{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Contacts vs distance" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Welcome to the cooltools expected & contacts-vs-distance notebook!\n", "\n", "In Hi-C maps, contact frequency decreases very strongly with **genomic separation** (also referred to as **genomic distance**). In the Hi-C field, this decay is often interchangeably referred to as the: \n", "\n", "* **expected** because one \"expects\" a certain average contact frequency at a given genomic separation\n", "* **scaling** which is borrowed from the polymer physics literature\n", "* **P(s) curve** contact *probability*, *P*, as a function of genomic *separation*, *s*. \n", "\n", "The rate of decay of contacts with genomic separation reflects the polymeric nature of chromosomes and can tell us about the global folding patterns of the genome. \n", "\n", "This decay has been observed to vary through the cell cycle, across cell types, and after degredation of structural maintenance of chromosomes complexes (SMCs) in both interphase and mitosis. \n", "\n", "The goals of this notebook are to:\n", "\n", "* calculate the P(s) of a given cooler\n", "* plot the P(s) curve\n", "* smooth the P(s) curve with logarithmic binning\n", "* plot the derivative of P(s)\n", "* plot the P(s) between two different genomic regions\n", "* plot the matrix of average contact frequencies between different chromosomes" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [ "remove_cell" ] }, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2 " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# import core packages\n", "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "from itertools import combinations\n", "import os\n", "\n", "# import semi-core packages\n", "import matplotlib.pyplot as plt\n", "from matplotlib import colors\n", "%matplotlib inline\n", "plt.style.use('seaborn-v0_8-poster')\n", "import numpy as np\n", "import pandas as pd\n", "from multiprocessing import Pool\n", "\n", "# import open2c libraries\n", "import bioframe\n", "\n", "import cooler\n", "import cooltools\n", "\n", "from packaging import version\n", "if version.parse(cooltools.__version__) < version.parse('0.5.2'):\n", " raise AssertionError(\"tutorial relies on cooltools version 0.5.2 or higher,\"+\n", " \"please check your cooltools version and update to the latest\")\n", "\n", "# count cpus\n", "num_cpus = os.getenv('SLURM_CPUS_PER_TASK')\n", "if not num_cpus:\n", " num_cpus = os.cpu_count()\n", "num_cpus = int(num_cpus)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "./data/test.mcool\n" ] } ], "source": [ "# download test data\n", "# this file is 145 Mb, and may take a few seconds to download\n", "cool_file = cooltools.download_data(\"HFF_MicroC\", cache=True, data_dir='./data/') \n", "print(cool_file)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# Load a Hi-C map at a 1kb resolution from a cooler file.\n", "resolution = 1000 # note this might be slightly slow on a laptop\n", " # and could be lowered to 10kb for increased speed\n", "clr = cooler.Cooler('data/test.mcool::/resolutions/'+str(resolution))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In addition to data stored in a cooler, the analyses below make use\n", "of where chromosomal arms start and stop to calculate contact frequency versus distance curves\n", "within arms. For commonly-used genomes, bioframe can be used to fetch these \n", "annotations directly from UCSC. For less commonly-used genomes, a table of arms, or chromosomes \n", "can be loaded in directly with pandas, e.g. \n", "\n", "`chromsizes = pd.read_csv('chrom.sizes', sep='\\t')`\n", "\n", "Regions for calculating expected should be provided as a [viewFrame](https://bioframe.readthedocs.io/en/latest/guide-intervalops.html#genomic-views), i.e. a dataframe with four columns, chrom, start, stop, name,\n", "where entries in the name column are unique and the intervals are non-overlapping. If the chromsizes table does not have a name column, it can be created with `bioframe.core.construction.add_ucsc_name_column(bioframe.make_viewframe(chromsizes))`." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " chrom start end name\n", "0 chr2 0 93900000 chr2_p\n", "1 chr2 93900000 242193529 chr2_q\n", "2 chr17 0 25100000 chr17_p\n", "3 chr17 25100000 83257441 chr17_q" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Use bioframe to fetch the genomic features from the UCSC.\n", "hg38_chromsizes = bioframe.fetch_chromsizes('hg38')\n", "hg38_cens = bioframe.fetch_centromeres('hg38')\n", "# create a view with chromosome arms using chromosome sizes and definition of centromeres\n", "hg38_arms = bioframe.make_chromarms(hg38_chromsizes, hg38_cens)\n", "\n", "# select only those chromosomes available in cooler\n", "hg38_arms = hg38_arms[hg38_arms.chrom.isin(clr.chromnames)].reset_index(drop=True)\n", "hg38_arms" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Calculate the P(s) curve" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To calculate the average contact frequency as a function of genomic separation, we use the fact that each diagonal of a Hi-C map records contacts between loci separated by the same genomic distance. For example, the 3rd diagonal of our matrix contains contacts between loci separated by 3-4kb (note that diagonals are 0-indexed). Thus, we calculate the average contact frequency, *P(s)*, at a given genomic distance, *s*, as the average value of all pixels of the corresponding diagonal. This operation is performed by `cooltools.expected_cis`.\n", "\n", "Note that we calculate the *P(s)* separately for each chromosomal **arm**, by providing `hg38_arms` as a `view_df`. This way we will ignore contacts accross the centromere, which is generally a good idea, since such contacts have a slightly different decay versus genomic separation." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:root:creating a Pool of 10 workers\n" ] } ], "source": [ "# cvd == contacts-vs-distance\n", "cvd = cooltools.expected_cis(\n", " clr=clr,\n", " view_df=hg38_arms,\n", " smooth=False,\n", " aggregate_smoothed=False,\n", " nproc=num_cpus #if you do not have multiple cores available, set to 1\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This function calculates average contact frequency for raw and normalized interactions ( `count.avg` and `balanced.avg`) for each diagonal and each regions in the `hg38_arms` of a Hi-C map. It aslo keeps the sum of raw and normalized interaction counts (`count.sum` and `balanced.sum`) as well as the number of valid (i.e. non-masked) pixels at each diagonal, `n_valid`." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " region1 region2 dist dist_bp contact_frequency n_total n_valid \\\n", "0 chr2_p chr2_p 0 0 NaN 93900 86055 \n", "1 chr2_p chr2_p 1 1000 NaN 93899 85282 \n", "2 chr2_p chr2_p 2 2000 0.098270 93898 84918 \n", "3 chr2_p chr2_p 3 3000 0.042805 93897 84649 \n", "\n", " count.sum balanced.sum count.avg balanced.avg \n", "0 NaN NaN NaN NaN \n", "1 NaN NaN NaN NaN \n", "2 10842540.0 8344.916674 115.471469 0.098270 \n", "3 4733321.0 3623.417357 50.409715 0.042805 " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
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" ], "text/plain": [ " region1 region2 dist dist_bp contact_frequency n_total \\\n", "325448 chr17_q chr17_q 58154 58154000 NaN 4 \n", "325449 chr17_q chr17_q 58155 58155000 NaN 3 \n", "325450 chr17_q chr17_q 58156 58156000 NaN 2 \n", "325451 chr17_q chr17_q 58157 58157000 NaN 1 \n", "\n", " n_valid count.sum balanced.sum count.avg balanced.avg \n", "325448 0 0.0 0.0 0.0 NaN \n", "325449 0 0.0 0.0 0.0 NaN \n", "325450 0 0.0 0.0 0.0 NaN \n", "325451 0 0.0 0.0 0.0 NaN " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(cvd.head(4))\n", "display(cvd.tail(4))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the data from the first couple of diagonals are masked. This is done intentionally, since interactions at these diagonals (very short-ranged) are contaminated by non-informative Hi-C byproducts - dangling ends and self-circles. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot the P(s) curve" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Time to plot *P(s)* !\n", "\n", "The first challenge is that Hi-C has a very wide dynamic range. Hi-C probes genomic separations ranging from 100s to 100,000,000s of basepairs and contact frequencies also tend to span many orders of magnitude.\n", "\n", "Plotting such data in the linear scale would reveal only a part of the whole picture. Instead, we typically switch to double logarithmic (aka log-log) plots, where the x and y coordinates vary by orders of magnitude." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With the flags used above, `expected_cis()` does not smooth or aggregate across regions. This can lead to noisy P(s) curves for each region:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, ax = plt.subplots(1,1)\n", "\n", "for region in hg38_arms['name']:\n", " ax.loglog(\n", " cvd['dist_bp'].loc[cvd['region1']==region],\n", " cvd['contact_frequency'].loc[cvd['region1']==region],\n", " )\n", " ax.set(\n", " xlabel='separation, bp',\n", " ylabel='IC contact frequency')\n", " ax.set_aspect(1.0)\n", " ax.grid(lw=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The non-smoothed curves plotted above form characteristic \"fans\" at longer separations. This happens for two reasons: (a) we plot values of **each** diagonal separately and thus each decade of s contains 10x more points, and (b) due to the polymer nature of chromosomes, contact frequency at large genomic separations are lower and thus more affected by sequencing depth.\n", "\n", "This issue is more that just cosmetic, as this noise would prevent us from doing finer analyses of *P(s)* and propagate into data derived from *P(s)*. However, there is a simple solution: we can smooth *P(s)* over multiple diagonals. This works because *P(s)* changes very gradually with *s*, so that consecutive diagonals have similar values. Furthermore, we can make each subsequent smoothing window wider than the previous one, so that each order of magnitude of genomic separation contains the same number of windows. Such aggregation is a little tricky to perform, so `cooltools.expected` implements this operation." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Smoothing & aggregating P(s) curves" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Instead of the flags above, we can pass flags to `expected_cis()` that return smoothed and aggregated columns for futher analysis (which are on by default).\n", "\n", "Note that the plots below use smooth_sigma=0.1, which is relatively conservative, and this parameter can be lowered (with discretion) for sufficiently high-resolution datasets." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:root:creating a Pool of 10 workers\n" ] } ], "source": [ "cvd_smooth_agg = cooltools.expected_cis(\n", " clr=clr,\n", " view_df=hg38_arms,\n", " smooth=True,\n", " aggregate_smoothed=True,\n", " smooth_sigma=0.1,\n", " nproc=num_cpus\n", ")" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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region1region2distdist_bpcontact_frequencyn_totaln_validcount.sumbalanced.sumcount.avgbalanced.avgbalanced.avg.smoothedbalanced.avg.smoothed.agg
0chr2_pchr2_p00NaN9390086055NaNNaNNaNNaNNaNNaN
1chr2_pchr2_p110000.0010609389985282NaNNaNNaNNaN0.0010430.001060
2chr2_pchr2_p220000.088615938988491810842540.08344.916674115.4714690.0982700.0872280.088615
3chr2_pchr2_p330000.04394793897846494733321.03623.41735750.4097150.0428050.0431160.043947
\n", "
