{ "cells": [ { "cell_type": "markdown", "id": "06da1e50-ad7f-41cd-b53b-6335b62f6c3a", "metadata": {}, "source": [ "# Realistic Multiuser MIMO OFDM Simulations\n", "In this notebook, you will learn how to setup realistic simulations\n", "of multiuser MIMO uplink transmissions. Multiple user terminals (UTs)\n", "are randomly distributed in a cell sector and communicate with a multi-antenna\n", "base station.\n", "\n", "\n", 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)" ] }, { "cell_type": "markdown", "id": "91114f45-9448-4a5d-b47c-8a6e8e4936dc", "metadata": {}, "source": [ "The block-diagramm of the system model looks as follows:\n", "\n", "\n", "![System Model](data:image/png;base64,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)" ] }, { "cell_type": "markdown", "id": "1f6f1d65-8a8c-45ca-9e35-eb0e54983200", "metadata": {}, "source": [ "It includes the following components:\n", "\n", "- 5G LDPC FEC\n", "- QAM modulation\n", "- OFDM resource grid with configurable pilot pattern\n", "- Multiple single-antenna transmitters and a multi-antenna receiver\n", "- 3GPP 38.901 UMi, UMa, and RMa channel models and antenna patterns\n", "- LS Channel estimation with nearest-neighbor interpolation as well as perfect CSI\n", "- LMMSE MIMO equalization\n", "\n", "You will learn how to setup the topologies required to simulate such scenarios and investigate\n", "\n", "- the performance over different models, and\n", "- the impact of imperfect CSI.\n", "\n", "We will first walk through the configuration of all components of the system model, before simulating\n", "some simple uplink transmissions in the frequency domain. We will then simulate CDFs of the channel condition number\n", "and look into frequency-selectivity of the different channel models to understand the reasons for the observed performance differences.\n", "\n", "It is recommended that you familiarize yourself with the [API documentation](https://nvlabs.github.io/sionna/phy/api/channel/wireless/index.html) of the `Channel` module\n", "and, in particular, the 3GPP 38,901 models that require a substantial amount of configuration. The last set of simulations in this notebook take some time, especially when you have no GPU available. For this reason, we provide the simulation\n", "results directly in the cells generating the figures. Simply uncomment the corresponding lines to show this results." ] }, { "cell_type": "markdown", "id": "3001429c-d46a-47e4-8e5f-fa3afc402d73", "metadata": {}, "source": [ "## Table of Contents\n", "* [Configuration and Imports](#Configuration-and-Imports)\n", "* [System Setup](#System-Setup)\n", "* [Uplink Transmissions in the Frequency Domain](#Uplink-Transmissions-in-the-Frequency-Domain)\n", " * [Compare Estimated and Actual Frequency Responses](#Compare-Estimated-and-Actual-Frequency-Responses)\n", " * [Understand the Difference Between the Channel Models](#Understand-the-Difference-Between-the-Channel-Models)\n", " * [Setup a Sionna Block for BER simulations](#Setup-a-Sionna-Block-for-BER-simulations)" ] }, { "cell_type": "markdown", "id": "fa4f4cfb-4a31-4a69-aaed-93d21fbb5d21", "metadata": { "tags": [] }, "source": [ "## Configuration and Imports" ] }, { "cell_type": "code", "execution_count": 1, "id": "ffb6a229", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T21:22:43.173257Z", "iopub.status.busy": "2026-08-06T21:22:43.173140Z", "iopub.status.idle": "2026-08-06T21:22:46.372609Z", "shell.execute_reply": "2026-08-06T21:22:46.371664Z" } }, "outputs": [], "source": [ "# Import Sionna\n", "try:\n", " import sionna.phy\n", "except ImportError as e:\n", " import os\n", " import sys\n", " if 'google.colab' in sys.modules:\n", " # Install Sionna in Google Colab\n", " print(\"Installing Sionna and restarting the runtime. Please run the cell again.\")\n", " os.system(\"pip install sionna\")\n", " os.kill(os.getpid(), 5)\n", " else:\n", " raise e\n", "\n", "# Set random seed for reproducibility\n", "sionna.phy.config.seed = 20\n" ] }, { "cell_type": "code", "execution_count": 2, "id": "9d3ff139", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T21:22:46.374882Z", "iopub.status.busy": "2026-08-06T21:22:46.374579Z", "iopub.status.idle": "2026-08-06T21:22:46.384075Z", "shell.execute_reply": "2026-08-06T21:22:46.383360Z" } }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import torch\n", "import time\n", "import warnings\n", "\n", "warnings.filterwarnings(\n", " \"ignore\",\n", " message=\"Torchinductor does not support code generation for complex operators.*\",\n", ")\n", "\n", "from sionna.phy import Block\n", "from sionna.phy.mimo import StreamManagement\n", "from sionna.phy.ofdm import ResourceGrid, ResourceGridMapper, \\\n", " LSChannelEstimator, LMMSEEqualizer, \\\n", " RemoveNulledSubcarriers\n", "from sionna.phy.channel.tr38901 import Antenna, AntennaArray, UMi, UMa, RMa\n", "from sionna.phy.channel import gen_single_sector_topology as gen_topology\n", "from sionna.phy.channel import subcarrier_frequencies, cir_to_ofdm_channel, \\\n", " ApplyOFDMChannel, OFDMChannel\n", "from sionna.phy.fec.ldpc import LDPC5GEncoder, LDPC5GDecoder\n", "from sionna.phy.mapping import Mapper, Demapper, BinarySource, QAMSource\n", "from sionna.phy.utils import ebnodb2no, sim_ber, compute_ber" ] }, { "cell_type": "markdown", "id": "15e1b3bb-5c41-4269-9bc8-1b4d7e48124c", "metadata": { "tags": [] }, "source": [ "## System Setup\n", "\n", "We will now configure all components of the system model step-by-step." ] }, { "cell_type": "code", "execution_count": 3, "id": "5182bedb-6726-4089-9e0e-9077056f3086", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T21:22:46.385946Z", "iopub.status.busy": "2026-08-06T21:22:46.385808Z", "iopub.status.idle": "2026-08-06T21:22:46.388482Z", "shell.execute_reply": "2026-08-06T21:22:46.387755Z" } }, "outputs": [], "source": [ "scenario = \"umi\"\n", "carrier_frequency = 3.5e9\n", "direction = \"uplink\"\n", "num_ut = 4 \n", "batch_size = 32" ] }, { "cell_type": "code", "execution_count": 4, "id": "a20a279c-374a-48f6-8d31-3972a46d1dfa", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T21:22:46.390209Z", "iopub.status.busy": "2026-08-06T21:22:46.390089Z", "iopub.status.idle": "2026-08-06T21:22:47.162532Z", "shell.execute_reply": "2026-08-06T21:22:47.161726Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Define the UT antenna array\n", "ut_array = Antenna(polarization=\"single\",\n", " polarization_type=\"V\",\n", " antenna_pattern=\"omni\",\n", " carrier_frequency=carrier_frequency)\n", "\n", "# Define the BS antenna array\n", "bs_array = AntennaArray(num_rows=1,\n", " num_cols=4,\n", " polarization=\"dual\",\n", " polarization_type=\"VH\",\n", " antenna_pattern=\"38.901\",\n", " carrier_frequency=carrier_frequency)\n", "\n", "# Create channel model\n", "channel_model = UMi(carrier_frequency=carrier_frequency,\n", " o2i_model=\"low\",\n", " ut_array=ut_array,\n", " bs_array=bs_array,\n", " direction=direction,\n", " enable_pathloss=False,\n", " enable_shadow_fading=False)\n", "\n", "# Generate the topology\n", "topology = gen_topology(batch_size, num_ut, scenario)\n", "\n", "# Set the topology\n", "channel_model.set_topology(*topology)\n", "\n", "# Visualize the topology\n", "channel_model.show_topology()" ] }, { "cell_type": "code", "execution_count": 5, "id": "88fdc090-fe1f-43c6-86b3-1698ec1d0bad", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T21:22:47.164825Z", "iopub.status.busy": "2026-08-06T21:22:47.164676Z", "iopub.status.idle": "2026-08-06T21:22:47.167766Z", "shell.execute_reply": "2026-08-06T21:22:47.167144Z" } }, "outputs": [], "source": [ "# The number of transmitted streams is equal to the number of UT antennas\n", "num_streams_per_tx = 1\n", "\n", "# Create an RX-TX association matrix\n", "# rx_tx_association[i,j]=1 means that receiver i gets at least one stream\n", "# from transmitter j. Depending on the transmission direction (uplink or downlink),\n", "# the role of UT and BS can change. However, as we have only a single\n", "# transmitter and receiver, this does not matter:\n", "rx_tx_association = np.zeros([1, num_ut])\n", "rx_tx_association[0, :] = 1\n", "\n", "# Instantiate a StreamManagement object\n", "# This determines which data streams are determined for which receiver.\n", "# In this simple setup, this is fairly simple. However, it can get complicated\n", "# for simulations with many transmitters and receivers.\n", "sm = StreamManagement(rx_tx_association, num_streams_per_tx)" ] }, { "cell_type": "code", "execution_count": 6, "id": "d90fcba6-b37c-4d46-850a-1662eae3832e", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T21:22:47.169695Z", "iopub.status.busy": "2026-08-06T21:22:47.169573Z", "iopub.status.idle": "2026-08-06T21:22:47.398160Z", "shell.execute_reply": "2026-08-06T21:22:47.397255Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rg = ResourceGrid(num_ofdm_symbols=14,\n", " fft_size=128,\n", " subcarrier_spacing=30e3,\n", " num_tx=num_ut,\n", " num_streams_per_tx=num_streams_per_tx,\n", " cyclic_prefix_length=20,\n", " pilot_pattern=\"kronecker\",\n", " pilot_ofdm_symbol_indices=[2,11])\n", "rg.show();" ] }, { "cell_type": "code", "execution_count": 7, "id": "cdc0fa83-8e2b-495f-a5b8-5e8cb4267964", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T21:22:47.400054Z", "iopub.status.busy": "2026-08-06T21:22:47.399901Z", "iopub.status.idle": "2026-08-06T21:22:47.612616Z", "shell.execute_reply": "2026-08-06T21:22:47.611814Z" } }, "outputs": [], "source": [ "num_bits_per_symbol = 2 # QPSK modulation\n", "coderate = 0.5 # The code rate\n", "n = int(rg.num_data_symbols*num_bits_per_symbol) # Number of coded bits\n", "k = int(n*coderate) # Number of information bits\n", "\n", "# The binary source will create batches of information bits\n", "binary_source = BinarySource()\n", "qam_source = QAMSource(num_bits_per_symbol)\n", "\n", "# The encoder maps information bits to coded bits\n", "encoder = LDPC5GEncoder(k, n)\n", "\n", "# The mapper maps blocks of information bits to constellation symbols\n", "mapper = Mapper(\"qam\", num_bits_per_symbol)\n", "\n", "# The resource grid mapper maps symbols onto an OFDM resource grid\n", "rg_mapper = ResourceGridMapper(rg)\n", "\n", "# This function removes nulled subcarriers from any tensor having the shape of a resource grid\n", "remove_nulled_scs = RemoveNulledSubcarriers(rg)\n", "\n", "# The LS channel estimator will provide channel estimates and error variances\n", "ls_est = LSChannelEstimator(rg, interpolation_type=\"nn\")\n", "\n", "# The LMMSE equalizer will provide soft symbols together with noise variance estimates\n", "lmmse_equ = LMMSEEqualizer(rg, sm)\n", "\n", "# The demapper produces LLR for all coded bits\n", "demapper = Demapper(\"app\", \"qam\", num_bits_per_symbol)\n", "\n", "# The decoder provides hard-decisions on the information bits\n", "decoder = LDPC5GDecoder(encoder, hard_out=True)\n", "\n", "# OFDM CHannel\n", "ofdm_channel = OFDMChannel(channel_model, rg, add_awgn=True, normalize_channel=False, return_channel=True)\n", "channel_freq = ApplyOFDMChannel(add_awgn=True)\n", "frequencies = subcarrier_frequencies(rg.fft_size, rg.subcarrier_spacing)" ] }, { "cell_type": "markdown", "id": "8fb5aeee-618a-4ea8-95fe-536575ddc762", "metadata": {}, "source": [ "## Uplink Transmissions in the Frequency Domain\n", "\n", "We now simulate a batch of uplink transmissions. We keep references to the estimated and actual channel frequency responses." ] }, { "cell_type": "code", "execution_count": 8, "id": "9ac4a821-136b-4e1a-9e2d-094c36c8a564", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T21:22:47.614299Z", "iopub.status.busy": "2026-08-06T21:22:47.614156Z", "iopub.status.idle": "2026-08-06T21:22:47.727737Z", "shell.execute_reply": "2026-08-06T21:22:47.726935Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "BER: 0.0\n" ] } ], "source": [ "ebno_db = 10\n", "no = ebnodb2no(ebno_db, num_bits_per_symbol, coderate, rg)\n", "b = binary_source([batch_size, num_ut, rg.num_streams_per_tx, encoder.k])\n", "c = encoder(b)\n", "x = mapper(c)\n", "x_rg = rg_mapper(x)\n", "\n", "a, tau = channel_model(num_time_samples=rg.num_ofdm_symbols, sampling_frequency=1/rg.ofdm_symbol_duration)\n", "h_freq = cir_to_ofdm_channel(frequencies, a, tau, normalize=True)\n", "\n", "y = channel_freq(x_rg, h_freq, no)\n", "h_hat, err_var = ls_est (y, no)\n", "x_hat, no_eff = lmmse_equ(y, h_hat, err_var, no)\n", "llr = demapper(x_hat, no_eff)\n", "b_hat = decoder(llr)\n", "print(\"BER: {}\".format(compute_ber(b, b_hat).cpu().numpy()))" ] }, { "cell_type": "markdown", "id": "1c7cca1c-8228-4668-a330-f0b853693cc2", "metadata": {}, "source": [ "### Compare Estimated and Actual Frequency Responses\n", "We can now compare the estimated frequency responses and ground truth:" ] }, { "cell_type": "code", "execution_count": 9, "id": "d8a5a83e-f1ee-4e74-827f-f4b339ecc05b", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T21:22:47.729606Z", "iopub.status.busy": "2026-08-06T21:22:47.729466Z", "iopub.status.idle": "2026-08-06T21:22:47.894378Z", "shell.execute_reply": "2026-08-06T21:22:47.893672Z" } }, "outputs": [ { "data": { "image/png": 