{ "cells": [ { "cell_type": "markdown", "id": "71cf25ed", "metadata": {}, "source": [ "# 5 - Comparison with orthogonal methods \n", "\n", "**Description:** This notebook contains an example on how to read SRX localization data (in csv format) and extract spatial features to compare with other orthogonal methods, in this case HiC. \n", "\n", "The following index has links to the different sections of the notebook. Some sections may have additional indexes to access the subparts. \n", "If you are using VS Code to visualize the notebook, the links will not work. This is due to how VC Code render the notebook. To navigate the notebook use the outline panel. To know more about it, check this [link](https://code.visualstudio.com/docs/getstarted/userinterface#_outline-view)." ] }, { "cell_type": "markdown", "id": "84191e9b", "metadata": {}, "source": [ "Content:\n", "\n", "- [Library imports and functions](#library-imports-and-functions)\n", "- [Setting some variables](#setting-some-variables)\n", "- [Exporting the data with CIMA](#exporting-the-data-with-cima)\n", "- [Proximity frequency ensemble matrix](#proximity-frequency-ensemble-matrix)\n", "\n", "Next notebook to run: \n", "[Morphological feature extraction](6_Morphological_features_extraction.ipynb)" ] }, { "cell_type": "markdown", "id": "40b64e09", "metadata": {}, "source": [ "
\n", " IMPORTANT\n", "
\n", "
\n", "
\n", "CIMA doesn't install hic-straw or cooler by default. To be able to run this notebook one (or both) libraries have to be installed.\n", "
" ] }, { "cell_type": "markdown", "id": "08f63401", "metadata": {}, "source": [ "## Library imports and functions" ] }, { "cell_type": "markdown", "id": "3a833d2a", "metadata": {}, "source": [ "[Back to the general index](#comparison-with-orthogonal-methods)" ] }, { "cell_type": "code", "execution_count": 1, "id": "4e7216b3", "metadata": {}, "outputs": [], "source": [ "import re\n", "from pathlib import Path\n", "from collections import defaultdict\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from matplotlib.colors import LinearSegmentedColormap\n", "from matplotlib import colormaps\n", "import seaborn as sns\n", "import pandas as pd\n", "from scipy.stats import pearsonr\n", "\n", "from cima.parsers.parser_csv import CSVParser\n", "from cima.utils.walk_features import convertToMatrix, convertToFreq, getSegmentFeatures\n", "from cima.utils.matrices_comparison import pearson_corr, scc, spearman_corr\n", "from cima.segments.segment_gaussian import TransformBlurrer\n", "\n", "# Set the maximum number of rows to display in the output\n", "pd.options.display.max_rows = 999\n", "\n", "# Set the options for saving the plots\n", "plot_opts = {\"dpi\": 300, \"bbox_inches\": 'tight', \"transparent\": True}\n", "\n", "# Labels for the plots of the features, so they look nice\n", "plot_labels={\n", " \"volume\":\"Volume ($nm^3$)\",\n", " \"area\":\"Area ($nm^2$)\",\n", " \"sphericity\":\"Sphericity\",\n", " \"sphericity_bribiesca\":\"Sphericity Bribiesca\",\n", " \"density_kb\":\"Density (blink/bp)\",\n", " \"density\":\"Density (blink/$nm^3$)\",\n", " \"compaction\":\"Genomic compactness (bp/$nm^3$)\",\n", " \"solidity\":\"Solidity\",\n", " \"radius_of_gyration\":\"Radius of gyration\",\n", " \"point_cloud_ellipticity\":\"Ellipticity\"\n", " }\n", "\n", "# When showing dataframes we want that this are the first columns, so the user can manually search for them (not recomended)\n", "first_cols = [\"experimentID\", \"nucleusID\", \"chromosome\", \"homolog\", \"timepoint\", \"name\", \"flag\"]\n", "\n", "## Regular expressions to get the metadata from the filename\n", "regex_patterns = {\n", " \"nucleusID\": re.compile(r\"(?i)nuc(\\d+)\"), # This searches for \"Nuc\" or \"nuc\" followed by digits\n", " \"cellID\": re.compile(r\"(?i)cell(\\d+)\"), # This searches for \"Cell\" or \"cell\" followed by digits\n", " \"locationID\" : re.compile(r\"(?i)loc-?(\\d+)\"), # This searches for \"Loc\" or \"loc\" followed by optional hyphen and digits\n", " \"date\" : re.compile(r\"(\\d{4}[-\\.]\\d{2}[-\\.]\\d{2})\"), # This searches for dates in the format YYYY-MM-DD or YYYY.MM.DD\n", " \"homolog\" : re.compile(r\"_([ABPM01pm])\"), ## Added just in case the homolog is in the filename.\n", " \"chromosome\" : re.compile(r\"(?i)(chr[\\d+MXY])\") ## Added just in case the chromosome is in the filename.\n", " }\n", "\n", "# Dictionary to change all the data types of the columns of the different dataframes, so the notebook is mor memory\n", "# efficient.\n", "dtype_dict = {\n", " \"experimentID\" : \"string\", \"nucleusID\" : \"string\", \"chromosome\" : \"string\",\n", " \"homolog\" : \"string\", \"timepoint\" : np.int16, \"Name\" : \"string\", \"flag\" : \"string\", \"segment1\" : np.int16,\n", " \"segment1_timepoint\" : np.int16, \"segment2_name\" : \"string\", \"flag_seg1\" : \"string\", \"segment2\" : np.int16,\n", " \"segment2_timepoint\" : np.int16, \"segment2_name\" : \"string\", \"flag_seg2\" : \"string\", \"coms_distance\" : np.float32,\n", " \"surface_distance\" : np.float32, \"entanglement\" : np.float32, \"volume\" : np.float32,\n", " \"area\" : np.float32, \"sphericity_bribiesca\" : np.float32, \"sphericity\" : np.float32, \"radius_of_gyration\" : np.float32,\n", " \"point_cloud_ellipticity\" : np.float32, \"point_cloud_eccentricity\" : np.float32, \"mvee_ellipticity\" : np.float32,\n", " \"mvee_eccentricity\" : np.float32, \"solidity\" : np.float32, \"holeless_solidity\" : np.float32,\n", " \"numerosity\" : np.uint32, \"compaction\" : np.float32, \"density\" : np.float32, \"density_kb\" : np.float32\n", "}\n", "\n", "# We create a color map that goes from white to red for the HiC plots (put it in CIMA)\n", "if \"bright_red\" not in colormaps:\n", " colormaps.register(name=\"bright_red\", cmap=LinearSegmentedColormap.from_list(\"bright_red\", [(1,1,1),(1,0,0)]))" ] }, { "cell_type": "code", "execution_count": 2, "id": "edb3d44b", "metadata": {}, "outputs": [], "source": [ "# Function to get a dictionary to change dtypes from pandas (and save a bit of memory)\n", "def get_dtype_dict(columns_list: list, dict_dtype: dict) -> dict:\n", " \"\"\"\n", " Function to get a dictionary to facilitate the change of data types of pandas columns.\n", " This results in saving memory overall.\n", "\n", " Parameters\n", " ----------\n", " columns_list : list\n", " List of the columns in the DataFrame (you can use df_name.columns)\n", " dict_dtype : dict\n", " Dictionary with the desired data types for specific columns.\n", "\n", " Returns\n", " -------\n", " dict\n", " Dictionary with the desired data types for specific columns.\n", " \"\"\"\n", "\n", " return {key: val for key,val in dict_dtype.items() if key in columns_list}" ] }, { "cell_type": "markdown", "id": "dd945e05", "metadata": {}, "source": [ "## Setting some variables" ] }, { "cell_type": "markdown", "id": "128d65bc", "metadata": {}, "source": [ "In the following cell you should set up some variables for the script to run properly. Change the variables at your convenience, and then you can press \"Run all\" in the Jupyter Notebook. \n", "\n", "Brief explanation of the different variables:\n", "\n", "\n", "The notebook will create a folder in the work_folder path called `5_comparison_with_orthogonal_methods`. Inside this folder 2 subfolders will be created, one for `tsvs` and one for `plots`. Inside each folder, a sub-subfolder with the suffix name will have the plots/tsvs for that experiment.\n", "\n", "
\n",
    "5_comparison_with_orthogonal_methods/\n",
    "|-- tsvs/\n",
    "|   |-- example_tsv_SUFFIX.tsv\n",
    "|-- plots/\n",
    "|   |-- example_plot_SUFFIX.pdf\n",
    "
\n", "\n", "[Back to the general index](#comparison-with-orthogonal-methods)" ] }, { "cell_type": "code", "execution_count": 3, "id": "025d3f46", "metadata": {}, "outputs": [], "source": [ "work_folder = \"/scratch/CIMA_tutorial/\"\n", "data_folder = \"/scratch/CIMA_tutorial/data/chr3\"\n", "\n", "info_file = \"/scratch/CIMA_tutorial/data/chr3/Info_chr3.txt\"\n", "\n", "column_round = \"Round\"\n", "column_name = \"Name\"\n", "column_size = \"Size(kb)\"\n", "column_chr = \"Chr\"\n", "column_start_pos = \"Start(hg19)\"\n", "column_end_pos = \"End(hg19)\"\n", "\n", "number_of_steps_library = 16\n", "starting_step = 6\n", "\n", "prec_mean_dataset = 30\n", "\n", "save_plots = False\n", "\n", "file_suffix = \"chr3\"" ] }, { "cell_type": "code", "execution_count": 4, "id": "82af39ff", "metadata": {}, "outputs": [], "source": [ "work_folder = Path(work_folder)\n", "data_folder = Path(data_folder)\n", "pre_assessment_folder = Path(work_folder, \"2_experimental_quality_assessment\")\n", "reconstruction_tsv_folder = Path(work_folder, \"3_3D_reconstruction_assessment\", \"tsvs\", file_suffix)\n", "\n", "info_df = pd.read_table(Path(info_file), sep=\"\\t\")\n", "info_df.columns = info_df.columns.str.strip() # In case there are leading or trailing spaces in the column names\n", "\n", "info_file_dict = {\n", " \"column_round\" : column_round,\n", " \"column_name\" : column_name,\n", " \"column_size\" : column_size,\n", " \"column_chr\" : column_chr,\n", " \"column_start_pos\" : column_start_pos,\n", " \"column_end_pos\" : column_end_pos,\n", "}\n", "\n", "del column_round, column_name, column_size, column_chr, column_start_pos, column_end_pos, info_file" ] }, { "cell_type": "markdown", "id": "137d1fd0", "metadata": {}, "source": [ "## Exporting the data with CIMA" ] }, { "cell_type": "markdown", "id": "9aa8950c", "metadata": {}, "source": [ "Content:\n", "- [Creating the list of CIMA StructuralObject](#creating-the-list-of-cima-structuralobject)\n", "- [Checking the information file](#checking-the-information-file)\n", "- [Creating a color palette and the results files](#creating-a-color-palette-and-the-results-folders-for-the-tsv-and-plot-files)\n", "\n", "[Back to the general index](#comparison-with-orthogonal-methods)" ] }, { "cell_type": "markdown", "id": "7edca27a", "metadata": {}, "source": [ "### Creating the list of CIMA StructuralObject" ] }, { "cell_type": "markdown", "id": "faec52f5", "metadata": {}, "source": [ "In this cell we create a list of StructuralObjects (the main CIMA class type). \n", "This list is the basis to do the assessment through this Jupyter Notebook. \n", "\n", "When loading the data, we will also take out those traces or CS that did not pass the assessment in the previous notebooks. \n", " \n", "When reading the file, it will also add some metadata gathered from the filename of the csv file:\n", "\n", "\n", "[Back to the section index](#exporting-the-data-with-cima)" ] }, { "cell_type": "code", "execution_count": 5, "id": "23c69342", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total number of files found: 33\n", "Loading the experimental quality data from the CSV files\n", "Loading the bad flags from the CSV files\n", "\tCreating the 'flag' column for reconstruction-based removal\n", "\tSkipping file 2: 2018-07-10_nuc04_A_chr3 because it did not pass the experimental quality assessment.\n", "\tSkipping file 5: 2018-07-10_nuc03_A_chr3 because it did not pass the experimental quality assessment.\n", "\tExcluding timepoint 19 in experimentID: 2018-09-04, nucleusID: 7, homolog: A because it has less than 10 points.\n", "\tSkipping file 26: 2018-09-04_nuc01_A_chr3 because it did not pass the experimental quality assessment.\n", "Processing file 33: 2018-09-04_nuc06_A_chr3\n", "Total number of objects created: 30\n" ] } ], "source": [ "# Get a list of all CSV files in the specified data folder\n", "csv_files = list(data_folder.glob('*.csv'))\n", "\n", "if len(csv_files) == 0:\n", " print(\"No files found, please input the correct work_folder\")\n", "else:\n", " print(f\"Total number of files found: {len(csv_files)}\")\n", "\n", "print(\"Loading the experimental quality data from the CSV files\")\n", "traces_pass = pd.read_csv(Path(pre_assessment_folder, f\"experimental_assessment_pass_{file_suffix}.txt\"), sep=\"\\t\", names=[\"trace\"])\n", "\n", "print(\"Loading the bad flags from the CSV files\")\n", "segments_to_remove_CCC = pd.read_csv(Path(reconstruction_tsv_folder, f'segments2remove_bycccvariation_t2{(\"_\" + file_suffix) if file_suffix != \"\" else \"\"}.tsv'), sep=\"\\t\")\n", "if \"flag\" not in segments_to_remove_CCC.columns and not segments_to_remove_CCC.empty:\n", " print(\"\\tCreating the 'flag' column for reconstruction-based removal\")\n", " segments_to_remove_CCC[\"flag\"] = segments_to_remove_CCC[[\"experimentID\", \"nucleusID\", \"homolog\", \"timepoint\"]].astype(str).apply(\"_\".join, axis=1)\n", " bad_flags = set(segments_to_remove_CCC[\"flag\"].astype(str).values)\n", "elif not segments_to_remove_CCC.empty:\n", " bad_flags = set(segments_to_remove_CCC[\"flag\"].astype(str).values)\n", "else:\n", " bad_flags = set()\n", "\n", "# Get a list of metadata keys to extract from filenames\n", "metadata_keys = [\"nucleusID\", \"cellID\", \"locationID\", \"date\", \"homolog\", \"chromosome\"]\n", "\n", "# Initialize an empty list to store the StructuralObject instances\n", "obj_list = []\n", "\n", "list_of_rog = []\n", "\n", "if len(csv_files) > 0:\n", " # Iterate over each file in the list of file names\n", " for count, filein in enumerate(csv_files, start=1):\n", "\n", " stem = Path(filein).stem\n", "\n", " if not stem in traces_pass[\"trace\"].values:\n", " print(f\"\\tSkipping file {count}: {stem} because it did not pass the experimental quality assessment.\")\n", " continue\n", "\n", " print(f\"Processing file {count}: {stem}\", end=\"\\r\")\n", "\n", " # We mine the metadata from the filename using regex patterns. If not possible, assign default values.\n", " # In the case of nucleus, cell and location, the default is the filecount (first file read will be number 1, ...)\n", " # In the case of date, if no date can be found, the filename gets used.\n", " # If no valid homolog denomination is found, the default value is A.\n", " # If no valid chromosome denomination is found, the default value is chrN.\n", " metadata_CIMA = {\n", " key: (match.group(1) if (match := regex_patterns[key].search(stem)) else default)\n", " for key, default in zip(metadata_keys, [count, count, count, stem, \"A\", \"chrN\"])\n", " }\n", "\n", " # Adjust the metadata for nucleus and cell (if nucleus is count, but cell is something, use the cell match in nucleus)\n", " if \"cellID\" in metadata_CIMA and metadata_CIMA[\"nucleusID\"] == count:\n", " metadata_CIMA[\"nucleusID\"] = metadata_CIMA[\"cellID\"]\n", "\n", " # Set experimentID as date for consistency\n", " metadata_CIMA[\"experimentID\"] = metadata_CIMA[\"date\"]\n", "\n", " # Read the CSV file and create a StructuralObject instance\n", " objin = CSVParser.read_CSV_file(filein.as_posix(), metadata = metadata_CIMA, content_type = \"srx\")\n", "\n", " # Filter the atomList to include only the specified timepoints in the info file\n", " objin.atomList = objin.atomList[(objin.atomList['timepoint'] >= starting_step - 1) &\n", " (objin.atomList['timepoint'] < (starting_step + number_of_steps_library - 1))].copy()\n", " \n", " experiment_id = objin.metadata[\"experimentID\"]\n", " nucleus_id = int(objin.metadata[\"nucleusID\"])\n", " homolog = objin.metadata[\"homolog\"]\n", " \n", " full_flags = (experiment_id + \"_\" + str(nucleus_id) + \"_\" +homolog + \"_\" + objin.atomList[\"timepoint\"].astype(str))\n", " remove_mask = full_flags.isin(bad_flags)\n", "\n", " if remove_mask.any():\n", " removed_tps = objin.atomList.loc[remove_mask, \"timepoint\"].unique()\n", " # removed_tps = \",\".join([tp_names[tp] for tp in removed_tps])\n", " # print(f\"Excluding timepoints {removed_tps} in experimentID: {experiment_id}, nucleusID: {nucleus_id}, homolog: {homolog} due to poor assessment.\")\n", " objin.atomList = objin.atomList.loc[~remove_mask].copy()\n", "\n", " for tp in objin.atomList[\"timepoint\"].unique():\n", " # Take out the timepoint from the atomList if it has less tha 10 points\n", " tp_mask = objin.atomList[\"timepoint\"] == tp\n", " if tp_mask.sum() < 10:\n", " print(f\"\\tExcluding timepoint {tp} in experimentID: {experiment_id}, nucleusID: {nucleus_id}, homolog: {homolog} because it has less than 10 points.\")\n", " objin.atomList = objin.atomList.loc[~tp_mask].copy()\n", " continue\n", "\n", " map_tp = TransformBlurrer().SR_gaussian_blur(objin.get_Time_segment(tp), prec_mean_dataset, sigma_coeff=1., mode=\"unit\")\n", " rog_tp = getSegmentFeatures(objin.get_Time_segment(tp), map_tp, features=[\"radius_of_gyration\"])[\"radius_of_gyration\"]\n", " list_of_rog.append(rog_tp)\n", " \n", " # Append the object to the list\n", " obj_list.append(objin)\n", "\n", " # Nice print to tell the user the number of objects created.\n", " print(f\"\\nTotal number of objects created: {len(obj_list)}\")\n", "\n", " # Clean up memory by deleting some of the variables no longer needed\n", " del count, filein, stem, metadata_CIMA, match, objin\n", "\n", "del csv_files, metadata_keys\n", "del bad_flags\n", "del experiment_id, nucleus_id, homolog, full_flags, remove_mask, tp, removed_tps, tp_mask, map_tp, rog_tp\n", "if 'segments_to_remove_CCC' in locals():\n", " del segments_to_remove_CCC" ] }, { "cell_type": "markdown", "id": "c423346f", "metadata": {}, "source": [ "### Checking the information file" ] }, { "cell_type": "markdown", "id": "c7d23182", "metadata": {}, "source": [ "This cells makes an adjustment in the info_df. \n", "\n", "It checks if the column of the info_df that we will use as the link between this data frame and our walks has the same timepoints. This happens because most programs start with timepoint 0, while most information files start at timepoint 1. \n", "\n", "This will create a new column in the dataframe that is called 'timepoint'. This column will be modified so it has the same range as the timepoint column from the csv files.\n", "\n", "[Back to the section index](#exporting-the-data-with-cima)" ] }, { "cell_type": "code", "execution_count": 6, "id": "c8d9643c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "List of timepoints found across all objects: [5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20]\n", "List of timepoints in the information file: [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21]\n", "\n", "Note: The column for the information file that has the timepoint is offset by 1 compared to the objects, adjusting accordingly.\n" ] } ], "source": [ "list_of_timepoints = sorted({int(tp) for obj in obj_list for tp in obj.atomList.timepoint.unique()})\n", "info_of_timepoints = list(map(int, info_df[info_file_dict[\"column_round\"]].tolist()))\n", "\n", "print(f'List of timepoints found across all objects: {list_of_timepoints}')\n", "print(f'List of timepoints in the information file: {info_of_timepoints}\\n')\n", "\n", "if list_of_timepoints == info_of_timepoints:\n", " print('The timepoints found in the objects match those in the information file.')\n", " info_df[\"timepoint\"] = info_df[info_file_dict[\"column_round\"]]\n", "elif set(list_of_timepoints).issubset(info_of_timepoints):\n", " print('Note: The timepoints found in the objects are a subset of those in the information file. Not all timepoints are present.')\n", " info_df[\"timepoint\"] = info_df[info_file_dict[\"column_round\"]]\n", "elif list_of_timepoints == [x - 1 for x in info_of_timepoints]:\n", " print('Note: The column for the information file that has the timepoint is offset by 1 compared to the objects, adjusting accordingly.')\n", " info_df[\"timepoint\"] = info_df[info_file_dict[\"column_round\"]] - 1\n", "elif set(list_of_timepoints).issubset({x - 1 for x in info_of_timepoints}):\n", " print('Note: The timepoints found in the objects are a subset of those in the information file, which are offset by 1 compared to the objects. Adjusting accordingly.')\n", " info_df[\"timepoint\"] = info_df[info_file_dict[\"column_round\"]] - 1\n", "else:\n", " print('Warning: The timepoints found in the objects do not match those in the information file.')\n", "\n", "if info_file_dict[\"column_size\"] == \"\":\n", " print(\"Calculating size column from start and end positions...\")\n", " column_size = \"size\"\n", " info_file_dict[\"column_size\"] = column_size\n", " info_df[column_size] = info_df[info_file_dict[\"column_end_pos\"]] - info_df[info_file_dict[\"column_start_pos\"]]\n", "\n", "if info_file_dict[\"column_name\"] == \"\":\n", " print(\"Setting name column from round numbers...\")\n", " info_file_dict[\"column_name\"] = \"name\"\n", " info_df[\"name\"] = [f\"Step{i}\" for i in range(1, info_df.shape[0]+1)]\n", "\n", "tp_names = info_df.set_index(\"timepoint\")[info_file_dict[\"column_name\"]].to_dict()\n", " \n", "del list_of_timepoints, info_of_timepoints" ] }, { "cell_type": "markdown", "id": "9f9ca642", "metadata": {}, "source": [ "### Creating a color palette and the results folders for the tsv and plot files" ] }, { "cell_type": "markdown", "id": "613a3011", "metadata": {}, "source": [ "Here we create a color palette automatically based on the different experiment ID found across the files. Experiment IDs are usually the date of the experiment. This allows to easily check for a possible batch effect.\n", "\n", "We also create the folders were to store the results.\n", "
  • 5_comparison_with_orthogonal_methods/tsvs: a subfolder using the suffix name will be created, where the different tsv files will be stored. \n", "\n", "
  • 5_comparison_with_orthogonal_methods/plots: a subfolder using the suffix name will be created, where the different plots (in pdf format) will be stored.\n", "\n", "[Back to the section index](#exporting-the-data-with-cima)" ] }, { "cell_type": "code", "execution_count": 7, "id": "f342977e", "metadata": {}, "outputs": [], "source": [ "# Define the color palette for experiments. Use the date or the experimentID (date) as the key.\n", "color_palette = {exp_date: color for exp_date, color in zip(\n", " # We get a set of unique dates from the metadata of the objects\n", " set([file.metadata[\"experimentID\"] for file in obj_list]),\n", " # We assign a color from the tab10 palette for each unique date\n", " sns.color_palette(\"tab10\", n_colors=len(set([file.metadata[\"experimentID\"] for file in obj_list]))) \n", ")}\n", "\n", "# This palette is fixed for the current experiments used in the tutorial, which aim to reproduce the figures in the CIMA paper.\n", "color_palette = {'2018-01-11':\"#a6cee3\" ,'2018-06-28':'#1f78b4', '2018-07-10':'#b2df8a', '2018-09-04':'#33a02c'}\n", "\n", "# Create the folders to save the results. If the folders already exist, do not raise an error.\n", "tsv_folder = Path(work_folder, \"5_comparison_with_orthogonal_methods\", \"tsvs\", file_suffix)\n", "tsv_folder.mkdir(parents=True, exist_ok=True)\n", "\n", "plots_folder = Path(work_folder, \"5_comparison_with_orthogonal_methods\", \"plots\", file_suffix)\n", "plots_folder.mkdir(parents=True, exist_ok=True)" ] }, { "cell_type": "markdown", "id": "96ec1fb1", "metadata": {}, "source": [ "## Proximity frequency ensemble matrix" ] }, { "cell_type": "markdown", "id": "22480fcc", "metadata": {}, "source": [ "Content:\n", "\n", "- [Loading the distance data and mean distance matrix calculation](#loading-the-distance-data-and-calculating-the-mean-distance-matrix-from-all-the-walks)\n", "- [Frequency map generation](#frequency-map-generated-from-the-different-walks)\n", "- [Loading of the HiC data](#loading-the-hic-data-we-will-use-for-comparison)\n", "- [Comparison between HiC and microscopy ensembl](#compare-the-hic-and-proximity-frequency-ensembl-matrices)\n", "- [Correlation between the HiC and the microscopy ensembl](#correlation-between-the-log10normalized-counts-and-the-coms-mean-distance-matrix)\n", "- [Aggregation of the data for plotting](#aggregation-of-the-data-in-a-common-dataframe-for-ease-of-use)\n", "\n", "[Back to the general index](#comparison-with-orthogonal-methods)" ] }, { "cell_type": "markdown", "id": "5fd2b994", "metadata": {}, "source": [ "### Loading the distance data and calculating the mean distance matrix from all the walks" ] }, { "cell_type": "markdown", "id": "82b2af65", "metadata": {}, "source": [ "[Back to section index](#proximity-frequency-ensemble-matrix)" ] }, { "cell_type": "code", "execution_count": 8, "id": "7b5df44a", "metadata": {}, "outputs": [], "source": [ "distance_folder = Path(work_folder, \"4_distance_extraction\", \"tsvs\", file_suffix)\n", "distance_file = Path(distance_folder, f'spatial_features_{prec_mean_dataset}{(\"_\" + file_suffix) if file_suffix != \"\" else \"\"}.tsv')\n", "\n", "dataframe_spatialfeatures = pd.read_table(distance_file, sep=\"\\t\")\n", "\n", "if \"flag\" not in dataframe_spatialfeatures.columns:\n", " dataframe_spatialfeatures[\"flag\"] = dataframe_spatialfeatures[[\"experimentID\", \"nucleusID\", \"homolog\"]].astype(str).apply(\"_\".join, axis=1)\n", "\n", "if \"flag_seg1\" not in dataframe_spatialfeatures.columns:\n", " dataframe_spatialfeatures[\"flag_seg1\"] = dataframe_spatialfeatures[[\"experimentID\", \"nucleusID\", \"homolog\", \"segment1_timepoint\"]].astype(str).apply(\"_\".join, axis=1)\n", "\n", "if \"flag_seg2\" not in dataframe_spatialfeatures.columns:\n", " dataframe_spatialfeatures[\"flag_seg2\"] = dataframe_spatialfeatures[[\"experimentID\", \"nucleusID\", \"homolog\", \"segment2_timepoint\"]].astype(str).apply(\"_\".join, axis=1)\n", "\n", "dataframe_spatialfeatures = dataframe_spatialfeatures.astype(get_dtype_dict(dataframe_spatialfeatures.columns.to_list(), dtype_dict))" ] }, { "cell_type": "code", "execution_count": 9, "id": "74c2f1ce", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Working on feature: coms_distance...\n", "Working on feature: coms_distance... Done!\n", "Working on feature: surface_distance...\n", "Working on feature: surface_distance... Done!\n", "Working on feature: entanglement...\n", "Working on feature: entanglement... Done!\n" ] } ], "source": [ "mean_combined_mats = {}\n", "std_combined_mats = {}\n", "collection_combined_mats = {}\n", "\n", "for feat in ['coms_distance', 'surface_distance', 'entanglement']:\n", "\n", " print(f\"Working on feature: {feat}...\")\n", " \n", " combined_ent_mat0=[]\n", " \n", " for f in dataframe_spatialfeatures.flag.unique().tolist():\n", "\n", " # print(f\"\\tProcessing flag: {f}...\")\n", "\n", " mat = convertToMatrix(pairs_features_df = dataframe_spatialfeatures[dataframe_spatialfeatures.flag == f],\n", " value = feat,\n", " cluss = np.array(info_df.timepoint.tolist()))\n", "\n", " mat = mat.astype(np.float64)\n", " combined_ent_mat0.append(mat)\n", " \n", " mean_combined_mats[feat] = np.nanmean(combined_ent_mat0, axis=0)\n", " std_combined_mats[feat] = np.nanstd(combined_ent_mat0, axis=0)\n", " collection_combined_mats[feat] = (np.invert(np.isnan(combined_ent_mat0))).sum(axis=0)\n", "\n", " # Take out rows/columns that contain 1 or more NaN values\n", " mean_combined_mats[feat] = mean_combined_mats[feat][~np.isnan(mean_combined_mats[feat]).any(axis=1)][:, ~np.isnan(mean_combined_mats[feat]).any(axis=0)]\n", " \n", " std_combined_mats[feat] = std_combined_mats[feat][~np.isnan(std_combined_mats[feat]).any(axis=1)][:, ~np.isnan(std_combined_mats[feat]).any(axis=0)]\n", " \n", " print(f\"Working on feature: {feat}... Done!\")\n", "\n", "del feat, combined_ent_mat0, f, mat" ] }, { "cell_type": "markdown", "id": "af0565d7", "metadata": {}, "source": [ "### Frequency map generated from the different walks" ] }, { "cell_type": "markdown", "id": "0c91b316", "metadata": {}, "source": [ "Calculate the proximity frequency matrix for the walk-ensemble at diffrent distance cutoffs. This cutoffs should be chosen based on the radius of gyration across the different samples. \n", "The proximity frequencies is calculated as the number of pairwise segments in which the distance between them is lower than a given cutoff normalized by the number of collected segments. \n", "\n", "[Back to section index](#proximity-frequency-ensemble-matrix)" ] }, { "cell_type": "code", "execution_count": 10, "id": "0e9f131d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Working on cut-off: 200\n" ] }, { "data": { "image/png": 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ywurVqzF+/HgMHDgQ06dPh52dHX755Rf8/PPPckI8Y8YMvPXWW/Dz88PTTz+Nv/76C2vWrME999yDkpISOZ6ZmRlcXFywadMm9O7dGx07dkT//v3Rv39/LF26FGPGjIG3tzeefvppeRm1lZXVLYctiVqsJlv/RNRA9X2Q3c3LRKsdPnxYPPLII6JTp05CpVIJR0dH8eijj+os8xVCiP/+979i0KBBwsTEpMEPsruVupZR/+c//xF2dnbCzMxM+Pj4iP3799dYZnvjw/rCw8NF165dhZmZmRg7dqzO0u+6/PPPP2L69Omic+fOQq1WCz8/P/HLL78IR0fHGg8wW7t2rdBoNPIS8lstqXZ0dKxziXttS47T09PF0KFDhampqejSpYt4/vnndZaFV7t8+bJ46aWXhK2trVCpVGLw4MFix44dt71PIf73ILub3bxEWd/lxdXfCwUFBbdtww8//CB8fX2FhYWF6NChg3B1dRUrV67UOeeTTz4RGo1GmJiYiIEDB4qdO3fWaKMQQuzbt0/+vsRNS6q//fZb4ePjI8zMzISlpaUYP368zoPsGnKfRM2VJIQBZqARtRHz58+HVqs1yMTNxkhLS8PIkSORnJyMgICAJm0LEVFT4BwYIiIianGYwBAREVGLwwSGiIiIWhwmMER6mD9/fpPPfwGAESNGQAjB+S9E1OS+//57jB8/Ht27d4ckSUhJSbntNWlpaXB3d4dKpYKzszMSEhL0rpcJDBERETXYpUuXcO+992LVqlX1Ov/06dMYO3YsRo4ciaysLLz44osICQnR+zlbXIWkMCEE/v33X1hYWBj05W1ERETVDP27pry8vMZrVVQqVa0vVr2RJEnYsmWLzjOfbvbqq6/iq6++wrFjx+R9U6ZMQVFREXbs2FHvNvJBdgr7999/YWVlhelQwwTKJDCrf01VJG41qYvD7U9qzkxMm7oFRK1fxRVl47f0n2NzK0XDG/p3jW10GLRarc6+6OhogzwUcf/+/TVereHn54cXX3xRrzhMYIiIiEhHeHg4wsLCdPbdrvelvi5cuIBu3brp7OvWrRtKSkpw+fLler1hHmACQ0RE1GoYwTCTW+szXNTUmMAQERG1EkaQYNTM51va2toiPz9fZ19+fj4sLS3r3fsCcBUSERER3UHe3t5ITdWdu7l79254e3vrFYcJDBERUSthZKCij9LSUmRlZSErKwvA9WXSWVlZyM3NBXB9Pk1QUJB8/nPPPYfff/8dr7zyCn755Re89957+OyzzzB37ly96uUQEhERUSshSYDRHR5BOnjwIEaOHClvV0/+DQ4ORkJCAvLy8uRkBgDuuusufPXVV5g7dy7efvtt9OzZEx988AH8/Pz0qrfZ98AUFBRg5syZcHBwgEqlgq2tLfz8/LB3714AqPdT/xpi4cKFGDp0KMzNzWFtba1IHURERC1Z9ZPBby7VT9dNSEhAWlpajWsOHz6M8vJynDp1CtOmTdO73mbfA+Pv74+KigokJiZCo9EgPz8fqampKCwsVLzuiooKBAYGwtvbG+vWrVO8PiIiosYw1CqklqBZ32dRURHS09OxePFijBw5Eo6OjvD09ER4eDgmTJgAJycnAMDkyZMhSZK8DQBbt26Fu7s7TE1NodFooNVqce3aNfm4JElYvXo1xowZAzMzM2g0GmzevFmnfq1Wi7lz52LAgAF34naJiIgaxUiSDFJagmadwKjVaqjVaqSkpNR4pDEAHDhwAACwfv165OXlydvp6ekICgrCnDlzkJOTg/j4eCQkJGDhwoU610dGRsLf3x/Z2dmYOnUqpkyZguPHjyt/Y0RERNQozTqBad++PRISEpCYmAhra2v4+PggIiICR44cAQB06dIFAGBtbQ1bW1t5W6vVYt68eQgODoZGo4Gvry9iY2MRHx+vEz8wMBAhISHo3bs3YmNj4eHhgZUrVzaqzeXl5SgpKdEpREREd0JTrEJqKs2+nf7+/jh//jy2bduG0aNHy6/gvtWrt7OzsxETEyP34KjVaoSGhiIvLw9lZWXyeTevOff29m50D0xcXBysrKzkYm9v36h4RERE9WUkGaa0BM0+gQEAU1NT+Pr6IjIyEvv27cO0adMQHR1d5/mlpaXQarXyuvSsrCwcPXoUJ0+ehKmpsi8ECw8PR3FxsVzOnj2raH1ERERtUbNfhVQbFxcXeem0sbExKisrdY67u7vjxIkTcHZ2vmWcjIwMnYfrZGRkwM3NrVFtawnvjyAiotapJQ0BNVazTmAKCwsRGBiIGTNmwNXVFRYWFjh48CCWLFmCiRMnAgCcnJyQmpoKHx8fqFQq2NjYICoqCuPGjYODgwMCAgJgZGSE7OxsHDt2DAsWLJDjJycnw8PDA8OGDcOGDRuQmZmps1w6NzcXFy9eRG5uLiorK+WnDDo7O0OtVt/Rz4KIiOh2JEmC1EJWETVWs05g1Go1vLy8sHz5cpw6dQpXr16Fvb09QkNDERERAQBYtmwZwsLCsHbtWvTo0QNnzpyBn58ftm/fjpiYGCxevBjGxsbo27cvQkJCdOJrtVokJSVh1qxZsLOzw8aNG+Hi4iIfj4qKQmJiorxd3TuzZ88ejBgxQvkPgIiIiGolCSFEUzeiKUiShC1btmDSpEmK1lNSUgIrKytMhxomUCYrXv1r6u1PagSpi4Oi8RVnouy8JyICUHFF2fgt/efY3ErR8NW/a15ubwWVAXpgYiv+MUCrlNWse2CIiIio/lrSKqLGaitzfYiIiKgVabM9MG105IyIiFoxCW2nZ6LNJjBEREStTUt6l1FjtZVEjYiIiFoR9sAQERG1EnyQHRnc8kPbYKnQw+9m9n5QkbjVVv95QNH4SpNMbJu6CUS3dlXhJcgAYKzwMuSWvsy5leAqJCIiIqJmjD0wRERErURbGkJqK/dJRERErQh7YIiIiFoJI0gwUui1Nc0NExgiIqJWgpN4iYiIiJox9sAQERG1EpzE24wUFBRg5syZcHBwgEqlgq2tLfz8/LB3714AgCRJSElJMXi9Z86cwdNPP4277roLZmZm6NWrF6Kjo1FRUWHwuoiIiAyhegipsaUlaPY9MP7+/qioqEBiYiI0Gg3y8/ORmpqKwsJCRev95ZdfUFVVhfj4eDg7O+PYsWMIDQ3FpUuX8OabbypaNxEREd1as+6BKSoqQnp6OhYvXoyRI0fC0dERnp6eCA8Px4QJE+Dk5AQAmDx5MiRJkrcBYOvWrXB3d4epqSk0Gg20Wi2uXbsmH5ckCatXr8aYMWNgZmYGjUaDzZs3y8dHjx6N9evX46GHHoJGo8GECRPw0ksv4YsvvrhTt09ERKSX62+jlhpdWoJmncCo1Wqo1WqkpKSgvLy8xvEDB64/4n79+vXIy8uTt9PT0xEUFIQ5c+YgJycH8fHxSEhIwMKFC3Wuj4yMhL+/P7KzszF16lRMmTIFx48fr7M9xcXF6NixowHvkIiIyHDa0hBSs05g2rdvj4SEBCQmJsLa2ho+Pj6IiIjAkSNHAABdunQBAFhbW8PW1lbe1mq1mDdvHoKDg6HRaODr64vY2FjEx8frxA8MDERISAh69+6N2NhYeHh4YOXKlbW25bfffsPKlSvx7LPP3rLN5eXlKCkp0SlERERkWM06gQGuz4E5f/48tm3bhtGjRyMtLQ3u7u5ISEio85rs7GzExMTIPThqtRqhoaHIy8tDWVmZfJ63t7fOdd7e3rX2wJw7dw6jR49GYGAgQkNDb9neuLg4WFlZycXe3l6/GyYiImogIwOVlqBFtNPU1BS+vr6IjIzEvn37MG3aNERHR9d5fmlpKbRaLbKysuRy9OhRnDx5Eqam+r0x9fz58xg5ciSGDh2K999//7bnh4eHo7i4WC5nz57Vqz4iIqKGaktDSM1+FVJtXFxc5KXTxsbGqKys1Dnu7u6OEydOwNnZ+ZZxMjIyEBQUpLPt5uYmb587dw4jR47EoEGDsH79ehgZ3T7fU6lUUKlUetwNERER6atZJzCFhYUIDAzEjBkz4OrqCgsLCxw8eBBLlizBxIkTAQBOTk5ITU2Fj48PVCoVbGxsEBUVhXHjxsHBwQEBAQEwMjJCdnY2jh07hgULFsjxk5OT4eHhgWHDhmHDhg3IzMzEunXrAFxPXkaMGAFHR0e8+eabKCgokK+ztbW9sx8EERFRPbSkVUSN1awTGLVaDS8vLyxfvhynTp3C1atXYW9vj9DQUERERAAAli1bhrCwMKxduxY9evTAmTNn4Ofnh+3btyMmJgaLFy+GsbEx+vbti5CQEJ34Wq0WSUlJmDVrFuzs7LBx40a4uLgAAHbv3o3ffvsNv/32G3r27KlznRDiznwAREREemhJQ0CNJYk2+ttYkiRs2bIFkyZNUrSekpISWFlZoejQd7BUqxWpY2bvBxWJW231nwcUja80yYY9ZtTMXb2ifB3G+s3/IwMzt1I0fPXvmpXqjjCTGj+99emSgtuf1MSadQ8MERER1Z/0/0tbwASGiIiolWhLQ0htNoFpoyNnRERErUKbTWCIiIhaG65CIiIiohanLQ0htYgn8RIRERHdiD0wd4jUyR6SpYUisZVe5jyz52BF468+uUfR+LBRNjxRo3GJMxmIhLbTM8EEhoiIqJVoS8uo20qiRkRERK0Ie2CIiIhaCSNJgpHUNvpgmMAQERG1EhxCIiIiImrG2ANDRETUSrAHphkpKCjAzJkz4eDgAJVKBVtbW/j5+WHv3r0Arr9VOiUlRZG6J0yYAAcHB5iamsLOzg5PPfUUzp8/r0hdREREjSUZqLQEzT6B8ff3x+HDh5GYmIhff/0V27Ztw4gRI1BYWKh43SNHjsRnn32GEydO4PPPP8epU6cQEBCgeL1ERER0a806gSkqKkJ6ejoWL16MkSNHwtHREZ6enggPD8eECRPg5OQEAJg8eTIkSZK3AWDr1q1wd3eHqakpNBoNtFotrl27Jh+XJAmrV6/GmDFjYGZmBo1Gg82bN+vUP3fuXAwZMgSOjo4YOnQo5s2bh4yMDFy9evVO3D4REZFeJEkySGkJmnUCo1aroVarkZKSgvLy8hrHDxy4/gTa9evXIy8vT95OT09HUFAQ5syZg5ycHMTHxyMhIQELFy7UuT4yMhL+/v7Izs7G1KlTMWXKFBw/frzWtly8eBEbNmzA0KFDYWxsbOA7JSIiajwOITUT7du3R0JCAhITE2FtbQ0fHx9ERETgyJEjAIAuXboAAKytrWFraytva7VazJs3D8HBwdBoNPD19UVsbCzi4+N14gcGBiIkJAS9e/dGbGwsPDw8sHLlSp1zXn31VXTo0AGdOnVCbm4utm7dess2l5eXo6SkRKcQERGRYTXrBAa4Pgfm/Pnz2LZtG0aPHo20tDS4u7sjISGhzmuys7MRExMj9+Co1WqEhoYiLy8PZWVl8nne3t4613l7e9fogXn55Zdx+PBh7Nq1C+3atUNQUBCEEHXWHRcXBysrK7nY29s37MaJiIj0ZGSg0hK0iGXUpqam8PX1ha+vLyIjIxESEoLo6GhMmzat1vNLS0uh1WrxyCOP1BpLH507d0bnzp3Ru3dv9OvXD/b29sjIyKiR/FQLDw9HWFiYvF1SUsIkhoiI7ghJul7aghaRwNzMxcVFXjptbGyMyspKnePu7u44ceIEnJ2dbxknIyMDQUFBOttubm51nl9VVQUAtc7HqaZSqaBSqW53C0RERNQIzTqBKSwsRGBgIGbMmAFXV1dYWFjg4MGDWLJkCSZOnAgAcHJyQmpqKnx8fKBSqWBjY4OoqCiMGzcODg4OCAgIgJGREbKzs3Hs2DEsWLBAjp+cnAwPDw8MGzYMGzZsQGZmJtatWwcA+PHHH3HgwAEMGzYMNjY2OHXqFCIjI9GrV686e1+IiIiakvT//9cWNOuhLrVaDS8vLyxfvhz3338/+vfvj8jISISGhuLdd98FACxbtgy7d++Gvb293Hvi5+eH7du3Y9euXRg8eDCGDBmC5cuXw9HRUSe+VqtFUlISXF1d8dFHH2Hjxo1wcXEBAJibm+OLL77Agw8+iD59+uDpp5+Gq6sr/vvf/7KHhYiImqW2tApJEreakdqKSZKELVu2YNKkSYrWU1JSAisrKxT/cRKWlhaK1CEuFSkSt9rMnoMVjb/65B5F40vdbz2USESkOHMrRcNX/65JsukKc6nxfRPjC/MM0CplNeshJCIiIqq/ltSD0lhMYIiIiFoJIwBGbSSDabMJTBsdOSMiImoV2mwCQ0RE1Nq0pVVITGCIiIhakbaRvjTzZdREREREtWEPDN2W0sucZ949UtH4q75cqmj8dg9MUTQ+NQNXrygb31i/V5y0SRXKfg3E1bqfsG4IksLLqOV62tCrBNgDQ0RE1Eo05YPsVq1aBScnJ5iamsLLywuZmZm3PH/FihXo06cPzMzMYG9vj7lz5+LKlfonqkxgiIiIqFE2bdqEsLAwREdH49ChQ7j33nvh5+eHv/76q9bzP/30U8ybNw/R0dE4fvw41q1bh02bNiEiIqLedTKBISIiaiWMIBmk6Outt95CaGgopk+fDhcXF6xZswbm5ub48MMPaz1/37598PHxwRNPPAEnJyc89NBDePzxx2/ba6N7r0RERNQqGGoIqby8HCUlJTqlvLz2eUIVFRX46aefMGrUKHmfkZERRo0ahf3799d6zdChQ/HTTz/JCcvvv/+Or7/+Gg8//HC975UJDBEREemIi4uDlZWVTomLi6v13L///huVlZXo1q2bzv5u3brhwoULtV7zxBNPICYmBsOGDYOxsTF69eqFESNGcAiJiIioLapehdTYEh4ejuLiYp0SHh5usHampaVh0aJFeO+993Do0CF88cUX+OqrrxAbG1vvGM0+gSkoKMDMmTPh4OAAlUoFW1tb+Pn5Ye/evQCuv1U6JSVF0TaUl5dj4MCBkCQJWVlZitZFRETUUIYaQlKpVLC0tNQpKpWq1jo7d+6Mdu3aIT8/X2d/fn4+bG1ta70mMjISTz31FEJCQjBgwABMnjwZixYtQlxcHKqqqup1r80+gfH398fhw4eRmJiIX3/9Fdu2bcOIESNQWFh4x9rwyiuvoHv37nesPiIiopbCxMQEgwYNQmpqqryvqqoKqamp8Pb2rvWasrIyGBnppiDt2rUDUP93FTbrBKaoqAjp6elYvHgxRo4cCUdHR3h6eiI8PBwTJkyAk5MTAGDy5MmQJEneBoCtW7fC3d0dpqam0Gg00Gq1uHbtmnxckiSsXr0aY8aMgZmZGTQaDTZv3lyjDd988w127dqFN998U+nbJSIiahTJQP/TV1hYGNauXYvExEQcP34cM2fOxKVLlzB9+nQAQFBQkM4Q1Pjx47F69WokJSXh9OnT2L17NyIjIzF+/Hg5kbmdZv0kXrVaDbVajZSUFAwZMqRG99WBAwfQtWtXrF+/HqNHj5ZvOj09HUFBQXjnnXdw33334dSpU3jmmWcAANHR0fL1kZGReOONN/D222/j448/xpQpU3D06FH069cPwPXur9DQUKSkpMDc3PwO3TUREVHDGEnXy5322GOPoaCgAFFRUbhw4QIGDhyIHTt2yBN7c3NzdXpcXn/9dUiShNdffx3nzp1Dly5dMH78eCxcuLDedUqivn01TeTzzz9HaGgoLl++DHd3dwwfPhxTpkyBq6srgOs9KVu2bMGkSZPka0aNGoUHH3xQJ9v75JNP8Morr+D8+fPydc899xxWr14tnzNkyBC4u7vjvffegxACDz/8MHx8fPD666/jzJkzuOuuu3D48GEMHDiwzvaWl5frLDUrKSmBvb09iv84CUtLCwN9KrrEpSJF4soulyoanq8SoGaPrxJoei39VQJdHBSNX1JSAisrK3zd2Q4djBo/uHJ//p8GaJWymvUQEnB9Dsz58+exbds2jB49GmlpaXB3d0dCQkKd12RnZyMmJkbuwVGr1QgNDUVeXh7Kysrk824em/P29sbx48cBACtXrsS///6r96zrm5ee2dvb63U9ERFRQzXlqwTutGafwACAqakpfH19ERkZiX379mHatGk6Q0E3Ky0thVarRVZWllyOHj2KkydPwtS0fn/pfPfdd9i/fz9UKhXat28PZ2dnAICHhweCg4PrvO7mpWdnz57V72aJiIgaqC0lMM16DkxdXFxc5KXTxsbGqKys1Dnu7u6OEydOyElHXTIyMhAUFKSz7ebmBgB45513sGDBAvnY+fPn4efnh02bNsHLy6vOmCqVqs6lZkRERGQYzTqBKSwsRGBgIGbMmAFXV1dYWFjg4MGDWLJkCSZOnAgAcHJyQmpqKnx8fKBSqWBjY4OoqCiMGzcODg4OCAgIgJGREbKzs3Hs2DGdpCQ5ORkeHh4YNmwYNmzYgMzMTKxbtw4A4OCgO16pVqsBAL169ULPnj3v0CdARERUfw1dRdQSNeshJLVaDS8vLyxfvhz3338/+vfvj8jISISGhuLdd98FACxbtgy7d++Gvb293Hvi5+eH7du3Y9euXRg8eDCGDBmC5cuXw9HRUSe+VqtFUlISXF1d8dFHH2Hjxo1wcXG54/dJRERkCIZ6Em9L0OxXISmlttVLSqieGc5VSHXjKiRq9rgKqelxFdItVf+u2dWlu0FWIQ290PznbzbrISQiIiKqPyM086EVA2ICQ0RE1Eq0pFVEjdVmE5g2OnJGRETUKrTZBIaIiKjVkSRILWUWbiMxgSEiImol2tIQUluZ60NEREStCHtg7hQTFWCizFJJycRWkbgyG2XDK73M+fnxLysaf/VfoxWNDwBSB2tF4yu9FF9S6HtfpvQyZC5zbnoKfw8p/j16h7SlHhgmMERERK2E1IbmwHAIiYiIiFoc9sAQERG1EkbS9dIWsAeGiIiIWhz2wBAREbUSkpEEqY10wTCBISIiaiVa0tukG6vZDyEVFBRg5syZcHBwgEqlgq2tLfz8/LB3714A12dcp6SkKFK3k5OTPKO7urzxxhuK1EVERET11+x7YPz9/VFRUYHExERoNBrk5+cjNTUVhYWFd6T+mJgYhIaGytsWFhZ3pF4iIiJ9sQemmSgqKkJ6ejoWL16MkSNHwtHREZ6enggPD8eECRPg5OQEAJg8eTIkSZK3AWDr1q1wd3eHqakpNBoNtFotrl27Jh+XJAmrV6/GmDFjYGZmBo1Gg82bN9dog4WFBWxtbeXSoUMHpW+biIioQW4eNWhoaQmadQKjVquhVquRkpKC8vLyGscPHDgAAFi/fj3y8vLk7fT0dAQFBWHOnDnIyclBfHw8EhISsHDhQp3rIyMj4e/vj+zsbEydOhVTpkzB8ePHdc5544030KlTJ7i5uWHp0qU6SRARERE1jWadwLRv3x4JCQlITEyEtbU1fHx8EBERgSNHjgAAunTpAgCwtraGra2tvK3VajFv3jwEBwdDo9HA19cXsbGxiI+P14kfGBiIkJAQ9O7dG7GxsfDw8MDKlSvl47Nnz0ZSUhL27NmDZ599FosWLcIrr7xyyzaXl5ejpKREpxAREd0J1UNIjS0tQYuYAzN27Fikp6cjIyMD33zzDZYsWYIPPvgA06ZNq/Wa7Oxs7N27V6fHpbKyEleuXEFZWRnMzc0BAN7e3jrXeXt7IysrS94OCwuT/9vV1RUmJiZ49tlnERcXB5VKVWvdcXFx0Gq1DbxbIiKihmtJQ0CN1ax7YKqZmprC19cXkZGR2LdvH6ZNm4bo6Og6zy8tLYVWq0VWVpZcjh49ipMnT8LUtOEv7PLy8sK1a9dw5syZOs8JDw9HcXGxXM6ePdvg+oiIiKh2zb4HpjYuLi7y0mljY2NUVlbqHHd3d8eJEyfg7Ox8yzgZGRkICgrS2XZzc6vz/KysLBgZGaFr1651nqNSqersnSEiIlJSSxoCaqxmncAUFhYiMDAQM2bMgKurKywsLHDw4EEsWbIEEydOBHD9WS2pqanw8fGBSqWCjY0NoqKiMG7cODg4OCAgIABGRkbIzs7GsWPHsGDBAjl+cnIyPDw8MGzYMGzYsAGZmZlYt24dAGD//v348ccfMXLkSFhYWGD//v2YO3cunnzySdjY2DTJ50FERHQrRpIEozaSwTTrBEatVsPLywvLly/HqVOncPXqVdjb2yM0NBQREREAgGXLliEsLAxr165Fjx49cObMGfj5+WH79u2IiYnB4sWLYWxsjL59+yIkJEQnvlarRVJSEmbNmgU7Ozts3LgRLi4uAK73pCQlJWH+/PkoLy/HXXfdhblz5+rMiyEiIqKmIQkhRFM3oilIkoQtW7Zg0qRJitZTUlICKysrFOflwtLSUtG6WqrK75IUjf/8+JcVjb/6r6OKxgcAqYO1ovHFpSJF40smDZ97Vi/GCscnaixzK0XDV/+uOahxgtqo8dNb+5w8ZYBWKatZ98AQERFR/UngKiQiIiKiZqvN9sC00ZEzIiJqxSSj66UtaLMJDBERUavDB9kRERERNV/sgSEiImol+CA7ojuo3QNTFI2/+q/Risaf2XWAovEBYNWXSxWNLzn2UTZ+r7qfcE3UHIhLxYrGlxReRi3XI4FDSERERETNFXtgiIiIWgkOIREREVGL05behcQhJCIiImpx2ANDRETUSnAIiYiIiFociQ+yaz4KCgowc+ZMODg4QKVSwdbWFn5+fti7dy+A61+slJQUxer/6quv4OXlBTMzM9jY2Cj+9moiIiK6vWbfA+Pv74+KigokJiZCo9EgPz8fqampKCwsVLzuzz//HKGhoVi0aBEeeOABXLt2DceOHVO8XiIioobgEFIzUVRUhPT0dKSlpWH48OEAAEdHR3h6egIAnJycAACTJ0+Wj505cwYAsHXrVmi1WuTk5KB79+4IDg7Ga6+9hvbtr9+yJEl47733sG3bNqSlpcHOzg5LlixBQEAAAODatWuYM2cOli5diqefflpuk4uLy524dSIiIr21pQSmWQ8hqdVqqNVqpKSkoLy8vMbxAwcOAADWr1+PvLw8eTs9PR1BQUGYM2cOcnJyEB8fj4SEBCxcuFDn+sjISPj7+yM7OxtTp07FlClTcPz4cQDAoUOHcO7cORgZGcHNzQ12dnYYM2YMe2CIiIiagWadwLRv3x4JCQlITEyEtbU1fHx8EBERgSNHjgAAunTpAgCwtraGra2tvK3VajFv3jwEBwdDo9HA19cXsbGxiI+P14kfGBiIkJAQ9O7dG7GxsfDw8MDKlSsBAL///jsAYP78+Xj99dexfft22NjYYMSIEbh48WKdbS4vL0dJSYlOISIiuhMkI8kgpSVo1gkMcH0OzPnz57Ft2zaMHj0aaWlpcHd3R0JCQp3XZGdnIyYmRu7BUavVCA0NRV5eHsrKyuTzvL29da7z9vaWe2CqqqoAAK+99hr8/f0xaNAgrF+/HpIkITk5uc664+LiYGVlJRd7e/tG3D0REVH9VQ8hNba0BM0+gQEAU1NT+Pr6IjIyEvv27cO0adMQHR1d5/mlpaXQarXIysqSy9GjR3Hy5EmYmprWq047OzsAunNeVCoVNBoNcnNz67wuPDwcxcXFcjl79mw975KIiIjqq0UkMDdzcXHBpUuXAADGxsaorKzUOe7u7o4TJ07A2dm5RjEy+t8tZ2Rk6FyXkZGBfv36AQAGDRoElUqFEydOyMevXr2KM2fOwNHRsc62qVQqWFpa6hQiIqI7ofpVAo0tLUGzXoVUWFiIwMBAzJgxA66urrCwsMDBgwexZMkSTJw4EcD1lUipqanw8fGBSqWCjY0NoqKiMG7cODg4OCAgIABGRkbIzs7GsWPHsGDBAjl+cnIyPDw8MGzYMGzYsAGZmZlYt24dAMDS0hLPPfccoqOjYW9vD0dHRyxduhTA9bkzREREzU1LGgJqrGadwKjVanh5eWH58uU4deoUrl69Cnt7e4SGhiIiIgIAsGzZMoSFhWHt2rXo0aMHzpw5Az8/P2zfvh0xMTFYvHgxjI2N0bdvX4SEhOjE12q1SEpKwqxZs2BnZ4eNGzfqDBktXboU7du3x1NPPYXLly/Dy8sL3333HWxsbO7o50BERES6JCGEaOpGNAVJkrBlyxbFn6xbUlICKysrFOflcjipiYhLRYrGn9l1gKLxAWDVl0sVjS859lE0vlEvN0XjEzWWuFSsaHypi4Oi8at/15wa1AcW7do1Ol6XH382QKuU1ax7YIiIiKj+JLSdIaQWOYmXiIiI2rY22wPTRkfOiIioFWtLb6NuswkMERFRq9OGViE1aAjp2rVr+PbbbxEfH49///0XAHD+/HmUlpYatHFEREREtdG7B+aPP/7A6NGjkZubi/Lycvj6+sLCwgKLFy9GeXk51qxZo0Q7iYiI6DY4hHQLc+bMgYeHB7Kzs9GpUyd5/+TJkxEaGmrQxhEZgtTBWtH4Si9xBoDnx7+saPzVv6UpGp+ouZM6WDV1EwxCMrpe2gK9E5j09HTs27cPJiYmOvudnJxw7tw5gzWMiIiIqC56JzBVVVU13j0EAH/++ScsLCwM0igiIiLSX1saQtK7o+mhhx7CihUr5G1JklBaWoro6Gg8/PDDhmwbERER6cNIMkxpAfTugVm2bBn8/Pzg4uKCK1eu4IknnsDJkyfRuXNnbNy4UYk2EhEREenQO4Hp2bMnsrOzkZSUhCNHjqC0tBRPP/00pk6dCjMzMyXaSERERPXRhl5H3aC5yu3bt8eTTz6JJUuW4L333kNISAiTFyIioiZWPQemsaUhVq1aBScnJ5iamsLLywuZmZm3PL+oqAjPP/887OzsoFKp0Lt3b3z99df1rq9BT+I9f/48fvjhB/z111+oqqrSOTZ79uyGhKxTQUEBoqKi8NVXXyE/Px82Nja49957ERUVBR8fH8XeKp2WloaRI0fWeiwzMxODBw82aH1EREQt1aZNmxAWFoY1a9bAy8sLK1asgJ+fH06cOIGuXbvWOL+iogK+vr7o2rUrNm/ejB49euCPP/6AtbV1vevUO4FJSEjAs88+CxMTE3Tq1EknU5MkyeAJjL+/PyoqKpCYmAiNRoP8/HykpqaisLDQoPXcbOjQocjLy9PZFxkZidTUVHh4eChaNxERUYM00STct956C6GhoZg+fToAYM2aNfjqq6/w4YcfYt68eTXO//DDD3Hx4kXs27cPxsbGAK4/jkUfeg8hRUZGIioqCsXFxThz5gxOnz4tl99//13fcLdUVFSE9PR0LF68GCNHjoSjoyM8PT0RHh6OCRMmyDc7efJkSJKkc/Nbt26Fu7s7TE1NodFooNVqce3aNfm4JElYvXo1xowZAzMzM2g0GmzevFk+bmJiAltbW7l06tQJW7duxfTp09vMEjUiImphqufANLKUl5ejpKREp5SXl9daZUVFBX766SeMGjVK3mdkZIRRo0Zh//79tV6zbds2eHt74/nnn0e3bt3Qv39/LFq0qNbHtNRF7wSmrKwMU6ZMgZGR8o/6U6vVUKvVSElJqfWDO3DgAABg/fr1yMvLk7fT09MRFBSEOXPmICcnB/Hx8UhISMDChQt1ro+MjIS/vz+ys7MxdepUTJkyBcePH6+1Ldu2bUNhYaGcXRIREbVWcXFxsLKy0ilxcXG1nvv333+jsrIS3bp109nfrVs3XLhwodZrfv/9d2zevBmVlZX4+uuvERkZiWXLlmHBggX1bqPeWcjTTz+N5ORkfS9rkPbt2yMhIQGJiYmwtraGj48PIiIicOTIEQBAly5dAADW1tawtbWVt7VaLebNm4fg4GBoNBr4+voiNjYW8fHxOvEDAwMREhKC3r17IzY2Fh4eHli5cmWtbVm3bh38/PzQs2fPW7a5tqyViIjoTpCMJIOU8PBwFBcX65Tw8HCDtbOqqgpdu3bF+++/j0GDBuGxxx7Da6+9ptf7FPWeAxMXF4dx48Zhx44dGDBggDx2Ve2tt97SN+Qt+fv7Y+zYsUhPT0dGRga++eYbLFmyBB988AGmTZtW6zXZ2dnYu3evTo9LZWUlrly5grKyMpibmwMAvL29da7z9vZGVlZWjXh//vkndu7cic8+++y27Y2Li4NWq63/DRIRERmKgZZRq1QqqFSqep3buXNntGvXDvn5+Tr78/PzYWtrW+s1dnZ2MDY2Rrt27eR9/fr1w4ULF1BRUVHjdUW10bsHJi4uDjt37kR+fj6OHj2Kw4cPy6W2X/6GYGpqCl9fX0RGRmLfvn2YNm0aoqOj6zy/tLQUWq0WWVlZcjl69ChOnjwJU1NTvetfv349OnXqhAkTJtz23Juz1rNnz+pdHxERUUthYmKCQYMGITU1Vd5XVVWF1NTUGh0F1Xx8fPDbb7/prGT+9ddfYWdnV6/kBWjgk3g//PDDOns/7gQXFxekpKQAAIyNjWtM+nF3d8eJEyfg7Ox8yzgZGRkICgrS2XZzc9M5RwiB9evXIygoqEZvU230yVqJiIgMSZKuDwHdaWFhYQgODoaHhwc8PT2xYsUKXLp0SZ43GhQUhB49esjzaGbOnIl3330Xc+bMwf/93//h5MmTWLRokV4rmfVOYFQqFXx8fPS9rEEKCwsRGBiIGTNmwNXVFRYWFjh48CCWLFmCiRMnAri+7Co1NRU+Pj5QqVSwsbFBVFQUxo0bBwcHBwQEBMDIyAjZ2dk4duyYzgSh5ORkeHh4YNiwYdiwYQMyMzOxbt06nTZ89913OH36NEJCQu7IPRMRETVYEz2J97HHHpOf23bhwgUMHDgQO3bskCf25ubm6iz+sbe3x86dOzF37ly4urqiR48emDNnDl599dV61ykJIYQ+jYyLi0NeXh7eeecdfS5rkPLycsyfPx+7du3CqVOncPXqVdjb2yMwMBAREREwMzPDl19+ibCwMJw5cwY9evTAmTNnAAA7d+5ETEwMDh8+DGNjY/Tt2xchISEIDQ0FcD1LXbVqFVJSUvD999/Dzs4OixcvxqOPPqrThieeeAJ//PEH9u7d26B7KCkpgZWVFYrzcmFpadmoz4Oap8rvkhSv4/nxLysaf/VvaYrGl+x6KRqfqNkzt1I0fPXvmnO+g2Bp3O72F9yG+qsfDdAqZemdwEyePBnfffcdOnXqhHvuuafGsMoXX3xh0AYqRakn+N6MCUzrxwTm9pjAUJt3pxIYv0GwNG7QQ/Z1qL/MMECrlKX3XVpbW+ORRx5Roi1ERETUCI15l1FLo3cCs379eiXaQURERFRvje9naqH0HDkjIiJq/proXUhNoUEJzObNm/HZZ58hNzcXFRUVOscOHTpkkIYRERGRnppoFVJT0PtBdu+88w6mT5+Obt264fDhw/D09ESnTp3w+++/Y8yYMUq0kYiIiEiH3gnMe++9h/fffx8rV66EiYkJXnnlFezevRuzZ89GcXGxEm0kIiKiepCMDFNaAr2HkHJzczF06FAAgJmZGf79918AwFNPPYUhQ4bg3XffNWwLiRpJXCpSNL7k2EfR+IDyy5xnOo9QNP7qPw8oGl+yqf19K0RtDoeQ6mZra4uLFy8CABwcHJCRcX2t+OnTpzkxloiIiO4IvROYBx54ANu2bQMATJ8+HXPnzoWvry8ee+wxTJ482eANJCIiovqRjCSDlJZA7yGk999/X3575PPPP49OnTph3759mDBhAp599lmDN5CIiIjqqQ0NIemdwBgZGem8kGnKlCmYMmWKQRtFREREdCsNeg5MUVERMjMz8ddff8m9MdWCgoIM0jAiIiLSEx9kV7cvv/wSU6dORWlpKSwtLXXeuSBJEhMYIiIiUpzek3j/85//YMaMGSgtLUVRURH++ecfuVSvTiIiIqI7r/pljo0tLYHeCcy5c+cwe/ZsmJubK9GeGgoKCjBz5kw4ODhApVLB1tYWfn5+2Lt3L4DrX6yUlBRF6v71118xceJEdO7cGZaWlhg2bBj27NmjSF1ERESNVj2E1NjSAuidwPj5+eHgwYNKtKVW/v7+OHz4MBITE/Hrr79i27ZtGDFiBAoLCxWve9y4cbh27Rq+++47/PTTT7j33nsxbtw4XLhwQfG6iYiIqG56z4EZO3YsXn75ZeTk5GDAgAEwNjbWOT5hwgSDNa6oqAjp6elIS0vD8OHDAQCOjo7w9PQEADg5OQGA/PwZR0dHnDlzBgCwdetWaLVa5OTkoHv37ggODsZrr72G9u2v37IkSXjvvfewbds2pKWlwc7ODkuWLEFAQAAA4O+//8bJkyexbt06uLq6AgDeeOMNvPfeezh27BhsbfnkTyIiam64jLpOoaGhAICYmJgaxyRJQmVlZeNb9f+p1Wqo1WqkpKRgyJAhUKlUOscPHDiArl27Yv369Rg9ejTatWsHAEhPT0dQUBDeeecd3HfffTh16hSeeeYZAEB0dLR8fWRkJN544w28/fbb+PjjjzFlyhQcPXoU/fr1Q6dOndCnTx989NFHcHd3h0qlQnx8PLp27YpBgwYZ7B6JiIgMpSXNYWksvYeQqqqq6iyGTF4AoH379khISEBiYiKsra3h4+ODiIgIHDlyBADQpUsXAIC1tTVsbW3lba1Wi3nz5iE4OBgajQa+vr6IjY1FfHy8TvzAwECEhISgd+/eiI2NhYeHB1auXAng+jfBt99+i8OHD8PCwgKmpqZ46623sGPHDtjY2NTZ5vLycpSUlOgUIiIiMqxm/85Jf39/nD9/Htu2bcPo0aORlpYGd3d3JCQk1HlNdnY2YmJi5B4ctVqN0NBQ5OXloaysTD7P29tb5zpvb28cP34cACCEwPPPP4+uXbsiPT0dmZmZmDRpEsaPH4+8vLw6646Li4OVlZVc7O3tG/cBEBER1Rcn8TYvpqam8PX1RWRkJPbt24dp06bpDAXdrLS0FFqtFllZWXI5evQoTp48CVNT03rV+d1332H79u1ISkqCj48P3N3d8d5778HMzAyJiYl1XhceHo7i4mK5nD17Vu/7JSIiaoi2tIy6QU/ibWouLi7y0mljY+MaQ1fu7u44ceIEnJ2dbxknIyND58F7GRkZcHNzAwC5p+bG1yZUb9/89OEbqVSqGnN1iIiIyLCadQJTWFiIwMBAzJgxA66urrCwsMDBgwexZMkSTJw4EcD1lUipqanw8fGBSqWCjY0NoqKiMG7cODg4OCAgIABGRkbIzs7GsWPHsGDBAjl+cnIyPDw8MGzYMGzYsAGZmZlYt24dgOvDSTY2NggODkZUVBTMzMywdu1anD59GmPHjm2Sz4OIiOiWWtAQUGM16yEktVoNLy8vLF++HPfffz/69++PyMhIhIaG4t133wUALFu2DLt374a9vb3ce+Ln54ft27dj165dGDx4MIYMGYLly5fD0dFRJ75Wq0VSUhJcXV3x0UcfYePGjXBxcQEAdO7cGTt27EBpaSkeeOABeHh44IcffsDWrVtx77333tkPgoiIqD6q30bd2NICSEIIoc8F7dq1Q15eHrp27aqzv7CwEF27djX4SiSlSJKELVu2YNKkSYrWU1JSAisrKxTn5cLS0lLRuqh24lKRsvEvnFY0PgBI5sp+78x0HqFo/NV/HlA0vmTD5zJRM2dupWj46t81BU89AEuTxg+umHyw0wCtUpbed1lXvlNeXg4TE5NGN4iIiIgaRjKSILWRIaR6JzDvvPMOgOs9Fx988AHUarV8rLKyEt9//z369u1r+BYSERFR/bSgIaDGqncCs3z5cgDXe2DWrFkjP/UWAExMTODk5IQ1a9YYvoUK0XPkjIiIiJqReicwp09fH+cfOXIkvvjii1s+jZaIiIiagBHazCokvefA7NmzR4l2EBERUSO1pAfRNZbeCUxlZSUSEhKQmpqKv/76q8ZD3b777juDNY6IiIioNnonMHPmzEFCQgLGjh2L/v37t5lMj1ouyaR+r49ocPxeborGvxOUXuY8s+dgReOv/uuoovFR+o+y8dXKD8lLHawVr4OagTb0IDu9E5ikpCR89tlnePjhh5VoDxERETVUG1qFpPeTeE1MTG77jiEiIiIiJemdwPznP//B22+/zWXIREREzU0bepWA3kNIP/zwA/bs2YNvvvkG99xzD4yNjXWOf/HFFwZrHBEREemj5SQgjaV3AmNtbY3Jkycr0RYiIiKietE7gVm/fr0S7SAiIqLGMjK6XtqABt3ltWvX8O233yI+Ph7//vsvAOD8+fMoLS01aOMAoKCgADNnzoSDgwNUKhVsbW3h5+eHvXv3Arj+0J6UlBSD1wsAhw4dgq+vL6ytrdGpUyc888wzitwjERGRQbShOTB6JzB//PEHBgwYgIkTJ+L5559HQUEBAGDx4sV46aWXDN5Af39/HD58GImJifj111+xbds2jBgxAoWFhQav60bnz5/HqFGj4OzsjB9//BE7duzAzz//jGnTpilaLxEREd2e3gnMnDlz4OHhgX/++QdmZmby/smTJyM1NdWgjSsqKkJ6ejoWL16MkSNHwtHREZ6enggPD8eECRPg5OQk1y1JkrwNAFu3boW7uztMTU2h0Wig1Wpx7do1+bgkSVi9ejXGjBkDMzMzaDQabN68WT6+fft2GBsbY9WqVejTpw8GDx6MNWvW4PPPP8dvv/1m0PskIiIyCPbA1C09PR2vv/46TExMdPY7OTnh3LlzBmsYAKjVaqjVaqSkpKC8vLzG8QMHrj89dP369cjLy5O309PTERQUhDlz5iAnJwfx8fFISEjAwoULda6PjIyEv78/srOzMXXqVEyZMgXHjx8HAJSXl8PExARGN4wlVidsP/zwg0Hvk4iIyCCYwNStqqoKlZWVNfb/+eefsLCwMEijqrVv3x4JCQlITEyEtbU1fHx8EBERgSNHjgAAunTpAuD6yihbW1t5W6vVYt68eQgODoZGo4Gvry9iY2MRHx+vEz8wMBAhISHo3bs3YmNj4eHhgZUrVwIAHnjgAVy4cAFLly5FRUUF/vnnH8ybNw8AkJeXV2eby8vLUVJSolOIiIjIsPROYB566CGsWLFC3pYkCaWlpYiOjlbk9QL+/v44f/48tm3bhtGjRyMtLQ3u7u5ISEio85rs7GzExMTIPThqtRqhoaHIy8tDWVmZfJ63t7fOdd7e3nIPzD333IPExEQsW7YM5ubmsLW1xV133YVu3brp9MrcLC4uDlZWVnKxt7dv3AdARERUX9WrkBpbWgC9W7ls2TLs3bsXLi4uuHLlCp544gl5+Gjx4sVKtBGmpqbw9fVFZGQk9u3bh2nTpiE6OrrO80tLS6HVapGVlSWXo0eP4uTJkzA1rf+L/Z544glcuHAB586dQ2FhIebPn4+CggJoNJo6rwkPD0dxcbFczp49q9e9EhERNVgbGkLS+zkwPXv2RHZ2NpKSknDkyBGUlpbi6aefxtSpU3Um9SrJxcVFXjptbGxcY0jL3d0dJ06cuO07mzIyMhAUFKSz7eZW883C3bp1AwB8+OGHcjJVF5VKBZVKVd9bISIiogbQO4EBrs9NefLJJw3dlhoKCwsRGBiIGTNmwNXVFRYWFjh48CCWLFmCiRMnArg+eTg1NRU+Pj5QqVSwsbFBVFQUxo0bBwcHBwQEBMDIyAjZ2dk4duwYFixYIMdPTk6Gh4cHhg0bhg0bNiAzMxPr1q2Tj7/77rsYOnQo1Go1du/ejZdffhlvvPEGrK2tFb93IiIivbWgHpTGalACc/78efzwww/466+/UFVVpXNs9uzZBmkYcH0VkpeXF5YvX45Tp07h6tWrsLe3R2hoKCIiIgBcH9IKCwvD2rVr0aNHD5w5cwZ+fn7Yvn07YmJisHjxYhgbG6Nv374ICQnRia/VapGUlIRZs2bBzs4OGzduhIuLi3w8MzMT0dHRKC0tRd++fREfH4+nnnrKYPdHRERkUG0ogZGEnq+VTkhIwLPPPgsTExN06tQJ0g0flCRJ+P333w3eSCVIkoQtW7Zg0qRJitZTUlICKysrFOflwtLSUtG6qA5Xrygb37j+86qaK/HPBUXjz+w5WNH4q/86qmh8lP6jbHy1jbLxAUgdrBWvg27B3ErR8NW/awrn+sNSZXz7C26jfdxGA7RKWXr3wERGRiIqKgrh4eG3XI1DREREd1gLWkXUWHonMGVlZZgyZQqTFyIiouamDQ0h6Z2FPP3000hOTlaiLXeUEELx4SMiIiJSht49MHFxcRg3bhx27NiBAQMGwNhYd6ztrbfeMljjiIiISA8S2kwPTIMSmJ07d6JPnz4AUGMSLxERETWRNjSEpHcCs2zZMnz44YeYNm2aAs0hIiIiuj29ExiVSgUfHx8l2kKkjFawzFlpko2tovGVXuY8s+sAReO/d+wrReNLd2AZteKUflyBXg/8aACT1vHvhGRkBKmNLLLR+y7nzJkjv7GZiIiImhO+C6lOmZmZ+O6777B9+3bcc889NSbxfvHFFwZrHBEREVFt9E5grK2t8cgjjyjRFiIiImqMFtSD0lh6JzDr169Xoh1ERETUWG0ogWkbM32IiIioVdG7B8bNza3W571IkgRTU1M4Oztj2rRpGDlypEEaSERERPXUht6FpPddjh49Gr///js6dOiAkSNHYuTIkVCr1Th16hQGDx6MvLw8jBo1Clu3bq1XvIKCAsycORMODg5QqVSwtbWFn58f9u7dC+B6YpSSkqJvM+tl4cKFGDp0KMzNzWFtbV3rObm5uRg7dizMzc3RtWtXvPzyy7h27Zoi7SEiImoUQ6xAaiFDUHr3wPz999/4z3/+g8jISJ39CxYswB9//IFdu3YhOjoasbGxmDhx4m3j+fv7o6KiAomJidBoNMjPz0dqaioKCwv1bZreKioqEBgYCG9vb6xbt67G8crKSowdOxa2trbYt28f8vLyEBQUBGNjYyxatEjx9hEREVHt9O6B+eyzz/D444/X2D9lyhR89tlnAIDHH38cJ06cuG2soqIipKenY/HixRg5ciQcHR3h6emJ8PBwTJgwAU5OTgCAyZMnQ5IkeRsAtm7dCnd3d5iamkKj0UCr1er0jEiShNWrV2PMmDEwMzODRqPB5s2bderXarWYO3cuBgyo/SFYu3btQk5ODj755BMMHDgQY8aMQWxsLFatWoWKiorb3h8REdEd1YZ6YPROYExNTbFv374a+/ft2wdT0+tPMqyqqpL/+1bUajXUajVSUlJQXl5e4/iBAwcAXF/5lJeXJ2+np6cjKCgIc+bMQU5ODuLj45GQkICFCxfqXB8ZGQl/f39kZ2dj6tSpmDJlCo4fP17ve92/fz8GDBiAbt26yfv8/PxQUlKCn3/+ud5xiIiI7ggmMHX7v//7Pzz33HOYM2cOPvnkE3zyySeYM2cOZs6cidmzZwMAdu7ciYEDB942Vvv27ZGQkIDExERYW1vDx8cHEREROHLkCACgS5cuAK4/e8bW1lbe1mq1mDdvHoKDg6HRaODr64vY2FjEx8frxA8MDERISAh69+6N2NhYeHh46PUU4QsXLugkLwDk7QsXLtR6TXl5OUpKSnQKERFRa7dq1So4OTnB1NQUXl5eyMzMrNd1SUlJkCQJkyZN0qs+vROY119/HWvXrkVmZiZmz56N2bNnIzMzE2vXrsVrr70GAHjuuefw5Zdf1iuev78/zp8/j23btmH06NFIS0uDu7s7EhIS6rwmOzsbMTExcg+OWq1GaGgo8vLyUFZWJp/n7e2tc523t7dePTANERcXBysrK7nY29srWh8REZGsehVSY4ueNm3ahLCwMERHR+PQoUO499574efnh7/++uuW1505cwYvvfQS7rvvPv1vVe8rAEydOhX79+/HxYsXcfHiRezfvx9PPPGEfNzMzKxeQ0jVTE1N4evri8jISOzbtw/Tpk1DdHR0neeXlpZCq9UiKytLLkePHsXJkyf1qvd2bG1tkZ+fr7OvetvWtvaX34WHh6O4uFguZ8+eNVh7iIiIbslAQ0i1jSbUNtWj2ltvvYXQ0FBMnz4dLi4uWLNmDczNzfHhhx/WeU1lZSWmTp0KrVYLjUaj9602KIEpKirCBx98gIiICFy8eBEAcOjQIZw7d64h4WpwcXHBpUuXAADGxsaorKzUOe7u7o4TJ07A2dm5RjG6IXPMyMjQuS4jIwP9+vWrdzu8vb1x9OhRnQxy9+7dsLS0hIuLS63XqFQqWFpa6hQiIqKW5ObRBCsrK8TFxdV6bkVFBX766SeMGjVK3mdkZIRRo0Zh//79ddYRExODrl274umnn25QG/VeRn3kyBGMGjUKVlZWOHPmDEJCQtCxY0d88cUXyM3NxUcffVTvWIWFhQgMDMSMGTPg6uoKCwsLHDx4EEuWLJGXYDs5OSE1NRU+Pj5QqVSwsbFBVFQUxo0bBwcHBwQEBMDIyAjZ2dk4duwYFixYIMdPTk6Gh4cHhg0bhg0bNiAzM1NnuXRubi4uXryI3NxcVFZWIisrCwDg7OwMtVqNhx56CC4uLnjqqaewZMkSXLhwAa+//jqef/55qFQqfT86IiIiZRloEm54eDjCwsJ09tX1e+/vv/9GZWVlrXNGf/nll1qv+eGHH7Bu3Tr5925D6N0DExYWhmnTptUYrnn44Yfx/fff6xVLrVbDy8sLy5cvx/3334/+/fsjMjISoaGhePfddwEAy5Ytw+7du2Fvbw83NzcA11cCbd++Hbt27cLgwYMxZMgQLF++HI6OjjrxtVotkpKS4Orqio8++ggbN27U6TmJioqCm5sboqOjUVpaCjc3N7i5ueHgwYMAgHbt2mH79u1o164dvL298eSTTyIoKAgxMTH6fmxERETKM9AcmNpGEwz1h/u///6Lp556CmvXrkXnzp0bHEcSQgh9LrCyssKhQ4fQq1cvWFhYIDs7GxqNBn/88Qf69OmDK1euNLgxhiRJErZs2aL3rGZDKykpgZWVFYrzcjmcRG2WuFSkaPyZXWt/lpOhvHfsK0XjS10dFI0PAFIHa2UruKrwv/16/aZqABPDzZ+slbmVouGrf9dcXPgsLE1NGh2vXdg79T63oqIC5ubm2Lx5s87v3ODgYBQVFdV4Mn9WVhbc3NzQrl07eV9VVRWA60NPJ06cQK9evW5br949MCqVqtalwb/++qu8zJmIiIiagIQ7/hwYExMTDBo0CKmpqfK+qqoqpKam1lgNDAB9+/bF0aNHdRbiTJgwASNHjkRWVla9V+/qPQdmwoQJiImJkZ+6K0kScnNz8eqrr8Lf31/fcERERGQoTfQgurCwMAQHB8PDwwOenp5YsWIFLl26hOnTpwMAgoKC0KNHD8TFxcHU1BT9+/fXub76fYQ3778VvROYZcuWISAgAF27dsXly5cxfPhwXLhwAd7e3jWehNuU9BwZIyIiogZ67LHHUFBQgKioKFy4cAEDBw7Ejh075Im9ubm5OquEDUHvOTDV9u7di+zsbJSWlsLd3V1n+RT9D+fAEHEOzO1wDkw9cA7MLclzYN6YCUvTxk+2bTdnuQFapSy9e2Cq+fj4wMfHx5BtISIiosaQGvYk3Zao3ne5f/9+bN++XWffRx99hLvuugtdu3bFM888c8un9BEREREZSr17YGJiYjBixAiMGzcOAHD06FE8/fTTmDZtGvr164elS5eie/fumD9/vlJtpdZK6a5nY4W7hun2Sv9RNLzSQzyz+o9VNP6aS63glSP8OWseWtDbpBur3j0wWVlZePDBB+XtpKQkeHl5Ye3atQgLC8M777wjr0wiIiKiJmCgdyG1BPVOYP755x+dxwT/97//xZgxY+TtwYMH88WFREREdEfUO4Hp1q0bTp8+DeD6U/cOHTqEIUOGyMf//fdfGBsbG76FREREVD+SkWFKC1DvVj788MOYN28e0tPTER4eDnNzc9x3333y8SNHjtTr0b9ERESkECPJMKUFqPck3tjYWDzyyCMYPnw41Go1EhMTYWLyv/ctfPjhh3jooYcUaSQRERHRjeqdwHTu3Bnff/89iouLoVardV7CBADJyclQq9UGbyARERHVUwsaAmosve/SysqqRvICAB07dtTpkamPgoICzJw5Ew4ODlCpVLC1tYWfnx/27t0L4Pp7llJSUvRtYr0sXLgQQ4cOhbm5ufwOhpvNnj0bgwYNgkqlwsCBAxVpBxERkcG0oVVIDX4SryH4+/ujoqICiYmJ0Gg0yM/PR2pqKgoLCxWvu6KiAoGBgfD29sa6devqPG/GjBn48ccfceTIEcXbRERERPXTZAlMUVER0tPTkZaWhuHDhwMAHB0d4enpCQBwcnICAEyePFk+dubMGQDA1q1bodVqkZOTg+7duyM4OBivvfYa2re/fjuSJOG9997Dtm3bkJaWBjs7OyxZsgQBAQFy/VqtFgCQkJBQZxvfeecdANd7ipjAEBFRs2fEVwkoTq1WQ61WIyUlpdZXEBw4cAAAsH79euTl5cnb6enpCAoKwpw5c5CTk4P4+HgkJCTUeBN2ZGQk/P39kZ2djalTp2LKlCk4fvy48jdGREREimuyBKZ9+/ZISEhAYmIirK2t4ePjg4iICLmno0uXLgAAa2tr2NrayttarRbz5s1DcHAwNBoNfH19ERsbi/j4eJ34gYGBCAkJQe/evREbGwsPDw+sXLlS8fsqLy9HSUmJTiEiIroj2tAcmCbtZ/L398f58+exbds2jB49GmlpaXB3d7/lsE52djZiYmLkHhy1Wo3Q0FDk5eWhrKxMPs/b21vnOm9v7zvSAxMXFwcrKyu52NvbK14nERERAD7I7k4yNTWFr68vIiMjsW/fPkybNg3R0dF1nl9aWgqtVousrCy5HD16FCdPnoSpadO/TCw8PBzFxcVy4esViIiIDK9JVyHVxsXFRV46bWxsjMrKSp3j7u7uOHHiBJydnW8ZJyMjA0FBQTrbbm5uBm/vzVQqFVQqleL1EBER1SChxQwBNVaTJTCFhYUIDAzEjBkz4OrqCgsLCxw8eBBLlizBxIkTAVxfiZSamgofHx+oVCrY2NggKioK48aNg4ODAwICAmBkZITs7GwcO3YMCxYskOMnJyfDw8MDw4YNw4YNG5CZmamzXDo3NxcXL15Ebm4uKisrkZWVBQBwdnaWH8j322+/obS0FBcuXMDly5flc1xcXPR+5g0REZHi2tAqpCZLYNRqNby8vLB8+XKcOnUKV69ehb29PUJDQxEREQEAWLZsGcLCwrB27Vr06NEDZ86cgZ+fH7Zv346YmBgsXrwYxsbG6Nu3L0JCQnTia7VaJCUlYdasWbCzs8PGjRvh4uIiH4+KikJiYqK8Xd07s2fPHowYMQIAEBISgv/+9781zjl9+rS8zJuIiIjuPEkIIZq6EYYmSRK2bNmCSZMmNXVTUFJSAisrKxTn5cLS0rKpm9M8Xb2ibHzjpp8b1daJ/NPKxi/7V9H4s/qPVTT+mkucK9fqmVspGr76d83FNa/B0qzx/+a1C3rdAK1SVrObA0NEREQN1IJWETVW27hLIiIialVaZQ9MKxwVIyIiuj1JAoy4ComIiIhaEg4hERERETVf7IEhIiJqLVrQu4waiwlMa9DSlyFzmXPrp7ZRNLykcHyllzk/10H5d6at/uuo4nUoSVL634lrFcrGV3gZtYxDSERERETNF3tgiIiIWgsjrkIiIiKilqYNzYHhEBIRERG1OOyBISIiai3a0CReJjBEREStRRuaA9PkaVpBQQFmzpwJBwcHqFQq2Nraws/PD3v37gVw/c3SKSkpitS9cOFCDB06FObm5rC2tq5xPDs7G48//jjs7e1hZmaGfv364e2331akLURERFR/Td4D4+/vj4qKCiQmJkKj0SA/Px+pqakoLCxUvO6KigoEBgbC29sb69atq3H8p59+QteuXfHJJ5/A3t4e+/btwzPPPIN27drhhRdeULx9REREepEkDiHdCUVFRUhPT0daWhqGDx8OAHB0dISnpycAwMnJCQAwefJk+diZM2cAAFu3boVWq0VOTg66d++O4OBgvPbaa2jf/votSZKE9957D9u2bUNaWhrs7OywZMkSBAQEyPVrtVoAQEJCQq3tmzFjhs62RqPB/v378cUXXzCBISKi5oerkO4MtVoNtVqNlJQUlJeX1zh+4MABAMD69euRl5cnb6enpyMoKAhz5sxBTk4O4uPjkZCQgIULF+pcHxkZCX9/f2RnZ2Pq1KmYMmUKjh8/3qg2FxcXo2PHjo2KQURERI3TpAlM+/btkZCQgMTERFhbW8PHxwcRERE4cuQIAKBLly4AAGtra9ja2srbWq0W8+bNQ3BwMDQaDXx9fREbG4v4+Hid+IGBgQgJCUHv3r0RGxsLDw8PrFy5ssHt3bdvHzZt2oRnnnmmznPKy8tRUlKiU4iIiO6I6lVIjS0tQJO30t/fH+fPn8e2bdswevRopKWlwd3dvc5hHeD65NqYmBi5B0etViM0NBR5eXkoKyuTz/P29ta5ztvbu8E9MMeOHcPEiRMRHR2Nhx56qM7z4uLiYGVlJRd7e+XfcUJERATgf6uQGltagCZPYADA1NQUvr6+iIyMxL59+zBt2jRER0fXeX5paSm0Wi2ysrLkcvToUZw8eRKmpoZ/4VdOTg4efPBBPPPMM3j99ddveW54eDiKi4vlcvassi+BIyIiaouafBVSbVxcXOSl08bGxqisrNQ57u7ujhMnTsDZ2fmWcTIyMhAUFKSz7ebmpldbfv75ZzzwwAMIDg6uMcemNiqVCiqVSq86iIiIDKIFDQE1VpMmMIWFhQgMDMSMGTPg6uoKCwsLHDx4EEuWLMHEiRMBXF+JlJqaCh8fH6hUKtjY2CAqKgrjxo2Dg4MDAgICYGRkhOzsbBw7dgwLFiyQ4ycnJ8PDwwPDhg3Dhg0bkJmZqbNcOjc3FxcvXkRubi4qKyuRlZUFAHB2doZarcaxY8fwwAMPwM/PD2FhYbhw4QIAoF27dvJ8HCIiomajDa1CatIERq1Ww8vLC8uXL8epU6dw9epV2NvbIzQ0FBEREQCAZcuWISwsDGvXrkWPHj1w5swZ+Pn5Yfv27YiJicHixYthbGyMvn37IiQkRCe+VqtFUlISZs2aBTs7O2zcuBEuLi7y8aioKCQmJsrb1b0ze/bswYgRI7B582YUFBTgk08+wSeffCKfd+NybiIiIrrzJCGEaOpGKEGSJGzZsgWTJk1q0naUlJTAysoKxXm5sLS0VKaSq1eUiVvN2PDziqhtEZeKmroJjSJ1sFY0/nMdlJ/sv/qvo4rXoSRJ6X+HrlUoG7+zsl/j6t81Fze/A0tzs0bHazcm5PYnNbFmOQeGiIiIGqLtDCG1jZk+RERE1Kq02h6YVjoyRkREVDeuQiIiIqIWpw2tQmobaRoRERG1KuyBISIiai2MjK6XNoAJTGvAZc7UzCm9DLmluxNLnGd2HaBo/NX5RxSNLyouKxpfUtsoGv+O4RASERERUfPFHhgiIqLWQpK4ComIiIhaGA4hERERETVf7IEhIiJqLfggOyIiImpxjKTrpQ1o8jStoKAAM2fOhIODA1QqFWxtbeHn54e9e/cCuP5W6ZSUFEXqXrhwIYYOHQpzc3NYW1vXOF5YWIjRo0eje/fuUKlUsLe3xwsvvICSkhJF2kNERET10+Q9MP7+/qioqEBiYiI0Gg3y8/ORmpqKwsJCxeuuqKhAYGAgvL29sW7duhrHjYyMMHHiRCxYsABdunTBb7/9hueffx4XL17Ep59+qnj7iIiI9NKGhpCa9C6LioqQnp6OxYsXY+TIkXB0dISnpyfCw8MxYcIEODk5AQAmT54MSZLkbQDYunUr3N3dYWpqCo1GA61Wi2vXrsnHJUnC6tWrMWbMGJiZmUGj0WDz5s069Wu1WsydOxcDBtT+gCcbGxvMnDkTHh4ecHR0xIMPPohZs2YhPT3d4J8FERFRo1WvQmpsaQGaNIFRq9VQq9VISUlBeXl5jeMHDhwAAKxfvx55eXnydnp6OoKCgjBnzhzk5OQgPj4eCQkJWLhwoc71kZGR8Pf3R3Z2NqZOnYopU6bg+PHjDW7v+fPn8cUXX2D48OENjkFERESN16QJTPv27ZGQkIDExERYW1vDx8cHEREROHLk+iOpu3TpAgCwtraGra2tvK3VajFv3jwEBwdDo9HA19cXsbGxiI+P14kfGBiIkJAQ9O7dG7GxsfDw8MDKlSv1bufjjz8Oc3Nz9OjRA5aWlvjggw/qPLe8vBwlJSU6hYiI6I6oHkJqbGkBmryV/v7+OH/+PLZt24bRo0cjLS0N7u7uSEhIqPOa7OxsxMTEyD04arUaoaGhyMvLQ1lZmXyet7e3znXe3t4N6oFZvnw5Dh06hK1bt+LUqVMICwur89y4uDhYWVnJxd7eXu/6iIiIGkKSJIOUlqDJJ/ECgKmpKXx9feHr64vIyEiEhIQgOjoa06ZNq/X80tJSaLVaPPLII7XGMjRbW1vY2tqib9++6NixI+677z5ERkbCzs6uxrnh4eE6CU5JSQmTGCIiIgNrFgnMzVxcXOSl08bGxqisrNQ57u7ujhMnTsDZ2fmWcTIyMhAUFKSz7ebm1qi2VVVVAUCtc3YAQKVSQaVSNaoOIiKiBmlBQ0CN1aQJTGFhIQIDAzFjxgy4urrCwsICBw8exJIlSzBx4kQAgJOTE1JTU+Hj4wOVSgUbGxtERUVh3LhxcHBwQEBAAIyMjJCdnY1jx45hwYIFcvzk5GR4eHhg2LBh2LBhAzIzM3WWS+fm5uLixYvIzc1FZWUlsrKyAADOzs5Qq9X4+uuvkZ+fj8GDB0OtVuPnn3/Gyy+/DB8fH50VUURERM1CG0pgmnwVkpeXF5YvX477778f/fv3R2RkJEJDQ/Huu+8CAJYtW4bdu3fD3t5e7j3x8/PD9u3bsWvXLgwePBhDhgzB8uXL4ejoqBNfq9UiKSkJrq6u+Oijj7Bx40a4uLjIx6OiouDm5obo6GiUlpbCzc0Nbm5uOHjwIADAzMwMa9euxbBhw9CvXz/MnTsXEyZMwPbt2+/QJ0RERNQyrFq1Ck5OTjA1NYWXlxcyMzPrPHft2rW47777YGNjAxsbG4waNeqW59dGEkKIxja6OZIkCVu2bMGkSZOatB0lJSWwsrJCcV4uLC0tm7QtRNQ8iUtFitcxs2vtz7sylNX5RxSNrzRJbaNsBeZWioav/l3zT+omWKrNGx3PyHOcXudv2rQJQUFBWLNmDby8vLBixQokJyfjxIkT6Nq1a43zp06dCh8fHwwdOhSmpqZYvHgxtmzZgp9//hk9evSoXxv1aiERERE1X020jPqtt95CaGgopk+fDhcXF6xZswbm5ub48MMPaz1/w4YNmDVrFgYOHIi+ffvigw8+QFVVFVJTU+tdJxMYIiIi0lHbM83qWrxSUVGBn376CaNGjZL3GRkZYdSoUdi/f3+96isrK8PVq1fRsWPHerex1SYwQogmHz4iIiK6owz0KoGbn2lmZWWFuLi4Wqv8+++/UVlZiW7duuns79atGy5cuFCvZr/66qvo3r27ThJ0O81yGTURERE1gCQZZBXSzc80A6DYI0LeeOMNJCUlIS0tTa9nuTGBISIiIh36PNOsc+fOaNeuHfLz83X25+fnw9bW9pbXvvnmm3jjjTfw7bffwtXVVa82ttohJCIiojanCd5GbWJigkGDBulMwK2ekHvzK31utGTJEsTGxmLHjh3w8PDQ+1bZA3OnVJQDFVeUiW1i+NcnELUoVxX62apm3PJ/xpRe5jyzm35/PevrvUNfKBofPXsrGl5SeBn1/ypqmgfZhYWFITg4GB4eHvD09MSKFStw6dIlTJ8+HQAQFBSEHj16yPNoFi9ejKioKHz66adwcnKS58pUv9+wPpjAEBERUaM89thjKCgoQFRUFC5cuICBAwdix44d8sTe3NxcGBn9L7FavXo1KioqEBAQoBMnOjoa8+fPr1edTGCIiIhaCyPpemkCL7zwAl544YVaj6WlpelsnzlzptH1MYEhIiJqLfguJCIiIqLmiz0wRERErUUDVhG1VExgiIiIWgsOIRERERE1X02ewBQUFGDmzJlwcHCASqWCra0t/Pz8sHfvXgCAJElISUlRpO6FCxdi6NChMDc3h7W19S3PLSwsRM+ePSFJEoqKihRpDxERUaM0wYPsmkqTDyH5+/ujoqICiYmJ0Gg0yM/PR2pqKgoLCxWvu6KiAoGBgfD29sa6detuee7TTz8NV1dXnDt3TvF2ERERNQiHkO6MoqIipKenY/HixRg5ciQcHR3h6emJ8PBwTJgwAU5OTgCAyZMnQ5IkeRsAtm7dCnd3d5iamkKj0UCr1eLatWvycUmSsHr1aowZMwZmZmbQaDTYvHmzTv1arRZz587FgAEDbtnO1atXo6ioCC+99JLB7p2IiIgarkkTmOpHBqekpKC8vLzG8QMHDgAA1q9fj7y8PHk7PT0dQUFBmDNnDnJychAfH4+EhAQsXLhQ5/rIyEj4+/sjOzsbU6dOxZQpU3D8+HG92piTk4OYmBh89NFHOk8RJCIianaMjAxTWoAmbWX79u2RkJCAxMREWFtbw8fHBxEREThy5Po7O7p06QIAsLa2hq2trbyt1Woxb948BAcHQ6PRwNfXF7GxsYiPj9eJHxgYiJCQEPTu3RuxsbHw8PDAypUr692+8vJyPP7441i6dCkcHBzqfU1JSYlOISIiIsNq8jTL398f58+fx7Zt2zB69GikpaXB3d0dCQkJdV6TnZ2NmJgYuQdHrVYjNDQUeXl5KCsrk8+7+S2Y3t7eevXAhIeHo1+/fnjyySfrfU1cXBysrKzkYm9vX+9riYiIGkOSJIOUlqDJExgAMDU1ha+vLyIjI7Fv3z5MmzYN0dHRdZ5fWloKrVaLrKwsuRw9ehQnT56Eqanh3hr73XffITk5Ge3bt0f79u3x4IMPAgA6d+5cZ/vCw8NRXFwsl7NnzxqsPURERLckSf+byNuY0gI0+Sqk2ri4uMhLp42NjVFZWalz3N3dHSdOnICzs/Mt42RkZCAoKEhn283Nrd7t+Pzzz3H58mV5+8CBA5gxYwbS09PRq1evWq9RqVRQqVT1roOIiIj016QJTGFhIQIDAzFjxgy4urrCwsICBw8exJIlSzBx4kQAgJOTE1JTU+Hj4wOVSgUbGxtERUVh3LhxcHBwQEBAAIyMjJCdnY1jx45hwYIFcvzk5GR4eHhg2LBh2LBhAzIzM3WWS+fm5uLixYvIzc1FZWUlsrKyAADOzs5Qq9U1kpS///4bANCvX7/bPjeGiIjojmtBz3FprCZNYNRqNby8vLB8+XKcOnUKV69ehb29PUJDQxEREQEAWLZsGcLCwrB27Vr06NEDZ86cgZ+fH7Zv346YmBgsXrwYxsbG6Nu3L0JCQnTia7VaJCUlYdasWbCzs8PGjRvh4uIiH4+KikJiYqK8Xd07s2fPHowYMUL5D4CIiMigWs4QUGNJQgjR1I1QgiRJ2LJlCyZNmtSk7SgpKYGVlRWK/zgJS0sLZSoxMdy8H6IW6eoVZeMbK/szJi4VKRr/eiXK/lM/s5urovHfO/SFovGlnr2Vjd+lfitZG6r6d03RoTRYWqgbHU9yHmSAVimrWc6BISIiogbgEBIRERG1OC3oQXSN1WoTmFY6MkZERERoxQkMERFRm8MhJCIiImpxWtCD6BqrbdwlERERtSrsgblTTFRc7lyXCoWXwPJzb/1a+JQ3SeFl2gAgKi7f/qRGUHqZ8yz3RxSNv+rT1xWN3+7xVxSNL+MQEhEREbU80v8vrR+HkIiIiKjFYQ8MERFRa8EhJCIiImpx2lACwyEkIiIianHYA0NERNRqcBLvHVNQUICZM2fCwcEBKpUKtra28PPzw969ewFcf6t0SkqKInUvXLgQQ4cOhbm5OaytrWs9R5KkGiUpKUmR9hARETVK9RBSY0sL0OQ9MP7+/qioqEBiYiI0Gg3y8/ORmpqKwsJCxeuuqKhAYGAgvL29sW7dujrPW79+PUaPHi1v15XsEBER0Z3RpD0wRUVFSE9Px+LFizFy5Eg4OjrC09MT4eHhmDBhApycnAAAkydPhiRJ8jYAbN26Fe7u7jA1NYVGo4FWq8W1a9fk45IkYfXq1RgzZgzMzMyg0WiwefNmnfq1Wi3mzp2LAQMG3LKd1tbWsLW1lYupKR+MRkREzZBkoNICNGkCo1aroVarkZKSgvLy8hrHDxw4AOB6D0heXp68nZ6ejqCgIMyZMwc5OTmIj49HQkICFi5cqHN9ZGQk/P39kZ2djalTp2LKlCk4fvy43u18/vnn0blzZ3h6euLDDz/km66JiKiZajsZTJMmMO3bt0dCQgISExNhbW0NHx8fRERE4MiRIwCALl26APhfD0j1tlarxbx58xAcHAyNRgNfX1/ExsYiPj5eJ35gYCBCQkLQu3dvxMbGwsPDAytXrtSrjTExMfjss8+we/du+Pv7Y9asWbeMUV5ejpKSEp1CREREhtUs5sCMHTsW6enpyMjIwDfffIMlS5bggw8+wLRp02q9Jjs7G3v37tXpcamsrMSVK1dQVlYGc3NzAIC3t7fOdd7e3sjKytKrfZGRkfJ/u7m54dKlS1i6dClmz55d6/lxcXHQarV61UFERGQQLWgSbmM1+SokADA1NYWvry8iIyOxb98+TJs2DdHR0XWeX1paCq1Wi6ysLLkcPXoUJ0+eVHx+ipeXF/78889ah7wAIDw8HMXFxXI5e/asou0hIiKSSeAqpKbk4uIiL502NjZGZWWlznF3d3ecOHECzs7Ot4yTkZGBoKAgnW03N7dGtS0rKws2NjZQqVS1HlepVHUeIyIiIsNo0gSmsLAQgYGBmDFjBlxdXWFhYYGDBw9iyZIlmDhxIgDAyckJqamp8PHxgUqlgo2NDaKiojBu3Dg4ODggICAARkZGyM7OxrFjx7BgwQI5fnJyMjw8PDBs2DBs2LABmZmZOsulc3NzcfHiReTm5qKyslIeXnJ2doZarcaXX36J/Px8DBkyBKampti9ezcWLVqEl1566Y5+TkRERPXTcibhNlaTJjBqtRpeXl5Yvnw5Tp06hatXr8Le3h6hoaGIiIgAACxbtgxhYWFYu3YtevTogTNnzsDPzw/bt29HTEwMFi9eDGNjY/Tt2xchISE68bVaLZKSkjBr1izY2dlh48aNcHFxkY9HRUUhMTFR3q7undmzZw9GjBgBY2NjrFq1CnPnzoUQAs7OznjrrbcQGhp6Bz4dIiIiPbWgIaDGkkQrXRMsSRK2bNmCSZMmNWk7SkpKYGVlheK8XFhaWjZpW5qtiivKxjfhc3tavZb+PaR0+wGIisvKxj/3m6LxZ7k/omj8VZ++rmj8do+/omj86t81RSezYGlh0eh4UjeNAVqlrGY5B4aIiIgagkNIRERE1NK0oSGkVpvAtNKRMSIiIkIrTmCIiIjaHPbAEBERUcvTdubANIsn8RIRERHpgz0w1OTE1dpfy2AoksJLYMWlYkXjA4DUwUrxOlq0lr5U/lqF4lVIahtlK+jZW9HwSi9zfv6JBbc/qRHWKLyMupokSZA4hEREREQtShuaA8MhJCIiImpx2ANDRETUarSdSbxMYIiIiFoNDiERERERNVvsgSEiImotOIn3zigoKMDMmTPh4OAAlUoFW1tb+Pn5Ye/evQCuLwdLSUlRpO6FCxdi6NChMDc3h7W1dZ3nJSQkwNXVFaampujatSuef/55RdpDRETUeJKBSvPXpD0w/v7+qKioQGJiIjQaDfLz85GamorCwkLF666oqEBgYCC8vb2xbt26Ws956623sGzZMixduhReXl64dOkSzpw5o3jbiIiI6NaaLIEpKipCeno60tLSMHz4cACAo6MjPD09AQBOTk4AgMmTJ8vHqpOHrVu3QqvVIicnB927d0dwcDBee+01tG9//XYkScJ7772Hbdu2IS0tDXZ2dliyZAkCAgLk+rVaLYDrPSy1+eeff/D666/jyy+/xIMPPijvd3V1NdhnQEREZFAcQlKeWq2GWq1GSkoKystrPon1wIEDAID169cjLy9P3k5PT0dQUBDmzJmDnJwcxMfHIyEhAQsXLtS5PjIyEv7+/sjOzsbUqVMxZcoUHD9+vN7t2717N6qqqnDu3Dn069cPPXv2xKOPPoqzZ8824q6JiIgU1HZGkJougWnfvj0SEhKQmJgIa2tr+Pj4ICIiAkeOHAEAdOnSBQBgbW0NW1tbeVur1WLevHkIDg6GRqOBr68vYmNjER8frxM/MDAQISEh6N27N2JjY+Hh4YGVK1fWu32///47qqqqsGjRIqxYsQKbN2/GxYsX4evri4qKuh/7XV5ejpKSEp1CREREhtWkk3j9/f1x/vx5bNu2DaNHj0ZaWhrc3d3rHNYBgOzsbMTExMg9OGq1GqGhocjLy0NZWZl8nre3t8513t7eevXAVFVV4erVq3jnnXfg5+eHIUOGYOPGjTh58iT27NlT53VxcXGwsrKSi729fb3rJCIiapy20wXT5M+BMTU1ha+vLyIjI7Fv3z5MmzYN0dHRdZ5fWloKrVaLrKwsuRw9ehQnT56EqanhXuhmZ2cHAHBxcZH3denSBZ07d0Zubm6d14WHh6O4uFguHHIiIqI7pnoOTGNLC9DkCczNXFxccOnSJQCAsbExKisrdY67u7vjxIkTcHZ2rlGMjP53OxkZGTrXZWRkoF+/fvVuh4+PDwDgxIkT8r6LFy/i77//hqOjY53XqVQqWFpa6hQiIiIyrCZbhVRYWIjAwEDMmDEDrq6usLCwwMGDB7FkyRJMnDgRwPWVSKmpqfDx8YFKpYKNjQ2ioqIwbtw4ODg4ICAgAEZGRsjOzsaxY8ewYMH/XoeenJwMDw8PDBs2DBs2bEBmZqbOcunc3FxcvHgRubm5qKysRFZWFgDA2dkZarUavXv3xsSJEzFnzhy8//77sLS0RHh4OPr27YuRI0fe0c+KiIioXlpQD0pjNekqJC8vLyxfvhz3338/+vfvj8jISISGhuLdd98FACxbtgy7d++Gvb093NzcAAB+fn7Yvn07du3ahcGDB2PIkCFYvnx5jV4RrVaLpKQkuLq64qOPPsLGjRt1hoOioqLg5uaG6OholJaWws3NDW5ubjh48KB8zkcffQQvLy+MHTsWw4cPh7GxMXbs2AFjY+M78AkRERHpq+3MgZGEEKKpG2FokiRhy5YtmDRpUlM3BSUlJbCyskJxXi6Hk+ogLhUrGl/qYKVofKXbDyh/D9TEyu7AakVzZf/9UfrnoOrbJEXjP//Egtuf1AhrhLJfY/l3zZ+nYWlp0fiAFp0aH0NhfBcSERFRayGhzQwhMYEhIiJqLTgHpmUTQjSL4SMiIqK2YtWqVXBycoKpqSm8vLyQmZl5y/OTk5PRt29fmJqaYsCAAfj666/1qq9VJjBERERtU9NM4t20aRPCwsIQHR2NQ4cO4d5774Wfnx/++uuvWs/ft28fHn/8cTz99NM4fPgwJk2ahEmTJuHYsWP1rpMJDBERUWvRRA+ye+uttxAaGorp06fDxcUFa9asgbm5OT788MNaz3/77bcxevRovPzyy+jXrx9iY2Ph7u4ur0KuD86BUVj1Iq+Sf/9t4pY0X6JM2c9GqlR2PFjp9gPK3wM1sct34N+Ha8qGV/rnoKrsiqLxK6DsgtySkhJYWFhAUmh+iqF/15RfqoCJiYlOe1UqFVQqVY1zKyoq8NNPPyE8PFzeZ2RkhFGjRmH//v21xt+/fz/CwsJ09vn5+SElJaXebWQCo7B///83k33ve5q4JURE1FTWW1mhuLhYscdp3InfNdHR0Zg/f36N/X///TcqKyvRrVs3nf3dunXDL7/8UmusCxcu1Hr+hQsX6t0eJjAK6969O86ePVvvzLukpAT29vY4e/asIt/ojN+08e9EHYzfuuPfiToYX5n4FhYGeD5LHfT9XXM75eXltfbANCdMYBRmZGSEnj176n2d0u9RYvymjX8n6mD81h3/TtTB+E0bXx8N/V1jCJ07d0a7du2Qn5+vsz8/Px+2tra1XmNra6vX+bXhJF4iIiJqMBMTEwwaNAipqanyvqqqKqSmpsLb27vWa7y9vXXOB4Ddu3fXeX5t2ANDREREjRIWFobg4GB4eHjA09MTK1aswKVLlzB9+nQAQFBQEHr06IG4uDgAwJw5czB8+HAsW7YMY8eORVJSEg4ePIj333+/3nUygWlmVCoVoqOjFRtrZPymjX8n6mD81h3/TtTB+E0bvyV67LHHUFBQgKioKFy4cAEDBw7Ejh075Im6ubm5MDL636DP0KFD8emnn+L1119HREQE7r77bqSkpKB///71rrNVvsyRiIiIWjfOgSEiIqIWhwkMERERtThMYIiIiKjFYQJDRERELQ4TGCIiImpxmMAQtRBXr15t6iY0ipILHm+M3VIXVird7jv1GbXUzx8AKisrAbTse2hLmMAorPoHoaqq6o7W19LiFxUVKRK32uHDh2s8ttqQ9uzZg6NHjyoWf9OmTVixYgUAZb4GV65ckV8GpxSl3sILAJcvXwYAXLt2DZIkKfLzpvTPcHX8m//fUP7991+Ul5fjypUrinxGWVlZAK5/nZX4Hv3qq6+Qnp5u8LjVtm3bhri4OPnzoeaPCYzC/vjjDwDX31OhxD+A+/fvx9q1a7Fy5Ur89NNPBv/HY+fOnQgPD0dQUBC2b9+uyD9OH3/8Mby9vXHw4EGDxq22atUqTJgwAcXFxYrEX7duHR5//HF8/fXXuHTpksHjr1+/Ho8//jgiIyNx/Phxg//jmpycjCeffBJeXl6Ijo42eCKza9cuLFq0CPPmzcO2bdsM/v2TlJSExx57DCNGjMBTTz2FkydP6jwwq7G+++47HD9+XLGfYQD48ssv8cILL2D8+PGIiYnBP//8AyMjI4N9VsnJyXjsscdw//33Y9KkSSgoKDDoZ7Rlyxa4u7sjJCQEgOGTmPj4eIwfP96gbb7RunXr8NRTT0GtVqOgoEDef6f+8KQGEqSYjz/+WEiSJFasWCHvq6ysNFj8devWie7du4uhQ4cKFxcX0bNnT/Hf//7XYPE/+OAD0blzZxEYGChGjx4tJEkS6enpBotfVVUlhBBi1KhRQpIkcffdd4uDBw8aLL4QQqxZs0a0b99ebNy40aBxq23ZskV06NBBsfhr1qwR7dq1EzExMcLDw0OsWrVKCCHEtWvXDBI/ISFBWFpainnz5onXXntNSJIkEhISDBJbCCE+/PBDYWVlJQICAsSkSZOEJEkiODhYZGZmGiT+xo0bhUqlEjExMeL//u//xIMPPijUarX4+OOPRVlZWaPjb9q0SUiSJFxdXcXRo0eFEIb9GRbi+mdkYWEhXn75ZTFx4kQxbNgw8eyzz4qKigqDxTc3NxeLFy8WixYtEt7e3mLmzJnycUPcz6effir69u0rOnXqJB577LFGx7vR2rVrhbGxsUhOTq71eGPbv2/fPtGtWzfx8ccfCyGEqKioENeuXRNXrlxpVFxSHhMYhaSlpQknJydx//33i44dOxo8idm6davo2LGj2LRpkygvLxcnTpwQjz/+uJg1a5aorKxsdB3Jycmic+fOYvPmzaKqqkoUFhaKoUOHiu+++67Rba9W3UatVitWrFghnnrqKdG9e3eRkZFhkPiJiYnCyMhIpKSkCCGEOH/+vEhNTRVffPGFyMrKMkgdL774ooiKihJCCPHLL7+IqKgo8eijj4q33npLHDlypFGx3333XaFSqcS2bduEEEI89dRTolevXqK8vLzR7RZCiOPHj4u7775b5xfD008/LdatWyf+/fffRsfPzs4Wjo6O4vPPP5f3ffLJJ0KSJOHv7y9++OGHBseuqqoSFRUVYuzYseLVV1+V91+7dk2EhYUJY2NjsW7dOjlJboiMjAzh7u4upk6dKsaPHy88PT0NnsTs2bNHODg4iE2bNsn73nzzTXHvvfeKf/75p9Hxt2/fLnr06KHzNZ49e7aIjY0VZWVlorS0tNF1CHH934tRo0aJ77//XtjY2IgnnnhCPvb77783OG5CQoKQJEls2LBBCCHEqVOnxDvvvCNeeOEFsWjRIvHXX38JIRr39Vi3bp2YMGGCEEKInJwcMW7cOOHp6Sk0Go348MMPRX5+foNjk7KYwCjg8uXL4rXXXhPPPPOM+Omnn0RMTIywsLAwWBJz8eJFMWXKFPHKK6/o7I+NjRUDBgxocNxq//zzj/D19RWLFi3S2e/p6SkeffRR8dBDD4lly5aJixcvNrouIYRYvny5CAwMFGVlZeLBBx8U9vb24scffxSPPfaY2L17t97xqqqqREFBgejUqZPw8vISly5dEr/88ovw8PAQ/fv3F7a2tqJdu3Zi+fLljWp3ZWWluP/++8WSJUtEbm6ucHR0FBMmTBABAQHC1tZWjB8/XqSmpjYo9k8//SQkSRKbN2+W9x06dEj06tVLrFmzplHtvrGOvn376iRanp6ewsfHR9ja2ooZM2aIHTt2NDj+nj17hIeHh7h48aL8V+3hw4dFv379hJ2dnZg6dWqDexmqExgvLy8RFxcnhNDtlXr55ZeFubm5nAw35Oft66+/Fo888og4fvy4+Pbbb8XYsWN1kpjG9oJdvXpVLFu2TDz55JOiuLhYjpeXlyfs7OzE4cOHGxVfCCFWr14twsLCdHqjHnjgAdG7d2/Rv39/0adPH/H9998LIRr3b9L58+fFmDFjRHl5udiyZYuwtrYWTzzxhPD29hYrVqwQV69ebVDcV199VUiSJL777jtx4MABcdddd4kxY8YINzc3MXDgQGFnZyf++OOPRrV/yZIlIjAwUFy8eFH07NlTvPDCC2Lt2rVi7ty5omPHjuKNN94wyB+FZHhMYBTy888/iz179gghhMjPzxdarbZGEtPQvw7LysrEm2++Kf9lXh1n165dwsXFRZSXlzf6h+3o0aM6vRQTJkwQ3bt3Fy+//LKIjIwUkiSJ119/vVF1VLd79+7dYsyYMfJ+Pz8/0a5dO+Hu7i5KSkoaHP+bb74Rd999txg/frywt7cXL774ovj555/F6dOnxfLly4UkSSIpKanB8SsrK8VTTz0lXnvtNfHuu++K5557Tu4dyc7OFoMGDRIhISENiv3333+LX375RQjxv8/p33//FQ888IAYO3Zsg9t8o8OHDwtJksT8+fNFamqqGD9+vOjVq5f4+OOPxYYNG4SHh4cIDAxs8F/p33zzjTAyMhLHjh2T923YsEE8+uijIjk5WUiSJLZu3dqoewgODhb9+vUTly9fFkIInYQoMDBQuLm5iUuXLjU4fk5OjvzfO3bsEA8//LDw9PTUSfoa+stZCCG+/PJL8c0338jblZWVIi8vT3Ts2LHWYTZ9f64rKipEbm6uvP3UU08JR0dHkZKSIvbs2SOCgoJE165dG93LkJ+fL+zt7eU2f/nll8LExERYW1vLvXkN/Tdp9uzZQpIkYWdnJyIiIuSeqRMnTogRI0aIIUOGNGq48MMPPxSdOnUSn332mZg2bZpOYrp06VJhbm4uTp8+3eD4pBwmMHfIhQsXaiQx+fn5IiEhQRQVFekdr6CgQP7v6l9wGRkZol+/fjrd/z/99FMjW349wQgMDBSnTp2S9y1btkzY2NiI/Pz8RnXTC3G9R2nw4MHi6tWroqqqStxzzz2ic+fOonv37g36K7Sqqkpu044dO4Stra2YPn16jX/kHnvsMeHn5ycuX77c4HvYsGGDkCRJ9OnTR0RGRsr1CyHE559/LkxNTeW/EBuj+h//77//XqhUKrFly5ZGxxRCiPj4eNGtWzfh7+8vunTpovMLe+fOnUKSJHHgwIEGxS4qKhL+/v7C2dlZxMXFiddff11IkiTPNZg8ebI8/FOfz7/6nBv/Gv7xxx+Fh4eHCA0NrZHEfP7558LR0VGcOXOmXu29MX5d7dm5c6ecxBw7dkxcvXpVPPLII3KvTH3rqP4leeMv9epjV65cERqNRu49qqqqEvPmzavXkNKN93CzgoICER4ervN5HDlyRFhZWdW7p7O2+NX/PXbsWPn755577hH9+/cX1tbWIjg4uF6xb45/YyLxyiuviPvuu0+cP39e52sTHx8vevbsqZOk6dt+IYS4//77hZmZmRgyZIjcWyjE9a+Tg4ODTk8oNR9MYAykrr8ubvwhzMvLE1qtVlhZWYmFCxeK+++/X/Tp06def5nUJ/7OnTuFk5OTvD18+HDRq1cvIcTtf0Hcrg3Vf4VXx1m2bJkYNWqUXn9V1XbutWvXxIULF8SwYcPEgQMHhJeXlxgxYoT4448/xNixY0W7du3knoiGxBdCiAMHDohdu3bV2P/kk0+KKVOmNKr9FRUVYs6cOUKSJPHss8/Kv0SFECI1NVUMHTq03glqXe2/8WuXn58vhg8fLmbNmnXLa/SJf/HiRXHo0CHh5eUlLl++LH9PVc8Bacznn5GRIV544QXRp08fMWTIEDnxqqqqEg888ICYPXt2vdt/41/B1XVVVFSIJUuWiMGDB4tZs2bp9Lb8+OOPok+fPuLXX39tcPxqN34Ndu7cKcaNGyc8PDyEm5ub6Nq1a717YW6so64hqMrKSuHs7CxPaB8zZoxwcnKq15BVXfdw8y/u6v/fu3evGDx4cL2/xrf6jObMmSNeffVVce+994r77rtPXLhwQU6CtVptg+LfeM839uRV7//000/FkCFDRGFhYaPa/8UXXwgPDw9ha2srjh8/Lu/Py8sTrq6uBp37R4bDBMYAbvxBOHHihDh06JAoLy+Xf8hu/Mftr7/+ksd1PTw85L8Wb5Vg3C5+9f/v3LlT9OnTR1RUVIiHH35Y3HPPPfWaY3C7+Df/RXrlyhUxduxY8fzzz9829u3qqP5snnjiCSFJkhg+fLg8Me/SpUsiLCysXv9w1xb/8uXLcvyb/7EtLS0Vo0aNErGxsY1qf1VVlTh//rwIDg4W7du3FwsWLBCHDh0S586dE+PHjxcPP/xwvXoX6vs1FkKIt99+W3To0KHev5jrin9jsrJ//36hVqvlHrt///1XTJgwod5J6s3xDx48qPN9U1hYKIqLi+VzLl68KO6//36xevXqerW/thV91V/bsrIysWDBAuHp6Snuv/9+8eOPP4q0tDTx8MMPixEjRtSr/fVZMXjj17F6dVL1X+xC3H5OTH3rKCgoED169BDp6ekiMDBQ9O7du1516HsP5eXlYty4cWLixImN+oyqr126dKmQJEk8/PDD8s9wVVWV2LdvX70SvNvFv1l5ebkYPXq0ePLJJ+v1M1Zb/OrPs6KiQiQlJYm+ffsKW1tb8cEHH4gNGzaI8ePHi6FDhxps1R8ZFhMYA3r55ZeFo6OjMDU1FYMHDxYv/7/27j0oqvr9A/h7BbwgIHIRUASEFMMbgsKwCl6QIDUxSHTGJB1plJxqaGRGS3JEstTMHM17ppmpWWmYEgqKAjYq5khhKSoiG9gCCoqwKvD8/vDL+YEg7LLs5Rye11/usvs+n2evj2c/n3Pi44U9Fw1v4IqKCvL29iZfX1/hOnX/99ZaPhFRTk4OeXl50ejRo8nd3V340OuofJVKRXl5eTR16lQaPny4kKvJzy8tbUOlUtGBAwdo4cKFdPfu3Rbvp+4HiCY1eHt7azx/oXH+qFGjaMmSJVRdXU0qlYpWrFhBVlZW5OTkRF5eXuTn5yc8B+ruKWlt/A1ZDx48IFdXV0pMTNRo7C/Kb5hnNHv2bDIxMaExY8aQj49Pkwa7PeMfNWoUxcfHN/lJs7q6mv744w969dVXacSIEWo9/q2t6GsYn0qlouTkZAoODiZLS0saMmQIjRs3Tq3xa7pisLKyksaNG0dDhw5V+z2syTYqKyvJ3d2dbGxsaPDgwWq9jzXJV6lUdPr0aQoLC6Nhw4Zp/Rg1vDcrKytp7dq1L5xP01Hjr6mpofT0dAoJCVH7c6i1/Ib719bW0tWrVyk6Opo8PDxo1KhRNG3aNLUbVKZ/3MBoofEb6/vvvydXV1c6evQoXbx4keLj4ykgIIDefPNNYbf2kydPKDExkXx9fdX6UNI0/+TJkySTyXSaHxoaSkFBQWq/qdvahr+/P82fP7/dq1E0reG3336joKAgksvlatWgzvijo6OF/L/++ouysrLozJkzLe6B03b8RM8+qHfs2KHxnqkX5c+ZM4dqamro0aNHtG3bNlq8eDFt3LhRrS9nTcdfWFhIs2bNokmTJqn1+Kuzou/5105eXh4pFAphbK2Nvz0rBlNSUigkJETt/yBouo3q6moaNGgQ+fn5qfUcaJqfk5NDcXFxFB4e3mH52hwzRdPxX7hwgWJjYyksLEyt50Cd/OfvX1xcTA8fPhSaIm0majPd4QamAxw+fJhWrFhBq1evFq57/Pgxbd26lXx9fWnbtm3C9bdu3VLri02T/IZltUVFRbRq1SqN9+yoO/7i4mJKS0vTePxtbcPb27vJY9Qe6tagUCjo+PHjHfoc+Pj4vPCnEHX/16bu+J/P64j8kSNH0vbt2/UyfqJn8xDUaS4aqLOi7/n5Eo2v74j8xhPDGy6rO35Nt1FXV0eHDx/W6DWqyarHuro6unPnjkY16HJVZXvGf/PmzQ5/DdXX1wuPeeNaePm08eIGRkuVlZVkamoqTOJ83uTJkyk8PLzZ9eq+KdTJbzgIU2PqfrC2N1+T3antfYw6Ml+bGoxh/IZ4fDoyX5v3wPM6ekWfJvmNJ4tq84X9om3s2rWryUTw9v5s0Vp+40MTtLcGQz0Hz4/fWF9DTD+4gdFQS294hUJBHh4ewqHwG7+pPvvsMwoKClL7WBTtzVf3WB26ztdmG2J/jHQ9/s6Sbwwr+rTJl0INnM/EgBsYDTR+YRcXF1N5eTmVlJQQEdGdO3fIwcGBAgMDKSMjgx49ekT3798nuVxOUVFRnSJfCjVwvvHkG2JFn7b5UqiB87Xbu8b0hxsYNTV+Qa9cuZICAwNp8ODBNG7cOOFcO0VFRdS3b18yNzcnuVxOERERFBAQIBydtbU3hdjzpVAD5xv+NdTAkCv6OiJfCjVwPjN23MBoKCEhgWxtbSk5OZmys7MpODiYzMzMhKNbFhcXk4eHBzk6OtKxY8eErl/dE/CJPV8KNXC+/vONbUWfpvlSqIHzuXkRG25gNHD37l0KDAwUTnB39OhRsra2ps2bNxMRCZPvFAoF2dvb08SJEyk/P1/tiXhiz5dCDZxv2HxDr+jTNl8KNXA+EwtuYFrx/O7ua9euUe/evamoqIhSUlLIwsJCWD7bcILF/Px8Inq2K93Z2Zl8fX1feMRUsedLoQbON/xrqIExrOjTdrWU2GvgfCYm3MC8QOOjSe7YsYNqampIpVJRREQExcXFkaWlZZNO/u+//6Zp06ZRamqq0MkXFhbSoEGDWjyZnNjzpVAD5xs2X+yrpaRQA+czMeMGpgVpaWnUt29fysvLo/fff7/J6dQbTu3e+DxADx48oMmTJ1NISEizgyu1tOtc7PlSqIHzDZsv9tVSUqiB85nYyYiIwAT19fXo0qUL5HI5bty4AZVKhTNnzmDkyJHCbSIjI3HhwgWMHTsWdnZ2yM3Nxf3793Hp0iWYmZkJGQBARJDJZJLJl0INnG/Y/MaXk5KScOLECZSWlsLBwQFxcXEIDw+HQqGAv78/Kioq4O3tDUdHR5SUlCAjIwNdu3Zt8XWpr3wp1MD5bT/HTAT01iqJQGpqKiUlJVFRURGtXLmSZDIZubi40OXLl5tN8FqzZg1FR0dTVFQULV++XK0leGLPl0INnG/411ADMa6WkloNnM/EjBuY/9m1axf169ePYmNjKS8vj/7880+6du0ayeVy8vDwoKysLKqtrW022avx5dZWWog9Xwo1cL7hX0MNxL5aSgo1cD4TO25giGj//v1kbm5OBw8ebPE8GGPHjiVXV1f6/fffhesSExPVPgOr2POlUAPnGzZfCqulxF4D56u/Io6JQ6dvYJRKJY0fP542bdrU5PqHDx9SVlYW/fPPP0T0bPmdi4sLrVu3jl555RVyc3NTq5MXe74UauB8w+aLfbWUFGrg/LafYyY+3MAoleTl5UWHDx8Wrtu8eTO98cYbJJPJyN7eXjhuwJw5c2jChAkUFhYmHLmxreMHiD1fCjVwvuHyxb5aSgo1cH7bzzETJ1NDTyI2Bg8ePMCxY8dgZWWFzZs34/r16xg7dixSU1NRWVmJDz74AJs2bcK3336L0tJS2NnZQSaToba2FqambT+EYs+XQg2cr//8+vp6BAcHw9XVFePHj4dKpUJWVhbc3NwAABs2bIBCocAvv/yC8vLyZquZunTpgvr6eiG/YVWTvvKlUAPnt/0cMxEzdAdlDNLS0qhXr17k7u5OI0aMoPT0dCorKyMionv37pG3tzctW7asyX00OVup2POlUAPn6zdfCqulxF4D5/PpAaSOG5j/USqVdOvWrWbX37t3jwIDA5v8vtoZ8/WxDc6XRr4UVkuJvQbO55+LOgNuYFqhVCppypQp5O/vr5M3g9jz9bENzhdXvthXS0mhBs5nnQU3MC0oLS2lTz/9lKZMmUKjR48WJit21BeE2PP1sQ3OF1++2FdLSaEGzmedCU/ibYFCoUB2djZeeuklHDlyBKamphpNeJV6vj62wfnizFcqlejXr59wecuWLTh16hR++ukn2NnZQS6X49ixY4iOjsavv/6Kbt264fr16zAxMWly+gFD5UuhBs7nibqdhqE7KGN1//59YZKiLjp7sefrYxucL658pVJJzs7OFBMTQ+np6RQZGUnDhg2j2NhYOnHiBB06dIj69+9PGzduFG7fkK/OZEtd50uhBs5nnQk3MG3QdLVOZ8vXxzY4Xzz5YlstJcUaOJ91FvwTUht0fbZSsefrYxucL5784OBg5Ofno6qqCgMGDGj2d0tLS/Tv399o8/WxDc43bD6TDhkRkaEHwRiTttLSUsybNw9lZWXIzs6GiYmJqPL1sQ3ON2w+Ex/eA8MY05mysjLs3LkTWVlZUCqVwhdPXV1dh3wB6TpfH9vgfMPmM/Hi6dqMMZ1pvJrp3LlzMDMzQ21tbYd98eg6Xx/b4HzD5jPx4p+QGGM6VVFRgV69ekEmk+nkf826ztfHNjjfsPlMnLiBYYzpBRHpdLKlrvP1sQ3ON2w+ExduYBhjjDEmOjwHhjHGGGOiww0MY4wxxkSHGxjGGGOMiQ43MIwxxhgTHW5gGGOMMSY63MAwxhhjTHS4gWGMMcaY6HADw5gRKi0tRWxsLFxcXNCtWzc4OjoiNDQU2dnZhh5ah3Fzc8OXX35p6GEwxkSKT+bImBGKjIzEkydPsGfPHri7u+O///5Deno6ysvLDT00xhgzCrwHhjEjU1FRgczMTKxevRoTJkyAq6sr/Pz8sHTpUkybNq3J7WJiYmBvbw8rKytMnDgRV65caZKVlJSEPn36wNLSEjExMViyZAm8vb2Fv8+dOxfTp0/HqlWr4ODgAGtrayQmJqK2thbx8fGwsbGBs7Mzvvnmmya5RUVFiIqKgrW1NWxsbBAeHo7bt283y/3888/h5OQEW1tbLFq0CE+fPgUAjB8/HoWFhYiLi4NMJmv18PAymQw7d+7E66+/DnNzcwwcOBDJycnC3+vq6jB//nwMGDAAPXr0gKenJzZs2NAkQ1d1MsYMhxsYxoyMhYUFLCwscOTIETx+/PiFt5sxYwaUSiVSUlJw6dIl+Pj4IDg4GPfu3QMA7Nu3D5988glWr16NS5cuwcXFBVu2bGmWc+rUKRQXF+Ps2bP44osvsHz5ckydOhW9e/fG+fPnsXDhQixYsAAKhQIA8PTpU4SGhsLS0hKZmZnIzs6GhYUFwsLC8OTJEyH39OnTuHnzJk6fPo09e/Zg9+7d2L17NwDg559/hrOzMxITE1FSUoKSkpJWH5MVK1YgKioKubm5mDx5MmbPni3UWV9fD2dnZxw6dAhXr17Fxx9/jA8//BA//PCDXupkjBkIMcaMzo8//ki9e/em7t27k1wup6VLl9KVK1eEv2dmZpKVlRWpVKom9/Pw8KBt27YREZG/vz8tWrSoyd/HjBlDI0aMEC6/9dZb5OrqSnV1dcJ1np6eFBgYKFyura2lnj170v79+4mIaO/eveTp6Un19fXCbR4/fkw9evSg1NTUJrm1tbXCbWbMmEEzZ84ULru6utL69evbfCwA0LJly4TLVVVVBIBSUlJeeJ9FixZRZGSkzutkjBkO74FhzAhFRkaiuLgYycnJCAsLQ0ZGBnx8fIQ9GFeuXEFVVRVsbW2FPTYWFhYoKCjAzZs3AQDXrl2Dn59fk9znLwPAkCFD0KXL/38UODg4YNiwYcJlExMT2NraQqlUCtu+ceMGLC0the3a2NhApVIJ227INTExES47OTkJGZoaPny48O+ePXvCysqqSdZXX30FX19f2Nvbw8LCAtu3b8edO3f0UidjzDB4Ei9jRqp79+4ICQlBSEgIEhISEBMTg+XLl2Pu3LmoqqqCk5MTMjIymt3P2tpao+2YmZk1uSyTyVq8rr6+HgBQVVUFX19f7Nu3r1mWvb19q7kNGZpqLevAgQNYvHgx1q1bh4CAAFhaWmLt2rU4f/58mxkdUSdjzDC4gWFMJLy8vHDkyBEAgI+PD+7evQtTU1O4ubm1eHtPT09cvHgR0dHRwnUXL17Uehw+Pj44ePAg+vTpAysrq3bndO3aFXV1dVqPJzs7G3K5HO+8845wXUfsIemoOhljusE/ITFmZMrLyzFx4kR89913yM3NRUFBAQ4dOoQ1a9YgPDwcADBp0iQEBARg+vTpOHHiBG7fvo1z587ho48+Qk5ODgDg3Xffxddff409e/YgPz8fSUlJyM3NbXXFjzpmz54NOzs7hIeHIzMzEwUFBcjIyMB7770nTIBVh5ubG86ePYt///0XZWVl7R7PwIEDkZOTg9TUVFy/fh0JCQkd0qh1VJ2MMd3gBoYxI2NhYQF/f3+sX78eQUFBGDp0KBISEvD2229j06ZNAJ791HH8+HEEBQVh3rx5GDRoEGbNmoXCwkI4ODgAePYFvHTpUixevBg+Pj4oKCjA3Llz0b17d63GZ25ujrNnz8LFxQURERF4+eWXMX/+fKhUKo32VCQmJuL27dvw8PDQ6ieZBQsWICIiAjNnzoS/vz/Ky8ub7I1pr46qkzGmGzIiIkMPgjGmHyEhIXB0dMTevXsNPRTGGNMKz4FhTKKqq6uxdetWhIaGwsTEBPv370daWhpOnjxp6KExxpjWeA8MYxJVU1OD1157DZcvX4ZKpYKnpyeWLVuGiIgIQw+NMca0xg0MY4wxxkSHJ/EyxhhjTHS4gWGMMcaY6HADwxhjjDHR4QaGMcYYY6LDDQxjjDHGRIcbGMYYY4yJDjcwjDHGGBMdbmAYY4wxJjr/B4AqJ0veBUBTAAAAAElFTkSuQmCC", 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    " ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Working on cut-off: 300\n" ] }, { "data": { "image/png": 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", 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    " ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Working on cut-off: 400\n" ] }, { "data": { "image/png": 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", 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    " ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Working on cut-off: 500\n" ] }, { "data": { "image/png": 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", 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    " ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Working on cut-off: 600\n" ] }, { "data": { "image/png": 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", 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    " ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Working on cut-off: 700\n" ] }, { "data": { "image/png": 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", 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", 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    " ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Working on cut-off: 900\n" ] }, { "data": { "image/png": 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", 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    " ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Working on cut-off: 1000\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
    " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "q1, q3 = np.quantile(list_of_rog, [0.25, 0.75])\n", "iqr = q3 - q1\n", "min_rog = q1 - 1.5 * iqr\n", "max_rog = q3 + 1.5 * iqr\n", "\n", "low_limit = 2 * np.nanmax([int(min_rog/100)*100, 100])\n", "high_limit = 2 * (int(max_rog/100)*100) + 1\n", "\n", "freqmap_dict={}\n", "\n", "for cutoff in range(low_limit, high_limit, 100):\n", "\n", " print(f\"Working on cut-off: {cutoff}\")\n", "\n", " freq_temp = [convertToFreq(pairs_features_df = dataframe_spatialfeatures,\n", " value = \"coms_distance\",\n", " filename = f,\n", " cluss = np.arange(starting_step - 1,starting_step + number_of_steps_library - 1),\n", " cut0ff = cutoff) for f in dataframe_spatialfeatures[\"flag\"].unique()]\n", "\n", " freqmap = np.stack(freq_temp, axis=0)\n", " freqmap = np.nansum(freqmap, axis=0)\n", " freqmap = np.divide(freqmap, collection_combined_mats[\"coms_distance\"])\n", " \n", " fig, ax = plt.subplots(1, 1, figsize=(6, 5)) # 1 row, 1 columns\n", "\n", " # First heatmap, non-normalized\n", " sns.heatmap(\n", " data = freqmap,\n", " ax = ax,\n", " cmap='Reds',\n", " square=True,\n", " vmin=0,\n", " vmax=1,\n", " xticklabels=list(tp_names.values()),\n", " yticklabels=list(tp_names.values()),\n", " )\n", " ax.set_xlabel(\"Segment name\")\n", " ax.set_xticklabels(ax.get_xticklabels(), rotation=45, ha='right')\n", " ax.set_ylabel(\"Segment name\")\n", " ax.set_title(f'Freq Map at {cutoff} nm cutoff')\n", " \n", " sns.despine()\n", " plt.tight_layout()\n", "\n", " if save_plots:\n", " filename = f'contact_map_coms_distance_{cutoff}nm_cutoff' + (f\"_{file_suffix}\" if file_suffix != '' else '') + '.pdf'\n", " plot_filename = Path(plots_folder, filename)\n", " print(f\"Saving plots to: {plot_filename}\")\n", " plt.savefig(plot_filename, **plot_opts)\n", " del filename, plot_filename\n", " else:\n", " plt.show()\n", " plt.close()\n", " \n", " freqmap_dict[cutoff] = freqmap\n", "\n", "del cutoff, freq_temp, freqmap, fig, ax" ] }, { "cell_type": "markdown", "id": "a20370fb", "metadata": {}, "source": [ "### Loading the HiC data we will use for comparison" ] }, { "cell_type": "markdown", "id": "d933c9d1", "metadata": {}, "source": [ "\n", "To be able to load properly the HiC matrix we need to know the resolution, the chromosome and where to start and end the matrix. \n", "\n", "We can extract all this data from the info file.\n", "* The resolution is the step size\n", "* The chromosome is the chromosome we are imaging\n", "* The start is the smallest coordinate of the starting coordinates (the start coordinate of the first step)\n", "* The end is the biggest coordinate of the ending coordinates (the ending coordinate of the last step)\n", "\n", "[Back to section index](#proximity-frequency-ensemble-matrix)" ] }, { "cell_type": "code", "execution_count": 11, "id": "0fe2d02d", "metadata": {}, "outputs": [], "source": [ "resolution2use = info_df[info_file_dict[\"column_size\"]].unique()[0]\n", "\n", "chrom2use = info_df[info_file_dict['column_chr']].unique()[0]\n", "\n", "start_walk = info_df[info_file_dict[\"column_start_pos\"]].min()\n", "end_walk = info_df[info_file_dict[\"column_end_pos\"]].max()" ] }, { "cell_type": "markdown", "id": "4eb4f4c1", "metadata": {}, "source": [ "The example shown here is when using hicstraw to extract data from .hic files. If you want to use a cooler, please follow the example of the next cell (uncomment everything on that cell and comment the content of this cell)" ] }, { "cell_type": "code", "execution_count": 12, "id": "6f2129cc", "metadata": {}, "outputs": [], "source": [ "# This HiC corresponds to the one in PLOSGEN NIR,FARABELLA,2018\n", "\n", "# Important!!!!! CIMA does not have hicstraw by default.\n", "try:\n", " import hicstraw\n", "except ImportError:\n", " print(\"\\033[91mWARNING!\\033[0m\")\n", " print(\"hicstraw is not installed. Hi-C related functions will not work. Please install hicstraw if you need Hi-C functionality.\")\n", "\n", "hic = hicstraw.HiCFile(\"/scratch/CIMA_tutorial/data/ENCFF768UBD.hic\")\n", "\n", "chrs_length_hic_dict = {c.name : c.length for c in hic.getChromosomes()}\n", "\n", "if chrom2use not in chrs_length_hic_dict:\n", " try:\n", " chrom2use = chrom2use.replace(\"chr\", \"\")\n", " if chrom2use not in chrs_length_hic_dict:\n", " raise ValueError(f\"Chromosome {chrom2use} not found in Hi-C file. Available chromosomes: {list(chrs_length_hic_dict.keys())}\")\n", " except Exception as e:\n", " print(f\"\\033[91mERROR:\\033[0m Chromosome {chrom2use} not found in Hi-C file. Available chromosomes: {list(chrs_length_hic_dict.keys())}\")\n", " raise e\n", " \n", "resolutions = hic.getResolutions()\n", "\n", "if resolution2use not in resolutions:\n", " try:\n", " resolution2use = resolution2use * 1000\n", " if resolution2use not in resolutions:\n", " raise ValueError(f\"Resolution {resolution2use} not found in Hi-C file. Available resolutions: {resolutions}\")\n", " except Exception as e:\n", " print(f\"\\033[91mERROR:\\033[0m Resolution {resolution2use} not found in Hi-C file. Available resolutions: {resolutions}\")\n", " raise e\n", "\n", "start_walk = int(np.trunc(start_walk / (resolution2use))) * resolution2use\n", "start_walk = np.max([start_walk, 0])\n", "\n", "end_walk = int(np.ceil((end_walk - resolution2use/2) / resolution2use)) * resolution2use - resolution2use\n", "end_walk = np.min([end_walk, [chrom.length for chrom in hic.getChromosomes() if chrom.name == chrom2use][0]])\n", "\n", "selected_hic_map = {}\n", "\n", "selected_hic_map[\"raw_counts\"] = hic.getMatrixZoomData(chrom2use, chrom2use, \"observed\", \"NONE\", \"BP\", resolution2use).getRecordsAsMatrix(start_walk, end_walk, start_walk, end_walk)\n", "selected_hic_map[\"log10_raw_counts\"] = np.log10(selected_hic_map[\"raw_counts\"]+1)\n", "\n", "selected_hic_map[\"normalized_counts\"] = hic.getMatrixZoomData(chrom2use, chrom2use, \"observed\", \"VC\", \"BP\", resolution2use).getRecordsAsMatrix(start_walk, end_walk, start_walk, end_walk)\n", "selected_hic_map[\"log10_normalized_counts\"] = np.log10(selected_hic_map[\"normalized_counts\"]+1)\n", "\n", "del hic, chrs_length_hic_dict, resolutions" ] }, { "cell_type": "markdown", "id": "bdf7444f", "metadata": {}, "source": [ "Example when using cooler. \n", "\n", "This code is not fully tested. There may be errors regarding the chromosome format or the resolution." ] }, { "cell_type": "code", "execution_count": 13, "id": "9b5adb40", "metadata": {}, "outputs": [], "source": [ "# # Important!!!!! CIMA does not have cooler by default.\n", "# try:\n", "# import cooler\n", "# except ImportError:\n", "# print(\"\\033[91mWARNING!\\033[0m\")\n", "# print(\"cooler is not installed. Hi-C related functions will not work. Please install cooler if you need Hi-C functionality.\")\n", "\n", "# cool_file = cooler.Cooler(\"/home/imaceda-iit.local.old/intactHiC/ENCFF768UBD_10kb.cool\")\n", "\n", "# start_walk = int(np.trunc(start_walk / (resolution2use * 1000))) * resolution2use*1000\n", "# start_walk = np.max([start_walk, 0])\n", "\n", "# end_walk = int(np.ceil((end_walk - resolution2use*1000/2) / (resolution2use * 1000))) * resolution2use*1000\n", "# end_walk = np.min([end_walk, cool_file.chromsizes[chrom2use]])\n", "\n", "# selected_hic_map = {}\n", "\n", "# selected_hic_map[\"raw_counts\"] = cool_file.matrix(balance=False).fetch(f\"16:{start_walk}-{end_walk}\")\n", "# selected_hic_map[\"log10_raw_counts\"] = np.log10(selected_hic_map[\"raw_counts\"]+1)\n", "\n", "# selected_hic_map[\"normalized_counts\"] = cool_file.matrix(balance=True).fetch(f\"16:{start_walk}-{end_walk}\")\n", "# selected_hic_map[\"log10_normalized_counts\"] = np.log10(selected_hic_map[\"normalized_counts\"]+1)\n", "\n", "# del cool_file" ] }, { "cell_type": "markdown", "id": "c4b7d070", "metadata": {}, "source": [ "#### Heatmap for the raw counts at the given resolution." ] }, { "cell_type": "markdown", "id": "53b18da0", "metadata": {}, "source": [ "[Back to section index](#proximity-frequency-ensemble-matrix)" ] }, { "cell_type": "code", "execution_count": 14, "id": "0b683bfb", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
    " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = sns.heatmap(data = selected_hic_map[\"log10_raw_counts\"], cmap=\"bright_red\", square=True,\n", " vmax=np.nanquantile(selected_hic_map[\"log10_raw_counts\"], 0.95),\n", " cbar_kws={\"shrink\": 0.8, \"label\": \"log10(raw counts)\"},\n", " xticklabels=list(tp_names.values()), \n", " yticklabels=list(tp_names.values()))\n", "\n", "plt.setp(g.get_xticklabels(), rotation=45, ha='right')\n", "plt.title(f\"Hi-C log10(raw counts @{resolution2use:,}kb)\\n(chr{chrom2use}:{start_walk:,}-{end_walk:,})\")\n", "\n", "if save_plots:\n", " filename = f'hi_c_raw_counts_{start_walk}_{end_walk}' + (f\"_{file_suffix}\" if file_suffix != '' else '') + '.pdf'\n", " plot_filename = Path(plots_folder, filename)\n", " print(f\"Saving plots to: {plot_filename}\")\n", " plt.savefig(plot_filename, **plot_opts)\n", " del filename, plot_filename\n", "else:\n", " plt.show()\n", "\n", "plt.close()\n", "\n", "del g" ] }, { "cell_type": "markdown", "id": "166c2b9c", "metadata": {}, "source": [ "#### Heatmap for the normalized counts at the given resolution." ] }, { "cell_type": "markdown", "id": "8825bba5", "metadata": {}, "source": [ "[Back to section index](#proximity-frequency-ensemble-matrix)" ] }, { "cell_type": "code", "execution_count": 15, "id": "ac35a3a4", "metadata": {}, "outputs": [ { "data": { "image/png": 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MjLgvmaKiIpSXl6NDhw4y5Tp16oTnz5/j5s2b6Ny5M7e/5r1Wa9u2LfclW83AwABmZmYy+wBIfdE9fvwYMTExWL9+PW7fvi11Pw8ePJB7vVd59uwZPvzwQ1RVVcn843316lWcO3cOxsbGcs+9e/cugBc/XxMTE5nh1PLeL3lyc3Ph7e1dZ5m///4b7du3l2nir/lZU5S2trbM/b38s6+LUCjE4sWLMWvWLLRu3Rp9+vSBp6cn/P39IRaL6zz31KlT+O9//wvgxedy7dq1WL16Nfz9/QEAI0eORMeOHaXOad269SvnxJg1axbWrFmD33//HX369AHw4vegPr8nr/qdqvn7VJMi5/NVpydPnmD48OHo0aMH/ve//0FDQ/7Xj42Njczvoa2tLYAX8+e8/POr/j2rWZ68nSgheU1u3rwp80V44MABDBgwAKampsjOzm6kmqmeiYkJAKCgoEDmWEFBAZo3b859ubZo0QLAiy/3tm3bypSX15IB1J7A1Edt/3jXdq361GHq1KlYv349ZsyYAWdnZxgYGEAgEMDPz0/pIb2zZ8/G0aNH8fvvv8u8N8+fP4ebmxvmzJkj99zqf8DfJLV9aVRVVcndX9v7Xl8zZszAiBEjkJqair179yIsLAwxMTH4448/4ODgUOt5xcXF3PDc6oS3Z8+e3HENDQ2ZPk83b97kPsu1qU5s7927x+0zMTHB7du3ZcpW/+5U1+NVv1PyhhO/7OXzaybYBQUFXJ+V6rK1Xae2Or0qJvAiSXz//fexfft27Nmzp14ToL1KdXLasmXLBscijY8e2bwmYrFY5jFPt27dAACenp7Izc3F0aNHVXY9CwsL5Ofny7S8XLp0iTte/d/nz5/j+vXrUuWuXbum9LXbtGkDY2NjuZPIHT9+HN27d+deV/+lWfP69WVsbAxdXV1cvnxZ5tilS5egpqYm848lH7Zs2YKAgADExcXBx8cHbm5ucHV1RUlJiVLxkpOTsWzZMq4zZ03W1tYoKyvDkCFD5G7VLUsWFhYoKCiQmTxL3vslj7W19SuTZQsLC1y9elUm8ar5WatuXq/5nijbggK8+i9ja2trzJo1C/v27UN2djYqKysRFxdX5zn6+vpcq1aLFi2gqamJ3NxcqTIvPzbavXs37t+/D2dn5zrjVp/zcqtP9+7dceXKFZnHitWdsat/V7p06QINDQ2Z36nKykqcPXtW6ndKnurjNc/Pz8/HrVu3pM7v3r07Tp8+LfPzPHbsGHR1dblkV5GYwIuf1caNGzF48GD4+vrWOo/RtWvXZP7gqO5IW3NG4+vXr6Nly5a1thSStwslJK+Jtra2zJdG9T/Qc+bMQbNmzRAUFITCwkKZc3NzcxUerfD++++jqqoKq1atktofHx8PgUCAYcOGAQA3euPl/gkApJ6RK8Pb2xs7d+7EzZs3uX1paWm4cuUKfH19uX09evSAlpZWrTPgvoq6ujqGDh2K7du348aNG9z+wsJCbNq0Ca6urjIjGPigrq4u84/oypUra/3rvy7Z2dkICgrCxx9/jOnTp8st8+GHH+Lo0aPYu3evzLGSkhJupsz3338fz549k5qkqqqqqt4/X29vb2RlZWHbtm0yx6rv9/3338edO3fw888/c8eePXuGlStXQiQScQmVhYUF1NXVuf4t1Wp+9hShq6sLQDbJKS8v5x4xVLO2toaenp7cRwwv69SpE5cQqKurY8SIEZg1axb+/PNPXL9+HRERETh9+jQePnyI9evXY8yYMQgLC+M+Z6WlpTLXYIwhOjoawP//zgGAj48PqqqqpCY9rKiowPr169G7d28umTYwMMCQIUPw008/Sf2R8eOPP6KsrEzqd0qezp07o2PHjvj++++lPpOrV6+GQCCAj4+PVJ0KCwuxdetWbt8///yDlJQUjBgxgmvdVCRmNS0tLWzduhU9e/bEiBEjcPz4cZky+fn5Up+30tJSbNiwAd27d5d53Hbq1KlXJoLk7UGPbN4A1tbW2LRpEz766CN06tRJaqbWI0eOICUlReE1cUaMGIGBAwdi/vz5uHHjBrp164Z9+/Zh+/btmDFjBtdRtEePHvD29sayZctQXFyMPn364ODBg9xfJDX/Al21ahVKSkqQn58P4MWQ5erhn1OnTuX6V4SGhiIlJQUDBw7E9OnTUVZWhiVLlqBr16745JNPuHja2toYOnQofv/9d0RGRir1/kVHR2P//v1wdXXF5MmToaGhgYSEBFRUVCA2NlapmIry9PTEjz/+CAMDA9jZ2XGPWl7VjC9P9fvTr18//PTTT1LH+vbtCysrK8yePRs7duyAp6cnAgMD0aNHDzx69Ajnz5/Hli1bcOPGDbRs2RIjRoyAi4sL5s2bhxs3bsDOzg5bt26td7+W2bNnY8uWLfD19cX48ePRo0cP3Lt3Dzt27MB3332Hbt26YeLEiUhISEBgYCBOnToFS0tLbNmyBYcPH8ayZcu4fkwGBgbw9fXFypUrIRAIYG1tjZ07d3L9XZSho6MDOzs7/Pzzz7C1tUXz5s3RpUsXPHv2DIMHD8aHH34IOzs7aGhoYNu2bSgsLJTquCyPp6cn1q1bhylTpkAgECA+Ph5Dhw7lEit7e3vunv/8809ERkZKdR4/ffo0xowZgzFjxsDGxgaPHz/Gtm3bcPjwYUycOFHqcU/v3r3h6+uLkJAQ3L17FzY2NkhKSsKNGzewbt06qXotXLgQffv2Rf/+/TFx4kTcunULcXFxGDp0qMyU9AKBAP3795dqhViyZAlGjhyJoUOHws/PD9nZ2Vi1ahWCgoK4/j7Ai4SkT58++OSTT5CTk8PN1FpVVcXNiqtozJo/s507d2LQoEEYNmwYDh48KLXshq2tLSZMmIATJ06gdevW+OGHH1BYWIj169dLxbl79y7OnTuHKVOm1PXjJG+TRhrd89bhc2K0aleuXGHBwcHM0tKSaWlpMT09Pebi4sJWrlwpMzyuJnlDRx8+fMi++OILZmpqyjQ1NVn79u3lToz26NEjNmXKFNa8eXMmEonYqFGj2OXLlxkAtmjRIpl7Qi3DnmtOOJWdnc2GDh3KdHV1maGhIRs7diy7c+eOTN23bt3KBAKBzPBB/DsxWk3y3tfTp08zd3d3JhKJmK6uLhs4cCA7cuSIVJm6foa1zaxZ28yRNet2//599sknn7CWLVsykUjE3N3d2aVLl2TqWp9hv3W9xy8PjX348CELCQlhNjY2TEtLi7Vs2ZL17duXff3116yyspIrV1xczMaNG8dNjDZu3DiFJkYrLi5mn3/+OTfBWNu2bVlAQAD7559/uDKFhYXc/WtpabGuXbvKjV1UVMS8vb2Zrq4uMzIyYp9++inLzs6udWK0miIiIljNf7aOHDnCevTowbS0tLghwP/88w+bMmUK69ixI2vWrBkzMDBgvXv3Zv/73/9eeb/3799nBgYGUrMjP336lB07doydOnWKVVVVsRs3brBz587JDB9n7MXMy76+vszS0pJpa2szXV1d1qNHD/bdd9/J/O4x9mJywP/+979MLBYzoVDIevbsyQ2trSkjI4P17duXaWtrM2NjYzZlyhSp4caMvfhcAGB+fn4y52/bto11796dCYVC1rZtW/bll19KfVaq3bt3j02YMIG1aNGC6erqsv79+9f6b199Ysr7ef7zzz/Mzs6OicVidvXqVcaY9MRo9vb2TCgUso4dO0rNGltt9erVTFdXV+b+ydtLwFgDegeSd9bZs2fh4OCAn376CWPHjuX1WlVVVbCzs8OHH36IqKgoXq9FSH3873//w9ixY7Fy5UqZocfV8vLycOvWLZVOaKgKv/32Gzw9PZGVlYWuXbs2dnV44+DggAEDBiA+Pr6xq0JUhPqQELnzBSxbtgxqamro168f79dXV1dHZGQkvvnmG4VWLiWELx9++CG+/fZbTJ06Fe+99x6SkpKQk5ODvLw8ZGRk4L///S86d+6MZcuWNXZVZRw4cAB+fn7vdDKyZ88eXL16FSEhIY1dFaJC1EJCIJFIcOrUKQwcOBAaGhrYvXs3du/ezT0nJ6SpOn/+PMLCwrBnzx6pjqq2traYNWsWgoKC6r2iNyGkbpSQEOzfvx8SiQQ5OTkoKyuDubk5xo0bh/nz59c6eREhTcmjR49w5coVlJWVoW3btrVOrkcIUR4lJIQQQghpdNTWSAghhJBGRwkJIYQQQhodJSRNQGxsLDp27KjQmioCgQCff/45j7UihDS2efPmSa1kTUhjooTkHVdaWorFixdj7ty5r300wJ9//omRI0fCzMwM2traEIvF8PDwwOHDh+sdY/Xq1fD19YW5uTkEAkGtM9YmJiZCIBDI3WouWQ4AO3bsgKOjI7S1tWFubo6IiAhuuvX6WLduHTp16gRtbW20b9++1qnYb9++jQ8//BCGhobQ19eHl5eX1DooysSU5/nz54iNjUW7du2gra0Ne3t7bN68WW7ZixcvwsPDAyKRCM2bN8e4cePkrlSrSEx59u3bhwkTJqBLly5QV1eXWYek2o0bN2r92SUnJ0uVra2cQCCAm5vbK+s0YMAAuefWnOkUeDGF+9y5c2FqagodHR307t0b+/fvlxv3yJEjcHV1ha6uLsRiMaZNm6bQEPb6fh5LSkowceJEGBsbo1mzZhg4cCBOnz6tdMwZM2YgKysLO3bsqHddCeELDaF4x/3www949uwZxowZ89qvfeXKFaipqeGzzz6DWCzG/fv38dNPP6Ffv37YtWuX3C+BmhYvXoyHDx+iV69eclcgrSkyMlJmBIShoaHU6927d2PUqFEYMGAAVq5cifPnzyM6Ohp3796VWvOlNgkJCfjss8/g7e2NmTNnIiMjA9OmTUN5eTnmzp3LlSsrK8PAgQPx4MEDhIaGQlNTE/Hx8ejfvz/Onj0rNa18fWPWZv78+Vi0aBGCg4PRs2dPbN++Hf/5z3+4FYer3bp1C/369YOBgQG++uorlJWV4euvv8b58+dx/PhxaGlpKRyzNps2bcLPP/8MR0fHV65GCwBjxozB+++/L7Wv5jolP/74o8x5J0+exPLlyzF06NBXXgMA2rZti5iYGKl98uoXGBiILVu2YMaMGWjfvj0SExPx/vvv48CBA3B1deXKnT17FoMHD0anTp2wdOlS3Lp1C19//TWuXr2K3bt3v7I+9f08Pn/+HMOHD0dWVhZmz57NTek+YMAAnDp1Cu3bt1c4plgshpeXF77++muMHDmyXu8fIbxpvEliyetgb2/PPv74Y4XPQy3TttdHWVlZrccePXrEWrduzdzd3esV68aNG9x0282aNat1Kv5XTe3/Mjs7O9atWzf29OlTbt/8+fOZQCBgFy9erPPc8vJy1qJFC5np5MeOHcuaNWvG7t27x+1bvHgxA8COHz/O7bt48SJTV1dnISEhSsWU59atW0xTU1Pq5/X8+XP23nvvsbZt20pNbz5p0iSmo6PD/v77b27f/v37GQCWkJCgVMza3L59m5tCfPjw4TJLG1S7fv06A8CWLFnyypjyTJgwgQkEAnbz5s1Xlq1tiYCajh07JlOnx48fM2tra+bs7CxVdtiwYczExIQ9ePCA27dmzRoGgO3du/eV16rv5/Hnn39mAKSmUb979y4zNDRkY8aMUSomY4xt2bKFCQQClpub+8q6EsInSkjeYX/99RcDwBITE6X2V1VVsWXLlrEuXbowoVDIWrZsydzd3aW+zKsTkm3btrHOnTszLS0tZmdnx3bv3i0Vq3ptkQsXLrAxY8YwQ0ND1r179zrr1aVLF9a7d2+pfUVFRezixYvs0aNHtZ5X34SktLS01i/MCxcuMADsm2++kdp/+/ZtBoBFRUXVWfddu3YxAGzXrl1S+48cOcIAsB9//JHb17NnT9azZ0+ZGEOHDmXW1tZKxZTnm2++4X4GL9u0aRMDwDIyMrh9rVq1Yr6+vjIxbG1t2eDBg5WKWR/1TUjKyspYRUVFveM+efKEGRoasgEDBtSrfHVC8vTpU/bw4cNay82ePZupq6tLJRmMMfbVV18xANy6Sw8ePGAaGhps9uzZUuUqKiqYSCRiEyZMqLM+inwefX19WevWrVlVVZVU2YkTJzJdXV1uvStFP+MlJSVMIBCwpUuX1llXQvhGfUjeYUeOHAEAqdVFAWDChAmYMWMGzMzMsHjxYsybNw/a2trIzMyUKnfo0CFMnjwZfn5+iI2NxZMnT+Dt7Y3i4mKZa/n6+qK8vBxfffUVgoODpY6Vlpbin3/+waVLlxAaGors7GwMHjxYqsyqVavQqVMnucuRK2LgwIHQ19eHrq4uRo4ciatXr0odP3PmDADAyclJar+pqSnatm3LHa9Nbef36NEDampq3PHnz5/j3LlzMuUAoFevXsjNzeWWka9vzLrq1KxZM5nVVXv16iUV//bt27h7926tdXr5OvWNqUoSiQQikQja2tro2bMn9u3b98pzfvvtN5SUlCi03tKVK1fQrFkz6OnpQSwWIywsDE+fPpUqc+bMGdja2kJfX19qf/X9nz17FsCLmVyfPXsm855qaWmhe/fuSn+e5H0ez5w5A0dHR5m+YL169UJ5eTm3Qrein3EDAwNYW1sr1LeLED5QH5J32KVLlwBAqk/FgQMHkJiYiGnTpmH58uXc/lmzZoHVmCPv4sWLyMnJgbW1NYAXX/bdunXD5s2bZUbgdOvWDZs2bZJbjw8//BB79+4F8OIf6k8//RRhYWENv8GX6OrqIjAwkEtITp06haVLl6Jv3744ffo0zMzMAIDrh2JiYiITw8TEBPn5+XVep6CgAOrq6mjVqpXUfi0tLbRo0YI7/969e6ioqKj1OgCQn5+PDh061DtmXXVq3bo1BAJBrdepLvfy/pplq+ssFArrHVMV1NTUMHToUIwePRpt2rTBX3/9haVLl2LYsGHYsWMHhg8fXuu5GzduhFAohI+PT72uZW1tjYEDB6Jr16549OgRtmzZgujoaFy5cgU///wzV66goOCVP7vqci/vr1k2IyOjzvoo8nksKCiQu7bUy3Xq2rWrUp9xKysr5OTk1FlXQvhGCck7rLi4GBoaGhCJRNy+X375BQKBABERETLla375DBkyhEtGAMDe3h76+vpyR4nUtiIqACxatAizZs3CzZs3kZSUhMrKSpne/gsWLMCCBQvqe2syPvzwQ3z44Yfc61GjRsHd3R39+vXDwoUL8d133wH4/4UEhUKhTAxtbW2UlpbWeZ3Hjx9LdfyseX51/Fdd5+Uy9Y1ZV53qe5361EkoFNY7piqYm5tzCWu1cePGwc7ODrNmzao1ISktLcWuXbvw/vvvy3Rcrs26detkrjNx4kSsWbMGX3zxBfr06QNAde9pfX52dZ3/8udRVXWS9xk3MjLipdWLEEXQI5smJjc3F6ampmjevPkry5qbm8vsMzIywv3792X217W2R/fu3eHm5obx48dj//79OH78eK3Dd1XJ1dUVvXv3xu+//87t09HRAQCphdKqPXnyhDteGx0dHVRWVso99vL5r7rOy2XqG7OuOtX3OorUqT7lHjx4gDt37nDbvXv36qxrfTVv3hyffPIJLl++jFu3bskt88svv+DJkycKPa6RZ9asWQAg8zlRxXtan59dfc/ns06MMZk/SAh53SgheYe1aNECz5494/oqKEpdXV3u/pqPdgC88h/ealpaWhg5ciS2bt2q0r+ya2NmZib1JVndjC1vCHFBQcErh6eamJigqqoKd+/eldpfWVmJ4uJi7vzmzZtzjz7kXQf4/6Gm9Y1ZV53u3Lkj83ORd52X99csW11nRWJOnz4dJiYm3PbBBx/UWVdFVD9mqy3J2bhxIwwMDODp6any65iYmNT7Z/fy/ppl6/Ozq+/5fNbp/v37aNmyZZ11JYRvlJC8wzp27AgAuH79OrfP2toa+fn5KvtLVhmPHz8GY0zpREkRf/31F4yNjbnX3bt3B/Bi7oqX5efn49atW9zx2tR2/smTJ/H8+XPuuJqaGrp27SpTDgCOHTsGKysr6OnpKRSzrjqVl5fj4sWLMtd5OX6bNm1gbGwst07Hjx+Xuk59Y86ZMwf79+/ntri4uDrrqojqR4Mv//yqFRQU4MCBA/D29pb7aKKh1+nevTuuXLki83ij5v136dIFGhoaMu9pZWUlzp49q/TnSd7nsXv37jh9+rTMjMvHjh2Drq4ubG1tFY5Z7fr16zIdmAl57RpziA/hV25uLgPA1q1bx+37448/GAA2bdo0mfLV830wVvs8JBYWFlJDb6uH/RYVFcmULSwslNl3//59ZmZmxszMzKT2N3TY7927d2X2VQ+nrXmvHTt2ZN26dZMaGvzll18ygUDAcnJyar0+Yy/mDGnevDnz9PSU2v/xxx8zXV1dVlxczO1btGiRzNwoly5dYurq6mzu3LlKxZTn5s2btc4Z0qZNG6n7/Oyzz5iOjg43bJUxxn7//XcGgK1evVqpmPVR17BfeT+7W7duMSMjI2Zvby/3nKVLlzIALC0trd51ePDgATc0ttrz58/ZRx99xACwU6dOcfszMzNl5iF58uQJs7GxkRmy7uHhwUxMTFhpaSm3b+3atQyAzDB5eer7eUxOTpaZh6SoqIgZGhqyjz76SKmYjP3/sN+4uLhX1pUQPlFC8o7r0qWLzKRJ48aNYwDYsGHD2PLly1l8fDz74IMP2MqVK7kyqkhIHB0d2ciRI9nChQvZmjVrWFhYGGvbti1TU1OT+kf15TgHDhyQ2r9jxw4WFRXFoqKimJaWFnNwcOBeZ2VlceVsbGyYr68vW7x4Mfvuu+/YxIkTmYaGBjMzM2N37tyRivnrr78ygUDABg0axL7//ns2bdo0pqamxoKDg6XKVc+PUTMJqp6jw8fHh61Zs4b5+/szAGzhwoVS5UpLS5m1tTVr1aoVi42NZfHx8czMzIyZmprKfAnXN+aBAwcYABYRESG1f/bs2QwAmzhxIluzZg0bPnw4A8A2btwoVS4vL4+1aNGCWVtbsxUrVrCvvvqKGRkZsa5du8p8Wdc3Zm2ysrK4n1WHDh2YoaEh93rHjh1cucDAQPbee++xBQsWsO+//56FhoayFi1aMC0tLZnPQ7UePXowU1NTmTk5XmZhYSGVBB04cICJxWL2xRdfsG+++YZ9/fXXzMXFhbvHmnx9fbk5RhISEljfvn2ZhoYGO3jwoFS5U6dOMaFQyBwcHNjq1avZ/Pnzmba2Nhs6dKhMTACsf//+Uvvq+3l89uwZ69OnDxOJREwikbBvvvmGde7cmenp6bFLly4pFZOxFxOjAWDXrl2r9b0k5HWghOQdt3TpUiYSiVh5eTm379mzZ2zJkiWsY8eOTEtLixkbG7Nhw4ZJ/YWoioRk1apVzNXVlbVs2ZJpaGgwY2NjNmLECPbnn3/KlK0tIQkICGAA5G7r16/nys2fP591796dGRgYME1NTWZubs4mTZokk4xU27ZtG+vevTsTCoWsbdu27Msvv+RmFa12/vx5BoDNmzdP5vzvv/+edejQgWlpaTFra2sWHx8v1cJU7ebNm8zHx4fp6+szkUjEPD092dWrV+XWqT4xf/31VwaAfffdd1L7q6qq2FdffcUsLCyYlpYW69y5M/vpp5/kXic7O5sNHTqU6erqMkNDQzZ27Fi575MiMeWpnqxO3vbyZ2jTpk2sX79+zNjYmGloaLCWLVuy0aNHS30eX3bp0iUGgM2cObPO67ds2ZL16dOHe/3XX38xX19fZmlpybS1tZmuri7r0aMH++677+T+7B4/fsz++9//MrFYzIRCIevZsyfbs2eP3GtlZGSwvn37Mm1tbWZsbMymTJki1WLCGGMPHz5kAJifn5/M+fX5PDLG2L1799iECRNYixYtmK6uLuvfv3+tsxPXN+ZHH33EXF1d5cYg5HWihOQdV1JSwpo3b87Wrl3b2FV563zzzTesWbNmtSY1jWH27Nmsbdu2Mq0ZRFr1bKU7d+5s7Kpwdu3axQQCATt37lxjV4VTUFDAtLW1WWpqamNXhRCaqfVdZ2BggDlz5mDJkiUyneFI3Q4cOIBp06ahdevWjV0VzoEDBxAWFtbgjpzvugMHDsDZ2bnOSdVetwMHDsDPzw9du3Zt7Kpwli1bhq5du8LLy6uxq0IIBIzJGcNJCCGEEPIaUQsJIYQQQhodJSSEEEIIaXSUkBBCCCGk0VFCQgghhJBGRwkJIYQQQhqdRmNX4I3E56qXrq78xW7gImN1qufy7kpp25a/2ABgZcVfbAMD/mL/u6w8L4yM+Iudn89fbD5/N+WsjqsyVVX8xeaTri6/8fX1+YstEvEXm/CCWkgIIYQQ0ugoISGEEEJIo6OEhBBCCCGNjhISQgghhDQ6SkgIIYQQ0uh4SUiKioowadIkmJubQygUQiwWw93dHYcPHwYACAQCpKam8nFpLFy4EH379oWuri4M+RwZQgghhBCV4WXYr7e3NyorK5GUlAQrKysUFhYiLS0NxcXFfFxOSmVlJXx9feHs7Ix169bxfj1CCCGENJzKW0hKSkqQkZGBxYsXY+DAgbCwsECvXr0QEhKCkSNHwtLSEgAwevRoCAQC7jUAbN++HY6OjtDW1oaVlRUkEgmePXvGHRcIBFi9ejWGDRsGHR0dWFlZYcuWLVLXl0gk+OKLL96oJb4JIYQQUjeVJyQikQgikQipqamokDPR0IkTJwAA69evR0FBAfc6IyMD/v7+mD59OnJycpCQkIDExEQsXLhQ6vywsDB4e3sjKysLY8eOhZ+fHy5evKjq2yCEEELIa6TyhERDQwOJiYlISkqCoaEhXFxcEBoainPnzgEAjI2NAQCGhoYQi8Xca4lEgnnz5iEgIABWVlZwc3NDVFQUEhISpOL7+voiKCgItra2iIqKgpOTE1auXKl0fSsqKlBaWiq18ThfIyGEEELk4KVTq7e3N/Lz87Fjxw54eHggPT0djo6OSExMrPWcrKwsREZGci0sIpEIwcHBKCgoQHl5OVfO2dlZ6jxnZ+cGtZDExMTAwMBAaotROhohhBBClMHbWjba2tpwc3ODm5sbwsLCEBQUhIiICAQGBsotX1ZWBolEgg8++EBuLL6EhIRg5syZUvuEfK5PQgghhBAZr21xPTs7O26or6amJqpqLDbl6OiIy5cvw8bGps44mZmZ8Pf3l3rt4OCgdL2EQiGEQqHS5xNCCCGk4VSekBQXF8PX1xfjx4+Hvb099PT0cPLkScTGxsLLywsAYGlpibS0NLi4uEAoFMLIyAjh4eHw9PSEubk5fHx8oKamhqysLGRnZyM6OpqLn5KSAicnJ7i6umLjxo04fvy41PDevLw83Lt3D3l5eaiqqsLZs2cBADY2NhDR6o+EEELIG0nlCYlIJELv3r0RHx+P3NxcPH36FGZmZggODkZoaCgAIC4uDjNnzsSaNWvQpk0b3LhxA+7u7ti5cyciIyOxePFiaGpqomPHjggKCpKKL5FIkJycjMmTJ8PExASbN2+GnZ0ddzw8PBxJSUnc6+rWkwMHDmDAgAGqvl1CCCGEqICAMcYauxL1JRAIsG3bNowaNYrvC/EX29WVv9ienvzF5nPW27Zt+YsNAFZW/MXms78Rj32nYGTEX+z8fP5i8/m7KWeaApWp8Yj6raGry298fX3+YlOL+FuH1rIhhBBCSKOjhIQQQgghje61jbJRhbfo6RIhhBBCFEAtJIQQQghpdJSQEEIIIaTRUUJCCCGEkEb3VvUheW34HJp76BB/sfkcJmpry1/se/f4iw0AL62FpHKtWvEX+9kz/mKLxfzF5vNzyGc/Mk1N/mLzOQRVXZ2/2HzPYq1GfxOT/0efBkIIIYQ0OkpICCGEENLoKCEhhBBCSKOjhIQQQgghjY4SEkIIIYQ0Ol4SkqKiIkyaNAnm5uYQCoUQi8Vwd3fH4cOHAbxYJC81NVXl171x4wYmTJiAdu3aQUdHB9bW1oiIiEBlZaXKr0UIIYQQ1eFl2K+3tzcqKyuRlJQEKysrFBYWIi0tDcXFxXxcjnPp0iU8f/4cCQkJsLGxQXZ2NoKDg/Ho0SN8/fXXvF6bEEIIIcoTMBUvEFNSUgIjIyOkp6ejf//+MsctLS3x999/c68tLCxw48YNAMD27dshkUiQk5MDU1NTBAQEYP78+dDQeJE3CQQCfPvtt9ixYwfS09NhYmKC2NhY+Pj41FqfJUuWYPXq1fjrr7/qfxPvvVf/soricx6SIUP4i83nPCRt2/IXGwBsbPiLTfOQyKJ5SGTp6vIXm+YhkU9Hh7/YhBcq/zSIRCKIRCKkpqaioqJC5viJEycAAOvXr0dBQQH3OiMjA/7+/pg+fTpycnKQkJCAxMRELFy4UOr8sLAweHt7IysrC2PHjoWfnx8uXrxYa30ePHiA5s2bq/AOCSGEEKJqKk9INDQ0kJiYiKSkJBgaGsLFxQWhoaE4d+4cAMDY2BgAYGhoCLFYzL2WSCSYN28eAgICYGVlBTc3N0RFRSEhIUEqvq+vL4KCgmBra4uoqCg4OTlh5cqVcuty7do1rFy5Ep9++qmqb5MQQgghKsRLe5m3tzfy8/OxY8cOeHh4ID09HY6OjkhMTKz1nKysLERGRnItLCKRCMHBwSgoKED5S1N/Ozs7S53n7Owst4Xk9u3b8PDwgK+vL4KDg2u9bkVFBUpLS6W2iufPFb9pQgghhCiNtwd42tracHNzQ1hYGI4cOYLAwEBERETUWr6srAwSiQRnz57ltvPnz+Pq1avQVvCZdH5+PgYOHIi+ffvi+++/r7NsTEwMDAwMpLaYmzcVuh4hhBBCGua1zUNiZ2eHR48eAQA0NTVRVVUlddzR0RGXL1+GjY2NzKb2UsenzMxMqfMyMzPRqVMn7vXt27cxYMAA9OjRA+vXr5c6V56QkBA8ePBAagsxM2vo7RJCCCFEASof9ltcXAxfX1+MHz8e9vb20NPTw8mTJxEbGwsvLy8AL0bapKWlwcXFBUKhEEZGRggPD4enpyfMzc3h4+MDNTU1ZGVlITs7G9HR0Vz8lJQUODk5wdXVFRs3bsTx48exbt06AP+fjFhYWODrr79GUVERd564llEFQqEQwpo9yWkFSkIIIXURCJQ/l8/RYm8xlSckIpEIvXv3Rnx8PHJzc/H06VOYmZkhODgYoaGhAIC4uDjMnDkTa9asQZs2bXDjxg24u7tj586diIyMxOLFi6GpqYmOHTsiKChIKr5EIkFycjImT54MExMTbN68GXZ2dgCA/fv349q1a7h27Rra1hhKquLRzYQQQpqyhiQkRC6Vz0PCJ4FAgG3btmHUqFH8XojmIZFF85DIR/OQyKJ5SGTRPCTyvc3zkDTkfa/RZYG8wMtMrYQQQsg7jVpIVI4SEkIIIURRlJCo3FuVkLxFT5cIIYQQooC3KiEhhBBC3gjUQqJylJAQQgghiqKEROUoISGEEEIURQmJylFCIo+nJ3+x+RwS+fvv/MUuLOQvtqsrf7EBgM+Zd5884S92s2b8xeZzSGRpKX+x+Ryay+cXDJ9DuPkcQsp3vz0+P+N8o4RE5SghIYQQQhRFCYnKUUJCCCGEKIoSEpWjRVsIIYQQ0uiohYQQQghRFLWQqBwlJIQQQoiiKCFROV4e2RQVFWHSpEkwNzeHUCiEWCyGu7s7Dh8+DODFInmpqal8XBojR46Eubk5tLW1YWJignHjxiE/P5+XaxFCCGmiBALlNyIXLy0k3t7eqKysRFJSEqysrFBYWIi0tDQUFxfzcTkpAwcORGhoKExMTHD79m3897//hY+PD44cOcL7tQkhhDQRlFionMpbSEpKSpCRkYHFixdj4MCBsLCwQK9evRASEoKRI0fC0tISADB69GgIBALuNQBs374djo6O0NbWhpWVFSQSCZ69NH5fIBBg9erVGDZsGHR0dGBlZYUtW7ZIXf+LL75Anz59YGFhgb59+2LevHnIzMzE06dPVX2rhBBCmipqIVE5lSckIpEIIpEIqampqKiokDl+4sQJAMD69etRUFDAvc7IyIC/vz+mT5+OnJwcJCQkIDExEQsXLpQ6PywsDN7e3sjKysLYsWPh5+eHixcvyq3LvXv3sHHjRvTt2xeafE6oRAghpGmhhETlVJ6QaGhoIDExEUlJSTA0NISLiwtCQ0Nx7tw5AICxsTEAwNDQEGKxmHstkUgwb948BAQEwMrKCm5uboiKikJCQoJUfF9fXwQFBcHW1hZRUVFwcnLCypUrpcrMnTsXzZo1Q4sWLZCXl4ft27er+jYJIYQ0ZZSQqBwvnVq9vb2Rn5+PHTt2wMPDA+np6XB0dERiYmKt52RlZSEyMpJrYRGJRAgODkZBQQHKy8u5cs7OzlLnOTs7y7SQzJ49G2fOnMG+ffugrq4Of39/sFqmQK6oqEBpaanUVsHnNM+EEEIIkcHbxGja2tpwc3NDWFgYjhw5gsDAQERERNRavqysDBKJBGfPnuW28+fP4+rVq9BWcP2Xli1bwtbWFm5ubkhOTsZvv/2GzMxMuWVjYmJgYGAgtcUcOKDQ9QghhDQx1EKicq9tplY7Ozs8evQIAKCpqYmqGgtCOTo64vLly7CxsZHZ1NT+v5o1E4vMzEx06tSp1us+f/4cAOT2ZwGAkJAQPHjwQGoLGThQqXskhBDSRFBConIqT0iKi4sxaNAg/PTTTzh37hyuX7+OlJQUxMbGwsvLCwBgaWmJtLQ03LlzB/fv3wcAhIeHY8OGDZBIJLhw4QIuXryI5ORkfPnll1LxU1JS8MMPP+DKlSuIiIjA8ePH8fnnnwMAjh07hlWrVuHs2bP4+++/8ccff2DMmDGwtraWedRTTSgUQl9fX2oTatB8cYQQQurQSAnJokWLIBAIMGPGjFrLDBgwAAKBQGYbPnw4VyYwMFDmuIeHR4Pq1lAq/+YViUTo3bs34uPjkZubi6dPn8LMzAzBwcEIDQ0FAMTFxWHmzJlYs2YN2rRpgxs3bsDd3R07d+5EZGQkFi9eDE1NTXTs2BFBQUFS8SUSCZKTkzF58mSYmJhg8+bNsLOzAwDo6upi69atiIiIwKNHj2BiYgIPDw98+eWXEAqFqr5VQgghTVUjtHScOHECCQkJsLe3r7Pc1q1bUVlZyb0uLi5Gt27d4OvrK1XOw8MD69ev51439vekyhMSoVCImJgYxMTE1FpmxIgRGDFihMx+d3d3uLu71xnf1NQU+/btk3usa9eu+OOPPxSrMCGEEKKo15yQlJWVYezYsVizZg2io6PrLNu8eXOp18nJydDV1ZVJSKpnUn9T0Gq/hBBCiKIa8MhG7ujOWvo5VpsyZQqGDx+OIUOGKFzVdevWwc/PD82aNZPan56ejlatWqFDhw6YNGnSa5lNvS6UkBBCCCGvkdzRnXU8VUhOTsbp06frLFOb48ePIzs7W6b7g4eHBzZs2IC0tDQsXrwYBw8exLBhw2QGnLxOb1XvzdrmEiGEEEJeqwY8sgkJCcHMmTOl9tXWf+PmzZuYPn069u/fr/AUGMCL1pGuXbuiV69eUvv9/Py4/+/atSvs7e1hbW2N9PR0DB48WOHrqAK1kBBCCCGKasAjG7mjO2tJSE6dOoW7d+/C0dERGhoa0NDQwMGDB7FixQpoaGjU2aLx6NEjJCcnY8KECa+8HSsrK7Rs2RLXrl1T+i1pqLeqhYQQQgh5I7ymTq2DBw/G+fPnpfZ98skn6NixI+bOnQt1dfVaz01JSUFFRQU+/vjjV17n1q1bKC4uhomJSYPrrCxKSAghhBBFvaaERE9PD126dJHaV71WW/V+f39/tGnTRqaPybp16zBq1Ci0aNFCan/1zOje3t4Qi8XIzc3FnDlzYGNj88qRrnyihEQeQ0P+Ytva8he7sJC/2DUydJXieyXm9u35i83nuH0tLf5i8/meP3jAX2xdXf5iN2JnvgZR4/HJ+9On/MUGACX6RLwx3qAZV/Py8qRmNAeAy5cv49ChQ3KnyVBXV8e5c+eQlJSEkpISmJqaYujQoYiKimrUuUgoISGEEEIU1YgJSXp6ep2vAaBDhw61DgTR0dHB3r17eahZw1BCQgghhCjqDWoheVfQKBtCCCGENDpqISGEEEIURS0kKkcJCSGEEKIoSkhUjpdHNkVFRZg0aRLMzc25xXvc3d1x+PBhAIBAIEBqaiofl+ZUVFSge/fuEAgEOHv2LK/XIoQQ0sQ0YGI0Ih8vLSTe3t6orKxEUlISrKysUFhYiLS0tNe6cM+cOXNgamqKrKys13ZNQgghTQQlFiqn8haSkpISZGRkYPHixRg4cCAsLCzQq1cvhISEYOTIkbC0tAQAjB49GgKBgHsNANu3b4ejoyO0tbVhZWUFiUSCZ8+ecccFAgFWr16NYcOGQUdHB1ZWVtiyZYtMHXbv3o19+/bh66+/VvXtEUIIIdRCwgOVJyQikQgikQipqalyl1M+ceIEAGD9+vUoKCjgXmdkZMDf3x/Tp09HTk4OEhISkJiYiIULF0qdHxYWBm9vb2RlZWHs2LHw8/PDxYsXueOFhYUIDg7Gjz/+CF0+J1EihBDSdFFConIqT0g0NDSQmJiIpKQkGBoawsXFBaGhoTh37hwAwNjYGABgaGgIsVjMvZZIJJg3bx4CAgJgZWUFNzc3REVFISEhQSq+r68vgoKCYGtri6ioKDg5OWHlypUAXqwGHBgYiM8++wxOTk6qvjVCCCGE8ISXTq3e3t7Iz8/Hjh074OHhgfT0dDg6OiIxMbHWc7KyshAZGcm1sIhEIgQHB6OgoADl5eVcOWdnZ6nznJ2duRaSlStX4uHDhwgJCal3XSsqKlBaWiq1VfA9XTIhhJC3G7WQqBxvE6Npa2vDzc0NYWFhOHLkCAIDAxEREVFr+erFfs6ePctt58+fx9WrV6Fdz/UO/vjjDxw9ehRCoRAaGhqwsbEBADg5OSEgIEDuOTExMTAwMJDaYvbsUfyGCSGENB2UkKjca5uHxM7Ojhvqq6mpiaoaC1k5Ojri8uXLXBJRm8zMTPj7+0u9dnBwAACsWLEC0dHR3LH8/Hy4u7vj559/Ru/eveXGCwkJwcyZM6X2CTdsqPd9EUIIaYIosVA5lSckxcXF8PX1xfjx42Fvbw89PT2cPHkSsbGx8PLyAgBYWloiLS0NLi4uEAqFMDIyQnh4ODw9PWFubg4fHx+oqakhKysL2dnZUklGSkoKnJyc4Orqio0bN+L48eNYt24dAMDc3FyqLiKRCABgbW2Ntm3byq2vUCiUXd2Q79VnCSGEvN0oIVE5XkbZ9O7dG/Hx8ejXrx+6dOmCsLAwBAcHY9WqVQCAuLg47