" ], "text/plain": [ " region1 region2 dist dist_bp contact_frequency n_total n_valid \\\n", "0 chr2_p chr2_p 0 0 NaN 93900 86055 \n", "1 chr2_p chr2_p 1 1000 0.001060 93899 85282 \n", "2 chr2_p chr2_p 2 2000 0.088615 93898 84918 \n", "3 chr2_p chr2_p 3 3000 0.043947 93897 84649 \n", "\n", " count.sum balanced.sum count.avg balanced.avg balanced.avg.smoothed \\\n", "0 NaN NaN NaN NaN NaN \n", "1 NaN NaN NaN NaN 0.001043 \n", "2 10842540.0 8344.916674 115.471469 0.098270 0.087228 \n", "3 4733321.0 3623.417357 50.409715 0.042805 0.043116 \n", "\n", " balanced.avg.smoothed.agg \n", "0 NaN \n", "1 0.001060 \n", "2 0.088615 \n", "3 0.043947 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "display(cvd_smooth_agg.head(4))" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cvd_smooth_agg['balanced.avg.smoothed'].loc[cvd_smooth_agg['dist'] < 2] = np.nan\n", "\n", "f, ax = plt.subplots(1,1)\n", "\n", "for region in hg38_arms['name']:\n", " ax.loglog(\n", " cvd_smooth_agg['dist_bp'].loc[cvd_smooth_agg['region1']==region],\n", " cvd_smooth_agg['balanced.avg.smoothed'].loc[cvd_smooth_agg['region1']==region],\n", " )\n", " ax.set(\n", " xlabel='separation, bp', \n", " ylabel='IC contact frequency')\n", " ax.set_aspect(1.0)\n", " ax.grid(lw=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `balanced.avg.smoothed.agg` is averaged across regions, and shows the same exact curve for each." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cvd_smooth_agg['balanced.avg.smoothed.agg'].loc[cvd_smooth_agg['dist'] < 2] = np.nan\n", "f, ax = plt.subplots(1,1)\n", "\n", "for region in hg38_arms['name']:\n", " ax.loglog(\n", " cvd_smooth_agg['dist_bp'].loc[cvd_smooth_agg['region1']==region],\n", " cvd_smooth_agg['balanced.avg.smoothed.agg'].loc[cvd_smooth_agg['region1']==region],\n", " )\n", " ax.set(\n", " xlabel='separation, bp', \n", " ylabel='IC contact frequency')\n", " ax.set_aspect(1.0)\n", " ax.grid(lw=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Plot the smoothed P(s) curve and its derivative" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Logbin-smoothing of P(s) reduces the \"fanning\" at longer s and enables us to plot the derivative of the P(s) curve in the log-log space. This derivative is extremely informative, as it can be compared to predictions from various polymer models." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "# Just take a single value for each genomic separation\n", "cvd_merged = cvd_smooth_agg.drop_duplicates(subset=['dist'])[['dist_bp', 'balanced.avg.smoothed.agg']]" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "# Calculate derivative in log-log space\n", "der = np.gradient(np.log(cvd_merged['balanced.avg.smoothed.agg']),\n", " np.log(cvd_merged['dist_bp']))" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, axs = plt.subplots(\n", " figsize=(6.5,13),\n", " nrows=2, \n", " gridspec_kw={'height_ratios':[6,2]}, \n", " sharex=True)\n", "ax = axs[0]\n", "ax.loglog(\n", " cvd_merged['dist_bp'],\n", " cvd_merged['balanced.avg.smoothed.agg'],\n", " '-'\n", ")\n", "\n", "ax.set(\n", " ylabel='IC contact frequency',\n", " xlim=(1e3,1e8)\n", ")\n", "ax.set_aspect(1.0)\n", "ax.grid(lw=0.5)\n", "\n", "\n", "ax = axs[1]\n", "ax.semilogx(\n", " cvd_merged['dist_bp'],\n", " der,\n", " alpha=0.5\n", ")\n", "\n", "ax.set(\n", " xlabel='separation, bp', \n", " ylabel='slope')\n", "\n", "ax.grid(lw=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot the P(s) curve for interactions between different regions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we can plot P(s) curves for contacts between loci that belong to different regions. \n", "\n", "A commonly considered situation is for trans-arm interactions, i.e. contacts between loci on the opposite side of a centromere. Such P(s) can be calculated via `cooltools.expected_cis` by passing `intra_only=False`." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:root:creating a Pool of 10 workers\n" ] } ], "source": [ "# cvd_inter == contacts-vs-distance between chromosomal arms\n", "cvd_inter = cooltools.expected_cis(\n", " clr=clr,\n", " view_df=hg38_arms,\n", " intra_only=False,\n", " nproc=num_cpus\n", ")\n", "# select only inter-arm interactions:\n", "cvd_inter = cvd_inter[ cvd_inter[\"region1\"] != cvd_inter[\"region2\"] ].reset_index(drop=True)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cvd_inter['balanced.avg.smoothed.agg'].loc[cvd_inter['dist'] < 2] = np.nan\n", "f, ax = plt.subplots(1,1,\n", " figsize=(5,5),)\n", "\n", "ax.loglog(\n", " cvd_inter['dist_bp'],\n", " cvd_inter['balanced.avg.smoothed.agg'],\n", ")\n", "\n", "ax.set(\n", " xlabel='separation, bp', \n", " ylabel='IC contact frequency',\n", " title=\"average interactions between chromosomal arms\")\n", "ax.grid(lw=0.5)\n", "ax.set_aspect(1.0)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Averaging interaction frequencies in blocks" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For *trans* (i.e. inter-chromosomal) interactions, the notion of \"genomic separation\" becomes irrelevant, as loci on different chromosomes are not connected by any polymer chain. Thus, the \"expected\" level of trans interactions is a scalar, the average interaction frequency for a given pair of chromosomes.\n", "\n", "\n", "Note that this sample dataset only includes two chromosomes-- the heatmap of pairwise average contact frequencies can appear much more interesting for a greater number of chromosomes." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:root:creating a Pool of 10 workers\n" ] }, { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
region1region2n_validcount.sumbalanced.sumcount.avgbalanced.avg
0chr2chr17166042236141307071.01021.7286710.0000796.153426e-08
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" ], "text/plain": [ " region1 region2 n_valid count.sum balanced.sum count.avg \\\n", "0 chr2 chr17 16604223614 1307071.0 1021.728671 0.000079 \n", "\n", " balanced.avg \n", "0 6.153426e-08 " ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# average contacts, in this case between pairs of chromosomal arms:\n", "ac = cooltools.expected_trans(\n", " clr,\n", " view_df = None, # full chromosomes as the view\n", " nproc=num_cpus\n", ")\n", "\n", "# average raw interaction counts and normalized contact frequencies are already in the result\n", "ac" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "# pivot a table to generate a pair-wise average interaction heatmap:\n", "acp = (ac \n", " .pivot_table(values=\"balanced.avg\",\n", " index=\"region1\",\n", " columns=\"region2\",\n", " observed=True) \n", " .reindex(index=clr.chromnames,\n", " columns=clr.chromnames)\n", ")" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fs = 14\n", "\n", "f, axs = plt.subplots(\n", " figsize=(6.0,5.5),\n", " ncols=2,\n", " gridspec_kw={'width_ratios':[20,1],\"wspace\":0.1},\n", ")\n", "# assign heatmap and colobar axis:\n", "ax, cax = axs\n", "# draw a heatmap, using log-scale for interaction freq-s:\n", "acpm = ax.imshow(\n", " acp,\n", " cmap=\"YlOrRd\",\n", " norm=colors.LogNorm(),\n", " aspect=1.0\n", ")\n", "# assign ticks and labels (ordered names of chromosome arms):\n", "ax.set(\n", " xticks=range(len(clr.chromnames)),\n", " yticks=range(len(clr.chromnames)),\n", " title=\"average interactions\\nbetween chromosomes\",\n", ")\n", "ax.set_xticklabels(\n", " clr.chromnames,\n", " rotation=30,\n", " horizontalalignment='right',\n", " fontsize=fs\n", ")\n", "ax.set_yticklabels(\n", " clr.chromnames,\n", " fontsize=fs\n", ")\n", "# draw a colorbar of interaction frequencies for the heatmap:\n", "f.colorbar(\n", " acpm,\n", " cax=cax,\n", " label='IC contact frequency'\n", ")\n", "\n", "# draw a grid around values:\n", "ax.set_xticks(\n", " [x-0.5 for x in range(1,len(clr.chromnames))],\n", " minor=True\n", ")\n", "ax.set_yticks(\n", " [y-0.5 for y in range(1,len(clr.chromnames))],\n", " minor=True\n", ")\n", "ax.grid(which=\"minor\")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Impact of sequencing depth on computed P(s)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We explore the influence of sequencing coverage on calculating P(s) curves using cooltools.sample() to generate downsampled coolers from the Kreitenstein microC test dataset. We then compute raw P(s) and smoothed P(s) at various levels of downsampling, for the q arm of chr2.\n", "\n", "Raw P(s) appear very noisy even with 0.1% downsampling. Smoothed P(s) are fairly consistent down to 0.01% downsampling. Derivatives, however, are less reliable at 0.01% downsampling." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:root:creating a Pool of 10 workers\n", "INFO:root:creating a Pool of 10 workers\n" ] } ], "source": [ "# create downsampled test data \n", "downsampling_fracs = [0.0001, 0.001]\n", "num_reads = {}\n", "cvds = {}\n", "cvds_smoothed = {}\n", "derivs_smoothed = {}\n", "\n", "p = Pool(num_cpus)\n", "for frac in downsampling_fracs:\n", " cooltools.sample(clr, out_clr_path=f'./data/test_sampled_{frac}_.cool', frac=frac, nproc=num_cpus)\n", "\n", " clr_downsampled = cooler.Cooler(f'./data/test_sampled_{frac}_.cool')\n", " result = cooler.balance_cooler(clr_downsampled, map=p.map, store=True, min_nnz=0)\n", "p.close()\n", "p.terminate()" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:root:creating a Pool of 10 workers\n" ] } ], "source": [ "# expected & derivative calculation for raw data, using only the second arm of chr2\n", "cvd_smooth_agg_raw = cooltools.expected_cis(\n", " clr=clr,\n", " view_df=hg38_arms[1:2],\n", " clr_weight_name=None,\n", " smooth=True,\n", " aggregate_smoothed=True,\n", " nproc=num_cpus\n", ")\n", "\n", "cvd_smooth_agg_raw['count.avg.smoothed'].loc[cvd_smooth_agg_raw['dist'] < 2] = np.nan\n", "cvd_merged = cvd_smooth_agg_raw.drop_duplicates(subset=['dist'])[['dist_bp', 'count.avg.smoothed.agg']]\n", "der = np.gradient(np.log(cvd_merged['count.avg.smoothed.agg']),\n", " np.log(cvd_merged['dist_bp'])) \n", "deriv_smoothed_raw = der\n", "\n", "\n", "cvds[1.0] = cvd_smooth_agg_raw.copy()\n", "cvds_smoothed[1.0]= cvd_smooth_agg_raw.copy()\n", "num_reads[1.0] = cvd_smooth_agg_raw['count.sum'].sum().astype(int)\n", "derivs_smoothed[1.0] = deriv_smoothed_raw\n" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:root:creating a Pool of 10 workers\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "INFO:root:creating a Pool of 10 workers\n" ] } ], "source": [ "# expected calculation for the downsampled data\n", "for frac in downsampling_fracs:\n", " clr_downsampled = cooler.Cooler(f'./data/test_sampled_{frac}_.cool')\n", " \n", " cvd_downsampled = cooltools.expected_cis(\n", " clr=clr_downsampled,\n", " view_df=hg38_arms[1:2],\n", " clr_weight_name=None,\n", " smooth=False,\n", " aggregate_smoothed=False,\n", " nproc=num_cpus #if you do not have multiple cores available, set to 1\n", " )\n", " cvds[frac] = cvd_downsampled\n", " num_reads[frac] = cvd_downsampled['count.sum'].sum().astype(int) " ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, ax = plt.subplots(1,1, figsize=(8, 8))\n", "\n", "region = hg38_arms['name'][0]\n", "for frac in [1]+downsampling_fracs:\n", " cvd_downsampled = cvds[frac]\n", " ax.loglog(\n", " cvd_downsampled['dist_bp'],\n", " cvd_downsampled['count.avg'],\n", " label=f'{frac*100}%, {num_reads[frac]} reads',\n", " )\n", "\n", "ax.set(\n", " xlabel='separation, bp', \n", " ylabel='contact frequency')\n", "ax.grid(lw=0.5)\n", "ax.legend() \n", "ax.title.set_text(region)\n", "ax.set_ylim(ymin=10**(-8))\n", "f.show()" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "INFO:root:creating a Pool of 10 workers\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "INFO:root:creating a Pool of 10 workers\n" ] } ], "source": [ "# expected calculation for the smoothed data\n", "for frac in downsampling_fracs:\n", " clr_downsampled = cooler.Cooler(f'./data/test_sampled_{frac}_.cool')\n", " cvd_smooth_agg_downsampled = cooltools.expected_cis(\n", " clr=clr_downsampled,\n", " view_df=hg38_arms[1:2],\n", " clr_weight_name=None,\n", " smooth=True,\n", " aggregate_smoothed=True,\n", " nproc=num_cpus\n", " )\n", " cvd_smooth_agg_downsampled['count.avg.smoothed'].loc[cvd_smooth_agg_downsampled['dist'] < 