{ "cells": [ { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "

Harmony analysis notebook

\n", "\n", "

Table of contents

\n", "
\n", "Introduction\n", "
\n", "Loading and normalizing data\n", "
\n", "Harmony augmented affinity matrix\n", "
\n", "Visualization using force directed layouts\n", "
\n", "Palantir trajectory detection\n", "
\n", "MAGIC imputation\n", "
\n", "Visualizing gene expression\n", "
\n", "Gene expression trends" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "

Introduction

" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Harmony is a framework for data visualization, trajectory detection and interpretation for scRNA-seq data measured at discrete timepoints. Harmony constructs an augmented affinity matrix by augmenting the kNN graph affinity matrix with mutually nearest neighbors between successive time points. This augmented affinity matrix forms the basis for generated a force directed layout for visualization and also serves as input for computing the diffusion operator which can be used for trajectory detection using Palantir" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "

Loading and normalizing data

" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Harmony reads in csv files of counts matrices from multiple time points. Please ensure that replicates of the same time point are consecutive in order" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "ExecuteTime": { "end_time": "2018-07-27T04:30:45.032144Z", "start_time": "2018-07-27T04:30:43.570491Z" }, "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "import harmony\n", "import palantir\n", "\n", "# Plotting and miscellaneous imports\n", "import os\n", "import pandas as pd\n", "import matplotlib\n", "import matplotlib.pyplot as plt\n", "\n", "# Initialize random seed\n", "import random\n", "random.seed(101)\n", "\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Sample csv files are available at `/data/`. This folder contains two replicates each of the mouse embryonic development cells at E3.5 and E4.5 stages.\n", "\n", "These cells represent a subset of the mouse endoderm dataset and are the cells used for Palantir trajectory detection in Figure 2 of the manuscript.\n", "\n", "Assuming that Harmony was downloaded at `~/repositories/Harmony`, the following snippet can be used to load the counts matrices. `sample_names` parameter is used to set a prefix for the barcodes." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "ExecuteTime": { "end_time": "2018-07-27T04:31:14.287272Z", "start_time": "2018-07-27T04:30:45.035158Z" }, "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loading count matrices...\n", "E3.5_Rep1\n", "E3.5_Rep2\n", "E4.5_Rep1\n", "E4.5_Rep2\n", "Concatenating data..\n" ] } ], "source": [ "# Load sample data\n", "harmony_dir = os.path.expanduser('~/repositories/Harmony/data/')\n", "csv_files = [harmony_dir + 'Lib1-3_E3.5.csv',\n", " harmony_dir + 'Lib1-4_E3.5.csv',\n", " harmony_dir + 'Lib1-1_E4.5.csv',\n", " harmony_dir + 'Lib1-2_E4.5.csv',]\n", "sample_names = ['E3.5_Rep1', 'E3.5_Rep2', 'E4.5_Rep1', 'E4.5_Rep2']\n", "\n", "counts = harmony.utils.load_from_csvs(csv_files, sample_names)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Note: Harmony assumes that the cells from the same time point are consecutive to each other in the counts matrix. " ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "

Normalization

" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The next step is to correct for molecule count distribution. Harmony divides the counts of each cell by the total molecules detected as a normalization technique" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2018-07-27T04:31:22.712735Z", "start_time": "2018-07-27T04:31:20.544804Z" }, "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "norm_df = harmony.utils.normalize_counts(counts)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Gene selection

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Highly variable genes can be selected using the `hvg_genes` function of Harmony" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "hvg_genes = harmony.utils.hvg_genes(norm_df)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Log tranform

" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Data can be optionally log transformed. Note that, some datasets show better signal in the linear scale while others show stronger signal in the log scale. We use log transformation for this dataset and use the highly variable genes in the above step as the input data" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "ExecuteTime": { "end_time": "2018-07-27T04:31:24.076510Z", "start_time": "2018-07-27T04:31:22.715368Z" }, "collapsed": false, "deletable": true, "editable": true }, "outputs": [], "source": [ "data_df = harmony.utils.log_transform(norm_df.loc[:,hvg_genes])" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "

Harmony augmented affinity matrix

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following metadata information is necessary for Harmony\n", "1. Timepoint at which each cell was measured\n", "2. Connections between timepoints for computation of mutually nearest neighbors\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The timepoint at which each cell was measured for this dataset can be determined by string matching since the information has been added to the barcode name" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "tp = pd.Series(index=data_df.index)\n", "for t in ['E3.5', 'E4.5']:\n", " cells = data_df.index[data_df.index.str.contains(t)]\n", " tp[cells] = t" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The connection between E3.5 and E4.5 can be added as follows" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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01
0E3.5E4.5
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" ], "text/plain": [ " 0 1\n", "0 E3.5 E4.5" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "timepoint_connections = pd.DataFrame(columns=[0, 1])\n", "index = 0\n", "timepoint_connections.loc[index, :] = ['E3.5', 'E4.5']; index += 1\n", "timepoint_connections" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using the above information, the augmented and non-augmented affinity matrices can be computed using" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running PCA with 235 components\n", "Nearest neighbor computation...\n", "Constucting affinities between E3.5 and E4.5...\n", "t+1 neighbors of t...\n", "t neighbors of t+1...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/usr/local/lib/python3.6/site-packages/scipy/linalg/basic.py:1226: RuntimeWarning: internal gelsd driver lwork query error, required iwork dimension not returned. This is likely the result of LAPACK bug 0038, fixed in LAPACK 3.2.2 (released July 21, 2010). Falling back to 'gelss' driver.\n", " warnings.warn(mesg, RuntimeWarning)\n" ] } ], "source": [ "aug_aff, aff = harmony.core.augmented_affinity_matrix(data_df, tp, timepoint_connections)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Visualization using force directed layouts

" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The relationships between timepoints can be visualized using a force directed layout. This layout can be computed using the following function" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 500/500 [00:02<00:00, 166.70it/s]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "BarnesHut Approximation took 0.99 seconds\n", "Repulsion forces took 1.62 seconds\n", "Gravitational forces took 0.02 seconds\n", "Attraction forces took 0.12 seconds\n", "AdjustSpeedAndApplyForces step took 0.12 seconds\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "layout = harmony.plot.force_directed_layout(aug_aff, data_df.index)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For consistency, tmhe following snippet loads the precomputed tSNE projections." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "layout = pd.read_pickle(harmony_dir + '/e35_e45_layout.p')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The different timepoints can be visualized using" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "ExecuteTime": { "end_time": "2018-07-27T04:31:32.591980Z", "start_time": "2018-07-27T04:31:24.079286Z" }, "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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TXWFWh9oy6Q5b2lgriB9Apb6eN11U+iltqNrge1ERy7cbLFdOK9Y3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\n1YWLMai0W5SzAW8FHttWLedwR47NwLO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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "harmony.plot.plot_timepoints(layout, tp)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "