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7M3v27GKtKy8BAQEAdO3alQEDBuRZLvNvFRoaSq1atXTHJUkiLCwsxwexp6dnri1rYWFhejO0DK2/MDKvGRISQsOGDfMt+8YbbzBhwgROnz7NokWL8PPzo0WLFs9U97lz5/jf//6Xo9Uou4oVKzJlyhSmTJmCSqVi/PjxfPPNNwwePFiv5Sa31sHLly/j7OyMs7MzoP37rFmzhuTkZL1ZiHfu3CE+Pt7o/9MFxVgcj1d4SqxALeRpwoQJBAUFMX78eM6fP5/j/uPHj+slHUOHDmXnzp0cO3ZMdywxMZFZs2ZRuXLlZ3rjy8uvv/6q9634559/Ji4uTm86ccWKFXPE/+233xa6tSSrpKQkXaKRyc3NDX9/f1JTU3XHSuo5KY56xo0bx4EDB9i4caPe8ZiYGB48eFDo6xXH36EwJkyYwNatW9m1a1eO+65du0ZMTEyx1t+yZUtq1arF559/nmN1a0mSdN1PrVu3xsvLi9mzZ+u1HqxcuZLY2Ngc123YsCG7d+8mMTFRd+yPP/4gLi7OqPoL+5gCAwP55ptviI6O1rsv+/+PYcOGYWtry8CBA7lz547BrUJ5GTduHCqVik8++STHffHx8YSHhwNw8uRJXXcggFKp1HXrZf2/CrBu3Tq9lrOLFy/y77//MmTIEN3yD8OGDSMtLY3vv/9e79yZM2eiUCgYMmRIoR+LITEWx+MVnhItQ0KeLC0t2bFjB6+//jpBQUF069aNevXq6Vag3rZtm14yNGPGDM6cOUPbtm0ZPnw4Tk5OrF27lsePH7N582aDu1wK4+WXX6ZNmza0adOGK1eu8McffzB58mQ6duyoKzNz5kyGDBlCt27daNSoESdOnMDR0ZFWrVoZPU4kPT2d/v374+bmRlBQEC4uLpw6dYp///2XBQsW6MqV1HNSHPW89957XL16lZ49e9KnTx9q1arF7du32bNnD+vWrcPd3b1Q1yuOv0NhvPfee9y5c4eOHTvSs2dPateuTUJCAufOnePmzZvs2rULJyenYqtfoVCwYcMGevToQdWqVenXrx9eXl5ERESwf/9+mjRpQv369VEqlfzxxx907dqVJk2a0LVrV27fvk1iYiLt2rXj7Nmzetf98MMPWbduHc2aNaNXr15cv34dS0tLWrZsqfe8Glp/YcjlctatW0eXLl0IDAykX79+uLq6cvLkSVJSUti+fbuurJ2dHUOGDGHBggUoFAqGDRv2TM9n/fr1+f333xk9ejR79+6lTZs2WFhYEBYWxsGDB/nxxx+pVq0a8+fP5/jx47Rs2RIfHx/u3LnDb7/9xoABA3I83tGjR/PKK6/QqlUr0tLSWLZsGS+99BIzZ87UlWnXrh3Tp0/nk08+ISQkhDp16nDw4EF2797Njz/+qNeaZyhDYiyOxys8JVqGhHxlfqheuHCBtm3bkpiYSEZGBr179+by5cts2LBBV9ba2pqdO3fy999/4+Ligkql4t133+XKlSsEBQXpyjVs2JBJkyblaOoNDg5m0qRJWFhY6B0PCgrKMZ4hU69evZg7dy6SJFGpUiX27t3LrFmz9MoMHDiQ06dP06RJE1JSUhg9ejRLly6lW7duem/IecUFObfjcHR05Pz583z88ce4uroSFxdH69atuXnzpt433md9Try8vJg0aRKVK1fO+cfJwtB6XF1dmTRpEjVq1Mj3eqD98FyyZAknT56kXr16JCYm0qBBA44dO6YbwFyYuJ/175DbNQtTVi6X89NPP3H+/HmaNGlCfHw8rq6uvP3221y8eFE3wNTQrVfyei7zex35+vpy5swZfv/9d1xdXYmNjaVOnTr8888/LFy4UFcuM5EZMGAAaWlpvPzyy6xcuTLXOKpVq8b58+cZOHAgKSkp9OrViwULFuR4XgtT/7Bhw3IdkN+2bVveeOMNvWN+fn5cuHCB+fPn4+DggEajYcyYMWzbti3H+YMGDQKgc+fOORYKzEtesYD2NXXr1i1Gjx6tayHu1q0bFy9e1J2zZMkS/vnnH2rWrElMTAwVK1Zkz549uT6flSpVYuPGjbi5uWFubs68efM4dOgQdnZ2euVmzJjBuXPnaNCgAQkJCbz88suEhYXpTTgoX748kyZNyrXbbPz48bRu3Vp329AYi/rxCk/JpKztaYJQRnz++edMnz6dhISEPFfEFYTnTZ8+fTh79myug2jLgu+//54pU6awfv16unfvbupwdE6ePElwcDBr1qyhT58+pg5HMAHRMiQIgiCUiBUrVuDj45Pr9j6CYEpizJAgCIJQbNLT0/npp584fvw4Z8+eZfXq1cUyflAQnoV4RQplUn7jMgThedW1a9ciXw+puEmSxM2bN/H19WXPnj05NpQtDfIb3yO8GMSYIUEQBEEQXmhizJAgCIIgCC80kQwJgiAIgvBCE2OGDKDRaLh37x52dna6VUgFQRAEQSjdJEkiISEBT0/PfPfYFMmQAe7du4e3t7epwxAEQRAEwQi3b9+mQoUKed4vkiEDZK4+evv2bezt7U0cjSAIgiAIhoiPj8fb2zvHKuLZiWTIAJldY/b29iIZEgRBEIQypqAhLmIAtSAIgiAILzSRDAmCIAiC8EITyZAgCIIgCC80MWZIEAyk0WhQqVSmDkMQBAOZm5ujUChMHYZQBohkSBAMoFKpuHHjBhqNxtShCIJQCI6Ojri7u4s14oR8iWRIEAogSRL3799HoVDg7e2d78JdgiCUDpIkkZycTGRkJAAeHh4mjkgozUQyJAgFyMjIIDk5GU9PT6ytrU0djiAIBrKysgIgMjISNzc30WUm5El8xRWEAqjVagCUSqWJIxEEobAyv8Ckp6ebOBKhNBPJkCAYSIw5EISyR/y/FQwhkiFBeIGtXLmSn3/+ucivu3TpUhYvXlxguQ8//JArV64Uef25mThxIqdOnSqRugyhVquZOHEiDx8+NHUogvDCE8mQIDyn/vrrL2bMmJFvmcOHD7Nz584ir3vfvn3s2bMn3zKrV69my5Yt+Pn5FXn9ufn999+5ceNGidSVmzfffJOzZ8/qbisUCiwsLPjwww9NFpMgCFoiGRKE59SRI0f4559/TB1Gnj777DMmT578wnRjLFu2jJs3b+odmzBhAsuXLyciIsI0QQmCAIjZZILwQjl9+jQrV67E0tKSdu3a5VomMjKS3377jVu3blGxYkUGDRqEp6en7v5//vmHzZs3A+Dk5ET9+vXp169foZKagwcPcvXqVfr06aM79vPPP2Nra4uPjw8bN27E3t6ejz/+GICTJ0+ybt06kpOTqV27NoMHD8bc3Fx37vTp07l//z5yuRxPT0+6dOlCcHBwoZ6bMWPGMG7cOM6ePUtISAguLi6MHj0aV1fXQtUzZswYxo8fz8mTJzl9+jQdOnTg8OHDpKWl8dNPP7Fp0yYcHBz4/vvv8fHxoUGDBixZsoRPP/20UPEKQn40qamkXrqMdb2XdMcSdu5Ek5aWa3llxUpYBdYsqfBKHdEyJAgviN27d9OoUSNiYmJwcHBgwoQJOVqOzp07R61atbhw4QL+/v6EhYURGBjI+fPndWW8vb1p1KgRjRo1wsXFhenTpzNgwIBCxbJjxw7q1q2LjY2N7tjOnTuZOnUqb7/9Nh4eHtSqVQuAH3/8kc6dOyNJEhUrVmTJkiU0a9ZMb3ZQnTp1aNSoEfXr1ycxMZG2bduycuXKQsW0ePFiOnXqxPr16/Hy8mLLli0EBwcTGxtbqHoyr7Njxw5q1qxJhQoVeOmll1AoFPj7+9OoUSOCgoJ05Zs3b8727dsLFasgFCT655+J/PZbpCwLxT74bAb33pmS68/N/v1R3bplwohNS7QMCUIhSZJESrraJHVbmSuM7laaMmUKY8aMYd68eQCMHDmSSpUq6ZUZM2YMY8eO5bPPPntap5UVH374If/++y8AwcHBeq0hw4cPp0KFCly6dImAgACDYgkNDcXX1zfHcUmS2L9/v2469J07d3j77bc5duwYL72k/YY7btw4AgIC+P333xk1ahSAXgsTQPXq1fn0008ZOHCgQfFkqlOnDuvWrQO0A65r1KjBrFmzdM+HofW0a9eO3377TXe7Xr16jBo1inbt2tGjRw+9spUrVy6WQezCiy35+AnSwsJI3LMHu7ZtAbAKCkKdJbnPpLp2DffPPsXsBV6YUiRDglBIKelqAj7eZpK6L814GWtl4f/bJiQkcObMGWbPnq075uLiotdV9ujRI44ePUr58uUZO3YskiQhSRLh4eFcu3ZN73pbt27l4MGDREZGotFoUCqVXL582eBkKCEhQa/rLVPLli31Frbctm0bcrmcX375BUmSAG3CpFar9QYjJyUlsWrVKi5fvkx8fDyRkZFcu3aN9PR0ve60gvTt21f3u7m5OT179mTfvn2FrqdTp04G12lra0t8fLzB5QWhIJJaTerly0gpKSgrVtQdrzB7lgmjKt1EMiQIL4DMLQlcXFz0jpcrV46YmBgAoqOjAahduzY+Pj66Mg0aNMDCwkJ3e9y4cWzcuJGhQ4dSt25dlEola9euJSEhweB4XFxcdPVm5ejoqHc7OjoaGxsb6tevr3e8QYMGVKtWDdAmVvXr16dcuXJ069YNf39/bt26xcaNG0lKSspxzYLiyqpcuXK6564w9RSmztjY2Bz1CsKzUN24gZSSgszaGmUuLbBCTiIZEoRCsjJXcGnGyyar2xheXl7IZDJu375NzZpPB0neunULe3t7ANzd3ZHL5VSrVo3Bgwfneh2VSsWvv/7Kli1baPuk6T0tLY2xY8cWKp46deoYtA6Rl5cXsbGx9O3bFwcHh1zL7Nq1i6ioKC5evIiZmfYtbe3atYWKJ9Pt27f1bt+6dQtvb+8iqSev7s2LFy9Sr149o+IVhNykXrwIgGWNGsgM3IIk7cYN4tatx9zTE6dX+xdneKWSGEAtCIUkk8mwVpqZ5MfY8UKWlpZ07tyZH3/8Ube9yLlz59i9e7eujIODA926deOrr77i0aNHuuNxcXE5BvhmbQX63//+p7umoTp37kxYWBj379/Pt1yXLl2wt7fngw8+QJNlIOilS5e4+OQNX5Ik3f5xAKmpqXrdgYWxaNEi3XXu37/PX3/9Rc+ePYukHmdnZx4/fpzj+N69e+nSpYtR8QpCblIuPEmGahrWbQ2QcuYsjxYuJOaPP4orrFJNtAwJwgvi+++/p2XLltSrV4+qVaty/Phx3YytTIsWLaJnz55Ur16dli1bkpiYSHh4uG7xRqVSyTvvvMOQIUPo3Lkz9+7dIzIyMs9Wm7wEBATQqlUrli9fztSpU/Ms5+TkxLp16+jfvz/79u2jTp063Lx5k+TkZP78809AOz7Hz8+PevXq0aBBA44dO0a5cuUK+exoOTo6Urt2berVq8f+/fupU6eObpD2s9bTo0cPPvroI/bv34+Liwvff/89Z8+e5ebNmwwdOtSoeAUhN5ktQ1Y1DZ8qb9e2DffNzUm7coW0q1exKKHFUEsLmZQ5KlHIU3x8PA4ODsTFxem6FIQXR2pqKjdu3MDX1xdLS0tTh2Owo0ePcv/+fV3LBjxt5bG0tKRhw4Zcu3aN5ORkXZdXphMnThAaGkr58uVp2LBhjmTn5MmTXL58GTc3N1q1asU///xD/fr1qVq1KgD79+9Ho9HQqlWrfOPr06cPV65cwcrKil27dmFpaUnTpk1zlE1JSWH//v1ERUVRtWpVgoODkcufNmynp6ezc+dOoqOjCQgIoGLFiqxfv56hQ4fqNthdvnw5zZs3zzGDLpOZmRmbNm2iUqVKhISE4OzsTNu2bQtdz5IlS+jQoQMVKlTIUceBAwe4ceMGZmZmDBw4kFdffZWaNWsyffr0PJ8n4dmU1f+/xpIkiRu9e5N26TKVN/1bqKTm9pixJO7bR7k338T1zfHFGGXJMfTzWyRDBhDJ0IvtRXszLUnr16+nXr16egO2TSUzGerYsWOJ1KdWq/ntt98YOHCgeF0Voxf1/686Ph65rS0yueGjYWLXr+f++x+g9KtClU2bijG6kmPo57foJhMEwWSyr7nzIlEoFIwcOdLUYQjPKYURX9zt2rThgbk5qqvXSLtyBYsnLb0vApEMCYIgAAsXLiQwMNDUYQiCySjs7bFp1ozEPXuI37oN1yfJUPy27TxetizXc8zKueAxcyaKQiwnURqJZEgQBAFEK43wXIgYPRopJRW3998r1ADqTA7du5O4Zw/WDRvojmVER5Fy5kye59i1a4dD9+5GxVtaiGRIEARBEIqZKiKClJAQLPz9sXyyYKg6NpbEAwdylJWZmWHbogXyLHv3GUJSq0k+cRIpJQW5keOj7F7uQMXlv6PMMvDatkULzH+cl6Ns6qXLWNWtg+Vz0KIqkiFBEARBKEaSJHFr0GAyoqJwnTxZlwyl37/PvXdzX1pC6VcF39WrkWfZnqYgquvXn648ncesyYLIZDKss+w9CKD09kb5ZPHRrOyybOdT1olkSBAEQRCKkSYpiYyoKADMvbx0x+XW1tg0aZyjfOqly6iuXiN+23Yce/YwuB7dYosBhq88XSrcPg5mFuBRx2QhiGRIEARBEIqR+sk+fDJLSxy6ddUdV1asiM+SJTnKJx0/TsbDhzh061aoeoxZbPFZpFy8SMqp0yh9fbFt3sy4iyQ8gL8GQ2ocDFoLvs2LNkgDiWRIEARBEIpRZjKkcHIyqLxNgwYFF8qFbk+yEkqGkg4fJur7H3Do0cO4ZEidDmtGQOJDcAsAL9Pt0SeSIUF4gZ09e5bU1FQaNWpUpNc9efIkkiQRnG3sQXZ79uzB398fT09Pg88pKaUtntLgwIED+Pj4ULFiRVOHUqY8TYYcC31uxqNH3Ht3Kmau5YCcexOWm/AmygoVkDIySA0NBSixAc2ZA7w1SUnGXWDHxxBxGCzsod9yUBZuwHhREsmQIDynQkJCiIqKol0+gxx//fVXHjx4YPQu73n58ccfycjIYMWKFfnGN2jQIMLDww0+pySVtnhK2okTJ5DJZNSvX1937MqVK3z44YccyGUGlJC3jCfJkJmjYS1DmSRJ4vbYN0g9fz7PMk6DB8OTrV/KjRnD42XLjB48XViKZ0mGzq+Fo/O1v/f8GcqZdi80kQwJwnNq6dKl7N27l7Nnz5o6lFx98MEHvPnmm9ja2gIQHByMWq02cVRPlbZ4StqcOXMwMzNjWZbF9oYNG8bHH3/Mf//9R5cuXUwXXBkjqVTIra1RODsX6jyZTEaFH+eRsHUrUkbur0Vz9/LasmZm2DRpjE2zZoXaguNZGN0y9PAibJyg/b35O1Dd9K8lkQwJwgskNTWVgwcPYmlpSZ06ec/cOH/+PLdu3aJixYoEBgYikz1tnr9w4QKhT5rjnZycqFWrFm5uboWK49q1a2zbto1FixbpjjVs2JCsWyUePXoUCwsLqlWrRkhICImJiTRv3hwrKysSEhI4cuQI1tbWNGzYEHNz80LHl5KSwqFDh3TPxbVr1/S6DPOKx9/fn5CQEFJTUwkODtYlc4bWnXkdPz8/jh07hkwmw9vbm2vXrtGpUye9smFhYVy/fj3H8azXqVq1KiEhIaSkpNCsWTO9/beMjadcuXJERESgUCh0rYZt2rTB2dmZgQMH8tNPP4lkqBCc+vXDqV8/JCOSa/Py5XEeNsygsla1axf6+s9ClwwlFyIZir0NK/pAejJUbgWtpxVPcIUkkiGhSD1IekDY4zBaercEIDUjlfkh8/MsX9OlJi9Xermkwnuh3bp1izZt2iBJEr6+vly9ehUPDw+93dVjY2Pp27cvoaGh1K5dm0uXLuHj48P69etxejL4MyQkhHXr1gEQHR3NiRMn+O6773jjjTcMjmXTpk1UrVoVryzTjLN3S3333XfcuHGD6OhoqlevTlhYGJIk8cUXX/DRRx/h7+/PpUuXqFChAgcOHMDMzMzg+K5du0abNm1QKBRUrlyZq1ev4u7uToUKFXQf/rnFc+fOHWJiYqhYsSK3b98mMTGRgwcP6sbQGFL3d999x+3bt3n06BG+vr7UrVuXgQMH0qVLF65evUrlypV1ZSdMmECFChVyTYYyr/Pw4UOqVKnCjRs3kCSJ3bt34+vr+0zx1KxZk1u3biGTyfjzzz8BqFOnDs7OzrRp04Y5c+aQnJyMdSHWwBEoW9PdDZCZDKkNbRlKfgwrekHCPXCtDn2Wgrx0PCciGRKK1I9nfkQhVxBUPghbpS3pmnSWXliaZ3kZMoLKB1HOqlwJRvmMJEn7rcYUzK1BlnMQpSGmTJlCpUqV2LJlC0qlkiNHjtCsWTO9ZGjChAnY2dlx/fp1zM3NSU9Pp2vXrkybNo3587VJ7aBBgxg0aJDunAMHDtC+fXt69OiBh4eHQbGcOnWKmgbMeLly5QohISH4+vqSlJSEr68vEydOJCQkBG9vb2JjY6lYsSLr16+nT58+Bsc3ZcoU/Pz8dM/F8ePHady4sd5zkZtLly5x+vRp/Pz8UKvVNG7cmFmzZjF79uxCPTchISGcPn2agIAA3bGXXnqJZcuWMWPGDABu377Nrl272LdvX57xnDhxgkOHDtG4cWNUKhWdOnXinXfe4Z9//nnmeHbu3JmjmwygVq1aqFQqzp07V+QD74Wy5Wk3mQHvh6ok+KMvRIeDfQUY/A9YF67bsDiJZKiMOR91nhHbRuR5/+jaoxlde3QJRqQv9HEo95Lu0dq7Na28W2EuN2dYQN5NvGPqjMHW3DbP+0ul9GT40tM0dX94z6gZFyqVin/++YcNGzagVCoBaNy4MS1bttSVSU5O5q+//uLDDz/kv//+Q5IkJEmicuXK7Nq1S+968fHxnDt3jsjISDQaDebm5pw9e9bgZCg6Otqgsh07dtS1ctjY2FCnTh08PDzwfrIarqOjIwEBAbquIEPiU6lUbNy4Ue+5aNCgAa1atTIoHr8n2xQoFApatmzJ+WyDWw15btq3b6+XeAC8/vrrfPnll3z66afI5XKWLVuGn58fzZrlPWW5RYsWNG6sXbRPqVTyzjvv0LVrV1JTU3XdZcbGkxfnJ+Neop4sIigU7P7Hn5D+8AGu48eXeFdWcTL38KDCzwtQ2NnlXzA9FVYPhbsnwcoJhvwDDl75n1PCRDJUxkhIpKnT8rxfrTHdgM8MTQbX466TrkmnqpN2t2NLM0umBE8xWUyC1p07d9BoNLrEIlPlypWJjY3VlUlPT+fw4cNcuHBBr1zWFoBVq1YxduxYqlSpQoUKFVAqlajVaiIjIw2Ox9bWluTkgr9NOmcbcGphYZHrsdTUVIPjy+u58PX11T0XhYmnMHVn8vTMmUwPHDiQd955h507d9K+fXuWLVvG6NH5f7HJ7e8pSRK3b9+matWqzxRPXpKedIlkHSsl5C/55ElU16/jMuL52gxYbm2NXUFfIlLj4c+BcPMAmFnBwNXg6l8i8RWGSIbKgPNR59lwbQP+zv50r9Kd7b2351nWVmm6N6iI+AjSNelYm1njYWNYC0GZZG6tbaExVd1GcHFxAcjxYZ/1tt2Tb3eTJ0+mc+fOuV5HkiTeeOMNvv/+e1577TXdMRsbG73BxgWpWrUqu3fvLsQjMIwh8WUmNPk9F8VVdyZZLl2d9vb29O3blyVLlmBubs6tW7cYOnRovnXm9RicnZ2fOZ683Lx5E4BqT/bXEgqmW2fIuXBT68u8pGhY0RvunwWlHQz8E7yNW1CyuJXM/DvhmVyJvcJfYX+x9/ZelAolHrYeef7cS7zHN8e/YdmFZSaJE8DP0Q+5rOCX1tabW/n08KfsidhT3KEVLZlM21Vlih8jxws5ODgQEBDAhg0bdMfi4+P1ur88PDyoVasWCxcuzHH+/fv3AW1XWlxcnN54n61bt5KSklKoeNq2bcvp06cLfV5BDInP0dGR6tWr8++//+qOJSUlsWfPs70Oi+K5ef3111m/fj3ff/89nTp1KrArcc+ePcTHx+tur1u3Dn9/f1xcXJ45HltbW9LScrZCHzp0iBo1augNfhfyJqnVqOPiADAzcAXqsiTu3008Xr5C9xh1YiNgSUdtImRdDoZvgkpGbtlRAkTLUBmQoEoAwE5ZQL8scD/pPisuryDQJZDhgcOLOTJ9V2OvAuDnZNjiWSGRIfx95W8cLBxo7dO6OEMTgK+//ppevXqh0WioXr06CxcuRJ5tPZKFCxfy8ssv07lzZ3r16kViYiLbt28nMDCQ//3vf9jY2NCmTRvGjRvHxIkTuXfvHnPmzMHCwqJQsbRu3RofHx/WrVvHwIEDi+wxGhrfV199Rd++fVGr1fj7+7N48WKgcC0kxtadn6ZNm1K5cmX+++8/3SDo/CgUCtq1a8frr79OeHg4s2fPZs2aNUUST1BQENOmTWPx4sU4ODjoptb/9ddfjBo1yuDH9KJTx8eDRgOAwtHRtMEUg4fffIM6Ohrr4PooHBy0B8O2wLqxkBoLDt4wZB2Uq2rSOAsikqEyIF6l/eZnZ15wMuRkqf3m8Tj1cbHGlJurMU+SIUfDkqHMWGNSY4otphdZ3bp19dbf6datG9u3b2fFihWcOXOGadOmER0drdfV0qhRIy5evMjSpUvZs2cP5cuXZ/LkyXTo0EFXZt26dcybN4+dO3fi5ubGjh07mD9/PpWyrHpb0IKFMpmMadOmMXfuXF0ylP2cxo0b67ruMjVr1gx3d3e9Yy1btqRGjRqFiq9Hjx5s3bqVlStXcubMGd5//33++usvvUTBkHgCAwNRZJkubUjduV0nq549e/Lo0SO6du2aZ5lMffv2pXPnzmzfvp2UlBS2bt1K27ZtiySeESNGkJ6ezoEDB0hMTKROnTrcuHGD69ev8/rrrxcYm6CV2UUmt7NDluX/4/NCbmONOvrJwovqdNj5KRz5UXunZz3ovxwc8p+lWSpIQoHi4uIkQIqLizNJ/V8c/UIKXBYozTk1p8CyEXERUuCyQCl4RXAJRKZv8u7JUtDyIOnw3cMGlV8dtloKXBYojd85vpgjezYpKSnSpUuXpJSUFFOH8lzRaDTSG2+8IYWFhZV43fHx8ZJardbdTk5Olry8vKS5c+eWeCzZBQUFSVOnTi2wXO/evaUxY8aUQERPzZ07V/rnn39KtM5nZer/v0knT0qX/KtLV9p3MEn9xe1az57SJf/qUsK6pZK0sLUkfWKv/dnyviSlp5k6PIM/v0XLUBmQ2U1mr7QvsKyzlXZwaEpGCikZKViZWRVrbFnNaj0LtUaNhGEDaZ0ttbGKlqEXk0wm061dVNJu3LjBm2++Sb9+/VAoFCxduhRra+sCBywXpx07drBjxw7CwsL0xnaVJhMmTDB1CGWOJjlFuxWHEZu0lgUKS+3yFJqN74NPClg6QPf5UKPgls3SRCRDZUBhxgxZm1mjlCtRaVTEpMZgZVtyyRCAohCriWYmQ6bo0hNebLVr1+bbb79l9erVxMbGMmDAAEaPHo2Njel2zd6yZQuPHz9m69atBg1OLqi7TSgdbJs3w//0KaSMDFOHUrQSI+HUMuSRpwAzNOkyCOwD7WeUujWEDCGSoTKgMMmQTCbDydKJh8kPiUmNwdPWRIsDGsDJwnTjmwShYcOGNGzY0NRh6Pzwww+FKv/OO+8UUyRCcZCZPQcftxoN3D0FJxbBxXWgViGXOwJmaOqNhT6fmDpCoz0Hf53n39w2c4lPi9cNOC6Is6UzD5Mf8ij1UTFH9tTc03PZd2cfQwOG0t2vu0HnZHbpJWckk6ZOw0JRuBlJgiAIQjGSJEh8CBFH4coOuLpDezuTV33kVT0g4hRqC1fTxVkERDJUBjhYOOBg4WBw+R9a/YCFwsLg5KkoXHp8ifCY8HxXx87OztyOzb0242zpjFKuLMboBEEQTCNq/nxSQkJwevVV7FoXcgmR5MdwPwSir0D8XUi4D/H3IC0BMtIgIwXUGWCm1K7ubG6p/dfMAsytwMxSuz6ZhV22Nctsn+5zKGm0SU9Gqra+5EeQFKWtM+oypGQb02luAzW6QcPR4BWE06VL2PZ5iEWVKkX3pJmASIaeQxXsSn4aY+a0+sxtOAwhk8nwtvMurpAEQRBMLjXkHEn79mPfvn3BhePuaFtgru2Ce2ch7naxx1cgmRzKVQO/dlC1Pfg01iZbT1gGBGBp4L52pZlIhkq5DE0GXx//GjulHWNqj8HSzNLUIeUQr4rnYbK26dTQNYYEQRBeBBmxT7biyGv16bg7cOYPuLQBIi/mvN/JF8rXBHsvsPcAO0+wctQmJGZWoDCDDJW2lSgjDdJTtK086SlPfpJBlajdNV6VpG1VUiVpjwMg07YQmVmAlTNYu2h3k3euAm41tImQeen73ClqIhkq5ZLSk/gr7C8AxtUZZ9A5ZyPPsu3mNio7VqZvtb7FGR4A12KvAeBu427QIO+s1l9dz9nIs3T27UwDj9K5Z40gCIKx1I8zk6Esm/xqNHBlG5xaBle2a7uqAJBBhWCo1gF8moB7oHaqeimmunOH5JMnMXNywrZlS1OHYzSRDJVymatPW5lZYa4wbPXSa7HXWHF5BS0qtCiRZOhKzNM9yQrr6P2j/Hf9P3wdfEUyVAZk7lVV2O03TE2lUqHRaLC0zP8bbmpqKmZmZpiVwMyfpKQkLC0t9VawNiVJkkhOTjbp8gLPI90mrU6O2iTo8gbY+412PE6mis3gpcFQtQPYuJgmUCOlnA3h/vsfYN2wYZlOhsRGraWcblq9AVtxZCrpbS4y9ySr6lj4vWfE9Prio1KpSExMzPGTnJxc8MloE5/sG3WOGTOmxPalyq1+Y7399tsMHjw43zKPHj2iUqVKREREFEmdBfHy8mLdunUlUldukpKS9LYbkSSJhg0bsmXLFpPF9LyRVCo0iYkAmEWfgp+bwZrh2kTIwgEavwlvnoQR/0HdAWUuEQLtdhzwZDuOMkwkQ6VcYdYYylTSixk6WTpR2aEy1ZyrFfpcsfBi8Zk6dSoODg64u7vr/bz00ksGnT9q1CjGjBmjd8zS0rLA1pWiklv9xenTTz/llVdeoXLlyiVWpymVL1+ef//9V3dbLpfz8ccf8/bbbyNJhq0iL+QvI3PfPxnIN43SjgmysIeW78Hkc/DyF6V+A9OCyJ+0JJb1ZKjMdZPFxMTw22+/ERoayttvv021agV/AN+9e5fff/+dhw8fUqtWLYYMGYJSWTamcpdUMiRJEufvxnH+bhyX78dz+X4CUQlp2FiYYWdphr2lGTU9HehQszwBHvZ6u3u/UecN3qjzhsF15Rar2JKjeNSqVYuzZ88WWE6tVut116hUKjKerJib+OSbrbW1NXPmzNE7LzU1FZlMpus2y34djUaDTCbLsRu8SqVCpVLpriuXy3Pcn1v9Wculp6frbUSb22OSy+UG7UQfGxvL0qVL2bt3b66PTZIkUlNTsbLSX9E9IyMj1y615ORkNBoNcrkca2vrAuvPTdZutOzPa2HqyXqd9PR0JEnSPbepqakkJibqzu/Rowfjxo1jy5YtdO7c2ai4hScyVGj2zEFuLiGTa5ApzKHJm9B0EliV3LInxe15SYbKVMvQggULCAwM5PTp0/zyyy/cu3evwHNCQ0OpVasWR44cwdXVlW+//ZZ27drp3gxKO2OSocxuspSMFFIzUvMtG5eczpKDN2j3wz5e+fEQ09ZdYMXRCE7diiHicTKX78dzQTaNo5rRLL7Tn/7bWlH7t3rU+a0e9ZYH0WtjL+MfHGLnelPbtm0bgYGBWFtbU758ed59911SUlKYPn06f//9N3/99ZeuRenUqVM5uskGDx5M//796datG87OzlhZWTFkyBBu3rxJ165dsba2xt7enmnTpunV+8UXX+iua2NjQ+PGjTl58qTu/rzqB/j+++/x8vLC2toaLy8vvvjiCzQaje7ctLQ0Ro0ahbW1NU5OTvTs2ZOoqKh8n4d///0XW1tb6tevr/fYBg0aRJ8+fbCxsdHtBh8TE8PQoUOxtbXF1taWOnXqsGPHDr3rNW/eHHd3d8qVK4eTkxNDhgzh8ePCtX46ODgwY8YMXnrpJWxsbHB1dWXhwoWFrsfBwYGZM2dSu3Zt7O3t+e677wgODiYpKYkRI0bg7u5OrVq1AFAqlbRr147Vq1cXKlYhm+grsLgdFpd/xL/3fapOrApvHIZ2nz5XiRCAQiRDJa9FixZcvXqVL7/80uBz3nvvPerUqcOGDRuYNm0au3fv5tixY6xYsaIYIy06xiRDtua2mMm131bzSjJiklRMX3+BBl/uZMamS1yLSsJaqaBlNVfGtKzMnFfrsnZsY34b2QBXOzNk8gzdD7IMNKSTrlERlZBMaro61zoMkdkyVJKrZReV5PTkPH+yLz6ZX9nsCWte5Yyh0WhyjBlKTdXWl5GRQd++fXnttddITk4mNDQUT09Pzpw5wzfffEP//v0ZNGiQ7rzg4OBc69i4cSP9+/cnMjKSI0eOsHr1aurWrcvQoUNJTExk69atfPPNNxw8eFB3zmeffaa77uPHj+nQoQPdu3fXjWfKq/5vvvmGRYsWsWnTJlQqFdu2bWPx4sXMmzdP79q7d+/m5MmTPHz4kEaNGhX44X748GHq1auX4/jff/9Nu3btiImJ4fDhw0iSRNeuXdFoNNy4cYOkpCTef/99evToQVhYmO68U6dO6cZnnT9/nrt37/L2228b/od7Yu7cucyaNYuEhATmzJnDuHHjOHz4cKHrWbhwIYsWLSI5OZkPP/yQixcvYmNjw6pVq0hMTOTatWu6ssHBwRw4cKDQsZqCOjGR1PBwUkNDdT8Z0dG6+zVpaaRdv076gwfcHDyEiNGji3ePMEnSzhD7pYV2sUQrJ+i1CNnITeBa+GEEZYGuZSg5uUx3r5apbrKaNWsWqnx6ejpbt25l3rx5uqZyT09PWrduzcaNGxk+fHgxRFm0+lTrQyvvVpjLDZtJBtrFDJ0tnIlMieRx6mM8bD1092k0EmtO3ebrLaHEJKcDUN3djsGNKtK9rid2luYkqhL59uS3PDKryPCaw1lTYQWaJ1M/U1Vqjt18xPIjt7h4L55E5LSftY8Z3QNp7e9W6MdXlrvJGq7Me1+r5l7Nmd/u6Y7srVa3IiUjJdey9cvXZ2nHpbrbHf/uSExazufj/LDzhY7x4sWLuLu76x3r2bMny5cvJyEhgYSEBFq0aIFCocDJyYm33nqr0HW0a9dONzg5KCiIhg0b4uTkRL9+/QBo2rQptWvX5ujRozRr1izH+ZIk8e677zJr1ixOnDhByzxmpKjVar755hsWLFhAjRo1SE1NpXLlyrz55pv8/vvvTJo0CUmS+PHHH5k9e7auteO9994r8MvP3bt3cXPL+fpt0qQJY8eO1d3eu3cvp06dYtOmTVhaWqJSqejevTsLFy5k9erVTJ8+Xe98jUaDk5MT77zzToEDuHPzxhtv0KpVKwAGDhzI6tWrmTt3Lk2aNClUPW+99ZbB+7C5ublx586dQsdqCurYWKQn3a2ZJLUmyw1Jm/xoNKgfPSLpwgXSrl7Fsnr1og8mNR42jIPLT8Zh+baEnr9o1wZ6jmUmQ0gSUnIysjI6G7FMJUOFdevWLVQqFb6+vnrHfX19OXToUJ7nZZ/FEh8fX2wxFsTa3Bofc59Cn7ek4xJszG10s7UArkUlMmVNCGciYgHwL2/HJ68E0Liyi964ilvxt/jnyj+4WLowMnAkbtZZPiRsoJKTF33r1GJDyF2+3hLK7ccpjFx2gvc7Vmd0i8oGjdHI5GHroduSQyh6+Y0ZcnJyYtSoUbRp04bevXvTqlUrunTpgrNz4f4W2f9/2dvbU6lSpRzHYjMHkwKXLl3i7bff5uDBg6hUKpRKJcnJydy+nfeKu7du3SImJoaRI0fmeI1lxnz37l0SEhJytPLUq1ePpHya8eVyuV5XW6bq2T40z5w5Q3p6Ot7eOVdOr1Gjhu73P//8k88//5zw8HDdmKKUlBQSExOxtbXNM47ssj+OoKAg/v7770LXk/1x5CdzDFKZ8GQ2nJmrKwp7e0B/Q1SZUonSxwczQOHlieb+fdSF7K40SPRV+HMARIeD3BzafgyN3yR23Trit23D/uWOOPZ+tiEFpZXMygrPb/+H3MYGWT5j+Eq75zoZSknRfhO3s9PvYrK3t893evFXX33FZ599VqyxFbeK9hX1bm8+f59314SQpFJjo1TwVvtqDGtSCXNFzje9m/E3c71GVnK5jJ4vVaBDgDtfbr7MH8ci+GpLKNeiEvm8Ry2UZoa9mZrLzcvslhzHBh7L8z6FXH+w695+e/MsK5fpP1dbe299prgK49dff2XixIls376dJUuWMGHCBP777z+aNm1q8DVyS34LSoh79epFixYtuH79uq5FxtnZ2aCxfFu3bqV58+a53pc5yDjrlPHcbmfn7e2t182VKbcB2o6Ojjx6lHe37sWLFxk6dCjLli2jV69eWFpasn//flq2bFnosYq5PY7MpKcw9eQ30Dy7Bw8e5JrslUbSk+dHbmmJPNvgdgCZXI7c0hKZuTlm5VxRARmPijgZCt8Of78GaXHa1aH7r4AKQQCkXg4laf8BLGuU/e0q8iKTyXDo1s3UYTyzMpL+G8f+yTeFrN9IQTsAMvO+3HzwwQfExcXpfvL7tlrcVoetZs7pOYQ9zvlGbYh0tYYv/rvEuD9Ok6RS09DXmV3vtOK15pVzTYRA2zIEUMmhUoHXt7Ew44uetfi0WwByGaw+eYchi48R96QL7nlmbW6d54+FwsLgstm3WMmrXHGpXbs2U6ZMYc+ePTRu3JglS5YA2sG0BSURxkhMTCQsLIzRo0frEqGwsDBiYvS7BrPXX6lSJVxdXfnvv//yvLaHhwfOzs4cPXpUd0yj0XDsWN6JK0CzZs04efJkgWMegoODefz4sd71sztz5gxubm4MHDhQtwzBkSNH8r1uXrLXc+TIEd1wgWetJ6+/b35dlaWNTKlEbmFhUIuEmaN2JWd1TBElQ5IEh+fByn7aRMi7EYzeq0uEtHVlWXBRKNWe62TI29sbOzs7Ll26pHf80qVL+Y4/srCwwN7eXu/HVDbf2Myv53/VtdYY6vC9w8w4/CWvLJ3HogM3ABjTojJ/vNYQd4f814kxpGUou+FNfVk8PBhbCzOO3XjMa7+fMHhg9arQVXxy+BMuPsplXx7hmeQ2gDpzqvqlS5fo3bs3+/btIyoqihMnTnDx4kVdd4+vry9nz57l7t27JCYm5tqNZAxbW1sqVarEggULuH//PqdOnWLgwIE5ymWvH2DGjBnMmjWLuXPncufOHUJDQ5k7dy7vvPOO7rx33nmHmTNnsnPnTu7cucOUKVO4evVqvjF16dIFjUbD/v378y3XvHlzOnbsyKBBg9i2bRuRkZEcP36ccePGsWHDBgACAwN58OABK1euJDIykjVr1hRq0kdWCxcu5K+//uLevXv88MMP7Nq1Szeu61nr8fX1Zd++fcTGxupaylNSUtixY0euf4/SSFmhAhZVqyI3YPkCq/r1cRo6BAv/IhgvpFHD1vdh+0eABEHDYdi/YFder1hmMmSW175kz4mko0eJ27CB9IcPTR2K0Z67ZGjFihXMnDkT0I4D6NevH0uXLtX9Zz916hSHDx/m1VdfNWWYBjNmNhnAsbshrLmyiutJZ7G1MOPnwfX4oHMNzPJoDcpK1zJkX6lQdbb2d+OvMY2wszTjxM0YJqw6Q4a64A/QPRF7+OfKP7o9zoSiYWFhwfXr13Msuuju7o5arSYgIIDBgwfz6aefUrNmTYYNG8aoUaN0H7Zjx47F19eXoKAg3dT27IsuWllZ5ViE0crKKsd2HdmPrV27lvDwcAIDAxk8eDBDhgyhWrVqet05udU/duxYVqxYwV9//UWdOnXo1asXN2/e5P3339ed99577zFixAiGDRtGy5YtSU5OZvTo0TnWCMrK1taWN954g19++SXfxwawbt06Bg4cyOTJkwkICGDSpEnUqVOHLl26AFC3bl3mz5/PZ599Ro0aNZg7dy4zZ87ExsZGr/vQ1ta2wG0/Pv/8c5YuXUpQUBCLFy/mr7/+om7dukVSz/fff8+hQ4eoXLmybrD5X3/9hZ+fH61bt843rrLIvl073D/8EJuGz7jtT3qqdhXpYz9rb3f4ArrNAbOca9fpNmkt5Di8siby+x+49977pF68VHDh0koqQw4fPiyNGTNGGjx4sARI3bp1k8aMGSP9+++/ujKjRo2SatasqbsdGRkp1axZU6pWrZrUt29fydHRURo9enSh6o2Li5MAKS4ursgei6Har2kvBS4LlM5FnjP4nJvRiVKDuZ9LgcsCpdoL+kuX7hket0ajkRqsaCAFLguUrsVcMyZk6ci1aKnqtM1Sxfc2Se//fU7SaDT5ln9v/3tS4LJAadmFZUbVV9xSUlKkS5cuSSkpKaYORShG8fHxUpUqVaTQ0FBThyJJkiQpFAppy5YtJVZfRkaGVLt2benAgQMlVmdJKNL/v8kxkrS4oyR9Yi9JM8pJ0rk1+RYPb9VauuRfXUo+d/7Z6y7Fbg4bLl3yry7Fbvy34MIlzNDP7zI1gNrZ2Vn3rSjrAM+sU4eHDBlChw4ddLddXV05ffo0O3fu5OHDh7z33nsEBT3t0y3tCtsydPl+PEMWHycWc6zsoaoH1PAwvJvvUeojkjOSkcvkVLCrYFTMjSq7MKd/XcatPM2q4xG421syqV3eS85nzngri2sNCc8POzu7ArvTnmcKhYKQkBBTh2EwTVoaqhs3kJmbY1GlSoHlJbWajKgoNMnJKCsaPgRAJ+kRrOipXT/IwgFe/QN8cx/In+npmKHnu5vseViFukwlQ/7+/vj7++dbJreBf0qlskwuLa/WqElM146VMCQZCn+YwKBfj/E4SUXlCm5EAUkZcYWqs5xVOY4NPMa9xHsoFcZvWdKplgczugcyff0FZu0Mp7a3Q57rELlYaTcnLItrDQlCcTGkG+2FplZr1xAycCmP1NBQbg4ajLm3N347theuroQH8Ht3iAoF63IwdD2418r3FE1qKjIzMyTA7DkfQP08bNb63I0Zep5kJkJQcDJ0NTKRgYu0iVDtCg7M7af9xpLb4n0FsTa3xs/Jr9DnZTekUUWGNtZ+A5uyOoTI+Ny3BhE71wtCTrGxsbRr187UYZRamdPqZbns2ZYbhaMjAOp8lkXIVWwELOmoTYTsPGHElgITIdBO9/c/eYLq50KQGbk/XVnxPLQMiWSoFMvsIrNUWObbSnMjOomBi44SnZhGgIc9v49sgI+jKwBJ6Uk5toYoSR92rkF1dzseJal4a/VZNJqcU5fF/mSCIBSWblsNA1vPMpMhTXIymtT892zUibsDy7pAzA1wrAgjtxR6Ww2ZUlmohWjLoudhfzKRDJVi5W3K81/P/1jeeXmeZe7FpjBo0VEiE9LwL2/Hitca4mitxM7crsD9yXIz78w8ZhyZQejj0GeOH8DSXMGPA1/CylzBoauPWLAv54yxzNWnRcuQIAgGK2TLkNzaWrcekUGrUMffh9+6aVuGnCtrW4ScKhkb7XPt6f5kZTcZEh3SpZi53Bwf+7y34ohNVjF0yXHuxaVS2dWGFa81xNlG24Ikk8n4+5W/sVfaF2qrix23dnAj7gbtK7Z/5vgz+bnZ8dkrNZn69zl+2BFO4you1PN5OqCwhksNtvTaIrbkEATBYIXtJpPJZCicncl4+JCMR48x9/TMu3BiJPz+Cjy+rm0RGvYvOHgVKr7EAwd4/PtyrBsEU+711wt1bllj26YN5l5eKH0rmzoUo4lkqIxKUakZuewEVyMTcbe3ZPmohrja6a/tUtmhcC/MDE0GtxO0q20Xdo2hgvStX4EDV6P5N+Qe7/99jk0Tmuu27LBQWBg9c00QhBdTZjKEgckQgMJFmwypH+czbijpkXawdHQ42Fd4kgg9fX9Kv3+f9Dt3QCbDun593fHU8HA0cU8nrCTuP0DSgQMo7Aq3RlxZZOnvj2UBk5tKO5EMlWJnI8+y/85+arjU0GupSVdrGL/yNKcjYrG3NOP3UQ3wcsx7QTlD3U+8T4YmAwuFBeVtyhd8QiHIZDJmvFKTQ1ejCX+YyK8HrzOu1bMP0hYE4cUkMzPTbsWhNHzWq5mzC2lAxuM8hg6kxMDy7hB5Cew8YNhGcHo6DT89MpJrHV5GSk9HZm5O9fPndPdFzZpN4p49OS75vE+rf16IMUOl2Lmocyw6v4gdt3bojkmSxLR159kdGomFmZwlw4OpVj73bx67Inbx9fGv2X8n/y0GMmVuw+Fj75Nj89Ci4GSjZFpn7VYPc3dd4fbjp5vlLj6/mI8PfczNuJtFXq8gCM8fczc3LKpWLdRWF3Zt2+A8bCgWvpVy3pkaB8t7wYPzYOMGQzeCi/76RWmXL2sTIQsLlJX0r2FW3g2lr6/ej2XNmjh0f8WIR1e2ZMTEkLBrF4n79pk6FKOJlqFSLHNqvb3y6aKJP+25yuqTd5DL4MeB9ahfKe9xNicenOCPy39gqbCkRYUWBdaXmQwVdRdZVr3qebH21B2OXH/E9A0XWDo8GJlMxrab27j8+DLtKrYzaINYwTS+/PJL1Go106dPN3UohTJr1iweP36s26onNxkZGfTr14+vvvoKf3//UvdYS1s8pcHXX3+Nm5sbI0eONKi804ABud+RlgAr+sC902DlDEM35DprTHX7DgA2zZvh/eOPevd5fPppoWJ/nqhu3ODO+Dcxr+iDXxnZ5Dc7kQyVYtlXn15/5i7fbQ8H4LNXatI+IP+urMz1ewxda8jYPckKQyaT8XnPQDrNPsDesCi2XHhA51oeYnp9MZg7dy6rV6/OcdzNzY1//vmnwPNnzpyJQqHgww8/1B0LDw8nI3NKczHLrX5jXbt2jQcPHuRbZsGCBcTHx+sWdi3Jx2qI0hZPbjIeP0aTkKC7rXB0ROGg3S1ek5ZGRta/gUyGwtkFha2NQdfO7fXQvXt3mjZtyiuvvEK5cuWMC1qVBCv7w53jYOmoTYTKB+RaNP2ONhlSVvA2rq7n1NN1hpILKFl6iWSoFItXxQPaZOjY9UdMXavtnx7dojJDGlcq8PzMBMPQKeuZ5QqzW70xqrjaMrZVFebuusJn/16kZTVXMb2+GFy/fp2HDx+ydOlSvePZN1HNS1hYWI4VkKdNm4Yk5VwrqjjkVn9xUavVfPvtt8ybN093rCQfqyFKWzzZSZJE+v37kCVGmbU1uuHNGg3qLIkSaNcKUtgaNtEj++shNSwMXzMz6tapwy+//MK0adMKjjEjg4zHj5FUKpQVKkB6CqwaALcOgYU9DFkHHrXzPF91RzvBxNxbTPjISpcMJSYWULL0EslQKZbZMpSapmT036dQqTV0CnTn/Y7VDTrfxVK7zYWhCcYPrX4gUZVYLOOFshvXqgobzt7l1qNkFh24jpODNnGLTI4kTZ2GheLpB3ZKRkqO883l5rp1lIS82djY0KxZszzvv3fvHj/88AMXLlzAzc2NoUOH0q5dO+bOncv27duRyWS68xcuXMj69ev1umqmT5+Ora0ttra27Nu3j8TERAYNGsSrr77KggUL2Lx5M9bW1owbN442bdro6v35559ZsWIFAE5OTtSvX5933nkHW1tbgDzrDwgI4MyZM/z444/cunWLihUrMmbMGBo00N+JfM2aNfz2229YWlrSvn37ApOIHTt28PjxY71te9asWVMijzXTypUrWblypS7mpKQkYmJidF17ucXj4OCAq6srmzdvJjU1lV69ejFs2LBC1T19+nTs7e1xcnJi/fr1uLm50b9/f2bNmsV///2HIstsrR9//JFz586xcOHCHM/h9I8+wjo1FQc7O/acOUNKaiqDBw9mwJAhAMjMzVmybRsr16wBScLByoqgWrV476uvCoynbt26OV4Pc999lxpVqtCnTx9+mDXLoGQo6dAhbo8Zi2VAAL6rV8Jfg+HGPlDawuC/watevuen385sGRLJUFaZyZCUmoqUkYGsDG4jU/YifoFkJkO/H3xIXIoTL/k4Mqt/XeRyw1YzNabryVZpW3ChImBpruDdl/15c+UZFu6/zphXtE3pKy6v4HrcdX5p/4uubJvVbfS2JgFwtHDkz65/4mVbuLU/ipImOZ8mYYUCeZYWmHzLyuXILS0LLCsvhiX927VrR0BAAJMnTyYmJobvv/8eGxsbunXrpvsgzOyW8Pb2ztFVc/nyZTZt2kS/fv0YMWIEp0+fZvDgwcybN4+aNWsyYcIEDh8+TMeOHQkLC8PX1xeATp06ERgYCEB0dLQu+Tl06BBAnvXv2LGD/v378+677/Lqq68SEhJC27Zt2bBhgy4BWblyJSNHjmTmzJlUr16dn376if379+e7P+Hu3bsJCgrC/MmifJCzW6q4HivAsmXLGDt2LJ9//jnVq1dn/vz57N27Vy/m3OLZvHkzPXr0YNiwYdy4cYOxY8dibW1N3759Da478zqdOnXijTfewMvLC19fXw4cOMDWrVvp0qULABqNhm+//ZaJEyfm+hxevnyZLVu20LRePSa+/z5hYWGMeP11MtBuoC0zM6Nrnz7UadgQKSODeyEhLFi5kt0vv1xgPA4ODnqvB01GBhWsrEAmo0nTpox/801u3rxJpWyDmrNTOGu/IGY8egRrhsPVnWBuDQNXg3eDfM8FcP9oGmk3bmAZkHs32osqMxkC7fuXwt7wzcFLC5EMlWJxadpusqh4OT7O1iwaWh9Lc8PX1MhMhqKSo3THElQJxKXlvnmrjbmN7pyS0KWWB4sqXCfkThxXbpbHyswq11ag3MSmxXI+6rxJk6GwekF53mfTsgU+vzxN6MKbNkNKyf2xWQcHU3H577rbV9u20+12nVWN0MuFjvHq1as5WoZat27NzJkziY6O5vLly2zYsIGqVasCMGDAAFJSUrCyssLV1RUzM7N8W5ZAu4Hyb7/9hkwmo1OnTqxduxZJkli8eDGg/UD+888/2bx5M+PHjwegYsWKVMyyc3j79u1xdnbm5MmT1K9fH19f31zrnzhxIjNmzODNN9/UnRcfH8/nn3+uS4amT5/Ohx9+yLvvvqsrU7GAXcqvX79OBQO+7RfHYwX49NNP+fDDD5kyZQoAHTp0KDBmAD8/P/744w/ddg9Hjx7ln3/+0SVDhtQN4OnpyerVq/Vagfr06cOSJUt0ydDOnTu5f/8+Q5609OQgSdhaW7NmwQIca9emW7dupKSk8NFHH+nOyYxHkiRSXV1p27gxXs2bGxRP1teDJiWFtGvXkCkU+Hh4ANpxYQUlQ2bO2vc3dXQkUugZZOaWMGAVVGqa73mZrIODsQ4ONqjsi0SuVIK5OaSno0lKEsmQUHQ0Ggn7uNdJunELW7k7S0cEU87WsLEemTLH4fSp1ocMTQZmcjPWX13P/078L9fylewr0adaH4bVHJbr/UVNJpPxQecavLrwKFtOK9kyaTsVnJUo5PoJ366+u/RuT90/lX139unGVAl58/Dw4Ouvv9Y7ljnQ1MXFhcDAQEaNGsWECRNo2bIlbm5uWFkVbs2q+vXr6+295OnpmeNDydPTU28Ac3JyMgsXLuTgwYNERkai0WgA7Qda1g/FrO7fv09oaChLlizRJSGSJBEZGUlsbCwAjx494vr163To0EF3nqWlJS1bttTVkZuUlBQcngz0LenHGh0dza1bt/RiViqVtGjRAnXmwoJ5CA4O1ovHx8eHw4cPG1x3psaNG+slHgCvvfYabdu2JSoqCldXV11i5ObmlnswMhnNGjXCxvXp/S+//DIff/wxkZGRuLm56cfz4AGaJ92XhsSTVdYFFy2ftKqm5PFlIyuFo8OT8yU0kgWK/n9A5VYFnicUTGFtjTourszuTyaSoVLqy82X2XtJjVLhw6JRDajiWvjuK3ulPe182vFypZd142vM5GZYmeX+Yfco9RHW5iW7u3Kjyi60qe7G7tBIZu24xoLBOVtbssfUpXIXAssFUrNczZIKM1f+p0/lfWe2N/Jqhw7mXVauP0bLb9fOZwlLT35jhmQyGQcOHGDhwoX88ssvDB8+nKZNm/Lbb7/h8eTbtiGydi1lXje3Y1nH7QwYMIA7d+4wadIkKlSogFKp5JVXXsn3Ay3hyeDbcePGUb26/ri5zIG18fHaBDn7eBw7Ozvi4nJvEQXtDLvo6Og8789UHI8183Flj9nW1jbfmPOKx5jn2cYm54yu5s2bU6VKFVasWMHw4cNZv349a9euzTMWmVyOnasr5h7uumN2T1Zfjo+Px83N7Zni0ZNlK45HT3ahL1++gIViNRrkO6YiN9OgyZCjbvMdiqrt8j8ni9SwcFIvXsSyRnUsa9Qw+LwXhdsH7yOTyTBzdTV1KEYxOhlau3Ytixcv5vr164SFhQHw1Vdf8dprr+FaRp+M0uLXA9f59eANAL7tW5uGlV2Muo5MJmNW61l6xwZUH8CA6nmstWEi73Wszt6wSLZceMDpiBi9fcty08m3UwlFlr/CjOEprrLPytHRkalTpzJ16lRiY2Np2bIlX3/9NXPmzEEuL56B9CkpKWzatImDBw/SuHFjAGJjY3WtO5my15/54Zmenp5nguft7Y25uTlhYWG6sTKgnYnk7u6e6zmgbWH53/9ybzF9FoY81goVKmBmZkZ4eLhezFeuXMm7FaaI6i7IqFGjWLJkCebm5jg7O9OpU/7/9zI/C7LeVigU+Pj4PHM8WV8Pun3JzMw4e/YsVlZW1K6d9ywwJAn2fgln/0Bh4YYmQ06GfS0MX7saEvfuJWrWLBy6v4LnN98U4swXg2OPHqYO4ZkY9W63ZMkSxo4dS3BwMOHh4brjdnZ2fPXVV0UW3Ivo35B7fP7fZZCpaNnwJI/NtqOR8m7efx74u9vRu552vMZ328IKKC0UlVu3brFo0SJdV4ytrS2Wlpa67gk3Nzfu3r1b5PUqlUqsrKw4f/48oJ3WPmXKlBwzvrLXb21tzYgRI/j888+5dOmS7nhYWBjLli0DtC1EAwcO5H//+5+uxWXz5s16A3Rz07VrV+7cucOVK1eK4iHqGPJYzc3NefXVV/n2229JfDI1eceOHRw8mE9rYhHVXZBhw4YRHh7O559/ztChQ/PtukKSOHr0KJs2bQIgMTGRr776igEDBqBUKnPEk56QwNvjxhkcj97rQS5HbmGJTKlk586ddOzYMe8lIyRJu83GpfUgk6PwrASQ//5kuUjPnFYv1hh6LhmVDH333XesXbuWGTNm6B3v2rUrf/75Z5EE9iI6fC2ad1aHANC3gROn49fy09mfSmSqu6lNbl8Nc4WMw9cecfJm/ksBJKoSCY8J50bcjRKKruzKHECd/UetVuPi4sLJkycpV64cQUFBeHl5oVAoeP/99wEYPHgwJ0+epFatWjRr1kwvAXkWCoWCWbNmMXHiROrUqYOXlxd37tzJsWhebvXPmjWLjh07Uq9ePQIDA6lUqRK9evXCx8dHd94333xDeno6Pj4+BAYGMmnSJFq3bp1vTD4+PvTs2ZMlS5YUyWMs7GP93//+R0pKii7m8ePH06xZs2daZ8nQuvPj6urKK6+8wsOHDwtc5VmTlkbz+vV5e/JkatasiY+PD2lpaboWt+zxePv5cTsignLOea+in1XW10Orrl25lq5CcnZm1apVTJgwIfeTJAni74EqEZBDz1+w7zkQ52HDMPcq3OQL1ZMFF8UaQ7lLDQ0lYfdu3fNU1sgkI1bxsrS0JCYmBisrK+RyuW5QXlxcHG5ubqSlpRV5oKYUHx+Pg4MDcXFx2BfTKPnQB/H0XXCEhLQMOgW6M6GjDf3/60s5q3Ls6Zdz87/n0ft/n+PPE7dpUc2V30fmPc113ZV1fHz4Y5p7NWd+u/nFHldqaio3btzA19dXN1izLLhx40aeLTtZu5kSExMJDw+nXLlyekkFQFJSEleuXCExMZE6derw4MEDJEmiWjXtVgWhoaGYm5tTpcrTPZwuXbqElZWVbmo5wPnz53FwcNC7/uPHj7l27Rpubm5UrFiREydOULFiRb2uoez1Z45BiY2N5cqVK5QvXz5HzKBdAPDChQtYWlpSpUoVbt68iUqlyjHWKKsrV67QtGlTLl++jIuLC1euXCnRx5o95s6dO1OjRg1mzZqli6+geCIiIoiLi6NWrVoG153bdbKaMGECZ86cKbClqleXLjjb2DB/3o9EJMSTkpJCYGCg3gDvrPG42NrioVZzKjSUai1aGBRP9tfDsmXL2LJlC5s3b84ZkCRBbASpCY+4cTcaX5sULGt3z/cx5Odqu/ak37lDxT9WYB2U90zSF9WdiZNI2L6d8tM/wnnQIFOHo2Po57dRXzs8PT25dOkSQUFBei/0rVu35vkfSsjb3dgUhi05TkJaBg0qOTOrf13OPzoNPN2K40UwrpUfa07dYX94FGdvx1LX2zHXcpnPSeY6TELufH199T6k82Jra0u9erkvNmdjY0PdunV1tzOTkUy5JRcBuazBkvXDOZOzszPOWVoFgnOZspy9/kyOjo65ls8kk8n06qxcueBVjqtWrcquXbt03TaZyw1kKs7HGhoaSmxsLI0aNQK03WQ7duzQLQ9gaDy5JYYF1Z1fgvj48WOWL1/OL1mWicjTk+dNrjTHz88vz2KZ8WhUKtLCwwmqUQPLLONM84sn++uhVatWDMhtvzFJgthb2u4xAGsXqGb8hAspPV27ujZgLhZczFVZ35LDqP6XMWPGMHLkSPbu3YtMJiMsLIw5c+YwZswY3njjjaKO8bkWm6xi+JLjPIxPo6qbrW4toez7kr0IfFys6VFX23Q9b1feYzcyn5PsCzEKwrOqVauW8XtcPQNXV1feffdd/Pz88Pf355VXXuHrr7+mbdu2JR5LpqFDh1KzZk2CgoLo06dPwSdotMmQLL9xRVnoVimWJCjknmtpt26ReuUKAZUr5/x7SRLEZCZCMrD3AuXTSQlSejrpDyNJL8R4uPQHD0CtRqZUltnZUsXtaTL0Ak2tnzp1KvHx8XTu3Bm1Wk316tWxsLBgypQpusXQhIKlpqt5/feTXIlMxN3ekt9GNsDBWjtV9kVMhgDGt67CujN32BUayYW7cQR65Vz7JXOVbLHOkPC8cHFx4cCBA9y+fZvY2Fj8/PwKvd5TUXvrrbd4++23qV27tkEzCz+ZNAkzpBzLSuRFJpcjMzdHSk9HSk9Hlm2ZgPxIaWlIKlUud0gQcxNSYwEZOFUCmSXwdBxi/NZt3Hv3XawbNaLisqU5r5GLzA1azStUQFZMsyzLuhcyGZLJZHzxxRdMmzaNixcvotFoCAgIyNGELuRNrZF466+znLgZg52lGctGBuPp+PTNT5cMmb9Yz2llV1teqePJ+rP3mLvrCguH5lyAz95c2+8rusmE5423tzfe3qVjttJLL71UqPL+lSohqTMMbhkC9JKhQsmyzpCOpNG2CGVNhKwcITVV71QzF22XofqR4bPJLGvWxGfJ4sLH+QIp68mQUSmuRqPhwoULWFtbExwcjIODA1988QWLFi0q1bsqlyaPk1Rcvh+PUiFn4ZD6VHfXH9j1orYMAbzZxg+ZDLZfekjYg5wJT2bLUEpGChmawjWvC4JQ9CRJ0lsV2lCZrUGSyvAkI2tduq42jRoeXX+aCDn7ahOhXChcnuxP9tiwDawBFPb22DRpgm3Llgaf86KR22i7IstqMmRUy9CsWbOIjIzkm2++ITU1lXbt2uHm5sadO3eIjIw0aPfgF52rnQV/v9GEC/fiaVwl56KK/fz70aJCixcyGfJzs6NjTXe2XHjAogPX+a5vHb37s24mm6hKxNHSsUTiEom+IORBklA4OWrH1RQiGTJzd8fcw6NQCRRZtyhRKECdDo+vQXoKyOTg5AuWT79cZv9/q3B6sj9ZTAySRiO6vYpIWW8ZMioZ+vnnn9mxYwcAu3btwtnZmdOnT3Py5En69+8vkiEDudha0LJa7oPxXKxccLEybuXp58HrLSqz5cIDNpy9y9SX/XGzfzql3VxuzsjAkViaWeq2GSlOmQvNqVQqk4/jEITSSCaXoyzkuj0A8kKME8qkaxWSK5CpVfDoGqjTQG4GzpVBqb+VR3KydnZT5tYlZk+SITQa1HFxT2/nI+bPv5BZWGDbqqVB5V9EVnXqUH76RyhLSTdvYRn1SXL37l3dmhB79uyhW7duAAQGBnL/yfRDQXgW9XycqF/RiZO3Ylh2+CZTO+pPt30r6K0Si8XMzAxra2uioqIwNzcvtm0qBEEomDo5hXSNBplCDvfDQMoAuTnY+YBGoRsjJEkSycnJREZG4ujoqPtSIzM3R+HggDouDvWjRwYlN1GzZ6OOjcV3/TqRDOXBwtcXCwOW8iitjEqGqlWrxu+//84rr7zCn3/+yR9//AFAeHi4bkEwwTDDtgwjIiEix/HolGjG1R1HV9+ueNuXzUz7Wb3WvDInb53ij2MRjG/th42FafYVlslkeHh4cOPGDW7dumWSGAShNJMkCSSp0F1OkkaDJiEBSaMxOMnQqFRoYh4Dasxi1aBQgo0rJNzLtbyjo2OOfekULi6o4+LIePQYi7yXRAJAnZiI+sn+aWKNoYJFzZ1LwpOeo9z4/PYbZk/WvYr+ZSHxm/4FoOLKlShMOAnLqE+XmTNn0rdvX9544w06depEixYtAJg/f75YZ6iQYtJiiE7JfbfsX0J+4eWKL5dwRKVH+4DyVHKx5uajZNacvM3wpk+/dUSnRBOTGoOrlWuJjBlSKpVUrVoVVW7TeQXhBZd44CAPv/wSi8BAvL41fMNbTUoKN3r1Rgb4rFmNwta2gBM0cPwXOLlYe9u3FbSfobeOUFbm5ua57qfm0K0r6rh4zFwLXlMqc1q9wsmp4PgE0iMjSbtyNc/7pSxrSmVERT0tm3UsmAkYlQx169aNhw8f8vDhQ6pWrapbhXrIkCE0bNiwSAN83s1pPQeVOvcPWBcrF8pZlfwCcKWFQi5jVPPKTF9/gcWHbjCkcSUUcu1rbfqh6Ry8e5CZTWfSw69HicQjl8vL1HYcglBSUh4/Rn7/PsoaNQr3f8TSEvOUFNSxsSgePcIyvwUvkx/DP6/D1Z3a200nQ9tPwIhu63KF+NKuuv1kg9YyOhampLmMGIFD16553q9wdNT97jRoIHbttAuLZg7ANhWj+x0cHBxwcNBfEK9p06bPHNCLxteh7PaxloQ+9Srww/Ywbj9OYdvFB3Su5QE8XX9JrDUkCKanjosDQOGQc5HUgph7eqKOjSX97j0s/f1zL3TnFKwZBnG3wcwSus6Gurlsw1EM0m9rW4aUFQo/QPxFZFGlChYGbstVmsYZGZUMqdVqVqxYwaFDh3icy1oNa9eufebABAHASqlgSKOKzN19lV8PXH+aDGVuyaESW3IIgqmp42IBI5MhL09SL10i/V4uY340Gjj2M+z4GDTp4FyZh4/ak/jBclxeU+LYu7dR8Urp6agiIkg+dUo7tT8bpY8PyooVAUgLC9XGWUG0DD3PjEqG3nrrLZYtW0anTp1Mso+P8GIZ0rgSC/Zd43RELOfvxFGrgoPYkkMQShFdy5Bj4ZMhsyfJSI5kKPY2bBgHN/Zrb9foBt1/Iv3d6ahu3ECTbWXpwohdu5YHn83I8/5yE97Edfx4AKwbNiJuw0bMvcXg6eeZUcnQqlWr2LlzJw0aNCjqeAQhB1c7C7rU8mD92Xv8duQm3/WtIzZrFYRSRPOM3WSQJRmSJDj3F2x+F9LiwdwaOsyE+qNAJtPN