2] = np.nan\n", " cvds_smoothed[frac] = cvd_smooth_agg_downsampled\n", "\n", " cvd_merged = cvd_smooth_agg_downsampled.drop_duplicates(subset=['dist'])[['dist_bp', 'count.avg.smoothed.agg']]\n", " der = np.gradient(np.log(cvd_merged['count.avg.smoothed.agg']),\n", " np.log(cvd_merged['dist_bp'])) \n", " derivs_smoothed[frac] = der\n", " \n" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, ax = plt.subplots(1,1,figsize=(8, 8))\n", "\n", "for frac in [1]+downsampling_fracs:\n", " cvd_smooth_agg_downsampled = cvds_smoothed[frac]\n", " cvd_smooth_agg_downsampled['count.avg.smoothed'].loc[cvd_smooth_agg_downsampled['dist'] < 2] = np.nan\n", " ax.loglog(\n", " cvd_smooth_agg_downsampled['dist_bp'],\n", " cvd_smooth_agg_downsampled['count.avg.smoothed'],\n", " label=f'{frac*100}%, {num_reads[frac]} reads')\n", " \n", "ax.set(\n", " xlabel='separation, bp', \n", " ylabel='contact frequency')\n", "ax.grid(lw=0.5)\n", "ax.title.set_text(region)\n", "ax.legend()\n", "ax.set_ylim(ymin=10**(-8))\n", "f.show()" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "data": { "image/png": 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TJw9Lly5FrVYzYMAAqlWrxpdffkmxYsVYsWIFzs7OrF69GpVK9aGeohBCCCGEAFaefsi1p8r8bH93qyCfzYQQQuhlyeAIwMyZM1m3bh3Vq1fn1KlT7N69GxcXF6ZOncrhw4extLRMVn8dO3bE09OT9u3bc+/ePbZs2UJ0dDSDBw/m4sWL+rwkQgghhBDiw5lnZDnNlkE1MNeoP8JohBBCfKqy3G41cXXq1IlOnTolqW3v3r3p3bt3om0qVqzIpk2b0mBkQgghhBAitVZ5PsT3dZhBWcX82Sjvmu0jjUgIIcSnKsvOHBFCCCGEEJlXeFQ0/7dDmWtkXnfZPVAIIYSSBEeEEEIIIUSm43E3gPCoGIOyRiVzktPW4iONSAghxKdMgiNCCCGEECJTCY2IovcSL0X5/7Up8xFGI4QQIiOQ4IgQQgghhMhUrvgqd6dp/Vke8jgkL+G+EEKIrCNLJ2QVQgghhBCZS0yMlvHbryrKu1V11X99+9Vtdt3bRUhkCNkssjGo3KAPOUQhhBCfIAmOCCGEEEKITMPjXgDXnxrOHGn9WR6qFspOVEwU406OY+e9nfq6fLb5JDgihBBCgiNCCCGEECLzuPvijaKsUoFsREZH0nprax6/eWxQFxIZ8qGGJoQQ4hMmOUeEEEIIIUSmEBoRxf+2KZfUfFEhL3329VEERgBevn35IYYmhBDiEyfBESGEEEIIkSms93qkKPu1XRnW3V7BxRcXjR4zu8Hs9B6WEEKIDECW1QghhBBCiEzhvr9yiUyo+iqzzv6lKC+TvQwrm69EbaL+EEMTQgjxiZPgiBBCCCGEyPAiomJY5vHQoKxkbmtmXR2qaFvYvjCrW6xGpVJ9qOEJIYT4xMmyGiGEEEIIkeHNdb+jKMtVZLPRtutarZPAiBBCCAMSHBFCCCGEEBneeZ/XBo9Vmld4+x9RtFvfcj3mavMPNCohhBAZhQRHhBBCCCFEhvciODzOo2hsikxXtOldujcls5f8cIMSQgiRYUhwRAghhBBCZGi7Lz/l2tMg/WMTy8egilK0G15h+AcclRBCiIxEgiNCCCGEECJDM8g3ogrHusA8RZuptafKzjRCCCESJMERIYQQQgiRocVdUqOxuamoL+lYkhaFWnzIIQkhhMhgJDgihBBCCCEyrKjoGJ4HvQuOmGU/pmgzoOyADzkkIYQQGZAER4QQQgghRIY1ZvNl/dcam6uoLR8b1Jd0LElD14YfelhCCCEyGAmOCCGEEEKIDCkyOoatF3z1j9VW9xRt+pftj0ql+pDDEkIIkQFJcEQIIYQQQmRIbyOjiYzW6h6oIjDLflLRpkaeGh94VEIIITIiCY4IIYQQQogMKSwiWv+1mdNhRf3CxguxNrX+kEMSQgiRQUlwRAghhBBCZDharZae/57RP1Zb+CrauNi4fMghCSGEyMAkOCKEEEIIITKcRy/DuPEs+L9H0WhsbhvU18pbi3x2+T78wIQQQmRIEhwRQgghhBAZzqvQCP3X5s67FPW/1PjlQw5HCCFEBifBESGEEEIIkeFERMfov9bY3DCoU6HCxtTmQw9JCCFEBibBESGEEEIIkaFotVqm7okTEDGJMKhvXbg1VqZWH3hUQgghMjIJjgghhBBCiAzl4uNAzj58BYDa+hYmmjcG9bKkRgghRHJpPvYAhBBCCJGFRb6FsJdgogELe9CYf+wRiQzggX/If19psci90aDO3twetYn6ww9KCCFEhibBESGEEEJ8eDHRsGcUeC0yLK85HBrLXX+ROH2+EVUkJqZBBnX5bfN/hBEJIYTI6LLksprg4GB++uknihcvjqWlJU5OTrRo0YLDhw+nqL969eqhUqkS/JcrV640fgZCCCFEBrehtzIwAnByBqzuDFrthx6RyECevA7TfaGKUtT9XO3nDzwaIYQQmUGWmzni5+dH7dq1uXXrFrlz56ZVq1Y8f/6cPXv2sGfPHmbOnMnQoUNT1Pfnn39uNBBib2+f2mELIYQQmcedg3B9e8L1t/bCvSNQuMGHG5PIMB74hzDj4G0AzLJ5GNSVzl6aUtlLfYxhCSGEyOCyXHBkwIAB3Lp1i4YNG7J9+3asrHSZzHfv3k3r1q0ZPnw4devWpWzZssnue/To0dSrVy+NRyyEEEJkIiH+sPKL97db0Q6+vwm2MvtSGNp39ZnuC5NQzHMeMKgzU5t9hBEJIYTIDLJUcOTatWts27YNtVrNP//8ow+MADRv3pzevXvzzz//MGXKFNasWfMRRyqEEEJkUj4e728T6/Z+qNAz/cYiMqSgt5EAmJi9UtS52rp+6OGku/DwcIKCgggPD//YQxFCiAzFzs4OW1tbVCpVktpnqeDIli1bAKhZsyb58yuTdXXt2pV//vmHHTt2EBkZiamp6YceohBCCJF5RYTCuu7K8v6HdTlGFjc0LN85Aj7rCuos9XFFvEdk9H/5aIzkGxlSfsgHHk36CgoKIjg4GEdHR5ycnJL8AV8IIbK6mJgYAgMDef78eZJzgGapTxvnz58HoFKlSkbrY8tDQkK4ffs2pUolb83qli1b2Lp1K2FhYTg7O1OjRg2aNGmCiUna5r19/PixwePg4OA07V8IIYRIF1c2KcuqDIC8FXVfV+wDZ5e8q4uJgvMroFKfDzM+kSEcuPYcALXFE4Py5gWbk8s68yzDCg8PJzg4mDx58khQRAghksnExIRs2bLx4sULQkJCsLa2fu8xWSo4cv/+fQBcXY1PubSzs8POzo6goCDu37+f7ODIrFmzFGXFihVj5cqVVK5cOfkDTkC+fPnSrC8hhBDig3n1QFlWOM5skdJtDYMjAM8up+eIRAZz8nE49/1DUKmDsci1zaAus+UbCQoKwtHRUQIjQgiRCvb29rx69UqCI/HFzrBI7IWxsbEhKCiIoKCgJPdbu3ZtunfvTp06dXBxceHVq1d4eXkxduxYrl69SqNGjTh9+jQlS5ZM9XNIjLe3d5LedPFpePXqFZ6enh97GCKNyPuZucj7mQ5ioql6/A+DojCrvFx6ZQ//vdaqGFPKm9phGvnub3DkxfWcc+oEKbxAlPcyc/F4+AYAtdUDRV1IQMgn/V6HhIQkq314eDhOTk7pNBohhMgazMzMiIyMTFLbDBMc+fHHH9m+PZFt/xKwePFiatWqlQ4jemfixIkGj62srMibNy/NmjWjdu3aeHl5MWbMGLZu3Zom53v06JHB4+DgYEqVKkWlSpWws7NLk3OI9Ofp6UnVqlU/9jBEGpH3M3OR9zMdePytKLJs/QdVS1Q3LMy7Af79XP/QNDKYquorULlfik4r72Umc/oAEAEmEYqqvjX7Ujp76Q8/piRKzo23WDJrRAghPpwMExx58uQJN2/eTPZxb9680X9ta2sLJB65j22fFkEGc3Nzfv75Z9q2bcvevXvTLMmri4uLweOU/LEVQgghPqjH3soyu9zKMstsyrIbu1McHBGZS1SMLhmrShVtUN6+aPtPOjAihBDi05e2mULT0cqVK9Fqtcn+17RpU30fBQoUAMDHx8foOeIup4ltm1qxS2nCw8Px9/dPkz6FEEKIDCfqreFjB1fI9ZmynVMxsM5pWBYZmn7jEhlGTIyW888jAS2mjscN6lxsXIwfJIQQQiRRhgmOpIUKFSoAutwcxsSWW1tbU6xYsTQ5Z0BAgP7r2JkrQgghRJYS4g83dxuWdVkHxnZzU6mg7z7DMh8PiHyrbCuylNmH7wCgtrmO2vyFQZ2pSepn5gohhMjaslRwpG3btgCcPHnS6OyR1atXA9CqVas0Wf4CsHbtWkA3g8TGxiZN+hRCCCEylH0/Kcs05gm3N7a0Zs8PaTcekSEdvB67ha+voi6HVY4PPRwhhBCZTJYKjpQuXZo2bdoQHR1N3759CQsL09ft2bOHpUuXYmJiwpgxYxTH9uzZkxIlSjBnzhyD8iNHjuDu7o5WqzUoj4iIYOrUqcyePRuA77//Ph2ekRBCCJEBPL+qLLNxTri9qTXE35b1zqG0HZPIcEIjonRfxMs3AlAvX70POxjxSbh58yazZ8+md+/euLm5odFoUKlUTJo0KUnHHzx4kObNm+Pk5ISlpSUlSpTg559/NshZaMydO3fo3bs3Li4umJub4+LiQu/evbl3716Cx6xevZrSpUtjbm6Oq6srEyZMIDpa+b0MuvyIBQoUoEyZMkREKJMPpwUfHx+GDBlC8eLFsbS0xMLCgoIFC9KrVy8uXrxo9Jg9e/bQr18/KlWqRO7cuTE3N8fW1pZy5crx008/JZhC4NSpUwwaNIjq1auTN29eLCwssLa2plSpUgwdOpQHDx4YPa5evXqoVKr3/vvqq68Ux2q1WlatWkWjRo1wcnLC1NQUBwcHatasyaxZsxJ8Xd93ri+//DLB1/T69ev07t2bfPnyYWZmhrOzM+3bt+fUqVNG2z948CBJz0+lUnHs2LEEz5vR9e7dG5VKxdKlSz/2UDJOQta0snDhQq5du8bBgwcpXLgwtWvXxs/Pj6NHj6LVapk5cyZly5ZVHOfj48PNmzcVP/QXL15kxIgRODs7U65cObJnz86LFy+4dOkSz5/r7nCMHDmSvn37fpDnJ4QQQnxyosINH9f7CcwTmU2pMYOKveHMwndlkncky4uMjk3GGmVQ/nud37E2tf4YQxIf2bx585g5c2aKjv3rr7/47rvvUKlU1K5dG2dnZ44fP87kyZPZtGkTJ06cMLqV8smTJ2nSpAmhoaGULl2aWrVqceXKFZYtW8bGjRs5ePAg1apVMzhm586ddOvWjWzZstGiRQsuXLjAL7/8QkBAgP5Galxjx47Fx8eHEydOYGZmpqhPLU9PTxo3bkxwcDB58+alSZMmqNVqLly4wPLly1m9ejWrV6+mY8eOBsetWrWKVatWUaRIEcqUKUOOHDkICAjgzJkzTJkyhX/++YfDhw9TurRhcuTdu3czb948XF1dKV68OM7OzgQGBnLu3DnmzJnDkiVL2LlzJ/Xq1TM4rmnTpgnmgYyIiGDNmjUA1K9fX1HfpUsX1q1bh4mJCTVq1CBv3rw8f/6ckydPcurUKdasWcPhw4extLQ02n+vXr2Mlie0+9nOnTvp1KkTYWFhFCxYkFatWvH48WO2bt3Ktm3bWLhwoeJ60MbGJsHzAFy7dg0vLy9sbW2pWLFigu1EGtJmQYGBgdrRo0drixYtqjU3N9c6OjpqmzZtqj148GCCx9StW1cLaMePH29Qfu7cOe3AgQO1VapU0ebOnVtrbm6utbS01BYuXFjbs2dP7cmTJ9P52eieD6ANDAxM93OJtHP69OmPPQSRhuT9zFzk/UxD0dFa7Xg7w39REck/boJDik4v72XmEBMTo80/aqc2/6gd2lKLq2jLLC2j/3fwQcKf3z4lyf289ujRo3QeUca3aNEi7ciRI7WrVq3SXr9+XdujRw8toJ04cWKix507d06rUqm0arVau3v3bn15SEiItmHDhlpA+8UXXyiOCwkJ0ebJk0cLaMeMGWNQN2bMGC2gzZcvnzY0NNSgrly5clozMzPtzZs3tVqtVvvmzRttiRIltGq1Wvv06VODtl5eXlq1Wq0dNGhQsl6L5ChbtqwW0A4YMEAbEfHu93F0dLR27NixWkDr4OCgDQsLMzju/PnzivFqtVptcHCwtmPHjlpAW61aNUX9tWvXtPfv31eUh4eHa4cNG6YFtC4uLtqoqKgkP4d169ZpAa29vb3i9d68ebO+7sKFCwZ1d+/e1ebNm1cLaKdMmaLoF9Am9xL52bNnWltbWy2gHTFihMHz2LNnj9bc3Fyr0Wi0165dS1a/zZo10wLa/v37J+u4jKZXr15aQLtkyZJ0O0dSf59myeBIZiPBkYxJPrBnLvJ+Zi7yfqahvT/FC47Ya7UxMQk2D4kI0UbEBk9+K2R4rMe8ZJ9e3svMYfKua9r8o3ZqC0+eYBAYKbO0jNbdx/1jDy9JJDiS/mIvst4XHIm9kO/Xr5+i7sGDB1oTExMtoL1+/bpB3d9//60FtMWKFdNGR0cb1EVHR2uLFSumBbTz58/Xl4eHh2vVarW2cePGBu0nTZqkBbTbtm3Tl0VFRWnLly+vzZs3b7p9rvf399cHAPz8/BT1UVFRWktLSy2gPXfuXJL79fHx0febnLFHRERoLSwstID20qVLST6uSZMmWkD7zTffKOqGDBmiBRIMMP36669aQNu6dWtFXUqCI5MnT9YC2iJFimgjIyMV9SNGjNAC2u7duye5z8ePH+u/DzP737FPKTiSpXKOCCGEEOIDu7DK8LGZjW5HGuCBfwizD9/kh93LcFvmRrnlFai6uioVVlag/PLyuDlbscfaCv2q/EP/B9GRH3T44tOw1usRABrr24o6e3P7Dz0ckYFFRESwa9cuALp27aqoz58/PzVr1gRgy5YtBnWxj7/88ktM4u22ZWJiQufOnQHYvHmzvvz169dER0fj6Oho0D579uwABvlN/vrrL86fP8+cOXOws7NL0fN7H3PzRJJhx2NsWVFCNBpdtgYTE5NkbWyhUqn0r2VSx/bo0SMOHjwIYDR1gYWFRZL6Sc7zS4yXlxcAdevW1b8OcTVq1AiAbdu2ERUVpag3ZunSpcTExFC6dOkEl/IkJDZXi7u7O8ePH6dVq1bkyJEDExMTg7weYWFhTJ8+nWrVquHg4ICFhQXFixfnxx9/NNhxNVZkZCQrV66kW7dulChRAjs7OywtLSlevDjffvstT548SXBML1++ZPjw4eTPn1+fd2fIkCG8fPkywWPCw8P5/fffqVixIra2tpiZmZErVy4qV67Mjz/+mOixKZXlco4IIYQQ4gN6G2j4uEQLjt16Qc9/z2Bi5od14T/1VdHad4GPKK3uA+SPOZ34EVjt+wy3iBAIDwYrw4sMkfkFvf3ve8NEGRwr7VRaUZbZVZ18kJBw48k8MwJrczWePzX6KOe+desWoaG6HEaVKlUy2qZSpUocP36c8+fPG5THPk7suLjtAHLmzImVlRXXr183aBv7OG/evIAuOef48eNp166dfofN9GBjY0Pt2rU5fvw4Y8eOZc6cOfpgRkxMDBMmTCAsLIxmzZqRL1++JPUZHh7OTz/pdiVr3Lhxgnk84ouOjuaXX34hNDSUUqVKUaRIkSQdFxs4KFu2rNH3olmzZvzxxx+sXr2aAQMG8Nlnn+nr7t27x7x581CpVPTv3z/Bc/z555/cuXMHlUqFq6srjRs3pkKFCkbbxga4YgNe8cUGYYKDg7l16xalSpVK0nME48GfpNqwYQPz58+nRIkSNGrUiJcvX+oDUE+ePKFp06ZcvnwZR0dHKleujK2tLefOneP3339nw4YNuLu7kz9/fn1/z58/p0ePHtjb21OyZEnKli1LSEgIFy5cYPbs2axdu5ZTp04p3sfnz59Tu3Ztbt++TbZs2WjZsiUxMTGsWrWKvXv3KnLUgO57sUWLFhw6dAg7Oztq166Ng4MDL1684Pbt2/z+++907dpVEXRMLQmOCCGEECJ9xESDNsagaFBwL3b/ewa11R2s8i9Ocldd8+ZinP9LOkWnz84N4tMVHaMldlNAFYbfT6uar8LUJOl3qTOLkPBo3oQn7Q60MHT//n0AHBwcsLW1NdomNigQ2xZ0F7axd9NdXV0TPe7FixeEhIRgba1LFNy6dWvWrl3Ln3/+Sb9+/Th9+jRLliwhZ86c+uStAwcORKPRKHbGTA+LFi2iefPmLFy4kF27dlGpUiXUajXnz5/H19eXHj16JDqOc+fOMWvWLLRaLS9evMDLywt/f38qV67MP//8k+BxPj4+/O9//wN0MwnOnz/P48ePKVKkCOvXr1fMxjFGq9W+N3DQoEEDfv75Z3799VcqVKhAzZo19QlZT5w4Qb58+di2bZsicW5c8XcaHT16NE2bNmXp0qU4OxvutpYzZ06ABHcrilt+//799wZHjh49yp07dzAzM6NHjx6Jtk3M3Llz+fvvvxk0aJBBuVarpVOnTly+fJm+ffvy119/6X8WoqKiGD16NNOnT6dPnz4cPnxYf5y9vT3btm2jadOmBomCIyMjGT9+PFOmTGHYsGH6mVmxhgwZwu3bt6lduzY7duzA3l432+/ly5c0b96c7du3K8Z+4sQJDh06RPny5Tl69KjiZ9Xb2zvJwbvkkGU1QgghhEgfQYZTbH3Ixe7rrzCx8ElWYCTWRCdH5lxJ+IO3yJwio+MEROLtVGOlsfrAoxEZXXBwMIA+cGGMjY1uN62goCDFcYkdG3tc/GOnTJmCs7Mz33//Pfb29nz++ee8ffuWRYsWYW5uzpo1a9i7dy9Tp04lT548+uPevn2b4Ha/qVG8eHE8PDxo0qQJvr6+bNu2jc2bN3P//n2KFClCvXr1El3W4+Pjw7Jly1i+fDl79uzB39+fRo0asXbtWv1MGGNevnzJsmXLWLZsGTt27ODx48dUqFCBjRs3Gp09YIy7uzv37t3D3Nyc7t27J9hu0qRJrFy5EisrK44fP87atWs5cuQIWq2WRo0aJXi+rl27snXrVh48eEBYWBi3bt1izpw5ZM+enb1799K4cWPevn1rcEyDBg0A2LVrl9GlJQsWLNB/Hff7IiH//vsvoAuqpWbpT4MGDRSBEYB9+/Zx8uRJypUrx/z58w0CDxqNhmnTplGmTBmOHDnClStX9HW2tra0bt1asYOSqakpkydPJk+ePOzdu9fgZ+XRo0ds3rwZlUrF/Pnz9YERAEdHR+bPn2907LG7vtauXdtoELNSpUoJztRJDQmOCCGEECLtabWwpLlB0dsYNSp1MNYF5xo9JCKgJsHXfyX4+mTCXxifcr/g1lrmnv87zYcrPl2zD+vyjJhYPkRjc8egTmOSNSdBW5ursTHXZNh/1ubqj/0SflAFChTgypUr/Pbbb/Tv35+xY8dy6dIlWrduzatXrxg+fDg1a9bkm2++AWDdunUUL14cS0tLLC0tadGihcEsltQ6efIkbm5uXLlyhdWrV/Ps2TNevnzJjh07iIyMpG/fvoku52jbti1arZaoqCgePHjA4sWLuX79OmXKlGHjxo0JHleuXDm0Wi0xMTE8fvyY9evXExoaSsWKFZk1a1aSxh47M6VNmzYJLqmIjIzkq6++onv37rRt25bLly8TEhLCrVu3GDJkCIsWLaJy5cpcuHBBceyqVato06YN+fPnx8LCgqJFizJ48GC8vLywt7fn8uXLigv6rl27UrRoUcLCwmjSpAnu7u68efOGGzdu0LNnT9zd3Q1ysiQmKChI/xp+9dVXSXpNEtKhQwej5bEzO7744gujOVJMTEyoU6cOAKdOnVLUX7x4kT///JOhQ4fy1Vdf0bt3b3r37k1UVBQxMTHcufPu9/SxY8eIiYmhQoUKRmfMlCtXjrJlyyrKK1SogFqt5t9//+Xvv//m6dOnSXvSqZQ1/6IIIYQQIn0F+UKgj0HRUxMrbAr/arT56uarKWJfipL/2wtAhH8jIl9XwqboVEXbeZfm42qfn5aFWqb9uMUnJfhtJH8fuQuAudNBRX1WDY58rHwdmUHsXeiQkJAE28TmkIg7eyLu3euEjo2bXDX+zAsnJyd+/PFHxTEjR47k9evXLFy4EJVKxbZt2/jyyy+pVasWU6ZM4enTp/z888/Ur1+fK1euGMxOSYnXr1/Trl07/P398fDwMEj22bJlS0qVKoWbmxv//vsv3bt3p379+gn2pVaryZ8/P3379qVhw4aULl2aPn36UKtWLXLlypXgcSqVirx589KxY0caN25M6dKlGTFiBHXr1jXIDxJfYGCgPtltYsGbadOmsWTJEpo3b86KFSv05UWLFuWvv/4iLCyMBQsWMGzYMI4ePZpgP3EVLFiQPn36MGPGDHbs2MHw4cP1dRYWFuzevZs2bdpw9epVg9dMo9Ewffp0pkyZgr+//3tzZKxdu5bQ0FBcXFz4/PPPkzS2hBQoUMBoeewyn3HjxjFu3LhE+3jx4oX+65CQEHr06KFIVBxf3Nkxjx8/BnSvX0IKFizIpUuXDMoKFy7MX3/9xQ8//MCQIUMYMmQI+fPnp3r16rRs2ZKOHTsqZrCkBZk5IoQQQoi0FxGqKJqc3fiHwrUt1+KWww1LMzUPprZgeKOiAGijHOh0x3jiwzHHx3At4FrajVd8kvzfvMsxo9IYTkdXq9Tksk74AkwIY2IvGF+/fm0w/T+uR48eGbQFXXAk9sLWx8fH2GH645ycnBJdthPr6NGjLFmyhNGjR+vvqk+dOhVra2u2b99O+/btGTx4MFOnTuXhw4esXr06Sc8xMbt27eLFixcUKlTI6C4occtjd4RJigIFClC/fn3evHnDgQMHknycg4MD7dq1IyYmxmjuibjWrFlDWFgYrq6u+h1gjInNSdKlSxej9bG7FJ04cYLw8PAkj7VkyZLAuwv+uIoUKcLFixfZvHkzI0eOpH///kycOJHLly8zcOBAXr16BYCbm1ui54hdUtO7d+8k5WBJTEKJcWNidEsVa9WqRa9evRL9F3f50ZgxY9iyZQslSpRg69at+Pr6Eh4ejlarRavVUr16dUCX0yQtDB06lIcPH7Jw4UJ69uyJWq1m7dq1dO/enVKlSqXLbJKsGW4XQgghRPqKlzh1i6UTT+yUH2Sm1p5K6eyGa7+HNypGdhtzxm29wpLI9ng93Eq9/C6KYzvv7MzBDgdxtnZW1InMIW6+EZXKMPfCvEbzsuzMEZFyxYsXx8rKitDQULy9vY3OjPD29gZQ7E5SoUIFDh48iLe3N61atUryccaEh4fz9ddfU7x4cf1OLwAXLlygTJkyZMuWTV9Wq1YtfV1qxQZ2EsspEjdhZnLEBoT8/PzS