{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "aA39B_EcZQCc"
},
"source": [
"##### Copyright 2020 Google"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"cellView": "form",
"execution": {
"iopub.execute_input": "2024-12-15T11:09:31.594222Z",
"iopub.status.busy": "2024-12-15T11:09:31.593986Z",
"iopub.status.idle": "2024-12-15T11:09:31.598028Z",
"shell.execute_reply": "2024-12-15T11:09:31.597439Z"
},
"id": "fWJ0o02cZRSd"
},
"outputs": [],
"source": [
"#@title Licensed under the Apache License, Version 2.0 (the \"License\");\n",
"# you may not use this file except in compliance with the License.\n",
"# You may obtain a copy of the License at\n",
"#\n",
"# https://www.apache.org/licenses/LICENSE-2.0\n",
"#\n",
"# Unless required by applicable law or agreed to in writing, software\n",
"# distributed under the License is distributed on an \"AS IS\" BASIS,\n",
"# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
"# See the License for the specific language governing permissions and\n",
"# limitations under the License."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "7s_XCH-TZXgv"
},
"source": [
"# Data analysis"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "UcT7t5giZc0T"
},
"source": [
"
"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "3ahn9EPmZDNx"
},
"source": [
"This is the follow up to the [data collection](data_collection.ipynb) tutorial. We have measured bitstrings for the single-qubit circuit $R_y(\\theta)$ for various `theta`s. In this analysis, we compute $\\langle Z \\rangle (\\theta)$, compare to the analytically expected true value, and fit to a depolarizing noise model with T1 decay during readout."
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "gG9IN3zJZ4D3"
},
"source": [
"## Setup\n",
"\n",
"Install the ReCirq package:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"execution": {
"iopub.execute_input": "2024-12-15T11:09:31.600995Z",
"iopub.status.busy": "2024-12-15T11:09:31.600781Z",
"iopub.status.idle": "2024-12-15T11:10:01.041720Z",
"shell.execute_reply": "2024-12-15T11:10:01.040887Z"
},
"id": "5t8t_BZUZ5LL"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\u001b[31mERROR: pip's dependency resolver does not currently take into account all the packages that are installed. This behaviour is the source of the following dependency conflicts.\r\n",
"tensorflow-metadata 1.16.1 requires protobuf<4.21,>=3.20.3; python_version < \"3.11\", but you have protobuf 4.25.5 which is incompatible.\u001b[0m\u001b[31m\r\n",
"\u001b[0m"
]
}
],
"source": [
"try:\n",
" import recirq\n",
"except ImportError:\n",
" !pip install --quiet git+https://github.com/quantumlib/ReCirq"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "yZj7otsIaC5W"
},
"source": [
"Now import Cirq, ReCirq and the module dependencies:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"execution": {
"iopub.execute_input": "2024-12-15T11:10:01.045199Z",
"iopub.status.busy": "2024-12-15T11:10:01.044900Z",
"iopub.status.idle": "2024-12-15T11:10:03.569878Z",
"shell.execute_reply": "2024-12-15T11:10:03.569177Z"
},
"id": "JgpXAHVFZDNz"
},
"outputs": [],
"source": [
"import cirq\n",
"import recirq\n",
"\n",
"from recirq.readout_scan.tasks import EXPERIMENT_NAME, DEFAULT_BASE_DIR"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "BRuLWKCLZDNy"
},
"source": [
"## Load data\n",
"\n",
"We can use utilities in ReCirq to query the filesystem and load in a dataset. Please recall that all tasks have an associated `EXPERIMENT_NAME` and a `dataset_id` which define the top two hierarchies in the filesystem. We import these values from the data collection script to ensure consistency.\n",
"\n",
"If you're running this notebook in Colab or you haven't yet gone through the Data Collection tutorial, we will download a pre-generated copy of the data for analysis."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"execution": {
"iopub.execute_input": "2024-12-15T11:10:03.573607Z",
"iopub.status.busy": "2024-12-15T11:10:03.573019Z",
"iopub.status.idle": "2024-12-15T11:10:04.671680Z",
"shell.execute_reply": "2024-12-15T11:10:04.670919Z"
},
"id": "75m62Mlkphm2"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Downloading guide/data_collection data.\n"
]
}
],
"source": [
"recirq.fetch_guide_data_collection_data()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "qt4Ye-w4ZDN3"
},
"source": [
"`recirq.iterload_records` uses these two bits of information to iterate over records saved using `recirq.save` (in the data collection script.\n",
"\n",
"This also gives you a chance to do post-processing on the data. In general, you should do some massaging of the data and put the results into a pandas DataFrame. DataFrames are great for doing statistics and visualizations across tabular data."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"execution": {
"iopub.execute_input": "2024-12-15T11:10:04.674865Z",
"iopub.status.busy": "2024-12-15T11:10:04.674583Z",
"iopub.status.idle": "2024-12-15T11:10:04.727474Z",
"shell.execute_reply": "2024-12-15T11:10:04.726782Z"
},
"id": "T7atGMiaZDN4"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"5\n"
]
},
{
"data": {
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"\n",
"\n",
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\n",
" \n",
" \n",
" \n",
" timestamp \n",
" thetas \n",
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" device_name \n",
" n_shots \n",
" qubit \n",
" resolution_factor \n",
" z_vals \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" 2020-08-31T12:05:34.236188 \n",
" [-1.5707963267948966, -1.3089969389957472, -1.... \n",
" 2020-02-tutorial \n",
" Syc23-simulator \n",
" 40000 \n",
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" 6 \n",
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" 3 \n",
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" 4 \n",
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" timestamp \\\n",
"0 2020-08-31T12:05:34.236188 \n",
"1 2020-08-31T12:05:36.742619 \n",
"2 2020-08-31T12:05:39.501528 \n",
"3 2020-08-31T12:05:42.138888 \n",
"4 2020-08-31T12:05:44.670296 \n",
"\n",
" thetas dataset_id \\\n",
"0 [-1.5707963267948966, -1.3089969389957472, -1.... 2020-02-tutorial \n",
"1 [-1.5707963267948966, -1.3089969389957472, -1.... 2020-02-tutorial \n",
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"\n",
" device_name n_shots qubit resolution_factor \\\n",
"0 Syc23-simulator 40000 q(3, 2) 6 \n",
"1 Syc23-simulator 40000 q(4, 1) 6 \n",
"2 Syc23-simulator 40000 q(4, 2) 6 \n",
"3 Syc23-simulator 40000 q(4, 3) 6 \n",
"4 Syc23-simulator 40000 q(5, 0) 6 \n",
"\n",
" z_vals \n",
"0 [0.00065, 0.2531, 0.49645, 0.70395, 0.8568, 0.... \n",
"1 [0.00355, 0.24805, 0.49835, 0.7069, 0.86295, 0... \n",
"2 [-0.00295, 0.2643, 0.50235, 0.70395, 0.8566, 0... \n",
"3 [-0.00815, 0.25195, 0.4943, 0.70735, 0.85875, ... \n",
"4 [0.0077, 0.2555, 0.49365, 0.6971, 0.8576, 0.96... "
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"\n",
"records = []\n",
"# Load all data, do some light processing\n",
"for record in recirq.iterload_records(dataset_id='2020-02-tutorial', base_dir=DEFAULT_BASE_DIR):\n",
" # Expand task dataclass into columns\n",
" recirq.flatten_dataclass_into_record(record, 'task')\n",
" \n",
" # Unwrap BitArray into np.ndarray\n",
" all_bitstrings = [ba.bits for ba in record['all_bitstrings']]\n",
" \n",
" # Compute \n",
" record['z_vals'] = [np.mean((-1)**bitstrings, axis=0).item() for bitstrings in all_bitstrings]\n",
" \n",
" # Don't need to carry around the full array of bits anymore\n",
" del record['all_bitstrings']\n",
" records.append(record)\n",
" \n",
"df = pd.DataFrame(records)\n",
"print(len(df))\n",
"df.head()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "DRoX7QZVZDN7"
},
"source": [
"## Plot the data\n",
"\n",
"A good first step."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"execution": {
"iopub.execute_input": "2024-12-15T11:10:04.730488Z",
"iopub.status.busy": "2024-12-15T11:10:04.729985Z",
"iopub.status.idle": "2024-12-15T11:10:04.987214Z",
"shell.execute_reply": "2024-12-15T11:10:04.986519Z"
},
"id": "On_mWTD7ZDN7"
},
"outputs": [
{
"data": {
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9G3smHFwLqclQLgQi2oLV57rKFxER1+G1oS46OprvvvvOad3ixYuJjo4GwM/PjxYtWpCQkJDd4cJut5OQkMDw4cNLulxxBwUNTaf3w+7v4bfvjfb2S1ce8w+E9AJci3n+NGz+2Lj5+EOtDnBjLNx4G1SslbO9Ol6IiHg8jwl1qamp7N27N/vn/fv3s3XrVipWrEiNGjUYM2YMR48eZdasWQA89thjTJ48mWeffZaHH36YpUuXMm/ePL799tvsfYwaNYr+/fvTsmVLWrduzaRJk0hLS2PgwIEl/vrExeUXmurfDkd/NILc7u/hxE7nbavUh3rdoF53qNYU3mlidIrI9bo6CwRWg+5vwb4l8NsiSDlkHO3buwS+ByrfBDd2NY7ihbeB3+KNDhZ/3V9Wx4t7ZynYiYh4AI8Z0mT58uV07tw5x/r+/fszY8YMBgwYwIEDB1i+fLnTNn//+9/ZsWMH1atX58UXX2TAgAFO20+ePJk333yTpKQkmjZtyjvvvENUVFSBatKQJl4iq7dqriGMnEffLD7GUbx63aFeHFSsncf++Ms+Lcbdn0OYwwEndsFvP8CexXBoHTj+1InCtxw4LsGlC3kUbzHC58htOhUrIuJiCpsjPCbUuSKFOi9gz4RJN1+lcwPgFwg33WYEubpdoHSF/NvneuTvBoh7I/+jaufPwL6lsGeREfLOnSzY6+j/jXEKV0REXEZhc4THnH4VMcXBtVcPdAB9ZkGdnEeS8xTZE+r3KHzHhtLBcPPfjJvdDqv+Bcteu/rzpSZfvY2IiLg0hTqR61HQMHTuVOH3bfW5vqNnVivUiC5Y23IhV28jIiIuTePUiVyPzIyCtTMrNEW0Na6Zy7oeLzflqxntRETErSnUiVyrA2vg++eu0shiXAtnVmiy+hg9cLNqyU3mJTi1r8RKEhGR4qFQJ3ItfvkcPullDBZcqQ5GYPpraLr8c9wb5vYsjexp9JgNrOa8vlwIlK0C507AtBjYv8qc+kREpEio92sxUu9XD+RwwKr/g6XjjZ8b9IS/fWj0NL2W3qolKbfBkc//AXPuh8MbwOoLPd+FpveZXamIiKAhTVyKQp2HycyAb0fBFmMAa6KHw23jjQ4J4L7TcGVcgK8fg1/nGz93HA2dRoMln+vwRESk2GlIE5HicMEGn/c3xoCzWKHbP6H1YOc219tb1Sy+AdB7OlSoCav/DSvegD8OQM93oJTmMhYRcRe6pk7kalKOwvQ4I9D5loG+/80Z6Nyd1Qox4+COt40ZL36ZA5/8Dc6dNrsyEREpIIU6kfwk/gIfdYHjvxqnVAd+Z0zt5alaDIAHvzCmNju4GqZ1hdO/m12ViIgUgEKdSF72LIaPu8HZRKhSHx5ZAmHNzK6q+NW5FR7+AQKrw6k98FEMHN5odlUiInIVCnUiufnxY5jdBy6mQq1bjJATXMPsqkpOSCQMToBqTY3ZMGbcfqUjhYiIuCSFOpE/s9thyTj4ZiQ4MqHJffDAl8acqt6mfOjl083dITMdPh8AqycZw7qIiIjLUagT72XPNAbc3faFcZ+eBl8OMnqAAnQaA73eg1J+5tZpJr+y0OdTiBpq/LxkrBF4MzNyvn/2TFNLFRHxdhrSRLzTjgU5Bwv28YPMi2AtdXkQ3vvNq8+VWH2g2xtQsRbEj4bNM+DIj8Zp2bOJV9oFhhlTkrnKYMsiIl5GR+rE++xYAPP6OQc6MAIdQIenFehyE/Uo9J1thN/k7c6BDsCWaLyvOxaYU5+IiJdTqBPvYs80jtCRz3VhP32iU4l5ubErBATl8eDl9zR+tN4/ERETKNSJdzm4NucRur+yHTXaSU4H10LaiXwaOPT+iYiYRKFOvEtqctG28zZ6/0REXJZCnXiXciFF287b6P0TEXFZCnXiXSLagn/5fBpYIPAGo53kFNHW6OWKJe82ev9EREyhUCfe5eBaSE/N48HLQSXuDWMYD8nJ6mMMWwLkGey6jNX7JyJiAoU68R5nk43BhXFAzVsuH3H6k8AwuHeWxlm7msiexvsUWM15veVykNuXUPI1iYiIBh8WL2HPNAJdajJUjYT750Ipf+PIXWqycQ1YRFsdYSqoyJ5Qv4fz+2fxgZm3wy9zoc6t0KSv2VWKiHgVhTrxDsvfgAOrwLcs3DMT/MoY62t1MLcud2b1yfn+dRoNy16Db5+C6q2gUh1zahMR8UI6/Sqeb28CrHzTWL7jbahyk7n1eLIOT0FEO7iYCl8+Apcuml2RiIjXUKgTz2Y7Bl8NBhzQ8mFofI/ZFXk2qw/87UMICIZjW4yjdiIiUiIU6sRzZWbAFw8bE8+HNobYCWZX5B2CqsOdk43lNW/DvmXm1iMi4iUU6sRzLR0Ph9aBfyDcOxN8A8yuyHs0uMM4MooD5j8KaSfNrkhExOMp1Iln2h1vHCUC46hRxdrm1uONur4GVeobvWO/fhwcDrMrEhHxaAp14nnOHDKODgFEDYXIO82tx1v5lYG7p4OPP+z5ATZ+aHZFIiIeTaFOPMuli/D5ALhwBm5oAbe9YnZF3i2kIXR91Vhe9AIkbTO3HhERD+ZRoW7KlCnUrFmTgIAAoqKi2LhxY55tO3XqhMViyXHr0aNHdpsBAwbkeDwuLq4kXopcq8UvwdHNRu/Le2ZAKT+zK5LWg+GmbpB50ei4cvGc2RWJiHgkjwl1c+fOZdSoUYwdO5YtW7bQpEkTYmNjOX78eK7tv/rqKxITE7Nv27dvx8fHh3vucR7yIi4uzqndf//735J4OXItdvwPNrxnLN/1AQTXMLceMVgscOcUKF8NTv4GP4wxuyIREY/kMaHurbfeYvDgwQwcOJDIyEjef/99ypQpw/Tp03NtX7FiRUJDQ7NvixcvpkyZMjlCnb+/v1O7ChUqlMTLkcI6/Tv8b7ix3O5JqKcjqi6lbCUjaGOBzTOMAC4iIkXKI0LdxYsX2bx5MzExMdnrrFYrMTExrFu3rkD7mDZtGn379qVs2bJO65cvX07VqlWpV68eQ4cO5dSpU0VauxSBjAswrz+k26BGNNz6otkVSW5qd4T2fzeWF4yAM4fNrUdExMN4RKg7efIkmZmZhISEOK0PCQkhKSnpqttv3LiR7du388gjjzitj4uLY9asWSQkJDBx4kRWrFhBt27dyMzMzHU/6enp2Gw2p5uUgB/GQNIvUKbS5d6WvmZXJHnp/A+4oSVcSIGvhoA9978lEREpPI8Idddr2rRpNGrUiNatWzut79u3Lz179qRRo0b06tWLb775hk2bNrF8+fJc9zNhwgSCgoKyb+Hh4SVQvZf75XP4cTpggb9NhcAwsyuS/Pj4Qu+PwK88HFoLK/9ldkUiIh7DI0Jd5cqV8fHxITk52Wl9cnIyoaGh+W6blpbGnDlzGDRo0FWfp3bt2lSuXJm9e/fm+viYMWNISUnJvh0+rNNLxerEb7DwSWP5lmegbhdz65GCqVgLbv+3sbziDThYsEskREQkfx4R6vz8/GjRogUJCQnZ6+x2OwkJCURHR+e77eeff056ejoPPvjgVZ/nyJEjnDp1imrVquX6uL+/P4GBgU43KUL2TNi/CrZ9AXuWwLx+kJEGNTtAp9FmVyeF0fgeaHIfOOzw1WA4/4fZFYmIuL1SZhdQVEaNGkX//v1p2bIlrVu3ZtKkSaSlpTFw4EAA+vXrxw033MCECc6Tuk+bNo1evXpRqVIlp/Wpqam8/PLL9O7dm9DQUPbt28ezzz5L3bp1iY2NLbHXJZftWADxz4HtmPP6gCDoPQ2sPubUJdeu+5tweIPRc3nhSOP3eGidMa1YuRCIaKvfq4hIIXhMqOvTpw8nTpzgpZdeIikpiaZNmxIfH5/deeLQoUNYrc4HJnfv3s3q1atZtGhRjv35+Pjwyy+/MHPmTM6cOUNYWBhdu3Zl/Pjx+Pv7l8hrkst2LDCOypHL3KEXUoxgENmzxMuS6+Rf3ri+blpX2PE1/L7cmAkkS2AYxE3U71ZEpIAsDodm2S4uNpuNoKAgUlJSdCr2WtkzYdLNOY/QZbMYH/4jt+mojrv66lH4ZU4uD1iMu3tnKdiJiFcqbI7wiGvqxIMdXJtPoANwgO2o0U7cjz0TDqzM48HL3zfjR2voExGRAlCoE9eWmnz1NoVpJ65FoV1EpMgo1IlrKxdy9TaFaSeuRaFdRKTIKNSJa4toe5UBhS0QeIPRTtyPQruISJFRqBPXZvWBVkPyePDyhfRxb6iThLvKDu2WPBootIuIFJRCnbg2hwN+izeWfcs4PxYYpp6R7s7qYwxbAuQZ7BTaRUQKxGPGqRMPtXMBHF4PpUrDsI3wxwENTutpInsa4Ty3waWb3KfQLiJSQAp14rouXYTFY43ltiMgONy4ieeJ7An1exi9XFOTIfFnWPsO7PoW0k5B2UpX34eIiJfT6VdxXZumwh/7jaNy7Z40uxopblYfqNUBGt0NMeMgtBGkp8Dy182uTETELSjUiWs6dxpW/NNY7vw8+Jcztx4pWVYfiL08T/OPH8PxXebWIyLiBhTqxDWt/JcxD2jVSGj2oNnViBlqdYD6t4MjExY9b3Y1IiIuT6FOXM+pfbDxQ2O563h1hvBmt70CVl/YuwT2LDa7GhERl6ZQJ65nyTiwZ0CdLlA3xuxqxEyV6kCbx4zlH56HzAxz6xERcWEKdeJaDq03hjGxWKHrq2ZXI67glmegTCU4uRs2zzC7GhERl6VQJ67D4TCOxgA0ewhCIs2tR1xDQBB0/oexvOw1OP+HufWIiLgohTpxHdu/hKM/gm9Zo8erSJbmA6BKAyPQrXjT7GpERFySQp24howLsORlY7n9SCivCdzlT3xKQexrxvLGD+DkXnPrERFxQQp14ho2fgAph6B8GEQPN7sacUV1u8CNXcF+CRa/aHY1IiIuR6FOzJd2Clb+n7Hc5UXwK2NuPeK6ur4GFh/Y/R38vsLsakREXIpCnZhvxRvGdFChjaBxX7OrEVdW5SZo9Yix/MM/wJ5pbj0iIi5EoU7MdXIP/DjdWO76Glj1T1KuotNoCAiG5O3w0ydmVyMi4jL0CSrmWjzWuEbqpjio3dHsasQdlKloBDuApa/CBZu59YiIuAiFOjHPgdWw+1vjGqnbXjG7GnEnrR6BSnUh7QSsfsvsakREXIJCnZjDbjeuiQJoMQCq1DO1HHEzPr5XZhxZNwX+OGBqOSIirkChTsyxbR4k/gx+5aHTGLOrEXd0UxzU7gSZF43T+CIiXk6hTkpexnlIuHy6tcMoKFfF3HrEPVksEPu6MU/wjq/h4DqzKxIRMZVCnZS8dVPAdhSCwqHNULOrEXcW0hCa9zOW40cbp/VFRLyUQp2UrNTjsPrfxnKXl8C3tLn1iPvr/IJxGj9xK/wy1+xqRERMo1AnJWvZ63AxFcKawc13m12NeIJyVeCWp43lhJfhYpq59YiImEShTkrO8V2wZaaxHPu6BhqWotNmKFSoCWcTYc3bZlcjImIKfapKyVn8IjjsUP92iGhrdjXiSUr5XxnrcM07kHLE3HpEREygUCclY98y2LMIrKUg5mWzqxFP1KAnRLSDS+dhif6NiYj38ahQN2XKFGrWrElAQABRUVFs3Lgxz7YzZszAYrE43QICApzaOBwOXnrpJapVq0bp0qWJiYlhz549xf0yPIc9E/avgl/mwTcjjXWtHoHKdU0tSzyUxQKxrwEWYxzEI5vNrkhEpER5TKibO3cuo0aNYuzYsWzZsoUmTZoQGxvL8ePH89wmMDCQxMTE7NvBgwedHv/nP//JO++8w/vvv8+GDRsoW7YssbGxXLhwobhfjvvbsQAm3Qwzb4evBl8e8d8C1ZqYXZl4srBm0PR+Y/n752D/Stj2hfHlwp5pbm0iIsXM4nA4HGYXURSioqJo1aoVkydPBsButxMeHs6IESMYPXp0jvYzZsxg5MiRnDlzJtf9ORwOwsLCeOqpp3j6aaNnXUpKCiEhIcyYMYO+fftetSabzUZQUBApKSkEBgZe+4tzNzsWwLx+QG7/tCxw7yyI7FnSVYm3sCXC200gM915fWAYxE3Uvz0RcRuFzREecaTu4sWLbN68mZiYmOx1VquVmJgY1q3Le5T51NRUIiIiCA8P58477+TXX3/Nfmz//v0kJSU57TMoKIioqKh89+n17JkQ/xy5B7rL4kfrqIkUnyObcgY6MMLevH7Glw4REQ/kEaHu5MmTZGZmEhIS4rQ+JCSEpKSkXLepV68e06dP53//+x+ffvopdrudtm3bcuSI0Wsua7vC7DM9PR2bzeZ08zoH14LtWD4NHMZsEgfXllhJ4kWyv1Tk5vIXDX2pEBEP5RGh7lpER0fTr18/mjZtSseOHfnqq6+oUqUKH3zwwTXvc8KECQQFBWXfwsPDi7BiN5GaXLTtRApDXypExIt5RKirXLkyPj4+JCc7B4Xk5GRCQ0MLtA9fX1+aNWvG3r17AbK3K8w+x4wZQ0pKSvbt8OHDhX0p7q9cyNXbFKadSGHoS4WIeDGPCHV+fn60aNGChISE7HV2u52EhASio6MLtI/MzEy2bdtGtWrVAKhVqxahoaFO+7TZbGzYsCHPffr7+xMYGOh08zoRbY0L0vNkgcAbNPiwFA99qRARL+YRoQ5g1KhRTJ06lZkzZ7Jz506GDh1KWloaAwcOBKBfv36MGTMmu/0rr7zCokWL+P3339myZQsPPvggBw8e5JFHHgHAYrEwcuRIXn31VRYsWMC2bdvo168fYWFh9OrVy4yX6B6sPtBlbB4PWoy7uDeMdiJFLftLhSWPBvpSISKeq5TZBRSVPn36cOLECV566SWSkpJo2rQp8fHx2R0dDh06hPVPc43+8ccfDB48mKSkJCpUqECLFi1Yu3YtkZGR2W2effZZ0tLSGDJkCGfOnKF9+/bEx8fnGKRY/iLrmiZrKbBfurI+MMwIdBpSQoqL1ccYtmReP4xgl0svbH2pEBEP5THj1LkirxynLuM8TGoEaSfgzv9AcA3j+qVyIcbREX2YSknYscDoBfvXThOtBkOPf5lTk4hIIRU2R3jMkTpxET99agS6oBrQ+F7w8TW7IvFGkT2hfg+jl2tqMhxYA5unw+/LjeFM9OVCRDyQx1xTJy4gMwPWvG0st3tCgU7MZfWBWh2g0d3Q9RUICIZTe2DnQrMrExEpFgp1UnS2fQEph6FsVWj2oNnViFzhXx5aDzGWV78FuupERDyQQp0UDbvd+LAEiH4cfEubW4/IX0U9Br5lIPFn2LfU7GpERIqcQp0UjV3fwMnfwD8IWg4yuxqRnMpWghYDjOXV/za1FBGR4qBQJ9fP4bhylC5qCAR4SU9fcT/Rw8HqCwdWweFNZlcjIlKkFOrk+v2+DI79BKVKG6e4RFxV0A3QpI+xnPVFRETEQyjUyfVbdfnDscUAKFvZ1FJErqrdSMACu7+D5B1mVyMiUmQU6uT6HN5onMqy+kLb4WZXI3J1lW+8MqvJmkmmliIiUpQU6uT6ZB2la9IXgqqbW4tIQbUfZdxv+wL+OGBqKSIiRUWhTq5d0nb47XvAcvmUloibCGsKdW4FRyasecfsakREioRCnVy7rGEhGvaCynVNLUWk0LKO1v30KZxNNrcWEZEioFAn1+b07/DrV8Zy1oejiDup2R6qt4bMdFj/H7OrERG5bgp1cm3WvA0OO9S9Dao1NrsakcKzWKDD5S8km6bB+TOmliMicr0U6qTwbMdg62xjucNT5tYicj1ujIWqkXDxLGz6yOxqRESui0KdFN66KZB5EWq0hYhos6sRuXZWK7T/u7G8/j24eM7cekREroNCnRTOudPw48fGso7SiSdo+DcIjoBzJ41OEyIibkqhTgpnwweQkQahjaFuF7OrEbl+PqWg3RPG8tp3IDPD3HpERK6RQp0UXPpZ2PC+sdxhlHGhuYgnaPoglK0KKYdh2+dmVyMick0U6qTgNs+AC2egUl1o0NPsakSKjm8ARD9uLK+eBHa7qeWIiFwLhTopmIwLsHaysdxuJFh9TC1HpMi1HAT+QXByN+z+1uxqREQKTaFOCubn2ZCaBIE3QOM+ZlcjUvQCAqH1YGN51VvgcJhbj4hIISnUydVlXjIGGwZo+wSU8jO3HpHi0mYolCoNx7bA/hVmVyMiUigKdXJ1v86HPw5AmUrQvJ/Z1YgUn7KVr/wbX/WWubWIiBSSQp3kz26H1Zc/3NoMBb8y5tYjUtzajgBrKeNI3ZHNZlcjIlJgCnWSv9/i4fgO8CsPrQabXY1I8QsOh0b3GsurdbRORNyHQp3kzeGAVf9nLLd+BEoHm1qOSIlpPxKwwK5v4Pgus6sRESkQhTrJ24FVcPRHKBUAbR43uxqRklOlHtTvYSyvmWRqKSIiBaVQJ3nLOkrX7CEoV9XcWkRKWodRxv22z+HMIXNrEREpAIU6yd3RzfD7cuOC8ax5MUW8yQ0toHYnsF+Cte+aXY2IyFUp1EnusoZzaHQPBNcwtxYRs7S/fLRuyyxIPWFuLSIiV6FQJzkd32VcII4F2v/d7GpEzFPrFuOI3aULsOE9s6sREcmXQp1cYc+E/atg4Ujj5/o9jAvGRbyVxXLlaN2GqbA7HrZ9Yfyd2DPNrU1E5C88KtRNmTKFmjVrEhAQQFRUFBs3bsyz7dSpU+nQoQMVKlSgQoUKxMTE5Gg/YMAALBaL0y0uLq64X4Y5diyASTfDzNvh8Dpj3eENxnoRb1avuzHn8UUb/LcPfDnI+DuZdLP+PkTEpXhMqJs7dy6jRo1i7NixbNmyhSZNmhAbG8vx48dzbb98+XLuu+8+li1bxrp16wgPD6dr164cPXrUqV1cXByJiYnZt//+978l8XJK1o4FMK8f2I45r087aazXB5d4s13fgO1ozvW2RP19iIhLsTgcDofZRRSFqKgoWrVqxeTJkwGw2+2Eh4czYsQIRo8efdXtMzMzqVChApMnT6ZfP2PuxwEDBnDmzBm+/vrra6rJZrMRFBRESkoKgYGB17SPYmfPNI44/DXQZbNAYBiM3AZWnxItTcR0+vsQERMVNkd4xJG6ixcvsnnzZmJiYrLXWa1WYmJiWLduXYH2ce7cOTIyMqhYsaLT+uXLl1O1alXq1avH0KFDOXXqVJ77SE9Px2azOd1c3sG1+XxgATiMoxQH15ZYSSIuQ38fIuJGPCLUnTx5kszMTEJCQpzWh4SEkJSUVKB9PPfcc4SFhTkFw7i4OGbNmkVCQgITJ05kxYoVdOvWjczM3C+QnjBhAkFBQdm38PDwa39RJSU1uWjbiXgS/X2IiBspZXYBruCNN95gzpw5LF++nICAgOz1ffv2zV5u1KgRjRs3pk6dOixfvpwuXbrk2M+YMWMYNWpU9s82m831g125kKu3KUw7EU+ivw8RcSMecaSucuXK+Pj4kJzs/G05OTmZ0NDQfLf917/+xRtvvMGiRYto3Lhxvm1r165N5cqV2bt3b66P+/v7ExgY6HRzeRFtoXxYPg0sRs+/iLYlVpKIy4hoa1wzhyWPBvr7EBHX4RGhzs/PjxYtWpCQkJC9zm63k5CQQHR0dJ7b/fOf/2T8+PHEx8fTsmXLqz7PkSNHOHXqFNWqVSuSul2C1Qca9MzjwcsfZHFv6CJw8U5WH4ibePmHPIKd/j5ExEV4RKgDGDVqFFOnTmXmzJns3LmToUOHkpaWxsCBAwHo168fY8aMyW4/ceJEXnzxRaZPn07NmjVJSkoiKSmJ1NRUAFJTU3nmmWdYv349Bw4cICEhgTvvvJO6desSGxtrymssFg4HHFhlLPv/5chiYBjcOwsi8wp9Il4gsqfxdxCYy5e528br70NEXIbHXFPXp08fTpw4wUsvvURSUhJNmzYlPj4+u/PEoUOHsFqvZNj33nuPixcvcvfddzvtZ+zYsYwbNw4fHx9++eUXZs6cyZkzZwgLC6Nr166MHz8ef3//En1txWpfAhz/FXzLwhM/wfGdxkXf5UKMU0o6AiFiBLf6PYxerqnJsHkmHFgJST+bXZmISDaPGafOFbnFOHUze8L+FdDmcYibYHY1Iu4h8Wf44Baw+MCTWyG4htkViYgH8spx6uQaHdtqBDqLjxHqRKRgqjWB2p3AkQnr/mN2NSIigEKdd1v7jnF/c28IdvGhV0RcTbsnjfstM+HcaXNrERFBoc57/XEAfv3aWG73hJmViLin2p0htBFknINN08yuRkREoc5rrfuPceqozq3GB5OIFI7FAm0vH63b+AFknDe3HhHxegp13ujcafjpE2O5rY7SiVyzhr0gqAaknYCf/2t2NSLi5RTqvNGmacYpo9BGxsXeInJtfHwhepixvPZdsOc+L7SISElQqPM2Gedhw/vGcruRxikkEbl2zR6EgGA4/Tvs+tbsakTEiynUeZuf/wvnThqnjCJ7mV2NiPvzLwetBxvLayYZs7SIiJhAoc6b2DNh7WRjOfpx8PGYCUVEzNX6UfDxh6ObjVknRERMoFDnTXZ9C6f3GaeKmj1kdjUinqNcFWh6v7GcNf6jiEgJU6jzFg7HlQ+bVo8Yp4xEpOi0HQFY4Ld4Yw5lEZESplDnLQ6thyObjFNEUY+aXY2I56lUBxrcYSyvfdfcWkTEKynUeYs1bxv3Te+DclXNrUXEU2VNHfbLPLAdM7cWEfE6CnXe4MRu+O17wALRI8yuRsRzVW8JEe3AngHr3zO7GhHxMgp13iDrVFD9HlC5rrm1iHi6rKN1P34MF1LMrUVEvIpCnac7mwS/zDWWsz5sRKT41L0NqtSHi2dh8wyzqxERL6JQ5+k2vA+ZFyG8DYS3NrsaEc9ntV6ZU3n9e3Ap3dx6RMRrKNR5svSzsGm6sayjdCIlp9E9UL4anE2EbZ+bXY2IeAmFOk+2eSakp0Dlm+CmOLOrEfEepfygzVBjee27YLebW4+IeAWFOk+V+afed9HDjVNCIlJyWgwA/0A4sQv2LDK7GhHxAvqk91TbvwLbESgXAo37mF2NiPcJCDKCHVwZJ1JEpBgp1Hkih+PKh0jUo+AbYG49It6qzVCw+sKhtXB4k9nViIiHU6jzRPsS4Piv4FsWWj5sdjUi3isw7MqR8rU6WicixUuhzhOtece4bzEASlcwtRQRr9f28iwuO7+Bk3vNrUVEPJpCnac5thX2rwCLz5XedyJinqr1L/c+d8C6yWZXIyIerEhC3dq1a3nmmWdo164dzz//PJs26doR06y9fJTu5t4QHG5uLSJiyBoncutsSD1ubi0i4rGuKdRlZGQQHx/Po48+SrVq1ejQoQNvv/02NpuNiRMn0qZNG8LDw3niiSdYtmwZdo3RVDL+OAC/fm0st3vCzEpE5M9qRMMNLSEzHTZ8YHY1IuKhChXq5s2bx/3330+VKlXo0aMHn3zyCVFRUXz88cckJyezbds2jh07xnvvvUfDhg354IMPiImJoWrVqgwcOJBvv/22uF6HAKz7Dzgyoc6tENrI7GpEJIvFcuVo3aaPID3V3HpExCNZHA6Ho6CNrVYrQUFB9OjRg7/97W/ExcVRpkyZPNvbbDa++eYb5s+fT3x8PKVLl+b4ce859WCz2QgKCiIlJYXAwMDifbJzp+HfDSHjHDz0NdTpXLzPJyKFY8+Eya3g9D6Ie0PXvIrIVRU2R5QqzM7j4+O59dZbKVWqYJsFBgZy//33c//995Oens6qVasK83RSGJumGYEutDHU7mR2NSLyV1YfaDscvvk7rJsCrR4BH1+zqxIRD1Ko069z587l+++/v6Yn8vf3JyYm5pq2lavIOA8b3jeW2z1pnOoREdfT5D4oWwVSDl+5/lVEpIgUKtR9/PHH3HXXXUyfPr246pHCsGfC/lXw3TNw7iQEhkNkL7OrEpG8+JY2ZnkBY9aXgl/9IiKuJOvzd9sXxr090+yKgGvo/Wq32xkyZAjTpk27attNmzaxZMmSayrsWkyZMoWaNWsSEBBAVFQUGzduzLf9559/Tv369QkICKBRo0Z89913To87HA5eeuklqlWrRunSpYmJiWHPnj3F+RIKbscCmHQzzLwdfvrEWJdug93f5b+diJir5SBjtpfkbcZA4S72oSAiV/Hnz98vBxn3k2421pus0KHujjvuIDAwkEcfffSqwe67774jNjb2mosrjLlz5zJq1CjGjh3Lli1baNKkCbGxsXl2zFi7di333XcfgwYN4qeffqJXr1706tWL7du3Z7f55z//yTvvvMP777/Phg0bKFu2LLGxsVy4cKFEXlOediyAef3Adsx5fbrNWO8C/7BEJA9lKkLN9sbykpdc7kNBRPKR1+evLdElPn8LHepatGjB4sWLKV++PI8++igfffRRcdRVaG+99RaDBw9m4MCBREZG8v7771OmTJk8TxW//fbbxMXF8cwzz9CgQQPGjx9P8+bNmTzZGPHd4XAwadIkXnjhBe68804aN27MrFmzOHbsGF9//XUJvrK/sGdC/HNAbqdtLq+LH61v/SKuascC2LMo53oX+VAQkTy4wefvNQ0+/Odg99hjjzF16tSirqtQLl68yObNm506YlitVmJiYli3bl2u26xbty5Hx43Y2Njs9vv37ycpKcmpTVBQEFFRUXnuMz09HZvN5nQrcgfX5vyG4MQBtqNGOxFxLW7woSAieXCDz99rniasZcuWLFmyhPLlyzN06FA+/PDDoqyrUE6ePElmZiYhISFO60NCQkhKSsp1m6SkpHzbZ90XZp8TJkwgKCgo+xYeXgzTdKUmF207ESk5bvChICJ5cIPP3+ua+7VFixbZwe7xxx83Ndi5gjFjxpCSkpJ9O3z4cNE/SbmQq7cpTDsRKTlu8KEgInlwg8/f6wp1cCXYBQYG8vjjj/PBByU/r2HlypXx8fEhOdn5P8Lk5GRCQ0Nz3SY0NDTf9ln3hdmnv78/gYGBTrciF9EWAsOAvMais0DgDUY7EXEtbvChICJ5cIPP3+sOdXDlGjuzgp2fnx8tWrQgISEhe53dbichIYHo6Ohct4mOjnZqD7B48eLs9rVq1SI0NNSpjc1mY8OGDXnus0RYfSBu4uUf/voP6/LPcW8Y7UTEtbjBh4KI5CH78ze3a2Jd4/O3SEIdXAl2QUFBPP7447z//vtFtesCGTVqFFOnTmXmzJns3LmToUOHkpaWxsCBAwHo168fY8aMyW7/5JNPEh8fz//93/+xa9cuxo0bx48//sjw4cMBsFgsjBw5kldffZUFCxawbds2+vXrR1hYGL169SrR15ZDZE+4dxYEVnNeHxhmrI/saU5dIpK/fL+UXaYvZSKuK7InVL4p53oX+fwt1Nyvo0aNol69enk+nnUqNiYmhmHDhhEZGXndBRZUnz59OHHiBC+99BJJSUk0bdqU+Pj47I4Ohw4dwmq9kmHbtm3L7NmzeeGFF/jHP/7BjTfeyNdff83NN9+c3ebZZ58lLS2NIUOGcObMGdq3b098fDwBAQEl9rryFNkT6vcwLqhOTTZO10S01YeBiKvL+lIW/1zOThMtB5n+oSAi+Ti8CU7+BpZScPc0sF9yqc9fi8NR9PPUbNmyhdtuu40//vgDi8VCZqZ3ds+32WwEBQWRkpJSPNfXiYj7smde+VJ2YA1sng6V68Hj68FaZCdRRKQozX0Idi6Apg9CrynF/nSFzRHF8j9H8+bNWbx4McHBwcWxexER92f1gVodoNHdcNvL4B8IJ3fD3sVmVyYiuTn9O+xcaCy3HW5uLXkotq+DzZs3Z/v27cydO7e4nkJExDMEBEKL/sbymnfMrUVEcrfuP4AD6t4GVRuYXU2uChXqatasyahRo1i5ciUFOWsbFhbGXXfdxZIlS3j88cdp0qTJNRcqIuLRooaCtRQcXA1HN5tdjYj82bnT8NOnxnLbEebWko9Chbq6desyefJkOnfuTGhoKEOGDOH7778nIyPDqd2FCxeYP38+/fr1o2rVqsTGxjJ9+vR8O1mIiHi1oBvg5ruN5bXvmluLiDjb9BFcOg/VmkCtW8yuJk+F7ihx5swZFixYwPz581m0aBEXLlygfPnydO/enTZt2rB8+XIWLVrEuXPnKF++PN26deOuu+6ie/fulC9fvrheh0tSRwkRKZSk7fB+O7BY4YmfoEJNsysSkYwL8O+GcO4k9J5mXAdbQgqbI66r9+v58+f54YcfmD9/Pt9++y2nT5+mSpUq9OzZk7vuuouYmBj8/PyudfduT6FORArtk7tg31Jo/Sh0/6fZ1YjI5hmw8EkICje+bPn4lthTl2io+7PMzEx27dpFgwYNnMaD82YKdSJSaPuWwSe9wLcM/P1XKFPR7IpEvJfdDlNaw6k9EDsBoh8v0ac3bUgTHx8fGjZsqEAnInI9aneC0EaQcQ5+nGZ2NSLe7bd4I9D5B0Hzh8yu5qqUwEREXInFAm2fMJY3fGhczyMi5sjqtNRyIPi7fr8AhToREVfT8C4IrA5px+EXjfUpYoojP8KhtWD1hajHzK6mQBTqRERcjY8vtBlqLK+bbFzXIyIla+3lgcAb3wuB1cytpYAU6kREXFHzfpenDvsN9vxgdjUi3uXPU4JFu+aUYLlRqBMRcUUBgcZ1PKDBiEVK2vr3wGGHujEQEml2NQWmUCci4qqiHjOu5zm4Bo5o6jCREuEmU4LlRqFORMRVBYZBo3uM5azre0SkeG2aZgwpFNoYanU0u5pCUagTEXFlbS9fz7NzAZzeb24tIp4u4wJs/MBYbvuEMcSQG1GoExFxZSENoU4X4/qe9f8xuxoRz/bLXEg7YQwp1LCX2dUUmkKdiIira3d5MOKfPjWu9xGRome3G0MIgTEdWAnO8VpUFOpERFxdrY5Xpg7bpKnDRIrFnh+MIYT8g4whhdyQQp2IiKuzWKDtk8byxg80dZhIccieEmyAW0wJlhuFOhERd9Cw1+Wpw07AL3PMrkbEsxzZbAwd5EZTguVGoU5ExB34+BrX+QCs1dRhIkVq3eWjdI3uMYYSclMKdSIi7qJ5P+N6n1N74Ld4s6sR8Qyn98OO/xnLbd1nSrDcKNSJiLgL//KaOkykqGVNCVanizGEkBtTqBMRcSdZU4cdWgtHfjS7GhH3du40/PSJsZw1dJAbU6gTEXEngdWg8b3GsqYOE7k+P06/PCVYI7ebEiw3CnUiIu4mOmvqsIVw+ndzaxFxVxkXYIP7TgmWG4U6ERF3ExIJdW8zrgNap6nDRK7JtnmQdvzylGB3mV1NkVCoExFxR21HGPc/fQppp8ytRcTd2O3G0EAAbYa65ZRguVGoExFxR7VugWpN4NJ5+FFTh4kUyp5FcHI3+Ae67ZRguVGoExFxRxaLcR0QGNcFZZw3tx4Rd5I1JFCLARAQaGopRUmhTkTEXUX2gqBwOHcSftbUYSIFcnQzHFwN1lJuPSVYbjwi1J0+fZoHHniAwMBAgoODGTRoEKmpqfm2HzFiBPXq1aN06dLUqFGDJ554gpSUFKd2Foslx23OHP3HKSIuwqcUtLk8ddg6TR0mkid7JuxfBdu+gMVjjXWN7oGgG8ytq4iVMruAovDAAw+QmJjI4sWLycjIYODAgQwZMoTZs2fn2v7YsWMcO3aMf/3rX0RGRnLw4EEee+wxjh07xhdffOHU9uOPPyYuLi775+Dg4OJ8KSIihdP8IVjxBpzaC6v+DyrWgnIhENEWrD5mVydivh0LIP45sB1zXh9yszn1FCOLw+FwmF3E9di5cyeRkZFs2rSJli1bAhAfH0/37t05cuQIYWEFm5j3888/58EHHyQtLY1SpYysa7FYmD9/Pr169bqm2mw2G0FBQaSkpBAY6Dnn7EXExcx5AHZ947wuMAziJkJkT3NqEnEFOxbAvH5AblHHAvfOcum/kcLmCLc//bpu3TqCg4OzAx1ATEwMVquVDRs2FHg/WW9YVqDLMmzYMCpXrkzr1q2ZPn06bp6BRcTT7FgAu77Nud6WaHyY7VhQ8jWJuAJ7pnGELtdAd1n8aKOdh3D7069JSUlUrVrVaV2pUqWoWLEiSUlJBdrHyZMnGT9+PEOGDHFa/8orr3DrrbdSpkwZFi1axOOPP05qaipPPJH7/HDp6emkp6dn/2yz2Qr5akRECiHfDy0HYDE+tOr30KlY8T4H1+Y85erEAbajRrtaHUqsrOLkskfqRo8enWtHhT/fdu3add3PY7PZ6NGjB5GRkYwbN87psRdffJF27drRrFkznnvuOZ599lnefPPNPPc1YcIEgoKCsm/h4eHXXZ+ISJ4K86El4m1Sk4u2nRtw2SN1Tz31FAMGDMi3Te3atQkNDeX48eNO6y9dusTp06cJDQ3Nd/uzZ88SFxdH+fLlmT9/Pr6++Y8oHRUVxfjx40lPT8ff3z/H42PGjGHUqFHZP9tsNgU7ESk+XvihJVJg5UKKtp0bcNlQV6VKFapUqXLVdtHR0Zw5c4bNmzfTokULAJYuXYrdbicqKirP7Ww2G7Gxsfj7+7NgwQICAgKu+lxbt26lQoUKuQY6AH9//zwfExEpcl74oSVSYBFtjQ5DtkTy7CgRGGa08xAue/q1oBo0aEBcXByDBw9m48aNrFmzhuHDh9O3b9/snq9Hjx6lfv36bNy4ETACXdeuXUlLS2PatGnYbDaSkpJISkoiM9O4YHLhwoV89NFHbN++nb179/Lee+/x+uuvM2LECNNeq4iIk6wPLSx5NLBA4A0e9aElUmBWH6MHeF6BDiDuDY+63tRlj9QVxmeffcbw4cPp0qULVquV3r17884772Q/npGRwe7duzl37hwAW7Zsye4ZW7duXad97d+/n5o1a+Lr68uUKVP4+9//jsPhoG7durz11lsMHjy45F6YiEh+sj605vXD+JDK5cPLwz60RAqlwR3GrCsph53XB4YZfxsuPJzJtXD7cepcmcapE5ESkdfgqvW6wX2aBUe82J7F8Nnd4FsW7v4ILp5zq8G5C5sjPOJInYiIV4vsaQxbcnCt0SnizGFIGAe/r4Rzp6FMRbMrFDHH6n8b960ehnrdza2lBCjUiYh4AqvPlbG2HA749StI+gXWvwe3Pm9ubSJmOLQBDq4BHz9oM8zsakqE23eUEBGRv7BY4JanjeWNH8CFFHPrETHDmknGfZO+EFjN1FJKikKdiIgnqn8HVK5nBLpNH5ldjUjJOr4Tdn8HWKDtk2ZXU2IU6kREPJHVCh0uD4a+7j/GBeIi3mLN28Z9ZE+oXDf/th5EoU5ExFPdfDcER8C5k7BlptnViJSMM4dg2+fGcruRppZS0hTqREQ8lU8paP93Y3nNO3Ap3dx6RErCuilgvwS1O8ENzc2upkQp1ImIeLKm90P5MDh7DLbONrsakeKVdgo2Xz4qnfWFxoso1ImIeLJS/tDuCWN5zSTIvGRqOSLFauMHcOk8hDWDWh3NrqbEKdSJiHi65v2hTGX44wBs/9LsakSKR3oqbPjAWG7/d2NoHy+jUCci4un8ykD048byqv8Du93cekSKw5aZcOEMVKoL9W83uxpTKNSJiHiDVo+AfxCc3A27FppdjUjRunQR1k42lts96RbzuhYHhToREW8QEARRjxrLK/9lTCUm4im2zTM6A5WvBo37mF2NaRTqRES8RZuh4FvWmBN27xKzqxEpGvZMWD3JWI4eZnQO8lIKdSIi3qJMRWg50Fhe+aaO1oln2PUtnNpjHI1uMcDsakylUCci4k3ajgAffzi8AQ6sNrsakevjcMDqfxvLrYeAf3lz6zGZQp2IiDcpHwrNHzKWV/3L3FpErtf+lXBsC5QqDVGPmV2N6RTqRES8TbsnwVoKfl8OR340uxqRa5d1lK75Q1C2srm1uACFOhERbxNc40oPwZU6Widu6thP8PsysPhA9HCzq3EJCnUiIt6o/SjAAr99D0nbza5GpPCyerw2uhsqRJhaiqtQqBMR8UaV60LDu4zlVf9nbi0ihXVqH+z4n7Hc7klza3EhCnUiIt6qw1PG/a/z4eQec2sRKYw1bwMOuCkOQhqaXY3LUKgTEfFWoTdDve7An4aFEHF1tkT4+b/Gcvu/m1uLi1GoExHxZh2eNu5/mQt/HDS3FpGCWP8fyLwINaKhRhuzq3EpCnUiIt6seguo3Qnsly6f0hJxYef/gB+nG8s6SpeDQp2IiLe75Rnj/qdP4WySubWI5GfTNLiYClUj4cauZlfjchTqRES8XUQ7CG8Dmemw9l2zqxHJXcZ5WP+esdz+72CxmFuPC1KoExHxdhYL3HL52rofP4a0U+bWI5Kbnz6FcyeNwbMb/s3salySQp2IiEDdGKjWBDLSYMN7Zlcj4izzEqx9x1hu+wT4lDK3HhelUCciIsbRuqyesBs+hAsp5tYj8me/zoczh6BMZWj2oNnVuCyFOhERMdS/HarUh/QU2PSR2dWIGBx/GkexzVDwLW1uPS5MoU5ERAxW6+U5YYG1k2HPYtj2BexfBfZMc2sT77VnMRz/FfzKQ6tHzK7GpemktIiIXHFzb1j0PKSdgM/uvrI+MAziJkJkT/NqE+9hz4SDayE1GVa9ZaxrORBKB5talqvziCN1p0+f5oEHHiAwMJDg4GAGDRpEampqvtt06tQJi8XidHvsscec2hw6dIgePXpQpkwZqlatyjPPPMOlS5eK86WIiJhr93dGoPsrWyLM6wc7FpR8TeJddiyASTfDzNvhy0HGUTqASnXNrcsNeMSRugceeIDExEQWL15MRkYGAwcOZMiQIcyePTvf7QYPHswrr7yS/XOZMmWylzMzM+nRowehoaGsXbuWxMRE+vXrh6+vL6+//nqxvRYREdPYMyH+uTwedAAWiB8N9XuA1ackKxNvsWOB8eUBR87HFj4JpSvoaHE+3P5I3c6dO4mPj+ejjz4iKiqK9u3b8+677zJnzhyOHTuW77ZlypQhNDQ0+xYYGJj92KJFi9ixYweffvopTZs2pVu3bowfP54pU6Zw8eLF4n5ZIiIl7+BasOX3/6YDbEeNdiJFLftLRS6BLkv8aF3fmQ+3D3Xr1q0jODiYli1bZq+LiYnBarWyYcOGfLf97LPPqFy5MjfffDNjxozh3LlzTvtt1KgRISEh2etiY2Ox2Wz8+uuvue4vPT0dm83mdBMRcRupyUXbTqQw9KXiurn96dekpCSqVq3qtK5UqVJUrFiRpKS85zC8//77iYiIICwsjF9++YXnnnuO3bt389VXX2Xv98+BDsj+Oa/9TpgwgZdffvl6Xo6IiHnKhVy9TWHaiRSGvlRcN5cNdaNHj2bixIn5ttm5c+c173/IkCHZy40aNaJatWp06dKFffv2UadOnWva55gxYxg1alT2zzabjfDw8GuuUUSkREW0NXq52hLJ/RSYxXg8om1JVybeQF8qrpvLhrqnnnqKAQMG5Numdu3ahIaGcvz4caf1ly5d4vTp04SGhhb4+aKiogDYu3cvderUITQ0lI0bNzq1SU42vh3ktV9/f3/8/f0L/JwiIi7F6mMMWzKvH2Ah12AX94Y6SUjxyP5SkdcpWH2puBqXDXVVqlShSpUqV20XHR3NmTNn2Lx5My1atABg6dKl2O327KBWEFu3bgWgWrVq2ft97bXXOH78ePbp3cWLFxMYGEhkZGQhX42IiJuI7An3zjIuWP/rh2t4lHoeSvGx+kDMOPhqSC4PWow7fanIl9t3lGjQoAFxcXEMHjyYjRs3smbNGoYPH07fvn0JCwsD4OjRo9SvXz/7yNu+ffsYP348mzdv5sCBAyxYsIB+/fpxyy230LhxYwC6du1KZGQkDz30ED///DM//PADL7zwAsOGDdPROBHxbJE9YeR26P8N9J4Gd1yeSP3wejjyo7m1iWc7fvmyKstfgltgmPFlQ18q8uWyR+oK47PPPmP48OF06dIFq9VK7969eeedd7Ifz8jIYPfu3dm9W/38/FiyZAmTJk0iLS2N8PBwevfuzQsvvJC9jY+PD9988w1Dhw4lOjqasmXL0r9/f6dx7UREPJbVB2p1uPLz4Y2w9VP44R/w8A9gsZhXm3imPw7AuinG8j2zoHSQ0SmiXIhxylVH6K7K4nA48hkQRq6HzWYjKCiIlJQUpzHwRETcju0YvNsCMs7BPTOhYS+zKxJPM/ch2LkAaneCh77WFwcKnyPc/vSriIiUgMAwaDvCWF4yFi6lm1uPeJYDq41AZ7FC7AQFumukUCciIgXT9gnjVNgfB2DjVLOrEU9hz4TvRxvLLR+GEHVGvFYKdSIiUjD+5eDWy9cer/wnnDttbj3iGX76BJK3QUAQdPqH2dW4NYU6EREpuKYPQMjNcCEFVr5pdjXi7i6kQMJ4Y7njaChbydx63JxCnYiIFJzVB7pe/hDeOBVO7TO3HnFvK/8F505CpRuh9WCzq3F7CnUiIlI4dW6FureBPcPoNCFyLU7tg/XvGcuxr4OPr7n1eACFOhERKbyu442eijsXwsG1Zlcj7mjRi8YXgzpd4MbbzK7GIyjUiYhI4VVtAM37G8s/PA92u7n1iHv5fTns/taYOSL2dQ1hUkQU6kRE5Np0/gf4lYNjW2D7l2ZXI+4i8xLEX+7l2uoRqFrf3Ho8iEKdiIhcm3JVof3fjeWElyHjvLn1iHvYMhOO/woBwdBptNnVeBSFOhERuXbRwyDwBkg5fOWid5G8nD8Dy14zljv/A8pUNLUcT6NQJyIi1863NHR5yVhe9RaknjC3HnFtK9+Ec6egcj1j9ggpUgp1IiJyfRrdC9WawsWzsHyC2dWIqzq5Fza8byzHaQiT4qBQJyIi18dqhdjLp9Q2z4ATu00tR1zUoufBfglu7Ap1Y8yuxiMp1ImIyPWr2R7q9QBHpjH+mMif7U2A3+LBWsoYwkSKhUKdiIgUjdteMT609/xgjEMmAsYQJj9cHsKk9RCofKO59XgwhToRESkaletCy0HG8g8vgD3T3HrENWz+GE7sgtIVoeOzZlfj0RTqRESk6HR8DvyDIHkb/DzH7GrEbOdOOw9hUrqCufV4OIU6EREpOmUrwS1PG8tLx8PFNHPrEXOtmAjn/4CqkdBioNnVeDyFOhERKVpRj0JwBJxNhLWTza5GzHJiN2ycaizHvg4+pcytxwso1ImISNEq5Q8x44zlNW/D2SRTyxGT/PC80Ru6Xneo09nsaryCQp2IiBS9hndB9daQkQZLXzW7GilpexbD3sVg9YWu+v2XFIU6EREpehbLlQGJf/oUkrabW4+UnMyMK0OYRD0KleqYW48X0QluEREpHuGtjSN2v843TsXd8hSkHodyIRDRFqw+ZlcoRcWeCQfXQmoyHFoPJ3+DMpU1hEkJU6gTEZHi02Us7FwI+5cbtyyBYRA3ESJ7mlWZFJUdCyD+ObAdc17f4A4ICDKnJi+l068iIlJ8krYZ833+lS0R5vUzAoG4rx0LjN/jXwMdGPMA6/dbohTqRESkeNgzjSM4uXIYd/GjNfOEu8r+/TrybqPfb4lSqBMRkeJxcG3uR3CyOcB21Ggn7ke/X5ejUCciIsUjNblo24lr0e/X5SjUiYhI8SgXUrTtxLXo9+tyFOpERKR4RLQ1erliybtN4A1GO3E/EW2hfLV8Glj0+y1hCnUiIlI8rD7GsCVAnsEu5mWNV+eurD5QtUEeD17+fce9od9vCfKIUHf69GkeeOABAgMDCQ4OZtCgQaSmpubZ/sCBA1gsllxvn3/+eXa73B6fM2dOSbwkERHPENkT7p0FgX85omO5/PFzSBfRu63d8bBvqbFcppLzY4Fhxu9d4xCWKIvD4cinL7J76NatG4mJiXzwwQdkZGQwcOBAWrVqxezZs3Ntn5mZyYkTJ5zWffjhh7z55pskJiZSrlw5wAh1H3/8MXFxcdntgoODCQgIKFBdNpuNoKAgUlJSCAwMvMZXJyLiAf4840C5ELh0AT6723js3lkQeae59UnhpB6H/0TDuZPQZhh0He/8+9WMIUWisDnC7WeU2LlzJ/Hx8WzatImWLVsC8O6779K9e3f+9a9/ERYWlmMbHx8fQkNDndbNnz+fe++9NzvQZQkODs7RVkRECsnqA7U6OK9rNxLWTIIFIyCsGQTXMKMyKSyHA/433Ah0VRtCl5dy//1KiXP706/r1q0jODg4O9ABxMTEYLVa2bBhQ4H2sXnzZrZu3cqgQYNyPDZs2DAqV65M69atmT59Ovkd2ExPT8dmszndREQkD7e+ADe0gAsp8OVgyMxl5glxPT9Ohz0/gI8f9J4KvgU7eyXFz+1DXVJSElWrVnVaV6pUKSpWrEhSUlKB9jFt2jQaNGhA27bOPXReeeUV5s2bx+LFi+nduzePP/447777bp77mTBhAkFBQdm38PDwwr8gERFv4eMLvaeBfyAcXg8rJl59GzHXyT3ww/PGcsw4CGloajnizGVD3ejRo/PszJB127Vr13U/z/nz55k9e3auR+lefPFF2rVrR7NmzXjuued49tlnefPNN/Pc15gxY0hJScm+HT58+LrrExHxaBVrwe3/NpZXvgn7V5lbj+Tt0kX48hG4dB5qd4KooWZXJH/hstfUPfXUUwwYMCDfNrVr1yY0NJTjx487rb906RKnT58u0LVwX3zxBefOnaNfv35XbRsVFcX48eNJT0/H398/x+P+/v65rhcRkXw0uht+XwY/fQpfDYbH1kDZSlffTkrWijcgcSsEBEOv98DqsseFvJbLhroqVapQpUqVq7aLjo7mzJkzbN68mRYtWgCwdOlS7HY7UVFRV91+2rRp9OzZs0DPtXXrVipUqKDgJiJS1Lr9Ew5tgFN74H/D4L7/giWfQYulZB1cC6veMpbvePvyoNLiatw+Zjdo0IC4uDgGDx7Mxo0bWbNmDcOHD6dv377ZPV+PHj1K/fr12bhxo9O2e/fuZeXKlTzyyCM59rtw4UI++ugjtm/fzt69e3nvvfd4/fXXGTFiRIm8LhERr+JXFu6eblx8/9v3sPFDsyuSLBdS4KtHAQc0uR8a9jK7IsmD24c6gM8++4z69evTpUsXunfvTvv27fnwwyv/IWRkZLB7927OnTvntN306dOpXr06Xbt2zbFPX19fpkyZQnR0NE2bNuWDDz7grbfeYuzYscX+ekREvFK1xtD1VWN50QuQ+Iu59Yjhu2ch5RAER0A3dWZxZR4x+LCr0uDDIiKF5HDAf+8zjtZVuhEeXWEcxRNzbP8SvnjYmAFk4PdQo43ZFXmVwuYIjzhSJyIiHsJigTunGBPFn9oD3z9rdkXeK+UIfPN3Y7nDUwp0bkChTkREXEvZSvC3qYDF6BG77QuzK/I+djvMf8y4ni6sOXR8zuyKpAAU6kRExPXU6gC3PGMsLxwJp/ebWo7XWT8FDqwC3zJGwPbxNbsiKQCFOhERcU0dn4PwNnDxLHw5CDIzzK7IOyRtg4RXjOXY16FyXXPrkQJTqBMREdfkU8qYWzQgCI5uhqWvml2R58s4f3ke3otQrzu0GGB2RVIICnUiIuK6gmtAz8tzbq+ZBPuWmlqOx1vyMpzYCWWrGu+7BoB2Kwp1IiLi2iLvhBYDjeWvHoXU4/m3l2uzNwE2vGcs9/oPlK1sbj1SaAp1IiLi+uImQJUGkHYcvh5q9M6UopN2Cr5+3FhuNRhuvM3ceuSauOzcryIiItl8SxvTiE3tDHuXwLp3jaE2UpOhXAhEtAWrj9lVug97pjGfa2oylKsKGz6A1CSofBPc9orZ1ck1UqgTERH3EBJp9Mb8dhQsfsn5scAwiJsIkT3Nqc2d7FgA8c+B7ZjzeouPMXyJXxlz6pLrptOvIiLiPvK6zsuWCPP6GYFF8rZjgfE+/TXQATgy4cyhkq9JioxCnYiIuAd7JsSPzuPBy9OYx4822klO9kzjCB15Tflu0fvn5hTqRETEPRxcm/sRpmwOsB012klOev88nkKdiIi4h9Tkom3nbfT+eTyFOhERcQ/lQoq2nbfR++fxFOpERMQ9RLQ1ermS3ywHFriYVlIVuZeLaVz1vQu8wXifxS0p1ImIiHuw+hjDlgA5w0nWzw6Ycx+smwKOvDoEeBmHA9a8Df/ty5VOEnm8f3FvaLw/N6ZQJyIi7iOyJ9w7CwKrOa8PDIO7P4ZmD4HDDj/8AxY+CZcumlOnq8g4D18NvjyunwOa9zfep9zev3tnaZw/N2dxOPRVprjYbDaCgoJISUkhMDDQ7HJERDyH04wIf5pRwuGA9f+BH54HHFCzgxFWylQ0u+KSl3IE5jwAiVvBWso4CtfqEbBY8n7/xKUUNkco1BUjhToREZP89gN88TBcTIUKteD+eVDlJrOrKjmH1sPch4y5cstUgntmQq0OZlclhVTYHKHTryIi4nluioVBiyG4BvyxHz6Kgb0JZldVMjbPhBm3G4Eu5GYYvEyBzkso1ImIiGcKiYRHlkJ4G0hPgc/ugQ0fml1V8cnMgG+fhoVPgD0DIu+EQYugQoTZlUkJUagTERHPVa4K9F8ATe4z5jb9/hn49ikjAHmStFPwyV2waarxc+cXjFOufmXNrUtKlEKdiIh4tlL+0Os9iHkZsMCmj+Czu+H8H2ZXVjSStsHUTnBgFfiVg76zoeMzRocI8SoKdSIi4vksFmg/Evp+Br5l4fflxnV2J/caj9szYf8q2PaFce9qk9rnVd+O/8G0rnDmkNEh5JElUL+HubWKadT7tRip96uIiAtK2gaz+4LtCAQEQdRQ+GmW82T3gWHGQMeuMG7bjgUQ/1zO+qq3hh1fGz/X7gx3T/fOoVs8mIY0cSEKdSIiLupsMsx9AI5syqPB5VOXZg/Iu2MBzOvHlZkgctFmGNz2CviUKrGypGRoSBMREZGrKR8CD/0PfEvn0eByiIofbd6pWHumcYQuv0BXugJ0Ha9AJ4BCnYiIeKtjW4xptPLkANtRY+YFMxxc63zKNTfn/zCvPnE5CnUiIuKdUpML1u7Eb8VbR24cjnxODf9FQV+HeDwdrxUREe9ULqRg7b4bBT/PhvrdoV53qFK/eIYLuZRu9Gz97XvYHW905CiIgr4O8XgKdSIi4p0i2hq9SG2J5Hndmo+vMVDx0R+NW8IrxtAh9bpDvW5QIzr369nsmcZp0dRkI3RFtAWrT852aSdhzyLY/R3sW2bMVZulVGmjrksX8ngBFqP+iLaFfOHiqTzi9Otrr71G27ZtKVOmDMHBwQXaxuFw8NJLL1GtWjVKly5NTEwMe/bscWpz+vRpHnjgAQIDAwkODmbQoEGkpqbmsUcREXErVh9j2BIgu7drNotx6z0dRu2C2yfBjV3Bx9+YS3b9FJh5O7xZB74aAr9+DelnjU13LIBJNxuPfznIuJ90s7He4YATu2H1v2FaLLxZF74eCjsXGoGufDVoMRDunwfP7Ye/Tb1SS476gLg3cg+L4pU8YkiTsWPHEhwczJEjR5g2bRpnzpy56jYTJ05kwoQJzJw5k1q1avHiiy+ybds2duzYQUBAAADdunUjMTGRDz74gIyMDAYOHEirVq2YPXt2gerSkCYiIm4g13HgbjAC01+HM0lPhX1LYff38Fs8nD995TEfP6hcD5K35f1c5UJyXgMX2sg48ndTHFRrCta/HG8pTH3iUbx6nLoZM2YwcuTIq4Y6h8NBWFgYTz31FE8//TQAKSkphISEMGPGDPr27cvOnTuJjIxk06ZNtGzZEoD4+Hi6d+/OkSNHCAsLu2o9CnUiIm6ioKdL/yzzEhzZCLu+NU6fnv69YM9l9YXaHY0Qd1McBIcXT33i9gqbI7zymrr9+/eTlJRETExM9rqgoCCioqJYt24dffv2Zd26dQQHB2cHOoCYmBisVisbNmzgrrvuMqN0EREpDlYfqNWhcNv4lDLCVURb6Poq/Pxf41Tq1fT9DG6KLf76xOt4ZahLSkoCICTEucdQSEhI9mNJSUlUrVrV6fFSpUpRsWLF7DZ/lZ6eTnp6evbPNputKMsWERFXZbEYp18LIuvaO5Ei5rIdJUaPHo3FYsn3tmvXLrPLdDJhwgSCgoKyb+HhBTikLiIinqGgQ4toCBIpJi57pO6pp55iwIAB+bapXbv2Ne07NDQUgOTkZKpVq5a9Pjk5maZNm2a3OX78uNN2ly5d4vTp09nb/9WYMWMYNWpU9s82m03BTkTEW1x1iBQNQSLFy2VDXZUqVahSpUqx7LtWrVqEhoaSkJCQHeJsNhsbNmxg6FDjeojo6GjOnDnD5s2badGiBQBLly7FbrcTFRWV6379/f3x9/cvlppFRMTFZQ2RMq8fxpAjfw52GoJEip/Lnn4tjEOHDrF161YOHTpEZmYmW7duZevWrU5jytWvX5/58+cDYLFYGDlyJK+++ioLFixg27Zt9OvXj7CwMHr16gVAgwYNiIuLY/DgwWzcuJE1a9YwfPhw+vbtW6CeryIi4oUie8K9syCwmvP6wDBjvYYgkWLkskfqCuOll15i5syZ2T83a9YMgGXLltGpUycAdu/eTUpKSnabZ599lrS0NIYMGcKZM2do37498fHx2WPUAXz22WcMHz6cLl26YLVa6d27N++8807JvCgREXFPkT2hfg8NQSIlzqPGqXM1GqdORERErlVhc4RHnH4VERER8XYKdSIiIiIeQKFORERExAMo1ImIiIh4AIU6EREREQ+gUCciIiLiARTqRERERDyAQp2IiIiIB1CoExEREfEAHjFNmKvKmqzDZrOZXImIiIi4m6z8UNDJvxTqitHZs2cBCA8PN7kSERERcVdnz54lKCjoqu0092sxstvtHDt2jPLly2OxWMwux3Q2m43w8HAOHz6suXALSO9Z4ej9Kjy9Z4Wj96vw9J4Vzp/fr/Lly3P27FnCwsKwWq9+xZyO1BUjq9VK9erVzS7D5QQGBuoPu5D0nhWO3q/C03tWOHq/Ck/vWeFkvV8FOUKXRR0lRERERDyAQp2IiIiIB1CokxLj7+/P2LFj8ff3N7sUt6H3rHD0fhWe3rPC0ftVeHrPCud63i91lBARERHxADpSJyIiIuIBFOpEREREPIBCnYiIiIgHUKgTU7z22mu0bduWMmXKEBwcbHY5LmnKlCnUrFmTgIAAoqKi2Lhxo9kluayVK1dyxx13EBYWhsVi4euvvza7JJc2YcIEWrVqRfny5alatSq9evVi9+7dZpfl0t577z0aN26cPXZYdHQ033//vdlluY033ngDi8XCyJEjzS7FZY0bNw6LxeJ0q1+/fqH2oVAnprh48SL33HMPQ4cONbsUlzR37lxGjRrF2LFj2bJlC02aNCE2Npbjx4+bXZpLSktLo0mTJkyZMsXsUtzCihUrGDZsGOvXr2fx4sVkZGTQtWtX0tLSzC7NZVWvXp033niDzZs38+OPP3Lrrbdy55138uuvv5pdmsvbtGkTH3zwAY0bNza7FJfXsGFDEhMTs2+rV68u1Pbq/SqmmjFjBiNHjuTMmTNml+JSoqKiaNWqFZMnTwaMKefCw8MZMWIEo0ePNrk612axWJg/fz69evUyuxS3ceLECapWrcqKFSu45ZZbzC7HbVSsWJE333yTQYMGmV2Ky0pNTaV58+b85z//4dVXX6Vp06ZMmjTJ7LJc0rhx4/j666/ZunXrNe9DR+pEXMzFixfZvHkzMTEx2eusVisxMTGsW7fOxMrEU6WkpABGSJGry8zMZM6cOaSlpREdHW12OS5t2LBh9OjRw+n/M8nbnj17CAsLo3bt2jzwwAMcOnSoUNtr7lcRF3Py5EkyMzMJCQlxWh8SEsKuXbtMqko8ld1uZ+TIkbRr146bb77Z7HJc2rZt24iOjubChQuUK1eO+fPnExkZaXZZLmvOnDls2bKFTZs2mV2KW4iKimLGjBnUq1ePxMREXn75ZTp06MD27dspX758gfahI3VSZEaPHp3jIs+/3hRKRFzLsGHD2L59O3PmzDG7FJdXr149tm7dyoYNGxg6dCj9+/dnx44dZpflkg4fPsyTTz7JZ599RkBAgNnluIVu3bpxzz330LhxY2JjY/nuu+84c+YM8+bNK/A+dKROisxTTz3FgAED8m1Tu3btkinGjVWuXBkfHx+Sk5Od1icnJxMaGmpSVeKJhg8fzjfffMPKlSupXr262eW4PD8/P+rWrQtAixYt2LRpE2+//TYffPCByZW5ns2bN3P8+HGaN2+evS4zM5OVK1cyefJk0tPT8fHxMbFC1xccHMxNN93E3r17C7yNQp0UmSpVqlClShWzy3B7fn5+tGjRgoSEhOyL/e12OwkJCQwfPtzc4sQjOBwORowYwfz581m+fDm1atUyuyS3ZLfbSU9PN7sMl9SlSxe2bdvmtG7gwIHUr1+f5557ToGuAFJTU9m3bx8PPfRQgbdRqBNTHDp0iNOnT3Po0CEyMzOze/vUrVuXcuXKmVucCxg1ahT9+/enZcuWtG7dmkmTJpGWlsbAgQPNLs0lpaamOn2b3b9/P1u3bqVixYrUqFHDxMpc07Bhw5g9ezb/+9//KF++PElJSQAEBQVRunRpk6tzTWPGjKFbt27UqFGDs2fPMnv2bJYvX84PP/xgdmkuqXz58jmu0SxbtiyVKlXStZt5ePrpp7njjjuIiIjg2LFjjB07Fh8fH+67776C78QhYoL+/fs7gBy3ZcuWmV2ay3j33XcdNWrUcPj5+Tlat27tWL9+vdkluaxly5bl+u+pf//+ZpfmknJ7rwDHxx9/bHZpLuvhhx92REREOPz8/BxVqlRxdOnSxbFo0SKzy3IrHTt2dDz55JNml+Gy+vTp46hWrZrDz8/PccMNNzj69Onj2Lt3b6H2oXHqRERERDyAer+KiIiIeACFOhEREREPoFAnIiIi4gEU6kREREQ8gEKdiIiIiAdQqBMRERHxAAp1IiIiIh5AoU5ERETEAyjUiYhcp+XLl2OxWBg3bpzZpYiIF1OoExH5E4vFUqhbSdbVqVOnEns+EXE/pcwuQETElYwdOzbHukmTJpGSkpLrYyIirkKhTkTkT3I7hTpjxgxSUlJ0elVEXJpOv4qIFKEff/yR2267jfLlyxMUFMRdd93FgQMHcm27f/9+HnnkEWrUqIG/vz/VqlVjwIABHDx4MLtN1vV6ACtWrHA69TtjxgwAUlJSmDhxIh07diQsLAw/Pz/CwsLo168f+/btK+6XLCIuwuJwOBxmFyEi4spq1qzJwYMHyeu/y+XLl9O5c2e6d+/OsmXL6Ny5Mw0aNOCnn35i6dKl1KlTh+3btxMQEJC9zYYNG4iNjSUtLY3bb7+dG2+8kQMHDjB//nwqVqzIunXrqF27NgcOHGDGjBm8/PLLREREMGDAgOx99OrVi6ZNm7J+/Xo6duxI586dqVOnDmXLlmXXrl189913BAUFsWXLFiIiIor7bRIRkynUiYhcRUFDHcCcOXPo06dP9mP9+vXjk08+4b///S99+/YFICMjg5tuuolTp06xYsUKmjVrlt1+9erVdOrUiW7durFw4cLs9RaLhY4dO7J8+fIcz5+SkkJmZiYVK1Z0Wr9s2TJiYmJ4+OGHmTp16jW/fhFxDzr9KiJSRG655RanQAfw8MMPA7Bp06bsdd988w0HDhzgmWeecQp0AO3bt+fOO+/ku+++w2azFeh5g4KCcgQ6gM6dO9OwYUOWLFlS2JciIm5IHSVERIpIixYtcqyrXr06AGfOnMlet379egB2796da+eLpKQk7HY7v/32Gy1btizQcy9fvpxJkyaxYcMGTp48yaVLl7If8/PzK8SrEBF3pVAnIlJEAgMDc6wrVcr4bzYzMzN73enTpwH47LPP8t1fWlpagZ73888/p0+fPpQrV47Y2Fhq1qxJmTJlsjtT/LnjhYh4LoU6EZESlhX+Fi5cyO23337d+xs3bhwBAQFs3ryZG2+80emxOXPmXPf+RcQ96Jo6EZESFhUVBcC6desKvI3VanU62vdn+/bto0GDBjkCXWJiIr///vu1FyoibkWhTkSkhN15553UqFGDt956i5UrV+Z4PCMjg9WrVzutq1ixIkeOHMl1fxEREezdu5fk5OTsdRcuXGDo0KFkZGQUbfEi4rJ0+lVEpIT5+/vzxRdf0K1bNzp27Mitt95Ko0aNsFgsHDx4kFWrVlGpUiV27dqVvc2tt97KvHnz6NWrF82aNcPHx4eePXvSuHFjRowYwYgRI2jWrBl33303ly5dYvHixTgcDpo0acLPP/9s4qsVkZKiUCciYoJWrVrx888/8+abb/Ldd9+xZs0a/P39ueGGG+jVqxf33XefU/u3334bgKVLl7Jw4ULsdjvVq1encePGDBs2DF9fX959912mTp1KcHAwPXr0YMKECdxzzz1mvDwRMYEGHxYRERHxALqmTkRERMQDKNSJiIiIeACFOhEREREPoFAnIiIi4gEU6kREREQ8gEKdiIiIiAdQqBMRERHxAAp1IiIiIh5AoU5ERETEAyjUiYiIiHgAhToRERERD6BQJyIiIuIBFOpEREREPMD/A+1D+BNhJiS2AAAAAElFTkSuQmCC",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"from matplotlib import pyplot as plt\n",