7Mo69qSwbNu2xWbnLjJicl+F2qzc0/XfrOu9hE3z5ti1a2d0fULpZ1QyJJfLCQgIKOpYBCFPQ5tUYv3Ze2wMuccHnapjrxT7kwlCaaGO07bQPksylBEZCdFXYfM7cH2v9s4KwdDzF3B5OgalKJIhczc3fBb/alBZZaVK+CxaaHRdQtlg1Opx7dq1Y8OGDUUdiyDk6SVvR2pXcECVoeHPE7exNdd2k4lkSBBMz7phA+w6dMDc26fQ59o2a0bVPTuoOKo6LGisTYQUFtBmOozYqpcIwdNkSCx+KBQlo1qGbG1tGT58OBs3bsTPz083tT7T559/XiTBCUImmUzGsMaVeGdNCH8cvcXiWlUYGjCUyg6VTR2aILzwMsfXFJo6A3noWuR7v4b4u9pjfu2h8/+0W2tkI0kSGUXQMiQI2RmVDIWFhdG0aVPdWkOCUBK61Pbgi82XuReXyq0H9rwb/K6pQxIEwRgaDYRugt0zITocgDSpAupao8GnCVx7pP15wszDA2WFCmiSkrVjihDJkFC0jEqG9u7dW8RhCELBLM0VDGjgzU97rrHs8E06BuacEisIQsmSNBo0SUnIbW1z9BLkoE6H82vh0ByIuqw9ZuXEo6S2JIQlkvLXz8DPOU5zGT0at7ffQkpX4fXt/7j3/gfIxKbJQhEyzWZPgmCkwY0q8vO+6xy9Hs2hG1dxc5Twc8zZVSsIzxNNSgoZj3Kf+QTaKe2m2ioiIzqaqy1aIjM3xz/kbO77kyU/hjMr4NgvEK9dxBClHTQcA00novhvF5ozS1FWzr3bW+GsHR9k5uSEVe3auLz+uvg/LxQpo5OhiIgI5s6dy+XLl5EkiYCAACZOnIiPT+EH0AmCoTwcrOgQUJ4tFyMYu78nAMcGHsPaPPe9iQTheZB84gS3R4/J8/7yH32E8+BBJRjRU5nT6uU2NvqJkCTB7eNwcglcXAfqNO1xGzdo9AbUHwlWjgA49u6FY+9eBtVn7uWF65tGjlEShDwY3U3WqVMn/Pz8aNiwITKZjG3btvHTTz+xZcsWWrVqVcRhCsJTAxv6sOXCfZDkINOQoEoQyZDwfJMr8u0WkplpNyNNCQkhcd8+bBo3xjo4uERCy7EVx8NLcOFv7U/MjacF3WtD8GtQuz+Yiz3+hNLFqGRo6tSpTJkyhZkzZ+odnz59OlOnTuX48eNFEpwg5KZplXJ4O1vzWG2J3CyZBFUC5W3KmzosQSg2ts2aUv3M6QLLxW3YQMzKVagTEks8GZLLk2F+Y4i89PROc2uo2UvbCuRVD0TXllBKGbXOUEhICG+//XaO42+//Tbnzp175qAEIT9yuYxXg31Ao/2mLFahFp5n6rg4pIwMg8paP9kVIPnYseIMSSv+Hhz5CfXGaQAoUm9rEyGFEvy7QO/F8O5V6PETVAgSiZBQqhnVMuTo6Mi1a9eoX7++3vErV67gKKY7CiWgb/0KzA/XNrVffviQum4mDkgQisn1nj3JuHefSmvWYFUrMN+yma1BaeHhZMTEFP3ChEmP4PIGOP833DoESKgf2gAOKJxdoftMqN5VNxZIEMoKo1qGBg0aRL9+/fjzzz+5fv06169fZ9WqVfTr14+BAwcWdYyCkIObnSVOltotOXaE3TRtMIJQjNSxhm+CaubigkVVP0A76LpIpCVCyJ+wog98Xw02vQW3DgISeDdC7dNBG1/dV+ClwSIREsoko1qGvvrqKwCGDRuGSqUCQKlUMn78eL7++uuii04Q8lHJ2YWQx3Di1j1SVGqslApThyQIRUqTmoqUnAyAwsBWHuvgBqRduUrysePYd+hgXMWSBLePwZnlcGEdpCc9vc+jDgT21o4FcvTG4t9/sUt1wLJmTePqEoRSwKhkyMLCgh9++IGZM2dy9epVZDIZVapUwcbGpqjjE4Q89fLvwOWdZsQmurH5/H16B1UwdUiCUKQy9+HC3By5ge+v1g0aELNyJcnGTGRRJUHIKu16QE9WhgbAuQrU7qdNgspV1TvFoVs3HLp1K3xdglCKPNOiizY2Nvj5+el+F4SS1KtaT+7frcW3EWGsOh4hkiHhuaOOiQG0XWSGLjJo3UA7bigjMlK7MrQh780JD+DoAji1DFJjtcfMbaBmT23Xl08jMQBaeK4ZNWZIo9Ewe/ZsKlasiK2tLba2tlSqVIm5c+ei0WiKOkZByFPfoAoo5DJO3ooh/KHYwV54vmQmQ2aOhg+ENnN2pvKmf6l6+FDBiVDSI9j+EcypA4dmaxMhp0rQ8Rt4J1Q7E6xi43wTIU1yMtKT/cIEoawyqmXogw8+YPHixUyZMoXgJ7MXTpw4wYwZM3jw4AFffvllkQYpCLlRqVVoFLE0r27G3kvprDoewSfdxLgF4fmR2U1m6HihTBZPWuzzpErW7g925CdQPfkSUaEBNJsM1TqC3PDxd9e79yD93j0qrfwDqzp1ChWnIJQWRiVDixYt4u+//6Z169a6Y23btqVBgwb07dtXJENCidh8YzPTD00nwLEB0Iu/T93hvY7VsTQXA6mF54OZmxv2XbtiUSX3PbuMEr4NNk+B2Ajtbffa0GY6VG1vVFeYOi4O1GrkdnZFF6MglDCjkiGFQkG9evVyHA8KCkKe2yZ9glAM7My1b75mZql4OVpxNzaFzefv06ueGDskPB+s69fHOtt6boaQNBruT/uI5GPHqLT6L8zKlYO4u7D1Pbj8r7aQfQV4+XOo0R2MfN+W1Go08fFAlu04BKEMMup/QMuWLfn1119zHP/111/FvmRCibFTapOhxPREBjTwBmDV8QhThiQIpYJMLif18mXS790j+fhxpIsbkOY3Qbr0LxIKaDIRxh9DCuiBhDZ5Mmbcjybh6Tg9hb19ET4CQShZRrUMOTs7M2XKFP7++2+Cg4ORJImTJ09y5MgRXn/9dT766CNd2c8//7zIghWErDKToQRVAn3rezNr5xVO3IzhysMEqpYXTfZC2adOTERuYYHM3LzQ51o3CCYtNJS7b7+TeQSwptywvrh2mAGA6soVrnd7BQC5gwM+v/5a4CrXevFl7ktmbW1UjIJQWhjVMhQeHk7Lli1RKpWEhIRw7tw5lEolLVu2JDw8nIMHD+p+BKG42CptAW3LUHl7S9pW1+7Jser4bVOGJQhF5u7EiYTWqk3cpv8Kfa5Ds5eQ5TZ8zjb3vWs0cXHce+89NGlpBtehS4YMWB1bEEozo1qG9u7dW8RhCELh2Su1zfIpGSmka9IZ2NCH7Zce8vfpO0zt6C8GUgtlXkbmbDL7QrZ03j6O1dHxVOv5CI2yHHT5ASq3AEBuaakrpvT1peqRw2iSkrk54FVU168TNWcu5ae+a1A1mcmQwsGxcPEJQilj9DpDFy5c0N0ODQ3l/fffZ9GiRWK9CaHE2Jg/XUMlUZVI86queDlaEZeSzpYL900YmSAUDXVMLFDIqfUX18Nv3SD5EXLvOphNPohZUHfMnJwwc3JCbmWlKyozM8PMyQllBS88Zmi7zh4vXUry6dMGVaVwcMDu5ZexadTI8PgEoRQyKhmaNWsWy5cvByA1NZV27dqxfft2pk2bJqbVCyXGTG5Gf//+DAkYglwmRyGX0T9YO5D6rxOiq0wo+56uQO1o2AmHf4Q1wyAjFap1ghFbwN7DoFPtWrfGoWdPkCTufzQdSa0u8Byr2rWpMGc25d+balh8glBKGdVN9vPPP7Njxw4Adu3ahbOzM6dPn+bkyZP079+fadOmFWmQgpCXjxp9pHe7T1AFZu0M5+j1x9yMTqJSObFNjFA2aVJSkFJTAQNbhg78ALs+0/7ecCy8/GWhFk8EKP/hB2Q8fIjr5EnIFNpzb48bjyYxMdfyyiqV8fjkk0LVIQilkVHJ0N27d3Fz0w7C27NnD92ebNIXGBjI/fuie0IwHU9HK1pWc2VvWBSrT95masfqpg5JEIxSqE1asyZCbaZDiylG1amws8NnyWK9YymnTz+NJRvNk2RNEMo6o5KhatWq8fvvv/PKK6/w559/8scffwDaWWbVqlUr0gAFIT/J6cnEq+KxNbfVzS7rX9+bvWFRrD11h7fbV8NMIRYCFcqep/uSOea/SevBWUWSCOXF4/OZSOnpud4nFloUnhdGJUMzZ86kb9++vPHGG3Tq1IkWLbSzFObPn88bb7xRpAEKQn7e3f8u++/sZ0aTGfSs2hOAtjXK42KjJDIhjb1hUbQLKG/iKAWh8GSWVth37Yrc2jrvQsd+gZ2fan9v/VGRJ0IAdu3aFfk1BaG0MSoZ6tatGw8fPuThw4dUrVpV961lyJAhNGzYsEgDFIT82JprW4PiVfG6Y0ozOb3qebHowA3+OnlbJENCmWRR2Rev777Nu0Dof7DlPe3vrT6AloZNhxcEISej+w8cHByoVq2aXvNt06ZNMTMzKr8SBKNk3ZIjq8xZZbtDI4lMEOMahOfM3VOwdhQgQdAIaPmeqSMShDLN6GRo7dq1dOrUCX9/f92xr776iqioqCIJLD+3b9/m5MmTxMfHF1j22rVreitiHzx4kDNnzhR7jELJyLolR1Z+bnbU83FErZH4+9RdU4QmCM9Ek5yc+1idmJuwsj9kpIBfO+j8nVG7zQuC8JRRydCSJUsYO3YswcHBhIeH647b2dnx1VdfFVlw2aWmptK7d2/8/f0ZMmQI7u7uzJs3L99zvv32W3r06MH777+v+5k1a1axxSiUrLySIYBXg30AWHPytlgMVChzIr/7ntBatYmaP//pwbQEbSKUFAXutaDvMlCI1nhBeFZGJUPfffcda9euZcaTFUszde3alT///LNIAsvNZ599xvHjx7l27RqXL19m5cqVTJw4kWPHjuV7XqtWrfRahn7//fdii1EoWfklQ11qe2CjVHA9OokTN2NKOjRBeCbq2CcLLtpqx8UhSbBxAkSFgp0nDFwNFmJDYkEoCkYlQ9evX9cNlM46ZsjJyYlHjx4VTWS5WLp0Ka+99hoeHtoVVXv06EFgYCBLly7N97zU1FROnz7NtWvX0Gg0xRafUPLszPNOhmwszOha2xOAP09ElGhcgvCsMrKvPn18IVxcB3Iz6Pcb2HuaLjhBeM4Y1b7q6enJpUuXCAoK0kuGtm7dSpUqVYosuKzu3bvHw4cPCQoK0jveoEGDAscAbdu2jYiICB48eICFhQW//PILnTt3zrN8WloaaVl2bjZkbJJgGhXtK9LTrydVHLWvu1Whqzjz8Onr4bGNCkvPaLZFwlt73Pmi2QyszfOZqiwIpYTevmS3T8C2Jyv7d/gcvBuYLjBBeA4Z1TI0ZswYRo4cyd69e5HJZISFhTFnzhzGjBlTbOsMPX78GAAXFxe94y4uLrr7cvPyyy9z9+5dzp07x/379xkwYAB9+/bl2rVreZ7z1Vdf4eDgoPvx9vYumgchFLkaLjWY0XQGw2oOA+Bc1Dm23Nyi+zkWuQtzhxDkdiHsjNhGuib3xeMEobTJXPVZYSmHNcNBkw4B3bVbbQiCUKSMahmaOnUq8fHxdO7cGbVaTfXq1bGwsGDKlCm8+eabRR0jAObm5oC2yyurlJQUlEplnuf17NlT97tCoeCrr75i4cKFbNy4kbfeeivXcz744APefvtt3e34+HiREJURXSt3JbBcoN6xI9ei2XbxIZ6OlliaWZooMkEwnCRJTzdpPfE9xN8B5yrwyo9i5pggFAOjkqGkpCS++OILpk2bxsWLF9FoNAQEBGBnV3yD+by9vZHL5dy9qz9N+u7du/j4+Bh8HYVCgYuLS47rZGVhYYGFhYXRsQqm09SrKU29muod6+idxrYju7gVI3E9Mo0aHuJvK5RuUkoK0pOuerO7u8FSqR0nZGlv4sgE4flkVDeZvb32P6S1tTXBwcE0bNiwWBOhzLqaNGnCxo0bdceSkpLYuXMn7du31x27evWqbgyRJEmkpKToXefKlSvcunWLwED91gPh+eVia0H7gPIgT+XtPVMY9N8g1Bq1qcMShDxJGRnYv9waG690ZGYStJ6mnUovCEKxMKplqHz58jx48AB3d/eijidfn3/+Oe3bt+eDDz6gcePGzJs3Dzc3N0aPHq0r8/XXX3P06FEuXLhAeno6QUFBvPbaa9SsWZOIiAi+/PJL6tWrx4ABA0o0dsG0+tX3ZvP5u9xRHedOtJqHyQ/xtBWzcYTSSWFri1fdm+AUBd6NoMkEU4ckCM81o1qGxo8fz7vvvktiYmLBhYtQy5Yt2bNnD7du3WLOnDnUrFmTgwcPYpu5DgdQtWpV6tWrB4BSqWTXrl1ER0cze/Zs9uzZw9SpUzl06JDoBnvBNK/qiqeDDWqVMwC34m+ZOCJByMfR+XDrEJjbQM8FIFeYOiJBeK7JJCOW5g0ICODy5ctYWlri7e2dYwDzhQsXiizA0iA+Ph4HBwfi4uJ0XYRC2fPDjnAWhX2Emd1lpjWcxqvVXzV1SIKQU/QVND82RaZJQ9Z9DgQNN3VEglBmGfr5bVQ3WdZuKUEoK/oGVeCXC9qlGS5GXoPqJg5IELKTJNj0FrHhZjw87YJDWiieQQWfJgjCszEqGZo8eXIRhyEIxc/b2ZrKDpW4w0FO3gsv+ARBKGkhq+DmAdTpTgDIbcQCoYJQEozetV4oAqpkUGeYOooXSodq2lmEd5Nuo9aIzVuFUiTpkW6V6QwXbXOQbisOQRCKlUiGTGnLu7C4HUSGmjqSF0avWnVAkpORIWdfeKSpwxGEp7Z/BCmPoXwgakvtIq8KRycTByUILwaRDJlKYiRc3gT3zsAvLeDQHBBr3xQ7H3svejkvJ/nGW6w5ecfU4QiC1o39ELISkEHX2ahj44An+5IJglDsjEqGsi9kKBjB1g3GHYWqHUCdBjs+hiUd4VHee6YJz04mkzGgQSUAdlx6SHRiWv4nCEJxU6fDf1O0vwePAu/gp1txiGRIEEqEUcmQh4cHY8eO5fjx40Udz4vF3gNVy1mkNZhBWqoDaZdOkfZdG9IOrCHtxg3dRo1C0arubk8db0cyNBLrTue9LYsglIgTiyE6DKxdoM10gKfJkBgzJAglwqjZZPPmzWPJkiU0atSImjVrMnLkSAYPHoyrq2tRx/fcuz16DKrr1wGbJz/Auo+1/5qZUXndP1hUrWqq8J5LW25sIaXcryhTvfjrpC2vNfdFJja/FEwh6RHs/VL7e5vpYOUIgE3zZmRERmEm3lMFoUQY1TI0ZMgQ9uzZw9WrV+nRowezZs3Cy8uL3r17899//6FWi7EvhpLb2iK3t9f+2Nkht1QgN9cAUK5DNeSWViaO8PmTnJ7M/dRwzK3ucjUykVO3YkwdkvCCSbt+nbSrV0lb9T5pD5NIM6tBmn1T0q5eRXXnLp5ffIHPooWYl3czdaiC8EIwagXq7DQaDT/99BNTpkxBpVLh6enJxIkTmTx58nOx7UWJrkAtSbDvG9j7lfZ2/ZHQ5QcQLRdF5sSDE4zcNhIrmRuRl96m10te/NC/rqnDEl4gYfWC0CQn53qfVVAQlf5YUcIRCcLzydDP72eaTZaYmMiSJUto0aIFkydPpnnz5qxatYr33nuPX375hVdfFdsdFJpMBq3ehx4/AzI4uQS2fahNkoQiUdG+IgCpUjSQwabz94lNVpk2KOGFonB0RGElR2GhRmFthsLJ6elPlr0WBUEoGUaNGTp48CBLlixh9erVODg4MHz4cJYvX46vr6+uTP/+/fHx8SmyQF84dQeguh9FyuovsFUtQGFmCW0/Fi1ERcDVyhUrMytSMlLw80rn6l0z1p25y4imvgWfLAhGuj/9Y2TmZpQbPx6/+W/DnwPBzBLGHweniqYOTxBeaEa1DLVq1Yro6GhWrVpFREQEX3zxhV4iBFC+fHlGjBhRJEG+qG7/tJ17R5xJjlLCwR/gwPemDum5IJPJ8LHTJupNq2vHZ608FkER9BgLQq4kSSL2n3+IWbkKSZUGOz/V3tFonEiEBKEUMCoZun37Nhs3bqRbt24oFIo8y/38889GByaAVa3aAKQ6ddQe2D0TLm0wYUTPj8yuMi+3JKzMFVwRA6mFYqRJSoInE0sUNzdDdDhYOUOzyaYNTBAEwMhkyN3dnYiIiBzHIyLEt+uiZFlLu49WymMLaDRee3DdG/Dgggmjej5UdqyMt503Nkol3ep4ALDyeM7XtCAUhcwVpWUWFsgPf6c92OJdsHQwYVSCIGQyKhmaO3cuP/zwQ47jP/zwAz/++OMzByVoZbYMpZw/j9TuM6jcCtKT4M8B2vVJBKONrzuezb02M6jGIAY00HaZ/XfuPnHJ6SaOTHgeqeNiAVBYKSDhPjj4aFebFgShVDAqGZo9ezZvvfVWjuOTJ09m7ty5zxyUoGXpXw2ZuTmauDjS796DPkvBqRLERsCaYdpl/IVncjvhNhbW96nsFUu64jYLjuzj8qPLuh+NpDF1iMJzQBP3ZK8xErQH2nwEZmV/2RFBeF4YNZvswYMHWFtb5zhubW3NnTti88uiIlMqsQioQWrIOVLOnUfZrSu8ugp+bQc3D8Der6HtdFOHWaZ9f/J7dkXsAnuwsYc/7mh/Mp0afAqlQmm6AIXngjozGTLPgPK1oFZfE0ckCEJWRrUM1atXj19//TXH8UWLFlG3bt1njUnI4mlX2TntgfIB0H2e9veDP0DEMRNF9nxwsHDAzcqNclauSBn2aNLtcVSWw83KDTcr7eq/dxLu8NvF3/jnyj8mjlYoq9QPtOPR5EoNtPsU5M+0xJsgCEXMqJahzz77jE6dOnHkyBFatGiBJEns37+frVu3smXLlqKO8YXm0LMH1g2CsapT9+nBwN4Qvg3O/QXrRsPYg2BhZ7IYy7LPmnym+/2j9edZcTSClrXcmT8gSHc8Ij6C705+RzWnavSq2ssUYQplnKNLKHY974NnA/Bra+pwBEHIxqivJ+3atWP37t2o1Wq+//57Zs2ahUajYc+ePbRr166oY3yhWdWsiX2HDjn3KOr8LTh4Q8xN7QrVwjMb3Eg73X7bxYc8jE/VHbdValcETlQlmiQuoYyLjUB2djlmFhJm3cTCqYJQGhnVMgTQvHlzmjdvXpSxCIVh6QA9f4ZlXeH071CtE1TvbOqoyrTq7vYEV3LixM0YVh2PYHK7agDYKbWtbgmqBFOGJ5RV+/4HmnTwbQmVmpk6GkEQciE6rsuAlPMXiF6wgMQDB/XvqNQMmryp/f3fiZAiFg18VpmtQ6uOR5Cu1s4ky0yGEtMTxewyoXAeXYOzK3kUasODCz6knD9v6ogEQciFUS1DERERTJo0iUOHDvH48eMc92dkZDxzYMJTCbt28ujnX7Bp3hxNaorefVa1xmIevh2iw0hf8yEpHr2QW1lj06ghMjOjG/5eWB0D3Slnq+RhfBq7Lj+kY6AHtubabjIJieT0ZF23mSAUaN83IKlJfOxB8tldWLftilWtWqaOShCEbIz6tBw5ciQqlYo5c+bg5ORU1DEJ2VjV1s4oSzpwgKQDB/Tuq7BgPuZdvoffupK0az33j+0FwPWdtyn3+uslHWqZZ2GmoH+wNz/tucbyo7foGOiBhcICc7k56Zp0ElQJIhkSDBMVDufXAKBWOAPJKOztTRuTIAi5MioZOnr0KFevXsXd3b2o4xFyYdOsGfavdCP9ds41nBQODuBbD2q/itm9dVi4KEh7pCZ27VpcXnsNmRisWWgDGviwYO81Dl19xNXIBPzc7LBT2vE49TEJ6Ql44GHqEIWyYP+3IGnAvzPq3fcAkDuI7TcEoTQyKhny8PBALtbJKDFypRKv//0v/0IdPsc2fAvWrncI3+RD+q0IUs6cwbpevZIJ8jlSwcmadjXKs/3SQ5YeuskXPWvxQ6sfMJeb423nberwhLIg+ipcWKv9veV7qL8eDoDCwdFkIQmCkDejMpqRI0cybdo0VCpVUccjGMvWFdp+gtxcwr5CMgBx69abNqYybERTXwD+OX2XuOR0gsoHUdu1NlZmViaOTCgTDnyvbRWq1hGNc3WktDQAFI6iZUgQSiOjkqHly5fz66+/Uq5cOWrWrElgYKDej2AiQcPBsx4OPtql/+O3bEGTmpr/OUKuGlV2prq7HSnpav48IXazFwrh8XXtgqgALaeijovX/q5QILexMV1cgiDkyahustGjRxd1HEJRkCug83dY322DmXUGGYmJJO7fj32HDqaOrMyRyWSMbOrL1L/P8fuRW9Ss8pCrseHUK1+P2q61TR2eUJod+AEkNfi1B68g1OHhACjs7cUYPkEopYxKhiZPnlzEYQhFpkIQssCeuN/dgqJyPazatzd1RGXWK3U9+XprKHdjU1hydjMnHm1j4ksTRTIk5C3mFoSs0v7ecioAFn5+VD1yGE1SsgkDEwQhP880CjolJYXLly8XVSxCUWn7MXY+aqxVh5Hd2GfqaMosS3MFAxv4AHDtoRoQq1ALBTg4CzQZULk1eDcAQCaXY+bkhLKCl4mDEwQhL0YlQ4mJiQwePBhbW1sCAgJ0x/v168epU6eKLDjBSM6VIXiU9vcdH4NGrJpsrCGNK2Iml3H/yeLeCekiGRLyEH8PzqzQ/v6kVUgQhLLBqG6yDz74gLt373LixAmCgp7u7j18+HA+++wzNm7cWGQBCkZq8S4ZR1YR/e9NYmbVxKZp0xxFLGvXwm3SJN3tOxMm4jx0CNbBwSUZaalW3t6SzrU82BJhCYjNWoV8HPlJuweZTxOo2ER3OGHPHpIOHMC6QUPsO75swgAFQciLUcnQunXr2L9/P5UrV9Y73qhRI/r3718kgQnPyKYcsiZjifvnNwCSDh3KUSTrdh1p12+QsGMHmrRUfEQypGdkM182r9BOqY9OjjVtMELplPwYTi7V/t78Hb27Us6cJWblKlCYiWRIEEopo5Kh6Oho3NzcAPRmR6SkpCBJUtFEJjwzRZvJVOr+G6l3Y6DuIKjcUu9+M7fyut9Vt24CoH4sNnvNrq63I1XLleMOcOPxI1OHI5RGxxdCehK41wa/tnp3qeO0S10oxOrTglBqGZUM1a1bl82bN9OvXz+9ZGjOnDk0bNiwyIITnpHSGotub2Gx9T2QtkHnr8BMmWvRzJVxM9+4BX096/gx7zJEJ8cRl5KOg5W5qUMSSou0RDi6QPt7s7cg2/R5kQwJQulnVDL0+eef06tXLw4fPgzAN998w9atWzl06BC7d+8u0gCFZxQ0DA7+AHG34ewfUH9ErsUyV8ZVx8aWYHBlR//aDfnj2Jvcjpax8lgEb7SqYuqQhNLi1DJIjQXnKhDQPcfdmvgnyZBYfVoQSi2jZpO1a9eObdu2cePGDdzd3Zk9ezbW1tbs27ePZs2aFXWMwrMwt9J+WwXtYnAZuW+honB0BECTkICUkVFCwZUdDpYOTGzSBU2aF0sP3SAtQ23qkITSICMNjvyo/b3pJO3Cp9moY0XLkCCUdkavM9S4cWM2bNjA3bt3uX//Pv/99x+NGzcuytiEohI0HGzLQ1wEhKzMtYjC3l73uzpBTB/PTbc6nrjbWxKZkMaGM/dMHY5QGoT8CQn3wc4T6ryaaxFdN1mW/2OCIJQuYuv5F4G5FTSdrP39wPegTs9RRGZmhtzODgB1TGzJxVaGbLqxnpdqhYAsjV/2X0OjEZMFXmgaNRyarf29yZtgZpFrscxkSC5ahgSh1DJqzJC7u3u+9z948MCoYIRiVH+EdnXc2AjtdgH1huYoUv6DD5CZm2FWzsUEAZZ+Xx//mpSMFOxs3udaVBLbLz2kY2D+/xey2npzK58c+gSVWttV+V2r72jro515tPn6ZqYdnKZXPqBcAMs6LsNcLgZrl0qX1ms3ZbVygnrD8ixWZcd2NHFxmHt6llxsgiAUilHJ0Hfffad3W6PRcOXKFebNmyf2LSutzK20Yxq2T4NDc7RT7bONb3Ds1dNEwZUNdko7UjJS6FrXmVUHNczbfYWXa5Y3ePPN7Te3k5yRZX8qKeuvEhmS/litc1HnuJNwB18H36IIXyhKkgQHZml/bzgWLGzzLGrm5AROTiUUmCAIxjAqGRo8eHCux5s0acLcuXOfKSChGAUNh/3/g0dXIWwz1Ohm6ojKFDtzOyKJpG1NOzYcT+TivXh2h0bStkb5gk8GopKjAPi08ac0r9Ace+XTMSRtfNqwq+8u3e1BmwfxIOkB8ar4on0QQtG4uhMengdzG2gw2tTRCILwjIp0zFCLFi04evRoUV5SKEoWthD8mvb3Q3O0326zSLt+g4Tdu0m7csUEwZV+tkrtt3+ZPI2hjSsBMGfXFYMXGo1K0SZDVRyr4GbthqWZpe4+KzMr3KzddD9OFtqWhLg0se5TqXTgB+2/9UeAtXOexdJu3OD+Z5/xaOmykolLEASjFGkytH37dmxt824uFkqBBmNAYQF3TkCEfuIa88cf3Bk3nrj//jNRcKWbnVI7wDxeFc9rzX2xMldw7k4ce8OjCjxXkiQikyMBcLN2K7D8hJcmMKvVLAJcAgosK5SwiKMQcRgUSmj8Zr5FVbduEbvqT+I3bSqh4ARBMIZR3WStWrXKcSwmJobz58/z/fffP2tMQnGyKw91B2gXijs0Byo+XQ4hcx0UsQp17uzMtclQYnoi5WwtGNzIh0UHbjBn5xVaVXPNd+xQSkYKVRyrEJkcSTmrcgXW1bxC8yKLWyhima1CdQaAvUe+RTVi9WlBKBOMSoZyW1jRycmJ5s2b06BBg2cOSihmjSf8v737Do+iahs4/NuW3juQRgih11Ckd0GKCiqIIKAoooB+ioq+vOqLFRQL9q4IKiCKSJPeOySU0EKAhCSk97rZ7M73x5CFJVmyCek593XlMjtzZvbsEHefPXPO88DxpRC5CZLPg1dr4EaGXIMIhspUcpssp0jOw/Rk/yB+ORjDidhM9kWl0q+lp9lj7TR2/DHmjxrpp1CNEk/Dxc2gUMoLEsqhz5LnfIns04JQt1W6HIdQj3kEQ+tRcH49HPwM7vsCuJGFWpTkKNuEVhMY4j+EQOdAALwcbZjUM4Af91/h462R9A32sHhlWXmis6I5l34Obztvunp3rZJzClVg3/UVZG3vB/fyS7IYcwyJhIuCUKeJpIuNVUkSxpMrIUfOC2W8TZYpRobK0sqtFX2a9aGZQzPjtpkDgrDRKAm7msn2c8lV9lw7Y3fy8p6XWR25usrOKdyhtEtwZo38e78XLDrkRpFWl2rqlCAIVaFSwZCPj4/FP0Id5dcd/O4Cgw6O/QiIOUOV4eVkw2N95DxA728+j95MVuqlZ5Zy79/38lPETxad19la/rfIKhL/FnXGgU9BMkDLu8Gng0WHiIr1glA/VOo22VNPPcWiRYuYPHky3bt3B+Do0aMsX76cefPm0aZNmyrtpFBN7poJsYfkYKjfXHGbrByJeYkcuHYAe409wwOHG7fP7N+CXw/FEJmUy9/h8TwQ6lvq2NicWK5kXSFXl2vRc5XkIMrWijxDdUJ2Apy4Xtevr2WjQgD6rExABEOCUNdVKhjau3cvv/zyC+PHjzdue+qpp7j77rv55ptvWLBgQZV1UKhGrUeDUzPIjoeIv1CH3If3/PmoXFyQJKnK5r80FJEZkbxx4A3auLUxCYac7TQ8MyiYhZvO89HWSEZ3aoK12jS7t3FZvW35y+pBjAzVOYe+AH0R+PcyWYFZnmYffIA+IwOVyEAtCHVapW6THT9+nBEjRpTaPmLECI4fP37HnRJqiEoD3afLvx/+GqWtLW6PTsZ5zGgRCJWhJM9QWaM7U3sF4u1kTXxmAcsPXS21vyT7tCU5huDGyJBIulgH5KfDUflWckVGhUAeEbIKDBQjQ4JQx1UqGHJwcGBDGYn51q9fj+P1yudCPdF1GqhtIOEExB6u7d7UacY8Q0WlgyFbKxX/NzQEgC92RpFTqDPZn1xgecJFuDEylF2UbXGGa6GaHPkOdHng3QFaDqvt3giCUA0qdZts/vz5TJs2jU2bNtG9e3ckSeLYsWOsXLlS1Carb+zdocNDEL4MDn9NQbYjxclJ2HbsiNqj/OSAjcnNeYbKuo34UKgv3+25zOXUPL7cdYl5I+T8TXqDnrSCNAA87cznIrpZychQsaGYguIC7DR2VfUyhIrQ5sLhr+Tf+z0PFRgxlSSJpLfeQunkhMeMGSjtxL+hINRVlRoZeuaZZ9iwYQNpaWl89NFHfPzxx6SlpbFx40aeeuqpqu6jUN16Xv83O/sPiW/8l7hnZlFw6lTt9qkOKrlNViwVU6gvLLVfrVLy6kh58cAPe68QnZoHQIY2A72kR6lQ4mZjvo7VzWzVtrzZ+00+GfgJamWlvrMIVeHYj1CQAe7Bcm6hCjDk5pLx2++kff0NKEUWE0