5bjYwEGfPn0SDRy87znGPr+YmBhev36tSLCakNiEvAkl8tVoNLRr14527doZlB86dIjo6GjKlCmT6Iyaa9eu4enpiUqlok+fPkkaU0rEJjJt06YNI0eOTPJx69evB3TLvowthbl9W7nVetzdmBKSWJ2zszP9+/fX7yx048YNvvrqKzw8PBg9ejTLli1L8viTIk1mjrx584YZM2bQvHlzypQpQ+HChQ3qg4KCWL16NWvWrEmL0wkhhBDiUxfqr/8yAvhfLmXizMb5G9OiUAujh/eolp8fPi9ODCYciKjDQR9fo+167umZZnepEvXGDzb0gQn28GcpmFkOfi8CG3pD8LP0P38WZZiM1XCnmkrOxmcVCZEYMzMzWrTQ/d4xNhPj4cOH+jwL8S9yYx+vXbtWf/c9VkxMDOvWrQOgffv27x3Hr7/+yq1bt1iwYIF+e1XQLTmJv2wn9rFKpXpvv+8Te7F648YNAgMDFfWRkZGcO3cOSHwpRHzh4eGcOHECgGLFiiVrTLE7oiR23JUrV/Dy8kpS4CD2OXp6ehqtP336NKALciQ14WlMTIw+OFClSpUkHRPrjz/+AHQzIRITm0+lfv36FCpUKFnnSI5mzZoBuq1+k/P3MzZYFnd731j79u3D399fUV6nTh1UKhXnzp3jxo0bivqLFy8qltQkpkSJEowaNQpIm2BhfKkOjnh7e1OiRAm+//579u7dy7Vr1xTRHzs7O6ZOnUr37t2TNT1LCCGEEBlQZBgsb6N/+Jejg9Fmk2tNTrSbwfWL8HlpZyIwxTk6mmVPnivaPAl5wvyLxrPdp5nLG+GPonBVt9adIF94dR9CXsDVLTC9OJyYAR8iSJPFHLwWeydZi4mZ4V1stUnWSuop0s7o0aNRqVQsWbKEvXv36stDQ0Pp27cv0dHRfPHFF5QoUcLguN69e5MnTx5u3bqlyNUwbtw4bt26hYuLCz179kz0/NeuXeO3336jX79++sSXsSpUqMD169c5efKkvmzhwoX6urgmTJiASqWiXr16SX7uzZo1w9ramrCwMPr372+QJyUiIoIRI0bg4+ODqampQUJPPz8/5s2bZ3S3ldjtf588eUKBAgVo3LixQf2UKVMMclfEevXqFUOHDsXb2xt7e3s6deqU4LhjAweNGjUyenEeV+y4//rrL9zd3Q3qLly4oH/vOnXqhFr97vfIqlWruHnzpqI/Pz8/unXrxoULFzA1NTUa5Lh48aJiF5vQ0FCGDh3K3r17qVmzJv369UtwzJGRkaxcuRJIPJ9KWmjTpg2VK1fmzJkz9OnTJ8H3Zv78+URFvdshLHZZ0ezZsw3a3rx5U59MOD5XV1f9sqmBAwcafP+8evWKQYMGGQ3QHD58mN27dxMZGWlQrtVq2blzJ2A8SJNaKm0qbrc8f/4cNzc3/P39KVu2LB06dOCPP/4gODhYse3UnDlz+Pbbbxk8eLDiBRWpExQUhL29PYGBgYlOkROfFk9PT6NrPUXGJO9n5iLvZ+po7x1Ftbw1AP5qE+q7KpfEbG+7nYL2778rGRUdw9qJ3emOLrv+Yns7ZhoJtixtupSKzhUV5al+Ly+shq0Dk9Y2R0n4+ihozN/fVrzX86C3VJ18CAAzp/2Y5zisrzNRmXCx58WPNbQUSe7ntcePH+PiovzZEe+cO3fOYKvSu3fv4u/vj4uLi8GWslu2bCF37twGx/7111989913qFQq6tatS86cOTl+/DhPnz6lePHinDhxwuisgpMnT9KkSRNCQ0MpU6YMZcqU4cqVK1y5cgVra2sOHjxItWrVEhyzVquldu3a3L17l+vXr+Pg4GBQv3fvXpo3b46FhQWNGzfm2bNnnDlzRp/Twsrq3Sy8//3vf0ycOJFGjRolK8/HypUr6dOnD1FRUeTIkYPKlStjamqKt7c3vr6+mJiY8Pfffxtc8D548ICCBQtiZmZGuXLlKFCgAFqtlkePHnHu3DkiIiLIkycPu3fvViRVValUqNVq3NzcKFy4MBqNBl9fX86fP09ISAj29vZs2LBBEVSJFRkZSZ48efD392ft2rV07tw50ecXHBxMw4YN8fLyAqBy5coULFiQx48f4+npSXR0NG5ubhw5csRgO9i2bduybds2ihYtSqlSpbC2tsbHx4cLFy7w5s0brKysWLp0KR07dlScs23bthw+fJgKFSqQO3dugoODOXXqFK9evaJKlSrs2bMn0WSsW7ZsoX379jg4OPD06VMsLCwSfY6JqVevHkePHuXIkSMJBs6ePHlCixYtuHDhAtbW1nz22We4uroSERHBvXv3uHz5MtHR0YSFhenHsnnzZjp06IBWq8XNzY3SpUvj5+fH8ePHqV27Nm/fvuXUqVOK8z579oxatWpx9+5dHB0dqVevHlqtVv/6ly5dmu3bt7NkyRJ69+4NwIwZMxgxYgR2dnZUqFCBPHnyEBYWxrlz53j48CH29va4u7tTrly5JL0mSf19mqqZI3/88Qf+/v58/vnneHt7M3bs2AQTvzRvrtvOL3YakxBCCCEyp4dP3uUWGZ1DeXHRrki7JAVGADRqE9o2ffeBuV9gEHVCwxTteu/tTWR0pKI8VZ5fTXpgBODFdd1ym7QeRxZ19cm7Kf+m2Qw/P5qrJQAldAEnT09P/b/Yaf2xF8Gx/4wl3RwxYgQHDhzg888/59KlS2zbtg0bGxvGjBmDl5dXgsstatasycWLF+nZsycvX75k06ZNvHz5kp49e3Lx4sVEAyOgmwVy8uRJZs2apQiMADRt2pTt27dTpkwZ9u7dy61bt/jyyy85evSoQWAE4OzZs0DyZxp0794db29vevfuja2tLYcOHWLPnj1oNBq6deuGh4eHYiZAzpw5mT59Os2aNSMgIIA9e/awZcsW7ty5Q7Vq1fj999+5fv260d1m5syZQ4cOHQgNDeXQoUNs2rSJq1ev4ubmxvjx47l582aCgRGA7du363d6adu27Xufn62tLSdOnGDmzJnUqlWLO3fusGnTJq5cuULlypX5/fff8fT0NAiMAPTq1Yvu3btjbm7OyZMnWb9+PRcvXqRIkSJ8//33XLlyxWhgBKBz587UqFGD27dvs3nzZk6dOoWbmxsLFizg1KlT792lJjafSteuXVMVGEmqPHnycPr0aebPn0+VKlW4efMmGzdu1C+N+uabb9i3b5/BWNq3b8/Ro0dp2LAhT58+Zfv27fj5+TFhwgT27NmDqamp0XPlypULT09Phg4dipWVFTt37sTLy4svv/yS06dPG+TXidWqVSsmTJhA5cqVuXfvHps3b8bd3R17e3tGjx7NlStXkhwYSY5UzRwpXbo0N27c4OLFi5QpUwaA3Llz4+fnp5g5Auj36k5uch+ROJk5kjHJnenMRd7PzEXez5SLjtHyf1Mn8kvEdB5pNDTPl0fR5lLPS8lbOx8dBRPffYh9q1JRuUA+RbOyOcqystlKg75T/F6+DYSprsbremwBEw0sUyZkBOCzrtBuXvLPKQzsvfKMb1bqLv5sSoxBpXr3kbWha0Nm1J/xkUaWMjJzRKSliIgIHB0dKVGihD4XhxDCuA8yc+TBgwdYWFjoAyPvY2NjY7CuTQghhBCZy6Hrzwl6E0oM0D2PcgeAcdXGJf9DvFoDjf9P/9BCq6W+TzlFs0svLrH48uJkjjgBZxPIgD/8ChRuAAXrwP9egWNhZZuLq8FzQdqMIwt7l4w1xiAwAvBrrV8//ICE+IScPHmSkJAQpk6dKoERIdJIqoIjarU6yRluo6OjCQoKkpkNQgghRCa29MgV/jKbx1kLc16qDRNmFnEoQqfiCSfcS5TazODhj1GnCPdrqmg26/wsbrxUZsRPltCXcGCcsrznNnCIM2PFxAS+PQeFGyrb7vkRXj1M3TiyuEevQnVfxNulxsXGBWtT648wIiE+HfXr10er1dKoUaOPPRQhMo1UBUfy589PeHi4fi/pxLi7uxMZGUnx4sVTc0ohhBBCfKL2XH6K85ODhKhUfJVbOWtkSPkhKe9cbbiW2UXlT/1XlsRE2iuadtzREb9QP0V5krlPUZYVbggF6xpv320DmBu5+bO0pexgk0KPXoYybe9/u0aoogzqNCaajzAiIYQQmV2qgiNNm+ru2MydOzfRduHh4fots1q2bJmaUwohRNqKCoeLa2FVJ5hTBeZUhnU94NIGXZ4DIUSSHbzuRy7VKzwslcnk6rjUoaGrkRkWSWWjDLaUN7lL6APjCVObbWqW8gStV7cqy9r8DQlNXTdRw9BzyvJAH+OBFvFe7rfebS1pmXeNQZ0ER4QQQqSHVAVHvv/+e6ysrJg+fTqzZs0yug+xu7s7tWvX5uzZs2TPnt1guy0hhPioHp+FOZVgy9dwex/43wT/W3B9O2zuB7PKw/mVcudXiCS4+Og1m849JkodxgjnHIr67iW7p+4ERpaumBGFNsqBkPtDFXURMRGMO2Vkacz7eC6AkHizTqoMALvcxtvHsskBHY3kKTn6myyvSYE3b3XBaZX6DRqbmwZ1ZvGWWAkhhBBpIVXBkVy5crF27Vo0Gg0jRowge/bs+p1oSpUqhYODAw0bNsTb2xtLS0vWrVuHvb1y+qsQQnxIWq2WCx5/sWDTF4wwC6V3rpz0yp2TYTmdmJXNnmOWFoSr0N313TZYtyPFy3vJP9GrB7oZKGcWwbkV4Hc9rZ+KEJ+M2YdvA+Br66+oa1agGdXzVE/dCcys4MvVBkWdK+hmk8S8zUu4n3IbyF33dnHi9YnknefMImVZw/FJO7Z0WyjzhbJ8zZcQE6MsFwnSJ2NVK7dtrppbdpISQgiR9lI9L7FFixZ4eHgwfPhwjh07pi+/ceNdMrQaNWowZ86cdNmLWAghkioyJpItt7ew/MJ8Hr59AQ62ijaH//vfMiaGeqFhdA0K5rMHx1HNrwOtZxq/8DE4yVs4vwJOzzUeULFzgfo/QbmuCU/RFyKDeRsZzcHrfpipX3M85yNFfdeSXdPmRPFmDFgHXOXEqKnU+u0IEQEN0NjcQm1lOEtj6bOlVPetTo28Nd7ff0w0BNw2LMtXDcxtkj7GJpPgyibDMr9rcOcgFGuS9H6yOFV4ELvNxmBq9oT2GM7aGVpeOVNICCGESK00WbRZrlw53N3duX//PqdOneLp06dER0fj7OxMjRo1KFasWFqcRgghUuzc83OMPzWeB0EPktQ+zMSEPTbW7LGxplR4ON2Dgvl841eYnZwJDcejLdyA4PAogsIiCQmPxu/Fc15vGo791ZWoYhLJcxD0GLYNgruH4YvFEiARmcKYzZcBKJ99Fdfi1bVxKk+5nOXS5kTxkrLi642L3zHOjm1ExUkHCX34DdZFJ2OiCTZo9vXBr9nSegtFshVJvP+dI5Rl8WarvJddHmg1C3Z8a1i+bTB8f1O3w41IlN+9Sww90wBM4KaJ4XteKzQM0xt7oFTrjzQ6IYQQmVWaZrQqWLAgBQsWTMsuhRAiVaJjoplzYQ7/XP4HLSnLHXLN3JyfcpjzZ7Zo2r15QKc1HYmIyo5ndAliMKGAyTNamSRz69ArGyHUH7pvkYslkeEdvPYcVBFcy66cNdKnSIe0O5Gx7VsvrSV78aZcmtCEshP2E3pvGDbFJimatdvejgMdDpDLOpfxviPfwoVVhmX2+cA6e/LH6dZRGRwJ8YOLq6F8KnOvZHaRb8m5vLb+Yfy02BqtFtb3gP6HIW/FDzs2IYQQmZp8IhdCZFpBEUEMPjSYxZcXKwIjjtHR9AwMZl6Jvuxst5Nd7XaxuMlivik7mAI2JY32569Rs8jBnsaueZmcS4ulvTetTI9SNZHAyOHocsyIas/h6HLKynvusG+MJHwVGdreK08JDo/CPOdeRV27SA2Fi6bhLnW5yyrLwnWzROwsTLn+f02xM8tGyP3BRg9vvLEx/mHKnCj6fmLiXYoXTeEyGDMr6L5ZWX5+Zcr6y0qO/Kr/Mgb4OYdhcEo/j2RbKraFFkIIIYxIs5kjN27cYMOGDZw7dw4/P12W95w5c1KhQgU6duxIiRIl0upUQgjxXgFhAXx94Gtuvoq3y0GMlgGBgfQIDMaq5gioOpznQW85cO05+6+pOH03PxHRvTAx88M0mwemDmdRmUQo+j9pZclJK0s0Wi2V376lclg4ZcPDKR4RiWW0mqXRTZgb1YZA3uUqqBN9keVmvxl25DkfbbaCqKp9ky6vgxDpKTwqmsGrzwMxmDmeUtQPa/Bn2s6M0phDz+2wPM6Siuh3P5+WZmrOjm3EoFXnOPTwK6xc/1V0UX99ffa0249L/N1njihnm9B0asrHWqC2LkdKnPHh4wHXtkGpNinvNzOLiYFTs/QPb5iZctfMMM+MOjaY7HcNLqzW5W8SQggh0kCqgyNBQUEMHDiQtWvXArpdIOLavn07EyZMoEuXLsydOxc7O7vUnlIIIRL1LOQZ/ff3V+QXKR4ewbQX/hSKjCIiRxnmm3Riz98nufjotaKPmIichD9vQ/iLzzFz8MTM6Qgq9VtFuyiVCg9LSzwsLfVlqig7It9GEBN+DM3bPESHuaKNzMaxmM/oEP4/Npr/n0EfkXt+5u+genxTryiWZuo0eQ2E+BAevwojOkaLec49irr2wW/IbpmCJSnvky2/4ePwNwYPNWoTFvasxDqvnPy8PxxLl3hLZYBmW5qwsslmPstdVFcQ9ATOLjVsVLAOaFKxZazGTLf0Y34tw/JzKyQ4kpBDEwwe+qmVH1NLRMQJNm0dCKXa6mbqCCGEEKmUquDI27dvqV+/PhcuXECr1ZI/f37q1KlD3rx5AXjy5AnHjh3jwYMHrFmzhps3b3LixAnMzc3TZPBCCBHfo+BH9N/fH983vgbln78JYaL/Syz/C+B2fdwe70fv357XQm1FOYd2lMnVjQiLM1wMPMC9oMS35NVqgtDYBIHNu1krqqhshAcV51xgBX6P7MAPphv1dWaqKNqcaEPJw9PpWDEfPzUvSTbrVFyUCfEBRMdoaTPnJACmDmcU9RP8Xyp2l0kT8ft8cg5uH4Cihlv5dq7sStWCQ2m8OASL3FsV3XTf356p1RbTonhVeO2jPE8O48vrkiVHSeXskTsH4M0LsMmR+v4zm0sbDB5GGclX3TPQMNkuD09B0UbpOCghhBBZRaqCI1OnTuX8+fNYW1szf/58unXrZrTdmjVrGDBgAOfOneO3337jf//7X2pOK4QQRt0LvEf/ff3xC/MzKP8i0pz/vfDRJ1naFV0Fb63xpX5qExUV82ejZmEnqhfOzmf57DHXxM7m+Azoz8Ogh2y/u53DPoe58/pOksam1bzCzPE0Zo6nWR6Rk/DgAvwQ/ADz/ybbFTJ5Rh2TS2w4q2LD2cd0q+rK2BalZCaJ+GRd9g3kTXgUptlOoFKHG9Q1exOCCsAqHWaOqI3cYDk6TREcASjgZM2SOi0Ydd6CIJu1ivrRp/vxJHgy/U1eKfusNzoNxqqBr4/B3GqG5duHQNd1qe8/M4mKgOAnBkVe2iJAoP5xj0JtML0/2/C4VV/A6EdgITOThRBCpE6qFgKvWbMGlUrFvHnzEgyMAHTp0oV58+ah1WpZvTqZW+IJIUQS3Hh5gz57+ygCI25vSzD+8W39L7sIrZrforoYtLEyU9PcLRd/df6Ms2Mbsf7r6gxrVJQqBR3jBEbeyW+Xn6Hlh7KlzRaOdj7KtDrT+Nzxc6rnrk4282zvH6yZH+uyx1CpgCsLHOyI3fh3vGY5KmIAWOXpQ8n/7eXHjRd5Ex5/vwYhPr5tF3xBFYFFrp2Kuon+AVCydfrMjrByBNs8hmVvniXY3FSt4uTgn2no+IPR+llXf2KZ+0+GhRV7686TFpyKgXm8C/fHXmnTd2ayqa+iaHm04YwQjaUjL/IaSZLr651eoxIZxIYNG6hXrx7ZsmXD2tqazz77jGnTphEZGfn+gxNw9uxZOnbsiLOzMxYWFhQsWJChQ4fqcyvGFx0dzcaNGxkzZgxNmjQhe/bsqFQqNJr334tevXo1pUuXxtzcHFdXVyZMmEB0dLTRtiEhIRQoUIAyZcoQEaHMiZYWfHx8GDJkCMWLF8fS0lL//Hv16sXFixeNHrNnzx769etHpUqVyJ07N+bm5tja2lKuXDl++ukn/P0TSIb933OaMmUKlSpVws7ODlNTU3LlykXLli3Zvn270WOuXbvG8OHDqVOnDq6urlhZWWFpaUmRIkXo27cvly9fTpPX4lPm7u6OSqWiXr16H3somYZKGz9JSDJY/rfG/s2bN6jVid/djIqKwtbWFoCwsLCUnlIYERQUhL29PYGBgZLTJQPx9PSkatWqH3sYmcLFFxcZeHAgwRGG062jXjTgQPAOXFQB+rKFUS2YHNUNM7UJjUrlpH15F2oVdcLCNHUzNOK+ny/fvuTu67tc9r/MBb8LeD71JDQqNNHjZzx/QcPQMH6O/IpV0cop4mOalWBAnUKoVEbmmYs0Jz+fibv6JJAWs05g6nAGi9yGu7I0exPCtBcBMOYxmNumzwCeX4N51d89ts0N3xvfNSrue/m3x17m3zIeJGkUEspffv99eK/xLTSZmHbj9fgb9sULwPTcDoXqpt05MrK3QTA1n0HRnZjctHbJg9r8hb6sv1t/Gj8zp+SZHw2PL/sltF/wIUaaKsn9vPb48WNcXFw+wMgytuHDhzNz5kw0Gg0NGjTAxsaGw4cP8/r1a2rVqsX+/fv11yxJtXHjRrp06UJUVBSVK1emYMGCeHt7c+/ePZydnTlx4gRFihQxOOb169dky6a8QaJWq4mKSvgmx86dO2nVqhXZsmWjXr16XLhwgfv37zNkyBBmz56taD9ixAhmzpzJiRMnqFGjRrKeV1J4enrSuHFjgoODyZs3LxUrVkStVuvHpdFoWL16NR07djQ4rnv37qxatYoiRYpQoEABcuTIQUBAAGfOnOH169fkzJmTw4cPU7p0aYPjAgICqFOnDteuXcPGxoYaNWrg4ODAnTt3OHfuHADffvstM2fONDhu8eLF9O/fH2dnZ4oXL06uXLkIDQ3l8uXLPHz4EI1Gw/Lly+nSxfCGWGbi7u5O/fr1qVu3Lu7u7h97OJ+0pP4+TdXMkWzZsmFhYfHewAiARqPBwsICR8c0uhOTQrt372bChAm0atWKPHnyoFKpUKlUPH78OFX9RkRE8Ntvv/HZZ59hbW2t/wW3cePG9x8shEixE74n6L+/vyIw8vZ5C/q8CjMIjLzU2nDUuRcT25bhzM8NmdutIo1KOac6MBKfo4UjlXNV5qsyXzGrwSxOdTnF3IZzaZCvQYLHDHfOQec8zrQ1Uya2BJiy5wYFx+xmycn7isTXH0VUONw/Bp4L4djv4DEXrmyG0Jcfe2TiA/C4G4BKHaIIjACMCvhviYqx5S9pxbmUYe6RJH7fDa7elP+VX2S07qC1FW4FXQlVqXRJPtNS9cFgam1YtvEriDF+ZzjLiXijKPrHophBYARAbaImKHs5ZULbS2vB92w6DlB8qrZu3crMmTOxsbHB09OTffv2sWnTJm7fvo2bmxsnTpxg3LhxyerzyZMn9OrVi6ioKBYsWMCZM2dYt24dt27donv37jx//pyuXbsq/habmprSrVs3/vjjDw4fPsyFCxeSdL5x48ZhZmbG6dOn2bx5M5cvX6ZEiRLMmzePZ88MZ8V5e3sze/ZsBg4cmC6BEYABAwYQHBzMgAEDuH//Ptu2bWPz5s3cuXOHsWPHEhUVxYABA3j71jBJ/ciRI3n69Cm3b9/mwIEDrF69mn379vHo0SM6duyIn58f/fr1U5zv//7v/7h27RoVK1bk4cOH7Nu3j3Xr1nH27Fl27dqFRqNh1qxZnD592uC4Ro0acf36dZ49e8bRo0dZt24dO3bs4N69e/z+++9ERUXRr18/Xr0ysmxSiASkKjhSr149goKCuHr16nvbXr16lcDAwI8+7adr16788ssv7Ny5k6dPn6ZJn6GhodSvX5/Ro0fj4+ND06ZNqVKlCidPnqRjx46MHDkyTc4jhDC0895Ohh4aSljUu9loWq2Kt0/bYf+yLIM02wzav63xA6uGfk6PavlxsPpwCU/VJmpqu9RmZoOZHOl0hHou9Yy2u2ZuzlcFTKlU9F9QGZ8K/MuOaxQft5ezDz9SEOKRF0zMAZNywrJWsOcHODwJ9o2BjX1gWkGYYA/3jn6c8Yl0F/w2kkm7rqO2vqWo6xQUTPYY3dIw1KbpO5C4wZHocDhjPOgRX8ey1firesI3LqoWyMdt63SYhZmnnOHjUH8JJsZ65Kko2qRR5oXKZZVL90W+aoo6Hnqk9ahEBjB58mQARo8eTYUKFfTlTk5OzJ07F4A5c+YQGBho9HhjZsyYQWhoKI0aNWLAgAH6crVazbx587C3t8fLy4v9+/cbHGdtbc3KlSv5/vvvqV+/Pvb29u89V0REBJcvX6Zu3boUK1ZM30/37t2Jjo7mzJl3ya6jo6MZMGAAuXLlYsqUKUl+PskREBDApUuXAJg0aRKmpu9+j5uYmDBhwgQsLS15/fo1168bJqcvV64cuXLlUvRpY2PD9OnTATh9+jRBQUEG9YcPHwZg1KhRipvozZs3p379+gB4eBj+jBcoUIASJZS/J0xMTBg5ciSFChUiNDSUEydOJOm5CwGpDI6MHTsWKysr+vXrl+gvnaCgIPr164e1tXWyo7dprX379kyePJm9e/cmuGYwuX766SdOnTqFm5sbt2/fZtOmTezbt4/Tp0/rfyHs3Klcky2ESBmtVsuiS4sYc3wMUdqoOOUmvH3SicjXVflOswEbVZy7GtmLkKfR4I8wWkNOlk7Mbjib9S3Xk9Myp9E2NzW3sC0xjjwFjgLKqbgRUTF8Mc+DshP2cfKObhlAVEwUXs+8WHFtBZNOT2LgwYH02N2Dr/Z9xdBDQ5noMZFV11fhF5rC33tvg2BudfinkeHOGwlZ3hrm11ZssyoyvhWnH6LSBGKZV5lQtGvQfzO4bHJBei8Bi79rzeFJkMRZVY2KFWderT2oo43nAmi/vT0bbm0wWpdijY0s07mxI23PkRGFv4ENvQ2KjkW7gUr5XjYt2FT3RZn2yn4enkyHwYlPma+vL15euvw9Xbt2VdTXqlWLfPnyER4ezu7du5Pc75YtWxLs08bGhtatWwOwebNy5lxyvX79mujoaEVQIHt2XTLrN2/e/Q3966+/OH/+PHPmzEm3ZfTJ2VHUyckpyW1j866YmJgYBFwALCws0vx8cc+ZnOe0dOlSVCoVvXv35uXLlwwfPpzChQtjbm6uuMF/6NAh2rdvT+7cuTEzMyNnzpy0a9dOEcSJdebMGX788UeqVKlCrly5MDMzw9nZmVatWnHw4MFEx7V8+XIqV66MlZUVjo6ONG3alOPHjyd6zMGDB2nVqhXOzs6YmpqSLVs2ihYtSvfu3Tl27FiSX5OsJlW71djY2LBo0SIGDhxIiRIlGDhwIHXr1jXYyvfo0aPMmzePt2/fsnjxYqysrPDxUW6Z5+rqmpqhJNm///6bpv29evWKefPmATBv3jyDH9yKFSsyatQoxo0bx6+//krLli3T9NxCZEVhUWEMPTAGT79DBuXaGFPCHncjOqQENWye82WUu+GBTSal/53sZCiZvSQHOx5k9/3djD5ufFeMYMs92Jbcg2loFQJflCM6LC9ozQAtmIQTonlAn207Mbf2Acv3b0sMMPXMVPLa5GVanWmUzVE2aYO9ewRWtE1a27ieXYIpeWHIWXAq8v72IkM4csMPjY1yO+uvXwVSOPK/YF6Dsek/kLwV4E6cD5RvX+uWe5km7YN2rcIubPKsx8JX29htY62o/z+P/2P/g/3MbTgX07T43eFSEQrW0S1Hi7VzBJRuB5ZJSOScWT1TJk0MwA5UhkuOxlUbh3Xs0iTbXNBqJuwY9q7Bzd1wzx0K1Uu/sYpPyvnz5wFwdHSkYMGCRttUqlSJR48ecf78+STlnggODubOnTv6YxPqc8WKFfrzp0bOnDmxsrJSzMKIfRx7TfXgwQPGjx9Pu3btaNu2barPmxAbGxtq167N8ePHGTt2LHPmzNEHM2JiYpgwYQJhYWE0a9aMfPnyvac3nfDwcH76SZdzqXHjxor8L82aNcPb25vffvuNhg0bGgSKdu/ezZEjR8iVK5c+KJUUCxcu5NatW+TMmZNq1YzMNHsPf39/KlWqxOvXr6lduzYVK1bEzOxdQH7kyJFMnz4dExMTKlWqRO3atfHx8WHbtm3s2LGDRYsW0adPH4M+f/rpJ44cOULp0qWpWLEi1tbW3L17l507d7Jz505mzJjBsGHD4g+FYcOGMWvWLExMTKhVqxZ58uTh0qVL1KtXj6FDhxod/7Jly/Tnr1KlCvXr1ycsLIzHjx+zdu1anJycqFOnTrJfl6wgVcGRuL+IgoKC+OWXXxJtbywCC6BSqRJNVPQp2717NxEREbi6ulKzZk1FfdeuXRk3bhynT5/myZMn5MmTx0gvQoik8Hh0iRFHfiBEa7jdozbaktBHvXFUF+Pb1oXpfnMeJg9j3jUoUBuKNf3Ao30/lUpFi0ItaJqvIb/NK8Eae+PJKyOtzmCV/4zRupTwfeNLt93dcLFxYU2LNThYOCTc+MRfcHBCwvXFW+gu+PyuwrnlxtvMqQgjroK9JBbM6PZeeYqXjy+2xbcq6uqH/re8zdIRKvRI/8G0mQvTixmWRSc9OAJQ2EHDb7cCqBn2lp9zKLcdPv30NBVWVuBAhwPkslZOF082OyM/A37XIX/65A7IEKLeKopWRDUGHhiUmZrEC1AZ2yb6xq6sExyZXiJjz8wzt0kwiXJS3b9/H0j8BmvsBXxs2/d58OCB/uuE+k1un+/TunVr1q5dy59//km/fv04ffo0S5YsMbiwHzhwIBqNhjlz5qTJOROzaNEimjdvzsKFC9m1axeVKlVCrVZz/vx5fH196dGjR6LjOHfuHLNmzUKr1fLixQu8vLzw9/encuXK/PPPP4r2o0aN4syZM+zbt4/8+fNTs2ZNfULWs2fPUrNmTf75558ElymFhoYyaNAgAAIDA7ly5Qp37tzB2dmZDRs2pGiWza5du2jYsCGbN29WHL9o0SKmT59OkSJF2LRpE2XLvrvRdOzYMVq2bMk333xDrVq1KFq0qL7u+++/Z8WKFeTOndugPw8PD5o2bcoPP/xAhw4d9AGx2HHMmjULa2tr9uzZQ+3atfV1U6ZM0Qed4vvll1/QarUcP36cWrVqGdT5+fnh6+ub7Nckq0hVcCStkgJ+EskFUyg2apxQdLlQoUI4Ojry8uVLLly4kCbBkfjJY4ODgxNoKUTmEBoZzoi9MzkVsFpxNzEmIjuq518xolZ1vqpVEOs7O+Bh3KmGKvj81/Sf4p8KalMLfuqwhV7/NuSHHE5ctkjHRJZxPH7zmNrrarOi2QrK5SxnWKnVwrrucCOBJYElWkK7+Ya7kTT9DTb3N37MX6Xhp6dgZpVm4xcf3uozjzDLpswP0TUwmNKxW0paOnyYwdg6Qy43w5kHQU/A4v3r/AF4eQ/OLASg9ZsQikZE0ClvbqNNG29szJ/1/qRx/sapG3PNb+HiasMy/1tZOzgSGmDwcHt0dc5pi2HrsMugXG0SL3F2AcMP/ACEZ6HPQ+FvICILPV8jYj//WlsrZ37FsrGxAVDkuXhfn4n1m9w+32fKlCkcOXKE77//nu+//x7QJXdduXIl5ubmrFmzhr179zJ37lyD64i3b99iamqapI0xkqN48eJ4eHjQo0cP9u/fb3AhXapUKerVq5dowMHHx4dly5YZlDVq1IgFCxYYXPjHsra2ZseOHfz0009Mnz6dffv26euyZ89Oo0aNjB4XKyIiQnG+QoUK8c8//xgEE5LD1NSUhQsXKp5n7OwZgLVr1xoERgDq1KnDuHHj+PHHH1mwYAF//PGHvq5Zs2ZGz1W9enUGDx7MlClT2LZtmz7QA7r8NwBDhgxRPJcxY8awfv16o4l/nz9/jr29vSIwArrZSjlzGl/WLVKZc+T+/ftp9i+jSkrUOnbboLR6nvny5TP4V6pUqTTpV4hP0YpzR6m5vDWnXq5QBEaiQ4rSLuc0jo34kqENi2KtioB98abzV+wFuT/7gCNOoVxlyYspq58+Z63vU6qGKe+mvk9MlA2RrysQ9qQDIfcHw6OfmFB+OTPqz6BevnoJHtdjTw+23N7yriA6Cv79POHAyNBz8OUq5TatZla68i5rjR83OTdEhCTvSYlPxovgcI7deo55zn2KurZx1sWjSfrMjVSLvyPO4kYQE2O8bXynDLfILBkRSck7HRJs/p37d9RYU0OxM1ay5CwJFQ2nWrNjGAQ/M94+swt9CZv6GhS91Nqisb0Cps8NyjWqePfzLLNBpxWGZRfXgP+d9BipEOmmQIECXLlyhd9++43+/fszduxYLl26ROvWrXn16hXDhw+nZs2afPPNNwCsW7eO4sWLY2lpiaWlJS1atEjTa6mTJ0/i5ubGlStXWL16Nc+ePePly5fs2LGDyMhI+vbtS9++fRM8vm3btmi1WqKionjw4AGLFy/m+vXrlClTxugunk+fPqVmzZrMnj2bSZMmce/ePd68ecOZM2eoWLEiv/zyC7Vq1UrwZrCDgwNarRatVsuzZ8/YvXs3OXLkoH79+vzwg/Gt29+nfPnyFCpUSFF+/vx5njx5QuHChalYsaLRY2Nzk5w6dUpRFxAQwPLly/nxxx/p378/vXv3pnfv3hw9qktif/PmTX3bqKgofTLZ7t27Gz1Xz549jZZXqVKFwMBAevbsydmzZ4lJ6t9FkbqZI/nz50+rcWRY6RG1Tilvb+9ExyE+La9evcLTU3kHVuiceH6PTc/2EGR2AZXGcHaZVmtC9rDP+bZoa1zstNy+opvBlffWMlyC3s2sijK15aJDC6I+wOucFu+nfbmxlPAeS+mISBY/8yMC2FK8I0ctzXgW8YxXUa+I1kajQoWJyoTsmhy8Ds7Og+d5iA4tiDbKMG9BMPD9at0SpN5lv2BOkS6s91/FsdfKRFz/O/U/7ty7Q127GpQ48yN2r64o2oTa5OdKzblo7/jDf4lgjXPEusYcypwaoqjxX9qdu58Zz7HyKZGfT6UppwIxy35EUd4oJJQSEe92V/Izc+X+B3rtiodrcYhbEPGGi0c28dbm3Q2LhN7LYg+vED/Tx93IogRfn4xFnnWY2l9UHBMcEUyNNTVon6M9TR2bYqJK/j2mfK9CiT+H9M6BfwjI2yjZfWV0jk+OUDRe2VvMUFvfVrR9ev8pni88Dd5Pq8BA3OK189/8wyf7OyYkJA2Dw+Y2adfXx5AG47e11QXoE3tdYxOaJnVpRWyfsf0aW8qR3D6TwsnJiR9//FFRPnLkSF6/fs3ChQtRqVRs27aNL7/8klq1ajFlyhSePn3Kzz//TP369bly5Yr+miOlXr9+Tbt27fD398fDw4OqVavq61q2bEmpUqVwc3Pj33//pXv37vqdZIxRq9Xkz5+fvn370rBhQ0qXLk2fPn2oVauWwa42vXr1wsvLi2nTphkEMypXrszOnTupWLEiFy9e5I8//nhvCgdnZ2eaNWtGw4YNqVq1Kn/88Qd169ZNdt7HAgUKGC2/d0+X3+3u3buo3jMj+cULw63IFy1axIgRIxL9fo17rRgQEKDfLjmhnDoJlc+dO5eWLVuyYsUKVqxYga2tLZUrV6ZBgwb06NHjg+X6zIhSFRz5kH788Ue2b9+e7OMWL15sdEpRRvbo0SODx8HBwZQqVYpKlSqlW/ZqkfY8PT0N/ugIneDwEAbtmsb5oC2ozLXE/9NjEpWTIW5j6Ve5nuEfpudXYb/h7hKaxuOpWKVJ+g+atHo/q8LznfDoNABmQGefg3T+4R6YJHwRFhUdwx/7bzH/6N0E2yy9FMLSSyF0r/YNa5sP48vdXyjaLH+2nOz+B6liJDBC5X5YtZhOleQ8lzzWuu1943B6chin2l9ByVZJ7uljkJ9PpQtbdmFV6IKifOTLVwY/pzl7LCZn/FlF6cXyG91Srjg+K1EI8r67o2f0vYyJgT3x8vg0HM88l6Z0WuDB2yddiAysgJXrEqOn3fxiM5tfbGZkpZF0L9ldueQjMXk1cM9wp58iLjkpUiULfr95XYZ4MajjMW6oVMqEv13qdMHK1Mrw/XxbAuIFYZ3UoTh9oj+7aXqTLJX5OjKD2AvY+J+L44qtS+hiN764N359fHxwc4sffkt+nyl19OhRlixZwrhx4/SzxKdOnYq1tTXbt28nWzZdeFetVjNw4EBWr15tsPVwSuzatYsXL15QuHBho38DCxUqRNWqVTly5AgHDx5MNDgSV4ECBahfvz67du3iwIED9Oihy0vl6+vLgQMHAIwmzDU1NaVDhw5cvnyZgwcPvjc4EsvMzIxu3bpx4cIFtmzZkuzgSPyksbFiZ2DkypWLzz//PNE+4m7ScfbsWb7++mvUajW//fYbrVq1wtXVFSsrK1QqFQsXLuTrr79Os1QTJUuW5ObNm+zfv5/Dhw9z6tQpjh8/zuHDh/m///s//vnnnwRno2R1aR4cefjwoX6L3Jw5c6bZ7JInT54YTDVKqrhbYKWH9Ihav0/sMp1Y6T0jRYgPITommnln17L4ylyiTYIUKUK0WjUV7b5gdvOR2FnE+6MVGQab+hluMetcRjl9PSOo2EsfHAEg7JUuL0K1bxI8RKM2YXSzEnzbsAh/HbjFouMJT69dedqHlaehcqFZPLD6kbfRhst3/op6gqmdLT2C4kxfrTcG6qXgTmzpdnB7v26qe1zrusP3t3Q5I0SG8Ouua5g6nEFtbngnrILajrxRcXagK9pEudwqPZXtBO5T4WWcwGDoy/cf5z5FWebWkSoOjnzfuBjTD9wiOqQ4wTcmYlVwluJ5x/rD+w/+8P6DnFY5+anqT9Rzqff+QIlLRSjfHc6vfFe2eyRU7P1J7aj1QURHGjw8Hl2GkzFuWKiuGpTPbTgXK1Mj+Yos7KHZNNgT5477o9O6nEmfcJ4pkTbKly8P6O6w379/3+hddG9vbwAqVKiQpD7t7OwoUqQId+7cwdvb22hwJLl9pkR4eDhff/01xYsXN0i6eeHCBcqUKaMPjAD6m8DGck8kV+yOoolds8TOpnn5Mgm/a+OInd0ee50Y93yJnTMtz5dascl4s2fPztKlS5N83IYNG9BqtQwdOtToDKHbt5Wz5bJnz465uTnh4eE8ePCA0qVLK9rETSAcn0ajoXnz5jRv3hzQXS/++eef/PLLL3z99de0a9dOVhwYkaqcI7F8fX0ZPHgwOXLkoFChQlSrVo1q1apRqFAhcuTIwdChQ1OdFXflypX69WTJ+de0afruUBEbNTa2PXGs2ASq6R1hFiKjOvn4DPXXtGPBtalEmyiDfdlUZVjUYDXL2o9TBka0Wtj3M/hde1emUkPLGaDOMJPj3vmsi3Jbz72jICSxZSw6VmYafm5RiruTm/Nj0+KJtvW6F8qLK2MhKv7CApiWPRt7rf+7EKk9MmWBEdBdnLSZa3xXie3Gt58Tn56Q8CgWHb+PWfajirqFd+PNMtJ8mGTCBvLFm8+0qsP7E3Ne36Es+y+oM6RBEUrk+i/AozUl9N73hD7sr2wfh1+oH8OPDKfcinK4LXPjp+M/seTKEu68SiD/Re5yyrILq5Vlmd2TCwYPD8foLnaz2xj+7rYxS2SpQNnOyrLj01M7MpEBuLi4ULlyZQBWr1b+/Jw4cYJHjx5hbm6uv0BMinbt2iXY55s3b9ixQ/f7o3379ikZdpL8+uuv3Lp1iwULFmBu/u73qkqlUtyQjX38vmUeSRGb+PTGjRsEBgYq6iMjIzl37hyQ8JIOY8LDw/X5M4oVe7fLWNxEqwktZT19+nSyzwdw6NAhxflSq3Llyjg5OXHt2jWuXr36/gP+ExvYMTZp4O3bt2zatElRrtFo9Duhrlq1ymi/K1asMFpujJ2dHRMmTMDBwYHQ0FBu3bqV5GOzklQHR44cOYKbmxvz588nICBAEZwICAhg7ty5uLm54e7ungZD/rTERo1jo8jx3bt3T/8DERvhFiJL0WrB7wZc3wkX18GtffDiFmi1+IX60WvnEL451JdXUcrZDpooF6ZVX8Kxnmuo7ppA4uFTs8E73tZwdX+EfJXT4cl8ACoVtFugLDd2pzsBahMVg+oV4cHUFizsYTxhmI6Gt3e+JXuk8gPVDzmduFS+MzQYa+S4ZDAxgW/PK8tv74Nb+1PXt/ggtl14gtryHiZmhruKlLMtgHn8GcCOhT/cwGIZm1Hw4GTix7x+aPi4WDP9LjsqlYrV/asZVEeHFib4xiTC/esmaUg77u3gz7N/0m57O9yWueG2zI2Z52YSHh2OVqsl0NLIlr4vkj87NkN77A2XDJM3R/43oTnExHDJiCIZa1ymlhB/Aea5ZUabiswndlbF1KlT9RftoJtNErvrx5AhQxS5Q7Zs2UKJEiVo2LChos/hw4djZWXFwYMHWbRokb48OjqaQYMG8fr1aypXrkyTJumzbPfatWv89ttv9OvXjzp16hjUVahQgevXr3Py5LvfcQsXLtTXxTVhwgRUKpU+QWhSNGvWDGtra8LCwujfv7/BDPyIiAhGjBiBj4+PfrlLLD8/P+bNm2d0Nnvs9r9PnjyhQIECNG78btcvV1dXfYBr2LBhipkQK1euZN063TLErl27GtTNmDHD6JKq0NBQJk2axKZNm9BoNPTpk3aziE1NTRk/fjxarZZ27drpAz5xRUdHc/jwYX1QB3TLXACWLVtmkFj27du3DBo0KMGEusOHDwdg9uzZigSv06ZNM/iejxUaGsqff/6pyHkCcPz4cV6/fo1arVasRBA6qbqt6uvrS9u2bQkODiZXrlwMGzaMRo0a6V/sx48fc+DAAWbNmsWzZ89o06YN165dS3Q7poymefPmmJmZ4ePjw8mTJ/URvlixUedq1aqlyTa+QmQYkWHg8TecXQqBhn+8tMAmpzxMszYjzESZQVsbZUNVh6781aI/dhaJ7Hzh/S8cGGdY5lJFN9shIyvaBN2H/ThXnl6LddPucymn+CamSelcPJjagiu+gXy75jz3/N/dcVITzXrTKZR5/JD6rnkJjLcdYLfXHqx/eYOS2Uum/LmAbup78z90SwfiWtsFRj+S7X0/Ya9CIvhpy0Vsii1X1P1Z+Eu4FC+5b81hH2hkcRRtogyQhr1KuL3HXIgMNSzrZHgx7Whtxu5va9N8VpxtwbUaIl40I+LF5/zeK4b/O5O8wOHiy4tZfHkxUaH5iXjcBU+NHU6qdxcSey8+oHSVUPI5ZpGfhxu7FEVvtJaYOpwhWmW4JDrRpUoacyjcAO4eelcWprzjLTKntm3b8u233zJr1iyqVatGw4YNsba25tChQ7x+/ZqaNWsyceJExXGBgYHcvHlTn/Ayrjx58rB06VK6dOnCgAED+OeffyhQoABeXl7cu3cPZ2dnVq9ebXSmxqBBg/QXrOHh4YDuYrlatXcB1xYtWjBu3DjFsQBarZYBAwbg6OjItGnTFPVjx46lefPmNG7cmMaNG/Ps2TPOnDlDkSJFFDk7YvNjmJomfblejhw5mD9/Pn369GHDhg24u7tTuXJlTE1N8fb2xtfXFxMTE2bNmmWwm0toaCiDBg1i+PDhlCtXjgIFCqDVann06BHnzp0jIiKCPHnysHXrVizifa77999/qV+/PtevX6dkyZJUq1YNJycnrl+/rp+d0b17d7p162Zw3IwZM/juu+8oWbIkxYsXx8LCgqdPn3Lx4kVevXqFubk5ixYtokyZMkl+/kkxZMgQfHx8+P3336lduzalS5emSJEiWFpa8uzZMy5cuMDr16+ZN2+e/n3v06cPM2fO5Pz58xQsWJDatWujVqs5fvw4YWFhDBs2jJkzZyrO1apVKwYPHszff/9N7dq1qVOnDrlz5+bSpUtcv37d6HERERF8//33/PDDD7i5uVG0aFFMTU158OCBPmDz888/kyNHjjR9XTKLVM0cmTZtGsHBwVSqVImrV68yatQoKlasiLOzM87OzlSsWJHRo0dz5coVKlSowJs3bwz2e85IGjZsSIkSJdiyZYtBebZs2Rg4cCCg+4UYEPDuztq5c+f47bffAN03oRBZho8n/F0FDk9UBEb81SZ8nSsHv9hqFIERVYwJDm+bsKTRZv75YmjCgZHIt7BrJOwcYVhunw86Lc+Yy2niUqngO2VCQhbWT/o2pfGUyWvP4ZH1OD2mIbWKOKEmmj1moylvcgdT4KiPL7miohTHddrZiWchabDNaJX+uguYuGKiYG1X3ewi8Uk6dvsFJha+qNSGFxBVc1Ykx5ZBho1rDAUrxw84uv8Ubwr54iUOPPGX8e8rrRaO/mZYZmFvdDlQqTx2Ccy8MuGHZRqOdTiLeyd3WhdunazhaqweYlVsKh0cKxF3c/KmYbvo/ftKOs33IDRC+bOY6RjZ1vtkTGk0tpcU5Vaa9wSMOi41fBweCCEBRpuKzGfmzJmsW7eO6tWrc+rUKXbv3o2LiwtTp07l8OHDCSbXTEzHjh3x9PSkffv23Lt3jy1bthAdHc3gwYO5ePEiRYoUMXrctWvX8PT0xNPT0yAHSGyZp6cnd+8mnDx94cKFnDx5klmzZuHg4KCob9q0Kdu3b6dMmTLs3buXW7du8eWXX3L06FGsrAx/Ts6ePQuQ6La7xnTv3h1vb2969+6Nra0thw4dYs+ePWg0Grp164aHh4d+W+FYOXPmZPr06TRr1oyAgAD27NnDli1buHPnDtWqVeP333/n+vXrfPbZZ4rzlSlThitXrjBq1CiKFSuGl5cXW7duxc/Pj88//5x169axYsUKRTBq8uTJ9OzZE5VKxbFjx1i/fj3nzp2jQIECjBw5kmvXrukTv6a1adOmcfLkSbp168abN2/Yu3cvu3bt4smTJ9SrV4/FixfTufO7JX8ODg54e3szaNAgHBwc2LNnDx4eHjRp0oRz585Rrly5BM81Z84c/v33X8qXL8/p06fZvXs3uXPn5tChQ7Rt21bR3sbGhvnz59O5c2fCw8M5cOCA/vVs3749hw4dSnJi26xIpU1FWtzixYtz584dzp07Z/SbPa7z589TsWJFihYtmqLEqmll4sSJ7Nr17m5F7Pq28uXLY2ZmBuimpc2dO9fguAIFCvDw4UOWLFlC7969DepCQ0Np1KgRHh4eZMuWjQYNGhASEsKhQ4eIjIzku+++Y/r09Fv/GhQUhL29PYGBgbJbTQaSaXfDuLkXNvSCKOXdGA8Lc8bkcCJAo7wL2CgklO9fviKveXZUpdtB4frgWl0/1R2A14/g1l7dhU9QvDxGltngq/2QI+3WliZHuryfqzrqEprG1eRXqKHcIjdZwoNhinI6ZYhKRbUC+Ywecr7HeTQmqQw6+d2AuUZeo/5HIG/6JbZLiUz785kML4LDqTx5D7YllHc4VxX7irL7JhgW1vkRGnykGwEnZ8KB/xmWdVkLxZsZvpcRITA53izOIo2h+8YEu5596DbTDxhfm71veB2K/5efRKvV8ij4EcceH2Pz7c3cfq1MsGeM54NHWP33UWxtVD1GR+l2mzj+Y/3MPYtkx3A4+243oLGRfVgZ3ZjsRecToXmgL3e0cMS9k7v+wijBn80/isObOIFcl8rQ72A6DT5lkvt57fHjxzL1XaRIREQEjo6OlChRAi8vrzTJRyJERpbU36ep+qT76NEjbG1t3xsYAV3wwdbWNtHttj6Eu3fvGk34c/78uzXx8ad7vY+VlRXu7u78+eefrFq1it27d2NmZkb16tUZMmQIHTt2TPW4hcgQ7hz6byZAtEFxtG0eJtrlZZPpc8XS8JxRUYwNeEX90DBdQZQfnFmg+wdgnQNMTHXBlrAEMpXb5IIuaz5aYCTddF0PvzgYlu3/WXeXPKU5VR57w2LlGmuA+RFf8OZubWwKK4O5lZbX4fiX7thamKXsvAA5S0DHZbrgWVyL6sOYxx92lxPxXu43/VBbPFaUNyvQjLLRRg74mAEuOyPLdX3PQfFmhmVrvlS2azc/0a6HNixKYFgki08o14R/PuMYxZxtWNijEq6OVrwMtGP5vnzceh57pzYGU/uzWORRJtuLVbVAPo4/fIxDTAy5Ve9+x9WedoSD39WlSM5EkpFmZBGGS2d8tDkBsDJXERHn+2tJ0yVJu7CzzGYYHHnsBWGvDQPsQmQRJ0+eJCQkhKlTp0pgRIhkSNWyGlNTUyIiIpK0J7NWqyUyMjJZ697Sw9KlS9+7w42xxLEPHjxAq9UqZo3EMjMzY/To0Vy+fJnQ0FBev37N0aNHJTAiso5XD2FTX8PAiIkpNyqMoppNRTaZKQMjRd44s/SNw7vAiDEhLyD4ScKBkbwVYYD7JzfzIE2oVNBlnbL8n0bwMuHteo2KCoctAxMMjEQ3GI9pg9FoI3IQck+ZNyJaFUy1VXVYcPwWMTGpWAZTogVYOCjLL6xRlomPJuBNOD9s8sKqgDI5cMuCzeDgBMNCZzcolr67wyXK2LmPTTPctSbwMdyPlyPFpQpYO723+7EtS/F9Y+PB11vP31DvD3cK/bSbtn+f5NbzuBf9JkQGVib4+lSjP1exaud34ZlajZ3KMBdKoz+P8uhlaAJHZWC+Z+HyBoOi2GSsWgwjb47mSVyqVdnI0oHIRP62CJGJ1a9fH61WS6NGjT72UITIUFIVHClWrBjh4eHs3r37vW137drF27dv03Q7JSHEJyI6Etb3NEiCqDW14k+XsbR/cpy3FhcNmmtjzChnMZClffaQb5gHDPGGuqMgWzK2abPOCU2nQp+9YJc7rZ7Jp6d4U6j6jbJ8Vjl4fDZpfdw9ApNywsUEtgrtuAx1ne/4tmFRbk1qRu9KNQi5P0jRzEQTwqybfSn081YeBijzBSSJ2hQGGtlJZM8P8MTIrjbio1jn/QiNjXIJbO28tanz/J7ygJrf6oJ5H4u5jW4ZTXynZr/7+pAyKSOF6iX5FEMbFuWPju+fKZuQNb3acbHnRerlM37Oxq55KaC5RwMTw90Hak87wtPATHaR77lQURSh1QDRBEb7GJQneTlflf7KwGv8YJgQQgiRiFQFR9q3b49Wq6V///5GtxKKdfbsWfr3749KpeKLL75IzSmFEJ+i03Ph6QWDosF045+YTagtDafla6JyMaXqYlZ0HoS91X8zyZyKQv2fdFu+DnCHRr/odqCwcUY/3USl1iVcdesIrWfDsItQbSBoUrHMI6NobOSiDmBxA9jQW5egNr7oKDgxAybYw4q2Cfc96DSUfldvpjHhf61KcX3sABzDlEsQTExfY1VwNnV/P8Q6Lx9FfZLYu0Dt75XlO4anrD+RpgJDI5m27wqWLspgWsdiHY0HsYwta/nQshVQlh39DZOoUHh+TbFtLKALyiZDh4ounBrdAFN10gNB87pV4MHUFlQtlB0TlQmzG8zm2/LfGm3bKW8uBmu2KMqrTzlMYFhkssb6SQvxUxTd0LqSPb/yZluych3lLmv4eMsAw9lDQgghRCJSlXNk2LBhLFmyhDt37lC1alWaNWtGgwYN9Fv1+vr6cujQIfbu3Ut0dDTFihVj2LCPsM2fECL9BD4G96kGRVNMGnA010lMNIZryvNZlGdl69k4Wtob70ulgjzldf9qDdeVxcToyrPymlmNmS4nh5EkqlzdovtXuAHY5tbtABP4GB4amZ0Rl3MZ6L0rwfX45ho1R7/5mSmnsrH69jyDOrX5C6yL/MaoTaMZs/ky1yc2xdxIkt1E1fsJzizW7SoR6+kF3Tar1ZWzVsSHM+PQLUwdvBTlZZ3KUi9baTjf1rDCxlm5W8zHkKMEFGsGt/YYFLudGAgHnirb1x2dop2t8jhYcvvX5jwMCOHbNecJj4ohNCKayOgYzDQmPAwIpUkpZ374vDhFnY3n0elftj8WGgumeRlu1flMo+Go81swkp6t66LT7BxaK3PkD4g2DPSMiBhICJbY2l43