Palantir trajectory detection

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Palantir is an algorithm developed by the Pe'er lab to align cells along differentiation trajectories. Palantir models differentiation as a stochastic process where stem cells differentiate to terminally differentiated cells by a series of steps through a low dimensional phenotypic manifold. Palantir effectively captures the continuity in cell states and the stochasticity in cell fate determination." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first step in Palantir trajectory detection is to project data onto diffusion maps. Harmony augmented affinity matrix is used as the input for identifying diffusion maps. Please see https://github.com/dpeerlab/Palantir for more details on Palantir" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [], "source": [ "dm_res = palantir.utils.run_diffusion_maps(aug_aff)\n", "ms_data = palantir.utils.determine_multiscale_space(dm_res)\n", "ms_data.index = data_df.index" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Run Palantir with a Nanog hi cells as the start" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Sampling and flocking waypoints...\n", "Time for determining waypoints: 0.0027246673901875815 minutes\n", "Determining pseudotime...\n", "Shortest path distances using 30-nearest neighbor graph...\n", "Time for shortest paths: 0.05793136755625407 minutes\n", "Iteratively refining the pseudotime...\n", "Correlation at iteration 1: 1.0000\n", "Entropy and branch probabilities...\n", "Markov chain construction...\n", "Computing fundamental matrix and absorption probabilities...\n", "Project results to all cells...\n" ] } ], "source": [ "# Start cell\n", "start_cell = 'E3.5_Rep2_Lib1-4_E3.5_192121092393820'\n", "# Terminal cells\n", "terminal_cells = [ 'E4.5_Rep1_Lib1-1_E4.5_161864255428444',\n", " 'E4.5_Rep2_Lib1-2_E4.5_239475375884140']\n", "\n", "pr_res = palantir.core.run_palantir(ms_data, start_cell, terminal_cells,\n", " use_early_cell_as_start=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Rename branch probabilities" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [], "source": [ "pr_res.branch_probs.columns = ['PrE', 'EPI']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Palantir results can be visualized using the following function" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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9+4ApIiFXR3MjJjAf2BbOyOlVpgpB//NLUrb08GodpqupELQAUAG0NydXR3n6\nvjTP7bUHlfDjVAsxvATveQ/PON8a/2kYY72BiKMyiy1ADTD/BFgU73drmVNeG8M7zkA8byCmAnwe\n77/x9MCYm4BbkCxEUAMVcgTAstj1nwDHAZwcfDEE1FgWuz73oDdeozlE8T7LugioarTInomKyjkF\nSEjkgwg8L0gXd3XmHcJjl4D5Rkx0AaGeMfgkVC/HQUXoEN0U6QoMRvINMAYgqbbjAk40N/IJSmhI\n4T/CAwBJdZxBpd+Lt9h1gD1JdRydoEtTIWgBoGIYAtwLBDqZU2oKMCVE5rq9draxJj4sEOeALEKp\nAmtKeETA8UD++dZ4AVyHUkduBwYY8LAUjCnBbQzsODMw9iaU+jEP2GEgXvaQfZfEBvzWan9jgctO\nDr54zrLY9SsOcts1mkOVx4C/eQuaZAtpPQLyDpLcmZi0ADoJl1xpEQDSJJRIWCZUdr/asbWZx6EW\n8XnOTTY6YVJVuMwAOiOxirfYEdRiW08IFeoXB84DftXDv3iLfTSwAvgYlWZYoznoaAHgINDdmNYQ\nZfN/ZprXfRMwDqXmGw/ME5AqYFd7c3IqgqcE4j2QowVYMbzrpeADJHeGMacCfweeR2kFlgK3hzGH\nR3HfBjag8oc/Biz6Kn7dBSjnvz/iW6A68NMBbrpGc8jizjqtN1DNvPLrZ/yiR4DqQopM4DwQy2TY\n80Sx8bVM8kYgWYzBV8LD9gI87IbobBZyrNU4J89dmzkGZc/fBdyEELUksqeANNRzOggl+G8NZ+S0\n34fq7UE5CX5zoNut0fwWOhPgQaC7Me0+1Iz/rmle94cvNSdFgN1vuL23dzKnVAesOPIiVAjS3fPc\nXi+UHts68Epn4O6wZ2wOYboxvPYlwrsV+ApYhrLtj3k/cXU+wJmBsQI1EH0fwFgCXOYiNwMvCMmr\nQcwrgbffT1w9rL052QBS5rm9fkleotEcKbizTluGitGvLxrmeyiv/S+MZo6U75xkA2tktdg8lPbt\nVOMf2UWlx5asj0zDo561XQQEYnKihvsJaqGuR9xk4xwgNamO84t3f/EWuwEqD8AzwpM2YElLdAPO\nlvAegiuA7sm1nG/zYg2rALH04Lp4hXSERuOjNQAHh5EoiX7speakdJRa73vgvNluz10A7c3JP6OW\n6C3qYE5+AZjiwfpUAu/Mc3u92sGc/DZwTIlw0xJCNgG2fxTvtxB4HODMwFgT8D6N95f4NsdWgXEP\nA3cIeFZCNZQPgAEIv15PAL3am5Pbz3N7fVYhPaHRHDrcBKSbV34d95bYw4H7UZq60eLiFQ6A/DJr\nA2Ag5OXe1/YpqKib4wOIHngH9vzJAAAgAElEQVTibJTXfx0vLCIoX56jkuo4C0ovULzFNpPqOG5S\nHWc98ChANDcyFQgi5UcIkY5KBiQAw3/5LwMcoF1FdIJGU4oWAA4C07zu+ajZPZeakyyU9+8v4X9X\nmlMbhjAuA3rF8ZoD10v1om4L5LSxJk4B6gG3JoRsALRHYrazJs0UkhPziHkYzEBlFru5ZWBcM6CB\ngH8DRxuIUS7ypo8T13jA7WWqth74Adh+iTXBRPkWLHg70WftwewPjeZQwLzy6w/L/PwU9bx8VVrg\nvXFyXwjnAjfwt+I3UUl7JEpwGOSlum2QfGvsNYejzHKXA68Wb44sQIgmqJUDuxZvsa9Amdn6AIuF\nWgY4gBAjAJFc2/nlucyLNQygXv7rAPIL7RNRywWPS6viaPWs5qCiBYADRHtzclXUgPL5PLfXbaXl\nb7i9Eyi1fVm6AjcA24Vamrcb8IWEVBdvt4t3nCmMNMAKSdMpwb04GbM/kh8lpKQSmL+H2E4k+RdZ\nE8YBrRDUkUqA2Aps/yR+jVe+jvPcXs8CzwJcYk3oghrEJgBXH+Du0GgOCbzPsq4BBgCDjBbZX5aW\nG82cD1Eps8syAOVT87Q05AxA4PE5cJJXRSYB6UJgGP/Ilsa6zIe9IO8gxPOoJD51gcnALjfISQie\nMUpoIWCWFxAfAcXJtRxJOSdAX+1fduZ/H8oJcA3+SoEazcFCCwAHjiTUIPC3soU9jWkCuA1YIRAf\nAncG4M24YBcwyUD0Bs4FCue6PTteYI3/Gqgh8Rq+m7g6fpE1YUkIEwPjdaABSmiY92m8/6SLrAnV\nAcdCbE4gH0WlHh2Mmk2MKa1DG2tiX+Dn+Ymr5l9kTRBADUMJK48C8wAuNSc9D8TfcHvfePC6SKOp\ncGqh0vdWK1sYG92qMSrnxmOY8hSghVmbwUJwlKgSd2WJcRVh7zwsJrlpcjwwDckoEePG+OrMKwWM\nE1GekEk4SApAfo0QdyXVcbYVFGTdh5QtZJwFeIxFOf/u5T/5PsgvtP+G8t15Pq2KszO/KJIMGCBe\nBFYBi/NiDU8BHgSeSw+ue+fgd5XmSMP44100+0JVaf2cJs2eSdLoV25TA5StcRjwDDDcwOhXIOIv\nx/Es1AO+DhVbDOrF/Dr/iRf+Hvj+zUTvB990e5/jCq/YFfKWS6wJqQsSfXYB51oY5y+K97sf+BeS\nWy0p8s63xhsAbayJKSjb/33++YYCPxbjvlkk3KpvJ/p84Ze38j8azV+G2DcZY2Ira59ntMgu/wLt\nD9wuPUZIyX3A/e7WdLzMwoXAbUbUPE/sNaehbP5f+H/flyagknQtNSSrwhk55wfy5N2BPbJZYLd3\ns3/uBxGipZcs2iTXcRYCN+DxXPEW+5Qy1x8IjEBpHQDexWWpUcKtZolYklbFSaDyElyEWkNEozng\n6CiAA8RVxvQBKJX6PRO9bg/1FzNOATbsFW6agD4WogmIjhKmSeS9O43YFCTFVaTlGHBOEGP6FK/7\nAwAXWRPuAq41YKSJURMYISQhYJyLl+EJTAkzgRULEn0+KFuP863xj6I0Dte/n7h6NEAba+I1SLYG\nMOqU4JpS0D2K+zcExYvi/U4CuNScdDTgvuH23lpRfabRHGyiz56/EGgEZBVurlaM8vz/NP3kDV3c\nvNDxJKyBIPNFUD4jztq8Uwieo1BMMHYEz/F2JRvErf5W789WxJ1MC5WhcxsGnwOrApmr5ya+y+yM\nmslneCbvEmQH8FTwuNWFZetRvMX+ATCS6jg2QH6hXQfoL834AgxOJWGeKhKisZEQzQTioSrVs0fk\nxRoKoAnwXXpw3f8z6Wk0+4s2ARw4vgbe8pBreolpL4YQPQViIVBNwgkSehqw2UN+LZE1gK0WIt1A\n9DaUXfCEDuZklRZUUAjsMRCXAq2RLAdOBC4xMd5x8W5GaQ0WX2JN+AQ1S5hfIrwWQF0BU1RuAWhj\nTWwGnGzC58CYEOaMeYleZ7cMjKsOiEusCZcCNyO48+1En88rtss0moPOh8BGDK+NEYxd48WCLQPV\nCx43At4tRo3iSfGf055DyBIjFLcoMfYS9nJFTJwpk9yTkEICx3hfZm0USWKvDMl8VEKfu4HPEqsy\nC4EuQEugM0FaAQ8A+bF1kQVAMJEivgNuBb4TKrOnQshuwG4MBgM9sNwOacnr+hfuysoE1ubFGo4B\nQunBdX0qqqM0Rx5aADhATPS6fTNYzLy7CPfGEujjwQoT3kclAFqRJEVToGUR9EWwLM0NXBZGDC4W\nMsWDl1HJguYl8Jog2Y7gGYH4DJXvvwVwI2pweRxlT7xJIrMlPCgQw1C2/1MR9JDQZWH86lLP/u7A\nIBdSJHKV75HMoni/XQCXWBNOAJoDx/cypjcCUid73Z7uaE6pCdSc4/ZcVTE9qNEceNYuavIQ0LVe\n81W3BVOjx0Z3Bt7AM14DMuL5oY+2f1e3Q1rDrU2TU2INWVl9eNHmat2DDXeMDNQu+ITk2ECjTnEd\nYK0bZp1MEsVAbzMq2yFZA8xEEEPS3Dpx9TextZkrgd2exQzh8p6AKkh5CkLchsnqpFpO5zJVu0Ei\nY3jGapAfYMi3AapUz14N4Nv/k+I5x1cVnrgbmG5lrV6SXxRpBqxKS84pQqPZT7QJ4AAyWMz8VCJP\nyMcb6QmeD0qjGBhuwG4THpPIWDHym4SQnic5NQmRJBDZhYYXBt6M45HAax5DNhAwNYDxiIVo7iH7\nefCzAa6B+CKBfA2IFwv3PuAGC5YIxJAS4RWhQpderuJZjVHXnO4JQgLOEoguHl6XIuHWAibW8EIN\nJTJSJNxv3k702dzLmL4ClSGwfqFwFwBNgcgct+fuSulQjWY/+f6Kmy4H5ljhkncbtMgeHxr0wcy8\nEe3PBc7Oz61+ItDRSt2bW6v5ujVUiTfwolag8NsGxwTrbl8ZrrdHEPIeooo7MFbDCxOghrmHoW4a\nb3nJ4nGzwGsg4qyVyaIq8IBRIgsSKUYhsFzEZMhwmR1smHNb0Ta7I7AtuZazOL/Qvh1oBnKsFNLA\nYBKw3Cw2HwBkSrXsj/OimVeAzMHwNlRZZ3ZGTRCeL6onZqMWDJuWlpxTPrJIo/nTaA3AAeIaMSMt\nAD+Y8EEypoOkcwxZANzlwUwDPogiE56QpxlQ4ME3Er6K49VBhQX2DmAcPdftFW1rTjzaQKwEGgM/\nGYi2hlpM6AWJjKBUkDnA60FpFJqILW+4vb/zq/ISQDtzUiPgfBAlBoyVyBuA0UXC7YRaYCgEXCoQ\nrapI6wT/2MEusma+kWgRlMZ7SDZZcGEXY+rimV4PvXCQ5rCj1vE/Fe7cUPu1RElg4tZlx55G/35N\n0utyA9AhmBJ9UlrusqPOWvOzEXTbgvyOgLcc5PpgnfzewuIYXKO1+Mf357ApYlg7eEDAPLGHIbFk\nermpRo4ZlRuA/iRkKtDG3OsNiacbW91q4nhMPgoCybWcOWWqdIbEOwfTzcHgKVzzPARbUXkJvLxo\n5lXADBD/Tg+uuyJB5kQgGK3prpFC7BDS/Dcuy4q22Z2B2X5ooUbzP6EFgAPHiDj0i8O1FtwFHJsO\n2wthdBw5Kk94A4GBJswzEPMRMjuK/N6CYlNS6MIns7weUQADsR0VnrcKZRqYg5qZD0XlC/8XsK6K\ntF5GJSmxy1aknTVJIBiC5EvgDInMSiBNkO+i1goIoZII7TI81tbAuneQmDljsuz2Tjtr0gSga0x4\nl1SR5grUsqbTUGuiazSHDXkj2otgMmPqnLCpOO+nGjWAe3Ztq9o35/sGm0676OtBqcdum5CUtW01\nHilIMVomjNGixKpV9YG57yWmnPGxJ0u6GcmJEQDhY3I8d0fkA+AEIVkEtDfyCFg7xImJo2Uv4VII\n1Bfwk1uFycBolAbt7dL65BfaVwCnYXpfY3AHCdHciprHAt2lYBTKF+hb4PnQ0iTp5TZ7ySB9SMFl\nu2YCq0EuTQvmnF+0zZ6MMu21K3t+jebPogWAA8erQDIq699PFnQ0hDjXwPsJWBhGjI8iB5qICRI5\nCnjOgB0CsciEbibkdTemrQGqpWN1B0ZP8bp/BtDBnFyACg+c+7rbeywq4xgA7c3JZwcQx11pTm09\ny+3xwaXmpCtQoYf5CPYCk6RKPXoNUPBRvN+3qEEGYPogMTOOiigoQqkX3wUCqPSkMeBFv00azWFF\n+r3zZN6I9i+jEvVMA2rkbqx9WfHeKsVWOPEPWRQalsgL3W6ll2wqWprhBuvsGW8kxZvGXj57iQgY\nLnlJJ7t58k4x7YwrRK2COoYRiACdRevv3WTAW5P1CnB1IFd0MVpkz0UJ1QSA/L32IhHn5L2xrNrS\nYg8wHOX0txvXmIfhfmWUmBI4CihJqZb9dJmq3+jlNnsNldjrRZTz4GxUxkCA6aiVPxcd5C7U/MXR\nPgAHiJvFzEuBrSNll6/Kll9tTD8deAF4yZRipod8yMUbGBNsM6AaiI8l5Ar4l1Qv34QB9T3k3LiQ\nbxYK94uQNNagHAA/FIiWwM45bs8nSq9xpTn1E6ARksuLcV9EcAzQwBWyWCI7JJD1gSXvJa5+v2zd\nuhhTb5XI/CRpHB/GeGiM7LqndFtfMaMVynv5wVdkVx0doDnsWHTmgylAb+CVlp8Oj5bdVvhYm8dQ\nzrWXleQnnRRIKb7HSi1ubaUXb3PzQ8lW1eJ3cY0vMRFC8CjJJetEWkl1LMZ6IW8u6e5aY5dpAx3i\nNb0ZBBgEPB1qkLMUYO/urHbAPImc7AW9XYZn3gRMSU3N7lVQkNUUl0ZC0gh4NKVa9i8hg3t3ZzUE\nhrJXLg1sCiaHWqx8oWy93aWRx1DawGvNU3L04K3ZL7QAsJ/805iZISUFwI8S1hcjl0moCYweI7vO\nv1nMbIjK67+oEDkrgezkwWsI7k4gk11YCGwRsMND5gJHC1iQgJ5SyKMLcZMR9J+fuGpCB3NyErBa\nIISF2J5AFgIFFmIu0BDJeS5e/RhyGIKoi2zkCW+4Cx7w3nuJqy/ubkx7EajuInsBGyWShKA2MGiO\n2/OXwaavmHELapnhoa/IrqMqtFM1mv1gTtaoMJB61FF7bgDuSU7dO71eo/XJhuVtE4KhNR6bVfxe\ns8faAkuCobh5wpnLPzcD8WAoreR+M5SYEKiz5wnDlAMLW+z92kvytqd8kZzEUdGdFImNwhQ3eyF3\nB2neVitr9YkAJesjtwOPiGI2SpPv3eqG7cEzmDRyrUQ+Qe9WEsYnCB7H8rYbJcExuBwrJKnAtdLi\nS1SK7vEiQV3gQS/g7pBBd3d6cF2kbNvcpZEvgBrACeYpOXr1QM1+oU0A+8E/jZkdgamoTHsjXYig\n8v5LAfUGipnDgxAz4O9A3zB0KEE4CRgnJLNNmFyCXCIhjOAUAcsldJHgILgtgWyOoCmwsoM5uRoq\nI9lKAzajsvYVAd4st8eYDubkcBDjJwujRgy3HnCfgKcFYnySJ5JDGHu7GVMNgWgMHGUiXBfZD8mx\nqPDB8pnSnkSFMS6vgK7UaA4kU4CWxcXBTklJsao1625vhuAfnisShTvSmm+78oYVcExnlNku8fPa\njGPSa+55xbTyGiSK+CIeM58OVC1a7lXJTyIkM2TdwnUC0YEQ55FvbSfJy0I9e5Ssj9wMDMZjpFHM\nhW4VwoBnQJGIykFuulcTQRoBbyZqldCjJHIUgmO8YKIxpvzZiAXrosaIxcDDSPKRbm0g+ittaweE\n9ctfcyDQAsD+sQb4TAi+e9LrMnOgmBkQ8ImEvULZ75pLlZN/OTBfIOYFoCHI+i6EBCI9jPiHRH4b\nRR4rYSewFHh3lttjE8ruD0AHc3IqsANYDfzkIVMNuGq227O4gzn5auCxmPCGeWpBkm7AeAPx0luJ\nq37oZkx9H7jcgmQBaxPQdprX3R0gZm4HXkYyfbTXZR1AJ3NKa6D2bNlzOsoPQKM53FgGhIqKkpdc\n/O2wRVsG92oiE8bfPSkSYNwfDMWjqEWwFgCF8aLQSfk/V09Jq5WXLwSh2M7U02M70pvydI1hgdtW\nviAQdYHXMPjYOHvVonL50/cAO6TBwkQtjkWwMLlG9vMAxVvst4N5gTrAafF0eao0E28h8NJSnX/l\nxRq2BAbi4gX2eMIzuMFNMyanVMv25KJGmRDuBLSlJeQXRUxgEPBO2ik5ORXViZq/PnotgP3gSa/L\nigDMD0Df24yZtZIE/0gWolqKED+GEXeGYFECGSpENilENnJVVrLGEnlhAvnEWNn1DonsvRdvRxzZ\nAwij1gD4ufy15rq9Cua6vc6c6/YaApyJivev7m9OAPkoAeJJA/GsgZj1htv7B3/7LUAvAyNLIE6e\n5nUv8Mt3ecitxbgXXGlObemXPQI838mcklp67V7G9ORexvTuvYzp5oHtQY3mwLNxc7WRGzdXMzZu\nrjbs1eNfqP7F+80iyz45pc6KxSfP+vGH+vdvcBoUNPrH94ETm393SctPh78TSooXCMNrHkwtDgbT\nCjsijdvC9XaMrH7amtPTPkqqL5y0dOGkbTSb/H+be6hBziuhBjlNCbAZwfkovwIApEBK2BNPkSnA\nm8K1zkoPrrvH3/wxcLVVYLwFnGl41E1NzS5N95vrBmWs0PZuKyjIMoErUOuI3Fn22onszNMS2Zmn\nH4Qu1BwhaA3A/tMYaOaqRT3ukRLTUyr6rwy43ITPEnAq0NBV6r+cODRHkNnLmL5SCjlCwnFAKsoj\neDjqxT6ymzHVQi0NOm+616MEoLsxrQrQE0Gt2W7PXAATcSFQHyjxkPNRjshfdzemXQ5kCcRj07zu\ny64ypi+I4jW/0pw6C3hgluyx8kpz6kvAKFTGwUWoTINHz3Z7lgoJAPeiFjNKR3klazSHMinA30FG\nXU9MJW6dJ6oUBZKTS7rHoqE8EKfGo9a6UHK8ZH2/a6okpxG0kmLbDNMbBOxOO+7nZKNaYWcEdVFa\ngqFAqje72bFGpyVSLmgSAWqLi1Z+AuAtsY0gYnWsjjwN2ARQtCOrBpY4E/gGU+YBM4C1+UWRAHCP\nwFqYlpwziVoQ3RSZWVJDXl8SzXwiPbz6FtFy1WPFBVkXA+cAVVCawAcpoxH0mQwIyoUBazT7ihYA\n/gSPhKYHUQ/dqjtKuo3wi68DnjFhgYTcuJLs20kkJTA1BvMMWDxGdt0yUMx8XCCSPORHUj20mQJR\nw0S+7KqZd22gloT5V5pTG5twAfCURN7fwZy8y5RiZxDjiQBiZglyQ0dzyvtz3J4rUHkCioHPPWRb\n1OInTYChEtm8GO+M9ubkcfO8Xm9caU49A+iMWmt8JeqFvhzlX8Bst+fsX2n6ayjh5J3+YoYAMoHV\nY2VX7UGqqXQ6mJPbATcAd811e31zY36PbU+nTW1kGfKfO3dXuSk1pfibmqF41DBki5Tqe/5Vvc6u\nn1Jq5g+LFybtBkzDJMWLm6uM5JIQBulIqnq7k2MinOgsgt4clEBRRVQvric/aLwXjJeBxvEVkTYk\nybMNRD2B6GzuljfJJC6Jrc18jnRzNyqDn5OWnOPtzcuqAdTxAl42cJfEuzgv1nAVMCD9mHWbS6KZ\n7YCUvGjmrenh1RK1xkD11NTsfL+Zd/9K0yeiBADke03SgCRxwUq9mJdmn9EmgD9HCmrhjzNKCx71\nusSB9UI55014SnbpBWRF4ZYS6GTA3UHEtuvEjKCLPMlFviMhGUl9Q8X1NghL88Eq0qw+3euxPEma\n4wJSzMTjGxcKgIlx5FbgaVeZCdYkkGkoJ73b25uTp8WR/eLI66pIs1tVaT1jSY5HRSLckUC+JAXt\nUCYDgIeAC/Fn8rPcHnKW2+PTWW6P0uWH/4vBYmbHqtKoO9nrds1kr9uPqDUHvkcNuBrNocDJQGvU\nglkA3JjfY5cQrAHxbcHe5OuDQfc8Icg8ocUPVar9bVeXkuLQDXWem1yQnF54QVJaYXFa5rY3RMCr\nIQQNgatAnOBtS1uf+KlqktFpydOJnVU8d1d4KUrYngmMJywHAo/LkKwGrJUhugNPATdZ+d7XVr63\nOrlG9ksFBVnzpeBC+EWjcD2Gtwel2q/nV7kTcKn/8ic1NXtbamp29q81Nj7+rOT4+LNul5/XnmJl\nrX7YL34L+Ey+1yR0QHtW85dGawD+BHeUdNv1SGj634G8EYGZPYDie+Nd5gi1UM9e1CyeGFxgIqIG\n8t8WojPweAiOKVGrAtaw1Drfo4UUrYH6HvQDTu4rZthAjwDGSQncHA9WmojpQQwzilcVwUfT3O6f\ndTSnBFAOiO+iXujpqJlAwEAUpWBda0mxFahXKORQVFbBT3sa04JBhDvF6/5e+bb1NKY9gIos6DjF\n6769zKZ/+ecuTWe6AvgAHR2gOXR4GJhVzQts6ytm3A28YodlAqxOwMzbirstW3fVddWBq/fuSJu2\nK/eoTm7c6rHlktt+rlortUNq9YKGVmbeUE7cnh5fWX104rtaI0M18hebpjtFSmbERrfqCwzw9iQJ\no1bRZqq4L8TreEeJEuoJWCvDPGo0cWKszTwd+BL1jNzMf3x0QsBSPNpaRUZ/4IN4Gq8Bx6cH1zkF\nBVnh9NTVa8s3qniLXQ317C5OquOUtf/3R401tfzrgFrtszZqtUKNZp/QeQD+B0YEZgpgI8i9luDD\naIJmCUQDoFGeZKfaRoGpkpC8B+w1oK5EPloEL1vwioRprrK3L/f4P/bOOzyKav3jnzOzLZ1AAClK\n7wpeRL0gKmLDLlg2CaGEIr1LM1wQNNIEMRiKhBZCkgVpVkBFRKUoWECQLtJ7CGmb3Z05vz9OgiGE\nInr9eXU/z5MHmD5Dzsw57/m+35eVAgZa4HMvvGBgdvAgX0awTkeEoxwGhwlEeI4wlqPm7L9casTM\nfUpfoAFihdHOeF5feB+Ss4vMtj/EamlfoEZGVeeaUWditNRAYDOwy4oYBVSaa0ZdsBGN0VJnAw9a\n4FOBqGuXOB1oZwxoDYip0rngz3m6fvxcH51E+lBgnIG5yBDSUs/KAxZNWzo0Lyp2f4duQ1C+FmMz\nToVVl6ZoI+FnTRPlAkOzG1XqsfG53H1lHnUctW4Rhj5Y6L5RjvJZj2NSE0QPpDij1T3VSQswIk2H\nmWCE0xnJZMtZsoDl3nLURtnzDnNU2n3Ys7+21VZ9tzfTU92BxAmkW7NsrYDlwMLAiJ0xAFlZdXsA\no5GyryUPgC8Dyu86DJB3rE5l4EsM82tLDtWlZKVcU3m6cHhzhGAQMN8a++XeP/kx+/kb4Y8AXAej\nvE452up6SSjxXpxdZ5nP4ImxpvM0QE/hGgq4p0rn5n7C9QHKivQdA7HdAcN0aCbgeDYyFjhkQ3yP\nmu8/N0c6T0dpCxM0SWuLFDVM+EEKDIEYC1QUkp+kIAooBczVEVag4vP6whNAGoJfgDuBqUB14GzB\nZRvAEVSGwVtAo2ht4aNSbefSEV0Bm0DMQFLaqjQCB6dKZ4v//hP14+cPYRYQkI+sJ+HpPT4617Op\n8teoIlk2YK43314NqCSEOU+zGdscgfkND0+9q5WU2n261TunQr1DfaRhScIUu1Ci3Bxb97Wf+L6o\nr3tPBN3j/qX0TY6nfvley6Y8MBKlifGi0m9XAIuNIFE+70SdDMIZiGAMUAGYAozjYv/+08AhzUMN\nYAyQej639l7gCcJ43pop6uo5VAE+5JztLmCwdFsH2Hp+VpImwI+f34S/A3CdeE32g4i1CDnOqjED\nGDJccz0KPBGhcwiYO9Liqm4q9W4yUA1l9NNDwpcC0pNk5LKuIn2YF3OSCaWkkHNitNTANLNtbjeR\n/i3Q1o35cZ6QC2ySZ4BSS8yY79voKa341Rd8BvCMD/mABfE2cAxgrhm1qOj1ppjR+ahOBrFaWixQ\nU6qXVmkgLMWMNgF3rJYWawdNR0sxkaeitdQPgZ9SzehBxZ9BH+EahdIa9Jkqnf5Qkp//V+bIyLMD\nhcsejBZwUppRVTVtdb5PbB5jTd800juzax/hqoCag3+gW+sNH5uGiDNN7W2gs9WRH+zJC5hpeK3v\nS1PTgEWmKUpbArwZWH1fme800TM3N1gPeBFmoPWg3lcGGTvxiUwsMgXYhyqctSrvRJ0IVL2Nr4Fh\nwI3A8sCInW5geNFrDgnZuRhYnJdbJwi4ATWX/zCqXQYEVNjlpgK7vLtq1ZbflmsBxNHobPn8A7XX\nA0PtVXd/UfR4nhktqqAii6m27muX/1cetJ+/Df4OwDXwRsjC4RTMtw3Ialv4oasF3OWT4qOXPc4j\nwzWXT4LPhDGY/GjV8BmS0hosMpU4yW2BEB+8LpGOXHiuq0jfB9yBqhqWa6qCPa/FaKmtgtAGnBfG\nN4ZgDpKbTTU/nw1MW2rErCu8NiE5VpCc/5QN8TXwXIyWujzFjD52ufuZa0bNLfx7lLawRq4wBz2l\nL+ixwmg3fa4ZJVHRgqhoLTUUZapyuXnFR1AvrYGowkF+/PwptLDOroQK6bvWeju/V2TVvyxoDSqi\ntdWE1ACvRTMrzakwZ5YmAk1TCt8DjX7u5sm3jLDZvWZ+vn10zvmAxdIUh/QmpypV7vfNEHNivXSk\nuAc4B9ItbMa3wKYy4xZHnhn2XMNSrX6aB6wTp2zxwtR6AEcd/9q6DVVMi7wTdbKE2zwjfNzuyNbd\nRpieCzxNBOMudz8B5XfloAS2eHNrr5K6LxFB/0xP9Wlhtv07rHX2GNThU+DT/AO1B6EyfSqVcKjb\nUNN2x1HTDX78XBZ/FsC18TRKsWstXPCq4ZwHVLdr8o14W3qPAF1m2IT8DHjOgAZjfM66bklli+AW\nDVbo8L4Om63wi47obVHhwigBHTREfQfiQVOyCjgAnMsVsoxA5KBCip8DO4G9sVpa81gtbUCsliYA\nLIhlAnFcIDxAKyBSkzg7ifTbOol0rZNIX91JpKcDdBPp4d1Eelo3kX6htG+uMEG9eHoM0lyPDNJc\nEYXrUs3o80BDlEK5JJ7X4JkAgV957OfPpikQiRotF6UN0OiI8FXbbhhRuw1znTUo3wvENiqf++6T\ntx1oEWhhwLkz4Sd8PrcSUf4AACAASURBVEu84bV+nZ0RlpaVUer2c59Wi3EfC+yeVcE8BzTM/qVs\n0+zDZR4XggMU5PeHdP2+obQbG4F3McX3EvmjRB4ylzfuby5vfDeAJ9zrFT75voCzaDiA5yTyyUxP\n9WcyPdUDc0/XfTL3dN3tuafrOgF8O2tF+XbWSvftrFUOIDRwt0TQBujFOUtHd8IDjxS7x8lAVXvV\n3enFH4qt+9qlwP25x8Mmn33pWfHHPGo/f1f8EYBroy0QPCCr7UWj3FcN55F4W3oXVLW/cxaNs8Jg\nJmAfrrksKBvgwxbBmEmm0w3QX7hKSWRFE0wrdBKIG6Wy/x0fhDbGKzGBZ71CttARD+hS3LbAjNrV\nTktrBkSZUF1TToCfx2ppTQLRRgED5ppRi9pqqaWBlToiHmUdWgcIBbwFLn5LLHC3FYgWqbll0XKq\nYVv7s+aJLSf1m1FGI6lAh1gtLQB4zo5In2tGlRgBmCqdB4dorhWoYkO3/YHP24+fq1FYLveiEPhk\n6cwFcp3awhRNpbvqOzJtsxoGmp/m5lsCbqxEJoh4w2c5eOu7k1yoeXfW3zfKsN94/rvsWQ3K+Q6G\nbcuDtuGVz4zwZgZFeM8GzRKCx1hz631U4T2zrLnaUmNXG/eh2kFAKbz0tm213ouaXvgCWOm+0QwB\n6ofZ9svsjDoxht17J6qk7+soMW4oEJjprvWwqMgk2xnKSKu5Pn93va2O70Lyac2bQKZtUeV7gHfd\nCQ885uj7yWrPvlq3CQi01dhz0X0XJftgRKWCaxlDQWaSHz8l4e8AXAOGKfYDQ16xpXXwmtq9Fs3s\nO9IT9eVYe5oQsE4i3kB59O/RYCjKJ+A/k0znV8BXRY/lhWwQd+hwCpVPvxc1X7jaUPP3dYEquuSM\nhFNWyGunpYWj6n8fQRUf2ojqNNRG2f9mAUhV3KQS6iOuOxAdJFIAY7xgQ1DVJ/nBg8yyq20BJq0w\n2g0epLm+RpkHfViwfBhK4FQO9dK6HN+pU/vx8+ex1ttZPmKZdxzJ0B4i/d/A6Q3WjE7fe3rkt9FT\ngiww30R8pyGP3CDEkdx862LgzIObh76DmiO/iIYPbw4EWp09ELHGBz+i3Dy/RM3FVwHqcDTQS4Wc\no8JQ5juWPfaKvpr5R7GwR4Z4v8MjVhUcLgNlz8353NoPYGcJ6GlgzEfynv2Y2U/CWsstu+dmumv1\nkVZKe0vJqWaQHOJYZw8G9OBlETfrzq9nus0HTqGKAm0sOPYcINyzr1Y1W409JXp3oPQIG/lVJ+TH\nT4n40wAvQ2L4gjrALClJd3u1LSA2GCa7DGS5UoGGLgQjzmVZHahedjdDigpAB4/B6xIRadE4AgR5\nTM6g1PhPxhtOTy/hsgEbJByVyMUmnAA+mSkjDYBOIj0UyLYq1XKMRD6eJ5gKnFtgRjWN1dI+RIU/\n6841oy5y/YrWUt9Czck/n2pGmz2FKw7lURA7TTrfL+hI5Espn9GgdSk0NMTMKdK5imLEamkNUWY/\nE+eaUXvidFd5lA5hUbzhF/z5+f/hDuvMoaiprugy0j4G6FLGsPz8i54bmKUZ54DbqhshnwBBVklj\nDbEGOFJR046dN6hsgt2C+LasJh4C3nnVcL4BkD3usQ7Aa94865vZx0sdtAflby03OW0HgGfWvRoQ\nZGl4QkN9VLdzxp4OJALD5Y15X6G8MZbqt+yOKXq953Nr10OZbqWEBu5OMrbVFsA3QI5+y+57z2fV\nFtIqK9gyOOENMqbZtgeVth4MyAR66s6vL9HVePbV6geE2mrseQXgly5dWgKnqyQlbf1jn7SffwL+\nDkAxpkckRwD9TYOtIKYbBmd9ppZhShaA2GjRjX9bLbJzTr6+zuPVwjW4SQjiDCnuBWINyRwQr6C8\nAMI8Jt8AVT2SN4DtE03nF72ES5PQy0QmFDz9jQJxGlXQp5JEPoRK86ucK+R3wFzg/AIzqm+sltbf\nBo85EO3fNCMvK/QD6ClcAgiaJp3ZHbS0BOBhIWmnIT4CvpojI5/sJVyRgCVROlNK2L80cOM06fwh\nTnfNAToCz8QbzmVFtxtlcT0MfD/a5/TbkPr5r3CrbfqTQDWrFPUF4lkbWq5FaksD0A9bpZhxUuQv\n9EgjsKFZ6sc8jJpejQy7FJ1QIfkjDjSB5FENDB3xRTlN3OqwelfUq5K5D5j6zK5eednjHtPP7K3w\niS0w725NNzO8btseq8PzeUB4zuPAgpB7974l7WY1BCc5Y68DvAy8Lm/M22Dm6bN9B0odDHh+w8DL\n34XC2FbbDph5lbVSKH3PV9Ys8zgqetjBekR7HxgEpGhNd16S529+cGtjYO+hZU0ksB/YUyUpqVnR\nbb68Z3Q4aqrwg+brRvlf8n5KxD8FcCkdgThNZ5xpUN2QYpoQVLTpcptpSuEz9Fd8Bhs9Xq0JUM+E\nqiPyIzPjdNdXII+BWG/T+AHY7DW5F1jjlYQBO1DTAS0TpdPsKVzvo0bU4UAAUBM1ughG5QrHAG0W\nKFV+x8KLK422DeXON7Fgm8syTaXmZRf8Mw/IlSrv+FNgS8Hy0aj86JSBwvU4sHuydBaWHJ0LtOgp\nXI3CNVwoP4M1hcefGJj6qNegGuiTgWUoURYAwzVXGOAZazrzruGZ+/FzNYYCDb3I6sFYFuqIRFPI\noxl4fg7F+lIYtsdDpWW6hugXhCV5jhHZAeAlLT1aCPHAcWm+Zwrq2KTIKKNxA/Bl3Zsyx6AyCfKA\nqcHDPjDOdOmSLE2hSY1MVDnvvUAQmhkKfCfytb3i3h2PoabwCu21yXvt8WygT/Zrj68Ofun9lVe6\nEf2W3fkAZNT1AbkF5/8GZRr2I9ABVYArzDu3+WjgCSDVGvulYX5wayNUvZEPUO3tbQoEigAzy84P\nBDrXrqXdZrWYMShR5LsAh3t0FEC5ytPn+TvqfgB/B6AkZqCyI5J7ZbTLBNpOLZUSAezVNL7FZLFh\nUFcgD0n4SBe0eD0oNTjQQo1cn/4ysHiU1+mM0113oGqOvyuV4v8lVCcAgGnS+TMqs4DuwmVFZRgU\nfix7A7tRL5nifIPyFVgJ0EWkzwJyk2Rkv5JupiBbIE6DjXPNqKHdhcuJEiAVpk4NBywDhasaSqS0\nFhViBfgEpS84Hm84D6CERQBMDEy1ALMsGmfyDRYUbKsOqLkCULqGfSghlh8/v5c4oMr33h6nUO3i\nln9b344HFufgSwiW1k88mDd7MN/0YmY8qc+/OV/Ip24W9lscCOcNQjsdbziXjrK4ZqCst1sLwUzU\nB/iCy2WVpKS5qI4vh3t0DPW57VmQQ8jd+y0oC++fL3N9K1DpsxszPdXvRHWs3wiz7b9keg0g01P9\nFoJoD7QKOGw5A8wG9tiq795mHqm7D9VG01BRhn4oO+EkVJt6F1hbJSlJFjyXovQFxh46VC69erXj\nycD6Iuv6AOMO9+jYt/L0eUlXfNp+/hH4OwDF6HG6ffbMsvO3ocQ/xwsWZ3h9bDJMUQXobUqxSBOE\nAPVAdpcSbDoZuT7GoUbXAD+hlMprJppOiSrecxF9hKsRIGZIZ/Fc+6kFPxcRraU+hcpIGJJqRh/o\noirzNefXUf5FdBXp7fXCUsWCdahR+r+A++zQe5DmWpEonUsBBgqXpeCc3xfuP006pwJT+6mphAvE\n29JrgGa3WcxJQnButM85p9ipvQXH+aWk6/Lj57cikVuAmxrZpll+8PT0FSz8IAhLlAbhQVgWIkjK\nFWaGBv0M1Yn99z48yQ1wTOBX973VqNoZW57Z1esYxars7Xi2v4ZK+/2o/jvzzhdZ5UVlHVxEztm6\nAkgQ3TkdVHpnZyj4uMP9qM70RR0A96HaIUhGaEE0NUO4G9VGpgN3kadl+5Kb/QdKT7W0X/8agLGz\n+SLUx/8DAO2x77NRlsP4kpsJS/v1EuD9W94QQEuLJXSJz2cpn+d2JDZfN6r49MEe1ADikroDfv6Z\n+DUAxZhZdv4NwD7D5EefT29ltxl9gJzzOdayqN71sz5DbEYp3x8FQqwWmQ1kvZgTvaTosUZaXNFA\nJ6C/KfGiUnKSXjWcHwL0Ea4dgD5VOusA9BSuFihznVHTpEob7KM+vkOBY2eE0RjoaZfCFYDWCGjr\nQR4HvEkyMqP4vXQV6d9boJ6BNHzw5BwZ9Ul34dIt0Mgu+BzYqqkQZ2ngyYKOykX0E64HUBarU96U\nzjcB4m3pmwv2qRXnUeLFURaXAByjff6Qv58/nka2aROQDLYgJvmQbyMYIiQzysvAFODUKl/Hu9vo\nKfUEHBUw3Iu52i3Me4BZq3wdjxQep6A9JQPnpkpnn+Gaqz8qhbXLWNOZv+PZ/l1RYfUJ9d+ZMjQ/\nsaVARcn22XutcRUex/3mg7WA3jLY95bZ+thqCacRuIGfjSBPB1SGzu4w2/6L2pT7UO2OIo+52jkp\nveXlFm8Fs3mYbX++Z3/tCLG+9EvC1AaYHj3Bczq0GZAUPOyDmSU9D19ys1koMfC9lvbrz7x/yxtR\nQArw5uPbBlzQIay/b5QNMJt9Ntr3e/8P/Pz98EcALuWUYZLs82kdQM4HGkqJz2YxX/f4RPXBuW2P\nA0wOTg1ApfskD8yOvqiRj7K4SqE+9oVCnBpACPAkKrRfmGqXDuhFdu2C6t1/ya8h+iDgRVSv/V7g\nnQC0B4GmAmoFIH6cKp1m0fN3FemLUNMYAyW0tqLlWAvm7ksJlgKlvTAEFc4cBJTRQBtpcZUf43Me\nLfY8fKg0pCIRCnOV3SrvtVlkFZQICVSostsoi6vtaJ/zU/z4+WNZbEd7yILWX2KUN5AxAlE5B1+3\nICybAZYaMT+1tM75F7BgjbfTdoroVQC6ifQ2wP1WuF0gzvYXLuGA+4WgOcrS+jAqgpdMwYgbKIPq\nAHyHKgNcSFugr8i2HEd12n2AC1MG285YKwZU2HVRCp77SO27gSkIpkorL2qm1tBxRCwOrLIz30i7\n826d8LlSyDRglDczcCvgBMpvaTU8CLDctnJsZrHn4UFpcgpTATdlZtnXZpwPcIxzpIlh7ii5/r5R\nFlR1wpNcapjkx48/AlASCWEpDpBJwGa7zfzG4xWTpNQaA7X7ZsYcAJgcnDoJGAB0GpgdPQ9gfEBa\nKSDOY3DCZ2oTJMwxJOeFEvHYUOK+pDxJKSBzkum8KM2np3DVBFpY4bBQ4qTxU6QztY9wPQmcmiqd\nGwq37S1cnYXSK4ycKp0XmX10FelfAtosGXmRMhhgmOZagnqptRxnOs3ByrBIC9DogRIX9h7jc866\nyvPpCSRKySxTitrAJ+fyLGdRYsUXRvuc319pfz9+roe7rLMel8hOJjIuHzPGjv6SQCzd4O36DEBL\n6xyBimhlr/F2alS43+OW5MeBJhUNawOBeFqHtiGIXvmqPsf2AMHguxse/gko++j3g44XP29+Ystn\ngEO+HHsX1Mi+lW73WVFivdmOfh/nAWRn1BW6W65E+WnUC6iw68JH232k9lMURBYclXZfNB1opN3Z\nHKUBmKFHbSpMSwwA3LvWNvwC1V5vvm3l2Mvl/QMwzpG2GrjPopmv6DoPC2F2v+O2veOAk80+Gx17\nzQ/azz8GfwfgMiSGL3gXqArcYZjibqAB8CZKrPexaeI2pXYCGOk1RBWUWK4xyjsgMc+nfQ587pNM\nAh7X4KQhGeyW7BKCr4CVk0xnzDDNdQ/w9bgCp0CA/sL1fMG5xkyRzukAfYSrDRBiEyQDL/ok0lQq\n5ClTpXNlwTZhQDk38