"\n",
"entry = df.iloc[0] # Pick the first qubit\n",
"\n",
"plt.plot([], []) # advance color cycle in anticipation of future analysis\n",
"plt.plot(entry['thetas'], entry['z_vals'], 'o-')\n",
"plt.xlabel('Theta', fontsize=14)\n",
"plt.ylabel(r'$\\langle Z \\rangle$', fontsize=14)\n",
"plt.title(\"Qubit {}\".format(entry['qubit']), fontsize=14)\n",
"plt.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "rYQk2AMaZDN-"
},
"source": [
"## How does it compare to analytical results?\n",
"\n",
"You could imagine setting up a separate task for computing and saving analytic results. For this single qubit example, we'll just compute it on the fly."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"execution": {
"iopub.execute_input": "2024-12-15T11:10:04.989967Z",
"iopub.status.busy": "2024-12-15T11:10:04.989689Z",
"iopub.status.idle": "2024-12-15T11:10:05.032188Z",
"shell.execute_reply": "2024-12-15T11:10:05.031527Z"
},
"id": "qFRFmu7UZDN-"
},
"outputs": [
{
"data": {
"text/plain": [
"array([ 0. , 0.25881901, 0.5 , 0.70710677, 0.86602539,\n",
" 0.96592587, 1. , 0.96592587, 0.86602539, 0.70710677,\n",
" 0.5 , 0.25881901, 0. , -0.25881901, -0.5 ,\n",
" -0.70710677, -0.86602539, -0.96592587, -1. , -0.96592587,\n",
" -0.86602539, -0.70710677, -0.5 , -0.25881901, 0. ])"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"qubit = cirq.LineQubit(0)\n",
"thetas = df.iloc[0]['thetas']\n",
"\n",
"class _DummyMeasurementGate(cirq.IdentityGate):\n",
" \"\"\"A dummy measurement used to trick simulators into applying\n",
" readout error when using PauliString.expectation_from_xxx.\"\"\"\n",
"\n",
" def _measurement_key_(self):\n",
" return 'dummy!'\n",
"\n",
" def __repr__(self):\n",
" if self.num_qubits() == 1:\n",
" return '_DummyMeasurementGate'\n",
" return '_DummyMeasurementGate({!r})'.format(self.num_qubits())\n",
"\n",
" def __str__(self):\n",
" if (self.num_qubits() == 1):\n",
" return 'dummyM'\n",
" else:\n",
" return 'dummyM({})'.format(self.num_qubits())\n",
"\n",
" def _circuit_diagram_info_(self, args):\n",
" from cirq import protocols\n",
" return protocols.CircuitDiagramInfo(\n",
" wire_symbols=('dM',) * self.num_qubits(), connected=True)\n",
"\n",
"def dummy_measure(qubits):\n",
" return _DummyMeasurementGate(num_qubits=len(qubits)).on(*qubits)\n",
"\n",
"def get_circuit(theta):\n",
" return cirq.Circuit([\n",
" cirq.ry(theta).on(qubit),\n",
" dummy_measure([qubit])\n",
" ])\n",
"\n",
"true_z_vals = []\n",
"for theta in thetas:\n",
" wf = cirq.final_state_vector(get_circuit(theta))\n",
" op = cirq.Z(qubit) * 1.\n",
" true_z_val = op.expectation_from_state_vector(wf, qubit_map={qubit:0}, check_preconditions=False)\n",
" true_z_vals.append(np.real_if_close(true_z_val).item())\n",
"\n",
"true_z_vals = np.array(true_z_vals)\n",
"true_z_vals"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"execution": {
"iopub.execute_input": "2024-12-15T11:10:05.034695Z",
"iopub.status.busy": "2024-12-15T11:10:05.034393Z",
"iopub.status.idle": "2024-12-15T11:10:05.334572Z",
"shell.execute_reply": "2024-12-15T11:10:05.333902Z"
},
"id": "6fksa2IhZDOB"
},
"outputs": [
{
"data": {
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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(11, 4))\n",
"ax1.plot(thetas, true_z_vals, '-', label='True')\n",
"ax1.plot(entry['thetas'], entry['z_vals'], 'o-', label='Data')\n",
"\n",
"ax2.plot([], []) # advance color cycle\n",
"ax2.plot(entry['thetas'], np.abs(true_z_vals - entry['z_vals']), 'o-', label='|Data - True|')\n",
"\n",
"ax1.legend(loc='best', frameon=False)\n",
"ax2.legend(loc='best', frameon=False)\n",
"ax1.set_xlabel('Theta', fontsize=14)\n",
"ax2.set_xlabel('Theta', fontsize=14)\n",
"\n",
"fig.tight_layout()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "tIRUK5iTZDOE"
},
"source": [
"## Learn a model\n",
"\n",
"Our experimental data has some wiggles in it, but it also has a clear pattern of deviation from the true values. We can hypothesize a (parameterized) noise model and then use function minimization to fit the noise model parameters."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"execution": {
"iopub.execute_input": "2024-12-15T11:10:05.337930Z",
"iopub.status.busy": "2024-12-15T11:10:05.337336Z",
"iopub.status.idle": "2024-12-15T11:10:05.344631Z",
"shell.execute_reply": "2024-12-15T11:10:05.343990Z"
},
"id": "XqjS1vQ1ZDOF"
},
"outputs": [],
"source": [
"import scipy.optimize\n",
"import cirq.contrib.noise_models as ccn\n",
"\n",
"def get_obj_func(data_expectations):\n",
" all_results = []\n",
" def obj_func(x):\n",
" depol_prob, decay_prob, readout_prob = x\n",
" \n",
" if depol_prob < 0 or decay_prob < 0 or readout_prob < 0:\n",
" # emulate constraints by returning a high cost if we\n",
" # stray into invalid territory\n",
" return 1000\n",
"\n",
" sim = cirq.DensityMatrixSimulator(\n",
" noise=ccn.DepolarizingWithDampedReadoutNoiseModel(\n",
" depol_prob=depol_prob, decay_prob=decay_prob, bitflip_prob=readout_prob))\n",
" \n",
" results = []\n",
" for theta in thetas: \n",
" density_result = sim.simulate(get_circuit(theta))\n",
" op = cirq.Z(qubit) * 1.\n",
" true_z_val = op.expectation_from_state_vector(\n",
" density_result.final_density_matrix, \n",
" qubit_map=density_result.qubit_map, check_preconditions=False)\n",
" results.append(np.real_if_close(true_z_val).item())\n",
"\n",
" results = np.array(results)\n",
" all_results.append(results)\n",
" cost = np.sum(np.abs(results - data_expectations))\n",
" return cost\n",
" \n",
" return obj_func, all_results"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"execution": {
"iopub.execute_input": "2024-12-15T11:10:05.347647Z",
"iopub.status.busy": "2024-12-15T11:10:05.347013Z",
"iopub.status.idle": "2024-12-15T11:10:05.350513Z",
"shell.execute_reply": "2024-12-15T11:10:05.349922Z"
},
"id": "XGzmt2afZDOI"
},
"outputs": [],
"source": [
"def print_result(x):\n",
" depol_prob, decay_prob, readout_prob = x\n",
" print(f'depol = {depol_prob:.2%}')\n",
" print(f'decay = {decay_prob:.2%}')\n",
" print(f'readout = {readout_prob:.2%}')"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"execution": {
"iopub.execute_input": "2024-12-15T11:10:05.352764Z",
"iopub.status.busy": "2024-12-15T11:10:05.352546Z",
"iopub.status.idle": "2024-12-15T11:10:05.357309Z",
"shell.execute_reply": "2024-12-15T11:10:05.356683Z"
},
"id": "ccLRWJCcZDOK"
},
"outputs": [
{
"data": {
"text/plain": [
"5"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dfb = df\n",
"dfb = dfb.head(5) # Remove this to do all qubits\n",
"len(dfb)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"execution": {
"iopub.execute_input": "2024-12-15T11:10:05.359823Z",
"iopub.status.busy": "2024-12-15T11:10:05.359234Z",
"iopub.status.idle": "2024-12-15T11:10:19.077615Z",
"shell.execute_reply": "2024-12-15T11:10:19.076907Z"
},
"id": "9NyiVPqHZDON"
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optimization terminated successfully.\n",
" Current function value: 0.046614\n",
" Iterations: 24\n",
" Function evaluations: 46\n",
"Qubit 3, 2\n",
"depol = 0.28%\n",
"decay = 1.18%\n",
"readout = 1.14%\n"
]
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optimization terminated successfully.\n",
" Current function value: 0.074939\n",
" Iterations: 22\n",
" Function evaluations: 44\n",
"Qubit 4, 1\n",
"depol = 0.25%\n",
"decay = 1.20%\n",
"readout = 1.14%\n"
]
},
{
"data": {
"image/png": 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LD7Nbz2owcNTsowZXpKq+EF6vT58+vPHGG8yfP5+ePXvy6aefsmPHDttUl5CQEB5//HEee+wxrFYrl112GZmZmaxbt47Q0FBGjBih8zMQ9ZqiQF5a2e8NWksARHguKVYv7Kb6GbAPhOgz1S8jI4Pk5GQKCwvZu3cv77//PkuXLmX+/Pm2DIhWrVqxePFi1q9fT0REBNOmTSMlJcUuCJKYmMjGjRs5dOgQwcHBREZG0qpVK+bPn8/KlStp1qwZn3zyCX/88Yctw8SV+vTpw9y5c7nxxhsJDw9n4sSJdkVT+/btS8+ePUlKSmLKlClccMEFnDhxguXLl3PTTTfVeDqxI0gQRLi1jNSj+BoMfBwees5tRkVhYE4ugYoC+RnV36jRVPssjeBYYiwW7szK4ZOw0HMCM+v8/ehWUIglMEbeXEJ4uf79+/Pcc88xfvx4CgoKuPvuuxk+fDjbt2+3rfPSSy/RoEEDJk+ezIEDBwgPD6dLly48/fTTOo5ceIXCbLAUlv1ekKHbUISok9K6cVKsXpTP+j739eD6qX5azUp/f38aNmzIZZddxqZNm+jSpYttnWeffZYDBw7Qv39/AgMDuffee0lKSiIzM9O2zuOPP86IESNo164d+fn5HDx4kPvuu4+tW7cydOhQDAYDw4YN48EHH6xVnY+6mjBhAgcPHuSGG24gLCyMl156yS4TxGAw8N133/HMM88watQoTp06RVxcHFdccYVuJS0MSlXzVeqprKwswsLCyMzMJDT03INr4R52J2cxbfbbZER/wi4/X3ysViwGw1k1OHLVlUd865rpJ1YLTG8PWSftCqwaFMXWceamrDxO+L/P9OG9z22rK4SgoKCAgwcP2vWYF56nqv+jfM+Wcdu/RfoBeLtcAd7bF8EF/fQbjxC1UVo37tzpD6UnqaRYvcdw6L6BizOD1qxZw8iRI20dX0TtGAwGDh48WOGUGUfvc8gRmnBL6/al8cSXCzDHLSTd7EuExcI7KaeIKbGUK2hqweWt/Mql2p1dYHV1UACvR0bwv9BAOuU+xj3vPsv00YOIDZWDPCGEEG4mN83+d8kEEZ6mtG5cxfUfFMAgxeq9VV2yvoVXMOo9ACHO9tXmYzz75QysCe+RblZoWlzCZydS6FhYTJzFQveCwrIACLi+lZ+WahcabzeeOwhjeuxV+FsV/gqCgqAXeGzmu+xJznbd2IQQQojqyD1l/3v+GX3GIURtldaNq5wCWrF6IYQoRzJBhNtQFIV3ftrH6j9e5UyjP7AYDHQphrcHzCcs66TbzO8DKi2w2sdoYvb+lYxZ+zj7/EzExHzEGx8f5+6hE+jVMtr14xRCCCEqck4QJEOXYQhRa9UtQi/F6oWTJSYmMnbsWL2H4fEmTZrkspa5EgQRbqHYYuWZr/7mxNEJ7I8/BhgYoATy8tCl+IXEqyvVsKuL01WSatehRX8+C2vCA8vv4JAP5CWs4KuFR0kZ8CY3dWmsw0CFEEKIs8h0GOHpgqtZUNE32LnjEF5PgiCO8fzzz7vssWQ6jNBdTmEJ981ZQ0rKvfwVfQyA/wQ05/U715YFQKAs6NDhFnXpxvM7G0W35dNbV9HVJ4Ico5GfEnay+cc7effHf/DCWsRCCCHcjRYEMZaeD5NMEOFpmvZSs4IxVL3e/+6D396ColyXDEsI4f4kCCJ0lZJVwD3vLSSv+FG2hOZjUhQmxvfl0SFfY/Tx03t4dRIWGMUHt/3IdaGtKTEY+Do2nePb7+ClBb9QbLHqPTwhhBDeTJsOE9FMXUpNEOFptGL1FSoNjITEq1lOPz4PMzrDxvehpLCS+wghvIUEQYRu9iRnM/7dGeQEvcw/gRBoVfi/Dg9za7+39B6aw/iafHktaRH3NFbbDi6LtHA67QGe+/BLcgpLdB6dEEIIr6UFQaJbqUuZDiM8kVas/uwpL6EJMOQTeOwfSJoF4U0hNxW+Hw//1xW2zAeL7IcJ4a0kCCKcz2qBg7/C9sXq0mph/b403p79JIcbzOOQr4kGVgPzrvo/Lu96n96jdTiDwcAjfd7k+Q4PYFLgpxAfTvICL7/zBilZBRX+fYQQQginyjutLrUgiEyHEZ6q3UBoeql6ufMdMOJbGLtdvd5ogs7DYMyfcP00NTMk8ygsexhmXqzue1nLZefKPpkQXkEKowrn2rnsnK4uef6x/KE04I/4DPKNJlriz3uDviQusoWOA3W+wV0eJC68OePWjmdLgC/NTfP44f/WcZvvPsy5J8tWDE1Q0zv16HojhBDCO2iZIFGSCSLqgbQ96rLTsAqL1uPjC91HQ+fb4Y+P4bdpkL4fvhoNv06DPs+AtQRWPFVBJ0LZJxOivpFMEOE8O5fBwuHn9HBf5pPL7PhM8o1GLvGLZf7QH+t9AERzafMBzL/+cxrgywFfMx/HHWBP8Wn7lbJOqn+3ncv0GaQQ4rxee+01DAZDrarBP/LII3Tt2hU/Pz86d+5crfskJiZiMBgwGAwEBASQmJjIkCFD+Omnn2r8+CNHjiQpKanG93MHM2fOJDExEX9/f3r06MGmTZuqXH/RokW0adMGf39/OnTowHfffWd3+5IlS+jXrx9RUVEYDAa2bdt2zjYKCgp46KGHiIqKIjg4mMGDB5OS4uEtN63WssKotkwQqQkiPFRxPpw5rF5u0Kbqdc0B0GsMPPoXXPUM+IVC6j/w5e0V7rPKPpmojjVr1pCYmFitdQ8dOlTp942n0p6TJ5EgiHAOq0XNAEHthJJsMvG7vx8vRUbwSoNIrAYDSXnFvHvLt4T4h+k7Vhdr3aA9n9+0jAuKLZz2MXF3fAxLgwLZ5O9HssmE9jdjxVOShilEVXRKW/7jjz94//336dixY623cffddzN06NAa3efFF1/k5MmT7Nmzh/nz5xMeHk7fvn155ZVXaj0OT7JgwQLGjRvHpEmT2LJlC506daJ///6kpqZWuP769esZNmwYo0ePZuvWrSQlJZGUlMSOHTts6+Tm5nLZZZfx+uuVFVeExx57jG+++YZFixbxyy+/cOLECW6++WaHPz+XKsgApfT9op2EKCmA4gLdhiREraX9CygQEAlB0dW7j18IXDleDYZcOpbKO8zIPpmoHe3ERfmfyy67jMaNG3Py5Enat28PqAEUg8FARkZGnR5v7ty5FT5m+Z9Dhw7V/YnVExIEEc5xeL0tmr4kOIj+jRO4Jz6WhWEhAIw5k8GLKScxH/1Dz1HqJu70AeYdP0GvvHzyjUaeaxDF6PhY+jdOYElwEKBA1nH17yiEONfOZTC9Pcy7QU1nnneD+ruTz9bl5ORwxx138OGHHxIREVGrbbz99ts89NBDNG/evEb3CwkJIS4ujiZNmnDFFVfwwQcf8NxzzzFx4kT27FFTwS0WC6NHj6ZZs2YEBATQunVrZsyYYdvG888/z7x58/j6669tO0Vr1qwB4Mknn+SCCy4gMDCQ5s2b89xzz1FcXFyr5+gM06ZN45577mHUqFG0a9eOWbNmERgYyOzZsytcf8aMGQwYMIAnnniCtm3b8tJLL9GlSxfeeecd2zp33XUXEydOpG/fvhVuIzMzk48//php06bRp08funbtypw5c1i/fj2///67U56nS2hTYfzDIDAKDKW7gzIlRniiU6VTYRq0hpqejQ6MhJZ9sQU7KiT7ZKJ25syZw8mTJ20/y5Ytw2QyERcXh4+PY6tSDB061O6xevbsyT333GN3XePGjW3rFxUVOfTxPY0EQYRz5KipwskmEy9Eq5kfGoOiMCg7V42553h4SnFt5aQQrCg8l5YOimL70rYaDLwQHVmaEYL3/n2EqEolU+1ckbb80EMPcf3111d60Oxqjz76KIqi8PXXXwNgtVpp1KgRixYtYufOnUycOJGnn36ahQsXAvD4448zZMgQBgwYYNsp6tWrF6AGWebOncvOnTuZMWMGH374IW+95R7duoqKiti8ebPd391oNNK3b182bNhQ4X02bNhwzv+pf//+la5fkc2bN1NcXGy3nTZt2tCkSZNKt1NYWEhWVpbdj9vRpsIENQCjUQ2GgBRHFZ7p1G512aB17e5f3X0t2ScTNRQeHk5cXJztJzIy0m46zKFDh7jqqqsAiIiIwGAwMHLkyFo9VkBAgN1j+fr6EhgYaPv9qaeeYvDgwbzyyiskJCTQurX6fjEYDCxduvSccc+dO9f2+9GjRxkyZAjh4eFERkYyaNAgj88qkcKowjmCYwE4YvaxC4AAKAYDR80+xFkstvW8TunzPmH2OeeshVX+PsLbKAoU51VvXatFbXFY4Vk7BTCoU/Ga91a7ApyPObDaZw6//PJLtmzZwh9/uE8GW2RkJDExMbadEbPZzAsvvGC7vVmzZmzYsIGFCxcyZMgQgoODCQgIoLCwkLi4OLttPfvss7bLiYmJPP7443z55ZeMHz/eJc+lKmlpaVgsFmJj7T8TY2Nj2b17d4X3SU5OrnD95OTkaj9ucnIyvr6+hIeHV3s7kydPtvsfuCUtEySogbr0D1drgkhdEOGJtKKo56sHUpnq7mvJPpnLKYpCfkm+Lo8d4BPg9DoXjRs35quvvmLw4MHs2bOH0NBQAgICnPZ4q1evJjQ0lFWrVlX7PsXFxfTv35+ePXvy66+/4uPjw8svv8yAAQP4+++/8fX1ddp4nUmCIMI5mvZCCU3AWJhml+kAYFQUGhdbILQhNO2l4yB11LQXhCbQJDcVo6LYB4oUhbjiEu/++wjvUpwHryY4aGOKmiHyWuPzrwrw9AnwDTrvakePHuXRRx9l1apV+Pv713GMjqUoit2O2syZM5k9ezZHjhwhPz+foqKiahVgXbBgAW+//Tb79+8nJyeHkpISQkNDnTjy+mnChAmMGzfO9ntWVpZdCrJb0IIggVHqMiAcziDTYYRnKj8dpjZK98nIOknFAXaDervsk7lcfkk+PT7voctjb7x9I4HmwDptY9iwYZhMZSdkPv30U7vvY5PJRGRkJAAxMTHnBNwdLSgoiI8++qhGgYsFCxZgtVr56KOPbPsac+bMITw8nDVr1tCvXz9nDdepZDqMcA6jiV+jBvNGVIQaAFHULxWjojAp7Yya5TDgteqdqa2PjCYY8DpxFguT0s5gLP37aAGjr0KCOXLRE9779xHCzWzevJnU1FS6dOmCj48PPj4+/PLLL7z99tv4+PhgsehTMO/06dOcOnWKZs2aAWq2yuOPP87o0aP54Ycf2LZtG6NGjTrv3N8NGzZwxx13cN111/Htt9+ydetWnnnmGbeZMxwdHY3JZDqnK0tKSso5GS2auLi4Gq1f2TaKiorOKVhX1Xb8/PwIDQ21+3E75afDAASU1reR6TDC05QUwen96uXoWgZBSvfJVGef+S/93Zv3WUWtvfXWW2zbts32c80119R6W8HBwbaf+++/v1bb6NChQ40zN/766y/27dtHSEiI7fEjIyMpKChg//79tRqHO5BMEOEUf+8/xuqMJewM9yPMYmVWcgr5RiONi0uIC4qDIe9Jz/V2A2HIfG5e8SS9jp7gqNmHwz4+vNAgitnhofj8+QWjet1FkJ+8TUU9Zw5UMzKq4/B6+OyW8693x+LqnbWr5lmeq6++mu3bt9tdN2rUKNq0acOTTz5pd6bHlWbMmIHRaLS1vF23bh29evXiwQcftK1z9k6Kr6/vOUGb9evX07RpU5555hnbdYcPH3bewGvI19eXrl27snr1attztVqtrF69mjFjxlR4n549e7J69Wq7NsarVq2iZ8+e1X7crl27YjabWb16NYMHDwZgz549HDlypEbbcTt5ZwVB/MPVpWSCCE+TfkDtdOQbomZr1FbpPhkrnrSvNxWaoAZAvH2fVScBPgFsvH2jbo9dV3FxcbRs2dLuulOnTtVqW+Vb6tY2uB4UdG7mq8FgQFHsM6DKF0XPycmha9eufPbZZ+fct0GDBrUahzuQoyvhcDmFJfyyZBRLYtSDghcve4X25ii1oFRwrHpgItF0VbuB0OZ64g6vJy4nhe7BsWzb9Slfn1rPksij+H3yOvf855nzb0cIT2YwVGtKCgAt+lQvbblFH4d+zoSEhNja2WmCgoKIioo65/rz2bdvHzk5OSQnJ5Ofn2/bsWnXrl2VZ2iys7NJTk6muLiYgwcP8umnn/LRRx8xefJk205Wq1atmD9/PitXrqRZs2Z88skn/PHHH7ZMEVDrfaxcuZI9e/YQFRVFWFgYrVq14siRI3z55Zd0796d5cuX87///a9Gz8vZxo0bx4gRI+jWrRsXX3wx06dPJzc3l1GjRgEwfPhwGjZsyOTJkwG1aOyVV17Jm2++yfXXX8+XX37Jn3/+yQcffGDbZnp6OkeOHOHECfWgR+uyoxWSCwsLY/To0YwbN47IyEhCQ0N5+OGH6dmzJ5dccomL/wIOdHZNkIBwdSk1QYSnKV8Uta71G0r3yVj+OGyeDc2vgju/kn1WHRkMhjpPSXF32vf++TJKzw6mOEqDBg04efKk7fd///2XvLyyOm1dunRhwYIFxMTEuGdmYy3JdBjhcF/Of4UlkccBuDn2cvpckATNLocOt6hL+TKxZzTZ/X2e6TedxsZgTvn4sLloHj+u1ycCLoRbcvO05ZEjR9K7d+8q1/nPf/7DRRddxPvvv8/evXu56KKLuOiii2wH4pWZOHEi8fHxtGzZkrvuuovMzExWr17Nk08+aVvnvvvu4+abb2bo0KH06NGD06dP22WFANxzzz20bt2abt260aBBA9atW8fAgQN57LHHGDNmDJ07d2b9+vU899xztf47OMPQoUOZOnUqEydOpHPnzmzbto0VK1bYip8eOXLEbkeuV69efP7553zwwQd06tSJxYsXs3TpUrug1bJly7jooou4/vrrAbjtttu46KKLmDVrlm2dt956ixtuuIHBgwdzxRVXEBcXx5IlS1z0rJ3ENh2mtCaIlgki02GEp6lrPZCzGU3QqFvZZdlnFU7WtGlTDAYD3377LadOnSInJ8elj9+nTx/eeecdtm7dyp9//sn999+P2Wy23X7HHXcQHR3NoEGD+PXXXzl48CBr1qzhkUce4dixYy4dqyNJJohwqB9//Y0/iz8jLciPpsZQJvSdpveQPE6ATwBvXfsRt317G+uC/Gi54X7aXLCGRtFheg9NCPfgJmnLa9asOee6gwcP2trd1eR+51PdVnR+fn7MmTOHOXPm2F2vZUeAetbnhx9+OOe+U6ZMYcqUKXbXlZ9K4g7GjBlT6fSXiv6ut956K7feemul2xs5cuR52xH6+/szc+ZMZs6cWZOhurdzMkFKa4LIdBjhaeraHrciWsFgLVgohBM1bNiQF154gaeeeopRo0YxfPhwu/a0zvbmm28yatQoLr/8chISEpgxYwabN2+23R4YGMjatWt58sknufnmm8nOzqZhw4ZcffXVHp0ZIkEQ4TBHU8/w1x8Psi7KD7MC0677GH8f9+qi4ClaR1/IY+3v4Y1/PuSLyGIC5z/EfWM/wWR0bqsuITyGlrZ8eL3bTLXLzMxk//79LF++XLcxCFEtlU6HydBjNELUXtpedVnb9rgVCYpWl3npjtum8Dpn19nQJCYmnnPbc8895/Dsy7NPDFQWWElISGDlypV2151dDDwuLo558+Y5cHT6k+kwwiFKLFZWfHoPn0VaAfhvxwe5IMqBX0he6K6uD3NJUEuKjAZ+CPmTxUs+0XtIQriXs6aS6Z22HBYWxrFjxwgODtZ1HEJUyVJSVvtDCqMKT2YpgbR/1csOzQRRW5aSd9px2xRCuBUJggiHWLr4Q74J2UGxwUCvkDbcflHtWjeJMgaDgddv+JgIxcx+XzPbTrzKtj0H9B6WEEIIT6Yd2BmMZdNgpDCq8EQZh8FSCD4BENbEcdvVpsMU50JxvuO2K4RwGxIEEXX21z872ZI6lYO+ZiLx5bXrPsBQ1wrdAoBI/0heu2oqAN+Gmfl12Qiy8ot0HpUQQgiPpU2FCYgsy57SgiEyHUZ4Eq0oanQrMDrwkMYvFIylhSElG0RUQ2JiotvV0HKl8PBwJk2apPcwakSCIKJOsvIK2PjdSL4J9cegwJSrZxDhH6H3sOqVXk37cEejawFYEHWaRfOe1XlEQgghPNbZ9UDAfjpMJfPYhXA7tqKoDp5+bTCUZYNIEERUgwRBwnn++ef1HkaNSBBE1JqiKCyb8xjzotRWTnc2S6JHo8t0HlX99N/er9DKJ4pMk4lfWcoPa1brPSQhhBCeSDuo04o/Qtl0GEuRpP8Lz2Frj3uB47ctHWKEqNdcEgSZOXMmiYmJ+Pv706NHDzZt2lTpur1798ZgMJzzc/3119vWGTly5Dm3DxgwwBVPRZTz86qvWWVaTZbJxAXmWB67fKLeQ6q3zCYzb90wF3/FwOYAPzZvfZSjKXJ2QgghRA1VlAniGwyG0qkxUhdEeApnZYIABGmZINIhxtUq66oivJujXxdOD4IsWLCAcePGMWnSJLZs2UKnTp3o378/qampFa6/ZMkSTp48afvZsWMHJpOJW2+91W69AQMG2K33xRdfOPupiHKOHj/O5n+eZEuAHwGKkek3zMaszZ8UTtE0LJEJXZ8AYEEEfPvpaIotVp1HJYQQwqPYgiDlMkEMhrK6INIhRngCq7VcZxgnBEFkOozLmc3qcUReXp7OIxHuSHtdaK+TuvJxyFaqMG3aNO655x5GjRoFwKxZs1i+fDmzZ8/mqaeeOmf9yMhIu9+//PJLAgMDzwmC+Pn5ERcX57yBi0oVl1hY88VdfBatvgifveRZGoc6sCq3qNRN7e/klwM/8FPGNr4O20PEwpncNuxhvYclhBDCU1SUCQLqlJi8NCmOKjxD1jG1e4vRDBHNHL99WxBEpsO4islkIjw83HaiPDAwUBotCBRFIS8vj9TUVMLDwzGZTA7ZrlODIEVFRWzevJkJEybYrjMajfTt25cNGzZUaxsff/wxt912G0FBQXbXr1mzhpiYGCIiIujTpw8vv/wyUVFRFW6jsLCQwsJC2+9ZWVm1eDZC8/1nL/Fp+EksBh/6RvdgYJtbz38n4RAGg4GXr32XpC/6cNxcwMbT/0er7VfRtUN7vYcmhFfr3bs3nTt3Zvr06XoPRYiqaTUOymeCgH1xVCHcnVYPJKolmJxwOBNY+v6QTBCX0k5wVzZjQHiv8PBwhyZAODUIkpaWhsViITY21u762NhYdu/efd77b9q0iR07dvDxxx/bXT9gwABuvvlmmjVrxv79+3n66ae59tpr2bBhQ4XRocmTJ/PCCy/U7ckIALb9+Rtrcj7lRHAAMYZgXrpmut5D8johviFM6z+L4StG8mOIH81WjqJls18JC/bXe2hC1HsjR45k3rx551y/ceNG2rZta/tdqxTvzdXihZuyBUEqyAQBqQkiPIOtKGpr52xfpsPowmAwEB8fT0xMDMXFxXoPR7gJs9nssAwQjdOnw9TFxx9/TIcOHbj44ovtrr/ttttslzt06EDHjh1p0aIFa9as4eqrrz5nOxMmTGDcuHG237OysmjcuLHzBl5PZWRm8Mcv97EqOgCTAtOvnUWwb7Dew/JKneK6ck+rYby/7ws+i8ojeO5YRj30nqQNCuECAwYMYM6cOXbXNWjQwOFf0EI4RaXTYUprgsh0GJXVAofXQ04KBMdC015glPe423BmUVSAwNLp+bn1JAjiYa9nk8kk36nCqZwaBImOjsZkMpGSkmJ3fUpKynnTWXJzc/nyyy958cUXz/s4zZs3Jzo6mn379lUYBPHz88PPz69mgxd2H5hKcAw/Lp3Oh6XfCfe1vZsOMZ30HZ+Xe6Dnk6w/upbthcdZaf6ZhJX/Y0DrBh7zBSeEp6qoJlX56TC9e/fm8OHDPPbYYzz22GOAVLsXbkTLBAmU6TCV2rkMVjwJWSfKrgtNgAGvQ7uB+o1LlHFme1womy5WHzJB5PUsxDmc2h3G19eXrl27snr1att1VquV1atX07Nnzyrvu2jRIgoLC7nzzjvP+zjHjh3j9OnTxMfH13nMotTOZTC9Pcy7Ab4aTfG8G1kY9A/5RiMdA1tw38WP6j1Cr2cymph2wxyCFRM7/X35Z8842/+LeTeo/7+dy/QephBOlZybzKaTm0jOTdZ7KDZLliyhUaNGvPjii7YOZkK4heICKMpWL59dE8Q2HSbDlSNyPzuXwcLh9geMAFkn1evle1V/ilIuCOKsTBA3mQ5jtcDBX2H7YnVptdTs/vJ6FqJCTp8OM27cOEaMGEG3bt24+OKLmT59Orm5ubZuMcOHD6dhw4ZMnjzZ7n4ff/wxSUlJ5xQ7zcnJ4YUXXmDw4MHExcWxf/9+xo8fT8uWLenfv7+zn4530D4wKTtz+XZkOLv8fAm3WHir1S0YDU7vriyqIS44nhebJTHu0FfMDQ+hV34ePQtKiwBrX3BD5kukX7g1RVHIL8mv8f2W7V/G5I2TsWLFiJEJPSYwsEXNXusBPgE1nkb27bffEhxcNhXw2muvtbs9MjISk8lESEiIdDET7kXrdGE0g3+Y/W1aJog31wSxWtQz5lSUuaUABljxFLS5XjIt9ZSTAoWZYDCqhVGdoXwQxGoFow77vXXN4JDXsxCVcnoQZOjQoZw6dYqJEyeSnJxM586dWbFiha1Y6pEjRzCe9cGyZ88efvvtN3744Ydztmcymfj777+ZN28eGRkZJCQk0K9fP1566SWZ8uIIZ31gJptMfBccyLywUABePJVOzE+vQsdh8oHpDqwWrtm8gFvN+SwKDeHJBtFMTEunfVERcRYL8gUnPEF+ST49Pu9Rp21YsfLKxld4ZeMrNbrfxts3EmgOrNF9rrrqKt577z3b70FBQQwbNqxG2xBCF+XrgZwd/NNqgnjzdJjD6889Y25Hgazj6nrNLnfZsMRZtHogkc3Bx0n7/loQRLGoARft/eEqFZyQBKp3gqsoTw0U/btKXs9CVMIlhVHHjBnDmDFjKrxtzZo151zXunXrSudPBwQEsHLlSkcOT5RXbgdgSXAQL0RHYi3dUeqeX8BV+fmQLx+YbqP0//WEwcCawABO+fjwWFwDjIrCpLR0bs7JlS84IRwsKCiIli2ddPZRCGeydYaJOvc2mQ6jHjg6cj3hHNpUmGgndYYBNbjiG6JOH8tLd20Q5LwZHMCyhyF1lxrYzEkpW+akQlFOzR5PXs/CC7l1dxihg9IPwmSTyS4AArDZ349kk0nNMJAPTPdQ+n/INBpJK1dF22ow8EJ0JL3yC+T/JdxegE8AG2/fWKP7pOSlkLQ0CStW23VGg5Glg5YSGxhbxT3PfWxn8PX1xWKp4dxtIZytss4wIIVRQS0q7sj1hHM4uz2uJjBSDYLkpkFUC+c+VnnnzUhCfZ+uebXy230CwC8Ucqux/yevZ+GFJAgi7JV+EB4x+9gFQEA9sD5q9lEPquUD0z2U+38p8v8SHspgMNR4SkqzsGZM6jWJFza8gFWxYjQYmdRzEs3CmjlplDWTmJjI2rVrue222/Dz8yM6Ovr8dxLC2aoKgtgyQby4JkjTXmrNhayTVHwW3qDe3rSXq0cmynN2UVRNUDRkHHZ9cdTqnrhKvByaXAJBMRAco+7rBZde9g0GxaoWyZfXsxDnkCCIsFe6A9A4N0Wtvl3uwNqoKDQutkBoQ/nAdBel/68muakYFcUucGVQFBrJ/0vUYze3upleCb04mn2UxiGNiQtynyKkL774Ivfddx8tWrSgsLBQWuQK92CbDlNFJkh+xjnf/17DaFKLTi4cDhio8MBxwGtSY0tvWk0QZ7XH1ejVIaa6J66ufLLqqc6Gql7Ppe9veT0LLyUtPoS90h2A3b6+6g5Q6Y67WmPijJpVIB+Y7qP0/xVnsTAp7QzGcgdavoqCv2KV/5eo1+KC4uge191lAZC5c+eydOnSc65fs2YN06dPt/1+ySWX8Ndff1FQUCABEOE+bEGQCjKTtJoHiqXmNQXqk3YD1aKTIWd9pviHSbc1d5B7uqzLUbSrgiBpzn2cs2kZSVQWiDRU/wSX9noOjbe/PjRBXs/Cq0kQRJxja4aZtyLDARiWlc3skymsPHqCm42yA+CWSr/gbjaGsvLoCT46mUKLwiIKjUamhseT1WyA3iMUQgjhDrTpMIEVBEHMAWDyVS97c3FUUL9X7/ra/rpW/WT/xx2klU6FCW8CvkHOfSy9MkG0jKQK1SKDo91AGLsDBs1Uf/cJgEf/ltez8GoSBBF2rBYrv2x8joO+ZkKsJh659kO6X/8ucXd+DWO3ywemuyr9gou782t6XP8u49vfB8B3oUYWLpmm8+CEEEK4hapqghgM5abEeHFdEE3eKfvfk7frMw5hzzYVxsn1QKBcECTd+Y91Ni2Dwz/M/vraZnAYTdBxKBjNUJKvdg4UwotJTRBhZ813H/G/sDzAxOgL7yG4VT+9hySqy2iyzQ3tBXTd/y2brafYlPEJ16U/REJkiL7jE0IIoS/tjHZFQRBQi6Pmpnp3hxhNdrK6jGoFp/+FtL1QlOv87ANRNVt7XCdPhYGyIEiui6fDaNoNhJQd8MvrahHUK59Up8DUdoqzyawGj1K2Q+pOiGjq2PEK4UEkE0TYFBQUsP7ADNJNJmKVQIZ3u1fvIYk6eKbfmxgVhQ3BRr5Y/JzewxFCCKEnRSmXCVJJtyKtLoi3T4eBsiBIfCcIiVc7bSTv0HdMwnWdYaDsfeLq6TDlaQGYJpeoJ7rqWuMttp26TJHXsvBuEgQRNisWv8rSUPXyE72ewWw06zsgUSetYi+if0BrAH5XfmDn4WSdRySEEEI3RTlQUqBeriwIok2HkUwQyD6pLkPi1EAIwMm/9BuPULkyCKJXTZDyclPVZVCMY7YXowVBdjpme0J4KAmCCADSz6TzW8YCCo1GWhtj6NfqRr2HJBxg/HVv429V2O1vYsG34/QejhB2pGuKZ5P/n4fRskDMgZVP6QgIV5dSE6QsE8QuCLJNt+EIoCATsk+ol53dHhfcIwiSU/q+Da5kCltNxV6oLlMlCCK8mwRBBADLFz7BD8Fq5sdz10zFYKisLZfwJNEhDRkWfRkAv/ttY81f8qUn9Gc2q581eXl5Oo9E1IX2/9P+n8LNVdUeV2MrjJrh7NG4v5wUdRksmSBu49RedRkSf27BUGfQgiCFWVBS5PzHq4izMkHS/oWSQsdsUwgPJIVRBUcO7ecn5VcUgx+XBrSlU9xFeg9JOND9/aay7LOenDCb+OaX/3J5h+8wGSXIJfRjMpkIDw8nNVXduQsMDJTAqwdRFIW8vDxSU1MJDw/HZKrjHHXhGrYgSBVnlLWaIDIdxn46TGRz9XLqLiguALO/fuPyZlp73AatXfN4/uFgMKr1YPLT1deCq9kyQRwUBAlNUANIBZlqsd+4Do7ZrhAeRoIgguXfPMafoX6YFXjuWmmnWt8E+gVzX/NbePXwYjYEH2Hx2p8Z2ruP3sMSXi4uTt2Z1AIhwvOEh4fb/o/CA1TVHldjmw6T4ezRuL/s0kyQkDj1wDEwGvLSIPUfaNhV37F5K1e2xwUwGiEgUv2/56a5PghSnA9F2erlqt63NWEwQGx7OLxOrQsiQRDhpSQI4uX+3vY7K/z3AmYGNuhDw5BGeg9JOMGQy5/hi/3/46AP/Lx9IgN7XUmAr5y9FfoxGAzEx8cTExNDcXGx3sMRNWQ2myUDxNNoQZDAakyH8fZMkMKcsoPPkDj1wDG+E+xfDSe2SRBEL65sj6sJKg1+6VEXJKf0JIHJ17HTf2LalQZBdgBDHbddITyIBEG8mKIorPzlCQ6Emwm2Ghl3zUt6D0k4icnkw38veoQx299iY0gGs7/7goeS7tR7WEJgMpnkYFoIV6hOTRApjKrS6oGYg8AvRL2c0FkNgkhdEP24sjOMRs/iqLbsrRg1EOcoWptcKY4qvJgURvVia3/6iuXB6of6yFZ3EeobqvOIhDNd2eVuulmCKDEY+P34dNJypCCWEEJ4jbwa1ATx9ukw5euBaKQ4qr6KciHjiHrZpUGQSHWpZyaIozrDaGJKO8RIm1zhxSQI4qWKSyz8vONlTvuYiLP6cXfPR/UeknCBp658GaOisC24kHf/N0Pv4QghhHCV6tQEkekwKlt73Piy67QgSOpO/TqFeLO0fwFFnc4VFOW6x9Wmj+mSCeLgzjCamLbqMvuEZH0JryVBEC+1fOnbLA9V5+E/2v0JzCZpcegNWrfoS39jLABb8j5jX0qWziMSQgjhErbpMFUcQGrTYQoywWp1+pDcli0IElt2XXhTNUhkKYJTu3QZllc75eLOMBo9p8PYOsM4OBPEPxTCmqiXJRtEeCkJgnihrNxc1iZ/SIHRyAVEcP2FQ/QeknChJwZMx9+qsN/fyrtfT9R7OEIIIVyhJpkgihUKvThIbpsOUy4TRCuOCjIlRg+ubo+r0YIgWhDRlZyVCQIQWzolRuqCCC8lQRAvtGTRRH4MVv/1z1z9OgZHFlsSbq9BTAeGBao7EX8bf2T9vyd0HpEQQginslrLZYJUEQQx+4NPgHrZm6fEaIVRg2Ptr9eCICe2uXQ4An2KokJZIWFda4I4IwhSWhw1ZYfjty2EB5AgiJc5mZLCmvzlKAYDvczN6dKop95DEjq4/7p3iC6xkmI2MOeHJ1AURe8hCSGEcJaCDFAs6uWqWuRCuQ4xGU4ckJurqCYISCaInk7tVpeubI8L5Qqjprv2caF62Vu1FaMFQSQTRHgnCYJ4mcVLHmNzoBmzovDs9VIY01sFhsRzT8wVAOwI+Islf8qZACGEqLe0LBD/MPDxrXpdKY5acU0QgISL1GXKDrCUuHZM3qykENIPqpddnQliqwmiw3QYp2aCaNNhdoGcCBNeSIIgXmTX3p386LMFgOvDe9E4LFHfAQldDe03lebFVnJMBv638UmKSry4CJ4QQtRn2hnl82WBQLlMEC/uGlFZJkhEM/ANgZICSNvr+nF5q9P71UwmvzD7tsWuUL47jKuDBc6sCRLVEoxmKMouaz0shBeRIIgXWbryUQ74mgm2Gnh8wBt6D0fozOQXxGMt1KK4O4OP8MHPq3UekRBCCKeoSVp9QIS69NbpMIU56oEhnHvAbTRCfEf18sltLh2WV9OmwjRorRaodSUtE8RSBEU5rnvckkK1SxM4JxPEZC4rMivFUYUXkiCIl/jt9x/5IfA4AHc1HUyYf5jOIxLuoPeVz9K9yECxwcDPe18iM79Y7yEJIYRwNC2VP6gamSDePh1GK4pqDgK/kHNvj++sLqUuiOvYiqK6uB4IgG9gWbFgV3aI0abCGH3K3pOOZqsL8o9zti+EG5MgiBewWBW+3/QMaT4mYi0+3HPl03oPSbgLo4knujyCQVHYG3yGN777TO8RCSGEcLTqdIbReHthVFt73EqmXUhxVNdL06kzjMbWIcaFxVFtU2EaqBlIzqDVBZEgiPBCEgTxAt9+P5dVIWoK38OdHsFsMus8IuFO2nYZzbUl/gBsPjWTo+m5Oo9ICCGEQ9mmw9QgE8Rba4LY6oGcLwjyN1gtrhmTt9OrPa7G1iHGhW1yc5zYGUZjK44q02GE95EgSD2XX1jMTwffIt9opJU1mIFdRuo9JOFuDAYeu+JF/K1WjgUUMPkb6RokhBD1Sm1qgnjrdJjzBUGiW4E5EIpz1YKdwrksJZD2r3rZ1e1xNXp0iNEyQYJjq16vLrTpMGn/qjVIhPAiLgmCzJw5k8TERPz9/enRowebNm2qdN25c+diMBjsfvz9/e3WURSFiRMnEh8fT0BAAH379uXff/919tPwLFYLHPyV1fNH8HOw2vXjqStfweDqglLCI8RdcB23oe4c7yxayN5N38L2xXDwVznTJYQQni63BjVBvH06TE5pECS4kiCI0QRxHdTLMiXG+c4cAmuxGngKa6zPGMp3iHEVZ7bH1YQmqG2zFYt0OxJex+lBkAULFjBu3DgmTZrEli1b6NSpE/379yc1NbXS+4SGhnLy5Enbz+HDh+1unzJlCm+//TazZs1i48aNBAUF0b9/fwoKCpz9dDzDzmUwvT3Mu4FvSzahGAxck1fIxQUurGotPM79/acRVWLhtK+FP367D74aDfNuUF9LO5fpPTwhhBC1VZOaIN5eGPV8mSBQbkrMNqcPx+tpnWGiL3BebYzzsWWCuDAIUpPsrdoyGCBGqwsiU2KEd3H6p8m0adO45557GDVqFO3atWPWrFkEBgYye/bsSu9jMBiIi4uz/cTGlqWCKYrC9OnTefbZZxk0aBAdO3Zk/vz5nDhxgqVLlzr76bi/nctg4XDIOsG3QYGsCwzApCiMPX1avV4OZkUlgjKO8VBGBgAzw8P4OcCfZJMJsk7Ka0cI4RZqklkKsGjRItq0aYO/vz8dOnTgu+++s7u9Opmle/fuZdCgQURHRxMaGspll13Gzz//7PDn5lQ1mg4Tri69viZIfOXrSHFU17G1x9WpHgiUBUH06A7jzEwQgNjSKTGpUhxVeBenBkGKiorYvHkzffv2LXtAo5G+ffuyYcOGSu+Xk5ND06ZNady4MYMGDeKff8remAcPHiQ5Odlum2FhYfTo0aPSbRYWFpKVlWX3Uy9ZLbDiSUBhcXAQExqoH9oW4E9/P3WdFU/J9AZxrtLXzk3ZuTQoKSHbZOKRuBj6N05gSXCguo68doQQOqppZun69esZNmwYo0ePZuvWrSQlJZGUlMSOHTts61Qns/SGG26gpKSEn376ic2bN9OpUyduuOEGkpOTnf6cHcJSAvmlXS0Ca1IYNdNpQ3JrtiBIFbUYyrfJtVqdPiSvpmd7XE2Qlgniyu4wWuDS2UEQ6RAjvJNTgyBpaWlYLBa7TA6A2NjYSnceWrduzezZs/n666/59NNPsVqt9OrVi2PHjgHY7leTbU6ePJmwsDDbT+PGOs0pdLbD6yHrBMkmEy9GR6ppbgAGAy9ER5JsMkLWcXU9Icorfe2kmUykmUy2q63y2hFCuImaZpbOmDGDAQMG8MQTT9C2bVteeuklunTpwjvvvANUL7M0LS2Nf//9l6eeeoqOHTvSqlUrXnvtNfLy8uyCKW7NlsJvKOtyURWtMGphpncGvnNS1GVVmSANWoPJDwqzIOOQS4bltfRujwv6TIexZYI4cToMyHQY4bXcrjtMz549GT58OJ07d+bKK69kyZIlNGjQgPfff7/W25wwYQKZmZm2n6NHjzpwxG6k9Iv7kNkH5awCqFaDgaNmH7v1hLApfU0ckdeOEMIN1SazdMOGDXbrA/Tv39+2fnUyS6OiomjdujXz588nNzeXkpIS3n//fWJiYujataujn6ZzaB0tAqPUop7no02HASjwsmyQwhw1sAFVd+UwmcvOoJ/Y5vRheS2rFU6VFux0iyCIDt1hnJ0JEtNWXWaf8N4pcMIrOTUIEh0djclkIiXF/sApJSWFuLgqCk6VYzabueiii9i3bx+A7X412aafnx+hoaF2P/VS6Rf2YR+fc24yKgqNi0vs1hPCpvQ10aS4BKOi2N0krx0hhN5qk1manJxc5frVySw1GAz8+OOPbN26lZCQEPz9/Zk2bRorVqwgIiKiwsd1uym4NS2waDKDOUi97G0HRVqg3xwEfiFVr5vQWV1KXRDnyTwCJflg8oXwpvqNw9XdYSzFZe89Z9cE8Q+FsCbqZckGEV7EqUEQX19funbtyurVq23XWa1WVq9eTc+ePau1DYvFwvbt24mPV9MSmzVrRlxcnN02s7Ky2LhxY7W3WW817UVJcDyLQ9UvbkPpwaxRUZiUlk6cxQqhDaFpLz1HKdxR014QmkCcxcqktHS7QMil+fnEymtHCOGFFEXhoYceIiYmhl9//ZVNmzaRlJTEjTfeyMmTJyu8j9tNwa1Je1yNlg3ibR1iytcDOSsr8hxSHNX5tCyQqFZgOvcEn8tomSD5GWqNHWfTApcGEwRUYwpbXdmKo0oQRHgPp0+HGTduHB9++CHz5s1j165dPPDAA+Tm5jJq1CgAhg8fzoQJE2zrv/jii/zwww8cOHCALVu2cOedd3L48GH+85//AOpZmbFjx/Lyyy+zbNkytm/fzvDhw0lISCApKcnZT8e9GU3MDe3Ebj9fAqxWvjqezOyTKaw8eoKbc/LUdQa8Vr10WOFdjCYY8DoAN+fksfLoCcakZwCw1d+fbINBXjtCCN3UJrM0Li6uyvWrk1n6008/8e233/Lll19y6aWX0qVLF959910CAgKYN29ehY/rdlNwbZkgNQmClGa55Gc4fDhuLbs0sFVVPRBN+Ta5Z2VQCgexdYZpre84tPcDimuyo7R6IEHRrmkLHFMaBJHiqMKLOP2dNXToUKZOncrEiRPp3Lkz27ZtY8WKFbb00yNHjtidTTlz5gz33HMPbdu25brrriMrK4v169fTrl072zrjx4/n4Ycf5t5776V79+7k5OSwYsUK/P39nf103FpmXhErrLsAuDWnkFbFxXQvKCTOYoHQBBgyH9oN1HmUwm21G6i+RkLjibNYuCczi5ZFReQYjTwTe5W8doQQuqlNZmnPnj3t1gdYtWqVbf3qZJbm5aknEIxnHYgYjUaslXQFcbspuDWdDgNlHWK8LRNEmw5TnamfMe3AaFYPijPraa05vZ1yg6KooGahaIEQV0yJcVVnGI10iBFeyCW5ZWPGjGHMmDEV3rZmzRq739966y3eeuutKrdnMBh48cUXefHFFx01xHph9vIZ7AlQMCsKw4d8rbbyyklRv8yb9pKz+OL82g2ENtfD4fUYc1IYvukdJnKaP8z72Xwkha5NpCaIEEIf48aNY8SIEXTr1o2LL76Y6dOnn5NZ2rBhQyZPngzAo48+ypVXXsmbb77J9ddfz5dffsmff/7JBx98ANhnlrZq1YpmzZrx3HPP2WWW9uzZk4iICEaMGMHEiRMJCAjgww8/5ODBg1x//fW6/B1qzDYdpgZBEG06jLfVBKlJJoiPn1pUMvlvdUpMeBPnjs0b2TJBdGyPqwmMUt8PrgiCuKozjEYLgqTuUrOazjcVTIh6QMcJdsKR8oss/J72BQTC1cQRq32gCVFTRhM0uxyAG6Na8v53wzhu9uGtn6bz6cjJOg9OCOGthg4dyqlTp5g4cSLJycl07tz5nMzS8hkbvXr14vPPP+fZZ5/l6aefplWrVixdupT27dvb1hk/fjy5ubnce++9ZGRkcNlll9lllkZHR7NixQqeeeYZ+vTpQ3FxMRdeeCFff/01nTp1cu0foLZqUxNEywTxuukwWnvc6hXvJ76TGgQ5sQ3a3ui0YXklRYE0N+gMowmMgtP7XNMhxlWdYTRRLdWspqJsyDgCEToWoRXCRSQIUk/MWfUJOwOLMSkKD/WepPdwRD3hk9CZO4xxTCGNgyUr2Jv6JBfEhOs9LCGEl6pJZinArbfeyq233lrp9qqTWdqtWzdWrlxZ47G6DS21PlAKo56XLROkBkGQrZ9IcVRnyD6ptis2mCCyhd6jcW2HmJzS96yrMkFMZrXuSsoOtTiqBEGEF3BBtR3hbMUWK78eeR+Ayy2hJCZervOIRH0ypPdEokssZJlLeG3VLL2HI4QQoiZqUxPENh0mw9GjcW+27jDVDIIkXKQupTiq42lTYSKbg4+vvmMBCCzt0uKSmiAuzgQBKY4qvI4EQeqBT9d+zz8B2QDc32OczqMR9Y1fs97cVhIMwN68xRzPyNV3QEIIIapPO2iTwqjnZyuMWs0gSOyFaqZC7qmyAIpwDFtRVJ07w2i06WS5rqwJ4sIgiLTJFV5GgiAezmpVWLVrKorBQM8iMxe2v0XvIYn6xmDgzkvHE2qxkOlbyKurKm4LKYQQws0UF6hTCkBa5J5PUW7Z36q6mSDmgLKD9JPbnDIsr+UunWE0gVHq0qXdYVw0HQYgRjrECO8iQRAPt/iP39kZqH5Y3tP+bp1HI+qroHY3M6RQLSG048wnpOcU6jwiIYQQ56UVcTSawT+s+vfzxukwWiaHORD8Qqp/v/jSArlSF8Sx3DYI4oLCqLpkgpQGQdL+hRLZxxP1nwRBPJiiKCzb8jIWg4GuhdC9x4N6D0nUV0Yjw7s8SIDVSrpfDpN/WqT3iIQQQpyP7YxydM3aXvqXZoJ403SY8vVAavK3iu+sLiUI4lju1B4XXFcY1VJSbgqbC4MgoQlqoFSxlHXlEaIekyCIB1uxcze7/A8DMKLZTWCUf6dwnoiuo7g5zwrAHyc/JLewROcRCSGEqFJt2uOCd2aC5GhBkPia3U/LBDmxzaHD8Wq5aZCfDhggqpXeo1HZMkHSnfs4eacBBTCUPaYrGAzlpsRIXRBR/8lRswf7/LfnKTIauLCwhN5XPqX3cER95+PHyAuHY1YUTvunM/WX7/QekRBCiKrYgiA1rC2gFUYtygZLsUOH5La0TJDg2JrdL64DYIDsE2XTGETdaFkgEU3BN1DfsWi07jC5Tp4Oo3WGCYwCk49zH+tstuKoUhdE1H8SBPFQ6/cfYY9ZjdTeFdMbg7t8SYh6Le6ShxiYWwTAmgPvUFhi0XlEQgghKlXbAovl64cUZDpuPO4su5aZIH7BEF2arXDyb8eOyVtpQZBoN+kMA2XZVCX5UJTnvMfRox6IRtrkCi8iQRAP9f7PL5NvghZFxVx7zUt6D0d4C/9QRjYbiFFRSAs4yXvrftF7REIIISqjBUECazgdxuQDfqHqZW+ZEmMLgtQwEwTKFUfd6rjxeDN3a48L4BsMJl/1sjPrgujRGUYTK9NhhPeQIIgH+ufkKfYafwfgjpBOGGs611eIOki8YjwDcgsA+GbXDCxWRecRCSGEqFBta4JA2ZQYbymOmn1SXdY0EwSkQ4yjuVtnGFBrZriiQ4yumSBt1WX2Ccg/4/rHF8KFJAjigd78YSo5JoVGxSXc1PcVvYcjvE1wDCPjrwTglP8B5v+5SecBCSGEqFBeLWuCAASUTonxloOhnBR1WdOaICAdYhzNHYMg4JoOMVpNEFd2htH4h0FYE/WyZIOIek6CIB7mUHoWe4pXAjDU3ASf6JY6j0h4o7ZXPk3v3HwUA3y2dTqKItkgQgjhduqSWh9Q2ibX66bD1CITJK6Dusw44vzuIfVdfkZZp55oN+kMo9GKozrzf5xT+p4N1mE6DJQrjipBEFG/SRDEw7y2ciZZZgsNSkoY1vt5vYcjvFVUC0aGqem/p/x28L/tO3QekBBCiHPUtjsMeNd0mKJcKMxSL4fE1fz+AeEQ0Uy9LNkgdZO2V12GNgT/UH3HcjZtOowzO8TomQkCUhxVeA0JgniQ1Ow8/sn5CoAhlgj8mvbUeUTCm3W96jl65BdgNcD7G9/WezhCCCHKU5RymSBRNb9/QLi69IZMEC0LxBwIfiG124bUBXEMrTOMOxVF1QS5YDqMLRNEpyCIrTiqBEFE/SZBEA/y6qp5ZPgWEmqxcNdl4/UejvB2CZ0Z4dsUgFSfjfz8736dBySEEMKmKAdK1CLWdcoE8YaaIFo9kJA4tQBmbSR0VpcSBKkbrR6IO7XH1dgKo7qiJohO02G0TJDUXWogVYh6SoIgHiIrv4gtafMBGFJgJqjNQJ1HJARcdsXTdCgopMSo8OZv7+g9HCGEEBotZd8cCL5BNb+/VhPEG6bDaJ1hgmsxFUZjywTZVufheDV3zgRxdncYq7XsfatXJkh0KzCaoShbrXEjRD0lQRAP8drPX3HGL4cAq5XhXR8Ao/zrhP4MLa5ihKLuKJ9Qfmbz0RM6j0gIIQRQt/a44GXTYcplgtSW1iEm/QAUZNZ5SF7rVGlNEHfrDAPlgiBOKoyanw6KRb2sVyaIyVwWgJLiqKIekyNpD1BQbGH90fcBGJxXQkSXkfoOSAiNwcA1l42nZVERxSYLr6x5T+8RCSGEgLJ6IIG1DIJ4U2FULROkLkGQwMiy9qLJ2+s+Jm9UmAOZpdkHbp0J4qTpMDmlU2ECItRghF5cURzVaoGDv8L2xerSanHeYwlRAQmCeIBpa1dw2v80ZkVhRJvbweyv95CEsDG2S2JEoR8AR4qWsyfViXNlhRBCVE9d2uNCuUwQL6gJYmuPW4cgCEB8R3V5YlvdtuOttM4wQQ3K2tG6E2d3h9G7M4zG2W1ydy6D6e1h3g3w1Wh1Ob29er0QLiJBEDdXYrHyw77/A2BQTgFxPR/WeURCnMVo4oYej9CwuIRCn2Je+OkjvUckhBAirw7tcaGsJog3TIfJKQ2C1KUmCJRNiZHiqLWT5sZTYaBsall+ulq/w9H07gyjiXFih5idy2DhcMg6a/p01kn1er0CIZKZ4nUkCOLmPvh9Laf9j2NSFEY07u+ekXHh9Xw638mIPHWH4N+cxRzPyNZ5REII4eXqWhPEq6bDOCgTRDrE1I07F0UFCCjdB1esznlf6N0ZRqNlgqT9CyWFjtuu1QIrngQq6jpTet2Kp1wfgJDMFK8kQRA3ZrUqLPxHzQLpn5tP4hXSFle4KbM/N3W8m+gSCwXmAiatnq/3iIQQwrs5ajpMcZ5jD4Tcka0wanzdtqN1iEnbq9a3EDXjzu1xAXx8wS9UveyMuiBaTRC9M0FCG4JfmFqkVcvOcYTD68/NALGjQNZxdT1XcdfMFOF0EgRxY19s/ZN0X/XDZ0RkN4hoqvOIhKicf4/7uCunAIC/0z8jPbdA5xEJIYQXswVBapkJ4hcGGNTL9XlKTFEeFJZ2cwmJrdu2gmNKAykKpOyo89C8jrtngoBzi6PWNXDpKAYDxGpTYhxYFyQnxbHr1ZW7ZqaATM9xAQmCuClFUfh4y/+hGOCq3DzaXfmU3kMSomoB4Qy5YAihFgv5vtm89NMCvUckhBDeK7f0IK22QRCjEfxLz3rX5ykxWj0Qc2DZWf660LJBZEpMzRQXwJlD6mV3rQkCzg2CuEsmCJQrjurAuiDB1QwyVne9unLHzBSQ6TkuIkEQN/Xdrl2cNm8FYIRfIiRcpO+AhKiG4EsfZVh2HgDrT84hr7BE5xEJIYSXcsRZZW8ojqrVAwmOVc+A15WziqPW9zPDp/eptTb8w90jCFAZZ3aIcZfuMFCuTa4DM0Ga9oLQhKrXCW2orucK7paZAjI9x4UkCOKmpv8+E6sBeuQX0PUKyQIRHiI0ntsb9yfAaiXP7zSv/bJU7xEJIYT3sVrr3h0GvKM4avZJdVnXeiAaLRPEkW1yveHMcPmpMI4IRjmLllnllEwQrTuMztNhoNx0GAdmghhN0P+1qtdpO1BdzxXcLTPFnafn1EMuCYLMnDmTxMRE/P396dGjB5s2bap03Q8//JDLL7+ciIgIIiIi6Nu37znrjxw5EoPBYPczYMAAZz8N17Ba2LphMWmGtQCMsoRAy746D0qI6ou84nFuzVYLwv128P8o2bawfp61EkIId1WQAdbSTDztzHVtaMVR88/UdUTuy1YU1UEHOloQ5NRuKM4HwKpYydTqjtSUt5wZtrXHdeN6IFDWpdHRQRBFKZe95Q6ZIG3VZfYJx77/TebSC2cFunyD1OUfH8K+H2u0ydziXIosRTUfy3mnuRhcm5nirtNz6imnB0EWLFjAuHHjmDRpElu2bKFTp07079+f1NTUCtdfs2YNw4YN4+eff2bDhg00btyYfv36cfz4cbv1BgwYwMmTJ20/X3zxhbOfivOVRvq//+O/lBihTUEhvbJPw65v9B6ZENUX3Yo7/RMxKwqn/NP5cvVjJH86qP6dtRJCCHelper7hYGPX+23o2WC1OvpMA7OBAlNULNvFAvHD/3Ce9ve47ol13HZl5dxy7Jb+HTnp5wpqOZBpTedGbZlgrhxPRBwXk2Q/DNgLVYv610YFcA/DMIaq5cdNSVGUeC3aerlSx+BEd/C4I/V5fjD0P4WNXi7YDgc21zlpoosRaw8tJIHfnyAXl/04soFV/LChhf469RfKEpF75ez/PYWrHm13BVnZx+V/j7gNddlprjj9Jx6zOlBkGnTpnHPPfcwatQo2rVrx6xZswgMDGT27NkVrv/ZZ5/x4IMP0rlzZ9q0acNHH32E1Wpl9erVduv5+fkRFxdn+4mIiHD2U3Gu0kj/Z2TxRWgIAHv8fPmfT0n9ivSL+m/nMuJPbKNTgdpS8fXoSPo3TmCJNUtey0II4Qq2qTC1LIqq0WqC1OfpMNoBRUicQzaXbyngm9hm/CcuhgHrn+Ddv97leI56Im/PmT28/sfr9FnUh8d+foxfjv5CibWK2lnedGbY3dvjagKdNB1GywLxCwOzv2O3XVvalJhUBwVBDv0Gx/4Akx/0HAPNLocOt6hLHzMkvQfNr4LiXPjsFkj71+7uiqKw8/ROXt34Kn0W9eHxXx7nt+O/YVWs5BTnsHjvYu787k4GfT2I2TtmcyrvVMXjWP8O/Pi8ernPczDkEwg9KwgamgBD5kO7gY557tXhbtNz6jkfZ268qKiIzZs3M2HCBNt1RqORvn37smHDhmptIy8vj+LiYiIjI+2uX7NmDTExMURERNCnTx9efvlloqLqkPKpp9JIf7LJyOuREba5kIrBwAvREfTKLyBuxVPQ5nrXRSOFqA3ba9nEZv+ys49WeS0LIYTrOKrVpm06TEbdtuPOtEyQ4NoHQRRF4a9Tf7F031JWHlpJjpIDAf4YgIvje5DUMonusd356ehPLN23lJ2nd/LjkR/58ciPRAdEc2PzG0lqmUTz8Ob2G/aWM8OWYrUwKnjAdBgnZYLYOsO4QRaIJqYd7F3huLogWhbIRXdWXPzWxxeGfgLzboQTW+GTm2D0D6T7+rP8wHKW7lvK3jN7y4YXGMOgFoMY2GIgqXmpLN23lFWHV3Ew8yBvbX6Lt7e8zaUNL2VQi0H0btwbX5Mv/D4LfnhG3UDvCXDF4+rlNtfDD8/B7zOhYTcY/YPr91O1wrFZJ6k4+8ug3u6q6Tn1nFODIGlpaVgsFmJj7SNWsbGx7N69u1rbePLJJ0lISKBv37K6GAMGDODmm2+mWbNm7N+/n6effpprr72WDRs2YDKd+4ItLCyksLDQ9ntWVlYtn5GTlEb6D/j7oZxVDMpqMHDUbCJOi/Q3u1ynQQpRDaWv5SPyWhZCCP3YgiB1zATxisKotc8ESc1LZdn+ZXy972sOZR2yXd/QL4JByQcZFNCEhH4f2a4f1mYYw9oMY++ZvSzdt5TlB5aTlp/GnH/mMOefOXSI7kBSyyQGNBtAqG+od5wZtlrUjjfWEvDxd9y0JGdxVncYd+oMo3FkJsiJrbD/JzCY1KkwlfELgTsWU/zxNazLP8nSRdfxixlKFHXKl6/Rlz5N+pDUMolL4i/BVBqoSAxL5OL4i3m6x9OsPLSSpfuWsu3UNtYeW8vaY2sJ9wvnusCmJO1YQVuAK56AK58se1yjCS7orwZB8s/oc6LOaIIBr6tZ0+fQYXpOPefUIEhdvfbaa3z55ZesWbMGf/+y1LDbbrvNdrlDhw507NiRFi1asGbNGq6++upztjN58mReeOEFl4y5Vkoj+AfN5nNuMioKjYtL7NYTwm2VvkabFJdgVBSs5QIh8loWQggXyXXUdJhwdVmvC6OWtsitZhCkyFLEz0d/Zum+paw/sR6rYgUgwCeAa5peQ1LLJLr6RmN8uzNk7YGSwnPqslwQcQHju4/nsS6Psfb4WpbuW8qvx35le9p2tqdtZ8ofU9QDveYDuSQkHqOWrXIODz8zvHOZWvNEm/JTUgAzOqgHgq6chlATtu4w6Y7drjt1htGUb5OrKHXr2vPbW+qy/WCISKx0tX1n9rF031K+jQnmdGEDwAIKXBjZlqRWN3Nts2sJ8wur9P7BvsEMvmAwgy8YzMHMg3y972u+2f8NqfmpfF6YwecN42ntE0ZSXFOuL8wgwr9cOYWoFuoy4zBYSsCkw2Fyu4FwyxxYPNL++tAENQDiru8LD+TU/250dDQmk4mUFPsDnpSUFOLiqv6ymTp1Kq+99ho//vgjHTt2rHLd5s2bEx0dzb59+yoMgkyYMIFx48bZfs/KyqJx48Y1eCZOFhyLAnwdEgyAQVFQDAaMisKktHTiLBbbekK4tdLXaJzFwqS0dF6IjrQFQi7Ly5fXshBCuEKuA9rjQllNkPo6HaYoD7SuLVUEQRRFYVf6LpbuW8p3B7+z6/TSJaYLSS2T6JfYjyBzkHYHNYumIANSd0FC5wq3azaZubrJ1Vzd5GrS8tNsKf/7Mvbx/cHv+f7g98RFmhloCiMpJ5fGJeXrh3j4mWGt683Zaf9a1xtX12OoLq07TFF2hQGuWnPHTJDoVmA0q8814whENK3ddtL+LasHd9lj59ycVZTF9we+Z+m+pew4vcN2faRvKDemn2JQRjqtzBdCq1tqFJhoFtaMsV3H8rAhkvWrnmBpcBA/B4ewpyST1/+Ywpubp9G7UW+SWiZxacNL8QlJULORSgrUQIgWFHG1uA6lF4yAVV0+sAECKg/+iJpzahDE19eXrl27snr1apKSkgBsRU7HjBlT6f2mTJnCK6+8wsqVK+nWrdt5H+fYsWOcPn2a+PiKU+j8/Pzw83PQh5QzNO3F+tA4dvn54m+18umJFLJMRhoXl5QeNHp4pF94j3LzGW/OyaVXfgH/Cw7i3chw/vb3I99gJCAkXl7LQgjhTI6qCVLfp8PklGaB+ASAX+g5NxeUFLB472L+t+9/FdYiGNRyEE1DKzgwNBjUVrkHf4GTf1UaBCkvOiCaEReOYHi74fxz+h+W/ruE7/Z+RbLRygcRYXwQEUbX/AIG5+RwXU4eptB4986YqMp5u94Y1K437lg/zC9MndKhWNS6IKEJjtmurSaIGwVBTGaIvgBS/1GnxNQ2CLJuBqDABddCbDvb1VtStvDl7i9ZfWQ1RVa1xa2PwYcrGl1BUsskLmt0GeYjm9TaIHu/h28fhYHv1Cwj5a8vMS17hMtRuLzjSDKvmsDyg9/x9f6vK6zNMywqkfiU3ZB+QL8giFYfJ/ZCNQsv6xic3AbNr9RnPPWU0/N8xo0bx4gRI+jWrRsXX3wx06dPJzc3l1GjRgEwfPhwGjZsyOTJkwF4/fXXmThxIp9//jmJiYkkJ6tfUMHBwQQHB5OTk8MLL7zA4MGDiYuLY//+/YwfP56WLVvSv39/Zz8dp1AMRl4PagSkMjAnl9bFxVCs3erhkX7hXezmMxqIs1i4NzOLr0OCOW724dvgAG6V17IQQjiXw6fDZNRtO+6q/FSYsw6siixFjFk9ho3JG4HKaxFUKqFzWRCkBgwGA+2jLqT9uvd44tAhfg4OZWmrXqw/s4vNAf7qj18Ok27+AkPDzjXattuoSdcbd6sfZjSqdUFyUx0bBHFU4NLRYi9UgyAp/0Dra2t+/8zj8NeX6uXLy7LyVxxcwfi141FKA2GtIlqR1CKJ65tfT1RAuUYXiZfCrXNgwZ2w9VM1U6bvpOo99vbFsPQBQIFuo2HAa4QZDNze9nZub3s7e9L38PX+r+1q8ywL9OETHxONT++HVtfU/Pk6ghYEiWqh7i/vOAZHfpcgiIM5vUXu0KFDmTp1KhMnTqRz585s27aNFStW2IqlHjlyhJMny+Y6vvfeexQVFXHLLbcQHx9v+5k6dSoAJpOJv//+m4EDB3LBBRcwevRounbtyq+//ure2R5V+HbXdg76qRHgO3KK7G/Uo0WTEHXRbqD6mi1tN2YC7sjKBuDt0EbktazFl6gQQojq0w6oAh1UGLW+1gSppB6IVbHy9G9PszF5I4E+gTzd42l+GvITb1z5Bpc2vPT8ARBQM0FAPYNbUz+9BFs/xQ8jA657j1kDF/DDLT/wQKcHMCrwVWgw7/0zu+bbdRee3vXGGR1ibJkgbjZdWMvcqG1x1A0zwVoMTS+DxhcDsPHkRib8NgEFhX5N+/HlDV/y1Y1fMfzC4fYBEE2b6+GG6erl36bB7++d/3H/+R8suRcUK3QZAddNPSfQ2TqyNeO7j+fHW35k+lXTaRHWgtOUcH9cDKfTHNQWuDZsQZCW0PgS9fLR3/UbTz3lkoovY8aMqXT6y5o1a+x+P3ToUJXbCggIYOXKlQ4amXt4f9NMMMAVefk0v32J+mGRk6J+EDbtJWfNhedpN1D90jq8HnJSGLT1M9617CXDN59pv33Ds31u1nuEQghRfzmsRW5pTRBLIRTngzmgbttzNxUEQRRFYcofU1h5aCU+Rh+mXzWdngk9a77t+M7qMnmH2gLWdG7x+wr9Pgt+fVO9fMN0aHsDAHFBcTzY+UGi96zkpYIDvHfyZ6L3LGRI6yE1H5vePL3rjTM6xGjvWXeaDgMQU9ohJqUWQYG8dNg8V718uVoLZNfpXTz686OUWEvo17QfU66YUr2gYtcRavbNTy+rU6WCGkCHWyped9c3sHi0OmWp853q+8hY+Xl/rTZPh+gO3LX0Jo6QxZjT6/m4OI9Ac2DNnrMjlA+CaEGoo3+o08jkmNBhnJ4JIqr2z8lkjisbABji0xCaXqKm/nW4RV3Ki114KqPJ9loO7f8KN2fnAPDd/rkoSkXzgIUQQtSZpaQsc6OuQRC/ELX+AdTPKTFaTZBybVln75jNZ7s+A+DVy16tXQAEIKKZWmfEUghpe8+/Pqjp+ytK23b2eVY98DvLkPjLuO+MWpj1lY2vsPrw6tqNT09a/TAqq+1ggNCG7ls/LEjLBHFQhxhFKcsEcbvpMKUH4Wl71UKwNbHxfSjOhbiO0OJqjmUf44EfHyC3OJfucd159fJXqxcA0Vz+OFx8n3r5f/fDvtVqYODgr+p75+CvsGs5LBqlBkA63gYD364yAFJeTGAMszo/RrjFwg4KGbdmHMXW4vPf0dFO71eXUS3VIJRviFqc1hGtioWNBEF0NuWXWZQYFS4oLOKKK57WezhCOEdsO4aEXohRUcj2PciCvzbpPSIhhKif8tOxFZfUOlnUlsEA/qUdCepjcVQtE6Q04+DrfV8zfct0AMZ3H8+1zeowfdNoVA/+AE5sO//6+1arB3YAF9+rHvBVJKoVD2VkMtgagFWxMn7teDanbK79OPWg1Q+rkAfUwnP0dJjCLDVYBu6XCRLaUC0Gq1iqH8wDKMyBjbPUy5c9RnrhGe7/8X5OF5zmgogLmHHVDPxMNSxjYDCor4sLb1az5r8YBm+2hnk3wFej1eWC29Xb2g+GpHdr/Bpq1uhSZqacIsBqZd2JdUxaN8nWBtslCnMgu7ReTlQLtRtOo9ImIUdkSowjSRBER2fy8tid+w0AQ0qCMFzQT+cRCeE8TS99jL65eQB8uPVDnUcjhBD1lK0eSJRjDiJtxVHrYV2Q7LJMkF+P/cqk9WrBxVEXjuKudnfVffu2uiDnKY56fDMsuEs9eLvwZjVAUFkHjKiWGIBnU1Pp3bg3RdYiHv7pYf4982/dx+tKWv0wre6MxhNq4dmCIA6aDpNT+p71DXG/KWcGQ1k2SE2mxGyeqwZOI1uQ1+oaHvrxIQ5nHSYhKIH3+r5HiG9I7cZjNMJNs9SCrZbCss+7s7W5sXaffyFxdLSamZqahslg5JsD39gCoy6RfkBdBkaVBbGblNYFkSCIQ0kQREeTf/6UPJ8iokosJPX8b81aPgnhaVpcze2KekYxjU38cfSQvuMRQoj6yFYPpI5FUTVaXZD6OB2mNAjyt5LPf3/5LxbFwo3Nb2Rs17GO2X51giBp++CzW9VpA817qwd4VaXvRzYHwCf/DFO6PkXnBp3JLsrm/h/vJzk32THjdpV2A6Hb3erl5lfBiG9h7Hb3DoBAWcFhR2WC5GpFUd1sKowmRiuO+k/11i8phA3vAFDcawzj1j7BjtM7CPcLZ9Y1s4gJrGO2i9HnPFORDPDDM+pUmZoyGCCyOVfkF/B8M7XmyJwdc/hk5ye1G2tNla8HomncQ10e3eiaMXgJCYLopMRiZdOJ+QAMzjfg13GoziMSwsmMRrpe8jCdCgqxGhVe++1jvUckhBD1j609roMOqLQz9fV0OswhHx8e2vkB+SX5XJpwKS9c+gJGg4N2jxM6q8vkvys+IMs6CZ/cpB5Mx3eGoZ+Cz3mmCPgGQlhjAAIyj/HO1e/QPKw5qXmp3LfqPjILMx0zdlfJOq4um/f2nFp4jp4OY6sH4mZTYTSxNSyO+vcCyD6JEhLPpLw9rDuxjgCfAGZePZNmYc3qPp7D6yH7ZBUrlGuxXBtRaqAxySeSR7s8CsCUP6bw/cHva7e9mihfD0TTqBsYjJB5VG05LBxCgiA6+eD3lZz2zcTPamVop/+oc76EqO863sbtueqO4MH870jOytJ5QEIIUc/YgiCOygQJV5f1LROkKI9TJdncHxdDRnE2F0ZdyLTe0zAbq9nFpTqiWoI5EIrzys7wavIz4NPBkHlEze64Y7FaiLZa222hLk/vI8wvjFl91bPrBzIPMGb1GApKChz3HJwt85i6DGuk7zhqQpumkOuoTBCtM4ybZoJoQZDqFOa0WuC36QC81aob3xz8DpPBxNQrp9KxQUfHjMfZLZYjtffXfka3H83tbW4H4Onfnub3k06ekmLLBGlRdp1fCMR1UC9Lq1yHkSCITr7b+TYA1+aVENPjPp1HI4SL+AZyTYe7SCguodhUxMu/fKb3iIQQon5xVHtcjZYJUs9qgmSf2c8DsTEcN/vQJKQJM6+e6fh2mEZT2cFL+SkxxflqUcfUf9SirHf9r2YHwNpZ4tNqHZD44Hhm9Z1FiG8I205t44m1T1BiLXHQk3CyzKPqsjS7xSMEOXg6jHaw7q6ZIDFt1WXW8fN/DuxaBun7+SQyhjln1Nf8872e54pGVzhuPM5usawFINL3YzAYGN99PP2a9qPEWsLYn8ey6/Su2m23OiqaDgPQWKsLIlNiHEWCIDpYtWcHR8xq5HtoYpKa2iiElzD3uI9h2bkAbEz5gsLiWszZFEIIUTFHB0G0miD1aDpMkaWIR39/nj1+vkRZYdY1s4gKiHLOg2kdYrYvUlt4FhfC4tFwZL3aQvfOryAisWbbjGqlLstll7SKaMX/9fk/fI2+rDm6hpd/f9n929FbLZBV2gnDozJByk2HccTfWJsO426dYTT+YWVBqqqmxCgK/DqN74MCmRLmD8CjXR4lqWWSY8fj7BbLtkwQtUipyWhi8uWT6R7XndziXB748QGOZh+t3baroii2wOY5QZAmWl0QyQRxFAmC6GDOuskoBuiVV0j7q57UezhCuFZoPEmNribIaqXAfIa3N3yr94iEEKL+0KbDBDrooL6eTYexKlYm/DqBPzL2EmS18p7SgMYhTspC2LlMDX4A/PuD2sJzSiLsWQ4mPxj2RVmmSE3YMkH2213dNbYrU66YgtFg5Kt/v+Ldv96t2/idLTsZrCVqocuQOL1HU33ae8tarLa3rStHBy6dwVYctYogyP7V/J6xh6cbqH+f29vczuj2ox0/FrsWy2cHQhzQYlnLBMk8CsXq1DJfky8zrppB64jWnC44zf2r7ud0voMygTR56VBQWtOntACyjZYJkrwdCrMd+7heSoIgLrbv1Cn2Gv4G4KbIXmXzCoXwIuGXPsJN2TkA/G/vXPc/WyWEEJ4iTwqjVkZRFF7f9Do/HP4BH4y8lXKKtiFNnPNgO5fBwuHn/t2K1VbxXHI/JF5Wu21HldUsOLvg6tVNr+aZHs8AMOuvWSzcs7B2j+EKWj2Q0ATPKIiqMQeAOUi97IgpMe6eCQLl2uRW3iFm16+vMza2ASUGA/2a9mN89/EYnNX5UmuxHBpvf70jWiwHNVDbFaPAmUO2q0N8Q3iv73s0DG7IkewjPLT6IfK097MjaJldYY3PbZUc1lC9XrHCsT8d95heTIIgLjZ91WQKjdCyqJj+/V/SezhC6CPhIoYGtsSoKGSb97F052a9RySEEPWDw6fDhKvLelAT5OMdH/P57s8BeDWiKz0LCiHYCRkIVguseBKoIsC/fXHtWngChDcBky9YCssCCeUMaT2EBzo9AMArG19h9eHVtXscZ/PEeiAa25SYqlq1VlOum3eHAYhtry4ryQQ5unc5D1iPk2s00j26I5Mvn4zJ2YGtdgNh7A61tfLgjx3XYtlgsHWIId0+26pBYANm9Z1FhF8E/5z+h3FrxlFsLa7b42lsU2FaVHy7tMp1KAmCuFB2QQF/5atfRAPNrTCEe+CHvhAOknjpWK7OywfgvT8/1Hk0QghPMHPmTBITE/H396dHjx5s2rSpyvUXLVpEmzZt8Pf3p0OHDnz33Xd2tyuKwsSJE4mPjycgIIC+ffvy77//nrOd5cuX06NHDwICAoiIiCApKcmRT8uxHN0iV6sJ4uHTYZbuW8qMLTMAGN99PNeWlHaBccY0jMPry2pdVKYuLTyNprJ0+bO7zpR6oNMD3HLBLVgVK+PXjmdzihuebLAFQTyoHojG1iEmrW7bURTIcfPuMFA2HSZl5zl1UE7nn+b+DRM57WOitTGIGdfMwtfk65pxGU1qa+UOtzi2xXK5DjFnSwxL5J2r3yHAJ4B1J9Yxad0krIq17o9ZWVFUTROtOKrUBXEECYK40IwfZpLhYyXSYmFov1f0Ho4Q+mp9HcNK1KLAKdbf+fukE4pMCSHqjQULFjBu3DgmTZrEli1b6NSpE/379yc1NbXC9devX8+wYcMYPXo0W7duJSkpiaSkJHbs2GFbZ8qUKbz99tvMmjWLjRs3EhQURP/+/SkoKGsx+tVXX3HXXXcxatQo/vrrL9atW8ftt9/u9OdbKyWFZTUKghxUE6QeTIdZe2wtz69/HoBR7UdxV7u7IPukeqMzgiDObuEJ5eqCVBwEMRgMPNPjGa5qfBVF1iIe/ulh/j1zboBPV7b2uB54UtBRHWKKcqAkv3SbbpwJEt0KjGYoyoaMI7ar84rzeGjF3RyhiITiEt67agYhvtVs9ezOynWIqUjHBh1588o3MRlMfHPgG6ZvmV73x6xuEOTYn7XPIhM2EgRxEYvFyrqULwC4tiSawAQH9coWwlMZTXTr/gAdCwqxGq28svZjvUckhHBj06ZN45577mHUqFG0a9eOWbNmERgYyOzZsytcf8aMGQwYMIAnnniCtm3b8tJLL9GlSxfeeecdQM0CmT59Os8++yyDBg2iY8eOzJ8/nxMnTrB06VIASkpKePTRR3njjTe4//77ueCCC2jXrh1Dhgxx1dOuGe2stNGnLHhRV+ULo3pg/aa/T/3N4788jkWxcGPzGxnbZax6Q3ayunRGEMTZLTzhvEEQAB+jD1OumMJFMReRXZTN/T/ez8mck7V/TEezBUE8MROkXIeYutDqgZgDwS+4bttyJpMZoi9QL5dOiSm2FjNuzTj+yTpAuMXCrOAONGjUQ8dBOlAVmSCayxtdzgu9XgBgzo45fLLzk7o9pvZYlQVBYtqpHaWKsquszSKqR4IgLvLp+q845luIr1Xhzsuf0Xs4QrgFQ5e7uD1XnUv5b+63pOXm6DwiIYQ7KioqYvPmzfTt29d2ndFopG/fvmzYsKHC+2zYsMFufYD+/fvb1j948CDJycl264SFhdGjRw/bOlu2bOH48eMYjUYuuugi4uPjufbaa+2ySc5WWFhIVlaW3Y/LlK8H4qiChFowxVoMRbmO2aaLHMw8yEOrHyK/JJ9LEy7lhUtfwGgo3fXN0YIg8ZVvoLac3cITqhUEAfD38ef/+vwfLcJakJqXyv0/3k9mYWbtH9eRPDkTxBYEqeN0GE/oDKMpVxzVqliZtG4S606sI8BqZWbKKZpdMUHf8TmSLRPkQJWrDWo5yBZYnfLHFL4/+H3tHs9qLRcEqaQmiNEEjbqpl2VKTJ1JEMRFvt/1fwBcVehPo7b9dR6NEG7CL4R+bYcSX1JCsamQV375TO8RCSHcUFpaGhaLhdhY+zPnsbGxJCcnV3if5OTkKtfXllWtc+CAugP8/PPP8+yzz/Ltt98SERFB7969SU+vuCDi5MmTCQsLs/00buzCAzxbPZBox23TN0hNgwePmhKTmpfK/avuJ6Mwg/ZR7ZnWexpm7XkU55e1oqxLNkZlnN3CE8qCIGlVB0EAwvzCmHXNLGIDYzmQeYAxq8dQUFJw3vs5XUbpNFhPrJHn6EwQd+4MoynXJnf6lul8c+AbTBh4MzWNjg0vhYSL9B2fI2mZIFnHoajqDjB3t7+bO9reAcDTvz3N7ydrEaDIOqYWOjaaIayKjlVaq9yjEgSpKwmCuMDa3RvZ5avuLA3peL/OoxHCvZgveYBhmWoGyG8nvqDE4oDiUkII4QBWq/p59MwzzzB48GC6du3KnDlzMBgMLFq0qML7TJgwgczMTNvP0aMurHfkjLPKBoP9lBgPkF2UzYM/PsiJ3BM0CWnCzL4zCTQHlluhNHDmEwD+Yc4ZhDNbeIJaowHU4qLF+eddPS4ojll9ZxHiG8K2U9t4Yu0TlFhL6jaGuijIBC0jJbShfuOoLUd1h/GEzjCa0g4xn6T/xZwdcwB44XQml+cXwOXj9ByZ4wVGln02nDlY5aoGg4Hx3cfTP7E/JdYSxv48ll2nd9Xs8bSMrshmYPKpfD1bcVTpEFNXEgRxgS9+exGrwUDXAgMX9xyt93CEcC8RTUmKv4xAq5UC82lmblyu94iEEG4mOjoak8lESop9IcmUlBTi4iqu6RAXF1fl+tqyqnXi49UD2Hbt2tlu9/Pzo3nz5hw5coSK+Pn5ERoaavfjMloQJNCBmSDgccVR3/zzTfac2UOUfxSzrplFpH+k/Qq2eiCxjps2VBFntfAE9SDcPwxQIL3qgzRNy4iWvNPnHfxMfqw5uobPdumYfZl5XF0GRLh3LYzKaEGQunaH8YTOMJrYduz2NTPVtxCAR0PbMygrAxp2g8TL9R2boxkM1aoLojEajLx62av0iOtBbnEuj//yOMWWGrTOPV89EE2jbmAwqZkjFbTHFtUnQRAnO5R6jM2mwwAMbJzk3C9bITxUxKVjuTlbzQZZtGuuvoMRQrgdX19funbtyurVq23XWa1WVq9eTc+ePSu8T8+ePe3WB1i1apVt/WbNmhEXF2e3TlZWFhs3brSt07VrV/z8/NizZ49tneLiYg4dOkTTpk0d9vwcJs/B7XE1tkyQM47drhPsTt/Nkn+XADCt9zQah1Qw1cKZ9UDO5qwWngZDubog1e/60iW2CxMuVms3vP/X+5wp0Ol/6slFUcFx3WE8KBNECUngjehorAYD/QIaM3rnGvWGy8fVz+Ob83SIOZuvyZe3rnqL6IBojmQf4fPdn1f/sWydYSqpB2J7kCCI66BelrogdSJBECf7aMXT5BsNJBZZSbpGCqIKUaHGFzPErwkGRSHTZy/f7d6q94iEEG5m3LhxfPjhh8ybN49du3bxwAMPkJuby6hRowAYPnw4EyaUFeZ79NFHWbFiBW+++Sa7d+/m+eef588//2TMmDGAmsI8duxYXn75ZZYtW8b27dsZPnw4CQkJJCUlARAaGsr999/PpEmT+OGHH9izZw8PPPAAALfeeqtr/wDV4YyaIFCWCeLm02EUReGNP95AQeHaxGvpEtul4hW1TBBn1ANxpajSKTHnKY56tqSWSbSJbEN2cTbvbnvXCQOrhszSTKqq6h+4My+sCfLzhils8jPjZ7Xy372/YyjOUztRWXScVuVMNcgE0YT4hvDIRY8ANQwy2oIgrc6/rm1KjARB6kKCIE6UW5DLhuItAFwT0guj2U/nEQnhpgwGmvV6lKvz1HnNb2/6UOcBCSHczdChQ5k6dSoTJ06kc+fObNu2jRUrVtgKmx45coSTJ8vaf/bq1YvPP/+cDz74gE6dOrF48WKWLl1K+/btbeuMHz+ehx9+mHvvvZfu3buTk5PDihUr8Pf3t63zxhtvcNttt3HXXXfRvXt3Dh8+zE8//URERITrnnx1OavTREDpc3Xz6TBrjq5hU/ImfI2+jO06tvIVs12YCeJMtkyQ6h+kAZiMJp7o9gQAi/Yu4kBG1R0wnMLTM0G0IEhBBtRk2sPZPKQ7TPGOJUwrzdQdnpVNQolFvcFaAotGwM5l+g3OWarZIeZsA1sMtAUZ3/vrverdyRYEOc90GIDGpW2IpThqnUgQxIlmfzOJVB8D4RYrd9/4mt7DEcK9tRvEbUW+AJy0rGNX6gmdBySEcDdjxozh8OHDFBYWsnHjRnr06GG7bc2aNcydO9du/VtvvZU9e/ZQWFjIjh07uO666+xuNxgMvPjiiyQnJ1NQUMCPP/7IBRdcYLeO2Wxm6tSppKSkkJWVxapVq7jwwgud9hzrxHZA5eBMEA8ojFpsKebNzW8CMPzC4SQEJ1S+cvmaIJ5MO0hLq/50GM3F8RdzVeOrsCgWpv451cEDqwZPD4IERGDr9FOXaWKekAlitfDl2mc5bDYTVWJhdEYFbb9XPAVWi+vH5ky1yAQB+yDjwj0Lzx9kLCmEjNLMqOoEQbRMkJR/oDC7RmMTZSQI4iRWi4Wfz6wE4ArjBQQHRek8IiHcnMnMxV3vpX1hIVajlVfWfqz3iIQQwrPklqbmO/qssgcURv1yz5cczjpMlH8U/+nwn6pXzi7NGPL0TJDo2k2H0fy323/xMfrw6/FfWX98vQMHVg1aEMQT2+OCWttFy5Cqy5QYW+DSfYMgGft+4D1/NeDz8JkMghTlrDUUtZXsYRe/hpwtqrm6zEmGwpwa3bVGQcYzh0Cxgm9I9YJhoQkQ3kS9z7E/ajQuUUaCIE6y9Kd3+NcPfK0K9/SbrPdwhPAIhm4juT1brTq+M2sZGflV92YXQghRSlFckAninoVRMwoybGnnD1/0MEHmoKrvkFPaESik4s5CHiOy9CAtP71WrVqbhjZlWJthALzx5xuubZmbUdo6OsxDgyBQ9w4xRXlQVHpw7cbdYd7bt5hsk5HWhUUk5eRWvmJOSuW3eaKACAgo7SxVwykxUIMgY/miqNUtMNtYWuXWlQRBnOT7/fMA6G6JITGhjc6jEcJDBETQr/VgYktKKDYV8OraGlTWFkIIb1aUCyVqXSWn1QRx0+kw7/31HtlF2bSOaE1Sy6Tz30HLBAn28CCIbxCENlQv1zIb5L6O9xHuF86+jH22rjpOZymB7NIpr546HQbq3iFG6wxj8gM/F7bSroEDmQdYcOpPAJ5IP0OVvY08vdBwRWrYIaa8agcZa1IPRNNE6oLUlQRBnGDzlqVs8i8CYFiPCedZWwhRnl/Ph7g9Sz0z8vOxz7BYrDqPSAghPICWBWIOVA+OHcmNp8McyDzAgj0LAHi8++OYzteCtjgfCjLVy56eCQLliqPWLggS5hfGA53Ujkczt80ku8gFNQayT6qp/CZft54Gcl517RCTU/qeDY5x2xazb/75Jhas9C6y0qOgqJK1DGowrmkvl47NJWpZF0RzX8f7CPMLqzrIWJsgiJYJcvSP+tudx8kkCOIEC/94A6vBQNuiQK7scI3ewxHCs0S14KboHgRYrRT4pPHBnyv0HpEQQrg/LSU/0MFTYcCtC6O++eebWBQLvRv15pL4S85/B60oqo8/+Ic5d3CuoB041aI4qubW1rfSLKwZ6QXpfPi3C7qzZZZOhQltCEYPPhQJLJ0qUddMEDftDLP+xHrWHluLj8GH/3b9b+m1ZwdrSn8f8JpaJ6W+qWWHGE21goxagKUmQZCYtmr2UHEupOyo1di8nQd/8rinkwf/5BffDACua3mewlxCiApFXPYIN2Wr806/+GeOzqMRQggPkFcaBHF0PRAoywRxs5ogdgdp3f57/juAfT0QNz37XiN1LI4KYDaaebzb4wB8uutTjmYfdcTIKufpnWE0gXWcDuPGnWEsVgtv/PEGALe1uY3ELnfDkPkQelYx4dAE9fp2A3UYpQtodXdqmQkCMKT1kLIg4/YKgozla4JUl9EEjbqrl49KXZDakCCIo1gtcPBXFq14mFyjkfhiE8OvHK33qITwTImXM8QUh0FROGPazep92/UekRD1U+l3F9sXq8v61uLQm9iKojrhrLJWE6QgUy3A6gYs1rKuC7e1uY3EsMTq3bG+1APR2KbD1P4gDeDyhpfTM74nxdZi3tr8lgMGVoXMelAUFeo+HcaZ79k6WrJvCfsy9hHqG8r9ne5Xr2w3EMbugBHfwuCP1eXY7fU3AAJ1qgmisQsy7jwryFiQVRaYrUkQBKBJT3V5ROqC1IZLgiAzZ84kMTERf39/evTowaZNm6pcf9GiRbRp0wZ/f386dOjAd999Z3e7oihMnDiR+Ph4AgIC6Nu3L//+W/s0wDrbuQymt6dk3g0sN2cAMConF+Pub/UbkxCezGCgxaWPcFWeWuRv2sYPdB6QEPVQ6XcX826Ar0ary+nt1euF53FqECRcXSoWKHRBzYhqWLJvCf+e+df+IK06tOkw9aEeCNgfpFlrX0PLYDDwRPcnMBqMrDq8is0pmx00wArUm0yQOnaHcdNMkJyiHN7Z+g4AD3Z+kDC/ctPGjCZodjl0uEVd1scpMOVpNUFyT6kBi1qqNMioZYEExdR8ep5WHPXI724TnPYkTg+CLFiwgHHjxjFp0iS2bNlCp06d6N+/P6mpqRWuv379eoYNG8bo0aPZunUrSUlJJCUlsWNH2XynKVOm8PbbbzNr1iw2btxIUFAQ/fv3p6CgwNlP51w7l8HC4ZB1gq+Cgzhh9iHMYiEpM029XnYmhaid9oMZVqB+RB0rWsM3qyeRvHuZnKkWwhHKfXclm0xs8vcj2WSCrJPy3eWptAOxoCjHb9scoHawALcojlrlQdr52IIg8VWv5ynCm4LRDCUFkHWsTptqFdGKwa0GAzDljylYFScVJtfa44Z7eCaIo7rDuFlx2A+3f0h6QTqJoYkMaT1E7+Hoyz+0LLBch2yQSoOMtakHomnYFQwmtdNSppOnsNVDTg+CTJs2jXvuuYdRo0bRrl07Zs2aRWBgILNnz65w/RkzZjBgwACeeOIJ2rZty0svvUSXLl145x31y05RFKZPn86zzz7LoEGD6NixI/Pnz+fEiRMsXbrU2U/HntUCK54EFJYEB/FytFogKcto5PugAHWdFU/JQZsQteHjx8WNLiW+uBirEZ4+toT+vz/Nkvc6yAGaEHVR7rtrUXAQ/RsnMDo+lv6NE1gSHKiuI99dnscWBHFSar2tOKr+dUHqdJBmC4LUk3aeRlO5ugW1rwuieajzQwSZg9h5eiffHnBSRnO9yQTRCqOm1+7+tu4w7jMd5lj2MT7Z+QkAj3d7HLPRrPOI3EAdO8RoKgwy1qYeiMY3COI7qpePSF2QmnJqEKSoqIjNmzfTt2/fsgc0Gunbty8bNmyo8D4bNmywWx+gf//+tvUPHjxIcnKy3TphYWH06NGj0m0WFhaSlZVl9+MQh9fbzqI9Hx1pK7ClGAy8EB1JsskIWcfV9YQQNbNzGal7viHZx8d2ldVg4IUgI8lfjZJAiBC1Ve6766XoSKyl311W+e7ybM6uL6DVBdG5Q0z5g7T/dvtvzQ/ScupZJgiU6xBT9yBIVEAU93S4B4AZm2eQV5xX523aUZR6WBMkrXbTEdwwE+StzW9RbC2mR3wPrmh0hd7DcQ917BBT3oOdH7QPMtamPW55tla5UhekppwaBElLS8NisRAbax9tj42NJTk5ucL7JCcnV7m+tqzJNidPnkxYWJjtp3FjB33olhayOWL2QTmrwrjVYOCo2cduPSFENZWeqT5iNlX+3pIz1ULUTul30mH57qpfcp3YHQbKOsToPB2m/EHalY2urPkGtEyQ4HqSCQIQrRVHrXsQBODOdnfSMLghqfmpzP1nrkO2aVOQCUU56mWPzwQpfa+VFEBtgkW2TBD3CIJsSdnCD4d/wGgw8kS3JzDUh+5JjuCADjGa6IBo+yDj6dKalrUNgjQpDYJIJkiNeUV3mAkTJpCZmWn7OXrUQfOmSr9AmxSXYDwrAmxUFBoXl9itJ4SoptIz1ZW/t4rlTLUQtVX6nZRlOHcXQL67PJjTM0HC1aWOmSBbU7fW/SCtvtUEgXIdYhwTBPEz+fFY18cAmLNjDim5DgyIalkggdFqrRlP5htUViunpnVBigugMFO97AbdYayK1dYS96aWN9E6srXOI3IjDugQU175IOO8ohOlj1HHIEjqP3Uq3OqNnBoEiY6OxmQykZJi/+GZkpJCXFzFVbnj4uKqXF9b1mSbfn5+hIaG2v04RNNeEJpAnMXKpLR028GaUVGYlJZOnMUKoQ3V9YQQ1Vd6BjrOYrF7bwHcmZlFnMVit54QogZKv7u+DQkCwCDfXZ5PUdSUfCg7O+1oWiaITjVBrIqVKZumAHU4SCvOL8tkqS81QaBcEMRxnRL7Ne1Hl5guFFgKeHvr2w7bbr2pBwLqNPjadojRgpZGc9lUMx0tP7CcHad3EGQOYsxFY/QejntxUE0QjV2QMdiPFJMPRDar3cZC4tTiyIoVjv3hkPF5C6cGQXx9fenatSurV6+2XWe1Wlm9ejU9e/as8D49e/a0Wx9g1apVtvWbNWtGXFyc3TpZWVls3Lix0m06jdEEA14H4OacPFYePcHskymsPHqCm3NK0+IGvFb/20cJ4WjlzkDfnJPLyqMnuCpXfU8d9PWtcD0hRDUZTey48HZ+DlTPwn6UnCLfXZ6uIAOspRk8zpoOox2o6TQdxiEHaVrg3Me/LKhTH0S1UpcZR9UMAwfQulkALNu/jH/S/nHIdutVEATKujHVtDiqrR5IA1tNQb3kl+QzY8sMAP7T4T9EBzjpM8RTadNh8tMdFgTu17QfXUJbkm808nZsAvj41X5jtikxUhekJpw+HWbcuHF8+OGHzJs3j127dvHAAw+Qm5vLqFGjABg+fDgTJkywrf/oo4+yYsUK3nzzTXbv3s3zzz/Pn3/+yZgx6heewWBg7NixvPzyyyxbtozt27czfPhwEhISSEpKcvbTOVe7gTBkPoTGE2ex0L2gUD1LHZqgXt9uoOvHJISnKz1TDeqOQZzFwn/TMzAoCr8GBnDAbJYz1ULUwcdHfkYxGOiVV8jFBUXy3eXptLPQfmF125muio7TYRx2kGabChOn+4GnQwVFq/97FDhz0GGbbR/dnhub3wio3SyU2hT/PFvGEXUZ3qTu23IHtuKoNZwO40adYeb+M5eUvBQSghK4q91deg/H/fgFQ3DpbIPTdS+OCqVBxugeACzzo25BxsbqdqQ4as34nH+Vuhk6dCinTp1i4sSJJCcn07lzZ1asWGErbHrkyBGMxrJYTK9evfj888959tlnefrpp2nVqhVLly6lffv2tnXGjx9Pbm4u9957LxkZGVx22WWsWLECf39/Zz+dirUbCG2uV+sT5KSoZ6eb9pKzaELUlpZltXA4aiBEoWlJCVfm5bMmKJBPQ4OZeLWcqRaiNk6m7GOdTwpg5NLmD8KArvLd5els9UCceAZXx8KoDjtIyz6pLoMrnj7tsQwGtW7BiS2Q9i/EtHXYph/p8girDq9iS+oWVh1eRb/EfnXbYH3LBCnfIaYm3KQzTEpuCnN2zAHgsa6P4WdyUhDV00W1UDtLpe+HRl0dssn2+bnckJPLt8FBTPljCnMHzK1dnSMtE+TYZrCUgMnph/f1gksKo44ZM4bDhw9TWFjIxo0b6dGjh+22NWvWMHfuXLv1b731Vvbs2UNhYSE7duzguuuus7vdYDDw4osvkpycTEFBAT/++CMXXHCBK55K5YwmaHY5dLhFXcpOpBB1Uy7LSjM8KxuA/wWHcjjhEr1GJoRH+2jl0+QbjTQuMnDH1Q/Ld1d94IogiC0TxLU1QRx6kJZdOh0mpJ4FQQCiS6fEOKg4qiYuKI6R7UcCMG3zNAothXXbYL0LgpS+52qcCVIaBNG5M8zbW98mvySfzg060z+xv65jcWtazQ4H1QXRtvVoegb+Bh9bkLFWGrRVM8GKcyFlu+PGV895RXcYIYSHajcQxu6AEd/C4I/p2mk0bQuLKDEqvLLmQ71HJ4THKSjM5ediNe32qtDemHwk6FEv2NrjOjG1XqsJ4uLpMA49SNMyQepjEMRWHNWBB2mlRl04ipiAGI7nHOezXZ/VbWP1LghSy+kwzu7mVA3/nP6HZfuXATC++3hpiVuVSMd2iAHg9D7iLBZGNroaqEOQ0WiExherl6VVbrVJEEQI4d7KZVkZ+07itlwrAFvT/0dekWMKwAnhLeYun8gpHyPhFiv3XP+i3sMRjmILgtSv6TAOP0jLqceZIFobTwd2iNEEmgN5pMsjAHzw9weczq/hAb+mpKgsEBVWX2qCRKrLmnaH0TkTRFEUW7el65tfT4cGHXQZh8eIcmyHGKwWSFfri4zqeG/dg4xNSmdZHNngmPF5AQmCCCE8h9mfAZ1HE1NSQoGpkKnrFug9IiE8hmK18kOamm57KW0IDw7Xd0DCcVxxVtnFhVEVReGNP94AHHiQVl9rgkBZhxgHT4fR3NjiRtpFtSO3OJd3t71bu41knwAUMPk5N2DnStrzqHF3GO09q08QZPWR1WxJ3YK/yZ+xXcbqMgaPUj4TxFEFgq3FYPIjMLKlLcj44d8f1i7I2Lh0ivjRjY4ZnxeQIIgQwqMEXnIft2ar6YKrDsx2TLV6IbzAt799xL9+Cr5WhZFXSxZIveKKIIgtEyQTrFbnPU6p1UdWszllM34mP8cdpNXnmiBaG8+80zU/IK8Go8HIE93UlrmL/13Mv2dqkXFSfipMfZl6UevuMFomiOunwxRZinjzzzcBGHHhCOKC6uH7wdG091dBpmPeX1pGSVQLMBq5scWNtI1sS05xTu2CjA27gtFHDfRqHZhElSQIIoTwLAERDGo2iACrlQyfdD7/+ye9RySER1iy+2MALi6Kok3TC3UejXAoLRVfOyBzBi0TBAUKM533ODjxIK0+1wTxC4aQBPWyE+qCAHSL60bfJn2xKlam/jm15ichtCBIeGPHD04vHtgd5vNdn3Ms5xgNAhpwd/u7Xf74Hsk3sOz95Yi6IFrGVuk0G6PByPju44FaBhl9AyGuo3r5qNQFqQ4JggghPE5878e5IScPgE+2/J/OoxHC/f21Zy2bfXMBGHzRYzqPRjhcngsKo/r4gTlQvezkKTHlD9JGtx/tmI0WF5TVM6mPQRCAaK04qnOmxACM6zoOs9HM+hPr+fX4rzW7c8ZRdVlfiqJCWXeY/DNqnYfqsBSXdVlycU2Q9IJ03v/7fQAevuhhArX3tDg/R9YFsQVBWtquqnOQsUlPdXnk97qPzwtIEEQI4XnCGpIUqX7YHzfuZ+Ox3ToPSAj3Nve3V1AMBjoUmOl7cZLewxGO5qpOEy4ojuq0g7ScZHXp41/2POqbKOcHQRqHNuaOtncAMPXPqRRbi6t/50wtCFKfMkFKC6MqVnWqRHVo71eDCQIinTOuSry77V1yinNoG9mWQS0HufSxPZ42JcahmSAt7a6uU5BRK44qmSDVIkEQIYRH6njNc/TOVbNBpv8yTefRCOG+TqUfY71RTUPvl3CLzqMRDmcpKZuj7uwgiK046hmnPYTTDtKyS4MgwbH1px7F2WxBEMd3iCnv3o73EuEXwcHMgyzas6j6d6xv7XEBTGbwC1MvV7dDjFYPJKiB2t7URfad2ceiver/64nuT2A0yGFgjTg0E0SrCWIfBKlTkFErjpryj8tbmXsiefULITxTTFtuNKtfHruLfudEVg3n4wrhJWZ9N4E8o5EmRQp3Xjte7+EIR8tPBxTAUHZW2lkCIkofM8Mpm9+fsd95B2laECQk3nHbdDe2DjHOqQmiCfEN4aHODwHw7l/vklndGjH1MRMEIKiGxVG1TBAXF0WdunkqVsXK1U2upntcd5c+dr1QvkNMXRTnl70XzgqCQB2CjCGxEJEIKHDsz7qN0QtIEEQI4bGu7juRNoVFlBgVXvvpHb2HI4TbKSoq4OfCrQBcGdgTHx8fnUckHM5WFDUSjCbnPpaTp8N8tP0jrIqVPo37OP4gzRYEiXXsdt1J+TPVTu7gM/iCwbQIa0FmYaYtcFUlRamfmSBQ8w4xOa4vivpP2j+sO74OH4MP47qOc9nj1iva+yv9YN3a0KYfABTwD6uwmHWIbwgPdn4QgI93fFy7bJCjUhfkfCQIIoTwWKbEXiSVhAPwR/oyCouL9B2QEG5mzspXOOVjINxi5e7rXtZ7OMIZXFUPBMpNh8lw+KZP5Z1ixaEVgHom1OFyvCATJLwpGM1Qkg9Zx536UD5GH+7uoHYW+WL3F+c/UMs/A8XqFFZCGzp1bC5X0w4xWmcYFxZF/XTXpwAMaDaAJqFNXPa49UpEM8AAhVnVn/pUkfL1QCqZmndzq5uJ8o8iNS+V1YdXV3/bTUqDIFIc9bwkCCKE8FwGAwMvfZIGJSXkmIqZ8dsneo9ICLehKAorkr8B4FJrM6Ij6vEZcG/myiCIlgnihJogC/cupMRaQucGnbkw2gktnMvXBKmvTD4Q2Uy97MTiqJoBiQOqf6Cmpf8HxYDZ3+ljcymtQ0y1M0Fc+J7FPsB4Z9s7XfKY9ZLZvyyLqS5TYiopilqer8mXIa2HAGUBrGrRgiDHN6tdiESlJAgihPBoIR2SGJinpvj/cODjmrcUE6KeWrHxM/b5WvC1Ktx15fN6D0c4i3ZGMija+Y+lZYI4eDpMoaWQhXsWAnBHuzscum0bb6gJAi7pEKMpf6D2ya7znITQ2uOG17N6IFBWi0crUHw+Ls4EWbBngXMDjN5E6xBTl7o7lRRFPduQ1kPwMfrw16m/2H5qe/W2Hd1anWZTnAfJf9d+jF5AgiBCCM9mNJLU6T78rVZSfLL5ansN0gaFqMcWbn8PgIsLQ7mwVTedRyOcRssECXRFEMQ5hVG/P/g96QXpxAbGcnWTqx26bRtbECTOOdt3Fy4MgkDZgdrfp/6u+kCtvtYDgbLpMDXuDuP8IEihpdBWs8VpAUZvEuWA4qi2TJAWVa4WHRDNtYnXAjXIBjEaoXFpq9wj0iq3KhIEEUJ4vMRe9zAg1wLA53++qfNohNDfjoN/sMWsdmwYdOGDOo9GOJVWh8CV02EcmAmiKAqf7foMgNva3IbZaHbYtu1kn1SXEgRxqGofqNXXzjBQloXlht1hXBJg9CaRDmiTW43pMBotcPXDoR9IzUut3va1IIgUR62SBEGEEJ7Px4/rG98EwD7jUbac2K3zgITQ1+w1L2A1GOiUb6T/ZXL2r17TYzqMAzNBNqdsZnf6bvxN/tzS6haHbddOcUFZ4MZbgiBp/7rsIat1oGbLBKmHQRA37Q5TPsA4rM0w5wUYvUldM0Hy0steJ5FVZ4IAXBh1IV1iulCilLBgz4LqPYatOOrGunWxqeckCCKEqBcu6f8Ul+YVoRgMvPvTS3oPRwjdnM5KYR2HAOgTeyOGSqrPi3pCl8KoGQ7bpHaQdkOLGwjXtu9oWmcYk1/Zc6ivolupy4wjUFLokoes1oGaLROkHk+HqU53GEtJ2UGwk2uC2AUYL3BSgNHb2DJBDtQuwJB+QF2GJIBfcLXuckdbNci4eO9iCi3VeE8ndFG7ROUkQ8bhmo/RS0gQRAhRP/iH0T+kJwBbi/8mJaeaBcqEqGfe+/5Z8owGmhZZufP65/QejnA2WxDEhTVBHDQd5njOcX46+hMAd7RxYsZSdoq6DImrtCVlvRHUAPxCAQXSD7rsYbUDtUV7FlV8oOYNNUGqUxg17zSggMFYdj8nKR9gDPMLc+pjeY2IRPV/V5wLOSk1v38164GU16dJH+KD4kkvSOe7A9+d/w6+gRDfSb0sdUEqJUEQIUS9ccP1L9OqsJgiI0xf+arewxHC5YpLivgpR50HfLlvF3x9/XQekXC63NKzyq7IBNGmwxRmgdVS5819sesLrIqVS+IvoWXE+efH15q31AMBNcijHWCddt2UGO1A7UzhmXMP1EoKyw4Y6/N0mKIcdepVVbTOMIFRYDQ5bUguCzB6Gx/fstdwbeqC1KAeiO0hjT7c1uY2QK27U60uiLYpMRtqOkKvIUEQIUS9YY5oRD+D+sXyW8YqiixFOo9ICNeat3oqp3wg3GJl1HUSCKz3SgqhUC2A65JMEP9yZ5MLMuu0qbziPJb8uwSAO9veWadtnVdOuUwQbxBVOiXGRcVR4TwHaloWiDmwrJ1sfeIfBkYf9fL56oK4qB6IywKM3qgudUFqEQQB+P/27jw8qvJ64Pj3zkz2lZAdQhLWgGwCEkNBERACIlCtoqKopdKqWKk7/VlxqbW2aq1L3Rdspe5CQAgiiFBAUBBlCcgeIAuEkH2fub8/bmaSIXsyM3eSOZ/nmWcmd96ZORkmzL3nvu85V/e7Gl+jLz+f+5nvc79v+QG24qgyE6QpkgQRQnQp10x5kvAaMwUmC699/S+9wxHCpb7I/BSAsTU9iIzogmdchT1rUVSDyTW1Loxe4F27jr38XIeeKu1wGsXVxfQK6sW4nuMcEFwzbDNBYpz7Ou7CxR1irJo8UKu/FKYrLkdSlNYXR3VBZxiXJhg9UUc6xLQzCRLiE8KVfa4E4D/7WtEu1zoT5HSGw1uadxWSBBFCdCndew1jYpW2M7L62PutmzYoRBew9ofPOeRdhZeqct2Y/9M7HOEK9Yuiuurg0loXpAM71hbVYqtXcMPAGzAoTt4dtdYECYxy7uu4C+uZ6jzXJkFCfEKY0WcGcN6BWleuB2LV2iSIC2aCuDTB6InaOxNEVesSJ21MgkBd3Z2vT3zNyeKTzQ8OjISw3oAKJ79r82t5AkmCCCG6nF+lLMLHYuGEVwUrdy3XOxwhXGLpjucBSCn3Z9jgS/UNRriGdSaIvwuWwlhZZ5xUtH8myJasLRwrOkagVyCz+s5ySFjN8rSZIOGuXw5j1eiBmiRB6lhrgjipM4zLE4yeqH6HmLYozobqMlCM0C2+zS/bJ7QPY2LHoKLy3/3/bfkBcda6IN+2+bU8gfxlCCG6nKTh07ik3BeAD3f+Q+dohHC+/af2sNOk7XxP6zdP52iEy1hbcrqiHoiVtThqB2aC/CdDmyUwq+8sArwCOh5TS4prW+QGechMEOtBWlleh5cttVXv0N4ND9QKM7XrkF4ujcWlWj0TxLktrV2eYPREtpkgR8Biaf3jrEnJbgna0sJ2sCYZPz/4OWXVZc0P7lVbF+TnNbD7Ezi6ySEFrbsKSYIIIbqkaf21A8GfjGfZk7lL32CEcLLXvnoEi6IwvBymTbhN73CEq5Q694CqUdbiqO08uD5SeITNpzajoHDDwBscGFgzSqxJEA+ZCeITWPe7tqduQQfVP1ArrS6VmSD1OXkmiMsTjJ4otJc2m6OmvG6WWWu0sx5IfWN7jCUhOIHi6mKWH25hpnNVuXaduxs+nQdLpsPzg2FfWrtfvyuRJIgQokuaOOG3jCoDVVF4/etH9A5HCKcpKMtni+VnAMZ3uxzFIF/tHkOPJIi1JkhFQbsevjRjKQCXxl1KXJALivdWV9QlbDylJgjoVhwVzjtQO7Tcs5Ig1iVqTbHNBHF8EkSXBKMnMnrVLWdpS12QDtQDsTIoBq5Puh6A9zPex6I2MRNlXxqsWdRwe1E2fDRXEiFIEkQI0UUpBiOXRkwHYKvlCPnWwnhCdDH/Wr2YMoNCryoz109/VO9whCuVdq7lMIWVhaQd1na+Xda1wtoe1+hTl8DxBDomQeofqC3NWIrFmgQJ7cIdq6x/gy0uh7EW6XV84tLlCUZP1p4OMbaZIH069NIz+84k0CuQ40XH+d+p/zUcYDFD+oNAY40BarelP+TxS2MkCSKE6LKun/4IiVUWKgwK/1r1R73DEcLhzBYzXxV8A8ClhgvwDwjWOSLhUnokQWyFUQva/NDPD35OeU05/br1Y3T0aIeG1aT69UC6YnvWpliTIHkHdXn5WX1nEeQVxPHi4/zPC0CBoFhdYnGJ1iyHsZjr1fFx7EyQ+gnGmwbe5NDnFo1oT4cY699iB2aCAAR4BXBVv6sAbEVw7RzfAkVZzTyDCkWntHEezKlJkPz8fObMmUNwcDChoaHMmzePkpKSZsffddddDBgwAD8/P3r16sXvf/97CgsL7cYpitLg8sEHHzjzVxFCdEI+vn6M9b4IgHUl26iqLtc5IiEc69/fvMgZk0qI2cyNU57UOxzharoshwnVrts4E6TGUmMrlHnjwBtRXJWQ8LR6IFa2DjGurwkC4O/lzy/7/RKA94ODICgaTN66xOIS/mHadXNJkLJ8sC5fcHDi0ppg7N+tPxdFX+TQ5xaNaGuHGHM1nDum3e5gEgTg+qTrMSgGtmRt4UjBeTGUtHLmc2vHdVFOTYLMmTOHvXv3snbtWlauXMnGjRuZP39+k+OzsrLIysrimWeeYc+ePbz77rukp6czb17DSvfvvPMO2dnZtsusWbOc+JsIITqrm6Y9RViNhTyTwkefL5AK2aJrsJjh6Ca+OPQuAJdURhLbs7++MbnAyy+/TEJCAr6+viQnJ7N9+/Zmx3/88cckJSXh6+vLkCFDWLVqld39qqryyCOPEBMTg5+fH5MmTeLgwcbPnFdWVjJ8+HAURWHXrl2O+pU6xjYTRIeaIG1Mgmw4sYGs0ixCfUKZljjN4WE1yTYTJNp1r+kOrAda+Yfb1sHCga5Puh4DClv8/TgS0sXff/9WLIexFkX1C2t3d5DG1E8wzhk4x3UJRk/Wvbd23dqZIOeOg2oGL3+HJGR7BvVkfM/xQCOzQVpb+8iTaiQ1wmlJkIyMDNLT03nzzTdJTk5m7NixvPjii3zwwQdkZTU+RWfw4MF8+umnXHnllfTp04cJEybw5JNPsmLFCmpqauzGhoaGEh0dbbv4+vo661cRQnRiMRExTKjSztCsLNiEKhWyRWe3Lw2eH8xPH1zFfm8zXqrK74tPdPnP84cffsg999zD4sWL2blzJ8OGDWPKlCmcPn260fFbtmzh+uuvZ968efzwww/MmjWLWbNmsWfPHtuYv/3tb7zwwgu8+uqrbNu2jYCAAKZMmUJFRUWD53vggQeIjXWj6fyqWm8miPsvh7F2rbim/zX4mly4z2bt3hDYxQ/CzxfaCwwmqC6D4uamxjtPz6CejA/QCki+79fFV+DXXw6jNlaLAShxTmcY3RKMnsw6EyT/aOuSjNZ6IGF9wEHFy28cpNVVWnFkBYWV9VZNxI+B4FigqWSYAsE9tHEezGn/I23dupXQ0FBGjRpl2zZp0iQMBgPbtm1r9fMUFhYSHByMyWSy237nnXcSHh7O6NGjefvtt1Gb+g8H7exNUVGR3UUI4SH2pbHgzF68LSp7fXxYGhRIjtEoFbJF57QvTfvcFmXxRohW/2N8aRnRZWe7/Of5ueee47bbbuPWW29l0KBBvPrqq/j7+/P22283Ov6f//wnqamp3H///QwcOJAnnniCESNG8NJLLwHaLJDnn3+ehx9+mJkzZzJ06FDee+89srKyWLZsmd1zrV69mi+//JJnnnnG2b9m61WVai0aoe4stCu0YzlMxtkMduTuwKSYmD1gtlPCapK1KLanzQQxekG3RO22DsVRrW701t73tJp8+wO1rsaaBLHUQEUTv6eTlq/9e9+/AR0SjJ4sJA4MXmCuhKKTLY93UFHU+kZFjaJ/t/6U15Tz6cFP6+4wGCH16dofzk+E1P6c+ldtnAdzWhIkJyeHyEj7TKfJZCIsLIycnJxWPUdeXh5PPPFEgyU0jz/+OB999BFr167l6quv5o477uDFF19s8nmeeuopQkJCbJe4OKmYLIRHqK2Q3d1iZnBlJQB/DQ9jSlwsnwX6a2OkQrboLOpVfH87OIgN/n4AfBXg3+U/z1VVVezYsYNJkybZthkMBiZNmsTWrVsbfczWrVvtxgNMmTLFNv7o0aPk5OTYjQkJCSE5OdnuOXNzc7ntttv497//jb+/vyN/rY6xFlg0+YF3gOte1zoTxNp2thWss0Auj7+cqAAXT8G2zgTxtCQI6NohxmpUWRn9K6uowGx/oNbVePmCd6B2u6klMU6YCZJxNoOdp3fqk2D0ZEYTdEvQbrem7o4tCdLxeiBWiqLYumz9d/9/qbHUWzUxaAZc+x4En7f0JjhW2z5ohsPi6KzanAR56KGHGi1MWv+yf//+DgdWVFTEFVdcwaBBg3j00Uft7vvTn/7EL37xCy688EIefPBBHnjgAf7+9783+VyLFi2isLDQdjlx4kSH4xNCdAK1FbJzjEZ+8PWxbbYoCo+Fh5FjNEiFbNF51Ps8/yMs1NbpQvWAz3NeXh5ms5moKPsD6KioqCZPrOTk5DQ73nrd3BhVVbnlllv43e9+ZzeztTkum31avx6IK2sAWGuCVJdqxf5akFeex+qjqwGYM2iOMyNrXImHzgSBurPOefolQZSiU9xYVAw0cqDW1diKo+Y3fr+1JogDO8PommD0dG3pEGNNglgLFjvItN7T6ObTjZzSHNZnrre/c9AMWLgHRszVfk4cDwt3SwKkVpuTIPfeey8ZGRnNXnr37k10dHSDdbo1NTXk5+cTHd38F1FxcTGpqakEBQXx+eef4+XVfPGg5ORkTp48SWXtmd7z+fj4EBwcbHcRQniA2p3fTC8T6nkHCRZF4YSXyW6cEG6t9nO6z9u7wUGvfJ6d48UXX6S4uJhFixa1+jEum32qRz0QAN+QututWBLz8c8fU22pZmj4UIZFDHNeXE3x1JogUK9DjH5JEApOMK20lG5eQY0fqHUltrogeY3fX1L7NxvomOUw9ROM1voQwoXa0iHGOlvEgTNBAHyMPlwz4BqgiXa5BiP0m6LdLs/3+CUw9bU5CRIREUFSUlKzF29vb1JSUigoKGDHjh22x65fvx6LxUJycnKTz19UVMTkyZPx9vYmLS2tVQVPd+3aRbdu3fDx8WlxrBDCg9RWvu5VXYPhvLpBBlUlrrrGbpwQbq32c/qdb8Pvuq7+eQ4PD8doNJKba5/gyc3NbfLESnR0dLPjrdfNjVm/fj1bt27Fx8cHk8lE377aDuyoUaO4+eabG31dl80+1aM9Lmg70T61iZAWiqNWm6v56MBHgNa1wuVqKuuW7XjkTBCdl8NUl0NZHj4qXNO3tl1uYwdqXUVLHWIcPBOkfoJxaMRQhzynaIPWdoipLKkrThzW2+FhzB4wG5NiYufpnew7u6/hgIgB2nXeQd06Rbkjp9UEGThwIKmpqdx2221s376dzZs3s2DBAq677jpbdfVTp06RlJRka3FnTYCUlpby1ltvUVRURE5ODjk5OZjN2hrnFStW8Oabb7Jnzx4OHTrEK6+8wl/+8hfuuusuZ/0qQojOqrZCdrTZwuK8fLtEyOjyCqLNFqmQLTqP+DGUBMeyPEhbd67Ufp4NqsrivPwu/Xn29vZm5MiRrFu3zrbNYrGwbt06UlJSGn1MSkqK3XiAtWvX2sYnJiYSHR1tN6aoqIht27bZxrzwwgv8+OOP7Nq1i127dtla7H744Yc8+eSTjb6uy2af2pbDuHgmCIBfbRKkhbog6cfSySvPI9IvkssTLndBYOextsc1+tQt4/Ek1iRIwXEtIeRqhae0a+9AZl8wt/kDta6gfoeYxjiwJojuCUZRbyZIC0mQ/NqZIv7d65ZMOVCkfySTEyYDTSQZuyVqRVxryqFQSkJYObVf1fvvv09SUhITJ05k2rRpjB07ltdff912f3V1NQcOHKCsrAyAnTt3sm3bNnbv3k3fvn2JiYmxXaxnUry8vHj55ZdJSUlh+PDhvPbaazz33HMsXrzYmb+KEKIzqlch+6qSMtacyOKes9pO+y5fH84aDFIhW3QeBiOvRgyk2GggsaqaNSeyeDs7lzUnsriqRPse7cqf53vuuYc33niDJUuWkJGRwe23305paSm33norAHPnzrVbtnL33XeTnp7Os88+y/79+3n00Uf5/vvvWbBgAaAVlVu4cCF//vOfSUtLY/fu3cydO5fY2FhmzZoFQK9evRg8eLDt0r9/fwD69OlDz549XfsGnE/XJEhtQqGZ5TCqqtp2yGcnzcbL0PzSZqew1QOJcm3dFHcRGAXeQaBa4Nwx17++9YArJI7IgKjmD9S6AmsSpLSJ5TAOnL2le4JR1NUEOXcMzM3UunFCUdTzWQukrj66mrzy8z5/RlPda+f97LQYOhtTy0PaLywsjKVLlzZ5f0JCgl1r2/Hjxzfb6hYgNTWV1NRUh8UohOjirBWy0x8kuiiLW4qKWRPoz14fH96MHsCDUiBKdBIV1eUsrz4IRri5qIIYs5mY2lmSBPfQEiBd+PM8e/Zszpw5wyOPPEJOTg7Dhw8nPT3dVtg0MzMTg6Hu3M6YMWNYunQpDz/8MH/84x/p168fy5YtY/DgwbYxDzzwAKWlpcyfP5+CggLGjh1Lenp6q5bi6k6v5TBQ1yGmmeUwu87sYu/ZvXgbvPlV/1+5JKwGbJ1hYpof11Upinaglr1LOxCzTot3FVsSREsY3jjwRlYdXcWqo6v4w8g/EO6nQwLPmQKsM0EaKYxqsdT9zXZwJoiqqraCqLolGAUE99RmmZkrtc96WGLj45xUD6S+IRFDGBoxlJ/O/MRHBz7ijuF32A+I6A9nMuDMAegnSTNwchJECCHcwqAZkHQFHN+CUpLLmF3r2Gv5H8tMRdyem0Fw1EC9IxSiRa+kP0qBEaKrzYy9YQNUnNDOdAdGaUtguugMkPoWLFhgm8lxvg0bNjTYds0113DNNdc0+XyKovD444/z+OOPt+r1zz95oys9kyB+odp1MzNB/rNPO0i7ovcVhPk6fgp4q1iXw3TBOjmtFt5PS4LkHXT9axee1K5rkyAtHqh1ds0th6koAGtnnA7+ze46s4t9Z/fpm2AUYDBoiY8z+7W6IE0mQawzQfo4NZwbB97IA2ce4MMDH/KbIb/B2+hdd2e4tS7IAafG0Jk4dTmMEEK4DYMREsfBkF8x91fPE1NloMRo4M019+sdmRAtqjZXsfK01gVgvKUfUTEJts8zieM8IgEizmPtQOGvw9l060yQJmqC5JTmsC5Tq7Wia70CaxLEU2eCgL7FUc9LggDcNPAmAD488CFV5irXx+RMzXWHsdYD8Q0BU8caOVgTjNP7TNcvwSg0rekQ44LlMACT4icR6R9JfkU+6cfS7e+0zgI7I0kQK0mCCCE8TqifD6MCpgGwvOYI5fmtaG8mhI6WrP8bp00qYTVmbpjytN7hCHfgDjVBmlgO89/9/8WsmhkdPZoBYS5eglGfLQniwTNBbEmQFoo3OkNBpnYd2su2aWL8xKYP1Dq75rrDOKgzjNskGIWmpQ4xqgpna2dhOTkJ4mXw4vqk6wEtUWY3azFcq2fFmQNaTEKSIEIIz/T76Q/TvVoh32hkyWqZDSLcl0W18EnmJwBcUh1HYnySzhEJ3Zlr6op+5h8Fi9m1r9/McpjymnI++Vn7vOp+kFYiM0HqkiD6L4eBFg7UOrvmlsM4qDNM/QRj/279O/RcwgFa6hBTlg8VhbVjHd8e93y/6vcrfIw+ZORn8MPpH+ruCO8HKFri2rqU0sNJEkQI4ZGigwMY7j0egE8rMqguytY3ICGa8PGmFzllMhNotjB7/F/0DkfobV8aPD9Y6/gB8Mkt2s/70lwXQzOFUVceWUlRVRE9Antwac9LXRdTY6QmSF0dgtIzzdZwcTiLBYpqW+SG2HdSavJArbOzJkEqCsFcbX+fA2r4uFWCUWisf19NzQSxLoUJiQMvP6eHE+obyvTe0wFsxXMB7bW7xWu3ZUkMIEkQIYQHW5C6mJAayDEZ+XD1fXqHI0QDqqry35+XADCuIpLBSSN1jkjoal8afDS3ruuJVVG2tt1ViZAmZoKoqsr7+7T2pzck3YBR71o1UhMEfIIgMFq73dSBmjOUngFzFSiGBu9/kwdqnZ1fqPb7QsMOMQ6YCbLi8Ar3STAKjXUmyLnjDRNf4LKiqPXdMPAGANZlriOrJKvuDimOakeSIEIIj9U3sjuDlWQAPizaiaW0kWJmQuho9ffvcdirGl+LhatTFusdjtCTxQzpDwKNLR+o3Zb+kGuWxjRRGHVr9lYOFx7G3+TPL/v90vlxNKemEsprD0SDovWNRW/h/bTrPBcWR7W2xw2KBWPDFq5NHqh1ZgZjXb2c85fEdLAmiKqqLM1YCrhJglFogmLA5Aequa4GTn0uKopaX/9u/UmOTsaiWvhg/wd1d0RY64L87LJY3JkkQYQQHu13k58gwAzHvE2kpT+kdzhC2Fny48sAjCkPJfnC8brGInR2fAsUNXewqGrLD45vcX4sTRRGfT9DmwUyq+8sgryDnB9Hc6w1U4w+dfF6KutZaFd2iLEmQc5bCmPVv1t/kmMaOVDr7JrqEFNSuxwmsH3LYdwqwSjqGAx1tT4aqwvioqKo57tx0I0AfHLwE8qqy7SN1pkgZ/a7NBZ3JUkQIYRHG94zhoHmYQC8f3YzqivXTAvRjE0/fcY+r3JMqsr0YZKg83jWg3pHjeuIRpbDHC86zsaTG1FQbGf5dVW/M4yi6BuL3vQojtpIUdTz3TiwkQO1zq6pDjEdnAniVglGYa+5DjHWxIiLkyCX9LyEuKA4iquKWXlkpbbR2iY3T2aCgCRBhBCCW8c/ho9FZb+Pia++ekTvcIQA4M3vngHg4rIAJo2ZrnM0QnetLe7piiKg1uUwNeVQXQFgm6o/ruc44oPjnR9DS6x1UwI9fCkMQPfa5TAunQlSmwQJjWtySKMHap2df5h2fX4SxDYTpO1JELdLMAp7TXWIsVjqJUFcVxMEwKAYuCFJ+6y8n/G+1oXJ2ia3OLuuY40HkySIEMLjXdKvD/2rtLaj/8laC5UlOkckPN2ug1+x01SMQVWZPOD3KJ5+JltA/BgIjgWa+iwoENxDG+dsPsF1cVQUUFxVzLJDywA36lpRXDsjxtPrgUC9mSCHwVUtaQuaXw4DTRyodXbW5TCl9ZIgqlpvJkjbl8O4XYJR2GuqQ0zRSTBXgsELQnq5PKxZfWcR4BXAkcIjbM3aqs3gsyaF83Rome1mJAkihBDA9WMWY1JVdvqa2PL1E3qHIzzcK5u0z+CoMh9mXiZn/gRa0cXUp2t/OD8RUvtz6l+1cU6PxWC3JCbtcBplNWX0CelDSkyK81+/NawzQSQJorXGNJiguqyFujIOZKsJ0vRMELA/UNuWs80FgTlZQCPLYSoKtU450OaZIGXVZe6XYBT2mpoJYp15FZYIRpNrYwICvQOZ1XcWAP/d/19to604qnSIkSSIEEIA0wcPpk9FIgDvHUuD6nKdIxKe6mDmNr41aDvQl/X6DQaDzAIRtQbNgGvfg+DzWr4Gx2rbB81wXSzWJTEVBSw/tByAawZc4z6zlkpkJoiN0Qu6JWi3XbUkphU1QUA7ULsi8QoA2+eoU7MVRq2XBCmtXQrjHQRefm16uq8yv6Kspoy4oDj3STAKe9aZIIUnoKaqbrttKUw/18dU69oB1wKw6dQm8srzpE1uPZIEEUIIQFEUZo34PwyqymY/Ez9u/LveIQkP9fL6P2FRFIaVGbk29bd6hyPczaAZsHAP3LwSrn5Lu16427UJELDNBPn5bAYZ+RmYDCamJU5zbQzNsc0EiWl+nKewLYlxQRKkqrSuPXELM0EAZvadCcBXx7+ipKqTL0e1FUat1x2mpHYpTDs6w6QdSgNgZp+Z7pNgFPYCo8A7EFQLnDtWt93WHte19UDq6x3Sm6HhQzGrZlYdWVVXHFVmgkgSRAghrG4YlUx8eSwA7x78AGoqdY5IeJqs3L18gzZdfWzk9Xib5GtaNMJghMRxMORX2rUrlsCcr3YmSFr2ZgAu7Xkp3XzdqBWttSaIKwrFdgauTIJYZ4H4hIBvcIvDh4QPISE4gQpzBWuPr3VycE7W6EyQ9nWGySrJsi0RurLPlY6ITjiDomhLXsC+LogtCeLazjDnm9FHS5AvP7y8rjiqJEEkCSKEEFYGg8KUQQ8CsN7XwOGtL+ockfA0L655kBpFYWA53Dz9Xr3DEaJpft2oAVbm/wRoZ6rdiswEsefSJEjLRVHrUxTFNhtk+eFOviTG1h0mv25bOzvDrDi8AoDk6GRiA2MdEZ1wlsbqgrhJEiQ1MRUvgxc/n/uZ/V61tUkKjts6e3kqSYIIIUQ9t/3iMuLKw7EoCm/veQfM1XqHJDxE/rljfGU+BkBKyEz8fFxfSE2IVvMLZYufL2fN5YT5hjG251i9I6pTU1m3HENqgmj0mAnSyiQIwPTe01FQ2JG7gxPFJ5wUmAtYC6OW5tV14rHOBGlDEkRVVdIOa0thZvR18VI30Xbnd4ipqYSCzNr79E2ChPiEcFncZQAsz94EviHa0h1Xtsx2Q5IEEUKIerxNBsb1vhuAVX4KWd+/oXNEwlP8a/X9VBgUeleq3DrjYb3DEaJ5vqEsDwwAYFriNLwMXjoHVI+1A4pihNw9YDHrG487sB6InTtuX7zRGaztcUNbrgdiFR0QzcUxFwN1MyA6JetyGHOlVhsF6mqCtGE5zK4zu8gszsTP5MekXpMcHKRwuPNngpw7piUavIPaPAPIGawzrb44sopq65IYDy+OKkkQIYQ4z8LxVxJTHkKNovD2zldkB1o4XUlJDqsq9gGQ7DuR0ABfnSMSonmF3r58HeAP1O1gu4V9afBW7UGjaoYlV8Lzg7XtniwourZ4o9m+eKMztGMmCNR9jtIOp2FRLY6OyjW8/MFU+/+3tS6ItTtMGwqjWjvlTI6fjL+XvyMjFM5gmwlyRLuuXxTVDQrajokdQ3ff7pyrPMem0NpEnYfXBZEkiBBCnMfP28hFsVpXjjRfC2d/+LfOEYmu7vVVD1BsNNCzSuXXM57QOxwhWpRemUO1otAfH5LCkvQOR7MvDT6aqy1FqK8oW9vuyYkQRak7UHP2NHhbEqT1M0EAJvSaQIBXAKdKTrEjd4cTAnMBRWnYIaaNM0HKa8pZc2wN4GYJRtE060yQwpNarQ03qQdiZTKYmN57OgBplGkbJQkihBDifPdPnE14RQDlBgPvbn8eLJ30rJRwe5UVhSwv0Xb4LzKkEB3acjcFIfS2vHA/ADPN3jpHUstihvQHAbWRO2u3pT/k2TP7bHVBDjr3dWyFUduWBPEz+ZGakArUzYTolM4vjtrGmiDrM9dTUl1Cj8AejIwa6YQAhcMFhINPMKDCuaNulwSButoy35Sd4JzBAHk/6xyRviQJIoQQjQgN8GZo91sA+NSnmuK9H+sbkOiy3k1/iHyjgchqC7dc8ZTe4QjRoiOFR9hdehKjqjKt3E2KRx/fUlcLpFEqFJ3Sxnmq7v20a2fOBLGYtfcZ2rwcBuraea49vpay6jJHRuY69dvkqmpdd5iA1i2HsRZEvbLPlRgUOVTrFBQFwnprt88erqsN4kZJkP7d+jMwbCA1qplVgf7a/wPmGr3D0o38ZQkhRBMWXT6XblW+FBsN/Gfz3+oqvQvhINXVZXxydhMAI9Xh9I4O1zkiIVqWdkg7SBtXVk54WYG+wViV5Dp2XFdkmwlyuPlxHVGSC5YarShtOzrzXBh5IXFBcZTVlLEuc50TAnSB+h1iqkqgplz7uRUzQXJLc/k2+1sAZvSWrjCdSv0OMfVrgrgRW92doCAwV2mtcj2UJEGEEKIJ0SH+9Au8FoAPvMup2P+FzhGJruajLx8hx6TQrcbCjZNlFohwf2aL2da9Y0ZJKVQUuEeCODDKseO6IusBWZ4Tl8NY64EE9wCDsc0PVxTFNhuk0y6JqT8TxFoPxCsAvANafOiKIyuwqBZGRI4gLrhty4mEzqx1QbJ/rEu2ulkSZFriNEwGE/u8vTjo5eXRdUEkCSKEEM3446T5BFV7kW808uGmP7vHzr7oEizmav6bnQ7AhdUDGBrfS+eIhGjZtuxtnC4/TbB3EJeWlWtnE6vL9Q4L4sdAcGwzAxTtwDx+jMtCcjvWmSClp6Gi0DmvUZCpXbehPe75ruxzJQDbc7aTVdLcEic3VT8J0obOMKqq2pbCSEHUTsia8Dj0lXYdEAm+IfrF04huvt24pMclAKQFBsCZ/TpHpB9JggghRDP6RISQ4K2dlXrfWEi19ctNiA5a8fWTHPdSCDRbuHb8k3qHI0SrLDu8DIBpiVfgrdSe6a8o0C0eG4MRUp9u4s7aFpWpf23X7IQuwze4biaMs5bEtLM9bn09AnswOno0Kqpt1lGn0thMkFZ0htmdt5ujhUfxNfoyOX6yEwMUTmGdCWJNMLpRPZD6rAm2FYEB1MhMECGEEE15cMKd+NcYyTaZWL7hMTi6CXZ/ol17cqcB0W6q2cy/j34GwLCKBH6RNFDniIRoWXFVMesz1wO1O9J+odod5ef0C6q+QTOg92UNtwfHwrXvafd7OmcXR3VAEgTqCqSmHU5D7WwzMO1mgrS+M4x1FsjE+IkEegc6KzrhLOcvfXGzpTBW43qMo5vJn7MmI1vy9+gdjm4kCSKEEC0Y1jOCHop2VuY98rAsmQ6fzoMl0+H5wbAvTecIRadhMcPRTWxc/lsOeKv4WFRmXvyY3lEJ0Sprjq2h0lxJn5A+XND9AvDrpt1RXqBrXHbK8rTr8Yvg6rfg5pWwcLckQKysB2ZungS5PP5y/Ex+ZBZnsuvMro7H5Up2M0Fa1xmm0lzJqqOrAJjZR5bCdEr+YeBTb/mLYnTLE2VeRi+u6DEegOXVeR67zNupSZD8/HzmzJlDcHAwoaGhzJs3j5KSkmYfM378eBRFsbv87ne/sxuTmZnJFVdcgb+/P5GRkdx///3U1Hhuix8hhPM9mjiQILOFo95erPf3q7ujKBs+miuJENGyfWla0mzJdN47/Q0As4rLSfU9pXNgQrSO9Uz1jL4zUBQFfEO1O9xhOQxAVRnk7tNuX3gTDPkVJI7z7CUw57O28Tz8tXNmMxae0K5DOlbjyN/Ln8vjLwc6YYHU+t1hWjkTZMOJDRRXFRPlH8Xo6NHOjU84x740qN/Weee7bnuibMagOQB87edFYZ5nLolxahJkzpw57N27l7Vr17Jy5Uo2btzI/PnzW3zcbbfdRnZ2tu3yt7/9zXaf2WzmiiuuoKqqii1btrBkyRLeffddHnnkEWf+KkIIT2YxM/SHv3FDUTEA/woNZpuvDzlGI1CbQU9/yC0z/sJN7EvTkmVFWaz382W7ny9GVWVe4TmUj252y50kIerLLMrkh9M/YFAMTO89XdtoWw5ToFdY9rJ3gWqGoBgI6aF3NO5nXxps/qd2++R258xmtCVBOjYTBGBW31mANgOpoqaiw8/nMtaZIOXnoLi2S0gLM0FsCcY+MzBK0q7zsX7HW6rtt7vpibKkiCH0NytUKwprDnykdzi6cFoSJCMjg/T0dN58802Sk5MZO3YsL774Ih988AFZWc1Xevb39yc6Otp2CQ4Ott335Zdfsm/fPv7zn/8wfPhwpk6dyhNPPMHLL79MVVWVs34dIYQnO74FirKYU1SMl8XCQR8ffhMTxZS4WD4LDABUKDqljRPifBYzpD8IqHwWGMDdUdrOsBnY6uerjZEkmnBzyw9rZ+NTYlOI9K89q22dCeIuNUFOfq9d9xipbxzuyHqQVp5vv92RB2kVRXVFIR2QBBkZNZLYgFhKqktstWg6BesyMVSwnmVvZiZIXnkem09tBuo644hOpN53fEPueaJMURRmeEcDsPzURp2j0YfTkiBbt24lNDSUUaNG2bZNmjQJg8HAtm3bmn3s+++/T3h4OIMHD2bRokWUldVNLdq6dStDhgwhKqquz/uUKVMoKipi7969jv9FhBCitt97paJlza0sisJj4WG1M0LqxglhpzaJlmM08mh4GFg/Q7bPj0GSaMKtWVSLrUuHXb0C68GeuyyHObVDu+45qvlxnsZVB2lFtUv7/LqBT8cLexoUgy0pYJ0p0SkYveoShPlHtOtmusN8ceQLzKqZoRFDSQxJdH58wrFqv+Ob5p4nyq6IGIlRVfmpIpcjhUf0DsflnJYEycnJITLS/g/eZDIRFhZGTk5Ok4+74YYb+M9//sPXX3/NokWL+Pe//82NN95o97z1EyCA7eemnreyspKioiK7ixBCtFptS8FML1PdAWwti6JwwstkN04IO7XJsUwvE2pznx9Jogk39V3Od2SXZhPkFcRlcfW6r7jbchhrEqSHJEHsuOogrcBxS2GsrEm3rdlbyS3tRP9HWpfEqBbtuomZIKqqsuzQMkAKonZarf3udrPv+PDo4Ywt15aZpR3qRElGB2lzEuShhx5qULj0/Mv+/fvbHdD8+fOZMmUKQ4YMYc6cObz33nt8/vnnHD7c/n7mTz31FCEhIbZLXFxcu59LCOGB4sdAcCy9qs0YzquibVBV4qrNENxDGyfE+WqTY2cNDb9ytc9Pjd04IdyN9Sz8lMQp+Jp86+5wp8Koxbm19SgUiB2udzTuxVUHabZ6II7bz44LjmNE5AgsqoWVR1Y67HmdzpoEsWqiJkhGfgaHCg7hbfAmNTHVBYEJh2vtd7e7fcdH9GdGsdawZMWRFZjdaLmOK7Q5CXLvvfeSkZHR7KV3795ER0dz+vRpu8fW1NSQn59PdHR0q18vOTkZgEOHtFZe0dHR5Oba/ydt/bmp5120aBGFhYW2y4kTJ1r9+kIIgcEIqU8TbTazOO+cXSJkekkp0WYzpP5VOhCIxsWPwRIUy9uhWus8pfbzY1BVFuflE222SBJNuK3S6lLWHl8LNHKm2p1mgpyqrQcSORB8gvSNxd246iDNQe1xzzezr/a5W354OWpnaedp7RADYPJt8jNp7XwzodcEgr2DGx0j3FztiTJQmhiguOd3fHh/xpeVE2w2c7rsNNuymy9X0dW0OQkSERFBUlJSsxdvb29SUlIoKChgx44dtseuX78ei8ViS2y0xq5duwCIiYkBICUlhd27d9slWNauXUtwcDCDBg1q9Dl8fHwIDg62uwghRJsMmgHXvsdVhmDWnMjiukKtU8xWP1/Khl2v3S9EYwxGPo8ZwH4fbwItFj4+lcPb2bmsOZHFVSW1Na8kiSbc1NrjaymvKSc+OJ5hEcPs73SnwqhSFLVprjpIc8JMEIDJ8ZPxNfpytPAoe/L2OPS5ncY/rO52QGSDpbQA1eZqVh1dBWhdYUQnVXuiTHP+v3Ptz+74He8dgHdIHFNLtf0Qa/FrT+G0miADBw4kNTWV2267je3bt7N582YWLFjAddddR2xsLACnTp0iKSmJ7du3A3D48GGeeOIJduzYwbFjx0hLS2Pu3LlccsklDB06FIDJkyczaNAgbrrpJn788UfWrFnDww8/zJ133omPj4+zfh0hhNASHQv3EH3jcq4b+gghVd6cMZl45+Q69zgTKtxSRXE2/yr/GYC5BRUMqK7moopKbQZRcCxc+54k0YTbsp6pntlnJsr5B3LuVBhViqI2rdmDtFqOOEhz0kyQQO9AJsZPBDrRgVr95TCBjS+F2XhyIwWVBUT4RZASm+KiwIRT1J4oIzjGfru7f8eH92dWcSkA6zLXUVxVrHNAruO0JAhoXV6SkpKYOHEi06ZNY+zYsbz++uu2+6urqzlw4ICt+4u3tzdfffUVkydPJikpiXvvvZerr76aFStW2B5jNBpZuXIlRqORlJQUbrzxRubOncvjjz/uzF9FCCE0BiMkjqPP+F8T5/cbAJYEenH6m7/oHJhwV2+svJ3TJiPh1TB8+tdw80q4+i3teuFu9905Eh7vZPFJvs/9HgWl8dad7rIcxmKBrB+021IUtXFNHaQBDJrlmP+HbEkQx9fes86UWH10NVXmKoc/v8P511sO00RnGGtCZ3rv6ZgMJldEJZyp9kRZp/qOjxjABVVV9DYGUmmu5MtjX+odkcs49S8uLCyMpUuXNnl/QkKC3dq+uLg4vvnmmxafNz4+nlWrVjkkRiGEaK+np87luo8/pNjvLC8d+pTHC+6CUCm8LOqcPfU971ccBIOBwepkUvr1AnrpHZYQrbLiiHYSKjkmmeiARuqu1S+MqqqNTvl3ibyfobIIvPwhIkmfGDqDQTMg6QqtC0xJrva+ffM0HFkPFUXg24Hl4uaaug40Dp4JApAcnUyUfxS5ZblsOLGByQmTHf4aDtXCTJD8inw2ndwEyFKYLqX2RFmnETEABZhp8eEflJB2OI2r+1+td1Qu4dSZIEII0ZX16h5ActTdACwP9OPA2od0jki4m+e//AOlBgO9KowsnPWo3uEI0WqqqtraJjZ5kGadCWKpgaoS1wTWGGtR1NgLwShn1JtlPUgb8iu49EEI7w8VhfDdmx173uJsUM1g8HJKFwyjwWibjdQplsT4dqu7XV0B53XeWHVkFTVqDRd0v4C+3fq6ODghaoUPAGB6fh4GxcDO0zvJLMrUOSjXkCSIEEJ0wKNTphNc2geLovCPvG2Q/aPeIQk3cXjvJ6xQtIKRw4JupU+EdKwQncfO0zs5WXISf5M/E3tNbHyQlz8YvbXbei6JkaKo7WMwwrh7tdtbX4Kq0vY/l20pTA9opB24I1iTcZtPbSavPM8pr+EQ+9Jg5e/rft79ETw/WNtey9p2WmaBCF1FaEmQyIITpERdBNR9Nrs6SYIIIUQHhPh78cuk+zGqsNnfj01r7tWmhQvPZrHw9y1PYlYU+pcGcO+M3+kdkRBtYi2IOiVhCv5e/o0PUhT7JTF6kaKo7Tf4VxAaD2VnYceS9j+PE+uBWCWGJDI0Yihm1cwXR75w2ut0yL40+GgulJ6x316UrW3fl8aB/ANk5GdgMpiYljhNnziFAK2LUW39mpkRWhI57XAaFtWiZ1QuIUkQIYTooLsuuZjg0tEAPF91AvNBzyksJRq3ZfPf2exdg1FVSYlfRPdA6V4mOo+y6jK+PK79P9bimWq9i6NWlUHuXu22FEVtO6MJxv5Bu73lBaipbN/zOKk97vlm9pkJwLJDy+zqCroFixnSHwQai6t2W/pDpNUmGMf3HE+oNYkohF5qZ4NcpgQS5BVEdmk23+d8r3NQzidJECGE6CAfk5E7Lr4fH7OBn328Wbb+jw3W/wrPYakq5R/73wNgUEksCyZP1zkiIdpmXeY6SqtL6RnYkxFRI5ofbD2IKz/n9Lgalf2jVosiMFprRynabvgNEBSr1fXY9X77nsOWBHF8UdT6piRMwdvgzaGCQ2TkZzj1tdrs+Ja64rCNUqkuOsXKQ8sAmNl3pkvCEqJZ4f0B8D17hCmJU4BOUnengyQJIoQQDjB7xAC6VU0F4F9eZZTtfEfniIRelq25j/3eBvwtKlNHPIWvl1HvkIRok/r1CgxKC7uKfrUFIPVaDmMtitpzlH7daTo7kw/8Qivyzf/+Aebqtj+HbTmMc5MgIT4hXNbrMsANaxeU5LY4ZIufL/nVxYT5hvGLHr9wQVBCtMDaUSvvZ9tMq7XH11JWXaZjUM4nSRAhhHAARVFYPOluAqp9OG0y8e62ZztWZE50ShWFJ3nltNbqvX/pEG64uIWz6EK4mZzSHLZlbwOwdeNolt7LYaQoqmOMmAsBEVCQCbs/bvvjXZQEgbolMV8c+YLq9iRsnKUVXXGWBwUCcEXvK/AyeDk7IiFaFqHNBOHMAYZFDCM+OJ7ymnLbksiuSpIgQgjhIGP7xtDDdBMA7/obyNv0jM4RCVd7e9Wd5JiMhNXALROfxmiQM9Oic1lxeAUqKqOiRtEzqBUHtHoXRpWiqI7h7Q8pC7Tbm55t25JOVYWC2uUwob0cH9t5UmJTCPcLp6CygI2nNjr99VotfkztkqzG/98vNBjZ4O8H1CVyhNBdbZtc8o+gmKttdaDcbqaVg0kSRAghHOivU39NcHk3yg0GXtr/Hyg5rXdIwkXyT27n3xWHAOhnvpyJA51/MCCEI6mq2vbWnbaZIDrUBCnOra1FoUDsha5//a7monlaUuvsIdi3rPWPqyiEqmLtdnAPZ0Rmx2QwMb23Vmsp7ZAbHagZjJD6dO0P5ydCFFYH+FOtKAzoNoABYQNcHZ0QjQuOBe8grbZS/hGu7H0lCgrf5XzHqZJTekfnNJIEEUIIB+oXFcSQsLsA+DzAh4Nr/0/niISrvLD2HkoMBnpUmPjD9Ef0DkeINvvxzI8cKzqGn8mPyQmTW/cga00QPZbDWGeBRCSBT5DrX7+r8QmCi+/Qbm98BiytbJNpXQrj312bUeIC1iTdxpMbya/Id8lrtsqgGXDtexAcY789OJbl8YMBKYgq3IyiQHg/7faZ/cQExjA6Rut42JVng0gSRAghHOyJqTMIKYnHoij8I2cDnPlZ75CEkx3Z8yHLlQIABvrfwgWxobrG01W9/PLLJCQk4OvrS3JyMtu3b292/Mcff0xSUhK+vr4MGTKEVatW2d2vqiqPPPIIMTEx+Pn5MWnSJA4ePGi7/9ixY8ybN4/ExET8/Pzo06cPixcvpqqqyim/n96sO7yTek0iwCugdQ/SczmMrSiq1ANxmOT52lnh0/vg59Wte4wL64FY9evWj0HdB1Gj1rD6aCvjdJVBM2DhHrh5JVz9Fty8ksO3LGNP6SlMiolpidP0jlAIe/WKo0Ldcq20Q2nu14raQSQJIoQQDhYR5MOUPvdjUGGTvy+b19yjd0jCmSxmnt36FDWKQp/SQB6c8Vu9I+qSPvzwQ+655x4WL17Mzp07GTZsGFOmTOH06caXnG3ZsoXrr7+eefPm8cMPPzBr1ixmzZrFnj17bGP+9re/8cILL/Dqq6+ybds2AgICmDJlChUVFQDs378fi8XCa6+9xt69e/nHP/7Bq6++yh//+EeX/M6uVFFTQfrRdKCNZ6r1LIxqK4oq9UAcxq8bjL5Nu73x71q9j5bY2uPGOS+uRlgP1JYfcsN2ngYjJI6DIb+CxHEsP7oSgLE9x9Ldr7vOwQlxnnrFUQEm9pqIv8mfkyUn2Xl6p46BOY8kQYQQwgnunfALQkq0NerPlx3EcnSTzhEJZ9m++W9s9DZjVFVGxT5AdIiv3iF1Sc899xy33XYbt956K4MGDeLVV1/F39+ft99+u9Hx//znP0lNTeX+++9n4MCBPPHEE4wYMYKXXnoJ0GaBPP/88zz88MPMnDmToUOH8t5775GVlcWyZcsASE1N5Z133mHy5Mn07t2bGTNmcN999/HZZ5+56td2mQ0nNlBcXUxMQAwXRV/U+gdaZ4K4uiaIxQJZP2i3pSiqY6XcCSY/7f09vK7l8TolQaYlTsNkMJGRn8GB/AMufe22MFvMfHH4C0AKogo3ZS2Omqf9Hfl7+duWRHbVJTGSBBFCCCfw9zZx68j78TYb2O/jzfKvHmj9+mrRaVgqi3l2/38A6Fccy92p03WOqGuqqqpix44dTJo0ybbNYDAwadIktm7d2uhjtm7dajceYMqUKbbxR48eJScnx25MSEgIycnJTT4nQGFhIWFhYU3eX1lZSVFRkd2lM1h2eBmgtcU1KG3YPbTWBHH1cpizB6GyCLz8IWKga1+7qwsIh1G/1m5/04rZIDoshwEI9Q1lfM/xgHsfqG3N3srp8tOE+oRyac9L9Q5HiIYirEmQg7bOUNaE3ZpjayivKdcrMqeRJIgQQjjJ3OTBhFZcDsDLhgLKd3+oc0TC0VZ+eR/7vA34WVQuH/IEQb5eeofUJeXl5WE2m4mKirLbHhUVRU5OTqOPycnJaXa89botz3no0CFefPFFfvvbppc8PfXUU4SEhNgucXGuPTveHqfLTrM1S0v8tLorjJV1OUxFoWsTvdalMDHDwWhy3et6ijF3gdEbTnwLxzc3P9aaBAl1/Wfd+nn94sgX1FhqXP76rWHtYDM1cSpeRvmOEG4oNF77e6+pgIJMAEZEjaBHYA9Kq0tZl9mKGWGdjCRBhBDCSYwGhQcvW0hAtTe5JhPvbXkSair1Dks4SGVBJi+d1pY59SkZwq3j2rCEQHQ6p06dIjU1lWuuuYbbbrutyXGLFi2isLDQdjlx4oQLo2yfL458gUW1MDxiOPHB8W17sHU5jGqpa5PqClIU1bmCY+DCm7TbG//e/NgC63IY184EAa3GRphvGGcrzrIla4vLX78lRVVFrD+xHpClMMKNGU3Qva92u7Y4qkEx2JKMbtWK2kEkCSKEEE50eVIPorgegLd9VfK2/FPniISjLFm9gGyTkW41cMOlf8HLKF+pzhIeHo7RaCQ3N9due25uLtHR0Y0+Jjo6utnx1uvWPGdWVhaXXXYZY8aM4fXXX282Vh8fH4KDg+0u7kxVVVthyXa17vTyBVNtHRxX1gWRoqjO94u7wWCCIxvgxHeNjzFXQ3G2dtvFNUEAvAxetm4ryw4tc/nrt2TNsTVUmivpG9qXQd0H6R2OEE2zLok5U1df58o+VwLwbfa35JQ2PkOys5I9NiGEcCJFUXgidR4hFcGUGQz8a/ebri8gKByu4MS3vFt+GID4qsuZPiRB34C6OG9vb0aOHMm6dXVTci0WC+vWrSMlJaXRx6SkpNiNB1i7dq1tfGJiItHR0XZjioqK2LZtm91znjp1ivHjxzNy5EjeeecdDIauteu07+w+Dhcexsfow5SEKe17EmtdEFd1iKkqg9y92m0piuo83eJh6Gzt9qZnGh9TlAWoYPQB/3CXhVafNXm34cQGCisLdYmhKdYz6DP6zEBRFJ2jEaIZ5xVHBYgLimNk1EhUVFYeWalTYM7Rtb7JhRDCDQ3t2Y1+QXcA8FmAN4fXL9Y5ItFRL669h2KjgZhKEwun/VF2bl3gnnvu4Y033mDJkiVkZGRw++23U1payq233grA3LlzWbRokW383XffTXp6Os8++yz79+/n0Ucf5fvvv2fBggWAlqBcuHAhf/7zn0lLS2P37t3MnTuX2NhYZs2aBdQlQHr16sUzzzzDmTNnyMnJabJmSGdkPXs+odcEgryD2vck1iUxriqOmvMTqGYIjIbgHq55TU819h5AgZ/TIfvHhvcX1lsKo1OCMCksiQHdBlBtqWb10dW6xNCYY4XH2HVmFwbFwPTeUjRbuDlbm9yf7TbXb0WttqZldichSRAhhHCBP0+7im4lPTArCv/IXA3njukdkmin47v/y2cGreNHH++5jIzX5+ynp5k9ezbPPPMMjzzyCMOHD2fXrl2kp6fbCptmZmaSnZ1tGz9mzBiWLl3K66+/zrBhw/jkk09YtmwZgwcPto154IEHuOuuu5g/fz4XXXQRJSUlpKen4+urLe9Yu3Ythw4dYt26dfTs2ZOYmBjbpSuoMlex+ph20NihegW+Idr1gdVwdJOtu4DTWJfC9BwFkoB0rvC+MPgq7famZxver1NnmPPZahe4UZcYayxjYscQ4R+hczRCtKD+TJB6yY7JCZPxM/lxrOgYP+X9pFNwjidJECGEcIEeoX6Mjbsfgwrf+Pvybfq92sHC7k9cc9AgOsZi1v6dfvqI57Y8SY2ikFAayKIrm+4SIhxvwYIFHD9+nMrKSrZt20ZycrLtvg0bNvDuu+/ajb/mmms4cOAAlZWV7Nmzh2nTptndrygKjz/+ODk5OVRUVPDVV1/Rv39/2/233HILqqo2eukKNp7cSGFlIZF+kVwcc3H7nmRfGmTv0m5vexWWTIfnB2vbncVaFLXHCOe9hqgz7l7tel+aXb0AoN5MEH27IF3R+wpMiondebs5UnBE11gALKqFFUdWAO2stSOEq3XvC4pB6/RVUlcrK8ArgEm9tFbyXalAqiRBhBDCRR6afAmhxUMAeK54D5Yl0+HTea45aBDtty9N+/dZMp0fvriT9b4KBlVlut8EenX31zs6Idpt1dFVgHYAaTQY2/4E+9Lgo7laW8X6irK17c76P+3kDu1aiqK6RtQFkDQdUGHTc/b3uclMkO5+3RnTYwxQ97nW0w+nfyCnNIdAr0Aui7tM73CEaJmXr9YqFxokO6f30ZZzfXn8S6ot1a6OzCkkCSKEEC4S7OvFvTEXE2CxkOHjzRcB9Q6gnX3QINrHepBXlIUKPBOmFYC8qriE+cdfln8v0WmVVJXwzYlvAJiaOLXtT2AxQ/qDQGOzYmq3pT/k+FluJaehMBNQIPZCxz63aJp1NsjujyG/3kwLa3vcUH1ngkDd53j10dW6z9ay1iaZ0GsCPkYfXWMRotUikrTrPPu6IKOjRxPmG0ZBZQFbs7bqEJjjSRJECCFcxWLmyuOv8JsCrZ7EP8JC+Z+fLzlGI049aBDtc95B3odBgfzk64OvxcKdBYUoIP9eotNaf2I9VZYqEoITSApLavsTHN9S2xmkKSoUndLGOZK1HkhEEvi6d/vhLqXHCOg7SStI+7/n67a7yUwQgAlxE/A1+pJZnMm+s/t0i6PaUs2Xx74EsLXvFaJTsBVHtZ8JYjKYbN3D3Kn4cEdIEkQIIVzl+BaU4ixuLCom2GzmjMnE7dGRTImL5bPAAJx20CDap95B3keBATzZXZsFUqkobPTzQ/69RGdmXTIwLXFa+7ob1Vsz7pBxrXWqdilMz5GOfV7Rskvu1653LdWSH6paLwmi/0wQfy9/Lo27FNB3Scy27G2cqzxHmG8YyTHJLT9ACHfRSJtcK2tCb33mespryl0ZlVNIEkQIIVyl9mCgwGCguF4rQYui8Fh4WO2MEBx/0CDap/bfIcdo5M/hYbYuFKr8e4lOLr8in2+zvgXauRQGIDDKseNay1YUVZIgLtfrYkgYB5Zq2PwClJ+D6lLtPjdpVWz9PKcfS8eiWnSJwXqm/PL4yzEZTLrEIES7RNQmQc5rkwswLGIYsQGxlNWUsfHkRhcH5niSBBFCCFepPRjI9DKhnnfm1aIonPAy2Y0TOqv9d/gywE/+vUSXsvbYWsyqmYFhA0kISWjfk8SPgeBYoKlZJIp2YBw/pp1RNsJigVM7tdtSFFUfl9ynXe94F3a+p932DQWjl14R2RnXYxxBXkGcLjvNjtwdLn/9ipoK1mWuA2QpjOiEwvtp1yU5UF5gd5eiKKQmpgJdY0mMJEGEEMJVag8aelWbMZxXtE1RVeKqzY4/aBDtFz+GwsBI3glpWHfAIP9eohNbfUzbge3QQZrBCKlP1/5wfiKk9ufUv2rjHOXsQagsAi9/iBzkuOcVrZd4KXTvA+ZK+Gqxtq2iwG06nHkbvZkYPxHQ50Bt06lNlFaXEh0QzfDI4S5/fSE6xDcEgmK023kNZ4NYvzM2ndxEcVWxKyNzOEmCCCGEq9QeNESbzSzOO2eXCFEVhaNeRkh9yrEHDaLdVHMNfwr2Ic9kIqymxvbvZVBVFuedI9psdvxBnhBOllOaw85cbTaF9axeuw2aAde+B8Ex9tu9A7Ttg2Z07PnPZy2KGjMcjLLMQBcZK+Ds4Ybb3ajDmXVJzNrja13eztOaeJmaMBWDIodZohOyLYlpWBekf7f+9A7pTZWlivWZ610cmGM59a8zPz+fOXPmEBwcTGhoKPPmzaOkpKTJ8ceOHUNRlEYvH3/8sW1cY/d/8MEHzvxVhBDCMWoPGq4yBLPmRBZvZ+cyvVj7f/GPEeHkl57WOUBh9eHK2/jaR8Gkqjx9psr277XmRBZXGUKcc5AnhJOtObYGFZURkSOIDoju+BMOmgEL98DNK+HiO7RtBi/od3nHn/t8UhRVX7aOWY1xnw5n9dt5WmvfuEJJVYmtVkK7a+0IobdmiqMqimLXirozc2oSZM6cOezdu5e1a9eycuVKNm7cyPz585scHxcXR3Z2tt3lscceIzAwkKlT7f8zeeedd+zGzZo1y5m/ihBCOE7tQUP0jcu56Ip/kRz3Z0Iq/cgzGXl4xzOoZ4/oHaHHO7zvU54t0A64+pwbTu/f/WT794q+cTks3C0JENEp1e8K4zAGIySOg8ufgOCeUHEO9nzquOe3kqKo+tKrLXIb6dXO8+sTX1Nprmx/22kh3IGtTW7D5TBQ993xbfa35Ffkuyoqh3NaEiQjI4P09HTefPNNkpOTGTt2LC+++CIffPABWVmN/wdqNBqJjo62u3z++edce+21BAYG2o0NDQ21G+fr6+usX0UIIRzPetAw5FfMnHEDscb7MVlgk5837y+/Ccw1ekfosSpLz3Df1sVUGAz0KfXlt1P+TmRogO3fi8RxsgRGdErHi46z7+w+jIqRyxOcMFPDaIKL5mm3t72mtVB1lOpyyN2r3ZaiqPrQqy1yO1gP1NZlrqOipsIlr9nhttNCuINmZoIA9AruxQXdL8Csmvny2JcuDMyxnJYE2bp1K6GhoYwaVfdFNWnSJAwGA9u2bWvVc+zYsYNdu3Yxb968BvfdeeedhIeHM3r0aN5++23UZr5oKysrKSoqsrsIIYS7UBSFl6+dQXDBJAD+oRRy4OtHdI7Kc/192Q0cMimE1qgMiXySywfFtPwgIToB60HaxbEXE+Yb5pwXGXEzGH0g5yc4sd1xz5v9I1hqtG5MIT0d97yi9fRqi9wOQyOGEhMQ47J2nucqztmW3nS41o4QerLWBDl3XEs+N6IrLIlxWhIkJyeHyMhIu20mk4mwsDBycnJa9RxvvfUWAwcOZMwY+8r7jz/+OB999BFr167l6quv5o477uDFF19s8nmeeuopQkJCbJe4uLi2/0JCCOFEEUE+LE59iPCSSKoMCg8c/YzyTH2nFHuiDVue5sMa7TsqsWQ6/zdzos4RCeEYqqradlid2rozoDsMuUa7vf01xz2vtShqj1EgZ9n1oUdb5HYyKAaXtvNce3wtNWoNA8MGkhiS6PTXE8JpAiLArxugQt7BRoekJqSioLDz9E6yS7JdG5+DtDkJ8tBDDzVZvNR62b9/f4cDKy8vZ+nSpY3OAvnTn/7EL37xCy688EIefPBBHnjgAf7+9783+VyLFi2isLDQdjlx4kSH4xNCCEebMDCKi2OfIKjGwBFvL55Ovx2qSvUOy2OcOb2XP+1/D4BhBRH8cfYf8fWSZS+iazhw7gBHC4/ibfBmQtwE575Ycm39t33Lta4hjmCtByJFUfWjR1vkDrAm+zae3Oj0dp7WWVZSEFV0eopSb0lM43VBogKiGBE1AoD0Y+muisyh2pwEuffee8nIyGj20rt3b6Kjozl92r7LQU1NDfn5+URHt1yN/JNPPqGsrIy5c+e2ODY5OZmTJ09SWVnZ6P0+Pj4EBwfbXYQQwh0tnp5MSNmtKKrKpz4W1q5oupi0cByLxcyDX9xKgdFAQiVMuPBFkqLlu0J0HdaDtEt6XkKgd2ALozsoZhjEXawtX9nxjmOe09oZRoqi6quptsjBsW7XMWtAtwEkhiQ6vZ2nXdvpBFkKI7oAW3HUxuuCQF2SsbMuiWlzEiQiIoKkpKRmL97e3qSkpFBQUMCOHTtsj12/fj0Wi4Xk5OQWX+ett95ixowZREREtDh2165ddOvWDR8fn7b+OkII4VZ8vYz889p5RBYMBuDRwh/I2f2hzlF1fW+tvoPvDOX4WiwkKndw67hBeockhMNYVAvpR7WzdS47U22dDfL9O1BT1bHnKjkDBZmAArEjOhya6KD6bZGvfku7dsOOWa5q51m/7XRMoNSQEl1AC8VRAS6PvxyTYiIjP4OjhUddFJjjOK0myMCBA0lNTeW2225j+/btbN68mQULFnDdddcRGxsLwKlTp0hKSmL7dvvCWYcOHWLjxo385je/afC8K1as4M0332TPnj0cOnSIV155hb/85S/cddddzvpVhBDCpfpHBXFj8p+JqvClyGjkoW8fw1zculpKou32HPyCf53ZDMCF5wbzyPW/lsr+okv58cyPZJdmE+AVwCU9L3HNiw6cAUExUHoa9i3r2HNZl8JEDABfmaHlFup1OHPnjlmuaOcpS2FEl2MtjtpEm1yAbr7duDj2YqBzzgZxWhIE4P333ycpKYmJEycybdo0xo4dy+uvv267v7q6mgMHDlBWVmb3uLfffpuePXsyefLkBs/p5eXFyy+/TEpKCsOHD+e1117jueeeY/Hixc78VYQQwqVuvrgPPbz/D1+Lyg5vI28su8Gx7SYFAKXl57hv0yJqFIULi724Ydo/CQ+UWYWia1l1RDtImxA3AV+Tr2te1OgFo36t3d7WwQKp9YuiCtEG8cHxDOo+yGntPOu3nZ6c0PC4RYhOKbx2OczZQ2CuaXJY/SUxzXVqdUdOTYKEhYWxdOlSiouLKSws5O233yYwsG4dakJCAqqqMn78eLvH/eUvfyEzMxODoWF4qamp/PDDDxQXF1NSUsKuXbv47W9/2+hYIYTorBRF4R/XTiPi3BQAXjWfZtemv+gcVdfz+PI5nDKqRFWbGRTzJOOTWq5ZJURnUmOp4cvj2sGfy89Uj7wFjN7aTI5TO1oc3iQpiio6wJm1C2xtp2Oc2HZaCFcLiQMvf7BUw7mml7pM6DUBH6MPx4qOkZGf4cIAO04yB0II4abCArxZNP0hehVFYFYUHjz4PsU5P+kdVpexctvzrKo8gUFVGVySyh9mylk80fVsz95OfkU+oT6htqnLLhMYCRf8Uru97fXmxzbFYoFTP2i3ZSaIaIcpCVOc0s6zfttpWQojuhSDAcL7abebKY5af4llZ1sSI0kQIYRwY+P6RzA64WnCqxWyTEYe++JW1I4WGRScyMvgiX1vAnDpuW4suOExfEzuuaZdiI6wnqmeHD8ZL4OX6wMY/Vvteu9nWoHTtjp7CCoLweQHkVKwWLRddEC0U9p51m87PbHXRIc9rxBuoRXFUcF+ppVFtTg7KoeRJIgQQri5RVNH0r18HkZVZY2piuWrb9c7pE6t2lLNfat+TZlB4YJyM2NGvUTfyCC9wxLC4arMVazLXAfoeKa650itra25Cna82/bHW5fCxA4Ho8mRkQkP4owlMS5tOy2Eq9na5DZdHBVgXM9xBHoFkluWy67Tu5wfl4NIEkQIIdyct8nA09fNIzFfOwv6l7xvOXYgTeeoOq8Xv1zIPrWEILOFAcp8Zo8dqndIQjjFplObKKkuIco/ynYmXBfW2SDfvwXm6rY91lYUVeqBiPZzdDtPXdpOC+FK1pkgZ/Y3O8zH6MOEXhOAusRgkyxmOLoJdn+iXVvMjoi0XSQJIoQQnUCfiECuHfs0CWU+lBsMPLDp/6guc067v65s+5F03s35BoDx+X1YeOMd0g5XdFnWs96pCakYFB13+S6YBQERUJwNGSva9lhbUVSpByLaz9HtPHVpOy2EK1nb5OYd1GozNcM602rt8bXUWJroJrMvDZ4fDEumw6fztOvnB2vbdSBJECGE6CSuuyiBOP8/EWRWyfCCfyy7Qe+QOpWC8nM8uPEhVEVhQhFceeWrdAvw1jssIZyirLqMb05oCb+pvXU+U23y0TrFAGx/o/WPqy6H3L3abSmKKjrIke08dWk7LYQrhfUGgwmqS6HoVLNDk2OSCfMNI78in23Z2xoO2JcGH82Foiz77UXZ2nYdEiGSBBFCiE5CURT+cs1U4s5pXUz+XX2KLVuecZuphW6pduql+tPH/N9nvyJPMZNQVcOAmCdIGRCrd3RCOM36E+upMFcQHxzPoDA3KCg66tfaDnXmFsjZ3brHZP8ElhoIiISQns6NT3R59dt57s9vfop/c3RtOy2Eqxi9IKyPdruF4qgmg4nL4y8HGlkSYzFD+oNAY4nH2m3pD7l8/1WSIEII0YmE+nvzh1/+H4MLugPwx4y3OfvvGW4xtdDt1Jt6+dHahWysOY2XqnJVQR9+M2uG3tEJ4VT1W3e6xZKv4FgYeKV2e9trrXtM/aUw7vA7iE7NUe08t+fo2HZaCFdqZXFUqJtptT5zPZXmyro7jm9pOAPEjqrNNDm+pQOBtp0kQYQQopO5uHd3ruk+iz5VVZw1GXkgsjvbfH3IMRp1nVroVupNvdzq68PTYaEALDxbwC2l/8P755X6xieEExVUFLDllLZD6VZnqq0FUnd/DK2paSRFUYWD2ZbEHGt/O09rAkW3ttNCuEor2+QCDI8cTnRANCXVJWw6uanujpLc1r1Wa8c5iCRBhBCis7GY+WXuazx9+ixGi8p2Pz9+ExPFlLhYPgv018boMLXQbdSbevlBUCDzoyOpNhhAVQlQLSjg2e+P6PLWZq6lRq0hKSyJ3iG99Q6nTq+LIXoI1FTAzvdaHi9FUYWDjes5jgCvAHJKc9rVzrPKXMW64zq3nRbCVazFUc+0nAQxKAamJmh/E7YlMRYz/Lymda8VGNWeCNtNkiBCCNHZHN+CUpxFiMWCpd4McYui8Fh4GDlGgy5TC91G7dTLDC8vnuzerW4avaLwuLw/wgPUXwrjVhSlbjbId281n4gsOQMFmYACsRe6JDzR9fkYfZjYayLQinaejdh0ahPF1cVE+kfq23ZaCFcIty6HaTkJAnXfORtPbqTk3FH49yzY/VELj1IguAfEj2l/nO0gSRAhhOhsaqcMZnqZUM9bJ29RFI55mezGeZySXI54mbgjOrJBHQGLonDC098f0aXllubyfY42g8J6Vs6tDPkV+IVBYSYcaKYuw6kd2nV4f/ANcU1swiNYD9SabefZBLdpOy2EK4T3BxQoz4fSvBaHJ4UlkRCcQKW5kq//Mw2ObgSvALj4Du15OL+2U+3PqX8Fg9HBwTdP/nqFEKKzqZ0y2Ku6BkMjbf7eDA2mTFFcPrXQXXxfdZabYqLIMxnhvPfHoKrEVdfu9Hro+yO6tjXH1qCicmHkhcQExugdTkNefjBirnZ7ezMFUmUpjHCS5Jhkuvl0a7qdZxPqt5221hYRokvz9ofQOO12K2aDKKrKNGM3AFaZqiEiCeZ/DalPwbXvQfB530nBsdr2Qa4vVi9JECGE6Gzix0BwLNFmC4vz8m2JEEVVMVksbPPz4+aYaE77ed7Z0y/2LWX+7pcoMhoZVlHJA/nnbO+PQVVZnJdPtNmiy9RLIVzBbZfC1HfRPFAM2lnC0xmNj5GiqMJJvAxeTE7QWs23ZUmMte10r6BeDOruBm2nhXCF1hZHLT8HH9zA1J++AOBbf3/Ozf2srq7IoBmwcA/cvBKufku7XrhblwQISBJECCE6H4MRUp8G4KqSMtacyOLt7Fy+PJHFO9mn6WY2s9/HizmrbuDgoXSdg3UNVVV5Y/PjPPTdU1QrcFlJBW/knObGolLb+7PmRBZXlZRpD9Bh6qUQzpZZlMmes3swKkYmx0/WO5ymhfaCAbVn0re/3vB+iwVO7dRuy0wQ4QTWJGGDdp7NcLu200K4gq04ajNtcrN+gNcugZ9Xk6AaGOgbSQ0qa7M2248zGCFxnLYsMnGcrvthkgQRQojOaNAM29TCaLOZiyoqiTabucArnEtyxtOjSiXHqDB30318u+NVvaN1qmpLNY+u+jUvHPoYgJkFFqKCn8V09RKU894fPadeCuFs1oO05Jhkuvt11zmaFiTXFkj98QMoL7C/7+whqCwEkx9Eyhl34XgXRl5IlH9Uw3aeTajfdlqWwgiPYiuOur/hfaqqFbl+a7JWyDo0HuatZdoFNwHtKz7sKia9AxBCCNFOg2ZA0hVal5OSXAiMwit+DHcUVXHnOyvp5/dnDvpZuH33SzxacJSZE5/WO2KHK6ks5t5lv2JLRRYGVeVXeX6EDXqFO6aO1M7UDZpu9/4QP0ZmgIguSVVVu6KNbi9hnJbgOL0Pdr0PKXfW3WctihozDIxe+sQnujSDYmBq4lTe3fsuq46uYlL8pGbHW9tOD+g2gN6hbtR2Wghns84EydkNuz+p25eqLoeVf6jr/jJgGsz6F/h1Y0pwFM/ueJaduTvJKc0hOiBav/ibIDNBhBCiM2tkamFsqB9Lbp9FgPE5hhT7UaMoPHxyFf/6bDaqxaJ3xA6TU5TJ3I8msaUiCz+LhZnZPRkw7kPunDaqbqqyG029FMKZfj73M4cLD+Nl8GJi/ES9w2mZosDo27Tb29/QlsBYSVFU4QJ27TyrSpod2ylq7QjhDPlHtOuyPPh0HiyZDs8mwUsXaQkQxQiXPw7XLQU/rShqTGAMIyJHoKKy5tgaHYNvmiRBhBCiCwr29eKtWy8jKvwVhuVrGfhXivfx8H8nUl1RrHN0HXfg1DbmfHYlBy1ldK8xMzbrYiZe/W+uTZYzdMIzpR/T6v+M6zGOYO9gnaNppaGztfa3547Coa/qtktRVOECA8MG1rXzPPF1k+Ps2k5LEkR4kn1psOyOhttLT0NxFviGwi0r4Rd3a4nteqx/K9YEoruRJIgQQnRR3iYDz80ewYjBL3NB7gUYVZW0mjx+99/xFBUc1zu8dtuy97/c/OU8TisWEqpq6Jt7LfNufY5L+0foHZoQuqi/FGZq7050kOYdABdqa8dt7XKryyF3j3ZbZoIIJ1IUxXag1lztAmvb6eERw4kNjHVVeELoy2KG9AcBtekxXn4Ql9zoXZMTJmNUjOw9u5fjRe63zylJECGE6MIUReGey/tz1WV/J/7URPwsFrYbqpj72XSyTmzVO7w2+2zTE9zx3ZOUGhSGlFsIK7qPx+54kAtiPa8dsBBWP+X9xKmSU/ib/Lm056V6h9M2F80DFG0mSN4hyP4JLDUQEAkhcXpHJ7o4axLk26xvOVdxrtExshRGeKTjW6Aoq/kxxdnauEaE+YZxcczFgHvOBpEkiBBCeIBrL4rjnmseptupOXSvsXDYCHPW/oZ9e2sLWlnMcHSTVvTq6CbtZz2dF49aU80LK25m8ZGPMCsKFxeb8OPvvHDHXHqE+ukbqxA6s+5gXtbrMvxMnezvIaw39Ktt57v9NditdXmiWwKoXaeGkXBPiSGJDAwbSI1aw9rjaxvcb207bVAMTE5w47bTQjhaSW6Hx9VfEqOqzcwo0YF0hxFCCA9xaf8Iwn99JwuXRBLX/Z+c8DFwy/bHeObQGi45fF7GPzgWUp/Wp5XsvjRtCmZtPFXAn6IiWeXvC8DYs6H4xzzLU9eMwtskuXzh2cwWs63wXKdt3Zk8Hw6u0QqkWqden9wOzw/W7/8h4TGmJk4lIz+DVUdXce2Aa+3us7Wdjk4m3C9cj/CE0EdgVIfHTew1kce3Ps6RwiP8fO5nBoQNcFBwHSd7j0II4UEuiA3h3dvnYCj9M/3LvCg3GLjr3DY+VIvIMRrZ7utDjtEIRdnw0VwtIeFK+9K01y3KIsdo5Gs/X26N1hIgJlVlRm53+gx6g2euu0gSIEIA3+V+R155HiE+IaTEpOgdTvtUltbeOO9MoV7/DwmPYm0pbW3nWZ+14LAshREeJ36MdkIMpYkBCgT30MY1IdA7kEt6XgI0X3dHD7IHKYQQHqZHqB/v/24avoZnmV5UjkVR+HN4GJPjYpkXE8WUuFg+C/TXBqc/5LqlMfWKcH0WGMDkuFh+Hx3JT36++FgsvJxzmj9asrlvcr+6FrhCeDjrmerL4y/Hy+ilczTtYDHDmoeauLM2KeLK/4eEx2mqnefP537mUMGhztN2WghHMhi1mXhAw0RI7c+pf9XGNcOaQEw/mu5WS2IkCSKEEB4oxM+Ldyca+cvZM9xSUAiAWptYsCgKj4WHkW00QNGpJoteOdzxLVQWZ5EW4M/i8DBbPADVikLv6hoCKnJcF48Qbq7KXGWrY9Bpl8K0WHxPde3/Q8IjNdbO03q7U7WdFsKRBs2Aa9+D4Bj77cGx2vZWLFW8pOclBHgFkFWaxY9nfnRSoG0nNUGEEMJDeZWfBmBceQXvhtp3V7EoCjfERjGltJxLdv+HUTFD8fZ1TgeW3OydbPzpXTae3Mi2Xj0pNzTMz1sUhRNeJqLN5tYX6xKii9t8ajPFVcVE+kUyInKE3uG0jwOK7wnRUZMTJvPX7X+1tfPsFdSrc7adFsLRBs2ApCu0RHRJrlYDJH5MizNArHxNvkyIm8CKIytYdXQVwyOHOzfeVpIkiBBCeKraYla9qmswqCqW+ktMVJU8k4n3Q4J4/9wW/P87hhRjKJfGjmHc8HmEhyc1/pwWc4tflBZzDXsPfM43Bz5lY0EGGYbaDhAmAAPhNTXkGY1QLx6DqhJXXWMXtxCeznqQNiVxCsZW7pC6HQcU3xOio6ztPDdnbWb10dWkxKZ03rbTQjiawQiJ49r98KmJU1lxZAVrjq3hgYsewGTQPwXhtOUwTz75JGPGjMHf35/Q0NBWPUZVVR555BFiYmLw8/Nj0qRJHDx40G5Mfn4+c+bMITg4mNDQUObNm0dJSYkTfgMhhOjiaoteRZstLM7Lx1C7VtOgqvzf2XM8n3OGGUVldKuxUGYwsE4t4pFT6Vz2xTVc/84IXkmby76Dq1AttUmMfWnw/GBy/jOT7V/cQc5/ZmrdHfalUVp2lq+2PsOf/juZy94bzg3fPc5rRXvJMFhQVJXeFQaG5vXi9ZPFfHUii8fOi2dxXj7RZkuLRbhE1/byyy+TkJCAr68vycnJbN++vdnxH3/8MUlJSfj6+jJkyBBWrbIvzNaZ9zvKqsvYcHID0ImXwoBDiu8J4Qj1l8R06rbTQriZi2MvJtQnlPyKfLbnNP+97SpOS4JUVVVxzTXXcPvtt7f6MX/729944YUXePXVV9m2bRsBAQFMmTKFiooK25g5c+awd+9e1q5dy8qVK9m4cSPz5893xq8ghBBdW72iV1eVlLHmRBZvZ+ey5kQWs4tLmVBeQaLP7zl34u9EHb2a4Xk96F373/EeQzX/OvcDs7c8yKQlw3j0vXF8vXI+H6hFTKktsDo5LpYHfCqYv/Eexn50KX/4eQnLqrLJNyj4WywMKfHhguyhGA4upLzsBYZe8CwRY/+CAaVBPFeVlGkv3IoiXKJr+vDDD7nnnntYvHgxO3fuZNiwYUyZMoXTp083On7Lli1cf/31zJs3jx9++IFZs2Yxa9Ys9uzZYxvTmfc7NpzYQHlNOXFBcVzQ/QK9w2k/BxXfE6KjJvSagLfBmyOFR/js4GcATE2QpTBCdJSXwYvJ8ZMB+7o7elJUJ5dpfffdd1m4cCEFBQXNjlNVldjYWO69917uu+8+AAoLC4mKiuLdd9/luuuuIyMjg0GDBvHdd98xatQoANLT05k2bRonT54kNja2VTEVFRUREhJCYWEhwcFS6EgI4eH2pWldWeoXJwzuoR14DJpBtdnC98fOsS4jl/X7T1NSsI/+QRtQAw9x0L/SvoaHqtotY6kvttpCTEkYhSUXcrD8Ui7s3ZNJA6OYkBRJXJh/q+MR7s8Z37PJyclcdNFFvPTSSwBYLBbi4uK46667eOihht1FZs+eTWlpKStXrrRtu/jiixk+fDivvvqqy/Y7nLXPcde6u9hwcgPzh87nrgvvctjz6kb+7oUbWPj1QtZlrgMg2DuYDddu6Jxdl4RwM9/nfM+ta24lyCuIDbM34G30dthzt+d7Vv8FObWOHj1KTk4OkyZNsm0LCQkhOTmZrVu3ct1117F161ZCQ0NtOyIAkyZNwmAwsG3bNn75y1/qEboQQnRuLRS98jIaSOnTnZQ+3Xl4+iCOnBnF+v2pfJWRS/mhE1zu/yERQTv4MsCfPFPDs7XXFhZzU1ExT1keJnjgBK4bGMnYfhEE+jTxFdTBIlyi66mqqmLHjh0sWrTIts1gMDBp0iS2bt3a6GO2bt3KPffcY7dtypQpLFu2DOjc+x2FlYX8L+t/QCdfClOf/N0LNzA1caotCdJp204L4YZGRI0gyj+K3LJcNp3axMRe+raddpskSE5ODgBRUfaFr6Kiomz35eTkEBkZaXe/yWQiLCzMNqYxlZWVVFZW2n4uKipyVNhCCNE1tKHoVe+IQHpHBPKbcb0pLB/FoXWFjPz+K24p1JbCqOcVNL2tsIhos5lXruqJYegwh8cjur68vDzMZnOj+wj79+9v9DE5OTkt7lNYtzU3pq37Ha7Y5/jq+FfUWGro360/fUL7OPz5dSN/90Jnl/a8lACvAEqrS7mi9xV6hyNEl2FQDKQmpLJk3xJWH12texKkTTVBHnroIRRFafbS1M6Inp566ilCQkJsl7i4OL1DEkKILiHEz4uRF2idYmLMZh5ttKCpWfs5KFq3OIVwFVfscwyJGMINSTcwe8Bshz+3EJ7M1+TLC5e9wGNjHmNU1KiWHyCEaLUrel/B5PjJXNn7Sr1DadtMkHvvvZdbbrml2TG9e/duVyDR0drOcW5uLjExMbbtubm5DB8+3Dbm/AJoNTU15Ofn2x7fmEWLFtlNiS0qKpJEiBBCOIq1u0NRNleVlDKmvIITXibiqmtqEyCKdr90dxDtFB4ejtFoJDc31257bm5uk9//0dHRzY531n6HK/Y5+nfrz6LkRS0PFEK02eiY0YxmtN5hCNHlDOw+kGfHP6t3GEAbZ4JERESQlJTU7MXbu31FThITE4mOjmbdunW2bUVFRWzbto2UlBQAUlJSKCgoYMeOHbYx69evx2KxkJyc3ORz+/j4EBwcbHcRQgjhIOd1d4g2m7moorIuAQLS3UF0iLe3NyNHjrTbR7BYLKxbt862j3C+lJQUu/EAa9eutY131n6H7HMIIYQQ7s1pLXIzMzPZtWsXmZmZmM1mdu3axa5duygpKbGNSUpK4vPPPwdAURQWLlzIn//8Z9LS0ti9ezdz584lNjaWWbNmATBw4EBSU1O57bbb2L59O5s3b2bBggVcd911re4MI4QQwgkGzYBr34PgGPvtwbHadunuIDronnvu4Y033mDJkiVkZGRw++23U1payq233grA3Llz7Qqn3n333aSnp/Pss8+yf/9+Hn30Ub7//nsWLFgAyH6HEEII4amcVhj1kUceYcmSJbafL7zwQgC+/vprxo8fD8CBAwcoLCy0jXnggQcoLS1l/vz5FBQUMHbsWNLT0/H19bWNef/991mwYAETJ07EYDBw9dVX88ILLzjr1xBCCNFa0t1BONHs2bM5c+YMjzzyCDk5OQwfPpz09HRbYdPMzEwM9do1jxkzhqVLl/Lwww/zxz/+kX79+rFs2TIGDx5sGyP7HUIIIYTnUVS1toKdB2lPL2EhhBBCtI58z9aR90IIIYRwnvZ8zzptOYwQQgghhBBCCCGEO5EkiBBCCCGEEEIIITyCJEGEEEIIIYQQQgjhESQJIoQQQgghhBBCCI8gSRAhhBBCCCGEEEJ4BEmCCCGEEEIIIYQQwiNIEkQIIYQQQgghhBAeQZIgQgghhBBCCCGE8AgmvQPQg6qqABQVFekciRBCCNH1WL9frd+3nkz2OYQQQgjnac8+h0cmQYqLiwGIi4vTORIhhBCi6youLiYkJETvMHQl+xxCCCGE87Vln0NRPfA0jcViISsri6CgIBRF0TsclygqKiIuLo4TJ04QHBysdzi6k/ejIXlPGpL3xJ68Hw3Je2LP+n5kZmaiKAqxsbEYDJ698lb2OeTvQt6PhuQ9aUjeE3vyfjQk74m9juxzeORMEIPBQM+ePfUOQxfBwcHyR1OPvB8NyXvSkLwn9uT9aEjeE3shISHyftSSfQ75HFjJ+9GQvCcNyXtiT96PhuQ9sdeefQ7PPj0jhBBCCCGEEEIIjyFJECGEEEIIIYQQQngESYJ4CB8fHxYvXoyPj4/eobgFeT8akvekIXlP7Mn70ZC8J/bk/RAgn4PzyfvRkLwnDcl7Yk/ej4bkPbHXkffDIwujCiGEEEIIIYQQwvPITBAhhBBCCCGEEEJ4BEmCCCGEEEIIIYQQwiNIEkQIIYQQQgghhBAeQZIgQgghhBBCCCGE8AiSBPFATz75JGPGjMHf35/Q0FC9w9HFyy+/TEJCAr6+viQnJ7N9+3a9Q9LNxo0bufLKK4mNjUVRFJYtW6Z3SLp66qmnuOiiiwgKCiIyMpJZs2Zx4MABvcPS1SuvvMLQoUMJDg4mODiYlJQUVq9erXdYbuOvf/0riqKwcOFCvUPRzaOPPoqiKHaXpKQkvcMSbkD2OWSfoz7Z57An+xwNyT5H82SfwzH7HJIE8UBVVVVcc8013H777XqHoosPP/yQe+65h8WLF7Nz506GDRvGlClTOH36tN6h6aK0tJRhw4bx8ssv6x2KW/jmm2+48847+fbbb1m7di3V1dVMnjyZ0tJSvUPTTc+ePfnrX//Kjh07+P7775kwYQIzZ85k7969eoemu++++47XXnuNoUOH6h2K7i644AKys7Ntl//97396hyTcgOxzyD5HfbLPYU/2ORqSfY6myT5HnQ7vc6jCY73zzjtqSEiI3mG43OjRo9U777zT9rPZbFZjY2PVp556Sseo3AOgfv7553qH4VZOnz6tAuo333yjdyhupVu3buqbb76pdxi6Ki4uVvv166euXbtWvfTSS9W7775b75B0s3jxYnXYsGF6hyHcmOxzaGSfo47sczQk+xyNk30O2eeozxH7HDITRHiUqqoqduzYwaRJk2zbDAYDkyZNYuvWrTpGJtxVYWEhAGFhYTpH4h7MZjMffPABpaWlpKSk6B2Oru68806uuOIKu/9PPNnBgweJjY2ld+/ezJkzh8zMTL1DEkJXss8h2kr2OezJPkcd2eew19F9DpOT4hLCLeXl5WE2m4mKirLbHhUVxf79+3WKSrgri8XCwoUL+cUvfsHgwYP1DkdXu3fvJiUlhYqKCgIDA/n8888ZNGiQ3mHp5oMPPmDnzp189913eofiFpKTk3n33XcZMGAA2dnZPPbYY4wbN449e/YQFBSkd3hC6EL2OURbyD5HHdnnsCf7HPYcsc8hM0G6iIceeqhBgZjzL/KFK0Tb3HnnnezZs4cPPvhA71B0N2DAAHbt2sW2bdu4/fbbufnmm9m3b5/eYenixIkT3H333bz//vv4+vrqHY5bmDp1Ktdccw1Dhw5lypQprFq1ioKCAj766CO9QxNOIPscQjie7HPUkX2OOrLP0ZAj9jlkJkgXce+993LLLbc0O6Z3796uCcaNhYeHYzQayc3Ntduem5tLdHS0TlEJd7RgwQJWrlzJxo0b6dmzp97h6M7b25u+ffsCMHLkSL777jv++c9/8tprr+kcmevt2LGD06dPM2LECNs2s9nMxo0beemll6isrMRoNOoYof5CQ0Pp378/hw4d0jsU4QSyz9E6ss8hWkv2OezJPkcd2edoWXv2OSQJ0kVEREQQERGhdxhuz9vbm8ebdTUAAAKgSURBVJEjR7Ju3TpmzZoFaNMP161bx4IFC/QNTrgFVVW56667+Pzzz9mwYQOJiYl6h+SWLBYLlZWVeoehi4kTJ7J79267bbfeeitJSUk8+OCDHr8zAlBSUsLhw4e56aab9A5FOIHsc7SO7HOIlsg+R+vIPofsczSnPfsckgTxQJmZmeTn55OZmYnZbGbXrl0A9O3bl8DAQH2Dc4F77rmHm2++mVGjRjF69Gief/55SktLufXWW/UOTRclJSV2mdOjR4+ya9cuwsLC6NWrl46R6ePOO+9k6dKlLF++nKCgIHJycgAICQnBz89P5+j0sWjRIqZOnUqvXr0oLi5m6dKlbNiwgTVr1ugdmi6CgoIarNcOCAige/fuHruO+7777uPKK68kPj6erKwsFi9ejNFo5Prrr9c7NKEz2eeQfY76ZJ/DnuxzNCT7HPZkn6Mhh+xzOKJNjehcbr75ZhVocPn666/1Ds1lXnzxRbVXr16qt7e3Onr0aPXbb7/VOyTdfP31141+Hm6++Wa9Q9NFY+8FoL7zzjt6h6abX//612p8fLzq7e2tRkREqBMnTlS//PJLvcNyK57erm727NlqTEyM6u3trfbo0UOdPXu2eujQIb3DEm5A9jlkn6M+2eewJ/scDck+R8tkn6Pj+xyKqqpq+/MwQgghhBBCCCGEEJ2DdIcRQgghhBBCCCGER5AkiBBCCCGEEEIIITyCJEGEEEIIIYQQQgjhESQJIoQQQgghhBBCCI8gSRAhhBBCCCGEEEJ4BEmCCCGEEEIIIYQQwiNIEkQIIYQQQgghhBAeQZIgQgghhBBCCCGE8AiSBBFCCCGEEEIIIYRHkCSIEEIIIYQQQgghPIIkQYQQQgghhBBCCOERJAkihBBCCCGEEEIIj/D/jp5fTVYTPKoAAAAASUVORK5CYII=",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optimization terminated successfully.\n",
" Current function value: 0.071050\n",
" Iterations: 26\n",
" Function evaluations: 50\n",
"Qubit 4, 2\n",
"depol = 0.27%\n",
"decay = 1.18%\n",
"readout = 1.15%\n"
]
},
{
"data": {
"image/png": 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chwZBevbsWegNoqA5c+YU+Zjdu3cX3riA0aNHl1j+ImoQczOvBL3eGgABrY/HX+YzRjpVpYPixW0NbubWtkO5LrRD0TX+UX21LI3V4wlLPU+Y0dx/wL9BoT9QwZ7B/KvdE/yr3RPkmnLZfW4rfx5awMaEbZxWcvjb2/aDlElReDskmB6ZWYRZmos1ucUx/yZC1ECKotitLMVV1K1b12YSCcCePXtwd3cHICoqCg8PD+Li4qT0pRQVKYft3r0769atsxmzWrDEtiw6deqEu7s769at44EHHgDg6NGjxMXFlWs/5aIoZS9Lua5X2c7wX9fLqQe4lolKlt4qmzdvpl+/fgwZMgTQ/i+PHTtGVFSU9TEGgwGj0bZP0ObNm+nRowfPPvus9bbSsioaN25srx/DRt26dYmPj7d+n5qaSkxMjPX7jh07kpCQgJubG5GRkQ5ZQ7lYPgOteAEyLubfLgdpQlTOid/h3E5w84LRO2HDe7BrLjS5DR77SYKLLqpmfeIUNY+5SddpdzdrAKSgkVdSGJp6lcD7v4a2ZTgbFtVXy9IoR0NTd507XSNupWvErby8fwmxPz/Ff/39WBjgZ7OdSVE44+6mBVekuZgQtV6vXr346KOPmDdvHt27d+f777/nwIED1lIXPz8/XnrpJV544QVMJhM333wzKSkpbN68GX9/fx5//HEn/wSupbRy2KFDh9KgQQOmTJkCwJgxY7jtttv4+OOPuffee1mwYAE7duzgq6++su7z8uXLxMXFcf68lnlx9OhRAJtJQCNGjGDcuHEEBwfj7+/P888/T/fu3YtsilrlXPAMf3JyMgkJCWRnZ3Ps2DG+/PJLli1bxrx586wZEM2bN2fJkiVs2bKFoKAgpk2bRmJiok0QJDIykm3btnH69Gl8fX0JDg6mefPmzJs3jzVr1tCkSRP++9//8s8//1gzTKpSr169mDNnDv/6178IDAxk4sSJNk1Te/fuTffu3enfvz8ffvghLVq04Pz586xcuZL777+/3OVzdhHVV+s589NT+bcNXw1Bjap+LULUBKoKG7T3HLo+Cf5h0Ky3FgTJvioBEBcmQRDh0i4rQfgo8F9/v0L36VSVQVfTCDSZytfMS6eveJaGbz0a5+XxZEoqi/19bQMzqsouDwNdsrLJ8w6VF5cQtVx0dDRvvvkmr7zyCllZWTzxxBMMHTqU/fv3W7d55513qFu3LlOmTOHUqVMEBgbSsWNHXnvtNSeu3DWVVg4bFxeHztoTCnr06MEPP/zAG2+8wWuvvUbz5s1ZtmwZbdq0sW6zfPlym55iDz/8MACTJk2yjjr95JNP0Ol0PPDAA2RnZxMdHc3nn39eBT9xGRXIcizcrLvqz/Bb/j09PT1p0KABN998M9u3b6djx47Wbd544w1OnTpFdHQ03t7ejBo1iv79+5OSkmLd5qWXXuLxxx8nKiqKzMxMYmJieOqpp9i9ezcPPfQQiqIwePBgnn322Qr1+aisCRMmEBMTw3333UdAQADvvPOOTSaIoiisWrWK119/neHDh3PhwgXCwsK49dZbnVvCnXLW9vvkWAmCCFFRBbNAeozRbqtznXZ5+aQWJHHQ1C1ROYpaUr1KDZWamkpAQAApKSn4+/s7ezmiGEcSUhn93S/UC57MPk8DOlVFhcI9OPzrw9j9VRNtNRlhehtIjbdpsKqoqnXizCPJ6Rzz+Y7/e+ymwmN1hRBkZWURExNDkyZN8PT0dPZyRAWV9P8o77P5Svq3sOtroYrHtm/YsIFhw4ZZJ76IilEUhZiYmCJLZhzyt/KXMbBzTv73//oUOknWmRDlpqrwzR1aEKTH83DXu9rtORnwXrh2/eVT4FOn+H0Iu6jIZw45QhMuafOJi7w2fyGGsFnsMxjwM5qYkXSBiNy8Qg1NqzTVt0DqccEGqw1z81jp68OM4EB+CPShfdo4Hv1iMl89cQf1/OUgTwghhINVJstR1B7JZ7RLD3/IToXLp5y7HiGqq6KyQAAM3lq/wdRzWjaIBEFckq70TYSoWj/uPMtrP3xOXoMvSDBAfaOJ75s8RBdDHcKMRrpkZWt9N/zrO2ccrSX12D/cup5wo5EnVT/eD+6Gu6qy1zcHxWsCj36+lKMJV6t2fUIIIYQQRUkxB0Eib9YuJQgiRPld2wvE95oR2sFNtctLVTwOW5SZZIIIl6GqKp/9cYJl22aSFvE7OTqF6/MUPrvne0LCb4DbXq/SVN8SFdNg9V6dnnp75zJm14ec9NRRL+Q9Rn5zmfcffpgezUKcs1YhhBDCziIjI20m74iKmTRpUtWNzFXV/EyQpj3h6CoJgghREcVlgVjUuQ5O/6VlggiXJEEQ4RJyjSZeX7qffaenktRgD6DQ0+jOBw/+jHdAhLaRq6X6FrOezu0f578+YTy78UXOuSv41Z/Fq/Ov8MJ9w7n/hoZOWKgQQghhXxIEsQ9LA94qkXEJ8jK165Hmzy+XT0nzRiHKo7QsEIBgc3NUyQRxWVIOI5wuLTuPJ+ZuY/+51zgXugeARwhg+uD1+QGQaqZps2i+v/u/tMmDq3qFtIYLmfHrx3z2x3FqYS9iIYQQQjhbcpx26RsGdZqBotdG5qYlOnddQlQnpWWBgPb6Arh0ourWJcpFgiDCqRJTs3jwiz9IyhzP2aA4FFXlFY9IXn1kHXqvAGcvr1JCwm9g9gMr6WV0I1encKnB7yzb9S6v/riPXEtTVyGEEEKIqmDpBxIYAW4G7RKkJEaIsipLFggUGJNrzrQSLkeCIMJpjiZcpf/nK8n1ep3zvlfwMJmYFtSFxwb9jOLu4ezl2YVXYCOmPbyOIaofAIl1d7Hz3JuMmLuNtOw8J69OCCGEqIFUFbKvQsZl7VIOQjSWfiCWLFtL80YJgghRNmXJAgEIigRFBzlpkJZUZcsTZSdBEOEUW05c5KFvF6MPeYckzyyCjEa+bXQ/vft9B7qa9Wup9w5m/KN/MF4fjqKqJAbGcDbzNR6ctZ7E1CxnL08IIYSoOTKTIfGgloaeHKtdJh7Ubq/tCmaCgARBhCiPsmaBALh5QIC5D6A0R3VJNetoU7gmkxFi/oL9SyDmL37aFcszC77DEP4JKe5GGufm8b82z9P+jnedvVLHcfdkyOBVfOJzPZ4mExd8L5Lh+Sb9v1jFsfhkm38fTEZnr1YIIYSofjKT4UoMmHJtbzflarfX9kCIZIIIUXFlzQKxkOaoLk2CIMKxDi2H6W1g7n3w4wiYex9p6+5A13AumXq4ITuX7296n4iuzzh7pY6nd+OOBxcwO/R2go1Grnim41bnbS7N7mTz78P0Ntq/mxDCZb3//vsoilLu6Rh79+5l8ODBRERE4OXlRevWrZkxY0apj1MUxfrl4+ND8+bNGTZsGDt37iz32nv27ClTPUSlbdiwgcjIyDJte/r0aRRFYc+ePY5bkKpCytmSt0k5a7fSGMvPVK2kmBujXhsEkYM0IUpWniwQC2tfEHl9uSIJggjHObQcFg2F1PMk6PVs8/Tgo6AAPgz1Ik9R6JORzdd9viOwdT9nr7TqKApt7/2M75s+QmROLsnuJsbV92SVtxfbPT1I0OshNV77d5NAiBAluybLrKqyqP755x++/PJL2rVrV+7H7ty5k9DQUL7//nsOHjzI66+/zoQJE/jss89Kfex3331HfHw8Bw8eZObMmaSlpdGtWzfmzZtXkR9DCLsrGKyzfN18881EREQQHx9PmzZtAC2AoigKycnJlXq+OXPm5D+XTocS3halQUebr9Nnzuc/wJSr1ejXVsnXlsNYDtJipG+KECUpbxYISCaIi5MgiHAMkxFWjwdUlvr6EB1RnyfD6zEvUJv4MiI5hQ/SwaNhV+eu00kibp3A95cz6ZSZRZpOx/jQEEaE1yM6oj5Lfb21jVa/KqUxQhSniCyzqsiiSktL49FHH+Xrr78mKCio3I9/4oknmDFjBrfddhtNmzZlyJAhDB8+nKVLl5b62MDAQMLCwoiMjOSuu+5iyZIlPProo4wePZorV64AcOnSJQYPHkyDBg3w9vambdu2zJ8/37qPYcOG8eeffzJjxgzrwePp06cxGo2MGDGCJk2a4OXlRcuWLcuUoSLEtSzBOsvX8uXL0ev1hIWF4ebmZtfneuihh/Kf6+Qhundqx8hH7yd+92/Wr4j69azb5+TkgjG3hD3WYNlXIStZu27JBAlqDCiQcxXSLzprZUK4topkgYDthBjhciQIIhwjdos1A+TtkGBMBVJGFVXl4dQ0dGmJ2na1UewWAjKTeefCJe2Pq/nfx6QovB0STIJeB6nnau+/jxAlKZBlZqMKsqiee+457r33Xnr37m23faakpBAcHFyhx77wwgtcvXqVtWvXApCVlUWnTp1YuXIlBw4cYNSoUTz22GNs374dgBkzZtC9e3dGjhxpPXiMiIjAZDLRsGFDFi9ezKFDh5g4cSKvvfYaixYtstvPKWoHS7DO8hUcHGxTDnP69Gluv/12AIKCglAUhWHDhlXouby8vPKfq0FDDAZ3vD09CQsNISw0hFff+z8eGPky/5nxDfU73kXLW+8HvTuKorBs2bJC654zZ471+zNnzjBo0CACAwMJDg6mX79+nD59umL/KK7AkgXiGQCe/tp1N4/8gIgcqAlRtIpkgUCBTCsZk+uK7BuSF8IiLRGAOHc3mwAIgKoonHF3I8xotG5X65h/7nh3N2sAxMIk/z6iNlJVyM0ofTuTEX59BSjqA4UKKFoWWtOeoNOXvj9370KvweIsWLCAXbt28c8//5Rp+7LYsmULCxcuZOXKlRV6fKtWrQCsB2cNGjTgpZdest7//PPPs2bNGhYtWkTXrl0JCAjAYDDg7e1NWFiYdTu9Xs/bb79t/b5JkyZs3bqVRYsWMWjQoAqtTVSMqqpk5mVW+fN6uXlVSY+LiIgIfvzxRx544AGOHj2Kv78/Xl5eld+xwRcovP51m7bj7+vD2vlfgM7NvF3JcnNziY6Opnv37vz111+4ubnx7rvv0qdPH/bt24fBYKj8equapV9KQCPb24ObaL1CLp+CRt2qfl1CuLKKZoGAlmml6LXPNlfjwb++Y9YoKkSCIMIxfLX0U4Nqssl0ANCpKhG5eTbb1Trmn7tRbh46VbUNFKkq9Wv7v4+ofXIz4D17fEBQtQyR9yPKtvlr58HgU+pmZ86cYcyYMaxduxZPT89KrlFz4MAB+vXrx6RJk7jrrrsqtA/VfHbJcvBqNBp57733WLRoEefOnSMnJ4fs7Gy8vb1L3dfMmTOZPXs2cXFxZGZmkpOTQ4cOHSq0LlFxmXmZdPuh6g9Gtz2yDW/30n9PSjN48GD0+vwA5Pfff2/ze6TX662ZT6GhoQQGBlb6OQHtc4abR6Gbfby9+GbqRAwGdwhqUqag58KFCzGZTHzzzTfW19Z3331HYGAgGzZsqPDr1aksTVEDr/nbGNwUYv6UTBB7Mxm1bN60RO2zXOMeZQvMC9dS0SwQAL07BDbSJlNdOilBEBcjQRDhGI17kOwRytRgRfvAYQ6E6FSVSRcvE2Y0gX8D7U2hNmrcA/zrE5Yaz6SLl/NLhsz/Tj/7+vBkng+G2vrvI4SL2blzJ0lJSXTs2NF6m9FoZOPGjXz22WdkZ2fbHPiV5tChQ9xxxx2MGjWKN954o8LrOnz4MKBlbgB89NFHzJgxg+nTp9O2bVt8fHwYO3YsOTk5Je5nwYIFvPTSS3z88cd0794dPz8/PvroI7Zt21bhtYna6ZNPPrEpFwsPD+fChQsV2pevb37WxpAhQ5g1a1bJD9C5aeUeBbRt1QyDpzcENASvwDI97969ezlx4gR+fn42t2dlZXHyZDVtcnjteFwL65jcavpzuaJDy7WMxIIlm/71oc8HENXXeesS5VOZLBCLOtdpQZDLJ6HJLfZdn6gUCYIIh9hz7iofezRlr+d5/IwmPk9MJFfREZGbpwVAAPq8X3uj4jq99ma4aCgD0jLokZnFGXc3jru7MyUkmC+DAjh8sRfv56r4FD6xJUTN4+6tZWWUJnYL/O/B0rd7dEnZgqxlPPN9xx13sH//fpvbhg8fTqtWrRg/fny5AiAHDx6kV69ePP744/znP/8p8+OKMn36dPz9/a0HnZs3b6Zfv34MGTIEAJPJxLFjx4iKirI+xmAwYDTaNl3evHkzPXr04Nlnn7XeVm0P9qo5Lzcvtj1S9cEnLzc7lKQAYWFhNGvWzOa2igZBCo7U9ff3L9uD9LalKj6+flDvepsMEEVRrFlUFrm5+Q1T09LS6NSpE//73/8K7b5u3QocCLmClGsmw1hYgyCSCWIXlp5V15ZsWnpWDZongZDqwiYL5N8V20fwdcDvMiHGBUkQRNhdWnYeryyZTWLwOUDhzeQ0OmQX6Mbu30ALgNT2N4Govtqb4erxhKWeJ8xopEtWNgc8PPjFz4edgX/x+s/bmT5IskFELaAoZSpL4bpe2hm11HiK7guiaPdf18uuQVY/Pz/reE8LHx8f6tSpU+j2khw4cIBevXoRHR3NuHHjSEhIALQSgdIOrpKTk0lISCA7O5tjx47x5ZdfsmzZMubNm2ctKWjevDlLlixhy5YtBAUFMW3aNBITE22CIJGRkWzbto3Tp0/j6+tLcHAwzZs3Z968eaxZs4YmTZrw3//+l3/++ceaYSKqjqIodilLcWWWnhrXBuOudW0wpUxU0zXfq4VKYOrWrUt8fLz1++PHj5ORkd+TqGPHjixcuJDQ0NCyB19cXXGZIJYJFpdOFflvJcqhwGTEwiw9q16FVvfW3pOA1UXBLJAuI8A3tGL7kQkxLkumwwi7e33ZVjL95mBSFPrl6Ln72f3w+Ap44Fvtcux+CYBYRPWFsQds/n1ev/1jGuXmctU9j91Jk/ll7zlnr1II12HJogIKN0E0f+/ELLNhw4bRs2fPYu9fsmQJFy5c4Pvvvyc8PNz61aVLl1L3PXz4cMLDw2nVqhXPPPMMvr6+bN++nUceecS6zRtvvEHHjh2Jjo6mZ8+ehIWF0b9/f5v9vPTSS+j1eqKioqhbty5xcXE89dRTDBgwgIceeohu3bpx6dIlm6wQIeypcePGKIrCihUruHDhAmlpafbbuTUIYv57oBoLTWbo1asXn332Gbt372bHjh08/fTTuLu7W+9/9NFHCQkJoV+/fvz111/ExMSwYcMG/v3vf3P27Fn7rbUqFZcJEhSpXWanQOaVKl1SjWOejFg8VSb/VRcFs0BuKmcvkIIsE2IkE8TlSCaIsKuf95zj+IXXSfZTaZybx2v3ztNGsUkdXPF0ept/Hx/gg5i1PHZxI5f9zvH+2hnc0OgtGgbV7DODQpRZgSyqwjXXVZdltmHDhkK3xcTEWMd/FuWtt97irbfeKvdzXZu6X5zg4OBCoz+v1aJFC7Zu3Vro9u+++47vvvvO5rYpU6aUeY1ClFWDBg14++23efXVVxk+fDhDhw61GU9bKZYgiLtXfpw0L0v73uzjjz9m+PDh3HLLLdSvX58ZM2awc+dO6/3e3t5s3LiR8ePHM2DAAK5evUqDBg244447qmdmSF4OXNWyzgpNh3H30jJ0U89pZ6u9KzauW1D2iX4y+c+12SsLBGwzQUwm0En+gauQIIiwmzOXM/hy3TucCbmCm6ryYesReNe/wdnLqpba9JnO6Lm3MN0tg6w6vzJ6YRd+HPUgep2kqQoBaIGOVve6VPf9lJQUTp48WeFxt0JUd8UF6yIjIwvd9+abb/Lmm2/a9fk3bNgA6Re1rAedO3M+mwq56ZCbaRMEqV+/PmvWrLF5bHJyss33YWFhzJ07167rc5rUs4CqndX2CSl8f3DT/CBIw85Vvrwao6wT/WTyn2uzVxYIaOVnOncwZmuvw8BGpT9GVAkJRwm7yDOaeGXBQpKCNwHwb49Ionq86ORVVWNuBob3/4Ebs3LJ0UGy8hGf/nHY2asSwrVYsqjaPqhdOrnGOiAggLNnz9pMtBBCVDGTuQeZ3i0/8JGb6bz1uAJrP5CGRff8CDb3/pG+BZVjnvxXuFTTQqndkxGrA3tmgYD2d8hSciYlMS5FgiDCLmasO8hltxlk6xRuzFV4/P4fpLlWJenqXMd7XScQZDRyyTOTXw5MYmes1OsKIYQQxTLmaZc6dwmCWBTXD8TCMiFGDtIqx6Zn1bWc37NKlMBkhJi/4Pe3tCwQvWfls0AsrCUx8vpyJRIEEZW24/Rlth4ex3kPI8FGI1Pu+gKdZzWsmXVBdW94nHcCtJKiC0FHeGXpV6Rm5ZbyKCGEEMKxIiMjGTt2rLOXUViRmSAZhZqjVlZgYCCTJk2y6z4dprjJMBbBMsHCbiw9q7zr2N7uX1/G47qqQ8thehuYex9snq7dpneDuL/ts//gAhOYhMuQIIiolNSsXD5c+j5HA7WGW+82HUhIo5ucvKqa5bZ/fc3gHK19T4b//3h16UYnr0gIIURt57JBEGsmiJtW0w/ahBijfU8gBAYGVqjJsVOUNRNEgiD2EdUX7pma/31IC5mM6KoOLYdFQwtP9clJ124/tLzyz1HH8vqSTBBXIkEQUWGqqjJx8SrOB64C4BF9PW657S3nLqomMnjz4n1zaJGTS5qbyonkt/hxV5yzVyWEEEK4HksmiM5dm8Tg5ql9n1eLS2KSzZ8Zrp0MY2HpCZJ5Wcbk2kt2av71rFQpgXFFJqM2ZY6issTMt61+VduuMmRMrkuqkiDIzJkziYyMxNPTk27durF9+/Zit+3ZsyeKohT6uvfee63bDBs2rND9ffr0qYofRRTw485YzqS9TYpeoUUevDhgofQBcRCP8PZ8GDUST5OJeJ9kvtzwDnGXMpy9LCGEEHZQ1hHIogxM5kwQvXkAYjXuC2K334vSMkEMPuAbpl2/HGOf56ztMpPzr6clQF6205YiihG7pXAGiA1Vm5oUu6Vyz2PpCXLldH6mmnA6hwdBFi5cyLhx45g0aRK7du2iffv2REdHk5SUVOT2S5cuJT4+3vp14MAB9Ho9AwcOtNmuT58+NtvNnz/f0T+KKCD2Ujq/bPw3x7xz8TSZmNpzKoZr6x+FXV3XYxwve2pnay4Eb2XMgh/INZqcvCohhBAV5e7uDkBGhgS17cJkBNX8vqjT/m1t+oJUM5bfC8vvSYWYTJByTrteXE8QkJIYe7s2o6bEg23hFFfjy7ZdWmLlnse/Ieg9tCw1S0BSOJ2bo59g2rRpjBw5kuHDhwMwa9YsVq5cyezZs3n11VcLbR8cHGzz/YIFC/D29i4UBPHw8CAsLMxxCxfFyjWa+M8Pn7Av+BSgML5BNE2ui3b2smo+RWFg//+x+fub+cOgkGz4jI9/68Srd9/g7JUJIYSoAL1eT2BgoPXEkLe3N4pkVFZcXg7kqYAOsnO07FSTm3ZbRjp4Zzl7hWWiqioZGRkkJSURGBiIXl+JUoq0BO3gS9GDX3jx2wU3hbgtEgSxl6xk2+9TzuaXHQnnu3AM/ppWtm1961XuuXQ67f/+whGtL4j8HrgEhwZBcnJy2LlzJxMmTLDeptPp6N27N1u3bi3TPr799lsefvhhfHx8bG7fsGEDoaGhBAUF0atXL959913q1Ck6EyE7O5vs7Pw0tNTU1CK3E2Xzf6v+4rTXfPIUHXcogTzQe2rpDxJ2oXgFMPnOmRxc9zSJBvjr+Hhubzmfbk0lC0cIZ+rZsycdOnRg+vTpzl6KqGYsJ3SKy5AV5ZCXDWkXtKao6ae120wmSL2gXU/VgVJ92uEFBgZW/oSfZTKMf4P8EqGiWA7MJAhiHwXLYUAyAFyFMQ+2fAob3gdjNtro4uLKzhRtqk/jHpV/3uDrtCDIpVPQrPK7E5Xn0CDIxYsXMRqN1KtnG0GrV68eR44cKfXx27dv58CBA3z77bc2t/fp04cBAwbQpEkTTp48yWuvvcbdd9/N1q1bi4yWT5kyhbfffrtyP4wA4O+TF9l/+kXi/XWEGWHygwtQdNXnA0VNEBB5K+9H9mfEmeXEBcTz7rL3+f7p9wjwrkS6rBCiTIYNG8bcuXML3b5t2zZat25t/d4yOcMlp2cIl6IoCuHh4YSGhpKbKyPQK+Xketj8MtRrCwO/y7/9uzGQngD3fw0Nqkf2pLu7e+UyQCxK6wdiUUfG5NqVpRzGzUtrypty1rnrEZCwH35+DuL3at836w2t7oUV48wbFAyGmDPy+rxvn6a2MiHG5Ti8HKYyvv32W9q2bUvXrl1tbn/44Yet19u2bUu7du247rrr2LBhA3fccUeh/UyYMIFx48ZZv09NTSUiopQ3A1FIckYO/1s2mh0h2ehUlQ9vnIS/fwNnL6tW6tzrP4yYt4WvuURS4K+8suQmZj3WT9KohagCffr04bvvvrO5rW7duvY5YBG1ll6vl9+hyso4B2lnoGF78PTMvz0gBBL/gYv74LruzlufM1gnw5TyuVd6gtiXpRym3vVwbodkgjhTXjZsnAqbpmmNkz0DtOBG+8FayZx3iDYlpmDfFv/62jb2GmssE2JcjkODICEhIej1ehITbRvKJCYmlprel56ezoIFC5g8eXKpz9O0aVNCQkI4ceJEkUEQDw8PPDw8yrd4oTUYi90CaYmovqF8/Pse/gneD+h4sk43bogaWOouhIMoCs8OWMj2Bb3Ya9ARl/EuC//pwMNdI529MiFqvKJ6UhUsh+nZsyexsbG88MILvPDCC4BM/xCiSqSZy1586treHt4Ojv0K8fuqfk3OVtZMkCBzOUz6BW2kq6e/Y9dV01kyQcLamIMgkgniFGd3atkfFw5r37e6D+79GPwKvIdH9dUyQszHPPjW00pg7DnW2JppJUEQV+HQIIjBYKBTp06sW7eO/v37A2AymVi3bh2jR48u8bGLFy8mOzubIUOGlPo8Z8+e5dKlS4SHl9DwSZTPoeU2UdE84ER4GOk6A+3w5pl7Zjl3fQI3v3p8cMt7DNzyGme9slm4eRy3Gp6mvj7VMX/AhXBBCekJxKXG0ci/EWE+rtEse+nSpbRv355Ro0YxcuRIZy9HiNrDMsXh2kaGYW21y4RaGASx9AQpLRPE018LHqVfgCsxEN7e8WuryTJTtEvL716yZII4RIETtjaffXMyYMN7sHWmNjHKOwTunQpR/bXsj2vp9NDkFset05IJciUWjLmglxJ2Z3N4Ocy4ceN4/PHH6dy5M127dmX69Omkp6dbp8UMHTqUBg0aMGXKFJvHffvtt/Tv379Qs9O0tDTefvttHnjgAcLCwjh58iSvvPIKzZo1IzpaJpTYxaHlsGgoBWvjPg8K4ICnAT+jialtn8BNXrwuoUGrfrxx4lfGX9rMyaBjnFs9hPpZ5ibA/vWhzwf2S+UTwoFUVSUzL7Ncj1l+cjlTtk3BhAkdOiZ0m0Df68r3++7l5lXuMrIVK1bg6+tr/f7uu++2uT84OBi9Xo+fn59MMROiKqWbM0F8r8kEsRyIXjiiTZBxM1TtupyprJkgoJXEpF/QUvYlCFJxJiNkW4Ig7bTLlLOgqkUfgIuKueaELaB99u00HPbOzy/tajtIK23xceIQAb9wcPfWRnVfiYUQ6Y7qbA4Pgjz00ENcuHCBiRMnkpCQQIcOHVi9erW1WWpcXBy6axprHj16lE2bNvHbb78V2p9er2ffvn3MnTuX5ORk6tevz1133cU777wjJS/2YDJqf1DMAZAEvZ41Pl58E6ClRU66eInwv2ZApycly8BF3NOkD1tPr2GZny+v1K3DxItXaJ2TQ1hqvBbMGjRPAiHC5WXmZdLth24VfrwJE//Z9h/+s+0/5Xrctke24e3uXa7H3H777XzxxRfW7318fBg8eHC59iGEcIDiMkECG4OHP2SnwsVjWolCbaCqBTJBGpW+fXBTOLNN+oJUVlZK/vXQKO0yLxMyLjv3QLwmKeKELaAFRNabPwf4hcN906Fln6peXWE6nfb6SjyglcRIEMTpqqQx6ujRo4stf9mwYUOh21q2bFls/bSXlxdr1qyx5/JEQbFbrBHVpb4+vB0SjMkcte6YlUV0RiZwTtvOkWljomxMRlgzgQlXr/CXlycX3dz4d1hddKrKpIuXGZCWAatf1WodJWglhF34+PjQrJl8gBHC5aSZxwz7hNrerihaNkjsZq0kprYEQTKvQG66dj2gYenbW5ujxjhuTbWBpR+IwRc8fLWgXFqilpUjQZDKu+aEbZHcveHpza71720JgkhzVJfg0tNhhBOYz6Ik6PU2ARCAPR4eJOj1hBmN+WdbhHOZg1apej2XC0wVMCkKb4cE0yMzi7BUCVoJ1+fl5sW2R7aVefvEjET6L+uPCZP1Np2iY1m/ZdTzrlfCIws/ryMYDAaMRqND9i2EKIKq5gdBfEML3x/WzhwE2V+163Imy2QYn1Bw9yx5W5AJMfZimQzjGahdBjQ0B0HOQv0OTlpUDVLghG2xcjMg6ZBrffaV5qguRVf6JqJWMaeQxrm72QRAQDuwPuPuZrOdcDJzMCrO3Q21pP8vCVoJF6coCt7u3mX+ahLQhEk9JqFTtLcxnaJjUvdJNAloUq79OGqsdGRkJBs3buTcuXNcvHjRIc8hhCggJ00rOYBigiCW5qi1KAhSnn4gIEEQe7FkgngFapeWLBwZk2sfZf1M62qffWVMrkuRTBBhq3EP8K9PRHpSoQZOOlUlItcI/g207YTzmYNRjXLz0KmqTeBKUVUicvNsthOiJhnQfAA96vfgzNUzRPhFuMx0GIDJkyfz1FNPcd1115GdnS0jcoVwNEsWiLsPGHwK319wQkxtaVBZ1skwFsHmMblpCZCTXvS/oyhdZrJ26RWkXVr+/WVMrn2U9TOtq332lUwQlyJBEGFLp4c+H3Dil5HaBwTzBwWtx8QVrRSmz/vSX8JVmINWYanxTLp42aaEyUNV8VJNErQSNVqYT1iVBj/mzJlT5O3X9re68cYb2bt3r+MXJITQlFQKA1C3FejctaaVyXEQ1Ljq1uYs5c0E8QoCr2DIvKz1BaktvVPszVoOE6BdWoMgkgliF+bPvqTGU3RfEEW739U++1oyQVLOQl42uMlAD2eSchhRyN+5kUwN1qLXA1PTmB2fyJoz5xmgC5BJI67GHLQCGJCWwZoz5/k6PpHInByydDq+Cgwg447/SNBKCCFEzWadDFNMEMTNAKGttOu1pSTG0hOkLJNhLKwlMXK2usKKLYeRTBC7KPDZtzBzhpcrnrD1DdWa5aomuHLa2aup9SQIImyYTCpr14/jlMEdP5PCmD6z6HLv54QN+RnG7pcAiCuK6qsFp/zDCTMauTErm1cvJwMw39+PT2Ik4UsIIUQNl35BuywuCAJac1SoPUGQ8maCgPQFsYdC5TASBLG7qL5wx6TCt/vXd90TtoqS//qSviBOJ0dHwsaaP1bwh995QM/wpoMIaOECs7VF6aL6amNwY7dAWiI3+YTS9Y/n2e5uYs/Z9zmf3Jv6gY6ZgiGEEEI4XXHjcQuqbc1Ry9sTBAr0LZAgSIVZgiCW6TCB5kyctETIzSrbpB5ROp35XH5EN+g6SusB0riH62WAFFTnOq0vkWRaOZ1kggirrJw8thycxEU3PWEmA8NuHu/sJYny0Om1UWBtH4Smt/JK11dQVJUjfql8vPw7Z69OCCGEcBxrOUwJzRALNket6XLStd4eUMFMkBj7r6m2sPQEsZTDeAWBu7d2PfWcM1ZUM8Vu0S5b/0v77NvkFtcOgIBMiHEhEgQRVj//9Clr/LMBeKHzi7jr3Z28IlEZLds9yj2qPwDHMr7h4LkUJ69ICCGEcBBrOUzd4rexBEFSzkDGZcevyZksWSAeAfkNOstCymEq79pyGEWRkhh7Mxkhdqt23dUaoJZEJsS4DAmCCAAup1xle9I3ZOp0tCSQu9sMdvaShB280OtDPE0mTnvl8umK9529HCFsyNjY6k3+/4RLKUsmiGcABJqnwiQecPyanMnSD8Ry8F1WliBI6jnIzbTvmmoLS2NUSzkMSBDE3pIOQXaKNhI7rL2zV1N21kwQCTI6mwRBBAA/L57AWj/t1+H1Oz5EMY9ZFdVbvcY384hB+8B3UreCdYclDVM4n7u7lmWWkZHh5JWIyrD8/1n+P4VwqjRzJkhJPUGg9vQFsUyGKU8pDGjZC5bMESmJqRhrOUxQ/m0SBLEvSxZIo26gr0YtLi2ZIKlnJcjoZNXot0Y4StyZODbnrkV1N9DD4zpuaNjd2UsSdvTUPTP5+ad7STTomff7a/RsOQe9ToJcwnn0ej2BgYEkJWmNDL29vSXwWo2oqkpGRgZJSUkEBgai17t4Dbao+VS19BG5FmHt4MiKmh8ESalAU1TIn2BxfrdWElMvyv5rq+ms5TCB+bdZxhSnxFX1amqm2M3aZXUqhQHwrqOVqGWnaEFGeX05jQRBBCt//jfb/Ay4qfDG3Z86eznCzryDmvBUcDfeS9nBcZ+dzP97H0N6VKPUQVEjhYWFAVgDIaL6CQwMtP4/CuFU2alg1HqalRoECTePyY2v4c1RkyswHteiYBBElE9eDuSma9elHMYxVDW/KWrjm5y7lvJSFKhjfn1dOiFBECeSIEgtt3/P36w1HAYM3BdyKxGWSLWoUQZGf8KC/93EKXcdq3a+xgOdl+NlkLO3wnkURSE8PJzQ0FByc3OdvRxRTu7u7pIBIlyHZTyuhz+4lzIO3lIOc/FozR5XWtFMEMjvWyBBkPKzlMKg2DaklSCI/Vw6CelJoPeA+h2dvZryq9PMHGSU5qjOJD1BajFVVVm3YRzHPQz4mHS8dOd7zl6ScBA3r0BeaDoAgCN+sXy+dq2TVySERq/X4+npKV/V7MtZAZCZM2cSGRmJp6cn3bp1Y/v27SVuv3jxYlq1aoWnpydt27Zl1apVNverqsrEiRMJDw/Hy8uL3r17c/z4cZttjh07Rr9+/QgJCcHf35+bb76Z9evX2/1nE5VgCYL4lDAZxsK/gdarwZQHF444dl3OZM0EqcDJLZkQU3HWpqj+tuNaCwZBpKl05VhKYRp2rp5BTBmT6xIkCFKLbVn7P5b7aX+shzYfQoBHOUaoiWrntlsn0jlHIVdR+Pv0f7iYlu3sJQkhRJktXLiQcePGMWnSJHbt2kX79u2Jjo4utqRqy5YtDB48mBEjRrB792769+9P//79OXAgfyrIhx9+yKeffsqsWbPYtm0bPj4+REdHk5WVZd3mvvvuIy8vjz/++IOdO3fSvn177rvvPhISEhz+M4syKstkGAtFqfnNUY25cDVeu16hTBBLEEQao5abpR9IwVIY0IJvKJCXBRmXqnhRNYy1FKaa9QOxqCOZVq5AgiC1VG5uDhsPv88FNzfqmjx5svsYZy9JOJji5s7LncaiqCpHfJOZ+st/nb0kIYQos2nTpjFy5EiGDx9OVFQUs2bNwtvbm9mzZxe5/YwZM+jTpw8vv/wyrVu35p133qFjx4589tlngJYFMn36dN544w369etHu3btmDdvHufPn2fZsmUAXLx4kePHj/Pqq6/Srl07mjdvzvvvv09GRoZNMEU4Wbp5MoxvGTJBQGuOCpBQQ/uCpJ4DVK1coCzZMdeyBEFSzkCenDApl6ImwwC4GcDP3EMpWZqjVkp1D4JIJohLkCBILbXux/f4yV9LxxvTdTwGvcHJKxJVIeqG4fQx+gBwMOULTiRddfKKhBCidDk5OezcuZPevXtbb9PpdPTu3ZutW7cW+ZitW7fabA8QHR1t3T4mJoaEhASbbQICAujWrZt1mzp16tCyZUvmzZtHeno6eXl5fPnll4SGhtKpUyd7/5iioiyZIKWNx7WwBkFqaCaIpRQmoCHoKvBR3ycEDH6ACldO23NlNZ+lHKbgZBgL6QtSeclx2oQdRQ8Nuzp7NRVTxxxkTEuA7DTnrqUWkyBILZSafJGNF34gU6ejqRJC36gHnL0kUVUUhXG93sfTZOK0Vw7Tln/k7BUJIUSpLl68iNFopF4923KHevXqFVuWkpCQUOL2lsuStlEUhd9//53du3fj5+eHp6cn06ZNY/Xq1QQFXXOm1yw7O5vU1FSbL+Fglp4gZSmHgQLlMAfAZHLMmpwppRKTYcA8JreJdl1S9svHOh63iL8PEgSpvFhz0Lt+B/DwdepSKswrCLyCtevy+nIaCYLUQr8vepGVflrmx5u9P0RRFCevSFSlsCa385Cb9kZ8TF3GlhOJTl6REEK4JlVVee655wgNDeWvv/5i+/bt9O/fn3/961/Ex8cX+ZgpU6YQEBBg/YqIqOCBqCi78pbDhDTXSkVyrkLyaYcty2mSKzEZxkKao1aMpRzm2p4gIEEQe7A0Ra2upTAW1r4gUhLjLBIEqWWSYg/zm3ELJkWhi2drOtfv4uwlCSd45u7/I9hoJNGg8tVvr6FKp3IhhAsLCQlBr9eTmGgbtE1MTCQsLKzIx4SFhZW4veWypG3++OMPVqxYwYIFC7jpppvo2LEjn3/+OV5eXsydO7fI550wYQIpKSnWrzNnzpT/BxblU57GqAB6d6gXpV2Pr4F9QVLMPScqMhnGQpo3VkyJ5TDmoFSK9ASpMGs/kJucu47Kkr4gTidBkFpm7c/Ps9nbE70Kk6I/dPZyhJP4hLRgZIA2W/2Y5zaW7qrBYwKFENWewWCgU6dOrFu3znqbyWRi3bp1dO/evcjHdO/e3WZ7gLVr11q3b9KkCWFhYTbbpKamsm3bNus2GRkZgNZ/pCCdToepmDIKDw8P/P39bb6Eg6WZM0HK2hMEavaEGMkEcZ4Sy2EsQRDJBKmQtCS4dBxQoNGNzl5N5UiQ0ekkCFKLnPznV5Z6am+MfUJ70zgw0rkLEk718N2fEplr5Kpe4cet48nJq4F10UKIGmPcuHF8/fXXzJ07l8OHD/PMM8+Qnp7O8OHDARg6dCgTJkywbj9mzBhWr17Nxx9/zJEjR3jrrbfYsWMHo0ePBrR+H2PHjuXdd99l+fLl7N+/n6FDh1K/fn369+8PaIGUoKAgHn/8cfbu3cuxY8d4+eWXiYmJ4d57763yfwNRBFWFdEtPkPIEQWpwc9TK9gQBCYJUlCUTRMph7M+SBVLv+qKDTNWJ5fUlmSBOI0GQ2sJkYv2mCRzzMOBl0vNqr0nOXpFwMjfvYMY27gvAEZ9TfLVhg3MXJIQQJXjooYeYOnUqEydOpEOHDuzZs4fVq1dbG5vGxcXZ9Ono0aMHP/zwA1999RXt27dnyZIlLFu2jDZt2li3eeWVV3j++ecZNWoUXbp0IS0tjdWrV+Pp6QloZTirV68mLS2NXr160blzZzZt2sTPP/9M+/btq/YfQBQtKxmMOdr18oyDramZICZT/kG2PTJBkuMgL6fy66otrCNyAwvfZwmCpF+A3MyqWlHNUd1H4xYkPUGczs3ZCxBVY9+az5nvnw248WiLYQQWFaEWtU6v2yfT6buV7DQobDj6No/ddAsBXu7OXpYQQhRp9OjR1kyOa20oIpA7cOBABg4cWOz+FEVh8uTJTJ48udhtOnfuzJo1a8q9VlFFLJNhPAPA3bPsj6t3PaDA1fOQflEbC1sTpCdpQSFFB/71K74f33rg7g25GVogJKSZ/dZYk5VUDuMVBO4+kJsOqefzD4RF2dSkIIilJ0j6BchKBU8pm6xqkglSCxiz0lh39FOS3NwIVr145sZnnb0k4SIUNwMvdxiNoqoc9b3MtJXznb0kIYQQouwsQZDy9AMB8PDLz3ZIqEHNUS39QPzqaw1gK0pRpCSmIkoqh1GU/GyQZGmOWi6ZVyDxgHa9UQ0Ignj652euSTaIU0gQpBb4e8kbzA/Q3gj/3XUCBr3BySsSruT6zqOIzvMCYNfFTzlzOd3JKxJCCCHKqLyTYQqqiSUx1skwdhjNHNxEu5QgSNmoaoFymGJ6VgRKc9QKidsGqFCnGfhV4LXuimRCjFNJEKSmMhkh5i9ytsxi7ZXlZOp0NNLVY0Dr/s5emXA1isK4nu/iYTJx2iubj375xNkrEkIIIcom3TwZxrcc/UAsamIQxB6TYSyCZYJFueRm5venKaonCEhz1IqK3axdNip6Gli1VEeCIM5UJUGQmTNnEhkZiaenJ926dWP79u3FbjtnzhwURbH5sjQos1BVlYkTJxIeHo6Xlxe9e/fm+PHjjv4xqo9Dy2F6G5h7H2fWv85Pft4ATLzuPhRFcfLihCsKbxbNIF04AIdyFnF82wrYvwRi/tICakIIIYQrqlQmiHlCTHwNKoexx2QYCymHKR9LKYyiB4Nv0dtIEKRirP1AbnLuOuxJmqM6lcODIAsXLmTcuHFMmjSJXbt20b59e6Kjo0lKSir2Mf7+/sTHx1u/YmNjbe7/8MMP+fTTT5k1axbbtm3Dx8eH6OhosrKyHP3juL5Dy2HRUK3hEjAtOAiTonBHegbdfntLu1+IIjx796cEGY0kGlR2bnoKfhwBc+/TAmryeyOEEMIVpZkzQcozGcYi3BwEuXQccjLstyZnsmsmiARByqVgKUxxJx0t/y+WYJUoXXYaxO/RrteEpqgWUg7jVA4PgkybNo2RI0cyfPhwoqKimDVrFt7e3syePbvYxyiKQlhYmPXLMv4OtCyQ6dOn88Ybb9CvXz/atWvHvHnzOH/+PMuWLXP0j+PaTEZYPR5QAVjl7cVGby/0qsoLl5O1bVa/Kmf2RZF8L57g2SspAHwWFMAGL08S9HpIjdcCaxIIEUII4WoqkwniW08LnqgmSDps33U5iyMyQZJjwZhX+f3VdJZMkOJKYUCCIBVx9h8w5YF/Qwhs5OzV2I9kgjiVQ4MgOTk57Ny5k969e+c/oU5H79692bp1a7GPS0tLo3HjxkRERNCvXz8OHjxovS8mJoaEhASbfQYEBNCtW7di95mdnU1qaqrNV40Uu8WaAbLE14fxodq4NyOw09MDUCH1XH5KmRAW5gDaA1fTCMnLI0Wv5/mwUKIj6rPUVyunkgCaEEIIl5Nuziz2Led0GNDO1lv7gtSAkhhVLZAJYoeDRb9wcPPUDkBTZJpJqSzjcYuaDGNhLYc5ByaTo1dUMxQcjVuTyvotQcbMK5Bx2blrqYUcGgS5ePEiRqPRJpMDoF69eiQkJBT5mJYtWzJ79mx+/vlnvv/+e0wmEz169ODsWa12zvK48uxzypQpBAQEWL8iIuwQHXdF5rMhCXo9k0OC8/9QKApvhwRrZ/ULbCeElTmAdkmv55Ll9wQwWX93dBJAE0II4XoqUw4DNas5alYy5FzVrlsOtitDp4MgmRBTZqVNhgHwrw8oYMyGjItVsarqr2AQpCYx+GiBRpDXlxO43HSY7t27M3ToUDp06MBtt93G0qVLqVu3Ll9++WWF9zlhwgRSUlKsX2fO1NAUNHMq6Gl3N9RrIqUmReGMu5vNdkJYmQNjcaX97kgATQghhKswmQpkglTws42lOWpNyASxZIF4h4DB2z77tKbsx9hnfzVZWcph9O75B75SElO6vGytHAZqVlNUC+kL4jQODYKEhISg1+tJTLQ9cEpMTCQsLKxM+3B3d+eGG27gxIkTANbHlWefHh4e+Pv723zVSI17gH994tzcCt2lU1Uico3g36DmRVJF5Zk/PDbKzUOnqjZ3ab87eTbbCSGEEE6XlayVakAlMkHMQZDEg9W/5NOe/UAsgiUTpMzKUg4DMiGmPM7t0rJmvEMgpLmzV2N/dSzNhyUIUtUcGgQxGAx06tSJdevWWW8zmUysW7eO7t3LNufZaDSyf/9+wsO1qGmTJk0ICwuz2Wdqairbtm0r8z5rLJ2eq1GD+dFfG8ulmA9mdarKpItXCDMaoc/7oNOXtBdRG5kDaGFGE5MuXrYJhNySkUk9o0kCaEIIIVyLJTvRKwjcDBXbR53rwM0LcjOq/4G+PSfDWMiEmLIrSzkM5AepkiUTpFRxNbQfiIVkgjiNw8thxo0bx9dff83cuXM5fPgwzzzzDOnp6QwfPhyAoUOHMmHCBOv2kydP5rfffuPUqVPs2rWLIUOGEBsby5NPPglok2PGjh3Lu+++y/Lly9m/fz9Dhw6lfv369O/f39E/jstbe3wthzw88DSpLD6XwOz4RNacOc8AXQAMmgdRfZ29ROGKdHro8wEAA9IyWHPmPM+ZJwrt8vQkTVEkgCaEEMK1pJlLYXwq0BTVQqeHetdr16t7SYw1E8SOEzQsQRA5SCtdWcphQDJBysPaD6QGlsKATIhxosJ1E3b20EMPceHCBSZOnEhCQgIdOnRg9erV1samcXFx6HT5sZgrV64wcuRIEhISCAoKolOnTmzZsoWoqCjrNq+88grp6emMGjWK5ORkbr75ZlavXo2np6ejfxyXlnbyb35xTwA86RESTcue/bWzJL71tAiqHMCKkkT11QJlq8cTlnqeUSmprPL1IcbgzpSQzrwnATQhhBCuJK0Sk2EKCm8H53ZA/D5o80Dl1+UsyeYJLo7IBLlyWisXks+SxbOUw5SWCSJjcsvGmAdx27TrNTUT2ZoJckqb7lQTs11clMODIACjR49m9OjRRd63YcMGm+8/+eQTPvnkkxL3pygKkydPZvLkyfZaYo3w55o32eHjiV6FV29/GXzL1ndFCKuovtDqXojdgi4tkUcPLOLdnMP85RnPrtPn6RhZ39krFEIIITSVGY9bUE2ZEOOIniD+DUBvAGOOlrkQ1Nh++65pLOUw0hPEPhL3a9OOPALys7VqGkvPnewUyLgEPiHOXU8t4nLTYUTFZJ3dxypF69zdxf8mwiUAIipKp4cmt0DbBxlw/9eE5ZlIdlOYt/YNZ69MCCGEyGfpCVLZpt3WCTHVPAjiiJ4gOj0ERWrXpS9IyaQcxr4spTCNbqy5GUjuXuBv/n2QkrMqJUGQGmLzyjfZ6O2FosKEXq86ezmihnD3DGBQYFcA9inbOZ5w2ckrEkIIIczSLmiXFZ0MYxEaBYpOyyy5Wk1HwedkQMZF7bo9M0EgP2VfgiAlK285TMZF7f9NFC22QFPUmkwmxDiFBEFqgNyk4/yadwCAdl430DQw0rkLEjXKY9EfEmw0ccFd4dtfJzp7OUIIIYTGXpkgBm+oYx6/WV2bo1qyCgx+pZdjlJdMiCmdyVT2chjPAO3/CSD1nCNXVX2ZTDW/KaqFTIhxCgmC1ADbVkziNx8vAMbfPqGUrYUoH0/futzvrdVL78n7k/NX0p28IiGEEAL79QSBAn1BqmsQxNwUNTDC/s0VLX0LLsfYd781Sc5VUE3a9dLKYRSlQEmMNEct0sWjkHkZ3L0hvL2zV+NYlgkxl044dx21jARBqjnTlTOsyfgbVVFo6daStqGtnb0kUQM9efdH+BlNnDPA1yvedvZyhBBCCPtNh4Hq3xzVEf1ALIIlXb9UllIYN0+tz0NppC9IyWI3a5cNu4CbwblrcbRgGZPrDBIEqeZ2rXibFb7eALx4m2SBCMfwDYjgXoOWKrwzczWXr2Y5eUVCCCFqNZMR0s09MHxcNwiiqir/JPzDdwe+4+jlo3bdtw1HTIaxsAZBYrQyBVGYpSlqWUuRJAhSsjKWwlzMvMgPh39g1alV5BhzqmBhDlCnmXZpGZMrqkSVjMgVjqGmJfHblT/IC/ChsS6C7g07OXtJogZ75u6PWLb8fmI84OsVHzB+8CRnL0kIIURtlXEZVCOg2GespGVCzKWTkJ0GHr6VW15uBitOrWD+kfmcSNbS3KftnEanep14pNUj3N7odtx17pVddT5HZoIERIDODYzZcPV8/gG8yGfpB1JaU1QLS7AqWcphClHVEpuiqqrKvov7mH9kPmtOryHPlAdA8D/BPNjiQQa2GEiYTzWakhkUqTVmzk3X+hz5VaO1V2MSBKnGDq56j5/8tJS70d3HO3k1oqYLrtOcO/UR/KKeZUfKUtKzXsPH044f4IQQQoiysvQD8Q4GvR3ei3zrgl84XI2HxIPQqFuFdnMm9Qzzj85n2fFlXM29CoCXmxftQtqxI3EHOxN3sjNxJ6HeoQxqMYgHWzxIHa86lV+/JRPEEQEKvRsENtbS9S+fkiBIUayTYQLLtr0lWCU9QQq7EqO9DnXu0LCz9eZsYzarY1Yz/8h8Dl46aL29TZ02JGUmkZSRxFf7vuLb/d/Sq1EvHmn1CJ3qdUKxd48ce3MzaL8PybFaEFaCIFVCgiDVVeYVfov/haxAb8KoS/R1tzp7RaIWGH3nFH5dM4QjXia+W/Upowe86OwlCSGEqI0s/UDsUQpjEdZWO/hK2FeuIIhJNbH53GbmH5nPpnObUNFS2iP8IhjcajD9mvXD3+BPYnoii48tZvGxxSRlJPHZns/4ct+XREdG80irR2hbt23F127JKAhsVPF9lKTOdflBkCbymbMQKYexH0sWSINO4O5FfFo8i44t4sdjP3IlW/t3NugM9GnSh0daPcL1IdeTZ8pj/Zn1/HD4B3Yk7mBt7FrWxq6lRVALBrcazD1N7sHb3duJP1Qp6lynBUEun4TIGj4Nx0VIEKSaOvHbNJb4eQLwZOdxrh/lFDVC/fAO9FTr8buSxNbE7xmZNxYPN72zlyWEEKK2sWdTVIuwtnD8tzL3Bbmac5VlJ5ax4MgC4q7GWW+/ucHNPNLqEW5qcBM6Jb/9Xj2feoy+YTSj2o3it9jfmH94Pvsu7mPFqRWsOLWCNnXaMLj1YKIjo/HQe5R93cZcrUwFHFMOAzImtzTlLYexBEFSz2l9VnTSptEqdgsq8E9YM+avf4E/zvyByTx5J8wnjIdaPsSA5gMI9gy2PsRN58adje/kzsZ3cuzKMeYfmc/KUys5duUYb299m2k7p3F/s/t5uOXDRPg76DVSGcHXwck/ZExuFZIgSHWUncZvMfO5GuRFHTWAgVH3OHtFohZ5ttc7/LF+FPu885i/+luG3TfK2UsSQghR29hzPK5FGcfkHr9ynAVHFvDLqV/IzMsEwM/dj37N+jG41WAa+ZecjWHQG7iv6X3c1/Q+Dlw8wPwj8/k15lcOXDrA65te5+MdH/NA8wcY1HJQ2XobpJ7XxrPqDeBbr0w/arlZgiBykFY0SyZIWcth/MK1PhDGHO13WUogAHMvnfhNzG8QxomLG623dw3ryiOtHuG2iNtw05V8+NoiqAWTuk9ibMex/HziZxYcXcCZq2eYd2ge/z30X25peAuDWw2mR/0eNkFKp6ojE2KqmgRBqqFzG2ay0F8bF/Vo29Gu8wIWtULzxj3obgpisz6ZjXFf8ZhpJHqdZCIJIYSoQmmJ2qU9D/otzVETD4ExT+uFYZZnymPDmQ3MPzKf7Qnbrbc3C2zG4FaDua/pfRVKt28T0ob/3PwfXuz8IkuPL2Xh0YUkpCfw9f6vmX1gNr0a9WJwq8F0rte5+KxfS18J/waOyygoOCFGFGbpCVLWchi9O/jVh9SzWklMLQ+CxKbGsuDIAn4+/hNXvVXAgJebF32v68vDLR+mWVCzcu8zwCOAodcPZUjUEDad22QtV9t4diMbz26ksX9jHm75MP2a9cPP4Gf/H6o8LGNyL9k508pk1MqL0hK1v5WNe4BOMrhBgiDVT142aw5/y+UgDwJM3gy74QFnr0jUQs/c/Aabt77ETu8sflq/gAfvGOzsJQkhhKhN0i5olz517bfPoCZg8IWcNLh0HEJbcyXrCj8e/9EanADQKTp6RfTikdaPlBycKIdgz2CebPskw64fZhNssfQ2KDHYkuzA8bjWBRYoh1FVkDJsW+UthwGtJCb1rBbEKtAAtLYwqSab4IRFo9xcBuNP38G/42/wr/Tz6BQdtza8lVsb3moNtiw7sYzY1Fg++OcDPt39KX2v68vgVoO5LvC6Sj9fhVgzQU7Zrzzq0HJYPV7LFLPwrw99PoCovpXffzUnKQTVzIXN37LAT4vg3d9ypH3HqwlRRu1bRNMxzxeTovD7kRmoMtdcCCFEVXJEJohOB/XaaNcT9vPLyV/ovbg3M3bNICE9gSCPIEa2HcnqAav55PZP6BLWxe492dx0bvRu3Jtvo79lad+lDGoxCC83L04kn+Cdv9/hziV3sjNxp+2DrJNhHNQUFbSGq4oe8jLhaoLjnqe6Km85DNTq5qiXsy4z6JdBPLfuOTad24SCwq0Nb+ULvw78cjaeIQ3vsEsA5FqN/Rszvut41g1cx5s3vkmzwGZk5mWy8OhC+v/cn7e3vu2cz7Q2r6/4yu/v0HJYNNQ2AAKQGq/dfmh55Z+jmpMgSHVizGPt7s+Id3PD22RgdLfHnL0iUYuN6vISANt80lizZaWTVyOEEKJWSTdngvjaMRMErH1B9sRtYNKWSeSYcoiqE8V/bv4Paweu5d8d/024b7h9n7MYzYOa82b3N/l94O+80uUVIvwiSM1JZdyGccSnFThQSjY3ZXVkJojePX/yjDRHLcw6IrecmSBQ64IguaZcXv7zZY5eOYqfux9Do4ay4v4VzLxjJjfHH9MOThv3cOgavN29GdRyEEv7LuXbu76ld6Pe6BQdS44t4buD3zn0uYukd4egxtr1yvYFMRm1DBCKCuaYb1v9qrZdLSZBkGokeccPzPfRuiPf3XhI+TqHC2FnN7V7gOtzPclTFH7d876zlyOEEKI2cUQmCEB4O5L0esZd2kKuKZc7G9/JgnsX0Pe6vk773OVv8OexqMf4se+PtA5uzeWsy4xZP8balDU/E8TBUy9kQkzxLOUwZe0JAvlBK0s5Uy3x8Y6P2Z6wHW83b/57z395ucvLWjPh9Itw4Yi2UaPuVbIWRVHoGt6VT27/hNe7vQ7A9J3Tbcpzqoy1L0glgyCxWwpngNhQtalEllHEtZQEQaoLk4l1Wz/mtMEdD5MbL9080tkrEoLH2z8LwBbvK2zZud7JqxFCCFErmIyQcUm77mPH6TBATmgrXggN4QJGmgU2492b3rV7yUtFebl5MeP2GQR7BnP48uH81H1LJoEjM0FAgiAlsWaCBJb9MZagVUrtCYIsO7GM/x3+HwBTbpli24Mjbqt2WbcV+IRU+doGtRzEgy0eREXllY2vEJsaW7ULsNeEGEuA2F7b1VASBKkmMvb9zELvLABuCxuAr8HXySsSAvp0HkbTXHeydDqWbXvb2csRQghRG6Rf1EbCKjq7Hiypqsq7MT+zz9MDf6ORT7u8VqGJL44U7hvO1Numolf0rDy1knmH5uUHQaosE0TGeNow5kF2qnZdymGKtf/Cft7Z+g4Az7Z/ll6NetluYMlMcHApTEkmdJ1Ah7oduJpzlTF/jCE9N73qntxeE2LKmh3nqHHa1YQEQaoDVWX9xv9w2MOAu0nH6z1HO3tFQgBaGuGjLYcB8JfnBfYf+se5CxJCCFHzpSdpl9517DruceHRhfx0ajk6FT66cImIq5fstm976hLWhVe6vALAtB3T2OqmAoo2IteRJBOkaFkp+dc9A8r+OEsQJPMy5FThwbYTXMy8yNgNY8kx5XB7xO081f6pwhvFbtYuG99UtYsrwKA3MK3nNEK9QjmZcpLX/noNk2qqmievY359XTpRuf2EtNACxMUy/61wYrDJFUgQpBrIObqWxQbtD2zX4D4ElyfKLISDPXjzaBrk6UnT61j05+vOXo4QQoiazgH9QHYk7OCD7R8A8IJnY3pkZkHCPrvt394GtxpM/2b9MWHi5dAQzgSEg5vBsU9qDYLEaGNyhcbSD8TgqzW4LCvPAPAwT0BJOWf3ZbmKXGMu4zaMIykjiaYBTXnv5vfQXXuQnpUCCfu161XUD6Q4db3r8sntn+Cuc+ePM3/w5b4vq+aJLZkgV2Iq3rTUZISfntIy5QC4tpTP/H2f9+0aQK6OJAhSDWz8/R12enmiVxXe7DXW2csRwoZO0TGw8SAANhrOcvLUQSevSAghRI2WZp4M42OfyTDxafG8+OeL5Kl53N3kbh6PiNbucOEgiKIovHHjG7T1aUCKXs+YIE8ycjMc+6RBjbUzzDlp+dN5RMUmw1hY+4LE2W05rmbK9insTtqNn7sfM26fUXRJ/5nt2oF7UCQEODijqQza1W3Hmze+CcDnez5nfVwV9L0LbAQ6dzDmVLxEasP7cGo9uHtD9BTwv2aSlX99GDQPovpWfr3VnARBXFxezGaW6rUxaO18b6aBX9WMZROiPIb2epm6eQqX3fTMX/uqs5cjhBCiJrOUw9ghEyQrL4sx68dwOesyrYNb83aPt1HC22l3Ws5MuygPvQef1L2NkDwjx5U83tj8htYo1VHcPPJLOKQkJl/mFe2yPJNhLGp4X5BFRxex+NhiFBQ+uPUDIgMii97QBUphrnV/8/t5pNUjAEzYNIFTyQ7+ndfpIbiJdr0ifXeOrYGNH2rX/zUDuj8LYw9AaJR2223jYex+CYCYSRDExW1b8xZ/eXuhqPDG7S87ezlCFMld507fsHsB+FN/kvjzMU5ekRBCiBorzRIEqVwmiKqqvLX1LQ5fPkyQRxDTb5+Ol5sXhLXVNrhy2rbfgwuql36ZT5Iu4IbC2ti1fLP/G8c+ofQFKcxSDlOeyTAWNTgIsjtpN1O2TwHg3x3/zS0Nbyl+41jzZBgX61PxUpeX6FyvM+m56fx7/b9JzUl17BNWdEzuldOwdJR2vcuT0E7L0Eanh7otteteQbW+BKYgCYK4MNO53fxk1F4ErTw70aJOEyevSIjiPXXnmwQaIcFdzw8rJWAnhBDCQSxBkEqOx513aB4rT61Er+j5uOfH1Petr93hHZxfppBwoFLP4XDJZ+iQncPr4dqkjf/b/X9sPLvRcc9nCYKU9yCtJrNkgkgQxCohPYEX1r9AnimPuxrfxYg2I4rfODcTzu3UrrtYEMRd587HPT8m3Cec2NRYxm8cj7Gi/TrKwjomtxxBxtwsWDRUC8Y16ATR79ne72f+u5Z63i5LrCkkCOLCdv/6Fr/5aKPZxt8mB5XCtXkZvIkOuh2A9Rwk+WKCk1ckhBCiRrJDY9St57cybec0AF7u8jJdwrrYbmDJBnHxkhhSzgDwYJN7GdRiECoq4zeOJybFQRmZkglSmKUnSIXKYSw9QWpOECTbmM0L61/gUtYlWgS14J2b3kFRrm3QWcDZHWDKBb9wCHK9E77BnsFMv306nnpPNp3bxMw9Mx34ZBUIMv76CsTvBa9gGDhXK1sryC9Mu7wab5811hASBHFRatIRfs7ah6ooNNG3plP49c5ekhCl+nefd/ExQqzBjfnLJXAnhBDCASxNOStYDnPm6hle3vgyJtVE/2b9rXX/NuqZP3cdXg4xf1V8WoOjJWtBEAIieLXrq3QM7Uhabhpj1o8hLSfN/s8nQZDCrOUwFWiMGmgOgiTXjMaoqqoyeetkDlw6QIBHADNun4G3u3fJD4rdol027gElBUucKKpOFG/1eAuAr/d/zZrTaxzzRNZMkDIGQXb/D3bNBRR44Jv836eC/M2ZIFfl5GRBEgRxNSYjxPzFiR+f4RdfHwDG3SIHk6J68Pfyp5dvNwDW5f1D1oGVsH+Ja3+AFEIIUb1UIhMkIzeDMevHkJKdQtuQtrxx4xuFz1IfWg7/fKtdj90Mc++D6W20211JVgpkm3uWBEbgrtdS90O9Q4lJiWHCXxMwWUdl2omMyS3MOh0msPyPtZTDpJ6vEZ+TfjjyA8tPLken6Jh621Qa+jUs/UHWpqiuVQpzrXub3suw64cB8ObmNzl6+aj9n8Q6Jvc0GPNK3jZhP6wcp12//TVodkfR21mGakg5jA0JgriSQ8u1N9m597E09xR5ikKnrDx6pkv6kqg+XrhnCp4mlaMe7uxa+QT8OMJ1P0AKIYSoXoy5kHFZu17OniCqqvLG5jc4fuU4dTzr8EnPT/DQX5M6fmi5Vl+fedn29tR47XZXeh+zZIF4BYNBO3EW4hXCjNtnYNAZ2HB2A1/s/cK+zxkUqV1mp+T/P9R2lZkO4xsGil4rB7H0uqmmtsdv56N/PgLgxU4vcmP4jaU/KC9HG48LLjUZpjhjOo6he3h3MvMyGbN+DMmWLCB78W8Abp5gyit5bHJmMix8DPKyoNmdcMtLxW9rLYdJkMBlAVUSBJk5cyaRkZF4enrSrVs3tm/fXuy2X3/9NbfccgtBQUEEBQXRu3fvQtsPGzYMRVFsvvr06ePoH8OxLG+6qee5rNOxxE+bof3Ulcuu96YrRAnqxm1l4NWrAHwd4J9/hyt+gBRCCFG9pF8EVO3A0Tu4XA/99sC3rI1di5vOjU9u/4R6PtdkkpiMsHq8tv9CzLetftV1ztib+4FcmwLfJqQNk3pMAmDW3lmsi11nv+d09wJ/GZNrozLlMHq3/HKFatwX5FzaOV7880WMqpH7mt7HY1GPle2B8XshL1ML5IW0dOwi7cBN58ZHt31EQ9+GnEs7x8sbXybPVErGRnnodPl9US4V8/oymWDZM3AlBgIawYCvtMcVx5IJkpsO2Q6eblONODwIsnDhQsaNG8ekSZPYtWsX7du3Jzo6mqSkoqOdGzZsYPDgwaxfv56tW7cSERHBXXfdxblz52y269OnD/Hx8dav+fPnO/pHcZxr3nRnBfqTpdPRMjubG7OytG1c6U1XiOKYf5eHplzFTVXZ4eXJ//x8SdDrcckPkEIIIaqXdMtkmJByjXvceHYjn+76FIDXur3GDaE3FN4odkspKeMqpJ7L72HgbAX6gVyr73V9GdJ6CACvbXqNE1dO2O95g80HaRIE0VRmOgwUmBBzxi7LqWqZeZmMXT+W5OxkoupEMan7pJIboRZUsBSmpAN5FxLgEcCMXjPwcvPi7/i/mb5zun2foLS+IFtmwNFVoDfAQ/NKDwYbvMEzQLueKtUFFg7/bZs2bRojR45k+PDhREVFMWvWLLy9vZk9e3aR2//vf//j2WefpUOHDrRq1YpvvvkGk8nEunW2UWwPDw/CwsKsX0FBFYi+uooCb7o/+Pky398PgGMGAz/5+uByb7pCFMf8uxxmNNIuKxuA90OCiY6oz1L5XRZCCFFZlpIB37KXwpxOOc2rG19FRWVQi0EMbDGwmH0nlnENZdzO0Szp8oGNirz7xc4v0i2sGxl5+X1Q7MLaF0TG5AKVmw4DBSbEVL8giKqqTNo8iSOXjxDsGcyM22fg6eZZ9h0UbIpajbQIasF/bv4PAHMPzWXFqRX223lJE2JiNsK6ydr1ez6C+kUEc4tiGZMrE2KsHBoEycnJYefOnfTu3Tv/CXU6evfuzdatW8u0j4yMDHJzcwkOto1ybdiwgdDQUFq2bMkzzzzDpUuX7Lr2KmV+M03Q63m/TpC1M7KqKLwdEmw+i47rvOkKUZwCv8u7PfPrrE3yuyyEEMIeLEGQMvYDSctJ49/r/83V3KvcEHoDr3Z9tfiNy9potRKjee2qhEwQyE/dr+9Tn7ircYzfOB6jPTIxZUKMrcqUw0CBTJDqVw4z5+Acfj39K26KGx/f9jFhPmFlf7DJCHF/a9erWRAE4M7GdzKy7UgA3tryFgcvHbTPjovLBEk9D0ueANUEHR6Fjo+XfZ/+5pIYCYJYOTQIcvHiRYxGI/Xq2b5Z1KtXj4SEso3pGT9+PPXr17cJpPTp04d58+axbt06PvjgA/7880/uvvtujMai/7BnZ2eTmppq8+VSzG+mp9zdUK9JHzMpCmfc3Wy2E8JlmX9H4+R3WQghhCOUYzKMSTUxYdMEYlJiCPUOZVrPabjr3Yt/QOMe5v4MJaTy+4W7zgFbMT1BCgryDGJGrxl46j3ZfH4zn+7+tPLPK0GQfHnZkJuhXa90OUz1CoJsPreZ6bumAzC+63g6h3Uu+4NNRtj9vdZg180L6kY5ZpEO9lyH57i14a1kG7MZu34slzLtcFLeMiGmYCaIMRcWD9PGg9drC/dMLd84YT8JglzLpYuv3n//fRYsWMBPP/2Ep2d+atXDDz9M3759adu2Lf3792fFihX8888/bNiwocj9TJkyhYCAAOtXRETxbxZOYX7TPe1e+I1Zp6pE5Bq1bsGu8qYrRHHMv8uNco3orulALb/LQgghKi39gnbpW7fUTb/Y+wUbzmzAoDMw4/YZhHiFlPwAnR76fGD+ppgDDA9/MOaUebkOVUomiEWr4Fa8c9M7AMw+MJtfY36t3PNKECSfpRQGBTwCKraPalgOE5cax8sbX8akmhjQfAAPtXyo7A+2TMP85d/a93mZ8H8dqmXjfL1Oz/u3vE+kfyQJ6Qm8+OeL5JpyK7dTSyZIcqw2PQdg7UQ4s037HRs0V+vzUR7WMbkSBLFwaBAkJCQEvV5PYqJt6ntiYiJhYSWnS02dOpX333+f3377jXbt2pW4bdOmTQkJCeHEiaKbPk2YMIGUlBTr15kzLvZHRqcnt8Mwlvtp480U88GjTlWZdPEKYUYj9Hm/XA3AhHAK8wfIMKORSRev2ARCbsnIlN9lIYQQlVPGTJB1seuYtXcWAJN6TKJNSJuy7T+qLwyal58+buETCm7ecPEoLB4ORjtOhKiI3Kz8JrHF9AQpqE+TPjzR5gkAJm6eyJHLRyr+3JbGqJlXZEyupRTGM6DijT0tmSDJLnZ8Uoz03HTGrB/D1ZyrtKvbjte7vV72RqgFpmHaqMYTBP0MfszoNQMfdx92Ju7kw+0fVnKH4Vp2jGqC7V/CH+/B359r993/RX6QpFz7tIzJlSCIhUODIAaDgU6dOtk0NbU0Oe3evXuxj/vwww955513WL16NZ07l55adfbsWS5dukR4eHiR93t4eODv72/z5WrWnfyLgx4eeJhUFp9LYHZ8ImvOnGeALkB7M47q6+wlClE25g+QA3T+rDlznqcvJwOwz9ODiz0ny++yEEKIiitDT5BTyad4bdNrAAxpPYS+15XzfSeqL4w9AI+vgAe+1S5fPAKP/QhunnDsV1j+vDaq0lkspRPuPmXuRfHvG/7NTfVvIsuYxZg/xpBsOYAvL4NP/pnlKzEV20dNUdnJMJAfBMlKhuyrlV2RQ6mqypub3+RE8gnqetXlk56fYNAbyvbg6jaCuhyaBjTl/VveB2DB0QX8dPyniu/s8C9gGbv72xuw0Zyd1uo+aHVvxfbpL41Rr+Xwcphx48bx9ddfM3fuXA4fPswzzzxDeno6w4cPB2Do0KFMmDDBuv0HH3zAm2++yezZs4mMjCQhIYGEhATS0tIASEtL4+WXX+bvv//m9OnTrFu3jn79+tGsWTOio6Md/eM4hJpyjl9ztYh8lGdXWj7yE13u/ZywIT/D2P1y0CiqH/MHyLAhP/PUHR9TN0/hil7PvBPrSn+sEEIIURxrOUzxQZAPd3xIRl4GXcK6MK7zuIo9j04PTW6Btg9qlzq9Vso5cA4oetj7A6x9E9SiDuiqgHUyTESZewPodXo+uPUDGvk14nz6eb7e/3XFn986waKWl8RYymEq2hQVwNM/f4RpyrlKL8mRNp/fzNrYtbjp3JjWcxqh3mWf0lTtRlCXU8+InjzX4TkApu6YytWcCgS0LJkyRZXUHFlZ8UwZKYcpxOFBkIceeoipU6cyceJEOnTowJ49e1i9erW1WWpcXBzx8fn/IV988QU5OTk8+OCDhIeHW7+mTp0KgF6vZ9++ffTt25cWLVowYsQIOnXqxF9//YWHh0eRa3B1O9Z+xHpvrefJ2J7jC7/pClEdmT9AurUbxO3BdwKwXj1GZmotT50VQghRcdZymKIPvvYk7WHzuc3oFT1vd38bd10JjVArouXd0O8z7frWz2DzdPvuv6zK2A/kWgEeAUzopp18XHh0IRcyLlTs+S0lMbW9L4glE6Si43EtrH1BXLc5qqqqfL5HK8t4pNUjdAjtUL4dVLcR1BUwsu1ImgY0JTUnlf8d/l/5HlxipoxZRTNlLEGQtMRqmWnjCFXSGHX06NHExsaSnZ3Ntm3b6Natm/W+DRs2MGfOHOv3p0+fRlXVQl9vvfUWAF5eXqxZs4akpCRycnI4ffo0X331VaEJNNVGbhar4lehKgpN1YZ0DG/p7BUJYXfP95mIl0nltMGNhSvedPZyhBDV1MyZM4mMjMTT05Nu3bqxffv2ErdfvHgxrVq1wtPTk7Zt27Jq1Sqb+1VVZeLEiYSHh+Pl5UXv3r05fvx4of2sXLmSbt264eXlRVBQEP3797fnjyXKKi8n/6CzmHIYy0Fav2b9iPB3UCP8Do/AXe9q139/C3bNc8zzlKQMk2GKc1P9m2hftz3ZxmxmH5hdsecPitQuT66HmL9q74GVdTxuYOX2Y50Q47p9Qf469xf7L+7Hy82L4W2Gl38H1W0EdQXodXqeaf8MAPMOziM1pxwTSR2ZKeMbCooOVGN+Nl0t59LTYWqD01vmsNJXO0vxWEVTNoVwcYFeAdzofj0AG1LXozq7oZwQotpZuHAh48aNY9KkSezatYv27dsTHR1NUlJSkdtv2bKFwYMHM2LECHbv3k3//v3p378/Bw4csG7z4Ycf8umnnzJr1iy2bduGj48P0dHRZGVlWbf58ccfeeyxxxg+fDh79+5l8+bNPPLIIw7/eUURLB/edW5Flh/sStzF1vituClujGo3yrFr6fE83DRWu/7LGK2OvypVMBMEQFEUa9r+oqOLSEwv55n3Q8th60zt+pmtMPc+bdpHNWxqWWn2KIcBl58Qo6oqM/do/+cPt3q49ElLRSl1BLVSIyYI3hV5F80Cm3E19yr/PfTfsj/QkZkyOn1+cKnEQEvtIUEQZ1JVlu3/ikydjtA8Xx64vrezVySEwzx7x2R0qspOLz1r1n7m7OUIIaqZadOmMXLkSIYPH05UVBSzZs3C29ub2bOLPpM9Y8YM+vTpw8svv0zr1q1555136NixI599pv39UVWV6dOn88Ybb9CvXz/atWvHvHnzOH/+PMuWLQMgLy+PMWPG8NFHH/H000/TokULoqKiGDRoUFX92KIgyzQUn7pFTuKwZIH0b96fBr4NHL+e3m/BDY9pUxyWjNAyIqqKNROk9MkwRbkx/EY6hnYkx5TDtwe+LfsDLT0LLBk5FtV4ukel2K0cxpIJ4prlMBvObODQpUNaFsj1FcgCgWtGUF/LHBipARMEdYrOmg3y/aHvSclOKdsDHZ0pYymJuZpQscfXMBIEcaKUE5tY4ZUJQJ+mQ8s+XkqIaqhVeEvam7T05VWnnJA6LISotnJycti5cye9e+efLNDpdPTu3ZutW7cW+ZitW7fabA8QHR1t3T4mJoaEhASbbQICAujWrZt1m127dnHu3Dl0Oh033HAD4eHh3H333TbZJNfKzs4mNTXV5kvYiWUyTBH9QP5J+IdtCdtw07kxqq2Ds0AsFAXum65NbTBmw/zBcH5P1Tx3JTJBwDYbZMmxJSSkl+HAqAZP96gwazlMZTNBXDcIYlJN1iyQR1s/SpBnJX7WqL7Q5cnCt/vXr1HTMHs37k2LoBak5aYx9+Dcsj3I0Zky1gkxkgkCEgRxqqXr/0Oimxu+Rj3/vuUJZy9HCId7rPOLAGz2ymHfntVOXo0Qorq4ePEiRqOxUP+vevXqkZBQ9MFbQkJCidtbLkva5tQprenjW2+9xRtvvMGKFSsICgqiZ8+eXL5cdJPnKVOmEBAQYP2KiHBQX4raqJjxuAVT9R9o/gDhvuFVtya9mzZGN/IWyLkK3z8Al0469jmNeVpvAKhQTxCLruFd6RLWhVxTLl/vK8OkmBo+3aNCrOUwgZXbjwuXw/wR9wdHrxzFx92Hx6Mer/wOc9K1yzYP5o+grmHTMHWKjmc7PAvA/w7/jytZV0p5BNdkylwbCLFDpoxfmHYpmSCABEGcJi/5PKvRZqt3D7gDD7fqOdlGiPK4s929NMn1JEensHhbcSmRQgjhGkwmEwCvv/46DzzwAJ06deK7775DURQWL15c5GMmTJhASkqK9evMGdc7qKm2rJNhbANX2xO2szNxJ+46d55sW8RZZkdz94SHf4CwdpBxEf7b37GjKK/Gaw0Ode7gG1apXT3bXjtQW3piKefTSjlDXAume5SbvcthUs+7VCaNSTXx+V6tzOzR1o8SWNmfEyB2s3bZfnCNnobZK6IXrYNbk5GXUfZskKi+WkaM/zWBXHtkysiYXBsSBHGSVb++zSEPA+4mePmuV529HCGqzH2RDwPwp3siiecdfLZMCFEjhISEoNfrSUy0PbhKTEwkLKzog8CwsLASt7dclrRNeLj2oTEqKsp6v4eHB02bNiUuLq7I5/Xw8MDf39/mS9iJpTGqb13rTQWzQAa2GEiYT+WCAhXm6Q9DfoTgppAcB98PKNw3w14s2QIBDYrsjVIencM60y28G3mmPL7a91XJG9eC6R7lZq9yGL8wreGvKc+lztSvjV3L8SvH8XX3ZWjU0MrvMOUsJMdqk0oadSt9+2pMURRrNsgPR37gUualsj0wqi+MPaBlyNgzU8baE0TKYUCCIM6Rl8NvV/4EoIO+FeF+dUt5gBA1x/Db/01InsIVvZ7v17zu7OUIIaoBg8FAp06dWLdunfU2k8nEunXr6N69e5GP6d69u832AGvXrrVu36RJE8LCwmy2SU1NZdu2bdZtOnXqhIeHB0ePHrVuk5uby+nTp2ncuLHdfj5RRkVkgmw9v5XdSbvx0Hswou0IJy3MzDcUHlumZWckHYIfHoKsq1rD1P1L7DdKtpL9QK5l6Q3y84mfOXO1hMylWjLdo1wsga7KlsPo9Pk9G1ykL4jRZOSLPV8AMDRqKAEeAZXfqaVUKrw9ePhVfn8u7raGt3F9nevJzMtkzsE5ZX+gTq9lyNgzU8ZfGqMWJEEQJ9i2fiYbvd0AeLrnm05ejRBVy13vzu1+NwOwIW8f2ZnpTl6REKI6GDduHF9//TVz587l8OHDPPPMM6SnpzN8uDapYOjQoUyYMMG6/ZgxY1i9ejUff/wxR44c4a233mLHjh2MHj0a0M7SjR07lnfffZfly5ezf/9+hg4dSv369enfvz8A/v7+PP3000yaNInffvuNo0eP8swzWtf/gQMHVu0/gIA0cyaIj3by6NoskFDvwg1Tq1xQY3jsJ/AMgDPb4KPrtBGyP46w3yjZFHMWkp2CIDeE3kCP+j3IU0vJBimxZwGACtFTamRpQ5FUNb8niD3KRFysL8ia02s4mXISP4MfQ6KG2Genpzdpl41vss/+XFzBbJAFRxZwMfOi8xbjZw6yyYhcQIIgTrH8+DxURaFlXh26Nmrn7OUIUeWeu+cdvEwqpw16Fqx429nLEUJUAw899BBTp05l4sSJdOjQgT179rB69WprY9O4uDji4/NrnXv06MEPP/zAV199Rfv27VmyZAnLli2jTZs21m1eeeUVnn/+eUaNGkWXLl1IS0tj9erVeHp6Wrf56KOPePjhh3nsscfo0qULsbGx/PHHHwQFVTL9XZTfNZkgm85tYt/FfXjqPZ2fBVJQvSjoMUa7bsy2vc8eo2QtmSCVaIp6LcuB2i8nfyEutehSL6D4ngWWoEjyabutyeXlZoApV7te2XIYcKkJMUaTkS/2alkgj0c9jp/BTlkbln4gtSQIAnBLg1toF9KOLGMWsw8UPdK9Slgao2YlQ26m89bhIiQIUsVOH/yd371yAHiw3Wgnr0YI56jjW4cbdc0AWHfpV1Rz80EhhCjJ6NGjiY2NJTs7m23bttGtW35N+YYNG5gzZ47N9gMHDuTo0aNkZ2dz4MAB7rnnHpv7FUVh8uTJJCQkkJWVxe+//06LFi1stnF3d2fq1KkkJiaSmprK2rVruf766x32M4oSpOePyC2YBfJwq4cJ8Qpx4sKuYTLCjm+KudMOo2RT7FsOA9C+bntuaXALRtXIl/u+LHnjonoW/Gu6dt+6d6puTLCzWUphdG5g8Kn8/lwoCLIqZhWnU08T4BHAo60ftc9OrybCpROAAo2LLmOsiQqOo150dBFJGUnOWYhnALh7a9evOqk5qslo//LACpIgSBVbsGkKGTod4bkGHur8gLOXI4TTjLp9EjpVZbcXrN34nbOXI4QQwpXlZUNWinbdN5Q/z/7JwUsH8XLzYtj1w5y6tEIcPUrWAZkgkJ8NsuLUCmJSYkre+NqeBR0fh9b/0jIjfnwyfwxqTWYdjxsESnF9UsrBRcph8kx5zNo7C4Bh1w/D1+Brnx1bskDqXW+fzJlqpHv97nSo24FsYzbf7v/WOYtQlPxsEGdMiDm0XCsHtHd5YAVJEKQKXb14lnVu2pvineH9UezxB1OIaqpNoxvokBcMwPIjpXSkF0IIUbulmc+e6g2oHgF8vkcb2zm41WDqeNVx4sKK4MhRsqqanylgx0wQgDYhbejZsCcm1VR6Nsi1FAX+9anWd+DScagNjc8tk2Hs0Q8ECgRBnJsJsvLUSuKuxhHkEcTgVoPtt2NL0K8WlcJYKIrCczdo2SBLji0hId1JzUktfUGqOhPk0HKtDPDa4LA9ygMrSIIgVeiHVa+T4OZGgBGeu+tlZy9HCKcb1OF5ALZ6pHPoSAXPiAkhhKj5LKUwPqH8cXY9hy8fxtvN2/WyQMCxo2TTL0KeuZ7fUj5hR5ZskFWnVnEq+VT5HuwdDPfPAhTY+R0cWWn39bkUe02GsbCWwzgvEyTXlGvNAhneZjg+7nYo87GwZIJE1r4gCEC3sG50qteJHFMO3+wvrlzOwawTYqowCGIywurxWEsBbdihPLCCJAhSRYw52fye9Q8AN3l2xtvds5RHCFHz3dPpQZrmuJOjU/jfX+84ezlCCCFclTkTxOQbYs0CebT1owR5umBafamjZNHuy04r/74tk2F8w8DNoyKrK1HrOq3pFdELFdXaGLNcmt4GPbQTHPw82jlp91WlYDmMPQQ00C6zUiAr1T77LKdfTv7C2bSzBHsG81DLh+y344zL2thogEa1aIRyAQV7g/x4/Efi05zw2rCUw1TlmFxHlwdWkARBqsjPaz7iiIced5PKc33kYE8I0N4Q7q7fH4C/9HFcvCRju4QQosq4UJO6UpmDIOu8vDh25Rg+7j48fv3jTl5UMUocJWv5XoUFg2Hzp1qJS1k5qB9IQZZskDWn13D8yvHy76DXmxDWDjIvw7JnoKY2P7d3OYyHX/6+Us/ZZ5/lkGvMtY5IfqLNE3hbmmjag+UAN6Ql+Na1336rmS5hXega1pU8Ux5f7/+66hfgjDG5jiwPrAQJglSRX88tAaCLqQGNgu2fvihEdfVE9HhC8uCKXsecVbWghlgIIVyBizWpK1VaEibgc7QShMeiHiPAI8C5aypJcaNk/evDg99pjURRYe2bsOxZrfFrWThgMsy1Wga35M7Gd1Y8G8TNoE2NcfOCU+thWwX2UR3YuxwG8oNbyVVfErPs5DLOpZ0jxCuEQS0H2Xfn1tG4tTMLpCBLkPGn4z9xLq2Kg13WTJAqzEJxZHlgJUgQpAps3fEz2z3zABja4zUnr0YI12Jw86Cnd2cANmRtJy8318krEkKIGs4Fm9SVKj2J33y8OWHKwM/dj8eiHnP2ikpX1CjZsfuhzQD41wy4+0NQ9LD3B5hznzZCtDSWppkOzAQBeKb9MygorI1dy9HLR8u/g7otoM972vXf34L4fXZdn0uwdzkMOG1CTI4xx5oFMqLNCLzcvOz7BNZ+IDfbd7/VUKd6nbgx/Eby1Dzrv3mV8XdCY9RSywMV8G9Q5QEyCYJUgSU7p2FSFK7P8eam1rc5ezlCuJxn+ryHl0kl1qDjh1+nOHs5QghRc7lok7rSGK8m8Hmglvnx2PWP4W/wd/KKyujaUbI6vXa7okC3p2DIEvAMgLPb4eteEL+35P0lOz4TBKB5UHOiI6MBrD1Yyq3TcGh5LxhzzGNzM+y4QhdgyQSxVzkMFGiOWrUTYpYeX0pCegKhXqE82OJB++48KwUS9mvXJRMEwNob5OcTP3MmtQoDXgVH5JanDK8ybMoDr2UOjPR5P/9vYxWRIIiDxZ47xibDRQD6N6sGZy2EcILQoHC6q9oHurXxS528GiGEqMFctEldaVZnxBFjcMdf78WQ1kOcvRz7ua4XPPkH1GkOqWdhdh84uKz47S2NUQMbOXxplmyQP878waFLh8q/A0WBvv+npblfPAprJ9p/kc5k6Qliz3IYJwRBso3Z1v4UT7Z7Ek83Ow9viNsGqgmCmuRnItRyHUI7cFODmzCqxvKPo64MP3N5njE7P4hXFaL6Qr+ZhW/3r6+VDUb1rbq1mEkQxMHm/PYGGTodEbkKg259xtnLEcJlPXHrJBRVZY+nkT/+XuTs5QghRM3kok3qSpJnymOWehmAxyPuxM/g5+QV2VlIM3jyd2jWG3IzYPHjsH5K0Q1FqygTBKBpYFPubnI3AF/sqWBfD5860N/82H++hqOr7bQ6F+CQcpiqH5O75NgSkjKSqOddjweaP2D/J4jdpF3W0tG4xXmuvZYN8supX4hNja2aJ3XzAO862vWqLIkBqNtKu/SqY1se6IQACEgQxKHSs9LZaDoIQO+AW9HpqzbNR4jqpH2zG7khR/tg++Pe/3PyaoQQooZy0SZ1JVkVs4rTeggwGnnUnmM7XYlXIDyyCLqP1r7/830tGJKTnr9N9tX87AMH9wSxeLr90+gUHRvObuDAxQMV20mzO+BG7YCPn58rW++T6sAh5TDmDJ8qygTJysvim/3fADCq3SgMeoP9n8SSVdZYgiAFta3bllsb3opJNTFr76yqe2JLNkhVB0GuxGiXdVsWLg90AgmCONC3KyaT5KYj0Ghi5D0yFleI0jwQNRKAvw1XOHZ6v5NXI4QQNZCLNqkrTp4pj1nmLIThKan4BDZ28oocSKeH6P9oaeM6dzi8HGZHa9kfJiMc/Fnbzt0H7Dm+tARNAppwX9P7gEr0BgHoPQnqtYGMi/Dzs1XXj8CRrOUwDsgEST0Pxjz77bcYi48t5mLmRcJ9wrm/2f32f4KcdDi/W7suQZBCLJNiVsWs4lTKqap5UksQJLWqgyCntcugyKp93mJIEMRBVFVl/WUt5e82XTP8fOz4B1KIGupfNw3nuhwdOTqFOevecPZyhBCi5nHRJnXF+eXkL5xJO0uQ0cjg9FzwqCYNUSvjhiEwbAX41NUaSn7RA6a2gOXmbIrc9CodZ/xUu6fQK3r+OvcXey+U0ri1OG4e8MA34OYJJ36HbVXYB8ERTCat4SfYtyeIbz0tAKYaIS3BfvstQkZuhk0WiLve3f5PcmYbmPLAv2GV9LGpbq6vcz09I3pWbTaIM8bkggRBaoslG+dxwsOEu6ryZK/Jzl6OENWCoijcFdIHgE3KCZKvXnbyioQQogaK6gtdRxa+3YlN6oqSa8q1Ng18IjkVb59QrdlmbdDoRhi5XiuPyE7VMigKqsJxxo38G/Gv6/4FVDIbJLQ13PWudn3tREg8aIfVOUl2qtbsE+xbDqPT5TcPdXBJzKKji7icdZkGvg3o16yfY57EUgoTeVPtee2W07PttWyQ1TGrOXHlhOOf0BljckGCILXFL0e1uc835fgT2ai9k1cjRPXxxL2TqJtn4opex9cr3nT2coQQomYy5miXbl7aZaMeTm1SV5TlJ5ZzLu0cddx9eehqGvjWdfaSqpZ/fTDlFnNn1Y4zHtVuFG6KG1vOb2F30u6K76jLk9A8WptO8eOTkJtlv0VWJUspjJsXuNt5moolYyLZcc1RM3Iz+O7gd4CW6eOuc0AWCMDpzdqllMIUq3Wd1vRu1BsVlVn7qiAbxGnlMObmrxIEqbm2H9vBXoOWIveQufOvEKJsPA3e3GZoB8CfaRsx5jn+w50QQtQ6Z7Zrlzc8ql2mJbhMCQxArrFAFkhwJ7xU1aWatVaJ2C2lnK2tunHGEX4R1myBmXuKGHVZVoqi9TzxqQtJh2DtmxDzF+xfol1WQUDHLixNUe1ZCmNRBRNi5h+Zz+Wsy0T4RVizfOwuNwvO7dCuSxCkRE+3fxqANafXcOzKMcc+mTMao+blaCPAQYIgNdncvyZjUhRuyFK4uesjzl6OENXOyOj38DKZiDXAD+tmOHs5QghRs2QmQ9Jh7XrnEdrl5RjITnPakq7104mfiE+PJ8QrhEEG84d2n1qWCeJi44xHthuJm86NbfHb2JGwo+I78q2bPzZ3+1cw9z74cYR2WYW9TirFMh7XnqUwFtYgiGPKYdJz061ZIE+3fxo3nZtDnodzO7SMM996UOc6xzxHDdEyuCV3Nb4LqMQ46rLyd0IQJOWMVj7m5gW+oVX3vCWQIIidnb9ygR06rbvvveH3Sv2bEBVQP7QJPfK0xk2rT//g5NUIUYOZjNXzLKyonHM7ABWCm0K9KHOGhaqdmXcBOcYcvtqnlRU/2fZJPDPN/aFqWyaIi40zbuDbgAHNBgDw+d5K9AYByM0s+vYq7HVSKY6YDGPh4CDID4d/ICU7hUj/SO5pco9DngMoMBq3hxwPlcEz7Z9BQeH3uN85cvmI457IkgmSlgTG4srt7KxgPxAX+V2QIIidzVw9iQydQmSOkYHRMt1CiIoa0v1VFFVln2c2f/8+TQ7ShLC3Q8u1s67V8SysqBxLKUxEN+2yXhvtMsE1RpP/ePxHEjMSCfUO5cEWD+ZnOrjIGcQq44LjjEe2G4m7zp1/Ev5he/z2iu3EZITV44u5s2p7nVRYlZTD2DEIYg54X93zPXPME2Geav+U47JAAE5v0i6lFKZMmgU1o0+kNhygUg2IS+Mdok0gQtUCIVUh2bX6gUAVBUFmzpxJZGQknp6edOvWje3bS/6juXjxYlq1aoWnpydt27Zl1apVNverqsrEiRMJDw/Hy8uL3r17c/z4cUf+CKUzGck+sZ6/0zcCcJdHG3QePs5dkxDVWOc2d9ItS6tPX3P4UzlIE8KeDi3Xzramnre9vbqchRWVc2abdhnRVbsMMwdBEg84Zz0FZOVl8c0+7SBtZNuReOg9IO2CdmdtK4exGWd8bSDEOeOMw3zCeKD5A4DWG0RV1fLvJHZL4b89Nqqu10mFWcphHJIJYm6Maq+eIAUC3t9vmEBqXgZN8lTuzsyzz/6LkpeTH2yVIEiZPd3haXSKjvVn1nPwkoOmJ+l0VT8m18Umw0AVBEEWLlzIuHHjmDRpErt27aJ9+/ZER0eTlFR05GnLli0MHjyYESNGsHv3bvr370///v05cCD/jfnDDz/k008/ZdasWWzbtg0fHx+io6PJynJSh2nzH5dlyx4lyV0hwGjkyaQ98iFSiMo4tJxRydof5+W+Pvzu5UWCXi8HaUJUlvUsrHbwkqDXs93TQ3t9VZezsKLijHlw1tzPwZoJ0la7dIGRpUuOLSEpM4kwnzAGNNdKL/IzQWpZOQxo03oGzcuv47dw4jjjJ9s+iUFnYFfSLrbGby3/Dlys10mFWMphHNITpIF2mZ0KWSmV21eBgHeqTuG//v4APHv5EvrFwxz3WSp+D+Rlglcw1G3lmOeogZoGNLWWKDk0G0SCII4PgkybNo2RI0cyfPhwoqKimDVrFt7e3syePbvI7WfMmEGfPn14+eWXad26Ne+88w4dO3bks88+A7QskOnTp/PGG2/Qr18/2rVrx7x58zh//jzLli1z9I9TmPmPy1JTCu+GBAOQqtPxK+lyoCZERZkP0jplZROem0uOTscLYXWJjqjPUl9vbRs5SBOiYgqchV3s60N0RH1GhNczv758qBZnYUXFJR2CnDTw8M8/OLFmghwEk8lpS8vMy+TbA98CWhaIQW/Q7kg3Z4LUtnIYi6i+MPYAPL4CHvhWu3TiOON6PvUY2HIgoB2olTsbxMV6nVSII8thDD5a8AAqVxJzTcD7v/7+XNXraJaTw13pGdo2jvosZS2F6aFlHogye6rdU+gUHRvPbmT/BQeVKFb1mNzaFgTJyclh586d9O7dO/8JdTp69+7N1q1FR463bt1qsz1AdHS0dfuYmBgSEhJstgkICKBbt27F7jM7O5vU1FSbL7sw/3FJ0Ot4KyTY2uhFVRTeDgnSzqrJgZoQ5Wc+SEvS60lwy69XNSkKb4cEk6DXyUGaEBVlPruaoNfzTkgwJvN7V/7rS2+znahhLKUwDTvnl1HUaQ56Dy04knzaaUtbenwpFzMvUt+nPvc3u1+7MSddWxfU3iAIaP9XTW6Btg9ql04eZzyizQg89B7svbCXbQnbyvdgF+x1Um6OLIcB+/QFKRDwTlcUvg/wA+CZKynmA0AHBrytTVGlFKa8IgMiua/pfQDWBtF2Zx2TW1JZmh3VtiDIxYsXMRqN1KtnG8mtV68eCQkJRT4mISGhxO0tl+XZ55QpUwgICLB+RUREVOjnKcT8xyXO3Q31mk63JkXhjLteDtSEqAjzwVfxry03m+2EEOVgPrsaW9rry5XPwoqKu7YpKoDeDULNWSEJzukLoqoqS44tAeDx6x/HXe+u3WFp3OfmBQZfp6xNFFbXuy79m/UHsP6/lZkL9jopN0smiCPKYQACzMcqlekLUuAz0mofb9J0Ohrn5tI7I7PY7ezCmAdxf2vXIyUIUhFPtn0SgI3nNpKY7oDPutYxuUUfO9tV5pX8sq7ARo5/vjKqFflJEyZMICUlxfp15oydGg2Z/2g0ys1Dd00qoE5VicjNs9lOCFFG5oOvUl9bcpAmRPmZz8KmKIU/AmivL6Prn4UVFXdtU1QLa18Q5wRBDlw8wInkE3joPbi36b35d1iCIL6hLjNaUWgsDVL/iPuDK1lXyvdgF+x1Ui7WEbmBjtl/oDkIklyJY5YCn5GW+mkBxAFX0wof/Nn7s1Tifsi5Ch4B+ZOnRLk0CWhCx9COmFQTP5/82f5P4FdfuyyxQbGdWLJAfMPA4O345ysjhwZBQkJC0Ov1JCbaBgESExMJCwsr8jFhYWElbm+5LM8+PTw88Pf3t/myC/MfjTCjkUkXL1sP1nSqyqSLlwkzGm22E0KUkfkgLcxosnltAQxJSSXMaJKDNCEqSqeH299gpZ82wUyxee+6or13ufpZWFExVxO0UYWKDhp0tr3P0hfESZkgPx7/EYDejXsT4BGQf0d6gSCIcCmt67SmdXBrck25rDi1ovw7sPQ6GfoLKOYMtKHLXT8AApBpPrPtyuUwjXuAwYcT7u7s8/RAr6r0TUsvsIGDyo5Ob9YuG90o7yOVYGkMvfT4UkyqnXs1WRujVkEmiAuWwoCDgyAGg4FOnTqxbt06620mk4l169bRvXv3Ih/TvXt3m+0B1q5da92+SZMmhIWF2WyTmprKtm3bit2nwxSoaRyQls6aM+eZHZ/ImjPnGZCWTrWoaRTCFRVIlR2QlsGaM+e53dzEK8ZgbpQnB2lCVNiB8wdZ7+0FwDcJifnvXbqA6nEWVlSMpRQm9HrwvOaEkOWMbaKDGvGVICM3g19jfgXyswusavNkmGqg4IFahcbl6vTQ9FYIaaZ978SeNOXi8HIYOwRBjqyAnHSWmgPet2VkEmK85mDaEZ+lYs1BECmFqZQ7G9+Jr7sv59LO8U/CP/bdub85E6QqpsPUxiAIwLhx4/j666+ZO3cuhw8f5plnniE9PZ3hw4cDMHToUCZMmGDdfsyYMaxevZqPP/6YI0eO8NZbb7Fjxw5Gjx4NgKIojB07lnfffZfly5ezf/9+hg4dSv369enfv7+jfxxb19Q0hhmNdMnKNmeAVJOaRiFcVYFU2TCjkRcvJ6OoKn95e7Gr2xg5SBOiooy5/BjzE6qi0Dg3jK4PLaXLvZ8TNuRnp06cEFWguFIYyM8ESY6r/FjOclpzeg0ZeRlE+EXQud41GSpp5skwPnWrdE2ibO5peg8eeg9OJJ9g/8VKBNCCr9MuL52yz8IcyZinlXuAAzNBLD1BKhgEuXQSfh5NDvBLgLbGAVfTbLdp95D9/96bTNIU1U683b25u8ndQH6mnN1YMkGyUyE7reRtK6u2BkEeeughpk6dysSJE+nQoQN79uxh9erV1samcXFxxMfnR6F69OjBDz/8wFdffUX79u1ZsmQJy5Yto02b/JqyV155heeff55Ro0bRpUsX0tLSWL16NZ6eno7+cQqr7jWNQriyAmMBG/f7kk5ZWqO8OWfWO3lhQlRfSbvns9JHe/u/7/rnXWrihHCwopqiWngFgb/57HPiwapbE/DTiZ8ALatAubbvh7UcRjJBXJG/wZ87G98JaNkgFVanqXZ5+aQdVuVgBYOEngHFb1cZlkyQq+e1oEt55GbC4schO5X1jTqQjJFQr7rcNHChNmL5pjHadqc2QF62XZdN0iGtX4q7D4S3t+++ayFLZty62HWkZNsxOO3hBwZtWpDDS2JcNAjiVvomlTd69GhrJse1NmzYUOi2gQMHMnDgwGL3pygKkydPZvLkyfZaYuVE9YVW92qRz7RE7Y26cQ/5MCmEPVjGAgJ3JV1ix9nP2OJ+mbiz+2nUsK2TFydE9bPgn/8j01tHSK43I7ve5+zliKqSmwXxe7TrRWWCgJYNknpW6wtSRaW8p5JPsTtpNzpFR9/rijhxZG2MKpkgrmpA8wGsOLWCX2N+5ZUur+DtXoHmh9ZMkGoQBLGUwhj8tMlKjuATCnoDGHO0QEh5pmqsfhUS9oN3CEvDm0DSZfo1649b057a/a37wr7F2n73LoBOj9tv3ZYskIiuYJnwJCosqk4ULYJacOzKMVacWsGjrR+13879w+HiVe33wFKO5gguGgSpFdNhqoSLzW8XoiZ66PaRROboyNYpfPfb685ejhDVTlbsNpYbtNTXm8IHo9fLx4BaI36PdkDlE1r8h1En9AWxZIHc2uBWQr2LaH6aJpkgrq5zvc408mtERl4Ga06vqdhO6piDINUiEyRZu3RUKQyATqf1FYTylcTsXQg75wAK5+/9gK1JuwC4v9n9+du4GaD7c9r1LZ+CyWiXJQMQu0m7lH4gdqEoSuX77hSnKpqjGvPyJxxJEEQIISpGp9NxW/A9AKxXT5CRKuOnhSiPH/+YTKKbG755Ol7u9ZSzlyOqUsF+IMWNmq3iCTG5xlyWn1wOwP3N7y96I0tjVB+ZDuOqFEWx/v9VuCTGkglyJRaMuXZamYNYMkG8HFQKY1He5qhJR2DFWO36beNZlpuEikrXsK5E+EfYbtvpca2p66UTWgNVe1BV6QfiAPc1vQ+DzsCxK8c4dOmQ/XZcFWNyU8+CagQ3T5cLZEsQRAhRrTx1z5sE56lcctMzd+Vrzl6OENWGmhrP8twTALTzuo0ALy8nr0hUqZL6gVjUM5cYJh2279nhYvx59k8uZ10mxCuEWxreUngDVYV0c2NUGZHr0vpe1xe9omfPhT2cSq5Ac1O/cHDz0g6YkuPsv8D/b+++w6OqswaOf++U9EYgpEAITQ2RppRIU0okiIrYddkFXVZ3XfEVu7gq1tV13V3rWlaxu9gRWaRIlSIgiNIxtARCEiCkt8nMff+4uZOE9GRm7kxyPs8zzwwzd+6cDIG5c+7vnONKpXnatbsmw+iczVEzmt62ohg+nQ62Eug9FvuYe1iQtgConuBTi38oDL9Fu73uBe3fWlud/FX792oJgG5D2r4/AUC4fzgTEiYAbey7cybnShA3TojRS2EiErTVTV7Eu6IRQogmhAYGcYFV+3BdWrQR1ebipl5CtFMrlj/Jbn8/LA64K2VO008Q7Yeq1lgJ0kgSJLIXWIOgstQjvRn0iQdT+kzBaqqnf0BFkfalDiQJ4uW6BnVlTDctkdWqL2omE0RWNUc9lebCyNzAE+UwUL0SJK+JJIiqwqK74OQ+CImBq97ih+wtHC8+TqhfKBN6TKj/ecl/0hJPmdvg0Nq2x6uXwnQfBhb/tu9POOmJrMWHFlNaWeqanXpiTK6X9gMBSYIIIXzQralPE+BQOeBnZuGyp40ORwjvZyvj65yVAPRTzyaxa2wTTxDtyulD2hlasx/EDW54O5MZuiZpt93cFySrOIsNmdrS+XrPVEN1PxBrMPgFuzUe0Xb63+M3B7/B1pqSFn1CjLc3R3WWw0S493Uimjkmd9t78MsnoJjhmnkQEuVMRF3W+zICLA1MzwzuAuf9Vru9/oW2x+sshfFMU+WOZHjMcLqFdKPIVsTyI8tds9PQquOAAk8kQRLc9xqtJEkQIYTP6RPdncF27T/UbzK+cs0yTiHasd3rX2dNoDbF4HcjpIysw9FLYeLOa/oMrYf6gnyd9jUO1cGQ6CEkhDVwgOxsiiqrQHzBmO5j6BLYhdyyXNYcXdPyHUT6SHNUj5XDNKMnyPGfYfH92u0Jj0DPUZwuO83KDC3p3WCCUTdylpY8ObASMre3PlZVhcPrtdvSD8TlTIrJ2dzWZSUxehLEnY1RZSWIEEK41o0jH0FRVTYFwrYf3jE6HCG8l6oyf8+7qIpC74rOXNJParU7nJpNUZvinBDjviSIQ3U4p8JcfdbVDW9YLEkQX2IxWbiizxVAdalTi3SuGtPp7StBPFYOU6MnSH0ne8ry4dMZYC+HsyfByDsB+ObAN1Q6KknqnERiZGLjr9GpJ/SvSpSsf7H1sZ4+rI1aNVm1chjhclf0vQKTYmJr9lYO5x9u+w7D9CTIcXA42r6/+kgSRAghXGt80gUkVmgHIJ/8/JrB0QjhvU7uW8bSAG1peurZtxkcjTBEejP6gehiqpqjunElyOaszRwrOkaINYSUhJSGN5SVID5HnxKzIXMDWcUtPMPsK2NyPVUOo4/IrSjSEh41qSp8PUsrdQvvAVNfA5MJVVWdCcar+jaxCkQ3arZ2vXsB5LaiqS3AkapVIN3OB7+g1u1DNComOIZRcdoqG/3vuE1CogEFHDYoOdX2/dVHkiBCCOF6k875MwAr/Us4vn+lwdEI4Z0++P5ZSkwmoiv8uXX0tUaHIzytLB9yqsYqdm/OSpBztevCTCjJdUtIX+7XlnNf2vtSAi2NTCnSkyAyHtdnJIQlMDR6KA7V4ZxO0mx6OUz+Uaj04qbnejmMu1eC+AVBUBft9pkTYja9DnsWaisvrn0XgiIB+OXkL6TlpRFgDuCS3pc073Vi+kPfi0F1wIaXWxerjMb1CH3l3NdpX2NztHGUtNkKwVHabXc0Ry3Nq04YRkhPECGEcJkZo6+nW4UfZSYTH6x50uhwhPA6FScPsNiknY1N7jIVi1k+9jucoz8CqnYmLjS66e39Q6vP2mW5vjlqXlke36V/B1SvGmhQUbZ2HdKMuIXX0PtQLEhbgENtwTL7kK7gF6J9GdfPIHsjvRzG3T1BoP6+IBlbYNnD2u3Up6F7dYnjV79qKwQuTriYML+w5r/O6Nna9U8fVScfW+Jw1WQYSYK41YXxFxIZEMmpslN8f/T7tu+wZkmMq+Ud0a6Do8A/xPX7byM5GhJC+Cyz2cSIqGsAWGLKpjxnn8ERCeFdPl36CFkWC6GVCndNnG10OMIIelPU5pTC6NzYF+R/h/6HzWEjMTKRpMikxjcuPqFdh0S5PA7hPikJKYRaQzlWdIxNxzc1/4mKUmNMrheXxHiqHAbqJkFKcuGzm8BRCUlTYfitzk1LbCV8e+hboBkNUc+UMErr5WEvhx9aWGKcf1T7wquYoEcL/p8RLWY1WZ19d1zSIDXUjUkQLy6FAUmCCCF83J0TZxNeqXDCYua/S2TqhRA6tbyIb4p/AmCwdRhdgr3vTIzwgJY0RdW5qS+IqqrOhplX9r0SRVEaf4KzJ4isBPElgZZAJveeDFSvTGg2X+gL4qlyGKjuC5L2HRxcC1/eCgVHtWTRlJe1xFGVpYeXUlJZQkJYAkOiW9gAW1Gqe4NseRvKCpr/XL0UJnaQtpJMuNXUs6YC8P2x78kuzm7bztw5JleSIEII4T4RQYEM9h8DwKKyXahFJw2OSAjvsGrF39jtb8HqULktZa7R4QgjOOxV5TC0ciWIa8thdp3axa+nf8XP5MelvS9t+gnSE8Rn6SsRvkv/jjy9fKQ59L4g3roSxFYGlaXabXeXw+xeCD//V7u9fwm8fzmkLdf6gFz3PgTULndpUYKxPudMhi5nQ3k+bG3B1D0phfGo3uG9Ob/r+ThUBwsPLGzbzpwrQTLbHtiZJAkihBDuNevih/FzwD5/K8uXyZc9IXA4+Dx9AQDnViYwIK6HsfEIY+TsgYpC8AuFrk2UntQUU5UEObEP7G1svleDvnw7JSGFcP/wxjdWVRmR68P08aw2h43/Hfpf85/o7StBnAkdBfxb0HOjpXYvhE+nQ3k9KzIcNsg9VOuuA3kH+PnEz5gVM1f0vaJ1r2kywShtzC4b/9385rTSFNXj9H5KX6V91bK+O2dy9gRp4SSn5pAkiBBCuFdidCyJjnMA+Cp7BVSUGByREMbas+2/rA9QAbh22AMGRyMMo5fCdB8KJnPznxeRoH3Bs1fAyf0uCaXEVsLiQ4uB6gkHjSovgMoy7bYkQXySvhrki1+/QFXV5j3JuRKklaNa3c1ZChOhJQ3cwWGHJQ8ADb1nCix5UNuuip5gvLD7hXQJ7NL61x5wHYTGQVEW/Dy/6e0Ls+HUr1pMCSNa/7qiRSYmTCTYGkxGYQY/Zv3Y+h1JOYwQQvi2aSO0fiDrAy3s+v5Fg6MRwlgfbn0Fh6JwVlkolw8aY3Q4wijOfiAtbFaoKNWjcl3UF2T5keUU24rpHtKdoTFDm35CUVVTVP8wsDYyRld4rcm9JuNn8uPX07+y69Su5j1JXwlScBRspe4LrrX0pqjuLIU5sgEKGitPUKHgmHMFhs1u45sD3wCtaIh6JosfjLhdu73hpVqJlnqlV60Cie7vmR4pAoAgaxCX9NJGIH+Z1oYGqe5qjOqwQ166dluSIEII4T6Tk86nZ3lXVEXhk30fNf3BLUQ7deroNr7z05ZQj+v1+9bVhov2oTVNUXUu7guin6m+6qyrMCnNOPzUx+MGy2QYXxXuH87FPS8GqvtVNCmoM+ilUmeUfHgFvRzGnV/4i5rZ7LJqu1UZqzhdfpqowChGdxvd9tcfMkNL8pxKg72LGt/28HrtOmFk219XtIi+om754eXkl+e3bidhcdp1ycnmlz81R8ExbYKR2a860eJlJAkihGg3UhPvAGBJoMqJ7f81OBohjPHud49RYjIRW2Hmj+NvNjocYZTC7KrlyIpWDtNSel8QF6wEOZR/iG052zApJqb0mdK8JxXLZJj24Kq+2sqEbw99S4mtGaWqigKdq8bkemNfkJrlMO7S3N/5qu30lQBX9L0Ci8nS9tf3D4Xht2i3172g9edpyJGqJEhP6Qfiaed2PpezOp1FhaPCWWrYYoGdwOyv3XZlXxC9FCaiR8tKMT1IkiBCiHbjjyMvJ6oiiFKTif9ueqHxD24h2iFb8UmW2NMASA5Lxc/inQcfwgOObtauuyZBQBNNSOsTXTUmN7vtSRB9TOqYbmOIDm7mFzzneFxZCeLLhsYMJT40nmJbMcuOLGvek7x5QownymESRladoW9oFZ+ijc5NGMnxouNsOKaVpFzZ90rXxTD8j2AJgMxtcGht/duU5ELObu12D1kJ4mmKojhXg+gr7VqxEwiN0W67IwnipaUwIEkQIUQ7YrWYGRb9GwC+9ium4uBqYwMSwsPmf/soWRYzYXaVWZf8xehwhJHaUgoD0LUfKCYoPqGtKmklm8PG1we+BqonGjSLjMdtF0yKyfnlXE+GNcmbJ8R4ohzGZIZJf6v6w5mJkKo/T3oWTGYWHFiAisqwmGH0CHPhFLCQKDjvd9rt9S/Uv40+FabLOZKsNMilvS7FarKyN3cvu0/tbt1O3DEmV5IgQgjhWfeNv4WQSjM5FgtfrnrK6HCE8ByHnUW5awAYQn+iw9w4vlF4v4yqlSAtbYqq8wuqPiPfhr4gazPWkluWS+eAzlzY/cLmP1HviyDlMD7vir5XYFJMbMvZxsH8Zkx98eYJMfpKEHeWwwAkTYHr3q8eYaoLi9PuT5qCQ3Ww4NcFgAsaotZn5CxQzHBgJWRur/u4czSurAIxSkRABCk9UoA2rAZxx5jc00e0a0mCCCGEZ3QJCSIxQGvE9qXjKGp2KzPjQviYVWtfZre/CT+Hyk3jHjc6HLd49dVX6dmzJwEBASQnJ7N58+ZGt//ss89ITEwkICCAAQMGsHhx7bppVVV59NFHiY2NJTAwkJSUFH799dd691VeXs7gwYNRFIXt27e76kdyj8pyyPxJu92jlUkQcElfEL1fwZS+U7CarM1/YnHVdBg5w+zzugZ1ZUw3bUqV/qW9UZ37aten0twXVGvpPUHcWQ6jS5oCs3fCjEVw9dva9ewd2v3AD8d/ILM4k1BrqPOLsEt16gn9q5Ir6+uZundknXbd0wXNWEWr6SvsFh9cTGllKyYqhVY1R210IlELyUoQIYTwvLvGz8bqgD3+fqxd0T6/DApxpk/2fQDAwIqunN/rHIOjcb1PPvmEu+++m7lz57Jt2zYGDRpEamoqOTk59W6/YcMGbrzxRmbOnMlPP/3E1KlTmTp1Kjt3Vn+hf+6553jppZd4/fXX2bRpE8HBwaSmplJWVlZnf/fffz9xcXFu+/lc6vjPYK/QJqt06tX6/TgnxLQuCZJdnM26Y9oXJb1BZrPJSpB2RV+p8PWBr7E5bI1vrDdGLcqC8iI3R9ZCniiHqclkhl5jYMA12nWNJpP6mf9Le19KgCXAPa8/6k7tevcCyK2xMqcsH7KqVojJShBDJccm0y2kG4W2Qr478l3LdyA9QYQQon0YGNuNBHUwAJ/nb3VtdlsIL7R/73I2+mvj7S4feI/B0bjHP//5T2655RZuvvlmkpKSeP311wkKCmLevHn1bv/iiy8yadIk7rvvPvr168eTTz7J+eefzyuvvAJoq0BeeOEFHn74Ya644goGDhzI+++/T2ZmJgsWLKi1r2+//ZZly5bx/PPPu/vHdA1nP5BkrfFda8VUNUdt5UqQrw98jUN1cH7X8+kZ3rNlTy6qWgkiPUHahTHdx9A5oDO5ZbmszWig0aYusBMERmq3c72sJMZT5TBNOF12mpXpKwE3lcLoYgZA34tBdcCGl6vvT9+k3depV/WYVWEIk2Jiat+pQCtLYvS/v8LjrgmovFAbuQsQkeCafbqBJEGEEO3SjOF3A7AmMIBfV/+tia2F8G3z1j+LQ1FILPPnygsmGx2Oy1VUVLB161ZSUqqXfJtMJlJSUti4cWO9z9m4cWOt7QFSU1Od2x86dIisrKxa24SHh5OcnFxrn9nZ2dxyyy188MEHBAUFufLHcp/0H7Tr1jZF1ekrQU7uB1vd1TGNcagO5wH51Wdf3bLXVdUaI3IlCdIeWE1Wruh7BQBf/PpF00/w1uaozhG5HloJ0oBFBxdhc9joF9mPfp37uffFRs/Wrn/6qLpJsrMURkbjeoOpfadiUkz8mP0jRwqOtOzJ+koQV50w1PuBBHWGAO/tTSZJECFEu3TFuYOJKe+OqijMT/8flBUYHZIQbpGXe5jVJm0Z60Wx16O05cy/lzp58iR2u53o6NqlEdHR0WRl1b+ENysrq9Ht9evGtlFVlZtuuok//elPDB06tFmxlpeXU1BQUOviUara9qaourA47cueaocTe1v01C1ZWzhWdIwQawgXJ1zcstcty9PKeUAr6RHtgj4lZn3merKKm1h6761jcvVyGE/0BGmAqqrOBKNbV4HoEkZB92FgL4dNr2v3OZuiShLEG8QExzAyTitLavYUJl1ojcaoqtr2YHygFAYkCSKEaKcURWHi2X8G4Jtgf07rH9xCtDNvLXmIYpOJ7hUwM3W20eG0Ky+//DKFhYXMmTOn2c955plnCA8Pd17i4+PdGGE9Th/WVlGYrBA7uG37UpRW9wXRz/ZP7jWZQEtgy15XL4UJCAerm3odCI/rGd6TIdFDcKgOvk77uvGNnStBvKgcRlW9ohxmx8kdpOWl4W/2Z3JvD6z8UxQYNVu7vfkt2P01HNuq/Tn+Ave/vmiWq8/SVtx9feBrKh2VzX+ingSxFUO5C5L2kgQRQghj/d+oyYRXhFJqMvHJL/MgbRXs+BwOfQ8Ou9HhCdFmlbZSlpT+DEBywCgC/VswfcOHdOnSBbPZTHZ2dq37s7OziYmJqfc5MTExjW6vXze2zcqVK9m4cSP+/v5YLBb69tWmVgwdOpQZM2bU+7pz5swhPz/fecnIyGjhT9tG+iqQuMGuSSC0oi9Ifnk+K46sAFp5plpviir9QNod/ffhq7SvcKiOhjeMrGqO6k0rQSqKQf9yaWA5jL4K5OKEiwnz81C5wTmTtS/LFQXw6XStHwjAe5fC7oWeiUE06qLuFxEZEMnJ0pN8f/T75j/RL0hLOINrmqNKEgRyc3OZNm0aYWFhREREMHPmTIqKGu7ynJubyx133ME555xDYGAgPXr04P/+7//Iz8+vtZ2iKHUu8+fPd+ePIoTwQf5WM+d3/S0AnwUp2D6cCl/MhPcugxf6ywe38Hnzlz1JtsVEuN3BHy550uhw3MbPz48hQ4awYsUK530Oh4MVK1YwYsSIep8zYsSIWtsDLF++3Ll9r169iImJqbVNQUEBmzZtcm7z0ksv8fPPP7N9+3a2b9/uHLH7ySef8PTTT9f7uv7+/oSFhdW6eFTNpqiu0IqVIIsOLqLCUcE5nc4hqXNSy1/T2Q9EJsO0NxcnXEyINYRjRcfYnNXIiGtv7AmirwIxWcFqTH+gElsJ3x76FvBQKYxu76L6G2cWHNeSInI8ZTir2cqUPtr45BY3SHXlmFxJgsC0adPYtWsXy5cvZ9GiRaxdu5Zbb721we0zMzPJzMzk+eefZ+fOnbz77rssWbKEmTNn1tn2nXfe4fjx487L1KlT3fiTCCF81dxunelSaSfHYmFZcI2DFvngFr7MYYdD3/PNMe33d3hlb7p3ad+9E+6++27+85//8N5777Fnzx5uu+02iouLufnmmwGYPn16rbKVO++8kyVLlvCPf/yDvXv38thjj/Hjjz8ya9YsQDuhMnv2bJ566ikWLlzIjh07mD59OnFxcc5jih49etC/f3/n5eyzzwagT58+dO/e3bNvQHM5+4G0sSmqLqYqCZK1o1n14jX7FVx51pWt61FTpCdB2vfvdEcUaAlkci+thKPRL2p6T5DiE97T08s5HjeibVOX2mDp4aWUVJbQI7QHQ6Ob16eozRx2WPJAAw9W/Z+w5EFZYesFrjxL67vz/bHvySmpf3x8vZxjcl0wIaajJ0H27NnDkiVLeOutt0hOTmb06NG8/PLLzJ8/n8zM+rNM/fv354svvuDyyy+nT58+jB8/nqeffppvvvmGysratU0RERHExMQ4LwEBUjMqhDiDw07ntY9xQ2EhAB+Eh1J9CC8f3MJH7V4IL/Tn5/lXsdtfwaqq3F+wt90n9K6//nqef/55Hn30UQYPHsz27dtZsmSJs7Fpeno6x49XH8CNHDmSjz/+mDfffJNBgwbx+eefs2DBAvr37+/c5v777+eOO+7g1ltvZdiwYRQVFbFkyRLfPaYoK4CcXdptV60EiUoEk0X7AlhwrMnNd5/azf7T+/Ez+XFZ78ta95pFshKkPbvqbG0Fw4ojK8gvz69/o4Cw6qa43rIaxAsmw7Q5wdgaRzY0sUJA1f5v0JulCsP0Du/NeV3Pw67aWXigBccErhqT63BAXtV0mI6aBNm4cSMRERG1uqmnpKRgMpnYtGlTs/eTn59PWFgYFoul1v233347Xbp0Yfjw4cybNw+1kbMThndqF0IYo+qD+7qCIvwdDnb5+/NRaAhZZnPVBvLBLXzM7oXaCqaCTP4TrpVZjC8uIaboRIdY2TRr1iyOHDlCeXk5mzZtIjm5+ov+6tWreffdd2ttf+2117Jv3z7Ky8vZuXMnkyfXbiKoKApPPPEEWVlZlJWV8d133zlXe9SnZ8+eqKrK4MGDXfljuc6xrVqtfkRC9Zm9trL4Q5eq96QZfUH0L2kTEiYQ7h/eutfUkyAyGaZdSopM4pxO51DhqGDRwUUNb+htE2L0chiDJsMczDvI9hPbMStmruhzhedeuCi76W1asp1wK30K05e/ftno9+Na9OaoBW1MghQe1yZ7mSwQ1q1t+3IztyVBsrKy6Nq1dkMri8VCZGRkg+PsznTy5EmefPLJOiU0TzzxBJ9++inLly/n6quv5s9//jMvv/xyg/sxvFO7EMIYVR/InRwOBpRr4xb/1iWS1Pg4vgwJrrOdEF7NuSRZZV54KGuCtIkby4KD+DKkqtRLVjZ1bK7uB6Jz9gXZ0ehmpZWlLD6k9U3RJxW0ivQEadcURXH2s2j0i5q3TYipWQ5jAD3BOKb7GKKCPJggbO6/Q/n36hVSe6YSbA0mozCDH7N/bN6TXFUOo5fChMeDydzopkZrcRLkwQcfrLcxac3L3r0tmyVfn4KCAi699FKSkpJ47LHHaj32yCOPMGrUKM477zweeOAB7r//fv7+9783uC/DO7ULIYxR9YGcZTazNcDfebdDUXi8S2T1ihD54Ba+oGplU5bZzL86RThr0lXn77NJVjZ1dM4kiIv6geicfUEaXwmy/MhyimxFdAvpxrCYYa1/PT0xHSLTYdqrS3tfip/Jj/2n97P71O76N/K2CTEGlsPY7Da+OfgNAFf19WBDVICEkVXlEg2V3yjaWf+EkZ6MSjQgyBrEpJ6TgBY0SHVVOYyP9AOBViRB7rnnHvbs2dPopXfv3sTExJCTU7shS2VlJbm5uQ2Os9MVFhYyadIkQkND+eqrr7BaGx/5l5yczNGjRykvL6/3ccM7tQshjFH1wZ1utaKeUTvrUBQyrFb54Ba+o+qL4U4/vzpN+bTfZ0ut7UQH47DD0aqzfm5bCdJ4EuSL/V8A2tQKk9KGxcZFJ7RrKYdpt8L9w0lJSAHgi1+/qH8jb5sQY2A5zOqjq8ktyyUqMIox3cd49sVNZpj0t6o/nJkIqfrzpGe9/sx/R6KvxFt+ZDkFFc1oA6GvBGlrOUx7ToJERUWRmJjY6MXPz48RI0aQl5fH1q1bnc9duXIlDoejVg3vmQoKCpg4cSJ+fn4sXLiwWc3Jtm/fTqdOnfD3929yWyFEB1L1wd3DVonpjOW2JlUl3lYpH9zCd1StWNoSUPezzvn7XGM70cGc2AvlBeAXAl1bMZa2MTEDtOtTB6CiuN5NDucfZlvONkyKqW39ChwOKYfpIPSSmG8PfUtpZWndDbytJ4izHMbzK0H0M/pT+kzBYrI0sbUbJE2B696HsNja94fFafcnTfF8TKJB/bv0p29EX8rt5Sw+uLjpJ+gjcouy21ZS256TIM3Vr18/Jk2axC233MLmzZtZv349s2bN4oYbbiAuTnujjx07RmJiIps3a+Pc9ARIcXExb7/9NgUFBWRlZZGVlYXdrv2FfPPNN7z11lvs3LmTtLQ0XnvtNf76179yxx13uOtHEUL4sqQpxFz9DnOLHbUSIcNKy4m54t/ywS18R8JICsNi+SY0BACl6vfZpKrMPZlLjN0hK5s6Mr0UptsQMLv4S1JIVwjuCqiQs6feTb5K+wqA0d1GEx3chuRFWR44qhJ6shKkXRsWM4zuId0pshWx/Mjyuhvo5TCludWrMIzkLIeJ8OjLZhVnsSFTK3PUR6AaImkKzN4JMxbB1W9r17N3yHGUF1IUxbkapFklMSFdQTGBatfGUreWJEE0H330EYmJiUyYMIHJkyczevRo3nzzTefjNpuNffv2UVJSAsC2bdvYtGkTO3bsoG/fvsTGxjoveh8Pq9XKq6++yogRIxg8eDBvvPEG//znP5k7d647fxQhhC9LmsJVt+1g6QV/5UrrBQD8HODHiTzpDyR8iMnMfzolUGg20bvCxtKMTOYdz2ZpRiZXFWmfo7KyqQPL0E4oubwURufsC1K3OarNYePrtK8BF/Qr0Mu5AjuBxa9t+xJezaSYnF/q9VKqWvxDqqdWnPKC5qgGlcMsSFuAQ3UwNHooCWEJHn3tOkxm6DUGBlyjXcvnjde6rPdlWE1W9uTuYc+p+pPXTiZz9cq7tvQFkSSIJjIyko8//pjCwkLy8/OZN28eISEhzsf1UXNjx44FYOzYsaiqWu+lZ8+eAEyaNImffvqJwsJCioqK2L59O3/84x8xmdz6owghfJ3JTEziFOZc8xqdy8MpM5l4b8c7YK80OjIhmqW0JJcF6lEAphdUEGu3M6ysnBi7XZYkC/dNhtE10hdk3dF1nCo7RWRAJBfGX9i213GOx5WmqB3BFX2uwKSY2JazjcP5h+tu4CyJSfNoXPUyoBxGVVUWpC0AqsuHhGiOiIAIJvSYADRzNUhbx+RWFFeXMnb0JIgQQnibQD8LyXF/AOCLIMjf+ZnBEQnRPG8tvp/TZhPRNgejbtoiS5JFtaITVWNEFeg+1D2vofcFqWdCzLeHvgWqzzy2ib4UWybDdAjRwdGMiBsBwJLDS+pu0LmqJMYbmqPqK0E8WA7zy8lfOFZ0jCBLkLORrBDNdUVfrT/TsiPLqHQ0cdJPT4IUZrbuxU4f0a4DIgwbI90SkgQRQnQ4cybcSGRFIEUmE+//8E84o2mqEN7GVlHM1/kbAUg2DSOmc2dZkiyqHa0qhenaz30Hn86VILtq/Z9ZVlnG6qOrAZxjGdtExuN2OPrvzdLDS+s+6E3NUfWeIB4sh9Hfk7HxYwm0BHrsdUX7kBybTLh/OLlluWzN3tr4xnrT28Ks1r2YD5XCgCRBhBAdUESgP4MjbgDgc2sxJYfWGByREI376NuHyLaY6FTpYObkZ40OR3ib9B+06/jh7nuNLmeB2Q8qCiHviPPudcfWUVpZSlxwHP279G/76xTJZJiOZlz8OCwmC2l5aRzMO6P3h7eMyXU4oCxfu+2hchiH6nA2jJ3Yc6JHXlO0L1aT1VkSs+zwssY3bms5jCRBhBDC+z2U+kcibBZyzWY+WvOU0eEI0SBHZQWfnVgBwFBHf3rHxBgckfA67m6KCmC2QlSidrtGSYx+pnpiz4koitL213H2BJHJMB1FuH84I2K1kpilR85YDeJcCXLQ2FWb5flA1et7aKn/Lyd+Ias4iyBLEKO7jfbIa4r2JzUhFYDv0r9rvCTGWQ4jSRAhhGi3osOC6R84GYBPHcewndxncERC1O/L7x4j3aoQYndw08WyCkScobIcMn/SbrszCQLVfUGqmqOWVZax5qi2km5igovOVBfLSpCOSF/pUOdsdWQv7bo8H0pOeTiqGvRSGGsQWPw98pLLjmjvxdj4sfibPfOaov0ZFjuseSUxYZIEEUKIDuHeifcSVqmQZbHwybKHjQ5HiDpUeyX/zfgGgPNtfRnYs5fBEQmvc/wXsJdDUGeI7O3e14quPSbX5aUwID1BOqgGS2KsgRDWXbttZF8QfTKMh/qBSCmMcJVml8Q4y2Fa2xj1sHYtSRAhhPBufaI6ca5pFADzS3ZiLz5pcERC1LZ0zXPs94MAh8pvLnra6HCEN6o5GtcV5SiNiak9JtflpTCgTboBSYJ0MI2WxHjDhBgPT4aRUhjhSs0qidGTIGV5YCtt2Qs4HNW9oiQJIoQQ3u/2ix8l2A5HrBYWLH/U6HCEqKaqfHBgPgCDy7szKtFFZ9pF++JMgrixKapOXwly+jClRTmuL4VxOKpH5AZLEqSjabgkxgsmxOjlMB5qiiqlMMKVmlUSExCulXtBy0tiirKhsgwUM4R3b1uwHiJJECFEhzaoeywD7OcC8PGJNai2coMjEkKzbsOr/OKnYlFVrhr+uNHhCG+kqrVXgrhbUCSEdQNg3d7PXF8KU3wCVLt2+8RecNhds1/hExosifGGCTH6ShAPlMM4VIczEZTaM9XtryfaP6vJSkqPFKCBUdSgrSQMrWq83tIxuXopTHh3rYm2D5AkiBCiw5t+0RMEOFT2+5lYsvoZo8MRAlSVd3a9DcDA0q5MOs8DZ/mF78lL187AmawQd55nXrNqNciyDG1ikctKYXYvhNdrLPv/YCq80F+7X3QIDZbEeMNKEL0niAfKYX458QvZJdkEW4MZ1W2U219PdAz6ir0V6SsaKYmJ065b2hfEx/qBgCRBhBCCMWefzaCyBAA+OPylsWP4hAC2b3ufzf6VmFSVyQMfcl2/BdG+6KtAYgdpDSQ9IaY/pYrCmgLtC6lLzlTvXgifTq+eDKMrOK7dL4mQDkP/fapVEuNcCWLgmFwPlsPoZ+qlFEa40rDYYUT4R5BblsuP2T/Wv5FzJUgLy2EkCSKEEL7p6uRHsaoqO/xU1m560+hwRAf31raXAUgq7cS1IyYYHI3wWp4shdFF92ddYAClOOgW0o1zO5/btv057LDkAaC+L7dV9y15UEpjOohxPeopienUExQTVBRBUU6jz3cbD5XD1JoK46peO0LQzCkxzjG5rSyHkSSIEEL4lknnDee8ks4AzNv5lsHRiI5s/84vWGstA2D8WXdhMskqENEATzZF1cUMYFmw1jzv4h4T2r5K6ciGJpZeq1BwTNtOtHthfmF1S2Is/tXNFo3qC+KhchgphRHu1GRJTGvH5EoSRAghfJOiKEw+915MqspWaxnb9nxjdEiig3pz43OoisI5JSHMGDvV6HCEtyovhOxd2m0PrgQpDYtlTZCWBEnt5IKGqEXZrt1O+Lx6S2KM7gvioXIYKYUR7tRkSUxoK1eC+Nh4XJAkiBBCOF055jKGlmh19a9t/LvB0YiO6OivS1lhLQZgVMJt+FnkY1rUw2GHre+C6tBGyYZ4bpzsuuMbKTUpdLNVcm5Zadt3GBLt2u2Ez6tZEnMgryrp0bmvdm3UShA9CeLGchgphRHu1mRJTFhVY9TCFqwEsZVW9xCRJIgQQvgek0lhXMItAGwy5bI3Y7PBEYmO5s21T1KpKPQuDeBPKdOMDkd4o90Ltakpyx7W/lyc49EpKvqZ6onFJSj6SpS2SBgJfsGNbKBoY3kTRrb9tYRPCPMLY2Sc9vft/KLW2eCVIM5yGPetBJFSGOEJE3tqCbbvjnxXtyRGb4xacLz5TYjz0rVr/3CPNA52FUmCCCFEDddNnMnQEgVVUXhl1VyjwxEdyMkj6/nWpDXfG9b1JgL9zAZHJLyOPkXlzHptD01RKa0sZe3RtYCWBCF7Z9t3emAlVBQ38GBVv5FJz4JJ/j10JPpKiGVHqpIghpfDVDVGdWNPECmFEZ4wPGY4Ef4RnC4/XbckRi+HsZdX/843xdkPJAF8aJKdJEGEEKIGP6uZizpfBcA6RwYZRh1wiQ7nPysfocxkIr7MyqxJtxgdjvA2XjBF5fuj31NaWUq3gM6cW1EBWW1MghSdgAV/1m6fNbF6KbYuLA6uex+SprTtdYTPqVMSU3NMrsPh2WDsNm0yDbitHMahOpwJn9QEF4ydFqIBFpPFWRKjJ96qH/SHwEjtdnPH5PpgU1SQJIgQQtRx/ZQ5DC61Y1cU/rXsIaPDER1AQeZPfKNqjR8HRlxLRJCfwREJr+MFU1T0L2kTe6ZqazQKjkJJbut2pqrw9e1aOU/XJLjuA5i9E2Ysgqvf1q5n75AESAdVpyQmogcoZqgsbf6XM1cpy6++HRDulpf45cQv5JTkEGwNZmQ3Kf0S7qWXxKw4Us+UGGdfEEmCCCFEhxIY4M+FgRcBsKZsFyeLTxgckWjv3vnuIQrNJqIrzMy+5E6jwxHeyOApKrVKYfpcDhEJ2gOt7Quy5S34dSmY/eHqt8AaoJW89BoDA67RrqUEpkPTS2KWHl4KZqu23B483xxVLwvwDwOzxS0vIaUwwpNqlsRsydpS+0HnmFxJggghRIdz7eVPkVRmo8Kk8K+lDxsdjmjHyk7u58tKbbxc/4BLiQkLMjgi4ZUMnqLiLIUJ6ca5nc+FmAHaA63pC5Kzp7qx68VPQPS5rgtUtBt6ScyB/ANaSYxRfUHcPBlGSmGEp9UsiXH23dHpzVFbvBIkwTXBeYgkQYQQoh4RkZ0ZpwwEYHn+BgrKCwyOSLRXHy59gFyzmc42hf+b9IDR4QhvlTCyaplyQ43n3DtFxVkKkzARRVEgur/2QEv7glSWwxd/gMoy6JsCyX90caSivahTEuPsC+LhJIhzMkyEW3YvpTDCCA2WxLSkHEZVayRBerk2QDeTJIgQQjTgqkueok+FjVITvLTyb0aHI9ohW146n5TtBeAc8wR6R4UZHJHwWiYzTNL/HzozEeLeKSo1S2FSe1adqY6pSoJk72jZzlY8oa0eCeoMV/zbp6YJCM/Tf9+WHl5aYyXIQc8G4ebJMHopzLj4cVIKIzymwZKYmmNym1J8AmwlgALh8W6J010kCSKEEA3oGn82E23dAVic9T9KK0sNjki0N18svZ8si4WwSrh9ojThFU1ImqJNSwmLrX2/m6eo1CyFSeqcpN2prwTJ2Qv2yoafXFPaCtj4inb7in9DqHtKd0T7MTZ+rLMkJi0wULvT4z1B8rTrwE4u33XNUhi9B4oQntBgSUxoC1aC6KtAwruDxbcauksSRAghGjHlorl0s1VSaLLz+vrXjQ5HtCP2wiw+LPwZgLMdIxjYLcrgiIRPSJri8Skq+pnqiT2rSmFAa4zqFwr2cjj1a9M7KT4FC27Tbg/7A5wzyU3RivYkzC+MUXGjAFhWnK7dmXvIs2Ny9ZUgbugJ8vOJn8kpySHEGiKlMMLj9JVWtUpi9CR7S5IgPtYUFSQJIoQQjep+7hguLwkF4MuDH2Kz2wyOSLQXi5c/xBGrhSA7zBz3iNHhCF/iwSkqJbYSvj/2PXBG00aTqbqhaVN9QVQVFt6hTa7pcg5c/KSbohXtkd67YFn2ZjBZtcRbwVHPBeDGniDLDmtn4GUqjDDCsJhhdPLvVLskRp8OU5QDTR3z+mhTVJAkiBBCNGnSkLuIqqwkz1TBe9v+a3Q4oh1Qi0/x/smNAPSxDWZ0X9+qpRUdx/fH6imF0TW3L8jWd2Df/8Dsp43D9ZMJSKL5qktiDpLWuYd2pycnxLipHMahOpxJECmFEUawmCyM7zEeqF7xR1AXMFkAVUuENEZWggghRPvVZ8T1XFWk/Xf50c7XsDvsBkckfJbDDoe+Z82XN7PX34K/Q2XaSFkFIryX80tazVIYXXNWgpzYD0uq+t1MmAuxA90QpWjPapXEhIVrd3qyL4ibymF+PvEzOaVSCiOMpZfErExfqZXEmEwQ0swxuT46GQbcnATJzc1l2rRphIWFERERwcyZMykqKmr0OWPHjkVRlFqXP/3pT7W2SU9P59JLLyUoKIiuXbty3333UVnZzKZcQgjRUiYTKWfdTJjdzklTEZ/v+Z/REQlftHshvNAf3ruMd4v3AHBlYTmTzXsMDkyI+jVYCqOLHqBdZzeQBKkshy9mQmUp9B4LF/zZPYGKds9ZEqOUaXd4ckKMm8phpBRGeIN6S2Ka2xdEVoLUb9q0aezatYvly5ezaNEi1q5dy6233trk82655RaOHz/uvDz33HPOx+x2O5deeikVFRVs2LCB9957j3fffZdHH33UnT+KEKKDS0z5M9cWVADw1ua/smn9c2TtXaid2ReiKbsXwqfToSCT7wID2RoYgEVVmZmfi/LpDO1xIbxMo6UwANFJgKL1+ig6UffxlU9B1i8QGAlTX9fOMArRCmPjx2I1WTlgLyLNavXwSpA87dqF5TA1S2GcY6eFMIDFZGFCgjYlxlkSo/cFaWxMrq0MCjK125IEqbZnzx6WLFnCW2+9RXJyMqNHj+bll19m/vz5ZGZmNvrcoKAgYmJinJewsDDnY8uWLWP37t18+OGHDB48mEsuuYQnn3ySV199lYqKCnf9OEKIjs4viMtCB2F1OMgyFfOHtA9I/eEhvnxtgHyBFY1z2GHJA4DKlyHB3BXdBYBKYENg1dm/JQ9KQk14nUZLYQD8giGyt3b7zL4gB1fDhpe021NerjvWV4gWCPMLY2ScVjKyLDjIwz1BXF8OU6sUJk5KYYSx9J40K9KrpsSENmMlSH4GoIJfCAR1dn+QLua2JMjGjRuJiIhg6NChzvtSUlIwmUxs2rSp0ed+9NFHdOnShf79+zNnzhxKSkpq7XfAgAFER1fPlk9NTaWgoIBdu3a5/gcRQgiA3QsJzlxNZY0vAg5F4fFgE1lf3CyJENGwIxugIJMss5nHukSC/jukKDzeJZIsswkKjmnbCeElSmwlrD26FmjiTLXeHLVmX5CSXPiqqpR5yE3Q7zL3BCk6FP33cGlwkLYM3+6hUnhnOYzrVoLoZ9zHxY/Dz+znsv0K0Rp6SUxeeR6bszY3rxymZilMfUlyL+e2JEhWVhZdu3atdZ/FYiEyMpKsrKwGn/eb3/yGDz/8kFWrVjFnzhw++OADfvvb39bab80ECOD8c0P7LS8vp6CgoNZFCCGarepMfobVjHrGf/QORSHDapEz+aJhRdkApFstDf/+1NhOCG/w/bHvKbOXaaUwkfWUwujO7Auij8MtPA6dz4LUv7o/WNEh6CUxB/2spJmpOhPtZrZSqKzqQ+KiniAO1cHyw8uB6l4nQhipZknMssPLapTDNFK94cP9QKAVSZAHH3ywTuPSMy979+5tdUC33norqampDBgwgGnTpvH+++/z1VdfceBA65e9PfPMM4SHhzsv8fEyilAI0QJVZ/J72CoxqWqth0yqSrzNJmfyRcNCtET9CbO5zkPa709lre2E8Ab6merUnqn1l8Lo9JUg6Ztgx+ew/FHYuwhM1qpxuMEeiFZ0BKF+oc4pMUs9VRKj9wNRTOAX6pJdbs/ZLqUwwuvoK61WpK/AFly1kKGw4YULHS4Jcs8997Bnz55GL7179yYmJoacnNqzhSsrK8nNzSUmJqbZr5ecnAxAWloaADExMWRn1z5bpv+5of3OmTOH/Px85yUjwwOZYyFE+1F1hj7GbmfuydxaiZDJRcXE2O21thOiloSR2EOimReu9bdSqn5/TKrK3JO5xNgdENYNEuRgWHiHElsJ3x/VpsI0eaZaXy6dd1ibBKP3Ael/FcQNdluMomNyTokJDkI9leb+F9RLYQIiXNbYd9kRrdeOlMIIbzI0eqizJGaL7ZR2Z3PLYXyQpaVPiIqKIioqqsntRowYQV5eHlu3bmXIkCEArFy5EofD4UxsNMf27dsBiI2Nde736aefJicnx1lus3z5csLCwkhKqn+5pr+/P/7+MnpKCNFKNc7QX1VUzMjSMuaFh/Lf8DA2BAVSrCgEq6qcyRf1M5n5slM0+y15hNodvHs8m3yziXhbpZYAAZj0LJjqrhQRwghrj61tXinM7oWw6O76H/vlU0i8DJKmuCdI0SGNjR+LFZNWEpPzM2e5+wX1pqhSCiPaOb0k5vP9n7Ps5E+MBCgvgPIi8A+p+wQfT4K4rSdIv379mDRpErfccgubN29m/fr1zJo1ixtuuIG4uDgAjh07RmJiIps3bwbgwIEDPPnkk2zdupXDhw+zcOFCpk+fzoUXXsjAgQMBmDhxIklJSfzud7/j559/ZunSpTz88MPcfvvtkugQQrhHwkgIiwO0JeExdjv35eaRYLORazZrZ/jlTL5oQEnGD7zOSQCm51dwts3GsLJybQVRWBxc9758URRepebozgZLYWpMPWqQ9EoSLhbqF8qo0J4ALMvb7f4X1MthXDQZRkphhDdzlsQc+x6bXv5VX0mMqkoSpDEfffQRiYmJTJgwgcmTJzN69GjefPNN5+M2m419+/Y5p7/4+fnx3XffMXHiRBITE7nnnnu4+uqr+eabb5zPMZvNLFq0CLPZzIgRI/jtb3/L9OnTeeKJJ9z5owghOjKTGSb9reoP2hcCK3BXbh4A74eHcnz8g3ImX9Slqry97B5yLBYibGYGT1kNMxbB1W9r17N3SAJEeJVml8JU9UpqmCq9koRbTIwbA8CyylxUtZEknCu4eDKMlMIIb1arJCZC7wtSz//zJaegoghQINw3e222uBymJSIjI/n4448bfLxnz561/vOKj49nzZo1Te43ISGBxYsXuyRGIYRolqQp2hn7JQ84D/zHl5RyflkZ2wICmJu+iTcHTzc4SOFtTu76gg9MeYCJ3ubruKBPN6CbwVEJ0TC9FKZ7SPfGS2Ga2wNJeiUJFxt71hVY977LQbNCWu5ezurcz30v5sJymJqlMI2OnRbCIBaThZSEFD7b/xnLgv21kpj6VoLoq0DC4sAa4MEIXcetK0GEEKJdSZoCs3c6z+QrM77htyWRAPyQu5ZdJ/cYHKDwKg47L65/klKTieiyIOZe9n9GRyREk/RSmIk9JzY+Faa5PZCkV5JwsdDIvowqqwBg2b7P3ftiejmMC1aC1CyFGRE3os37E8Id9BWAK5QybFD/ij8fL4UBSYIIIUTLmMzQawwMuAZ6XciIKS9zSVExqgKPLJ/j/qW5wmfs3/gCC/21fggDOt1O76h6GosJ4UVqlsI0eab6jF5JdSnSK0m4h6Iw0RQOwNKjq937uVtzOkwb6WOnx/cYL6UwwmsNjR5KZEAkeWolWwIDGlgJcki7liSIEEJ0TCF9hnOZdRhWVeXXigOsOLza6JCEN6go5p8738ahKPQo7sLDk683OiIhmlSzFKZfZBMlBvX0SqpW9WeZeiTcZGzYWVhVlUOlOaTluXFUrovKYRyqg+VHqqbCJMhUGOG9LCYLE3pMALRR1PX2BJGVIEIIIZKv+xfX5WsNnp9d+yiVjkqDIxJGW7fiL6wPMGNWVUb3fpjOITK9THi/ZpfC6PReSWGxte+XqUfCzUK7nM2oklKgeoWFW7ioHOannJ84UXpCSmGET9BLYr4LCsRWbznMEe1akiBCCNFx+UfEMT72RsLtdrLJ44PtHxkdkjCQvTCLfx3VDsp7FvXlrgljjQ1IiGZoUSlMTWf0SpKpR8IjIvswsVg7+bDsyDL3lcToK0HaWA6jJxilFEb4gqHRQ4m0hpJvNrOltJ7m1rISRAghBMCwKx/hN/na7f/8/CIlthJjAxKG+erbO9nvZyHIDlcNfZIAq5QDCO+39mgLSmHOVKtX0hgpgRHu17kPY0tKsapwKP8Qv+b96p7XcY7IjWj1LqQURvgai8nChG7aKOqlSgk4HNUPVlZA/lHttiRBhBCiY1OsAVw0+CHibTYKTTb+9f1zRockDFCavZPXCncAEF96AdOG9zc4ovbl1VdfpWfPngQEBJCcnMzmzZsb3f6zzz4jMTGRgIAABgwYwOLFi2s9rqoqjz76KLGxsQQGBpKSksKvv1Z/mTp8+DAzZ86kV69eBAYG0qdPH+bOnUtFRYVbfj4jLTuinalO7ZnavFIYIYwU2YdQVWVUqVYSo6+0cDkXlMPopTCh1lAphRE+I7WvtppvRZA/tuKc6gfyMwAVrEEQHGVMcC4gSRAhhHCRc8dO49oibWTul+lfkl1czxJC0a7NW3InORYznWwm/pzyGGaTfJl0lU8++YS7776buXPnsm3bNgYNGkRqaio5OTn1br9hwwZuvPFGZs6cyU8//cTUqVOZOnUqO3fudG7z3HPP8dJLL/H666+zadMmgoODSU1NpaysDIC9e/ficDh444032LVrF//61794/fXXeeihhzzyM3tKzVIYvRZcCK8W0hX8QplYVAy4qSRGVV1SDqMnaMb1GCelMMJnDIlNJtKhaiUxh7+rfqBmKYwPJ8wlCSKEEK6iKIyf+CKDysqpUFSeXvag0REJDzqZtoz3HdoouQR1KuPP6WZwRO3LP//5T2655RZuvvlmkpKSeP311wkKCmLevHn1bv/iiy8yadIk7rvvPvr168eTTz7J+eefzyuvvAJoq0BeeOEFHn74Ya644goGDhzI+++/T2ZmJgsWLABg0qRJvPPOO0ycOJHevXszZcoU7r33Xr788ktP/dgeoZfCxIfGt7wURggjKAp07s24klL8FIt7SmIqikDVxpy3thymZilMi3rtCGEwi8lCikNr6r706KrqB9pBPxCQJIgQQrhUQtIwLrEPBGB1/o/sPbHb4IiER6gqL63+CyUmE7Fl/jx46V1GR9SuVFRUsHXrVlJSUpz3mUwmUlJS2LhxY73P2bhxY63tAVJTU53bHzp0iKysrFrbhIeHk5yc3OA+AfLz84mMjGzw8fLycgoKCmpdvJ1eCjMxoZlTYYTwBpF9CFFVRgZpCWeXl8TopTBmP23pfyvUKoWJlVIY4Vsm+muTv1ac+gWbw6bdqSdBIhKMCcpFJAkihBAulnrNy4wvKkdV4IlldxsdjvCAtK3/YaFFq00/J/hWzo2LMDagdubkyZPY7Xaio6Nr3R8dHU1WVla9z8nKymp0e/26JftMS0vj5Zdf5o9//GODsT7zzDOEh4c7L/Hx8Y3/cAYrsZWw9uhaQEphhI/p3AeAiQQD2qhcl5bE1CyFaWVyUB/fO67HOKxmq4sCE8IzhoT1ItJuJ99exubjVT24ZCWIEEKI+nTpGsuYkCuxqCo7Ko+xOm2J0SEJd7LbeH7by9gVhZ5FEfzl8ulGRyTc4NixY0yaNIlrr72WW265pcHt5syZQ35+vvOSkZHhwShbbu3RtZTby6UURvieSC0JMq64CD+TH4cLDru2JMY5GaZ1TVHtDjvfHdF6KUgpjPBFlrDupNQYRQ1IEkQIIUTDJl/3GJdWrYJ/bt1c7A67sQEJt9m4+nHW+4NZVRkWP4eY8ACjQ2p3unTpgtlsJju7drPh7OxsYmJi6n1OTExMo9vr183ZZ2ZmJuPGjWPkyJG8+eabjcbq7+9PWFhYrYs3089USymM8DlVK0FCTh1iZLeRQPXvs0voK0Fa2Q9ESmGEzwuLZWJVEmRF+gps9gpJggghhGhYUGAgI3vfTZjdToZSwidbXjM6JOEGjtI8/nFQa5LZuzCBuyZebHBE7ZOfnx9DhgxhxYoVzvscDgcrVqxgxIj6v1yMGDGi1vYAy5cvd27fq1cvYmJiam1TUFDApk2bau3z2LFjjB07liFDhvDOO+9gMrWfQ6cSWwnfH9OmwsiZauFzqlaCUHCM1O7jAK0viMtKYvSeIK2cDKOfOZdSGOGzQmMZUlZOpKqQX57P5iMrobzqDF9ED2Nja6P280kuhBBeJnXyzaQWRADw+u7/UGIrMTYg4XILlt7FPj8zQXaVSYMeJzRADnTd5e677+Y///kP7733Hnv27OG2226juLiYm2++GYDp06czZ84c5/Z33nknS5Ys4R//+Ad79+7lscce48cff2TWrFkAKIrC7Nmzeeqpp1i4cCE7duxg+vTpxMXFMXXqVKA6AdKjRw+ef/55Tpw4QVZWVoM9Q3xNzVKYxMhEo8MRomWCIiEgHICxwfGuL4lpQzmMQ3VIKYzwfaGxWICU0goAlh34Rrs/JAb8Wtcs2FtIEkQIIdzEbFIYN/LvdLNVctrk4N/fPWR0SMKFynIP8u9TmwDoWXw+N4863+CI2rfrr7+e559/nkcffZTBgwezfft2lixZ4mxsmp6ezvHjx53bjxw5ko8//pg333yTQYMG8fnnn7NgwQL69+/v3Ob+++/njjvu4NZbb2XYsGEUFRWxZMkSAgK0kqbly5eTlpbGihUr6N69O7Gxsc5Le7AyfSUAKQkpUgojfI+iOFeDhOQfZ2ScVhKj/163WRvKYXac3MGJ0hMEW4O5IPYC18QjhKeFap91F+fnArA6Zyt28PlSGJAkiBBCuNXoYSO5qEQ7w/pJ1necKMw0OCLhKvOW3EG2xUykTeF3Fz2B1Swfqe42a9Ysjhw5Qnl5OZs2bSI5Odn52OrVq3n33XdrbX/ttdeyb98+ysvL2blzJ5MnT671uKIoPPHEE2RlZVFWVsZ3333H2Wef7Xz8pptuQlXVei++zma3OUthxsePNzgaIVqpqi8IuQcY10MriXFdEiRPu25FOYwew5huY/Az+7kmHiE8LSgSzP4MKSsn1BpMbmUxP/v7SxJECCFE4xRFYcplL5JUVkmZSeG5xbOMDkm4wKn0DbxffhiABFsqlw5IMDYgIVpoS9YWimxFdA7ozMCogUaHI0Tr6H1BTh3gou4XoaCwJ3cPWcUuKFlrQznMqoxVAIzvIQlG4cMUBUJjsAIXRmqrKFcFBUoSRAghRNPO7d2DYYpWE7ysdD/7jm0yOCLRVi+tuI9ik4luZVbunPyglBIIn7MyQztTPTZ+LCZFDgeFj3KuBDlI58DODO46GHDRapBWlsMcyj/EofxDWEwWRncb3fY4hDBSVUnMuGDtZM/K4EDUCN8/8SOfekII4QE3XvMUyUXgUBSe+e5eo8MRbXBwx3y+VvIB6OM/gyEJnQ2OSIiWcagOOVMt2ocaK0GgurRL//1uE70cpoUrQfTXHh4znFC/0LbHIYSRwrQkyGhzGFYV0q1WDvr7GxxU20kSRAghPKBbZAiDIv+ERVXZSh7f7/jQ6JBESzjscOh7+OVTnt/4NHZFoU9RCA9cfovRkQnRYrtP7SanJIcgSxDJsclNP0EIb9W5t3ZdlAXlRc6+ID9m/Uh+eX7b9q2Xw7SwJ4i+CkV67Yh2oWolSHBBNheUlgGwsviIkRG5hCRBhBDCQ2ZceSsjCkIAeH7LP7AfXA07Pte+XDvsxgYnGrZ7IbzQH967jC2LZ/G9P5hVlUuDJtCjs2+PiBMdk/4lbVS3Ufibff+MnujAAjtBYKR2O/cgCWEJ9AnvQ6Va6Wz822qtKIc5WXqSX078AmilZkL4vKokCEe3MK6kGICV2ZsNDMg1JAkihBAeEhZgZfg5jxNqd3DQXMnCL38DX8yE9y7TvmTvXmh0iOJMuxfCp9OhIBMH8HxkBADXFBbxhyOvyN+Z8ElSCiPalRoTYqD693pVehtKYhx2KCvQbregHGZ1xmpUVPp37k90cHTrX18IbxEWp11n/sS4klIUFXae2kV2cbaxcbWRJEGEEMKDpnUr49Y8bYnui53CWRsYQJbZDAXHtS/b8qXaezjssOQBQBuH+t/QEHb7+xPocHDb6XwUgCUPyioe4VPSC9JJy0vDolgY022M0eEI0Xad+2rXVX1BxsVrJTHrjq2jwl7Run2W5aP/39+Schh9lZVeliOEzwuN0a4dNrrYHQxUAgEt4efLJAkihBCe4rBjXfYgNxYUElFp55TFwu0xXUmNj+PLkKqyCvlS7T2ObICCTAA+CQ3h2c7a2cAyRWFNUCCgQsExbTshfIS+CmRIzBDC/cMNjkYIF4isnhADcG6Xc+ka2JWSyhI2HW/lNDa9H4g1CCx+zXpKsa3Y+XrSD0S0G3o5TJVxwfGAi5oPG0iSIEII4SlVX6pPm83km6v/+3UoCo93iSTLbJIv1d6kSFvqmWU283TnTlA1Bld1/n2Za20nhC+Qpo2i3dGbo1atBDEpJudKDH0UdIu1YjLM+mPrqXBU0CO0B30i+rTudYXwNmckQcZHnQ/ApqxNFFYUGhGRS0gSRAghPKXqy3K61YJa9YVa51AUMqyWWtsJg4Vo9dzfBgc2/vcVInXfwjecKj3FTzk/AdUlA0L4vMjaPUGg+vd7dcZqHKqj5fvUm6K2pBSmKuEyLn4cyhmfGUL4LL8g8A9z/rEX/vQM60mlo5J1x9YZGFjbSBJECCE8perLcg9bJSZVrfWQoqrE2yprbScMljCS3JCuvBNet2TApKrE2+wQ1g0SRhoQnBAtt/boWlRU+kX2IzYktuknCOEL9MaoxSeczUyHxwwnxBrCydKT7Di5o+X71MthmrkSxOawsfboWkAaDot2ZvdCsJVU/3nVk4zP1krP2tR82GCSBBFCCE9JGAlhccTYHcw9mVsrEaIqCvv9rPKl2ouotlL+EubHaYuZqMrqxJVJVZl78jQxdjtMehZMZoMjFaJ5nKUw8iVNtCf+oRDcVbtdtRrEarY6G//qv/ct4iyHiWjW5luzt1JYUUhkQCSDoga1/PWE8Eb6hDxHZa27x58+AcDa9JWtbz5sMLcmQXJzc5k2bRphYWFEREQwc+ZMioqKGtz+8OHDKIpS7+Wzzz5zblff4/Pnz3fnjyKEEG1nMsOkvwFwVVEJSzMymXc8mysLtP8XH47qzIkxs+VLtZf4cMFvWedvws+h8lxOhfPva2lGJleZwuG69yFpitFhCtEsJbYSNh7fCEgpjGiH9NUgp2qUxOh9QVqVBGlZOYz+Ghd1vwizfIaL9uCMCXk1DSgvp0ulnWJHOVta23zYYG5NgkybNo1du3axfPlyFi1axNq1a7n11lsb3D4+Pp7jx4/Xujz++OOEhIRwySWX1Nr2nXfeqbXd1KlT3fmjCCGEayRN0b48h8USY7czrKycv+TmcnZ5BafNZh7YPQ+HTIcx3L5Nr/Cv0jQA4vJG0OO2X4j57dcMu/TfxPz2a5i9QxIgwqdszNxIub2cbiHdOLvT2UaHI4RrRdZNgozuNhqLycLhgsMczD/Ysv05y2EimtxUVVXnpAxZZSXajRoT8s5kAsaWaCUyq3b/14NBuY7FXTves2cPS5YsYcuWLQwdOhSAl19+mcmTJ/P8888TFxdX5zlms5mYmJha93311Vdcd911hISE1Lo/IiKizrZCCOETkqZA4qXaB0xRNn4hXUlYupV0x1tsMRXzztI7mXnJK0ZH2WGV5uzmvh2vYrNa6FEUzp2pT9I1IhgixhgdmhCtpjdtHN9jvDRtFO1PZE/t+sBKraQ0YSShfqEMjxnOhswNrEpfRe8BvZu/P30lSDOSIHty95BVnEWgJZALYi9ocehCeKUmmvSPLynl87BQVp3czkOqA5PiW1023Bbtxo0biYiIcCZAAFJSUjCZTGza1LxlM1u3bmX79u3MnDmzzmO33347Xbp0Yfjw4cybNw9VrbtUR1deXk5BQUGtixBCGMpkhl5jYMA1KL0uZM60PzPstHZ29pXs1ew6sNTgADuoygqeXfg7DlkthFcqDIx9hpQkSbgL31bpqGTN0TWAlMKIdmj3Qtj4qnY74wd47zJ4oT/sXugcBa2v1Gg2vSdIM8ph9H2PjBtJgCWgZa8jhLdqokl/cmkZQQ4HObZCdp/a7aGgXMdtSZCsrCy6du1a6z6LxUJkZCRZWVnN2sfbb79Nv379GDmydpPAJ554gk8//ZTly5dz9dVX8+c//5mXX365wf0888wzhIeHOy/x8fEt/4GEEMKNokL9uWbSvzmvyEylonDfmvspKcs3OqwOZ/miW/nSWoGiqkQW/465l0uTWuH7fsr5ifzyfCL8Iziv63lGhyOE6+iNG/WVG7qC4/DpdMaWaU0bfznxCydKTjR/v/rnbzOmw0jDYdEuVTXzh/pXDvqhMNqm3W5V3x2DtTgJ8uCDDzbYvFS/7N27t82BlZaW8vHHH9e7CuSRRx5h1KhRnHfeeTzwwAPcf//9/P3vf29wX3PmzCE/P995ycjIaHN8QgjhauOTYunX9Um6VtrJMDt44uvfGB1Sh5L1y3wey90MQFxeP5677o8EWKXBnfB9+gHqhd0vxGJyWyW0EJ7VSONG/b7olc/Qv/O5qKisPrq6+ftuZjnM0cKj7D+9H7Ni5sJuFzZ//0J4uxrN/OsmQrQ/j+t3PdBBkiD33HMPe/bsafTSu3dvYmJiyMnJqfXcyspKcnNzm9XL4/PPP6ekpITp06c3uW1ycjJHjx6lvLy83sf9/f0JCwurdRFCCG9019TJnFuQiklV+V9ZOv/b9C+jQ+oQ7HnpPPDD4xSYzUSXBXDt0L+SGCOfFcL3SdNG0W410rhRo0LBMcaHak1TV6W3oCTGWQ7T+EoQ/d/W+dHnE9HMSTJC+IwazfxrCYuD695nzPA7sSgWDuQf4EjBEWNibKUWnw6IiooiKiqqye1GjBhBXl4eW7duZciQIQCsXLkSh8NBcnJyk89/++23mTJlSrNea/v27XTq1Al/f/+mfwAhhPBiAVYzs37zBPaPf2RtZB5P7n6bQb1T6R6VZHRo7ZfDzptf3cg2fwsBDoi1PsTvR/U1OiohXGL/6f0cKzpGgDmAkXFS3iXakSYaN+rGBXbjJeCH4z9QbCsm2Brc9JOaOR1GPwMuvXZEu3VGM39CorVSGZOZcGBozFB+OP4Dq9JXcVP/m4yOttnc1hOkX79+TJo0iVtuuYXNmzezfv16Zs2axQ033OCcDHPs2DESExPZvHlzreempaWxdu1a/vCHP9TZ7zfffMNbb73Fzp07SUtL47XXXuOvf/0rd9xxh7t+FCGE8Kizo0MZOfQ1EksdFJsU7lt8M5V2m9FhtVvbl93HG4pW/x2eO5l/XTdZpmeIdkP/knZB3AUEWgINjkYIF2qicaOuT5f+9Ajtgc1hY/2x9U0/wW6DiiLtdiM9QfLK8tiWsw2QJIho52o086fXGO3PVfTffX0Cma9w6yybjz76iMTERCZMmMDkyZMZPXo0b775pvNxm83Gvn37KKmaM6ybN28e3bt3Z+LEiXX2abVaefXVVxkxYgSDBw/mjTfe4J///Cdz5851548ihBAe9ZvR53KW6c+E2B3spIRXls4yOqR2qeDXpTxw7FvsikJ0fjceufxeuoTIqkLRfjhLYeKlFEa0M000btQoKLZSZylYs76o6aUwAAHhDW625ugaHKqDczqdQ/fQ7s0KWYj2Rv+3tT1nO6dKTxkcTfO5NQkSGRnJxx9/TGFhIfn5+cybN4+QkBDn4z179kRVVcaOHVvreX/9619JT0/HZKob3qRJk/jpp58oLCykqKiI7du388c//rHebYUQwlcpisK9025hZG4/AOblrGfL/oUGR9W+qEUneGLlXWRaLHSqsDCy51NcdHbTJZhC+IrMokz25O7BpJi4KP4io8MRwrWa0bgRVJh/A+MKtNV+a4+uxeZoYmWl3hTVP7zWGe8zOUthesgqENFxxQTHkNQ5CRXVOYrdF0jmQAghvFRksB9XXv4qowvMqIrCg+sfIb/kpNFhtQ+qyoIvf8PSADNmVSWo7Hb+MllGh4r2RV8FMjhqMJEBkQZHI4QbNNa48Zp34Lzfgupg0NoXiVSsFFYUsjV7a+P7dPYDaXgVSGllKRsyNwCyykoIvSSmRc2HDSZJECGE8GKjz4nm7G7PEF9RSY7JwV8W/hZVrW8coGiJQ2ue5hm7NlUg7NQIXrn+evwtMg5XtC/6AalMhRHtWtIUmL0TZiyCq9/WrmfvgP5XwZRXYOLTmFEYW6Ct8Fh5cHHj+9PLYRrpB/JD5g+U2cuIDY4lMTLRRT+IEL5J/4zZkLmBEltJE1t7B0mCCCGEl7t9SioDii/BoqqsKT/GJxv/1vSTRIMqMn7g/v0fUmoy0aWkE7eOeoi+XUONDksIl8ovz+fH7B8BOVMtOoCGGjcqCoycBTfOZ1yFdgJh1f6vUE/sb3hfejlMIyNv9VVW4+LHSSNt0eGdFXEW3UK6UeGocK6Q8naSBBFCCC/nZzFx67QnSDmlLWf/+/4PScv+yeCofFRZPi8svoW9/laC7AoJQQ8zLbmn0VEJ4XJrj67FrtrpG9GX+LB4o8MRwljnTOKCG74iUIUsE+x5byIcaGDpfhPjce0OO6szVgOyykoI0PrY6f8W9ASht5MkiBBC+IA+USEMv+DfnF9ip0JRuGfJrZTby40Oy7eoKusW3MwHAdofraen8a9rxspZPNEuOafCyJc0IQAIiDuPkd1GA7DS4oAPr4Ytb9fdsIlymO0ntnO6/DShfqGcH32+m6IVwrfoKw7XHF1DpaPS4GiaJkkQIYTwEdeMPJfeljuIrLRzkDKeW/xHo0Pyfg47HPoednzOyW/v4y8lewEIP92P566YSadgP4MDFML1yu3lrDu2DpBSGCFqGt/7EgBWdY4F1Q7/uxsW3w/2Gl/amiiH0XvtXNT9IqwmqzvDFcJnDO46mAj/CPLL8/kpx/tXK0sSRAghfISiKNw5bSajc88F4NPcraze/V/nl3wOfa996Rea3Qvhhf7w3mU4vpjJw0cWkGs207XcyqSz/8LIvl2MjlAIt9h0fBOllaV0DepKUucko8MRwmtc2O1CzIqZ/Y4SMi68W7tz8xvw8bXaChCHHU7u0+7X/1yDqqqszNBG48oqKyGqWUwWLuqujWLXx0d7M0mCCCGED4kI8uPyK19hYp7W9O2RH55i13+vZPP//kzWh1doX/p3LzQ4Si+weyF8Oh0KMskym/lrZCfWBwXi73Dw+ol0Huhx2OgIhXAb/QB0fPx4KfcSooaIgAhnCcuq6F5w/YdgDYIDK+HfF8A/E7XbANverfOZmpaXRkZhBn4mP0bFjTLgJxDCe+mJwZXpK71+kqEkQYQQwsdc0DealIirSCyvIM9s4oa4GGbGRpMaH8eXjgLty39HToQ47LDkAUDly5BgJsbH8Um4Nv0lpbiEvrZKrMvmyKoZ0S7ZHfbqyRU9xhkcjRDeRy8RW5WxCvpdDr9fAoGRUHgcinJqb1xwvNZnqv5v64K4CwiyBnk0biG83Yi4EQSYA8gszmT/6UYmMHkBSYIIIYSvcdiZdPK/3JebC6qqjQAEHIrC4106kWU2w5IHO+6X/CMbnCtAHu8SiVrjTPi3IcFkm01QcEzbToh2ZsfJHeSW5RJqDWVY9DCjwxHC6+jJwW052zhddhqi+4O5of5QVWezqz5T9VVW4+IlwSjEmQItgYyIGwF4f0mMJEGEEMLXHNmAUpgJKM4EiM6hKGRYzR37S35RNgDb/f1w1Pv+WGptJ0R7oh94juk+BqtZmjYKcaZuId04p9M5OFQHa4+u1T4ri7IaeYYKBcfI2v8/dp3ahYLC2PixngpXCJ/iLInJkCSIEEIIV6r68t7DVonpjJpLRVWJtVXW2q7DCYhgn5+VZzvXHW9oUlXi9fcnJNrDgQnhXjWbNkopjBANq9m7oLmflasz1wMwKGoQXQKlsbYQ9bmo+0WYFBN7c/eSWZRpdDgNkiSIEEL4mqov7zF2O3NP5lYnQlQVVVF4LKozBSalY37JLz7F+jWPMSM2mlMWC1GV1Ykik6oy92QuMXYHhHWDhJEGByuEax3KP8SRgiNYTVZGx402OhwhvJZezrIhcwOlgXUT5vVZWXhQe64kGIVoUKeATpzX9TyguoeON5IkiBBC+JqEkRAWByhcVVTM0oxM5h3P5pkTpwhyONgUGMD0uFgyO8UbHaln5R7ki/cncLslj2KTiWGlZXx57Ljz/VmakclVRSXatpOeBZPZ2HiFcDF9Fcjw2OGE+IUYHI0Q3isxMpHY4FjK7GX8YMX5mVo/hYLwbmzJTwOqG6sKIeqnJxlXpUsSRAghhKuYzDDpb1V/UIix2xlWVs5lxSW8l5lN18pKDlgt/GbBVHYd32JoqJ6iHv2Rl+ZP5rEgO3ZFISD/HJJsfyAsONb5/sTY7dqB7nXvQ9IUo0MWwuX0A075kiZE4xRFqS6JObq61mfqGVsCsG7ojVSqlfQO703P8J6eClMIn6R/Bv2Y/SP55fkGR1M/SYIIIYQvSpqifZkPi611dx+/KK7OGshZ5TZOKXZuWvp71uz7wqAgPaNi72Ie/OZG/hOsNYE0nxjJ6Oi/8H+33Yfprp0wYxFc/bZ2PXuHJEBEu5RTksMvJ38BZHKFEM2h/ztZk7EGe+Kl9X6m6onzVY6CWs8RQjQsPiyeszqdhV21a82HvZDF6ACEEEK0UtIUSLy0qrN9NoREY00YydSCCna+PY9w+8v8GGTl/zbOZU7eQW5Ivs/oiF0uf/Mb3PnTP9gaFIBJBfvxKUwfMp27Lj4bRZ8M02uMsUEK4QGrM1YDMLDLQKKCogyNRQhfcH70+YT5hXG6/DTbT2xnSD2fqSSMpEK18/32vwLVDVWFEI0bFz+OX0//yqqMVVze53Kjw6lDVoIIIYQvM5m1L/kDrtGuTWbiIgJ59vZbCVH+yvgCFYei8PTe9/nHsttxqA6jI3YNVSVj+V/47c//YmuAP/52hfKjN/NIyh+5e+I51QkQIToImQojRMtYTVYu7H4hUD1aur7P1M1Zmym2FRMVGEX/Lv0NjFgI36EnDNcdW0dZZZnB0dQlSRAhhGiHwgKs/OMPUwnq/BqXn/IH4N3ja7n3y6mU2UoNjq6N7DZ2fDmD32Z8xWE/K8E2K6WZs3njut9x/bAeRkcnhMcVVRSx6fgmQM5UC9ES+r+XVRmrUM8YOa/Te+2MjR+LSZGvTkI0R1JkEtFB0ZRWljo/n7yJ/EsWQoh2ys9i4q83jiaq//tclhWNVVVZXnSIP3xyMaeLTxgdXuuUF7Hi48v4fcFWcs1mwspCsZ/4C5/+/mouOltKAETHtC5zHZWOSnqG9aR3eG+jwxHCZ4yKG4WfyY+MwgzS8tLqPO5QHc4xn5JgFKL5FEWpnhLjhaNyJQkihBDtmKIo3DUxifPGzWPMsUGE2h38bM9n2uepHDmxy+jwWqYohw8/mMBd9mOUmUyEF8UQWPIYC26bzLlx4UZHJ4Rh9KX8UgojRMsEWYO4IO4CoP4vartO7uJE6QmCrcEMjxnu6fCE8Gk1V1rZHXaDo6lNkiBCCNEBXDe8B1dd+wKJxyYTa7OTgY3fLrqB7QeXaBs47HDoe9jxuXZt9IfVGfHYs3fzt48m8DdrCaqiEHY6ke7Wx/jiT+PoFhFobKxCGMhmt7Hu6DpARuMK0Rr6vxtnX5Aa9F47o7uNxs/s59G4hPB1Q2OGEmoNJbcslx0ndxgdTi0yHUYIITqIi86OosvMh3nq3TjCOv+HfQFmZq69l7/uX0zq7uVQkFm9cVgcTPqbMeNkdy+EJQ844ylVFB6M6szK4CAAgnJGMSz+jzx3zSD8LJLLFx3bluwtFNoK6RzQmQFdBhgdjhA+56L4i1A2Kuw6tYus4ixigmOcjzlXWcloXCFazGqyMqb7GBYfWszK9JUM7jrY6JCc5OhRCCE6kHPjwnn+z3/CWvQwQ4uhQlG4N3sV7yiFHDeb2RzgT5bZDAXH4dPpWkLCk3Yv1F63IJMss5nvAgOZHtOVlcFB+DlUBmUO4tqBd/Gv6wdLAkQIqr+kjY0fi9lkNjgaIXxPl8AuDIoaBFSPmgY4nH+Yg/kHsSgWxnSXUetCtIZeErMyY2WDzYeNIEeQQgjRwXSLCOT1P1+LYnqe6/OLAfhnZCcmxscxMzaa1Pg4vgzRVl2w5EHPlcY47NoKEFS+DAlmYnwcd8VEsTfAn0CHgzeO5/CGsoV7L+4rI3CFAFRVlaaNQriA84tajZIY/d/WsJhhhPmFGRKXEL5udLfRWE1WjhQc4VD+IaPDcZIkiBBCdEDhgVbeSAnk4dxT3HY6D1QVqhILDkXh8S6RHDeboOAYHNngmaB+XU5h4XE+CQlmbpdI1BqJjnJFobu9kuCyLM/FI4SX231qNzklOQRaAkmOTTY6HCF8ll7usiVrCwUVBYA0HBbCFYKtwc7PJ73HjjeQJIgQQnRQ1tIcAIaWlTsTIDqHonBNtxge7RLJd7/Mo7goq3k7bWmD1dxDHF77DO+9dyF/WHUHFyZ056mozvXGk2GtamNVlN28WIRo52o2bfQ3+xscjRC+q2e4Nl66Uq1k3dF1nCw9yc8nfgakH4gQbeWcEpPuPaNypTGqEEJ0VCHRAPSwVWJSVRw1Ew+qSoHZzFehIXyV9yOWz1MYRiAXdRnIhYnXE987BUxn5NHPaGgK1G2w6rBjS/+Bbbs+Yk3mRtYqpRyxWrXHAgMAiK+wcdRqqbUSxKSqxNsqa8UtREcnTRuFcJ3xPcZzcMdBVmaspLSyFBWVczufW6tRqhCi5cZ2H8sTPMEvJ38hpySHrkFdjQ7JfStBnn76aUaOHElQUBARERHNeo6qqjz66KPExsYSGBhISkoKv/76a61tcnNzmTZtGmFhYURERDBz5kyKiorc8BMIIUQ7lzASwuKIsTuYezIXU1XDKpOq8ujJXN7MzOaG/GJibQ4qFYWNShnPntrM5PX3cMU7A/jnxxP5cf1zVBZk1WloemaD1dxv72fhp1dzz3/6c+GqW/nDye/5wK+SI1YrZhW6FkcQlH0h89KLWXTsOI+dEc/ck7nE2B0Q1k2LW3RIr776Kj179iQgIIDk5GQ2b97c6PafffYZiYmJBAQEMGDAABYvXlzrcV8+7sgoyCAtLw2zYubC7hcaHY4QPk9PJq47to6lh5fWuk8I0XpRQVEMjBoI1G4+bCS3JUEqKiq49tprue2225r9nOeee46XXnqJ119/nU2bNhEcHExqaiplZWXObaZNm8auXbtYvnw5ixYtYu3atdx6663u+BGEEKJ9M5m1VRrAVUUlLM3IZN7xbJZmZHJNUQkXlFcQHXAnx4/+g7CDMzj3RF/6lFgxqyoHLSbesR3n5rQPuPDzCdy/+m7+FxzIR2EhpFY1WJ0YH8fsqM78NrYrY7MX85fS/SwLsFBkMhFcaSImPx6OXkPe/scwlz/FVQPvoNOFT6Gg1InnqqISLeZJz2pxiw7nk08+4e6772bu3Lls27aNQYMGkZqaSk5OTr3bb9iwgRtvvJGZM2fy008/MXXqVKZOncrOnTud2/jycYdeCjM0eijh/uEGRyOE7+vfpT9RgVEU24rZeHwjIA2HhXAVPaHoLX1BFNXNs2reffddZs+eTV5eXqPbqapKXFwc99xzD/feey8A+fn5REdH8+6773LDDTewZ88ekpKS2LJlC0OHDgVgyZIlTJ48maNHjxIXF9esmAoKCggPDyc/P5+wMOn2LITo4OotY+mmJRySpmCzO/jx8GlW7Mlm5d4cMnKz6BOyjuDQX8gMPk1RzZxEjQarZ4ors2ArSiKjcCSKrSfJvbuQ0i+a8YldiY8ManY8wvu543M2OTmZYcOG8corrwDgcDiIj4/njjvu4MEHH6yz/fXXX09xcTGLFi1y3nfBBRcwePBgXn/9dY8dd7jrmGPGtzPYlrONB4c/yLR+01y2XyE6sic2PsFn+z8DoHtIdxZftVimkQnhAgfzD3LFgiuwmCx8f/33hPiFuGzfrfmc9ZqeIIcOHSIrK4uUlBTnfeHh4SQnJ7Nx40ZuuOEGNm7cSEREhPNABCAlJQWTycSmTZu48sorjQhdCCF8W9IUSLxUm7pSlK313EgY6VxxYTWbGNGnMyP6dObhy5I4eKKIlXuH892ebHLSTjEx4AsSw1fwbXAQx/T+HjVMz8/nd/lFvKzeQUW/q7i/X1dGnxVFiH8DH0FNxCM6noqKCrZu3cqcOXOc95lMJlJSUti4cWO9z9m4cSN33313rftSU1NZsGAB4NvHHblluWw/sR2A8fFyploIVxnfY7wzCTK+x3hJgAjhIr3De9MzrCeHCw6z7tg6JvWaZGg8XpMEycrSJg9ER9dueBcdHe18LCsri65dazdSsVgsREZGOrepT3l5OeXl5c4/FxQUuCpsIYRoH0xm6DWmWZv2jgqhd1QIfxjTm/xSGzvXVzJq3ZdcX1BEanxcrQarJlXld/lFxNjtPDl9Aqbeg1wej2j/Tp48id1ur/cYYe/evfU+Jysrq8ljCv2+xrZp6XGHJ4451mSswaE66BfZj9iQWJfvX4iOanjMcEKtoRTaCpnQY4LR4QjRrozrMY53dr7DyoyVhidBWtQT5MEHH0RRlEYvDR2MGOmZZ54hPDzceYmPjzc6JCGEaBfCA62MGn85hMURXU+D1ZoNTU09RxkcrRDu54ljjqTOSUzrN42rzrrK5fsWoiPzM/vx4vgXeWLkE5wffb7R4QjRrkxMmMglvS5hUk9jEyDQwpUg99xzDzfddFOj2/Tu3btVgcTEaOOnsrOziY2tPquRnZ3N4MGDnduc2QCtsrKS3Nxc5/PrM2fOnFpLYgsKCiQRIoQQrlLVYFX5dDpXFZUwsrSMDKuFeFullgABaWgq2qRLly6YzWays7Nr3Z+dnd3g539MTEyj27vruMMTxxznRJ7Dg8Pr9kERQrTdsJhhDIsZZnQYQrQ7/bv057kLnzM6DKCFK0GioqJITExs9OLn59eqQHr16kVMTAwrVqxw3ldQUMCmTZsYMWIEACNGjCAvL4+tW7c6t1m5ciUOh4Pk5OQG9+3v709YWFitixBCCBdKmgLXvQ9hscTY7QwrKyfGboewOO1+aWgq2sDPz48hQ4bUOkZwOBysWLHCeYxwphEjRtTaHmD58uXO7d113CHHHEIIIYR3c1tPkPT0dHJzc0lPT8dut7N9+3YA+vbtS0iI1g02MTGRZ555hiuvvBJFUZg9ezZPPfUUZ511Fr169eKRRx4hLi6OqVOnAtCvXz8mTZrELbfcwuuvv47NZmPWrFnccMMNzZ4MI4QQwk2koalwo7vvvpsZM2YwdOhQhg8fzgsvvEBxcTE333wzANOnT6dbt24888wzANx5551cdNFF/OMf/+DSSy9l/vz5/Pjjj7z55psActwhhBBCdFBuS4I8+uijvPfee84/n3feeQCsWrWKsWPHArBv3z7y8/Od29x///0UFxdz6623kpeXx+jRo1myZAkBAQHObT766CNmzZrFhAkTMJlMXH311bz00kvu+jGEEEK0hDQ0FW5y/fXXc+LECR599FGysrIYPHgwS5YscTY2TU9Px2SqXuA6cuRIPv74Yx5++GEeeughzjrrLBYsWED//v2d28hxhxBCCNHxKKpa1cGuA2nNLGEhhBBCNI98zlaT90IIIYRwn9Z8zraoJ4gQQgghhBBCCCGEr5IkiBBCCCGEEEIIIToESYIIIYQQQgghhBCiQ5AkiBBCCCGEEEIIIToESYIIIYQQQgghhBCiQ5AkiBBCCCGEEEIIIToESYIIIYQQQgghhBCiQ5AkiBBCCCGEEEIIIToEi9EBGEFVVQAKCgoMjkQIIYRof/TPV/3ztiOTYw4hhBDCfVpzzNEhkyCFhYUAxMfHGxyJEEII0X4VFhYSHh5udBiGkmMOIYQQwv1acsyhqB3wNI3D4SAzM5PQ0FAURTE6HI8oKCggPj6ejIwMwsLCjA7HcPJ+1CXvSV3yntQm70dd8p7Upr8f6enpKIpCXFwcJlPHrryVYw75dyHvR13yntQl70lt8n7UJe9JbW055uiQK0FMJhPdu3c3OgxDhIWFyT+aGuT9qEvek7rkPalN3o+65D2pLTw8XN6PKnLMIb8HOnk/6pL3pC55T2qT96MueU9qa80xR8c+PSOEEEIIIYQQQogOQ5IgQgghhBBCCCGE6BAkCdJB+Pv7M3fuXPz9/Y0OxSvI+1GXvCd1yXtSm7wfdcl7Upu8HwLk9+BM8n7UJe9JXfKe1CbvR13yntTWlvejQzZGFUIIIYQQQgghRMcjK0GEEEIIIYQQQgjRIUgSRAghhBBCCCGEEB2CJEGEEEIIIYQQQgjRIUgSRAghhBBCCCGEEB2CJEE6oKeffpqRI0cSFBRERESE0eEY4tVXX6Vnz54EBASQnJzM5s2bjQ7JMGvXruXyyy8nLi4ORVFYsGCB0SEZ6plnnmHYsGGEhobStWtXpk6dyr59+4wOy1CvvfYaAwcOJCwsjLCwMEaMGMG3335rdFhe49lnn0VRFGbPnm10KIZ57LHHUBSl1iUxMdHosIQXkGMOOeaoSY45apNjjrrkmKNxcszhmmMOSYJ0QBUVFVx77bXcdtttRodiiE8++YS7776buXPnsm3bNgYNGkRqaio5OTlGh2aI4uJiBg0axKuvvmp0KF5hzZo13H777fzwww8sX74cm83GxIkTKS4uNjo0w3Tv3p1nn32WrVu38uOPPzJ+/HiuuOIKdu3aZXRohtuyZQtvvPEGAwcONDoUw5177rkcP37ceVm3bp3RIQkvIMcccsxRkxxz1CbHHHXJMUfD5JijWpuPOVTRYb3zzjtqeHi40WF43PDhw9Xbb7/d+We73a7GxcWpzzzzjIFReQdA/eqrr4wOw6vk5OSogLpmzRqjQ/EqnTp1Ut966y2jwzBUYWGhetZZZ6nLly9XL7roIvXOO+80OiTDzJ07Vx00aJDRYQgvJsccGjnmqCbHHHXJMUf95JhDjjlqcsUxh6wEER1KRUUFW7duJSUlxXmfyWQiJSWFjRs3GhiZ8Fb5+fkAREZGGhyJd7Db7cyfP5/i4mJGjBhhdDiGuv3227n00ktr/X/Skf3666/ExcXRu3dvpk2bRnp6utEhCWEoOeYQLSXHHLXJMUc1Oeaora3HHBY3xSWEVzp58iR2u53o6Oha90dHR7N3716DohLeyuFwMHv2bEaNGkX//v2NDsdQO3bsYMSIEZSVlRESEsJXX31FUlKS0WEZZv78+Wzbto0tW7YYHYpXSE5O5t133+Wcc87h+PHjPP7444wZM4adO3cSGhpqdHhCGEKOOURLyDFHNTnmqE2OOWpzxTGHrARpJx588ME6DWLOvMgHrhAtc/vtt7Nz507mz59vdCiGO+ecc9i+fTubNm3itttuY8aMGezevdvosAyRkZHBnXfeyUcffURAQIDR4XiFSy65hGuvvZaBAweSmprK4sWLycvL49NPPzU6NOEGcswhhOvJMUc1OeaoJsccdbnimENWgrQT99xzDzfddFOj2/Tu3dszwXixLl26YDabyc7OrnV/dnY2MTExBkUlvNGsWbNYtGgRa9eupXv37kaHYzg/Pz/69u0LwJAhQ9iyZQsvvvgib7zxhsGRed7WrVvJycnh/PPPd95nt9tZu3Ytr7zyCuXl5ZjNZgMjNF5ERARnn302aWlpRoci3ECOOZpHjjlEc8kxR21yzFFNjjma1ppjDkmCtBNRUVFERUUZHYbX8/PzY8iQIaxYsYKpU6cC2vLDFStWMGvWLGODE15BVVXuuOMOvvrqK1avXk2vXr2MDskrORwOysvLjQ7DEBMmTGDHjh217rv55ptJTEzkgQce6PAHIwBFRUUcOHCA3/3ud0aHItxAjjmaR445RFPkmKN55JhDjjka05pjDkmCdEDp6enk5uaSnp6O3W5n+/btAPTt25eQkBBjg/OAu+++mxkzZjB06FCGDx/OCy+8QHFxMTfffLPRoRmiqKioVub00KFDbN++ncjISHr06GFgZMa4/fbb+fjjj/n6668JDQ0lKysLgPDwcAIDAw2Ozhhz5szhkksuoUePHhQWFvLxxx+zevVqli5danRohggNDa1Trx0cHEznzp07bB33vffey+WXX05CQpnDd/kAAAGASURBVAKZmZnMnTsXs9nMjTfeaHRowmByzCHHHDXJMUdtcsxRlxxz1CbHHHW55JjDFWNqhG+ZMWOGCtS5rFq1yujQPObll19We/Toofr5+anDhw9Xf/jhB6NDMsyqVavq/X2YMWOG0aEZor73AlDfeecdo0MzzO9//3s1ISFB9fPzU6OiotQJEyaoy5YtMzosr9LRx9Vdf/31amxsrOrn56d269ZNvf7669W0tDSjwxJeQI455JijJjnmqE2OOeqSY46myTFH2485FFVV1dbnYYQQQgghhBBCCCF8g0yHEUIIIYQQQgghRIcgSRAhhBBCCCGEEEJ0CJIEEUIIIYQQQgghRIcgSRAhhBBCCCGEEEJ0CJIEEUIIIYQQQgghRIcgSRAhhBBCCCGEEEJ0CJIEEUIIIYQQQgghRIcgSRAhhBBCCCGEEEJ0CJIEEUIIIYQQQgghRIcgSRAhhBBCCCGEEEJ0CJIEEUIIIYQQQgghRIcgSRAhhBBCCCGEEEJ0CP8PBzvHmh2BTnwAAAAASUVORK5CYII=",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optimization terminated successfully.\n",
" Current function value: 0.061544\n",
" Iterations: 32\n",
" Function evaluations: 61\n",
"Qubit 4, 3\n",
"depol = 0.22%\n",
"decay = 1.23%\n",
"readout = 1.13%\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Optimization terminated successfully.\n",
" Current function value: 0.057102\n",
" Iterations: 22\n",
" Function evaluations: 42\n",
"Qubit 5, 0\n",
"depol = 0.20%\n",
"decay = 1.21%\n",
"readout = 1.13%\n"
]
},
{
"data": {
"image/png": 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3EB6vf//+TJ8+nQULFtCzZ08+++wzdu3aZZ3qEhwczFNPPcWTTz6J2Wymd+/eZGVlsX79ekJCQhg5cqTO34EQQghdFZZ1t8M7wLMSIDVlM41IwTYRos80orNnz5KamkphYSH79+/ngw8+YPHixSxYsMBaAdGqVSsWLVrEhg0bCA8P5+233yYtLc0mCRIXF8emTZs4evQoQUFBRERE0KpVKxYsWMDKlStp0aIFn376KX/++ae1wsSZ+vfvz7x587j55psJCwtj4sSJNk1TBwwYQM+ePRk6dChvvvkml112GSdPnmTZsmXccsstNZ5ObA+SBBEuLVMJ55yXF9MbhF3wmEFVaV9YWipWkw7ZBmPtqzSColCAq/ILMKjqBYmZeaEhdCzMwCugkfxyCeHhEhISeOmll3jmmWcoKCjgX//6FyNGjGDnzp3WMS+//DINGzZk2rRpHD58mLCwMDp37szzzz+vY+RCCCFcQmF22f3y02JExcpVfV+4eIHzpxFZelb6+fnRpEkTevfuzebNm+ncubN1zIsvvsjhw4dJSEggICCABx98kKFDh5KVlWUd89RTTzFy5Eji4+PJz8/nyJEjPPTQQ2zfvp1hw4ahKArDhw/n0UcfrVWfj7qaMGECR44c4aabbiI0NJSXX37ZphJEURSWL1/OCy+8wOjRozl16hTR0dFcffXVurW0UNSLzVepp7KzswkNDSUrK4uQkBC9wxGV2JuazVvzJ7G34UrOGo2ElZjINhouaGhKSAyM2+mczK7ZBDPbQXYK3wUF2PQoMQAmRaFDQSGXljzK0/ePvXBZXSEEBQUFHDlyxGaNeeF+LvZzlL+zZeTfogZk6XkhbK16GdbO0O437Qb3/6xvPA5k1/cGTv6/ZM2aNYwaNcq64ouoHUVROHLkSIVTZuz9nqOS5glC6Gv9wQzeWPAY2xr9zFmjkcsLC/n+ZCork08yNyWNlckntQQIOLe0zVJqB9yak2eN56fkk3yUeooQk4m//XzZ7PsBb773HGnZBc6JSwghPMDs2bOJi4vDz8+P7t27s3nz5ouO/+abb2jTpg1+fn60b9+e5cuX2zz+3Xffcf3119OgQQMURWHHjh0XHKOgoIB///vfNGjQgKCgIG677TbS0mTKo93tXqJ9yDD/Jvh2jLad2U7bL4SnkkqQ2rFUfbe/XdtKMlWcR5IgwuUs2pLMnMVj2BK1jSKDwtXGcOZ2f5nIwCiiTSauLCjU+m6ExOizHK2l1C6ksU08XX0a8Gn7x2mMN8e9vVgdvpwP3h/FvpTsqo8phBDior7++mvGjx/PpEmT2LZtGx07diQhIYH09PQKx2/YsIHhw4czZswYtm/fztChQxk6dKhNs9rc3Fx69+7NG2+8Uel5n3zySX788Ue++eYbfvvtN06ePMmtt95q9+/Po+1eos3jzz5vFQjL0vOSCBGeqkCSIEI4gkyHkdJUl6GqKu/+speNux/ln7AMAIb5N2fCrd9j9PJ2vTLZSuLJyD3FI9/fyl7TWXzMKreeakT/IZ/Rs3WMfrEK4UJkOkz94OzpMN27d+fKK6/kvffeA7QO+rGxsTz22GM899xzF4wfNmwYubm5LF261LqvR48edOrUiTlz5tiMPXr0KC1atGD79u106tTJuj8rK4uGDRvyxRdfcPvt2tKLe/fupW3btmzcuJEePXpUGbe856iCdZppZctgKs6d9iqEK/nybti3rOzrl06DsX5OtXbn9wZHjx5l8eLFjBs3Tu9Q3NrkyZMZN25chcvmynQYUS8Vm8w8/c0m1uwfZU2AjI+4khduX6IlQMD1StsqiScysCHzh62kT2BLigwKX0Wd4qdlN/PjH7uqOKAQQoiKFBUVsXXrVuuSggAGg4EBAwawcePGCp+zceNGm/GgNautbHxFtm7dSnFxsc1x2rRpQ7NmzSo9TmFhIdnZ2TY3cRHHNlwkAQKggmXpeSE8TeF5/3/kn9EnDnFRcXFxkgCxg8mTJ1eYAHEESYII3eUUlvCveSv458wjHAzKw8es8lbszYy+eS6KwT1fogHeAfzfrd8xLKo3AIsaFPH75mF8snQVHlh8JYQQdZKRkYHJZLqgi3xUVBSpqakVPic1NbVG4ys7ho+PzwVvyi52nGnTphEaGmq9xcbGVvt8Hqm6S8rL0vPCExVk2X6dl6FPHELUM+55hSnqjbTsAu764AuS1Akc9yshzGTm4/gHub7/a3qHVmdGg5EXEv7LU63vRVFVEkMNbEj6N7M+XUCxyax3eEIIIRxgwoQJZGVlWW/Jycl6h+TaqrvEfXXHCVGfnF8JIn1BhLALSYII3exLPcdd//svp4Kmk+mtElts4rNuE+nU/XG9Q7MbRVEY2eNZ3uo+ER8V/gj0ZkPBa7w151VyCkv0Dk8IIdxCZGQkRqPxglVZ0tLSiI6OrvA50dHRNRpf2TGKioo4e/ZstY/j6+tLSEiIzU1cRPNeWs8PlEoGKBDSRBsnhKexNEb1C9W2kgQRwi4kCSJ0seFgBv/69DXORs4lzwgdikx83v+/NG83TO/QHOK6tnfy8XX/I1Q1sMfXh9W+X/De/z1KWla+1hTuyFrYuUjbmk16hyuEEC7Fx8eHLl26sGrVKus+s9nMqlWr6NmzZ4XP6dmzp814gJ9//rnS8RXp0qUL3t7eNsfZt28fSUlJNTqOuIhyS89fqDQxMvB1/fuACeFsqlpWCRLeQttKEkQIu6if7YWFazlvFZXvMmOZseY1zjXaCChcV2jmtcFf4RfdQe9IHapTk558MfR7HlpyF8e981kSsZ6oOddyryET79yUsoEhMdobQmcv/SuEEC5s/PjxjBw5kq5du9KtWzdmzpxJbm4uo0ePBmDEiBE0adKEadOmAfDEE09wzTXX8NZbbzFo0CC++uortmzZwv/+9z/rMTMzM0lKSuLkSa0x5759+wCtAiQ6OprQ0FDGjBnD+PHjiYiIICQkhMcee4yePXtWa2UYUU3xg+HaSbBqsu1+/3C4eZb8PRSeqTgfzKVVwxEtIGWHJEGEsBOpBBGOtXuJtvTd/Jvg2zEUz7+JzRuu51yk1lV/ZKGRGXcsr/cJEItmYS354o5E2vs04pzRwLtR2SRyXtOr7BRYOEL7txNCuIzJkyejKIrNrU2bNjU+TlJSEoMGDSIgIIBGjRrx9NNPU1Jy8elx5c8ZGBhIq1atGDVqFFu3bq3x+fv27euWXeyHDRvGjBkzmDhxIp06dWLHjh0kJiZam58mJSWRklKWUO7VqxdffPEF//vf/+jYsSOLFi1i8eLFtGvXzjpmyZIlXHHFFQwaNAiAu+66iyuuuMJmCd133nmHm266idtuu42rr76a6OhovvvuOyd91x4kqJG2je4IrW/U7sd0lgSI8FyWKhDFAGHNtPt5mfrFIyq1Zs0a4uLiqjX26NGjKIrCjh07HBqTM1m+J3ciSRDhOLuXaBfz2SdJNRr5zd+PB6MbsizEF4Oq8nyewlP3/IIhvLnekTpVuH8En9z+I9fnF1OiKDzfKJK3wkPZ5OdLqtEIlK4ek/icTI0R4mJ0mEp2+eWXk5KSYr2tW7euRs83mUwMGjSIoqIiNmzYwPz585k3bx4TJ06s8rmffPIJKSkp/PPPP8yePZucnBy6d+/OggULavvtuJ2xY8dy7NgxCgsL2bRpE927d7c+tmbNGubNm2cz/o477mDfvn0UFhaya9cubrzxRpvHR40ahaqqF9wmT55sHePn58fs2bPJzMwkNzeX7777rkZ9RUQ1ndqrbZv1gOtf0e4f/rWK5XOFqMcs/UB8gyEgUrsvlSBu4/wPTRRFoXfv3sTGxpKSkmJNyK9ZswZFUS7oPVVT8+bNq/Cc5W9Hjx6t+zdWT0gSRDiG2QSJzwIq3wUFkhAbw9joRmzx98fbbGZWWgbD84q1UlcP5Ht8K9NTUxh9VvsDNy8slPsbR5EQG8N3QYGACtkntGlEQogLnVdlxvybtK8dXEHl5eVlnSoRHR1NZGRkjZ7/008/sXv3bj777DM6derEDTfcwMsvv8zs2bMpKiq66HPDwsKIjo4mLi6O66+/nkWLFnHPPfcwduxYzpw5A8Dp06cZPnw4TZo0ISAggPbt2/Pll19ajzFq1Ch+++03Zs2aZfOmyGQyMWbMGFq0aIG/vz+tW7dm1qxZNf8HEqK2TmlTkWjYGhpcArE9QDXD31/rG5cQerFUgviGQkAD7b4kQdyK5cMLy23JkiUYjUaio6Px8rJvV4phw4bZnKtnz5488MADNvvKL9le1XuO+k6SIMIxjm2wVoBMiYzAXK5EyqQotCkqgnMnPfciPycNA3B39jkUVbXuNisKUyIjSitCtHFCiPOUqzKz4YSpZAcOHCAmJoaWLVtyzz33kJSUVKPnb9y4kfbt21uncAAkJCSQnZ3NP//8U+N4nnzySc6dO8fPP/8MQEFBAV26dGHZsmXs2rWLBx98kPvuu4/NmzcDMGvWrAveGMXGxmI2m2natCnffPMNu3fvZuLEiTz//PMsXLiwxjEJUSsZliRI6RSzK+7Rtts/1xpECuFpCkqnS/uFSBLETVk+vLDcIiIibKbDHD16lH79+gEQHh6OoiiMGjWqVufy9/e3OZePjw8BAQHWr5977jluu+02Xn31VWJiYmjdujWgVawsXrz4grjLV1YmJydz5513EhYWRkREBEOGDHH7qhJpjCoco/TiPcnbyyYBAtqFfrK3F9Emk+de5AeVzmH39kK92L9PUFRFzxai/lFVKM6repzZBCuewTptzPYggKJVobXsW73VJLwDoJrzWLt37868efNo3bo1KSkpTJkyhT59+rBr1y6Cg4OrdYzU1FSbBAhg/To1NbVaxyjP0pPE8makSZMmPPXUU9bHH3vsMVauXMnChQvp1q0boaGhNm+MLIxGI1OmTLF+3aJFCzZu3MjChQu58847axyXEDVSlAdnjmn3G2pvzIkfCsufgdMH4PgWiL1St/CE0IW1EsRzkyCqqpJfkq/Luf29/B3e5yI2NpZvv/2W2267jX379hESEoK/v7/Dzrdq1SpCQkKsH5xUR3FxMQkJCfTs2ZO1a9fi5eXFK6+8wsCBA/n777/x8fFxWLyOJEkQ4RilF+9nDAbt4qbcfyIGVSW2uMRmnMdp3gtCYmiWm45BVW0TRapKmMkEIU20cUJ4guI8eC3GDgdStQqR12OrHgrw/EnwCazW0BtuuMF6v0OHDnTv3p3mzZuzcOFCxowZU5tg60wt/YTc8kbNZDLx2muvsXDhQk6cOEFRURGFhYUEBARUeazZs2czd+5ckpKSyM/Pp6ioiE6dOjkyfCE0pw8AqnahF1g6xcwvBOKHwN9fwY7PJQkiPI+lJ4hfCAREaPc9rDFqfkk+3b/oXvVAB9h09yYCvKv+23kxw4cPx2gs+0DGMhXWwmg0EhGh/WwbNWpEWFhYnc5XlcDAQD766KMaJS6+/vprzGYzH330kfW9xieffEJYWBhr1qzh+uuvd1S4DiXTYYRjNO/FCb9GTG8QDopinfJhUFUmZWQSbTJ79kW+wQgD3yDaZGJSxhkMllLf0oTR+2FhHLvi6ep9ki2E0EVYWBiXXXYZBw8erPZzoqOjSUuzrYCzfF2bZpt79uwBtMoNgOnTpzNr1iyeffZZVq9ezY4dO0hISKhy7u9XX33FU089xZgxY/jpp5/YsWMHo0eP9vg5w8JJTp03Fcai093adtd32nKhQniSiipBinKguEC/mESNvPPOO+zYscN6u+6662p9rKCgIOvt4YcfrtUx2rdvX+PKjb/++ouDBw8SHBxsPX9ERAQFBQUcOnSoVnG4AqkEEQ6x/Xg2LwbHkOaVSVxRMe+mnSLDy0hscYmWAAEY+LpnX+THD4Y7F3Br4rP0Sj5JsrcXeSiMi27Iz0EBBO/4nGd63Uegr/yaCg/gHaBVZVTl2Ab4/Paqx92zqHpJ1jp8ypOTk8OhQ4e47777qv2cnj178uqrr5Kenk6jRtqSoD///DMhISHEx8fXOIaZM2cSEhLCgAEDAFi/fj1Dhgzh3nvvBcBsNrN//36bY/v4+GAy2a6ks379enr16sWjjz5q3efOb26Em7EkQSIvs90f1wdCm0FWEuxdBu2r8bsvRH1ReE7b+oWAXygoRlBN2pSY0Cb6xuYk/l7+bLp7k27nrqvo6GguvfRSm32nTp2q1bHKL6kbEhJSq2MEBl5Y+aooirWq1KK4uNh6Pycnhy5duvD5559f8NyGDRvWKg5XIFdXwu5yCkt4/Id3OBuSiZeq8vqZHFqUlNCipHQKTEgTLQESP1jfQF1B/GBoM4joYxuIzkmDoCgeOryc2ceXsiIshbDPXuXJMZP0jlIIx1OU6k1LuaQ/hMRoTVAr7AuiaI9f0t/uSdannnqKm2++mebNm3Py5EkmTZqE0Whk+PDh1T7G9ddfT3x8PPfddx9vvvkmqampvPjii/z73//G19f3os89e/YsqampFBYWsn//fj744AMWL17MggULrCW0rVq1YtGiRWzYsIHw8HDefvtt0tLSbJIgcXFxbNq0iaNHj1o/0WnVqhULFixg5cqVtGjRgk8//ZQ///zTWmEihENZlsc9vxLEYIBOw+G3N2D7Z5IEEZ6loFwliKJo1SC56R6VBFEUpc5TUlydpTLj/A8nznd+MsVeGjZsSEpKivXrAwcOkJdX1qOtc+fOfP311zRq1KjWyRdXJNNhhN09tfgncoIWA/B4Hlw+9m8YuRRu+1jbjtspCZDyDEZo0Ud7c9eiDw/2f5VOhgbkGwysNX1F4gZ9MuBCuKTSqWSa8xuWlX7toCqz48ePM3z4cFq3bs2dd95JgwYN+OOPP2w+CRk1ahR9+/at9BhGo5GlS5diNBrp2bMn9957LyNGjGDq1KlVnn/06NE0btyYNm3a8MgjjxAUFMTmzZu5++67rWNefPFFOnfuTEJCAn379iU6OpqhQ4faHOepp57CaDQSHx9Pw4YNSUpK4qGHHuLWW29l2LBhdO/endOnT9tUhQjhUOWXxz1fx9Ik4+E1kHXcaSEJobvCcj1BoKxfjoc1R63vmjdvjqIoLF26lFOnTpGTk+PU8/fv35/33nuP7du3s2XLFh5++GG8vb2tj99zzz1ERkYyZMgQ1q5dy5EjR1izZg2PP/44x4+77//JUgki7Orb7UfZcfZVSvxUeuUXMPLGeVozpxZ99A7NbRgUA28N+Zxbvh3IAV8vVm55lHZtfqNpRJDeoQnhGkqnkpH4rO0yuSExDq0y++qrr6occ+TIEetyd5Vp3rw5y5cvr9G5zy9VrUxERMQFS92d77LLLmPjxo0X7P/kk0/45JNPbPZNmzat2jEKUSslRZB5WLt/fiUIQEQLaN4bjq2Dv76Eq592bnxC6MWyRK5vaRLEQ1eIqe+aNGnClClTeO655xg9ejQjRoywWZ7W0d566y1Gjx5Nnz59iImJYdasWWzdutX6eEBAAL///jvPPvsst956K+fOnaNJkyZce+21bl0ZIkkQYTfJmXm8uXYyeaHZRJhMvHrJMAxxV+kdlltqFNKEKV2f48ltr/NLaBFhnz3Ki2PnYzQ4dqkuIdxG6VQyjm3QltoOitJ6gOjYZygrK4tDhw6xbNky3WIQwu1kHtL6HPiGQHAlzYGvuEdLguz4Avo8Ve1lrYVwa+Ubo4LHrhDjrir78CIuLu6Cx1566SVeeuklu55/zZo1Nl9XlliJiYlh5cqVNvvOnj1r83V0dDTz58+3Y3T6k+kwwi5KTGYe/GYeeaFa5vBlcwSR/aWXRV0MaH8PtwR3AODXwC3M/aHqT6GF8CjnTSXTu9FyaGgox48fJyhIqraEqDZrP5DWlSc32g4G70CtYiTpD+fFJoSeCs6bDiOVIELYjSRBhF1M/+VPTnl9CMDd5/K5+tYFYPSu4lmiKs/f/BFxZh8yvYysTX2VLQfdd+6dEEIIcYGL9QOx8A2Cy2/R7u+4cIUCIeqlCypBJAkihL1IEkTU2eYjGXx/aBKFXiW0LixifM+XIKKl3mHVC37e/ryT8AE+ZpXtAQpfLx1FdkFx1U8UQggh3IF1edyLJEEAOpU2AP7neyjKdWxMQrgCqQRxG3FxcYwbN07vMHQTFhbGpEnuNQNAkiCiTrILinnix+nkB57Az2zmzZCO+HYeoXdY9cqlMV15ooW2LOCqsFT+77PXdI5ICCGEsBNrJUgFTVHLa94LwuOgKAf2/OjwsITQnVSCuA1JgoQxefJkvcOoEUmCiFpTVZUnvv2RvBBtlYOnc1VaDp4jDcsc4L5rJtHL2JBiRWG9+jWL18ucaCGEEG7OVAKnD2j3LzYdBrT3Fp3u0e5v/8yxcQmht+ICMBVp9/2kMaoQ9uaUJMjs2bOJi4vDz8+P7t27s3nz5krH9u3bF0VRLrgNGjTIOmbUqFEXPD5w4EBnfCuinK+2HGRX3nTMClybm8cdN75f9h+0sCtFUXh96Jc0MEGyj5HEbWNJypByYCGEEG7szFHtQs87AEJjqx7fcTigwNG1cOaYo6MTQj+WKhAU8AnW7lorQTJ0CclZqrskvPAs9n5dODwJ8vXXXzN+/HgmTZrEtm3b6NixIwkJCaSnp1c4/rvvviMlJcV627VrF0ajkTvuuMNm3MCBA23Gffnll47+VkQ5x07n8tYfkynwySGqpIQpl9yJ0vIavcOq18KDopjW/SUUVWV9SCHvffEIxSaz3mEJIYQQtZNh6QfSCgzVeEsaFgstrtbu/yXv+0Q9ZukH4htc9rtRfjpMPUwUeHtrCyrk5eXpHIlwRZbXheV1UldedjnKRbz99ts88MADjB49GoA5c+awbNky5s6dy3PPPXfB+IgI20qCr776ioCAgAuSIL6+vkRHV7KevHCoYpOZMd/8j8KQv1FUlWmmMEKvnaJ3WB6h5+V3cs/+pXyWvZ11QVt5f/GXPH7bPXqHJYQQQtScdXncKvqBlHfFvXDkN9jxBVz9TPWSJ0K4m8IsbWvpBwJlSRBTkdYbxzfY+XE5kNFoJCwszPpBeUBAAIpMsfd4qqqSl5dHeno6YWFhGI1GuxzXoUmQoqIitm7dyoQJE6z7DAYDAwYMYOPGjdU6xscff8xdd91FYGCgzf41a9bQqFEjwsPD6d+/P6+88goNGjSo8BiFhYUUFhZav87Ozq5wnKieVxPXk+kzH4D7s/O48u7vwctH56g8x/jBH7Flfk/2GotYd2oa3fZfTY/LqlFGLIRwmL59+9KpUydmzpypdyhCuI/qLI97vjY3aReGZ4/BsfXQoo9jYhNCT+evDAPgEwhe/lCSr1WD1LMkCGD9gLuyGQPCc4WFhdm1AMKhSZCMjAxMJhNRUVE2+6Oioti7d2+Vz9+8eTO7du3i448/ttk/cOBAbr31Vlq0aMGhQ4d4/vnnueGGG9i4cWOF2aFp06YxZYpUKtjD+kNp/Jg8hWJ/Ex0KCnmk5/NaGatwGm+jD2/f+DG3r7iXPf4Kn64YTdumKwgNsE95mBCicqNGjWL+/PkX7N+0aRNt27a1fm3pFO/J3eKFqFJtKkF8AuDyW2DbfK0aRJIgoj46f2UYi4AGkH1cS4KExzk9LEdTFIXGjRvTqFEjiouL9Q5HuAhvb2+7VYBYOHw6TF18/PHHtG/fnm7dutnsv+uuu6z327dvT4cOHbjkkktYs2YN11577QXHmTBhAuPHj7d+nZ2dTWysfHJeU2fzinhy+TSKQtIIMpt5I7gD3l3H6B2WR4qN7sSzlwxn0pGvWB+aypufv8Ir90+WskEhnGDgwIF88sknNvsaNmxo9z/QQtRrZjNklK4ME1mDShDQVonZNh92/wA3TgffIPvHJ4SeCs9pW7/zkyARpUmQ+r1CjNFolL+pwqEcOpEyMjISo9FIWlqazf60tLQqy1lyc3P56quvGDOm6ovsli1bEhkZycGDByt83NfXl5CQEJubqBlVVXn020UUBK8C4MVzJpoO+UCWw9XRrVe/wHWGKEyKwiZlEV//tg6OrIWdi7St2aR3iELUS5aeVOVv1157rbXqo2/fvhw7downn3zSuoKZEOI8WclQnAdGn5p/oh3bDRpcCsW5sHuxI6ITQl8FF6kEAa0SRAhRaw5Ngvj4+NClSxdWrVpl3Wc2m1m1ahU9e/a86HO/+eYbCgsLuffee6s8z/Hjxzl9+jSNGzeuc8yiHLPJelG9bMXn7CuciarA4HM5DLpxNgRW3INFOM/U274kpgTSvA1s/mc06vyb4NsxMP8mmNkOdi/RO0QhHCo1N5XNKZtJzU3VOxSr7777jqZNmzJ16lTrCmZCiPNY+oE0aAXGGhYmKwp0ulu7v+ML+8YlhCsorKAnCEgSRAg7cfh0mPHjxzNy5Ei6du1Kt27dmDlzJrm5udbVYkaMGEGTJk2YNm2azfM+/vhjhg4dekGz05ycHKZMmcJtt91GdHQ0hw4d4plnnuHSSy8lISHB0d+O59i9BBKfJTU3jWPeXiwPDaEowJ9mxcU83/IOuPTCaUfC+YICGvJG3BBGJy/m5yB/FhQG07aoiGbFJURnp8DCEXDnAogfrHeoQlyUqqrkl+TX6DlLDi1h2qZpmDFjwMCE7hMYfEnNXuv+Xv41rtRYunQpQUFl5fc33HCDzeMREREYjUaCg4NlFTMhKmNZHrfhZbV7fsfh8OsrWnPUzMMQ0dJ+sQmht/JL5JYnSRAh7MLhSZBhw4Zx6tQpJk6cSGpqKp06dSIxMdHaLDUpKQnDecub7du3j3Xr1vHTTz9dcDyj0cjff//N/PnzOXv2LDExMVx//fW8/PLL+Pr6Ovrb8Qy7l8DCEXwXFMCU2BjMpRcIBlXl9fTTBHbvrnOAwspsotNf3/KoksO7EWHMiAgDRcGgqkzKyOTWnDxIfA7aDAKDzK0Uriu/JJ/uX9T+/xYzZl7d9Cqvbnq1Rs/bdPcmArwDavScfv368f7771u/DgwMZPjw4TU6hhAerzZNUcsLiYGW/eDQKtjxJfR/wX6xCaG3ipbIBUmCCGEnTmmMOnbsWMaOHVvhY2vWrLlgX+vWrVFVtcLx/v7+rFy50p7hifLMJq0CxGhgSmSENQECoAINTSb4+SW4fKhcVLuCYxsg+ySDjEbeDQ+19mgxKwpTIiPolV9AdPYJbZx00BfCLgIDA7n00kv1DkMI91ab5XHPd8U9WhLkry+h7wQwOHSWtxDOY10iN9R2f0CEtpUkiBB14tKrwwgdlF5UJ/n52iRAAFRFIdnbSy6qXUmO1nT4uLfXBU1qzZafl8lkHSeEq/L38mfT3ZuqPT4tL42hi4dixmzdZ1AMLB6ymKiAqIs888LzOoKPjw8mkzQnFqJCqlouCVLLShCA1oO0i8SsZDj6O7Tsa5fwhNDdxZbIBciVJIgQdSEpc2Gr9GK5WXEJynnVOAZVJba4xGac0FmQdrHXrLgEw8V+XkHVvygUQg+KohDgHVDtW4vQFkzqNQmDov0ZMygGJvWcRIvQFjU6jqNWbomLi+P333/nxIkTZGRkOOQcQritc6naRZ5ihIhLan8cbz9od7t2f/vn9olNCFdQII1RhXAkSYIIW6UXy5Emkzb1pZSlx0S0ZZ9cVLuG5r0gJIZok5lJGZk2iZAe+QVEmcwQ0kQbJ0Q9c2urW1l520rmJsxl5W0rubXVrXqHZDV16lSOHj3KJZdcQsOGDfUORwjXYukHEtESvHzqdqxO92jbPT9CQVbdjiWEq6iqEkSSIELUiUyHEbZKL6oXm7NI9/IiyGTitVOnaVtUXJoAUbRmZHJR7RoMRhj4Biwcwa05efTKL2B5UADvRITzp78fx70MxA58Xfq3iHorOjCa6EDnrcAyb968Cvef39+qR48e/PXXX44PSAh3ZI9+IBZNOmtTak7thX++hy6j6n5MIfRWWSVIYKS2zc8Es1n64AhRS/KbI2wZjGzv8Az/DdcaMT1yNpt++QVlCRAAuah2LfGDtWVwQxoTbTIxOuscPfLzKVYUpoQ3I7vlDVUfQwghhHAW68owdkiCKAp0ulu7v+OLuh9PCFdQWSWIf2ljVNUMBWedGpIQ9YkkQYQNs1nlPwd3csrLi6bFxdyVfa7swZAY7WI7frB+AYqKxQ+Gcbtg5FKU2z5mXPz9KKrKpiAT//3h/aqfL4QQQjhLxn5tW5emqOV1GKb1F0neBBkH7HNMIfRSUgQlBdr98ytBvHzKEiN5mc6NS4h6RKbDCBuf/rmTM76/APB4USA+9/0AeRlaD5DmvaQCxJUZjNYVey4HBhxazs/KGTadmcuJzDE0iQjUNz4hhBAC7FsJAhAcDZcOgAMrtWqQAZPsc1wh9GCpAoELK0FAWya3MLu0L4gs1y5EbUgliLAqKDbx4dY3KTGodCgoZOCA1+GSvtD+du3iWhIgbuXphHfwNasc9Dfx3uIpeocjhBBCQG5G6cWbAg1a2e+4V5Q2SP3rKzDL8tTCjVka/PoEVfzeW5qjClFnkgQRVjNW/0Z2gNbIb7xfS5TLrtM5IlEXjWO6cJuv9gnBVtNy/k5K1zkiIYQQHs/SFDWsGfgE2O+4lw0E/3A4dxIOr7bfcYVwtsLSqegVVYGAJEGEsANJgggAMnOLWHFoOqoCA3Lz6DLwbb1DEnbw+E3/JdxkJsVH4cNl4/UORwgbarklnYX7kZ+fqBXrVBg79QOx8PKF9ndq97d/bt9jC+FMhZWsDGMhSRAh6kySIAKAF1csIjvgOF6qyhON+0NUvN4hCTsIDInhXw16A7DNdzs//fWPzhEJAd7e3gDk5eXpHImoC8vPz/LzFKJa7Lk87vksq8TsWQr7lsPORXBkrUyPEe6loJKVYSwkCSJEnUljVMGhU9lsz5wNvnBnTgFxt7+qd0jCju694R2+WdCNJG8DC9c9xbXtl2M0KHqHJTyY0WgkLCyM9HRtilZAQACKIq9Jd6GqKnl5eaSnpxMWFobRKP2iRA04qhIEoHFHCI2FrGT4cnjZ/pAYGPiGrG4n3IN1edzgih8PKF0mV5IgQtSaJEEEE1Z8SI5vNsEmM49cPgqCGukdkrAjL58Axl5yF88kfc32gGQ+/+0XRvSTfi9CX9HR0QDWRIhwP2FhYdafoxDVZl0e1wGVIHt+1BIg58tOgYUj4M4FkggRrq9ApsMI4WiSBPFwGw6ncKzoC/CGf+WrhPX+j94hCQcYeM3zfD53EX95m1i5ezJ3XNUffx/59FboR1EUGjduTKNGjSguLtY7HFFD3t7eUgEiai7/LJxL0e5HXmbfY5tNkPhsJQ+qgAKJz0GbQbLanXBthVVNh4nUtpIEEaLWJAniwVRVZeovM8jzLSKmuIT7rnoJvP31Dks4gGIw8NSVz3Dfjmn8HZTNf5fP4z9Dx+gdlhAYjUa5mBbCU1iqQEKaVP4pd20d2wDZJy8yQIXsE9q4Fn3se24h7MmyRK5UggjhMNIY1YMt2rGHU94/AzDWHIpvh7t0jkg4UqeOd3NtiTa/dF3qbE6dK9A5IiGEEB7F0g/E3lUgADlp9h0nhF6slSChFT8uSRAh6kySIB6q2GTm/T9eo8igcnlhIYOunwEGeTnUd08NeBMfs8pB/2JmLp6mdzhCCCE8iXVlGAc0RQ2Ksu84IfRS3Z4gBVlgkumkQtSGXPV6qP9bu57T/n8BMC6gLYa43jpHJJyhafPe3OLVDIAtBd+xPzVT54iEEEJ4DEcuj9u8l7YKDJWtNKVo03Ca97L/uYWwp6p6gviHYX2d559xRkRC1DuSBPFA2QXFLNnzGmYF+ubl0+OGt/UOSTjREzfNJtRk5qQPvLfkGb3DEUII4SkcWQliMGrL4AIXJkJKvx74ujRFFa6vqkoQgxH8w7X7MiVGiFqRJIgHmrLye04HHMeoqoxregM0uETvkIQTBYe3YGRoVwC2G//g972HdI5ICCFEvVeUC1lJ2n1HVIKAtvztnQsgpLHt/pAYWR5XuI+qKkFA+oIIUUeSBPEwJ87msjl1FgC35hZzyYCpOkck9DBq0P/RtNjMWS+FBb+OR1VVvUMSQghRn1lWhglsCAERjjtP/GAYtwsCS3t/3PAmjNspCRDhPqqqBAFJgghRR5IE8TDPL/uQs37ZBJrNPNrhgbJyOuFRvP1CeLTZEAB2+B9i0R8bdI5ICCFEvebIqTDnMxghspV2P6CBTIER7kUqQYRwOEmCeJAdyafYn78AgJH5RiJ7Pq5zREJPN107lfZFCoUGhR+2PU9RiVnvkIQQQtRXjlwetyKhTbRt1nHnnE8IezCVQHGedt+vkiVyoayaKleSIELUhiRBPMiUlW+S411MVEkJo6+ZAl4+eockdKQYvRjf6TEA/g48zZyfFuockRBCXNzs2bOJi4vDz8+P7t27s3nz5ouO/+abb2jTpg1+fn60b9+e5cuX2zyuqioTJ06kcePG+Pv7M2DAAA4cOGAzZv/+/QwZMoTIyEhCQkLo3bs3q1evtvv3Vu+dKp0O44xKEIDQptpWkiDCnViqQAB8gysfJ5UgQtSJJEE8xPJ/DpJsWAnAIzTEL36ovgEJl9C16/30LfZDVRTWJM3gbF6R3iEJIUSFvv76a8aPH8+kSZPYtm0bHTt2JCEhgfT09ArHb9iwgeHDhzNmzBi2b9/O0KFDGTp0KLt27bKOefPNN3n33XeZM2cOmzZtIjAwkISEBAoKCqxjbrrpJkpKSvj111/ZunUrHTt25KabbiI1NdXh33O9YqkEcVRT1POFSCWIcEOWJIh3ABi9Kx8XGKltJQkiRK1IEsQDmMwq7/4+mUKjSpvCIm4Z+A4o5y8fJzySovBU39fwVlUO+BfyzhJZLlkI4ZrefvttHnjgAUaPHk18fDxz5swhICCAuXPnVjh+1qxZDBw4kKeffpq2bdvy8ssv07lzZ9577z1AqwKZOXMmL774IkOGDKFDhw4sWLCAkydPsnjxYgAyMjI4cOAAzz33HB06dKBVq1a8/vrr5OXl2SRTRBWKC+DMEe2+0ypBYrVttiRBhBspqEY/EJBKECHqSJIgHuDDDX+Q6v8XAE+EdMTQpIvOEQlX0vzS6xiC1kV/07kvOHY6u4pnCCGEcxUVFbF161YGDBhg3WcwGBgwYAAbN26s8DkbN260GQ+QkJBgHX/kyBFSU1NtxoSGhtK9e3frmAYNGtC6dWsWLFhAbm4uJSUlfPDBBzRq1IguXeRvabWdPgiqWetxENTIOeeU6TDCHVmbol5kKgxIEkSIOpIkSD2XX2Ti251TMSnQJ6+Q3je8o3dIwgWNu/H/CDGZOeGj8s7i5/UORwghbGRkZGAymYiKirLZHxUVVem0lNTU1IuOt2wvNkZRFH755Re2b99OcHAwfn5+vP322yQmJhIeXvHqaoWFhWRnZ9vcPF5GuZVhnFWJammMmn8GinKdc04h6qo6y+NCuSRIpmPjEaKeckoSpCaNzObNm4eiKDY3Pz8/mzHVaWTm8cwmOLKWBd+8QGrAcQyqyhNxg8veFAhRTmijeO4JaAfANtaw+4/vYOciOLJWey0JIYQHUlWVf//73zRq1Ii1a9eyefNmhg4dys0330xKSkqFz5k2bRqhoaHWW2xsrJOjdkHW5XGd1A8EtKoTy5SCrBPOO68QdVGd5XGhbHUYqQQRolYcngSpaSMzgJCQEFJSUqy3Y8eO2TxenUZmHm33EpjZDnX+Tfye8x0At57LpXWTbjoHJlzZ/Te/R5NiE2e8FH774wn4dgzMvwlmttNeU0IIoZPIyEiMRiNpaWk2+9PS0oiOjq7wOdHR0Rcdb9lebMyvv/7K0qVL+eqrr7jqqqvo3Lkz//3vf/H392f+/PkVnnfChAlkZWVZb8nJyTX/husba1NUJ/UDsbBOiZGfgXATNa0EKc6F4nzHxiREPeTwJEhNG5mBVn4aHR1tvZUvVa1OIzOPtnsJLBwB2Sf5OjiIv/188TObefTsWfjuQbmYFZXyObaRJzO1ssq5oSH8FOBPqtEI2Snaa0peO0IInfj4+NClSxdWrVpl3Wc2m1m1ahU9e/as8Dk9e/a0GQ/w888/W8e3aNGC6OhomzHZ2dls2rTJOiYvLw/Q+o+UZzAYMJvNFZ7X19eXkJAQm5vHsyyPG+nEShAoWyEmWypBhJsozNK2VVWC+IaAwUu7L1NihKgxhyZBatPIDCAnJ4fmzZsTGxvLkCFD+Oeff6yPVaeR2fk8Zn6u2QSJzwIqC4MCebWBNl+5UFFY6++vjUl8TqY3iAuVvnauz8unaXExBQYD/4lqSEJsDN8FBWhj5LUjhNDR+PHj+fDDD5k/fz579uzhkUceITc3l9GjRwMwYsQIJkyYYB3/xBNPkJiYyFtvvcXevXuZPHkyW7ZsYezYsYD2gcu4ceN45ZVXWLJkCTt37mTEiBHExMQwdOhQQEukhIeHM3LkSP766y/279/P008/zZEjRxg0aJDT/w3ckqlYa4wKzp0OA9IcVbgfayVI6MXHKYo0RxWiDhyaBKlNI7PWrVszd+5cfvjhBz777DPMZjO9evXi+HHtD1h1Gpmdz2Pm5x7bANknSTUaeSUywtp8TFUUpkRGkGo0aJ+GHNugc6DC5ZS+dtKMRk54eVl3m+W1I4RwEcOGDWPGjBlMnDiRTp06sWPHDhITE63vB5KSkmz6dPTq1YsvvviC//3vf3Ts2JFFixaxePFi2rVrZx3zzDPP8Nhjj/Hggw9y5ZVXkpOTQ2JiorUXWWRkJImJieTk5NC/f3+6du3KunXr+OGHH+jYsaNz/wHKK+375Ra9mzKPgLkYfILKkhLOYumDJkkQ4S6q2xMEJAkiRB14VT3EuXr27GlT2tqrVy/atm3LBx98wMsvv1yrY06YMIHx48dbv87Ozq6fiZAcbV7zYW8v1PO6r5sVhWRvL6JNJus4IaxKXxNJ8toRQriwsWPHWis5zrdmzZoL9t1xxx3ccccdlR5PURSmTp3K1KlTKx3TtWtXVq5cWeNYHWb3Eq3qM/tk2b6QGBj4BsQP1i+uylj6gUS2ct7KMBahpe/1JAki3EV1e4KAJEGEqAOHVoLUppHZ+by9vbniiis4eFArpaxOI7Pzecz83CDt07B9Pj4XPGRQVWKLS2zGCWFV+ppoVlyCQVVtHpLXjhBCuIhyfb9suHLvpvLL4zqbTIcR7qZGlSCyQowQteXQJEhtGpmdz2QysXPnTho3bgxUr5GZx2rei6KgxnwbHASAUnoxa1BVJmVkEm0ya03CmvfSM0rhipr3gpAYok1mJmVk2iRCuuYXEiWvHSGE0Fe5vl8XKt3nir2b9Fge16J8Y1S1on83J3CnqUtCfzWqBInUtpIEEaLGHD4dZvz48YwcOZKuXbvSrVs3Zs6ceUEjsyZNmjBt2jQApk6dSo8ePbj00ks5e/Ys06dP59ixY9x///2AbSOzVq1a0aJFC1566SWbRmYey2DkrYb9OMY6Qk0mPj2ZRoaXkdjiEi0BAjDwdTAY9Y1TuB6DUSulXjiCW3Py6JVfwMpAf2Y0iOAvPx9OGwxEymtHCCH0U9q7qXJqWe+mFn2cFlaV9FoeF7RpQihQUqBdKAZGOvf87jZ1SehPeoII4RQOT4IMGzaMU6dOMXHiRFJTU+nUqdMFjczKLz135swZHnjgAVJTUwkPD6dLly5s2LCB+Ph465hnnnmG3NxcHnzwQc6ePUvv3r1tGpl5qrN5RfxcuAV84e5zebQoKaFFSek0hpAmWgJE/uiKysQPhjsXQOKzRGefZER2Dj8FBvK3ny/TIjvwlrx2hBBCP9XtyeRKvZvMJsg4oN2PvMz55/fy1aZx5qRCVrJzkyCWqUvnV+5Ypi7duUDek4kLFZ7TttITRAiHckpj1Jo0MnvnnXd45513Lnq86jQy80QzfvmUU74FBJjNDL/2He2PfU6a9gageS/5FF9ULX4wtBkExzag5KRx976l/J27lXX+Gfx5+DBXtmypd4RCCOGZqtuTyZV6N51N0qowjL4QHqdPDKFNSpMgJyDmCuecs8qpS4o2danNIHlvJmwVSCWIEM7g0J4gwnnyi0z8mfIRAIMLfQm/fKhWDtv+dm0rf2RFdRmM1tfODUPm0KLYTJ5BYf6qF/SOTAghPFdp7yaobIUVxfV6N1n6gURept/7ED2ao9Zk6pIQFmYTFFkqQUKrHm9tjJrpuJiEqKckCVJPvLv6O0765eCtqozpPt75y9CJesng7cewhv0A2GHcyd4UFyqzFkIIT2Lp3QRcmAgp/drVejdZ+4HoMBXGIsSSBEl23jndceqS0J9lKgyAb3DV46USRIhakyRIPVBsMvP7kf8D4MYCI9Ed79Y5IlGfDEt4lZhiM1lGhf+tkGoQIYTQjaV3U0hj2/0hMa7ZY+KUjsvjWlgqQbJPOO+c7jh1SejP0hTV6Kv1s6lK+SSIXqsfCeGmJAlSD3y47ieS/M9gUFX+1ekhMMiPVdiPl18ot4V0BWC7+gfJmVk6RySEEB4sfjCM2wXxQ7Wv2w6BcTtdLwECkKHj8rgWekyHccepS0J/NVkeF8qSIKYiKMpxTExC1FNytezmzGaVlXtmADCgQKXllQ/qHJGoj0be+CYNSsxkeCm8v3SS3uEIIYRns/RuAu0CyJWmwFioqotUgjTRts5MgthMXTqfi05dEvqryfK4AD4B4OWv3ZcpMULUiCRB3NznWzZyxC8VgNFt7gOjUxb8ER7GNyiKIX5tAdhSuIqMc3k6RySEEB4uvIW2PXNU1zAqlX1C+3Ta4AUROq4sFhqrbc+lgqnYeee1TF3yj7DdH9jQNacuCf3VtBIEyqpBciUJIkRNSBLEjamqyuJtr6IqClfnl9DuqnF6hyTqsQdumE6IyUyKD8xe+rre4QghhGeLKJcEccV+AJYqkIhLwOitXxwBkVqPBdQqVmxxgPjB0Huc7b6EVyUBIipW00oQKLdCjCRBhKgJSYK4saW7dnLI7xgAI1rcAt5+Okck6rOgiBbcaIwDYPO5H8gpcOInakIIIWyFxoJihJJ8rcrB1ZxygX4goPVJC4nR7jtzSozFmWO2X2cecX4Mwj0UlPZcq0klSGCktpUkiBA1IkkQN/bFximYFIWuBSV07/u83uEID/Bwwuv4m80k+ZqZs/xdvcMRQgjPZfQua/p5xgUvrK3L4+qcBAF9VoixyDysbRtcqm1PH3R+DMI9WCtBQqv/HFkmV4hakSSIm/r94CH2e2ufstwbPQB8g3SOSHiCBtHtuV7VlvRbf+pzCktMOkckhBAezDIlxhWrC1yhKaqFdYWYZOef25KganW9tpUkiKhMXXqCeGoSxGyCI2th5yJta5b3paJ6JAnipj5aM5kig8LlhcX0v26K3uEID/Jw/5fxVlUO+hXz8U+f6B2OEEJ4LmtzVBdLgqiqa1aCZDm5EsRUDGdLEy+XDtC2pw+5Zg8Xob9a9QTx4CTI7iUwsx3Mvwm+HaNtZ7bT9gtRBUmCuKG/jp9kn2EHAMPDe6IERFz8CULYUdO4q+hXEgbAb0n/w2SWN3NCCKGLCBddISb3FBScBcVQNg1ET9YkiJN7gpxNAtUEXn7QvBegQGEW5GY4Nw7hHmpVCeKhjVF3L4GFIy5sdpydou2XRIiogiRB3NB7P08lzwgti4q5eeA0vcMRHuihq57HoKrs9s/n898W6R2OEEJ4pnAXnQ5jqQIJaw7e/vrGAhCiUxLEUqET3kL7dwgrXa5XpsSIihSe07a1qgTJtH88rspsgsRngYo+hCvdl/icTI0RFyVJEDdz+PQZ/jFvAGBYYEcMwdE6RyQ80WVtb6R3cQAAK/fORJXSXiGEcL7wOG3ratNhXKkfCJRrjOrkJIglOWWp2JHmqOJiCqUnSLUc21DFcteq1gT52AanhSTcjyRB3Mw7y1/lnJdKTHEJdw58Q+9whAe7v8s4AHb5Z7F408/6BiOEEJ7IcnGdd7qslN4VuMryuBahTbRtQZZz/50s05TCJQkiqqFAeoJUS06afccJjyRJEDeSlp3LX4XaxebtPpfiFRGnb0DCo13R+W66FXpjVhSW7JBpWUII4XS+wRAQqd13pWoQa1NUF6kE8Q0Gv9JlR525TK5leVypBBHVUZfGqPmZYDbbPyZXFBRl33HCI0kSxI3MWDGDM95mGpSYuC9BqkCE/kZePgaAHX6n+PXvTTpHI4QQHsgVl8m1VoJcpm8c5YWW9uNw5goxF0yHuaR0/2HnxSDcR20ao/qXNkZVzVozYk/QvBeExFxkgAIhTUqbEQtRMUmCuIms/EK2ZS8G4BYlBr+oeH0DEgK4utejdChUKFEUvt44Se9whBDC84S72AoxeZmQm67dj3SlJIilOWqyc85nNl84HSaiNAly+pDnfGovqsdsrl0liJdP2XhPmRJjMEJCZRXIirYZ+Lo2TohKSBLETbyd+F/SfUoINpn513Wv6R2OEBpF4e6WwwDY5nOcLQf36ByQEEJ4GOsyuS5SCZKxX9uGxmrTUFxFSGlfEGdNh8lJhZJ8UIwQ1kzbF9YMDN5gKnR+k1bh2opysK5sUpNKEPDMviCqJYmo2O4PaQx3LoD4wU4PSbgXSYK4gfyiEv449TkAN5sjCI7tpnNEQpS5sd+zXFakUmBQmL/6eb3DEUIIz2JZIcZVpsNY+oG4UhUIlKsEcVLywfLzCIsFo7d232CEiJbafekLIsqzVIEYvMHLr2bP9bQkiKrC+pna/WuegZE/lk0LuvldSYCIapEkiBt495f5nPQtxN9s5v5rZMqBcC2K0Ys7Gw8CYIvxAHtOJOkckRBCeJBwF6sEcbXlcS2cnQSx/DwsPx8La3PUQ86JQ7iH8v1AFOXiY8/naUmQw6sh5S/wDoDuD0OLq+GyBO2xpI36xibchiRBXFyJycza5A8BuKE4iIatBugckRAXuiNhCs2KzeQYFT5KnKB3OEII4Tks02GyjkNJkb6xgOstj2uhVyVIxPlJEEtfEKkEEeXUph+IhaclQda9o207j4SA0gqQuN7a9ug6fWISbkeSIC7uw9++5ZhfLl6qypgez+odjhAVMnj7cUv41QD8yV8cP+0hf4iFEEJvQVHaJ6Kq2XlNPy/G1StBsk84pympZQWYSitBJAkiyqnNyjAWlkSAJyRBTmyFI7+DwQt6/rtsvyUJcmIrFOboE5twK5IEcWFms8pPB94F4LpCH5q1v0XniISo3IhBrxNVYuaMl8L7S6UaRAghnEJRyvqC6D0lpiC7rOGnKy2PCxDcGFDAVAS5pxx/PsvPwtIDxEKSIKIidqkEybRfPK5q3Uxt2/5Ord+ORXgchDYDcwkkb9IjMuFmJAniwr7c9DMH/c5iUFVGd36s5nMEhXAiH79QBgd0BuCP4g2cPperc0RCCOEhLNUGejdHzTigbYOiwD9c31jOZ/QuTYTgnJVZKp0OU5oEOZsEJYWOj0O4h4IsbesXWvPnesp0mIwDsOdH7f5VT1z4uEyJETUgSRAXpaoqS/5+HYCrCwy07TJS54iEqNr9N80g3GQm3Vvh/R8n6h2OEEJ4BmslyFE9o4AMF+0HYuGsviB5mVBwVrtv+dlYBDUCn2Bt+pLePy/hOqQnSNXWzwJUaH0jNKpgup0kQUQNSBLERS39exN7fdMBGHn5v8AgPyrh+gKCo7jRW/vDtC73Z3ILXKBJnxBC1HcRLlIJYl0e11WTIE20bdYJx57HMhUmKAp8Am0fUxRpjiouVKeeIB6QBMk+CX99pd3v/WTFYyxJkJPbpC+IqJJcWbsaswmOrGX5hv9gVhR65Kt0veoxvaMSotoeuvFNgkxmTviofPrNv2HnIjiyVnttCyGEsD9XWSbXVVeGsXBWJUhmJf1ALKQviDhf4TltW5dKkNx6nAT5479gLoZmvSC2W8VjwptDmKUvyB/OjU+4HackQWbPnk1cXBx+fn50796dzZs3Vzr2ww8/pE+fPoSHhxMeHs6AAQMuGD9q1CgURbG5DRw40NHfhuPtXgIz25H22RD+8NfmBj6ckwt7l+kcmBDVF97gEm4yhQHwW/5vqN+Ogfk3wcx22mtcCCGEfVkqQc4cBVXVLw5XXRnGIsSSBHHwKjqWZNT5K8NYWJMghxwbh3AfhXWoBAmMLD1GFpiK7ReTq8g/A1s+0e5XVgViEddH28qUGFEFhydBvv76a8aPH8+kSZPYtm0bHTt2JCEhgfT09ArHr1mzhuHDh7N69Wo2btxIbGws119/PSdO2JYuDhw4kJSUFOvtyy+/dPS34li7l8DCEZB9kvfDQihRFNrnF9Al54y2Xy4ehbvYvYSHU/bgZzazy9eX+SFBpBqNkJ0ir2UhhHCE0FhQDFCcBzkVv79yuOL8sh4XrpoEKb9MriNV1hTVwjodRpIgopRlOoxvcM2f6xeq/f5D/Vwh5s+PoCgHGl0Ora67+FjpCyKqyeFJkLfffpsHHniA0aNHEx8fz5w5cwgICGDu3LkVjv/888959NFH6dSpE23atOGjjz7CbDazatUqm3G+vr5ER0dbb+HhLtaFvCbMJkh8FlD5LCSIb4ODANjl58t3QQHamMTnZDqBcH2lr+UGZhMdS/uBvNUggoTYGHktCyGEo3j5lF3g6zUlJuMAoGqrwlg+mXY1LjMdRnqCiPPUpTGqwVi2GlN96wtSnA9/zNHu936y6pUyLUmQE9vKphgJUQGHJkGKiorYunUrAwYMKDuhwcCAAQPYuHFjtY6Rl5dHcXExERERNvvXrFlDo0aNaN26NY888ginT7vxL/2xDZB9klSjkTcjwq2/4KqiMCUyglSjQfvU4tgGnQMVogrlXst/+vtad5vltSyEEI5lWYVEr+ao5afCVHWhohdLEiQnzbHL01Y1HSaiNAmSkyoXakJTl8aoUH+bo27/DPIytF4fl99S9fiwZhDWHFQTJG1yfHzCbTk0CZKRkYHJZCIqKspmf1RUFKmpqdU6xrPPPktMTIxNImXgwIEsWLCAVatW8cYbb/Dbb79xww03YDJV/OlyYWEh2dnZNjeXkpMGwCEfL9Tz3jiYFYVkby+bcUK4rNLXaJK3F2Z5LQshhPPo3RzV1ZfHBe1C0ctPu5990jHnKMqDcyna/cqmw/iHQWBD7b5MiRGg9fMA8A2t3fPrYxLEVAIb3tXu93ocjF7Ve561L8hax8Ql6gWXXh3m9ddf56uvvuL777/Hz8/Puv+uu+5i8ODBtG/fnqFDh7J06VL+/PNP1qxZU+Fxpk2bRmhoqPUWGxvrpO+gmoK0JNEBb58LHjKoKrHFJTbjhHBZpa/RZsUlGM5rzievZSGEcCA9l8k1m8rm4Bu8XXfKo6I4fkqMpS+Kb2jZFIWKyAoxojypBLnQP9/D2SQIiIRO91T/edIXRFSDQ5MgkZGRGI1G0tJsP/VNS0sjOjr6os+dMWMGr7/+Oj/99BMdOnS46NiWLVsSGRnJwYMV/yGZMGECWVlZ1ltysoO7gtdU816Yg2NYEqytJa+UXjwaVJVJGZlEm8wQ0gSa99IzSiGq1rwXhMQQbTIzKSPTJhHSM79AXstCCOEoelWClK5sR1LpNOc/P3Tt1cBCmmhbRzVHPVOuKerFpgVJc1Rhoap1WyIXIKC0bUB9aYyqqrB+pna/+8PgE1D951qSICe3y3QzUSmHJkF8fHzo0qWLTVNTS5PTnj17Vvq8N998k5dffpnExES6du1a5XmOHz/O6dOnady4cYWP+/r6EhISYnNzKQYjX8f054CPD/5mM9+dSGFuShork09ya06eNmbg61rjIyFcmcEIA98A4NacPFYmn+TxzLMA/O3rS66iyGtZCCEcofwyuc5SbmU7G668GlhoaTWwo5bJrWplGAupBBEWRblaDwuQShCLg79A2i7wCYJu99fsuWGxWo8k1QRJfzgkPOH+HD4dZvz48Xz44YfMnz+fPXv28Mgjj5Cbm8vo0aMBGDFiBBMmTLCOf+ONN3jppZeYO3cucXFxpKamkpqaSk5ODgA5OTk8/fTT/PHHHxw9epRVq1YxZMgQLr30UhISEhz97TiEqqr8kP0nAENyCri0uIQrCwqJNpkgJAbuXADxg3WOUohqih+svWZDGhNtMjEmK5vmxcWcMxqY07i7vJaFEMIRLI1Rc08559PPcivbXah0nyuuBhZaWgniqOkwmYe1bWVNUS0kCSIsLCvDKEbwrkHFQ3n1LQmy7h1t22XUxaeVVcY6JUb6goiKVbPDTO0NGzaMU6dOMXHiRFJTU+nUqROJiYnWZqlJSUkYDGW5mPfff5+ioiJuv/12m+NMmjSJyZMnYzQa+fvvv5k/fz5nz54lJiaG66+/npdffhlfX1/c0YrNy/jHLx9FVbml/3sQEKQ1jgyK0qYNyKfmwt3ED4Y2g+DYBgw5adyw/QvmqAf4yZDMIwUFBJTr8SOEEMIO/ELBPwLyM7VqkOj2jj1f6WpglVPLVgNr0cexsdSEtSeIo6fDVLI8roU1CXJIK/131RV1hOOV7wdS29dBfUqCJG+GY+u1/kI9/127Y8T10VaWkb4gohIOT4IAjB07lrFjx1b42PnNTI8ePXrRY/n7+7Ny5Uo7ReYaluyYAX5wZZE/8ZffoHc4QtiHwWh94zuixTV8vrAvJ70NfLJ0Kv++/TWdgxNCiHooogWcyNSmZDg6CVLdVb5cbTUwRzdGre50mPAWgKKtCpKbAUENHROPcH2WSpDa9gOB+pUEWTdT23YcplXE14a1L8gOLclU22lGot5y6dVhPME/h3eyxScDgDva/kvnaIRwjOCghlxt0D4V++30MlS1ovJpIYQQdeLM5qjVXeXL1VYDC3FgEsRUXNZrpKrpMN5+Wu8CkCkxnq6uK8OAtoIKuH8SJH0v7FsGKNDridofJ7Sp9jsofUFEJSQJorPPfn2JQoPCJUUKCVc9pHc4QjjMA9e+jFFV2eNn5ofVc/UORwgh6h9nNkctXQ0MKivfV1xzNTBLT5Cic1CQZd9jZyWDuQSMvhBccbN+G5YpMZmyQoxHKyx9HfqG1v4Y1tVh3DwJsn6Wtm17EzS8rG7Hkr4g4iIkCaKj02fS2aAcAOCGqBtQDPLjEPXXJbGd6FaiNbdavv9/OkcjhBD1kKX6INMJlSDlVgO7UGlixBVXA/MJ1HqngP2rQcpPhanOe7oIyzK5Ugni0SyNjOtUCVI6HaY4D4ry6h6THs4mw86F2v2rnqz78eJKexFJEkRUQK66dTRv2QtkehmILFEZPXCy3uEI4XB3dx4HwJ9+uWzd9Zu+wQghRH1jWSHGGdNhQGuC3Wf8hftdfWU76woxdm6Oavl3r2oqjIWsECOgbDpMXXqC+AZrjURBa47sjv74r1ZJFdcHmnap+/EslSApf9m/6ku4PUmC6KSkuIjf8zcAcI1fZ3x8/HWOSAjH69v5NtoUeVOiKHy94RW9wxFCiPrFMh3mbLLWn8IZvEpX+2rZD277GEYuhXE7XTcBAhBa2ovD0r/DXqrbFNWi/AoxwnMV2qEniKK4d3PUvEzYOk+739sOVSCgJTsjWoJqlr4g4gKSBNHJwmWvctjHgJ9Z5ZFB0/QORwinGdTsTgDWe50kNe2YztEIIdzJ7NmziYuLw8/Pj+7du7N58+aLjv/mm29o06YNfn5+tG/fnuXLl9s8rqoqEydOpHHjxvj7+zNgwAAOHDhwwXGWLVtG9+7d8ff3Jzw8nKFDh9rz27KfoGgtKaGa7H+BX5mUv7Rtq+uh/e3aqmCuNgXmfCGWShBHTYepYnlciwaW6TCHwGy2byzCfVgrQYLrdhx3ToJs/p82lSe6A1zS337Hlb4gohKSBNGDqvJL6vcAdKM5UWFNdA5ICOe599r/EFUM2UYD81ZM0DscIYSb+Prrrxk/fjyTJk1i27ZtdOzYkYSEBNLT0yscv2HDBoYPH86YMWPYvn07Q4cOZejQoezatcs65s033+Tdd99lzpw5bNq0icDAQBISEigoKLCO+fbbb7nvvvsYPXo0f/31F+vXr+fuu+92+PdbKwZD2ZQYZ/QFAW0JSoDGHZ1zPnuwLJObrfN0mLBm2hQGUyFkO2jJXuH67LFELpRrjupm02GKcmHTHO1+73FaVYu9WPqCHJEkiLAlSRAdrF03jz/9VRRVZcw1k/QORwin8vLypn+Ilpn/vXgHBfm5OkckhHAHb7/9Ng888ACjR48mPj6eOXPmEBAQwNy5Fa82NWvWLAYOHMjTTz9N27Ztefnll+ncuTPvvfceoFWBzJw5kxdffJEhQ4bQoUMHFixYwMmTJ1m8eDEAJSUlPPHEE0yfPp2HH36Yyy67jPj4eO68805nfds1F+7EFWJyM8ou3qPbO/589hLqgGVyVbXm02EMxrKqEekL4rnssUQuuG8lyLZPIf+M9n9X2yH2PbalEiT1b8g/a99jC7cmSRAd/LDrfQDalYTRuWU3naMRwvkeufFVAk0qyT5Gvlg6We9whBAurqioiK1btzJgwADrPoPBwIABA9i4cWOFz9m4caPNeICEhATr+CNHjpCammozJjQ0lO7du1vHbNu2jRMnTmAwGLjiiito3LgxN9xwg001icuxLpPrhEoQy1SYBpfW/QLOmaxJEDtOGTqXCiX5oBjKeo5Uh/QFEXarBHHDJIipGDb8n3b/qsfB6GXf44fEaKswSV8QcR5JgjjZ4d1r+N1P++T7tvaP6RyNEPoID4qgp7EVAKsyE1FlLrQQ4iIyMjIwmUxERUXZ7I+KiiI1NbXC56Smpl50vGV7sTGHDx8GYPLkybz44ossXbqU8PBw+vbtS2ZmxSXnhYWFZGdn29ycypnTYVJ2aFt3mgoD5abDpIDZZJ9jWpJOobHg5VP95zWQZXI9nmXlEr/Quh3HnZIgZpM2RWXFs1o1WUBD6OigaYbSF0RUQJIgTvbV2qnkGww0Lfbh1m4uXE4rhIM92H8qRlXlbz/4afUHeocjhBAXMJcmaF944QVuu+02unTpwieffIKiKHzzzTcVPmfatGmEhoZab7GxNagKsAdnToexVIK4WxIkKBoUI5iLIafinjI1VtOpMBayTK7wtEqQ3UtgZjuYfxNs+VjbZyqEAz855nwtrta2kgQR5UgSxInOpe7nFy/t06UBTe5AsWfjHyHcTNvY9nQqiQTgxwMf6xyNEMKVRUZGYjQaSUtLs9mflpZGdHR0hc+Jjo6+6HjL9mJjGjduDEB8fLz1cV9fX1q2bElSUlKF550wYQJZWVnWW3Kyk1ZpsbBchGce0fpUOJI1CdLJseexN6MXBGs/W7s1R61pU1QLSYIIe/UECdTeU5GbUbfjONLuJbBwBGSftN1feE7bv3uJ/c/Z/CptmyJ9QUQZSYI40VcrJnDKy0hoicK/B4zXOxwhdHdXl/8AsN6vgH92OugTACGE2/Px8aFLly6sWrXKus9sNrNq1Sp69uxZ4XN69uxpMx7g559/to5v0aIF0dHRNmOys7PZtGmTdUyXLl3w9fVl37591jHFxcUcPXqU5s2bV3heX19fQkJCbG5OFdYMUKA4F3JPOe48+WfKqk0ad3DceRzF3n1BMrWpU7WuBDmbBCVF9olFuA9V9ZzVYcwmSHwWqCg5W7ov8Tn7TVGzCGlc+numQlLFPaSE55EkiJOYzmXwU/E/APQMuho/7xrMFxWinhp4xc1cUuRLiaLw5YZpeocjhHBh48eP58MPP2T+/Pns2bOHRx55hNzcXEaPHg3AiBEjmDChbNntJ554gsTERN566y327t3L5MmT2bJlC2PHjgVAURTGjRvHK6+8wpIlS9i5cycjRowgJiaGoUOHAhASEsLDDz/MpEmT+Omnn9i3bx+PPPIIAHfccYdz/wGqy8u37ALfkVNiUv7WtmHNwT/ccedxlNAm2tZeK8RYp8O0rNnzghqBT5DWuNEZU5iEaynOB3OJdr++rw5zbMOFFSA2VK0y69gG+5/b2hdknf2PLdySnVvwisosXz6Rvb7e+JjhiYET9Q5HCJcxsNlwZqfO4zfvNDJS9hPZ+DK9QxJCuKBhw4Zx6tQpJk6cSGpqKp06dSIxMdHa2DQpKQmDoeyznV69evHFF1/w4osv8vzzz9OqVSsWL15Mu3btrGOeeeYZcnNzefDBBzl79iy9e/cmMTERPz8/65jp06fj5eXFfffdR35+Pt27d+fXX38lPNyFL/zD47QKh8wjEOugVegsU2FiOjnm+I5mrQTReTqMomjNUVP+0qbENJS/gR7FUgWiGLRkWF2UT4KoqvbaciU5aVWPqcm4mojrA1vnwZHf7X9s4ZYkCeIMxfmsyPwVArzpYGhD09BGekckhMsYM+BxFs6bzykvI58lPs+40Yv0DkkI4aLGjh1rreQ435o1ay7Yd8cdd1y0YkNRFKZOncrUqVMrHePt7c2MGTOYMWNGjePVTXic1gTQkcvkuuvKMBaWZWztMR0m/4x2g7LVeWqiwaVlSRDhWSz9QHyD65608C+dDmMu1npsuNqy1UFRVY+pybiasFSCpO7UflfdsXpN2JVMh3GCrb++wzp/Ld/0wDVSBSJEed5Gb3oHXwPAqpJ/KMnL0jkiIYRwc+WbozqKu64MYxFix+kwln/noCjwrcWn+dIc1XMVntO2vnVcHhfAJwC8A7T7rjglpnkvCIm5yABF+71s3sv+5w6OhgatABWOSV8QIUkQxzOb+OHg56iKwqUljegV117viIRwOY/dOBV/s8pRHy++WfaS3uEIIYR7sy6T66AkSEF22QW7u60MY2GZDmOP1WFqOxXGwpoEOVT3WIR7KSz94MdeVRvWKTEu2BzVYISBb1TyYGkVzMDXtXGOIH1BRDmSBHGwE1u+JLE0KXtrx3G6xiKEq2oYFM6VhjYArDz9C5hKdI5ICCHcmKMrQVJ3atuQpmXLcrobSxIk9xQUF9TtWNamqLVNglyibaUSxPMU2GllGAvrCjEuWAkC0PZmCKpgWfOQGLhzAcQPdty5W/TRtkelL4iQJIhjqSrf/vkO+QYDjYoDuKfzIL0jEsJlPdh/KgZVZau/kd9W/5/e4QghhPuyVCTkpkNRrv2P7+5TYUDrCWCZOlDXapDMOlaCRJQmQXJSy6ZHCM9QWK4niD24+gox6bu117nBB4YvhNs+hpFLYdxOxyZAAJpb+oLscs1KGeFUkgRxoNwDq1nilwfANbH32nStF0LY6hgbT7sSrWnwDwfma53NhRBC1Jx/GPiFafcdseyqu68MA1oTSusKMXXsC3KmlsvjWviHQWBD7b5MifEslkoQu0+HcdEkyD+LtW2rAdA6AdrfrlVoOGoKTHnBURB5GaBCkvQF8XRyVe5AP6x+mTQvLwJNRsb3u1/vcIRwebdf8R8AfvMr4cBfP+ocjRBCuDFHTolx95VhLOzVHLWu02FAmqN6qkJ7T4dx4SSIqsLuxdr9+KH6xBBnmRIjfUE8nSRBHMScspMfFa288org6wny8dc5IiFc39DON9KsyJ8ig8JXm97UOxwhhHBfjmqOWpQLGfu1++6eBLFHc9TifDh3Urtf2+kwUK4viFSCeBS7V4KU9ujJy7DP8ewpfY/2f4fRB1oP1CcGS3PUI2v1Ob9wGZIEcZA1P01hl68vXmZ49tr/6B2OEG5BURQGNLsHgJ+9M8k6vlPniIQQwk05qhIk7R9QzVpzw+AKGhy6k9BYbZuVXPtjWKYb+YaWNaWsDakE8Ux2rwSxNEZ1wZ4Xu3/Qtpf0Bz87LAlcG5YkSJr0BfF0kgRxhKzj/JC7A4DLjFcQFxGlbzxCuJFHr32U8BIDZ4xGvvjpBb3DEUII9+SoSpCTO7Stu1eBAITaYTqMdSpMnNZnpLYkCeKZChy1RK4LTofReyoMQFAjiGwNqHBsg35xCN1JEsQBdq96nTUBfgA83PspnaMRwr34ennTM7g/AImm/Ziy03WOSAgh3JClEsTejVHrw8owFtbGqHWYDnOmjivDWFhWiMk8JI3BPYm1EsROlRGumgRJ3wun9oLBG1rfoG8sLaQviJAkiP3ln2HxiRWYFYUmJbH0a9lB74iEcDvjBr6ErxkO+3jzw4qX9A5HCCHcT3ictj2bBKYS+x23XiVBLNNhjtc+8ZB5WNvWpSmq9fmKVhngahewwnE8ZXUYSxXIJf201ZD0ZJkSc1T6gngyL70DqDfMJji2gdN/fMAPQVoVyK3tx+oclBDuqXFIBJ0Ml7OJf1hx5jduLc4Hb2kuLIQQ1RYcA0ZfMBVC9vGypEhdFBfAqT3afXdeHtciJEbbFudCwVnwD6/5MTIrXh5XVVX2Zu5ldfJqViev5uCZg3Ro2IH+zfrTL7YfzUKa2R7H219LymQlaVNiAiNrHotwP45aHSb/jHZt4oylZ6vD0g/ETlNhsgqz+P3476xOXs36E+sJ9gmmb2xf+sf258roK/E2elf+5Obn9QWpSy8f4bYkCWIPu5dA4rOQfZKlIcHkNQgnrqiE+wOL9I5MCLf1YN+JbF59J3/4e7Nt8Xg6t7kWgqKgeS/X+aMuhLsrTeCTkya/X/WNwQDhzbXVGDKP2CcJkv4PmEu0Cy3L8rLuzNtfW00jL0OrBqlNEqTcdJhiczFb07ayOklLfKTkptgM3Za+jW3p25ixZQaXhl1Kv9h+9Ivtx+WRl2NQDNoKMZYkSLMedvgGhcuzeyVI6QW9ataqilzhAv/UfkjfDQYvaHNjrQ9z/Nxxa1JxW9o2TKrJ+lheSR5f7/uar/d9TZB3EL2b9KZ/s/70btKbYJ9g2wMFNYSGbbTpOcfWQ9ubax2TcF9OSYLMnj2b6dOnk5qaSseOHfm///s/unXrVun4b775hpdeeomjR4/SqlUr3njjDW68seyXRlVVJk2axIcffsjZs2e56qqreP/992nVqpUzvh1bu5fAwhGASgnweaj2izYyKxvDN6NAWQDxg50flxBurlvzeDoWBbPDN4clqYl0/ucL7YGQGBj4hvxeCVFX5RL4VvL7Vb+Et9CSIGeOAP3qfrzyU2Hq0gTUlYQ2KUuCRLev2XNNJeRkJbMuMIDVhxey9o9nOVd0zvqwn9GPnjE9rYmOP1P/ZHXSarakbeHg2YMcPHuQD3d+SEP/hvSN7Uu/4FC6Az7SHNVz2LsSxOit9RcpLJ1W5QpJEMtUmJZ9a5RoVFWV3ad382vyr6xOXs2BMwdsHm8V3op+sf3o27QvZwrP8GvSr6xJXsPpgtMkHk0k8WgiXgYvroy6kn7NtIRjdGDpilZxfbQkyJG1kgTxUA5Pgnz99deMHz+eOXPm0L17d2bOnElCQgL79u2jUaNGF4zfsGEDw4cPZ9q0adx000188cUXDB06lG3bttGuXTsA3nzzTd59913mz59PixYteOmll0hISGD37t34+fk5+lsqYzZpbyDR5pF+GxRIipcXoSYTN+XmamMSn4M2g+STNSFqavcSnjh9iNExUfwYFEDvvHzaFRURnZ2iJR7vlASjELVWLoGfajSS5O1Fs+IS+f2qb+y9TK51ZZhO9jmeKwiN1ZI7NVghJj0vnTXJa/j10FI2x0ZTrChwfA0AEX4RXNP0GvrF9qNHTA/8vcqmcl4Wfhn3tL2HrMIs1p5Yy+qk1aw7sY5T+af4Zv83fAMENG/KVSm/0O9QF65uejWh9mqYKVxPcQGYSqvG7VUJAlriw5IEQYcPiM9Xg6kwxaZi/kz9k1+TtYRGWl6a9TGjYqRzVGct8RHbl9jgWJvnXt30asyqmb9P/W2tGDmSdYSNKRvZmLKR1za9RtuItvRr1o/+jS7hMkCR5qgeS1FVx7ag7t69O1deeSXvvfceAGazmdjYWB577DGee+65C8YPGzaM3Nxcli5dat3Xo0cPOnXqxJw5c1BVlZiYGP7zn//w1FPayitZWVlERUUxb9487rrrripjys7OJjQ0lKysLEJC6vCfzpG1MP8mAL4LCmRSZAQoCoqqMjkjk1tzShMhI5eWdSIWQlTNbIKZ7TBnn2Rg08akeGtzOw2qyqSMTG7NydM+sR63UxKMQtRU6e8X2Sf5JiiQVyIjMCuKXX+/7PZ3th7Q9d/ijznahzVtB8OwT+t+vA+ugZQdcMd8uHxo3Y/nClY8C5vmwFXj4LopFQ5RVZWDZw9qF1ZJq9l1epfN43FmhX7tR9GvWT86RHbAWIPfmyJTEZtTN7M6aTVrjq4kvSjL+phRMdI1qqv1U+yYoJhafYvCReWcghmXAgpMzNSmsNnDh9fCiS1w1xfaB7F6yjgI73XRpsI8daDCypTsomzWHV/H6mQtKZhTnGN9zN/Ln95NetMvth99mvQhzC+sRqc/mnXUmhDZkb4DlbLL3ibFJfTNy6ffzR/SuXlfvA0X6SMiXFpt/s46tBKkqKiIrVu3MmHCBOs+g8HAgAED2LhxY4XP2bhxI+PHj7fZl5CQwOLFiwE4cuQIqampDBgwwPp4aGgo3bt3Z+PGjRUmQQoLCyksLLR+nZ2dXZdvq0yOlp1MNRqZXJoAAVAVhSmREfTKLyDaZLKOE0JU07ENkH2SdKORVK+y/6bM5X+3sk9o4yTBKETNlP5+pRqNvBwZgVr6t0t+v+ohSx+QM3aoBCkp0ub1Q/1YGcbC0tukgkqQU3mnmPfPPH5N+pXjOWWPKyh0aNiBfkoQ/bZ9Q8sWA6Dr+AueXx0+Rh96N+lN7ya9eeGyu9n9QQ9+DQpidbOOHMw6xKbUTWxK3cTrm1+ndXhrBjQfwIj4EQR4B9TqfMKFWKfCBNsvAQJlTXVdYYWY3d9r2xbX2CRAVFXlx8M/8uOhH9mSuoUStWwFqwZ+DbQmp836071xd3yNvrU+fVxoHKNDRzO63WhO55/m9+O/82vyr2w8uZETaG0MPv99PCE+IVzd9GrubnM37RvWcFqccEsOTYJkZGRgMpmIioqy2R8VFcXevXsrfE5qamqF41NTU62PW/ZVNuZ806ZNY8qUirP7dRKkxZDk7WV9E2lhVhSSvb20JEhQVEXPFkJUpjRxWOXvliQYhai50t+bY/L7Vf9Zp8Mc1ZaArUsfj1N7tNJ9v1D7NFl1FaFNtW32CZvdh7MO8/DPD1ubm/oYfOgR08Naih/pHwkrX4DiEq33ih0YwuNoV6LSLjOTx0e8S7JBsfZD2J6+nX1n9rHvzD5+S/6N2QNmE+HnAv0eRO0VlFb9+AZffFxNWVaIyc2w73Fr4x/LVJgh1l0ms4lXN73KN/u/se5rGdpSaxTcrB/tI9trjYLtrIF/A25pdQu3tLqF/JJ8Nv74EKtPrOW3kHDOFGWz9PBSVh5dyWt9XmNg3EC7n1+4Fo9YHWbChAk21SXZ2dnExsZe5BnV1LwXhMTQLDcdg6piLvfmwqCqxBabtE8Ymveq+7mE8CSlicNmxSWV/G6V2IwTQtRA6e9NdgVvMuX3q54Jaw4oUHRO+1S4Lsuu1semqKD1BAGbSpC/Tv3Fv1f9m6zCLOJC4nii8xP0iul1YfXFmaPa9rzlcWvNYNSOlbEPTh8k9pL+jLx8JCMvH8mZgjOsSV7D21vfZtfpXYxYMYI5A+bQNLipfc4tnM/eTVEtLBUXeleCnD4EaTtBMUIbrX1AoamQ535/jl+SfkFB4cEOD3LzJTfTPKS5U0Pz9/Knf+vb6P/XD5gMUey47UPm7ZrHmuNreOa3Z8jMz+Tutnc7NSbhXPZPs5UTGRmJ0WgkLc3206S0tDSio6MrfE50dPRFx1u2NTmmr68vISEhNje7MBhh4BtEm0xMyjiDobS9ijav+oz2SdrA16VngRA1VZpgjDaZmZSRaf3dArgvK5tok1kSjELUVunv17LgQAAUm79dmfL7VZ94+2n9XaDuzVHLJ0Hqk9DS6TDZJ8Fs4vfjv3P/yvvJKsyifWR7FtywgAHNB1Q8/cTybxphn0oQABpcqm1PH7LZHe4Xzi2tbmHBDQuICYzhWPYx7ltxH/sy99nv3MK57L08roWlEiQv077HrSnLqjAtrobABmQXZfPQzw/xS9IveBu8mXHNDMZeMdbpCRCr5r0BMKbvoUtQc2b2m8mw1sNQUZm2eRrvbnsXB7fOFDpyaBLEx8eHLl26sGrVKus+s9nMqlWr6NmzZ4XP6dmzp814gJ9//tk6vkWLFkRHR9uMyc7OZtOmTZUe06HiB8OdC7jVEMLK5JPMTUljZfJJbjWESnd9IWqrNMEIcGtOHiuTT9IvNw+AIz4+2hhJMApROwYju9rewa8B2qoVH6amlf3tytF+z+T3qx6xTNWwVC3UVn1cGQa0iieDF6gmFu9awOO/Pk6BqYCrmlzFR9d/RLhfJUt6qmpZrxU7TYcBoMEl2raSZXJbhLbg0xs/pVV4KzLyMxiVOIo/U/+03/mF8zisEsSSBNG5EuSfxdr28qGk56UzKnEUW9O2EuQdxAfXfcD1cdfrGh6BDaDR5dr9Y+sxGoy80P0F/t3p3wB8uPNDJm+cTIm55CIHEe7KoUkQgPHjx/Phhx8yf/589uzZwyOPPEJubi6jR48GYMSIETaNU5944gkSExN566232Lt3L5MnT2bLli2MHTsWAEVRGDduHK+88gpLlixh586djBgxgpiYGIYOHerob6di8YNh3C6i7/2BKwf9l+h7f9C66ksCRIjaK00wEtKYaJOJ8ZlnUVSV3wP82dlumPx+CVEH85J/Q1UUeuUV0r2giCsLCrXqxZAYSeDXNxFx2rYuzVFNJZBWuiJKfUuCGIyowTF8HBrMS9vfxqSaGHzJYP6v//9dvPloThoU54FigLBm9ouniiQIQKOARswbOI8uUV3IKc7hoZ8f4qejP9kvBuEcDq8E0TEJknkYUv8GxciRJh24b/l9HDhzgEj/SOYNnMeV0VfqF1t5cVo1CEfWAtp15sMdH2ZSz0kYFAPfHfiOJ1c/SX5JfvWOZzZpx9q5SNuaTQ4KXNSVw3uCDBs2jFOnTjFx4kRSU1Pp1KkTiYmJ1samSUlJGMp1RO7VqxdffPEFL774Is8//zytWrVi8eLFtGvXzjrmmWeeITc3lwcffJCzZ8/Su3dvEhMT8fPzc/S3UzmDUbroC2Fv8YO15d2ObSAuJ412G99ip28On5/axOt1bfInhIdKObmb370zAAM9L30cBnbULuiCorQpMFIBUr9YmpjWZTpMxn4oKQCfYPv1v3ARZtXM9LAgPit9Kzq63Wie7PwkSlV/Xyz/nqFNwcvHfgFVMh3mfCE+IXxw3QfW/gpP/fYUzxc8z11tLlwlUbio+lwJsltriPp3XFf+veYJzhaepXlIc9frYxPXGzZ/AEfX2ey+/bLbifCL4Jnfn2HN8TU8+NODvHfte4T6hlZ+rN1LtCXJs0+W7QuJ0Sqb5YMFl+PwShCAsWPHcuzYMQoLC9m0aRPdu3e3PrZmzRrmzZtnM/6OO+5g3759FBYWsmvXLm688UabxxVFYerUqaSmplJQUMAvv/zCZZdd5oxvRQjhbJYEY/vbSWj3FACr/Io5sWelzoEJ4Z7m/vQS+QYDTYsM3Nf/UevvFy36SAKkPrJOh6lDEiRlh7Zt3MG+S3nqrNhUzHNrn+MzQw4AT0d2Z3yX8VUnQMAxU2GgLAly9pi2LPFF+Bp9mXHNDO687E5UVF7d9CrvbX9P+hi4i/rcE+Sfxaz19+N+5RRnC8/SrkE7FtywwLUSIADNr9K2p/ZAzimbh/o368//rvsfwT7B7Di1g5ErRpKaW/FKpOxeAgtH2CZAALJTtP27lzggeFEX9ecvmRCi3ruvxy3EFPlSYDDw2bo39A5HCLdTmJ/NryZtifprQvtjNMrbgHrPukxuXZIg9a8pam5xLo+uepQVR1bghcK09AxGKJX0/6iII5qiglaR5RMEqrlafVyMBiMv9niRRzs9CsAHf3/AlI1TpI+BOyi0LJHroCRIYRaYiu177OrIPMKScwd4PKoh+WoJV8VcxccJH7vmks6BDSCqdLbBsfUXPNw5qjPzB86nUUAjDmUd4t7l93Lo7HlVWmaTVgFCRcnH0n2Jz8nUGBcj736EEG7DYDBwTdTtACQa08jPuHi5sBDC1oJlL5LuZSDUpPLwoKl6hyOcwVKpkJMKRXm1O0Y9S4Jk5Gfwr5X/4o+UP/D38md2syHclJsHWSeqf5DMw9rW3tODFKVafUFsn6LwSMdHeKnHSxgUA98e+Jbxa8ZTUFJg39iEfVkrQS4yxaI2/EK1XjXg9GoQVVX5ZMMrvNCwASWKwk0tb6q6v47eLH1Bjq6t8OFW4a347IbPaBHagrS8NEasGMGO9B1lA45tuLACxIYK2Se0ccJlSBJECOFWHrt+HKElChleRj5PfFHvcIRwG6rZzMrMXwHoaWhLWGCwzhEJpwiIKLvIOnus5s83myDlb+1+PWiKmpydzIgVI9h9ejcRfhF8kvAJvZqUXgRlJVf/QI6aDgPl+oJULwlicWfrO3m779v4GHxYnbyah35+iCxLtYFwPY7qCWIwgn9pVZMT+4KYVTPTt0zn7dObARjVoDOv9n4Vb6O302KoFUsSZP/KShuaNg5qzIKBC+jQsAPZRdncv3IMa9a+Cj+Og2/vr955ctLsG7eoE0mCCCHcSrCfH1f69gBgRd4O1MJcnSMSwj0s/202+3wVfMwqY659Re9whDPVpTnq6UNQnAte/hDZyq5hOdue03u4d8W9JJ9LpklQExbcsIDLIy+HkCbagKzj1T+Yo6bDQK2TIADXNruWD677gGDvYLalb2NU4qjK+xgIfTmqJwhAQKS2dVISpNhUzIS1E/h096cAPJV5lv/0nY5BcYNLzcJz2jYrGb4dA/NvgpntbPt45KQTdnAVH5kacHWJgUJzEeMOfcn3+xZqVXbVERRl/9hFrbnBK1MIIWz9O2EKvmaV/b5eLPvpNb3DEcItfL9/PgBdihvSJra1ztEIp6pLc1TLVJjo9m7dOHdTyiZGrxxNZkEmrcNb89mNn9E8pLn2YGhps8b8zOpNGco/q42FsgSTPVVzhZjKdI3uyrwb5tHIvxEHzx7kvhX3cfjsYTsGKOzCUZUgUK45aob9j32e3OJcxv46luVHluOFwmvpGYwM7whBjRx+7jrbvQQWP3rh/uwUWHgffHorvNcNZrSCRf/Cf+t8ZiYfZci5XEyKwsSGDfiw9/2owY2ByhoqK1qitXkvR34nooYkCSKEcDuXNmxMR1McAEtOLAHphC/ERf29+xf+9NX6A9ze+SmdoxFOV5fmqJaVYWI62Ssap0s8ksjDvzxMbnEu3aK78cnAT4j0jywb4BeqNSMFbe5+VSzJpMBG4OuAaWU17AlSkcvCL+PTGz8lLiSO1NxURiSe18dA6M9SgeCQSpDSJqQOrgQ5nX+aMSvHsOHkBvy9/Pm/4hBuzs2D+CEOPa9dVKeh6aFVkLFPux/VHno8ivddX/Dy6D+5v702DebdEz8xLb4P2gSa8xMhpV8PfN2tk8j1kSRBhBBu6e5eWj+QP/xU/tryhc7RCOHaPt0wDbOiEF/gy/VdB+kdjnA2e1SCuGlT1M/3fM4zvz9DibmE65tfz/sD3ifY57zEhaKUVYNUZ0qMI6fCAESUJkFyUssulGshJiiGBTcsoENkB7IKs3jgpwf4Lfk3OwUp6qzAGZUgjmuMmnxO66/zz+l/CPcNZ26vafQ+vhNQoO1gh53XbqpsaFqq3wvwzBF4ZB0MnAZtBqEENuCJzk/wXLfnUFD4Mv0Pnul8A0UhjW2fGxIDdy6AeDf49/AwkgQRQrila+N70KYwBFVR+Hzbe3qHI4TLOnXqKGuN2pzl62OH6xyN0EVtK0HMZrdNgqiqyqxts3h98+uoqNzV+i7evPpNfIw+FT+hJkkQRzZFBfAPg8CG2v1aTomxCPcL58PrP6RPkz4UmAp4YvUTfH/g+7rHKOrGVAwl+dp9R1QTWZMgjqkE2Zu5l/uW30fSuSRrf512KXu0B5v3gmA36H9R3UalES3LKmvOc0/be3jz6jfxMnjx05ldPHp5L3J6PKI92LgjjNspCRAXJUkQIYTbGthKK0Vc45NNatJWnaMRwjV9lDiBXIOBpkUw8vpxeocj9GC5WD+bdMGqBxd15ojWt8DoCw3bOCY2BygxlzBpwyQ+2vkRAI9d8RjPd38e48XK0WvSHNVRy+OWV4fmqOcL8A5gVv9ZDL5kMCbVxMQNE/lo50eoMpVUP5YqEHBwJYj9kyCbUzYzKnEUpwtOa9OubviUuNA42L1YG+AOU2Gg+o1Kqxg3sMVA/nvtfwnwCmBT6mZG5+4kw2iAc6kyBcaFSRJECOG2Rl09kqZFRvINBuatmqR3OEK4nKLCXH4t1JY37R3UBy8veUPmkUJiwOAN5uLq9bywsFSBRF0Orr7MZTlvbXmL7w9+j0ExMKXXFB7s8CCKUlnTwlKhsdo2uzpJkKPa1lHTYaBsSkwdK0EsvA3evHLVK/yr3b8AmLVtFosOLLLLsUUtWJYu9g4Eo5f9j++gJMihs4d4dNWj5BbncmX0lcwbOI+GAQ215OHxP3GbqTCgVayExGCPhqY9Y3ryycBPiPCLYG9OEo9ENaIoJw1ynbdEsagZSYIIIdyW0Wigd/hAAH4yH6Ywx/Fd0IVwJ58lTiHV20CIycxDg17WOxyhF4MRwktXQqnJlBg3nAqz8eRGPtvzGQDTr57Ora1urd4TXWk6DJQ1R820TxIEQFEUnuzyJP/u9G8Apv85naTsJLsdX9SAI5fHBYckQSzL4BaaCunRuIdtfx3LcrLNesD5fTFclcEIA98o/aLuDU3jG8Tz2Q2fEe4bzl5fH/4bHgqn9tgtXGFfkgQRQri1R294ibASlVNeRj5b/qLe4QjhOlSVFWmJAPRUWxEZ0kDngISuatMc1c1WhskqzOLF9drfgWGth3F93PXVf3JoNafDFOeXVdM4shLEjtNhzvdghwfpFt2N/JJ8JqybQIm5xO7nEFVw5PK44JDGqO//9T57MvcQ5hvGa71fw9foW/agdSrMULudzyniB2uNS+3U0DQ2JJZJPbXK5LmhIWw7uspekQo7kySIEMKthQcG0s3YAYDlZ9eimuTNnBAAP22Yy15fFW9VZWTfyXqHI/RW0+aoqup2lSCvbnqV9Lx04kLiGN9lfM2ebK0EOXHxZdfPHNO2viFlF5qOUD4JYufeHQbFwCtXvUKwdzB/n/qbj3d+bNfji2pweCWIfZfI3Z6+nY93aa+TST0naVNgLLJOQPIm7X7bm+1yPqeKHwzjdsHIpXDbx9q2Dg1Nr21+LUMD4lAVheeTl5JTlGPngIU9SBJECOH27h/wMj5mlf2+BhLXzNI7HCFcwjf/fAhAl8Jw2l/SSd9ghP5qWgmSlQz5Z7ReIo3iHReXnSw/vJwVR1ZgVIy81vs1ArwDanYAS2PUkvyLf3punQoTpy2t6ygRLQAFCrIc0tyycVBjnu/xPABz/prDPxn/2P0c4iKcVQlSnAdFeXU6VG5xLs+vfR6zambwJYMZ0HyA7YA9P2rb2O5lFVXuxmCEFn2g/e3ato4NTZ+9dBhNiks4YS7gzT/ftFOQwp4kCSKEcHttm15C5+JoAL47+IXO0Qihvz0H1/Onj/bp05D2j+scjXAJlkqQM0erN/7kDm3bqC14+V50qN5Sc1N5ZdMrADzU4SHaN2xf84N4+UJgI+3+xZqjWippHDkVBsDbv6xZqwOmxAAMajGIhLgEStQSJqybQL5lyVbheI6uBPENBsty0Pl1mxIz/c/pHM85TkxgDM91e+7CAe46FcaBghp34tVTp1FUle8Pfs+qJJkW42okCSKEqBdu6/IUAJt8C9n5T6LO0Qihr09+fxmTohBf4MWgnrfrHY5wBeFx2jbzaPWmV7jJVBizaual9S9xrugc7SPbc3+H+2t/sOo0R3XG8rgWluaoDkqCKIrCSz1eoqF/Q45kHWHm1pkOOY+ogKMrQRSlrBokt/ZN41cnrebbA9+ioPBK71fKGqFaZKdA0h/a/VpOH6mXIlvRpaiE0Vnaz3nKhilk5EvzflciSRAhRL0wsMtALi/wQ1UUFmyU0kPhuTLPnmAtyQD0j7616qVBhWewJEEKs7RpLlVxkyTIl3u/5I+UP/Az+vFa79fwNtRhKd/qNEd1xsowFg5sjmoR6hvKy1dpK0d9sfcLNpzc4LBziXIKSpfIdVQlCNR5hZjT+aeZvHEyAKMuH8WV0VdeOGjPj4AKTa8sSyIKrbKswSX8+0wWrQNjOFN4hikbpqDaub+PqD1Jgggh6o0BscMB+N2YRkbGYZ2jEUIfHy5/gRyjgSZFKqNufFbvcISr8PaH4NIVEKpqjqqq5VaGucKhYdXF4bOHeWfrOwD8p+t/iAuNq9sBLdNPLloJ4qTpMOCUJAjAVU2u4q7WdwHw0rqXyCrMcuj5BOUqQUIddw5rc9SaT4dRVZUpG6eQWZBJq/BWjL1ibMUDZSpM5Rq1xQeY1qAX3gZv1hxfw3cHvtM7KlFKkiBCiHpj5HWPE1sEeQYDHyY+r3c4QjhdSXEhq/K2ANDbrxu+3j46RyRcSnWbo55LgdxToBgh6nLHx1ULxaZinlv7HIWmQq6KuYphrYfV/aBVTYcxlcDZJO2+UytBDjn8VOO7jicuJI70/HRe/eNVh5/P4zm6JwjUqRJk8cHFrE5ejbfBm2m9p+FjrOBvyblUOFZaORQ/pA6B1lOlDaVbZaXxROcnAHjjzzdIzk7WMypRSpIgQoh6w9vbiz4BfQD4pXAnxXXsiC6Eu/nip2mkeCuEmMzcf4NcyIjzVHeZXMtUmIattQoSFzTn7znsydxDqG8oU6+aap9pXyFVTIfJPg7mYjD6lo11JGtPkENgNjv0VP5e/kzrMw2jYmTF0RUsP7zcoefzeI7uCQK1ToIkn0vm9c2vA/DYFY/ROqJ1xQMtU2GadIWw2DoEWk81aqtt03dzX/x9XBl9Jfkl+UxYN4ESc4m+sQlJgggh6pcxg14mzGQm3cvAp4lT9Q5HCKdaemIxAD1MzYmObKxvMML1hFdzhRjLyjCNOzkwmNrbkb6Dj3Z+BMDEHhNpFNDIPge2TIfJPlHx45bkUXhzMDjhLXRYM22JYlPhxVessZN2ke14qONDALyy6RVSc1Mdfk6PVXhO27pYJYjJbOKFdS+QV5JHl6gujIgfUfng3T9oW6kCqZhlafH0vRhUeOWqVwjyDuKvU3/xya5P9I1NSBJECFG/NAprQE+z9unZsrQVOkcjhPOs/vMr9via8FJV7u4zUe9whCuyNEetajqMCzdFzSvO4/l1z2NWzdzc8mauj7vefge3TIc5l6JNfTmfM5uiAhiMZdU7Du4LYvFA+wdoH9mec0XneHH9i5hVx1ageKwC16wE+eSfT9ievp1A70Be7f0qRoOx4oE56XBsvXZfkiAVC2+hVY2V5MPZo8QExfB8d22q9n93/Jfdp3frHKBnkySIEKLeubfvZLxVlf0+Zn7aOF/vcIRwii93/B8AXQuC6dKmh87RCJdU0+kwLpgEmb5lOsnnkmkc2JgJ3SfY9+CBDbXKC9WsJULO58zlcS2c2BcEwMvgxWu9X8Pfy59NKZv4Ys8XTjmvx7FOhwm++Li6qGESZM/pPczeMRuACd0m0CToIlO+9izRfk9iOmuVUeJCRi9oeJl2P30PADe1vInrml9HiVrChLUTKCgp0DFAzyZJECFEvdPh0s50KwgD4OtdH+gbjBBOcCh5O396ays6DGr9kM7RCJdlqWA4dxKK8ysek5OuPY4C0e2dFlp1/Jb8G4v2L0JB4dXerxLsY+cLSIPh4svkOnNlGIvyfUGcJC40jqe6PgXAO1vf4dBZ553bYzilMWr1V4cpNBUyYa3Wq2JAswEMvmRwxQPNJjiyFjb9T/s6vpJxQmOdEqNVfSiKwsQeE2no35DDWYeZtW2WjsF5NkmCCCHqpZsufxSALd7Z7Dnyp87RCOFYH66aRImi0LbAwJC+I/UOR7iqgIiy8vszxyoeY6kCiWwFvkHOiasaMgsymbhBm+Y1In4EV0Zf6ZgThVxkhRhLLxVnTYcBpy2Te747LruD3k16U2QuYsLaCRSbip16/nrNVALFudp9hy6RW/1KkFnbZnEo6xAN/BowsefEihsN714CM9vB/JsgY5+274/3tf2iYtbmqHusu8L8wph6ldaz7rM9n7Hx5EY9IvN4kgQRQtRLg3oPp32BEbOi8NGayXqHI4TDnMvJ4Hez9klt3waD7LNKhqifFKXqviApO7StC02FUVWVKRumkFmQyaVhl/JY58ccdzJLX5DzG5Gqqk6VIPokQRRFYWqvqYT5hrEncw/v//W+U89fr1mmwoCDK0EitW3eae31W4k/Uv7g092fAjD1qqmE+4VfOGj3Elg4ArJP2u7PSdf2SyKkYtZKkD02u3s36W1d1vvF9S+SVZjl7Mg8niRBhBD1kqIo9Iu8CYD1HONMTrrOEQnhGB8sf4FzRgMxxWZG3fSS3uE41OzZs4mLi8PPz4/u3buzefPmi47/5ptvaNOmDX5+frRv357ly22X/VRVlYkTJ9K4cWP8/f0ZMGAABw4cqPBYhYWFdOrUCUVR2LFjh72+JeezJkGOVvy4C64Ms/jgYn5N/hUvgxev93kdX6Ov404WWkklSE669um9YtBWbXEWSxLk7DEoKXLeeYGGAQ2Z1HMSAB/v+pjt6dudev56y5IE8fIHo7fjzmOZDmMutk28lJNdlM2L614E4M7L7uTqpldfOMhsgsRngYoSKaX7Ep/TxglblkqQjP0X/P6O7zKeuJA40vPSeXWTLGnvbJIEEULUW/fd9CLNiszkGhTmLHtR73CEsDuz2cTP2RsAuMrrCgL8/HWOyHG+/vprxo8fz6RJk9i2bRsdO3YkISGB9PSKE5wbNmxg+PDhjBkzhu3btzN06FCGDh3Krl27rGPefPNN3n33XebMmcOmTZsIDAwkISGBgoILm9U988wzxMTEOOz7c5qqmqOm/K1tXaQS5Pi547y++XUAHrviMVpHtHbsCSvrCWKpnAlpCl4OTMKcLygKfIK0JpRVLW3sAAOaa/0hzKqZ59c+T65lGoeoPWf0AwHw9gfvQO1+JVNiXtv0Gml5aTQLbsZ/uv6n4uMc23BhBYgNVVtW+tiGusVbH4XGar+/5hLItO2tE+AdwGu9X8OoGFlxZAXLDy+v5CDCERyaBMnMzOSee+4hJCSEsLAwxowZQ05OzkXHP/bYY7Ru3Rp/f3+aNWvG448/TlaWbYmQoigX3L766itHfitCCDfk5+tHH+8rAPglZyMlJTKnWdQvX62awUlvCDaZGZ1Qvz9Jevvtt3nggQcYPXo08fHxzJkzh4CAAObOnVvh+FmzZjFw4ECefvpp2rZty8svv0znzp157733AK0KZObMmbz44osMGTKEDh06sGDBAk6ePMnixYttjrVixQp++uknZsyY4ehv0/Es/Swqmg6TlwlZSdr9xh2cF1MlTGYTL6x7gbySPDo36szIeCf0uwmN1bZZJ2z3W6fCxDk+hvIUpVxzVOdOibF4rttzxATGcDznONP/nK5LDPVKoROWx7Ww9gW5sDlq4pFElh1ehlExMq3PNAK8Ayo+Rk5a9c5V3XGeRFHK9QW5cEnc9g3b81AHrZn5K5teITU31ZnReTSHJkHuuece/vnnH37++WeWLl3K77//zoMPPljp+JMnT3Ly5ElmzJjBrl27mDdvHomJiYwZM+aCsZ988gkpKSnW29ChQx34nQgh3NXIga8SajKT7gXfLBkPOxdpnc2lbFO4s9IO/cuOfA5Az+IYYhvX32UKi4qK2Lp1KwMGDLDuMxgMDBgwgI0bK24qt3HjRpvxAAkJCdbxR44cITU11WZMaGgo3bt3tzlmWloaDzzwAJ9++ikBAZVcJJRTWFhIdna2zc2lXKwSxNIPJKIl+DmwYWM1zftnHtvStxHoHchrfV7DaDA6/qTW6TDJtvstSSNnNkW10KkviEWwTzCv9H4FBYVvD3zL6qTVusRRbzirEgTKrRBjWwmSlpvGy3+8DMADHR6gQ8OLJD2Dov6/vTsPb6rMHjj+vUm6r5RulKVlb9k3gbIICgKKIorsAiojo6Ijo47KjCMu4+DoOKMiP3FFUFYXEFFRBhWUVVmUpSBlLZRSSum+J/f3x23Slu5tkts25/M8eZIm7809SQu5Ofd9z6nZvmo6ztVUUBy1tD/0+APdg7uTWZDJU9ufwqJanBic63JYEiQuLo5Nmzbx7rvvMmDAAIYMGcKiRYtYvXo1iYkVT6nq1q0bn376Kbfccgvt27fn+uuv54UXXuCLL76gqKiozNjAwEDCw8NtF09PT0e9FCFEI9YiPJKReVobxa8vbYJPZ2uVzV/tJoW8RONUXKH/6Krb+M1DxaSq/DnjVJP+e05JScFsNhMWVvYgOywsjKSkis+cJSUlVTneel3VGFVVueuuu7jvvvvo169fjWJduHAhAQEBtkvr1q1rtJ3TWL/Ep50pnwy2doZpAEthjqYe5Y0D2qydJ655gpa+LZ2zY//i/eSlQX6p2cupJ7XroHbOiaM0nZMgANeEX8OsrtpMnGd2PsPl3Oo7jtSIteWqK52g0GUmSMnvy6Ja+Pv2v5NRkEHX5l2Z06PyE9QARA4C/6qWAirav5vIQfWPtymqpDiqlZvBjX8O+SeeRk92X9jNqqOrnBic63JYEmTnzp0EBgaWOWgYOXIkBoOB3bt31/h50tPT8ff3x2Qylbl/7ty5BAcH079/f95//33UKqoeN/izMkIIxzmygQcuH8Okquz39GS1ry9JRiNkXJCK5qLxKVWh/+0A7QB6SE4urbJT5O/ZARYtWkRmZibz58+v8Tbz588nPT3ddklISKh+I2cKaAUGE5gLIPNC2ccaSBIk35zP/B/nU2Qp4vrW1zO+w3jn7dzTv6RtaUapJTF6dIaxsiVBTlQ9zsEe6v0QHZt1JDUvlWd2PIN6clv9khelW642lBMUzkjKOHUmSPkkyOqjq9l5YSceRg/+OfSfuBmqKc5qMMJ1ldVVK+5GNuZFbZwor4rlMFZRAVG2miz/3ftfTqTp+2/dFTgsCZKUlERoaGiZ+0wmE0FBQZWetblaSkoKzz//fLklNM899xxr165l8+bNTJgwgQceeIBFixZV+jwN/qyMEMIxiiuah5otdM3PB+CFkCBGt47gM9/iae1S0Vw0FqUq9C/z92Wzj/Y3vNXbq8n/PQcHB2M0Grl4seya84sXLxIeHl7hNuHh4VWOt15XNea7775j586deHh4YDKZ6NBB+zLar18/Zs2quD6Fh4cH/v7+ZS4NisFY0t3k6iUxts4w+iZBXt/3OvFp8QR5BrFg0ALnt322FUctlcDSdTmMvjVBrNyN7iwcshA3xcgP535g3WdT6p68qKzlqp4nKJyVlLG2Q9VhJsjJ9JP8Z+9/AK07SbuAGs5sulzcNevqhIl/BExaDl3G2SPapsk6EyT1FBTkVDpscufJDI4YbEsCF5qljp0j1ToJ8uSTT1ZYmLT05ejRo/UOLCMjg7Fjx9KlSxeeeeaZMo/9/e9/Z/DgwfTu3ZsnnniCxx9/nJdfrrxQU4M/KyOEcIziiuZJRiO/eZRU87coCs8GB5FkNEhFc9F4lPp7fiWomVZwDVBd4O/Z3d2dvn37smXLFtt9FouFLVu2EBsbW+E2sbGxZcYDbN682Ta+bdu2hIeHlxmTkZHB7t27bWNef/11fv31Vw4cOMCBAwdsLXbXrFnDCy804kK0FRVHzU0r+VnH9rh7Luxh+ZHlADw36DmCPIOcH4StLkjxTJC89JIz6XrMBAkqToJkJUF+pvP3X0rnpGM8dFl7L/7VvBkJpuKz/zVJXljMWoHOS7/Dl3+mQbVcdWZSxjYTxAl1d0olQQothcz/cT755nwGRQxiSvSUmj1HTirseUe7fccHMGsjTHhPu553UBIg1fEJKf49qJByrNJhiqLw3ODnCPAIIC41jjd/fdN5MbogU/VDynr00Ue56667qhzTrl07wsPDy7WtKyoqIjU1tdKzNlaZmZmMGTMGPz8/1q1bh5tb1dO0BgwYwPPPP09+fj4eHuXblnl4eFR4vxCiiSuuVH7WzYR61ZlEi6KQ4GYi3GyWiuaicSj