yDdiamKavOCITS5l2fOr4FpNWS6EEELEk6rgiJWVFQcPHqRdu3acP3+enTt3GuwEA+jzkVSoUIHNmzenaDstIcQnbO8YiHy3Jn6PaW5W5X6MSbytP1sW6MDE2j8nf8cTk1RNcMs8zG1hjC9MSeAO/d3DSe+ryzrdcp0kGFNjEE425sw6P8Og3MQ0CNuSPxF8YyLFx+5l/dfVqVIwGdu4qjXQewcsqGNYvm8MlO8OFrLz1sfwKiSCJSfvYFtyu6Luu0rfoTpiZBZT1/WfxvbZKhW0mwe/FTAotggzEhgBqDIgVafLn92abUNqpfj4HqV68CL0BUuuLjEoX2KjpnfDKJYeMnxNrz4JYuGxe3xdt3CKz/nJiBcc8dIWByBKG+/vRqGWyfubUX0QXF5vWGZk5zQhhBDCmFRfdbi6unLmzBlWrVpFmzZtyJs3L2ZmZpiZmZE3b17atm3L6tWr8fT0xNXVNS3GLIT4RLy56wnX311EnbEwZ3QeS1TxAiPDyg9jSt3xqd8KNqszt4FRD6Fg3ZQd3/B/8L9XSQ6MxOpfti/DKhif9WdbYhwmZs/ptMCD79dfTFKCbr3cn+kCIfEtrAsp32VepMLozZcwc1IG2kpnL015p8/g3HLlQQ6f0N92y2xQw/iSFQM9toJ19nQfzvt8V+k7ozlINj0ZS4cKeRTlU/bcwONuwAcYWTp6GwSPThsURWl1M8/iJ2P9X/V42zO/T57y8FlXw7Jjf8jvEyGEEEmSJrdk1Wo1Xbp0YcuWLfj4+BAWFkZYWBg+Pj5s3ryZL7/8ErU6mVOuhRCfrNCIKP4+coeLK37Qlx2ztOBrZ2diTKIM2v5c9Wf6le33oYeYeVk6QK/tutwsucom3tbMVrfcpttGmBCoy/ORwpk4fcv05buK3xmtsy78F2bZ3dl0zoeCY3YTGhFltJ1RzX5Xlr28B3tHp2icIuWevA5j37XHmOdQBkf+qPsHJod+UR5UbwxYJWPG0IfQZGLiiVZrfJusRKzp7Y+6fxgtD3KYS6X82RTlXRadTt7P2Kdm9w+Koig0dKniSkyc3c4cLRxTFlA3j7f18YPj8OhM8vsRQgiR5chtXCFEkkVExbDWy4dZh+6QP+QSg811u9DstbZiTI7sRMVZCq9WqZlYcyKtCrf6SKPN5PKUh2+O6+6I+l2DoKdgogYTDajNdHfz03AXH5VKRZ8yfchtnZsfjikvbsxz7sXM6SAhd0ZR6n/72Du8NiVyJWFpjJkV9NgCK9oZlnvO123PWrh+Gj0D8T79lnljkWurorxW3lq4WOaEU7MMK0w0UEf5vfBJ6LIO9v8MXosNy9svhrIdP86YEmCuNmcluejOM4Nyj6en+bNZV7znK4/p/a8X67+pnvKThvjDjmFwYyeozSE6XLdbWOcVkMst5f0mRbxZI9FaFcFYUjy/HzuvvAv6pHimoUN+ZZnfNXD9BPLiCCGE+KTJYn4hMiK/67B1MCysD0tbwpquuse39qfL9OG3kdGs8HhAg+nu/G/bVfzfhDNMsxmATTbW/JgjO1FxkgSampgyve50CYx8CCoVOJeGoo10gYSCtXUXAem0vXHTgk1Z13Kd8aGYRGFT7Fc0tpdpOuM4qzwfJm2ZTeEGUOdHZfmKthBwN3UDFkly4rY/1/2eYuqg3B56Vv1ZsLGP8qBSbXQBuU+RqQW0mA7jX+PdcCOMfaGbPfWJBUZifdbmH755Fago/+7ot/zbt7ii/MyDl/y290bKThYSAL8X1gVGQBcYAXh1H+bXgiubUtZvUkVFGDycH92KcDQsuGm4hMbUxDRl/RtbqhcdoSwTQggh4klyWH75ciPrjFOoZ8+eadaXEFlKTIzujvrBCe8+0MZ1YSVU6AXN/0iTLW4DQyNZcfoBS04+ICDk3YfL0qoH1FZfZr6DHX9nczA4xkJtwcz6M6mRt0aqzy8+TaWyl8K9kzv11tczWm/psoqYSHt+3voDJ+/4M6Nzecw074nF1xuj+94ODzIsn11Bt8WzY6G0GbxQCIuIpvs/nljmV/6d716yO6Y397y7kI6r7Txl2adGpSLazO7T3/LbwZWvLVyZjzJAsuDmz4xq+iu/7b1pUD7P/S71i+dMXiLkyDD4/T0/Sxu/gryVIJuRGRhpIcYwGevvUV9iaxnGm0jDn/1c1kZ2nkkKSwf4fDLs++ld2Z4foWznBHfnEkIIISAZwZHevXunyfZxKpVKgiNCpESgL2wdCPePJt7u3DLwvwWdVoBNjhSd6o5fMMs9HrLp7GNCIqIV9V9pdjIpezbW2xluU2ljasPfDf+mgnOFFJ1XZBzZLbNzrvs5Zp+frdhtA8DENBDbEmPZf78Hn/3ygrPjGmFllsifHBMT+P4mTDYy42VWefjmJOQqk4bPQMT6v53XUFvdQ2P1UFH3Y/7WMM/INqh1fgCN+QcYXdah0ViwxvcmXfIaBgWuBVxjgNtDiua04baf4fbonRZ4cGp0A/I4JHEnwLgBg8TMLAujHugS3KaxqLch+g+fYVpd0Gpxnwr0O2LYbniF4Sk/ibHvzYtroNrAlPcphBAi00tycMTV1TVNgiNCiBR4dhmWtYKwV0lr7+MBi+rrdmRwKpKkQ6KiYzh43Y/lHg84lchuCCVtAjjqeJsj1oaBEUcLR+Y1mkep7KWSNkaR4ZmqTfmu0ne0K9qO1ltbG21jmW8FMeFOlJoQgteYluSwTeSC2swKvr8F04sp6+bXhPaLoGynNBq9ALjiG8garzvYllioqBtbsg8qY4ERMxuol8SLbJF02YtS5rEXw16+Zqajg0HVcPfhrO62nVZ/XVMcVmPqYa788jk25u/5SPfIC7z/VZaX666bdRjfjV3Gl6ikxrnlaKLfbf0eiW5Zlo2F4efL8jnLUy5nuZSfJ2dpZdlrn5T3J4QQIktIcnDkwYMH6TgMIUSC3vjB6i+VgZFsBaDVTLDLq6vbP84w0V3gI1jfA/of0a2/T8Ct58FsOvuYLed98Qs2slTnP/kcLelYzRL3R79yJMrwLqWrrSvzG80nn12+lDxDkcEVtC/IpZ6X+MXjFzbdVuYrMDH3x7b4BKpO92N7/66UyWufcGe2zvD1MVhQR1m3uT/sGQUjroCZdRo+g6zpbWQ0LWcfxyKvModMcYucdN5tZHcagL77U7zrkUhEw3FwcTVdg4IVwRGAqWfHsnPoXFrOPqGo6zTfg13f1kr8Jpb3P8qyUm2g7d/g9oUyKfK2wbqkyNZOyXwiCYiJQXvgf8QdYRRqiuS0ISDikUHTFOcbieVaDfLXhIcn35VJcEQIIcR7yKcbIT5lUeGwthsEPTYsL98Dvjmh247SqSjkq6Lb3rV8D8N2ftfg4HhFtwFvwll26gGt55ygyV/HWHDsXoKBkTJ57ZjR+TOGt33NmscjuB0VbFBf2iYfy5stl8BIFqdSqZhQYwJbWm9JsI11wbl8sW40W88/TrANALk/g0GnjdeFvYTJeeDkrHRJPpyVrDnjg4mlD6Z2VxV1Y+9dMn7QV/t0CYBF2rPLA2U6YKXVsveRr6L60otLXA3ey8S2yuVl154GMWnX9YT7fnBSt6wkvub/bSNcuAEUaaSsj7/bT2pEvUUVL8h/NaYA83u4MfjQYIPyFO9UE0ul0m1dHteNnXD/eOr6FZ+sDRs2UK9ePbJly4a1tTWfffYZ06ZNIzIy8v0HxxMQEMDSpUsZOnQoNWrUwMrKCpVKRaNGRn5G4oiKimLcuHHky5cPc3Nz3Nzc2LBhQ4LtL1y4gKmpKQMGDEj2GJPq1KlTdO7cmXz58mFmZoa1tTVubm6MGjUKPz8/o8fMmTOHzp07U6pUKZycnDA1NcXR0ZE6derw999/J/ia3rx5k9mzZ9O7d2/c3NzQaDSoVComTZr03nEGBAQwZswY3NzcsLa2xszMDBcXFzp27MixY8eMHnP+/HmmTJlCw4YNcXZ2xtTUlGzZslG7du1Ex5mZLF26FJVKRe/evT/2UDKNdN3Kd+/evbi7uxMeHk6zZs1o0qRJep5OiMxFq4WdI+DxGcPyplONr5vWmEPr2bq7fCf+elfuOR8KN+S+Y00OXHvGgWvPOfvwFTGJXFeaqU1oUTY3Parnx8LqKX+d+4XTl5QXqzWjNfzZagNWchdf/KdItiKc6XaGn0/8zIGHBxT1ZtlPMPZCK04/nMPUtjUT7ihnSfjhrm5XDWMOjNP9+2q/bNGZAld8A/m/PaexKapMqjrwVSDlwo3s7tF5le6OvEg//+XKyBsVzbcvXzMr3gySSZ6T2Np6K01L52LvVcOtf/85cZ9COazpVtVIItVrW5VlHZaATc53jxv9AncOGra5uQfqjU7BE1GKigxXfOicbDqEKVrljA47syRsA/4+plbKsrNLdTt6iUxl+PDhzJw5E41GQ4MGDbCxseHw4cOMGjWKHTt2sH//fiwtk5iXBzh+/Dh9+hjZoes9Ro8ezfTp0ylUqBAtWrTgyJEjdOrUiQ0bNtChQweDttHR0fTv3x8nJyemTZuW7HMlxdy5cxkyZAharZYyZcpQvXp13rx5w+nTp5k2bRpLly7l6NGjlChRwuC4qVOn8vz5c0qXLk3VqlWxs7PD19cXDw8Pjh8/zooVKzh48CA2NjYGx82bN4+ZM2cme5x3796lTp06PHnyhOzZs1OvXj2srKy4evUqGzduZOPGjUyfPp3vvvtOf0xUVBQVKujy29nY2FC5cmWcnZ15/PgxHh4enDhxguXLl7Nv3z4cHByS/+KJLCtVM0c2btyIq6srX3/9taJuyJAhtGjRgt9//51Zs2bRrFkzhg0blprTCZG1eMyBC6sMyyr2garfJHyMSgX1x4JLFYPiV2v60fGPbUzefQOvBwkHRlwdrRjZpBhHR9WmTY3XLL0zns67OnP6qTIw0v91IH9X+FECI0LBUmPJn/X+ZGnTpUbrVSZR7Ar8hnb/rEi8I2snGP868e/5f5votrSOCE24jTAQE6Oly0IPLPMZyT8BdAsKUhYOOAolW6bzyAQOrvov+wUGUcxIkKrt9rb89WUpyrool6f9vOUKG8/Gm5kVEQJnlDllKFTP8HGuMuAWb6vjpxfSbGvfK48Nc1ldj3GlSNESvI1+q2jbrmg7RVmy5f5MWRb2MvX9ik/K1q1bmTlzJjY2Nnh6erJv3z42bdrE7du3cXNz48SJE4wbNy5ZfTo7O/P111+zYMECvLy8mD9//nuP8fPzY/bs2ZQqVYrLly+zefNmPDw8MDU1ZcKECYr2s2bNwtvbm1mzZqXLxfvz588ZMWIEWq2WpUuXcvnyZdavX8/u3bt5+PAhTZo0wc/Pj+HDhyuOXbt2La9eveLChQvs2rWLNWvWcOzYMe7evUvx4sXx9PTk119/VRxXpkwZRo4cyapVq7h+/To9evRQtDHmu+++48mTJ7Ro0YKHDx+ya9cuNmzYwLVr11iwYAEAo0aN4vFjw99tFStWZP369fj7+3P48GHWrFnD8ePHOX/+PLlz5+bMmTMGARUhkiJVwZFt27bh6+tL48aNDcpPnjzJ3Llz9ZHKSpUqodVqmTNnDvv370/VgIXIEu4e1uUQiSt/LWj+uy4AkoC3kdEcuf2SKdbD8TWx5oXaBF+NmleaEAZbz8fE4hEmlg9RWz747989bOwfUK+cH0NaB/BFo0tciZ7OF7uaMPTwUI48OqI4R46oKP5+5se3Udao3ToYGYUQOhWdK+LVzQtbU+N3ge9oplHyr6FEJzaNSaWCZr/BQI+E2zw5p9vlxi+RZQVC788Dt3hrdQK1xTNF3Ubfp9jHfT8K1IbRPpCn3IcbYFZWqa/+SxXw77PnRpt13d2V9V9XN1o3csNFlns8eFdw+N2U9hjgrqmG6y1+43Z4APcC7/Hq7Su0sUvU4i9FAThvJFlrMkVExTB+6S6DskjUTG3vRmS04dT36rmrUyNPGmwFb2YFXeLl07l7WAKpmczkyZMB3ayN2JkEAE5OTsydOxfQLRMJDFRuk52Q6tWrM3/+fAYMGEClSpUwN3//zlyXL18mIiKCbt26YWWlm7VUokQJ6taty9WrVwmKE3T28fFh3LhxtGzZko4dOybUZaqcOHGCiIgISpUqRa9evQzqbG1tGT9et+Taw0P5t7VWrVqKWSGg25zj559/BjB6PdevXz9+//13unbtSokSJTBJYm6qw4cPAzB+/HisrQ1vuA0YMICiRYsSFRWFl5eXvlyj0eDt7U3Hjh0V74+bm5t+Ns7atWuzxPIakXZSFRzx9vYGoF69egblS5botnXs2bMnFy9exNPTk59//hmtVsvixWm4flWIzCj4OWweAMS5QHHID52WozXR8PLtS877nWfL7S3MuzCPcSd+ofOWb6i57AsqLW3E0FPNWR0xmqb5s9PA1YWm+fLSxiUPf7q+wrrg31gXmIdVgfn//VuIKs98zob/ybLbv7P48mJOPjlJcESw0aG1D37DVt+n1Al7q1vao05l0jyR6VloLDjV9SR9yxif/aFxdKfcirI8DU54hyQAnEvpZpE0S2T68dxqcHNvygebBVx9Esg8z31Y5NqmqOv/OpDiEf99iDS1hmEXofdOsEgkga5IWzY5DHYCso/R8leQcjv1O6/v0HFnWzzHNDDazf+2XeWnLZfRarWE+nozPZsDbgVd+aygK21d8tDp2t+0396eNlvbUGddHcouL0uLzS24ozFRLkd55GX0HMnhfe8FW8wM819ZW1pgba5h133DoImrnStpJndZZdneUWnXv/iofH199RfMXbt2VdTXqlWLfPnyER4ezu7du9N1LAEBur9hjo6OBuXZs2cH4M2bd9twDx48GJVKpQ/epAcLi4QT8cfl5JS8hMsajW5xXFICRkmVHmMtX748AGFhYfj7+yf5uAkTJuhyqE2YgI+PD3379iVfvnyYmpoq8nps3LiRpk2bkiNHDszMzMibNy/du3fn2jXlrmIABw8eZOjQoZQrVw4nJyfMzc1xcXGhc+fOBoGf+KKiopgxYwZubm5YWFiQI0cOvvjiCy5fvpzoc9mwYQONGjUie/bsmJqakj17dkqVKkX//v25dCmBvGIidcGRFy9eYG5urvhm3b9/PyqViu+/f3cHYsSIEQCcPp1Akj0hBP/f3p3H2Vj+fxx/ndn3zToMxpYo+5olyyS7JFsitPmhRaG0+EYbFZFEZStZooSEVEK2ZC2yZGdsMxhm3+/fH9MczpwzY/YxM+/n4zGPOtdy39d9rjnmnM+57s9FcjKseAaiQgFIAg66ezO36aM8s+1VWi1tReulrXl83eP8b/v/mPnXTFae+I5D4dsI519MTlcw2ae/40x2tfe9l+XBF5lw5RpeyQY4e0HDQbfvKPKfkQ1HsK7nunTrH/y+De9tn0ZicmL6BzGZoOlQeCMUqgbZbrOkL/ydfgK84swwDLrPXItbpdlWdRUTEngu7L9vVoftgNcvpOyIJfnPwcni4QNXzzOivPXv++nw0zywsglrXmhgVQew9O/N1PmqHk0dLvGlz+1zeJyNOMvDq3vRPLAiYbd+4xsfATs+zdo13CIiNoE356/EzmS5Qsy3RGmOXjvKmpOWwZEc71RzK1uBPSVlLTL27dsHpAQkKleubLNNo0aNLNrmlcDAQAAOH7ZcwXj48GGcnJzMn5WWLVvGjz/+yLvvvkuFCnmXyP6+++7D29ubQ4cO8dVXX1nURUZGMmFCym5ktlIjpCckJIT3338fgO7du+faWDt16gTAhAkTiI62XNk1e/Zs8y1S991ne7WcLceOHQPAycnJKmCV2f7169dn7dq1NG3alO7du5vnMDExkb59+9K7d282bdrEXXfdRY8ePShVqhSLFi2iUaNG/PST9Rc1//d//8cXX3yBnZ0dLVq0oGvXrnh7e7Ns2TKaN2/O8uXWtzAmJyfTu3dvXnzxRf79919at25NUFAQe/fupUmTJukGVd566y369OnD5s2buffee+nduzfNmjXD3t6euXPnmlfriLUcJWQNDw+3Wv50/vx5goODKVu2LLVr1zaX+/n54eXllW5mZBEBtk3DOLmJv5ydWOLlyRZXVyLs7eDfxfk+lBq+NehYuSMdK3Ug4JvH4dZliU2e1rfJkmUBngH89fhfdF7Wj/Ox1rfALDk2lyXH5jLnwTk09c8gyaqDEwz8Hk5uhgU23qB9/xQYSVC3Xy6OvvAbOO8P3KpNtFm3/PwlTI2fStm9JKPtYCXveVt/YBpqV4qtperyV+hfVnX9fn6Q+1rW4889zTA5RODouwMH95PZPn1EYjT3Vwpg+uVQ2kbHpBTu/AzuG5Fxx3Qs+fMsLljnTvFr9TS/XbH+5rOEa4lsnccmJ/eUnEU7b8kZUUTyjgQtCyIqMaqgh5Ft7g7ubOizIUfHOHXqFJByu0d6UgMQqW3zSr169ahUqRLz58+nS5cuNGvWjDlz5vD333/TvXt3nJycuH79Oi+88AJNmjTh2WefzdPx+Pn58dVXX/HYY48xePBgJk+eTM2aNYmKijLfSvPuu+8yZsyYdI+xePFifv75ZxITE7l48SLbtm0jLi6OQYMG5Woujw8//JBDhw6xZs0aKlasSLNmzcwJWY8cOUKXLl2YPXu2edXK7RiGYb6tpmvXrtla5bJ48WIGDBjAnDlzrPq/+eabLFu2jKZNm7JkyRKLwNx3331Hv3796N+/PydPnrTIJzN58mRat26Nr6+vxfFWrlxJ7969GTp0KJ07d7ZIHjxr1ixWrlxJmTJl2LhxIzVr1gRSAjTPP/+8zdVHcXFxTJo0CQ8PD3bv3k2NGjUs6s+cOUNMTEyWn5PiIkfBER8fH65evUpERASenp7AzfvGWrSw3oXAMIxML50SKW7iz2xj/c4pLCpXhn9ysFzRZDji7uCDn6sXns4uOEVfw+naKZwMAyfDwB4TpmpB2Dl7YzKZMJlMuNi7UMK1BCVcSlDdtzp3+92Np1PKa5oTG1NyOqRycIWmNnbLEckEO5MdP/VdxtTt3zLv2Fs22zz181MAvNH0DR6565H0t/Ws0hpePgUf2PjGcMVQ8K2snWz+s/TPs+yNfwd7N+v8LovPX8Kl7yK4u0sBjEys2JgHU1I88zvOp++PfTkWdsyq/uDV/bgF7s/SaRqUbsDekL3p1j9fphTDw64z7Ho4RIel2y4jxy5H8N7aIzQwWa4Ii/C7F8+a3Yg7vMiqT/equfeNNJCyw9utwZHYG7B7HjR6InfPk8+iEqOISii8wZHcEBGRcgtw2i9qb5WaOyPcVqLpXOTk5MQnn3xCz5496dChg7nc39+fqVNTdhB85ZVXuHLlCj///LNFPo7o6GhznpLc9NBDD7F582b69u3LwYMHOXjwoLnuwQcfpEWLFpgyCIb/+eefFqtOTCYTL774Im+++SZOTk7p9suqMmXKsGnTJoYNG8bChQtZs+bmarIKFSrQrl07SpUqlenjTZgwgR07duDh4cGkSZOyNSY/Pz9mzJhhFRi5du0aU6dOxcXFheXLl1O+fHmL+l69ejF06FBmzpzJwoULLYJgPXr0sHmuHj160Lt3b5YsWcLGjRvp3LmzuW7atGlAyu0+qYERSLm96aOPPmLFihVcumSZPyw8PJyYmBjq1KljFRgBqFTJxo5mYpaj22rq1k3JBD5vXkrGe8MwmD17NiaTibZt21q0DQsLIyIiAn9//5ycUqTISTaSWf7P1zz42//xWim/DAMjhmEiOb4EiZE1iL/akthLD5FwYSA1ksfyTJXPWdV1I38N2sOOAb+x5pGVfNP1GxY8spY5lGXm5VCmhVxhSkgok8+e4INWE3n//veZ1GoS45uP57n6z9G/Zn8al218MzCSnGyRzA9IuZ3GI/N/pERsebF5b6bctzTDNu/sfIf6X9en3bJ2zNg3g7PhZ28mjkzl5gevXbB9gHkPQmLu32ZW2Jy5EsWbO1/G3s16y9QJoVep/cgCBUbuJI6u0PtLy7Jt03CMvs7ybsvpVyP7K6IaXKhDqSvT2dBzF191+ooDgw6wue9mnOxsf9CZ6evDR74+KbfWHP4xS+eKT0ym/dTfAXAzWb4OPcunvMk/E37Gonx0o9GUditNrjKZwDnNSscNb6X8fRPJRd26dWP//v289tprPP3003z44YccPHiQKlWqsHXrVmbPns2YMWOoXbs2SUlJ/O9//6NUqVK4u7vj7e3NiBEjrG4ryYlZs2Zx3333UaJECTZt2sSNGzc4d+4cn376KX/88Qft2rXjyy+/TLf/tGnTMAyD2NhYjhw5wuuvv85nn31G3bp1082rkR1Hjhyhfv36rF69mpkzZ3Lu3Dlu3LjBpk2bKFOmDKNGjaJz584kJVnnX0prwYIFvPXWW9jZ2TFv3jyqV6+erTE98MADeHtbr5DeuHEjMTExtGjRwiowkio1F+f27dut6i5cuMDs2bMZNWoUTz31FIMHD2bw4MH8888/ABw9etTc9vz58xw/fhyAAQMGWB3LxcWFPn36WJWXKlWKwMBA/v77b0aNGpWrc1Uc5GjlyOOPP86GDRsYPXo069evJzQ0lD179uDu7m41WVu2pNzjmXYvbZHi7OT1k0zYMSHl27t0QpVJsf4kRVUlMboaSdGBkOyCt6sj7e4uTftaZbj/rlJ4OGfwUrZ3gK7TYE4Q5iSvwbtStgpucZvttQ98C+d333xs5wjNn8vCFYqk78G7avGD33YenPMBLv4r020XGhPK539/zud/p2zpV96jPM3LNWfIPUOo4FUhZen8qH9hyl3WnWc0guf3g5193lzEHe5qZBztv3oF55L/WNU9eiOCni3egBqdCmBkkiF7G0HyHTMwtZ/A681ep0uVLgxcl7ltMltHx/Bu6BWSktxpENcfiKbJuym3M/z6UmuqlfZjz8A9/B78OyM2WN86M9/HixJJSQxaOQzu6pjyNyUTRixOWZXiQhwLndLczmXvxNFrR1lyZIlFsbOt684N5evDyU03H8eEQVIc2Lmm2+VO5+6Q/mqJwiA3xp+6aj0qKv0VNKmJUL28bp93Jzfcc889VtvcxsfH88wzz1C1alX+97//ATBmzBimTp3Kk08+yUMPPcSWLVuYPHkyly5dspl7Iqu2bdvG8OHD8ff35+effzZ/0Pfy8mL48OH4+fnx6KOPMnLkSHr06JHhdsLOzs7UqFGDt99+mzp16tCnTx8GDRqUYRLRzEpMTOSRRx7h+PHjLFu2zGL3ntatW/Pzzz9Tq1YtfvnlFxYsWMCQIUPSPda3337LE0+krAibPXt2jnYCSs0hk9bJkym3LG7YsCHDVTeQkpvzVhMmTODdd9/NcPecW1c4pW5dXLJkSZu7BwHp5tpZsGABvXr14qOPPuKjjz7Cz8+Ppk2b0r59ewYOHJjlRLzFSY6CIwMHDuSXX35h4cKF5sQzTk5OzJgxw+pJ/+abbzCZTLRrZzuzukhxEpcUx8rQlfz07082E1DaJ9sTc70JCWH3kRyf8i1aSQ8nOjXxp1PtsjQO9MPRPgsLvwIaQrPh8MctSfV+ezfljW4p6yV3KYOMhF8tdxegyTPgHZD584rcRuWSnuwZ+T/qjG+Cc9lVOPnuvG2f85Hn+fbfb/n235TEqw9VfYjRjUbj8/RGmG25apHrZ2HPl9D4SesDFXHJyQZd5n2Mc8nNVnWB8QmM9bgb7hteACOT27L173LYafP/1itdjwODDnD46mG+OfoNMYkxXI+9jqO9I3FJcXjZufD4rqXUi7uZ6+OgYf1m+IGPUn43Xu5YgydatODXXr/ywHcPWLWbXMIXz9Cr9Iy5Bh63X9nxzo+H+OVQyjbETe2OWDewd2L96fVWxa4OeRSs6DELPqppWXbqd7irg+32hUBO83UUBakfYM+dO5dum9S69D7s5oeJEydy+PBhNmzYgIuLCxEREXz66ac0b97cvItnt27dOHv2LEuXLuXff//lrrtsBPuzIHVFSOfOnW2ugOjVqxeDBg3