gDALBlZooPfcHVO61jz15H6SIurlZQMk6qu+JhXjcuH8hPCUgJNkzESqoC4\nG3h/QFbbLr/xEfvx85u4wzqzGbAImK+jjQQGA19s8Hb9qql1ViTwHxtiu462zS618SjxrUtHWwo8\nGGCKh0tLa2hpIbZKyRf5IBDmV877dvQ6e6bUIJT49pmdeytsAmoNzI7+uuj5cyY88g7KqOvOoCEf\n5ZhLmgSgImhLsp44awCdrGctmpDiRqB9QIVdXoD8g7XrAb9IHemotLvEdpU5+ikLEAssDRu14kzh\n8i2thr9lsXmqhkZkvlFtTtIVI2vjHGktdSHb67qsDNwqBM8PyGq75kr7+Pln468FcHlOCWGGBji8\nc8KC3UdKhbitpULcFovF7C+EWdeQBHkN0clriKMo570kKflQShYDr4/2OReP9jlPArGmpHqOyZtu\nta4jahpg/zDN1RoVcny9j3CF9xGuWwGmSOci4MYp0jk9TneJON0VLSDehHFuyUaPJN4ieGKqdLYq\n/PgXsBDY5ECUKfz4D1TGQ8WZCSQN134V943xOVdKFfYchtIcXMRYe9ojY+1pI8fa07S+mTG5EnEa\nxLOoTIduRbYrN9ae5p9a8vPfIEsiM3Lwtj6u5cQc0rKOHtKyQhvbZkTkY/TBlDfoprZljbfTK6gC\nVfOAwZrkfSGZvNhst2amjFw+1nTuF4K6DcrlNH7u3h0O4Eeh+U4YhtgpJQdQI/U1k4NTG5rLGzc2\nlzcOKzj/c0CjoCEf5fiSm1U187UpUvJKfi13Ij59HSZDvaV9xwIq7Ioq8vFvghLezSz8+MvP6wv5\neX3rxbdG54Lzjii68LaVY3uHlc0MFwLXgc5dQouuc9WYrrtqTB/lqjH9IYBh7qg1uk5dlKahYeHH\n31VjusVVY3rZP+R/wM/fCn8H4DL0ymjXOcBhHBCCZqj58gmAUwge85laoM/Q7tKEnGvRJCiR3FzU\nS+c54Ikx1vSAMdb0NXZNTjbgNU3l7W8FjurQUFcVArcAS1GdgLnAuj7CVR1ginQWinaeBFICBceB\nV4AyEjZ5pXyzm0jv102kF32RrEOlB2YADFQCvgMDlSNgURKBqWMvFf0tL7iXJVxKH5RiusX4gLQx\nXoNU1BTIuAFZbQ2Asfa05qgQ7JRrecZ+/PwWvvZ223Zac7+Yq/mqSuQdqMyaV4DbEdxRBpsvGL3/\nfZbZ9/Lr7/IyHTHQgmgD0E5Li26npW05o/vusVrk5nPnQuoB60+cKF3t1OlSjU6cDL8FlY+//PlR\nCx2oNjULIGjIRzJoyEeFYfix+PQu0ifm+W7wbgEEiNlBW61HzU11Hyhy2ftQbbKoJfhsYKf8vH7l\nIsuWobJwFpZw6/NR031ZxZbfirLr7p1cOen55MpJscBgEC8MzG5bVMuTCOxx1Zh+x9WesZ9/Fv6R\nWjHeLjcvCFgtJftAOw+8GmA3v0GJ3RZ7feIXKamjCXrqGjHAnqF5US8DjHOk3VxwmHTUVEFl4Cyw\nWhPUtMMmE9IM1UNfP850HkSJfegjXJVR6XzFRXifAG/pgvcSTefHvYQrSYIvXzXq7qiXwhyAqdI5\nodi+mahUxrNDNJcGyAmmU0plNpIL8Kot/X5UauCkV43IPcALRQ8wOTg1CBimCWabUizSNFoCcVJq\nuQOyooqXNz2E8iDfXnThtNLJ96NMS0b0PNveb0Li5zfTyDatIzAoFNsaE/mpRMadE54fgJNlTcfq\nTJHfQ0NUyha+FyS8kyeM6mu9nV8AaK0veJ1f61WUBW7KN0Qw8NXO/eXNUz9UWVyrfI6nYN03A7Oj\nDwBvm8tfD0Ll3H9ewiUtAHECj3V4SLldeedza48I/sFqoBxAT6FKfGO/aXcGl1bTPIVql3nnc+po\noUG7zOAaJ8+hUmd3rPn3WA016FjfcuPwdVVnJ71d/OTTSic/AIH/Kl0qt6sQfIvKACgVUSq3SvvD\nXYprBbajxIAXsiEGqejfaCBjkqnskP388/BrAIrxdrl5ocBGKTkJopmUzMjKta4ENlp0GYgaxX8u\npRiBCpVPzfNoWwBLnCfygqhvnCOtmZQMBsYOz4/6eoTuiheYLzl0DguY5ja10sD2MT7nvKtdU1c1\nyjdD1Hz7zUBiDrIRqvMQP1NGlugDUMgQzWVDGYIc0ZQz2M9AxjjT2ehVW/oqoCVwywhP5E6A8QFp\nt6HyqCdYddkJNfpIHJgd3XucI60a0F3X5PjgQJ+3x+n2WeMD0hoCNw/Ni0ot6fzTSicnAj2BmJ5n\n25c0wvHj54o0sk3rg2pvPwO32qX2WIQMCPzQ12Hlw5Z5r6EyZWLyhVEBVbznxXKmwwp4FhltL7zk\nntCTRyOJQND7PaO9HK65tkcE51cuE+zdffS8beyZXFsrIH6S6byqh4WR0tSR0/qsB1VvY31o0K6N\n5qa6vYBz2p07r/p7fj6nTgcgHhgatKx0BVSUcMznbz35Eaq9vtdy4/CnCrd/p1ZiD+Dgs3t6fTCt\ndPJKlNfALT3Ptt+ZctPMLqapeX44GroUcDeskG2gMhW+63Ck8/bi5x6kuayoQc2pSaaz8dWu1c/f\nE38EoBgvnOx4PumGOY0FpJiS5Mws+yfACk3IDai5+8+ATQ6bLwhl4rE1z2ObA9wdb0tvbrOYTVBh\nuW1CiKdRo4evgdkaVBDwkFSRgY7Ahv7ClY1KoRsxRTqXF7+eriLdVrD/MVTKYAtg5UwZ+T1FTHtK\n2K8hKgVxRrgQJioacH6c6TSGaa6ZwPl4W7oT5YK2DNg1s+z8Z4CjYOuJshn+CRV+DDVMPhxjTW9s\n0/kPcE+gw1cZaDk9IvlBsI4DHhgfkPb90LyoHZdeDXEoU5R3rvof4MdPCfzg6Tm1li3hADDQguha\nSQa9IJHP32NJ+khDHLSjfwxszxbeisBX1Y2QaqiptVVAt8ctybNRI/wbhCAC1ZZ8wNhAm9FBCGp7\nDPEEql1+t79Dt+aoSpitqs+feYn63khp2gkYZ90WkOS9JW8YygmwtXbnzsQr3Ud2Zt2OwK7gsJ0b\nUBG/TCAH1QZrnNlX/rPgkOxG2VlB/UFsGK65SgHtbyqbtbhsKONR0bsPUEXIlt3SYL++ov6Ue+w2\n2yS3V64GXkUJeSeiNBAfAE8VuwwmmU7vIM0VyaXTCn7+Qfg7ACWgCRxAM13wg0R8ASzQNOoLQQxw\nR//zbbdOK508D5UGtA1V0e8Yysq3AlBdE0xTBYRU+PBVw7kf6DTWnmYV6sXzLqoDcSeq8E/QZS7H\nKDj2UVSY7z2uzclrJGq0v3uCUvvfDxBvSxchFlyoF+A2AZ/GeSIfmVl2finU3OR2oDvIncC7A7Oj\nfcDEMdb0+cBzpsk8TWMtgl2o0sNnUBGCzRQrP5oYvmAA0BpEx14Z7Rbjx8/vQdAAuMuHnAe8ayBt\nEh43hPxklbfjY01sM8JQnemdKDe/o6gceFBRgQigNWB/z2jvAxhrOlPmV5q9ELBk5VttqE5DGsr1\nLwy4yAWzCKeBw9b9jk3eW/IGU6zsd0lkZ9atjBLgfgncHxq0awkFepu10+KDgdFBwblxQtA7JDSn\n6+2r47/5WHO9CsQdPBVijwjJHyilOA7Q82z79V/d+/JuYFd4eOZ3J06U/UwTchPqXbIfNTgYX/y6\nhmkuO0ofsXOS6RxwtWv28/fG3wEogU7HOp2bU2HOrUDO4NzoHKDTlNCFFYF6oUH59jkV5ljBMhbl\nd78kzhO5aKw9rQkwwWeI1yy6TB2SF11iWH54flRhal6hRejO/sKVMkU6S8zxnaXKBD9SZNFn13gb\nU1Gdk+Lzl51R1qMjUC+IbwuWZwLjsvL0QFPKh606A1GdhDFFzhsQ6PAlBthNJzCj26kOheveLfgp\nTlVU2lRZfjUM8uPnehkPpO3J71sYnl90tzWpZS7eY7XsCQ32ePpub2Kb0RM4tshoexxo1kZPGdxG\nTxmO4BFAe99on1/8oB2OdJYooysvqpPN/g5rngBE9fkzzeLbA+gxGy78zoeWtEHJHEEJaUuKki0D\n6hqGFqPrpq/g3wDJFt0IavPEJrZ9ffODUmrN5lea/W2HI52Potrse7pFbt+wr8x+oNRk6XywyDGL\ni39B+ZHU5mLrcT//UPwagMuwuOa0cCDbZ+ihwPmon7t551SY40S9IKacy3IEoyr4PTYwO9oz1p42\nzpQMBd6O80RdSIubWirFBkwGvupzLibtcucbY023owR4i0d6Iy8xI7le4m3pIcDj2T42SMRYm5Cb\n7ToPA5PiPJGrACYGpj4J9JOS4Xk+fZGGaQTY5Emvjw89pl4TeH2U17kNYEbE/FeEYAQwotupDvFF\nz5UYvsAC9ADe75XR7ufE8AUaENwro11RT3U/fq6L8o6JGlBGl9oZoMzR/EGnAGrZE5YBLcNM2zOl\npD0eWPSJL3YSQBst5SeHFGWC0G+bJSMvVM27yzqrUJga95W368lLz6ZYUT/hdqDWUzv6lqhvuV7O\nxj3zb8AXUvPErUDz9XMeOi4NvQrQrsX6OB9AcuWkmYCl+f3fbAcm7fih5ldnTpX2NLv/6zVWqxEE\nvFR1dpIEGCjSfwBRDrhpsnRe9HEfrrkaoYTHc8eaTjlMcwUBnnGm098J+IfjjwCUwOKa06oCX5sm\nm4B/o6x7O1itviper/4ViC903ehjGtxotciqKG3AK8DzwNNzKyWttujSceZcoE+Arml0Rc37X7YD\ngLIBTkC5k121pvhv4GVgoF1jptvkOY8Up8Z4nMUr9DUAmgtBHWCaiZb3Yo5z6mirKw5oj5oW2PZG\nyMJyoLW1WuR3VoucNqv8vLuAZsCkric6migb4wSUULFbr4x2JnB+bsU5jVDPJzH2aKcSq6P58XMN\njAH6SeRqgXioon1Sa+AnG5q0oH3kkLqRh6+KFa1GE9uMwM2e7rkhUkuzoY02kS9Xtk/eE2RaPq1A\nUDOgHqrNreHK7XIscPeK+gnrntrR9/AfcRNn454RqIFEPmra7KFmnVbfbo398qdimzZBZRONAarX\nb7R3ZvX5M7cd6LxhM3ADqmSwZ2qplGFlA6ic49WTjvqEr5NI7w9snSMjC02AXkFNaWwFNo8znTkA\nz+opw4H6QKd3jBh/Z+AfiL8DUDIZqND4VlQlrh1p1WbWtOi8atF9nxmm9nNpq3GnzyfO5rltX08r\nnbw1LIijGdm20UB5iy5flpKyIEMl4huQrSk57FeUdFTIPPkPvpelQJhFEI8S4ZU0VzkOWDA4N7r4\nC24CqoJYYTjSKTdk+wAAIABJREFUDdoRr4+NvTPaZswqP28wyqdgfcFxl6BeKMXFfrcBj4K5Pb36\njEpAcuT+7v7iJH5+K7uBLRK+F6rOxmFgqAeztQezx379/NNIwsOlPSZAWhreYZ0ZYtPE5Hpm6OSf\ntEwPMNYUfI/kVh2GG6rDfjVh6luo6a8jV9numikdv0SejXtmLioMPweoXcLHH+A+1DREJsqlsJD2\nQEjV2UmFWUeng20cCLYZy49mWmqiBICf8WsthETU++y7YsdvATQ+LvJa/dv69tmN3heuqmPw8/fC\nPwVwFVKrvi2AqkLIX1BFQX4wTO0LYI7Ho0m3Eg5VBDJCgvPHoOa7NSkJOZsZWB7Y3f9826XjA9JG\nokb3XYbmRV3R0/v/k4mBqQGAMTg3+qI6BZODUyugXoYrBmZHJwPMKj/vTqBpnlu/D4S9b2ZMq5KO\nObfiHAE0dtg9MULQH+geub97iVXO/Pi5FiraJ4WhBjAVURkrY4FHkLSLwKHbpH5aQ7SUyJePabkC\nlYXyfJhp21KWgPuACaVNe2EJ7OVLjZgF/0+3ck24akwPc+7rUbwgELNvmNsJVZW0e+fjsac7qRLh\nPUMFlrIWugNvxnkiZ5R0zGf1lFISWfaIlrcKyN/ofaHef/Um/Pzl8EcArs6LQLyUolf0gReKznk/\nU/iXaaWTdZTRyEbUR75K+0Ndc4sdpwVKEBfIXyz1ZkroQgvwoM/gYxAbURGQFoXr3y43r0WAg955\nbstjoJ0BklfUT3i4XBm+f2pH300JYSmPAPaEsBTRNzPmkh5l7NFOEtiSXn2GhgppliQYZG7FOdVR\n6VQfxR7tNOQPv1E/fydWo/R3DY7mDyq0rk6jSDj/DutM6zEt91mUVfecw/kDOxes+gCgjZ7yICo0\nfhqVDvuXYnpEck3AXjospwnwpqvG9Jec+3pMA+ilyhq/VCHI0qpCsK8xULuWPcHARnNgWkdZ7gEg\nABXBLJF3jJhzwLl/W99O5AqiwNb6gpeAdkDMMqPdlj/sBv38v+PvAFydQiX9doD06jMqAqci93f3\nAsy+YW59i4WuXq/+QHa2JdduN2Z0Otal+McflEVw+NC8qL/Ux7+AOOBlXaOvz2AvcK7Y+g66xjMO\nuzHYna+9taJ+QnPUR3wpquBKK4DiH/+UKrN6ATcCy2J+6brJZvPtBfq02dn7cmEngco8uFzqlR8/\nhWxCldiW5R0TrUDZE+7BF1w069gSugRgue8GI+B2H/Lz05r7kgqXS42Yj9voKXdSLH31L8RiIERK\nugnBTi6ehggGBh7Lse6tEOxr2vl47NZx9oQklI9BmzhP5LvxtvRqcZ7Ii9paS+ucMihNwI/AomMi\n5xyCWT95+lxJqKvhb5d/S/xTANfA+7e88TjQLDvH8RGID4C0yP3duwHMvmFugmnSx52vn5SIMiA+\n6JsZc4nxxh9NvC29OeCL80Ru/L3HmhK68C6U1398//NttxUuH2NN10Z6I823y827EeUjkPzCyY7m\n9DJz7y4Xkd3HosslT+3oW7RGOrNvmKujQrLv2u2+T1CaAMNm9Q6wWMyJUjI183xgTeBIp2OdXnzv\n5ikC4Ikf+/t/Ef1cMxGOCTpK4LpZRzyCEqC2OuEevL6OLUEAB+1St4VLh92BHga0W+XrmPLfvKZM\nT3Uryn1vcZhtf87vPd70iOTRQGCP0+0HFy7b+tQgAdBwxSTZS7geA04lSufXCWEpls+9Oa9sM/Jv\nkPDinvy+Z4oeK0ZLrQPUPaq7g1D1BrzAu8dETj5w301G0KBS0t4FeMVltl1bzT5F/Jzvb5N/d/wR\ngGujK/CYw+75wp1v/4qLHfgmaxqHdIuc7vNp41AuXH8G81Eq4vq/5yCTg1NtIE4MzI6OLLp8jDW9\nPRA/xpo+dKS3Y+q00slfA5MSw5PfNEzrwiPHw0/2zYxxAcyvNFsH7gE+B60DylAoAXgdlUURpmly\nK2rU8QvqJVmYy/0x6vewBcB7N09pAzyYlR2wDUR3oFf0gRe++D336OdvSW2UNfAnKHOsKigffnZ5\n+so6toQB+cJw26WWh4pSXbGU7h9ED1QZ7zoovdB189W9L1dq2IDX7/r85eIRwxVA+a1PDborUU76\nYLTV9cJoq6tpeCDWe61Bw+61Bo3omxlzBuApfUEVwL7CaLcbeAO4P8Kw3X5a94wAbkE9u8pAuQCp\nVwbuBupVs08JAGZUs0+Z9HN+/4Rq9ik6Sli4vbZR6mnAs8rX8Rn8/M/j7wBchlW3TRAPbxkiV9RP\n0ED7RNPMZU//1O8j4KOi23U+HnsA1TigiFI3uXJSdeBU+8NdsqaELhSoimBZ/c+3LV4Y5Hp5G+Uo\neFmmhC4MQ2UXrOt/vu3Yy2yWALSbHJz62MDs6LVFlucB5wv+BDWq749SXqdSUHGwgGGosGJfVNhy\nuq4bB4F5INdrglMej/WnsLDsl4HMzPOBTYBCkWEOSNv7t7wxCsyvheA/Umo3a5o5yzT10qhQpx8/\nhDvGC4AM91CJKmYVDyw94R68DWVudYFdnr5F1f2fAtxkf0MH6h3MH/AjQAvr7MdQbTd+rbfzH1Gj\n4j1Uh/yKrpffPBTXHuUi2uf21fGXZAd9de/LoSj77x3Ag8VWZ6NcQwtH5/2BQCl5Qgga8qvBGKis\nnPCn9AW1QtDnA9tPa544iXzUVG6EITnCNw5ot81yLqWJL2IRqhPVouA8lavZpwz3Yp7UobuGth5w\n8Gvb9fM/jr8DUAKrbpswDnhu1W0T2oCjKYgE09QvfEBTqszqgxpVdIn5peslDTi5clJ5VA3w9cAT\nBYuLNtrfTZwncvw1bFYWlUt89grbfIOy9N1bdOFIb+RiLn6RTQCOCMHsvpkx7mLH+BxYahgEAU07\nH4/tmVJlVlWguSjwUxfCrIlKcTzW6Vin2wp39Bn6UF3ztRGCeCHYITTqm6Y5PXJ/j56pVd/uE33g\nhb9sxoSfP49wx/hgVHv6ERXun4363Z4GUNk+2YIaHR88nD+wx2UO8zIw7Cb7Gx0O5g9IRX3MQgr+\n/N2E2fb/jKrQeTXqoSJjVSk5PTgP1ab2Fl/RcMWk6GKLegH2fudjtqHSA4vyEZKIUCzDgPkLzChX\nS+ucnlIJke9GRRADgHivMCu4zLZjAOrYEtai0iu7SiGfAE4acEpT9+Z39Pwb4e8AlEwuqgfsRuXS\nLgQ+XFInsUAMY6uEcgGMuMz+51DhtW8B+p9vK6eELry7pA0nBqbWKzj+4sG50ZcbpQMwPSK5OWpO\ncPW13ET/8233TgldWA81ki+RgdnRs1Ev0xKZWXa+FZA9z3Y4h8onLn5NNrA2BNnNZjG/Rb28lsf8\n0vUA0Dq16ttBQJXQ0NyfgGlScnpJnUTHM7t6FXYiUgxTLyeEMRTBdgH/1jQmvFMrsZrNyoh3aiXO\nfnZPr/XXcr9+/taYqDZZOLe+DOX5n1HeMdFmQdMEohpXFqp9jRohbwNY6+28pIV19tK13s6XdMxj\ntNSRqCI6zhQz+pIPcSGfNX3NAsQC79234aVrdfCMA6bcvjq+xNLYd33+shfVybksgzSXY5LpdI/y\nOku0Bh9pcTVuJGzf/yzNaqgoRygwbI230zRg2r3W2XVRtRJuACoLybIGtrf07Z7eBqrKaKoOiw1E\nf5DZQP7P+f33NrC91Rm4uYHtrRcLtvXzP4xfBHgVFtecVguwPre3544ldRKXAbWk5A53vk2L+aXr\nFcvwXgsTA1Mbo0J1rsG50cMSwlJ6oEburxRX1U+PSN4KlAaq9Djd/g9vfDPLzu+Kmsbo3e1Uhy9m\nlp0vgA1S4jEM7RSwv1dGu8FF95kekdyHgvl+m8X4EcjvfDw2HSC5clKhA+LL7Q93kQBL6iS+CnQC\n2cFqMbYYpta14J6Gtf6pz4X7fadWYjdUkaEJz+7pNRQ/fgoo75gogIdQuf2NUO0n1Sr1UYBxOH/g\n73a1i9FSJ6EKBz3V74Hth1HTDYtuXx2/tuh2nzV9LRZl5pN434aXel9yoN/JsnpTBSqykd/6pz7P\nAQzSXM8C04JtviXVy7jrAf/pcKTzRTqZkRbXZ8Cd56VsfEbKKGDOAjPql4ct80IL7mX5Kl/HTwEa\n2N6yoyKBh3KFr4tVCqtAvAqk7vL0XVn0uA1sb30MNAVqbvf0/sMsy/38/+CPAFydd4DAxTWn1dZ0\nTgKhQmA4bJ7G79RK/JfHazkFIhLoH33ghQO/9eCDc6O/nRiYWnNwbnThB70zKiQ/ARWBKMpbQMh/\n4+NfQBgqqhEM0O1UBzmz7PyjqIqEtxcud9WYrqPC+b9AUAJQHUjufDx2W7HjdQJqocSABWImeRLE\nYYtuvAKUBzkcRElahiRUJOW9P/QO/fwdiEGVup2Mil4dB057hZEP9Ctvn/iNjtYJOHY0f9CI6zlB\nihk9KEZLHZJiRhvfPBQXhRL46ahOR1HeRQn/rmQn/Hspw8XvggzgkMNiBqGqidYCvmhsm3E/MAR4\n5XHCpwNrQ4XYNcWIHFVk3wdQ0wZBFGgjPBimFe2IT81Q7vEi59kQv1By5LAHcJP/4//3wN8BuAyf\n3D6+GTBI0wK/Nk1RxmKVA4HuhaPUd2olxgEPCiHTpRStUH76B67nXEU+/gDdgFIlzLPT43T7t6/n\n+EVJDF8gAL1XRrtLPrrdTnV4fWbZ+VO6nergK7KsTcF+pVBzhqDMRZoDFXqcbv8ScKGs6NK6b90I\nnG6zs3ce0BOIaH+4SxbAR/96fUhgIH18Xj1dSu1OVEi2N2oUNxc4u7LxxEHAc8EhdGj17eCLUgwB\n0qrN1FAe7uuifu628/c+Dz//W4Q7xo8GqloRS0wVvo447R5yO0B5x8TbgUkowe3NFGQFXC8p5oV2\nWVg++5Kpt/s2vHQGJcT7Xbjful8HTEfvTy+K+rX+qY9cVm/qPRTRD01S5b1vm19ptgCGdjjS+VjB\nqluBlsDyMT7nBVFkHVuCDlTb5em7FzV1EkNBVdHK9skagnV5GNlWtEPADqHONQJlara+on2SHdUR\n33vUM6gnJWgTHrTMrY2yLp71sS+2xAqKfv56+DsAl+ceoE1YWO6ArOzAp4BXUer3wsY2DlgtpZgG\nTIw+8MIPAO/USpyIGi0/8eyeXr/Z9KdvZsx1O21NDEwNQZUwvlIDnAo8mhi+4KFeGe0uachFP/5F\n6ZXR7oI5kHNfj1xXjel3UjAfu7jmNCvQH2H+oOukoV4uz7Y/3OWC9/iK+glldItoomnynJTiUZQ4\n8BGgsc3maW2z+sxPbh8fDSIauAFE+GWuvxWqpno6Sojp55/FI0CEgewtlCeHHaVoB9gCDEGwCckR\nCqJO5R0TKwGLgJUn3INf+a0nvH11vElBmeDfSu7JOhoQFFhu12XfBe637i+Huof1KCOfi2j9U58S\nI34FZYyPFVk0GfWh3gNwq216E5TYrzwwoI4tIXKXr+8y1HsMAAf6fW4Mq1ARgVhgthWtnw/zqAfj\nZHnHRBswWUPUF4iSDM4KGYlK7z0BLL/Cdn7+Qvg7AJdnIspt7HNgM1DDbvec//DWSYnAqmf3DHq3\nYB3AD0X2qwjchFIW/2mufxMDU5ui5goXAIOusOk54BS/pvddFx6vpTzw/IKbZr3msPEYMAEpFoJc\nB2xaUicxDtCe2dWr8IU72PBZnzNggBByPRDx5PZ+OR83GV8eNYIKACrrmrzZ49H/YxjW/u82eLPf\nk9v7FRdKfYKaw/z491y/n/9ZngUCBGIPKnq0LsIx4VHgcWDoafeQSSXsE4xqkxX/vMu8wFtAm9yT\ndVoFltv1/WW2yUfZEV8pW+eqfOvpLh+1zG+Jyo5IRfkkPGtBe8WH+ZmA7Aa2t+YCSds9vb8CEIjE\nACx2A7OGVFkEn+zy9DUr2ic1AR4Tkhwp6GxKuToA/VQ1+5RhP+f3H1fC6WegIi4flbDOz18Ufwfg\nMjzwzVCDgjAZqnf+5Ye3TnqIghA9l/GzR3lm257d0+uSEP5/mdOoammHrrRRr4x2I1DhvQu8EbLQ\niprH3Dogq22JhUNKoHvBzz7U6Og/UopVbrf1bmC53e79ABU2LewAJAM2wPXk9n7HAJbVm9pUCHul\noMC8ZZrGDRImCLQZhmF9GiXAmkOxsGvUz908xa/fzz+HDPfQomH9RIAIx4QXUWHtDwp+LuKEe/Cu\n8o6Jtfl1CuvP5ACqXZ653AaO3p9mospqX8SGliNboKa7RjVdM2bf1U70qGW+BTUSP43qAEwGtpST\nAWsE4vAJcqsh6IgaABRW/nsDsO7P728C8+rYEkQdW0IPDfGNVxhlUFbez2lwQCA+RmVeXNIB+NgX\n+yW/RmL8/I/g7wD8Nj5GlRDddLkNnt3Ty+RS8d5/ncG50XtQ8/LXQwTqBboB1ZO/FgpLBaeYUvic\n+3q8mlr17VjUHGxtVDhQK9xY08yqQCWfIf61tO5b7wcF5ZwOCqJRTk5AaYl4X2jyaWlSSko+QkUE\n5j25vZ+/PKmfa2EYKvT94eU2OOEe/LsiXtdLYLldE1Bt5Xp4FNWOPkN1tK/Ih74Ovkct8/sCWU1s\nM4QFsXGzp/uGltY57wGPliPg9pPkOYH3C/cxkXWArDq2hNEG5hPZwms4pH5bIPryTIzaQANNio8E\n4k2UKdFlOzJ+/vfwpwFeIysbT7QBNVt9O7gk447/ed4IWdgcODggq+1vEk65akzvi6qY2N0w9LXA\nS8DiQk3Euw3e1IDKQsh+QH/TFKMNU+8aEpLl1XUZdv58UILV6nlK181ampDnTCk00I7ZbJ6xVqvR\nF5h89xcjV5R07i/vGX0rquMS33zdqIyStvHz9ybcMf4mICfDPfRv92Ha0HKkA3gYeK/pmjG/SVjX\nxDbjc8DY7OnesqV1zv2obIFxa7ydTIAa9jfDUJ4JW4BzFik2eDHa5AhfKR2x3Sr1lV5hjDCROzW0\nugIOCsT7buE7j3I7fP60e0iJEZUIx4Q+QN5p95Ck6755P38K/gjAZVjbLL4UcL7F+rjChvc60G1l\n44mtW307+LIjjf9VBmS1vd7wXS4FlsHRB17I5dLwfBwwQkq6CsFDmibXGCZjLRbpAEqFBOeVkZIO\npilWCSHGI0UvlACzJkpMWaf4Cdc2i7cC0mIhFmU/vAclDPTzNybcMV4HgjPcQzML/u0A1qGmvUo0\n2vpfpumaMW6Urud6yKLAKnyNt9OnXFoLYW3Bn4+jIpYHrOgDEL6qBvKggW8McERTnfvSqI59KVTN\nhUYojdNFHYAIx4TCZS+iBML+DsBfHH8EoATWNou/H1gEcrYQnADey8uz3w44hTBnaoJVD24eekUf\nfj+Kdxu8+TRKrDXsye39Nq9sPLEpSqg4u9W3g8d+ese4e4A0KdmMcnLrA/KMEGCze04BJ6UUk4Dc\ne778z4i1zeIFaqoi32LxRQJtgP9j777Do6jWB45/z8y2SciGIEqzIAjBroAoIMXee8FernptP8QK\nq9gF3WDHKyB2RAURxSt2RAFBUYqKokGxK8VIZIHMtpnz++PdKHIBUUk2JOfzPDzK7uzuOa6zc+ac\n97zvyL2n3vCPk78YdVtJpOwRZBfAxUALJP//Q0jw3IOVyQF1taxvndM2fO9IgIWpfv8GaBm+cygy\nxX/wT6krvm0WuX0Ekmzpa+BXW1snevgH+0pP07K0tw1wHTC0Itl/atPIkOORtMy3IMsVqYpk/9oo\nwGT8A9afH9IgLUZydG+G3Pn3P3jOVU/alj/GUkzg98A2Yz1e3u3OUYFg9pJAMHvIkZ/2m5V72APS\nvs8+L+16x5xM1ro+66mHfJ/3kDuNQqUYCzzbY9r1S7RWIHcphwH0njFQIylMF+099YZFe0+94f7V\nL/5j2ozYdUybEZ0w6qOFwGdIsqz7gK6VyQH/QmJO3iuJlLXKZ+M2BVuG79p9y/BdH6Xwyqsv/jlp\nwFPwWKvwnXMtrRxLq6uRwN0ST/lnoXjRQl1Tkez/K9AdGXz3zr2+EikUVlGR7P/y6hf/AwKPWgcE\nHj32gMCjBbXSSWODmSWAteg9Y+CnQI8p3QdFkOnF6mm4uUigkclNv2GiSHZBBTBuu2HXQWF3YM+C\nwuQYJADJBrUf6Fmg99z/g9iPb3aJ7yWPQ893rtNT977lcKR+OQC9Zww8dkr3Qb/lfJ+xzw0HADcA\nt0KLMsAZ02ZEu5O+usBMb9UjlckBg4HBJZGyXkjE+Xu5p6YgU871Lg6gBkSQczIKsGtoWAkwZnOc\ntytV6hyNfsNHWwrVWqNPRHMTiiFAWyTbYXW1weFAObmt0BXJ/m82jQz5w8C7JFI2FNiqI5u/aKEe\nRgKEr6yFPhobyAwA1sO2vVJg0N5Tb8gCHDBrwGdIgZD1Gtt2uIWsmb3fZ+GFG1S4p546BlCHfnhF\ndRzFDsDuQIllZf9PKUYqxUzQBytFZ6055bVOQz48aHbs+tXfxLL8xsBh7/S86da9p96QmtJ9UD/g\n0indB53Xa/q1k/h9XXIb5EcqYi7+9VPUiUdR/JRwY78VzqpMDljb3v//0Sxy+27ILp7BS5JXrfqz\n4+ujH1KXv7tl+K62P6Qur04u1BToCCz5LnXZbS3Dd96MBB5O9NHXAWfb2poC/PRT6opTq9+nItlf\nN40M2REZSDzfNDJEIbsVkkiyLpCqh1u7ZGOFBB/HpPWuc0wMwFpM73Xj1lpzFXABqCFFjVdcu+t/\n79jg/1Bj2w7fFYmufbXPwgsPr7GGbmLGbTcsBBSe8OVFla91GtIV2eM/JmB7A4ELsp5VCup4pfxj\nCguTr3efcmMW4J2eNz2OJCk5IZsN9AS9J1KT4cJe0699G2DGPjds1u2tm8wdYD0WdeKHIrnudwF2\nTLixRX/ykj9oFrl9OJK74pwlyaseqYEmbpJ2DQ1rAqz4KH1RpmX4zgeQrYeHespvjiZgYw3T6A8y\nyj++Itl/OUDTyJDGSI6Dz5ElmXuQ7J5fVyT7Hw1QEikLA8HK5IB/XDTNqBlmALAW03vdOFprTgZm\nOY2qvgoE/D2APsmqyNfID9Bje04atM489GPbDldIIZwP+yy88G+n9q0to7Z8qABZ2vj4jB/OvaS2\nPve1TmXbKDjCsv2ulsVx2ay6R2vaFBQku1sWk7tPufF0gHd63tQBCUi6P5sNTENiBXbsPWOgKUfa\nQESdeFMkIG0pUmZ7O2BBwo31iTrxI5C7zdsTbmydP2jNIre3Bo4G7l+SvKrOB41O6T7oNOBy4LJe\n06+d8mfHbwwtw3eGgO4a3dFH9wW+t7E+9vC38ZTuBpxWkez/MkDTyJBTkXicRkiq5Xsqkv2vro12\nGhuHWQJYu9FKUQFcHQj4lyOFfjLIyHgAEGQ96Xb7LLxQI1XKNhVBJE3qWuuT1xRL0QYYqn01C0u/\nEQjokeFw6hfgOd9XSyfufPdIYMzh826YjNxp8Ha3wQcBgd4zBnpTug/aGkm1+mxho6pfkbu7WOfX\nbv14XZ/5yu532ECTQ+Ze+XNN98/YqJYh2SoXIMV53uT3hFuXIUFpTwI/rusNliSv+ga5U91UNEUq\ngzaprQ/8KXVFumX4zjMU6izQU1DM+Cl5xTVNI0POBpoU+IFdSkNDDwaurEj3f/K3hkaGbIcET9M0\nMuRCZMB+joceBGQrkwPWe2PROTSiMZCclb6g1pOoNWRmF8BadJ9y46vBUOb9YChz9K7/vWNwsirS\nL1kVHgR6d9ATLMvvMOuga8Z8cODAyAcHDrztgwMH/t0MfHXCGT+cuxypnlbbxXWmATeCumrf964+\nYt/3rv7K963TfN9Kr1hRsBA4D8n9/pveMwau6D1jYHXSn1Jk69JeSM6A/YGd/+Qz7wW+fGX3O7pv\nzI4YNSvhxnwko14boGXCje0NLI468SeBlcjW0hejTvzkqBPfJ+rEB0edeDCPTf7Hek2/9h5gm17T\nr32+lj96GHCLjXXwkuRV1zSNDAkDRwBvOgS6Av9GZlx+U5Hs/2NFsn/1jFxX5Fxsg+T06Lm+D+sc\nGlGE1FOp7X42eGYJYB3eP2DgV1rjgXoc2Bb0WUBCKf2VZZEGMlqre4DxwCit6YtEuI7u8sbgBflr\n+aZtWo+bRwInac1BieVF20QbJ95vFK3aMlkV+QLZcjSm21s3/fY/7ZTugzoAXxU2qvKU7Z1iWTq5\n+8Qh49b1/q/sfsdFSHDieYfMvfKbmu2NsTFFnfhlSH77UcjunEORXPVNkeqQ+yKForoDJyDBaAqZ\nwbt7fcsDxro1jQwpQbZFz9nMj1wM7LTUcn8BvrFROwFLK5L9P1rteAfYqiLZf0FJpKwFUh/lucrk\ngP+pPgrQOTQiiCwhfDErfUH/mu6P8TszAFiH9w8YeKLWtAE1GMmdPRj8g5Wir1I8C2wJTPF9dtNa\nPWtZbAUMBe7p8sbgy/LZ9k3ZtB43B4HNeky7fjHAnMMGjAWOTCWDr2vfPgI4rttbN/3hTuG9/a7r\nAWwXdlIXAO2AbXafOGTF3MP7h5A13+d2nzjEJG7axEWdeBGS+XEH4JTcv7+CFL5pxO/FaH5EYgTO\nRWJbegBtE25svYWyjHVrGhnSFFhVkezvlkTKtgI+Bd61UZ2ABRXJ/n8oZlQSKbOQhE0hJJfK45XJ\nAWflntsJKKhMDni/Nvtg/C8TA7AOXd4Y/MwHB17T1vcpsiy/tWVxo9bcD+pHrWmG3F0cqhSe1mpb\n8E8GVchqtbaNvy4YykSQambVXgZctBqP3PW9Cb/VAWi999QbJgA3A3v5vroUdFs/G9geeB8pEnMT\nEq9xVy12w6gBCTe2IurEbwXORJLOnIjki5iLJAPqAWyOJPAC2ad+GzDGXPz/vpJImULW8asLKi1B\n4jDmIoXRvgfIbQU8FcmT0h65IRqPfAfLSyJlRZXJASuQ5ZqSkkhZ28rkABPIm0dmALAeSjHKtv1t\ngflasy2S834x8j/+RGAHrVUzy/KLlWK+1vpOra11BiEZ6/fefte1Qe7iXgfOAuj4UtnjwOO5Q1bf\nR3wXsNfaB17WAAAgAElEQVQ7PW9qEwhyJ1CaSYVG2rY/Bzhx9iGxHZTFy0oCDV+ttU4YNe0IJP3v\nK8g6dAckMLAVMBIZPB6IJAY6C8nbcX4+GlqP3AJcVBIp61OZHPBGZXJAGonPWdMByLk6DinSdQMw\nGWiNLNu0KomUXYXk6ig2F//8MwOA9ZuApLvsDnwA6iUgqBS7IZHzSyxLlyH7YJdrzfVIEY478tXg\nTdyvSLT/1xtw7EgkiHDpXm/eMpFcidMPDhz4NMrfXln6C1Cj/ax1DnDR7IOvTnd69ba1rkEam5SZ\nyAWkBzLVfyzgInEAhwJf5f6MBvYDtgYmRJ34dgk3ls5Lizd93yAxAH+2S2gKcDcwqTI5IIvMzFES\nKfsaGRhsDXyJfE+URMrOB0ZWJgeYdeg8MTEAf2L2wVf3Af6tNR+C2gGZVt4P2Bf0rlj+Yu1ZnbW2\nxmqtLOCePScNMqmC/6F3972+E1AGDOs6+ebnNuQ1sw+NPQI0A32VUjwKPKM96wckQOyxTq/edvaa\nr/ngwIEKUHu8PvgvlVs18ivqxB9Dqt01Q/ICjEdiAnYGCpEB+tZIRHsBcJEJAvznSiJlNwC7ASdX\nJgf86Za9kkjZbshg/VFkaeYw4CQkLfCxwL6VyQFvr+V1tpkhqHlmBmAt5hw2wAHuB6Yqm0+Amzq9\nVDb146OusIBj08ngjmAtUrb/iFKM1/hTfc86T2umIkVKTDGaf64dcpc3FdigAQCSy6A5qC86vhTf\nE2D2wVdHkMjw/87c/1qFZBScs+ekQfNyrxkHtP/gwIF77fH64KqN2gNjo4o68cOBPsDVyDLRKwk3\nVhl14tsi6WtbA3HkAnMCUor6WyQnx3fIWrTxz3REtt024vc8DOtTggzEmlcmB9wADAIoiZTdD3wC\nvFMSKdsGGRiMrEwOyJZEyjoB40siZU9VJgdcUxOdMIQZAKxh/vGXPhEK0ySdCu+D5Lm+FNhszmED\nWufqzz9oB7ylXlal8JWrLd0XrRpZlj9ba/WN1tZ3+e1B/dB18s1j3t33+neQTGMb6nDA6vRyPDP7\n0FhP4Fwsbur0cvxagJn7X9sZuRi89MGBA/sgW8QqgcpAKL35R0deWZpyw+8iF5PnurxhZgXqgqgT\n3wu5Y1yFbPX7FSkx/R+gL1KYpjfyfUaRGZ/JyEXlaKRo0Dozdxp/yUlAo8rkgIo/PRKoTA54qyRS\nti25wUJJpOwmwKtMDrgZqR1ASaTsGiS3wIqSSNlEZElnGZAoiZT1Br72lG4OuAk3ts4kX8ZfZwYA\n/6udZWEj61Tzke1G0Y4vlXnzjrmsUvvqY2X5A4FLfV+doz3rYaX0MssiYNv6P9ksL+W19fVI18k3\n//BXju/0cnz1rX6HIfuPpyJlZAE+RO4CZyAXiDDQeY/XB+uPjrzyGeBIZXkvaN8+Mffa0f+wC8bG\n0QpJVHUnEvw5F5nifybqxBUSnPsWMrh7EqgC3kB+36qQQYNJerYR5HYCuH964P++ptpJSEnwm1d7\n7GHkO8wi8T+3VyYHdCyJlG0NfKbR05Bgz0qkmJixkZiT4n/tg/LLnEK3n1PoFnd8qeyeji+V3Qxg\nWRxtB/QuwZAfUIrztGYYqL5aW1t0evW2NtmsvRhYOHP/awfluQ+GRCAfCzwC8NGRV7aLFCTnRgqS\n1p6TBr2CRI4v2OP1wdXrws8DT2itHkPWK9/KQ5uNtUi4sfHI9P4WQO+EG1uScGMXJNzYNGSK+WAg\nmnBjzyJ3/Flk++eAhBvbBwlMWxB14tuv9QOM2nQiMggAoCRSdj1yvj2BDNQ/RYIOARYBjynUs7nn\nn67VljYAZgCwhh2evcdVij215nCt6bzG0zcjW5A+6fTqbV8HAt4NSLGOIbnnk8j0ZKL2WmysTaeX\n48lwJD0nHEnvlnvIRu4aAwB7vD74rD1eH/xb6uOUG16acsM90dY2Xd4Y/C/L0hWzDrqmMA9NN9Zu\nObK9b//VH0y4sWVIBs7JUSduIVs+ByJ1IT6pPgy5ezR55vOsMjngI6BpSaSsKPdQ9XlpVSYHvF+Z\nHNC9MjngydyxGeR8vdDW6vaEGxsSdeKNc9+zsRGYXQCrmX/8pX2AQaCvBa4BVaG1GgMch+wl3hLZ\n6vKC76lhyN7WYTtPuGtw3hptrNMnx14+BZk6bLfTc3clAD484qoIcnF4GrnzCKeTwW9A9UB+iO7o\n8sbg+2cddM0byPe9W+fXbk3lpQMGAFEnPg6J9h8DXIcEdfYAvkq4saujTvwhZCvuSche9H2AXgk3\n9peWkIyaVxIpOwR4ARhVmRxw7mqP7wW0RfKsPICcn8cCaeRGtaendCfgWWBkwo3Farvt9ZGJAfij\nAGBLLBHfI3cMuwJ7A62V8udo9HS0mgj2CqQ06bK8tdb4M/9F7gJXr0f+b2RKeEvABzTyA7MS6Nnl\njcHVxy7IPZYF+OzES4LAJOD77Z8ZelqttN6oZuf+fIUk+kkC3fi9St5cJEPkK0iU+lLM3X5dNQvJ\nIrhmcq7bkN0FZyLnZPV5+Ur1ToCoE1+MnM+/5QmJOvETkeWeaxJuzBQT+ovMDMBazD+hXwvgQWCi\n9q2HgGY7jr/7x89OvOQi4H6t+c8O44b2zW8rjb/jwyOuagpcBTy+24u3z1/fsXMP7z8aKAaOjBQk\ng0iWwu+3f2bocTXfUmNNUSf+b37P7JcCqhJubFXUib8B9AK2T7ixhet7D6NuKomUHY1kdoyvLzFQ\n1Il3QXZ9jEy4sQeiTvwMZGth/4QbG1M7ra0/zAzA2rVGflAWK8sfze9b0UZrzZHAifNP6Pf2DuPu\nHZ+vBhp/z24v3l4BDNjAw5sBjQG1/TND05+deMmeYSe5zddn/XscMFprtRtS8vScNo8/YIoN1byO\nyHm5ExLlX71N8y7knH0i6sS7m4Q/m57K5IAJSObVPxNF8n00BUi4sVFRJ/4EcH7unzcgu0UmJNzY\n4+t+GwNMEOBa7TDu3neRH5nGyLTj9/NP6Peo1qoDqFGglvDHaWWjnvn4qCsutCyvsWV5F+8+cYgP\nEGnkBpXSt4A+WmsO0JreyJqz89155+z33XnnjPvuvHN2yGvD67dLgOOBx5BCP/OiTjyGbOmcC/yS\nv6YZNS0X/NcPmJRwY6vHXe2BxPUcg+wIORhZIiLqxG+LOvGy2m7rpsLMAKzDDuPu/Xb+Cf0WIoEp\nRci+8BY7jLv3YEzFv4Zgc6XYCrnjqNYHi9PweTG5ytkFdJNwQapn21EPrPjuvHN6I8GiryH5I4yN\nLOHG0lEnPg9J6lOI5Ae4DahMuLET89o4ozYo5DsPr/H4QGAXJLZnMFJ34NLcc0cgN7obOuvXoJgY\ngA0w/4R+FtAfmLvDuHtfy3d7jJr38VFXKCC8ywt3/hZM9vW/zgsjPyTPu4nCS4CSQCgzXiluBX1d\nuCC1CJgcKkhZwK3A/Ob3jjbTkDUk6sR3RiL/4wk3tiLf7TFqXtSJBwE/4ca81R7bG+iKLAvdjyQW\nOgxZKjgT0Ak39kXUie+B7BYZbMpDCzMAMIw/8cmxl/cARgD37/TcXcPmn9DvQmTa8cJgKHskEoR0\nbbsn7x8HsLjfaS2QpCYzmt87ev91va9hGH9f1IkPRab6D0R2fQwHpiTc2CNRJz4GGQDsm3Bj2dzx\ntyM5Iy5OuLFheWp2nWKWAAzjz4WRKWcn9/dDkL3mt+Qu+uNWP3hVZaNkQfHKPsrCRKQbRs1xkEqP\nNtAeiQ8pAB5JuLGTVj8wFz/wH2Qb4ZO13M46y8wAGMafWHDyxSqbtdlh3FANMP+Efs2AbUOR9EnI\nTMAhWqsYUGVZ/hik1sCrbUeNOCN/rTaM+i1XB4LqXR9RJ94NCc5+CMkzMAa4BrnwH4UUkDoh4cbW\nzEHQYJkZAMNYjwUnXxwBpgcC3lfACQtOvjgYCHAFMA0o0ZqtgDuAA8F3lZ3dSnv256A+/+niM05G\n+U3soH8IMK7Z3U+ZeADD2AiiTvxsJAHQFcC4XBzA8Uh21qZIyuhSpPZAMVJJcjZQGXXi1yOJhjoD\n5yTc2AZVNqyPzADAMNZPIxXlqnJ/74jUf9gOifofgWQXvNEOZptbFhdgeQNaP/zQkJ8uPuMrIIRk\nrPsGiU7+U+kRvcNIsqIJoQve/uTPjjeMBiiJXNSr03SfAZwHzETSf38FNELSCd+MbOlujWwlvQkp\nOrQ1sA2SXfJPRZ14dyRb4d0JN1YvSoWbJQDD+IsWnHzxScDcQCib0ZrpwEIr4L2kFIcCLwH3hAtS\nvvYZBMy2Q95c4Jtmdz+V3pD3T4/ofQYyWHg4dMHb567tGP/ZzocAnYBbreNn1YsfI8P4u6JOvBUS\nDPg4coG/BLgl99hS4ImEG3sttxPgTGAo4P2VzJFRJ/4Csq2wW8KNvbeW521kS+J7CTf2+j/sUq0w\nAwDD+Ju+OvP8zZDiJG9bAa8lcLSXsT4Cq6qgeNU84Frgohb3PTH856tOcpC7lFF2KNMUiAEPBcIZ\nC/gsev1/q9y7DrSAiF2QzgKXg34ZxRXAJ6Hzp9y++mf7z3Z+GUlC1B+4xzp+ljmRDYPfUkafhWzZ\nfRLZkVOCXPQvQ4J6SxNuTEed+J5A49zg4FRgB2QLb4eEG5ude78CZKZhD2QG4DMk8dD1CTc2b7XP\n7QS8D7wLXJRwYx/XQnf/ETMAMIyN4Ot/ndsbOMrP2h1BBcKNqoZalj5KKb4EuljBzDzL5krgWjuU\nSQBDUf6YQMg7Gng6ev1//+XedeDDyB1LL+fy179KP9BrcyTj3czQ+VMOyY7q1ghwA2fM8PxnO3cC\n7gLdA1vfRdBvj6YczZ6gfrCOnHtKfv5LGEbdkAsSvB5ZCjgNuAdJ751ElgnmIzt6WiFLAa8CXZBq\nhcfknvsSmA68nXBjZ+be9xYkuPBcJCtlUcKNJXKfdwEy8/AdkhSsHVLhsDdwU8KN/WHHUL6ZGADD\n2CjUOcBpyvaPCwSzWnv2GM9jaCCUbQZ00541Xlv+s0oxFvgWcJXlT0a2ML2de5MfkEpnCYDQ+VN+\nTj/Qa29gSXZUty2RO4u3/Wc7P4XEHYxCsRlwCR42Fkcg65kmTbVhyF3/5cjWv62B0cgAez9gIjIT\nMAlIJdxYKurE+yFxAsXItfFTIIOck6snDroJeBl4DxlgXBJ14qcjM3JZZBfC+chgIIRsV1yGZJSt\nU8wAwDD+gW/PPVchZYc1qH8rxQSlaIeUp50FPAfcYNn6IXzVU8OVTQaPzyA/EiBRyiTvPaC5sikE\nLoj0e6MiPaL3VcCuoM4JXfB2KjuqW2PgCySYsAf4R2DTFtnqtBfwCJouSEncqbX2H8Aw6qCoEz8I\nKEOyAj6TcGOZqBN/Hwgipb53QXIHTAJeBMhN2VdP2z+Re5/jkTv5eNSJlwAjgTcSbmxk7vnvc++3\nBDgImWF4GhkgLAbmADsDNybcWJ0rUW0GAIbxz21hWazY5qEHH8z9vRw4dLXnFy+9/OSXkB+JRet4\nj5OQLU1e8t4DnlEheitFV6A4+Z/9GgWbp7spRRZ4Es2XWDQH/1RsjtO+Gk4y9LIKZ89Epi331G/t\nmELKq36m9vnUrPMZDU1joDnwRXXAXsKN3YlUCgRYGXXiLpLE6631vE9fZLvgc8j5dAiQjDrx6lLh\n+yBBf7OjTvxQJB3xMchs3SO5Y+KABwyMOvFiZMngh43Z2b/LVAM0jH9gm4ce0kB3ZPS/VksuO+VK\nrdU2Wqtzt7jr6XXtBBiBRC5XAu/rtP0u0NXP2gcAn+mUfT7QA2hrHT8ri8VHKFIadkHrYTipH7C9\nrYCfkR+b85G7mSs3WmcNYxORcGNjga0Tbmz42p6POvHmSIKgpxNu7LH1vNVVwNnAg0gQYW/k3BoL\nfISkIu6S+8xvkPOvAEk89CEyQ7ccWQIAeB54N+rEG/3tzm1EZgBgGP/QNg89lN3moYe89RxyIhKE\nFFrXAZF+byRDWy8bbjWuioB+DaypKuC3xPIWA1OylYV36Yw6TKcCsmfZ8gKgFqKZj4UFWNhoQt7m\nhLzNgY/QvI5HM/3GzqUbsbuGsUlIuLH1bbvtgWwHPPJP3uN9JIbgG+Tu/gugJ7K8Nw3YG7gv6sSL\nok7cQQbwHyOVC1PILHsQCTIECSicDZyaS0+cV2YJwDBqwNLLT+4K7A4MB3UWUNTs7qdSqx+zYvDh\nFlLF7N2igRN94P8C0eQNRJODvF8KM8BrdsifEDz37QMBvKf2mgVs4b+y80UqzGCdVD8orSpQnExA\nP4uUQ90fsNQ+n76r39j5PiQvQSvg5FrqumHUSbko/YuQi/ezyFT9/0z/R514C6Aw4ca+zD00AlnH\nb4Nk/TwbOCbhxm6KOvGTkPLww5Cgw15I3oEnke2ECSTOIACQcGPX5ZYPRiAxAi/USGc3kBkAGEbN\nuBZZFpjW7O6n5q3jmMuA25G1/7uRyOQdgQlIzfsxwCT/2c67AmkIjAWaoJivNZORQKZW2PoytHrf\nOuzDSwD8GR1C/owOOyvbXojHHWC9UpMdNYxNREdkGv+VhBs7nHVffMcDLaNOvDThxlLI7oE2yFT+\nS8jugQ+iTvxI5I7+cSSQsD1y/m6JzAxcmHBjl+YeI+rEtwFcZLvhD0hwYV6ZAYBh1Iw7ke19f0jl\nu/zGo3dEflCesYJMQXYQvAtgHTP7y/QDvW4CQqHzp6wCzvaf7Wwh044r7FPe2636ffwXd/svFoeg\n/AoUuwL38vt05p34/FsrnVEB9bLaZ976gpwMo6GYC1yNJOv5g6gTvxHJ8tcHmepvBqQBEm5sZC5h\nkJ1wYxOACVEnfglyzt2YcGNn597mtagTPxzYCZn2Pz3qxKcl3Nj4qBOPILtzbGBz4MS6sCvADAAM\nowZscdfTk4HJa3kqgkQoR4sGTpwBHL3G8y+ALso+udcIpXjNPmXWp/6zncdpzUrv6T2L7ZNnLgcg\nazUH/StB3RT4DkUUQE/ecRTK2o6APwnYFnRXPWWHzqrX/Fk11lnD2ATk8vcPWcfTRch5GU64sRtW\nfyI3zT8aGB114nOQ4MHJyNT/21EnHs7lESgBosjafwIJBmyRGzzcjeQTWIbMDpxNnqf/wQQBGkat\nKr5xwmxgu+IbJ1y99iP0m1j6K6W4E0nzi3X8rBhZ2wK+9p7eM7e9UO0KysZTE1H+Plj+/fqNnXri\n001pNle+tbuy+CYXIFjnEpAYRl2ScGNXAO0TbuzTtTw9B9nX3xa5698/4cY+AU5HsgtW5/3fCkkl\nvBjZ+ncmEmPwb2RWoDGyHPAjsoyQd2YAYBi1KDHoiG1VwLsiMeiIMEDVHQffWHXHwdOr7ji4OYBV\nkOlhRTLFwA3AfdlR3U7Ijur2tvawkRzkS3JvdSqW/wkWB2BRphRjkPXNrYCb0VQAY9G0JmNZetJO\n69yBYBgNXdSJn0Aud0fUiUejTnxK1ImX5Z7eGdnuNxeJ7Xkz6sQfQ5J5fYnUGqhOJHQRsC0SjDsa\nmSX4FzJj8C6yTbAXcHbUiXeslc6thxkAGEbtuhzJUHZW7u8ttGYrP20PX3nr4VcA34P61j7lvZvt\nU96bhQQWdcG3P7VPntldhby5/vjO5+Gr5mj1Gr7/mIJGaF7F10Ox9QJgEBk7S9oeRdY6DVnTvDEP\nfTWMOi+3He8u5LwESd27NdA56sSfR6byv0IS/gxOuDEPCcDdJeHGTki4sX9FnXiHqBM/G5kpmIgM\nFr5GBgkvILUHTgFeS7ixBPAoMpBoVmsdXQsTA2AYtWs48CuyTQjgQp21W4H6CAgHTn/30DWOvxX0\n4yqgd/Oe2stSYY4FRoJ+HG3tg0KB1xJ4Cm1dDN72KJZge0VYnE3WmgGM1+i3/bntg/buCzK111XD\nqPsSbszPBQG6ub8viTrx7YHrkKqdExJurMsaL+sJlEad+E655YCbgeORtNxHILsGOiABf4cjN9s/\nAQdEnfgTyA6ARcCKqBNXCTeWl2ydphqgYdQBK289fAdgcbjZ8iOQSOUrg+dMmwjgPbXXLcjU44Uq\nnH0cuZt/EUtvCb6vnGxn4B5Q/VB+S8L+IBRzgGm60LsG2F7b+jhyswn27guq8tBFw9ikRJ14AEkD\nPBPJ4FcIHFh9sY468XlAMOHGOkSd+P7AvsjunwuRSoPbIrt87kByAWyDbPk9FykalMw992TCjcVq\nsWu/MQMAw6hDMg/3OAe4DvRVytYXAOUq5D2N/KjcYp/y3mfVx+pJOwXwuBbUDSj/NsI6hdxtKGTt\ncYIu9IYDvbXS47Foh+JRFMPtXReYE98wNlDUib+MDACGAQNyf3oAgYQbu2aNYx0kP0ATYCASP3Ag\nkoDov0hlwSlIwbASpHRwPOHGPqiVzqzGDAAMo47JPNxDKdsvAD4APg+cNf3YtR2nJ+30JpoW+Mwi\n5JdgcThSCrgRcLfqNf9yf1bpUcCuwCAd1BORH6Ld7F0XfLK29zQMY+1ymQQvRAJ0L8nVG1jzmIOR\nxEAfIuWEz0XOySaAj+wS+AGZxZsG/ILMMLyccGNH1Hwv/sgMAAyjjso+1j0IeIGzpvurP65f3UUq\nkdn+r7n9/0cT9LvicykSsPQSFo+rXvP/MNXvfdT+Mo3uSIgIiqpAhy/OrLXOGEY9Ub3vf43HuiCz\nA68DByBlgx9Cgn73R2oJPJNwY2+t8boAkpZ4Xu51QxJu7Lma7kM1EwRoGHVEatg+CjgPmBu+6K0P\nAmdNX1fAXnOgMZ51lDr44+rBwQz91o7HIRUFH1O9Pl3bOv8pQGtkCnJVemG7vYHZobZfuBu1I4ZR\nj0Sd+LZI3YD/JNxYes2Lf05jJAXwqoQb22O1196DzBpslnBjF67ldScilQOLgVJgu6gT75IrQlTj\nzADAMOqOXZC7iFeRtfzf+OM7d0YqCg5ShRwEWNoNavXH118NjFX7fPqHHw9vTvuw3XFBCrhboZpr\npYf5AQ5DkpSMBC6uof4YRn3QH7gA2b3zyOpPRJ34ZUBVwo09EHXirZEsgL9JuDEv6sQPRAL+Vn+d\njcTqTEC2Hz6P1P94ELg+6sR7JNzY3Jrpzu/MAMAw6o55wPXI2j/e6K4HAOX2ae9+B5wB9AU+VQd/\n/KD/fKfbgcP9l3e5TgX15cB96oBPR/szO/TQMztcg6VfRHGmRs/A4mxvTvu+dscFT1V/UHphu5nA\nc0ggkmEY6zYCSeE7NurEi5Cp+udzz12KrPE/gKT5nhV14h8AFUjxoSOR6oCjo058GtAJqEKyChYA\ne62+AyDqxF8HMsCCWuiXiQEwjLrIG911eyQF6ev2ae8e5Y/vvAVwDIWphFIcr127Am3tRSQ7TAX8\n20CvIKAX64i/AouOWHomip4aPQyL/YAhKPYHHrN3X/BOXjtnGJuoqBO/D5kxOyPhxkbn7u5TyOzc\nz8AhSMa/zYD9kAqCc5A4gKnIAOB7JCbAQQbhuwNXJdxYtlY7g5kBMIy6aiEy3TgTwDpu1lL/5V0f\nBO7XmsOxWIrPd/iW1mn1IcHMjsqiC2kmEtKPYtEXmG53XnBV9vN2zUlzj/JUH9+mSfab9kciP0AX\nABeFW5sBgWFsoAnIdsC3ABJu7PWoE48iaX+TyF7/J5EBwDwkMVBrJCBwM6AVUJZwY/dFnfihSAKh\nHQEVdeIzkJk+N+HGTqiNzpgBgGHUQfZp76b537X5Z/DVTlj6QHzrXKAS2ANUFzLBIwhlOhDkeOBS\nfB7E5tXc664kSB9f6Ul+hBagjkLWGpsg05CGYWyAhBt7k9WWzXL5/Ccg6bYnAP2QFMBXAB/xe2bA\nG5GZgbuQHB0ghYXCwHjgfKTmQCT3p1aYJQDDqMO8Z/ZQSErSb1Wj9J7A9sCh1qEfuQD+S7uFgFZs\n4S4GnsFnGb6aD9xudf3cz3zR7gU0TfGZhuJIbdFEB+iPUk8AVrj1Ai9ffTOMTVXUie+ARPePR4L4\nJiTc2G2rPd8Kmf4/CPg/4GPgvwk39mbUifdG4go+ADRSVfAV4Jrccbq2UgObGQDDqNuiSKDR59ah\nH3Vb80nrsA/TwNf+B6WbAZ2xmGnt+XmZN699sTevPUQIARk012ibecD+oI7MvWdPJIDJMIy/5mTk\nwv59wo3tueaTCTf2I0DUiXdAZgFG5C7+WyHX3RAwG3gYWIHEETwNPL9mZsGaZKoBGkYdZp/4wXLk\nDuGS9R1n7VH+CxkmkSHgz+hgIQFHbwXbfXEIWSqUZg4WaWx1JpIZ0PcctV1VRQdzE2AYf10ZEkNz\n758cNxGpC9Ak6sRPRcoH7wn0QZYLYshS3KVIUKCV205YK8zJbxh1nH3iBy+t/vfsE13PBIrsVolK\n5IfkEl2U/QmL7vhYKCaSoTm2rFUqWI6iucpwkA5xj4apOsQpKD0T1H3AlbXfK8PYdCXcWPXWPwBy\ngYADgbHIYP3HhBsbCPRGEvwcnPvnEiQ40AXSwElIsO+PwAyk6NcFuWRANb4V0MwAGMam50rgaq3p\nChyobb+nRp+MRWtsssAhpFVI27oi+3m7Tlich+IXBTuG2iy4nBBtlOYEPH5ACpRQVdHhwaqKDg/n\ns1OGsQk7EUkYdD6wD9Aj6sS7IdUEC4G9keqAXyJlgj9HZhFaAcmEG7sSmQXYESkktCjqxPeIOvHJ\nUSd+XE012swAGMam51KgSCleBobpIu9ZNAGyvAlMBt1EF/mzsXlaw1bYlKB53nOYnv2xfRESgBSw\nfJ6INP18Ue49OwJ2nvpjGJu6x5EdNROAwUh632m5P08jBYA+RvIElAFtkKj/E5AMgyDBvq0Tbuxx\ngKgTbwN0RbYcjq+JRptdAIaxifPmtL8Lnx7KU52xcFFM9hv5RwFXaFiAzTCt+Nh31L4axuig+j/l\nSfCf06LcB6iq6FAEqIKmnyfy2RfDqA+iTnxnZI9/F2Rtvxg4G/gEqcjZGKn7MRsJxj0FyS5oJdyY\nt9r7tAQW1dSuADMAMIx6wJ/ZoSnoU7HojGK21bn8nurnMl+0K/IiOFjqbj/A3ij1S24A4HsF6nwk\nShYh/LQAACAASURBVHlUo+LPzY+BYWxEUSd+ALIM0Bm4NuHGPss9roAiJEfABchAYSySPTCOxAp8\nmXBjc2qyfWYAYBj1lPdR+8uAdHoL9StwLHCJtrkZ8PBorsDzClQWONa3/MHYzIsWLBiX10YbRj2W\n2wbYH0nE1Q/JyPkacBsy1d8HyRpYhiQOmgyMSrixb2uiPSYGwDDqIe+j9groq9E+Ht9j0RWlHtAB\n9TKantpiDxRPA69q/J+1pc9QqAxgBgCGUXOOQ/IHbA10Az4FbkdiBfZEZgVeQZYIOiHLCMXU0E4d\nMwAwjHrCm9s+ALwE/GTvvuBs76P2//bD9LdSen/f5h6/SB2HbDvK6gAaS/+fb/n7YPtbo3QFfuD6\n/PbAMOqfqBM/GkkFfD1S7tsGbgC+AEYh2wK3Q/IFtETOYY1UDHwNuL+m2ma2ARpG/WEBWwBNAexd\nF0wiSBkwTllciM8hGhJacT02V2rFO0BrtFqExTht6R+WJ9s1z2cHDKMeagw0Bxon3FgaqQdwO5KF\ncxhSJGg6Egj4NPALch5PB4YAHXIxAxudiQEwjHokNwvg27sv8KsfS37ffgvgPg0Ts8XW/iiO0eiV\nGt8nQAXKHw9agdUf1OTiyBdH5q8HhlH/RJ14MOHGMms8dgZwKDIYeDH3cAhJDfw5UnSoE5Jj4IyE\nG3tyY7fLDAAMowFZsaLDAI3uBzTPDQAslP8jSrdEWy+AerU48sXIfLfTMBqKqBMvBP6LJAsKIDN5\nHqCQgkELgYEJN/bNxv5sMwAwjAbAXVLaBtBOs/KvEyvbt0HzKRblGm2hmE7ACyOpSa8qDn21Is/N\nNYx6LzetvzfwbsKNZaNO/BEkV8AMpCTwa0jCoLcSbuyBdb/T32diAAyjYZiI3GWAUl2xeBiIK6wt\nlbZ8JDDpXOQHyTCMmvcvYApwfdSJFwHLkEDBj5C0wW8h5YRPqakGmF0AhtEwvIxEFgPE0KqV8tgO\nxf7a5iMkcPB54NW8tdAwGpaZyDk3Fdn/fwWyM2AC0C7hxn6JOvFjgUXrfot/xiwBGEYDk1hVehAe\nl1ha9QaOalT8+aR8t8kwGrKoEw8BlyE5Ar5IuLF9a+NzzQDAMBqglcs7BICWjYo//y7fbTEMQ0Sd\n+OaAmys3XOPMAMAwDMMwGiATBGgYhmEYDZAZABiGYRhGA2QGAIZhGIbRAJkBgGEYhmE0QGYAYBiG\nYRgNkBkAGIZhGEYDZAYAhmEYhtEAmQGAYRiGYTRAZgBgGIZhGA2QGQAYhmEYRgNkBgCGYRiG0QCZ\ncsCGUQNKS0s9YB5yjn0GnFleXl61luO+AVYAXu6hqeXl5ZfUUjONDbTa91ltTHl5eby0tPRtoAWQ\nBFYC/yovLy/PPX5leXn5rFpvrGFsIDMAMIya4ZaXl+8GUFpa+iRwAXBX9ZOlpaUKULm/7lNeXl5R\n+000/oLfvs+1OLW8vHxWaWnpv4HbgSNrsV2G8beZAYBh1LxpwC6lpaWtgdeAmUAn4NB8NsrY6KYC\nl+a7EYaxocwAwDBqUGlpaQA4BHg191A7ZDngvdzzAG/lppgBHi8vL7+71htq/BmntLT0w9X+flt5\nefnYNY45gj8uExhGnWYGAIZRM1a/YEwDHgZaAt9WX/xXY5YA6r71LQE8WVpa6gLfAH1rr0mG8c+Y\nAYBh1Iz/uWDk7vZX5ac5Rg061QT7GZsisw3QMAzDMBogMwNgGPm3egzAx+Xl5WfktTXG2qwZA/Bq\neXl5LG+tMYyNQGmt890GwzAMwzBqmVkCMAzDMIwGyAwADMMwDKMBMgMAwzAMw2iAzADAMAzDMBog\nMwAwDMMwjAbIDAAMwzAMowEyAwDDMAzDaIDMAMAwDMMwGiAzADAMwzCMBsikAjaM1YxtO7wtcB0w\nAZjSZ+GFlXlukvE3Lep7+gHAycCjwPst7nsilecmGUadYmYADOOPDgTOBMYBk8a2Hd5mbNvhTp7b\nZPw9RwNnAW8Bjy7qe/r2i/qebn7zDCPHnAyG8UcjgY8BBewGfAI8ktcWGX/XNcBSwAeOQ77Xq/Pa\nIsOoQ8wAwDD+qBmwHZAAPOQc+T6vLTL+rqOQ79NFBnQpZEBnGAZmAGAYvxnbdvhVwAygAmiMxMgE\ngePHth1+bD7bZvw1i/qe/ggyA/ArEEW+xxBw/aK+p++az7YZRl1hBgCG8bso4OT+CXLX6AHbAqfk\nq1HG31ICFCMX/Wo20BE4OC8tMow6xgwADAMY23b4f4BzkQuHAn4BksidI8DWY9sOj+SpecYGWtT3\n9PCivqe/COyDXPCzwBIkDqD69263PDXPMOoUMwAwDLEDcrf4GhI1Xgx8lXtuObAHsqXMqNvCwC5A\nFTAG+AaZxVmce34FcPSivqe3yEvrDKMOMQMAwxCHAj8CBwFHAhlk6r8K0MAy4Om8tc7YIC3ueyIB\n7I/EcFwA7ARsBrRABnIRYGGL+55YlLdGGkYdYQYAhgH0WXhhEngTmfZPIMFjPwIFyMXEAaaPbTu8\nKG+NNDbUl8A7yCCuElkC+AGZ1QkArRb1PX18/ppnGHWDyQRoNHhj2owoBI1SnA0UIVPGjZHp4h+A\nRsi54iDxAUYdtbjfacVAF1D7ITc4EaAJsAr5LqNIbEBonW9iGA2EGQAYDdqYNiOaAHOBZVqzWCmK\n+T14TAFbIPvIGwFf9ll4YSJvjTXWa3G/0w4BRqP4Aq1/ArUl8h1mkSDAVkgugAgwJ38tNYy6wQwA\njAZpTJsRNwEnIneFIVCtQVcAryAR5N/n/jRGgsoWAWPz0VZj/Rb3O20sEq8RBDJK0VnD22h+RpI6\n/QTMB3ZHBgGfAxPz1V7DqCtMDIDRUCkAy/LbBgIZAoFMDLhJa9Jao4HWyECgPXL32Bx4aGzb4XNM\nbYA6RwG2l1HbZNPWEi+jLlOKp0CnQRcCbYBjgKa5Y9sAby7qe/qYPLbZMPJOaa3z3QbDyIunWo/s\nZlne8FAos3MolPZXrYpM0to+CEApUsiWsmq/IOvGAWC3PgsvXJCHJhvrsOSyU/pk01aZlwk2zySD\nKae46hMF3QAPlOb32U4PqQ9QguwKaNHivifMj6DRIJklAKNBerj5ox0jYS73fXuXZFKn0ulASmv9\nq5IQP83vcQAuEk2+GbJLYAtkHdmoA5Zdc7wFdNU6NNAO+s2UlbKtYGaVQnurxWtWf5crcn/fAtkl\nkK39FhtG3WEGAEaD8sDmj7cD/wXbYrt0Wn0fDvsa7OW+zxZK+Z2Bl4BOWpNVCo2sGStglVJ+o2Aw\nkw6F/Oh6P8SoFb9ed+xRKP6DVq2UnV2kvQCWzUpl+S3wVTkwHckDsBgpClSSe2mF56lG2XTgF+3b\nDpLrwTAaHBMDYDQ0xUCx7/OrmwqGsx4JrSnwPOVlspbt+6oAuVhEkD3k1dPDjtaqi+cFdkeCAo38\n2wwoxPIrguGUB34GdKFlZ7Mq4BUpyy8GLNBbAgtXe12JbetOlu33RL5