Goyyr9Ljt06FCGDh1alX0RaotPBwjoCzH7UEnyHBV9Rmbt9qkOslPboVQoMUgGcotysVXblmoztI0X/Vp6sPdiKm9vOMv3U7tToCugjVsb9JLe4sBGoVAwtuXYqn4JQkXoCuHg5/LvfZ8Hper27W9Rkn1aYWOD0samnNaCINSmO/q6UlBQwLlz56qqL0Jtuj46pNLGASLXUFkUCgUOGtOSHGW1eWNMW9RKBdvOJbM7MgU/Jz9WjVnFn/f+WZPdFe5U+DLITQJnP+g4ocKHi2X1glB/VCoYys3NZfLkyTg4ONC27Y2q2uPHjxeryeqrViPBsSkqZQEggiFz3u37Ll8P/Rpve2+zbYK9HJnaOxCABevOUFRsqNRznU45zaYrm4jNjq3U8cId0Otg//X5j32ek1deXqe7do2cHTtMfnJ37zY5PD88nLw9ewARDAlCfVCp22Svvvoq8fHxHD16lNDQUOP2adOmsWDBAv75558q66BQQ1RqCJ2K6uBngEi8aM4AvwEWtXt2SEv+Do/nckoevxyM5ol+QRV+rm9PfcuuuF280esN/Jz8Kny8cAdOrYKsq2DvBV0mGzdLxcVcGT8BfWqqSXOlvT2tjh8zPk79/Avy9u8HbtT8EwSh7qpUMLRmzRr27NlDUJDpG/xdd93FhAkVH04W6oiuU1BZXw+GkkrnyhEs52yr4eURrZj352k+CV/Mn8lXmdnpSe4Lvs/iczhZX89CXSSyUNcogx72fST/3ns2aG7MDdNeuoQ+NRWFRoPNTaPiClvT+WNWLYIw5OaCWo3b44/VSLcFQai8SgVDqampeHnJ+VJuXl5cUFAgcqLUZ05NUQV2guNX0MdH1nZv6qQTySe4nHWZdu7taOXW6rZtHwr1Y+XRWM4ZUojLjUFn0N22/a1E4sVacvZvSIsCGxfo9rjJrsKIMwDYdulCwC9LzZ7C5z//qcYOCoJQ1So1Z6hz585s3LgRMA2GlixZQs+ePaumZ0KtsL1nGt5dM3H3j5VzrAgm/oj8gzcOvMH+a/vLbatUKlj4QEeUGnlkJzqpYt89jCU5RDBUcyQJ9l4fFbrrabA2TSJr06E9ns89i/P999d83wRBqDaVGhl6++23GTduHAcOHABg0aJF/Pvvv+zfv58dO3ZUaQeFmmXV5yHcwhfJ34xPryr1zbixK2812a1CvB2xs8uj0AC/HchketciXO2tLDrWWKxV3CarOZH/QlIEWDlAjxmldtuEhGATElILHRMEoTpVamRo6NChbN68mStXruDj48Mnn3yCnZ0du3fvpm/fvlXdR6EmKRQ3AqCjP8jflAWjksSLlgZDOoOOQoM8spORbcs7Gy1PRWEsySEq19cMSYI9i+Xfu08HO8sSZAqCUP9VKhhavnw5vXr1Yu3atcTHx5OQkMCGDRvo1cvyas6VtWrVKvr06UNwcDBjx461KM9RZY5prCSDgXxDW3ISHJESIiDuaG13qU65XbHWspSU4VApVGCwY/XxOPZEplh0rKhcX8Ou7Ib4Y3Ktvl6zS+3WJSaSs20busTEWuicIAjVqVLB0GOPPYbBULncKXdizZo1TJo0iUcffZQ///wTR0dHBgwYQEqK+Q+XyhzT2MU8OZu43Y4Ua5UQZn6SaGNU0ZGh5Hy5QKunnSdTe8mrL1/84yTpeUXlHhviGsKbvd/k+a7PV7K3QoWUjAp1nQIOpQvq5u7dS9zsOVx75dUa7pggCNWtUsFQq1atOHnyZFX3pVxvvfUWU6dOZebMmXTq1Ikff/wRSZL46quvqvSYxkyhVBqTxBmKlBDxFxSK2zQlSuYMlVW5viwGyUAbtzaEuIYwb0RrWnjak5yjZd6fp8pdeell58XYlmPp3az3HfdbKEfsEYjeC0o19H62zCbGlWTt29VkzwRBqAGVCoZmzZrFI488wurVqzl79ixRUVEmP9UhOzub8PBwhg0bZtymVqsZMmQIe65neq2KY4QbGXP1NgGgy4cIUUaihHFkSGfZyFBnr86sGrOKL4Z8ga2ViiUPd0GjUrD1bBIrjorM0nXG7vfl/3Z6GFzKTnBZeEYOhmzat6+pXgmCUEMqtZrsmWeeAeChhx4qc3915BqKj48HwMfHx2S7t7e32VGqyhwDoNVq0Wq1xsfZ2Y1rZKQkY66+2QBIvQRhv0A3kTgO5FtXH/T/AHdb90od376ZMy8Pb807G8/x5rqz9GjuRgtPB7PtD1w7QJY2iwG+A7DT2FW228LtxB6FqK2gUEHfF8psYigqovDCBUAEQ4LQEFUqGLpy5UpV96NcJXOU1GrTLms0GvR6fZUdA/Dee++xYMGCO+luvWYcGXLtBOkauBYGiafl6vaNnLutOyOaj7ijc0zv25zdkSnsi0rluRXhrJ7ZGxtN2RXRX9z1Ijm6HP65/x+aOze/o+cVzNi9UP5vp4fBvUWZTbSRF0GnQ+nsjKZZsxrsnCAINcHi22SdO3c2/r5ixQoCAwPN/lQHT09PQM5+fbPU1FTjvqo4BuTaa1lZWcaf2NjGdTtD5XI9GCrUQ+tR8sawX2qxR/XX8zufZ8yaMeyL32fcplQq+HB8J1ztNETEZ/P62gizo6klJTlE4sVqEnsEorbJo0L9XzTbrDAiAgDbdu1MEs0KgtAwWBwMnTt3Dp1OLifw6qs1v5rCy8uLgIAA9u83zfy7b98+evToUWXHAFhbW+Pk5GTy05gYb5NlZskrawBOrQRdQe11qo6QJImtMVtZc3ENhcWF5baPzo4mOjsapcL0fzVvJxs+m9gVpQJWHYvj18Nl14Iz5hoSiRerx6735P92nghu5ovpivlCgtCwWXybrH379syYMcMYRHz99ddm286cOfPOe1aGWbNmsXDhQiZNmkSHDh34/PPPuXr1KjNm3MgU+/LLLxMWFsa2bdssPkYw5Th0KBo/f2w7doCg9uDsL1fwPvsPdGrchXgVCgWv7HmFIkMRPZv0pKlD09u2TymQUzh42ZZeqt23pQcvj2jNwk3nWbDuDG2aOBEa4GrSRtQnq0ZXD8OlHfIKsv4v3bap+1NPYdezJ9bBZd9GEwShfrM4GPrxxx+ZP38+S5YsAWDx4sVm21ZXMDR37lwSEhK46667UKlUODk5sWLFCtq0aWNsk56eTuJNSdEsOUYwZde9O3bdu9/Y0PVR2PmOfKuskQdDAA5WDqQXphOddWPEx0Zlg4uNCyCPHiXlJ6HT64xBjKdd2bdln+ofxOm4LDacTuDp5cdZP6cvXk42xv1iZKga7XpX/m/nR8A18LZNrXybYeUr5goJQkOlkCqx9EuhUNRqdfqioiKysrLw8PAodf8+IyODoqIivL29LT6mPNnZ2Tg7O5OVldXobpkBkBUPn7QHyQCzj4NHcG33qFaNWTOG6Oxok20jm49kUf9FgFyCo+uyrsZ91iprjk46avbvLk9bzP1f7Odici4dmjmzYsZd2FvL31PeOvgWqyJX8XSnp3mm8zPV84Iao+j98PNIeVRoThi4BtR2jwRBqAaWfn5XKs9QRkZGpTtWFaysrPD09Czzw8XV1bVUIFTeMYIpQ14e+ceOkXfokLzBuRkEX8/VFC4mUo9sPhIblQ1WSivjj1ppOsh68777Wtx32787e2s1303phpu9Fafjs5j9WxjFenklpBgZqgaShLT1fyQcc6bIb5wxEMr65x9ipk4r9XOhW3eS3ltI4fnztdxxQRCqS6WW1rtcn2ArNEzaK9HETH4Utbc3LXfvkjd2nQIXN8OJ32Dwa6DS1Gofa9PTnZ/m6c5Pm92vUWo4/ujxCp0z0MOe76d2Y+K3h9h5IYXX1kbw7tgODPYfjJ+jHyGuolJ6lYncTOGpcDKjPLHV9MLq+mbdtWvkHz5c5iHpS5ei8nDHpnXrmuunIAg1plLBkNCwGZfWZ900aTdkODh4Q24SXNgEbe+tpd41XF39XflsYhdmLj/O70diaepsy5wh7WnvIVYwVRmDAba/SXGhPCietuIvXCY/DsgLB6z8/cs8TGFri0OfPjXWTUEQapYIhoRSSpbWS4WFGAoLUdrYyCNBnR+BfR/LE6lFMFQt7m7nw//ubcfra8/w4dZInGw1TO0dWNvdajgiVkPyGfR6OYP4zQkUrYODsQ5u3PPhBKGxqtScIaFhU9rbg0rOiGwyOtTlUfm/UdsgK64WetY4TOkVyOxB8ofyG+uP89b2v9gTJ2rp3bHiInlVJFDs0xcAtYvr7Y4QBKGRsHhk6MSJExaf9OZs1UL9o1AoUDk7o09PJ+PX3/CcMxuFRgPuLciVQim6eB4+nA/BQ43H2PfpjXULkYOlqsy9O4QivYHvD+9nVdwSNiS4cGjy3truVv0WthQyosHeC711a+AoKlcRDAmCUIFgqEuXLhaftDaX3QtVQ+3hgT49nbRvv8Xj6ZlyMARkJ3iTFZYAYUeAI8b2Vs2b02LTxlrqbcOjUCh49Z7WZBalsCkLcouzWXX0KuO7lz2nRShHYTbsllMfMOBl9H9dBkDl5laLnRIEoa6wOBhKSUmpzn4IdYzXvJfJWvO3POFUdaOIqE2/e5Bij4G+CAL7YrByJXfbdori4pAkSaQuqEIKhYL/jerGpt9AoTDw8l/HyC/SM62PKNhaYfs+hrwUcA+G0Gnof5gDgMrVpXb7JQjliEiNYG3UWgySwWS7UqFk/l3zjY9Xnl9JZEYkfZv1ZZD/oJruZr1ncTDk4eFRnf0Q6hiHPn3KXD3j9ugUcI+AI99AWxWG0e9z+f6xqJydkYqKUFhb10JvGy5btS0apQadQYdCVcD/1p0lq6CYZ4cEi8DTUhkxcPAL+fe73waVBruePVHa24lbu0Kd98HRDwhLDiu1Xa1UmwRD+67tY1fsLv6O+pvdE3bjYOVQqeczSAa2xmw1WwKorXtb4wrX7KJsDiccZqj/0Hr/flTp1WTZ2dls2rSJy5cvGwu3nj59mnbt2qFUinnZDVrXR+Vg6PxGlKPyCd6yubZ71GApFAqcrZ1JLUjl0d6e/LJHx8fbIskq0PHfUW1QKuv3G1CN2L4A9Fpo3h9CRgDg/vhjtdwpQbBMUn4SAA+GPIiX3Y0ah8pb1j+NbD6S8+nnScxLZE/cHkYGjazU862NWsvrB143u39GxxnGYCi1IJUXdr3ABwM+YETgiEo9X11RqWDo7NmzDBs2DLVazdWrV43B0EcffcSQIUOYPHlylXZSqGN8OkCTzpBwQq5m32tWbfeoQXO2koOh0V1caO7syYJ1Z/lx/xWSsgv5cHwnbDSq8k/SWMUegYg/AQXc/Q7U82+vQuMzq/MskvKTGBs8Fndbd7Pt7ml+DxczLvLd6e/YGrO10sFQjyY9eKzdY/wd9TddvErPFQ5yDjL+vjla/iK84+qOeh8MVao22fDhw+nRowdvvfWWSZ2ysLAwpk+fTnh4eJV3tDY1+tpkZTn6PWyYC55t4JmD4kOmGk3ZNIXw5HA+GvgRwwKGsSY8jpdXn0KnlwgNcDWW8hBuIUnwwzCIOwpdJsN98q0yyWBAn5mJytkZhUoEkkLDcT79PA+tewhrlTV7JuzBTmNXrc8XnhzOlE1TcLJyYs+EPaiUde//p2qtTXb48GFefPHFUttbtWrF2bNnK3NKob5p/yCobSDlHAkvziJq8BCyt2yp7V41SFPbTuXN3m/S1r0tAGO7+LL08R442qg5HpPBuC/3cyU1r5Z7WQed/kMOhDT2cgmZ64pTUrnYuw/nO3dBMhhucwJBqF9aubbC18EXrV7L3vjqT8XRwaMDTlZOZBdlczr1dLU/X3Wq9OSewsJCAJNJU1FRUaJuWWNh6wJt7wNAH3MG3bVrFIsVh9ViSMAQxrYcSzOHG9mSe7fw4K+ne9PMxZbotHzu/2I/B6JSa7GXdUxBJmy+Prm0/1xw9DHu0mekA6ByckIh5jcKdViWNouD1w4SlRFlUXuFQsGwQLmo9vaY7RV6LkmSWHBwAdtitqEz6Cw6Rq1U06epvNCmvieGrdQ7wfDhw3nvvfdMllInJiYye/ZsRo6s3H1KoR66npFapZWzUZtkqxaqXUtvR/6e1YfOfi5kFeh49McjLDsUU9vdqht2vgt5yeDeEnrNMdmlz8gAxLJ6oe47m3aWGVtn8PLely0+5v7g+3mv33u81uu18hvf5ETKCVZHruY/+/6DTm9ZMATQz7cfQI2MRFWnSk2g/vDDDxk8eDBr167FYDDQq1cvTp48iZ+fH6tXr67qPgp1VWBfcG2OSp0KWKHPzKztHjVISXlJhCWH8dfFv2jtVrpq+tMjO7PpcFP+PnGN1/45yqaYlfw47v+w0TTSeUTXTsDR7+TfRy0Gtel1KE6XR4bUriLholC3ZRTKgburteWZ0oOcg0wmOVvqn0v/ADAsYFiF5hr1adYHBQrOp58nKS8Jb3vvCj93XVCpYMjX15cTJ06wcuVKjh07hsFg4PHHH2fSpEnY2VXvhC2hDlEooMtkVAc/AhDBUDU5cO2AcanroYRDpfY/2vZRPp7wEi29Hflw9zZOFy5j/C9uLJs4FWc7TU13t3YZDLDhBZAM8ry2oIGlmugzMgFEKQ6hzsvQysGQi7VLtT6PVq9l8xV5Zdi9LSpWhNvNxo2RQSPxtPWsjq7VmErnGbKzs+Oxxx7jscdEvo5GrfMjqKyvB0PJ12q5Mw3T8MDhpBemm02C1tW7KwqFglmDgtmR+TaR2XA2OY77v9zP91O70cKzcsnX6qWwpRB/HKwcYfg7ZTbRXx8ZUrmJYEio24wjQzYV+1vV6rUsO7uM/fH7+WbYN1ipbj9KvCt2Fzm6HHzsfeju073C/VzYb2GFj6lr7ijpYkREBOnX31huNnr06DvqlFCPODVFFdARDsegT7xS271pkOw0dkzvMN2iti09fIjMBhcHPVfi87j/i/188UhX+ofU729tFslOgG1vyL8Pnm8yafpm+sySOUMiGBLqtkxtJlDxYEij1PD7ud9JLkjmsc2PYac2vWPz+l2v4+fkB8D6y+tZErYEgNFBo1EqGueigkoFQxs2bGDSpElkZWVhXUb5hZKVZkLjoA4dg2bjJ2hIBb0OVI3s1kwd4qhxBGB8Dw+OhLlyLCaDaT8d4bXRbZnWO7Dep8w3S5Jg3XNQmAVNu0L3J802tWnXHqeRI7Fp27YGOygIFZdeKA82VPQ2mVKhZETzEfxy9hdOpZwqtT+/ON/4e3xOPIl5iagUqgrfIrtZYXEhx5KO0dShaaXmLNW2SgVDc+fO5bnnnmPevHlijpCA7egZBEd+DHmJcHELtB5V211qtByt5GBITz6/PtmT//wVwZ9hcSxYd5bIpFwW3NsOK3UD/OZ3cgVc3AwqK7j/K1CZf2tzeWAcLg+Mq8HOCULlGEeGKjCBusTsLrPp4tWFQn3pwQkf+xujpoP8B9HMsRkBjgE0d658Eej3jrzHXxf/4sGQB5nadqrJPndbd+N7U74un+T85FLH+zn61WrSxkoFQ3Fxcbz88ssiEBJkKg10ehgOfAZhy0QwVIucrOQMqzlFOVirVSx+qCOtfBx4b9N5fj9ylcspuXw9ORTXhpSxOjsB/p0n/z7wVfAqveJOEOqjSa0n0adpH2PC1YqwVdsyNGBoue1CXEMIcQ2pTPdM9G7am78u/sXqyNWsjjRdVb6g9wLGtZS/gIQnhzNz28xSx+97eB/O1s533I/KqlQw1LZtWy5dukTHjh2ruj9CfdVlihwMXdwCOYlm52sI1avk21dOUQ4gJ2Gb0b8FwV4OPPv7CQ5fSee+L/bzw9RutPR2rM2uVo1bb4/1frbcQ4ozMlA5OqJQV3rKpCDUiCEBQ6rlvMk5hUTEZ5GQVUhStpbk7EJytcWolQpUSiUalQIPB2uaudrSzMWWAHc7/N3sbnubvV+zfnT06MiVrNJzRzXKG1MnVEqV8XZ+XVKpd4Pp06fz6KOPsnDhQoKDg0tdoODg4CrpnFB/xMx9B915P/z7XcPqxG/Q74Xa7lKj5GXnRYhrCE0cmphsH9zam7+e6c30pUe5mp7P2C8P8NnELgxq7WXmTPVE+LKbbo99edvbYyBn2b3YfwAUFxO8ayca7/qZE0UQKiIrX8e/ZxI4cCmNsKsZxKYXVPgczrYaOvo609nPhR7N3ege6GZSJNpOY8evo34t9zx3NbmLA48cqPDzV7dKFWotbxJmJU5Zp4lCreWLGjoMXVwcAUNTsAvxhznHRfHWOig9r4iZy49z5Eo6CgX85542PNGvef2cWJ18Dr4dBMUFMPR/0Pf5cg/R5+QQ2b0HAK1OhKO0sanmTgpC5Wj1Wo4nHsfVxpU27m0qfnyxni1nklh74hq7I5PR6W98LisU0NLLAX83e7ydrPF2ssHRRo3eIKE3SBQVG0jKKSQ+o4D4zAKi0/IpKjat42ejUdKzuTsDQjwZ1tYbP7e6OW3G0s/vSo0MXbkillALplQuLuji4tAX20H6JYg5AIF9artbwi3c7K1YPr0nr6+NYMXRWN7ZeI7IpBzeHtsea3XdqzhtVlE+/PGYHAi1GAy9n7PosJJSHAo7OxEICXVaYl4iT217CnuNPYceKZ1s1Zw8bTG/Hb7K9/suk5StNW5v7ePI8HY+dAt0pZOfC042lq/6LSo2cCExh5NxmYRfzWRfVApJ2Vp2R6awOzKFN9efpV1TJ4a382F4Ox9CvB3q3ResSgVDgYGBVdwNob5TXS/Qq/fqDmyDsF9EMFRHWamVvDeuA618HHlr/Vn+OB5HdFoeX00OxcOhdKqMOunfeZByDhy8Yew3YGHBVb2xFIfIMSTUbSUJFy1dVl9QpOfbPZf5cf8Vsgrk2mLeTtY8GOrLvZ2a0cqn8vN0rNRKOvg608HXmcl3BSBJEpFJueyJTGH7+SSOXEnnzLVszlzL5qOtkQS62zG8vRwYdfZ1Qams+4GRSLooVAljMOTWGTK3wdm/4Z6FYCs+dGpSdlE2kzZMIqcoh+0PbTe7VFWhUPBYn+YEeTow+7cwjkZncN/n+/npse6E1PWJ1af+kINtFDDuO3CwfN5TcYZIuCjUD5bWJZMkiY2nE3lnw1muZcnL6Jt72DNzQBD3d2lWLSO+CoWCVj6OtPJx5Mn+QaTlatl+LpnNZxLZG5VKdFo+3+y+zDe7L+PtZM2wtt6MaNeEnkFuaFR1M7WHSLooVAmVs7wkUi85gFc7SD4Dp1ZBz6dquWeNi63KlujsaABydbnlLlUdEOLJmmf68MTSo0Sn5TP+m4MsfawHnfxcqr+zlZF4Wl49BtD/JQgaUKHDjXXJRCkOoY4rqUt2u+zTUcm5vPZ3BAcvpwHQzMWWefe0ZlSHJqhqcDTG3cGa8d39GN/dj1xtMbsvpLD5TCI7zieTlK1l+aGrLD90FWdbDUNae3F3Ox8GhHhia1V3bs2LpItClTCODGVmwchpsOklOL4UeswQE6lrkEalwVZtS0FxATlFORbl7Qj2cuDvWX2Y9tNRTsRmMun7w3w/tRt3BbnXQI8rICcJfnsYdHnQfAAMmFfhU+gzxG0yoX64XV0yg0Fi6cFoFm46j7bYgLVaydMDWzBzQAuTFV61wcFazaiOTRjVsQnaYj0HLqWx5UwiW88mkZpbxF/h8fwVHo+NRkmHZs509HWho6/830D32y/fr04i6aJQJTRNfNAE+MsjRB0fgq2vyaNDccfAr+KF/4TKc9Q4GoMhS7nYWbH8iZ7M+OUYBy6lMfXHI3w1uSuDW9eRpee6AljxCGTHgXswjF9a7jL6slgFBuI0ahS2XbpWQycFoeqYu02WkFXAi3+cZH+UPBrUP8STd+5vXydXc1mrVQxq5cWgVl68fb9E2NUM/o1IZPOZROIyCjgancHR6Axj+39m96Gjr0ut9FUkXRSqhMuDD+Ly4IM3NrQbCyd/h7CfRTBUwxytHEkuSK5QMATyN7ofp3Vn9m9hbDuXzFPLjvPVpFCGtrU8IJIkCV38NZBMl+Fa+fkZfy9OTcVQIOc50TRtikJVzjdZSYK1syH+GNi4wCOrKj0XzXHIEByHVE8iO0GoSiW3yVxsXIzbdpxP4v9WnCC7sBgbjZL5I9sw+a6AerFyS6VU0D1Qzk/031FtuJSSx8nYTE7HZ3EyLpOo5Fxa+9Re6hqRdFGoHl2nysFQxF8w/D2wEfmZasqtWagrwkaj4qvJobyw6iTrTl7j6V+P882joRaPEF17eR7Z69aV2t7m/Dnj74lvvkXOli0A2HXvTsCyX8yfUJJg+wKIWA1KNUxYBu4tKvaiBKEeGhU0ihYuLeju3R29QWLJ9ot8uv0iAJ18nfloQmdaeDrUci8rR6FQEOzlQLCXAw+E+gKgN0g1Os/pVpUKhmbOlOuKjBw5ssz9DS3polAJ/neBRytIvQCn/4Du02u7R41GSTCUXZRdqeM1KiUfj++EQZLYcCqBmcvC+HZKKANb3X7VlqTXk7N9OyDn8TH3tqawtkZhZ4eUn0/+sWMYtFqUZSzEAGDPB7DvY/n30R9D8/6Vek0l9FlZKO3tRSkOoc7r3bQ3vZv2JjO/iMd/PsruyBQApvQK4L+j2ja4gsu1GQiBSLooVJHilBSuPvUUUkEhLTZtlCdNh06Fzf+B4z9Dt8fFROoaEuAUQFJ+ErZq20qfQ61S8smEzhgMEpsiEpmx7Dg/TO1Gv5aeZo/RRkUh5eejtLcn5Mhhs7e/mn3wvpynpFt3DHl56OLisG5RxmjP/k9h5zvy78Pfha5TKv16SlwZPx5dzFUCfv8Nuy5d7vh8glCdLqfk8vjP8kpPG42Sd8d2YFxX39ruVoMkki4KVUJhY4P2rHwrxFBYKGf37TQRti2AxFMQHwa+obXcy8ZhXo+Kr7Iqi0al5NOJXZj9WxibzyTx1LLj/PbkXXQ2s+xeKijAtmtXVE5O5c4DUigUaAL80Z49R1HM1dLB0JHv5En4AIP/C71mVcErAn369TxDzi5Vcj5BqC4/Hd/MJ1vjycr0wNfVgW8f7UbbpmK6QXVpWONsQq1ROjjA9Q9AfVaWvNHODdrdL/9+7Ifa6ZhwRzQqJZ9N7Eq/lh7kF+l57KcjRCXnltnWtnNnAn/7Fd+vvrTo3FYBAQAUXY25sVGSYPf7sPFF+XG/F+V8QlVA0ukw5MjzqFSuLlVyTkGoDquOXeGjiBcxNPmYDn42rHmmjwiEqlmlgiGdTscHH3xAjx498PHxwcPDw+RHaHwUCsWNxIuZmTd2dH9C/m/En5BfOlu5UPdZqZV8PTmUTn4uZOTrmPrjERKyzFe9tnRli5W/HAzp067/XeiL5YSKJbfG+r0ojwpVEePfpVJp/FsVhLpEkiS+2BnFvL9LapEpWfnkIDwd60mZnHqsUsHQm2++yXfffcfjjz9OUlISixcvZvz48eTk5PDEE09UdR+FesKYePF6ll8AfLuDdwcoLpRXlwnVbvvV7YxZM4b5++ZX2TntrdX8NK07QZ72xGcWMOWHI8b6RwBSURH63LJHjMxxf2I6rU6E4zX3Bbnw6srJELYUUMDIxTDktSqdZ1ZccovMxQWFhbXMBKGmGAwSC9ad5YPNF1Co8gBws3HBzsrygqpC5VXqHWH58uWsWLHCuKps6tSpfPnll3z33XccPny4Sjso1B83slBn3tioUED3x+Xfj/0o3wYRqlWxoZjo7GjicuKq9Lxu9lYsm94THycbLibnMuvXMHR6OZ9Q/rFjRHbvwdWnLC+/onJ0lOeWpUTC90MgchOobeTl8z2erNK+w42K9aIUh1DXaIv1PLsinJ8PRAMwta98h6W8umRC1alUMHT16lVjwkU7Ozuys+UlvGPHjhXBUCNWZjAE0GE8WDlCWhRc2V3j/WpsjHmGdBXPM1SeZi62/DitO3ZWKvZFpfLGP2eQJImCkydBkrikS6D78u6ELgst9fPx8Y+N50nITSB0WSj/W/8ofDsQks+CvRdMWQttxlR5v+GmUhwu4gNGqDvyi4p5Yukx1p9KQKNS8OnELvQMtgFuX5dMqFqVWk1mMBhQX8/TERQUxO7du7n33ns5c+YM9vb2VdpBof7QNGuGJsAfhZWV6Q5rB+g0AY5+L/8EDayV/jUWTlbyRMvKJF20RNumTnz6cBeeXHaM3w5fpYWnA3efPAXADsc4CvW6Mo/TG/TG39OzYigyFOHy+3Gir9rQ9IGOWE1fCo7VV/5D7eWF0+jRWAU1r7bnEBq2YkMxr+59lctZl0vtG+g3kDld5gBQWFzIpI2TsFHZ8HKPl+nk2anM82UV6Hj856Mcj8nAzkrFN4+G0q+lJ7+fl780imCo5lQqGFLdtGx29uzZPPLII3Tr1o2wsDBmzJhRZZ0T6hef+f+B+f8pe2e36XIgdH4jZF8Dp6Y127lG5E4yUFtqaFtv5o9sw9sbzvH2+jP0DAtHBQwd+TSObhlMbjMZpcJ04NlOYyffJo34k8DNr4KnDa1iJQpSrCnqNA+ragyEAOxCQ7ELFekdhMo7l3aOf6P/LXNfa7fWxt8NkoHIjEgAvj/1PZ8N+axU+7RcLVN+PMKZa9k42aj5+fEedPWXg5+SumQu1i5V/AoEcyoVDBUXFxt/f+qppwgMDOTgwYPMnDmTCRMmVFnnhAbEuy3494arB+Rq9oNere0eNVglwVCeLg+9QY9KWT1VrKf3bc6llFx27QxHlZ0FGg39Bk1lwK0jgyVSL8KmqXBpB/aAnYc/Sa4KApMlimKrdn6TIFSHtEK5OGpz5+a82sP0PczT9kZCUmuVNe/2fZf/7PsP+6/tJ6cox/j/JUBiViGTvj/EpZQ8PBzkuXhtmtxYOt+7aW9s1baEuIZU8ysSSlRJTvrhw4czfPjwqjiV0JD1eEIOho79CP1eALVYLlodHDU33nRzdbk4W1fPMnKFQsGb97Vn4R65BEe0qy/+kpJSN8rTL8PuD+DUCrmAq8oa+r+Ie+pOEl3lHENFV69Wqg+SJFEUFYVVYCAKjbzqpigmhuLU1FJtDbm52IaGonKon/WchNrXq2kvNozdQLGhmCCXILPtVEoVo4NG8+2pb4nOjmZ33G5GB40G4GpaPpN+OERsegFNnG1Y/kTPUjXGOnt1prNX5+p8KcItKh0MZWdnExERQXp66dwxo0ePvqNOCfVT/rFjJL7zLlZ+fvh+uqR0gzb3gmNTyLkGZ9ZAp4drvpONgEalIdApECuVFUX6omp+LiWTnbMpBE55Siz/YxVLJ45HrVJD0lk49KWcUsFwfTQ55B4Y/g64t8B942kSXa8CkmnixQrI3bGDuFmzaXnwAGpX+RZD2k8/kblipdljmn30IU5m6ioKwu1Yq6zxd/K3qK1CoeDuwLv59tS3bI3eyuig0VxMymHyD4dJytYS6G7H8id64utqV829FixRqWBow4YNTJo0iaysLKzLKLBYWFh4xx0T6h+pWI/23DkkrbbsBiqNXLB1x1tw6CvoOEHUK6sm68bKleMlSULSXZ/QrFIZ8+tIej0YDKYHKZXlltEoi3ufXpxNiuWM50FO6j5k+1+ZDM/bCNF7bzQKHgoD/2NSksXd1p3E6/NDdTGVGxnK3rgJgNxdu3EZez8AancPrMyUDFJ7emLXq1elnksQKuruADkY2he/j6MxCTz1SwTpeUW08nZk2fQeeDnZlHlceHI4ViorgpyD7qjGoGC5SgVDc+fO5bnnnmPevHnY2YmoVpCVlDgotbT+ZqGPyZXIE05A7GG5ur1QLbRRUcQ+Mwvd9VtQgatWYns9JUb6zz+T/MFi0wOUSux69sB51Cgchw9H5eh46ynL5DR0KJcdjhF+8TDd8/MYHnN9LoVCBa1HyXXFyvh3buXWCikkBQijKD4eqbi4QtXkJb2e3H37ALAKuPFt3XPObDznzLb4PIJgqT8j/+Ra3jWG+g+ljXubctuHuIYQ4BRAXE4cj//2Jzl5zenk68zPj/XA1d7M3Dpg7q65pBSksHL0Stq6t63KlyCYUalgKC4ujpdfflkEQoIJY56hrCwkSSq7LIO9O3R4CMKXyaNDIhiqFsVpacTOfBpdXAUmJhsM5B88RP7BQ2j8/LHv2QOAlC++IHfXLfmhJANoc6AwC/9B2Rxz0YK9Hb0K80iRnFinGsbYJ/6La1Pz8yqe7vQ0UoenuPBeV1QuLhSnp6Px8rK4uwUnT2HIykLp7GwM8gShOm2K3sThhMM0d25uUTCkUCh4wHceC9cloy2yoUdzN36Y2g1HG/NZpSVJIkMrryZzs3Grsr4Lt1epYKht27ZcunTJmHhREOBGMIRejyEnB5WTmcKCPWfKwdC5dZAVB86+NdbHxsCg1XJ46ljc4lLQ+bjT5teVKB0dUd705