyO5Dh48qB9//LHE4/l79+5VpUqVSnx1BwAA3oTH4L3c8OHDFRERoa+//lo7d+7Uzp07lZWVpVatWmnkyJGO5Ro6dKi2bt1aYnzbtm0aOnSo5wPhilWEaQMAoLxRgLzcrl27NHPmzGKXI2rWrKnp06crIyPDsVzp6enq1KlTifH27ds7mstb+fj4yNfX95KLJ7Vt21YjRozQ9u3bL7lNbm6uFi1apJYtW2rVqlUeTAcAnuEdN5Hgkm688UZ98803ioiIKDZ+7NgxR7913eVy6fTp0yXGc3NzmT24FKtXry72+sKFC0pPT9eyZcv01FNPeTRLRZg2AADKG/cAeaGfzgvz8ccf6/HHH9eTTz6p9u3bS5I+/fRTTZs2Tc8884zuvPNORzLeddddqlKlihITE91nMAoKChQbG6sffvhBa9eudSRXRbN8+XIlJSXp7bff9vhnnzt3rtRpA9q0aeP4tAEAUN4oQF7ov7+f6eIf0cWxn7526mzLv/71L3Xu3Fk1atRwf8P6li1blJeXpw8//JBfnldo//79atWqlX744QenowCAVbgE5oUqwheJhoeH6/PPP9ecOXO0a9cuVa5cWUOGDNFDDz2ka6+91ul4FQITDgKAczgDBHgAEw4CgHehAHmhzMxMNWrU6Iq3P3LkiK677rpyTFTEW3NVBEw4CADehQLkhYKDg9WnTx+NGDFCt956a6nb5Obm6o033tBLL72kP/7xj/rf//1fa3MBAFBW3APkhbz1MWVvzeWtOGMGAN6LM0BezFsfU/bWXN6GM2YA4L0oQEA5OXnypGbMmKElS5b87Bmzv/71r9afMQMAT6IAAeWMM2YA4H0oQAAAwDp8GSoAALAOBQgAAFiHAgQAAKxDAQIAANahAAEAAOtQgAD8Jj355JO6+eabnY4BwEtRgABUOHfffbe6d+9e6rrU1FS5XC7dfvvt+uCDDzycDEBFQQECUOHExcXpww8/1OHDh0usW7JkiW6++WZ17txZtWrVciAdgIqAAgSgwrnrrrtUt25dJSQkFBs/c+aMkpKSFBcXV+olsKVLl6pFixYKDAxU8+bNNW/ePPe6/v37F/sutrFjx8rlcmn37t2SpB9//FHVqlXT+vXry+24AHgOBQhAhePn56chQ4YoISFBP53M/s0339T58+f1wAMPlHjPokWLNHnyZE2fPl179uzRjBkzNGXKFC1btkyS1LVrV3300Ufu7Tdt2qTatWtr06ZNkqTPPvtM586dU6dOncr34AB4BAUIQIU0bNgwHTp0qFhpWbJkifr166eaNWuW2P5vf/ub/vGPf6hfv34KCwtTv379NG7cOL388suSigrQ7t27dfz4cX333XfavXu3xo4d697/Rx99pMjISFWtWtUThwegnPk5HQAAfonmzZurY8eOWrJkiW677Tbt379fW7Zs0YYNG0ps++233yorK0txcXEaMWKEe/zHH39UUFCQJKlly5aqVauWNm3apEqVKql169bq06ePZs2aJamoAHXp0sUzBweg3FGAAFRYcXFxeuihhzR37lwtXbpUoaGh6tatW4ntCgsLJRVdBmvXrl2xdb6+vpIkl8ulzp0766OPPpK/v7+6du2qli1bqqCgQF988YW2bt2qsWPHlvsxAfAMLoEBqLAGDBggX19fLV++XMuWLdODDz4ol8tVYrvg4GBdd911OnDggG644YZiS1hYmHu7i/cBffTRR+ratatcLpeio6P1/PPP6+zZs9z/A/yGcAYIQIVVtWpVxcbGatKkScrNzdXQoUMvue2TTz6phx9+WNWrV1evXr2Un5+vHTt26LvvvtP48eMlFRWgMWPGyM/PT9HR0e6xRx55RLfccouqV6/uicMC4AGcAQJQocXFxem7775T9+7d1ahRo0tuN3z4cL3yyitKSEjQTTfdpC5duighIaHYGaCWLVuqdu3aat26tbvsdOnSRQUFBdz/A/zGuMxPnyEFAACwAGeAAACAdShAAADAOhQgAABgHQoQAACwDgUIAABYhwIEAACsQwECAADWoQABAADrUIAAAIB1KEAAAMA6FCAAAGCd/w8WwhEQ4SZDugAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# or how much variance is explained by each factor in total\n", "sofa.pl.plot_variance_explained_factor(model)" ] }, { "cell_type": "code", "execution_count": 39, "id": "1e7a207f-bc4f-4e37-9867-9ede04bfd971", "metadata": { "tags": [] }, "outputs": [], "source": [ "from sklearn.metrics.pairwise import cosine_similarity\n", "cos_sim_matrix = cosine_similarity(model.W[0])\n", "angle_matrix_rad = np.arccos(np.clip(cos_sim_matrix, -1.0, 1.0)) # in radians\n", "angle_matrix_deg = np.abs(np.degrees(angle_matrix_rad) )" ] }, { "cell_type": "code", "execution_count": 43, "id": "1600ef23-35c6-4703-94eb-db5998266834", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "flabels = [\"Factor 1 (brca)\",\"Factor 2 (cesc)\",\"Factor 3 (ov)\",\"Factor 4 (ucec)\",\"Factor 5 (ucs)\"]+[f'Factor {i}' for i in range(6,13)]\n", "matplotlib.rcdefaults() \n", "plt.rc('axes', axisbelow=True)\n", "font = {\n", " 'size' : 6}\n", "matplotlib.rc('font', **font)\n", "\n", "plt.figure(figsize=(3, 3))\n", "ax = sns.heatmap(\n", " angle_matrix_deg,\n", " cmap='RdBu',\n", " vmin=0, vmax=180,\n", " center=90,\n", " annot=False, fmt=\".1f\",\n", " xticklabels=[],\n", " yticklabels=flabels,\n", " square=True,\n", " cbar_kws={'label': 'Angle'}\n", ")\n", "\n", "# Add a marker at 90° on the colorbar\n", "cbar = ax.collections[0].colorbar\n", "cbar.set_ticks([0, 30,60, 90, 120,150, 180])\n", "cbar.set_ticklabels(['0°', '30°','60°', '90°', '120°','150°', '180°'])\n", "plt.tight_layout()\n", "plt.savefig(\"factor_angles_tcga.png\", dpi=400)" ] }, { "cell_type": "markdown", "id": "0f74608b-aa82-4950-b20d-9c0f7dd58d97", "metadata": {}, "source": [ "### Check factor guidance" ] }, { "cell_type": "code", "execution_count": 14, "id": "70dbe72b-dbab-4c65-beb5-06a3ed20b52c", "metadata": { "tags": [] }, "outputs": [], "source": [ "onc = OneHotEncoder()\n", "y = np.array(onc.fit_transform(mdata.obs[[\"admin.disease_code\"]]).todense())\n", "metadata_ = pd.concat((mdata.obs, pd.DataFrame(y, index=mdata.obs.index,columns=onc.categories_[0])), axis=1)\n", "metadata_[\"patientID\"] = metadata_.index\n" ] }, { "cell_type": "code", "execution_count": 15, "id": "8c09ee3b-87d3-4608-9633-a24add2e62f5", "metadata": { "tags": [] }, "outputs": [], "source": [ "indicator = pd.concat([\n", " metadata_.loc[:, ['brca']].rename(columns={'brca': 'binary'}).assign(binary=lambda df: df['binary'].astype(float)).assign(Factor=1),\n", " metadata_.loc[:, ['cesc']].rename(columns={'cesc': 'binary'}).assign(binary=lambda df: df['binary'].astype(float)).assign(Factor=2),\n", " metadata_.loc[:, ['ov']].rename(columns={'ov': 'binary'}).assign(binary=lambda df: df['binary'].astype(float)).assign(Factor=3),\n", " metadata_.loc[:, ['ucec']].rename(columns={'ucec': 'binary'}).assign(binary=lambda df: df['binary'].astype(float)).assign(Factor=4),\n", " metadata_.loc[:, ['ucs']].rename(columns={'ucs': 'binary'}).assign(binary=lambda df: df['binary'].astype(float)).assign(Factor=5),\n", "]\n", ").reset_index()" ] }, { "cell_type": "code", "execution_count": 16, "id": "a48b9824-f92e-4254-a452-aced1365b2bd", "metadata": { "tags": [] }, "outputs": [], "source": [ "factor_df = pd.DataFrame(model.Z, index=metadata_.index, columns=[i for i in range(1, 13)])\n", "factor_df[\"patientID\"] = metadata_.index\n", "\n", "guided_factor_df = (factor_df\n", " .reset_index()\n", " .melt('index', var_name='Factor', value_name='Value') \n", " .merge(indicator, on=['index', 'Factor'])\n", "\n", ")" ] }, { "cell_type": "code", "execution_count": 17, "id": "0e2968bc-a779-4ee0-87ff-55c5643b278d", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "(-4.4366262555122375, 4.0)" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "p1 = (\n", " so.Plot(guided_factor_df, x='Factor', y='Value', color='binary')\n", " .add(so.Dot(pointsize=0.5), so.Jitter(.3), legend=False)\n", " .scale(color=['#56b4e9', '#d55e00'])\n", " .theme(axes_style(\"white\"))\n", " # .layout(engine=\"constrained\")\n", ")\n", "# used to be B\n", "p1.on(ax).plot() #.show()\n", "ax.set_title('Guided factors')\n", "ax.set_ylabel('Factor value')\n", "ax.set_ylim(top=4)\n" ] }, { "cell_type": "markdown", "id": "453f6216-6990-4821-9dfc-2d83ef633a37", "metadata": {}, "source": [ "### Downstream analysis of the factor values\n", "\n", "The factor values represent the new coordinates in lower dimensional space of our samples and have dimensions samples x factors. \n", "The factor values called Z in SOFA.\n", "We can use the factor values for all kinds of downstream analyses on the sample level. Here we will cluster the unguided factors.\n", "\n", "We first retrieve the factor values:" ] }, { "cell_type": "code", "execution_count": 18, "id": "a7f76bcc-94ae-449e-8acb-6bc70f9f5bde", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
Factor_1 (brca)Factor_2 (cesc)Factor_3 (ov)Factor_4 (ucec)Factor_5 (ucs)Factor_6Factor_7Factor_8Factor_9Factor_10Factor_11Factor_12
TCGA-A1-A0SB-0.068559-0.9567590.3958760.353804-0.449537-0.244394-0.4896840.2340030.364860-0.349728-0.0212160.583005
TCGA-A1-A0SD-0.791113-0.1761940.1627730.0778820.0228510.0903260.1106780.0369410.281851-0.163649-0.0561300.102763
TCGA-A1-A0SE-0.649877-0.5160370.2410780.0197380.3552300.079890-0.0574550.1510670.365583-0.202970-0.6466310.212070
TCGA-A1-A0SF-0.436990-0.3976650.262103-0.1314750.4578870.3118610.1332250.4613490.154909-0.2153080.0806730.108758
TCGA-A1-A0SG-0.796272-0.2281610.087272-0.0053710.6162390.1220770.0412940.0884740.196174-0.137173-0.251898-0.354120
.......................................
TCGA-NF-A5CP0.3848710.1495920.1403780.200661-1.6165780.1664750.342098-0.2676120.1453940.2297090.012862-0.198812
TCGA-NG-A4VU0.511174-0.1935160.2999880.069122-2.975001-1.1609770.0024630.5825470.4032650.781878-0.013149-0.131417
TCGA-NG-A4VW0.6685180.1252760.1627400.090213-1.6219620.385436-0.5870950.1806780.3143750.189267-0.0818970.192156
TCGA-QM-A5NM1.0586890.0712310.241933-0.284919-1.5330580.279359-0.2793910.1745770.3586070.1903920.053573-0.531947
TCGA-QN-A5NN0.386474-0.2150880.212471-0.068811-1.736867-0.6747490.190650-0.2814250.3370990.2731900.074353-0.624181
\n", "

2599 rows × 12 columns

\n", "
" ], "text/plain": [ " Factor_1 (brca) Factor_2 (cesc) Factor_3 (ov) \\\n", "TCGA-A1-A0SB -0.068559 -0.956759 0.395876 \n", "TCGA-A1-A0SD -0.791113 -0.176194 0.162773 \n", "TCGA-A1-A0SE -0.649877 -0.516037 0.241078 \n", "TCGA-A1-A0SF -0.436990 -0.397665 0.262103 \n", "TCGA-A1-A0SG -0.796272 -0.228161 0.087272 \n", "... ... ... ... \n", "TCGA-NF-A5CP 0.384871 0.149592 0.140378 \n", "TCGA-NG-A4VU 0.511174 -0.193516 0.299988 \n", "TCGA-NG-A4VW 0.668518 0.125276 0.162740 \n", "TCGA-QM-A5NM 1.058689 0.071231 0.241933 \n", "TCGA-QN-A5NN 0.386474 -0.215088 0.212471 \n", "\n", " Factor_4 (ucec) Factor_5 (ucs) Factor_6 Factor_7 Factor_8 \\\n", "TCGA-A1-A0SB 0.353804 -0.449537 -0.244394 -0.489684 0.234003 \n", "TCGA-A1-A0SD 0.077882 0.022851 0.090326 0.110678 0.036941 \n", "TCGA-A1-A0SE 0.019738 0.355230 0.079890 -0.057455 0.151067 \n", "TCGA-A1-A0SF -0.131475 0.457887 0.311861 0.133225 0.461349 \n", "TCGA-A1-A0SG -0.005371 0.616239 0.122077 0.041294 0.088474 \n", "... ... ... ... ... ... \n", "TCGA-NF-A5CP 0.200661 -1.616578 0.166475 0.342098 -0.267612 \n", "TCGA-NG-A4VU 0.069122 -2.975001 -1.160977 0.002463 0.582547 \n", "TCGA-NG-A4VW 0.090213 -1.621962 0.385436 -0.587095 0.180678 \n", "TCGA-QM-A5NM -0.284919 -1.533058 0.279359 -0.279391 0.174577 \n", "TCGA-QN-A5NN -0.068811 -1.736867 -0.674749 0.190650 -0.281425 \n", "\n", " Factor_9 Factor_10 Factor_11 Factor_12 \n", "TCGA-A1-A0SB 0.364860 -0.349728 -0.021216 0.583005 \n", "TCGA-A1-A0SD 0.281851 -0.163649 -0.056130 0.102763 \n", "TCGA-A1-A0SE 0.365583 -0.202970 -0.646631 0.212070 \n", "TCGA-A1-A0SF 0.154909 -0.215308 0.080673 0.108758 \n", "TCGA-A1-A0SG 0.196174 -0.137173 -0.251898 -0.354120 \n", "... ... ... ... ... \n", "TCGA-NF-A5CP 0.145394 0.229709 0.012862 -0.198812 \n", "TCGA-NG-A4VU 0.403265 0.781878 -0.013149 -0.131417 \n", "TCGA-NG-A4VW 0.314375 0.189267 -0.081897 0.192156 \n", "TCGA-QM-A5NM 0.358607 0.190392 0.053573 -0.531947 \n", "TCGA-QN-A5NN 0.337099 0.273190 0.074353 -0.624181 \n", "\n", "[2599 rows x 12 columns]" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Z = sofa.tl.get_factors(model)\n", "Z" ] }, { "cell_type": "markdown", "id": "5289ca33-2dc8-4d9f-b573-33ff36f12a7e", "metadata": {}, "source": [ "We will plot a tSNE of all the factors and color them by cancer type and by Factor 10:" ] }, { "cell_type": "code", "execution_count": 19, "id": "c45cc809-3d7f-4fef-8e12-8e3dddb745c9", "metadata": { "tags": [] }, "outputs": [], "source": [ "tsne = TSNE()\n", "tsne_z = tsne.fit_transform(model.Z[:,5:])\n", "tsne_z_all = tsne.fit_transform(model.Z)\n", "metadata =mdata.obs" ] }, { "cell_type": "code", "execution_count": 20, "id": "fe8f4e3a-6032-4492-ab1e-5a0251659627", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig,ax = plt.subplots(ncols=2)\n", "\n", "include = metadata[\"admin.disease_code\"].astype(str) != \"nan\"\n", "tsne_z_ = tsne_z_all[include,:]\n", "cancer_types = metadata[\"admin.disease_code\"].loc[include]\n", "\n", "for ix, i in enumerate(np.unique(cancer_types.astype(str))):\n", " ax[0].scatter(tsne_z_[cancer_types==i,0],tsne_z_[cancer_types==i,1],s = 1,alpha=0.6, c=sns.color_palette(\"colorblind\", as_cmap=True)[ix], label=i)\n", "ax[0].set_aspect(\"equal\")\n", "ax[0].spines['top'].set_visible(False)\n", "ax[0].spines['right'].set_visible(False)\n", "ax[0].spines['left'].set_visible(False)\n", "ax[0].spines['bottom'].set_visible(False)\n", "ax[0].set_xlabel(\"tSNE 1\")\n", "ax[0].set_ylabel(\"tSNE 2\")\n", "ax[0].tick_params(\n", " axis='both', # changes apply to the x-axis\n", " which='both', # both major and minor ticks are affected\n", " bottom=False, # ticks along the bottom edge are off\n", " top=False, \n", " left=False,# ticks along the top edge are off\n", " labelbottom=False,\n", "labelleft=False,) # labels along the bottom edge are off\n", "\n", "\n", "divnorm=mp_colors.TwoSlopeNorm(vmin=-1, vcenter=0, vmax=1)\n", "plot = ax[1].scatter(tsne_z_all[:,0],tsne_z_all[:,1],s = 1,alpha=1, c=model.Z[:,9],cmap=\"RdBu\", norm=divnorm)\n", "ax[1].set_aspect(\"equal\")\n", "#plt.colorbar(plot) \n", "divider = make_axes_locatable(ax[1])\n", "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n", "plt.colorbar(plot, cax=cax, label=\"Factor 10\") \n", "ax[1].spines['top'].set_visible(False)\n", "ax[1].spines['right'].set_visible(False)\n", "ax[1].spines['left'].set_visible(False)\n", "ax[1].spines['bottom'].set_visible(False)\n", "ax[1].set_xlabel(\"tSNE 1\")\n", "ax[1].set_ylabel(\"tSNE 2\")\n", "ax[1].tick_params(\n", " axis='both', # changes apply to the x-axis\n", " which='both', # both major and minor ticks are affected\n", " bottom=False, # ticks along the bottom edge are off\n", " top=False, \n", " left=False,# ticks along the top edge are off\n", " labelbottom=False,\n", "labelleft=False,) # labels along the bottom edge are off\n", "\n" ] }, { "cell_type": "markdown", "id": "be245800-98dd-487e-9d12-a2a6434effaf", "metadata": {}, "source": [ "We will plot a tSNE of only the unguided factors and color them by cancer type and by Factor 10:" ] }, { "cell_type": "code", "execution_count": 21, "id": "7c8734aa-63a4-4a6a-b95d-696a15fbe7a8", "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlYAAAD1CAYAAACSsrt2AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAAEAAElEQVR4nOy9eXhc9X3v//qeZfaRRhrt1mp5l1csMGBs1kDY7CQkIUsT0jS5SSG0KaS/Nr23aZpu97bZGgJZmjSBJE1oQhObLWFHYMBg8ILlXZasdSyNpNHsM2f7/XGksWTJlg0GDJzX8/ixfebsI815z2d5f4RlWRYODg4ODg4ODg6vG+mtPgEHBwcHBwcHh3cKjrBycHBwcHBwcDhDOMLKwcHBwcHBweEM4QgrBwcHBwcHB4czhCOsHBwcHBwcHBzOEI6wcnBwcHBwcHA4QzjCysHBwcHBwcHhDOEIKwcHBwcHBweHM4QjrBwcHBwcHBwczhCOsHJwcHBwcHBwOEM4wsrBwcHBwcHB4QzhCCsHBwcHBwcHhzOEI6wcHBwcHBwc3hDa2tq4/vrrqampQQjB7373u1m3efrpp1m9ejUej4e5c+fy/e9//40/0TOII6wcHBwcHBwc3hBSqRQrVqzgu9/97imt39nZyTXXXMO6devYvn07f/M3f8Of/dmfcd99973BZ3rmEJZlWW/1STg4ODg4ODi8sxFC8Nvf/pb3ve99J1znr/7qr9i8eTN79+4tLPv85z/Pzp07ef7559+Es3z9KG/1CTg4ODg4ODi8tWSzWfL5/Cmta1kWQogpy9xuN263+3Wfx/PPP8+VV145ZdlVV13Fj3/8YzRNQ1XV132MNxpHWDk4ODg4OLyLyWazeIOloGdOaf1AIEAymZyy7O/+7u/46le/+rrPJRKJUFlZOWVZZWUluq4TjUaprq5+3cd4o3GElcNbQlvHMJvaI2xsqWK11k5i+yaCqzbiX7T+rT41BwcHh3cV+Xwe9Ayu5R8H2XXylY08yV2/oKenh6KiosLiMxGtmuD4aNhExdLxy89WHGHl8Iby3BP307PlN9St/SAXXnZ9Yfmm9ggP7xsEYEFqE8mdDwE4wsrBwcHhLUKoXsQswsqSZACKioqmCKszRVVVFZFIZMqywcFBFEUhHA6f8eO9EThdgQ6vibaOYW7f3E5bx/BJ1+vZ8htC3U/Rs+U3U5ZvbKni6kUVbGypQg03YpkmyT1P0vPdG0nta3sjT93BwcHBYQaEkBHSLH+E/IaewwUXXMCjjz46ZdkjjzxCa2vr26K+CpyIlcNpktrXRmL7Jraml/PwcD0A65tP/C2ibu0HGc4cZb5rjNS+tkJEan1zuLBd5MUujLEBzFwKLbKf/OAhqj72LSd65eDg4PAmIqsqQpklYiVOz0ggmUxy6NChwv87OzvZsWMHpaWl1NfX8+Uvf5m+vj7uuecewO4A/O53v8ttt93GZz/7WZ5//nl+/OMf88tf/vL0L+gtwolYOZwybR3DPPDrHzO47X4uzW8tRJxOxoWXXc+5y1ooGt1PYvsmwBZnPd+9kZ477ehUcNVG5OJqUN0YQiU6OMDeJ3/1ZlySg4ODg8M4s0arxv+cDtu2bWPVqlWsWrUKgNtuu41Vq1bxla98BYCBgQG6u7sL6zc1NfHQQw/x1FNPsXLlSv7hH/6B73znO9xwww1n7kLfYJyIlcMps6k9Qpe+ig+H4LpLP8I3FrWc0naHKy+hxx+lrvISqoDE9k2k9jyGpWvkjx7i6CVfZcvCv+HS/FZ2pkMM9R5Edq2h9Q29GgcHBweHyZyScDpNYXXJJZdwMrvMn/70p9OWXXzxxbzyyiundZyzCUdYOZyUTO8zxLbcSX5gkJuCIR5d8j6qW7+J/yTpv8mk9rXRs+U3/Le+isbkXC4E1HAjeXcJGSOJLzZIz5bf8IK+inolxeK1V7Nn/sdnjYQ5ODi8fbEsC8OyUKRjSRMzdhTz6GGksjq0wQFyu7fgWXUprnkr3sIzfXchKSpCOXkdk4X5Jp3N2xdHWDmclHTHZpKvPoYxksJb6ueK82r45y1LuHNLJ7esbZpWXzXZRmF9c5jE9k0sGXiYL2v3YyzMAC1ow10kNIt2dRHVAQ/zXWN8KvN7GpKHqThaxjc+ev3MJ+Pg4HDWM5N55PGvP7hvkGRepyHk5YKGUgDMgYOQTWL2pcnu3IqVSZI/tAOlfiGSy/Nmnf67GiFJpxCxciqIZsMRVg4nxde8gXykh6HOPg4JH7/YO5/H4kMokv3Buak9wg2Bw8w9+hSPyufyl+0hNNPi6Y4o39ywlNWrNhLb8nNkI4G646dERBQ13Ii75SrGXGs4J96B0p9hnthDYO4qgqs2vsVX7ODgcLpYuk6m8wDJHVsZe+phSq/9EOFrPjTjuqYFqbyOV5E4mswVlktldZj9BxBldbgvKEOUlCNpGYyRPigqR/Kd+dZ+h6lMdAWefKU3tivwnYAjrBxOird2HS+1LuG2/t0cjKbRDRO3AiuqgwA8vG+Q83K/oSL1IoN6D8PiEwD0jmXZ1B5h/Yb1jF34RbIv/IwiTyli50MEVlxD65/eRStw+GdPMDYYQc8ZDO7/PT2Lx7hw0Vt4wQ4ODqfNwD13EX/uCYSiIAlIvPjMCYWVLAnmlfoocitYloVmmKiyhCirRwrXIUkSRmIEtGOiyxjtR8gKwu17sy7pXYlQXUjqybsCTScVOCuOsHKYlU3tEaIpjaqgG7CIZ3XiOZ33L6umfvQVxGA/8fKFVDR9gHC7imZa1BZ7CnVS/x3YwH0V57LW2sNfVO+jetVGMr3PkO7YTNHC64Aq+l4+iJUatv2uLnNSgQ4Obxcsy0TrOQCAUFS8zQsJXXHdSbeZG/YTTeYQQmCaFpZkkcnmsLDI6RBQ3JBNgWWBqSOwMLUcsiOs3lBOpXj9dLsC3404wsphViYE0sTft23eTTSl0TWa4bz4ForHDnCw+BI+8eGP0HBcjRXAyuyr+Af+myfda/i3hk9z76JWhp/+SzJdf8DbCHM/8W9E5qTo31JK3doPvlWX6eDgcBpYho6ZSWAhKL94PYm97QSWn4t/7clFFUCRlUUf7iBdXIMQPkzTRAgQCFyyRc6ScGsZhOLGlCQsISHN4q/k8PqRJBnpDHcFvhtxhJXDrEw282zrGKY57Kc5bAstJfBBeqAgiCavC3ZXYP2zX6MmE0U3TTq4HAAh1aMfdSHm2iajF152vROpcnB4G2GM9mMKBRQXyrK1lFTVItcuxjJ0hDz10XL8rDdt5+MUpWN4R7tJFr8Xw7JI5zQCqoRLFghTtyNVsSFkScGqWuBEq94EJEWdXcBaxptzMm9jHGHlcFpsao+wtTuGW5H46h/2UR6o5paPfZMLJ4mpyZ2BC7ZvopQEEW8YbcE13LK2CYB8bxf6SIp8b9eMxzm+u9DBweHswhIC5PHWfEkmt/tF2PU8nnPWI4RAqpqHkUlgWoI0MllLpnjoAJ6KesR4Y5kqgyrpHEladMeyALQW5fFbOZBVLASSqSO5PG+bAbxvZ5xU4JnBEVYOp8XGliqe7ohyYChF92gav0uhNuRlfXOY1L422u6/m29FF7HLuxyAr413+c1dtRG32sKm9gg7+8fw9btptVyUhBtnPM6m9gj37RoodBfu7B/j7m093NRax63r5r5Zl+vg4HAClJIatNggVmIUvfNVzLEoKCoiNQrYvlQoLiTAL4NftkgaArVnD1LjcohHsXwhpOEuahU/KV8JAgsfSRACSyjkyubjkgxcLu9be7HvEhxhdWZwhJXDKdPWMcydWzop8ii01hYDUB5wF2qvEts3oRx8jHPkYXZ5lrGxpQp/c0th5t+mze08vG8Qw7S4sXcf84w4lcNdMx5rQsBFUxqb2iM83RFldyTB3dt6HGHl4HBWYCESQ2g72hAYSP4AsseLJSQy/UeJvXKEyisuBj2DFShFy2bxRPYhtVyEGapGd/mRcwkwwGVkWTWnGH2gE8swQJbJy17yqp+kYVI5izeWw5lBUmbvCnRSgbPjCCuHU2ZTe4THDkYRwE3n1vGNDVNH2gRXbUTvjdGTXcH/vmQB65vD3PHM4UKkaUKAbe+NscV7AfVuL60n8K1a3xzmmxuWFtKBjSXewn4cHBzOAiwLIcuoyy4k3XEYt2sYIQR6PM6Or/0HRiZDz0/uYcXXv4bSsxc1OYoorUGes5CxZIas5SNIFi8a+IrRh3pJPfRjADzv+SNyoQoEYJzezF+H18GpGIQKxyB0Vhxh5XDKbGypojeWYSiZozeWoa1jeEr9k3/Req5etJ6rJ21z97aeQqRp21/MZX1zeDzy5eZRLmWB2gQnqKeaXAi/vjnMippiNrVHph3XwcHhzUfIKlJZA5Keo7hpJflXHsWKHUVtXIpQ7IezEGD5SnGvvghz9ChSqBLLspAsgxKPREIqxZvJIYD0nlfIDI+h+r1IlkWx30M8qxMOuJxo1ZuEkwo8MzjCyuGUmRA6t4+n9Da1R6YInIlUIVAoUjdNC58qs7bRHlsxEcEqcitEknnu3NLJjv4xInFbrAF89Q/76Ivn+MLaxilpv03tER7eN1g4FwcHh7cWyRMAApgjA5CIImSZVCpBxXfvxHj0ISpblxNoWY4Qgl65hMxwhvqQF7ckEAK8kgmWhRQMk3q5Dcu0MGQfasNiAEr9xx7iVj6LlYmDP+RYL7xByIqCpJxcFgjTkQ2z4dwhh9NmInJ1fNRqcqqwNuSlN5bB0/sCN+e2UjzyPmBZIYLVUOLjuiWV9MYyROI5sobJjv44d27p5Pkjo2imNa2e6ng/LQcHh7MDy9CxJAVTcTHmq0QqKUb6xGcJVwSJJrN86b5XCXgUblg9B0kSzA15MAwdLzpWtBc9m8ZXXY4sA57po2ssy8Ls3weWiRUbwCqpwRobxHL7UcrqnfTUGUJIAiGdPDo42+sOjrByOA0mR6QAXo0k2NQeYbXWzsjjd/LxZA6p7BoAbuzbzL35lczPv8g67RXC+WrgJm5qrZvS3dfWMQzAjv44Od0elXBBQwl98dy0eqrjPbLONJneZ4jv/B5GZgjZW46nZi3Z/i0AFK34U7y1696wYzs4vJ2JKKVIS68GScaTiWNgUOS3O/l+sbWHgwMJAJbUBFlaVYSBQFZd0L0LsknIJpEsHSFUyCdPMMj52P+tRNT2usqM2b5ZkhPBOhMIIWZNuzpp2dlxhJXDKTORitMMkwsaSrh6UQUbW6oY+f3XSLyyCa/i4vZLmgFI7nySGxvgyXM2Es5XsfjSjwBw67q502qldvaPsaM/TqnP/nH86lWLpqUY3wxPq/jO75HuuB8sHSxId2wGISMpHpTAHEdYOTjMgGFajGZ1wl579p+7uIQKn6fw+tp5Ye57uRePKrN8TjF+RWDoOrploVY0IlKjaIP9GJkswuXBteqyaQ9vIQRizkKssUGE2w8WWLF+8AQRivpmX/I7FkmWkJVZon+GEx2cDUdYOZwyG1uqeGDPUSKJXMFmYVN7hI8nc7gklbhcStwqo2ZkB+665TQ1L6by4ENwXFfP8bVSd2/r4chompBHIatb02q33szaKiG7sEwJjAyYBggVofpRihrf0OM6OLxdkSVBiVclntNJayZKxmCx24Ui2w/g1oZSfvLpcwm4FSqDHlKZ7LHYU6AMZeVViP6DiOJK9K5XyT7/ACO79tN33/2EL76Y6nWrsDJjKOU1SJVzEaoHy7IwLBMrn8HKphDewFt2/e8knFTgmcERVg6nzPrmMP/xoRWF6NGm9ghdLz9KNF+Gq+x/8zullAs6thBO7SKw4hq04S5S7Y8CAjVcW/CzOr5WaiI9uLaxFFf389Rv+QFf31XLJeE0iy/9CBtbWqas/3pI7WsjsX0TwVUbC+czQdGKPwUgO/ACZipiR66wMLUUerzrdR/bweGdypyQj8FEjmQsQ96wGMvqhP12eu75IyM8322bhn5iZQ2SaaJYOrKRRZGDWIkYInEUtTiIIQSWadB51w8w8wZ9P/85fu0woUuvgeQwRnIUZdFaAKy83exi5tNIjrA6I0hCIM2S6rOcVOCsOMLK4bRYrbWzILWJoLYRWloY2LmdskwNpnshreVV1C2tJrbfz2/Ty1nbVEpdSy9YtsfVREpPN0y2dI3QWGI7tt+6bm6hSP3ef/g6wehzZIdd5CIWiZCX9R9dX3B2j/xyZlE0GxOCShvpJdezC7DtITK9z5Du2IxS1Ei2f4stqjLDICSwJBASrvLl+Jo3nPF76eDwTsCyLJ7tGGYsr1MT9KBIkMzmC8IqmsoX1k3ndXyqjMiM4U1FsIxyxPh8GyEESnUTmd5eJEXCzBsIRUJ2uzHTCWR/EWZqrLCuHCjFzKWRfaE34JpM8kcOkGt/AdXvwb3qcqTi8jN+nLMNSZGQZkkFWk4qcFYcYfU2I9E5yuBzPSAEFRfUEmwqecOPmdrXxuBvv4o+2odSMgdjbACA9R9dT+pDf0L0mTYMTzEbL1pEsKmEG3ur+f2+QaqG3PzHh+461jU4btMwksoRy+ozuqjXrf0ge3I6MU819eE0wUkGoontm0jufAhgRmE1IZJ8zRum1UNNbOuuXU5gxTWF/aY7NpPp+gMoXox4F2Y+CYDwhLCMPJLsxl2+0qmvcnA4AQ+1H+W57mGEkChyy7x/aTVuReZoPMtz3SO4FYnF5X6KPSoDSY0Sj8nc9BDCMiE1imhchZEcI9e5F8tVRPC6T1MbS5PvOohQZZTFFyIqmzBHB1CaVmLqOnoug6y6UEIVZ/x6LNMgv38r8d//Gssw0YN+rOQIrpompLoWpPL6M37MswVJEkizpPosJxU4K46wepvR/9hhkp0xhCLhKnK/KcIqsX0TmUPPgaEBEFx1XUGY+Betn1HkaKZFJJ7jzi2dU9zTV+Ve5RLjBZ4KnM/5rddN2aatY5hNybk0XvUPDIxmSLdU4Z9UUzVxTDXcSOSXt0+LXBVEEkwTQq7aRpQeP/4VF1G67tbC8olIlGUaZLQkwlOKmbEdpL0N70EJzHGiVQ4OJyGV10nmDPKGznAKTCCZ19kZSTCW0xHA+bXFlHgUhtIaecNiODQPfypCoKgEIQTpw53En3wEAPf8ZbiKAuQFWLqBsfcZDCOBZ90HAcin4liGjm5oSOqZNw81Il3kXvg9ruIA+bEkanU9ruYlYIE5cPAdLayEHaSfdR2Hk+MIq7Oc42uCstG0XQwuINTy5oSmg6s2kunajj7aR+kVXyB85a1TXp98ji+rLdSmdf7W5+UFyWIomePVSKKw7rKRZ1iivcL1a6upOi5aNVGk7lMl0pptvXC8s7t/0Xq2fe9mjJ2/w7PjMeb98R34F61n+JE7GHlyM+766UIo0/sMqY7vgz9C9uhmhp/uLkS1Jv4MP/2XWEYOIxcHPY1l5MgNvIBn9e1OtMrB4SR8YEUNibzOtt7xNB2Q0y0M0ySnGwRUmeqAihCCqoCLRF5nKGcxpFSxOBBEAVx1c0FIyMFilOJSPBVlpFQVNRhELatA8vnQuncjV81DVl3oho6kvD5R9eJ/beJXX/hbzv3YRj763X8oLDfzOfs6hMA3pwpSUczEKFJRGCSBpeUQqvv13LKzFlkWyPIsykl2Ilaz4Qirs5AJoSJXX8/wywfRhjxE9o7grd2G6ndhpDX8tUVvSrQKbEHT9OUnTvj65BTdnZqPud1xWoSMocKrATflATfbe2MgYHXje3C7yqek+CaYKE5vLPHSNZo5YbH6k641LDQfo2akl8h//QWhiz7F0OZ/xEyPIKmBaUIo3bEZPdELRg4t1oEe6yTT20b44q/jrV1HpvcZ9GQfQnaDkQNTB/IYyX4Se+6heNUtr+3GOTi8CzAtixuW1xBN5fG5ZBpLfDx2cIi9g0mCHhVZCNu3ClBkgVuWSGkGkrDFi5kcQbGSlK87H1FWh+Tx4VtzFZ6mhViyitl/APQclurGGOlDDlXhCpZgjg2R7z2AOncp4jSc2Pv/6yfEnn2KA51p0qNxnvn+f/GRO74GyVHMWITok09iRhKUXHIpdNn1mMbIUSzTRA7PgXew67vTFXhmcITVWUhi+yYGt93PoK+BYtciZKUGS/OQPDKGq8RL8eJyKi6oPfH2naMMPt8LlkXFhXUzCrC2SAd37bXNL29evJadI/3cc3Abn5zfyq1LTi9CMyGS5OrrueTFDC8Ji0M+GaWhmFsuqGdTe4Tf7xtEMy3Kl5xD6yf/l30Ox/lTnaoB6JpLrmMr0HDgmxjJKCNPfhdLSyI8AXzzL5qWJvQ1byDd+RBGKoIaasbMxTGSfQw//SXCF3+ddMdmtOhuXOUrcJWvsAvY04Og+Agu+eRp3QsHh7eS+x57mc/8/d0sqCsDLL7y+Y1cu37lG3Is0zT5zL89wBMHUgSDbs45twEhBPuakyRzBsq4G7oAFFlieLyI3a/YX57cqoJkGZgjveiHdyEsEyvSgaXnkYrLkYrLMXUNs28fSEqhyN0ydIRpkPjd9yGfxTXYg++i6V/ULEPHig0iQhUI2X7UWZbF0KbfgGWyfFEj3UPLOPejG+zh0Z3bMTMphh95EOH2UP7p5ZiqCytyGAwDTAu5Yfk72iBTiFMQVu/g6z9TOMLqLCS4aiNPH4rSkQtxvqES9nnR0xpgocVzUBM8YbQq0TlKzwMHyEUzCFngKvbMuO7m7nYe7z+IBdT6Qzw90MHuWIR7Dm47bWE1kaLreeAAq61BgpVF1F+7YIpIemBPhEg8x1Ayx+2b2wt2DafiT3X8DEJbgN3E8CNxYs/+FMlvYWoKir8CPR6Z0vUHdr1V2RXfLxS254d2MfriP2Ok+ojv/B4AatnSgrv6yYrgHRzOZu5+YCuZnMb2vV0A/OMPN79hwuqR53bzhx0DKN4g8XgWSzMpL/HSWOqjqdRP9tV+PC6Z9y6swDXpYZ03oUQWSJaJKcDKpZHDVViZFFYuMyX6ZCaGEc3ngKwiAiUIQPIVgWUiJMm2yLNA69iBXNmIFAgBtoDSXn0ac+AQUlktrnOvBWxRUPH+DxJre5KaGz/G33xr0u+3twih56jb8B60+Bjaq8+hkLeFRrAUqWEJyO/sR6YkS7OmAq3ZUoUOjrA6W0h0jhJrHyLUUk5w0XqqP9aC9uABgsO5cVGF7TZsWmBZHH2um+GXBwg0hhBC2Ns1lRBrH0KL50ECb5WfUEv51H2Pi6yGQAlhjx+/4mL7cC+mZdHgL+GT81tf8zVM1HwtnnQcmPC/Wsmm9gjb+2L86IUj/HpnH/PCfpZVBWf1pzp+BuGECNOGuzCSUUzNg+KvwkxlwWJK198EE7VU9tiau7DySeRgLUZmCG1oF576ywsiamJdB4eznbym8+Hb72QgGuPHX/sTdE8J/op6TENDH+nnT95/erYkp8O8+kqygx0E6payoK6UH//ROSiyVIhofHx1HZFEloxmkLVMTNMib1oIVcIwDAxAFSD0PBg6wuVGrl045RhWPm2n3lQPZj6LWlRm71/IBN9/C3q0H71zJ7kXNoPqwXflTUihSvSxQUT1XKRACCvScWx/uTQlc/wUX7wY4h3k8msQkoxLkZHnrcbo3Y8ncgRPsQfLzGJpWYxUEslbilo1rxD5eqfipALPDO/sn5KzkOPTXxP//2DCoOhoCoBgUwnrm8Mkrl/E4PO96BM+MJaFEnBTcUEtPQ8cIBNJkhlM4Rr3iwk2lWBZFnpWQ5IsrMR2pFyakUNVxA8MF9YB2HK0k2g2BW44khxFADfNP/e0o1WTCTaVnDCSNpHmu/GebWR1g+SYQSyjc/WiCja1RwrrzERjiZebxIO8J/0oew9eT1vHX7O+OUxw1UZSe5/CSERx1Z6PWlo7q8fV5HorOVCD7C0nf8K1HRzOTpI5nXu39/J824s8vOVVQOKcD30Ff3ktstuHrLj4/277DJ+5YeYvSmnNoDuWoTHkxaPKM66jmyZYdgt+Om8QcE99XMyrr+TQb/8OwzApKwlO234knWckbf92pfI6XkVGkgSJnEmZ10I1cljZMSithXQStByidA5mYgThL0ZIMnJxBUYmWRjeYGEVXNulYAmuYAla+1PjL5rkX3oQ5rVCuBZJUiBYilJWV5g9aJk6Vj5rr37eBqLJPBYQ8rnxu2WsiSgYArW6HhQXxs5nMfv3Y+x7AbnlolN9i96WnIrdwmyvOzjC6k3npW0PUnHkQf6j4yLY8LFCOqy8JsTHF4SndPpJuVfxi00E100XC+HV1Qw80YWmGwyQZqxaow5IdsXAsDB1HWNoG4nt+wid/3+AYxGltkgHO0b60U0Tv2qLsjn+YjbUt8x4zmdqVt/EwOXKoIeRdJ7qInue2GzpwK7RDJenHmFOohPT2sym9k+xvjmMf9F6qj72rRM6qc/E5Hor2VtecFsHu3vQiVQ5vB14aE+E+3dHOHR4GElRUT0+svFRMqNH8ZVU8MGr1nD7Datm3HZwLMtf/2YnRUVuLlpUwQeX1Ux5vTuWYVvPKJUBF82lXp7vHuPIaIZl1UVcPn9qJ3JJkf+E5+gbF2zpvEE0pVEREHglGQG4LB0pOe5lBbhWX2On73a3YXTuRArPwb32BiRPAOH2Y+YzCElGkqfPBVTnt2IcegVcbrAsLH8pSAqGO4iUGkF77j6k6nm4Vr0H4QmiLrkA49DL6LKMZdrF90PJLOmcREgA4XrMo90I1Y2ZTtn1VYBw+0717XnbIskCaZauv9led3CE1ZvOFd4Xiasvgwab2i8rpMEubKmi7jhhMfLYnaT2PIY23DtNNFReaHup7Gzbx4PFfahGFjPiYW/ZMOeMelAtBTnQSnDVQvzHRZI2d7eTM3SqfEGi2SQjuczkwfFTaIt0cNuLbUQj9jfSCfFzstEwJ+LOLZ08fjDK8pogq+bUFK59QrSdiI0tVRzqu4Gygfs5Wn39lHVP5KM1mamp0Kn1Vt7adaQ7NpM69FuOHt6O4l5OyfpbTtvZ3cHhzWReWQDLsgg3NpGTK5FkiUT/QaIde0kO9RHpOshd/1PKpec0sWJeNWAPS97cPsBLnSO82jlKLm/QOjdMNJVnKJWjOezHJUvsORonkTdIjmRoLvWSzOkAdI2kgFO3ePG7FZZUFvGHA4OkdZNIMs/6hhI8LhnVyGEICSwT9DzGoa0QLMNKjAB2bdUEQgjk40TN0XiWVF6j1OeiaP65KFXNmGMDiMwYVjKCZdqWCUb/IXt/w33H9lU1D8nlQU6PUDoySMxdSj5YRTxvonlrcC+opGTpOrBMjP3bUBauQamsR6lb9NrerLcRTsTqzOAIqzeZBefcyAFAyZw3pRtuRgSANU30TAiFfDxHieni2rE5+OQ5/K67nfvkXZzfVMFHrfnsLavmgtAcjpcIE5Gp3lSMB3r2kjE0elNjbO5uZ31V85R1N3e3MywilFVNndU3mwv6BM89cT89W35D3doPAtVYQLnfzTc2HIuOzRYFW98c5tzrrybdobG8+Wq8tVPXt+um7CL0iQL0ycTah4gfGEZP9pHvfghf8wbCF/9b4XVf8wYyvW3kOvaTSw6iBGsdYeVwVjGYzPE/zx/h0e39fPH6xaxbXEnslZc5EDXwl9dh6Cbu4LEvTzsORjgk9/PTl6Ncck4dS+qKuXR+BVuPjKIDSxaXk0lrLK8M8siBQQwL4lmdNfUlzC8LMJweJaBK3L9nkIPRNACXzjv9aLUsCaqCbg4Np6kp8hDyj/s/qQoESjHjQ4hsErAgm0SuakDIMtLccwrpu+MxTIs9gwmWVvjRdIOcLuEtLkMYWaxs3I5aja+rNi7FUBTkmgWF7YUQiHAdZiqO/OpTBPxl5HylCMWFQKAJFeH1IUkCefUVp33Nb2ecGqszgyOs3mS8tetYUbuOFbOsl9rXBhb4W95D6eVTfZQGn+sh0TGKt8qPP+jFk1IIDahsaG3hge49PEwX230jyFmJoW5zmlgiFcKKNFNV3INbOoBhmYTdXnpTMe7Y8wxHkqO2+EqF6Onxs6Z0Ljcvb2V91bEPVjXciHD5UMONJ72Oni2/IdT9FD3ALR/7JrUh72sapnwiV/XhR+5g+OF/BDUBAsykiffGqcJqIgVqxb9Pcs8vyA3tIF2+ckrXnxpqhgVByIdn9NhycHizsEwD/eCLkEkizT+XQcPDC92j3PHgXnTD4q7f72fd4koe/MZn+f7vXuTeV0YoDnj40PIKOpYF8bpVDo0J2pNu3B6V5/dH2RdJMDccIJXTiWV0ZEng87v4yoN7+PgFjbYwG58RF3TLRFM5Bi2IJnKF82osnZ72y+QNFFmgnqRT7Jw5IZZWFuE6bgadFChBCpSgd76MlU5AMgYIcHtBS2FEjyCXNUwTVzv7x0jmdPYMpfHIgkVlFqokIRWVY8WOYkkSQlaQgmUIt8/2npqBNAoEynGlR6jO9NHjryelwdFkDp9bpdj7zvWrOhGy0xV4RnCE1VlKYvsmcr27CKy4Znr0ZPyDRgm4qXlPbSHNtb6qhJXhGh7vTzHHX8yq8JwZ66Y2tUe4r2Mv2fABXKrC3GCY5qIwr45G2DHSTzSbojcVY05iNa92SFy9aOk0caYNd2Hl02jDXSe9jrq1H6Rn/O8LT9GnaiYm3NSPd1WPPftT9LERkGUktxtjzJq27UQatP+BeiR9ESLWQX5oF3qyr5AK1KK78TZdNSWS5eDwVmClx2BsCCHLmAe3QpP9+79mSQU7DgzzwQsaALs26F/+82E03eBPb1jL5z5wVWEf6ZzOrT95gfbBDBZgmhb7D0fJaiZjqRw+t0JOM5EEXLOogkROpyLgJpbR+NEL3XjcMiPJHIcGk4T9Lr54cTMLKqYWqO/qi/H3f9hPkUfhOx9YQdBzzCvqeDF0vKiaQI/HSDxxP8LI46qfixquQPiK7Be1nJ0qFFOL6584FKW1thiArGFhWGCYJrLqwgpVQS6FFAwjeWau/4plNDTTJOR2MzLvAjxkACiSBD/YaTfS6KbgnNpiyvzvTIf1E+H4WJ0ZHGF1ljIRNZkpelJxQS2uInfBPmFy/dTNi9dS6w+xob5lmhhqi3Swubsdo9hFNnwATcoy11fCJ2sv4dmuEZYF3QwZw5T3vsqCfY+QbtqAT72IxhLvKZ/f8YXuF152PVx2/Qmv81RrtU5kgeBfehFGohfvgnWooYYTRpuiW3eQGW5EUv4UJfQIkvZg4TWlqBHLMsgN7XAK2B3ecoQvBKoLTAMMg4qAiwsbSlnXVDrlQa+ZFsgy6AZJY+rDzgRWLa7mUKoHQzPo2NNHrLaY9v1DlFf4iYxmKPOr3PXR1fhdCn6X/Sg4MpomltEgk2dwPFo1nMrz9KHhKcIqqxn854s9lPpdxNJ5jiayBD0BDkaTPN89Sn2xl0uay2a8PsuyMOODkE0y9uzTSHoOhMDM5hChSqT6ZVjpMYTbh5Cmdyye31BCz2iammIvJR4Fn0vBpSp2/VTpHNsiYegIpmkgV8xFuDyFbUczGr/e1Y8FDI1luG5JJaXFPoSQKPUGCPtUJCFwKxLtkQQraySKvdML5t+pqIqEegIRPIGY5XUHR1idtZysKPuktgZVzVMEVVukg7/f/gf60nHm+IqIZJL4ZBWvx6TOXcLa0GL+6cXnIVHGxxct5ebzPDz5/M9YHT3ENuth0kUX0jWamfX8JgTV9t4YOwcS9MYypxSdOtVarQlS+9rY++SveNK1hjWXXEdLpQvfykq8jU201/61LerU4WnHdrmfR1CNaZSB9xME5oYL0S893oWRiWJmoqQ7NjvCyuEtRUgS8oILbHPLkkpkWaYyOF1gHBrO8OFPf4CBoRgrVzYWluuGyT3buhlK5Qqpnc9/rJXsSJaejm52/H4nnqISPKFqnphfykcuPVaUvbgiyKo5xXQNp9jVO0bAJRMOuDkYTTKSzGJYUBZw84f9g6Q1AyEErfUlNJfZ0aHeWJY5AQ9HkzlMy0KaIbphZRNYiSgAgflzGdr1HGooRGD9B1FKK+2VTtKBd1FTmGRNMfsHk2gm6Mh4hMCyTLRMenyWnxeh5zCi3SiT6qvyulmovxpK5rnnpR6+8b5lthWDZfHJc+bwTKddOG9ZFvK7rJ5IlsSs12y+y+7Ja8ERVu9wNne38/zgETTTbmu+rm4Jummw5WgXn5zfyt07DzEqH6UkaBenr68Kc2Ttx9j/4n14FlzL1d6KKTVRE1Gv4yNiE7YRhmmdqMFwRiYiTGq4cdoomplIbN9Erv0PhMQeBvqfYOklrXgbr8LXvIFNr0S4b9cAT3dE+eaGpVPEVem564BnyOcaKVuzkmDTpYXX7OL1p9DHjmCZxmmcvYPDG4PkL0aat/qk6+zoHyPocxFsqODG1mMjrgbiWZrCfprCfgSQ1E0MBB9f18SP7v4tejZFMpvCFSynYyA2ZZ8DiSxdsTQuVeKGVXMQQrCze5R93TH+7Bfb2TcQ5+pl1RxO5VAVifKAm89d2GSPhDEtFEmAJGgq8c0oqgCErIJlyxvZ66Pyz/8F2R9EcntmXH8mdPNYyt8Y/7epa1iGDqZufwYpblCmRpsqg26unF/Oj17oJJ3XcSkS/7Wjj2KPwpXzypCxuKSplGe7YyyqLJrm3fVOxxFWZ4Z310/NO5iJlJoabkQb7ioIlA31LWwf7qUvHeeWxWu5dck6PvLkPXQmR9hytJObFqzk7gPQVOLh9t338MlcK7dedStcdev4Pv+ToLYRxnsLN3e383DvPgB29sW5+8AOblqwko0ttv3DbAOUj2ci8hX55e2nFLkKrtqIO5ah8dA2qns3k9qVpe6WewHYmBvm6Y4oVdGXSdzzfxlYUkxo7S2FNOKc2nX2Nb3wj0i5jUgBUegmNPNpLD1Ntn/La7r/Dg5vNufUhuiJZVg1J0SR55iAKJqUuvrMhY10jKSpCLiZWxHku7e/j0/9nx9RX1fDx963hs9dZ7fRPLo7wr8+tJf51UFwy6TTOpcvt20aBofTDI5mSLokLNPi4V0DnLsozJhm0lTiIzR+PEUSVAbdjKbzzCubWt9kZjNk9+/AVT8fpaQMqbwRKzmKVL0QcZz4iQ9GGTp0hLkXnHPCep5ij0JT2IcAisZru5AUTAuEJGMxbq1QXDFt28qAmwsbw0iSoCOa4mgyRyyjkdIMJsrVL20uR1VmNk59J+NWxKypQElxhNVsOMLqDDPyzB3En7+bogtuonTdrW/ecR+7k/j+PnIemay+A1cyRuui9ayvaubxq2+etv7Er8YiVxdrXO08GPXSp+VI7H6h4L4+U5puohh+Q30Ltz3ZRnvyCHcfgG0fXfW6zENPVlM2Gf+i9aTVFnI9H8ca79KeYH1zmG9uWMrYj/+Fxr4niac8uKrqpqT2Jl+TJfWReGUzSqkbT3MrkivgDF12eNtwbn0J59ZPLwko9qhcPq8cBLhkidrQsbTa9RevYPiZOwA71bW9N8bdD+8jmsqT1gxeOjTMgoYSjgwlaRoMMKfUx5K5pZguGb9hsTs9BsC2fcMES73cN9rLn1zQgHtchCwoD0w5l7xuYmUTKH27UYwk0bu/QeWf/zOSJwCeqesCaNks/7DsKhKDw2z8p7/k6r+5Zdo6YIumUp+LwyMpHto/SKlXYU1tiLG8DEiU+vxohoWVzFMa8EyJwvzs5W7qS+x7UlgqQBGC0Yxmj91JazSUBt51nk1vVMTqrrvu4t/+7d8YGBigpaWFb3/726xbN3PJxVNPPcWll146bfnevXtZtOjt4SXmCKszxPAjdxB79qeYuUGM+BCmdieW2f3mDfIVoKut6MoK+l0BficN8r8iHdOtFpha4P6tp7/H0+k8JZaGqoepsRoL680kdibXcN20IM7dB+CmBStPeFqnWpx+KkafE2xqj9ClvpcP11Zy3RV/MuUY6xetp6emmNSIG8VfNa2LcPI1jbbdiZlSoaiSkvO/4tRWObxjOGEXnmHSN5qhrtTHq5E4P3z+CPGsPYu0oTpI4micF7Z2Mn9uGFkWaKZFOODGBD52YSNfvndHIYpkWbCgMoAqS2iGyWgqh0uRKPa6EMIeg7Ola5gGRpknyyhFxSjFxSc9bz2vkY7FAdj3y98y1PY87/vRv1FUWz3j+h3DaXTTYjCl8UJPjPqQh2K3giTLZHP2OJ1kJkeR14WQ7HvSOZxmJKXhc8mE/S6KvSora4pxqzJa0kQStrhI5jSK3mWWC9IpCCvjNIXVvffeyxe/+EXuuusu1q5dyw9+8AOuvvpq9uzZQ319/Qm3279/P0VFRYX/l5efujntW42wLGt6f7rDadPxldXk+najFFfiqqpAKgbT7EGS6jDHOKUIVqJzlMHne8GyqLiw7oQF6pOZnAJMHhkjwnK+7YnwgnuQGxqX8/XzNpx0+w899E2eGOqnyVMMZi0X1VSjePPTaqhmGuQ8G3c8c5j8pr9mvfYKdedvpOqj3zil7Wbj+M7DyC9vZ3Db/fQEmqld3UxdyULyvcfSoal9bQz+9qvoo32UXvEFwlfa78NrcY93cHg7kszp7BqIc+8znbTtG+SD59Wx4bx6vr+lk4xmYJoWf3X5Aj591xY0IUDT+dz1LRwZTeFVJZrCAdY2lXKoP8HPn+viIxfUI8ky6+aV4VFlRlI5EuMCzRKCWFanMuBi10ACFzrnemK4Mknk6nnIxaUnPddDz77Erv9+gN3/8QsALvva7Vz0l38647qRRJZnOoeRhcClyKiS4LJ5ZchCEBmzx9GEj+5A1vNItYuRwrUcGEqys2+MkFdlRyROkUfhfYur2LwnQrFb4YKGEJIQSEJQHXrnj7EBiMfjFBcX80c/bsPlmx5JnEw+neTnf7KesbGxKcLnRKxZs4ZzzjmH733ve4Vlixcv5n3vex//8i//Mm39iYjV6OgooVDotK/lbMCJWJ0h1LImcv178TSeR/2f/YajD36MbHcPuZ5OjOEUcPc0YXW8QIi1D5E4ZI90cBV7TknATKS2AiuuoeGz36ABuOXldq7d3k2jXG93Bb70JH1jWbvGavXU+WG3nrORhu52tg/3snPkMEP9/aTypt3VN0lYxdqHGNgzwG+6dvKD6o5CvdbJuHtbDy7jHFDh82fQdPN4t/rgqo08fShKyuyhqudRrGLvFBGX2L6JzKHnwNCIPftTwlfeat/7A2E2nvc3ryuF6eDwWkjveI6xR3+NUjGHsj/6C4T8xtbz/OKVXl7tjrGvP44iC7bsH+Ija+r5wromhpJ55pUFqCn2UFLkYTCRo6YswBM7BygNe0nIEnUlFi/1xLhqYSWXLK7kxv/cymhaY/9gki9c3IxXlUlmNSQJomkNSQh6YhkWVwTQTQtfafWUYnbLNLGwkGawU5h30bnUr1zCyPbdJAeOsuDay094XVVBD00hHzsHxqgs8qKZFvGsbkeifG5y8VFkjw/c5RhDR5DCtSwoD7CgPMAf9tszShNZnYf3D+J3K/QnchyJZZlT5KY8eOrF9O8UTiUVeDqdkvl8npdffpm//uu/nrL8yiuv5LnnnjvptqtWrSKbzbJkyRL+z//5PzOmB89WHGF1hsj17gI9Z/+NPVpFCczBqNVJ730GT+PaaV1vE510YIuFUEs5+XgOLGvKMOYJJkdYgEKkKrDiminpuur9Jv4eL0psjIeWdPJ89DCaYfH19se5p/cpPjm/lVuXrBsXdlk2tqylN/UgumkQ03KQKcJKTPWgCbWU83Skg//WOuiID3PPwW0nFVZtHcMUeRT6Ks/FtfbD+BfNfX03+Lj7MPLYnSCg9HJ7rl/1x1p4aduDKN4XZ0z/Zbq2o4/2EbroU8D0e+/g8GaQ7u6m/a/+FpeUomxRGfnuQ/T++C7CV2/E7QHhDSIFTv6FaiiZo28sy+LKQKG26WRkNIOsbtB+eJiRMdubal9HlGv+/g88/68bWFx5LOrwnU+s5g+vRnjv8mr+9oE9aBYYhkkqb+B3K2Q1Ha9ip/7A9rMC8LoU6kr9aIbJUMqeguBS5EIt02RMw0BLJwBQvH5kZbpPlCvg5zPP3DfrtQGk8gYvHYnR2iBYVBEg4JZIZnOosoxaXAK5KAiB8NjzFS3TxAQubCjB55KpCbp5oXt0/DpkVtWGCr5e7zZOR1jF4/Epy91uN273VEPVaDSKYRhUVlZOWV5ZWUkkEplx/9XV1fzwhz9k9erV5HI5fvazn3H55Zfz1FNPsX792yOz8O786TnDpPa1YeazICmoJbVTU0wXr4frYdv3bibX/gDuWIbWcWE10Tk38ffJ/KnAFlLxl35Dau9TjBVVkul5FffSK2n97I+nrmhZmIaJnsizPlnJBWVz6RvLkpHH2B2Lc+feLRxJjvLKXoWXe8d4cPg53ru4DK+sogmLxlCYW1auBGyBdOeWTgAuWlWFb7CT5jR8cn7rSe/JpvYIkUSe65ZUceu60xdVx/tVTRY/e5/8FdKO3+OSJdRSu8286fE7abKg9IpbptVK+Retp+nLT0xZdvy9d3B4M9jz5b9l+EX7y5cv7EFyyYixlxjs2UPlmqUAuC/+KFJw5nRZRjPY0T+GEIIH9x7lA8tqTnq8rGbw6V+8zFhWo7m6iJGxISTTxLIsDNOuuXqmI0qJ38XSqiLmVQaZV2kbgTZXBTmatIVYOq8TdPnoHs0Sy+h850Mr2d0f59IFZRxNZBlN5yn1KhR7XTSX+YllNGqLp0d8LMsilc0Wuu8Yt4F5Payba382FHkUVs4pZiieHn9FR5EEwaIKRDqGVFqLoeskM1me6k6SM0zWN4WpLvIgCcG+wSSXNIfftaIKQJUlXKc40qaurm7K8r/7u7/jq1/96ozbHN/deaI5kAALFy5k4cKFhf9fcMEF9PT08PWvf90RVu8mEts3IYTAXbuU8vd/dcZuuiddazDUIWTXGiYkyUkHMM9AcNVGUnufwkhE6Ve8tIcbKRMytcdFwiouHP+BF4J559byeNO5ANyx5xnuObiNIpebh3v3YZgl5IIjdBHj973DIASqBDetmFc4r03tER4/GMUCakN1PL5heofhTLwW4TIRiRpK2d/Ii0b3Y3iG2FTeOuU+PelaQ8i7x04DrNpIYvsmUu2PYhk6+cFDVH3sW7PWTJ3uvXdwOBOEl9aTOzpEdmSMms/fzvCvf4yMhlpyLGpkacfm82XyOqOpLG5VodTvntwEi25ML48dTefZ2RPjvKZSfC6FRE5nJG3XPp2/oJyvbWjh+n99Cn+Rj/evqeV3eyLsGrCjR1+6pJnG8DGbhM+cX88TB6N0xzLoFqTzBmGfXa+1qjZEQ6kdjTo8nMICRjKaHW33u2eMVAFomoZpCfJCQQJc6usvDpckwfkNIfKGRU4zEMIurJ94bFveEGqRHYE38nlGswaJvB1p646l8blkOkfT+N0yYd+7a4TN8ZxOxKqnp2dKjdXx0SqAsrIyZFmeFp0aHBycFsU6Geeffz4///nPT3n9txpHWJ0BJptc7n3yVzw17COknMOSykuYkBW9pefwM38FjWNePM8cLng9nc7D3b9oPVUf+xaJ7ZsobWhlSPFz+c5NxF/8DUd3PMYjC24rRHeCTSXjnk0/RcrZomuFewnrRSmNFXmOGD00NNRx594tRKwEc/zFBPNuorkUR5J2WLytY5jto0fw1x+h2dUwo0hqi3Rw117b+2ltZVNhgPP65uYZr+1EBqNgC9TUnscgrxPxruJo+ELkpiunHXfNJdexqbyVhS1V+MePoY30kj2yAyMZZei3XyWSGSN00acKheoODmcDcy5ZRd016zDSKYQWI3T5tSSfeQi5sh5RWoPs92NFDmAGw0iqi3Rex7RsgWX53fhUmUUVAY6MZrh60XSPplv/azud0RStDSH6Dw/gUQS3Xr2CoymND62aw5GjCXK6iTfg4snDo7h7xlhUHyLoUXmue5SX+mK8v6Wa7lia7f1xqkIeLMmeS1jqc2FaFl5VtiNPeQMBhH0qoxkNnyIhsOunZsLIpSEdx40gpwZxu12nNXfOsixiGQ2PKuNVj6VAkzmNwUQWAFlAVZGXbDaDAFSXe4oflaKq1BR7qRnLk9ZMFlUEGctqmBbkDYt0XsetvLs6ASejSMI2eT0JE12BRUVFsxavu1wuVq9ezaOPPsr73//+wvJHH32UjRtPve52+/btVFfP3Bl6NuIIqzOAf9F6pIDg0E9uJd0TIaZeyD8Uf4b5O/18s8Eer7Kla4R4Tqc9kuSfHjuAR1XY3hsjntO5qbWO1Vo7PVt+Yw8rPslsvQlbgirgQiBVFCLSs4Ps4ADG7gemRHcmR85eVlu4bfNuoimND3Ue5tz4FurWfpAfXnF1QegAU/69qT3CrmQnBEY4Z/GcGYXSXbu2sblvHy5FoiM+TNqwvx0fP1Znc3c7DYES7jm4jWguNWWdidc/0NBKZb+OFa+D8jksuPrKGY85U7RJLa3FN/8itOEuEtvvRxs+UihUd3A4WxBue+6m5PYgKhpgx88IVJfiu/R6JAzMgYOg5TDHjiKV1RFwq+iGiUeVC8XfdSEfdSfoVpuoeerqHeGlXd0AXNgyh89evQxFlmipC5HrP4hc24DbW4IsBDndYFm4CEkSGBb89KVu+saylBe50UwLWUBtsbeQIqsIuEnmdCLxY2KmqUjFHC9GV5WZHyuWodvXjkXQ60Y6jYJ90zQ5Gs9gYdE/ZrCwMogybp+g5fNT1jW0HF4jg2WaKFYeXMfSqkII3G43l88/Jkr9qkw6b6DKUsHs9N2KS5FOaNUxgXWaswJvu+02PvGJT9Da2soFF1zAD3/4Q7q7u/n85z8PwJe//GX6+vq45557APj2t79NY2MjLS0t5PN5fv7zn3Pfffdx332nVnN3NuAIq9fJRGff1cmf4WeIUV8R7UXrqfK56RvLctvm3Xxzw1Juaq2j7tHNnBN7lmfE+YyEzqUvnuPIaJq7t/VQkfwNoe6n6IGTDi0+noko1uiTv0J2rZkS3Tnc0ErvwCFqG1rZ1B4hmtIo86ssHHqa0NFn2WOm2Bf45LTo0ebudsBO4/VqixDBaEFsTaQTJwrgrUQZaraUqqCHT85fUYhYTWZzdzv3de0iq2sgBLW+YhoCJXzpxc1sqG855uZeu4g/X3gLngPDvLcxTN0pRvMmd0ZWffQbqOFGYs/+FMkdYN8XKile8xGqP/Hvp3xPXw+Ta9JuWdvkpBsdCliWiZVJYikKlglWbMgetAyYiVGk+kWYsSEs1YWQ3VjZJC7ToHIW76fJ/OsHl/P7PUdpCLnZuasL3TC4Z0eEZ4ayfOqCRt6zsILHv3ETbTsOo5SUsay2mJpwgLFMnme7RsjrJjv67KLkimI3FX4XmmmRzhvkDRNVFoS8KqPpPMm8jipJ+FQJTVIo8hyL9FiWiZ7P2e7nqgtL15DcfkAgKeo0UWXl0lh6DuErRgj7wW2aJvlsxr5HWhYhfAgh8KoSYtLgLJ+RxZQkLEki6Pej57JYlgUHX0LPxJHmLECpmQe+0IwRMkWWWDRpwPS7GVmcQirwNKKMADfeeCPDw8N87WtfY2BggKVLl/LQQw/R0NAAwMDAAN3d3YX18/k8X/rSl+jr68Pr9dLS0sKDDz7INddcc/oX9Bbh+Fi9RiYeoDv6x8jpFuv8e1mqPctu9SI+u+FjAIUI0Q3Lq/nagmH6//Oz5Eb76SpfS9Gf/IKd/WPcva3ntCJWp8NHHrmXxwYOcEX1Am5uvqJg7eDe+kOyL/yMjsoGjGQfxaqHI+e8nzXnf7ggcq6uXTSjB9a5m77FrtEBSqQQ/732cwBTLCNmvFeRDm7fupne9Bi1vmK+sWbDlONsqG/hrl3bsBJl3Fo5j4ZY7pT9so7vEDTdywp+W33fWISZGEQKVrDou0df382c6bqOs8to6xjmts27OTiUQpUlbjq3jm9saJl9Rw7vGvT+Q2g7HrWLtkNV4PZjaTnc512DjkRfzC68LlYFRcP7kUwNQtXgK0HyHnv4nyyFltUMdMPixUNR2g5HebZzhOKgXf/SWh/iy1csJJHOc8lf/prB0TQ/+dJVeIp9/O39e8CyXceLAm4+fcU80rqd1qsOuhnL2hGnS5vL6IgmSGv2awvK/IT97innlM9msPIZsMxxEWQhZBU1cEwkmqYJWgYrHsXK29ctgmXIReVYWg5D19Atu2BKaGnSwkMOmYDHRcB9LLKkZ5KY+Syyx4/k8pBNjmGZJvLOP4BpoqfSxF/dRejqG/GuuOj1vH3vWCZ8rL782214/Cf3scqmkvzL+1tP2cfq3YgTsXqNTBR1a4bJ/HI/57VeS9foZXx20kO2OeynOWxHfhIv/if62ACSqbFiTjF14+msYx1zc08rUnUqWIkySEaxEmVT0mc9D+8gpR+lZDiDnohiYtG5y83mmhY21LfQG8vQ0+OnLTw8TSx9cn4rf/fSEyTTcOeOHdx7w+XT1pncFflyaA6bu9v55PxWjiRHaZDr2PRilsY5dSwribF9uI/eVIzBUS+7ovYMwntvOLFvzQQTouajfb+i6PALyAG7ODXWPkT8gD2dvnjNRxjb+iuK13zkdd/LmbhzSyePHYzanl/N4UJUsNhrD5nd3hujrWP6PXR492FZFlY+gxUIgeqBXBpUF0rjEnRPiFxeRxv/jqti4sHA8pVANgaZOFYmTsTfwFDWZDSjs7gySEVg5kJrjyqDCpctrWJpfQjkDl49mgTgwFAKzTA5OpomMmKn5B/f1UOXUBECRofSxIdtkbN7fhnnLyijpthDTdDDK31jFHkUAi4ZtyKT1kxkIQqiKpnT0QyTEp+LVN7AZ00MZJ/47n7sO7yuG+Q1DTkxDIobSeQQlgEILC2LvusJLElCzDsfS0igePDJCiGPd5qoVLwB8NpiwDJ01IT9JcpqXI6VGCHx0n0ItxfLHyQ33I+rpKrgwv5GYVkWlpZFCAmhvn0K4k8lFWieZirw3YgjrF4jG1uq6I1lgJlTPpvaI7waSXD1ogrWN4dJaRvRhnsLkZU3kgmX9Fsr51GrVk0vOhcAFsHyJpTm8xjKJBies5LeVAyAOdmlPNwxyCY1Mu26bl2yjp6XH8fT+yBZfx6YLoIS2zfR8+JvaDv0Mg+1fpjDiRHWJiJ80czwpLSe/f1HqNm2hfrFq3nctAemlqlFrND2ceWBh0jtU2ft6pvwoaoKr+EDga0YiSiJ7ZvwVF9PyjqIJzCf8uv+/ZRTgHc8c7gQPZzJHuL46BTAUCpHRjMYStldXBM/Ezv6x4jEc+waSLCpffo9dHh3YZoGuUwGKRMjq4N38QVY6ThGeTOG24Ml7LSYK5vC7/LiNzVUTPAWYUkCkUuCkIjl7Rb1oFsmksieUFhNpqLIw1evbeH5rmF+v3eQ8xtLUWWJ4qCHQDiEoelIXh8ip1MR8nDRnGJ+8dghXC6ZpGHQEU1RFXQTcCssqgjwQvcoqZzOhY2lJLI6AY+CEIJEVuNQNIkQgiOjaSr9KoZQ8WHg8rgRCKRJHYCmZQIWVqAMhMCUVYRlYgkFOZsCU0eYYKVGEUH7S5Oizl7sbmk5RC4FQiBVzUdUNlJ0hYk22As7H8WQFIxLP4oSOvWOtNlI799NdNMvKGq9iOL1V2IMdICpIXT7+cCcJYgZ5iKejcjS7Aags7gxOOAIq9fMbO36x9sNnM4svFNl8sN+tdZeMAwdetWDps2lYenMqSi1vArJreJtXkbVh/+dOuBfH7mXx7oPgObm5pYrppz78Xw420Mu0Y072zNleWpfG3ufuZudQmYwVMf9wRpG0nHK3H4W7dlObrSbSxe5kbQOWqLbCXVL/HH9KhZ2b8e18hrynf3MG9hJ22N3cvdAF2DPNZxp3uHEua1pWU6V1lS49pGHPoc1NkDWfTVccskp38u7t/WwO5Lg7m09MwqryYaiO/vH+O6WLmKZPKokKPfbD7iJqNXW7hjFXhWvKtNY4j3lc3B4Z5JLp5CwQHEzmrfos8qwvGU0eotQZQs9GbN9pRQ3Od1CCBlVmHYtUrABK5sAIVFtuegZy6KbFgsr/LMfeBIXNIa5oPHY59W+SAJfKAgWNFUW8eH5ZSRyGuc3lPDqcIrSoJuG8gBCEmzpGiGrm1gWGKbFYCpPXyxDfemxc8jpJkII8rpB3rAo87kI+Xy4JxXdP9s5zJFYhjV1IXyKbe0SVO2ntKS4MMfrzQxkcnPPR04No7j9CCGQFOWkxe6WZdm1WOkYwjLBAjPaYxuVVlSgeGT03X1g5rHSCTiDwmr0/p+jaGPEn/wtHj+Y3e1IoXJcc+3P3vyuJ3G1XvuGR8nOBGfaef3diiOs3iDeDJ+kyQ/7BSm7gFu4fJCvRi3fSKjlnBm3y3ZtwcyOke3aUlh2orTh8bRFOthaPo9Ll8LidTdNeS2xfRO53Y8QDTfy2HkfR8tnuWV+KytKa3ggPcS+7u0sXrGOC1aso/cFD4vP/wjXHtlGcrSLwEgXP1u4nhdySba6Qvy+ux1Z2J2G31izYZq4mnqOtmiN/PJ2jLEBLD2Pnhia5nR/Mm5qrStErGaaizhZKN+2eTcdw6lCq/lFTXbXUVvHML2xDGvqQwC8GknQNZqZ9dgO72zEeApMl11UlrjoTRr4VBmfW0EfHUDS86C4kH1BiGfIWjIeWSXoG097+ey6pBAQOgM+S+m8zvOdwwSKPVimxfkLylhaYx+jfyxD2rBoHLdWkMeTeSOpPEsqg4ykc7gViYxuTNlnWcDNYDLHYDJf8LSqneRlZVoWXaMZLOCVvjEWl/sJeWRcVp6Ax4M+NojpCiBUt12RJbtQAiUII49sqkiq/6TRKiMdx8yl7NSbZosnY2QP8oLVCElCBEqRymsRvmKU6pMbFmfzOllNx+9WpnU4WloWKx5FFJUhVA+WaeAKetC1BKrPDaZdh2aMDJJDIKkqxlAf1pKLELM46p8NqKeQCjScVOCsOMLqbczGliqqhrZxad+vUZsXozZ/nLy2AK96gLJ1C/GPi4LJnXyfKQKlIoRLa6TogmPC6JaVK6ltn542nDzkWRvuYqu3jJ+aMkdXbOTrxwmW4KqNuJMxpPJ5LJOX8exhA0rnsH7JXDY3n8833SGW5Ww7BlbdwM1zzyNYOqew7ZrQHDbXtHBk4CDm6FFUSdCbHuP2rZtnFFcT57f3mbt5snweaxtaqVtmp1v1+BCxZ36CNtJ7SsLq1nVzC5GqngcOFOq0JoTVZCF3U2sdiS1dZDQdSUgF8XTnlk4e2HMUtyLxidW11Ia8jrO7Ay6vH03TcKsqiqwwf1IQUwhbdgkhoSgyNcVeDNNEleXT8ng6Ea/0jJLKGaysK+ahfYO8fHiEXd2jpPIGQY/CFy+fXxBVAIeGUyyrLeLoWJbW+mIaSnwksjrFHpXBRJ61jWGiqRxB93RbgupiLz1jtgXD5Jao/niWrd0juCQwEHhVmVhWp96Tx2voGKkshq8UQ/GAZSGZGpaWBXKIXBIrO4ZhGghJhtQoUrAU4QtNObY1bvNiAcJTjHFkLyJUib7vRftkZBXv5Z+Y9X5ZlkU8Y6f2dcMgHJz6Ppjdr0IuhTV2FEMOMrb5xwhFRvb78a5aj7v1PehFYbJ7tqIdOYQSLAJZxXqbeGPJQsza9Xe6XYHvRhxh9TZmtdbOnCPfwUhG0UJepOrPkT8wjKd+Jf5FCwrr3XNwG7tjEe45uI2PhfpBDFJ80fVThkKfKEo1YWVgmSa5+FEaKhay7NJbplkqgJ3ubF20nlag9VtPF1JrK2qK6enxsyzYAOR4rP8gAqj1h1h/3oaC8FmP7W11+cN3IQnBvKIwEhLRXIrN3e0zCquJKJkZPsD/vPcv+foX7gXglf/3PsgbpJM56qZtdXIm5jTONK8RjomwyanYto5hdvTHyeomOd1kS9cI2/7i4tM8ssM7EUlWcMszf9TKxZVYWgah2mpLkWWUMzSQef/RBLff9yoAt142j2gqz3MHoiBACPCqMu9ZXMlAIkPQpRJwK7QPJmgsDzCnxMeGJTXEcxrPd41SERDkDAOfS6F+3M/KsizyholLljAti1w+T7lPBSFYVHmspujAUJLMeAdh0C3jVSRqijwolj1TEMvEko8JD48M7lx0qsu8rqOkhxBGHjObRFSqSJ5jqUjFX4yRTSO5PEgl1ch1i8hvewhJlrFMAz0eY/SBXxA47xLUijknvW+SANMCj5FFjw4j3D6Uced2ZFtQWpJM6slfY2bsQv/AogWIQBFWYhhrtB9PfTOWZZI9fBBj5CiuvsPIzcte0/v4ZiIJMWVY9onWcTg5jrB6G5PYvgkjEUUOlhFctZF0pL9QuA0LCvP2VlLJYFEJwWwtv0/V4DWGmeO9mBMlKocfuYPYsz8ldNGnCq7yma7tJGL9jGkZWxAdJ3IKJqByHV19LtY22umxm1rruHPHDh6P7ONyFnHL2kaGskn60nF00yh4WU3eX7kngF9xMb+onJsXr51iWprpfYZ0x2Z8zRvw1q7jcEMr+7r3MFy/aorYe7zs/RgRFbnsOmZOiJ6Yk81sPN6naqKG7fbN7URTOWQJ/C6ZIrfidAQ6zIqQJIT79OqlThVFEqyZF6amxAtYBD0K16yuYVfnKOc3lfLR8+p5/sgI+6J2d+D5NcWkMhoej0qJVyXoUXCrEom8zgtHRvjA8qnO172xDKm8jioJJspuSrwKZQHPlOHQ88v8jKTzSMJ29ZYlQcij4MpbkM9iWQaSuwgpl0TGBJctsgSQ95WBJNs1WEYeKZ0HScIa6UNUNdtRLEDIqi2u0nG0aDcil0IurUFPjmKkkqSPdGGk9qIP9lH+6f/vhPdMCEFpwEteN5BT9qgfK3csnS/VLYX0GJavCFfZVrTYCJLHQ6rrCNJoFld5BZaho0cjGJaEpXpRakIotdO/FJ6NqJJAlU8unHSnxmpWHGH1NmZC9EzUESW2344y9BDGwDXAJXY0p/0PNKvnUF7/BSKaybdUibT2Ca6OVLBm0r4mWyTEnv0pub7dxJ79KVUf+xYARavfz3BZE7HyeQUBM3mcDcCroxG8uWHSPY1cvaiiELHZ8shLkBxBBKOsr7qcVeFaIpl9bDnaRTST5amOYb55XqggQm5evJZaf6gguCaLrnTHZp7qfJEnohaL4nDPUIRo01puaFw+Zb2JsTcnS8UdL9JmY8Kn6sBQCpcsURuyowyb2iMcGUkTz+pYFrhliUgy73QEOryl5C2LhjJbtGkWjGY0/F6VT6xr4tpFdvH2i72xwvr/saWTrYeGKS/ycN/nLwDAJUv88bn1hXUmbA8nCtUBdNPCJdtuVbIkpoybsSyLmiIPH1hWw8FoksPDafKGRSydJyiNz/XzlCC0LGp8wN6otBapZA5IMl5PgGw6iY6M5QvjymWQZQmwCvlGIz6K5PUjVBdmKgaSguUJIssy7kv/iLH/+T7CMpG9LpSaxlnvmyRJeFwSpijBTI+NG5vaCFmBYBgBeC/9CJ5VR8n295LetZXAhe8Fl8cWYrkUMqCrpRRv/Nypv2lvMU4q8MzgCKu3Mcd3Gk4WWhN/u2MZZNcablpQR9dohsYSb2FO4WQmj7/xzb+I9FA3L8uLCd5/N0VHnsLdchWtf/rjwgBpsB3Vf9+7D800Ob+igatrF9Eg1/GsZtAby9DWYdcpWYkyrqiGm5fbW08Is4ZACXfvPEQ0EpwiQo4XU5PxNW/giajFE3qAFw9uYyg9QomR4Srv1GLaU2keOPDKveg9j6KMZVhxCsJqwqequsjDypoiGku8fPbXO4kkcsjiWF1JkUdhWVXQqa9yeEvJaAaqJDBMi5U1RbzSN8bRZI54xh4Bs617lF9u66Es4KKlpoh4zsCyoNSnohzXU5/TDdubKTWKsCwUf4g5xR5S6TSxPDBuA1pV5EUZTw1m8gaJ8Xolv8f2disaTwWW+1XISliKGyFJWLJq+1VhoZsWiqUhFxUhxqNcYnwwtVzZgEjFEN4gQlbIvPo8iT/8CqW0jODVH4dcAjwB0POI0iaEkJBVCQ2Q/QGKr/zgKd8/SXUjFU+fx2hZFnp3O/pIlMTefXjmLsJzwUZMlxcR60MuKcccHcQ0THLRXox0Etn39rBbcFKBZwZHWJ0F3PHydu4+sIOLwvORsyWnPZx5guOF1uSap9kIrtqINtJb8NqKy0WMRXtJCkEPdYy51kzbz1Veg01WnkEhU+7xF5zau/ra+cW+dp5+5EWW+BqJHPVy9aKlBbE0IZzaIh3MC/fT7CqhcU5+xrTg8Xhr13GjUoN3fPbgvr2buCzxEueMCOD9J9xuJh7LnAfZKGTOY8Vxr83kW2WP+IkggkOsDZdwd1sPvbEMumkR8ioUeRTyhslIWqc25HWiVQ5vKcuqivAoMiU+leqgh2c6RugcStM5lOaG5XN4ZP8ghmlxNJ6j1Jdl/pwiGir8+N1Ta7ximTw9sQySgCaXgSxAz8SRc0mKTANV8jBMEaosUGSJRFZjJJ1DYKfzFEmQyukIoNzvojbkxS0LtJz9gBaSQHZ7yZbNAywUS8dIj0HXLpSmlSgeP5KcQ0gykqLajvXj6Ed7kX1ePMVetOf+B6WyHhEsQapvQbg8APhWX4oa8CPVLUY6geXBcCpHMqdRHvDgc538sWj07kd76WGMvEbixVcZfOhB4j1jCFlm+d/dire6Er04TObQQbTICKlXtlB00VWv9W18U1Hk2VOB2iyvOzjC6qzg7gM7aE8eoTeWoTSxGOCED+XJKbtT6XabSSDMhJ1KHLdsKL8ST9FNnDPyIJJ1mAO117DokuumbXPOyHP8X/Mlngiey42L1xaWb2yp4hd9TzOi9LPTHGVFwwL6PIO0RTzTZhK+mjzC1XVejhgpe14gnFRYTbw+sU6mCNIdAl/z9PE7s92XF3NLoHwJt7Q2TXt9spXF5PvWke9meCTCoeE00VQdtSEPIMjpJpc0h6bcAweHM4WlZbFGBzBzdru/3LgMyR866TaqLLGk8tgYnAsaS+geTbOsugiXLLFhaRWdwylKfC6+cNFcXu4bY89gnKVVU8eU5A0TLAuXlceUXZiKC5GNg6GDEHitPDUhHy5ZKhiEBl2SXSEPeBQJt0slmc9gWRb9sQxuWRAUbjzCQPb4EbKMcLsx9TxWIgGDneC27RqEEMjjIul4/BdchdDTkBoav1G2n5UVG4SSGgDkOQuR5yw84X0yTZPouMnvcCo3TVhZlgmIQneglRix9+vx4CktRre80DOGZRgMPvQAJS3NaLEYw7s68FaW4m5cwNsFJ2J1ZnCE1VvIhEj632mZwz070eZfz9CcihkfyhPF4R/ZuYmivY9xdMdjPLLgNtZcct2Mgqkt0sFdu7axY59KNm5/UM4WQZlIIab1a5GiEYRrNR6zi+s+9Cf4Z9jW17yBeWMZujLL2XlQsOnF9oKA+9/nXcBXX72fnJSig73sGtJgb26KaJpICU4uOp+p23Dy9R8f0fLWruOl3BI2vRJhY85OPc4kJI8vru+NZaY44x+PbpiMpHLohlkQp72xDNHhIJ6QTpFUSXN9iFvWNhWOqRsmv98/yJzimR8CDg6vFbNvP1YyCrqOMRzBymVwnXPljOseGU7RMZRi/fyyKSm9lqoivnb1MdG0tLqYOz64gp5YBq9L5qqFFVy1cHrqq8znxp8axJMfI5Pykw5U4nUHkLQM5NPIwXLUScXqGc3Ap0q4JJAFhPyeQkrPMMEEMrpF0lKpCPgpllX7dUXGHD0KiShWsATcXoyedqSKJoTbN+28ACR/Ef6rPonRsxcUFWuwE/IZrLFTnw1qWuCVBVnDwqdOjdZZqRjWwH5weaF2KUKSkJtWoHfuAsugdO1a1H37MBNjSC4Z1S3T/+RWMOy6AP/aa3DXTv/idrYiC/vPbOu8U+jt7eV73/sezz33HJFIBCEElZWVXHjhhXz+85+nru50e8pt3rXCKrWvjZHH7wQLSq+45Yy7op/suBO+ULFnf4qRjLI8UMayfJqA0knVhi9MWXfvk7/iSdcaXq7z8GryCJXl8/hAzw6ygwMYux9gU3lrQRhMjmZtjsd4bOAAGiHm+8OnFEGZSCUmOkcxEo9i9g9Stv7/nPDeeGvXcc8rpTx8ZBBffw9pzaQ3lhkXNvW8p6GR3/fuI5bLzujJMxF5mkiF3rRg5QmjVXft3cJj/QfpTcWmrTMRXZo8TmZift8EE0OfJ4rrl1UFuXpRBTcEDhP55X9OiwBu6RohltXZ0jWCIkv2+JyAizLKMUfL2TWaYXlNbkqH4G2bd9MRTdMTyzqF6w5nBNMw0HMZ8IWQUiMI1YVweZBKpjqH66Zt8ZHJG/zbg3vJaibScD+fXlvPH7/vxJ9tz3aOMJDIUeRWTvgZIUkCj2SgIdMnhyFrUCrlKUaglNYg/KVT1hdCcCSWpTLgoq7IQyqbx+tWmRPycWQkCQhMLIpUyGs6qawg6B03Ph0fqyUkgZUZ78pLjcworCzLHvEjhECpX2Lfr2ApZv8BROnJLRXMbAozn7WL8YVF2Mhhqh587qmTEszEMAgJtCzk0ghvgMxT90I+g6S6MFMJrFSc4rkVCJcHM5dB8gUwEwnkkjJCay896XmcbaiyhDrLzJrZXn+78Oyzz3L11VdTV1fHlVdeyZVXXollWQwODvK73/2OO+64g4cffpi1a9fOvrPjeFcJq8nCI7F9E6n2RwGBGq7lP1PBwsP91tWr3rBzGPztV8kceg45WI6VS2JqOTyN5+IqbyhEjCaY6Ooz1CGs0Oe5us7LWj2Fq2Ieqr8Ouey6KR+Go213Etv1CC/v20PDhn/miuoMVqCMW1YuPelDfsJewTf/IvqSGk+61rDmqutY3/zhaeseHzmaOH5jiZfuVx6jaNsfeMy1ht7YZdxy5Vo64sP0pseo9RVz8+KZf0DvPrCDXcmDfHnXIfAmuXXJzIXkM31RumPPMzyYfYGahkbIBYnEc2imNW29QsG8XEeX31WIaEV++Z8kdz5EbyzDLw+EC8vXNpbSG8uwtrF00gzAODndxLRMUnmdQ9EUu/oTWEBtyGsbh+Y6mVPscVKB7zCMdJzc1odQqptxLTr3TTmmaZro2ZT98PeF7OHNpo6y8HzkigbAFhcjaY2esTR7BpNouokx/vPfNzTG5//x59xwxbkUBbykcjqP7RpgXk2QZ3pixDMa8bRGbamPEu90w8/JSCW1iOQo5O3fwjQufKFaXJ7pxpcraop5/sgIYxmNOUEXlmnRF9MxLDAsgWaY5A2TrAZuFWTZZCJhKcobsRJRLF8xVnwIYZmIwPTPrvjzj5F46n50KUD9X/5DYVyMkGQkYcJoD4Yk0IWCsEwkbxDFZ0frLD2PEYvY/5ZVkFXcI522SIsHsIoqEONpREy94Jxv9u8nt/8ljMEBO83p9yMMHSXgR/YUU/SB/8Xhb95Bx+bncBe7wYpQ+ckjhFaf/Y7rE7ybUoF/8Rd/wWc+8xm+9a1vnfD1L37xi7z00kunve93lbCa3Pk2UayNZf/77u12ndPdB3jDhFVqXxvZ7u2g5zHSMbt118gztvdpfu//OmvUFiZ/t5zc1XfLypWsbw7Tc+eNJF99mGBxFTdvvA1/c7ggGE1jCMMHR6UcXX0ufrXhxlM6rwl7BW2klxwBDHVoSiRsMnft2sZjAwfsiFBV85Tuu3uf2kIg9SIZzaCDy1hf1cw31mxgc3c7esbFbU+2cdOC+JT7m9rXxpd67ufbqhsLi/x9f0tK+hr+ReunCOHJFgwTtHUM80/bnmHUjBEsUfhq62WF125Z23RcfdmkTsPVx65HDTciXD52pkOFmiqwI1YeVUGRpSkzAMv8KkUehbGsARYsr7HnrfXG7E7L/X89fSi1w9uXdE8vrtISso//F+ZwP3rXHuQ588i5/FiAz6WeEYf0yViGTn6oB2QZJAVUL5galmkiAMl/zCl9OJXnaCKHgiDgktEUib+7ZgGf/LufEe3tpa6qlMD4GJw//eFWXu4cQVEkbnzvfCQhsAQUuRWumF92wvNJZPOk8waxnJeAS8KjyPhcMt5J7uuWZZHVDBRZQpYEEgLNtMgbFpZlkcob2HrP/rdhWrgUCTcwuZ9X+EPgK0IfGbCL33MprEwc4ZoaSZJ6d1CyoI50ZBgjMYZSbIsXMxMHw96jmY4jvMX2cOfUGIwLK8R4/ZdlgZAQqhupuBJySdCymNFu9EM7cS2/GPwhzOE+kBWMsWEsLY+p67b/mGGPrzHzGrmjh0n939sResD+eRj/bqfF46f57r+1vJtSgbt37+bnP//5CV//3Oc+x/e///3XtO93lbA63vdpcurnplSQuw/ATQtWvmHHH3n8TqxcGhBIsoJS1kR+YB9aPjctrQfTu/pS+9rIHtmBlc+gRbsYefzOKUXnnrnL4aKPM5o5j40tVVPGvaw5/8MnTLOFLvpUIWKVTGqUp0Nc0XcnqX0fmZYGPBBNMqalORBNTttPY/MiRiJbyFZ5uKjFrlWYSPe1/vInMwrXxPZN1PW9xNXFtfb6iX72PvkrfnkgzEf7fkXoyJP2iuf9DVakmZ25Y7Vcm9ojEKuiJASfnN86zWLh9s3tUwrQZyrk14a7sPJpVvhiXD1e33bnlk4ODqWoKnIXIk83BA5znvUb6lZ8EL3hQm7bvJvesSx9YznA4vBIBvw72DycmrWz0eHtQf9vN9P+N3+Pq7yM1X917EtKxrDI5OyHqmVBYIaozWvFSMZJPXc/Lj0OiopYejFSdgyAbLgJPAGC/mN1Usak6OzyqiBu4MPfeobihha+8KFLuf2GViRJ4pndA7x0aAhJljEME0yLgFch5FK4cmE5HkU+/lQASGZyqJgEZIt+zSCjGSwqU/AcN9ImmcmRzBuARUXQyzm1IRI5jaBHIZ7JE/bKjGQMXAJkr8qR0TQBZHK6QTStURk8JpwMXcdQvShjEchnMI68ilgYRLh9WKaJZZlIwRJIjaJU1R8TVfEhrKEjkLfH6qC4C+7twu1FG+hCH+zBs/g8lLJ6MA2EOp6CDJZixgawhnvQBw6jdR8AlwelqAQrbYsjuX4JmZ5uUn1RJI9KMBAALY+Rt+0rLMvCpWSY95e3YmVTFC9ZRNkls9u4nE0op5AKPN6K4+1KdXU1zz33HAsXztzY8Pzzz1NdXT3ja7PxrhFWbZEONsdjbLj05hkfereuXvWGpgCB8UFWEqhu5GAFRiJq1wcEK5CXXjdr+iixfROWnkV4AmAaDCVzfHtzOzdUXsLcFbZgrF20vmAdsO17v2L01YfJlc/lruI5BTPPmxevnXIPwlfeSvhKe7xNNVD7y9uJv/QgkYGtVH3sWwVx1dYxzJFcBGSDYREp2CMoh1+k94VfMc/UKFJylBo93NP7FCvmFBWOc9OClTMK14n5gr7yeaytaKTuyDZ+ll5u1zSF13BpA/w2vZxtWzp5NZLAp0qkx8dj2PdrzQk7Hm8IHOa83G+oC3wQaGFTe4T7dg3wdEeUb25YCsD9iVoWFc9l8Yp1fONCOxp255bO8Y6mY1/NXPsfpvbos7j2+7nwsuu5qbWOf3rsAH1jGWQhqCrysDPewYuHo8DsnY0OZz/Jgx0A