ixo0b7Nq1i/bt22fquI888gienp7s3r2bc+fO5Tip7M6dOzl06BDOzs707NnTqt7X15dOnToxf/58fv3113SDI99//z39+/cnOTmZzz//3Bwkya5b837cKvm/FWfVqlWzmULiVrcuCPj+++8ZP348Hh4ezJgxg3bt2lGuXDlcXV0xmUy89tprTJw40Xp1bDa1atWK06dPs2bNGjZv3sz27dtZv34969at480332TFihUEBaWT2L6Yy1FwBFIiU8888ww7duzAy8uLoKAgqlWrZtEmISEBDw8PHn/8cbp27ZrTU4oUaoeuHuKV31/hdPhpq7rSiYk0C/Nh0bWXINkNT2cHujT2p1vdcjSt7IdDVgIiabV7A/79Ca6dSHmcFAcr/g+e+AkcbHxb9/sHEHHx5mO3EtD65eyfXyQdXi6OHH+3C03fc+Hq5W44+uzEufQ6THYZ7Fxzi1UnVrHqxCpalG/Bp90+xn51mhVRa16CwJbpBwKLqDd+Wk2U99c265ZeuITdS9ZBE7lDlKgK9QbA/oU3y45bfxiuWaImE5pPsO5/ehtstZz7LxLTf//1wU9H+eCnlOXcU/ouZ/zfj1i1ebNUCcqf+pmmta2Xd6dKSErmiS93seXYza0zfbGxNXzl+4mItE7K3KRsk3SPnSNe5aBcA8v8WYv7wOuXwVG58Aqr1O1ar169yqlTp2x+i757d8rq1wYNbO/qlNeOHj3KxIkTGTx4sPkL4kOHDhEfH0/z5s0t2rZs2ZKlS5eyf//+HAdHzp5NuY0yvRUzDg4OuLu7Ex8fz7VrmU9SbGdnh6urKxEREYSEhOQ4OJI6Tjc3N+ztba/wTA3upDfOlStX0q9fP5KSkpg1axZPP/10jsaUkdTrrVGjRoa3JKW1bNkyICUJ7jPPPGNVn7q7zq1Sb9u5cuUKkZGRNlePnD59Ot1zurq60qtXL3r16gWkrGR54403+OKLL3jiiSc4c+ZMun2LsxzlHEnVsmVLxowZw9ChQ60CIwCOjo588cUXzJ8/P93lPyLFwarjqxiwdqBVYMRkGDx6I4IpZ02suvISdcv588Ejddj5ehCTHqlDi2olcxYYAXByS/n2jFuWAV7YC98OhsQ0Owkc+A62fWxZ1vZ1cPXJ2RhE0uFgb8fuNx6gXY1yJIS1IPLoO0QceZuYC71IjKqKkXz77T23nd9GvYNT+CXgHqy+e1n+JOTSNzKFwde7/2R16Os267adOYdbj8/Bs0w+j0qypMXzlo/jI+CPz2y3vVVCLHzZ2bKszL2MGf06Dna334lo1NJjRPw7zmbdU3vf52K4de4agH1nw6j++jqLwAiAY5pkrPhWxrjnYVadWGVR/HLjl/H3yMO8dF7lrMuuHs+780meCwgIoHHjxkDK7iJpbd26lXPnzuHs7GyR5DK/GIbB0KFD8fb2ZsqUKeby1Nsx0t4OlPr4drdrZEbqB+udO22vxjx69ChhYSmJlrPy2ezgwYOEhIRgb29PlSpVcm2cYWFhNgMEcPMabI1z9erV9OnTh8TERGbNmpWlrYmzIygoCCcnJzZt2pSlHVhTAzu2kqGGhITwyy+/WJUHBASYn2Nbv99xcXF8++23mR5DqVKlzLv4nD171jz/YilXgiMikrGEpATe3vE2b2x7g4Rky0DEXXHxLLx4meFX41lT7UOWPPsgq55tSZ/GFXBzyvHiLksVm0LzNNvHHV0L3w2BhP+29Tq+AVamWWpfpjY0GJS7YxFJw2QyMW9wY4a1qZpSYDiSeKMRMWefJvLo20QcfpdRdd6nfun6GR7nJccIHvcvQ8ytbzAvHYCDOb+PuzA4cOESH/xj+zai388E4+VZAWpn/15sySfOntZlBzLxRvjS39ZlJapRwc+N4+91Zu+49rSpcZuk2knuRB63vVLwwRVd+OnQCTYeDeHHvy8wYM5OAseu4eGZ1skHAcqS5tveev3NtwLd6i7fnH1TflstRlqXXbbOxSOFy2uvvQbApEmT2Lv35sqgq1evMnx4ynuZZ5991urWkhUrVnD33Xfn6a0Fc+fOZfPmzUydOhU/Pz9zea1atXB2dmbFihXmD83R0dEsXJiyUix1RUyqNm3aYDKZGD9+fKbPnbpaYPv27Xz44YcWt2uEhITw5JMpfyPuuusuGjVqZK7bunUrq1evJjHReuXm3r17efTRRwHo3bu31Za02XHfffeZAyRPPfWURZ6O5ORkJk2aZN56OPXcqdauXUuvXr1ITEzks88+y/PACKTsrPPcc88RFRVFt27dOHDAejvyuLg4fvjhB44cuXlLYepOM1988QXx8Tc/B9y4ccN8e5MtI0eOBFJ2q7n1eElJSYwePZoLF6wT0p85c4Y5c+bY3KFp9erVQMrtSvmVh6ewyeVPXiKSVkh0CCN+HcmRMMt/QB0MgxFhNxh0Ixw77Lj00AJeb5APiRHbvgEX9sPpLTfLjvwIH1QF30AISfNm0dUX+nyV6SR8Ijn1Sse7Ke/jyhsrD6apsWf8UoN3H36bBZ0qcejqIfr+2NfmMfa7ONMksAJbzgTjk7orxfInoVaPIv27HB2fSJ9VT+NgY1fI74Iv4pucDL3ng52+G7njefpD6VoQcstOA6FH02+f6sRv1mX1byZv9XN34sshTUhKNlhz4CLPL9ln8zBGgh/1Trdhf+Amq7rRO3sT+e//wMh4RVcF02VGOX5nWWjvyLbz26zaeqfdUSa3VWgM9zwM/6y4WbbiGagWBO5KTlhY9ejRg+eff57p06fTrFkzgoKCcHd3Z8OGDVy/fp0WLVrw9ttvW/W7ceMGR48eJTY21uZxmzVrZv7/1A/su3btsigfN24cXbrY3unr8uXLvPzyy3Ts2JH+/ftb1Hl4ePDSSy8xceJE7rnnHlq0aMHevXs5deoUjz76qNUq/NQ8F46Ot19Bmapz584MHTqUzz//nJdffpkvvviCOnXqEBERwc6dOwkPD8fHx4evv/7aYlvh48ePM2TIEHx8fKhfvz7+/v5ERkZy6tQpcyCgRYsWzJo1y+qce/fuNQekAE6cSLmN+/PPP+fHH2/udrVixQrz7qWOjo4sWLCAbt268fvvv1OtWjWaNm2Kp6cnf/31l/kYr732Gq1atTIfIyQkhJ49exIfH09AQADbt2+3uTsMwOTJk3M1AemkSZO4ePEiixcvpl69etStW5cqVarg4OBAcHAw+/fvJyoqinXr1pnzjowcOZIFCxawdu1aqlSpQrNmzUhISGDz5s24ubnxxBNPmHd/vdWIESP45ZdfWL16NXXr1qVt27b4+vqyc+dOLl68yLBhw6zmIiwsjKeffprhw4dTr14984qbY8eOsW/fPkwmEx9++GG6tzEVd0X3HaLIHWD3pb2M+PUFopOuW5SXTExiSsgVGsT9t71hp/cpnx+BEUi5v7r/UljUG87c8gY1Ico6MGLnCH0Xpdz/LpKPBjSrRKUSbgyc+6dV3esrDrL+n8vMebwRBwYd4EDoAfqv7W/jKNCqUgA/nz2Pf+oWgL+9De1t5GgoAgzDoM28kTi4nbaq++hyKDUSEuDeXhDQyLqz3HlMJhi8Bj64ZSl5fATsmJl+It2rJ2BTmp1hqj0A1a2TrNrbmehetxzd65YjMi6Rd348xDe7LBNbbonpyLsXNzEpzd0uJrsEXMp9S+x52687gAHNKvJWyRPwa5oKB1cOnLf8ssDPxS/vV44AuNtYMXN2B9Tslvfnljzz8ccf06JFCz799FO2b99OQkICVatWZezYsbz44os4Odneqjojtm5HCQ8PtyhPuxvJrUaOHEl8fLzNIAKk5J7w9fXl888/Z9WqVZQpU4ZXXnmFt956y6JdYmIif//9N87Ozja3c83IZ599RqdOnZg7dy67d+9m9erVODg4ULlyZTp06MBLL71EQIBlkv02bdowbtw4tm7dyvHjx9mxYwfJycmULl2abt260a9fP/r162cRUEmV9vlJFRwcbN55BVJWVtyqXbt2HDhwgI8++ogNGzawdetWEhMTKVWqFA8//DDDhg2zShgbHR1tPk5wcDBfffVVus/D+PHjczU44uDgwKJFixgwYABz5sxh586dHDx4EHd3d/z9/enWrRvdu3fn/vvvN/epXLky+/bt44033mDLli38+OOPlC1blkcffZTx48en+3tiZ2fH999/z/Tp05k7dy6bNm3Cw8ODli1bsmLFCvbt22fVt2rVqkybNo3Nmzdz8OBB1q5di2EYlC9fnscff5znn3+ehg0b5trzUdSYjNxKiysFJjw8HG9vb27cuKElUneQH4//zGtbX8FIc791vdg4poRcoXTqh7WGg1O22s2Fe0yzJC4SFvVKeWNoi50jPPwZ1O6Vv+MqpHbu3EnTpk0LehhFTnBYNC3f35hu/e9j2lKxhBsxiTE899tz7Lxo+/7qVcEXqJLw32tx3BWwz/gbuMI2n0nJBp3nzOCC8xdWdS9cu85TN/5bXvviIfAun8+jK1iFbS6tvF0Kkm65HdO9NIyxfW8+e76C1WlylbQeC21fzfTpQiPimLPlJJ//nrJl5f8cFnC91B/M97F+fxFzvg+J4ZaJLu+/qxTT+tbDz90JNrwFW6ZY1C/t8hbvHJpjUbbm4TVU9KqYqfHlaD7P7YK5aQJFLV6A9m/Zbp/Lsvp+LTg42OrDqxQv27Zto2XLlrz44ot89NFHBT0ckUIrs/+eFrt1tWvXrmX8+PF069aNcuXKYTKZMJlMFhHNrAoMDDQfx9bPrUvwpHj4fO9CXt062iow0jc8gnkXL98MjFRqCZ0+zP/ACICzBzy+CjpOgvK3fJPs4JISsBm+Q4ERKXABvm4cebtjuvX3f7iRTzYcw8XehdntZzOume1Ekg8FlOOE43+LJdPuZlMEvPjdbzYDI3Vj424GRpr+X7ELjBQJldJsFxkVAtE2dm2Ij7YOjECW88uU8nTm1c41OT2pC6cmdqZru1a8EHadWmm+7QVwLb+Mbk1iGdq6CkufacapiZ1Z8ESTlMAIQGKaPvc9y9KL1rsk5fktNakqNIZ6j1mWbfsYLh+y3V6kgP388894eXnx+uu2E2yLSO4qdrfV9O/fP92kNzn1yCOP2NxmqWpV3ZJQXBiGwbjNH7HqzJcWm8LYGzD+ylV6RN7MTB7uey9e/b8Bh6wv98w1Ds7QbFjKz41gCD2Sst2hm9/t+4rkExdHe05N7MywhXv56Z9LVvVTfvmXKb/8y08jW9GnRh+qeFdhyPohVu16BJTjm/MXuWf/Iug+o2DzboQc/m/VlinldRjQBEpa7/aWGTM2/cXGmJE26z6/lJpN3wRBb2br+FLAHpkDH6Z5HzG/c0oA+9bA+v5F1n3bjcv27xWkJEku3fIJ+P11Fl24TKtKAUSmed1sihjPho4bKO1WwrJzTBjsmGFRdLVsLY7t/8GirHbJ2vkXHAHwr2v9XM3vBGO1raXceSZMmMCECUXzVlCRO1GxC4707NmT6tWr06BBAxo0aEDp0qVz7diTJ08mMDAw144nhUtSchJPrXmV3dfWWZS7JMOMy5dpGnvLN2iVWnL0rjE0trUbQUHxDkj5EbkDmUwmPhvYkB//vsCzi20nkOw4bQvODnZsHtOWRZ0X8djax6za9Cvvz/Lgi9y18OGUlVP57dgvKbezpafzZGj0ZKYDN78eusTMI69i72pdtyr4Au6pd842G56ynbcUPu4loXxDOL/nZlnoYQg7BX7/baWZlABrR1v3zY38Mk5u0HkyDmtHs+7cBVpVsv47EfRtEHsG7MHJ/pZg//ZPrNq9dGKpVdmMoBlWZXmq+oOwLs1OPLHX83cMIiJyRyp2t9XMmzePV199lQ4dOlCq1G22shPJpOj4GLote8YqMOKZaGLBxYuWgZHAVvDYMpIdbHyaEZEMda1Tjn3j2qdbH5eYTLOJG+g+5RzP3T3NZptHAvw5dW4rXDuVR6O0ITkZFvfLODACKR9wJ1dPyQl0G9uPX2HYDzOxdz1nVffZpZCbOVYAOryb1RHLnaTuo9ZlM+9LCYoAbJ1qXV/6Hgi837o8O1xTtuz0SU7mywuXbTbpvrK7xXahXD1uUX/J3p69EZavuQCPAPxc8nmlol/llJVjt3LPvS/KRESk8Cp2wRGR3BYZF0XHpYM5F2e5q0bpeDuWXgymZnzCzcIqbaD/MnByz99BihQhvu5OnJ7UhQnd78mw3XsrYok+85TNuu4B5Ti17NGUoEVeMwxYNhD+XXf7tgDRV2Bieet8DbfYf+46AxctxcV/hVVdr/AIWsTcsj1lwyEFk9dIck+Tp8G7gmVZYiysfw2C98BGG8GvXvNy79axqu3M/9swLo43r1y1anI+8jydvu9EYvJ/QbnYcHNdMtCnYiWrPo/f83jujC+raveGkrfsjqO/ySIiQjG8rSYvzZ8/n2vXrpGYmEi5cuVo3bq1xTZOUvRExUfR9dsnCEu2TOYWGGfHl5fOUuLWD15V20G/xeCoFSMiuWFQ80B61CvPwHk7+TvYdi6ppOhqRJ99EreKc63qurtG8X8rpuNcujt2JhMO9qaU/9qZOH0mlvOOwbg7O+DqaI+PmyOVSrjj7ZrxLjc2/fY2HPkx6/3eKQ2vBkOa2+8OXwynx6wNeNb4zKpL2cRExl0Nsyzs9EHWzy13ntavwA/PWpb9+UXKT1oVmkKpGrl3bjc/6LMAlqUEM3pFRHHK0ZEF3pY7rpyPPE/9r+uz474P8TiZssuUAbxZ0o8wLBOUV/SsyKN321gRkx8cXeCpDXB6K8RFKDgiIiKAgiO5Ku3e5ACNGzdm8eLFVKuW/YRoaaXdWSciIiLXji2ZFxUfRffvnuBqkmVgpHaMPXMun8bt1uXF1R6AvotS3pCJSK7xdnPkh2dbcuF6DE8v2M0/F8Kt2iRFVU83QPJZ5FxiDseRGHmv9cH3/mVV5OPmiJ+bE4nJBg/ULMOQFoFU8HMjOiGa4MhgrsVew8HkgINdyo/HpYNU2jIFq3Ubdo4pCSCd3CEhFr7pDyc2WI9hYoBFgOTg+Rt0/WQrboHW1wKwOvii5ZLQZiMKNumz5J76A2D3PLiw9/Zth6zL/dVCXpa5RkZfu85BH3/2GlFWTe/bMYb3PNzoEhnN02VL86er9d++/6v7f7k7vqxy8YK7OxfsGERE5I6i4Egu6NKlCy1btqRJkyaUL1+eS5cusWXLFt544w127dpFmzZt2Lt3b64lf61QocLtG0meik6I5uHlTxKSYBkYaRBjz+xLp7D4KFL9QejztQIjInmonI8ra55vRWxCEhPXHuarHZY7TyRFVSf+7OM4VVxg1de1wkLiw5oSd6kbt/uzeD06gevRKbfKzf9zD0vOvoGDx7GMB1e5IgDzLl6mcWwcuJWAUf+C/X/ncnSBgd/D+tetdvcAYFZzeH4/vx+/xuPz/sS5zEqbeUYWXLiEy61BWYB22v6xyDCZoP/SlJw0GXl8FdjZ5/75/etYDgeYd/IwjzfqxN9X/7Fq/lqpkryWTmq3NgFt6Fa1W+6PUUREJAdMhpH2ndSd6eWXX+aHH364fcM05syZQ8uWLdOtN/33zcq5c+cICMjdnTquXbtGw4YNOX36NC+88ALTpk3LleOa0vk2aMOGDbi7a2loXotLjuN//07lKpbJ5upH2TEn5LRFYCSsdDOO1XsDw976m9uwsDB8fX3zeLSSXzSfd56w2GR+ORnDwdAEwmKTCY1OpoH7T/xbcVO6faJOjSA5Nv0AtMk+EqeSv+Lk90e2xzWkdH+a+7a1+W95xSNf4H/qO6vyIx5N6XjlBZxKbsC51C9W9aOvhjEo3HIV4emaw7kc2CPb4ywqitpr05QUT73Ng3CKs8778U+zaUT61sqzc7uFn6D2tmEWZSHl2vFWmfJsvr4508eZWm0qng7Z262tMM9nVFQUQUFB3LhxAy8vr9u2Dw4Oply5ctgV5LbjIiKFnGEYnD9/PlOf9QtNcGTAgAEsWrTo9g3TWLduHR07dky3Pi+DIwAff/wxI0eOpEqVKpw4cSJXjmnrtppatWpl+o+tZF90QjS9VjzJuZiDFuUNo+2Yffk0FtkIanSB3l+mu6R9586dNG3aNM/GKvlL83nnS0o2OBcaRtz8e+jlXzLDtlWSO1OjRBtiEyA09hynY7cR6ZCJ2xmyYFnXZdQsUdOy0DBgxVD423rL02c8m7Cj5CWr8mbJjsw+Y+Pvyxsh4OCcW8MttIrsa/PayZScGUZySo6R0jVv3yenEmJgYgVITrAsfyOEjRe28/zG5zPsXta9LKseWoWbY/a3lS7M8xkeHo63t3em36+Fh4eTlJRUaINBIiJ3gsjISOLj4/Hzu/3uaIXmtpqFCxeycOHCgh5GltWsmfJmJW1AIyfSBnHCw63vsZfcF50QTZ+V1oGRRtF2fJE2MFKzG/SaD/bZSN4oInnC3s5EYBk/eGY7Gz9tQIeA8sTb2V6Jd9JuLSfD1t4syORfy8ToQNwTnGjlsJ9f3TP+ANjnxz5U8KzA992/x8Xhv9vuTCbo+QVEX4PjKStEDOADPx92eFsHRgCmnz1pXfj0RgVGijq/Kik/+cnRFVo8D1umWJavGErb3l+yo/kUPln3DIu9PfFITibylhUP45qNo0+NPvk73kLO09OTS5cuERoaire3N05Oyh8kIpJZhmEQFRVFWFgY5cqVy1SfQhMcKayuXk1Z9urpmb3lo3JnSEhK4PEfh3MmOk1gJMrEFyFpAiO1esAjcxQYEblT+QZSsmwDdp3ZzRIvDyaVuP03CRmKK0fUxYdIjknZqvQLx/doZX8FgGiTiem+Pizytv034FzEORovasyjdz/KmMZjcLRzxDAMPi7zDv2O7cbL7jr9y5XhRDofijaeCcY17QLQZsOhfIOcXZNIeoL+Zx0c+WcF3N0Vj+VP8irw6rWUHZOSALsRuzGVuk2eFLHJZDLh7+9vfnOfkJBw+04iImLm5uZGuXLlsLfPXC4uBUfy2DfffANAkyZNCngkkl1JyUk8++sYjobvsShvHAWfh5yxDIzc0xN6zr6ZaFFE7jwmEwxZi907pXksPJI+4ZE8X6YUW90yv822m4MbnwZ9SsMyDTGZTITHJjDhh0Mk7F9GK/ubQVQ3w2DstTBWXxxHaImDOJf61ebxlhxZwpIjS3A1leJacDtIdmJO2ZqY3NJfdbj1TDDet24XDuBbGR58N9PXIZItzZ+D7Z9Yli1/0qqZfdUgUGAkx9zd3ZVTTkQkH+gTXCYFBQVx/vx5Jk6cyMMPP2wuX7VqFQEBATRs2NCifUREBOPGjTMnkX3ppZfydbySOwzDYPz2d9l+yXKLzUZR8HnIWcvASO3e0OMzBUZECgMHZ2g4BPbMxxGYdTmUBGBthXvZVaMtZy6fwcHdAUc7Rxz/WwXm7eRNlypduK/cfdiZLBMkerk4MuXhGnDIereZMQnPcN4oC1fKEn+1Ne6VP8bO+YrNYcUYobiWt843ktb20+fwtJUybMROUPJGyWsPvAV/zobE2IzbtRmbP+MRERHJBcXuU9zbb7/NmjVrrMq7d+9uvpezQYMGzJw506L+xIkTnDlzhhs3bliUb9y4kY8//piKFStSu3ZtfHx8uHDhAvv37ycsLAwHBwcmT57MAw88kHcXJXnmk32fsvLEtxZltWLgs9A0gZE6faHHrLzZPlFE8kbnybBnvvmhI/DQuYM81PY9djq6ZD3p45pRVkUhhg/fJd1/s8BwJOrkaOycL+BeZXqWh1wlPoElFy7hljYw4lcFnv5NeUYkf9jZwVMb4LMW6bfpORsqaNWsiIgUHsUuOHLixAl27txpVb5v3z7z/7u4uGT6eD169CAyMpK9e/eye/durl27hpOTExUrVqRv374MHz6c2rVr58rYJX8tOryI2Qc+tyirHGcw53Iwzrd+LqnbHx6aocCISGFj7wBdp8GPIy3LF3THIch6O90MndoC+62ThvuO3sOr+27w3tojFuXJceWIODwJB8+DuAZkLtn49GZv0WbXIkz+ZcHOEUx2EHsDen4O/nWzNl6RnCp7L4w9B0v6wZltlnWPzIXavQpmXCIiItlUaLbylfRldWs4ub01J9cwdovlcmD/eIPFF89T8tZ7/OsPgG6fZGsZe2HejlCsaT4LsU+bQehhi6IY9wBcR/2duaBnYjy8U8q6vNWolOSV/7lwPYYJq/9h/T+XcXKwIz7x5r8lJvtIXEptxGSXgKtLLHeX9aKctwcJyQm80OAFKntXzvblFXd6beaDxDi48V9+HL8qKXl98khhnk+9XxMRubMVu5UjIrezJXgLr2993aLMLzGZ+ZcvWgZGGgxK+dZZ9/eLFG49v4DPW1kUuUYFw7ZpKQGOjCQnw4yG1uXupaHdOIuicj6ufD6wkflxdHwi8YnJODnY4WRvh4N93+xegUjBcnCGElULehQiIiI5ok91IrfYH7KfFze+SJKRZC7zSDKYc+ky5RNvltHoSQVGRIoK/zrQ7WPr8g1vwfEN1uWpDAO+fwqun7Wu67/0tt+euzk54OPmhJuTAw72+rdEREREpCDp3ZjIf05eP8mIDSOIS44zlzknG8y6fJnqCQk3G7YYCV2mKDAiUpTUGwA+lazLF/aE4N22+6x5CQ4uty7v9CGUb5C74xMRERGRPKVPdyLAlZgrDPt1GOHx4eYye8Ngakgo9eLibzYMehPaT8jT+6lFpADYO8Cz6QRB5gTB5g9SVooAJMTCvE6we55127J1oPFTeTdOEREREckTyjkixV50QjQjNozgQtQFi/J3Qq/SKib2ZkHnydDk6XwenYjkGwcnGHkQpt1rXbfx3ZSf2xm8RqvKRERERAohvYOTYi0xOZGXf3+ZQ1cPWZSPuhpG16jolAcme3j4CwVGRIoDnwowdEvW+9k5wLgr4KIdKEREREQKIwVHpNgyDINJf05ic/Bmi/K+4REMCo9IeWDvBH0WQF3tIiFSbPjXYV+bhZlv71MRXg0Ge8e8G5OIiIiI5CkFR6TY+vKfL1l6dKlFWZuoaMZeDcME4OgO/ZdBza4FMj4RKTjxrqXhzespt9NlpOdseP4vcHTNl3GJiIiISN5QzhEpln46/RMf7fnIouyeuDjeD72a8qJw8YbHvoMKTQpkfCJyBzCZUm6na/I0XD4Elw+m3D7j4JKyG41n2YIeoYiIiIjkEgVHpNjZe3kvr215zaKsfEIiMy6H4mYY4FYCBq4E/zoFM0ARufOUqZXyIyIiIiJFkoIjUqycunGK5zc+T0JygrnMMymZmZdDKJmUjOFRBtPjq6B0zQIcpYiIiIiIiOQnBUek2Lgac5Vhvw7jRtwNc5mjYTA9JJQqCYkke5bHbvBqKFG1AEcpIiIiIiIi+U0JWaVYiEmM4bnfnuN85HmL8ndCr9IoNo54r0rYPbFOgREREREREZFiSMERKfLik+IZuXEkB64csCh/4dp1OkdFE+lRGaenfgLfSgU0QhERERERESlICo5IkZaYnMgrv7/C9gvbLcp7hUfw5I1wQlyr4vF/P4NXuQIaoYiIiIiIiBQ0BUekyEo2knlz+5v8evZXi/LW0TG8fjWMU4534Tf8Z/AoXUAjFBERERERkTuBgiNSJBmGwcSdE/nhxA8W5U1iYpkccoVDdnfjO2wdDp4lC2iEIiIiIiIicqdQcESKpOn7pvPN0W8syurExjH9cih7k+7B4fEV+PopMCIiIiIiIiIKjkgRNOfAHOYcmGNRdldcPDMvh/JrUnPi+n5DrUDlGBEREREREZEUCo5IkbLkyBI+3vuxRVmlhAQ+vxTCoviuOPWaTdt7KhTQ6EREREREROROpOCIFBmrjq/kvZ3vWZT5Jyby2YVQpsUNwv+RiXSqU76ARiciIiIiIiJ3KgVHpEj45dRP/G/bOIuyEolJfHIhjPGxL3DPQy/xcP2AAhqdiIiIiIiI3MkUHJFCb9vpX3n59zEk31LmlZTEhxcjeSX6VVp0GcijTSoW2PhERERERETkzqbgiBRqe07/yshNL5J4S5lbcjJvXkxidNSbdOjQlSEtKhfY+EREREREROTOp+CIFFr/HP+JEZteJNZ0s8w5OZmRFx0ZGzGeh9q2ZFibqgU3QBERERERESkUHAp6ACLZcfzwSv7vjzeIsrsZGXEwDAZe8mFC+CgGtrqbF9vfVYAjFBERERERkcJCwREplMJJJOGWx3aGQedL5fj4xnP0bxbIa51rYjKZ0u0vIiIiIiIikkq31UihVKvaw7SI7o13Ukoa1iaXq7Ho+vP0bFiRt7rfq8CIiIiIiIiIZJpWjkihtObviyw/14gHXEK47hrGL2GP0bWOP+8/Ugc7OwVGREREREREJPOK1cqRkJAQFixYQP/+/alevTouLi64ublx99138/zzz3P69OlsHzs+Pp7333+funXr4u7ujq+vL23atOG7777LvQsQs0caBjCq/V38GtuZ3WGP0b5WGab2rYe9AiMiIiIiIiKSRcVq5chLL73EokWLsLOz495776V79+5ERUWxa9cuPvnkE+bNm8eKFSto3759lo4bHR1N+/bt2b59Oz4+PnTs2JHIyEh+++03Nm/ezKhRo5g8eXIeXVXx9VxQdVyd7Nly7Aoz+tfH0b5YxfpEREREREQklxSr4Iifnx8TJkzgySefpHz58ubyyMhInn76ab755hv69evH8ePH8fX1zfRxX3vtNbZv307t2rX57bffKFmyJAB79uyhTZs2TJkyhTZt2tC1a9dcv6bi7qlWVRjSorJWjIiIiIiIiEi2Fauv2qdPn87//vc/i8AIgIeHB3PnzsXT05Nr166xZs2aTB8zLCyMWbNmATBr1ixzYASgYcOGvPLKKwC8++67uXAFYosCIyIiIiIiIpITxSo4khE3Nzdq1KgBwLlz5zLdb+3atcTHx1OxYkVatGhhVd+/f38A/vjjDy5cuJA7gxURERERERGRXKPgyH8SEhLMCVn9/f0z3W/fvn0ANGrUyGZ9lSpV8PPzA2D//v05GqOIiIiIiIiI5L5ilXMkI3PnzuXKlSu4urrSqVOnTPc7deoUABUrVky3TUBAANeuXTO3zang4GCLxxEREblyXBEREREREZHiSMER4MCBA4wZMwaAcePGUaZMmUz3TQ1MuLu7p9vGw8MDgPDw8ByM8qYKFSrkynFEREREREREpBAFR15++WV++OGHLPebM2cOLVu2TLc+ODiYbt26ERkZSffu3Rk7dmxOhlmgdu/enWGQRu4sYWFh7Ny5s6CHIblE81m0aD6LDs1l0VKY5zMqKqqghyAiIhkoNMGRCxcucPTo0Sz3i4yMTLfu0qVLBAUFcebMGTp06MCyZcswmbK284mnpyeQ8R+81DF4eXll6djpSZswNiIiglq1atGoUaNcO4fkvZ07d9K0adOCHobkEs1n0aL5LDo0l0VLYZ7P3FpBLCIieaPQBEcWLlzIwoULc+14ISEhtGvXjn///ZcHHniAlStX4uzsnOXjBAYGAnD27Nl026TmCEltm1MBAQEWj/XHVkRERERERCT7iuVuNaGhobRr147Dhw8TFBTEDz/8gIuLS7aO1aBBAyDllhZbTp48ybVr1wCoX79+9gYsIiIiIiIiInmm2AVHrly5Qrt27fjnn38ICgpi9erVuLq6Zvt4nTt3xsnJibNnz7Jt2zar+sWLFwPQrFkzypUrl+3ziIiIiIiIiEjeKFbBkWvXrhEUFMTBgwd54IEHshQYCQoK4u6772bFihUW5b6+vgwbNgyA4cOHc/XqVXPd3r17ef/99wF4/fXXc+kqRERERERERCQ3FZqcI7nhqaee4u+//8ZkMuHn52cOaqTVo0cPevToYVF24sQJzpw5w40bN6zav/fee/z555/s2LGD6tWr065dO6KiotiwYQMJCQm89NJLdO3aNS8uSURERERERERyqFgFR1JzfxiGwbJly9JtFxgYaBUcyYibmxubNm3io48+YtGiRaxduxYnJyfuu+8+nn32WXr37p3ToYuIiIiIiIhIHilWwZFNmzZlu+/p06czrHdycmLs2LGMHTs22+cQERERERERkfxXrHKOiIiIiIiIiIikpeCIiIiIiIiIiBRrCo6IiIiIiIiISLGm4IiIiIiIiIiIFGsKjoiIiIiIiIhIsabgiIiIiIiIiIgUawqOiIiIiIiIiEixpuCIiIiIiIiIiBRrCo6IiIiIiIiISLGm4IiIiIiIiIiIFGsKjoiIiIiIiIhIsabgiIiIiIiIiIgUawqOiIiIiIiIiEix5lDQA5CcMwwDgPDw8AIeiWRFVFSU5qwI0XwWLZrPokNzWbQU5vlMHXfq+zYREbmzKDhSBERERABQoUKFAh6JiIiIiGQkIiICb2/vgh6GiIikYTIUvi70kpOTuXDhAp6enphMpjw/X3h4OBUqVODcuXN4eXkV6DGz0i8zbW/XJqP69OrSlp8/f55atWoBcOjQIcqXL5/p680LuT2fOTme5jPnNJ+3n7OMyu+k+Sys/9Zmtn12Xn8Z1RW312ZOjnmnvDYzqiuK82kYBhEREZQrVw47O93ZLiJyp9HKkSLAzs6OgICAfD+vl5dXrr3By+kxs9IvM21v1yaj+vTqUstvXQ7s6emZ689hduX2fObkeJrPnNN8pj9nGZXfifNZWP+tzWz77Lz+Mqorbq/NnBzzTnltZlRX1OZTK0ZERO5cCltLljk7O/Pmm2/i7Oxc4MfMSr/MtL1dm4zq06vLi+crN+X2+HJyPM1nzmk+Mz9nxW0uc3LMrPbL6XzqtZm3x7xTXpsZ1RXH+RQRkYKl22pE8llwcLA5P8y5c+cKZNWP5B7NZ9Gi+Sw6NJdFi+ZTRETymoIjIiIiIiIiIlKs6bYaERERERERESnWFBwRERERERERkWJNwRERERERERERKdYUHBERERERERGRYk3BEREREREREREp1hQcEREREREREZFiTcERERERERERESnWFBwRERERERERkWJNwRERERERERERKdYUHBERERERERGRYk3BEREREREREREp1hQcEREREREREZFiTcERERERERERESnWFBwRERERERERkWJNwRERERERERERKdYUHBEpRBITE6lTpw4mk4lvvvmmoIcj2bBp0yZMJpPVz7333lvQQ5McWLp0KU2aNMHNzQ0/Pz+CgoK4ePFiQQ9LsqhNmzY2X58mk4lJkyYV9PAki1atWkWzZs3w8vKidOnSdOnShf379xf0sERE5A7lUNADEJHM+/jjjwkNDS3oYUgumDNnDvfcc4/5sZubWwGORnJiypQpvPrqq4wePZr333+fqKgofv/9d2JjYwt6aJJFM2fOJDw83KLs66+/ZubMmXTu3LmARiXZ8csvv/Dwww/z2GOP8dZbbxEVFcV7771HUFAQBw8exN/fv6CHKCIidxiTYRhGQQ9CRG4vODiYWrVqMWPGDAYNGsSSJUvo169fQQ9LsmjTpk20bduWHTt20KxZs4IejuTQ8ePHqVWrFh9//DHDhg0r6OFIHmjSpAmxsbH8/fffBT0UyYIhQ4awadMmTp48iclkAuDkyZNUrVqV+fPnM3jw4IIdoIiI3HF0W41IITFy5Ei6d+/O/fffX9BDEZH/zJs3DycnJ5588smCHorkgWPHjrFr1y4GDBhQ0EORLEpISMDDw8McGAHw9vYGIDk5uaCGJSIidzAFR0Sy4ejRo3zyyScMHjyY2rVr4+DggMlk4p133slU/2+//ZY2bdrg6+uLu7s7devW5YMPPiAhIcFm+59++omff/6ZDz/8MDcvQ/6T3/MJ8NBDD2Fvb0+ZMmV45plnuHbtWm5dTrGXn/O5fft27r77br766isqVaqEg4MDdevWZd26dbl9WcVWQbw+Uy1cuBA7Ozv69++f08sQ8ncun3jiCY4cOcLUqVMJCwvj3LlzPPfcc1SoUIGePXvm9qWJiEhRYIhIlr3wwgsGYPXz9ttvZ7qvg4OD8eCDDxo9e/Y0fHx8DMBo2bKlER0dbdE+JibGqFq1qjF58mTDMAzj1KlTBmAsWbIkT66tOMrP+dy7d68xatQoY/Xq1cbGjRuNSZMmGd7e3sa9995rxMbG5tUlFiv5OZ81atQwPDw8DH9/f2PBggXG+vXrja5duxoODg7GwYMH8+oSi5X8nM+0qlatarRt2za3LqXYy++5/OGHHwxPT0/zeSpXrmwcPXo0Ly5NRESKAAVHRLJh9uzZxujRo41FixYZhw8fNgYOHJipN3grVqwwAMPDw8PYs2ePuTw0NNSoXbu2ARijRo2y6DNu3DijZs2aRnx8vGEYCo7khfycT1t+/vlnAzDmz5+f00sRI3/ns3r16gZgrFmzxlwWFxdnBAQEGAMHDszdCyumCur1uWPHDgMw5s6dm2vXUtzl51zu2LHD8PHxMYYOHWr8+uuvxsqVK43mzZsbVapUMS5dupQn1yciIoWbgiMiuWDQoEGZeoPXuHFjAzDeeecdq7otW7YYgOHs7Gxcv37dMAzDOH36tOHs7Gx89913RlhYmBEWFmb89ddf5jfsqe0kd+XVfGbEz8/PGD58eLbHLOnLy/ls0qSJAVh9a923b1+jQYMGuXMBYiG/Xp8jRowwXFxcjBs3buTKuMVaXs5lo0aNjM6dO1u0vXHjhuHj42O88soruXMBIiJSpCjniEg+OX/+PLt27QKwef96y5YtqVChAnFxcaxduxaAU6dOERcXR69evfD19cXX15e6desC8OSTT1K+fPn8uwCxkJ35vJ1bEwdK/srufN66HfOtDMPQVr4FKKevz8TERJYuXUq3bt3w8vLK8/FK+rI7l//88w8NGza0aOvl5UW1atU4duxY3g5aREQKJQVHRPLJvn37APDz86Ny5co22zRq1Miibb169di4caPFz5IlSwAYN26ckj4WoOzMZ3rWr1/PtWvXaNKkSe4OUjItu/PZvXt3ADZs2GAui4uLY+vWreb2kv9y+vpcv349V65c0S41d4DszmVgYCC7d++2aBceHs7x48fTPY6IiBRvDgU9AJHi4tSpUwBUrFgx3TYVKlSwaOvj40ObNm0s2pw+fRqAWrVq0apVq9wfqGRKduYTYMCAAVSuXJmGDRvi6enJzp07ef/996lXrx79+vXL20FLurI7n927d+e+++7jqaeeYuLEiZQtW5ZPPvmEsLAwXn755bwdtKQru/OZauHChZQoUYJOnTrlzQAl07I7l88++ywjRoxg6NChPPLII0RGRjJlyhTi4uJ4+umn83bQIiJSKCk4IpJPIiIiAHB3d0+3jYeHB5Dy7Zbc2bI7n/fccw+LFy/m448/JiYmhoCAAJ588knefPNNnJyc8nbQkq7szqednR0//vgjo0ePZtSoUcTExNC4cWN+++23dG+5kbyXk39vIyMj+eGHHxg0aBCOjo55N0jJlOzO5bBhw3BxcWHGjBksXrwYV1dXGjRowMaNG6lRo0beDlpERAolBUdECpnAwEAMwyjoYUg2vfrqq7z66qsFPQzJRX5+fsybN4958+YV9FAkF3h4eBAVFVXQw5AcMplMPPHEEzzxxBMFPRQRESkklHNEJJ94enoCZPimOzIyEkAJAAsBzWfRovksWjSfRYfmUkRE8ouCIyL5JDAwEIBz586l2ya1LrWt3Lk0n0WL5rNo0XwWHZpLERHJLwqOiOST+vXrA3D16lWbCQABc2b9Bg0a5Nu4JHs0n0WL5rNo0XwWHZpLERHJLwqOiOSTgIAAGjduDMDixYut6rdu3cq5c+dwdnamc+fO+T08ySLNZ9Gi+SxaNJ9Fh+ZSRETyi4IjIvnotddeA2DSpEns3bvXXH716lWGDx8OpGw/6O3tXSDjk6zRfBYtms+iRfNZdGguRUQkP5gMbXshkmV79+41vyEDOHHiBFeuXCEgIIDy5cuby1esWIG/v79F3xdeeIHp06fj6OhIUFAQ7u7ubNiwgevXr9OiRQt++eUXXF1d8+1aRPNZ1Gg+ixbNZ9GhuRQRkTuZgiMi2bBp0ybatm1723anTp2ymSBu2bJlfPrpp+zfv5+EhASqVq3KgAEDePHFF3FycsqDEUtGNJ9Fi+azaNF8Fh2aSxERuZMpOCIiIiIiIiIixZpyjoiIiIiIiIhIsabgiIiIiIiIiIgUawqOiIiIiIiIiEixpuCIiIiIiIiIiBRrCo6IiIiIiIiISLGm4IiIiIiIiIiIFGsKjoiIiIiIiIhIsabgiIiIiIiIiIgUawqOiIiIiIiIiEixpuCIiIiIiIiIiBRrCo6IiEihM3jwYEwmE4MHDy7ooeSaNm3aYDKZGD9+fEEPRURERKTYcSjoAYiIiKQ6ffo0X375JYCCBCIiIiKSb7RyRERE7hinT59mwoQJTJgwIcN2/v7+1KhRA39//3wamYiIiIgUZVo5IiIihc7EiROZOHFiQQ9DRERERIoIrRwRERERERERkWJNwRERkRwyDIOvv/6aBx54gFKlSuHo6EiJEiW4++67GTBgAN9++226fffs2cOgQYMIDAzExcUFb29vmjVrxrRp04iNjbXZJzAwEJPJxJdffsn169cZNWoUVatWxcXFhXLlyvHkk09y7tw5m32Tk5P59ddfGTFiBE2aNMHf3x8nJyfKlClD586d+f7779Md65dffonJZCIwMBCAdevW0alTJ0qXLo2dnR3Tpk0zt92xYwejR4+mefPmVKhQAWdnZ0qUKEG7du2YN28eSUlJNq+rbdu25scmk8ni59YcJLdLyGoYBosWLaJ9+/aULFkSZ2dnAgIC6NevHzt37kz3Gm99buPi4njnnXeoVasWrq6ulCxZkh49erB///50++eW2NhYJkyYQM2aNXF1daVUqVL06dOHQ4cO2Wy/adMm8/MEsH37drp160apUqVwdXWlTp06TJ061ebzLiIiIiKAISIiOTJw4EADMP94eXkZzs7O5sfly5e32W/8+PGGyWQyt/P09DTs7e3Njxs0aGCEhoZa9atUqZIBGFOmTDGqVatmAIarq6vh4eFh7uvr62vs27fPqu+pU6esxnprP8AYOnSozfHOnz/fAIxKlSoZkydPNgDDZDIZPj4+hr29vTF16lRz21uP5+HhYXh7e1uUdenSxUhISLA4fqNGjQxfX19zmzJlylj8fPjhh+a2gwYNMgBj0KBBVuOMiYkxunfvbj6Ovb294ePjY35sMpmM999/3+Y1pj6306dPNxo1amQAhrOzs+Hq6mru7+bmZuzcudNm/5xo3bq1ARhjx4417rvvPgMwnJycDC8vL/O5nZ2djfXr11v13bhxo7nN8uXLDQcHBwMwfHx8zP8PGB06dDDi4uJyfewiIiIihZ2CIyIiOfD7778bgGFnZ2dMmTLFuH79umEYhpGcnGxcvnzZWLp0qfHUU09Z9Zs5c6YBGCVKlDA++eQT4+rVq4ZhGEZcXJyxbt06o3r16uYgQlqpH+C9vb2N0qVLGz/88IORlJRkHk/VqlUNwKhSpYoRHR1t0ffcuXPGwIEDjXXr1pnHahiGERISYrz33nvmD9LLli2zOm9qcMTFxcWwt7c3hg8fbly6dMkwjJSAxLlz58xtH3roIWP58uUWwZ3r168bn376qeHp6WkAxgcffGB1jls/5Gcko+DIc889ZwCGg4ODMWXKFCMyMtIwDMM4f/68MWDAAPPxV61aZdU39bn19fU1AgMDjZ9++slITEw0kpKSjN9//90ICAgwAKNp06YZji87UoMj3t7ehpubm/HVV18Z8fHxhmEYxl9//WUO1vj4+BgXL1606Hvr8+bt7W107NjROHnypGEYhhEVFWVMmTLFHHgbO3Zsro9dREREpLBTcEREJAfef/998zfymXXjxg3Dy8vLcHR0THcFwvHjxw03NzcDMPbs2WNRl/oB3mQyGVu2bLHqe+zYMfPKlU8//TRL1/POO+8YgNGmTRurutTgCGA8+uijWTrurRYuXGgARmBgoFVdToMjZ8+eNQcBpkyZYtUvOTnZ6NChgwEYNWvWtKpPfW5dXV2NY8eOWdV/99135vGdOXPmNleaNanBEcBYuHChVf3Vq1eNUqVKGYAxZswYi7pbn7d77rnHiI2Nter/9ttvm4NbqcE4EREREUmhnCMiIjng5eUFQGhoKMnJyZnq89133xEeHs79999PkyZNbLapWrUqzZo1A+Dnn3+22aZVq1a0bNnSqrxatWr07dsXIMN8J7Z06dIFgD/++CPD/BRjxozJ0nFtneP06dNcuHAh28exZfny5SQlJeHr68uzzz5rVX9r7pLDhw/z999/2zxOr169qFatmlV59+7dzXk9Dh48mHsDv0WlSpXo37+/Vbmfnx/Dhg0DMp7XUaNG4ezsbFU+cuRI3NzciI2NZfXq1bk3YBEREZEiQMEREZEcCAoKwsnJib1799K6dWsWLFhAcHBwhn22b98OpCQtLVu2bLo/qe3Onj1r8zht2rRJ9xytW7cGYO/evVZ1MTExTJ06lTZt2lC6dGkcHR3NyTzr168PpCQEDQsLs3lsV1dX6tatm+E1JiYmMnfuXDp27Ii/vz/Ozs7mc/j6+prb5XZwZM+ePQC0bNkSJycnm22aNm2Kp6enRfu0GjdubLPc0dGR0qVLA6T7/ORU69atzQEYW3WQEli6du2azTbp/V54eHjQsGFDwPbvhYiIiEhx5lDQAxARKcyqV6/OZ599xrPPPsvWrVvZunUrAAEBATz44IMMGTLEanXHxYsXAYiOjiY6Ovq250ivTfny5dPtk1oXHh5OXFyceSXBxYsXadOmDf/++6+5rZubG76+vtjZ2ZGUlMSVK1cAiIqKomTJklbHLlGiBHZ26cfWIyMj6dChgzm4A+Di4kLJkiWxt7cH4PLly+Zz5KbQ0FAg4+fGZDJRrlw5jh49SkhIiM02qcETW1xcXABISEjIwUjTl5l5hZRr9fPzy1b/9K5bREREpLjSyhERkRwaMmQIp06d4pNPPqFnz56UKVOG4OBg5s2bR6tWrRg+fLhF+9TbVYYOHYqRkvspw58vv/wy18Y6cuRI/v33X7y8vFiwYAGhoaFERUUREhLCpUuX+OOPP8xtDcOweYzUAEd63n77bbZv346joyPTp08nODiYmJgYQkNDuXTpEufPn7/tOURERERE8pOCIyIiuaB06dI8++yzLF++nEuXLrF//34GDhwIwKxZs1i7dq25bZkyZYD0b5fJrIxuSUmt8/LyMq8aiY+PZ9WqVQBMmzaNgQMHWq0MSV3RkROp+TBeffVVnnvuOauVDLlxjvSUKlUKwCIAk5ZhGObnJ/UWmTtJZuYVbl5rdvrfidctIiIiUpAUHBERyQN169ZlwYIF1K5dG4BNmzaZ65o3bw7Ali1bCA8Pz/Y5Nm/efNu6Bg0amMuuXLlCXFwckH5OjY0bN2Z7PKlSc65k5xy33q6TnVUljRo1AmDr1q3Ex8fbbLNz504iIiIAzDk47iSZmdfAwECbt9Rk1D8qKordu3cDlr8XIiIiIqLgiIhIjqT3ATxVan6K1KAEQO/evfH09CQyMpJXX301w/5RUVHpnmPz5s0WeT1SnTx5kqVLl5rPlcrT09Oc6PPIkSNW/UJCQpg+fXqG48kMb2/vdM8RExPDu+++m27f1N1/AK5fv57lc/fs2RN7e3vCwsKYMWOGVb1hGObdamrVqkWdOnWyfI68dvr0aZYsWWJVHhYWxmeffQZYzmtaU6ZMsfk7M336dKKjo3FxcaFbt265N2ARERGRIkDBERGRHBgxYgSPPvooq1atstg95OrVq4wbN45du3YB0KlTJ3Odn58fH3zwAQAzZ87k0Ucf5cCBA+b6hIQE9u7dy7hx46hSpUq6yTO9vLzo2bMna9asMW8jvG3bNjp27EhsbCxVqlRhyJAh5vaenp7m7YFHjRrFtm3bzHlNfv/9d9q2bZvh9r2Z1b59ewDeffddi7Ht37+f9u3bZ5gM9K677sLR0RGA+fPnZ/ncFSpUYMSIEQC88sorTJ061Zz09cKFCzz++OOsX78egIkTJ2b5+LczePBgTCYTgYGB2T6Gt7c3Tz/9NAsXLjQnfT1w4AAdO3bk8uXL+Pj48NJLL6Xb/+zZszz88MOcPn0aSAlITZs2jXHjxgEpeWfSW3UiIiIiUmwZIiKSbYMGDTIA84+np6fh5eVlUTZixAibfSdPnmzY29ub27m6uhp+fn4WZYARHBxs0a9SpUoGYEyZMsWoVq2aua+Hh4e5j6+vr7Fv3z6rc/7xxx+Gq6urxTnd3NwMwPDz8zNWrlxprjt16pRF3/nz5xuAUalSpQyfkxMnThglS5Y0H8fJycnw9PQ0n2/9+vXmuo0bN1r1Hzx4sLne3d3dqFSpklGpUiVj6tSpVs/7oEGDrPrHxMQY3bp1Mx/DwcHB8PX1NUwmk7ls0qRJNsee+tzOnz8/3evLqE3quG73HNnSunVrAzDGjh1rNGvWzAAMZ2dnw9vb2zxuZ2dn46effrLqu3HjRnOb5cuXGw4ODgZg+Pj4mP8fMDp06GDExsZmeWwiIiIiRZ1WjoiI5MC4ceOYNm0a3bt356677gJSvqkvX748PXv2ZO3atTZv74CU1RuHDh3iueeeo1atWtjb2xMeHk6JEiW4//77eeONN/jrr7/S3ZrVz8+PP//8kxdffJGyZcuSkJCAv78/Q4YM4a+//qJevXpWfZo2bcqOHTvo0aMHvr6+JCUlUapUKYYOHcr+/fupW7dujp+TKlWq8OeffzJgwABKly6NYRh4eXnx2GOPsWvXLh588MEM+8+aNYtx48ZRq1YtkpKSOHPmDGfOnMn0bTYuLi6sWrWKr7/+mnbt2uHl5UVkZCRly5alT58+7Nixg1deeSXH12lLasLT9PKtZIazszMbN25k/PjxBAYGEhcXR8mSJenduzd79uyhQ4cOGfbv2bMnmzdvpmvXrtjb2+Pg4EDt2rX56KOPWLNmjTlBr4iIiIjcZDIM7aMoIlKYBAYGcubMGebPn8/gwYMLejjyn4SEBHx9fYmOjuavv/4yJ+PND5s2baJt27aAtkcWERERyQ6tHBEREckFu3fvJioqiocffjhfAyMiIiIiknMKjoiIiOSC1C10UxOfioiIiEjhoeCIiIhILhg7diyGYdjM9SIiIiIidzYFR0RERERERESkWFNCVhEREREREREp1rRyRERERERERESKNQVHRERERERERKRYU3BERERERERERIo1BUdEREREREREpFhTcEREREREREREijUFR0RERERERESkWFNwRERERERERESKNQVHRERERERERKRY+3+fLdaftIykrAAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, ax = plt.subplots(1,1,figsize=(8,3))\n", "for frac in [1]+downsampling_fracs:\n", " der = derivs_smoothed[frac]\n", " der[3] = np.nan\n", " ax.semilogx(\n", " cvd_smooth_agg_downsampled['dist_bp'],\n", " der,\n", " label=f'{frac*100}%, {num_reads[frac]} reads'\n", " )\n", "\n", "ax.set(\n", " xlabel='separation, bp', \n", " ylabel='slope')\n", "ax.grid(lw=0.5)\n", "ax.title.set_text(region)\n", "ax.legend(loc='center left', bbox_to_anchor=(1, 0.5))\n", "plt.ylim(-2.25,.25)\n", "f.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.16" } }, "nbformat": 4, "nbformat_minor": 4 }