+O41zd3PJv+dHHnmEWbNm0a9fP/r378+rr75KdnY2d999NwAzZ86kZcuWLFy4EICHH36YYcOG8corrzB27FhWr17NL7/8wttvvw1oB5zz5s3jH//4Bx07dqRt27b8/e9/JyIiwlZsvU2bNmVi8PX1BaB9+/a0atXKSa/cAYLawgnKzgRJOqhdB7QpKaboZJkFmfxt+98AuKPTHQxrPUyXOEqSIMVtcq3vk08IePg5Px6vQPAOhpwUrTaJXjN1imejzczIYKuXJ3u9PPlbSHOWXkjGaE1efD4XTv+k1VTJSYXcK5BrvU6j4sTH1Uq1XG071HGvx6rULLsKY0HRkjLRY+2z5MOayHLKTBBrYdRU3v7tbY5cPoK/uz/PDXoOg1LDc+G73oSCLAjrDjFjbQl4UUOKos0GOf2jVhckonelQ0O9Q3l64NM8uvVR3jv0Hte2upZeob2cF6sLqXUSJCQkhJCQkGrHxcbGkpaWxt69e+nbty+gTSu1WCwMGDCg0u0yMjIYPXo0Hh4ebNiwoUYFTw8cOECzZs0k0SGEKKu4UnmbwiIMqoql1Ae3QVVpXVhUZpwQDVrx3+n+Cj7rXOHvefLkyVy6dImnn36apKQkevXqxaZNm2yFTc+ePYvBUHJQP2jQIFauXMlTTz3FX//6Vzp27Mj69evp1q2bbczjjz9OdnY2c+bMIS0tjSFDhrBp06amX2y9opkg1s4wOrbGfWP/GyRlJ9HarzV/6fcX3eKwFUe1JkH0XApj1byDlgS5HK9fEqR4NpoReCHlMhNatmC/pyef+vkyKbO4iGx+Bux5q+rnMXqCOa/6/TkroVv8uipn56RMvhNrgvgEA3AqJ4l3ftNmc/w99u+E+dTwcyIvHXYX/z6H/UUSIHUVGlOcBKm8LojVqKhR3JJwC1+c/IJndz7LJ7d84pzOWC6m1kmQmoqJiWHMmDHce++9LFmyhMLCQh588EGmTJlCRIRWYfj8+fOMGDGC5cuX079/fzIyMhg1ahQ5OTl89NFHZYqYhoSEYDQa+eKLL7h48SIDBw7E09OTzZs3889//pPHHnvMUS9FCNFYFVc0D8+4wIKUVJ4NDrIlQgbl5hJutkhFc9F4RA4ixy+C9f7a37CiqqiKgkFVWZCS6hJ/zw8++CAPPvhghY/98MMP5e6bOHEiEydOrPT5FEXhueee47nnnqvR/qOioqosxN5oVNQm11oUNaKX08MBOJd5jrW/rwXgqYFP4e1WfTtihwkorh2XcdVMED2Wwlg17wAJu/QtjloqKdGyyMxDV9J4sXkQbwYGcEtWNl7Wfxudb4I2sdosBK9m4FV8bf357C6t3kZ1nJXQrWmyxV5JGetyGGfMKipeDrPIkoJZtXBtq2sZEzWm5tvvflurYRISA9G3OChIF1BNm9yrPdH/Cbae20p8WjwbT27k1g63OjA41+SwJAjAihUrePDBBxkxYgQGg4EJEybw+uuv2x4vLCzk2LFj5ORoRWL27dtn6xxjLT5mderUKaKionBzc2Px4sX8+c9/RlVVOnTowH/+8x/uvfdeR74UIURjZDDCmH/B2pncnpXDoNw8vvD14fWgQPZ7epJuUAiQiuaisTAYeS8kmitqPK0KC3n3QjKJbiZaFxZpCRCQCv2iZmwzQU6X3GfrDNPL2dEA8H8H/o8iSxEDWwxkUITOibxyy2F0bI9r1RCKo16VlJiYkcWH/v6cdzOxwt+PP6QXf7kf+EDVMyasLVczLlDxEhRFe9xZCd2aJlvslZRxcovcQ+7ubHazoKDwcJ+Ha75tfibsWqzdvvYxMNS6lKSwqqZN7tUCPAKY3X02/937XxYfWMyNbW/E3ejuwABdj0P/moOCgli5ciWZmZmkp6fz/vvv29bTQskZleHDhwMwfPhwVFWt8BIVFQXAmDFj2L9/P5mZmWRlZXHgwAH++Mc/lpkCK4QQNl3GaZXL/VsQbjYzOz2DjgUFZBsMvNWynxT0Eo1GQWEe6wq1Cv0zMvNpaTZzTV6+VgdEKvSL2mgWqV3npWm1GvIzIaW4+4MOSy2OpR5j48mNAMzrM8/p+y/H1h3mPKhqSbJIz+UwzYoTMAl7HNe6tTrW5EVxW1R3YG5aGgDvB/iTbjDWbDaa9QQF2J6rHGcmdK96XeUp9p1l5+QWua8GBQJwc7uxdGrWqebb/vyu9v9D8w7Q9TbHxOcqQqK164zzxbVxqjc1eiqhXqFcyL7AmmNrHBebi5LMgRCi6esyDuYdglkbMUx4jxHGXgBsUBLJyrqkb2xC1NC7m57hkkkhuMjM8KlbpUK/qDt3n5Kz2qmnIOkQoIJfBPiGOj2cRfsXoaIyKnIUXYO7On3/5fgVfyE250N2iv7LYY5sgK+La6RcOeW41q3VsSUvSmZv3JSVQ8eCAjKNBt4L8Kt58qLUCYoyFCNMWubc/8/KJGWuVpwYsWdSxokzQXam/c5uL09MqsrcztNrvmFBNux4Q7s99FGZYVhfXoEltYYu1ayLqpfJi/t73Q/AO7+9Q1ZBloOCc02SBBFCuAaDUZue2/0Opk56lxaFKulGA29vlHpCouEzm4v4/KLWnnWopSMR4W1sf8+0HSoHqKL2ShdHtS2Fcf4skH0X97H13FaMipGHej/k9P1XyORekiS6HK+dvQV9lsNYW7dml+246JDWrTXRZZxW76OYEXg4NQ2Alc2CSIrsX7vnKj5Bwfg3tYKpqrmkJoszdRkHfWaVv98Rs+yc1CLXolp49cAiACZnZNFSqcVyir0faIV4m0VB98rrKolasNUFqb44qtX4DuOJ8o/iSv4Vlh1Z5qDAXJMkQYQQLifI149Yt4EAfJn9CwU1nJoohF5WfvcyiW4q/mYLM0dVdsZSiFooXRzV1hnGuUkQVVV5dd+rANzW8TaiAqKcuv8qWeuCnNkOqODuZysy6TTVtm5Fa93qzKUxOalwfp92e+x/YcJ7XDvxY/qE9iZfLWLJr0tq93zWExS9pkHn0dp9RzfaN+aasnYB6nUnthkgszfbNwFiMUOBc1rkbj6zmSOXj+Ctwr1p6ZBzuWYbFubB9uIajkMeAaOb44J0JbUsjgpgMphsyeFlh5dxObeGv0NRLUmCCCFc0h9veYmgIpVkk4EPvnxc73CEqJSqqnx8RlsPPLSwJR0io3WOSDQJFc0EcXJnmK3ntrI/eT8eRg/u63GfU/ddLWsS5PSP2nVQlPPbg9amdauzHPxYWyYU1h363Q3d70Bpdy3z+v4ZgPXx6zmVfqqaJ6mEtftInA5JkJxUOP2TdvvaR0tm/aT8bt/95GeW3HZgTZBCSyGL9muzQGZZfGhusdQ8CbL/Q8hK0mbk9JzqsBhdTi2Lo1rdEHkDXZt3Jbcol7d/e9sBgbkmSYIIIVxSRFAQA5Q+AKxL2445X9ZaioZp/fa3OOVmxstiYeq1/9A7HNFUWGeCJMeVrFF34kwQs8XMa/teA2B6zHTCfJzUDrWmrEmQs1rXQl2Kojq7dWt1VBX2Lddu95lZJinUO7Q3w1sNx6yabV++a63TKDC4QcoxuGTn5EN1jn6pLcUJ764lQKxn7WtYv6HGrPVAjB5g8rDvc5eyPn49ZzLO0MyjGbM8iv+Wa5IEKcqHn/6r3R78sLY0TNhHHWaCgNbKfV7feQCs/X0t5zLP2Tkw1yRJECGEy/rDjS/iZ1Y552Zg7dd/1TscISq08ui7AAzOa07PmFqstxeiKs2itOvze0G1gE8I+LWochN7+vLUl8SnxePn7sc93e5x2n5rzJoEKcrVrvWoB+Ls1q3VSdwPFw9pX+B7lK8T8VCfh1BQ2HxmM4dSDtX++T0DoO212u2jX9Qz2Fo68rl2HXOrdm3t5lHLL6zVckJnmNyiXN488CYAc3rMwcenuNhxTZIgB1Zqs4t8w6H3DIfF6JKCOwOKVmullkX5B7YYyMAWAymyFLH4wGLHxOdiJAkihHBZnVpE0MeidSL4+NL/UAtydY5IiLL+t38tR93ycVNV7rjmb3qHI5qSq2c2tOjltOUeBeYCFu/XDuRnd5tNgIdjC0TWiTUJYqVHZxhnt26tjnUWSJdx4NWs3MOdmnXilvbakhZrrZdai9FhSUxuGpz8Qbttrf9hmwlyzL77ckJnmJVxK7mUe4kInwgmdZ4E3kHaA9UlQcyF8NN/tNtD5oGbp8NidEnu3qVm4NW8OKqVtX34lye/5Fiqnf8uXZAkQYQQLu2eGxbiaVE57m7ky28X6B2OEGV8sFebljwox5fB/UbrHI1oUnyCwc2n5GevZk4rsLn22FoSsxMJ9QplWsw0p+yz1qztLK30WA5TpnVrRYkQ1b6tW6tSkA2HPtVu95lZ6bAHej2Am8GN3Rd2syOxDrVKoscCCiTug/TzdYu1tn7/BiyF2uyPkM7afdbrS3HaMiB7cfBMkPT8dN479B4Ac3vPxd3oDt7B2oM5qVVv/NtaSDurzQqrqFOOqL861gUB6BrclVGRo1BReX3/63YOzPVIEkQI4dL6RLajR2FHAFYlbtTWwwrRAOw5uplf3bIwqCq3dP2z3uGIpibuCzAXlPx8cC282s3hLVezC7Ntxf3u63UfXiYvh+6vzvwiyv4cGKlPHF3GaS1a/StYqtSqv307l1TlyOfaLIZmURA5pNJhLX1bMrnzZABe2/caFtVSu/34hkLrAdrto1/WMdhasi2FKfVeNu8IigHy0iEzyX77cvBMkPcPvU9mQSYdAjswtu1Y7U5rV6OqZoJYzPDjK9rtQQ9psxaE/dWhTW5pD/V+CKNiZNu5bey9uNeOgbkeSYIIIVzenUOfx01V+c3DyA/fvaB3OEIA8PZ2rQjqgFx3Rl07SedoRJNyZAOsnamd/S4t44J2vwMTIcsOL+NK/hUi/SMZ32G8w/ZTL0c2wLvXlb3vgxsdniCqVJdxMO8QzNoIE96DcW9o95//BVJPOieGfR9q171ngKHqrw9/6P4HvE3eHLl8hG/PfFv7fcXcrF07oy5Ifhac2KLdLp1QcvMsqQNzyY51QfIdNxPkYvZFVsStAODhPg9jtM4QsiVBUirf+NBnkHoCvIKg32y7xyaK1bE4qlVUQBS3dbwNgFf3vopqz1lKLkaSIEIIl3ddTDdi8rWzfCtOfQJFBdVsIYRjHTmzhz1G7azd6Kg/oDi7Nadouixm2PQEUNHBc/F9m550yNKYy7mXWXZ4GaCd0XQzuNl9H/VmTRBd3ZrWCQmiKhmM0HYodL8D+syADiO1grY7nVAkMeU4nN2hzYzoVf3ypeZezbmr610AvLH/DQqvTrZVJ7o4CXJ6e/VLOOrr+LdQlKctdwrrVvYxa3FUe9YFsS6HcUAdnCW/LSHfnE/v0N4MazWs5IHqZoJYLLDtZe127APg4Wv32ESx0sth6pjAuL/n/XgYPThw6QBbz221Y3CuRZIgQggB3DHgGQyqyi5PI3utBwNC6GTx939HVRT65hi4bdR9eocjmpIzO8p/wS9D1bpDnKlDPYdqvHPwHXKKcujSvAs3RN5g9+evNx0TRLU2+GHtev8KyK5B14/6sBZE7TiquFBr9WZ2nUmQZxBnMs6w7vi62u0vqDghoZrh9021DLaWrEthutxavjCwIzrE2JbD+NnvOYFT6ads7/O8PvPKJs5tSZBKEkpxn2ttiT0DoP8cu8YlrhLUXmsDXZAJ6XVrdRvqHcr0mOmAtuTM3BD+P2qEJAkihBDA+J796JinHdwt+32lViVdCB2cST7GDrSCgCPCJmEwyke1sKOsi/YdV0Pns86z5tgaQPuSZlAa4N+1jgmiWosaqnX0KcqFn99x3H7MhfDrKu12FQVRr+bj5sOcHtoX6iW/LiG3qJbd16yzQRzZJaYwF45v1m5XVFvF1iHmqP326aDCqG/sfwOzamZYq2H0CetT9kFrd5j8jPIzXS0W2PZv7faA+7VEiHAckzsEa3Xo6pNcu6fbPfi5+xGfFs+Xp5xUO6eJaYCfQEII4XyKonBzz/kA/OCpcGzHIp0jEq7q9W+epEhR6J6rMvmWJ/QORzQ1vmH2HVdDi/cvpshSxIAWA4iNiLXrc9uNTgmiOlEUGPwn7fbut6AgxzH7+X0TZF8Cn1BtJkgtTOw0kZa+LbmUe8lWq6LGrHVBTmzROtM4QvwWKMyGgNYQ0af847aZIEft1yHGAYVRD6cc5tsz36Kg8Kc+fyo/wDNQW8oEkHvVbJDfv4aLh8DdDwbKrEOnqGdxVIAAjwBmd9Nqtyzev5gCsyzjri1JggghRLGZA4YTlRuMqih8cOg9mQ0inC457Rzbio4DMDzwRtzdTDpHJJqcyEHFSxoqqzOjaO1hIwfZbZe/X/mdjSe1M/p/7tOAOx3plCCqs5hbta41ualwoJZJhpqyLoXpNQ2Mtavh4m50Z26vuYDWtSQ9P73mG4d1015bUR7E/69W+62xuOL6LjHjyi+FAe2MvWKAfDt2iHHATJBX970KwM3tbqZTs07lBxgMWsFTKFsXRFVh60va7f73am2yhePVsziq1bSYaYR6hZKYncjaY2vtEJhrkSSIEEIUMxgURnZ+BIBNXgoJe97WOSLhal7/+gnyDAqd8s3cOe45vcMRTZHBCGP+VfzD1V/8in8e86I2zk4W7VuEisqoyFF0De5qt+e1Ox0SRPViNEHsg9rtnYvtX6sk/XxJAqIWS2FKu6ntTXRs1pHMgkzeP/R+zTdUFIi5RbvtiCUxRflw7GvtdmVthk0e9u8QY+eZIDsTd7Lrwi5MBhNze8+tfGBFxVGPb4YLB8DNG2Kr2FbYl604at1nggB4mby4v9f9ALz929tkFzpoxlQTJUkQIYQo5f6hY4nIC6RIUfhg/5tgLtI7JOEiMnKvsCX3VwCu9bwWb28vnSMSTVaXcTBpOfi3KHu/f4R2f2VfCutg38V9/HDuB4yKkYd6P2S353UIHRJE9dZ7unYG/8opiLNzS9kDK7UONJGDoXn7Oj2F0WDk4d5aEdcVcSu4mF2LpUTWJMjv39i/a9vJrVpCwjccWvWvfFzpJTH2YMeZIKqq8tq+1wCY3HkyLX1bVj746iSIqsK24lkg18wGn+B6xyNqyFZr5li9E5fjO4wnyj+KK/lXbJ23RM1IEkQIIUpxNxkYEqmdEdngpXJp7wf6BiRcxhtfPkmWUaFNgZmZty7UOxzR1HUZB/MOwayNMOE97XreQbsmQFRVtU3Vv63jbUQFRNntuR3GiQkiu3D3Kenosf01+9WusFhgf/FSmDrOArG6ttW19AntQ745nyW/Lan5hq36a7VI8tPh9I/1iqGcuOKuMDG3aMtFKmP7wmrvmSD1L0C6+cxmDl8+jLfJm3u731v1YO+rlsOc/AHO/QwmT4ht4MnJpiYwCkxeYM6H1FP1eiqTwWRLLi87vIzLuQ7uFNWESBJECCGu8uh1dxCS70uewcDyX15rGO0QRZOWW5DN1xlax4lrDb1pFiBrs4UTGIzQdih0v0O7tvMMh23ntrE/eT8eRg/u69GIii46IUFkV/3naF9mE/fBme32ec7T2yDtrLZsI6Z+r1tRFOb1nQfAuuPrOJVewy9+BgNE36TdPmrHJTHmQjha3FGjut+pdSbIpWP22bedZoIUWYpYtF8r4D6r6yyaezWvegPrTA9rm9xtL2vXfe8CvwZS48ZVGAwQap1hVL8lMQA3RN5A1+ZdySnK4Z2DDuwU1cRIEkQIIa7i7WGiX5hWdftTTwuZjio4J0Sxt795hjQjhBeamXnzS3qHI0S9mS1m2yyQ6THTCfNpZF+0HJwgsiufYK1wKcD21+3znNaCqN0ngrt3vZ+ud2hvhrcajlk188b+N2q+YXTxkpijX2mzU+zh9E+Qe0VbItKmmvoutiKWdugQY7HYrSbI+vj1nM44TTOPZszqOqv6DUovhzm9XUuWGd1h8MP1ikPUka0uSP1nGJVOMq45tobzWefr/ZyuQJIgQghRgfkjZxBY4EWm0cBHu/4ts0GEwxSaC9iQ/A0AQy2daRFWxbpuIRqJr059RXxaPH7uftzT7R69w2n6Yh8EFDj+Tf2/WOWkltQXqedSmNIe6vMQCgrfnvmWwymHa7ZR22u1hEFWEpz/xT6BWLvCRI/VistWpXkHUIzFHWIu1G+/BVlAcSKlHjNBcotyefPAmwDM6TEHHzef6jeydn5J3A/fzNdu976zuBCwcDo7tMktbWCLgQxsMZAiSxGL9y+2y3M2dZIEEUKICjTz8aB7szsBWO1ZRO5BaT8mHOPD714i2aQSVGRm+qh/Vb+BEA1cgbmAxQe0A/HZ3WYTYIf6B6IazduXFBLdsah+z/XbWjAXQHh3iOhV79CsOjXrxC3ttRits4SqZXKHjqO02/Yo/GoxlzxPl1trsP9SHWLqm1yyzgIxuGnLl+po1dFVJOcmE+ETwaTOk6rf4MgG2PaKdjthN1zQCnAT3r3OMYh6slOb3NLm9ZkHwMaTG/n9yu92e96mSpIgQghRiadG3oNvoQepRiNrt79kv6m4QhSzqBbWnv0EgGsLWtM+qpPOEQlRfx///jHns84T6hXKtJhpeofjOqxLG35bCxmJdXsOVS1ZCtOnBsssaumBXg/gZnBj14Vd7EzcWbONYm7Wro9urP+SlLO7IPsSeAZA1LU12ybUTnVBStcDUSprw1y19Px03j34LgBze8/F3ehe9QZHNsDamZB3pfxjGx/RHhfOZ10Oczlea9dsB12DuzIqchQqKq/vs9OyuCZMkiBCCFGJiEBfOvpMAGCFRx6Fhz/TOSLR1Hy8/U3Om8z4mi1MGvYPvcMRot6yC7N5+7e3Abiv1314maTVs9O06qe1s7UUwu5adGEpLXEfJB/WZip0v8O+8QEtfVsyufNkQJsNotYkqdHhBjB6QOrJ+i8fsC6F6XyTNsukJkLs1CHGDvVAlh5aSmZBJh0COzC27diqB1vMsOkJbEtwKrLpSVnuqwe/FloiTjVDynG7Pe1DvR/CqBjZem4r+y7us9vzNkWSBBFCiCo8NWIOXkUmLphMbPjxnzIbRNiNqqqsPPY+ANfmBdO9yzU6RyRE/S0/vJzUvFQi/SMZ32G83uG4nkF/0q5/WVoy86A2rLNAYsaV1JGwsz90/wPeJm+OXD7Ct2e+rX4DD19of712O64eXWIslpKZDzVZCmMV0lm7Tj5a930D5Gdq13WsB5Kck8yKOK1Q+8N9HsZYXbHeMzuqmRGkQsZ5bZxwLkWxa3FUq6iAKG7reBtQiySji5IkiBBCVKFTaHPauGlTcZe55WCJ+1zniERTsWn/Kk6aCvC0WBjf/ym9wxGi3lLzUvng8AeAdkbSzeCmb0CuqOMoCO6szTrY+0Htti3IhoOfarftWBD1as29mnNX17sAWLR/EYWWwuo3si2JqUddkPN7ITMR3H2h3XU1385av+FSPTvE5KVr13WcCbLk1yXkmfPoHdqbYa2GVb9B1sWaPXFNxwn7snNxVKv7e96Ph9GD/cn72XZum12fuymRJIgQQlRj/nUP4G42csrdjW+2vgAnt8HBT+DUjzKNVNTZ0v3amt0hOX7E9rtB52iEqL93fnuHnKIcujTvwg2R8jetC4MBBj2k3d71JhQV1Hzbw+uhIBOatYWoIQ4Jz2pm15kEeQZxJuMM6+PXV79BpxtBMUDSQbhyum47tZ7E6DQa3GpRmNTWISajfh1i6rEc5nT6aT47ri3JnddnHkpNaor41rAtdU3HCftywEwQgFDvUKbHTAe02SBmOU6tkCRBhBCiGn1bt6CFMgKAZaYM1OW3wKezYdnN8Go3KSwmam173NfEmbIxqSo3dv2z3uEIUW/ns86z5tgaQPuSZlDkEFM3PSaBb7g26+HQJzXfzlYQdUadC3fWlI+bD3N6zAFgyYEl5BblVrNBc63eCcDRL2u/Q1WFI8VJkNoshQGtQ0zz9trt+nxhLV0YtZbeOPAGZtXMsFbD6BPWp2YbRQ4qboFb2e9SAf+W2jjhfA6aCQJwT7d78HP3Iz4tnq9OfWX3528KHPoJlZqayvTp0/H39ycwMJDZs2eTlZVV5TbDhw9HUZQyl/vuu6/MmLNnzzJ27Fi8vb0JDQ3lL3/5C0VFRY58KUIIF/dcZAyeFguHPTzY6VnqDFLGBa3yuiRCRE1YzHDqR5b+9DQAg7PduWFYDVocCtHA/d+B/6PQUsiAFgOIjYjVOxzXZvKAgcXHzjsW1WwJx6VjkLBLm/HQ0zkdfSZ2mkhL35Yk5yazMm5l9RtEFy+JqUtdkAu/QtpZMHlBh5G1395aF+RSPeqC1HEmyOHLh/nm9DcoKPypz59qvqHBCGOsbdevToQU/zzmRW2ccD5rwd20M5Bf9ffj2grwCGB2t9kAvLH/DQrMtZgR5iIcmgSZPn06hw8fZvPmzWzcuJFt27YxZ86care79957uXDhgu3y0ksv2R4zm82MHTuWgoICduzYwbJly/jggw94+umnHflShBCuzGKmz4FXuCNT+5D6v0B/9nh6kGQ0Yqu6LhXWRXWObIBXu7FzzQR2u+eBqvKn7CsocfVY4y5EA3D8ynG+OKH9Hc/rM0/fYISm791a7YvkIxD/v+rH7/9Qu+44CvxbODa2Yu5Gd+b2mgvAe4feIz0/veoNoou7oZzdCVmXarcza1eYjiPB3aeWkVLyhVWHmSCv7X0NgJvb3UynZrVso95lHExaXv536h+h3d9lXO2eT9iPT/OSpUj1bb9cgWkx0wj1CiUxO5GPf//Y7s/f2DksCRIXF8emTZt49913GTBgAEOGDGHRokWsXr2axMSqe5d7e3sTHh5uu/j7l/xn8e2333LkyBE++ugjevXqxY033sjzzz/P4sWLKSiQLJcQwgGKK6zPSs/EoKr86uXJ7BZhjG4dwWe+PkiFdVGtIxtg7Uw+s6QzJzzUdvdBQ4HMJBKN3nuH3kNF5YbIG+gW3E3vcASAVyD0vUu7vf21qscWFcCBVdptBxZErchNbW+iQ2AHMgsyWXtsbdWDA1tDi16ACsdqMcW/zFKY8XULNDRau67Pl9U6zAQ5eOkgOy/sxKSYeKDXA3Xbb5dxMO8QzNoIE97TrucdlARIQ+DAJTFeJi/u66XNCHv/0PsUmmtQgNiFOCwJsnPnTgIDA+nXr5/tvpEjR2IwGNi9e3eV265YsYLg4GC6devG/PnzycnJKfO83bt3JyyspIjP6NGjycjI4PDhw/Z/IUIIUapyeukGuRZF4dngoOIZIUiFdVExixk2PUGS0cAzwUEla+0VheeCm2l/PzKTSDRSiVmJbDq1CYB7u9+rczSijIH3g8EEp3+E8/sqH/f7JshJ0eqIdBzlvPgAo8HI7O7atP0VcSvIN+dXvYGtS0wtlsQkx8HleDC61/31hdihQ0wdZoIsPbwUgJva3UQrv1Z12y9oS17aDoXud2jXsgSmYXBQcVSrW9vfSohXCMk5yVIb5CoOS4IkJSURGhpa5j6TyURQUBBJSUmVbjdt2jQ++ugjvv/+e+bPn8+HH37InXfeWeZ5SydAANvPlT1vfn4+GRkZZS5CCFFjxdMVz7qZyhWLsygKCW6mMuOEKKN4JtFZNxNqhX8/RplJJBqtD498iFk1M6DFAGKax+gdjigtoBV0u0O7veP1ysdZC6L2mgpGk+PjusroqNGE+4RzOe+ybVlVpWKKZy+c/KEkqVAd61KY9tfXqSgpoBVGtXaIyah6RnulajkTJCEjgS1ntwDYWgqLJsaBM0FAW3Jm7RTzweEPUOvT4rmJqXUS5MknnyxXuPTqy9GjdS8aNGfOHEaPHk337t2ZPn06y5cvZ926dZw4caLOz7lw4UICAgJsl9atW9f5uYQQLqi4wnqbQjOGqz5ADKpK60KzVFgXlSueIZRXwUPa309RmXFCNBbp+el8evxTAO7uerfO0YgKDS4upHnkc0g9Vf7x9HMlNUN6z3BeXKW4GdyYEaPte9nhZVhUS+WDQzpD845gLoDj39ZsB9alMDH1WP5RukPMpTqeta/lTJBlR7T3YkjLIXRs1rFu+xQNmz1qzVRjYueJeJu8iU+L56fzPzlsP41NrZMgjz76KHFxcVVe2rVrR3h4OMnJyWW2LSoqIjU1lfDw8Brvb8CAAQDEx8cDEB4ezsWLZQ8UrT9X9rzz588nPT3ddklISKjx/oUQwlphPdxsZkHKlTKJkDsysgg3m6XCuqicbxgq8EFgAABK8d+PQVVZkJKq/f0UjxOiMVl7bC25Rbl0ataJQRGSBG6Qwrpq3VBUC+xcXP7xAysBFaKGlnzJ18GEThPwc/fjdMZpvk/4vurBtVkSkxKvnWU3mKDzjfULMqSedUGshV89AqodmpqXyvr49YDW7lQ0UdauQ1lJkJPqkF34u/szsdNEoGR5lahDEiQkJITo6OgqL+7u7sTGxpKWlsbevXtt23733XdYLBZbYqMmDhw4AECLFlpV49jYWA4ePFgmwbJ582b8/f3p0qVLhc/h4eGBv79/mYsQQtRKcYX12w3+fJOQyC3FnWJ2entS2GOyFBgTlYscxPeBYfzs5Ym7ReWjxCTev3CRbxISuT0rG1BkJpFodPLN+ayIWwFoU/UV5eoWnKLBGFQ8G2T/R5B9ueR+iwX2FXeF0WkWiJWPmw+TO08G4INDH1Q9OPoW7fr4ZiisaI5dKXHFs0DaXgveQfULMrSeZ+1rMRNk9dHV5Jvz6dq8K/3C+lU7XjRSnv4Q0Ea77cDZIHd2uROTYuLnpJ85nCI1NMGBNUFiYmIYM2YM9957L3v27GH79u08+OCDTJkyhYiICADOnz9PdHQ0e/bsAeDEiRM8//zz7N27l9OnT7NhwwZmzpzJtddeS48ePQAYNWoUXbp0YcaMGfz666988803PPXUU8ydOxcPDw9HvRwhhLBVWA+/83Nmdf0rXkUmEtzcWHXuO8irprWfcFlFqPzbzxOAGRkZ9Cgo5Jq8/OIZIMVfHGUmkWhkNp7YyOW8y4T7hDOm7Ri9wxFVaXut1lWlKBd+frfk/lM/QPpZbWZCA0jkT4uehpvBjQOXDnAg+UDlAyN6g18EFGTBqa1VP6k9lsJYWc/aX6rDsn9VhfxM7XY1NUFyi3JZdVTr1nNXN0kwNnkOrgsCEO4Tzo1ttZlQMhtE47AkCGhdXqKjoxkxYgQ33XQTQ4YM4e2337Y9XlhYyLFjx2zdX9zd3fnf//7HqFGjiI6O5tFHH2XChAl88UVJkSSj0cjGjRsxGo3ExsZy5513MnPmTJ577jlHvhQhhNAUV1jvfN29RHpoxabe9nUj/adXdA5MNFTvfvcCCSaVZmYzM/Lcyj7oHwGTljeILyBC1JRFtfDB4Q8AuDPmTtwMblVvIPSlKCW1Qfa8BQXFXRets0B6TAQ3L31iKyXEO4Rb2muzPJYequKLmsEA0WO123FVFFK9chou/AqKAaJvtkOA1g4xx2rfIaYgG9TipY/VzAT5PP5z0vLTaOnbkpFtRtYhUNGo1HeGUQ3N6joLgM1nNpOQKaUhHFoCOigoiJUrV1b6eFRUVJkqta1bt2br1moyukBkZCRffSVtfoQQ+np5zBwmf7aOdI8M3olbwWMDHwTf0Oo3FC4jKy+Dj85+AkYYmduG5n/5UusCk3VRqwESOUhmgIhG54eEHzidcRo/Nz/u6HSH3uGImoi5FQLbQNpZ+O45CO5c0jWlz0x9YytlVtdZfHb8M75P+J5T6adoG9C24oExN8PP78Cxr7X24hX9P2pNkEQOBt+Q+gfXvINWW8TaISagZc23tc4CUYzg5l3pMLPFzLLDywDtvTAZnN+tRziZg9vkWnUO6szgloPZfn47yw8v528D/+bQ/TV0Dp0JIoQQTVlUsD/9gu8HYKWfFwnfP6tzRKKh+feXfybdCG0Kipg+9g3bTCK636FdSwJENELWWSCTOk/Cx81H32BEzRhN0Ha4dnvXm7BxHliKwOAGV87oGFhZ7QLaMbz1cFRUWzKgQpGDwTMQclLg7K6Kx9hzKQyAyR2C6tghJr9UPZAqlrf87+z/OJd1jkCPQMZ3GF+3OEXjUno5jINb2Fq7eK2PX8+VvCsO3VdDJ0kQIYSohxdGT8I/twWFisKis5u06bdCABfSzrAxYzcAI+lH+6gOOkckRP0dSD7A/uT9uBncmB4zXe9wRE0d2QD7Pyx/v6UQ1s7UHm8grF/UvjjxBSm5KRUPMrqVdHupqEtM+nk497N2O+YW+wVnrQuSXMu6INaiqB5+lQ5RVdVWFHZK9BS8TPovURJOENxJW7KVlwaZSQ7dVf/w/sQExZBnzmP1sdUO3VdDJ0kQIYSoh0Afd27u8DiKCl/7evPrt/P1Dkk0EP/Y+CD5BoXuuUXMmPCa3uEIYRfWWSA3t7uZEG87LDEQjmcxw6YngCrOMm96UhvXAPQO7U2PkB4UWApYGVf5snpbciPui/Jn0K2JkdYDwL+F/YKznrWv9UyQ6tvj/nLxFw5dPoSH0YOp0VPrGKBodNw8S2YYObA4KoCiKNzdTUsyropbRV5RNd2VmjBJggghRD09Mvw6mudGA/DfK7+gJh3SOSKht1/P7uLHolMAjPQbT3BQPVszCtEAnE4/zXdnvwO0triikTizQ6thUSkVMs5r4xoARVG4p+s9AKw5toacwpyKB7a/XquvkZ6gFUAtzd5LYaxCtM96Lh2r3XY1aI9rLQY7vsN4gjzlM8OlOKk4KsANkTfQ0rclV/Kv8Hn85w7fX0MlSRAhhKgnD5ORu/v9DZMF9np58u03f9E7JKEjVVV5cctfUBWFIVkw7Q6pFSOahmVHlqGiMrzVcNoFttM7HFFTWRftO84JhrceTqR/JBkFGXx2/LOKB7l5QYcR2u3SS2KykksSOvbuvBVaxw4x1poglbTHjb8Sz4/nf0RBYWaXhlOoVjiJk4qjApgMJmZ0mQFo/6ebG8gMMGeTJIgQQtjBjH49aZE/CIA3Ck5RePonnSMSevn2tzUcMqThpqqMipyLp4e73iEJUW8puSlsiNfqRtzV7S59gxG14xtm33FOYDQYbcmA5UeWU2gprHhgtHVJTKkkyNGNgAoRvbWOOPYU1L5Uh5jzNd+umpkg1mVmIyNH0sbfzjGLhq90cVQnuK3DbQR4BJCQmcB3Cd85ZZ8NjSRBhBDCDhRF4fHr/4Z3kYHT7m6s/t8TDq/yLRqeIksRr+59GYARmV6Mu+mPOkckhH2sjFtJgaWAHsE96BPaR+9wRG1EDgL/CKCyriQK+LfUxjUg49qPI8gziAvZF/j29LcVD+o0SktKXIqDyye0+xy1FAbKdoipTXHUKmaCXMy+yJenvgRkmZnLss4EuXQULBaH787bzZvJnScD2jIs1QWPVyUJIoQQdjK8UxuiFO2g6x3DFTLjGk61feEcy7e9zDljAQFmM7f0+wdGQ+WtEIVoLHIKc1hzbA0Ad3e7G6WKFp+iATIYYcy/in+4+ndX/POYFxtcy25PkyfToqcB2kyJCr+oeTWDqKHa7bgvICcVTv2o/dzlVscEFmqtC1KLJEgVM0FWxK2gyFJE37C+9AjpYYcARaMT1A6M7lCYA2nOaVk9LXoa7gZ3DqYcZO/FvU7ZZ0MiSRAhhLCjZ296lMACD64Yjbz14zNOyeiLhiGnIJsPTq4CYGROBNfGjtY5oqZn8eLFREVF4enpyYABA9izZ0+V4z/++GOio6Px9PSke/fufPXVV2UeV1WVp59+mhYtWuDl5cXIkSM5fvy47fHTp08ze/Zs2rZti5eXF+3bt2fBggUUFBQ45PU1VOvi15FRkEEbvzZc1/o6vcMRddFlHExaXr5Tin+Edr+9a2fYyeTOk/EyeXE09Si7LuyqeFDMzdr1gZWw5TlQzRDaFZq3d0xQIXXoEFPJTJCsgiw+/v1joKQ1sHBBRhMEW9svO74uCEBzr+bc2kFLFFqXY7kSSYIIIYQdRYcH0s1Xq2q/2r2AxL3v6RyRcJb/fv0XrhhVWhUWMWnUq3qH0+SsWbOGRx55hAULFrBv3z569uzJ6NGjSU5OrnD8jh07mDp1KrNnz2b//v2MHz+e8ePHc+hQSfeml156iddff50lS5awe/dufHx8GD16NHl5WtvAo0ePYrFYeOuttzh8+DD//e9/WbJkCX/961+d8pobgiJLEcsPLwdgVtdZGBvYbAFRC13GwbxDMGsjTHhPu553sMEmQAACPQO5rcNtQBVf1Axu2nXKMdirdVgh/SwccdBszBDrl9X6zwT55PdPyCrMol1AO4a2GmqnAEWj5OS6IKD9n66gsPXcVk6knXDafhsCSYIIIYSdPTv2HsJz/ck3GHht72tQ5FpnjV1RcuZ51qVuA2BEUQ+6dOqmc0RNz3/+8x/uvfde7r77brp06cKSJUvw9vbm/fffr3D8a6+9xpgxY/jLX/5CTEwMzz//PH369OGNN94AtFkgr776Kk899RS33norPXr0YPny5SQmJrJ+/XoAxowZw9KlSxk1ahTt2rVj3LhxPPbYY3z2WSXdKpqgb09/S2J2IkGeQYxr33C/LIsaMhih7VDofod23QiSWjO6zMCgGNiRuIOjqVclHo5sgC8eLr9RfiasnemYREhdOsRUMBOk0FzIh3EfAlotEIMiX8tcmhPb5FpF+kdyfZvrAdebDSL/2oQQws5C/T0Z3OoxAL72hN9+eknniISjvfDFQ+QbFLrmFXHn7W/oHU6TU1BQwN69exk5cqTtPoPBwMiRI9m5c2eF2+zcubPMeIDRo0fbxp86dYqkpKQyYwICAhgwYEClzwmQnp5OUFBQpY/n5+eTkZFR5tJYqapqOzCeGj0VT5OnvgEJl9TKrxWjI7XlhWW+qFnMsOkJoIpExKYntXH2ZO0QU5BZ8w4xeenatWeA7a6vTn1Fck4yIV4hjG031r4xisbHiW1yS7u7m7YMa+PJjSTnVDyzsimSJIgQQjjA46NuISq7Baqi8N9jK1Hzs/QOSThIXOJefij4HYDrPccQHhqic0RNT0pKCmazmbCwsi08w8LCSEpKqnCbpKSkKsdbr2vznPHx8SxatIg//rHyrj8LFy4kICDAdmndunXVL64B2520m7jUOLxMXkzpPEXvcIQLs7Zl3nRqExeyLmh3ntkBGYlVbKVqSYozO+wbjMkdmnfQbtd0ScxVM0FKJxinx0zH3Sit1F2edSZIyu9grqQltAP0DOlJn9A+FFmKWBG3wmn71ZskQYQQwgG83U2M6/4MbhaVXzyNfLf5b3qHJBzkhc2PYlEUBmWrTL3jBb3DEQ5y/vx5xowZw8SJE7n33nsrHTd//nzS09Ntl4SEBCdGaV8fHPoAgPEdxhPoGahrLMK1dWnehQHhAzCrZtsSErIu1mzjmo6rDWtdkJoWR72qJshP538iPi0eb5M3EztPtH98ovEJaA3uvmApLGn37CTW1swfH/uYrALXOGknSRAhhHCQewbH0iFHa6X32oVvKcpynWmGruK7w5/xK5cxqSojwmfj5+Otd0hNUnBwMEajkYsXy36ZuXjxIuHh4RVuEx4eXuV463VNnjMxMZHrrruOQYMG8fbbb1cZq4eHB/7+/mUujdGx1GNsT9yOQTEws8tMvcMRwjYb5JPfPyE9Px18w6rewKqm42rD2iGmJjNBVFWrUQK2mSBLD2sFXO/odAf+7o3z/whhZwYDhBS3X3ZicVSAYa2H0TagLZmFmXx6/FOn7lsvkgQRQggHMRoUZg17EV8znHI3serreXqHJOzIbDHzn90LARiZ6c5t4/6kc0RNl7u7O3379mXLli22+ywWC1u2bCE2NrbCbWJjY8uMB9i8ebNtfNu2bQkPDy8zJiMjg927d5d5zvPnzzN8+HD69u3L0qVLMRhc49DJOlV/VOQoWvm10jcYIYDBEYPp2KwjuUW5WlvZyEFai1+USrZQwL+lNs7eQou/rF6qQRKkKE87uw/g4cfhlMP8nPQzJsXEjC4z7B+baLx0KI4KYFAMttkgHx75kEKL85bj6MU1PsmFEEInN3VtT3Sh9oXqvcwD5FyO1zkiYS+rdr7OGWMefmYLo7r/HTdTw++y0Jg98sgjvPPOOyxbtoy4uDjuv/9+srOzufturajbzJkzmT9/vm38ww8/zKZNm3jllVc4evQozzzzDL/88gsPPvggAIqiMG/ePP7xj3+wYcMGDh48yMyZM4mIiGD8+PFASQKkTZs2/Pvf/+bSpUskJSVVWjOkqUjKTmLTqU1Aydl3IfSmKAp3d9X+va+IW0GBaoYx/7I+evVo7WrMi47pgBNSiw4x1qUwKODua5sFcmPbGwn3qXgmm3BRtuKozp0JAnBzu5sJ9grmYs5F2///TZkkQYQQwoEUReHhG18gtEDhstHI/30lswWagtzCHN459gEAN2QHM3LYeF3jcQWTJ0/m3//+N08//TS9evXiwIEDbNq0yVbY9OzZs1y4cME2ftCgQaxcuZK3336bnj178sknn7B+/Xq6dStpX/z444/z0EMPMWfOHK655hqysrLYtGkTnp5aF5TNmzcTHx/Pli1baNWqFS1atLBdmrIPj3xIkVpE//D+dG3eVe9whLAZ03YMYd5hpOSmsPHkRugyDiYtB/+r/k36R2j3d3FQW+egdiUdYtLPVT22VFHUhOzzbD6zGYBZXWc5JjbReOk0EwTA3ejO9JjpgLZcS61p++dGSlGb+iusQEZGBgEBAaSnpzfatbpCiMblz0uf4n+Gz/G0WPhi5LuEt654Cr9oHF76ch4fpmwhorCIFwd8SO/u/fQOqUGRz9kSje29yCjI4IaPbyCnKIf/G/F/DG01VO+QhChj2eFl/PuXfxPlH8Xn4z/HoBi0NrhndmhFUH3DtCUwjpgBUtriAdpymOmfQMcbKh93bi+8ez0EtOaF2KmsPraawRGDWXLDEsfGJxqfzIvwSidAgb9dADcvp+4+PT+dGz65gdyiXN4c+SZDWg5x6v7rqi6fszITRAghnODR8X+lba6JPIOBV/73uN7hiHpIybrIJ8laHYkRBTGSABFNytpja8kpyqFDYIdGcwAsXMuEjhPwc/PjdMZptiZs1e40GKHtUOh+h3bt6AQIlBSxrK4uSH46AFc8fFkfvx6Au7vd7cDARKPlGwpeQYCqLbVysgCPAO7odAdQ0h2sqZIkiBBCOEGrZt70D9Laan6jXOFI3Hp9AxJ19uKXfyLXADF5hUwZt0jvcISwmwJzASviVgDalzRFqazgpBD68XX3tbWVtRbw1UVoDTvEFNcEWe1lIM+cR0xQDP3D+zs4ONEoKUqpuiDOXxIDMCNmBkbFyO6k3Ry+fFiXGJxBkiBCCOEkfxp3L92zvFEVhZe2/wNO/QgHP9GuLWa9wxNVsZjh1I/E73iV/+VqBwXXma6nTauWOgcmhP1sPLmRlNwUQr1DuTHqRr3DEaJS02OmYzKY2Je8jwPJB/QJIqSzdn2pmi+r+RnkKgqrDDmAJBhFNWzJNecXRwVo4duCMW3HAE17NogkQYQQwkn8Pd0Y1v5JTKrKXrd8tq+9Az6dDctuhle7wZENeocoKnJkg/b7WXYzrx1YhFlRuC47lxm9husdmRB2Y1EttrPqM2Jm4GZ00zcgIaoQ6h3Kze1uBnScDVLTDjF5GWzw9eEKZlr6tuSGyCrqhwihY3FUK2sXpm/PfMu5zGoK/zZSkgQRQggnuqeVgakZmQC8GBTILk8PkoxGyLgAa2dKIqShObJB+71kJPKNtxc/+HhjVFX+nHoF3y/myO9LNBnbzm3jVPopfN18bWvChWjI7up6FwDfnf2O0+mnnR9A8/ZgcIOCrCo7xJjz0lgW4AfAjC4zMBlMzopQNEY6L4cB6BzUmUERg7CoFj488qFucTiSJEGEEMJZLGbcvn2SOWkZeFgsnHZ3594WYYxuHcFnvt7amE1PytKYhsJihk1PACqf+PrwWGgwAGZgv6eHNkZ+X6KJWHpoKQATO0/E191X52iEqF77wPYMazUMFZXlR5Y7PwCjGzTvoN2uojjqd+nHSXBzI0Bx57YOtzkpONFohRYX3M04B/uW67Zk2ppkXBe/jrS8NKfv39EkCSKEEM5yZgdkJJKnKBSUWg9sURSeDQ4iyWiAjPPaOKG/4t9XktHIc8FBWsEyAPl9iSbm10u/si95HyaDiTtj7tQ7HCFqzPpF7fP4z0nJTXF+ANa6IJWctVdVlaXZxwGYHBCDt5u3syITjdWpH0Ep/oq+4SHdlkwPbDGQ6KBocotyWX1stVP37QySBBFCCGfJugjAWTcT6lVF0SyKQoKbqcw4obPi38MuLw/5fYkmzVr8bmzbsYR6h+objBC10DesL92Du1NgKWDV0VXOD8Bav6GSmSB7L+7loDkTd4vK1NBrnBiYaJSsS3BVS9n7dVgyrSiKLcm46ugq8orynLZvZ5AkiBBCOItvGABtCoswXFVETVFVWhcWlRkndOYbRr4CS/39yz1kkN+XaCLOZJxhy9ktQMlZdSEaC0VRuLubVsRxzbE15BTmODeAkOKlC5UkQaxFW2/NyiLYJ8JJQYlGqdQS3PKK73PyEtxRUaOI8IkgNS+VDSeaVg00SYIIIYSzRA4C/wjCzRYWpKSWSYQYVMgwGMG/pTZO6C9yEP8NDuOkhzs+Fovt92VQVRakpBJutsjvSzR6yw8vR0Xl2lbX0qFZB73DEaLWrm99PW382pCen866+HXO3Xlo5R1iTqSdYOu5rSgqzErPBM/yCXUhbIqX4FZOdfoSXDeDGzO6zABg+ZHlmJtQDTSHJkFSU1OZPn06/v7+BAYGMnv2bLKysiodf/r0aRRFqfDy8ccf28ZV9Pjq1U1vrZIQookxGGHMvwC4PSuHbxISee/CRa7JzcVsUHg8NIi8G57VxgndfXd0HSt8tQKo/0pO4ZuERN6/cJFvEhK5Pav4bOOYF+X3JRqty7mXWR+/HpBZIKLxMhqMzOwyE4APj3xIkaXIeTsPaleqQ0xCmYess0CuL1KILCoCDz/nxSUan5ourXXyEtzbO96Ov7s/ZzLO8H3C907dtyM5NAkyffp0Dh8+zObNm9m4cSPbtm1jzpw5lY5v3bo1Fy5cKHN59tln8fX15cYbbywzdunSpWXGjR8/3pEvRQgh7KPLOJi0HPxbEG420z8vn5eTL9O8yMwJd3f+cWSl3hEKICXrAk/vfg6AW9LNDDE2I9xs5pq8fMLNZvCP0H6PXcbpHKkQdbf297UUWAro1rwb/cL66R2OEHV2a4dbaebRjPNZ523Lu5yidIeY5JIlMSm5KXx58ksA7sosrqXgITNBRBVqurTWyUtwvd28mdx5MkD9uzBZzFrh14Of6Nb1xsphjarj4uLYtGkTP//8M/36aR+sixYt4qabbuLf//43ERHl18UZjUbCw8PL3Ldu3TomTZqEr2/Zdm2BgYHlxgohRKPQZRxEj9WmNGZdJMg3lCFfreFz3218nhfP0J/fZPQ19+sdpcuyqBYeXTeNdINK+/wiRg18H2O//rbfF75h2hIYmQEiGrFCcyFrj60FYEaXGShXFf8VojHxNHkysfNE3v7tbVbGrWR01Gjn7Tw0Gi7FaXVBOo0C4JPfP6HQUkiP4B70Oru5OEhJgogqFC+ZJuMCFdcFAbyCdFmCOyV6CksPLWV/8n7iLscR0zym9k9yZINW86T0kh//CG2GtA4nlBw2E2Tnzp0EBgbaEiAAI0eOxGAwsHv37ho9x969ezlw4ACzZ88u99jcuXMJDg6mf//+vP/++6hqJX8sQH5+PhkZGWUuQgihK4MR2g6F7negtL2Wh2e8wrXp2lTZ5w4t5mJqvM4Buq53vvsb+ywpeFosjPCYyvD+sWV+X7QdKgkQ0ehtPrOZlNwUgr2CuSHyBr3DEaLeJnWahEkxsS95H8dSjzlvxyFlO8QUWgr5+Ji2jH9qp4lgztcel5kgoiqllkxDJUnp3Cvw2xqnhWQV6h1q+5xYebQOM5atXW+urnmiQ9cbK4clQZKSkggNLdtmzWQyERQURFJSUo2e47333iMmJoZBg8pmvJ577jnWrl3L5s2bmTBhAg888ACLFi2q9HkWLlxIQECA7dK6devavyAhhHCgEH9Pbh/2Pu3zLWQYFP6y4U7MZieuaxYAHD77I0sSvgBgdHpL7p32N50jEsIxrAeykzpNws3opnM0QtRfmE8YIyJHAHX8olZXIZ216+Q4ALac2UJybjLNPZszOqx/yTipCSKqU2rJdBn+LSHqWkCF9ffDriVOD21azDQAvjr5FVfyrtR8wwbY9QbqkAR58sknKy1ear0cPVpxm6jayM3NZeXKlRXOAvn73//O4MGD6d27N0888QSPP/44L7/8cqXPNX/+fNLT022XhISESscKIYReRvSMZrDvXDwtFvYr2SzZ9Ce9Q3IpOflZPPa/hyhSFAZkq9w5YTmebjLjQzQ9h1MO8+ulXzEZTEzsPFHvcISwm+kx0wH48uSXpOWlOWenpTvEWCwlCcbOk3ArzNUec/eTGYSiZrqMg3mHYNZGmPCedj3vIMz8HAbO1cZsegJ+eLFcRyJH6hnSk5igGAosBXx6/NOab9gAu95AHZIgjz76KHFxcVVe2rVrR3h4OMnJyWW2LSoqIjU1tUa1PD755BNycnKYOXNmtWMHDBjAuXPnyM/Pr/BxDw8P/P39y1yEEKIhemjiH7k2QzugeufSNn49/pXOEbmOBevv5JzRTGiRmevavkB0a6k7JZom65e00VGjCfYK1jkaIeynV0gvYoJiyDfn1+6LWn1YO8QUZnPk7A/sT96PSTExsdNEyEvXxkg9EFEbFS3BNRhg9AtwXfEM1R8Wwqb5YLE4JSRFUWxJxjXH1tS8C1MD7XpT6yRISEgI0dHRVV7c3d2JjY0lLS2NvXv32rb97rvvsFgsDBgwoNr9vPfee4wbN46QkJBqxx44cIBmzZrh4eFR25cjhBANiqebkTkT36FflgmzovD4j0+SnZuqd1hN3sY9i9iUdwJFVbk27zqmjZGuL6Jpupx7ma9PfQ3AtOhpOkcjhH0pisLU6KlALb+o1YfRDYI7ArDyyEcA3BB1AyHeIZBfXIdQ6oEIe1AUGPY43PiS9vPuN+HzueCk5dNj2o6hmUczkrKTat4u1ye0+jHg9K43DqsJEhMTw5gxY7j33nvZs2cP27dv58EHH2TKlCm2zjDnz58nOjqaPXv2lNk2Pj6ebdu28Yc//KHc837xxRe8++67HDp0iPj4eN58803++c9/8tBDDznqpQghhFN1jmjGiJj/ElZoJtGo8vRnU/UOqUlLTDnKC4ffAuD69ADmznxFOmWIJuvT459SaCmkW/Nu9AjpoXc4QtjdjW1vJNAjkAvZF9iasNU5Ow3pTKrBwNcp+4BSCca84iSIzAQR9jTgjzB+CShG+HUlfDwLCvMcvlsPowd3dLoDgJVxNai7Y7HAweoKuSpazRMnd71xWBIEYMWKFURHRzNixAhuuukmhgwZwttvv217vLCwkGPHjpGTk1Nmu/fff59WrVoxatSocs/p5ubG4sWLiY2NpVevXrz11lv85z//YcGCBY58KUII4VTTrxvGwKJbMagq3xYlsv6nhXqH1CQVmQt5ZOMssgwK0XkWbrt+KcF+nnqHJYRDFFoKWXNMOyC1FrkToqnxNHmWfFFzVoHUkBg+8/OlQDXTtXlXeob01O6XmSDCUXpNhckfgtEdjm6ElZMgP8vhu53UeRJGxcgvF3+puguTxazNUtn/ESXdbq4+wVT885gXnV4zx6FJkKCgIFauXElmZibp6em8//77+Pr62h6PiopCVVWGDx9eZrt//vOfnD17FoOhfHhjxoxh//79ZGZmkpWVxYEDB/jjH/9Y4VghhGisFEXhkRnPMjRdm0a48PgKEpJ+1TmqpmfRl/dxWMnBx2Ih1v9hhnXvpHdIQjjMlrNbSM5JJsgziNFRo/UORwiHmdx5MkbFyJ6kPfx+5XeH768opCOr/bXvONNippXMJpSZIMKRosfC9E/AzQdObYXlt0KOY5dQh/uEM6KN1oVp1dFVFQ8yF8G6P2qzVBQjTHgXJn1YQdebCK0bThfnL0GWzIEQQjRQQT7uTL5hKdG5KjkGhUe/vofCoooLQIva+yXuMz5I3Q3AkIwezJ1YvhuZEE3JqjjtgHVip4m4G911jkYIxwn3Cef6NtcDVXxRs6PvzJlcNJkIMlsY06bUTHaZCSIcrd0wmPUFeDWD87/AB2MhM0l7zGKGUz/CwU+0azu1obXOJPzy5Jek56eXfdBcCJ/eAwc/BoMJJi7VCrxW1vVGhwQISBJECCEatKFdIhkY9AS+ZgtxhgJe/UK+qNtDelYST+5cgEVRGJDpzn1TluBhkvaFouk6mnqUfcn7MCkmJnWepHc4QjictUBqhV/U7Gzl+e8AmJCZiXvpLhcyE0Q4Q6u+cNdX4BsOyUfg/dHw87vwajdYdjN8Olu7frUbHNlQ7931Ce1D52adyTPn8dnxz0oeKMqHtbPgyOfaMp3JH0GXW0ser6jrjU4kCSKEEA3cQ7dPJzarHwAfph9g10EnrXFuolRV5al1U7lohIhCC9d1e50OYQF6hyWEQ1mL2I2MHEmodw2r9QvRiPUL60enZp3ILcplffx6h+3nWOox9ibvw6jC5IwsuHS05EGZCSKcJawL3LMJAiPhymn48lHISCw7JuMCrJ1Z70SIoii22SCrj67GbDFrhVnX3AnHvgSjB0xZBZ1vrNd+HEmSIEII0cC5mwzMnfIGAzI8URWFv/68kLTMxOo3FBVa+93f+MGSgklV6WOZwrRhzq1ILoSzXcm7wpcnvwRgesx0naMRwjkURbF1aVl1dJX2Rc0BrMVXR5qaEWY2SxJE6CeorTYjxGCqZICqXW16st5LY25qexMBHgEkZifyw+lvYdUUOP4tmLxg+lroOLJez+9okgQRQohGoH2oHzf0WkyrAguXjDB/3RRUVdU7rEbnVMJP/PusdgZkYForHp/+hLTDFU3ep8c/pcBSQExQTEnXCiFcwE3tbsLf3Z/zWefZdm6b3Z8/LS/NlmCcFtJfuzO5VBJElsMIZ7tyCixFVQxQIeM8nNlRr914mjyZ0HECAKu2PQ0nv9cKtN75CbQbXq/ndgZJggghRCMxacg19GE6JlXlJ/UKK7fM1zukRqWgIJtHNz9InkEhJsfAnTe+RzMfKQ4pmrYiS1GZtriS9BOuxMvkZfui5oh2uZ/Ff0a+OZ/ooGh6txqi3XkprmSAzAQRzla6Jo09xlVhctRYDCrsVvKI9w6AGesgaki9n9cZJAkihBCNhKIo/GX6YwxOawPAfxM2En9mq0MqfzcZpSqjv7JmHMeNZgLMFq4Je5bBnVvqHZ0QDvdDwg8kZSfRzKMZN7ZtuOuzhXCUydGTMSgGdl3YxYm0E3Z73iJLEauPrgZgWvQ0lNAu2gOXjoHFot2WmSDC2XzDajbu7K76tdPNTSPis/u5LicHgFV9xkObAXV/PieTJIgQQjQigd7uTB/7Lt1zFPINCo9/+0fyl9u/8neTcGSDrTL6T1/NZaUlGYCb0jvx8Dh9WrIJ4Wwr4lYAcEenO/AweugcjRDO19K3JcNbDQfs2y53a8JWLmRfINAjUEswBrXTOmIU5kB6gjZIZoIIZ4scBP4RQDWz/n5+B17pDB/fDSe+K0ncVeTqVrtZl2D5rXD+F6bna0O+uLjL4V2Y7EmSIEII0cjEdoxggvc4gorMHHd34x9BQezx9CDJaLRb5e9G78gG7X3ISCTOzY3HQ5oDMCU9k/np3+P++0adAxTC8Y6lHuOXi79gVIzSFle4NGsniw0nNpBZkGmX57Qur5nQcQKeJk8wmqB5R+1Ba3FUmQkinM1ghDH/Kv7h6kSIol36zILwHmAugMOfwYe3wWs94YcXIS2h7CalTijZTrj9JwYuHADvYPpNWU+HwA4O78Jkb5IEEUKIxsZi5vaUT3k+5TIA6/19md0ijNGtI/jM11sbY4fK342WxQybngBUPvH1YVLLcDKNRlBVOhQWaocErvz+CJdhPet9fZvrCfcJ1zkaIfTTP7y/Xb+oHb9ynD1JezAoBiZ3nlzyQEhn7To5DsyFUJSr/SwzQYQzdRkHk5aDf4uy9/tHaPePex3u+xHmbIVr/gAeAZB+Fn5YCK92hw9vh8Pr4NCnthNKZVgKteuhj6G06F6+XW4jIEkQIYRobM7sQMlMpFNBIZTqEGNRFJ4NDiLJaLBL5e9G68wOyEjknNHIs8FBYC0EqSj8s3kzeX+ES0jPTy/pWlHcJlQIV6UoClOjpwJactCiVjH1vwasCcYRbUbQwrfUF83QGO360tGSWSAgSRDhfF3GwbxDMGsjTHhPu553ULvfKqIXjH0FHjsGt78DUUMBFU5sgY/vgk9mY2urW5Gdi8BiZmzbsfi5+3Eu6xw/nf/Jsa/LTiQJIoQQjU1xRe+zbqaSL/jFLIpCgpupzDiXk3WRDIPCn8NC5P0RLuuz45+RZ86jU7NO9A3rq3c4Quju5nY34+fuR0JmQr2+qKXnp7PxpLak0ppYsQmJ1q4vHQVrfQQ3H22pjBDOZjBC26HQ/Q7t2mCseJybF/SYBHdthD/th6GPglcQVSZAwHZCydvNm9s73A6U1KFq6CQJIoQQjU1x5e82hUUY1PIfUJu9vbSPrZpWCG9iLhSkM6tFGEc93MvMlAEwqCqtC4u0H1z0/RFNn9litrXFnR4zXdriCgF4u3lzW4fbAFgZV/d2uevj15NblEvHZh3pF9av7IO2mSDHIK84CSL1QERjEtQORjwNY16s2fjiE0pToqegoLDzwk5Opp90YID2IUkQIYRobIorf4ebLSxISbUlQpTi61UB/jwZFkpBi556RqmLuKPrmPbrf4h3dye0qIj70tJt749BVVmQkkq42QL+LbX3UYgmaOu5rZzPOk+ARwA3tb1J73CEaDCsX9S2J27nVPqpWm9vtphtS2GmRU8rn2Bs1rakQ8zFw9p9shRGNEb+ETUbV3xCqZVfK4a1HgbAqjj7dWFyFEmCCCFEY1Oq8vftWTl8k5DI+xcu8m1CIs9euoxJVfnK25N7V48gPeOczsE6z7bdrzJr599JMRqIzLfwUeJFHkjLtL0/3yQkcnuW1s+eMS9WPi1UiEbO2rXi9o63a10rhBAAtPZrzbBW2he11UdX13r7H8//yPms8/i7+zO23djyA0p3iEnYrV3LTBDRGFXbalcpd0LJWn/Knl2YHEWSIEII0RiVqvwdbjZzTV4+4WYzt6gB3JrcCW+LhX1KHnd+chPnzv+sd7QOt/bbP/OnuHfJNShE55iI9n2N4NuWolz1/tgqo5cuDCZEExJ/JZ7dF3ZjUAxM6TxF73CEaHCmxmh1PNbHryerIKtW21rrHUzoOAEvk1fFg0KL64Ik7NGuZSaIaIyqbbVLuRNKA1sMpF1AO3KKcvg8/nOnhFlXkgQRQojGqoLK326PHmLOnBXEpM0ipMjCaaPK9G/u5lDcp3pH6xAWcxH/+WQCz1/4H2ZFoWeGL7FRH/Dy1BG4dbu1+sroQjQx1qn617W+jgjfGk5nFsKFxLaIpW1AW+2L2omaf1E7mXaSXRd2aW1xoydXPjCkVIcYkJkgovGqrtXuVcdTiqLYZoPYowuTI0kSRAghGrMKKn9HBHrx+v1/pmPhk0Tmq6QaFe7etYDvd76sd7R2lZ+fweOrRrA0+3cAel9uyc39V/HIjT1L1mnXtDK6EE1ARkEGX5z8ApC2uEJUpvQXtdVHV9f4i5p1mdnwVsNp6duy8oEhncv+7OFXpziFaBBq0mq3lFva34Kfmx9nM8+y/fx2Jwdbc5IEEUKIJsjf041Ff5hOjO9rxGSbyDMozDu2jJVf3V+uY0pjlJZ2hj+svI5vzKmYVJVeF3sx++YPmTIgSu/QhNDN+uNa14oOgR24JvwavcMRosEa134cvm6+nM44zc7EndWOzyzIZMOJDQBMi6kmwWjtEGMly2FEY1eLE0rebt7c2uFWoCRx2BBJEkQIIZood5OBl6Zez4D2y+iZ7o9FUVh46SdeXjsOS1GB3uHVWcL5PUz/7BYOGArwNVvokjyGJ+98g2GdQvQOTQjdlO5aMTV6qrTFFaIK3m7ejO8wHiip81EVa1vcDoEd6B/ev+rB1g4xVp4B9YhUiMZnavRUFBR+Ov8Tp9NP6x1OhSQJIoQQTZiiKDw6uge3DFhJz5RIAJbnnebRFcPIy07RObraO3j0M6Z/cw9njSohRRY6pt/NS3Oep2uEHGQK1/bT+Z84l3UOP3c/bm53s97hCNHgTYnWCgf/dP4nzmacrXScRbXYOsnUKMFoNEFwp5KfZSaIcDFt/NswtNVQAFYfq30XJmeQJIgQQriAyQMiufeWpXS52B83VeV/ZDF7zUhSLx3RBljMcOpHOPiJdm0x6xtwBfFs2f1f7tn5NFeMCm3zVdoVzmfRfQ/TMrCSCv1CuBBbW9wOt+Pt5q1zNEI0fJH+kQxtORQV1TaLqiI/nf+Js5ln8XOrRYKxdBIkM0n/z1QhnMxad2d9/HqyC7N1jqY8k94BCCGEcI5hnUIIvvM/PP3RyyQGr+M3I9y5YRJvtp9K5L6PICOxZLB/hNYaTY9OKkc2wKYnysTzYVAoL/t7oBoUumUbaRXwb16YfD3uJsnlC3Ey/SQ7EnegoFTdtUIIUca0mGn8eP5H1sev56HeD1WYQLQmGG/reFvNEoxHNkD85pKft/8XDq7R7zNVCB3ERsQS5R/F6YzTbDixganRU/UOqQw5ehRCCBfSNSKA1+f8jVYZDxBaqJJgUrjz5AoO5KeQZDSyx9ODJKMRMi7A2pnawZwzHdmg7TcjkSSjkV2eHjzdvBkvBXiiKgrXppvoG7WMl6aNkASIEMVWxWlnsYe1GkZrv9Y6RyNE4zEoYhCR/pFkFWbZCp+Wdir9FNvPb0dBsS2fqZL1Myw/s+z9en2mCqETg2Kw/ZtZGbeywbXLlSNIIYRwMS0DvXj3j3NoVfQMXfIKSDMauSs8jFGtI5jdIozRrSP4zLf4bNemJ503jddi1maAoPKZrw+jW0dwb4sw1vlr7QXnXb7Cv3JyeGxMNyn6KESxrIKsmnetEEKUYVAMtjPUq46uQr2qe5q1Fsi1ra6tPsFY6jOsvOL7nPmZKoTObm1/Kz5uPpzOOM2uxF16h1OGJEGEEMIFBXi58e7IUJYmXWRgTi5mg4JanFiwKArPBgeRZDRAxnk4s8M5QZ3ZARmJHHNz45ngICylEh2KqjI2OwffvCTnxSNEI/D5ic/JKcqhXUA7BrYYqHc4QjQ6t7a/FW+TNyfTT7LrQskXtezCbD4/8TlQwwRj8WdY5VTnfqYKoTNfd19ubd8w2+VKEkQIIVyUW24y3qrK7PSMco9ZFIWnQoL4yseb9FM/gKWG0xjrUGBVNZv5/djnvLvjH8xoEcYdLcNtCRnbGEUhwa24jFXWxZrFIkQTZ1Et0hZXiHrydffl1g7lv6h9Hv852YXZtA1oS2yL2OqfqKafTfIZJlyIdabVtnPbSMhI0DmaElIYVQghXJVvGABRhUUYVLXMzAuA3V5e7Pbywnh2Db3eW8Uwv3YMazeWtl0nofg0L/98FRQ0razAan7aWfb8toytCT+wLT+JC8binLynh3atqlAqHoOq0rqwqEzcQri67ee3cybjDL5uvoxrLwUXhairqdFTWXV0FVsTtpKQmUBL35a1TzDW9LNJPsOEC4kKiGJwxGC2J25n1bFVPH7N43qHBDhwJsgLL7zAoEGD8Pb2JjAwsEbbqKrK008/TYsWLfDy8mLkyJEcP368zJjU1FSmT5+Ov78/gYGBzJ49m6ysLAe8AiGEaOIiB4F/BOFmCwtSUjEUr4U2qCqz09KZfSWd9gWFmBWFve5G/pN/hlvj/o+bVg3hxaUD2LHpzxSe+0WbJVKqoGkZ1mJwhz4lOe5zPlk/g4fe683QdTfywKm1rClK5oLRgLtFJSbbnccuZfHt2fM8e1U8C1JSCTdbwL+lFrdwSYsXLyYqKgpPT08GDBjAnj17qhz/8ccfEx0djaenJ927d+err74q83hjP+6wnrUe32G8tMUVoh7aBrRlUMQgVFTWHF3DzsSdnM44jY+bT80TjMWfqVBZwkSRzzDhkqzLydYfX09OYY7O0WgclgQpKChg4sSJ3H///TXe5qWXXuL1119nyZIl7N69Gx8fH0aPHk1eXp5tzPTp0zl8+DCbN29m48aNbNu2jTlz5jjiJQghRNNmMGqzNIDbs3L4JiGR9y9c5JuERB6+ksHDaRncrN6PMeFxwi/2p022HyZV5ZybiRWGHP548X8M2TyLR97pxvpv/kSKQTvws3aZuWA0csjdjcWB/kza8VdG7HmKZ9MP8IOpiFyDgaAiiEkLplXCCIKvvEzfdisYfM0LhJst5eK5Pav4Q3PMi1rcwuWsWbOGRx55hAULFrBv3z569uzJ6NGjSU5OrnD8jh07mDp1KrNnz2b//v2MHz+e8ePHc+jQIduYxnzccSbjDD+d/wkFpcG1HhSiMZoeMx2Az+I/Y+mhpQDc1uE2fNx8avYEpT5TyydCin+WzzDhgoa0HEIbvzZkFmay8eRGvcMBQFGvLoNsZx988AHz5s0jLS2tynGqqhIREcGjjz7KY489BkB6ejphYWF88MEHTJkyhbi4OLp06cLPP/9Mv379ANi0aRM33XQT586dIyIiokYxZWRkEBAQQHp6Ov7+/vV6fUII0ehVuIylpXaw1mUchWYLv5y+wpa4i2w5mkBW3k+E+P9Mms8FMk0ltUIUVaVlURHnTSatpsdVS1oUVaVlvgdumW25kH0tnVv154aYcK6PDqV1kHeN4xENnyM+ZwcMGMA111zDG2+8AYDFYqF169Y89NBDPPnkk+XGT548mezsbDZuLDngGjhwIL169WLJkiVOO+5w1DHHv/b8i4/iPmJoy6H838j/s9vzCuGqLKqFm9fdTEJmSd2CjbdtJNI/snZPJJ9hQpTz4ZEPeennl2gf0J51t66zaw2runzONpiaIKdOnSIpKYmRI0fa7gsICGDAgAHs3LmTKVOmsHPnTgIDA20HIgAjR47EYDCwe/dubrvtNj1CF0KIxq3LOIgeq1Wsz7qorVeOHGQ7W+VmNBDbvjmx7Zvz1M1dOHlpMN8dTWZz3AV+O/cr/f3Wked7hiMeHpxzcyt53uJEyNDcPEZl5/BT7gyU6GmMGBzKkI4h+HpU8hFUTTzC9RQUFLB3717mz59vu89gMDBy5Eh27txZ4TY7d+7kkUceKXPf6NGjWb9+PdC4jzuyC7NZF78OkLa4QtiLQTEwpfMUXv7lZUA7e13rBAjIZ5gQFRjfYTyL9i/iRPoJdift1r2bWYNJgiQlJQEQFla2WFBYWJjtsaSkJEJDQ8s8bjKZCAoKso2pSH5+Pvn5+bafMzLKd0IQQgiXZjBC26E1GtouxJd2Ib78YWg70nP7c2h7BIN/msU33l48FhZSdrCicHd6Btfk5TNu5lgM7XraPR7R9KWkpGA2mys8Rjh69GiF2yQlJVV7TGG9r6oxtT3ucMYxx4YTG8guzCbKP4pBEVJfQAh7Gd9xPG8ceIPcolymRdcjwSifYUKU4efux7j241hzbA0r41bqngSpVU2QJ598EkVRqrxUdjCip4ULFxIQEGC7tG7dWu+QhBCiSQjwcmPw9beAfwQ98gttxUyttK4uZvBviSFqsE5RCuE8zjjmGNhiIJM7T+aurndhUBxW3k0Il+Pv7s+i6xfxTOwzDGk5RO9whGhSpkVPY1irYUyJnqJ3KLVLgjz66KPExcVVeWnXrl2dAgkPDwfg4sWyvbMvXrxoeyw8PLxcAbSioiJSU1NtYyoyf/580tPTbZeEhIbTo1gIIRq94mJwLcxmFqRcuaqryxXCzWYpBifqJTg4GKPRWOUxwtXCw8OrPaaw3lfVmNoedzjjmKNtQFueGvgUEzpNsPtzC+HqBrQYwIROE+xas0AIAe0C2/HGiDcaxAzGWiVBQkJCiI6OrvLi7u5ep0Datm1LeHg4W7Zssd2XkZHB7t27iY2NBSA2Npa0tDT27t1rG/Pdd99hsVgYMGBApc/t4eGBv79/mYsQQgg76jIOJi3ndoN/2a4uhgCYtFyKwYl6cXd3p2/fvmWOESwWC1u2bLEdI1wtNja2zHiAzZs328Y76rhDjjmEEEKIhs1hNUHOnj1LamoqZ8+exWw2c+DAAQA6dOiAr68vANHR0SxcuJDbbrsNRVGYN28e//jHP+jYsSNt27bl73//OxEREYwfPx6AmJgYxowZw7333suSJUsoLCzkwQcfZMqUKTXuDCOEEMJBiovBhZ/ZQbgUgxN29sgjjzBr1iz69etH//79efXVV8nOzubuu+8GYObMmbRs2ZKFCxcC8PDDDzNs2DBeeeUVxo4dy+rVq/nll194++23AeS4QwghhHBRDkuCPP300yxbtsz2c+/evQH4/vvvGT58OADHjh0jPT3dNubxxx8nOzubOXPmkJaWxpAhQ9i0aROenp62MStWrODBBx9kxIgRGAwGJkyYwOuvv+6olyGEEKI2pBiccJDJkydz6dIlnn76aZKSkujVqxebNm2yFTY9e/YsBkPJBNdBgwaxcuVKnnrqKf7617/SsWNH1q9fT7du3Wxj5LhDCCGEcD2Kql5Vxc4F1KWXsBBCCCFqRj5nS8h7IYQQQjhOXT5npaS4EEIIIYQQQgghXIIkQYQQQgghhBBCCOESJAkihBBCCCGEEEIIlyBJECGEEEIIIYQQQrgESYIIIYQQQgghhBDCJUgSRAghhBBCCCGEEC5BkiBCCCGEEEIIIYRwCZIEEUIIIYQQQgghhEsw6R2AHlRVBSAjI0PnSIQQQoimx/r5av28dWVyzCGEEEI4Tl2OOVwyCZKZmQlA69atdY5ECCGEaLoyMzMJCAjQOwxdyTGHEEII4Xi1OeZQVBc8TWOxWEhMTMTPzw9FUfQOxykyMjJo3bo1CQkJ+Pv76x2O7uT9KE/ek/LkPSlL3o/y5D0py/p+nD17FkVRiIiIwGBw7ZW3cswh/y7k/ShP3pPy5D0pS96P8uQ9Kas+xxwuORPEYDDQqlUrvcPQhb+/v/yjKUXej/LkPSlP3pOy5P0oT96TsgICAuT9KCbHHPJ3YCXvR3nynpQn70lZ8n6UJ+9JWXU55nDt0zNCCCGEEEIIIYRwGZIEEUIIIYQQQgghhEuQJIiL8PDwYMGCBXh4eOgdSoMg70d58p6UJ+9JWfJ+lCfvSVnyfgiQv4OryftRnrwn5cl7Upa8H+XJe1JWfd4PlyyMKoQQQgghhBBCCNcjM0GEEEIIIYQQQgjhEiQJIoQQQgghhBBCCJcgSRAhhBBCCCGEEEK4BEmCCCGEEEIIIYQQwiVIEsQFvfDCCwwaNAhvb28CAwP1DkcXixcvJioqCk9PTwYMGMCePXv0Dkk327Zt45ZbbiEiIgJFUVi/fr3eIelq4cKFXHPNNfj5+REaGsr48eM5duyY3mHp6s0336RHjx74+/vj7+9PbGwsX3/9td5hNRgvvvgiiqIwb948vUPRzTPPPIOiKGUu0dHReoclGgA55pBjjtLkmKMsOeYoT445qibHHPY55pAkiAsqKChg4sSJ3H///XqHoos1a9bwyCOPsGDBAvbt20fPnj0ZPXo0ycnJeoemi+zsbHr27MnixYv1DqVB2Lp1K3PnzmXXrl1s3ryZwsJCRo0aRXZ2tt6h6aZVq1a8+OKL7N27l19++YXrr7+eW2+9lcOHD+sdmu5+/vln3nrrLXr06KF3KLrr2rUrFy5csF1++uknvUMSDYAcc8gxR2lyzFGWHHOUJ8cclZNjjhL1PuZQhctaunSpGhAQoHcYTte/f3917ty5tp/NZrMaERGhLly4UMeoGgZAXbdund5hNCjJyckqoG7dulXvUBqUZs2aqe+++67eYegqMzNT7dixo7p582Z12LBh6sMPP6x3SLpZsGCB2rNnT73DEA2YHHNo5JijhBxzlCfHHBWTYw455ijNHsccMhNEuJSCggL27t3LyJEjbfcZDAZGjhzJzp07dYxMNFTp6ekABAUF6RxJw2A2m1m9ejXZ2dnExsbqHY6u5s6dy9ixY8v8f+LKjh8/TkREBO3atWP69OmcPXtW75CE0JUcc4jakmOOsuSYo4Qcc5RV32MOk4PiEqJBSklJwWw2ExYWVub+sLAwjh49qlNUoqGyWCzMmzePwYMH061bN73D0dXBgweJjY0lLy8PX19f1q1bR5cuXfQOSzerV69m3759/Pzzz3qH0iAMGDCADz74gM6dO3PhwgWeffZZhg4dyqFDh/Dz89M7PCF0IcccojbkmKOEHHOUJcccZdnjmENmgjQRTz75ZLkCMVdf5ANXiNqZO3cuhw4dYvXq1XqHorvOnTtz4MABdu/ezf3338+sWbM4cuSI3mHpIiEhgYcffpgVK1bg6empdzgNwo033sjEiRPp0aMHo0eP5quvviItLY21a9fqHZpwADnmEML+5JijhBxzlJBjjvLsccwhM0GaiEcffZS77rqryjHt2rVzTjANWHBwMEajkYsXL5a5/+LFi4SHh+sUlWiIHnzwQTZu3Mi2bdto1aqV3uHozt3dnQ4dOgDQt29ffv75Z1577TXeeustnSNzvr1795KcnEyfPn1s95nNZrZt28Ybb7xBfn4+RqNRxwj1FxgYSKdOnYiPj9c7FOEAcsxRM3LMIWpKjjnKkmOOEnLMUb26HHNIEqSJCAkJISQkRO8wGjx3d3f69u3Lli1bGD9+PKBNP9yyZQsPPvigvsGJBkFVVR566CHWrVvHDz/8QNu2bfUOqUGyWCzk5+frHYYuRowYwcGDB8vcd/fddxMdHc0TTzzh8gcjAFlZWZw4cYIZM2boHYpwADnmqBk55hDVkWOOmpFjDjnmqEpdjjkkCeKCzp49S2pqKmfPnsVsNnPgwAEAOnTogK+vr77BOcEjjzzCrFmz6NevH/379+fVV18lOzubu+++W+/QdJGVlVUmc3rq1CkOHDhAUFAQbdq00TEyfcydO5eVK1fy+eef4+fnR1JSEgABAQF4eXnpHJ0+5s+fz4033kibNm3IzMxk5cqV/PDDD3zzzTd6h6YLPz+/cuu1fXx8aN68ucuu437ssce45ZZbiIyMJDExkQULFmA0Gpk6dareoQmdyTGHHHOUJsccZckxR3lyzFGWHHOUZ5djDnu0qRGNy6xZs1Sg3OX777/XOzSnWbRokdqmTRvV3d1d7d+/v7pr1y69Q9LN999/X+Hfw6xZs/QOTRcVvReAunTpUr1D080999yjRkZGqu7u7mpISIg6YsQI9dtvv9U7rAbF1dvVTZ48WW3RooXq7u6utmzZUp08ebIaHx+vd1iiAZBjDjnmKE2OOcqSY47y5JijenLMUf9jDkVVVbXueRghhBBCCCGEEEKIxkG6wwghhBBCCCGEEMIlSBJECCGEEEIIIYQQLkGSIEIIIYQQQgghhHAJkgQRQgghhBBCCCGES5AkiBBCCCGEEEIIIVyCJEGEEEIIIYQQQgjhEiQJIoQQQgghhBBCCJcgSRAhhBBCCCGEEEK4BEmCCCGEEEIIIYQQwiVIEkQIIYQQQgghhBAuQZIgQgghhBBCCCGEcAmSBBFCCCGEEEIIIYRL+H+E7Vsnjzfb4QAAAABJRU5ErkJggg==",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Initial values\n",
"depol_prob = 0.01\n",
"decay_prob = 0.01\n",
"readout_prob = 0.01\n",
"\n",
"opt_results = []\n",
"for i, entry in dfb.iterrows():\n",
" ofunc, results = get_obj_func(entry['z_vals']) \n",
" opt_result = scipy.optimize.minimize(ofunc, \n",
" [depol_prob, decay_prob, readout_prob],\n",
" method='nelder-mead',\n",
" options={'disp': True})\n",
" label = f\"{entry['qubit'].row}, {entry['qubit'].col}\"\n",
" print(\"Qubit\", label)\n",
" print_result(opt_result.x)\n",
" opt_results.append(opt_result)\n",
" \n",
" data_expectations = entry['z_vals']\n",
" fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(11, 4))\n",
" ax1.plot(thetas, true_z_vals, label='True')\n",
" ax1.plot(thetas, data_expectations, 'o-', label=f'{label} Data')\n",
" ax1.plot(thetas, results[-1], '.-', label='Fit')\n",
" \n",
" ax2.plot([], []) # advance color cycle\n",
" ax2.plot(thetas, np.abs(true_z_vals - data_expectations), 'o-', label='|Data - True|')\n",
" ax2.plot(thetas, np.abs(true_z_vals - results[-1]), '-', label='|Fit - True|')\n",
" ax1.legend(loc='best')\n",
" ax2.legend(loc='best')\n",
" fig.tight_layout()\n",
" plt.show()"
]
}
],
"metadata": {
"colab": {
"name": "data_analysis.ipynb",
"toc_visible": true
},
"kernelspec": {
"display_name": "Python 3",
"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": "3.10.16"
}
},
"nbformat": 4,
"nbformat_minor": 0
}