5IeiyKuvQY0eRq6sJ+cNYGW1Mx6pAsjseQmiPRAqBl3DMAURtQJNqEimTmRYY6GUI+y3BUFF0E1WN0hrJovKA1z11/cSOdSPryTMr3cpfPZanUP9UT7+9ccA8AT91NWWcO3iKrxumaFkDs9Jh+ra0kQS9h+vIpHUTBSXiSyOdcqZugZItm+nnsfn9uJzyaRzmv1bNG48GfCqVBR5WVQR5MlDQ7jHj53VDDzjheOaYWGpPvTwXJQDz9jLunZi1S2H8ZmArks+iohHcRk62b0v4WpqwUrFYNyJHSGQy+pQVbftv5XPMXLPv4JpYIwNE1j/Piwth2maSG4vVi6D9mobGDpGYszePlCMlYgCAiQZuaKR5NEUXY/uxVPqZ+Gccjt9KEmkBscwchrZ0TSya5CSc1ZRde3bw2JhMhIwm7H6O0NWwZe+9CU+//nP8/LLL/Oe97yHyspKhBBEIhEeffRRfvSjH/Htb3/7Ne37XSOsJoqX4a176JVecYv9DwG5yEGMowcAQbCinr/8k5tOui0ci7hNDER+YFyAsGguX1tVbEen9m1hzfkfhlSIH0QXMd99DgcrbBExZUbfSe6BGm60CztHekls31QQVpvaI6iJasIhwbxQqHA/z3vhV4Q6nqe/cgFy48W0SV56k4kp8/1WhOpp1gyebTdYETo26mWa19aFH2VNxzDbduzg4Fg7ev8+triqSIfn4VMl1jaWoshSQUzNJKgmUoh1I71UpHYROFoGXM/Gliqe7ogSTWl2tAu4W3NBzfl8SvFz4fj2t6xtYkd/nIF4tlCc/oPoIhbLg7hda0h3DHP3th4QgjnFXlbW2BGErcMllHmUE3Y2Orw9sHSd3n//KvQcZs4N11G6di3eqiqosr/4yJMmDPtcJ69NOl1kYWDmMxgpGTHvHIziSrTxAIxuKYA20XAG2IXiDaXHnME7um3bgXwmBarEe7/5NCurbXNK1SXz/z5+Du8/v5FYRuOXO/sASOY0zplTgm5YhLwqXtex6JXf4yaZzWEKicWVQTpHUgxnNHYPJrEQXDI3TE43iWtgYeESBhlDxqXppDWT7tE0JV4FywLDssjpFrppokgS9SEvkUQWWRIFgTVxTZZlYUkyuP320GOX3y5WH1/HzGWQo4dJvPAUZjpFvn4BwSs/iikEhGuRiisL0SghBJYkkRrO4nJb+Dx+zNEI2vZHsEwT05JxLTnfto8A1Ja1KHMWYA13gzCxfEFMUyBUN8lhnXw8Sz6exaheAYOHGNm7HT2dw9AMop0xRrf8HPg5xYvmUbxo/hn86XjjeTc5r998882Ew2G+9a1v8YMf/ABjPIUsyzKrV6/mnnvu4cMfnl5nfCq8a4TVTK39bzaT048H/z87/GgB7VqenkjHrIJvYvu2jmE2ZSPoHhNffITGEu+UYcSba1qwIs1sEUvYX7+Cb753KTtj3eR3v8LakZ3sz+W4scdfqNuaoGDpcGQHRS4PcqBsSkH95AgR/lihiF05/yP0ArXnf4T7oss50LGXOVJiyr3e1B7h8YPRQqH3iYrp2yIdbB5uR5TGWP7CA6we6aQynOAPDdcQSeZRZKkwn+9EjDx2J6k9j+GpW0FgxTWFa1jfHOabG5YW0oEAvdoiRDA65VzXN4dZWVPEcCpfOPctYgn7G1fwzUuWFhzYa4s9fHPD0kKasbbdawu+Kqcb8O2MNjJErvMAElC+qonyq6faGggh8LvPXPpvMq65y9APvYIlZFSvF+Xgc3ga16JbFl6XTInfTZn/xMe+48+u4ocP76LXcKO6FHTNoCeh8a+fv4hf7xnk1weGWL2wgkReR5UFmmHhlmUGxmyBE8vkWTzJx0oIQdBr24cY4zVeFlDsUdgfTaObFr2xDOp4gNdCkNEMMppJ+1CalGaim5YtroCMptM7mqYxHKC5LIAsLNKayVAyR0XQPo7bpWKaJsKlQMvFkEtjCQVyKUiPgeLCyqewTLPglYWQEJ4ActW8KffD0nLkX36E+MEu2n/ShhLwc+mt/xcr1je+mYQR6UHklyIVlYJpIAVDCLcXS3VDNgFCYuTBe6loWoG3ogRJkZBcMvGeGN3/eT/BKi+SLGEhMV5Ihuxx4yoJnYkfiTcV9RQMQmd7/e3EjTfeyI033oimaUSjdrahrKwMVX19X5jeNcLqZGNS3mwGfvbnaLF+hLeY/pI6flq1lMZJ0Z3ZmLAXMEyL4VSeZztH+PR5dkpNmpjlFw4BFCI7mzZHOO9wH8tz+4nlc/ysbA6kigsCp61jmP/V9gQRBpA8dXx4/rXsTIdY8eSvWIwt6qZGiMKF820DXlT8VNW3sLFy0nEnCYyJzrqJf5+IicjispIqmoSFz9RZ5ZeZt7ZpiiC6Y88z3HNwG5+c3zq9i1AAWMhF5VR99BtTXjo+yrW++Vix+UQNVmOJXe+xvMbuVWos8XLD8moaS7zcuaWToWSONeMeVoUxPKcwQsfh7YFaXkXoio3k+rooXv/eN/XYcria4Ef/Gss00dvbQEBRrAuttB7TMinzu06agrz+wgVcf+EC/uJ7j9J2JIanuJhrV9YQHK9hyukmjx4Y4uLmMKurixHCwq8qpDUTEwvLgkcPDhJyK7TWlRSOpRkmoxmNoFshmdMJqDLn1BShyhIeVSKWyRNySfhdClnDQpElpPGc0lBao6bIg2Zo49Eo+1yTOZ1Y1o4SjGW1grASQiDLx6JmmsuHkRpDGRtASgxhSTJmoByCZfgvvBITN67GxTPeD+3VpzGO7MbvgtKFVYzsj2Dl8kjVzUhjUbS+g7iWrUeUNyHlbCsIqbjcPo+SOSR3v8zYtpdI7j+E//BBMjueJjjH/lw4/N0foGd0TE1n7p98nJJLriLxqT+hzKWw8s5/x1tZ/hp/Ct467JTvbF2Bb9LJvImoqvqa66lm4rSFlWmaM44FME2T3t5e6uvrZ9jqreVE7uMnMp18oxnb+ivIJRHBClx//jsax8/hVJkQF9t7Y0THoyozja+ZfK0bW6rYOnQdetxNO9W40hUwSQdsao8w0B9A8xWzrXQ+m8bcfKj7u8yzdpAIeU/q8zU5zfr18zbMKDAmhIdtXPoYd+4omxYxg6mRxaY9y0klj+Iva2DVxPYdw9y+uZ0Hsy9wJBPlnoPbpgmr0stvQS2tnWZfMRsTNVhZTcejKrgViZ39tpfOvZ9s5fbN7fx+/xB53WDDaxw79G7m7fLZIYSg7H0ff2vPQZKgrBaEwJPPYmopskrR7BuO88sHX2TBJRcgyTIv947x2fXN7BtMkDMsqos91BR56NRSuBSFprCPXf1jSEhYgEeWiOd0Ioks1UVeNMNkR18MwwJVgjKfC69iG35qhsGcYi9lfnchnecfT9kFXVl0w6Ku2INXlRnNaEgC5owPL59ceB/yKif8+chrGkLICN3+rBOmAboObheiqhm8JWTiUaSxKEpxBarbPflOwriYq9iwkXnLV+EqtYvd1SUXoi65sLCmNf98QGBlMwz/9O+xtDxyVRPJA/tRfB6svW24iv1o6TwaQcz+LIaWo3TtWmpu+iySqnLBw/eDaaIWF/N2RDqFVOA7xW5hNjo6OvjsZz/LE088cdrbnrKwisfjfOYzn+H++++nqKiIz3/+83zlK18pfLMYGhqiqampkKc8W2jrGOa2zbuJpuyix8kRmttebGNY2I7am17MvuYZfadL8ZqPMLb1VxSv+QiLXkMkbf0kkTE5ijM54jIxaHlqROUm4Cb8HcM0TdoOJkeU7JqArWNHeVQ9j0qPm9bjBEpbx/AUY8zZ0qyTz+vO7ofpyvfhzoapbZ9+vydHFlMzCKSJaF1NQyMEDIpcbtqOS6Me3/E5mRONBGrrGGZ7b4x4VgMBtX6VIrdSSAdO3KMH9hwlEs+edF8OU3k7fXaYponZvw+EhFzRdKxrDMhpui26ZXCproJ30huNUN0If5iwKp9ywfxXPn05v9hvp7FSaQ23IvHFi+fxbEcUMa5nWqqPPfwN00KRLEzLzmYJBHndXjGn6RMZLnQTStwSmmWnBHOageqRC4XnOd0ozAfMGSZeVcKwLEI+FwG3giTZPkmWZeFRBPUlXjA0VHSSKQO3lsBVUjXlOlVFJW+BHqzE2LcdPT6G0tCC74L3Ek1mMJMpSk17JE0mOQZKWaGzTV1yAbg9SKFK5s45+WgZIdvpn1x/F0bMTgupsW5qLzsP4XYjSTpVN9zI3u/8nHRnF4pikbdg/pe/jDSeOlKDwRPu/+3Auy0VeDKSySRPP/30a9r2lIXV3/7t37Jz505+9rOfEYvF+Md//Edefvll/ud//geXy875W5OKOt8sZnu4TdTDlPnVKQLkts276dX81NZVYSXKeLhj+ly4N4rqT/w71Z/499e1j5micBOiY3Ln3MTy6SLrOEEzaVlbxzA7+sfYJ1bw7KL3sEJtYtPmY+Nqjq+X+saGqRG/489t8nkNeLLgEVQHj5loTkQOP6CnmHtk2xQ7jOPf04ltNrYsZ/Owm/u6dnH71s18Y82GUxKoe5+5m9zuR3AnY7RO2vem9gg7BxIYFswP+7iptY5nO0e4fL67MLZmfXOY//jQCja1R1iZfZXn7vh7/HoMVywzZV8OUzlbPztmwujcjjXYBYrLnsVXVI4Z6cDMJUmVzseSZNKajpQYQgnPQYg3UFxJMpg6SArFvtOr6br5A+fT9eudPHMwyopFtoDaOxDnf//PbubPKeLxzmFaa0NcP/77tHJOiGgqh0eWGEzlkSVB7XhkyaMq1ARdDKU1Sj0KhmV7GZkWqLJMOq/jVWWyukFkzJ4H2D6YYllNEZYF1eMpvslt+qPpPLFM3o6ASRkkxY0lbKd5tBxMmg3oUhVcqoIplTFypNMe57PsIgBMy8IUMllcSJZORxJyyVFW1oTwqDLCE8DVMrPlgZnPYsb6QXEjl9QghMAc6YfuV1CKgli6jur3IWTJ9hQDFK+H8MWXkO68GwT4Sj1E7rmTxCtbKb38amo+dfNpvU9nG+8mg9DvfOc7J329r6/vNe/7lIXV7373O+6++24uueQSAN7//vdz7bXXcv3117N582aAN6T9eDaiz7QR73CTS7bNKKyOPYinCpBoSqPWX8k3z7M75japkZPW/pxNpPa1Eb/nn1kYz7J16I/HI1HHrnVyxGqmYcJ3PHOYu7f1cFNrHbeumztt/7aAWFkQR199divPjxxk++h8nmi+ZtZ6qa/+YR/PHxlle2+MJ25eO+W8nh3UEcEoNy9vLdRgTaQSz+vaQqC/nbaBQ1SF5rC+qnlaunaKKPS38PRAB73psVMWV0+Wz8MMH0AqnzclbTr5mm4Zr+eaaZbgxPHv/Yd/RcoME5GK6HCtmbIvh6mcbZ8dpqFjaHlk1YUkH/cROOGBZOjgLcIc6sbss9Pcir8CzVOCamTBNMYNJt+481QqGrG03JSo2any9P5B9g3EWVjh56/eazfKTAibcNDe34Fokt+1D1Dmc7G2sZTqIltIFXlV8rpZqKVRZIm60gC1JRb9oykSeROvIgh6XAwmsmiGid+tEHDb91II26t8LKOzouZYVCyfSWNqWSSXB82wd66bIE1YhFoWiiRAddvvUTZt7yuTQGhp5OJKSm/6MmYqjlJhj6wp9XvJ6wZeNcBAIksmk8arSCQyOTzqzPMF7UOZ6LEIUj4D+Qz4S8DtwxzqRlgm3vJSME2wIDM8hlTRQGDpSpTG5TSuuAx3VRUH//n/4in1ktj2PACjTz/2thdWQhzrBzjZOu8EvvjFL1JdXV34cnc8+Xx+xuWnwikLq2g0SkNDQ+H/4XCYRx99lKuuuoprrrmGH/3oR6/5JF4PhudCTE8cwzNz/cH642pzNrZUTXmITl7nbGdidmCk5zC1Qy9QY1mY+SWALaxOdB1VQ9u4tO/XBcPPu7f1sDuS4O5tPVOE1eTo3/rxYnWA/rY+dN8w/ab9QXWuew93NWzmbrWF//Xyk9Rsa+SrrZcV1u+L59AMi229Y9x4zzZuWdtU6OS7lelCbiKFWFtVx74XfsV/B6oLxfxbX/hvync9xNbl17D+fV+est2Es/vtWzcTzaW4a++WWWvm1pz/YTbXtExLW57o3k0Wjnc8c5jvbuliTpGbP154NZ05nf3lF3P9JdfNeCwHm7PpsyOvGfzxP/+GzsgYP/jzq1i2qHHK68rcVRhHOxGhSoRpYI3PjrOEhFtL4i8Og6Qi/BWICc+kNwghBGJS5OZU2NE1Qs9wiv/eE6G41MtgLMtjewZ577JqFlUF+cEnzqEvnmUsp+NSJLpiGY7EMiyuCBD2uzFNk4ODSQzL7vyrLTkmToQQVId8JLIaqiKTyutEkjkUSeBSBD6XB79LYf9QEo8qUxc6ZvqZ1w1GciYyKv5cjiJvEFWW8Koyiinbpp8uD1IwBGCP8tE1LC1rO6dLCmb/PqS5rZCLo/ftQwrXonoChbRfZcBNPq9T7rcfa5quI4RAkqSZoyyKG0tLIyQVxsWrVLcYMzWGWjUPVA9jr2wl07sfeiMUX/tJex6grqNKKeb+8QcYffoJLDt3SviymYdiv514N9ktNDQ08P/+3/87oaXCjh07WL169YyvzcYpC6u6ujr27t1LU9OxSd3BYJBHHnmEK6+8kve///2v6QReL+UXrUItGSLUcvIOjDu3dPLYwSi9sQz3frK1EMmZ8DOaqbj9bGNidmA/dVB+PivmFFN66UcATuiyvr45zIIXd5E8+CSJ7XYR+k2tdYWI1fH7nxj5M/H/4KqN3LK8lbsPKAVzz8d3b+L+gS6eUCy6dIluLcOm9iWFe/eFtY3802MHSOQMHjsYPam9Akytq2qbe96UYv5Lhw6RG+7CPXRo2napfW0s2L6Jf29o5X8UP72pGA/37qM3dcwKglRoynt7qt2hMwmtu7f10DGcons0zaraZXzjHz8y634czq7Pjj1HhvjDti4AfvvcoWnCSrh9KPUt5Hc9iTZwCKmsFnnZZewZ0cnqFvN0ieLkCCgqlqvuLYnSn4iuwSQf/fYzKIrEihVV9kgYIagP2+LolZ5RdvfHuWpJJZVBD31jGSLJHOU+Fy90j3JJcxleRSr4ZGW1YzVvr/TG6E9kWVVTjCwJ4nmNvK6jmRaaaeFTVR7c0c93Hj/An1+7GEkIXjgyypr6EsJ+F1nNwEKgI0hbMqlElvpS//j9m/4YkhQXhq4hFDfk07bVgjcIho6IDdhia6gL6pYWtpElwZyQl7xm19MauoGFBaaOKx5BlDchLANkFSEklOJyrEAJkuouvI+SrxjXOceMPYPuEPrIMN6FK5DcHizTJPKt/4/4/sMgCXwLF5Lp7CSwbBVVf/S5M/uGvgVMGMHOts47gdWrV/Pyyy+fUFhN+Km9Fk5ZWF155ZX85Cc/4ZprrpmyPBAI8Ic//IH3vOc9r+kEToW2SAd37d3CwfgQKV3jlsVrC51gwab/n70/j5OsLs/+8ffnLLVXdfVevU33TM/ezMYM68AAsiigM6hRNHkEjdEYCDGCmhh/SdTEJL8ouCA80ScmQmJUEowzrLIIMzDAwMCsPXtPL9N7d3VX1151ls/3j1NV09swC7tyvV7N0FWnzlbV51x139d9XeUE584ecjld3D358zC5RXjX1k4ePTDMg/sG+X8fmTmp9nZBMTtwwnUeiy99P02F/Uwd2MLgf30BK3oMu3YRm+qnVmwmR/kA3HLxvFlbgMFVG+iNZfjf9HLOeuAefF1PcKTrACs+9X22r/4UWwY7+OKLm+i269mjQ4O/EtXQqJctUyo7t1w8jxX1ZTzw4P0sGtnM0sDHgKkVohNp4yYTnztf3sEL+Wo+0HAOx6rnk54kUt/SEWXgv3/MvOgW9ncd4JV5n2RCj2FJm5Fskm1DfTzdEaXVWMaeQWey77W+rzeuaSJRqFi9U9rGbwe8VdcOKSUDExnGswZzwl6CHhdtLdVcc/4COvrH+OjlK2YsnzYsPJqK1XvAcT4f6kKuuIqs6cSaxGPjBAcPgBAI3YNaVvOG7PuZoGhvYBg2/cMprloW4cNXLWZrZ5S/f/wgOdNGStg9EOfb1y2joczLNYtq2d4bI285Yc5NYS+1QReJnEltsOhfJekuVPh3D0wwkXMI17LaIB5VoCiC53tj/N0v95DJW8TTBmG/i5xl0zmWotLvwufSyJsWedMibTsVJimntpVsWzKadFqxVQEPeqFaJ6VEmDnQPZhdexBGDqHpIKWTn1gYIjAMA8u2UbERuSTS5QPVWY74EHZqHJLjiMom1MYlTht4eit4GtwtC4jc/LfHHzByyEyK4gHUXvcxAivPew3v2tsLv0utwG984xuk0+kTPr906VI6OzvPaN2nTKy+/vWv09/fP+tzwWCQJ554gpdffvmMduJEKGqBypp72J05TCyfAURpxP6ENgqFx3eMd7M72UmvsZib164EYCSV4/p7t3PR3Iop2zJsyWA8x11bO6dMvL2dSNZkS4XJrU3fUz/HGh7ADlSiLL/mjE1Q/YvX8a0XfTxxeJR14iyW+TvZ6o2wqtCWm+wx9f6F81+15bautRKfbxu5xBZcHR54zwdKz20Z7GDw4dtZ3N9e2u5suOfQTtpdHp4MrqHSVhkq7MeWwQ5ufXELEVq5LDTIw94Iz43vw9Kz+F0qKyvq6RvUOdzvIVSRY1kkSG8sw5aO6Gt6P09ESN/Fq+PNvHZkB4fo/dkvKFu3jqGGFo6OOTfqrGGxvD7M44dHuf6Da3nv4hq0wg15/1CCB9sHWVgToLncg1tTmBeZB+k4SnUjDBwi4Kona0pCbg0qGpBuH1Yuy0QiTd6SlPndePW31hZwTpWf/7jlIu7e0kF5mZu51UEOjST52cu9gDPN5XOp1AaOa7bqQp6Sb1tdyCEyVQEPVYHj61UVwZKaALsG4owknfw/IQS3P3mYkFvjkxc20zmepqbCS9dAkq37hrhqtZP9ObfCqZZpqkJV0Esub2CapkNMJ92gnaBmk0yhSpY2TAKFPEIhBLi8SNvCPLgNoWoIrx/VH3LIU3Uzdi6DhVKItBGo+QwyGweXD5FLgWlgHNqBWlWPiPZhpLK4F6487YqjcHup+ugfoW/5Ne7Fq3+rSBX8btktLF269FWf13V9ioThdHDKV4Ly8nLKy2evDIHz7fOSSy45o504Ee7ZfozdA3ECGY25i6pQGcOtadywwJEKT89+mz4dZ1f3QWAMERxlXWsld23t5IXuGLoi2NkfJ5rKs6MvBhKCbhW35mRn7R5InNQh/M3CiYTmk0XpEdd5WN4R1CXv50vXzYzGmdzi8y9e96r+XSNymEzFYbq983BVf5Xqgiv5lsEOelMxIl7nijvba6dXoYpC8Wiglp8XcgVXx/oYfPh2uuOjRKSkobIFmH0y8MaFK7lrfwq/z2ZBebhEGO/ev5UjRgfJeRHeu/ifqI4eomx/kvH8KGWKh5uWrOWuY+OMZEep9rtpDHtLbd+3+v38XcSbee049I//zOhTzxAYGcP/Z18oOYVrimDfUIInDo0QcKksrfEzp8KPqig8fmiE3oksuXyeq+qc/VTPugT6DziTYkYGQ3UIRtzWCHj8znoLbQKXKuiPZWitfmtG7cfTeWJZg5ZyH2taK/m31kq2dIzynwVCVRlwEUsblPtcfHhFPR8467gRoqYIIgE3E1mDiUyecq+L7vE0hmUzp9xXslFYWB3g8UPDGJbjUfVKzzjd0bQjNkfg1RU+cslcLm2upKnCN4WwjCRz9E9kWFZf5lSfCs+Np3PoqorfpTIwkUaVNhWaJGWreDQVaZnIxCjSNCCfQ9TOdXRt0kZmkki31zELHTiEFaxBSKePpWQTCNtAam5EPuNYRxzaAYCdzZHetxVrIobiC+BqOv3IGffic6hZfM4Zvltvb/wutQLfSLytnddvXNPE3/76IJl4iM6BKGVVHs4rn0fXkQq2uKOl7LfeiSyf+e+drKwv4+a1c49PoTWE6baO0aw2cdumdkaSOYQAVQG/rjAK9E1kGU0ZpPMmfhdUB9xcvsDNSDL3ulQ5XitmE5pv6YjSG8uwLBIsHOv72Vi95oTtqaPNa+gdOEJj8xoiOMTkif7D9KZiM8hRTV0CH3EW1mX5+VXH/aO++OImzMPPcc3QAZ6vXcymSXmDxQrhFQfvIdT9NO6C/UDEG2BYqMTyGbYWDEQXdmxm7rGd+C0br6pgRLtg0j4t6d1Ozbjz2C0fv52t8T082nuIVFqBOeHS/uiqYGV9yAnPZhXXD27nycOjnB+uAkBEOrjCX8XNK+eidT83JYz5Xfz2wtfUQOMli6lt0zmQyhD2aIxnDBZX+5nI2bhUhQ1Lq0nlLZ45OkalT+f8OWEGJrJc3lpGyaJnpAtpZJ1KiduHCwsDFV1TGKMMl5UlqQTw2JK8JXmuewwhFOZV+V91/15vDCWy/Ml9OzEtyWfWzi3ZJ5i2Q4B0VeHDK+t5vmucy1orubZtprt0POdokhJZA5eqMJEx0FVBImeWiFXWsEtegKoiWDuvigqPzlmNYXYNxKn0usjkLXYPJWis8CFwrBB6xtP8zcP7yZk2F7dW8sk1jZiWE3MzkbMQQmD5XEgJJgoWNpVeBRULa7gLmc9i7n3GmRhceC76JR8j/9i/gbSxhIriK3Oc3BUNAQVvNOnk3Zs5hJHFNixw+5CZJHjDyEwa1etFuL0zzsXvOqZGz594mXfx6nhbE6tbLp7Hs51jbGofJDdWjtvvZucBnRfiA/TGMjSGvSUh9v6hJD3jjg7gFzesKU0CdrW7eDaWYc/gMMsiQRrLvAwmciAEcyu8tJT72DOYwB/2sKA6UGr/3bap/S2vcqQObOHvzHv5z8AKzl9zfPLsrq2dPHl4lMsXVLGutdIRcac2EjQ2ADPbar/U/DzSsparJwUNn+iP46bla2gMe2e0E9fPaWPw2R9TO3KIpJFjfPlxgWexejaYW8EyPY5asB9wtz/BssF9hF1eQksuY/2cNoKhMJ0DR9hmSc5TBUsnmX8K4OCcVVw7Z2lJDzaSTZIy83Tno9z64ibu8K/jpiVrafSHp+zjRXMr6IimuGhuBZt69rIn2c3VTU7FcftvfkXj6G9wdWjcqbe9qtXEu3hnY96tnyf533cgcincB5+lo3YNC8o0pGkQ1gTfWFtB3uXj5UEnHNiSktYqP//4/qXEU1ly+STufByycfAEsH3lIAQhW2AIBU0VmMLHkPSgIwi5Xfzl/+4hljEYSxl8/pL5J9/J1xGP7htiLJ5DUwUdo0kAYhmDl/snaKn201Yb4NymcpKmTU5KDMsuTdGBU3WbyJhoqkBXFQ6PpkjkTLyaQth7PC/NoyvUBtwMJXOsbgizdm4FYk0Tjx0aJp23CLg0PKrCQCJH3rLxaCr7hxPs7o9jWI6n3mgqj6IKLNNp7+mKwJLg1VWSWWe0XRM2quZCZgs6pkJrz6k7goz2Y+VyCEXAxChKVzta8xKktBzNm8eH8AUx+g4gsgmk5oLRLtRwFVTWoy48GwacL3kyPY7RMYxaOxclcOKK6u8SVCFQT1KS+m2ZCnwj8bYmVuDcMHf2x/HrAVJDNs3jr3BZbhvPpM/nh54IjU1p3te2hKNRhbzlhHkWtUfFG34k4MKnKyVd1aMHhjkymkIAiZyFqggWVAdKhngwVdz+ViGxYyMLos9x+4owkWkkQE5bbnKrbzrWz2mjtr+dy3ZtJBUKz0pMiiiKx1MHtjD41N0crb2U+5Pz2NAWofH8j/F4bJhHK1owh7pKrynaVwwkV2M2X8hFbSpffHETK9qu4GA2yaOBBjKdOdZXhnlZD3N/858hgqMMNdbzt/Fx1g92sLZ2Lh3xKE0L1hApDCZsGezgSDyKAFxui6gYZFNPO98+dz3g+F/tGuunOznOK0c1OscU/nfPANW1fpYFm0vHN9m76hcnsJp4IzHdqf7dduQbB0VR8a6+nPzuzSxSYyzs/G8sU5KbswJ3UzMqNu7UURrCS7AUBcW28A8fwFIFuWAzUnhw2xPgKwehYAoNw5YkLYFPBxBoCgRdKj6Xil9XWFgdYO9AnIvmvfnva8eIQ6ZMS/Kxsx1dU95yPKi0gst5XzyLZUtiWZN4zqRyktmoLSGWdQKZPZqKWbBY1zVlCgFThOBzF7ZgWpK8kWcilSFjweLqAJ1jaQzbUaIfi2UYSuRoLvdhWhKXpnDZohrypsVVC6oYjufwu5RCRQuGUwaaqlKj5kFKhGlgj0YR3pBThdJAO+/9KPkcSmQeiaf+l2xXj7OPQR+W8TzBtrWQyyKljYyPYCdGITaMPTEM7uMVRKV2LjJ33GbH2rcVxePD6tyN6z2fQHkD7TMsw8DM50BVcbk9b6tp0slQCj8nW+ZdvDre9sSqazyDqjiTJznT5r3Wi6zJbSeVN3m89VIGmeDZqEbI04Rt2+zsj7N/2LnYTM7U6xzL8L97BgCnlF0USTaE3KxqDNMby/DIgWEn3qYgiC96L70WvFrMzMkwfZqviJvXzqUx7C0d34mWm4zmoy8gj+3kqYGDROoW8fWLb8T/Km7piR0bGd7+AM+LY/w08Gk2d4wyv01h85L3gpT81YLjlphFd/U9gwlWNYbptjqc7MDGxWxuez87xvoRiVe4a2cFjXqEPR0KVy8+i+5kRyljECBtGXQnx0u/b+ppZyKfQVcU1tTUsaqy4bjOavd2nhg4RJXXQ842iaZ08uU6RzINDHZUEqkNcmt0CzcujE/xrvJUilmtJt5I3LW1kwf2DaEX3KxP9v6/G5Xz2iDqWnFhYw11YcdGSR/rh55jyEUr8NdVg5SEpZto5QJ8xgR6zpn4C/iSZFzlIMDyhLElbIvieDq5nRw7XXXaa4Zts3sgQV8ixzVtEf7iilePSzkZZDaJbeaRnhC2baOq6pQg4hPh+tVNjCRyXDC3kkhhiq/K72J1Q5ixjMFFLZXoqiCWMSjz6FR4deyCNkwpVCdaK73YtqN9qvRq6AEXNcHjAvfxVJ5/23KURXVBrl1RTzrrVKCkbTGUMBlK5vC5VNKFacHitbWxzMuBkSQhr87i6nL8Lo28ZZPM21i20yrMGBbJdIZaVwqEimJmwTaR6XGU1JizA6EalPr5WIkJki88iVYQtUvbdnylLAtpmQDYsUGEtBFuH1JRHZsG20bUNCN0DeENgFBA2scnAoWAUxirl9IGxBmRItPIARLbMEnJPAHvq5u+5g+8gB0dwLXyPSj+Ny93UIiTH9/blRSeCQzD4KqrruKHP/whCxe+tr/hyThlYnXfffdx3XXXlVxKu7q6aGpqKv3xp9NpfvCDH/DlL3/5dds5cNy6fbrC2pYKGsde4TI9D9UryHmuZpm7lqjRj52rYF6ll519ceJZE7cmMC27RBR6YxkECfriOUZTeSwJc8p9rKwP8fnGAeYN/ZKjjZdyf3heiWDB6xNvc9fWTh45MFww0VMY7vgNZa0HWXj29XgbZ49aAMj0PkN26AHKLr5uxnJFj6XUgS0M/sy5AUc+fnvp+RKZa8jTbR2jNxXDDNRxQcUE/uQo7p0Psh9KMSyT8xR7jUE2RVN8qHkNx46M8lR2BUjJaMqgNVHFH7SePUW4XhSdtzQ0cTU1bGiLoA3t5tyurTRGmmhesIajLz9OTtiI4CgbWlcCBdLrd24Ekytn0/+/NxUD4KYla6dounYe0DEI45MVxDITGFYSJTTOgooKVmo1PBR9js5UN99sH+C+hutLVa51EU6rUhV97E5iz/6E8EWfpPKqW075dZPfh5FkztF/KM7n8rZJ8UCzIbFjI/EX/4fU/qeJ/P533vHk6s2+dkRNDXeoAVdZPWplE2Lgv5H5HPb4INTVABJPNka5ZuPVg9h5D5bqJuMux+3SQY9gi0KEiZLEsiSmLcnkJXVBHSEEGSPPSNppX3XH0iyrO/WA5OmQRpbc2CATvgh6OouCYDyXQ9dVIiFvQSA+E6PJHE8fHuFja5q4ZIHj45czbfpiGdbNq2RX3wQ/ebGHKxdVc/l85/m8adMzngIJTWUusAxypo1e2IYqnPagaUnQ4X9eOsZPnjnKSCLHkpZyRnMG150VIZU3mcjagERVBIYl8bpUrjsrwqLqAIZlk8gZzKvwEcuazK3wogpBPGOgCojnLNKGjSnB43YjRAZsC+EPI9MTCF/IIUVmDlGoOgmXCzQXVj6Pe+4i/Oe9B71+HvbQEXD5QfciNTfkUs46FBUpFIQmUIUNySiWZeO+4kZHb+UJYB18Aa1u/kwH/mnIHd6Fsf1hUBR81/4xSiB8Su+tYdnEMgbuXApT85EyQebySEUl6J59m3ZqgiP3/ZQj7f1c+Id5qt57/Slt6/WAqjg/J1vmtwW6rrN3797XnSyeMrH6+Mc/zsDAADU1jm/L8uXL2blzJ/PmOTepRCLBV77yldedWHWNZ0gbNpqq8AnfbpLjBwmsuIZvffyz3LapnX99QWfYsqkOpMiZNpoqCHp0tnaNkTbsksP65QuqiATdPHpwmIYyD1+7ajHrWisZ/NltJHc9zLwVcPvHPzDD++r1gGHZ2NJ54+ZnNpPp2kW6zEvyiEX05cNUrl5AdSHuo4h0xyYyXb8GKBGr6ZWME7UAS9l8qS4y7hGWlUdoWXkNxzLXsW/n/awdbcc3KdJlY/sgvRNZkJKy6DNUt29h6/JrOO/372BR+yCtls3WrjEuqmnilnOnkpJNPe389PBOpLWXj0XWsbEdPt73DGcPHyLQvZ0LL/w4HfFRfnF0J5GQa5rxZuUU8fx0If2JzDw3tg+SjYdY4K+kVfEzFo3hLj+GNzTKdYtbuGVpGy0v5/lm+whCNdlUsGk4E8Se/Qm5vr3Env3JaROrUis66CLoVkGI0ucSTkzcg6s2kNr/NFZylMSOje94YvVmXjuklIxnLcCPX1epjagEP/QZ7IkxXGVlMHAYKz6GZgxQVlaJrG7GiiwhZQnyliSXcchS0OUIoMs9GghBS9iLEE4gMUBlwE1bTZCBZI4lNa91GlAQ10IMpa3Cb06rXxg2AhjPmNhSsrDaj2eSpcO923p4qH2Q/93Zz9lNYYIenT+7bwdHRlJ8aEU9XfEsE1mT8Uyer7/PIX550yoVZ2zTQEFS7RYM5yQKNnph/ZZtY9o2//zIfmxb0lof4uwFlSQsm/bhFOVeHcOWeDSFeRU+cpZNW22oRBaGk1lGknlMW1LmUjk4nCQScETqiqYwp9zL0HiSgCKo0zJoZQ1OK1BRIOj8XUh/BVhGKdJHcXup/dNvYMVj6JHj5qx2Nok62OFUnsobYHwAFN2xxcjnsGvnoo51OevUXAhvyMmBBNTV7zuld8g4ugtFc8i22XMA19LzT+l1/RMZUnkLgYew4kT4JAybWDRFa5Ufv2vmLVjqXv7lHx8lnzUYzPj57JtIrH4XW4E33HADP/7xj/mnf/qn122dp0yspjuQvlmhqZO1To4427nxbOmIsqM3Vpj/cASbCEGN38UFzeVcNLeCrvEMO3pj7BpIcMWCKjRVQVUUqmuybIpuBX8bqwvts6O1l/KtSZE3RUf2ogj+TJ3ZP984wJWHfs7B6kt4WW9D6bPQx8ex5pqMHTpMZsRL9OXDM4iVr3X9lH8BDm68Aw4/hdi/jbol56FXthBYcc2MFuD0qchihelbP76HqmOD7J+7jj8+/7jbbEu5t+TWd+7AQZaMOU7nawok6LZN7aQNm67CcMBku4b1c9r4zwN7Gc+n+XnHbtYO5hkwjlLbuLx0Th/NHiFmZNk6SZf1WjBd/9YYHqTPE2VPUrK1t59nt28H4KttV5eO/0wRvuiTpYrVme7njt4YGcMmEnJz45qmUkv4RPAvXkfk979TItHvdLyZ1w4hBFV+N4mcQYXfjWJaEAStqh57vA8hJZgGePwouSS2kUd6Pei2TR7nS1BnzKkw1vp1XKrClqNRXlIUPrzs+Hu2dzBBKm8RcmscHUvh0RXCHp1YxsCyJZV+1yl/Cxa6G48KLcluUlqAuFaOVBWEEIyn8wWiCAeGkyyr9mDZEqHpLKgJQDvUlXmcEGTDQnepXLK0lsNjKfwep2V2TtNxYbbfrVHucwES3aVgGXnKA25S0iCZc6pXQbdCwK2jKgpXLqujIuwha1ol/yK/W2NJbRApJfuHE2gSqv0eAi6VgyNJMoZFY8jtGJICJhD2qCVhaM60GU1mCu1GN2pqxDlXk86XadsMJ7IE3Bqh4xp6VH8I1T+1Oqg2tWG7A4iyakhPYI8B1XNAdyNRGNfClFfMRbGySE8Zpi3RT5MdeFZfSfbpnyNcHrQFq075dS5VIW3naBx4Cd3MMtG0mgQOET/Rp0PRdcoa6xk50k3FwkWnt6OvEb9rrUBwMgH/9V//lccff5w1a9bg90+d7L3jjjtOe51ve43V1ArHOvyL15E6sIVD//5nZJJnkdbOQlOdlHWfIshbNh3RFDevncstF8/j+nu3I0gwksoBsCwSRAQ7uP/oUZ7uiHLHuetZ9/F1fP7e7Tx5+Fhp2nByO3C2IONTxbyhpwlkXoIReLm+jbXmQbyJBOn9z1B57oZSxerOZ47yraePkDMlbbUBvvbepay7ZGoLsH8iS7UlsUZ7Se6KElhxzZQWYAn+GCLSwYqGNm6JHCdml+W3kcvu431KE2smVXCeHe4kU3mYOhpYetaNzBtqnnJDn05kikahAOsr1/KBMY15I9uorG1j0fhjBKwJnvNewS9769jWM4Asr6K5mpL/2HScrrh7etzMutZKtgx62NTj5dgxP48eHCFrWOzs9/GnVzaxqccxIt3VF+eeQzu5ceFKbll9ahfHyqtuOe1K1fT9vP7e7eiqwsr6slNuQ/oXr3vHV6reKlQF3FQVTTBdIWy3HyObhrJ65EgvqFEw8tjjgwjLQCDwKBqBxRdyYNhx6ZdALGcyOJHhN4dHAUjmTT5z/hwUBOm849g8ljZI5E0EsKK+jN4J58uHoggqJonET4ZAfhzsNP58GlcgTNR09sGjHb+JeRQws8527XyOS+aGOKf5HCp8LjRV4ZX+caqLJp9BD5VBNxfOreCqhcfd4aOpPH3xDC5VodwXxK07+1gTUMgaFjagqhpqod9z5fI6UnkLRUgCbh2XKlgWCWFLODicpMyt43Nr+F0aA/EsewcdvVoqb5KzHHuLoFtFK+jTVCCeTFBRXvC0khI1UDXjfBwYThByqcTSeVyqgkfXkNL5Gj3doFK4vNh1C8jlDdxhP2qgAjufQ+bTmELFbSSxdA+Wy4epuiGXx8o6JNqlqYS8bhTx6oRBq6oj8HtfOOX3s4hIyEOZnUTLO7rfsDGBPxJBEeCbpVoFzn585aVNDOw7wtzzVp72Nl8LFMFxy5FXWea3CXv37uXss88G4NChQ1OeO1MS+bYnVrOhOC13KSle0s9CUxSq/G4aQm764o4vVdEmoSj07o1l2DOY4OrFNWxYvoYjT6UZHQyWKlM7+yfImhY7+ye4aG7FFLfu1zIhGFy1gc1HRvlZ/Cx2DSToarmOeYnHCF1wIxUXX1qqVN3znc30TeSQwPPd47PaPFRccTNdW2tpaV1MQIxytHkN3y4Yb07WPH12yy8ZSCfpjWVKE36JHRuZ27oEI+wtVfzu2rkTERxl1JVAL4uxsq6GC9/zIeC4S/qd+57h3sPbHVLk9/DFF7fSHCjn6sbFrJ/TxsYXB2ntfomLjaPUGD1YuQHG1AruM1ehAVV+nd6Reqrz81ix2nG6zfQ+Q7pjE77W9XgbL2Zj+yBPHB5FcNyU9bnnfkbvCz+n8fyPceGFH59xXifv/03L17Au0srqWB+Huu/gKlecfxNXsTe+nHsO7STjHgHg6Y4o7clu7tpt0tXnetOyIacPG7yLNxfSdlqvCOG0l+h2Hp+IYtQvwTXaifD4yVuSo9E01QE3tpSMZUyGU46nk2VLVEXBtKEvlsaUEqREEeDVFBQomWdKHJ+104EIVGKnYuTdQUChUsmRU32U+900V6hkTAvFzCHtfPFQQNpUeN24NIcEzQl78egqUkrWNIUZzxh4dYX2wThhr4u8bTGadF4ft010NcX8qgBZwyKayhN0a6iKwAIePzwC0nGa9xTW31LhKwnkN3eMEs+aKALOaQqzs8+5fmqKc66Cbo3xTAavpuBSFSSQMyUVap5xFBKGjW07N67KgBvNMJxpPkAvq0baM89RXyyNZTuThiG3BtLC63KhqCqJdBafzGMLgdA01HAZVnoCVzaFy0pDXmB6ykDaqEYGS+goik7OsBjMp9AUhZqQl4xh0RvLEPaoeHS95DJ/phBC4A1XYUVakdkUemQe7hNoqybDFy6j9cIzCwB+LXijDELvvvtuvvWtbzEwMEBbWxvf/e53ufjiE2uMN2/ezK233kp7ezv19fV8+ctf5nOf+9zpb/gU8NRTT73u6zwtYvXrX/+asjJnQsG2bZ588kn27t0LQCwWe9137kQIrtqAP5ZhdKKNyowOOFN+R8cynDcnXLqJTa6ERIJuOqIpTMvmrsfGCaUW0lrpLrX9cqYk4FKZyJrcs/0YrZV+9gwm2Ng+yO3r2874BuxfvI6632+jamsnVwC6ZznbRvtoMlpKnlIAa1sqODScRFUEqxrKZr0JX/ieD7Cl+ULuK7QlN0W38kjvAXYMDTOR3MKNC1fSbR1jMJPEyKvIhPNNsKjFmlzh2ripnUeHd2DEx7gg0sgnl6yYtWV27+Ht7B4f4Jvbn+HSSKvjD9W4uCQGpy3KtpH3Ex8LkR7cQx3DeJpX0rLkytIxfOa/d3F4NM3XHjtAtd/Ntan/x/m6067zNl5cGjCA4+S194WfE+54nl4gVdHAlgfu4T+zKzj/0vdzy8Xz2Ng+yKN9+zB8UcDRYyV2bMTX9QwXBiRGpI5/iJ2NPVFBpMGiNxXjovo66Ac75+KeY0/TayxmXevlbBnsYNsL93FWZzt7Q1dy3qXvf10J12yBzr9reCuvHYqmoUoX0sghdQF1c7GGjpFvWEq+Yi6aL4i7rJL79/SzZzDBnAofrZU+VCEYTht4dZWMYdM9lsbncowo3arAlqJkSaDgiMkX1QSxpcStnd7ovghWIX0VWLk8fiPFKD6QkMgY1JTp6JpCPGWQxakwaUhQNLRJ24kEPXzxkvkcGEmwcyDOggofpi3JWTaxTJ7RVB6/S0VCqfJj2ZLhRJZk3mk3zqv0sbV7HNOyCbpVYlmDSp8LS0oCkyostqRE6PYMxNFVBUUI5lf6WVAdQC9U7OIZwxncEM4583h9zPFqxNJpsCUSwXA8Q0jJ47OdfbCNPItrgwwlsgTdWklXZlo2QghypkWi0FecyGSIhP2oQkEUtWOpGJo34Di2CwGqI9LXbBMtM4FA4rYMcqqHlCuMqqhIJDnT4tBIimqvgkuBdM7x5KoKvPoE30nfWyHQ5q48rdfYUr4l0TFvRCvwF7/4BX/+53/O3Xffzdq1a/nhD3/I1Vdfzb59+5gzZ86M5Ts7O7nmmmv4zGc+w3/+53+ydetWbrrpJqqrq/nwhz98Wts+XfT29iKEoKGh4TWt57SI1Y03To1L+eM/nprm/Wb1Xv2L15HW29ixaS/ZRJq8aaKrCgur/VNaSbdtai9VQloqvKQNm0cPjtAznsalqfzReXOm3PBayr3cs/2YMwFXiVPdeo1Vhi2DHWyKtnPzVU5V6Rd/dyfhnqc5BlPy8wYTOXRN5YoFVfzihtlbZjA1ymbDuQ4RevBwD93pUe45BHdcto7eWIbhcQURHGXLYAda7aUc84+S9y9hV6HCtaEtwv9MwJBlAeI4UZqGGxas4ZvbnyGfCLJTGaGhrIJjx/xsqYyWCMO61hu5bdMaupKP89HwDt6/4dNs0B3C+tFIJ18tu497c8s5NrGKXf0JOvyLub8myJ9WXMiVzE48Gs//GL2FfxM7NqIdfoI5apR7tq/glosdX62HuhoYSFMikMFVGzATvahlgq7kpYz2G0z06CwoUzma6aHKHeWOy9Zz9+7t9Aw4UUfgtDardz+MNtiB5c6xsXrNW0qEfht9r97Ka4cQAs3lxhrvc0btgxUIf4h02Tw0LNzVjhC6wpektTqAriqMZ0wqvbrjRC0UhHCE2ooQNJY7laSBRJZ03ippZcJeHU0RCHH68l57qBOix/DVL0SU1SLGUw4BmqRHk0C+MATj9Xpwz5JNqCqCF3tjpPIWHWMpLmmpJJEzURWBLXXmlPsxLJuJTJ5oKk/WsCj3OusRQG8sQ3OZl9HCxGOZR2FVg+NuPprKM5rKUR/yckFzOS/2jJMxLVTFqUglsga98Qxhj059mQefrnJsPI3fpRL0aIS8Liwk5JPUjB0CJHF/PXjDjmdVIoaQNvgC6KqPxrBvyrF5dM3JEHRp2NJGSokhIWtahPwezLEoGLmS2F31OVUrKaVDroRAIEHaKFYOr+Vcc8eVcOnchTwakuPlstOVA0opOTSaxJKOx9fJyFHx/S1+/gfiWR45OET3WIaukSTXtkX46KrG09uJ1wD1FFqBp1mM5Y477uDTn/40f/RHfwTAd7/7XX7961/zf//v/+Uf//EfZyz/L//yL8yZM4fvfve7ACxZsoTt27fz7W9/+w0hVrZt8/d///fcfvvtJJNOyzYYDHLbbbfx1a9+FUU5/b/nUyZWtj1LbfYtxMb2QUZTBmUeDaTK/Co/X3vv4ik3ocmVkMli9oF4ljK3OiWypihSb60co7Xy+A1tctjxmdzgJuuR1kVaaVr7exwDmtb+3oxlT/Z53TLYQZ9nL5FmhZ2ig779Lm5aspZmtamkHSpO0n3xxU080nuATT1eZLKV+wMfIBs7hDfrtD6/fe56Luip4Yn+Cao9x8V606cin92fpy3QRJ8yQU5LMJH009Eh2Xl4FyvrQ9y8di7gXJC11ouoW/sJ/K2VbCw4168d/SXn69sJNGlsaTyfR/uOMoKfPr2Or+yN4fbNHhl04YUfh0ILMFXRgNkboye7ouQ/ta61kh9de8mUfZ2sS+q8dzu6MuwIxheu5K6OUQ7HYty9e/sMd/n1c9rYtvwazGA7aujKMybTJ8p1POH7OctQRNH64vBICl1V3hZ5la8Vb5drh/SFkUYOJRNDlTZl2SHU8ILSTe3KRTU80znGcDLHivoQAZdKjV8nb1r0TuSYW+kllTPwu3XcmoJhmNhuFa/LEYRLyySfTqKoGrrHMRuWUjKUcKK0agLuExJIe/AI2Bb2UCdaOEK5W5AxbHyT3M+9bjc50wmVVmbpx5iWzaGRJKsiIZDOMuNZkzK3Sta0aS73Uel3Kl7xrBNPkzNtBJKgLshazk0+6FZJ5RWypl1oDzr6q0Q2T8ClEE1lSeUswm4Nj66QKUy5JvIW6bzFVx/ez7K6EBe3VpIybDKmkzvoc+ukMllsw0QXAlv34/X5EYqNzKVQbGfikuEuTM2LcPtQq4/7zUXKjhs4Z/MG4+k8bs0xNhVCoFU0gJkHzTlGRXehlFWTzeWx8hkUK4+m6iiaBvkUCIFu56kKOOvVVIV5lX4yeRPTsvAIlbLT0MkBHImm2DXg6PQEvOrEqJQSI5NC2haqy43m8vCrvQNIAYeHEkSTee7Z1sPZVS6S6RwrF73x3nuKECclg6dTScvn87z88sv85V/+5ZTHr7rqKp577rlZX/P8889z1VVXTXnsve99Lz/+8Y8xDANd12d93Zniq1/9amkqcO3atUgp2bp1K1/72tfIZrN885vfPO11viM1VuBUl6r8OiGPxmAiz6rG8Iwb0GyVkOLNrDeWYVtPjI7o3lKA88b2Qbb1xKjyH3/jTiRcP9VJwck3b4CX9TbuCYS4UW+a0go8FR3Opp529iS78Xl0OuNjiDg0+sN8+9z1M8TYU7ZbGWZz6kX6bJMqd5AV493cd8cGrm27gsYF50xpAd61cydPDh6g11hMox5x2oUep124qrLNIXGDcQ6NpIim8iW3+qJ+rXguWhry+FJdDEfew6FcBZv1VoaUo+T8QyAl+aykd0xy186dbIqmZg11LsK/eB1XL17H1dMef7UW2+Tzua61kme7xhhNHkAmqmbYOKyLtLLuuq8AzNjG6eAHW7voiKZIbO06JWJVjCbqjWWmBIiPpgwiITcr68tKLe0znUp9F8chXT7scD1K2jGhFdkkWEbJKNKyJfMqvCyrDVLudyGlxK8rDoko3GCHElnm6CqmZZeMNvsmMgwmcswLqSiAbZmlsOHxjMGxwpc7t6qU1jMdoroFGe1FqW7Gtm30iV6n6Wf6wO3cUF2aSmXQ+XtTZ/kWnTIs8paNKgSK4hibWrakwu/BqztThjnDQlEE9SE3bkVQ4XchpVXQizmtTV2R1Ad1cpYotcEcXZOKpgikdFpVOVsiEARcKnPKfSTzJjt7nXO7fyjB+mURxjMGkTI3ILCkJGNKTNVHrmIRuq7jkgaqbaIYGaSigWVgjQ9jDxxFmgaus69Ca1o841g9Lp0617QbrJRgmSViVYSuaxi2G3QPmtsFtok93g+2iahsQptmzOR1aZzprbEnlilVobIFo9QTIZbO47UthID+sSQpK0djyM3e4SSN5V7SOZMVFTqrPv4PWJbNL2//Y9534RubdTptOPOEywDE4/Epj7vdbtzuqW3T0dFRLMuitrZ2yuO1tbUMDg7Ouv7BwcFZlzdNk9HRUerqZuZdvhbcc889/Ou//ivr1x/v2qxYsYKGhgZuuummN5ZYbdmy5ZSWW7fuzZlkKvpbtVa6qfa7Zw1Mnl5BmF6N6YjunSJ0L4Y6j6YM7traWXJMn60leKqTgtNv4rOFKhfXcbKbZpEAmbZFwszR4AtNIUWTbRDOMfuJj23h/kQfH267ijsuW1d6bvC/biXc8Twx4Nu3bpyyDREcheRYyczzobiHQalQ7QmU2oUrwsdbVRvaIuzqn8CnK1PML7utY2TcIxzxL+aIfx1P9B5gWbmfKrefw/FRJ6uxWtCcfoYF//tL4t4QqY/+w2lNwk0+3hkeWNPO580rV9LYHnlDBeQNITc942kaQifXZGzpiLKzfwJjWgyTadlkDZM1jc6+F8/znkHnW/A7kVi9Xa4dQlFAKFhVcxF97ZAbQ6Kgta5mIpNnNJnDqwmyhsFw3MCr6ySyJiDxaQpps1B5K2iofG6NoUSOlGHj0WAoo2DYkp5YloFkjOtXNODWjt+09w8mOKe5fMaNHECtXwD1CwCnwmcrOoptFLLyJi33Km2JoFuj3KuTNSwkzgRehc+FrkAim8e0nalAAYQ9CjU+BQULRYFQmVO1Tmbz2LaNSxWU+9xohf1XhCDkdZHJGXhcGmGhEM+lS9osn0tlaU2AkEvj8EiSs+pCHBlN4dEU0jmLbT3jIODsSKBwIA4pyqPh1XUE40iXF3IWIpcEaSNUFWukZwaxGtt0L7nDeynfcAOe+Wc5b4mRxe7dD1JiZ1PYg0cR5XXoK69EVRSCXkd0L20bFA2leYXjyK69vtWPSp9O70QGASyqPnG1Km/ZvNQ7wZJKN9Iy+f0fvUIqZ/Gxi1rQfDrVIQ/JrEksk8QqZC3e/0oX2VA5H1haV8rzMy2LfD6PbqTQPAGEy/Oa9l/YFsJ+dUJYfL6paWoF7W//9m/52te+NvtrprG14hePE25jluVne/z1wNjYGIsXzyTvixcvZmxs7IzWecrE6tJpPkuTUTxYIQSmaZ7RjpwuJk/qFUlOkSAVCdSD+4boHk/zg61ddI1nSpOBxfZgyK3RWukvrWtdayV3rD+rVNF65IAT3AzHb3DFG1uxzTgboXs1rG2poDeWYW1LxWkf8+Q2nyoUVlU2si7SWjrePo8TPgzQlnmGTf2H2SycMNPvXf4nJfLx3CT90nRMbpOti1TyI//V3L1/K+AQmXWRVnbFeujQ9zitx9ZK7trayeF0P0f79hAyCu/LuVMrdcrBV1i4ZxPXrnofP6ny0Jea4KLGMIs238eK0aO4VW1WM8wTkafUgS0MPnw7XYE6vh7tJZ7PccOCNdyydOqkyWQy/XpEFL0avvbexadsLruxfZCJrIlXV0BQIulbu8aIZU2e7Yxi2DgGix4NpGRHb2zWz9rbXZP1drl2qJru5MF5/Vh9zk1Y+ELkTYuBeBZVUNJHSQlmNoUiVWyhIKSTv9cxmuZnO/r5i8sXUu5zY0nQNRVpO2JvR6Pi5ZWBOMdiGeZV+mmLBPnsf77MsfEMHzm7kfedFSGdt1jeMHtUSd60yQcijmDcM3uFK2NYpHMmqgo+XcOlqShC0FzhZ3AiTSJnIoHqgJuJVBbbtkkYhSDjwvEVb1G2aYLbMQz16ArZvDMBqU4T0wih0DWRQ1XyLK0NoSkKL/XGAEoZgQBtdSHOmVPOQweGS226oEtlIJXHI/PYioLf5yeVy4MQpG1J0BdCJsdAc4OvDCbGwLbRWpZh7H0ajCzaoguQqpv0y88AkHrl2RKxsrt2QS4JioaMRcG2kdE+yGfA7Wi1zEwSOz6CEhtAlFWjRhac8mfHsmwyuRwI8LndM3Q3OdMiljFoLffjVRUq/C58rpkDDEOJLJs7osyv8lHh0zk6kcc2bFKFOCDLtFFwiMS5zWEswnz6c7/HvsNDSE+Yg8Mpzm7I4NVV8qaFho3fpZITbvLH9nPI08LimhBe/cxyD4W0HZ3bSZYBOHbsGKHQcU+x6dUqgKqqKlRVnVGdGh4enlGVKiISicy6vKZpVFa+/te2FStW8IMf/IDvf//7Ux7/wQ9+wIoVK85onadMrMbHx2d9PJ1O873vfY/vf//7JSflNwOzVXiKN7Qi0WoIuQm6VUJujft3D+DWFFbWOx+Eoqj98gXuKWagk/VWG9sH2dEbY2vXOCAZSeVY1RAutWQmE7rVRvsp5bs1jr3Cn8cfRB17P7Bs1mVSB7aw/5l7eKp6Pued/9EZ1ZgPmalSZMyWwQ5ufXELo4NB5lUE8bqqaVab8LWu570934B8P1cazrfREkmZdy4fncXCAAru56kwG18chLYo+KEjHmU0l6LRH2ZdpJV7Du2kPdnNPYcotSDzvmE07zhVBaK6q6+HpzuiNKtxblm9ioGuTsK9LxFT/FRfdDm7xvp5tO8gR0INiOr5rKyod2wgphGp6Rq1IhI7NrK4v52P1sPfpFvoTo5z7+HtM4jVxvZB7t89wOaO0VLL93Rw58s7XtX7arIbPvqrE7fJuZG9sQxlHo2cKan2u0ufq+IARUu5j2c6oyRyJjnT5uz8Hi4afpFt7g2sa71xyrqcLw5pdEWwsz9e0r69XQjW2+XaIYRAFGJ0RNslhZuuHySowmlVkU/jUiCYHgKh4A03YEmLCUtFEVBf5qZ7PEMia7B3MM6xCcfE8qr5VRimo1vKmhbnNZaRM0xGUjnKPTpjqTy6qnBwNMX//mwHAF+/dgkXtU71cJJSYpqGE4ElBPYsyktbSo4VxO0uLMYVlZbKYImkOlUy5zhTmSxuVYLD30kgHINyvwfLyINloOo6Vi6LlUmAphMIhBFCYKcToKgIj0NMxjMG2ULVLpEzSWTzeDSFvGVT5tEYSeawbEnOtDkaTbGg0sdAPIvHo6NrGmvLNNyGU3lFV5zRQkVDAYTuQepeMLOIqkb0QBjpqyB1oB0teQyyKaSi4VpxBYELryJ7cBeeqgrMgQ7UcDV2agKZmkD4gojyCDKbRFTUgeu4LovxftRMzMkJHOtD1sxDnGLwct50iCoS8hNRPOXVU57vGkuRMWxUAVU+zZnanAXPdo6RzJukDYvxjEHQpRH0ufja7y1jIpnnI+fNIZG3GEtmKfNo2FLSO5zk8FPdHO49ildX8Z47h/bBOCnDornMjVdXGE0ZGGoVg/Ecr/T28unzmk/puGZA2szqdTF9GSAUCk0hVrPB5XKxevVqHn/8cT74wQ+WHn/88cfZsGF28+MLLriABx54YMpjjz32GGvWrHnd9VUA//zP/8y1117LE088wQUXXIAQgueee45jx47x8MMPn9E6T5lYFUeli7Btm3/7t3/j61//OoqicNddd82Y/HmzMJ1kFatJI8kcrZV+LFs6pWgEE5k8169s4IoFxy9ok1t6k9uHt69v4/p7t5cyJo6MptjVnyhpYopEbmV2D9vv/gYVOBeN2YhV8QZ8+WgHGWMP7nw1MPv52v/MPYzvfJBc9Xw21c9sc7nan6C26yX2G3n+a2KcI0Y/kZoI1db5DB7z0uV34V19Mddc9jdcWvCLgplC+hNhcptTRDroTU+AlDQHytnSEcWeqEC3o8TNJNff/yQXzZ0L/rMmeUpVcuvPNk0hX/kVF7PXGKRmhUN8BNDgCzFU38bfVbZwk0ulfsdGHsTNT2yV3lSMdZHWKe3PczZ+hxsWrGFFRT2HUwnW6B4uP+sKhhpXHvfamoaWhjzZvkP0JqrY2F512mTjnkM72ZPo4psvZlgRnjPj9UUri95Yhluz1zOacm6us22neF4t22Y0ZbCiLkh1QcNSJOvrWiu55eJ53LapnYcPDGPZEPAofMh8hWW5l7HHyoEbuWtrJw/uH8Kynbgk05bYtqRzLMVgPPu2Er2/Ha8dQlHB47SlVAFzA5J8bBgdicgljldzcimEt4wKr5toKsfewSQfWlZHuc9Ff9yp0PSMpfn/PbKfr121gJxpk7ckrRUOGckbFprfzfc/tpKNewfpLqQXgCMcL6I/liGVM2kq9zjaKEAHPLO0DYv2BaYEL6Yz6TYJ9qRRNks6lgaqLMy6CdAEWLk0iqaje50bozlwGC3ag9S9yAXnYw33kHnsJ6Bq+D9wE0qwnEq/i7F0HlWBMo9OPJOnIeRGwdETJfIWft2pUA0mclT5dZrDXiQ4E36WgUwUzq1QcJtJTEVHsfLIbBx0N2gehJlF6C56/9+dZDo70IN+wvPrcWWy6GddSnD52biVNDIxQP6lh9Cbz8KOR8E0kLkMrnWXI5ZcOOWcSCmR4wOYI70ogTBq0+JTJlXgBG8XK6pqfAgKxMqWkmzeRBQ+MZaEjClxF1adNy364lncmkp9yMOimgAP7Rsk5NExpcSwDWI5k7wq+NC5c/C6NLwuDb+uEC/EKzWH3Y6/mC0p83voGkvTPpJEAoYt6Zpwlgu5vWQMxyLijGFbzs/JljkN3HrrrXziE59gzZo1XHDBBfzoRz+ip6en5Ev1la98hb6+Pu69914APve5z/GDH/yAW2+9lc985jM8//zz/PjHP+ZnP/vZGR3SyXDJJZdw6NAh7rrrLg4cOICUkg996EPcdNNN1NfXn9E6z0ih98tf/pK/+qu/YmRkhK985Svccssts5YB3yoUq0lPHB7FtCYwbediJ6Uka9o8enCYg395OTBzCu6e7cfY1R/nLx/aBzitlZFUjiOjThahacsp2wF46f9+ncZklLFAJfNOEEFSvAFXNy5HX3vdq0aVPFU9n1z1fA40reKzs3hL3ReoRQ81stVbSWc8Sl4aNFQoXFSj0qF3YZXl+OKLHU7V55JvlV7XHCjHp+o0B8pnHPt0Ylr61+9h80AHo7kU3clxuo4M0t3nxqzQ6XVFGYsfoFGPcPPaFjb1pErruHHhSu45BBdVLuC2Te30eYJsW3oplSmVGxuW0egPl0jTpp521r3wr0wc2UpT1RLSzWsZyTpjr+eY/bRlnuHKkRD7U0nuPbyd1lAlC7t3Mz81Rm20i1uuumVGpaqI7LFH+dPBh9hfcxEb2i4/4Tk/EW5cuJJvvpiBRNUU09ZiZW2Ffwku/yjb8yvpNYagcpSWBmeZ6dmOpYibvhjRlEF1wF1y+Z9uCLuhLcKOvhhHRlPMr/IzlL8Cs0uiVqzD3xHl+e6x0jSWgkRTgEJ7JxJyv23NSN+u1w5VWrjyCUc/YlugOCP9ons3qpS4ll1CQ9jPR1Yen6Bd3VjGg+2DdI1nSGRNtnROsKDax4HRFKoiKHNrhdgWRxBdG/IQTRuc1VjG+5fW8p6Fzs25dzzNx3/4AqYtufcP11ATdNp/Xq9nVk2JEII5ZR4yE1FcWKih6inL+V0aqZyjpbJssJCoVhbD1gAVo+j3NElkL/IO4RNmFiHAnhgt9EMN7FQMJViObudZWu1FFPRRdWVe+mJp8qbEqypoinAmCV0qgQKzKF4vk5kcfjuF1D0Ilw/TskB14c4lAIlMjKBoumOJEI5AcC7m6AAA0nIIjXT5yL/yGFbPPseeoUA6pZFGeHzI5AToHqQQJWIs82mwLWQqhjXUg0zHsZIT6Gef3piKpmn48ynkeD9K+fEW1tBEGiklunBicjyaQmXBvuLwSJxoymA04+y/W1M4KxKirTbI3qEE7UMJyr06QwXT1pxlU1Cg4dVVxNgoppHl2uVNLP/qVTzXPU5ddZCj4477frPH5JLAGNuzFWRsBY+mUl/m4YpJTvunCyHlKbQCT8+D4vrrrycajfKNb3yDgYEBzjrrLB5++GGam52q2sDAAD09PaXl586dy8MPP8wXvvAF7rrrLurr6/n+97//hnlY9fT00NTUNKtIvaenZ1avrZPhtIjV5s2b+Yu/+Av27NnD5z//ef7iL/5ixrfRtwuKVaud/XEG4llc2FT4dEZSBhnDmmKzMPmGduOaJv7yoX3kLck924+x/QvzWNUQZld/AtOyWVDwyipiY/sgB93nQwVccM0nZlSrijfXybl+JxNon3f+R9lU38ZnZxFlpw5sYVHPDv6jZiEHqlrJ5NMoQiGWMflm+yMIzWRrLEY6WqicTHp9d3KctGXQnRwv7ftsAvzpQck3LFjDvYe30xwoZ0WxGihtRDCKTFTSG8vw9edeYVeii95Yhl2HBfdsj3PjmkvoGne0apc1Rlme7SU+ofKsawxREePu/Vu5aclavn3uegY6/4vksKCjvAovFhXSGSsvhlFfH76K/wk3cMOCNWwd6mRL9QK8mobevIYTUYgtgx1UHNzC/PGjvK9xEWvOoIJzy+pVrAjPmaGdunv/Vp7oP0wVtSjuT7KsPEijvoeomOBX3Xv5wePj/On4j7jEfAVwqpjT28yT1zcbEar2u+mbyHE0moHKNvpq59OQc7N9aycTGbPkJyMllHt12mqdCtjbqQ1YxNv+2uELY1c2I+JDqJkJbEVF4kKkYwDY0T5HYD4J86sCrG4Ms6cwXt9c4aW+zMv2vgmeOzZBlU/nA4vd5A2DsEcjEnJT5XdxYXMFoUk2CsmsWSIg+weSNFfVoirKrKTKNg0kEi016hh2BqqxhrpJbP4flLJKvFfdiLQtfLqKaUuMgoWCwCYk8qSkjt/nRWBhS0E2l0PXNNS6BUiXBxGoRAgFvXWF007T3ai1LdjpCezxftKKjwl3JV5dwatr5E2JJSFn2KyMBLFwbCVi6TyZvIFtgxTgljlHvwOkTYmmaii6jrByKGYOXF6E4RAGOXQUoXupvmAVqc5uhKqQi6dQA/VIs+Ac39GN7veiVUbwhaoQmTiWaWINdCK3/ALXudciNBd258uOYF2C8AWQ6TjC60PGBhEVs1cjsgMDdNz+HXzz5tLyJ58rvQ+Kr8zRfxVQjNgRhWlK1ZZU+d0gbYeTWnKKLYauHNcTLisQLNOy6RpP49ZUKidNjOZjw+TyeZRsCsLQVB3g6qAHiWTnUIoKr4tLjf24jkZZW90E5Y1oda0lUfsZ4zRagaeDm266iZtuumnW537yk5/MeOySSy7hlVdeOe3tnAnmzp07JSS+iGg0yty5c7Gs06vQwWkQq2uuuYYnn3yST33qU/zqV78iEnl7fiMuonhjKYp6c6bNeXPCdERTUyYBp6M4qVdsB8JUP6wiqbptcmAz7+Wcthu5cJb1zeZ6/mrI9D5DW8cmzmldj7cQRzO+5S7UMkF47c0kdmzknJHDBOtdfEm4GDXTlGleUmmF8VyGcrzcsGAN3clxmgPlfHFS5M1064fpUT1FEfSIHKamLsHaxnq6k+P0pmKM5lLce3g732ms4NsVIcJtrQTnlnNbwa8qqXpIKSGGCXLPmDP5eNeOnTTMHcOuz7LafZDPp59ib9n53Bds5sn+w06LoKDbCq+9mZfLGumKplmbH+DGQgek2MbU9TYYcQjhTUvWcls8yo8ii9iVM/jlpGPcMthREtsDJINNXBa2uaD1upOe+xMJ5U80sSmAhpCHlcHC1Ki/nE097Tz4gklHNMXPzJXUVLhpnVadnC3rcDru2trJpvZBJBD2aFAwaBxM5IgEXaxuKgMJ23tjpPI2Ya+L39y09qTH+FbgnXDtEEI4VapgBNtf6Xwrty1EWQ3YFkrV7CaNF7dWsbqpnLxlEy6QpfcvidA5lmZeuQfTtMiZNgMpg+aQm6DHcVGfjMV1IT59yVyOjKQ4a04Yl6Zh2TY7esfJmTaLaoKU+1xYpoGZcarCYrgLu/8o2pILyO/4DTKbwsqmMHsPIuoWOFNUxcqCtFFUF9gG5R43mtvtVO9zTivTtm00lxdRt9BZXEpQVNzLLwEgl8+TN8GluMhoPoRwnObTOQNFOO0vRUiOFtqcqZyJVxWEXCoKNjYKKCrSMEEojGQsGoKFXpkniMgLlMo5EO12KkzSRuguQh/+POY9/4jMJLFUFeHy4j57HUZ1MxNP/jMVCyLk+zrRFq1h5Be/wM5mCS+Zhy9Qht1/GKWmBWtiFKG7EaqGGqpEqWoAVUemY3ACYtX/s/9kYvs2xrZupfaaq/G1tJzwMxNw66TzBh5doyroRAqZlkXetBEi71TvXCqNYR8hz3EyLaXEMG2OxdJo2NS4lSmTcknFhx0OIvJp/LEuhMuL8NWiCsl7mst4oW8CfSwKSEjFcbW1vj4Tc7bp/Jxsmd8inGhCMZlM4vGc2ZTlKROrRx99FE3T+MUvfsF99913wuXOdDzxjcDG9kH2DCZYWR+a4hF1ssmtWy6e96pWCEUyUQxsbin3ThHAT4Ze2YJw+dArW0qPzWYkWczPM5N9ZA5vI7HtKarX30Fix0ZSe59ACQlckaZSC7F11Qb+ZdcQI8Z+VviW8MH584+LrJc6IuuiSSgcnyg8EWGYbEyZrz6Mnzg7Yz2MZrI0B8vImga91gRdO3ooj4cB2GHb7Bjvxq7uoypXQ7pvEdWVVXxwTQX3bD9GWWMPu+LdCAG7wkvZUOXh6tb1VGn1sN+5qBdJnrfxYv7zcCfP2vu52O/j8rM2lB73Nl7Mj+7/JzriURL7t/KjtR/hsvQIi3p2cNBK85A7XDrGTT3tPHhsPznLYJ6/hlFlEU/XLuDacR9TVRczcaoaNHDIXbGdeXzZStZFWmnOHeUH6S48oYupe+9n8J+genRSfyohME0bw5ZUB9xcscDN893jDMZzrKwvozHsZf9wEp8u+dO1LSc5urcO75Rrh+b1Yxt5FC1U8uoRlSfXWPhcKj6O63WCbo3ldSFs2yaby5PIW+Qtia0IjIxJPGexcJJx5Fg6T8y0qSz38lz3GFV+HcOUxHOOq3v/RIbyaf5XxoFXsCdGMUcHca24DGukF+Fyo1U3IlwuhyzJLFouiZqNO+absQGwTExfBer81eiahm3bqLaJnc4ivEGkkcWKDQECtaIemU+jJMfRFBdZfw0e2yBvO9oiicSjK7ilRFcEIluwkrIlQY9Ax0SRtmP94Apgam6Gk1nShsFI2iToUvG4dPRQtWM6GapEZpPY+SxmYhyhexC2k5+qV1ZSdvGVCEVBb11JZiSJPV/iCgYwug9hZxxSl5nI4veXodTOxdj5JPZYP7i96PXzQFFRCq7sIjx1Ii2+4yWiTzyCPTGCW83SeNF8xvpMPCfxTAp5XYS8U98bTVXRVJVKn5tEzqQ25ME/LXA5l89j25KwFSc0dgQmfBjVc3GVVWHH+nFl8mR91WjSQHe5wMzglxlyihch4NymCvTgOVhDXWjzVr1+NgTShpMZ+p5BxertiFtvvRVwCPJf//Vf4/Mdd/q3LItt27axcuXKM1r3KROrf//3fz+jDbyVmFyROVmF4EzW+9SRUR7YN0SVXyfg1mese0tHlENbXmBBdIzxjv0Un5nNyyrdsYm+/Q+wO9PIgnEfFemRkj6nGNNSDC0uthK/pkfZ2L60UC2JsTaWZe7IT8n0JvE2XjyjQlXE5GDlW5ZeXJos7DX8REJVNFQsoKYuwfC4wmhymJQq8bh0qtx+WhbOITSgE26rZuOefnYnOzH8w9RVxLi8+mxuXjm3JMC+8+Ud9B2YoCHk4cNtl1FZICDrOE5ctgx2lKpqACga7uoleBunaqYafCF6kuM0+EJOBM3hZ1gc7WJFRT126/msn9PGlsEOelMx1IKcdzSTxcyXY/uipfia6dgy2MHdu7cT3NfN8tHnuXbRCt4/i65tOqaT1Mm45eJ5rFgg2dTTDv4YMPXzVqwM7uyfoHl8B/VbXkS75hNcWIg42tIRZSSZQxYuYMXCQ7Fa+uRh51hO9Pl+u+Gdcu1QFBXF7UyRWfFRZDaBEqpBmZRMcHrrU/B63FSrKql80tEucTxfsIhjsQxNZR764lkiATejxek6y2ZJlRddVcgaJh5dxyx+JgLlMDGKCIRxLVzttO4AGwUVUFUVxeNDiXaDkXV0SgWtEtkJ5MQwWrgW28hiJkYR0kKxjEnCd4k0ssicQ1hUO4/L7cbtCpCcSBPP2YR9Lmp8KlKCR3fMSw1LolgGipkpZPc52XOpVJqcVJjIGBwdz+LRFIIFshF0CZZUuNA8PhRPADsdd3RRuRSuqhpkKo664GzGN97D6PMv41+ynJY/+wJ0Po/Lq0N+BDUUws4bVPzeZ9HCZRh7n8Eu6DQxDfCFobwOjCzCX47wH7e7McbH6Prnv8XKmHirgrgbKlBUhfl/+hmUM9T/2VISLcQCjaVyeDR1SpvOLrR+g4l+FCMHRg47MU4+lwJNx9PYhnf8CELaWCO9KLVz0JIj2BVzQUCZ24UILEZtnOm/9FpwOnYL73Ts2OFM50op2bNnDy7XcYLscrlYsWIFX/ziF89o3adMrN6qib/XgukVmdfLvbq43kX/9CT5wmTPiUxEd+RWcpGaYWCijc99ZzNrWyoIeTSudh/ms+ZeUgcE/sXr8LWu5+lXerlvbCXNLi+3r+4u6bFOpMla11oJ/hhf33EfO6N9YGV52p4ANvL+xotLN/879z3Dbds2lYjUvYe3szc2WLIn2NTTTlQM0tgU4Y5zL59xzloa8nRbx1g/p42LJpGJlrEu/BMZYtJkwkohwqPctXMnX9/VT5Wsh1QZymAbVR6bu/dvLWmqJhOSyVWiyVUgmNqau655GXX9+/iDjs2UlV3H1uXX4B45wpKLb2R9uIFNPe30pmLsGR9kTXUT8XyWteElDIzqpWnF6dgy2MFt2zZxOBbjpt4ttI53UOMOnbRadSp4terXxvZBnjw8imHZfCSxlUXZ7bz8awWz+cIS4eqNZTEt0FQn57IYCD7dUf7tTKiKeKddO6zEGDLphHvbqbEzJlbgfBv26Bpzy9xI08DQdALeqe2FCp/Owio/i6sDpYku05YIKJEww7Lx6KC5vViZBK6z34OybB1qRS3pvMVYxiCoCUzbRlfAJyxUj2+qwagoTjgoJW8nO58FzUVRiaV4A1j5LEJREG4/iubCSk+guHy43C6OjaeIpo3CfjuVKtOyyGRNNE0l4NaxDJuSJZmiIKRFXmoIIQh7NNyqgldTS7OMFpCXILIpFF/QyfhLjqF4Avg/cBN2aoLYL3+IMTKM15XB7tiGqNIRmICOtCV1v/8ptJblKG4vmcf+DYqkSgikZWGO9OOeuxIxzZU99vIOkgcPovj8WNkJMtEEqkdD8/vxnnXizNZXgy0l7YNxbNuJBMqbNgeHEsyr8uMp+Eu5dA0jl0UEypGpMSeKxzCcNptlQGIUxeVy3ivTAMNArZqD3/sGD3q8AVOBb1c89dRTAHzqU5/ie9/73kmtI04HrynSJpvN8otf/IJUKsWVV17JggWnbrj2ZuNUndJPB3+6du6rZsNtaIuwo/dCfhFfTSZvMjzuWDVU+N38sb6TBdEXSewI41+8Dm/jxYg1DWS3H+P8NU1Epq3vRMRwU087Lwx3k7NN3EIhppbxuN7K+ye9djqRKorRi/YEkytb6yKVjo/WUz9nm+s8Nlz6fkdwPRji7t3buWtrFzevdIxBu61jpJUJhC1p9JUhE1U8OXiAtHsEXy7O5cHzuHpxDX2evTzZf5hU3uLBXeN8uvk9fO+Dy2bZdmtJJ/XFFzehdLxA9eFn2Lb8Gobq21h8bAfayBFc7gBf+syPS8d391P38mT/Yeb4y7GkDUhuP2/9SQnSpp52RnMpIt4AI41X0+/ZxdJZMhxPB0Uy2BwoZ1mgeUpgdRGTNXuvHLgIY0xyyH0+XZMIl1tTMKXErSosqAq848jUyfB2vXZY6Tj5p/8LpWE+am0Lii/8mtcphMDt9QJevLO0bJrCPpKZPIoQHJvIM5YxnNgYwLChzKPhL8S3qG4vqvu4N5Np2ewbHGcomWdNQwhNEViWhWVnHJF7bSt2MopIT0BkAYq0QNURXqcVqbi8DrkSAuEPoygK6mQ9meJGKzsu6hWT/hXYZHJ5p82o6pimhUvXUXUXSB/StlHdXuxcBp+VJYuO16Xx3kXVZAybfUMJ3ApUeDXyFrh1gV0Qp2uVjaX2luryoIarMUaGS/uh1TRiDndgFrRk2mgPZnwE1znvRxpZpzqnqI7hq7TIdexBKAru84/HluRGRtnx2ZvAtmn+1CeoPv8scp37mHhuC3Y2TXrvywRXr2Vi27OkDu6j6gMfxlU++99eImeQyZuOFs52fL7cqoImQNcUbGmTM+0SsdI0DU0LgH8+I0cH0dIp/G0rYeQopCewu9uhcRHCMhCBcrSWFa+7S/yseIPE629nfPe7353VnHhsbAxN086IcJ0ysfrSl75EPp/ne9/7HuCEK15wwQW0t7fj8/n48pe/zOOPP84FF1xw2jvxRmNLR5TeWIZlkeDrOoY+XYs1HetaK6kOuNk1kKA57KEm6Kal3EfXeJp8y9UErKoptguzrW9ytmHRNX4ywVo/p40d0T76UhO8r3ERmqLOaP1NJ1K3LL14ij3B9LbW/qd+zviOh8h5h7kr3MimaIreVIwnBrohOUpj+/Ft96ZigFNtIhWGnTAqQlTJ+lJbcMugh8NbB9mZGEWmXfxiZ1+JWM3WUtvU0879Xbv57KEtnB89in/kCOnzP8qPmhztWI+M8LnvbJ5CaA1L0jmRwBA5epLjfP2lp1gps7NWKCeTnw+3LHfOVyrMxvZBFja/ts9HsVL1ScXig3sOcJ+5io36zFZ08fc7n6ngnu1ruHFNEyvqywoWC2mqfDphn061/+055Xc6eCdcO6RtIaWN7NkN0sbuPYTiL0dpeH1aLa+mgZFS0hLSEQI8mg+/x0XnmEO8w14XQc+Jb6jJbJ7GkJtqn4v+RJ6FVX7UfBap6lg22H0H0cvrUArC9CLiWQNLSsq9bvSC3qi4j9K2nUA42wKhIBRHWE0qRrUKwqvhUgRqcVoul8D2hFB1F9I0kNkkyqR4FdXjw627icYygIWuGoR9bhZW+UlmC0RKUVA0HSva66zT7UcNHyd07lXvIbplM0gIXfge/OddibV0Dcahl5HjvU5cEdLZ93zO+REKthBkh0dxVVc7hrCAzKWdMG6Xjup2Y2UyeI1ukk/ux1NZhre6HEVXMY7uxly0nM5v/T1jR8YRd/4H5/3yZ/iapg4yWLakfyKNV9h0prPUhwOUeXSyhs1I2qLSC0GPRtAz83ab6hvg8Q/+MUjJir/6PIve0wouD0JRMXsP473ihhO+928E3gi7hbc7Pvaxj/GBD3xgxtTifffdx6ZNm87IJPSUidUjjzzCP/zDP5R+/+lPf0p3dzeHDx9mzpw5/OEf/iF///d/z0MPPXTaO/FG4s5njvLNJw4hhOD3z258029QI8kc6bxJ2Kvzm5vWctumdvYNJ9npWcYn1s+MlJmMya7q51W2cPXiGnpjGe7v2M9D8adY2RPipiVrefLqP3nV9UwnUifDU67zyHmH2V+1DhEc5f6uw7hVjRUVdVQF5h6PAJqFFK1rvbxEBkuPRVoR+RCKiCLcOa5f0gDMLuIHp3q1eaCDrTWLaQ1Wcu3FN+KPtMK1X2BTTztbXjDpmqRR+zO3zorDz/FwsJXdNXUoKvTFswz0zV6hnEx+Pt+7k5Gnctyefw9PuiNsTr3IHX6n9brthfu4rNBuPFE7dvIU4k1L1rJ+ThtLdj/Iua/cj0Tlo3VQ1/aJE57rFfVlXNKaYUV9mUPE/W6e7xonljH4zILmNzyG583A2/3aITMJjF2Pg2WBrqM1L8FOjIM//CbtgCyJ5cs8Ol0TWXRVUOPT8OoqMhUDJHgC2IkxLMWFcHvR3R40VSGRsrEkhL06fo8LU/Fhp2JOdI07gDXShQiUI4RgImvwbOcYRbnPmsZwyaQWwDj4AsQGQXNhp+Kg6miLzgNVhaEjaECkeSV2fBTb1JFCoFh5NE3DzmfIGxmUbAKRiaNVH3f/VoRS9FmmWPcK+1zoqkAg8Lmd1xdPhG3lJ40DgKdlAaHLPkCqfRe2r5JM12HGHv1fAkvOQs+lMVJx3Bd/xBEkFsXXUmKbJqJuId5V56LUNCOzKTKP/D8w87guvI5z7/85md5jZJ+8BwArm8ddVYYZT2F07kNoGlLzYxtRMLL03PNTFv3VlwpErnhsUKGalCkGloR8tjAqWThOn1unJjj7dJnqdqN63FiZLK7yMkSwAjk+gJ1Ooi0893Q/Sa8dv4NTgdu2beOOO+6Y8fill17KV7/61TNa5ykTq56eHpYuXVr6/bHHHuP3fu/3SiZfn//857nmmmvOaCdeb0xum/1gaxcjKYMyj/aWmCZWB9z4XRrVATd3PnOU/97VB0BLufckr3QIQJ99DFmpcVFbK7esbmNLR5RdL7xAl3GMgV61ZFdQxOSok67xzIyKzWQisLZ2Lt3J8SlWBZt62mleuZzB6jWc35Bna3wPblUjZ5msqq3h2+deXlrPiQKQZ2u7Fg1Db1yzkltWO9WqEwZSR1q5/bz1bOppJTKnzSFVHNcq7eh9zlnnKscOY173dozYQdIyQ09TCxdE5rM2tIyuoIsNbZEZRp3Fit5luzaS2vcE5E2W+DWeXPweomLCEZ0D1bsfJhftIhEIn5BYbepp59HeA+QLuoOfX3YDDT0vk8vEUfwVvP8jnz7hVOCJzpVLU4kE374mn6eLt/u1w06Ol4Td9vgoIiTByHPiuOPXcdu2TSaTQQhQVY1E7vhNK2va5Eb78EQ7nAdCNWBkURQVs7ypsLzN5s4xyjw6y2ode0kFp40owAk0DlRgxoYQoWqiqRwZ03FIh+MGntI0nKy+WOELkZl3Wj5GFrtzJ6Ki9ni4TnwYZbwfVA0qW7BdAaxUDDQXqC4QKiDI/OY/IJdGX/EetPoFRMq83LW5g017Bnn/WRFuu2Ihfvfxapzi8mJ7A865D031FBKKglZWQe8jzyEf3ErNqjlg5kjteonI+UtRNBXz0Ha08z+A5/IbsEaPMfH0wxjDAwhfAu1Df4SdS2P0HnKODZCJcTyLF+Kpi5AJqGT3voC7sRmleg7pbU/gXrAc1ePlrB/+G3u//FXGnn+RoU2/omz5UurWf+D4vhW0YzLv2E947SxNbkF/3o3X45pCXKfDU1XBtc8+QLpvgOrzVzsPNi5B1Wc3h33D8TvYCszlcrO2Ag3DIJPJzPKKk+OUiZVSLAcX8MILL/DXf/3Xpd/D4fAJM8HebGxsH+S/Xunlpy8fI+TWcKmClfWhN71ataXDEcBevqCKm9fO5dZNe+mP59AVQdd4ZoZR5NceO0DfRJY/XTuXWy6ex/o5bTx4bB+D6QRb43u4hVWsa61kZU+IwV6NiC84w6uqeKP26QrpgjP3dE3WE/2HETgZgGnLoDcVY1NPOzuifewe6+fy+hg3nbuW27Y9xmguxXnVjvPsjmgvlz9yN9WFKJA94wWLiWnEakNbhMjIdi7r+29SBz6Gf/E6blm9akbW3o1rmqb4hU3GukgrbbsfZux/vkRneQOh1R/EiHaxzVvFUdOiqtnPigVOQGZw1Qb8yRidihdFlTT6w862CtepwZ85XmJQMOosVNpSoTBjuSTpVA531Qf46srlJZE+wLbl1xDv3cl/eKs4rxBAPR2T36PD8VHO2fgd/mrBRSwHwhd98qRmsNO9xKaL038b8Ha/diiVDdhltVhDnUgjh1rdhOL2o9S/8bqvVDqLIQUqElWV+HSNETuPpghCmo2Wy0/a0QLVKwRFowj2DsUZSuYZSuZZXOP8XQrdjeovQyCwLANsC9s0SGdylOmCeWEPScOmtdJPpOAMb+x8HJmOoYSqwcyBvxyhFAiny+24rQsB/grIOoaowjIRvjLsTBJh5pGqBkKghGuxjh2A1IRjGXLkZRLhZg6OJHlk3xAAD7cPcuvlC2aQB8UdwCSDzGfJpnIIzYXX7+jBbFsgC4an+YkULr+GbZoMPL+XyLlLcdfPd9YRrkYJVxPUA6ReegrfyrXIXIbsA3c7HlnhGrTGRWjzzy5t17vkbLxLjv/ubmiBgsO8XlbG4q/+BS9d/3HcARdWYuZnVfOFsDUdGwU7k8CtWswvTDqeDIE5DQTmNBx/wHXyL91vFH6XpgKLOOecc/jRj37EnXfeOeXxf/mXf2H16tVntM5TJlaLFy/mgQce4NZbb6W9vZ2enh4uu+yy0vPd3d0nTKt+s7GhLcJPXz7GWMagzOviprVz3/Rv/8UWJELwB4UW5NqWCo5G01T5dXpjGe7a2smewUTpNS90x8ibdqmCszrWx5eObOa/fNXQuKi03OTpubv3b+XJ/sMoHS+wkBwfrr0UFs+bUrGCqbqiKwo3jIg3yNahLkaySfaMD2LZdmlSpyjsrnL7uWnJ2lL7LG3m8Wtu3te4iKsbF9McKOdjT91b2q+iVumK+OPkujazX8ux5gTk4mQatdizP8EYPoIR7cbOTGAlR7nKHWTX/EvZSsSJwom04l+8jjWL1/HZwQ4ihSoaFGwNdu6k2Qzy0dYLqZtm1FmcuGwCjl9Sj5O/ddd9peQFNlTY1nSsi7Tyo7UfKfhn7aM7Oc4/hFt46RvfO+FxTXn9LGahvy2Eqoi3+7VDKCr6WZegzFkG2RTp5x9CuL1OpVRxnXwFrwGWbYNQsHBMjMczJqoQlHk00raN6goTqvM5/ku+MDITB82NS3OhKCqLqgPs6JugzKOxIOwQASEEavHmrOrYuRQ2GnHFuSE2hz1UBo/f8O1kDKu/A5DgDeI+5wPYE0PIsT6kbSG85U4Qs7Qc6498Fqm6EKqKHDiAyGWhogEx3o+Ij0B1MyTHCxOJEq31bCayziRhc4WPIyMpymbRGwGYqRjS5XdiYgqByYbuRne5qLz8fdT+5tck2/fhb6oldNGVjP7qv5CmhdW4Cq1uHpldz6LVNKDXzcXdvBB3s6Mts6L9xystlom+5AJHV2fbSNPA7NwJRg59yYWYvQexO3eCEOjnbUDx+PHOaaL1xg9hHduLtfcpssfW4WlqKe23EALV7biZmapzbKp66lmEbxtYlvNzsmV+i/DNb36TK664gl27dnH55U5H5sknn+Sll17iscceO6N1npZ4/eMf/zgPPfQQ7e3tXHPNNcydezza5eGHH+bcc9+CnvAsWNdayVevWPiqE3tvNH6wtYvRlEFoUgtSUxVCHp141mRbT4zz5oSn2DTs6IvRN5EtVXAmu6xHlhx31Z6sbbp7/1YMS1J+4AWGJw5TG36ab/z+d2ZUSooRLFfUL+DnlzmCyC++uIm0ZdDqqWRVZSPNgfKSY/vWoU7mBSupLoyaFyszvakJIr5gyTbhiy9uKlXAGv1h5GArjxwYZtDfyPLKFpTq+ZxoaPm5535G7ws/52j1lfzP6LIZ71X4ok/S9+gdDLsDBJdfS9Xuh/AmRvlzO0OkKDqfhOmar43tgzw5eAACKvaKDXz7JNWj6S3D4nEv2f0ga166l2ism8qrbpnxuuJ2mwPlJwyD/l3GO+XaoYYqyPUcwBpycsvMgU70OYtO8qozg5QSKzqEx+UhZ0k0aTJkuDFsiY2Ta4pQSOKmfNIkmijovqSU5E2TuqCbW85rQJo5RC6J7dJR1OPtNRGugXwGYVk4CicnsHuy27QdH6WofsrF0lgH9+JduBSEIyiXponQXQhvCKvzFcglEZ6g0xq0DJRcEjITWB07kNLGTk0gPD6U8gjuCz8IQH0hZ/Wvr1nCS93jeFwqR0aTtJT7EEKgSGd4QEjbOXbLKBAhgTJJz1SxegUucwwwCJ23jvFH/gehCPK93aS3PUbmlaeRgNKyisr1/6f0OqWiDnXeCuzhbrRF55Jvfwb72H4n+NkyQVURCPKm4bRDCwJ+mZqAwjVQUWxsIRCqwErETvjeatprGrZ/a/E72Apcu3Ytzz//PN/61re477778Hq9LF++nB//+MdnPK18yp+AD3/4wzz88MM89NBDXHXVVdxyy9QbjM/nO2EW0FuBYjVkS0e0FD/zZlYCGkJuesbTrKx3RjWvv3c7h0eTjKXzGJZNmVefMe31mz+ZGklSnBhsbGxBHvwXMub6GcaZNy1Zy5FBi60uF2vkMULRY4w/c8+sVaLpHfvpVgdFfOype3mi/zB+1cWusX5GsklWVTZy85K1HNv1CIuObEara2YL0JuKsaKijmpPwFlfZRiAlobr6bYunEF+JqP3hZ8T7nie7FCSvbTM0FpVXnUL/xhu5pHeA1zduJivn3UF+5+5h6eq55fWO7kNOh0b2iL0GosRwdFZ96NI7BrP/xgXXvhx9j9zD7m9j+FOxkrnb12k1dFMDR8m9uxPZiVWRZzukMDvCt5J1w6teQnK/hcRLg9apPnkLzgDSCPP+L3/hDkeRa2up+KGL2HZkBqcIJY1sQth2poqKCtMBBqWTcawCLg1FCHIGSapnFMFUgUI1YOUEte0v3IhFNTqOZBJUIlCxnKCgicjP9hPdnAYK2cwtnczSEnL17+Hu64Ja/QY1uEXAYG28kpw+SA1jrTy4A47pMTtQ1Q2wdFdYNlOK7KqASsZL23DpSnMr3JalYOJLBnDxjQtUlkngcFt51CQqL5ydGkhPWVItweh6qgFomKbBoF5cyC7Bu+yC3BVR6i67vdJ732Z0IXvgaRjnGukMsQ3/Q9mOkftxz5dOA8CLdKMlZ1A9h/AzjoWE1gmQnej1bcAYMbGjvs06R6UiuPO6zWfuImRn/8IvboO/9KVr+kz8HbF72IrEGDlypX89Kc/fd3Wd1rU+oorrmDhwoU0NjZO+RYB8Dd/8zccO3bsddux1wtvhH/VqeBr711c0k9tbB/kicOjpPMmtpSoisLKwhTYbJhcOQmu2sDIplvB5fT1pxOrdZFW7jg3zEb/II9P2FR2PjlrlWht7Vw64lEi3uAUMjLZN2oyQRGF/wigLx1nMOOQm3MH2gn3vMz+Z+BfRgYZzaX4cMtyvn3ucX+YksHoYKgkBAenvdisNtHV54jKG8//GL2Ap/pKzhoNzqq1mkz+/JFWfh6PlVpzAPd37ebBY/tYWVE/w3zU2Y+VzoRiKlxqDY4Kx8D0wzu/T/PALkaSUZ4DDna+TNZTRnLa+Qtf9Eliz/6E8EWfnPX9ehcnxzvl2qEGywl95M/f0G1YY4PYyYnC/w8jhIIlLfYMOzmAAxMZzm4MU+7ViaYN6kI2R0dTmLYk7NUo97lKzt1OZcuZt9M8foQ685IuFBXNHyYA+GwLO5vGyqYdA1Ejiyry2KZNdiyOUBWkZZMfGcJd14Q0CkJvaWP1tKPOXYUFjkjdF0ILVTnPpydQK2qQRh5RWQdCnTLVZtlOJUoRgoXVAfrjWcpcSmHdELd1PMLEL0ApaDgpECopHRsFc8ejqEiCzbVo9U7UUPiKDSgjh8k/8wusQC2yrIHE3meQls3YrzeSGc/S8ic3O+tIxRBuH9I00Bavwjy8HfJp0PTjWq9M3GlhSom+/LIpGjDV6yPyqT9/rW//2xu2dQpTgb9drcDJyGQyGIYx5bE31MeqiBMlQY+NjZ1xEvQbieni4DcSmd5niO/6vwCcs+JPWLfeIUG7+ieo8ruQXo2sJanyO99Ci+L26cafxeDm3mSMo4lRFg0MUlYXKQUST0dRl7Nl0MOmnrNnrc50J8dJWwaP9h0kmnV8qYokpOgbtXmgg9vPW+9opYCRbJJqT2DK9KBWIEMH69pKGqwTVaUmu48DPNJ7AG8uSvpYCwC3r/84XPhxAP5yltfPNnk4PaZn80AH+yeG6Ek6xPPVJhSBKQamHzbd6IpKvS/EkRd+Tt1EH+2RNs47/6NT1lF51S2vWql6F6eGd9q1442CWt2AZ+kqjN4ufBc502WKEFi2RFUE8YzJjr4JWsp9LK8LoQjQVUHQ5TirjyQyZE2btOGQlXllOm5dmxLJAWDbFnKsH1FWg1BUUBSkkcc2nCqRouvI8UHIxPA3N2Ln86iqE7finetok5SaZoj2YMXHsAc6kKk4ornNublO9jMy8whVc34qmxDBquOtRttmPJnBtCUeTcGjKcwtcxFN5dGkxJROFE8OHTfKlJuSbRqYqQlIjjktKCEQmgvF5wjaZS4NmQnH/mB8gLJP/i1Jy0dmy8OYGYPkIw9TuWw+vpXnIRNRp0IlBKKsCtfaD2PsegKZz2CjYg0cxU5OoJ9/HWpFxDlnrwJjdJD45gfxzJmHb+VFCP2N1eO9KZCn4Lwuf7v+TtPpNF/+8pe57777iEajM54/k+vSaRMreQJzsNeSBP1G4s0UA6c7NpHpedIp4wcaStWlZzvHiKbyVPpdBDSBIkQpogSYUVELrtpAbyzDd/IhJjwqNzSt5tprbptRrZqOdZFWVsf6SDx1N6lJOqFiht6y8ggj2SSj2dSU1xV9o0ZzKTb1tPPtc9ezqaedPeODrKpsnNLe2gK8qPkdc81JVg2zoUh+ipqtZeURLkWhJvMfNEQ+BJy4TXjnvmf4h51PlHxtittYF2ll11h/KaLn9vPW89mt/01faoKdY/1smTS9t6UjylP9Rxj0HcPy6HyodQm9xuKSgWnjktuwDz7CU67ziFQbxIELzv8YF74OkTbvYibeadeONwpCUQlc+X+mPKarCssiITYfGaEy4CKaNtg9GGfDWRGEENQFnEt12rBJGbbzWMjDSMoA3YPHq2PZEoFTFQIw9zyFgo3dvQc7MeZUkc79QHEnEIqGFAJhmaihClR3L2YyhaIIZD4LhFBUDRmuhdgIANLIIjIpRCAEvjCWZTkEKlCJaHAsNSaTKnAMNLNmQcNlSXSZRZM2lbpAUTR0IGdLdFVh+kdEFqYalXwK6fYhzTxq8/LjzvEeP1rrKgYefJjEUIoX77qK7iP9vPdLnyY83EVNq834Qz8n8fzjVL/vWjAnkJblWEIYWeRwNygqZjqB9JZhjHVgb38c75WfmCGdmI74b35Fpv1lMnteRE30oZ21Dq3mjWkfv1mQtu2YrJ5kmd8mfOlLX+Kpp57i7rvv5oYbbuCuu+6ir6+PH/7wh/zTP/3TGa3zlInV5CTov/mbv3ldk6B/W+BrXY+Z7Cv9/2RIwK8rKIpgbUsFmqqwoS2C1v0c5+b+h86hS1n0T0M0hNx87b1tbGy4ma0d+6mKJIhctq7k5XQyFKtdQIlYfX3Hr9k61EWtN8gHm88ins+xtva4eHhdpJUbFqzhrn1b2RHtY8tgxwkDnItVqKsbF09p/xXx3G8eYN8z93Bo3lm8/8pP8O1z1/PFFzexbaSHKrefq8yj1Cef4eDLJrnKC2a6ohcCip+wtpAgQ6XbO2MfJkf0vLThC/xo7Ue4bdumEjEsEquN7YMcyHRh+KI8Gz3Md6+6yDEwLVTCzDlt3J+cxyMHhrm6uobbb/2jUzrHs4nc38WJ8e6149SwsqGMlQ1lvNIb48F9g7RFQqjTrCqkdITnpi3xa4JQSMVtTpDNlzGezqMIqA76UBQBRg50HVQFmU07rx/uRJ9zFtboMfJ7n3YqUgV4F7VhHOkmtv0VRv/0U8z/uzvwzV+ECNU4Au5MEgSY2x9CtCxDNC5Gah4nV1DV0MMR8qZNOp3D79axJKhCoCkCHQsDBV2AahmgqFgSTBt0RRB2KyAUXO6pVR9F92DrDrkS0kYEK1Gqp5IX38UbGPm7O0FKFlQJuo9APG1yyY9+xLG//gzSBJnLop11KdZQF4o3iOoPOQTBV+Y4stsW1mg/WAbWwFHS99+O7+rPoATLT/h+uecuJtP+Mr6GWsyBToyBTiwthPfsy3AXrGDecTDzYJ4kOsfMv/rz7zA88MAD3HvvvVx66aX84R/+IRdffDHz58+nubmZn/70p/zBH/zBaa/zlInVG5kE/dsCb+PFs1aVit5ExVgaTVVKjtqDLz5NTepFeg9m6OATdIymuGtrJzevdYjPhrYI6yKzV9zu3PcM9x7eTkuwnK7EODcsWMMfFgTvk6Ny+tJxDGkzlEmwdaiLtGXQnZzqxdKdHGc0lyI6qWp1It+myf9Ox7Gt/0Nd/zMcNXr4eriRqnwXR+gkns+StUzuNRu4PLWSLfnlLG8fnEGsinq0XKiailrBX628eMZ+3LBgDdue/wV/cOwFoo/dycJoF99rXsMvNT+mbXHOxu9ww4I1bGhbyo7xBfTbPm5cuLL0+k097XTtfJjBZ3/MRyPnc27uAE2B3+PVKmiTkdixkeHtD7D5yCh1v9/2W2eP8Hrj3WvH6eHsxjBnN4ZLvwsh8Ljdjj5Ts8km80RcGqoAhEo+a2DYKUDHlmBJiYJAXXAOdk87IlABo4POlF/NXKcq0b3bMdU88jLuiz7iOJGHaxnb94/kYk5Fe2L7C3ibmsi/+KATARMsR5h5UDVERX2homMDCrJgsDqWzGJJSSpnlqpUzXqSqtQotlCwA7WIbBzTHWQCP9hQ7nPhc89+MxeKgh4oI3dgjPyR3eg19ahzz4ZJbTehapStaCO+u52ahjIumzefNR+7BIDqT91K/KkHGT/UTc///T5zPndLyTVdKApqUxv53U+huNyoLcuQlo1MjIKRxRrtRQmWF/RZ4067s6zGyR8EfMvW4G5swurai3l0F9K0IDVM5qlfMPDgozTd9Oeo7jc4NPl1hrQsp6J3kmV+m1CUIoCjpxobGwPgoosu4k/+5NVTTU6EUyZWb2QS9G87ShqoaYagcJwA1ajnENqtkTMLZVZ/DBHpAL8HqJxVb1Ss3OyPDWEhnZDlDV/Av3ids3xBkH7zkrXctX8rDb4Q1zUv41fde3mwZx/NgfJSm++9XosXRYYh1U+9OUZ085d4peJCfjzq+GxN1ll9+9z1J5y2bFr7e2x+6hjPVTUyGM+yK3aAtH8IlwqNvjI+3Hgpz8orqGB23VsxoHhE2tREylhRUT9jmVuWXsx1v/kBqX1PMNazE6EozAO+/fHbOWfjdyZVsy7mN60zHb2b1SbqejuZGz9ERayXynyaWIfGFwPyVVubk9+zzUdGuc9cxflPP8jcRx4GARWX3/xuBWsWvHvtOHPYtuSJIyNkDYurFtbg0TUawxo5w8QsiGxVM4PP68eWGpa0MU0TIRXUUDXqMscvTJvrVFDsXBpruBM1VKjE+MtQAuVI2yZ9cA+V13yY7MAgti2pvOIa7Gg/sigdkDbC5UdrWgK5BNLtBUUDBYTmEB1dFVimM9aoKs4EmWUYoOhOWHNqFIF0yE3hUpfMGmSyOfzGBCoSJVCOWrA4KCJ7aBf2RBQrk8HzHhcyk8Aa7UONzEPoLubefAv9d/4disvFmtZalD2PYzQ2ookc2byL5L6DJPcdpHbDh/E0HM/60+YtAyFID0bZ/WffQPW4OevW/4MW8qM1LUJKid27DyYKjvS5NKLWmVy2xvpA1VFbVyI9YbJbH0QrhGWnd2/j8N98lcX//2+/vh+INxq2fTwS6NWW+S3CvHnz6Orqorm5maVLl3Lfffdx7rnn8sADDxAOh89onaetsfr3f//3M9rQu5hd71U0qfwE0Ly6EEfTkOe2bZvoTSV4uiPKHeeG2RQ9LgQv3viL4cqTK1ZFbHvhPqp3P8y25dfwpeu+MkUnde/h7XSnxh0itvRitgx28KtDWwnnBujW6viPo3tpNl9iY7/BppwPRUg2D3TgKaSrT3Z47zUG2RRNlSpYmwKS5o9/nUhvP8pAkPoATAQtUjLNDQvWcMvSVdzyKma261orwR/jtm3P0BlL0djjnZ3oCACJVt6At2VViaAWz8na2pYTWjF09bnoElfTWBlh3nlrMKJd/K+3asb5PRH8i9dR9/tttLQPclnfXaT2PIJtZEkffh7fggveJVgnwLvXjtNH13iaF7qd6nIk6OGcpjDJnEHWMBlJGihIWsIRNK8PJZ3FsiW2ZWLaAsuycLvdSGljppOO8NsykEJBFgKWlbJapJT0fvsrGAPHELrO3L/9AWrB7VyaZYjqOchoH9I0wBdCnX8OMj6CPXAIRQiE2wehaqyYSVhzY5c3Ylo2Q8kcVaRQsZG6BxmsRFN1pJnDkjoe24nSsdGwhYIpNFQ7h52KzSBW+rxl5HY8jd66HIDs5p8hkxOIijq87/k/eFsXM/ef/x2ju53slvtBVTF3/wZF0whWaijnLSFYX4aI98EkYiWEgj5vOclXfomVSmGlUhj+ZkIXXAg4wnuM7Oxvju6GQvBRLpWj7+m9lJ+zisS+gwwcGabz6U7MOXfS9uk/REw7nrcrpGkgT9Lqk6bxqs+/0/CpT32KXbt2cckll/CVr3yFa6+9ljvvvBPTNGfNEDwVvIOdzH77UCReX3zR0QtJU2M0GnSqXOfObMHN5ptUrIpd0dlOKNqFe+TIjO0UyUeRiG3qaec3ZoBqdx1Z28UA8JvgOQRz89AzaVRfCoScMgFYrDb1efZyf9dhNg900BqqZM/4IFc3LqYhexa7h4a5enENImLySO8Btg51srW3H5mo4qKaubNmGRb352QThxWX34xe0cjR2ku5PzmPDXqEdZPOSdExHWaP3NnIldS1fQKP0Y4R7WJtTQtD2vHtbRnsOGEIc+rAFuY+eRd/LsG38CLGOuuwRzux4kMkdz1CfugIkVlMWt/Fuzhd1AbdBN0qOdNmTrmXRNYgnTcwLEmm0Go7lrRZ4AVdUzEsG4EAaSNNE0MIhLRKN0th5VCGj2LblmP7kN6Dls1iDPXiCvqRSMx4DDnSBYqC0rgEJVxL/sgOGAdtycXI+AhWx8sOUfN4IZeCaBbCdWDmiE4ksRSNSp8LLXW8bWTnc2hlQdJSxTLyaIqCJnOoRoK86kXDcsw9XTNjYHznvw/vmssRhS93MpsBKZHRfmQug3B7UVwu3AtWoZZVkX/hV6WWn78xgpp1JgLNzr2YpoYVH4X4KHptPZ5Vl1L7vvcSe3EbZnQA3XO8IiOkjRQCvCHQPYiaFux8FjuXRrj8yLRjm2EcO4JtWYy+tIuWz3+Zp2/8ItHBBA/+9d3MaavlSOuVeHWNJZHgG/ApeR0hT6Fi9VviY3X06FHmzp3LF77whdJjl112GQcOHGD79u20trayYsWZaeXeJVZvIU4kgi5N003yfCIFcrCVXWqcTT0nNsUsVpKU8GrOaU7Q2HYFMDV8+aYla3lpwxdmbK83FeNYQWR+/XnrIRVmdOdOjoj2UsUJjpty3r6+jS2DHjq29XMoPsLe8UGWltdMMwrN85PeIwym43hUje5YCmNimM27DTy68/GbTqxmMy6d3gotVvq+tandqZzFMnzt1wfoi+f407UtNFeW41N1mgMzxaeTK4fFHMFiK7GIbS/cx+Lf/ADLMmaEMDsDAo8gLQMrMYKneSVaeQMCMMZ7sZKjJHZsfJdYvYvXDL9L4/MXtyIlqIpgYCIFUqIKiS0lAgi6nb8jr8uxXUBK8pk0aVNiG1nKfG5kccZtbMBp6QmBNT6KzKbIv/wowVXnk+/YiwDM7n2QHkKUVSNtGyVc6+QUai5EIIy163HH4053I00TXBqivB5b82ApLiwKNgVCoIdrHRIjBAjBaDLLYCKHX4NKl0Q30wjAp+ZRwzWO15V2Ar3VpMf1trUYO38DLg+5V36Na8XlJQsG1R9Eq6jFzmWc3MB5q/BUNmN07CZjeOm49YsIVaFh7QI0jwutvAp97jIqWoLkxCBjv/w3Etufo/qD/wdXbT2iugVyKURZLUIoGMlxjqVsRnIKZytxlOQYwZZ6pLuMsT1dyH/5V5Z99pM8/fXvMHdZEznNS9ircSyWodX045pm0Pp2ghPzcxKN1W+Jj9WCBQum2L9cf/31fP/732fOnDnMmTPnNa37XWL1FmL6BF+x2mRaNo8e9NNQlub/a++9w+Mqz7z/z3PK9KZeLNmyZeMi4wLGBoxtIEBwih0CCZBNgOwuu5slZJOQ7LvJljh5X5ItqUvYbMsm5JfGLknWTiGFZoPp4CrjJluWZFltpJGmzynP748jjTW2ZNlggwPnc11zyZp5zpnnjKyZr+7yvTdcN53VzRXcMyogAul2sl6n9Xki0dE0rUAg3c7LoTC/MlayVgtyOU4UqH/3I6zs289zw0dZ/Z7PFPcxfjzOiqrpRaPNLT1tPGs+zdHMMH5V50hqiCOpIR7u2lsc3LxuegtfWbGOd/zmPyhIi32Dg5COlUTf9ib6KNgmaaPANXUXsH1YJyEElUF9wjqrE0fTjO3tke4DJf5bcDxytq0rwZOHB5ESHnixkytXDk9YpH8i4QmK/QGu6j+IZRn4ItUnPRZeup7ktp9jDB4le2QbaiBC5JKbqL31K6T3bmHw0fvJtW+j8/6b3bSgy2tGEaI4NiHi8zCQyuPVFGrCXsoDOqFxhd/KqIDJ2oKutBPR0nULr6ojhYoSiCIKabAshKY5Q25CZUTmr2Q4PYwaq8A7awHWkQJKnVNLpETKCd74Kcc4U9WwAmHIjCBtiQiFHTd2o4CMNSAQhEwbKRR8uoqUEjVSCZaJonvoH0gjgZQJuqri1f0II4fiCzkeWKf5muhzljnmnoYTuTLbtuG5cDW2UcC0JWLuZWg9B6CQxT68A4SGd+5SEs/uAkBaNlbexBMOwqhgCyxcRv7IAaxMjvzLz6L4/NTdcTdKqBxC5cXnzuLhV53D2BKGK+q5RhtBj8aY/t7rGNz17+TjCVb/1V2s+JNbUY0knYYHIW2GcyaaerpX+AZhGs5tqjVvAk60f/nVr37Fl770pbNybldYvYGc+KF+/9bDPHpgAFtKRnImnYkcG0c758YERNO0GEeszpLut629h3l0VHQAHLEPsUir5w7L4qodG0lHnIHN8x//FrOHOwj2HzwpgjXmW7W2YV5RVN3z3CaOZUaQgEdRi5GkbfGj/O7ofjyjLs9fXr6OP567gv985UU8mdrinrf0tLGtt48QYXw+uL5hLpqisnLl8UjcmXTUTfSWNCbgbv7ei3hUBa+mcPuyRhZPd+oo1k1vmbB7ciyF+pLewsZgRTGVOMb8VbeTDMVKoonjBezFf/if9PzwE5iDXUjbJrntF+gVTVRcdzfJbRtJtz4CSKyRfnqyw8SuuMM1GXV5zQS9OsETOuiklE4KbZx3lNN56XTqeaw8Aolpm/R6qqmtDiBG+lGjFSjhckQwTObRB9Gw0ctmoXi9yJoZxXmCQtMR+nGfMXXh1ZhP/Tdk007tUM4RS2qwHMsfxYeBbUM2D0iJR+bRM0NY0iagVpK0BR4FKlUDhI4WrUIoCjKbRCb7EaFKRGDqBgelvA7Zdxg7nwNfFAAr71gnSI8f/BFEIYuV6EOmElhARVMDkY/chGkr+JdegerzovjDSMskuvp6wpddRedXNmC2HyC48KIJn1cLRZDSSQGqqgKBCkjF8c2cS/27r2PGnY5ti7e8nMKePdQe3oWom0Xj4mtLfkbnI2/FrsBzgSus3kDG0lnjkUBTuZ90wWJa1FcUVKWF70v54Lc/yrWHn+O5gTaYtZzx2tuwJEcHLRb2tZJv38wrwOo7v83F6z9TTD1+7oQI1rpRt/FiEfponVNdIIJf07lr3LiYkUKOlFmgfJzY+vqlN/DeqtXFrsf7XtrGva0Pk7Jy+DI13NR4JUJpG/XAgq+sm9hFfjL+fP5K+lMFtnePcN9L27j74qUlj4/ZUwAsro+yuraiuN97ntt0cvfkqLAqFuEnsiUO+BP9bDZ1tCI3/yf0tJJ7+8eLo27MkT6MeHtxlmB46XqMeBcIyB3ZhhE/MuWcQReXV0PHUIY9vSMEdI2lDbFiWjDo1Zke1p10oTCc9KAU2ChYCLRQGeqMFkdwdR9yOuWEwMwnkQPtCF8YNA9KrLZEVIFj/1CssxktggcJiW7UgiOyLH85qKBICyWfKXof1epZKsMRUiYIYWEjyBkmHl2DeKdj2plLo06/cMprV+vmkD/yCjI1CKlhmH8ZqteHmTVRdC+EypHxo06ULZdHCQRg6BiqZiMzGbRIDKt9F3ZyAFFej2fJNSi6l8ZP/C32UC9K5TTMrn1ITwAZP4oSiqE1ziPo0Xn/onr6UnkW1IRRRBVIm5CisuAS5z1DSklh5xOYbS8jpER27Ue76O1n7ed+zrDtqZ3X3yRdgUKIEiPbsfvOBq6wOo8Y87s6nUjOH2T70YY6MGtnEfXqrO98Gi3dyhOha6i1ZpCLl/EfWiUt4Xpac2GuevIQ7UMVrF/+WVY3VzDjpW1U9HWxfOgI0f6DLDsh/bZuegtdiSwyWcldS5ZAMFGsrbptzjLu3/0s9bKJHQcEG59vpanMX1KM/skfbWKokCGk+lkUmklXIssV0xpZ2zC5B9apWF3bzHBqC0cyAzywf3tRWGW7niTTtolLmtfRECvn4b19RUf7MaF0qu7JMeHalchOOVNy3fQW6GmlYqiTxFPfJTj/SmQhg7dmDlakujhLcEyUpfduof9nGwDcOYMu54THDw6gawrJvMVw1igKK4CQ34NpGCiKHwmYeZOYYqMaNqg6Vtk0dH8IFRUKWWQhj29aAwIQtoUyaisgzQLGjsfAMtEXX43iDaAtXIU91IM640IY7IJUHKk7HYgC8KR6UT1BhDeEYhUAJ6omVR0Vi2jAj656SeYKSMMkZ5hE/GGnA89/enYc0jJRozEIh7Gl4tSD6V48uuMdJTUP1nAfdm8X+b4+PFVVaMEg6a5jpA51kjt2jPC8eShen2MSOoq58zHIpTD2CazuQ6ixcuTobEclVoUSrqA27KM2PE5wChU5WvhtD3Ri7n8eo2Of4/mle9GaS/8QPF9xugJPLQveLF2BUkruuOMOvKNeY7lcjj/7sz8jGCzt4PzpT396xud2hdV5xJmM31l9zV284g3xeNVsrmp9hIu6t5MbtMnUjHChXsNWLmVPzVx+HQqg58pp3XqYgbRBV8J5A3lgywi19ruYVdPIpatuP/n8tc3c/9shHj0wAOnDNM7r5ieHWkftH9bxTl85P9l5jHv37Mena1QGdTKGXbRfWBPLMy07xNqmeRxIzuDhvX00xKqLkaoxQRRoXjflqJ4xbr9gCffvNIkUatjSFmd1c4UzRqj9NwCsb/kruhJZuhJZ7t96mF09SbqMHkT5UZojFSW1Y0UrhubmST3GJnpN4m//eHEgs2+60zEymQP74KP3k+vcTrDlWjda5XJuGP0D27AlNeHjZpS2ZSD629GlDZUzMEyLiAaa7sMwVGyhoCoCxevFLmRRI+VOcbqmIVUdpXa2c55sivxLv0XJOcLC7u9AbZiHWj0TtdqJElvVzRT8FQhFoJk5x8ZB09E8AWxFwc6NHN/uaKeeR9cQQiDl2JBnUMoboKy+OKPPtiV5y8anKRNHEswCYnR+oGKbGK1bQPWhX3DxaPrSgzb3UszC0wAU+vtRZl5E6olnnX0XDArHjqKWVxG89Ibj5x2LxkkL4Q8gdI+TEVBU7PSwE8nzl3b3SdtCduwAs4CdyTheXcEIMpNEW3wVntkTpxXPO+zTmBX4Jilev/320s+9D37wg5OsPHNcYXUe88Djm+nY3smRWpPbrip1IA/OW82PRxKOpUDVbG5deA151aDWyhPNPU/atiiodzJnWjkyWUk/PuJp5y+Nja09DKQNqLyYunW3EzyFmBtLMa6b3sITbXEGesLcv/UwAF5NkDOdIvQrWlR+3b+LZwvDPN8uWUKCWtFLQ347C1rWAtBU5i+airZ0HRdEpyus7r54Ke1HPcWo1OrmiuLooEDzOlY3VBRTe7U1WQKNvQx4LF7qOkxhdGL76trmkuHQxdd0nCFrem8ryW0b0SuaMOLtJcLpxIHMEwmqsQL27IFnwDJBnrTExeWscENLLS90DXNhbQRdPd5tZiWHUArOGBtyKdD8AAhFIEedwy3LxOjpRORHDUBVxREVuVQx/Zf8xbfRRQEZjKKUVaNUNpY8v5Q2hWwGU/MhhYrqDaD7jtslqIBSNQOZHcYWGgKB5vEVhVLI72UkW+DgUA45mGNRfRS/4kQTXu5KkLdsGmJ+ZpSdbMEgvAEom4bsb8fOpMi9MurwX8iiz7+Mge//M1Y6iaWFsLoHQCjIV7bjry7DNk1ib3sXmDZ684WYqSSZZx4jsHgF+qK3YSd60SqmYex/CTlwGLV+FngDmKPzSz1r/gDFF8A28sjeNkcwjllaRMqRmRH0aXPQZi1FqTjZ5Pi85S00hPlc+uq5wuo85tjOY8xPhBgxBktm4I0xllJb4rfwlw0yp3kdc4D9Lz8I2eXctWQJq5sryHY9yf6Xf8Qj5cu5ZNklxeNPTDmeaP9QkpqsreCry2NsbO0pjuZZUh8tPr4pvpWB/l5M06bWE6bVCPKy2oRPb+Yb4wrMHz0wQFciy3evPi6ITpf03i3cevTHKN4ldCTCo1Gr0jFC4/21elP9zA7VUlsI05UeYfvREe578hCdfUEuDM8oSUmOF1sXtG1m+OnvY2WTqKNpidPt7Hv66R9h/uRvKB/pRVUUPDVzKL/mrtO+RheXMyHi9/C2OVUnP6D7sTUvQkrUQASv4nQAKoqC16NgmgZ2voCwDCirAQRKKIaMH0WEj78nmMkUeljHGBog9PY/Qigq0jKx+tudtJc3gKpoKEBeD6F5HAFnWxZmIY+iaWi6BxEsYyKTAU1VkUItTpwYyhr4dRUpwbQlHlVhIJVnetTrzD70+IuiTNo20hMEa7TOSwiQEuELUeg8RP7wPucaCs61AmQ7jxCsDJLtTyCr55Dbu4Pc9hfJ7X4BM95Ddu92au/6HEr1dOz27aiFYeyq6Yjyeuwju51NS+mkLH0B7IEOlLGIXLjaqasM1qLXL8Cj62etZuf1QprmlKk+aZqv025+f3GF1XlM3aI6XtneyVCtwm0n1CXd9+QhHnixi9uXLeSi7LeK0Z+KNf/EBUBD2yYC3pnAKjJtm6gY2sIdTX5ag04H4PrlLcUZhGNpsFuP/pjYEWf8SHDe6pNSkzu6h9ncNsDKpvKTa8GCLcWuRIDn+juojk7jxpbrSvY9FryZbK7iqUhu20i07Zes827hnwt/wv3bh4uu72Oiszg+qMfHpg5ngPOOoyPc+/wzJJKVPNDfScZQWDtv4Uk1ZWNfw5EYia3fB7OAlPIku4UTGS9Iu579MdXpQUb8ERovWEX5Na7dgsvrjxYIYXtmoaja8dl4o4+pqoKieDCkje0Lo0gbNVaHTA8hcynsRJ8zgqZqOqF33kHmhcfxL19+PEWXSyJty6nFKmSRvjBCSgI+f3GNZRSQtoVVsFC14wLDlhLTMFEUBU1z1pb5dapDHkxbUhV0RuMoisCvKxQsiaoI7N42MPOIcCUiVgeAefBF7GMHUGNVKD4/voXLAYFaNwMxHMdbW4uVy5M/0glIVL+fUFUQPRRg5FA3R//ps4y+NARmOqlPrawSADnQiUwnsIWAXMZpza+dhSjkEBXTUMKO/YKteZ3ZgUIgyqcxVICOeBqPrjKvRud8d1c4ibdQKvBc4gqr85jbr1oDV0382AMvdrK7J8kDL3byx+8rjf6M1R11DWd5ZOth3s4hqioXEmheN2EabMzmQalcwj2L/RMKiS09bdy7+zcMDkegHV78xJqSx8d7T23paaMhGDvJxHR8595YjdT48584C/FEwkvXk+vcTJQ+VmnPsFGUsbvrWPH5x84xQ23kqfZBRDgL050RNr74BVQGdW5f1lgssj/xOYvPW9vM8JV/irXl2/grGhl54Sf0/PATJ1kmjB1/y46NxNqcOo6GS2+ha/Rr4+W3TvzDc3E5S0gj5xReB2Il0REhBOq4QcUnIoTA4/OD7/h4F9l/GMXjRSoKsuCMcfHWTMP7rtLaE1vxOJGiQgY5OiMQIbALWWzhR1FVFE3DtkyEqpYcaxgmlmWBZaGqTu2UogjmIZbo7wAAUitJREFUVpfWLOVNi4hHQUES9qrIpCPkSsat5DNgWUijgPCHUXSvIyKHe5GD3UQXXQhSovlUjOERgosuRk32IKUksvp64r/8KSLoQ9U1wtfdiB6O4qlzjCHtvsNIy8JODEAhjxqrxW7f6aT7RuLO6zUaMTPLpqN4A+i6l98+uZu/+OomZtSXs/m+P5p0uPT5imu3cHZwhdXvKbcva+SBFzu5fVkj/oZZJdGfMYH1SM+F0PUr8r7daLVOkfg6rQ04uTNPAh1lF1F7658U73v6sZ/TufUhCotXca8xwIh/mHBtJbe3XF5cM77oe0woTWTwCU40aawGaqxGaoxnXn6F2P4kzwy8wup3TCysgvNWo4S+xpaf/web+hYhkxWsnR8tsYh4uGsvqYGjdI/k8ZUlAOg72oBXE9y+rJG7V80q7vmobze7UkeKex67nvu3HmaH1cgHy2Zy1eARhvt/jJ1NlFgm3LfnSb44Wm9RUzWbD416Xl0+bzW4gsrldUBaBtberWBbKPVzEVUzXtsJgzFIDkAgilI3+bxMKQTSH0X6o3iDYWzTxMimwLawjDyKGkDVdCdadkIqTFGEk7mbIkWmCEHQ4xTYC0CWT0cppBDjjDq1uSuwIpUo5XUo4QrseCdypA+logG7UEAmBgDwxKII26Rw5ADh626m/6HvYeV7KF97A6JrB5rfh9y3Fe8NHy2eW4QqkIkeKOSdO7JDeGbMxRqOY4cqHFE1WjjvFP07Amr7vqNYtuRQV5yhkSyBqt8vYeUYhKpTr3E5Ja6w+j3l7lWzuHvVrAkfG0uzXdIW5wVA81cSaF43KhqGgPriyBkotXkYT+fWh4h1PMFuo4djcy4GYXPt3KqS5x0TSnCyTcFEomvsOU58rtWpGrJpD/5U2YTHHT9fOdv4U3aaSRZlwsieGFTE2NIWp7PTqZ16+rCKncyi+zRkspKd3Ukk8NThQdqHssUasQubK1nb6C+ZD/jJ57dwoNMHhHil+gqub5hLyjbJ7H8K76J3MvZx870DLzJYyFLu8bPi0vdTW9tMeu8Wen50z6Rdgi4ur4a8adExlEFTFGaUBVCUcTVG9smRHNuWWFKWFLOfDqL2AqiehaKeWgzoHh+WaaCMGgQLVUVoOtIyS8bRjBdP0jJBUdA1DVVVnTTiJOJKWiZqPo1X1TClwEYiNB3FX1O6X48fbcbC4vdKRSNUOMX12oyFFAa6yHccojAwgNBVgg31yL1PQT6DGU+AtFD00dmDwwMl51ZmLEJpWIDS247ZvgPF43RcKmU12JWznFmHXh+aL4iUNqrHKfa/+8ZLSSSzLJlTx7Sq07ONOJ94K420OZe4wupNjFNvdBtwGwAbN7Xy6IEBJNAQ8x+PME1g85Deu4U5nmG6q+ZTvewm1oY99KcKyMFpJWm8yYQSTCy6JrOUsOqr2dee4+CgRdeoVcL448af78LaMLdfEivxngLYvMsEGWVedZjCSJKbpy3hxkX1kD5cXDN2/Np51ScJt00drcRFD7H6AH4CXLroZjLTItzz3CYGyuZw4/RFrBhdu7Kmia50gptnLSlGuwYfvZ906+8wBrtcYeVy1kjmTAxLYlgWWdMi6HHetvMWWI1Lkbkk/tFuPTObJplJM2h5qIoEifhOP2IihIApRBU4lgma57i1gxACjz846XorM4w9MoAlVI6KckJ+DzXhUtNRmUk4xpPBMqyhY2Dk8Gp+hOpDtQqgBOEUqc2enz4IUlLz3puxRwZRwjH0Jdcx8sxnAVAUtSjk9HAQM5snfOnbkImFGPtewNNy6cmvhaajTpuDjFRg9x1CaDp2pNaxd9Ccn4E67nUAaKiO8m9/+Z4pX8PzFUesn9oAdKrHXVxhdV4z2ZDmV8v6ltqij9Wp/JrAKRSPDO2jfvE7qF33x3wInHmFbX1s1HumFErjn2Oq5wK471A/m+LDeBIK18+rLgqfyc43kffUD17qZDBrsvPYCJYt+fW+Pm5cVM9dK2eysbWHpjI/DTE/pmWzuW2ApjJ/yd7HD6PeNdTD1pFdPLf9ed515CV2NCyiKz2dLT1trK5tRlNUyn1BNGVc2FwCCNdewWVC+gZHqIyFUJQziyRF/TrJvImmCPy68//NNAyEkUPXdSytnIGMQXVIwc4OExRgK5A3fcAbn4qShpNOU6QFQpLMGiXCSmaTyG6n7lPUXuCk1wDVyhMwR407ldIarPH0/u//MPTzHwBgdB0g7M+i1jUReted6NMvwOg4gOrzIKLVCI+PipXvQw3FQFFQaqbhnXtqjyklEMGodorb9UAYRZ0iVfZ7jG1Y2IVTd/3ZhhuxmgpXWL3BnEo8nTik+bVyJgakEw0nPhOhdKbPB6AqAlURXDGzfMI054nnO/H7v77mAh54sRNbSvb2pelK5Pjkpt1EvBo7jyV525xKHrxtGcu+trlY+D/+ecZqw8aK0rvSCeZ1bmNF/BANwRhfHWou2l6M7yIco/yau9ArGqbsInR563H3l3/KQ891E/XCK//fXWfUhq+rCjMrnIhQpmCSyuaJpo4iAlHQvBRsQd6ysQCh6tiWgaJ5ipGtNxo1VI4tFIYKAikVfFqpsMyaNoXyOXjzI+j5rGPu6fFjDx7D7jmEUteM5g9jFfLYlonm9Rc7HYHSAvlsEvwaVrwHIQShS68lF/ShVdVD/xFkdgQGOrF79jlmnuFKtFlTCCtVwxMMA6Lked+MuBGrs8P58Zv3FmYy8ZTtehKpHMU3a1HJB/Vk9Udnm4lm5U0llF5NhG3semrDXjyqQt60eerw4KT1Y6fi7lWzWFwfZcNv91IZ9ICUDKQNknmrJIg0vvB/IsYE1n0vbePZqlVcHJ3J/BXvZK0WLAqpiQr0J3rNXFwANu8+hqJ5SFrQM5Smrjx0xufIFEyOJjLkTJuk6WN6NoHpL0cb7qfq2EGUmRciKhsoDHSDmiOZ0/GdA3ElpXRG14hJHNFPQKgaaqSSSqBidLBz8VxGnqzUQNfJKwpabhDZvs8J/GZSIG3s7v3YlQ2YphMpMQFl4Agyl0KdcSHV736vM8RZQsUVV5Df8wx6k/N7mnvhN9hDvRQGuvBUOjVaEsvpKFRURCZxWtcslDdvlGo80rKR1hTCaorHXVxh9YYzUWQIILH1flI7fo1eV4cSct6Isl1PMrD5O3TEl7CRt51TYfVqGBOJ27oS/O3DstiFN54TheFY3VRAV7Ck43MzFfHf3lcyVma8mNvY2lMsVr9mTiUNMX/JHEM4deH/eNqPetiWfju186r5yuUtXD7lES4uE/N//+gq/urbT7FsTg21ZZPXI40hTQNp5BG+AEIoZAomiUwer6bg1RRMEUD4faDqyGOHEPFOColjeOZdgg/wAinvnHNyLWYugz3aGeYJRc8o+nbyWoluJDH0ELqZBduiEKmhUDWbQMdLiJF+lEDYsTkQOkgbYRnIPqdu0u4/gjptHlXvfE/xjIHL3+2cWUosxY+ZM/DFyhEVdSjl9ZBOgGUiLZP0gf34vRV45yx+LS/Jmwa7YGBN0fRgF9yuwKlwhdVr5LXWQZ0Y5ch2PcnIjm+R3vs01lAWOEambRP+Bsfoc6H9LLdWQGXLH5zFqzg7jInD7x+cwe7Uyak2OLmgfUzsNJX5eerwIFDqdzURiae+S/7o7uIg5PERv/F1ZLVhr1NLtayRr6xr4b4nD/HJTbsnFHwTcaapTxeXyVi/agHrVy04rbVSSoyeNmRvO6K8DqthIYfjzngavybwaAozasqREgZHsjDvKkKvPIbXTDnu5LoXVJ1I8OQxMK8Vq2sfdrAMRv2rpG2XpOIOxdOkCibzqsN4Rj+gpZTIfAahexAnFMcL3Uc4FEHaJiJcB7ZFOpVBKhqZ6csIDx9GCVeCULGf/h/wBlGmzQZ/CJHPokSrT3rtxsRb6unfMLjFMTz2zr8EfcEqlGAMY7dznzkYx+g6hDWScIXVKFKeRipQnruI1dDQEB/72MfYtGkTAOvWreO+++4jFotNeswdd9zBAw88UHLfihUrePbZZ8/ZPqfCFVavkbPZCZbtepL45k9hJg4gfBJPw0z8s5eUzMMDeFukCbPr78l6T3+A8evBmEi89MlD7Jsg1balLc62rgSpnMG2rgT3PXmoGEla2P1D3tH2TdTQNKqMDaT3MqlgjV1xx4SDkE/k1/v6OTKUKQq88aaqpyOszrRGzMXlbCF7DkGiFzl0DFk3r3h/WbaHaEUVtuXBNAw8ChRsyM26hFDiIOhexLT5KJrnpPSVnUmR+u33EYpC6PrbESd0tJ1yP1JCPoOx8zEoq0PMvwJUlfEBqES2wO5ep5vXlpIl9THn2GQ/9kg/KCpq3QXF5o6iI7w3UHSFR9XwBwJk8wZeDdT6eQjdi9m1D4wCalWjY33g8SKDFYhQOVJK0k8/jIgfRvXoaC2r0RrnITguANS6ZpSgsx9t7uUUnvkp5mA/CAVfy/LTfh3e7NgFE3uKtOdUxe2vhQ984AN0dXXx61//GoA/+ZM/4UMf+hA///nPT3nc9ddfXzL7z+OZvIP09cAVVq+Vs9QJlt67hf5Nn0Sqx9Aq6vA3LcZXv5Jc91ZGdnwLOD6sOL75U9jZeMl9Z5ts15Nk2jYRaD5z8TZZqm1jaw87jiXJGhbpY0lG8iYZw6YrkeWj+/6Nip6DoBwhuW0jQDES9ZLeUpI+PNUg5I2tPUVLicV1YcJelduXNbKlLU7EpzGjzD9pbZWLyxuJYdnY0pmPp1bPwEr0IsIVeHWNxpCJPXSUkJ3BHjIxyx2HcL8qSRYkBS2EOu8KbNvGyCSR+Tya119ii1A4vBvrWDsAuZcfwX/pO09rX9l8gYJh4MVGhMqQqSGUQgoAG4k6Ot7FsiWKAFtCKnc8XZS3bFJKmJCdhUIBK+9E3/RAuMT3agyvruHVNcBfvE+ta8Ye7gdVdUSebSHCMWR6CGNokPTTvyay0Kmrso4dQGucR/Dy6xFeH4ovgH/u8YiU0L1ocy9FRKoIrV2EEqs+cQtvWaQtT6N4/dy0Pb/yyiv8+te/5tlnn2XFCsfY5j/+4z+47LLL2LdvH3Pnzp30WK/XS23t+ZNZcIXVa+RMO8FOFCxjqURjsAujrx+9uo7Ka76Gv2EVvb/8AJm2n4OAbNdmypZ/FnOkHTsXR/FXnNEA4zNl/8sPYnb+Dm04y+KzJN7G0nT96TxVQS9XzCyn0P0UVYOP8LxnHpfH0tTVzix5LcNL15/ShPRE3p/axPWD32NH3TtZ/vbPFNffs6mVnmSBJfVR2oeyJ43UcXF5IzGyacyRAQqqDztSgbdhPjJaDYpKMuOMlwl6dWRBJ+ONoVmW40pumYR9PsK+0b/Qpe0MIgbs1CCWkUGJ1iB8IdSySoSmOXPt7MLkmzkBK5vEnx9xxEwoCjUzQFGd78cJo2TOxLRsDg1mkMDFjeVYUvJUn8Cr+mmKhKkftV4AZ56gOMGd3cpnwLZRfMHSET2qhqflCucSpY0c7oO+NuQQqJWzELqHXPcxfI1N6Bc4H8pWKk3btx/EzmaZ//dNpLY/z/4v/zNarJyLfvD/4ak5dcnBWxHbsrGnKE4fe3xkZKTkfq/Xi9d7+lHQE3nmmWeIRqNFUQVw6aWXEo1Gefrpp08prJ544gmqq6uJxWKsWbOGe++9l+rqN04wu8LqNXKmnWCZtk2kD/yMbNcWKtZ8uVjw7W1YRPjimwgvXV8SIRKqB2nlkbkhknu+R8WaLwO8qkjS6bKlLc5/tM1lodGPll3OidUHk831m6pjcaLUWnzzt4gnX2R346UYa16kqXncYOhgBUt27mL+zn9DqVrDu1sWTbn3yr0PEc4dYlbhcZqbv1y8f0zUbe8e5rmORHE/Li7nA3K4Dw0bzUxhyDLsTMqZAQjoOhiaDztWj5HLkpE6WBCxsnhUhUDId1yECAUUzSnyziWx/DGs5BAeXwiyKTwxxw1can4GHvo2/gsWEVx0yYR7sjIj2EYeTyaBUDVHTGlehG2hlk8DaRVrpoazBvGMQUPEz7FknqzhfPgeHEgzkrcAi2khHRAoXh92Po+dz2IkB9DK6lB0D7ZZwBob5C4EQvMgM8Og6Sj+SPEahVBA1ZA4iYLC9t8RWbEK/cIrUUNR5/qkpP83vyK9z/HHGnruGY5+99sMH44DcY7++L+ZfvuHzuaP8E2BkwqcqnjdSQU2NpZG/j/3uc+xYcOGV/3cPT09E4qh6upqenp6Jj1u7dq1vO9972PGjBkcPnyYv/3bv+Xqq6/mpZdeek1C77XgCqvXmUDzOrJdW7BzcTJtmwgvXY+Z7EKNCqIr34O/YVUxqqUGatFis9EiTZgj7YQX3FYcVzMRZ8tQdGNrD0+m5/O81sKSfOSk6M6/7HyRXx/dxy9ae/n31bHiY2cSWRr/egCsbV6Hv+Fkl/X6vp+ycPg5wl6N1c3H5xje9+Qhnn3iF3zQt4PV7769eL3j66/GM9aB+FxHgsqg7haku5w35A62Mvz4z4le806kL4Tfo2ONZtIkoBZSKGYWIf0gtGLZgR6MoWlqSWRHURS8QcfKoWBkQVFAHzXj9Iwz5ew/jFfm6Pv+N5lx73+gnOBqLm0bK+NEJKRlwnA/0sihVs9AhKsAWVKIbo128wohWDOrkuqQB7+uUh/xcWgwQ8ij0lQeRMEZw4MQCDMPngBWcgClvN4RTMcvBLvvEAgFmUthHNyOCETxXLrOiXKFK0HzYB54CZkeQSaHoJABolipERLPPkXvg99B9Wr4Z8+lfNUasm37GNj93whVofzyy177D+5NyJkUr3d2dhKJHB/bM5mI2bBhA5///OdPec4XXngBmHjMkTzBouNEbr755uK/Fy5cyLJly5gxYwa//OUvee9733vK5z1XuMLqdcbfsIqKNV8uSQfmen9O+uDPiG/+FBVrvszIjm+R63gUxV+JECp6ZDq1734QgOFt95Pc8z3CC24juvSuknMnt20k+dJD5Do3o4S+dkYRrfHRpjHRMTZT78SByX3HwqTiEQ4lfdyvHi4+1lTmJ6ArmJbNPZtauTF0iFm9T5xS6E0mFMf2UN30XhL7/BTmruWeTa3FaNgDL3ZybfdjaNY2kttixfOfWH810TnPtQeYi8uZYCbijGx7iaHnniW24nK8H/44onsPUqgITwDN48NGR5oqmqYS9igI4Qw0PtUHjhYqw8yli3PslPI6lKaFTgpP11Azw3gaRqNRJyIEBTR0aSA8PsfzKZfG9obALGClTDyR4wORy/w6lDtzDGP+44KrOuTlhpZahBBIaVMYTWsKTQfLA0Jgqx7yhQK6pqHHakBKUBQsaQECe7AHmU4g0wnsoR7UygbnHP4I2oyFWN0HkcMD5B//ASy8ju77vwiKiqIqeMMeLvjsX+MpL2fmJ/+Khj++C0XXUf2lI3VcHM7ExyoSiZQIq8n46Ec/yi233HLKNU1NTezcuZPe3t6THuvv76empmaCoyamrq6OGTNmcODAgdM+5mzjCqtzTLbrSfa//CCPZJdzybJ3srq5gsye7SSeegyjt0CmZhNapAnFV4GVOkp886dQvBHnL9VQPd6qJSW1VMk938OIt5Lc8z08VYtKBJqnoQn25JHqcYuG0+VXT/yUWN9v+WHHVQSnrymKkPEjY8aoEtWofTaMe0/Pdj3JtAPfYaa5hK3ti8kYNsvzD1Gdfh442Tl+quL442nDFuAWZ5zOuGjY7csaeTZ1Naav4pQGqh//7VP8uG0ntzQv4uvXXeEKKpfzjuDSldjcD0D28AFk5x6wTBRZQGo62DoCgVRMkFlUbBRVQ1VOmLcnbTAKjhACFN2DZ1wkSvH6UWcsAMtCHtkJikbdR/56QjdxIYTTcTfcjSJtCIQQXi+2WQCPU1RuW1ZxvIsQgvLgxJ1Yx8Wf41wubRtV94AisPI5bM0Dto1pmmiqim1ZqEJBrZqJnR2B+jkw2AO+AEpZ6XuREq1CnTYXc3gATIP84X3OzEHbpnr9jQTmL8FbN624Xo9MPhrHBSzDxJoiFWgZZ9YVWFlZSWVl5ZTrLrvsMoaHh3n++edZvtzp1HzuuecYHh7m8stP30UwHo/T2dlJXV3dGe3zbOIKq3NMpm0TZufvIDfARv/FrG6uKPowWckuAktq8De9nYo1X3a6/XJx9Fgz4QW3TSg6wgtuK0asElvvJ7XrEQo9nfhvXkW+eytYOYSnjoP+NXxxXIRnMsYEztsyW6jyHmB7bpB/3DsfgK+sa5lwOPOn0z9m+rQldJRdVPScGu+xdXTOu2gfytIYugnfwRx9mcP84MHvFYXl2Pps+2+A0+tsHO93NRa5uvtvP3bSuhPTkT9u20m/6OHHbfB1rpjyeVxcXg8sW2JLia4qCFWl/k8/zfBv/pvownmg+1Bqm5GZYaSiOWJG2ggzjyKziHS/U5weqkQO9aLUzkL4Qwz94KtkDu4nfPk1RK97/0nPKTQPWtUMpGUiVQ0lVIY4xWDjgFfHVkDmckjLcKJAviB4/Fj5HEYmie4PFjv7pG0jCxmExz+hU7kQAt0XKP4bTUfx+JGFAraUFCwbq5B3OgstCyEk0hdFqB7Ui9+O0H0nRdeszAjC70e7+Fqsth144vsJt7TgmbOU0MILKRzeS6HjAJ7p58Ys9c3GG+m8Pn/+fK6//nruvPNO/u3f/g1w7Bbe9a53lRSuz5s3jy996UvccMMNpFIpNmzYwI033khdXR3t7e189rOfpbKykhtuuOGc7PN0cIXVOWRLW5wXei5kcdkwqFcUxcFYHZCvaRZS60DaFpk2J3KVS3WhBmqpWPNPE54zuvSuYgow+cIW7BGJNezUNxSO9WEl8mQjldy1NcxA+hhw6nqnsbTjDN2HaSvMLg+ytvzkAchjJLdtJHbkce5Z7Kf21uM1T6W1UrNG672eQEYFtD3FFXueoHVwL6s/8sWS9WNft7TFeeHFX3KN/3kay+ZS6GovSSGORbBOjFyd+Hp3JbJcWBsu7v+W5kX8uM356uJyPmBaNocHU9gSGqIBgl6N8OJlhBYsRGZTiHCFEzHyh7EGu4tmnBSySNtiLJ5gHWlFJnqxBjrRF11Nck8rVjbP4CO/LAorO5dGmgWUQAShOPVYQtOhesbUG80lEckBBGCGa1DK6lA1Dds0sEajUHLcpARruBeZzyBVHbWiAVVRGM4VaB/KMq8qjFc7eQSOEAKv14uUkp6RDBEFFAHSKqAkHZ8pKhrR/CGnKH8UKSUy0YvdcxA50OXUYqWGEKpCuCqId+FCzD1PokrJyKYnKP/jz6H4zr5h6psNR1idesjyuRxp84Mf/ICPfexjXHfddYBjEPrNb36zZM2+ffsYHh4GQFVVdu3axfe+9z0SiQR1dXVcddVVPPjgg4TDb1x00hVW55CNrT10dCSYWWHy59fNxN9QQbbrSfB2UP8nX2dkx7fIdrSTNVIIoWLm4sj8MLnurad1/rLVd6GFj1s9eOqqKQwEGdRM3mf8C7uDV7C+ZemU57FtE49mIv2VHFQW8f7aw8zu+u6EBqSTjeA5sVZqrNvRN2sRWloQTCVZ0fM/xDcbxUjc+PUbW3uo7/oVpm8bI3ufxRxMAyenEMe6+7oSxy0Txor2n8ssYld8OmvnVRdF19evu8KNVLmcVxi2ZMwKKG9ZBEffhoXuA6FiDXRCPo1SVoc81gYV00DVUCJVYObBNp2IUNz5AwMzj92xC/+8JaS2PYdvlmMoahdyWMO9jjgB1FDZSXuR+YxTc+Wf4EPI4wdVB9tCC5ejaKP7VDW0UZFS4kM1KrIs2yaRyhH263z3pS4AWnuSfGBpQ8npTdumbSCNENBcESLs9ZDM5wlpGr7RjkikjbAtpNBQRkWZnU9jdexxxtqMiS0pEeX1yP5OlGnN2AMdOLUK0hkLNFEdmctJ2KaJrZx6RJFtnjuD0PLycr7//e+fcs14Me/3+/nNb35zzvbzanH/t51D1rfUMjCwnQuNx4lvbi0WrY+lwMD51VdD9aj+KkgcQHpjhBfcdlrnP9HqIbbyLjy1jeR7DnHNwHaub6xi8RQ1RZHFH8FItGEmDmKZeeLJgxw1u5mmvgicnKY7XXuJ8QIs0H8FI888gFYdmzT9t76llhey78CLgRYcRos1T+gNNn6+4FhR/ZiIu2pGlp55y9yOP5fzGp+mUBP2YVo2MX9pKs4a7nXSbpoH6/A27O5DcHQ/av0ctKrpwPHhzfqiKzH3Pk1m9wuYO18mdv2HKL/hDtRQBGkZ2APtCCmRqjNKxhzspf0f/g5jeISmv/wCvvo6rD1bQEqUOcsd4TYOoerI2jlYB19AtO9AzFle9J1SJ0ghqrEaUsMJErbGSLrAxj19WLaNqijkJ4hyDKYLxDOOn1Z5oACWhYLAtEENV2ArKkLRsNJD2IDwx9B8fuyBTmQu6QhGywRVc7yvaqajzF2BPLIdmYwjqhoRgTLKLrvxlClPl3GcRioQdwjzlLjC6hyyurmCrPfDxDe3YmfjxWJtcFJg6QM/QyoairecQv8OCsc6EPY0tEsvPOlcp+OEPhYFCoxbOxVjXYptW7/OwYE0/aG3ccXCOvzZitOu05qI8QIsOG815avuLrmGLW1xnnviF1xVeI75V93C6nmrWd18G/HNu8i2/wb/3KUTCrj03i3cevTH1FaswFc2w+k+rLmSWYuhbul6vjKv5Yz26eLyeiOEOElQFbEdg0+MPHj8qPMvx44fRWmc54iloWOgeTD8ZZi2xDNjMcYj/wtA7pUXiKy9Ddu2KRgmBCpQ0wMovhDCFyT5k38h1+VEkIafeRzf+puKUSbGGXeOb2+XQ8cgn0baliNWYpN3ZwlFBX8YJWsQ8zkRqd7hPJoi+IPVs09aH/HpeFSnwzHi1UlmLZDOH5tCUR1xVchB3oleW2YBYeljL6JzU1UYHQhtd+zB3v8CSmU9QtXI9Axx5Cf/w/Q/+jBllyw73R/PW5ozMQh1mRxXWJ1FJjLInMheYfxoGif19xSYOczBPDJ7jOS2jSghUXKMkzZ8FDN1dMpi71N5XZ3ImNj5Dev5drqRtY3VrFjeAryLL05SzzSVEejp7Gvjplaqdv+CvPEyg1acoS33o0YFgQtW4W96+6SicPDR+wm1/o5bWuJ86nALjx4YoGtOHQ/e9hW2tMW5/3tOpO2ulTPdDkCX8xrbtjHyOYRQ0L1eMAvIwR5QVZRoJXYgCraJMm0OdiGHjHch8s4omaz0onh85IUH/8VXU2h/Bf9iJ+VtWRYSAb4wMp/GREFkRvCUlxGaXo2ZKRCZMxOpahCtdiI/ZfXOno4dxO7eh6ieidq4wHl+X8CxzgoeTyVKKelPF6gIOALx2HAWRQiifq34eE3Yy1MH40jg+Y5B3rHAiSQPpPJkDIu6iI9ljWXF9RG/h7xpowiKkS6he1ECUUyjAIoTLRNVTWAUsFMJR1wpox/0o+LQHuxDiZRz9Ce/ZXjbAdr+oZuypUuYftfH0GMnp0NdjmMbJvYpLDzG1ricGldYnUUmM8icSOhku55E8UbQIjPwz3g7VqYHLdgHBcc+INO2ifiBX7K5LU7lmgXMpcTdoHiOVzvPb4yx1OQ1ZVm6511ckkYb7/t04nX+ZOcxNrcN8NV1C1ndXMF9Tx7igdHBy6cz4Hh9Sy3P9b8Lb6EK7Djp3Y+gRASe2sYJC/fHxNwfpPIExs1mHD+1avycwIaY3xVWLuc1lmk6RdjSQto2hecfdoqxAf+770ZmRhDjB94aOSRge4Ko0kTieFkFV76T4Mrjc/9UVcU0DTANpAAQSMtCL6+i7u1vA92HPv8ip77K76QWhbQABXvwKABy8Cg0LkAIBYnjdl6wBd7RaNbP9/SwvXuE6TEfl04vJz26T031E/F56E3nuXR6OT/bcQzLdrofAZ5uj2NakoIl2dOXYnZFgKYyP/mCgWnZFCyJrgos2ybsdxzlNV8QZdTiQVEc13UrcQyhqqAoKMEIhCtB2liZJDKfwxwaINoQIdsdhswIQ1u3EJw7j9qbjptJupyMtCTSOvUswKked3GF1VllMiECjghq2/p1jg7niC35CLOzm7HTvQRmvmNCIaGEBJvb4vwovoTprT38v4s+ghaaVozkZLuePK1hzFOJr7HzXdC8jq80lKbRJhpBM3Z9m9sGGEgbbGx1Rg3c+8h+BrMmD7zYOaGwmijK1VO1jEzLuyg3WhE6qFGBUKbT86N7ih2BW9ri3L/1MNu7R8ibNrV1N3BVpJ6fe1ZwxcxyGmJ+bgwdoudH93BjzZV0zamb9Gfg4nI+oWoatmUihIJQFIx4DyogTYtCOkleDyLVAF5ZQMsmnKJ1QDHzeDUfZAZQo1UnnVdRFDyKwLTyoPuRqo5UVLRAxAnwTJuLEq5Amga2bSE8fkxUUuk8gbq5qAPtiPIG7GwSu3w6luolqQTIZwr4DIuKkI++VAFVEfRnDB7e38fyhhiqIugazjG9LMDXHjvIseEcf7pyJrVRH4vqHSPJzuEcVQEPectGAvv606TzBs1lPtKGjS0dF/ewpp50TSV4AkhFxZrWgmpmEVIiZi2Ftu1QMLCzSaxMmtplTfRvP4K0IbL0onPxY3xTYdunkQqcwpndxRVWZ5XJhAg4kSGldzO1lk3b7hoWXfdhgElTXv6GVVSuWcClL/6Sa/gWcHOJAMu0bTppGHO260kSW+/HGpaUrb6L4LzVU/pFjd2Xads06ZqJrvP2ZY380+MH+Z8d3Ww7mgAhKPdr3L6sccJjTozmlXy/7ng9Vs+P7qHvxZ+z+eAAdR9oYWNrD48cGGBhZifrxItcMWspbd1pnjWHuJQnubXwHD2dhwjlDzFrGTx421em3L+Ly/mAoih4/cctADyLrya39adoXh2r5xDqjAtBgpoaQpgFECqoKrYeQBhpFLOAHDIxI1UIb5BswaJ7OItPV6nz28WOOamNOpxPm4eqahi+KEbBYDhvEwlVo5s5cukUOUuQsX3UlE9DFjLIQhqJghWuwbBUkGCP1mStb6nll3t76U8XMEc9uVQEipD8785u9vYkAXimPc6GdywoXuPKpnIe3nWMoWSeBU3l6KognjWpCVrFci9hFtCyGaS36nitl5SQz4LX70Sx5l1OIZcFRUPmVEQh4/hs6V4IBFHLa5AdGWS+n5plswhf9R4Cza6X1VRYhsTi1MLJMtyI1VS4wup1ItC8DrvnED3DOZoa554URRqLLGmRpqLdwiWLP0JL7S6y7VvItPlL1ub7t4PixVe/siiKMm2bSO34NVbCqTUIzlt9kl/URJxoNHo6tA9lGcgYFEwbv66wZpYjKBfXRydcf2I0b7LoXnjpejYfHOC/zaU0jUa4uhJZrt2/g8XJl8k8u5tZosDasAmHIR1/mm51Bumay0jVXMk/vcpiexeXNxq9YRaWzwPShkMvI2dcCJkE9uGdMHsZigARrQEbRH8bAMLMwWAncV8tpuJBCEmqYGL7NbBN1L5DqLaJWTEdYRrYmgfbK9nfl2Iga+JTYVltAI+ZxO8Jo5opMHNO7ZKUSEVgIwh7FBAqfq/zkVEV8nLrkgae6xgkY1h0j+QYyhr85JkOsgWL6go/toT3LKovucaGqJ/7frKbbMHisvnV3Py2ZrKGJFmwqA3qmNk0ATOJYkqseA6tcjoAmSd/QuHATryzWghcdbNT3O71YxsGUvNBIYvw+lHKa7EzI6jTLqDpr96LtCzsTBI1HHtdf5a/r0jLRiqnFlbn0sfqzYIrrM4BJ6a9xkRT88qPs7BhFfHNny6xXMi0bcJMHSXf8zy2mUWaWRRFL0n9jRdGmbZN5HteADNHuu1/UXWnTkKLNKHENKRtokbFpGnAE/dnDcsSo9HTua71LbVsO5rg6HCOj66cSftQtsQCAUqHQjtdf8fFzurmCi42Wkk+/1+kjfUlHYR1H2gpiqqxKODTj93Cll8ZtFPFFdEUQ/VXs/lQnJXePDvLV/Oy3sK0vT56Un10JbKvqrjexeUNpZBB+IPIXAbRfBHqsf2Izt2OG1MhhxWIQn87mfA0CE/DY6Tw5BJOneFYkxw2qAq614c0Mo5IArRCxhEgPue9Yuw3fcxPS6o6qllA93iRwoTkAMIysIOVjp0B4NNV1HEpOV0VHBhIM5g1qAh4yBUsMgULj18jmbf49DVzaK5yni+TK2BaFrZQ+eT7F3FsIM2M8gCmLYl4Ncp8GgUb/B4NxbBBWpAcxo7WoOhecnteRhbyZPftIHCVUyelqaP78XrB68Xua0fUzkapnY090IWVSqCGYiihKHZmBIRAmcivy6WItCRScWusXiuusDoHnJj2GnM3H+vo0yJNoPnRIk3FVJ0SrMHKj4CRAtWHXrVoQiNNcETWSOsDQBYBxS66TNsm9IoY3mkVxFbeNWka8MT9jRmN6hVNJ9U3jZ8V+MlNu6kdeIljO3bwrvf9EY995LgdwpY2p9ZrbG167xZ6fvgJzKEu0q88Qe0HvlZyziW5XUx/6guU4aQMxlsrTJRS/UlqFj+J/QmVQZ33rVtIHfDgyG7+zb+InGGSGMqSLVj4PSrPHBlE6VCK53Jx+b1A96POX4FZMNECATBNZLgc6QlAIIYUAltRUca+hiqwfEGkYeA9sgupamg2+OZcjKIoyFA5drQGLAO1ZhZi1MFdk5KWWp2BtEFYNcHIoRQyaJ4gQtOxtRjqwBEEEi3RhQxXgu5FVRWklORMC11R6E8VKFg2AtAUQXXEx4rZ5ezsSRHyaRxKZDm8/SiXNcao8SsYEnb2DpNXBBXVIVbNrWJffwqPenyYtNR8IC2UQtZxU89nQffimb2I/J4X8M5eXPKSjR1ntO9EDnSAtDEHepy0oaKiL30baqwKO5Nw1lfNRHhdB/bJsAoWljx1V6BlnNqZ3cUVVueEidJc4zV+rnsr5kg7ue6t+OpXguZ0vAhpOYNUpYWdH5n0/P6GVYTnf5DU/gdRIzPJdm1BizSVRLfGC6nxY2M2tvbQVObnj2Z0cg0/Idt1M0pIoNcrZPc9Re7QTsAROmMCrCuRpS2epms4x635Z5mf205ymzNUc/DR+0HCxdfcxep1x8VRcttGrOQAUoKVGuCVx3/MPz0fKBahVw78hPpUnF5/Oc0TGIFO9Jp2JRw35s59j+Dv+Q2fmPt2Ng00c2AgTdRvMi3iY8exJKZlM6cq6Bawu/xeYB47jNG5H23GPAr+ShLhCCFjGF/Ii3eG42mXSSfJWQLLV01YkSAUNFVB80aQpgFDnQjbIjRjAeLYbkzdC4EY+MKokeqiqAJHjHg0lfqoUyBuZ0FqKkL1OK7aQoA3APk0IliGPxQpHts9nCFnOGN1NEXh4voo5X4NRRFIBB3xDLGRPGUBvSh6OhJZVOFHFQKf7jynT1MQgK4oGJYka0oqgx68ugbeZqyuV5DDvdhH9iAWXU34mlsIXXXTpA7qwuMbfY91RJoTxRNOFMtIQzA2dvFn68f2psSWEts+dUTKlm7EaipcYXUOODHiEln8EaxsP4X+HQw8/kkK/TuQVp5C/w5ngZlFjTXjb3o7VrYfM9mNnXMMRccLpPGpPaGoaL4KjKG9yPwwIzv+hcDMdxSjYHDc5sHpIPw0L/RcyMNHGvlwRQfvi9+HVeimd++zeGfMxsrtQY0uILT4HUXH8zFh0pXIMpA2aIj6uGz1h6jubSS8dD3JbRtJt/4OEOgVDSVRp/DS9XQlsuzIxFgcSPBgYQk/P9KLAObXhDikXUko10uN33var+mY0FsZ/18Wy+eJAw2V97CrJ8m7Fjjpyfu3HgZcHyuX3w+ktEk9/F0wDcyedrQVawFBylNGIOQ/HpERHgbzBiBRkAQ8EtM0UAXYisaR2dcSKiSoYwSQSNuC0bEwdrIfJVbr+FUZedC9JUXhij+ElJJMroAU4Nc1xLQFyN6DIBTszDBKwKmdNEbraxQBFV6JrvnIFJwIxp6+JLOqgkwvC3DJ9BiJnMHR4RxRr4Zn1G6hLuihOeYlFvQR9mpIIGfY1Eb8aKNrZHYE2X/EeYGEIP67XxB/cgtV77qJirefXCtqWjYyUAbT5kE6gVZWhyzkkWYBbcZCGD7mmJuW1SNGbRtcJsGSSDGFcHJTgVPiCqvXAX/DKgZS3ZiJNlKZ76N4IqB4MNPHUEP1xVTemAga2fEtjMQBMod/hRZpwlO1iJEd3yLftwMspzA90LwOM3UUhg5ge2KooXon7af5wcxS6Olk2P5fUE2Sux5EDVu8s3I6zPgL1gw+h9HXj7QsLNmFOdyHEggQW72S8lV3F/c9JhC3tMVpiI2mBI88zQu7WpnW0caMpW8j2HItyJNnBwbnreZH+yt4eG8fa6dV05XIcknHY1xvPc/VNRejDndyKOylIbmbQ//zMWZ/+L6iiBx88j5GnnmAyGW3l+xnTOhVaO8h3uNn2sL3sr7ieHTwVF2ZLi7nJwIlUo492Id3wTKElaXK40GLVjspP9smlTcojAoarwI2MJIzsSyTkJJG+iKkpI7pqyaKhl8WKKg6mqKhFNIw0o+dToBtQXYYyupRa5rpS+YYzBTQVUFd2EduNMWjKhI/BlIZjWhlRorCqjbsYyCVI6yBUBQqfD4yhTS9qTwjeQtFwPuW1KOrCoOZAoMZg4xpFw0/Yz6VsFcl6HMiWg1RP73JLD0jWWoifnRVQRayReGnVk/Ha/VhDScY+NVPKX/bWmeINGCbBoVMiowl8FkmuscHejVKehBlziXFKJ0srwcj58w+dDklVsHCsqdIBZpuKnAqXGH1OiH0QPGr4q9A8ZVhJTsAMFNHGdnxLcApTDcGdhcHMif3fA9/w2pyHY9i2yZ6bHZRhI2tDc56R7HGSos0YY60k93XQe7Qr7Dzg1jZQey8wB/t5YOhX2NjU8g3Mzwcx+ptx2uPoCb9FLrap7yOzq0PMePY09AnyIS86OUNxZosOF6wrlc0cevRV6itWMGKlkUAHDvSyvz+5/A8/SSK7sPvn09G1wnF20hsvb/YkTjyzAPkDu8GHphQ6EELcHPJ/S4uv48IIQi+48OYxw6h+J0Pfk2AtG3yhgFCkClYxfRL3gbNlmRMiWmrDBbgla4BABbXhglWzaRjKEPWsPAIqNcFujmItAwM1YsSm4b0BFGkZCTnjIJJ5i0G0iM0l/mRgCpwfKI0rzO/L1Re3K9X15hWFioOwhVC0FQRQtM0fLpGQyxQNAP1qMroGGSoivgp9+uYlkXetEnlTfyaIGdYxYjXSGKQ8mjUiSzlMliZYVQrR2haNdXvWEt0wTwKL/wCfeFqlHAFlpFHIAmqkpQWQrFSYFmoQjjRulFhJRTFSW26TIk8jYiVW7w+Na6wep3QY3MwRzpQ9CCYWfTKhfgbr8RMHSXX8SgSSroApW2R695aHMis+CvRQ/WUXfp3xcjOiTVV49OG6ZotJMMbSyJWamgaRn8f2YPb0WuqkOkebNNk2F9D49zlEw49Brh/62FndEwiy1+svIn+bC9Bj0r30WGm73ua5LZf4JuxhPK33VUciCw8ATzpJNNjaeBdAHTUX8281HZEphc1XEnFlXcxtPlfUOLPlnQkRi67HXhg9OvEjK8Xe+rwIP3pPFVBbzEF+GrH7ri4vN4o/jD6tDlOCswyUYJlFCxHbEjbRlcV0vnjDuy2BE0ITCTDeas4208oTn3RWOTJkpDQo0SEAroX2xtycnjASCZHddjLgf40Pak8AY9G1K87z+fxIIRAqZlVMjdwPOPvE0LQGPPTGHOEYd60+Jtf7sG0JX+4YjoBr4Y2uresKRlKO4OXwx6BX1OoCWgkk0mC5jC2DmqkErV+DjKVgGOvYBfylF2yHKGqSK8PmRyk4I9hoKIJQc4WFDQPBc1PWEng8fnAHzlpzy5TY1s2tnBnBb5WXGH1OuGrX0m+bwdCD6DH5hBZ/JFi6m+srkqLNBXXB+fcQOVVXwUgvvnTSCuPmexm6NkvMOKvwle/EnOkfVJH9fFDkKOX31SszYr/6pvYIxJRWYeYO5+ejixla/6chqvfXTx2zO0cnFolgIJls717BHPl5bz7i+/mnk2ttL/0Oz5GB57hLoZ39vH0oI852iC+gSP4Z17CK/rCoh8VwMPx6XDBJ/lQYCfhpetpnreadH20GOEa60gsX3V3SaRqIsbqrQK6wuHBLFnDwq+rNIy+uX9y024G0s5f5K6wcjmfEUIgfEHwBYv36baNaRioqoplwYF4Fq+q4FMFukdFUwQRv85v9vc7lgU+jdkVzvHlQQ/dw1k0AbuGDGw8zIp5qPM6rtlCCFIFi4qAytyqIOU+jbqyAPoJbudjeztTvvTrvTx/MI6mCn4d8+HxOMLqw8um05HIEtIckWXZ0rFAkCaVmS5nZFfeAziNMVooht28Amvbbxx3+kAEqXkwy6YxlHJsJDyaD6FINCnx6TrBaP2r2rOLg2XaWHIKg1BXWE2JK6zOIWPF5gf9azi6+yUWZfvQcwr+hiuLYsjfsIoRfxX5nucZfGYD3uol2One4mPg+FPZZhZZ6MdKdSC0AEaiDcxsybrJGB/NKlst0cJO+q46JJjWtolAc6xk/djMPcOyaYunuX1ZI23xNEeHc9z5PztYUh/hipnlcPG16KFmgnu+z/buYf7bXMpnOr4ARpZU1x5+etlX0CjtjlzRsoja5tJIlBHvIrnt50gzjzHYVfS+Gl8MfyKmZTOYzrNgZgXNFcFixGp9Sy0bW3sYSBtUBnW3M9Dl9xJFUfB4ncaOoCppKg9gWDZBTYzOF3SiVjcsrGV7d5ILa8O82DlEquDUOc0sD/LNJw/ytgtqEEKQNiVBv49cwWQwncerCaRl4h0+SmM6ju1pJq/50Lx+VG3yjwXLlrx8NEHIqxH1amzvGmb17EpCo8ahfYkMv3jmEMHyMKYlqQx4GDFtLFti2ZLygIedx4bRFMeAdGldmKCdA+mILNIJqJpR8jrgDWKlk1hH27CbLwYEAulE+RUFy7LQVYWQT3dF1WtEWhI5hfO6mwqcGldYnUMybZtIH/wZWuZ/EUaUbv8c5k5vmtgF3SqAmSXf/Qx6xXzM1FGyXU/ib1iFOdKOovnBE0ML16OOi1iNn62nhESJIeiJBqFPP/ZzOrc+ROPKm7h83mp6f/mBEn+tMcasDbZ3DzOQNmgfyvLVdQv55Kbd7O9PE08XaIj5+cq6FqAFrn433c//gj/Y/VPUyBUoh59jd9W17OpJsnZedTFiNJEhaHLbRtJ7HkGaBp7aOSAhteNXACcJq/TeLbzy+I953LOCX/c3Es8YPLy3l79/54IJ5xO6aUCXNwNCCGrDPgByhkk6VwAkybxJQFNY11LLSM7g8FAGgGPJPHnTpmekwNZDcRbVR50/hACvrlIb9WPbEiEtRC7p+EVpzvlt0zilsNpyOM7e/hRSSl48FOdIPMtLHUP87dr5APQnsvR1DhDNGVSVB/nARY082znE4XiGrkSW+TVhKvw6mw8NIBF0p0wW6FnsEef7wa1Pken4GhU33E7k0quc2XUzL3KsE17ZCtEaBBCxkpgIgmq0WJvmiqrXjiOs3Bqr14orrM4hgeZ1ZLu2EMvsx68NYUy7hcjim4t2COCILzVQixKsw073gLQwhtsxEofI9+0gNPvPyO7rQI8uI7byLgDHcLR7K5HFH2H4yf8lteNXmMkuCLZj544PZc60bSJ+4JdsbotTuWYBx7Y+RKzjCToBRlN/E/2KjO8GHF+n9NV1C4spwhMjQbOzm5mmvoh/2dupuGcTfW1x1o4zFwWK9VdwXDSFl67HiHdhJvsBsJL9eBsXnWRWOnZ8vvU3WHo/wQbntcib8qTBz253oMubFZ+uoasKA6kcIFFHa6bCXo2akJdDg2kSOYMrmsq5dm4Vx4bzNFcG+f62Lm6cX0VAV9E1DV3XkFLFitbCwBEY7gF/FDVy6t8bc3QAr4SihcJYsTpAS1MF//CHl9PRl+Sj6xbj1VWeOhQnlbfoGcnRXBnEq6ssn17OUKbAtJgfRQljx7uwB4+h+b2EZjSS3v4s4RVXkstkxsrC0BeuRvN4SYykMRQ/tqJh53LEvL6z/jq/VbEMi6kyfZbldgVOhSusziH+hlVUrPkyIzu+RQiKomr8OJv0wZ9hm1kUzY8amYGV6kbRQ9i5AaxUF/Hf3gtZL+GLb8I/bhyOtEYLQJf+GWayCzO/EyGT5ESIvfv3EPX/gkXN69jcFudH8SVMb+3hxpU30Qk0rrwJcPy1xhfMn8iJAuVUguXE0TvjR9bE25rIHHgKa6QfNVqHMdhFeu+WYh1YcN5qen50D4knvwMIgi3XkHjqu1hJp9tpvAjzJrKonhXM0UMcS+aRUk46+NnF5c3EWCG5qihUhf0Yll0UN0IIWmojzK0KYUmJV1O57RInpfbLvb3YUuIdXWuP6+hTA1EsQCukkYU0Sln1KfdwdXMlKnE8msItF9bzSm+SS2aUlay59cq5xX9btiSgq6TyliPqRlVSzK8T8+tOd2FqCLVhPpgmoaaUc611LQAog50o+STSG4LqJkayBTrTFjEveBSwFP01vqou47EtiT1FxMp2I1ZT4gqrc8xEI2nguADJdm1Bpo6i+Cqws/1g5RFCEJj1bse3qpBAhKuKHXuB5nVkDv8KM30Mo7+P5MhG1KjAThkovmkcyVTiGdnLc1t/QH7dN6lc809MH40cXd7cUoxUnWpvp8vTj/2cPY/9mH1Va5h+0TW0D9/B+nwtYwm8wUfuJ73nEdRQJVaqHxCooQryndsBTjIUNQa7MEf6yR3Zjp0dRiubRnjp+nGRsxa47v/S09rDFWV+GmJ+N93n8qbHlpL/fPYIhwczfPCiBlrqIihC4J2g2FxTlZPe1C+qjzKQzvNid5JLp8fw6MdXCF8QEamCXArhm3qOnqooXD2nqvj9FaHJDX5f6Bjia48fJOJVuW35dJZNLzspXScTvdjt25GArJ8Hfe1IFNLPPuwMka6ph6EubN2PiYJHkfg1wUDWYlpEoSzkRqvOJtI+jVTgFM7sLq6wet05UcxUrPny8Y69zZ90Ilb+Cmre+cMJhyj7G1ZRec2/kmnbRGrbS6QPfRffrMWElt5AoHkd0e5hntv6Ax7JLudIaw//76JBWqKbCHjXAa9eRJ3IlrY4Wzd9jwtHnqV9MMMD9lwyhhNDLgod4RSZd1lRymfMpyroJXfkZezsCIVj+0vONz5yNdzdipQwMO8m/mV/BV2Jw+zqSRbXPry3j7XzqkdrvFxc3txkChZ7e5MMjeT54Yud3PvuM/t/XxfxcfvF0yd9XKlpBrNQ9H06XQ4MpDg2kmdRXYS+VI6Xjg5TE/Jy5awKFEVhW1cCS0qGcib3PXKQH/3JpSefxB5NK3kCTlrykvdg93dgb3+R9NZfUn7n54nrZXjtbPHDSuJYTtREXMPPs41dsLCUKdbYbipwKlxh9QYzXmjpsTlYIx0o3hjxzZ8m0LyOijX/BDgdhvtffpBHssu5ZNk7uaQZkjt/gRKy8NRVF9etaIB8xWUcGY1Sjey4l2zHo2QPb0PzLp6y2w6cIvGhLfejRgUdMz/If/fMPCkytLG1hxfVSxjxGuytXM3tyxppH8qW1FSVv+0unh70OZYL86/lK+taOPCXF4BtUxhoL6YDx6NXNDkNQkB7214e9l7KhbVh1s6rLjm32+3n8lYh5NV46ZU+UhmDwwEdzlBYTYUQAvTTGy1lF7IgoaDoPNuRACBVMEnlDY4l8xxL5vndK71sWDufdy+s4ze7e0jnLeJ9SdI5g6BPJ2eYHB3OowioC9fgaVKQmscRWaqGFilD+EN4mxc4T2oV8BVGkGaWgh5EVz0sqAmd1dfAxUFasmj+OukaN2I1Ja6wOo8Yq3kyU0eLdVhjoivTtgmz83eQG2Cj/2JaoptQAgb+lrnFovYxxtdC9e6FnGlzbPd+QkY7jZzcbXciyW0bSe9+BCUiOJoO8PDAh4rnHcPpHLyaQ1zNJ0ZNOZ9+7Od0/vAfeXrlTVx+9bsJzltN3QdaaBpXxF5+zd30b/p/CCEYfPT+k6wVjHg7iseHGqqkceVNrE1VY1o2m9sGaCrzc/eqWW7qz+UtR1XIQypjUBk8s6jS2cTKZzCHesipfvAG8GkKOdMm4lGJeVV6UwVCHpURTaE3mXdmBpZ5+faj+/EKiaIIOgYz/P3v9vHeixoA6EnmqAmFmBkLQSaFSMcRupfYrR+DvnbM5zfiq5yJFYwgLBPbo1ET0NFySfCUT7FjlzPFlnLKIcvuEOapcYXVecT4ocljKcAxAs3r0IazkF3O+pba0dSec3+hfyfxzZ/CV78SoaglqcPI4o/wu/194BvAoJwFk7irjye8dD1msgs1Kpg2872s7ak+KUI0USF75wRdhyeuq7jubnzTFzP46P3kjmwne/BZwBF7W9riHOj2skyP0XDFHTRf/W4uB+b+/WO0xdMkt7ZPaKvg4vJm51u3X8Ljr/SxZt6pi8vPJZZlk/SWk0cHS7JqRoyMYTO9LMDheJprmyvJFCxCulZ0Yf/0jUu4dG4NF0yL0ZPI8onvv0zOlhiL6wl5VJpiTo1UpmASDIbJx/vo+/evoldUUrakxZnvl8/QFmgCIGKqVHhA5jOAK6zONgVbok1RY1VwI1ZT4gqr85CJisr9DatY3LCKxcV7jq+Jb/4URrwVM9WF5qsorh/7WlszCy/t5GuWTxmtglLX9jpgxWnuu/GErsNTnT+5bSPZtmdRw5XFwvyNrT1UdR0gZaTIHHiKzP6nQMBqVtOhzGBa5PTSFS4ubzaqIj7ev2LyOqnXgwIqqApYEgGU+1Rqo84MvuaqEKYt8agKF00/3iWoKgpXLpoGwP+83MUfXj+Xlw4M8ErXMEunl5EzbHy6UrSNyOx6ATs9Qj41jHHFVcimxaCohJMZUrZG0E6jJZKokcrX/frfClhSYk0RkZrqcRdXWL3hTFSgfqaEF9xGcs/3SiJW41m5+kNk2qKT2iq8VtJ7tzD4yP00Clj8vrsmFW/jfbFaKppQQ5XsrHsXNz8sub3/EOtbanmu/114C1VgxUnvehjbLPCRC/JEVt7r1lW5uLyBCCHwqhKP6lg+jP+AVYTAo57aoDMS1MlbkgvqI8yrdWb55S1JY7kfbdQKwlsZQ184E4mCGivHMnKIXJJqM0dNIIpQBJ6q2efuIt/iWNK5TbXG5dS4wuoNZsydPdu1hYo1X35V4iq69C6iS++a9PHXYquQ3rulpA7qxO/huHs6SPTyhkmF1dh8P4DQK49C90H6BzezO3gJD7zYyYufmMXFxkwGH/0VZrIf4Y8hskNUhbxuB6CLyxuIZdtObY0QaGK04F1KCpkUuj94Wq7nyxvL6BzO0Zox6E/mqAr7sOTx5n47mya/YwuecACBRIkfRek+gJA2MlaL7QlS6O1BD1chTuEO7/LqMaScMtVnuBGrKXH/d77BBJrXkT70K4zEQUZ2fOs1+UqdC4a23E969yOYyS52dA/DQ3cTyfeR3PYL6v/wPwjOW0146Xq6O9o4OpyjouZKxseVxkepxiJO61tqOfpsjipL4tcVFtaGiyafyW0bSbf+DhAEF1yDXtFQTBW6uLi8MYyXTZqmYeedOaVS2thGHtUztZ9UWcBDWcDDwtowu44m8OoKUkoGUnnqon5QVMycgVCyqBW1CCGdGYIAQqHji5/FTqeoeu8HqXjHqcsNXF4dlpRYU9RYuanAqXGF1RuMv2EV3urF5DoG3uitFBnedj/JPd8jvOA21KhAiQjUqKBz60PMyvSBzGMOd5PctrFYj/WD/RWOv1SqmstHz7OlLc6d/7ODjkSW7zzfweffPrcYeXr6mrs4srWG5pU38eLVa0jv3ULPj+7niKwkr9VQnuvmYN8wL7dLqtVuPjTvjXs9XFze6iiKQsDnRUqJqiiYvd3Y/hgU0iAq4DSEVfFcQtBYHmTXsRFMW5IqWFQEPXi8Pspv/wzmUB96VQ2ytw0qpoPuw/aEkYU8AEJ/4zoj3+xYEqZyqXJTgVPjCqvzgKlGy7zeDD31TfIdBzEHR6i54d/x1DYSaF5HY1WCnmwvDVqKaM20kkjS+GgUOKLqk5t205XIkjdt8qbNvY/sZ3F9lNXNFVx+9btJ10edCNXeKIOP3k+69Xf0xZYjcxZlRhZf13PMJcS+54H33/JGvBQuLi6jqMpx50hhG6i9e0FREZXTzvhcMb9O0KOSyptEfWrx3Gq0HDU62u03a9nx5wZmfu7rFAZ6CS5Y8louw+UUFGyJKqboCnQjVlPiCqvzgNc6WuZskt67hcKRNPYImINpgKL56OUNlIzEGc94W4WiqBrOcX3ZQVbrz7Jp5GL2cCEbW3uK65LbNjLywkOkX3kCxR9FGjlmDjxLT3A25KLkqi5mXyZC9fL3nvsLd3FxmZBc1wGsgy9i1swmMm8ZQgiMnqMkd27DV1tLqLIJKs9sXqciBMsayzAsG0WIYlfgqfDUTsNTe+YizuX0sU8jYuW6LUyNK6xcSkhu2wiWQHhDWMlhElvvx3/zmYm+ja09DKQNGqI+PlLTStnQy7RcEObh0NqSzj69ogm7kEMOdhGYNxvhDaOkB2kwOtGilcyf38JVt37lbF+ii4vLGWB1tKIWMihHW7HnXowqBL2/e4Sjv30eT0DnwgUr8L1K9wNdnWJ+isvriltjdXZwhZVLCXpFE2q4ElWpwBw8gjV85r9E49OCL7x4BWZ6mN2FC7lzRelYnMz+p8DIIvwxEBC4YBXpVx5F8UfxNi5yi9ZdXM4D1KYLsQ68gFU7B99o91/yWI5MX5oMYBga7ijkNwcFG5QpU4Gv02Z+j3GFlUsJRrwdWcjgbVhEcO5VSNOk7e8uJnbFHVRcd/dpnaPUbf2dfLJ7BgNpg+pxaUDAaTVSNYTHR75zJ8ITQAgFOz1Ar1LB1/dXsF6PuyNsXFzeQHz1zVDfXHJf/a0fpHfLC/gbGwhMP7M0oMv5i1u8fnZwhZVLCWNRojGfqra/u5j80d0knvruaQur8axuruD2ZY18c2s727oSbGk7LpTK33YXenkDekUTRrwdvaKp6Lb+c8+KoueVK6xcXM4vKlZeytUvPoXQVITipvPeLLipwLODK6xcShg/zia9dwuKP4pe0UTsijte9Tnbh7LE0wUG0oWS4vXxzzXGmHhb0RanZ9zwZhcXl/MLxaO/0VtwOcuYUmJMIaxMV1hNiSusXCYluW0jRl8bargS3/TFUx8wCetbaulKZIv/Ph0mGvLs4uLi4nLucFOBZwc3husCQPy399H2dxcT/+19xfvCS9cjpU2+axd9P9vwqs+9urmCB29bxoO3LXPFkouLi8t5ytgQ5qlu54p7772Xyy+/nEAgQCwWO61jpJRs2LCB+vp6/H4/V155Ja2tredsj6eDK6xcAEg89d1iLdUYxTSdZVDoPfDGbMzFxcXF5XWhYMvTup2z5y8UeN/73sdHPvKR0z7mH//xH/nqV7/KN7/5TV544QVqa2u59tprSSaT52yfU+EKKxcAYlfcgXfawpNqqbw1c0DzOV9dXFxcXN602HI0HXiK27k0CP385z/PJz7xCS688MLTWi+l5Otf/zp//dd/zXvf+14WLlzIAw88QCaT4Yc//OG52+gUuDVWLoBTND5R11/VDRtIbtvoekq5uLi4vMnJSmvKVF8BG4CRkZGS+71eL16v95ztbSIOHz5MT08P1113Xck+1qxZw9NPP82f/umfvq77GcMVVi6nZKLOPRcXFxeXNw8ej4fa2lq+13P0tNaHQiEaG0v9yz73uc+xYcOGc7C7yenp6QGgpqam5P6amhqOHDnyuu5lPK6wcnFxcXFxeQvj8/k4fPgwhULhtNZLKRGidL7jZNGqDRs28PnPf/6U53vhhRdYtmzZKdecihP3MtH+Xk9cYeXi4uLi4vIWx+fz4fOd/eFEH/3oR7nllltOuaapqelVnbu21rHv6enpoa6urnh/X1/fSVGs1xNXWLm4uLi4uLicEyorK6msfJVTuqdg5syZ1NbW8rvf/Y6lS5cCTmfh5s2b+Yd/+Idz8pyng9sV6OLi4uLi4vKG09HRwfbt2+no6MCyLLZv38727dtJpVLFNfPmzeNnP/sZ4KQAP/7xj/PFL36Rn/3sZ+zevZs77riDQCDABz7wgTfqMtyIlYuLi4uLi8sbz9/93d/xwAMPFL8fi0I9/vjjXHnllQDs27eP4eHh4pq//Mu/JJvN8ud//ucMDQ2xYsUKfvvb3xIOh1/XvY9HSOkO/nFxcXFxcXFxORu4qUAXFxeXtyBXXnklH//4x0+6/yc/+QkrVqwgGo0SDodpaWnhnnvuKT7+3e9+FyEE119/fclxiUQCIQRPPPFE8T4hxIS3H//4x5Pu69///d+58soriUQiCCFIJBKv9VJdXF5XXGHl4uLi4gLAI488wi233MJNN93E888/z0svvcS99957Uhu+pmk8+uijPP7441Oe8zvf+Q7Hjh0rub3nPe+ZdH0mk+H666/ns5/97Gu9HBeXNwS3xsrFxcXlLcYdd9zB5s2b2bx5M9/4xjcAx8X6F7/4BVdccQWf/vSni2svuOCCk4RQMBjk/e9/P3/1V3/Fc889d8rnisVixbb402EsijY+8uXi8vuEG7FycXFxeYvxjW98g8suu4w777yzGEVqbGyktraW1tZWdu/ePeU5NmzYwK5du3jooYdehx27uPz+4AorFxcXl7cY0WgUj8dDIBCgtraW2tpaVFXl7rvv5pJLLuHCCy+kqamJW265hf/6r/8in8+fdI76+nr+4i/+gr/+67/GNM1Jn+vWW28lFAqV3A4dOnQuL8/F5Q3FFVYuLi4uLoCT4vvlL3/JwYMH+Zu/+RtCoRD33HMPy5cvJ5PJnLT+//yf/0N/fz//9V//Nek5v/a1rxX9iMZuJ86Zc3F5M+EKKxcXFxeXEpqbm/njP/5j/vM//5OXX36ZPXv28OCDD560LhaL8ZnPfIbPf/7zEwovcMaOzJ49u+Sm6/q5vgQXlzcMV1i9yXFbql1cXCbC4/FgWdaU65qamggEAqTT6Qkfv/vuu1EUpVgE7+LyVsftCnwLMtZS/cUvfpF169YhhGDPnj08+uijJevGt1RfddVVpzznd77znZNEWCwWm3T9WEv19ddfz2c+85lXfS0uLi6vjqamJp577jna29sJhUKUl5fzhS98gUwmwzve8Q5mzJhBIpHgn//5nzEMg2uvvXbC8/h8Pj7/+c9z1113Tfh4IpGgp6en5L5wOEwwGJxwfU9PDz09PRw8eBCAXbt2EQ6HmT59OuXl5a/hil1cXieky5uW22+/XQIlt8OHD8u/+Iu/kFdeeeUpj/3Od74jo9GovPPOO+Xy5cuL9w8NDUlAPv7448X7APmzn/3sVe3x8ccfl4AcGhp6Vce7uLi8Ovbt2ycvvfRS6ff7i+8Njz32mLzxxhtlY2Oj9Hg8sqamRl5//fXyySefLB439t4wHtM05YIFCyZ8b5jo9qUvfWnSfX3uc5+b8JjvfOc7Z/kVcHE5N7gRqzcx3/jGN9i/fz8LFy7kC1/4AgBVVVXU1tbywx/+kN27d7Nw4cJTnmPDhg3Mnj2bhx56iJtuuun12LaLi8vrwAUXXMAzzzxTcl9TU9OU0ek77riDO+64o+Q+VVVpbW09aa18FRPTNmzYwIYNG874OBeX8wW3xupNjNtS7eLi4uLi8vriCqu3IG5LtYuLi4uLy7nBFVZvYdyWahcXFxcXl7OLK6ze5Lgt1S4uLi4uLq8fbvH6mxy3pdrFxcXFxeX1w41Yvcn51Kc+haqqLFiwgKqqKjo6OlizZg2HDh3itttuY968eaxdu5aenh5++9vfMnfu3EnPdfvttzNr1qwJH/vwhz9MXV1dye2+++6b9Fz/+q//ytKlS7nzzjsBWL16NUuXLmXTpk2v7YJdXFxcXFzeQIR8Nf2wLi4uLi4uLi4uJ+FGrFxcXFxcXFxczhKusHJxcXFxcXFxOUu4wsrFxcXFxcXF5SzhCisXFxcXFxcXl7OEK6xcXFxcXFxcXM4SrrBycXFxcXFxcTlLuMLKxcXFxcXFxeUs4QorFxcXFxcXF5ezhCusXFxcXFxcXFzOEq6wcnFxcXFxcXE5S7jCysXFxcXFxcXlLOEKKxcXFxcXFxeXs8T/D5ho9uNcrRQBAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig,ax = plt.subplots(ncols=2)\n", "\n", "include = metadata[\"admin.disease_code\"].astype(str) != \"nan\"\n", "tsne_z_ = tsne_z[include,:]\n", "cancer_types = metadata[\"admin.disease_code\"].loc[include]\n", "\n", "for ix, i in enumerate(np.unique(cancer_types.astype(str))):\n", " ax[0].scatter(tsne_z_[cancer_types==i,0],tsne_z_[cancer_types==i,1],s = 1,alpha=0.6, c=sns.color_palette(\"colorblind\", as_cmap=True)[ix], label=i)\n", "ax[0].set_aspect(\"equal\")\n", "ax[0].spines['top'].set_visible(False)\n", "ax[0].spines['right'].set_visible(False)\n", "ax[0].spines['left'].set_visible(False)\n", "ax[0].spines['bottom'].set_visible(False)\n", "ax[0].set_xlabel(\"tSNE 1\")\n", "ax[0].set_ylabel(\"tSNE 2\")\n", "ax[0].tick_params(\n", " axis='both', # changes apply to the x-axis\n", " which='both', # both major and minor ticks are affected\n", " bottom=False, # ticks along the bottom edge are off\n", " top=False, \n", " left=False,# ticks along the top edge are off\n", " labelbottom=False,\n", "labelleft=False,) # labels along the bottom edge are off\n", "\n", "\n", "divnorm=mp_colors.TwoSlopeNorm(vmin=-1, vcenter=0, vmax=1)\n", "plot = ax[1].scatter(tsne_z_[:,0],tsne_z_[:,1],s = 1,alpha=1, c=model.Z[:,9],cmap=\"RdBu\", norm=divnorm)\n", "ax[1].set_aspect(\"equal\")\n", "#plt.colorbar(plot) \n", "divider = make_axes_locatable(ax[1])\n", "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n", "plt.colorbar(plot, cax=cax, label=\"Factor 10\") \n", "ax[1].spines['top'].set_visible(False)\n", "ax[1].spines['right'].set_visible(False)\n", "ax[1].spines['left'].set_visible(False)\n", "ax[1].spines['bottom'].set_visible(False)\n", "ax[1].set_xlabel(\"tSNE 1\")\n", "ax[1].set_ylabel(\"tSNE 2\")\n", "ax[1].tick_params(\n", " axis='both', # changes apply to the x-axis\n", " which='both', # both major and minor ticks are affected\n", " bottom=False, # ticks along the bottom edge are off\n", " top=False, \n", " left=False,# ticks along the top edge are off\n", " labelbottom=False,\n", "labelleft=False,) # labels along the bottom edge are off\n" ] }, { "cell_type": "markdown", "id": "2c985703-f0a2-4c22-88a2-04f6f1d2ff91", "metadata": {}, "source": [ "As we can see from the tSNE of only the unguided factors, the cancer type information is regressed from the latent space. \n", "To quantify the how much of the cancer label information was regressed out. We performed multiple SOFA runs guided by cancer labels and fully unguided \"null\" models. \n", "Then calculated the ARI for the cancer type labels on either all, only the unguided factors or the fully unguided latent space." ] }, { "cell_type": "code", "execution_count": 22, "id": "c157cb84-1f6d-4178-8056-72326e4cb54d", "metadata": { "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_1014/412390681.py:9: UserWarning: FixedFormatter should only be used together with FixedLocator\n", " ax.set_xticklabels(ax.get_xticklabels(), rotation=90)\n" ] }, { "data": { "text/plain": [ "Text(0, 0.5, 'Adjusted Rand Index')" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "stats = pd.read_csv(\"data/tcga/pan_gyn_integrations_stats.csv\", index_col=0)\n", "stats = stats.dropna(axis=1)\n", "stats = stats[np.sort(stats.columns)]\n", "ari = stats.iloc[:,0:4]\n", "ari.columns =[\"Guided model\", \"Only unguided factors\", \"Null model rank 12\", \"Null model rank 7\"]\n", "\n", "fig,ax = plt.subplots()\n", "ax.bar(ari.columns, height=np.mean(ari,axis=0),yerr=np.std(ari,axis=0),capsize=4)\n", "ax.set_xticklabels(ax.get_xticklabels(), rotation=90)\n", "ax.set_ylabel(\"Adjusted Rand Index\")" ] }, { "cell_type": "markdown", "id": "54a21463-c0e0-4ef6-8f62-af5f449b1281", "metadata": {}, "source": [ "#### Survival analysis with SOFA factors\n", "\n", "Here we test whether the inferred SOFA factors are associated with overall survival (OS) or progression free survival (PFI).\n", "We use univariate Cox regression for each factor individually. " ] }, { "cell_type": "code", "execution_count": 23, "id": "a533257c-c597-43b6-9504-65845a364e96", "metadata": { "tags": [] }, "outputs": [], "source": [ "# get overall survival data\n", "OS = mdata.obs[[\"OS\", \"OS.time\"]].astype(float)\n", "# get progression free interval data\n", "PFI = mdata.obs[[\"PFI\", \"PFI.time\"]].astype(float)" ] }, { "cell_type": "code", "execution_count": 24, "id": "8174bce5-f1bc-4f8f-835d-9d1582066b35", "metadata": { "tags": [] }, "outputs": [], "source": [ "Z_pred = model.Z.copy()\n", "# flip sign of factor 3 and 5\n", "Z_pred[:,2] = Z_pred[:,2]*-1\n", "Z_pred[:,4] = Z_pred[:,4]*-1\n", "\n", "# output df\n", "OS_cox = pd.DataFrame(columns=[\"factor\", \"hazard_ratios\",\"lower\", \"upper\", \"pvalues\"], index=range(Z_pred.shape[1]))\n", "\n", "for i in range(Z_pred.shape[1]):\n", "\n", " cph = CoxPHFitter()\n", "\n", " cox_data = OS\n", " factor = pd.Series(Z_pred[:,i], index=cox_data.index)\n", " \n", " d= pd.concat((cox_data, factor), axis=1)\n", "\n", " d= d[~d.isna().any(axis=1)]\n", " cph.fit(d, duration_col = 'OS.time', event_col = \"OS\")\n", " OS_cox.loc[i,\"pvalues\"] = cph.summary[\"p\"][0]\n", " OS_cox.loc[i,\"hazard_ratios\"] = cph.summary[\"exp(coef)\"][0]\n", " OS_cox.loc[i,\"lower\"] = cph.summary[\"exp(coef) lower 95%\"][0]\n", " OS_cox.loc[i,\"upper\"] = cph.summary[\"exp(coef) upper 95%\"][0]\n", " OS_cox.loc[i,\"factor\"] = \"Factor \"+str(i+1)" ] }, { "cell_type": "markdown", "id": "86945118-456e-464c-8b8d-7719ba98173a", "metadata": {}, "source": [ "Here we visualize the fitted coefficients (hazard ratios) and p-values to identify which factors are associated with survival." ] }, { "cell_type": "code", "execution_count": 25, "id": "cf165790-ac82-4c4b-8d13-d07062bbfed9", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot forest plot with hazard ratios and confidence interval \n", "import statsmodels.api as sm\n", "fig,ax = plt.subplots()\n", "ci = pd.concat((OS_cox[\"hazard_ratios\"]-OS_cox[\"lower\"], OS_cox[\"upper\"]-OS_cox[\"hazard_ratios\"]), axis=1).T\n", "OS_cox[\"padj\"] = statsmodels.stats.multitest.multipletests(OS_cox[\"pvalues\"].astype(float))[1]\n", "pvals = [\"P=\" + np.format_float_scientific(i,precision=2)for i in OS_cox[\"padj\"].values]\n", "sig = OS_cox[\"padj\"].values < 0.01\n", "nonsig = OS_cox[\"padj\"].values >=0.01\n", "ax.errorbar(y=OS_cox[\"hazard_ratios\"][nonsig], x=OS_cox.index.values[nonsig]+0.5, yerr=ci.values[:,nonsig],\n", " color='black', capsize=5, linestyle='None', linewidth=1,\n", " marker=\"o\", mfc=\"black\", mec=\"black\", label=\"adj. p-value > 0.01\")\n", "ax.errorbar(y=OS_cox[\"hazard_ratios\"][sig], x=OS_cox.index.values[sig]+0.5, yerr=ci.values[:,sig],\n", " color='black', capsize=5, linestyle='None', linewidth=1,\n", " marker=\"o\", mfc=\"#ff7f0e\", mec=\"#ff7f0e\", label=\"adj. p-value < 0.01\")\n", "ax.axhline(y=1, linewidth=0.8, linestyle='--', color='black')\n", "ax.tick_params(axis='x', which='minor',bottom=False)\n", "ax.set_ylabel('Hazard ratios \\n(95% CI)')\n", "ax.set_xticks(ticks= np.arange(12)+0.5, labels=[\"Factor\" +str(i) for i in range(1,13)], rotation=90)\n", "\n", "nonsig_patch = mpatches.Patch(color='black', label=\"adj. p-value > 0.01\")\n", "sig_patch = mpatches.Patch(color='#ff7f0e', label=\"adj. p-value < 0.01\")\n", "\n", "ax.legend(handles=[nonsig_patch, sig_patch], frameon=False, ncols=2)" ] }, { "cell_type": "markdown", "id": "7fd155f8-5dba-45c6-a32e-db9cab48ed5c", "metadata": {}, "source": [ "Factor 10 is significantly associated with overall survival. We can further investigate its association to OS by plotting Kaplan-Meier curves:" ] }, { "cell_type": "code", "execution_count": 26, "id": "9fc77870-736c-404d-8a0a-c60db04e08c7", "metadata": { "tags": [] }, "outputs": [], "source": [ "\n", "mask = ~OS.isna().any(axis=1)\n", "OS = OS.dropna()\n", "PFI = PFI.dropna()\n", "f10 = Z_pred[mask,9]" ] }, { "cell_type": "code", "execution_count": 27, "id": "2fe23155-e127-4b06-ae8d-416a7dd57982", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot Kaplan Meier curve for factor 10 and PFI\n", "\n", "low,high = np.percentile(f10, [50,95])\n", "\n", "fig,ax = plt.subplots()\n", "kmf = KaplanMeierFitter()\n", "results = logrank_test(PFI['PFI.time'][f10>high], PFI['PFI.time'][f10high], event_observed_B=PFI['PFI'][f10high], PFI['PFI'][f10>high], label=\"Factor 10 high\")\n", "kmf.plot(ax=ax,ci_show=False)\n", "kmf = KaplanMeierFitter()\n", "kmf.fit(PFI['PFI.time'][f10" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot Kaplan Meier curve for factor 10 and OS\n", "\n", "fig,ax = plt.subplots()\n", "results = logrank_test(OS['OS.time'][f10>high], OS['OS.time'][f10high], event_observed_B=OS['OS'][f10high].dropna(), OS['OS'][f10>high].dropna(), label=\"Factor 10 high\")\n", "kmf.plot(ax=ax, ci_show=False)\n", "kmf = KaplanMeierFitter()\n", "kmf.fit(OS['OS.time'][f10\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
IGF2DLK1CYP17A1APOESLPICYP11B1STARH19GNASGAPDH...LRRN4CLSLC25A1ARID5BRHOQPDE6GKIAA0664FAM134APEX6NARFTRAF7
Factor_1 (brca)0.2569770.4648540.4259840.1098581.1125750.1038720.5294340.2868090.4987091.013466...0.3674140.5871680.0270220.0645190.2558640.737403-0.4681080.2641540.9996870.338431
Factor_2 (cesc)-0.371340-0.627032-0.278327-0.231412-0.3203790.021412-0.323378-0.197620-0.858876-0.654136...-0.292036-0.237705-0.305694-0.874484-0.383729-0.336187-0.245804-0.461135-0.451547-0.009286
Factor_3 (ov)-0.558795-0.102920-1.380738-0.295772-0.2454360.169791-0.371026-0.3269480.071627-0.148008...-0.026116-0.034537-0.406462-0.257028-0.613797-0.093484-0.939213-0.1583560.479365-0.332378
Factor_4 (ucec)0.3216590.2749810.148637-0.8329700.0206470.033767-0.2023980.065250-1.134238-1.619760...0.295630-1.4654901.5379560.259835-0.7073340.781751-0.384141-0.071286-0.7217240.367421
Factor_5 (ucs)-0.246544-0.396687-0.053422-0.0282210.059327-0.0593120.274254-0.084729-0.194032-0.108764...0.0928160.2527330.035070-0.412078-0.0652570.3249850.109216-0.0719690.0085880.196552
Factor_60.056331-0.0187160.026955-0.2450570.252097-0.084610-0.3081680.1205810.316507-0.160259...0.1068470.2296310.0299020.188749-0.011532-0.2163730.151458-0.0314760.122704-0.108069
Factor_70.9440830.190422-0.0574851.7650030.0455930.235488-0.1191390.7202820.056930-0.210789...1.7723690.1577640.8195170.6253111.294285-0.240169-0.199078-0.3217320.018755-0.211537
Factor_80.5677290.8665020.3090590.263794-0.7526900.0492910.931249-0.032493-0.359230-0.975684...0.737753-0.6967830.189181-0.0567640.683843-0.0672480.5737680.351589-0.339139-0.256080
Factor_91.3615040.4626940.173420-0.463739-0.196467-0.239038-0.2034520.7350640.491511-0.076739...1.2477410.3583470.2860290.187339-0.728862-0.4150170.2494480.128513-0.1401650.117316
Factor_100.2802530.6289800.0003140.263023-0.880207-0.0049850.116316-0.2136800.9272430.325137...-0.4422850.154566-0.5819670.3410460.377159-0.124212-0.156052-0.3330310.9643070.109611
Factor_11-0.017417-0.0493150.0369150.014929-0.0232900.029108-0.020272-0.0015920.028506-0.010991...-0.017803-0.1237920.022235-0.0629880.032762-0.021049-0.0522740.0120720.063581-0.015236
Factor_12-0.046363-0.025982-0.078152-0.9908450.123614-0.0200910.017208-0.359655-0.125432-0.198495...0.023031-0.9381300.8214550.410206-0.300631-0.820548-0.382904-0.754267-0.709637-0.756123
\n", "

12 rows × 4436 columns