N+/H2ZmZlzrhru7O3bu3Il9+/ahZ8+e6NOnD+Lj42FhYSEVXyKRIDk5Gfb29tiwYQM2b94MOzs7Vd8GIYQQUjt6ZKNyAlbb+sRvIIFAgG3btmHUqFH8XqjGyB6V+ne0ES8yMviLff48f7EdHfmLDQAff8xf7Fpa3lSiZUv+Yr/i0WiD/PUXf7H5HMpfs6VUlZo14y+2Go9rpGrw/FS/eXP+YvP5ngNA587Kn3vhgurq8Q6htWwIIYQQRVFLh8rxmFoTQgghhNTPW9VC8hY9XSKEEPIuoxYSlXurEhJCCCHkjUAJicpRQkIIIYQoihISlaOEhBBCCFEUJSQqRwmJPHwO5bx3j7/Yrq78xeZzsjg+hxQDwK5d/MXu3p2/2Hy+5//8w19sIyP+YvO5zpShIX+x9fT4i/02T+RYY8butwolJCpHCQkhhBCiKEpIVI6G/RJCCCGk0VELCSGEEKIoaiFROUpICCGEEEVRQqJylJAQQgghiqKEROV46UNSVFSESZMmwdzcHEKhEGKxGO7u7jh8+DCAF4vkpaam8nFpWFpaQiAQSG2LFi3i5VqEEEKaqCa82u/169exYcMGREVFISQkBEuXLsWBAwfw5MmTBsXlJSHx9vbGmTNnkJSUhCtXrmDHjh0YMGAAiouL+bicjMjISBQUFHDb1KlTX8t1CSGENBGNlJAsWrQIAoEAM2bMqLVMYmKizB/m2traUmUYYwgPD4eJiQl0dHQwZMgQXL16tc5rb9y4Eb169YK1tTXmzp2L1NRUZGRkYO3atfDw8EDr1q0xefJk/P3330rdm8oTkpKSEmRkZGDx4sUYOHAgLCws0KtXL4SEhGDkyJGwtLQEAIwePRoCgYB7DQDbt2+Ho6MjtLW1YWVlBYlEgmfPnnHHBQIBVq9ejWHDhkFHRwdWVlbYsmWLTB309PQgFou5rRnfy1ATQghpWhohITlx4gQSEhJgb2//yrL6+vpSf5jXTBJiY2OxYsUKfPfddzh27BiaNWsGd3f3Wls5HBwcsGLFCgQGBuLvv/9GQUEBTp06hUOHDiEnJwelpaXYvn07nj9/DicnJ6SkpCh8fypPSEQiEUQiEVJTU1FRUSFz/MSJEwCA9evXo6CggHudkZEBf39/TJ8+HTk5OUhISEBiYiIWLlwodX5YWBi8vb2RlZWFsWPHws/PDxcvXpQqs2jRIrRo0QIODg5YsmSJVFJDCCGEvG3KysowduxYrFmzBkb1mHxQIBBI/WHeunVr7hhjDMuWLcOXX34JLy8v2NvbY8OGDcjPz6+1O8WiRYtw7NgxTJ48GWZmZjLHhUIhBgwYgO+++w6XLl2ClZWVwveo8oREQ0MDiYmJSEpKgqGhIVxcXBAaGopz584BAIyNjQEAhoaGEIvF3GuJRIJ58+YhICAAVlZWcHNzQ1RUFBISEqTi+/r6IigoCLa2toiKioKTkxNWrlzJHZ82bRqSk5Nx4MABfPrpp/jqq68wZ84cVd8mIYSQpqwBLSQVFRUoLS2V2uT9Af+yKVOmYPjw4RgyZEi9qldWVgYLCwuYmZnBy8sLFy5c4I5dv34dd+7ckYplYGCA3r174+jRo3Ljubu71+u6ANCiRQv06NGj3uWr8daHJD8/Hzt27ICHhwfS09Ph6OiIxMTEWs/JyspCZGQk18IiEokQHByMgoIClJeXc+WcnZ2lznN2dpZqIZk5cyYGDBgAe3t7fPbZZ4iLi8PKlStr/WHL/WDwOT01IYSQt18DEpKYmBgYGBhIbTExMbVeKjk5GadPn66zzMs6dOiAH374Adu3b8dPP/2E58+fo2/fvrh16xYA4M6dOwAg1WpS/br6WF1Onz6N8y8t+bF9+3aMGjUKoaGhqKysrFcd5eFtplZtbW24ubkhLCwMR44cQWBgICIiImotX1ZWBolEgrNnz3Lb+fPncfXqVZnOOIro3bs3nj17hhs3bsg9LveD8b//KX09QgghTUADEpKQkBA8ePBAagsJCZF7mZs3b2L69OnYuHFjvb8LnZ2d4e/vj+7du6N///7YunUrjI2NZZ44KOvTTz/FlStXAAB//fUX/Pz8oKuri5SUlAY9kXhtU8fb2dnh0aNHAABNTU1U1VhUydHREZcvX4aNjY3Mpqb2/9XMzMyUOi8zMxOdOnWq9bpnz56FmpoaWrVqJfe43A/Ghx8qe5uEEEKaggYkJEKhEPr6+lKbUCiUe5lTp07h7t27cHR0hIaGBjQ0NHDw4EGsWLECGhoaMt+l8mhqasLBwQHXrl0DAIjFYgBAYWGhVLnCwkLuWF2uXLmC7v8uLJqSkoJ+/fph06ZNSExMxC+//PLK82uj8onRiouL4evri/Hjx8Pe3h56eno4efIkYmNj4eXlBeDFXCFpaWlwcXGBUCiEkZERwsPD4enpCXNzc/j4+EBNTQ1ZWVnIzs5GdHQ0Fz8lJQVOTk5wdXXFxo0bcfz4caxbtw4AcPToURw7dgwDBw6Enp4ejh49ii+++AIff/xxrZ2AhEKh7AfhbV49kxBCCP9e03wigwcPlno8AgCffPIJOnbsiLlz50JdXf2VMaqqqnD+/Hm8//77AIB27dpBLBYjLS2NSyxKS0tx7NgxTJo06ZXxGGN4/vw5AOD333+Hp6cnAMDMzAz/NGAlcZUnJCKRCL1790Z8fDxyc3Px9OlTmJmZITg4GKGhoQCAuLg4zJw5E2vWrEGbNm1w48YNuLu7Y+fOnYiMjMTixYuhqamJjh07IigoSCq+RCJBcnIyJk+eDBMTE2zevBl2dnYAXiQXycnJWLBgASoqKtCuXTt88cUXmDlzpqpvkxBCSFP2mhISPT09dOnSRWpfs2bN0KJFC26/v78/2rRpw/UxiYyMRJ8+fWBjY4OSkhIsWbIEf//9N/d9Wj2PSXR0NNq3b4927dohLCwMpqamGDVq1Cvr5OTkhOjoaAwZMgQHDx7E6tWrAbzoLFuzX4oiVJ6QCIVCxMTE1Nn5ZsSIERgxYoTMfnd391f25DU1NcW+ffvkHnN0dJR5pEMIIYSo3Bs042peXp5U14b79+8jODgYd+7cgZGREXr06IEjR45wf7wDwJw5c/Do0SNMnDgRJSUlcHV1xZ49e+rVTyU+Ph4ff/wxUlNTMX/+fNjY2AAAtmzZgr59+yp9HwLGGFP67NdMIBBg27Zt9crgGmTXLv5i/zv8mRc3b/IX+9gx/mLXaI5UuX79+Iv9b3MnL/h8dOjoyF/sesyRoDRdXf5i/zsFAS8MDPiL/TY/Yq7H4wal6evzFxsA+vdX/tyDB1VXjzfIkydPuH4uynhtnVoJIYSQd0YTXsvGyspK7lIwT548ga2trdJx36rVft+ixhxCCCHvsncgsVDWjRs35I7uqaio4OY6UcZblZAQQgghb4QmmJDs2LGD+/+9e/fC4KVHkVVVVUhLS0O7du2Ujk8JCSGEEKKoJpiQVPffFAgECAgIkDqmqakJS0tLxMXFKR2fEhJCCCFEUU0wIamee6Rdu3Y4ceIEWrZsqdL4lJDIo8QqhfX20ro8KidnBUaVad+ev9h8jmoCgIwM/mLXWNJbpfj8HLZpw19sPkd98Dkqox4zXipNyVEH9dKApTVeidb1ql0TTEiqXb9+nZe4lJAQQgghRCFpaWlIS0vD3bt3uZaTaj/88INSMSkhIYQQQhTVhFtIJBIJIiMj4eTkBBMTEwhU9F5QQkIIIYQoqgknJN999x0SExMxbtw4lcalhIQQQghRVBNOSCorKxs0RXxtaKZWQgghRFFNeKbWoKAgbNq0SeVxeUlIioqKMGnSJJibm0MoFEIsFsPd3R2HDx8G8GIMc2pqKh+XBgDs2rULvXv3ho6ODoyMjPhf+4YQQkjT0oQTkidPnmDp0qXo378/pk6dipkzZ0ptyuLlkY23tzcqKyuRlJQEKysrFBYWIi0tTe7c96r2yy+/IDg4GF999RUGDRqEZ8+eITs7m/frEkIIaULegcRCWefOnUP3fxcWrfn92pAOripPSEpKSpCRkYH09HT0/3c1RAsLC/Tq1QsAYGlpCQAYPXo0d+zGjRsAgO3bt0MikSAnJwempqYICAjA/PnzuZUDBQIBvv32W+zYsQPp6ekwMTFBbGwsfHx8AADPnj3D9OnTsWTJEkyYMIGr08tLLhNCCCEN1oQTkgMHDvASV+WPbEQiEUQiEVJTU1FRUSFz/MSJEwCA9evXo6CggHudkZEBf39/TJ8+HTk5OUhISEBiYiIWLlwodX5YWBi8vb2RlZWFsWPHws/PDxcvXgQAnD59Grdv34aamhocHBxgYmKCYcOGUQsJIYQQ8oZTeQuJhoYGEhMTERwcjO+++w6Ojo7o378//Pz8YG9vD2NjYwCAoaEhxGIxd55EIsG8efO4+fGtrKwQFRWFOXPmICIigivn6+uLoKAgAEBUVBT279+PlStX4ttvv8Vff/0FAFiwYAGWLl3Kzas/YMAAXLlyBc2bN1f17RJCCGmKmnALycCBA+t8NPPHH38oFZeXTq3e3t7Iz8/Hjh074OHhgfT0dDg6OiIxMbHWc7KyshAZGcm1sIhEIgQHB6OgoADlL0237uzsLHWes7Mz10JSPVvc/Pnz4e3tjR49emD9+vUQCARISUmRe92KigqUlpZKbRWVlQ18BwghhLzTmnCn1u7du6Nbt27cZmdnh8rKSpw+fRpdu3ZVOi5v85Boa2vDzc0Nbm5uCAsLQ1BQECIiIhAYGCi3fFlZGSQSCT744AO5serDxMQEgHSfEaFQCCsrK+Tl5ck9JyYmBhKJRGpfxOTJWPD55/W6JiGEkCboHUgslBUfHy93/4IFC1BWVqZ03Nc2D4mdnR0ePXoE4MUyxVU1FrJydHTE5cuXYWNjI7Opqf1/NTMzM6XOy8zMRKdOnQAAPXr0gFAoxOXLl7njT58+xY0bN2BhYSG3XiEhIXjw4IHUFjJxokrumRBCyDuqCbeQ1Objjz9Weh0bgIcWkuLiYvj6+mL8+PGwt7eHnp4eTp48idjYWHh5eQF4MdImLS0NLi4uEAqFMDIyQnh4ODw9PWFubg4fHx+oqakhKysL2dnZiI6O5uKnpKTAyckJrq6u2LhxI44fP45169YBAPT19fHZZ58hIiICZmZmsLCwwJIlSwC86Hsij1AohFAolN6ppaXqt4UQQsi75B1OLJR19OjRej/RkEflCYlIJELv3r0RHx+P3NxcPH36FGZmZggODkZoaCgAIC4uDjNnzsSaNWvQpk0b3LhxA+7u7ti5cyciIyOxePFiaGpqomPHjlwH1moSiQTJycmYPHkyTExMsHnzZqlHNEuWLIGGhgbGjRuHx48fo3fv3vjjjz9gZGSk6lslhBDSVDXhhKRm1wrGGAoKCnDy5EmEhYUpHVfAGGMNrdzrIhAIsG3bNv5nXv23kywv+ByCLGeYtcoUFfEXe9cu/mIDQEYGf7HNzfmLbWXFX+wRI/iL3bYtf7ENDPiL/W8fNF60asVfbB0d/mI/fcpfbL7p6/MbX05/x3rbulV19WgEn3zyidRrNTU1GBsbY9CgQRg6dKjScWlxPUIIIURRTbiFZP369bzEpYSEEEIIUVQTTkiqnTp1ipt2o3PnznBwcGhQvLcqIXmLni4RQgh5lzXhhOTu3bvw8/NDeno6DA0NAbxYNmbgwIFITk7mJkBV1Gsb9ksIIYS8M5rwsN+pU6fi4cOHuHDhAu7du4d79+4hOzsbpaWlmDZtmtJx36oWEkIIIeSN8A4kFsras2cPfv/9d24OMODFXGPffPMNdWolhBBCXqsmnJA8f/4cmpqaMvs1NTW5JVyUQQmJPHwOLeRz+N+TJ/zFrjl5nCp1785fbAD4+2/+Yl+7xl9sPufO4XM4p5x/qFRGg8d/svgcPvu2xuZ7kkg+/83iWyMlJIsWLUJISAimT5+OZcuWyS2zZs0abNiwgVvpvkePHvjqq6/Qq1cvrkxgYCCSkpKkznN3d8eePXteWYdBgwZh+vTp2Lx5M0xNTQEAt2/fxhdffIHBgwcreWfUh4QQQgh5K5w4cQIJCQmwt7evs1x6ejrGjBmDAwcO4OjRozAzM8PQoUNx+/ZtqXIeHh4oKCjgts2bN9erHqtWrUJpaSksLS1hbW0Na2trtGvXDqWlpVi5cqXS90ctJIQQQoiiXnMLSVlZGcaOHYs1a9ZILaciz8aNG6Ver127Fr/88gvS0tLg7+/P7RcKhRCLxQrXxczMDKdPn8bvv/+OS5cuAQA6deqEIUOGKBzrZZSQEEIIIYp6zQnJlClTMHz4cAwZMuSVCUlN5eXlePr0KZo3by61Pz09Ha1atYKRkREGDRqE6OhotGjRol4xBQIB3Nzc4ObmplBd6kIJCSGEEKKoBiQkFRUVqKix1IfchV7/lZycjNOnT+PEiRNKXW/u3LkwNTWVasHw8PDABx98gHbt2iE3NxehoaEYNmwYjh49CnV19TrjTZs2DTY2NjJDfFetWoVr167V2rflVagPCSGEEKKoBsxDEhMTAwMDA6ktJiZG7mVu3ryJ6dOnY+PGjUqtpLto0SIkJydj27ZtUuf7+flh5MiR6Nq1K0aNGoWdO3fixIkTSE9Pf2XMX375BS4uLjL7+/btiy1btihcx2q8JCRFRUWYNGkSzM3NuWdU7u7uOHz4MIAXTT2pqakqv256ejoEAoHcTdnMkhBCCJHRgIQkJCQEDx48kNpCQkLkXubUqVO4e/cuHB0doaGhAQ0NDRw8eBArVqyAhoYGqqqqaq3i119/jUWLFmHfvn2v7AhrZWWFli1b4lo9Rg4WFxfDQM5oVH19ffzzzz+vPL82vDyy8fb2RmVlJZKSkmBlZYXCwkKkpaWhuLiYj8tx+vbti4KCAql9YWFhSEtLg5OTE6/XJoQQ0oQ04JFNXY9naho8eDDOnz8vte+TTz5Bx44dMXfu3Fofr8TGxmLhwoXYu3dvvb7/bt26heLiYpjUY9VrGxsb7NmzB59//rnU/t27d8OqAauUqzwhKSkpQUZGBtLT09G/f38AgIWFBTf+2dLSEgAwevRo7tiNGzcAANu3b4dEIkFOTg5MTU0REBCA+fPnQ+PfuQcEAgG+/fZb7NixA+np6TAxMUFsbCx8fHwAAFpaWlI9hp8+fYrt27dj6tSpEDThSWwIIYS8nfT09NClSxepfc2aNUOLFi24/f7+/mjTpg332Gfx4sUIDw/Hpk2bYGlpiTt37gAARCIRRCIRysrKIJFI4O3tDbFYjNzcXMyZMwc2NjZwd3d/ZZ1mzpyJzz//HEVFRRg0aBAAIC0tDXFxcUr3HwF4eGRTfcOpqakynXYAcI9O1q9fj4KCAu51RkYG/P39MX36dOTk5CAhIQGJiYlYuHCh1PlhYWHw9vZGVlYWxo4dCz8/P261wZp27NiB4uJifPLJJyq+S0IIIU3aG7SWTV5entTTgdWrV6OyshI+Pj4wMTHhtq+//hoAoK6ujnPnzmHkyJGwtbXFhAkT0KNHD2RkZNSr5Wb8+PGIi4vDunXrMHDgQAwcOBA//fQTVq9ejeDgYKXvQ8B4WEL3l19+QXBwMB4/fgxHR0f0798ffn5+3DMsgUCAbdu2YdSoUdw5Q4YMweDBg6Weo/3000+YM2cO8vPzufM+++wzrF69mivTp08fODo64ttvv5Wpx/vvvw8A+O233xS7gX+vx4urV/mLzeesh6Wl/MU+doy/2ACwfTt/sfmcqbVnT/5ijxnDX2xbW/5i6+vzF9vcnL/YfM7QzOdMrXX0T1AJPv/NataMv9gA0JA/dNevV109GllRURF0dHQgEokaHIuXTq3e3t7Iz8/Hjh074OHhgfT0dDg6OiIxMbHWc7KyshAZGcm1sIhEIgQHB6OgoADl5eVcOWdnZ6nznJ2d5baQ3Lp1C3v37sWECRPqrGtFRQVKS0ulNnktO4QQQgjnDWohaUzGxsYqSUYAHof9amtrw83NDWFhYThy5AgCAwMRERFRa/nqZ1pnz57ltvPnz+Pq1atKDXVav349WrRogZEjR9ZZTu7wq1WrFL4eIYSQJoQSEpV7bROj2dnZcUN9NTU1ZYYqOTo64vLly7CxsakzTmZmptTUt5mZmXBwcJAqwxjD+vXr4e/vL3dFwpeFhIRg5syZUvuEPI8GIoQQ8pajxELlVJ6QFBcXw9fXF+PHj4e9vT309PRw8uRJxMbGwsvLC8CLkTZpaWlwcXGBUCiEkZERwsPD4enpCXNzc/j4+EBNTQ1ZWVnIzs6WmiY3JSUFTk5OcHV1xcaNG3H8+HGsW7dOqg5//PEHrl+/jqCgoFfWV+7wq7Kyhr8RhBBC3l2UkKgcL6Nsevfujfj4ePTr1w9dunRBWFgYgoODserfRyFxcXHYv38/zMzMuNYNd3d37Ny5E/v27UPPnj3Rp08fxMfHw8LCQiq+RCJBcnIy7O3tsWHDBmzevBl2dnZSZdatW4e+ffuiY8eOqr49QgghhB7Z8ICXUTZ8kTc6hxc0ykYWjbKRj0bZyKJRNrJolI18b/Mom4kTlT/3++9VV4/XZMWKFfUuW3ONm/qixfUIIYQQRTWxlo74+Hip10VFRSgvL4ehoSGAF5Oi6urqolWrVkonJLS4HiGEEKKoJvbI5vr169y2cOFCdO/eHRcvXsS9e/dw7949XLx4EY6OjoiKilL6Gm9VC8lb9HSJEELIu+wtTSxUISwsDFu2bEGHDh24fR06dEB8fDx8fHwwduxYpeK+VQkJIYQQ8kZowglJQUEBnj17JrO/qqoKhYWFSselRzaEEEKIoprYI5uXDR48GJ9++ilOnz7N7Tt16hQmTZqEIUOGKB2XEhJCCCFEUU04Ifnhhx8gFovh5OTEzeXVq1cvtG7dGmvXrlU6Lj2yIYQQQki9GRsb47fffsOVK1dw6dIlAEDHjh1h28Ah/5SQyKPE2jn1Jue5m8rwOe5eS4u/2K+Y3r/BrKz4i21kxF/sEyf4i21qyl9sPn9/VLSIl1x81ltPj7/YfP7+8PnvFQA8fMhfbL7nIXkHWjoaytLSEowxWFtbQ0Oj4ekEPbIhhBBCFNWEH9mUl5djwoQJ0NXVRefOnZGXlwcAmDp1KhYtWqR0XEpICCGEEEU14YQkJCQEWVlZSE9Ph/ZLLYtDhgzBzz//rHRcemRDCCGEKOodSCyUlZqaip9//hl9+vSB4KX3oXPnzsjNzVU6LiUkhBBCiKKacEJSVFSEVnLWZ3r06JFUgqIoXh7ZFBUVYdKkSTA3N4dQKIRYLIa7uzsOHz4M4MUieampqXxcGleuXIGXlxdatmwJfX19uLq64sCBA7xcixBCSBPVhB/ZODk5YdeuXdzr6iRk7dq1cHZ2VjouLy0k3t7eqKysRFJSEqysrFBYWIi0tDQUFxfzcTkpnp6eaN++Pf744w/o6Ohg2bJl8PT0RG5uLsRiMe/XJ4QQ0gS8A4mFsr766isMGzYMOTk5ePbsGZYvX46cnBwcOXIEBw8eVDquyltISkpKkJGRgcWLF2PgwIGwsLBAr169EBISgpEjR8LS0hIAMHr0aAgEAu41AGzfvh2Ojo7Q1taGlZUVJBKJ1PS0AoEAq1evxrBhw6CjowMrKyts2bKFO/7PP//g6tWrmDdvHuzt7dG+fXssWrQI5eXlyM7OVvWtEkIIIU2Oq6srzp49i2fPnqFr167Yt28fWrVqhaNHj6JHjx5Kx1V5C4lIJIJIJEJqair69OkDoVAodfzEiRNo1aoV1q9fDw8PD6irqwMAMjIy4O/vjxUrVuC9995Dbm4uJk6cCACIiIjgzg8LC8OiRYuwfPly/Pjjj/Dz88P58+fRqVMntGjRAh06dMCGDRvg6OgIoVCIhIQEtGrVqkFvEiGEECKlCbeQAIC1tTXWrFmj0pgqbyHR0NBAYmIikpKSYGhoCBcXF4SGhuLcuXMAXszwBgCGhoYQi8Xca4lEgnnz5iEgIABWVlZwc3NDVFQUEhISpOL7+voiKCgItra2iIqKgpOTE1auXAngRQvK77//jjNnzkBPTw/a2tpYunQp9uzZAyM+J7AihBDStDThPiSDBg2CRCKR2X///n0MGjRI6bi8dGr19vZGfn4+duzYAQ8PD6Snp8PR0RGJiYm1npOVlYXIyEiuhUUkEiE4OBgFBQUoLy/nytXsMOPs7IyLFy8CABhjmDJlClq1aoWMjAwcP34co0aNwogRI1BQUCD3uhUVFSgtLZXaKioqGv4mEEIIeXc14YQkPT0dq1atwqhRo/Do0SNuf2Vl5ZvVh6SatrY23NzcEBYWhiNHjiAwMFDq0UtNZWVlkEgkOHv2LLedP38eV69elZp4pS5//PEHdu7cieTkZLi4uMDR0RHffvstdHR0kJSUJPecmJgYGBgYSG0xy5Ypc8uEEEKaiiackADA77//jjt37qBPnz64ceOGSmK+tpla7ezsuExKU1MTVVVVUscdHR1x+fJl2NjYyGxqav9fzczMTKnzMjMz0alTJwDgWlJeLl/9+vnz53LrFRISggcPHkhtITNmNOheCSGEvOOaeEJiYmKCgwcPomvXrujZsyfS09MbHFPlnVqLi4vh6+uL8ePHw97eHnp6ejh58iRiY2Ph5eUF4MWCPGlpaXBxcYFQKISRkRHCw8Ph6ekJc3Nz+Pj4QE1NDVlZWcjOzkZ0dDQXPyUlBU5OTnB1dcXGjRtx/PhxrFu3DsCLxzdGRkYICAhAeHg4dHR0sGbNGly/fh3Dhw+XW9/qpZOl8L2gFCGEkLfbO5JYKKN63hGhUIhNmzYhOjoaHh4emDt3boPiqryFRCQSoXfv3oiPj0e/fv3QpUsXhIWFITg4GKtWrQIAxMXFYf/+/TAzM4ODgwMAwN3dHTt37sS+ffvQs2dP9OnTB/Hx8bCwsJCKL5FIkJycDHt7e2zYsAGbN2+GnZ0dAKBly5bYs2cPysrKMGjQIDg5OeHQoUPYvn07unXrpupbJYQQQpocxpjU6y+//BIbN25EXFxcg+IKWM3IbzCBQIBt27Zh1KhR/F7o3j3+Yp85w1/smi09qvT0KX+x9+3jLzYAnD7NX+z79/mLfeIEf7H/ba3khbs7f7FFIv5id+zIX2xra/5i6+vzF5vv1uKSEv5i8z0RZmio8ud+9ZXq6tEI/v77b5iZmcl0j8jOzsapU6cQEBCgVFxa7ZcQQghRVCP1IVm0aBEEAgFmvKKvY0pKCjp27AhtbW107doVv/32m9RxxhjCw8NhYmICHR0dDBkyBFevXq1XHSwsLGSSEQDo0qWL0skIQIvrEUIIIYprhD4kJ06cQEJCAuzt7essd+TIEYwZMwYxMTHw9PTEpk2bMGrUKJw+fRpdunQBAMTGxmLFihVISkpCu3btEBYWBnd3d+Tk5Mgd2frBBx8gMTER+vr6+OCDD+q8/tatW5W6v7eqhYQxxv/jGkIIIeRVXnMLSVlZGcaOHYs1a9a8cqLP5cuXw8PDA7Nnz0anTp0QFRUFR0dHrh8nYwzLli3Dl19+CS8vL65PZn5+fq0L3xoYGHCdWWtOlVFzUxa1kBBCCCGKakALSUVFhcwEnHJHfL5kypQpGD58OIYMGSI18lSeo0ePYubMmVL73N3duWTj+vXruHPnDoYMGcIdNzAwQO/evXH06FH4+fnJxFy/fr3c/1elt6qFhBBCCHkjNKCFRO6EnDExtV4qOTkZp0+frrPMy+7cuYPWrVtL7WvdujXu3LnDHa/eV1uZxkAtJIQQQshrFBISItOCUVvryM2bNzF9+nTs37+/3rOW88HBwYF7ZPMqp5Uc2UgJCSGEEKKoBjyyedXjmZedOnUKd+/ehaOjI7evqqoKf/75J1atWoWKigqoq6tLnSMWi1FYWCi1r7CwEOJ/h0JX/7ewsBAmJiZSZbp37y63Hq+j/yYlJPLwuTIwn2PjdXT4i62pyV/sf/7hLzYAtGnDX2w+52cxNeUv9vbt/MUuLuYvNp8/SznDGFWmAR39XqnGMhwqVcuSGyrD55xPfM9D8ppG2QwePBjnz5+X2vfJJ5+gY8eOmDt3rkwyAryYtTwtLU1qaPD+/fu5xWnbtWsHsViMtLQ0LgEpLS3FsWPHMGnSJLn1qGstOlWhhIQQQghR1GtKSPT09LihutWaNWuGFi1acPv9/f3Rpk0bro/J9OnT0b9/f8TFxWH48OFITk7GyZMn8f333/9b9RfzmERHR6N9+/bcsF9TU9NGHclKCQkhhBCiqDdoLZu8vDypicr69u2LTZs24csvv0RoaCjat2+P1NRUqcRmzpw5ePToESZOnIiSkhK4urpiz5499eqnUlVVhfj4ePzvf/9DXl4eKisrpY7fU7LlixISQgghRFGNmJDUXFlX3kq7vr6+8PX1rTWGQCBAZGQkIiMjFb6+RCLB2rVrMWvWLHz55ZeYP38+bty4gdTUVISHhyscrxoN+yWEEEIU1UhTx78JNm7ciDVr1mDWrFnQ0NDAmDFjsHbtWoSHhyMzM1PpuLwkJEVFRZg0aRLMzc0hFAohFovh7u6Ow4cPA3iRmdU2G1xDnT59Gm5ubjA0NESLFi0wceJElJWV8XItQgghTVQTTkju3LmDrl27AgBEIhEePHgAAPD09MSuXbuUjstLQuLt7Y0zZ84gKSkJV65cwY4dOzBgwAAU89n7HkB+fj6GDBkCGxsbHDt2DHv27MGFCxcQGBjI63UJIYSQpqJt27YoKCgAAFhbW2Pfvyu2nzhxot7DmeVReUJSUlKCjIwMLF68GAMHDoSFhQV69eqFkJAQjBw5EpaWlgCA0aNHQyAQcK8BYPv27XB0dIS2tjasrKwgkUjw7KXlrwUCAVavXo1hw4ZBR0cHVlZW2LJlC3d8586d0NTUxDfffIMOHTqgZ8+e+O677/DLL7/g2rVrqr5VQgghTVUTbiEZPXo00tLSAABTp05FWFgY2rdvD39/f4wfP17puCrv1CoSiSASiZCamoo+ffrIZEsnTpxAq1atsH79enh4eHBjqDMyMuDv748VK1bgvffeQ25uLiZOnAhAevxzWFgYFi1ahOXLl+PHH3+En58fzp8/j06dOqGiogJaWlpSvY11/p2b49ChQ7CxsVH17RJCCGmK3oHEQlmLFi3i/v+jjz6Cubk5jh49ivbt22PEiBFKx1V5C4mGhgYSExORlJQEQ0NDuLi4IDQ0FOfOnQMAGBsbAwAMDQ0hFou51xKJBPPmzUNAQACsrKzg5uaGqKgoJCQkSMX39fVFUFAQbG1tERUVBScnJ6xcuRIAMGjQINy5cwdLlixBZWUl7t+/j3nz5gEA17xECCGENFgTbiGpydnZGTNnzmxQMgLwNOzX29sbw4cPR0ZGBjIzM7F7927ExsZi7dq1tfbnyMrKwuHDh7Fw4UJuX1VVFZ48eYLy8nLo6uoCADfTXDVnZ2ecPXsWANC5c2ckJSVh5syZCAkJgbq6OqZNm4bWrVtLtZq8TO6qi1paDXoORggh5B33DiYWisjPz8ehQ4dw9+5dPK8xo++0adOUisnbPCTa2tpwc3ODm5sbwsLCEBQUhIiIiFoTkrKyMkgkEnzwwQdyY9XXf/7zH/znP/9BYWEhmjVrBoFAgKVLl8LKykpu+ZiYGEgkEql9EeHhWLBgQb2vSQghpIlpwglJYmIiPv30U2hpaaFFixZSi+4JBII3LyGpyc7Ojhvqq6mpiaoa6y84Ojri8uXLr+znkZmZCX9/f6nXDg4OMuWql1X+4YcfuORIHrmrLmppvfJ+CCGENGFNOCEJCwtDeHg4QkJCan36oAyVJyTFxcXw9fXF+PHjYW9vDz09PZw8eRKxsbHw8vICAFhaWiItLQ0uLi4QCoUwMjJCeHg4PD09YW5uDh8fH6ipqSErKwvZ2dmIjo7m4qekpMDJyQmurq7YuHEjjh8/jnXr1nHHV61ahb59+0IkEmH//v2YPXs2Fi1aBENDQ7n1lbvqImOqflsIIYSQd0J5eTn8/PxUmowAPHRqFYlE6N27N+Lj49GvXz906dIFYWFhCA4OxqpVqwAAcXFx2L9/P8zMzLjWDXd3d+zcuRP79u1Dz5490adPH8THx8PCwkIqvkQiQXJyMuzt7bFhwwZs3rwZdnZ23PHjx4/Dzc0NXbt2xffff4+EhASlm48IIYQQuZpwp9YJEyYgJSVF5XEFjL09zQECgQDbtm3jfzVCPt+SnBz+Yv87xJkXmpr8xW7AVMP1UljIX+ynT/mLffAgf7G3b+cvtqsrf7HbtOEvdgNHCNSpZ0/+YhsZ8Re7RmdFleNzssyX/lDlxdKlyp9bo5vA26aqqgqenp54/PgxunbtCs0a3w9LlXxvaHE9QgghRFHvQEuHsmJiYrB371506NABAGQ6tSqLEhJCCCFEUU04IYmLi8MPP/yg8mVZ3qqE5C16ukQIIeRd1oQTEqFQCBcXF5XH5WVxPUIIIeSd1oQ7tU6fPp2bIV2V3qoWEkIIIeSN8A4kFso6fvw4/vjjD+zcuROdO3eW6dS6detWpeJSQkIIIYSQejM0NJQ7q3pDUUJCCCGEKKqJtpA8e/YMAwcOxNChQyEWi1UamxISefLz+YutwLo8Cist5S/2gwf8xeZzHgWA3zlU+IzN52eFz/kfDh3iL3avXvzF/vtv/mK3aMFfbJGIv9h8L6PBZ9351kQTEg0NDXz22We4ePGiymNTp1ZCCCFEUU24U2uvXr1w5swZlcelFhJCCCFEUe9AYqGsyZMnY9asWbh16xZ69OiBZs2aSR23t7dXKi4lJIQQQoiimnBC4ufnBwBS68QJBAIwxiAQCFBVVaVUXEpICCGEEEU14YTk+vXrvMSlhIQQQggh9WZhYcFLXIU7tRYVFWHSpEkwNzeHUCiEWCyGu7s7Dh8+DOBFs01qaqqq6wkAWLhwIfr27QtdXV0YGhrKLZOXl4fhw4dDV1cXrVq1wuzZs/Hs2TNe6kMIIaSJasKdWgEgNzcXU6dOxZAhQzBkyBBMmzYNubm5DYqpcAuJt7c3KisrkZSUBCsrKxQWFiItLQ3FfA4j/FdlZSV8fX3h7OyMdevWyRyvqqrC8OHDIRaLceTIERQUFMDf3x+ampr46quveK8fIYSQJuIdSSyUsXfvXowcORLdu3fn1rQ5fPgwOnfujF9//RVubm5KxRUwBVasKykpgZGREdLT09G/f3+Z45aWlvj7pbH8FhYWuHHjBgBg+/btkEgkyMnJgampKQICAjB//nxoaLzIiQQCAb799lvs2LED6enpMDExQWxsLHx8fGSuk5iYiBkzZqCkpERq/+7du+Hp6Yn8/Hy0bt0aAPDdd99h7ty5KCoqglZ9x9Tfvl2/csp48oS/2A8f8hebz3lInj7lLzYAlJXxF5vPeUjy8viLvWkTf7Hf1nlIvLz4i+3oyF9smodEPjs7/mIDwNq1yp8bFKS6ejQCBwcHuLu7Y9GiRVL7582bh3379uH06dNKxVXokY1IJIJIJEJqaioqKipkjp84cQIAsH79ehQUFHCvMzIy4O/vj+nTpyMnJwcJCQlITEzEwoULpc4PCwuDt7c3srKyMHbsWPj5+Sk0+crRo0fRtWtXLhkBAHd3d5SWluLChQuK3CohhBBSu9f0yGb16tWwt7eHvr4+9PX14ezsjN27d9dafsCAARAIBDLb8OHDuTKBgYEyxz08POpdp4sXL2LChAky+8ePH4+cnByF7u9lCiUkGhoaSExMRFJSEgwNDeHi4oLQ0FCcO3cOAGBsbAzgxTz3YrGYey2RSDBv3jwEBATAysoKbm5uiIqKQkJCglR8X19fBAUFwdbWFlFRUXByclJoRcE7d+5IJSMAuNd37tyRe05FRQVKS0ulNnnJFiGEEMJ5TQlJ27ZtsWjRIpw6dQonT57EoEGD4OXlVesf2Vu3bkVBQQG3ZWdnQ11dHb6+vlLlPDw8pMpt3ry53nUyNjbG2bNnZfafPXsWrVq1Uuj+XqZUH5Lhw4cjIyMDmZmZ2L17N2JjY7F27VoEBgbKPScrKwuHDx+WahGpqqrCkydPUF5eDl1dXQCAs7Oz1HnOzs5yb1qVYmJiIJFIpPZFfPEFFsyaxet1CSGEvMVeUx+SESNGSL1euHAhVq9ejczMTHTu3FmmfPPmzaVeJycnQ1dXVyYhqR6Uoozg4GBMnDgRf/31F/r27QvgRR+SxYsXY+bMmUrFBJQc9qutrQ03Nze4ubkhLCwMQUFBiIiIqDUhKSsrg0Qikbs6oLYK1+sQi8U4fvy41L7CwkLumDwhISEyb6Dwn39UVidCCCHvoEbo1FpVVYWUlBQ8evRI5g/42qxbtw5+fn4ys6mmp6ejVatWMDIywqBBgxAdHY0W9VxzKSwsDHp6eoiLi0NISAgAwNTUFAsWLJCaLE1RKpmHxM7Ojhvqq6mpKTNLm6OjIy5fvgwbG5s642RmZsLf31/qtYODQ73r4ezsjIULF+Lu3btcs9H+/fuhr68Pu1o6OAmFQgiFQumdfHYOJYQQ0qRVVFTIdA2Q+130r/Pnz8PZ2RlPnjyBSCTCtm3bav1Oe9nx48eRnZ0tMyrVw8MDH3zwAdq1a4fc3FyEhoZi2LBhOHr0KNTV1V8ZVyAQ4IsvvsAXX3yBh/9+X+rp6b3yvFdRKCEpLi6Gr68vxo8fD3t7e+jp6eHkyZOIjY2F17891C0tLZGWlgYXFxcIhUIYGRkhPDwcnp6eMDc3h4+PD9TU1JCVlYXs7GxER0dz8VNSUuDk5ARXV1ds3LgRx48fl3oj8/LycO/ePeTl5aGqqop7nGNjYwORSIShQ4fCzs4O48aNQ2xsLO7cuYMvv/wSU6ZMqfUHTQghhCisAS0kcrsKRERgwYIFcst36NABZ8+exYMHD7BlyxYEBATg4MGDr0xK1q1bh65du6JXjdFp1VO/A0DXrl1hb28Pa2trpKenY/DgwQrdiyoSkWoKj7Lp3bs34uPj0a9fP3Tp0gVhYWEIDg7GqlWrAABxcXHYv38/zMzMuNYNd3d37Ny5E/v27UPPnj3Rp08fxMfHy8z2JpFIkJycDHt7e2zYsAGbN2+WesPDw8Ph4OCAiIgIlJWVwcHBAQ4ODjh58iQAQF1dHTt37oS6ujqcnZ3x8ccfw9/fH5GRkQ16kwghhBApDejUGhISggcPHkht1Y8+5NHS0oKNjQ169OiBmJgYdOvWDcuXL6+zeo8ePUJycrLc0TA1WVlZoWXLlrh27Vq9br2wsBDjxo2DqakpNDQ0oK6uLrUpS6EWEqFQiJiYGMTExNRaZsSIETKdcIAXSYm7u3ud8U1NTbFv375ajycmJiIxMbHOGBYWFvjtt9/qLEMIIYQ0SANaSOp6PFMfz58/f+Vo0JSUFFRUVODjjz9+Zbxbt26huLgYJiYm9bp+YGAg8vLyEBYWBhMTEwhU1J+G1rIhhBBCFPWaOrWGhIRg2LBhMDc3x8OHD7Fp0yakp6dj7969AAB/f3+0adNGpqFg3bp1GDVqlExH1epBJt7e3hCLxcjNzcWcOXNgY2PzykaDaocOHUJGRga6d++uknusRgkJIYQQoqjXlJDcvXsX/v7+KCgogIGBAezt7bF3715ueva8vDyoqUn3vrh8+TIOHTok94mDuro6zp07h6SkJJSUlMDU1BRDhw5FVFRUvVttzMzMoMAk7/X2xiQkfNwcIYQQwovXlJDIW7ftZenp6TL7OnToUOt3qo6ODte6oqxly5Zh3rx5SEhIgKWlZYNiveyNSUgIIYQQ8ub76KOPUF5eDmtra+jq6kKzxppe9+7dUyouJSSEEEKIoprwar/Lli3jJS4lJIQQQoiimnBCEhAQwEtcSkjk4fODxmdfmRrNZir173pDvHj6lL/YANCAcfGvpMHjrxCfS7O3acNf7BqTMKlUjaUhVKptW/5i8/l+15gZW6X4/AwCb/eX+ttcdyU8evRIZvp5VZYHFJwYjRBCCCF4bav9vilsbGywaNEiFBQU1FqGMYb9+/dj2LBhWLFihcLXoBYSQgghRFFvaWKhrPT0dISGhmLBggXo1q0bnJycYGpqCm1tbdy/fx85OTk4evQoNDQ0EBISgk8//VTha1BCQgghhCiqiSUkHTp0wC+//IK8vDykpKQgIyMDR44cwePHj9GyZUs4ODhgzZo1GDZsmNLTx1NCQgghhCiqiSUk1czNzTFr1izMmjVL5bGpDwkhhBBCGp3CCUlRUREmTZoEc3NzCIVCiMViuLu74/DhwwAAgUCA1NRUVdcTALBw4UL07dsXurq6MDQ0lFtm2rRp6NGjB4RCocrn2SeEEEIANLlOrdVycnIwefJkODg4wMTEBCYmJnBwcMDkyZORk5PToNgKP7Lx9vZGZWUlkpKSYGVlhcLCQqSlpaG4uLhBFamPyspK+Pr6wtnZuc7pdMePH49jx47h3LlzvNeJEEJIE/SWJxbK2L17N0aNGgVHR0d4eXmhdevWAIDCwkLs378fjo6O2L59e70X6atJoYSkpKQEGRkZSE9PR//+/QEAFhYW6PXvvAPVc9qPHj2aO3bjxg0AwPbt2yGRSJCTkwNTU1MEBARg/vz50Ph3HgeBQIBvv/0WO3bsQHp6OkxMTBAbGwsfHx/u+hKJBACQmJhYax2rhxoVFRVRQkIIIYQfTTAhmTdvHubOnYvIyEiZYwsWLMCCBQswe/ZspRMShR7ZiEQiiEQipKamoqKiQub4iRMnAADr169HQUEB9zojIwP+/v6YPn06cnJykJCQgMTERCxcuFDq/LCwMHh7eyMrKwtjx46Fn58fLl68qNSNEUIIIbxpgo9srly5grFjx9Z6fMyYMbh69arS8RVKSDQ0NJCYmIikpCQYGhrCxcUFoaGhXEuEsbExAMDQ0BBisZh7LZFIMG/ePAQEBMDKygpubm6IiopCQkKCVHxfX18EBQXB1tYWUVFRcHJywsqVK5W+ufqoqKhAaWmp1CYv2SKEEEI4TTAhsbS0xK5du2o9vmvXLlhYWCgdX6k+JMOHD0dGRgYyMzOxe/duxMbGYu3atQgMDJR7TlZWFg4fPizVIlJVVYUnT56gvLwcuv9OS+7s7Cx1nrOzM86ePatoFRUSExPDPQqqFjFzJhbwMKSJEELIO+ItTiyUFRkZif/85z9IT0/HkCFDpPqQpKWlYc+ePdi0aZPS8ZWah0RbWxtubm5wc3NDWFgYgoKCEBERUWtCUlZWBolEgg8++EBurMYUEhKCmTNnSu0TvoYOuoQQQsjbxNfXF23atMGKFSsQFxeHO3fuAADEYjGcnZ2Rnp4u07CgCJVMjGZnZ8cN9dXU1ERVjcWeHB0dcfnyZdjY2NQZJzMzE/7+/lKvHRwcVFHFWgmFQgiFQumdZWW8XpMQQshbrgm2kABA37590bdvX15iK5SQFBcXw9fXF+PHj4e9vT309PRw8uRJxMbGwsvLC8CLZ0xpaWlwcXGBUCiEkZERwsPD4enpCXNzc/j4+EBNTQ1ZWVnIzs5GdHQ0Fz8lJQVOTk5wdXXFxo0bcfz4canhvXl5ebh37x7y8vJQVVXFPc6xsbGB6N9VKa9du4aysjLcuXMHjx8/5srY2dlBS0urIe8VIYQQ8kITTUj4pFBCIhKJ0Lt3b8THxyM3NxdPnz6FmZkZgoODERoaCgCIi4vDzJkzsWbNGrRp0wY3btyAu7s7du7cicjISCxevBiampro2LEjgoKCpOJLJBIkJydj8uTJMDExwebNm2FnZ8cdDw8PR1JSEve6uvXkwIEDGDBgAAAgKCgIBw8elClz/fp1blgyIYQQ0iCUkMi4ePEihg8fjr/++kup8wWMMabiOilFIBBg27ZtGDVqVGNXBcjP5y92eTl/sfkcHcRnvZ8+5S82wO/7osHjclD/zuHDizp6yjfY9ev8xT5+nL/Ycvq4qczIkfzFbtmSv9j/tjzz5t8BDbzo2ZO/2ACwe7fy5w4bprp6vEGysrLg6Ogo022jvmhxPUIIIURRTbCFpOYAkJqKiooaFJ8SEkIIIURRTTAhWb58Obp37w59fX25x8saOCDkjUlI3pAnR4QQQsirNcGExMbGBl988QU+/vhjucfPnj2LHj16KB1f4dV+CSGEENL0ODk54dSpU7UeFwgEDWpceGNaSAghhJC3RhNsIYmLi6tzaZVu3brh+fPnSsenhIQQQghRVBNMSMRiMa/xKSGRh89hopqa/MXm8xdEyWFc9WJoyF9sgN+66+jwF5vPZRXUeHxa+/ff/MVu25a/2Fu38hebz1XLHR35i92A/gD10q4df7H5HvbbBBMSvlFCQgghhCiqCSckRkZGEMi5f4FAAG1tbdjY2CAwMBCffPKJQnEpISGEEEIU1YQTkvDwcCxcuBDDhg1Dr169AADHjx/Hnj17MGXKFFy/fh2TJk3Cs2fPEBwcXO+4NMqGEEIIUZRAoPymgNWrV8Pe3h76+vrQ19eHs7MzdtcxS2xiYiIEAoHUpl3j8S9jDOHh4TAxMYGOjg6GDBmCq1ev1rtOhw4dQnR0NH788UdMnToVU6dOxY8//ojo6GicOnUKa9aswZIlS7BixQqF7pUSEkIIIeQN1bZtWyxatAinTp3CyZMnMWjQIHh5eeHChQu1nqOvr4+CggJu+7tGv67Y2FisWLEC3333HY4dO4ZmzZrB3d0dT548qVed9u7diyFDhsjsHzx4MPbu3QsAeP/99xVe04YSEkIIIURRr6mFZMSIEXj//ffRvn172NraYuHChRCJRMjMzKyjagKIxWJua926NXeMMYZly5bhyy+/hJeXF+zt7bFhwwbk5+cjNTW1XnVq3rw5fv31V5n9v/76K5o3bw4AePToEfT09BS6V4UTkqKiIkyaNAnm5uYQCoUQi8Vwd3fH4cOHAbx4I+p7U4pauHAh+vbtC11dXRjKGZmRlZWFMWPGwMzMDDo6OujUqROWL1/OS10IIYQ0YQ1ISCoqKlBaWiq11TW/R7WqqiokJyfj0aNHcHZ2rrVcWVkZLCwsYGZmJtOacv36ddy5c0eqhcPAwAC9e/fG0aNH63XrYWFhmD17NkaOHIno6GhER0fDy8sLc+bMQUREBABg//796N+/f73iVVO4U6u3tzcqKyuRlJQEKysrFBYWIi0tDcXFxYqGUlhlZSV8fX3h7OyMdevWyRw/deoUWrVqhZ9++glmZmY4cuQIJk6cCHV1dXz++ee8148QQkgT0YBOrTExMZBIJFL7IiIisGDBArnlz58/D2dnZzx58gQikQjbtm2DnZ2d3LIdOnTADz/8AHt7ezx48ABff/01+vbtiwsXLqBt27a4c+cOAEi1mlS/rj72KsHBwbCzs8OqVauw9d/h8h06dMDBgwfRt29fAMCsWbPqFetlAqbAPK8lJSUwMjJCenq63MzH0tJS6lmVhYUFbvy7hPr27dshkUiQk5MDU1NTBAQEYP78+dD4d/l2gUCAb7/9Fjt27EB6ejpMTEwQGxsLHx8fmeskJiZixowZKCkpeWWdp0yZgosXL+KPP/6o723yu3w6n/M/PHvGX+xHj/iLzedcHsDbOw/J3bv8xb5yhb/YfM5DUse01Q3G5zwknTrxF5vmIZFv1Cj+YgPAoUNKn1rRs6dMi4hQKIRQKJRbvrKyEnl5eXjw4AG2bNmCtWvX4uDBg7UmJS97+vQpOnXqhDFjxiAqKgpHjhyBi4sL8vPzYWJiwpX78MMPIRAI8PPPPyt9Xw2lUAuJSCSCSCRCamoq+vTpI/PmnThxAq1atcL69evh4eEBdXV1AEBGRgb8/f2xYsUKvPfee8jNzcXEiRMBgGveAV40Ay1atAjLly/Hjz/+CD8/P5w/fx6dGvDL/ODBA+6ZFiGEEKISDWghqSv5kEdLSws2NjYAgB49euDEiRNYvnw5EhISXnmupqYmHBwccO3aNQD/P9tqYWGhVEJSWFiI7t2717tOVVVVSE1NxcV/J/3r3LkzRo4cyX3vK0OhP9c1NDSQmJiIpKQkGBoawsXFBaGhoTh37hwAwNjYGABgaGgIsVjMvZZIJJg3bx4CAgJgZWUFNzc3REVFybyZvr6+CAoKgq2tLaKiouDk5ISVK1cqfXNHjhzBzz//zCU/hBBCiEq8pk6t8jx//rxefU6AF4nD+fPnueSjXbt2EIvFSEtL48qUlpbi2LFjdfZLedm1a9fQqVMn+Pv7Y+vWrdi6dSs+/vhjdO7cGbm5uYrf0L8Ufn7g7e2N/Px87NixAx4eHkhPT4ejoyMSExNrPScrKwuRkZFcC4tIJEJwcDAKCgpQXl7Olav5Zjg7O3PZl6Kys7Ph5eWFiIgIDB06tNZyynYuIoQQQvgWEhKCP//8Ezdu3MD58+cREhKC9PR0jB07FgDg7++PkJAQrnxkZCT27duHv/76C6dPn8bHH3+Mv//+G0FBQQBedI+YMWMGoqOjsWPHDpw/fx7+/v4wNTXFqHo+5po2bRqsra1x8+ZNnD59GqdPn0ZeXh7atWuHadOmKX2vSs3Uqq2tDTc3N7i5uSEsLAxBQUGIiIhAYGCg3PJlZWWQSCT44IMP5MZStZycHAwePBgTJ07El19+WWdZuZ2Lpk3DghkzVF4vQggh74jXNFPr3bt34e/vj4KCAhgYGMDe3h579+6Fm5sbACAvLw9qL/VNvH//PoKDg3Hnzh0YGRmhR48eOHLkiFR/kzlz5uDRo0eYOHEiSkpK4Orqij179tT7+/jgwYPIzMyU6g7RokULLFq0CC4uLkrfq0qmjrezs+OG+mpqaqKqRidCR0dHXL58mXsGVpvMzEz4+/tLvXZwcFCoLhcuXMCgQYMQEBCAhQsXvrJ8SEgIZs6cKbVPmJ+v0DUJIYQ0Ma8pIZE3ovRl6enpUq/j4+MRHx9f5zkCgQCRkZGIjIxUqk5CoRAPHz6U2V9WVgYtLS2lYgIKJiTFxcXw9fXF+PHjYW9vDz09PZw8eRKxsbHw8vIC8GKkTVpaGlxcXCAUCmFkZITw8HB4enrC3NwcPj4+UFNTQ1ZWFrKzsxEdHc3FT0lJgZOTE1xdXbFx40YcP35c6oeRl5eHe/fuIS8vD1VVVTh79iwAwMbGBiKRCNnZ2Rg0aBDc3d0xc+ZMbgiTuro615+lJrmdi17DEGZCCCFvsSa8lo2npycmTpyIdevWcWvZHDt2DJ999hlGjhypdFyF+pCIRCL07t0b8fHx6NevH7p06YKwsDAEBwdj1apVAIC4uDjs378fZmZmXOuGu7s7du7ciX379qFnz57o06cP4uPjYWFhIRVfIpEgOTmZmzlu8+bNUs1M4eHhcHBwQEREBMrKyuDg4AAHBwecPHkSALBlyxYUFRXhp59+gomJCbf15HsZakIIIU1LI3ZqbWwrVqyAtbU1nJ2doa2tDW1tbbi4uMDGxqZBk5EqNA8JnwQCAbZt21bvTjW8onlIZNE8JPLRPCSyaB4SWTQPiXxv8zwkJ04of+478kfy1atXcenSJQBAp06dXtkt41VU0oeEEEIIaVLegZaOhmrfvj3at2+vsniUkBBCCCGKamIJSc3BH3VZunSpUtd4YxKSN+TJESGEEEJqOHPmTL3KCRqQqL0xCQkhhBDy1mhiLSQHDhzg/RqUkBBCCCGKamIJyetACQkhhBCiKEpIVI4SEnn4HCYqEvEXm89hv3zS0+M3vgaPH3M+h/3y+b4YGPAXu0UL/mK3acNfbCXXzWr02Hz+e9WhA3+xgbf7S/1trvsbihISQgghRFGUkKgcJSSEEEKIoighUTkepw0lhBBCCKkfaiEhhBBCFEUtJCpHCQkhhBCiKEpIVE7hRzZFRUWYNGkSzM3NIRQKIRaL4e7ujsOHDwN4MUtbamqqqusJAFi4cCH69u0LXV1dGBoayhwvLi6Gh4cHTE1NIRQKYWZmhs8//xylpaW81IcQQkgT1YRX++WLwi0k3t7eqKysRFJSEqysrFBYWIi0tDQUFxfzUT8plZWV8PX1hbOzM9atWydzXE1NDV5eXoiOjoaxsTGuXbuGKVOm4N69e9i0aRPv9SOEENJEUGKhcgq1kJSUlCAjIwOLFy/GwIEDYWFhgV69eiEkJAQjR46EpaUlAGD06NEQCATcawDYvn07HB0doa2tDSsrK0gkEjx7ad4MgUCA1atXY9iwYdDR0YGVlRW2bNkidX2JRIIvvvgCXbt2lVs/IyMjTJo0CU5OTrCwsMDgwYMxefJkZGRkKHKbhBBCSN2ohUTlFEpIRCIRRCIRUlNTUVFRIXP8xIkTAID169ejoKCAe52RkQF/f39Mnz4dOTk5SEhIQGJiIhYuXCh1flhYGLy9vZGVlYWxY8fCz88PFxswoVB+fj62bt2K/v37Kx2DEEIIkUEJicoplJBoaGggMTERSUlJMDQ0hIuLC0JDQ3Hu3DkAgLGxMQDA0NAQYrGYey2RSDBv3jwEBATAysoKbm5uiIqKQkJCglR8X19fBAUFwdbWFlFRUXBycsLKlSsVvqkxY8ZAV1cXbdq0gb6+PtauXatwDEIIIaRWlJConMKdWr29vZGfn48dO3bAw8MD6enpcHR0RGJiYq3nZGVlITIykmthEYlECA4ORkFBAcrLy7lyzs7OUuc5Ozsr1UISHx+P06dPY/v27cjNzcXMmTNrLVtRUYHS0lKpTV7rDyGEEEL4o9TEaNra2nBzc0NYWBiOHDmCwMBARERE1Fq+rKwMEokEZ8+e5bbz58/j6tWr0NbWVrrytRGLxejYsSNGjhyJhIQErF69GgUFBXLLxsTEwMDAQGqLqdFyQwghhEihFhKVU8k8JHZ2dtxQX01NTVTVWOzJ0dERly9fho2NTZ1xMjMz4e/vL/XawcGhQXV7/vw5ANTa6hESEiLTgiK8ebNB1ySEEPKOo8RC5RRKSIqLi+Hr64vx48fD3t4eenp6OHnyJGJjY+Hl5QUAsLS0RFpaGlxcXCAUCmFkZITw8HB4enrC3NwcPj4+UFNTQ1ZWFrKzsxEdHc3FT0lJgZOTE1xdXbFx40YcP35canhvXl4e7t27h7y8PFRVVeHs2bMAABsbG4hEIvz2228oLCxEz549IRKJcOHCBcyePRsuLi5SI35eJhQKIRQKa+5U5G0hhBDS1FBConIKJSQikQi9e/dGfHw8cnNz8fTpU5iZmSE4OBihoaEAgLi4OMycORNr1qxBmzZtcOPGDbi7u2Pnzp2IjIzE4sWLoampiY4dOyIoKEgqvkQiQXJyMiZPngwTExNs3rwZdnZ23PHw8HAkJSVxr6tbTw4cOIABAwZAR0cHa9aswRdffIGKigqYmZnhgw8+wLx585R+gwghhBAZlJConIAxxhq7EsCLeUi2bduGUaNGNXZVgGvX+IttYMBf7JfmdVG5lzofq5yeHn+xAUCDxxUSdHT4i/34MX+x//mHv9h//cVf7MJC/mIvXsxf7AZMX/BKtrb8xf74Y/5iA4C9PX+x/221583168qf266d6urxDqG1bAghhBBFUQuJyik1yoYQQgghRJXemISEMfZmPK4hhBBCXuU1DftdvXo17O3toa+vD319fTg7O2P37t21ll+zZg3ee+89GBkZwcjICEOGDMHx48elygT+X3v3HhdVnf4B/HO4CNooaFigcglIERMVEQQUTSXxSol4SUXXdHe1fpm+stQCG1BRzLTVMtZLsK63RQNvGSpC4YXEC3gnsxQVRARB5Q7z/P5w5ywjIDPDHGHweb9evHQOMx+eOXBmnvme8z1n2jQIgqDy5efnp9Vq0KUm05AwxhhjeuM5NSSdOnXC8uXLcebMGZw+fRqDBg2Cv78/Ll26VOv9k5KSMHHiRCQmJuLkyZOwtrbGW2+9hTt37qjcz8/PD9nZ2eLX9u3btV4VusLHkDDGGGOaek7HkIwaNUrl9tKlS7F+/XqkpKSgW7duNe6/detWldsbN27E7t27kZCQoHKeLxMTE1haWkpTtJZ4hIQxxhjTVANGSLS9ZElVVRV27NiBoqKiGpdaqUtxcTEqKirQrl07leVJSUl45ZVX0KVLF8yaNQt5eXlarQZd4hGS583QULrsp86Qq1MGEvauxsbSZQOABJcnEEk57VfK9SLl34pMJl22lHW7ukqXLWXdv/0mXfbhw9JlA9JP+ZdSA0ZIwsPDIZfLVZYtXrwYX3zxRa33v3DhAjw9PVFaWgqZTIbY2FiVc3Q9y6effooOHTpgyJAh4jI/Pz+MGTMGr732Gq5fv45FixZh2LBhOHnyJAylfI+qBzckjDHGmKYa0JDUesmSZ5whvEuXLkhLS0NhYSF27dqFqVOn4ueff663KVm+fDl27NiBpKQklevGTZgwQfx/9+7d4eLiAgcHByQlJWHw4MFaPquG44aEMcYY01QDGpJaL1nyDC1atBCvBde7d2+kpqbi66+/RuQzLgT75ZdfYvny5Thy5Ahc6jkBnb29PSwsLPD7779zQ8IYY4wx9SgUimcecxIREYGlS5ciPj4ebm5u9ebdvn0beXl5sLKy0mWZGuOGhDHGGNPUc5pls3DhQgwbNgw2NjZ49OgRtm3bhqSkJMTHxwMAgoKC0LFjR4SHhwMAVqxYgZCQEGzbtg12dna4e/cugCfXopPJZHj8+DHkcjkCAgJgaWmJ69ev45NPPoGjoyOGDh36XJ5TXbghYYwxxjT1nBqSe/fuISgoCNnZ2TAzM4OLiwvi4+Ph6+sLAMjMzIRBtUkH69evR3l5OcaOHauSozxo1tDQEOfPn0d0dDQKCgrQoUMHvPXWWwgLC9NoN5IUNG5IcnNzERISggMHDiAnJwdt27ZFjx49EBISAm9vb0kvkrd06VIcOHAAaWlpaNGiBQoKCuq8b15eHnr06IE7d+7gwYMHMDc313k9jDHGXlDPqSHZtGnTM7+flJSkcvvGjRvPvH/Lli3F0ZWmRuOGJCAgAOXl5YiOjoa9vT1ycnKQkJDwXOYwl5eXIzAwEJ6envX+kt577z24uLjUODsdY4wx1mB8cT2d0+jkEgUFBUhOTsaKFSvw5ptvwtbWFu7u7li4cCFGjx4NOzs7AMA777wDQRDE2wCwZ88euLq6wtTUFPb29pDL5aisrBS/LwgC1q9fj2HDhqFly5awt7fHrl27VH6+XC7H3Llz0b1792fWuX79ehQUFODjjz/W5Okxxhhj6nlOp45/kWjUkCgPiomLi6v1CN/U1FQAwPfff4/s7GzxdnJyMoKCgjBnzhxcvnwZkZGRiIqKwtKlS1UeHxwcjICAAKSnp2PSpEmYMGECrly5otETunz5MkJDQ/Gvf/1LZb8aY4wxpjPckOicRu/YRkZGiIqKQnR0NMzNzeHt7Y1Fixbh/PnzAID27dsDAMzNzWFpaSnelsvlWLBgAaZOnQp7e3v4+voiLCysxhzqwMBAzJgxA507d0ZYWBjc3Nywdu1atesrKyvDxIkTsXLlStjY2Gjy1BhjjDHWiDQeQggICEBWVhb27t0LPz8/JCUlwdXVFVFRUXU+Jj09HaGhoeIIi0wmw8yZM5GdnY3i4mLxfk+fm9/T01OjEZKFCxeia9eumDx5stqP0faaAowxxl5gPEKic1rt0zA1NYWvry+Cg4Nx4sQJTJs2DYsXL67z/sp5z2lpaeLXhQsXcO3aNZXT2TbU0aNHERMTAyMjIxgZGYlnnLOwsKizvvDwcJiZmal8hT/j7HeMMcYYNyS6p5PzkDg7OyMuLg4AYGxsjKqnLiTl6uqKjIwM8dS3dUlJSVG5PHJKSgp69eqldh27d+9GSUmJeDs1NRXTp09HcnIyHBwcan1MrdcUuHVL7Z/JGGPsBcSNhc5p1JDk5eUhMDAQ06dPh4uLC1q3bo3Tp08jIiIC/v7+AAA7OzskJCTA29sbJiYmaNu2LUJCQjBy5EjY2Nhg7NixMDAwQHp6Oi5evIglS5aI+TExMXBzc0O/fv2wdetWnDp1SmV6b2ZmJvLz85GZmYmqqiqkpaUBABwdHSGTyWo0Hffv3wcAdO3atc7zkNR6TYFGPjkMY4yxJo4bEp3TqCGRyWTw8PDA6tWrcf36dVRUVMDa2hozZ87EokWLAACrVq3CvHnzsGHDBnTs2BE3btzA0KFDsX//foSGhmLFihUwNjaGk5MTZsyYoZIvl8uxY8cOzJ49G1ZWVti+fbvK1QxDQkIQHR0t3laOniQmJmLgwIHargPGGGNMM9yQ6JxARNTYRQCQ9AyvGvv9d+my27WTLru8XLrsarvCdE7qs+jq8DilGlq2lC672nl6dO7BA+myMzKkyy4slC57+3bpsv97CgRJ/PabdNn9+0uXDQBjxkiX/dFH0mUDwKNH2j+2dWvd1dGM8LVsGGOMMU3xCInO8ZnDGGOMMdbomswISRPZc8QYY4zVj0dIdK7JNCSMMcaY3uCGROe4IWGMMcY0xQ2JznFDwhhjjGmKGxKd44akNq1aSZct5UnXpDwOp6JCumypSVl7ixbSZUs57VehkC5bynUik0mX3bu3dNldukiXffiwdNnJydJlA0BurnTZUk/75YZE57ghYYwxxjTFDYnO8bRfxhhjjDU6HiFhjDHGNMUjJDrHDQljjDGmKW5IdI4bEsYYY0xT3JDonMbHkOTm5mLWrFmwsbGBiYkJLC0tMXToUBw/fhzAk4vkxcXF6bpOAMDSpUvh5eWFVq1awbyOC7IJglDja8eOHZLUwxhj7AUlCNp/sVppPEISEBCA8vJyREdHw97eHjk5OUhISEBeXp4U9akoLy9HYGAgPD09sWnTpjrv9/3338PPz0+8XVfzwhhjjGmFGwud02iEpKCgAMnJyVixYgXefPNN2Nrawt3dHQsXLsTo0aNhZ2cHAHjnnXcgCIJ4GwD27NkDV1dXmJqawt7eHnK5HJXVzrMgCALWr1+PYcOGoWXLlrC3t8euXbtUfr5cLsfcuXPRvXv3Z9Zpbm4OS0tL8ctUysvPM8YYe/HwCInOadSQyGQyyGQyxMXFoaysrMb3U1NTATwZocjOzhZvJycnIygoCHPmzMHly5cRGRmJqKgoLF26VOXxwcHBCAgIQHp6OiZNmoQJEybgypUrGj+p999/HxYWFnB3d8fmzZv5wn2MMcZYE6dRQ2JkZISoqChER0fD3Nwc3t7eWLRoEc6fPw8AaN++PYD/jVAob8vlcixYsABTp06Fvb09fH19ERYWhsjISJX8wMBAzJgxA507d0ZYWBjc3Nywdu1ajZ5QaGgo/vOf/+Dw4cMICAjA7NmzNc5gjDHG2POl1TEkI0aMQHJyMlJSUnDw4EFERERg48aNmDZtWq2PSU9Px/Hjx1VGRKqqqlBaWori4mK0+u+p2j09PVUe5+npibS0NI3qCw4OFv/fq1cvFBUVYeXKlfjwww9rvX9ZWVmN0R6TsjKYSHmKd8YYY4yp0OpMraampvD19UVwcDBOnDiBadOmYfHixXXe//Hjx5DL5UhLSxO/Lly4gGvXrkl+fIeHhwdu375d6y4mAAgPD4eZmZnKV/i6dZLWxBhjjDFVOjkPibOzszjV19jYGFVVVSrfd3V1RUZGBhwdHZ+Zk5KSgqCgIJXbvXr1alBtaWlpaNu2bZ0jHgsXLsS8efNUlpk8hxlDjDHGGPsfjRqSvLw8BAYGYvr06XBxcUHr1q1x+vRpREREwN/fHwBgZ2eHhIQEeHt7w8TEBG3btkVISAhGjhwJGxsbjB07FgYGBkhPT8fFixexZMkSMT8mJgZubm7o168ftm7dilOnTqlM783MzER+fj4yMzNRVVUl7s5xdHSETCbDvn37kJOTg759+8LU1BSHDx/GsmXL8PHHH9f5nExMTGo2K48fa7JaGGOMMdZAGjUkMpkMHh4eWL16Na5fv46KigpYW1tj5syZWLRoEQBg1apVmDdvHjZs2ICOHTvixo0bGDp0KPbv34/Q0FCsWLECxsbGcHJywowZM1Ty5XI5duzYgdmzZ8PKygrbt2+Hs7Oz+P2QkBBER0eLt5WjJ4mJiRg4cCCMjY3xzTffYO7cuSAiODo64quvvsLMmTO1XkGMMcYYk55ATWROrCAIiI2Nxdtvv93YpQBZWdJlm5lJl11aKl12cbF02TKZdNkAYGgoXfZLL0mXXVEhXXZhoXTZN29Kl11SIl322bPSZUs56nr4sHTZycnSZQOAk5N02VqcMoI1Lq0OamWMMcYY0yVuSBhjjDHW6JrM1X6byJ4jxhhjjDUCHiFhjDHGWKPjhoQxxhhjjY4bEsYYY4w1uiZzDEmT0qaNdNkGEvaAUk5BlfIU/0+d2VevSDnV+tEj6bLz86XLlnIat5SXbn/tNemypay7dWvpsnNzpcsGgKtXpc1neoVHSBhjjDHW6LghYYwxxlij44aEMcYYY42OGxLGGGOMNTpuSBhjjDHW6DRuSHJzczFr1izY2NjAxMQElpaWGDp0KI4fPw7gyUXy4uLidF0nAGDp0qXw8vJCq1atYG5uXuf9oqKi4OLiAlNTU7zyyit4//33JamHMcYYY7qh8bTfgIAAlJeXIzo6Gvb29sjJyUFCQgLy8vKkqE9FeXk5AgMD4enpiU2bNtV6n6+++gqrVq3CypUr4eHhgaKiIty4cUPy2hhjjDGmPYE0uIhMQUEB2rZti6SkJAwYMKDG9+3s7HCz2qXHbW1txWZgz549kMvluHz5Mjp06ICpU6fis88+g5HRk55IEAR8++232Lt3L5KSkmBlZYWIiAiMHTu2xs+JiorCRx99hIKCApXlDx48QMeOHbFv3z4MHjxY3adVk5SXCjc0lC5bynMdSHmuEH0+D4mUv099PQ+JlIqKpMu+c0e6bCm3zT//lC47MlK6bEDa85Dw9dH0jka7bGQyGWQyGeLi4lBWVlbj+6mpqQCA77//HtnZ2eLt5ORkBAUFYc6cObh8+TIiIyMRFRWFpUuXqjw+ODgYAQEBSE9Px6RJkzBhwgRcuXJF7foOHz4MhUKBO3fuoGvXrujUqRPGjRuHW7duafI0GWOMMfacadSQGBkZISoqCtHR0TA3N4e3tzcWLVqE8+fPAwDat28PADA3N4elpaV4Wy6XY8GCBZg6dSrs7e3h6+uLsLAwRD7VfQcGBmLGjBno3LkzwsLC4ObmhrVr16pd3x9//AGFQoFly5ZhzZo12LVrF/Lz8+Hr64vy8nJNnipjjDHGniOND2oNCAhAVlYW9u7dCz8/PyQlJcHV1RVRUVF1PiY9PR2hoaHiCItMJsPMmTORnZ2N4uJi8X6enp4qj/P09NRohEShUKCiogL/+Mc/MHToUPTt2xfbt2/HtWvXkJiYWOtjysrK8PDhQ5Wv2kZ/GGOMMSYdrab9mpqawtfXF8HBwThx4gSmTZuGxYsX13n/x48fQy6XIy0tTfy6cOECrl27BlMdXiPFysoKAODs7Cwua9++PSwsLJCZmVnrY8LDw2FmZqbyFb5qlc5qYowxxlj9dHJxPWdnZ3Gqr7GxMaqeOkjR1dUVGRkZcHR0fGZOSkoKgoKCVG736tVL7Tq8vb0BABkZGejUqRMAID8/H/fv34etrW2tj1m4cCHmzZunssykokLtn8kYY4yxhtOoIcnLy0NgYCCmT58OFxcXtG7dGqdPn0ZERAT8/f0BPJlpk5CQAG9vb5iYmKBt27YICQnByJEjYWNjg7Fjx8LAwADp6em4ePEilixZIubHxMTAzc0N/fr1w9atW3Hq1CmV6b2ZmZnIz89HZmYmqqqqkJaWBgBwdHSETCZD586d4e/vjzlz5uCf//wn2rRpg4ULF8LJyQlvvvlmrc/JxMQEJiYmqgulnGXDGGOMsRo0mvZbVlaGL774AocOHcL169dRUVEBa2trBAYGYtGiRWjZsiX27duHefPm4caNG+jYsaM47Tc+Ph6hoaE4d+4cjI2N4eTkhBkzZmDmzJlPChEEfPPNN4iLi8Mvv/wCKysrrFixAuPGjRN//rRp0xAdHV2jrsTERAwcOBAA8PDhQ8ydOxc//PADDAwMMGDAAHz99dewtrZWf63wtN+aeNpv7Xja7/PF035r4mm/teNpv3pHo4ZESoIgIDY2Fm+//XZjl8INSW24IakdNyTPFzckNXFDUrum8dbGNMDXsmGMMcZYo+OGhDHGGGONTiezbHShiew5Yowxxlgj4BESxhhjjDU6bkgYY4wx1ui4IWGMMcZY4yPWIKWlpbR48WIqLS3lbM7m7CaUz9mczfRLkzkPib56+PAhzMzMUFhYiDZt2nA2Z3N2E8nnbM5m+oV32TDGGGOs0XFDwhhjjLFGxw0JY4wxxhodNyQNZGJigsWLF9e8YjBnczZnN2o+Z3M20y98UCtjjDHGGh2PkDDGGGOs0XFDwhhjjLFGxw0JY4wxxhodNySMMcYYa3TckDDGGGOs0XFDwlgDVVRUNHYJWpFqgl31XH2axCdlrc9jnejTulaqqqoCoJ+1M93jhuQpyg1DoVA8t5+lD9kFBQU6zavu3LlzyMnJkSQ7MTERFy5ckCQbAHbu3Ik1a9YA0P06Ly0txaNHj3SaWZ0gCJLklpSUAAAqKyshCILOtyWptk1l7tP/6sKjR49QVlaG0tJSna+TtLQ0AE9+n7r+Gzxw4ACSk5N1mqm0d+9ehIeHi+uEMW5InnLz5k0AgIGBgc5f+E6ePIkNGzZg7dq1OHPmjE5fQOLj47Fw4UIEBQVh//79Os3esmULPD09cfr0aZ3kVffNN99g9OjRKCws1Hn2pk2bMHHiRPz4448oKirSef7333+PiRMnIjg4GFeuXNHpi2pMTAwmT54MDw8PLF68WKeNyaFDh7Bs2TIsWLAAe/fu1emb2I4dOzB+/HgMHDgQU6ZMwbVr12BgoJuXmaNHj+LKlSuSbJv79u3DBx98gFGjRiE0NBQPHjyAgYGBTtZNTEwMxo8fDx8fH7z99tvIzc3V2TqJjY2Fq6srZsyYAUC3TUlkZCRGjRqls1qr27RpE6ZMmQKZTIbc3Fxx+fP4IMiasOd5aeGmbsuWLSQIAq1Zs0ZcVlVVpZPsTZs2UYcOHcjLy4ucnZ2pU6dO9PPPP+ske+PGjWRhYUGBgYHk5+dHgiBQcnJyg3MVCgUREQ0ZMoQEQaDXX3+dTp8+3eBcpe+++46MjIxo+/btOstUio2NpZdeekmSbKIntRsaGlJoaCi5ubnRN998Q0RElZWVDc6OioqiNm3a0IIFC+izzz4jQRAoKiqqwblERJs3byYzMzMaO3Ysvf322yQIAk2dOpVOnTrV4Ozt27eTiYkJhYaG0v/93//R4MGDSSaT0ZYtW6i4uLhB2Tt37iRBEMjFxYUuXLhARLrbNjdv3kytW7em+fPnk7+/P/Xr14/+9re/UXl5uU6yW7VqRStWrKBly5aRp6cnzZo1S/x+Q5/Dtm3byMnJiV5++WUaP358Q8sVbdiwgYyNjSkmJqbW7zek7hMnTtCrr75KW7ZsISKi8vJyqqyspNLSUq0zWfPADcl/JSUlkZ2dHfn4+FC7du102pTs2bOH2rVrRzt37qSysjLKyMigiRMn0uzZs6mqqqpB+TExMWRhYUG7du0ihUJBeXl55OXlRUePHm1QzUT/e95yuZzWrFlDU6ZMoQ4dOlBKSkqDs6Ojo8nAwIDi4uKIiCgrK4sSEhLohx9+oLS0tAbnf/TRRxQSEkJERFevXqWQkBAaN24cffXVV3T+/PkGZa9bt45MTExo7969REQ0ZcoUcnBwoLKysgbXfeXKFXr99ddV3gjee+892rRpEz169KhB2enp6WRra0u7d+8Wl/373/8mQRAoICCAjh07plWuQqGg8vJyGjFiBH366afi8srKSpo3bx4ZGxvTpk2bxAZXUykpKeTq6kqTJk2iUaNGkbu7u86aksTERLKxsaGdO3eKy7788kvq0aMHPXjwoEHZ+/fvp44dO6r8Lj/88EMKCwuj4uJievz4cYPyiZ5s/0OGDKFffvmF2rZtS++++674vT/++EOrzKioKBIEgbZu3UpERNevX6d//OMf9MEHH9CyZcvo3r17RKT9ut+0aRONHj2aiIguX75MI0eOJHd3d7K3t6fNmzdTTk6OVrlM/3FDQkQlJSX02Wef0V//+lc6c+YMhYaGUuvWrXXSlOTn59OECRPok08+UVkeFhZG3bt3b1DdDx48IF9fX1q2bJnKcnd3dxo3bhy99dZbtGrVKsrPz2/Qz1m9ejUFBgZScXExDR48mKytrenXX3+l8ePH0+HDhzXKUigUlJubSy+//DJ5eHhQUVERXb16ldzc3OiNN94gS0tLMjQ0pNWrV2tdb1VVFfn4+FBERARlZmaSra0tjR49msaOHUuWlpY0atQoSkhI0Cr7zJkzJAgC7dq1S1x29uxZcnBwoO+++07rmqvnOzk5qTRN7u7u5O3tTZaWljR9+nT66aeftMpOTEwkNzc3ys/PFz+Vnjt3jrp27UpWVlY0adIkrUYFlA2Jh4cHhYeHE5HqSNH8+fOpVatWYiOr6bb0448/0pgxY+jKlSt05MgRGjFihEpTou2oVEVFBa1atYomT55MhYWFYk52djZZWVnRuXPntMpVWr9+Pc2bN09ldGjQoEHUuXNneuONN6hLly70yy+/EJH2ry9ZWVk0bNgwKisro9jYWDI3N6d3332XPD09ac2aNVRRUaFx5qeffkqCINDRo0cpNTWVXnvtNRo2bBj16tWLevbsSVZWVnTz5k2t646IiKDAwEDKz8+nTp060QcffEAbNmyguXPnUrt27Wj58uUN/qDG9BM3JP916dIlSkxMJCKinJwcksvlNZoSbT7hFRcX05dffil+mlZmHDp0iJydnamsrKxBG96FCxdURhRGjx5NHTp0oPnz51NwcDAJgkCff/65VtnKWg8fPkzDhg0Tlw8dOpQMDQ3J1dWVHj58qFX2wYMH6fXXX6dRo0aRtbU1ffTRR3Tp0iX6888/afXq1SQIAu3YsUOr7KqqKpoyZQp99tlntG7dOvr73/8ujl6kp6dT7969acaMGVpl379/n65evUpE/1s/jx49okGDBtGIESO0yqzu3LlzJAgCffHFF5SQkECjRo0iBwcH2rJlC23dupXc3NwoMDBQq0/XBw8eJAMDA7p48aK4bOvWrTRu3DiKiYkhQRBoz549Wtc+depU6tq1K5WUlBARqTQ3gYGB1KtXLyoqKtIq+/Lly+L/f/rpJxo+fDi5u7urNG7avPnu27ePDh48KN6uqqqi7OxsateuXa27sTTZVsvLyykzM1O8PWXKFLK1taW4uDhKTEykoKAgeuWVVxo0IpCTk0PW1tZirfv27aMWLVqQubm5OKKmzevLhx9+SIIgkJWVFS1atEgcLcrIyKCBAwdS3759td4Nt3nzZnr55ZfpP//5D02bNk2loVy5ciW1atWK/vzzT62ymX7jhqQOd+/erdGU5OTkUFRUFBUUFGiUlZubK/5f+SaWkpJCXbt2VRmGP3PmTINqPnz4MAUGBtL169fFZatWraK2bdtSTk6O1kPm+fn51KdPH6qoqCCFQkHdunUjCwsL6tChg8afIhUKhVjHTz/9RJaWlvSXv/ylxovb+PHjaejQoVRSUqJV3Vu3biVBEKhLly4UHBws/mwiot27d5Opqan4Ka8hlC/2v/zyC5mYmFBsbGyDMyMjI+nVV1+lgIAAat++vcqbcXx8PAmCQKmpqRrnFhQUUEBAADk6OlJ4eDh9/vnnJAiCuC//nXfeEXe51LfOld+v/kn2119/JTc3N5o5c2aNpmT37t1ka2tLN27cqLfO6tl11REfHy82JRcvXqSKigoaM2aMOGpSX7byTbD6m7Xye6WlpWRvby+O6CgUClqwYEG9u3Cq1/203NxcWrhwocrzP3/+PJmZmak1ylhbtvL/I0aMEP9GunXrRm+88QaZm5vT1KlT6819Ort6c/DJJ59Q//79KSsrS+X3EBkZSZ06dVJptjSpm4jIx8eHWrZsSX379hVH64ie/F5sbGxURiDZi+OFbUjq+tRQfYPMzs4muVxOZmZmtHTpUvLx8aEuXbrU+4lDnez4+Hiys7MTbw8YMIAcHByI6NlvBvX9bOUnZ2XGqlWraMiQIWp9SqrtPpWVlXT37l3q168fpaamkoeHBw0cOJBu3rxJI0aMIENDQ3HEQNNsIqLU1FQ6dOhQjeWTJ0+mCRMm1JtbV3Z5eTnNmTOHBEGgv/3tb+IbJBFRQkICeXl5qd1Y1lV79d9TTk4ODRgwgGbPnv3Mx6ibnZ+fT2fPniUPDw8qKSkR/3aUx1Nou85TUlLogw8+oC5dulDfvn3FBkqhUNCgQYPoww8/VKvu6p9glT+nvLycIiIiqE+fPjR79myV0ZBff/2VunTpQr/99ptW2UrV13l8fDyNHDmS3NzcqFevXvTKK6/UO0pSPbuuXT1VVVXk6OgoHsA9bNgwsrOzq3fXUF11P/2mrPz3+PHj1KdPH7V+l89aJ3PmzKFPP/2UevToQf3796e7d++KjatcLtc4u/rzrD6aply+bds26tu3L+Xl5Wld9w8//EBubm5kaWlJV65cEZdnZ2eTi4uLTo6BY/rnhWxIqm8YGRkZdPbsWSorKxM3uOovavfu3RP3qbq5uYmf+OpqGurLVv4bHx9PXbp0ofLycho+fDh169at3v339WU//YmytLSURowYQe+//77W60S5Lt59910SBIEGDBggHtRWVFRE8+bNq/eFurbskpISMfvpF9jHjx/TkCFDKCwsTOu6FQoFZWVl0dSpU8nIyIiWLFlCZ8+epTt37tCoUaNo+PDhao28qPv7JCL6+uuv6aWXXlLrTbeu7OrNx8mTJ0kmk4kjZ48ePaLRo0er1WA+nX369GmVv4+8vDwqLCwU75Ofn08+Pj60fv36euuubTaa8ndZXFxMS5YsIXd3d/Lx8aFff/2VkpKSaPjw4TRw4MB661Znplv135ty9o3ykzZR3Y2Gutm5ubnUsWNHSk5OpsDAQOrcubPOspXKyspo5MiR5O/vr/U6UT5u5cqVJAgCDR8+XNw2FQoFnThxot4Grb7sp5WVlZGfnx9Nnjy53u2ntmzl+isvL6cdO3aQk5MTWVpa0saNG2nr1q00atQo8vLy0slsNaZ/XsiGRGn+/Plka2tLpqam1KdPH5o/f744wqDckAsKCqhnz57Uu3dvcZk6+6qflU1EdPr0aXJ2dqY+ffqQvb29+IKni+zS0lK6dOkSjRw5klxcXMRMdd6Aa8suLS2lHTt20N///ne6e/durY9T5wVEk7p79uyp0TEB1bPd3NxowYIFVFxcTKWlpSSXy6lNmzZkZWVFzs7O5O7uLq5vdUcynlW7Muvhw4dka2tLoaGhatddV7by2JxJkyaRoaEheXt7k6urq0pTrE7tT6+X+fPnq+wmLC4uprNnz9KwYcOoR48e9a7zZ81GU9ZVWlpKe/fupcGDB1Pr1q2pW7duNGDAgHrr1nSmW2FhIQ0YMIDeeOONerdNTbILCwvJ3t6e2rVrR05OTvVum5pkl5aWUmJiIvn5+VH37t0btE6U21xhYSGtXLmyzmNRdFF3SUkJJSQkkK+vr1qvKc/KVj62srKSLl++TEFBQeTg4EBubm40evToeps/1ny9UA1J9Y1s27ZtZGtrS/v27aPU1FSaP38+eXp60uTJk8Wh5vLycgoNDaXevXvX+6Kkafbhw4dJEATJsocOHUo+Pj71btz1ZXt4eNB7772n1ewLTev+6aefyMfHh7y8vHRSd1BQkJh98eJFOnbsGP3888+1joQ1tHaiJy/OGzZs0GjEqK7sKVOmUElJCRUVFVFkZCR9/PHHtHbt2nrfeDWt++bNmzRhwgQaMmRIvetcndloT/+dXLp0iW7fvi3WVVfd2sx0O3jwIPn6+ta7/WiaXVxcTJ0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    " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = sns.heatmap(data = selected_hic_map[\"log10_normalized_counts\"], cmap=\"bright_red\", square=True,\n", " vmax=np.nanquantile(selected_hic_map[\"log10_normalized_counts\"], 0.95),\n", " cbar_kws={\"shrink\": 0.8, \"label\": \"log10(normalized counts)\"},\n", " xticklabels=list(tp_names.values()),\n", " yticklabels=list(tp_names.values()))\n", "\n", "plt.setp(g.get_xticklabels(), rotation=45, ha='right')\n", "plt.title(f\"Hi-C log10(normalized counts @{resolution2use:,}kb)\\n(chr{chrom2use}:{start_walk:,}-{end_walk:,})\")\n", "\n", "if save_plots:\n", " filename = f'hi_c_normalized_counts_{start_walk}_{end_walk}' + (f\"_{file_suffix}\" if file_suffix != '' else '') + '.pdf'\n", " plot_filename = Path(plots_folder, filename)\n", " print(f\"Saving plots to: {plot_filename}\")\n", " plt.savefig(plot_filename, **plot_opts)\n", " del filename, plot_filename\n", "else:\n", " plt.show()\n", "\n", "plt.close()\n", "\n", "del g" ] }, { "cell_type": "markdown", "id": "0b156e81", "metadata": {}, "source": [ "### Compare the HiC and proximity frequency ensembl matrices" ] }, { "cell_type": "markdown", "id": "5c7d7505", "metadata": {}, "source": [ "To do the comparison we use pearson correlation, stratum adjusted correlation and spearman correlation to compare the log10(normalized counts) of the HiC matrix with the frequency map ensembl matrix. \n", "As we calculate the frequency map over different cut-offs we do this correlations along this different cut-offs and plot them.\n", "\n", "[Back to section index](#proximity-frequency-ensemble-matrix)" ] }, { "cell_type": "code", "execution_count": 16, "id": "a6564df1", "metadata": {}, "outputs": [ { "data": { "application/vnd.microsoft.datawrangler.viewer.v0+json": { "columns": [ { "name": "index", "rawType": "int64", "type": "integer" }, { "name": "cutoff", "rawType": "int64", "type": "integer" }, { "name": "ccc_pearson", "rawType": "float64", "type": "float" }, { "name": "ccc_stratum_adjusted", "rawType": "float64", "type": "float" }, { "name": "ccc_spearman", "rawType": "float64", "type": "float" } ], "ref": "bb0210b3-b5ca-47cb-9b5b-57f75914844a", "rows": [ [ "0", "200", "0.7963992989574238", "0.20956437582014267", "0.7455090585117525" ], [ "1", "300", "0.8760462302355342", "0.06820533281596056", "0.7133378227692101" ], [ "2", "400", "0.9413926954877989", "0.3427496999670475", "0.8085211774374027" ], [ "3", "500", "0.9683439953995602", "0.3198245736097447", "0.8764285088432984" ], [ "4", "600", "0.9739998911173715", "0.5366632540558322", "0.9067454594977649" ], [ "5", "700", "0.9584060025921773", "0.6374393641756745", "0.9378856818625743" ], [ "6", "800", "0.9402910059600877", "0.7098410142634938", "0.9433248411611571" ], [ "7", "900", "0.9196433889635383", "0.667688925024649", "0.9443047363510999" ], [ "8", "1000", "0.8942712741040286", "0.6035985818080261", "0.941210852116272" ] ], "shape": { "columns": 4, "rows": 9 } }, "text/html": [ "
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    " ], "text/plain": [ " cutoff ccc_pearson ccc_stratum_adjusted ccc_spearman\n", "0 200 0.796399 0.209564 0.745509\n", "1 300 0.876046 0.068205 0.713338\n", "2 400 0.941393 0.342750 0.808521\n", "3 500 0.968344 0.319825 0.876429\n", "4 600 0.974000 0.536663 0.906745\n", "5 700 0.958406 0.637439 0.937886\n", "6 800 0.940291 0.709841 0.943325\n", "7 900 0.919643 0.667689 0.944305\n", "8 1000 0.894271 0.603599 0.941211" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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", "text/plain": [ "
    " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ccc_df = defaultdict(list)\n", "\n", "for cutoff,fr_map in freqmap_dict.items():\n", "\n", " if \"zscore\" in str(cutoff):\n", " continue\n", "\n", " corr_pers = pearson_corr(selected_hic_map[\"log10_normalized_counts\"], fr_map)\n", " corr_scc = scc(selected_hic_map[\"log10_normalized_counts\"], fr_map)\n", " corr_sp = spearman_corr(selected_hic_map[\"log10_normalized_counts\"], fr_map)\n", "\n", " ccc_df[\"cutoff\"].append(cutoff)\n", " ccc_df[\"ccc_pearson\"].append(corr_pers)\n", " ccc_df[\"ccc_stratum_adjusted\"].append(corr_scc)\n", " ccc_df[\"ccc_spearman\"].append(corr_sp)\n", "\n", "ccc_df = pd.DataFrame(ccc_df)\n", "display(ccc_df)\n", "\n", "plt.figure(figsize=(10, 3))\n", "\n", "sns.lineplot(data = ccc_df, x=\"cutoff\", y=\"ccc_pearson\", label='Pearson CCC')\n", "sns.lineplot(data = ccc_df, x=\"cutoff\", y=\"ccc_stratum_adjusted\", label='Stratum Adjusted CCC')\n", "sns.lineplot(data = ccc_df, x=\"cutoff\", y=\"ccc_spearman\", label='Spearman CCC')\n", "\n", "plt.ylim(0, 1)\n", "plt.xlabel('Cutoff (nm)')\n", "plt.ylabel('Cross correlation coefficient (CCC)')\n", "plt.xticks(ticks=ccc_df[\"cutoff\"], labels=ccc_df[\"cutoff\"])\n", "plt.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0.)\n", "\n", "sns.despine()\n", "plt.tight_layout()\n", "\n", "if save_plots:\n", " filename = f'lineplot_correlations_hic_proximity_freq' + (f\"_{file_suffix}\" if file_suffix != '' else '') + '.pdf'\n", " plot_filename = Path(plots_folder, filename)\n", " print(f\"Saving plots to: {plot_filename}\")\n", " plt.savefig(plot_filename, **plot_opts)\n", " del filename, plot_filename\n", "else:\n", " plt.show()\n", "\n", "plt.close()\n", "\n", "del cutoff, fr_map, corr_pers, corr_scc, corr_sp" ] }, { "cell_type": "markdown", "id": "8880edb0", "metadata": {}, "source": [ "#### lineplot of the 3 different measures for correlation between the HiC and the ensembl across the different cut-offs" ] }, { "cell_type": "code", "execution_count": 17, "id": "91ce5413", "metadata": {}, "outputs": [ { "data": { "image/png": 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    " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(3, 1, figsize=(10, 10), sharey=True)\n", "\n", "# Panel A - CCC Pearson\n", "sns.lineplot(data = ccc_df, x=\"cutoff\", y=\"ccc_pearson\", color=\"tab:blue\", ax=axes[0])\n", "# Add a vertical line at the highest CCC Pearson value\n", "max_value = ccc_df.loc[ccc_df[\"ccc_pearson\"].idxmax(), \"cutoff\"]\n", "axes[0].axvline(x=max_value, color='gray', linestyle='--', alpha = 0.25)\n", "axes[0].set_title(\"Pearson CCC\")\n", "axes[0].set_xlabel(\"Cutoff (nm)\")\n", "axes[0].set_xticks(ccc_df[\"cutoff\"])\n", "axes[0].set_ylabel(\"Cross correlation coefficient (CCC)\")\n", "axes[0].set_ylim(0, 1)\n", "sns.despine(ax=axes[0])\n", "\n", "# Panel B - SCC\n", "sns.lineplot(data = ccc_df, x=\"cutoff\", y=\"ccc_stratum_adjusted\", color=\"tab:orange\", ax=axes[1])\n", "max_value = ccc_df.loc[ccc_df[\"ccc_stratum_adjusted\"].idxmax(), \"cutoff\"]\n", "axes[1].axvline(x=max_value, color='gray', linestyle='--', alpha = 0.25)\n", "axes[1].set_title(\"Stratum-adjusted CCC\")\n", "axes[1].set_xlabel(\"Cutoff (nm)\")\n", "axes[1].set_xticks(ccc_df[\"cutoff\"])\n", "axes[1].set_ylabel(\"Cross correlation coefficient (CCC)\")\n", "sns.despine(ax=axes[1])\n", "\n", "# Panel C - Spearman CCC\n", "sns.lineplot(data = ccc_df, x=\"cutoff\", y=\"ccc_spearman\", color=\"tab:green\", ax=axes[2])\n", "max_value = ccc_df.loc[ccc_df[\"ccc_spearman\"].idxmax(), \"cutoff\"]\n", "axes[2].axvline(x=max_value, color='gray', linestyle='--', alpha = 0.25)\n", "axes[2].set_title(\"Spearman CCC\")\n", "axes[2].set_xlabel(\"Cutoff (nm)\")\n", "axes[2].set_xticks(ccc_df[\"cutoff\"])\n", "axes[2].set_ylabel(\"Cross correlation coefficient (CCC)\")\n", "sns.despine(ax=axes[2])\n", "\n", "plt.tight_layout()\n", "if save_plots:\n", " filename = f'lineplot_correlations_hic_proximity_freq_separated' + (f\"_{file_suffix}\" if file_suffix != '' else '') + '.pdf'\n", " plot_filename = Path(plots_folder, filename)\n", " print(f\"Saving plots to: {plot_filename}\")\n", " plt.savefig(plot_filename, **plot_opts)\n", " del filename, plot_filename\n", "else:\n", " plt.show()\n", "plt.close()\n", "\n", "del fig, axes, max_value\n", "# del ccc_df" ] }, { "cell_type": "code", "execution_count": 18, "id": "8f2e5374", "metadata": {}, "outputs": [ { "data": { "application/vnd.microsoft.datawrangler.viewer.v0+json": { "columns": [ { "name": "index", "rawType": "int64", "type": "integer" }, { "name": "cutoff", "rawType": "int64", "type": "integer" }, { "name": "ccc_pearson", "rawType": "float64", "type": "float" }, { "name": "ccc_stratum_adjusted", "rawType": "float64", "type": "float" }, { "name": "ccc_spearman", "rawType": "float64", "type": "float" } ], "ref": "0f8e9121-bb98-4d56-96bd-486351dbaebe", "rows": [ [ "4", "600", "0.9739998911173715", "0.5366632540558322", "0.9067454594977649" ], [ "7", "900", "0.9196433889635383", "0.667688925024649", "0.9443047363510999" ], [ "8", "1000", "0.8942712741040286", "0.6035985818080261", "0.941210852116272" ] ], "shape": { "columns": 4, "rows": 3 } }, "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", "
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    " ], "text/plain": [ " cutoff ccc_pearson ccc_stratum_adjusted ccc_spearman\n", "4 600 0.974000 0.536663 0.906745\n", "7 900 0.919643 0.667689 0.944305\n", "8 1000 0.894271 0.603599 0.941211" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ccc_df[ccc_df[\"cutoff\"].isin([600, 900, 1000])]" ] }, { "cell_type": "markdown", "id": "ccb97769", "metadata": {}, "source": [ "### Correlation between the log10(normalized counts) and the COMs mean distance matrix" ] }, { "cell_type": "markdown", "id": "e9ad3a40", "metadata": {}, "source": [ "[Back to section index](#proximity-frequency-ensemble-matrix)" ] }, { "cell_type": "code", "execution_count": 19, "id": "a9be205f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Pearson correlation coefficient between log10(HiC normalized counts) and COMs distance: -0.9786\n", "Spearman correlation coefficient between log10(HiC normalized counts) and COMs distance: -0.9649\n", "Stratum adjusted correlation coefficient between log10(HiC normalized counts) and COMs distance: -0.7004\n" ] } ], "source": [ "corr_pers = pearson_corr(selected_hic_map[\"log10_normalized_counts\"], mean_combined_mats['coms_distance'])\n", "corr_scc = scc(selected_hic_map[\"log10_normalized_counts\"], mean_combined_mats['coms_distance'])\n", "corr_sp = spearman_corr(selected_hic_map[\"log10_normalized_counts\"], mean_combined_mats['coms_distance'])\n", "\n", "print(f\"Pearson correlation coefficient between log10(HiC normalized counts) and COMs distance: {corr_pers:.4f}\")\n", "print(f\"Spearman correlation coefficient between log10(HiC normalized counts) and COMs distance: {corr_sp:.4f}\")\n", "print(f\"Stratum adjusted correlation coefficient between log10(HiC normalized counts) and COMs distance: {corr_scc:.4f}\")\n", "\n", "del corr_pers, corr_scc, corr_sp" ] }, { "cell_type": "markdown", "id": "9af9f50e", "metadata": {}, "source": [ "### Aggregation of the data in a common dataframe, for ease of use.\n", "\n", "In this cell we create a dataframe to aggregate all the data. \n", "It has the following columns:\n", "\n", "
  • segment1_timepoint: index for the first segment of the pair.\n", "
  • segment1_coordinates: starting coordinate of the first segment of the pair.\n", "
  • segment2_timepoint: index for the second segment of the pair.\n", "
  • segment2_coordinates: starting coordinate of the second segment of the pair.\n", "
  • HiC_raw_counts: raw counts of the HiC matrix for the pair of segments.\n", "
  • HiC_log10_raw_counts: log10 of the raw counts of the HiC matrix for the pair of segments.\n", "
  • HiC_norm_counts: normalized counts of the HiC matrix for the pair of segments.\n", "
  • HiC_log10_norm_counts: log10 of the normalized counts of the HiC matrix for the pair of segments.\n", "
  • HiC_oe_counts: observed vs expected counts of the HiC matrix for the pair of segments.\n", "
  • HiC_log10_oe_counts: log10 of the observed vs expected counts of the HiC matrix for the pair of segments.\n", "
  • mean_coms_distance: mean COMs distances for the pair of segments.\n", "
  • log10_mean_coms_distance: log10 of the mean COMs distances for the pair of segments.\n", "
  • mean_surface_distance: mean of the surface distances for the pair of segments.\n", "
  • log10_mean_surface_distance: log10 of the mean of the surface distances for the pair of segments.\n", "
  • std_coms_distance: standard deviation of the COMs distances for the pair of segments.\n", "
  • log10_std_coms_distance: log10 of the standard deviation of the COMs distances for the pair of segments.\n", "
  • std_surface_distance: standard deviation of the surface distances for the pair of segments.\n", "
  • log10_std_surface_distance: log10 of the standard deviation of the surface distances for the pair of segments.\n", "\n", "[Back to the section index](#proximity-frequency-ensemble-matrix)" ] }, { "cell_type": "code", "execution_count": 20, "id": "e30c72b2", "metadata": {}, "outputs": [ { "data": { "application/vnd.microsoft.datawrangler.viewer.v0+json": { "columns": [ { "name": "index", "rawType": "int64", "type": "integer" }, { "name": "segment1_timepoint", "rawType": "int64", "type": "integer" }, { "name": "segment1_coordinates", "rawType": "int64", "type": "integer" }, { "name": "segment2_timepoint", "rawType": "int64", "type": "integer" }, { "name": "segment2_coordinates", "rawType": "int64", "type": "integer" }, { "name": "HiC_raw_counts", "rawType": "float64", "type": "float" }, { "name": "HiC_log10_raw_counts", "rawType": "float64", "type": "float" }, { "name": "HiC_norm_counts", "rawType": "float64", "type": "float" }, { "name": "HiC_log10_norm_counts", "rawType": "float64", "type": "float" }, { "name": "mean_coms_distance", "rawType": "float64", "type": "float" }, { "name": "log10_mean_coms_distance", "rawType": "float64", "type": "float" }, { "name": "mean_surface_distance", "rawType": "float64", "type": "float" }, { "name": "log10_mean_surface_distance", "rawType": "float64", "type": "float" }, { "name": "std_coms_distance", "rawType": "float64", "type": "float" }, { "name": "log10_std_coms_distance", "rawType": "float64", "type": "float" }, { "name": "std_surface_distance", "rawType": "float64", "type": "float" }, { "name": "log10_std_surface_distance", "rawType": "float64", "type": "float" } ], "ref": "3f535056-bdef-41a6-8a0b-a5107a2ea348", "rows": [ [ "0", "0", "150000000", "1", "150500000", "34247.0", "4.5346352148262525", "29843.8984375", "4.474870105321566", "405.9665922941985", "2.6084902961898964", "12.973983543890494", "1.11307334273849", "182.40195975302618", "2.2610295001401655", "4.304032535986179", "0.6338755456847855" ], [ "1", "0", "150000000", "2", "151000000", "9780.0", "3.9903832589062334", "8320.22265625", "3.9201871428593216", "566.3276431743915", "2.7530677606113416", "120.52582069543692", "2.0810800974028028", "266.65789456969924", "2.4259544457623963", "225.99308581290654", "2.3540951522481275" ], [ "2", "0", "150000000", "3", "151500000", "7661.0", "3.8843421476470588", "6355.33251953125", "3.8032066084252376", "669.6882330087515", "2.8258726680801782", "141.02126026153564", "2.149284591508128", "314.24268905440675", "2.497265182490809", "201.46214703197344", "2.304193458023311" ], [ "3", "0", "150000000", "4", "152000000", "4548.0", "3.657915936829955", "3984.0380859375", "3.6004324764055196", "837.2951671459057", "2.9228785844748377", "248.53445321542245", "2.3953866015368686", "361.24603354423397", "2.5578030872682476", "319.41799614782644", "2.5043593808304054" ], [ "4", "0", "150000000", "5", "152500000", "2693.0", "3.4303975913869666", "2230.45703125", "3.3485885285188353", "959.1674601236979", "2.9818944368459737", "345.562842157152", "2.5385270372973223", "355.39883658345923", "2.5507160017860784", "334.09297609870214", "2.523867345217177" ] ], "shape": { "columns": 16, "rows": 5 } }, "text/html": [ "
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    " ], "text/plain": [ " segment1_timepoint segment1_coordinates segment2_timepoint \\\n", "0 0 150000000 1 \n", "1 0 150000000 2 \n", "2 0 150000000 3 \n", "3 0 150000000 4 \n", "4 0 150000000 5 \n", "\n", " segment2_coordinates HiC_raw_counts HiC_log10_raw_counts \\\n", "0 150500000 34247.0 4.534635 \n", "1 151000000 9780.0 3.990383 \n", "2 151500000 7661.0 3.884342 \n", "3 152000000 4548.0 3.657916 \n", "4 152500000 2693.0 3.430398 \n", "\n", " HiC_norm_counts HiC_log10_norm_counts mean_coms_distance \\\n", "0 29843.898438 4.474870 405.966592 \n", "1 8320.222656 3.920187 566.327643 \n", "2 6355.332520 3.803207 669.688233 \n", "3 3984.038086 3.600432 837.295167 \n", "4 2230.457031 3.348589 959.167460 \n", "\n", " log10_mean_coms_distance mean_surface_distance \\\n", "0 2.608490 12.973984 \n", "1 2.753068 120.525821 \n", "2 2.825873 141.021260 \n", "3 2.922879 248.534453 \n", "4 2.981894 345.562842 \n", "\n", " log10_mean_surface_distance std_coms_distance log10_std_coms_distance \\\n", "0 1.113073 182.401960 2.261030 \n", "1 2.081080 266.657895 2.425954 \n", "2 2.149285 314.242689 2.497265 \n", "3 2.395387 361.246034 2.557803 \n", "4 2.538527 355.398837 2.550716 \n", "\n", " std_surface_distance log10_std_surface_distance \n", "0 4.304033 0.633876 \n", "1 225.993086 2.354095 \n", "2 201.462147 2.304193 \n", "3 319.417996 2.504359 \n", "4 334.092976 2.523867 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Initialize an empty list to store pairs\n", "pairs_df = defaultdict(list)\n", "\n", "# Iterate over the HiC DataFrame to create pairs\n", "for i in range(selected_hic_map[\"normalized_counts\"].shape[0]):\n", " for j in range(i, selected_hic_map[\"normalized_counts\"].shape[1]):\n", " if mean_combined_mats[\"coms_distance\"][i, j] == 0:\n", " continue\n", " pairs_df[\"segment1_timepoint\"].append(i)\n", " pairs_df[\"segment1_coordinates\"].append(start_walk + i * 500000)\n", " pairs_df[\"segment2_timepoint\"].append(j)\n", " pairs_df[\"segment2_coordinates\"].append(start_walk + j * 500000)\n", " pairs_df[\"HiC_raw_counts\"].append(selected_hic_map[\"raw_counts\"][i, j])\n", " pairs_df[\"HiC_log10_raw_counts\"].append(selected_hic_map[\"log10_raw_counts\"][i, j])\n", " pairs_df[\"HiC_norm_counts\"].append(selected_hic_map[\"normalized_counts\"][i, j])\n", " pairs_df[\"HiC_log10_norm_counts\"].append(selected_hic_map[\"log10_normalized_counts\"][i, j])\n", " pairs_df[\"mean_coms_distance\"].append(mean_combined_mats[\"coms_distance\"][i, j])\n", " pairs_df[\"log10_mean_coms_distance\"].append(np.log10(mean_combined_mats[\"coms_distance\"][i, j]))\n", " pairs_df[\"mean_surface_distance\"].append(mean_combined_mats[\"surface_distance\"][i, j])\n", " pairs_df[\"log10_mean_surface_distance\"].append(np.log10(mean_combined_mats[\"surface_distance\"][i, j]))\n", " pairs_df[\"std_coms_distance\"].append(std_combined_mats[\"coms_distance\"][i, j])\n", " pairs_df[\"log10_std_coms_distance\"].append(np.log10(std_combined_mats[\"coms_distance\"][i, j]))\n", " pairs_df[\"std_surface_distance\"].append(std_combined_mats[\"surface_distance\"][i, j])\n", " pairs_df[\"log10_std_surface_distance\"].append(np.log10(std_combined_mats[\"surface_distance\"][i, j]))\n", "\n", "# Create a DataFrame from the pairs list\n", "pairs_df = pd.DataFrame(pairs_df)\n", "\n", "# Print the resulting DataFrame\n", "display(pairs_df.head())\n", "\n", "del i, j" ] }, { "cell_type": "markdown", "id": "f2a7b47f", "metadata": {}, "source": [ "#### Linear regression plot between the log10(HiC normalized counts) and the log10(mean distance)\n", "\n", "The first plot corresponds to the mean COMs distance, the second to the surface distance" ] }, { "cell_type": "code", "execution_count": 21, "id": "3e62a5a6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Correlation between log10(HiC normalized counts) and log10(mean COMs distance): -0.9753\n", "Stratum adjusted CCC between log10(HiC normalized counts) and log10(COMs distance): -0.6956\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
    " ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Pearson correlation between log10(HiC normalized counts) and log10(surface distance): -0.9491\n", "Stratum adjusted CCC between log10(HiC normalized counts) and log10(surface distance): -0.4620\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
    " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print(f\"Correlation between log10(HiC normalized counts) and log10(mean COMs distance): {pearsonr(pairs_df['HiC_log10_norm_counts'], pairs_df['log10_mean_coms_distance']).statistic:.4f}\")\n", "print(f\"Stratum adjusted CCC between log10(HiC normalized counts) and log10(COMs distance): {scc(selected_hic_map['log10_normalized_counts'], np.log10(mean_combined_mats['coms_distance']+1e-10)):.4f}\")\n", "sns.regplot(x = pairs_df[\"HiC_log10_norm_counts\"], y = pairs_df[\"log10_mean_coms_distance\"], ci = 0,\n", " scatter_kws={'s':20}, line_kws={'color':'grey', \"ls\" : \"-\"})\n", "xlims = plt.gca().get_xlim()\n", "ylims = plt.gca().get_ylim()\n", "xticks1 = np.arange(np.ceil(xlims[0]),np.floor(xlims[1])+0.1,1.0)\n", "yticks1 = np.arange(np.ceil(ylims[0]),np.floor(ylims[1])+0.1,1.0)\n", "plt.xticks(xticks1, [f\"$10^{{ {int(xticks1[i]):0.0f} }}$\" for i in range(len(xticks1))])\n", "plt.yticks(yticks1, [f\"$10^{{ {int(yticks1[i]):0.0f} }}$\" for i in range(len(yticks1))])\n", "plt.ylabel('Mean COMs distance')\n", "plt.xlabel('HiC contact frequency')\n", "sns.despine()\n", "if save_plots:\n", " filename = f'correlation_hic_contact_frequency_mean_com_distance' + (f\"_{file_suffix}\" if file_suffix != '' else '') + '.pdf'\n", " plot_filename = Path(plots_folder, filename)\n", " print(f\"Saving plots to: {plot_filename}\")\n", " plt.savefig(plot_filename, **plot_opts)\n", " del filename, plot_filename\n", "else:\n", " plt.show()\n", "plt.close()\n", "\n", "print()\n", "\n", "print(f\"Pearson correlation between log10(HiC normalized counts) and log10(surface distance): {pearsonr(pairs_df['HiC_log10_norm_counts'], pairs_df['log10_mean_surface_distance']).statistic:.4f}\")\n", "print(f\"Stratum adjusted CCC between log10(HiC normalized counts) and log10(surface distance): {scc(selected_hic_map['log10_normalized_counts'], np.log10(mean_combined_mats['surface_distance']+1e-10)):.4f}\")\n", "sns.regplot(x = pairs_df[\"HiC_log10_norm_counts\"], y = pairs_df[\"log10_mean_surface_distance\"], ci = 0,\n", " scatter_kws={'s':20}, line_kws={'color':'grey', \"ls\" : \"-\"})\n", "xlims = plt.gca().get_xlim()\n", "ylims = plt.gca().get_ylim()\n", "xticks1 = np.arange(np.ceil(xlims[0]),np.floor(xlims[1])+0.1,1.0)\n", "yticks1 = np.arange(np.ceil(ylims[0]),np.floor(ylims[1])+0.1,1.0)\n", "plt.xticks(xticks1, [f\"$10^{int(xticks1[i]):0.0f}$\" for i in range(len(xticks1))])\n", "plt.yticks(yticks1, [f\"$10^{int(yticks1[i]):0.0f}$\" for i in range(len(yticks1))])\n", "plt.ylabel('Mean surface distance')\n", "plt.xlabel('HiC contact frequency')\n", "sns.despine()\n", "\n", "if save_plots:\n", " filename = f'correlation_hic_contact_frequency_mean_surface_distance' + (f\"_{file_suffix}\" if file_suffix != '' else '') + '.pdf'\n", " plot_filename = Path(plots_folder, filename)\n", " print(f\"Saving plots to: {plot_filename}\")\n", " plt.savefig(plot_filename, **plot_opts)\n", " del filename, plot_filename\n", "else:\n", " plt.show()\n", "plt.close()\n", "\n", "del xlims, ylims, xticks1, yticks1" ] }, { "cell_type": "markdown", "id": "769f679d", "metadata": {}, "source": [ "#### Linear regression plot between the mean COMs distance and the std COMs distance" ] }, { "cell_type": "code", "execution_count": 22, "id": "8325769e", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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    " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.regplot(x=pairs_df[\"mean_coms_distance\"], y=pairs_df[\"std_coms_distance\"], ci=0,\n", " scatter_kws={'s':20}, line_kws={'color':'grey', \"ls\" : \"-\"})\n", "\n", "plt.xlabel(\"Mean COMs distance (nm)\")\n", "plt.ylabel(\"STD COMs distance (nm)\")\n", "\n", "sns.despine()\n", "plt.tight_layout()\n", "\n", "if save_plots:\n", " filename = f'correlation_mean_com_distance_std_com_distance' + (f\"_{file_suffix}\" if file_suffix != '' else '') + '.pdf'\n", " plot_filename = Path(plots_folder, filename)\n", " print(f\"Saving plots to: {plot_filename}\")\n", " plt.savefig(plot_filename, **plot_opts)\n", " del filename, plot_filename\n", "else:\n", " plt.show()\n", "\n", "plt.close()" ] } ], "metadata": { "kernelspec": { "display_name": "CIMA_testing", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.13" } }, "nbformat": 4, "nbformat_minor": 5 }