rw2iQzADAaDDuLnrywqpk\n4OGqZPCUrGeVa1Rjpch6ntUomQrYqVRwa19bnYEqCR7TOyFLAMuRLIDZcDg5sVGjqhOndB/ULq+d\naeBW3nr40ICTPtcOZbdXlq7SighoZdnZYDCSDQTCmU4ovRXgaI2lNbshU/5fAa/7PlXuisgz7oqC\nQfNP6Bde/6cZRv1kBgBGQxIFNvN9tVMgoDuEg15WoRpr8C2LtB3wPfALtWYFsEKBr7WerTXDgGJQ\nKyORdAo4BDAlZfOrMegmWvknaM9q5adDacuyGilLoX0r6WfsrPYp0uglgAa9AvQM0IOAbS2LSi8T\nbIl8l8X57Yph5IcZABgNhlK8qzW3+ZqyZEoXg2d5vlqczVoLQT8dCXmfWoqVSqnmoGb5mq9A7S05\nAkgBSysrix8Auvaafu2z+exLQ6c1EzX++EDIGwqerbVfgPJ+UJb3mZe1Hve9wBdKqaxlqVYoJqNY\nqSx6otgKSAOfFxavHAh03WHcvUvz3B3DyAsTBGjUe9faY5sCOzYtZGjGYzvfV9looVoFdmPPo0iD\nr32VBX+FUgS0VhrYVinVCtQi4AXgWeABra2XFi/e7Mi8dqgBS4/oXeolAy0g8pgV9DJoftE60NgK\nqBK0LlEK7IDvZVNWUikNSmcUtEWp5sB8pZioNbcBb4ac7PMhZ1n7fPfJMPLFDACMhmAY6CO01m8p\n2RfeLJ2xAuGQPylgebtYUOKjN1OKFpbSGV+rT4AdQc+3Lb+RsrjbsvxejRsvtysqSiZqbc3Ld4ca\nsGcIZgu1xzta0xxUiQpkl/ope4727INRVlb7alsgqbX6RaG/BXbVHh/6WjUBNSGdCj6UdkNLoput\n/ByJ8TCMBsksARj12t1FTwYV+tWQrd+wLQ5ywvxkWbyb9ayCZCrUbcWqcCaZsv1wxHOU0stQPGNZ\n/ndKMQjYGckIGA0GMz0LGyXPbtVqyc9NShLb5bdXDdPKWw93tGaCtyryDVgH+MnwJKVYGgh4xeHC\nTPdQQWoZdtby06EAmnK0egttfQhqAhadkS2dJdlUsE9VotExyxaXfLeyssh8l0aDZTIBGvXa3UVP\nTgUiltJ7pX2GZjy1wMvagwvD2WTA9qORkBdQSlsFTvqXgO2XKIWlIQvatiyqgBfD4fT50Wji0IiT\n2XNlouAEUImSzRLDgYc6vXqbuYOsBStvPbw58B7wju/TVwW8++xwZollqcvTy0OVnmcV+umQ5Xua\nrOtUaW0VAVr7ZFGE0CoBeoi7suCRVYnCI7WvuhcUuad6WXvSql+LngYe7/zarebH0GhQzBKAUa/9\nmlJ2QOlkZTq4uw/nWEBY+cmwpyKeb1vRwoyrIZXO2Jv52l+uUEFl+/MiIW87ra2Q1mqXSDgdz6TD\n56aSkW/S6VBx45JfK4ChSHngIfntYcNghTIpy0ln/VQgGWm66hR8farWKptZEV5sR+ymZHTWc+2A\ngsV2MNPS86yVaOVl04GvlbJaWbYuAtVN+/a+TkFyF8vOpgMhb+WyxU2aAY8A3wGT89xNw6hVZgnA\nqLf6qbGNfs3Y2y9N2zv8qvwJQeVjQUQrHdJQkPGUvbzK+kxrmmhtJd1kJFiVjISz6XDbVaucIZ6n\nFvi+2iGZDDUPBDLLUf5Wvq+cbDYQzGTsF5HcAEYtCDdP7BssTrYNN19+GIXJgV4ymPI9bfsZqwSF\nZUfSFnZmvobmVlCvDBWmI8HCVIFTnG4UKkxdhNLLULqbRq9MJYMBoInWFIbCGSw7+ygwLd99NIza\nZpYAjHrtJGv0az76gIi2/TBoD21voRRNwuBrnW1WUhVQls74vp3OeqpQoReGQ/4WSvnRSCTjg/66\ncfEqFQxltrUsf1U2a/ULhbwRTtGqn5u3Xjxv1bLoT8A17Z++f3G++1qfeWO6hHSJW6583Ro3kNFZ\nhfbtQObnIs9fFQ74SqfcJSVBLN+1bd9Wtm9rz/rE9wLts2nL8TMBy/fUrKpEo+39bMDxPPWdsngG\nbfVfsrjkuxWVRbOLipLfAlfu937My3d/DaM2mCUAo946T41RruVv44GP9n4NEWjiolXEAjcLYdsK\nJqpCq0JBQuFgpiAc8jwFLR0nZUci6WwqFRwZLarqHAhmuijlr8pkglZxk1/LgqF0VdNtlqZSCacb\n6EaBcEYD5+S7v/WZKshEKMiUoHHx7LSFVeTbWaU8O2BFMlp5djjYyF2ltBVKu8EgGdsH2idXOI7n\nW24wmB3qrig8zcvYIa21G4pkWi79cYtzMx4/fffNFoUtmi/fT2tCK1cVzAVG5bu/hlEbzBKAUZ+1\n3MwPbBvSZEFtBjrbDMhoK5v2rGQyQ6qyKjgzmbJ+0rAglbHcVNpeGQxmf7ZtP1tQkFrka9oFAp7W\nWhWsWlmwFEsvbLfPvHBBi+Xeom9aFgXC6V9DTvrwHy8606STrUkZ+0T1S7hYpVUYSxf7WcvLLC70\nrVA2awWzaRXIJELRle9ZweyPSuuvA06qyrK95dmM/YvO2lWpqkiV1rql79nBQNAvjBSmvl1a2WjJ\nlJmlW2Rs7+emzSqiK1dFLM+zzUDOaDDMAMCotxYEVhZ9byc/U+h5WbwPg1gksZZrVEApIi2aLQ8U\nRDL7uim2XFUVinienQ6FPJVMBn/yPdu2LH0tWMWrVoUqV62KLG/V+sepTZsv+7lyYQvtpeyvN9/6\n53GNt/wlEy5yx7Qa9rgpEVyD/G2XL9MtUgt8bX3gW+oztLLtorSLIuBlrFDipyaO9q39rFCmWahR\nyte+nfKytgqEMoss298crW6wbZ0MRJKJQDC16ItPtn3Z9gLZNq0q08C7CxduNXnR0sbLVq4KPZLv\nvhpGbTFLAEa9tFdw5BHAo77WJU0JWa7yM99olxCqKO2Hs+2brlCtNl9pk4mQsjRK0bogkl1sWXqL\nUMjfHOX/GnbcRpbSvu9TEvz/9u48Ps6qXOD477zLrMlMmnSnlHa627LvoCBIQZFFBEG2i4jiVXYR\nyFUQvYo3ioAXEQSBelHkIrK7gKCy75SlbC1taKFrmjSZmWSWd973nPvHSSx6QQHbTpM8388nnzST\n5M2Z953Oed5znvMcv2wamgrHoXRBuTq++oXJhQnbvHkzsL2TrD1e7+c7lNUWTvs6Kc41eZNxQ0eZ\nRFAxW1ZqTqefJq5r656Z7NXyDX4iZlB+EDfG2UpX3V5dc8dhnHFhzclX+uIZHamE42q3tyeTrJTi\nZ9RCVY57UXLqhK5lL76cWwaMKVXi8+v9fIXYVGQEQAxJBlPRGCJjXq0S5ctEDkrVakpFIUa1dzVE\nK7vjfQa9wHXNWalE7QSleMNRulKrud2lUjwKql7JdXVvPB6+FItpB6XIbrHuhey4Hmfk5NVbdCwa\nf3HHovFnRFWvq6v1MzPq/ZyHKgMYRYSnXzVeWCSlfVUzocqGWrnayUxbZbyGUg8qetrUvOPCivcV\nbZxuUKHrhSviqUoD6B6M6qkFsVcdhVcL3d7lq5ufX7662azuyO4+PbfyyKmTVn087oezrx93/Yh6\nP2chNgUJAMSQMz5+yVErVZ9bJoyXnXBWlxNmK452tTKpGArQ7gijVNeakek13cmtOwrxvdb2JA8q\n9vn3hJG7KAydB2O+Sekw5lTKST+R7vOSmeIziVRlbdeykcm+rgbdt65xBBC6fi0D3AbmytIlB7h1\nfupDSrE40ysWZ345zKiCjtOsM3zIjAwbSRkXz0mbCEykXKfkMmJ8dzY+urBzfGRh/+TI4j5+qnKD\n40WvK2WeUMZ1E8maF08GFLsbdGdn9hmFU91ibFdsZHNRNaaqo4HamrXZQ4CbjOGitsRN8t4ohjxZ\nBiiGlPHxS0YBbwDzm3X8VQUnN+tEJWaU32C8fKNyYiPxGxSmkHLormhcXzFmXGPgp5MRGI3rUksm\nyz2ztl2crJQSDcaoyEETT9YWOA4rEunSjbFUZaTn62tatl16aNgX/1rQkyjGGmqTgY+nzr53UZ1P\nw5BQLM48HrgBbX7m9+g5RGp3r4eqCvApuKtNT2oUpYQfRabHVGOrlB+O1RU/Ve7IejrwlTFgtNPX\nszrbt3zJlk2Z5rzb25NxUg2lzmop1WMMvy8WU0tLpcRard3/fX5Z0/mN8egTCcf4Qc0LgT1aK0fL\nG6QYsiQHQAw1ncClLuqkgqrNTuEGWWKvR8rMrCrTnDSYohswziNZrsYzDlG1Oald34u6I20qvhv1\nKqVSQejG/FgtSjeU8soxa9auGPVmqnFdGEsFNzsOox0/+pEXC75sNGW/oTpHGTPPRF4G2VxmQ7oN\nzSfR6rAwrWJOkXVOj5c3Cb0VaTOOSkBY84j64slYKpwVlryoVkiqKFDrUFFJ1/wAVEorpYPAj1Yu\nG1/x/ag9ngyKPd3ptdVq/G5t1JFB4F1WqXmnRVpN6Cn75eaYfgFI1/vJC7GxyTCXGFJWVs82Hs4l\ngKMxzSG6uJay06HKlRpaF1VYWWVgUVX1RsaEjsMapTD5wGsKI3+cNu6UeDxclU4Gr61ZNiYbaXet\n5+vOkeO6OmOJ8GNh4P+8r7vhIoxZ5rjMqvYkt66uS96ZPPNP/x4bVdw/Nqr48fCGPfx6n4ehoLHx\ntT6l+YmCOEplTJxyMCpSYYY+HB2ZhqjiT8rjj8+XMVobzVsolJ+ptvhxM1EppkaB/3IiFnaOm9CR\nVopCUI2/3NPVlAmC2MGpVPnu5hHFz0SRWolRu2USQWZkQ+Xa1srRR3ZUna91VJ3D630OhNiYJAAQ\nQ8aYxMWzxiQuvqOqwo/4OCs9VNnDbV7nVnPr3GpjLzUnhDjoKOkYPKW8SKuWhX3Omp4KYU/RKxdL\n3p1Gq87e3tRH1nY2FRa/NOUPKHOOG6u1OX54EYb7okj1rH1z9AOxluIVwbrGntKq5oM6vnr0aOAb\nwDXAF+t8Kga9Qt+MQwp9M27XrqkQ4RCxzlFqCz2SMdEok9YunhMP4zp0AlX2UxjXcVNBJjFtTbeX\nqtZiDX1FNxZcoVS0RTLbt23DiELHrB1e/aY26tdB4B4bRc5VSvG060bBxImrrlhd8G+e0FyNjR8R\nHNPfhIuBX31V3fyhep4HITYmCQDEULIDcBCGfYAfhJhVFUIdYpKJyOlzlaMDdCk0xi0q3bDShH0B\neDMaA29iY1RyHO3WInduoKOxYIJ4opIYNbbj34w2f4hC9btaNXZBekw+oeJhMHmfl49MjslXdM37\nJXABsBZH/0Y1VJaoTHlyfU/DkPBhDAfhMBtow8NELhpjYqpXG+WbSLuUlR/FGFWNVLZYRqtk74IJ\nUa0nXdbaSfhNfUcHoZ8yhlqlFG95a/GES40xdziuvs/1wtPeWpPpW1dyRtz/wqTWfOA+7ihuMIaL\nAKro+/Lo5d3o7et8HoTYaCQHQAwJmWTbCGCruFEvgTo1T/BCXLnx0BjtolytzJoi1ady0YjfRjCv\n12jPV0Y7qFhf4LU0Jat9E8f2uuWq68eTwehZMxZ3+vFolFJRomFUQa1b3hIEpbibmbh27y13XLIy\n1lTqCsuxfRyXHXGiC1v2f2Wk6Y0tBjLA9DqfjkGtUJo+B6hiWGkwV0dxHnS0GwcTmQhfxXi5NoLf\n+/MbIF37qpOMfON4xvXx/XQQr65L91R7Gn0vVUnl12Zi3atGtmvtzSiXveTarsZo8lZrGuKxmnpu\n8ehPrupOL+itemNHpWvHG+3s0BvyxyPcX2YalbsUGA/Mqe/ZEGLjkQBADHqZZNtU4H9R7BgZItDE\n8HZSoDRoDbqidC40JrfM6ZsyVTd0YhirICqjO8Y6hp5izCuUvEoxctJ+n//Y7NnLLlGKc71E+Lxy\nOCjRUGoKlPYdx8R12e+olLOnVvPpbuWHV2d2bd8POFM1BPvqdHQqnp4UPTddudsvkgzy9ylfmXYA\ncAWKqSgiDMoJnY+i8FAo4yq0r2arqp6lW4J73bV+mYC0ckwhQld04Dixpt5Gt1rpirWURozzox92\nrRjzFPCl3t7UM6CO6C0mMkYZN5sOlNLe6rgTHTi6MdipEjitD6zzLwC+U1TR1gVV+3qIkU2exJAl\nAYAYCg4CdsTQESnToAwJHwcD3QpTUhjXwUl4KCqO2b7D1L7fgHeWZ4hHKK8vdGNph4vXVryFPVpd\nk4qTC4PYZ8OAY7e7+cflp/f/jzuSmb67R4ztMlHJz7tptnOS1ZszU9b8SZcSu1Lyl9IQPB1MrB2K\n4lynD9/pcZeZ+7b+ItCm5i64v94naBA5AsUUNF1KqSSGFOBgzHIMaQwlFdGoqsDY6nRVNb8hdI4m\nIuUkw4SXrHnAGYktuqa4ifCsQLt7JlPV6m5/+s7BAI9+9JsrS6X4RR0dzSbl0V0LmVsMnEcXd6Qf\nS7nsmiZ8uQjPL3aK1zhwfIZY+1HOjWng08C/36yPXVbHcyPEBiUBgBgKbsXwWeC3HuprjlKJmokU\nMMIomuLGfVLB5BCzokjt2YTj3m1QUx3NTWNxpzS4ZtK6QN213eTO09f0xdZNmrg6BZwG3LP6zGNJ\nN4+4tW9dNpUd31VMjcun8MKnHS8agXJcVPQ9k0/ODCf0XY8xbTj04al5quqOAPYCfgdIAPDe3QVs\nA9xjoFUpQgMOivG41LwajxjYxyTVY1HcvOg2hg8rreK6wI/D1dkDiLxYbGz3i6ufmHpMYlzPqjef\nnjYFmPXExy64ePHrW54xcbK6KNPUqxcuGeevLvpBZNRTYaTGK8VrgWbeWOP1ve4UH3HguwZWG8y3\nsNfxI8AkQAIAMWRIACCGgq1d1M4RZicDWhmWAIsNjAZ+Fyr9mmucK5RSW9eU3qFbVyc2mtj+LcZt\nCVD7LSu7NzpwWU8pNnPm+G5v2uw3k5Xe5NdGjO3pw/Dz5gkdiWRTsThqxoqi4+mxKhnsrMb1/kll\nat9WC8YcDxxltBqBw/bGcC8Be5mWYKLqis8Altb1zAw2hh0w7IJiRww14AlsfUUPxfWRpyYqbQ5Q\nSu1hXLV/2MQ2fjcfI58Y66UrH/EaK5ei1d1uLOKtp6c3LF+85ermkT1fWLF87OciY855Y+kYP9T6\nzdU9qWxoaCoYs8sqFdxScvQl2+vk9cCJCrOdxuQc+JWD+uZap/qbUTo+62Z97Ft1PTdCbGASAIhB\nr1Bu/X1z4vsvKJgZYZJKsQTYUxlVclBb1TDnOpiYQjnamCBu3KYi1WsbVPyutPGaNRwL/HnRquzT\n++73jJdI1T6SSNVmKKUbQLU48KOxM1be4bjmlzjmUTWmb6XTWDuKUF0FHAXk9djwFWLsB+wXNdDt\nFHlLzV3wRl1PzGBkaAO+BGRRJgWqgmvmYtRTyqjDjcc+qooDNKAponUsbFCXK+M8q1wzAcXXMOqB\n5g8tzz/1x523rgWxqatWjJ5uDLvEPOP2leJfXdaZXmsMPwoNt61StVEVpT/jGjqA7wB/6VbBKKP4\nMHBcyYSdaeU70vmLoUhKAYshIZNs+wOG/YEeDE4cp8lBrXFxRgJ9nuHZuPF2Thm/IYuvu1VQ+Hnp\ncwAAIABJREFUS+Os2Fc339Ojafz0Zx6eNUKZndJolGfWNY7oPdv19VXGmLsbxuYXKcXDiSkdpwIH\nKE/vTlPlFjTjFWpquGXwBQN76ziTUGoikfmeW2MkcIU/7fWX63tmBp98adoboCfgmLVEaoTSrg9q\nnUKlMJRVxbzkRGZ3J29iKkKbRhzWJF9yFjT+WfvRyJsuOXi3LdLhFFX1iYx6fV3XiHmgvhfU1KWd\nPQ0A1ywsOXcDvOlUPp7GfU7Biluj4z+0i3/1LyOiVFXpuYCOGfcbHs504OtP1b7UW8/zIsSGJgGA\nGPQyybZZwG+BLQGUppbATQF9Dqpdoaa6Rjk+Do3Gdx2DV1Nm/hzS42eR6v3IJ5+avueBTy9a+/rY\n0V2LxuvnnpueKZWS3z38+PtyXqqyJJGpXBAG7lP+6MLzsabSdszIv6R63U4VqFhtUu0XSnMLhi21\ng8FTP3YC06WgDfhWLesEwATgtNTohbp+Z2lwyFemfRptrkbpDA4uoYqU8WLAKmVUCU1WaUaqktZO\n1WgT4SjHma/mN2/NmtT93zr95AtAP7LDh5aXtxhdiM388IJ454pRZz/7p50/srY7uboWuqenk5Xf\nvbouEfYak1jiVd5q1n7BQa1Y7BSX+DjXAA01pfMac2bSeAcC/2YwR/Q4wf5A++vV039Q37MkxIYh\nUwBiKBgBjMPgK0O3B5kIXVCoTge1DMhHyuzqGrMSpbYySumQcLQfeU9UlPnhvndcYq6cdtm94xPh\nIQnf9BULDU8a4zw65rJfXfjG5764cxR2T+3ryn7GXd08deyBLzY5Drvq5uheHTPjMHzK+OSoscLE\nyBiXvVVIE5ofoLgYuA+bPHYOUKrjORosxuCoLMZxCUwBpZrAFDF0otViYIpRNCuXFQ5qS+MTGkXK\ndWq3R3Def1595arFL014KJZPb+cos8SPRR3jJq/+/TFLT77izjmXHd65Lj1n7Kj8J2OpdOGuFUkF\nNK5wSncaOMyBsIZudqEzIEqA+mqISTnwxbwKHgCuAl4FJAAQQ4JUAhSDXqHc+hjwDBC40GBAB8pU\nq0q3KNRcYBdgXaB0m4bbI/TLceOaXvj4QhMGAG8tGb99b19ihFJm7cypqw45PX/cH+3R1SW9q5s/\nFVX9a0d8bOGz7ui+kgrpChvZQztqqtJUVEk9aULGGVclcMihlI+r7gkzzvXAOODI1OiF0vm/N9cB\nXaDyynEbUWodigYU44H9cNgGl2Xa52zj8GfjssjpUy1ec3nn+OzVbwENUz60YkcvXktENf+VzPl3\nH5w5/+723293Sdz39JXjRudHGcdc/duO2MICOokxbxYIDg10NNrBWZbGXaExIwN0WqPHoVChMrej\nuA9Ygs0XEWJIkABADBU/Q3FrBD8OFQXA8Yx63gHjQFdI9NFARR9e5fTeuSA4ZZspOrNDD7WLVjnl\nQ3b3f+YCh768dPTsA549b6+5z5wXvO24P8nOXHHHpIOe3Sq5Zc8e+FSiJE+5JUK3Qsrpdqe5nW63\nblRr8ZUxrjomalD7hw3qU0DZwErtk6/PKRl8sonXA9BXo6LbjYp+jcI3mG4Mz6FpMJF5yTj6GJPk\nyGA030xuuWh2bI370aildks0Lvj32Bcf7FaO2W38Tu2Tp/3yyhMHjnvg82dXgR88trTlxTte2GK7\n7lDtYBRvlFT4RpOJF3zc1Ggd33GEjr/Qp8IS0FFTek5RBWf2qdp/AB0Gs7JMWKvbyRFiA5McADEk\nZJJtj2Pv9PMYkoCPIWwiph1Uoodq2VNOHLi5s3LusQC7+z/7PbAfsO3jtS+++m7H1ndt/7jR7KQr\nXlFt1fsZPSb6PJpDVJda7Jbc8RhWVWaGW2lf+bgUiHjaMRwCXKDjakeN3heXEzMNi27bBKdiUMsH\nuQx2rX0Thg4MTYBH6JTdwI2hDFE8ihRuAjg/k1p0EUD42rR2oObNfH3Gux37ROemRmCpCw2aaHG7\nWz24oGq/cQ3jWnR8bRpvWg395EI3v1eVqFtDwUMtdJWzv8EcVCH6YUAUqzjRJwvl1oWb4nwIsTHJ\nCIAYKi4HHgW6UHQCIQq/SM3rpZY3ilAZFntG7To+fsmu/b9zHnDCP+r8+30dw6n0JXb1dn/1T0Zx\nksGcQLN+0CT0x4OtwqeoYVSkH8EQQ7MPmkuAS4FH8QDFDwul6apYnKmKxZnnFIsz999oZ2JwKwL/\nBcxHUcBhDQqDYxKRH1ajWFQCqkS8TqQ+XSzOTPf/3peAr/yjA8/TRxeB0xw4aST+Pg/UTmrXmP0N\nXLjOCW6LMHsvUYVqHLcLeFhBiwuzMJysUH8I0c9VVDQJuAxgfPySxvHxS74zPn7JrI12NoTYiGQE\nQAwZmWTb9cDngCuBW4FzHMN+QKgVWzZo/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bfWvX87Y9eS/xS7tfEu2ODGYLPIjwcq+SC3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\nIYQQYhiSAEAIIYQYhiQAEEIIIYah/wPpCU09yB8RnQAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "palantir.plot.plot_palantir_results(pr_res, layout)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "

MAGIC imputation

" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "MAGIC is an imputation technique developed in the Pe'er lab for single cell data imputation. Palantir uses MAGIC to impute the data for visualization and determining gene expression trends." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2018-07-27T04:32:34.501684Z", "start_time": "2018-07-27T04:32:29.426440Z" }, "collapsed": true, "deletable": true, "editable": true }, "outputs": [], "source": [ "imp_df = palantir.utils.run_magic_imputation(data_df, dm_res)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "

Visualizing gene expression

" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Gene expression can be visualized on force directed layouts using the Palantir `plot_gene_expression` function. The `genes` parameter is an string iterable of genes, which are a subset of the expression of column names. The below function plots the expression of EPI gene `FGF4` and PrE gene `GATA4`." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "ExecuteTime": { "end_time": "2018-07-27T04:32:35.644381Z", "start_time": "2018-07-27T04:32:34.504160Z" }, "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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/jkhpkmzzChZOXyyJ6klm+qdbSbRkJxz3M+qXPQdMw5hyIu55BMEH4vntxLbi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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "palantir.plot.plot_gene_expression(imp_df, layout, ['FGF4', 'GATA6'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Timepoint wise gene expression can be visualized using the corresponding Harmony `plot_tp_gene_expression` function" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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NyLnlkvTjM/yjdB+W2yT6VKm/tRKC70O9zGeCE0e4HvK2sp4J2ukvDfRzSLjRYzSdz9OO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jkUi86X/ti+ldk0gk1u7GPQrRVrq6Lruyjd1p80puikajzwL/xJRsvBCzwBYWecr3HI7HbBEF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I\niIiIfMZQTkRERETkM4ZyIiIiIiKfMZQTEREREfmMoZyIiIiIyGcM5UREREREPmMoJyIiIiLyGUM5\nEREREZHP/g/TYE4/P4lZAAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "harmony.plot.plot_tp_gene_expression(imp_df, layout, ['FGF4', 'GATA4', 'GATA6'], tp)" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "

Gene expression trends

" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "Gene expression trends along Palantir inferred pseudo-time can be plotted as below. Palantir uses Generalized Additive Models (GAMs) to determine the gene expression trends along different lineages. The marker trends can be determined using the following snippet. This computes the trends for all lineages. A subset of lineages can be used using the `lineages` parameter.\n" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2018-07-27T04:32:46.826578Z", "start_time": "2018-07-27T04:32:45.201031Z" }, "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "PrE\n", "Time for processing PrE: 0.008556771278381347 minutes\n", "EPI\n", "Time for processing EPI: 0.008600835005442302 minutes\n" ] } ], "source": [ "genes = ['GATA6', 'FGF4']\n", "gene_trends = palantir.presults.compute_gene_trends( pr_res, imp_df.loc[:, genes])" ] }, { "cell_type": "markdown", "metadata": { "deletable": true, "editable": true }, "source": [ "The determined trends can be visualized with the `plot_gene_trends` function. A separate panel is generated for each gene" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "ExecuteTime": { "end_time": "2018-07-27T04:32:47.418050Z", "start_time": "2018-07-27T04:32:46.830185Z" }, "collapsed": false, "deletable": true, "editable": true }, "outputs": [ { "data": { "image/png": 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SxauWrKVQKhBh13GMjCasWqC4/D40mpI+//H4z5cfl+NIUd0ZHK890uvRtWw1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\n6h7GtPXs675urmVzqqWTUy2dfBVYCwP81Xn85Tn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