\n", "" ], "text/plain": [ " IGF2 DLK1 CYP17A1 APOE SLPI CYP11B1 \\\n", "Factor_1 (brca) 0.256977 0.464854 0.425984 0.109858 1.112575 0.103872 \n", "Factor_2 (cesc) -0.371340 -0.627032 -0.278327 -0.231412 -0.320379 0.021412 \n", "Factor_3 (ov) -0.558795 -0.102920 -1.380738 -0.295772 -0.245436 0.169791 \n", "Factor_4 (ucec) 0.321659 0.274981 0.148637 -0.832970 0.020647 0.033767 \n", "Factor_5 (ucs) -0.246544 -0.396687 -0.053422 -0.028221 0.059327 -0.059312 \n", "Factor_6 0.056331 -0.018716 0.026955 -0.245057 0.252097 -0.084610 \n", "Factor_7 0.944083 0.190422 -0.057485 1.765003 0.045593 0.235488 \n", "Factor_8 0.567729 0.866502 0.309059 0.263794 -0.752690 0.049291 \n", "Factor_9 1.361504 0.462694 0.173420 -0.463739 -0.196467 -0.239038 \n", "Factor_10 0.280253 0.628980 0.000314 0.263023 -0.880207 -0.004985 \n", "Factor_11 -0.017417 -0.049315 0.036915 0.014929 -0.023290 0.029108 \n", "Factor_12 -0.046363 -0.025982 -0.078152 -0.990845 0.123614 -0.020091 \n", "\n", " STAR H19 GNAS GAPDH ... LRRN4CL \\\n", "Factor_1 (brca) 0.529434 0.286809 0.498709 1.013466 ... 0.367414 \n", "Factor_2 (cesc) -0.323378 -0.197620 -0.858876 -0.654136 ... -0.292036 \n", "Factor_3 (ov) -0.371026 -0.326948 0.071627 -0.148008 ... -0.026116 \n", "Factor_4 (ucec) -0.202398 0.065250 -1.134238 -1.619760 ... 0.295630 \n", "Factor_5 (ucs) 0.274254 -0.084729 -0.194032 -0.108764 ... 0.092816 \n", "Factor_6 -0.308168 0.120581 0.316507 -0.160259 ... 0.106847 \n", "Factor_7 -0.119139 0.720282 0.056930 -0.210789 ... 1.772369 \n", "Factor_8 0.931249 -0.032493 -0.359230 -0.975684 ... 0.737753 \n", "Factor_9 -0.203452 0.735064 0.491511 -0.076739 ... 1.247741 \n", "Factor_10 0.116316 -0.213680 0.927243 0.325137 ... -0.442285 \n", "Factor_11 -0.020272 -0.001592 0.028506 -0.010991 ... -0.017803 \n", "Factor_12 0.017208 -0.359655 -0.125432 -0.198495 ... 0.023031 \n", "\n", " SLC25A1 ARID5B RHOQ PDE6G KIAA0664 FAM134A \\\n", "Factor_1 (brca) 0.587168 0.027022 0.064519 0.255864 0.737403 -0.468108 \n", "Factor_2 (cesc) -0.237705 -0.305694 -0.874484 -0.383729 -0.336187 -0.245804 \n", "Factor_3 (ov) -0.034537 -0.406462 -0.257028 -0.613797 -0.093484 -0.939213 \n", "Factor_4 (ucec) -1.465490 1.537956 0.259835 -0.707334 0.781751 -0.384141 \n", "Factor_5 (ucs) 0.252733 0.035070 -0.412078 -0.065257 0.324985 0.109216 \n", "Factor_6 0.229631 0.029902 0.188749 -0.011532 -0.216373 0.151458 \n", "Factor_7 0.157764 0.819517 0.625311 1.294285 -0.240169 -0.199078 \n", "Factor_8 -0.696783 0.189181 -0.056764 0.683843 -0.067248 0.573768 \n", "Factor_9 0.358347 0.286029 0.187339 -0.728862 -0.415017 0.249448 \n", "Factor_10 0.154566 -0.581967 0.341046 0.377159 -0.124212 -0.156052 \n", "Factor_11 -0.123792 0.022235 -0.062988 0.032762 -0.021049 -0.052274 \n", "Factor_12 -0.938130 0.821455 0.410206 -0.300631 -0.820548 -0.382904 \n", "\n", " PEX6 NARF TRAF7 \n", "Factor_1 (brca) 0.264154 0.999687 0.338431 \n", "Factor_2 (cesc) -0.461135 -0.451547 -0.009286 \n", "Factor_3 (ov) -0.158356 0.479365 -0.332378 \n", "Factor_4 (ucec) -0.071286 -0.721724 0.367421 \n", "Factor_5 (ucs) -0.071969 0.008588 0.196552 \n", "Factor_6 -0.031476 0.122704 -0.108069 \n", "Factor_7 -0.321732 0.018755 -0.211537 \n", "Factor_8 0.351589 -0.339139 -0.256080 \n", "Factor_9 0.128513 -0.140165 0.117316 \n", "Factor_10 -0.333031 0.964307 0.109611 \n", "Factor_11 0.012072 0.063581 -0.015236 \n", "Factor_12 -0.754267 -0.709637 -0.756123 \n", "\n", "[12 rows x 4436 columns]" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# specify the view of which we want to retrieve the loadings\n", "W = sofa.tl.get_loadings(model, view=\"rna\")\n", "W" ] }, { "cell_type": "code", "execution_count": 30, "id": "37b1b42b-fdea-4402-95ad-91229fd4eabf", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot top loadings for factor 1 (breast cancer)\n", "sofa.pl.plot_top_loadings(model, view=\"protein\", factor = 1, top_n=10)" ] }, { "cell_type": "code", "execution_count": 31, "id": "0cd15d60-1caf-4bc2-b75b-fb06a3e722f0", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAmwAAAGwCAYAAAAUgTnsAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAAB4OklEQVR4nO3de1hU1foH8O/mNoDgKChnRgEBURBJvOSdo5A3tEjLjDRMtDTRLKPMOJWIN7SszEzygqBhiqWZ0InSBC+loikqUZoBWTakeZnhIiMM+/cHP/Zx5CL3GeD7eZ79HPfaa+/9roHTvKy191qCKIoiiIiIiMhomRg6ACIiIiKqHhM2IiIiIiPHhI2IiIjIyDFhIyIiIjJyTNiIiIiIjBwTNiIiIiIjx4SNiIiIyMiZGToAqp3S0lL89ddfsLW1hSAIhg6HiIiIakAUReTl5aFTp04wMal9fxkTtmbmr7/+gpOTk6HDICIiojr4448/4OjoWOvzmLA1M7a2tgDKfuBt27Y1cDRERERUExqNBk5OTtL3eG0xYWtmyodB27Zty4SNiIiomanr40x86YCIiIjIyDFhIyIiIjJyTNiIiIiIjBwTNiIiIiIjx4SNiIiIyMgxYSMiIiIyckzYiIiIiIwcEzYiIiIiI8eEjYiIiMjIcaUDIiIiIgC6UhFp2TdwNa8IDraWGOBqB1OTuq1M0NAM2sMWEhICQRAqbAEBAQAAFxeXSo+vXLkSAJCTk1Pp8eDgYOkeL730Evr16weZTIbevXtXG4+HhwcsLCxw5cqVCsf27NmDMWPGoEOHDhAEAenp6RXq3B2vtbU1vL29sWHDBr06H330EXr06AErKyt4eHhg27ZttfzUiIiIqKElZ6jgu+ogJm86jpd2pmPypuPwXXUQyRkqQ4cGwAh62AICAhAbG6tXJpPJpH8vWbIEM2fO1Dt+78KpBw4cQM+ePaV9Kysr6d+iKGLGjBk4ceIEzp07V2UcR48eRVFRESZNmoS4uDi88cYbescLCgowdOhQTJo0qUI8dyuPNz8/H3FxcZg9ezbatWuHoKAgREdHIzw8HJs2bUL//v2RlpaGmTNnon379ggMDKzymkRERNR4kjNUCI0/DfGe8lx1EULjTyM6uC8CvJUGia2cwRM2mUwGhUJR5XFbW9tqjwOAvb19lXXWrl0LALh27Vq1CVtMTAymTJmC4cOHY+7cufjPf/6jt0Dr1KlTAZT16lXn7niXLVuGXbt2Ye/evQgKCsInn3yC559/HkFBQQAANzc3HD9+HKtWrWLCRtSClOhKDR0CEdWQrlTE4n0/VUjWAEAEIACITMzEKC+FQYdHDZ6wGYO8vDx89tlnOHHiBDw9PVFQUIDU1FT4+/vX+9qWlpYoLi4GAGi1WlhaWuodt7KyQlpaGoqLi2Fubl7hfK1WC61WK+1rNJp6x0REjWvXqT8NHQIR1VDWtXzkarRVHhcBqNRFSMu+gcFd7ZsusHsY/C3RpKQk2NjY6G1Lly6Vji9cuLDC8dTUVL1rDBkyRO/4mTNnahXDzp070a1bN/Ts2ROmpqZ46qmnEBMTU692lZSUIC4uDufPn8eIESMAAGPGjMHmzZvx448/QhRFnDp1Clu2bEFxcTH++eefSq8TFRUFuVwubU5OTvWKi4iIiP4nr6i4RvWu5hU1ciTVM3gPm7+/P6Kjo/XK7OzspH8vWLAAISEhesc7d+6st5+QkIAePXpI+7VNamJiYvReVAgODsawYcNw69YttGvXrlbXWrhwId58801otVpYWFhgwYIFeP755wEAb731FnJzczFo0CCIooh//etfCAkJwdtvvw1TU9NKrxceHo6wsDBpX6PRMGkjMnJPPuho6BCIqIac7ayRUINecQdby/vWaUwGT9jatGkDd3f3Ko936NCh2uNAWYJ2vzpVyczMxIkTJ3Dy5EksXLhQKtfpdNixYwdCQ0Nrdb3yBNPa2hpKpVLvOTgrKyts2bIFGzZswN9//w2lUomNGzfC1tYWHTp0qPR6MplM7yUMIjJ+ZqYGH7wgohoa3NUeSrklctVFlT7HJgBQyMum+DCkVv9flZiYGAwbNgxnz55Fenq6tL322mt1GhYtTzA7deqkl6zdzdzcHI6OjjA1NcXOnTvxyCOPwMSk1f8oiIiImpypiYCIQC8AZcnZ3cr3IwK9DD4fm8F72LRaLXJzc/XKzMzMpB6nvLy8Csetra3Rtm3bGl3/0qVLyM/PR25uLm7fvi3Nn+bl5QVBEPDJJ59gyZIl8Pb21jvvueeew9tvv42zZ8/Cx8cHN27cwOXLl/HXX38BAC5cuAAAUCgU932LtdzFixeRlpaGgQMH4ubNm3jvvfeQkZGBrVu31uh8IiIiangB3kpEB/dFZGImVOr/PaumkFsiItDL4FN6AABEA5o2bZqIshcw9DYPDw9RFEWxS5culR5//vnnRVEUxezsbBGAeObMmSrvMXz48EqvkZ2dLX7++eeiiYmJmJubW+m5DzzwgDhv3jxRFEUxNja20utERERI9bt06SK+//77VcaSmZkp9u7dW7SyshLbtm0rjh8/Xvzll19q9Zmp1WoRgKhWq2t1HhEREVWvRFcq/nDpH3HvmT/FHy79I5boShvs2vX9/hZEUaxsyJaMlEajgVwuh1qtrnEvIxERERlWfb+/+eAUERERkZFjwkZERERk5JiwERERERk5JmxERERERo4JGxEREZGRY8JGREREZOQMPnEuERERUWPRlYpIy76Bq3lFcLAtW2LK0KsW1EWr6GELCQmBIAgQBAFmZmZwdnZGaGgobt68KdVxcXGR6lhbW8Pb2xsbNmyQjsfFxVW7EPzhw4cRGBgoLUm1d+/eCnXKr3/v9s477zRkc4mIiAhAcoYKvqsOYvKm43hpZzombzoO31UHkZyhMnRotdYqEjYACAgIgEqlQk5ODjZv3ozExETMmTNHr86SJUugUqlw7tw5TJgwAbNnz0ZCQkKNrl9QUAAfHx+sW7euyjoqlUpv27JlCwRBwMSJE+vVNiIiItKXnKFCaPxpvaWmACBXXYTQ+NPNLmlrNUOiMplMWvPT0dERQUFBiIuL06tja2sr1Vm2bBl27dqFvXv3Iigo6L7XHzt2LMaOHVttnXvXHP3yyy/h7+8PNze3WrSEiIxdia7U0CEQtWq6UhGL9/2EypZyElG2qHtkYiZGeSmazfBoq0nY7paVlYXk5GSYm5tXW8/S0hLFxcWNEsPff/+Nr7766r4Lv2u1Wmi1Wmlfo9E0SjxE1HB2nfrT0CEQtWpZ1/KRq9FWeVwEoFIXIS37BgZ3tW+6wOqh1QyJJiUlwcbGBlZWVujatSsyMzOxcOHCSuuWlJQgLi4O58+fx4gRIxolnq1bt8LW1haPP/54tfWioqIgl8ulzcnJqVHiISIiainyimrW2XI1r+j+lYxEq+lh8/f3R3R0NAoLC7F582ZcvHgR8+bN06uzcOFCvPnmm9BqtbCwsMCCBQvw/PPPN0o8W7ZswdNPPw1LS8tq64WHhyMsLEza12g0TNqIjNyTDzoaOgSiVs3ZzhoJNejpdrCt/jvYmLSahK1NmzZwd3cHAKxduxb+/v6IjIzE0qVLpToLFixASEgIrK2toVQqIQiNM6595MgRXLhwoUYvNMhkMshkskaJg4gah5lpqxm8IDJKg7vaQym3RK66qNLn2AQACnnZFB/NRav9r0pERARWr16Nv/76Syrr0KED3N3dpak5GktMTAz69esHHx+fRrsHERFRa2VqIiAi0AtAWXJ2t/L9iECvZvPCAdCKEzY/Pz/07NkTK1asqPE5Op0O6enpeltmZiYAID8/XyoDgOzsbKSnp+Py5ct619BoNPjss8/w3HPPNVhbiIiISF+AtxLRwX2hkOsPeyrklogO7osAb6WBIqubVjMkWpmwsDBMnz69ypcP7pWfn48+ffrolXXp0gU5OTk4deoU/P399a4NANOmTdObPmTnzp0QRRGTJ0+ufwOIiIioSgHeSozyUrSIlQ4EURQrG94lI6XRaCCXy6FWq9G2bVtDh0NEREQ1UN/v71Y7JEpERETUXDBhIyIiIjJyTNiIiIiIjBwTNiIiIiIjx4SNiIiIyMi16mk9iIiIqGXRlYotYhqPezFhIyIiohYhOUOFyMRMqNT/W9RdKbdERKBXs5so914tfkg0JCQEgiBAEASYmZnB2dkZoaGhuHnzplTHxcVFqmNtbQ1vb29s2LBBOq7T6RAVFQVPT09YWVnBzs4OgwYNQmxsrFTn8OHDCAwMlJa12rt3b4VY8vPz8cILL8DR0RFWVlbo0aMHoqOjG7X9RERErUFyhgqh8af1kjUAyFUXITT+NJIzVAaKrGG0ih62gIAAxMbGoqSkBJmZmZgxYwZu3bqFHTt2SHWWLFmCmTNnIj8/H3FxcZg9ezbatWuHoKAgLF68GBs3bsS6devw4IMPQqPR4NSpU3pJX0FBAXx8fDB9+nRMnDix0jhefvllpKSkID4+Hi4uLvj2228xZ84cdOrUCePHj2/0z4GImkaJrtTQIRC1KrpSEYv3/VTpQu8iytYPjUzMxCgvRbMdHm0VCZtMJoNCoQAAODo6IigoSG+5KACwtbWV6ixbtgy7du3C3r17ERQUhMTERMyZMweTJk2S6t+7cPvYsWMxduzYauM4duwYpk2bBj8/PwDArFmzsGHDBpw6darKhE2r1UKr1Ur7Go2mRm0mIsPZdepPQ4dA1KpkXctHrkZb5XERgEpdhLTsGxjc1b7pAmtALX5I9F5ZWVlITk6Gubl5tfUsLS1RXFwMAFAoFDh48CCuXbtWr3v7+vpi3759uHLlCkRRREpKCi5evIgxY8ZUeU5UVBTkcrm0OTk51SsGIiKiliavqLhG9a7mFd2/kpFqFT1sSUlJsLGxgU6nQ1FR2Q/rvffeq7RuSUkJ4uPjcf78eYSGhkp1n3jiCSgUCvTs2RNDhgzB+PHj79ujdq+1a9di5syZcHR0hJmZGUxMTLB582b4+vpWeU54eLi0kDxQ1sPGpI3IuD35oKOhQyBqVZztrJFQg55tB1vLJoimcbSKhM3f3x/R0dEoLCzE5s2bcfHiRcybN0+vzsKFC/Hmm29Cq9XCwsICCxYswPPPPw8A8PLyQkZGBn788UccPXpUesEgJCQEmzdvrnEca9euxfHjx7Fv3z506dIFhw8fxpw5c6BUKjFy5MhKz5HJZJDJZHVvPBE1OTPTVjd4QWRQg7vaQym3RK66qNLn2AQACnnZFB/NlSCKYmVtazFCQkJw69Ytvbc2/f394evri6VLlwIoe0s0ODgYISEhsLa2hlKphCBU/1BifHw8pk6diqysLLi6uuodEwQBX3zxBSZMmCCV3b59G3K5HF988QUefvhhqfy5557Dn3/+ieTk5Bq1R6PRQC6XQ61Wo23btjU6h4iIqKUrf0sUgF7SVv5tHh3c16BTe9T3+7tV/hkYERGB1atX46+//pLKOnToAHd3d2lajvvx8vICUPZ2aE0UFxejuLgYJib6H7mpqSlKS/lGGRERUX0EeCsRHdwXCrn+sKdCbmnwZK0htIoh0Xv5+fmhZ8+eWLFiBdatW3ff+k888QSGDh2KIUOGQKFQIDs7G+Hh4ejevTs8PT0BlM2xdunSJemc7OxspKenw87ODs7Ozmjbti2GDx+OBQsWwMrKCl26dMGhQ4ewbdu2Kp+nIyIiopoL8FZilJeCKx20JGFhYZg+fToWLlx437pjxozBjh07EBUVBbVaDYVCgYceegiLFy+GmVnZR3jq1Cn4+/vrXR8Apk2bJk0hsnPnToSHh+Ppp5/GjRs30KVLFyxfvhyzZ89u+AYSERG1QqYmQrOduqM6Lf4ZtpaGz7ARERE1P3yGjYiIiKiFY8JGREREZOSYsBEREREZOSZsREREREaOCRsRERGRkWu103oQERFR86YrFVvknGuVYQ8bypavEgQBgiDAzMwMzs7OCA0Nxc2bN6U6Li4uUh1ra2t4e3tjw4YN0nGdToeoqCh4enrCysoKdnZ2GDRoEGJjYyu9xt3b3Llzm7S9REREzV1yhgq+qw5i8qbjeGlnOiZvOg7fVQeRnKEydGiNggnb/wsICIBKpUJOTg42b96MxMREzJkzR6/OkiVLoFKpcO7cOUyYMAGzZ89GQkICAGDx4sVYs2YNli5diszMTKSkpGDmzJl6Sd/JkyehUqmkbf/+/QCASZMmNV1DiYiImrnydUNV6iK98lx1EULjT7fIpI1Dov9PJpNBoVAAABwdHREUFCStUFDO1tZWqrNs2TLs2rULe/fuRVBQkJTg3Z18+fj46J3fsWNHvf2VK1eia9euGD58eCO0iIgMpUTH9YGJGouuVMTifT+hsln/RZQt9h6ZmIlRXooWNTzKhK0SWVlZSE5Ohrm5ebX1LC0tUVxcDABQKBQ4ePAg5syZUyExq8ydO3cQHx+PsLCwaheb12q10Gq10r5Go6lhK4jIUHad+tPQIRC1WFnX8pGr0VZ5XASgUhchLftGi1qiikOi/y8pKQk2NjawsrJC165dkZmZWeU6oyUlJYiLi8P58+cxYsQIAMB7772Ha9euQaFQoFevXpg9eza+/vrrKu+3d+9e3Lp1CyEhIdXGFRUVBblcLm1OTk51biMREVFzl1dUXKN6V/OK7l+pGeFaoih76eDKlSuIjo5GYWEhNm/ejIsXLyIpKUla3N3FxQUqlQrm5ubQarWwsLDA3LlzsXLlSpiYlOW9paWl+PHHH3H06FEcPnwYiYmJCAkJwebNmyvcc8yYMbCwsEBiYmK1sVXWw+bk5MS1RImMGIdEiRrP8awbCI45cd96O2YOMqoetvquJcqEDWUJ261bt7B3716pzN/fH76+vli6dCmAsoQtODgYISEhsLa2hlKprHYoEwDi4+MxdepUZGVlwdXVVSr//fff4ebmhj179mD8+PG1ipWLvxMRUWumKxXhu+ogctVFlT7HJgBQyC1xdOFDRvUMGxd/byQRERFYvXo1/vrrL6msQ4cOcHd3R6dOne6brAGAl5cXAKCgoECvPDY2Fg4ODnj44YcbNmgiIqIWztREQERg2ffrvd/E5fsRgV5Glaw1BCZsVfDz80PPnj2xYsWKGtV/4okn8P777+PEiRP4/fffkZqairlz56J79+7w9PSU6pWWliI2NhbTpk2ThluJiIio5gK8lYgO7guF3FKvXCG3RHRwXwR4Kw0UWeNhxlCNsLAwTJ8+vcqXD+42ZswY7NixA1FRUVCr1VAoFHjooYewePFivcTswIEDuHz5MmbMmNGYoRMREbVoAd5KjPJStJqVDvgMWzPDZ9iIiIiaHz7DRkRERNTCMWEjIiIiMnJM2IiIiIiMHBM2IiIiIiPHhI2IiIjIyDFhIyIiIjJynIeNiIiImpSuVGw186c1lGbdwxYSEgJBECAIAszMzODs7IzQ0FDcvHlTquPi4iLVsba2hre3NzZs2CAd1+l0iIqKgqenJ6ysrGBnZ4dBgwYhNjZWqhMVFYX+/fvD1tYWDg4OmDBhAi5cuKAXS/k97t3eeeedCnGvWLECpqamWLlyZSN8KkRERMYrOUMF31UHMXnTcby0Mx2TNx2H76qDSM5QGTo0o9asEzYACAgIgEqlQk5ODjZv3ozExETMmTNHr86SJUugUqlw7tw5TJgwAbNnz0ZCQgIAYPHixVizZg2WLl2KzMxMpKSkYObMmXpJ36FDhzB37lwcP34c+/fvR0lJCUaPHq23RqhKpdLbtmzZAkEQMHHixAoxx8bG4rXXXsOWLVsa6VMhIiIyPskZKoTGn4ZKXaRXnqsuQmj8aSZt1Wj2Q6IymQwKhQIA4OjoiKCgIMTFxenVsbW1leosW7YMu3btwt69exEUFCQleJMmTZLq+/j46J2fnJyst1++ePuPP/6IYcOGAYB0/XJffvkl/P394ebmpld+6NAh3L59G0uWLMG2bdtw+PBh6RpE1DKU6EoNHQKR0dGVili87ydUtrySiLKF2yMTMzHKS8Hh0Uo0+4TtbllZWUhOToa5uXm19SwtLVFcXAygLNE6ePAg5syZg44dO9boPmq1GgBgZ2dX6fG///4bX331FbZu3VrhWExMDCZPngxzc3NMnjwZMTEx1SZsWq0WWq1W2tdoNDWKkYgMZ9epPw0dApHRybqWj1yNtsrjIgCVughp2TcwuKt90wXWTDT7IdGkpCTY2NjAysoKXbt2RWZmZpWLtZeUlCAuLg7nz5/HiBEjAADvvfcerl27BoVCgV69emH27Nn4+uuvq7yfKIoICwuDr68vvL29K62zdetW2Nra4vHHH9cr12g02L17N4KDgwEAwcHB+Pzzz6tNwqKioiCXy6XNycmp2s+DiIjIGOUVFdeo3tW8ovtXaoWa9eLvISEhuHLlCqKjo1FYWIjNmzfj4sWLSEpKgplZWeehi4sLVCoVzM3NodVqYWFhgblz52LlypUwMSnLV0tLS/Hjjz/i6NGjOHz4MBITExESEoLNmzdXuOfcuXPx1Vdf4ejRo3B0dKw0Lk9PT4waNQoffvihXvnHH3+Mjz76COfPn5fKHnjgAcybNw+zZs2q9FqV9bA5OTlx8XciI8YhUaKKjmfdQHDMifvW2zFzUIvsYavv4u/NPmG7desW9u7dK5X5+/vD19cXS5cuBVCWsAUHByMkJATW1tZQKpUQhOrHxuPj4zF16lRkZWXB1dVVKp83bx727t2Lw4cP65Xf7ciRIxg2bBjS09MrPAs3YMAAnDp1SkoUgbJksX///jhx4v6/xED9f+BERESGoCsV4bvqIHLVRZU+xyYAUMgtcXThQy3yGbb6fn+3qGfYACAiIgJjx45FaGgoOnXqBADo0KED3N3da3wNLy8vAJDeAhVFEfPmzcMXX3yB1NTUKpM1oOwZtX79+lVI1s6fP49Tp04hNTVV79m3W7duYdiwYcjIyKhyiJWIiKi5MzUREBHohdD40xAAvaStPD2LCPRqkclaQ2j2z7Ddy8/PDz179sSKFStqVP+JJ57A+++/jxMnTuD3339Hamoq5s6di+7du8PT0xNA2TBofHw8Pv30U9ja2iI3Nxe5ubm4ffu23rU0Gg0+++wzPPfccxXuExMTgwEDBmDYsGHw9vaWNl9fXwwePBgxMTH1bzwREZERC/BWIjq4LxRyS71yhdwS0cF9EeCtNFBkxq/FJWwAEBYWhk2bNuGPP/64b90xY8YgMTERgYGB6N69O6ZNmwZPT098++230nNw0dHRUKvV8PPzg1KplLbyudzK7dy5E6IoYvLkyXrld+7cQXx8fKVzsgHAxIkTER8fjzt37tSxxURERM1DgLcSRxc+hB0zB+GDp3pjx8xBOLrwISZr99Gsn2FrjfgMGxERUfNT3+/vFtnDRkRERNSSMGEjIiIiMnJM2IiIiIiMHBM2IiIiIiPHhI2IiIjIyLW4iXOJiIjIuOlKRaRl38DVvCI42FpigKsdJ8y9DyZsRERE1GSSM1SITMyESv2/Rd6VcktEBHpxLrZqtPgh0ZCQEAiCAEEQYGZmBmdnZ4SGhuLmzZtSHRcXF6mOtbU1vL29sWHDBum4TqdDVFQUPD09YWVlBTs7OwwaNAixsbFSncOHDyMwMBCdOnWCIAh665sCQHFxMRYuXIgHHngAbdq0QadOnfDMM8/gr7/+avTPgIiIyBgkZ6gQGn9aL1kDgFx1EULjTyM5Q2WgyIxfq+hhCwgIQGxsLEpKSpCZmYkZM2bg1q1b2LFjh1RnyZIlmDlzJvLz8xEXF4fZs2ejXbt2CAoKwuLFi7Fx40asW7cODz74IDQaDU6dOqWX9BUUFMDHxwfTp0+vdEWDwsJCnD59Gm+99RZ8fHxw8+ZNzJ8/H48++ihOnTrVJJ8DETWNEl2poUMgMjq6UhGL9/1U6cLvIsrWE41MzMQoLwWHRyvRKhI2mUwGhUIBAHB0dERQUBDi4uL06tja2kp1li1bhl27dmHv3r0ICgpCYmIi5syZg0mTJkn1713cfezYsRg7dmyVMcjlcuzfv1+v7MMPP8SAAQNw+fJlODs7V3qeVquFVquV9jUazf0bTEQGtevUn4YOgcjoZF3LR65GW+VxEYBKXYS07BsY3NW+6QJrJlr8kOi9srKykJycDHNz82rrWVpaori4GACgUChw8OBBXLt2rUFjUavVEAQB7dq1q7JOVFQU5HK5tDk5OTVoDERERE0hr6i4RvWu5hXdv1Ir1Cp62JKSkmBjYwOdToeiorJfhPfee6/SuiUlJYiPj8f58+cRGhoq1X3iiSegUCjQs2dPDBkyBOPHj6+2R+1+ioqK8Prrr2PKlCnVrikWHh6OsLAwaV+j0TBpIzJyTz7oaOgQiIyOs501EmrQ++xga9kE0TQ/rSJh8/f3R3R0NAoLC7F582ZcvHgR8+bN06uzcOFCvPnmm9BqtbCwsMCCBQvw/PPPAwC8vLyQkZGBH3/8EUePHpVeMAgJCcHmzZtrHU9xcTGeeuoplJaWYv369dXWlclkkMlktb4HERmOmWmrG7wguq/BXe2hlFsiV11U6XNsAgCFvGyKD6qoVfxXpU2bNnB3d0evXr2wdu1aaLVaREZG6tVZsGAB0tPT8fvvvyM/Px9vv/02TEz+9/GYmJigf//+ePnll/HFF18gLi4OMTExyM7OrlUsxcXFePLJJ5GdnY39+/dX27tGRETUUpiaCIgI9AJQlpzdrXw/ItCLLxxUoVUkbPeKiIjA6tWr9abU6NChA9zd3aVpOe7Hy6vsl66goKDG9y1P1n799VccOHAA9vZ8qJKIiFqPAG8looP7QiHXH/ZUyC0RHdyX87BVo1UMid7Lz88PPXv2xIoVK7Bu3br71n/iiScwdOhQDBkyBAqFAtnZ2QgPD0f37t3h6ekJAMjPz8elS5ekc7Kzs5Geng47Ozs4OzujpKQETzzxBE6fPo2kpCTodDrk5uYCAOzs7GBhYdE4jSUiIjIiAd5KjPJScKWDWmqVCRsAhIWFYfr06Vi4cOF9644ZMwY7duxAVFQU1Go1FAoFHnroISxevBhmZmUf4alTp+Dv7693fQCYNm0a4uLi8Oeff2Lfvn0AgN69e+tdPyUlBX5+fg3TMCIiIiNnaiJw6o5aEkRRrOzZPzJSGo0GcrkcarWaz78RERE1E/X9/m6Vz7ARERERNSdM2IiIiIiMHBM2IiIiIiPHhI2IiIjIyDFhIyIiIjJyrXZaDyIiImpaulKR86/VEXvY/l9ISAgEQYAgCDAzM4OzszNCQ0Nx8+ZNqY6Li4tUx9raGt7e3tiwYYN0PC4uDu3atavyHneff/c2d+7cxmwaERGRwSVnqOC76iAmbzqOl3amY/Km4/BddRDJGSpDh9YsMGG7S0BAAFQqFXJycrB582YkJiZizpw5enWWLFkClUqFc+fOYcKECZg9ezYSEhJqdP2TJ09CpVJJ2/79+wEAkyZNavC2EBERGYvkDBVC409DpS7SK89VFyE0/jSTthrgkOhdZDIZFAoFAMDR0RFBQUGIi4vTq2NrayvVWbZsGXbt2oW9e/ciKCjovtfv2LGj3v7KlSvRtWtXDB8+vGEaQERGoURXaugQiIyGrlTE4n0/obJZ+kWULfwemZiJUV4KDo9WgwlbFbKyspCcnAxzc/Nq61laWqK4uLjW179z5w7i4+MRFhZW7WLzWq0WWq1W2tdoNLW+FxE1rV2n/jR0CERGI+taPnI12iqPiwBU6iKkZd/gclXV4JDoXZKSkmBjYwMrKyt07doVmZmZVa41WlJSgri4OJw/fx4jRoyo9b327t2LW7duISQkpNp6UVFRkMvl0ubk5FTrexERERlKXlHNOjWu5hXdv1IrxrVE/19ISAiuXLmC6OhoFBYWYvPmzbh48SKSkpKkBd5dXFygUqlgbm4OrVYLCwsLzJ07FytXroSJiQni4uIwf/583Lp16773GzNmDCwsLJCYmFhtvcp62JycnLiWKJER45Ao0f8cz7qB4JgT9623Y+agFt3DVt+1RDkkepc2bdrA3d0dALB27Vr4+/sjMjISS5culeosWLAAISEhsLa2hlKprHY4syq///47Dhw4gD179ty3rkwmg0wmq/U9iMhwzEw5eEFUbnBXeyjllshVF1X6HJsAQCEvm+KDqsb/qlQjIiICq1evxl9//SWVdejQAe7u7ujUqVOdkjUAiI2NhYODAx5++OGGCpWIiMgomZoIiAj0AlCWnN2tfD8i0IsvHNwHE7Zq+Pn5oWfPnlixYkWNz9HpdEhPT9fbMjMzpeOlpaWIjY3FtGnTpKFWIiKilizAW4no4L5QyC31yhVyS0QH90WAt9JAkTUfzBjuIywsDNOnT6/y5YN75efno0+fPnplXbp0QU5ODgDgwIEDuHz5MmbMmNHQoRIRERmtAG8lRnkpuNJBHfGlg2amvg8tEhERUdOr7/c3h0SJiIiIjBwTNiIiIiIjx4SNiIiIyMgxYSMiIiIyckzYiIiIiIwcEzYiIiIiI8d52IiIiKjR6UpFzsFWD82+hy0kJASCIEAQBJiZmcHZ2RmhoaG4efOmVMfFxUWqY21tDW9vb2zYsEE6HhcXh3bt2lV5j8OHDyMwMFBajmrv3r0V6ixevBienp5o06YN2rdvj5EjR+LEicoXu12xYgVMTU2xcuXKOrebiIiouUjOUMF31UFM3nQcL+1Mx+RNx+G76iCSM1SGDq3ZaPYJGwAEBARApVIhJycHmzdvRmJiIubMmaNXZ8mSJVCpVDh37hwmTJiA2bNnIyEhoUbXLygogI+PD9atW1dlne7du2PdunU4f/48jh49ChcXF4wePRrXrl2rUDc2NhavvfYatmzZUruGEhERNTPJGSqExp+GSl2kV56rLkJo/GkmbTXUIoZEZTIZFAoFAMDR0RFBQUGIi4vTq2NrayvVWbZsGXbt2oW9e/ciKCjovtcfO3Ysxo4dW22dKVOm6O2/9957iImJwblz5zBixAip/NChQ7h9+zaWLFmCbdu24fDhwxg2bFhNmklEzUSJrtTQIRAZBV2piMX7fkJlSyqJKFv8PTIxE6O8FBwevY8WkbDdLSsrC8nJyTA3N6+2nqWlJYqLixslhjt37mDjxo2Qy+Xw8fHROxYTE4PJkyfD3NwckydPRkxMTLUJm1arhVarlfY1Gk2jxExEDWfXqT8NHQKRUci6lo9cjbbK4yIAlboIadk3MLirfdMF1gy1iCHRpKQk2NjYwMrKCl27dkVmZmaVi7WXlJQgLi4O58+f1+v5asg4LC0t8f7772P//v3o0KGDdFyj0WD37t0IDg4GAAQHB+Pzzz+vNgmLioqCXC6XNicnpwaNmYiIqLHkFdWsY+RqXtH9K7VyLaKHzd/fH9HR0SgsLMTmzZtx8eJFzJs3T6/OwoUL8eabb0Kr1cLCwgILFizA888/3+BxpKen459//sGmTZvw5JNP4sSJE3BwcAAAfPrpp3Bzc5N63Xr37g03Nzfs3LkTs2bNqvSa4eHhCAsLk/Y1Gg2TNiIj9+SDjoYOgcgoONtZI6EGPc4OtpZNEE3z1iIStjZt2sDd3R0AsHbtWvj7+yMyMhJLly6V6ixYsAAhISGwtraGUqmEIDT8WHl5HO7u7hg0aBC6deuGmJgYhIeHAwC2bNmCn376CWZm//vYS0tLERMTU2XCJpPJIJPJGjxWImo8ZqYtYvCCqN4Gd7WHUm6JXHVRpc+xCQAU8rIpPqh6LSJhu1dERATGjh2L0NBQdOrUCQDQoUMHKalrKqIoSs+fnT9/HqdOnUJqairs7P73i3nr1i0MGzYMGRkZ8Pb2btL4iIiIGpOpiYCIQC+Exp+GAOglbeXdJhGBXnzhoAZaZMLm5+eHnj17YsWKFdVOxXE3nU6H9PR0vTILCwt4eXkhPz8fly5dksqzs7ORnp4OOzs7ODs7o6CgAMuXL8ejjz4KpVKJ69evY/369fjzzz8xadIkAGUvGwwYMKDSFwwGDx6MmJgYvP/++3VvNBERkREK8FYiOrgvIhMz9ab2UMgtERHohQBvpQGjaz5aZMIGAGFhYZg+fXqVLx/cKz8/H3369NEr69KlC3JycnDq1Cn4+/vrXRsApk2bhri4OJiamuKXX37B1q1b8c8//8De3h79+/fHkSNH0LNnT9y5cwfx8fFVxjJx4kRERUVh1apVsLCwqGOLiYiIjFOAtxKjvBRc6aAeBFEUKxtWJiOl0Wggl8uhVqvRtm1bQ4dDRERENVDf728+GUtERERk5JiwERERERk5JmxERERERo4JGxEREZGRY8JGREREZORa7LQeZJx0pSJf6yYiIqolJmzUZJIzVBUmTlRy4kQiIqL7atVDojqdDkOGDMHEiRP1ytVqNZycnPDmm28iJycHgiBIW/v27TFs2DAcOnRIqh8SEiIdNzMzg7OzM0JDQ3Hz5k29627cuBF+fn5o27YtBEHArVu3mqKZRiE5Q4XQ+NN6yRoA5KqLEBp/GskZKgNFRkREZPxadQ+bqakptm7dit69e2P79u14+umnAQDz5s2DnZ0dFi1ahL/++gsAcODAAfTs2RNXr17Ff/7zH4wbNw4ZGRlwdXUFAAQEBCA2NhYlJSXIzMzEjBkzcOvWLezYsUO6X2FhIQICAhAQECAtCN8a6EpFRCZmVrrwb3nZ4n0/wd/DgcOj1CJw8XciamitOmEDgG7duiEqKgrz5s2Dv78/Tp48iZ07dyItLU1vmSh7e3soFAooFAps2LABjo6O+Pbbb/H8888DAGQyGRQKBQDA0dERQUFBiIuL07vX/PnzAQCpqak1jk+r1UoLyANlMyU3N2nZNyr0rN0rV6PFO99cgFtHmyaKiqjxTBnobOgQiKiF4Z+BKOtR8/HxwTPPPINZs2Zh0aJF6N27d5X1ra2tAQDFxcWVHs/KykJycjLMzc3rHVtUVBTkcrm0OTk51fuaTe1qXvXJWrm8oso/TyIiotauwXrYbt26hXbt2jXU5ZqUIAiIjo5Gjx498MADD+D111+vsm5BQQHCw8NhamqK4cOHS+VJSUmwsbGBTqdDUVFZgvLee+/VO7bw8HBpsXmgrIetuSVtDraWNaoX6NMZg9zsGjkaIiKi5qdOCduqVavg4uKCoKAgAMCTTz6J3bt3Q6FQ4L///S98fHwaNMimsGXLFlhbWyM7Oxt//vknXFxc9I4PGTIEJiYmKCwshFKpRFxcHB544AHpuL+/P6Kjo1FYWIjNmzfj4sWLmDdvXr3jkslkkMlk9b6OIQ1wtYNSbolcdVGlz7EJABRySwzuas9n2IiIiCpRpyHRDRs2SL08+/fvx/79+/H1119j7NixWLBgQYMG2BSOHTuG999/H19++SUGDx6MZ599FqKon1okJCTg7NmzuHbtGq5cuYLg4GC9423atIG7uzt69eqFtWvXQqvVIjIysimbYbRMTQREBHoBKEvO7la+HxHoxWSNiIioCnVK2FQqlZSwJSUl4cknn8To0aPx2muv4eTJkw0aYGO7ffs2pk2bhueffx4jR47E5s2bcfLkSWzYsEGvnpOTE7p27Qp7e/saXTciIgKrV6+W3jJt7QK8lYgO7guFXH94VCG3RHRwX87DRkREVI06DYm2b98ef/zxB5ycnJCcnIxly5YBAERRhE6na9AAG9vrr7+O0tJSrFq1CgDg7OyMd999F2FhYQgICKjzdf38/NCzZ0+sWLEC69atAwDk5uYiNzcXly5dAgCcP38etra2cHZ2hp1dy392K8BbiVFeCq50QEREVEt16mF7/PHHMWXKFIwaNQrXr1/H2LFjAQDp6elwd3dv0AAb06FDh/DRRx8hLi4Obdq0kcpnzpyJIUOGVDo0WhthYWHYtGkT/vjjDwDAxx9/jD59+mDmzJkAgGHDhqFPnz7Yt29f/RrSjJiaCBjc1R7je3fmM2tEREQ1JIh1yEiKi4vxwQcf4I8//kBISAj69OkDAFizZg1sbGzw3HPPNXigVEaj0UAul0OtVqNt27aGDoeIiIhqoL7f33VK2MhwmLARERE1P/X9/q7zxLmffPIJfH190alTJ/z+++8AynrYvvzyy7pekoiIiIgqUaeELTo6GmFhYRg7dixu3bolvWjQrl07rFmzpiHjIyIiImr16pSwffjhh9i0aRPeeOMNmJqaSuUPPvggzp8/32DBEREREVEdE7bs7GzpRYO7yWQyFBQU1DsoIiIiIvqfOiVsrq6uSE9Pr1D+9ddfw8vLq74xUQumKxVx7Lfr+DL9Co79dh26Ur7zQkREdD91StgWLFiAuXPnIiEhAaIoIi0tDcuXL8d//vOfRl+aKiQkBIIgQBAEmJubw83NDa+++ioKCgqQk5MDQRAqTSb9/Pwwf/58vbKffvoJTz75JDp27AiZTIZu3brhrbfeQmFhIQAgPz8fXbt21Vt8HQBycnLQtm1bbN68GQCQmpqK8ePHQ6lUok2bNujduze2b99eafy3b99G+/btYWdnh9u3b9f/A2lGkjNU8F11EJM3HcdLO9MxedNx+K46iOQMlaFDIyIiMmp1StimT5+OiIgIvPbaaygsLMSUKVPw8ccf44MPPsBTTz3V0DFWEBAQAJVKhaysLCxbtgzr16/Hq6++WqtrHD9+HAMHDsSdO3fw1Vdf4eLFi1ixYgW2bt2KUaNG4c6dO7CxsUFsbCw+/PBDHDlyBEDZag7Tp0/H0KFDpfnmfvjhB/Tq1Qu7d+/GuXPnMGPGDDzzzDNITEyscN/du3fD29sbXl5e2LNnT/0/jGYiOUOF0PjTUKmL9Mpz1UUIjT/NpI2IiKgatZ6HraSkBNu3b8eYMWOgUCjwzz//oLS0FA4ODo0Vo56QkBDcunULe/fulcpmzpyJpKQkHDt2DK6urjhz5gx69+6td56fnx969+6NNWvWQBRFeHt7w9raGidOnICJyf/y1rNnz6JPnz6IiorCwoULAZStWLBv3z6cPXsWmzZtQmRkJDIyMtC5c+cq43z44Yfxr3/9C1u2bNEr9/f3x1NPPQVRFLFr1y4cPHiwVu1vjvOw6UpF+K46WCFZu5uirQyHFvhz5QNqEcxM6zxjEhG1UPX9/q71WqJmZmYIDQ3Fzz//DADo0KFDrW/a0KysrFBcXFzj+unp6cjMzMSnn36ql6wBgI+PD0aOHIkdO3ZICduKFSvw9ddfIzg4GN988w02btxYbbIGAGq1Gj169NAr++2333Ds2DHs2bMHoihi/vz5yMrKgpubW5XX0Wq10Gq10r5Go6lxO41FWvaNapM1AMjVaPHONxfg1tGmiaIiajxTBjobOgQiamHq9GfgwIEDcebMmYaOpU7S0tLw6aefYsSIEVLZkCFDYGNjo7eVD2kCwMWLFwGgQkJVrkePHlIdALC0tMSaNWuwd+9e+Pn5ITg4uNqYPv/8c5w8eRLTp0/XK9+yZQvGjh0rPcMWEBBQoQfuXlFRUZDL5dLm5ORUbX1jdDWv+mStXF5RzZNuIiKi1qTWPWwAMGfOHLzyyiv4888/0a9fP72F0wGgV69eDRJcVZKSkmBjY4OSkhIUFxdj/Pjx+PDDD6WXBRISEiokY08//XSNry+KIgRBf2guJiYG1tbWOH/+PNRqNeRyeaXnpqamIiQkBJs2bULPnj2lcp1Oh61bt+KDDz6QyoKDg/Hyyy8jMjJSbz67u4WHh+u99KDRaJpd0uZga1mjeoE+nTHIza6RoyEiImp+6pSwBQUFAQBefPFFqUwQBCnRKV/5oLH4+/sjOjoa5ubm6NSpE8zNzQGUvb0JAE5OTnB3d9c7x8rKSvp39+7dAQCZmZkVnnUDgF9++QXdunWT9hMSErBv3z4cO3YMU6dOxcsvv1xpz9ihQ4cQGBiI9957D88884zesW+++QZXrlyRPrtyOp0O3377LcaOHVtpW2UyGWQyWRWfRPMwwNUOSrklctVFqOyBSQGAQm6JwV3t+QwbERFRJeo8ce69W1ZWlvS/ja1NmzZwd3dHly5dpGStNnr37g1PT0+8//77KC0t1Tt29uxZHDhwAJMnTwYA/P3335g7dy6WLVuGPn36IC4uDp988gm+/vprvfNSU1Px8MMPY+XKlZg1a1aFe8bExOCpp55Cenq63vb0008jJiam1m1oTkxNBEQEls3Pd286Vr4fEejFZI2IiKgKdeph69KlS0PH0aQEQcDmzZsxevRoTJw4EeHh4VAoFDhx4gReeeUVDB48WJqz7fnnn4eHh4c0LPnggw/itddew6xZs5CRkQG5XC4lay+99BImTpyI3NxcAICFhQXs7Oxw7do1JCYmYt++ffD29taLZdq0aXj44Ydx7do1dOzYsUk/h6YU4K1EdHBfRCZm6r2AoJBbIiLQCwHeSgNGR0REZNzqlLBt27at2uP3Dgcao6FDh+L48eOIjIzEuHHjoNFo4OzsjGnTpiE8PBwymQzbtm3D/v37kZ6ervc2aUREBPbt2ycNjcbFxaGwsBBRUVGIioqS6g0fPhypqanYtm0b2rRpo/diRDl/f3/Y2trik08+qTBBb0sT4K3EKC8F0rJv4GpeERxsLTHA1Y49a0RERPdR63nYAKB9+/Z6+8XFxSgsLISFhQWsra1x48aNBguQ9DXHediIiIhau/p+f9fpGbabN2/qbfn5+bhw4QJ8fX2xY8eOulySiIiIiKrQYNNxd+vWDStXrsRLL73UUJckIiIiIjRgwgYApqam+OuvvxrykkREREStXp1eOti3b5/eviiKUKlUWLduHYYOHdoggRERERFRmTolbBMmTNDbFwQBHTt2xEMPPYR33323IeIiIiIiov9Xp4Tt3slmiYiIiKjx1OkZtiVLlkjrdt7t9u3bWLJkSb2DopZJVyri2G/X8WX6FRz77Tp0pbWeUYaIiKhVqlPCFhkZifz8/ArlhYWFiIyMrHdQ9xMSElJhWLaci4sLBEGAIAiwsrKCp6cn3nnnHdw93VxOTo5URxAEyOVyDBo0CImJiQAAPz8/veP3bi4uLnr1Vq5cWSGOcePGQRAELF68WCrbs2cPxowZgw4dOkAQBKSnpzfUR2L0kjNU8F11EJM3HcdLO9MxedNx+K46iOQMlaFDIyIiMnp1StjKF3m/19mzZ2FnZ1fvoOpryZIlUKlU+Pnnn/Hqq6/iP//5DzZu3Fih3oEDB6BSqXDixAkMGDAAEydOREZGBvbs2QOVSgWVSoW0tDS9uiqVCidPnpSu4eTkhNjYWL3r/vXXXzh48CCUSv3llgoKCjB06NBKE7yWLDlDhdD403pLUgFArroIofGnmbQRERHdR62eYWvfvr3Uy9S9e3e9pE2n0yE/Px+zZ89u8CBry9bWFgqFAgDw3HPPITo6Gt9++y2ef/55vXr29vZQKBRQKBRYvnw5PvzwQ6SkpGDevHlSnaKiIr2693rkkUewa9cufP/999IbsnFxcRg9ejQuX76sV3fq1KkAynr4WgtdqYjIxExUNvhZXrZ430/w93DgElXUYpiZNuiMSUREtUvY1qxZA1EUMWPGDERGRkIul0vHLCws4OLigsGDBzd4kHUliiIOHTqEn3/+Gd26dauyXnFxMTZt2gQAMDc3r9U9LCws8PTTTyM2NlYvYXv77bf1hkPrSqvVQqvVSvsajabe12xKadk3KvSs3StXo8U731yAW0ebJoqKqHFNGehs6BCIqIWpVcI2bdo0AICrqyuGDBlS6+SmqSxcuBBvvvkm7ty5g+LiYlhaWuLFF1+sUG/IkCEwMTHB7du3UVpaChcXFzz55JO1vt+zzz4LX19ffPDBB/jxxx+hVqvx8MMPN0jCFhUV1STPBTaWq3nVJ2vl8oqKGzkSIiKi5qtO03oMHz5c+vft27dRXKz/ZWvoRckXLFiAkJAQXLt2DW+88QYeeughDBkypEK9hIQEeHp64uLFi5g/fz4+/vjjOj2D16tXL3Tr1g2ff/45UlJSMHXq1AZLZsPDwxEWFibtazQaODk5Nci1m4KDrWWN6gX6dMYgN8M//0hERGSM6pSwFRYW4rXXXsOuXbtw/fr1Csd1Ol29A6uPDh06wN3dHe7u7ti9ezfc3d0xaNAgjBw5Uq+ek5MTunXrhm7dusHGxgYTJ05EZmYmHBwcan3PGTNm4KOPPkJmZqb0okJDkMlkkMlkDXa9pjbA1Q5KuSVy1UWVPscmAFDILTG4qz2fYSMiIqpCnZ6MXbBgAQ4ePIj169dDJpNh8+bNiIyMRKdOnbBt27aGjrFe2rdvj3nz5uHVV1/Vm9rjXsOHD4e3tzeWL19ep/tMmTIF58+fh7e3N7y8vOoabotjaiIgIrDs87g3HSvfjwj0YrJGRERUjTolbImJiVi/fj2eeOIJmJmZ4d///jfefPNNrFixAtu3b2/oGCulVquRnp6ut937Vma5uXPn4sKFC9i9e3e113zllVewYcMGXLlypdbxtG/fHiqVCt99912VdW7cuIH09HRkZmYCAC5cuID09HTk5ubW+n7NSYC3EtHBfaGQ6w+PKuSWiA7uiwBvZRVnEhEREVDHIdEbN27A1dUVQNnzajdu3AAA+Pr6IjQ0tOGiq0Zqair69OmjV1b+UsS9OnbsiKlTp2Lx4sV4/PHHq7zmI488AhcXFyxfvhzr16+vdUzt2rWr9vi+ffswffp0af+pp54CAERERDTICwrGLMBbiVFeCqRl38DVvCI42FpigKsde9aIiIhqQBCrGyesQq9evfDhhx9i+PDhGD16NHr16oXVq1dj7dq1ePvtt/Hnn382RqyEspcO5HI51Gq1wV/uICIiopqp7/d3nYZEp0+fjrNnzwIoe4ux/Fm2l19+GQsWLKjLJYmIiIioCnXqYbvX5cuXcerUKXTt2hU+Pj4NERdVgT1sREREzU99v7/r9Azb3YqKiuDs7AxnZ87sTURERNQY6jQkqtPpsHTpUnTu3Bk2NjbIysoCALz11luIiYlp0ACJiIiIWrs6JWzLly+X1su0sLCQyh944AFs3ry5wYIjIiIiojombNu2bcPGjRvx9NNPw9TUVCrv1asXfvnllwYLjpo/XamIY79dx5fpV3Dst+vQldb7kUkiIqJWp07PsF25cgXu7u4VyktLSyusK0qtV3KGCpGJmVCp/7cAvFJuiYhAL06WS0REVAt16mHr2bMnjhw5UqH8s88+qzCZbXP08ccfw9bWFiUlJVJZfn4+zM3N8e9//1uv7pEjRyAIwn23uLg4FBUVISQkBA888ADMzMwwYcKEJm5Z00nOUCE0/rResgYAueoihMafRnKGykCRERERNT916mGLiIjA1KlTceXKFZSWlmLPnj24cOECtm3bhqSkpIaOscn5+/sjPz8fp06dwqBBgwCUJWYKhQInT55EYWEhrK2tAZStuKBQKHDmzBnp/JdeegkajQaxsbFSmVwuh06ng5WVFV588cX7LpPVnOlKRUQmZla62Ht52eJ9P8Hfw4ErHVCLZGZap7+FiYiqVKuELSsrC66urggMDERCQgJWrFgBQRCwaNEi9O3bF4mJiRg1alRjxdpkPDw80KlTJ6SmpkoJW2pqKsaPH4+UlBT88MMPGDlypFQ+YsQIKBQK6XwrKytotVq9snLR0dEAgO+//x63bt26byxarRZarVba12g09Wlak0jLvlGhZ+1euRot3vnmAtw62jRRVERNZ8pATnNERA2rVn8GduvWDdeuXQMAjBkzBgqFApcuXUJhYSGOHj2K0aNHN0qQhuDn54eUlBRpPyUlBX5+fhg+fLhUfufOHRw7dgz+/v6NFkdUVBTkcrm0OTk5Ndq9GsrVvOqTtXJ5RXzekYiIqCZq1cN276IIX3/9NaKioho0IGPh5+eHl19+GSUlJbh9+zbOnDmDYcOGQafTYe3atQCA48eP4/bt242asIWHhyMsLEza12g0Rp+0Odha1qheoE9nDHKza+RoiIiImr96rXTQAKtaGS1/f38UFBTg5MmTuHnzJrp37w4HBwcMHz4cU6dORUFBAVJTU+Hs7Aw3N7dGi0Mmk0EmkzXa9RvDAFc7KOWWyFUXVfocmwBAIbfE4K72fIaNiIioBmo1JFr+xuO9ZS2Ru7s7HB0dkZKSgpSUFAwfPhwAoFAo4Orqiu+//x4pKSl46KGHDByp8TE1ERAR6AWgLDm7W/l+RKAXkzUiIqIaqvWQaEhIiNTjU1RUhNmzZ6NNmzZ69fbs2dNwERqQv78/UlNTcfPmTSxYsEAqHz58OL755hscP34c06dPN2CExivAW4no4L4V5mFTcB42IiKiWqtVwjZt2jS9/eDg4AYNxtj4+/tj7ty5KC4ulnrYgLKELTQ0FEVFRbV+fi0zMxN37tzBjRs3kJeXh/T0dABA7969GzBy4xDgrcQoLwXSsm/gal4RHGwtMcDVjj1rREREtVSrhO3uecVaA39/f9y+fRuenp7417/+JZUPHz4ceXl56Nq1a61fABg3bhx+//13ab98ouGW+jygqYmAwV3tDR0GERFRsyaILTVTaKE0Gg3kcjnUajXatm1r6HCIiIioBur7/c3puImIiIiMHBM2IiIiIiPHhI2IiIjIyDFhIyIiIjJyTNiIiIiIjFy9lqYiqoquVOT8a0RERA2ECRs1uOQMVYUVDpRc4YCIiKjOWu2QaG5uLubNmwc3NzfIZDI4OTkhMDAQ3333HQDAxcUFa9asqfTcnJwcCIIgrVJQbvfu3fDz84NcLoeNjQ169eqFJUuW4MaNGwCA1NRUaT3Wu7dffvmlMZvapJIzVAiNP62XrAFArroIofGnkZyhMlBkREREzVer7GHLycnB0KFD0a5dO7z99tvo1asXiouL8c0332Du3Ll1SqDeeOMNrFq1Ci+//DJWrFiBTp064ddff8XHH3+MTz75BC+99JJU98KFC3qT5nXs2LFB2mVoulIRkYmZqGwm5vKyxft+gr+HA4dHqUUzM221fwsTUSNplQnbnDlzIAgC0tLS9Bau79mzJ2bMmFHr66WlpWHFihVYs2aNXmLm4uKCUaNG4datW3r1HRwc0K5duxpdW6vVQqvVSvsajabW8TWVtOwbFXrW7pWr0eKdby7AraNNE0VF1PSmDHQ2dAhE1MK0uj8Db9y4geTkZMydO1cvWStX00Tqbtu3b4eNjQ3mzJlT6fF7r9mnTx8olUqMGDECKSkp1V47KioKcrlc2mq7dmlTuppXfbJWLq+ouJEjISIiallaXQ/bpUuXIIoiPD09G+yav/76K9zc3GBubl5tPaVSiY0bN6Jfv37QarX45JNPMGLECKSmpmLYsGGVnhMeHo6wsDBpX6PRGG3S5mBrWaN6gT6dMcjNrpGjISIiajlaXcJWvta9IDTcM1SiKNboeh4eHvDw8JD2Bw8ejD/++AOrV6+uMmGTyWSQyWQNFmtjGuBqB6XcErnqokqfYxMAKOSWGNzVns+wERER1UKrGxLt1q0bBEHAzz//3GDX7N69O3777TcUF9d+qG/QoEH49ddfGywWQzI1ERAR6AWgLDm7W/l+RKAXkzUiIqJaanUJm52dHcaMGYOPPvoIBQUFFY7f+4JATUyZMgX5+flYv359pceru+aZM2egVLacuckCvJWIDu4LhVx/eFQht0R0cF/Ow0ZERFQHrW5IFADWr1+PIUOGYMCAAViyZAl69eqFkpIS7N+/H9HR0VLv25UrVyrMtebsXPHtr4EDB+K1117DK6+8gitXruCxxx5Dp06dcOnSJXz88cfw9fXFSy+9hDVr1sDFxQU9e/bEnTt3EB8fj927d2P37t1N0ewmE+CtxCgvBVc6ICIiaiCtMmFzdXXF6dOnsXz5crzyyitQqVTo2LEj+vXrh+joaKne6tWrsXr1ar1zY2Nj4efnV+Gaq1atQr9+/fDRRx/h448/RmlpKbp27YonnngC06ZNAwDcuXMHr776Kq5cuQIrKyv07NkTX331FcaNG9eo7TUEUxMBg7vaGzoMIiKiFkEQy5/Cp2ZBo9FALpdDrVbrTb5LRERExqu+39+t7hk2IiIiouaGCRsRERGRkWPCRkRERGTkmLARERERGTkmbERERERGrlVO60GNS1cqcg42IiKiBtTie9h++OEHmJqaIiAgQK88JycHgiBIW/v27TFs2DAcOnRIr94ff/yBZ599Fp06dYKFhQW6dOmCl156CdevX6/0frNmzYKpqSl27txZ4dhPP/2EiRMnwsXFBYIgYM2aNQ3WTmORnKGC76qDmLzpOF7amY7Jm47Dd9VBJGeoDB0aERFRs9XiE7YtW7Zg3rx5OHr0KC5fvlzh+IEDB6BSqXDo0CG0bdsW48aNQ3Z2NgAgKysLDz74IC5evIgdO3ZIKxd89913GDx4MG7cuKF3rcLCQiQkJGDBggWIiYmpcK/CwkK4ublh5cqVUCgUjdNgA0rOUCE0/jRU6iK98lx1EULjTzNpIyIiqqMWPSRaUFCAXbt24eTJk8jNzUVcXBwWLVqkV8fe3h4KhQIKhQIbNmyAo6Mjvv32Wzz//POYO3cuLCws8O2338LKygpA2dJUffr0QdeuXfHGG2/orYzw2WefwcvLC+Hh4VAqlcjJyYGLi4t0vH///ujfvz8A4PXXX2/8D6AJ6UpFRCZmorJZmMvLFu/7Cf4eDhwepRbPzLTF/y1MRE2sRSdsCQkJ8PDwgIeHB4KDgzFv3jy89dZbEITKEwZra2sAQHFxMW7cuIFvvvkGy5cvl5K1cgqFAk8//TQSEhKwfv166XoxMTEIDg6GXC7HuHHjEBsbi8jIyHq1QavVQqvVSvsajaZe12ssadk3KvSs3StXo8U731yAW0ebJoqKyDCmDKy45jARUX206D8DyxMoAAgICEB+fj6+++67SusWFBQgPDwcpqamGD58OH799VeIoogePXpUWr9Hjx64efMmrl27BgD49ddfcfz4cQQFBQEAgoODERsbi9LS0nq1ISoqCnK5XNqcnJzqdb3GcjWv+mStXF5RcSNHQkRE1PK02B62CxcuIC0tDXv27AEAmJmZISgoCFu2bMHIkSOlekOGDIGJiQkKCwuhVCoRFxeHBx54ACdOnKj2+uVLsN7duzZmzBh06NABADBu3Dg8++yzOHDgAEaPHl3ndoSHhyMsLEza12g0Rpm0Odha1qheoE9nDHKza+RoiIiIWpYWm7DFxMSgpKQEnTt3lspEUYS5uTlu3rwplSUkJMDLywvt2rWDvb29VO7u7g5BEJCZmYkJEyZUuP4vv/yC9u3bo0OHDtDpdNi2bRtyc3NhZva/j1Sn0yEmJqZeCZtMJoNMJqvz+U1lgKsdlHJL5KqLKn2OTQCgkFticFd7PsNGRERUSy1ySLSkpATbtm3Du+++i/T0dGk7e/YsunTpgu3bt0t1nZyc0LVrV71kDSh7GWHUqFFYv349bt++rXcsNzcX27dvR1BQEARBwH//+1/k5eXhzJkzevf77LPPsHfv3iqnAGlJTE0ERAR6AShLzu5Wvh8R6MVkjYiIqA5aZMKWlJSEmzdv4tlnn4W3t7fe9sQTT1Q65UZl1q1bB61WizFjxuDw4cP4448/kJycjFGjRqFz585Yvnw5gLLevIcffhg+Pj5695o4cSI6duyI+Ph4AMCdO3ekZO7OnTu4cuUK0tPTcenSpUb7LJpSgLcS0cF9oZDrD48q5JaIDu6LAG+lgSIjIiJq3gSx/GGsFiQwMBClpaX46quvKhw7ffo0+vXrhx9//BH9+vXDmTNn0Lt37yqv9fvvv2Px4sVITk7G9evXoVAoMGHCBERERMDe3h5///03HB0d8emnn2LSpEkVzn/xxReRmpqKc+fOIScnB66urhXqDB8+HKmpqTVqm0ajgVwuh1qtRtu2bWt0TlPjSgdERET66vv93SITtpasOSRsREREpK++398tckiUiIiIqCVhwkZERERk5JiwERERERk5JmxERERERo4JGxEREZGRY8JGREREZORa7NJU1PQ4/xoREVHjaHU9bCEhIRAEQdrs7e0REBCAc+fOSXVEUcTGjRsxcOBA2NjYoF27dnjwwQexZs0aFBYW6l3vzz//hIWFBTw9PSu9X/l9jh8/rleu1Wphb28PQRBqPGmuMUvOUMF31UFM3nQcL+1Mx+RNx+G76iCSM1SGDo2IiKjZa3UJGwAEBARApVJBpVLhu+++g5mZGR555BHp+NSpUzF//nyMHz8eKSkpSE9Px1tvvYUvv/wS3377rd614uLi8OSTT6KwsBDff/99pfdzcnJCbGysXtkXX3wBGxubhm+cASRnqBAafxoqdZFeea66CKHxp5m0ERER1VOrHBKVyWRQKBQAAIVCgYULF2LYsGG4du0aUlJSsH37duzduxfjx4+XznFxccGjjz4KjUYjlYmiiNjYWKxfvx6Ojo6IiYnB0KFDK9xv2rRpWLt2LdasWQMrKysAwJYtWzBt2jQsXbq0kVvbuHSlIiITM1HZchnlZYv3/QR/DwcOj1KrYWbaKv8WJqJG1CoTtrvl5+dj+/btcHd3h729PbZv3w4PDw+9ZK2cIAiQy+XSfkpKCgoLCzFy5Eg4Ojpi4MCB+OCDD2Bra6t3Xr9+/eDq6ordu3cjODgYf/zxBw4fPoyPPvrovgmbVquFVquV9u9OGI1BWvaNCj1r98rVaPHONxfg1rFl9CgS3c+Ugc6GDoGIWphW+WdgUlISbGxsYGNjA1tbW+zbtw8JCQkwMTHBr7/+Cg8PjxpdJyYmBk899RRMTU3Rs2dPuLu7IyEhodK606dPx5YtWwAAsbGxGDduHDp27Hjfe0RFRUEul0ubk5NTzRvaBK7mVZ+slcsrKm7kSIiIiFquVtnD5u/vj+joaADAjRs3sH79eowdOxZpaWkQRRGCcP+hu1u3bmHPnj04evSoVBYcHIwtW7bgueeeq1A/ODgYr7/+OrKyshAXF4e1a9fWKNbw8HCEhYVJ+xqNxqiSNgdbyxrVC/TpjEFudo0cDRERUcvUKhO2Nm3awN3dXdrv168f5HI5Nm3ahO7du+Pnn3++7zU+/fRTFBUVYeDAgVKZKIooLS1FZmYmvLy89Orb29vjkUcewbPPPouioiKMHTsWeXl5972PTCaDTCarReua1gBXOyjllshVF1X6HJsAQCG3xOCu9nyGjYiIqI5a5ZDovQRBgImJCW7fvo0pU6bg4sWL+PLLLyvUE0URarUaQNlw6CuvvIL09HRpO3v2LPz9/aWhz3vNmDEDqampeOaZZ2BqatqobWoqpiYCIgLLktN707Hy/YhALyZrRERE9dAqe9i0Wi1yc3MBADdv3sS6deuQn5+PwMBADB8+HF988QUmT56Mt956C6NGjULHjh1x/vx5vP/++5g3bx5cXFxw+vRpbN++vcL8a5MnT8Ybb7yBqKgomJub6x0LCAjAtWvX0LZt2yZra1MI8FYiOrgvIhMz9V5AUMgtERHohQBvpQGjIyIiav5aZcKWnJwMpbIsibC1tYWnpyc+++wz+Pn5ASgb7ty4cSO2bNmCZcuWwczMDN26dcMzzzyDMWPG4LXXXoOXl1elk+VOmDABoaGhSExMxOOPP653TBAEdOjQodHbZwgB3kqM8lJwpQMiIqJGIIiiWNmjR2SkNBoN5HI51Gp1i+upIyIiaqnq+/3NZ9iIiIiIjBwTNiIiIiIjx4SNiIiIyMgxYSMiIiIyckzYiIiIiIxcq5zWgxqerlTklB5ERESNhAkb1VtyhqrCpLlKTppLRETUYJr1kGhISAgEQYAgCDA3N4ebmxteffVVLFiwQCqvasvJycHixYulfVNTUzg5OeG5557DtWvXpHsIggBLS0v8/vvveveeMGECQkJCpP2oqCj0798ftra2cHBwwIQJE3DhwgW9cxYvXgxPT0+0adMG7du3x8iRI3HixIlG/YwaW3KGCqHxp/WSNQDIVRchNP40kjNUBoqMiIio5Wj2PWwBAQGIjY1FcXExjhw5gueeew5BQUFQqf6XKPTv3x+zZs3CzJkzpbKOHTsCAHr27IkDBw5Ap9PhzJkzePbZZ3HlyhV8/fXXUl1BELBo0SJs3bq1yjgOHTqEuXPnon///igpKcEbb7yB0aNHIzMzE23atAEAdO/eHevWrYObmxtu376N999/H6NHj8alS5ekeJoTXamIyMTMShd9Ly9bvO8n+Hs4cHiUWhUz02b9tzARGaFmn7DJZDIoFAoAwJQpU5CSkoKkpCTExsZKdUxNTWFrayvVu5uZmZlU3rlzZ7z44otYtGgRbt++DSsrKwDAvHnz8O677+LVV1/FAw88UGkcycnJevuxsbFwcHDAjz/+iGHDhknx3e29995DTEwMzp07hxEjRlR6Xa1WC61WK+1rNJpqP4+mlJZ9o0LP2r1yNVq8880FuHW0aaKoiAxvykBnQ4dARC1Mi/sz0MrKCsXFxfU6v7S0FCUlJVLZkCFD8MgjjyA8PLzG11Gr1QAAOzu7So/fuXMHGzduhFwuh4+PT5XXiYqKglwulzYnJ6cax9DYruZVn6yVyyuq+8+DiIiIWkAP293S0tLw6aefVtlbdT+//PILoqOjMWDAANja2uodi4qKQq9evXDkyBH8+9//rvY6oigiLCwMvr6+8Pb21juWlJSEp556CoWFhVAqldi/f3+1C8KHh4cjLCxM2tdoNEaTtDnYWtaoXqBPZwxyqzxxJSIiovtr9glbUlISbGxsUFJSguLiYowfPx4ffvhhjc8/f/48bGxsoNPpoNVq4efnh40bN1ao5+XlhWeeeQYLFy7EDz/8UO01X3jhBZw7dw5Hjx6tcMzf3x/p6en4559/sGnTJjz55JM4ceIEHBwcKr2WTCaDTCarcXua0gBXOyjllshVF1X6HJsAQCG3xOCu9nyGjYiIqB6a/ZBoeQJ04cIFFBUVYc+ePVUmP5Xx8PBAeno6MjMzcfv2bRw8eBDu7u6V1o2MjMSZM2ewd+/eKq83b9487Nu3DykpKXB0dKxwvE2bNnB3d8egQYMQExMDMzMzxMTE1DheY2JqIiAi0AtAWXJ2t/L9iEAvJmtERET11OwTtvIEqEuXLjA3N6/1+RYWFnB3d4erq+t9e7KcnJzwwgsv4D//+Q90Op3eMVEU8cILL2DPnj04ePAgXF1da3R/URT1XipobgK8lYgO7guFXH94VCG3RHRwX87DRkRE1ACa/ZBoUwsPD8emTZuQnZ2NoKAgqXzu3Ln49NNP8eWXX8LW1ha5ubkAALlcDisrKxQUFGD58uV49NFHoVQqcf36daxfvx5//vknJk2aZKjmNIgAbyVGeSm40gEREVEjafY9bE3Nzs4OCxcuRFGR/huS0dHRUKvV8PPzg1KplLaEhAQAZVOL/PLLL5g4cSK6d++ORx55BNeuXcORI0fQs2dPQzSlQZmaCBjc1R7je3fmM2tEREQNTBBFsbLnxclIaTQayOVyqNVqtG3b1tDhEBERUQ3U9/ubPWxERERERo4JGxEREZGRY8JGREREZOSYsBEREREZOSZsREREREaO87BRvehKRc6/RkRE1MiabQ9bSEgIBEHA7NmzKxybM2cOBEFASEiIXvkPP/wAU1NTBAQEVDgnJycHgiAgPT39vveeNWsWTE1NsXPnTqlMEIRqt/JYli9fjiFDhsDa2hrt2rWrTZONTnKGCr6rDmLypuN4aWc6Jm86Dt9VB5GcoTJ0aERERC1Ks03YgLKlonbu3Inbt29LZUVFRdixYwecnZ0r1N+yZQvmzZuHo0eP4vLly3W6Z2FhIRISErBgwQK9NUBVKpW0rVmzBm3bttUr++CDDwAAd+7cwaRJkxAaGlqn+xuL5AwVQuNPQ6XWn0A4V12E0PjTTNqIiIgaULMeEu3bty+ysrKwZ88ePP300wCAPXv2wMnJCW5ubnp1CwoKsGvXLpw8eRK5ubmIi4vDokWLan3Pzz77DF5eXggPD4dSqUROTg5cXFygUCikOnK5HIIg6JWVi4yMBADExcXV+t7GQlcqIjIxE5XNuFxetnjfT/D3cODwKLVKZqbN+m9hIjJCzTphA4Dp06cjNjZWSti2bNmCGTNmIDU1Va9eQkICPDw84OHhgeDgYMybNw9vvfUWBKF2CUVMTAyCg4Mhl8sxbtw4xMbGSklYY9BqtXqLw2s0mka7V02lZd+o0LN2r1yNFu98cwFuHW2aKCoi4zFlYMUefiKi+mj2fwZOnToVR48eRU5ODn7//Xd8//33CA4OrlCvPNECgICAAOTn5+O7776r1b1+/fVXHD9+XFr0PTg4GLGxsSgtLa1/Q6oQFRUFuVwubU5OTo12r5q6mld9slYur6i4kSMhIiJqHZp9D1uHDh3w8MMPY+vWrRBFEQ8//DA6dOigV+fChQtIS0vDnj17AABmZmYICgrCli1bMHLkyBrfKyYmBmPGjJGuP27cODz77LM4cOAARo8e3XCNukt4eDjCwsKkfY1GY/CkzcHWskb1An06Y5CbXSNHQ0RE1PI1+4QNAGbMmIEXXngBAPDRRx9VOB4TE4OSkhJ07txZKhNFEebm5rh58ybat29/33vodDps27YNubm5MDMz0yuPiYlptIRNJpNBJpM1yrXraoCrHZRyS+Sqiyp9jk0AoJBbYnBXez7DRkRE1ABaRMIWEBCAO3fuAADGjBmjd6ykpATbtm3Du+++WyGpmjhxIrZv3y4le9X573//i7y8PJw5cwampqZS+S+//IKnn34a169fh729fQO0xviZmgiICPRCaPxpCIBe0laenkUEejFZIyIiaiAtImEzNTXFzz//LP37bklJSbh58yaeffZZyOVyvWNPPPEEYmJi9BK2CxcuVLi+l5cXYmJi8PDDD8PHx0fvWM+ePTF//nzEx8fjpZdeum+sly9fxo0bN3D58mXodDpp3jd3d3fY2DSfB/QDvJWIDu6LyMRMvRcQFHJLRAR6IcBbacDoiIiIWpYWkbABQNu2bSstj4mJwciRIyska0BZD9uKFStw+vRp2NmVPWv11FNPVah3/PhxfPXVV/j0008rHBMEAY8//jhiYmJqlLAtWrQIW7dulfb79OkDAEhJSYGfn999zzcmAd5KjPJScKUDIiKiRiaIoljZY0hkpDQaDeRyOdRqdZVJKhERERmX+n5/N/tpPYiIiIhaOiZsREREREaOCRsRERGRkWPCRkRERGTkmLARERERGTkmbERERERGrsXMw0aNT1cqcs41IiIiA2jVPWy5ubmYN28e3NzcIJPJ4OTkhMDAQHz33XcAABcXFwiCAEEQYGVlBRcXFzz55JM4ePCg3nVycnIgCIK0asHd/Pz8MH/+fL2yn3/+GY8++ijkcjlsbW0xaNAgXL58ubGa2SCSM1TwXXUQkzcdx0s70zF503H4rjqI5AyVoUMjIiJq8VptwpaTk4N+/frh4MGDePvtt3H+/HkkJyfD398fc+fOleotWbIEKpUKFy5cwLZt29CuXTuMHDkSy5cvr9N9f/vtN/j6+sLT0xOpqak4e/Ys3nrrLVhaWjZU0xpccoYKofGn9ZagAoBcdRFC408zaSMiImpkrXZIdM6cORAEAWlpaWjTpo1U3rNnT8yYMUPat7W1hUKhAAA4Oztj2LBhUCqVWLRoEZ544gl4eHjU6r5vvPEGxo0bh7ffflsqc3Nzq2drGo+uVERkYiYqWw6jvGzxvp/g7+HA4VGi/2dm2mr/FiaiRtIqE7YbN24gOTkZy5cv10vWyrVr167a81966SUsXboUX375JV577bUa37e0tBRfffUVXnvtNYwZMwZnzpyBq6srwsPDMWHChErP0Wq10Gq10r5Go6nx/RpCWvaNCj1r98rVaPHONxfg1rH5LF5P1JimDHQ2dAhE1MK0yj8DL126BFEU4enpWafz7ezs4ODggJycHL3yIUOGwMbGRm87cuSIdPzq1avIz8/HypUrERAQgG+//RaPPfYYHn/8cRw6dKjSe0VFRUEul0ubk5NTnWKuq6t51Sdr5fKKihs5EiIiotarVfawla93Lwh1H8ITRbHC+QkJCejRo4de2dNPPy39u7S0FAAwfvx4vPzyywCA3r1744cffsDHH3+M4cOHV7hPeHg4wsLCpH2NRtOkSZuDbc2erQv06YxBbnaNHA0REVHr1CoTtm7dukEQBPz8889VDkVW5/r167h27RpcXV31yp2cnODu7q5XZmVlJf27Q4cOMDMzg5eXl16dHj164OjRo5XeSyaTQSaT1TrGhjLA1Q5KuSVy1UWVPscmAFDILTG4qz2fYSMiImokrXJI1M7ODmPGjMFHH32EgoKCCsdv3bpV7fkffPABTExMap3sWVhYoH///rhw4YJe+cWLF9GlS5daXaupmJoIiAgsSzDvTcfK9yMCvZisERERNaJWmbABwPr166HT6TBgwADs3r0bv/76K37++WesXbsWgwcPlurl5eUhNzcXf/zxBw4fPoxZs2Zh2bJlWL58eYXetJpYsGABEhISsGnTJly6dAnr1q1DYmIi5syZ05DNa1AB3kpEB/eFQq4/PKqQWyI6uC8CvJUGioyIiKh1aJVDogDg6uqK06dPY/ny5XjllVegUqnQsWNH9OvXD9HR0VK9RYsWYdGiRbCwsIBCocCgQYPw3Xffwd/fv073feyxx/Dxxx8jKioKL774Ijw8PLB79274+vo2VNMaRYC3EqO8FFzpgIiIyAAEsfwJfGoWNBoN5HI51Go12rZta+hwiIiIqAbq+/3daodEiYiIiJoLJmxERERERo4JGxEREZGRY8JGREREZOSYsBEREREZuVY7rQfVjq5U5JQeREREBsKEje4rOUOFyMRMqNT/WwheKbdERKAXJ80lIiJqAs12SDQkJASCIFTYLl26VOGYvb09AgICcO7cOen8s2fPQiaTYd++fXrX3b17NywtLZGRkQEAuH37NiIiIuDh4QGZTIYOHTrgiSeewE8//aR33qZNm/Dvf/8b7du3R/v27TFy5EikpaXp1Tl8+DACAwPRqVMnCIKAvXv3Ns6H04CSM1QIjT+tl6wBQK66CKHxp5GcoTJQZERERK1Hs+5hCwgIQGxsrF5Zx44dKxzLzc3Fm2++iUceeQSXL18GAPj4+OCtt97CrFmzMHToUNjb2+Pq1auYPXs2IiMj4e3tDa1Wi5EjR+Ly5ct49913MXDgQPz999+IiorCwIEDceDAAQwaNAgAkJqaismTJ2PIkCGwtLTE22+/jdGjR+Onn35C586dAQAFBQXw8fHB9OnTMXHixKb6mOpMVyoiMjGz0kXfy8sW7/sJ/h4OHB4luouZabP9W5iIjFSzXekgJCQEt27dqrSXqrJjR44cwbBhw3D16lUpqdPpdBg8eDDc3Nywc+dOPPbYY/j7779x5MgRmJqaYtWqVQgPD8eZM2fg4+MjXau0tBQDBw5EYWEhMjIyIAgVkxWdTof27dtj3bp1eOaZZyocFwQBX3zxxX0XkNdqtdBqtdK+RqOBk5NTk6x0cOy365i86fh96z3n6wq3jjaNGgtRczJloLOhQyAiI8OVDmogPz8f27dvh7u7O+zt7aVyU1NTbN26FV9++SWmTJmCb775BnFxcTA1NQUAfPrppxg1apResgYAJiYmePnll5GZmYmzZ89Wes/CwkIUFxfDzs6uXrFHRUVBLpdLm5OTU72uVxtX84ruXwlAXlFxI0dCRETUujXrIdGkpCTY2PyvZ2fs2LH47LPPKhwrKCiAUqlEUlISTEz0c9QePXpg/vz5WLlyJVatWoXu3btLxy5evFjlIu89evSQ6vTu3bvC8ddffx2dO3fGyJEj69XG8PBwhIWFSfvlPWxNwcHWskb1An06Y5Bb/RJTIiIiqlqzTtj8/f0RHR0t7bdp06bSYzdu3MD69esxduxYpKWloUuXLlK9/Px8JCQkwNraGkeOHMFrr71Wo3uXjyRXNhz69ttvY8eOHUhNTYWlZc2SnqrIZDLIZLJ6XaOuBrjaQSm3RK66qNLn2AQACrklBne15zNsREREjahZD4m2adMG7u7u0qZUKis9NmDAAMTExKCgoACbNm3Su8aCBQtgYWGBH374Ad999x22bdsmHevevTsyMzMrvfcvv/wCAOjWrZte+erVq7FixQp8++236NWrV0M11SBMTQREBHoBKEvO7la+HxHoxWSNiIiokTXrhK02BEGAiYkJbt++LZXt378fmzdvRlxcHHx8fLBixQrMnz8fKlXZVBVPPfUUDhw4UOE5tdLSUrz//vvw8vLSe77tnXfewdKlS5GcnIwHH3ywaRrWyAK8lYgO7guFXL+nUCG3RHRwX87DRkRE1ASa9ZBodbRaLXJzcwEAN2/exLp165Cfn4/AwEAAZc+CPfvss3j11VelqTlefPFF7N69G7NmzUJiYiJefvllfPnllwgMDNSb1mPFihX4+eefceDAAWlI9O2338Zbb72FTz/9FC4uLtK9bWxspGfp8vPzcenSJSnG7OxspKenw87ODs7OxvtWWYC3EqO8FFzpgIiIyFDEZmratGni+PHjqzyGsqnCRACira2t2L9/f/Hzzz+X6kyfPl309vYWtVqt3rm//vqraG1tLW7dulUURVEsKCgQ33zzTdHd3V00NzcX7ezsxIkTJ4rnz5/XO69Lly569yzfIiIipDopKSmV1pk2bVqN261Wq0UAolqtrvE5REREZFj1/f5utvOwtVb1nceFiIiImh7nYSMiIiJq4ZiwERERERk5JmxERERERo4JGxEREZGRY8JGREREZORa7DxsVDu6UpHzrBERERmpFt/DFhISAkEQIAgCzM3N4ebmhldffRULFiyQyqvacnJyAJS9ivvWW2+hZ8+esLKygr29Pfr374+3334bN2/elO6VlZWFyZMno1OnTrC0tISjoyPGjx+PixcvSnWWL1+OIUOGwNraGu3atWviT6NyyRkq+K46iMmbjuOlnemYvOk4fFcdRHKGytChEREREVpBwgYAAQEBUKlUyMrKwrJly7B+/Xr8888/UKlU0ubo6IglS5bolTk5OeHGjRsYNGgQYmNj8eqrr+LEiRP4/vvvERERgfT0dHz66acAgDt37mDUqFHQaDTYs2cPLly4gISEBHh7e0OtVkux3LlzB5MmTUJoaKihPg49yRkqhMafhkpdpFeeqy5CaPxpJm1ERERGoFUMicpkMigUCgDAlClTkJKSgqSkJMTGxkp1TE1NYWtrK9Ur95///AeXL1/GhQsX0LlzZ6nc09MTjzzyCMrnHc7MzERWVhYOHjyILl26AAC6dOmCoUOH6l0vMjISABAXF9fg7awtXamIyMRMVDZzcnnZ4n0/wd/DgcOjRLVgZtoq/hYmoibUKhK2e1lZWaG4uPi+9UpLS5GQkIDg4GC9ZO1u5WuJduzYESYmJvj8888xf/58mJqaNkisWq0WWq1W2tdoNA1yXQBIy75RoWftXrkaLd755gLcOto02H2JWropA413bWAiap5a3Z+BaWlp+PTTTzFixIj71r127Rpu3boFDw8PvfJ+/fpJi7pPnjwZANC5c2esXbsWixYtQvv27fHQQw9h6dKlyMrKqle8UVFRkMvl0ubk5FSv693tal71yVq5vKL7J7dERETUeFpFD1tSUhJsbGxQUlKC4uJijB8/Hh9++GGNzy/vRSv3xRdf4M6dO1i4cCFu374tlc+dOxfPPPMMUlJScOLECXz22WdYsWIF9u3bh1GjRtUp9vDwcISFhUn7Go2mwZI2B1vLGtUL9OmMQW52DXJPIiIiqr1WkbD5+/sjOjoa5ubm6NSpE8zNzWt0XseOHdGuXTv88ssveuXOzmXDHba2trh165beMVtbWzz66KN49NFHsWzZMowZMwbLli2rc8Imk8kgk8nqdO79DHC1g1JuiVx1UaXPsQkAFHJLDO5qz2fYiIiIDKhVDIm2adMG7u7u6NKlS42TNQAwMTHBk08+ifj4eFy5cqXW9xUEAZ6enigoKKj1uU3B1ERARKAXgLLk7G7l+xGBXkzWiIiIDKxVJGz1sWLFCnTu3BkDBw7Eli1bcO7cOfz222/44osvcOzYMenlgvT0dIwfPx6ff/45MjMzcenSJcTExGDLli0YP368dL3Lly8jPT0dly9fhk6nQ3p6OtLT05Gfn2+Q9gV4KxEd3BcKuf7wqEJuiejgvgjwVhokLiIiIvqfVjEkWh/29vZIS0vDqlWr8M477yA7OxsmJibo1q0bgoKCMH/+fACAo6MjXFxcEBkZiZycHAiCIO2//PLL0vUWLVqErVu3Svt9+vQBAKSkpMDPz68pmyYJ8FZilJeCKx0QEREZKUEsn0iMmgWNRgO5XA61Wo22bdsaOhwiIiKqgfp+f3NIlIiIiMjIMWEjIiIiMnJM2IiIiIiMHBM2IiIiIiPHhI2IiIjIyDFhIyIiIjJyTNiIiIiIjBwTNiIiIiIjx4SNiIiIyMhxaapmpnxhCo1GY+BIiIiIqKbKv7frusAUE7ZmJi8vDwDg5ORk4EiIiIiotvLy8iCXy2t9HtcSbWZKS0vx119/wdbWFoJgfIuzazQaODk54Y8//miVa52y/a27/QA/g9befoCfAdtfeftFUUReXh46deoEE5PaP5HGHrZmxsTEBI6OjoYO477atm3bKv+PWo7tb93tB/gZtPb2A/wM2P6K7a9Lz1o5vnRAREREZOSYsBEREREZOSZs1KBkMhkiIiIgk8kMHYpBsP2tu/0AP4PW3n6AnwHb3zjt50sHREREREaOPWxERERERo4JGxEREZGRY8JGREREZOSYsBEREREZOSZsVC/Lly/HkCFDYG1tjXbt2tXonJCQEAiCoLcNGjSocQNtRHX5DERRxOLFi9GpUydYWVnBz88PP/30U+MG2khu3ryJqVOnQi6XQy6XY+rUqbh161a15zT334H169fD1dUVlpaW6NevH44cOVJt/UOHDqFfv36wtLSEm5sbPv744yaKtHHUpv2pqakVftaCIOCXX35pwogbzuHDhxEYGIhOnTpBEATs3bv3vue0pJ9/bdvf0n7+UVFR6N+/P2xtbeHg4IAJEybgwoUL9z2vIX4HmLBRvdy5cweTJk1CaGhorc4LCAiASqWStv/+97+NFGHjq8tn8Pbbb+O9997DunXrcPLkSSgUCowaNUpaK7Y5mTJlCtLT05GcnIzk5GSkp6dj6tSp9z2vuf4OJCQkYP78+XjjjTdw5swZ/Pvf/8bYsWNx+fLlSutnZ2dj3Lhx+Pe//40zZ87gP//5D1588UXs3r27iSNvGLVtf7kLFy7o/by7devWRBE3rIKCAvj4+GDdunU1qt/Sfv61bX+5lvLzP3ToEObOnYvjx49j//79KCkpwejRo1FQUFDlOQ32OyASNYDY2FhRLpfXqO60adPE8ePHN2o8hlDTz6C0tFRUKBTiypUrpbKioiJRLpeLH3/8cSNG2PAyMzNFAOLx48elsmPHjokAxF9++aXK85rz78CAAQPE2bNn65V5enqKr7/+eqX1X3vtNdHT01Ov7PnnnxcHDRrUaDE2ptq2PyUlRQQg3rx5swmia1oAxC+++KLaOi3t53+3mrS/Jf/8RVEUr169KgIQDx06VGWdhvodYA8bGURqaiocHBzQvXt3zJw5E1evXjV0SE0mOzsbubm5GD16tFQmk8kwfPhw/PDDDwaMrPaOHTsGuVyOgQMHSmWDBg2CXC6/b1ua4+/AnTt38OOPP+r97ABg9OjRVbb32LFjFeqPGTMGp06dQnFxcaPF2hjq0v5yffr0gVKpxIgRI5CSktKYYRqVlvTzr4+W+vNXq9UAADs7uyrrNNTvABM2anJjx47F9u3bcfDgQbz77rs4efIkHnroIWi1WkOH1iRyc3MBAP/617/0yv/1r39Jx5qL3NxcODg4VCh3cHCoti3N9Xfgn3/+gU6nq9XPLjc3t9L6JSUl+Oeffxot1sZQl/YrlUps3LgRu3fvxp49e+Dh4YERI0bg8OHDTRGywbWkn39dtOSfvyiKCAsLg6+vL7y9vaus11C/A2Z1jpRarMWLFyMyMrLaOidPnsSDDz5Yp+sHBQVJ//b29saDDz6ILl264KuvvsLjjz9ep2s2tMb+DABAEAS9fVEUK5QZSk3bD1RsB3D/tjSH34Hq1PZnV1n9ysqbi9q038PDAx4eHtL+4MGD8ccff2D16tUYNmxYo8ZpLFraz782WvLP/4UXXsC5c+dw9OjR+9ZtiN8BJmxUwQsvvICnnnqq2jouLi4Ndj+lUokuXbrg119/bbBr1ldjfgYKhQJA2V9dSqVSKr969WqFv8IMpabtP3fuHP7+++8Kx65du1arthjj70BlOnToAFNT0wq9SdX97BQKRaX1zczMYG9v32ixNoa6tL8ygwYNQnx8fEOHZ5Ra0s+/obSEn/+8efOwb98+HD58GI6OjtXWbajfASZsVEGHDh3QoUOHJrvf9evX8ccff+glL4bWmJ+Bq6srFAoF9u/fjz59+gAoezbo0KFDWLVqVaPcs7Zq2v7BgwdDrVYjLS0NAwYMAACcOHECarUaQ4YMqfH9jPF3oDIWFhbo168f9u/fj8cee0wq379/P8aPH1/pOYMHD0ZiYqJe2bfffosHH3wQ5ubmjRpvQ6tL+ytz5swZo/9ZN5SW9PNvKM355y+KIubNm4cvvvgCqampcHV1ve85DfY7UKtXFIju8fvvv4tnzpwRIyMjRRsbG/HMmTPimTNnxLy8PKmOh4eHuGfPHlEURTEvL0985ZVXxB9++EHMzs4WU1JSxMGDB4udO3cWNRqNoZpRL7X9DERRFFeuXCnK5XJxz5494vnz58XJkyeLSqWyWX4GAQEBYq9evcRjx46Jx44dEx944AHxkUce0avTkn4Hdu7cKZqbm4sxMTFiZmamOH/+fLFNmzZiTk6OKIqi+Prrr4tTp06V6mdlZYnW1tbiyy+/LGZmZooxMTGiubm5+PnnnxuqCfVS2/a///774hdffCFevHhRzMjIEF9//XURgLh7925DNaFe8vLypP+PAxDfe+898cyZM+Lvv/8uimLL//nXtv0t7ecfGhoqyuVyMTU1VVSpVNJWWFgo1Wms3wEmbFQv06ZNEwFU2FJSUqQ6AMTY2FhRFEWxsLBQHD16tNixY0fR3NxcdHZ2FqdNmyZevnzZMA1oALX9DESxbGqPiIgIUaFQiDKZTBw2bJh4/vz5pg++AVy/fl18+umnRVtbW9HW1lZ8+umnK7zC39J+Bz766COxS5cuooWFhdi3b1+9V/qnTZsmDh8+XK9+amqq2KdPH9HCwkJ0cXERo6OjmzjihlWb9q9atUrs2rWraGlpKbZv31709fUVv/rqKwNE3TDKp6m4d5s2bZooii3/51/b9re0n39lbb/3v++N9Tsg/H8ARERERGSkOK0HERERkZFjwkZERERk5JiwERERERk5JmxERERERo4JGxEREZGRY8JGREREZOSYsBEREREZOSZsREREREaOCRsRkZHIycmBIAhIT08HAKSmpkIQBNy6dcugcRGR4TFhIyKqQkhICCZMmGCw+w8ZMgQqlQpyudxgMRCRcTAzdABERFQ5CwsLKBQKQ4dBREaAPWxERHVw6NAhDBgwADKZDEqlEq+//jpKSkqk48nJyfD19UW7du1gb2+PRx55BL/99pveNdLS0tCnTx9YWlriwQcfxJkzZ/SO3zskGhcXh3bt2uGbb75Bjx49YGNjg4CAAKhUKumckpISvPjii9J9Fy5ciGnTpun1FH7++ed44IEHYGVlBXt7e4wcORIFBQUN/yERUYNhwkZEVEtXrlzBuHHj0L9/f5w9exbR0dGIiYnBsmXLpDoFBQUICwvDyZMn8d1338HExASPPfYYSktLpeOPPPIIPDw88OOPP2Lx4sV49dVX73vvwsJCrF69Gp988gkOHz6My5cv6523atUqbN++HbGxsfj++++h0Wiwd+9e6bhKpcLkyZMxY8YM/Pzzz0hNTcXjjz8OURQb7gMiogbHIVEiolpav349nJycsG7dOgiCAE9PT/z1119YuHAhFi1aBBMTE0ycOFHvnJiYGDg4OCAzMxPe3t7Yvn07dDodtmzZAmtra/Ts2RN//vknQkNDq713cXExPv74Y3Tt2hUA8MILL2DJkiXS8Q8//BDh4eF47LHHAADr1q3Df//7X+m4SqVCSUkJHn/8cXTp0gUA8MADDzTI50JEjYc9bEREtfTzzz9j8ODBEARBKhs6dCjy8/Px559/AgB+++03TJkyBW5ubmjbti1cXV0BAJcvX5au4ePjA2tra+kagwcPvu+9ra2tpWQNAJRKJa5evQoAUKvV+PvvvzFgwADpuKmpKfr16yft+/j4YMSIEXjggQcwadIkbNq0CTdv3qzLx0BETYgJGxFRLYmiqJeslZcBkMoDAwNx/fp1bNq0CSdOnMCJEycAAHfu3NGrX1vm5uZ6+4IgVLhWVbEBZQnc/v378fXXX8PLywsffvghPDw8kJ2dXad4iKhpMGEjIqolLy8v/PDDD3qJ0A8//ABbW1t07twZ169fx88//4w333wTI0aMQI8ePSr0Ynl5eeHs2bO4ffu2VHb8+PF6xSWXy/Gvf/0LaWlpUplOp6vwMoMgCBg6dCgiIyNx5swZWFhY4IsvvqjXvYmocfEZNiKiaqjVamki23KzZs3CmjVrMG/ePLzwwgu4cOECIiIiEBYWBhMTE7Rv3x729vbYuHEjlEolLl++jNdff13vGlOmTMEbb7yBZ599Fm+++SZycnKwevXqesc7b948REVFwd3dHZ6envjwww9x8+ZNqdftxIkT+O677zB69Gg4ODjgxIkTuHbtGnr06FHvexNR42HCRkRUjdTUVPTp00evbNq0afjvf/+LBQsWwMfHB3Z2dlLiBQAmJibYuXMnXnzxRXh7e8PDwwNr166Fn5+fdA0bGxskJiZi9uzZ6NOnD7y8vLBq1aoKLyvU1sKFC5Gbm4tnnnkGpqammDVrFsaMGQNTU1MAQNu2bXH48GGsWbMGGo0GXbp0wbvvvouxY8fW675E1LgEke9yExG1WKWlpejRoweefPJJLF261NDhEFEdsYeNiKgF+f333/Htt99i+PDh0Gq1WLduHbKzszFlyhRDh0ZE9cCXDoiIWhATExPExcWhf//+GDp0KM6fP48DBw7wGTWiZo5DokRERERGjj1sREREREaOCRsRERGRkWPCRkRERGTkmLARERERGTkmbERERERGjgkbERERkZFjwkZERERk5JiwERERERm5/wNmduozf0c05QAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot top loadings for factor 3 (breast cancer)\n", "sofa.pl.plot_top_loadings(model, view=\"rna\", factor = 3, top_n=20)" ] }, { "cell_type": "code", "execution_count": 32, "id": "9ed1f7fa-92a1-4517-9d3f-216d5862934b", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot top rna loadings for factor 10 \n", "sofa.pl.plot_top_loadings(model, view=\"rna\", factor = 10, top_n=20)" ] }, { "cell_type": "code", "execution_count": 33, "id": "753fa8e7-ebb0-45b5-ac03-2db7ba923087", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot top protein loadings for factor 10 \n", "sofa.pl.plot_top_loadings(model, view=\"protein\", factor = 10, top_n=20)" ] }, { "cell_type": "code", "execution_count": 35, "id": "c2be8e11-beee-4a1a-a3e7-989a8cd5e0f7", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot enrichment of loadings of factor 10\n", "loadings = sofa.tl.get_top_loadings(model,factor=10, view=\"rna\", sign=\"+\", top_n=100)\n", "loadings2 = sofa.tl.get_top_loadings(model,factor=10, view=\"rna\", sign=\"-\", top_n=100)\n", "\n", "sofa.pl.plot_enrichment(loadings, background=mdata.mod[\"RNA\"].var, db=[ \"Reactome_2022\",\"GO_Biological_Process_2023\"], top_n=[2,2])\n", "sofa.pl.plot_enrichment(gene_list=loadings2,db=[\"Reactome_2022\"], top_n=[4],background=mdata.mod[\"RNA\"].var)\n", "\n" ] } ], "metadata": { "kernelspec": { "display_name": "scib", "language": "python", "name": "scib" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.5" }, "toc-autonumbering": false, "toc-showcode": false, "toc-showmarkdowntxt": false, "toc-showtags": false }, "nbformat": 4, "nbformat_minor": 5 }