cV18mRcHnrI5LjitDRyNm8h/8hh7LrduJ2li4un8PRp88+XnchxHzlVQse+83lkd0suphayZ3MqP05tjlJp/laoQqkk5MhhlGXcbi9P7h45QHPo06dCI0qCUFlpBfJqMkuDlDXhcby9Jge9wYahbbz5/JEu2Ghufys6V5dL8fU5dmJpfc2x+B0kKirK+Pv06dN59NFHWbhwIcHBwaVGAIKDg6uuh0K9obS2RmFri1RQgD4z03ww5NMeAvvJc0qOfg9D/1ej/bxTmatXk/7LMnl0BGi6eDE2rVrJ+/78i/SffzJpb9UiGOcxo3Ho1690QsoqJkkSCf+Zj1tUCrk2cPnVcXRs1qxUO6W1NdwSgKicnLCe+RTMvF5SQ1cIMftxa5GB4yhrOT/Uzew9oWkXrg4aRPrZT7BWWdO16+N86lvI/V/sZ9eFFL7fd5kZ/Vvcts+VvSa5e/YA4DCgf6WOF4SKSi+UFwy527iX2/an/VdYsO4sAOO6NuP9BzqCwlDOUZBZmAmArdoWG3XZc4qEqmdxMNSyZctS20aaWZEhifpTjZbKxYXi68EQ/rdZddFzphwMHf8Z+r8MVvXnlmvaTz9TdOmS8bF004IBfWYm2otRJu21F6PI+fdfVC4u+H3zNbad5Gy0Wes3UHj2rNnn8ZwzG6WtPHky8d13yduz12zbgF+Xo3Z3R3vxIjlbt2JQKfhorII+XhUMNNIvw8VtELUVruyF4gJsABtHwFkN/r2g5TBoeTd4tgaFgk0XVgHQybMTVior2jSx4vUxbZm/JoL3/71A90A3uviXzqR7Lu0cM7fNxMnKyTjh21K6pGS0Z8+BQoF9374Ve42CUAl6g55MbSZw+5EhSZL4eNtFPt1+EYDH+zRnZLd8pm2egredN2/3fbvUMTdPkk4pSAFEXbKaZnEwdOXKlersh9BAWPn7o7Syklcr3U6re8A1EDKiIXw59Kw/mcsN12vx+by5ACt/f6yCbsyLcbpnBDbtbkx4lHTF5O3fT9aG9Rhy87C+adQ0d89usv8xHwR4zHgSrgdDkk5HUXS02bYl19smJISAX5aybs/3RDjvppOunErykgTXwuHs33B+g1w/7maOTSB4CAQPgxaDwKZ0zqKTKScB6ObdzbjtkR7+HLiUxoZTCcz5PZxNz/UrNU/CTmNHemE6AZdyifl7Gho/X5q+XfqDoiz6zEzsunVD0utRu5f/LV0Q7lRWURaG66PB5spkGAwS/1t3hl8Oyqki5g4LYfbgYM6knTH+f7IlZovJMW42buyecGNO3pIwOS2Ji41LVb8E4TYsDoYCzSxVFYSbBSz9GQBDQQG6hASz7VROTih7zYaNL8LBz6Db46CqH/M+9LlygGHfqxdWfn4m+zRNm6JpalpqxKFfX7xeehFt1CWUN9Xuc+g/ALWHJ+YobrqN5T59Os6jRpltqy6ZrwXYdu5MnjoUju82X5IjJRJO/Apn/oLMm5a1K9Xgdxe0HCoHQN7tyk1/sKD3Ah5p/YjJB4RCoeC9cR04GZtJXEYBC9adZfFDpvWZSr5dFxcVkn/4MFZlJEo0x6ZVCAHLl5UfdAtCFSmZL+Ri7YJaWfq9Slus56U/TvHPyWsoFPDmfe159K4AANq5tyPUO5TjScctfr6BvgOrpN+CZSr06ZOYmMinn37Ku+++W+b+V199leeeew4fH58q6ZxQf+Xu20f8nGfN7vd5cwGuYyfDroXyh/GZNdDxIbPt6wpJp0MqKABAWYFMxgqVCptWpqn1nUePwnm0+QDnZla+vlj5Wj7RvCT1f3ZR9o2NRXkQ8ac8Ehd7+MZ2jZ1826vtffIo0C2jP9+e+paC4oIyn8fLzouJrSfSzqNdqX1ONho+Gt+Zh789yOrjcQxu7cXIDk2M+x00DlgprUh0lfNS6a5eRdLrK5TrqDJ5kYTqY5AMGCSDMVjI1+Wb/dtRK9XVlh29OpTMFyrrFllmfhEzlh3nyJV01EoFH47vxH2db8zVUygU/DT8J7PX4mbfDPsGQMwXqmEVCoYWL16M3y3fhG/m4+PD4sWLWbx4sdk2QuOgUCqN5RHM7UdjCz2fgp3vwP4l0OHBOp+E0VBQgNrTE31ursV5eGqDSbHW7AQ48q1cBuX65EwUKjkA6vSw/N/bzNn69dyvxg+CW7Vzb8fE1hPNHtujuRtPD2zBFzsv8Z81p+nq74qPs/wmr1Ao5MSLTteQ1CrQ6ShOSio1snar4pQUUKuNGaeFukGSJKZsmsLrvV431tT65ewvfHHiC7PHPNHhCZ7r+lxNdfGOdPHqwsaxGynUmyYVjk7N4/Gfj3I5NQ9HazVfTu5Kv5alR3wVCoVcrLgcIgiqHRUKhjZu3MiaNWvM7h8+fDgPPPCACIYEHIcMofXpU7dtU3D6NHkR1timOmHPabi0Xc5UXIepnJxouXdPbXejXK7WrvjYeOCWFgOfdADD9SzUrs0hdJocBDmWPYKbkJvApaxLtHFrg7utOw+0fMDsN1of+/JHgZ8bEsKeyFROx2fx0uqTLH2sh3G5vbuNOwl5Ceh93FHHJVEUE1NuMJS+dClpP/yIx6xZeM6eVe7zCzUjvzifkyknWXF+BS91f6nczMl9mvahvUf7GurdnbNSWeHnZDoYcORKOk8tO0ZGvo5mLrb8OK07rXzq7pckwbwKBUNXrly57dyh5s2bi4nWgsVytmwh7bvvcenTAXv2w75P6nwwVC9kX6PH8d/ZeuHUjZpg/r2g12x54no5Vex3xO5g4ZGFDPAdwOdDPufZruZvd1rCSq3k4wmdGf3ZXvZeTOWXg9FM69MckEtyABT4OOMYl0TszKfx//kn7Lp0ASDj999JXvyhyfkMhYUgSVgHNb+jfglVK7VAnvO14fIGXu/1OgAzO81kZqeZtdmtaiFJEr8cjOGt9WcpNkh09HXm+6nd8HIUozr1VYWCITs7O1JSUvA1M3chOTlZZKUWLGYdIufm0ebYyhN3o/dC/HFoFlrOkUKZivJgz2K5OGrx9aH8FkNg0H/At9vtj73J2TR5uX9VlgEI9nLgPyPb8PraMyz69wKDWnsR4G5PG/c2FBQXoO/WBI5FynXtbqqZJul0GPLySp1P5e4ultTXMSXBkIetRy33pHqsu7SOK1lX6NOkP7/uhb/C4gEY06kp7z/QEVsrMX+tPqtQMHTXXXfx008/8dprr5W5/6effqKXKIIoWMj6+oRi7aUYpAkPoji9AvZ+BA//Wss9My/v0CFSPv0M206d8J73cm13RyZJcO4f+Pc/kH29/IZ/Lxj8GgT2qfDpqiMYApjcM4CNpxM4dDmdl1ef4vcn72JW5+u3uYaDbuIcJK0W9U0lOZzvvx+HgQNLnUvt4WGSUVuofSWrrSwNhi5nXSYlP4WOnh3rRTHSrTFb2Rm7kz+P5BIT3QmlAv4zsg3T+zYvu/SQUK9UKBh68cUXGT58OIWFhTz//PN4eMh/9KmpqXz88cd88MEHbNu2rVo6KjQ81s2bo9BoMOTloQuehNXplXB+PVw7AU0713b3yqS7lkBBWFjd+SDOiIb1z8OlHfJjZ38Y8R76kBFM+Xcq2eELWT5yucWrdgqKC7icdRmANm7l116qCKVSwQcPdmL4J3s4fCWdZYdimNo70Lhf4+1d6hiVk5P5TOZCnVIyMlRy67M8j/37GOmF6fwx5g9au7Wuzq7dMUmSiEyVU4XEp6lws7fi84ld6B3cMEfBGiNlRRoPGjSIzz//nA8//BBPT088PDxwd3fH09OTDz/8kK+++or+/UVqfMEyCo0Gq+tJCLWpOrmAK8jL7esoQ66ct0fpaPmy+mohSXDsJ/iqjxwIqazlTN6zDkOb0ahUaiIzIonOjjafa6gMF9IvYJAMuNu442VnedFUS/m52fHKPfIH38JN57maln/95Yis9fWdMRiyoFQFgKetvOIqJT+l2vpUFbLydcz+PZzYrGQA2no1Y/2cviIQamAqnOVuxowZjB49mj///JPIyEgUCgUtW7bkgQceoGk5q0AE4VY2ISFoz52j8MIFHMfPg4jVELmpzs4d0ufIgYXKsRZHK7Li4Z858uo7kG+J3fcFuJvWAHO0cqSwoLBCwdDNt8iqa+j/5ttls/9aQ6bjN7jburPmPvMrVYWKyy7K5vPwz8kozKCFSwuTicxvHHiDfF2+SXt3W3ee6/pcpW9ZpRVW7DaZh50HFzIuGIOoukaSJDacTmDBurOk5GhxaCUnW13yUD+autT923pCxVQq5W/Tpk2ZM2dOVfdFaISsrxc41V6IBI9noOPDcPI32PkeTF5dy70rzZAjvyHW2sjQhU2wZqacL0htA0Nel+u8lbFCzNHKkZSClEoHQ9VFqVTw/gOdGLFkDxGxWuxbZKCXRCbpqrY1eiu/n/8dgB4+PUyCoe1Xt5OlzSp1TEePjowMKrvmZHkG+w3G3cadUG/LvsSUjAzVxWAoLiOf1/6OYOcFedSquYeGVGURAJ52ovxLQ1Q/6h8IDZbTqFHY97oLqxbXRzUGvASnVsqFQmOPgF+P2u3gLfS5JSNDNZxLpLgIti+Ag5/Lj5t2gbHfgmeI2UNMEi9aaHqH6YR6h1ZrMATg7y7fLntjvfyBnF2UjU6vQ6Myn6hTqJgMbQYgF9B9pPUjJvv+r+v/odVrjY//vfIvJ1JOEJ8bX+nnG+A3gAF+AyxuXzKCVFKYtC7ILtTx7e7L/LDvCgU6PVYqJU8PbMH93W24dy1YKa2w19iXfyKh3hHBkFCrNN5eaLxvmpviFgSdH4HwZbDzXZjyd631rSzGkSGHGgyGsuJh1RSIPyY/vusZGLoA1LevSF9mSY5yNHduTnPnmsnfM7lnAOtPxXNWUqJQGEgtSKOJgyjlU1WytfK/eyfPTgwJGGKy78GQB00e5+nySC1IxUp1+7+pqlQSDNWFkaFCnZ5lB2P4YlcUmflygtIegW68O649wV6OnE45Dci3EsXKsYap3gVDKSkprFixgqSkJDp06MCDDz6I6jb1if78808OHjxosq1JkybMnTu3ursqVFb/l+Dk73B5J1zeDUGWf9usbgqVEoWNDaqauk127QT8/jDkJMg1w+77EtqMtujQyowM1SSlUsHiB7sw8m97UOew/GgELw0SwVBVKQmCS/4ObmdGxxnM6Dij0s8lSRInUk7gYeNBM8dmKBXlr82pCxOoU3O1LD8Uw/JDMaTmyrfBWnja89Lw1gxv520MfFq7tWbjuI2l5lkJDUe9CoYuXbpEnz59aNeuHT169ODVV1/lxx9/ZOPGjWYDoq1bt3LgwAGmTJli3ObuLu751iU5O3aQu3MnDoMG4Th4MLgGQOhjcPQ72DwfntpdbtbkmtLso4+AGlr9dGETrJ4OujzwbA2PrATXQIsP97L1wsfex+JbT4cTDhOVGUVPn54EuwZXstMV4+9uh5edBylFOfx0OIKHO/XGz62OpC2o50qCISer6p/sn6XNYsom+T32+OTjFo0wtXZrzazOswh0Dqz086YWpLLm4ppS9cIAxgSNMZ77bNpZtl/dTkuXltwdMJwj0en8eTyOtSeuUaSXk3w2dbbh/4aGMK5rM9Qq02BOo9Lg52i+LqdQ/9WrYGjevHkEBwezdetWlEolTz31FCEhIaxYsYJJkyaZPS4kJIQXX3yxBnsqVET+0WNk/rEahZW1HAwBDHwVTq2CpNNylfXQqbXbyVtU+1D5oa9h86sgGSBoEIxfWqqafHle7P4iL3a3/O9+w+UNrIlaw5MdnuRZ1zsrwVERwe5NSEm4QpGUxSt/nWL59J7iVkQVKDYUo0Bh0cjQnSq51eVs7WzxrTZ/J/87LtXx3anv+O38b2Xu6+TZ6UYwlHqeb099C8BrSWmkpLvcaOfnwvS+zbmnvQ8aVYWyzQgNSL0JhoqLi9mwYQMfffQRSqX8BxsYGMiAAQP4+++/bxsMXb58mddffx1nZ2f69etHjx51a1JuY2fMRH3hwo2N9u4wcB5s/g/seBvajwPrRlAAUV8sB0FH5Dduuk6FUR9CDUwsLllJ1s69XbU/183aebQlr0hL2DV79kelsepYLBO6+9doHxqiTwd/it6gR6L8UUydQce0TdNIyEtg7f1rKxxApRZeL8VhU7O5dy5mXgSgT7M++Dve+Jsp1OlJTLPlq6hLHLycxtFrKSi93VFapZFpOI+TTV/uad+E8d39CA1wLfd5/r3yL5EZkfRt1peu3l2r7fUItafeBEMxMTEUFhbSooVpLpUWLVqUmhN0M4VCgeP1lT9nz55l/vz5zJw5k08++cTsMVqtFq32xkqL7GzLJ6AKFWfTWk7CVxgZiSRJN0YFuj8JR3+A9EtymY6hb9RiL2Ux0x5DaW1Nk4XvoXYt/020QrQ5sPpxuLhFfjzsTej9LNTAKIlWr+VS5iWgepfVl+W5rs9BV/jO6TLvbDzH2xvOMbCVF95OoujlnVJZeHtZo9QQkxNDljaLxLzEigdDlaxLdiXrCkn5SbR1b1vqdp7BIFGkN6DTG9DpJXR6A0XFBor0BvK1erIKdHR2GI+TV2ectZ1JTXPiWlYBUcl5pOZqgeTrPwC+uDh2Q2+1mbvaZfL9PUOxVlt+631n7E42XtmIs7WzCIYaqFoNhlauXMnRo0dv2+bVV1/F3d2d/Hx54prTLan5nZ2dySujkGOJl19+mebNb6yOmThxIsOGDePee+9lcMktmVu89957LFiwwNKXIdwhq6AgUKsxZGdTnJiIpkkTeYfaCu5+G1ZMhINfQOg0eT5RLZGKisg/dAgAhbKKh9Oz4uG3CfJtQbUNjPsW2t53R6c8lniMj49/jL+TP+/1e++2bS9mXKRYKsbF2gUf+9qZxPx43+asP53AydhM5q+J4LspoeJ2WQ3ysfMhS5tFQl4CLV1bVujYkrpkt5bikCSJ9LwiotPyiE7N51pmAWl5RaTmaknLLeKC5r/olEk4ZT6LlB9EYbEBrU6PtthAscHSeXktgJzrPzKFAgLd7Wnt40i3QDf6BLuTLXkxfctm4gvOYFXB22ElCSXdbNwqdJxQf9RqMOTs7IyPz+3feEsmRjs4yKt3MjMzTfZnZmYaR37KcnMgBDB06FB8fX3Zu3ev2WDo1Vdf5YUXXjA+zs7Oxs9PTJ6rLkorK6ybN0d78SKFFy7cCIYAWt0DzfvDlT2wZT5MWF5r/dTn5hp/VzpU4Wqym1eM2XvBxBXge+fZt4v0RZxKPUV0djTz9swz2Tex9UQ6e3UGICI1gvePvg9Ub+bp8igUEu8/0JHRn+1l27kk1p9KYEwnkdW+MgySgae3PY2DxoEFvRfgYFX+32sT+yZcyLhAYl5ihZ+vZGTIUePGzvPJhF/NIDw2k1NxWWQV6MweZ+tvh9oekvKSKc6+/b+1WqlAo1KiVimwt1LjbKvB2VaDk62GJs42NHWxpamLDf5udoR4O2JvbfrxVljcAY1SQ0pBCrE5sfg7WX4rNr0wHbC81IhQ/9RqMDRixAhGjBhhUVt/f3/s7e25cOGCyTHnz5+nTZuKFZQsLi42uQ12K2tra6ytrSt0TuHOWLdqhfbiRbTnL+B4vUp57r79FMVEQ/4AuBgGF7dD3Cvg0wG1uzuOw4fX6Ae34XopDqWdHYrbpHOokAub5FtjunzwbAOTVoFL1cyXaeIgB5XZRdlsvLLRZN9Av4F0pjMAiXmJhCeHAxgDpJoUnhzOczuew9vemz/G/MGsQcF8su0i//vnDH2CPXCzr7ncNw1Fni6PA9cOAPBuv3ctOqZkRLCiwdDllFwORkcDsGxfOt+nlR7tb+psQ6CHPb6utng6WuNub427gxV/xgYSnn6Fqf3cuK95H6zVKmw0SqzVKqzVSjRqJRqVAo1SiVJp+v96VEYUkRmRtHZrTZBLULn9tFHb0MGjA2HJYRxLOlaxYKhADobcbMXIUENVb+YMqVQqxo0bx9KlS5k5cybW1tZERESwb98+Vq++Ubbhjz/+4OrVq8ydO5fi4mIOHTpE3759jftXrVpFYmIiw4YNq42XIZhh06Y12evX43zvGOO2rL/+IntjyYf49dujx9cCawFo+uFinEeNqrE+6rNLirRWwURuSYLDX8O/rwJSpVeM3U5z5+Z8PvhzYrJjSu27uUp4S9eWvNTtJew0doxsXrlSDHfCVm1LhjbDmJvmmYHBbDqdyIWkHN5cd4ZPHu5S432q70pyS1kprbBWWfbFriR4tiQYytUWs+7kNVYcjeVkbCYqB39UtoMpzg8gyMOeLv6udPZ3obOvC8FeDthalf3l4YLOl/B0sLPNp6Ovi2Uv7rqdsTv5NPxT7m1xL+/0fceiY4YHDifIJYgg5/KDpxIGyWDM5i1GhhquehMMASxatIh+/frRs2dPunbtyvr165k4cSJjx441ttm8eTOHDh1i7ty5KBQK3njjDXQ6He3atePq1ats376dN954g0GDBtXiKxFu5TxuHEUxV1F7exu32XbqiKS/XrPKoJeTMBblUqTzwOXxZ3G6554a7WNJxXqV0x0GQ7euGAudBiMXV8uKMUvKIwQ4BTCl3ZRy21WXknkYGdoMDJIBK7WS9x/syNgv9/P3iWvc27kpg1t7l3MW4WbGHEPWlucY8rGTR4YS8hLMtrmals/Xey7xd3g8+UXy/5tqpYK7fPozpI0XQ9t4VyhP1J3UJ4vOjgbkv19LPdLmkfIb3SJTm4lBknMRudi4VPh4oX6oV8FQkyZNOHXqFOvXrycpKYkpU6Yw8PotlRLjx483jgSpVCq2b9/OkSNHCA8PZ9CgQXz55ZcEBNTeJFyhbGpXV5q8aTpp3W3qVNym3pRfKPYI/HA3kAG9mkJVT2IuR0nF+jsqxWGyYkxxfcXYnBpZMVZXudrIq/IMkoFMbSZuNm508nPhiX5BfLvnMv/5K4ItL7jhZCPqllmqpBRHRRIuNnNshp+jH972pQPPqORcvtwZxdqT19Bfn9gc5GnPw939GNfVFw+Hyk0ruJP6ZFezrwIVC4Yqo+QWmbO1Mxql+BtsqOpVMARgZ2fH+PHjze6/++67S23r0aOHyC3UEPj1kCu0H/4K1v8fPH0Ag15F4fnz2IXe+YTj8kg6HQobm8pXrDdZMWZ7fcXYvVXbyXpIo9TgYu1CpjaTtII040jR80ND2HImkei0fBZuOs+7YzvUck/rj5LbZBVZIt/JsxMbx5nOLUvJ0fL+v+dZHRZHSdL1ga08mTmgBT2bu6FQKNAb9IQlheFh64Gfo1+F5vEZ65PlV3xkqOT2b0WDIZ1Bx9m0s9ir7S3KtB7gHMCmcZvI1eWW21aov+pdMCQ0ckNegwsbITMG3S8ziFmZij4zk6B/1qK+eRUagEJhfGOWJEmep3PTtopyHjUK51Gjbty6q4hrJ+RAKDdRXjH2yApoVv0BXH3hbuMuB0OFabREXtZta6Vi4QMdefjbQ/x2+CpjOjalVwsxZ8MSd1qKo6jYwNID0Xy6/SI52mIAhrbx5tkhwaXm9qQVpjH136moFCrCHg1DgeX/fwU5BzGr8yx8HX0r1L8sbZZxHs/NyRYt8Xn45/wY8SMPtHyA//X+X7ntNUpNhfsn1D8i97hQv1jZwwM/gFKDOm4TalsDhrw8ooYM5XzbdiY/2siLxsNSv/qK823bcSG0G7n7999RFyq8kuzCJvjpHjkQ8mwDT24XgdAtSvLTlOSrKSguIK0gjZZN4MHuzihUuby8Zj/x2SmkFaSh05tfri1AfnE+ChQVmjNUIuxqBvcs2cM7G8+Roy2mo68zfz3Tm++nditzknPJfB93G3eLCrTezNvem5mdZjI6yLLiwyVKbpF52Xlhp6lYLbuuXnLSxONJxyt0nNCwiZEhof7x6w7D30Gx6WWatIogOtEPQ65l1aSl/Hxyd+zEoU+fau4kpVeMtRgMD/1cpSvGGop2Hu3kbPHXb+v8ceEPPjj2gXG/QwhkAiPWyI8nt5nMvB7zSp9IAGBSm0lMbD0RncHyoFFbrOfhP18kMucw2sJ78XAI5eXhrXkw1LfUsvabGYMh25obtavM5OkSnb06o0BBdHY0qQWp5WbN3n51OxGpEfRq0oseTcR0i4ZKBENC/dRjBsQexjriT1qOz8PwyDqwN31TU920BN79scdQWtuQ/MEH6BIrnlQOIPXb7yg4fhyX8Q/hOGTI7RsXa2HDXAhfJj8OfQxGflAjNcbqoxdCXyi/0XWOGmee6fxMNfamYVAqlBYvq4+Iz+KFVSe4qkpB45xDx0ADP40diLNd+X+v5rJPWyo6K5qEvARaubWyOMNz76a9+Xzw52gq8f+Ts7UzIa4hXMi4wPGk4wwPHH7b9nvj9vLnxT+xUlmJYKgBE8GQUD8pFDDmU0iMQJl6AeXm2fDoGrAqe8hcaWuL1fVs5MUJ5pcO307h6dPk7t6Nff9+t2+YkwQrJ0PcEVAo5RVjvWY36hVjFTWl3ZRSy/2fX3mCNeHxNPF2wFppD8hzwf5v5/+Rqc0s8xZNf9/+PNb+MQDydfm8fuB1/tfrfxZlZG4MJEnityNXWbDuLEXFBlyauaEHerZUWRQIQeXrkpWYv28+p1JP8cmgTxjiX86XjOvcbd0tShthTjefblzIuMB/9/2Xz8M/Z93YdcZ9s7bP4mTKSePjPJ1c7knkGGrYxJwhof6ydpDLc1g7Q+whWPEI6ArNNtc0kfOoVHZkSG/MM3SbeRhxx+HbgXIgZOMMk/5o9Evnq8pro9vibm9FZFIuX+yMAuRbGDtidxizCt/6c3PCyStZV9gcvZmtMVtr6yXUmM/CP2PurrnGzOJlydMW838rTzB/TQRFxQaGtvFiTn955ON2uYZudafB0J2sKKuskqCrUF9onGxeIrcolyxtlvGn2FCMSqGivUf7GuufUPPEyJBQv3mGyAHHsrFyUsY/psGEZWXejlJfr4OnT0/HoNWirGDJFUOOvLS2zLpkBgMc/By2LwBDMXi0gom/g3uLCr8koWxu9lYsuK8ds38L54udUdzdzptBfoP4eujX5OhyyjzG1+HGKqC/o/4GIDIjsia6W6uOJBzhRMoJsxnFL6fkMmPZcaKSc1EpFcwb0Yon+wWxK1b+G6+NYMjSXEOSJPFDxA/4Ovoy2G8wVqqKl2vp7tOdneN3kl2UjUphuiDivX7vUag3/VLlYu0iirQ2cCIYEuo//55y4PHrQxC5Cf56EsZ9DyrTP2+Viws2HTuidnPDkJ9fiWDo+sjQreU4clPg75kQtU1+3PY+uPdzsKncsmbBvFEdmrCu3TU2n0li7qqTrJ3dhz7NLJsM38ZdrmEYlRlVnV2sE0pGO8rKM7TvYirP/Hqc7MJifJxs+PyRLnQLlD/oK1KSo8TIoJEEOgfSybNTpfrqYXd9ZMjCLNRphWksCVuCUqHk2KRjlXpOkIOwsgK4pg6iOHBjJIIhoWEIGiDfMlvxCJxZAwUZ8MCPYH/jPr9CoaD5qpWVfoqSqvXG2mSSBOfWwcYXITcJ1DYwYqFcXkPcFqsWCoWCd8Z24Gh0BucTc/h0+0VeGt66/AOBYBc5wd7FjIvltKz/zJXj+OVgNAvWnUVvkAgNcOXryaF4Ot74UtDEXg6G0gvTKSwuxEZtU+5zDfEfYvFcn7KUlOSwdGQoOisagKb2TSs1gVoQyiLmDAkNR8jdMP4X0NjB5V3y3J1rJ6rs9MaRIQcHyIyF3yfCqkflQMizNTy5E7o9JgKhaubhYM27Y+X5G1/tukT41QyLjisJhtIK00gvTK+2/tUFt2ag1hskXl8bwetrz6A3SIzr2ozfnuxpEgiBnKQx2CWYHj49jBOHq1tF65NdzamZMhxC4yKCIaFhaT0SntgObkGQdRV+HA7HfpQLvV4nSRKSrmJJ+6SiImMtNGXEL/BFT/mWnFID/V+CGbvBu22VvhTBvBHtm3B/56YYJJi76iQFReVnBbfT2BnnEEVlNNxbZVq9Fq1eC8jBTaFOz9PLj/PLwRgUCnjlntZ8+FAnrNWlk4cqFArW3LeGH4b/YNFSeZ1Bx/Gk48Rkx8hZ3iuhohOo7yTHkCCYI4IhoeHxbiuP0rQcDsWFsP55+LofRG4hfflyIrt1J/Gttyt0SoWhgNZLHqH1lAKUBxaCLg/87oKZ+2Dwf0FT/u0EoWotuLc93k7WXE7NY9G/5y06pqWrXOrjYmbDvVVWUqRVqVCiLdLwyHeH2HI2CSu1ki8f6crMAS0qXZLmVkl5SUz7dxoP/vNgpc/h6+jLnC5zmNN1jkXta6pAq9C4iDlDQsNk6wITV8ChL2HP+5B8Bn57CGVmRwx5eejir5Z/Dl0hXNoB5/6B8xtAmy1XXfJoKY8GdXjIOFok1DxnOw2LHujItJ+O8vOBaAaEeDKotddtjxniPwQ/Rz/auberoV7WvJKVdXZqB8Z/fYjLqXk422r4fmo3ugdaviJKkqRyg6abs09XuuaftTMzOs6wuH1lC7QKwu2IYEhouJRK6D0bOj8C+z6Gw9+gLrgAuFMcsRd+vAf8eoCdO9i6ynmLsq9B+mX5J/YIFN1UqdqztRwEtRsLygrWJxOqxcBWXkzrHcjPB6J5afVJNj3Xv9Q8mJvdF3xfDfaudgQ5B/HH8L1M/Wk/l7PyaOZiy9LHuxPsZVkF+z8j/+TzE58z0G8gb/R647ZtS7JPV3ZZ/c2OJR4jKT/J7P4RgSNQKBRiZEioFiIYEho+Oze4+y3oMQPNhk9g90Z0+Sq4ekD+uR2nZtDmXgrUHUn9cw/W2li8OohAqC555Z7WHLyUxoWkHF5afZKfpnWvsttA9dHJ2Eym/XSEjHxo6eXAsuk98XG2/DauSqkitSCV2OxY40RsALVSja3aFpBHjXJ1ucTnxgNVEwwtP7ec7Ve3m90/NGAoGoWGVWNWEZ0dbVz5JghVQQRDQuPh4ofm/jfhrY0YdEr0g95BlR8nL8MvyABtNjh4y5Ov3YLkuUdNuoBSie7fzeTu2o0+u+zkfkLtsdGo+HRiF8Z8vo9dF1L4+UA0j/VpbrZ9ljaLixkXCXELwcmqYeWCOngpjSeWHiWvSE8nX2d+fqwHrvYVS0roYy8nJz2ceJjev/c2br8n8B7eH/A+AAbJYLKvKoKhENeQ265gU6JEqVDSwqUFLVxEMlOhaolgSGhUlPb2KJ2cMGRnU9x0OKqWLS06znC9FIfSUdS0qota+Tjy31FteH3tGd7bdJ7ugW60b+ZcZtvHNj/GxYyLfDb4Mwb6DazZjlajrWeTmPVbGHqbCHwDz/BQz3sqHAgBtHdvTzOHZsZRn/JYq6zp26xvhZ/nVqL4rlCbRDAkNDoaHx+02dnoEhOxtjAY0l8vxaFysGzehVDzHr0rgD2RKWw7l8wzv4axbk5fnG1LJ+Vr6dKSixkXicqMajDB0JrwOF784xR6g0QbvxziOE5UVmClzuVg5cDGcRvRG0zTFdx861GpUBI2Ocy4Xa0UHyVC/SaWwgiNjl2PHjgMHIjSruwK92UpSbiodBLBUF2lUCj48KHO+LracjU9n7mrTmAwlM59U7K8vqHUKFt6IJrnV540JlMc2EYevbyTW4BKhRKNSmPyc3PAo1AoytwuCPWVCIaERsfnv/Px+/or7EJDLT7GWLFejAzVac52Gr6eHIqVWsm2c8l8vedSqTYtXeRgqL7XKJMkiSXbLvLGP2cAmNY7kMUPdiJPJ49illWXTBCEsolgSBAsYKxYf2uRVqHOad/MmQX3ynmEFm++wIFLppmNS0aGrmRdQWeoWCbyusJgkHjjnzN8vE0e3XpuSEveGNMWpVJxoy5ZA5scLgjVSQRDQqMkSRKGggKL2xsK5bYqMYG6Xni4ux8PhvpikGDWr2FEp95YpdTEvgn2GnuKDcXEZMXUYi8rp6jYwLMrwo3lNRbc247nh4UY5/SYK9IqCIJ5IhgSGp2CU6eIDO3GlfvHWnyM78cf0+rUSZwfeKAaeyZUFYVCwdv3t6eTrzMZ+ToeX3qUrHydcZ+xgn09K8uRpy1m+tKjrD+VgEalYMnDXZjaO9Ckza1FWgVBKJ8IhoRGR+XqiiE/H11iYoWKSyqtrFBaVXypslA7bDQqvpvSjabONlxOyWPm8uMUFRsAmNh6IvN7zqeDR4da7qXl0vOKeOT7w+y9mIqtRsUPU7tzb6empdqVBEPiNpkgWE4hVbbUcCOSnZ2Ns7MzWVlZODmJN5j6zlBUxIWOnQBoefAAalfXWu6RUJ3OJWTz4FcHyCvSM6GbHwsf6GC8pZSvy2dLzBazxwY6BdLZq3MN9dS8a5kFPPrDYS6l5OFip+Gnad3p4l/2361BMpBTlIOdxg6NsnRqAUFoTCz9/BZrIoVGR2llhcrDA31qKsUJCRYFQ/EvvQyA10svovG6fTFQoW5p08SJzx7pwhNLj7HyWCyejta8OLwVII+ivLb/NbPHPtDygVoPhi4m5TD1xyNcyyqkibMNy6b3uG2dMaVCibN12QknBUEomwiGhEZJ4+ODPjUVXUICNm3b3ratJEnk/Psvkk6H1wvP11APhao0uLU3C+5rz2t/R/D5ziis1UrmDGmJlcqKfs36mT2uZOUZyCMuSkXNzizYE5nCrN/CyCkspoWnPb9M70kzF9sa7YMgNAYiGBIaJU0THwojItAlJJbbVtJqkXTy5FuxtL7+evSuAAqKinl343k+3BqJjUbFk/2D+HLol7c97njScV7d+yqetp78OurXGuotLDsYzf/WnUVvkOge6Mo3j3bDrZzyGsn5ySw6sghPO09e6fFKDfVUEOo/MYFaaJTUPnLF6+LEhHLblmSfRqGoUNZqoe6Z0b8FLwwLAeCdjef4af+Vco9x0DiQkJdAdHZ0NfdOptMbeGNtBK+tPWPMKr38iZ7lBkIAKQUpbInZwtaYrTXQU0FoOMTIkNAo2bZvh27gQKyaB5XbtqQumdLBAYVSfH+o7+YMDkZbrOeLnZdYsO4syTlaXrq7FUqlosz2fo5+gJy/J0ubVa3zca5lFjD7tzDCrmYC8PKIVjw9oIVJXbDbESvJBKFyRDAkNErO992H8333WdS2pGK9StwiaxAUCgUv3t0KK5WKj7dF8tWuS1zLLOD9BztirVaVam+nscPdxp20wjTicuOqLRjadSGZ51eeICNfh6ONmg8f6sTd7XwqdI5srcg+LQiVIb7mCkI59CVFWkUw1GAoFAqeG9qSxQ91Qq1UsPbENab8cIT0vKIy25eMDsXmxFZ5Xwp1et7beI7Hfj5KRr6O9s2c2DCnX4UDIUCU4hCEShIjQ0KjJUkSqV99RfaGjSjKuEXi8tB43KY8iiFXLuWgFKU4GpwHQ33xcbJh5vLjHL6SzvBP9rD4oU4MCPE0aefn6MeJlBPE5cRV6fMfuZLOvD9PceV6uZDJd/nz31FtsdGUHqGyhMg+LQiVI4IhoVGSDAYujx5D0eXLZtsUp6cB4DT8bhxOnUTSamuqe0IN6tvSg9VP92L2b+FEJecy9ccjTOsdyCv3tDYGJVU9MpSeV8THWyNZdkiujebtZM3b93dgWFvvOzqvqEsmCJUjgiGhUVIolQT8uhzthUizbTTNbpQ6UFpZgSjF0WC19nFi/Zy+LNx0np8PRPPzgWh2XkjmhWEhjOnYlBDXELp4dcHf0f+OnienUMcP+67w/d4r5GqLAbmo7Ksj2+Bse+fZosUEakGoHFGOwwKiHIcgNB67LiTz0upTpOTII4GtfRyZe3crhrT2MrvirDyx6fn8GRbH0gPRZFwvGNuuqRPzR7ahd7BHlfW9pBSHSqHCwUrc1hUESz+/RTBkAREMCULjkqct5qf9V/hmz2VyCuURHB8nG+7p4MOoDk3o6u9628BIkiRi0ws4fCWNNeHxHLiUZtwX5GnP3GGtuKe9T6WDK0EQLCOCoSokgiFBaJwy84v4ds9llh2MIUdbDBQDChxtrAnysKe5hz3+7vaAvCqsoEhPXEY+J+OyTFamKRTQu4U747v5MapDE9QqsZBXEGqCCIaqkAiGBKFxK9TpmbJhBueyjiIlPEZuZki5x1iplLRp6sTgVl48ENoMX9fqz16+6MgiCvWFTG8/HV9H32p/PkGo60TVekEQhCpio1HR1NmRc1kSL432oKdHP6JT87icmkdcRgFqpQIbjQobjQp3eys6+bnQpomjSRLHrTFb+ePCHxgwGLd18OjAc12fMz6etX0WWr0WJCgoLiC7KJvsomzydHmEeofyzbBvjG2HrBpCpjbTpJ9FBnk0amLridV0JQShYRLBkCAIggVKltcn5MfT2seJ1j6WjxIbJAPvHHqHtMI0k+0apekKsqOJRykoLijzHMWGYpPHRYYiY/BzMy9bL3wdxKiQIFSECIYEQRAsUBIMVSbx4qmUU6QVpuGgceC/d/0XBfLEaU870+SOb/Z5E4NBHjmyUdvgZOWEo5UjjlaOWKusTdquHrMaidKzHNxs3LBSiTQQglARIhgSBEGwQMkcnMokXtwZuxOAfr79GBU0ymy7EYEjLD6nt/2dJWgUBOEGEQwJgiBY4OaRIYNkQKmwfEXYuJbjcLRypL1H++rqniAId0AEQ4IgCBZoYt8EtUJNkaGI5PxkfOwtL6Qa4BTAEx2eqMbeCYJwJ0QwJAiCYAG1Us1g/8FYqawwSIbyDxAEod4QwZAgCIKFPhz4YYWPWRK2hGCXYAb5DcJOU/25hgRBqDgRDAmCIFST5Pxkvj/9PQA7HtohgiFBqKNETnhBEIQK0Bl0pBemW9R2V+wuADp6dCy1jF4QhLpDBEOCIAgW2h+/n+7Lu/PMtmcsar8jdgcAg/wHVWe3BEG4Q+I2mSAIgoU8bD3QS3quZl9l05VNJvtGBI5AoZCTKYYnhxOfG8/hhMMADPYfXON9FQTBciIYEgRBsJCfox8KFOTocnh5z8sm+4YHDjdmlv713K9sjt4MQKBTIEHOQTXeV0EQLCeCIUEQBAvZaex4IfQF9sXvu227YJdgMn0yUSlVTG4zuYZ6JwhCZSkkSSpd3EYwkZ2djbOzM1lZWTg5WV6cURAEQRCE2mPp57eYQC0IgiAIQqMmgiFBEARBEBo1EQwJgiAIgtCoiWBIEARBEIRGTQRDgiAIgiA0aiIYEgRBEAShURPBkCAIgiAIjZoIhgRBEARBaNREMCQIgiAIQqMmgiFBEARBEBo1EQwJgiAIgtCoiWBIEARBEIRGTQRDgiAIgiA0aura7kB9IEkSIFe/FQRBEAShfij53C75HDdHBEMWyMnJAcDPz6+WeyIIgiAIQkXl5OTg7Oxsdr9CKi9cEjAYDFy7dg1HR0cUCkWVnTc7Oxs/Pz9iY2NxcnKqsvM2BOLamCeujXni2pgnro154tqYV9+vjSRJ5OTk0LRpU5RK8zODxMiQBZRKJb6+vtV2ficnp3r5R1YTxLUxT1wb88S1MU9cG/PEtTGvPl+b240IlRATqAVBEARBaNREMCQIgiAIQqMmgqFaZG1tzRtvvIG1tXVtd6XOEdfGPHFtzBPXxjxxbcwT18a8xnJtxARqQRAEQRAaNTEyJAiCIAhCoyaCIUEQBEEQGjURDAmCIAiC0KiJYKgWnTt3jvDwcHQ6XW13pVbFxcVx6tQp8vLyzLbJzMzk2LFjxMXF1WDP6o6DBw8SFhZW5r7GfG2io6M5deoUxcXFZe7PyspqlNcmOTmZ48ePc/nyZbNlCEquTWxsbA33rmZFRUWxb98+9Hq92TYXLlwgLCwMrVZ7R23qm0uXLrFv3z6z//9otVpOnTpFTEzMbctZREZG1v9rIwk1Ljo6WurYsaPk4eEhBQYGSt7e3tLOnTtru1s17p9//pHat28vNWvWTOrQoYNkb28vvf7666XaffDBB5KNjY3Upk0bydbWVpowYYKk1Wproce1Y8mSJZJSqZRatWpVal9jvTaRkZFSz549JXd3d6lbt25SSEiItH//fpM2H3/8scm1efDBB6XCwsJa6nHNyM/Pl8aNGyfZ29tLXbt2lby8vKTWrVtLJ0+eNGn36aefSra2tsZrM27cuAZ3bdatWycNGDBAcnV1lQApIyOjVJtr165JoaGhkqurqxQUFCS5u7tLGzdurHCb+mbDhg3SoEGDJDc3NwmQUlJSTPZnZ2dLzz77rOTq6ip17NhR8vb2ltq3by+FhYWZtEtISJB69Oghubi4SEFBQZKbm5u0fv36mnwpVUYEQ7Wgb9++0pAhQ6SioiJJkiRp7ty5kru7u5SVlVXLPatZS5YskSIiIoyPd+/eLWk0GmnlypXGbbt27ZIUCoW0efNmSZIkKSYmRvLy8pIWLFhQ4/2tDeHh4ZKfn580bdq0UsFQY702WVlZkr+/v/Twww8bP8Dj4+OlNWvWGNvs27dPUigU0oYNGyRJkqTY2FjJx8dHeu2112qjyzXm/fffl5ydnaXY2FhJkiSpqKhIuvvuu6U+ffoY2xw6dEhSKBTSP//8I0mSfO2aNm0qvfrqq7XS5+qycOFCaceOHdK6devMBkMjRoyQevfuLRUUFEiSJElvvPGG5OTkZBIcWNKmvlm0aJG0bds2aePGjWUGQ5cuXZKWLFki5efnS5Ik/x09/PDDkr+/v2QwGIztRo8eLfXs2dPY7q233pIcHBykpKSkmnsxVUQEQzUsMjJSAqRt27YZt6WmpkpqtVpatmxZLfasbujcubM0Z84c4+MpU6ZId911l0mbF198UQoICKjhntW8nJwcqVWrVtK6deukefPmlQqGGuu1+fDDDyU7OzspMzPTbJvHH39c6tatm8m2V155RWrWrFl1d69WvfTSS1L79u1Nts2fP18KCQkxPp4xY4bUuXNnkzb//e9/JW9v7xrpY00zFwzFx8dLCoVC+vvvv43bcnNzJVtbW+mrr76yuE19tmnTpjKDobJs27ZNAqSYmBhJkiQpMTFRUigU0urVq41t8vPzJXt7e+mzzz6rtj5XFzFnqIaFh4cDEBoaatzm7u5OUFCQcV9jlZGRwaVLlwgODjZuCw8PN7lWAD169CAmJoaMjIya7mKNmjVrFoMHD2b06NFl7m+s12b79u3069cPBwcHTp48SVRUVKn5IOauTXx8PCkpKTXZ3Rr19NNPk5ubyyuvvMK2bdv4/vvv+emnn3j77beNbcxdm6SkJBISEmq6y7XmxIkTSJJkci3s7e1p06aN8b3YkjaNxdGjR7Gzs6NJkyYAnDx5stS1sbW1pV27dvXy2ohCrTUsPT0dlUpVqnCcu7s76enptdSr2idJEjNmzMDV1ZWpU6cat6enp+Pu7m7StuRxeno6rq6uNdrPmrJ8+XKOHDlidtI0NN5rc+3aNby9venSpQsgv1YrKyuWLVtGnz59jNtud208PT1rttM1JCAggBkzZrBo0SK2bNlCXFwc/fr1Y+DAgcY25V2bkg+7hq7k/basa1Gyz5I2jUFERATvvPMOr7zyChqNBmh410aMDNUwjUaDXq8vtYKsoKAAKyurWupV7Xv22WfZsWMH//zzj0mgqNFoKCwsNGlbUFAA0GCvV1paGk8//TTPPPMMx48fZ9++fcTFxVFQUMC+ffuMoz6N8dqA/Lq3bt3Kxx9/bFzpMnDgQB566CHjqpjGem3eeustPv30U06fPk1YWBhxcXFIksTIkSONbRrrtblVyYd6Wdei5DpY0qahu3TpEiNGjGDMmDHMnz/fuL2hXRsRDNWwgIAAQP52e7Nr167h7+9fG12qdc8//zy//vorW7dupVOnTib7AgICiI+PN9kWHx+PRqPBx8enJrtZYwoLC+nUqRMrV67klVde4ZVXXmH37t2kpKTwyiuvcO7cOaBxXhuAwMBAgoODGTJkCAAqlYonn3yShIQEoqKiAPPXRqVS0bRp0xrvc01Zv3499957L35+foAc3Dz55JMcO3bM+J5j7toolUp8fX1rvM+1peS9uKxrUfJebEmbhuzy5csMGjSIvn37smzZMpTKGyFDQ7s2IhiqYb169cLe3p5//vnHuO3gwYMkJyczbNiwWuxZ7XjhhRdYunQpW7dupWvXrqX2Dxs2jC1btpjkr1i7di0DBw40fjNpaJo1a8a+fftMfiZNmoS/vz/79u2jd+/eQOO8NgDDhw8nNTXV5HWX5BHy8PAA5GuzdetWk2+ta9eupX///g264KSnp2epnEqxsbGoVCrc3NwA+dps27aN/Px8Y5u1a9fSp08fbG1ta7S/tSk0NBQ3NzeT9+LTp09z5coV43uxJW0aqujoaAYNGkSvXr1Yvnw5KpXKZH/nzp3x8PAwuTbnzp3j4sWL9fPa1Or07UZq0aJFkr29vfTVV19JK1askFq0aCGNHTu2trtV41577TVJqVRKS5Yskfbu3Wv8OXfunLFNenq65O/vL40cOVL6559/pBdeeEGysrKSDh48WIs9r3llrSZrrNdGq9VKnTt3lu69915pw4YN0s8//yw1a9ZMmj59urFNZmamFBgYKI0YMUJau3at9OKLL0oajUbat29fLfa8+m3cuFFSKBTS3Llzpc2bN0tfffWV5OHhIT311FPGNtnZ2VJQUJB09913S2vXrpXmzZsnqdVqaffu3bXY86p3+fJlae/evdKiRYskQNq0aZO0d+9eKS0tzdjmiy++kGxsbKQlS5ZIq1atktq0aSPdfffdJuexpE19c+XKFWnv3r3S4sWLJUBav369tHfvXik1NVWSJHmlWGBgoNS+fXtp165dJu/P2dnZxvN88803krW1tfTJJ59If/zxh9SuXTtp8ODBtfWy7oioWl9Lfv31V1auXIlWq2Xw4MH83//9X4P+xlqWJ554gvPnz5faPmjQIN566y3j4/j4eBYtWsSZM2do0qQJc+bMoWfPnjXZ1Vr39ddfs3fvXn799VeT7Y312mRmZrJ48WIOHz6Mq6srI0aMYNq0aSbD+AkJCSxcuJCIiAh8fHyYPXs2vXr1qsVe14xDhw7x/fffExMTg7u7O8OHD2fKlCkm3+wTExNZuHAhp0+fxtvbm1mzZhknnzcUn376KatWrSq1/b333qNfv37Gx3/88Qe//vor+fn59O/fnxdeeAE7OzuTYyxpU5988cUX/P7776W2v/322wwcOJDw8HDmzJlT5rHffvstbdu2NT7+66+/WLZsGbm5ufTr14+5c+dib29fbX2vLiIYEgRBEAShURNzhgRBEARBaNREMCQIgiAIQqMmgiFBEARBEBo1EQwJgiAIgtCoiWBIEARBEIRGTQRDgiAIgiA0aiIYEgRBEAShURPBkCAI1W7dunVcvny5trthoqioiBUrVpCZmVlnz20wGFixYgVpaWlV0zFBEMokgiFBEG4rLy+Pffv2sW7dOi5evFipc8yZM4cdO3ZUcc/uTHZ2NhMnTiQ6OrrOnruoqIiJEydW+roLgmAZdW13QBCEumvNmjU8+eST+Pr6EhAQQGRkJB4eHnz//fe0atWqtrt3R6ytrZkwYQKurq716tyCIFQ9EQwJglCm/Px8Jk2axPz585k/f75x+8GDB8nJyTE+/vPPP7nrrrto1qyZcduWLVvw8/OjTZs2JudMTEzk5MmT2Nra0qdPn1KVsIuLizl69CipqamEhobStGlT475du3aRmJiIQqHA29ubLl264OzsbHL8unXraNeuHTY2Nhw7dowmTZrQtm1b1q1bx+jRo4mOjiYyMpLQ0FCaNGnC/fffX+oc2dnZHDx4EJArc3t7exv35eXllXmugIAAk3NYW1ubnPvm45KTkzl37hy+vr506tSp1HW/ePEiZ8+epUWLFgQHB5fxL3P7Pm7YsAFPT0969Ohh3BYeHk5MTAz3339/mecThEavduvECoJQV50+fVoCpIMHD962nb29vbRmzRqTbaGhodJ7771nfBwQECANGTJEatq0qXTPPfdI3t7eUp8+faTc3FxjmzNnzkgtW7aUAgICpJEjR0rNmzeXvvnmG+P+t99+W5owYYI0fvx4qWfPnpKbm5u0ZcsWk+cteZ6AgADpvvvuk7755hvpypUrEiCNHj1aatWqlfTQQw9Je/fulVJSUiRACg8PNx6/evVqydXVVerfv780YsQIydnZWfr888+N+82d61a3nrvkuDFjxkht27aVRo0aJTk4OEhz5swxOW7hwoWStbW1NGTIEKl9+/bSPffcU+rfoLw+/vDDD5K9vb0UGRkpSZIkxcbGSm5ubtKHH35o7p9QEBo9EQwJglCmvLw8ydPTU+rfv7+0e/duqbCwsMx2lgZDPj4+UkJCgiRJkpSamioFBARIb775piRJklRcXCy1bNlSeuihh6SioiJJkiSpqKhI2rhxo9n+LVmyRAoMDDTZFhAQIAUHB0sZGRnGbSWByPjx4yW9Xm/cfmvAcvnyZcne3l7atWuXsc3Ro0clGxsb6dy5c7c9163MBUOPP/64ZDAYJEmSpF27dkkKhUKKiYmRJEmSIiMjJZVKJa1bt06SJEkyGAzSxIkTTYIhS/ooSZL04IMPSt26dZMKCwulQYMGSUOHDjU+ryAIpYkJ1IIglMnOzo5///0XlUrF4MGDcXR0pG/fvnz99dcYDIYKn2/y5Mn4+PgA4O7uzvTp01m1ahUABw4c4OLFi7z33ntoNBoANBoN99xzj8k54uPj2bJlCytXrkShUBAdHU1KSopJm0cffRQXF5dSzz9r1iyUSvNveb///jvu7u6kpKTwxx9/sGrVKi5fvoybmxt79+6t0LnMeeqpp1AoFAD07dsXpVJJZGQkIN9ubNmyJaNHjwZAoVDw0ksvVaqP3377LYmJiXTv3p1Tp06xdOlS4/MKglCamDMkCIJZXbt2ZceOHWRlZXH06FHWrl3L7NmziYqKYvHixRU6V2BgoMnj5s2bExMTA8DVq1dRq9UEBQWZPf6VV17hs88+o3v37nh6eqLT6QBITk7G09PT2K5JkyZlHm9ue4no6GiKiopYvXq1yfZ+/frh4eFRoXOZ4+bmZvxdpVKhVqspLCwE5GtQ1jWqTB9dXV154YUXeOGFF3j//fdN5l4JglCaCIYEQSiXs7MzQ4cOZejQoRQXF/Pbb78ZgyGlUllqpKjkA/5mGRkZpR6XfIC7uLhQXFxMVlZWmaM6kZGRLFq0iJMnT9KxY0cAIiIiWLt2LZIkmbQ1NwJS3siIk5MTrq6urFix4rbtLDlXZbi7uxMWFmay7dZrZmkfk5OTWbRoEW3btuXTTz/liSeeECvbBOE2xG0yQRDKlJOTU2ayv8LCQpOApVmzZkRFRRkfx8fHl5kX59bA5a+//qJPnz4A9OnTBzs7O3755ReTY0pugSUmJqJUKmnZsqVx362jI3dqxIgRnDt3jt27d5tsz8nJMVk9V1369u1LWFgYsbGxxm1//fVXpfo4ffp0QkJCOHbsGJ6ensycObN6Oy8I9ZwYGRIEoUwZGRn069ePIUOG0LlzZ+zt7dm3bx+//PKLSdAyZcoUFi5ciFqtRqPR8N1332FjY1PqfNHR0dx7772MGTOGrVu3cvz4cb799ltAHhn69NNPefrpp4mMjKRz584cOXIEtVrNl19+aVxm/+CDD/LAAw8QFhZm0QhORQwdOpQZM2YwevRo5syZQ4sWLbhw4QJr1qxhy5YtODo6Vunz3Wr48OH079+foUOHMmfOHBITE/npp58q3Mcvv/ySPXv2cOrUKWxtbfntt9/o2rUrv/zyC1OmTKnW1yAI9ZUYGRIEoUz+/v6cP3+egQMHcunSJQ4ePEhgYCARERFMmjTJ2O6VV15hyZIlnDt3jsTERH777Tdmz55N27ZtjW3GjBnDihUrGDduHGFhYfj6+nLkyBGTkZ7p06dz4MABrK2tOXToED179uSzzz4DwN7enoMHD9KxY0d27dqFp6cn+/btY8KECSajVGPGjKFFixYmr8Pe3p4JEyaUCmbKSoz4zTffsHr1anJzczlw4ADe3t4cPHjQOHfH3Lludeu5zR03fvx4k/xM69at48knn+T48ePY2Nhw8OBBJkyYYDIf6HZ9LCgo4NixYyxdutSY+6h169b88MMP7N+/n6Kiotv2WxAaK4V06w13QRAEQRCERkSMDAmCIAiC0KiJYEgQBEEQhEZNBEOCIAiCIDRqIhgSBEEQBKFRE8GQIAiCIAiNmgiGBEEQBEFo1EQwJAiCIAhCoyaCIUEQBEEQGjURDAmCIAiC0KiJYEgQBEEQhEZNBEOCIAiCIDRqIhgSBEEQBKFR+3/Tk1VPrGo0PAAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# In the example above, we assumed perfect CSI, i.e.,\n", "# h_hat correpsond to the exact ideal channel frequency response.\n", "h_perf = remove_nulled_scs(h_freq)[0,0,0,0,0,0]\n", "\n", "# We now compute the LS channel estimate from the pilots.\n", "h_est = h_hat[0,0,0,0,0,0]\n", "\n", "plt.figure()\n", "plt.plot(np.real(h_perf.cpu()))\n", "plt.plot(np.imag(h_perf.cpu()))\n", "plt.plot(np.real(h_est.cpu()), \"--\")\n", "plt.plot(np.imag(h_est.cpu()), \"--\")\n", "plt.xlabel(\"Subcarrier index\")\n", "plt.ylabel(\"Channel frequency response\")\n", "plt.legend([\"Ideal (real part)\", \"Ideal (imaginary part)\", \"Estimated (real part)\", \"Estimated (imaginary part)\"]);\n", "plt.title(\"Comparison of channel frequency responses\");" ] }, { "cell_type": "markdown", "id": "45c3b321-b6b8-40ab-9620-1e8d609ad267", "metadata": {}, "source": [ "### Understand the Difference Between the Channel Models\n", "Before we proceed with more advanced simulations, it is important to understand the differences\n", "between the UMi, UMa, and RMa models. In the following code snippet, we compute the empirical cumulative\n", "distribution function (CDF) of the condition number of the channel frequency response matrix\n", "between all receiver and transmit antennas." ] }, { "cell_type": "code", "execution_count": 10, "id": "9833e89e-64ae-4724-a191-7241fed6bac4", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T21:22:47.896612Z", "iopub.status.busy": "2026-08-06T21:22:47.896474Z", "iopub.status.idle": "2026-08-06T21:22:49.993789Z", "shell.execute_reply": "2026-08-06T21:22:49.992893Z" } }, "outputs": [ { "data": { "image/png": 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DJCIiIs2OEiARERFpdpQAiYiISLOjBEhERESaHSVAIiIi0uwoARIREZFmp9lNZOB0Ojl48CCxsbENMoutiIiI1J1hGOTl5ZGWlhaQJYeaXQJ08OBB0tPTgx2GiIiInIJ9+/bRtm3bOh+n2SVA7mnP9+3bR1xcXJCjEREREX/k5uaSnp7utXxJXTS7BMh92SsuLk4JkIiISIgJ1PAVDYIWERGRZkcJkIiIiDQ7SoBERESk2VECJCIiIs2OEiARERFpdpQAiYiISLOjBEhERESaHSVAIiIi0uw0igSotLSUkpKSWu1jGEY9RSMiIiJNXVAToEWLFjFhwgRiYmIYNmyYX/vs2rWLiy66iIiICGJiYrjpppsoKCio50hFRESkKQlaAmS323n00UcZM2YM06ZN82uf0tJSLrnkEiIjIzl48CCrV69m8eLF3HrrrfUcrYiIiDQlQUuAIiIiWLRoEddddx3h4eF+7fPll1+yefNmZs6cSVJSEl27duXPf/4z7733HocPH67niEVERKSpCKnFUJcsWUKnTp1IT0/3lJ177rk4nU6WL1/OmDFjghidiGtsmmGAwzBwlj93GgZOAxxOA6P8uWEYGIBhgIFB+f97Xhue1+XPfZQ7DaBSmdNHXcqPWV7T+7iebZXqumMo304NMVZrN96FVetU3aXqGL5qh6xS4DAc5fE7cBrO8s/UgRNn+WfhxGk4K0VilL+HUfF/hmcLYOCsEmylFlcJwfXMdfzq8Tm9gq147vTxQXnewzCql1X/FHzUqVJe5T2cJ9le9cT4ipDyz63iuROT51ju+J2VnleqX34Mk2dfvOqY3F+i8romDAzP51rtW+K73PBuZfXxoCeu74+aPiVTDee6pjGpphOcU1/v6Kld7TydwpjXk3wuVZcTre242hN9W2veUtO2Gj6/KjEVFRafNK7aCKkE6MiRI7Rq1cqrLCkpCZPJxJEjR3zuY7fbsdvtnte5ubn1GqMEnmEYFJc6ySsupbDEQWGJg6JSB8WlDorKnxdVfl5Svq3Ugb3USanTSZnDwOE0KHU4KXMarofDVV7qdJZvM3CUP3cnLK7n3n8rb3cahifBcScgteMEkxNMDjCVYTI5AAeYHK7nprLy5+46TsC9zV3mwESl7SYH4Czfx1nxHjgr9vO8r7N8X9cPHRgVz02VfrRMlX7kTE6v517bPdtc+5swMOHAZKpSv9J2qhzfqPrcdAr/+ItIk+MocgT0eCGVAAE4nb6zf5Opaj7r8swzz/DEE0/Ue1ziH4fT4FBOEfuzijiYXUROUSl5xWXkFpWSW1z+vLiizP261NEYfgTLwGLHZC5/hNnBXIzJbMdssWM2V2yj2vMS13OLHZOptCJxMdX+v05Dne//hq47s2FgouK/bE01lHkeld7c/V/qlev5+luZ9/7Vj1XTftXr+37u631OdExf7++r/klfn+SknGx/XzGcuLY/73Xi/Wrbhtq9d6CYTvCqtnuf2j4n+1hMtT4/p/JB1/I9Kr1FabGTTafwjjUJqQQoNTWV7777zqvs2LFjGIZBSkqKz30efvhh7rvvPs/r3Nxcr0toEliGYXAsz86+rEL2ZxWxL7OQfZlF7M92/T2YXUSZ89T+dTKZIDo8DJvVQlS4hUirBVu4hUirmUirhajybZHhrteRVgsRVgthZhNhFjNhZhOYSik18rE787AbudideRQ5cylylD/K8ih2FmJ3FFHsKKDIUUhxmetvqbN2UzWcCgsmrCYzVsyEYcKK63+kVgMsGIQZ5Q+nkzDDidXpKH/uIMwwsBgGYeB6DljK/4aV728xIKz8r+t4YC5/bcb13GSAhfIEonyb67kroTD7fO6q635tKn9fE5Tv795mxmyyYDZbvP6azGGYzRYsZgsmk3tbGGZMrnKTBbPJXPHcbMaMq57FbMFktoDJ4vqSmC1gMpc/Kj03+yrz9dxS6bWvY5Y/MJU/r/rXvc3k/V4mk4865irbqxzHZ71Kx6oaQ+XX1Z6bfNc74X54l4P38Xz9rbqPJ1aRusnNzeXDe+MDdrxGnwAVFxdjtVqxWCyMGDGCp59+mp07d9KpUycAvv32WywWC2eeeabP/SMiIoiIiGjIkJsNp9Ngy5E8VuzOZPmuTDYdymV/VhH2shP3algtJtokRNImMZKEqHDibFbibGHERVqJtYW5XkeGEWuzEmcrL4u0Eh1uqbGnr7C0kMMFhzlUcMjzOFxwmONFx8m2Z5NdnE2WPYuisqI6t9tmsRFtjSLGHEGUOYxoLESbzEQZJmKcBtFOB1GOUqLLSoguKSa6tJCo4gKi7flEO8uwOQ2sGFgNsBqG61GejFjqHB1gCYewSAiLgDAbWG1gLX/ueURUeR4BFqtrX6+HtYbnYRXPzdbybeXbzWGV6lsrtpvD9EMoIo1GUBOgkpISnE4nDofDNc6j2DXAyWazAZCdnU1iYiJvvvkmU6ZM4aKLLqJfv3785je/4dVXXyUzM5NHHnmEm266iaSkpGA2pVmwlzlYtz+H5bszWbErk5V7ssgrLqtWz2yC1PhI2iZGkt4iivTEqIrnLSJJjrVhMdfuh7CorIh1xzeyP2+/J8E5UnDE8zy3xP+xXWGmMBJsCSREuB6JtkTP83gsxDocRJXZiSkpJMaeT1RRLjFFWUTnZxCdf5Sw/L1QVofBeCYLhMdAeHT5I6rK62jXa2tUxWtrpOu1NdL7eVhk9W3mgKRRIiJNWlAToKFDh7JhwwbP64SEBAAyMjKIjo7GZDIRERGBxeL6B91isTBv3jymT5/O4MGDiYiIYPz48Tz77LPBCL/Jyysu5Zc9WazYncmK3Vms2ZdNSZXenehwC2e0T2RQhxb0S0+gQ8toUhNsWC2nPsNCYWkhW7K2sDFjo+exM2en9104PsRaY0mJSSE1OpXU6FRSolNoFdmKRFsiiRGJrqTHGkdMcS6mrF2QuRMydsDhnZC51PW6Nj1EEfEQ2xoiW0BkAtgSwBZf8bymv9ZI9YSIiASZyWhma0rk5uYSHx9PTk4OcXFxwQ6nUfp5x3FeXLCNlbszqTpcp2V0OIM6tGBQxxYM7tCCnqmxhNUx2dmUucmT6GzK2MSu3F0+k50WthZ0jO/oleBUfh4THlNRuSgLDq+H41tdiU3mLsjc4frrsFc7dgUTRCdBTIoruanxb2tXIiMiIg0i0L/fjX4MkDScDQdzeO6rLfyw9ZinrF2LKAZ1aMHgjokM7NCCTknRNY7D8dfhgsPM3TaXr3d/za6cXT7nhmgV2YrTWp7mefRs0ZPkqOTq7+10QtYu2LYAjqx3JT1H1kPOvpoDMIdBYgdo0an6Iz4dwvybmFNEREKXEiBhb0YhM77ZwidrDgIQZjYxcXA7bhvZmTYJgenlcDgd/HTwJ+ZsncMP+3/w6uFpHdWani17clrL0+jVshc9W/SkVVSr6gcpKYAjG+HIOji8zpXsHN0IJfm+3zShHSSfBi06Q4uO3kmORV99EZHmTL8CzdjxfDt//3Yb7y7f65ln5/K+afzuwm50SIoOyHscKzzG3G1z+XDbhxwqOOQpH9h6IGO7jWVI6hCSIk8wgD1rN2z5CrZ+Cbt/Amdp9TqWCGh9GrTuDSl9XI/WvVzjcURERHxQAtQM5dvLeP2Hnbz+404KS1wza57VNYkHR/egd5u6Jw1Ow8nSg0uZs3UO3+/7Hofheo+48Diu6HIFY7uNpVN8pxp2dsD+FbD1K1fic6zKtFcxraskOr2hZRf16IiISK3oV6MZsZc5eHfZXmZ+t52MAtekfqe3jeeh0T0Y1qXu0whkFGXw8faP+d/W/7E/f7+nvH9yf8Z1G8eF7S/EFmarvmNxLuz4zpX0bJsPhRkV20wWaDcUuo+GbhdDUpc6xykiIqIEqBkwDINP1x7k+a+3sD/LdZt3p6Ro7h/VnYt7p9R5UPPxouPMXD2TT3Z8QpnTNS9QrDWWyzpfxrhu4+ia2LX6TgUZsP5D2PIF7F7sfWnLFg9dLoTuF0OX8yEysU7xiYiIVKUEqBl4ZdFOnvtqMwDJsRH89oJujBvYtk5z9QCUOkp5Z9M7vPLrKxSUFgDQJ6kP47qNY1SHUURZo6rvdGwLLP0/WDvbezLBFp1dCU+30dDuTNfMwSIiIvVECVAT9/OO4zz/tSv5uWNkZ+4+ryuR4XWbKdgwDH488CN/XfFX9uTuAaBXy148OPhB+if397UD7PwelvwDti+oKE85HfqMcyU+ST56iUREROqJEqAm7EhuMfe8txqnAdec0Zbfj+pe58tdO7N38teVf+WnAz8B0NLWkt8O+C1jOo/BbKrSo1RaDOs+gKX/dN2uDoAJelwKZ94B7YdpRmQREQkKJUBNVKnDyZ3vrOJ4fgk9UmL5y5W965T85Jbk8s81/2T25tmUGWVYzVZuOO0Gbulzi/cMzAD5R2HFG7BiFhQed5VZo6H/JBhyK7TsXIeWiYiI1J0SoCbquS83s3JPFrERYbwyacApX/ZyOB18uO1DZq6eSZY9C4Bz08/l/oH30y6unXflw+tcvT3r5oDDdZcZ8ekw+Ddwxo2utbBEREQaASVATdAX6w7xxuJdAPzt2r6nPKnhisMreG75c2zJ2gJA5/jOPDD4AYalDfOuWJgJn/8WNn5SUdZ2kOsyV88xmqNHREQaHf0yNTE7j+XzwP9+BeDWszsxqldKrY9RXFbMYz8/xhe7vgAgNjyWO/vdybXdr8VqrnJ31o7v4KPbIf+wa86e08bAmXdC+qA6t0VERKS+KAFqQgpLyrj97VXk28sY3LEFvx/VvdbHKCgt4K5v72LlkZWYTWbGdRvHnf3uJNFWZS6eMjt8+2dYMtP1OqkbXPMGpPYNQEtERETqlxKgJsIwDB75aD1bjuTRKjaCmdf1J6yW8/zk2HO4fcHtrDu+jhhrDDPPn8mA1gOqVzy6GT682bUoKcDAaXDRXyDcx7w/IiIijZASoCbinWV7+Wj1ASxmEzMn9ic51seSEydwvOg4t35zK1uztpIQkcArF75Cr5a9vCsZhuvurvl/dE1iGNUSrviHax4fERGREKIEqAlYuy+bP3/mmmfnwdHdGdKpZa32P1xwmFvm38Lu3N0kRSbx+oWv0yWxyppb+cfgkzth29eu153Phyv/CbGtA9EEERGRBqUEKMRlFZRwxzurKHE4Gd0rhVvOqmGV9Rrszd3LLfNv4WDBQVKjU3njojeq396+7Rv4+HYoOAaWCLjwz65b2811W0pDREQkWJQAhTCn0+C376/hQHYRHVpG8ddxp9dqssPtWdu55ZtbOF50nA5xHXj9otdJia5011hpEXzzGCx/1fU6+TTXQOfWvXwfUEREJEQoAQphf/9uO4u2HsNmNfPPSQOIs/m/gOiGjA3c9s1tZNuz6ZrYldcufI2kyKSKCofXuwY6H9vkej3kNrjgcbBGBrYRIiIiQaAEKEQt2nqMF7/dCsBTV/ahZ2qc3/uuOrKKO7+9k/zSfPok9eGfF/yT+Ij4igoHV8Obl0BpIUQnw5X/B10vDHQTREREgkYJUAg6kF3Eb2evxjBg4uB2XDOgrd/7/nzwZ6Z/N51iRzEDWw9k5vkzibZWmik65wC8O8GV/HQ4C8a+CTGt6qEVIiIiwaNRrCFoxtdbyCospU+beB67/DS/9/t277fc9e1dFDuKGd5mOP93wf95Jz/2fHhvvGtW51Y9YcI7Sn5ERKRJUgIUYhxOg++3HAXgj5f2xGb1b5HTeTvn8buFv6PUWcqF7S/k5XNfJjKs0ngepwPm3uJa0DQqCa57H2zxNR9QREQkhCkBCjHrD+SQVVhKTEQYZ7RPPPkOuC57PfzjwzgMB2M6j+GvZ/+VcEu4d6VvHoUtX7huc5/4HiS2r4foRUREGgeNAQoxP2w9BsDwLi2x+rHURamjlGeWPYOBwZjOY3hy+JOYTVX2++XfFWt6Xfl/kD44wFGLiIg0LuoBCjE/bHMlQGd3829szrub32V37m5a2Frw0OCHqic/OxfCvN+5no98GPqMDWC0IiIijZMSoBCSW1zKqr3ZAJzd9eQJUEZRBq+sfQWA6WdMJzY81rvCsa3w/o3gLIM+4+CcBwMdsoiISKOkBCiE/Lz9OA6nQadW0aS3OPnK639f/XfyS/Pp2aInV3S+wntjQQa8Ow7sOZA+BMbMhFrMIi0iIhLKlACFkEVbjwP+9f5szNjI3G1zAXh4yMNYzJXuFiuzw/vXQ9ZuSGgH498Ba+1WjxcREQllSoBChGEYngHQ55xk/I9hGDy7/FkMDC7peAn9k/tX3gif3gN7l0BEHFw3R3P9iIhIs6MEKETsOFbAgewiwsPMDOnU4oR1v9r9FauPriYyLJJ7B9zrvfHHv8Gvs8FkgXH/huQe9Re0iIhII6UEKES4e38Gd2hBVHjNsxcUlhYyY+UMAKb1nua9uvv6ufDdX1zPL/krdDm/3uIVERFpzJQAhYhFW923vyedsN6bG97kSOER2sS0YXKvyRUb9q+Ej293PR9yOwy6ub5CFRERafSUAIWA4lIHy3ZlAHBOt+Qa6x3MP8ib698E4HcDf4ctrHxgc+4heG8ilBVD11Ew6ql6j1lERKQxUwIUAlbszqS41ElKnI1urWNqrDdj5QzsDjuDUgZxQbsLKjb88DwUHIXkXjB2Fpj9Wz9MRESkqVICFAIWbXFd/jqraxKmGubqWXF4BfP3zMdsMvPgoAcr6uUegtVvu55f8leIiPW5v4iISHOiBCgEuJe/OKe779vVHU4Hzy5/FoBx3cbRvUX3io1LZoLDDulnQvvh9R6riIhIKFAC1Mgdyili65F8zCYY0cX3AOgPt33I1qytxIXHcVe/uyo2FGTAyn+5np99v2Z6FhERKacEqJFz3/7eNz2BhKjwattz7Dn8ffXfAbij3x0k2BIqNi77J5QWQmpf6HJBtX1FRESaKyVAjdwPJ1n+4p9r/0m2PZsuCV0Y3318xYbiHFj2muv5Wb9T74+IiEglSoAasTKHk8XbyxMgH8tfbM/azuzNswF4YNADhJkrTZC44g3XQqdJ3aHH5Q0Sr4iISKhQAtSIrd2fQ05RKfGRVvq2jffaZhgGf13xVxyGg/PSz2No2tCKjSUFsOQfrudn/Q7MOs0iIiKV6ZexEXOP/xnRJYkwi/ep+n7f9yw5tASr2cr9g+733vGXt6AwAxI7QO9rGihaERGR0KEEqBFz3/5edfmLEkcJz694HoDJvSaTHptesbHMDj+/7Ho+/LdgqXndMBERkeZKCVAjlV1Ywtp92UD18T/vbnqX/fn7aRXZilv63OK945p3Ie8QxKZBv+saKFoREZHQogSokVq8/ThOA7q1jiE1PtJTbhgGc7fPBeDOfncSZY2q2MlRBj+96Ho+7G4Ii2jAiEVEREKHEqBGyj3+p+rt79uzt7MrZxfh5nBGdRjlvdP6DyFrN0QlwYDJiIiIiG9KgBohwzBYtNX38hfz98wHYFibYcSEV1oY1emExf/P9XzoHRAe3SCxioiIhCIlQI3Q1iP5HMm1Y7OaGdShhde2+btdCdBF7S/y3mnz53BsM0TEw6CbGypUERGRkKQEqBFyX/4a0rElNqvFU749azs7c3ZiNVsZmT6yYgfDgB9cd4Ux5Ddg854zSERERLwpAWqEPJe/uvm+/DU8bTix4bEVG7YvgMO/gjUKhtzeYHGKiIiEKiVAjUxRiYPluzOB6re/f737awAu6lDp8pdhwA9/cz0feBNEt2yQOEVEREKZEqBGZumuDErKnLRJiKRzq4qBzDVe/trzE+xbCpYIGHpXwwcsIiISgpQANTKLtrhnf26FqdIK7p67v9KGeV/+cvf+9J8EcakNFqeIiEgoUwLUyLiXvzinyvIXnru/Kl/+2v8L7PweTBYYPr3BYhQREQl1SoAakX2Zhew8VoDFbGJYl4oEaEf2Dnbk7CDMHOZ9+evH8t6f08dDYvuGDVZERCSEKQFqRNy9P2e0SyDOZvWUu3t/hqUNIy48zlV4ZANs+QIwwVn3NXSoIiIiIU0JUCNS0/IX7vE/XpMf/jjD9fe0KyCpa4PEJyIi0lQoAWokSh1Oft6eAXgvf7Ezeyfbs7cTZg7j3HbnugozdsCGj1zPz76/oUMVEREJeUqAGonVe7PJs5fRIjqc3mkVMzl/vcc194/X5a+l/wTDCd1GQ0qfYIQrIiIS0sKC+eZOp5O3336bb7/9FpvNxrXXXsv5559/wn0yMzOZNWsWGzduJDw8nCFDhjBp0iTCw8MbKOr64b78NaJLEmZzpdvffa39teNb198BUxoqPBERkSYlqD1At956Kw899BD9+/cnJSWFiy++mDfeeKPG+tnZ2QwcOJBPPvmEs88+m969e/PnP/+ZK664ogGjrh8Vt79XuvyV4+PyV84ByNwJJjO0HxaMUEVEREJe0HqAfv31V9544w2+++47zj3X9eMeFhbGgw8+yI033uizR2fhwoXs2rWL5cuXk5Tkuk28Q4cOjBkzhiNHjtC6desGbUOgZOTbWXcgB4CzKs3/4+79GZo6tOLy1+7Frr+p/bToqYiIyCkKWg/Ql19+SVJSEiNHjvSUXXvttWRmZrJ06VKf+3Tu3BmTycTOnTs9ZTt27KBVq1YkJCTUc8T1Z/H24xgG9EyNIznW5in33P1VefLD3T+4/nY8qyFDFBERaVKC1gO0c+dO2rZt67XcQ/v27T3bzj777Gr79OnThw8//JAJEybQrVs3CgoKKCws5JtvviEiIsLn+9jtdux2u+d1bm5ugFtSd75Wf9+Zs5NtWdtcl7/Sz62ovOtH198O1T8fERER8U/QeoDsdjtRUVFeZTabDYvFQnFxsc998vPzefnll0lNTWXcuHGMGzeOrKwsZs2aVeP7PPPMM8THx3se6enpAW1HICzZ4br9/Wwfl7/OTD2T+IjyS13ZeyF7j2vpi3ZDGjxOERGRpiJoPUDx8fFkZWV5lWVnZ+NwOGq8nPXaa6+xZs0a9u/fT3S0a6X04cOHM3DgQCZOnMjQoUOr7fPwww9z330VMyXn5uY2qiTIXubgUI4r4euZEucp9zn5obv3p80ZEFFpQVQRERGplaD1AJ1++uns3LmT/Px8T9mvv/7q2ebLvn37aNu2rSf5Aejevbtnmy8RERHExcV5PRqTw+XJT0SYmYQo1/IXu3J2uS5/mcI4r915FZXdA6A7aPyPiIhIXQQtAbriiiuwWq384x//AMAwDP7f//t/9O/fn9NOOw2AwsJCxo4dy8KFCwEYOHAgW7ZsYfXq1Z7jvPfee5jNZvr379/gbQgEd+9PWkKkZzyU+/LXkLQhFZe/DAN2l/cAaQC0iIhInQTtElhSUhJvvfUWkydP5uOPPyY7O5v8/Hy+/PJLT52SkhI+/PBDLrvsMgCuu+46vv32W4YPH87w4cMpKChgzZo1/L//9//o2jU018M6lFMEQEpc9bu/RrUfVVExazfk7AOzFdI1/kdERKQugjoT9NVXX83IkSNZtmwZERERDBs2DJutIhGIjo5mzpw5DBo0CACTycS//vUvHnvsMbZs2UJ4eDh9+vShZcuWwWpCnbl7gFITXO3enbObrVlbfVz+co//GQDh0VUPIyIiIrUQ1AQIoEWLFlx88cU+t1mtVsaOHVutvH379p5b5kPdoezyS2DxkUBF78+Q1EqXv6BiALQuf4mIiNSZFkMNMs8lsHhXD5Bn7a/Kkx8ahgZAi4iIBJASoCCrGARtY0/uHrZkbcFisnBeeqXLX5k7Ie8gWMIhfXCQIhUREWk6lAAFmTsBSomLrLj7K3UICbaEikq7ype/aDsIrJENHKGIiEjTowQoiIpLHWQWlACuHiDP3V8dRnlXdA+A1uUvERGRgFACFETuSRAjrRZySg+xOXNz9ctfhqEB0CIiIgGmBCiIDpYPgE6Nt/HN3m8AH5e/jm+DgqMQZoM2A4MQpYiISNOjBCiIDleaA8hz91fltb8Adlce/2NDRERE6k4JUBC5B0DHxeSwKXOT6/JX5ckPodLlr7MbODoREZGmSwlQEB3Mdl0CKwxfBcDglMEk2hIrKmj+HxERkXqhBCiI3JfADpYuB6pMfghwbDMUHgdrlGsJDBEREQkIJUBBdDCnGExlHCneCcBZbar08rgvf6UPgbDwBo5ORESk6VICFESHc4owhx/HwEmsNZbkqGTvCu4B0B1GNHxwIiIiTZgSoCApKnGQVViKOfwoAB0TOmIymSoqOJ0V4380AFpERCSglAAFiXsR1Iio4wB0iu/kXeHoBijKAms0pPVv6PBERESaNCVAQeKZBTq6hgTI3fvTfihYrA0ZmoiISJOnBChIDpYnQKbwY4CPBMg9AFrjf0RERAJOCVCQHM4pApyUmA4DVRIgpwP2uOf/0fgfERGRQFMCFCQHc4oxWbNwUkq4OZy0mLSKjYfXQXEOhMdCat/gBSkiItJEKQEKkkPZRZgjXJe/2se3x2K2VGzcXX75q/0wsIQFIToREZGmTQlQkBzKKfbcAl/jAOiOWv5CRESkPigBCpJDOcWYI3wkQI4y2POz67kGQIuIiNQLJUBBUFhSRk5RKRZfPUCH14I9F2zxkHJ6kCIUERFp2pQABcGhnGLA8IwB6hjfsWKj+/b39sOh8rggERERCRglQEFwKLsYkyUfk6UIs8lMh/gOFRvd4386aPyPiIhIfVECFASHcoo843/axLQhwhLh2uAohb1LXM81/kdERKTeKAEKghoHQB9cAyX5EJkIrXsHJzgREZFmQAlQENR4C/zuH1x/2w8Hs06NiIhIfdGvbBC4LoGdYAB0Ry1/ISIiUp+UAAXBoexKPUAJ5T1AZSWwb5nrucb/iIiI1CslQEFwMDcTszUXqHQJ7OAqKC2EqJbQqmcQoxMREWn6lAA1sAJ7GQXGIQCSbEnEhse6Nrgvf3UYofE/IiIi9Uy/tA2s8h1gnRM6V2xwD4DW/D8iIiL1TglQAzuUU4Q5vMoA6DI77Fvueq4B0CIiIvVOCVADO5RdjCWiygDo/SuhrBiikyGpWxCjExERaR6UADUwn5Mg7q40/sdkClJkIiIizYcSoAa2PzsHkzUTqJQAeeb/0fgfERGRhqAEqIHtzt2LyWQQYY4mKTIJDAMOrnZtbDcsuMGJiIg0E0qAGtjhoj0ApEW1x2QyQf5RKC0ATNCi04l3FhERkYBQAtTAskv2A5XuAMva7fob3xbCwoMTlIiISDOjBKgB5RWXUmo5DMBpSV1dhVm7XH8TOwQnKBERkWZICVADOlzpDrAeLbu4Ct09QEqAREREGowSoAa0P7sAc/hxoNIdYJnlPUAtOtawl4iIiASaEqAGtPn4HkzmMkxGGGkxaa5C9QCJiIg0OCVADWhr5g4AYixpWMwWV6ESIBERkQanBKgB7c/bDUCriHRXQUkh5LsGRZOoS2AiIiINRQlQAzpq3wtAekwHV0G2a04gIuIhMjE4QYmIiDRDSoAaUJ7jAABdEzu7CjwDoDtoDTAREZEGpASogRiGQYnZdbmrd7J7DqDdrr8a/yMiItKglAA1kF3ZhzBZijEMEwPSurkKPZMgavyPiIhIQ1IC1EBWH9oCgKmsJQmRUa5C9QCJiIgEhRKgBrLh2DYAbEZqRaESIBERkaBQAtRAdua4LnclWNu4CpxOyCq/C0yzQIuIiDQoJUAN5GCBK9lJiWzvKsg7BA47mMMgrm0QIxMREWl+lAA1kMzSfQB0iC3v7XEPgI5PB0tYkKISERFpnpQANYC8kjzsRjYA3ZO0CryIiEiwKQFqADtzdgLgLI2jU4uWrkKtAi8iIhI0SoAawM7s8gSoJJmUeJurUD1AIiIiQaMEqAFsztgOgNPeitT4SFehJwFSD5CIiEhDUwLUALZk7gAgwkghMtziKvTMAt0hOEGJiIg0Y0qAGsCeXFey0zKinaugOBcKM1zPlQCJiIg0uKDff52Tk8Py5cux2WwMGTKE8PBwv/bbtm0bu3btonfv3qSlpdVzlKfO7rCTYXctgto2unwOIPflr6iWYIsLTmAiIiLNWFAToE8++YQbbriBbt26kZOTQ2lpKV9++SU9e/ascZ/MzEwmTpzIypUrGTRoELt37+amm27igQceaMDI/bc7ZzcGTgyHjfSE1q5CDYAWEREJqqBdAsvIyODGG2/koYceYuXKlWzZsoU+ffpw4403nnC/a6+9lqysLHbu3MlXX33Fhg0b6Ny5cwNFXXu7ypfAcNqTaZPoXgRVq8CLiIgEU9ASoE8++QS73c7dd9/tCsRs5ne/+x0rV65k06ZNPvdZsmQJ3377LTNmzCA+Ph4Ai8XCNddc02Bx15ZnDqCSVqTE6RZ4ERGRxiBol8DWrl1Lp06diI2N9ZT169cPgF9//dXnZbCFCxcSGxvL0KFDWbZsGYWFhfTq1Yvk5OQa38dut2O32z2vc3NzA9cIP7gTIIc9mdSEKgmQJkEUEREJiqAlQDk5OSQmJnqVJSQkYDabyc7O9rnP0aNHSUxM5MILL6SgoACbzcaKFSt49NFHefjhh33u88wzz/DEE08EOny/VZ4EMc09B1CmboEXEREJpqBdAgsPD6ewsNCrrLi4GKfTSURERI377N27lyuuuILly5fzww8/8N577/GHP/yBlStX+tzn4YcfJicnx/PYt29fwNtSE4fTwZ5c1yrwTnv5LNCOMsgpj0EJkIiISFAELQHq1KkT+/fvxzAMT9nevXsB6NjR96Uh92DniRMnesquvPJKbDYby5cv97lPREQEcXFxXo+GcjD/ICXOEgxnGAnhrbFZLZC7H5xlYAmH2MZ7+76IiEhTFrQEaPTo0Rw/fpwffvjBUzZnzhwSEhI488wzASgtLeXjjz/2JEajR4/GYrGwbds2zz779u2juLiYNm3aNGwD/FAxADqJtHj3HWC7XX8T2oNZ81CKiIgEQ9DGAPXr148pU6Zw3XXX8Yc//IHMzEz+8pe/8PLLL3sugRUUFHDVVVfx5ptvMmXKFNq1a8cDDzzApEmTeOCBB7DZbLz44ouceeaZXHLJJcFqSo08CZA9mVT3IqhaBV5ERCTogjoR4qxZs3jzzTf57rvviIiI4NNPP2XUqFGe7VarlSuuuIJ27dp5yp5++mnOOOMMPvvsM8xmM7fddhs333wzVqs1GE04oYoeoGQfi6B2CEpMIiIiEuQEyGw2M23aNKZNm+Zze3R0NB9//HG18rFjxzJ27Nh6jq7uKvcApcRXnQNIPUAiIiLBokEo9cQwDHZll88CXZJMmmcOIN0CLyIiEmxKgOrJ8aLj5JXmgWHCWZKkS2AiIiKNiN8JkMPhoKysrD5jaVLcl7+M0hZghLkGQRdmQnGOq4ISIBERkaDxOwF64YUXeOihhzyvFyxYwIcfflgvQTUFlZfAAGgdZ6vo/YlpDeFRQYpMRERETvkS2Jo1a1iyZEkgY2lS3EtgOOzJtIwOd02CqFXgRUREGgWNAaonu3LcA6BbVV8EVZe/REREgkoJUD3xngSxygBoTYIoIiISVLWaB2jRokXcf//9AKxcuZKCggLPa7eRI0dy2WWXBS7CEJRXksexomOAexLEKrNAqwdIREQkqPxOgJKSkigqKuKrr77yKq/6OjU1tdknQO7enwgSyXPaKvUAuVaGVwIkIiISXH4nQFOmTGHKlCn1GErT4R4AHeZsDeDqASorca0EDxoELSIiEmQaA1QP3AOgHcWuW+BT422Qsw8MJ1ijICY5mOGJiIg0e7VeCywnJ4c333yTJUuWkJWVRXx8PIMGDeKmm24iKSmpPmIMOe5LYPn5LQBIS4iEjNWujYkdwGQKUmQiIiICtewB2rRpE6eddhoPPPAAO3fuxGw2s2/fPh577DG6d+/OihUr6ivOkOJOgEqKWgGQHBehNcBEREQakVr1AN10003069ePN998k+Tkiss4WVlZ3HHHHUyaNIlNmzZhNjffK2t2h50D+QcA1y3wSTERRIRZtAq8iIhII+J3prJlyxY2b97M7NmzvZIfgMTERN566y3sdjs//fRTwIMMJXtz9+I0nERaYjAcMRW3wGsSRBERkUbD7wRo1apVXHDBBcTGxvrcHh4ezqWXXsqqVasCFlwocs//E2NJAkxKgERERBohvxOg48eP06ZNmxPWadu2LceOHatzUKEsszgTAAuuRDEtIRIMo2ISRM0CLSIiEnR+J0B2u52wsBMPGbJarRQXF9c5qFCWWeRKgIyyaABS4m1QcBxKCwATJLQLYnQiIiICdVgKw5eVK1cycODAOgcVytw9QKUlrgQoNd5Wcfkrrg2ERQQpMhEREXGr81IYVaWmptY5qFDmToAKi11jf9ISInULvIiISCOjpTACzJ0A5RW4EqCUOBvs2e3a2KJDcIISERERL813wp564k6AykqiMJmgdZxNq8CLiIg0MrVKgB5++GHmz5/vc9svv/zCb37zm4AEFcrcCZDTEUNSTAThYWZNgigiItLI+J0AHTx4kDlz5nDeeef53D5gwAB++eUX1q1bF7DgQpE7ATLKYkjzzAHk7gFSAiQiItIY+J0ALVu2jH79+p3wVvgzzzyzWc8EXVhaSFFZEUD5LNCRUFoEeYdcFXQJTEREpFHwOwHav38/aWlpJ6yTlpbG/v376xxUqKqYBNEKznDXHEDZe10bI+IgqkUQoxMRERE3vxOgli1bsmvXrhPW2bVrFy1btqxzUKHKnQCFEQeYSEuoPAC6PZhMwQtOREREPPxOgM4++2wWLFjAr7/+6nP7nj17+OCDD2ocI9QcZBVnAWByxgCQEh+pAdAiIiKNkN8JUNu2bZk2bRrnnHMOzz33HGvXruX48eOsX7+emTNnMmTIEC655BL69u1bn/E2ap5b4Etds0Cnxds0CaKIiEgjVKulMF544QUsFgt//OMfeeihhzzlZrOZG2+8kX/84x8BDzCUZBRnAFBcHAlAakKkVoEXERFphGqVAFmtVl566SUefvhhfvrpJ44fP05CQgLDhg0jPT29vmIMGe4eIEdpDCYTJMdGaBV4ERGRRqhWCZBbSkoK11xzTaBjCXmeOYAc0bSKicBqArL3uDaqB0hERKTR0FIYAZRZVDEJYlJMBOQfgbJiMFkgXj1kIiIijYUSoACq3APUIjq8YgB0fFuwWIMYmYiIiFSmBCiAKhKgmPIEaLdrg8b/iIiINCpKgALEaTg98wAZZeUJkFaBFxERaZSUAAVIXkkeZUYZUPkS2G7XRiVAIiIijYoSoABxzwFkIRKMMBIrjwHSLNAiIiKNihKgAHHfAWZ2xgLQUj1AIiIijZYSoACpPAAaoKW1FAqOuTZqELSIiEijogQoQNwDoB3l64C1dh5ybYhMBFt8sMISERERH5QABYi7B6jEHgVAYvFB1waN/xEREWl0lAAFiHsQtLPM1QMUU7jPtUHjf0RERBodJUABUnkMUHykFUuO1gATERFprJQABYgnASqLcd0BplXgRUREGi0lQAFSeR2wRN0CLyIi0qgpAQoQrx6gKAtk73Vt0CBoERGRRkcJUACUOkvJsecArh6gjtYccJaC2QpxaUGOTkRERKpSAhQA2cXZ5c9MGI4oOliOul4mtgezJVhhiYiISA2UAAWA+/KXlVjATBvjsGuDxv+IiIg0SkqAAsCzEKrhWgcsuUwJkIiISGOmBCgAqq4Dlmg/4NqgAdAiIiKNkhKgAHCvBO8ocS2DEVu037VBPUAiIiKNkhKgAMiyuxZCtZevAxaRX74MhiZBFBERaZSUAAWA+xJYWWk0cRRgKV8ZnoT2QYxKREREaqIEKADcl8AMRwydwo67CqNbQURMEKMSERGRmigBCoCKWaCj6WzLcxXGpgYxIhERETkRJUAB4L4N3umIoV1EvqswNiWIEYmIiMiJKAEKgMrrgLWxuJbEICY5iBGJiIjIiSgBqqPC0kKKyooA1xigZLM7AVIPkIiISGOlBKiO3LfAW7CCM5wksl0bYloHLygRERE5oaAmQAcPHuTaa6+lZcuWtGnThvvuuw+73e7XvhkZGXTs2BGbzcaBAwfqOdKaue8As5riABMJTtdrYpUAiYiINFZhwXpjh8PBpZdeSsuWLVm2bBlZWVlcc801FBQU8Oqrr550/6lTp9KjRw92796NYRgNELFv7vE/7nXAYktdA6LVAyQiItJ4Ba0HaP78+axZs4bXXnuNLl26MGjQIJ5++mlmzZrF8ePHT7jviy++SH5+Pvfdd18DRVszdwKEIwYwiCpRAiQiItLYBS0BWrx4Me3bt6dTp06esvPPPx+Hw8HSpUtr3G/16tU899xz/Oc//8FkMjVEqCfkvgW+rDSKWIqwOIpdG5QAiYiINFpBS4AOHTpEcrL3reKtWrXCZDJx+PBhn/vk5+czfvx4Xn75Zdq2bevX+9jtdnJzc70egeTuASqxR9HKlO0qjIiD8KiAvo+IiIgETlAHQZvN3m/v7tGpaUzP3XffzfDhwxk3bpzf7/HMM88QHx/veaSnp596wD5kla/7VVQcRbI7AdIcQCIiIo1a0BKg1q1bc+zYMa+y48ePYxgGrVv7vnz0/fff884772Cz2bDZbFxyySUAdOnShd///vc+93n44YfJycnxPPbt2xfQdngmQXREV/QAaQ4gERGRRi1od4ENHTqUZ599ln379nl6Zb7//nvMZjODBw/2uc+WLVu8eoe+//57LrnkEjZs2ED79r5XXo+IiCAiIiLwDShXeRbo9uHHwUA9QCIiIo1c0HqALr74Ynr06MFdd93F8ePH2bZtG4899hgTJ04kJcXVg5KTk4PNZuO///0v4Epm3L0/NpsNq9XqKQ8LC04uV3kl+DZW90Ko6gESERFpzIKWAFmtVubNm0dhYSFpaWn069ePYcOG8corr3jqGIaB3W7H4XAEK8wTMgzDqwcozax1wEREREJB0C6BAXTq1IlvvvkGp9NZbUA0QEJCAkVFRZ6enqrOO+88ioqKsNls9R2qT7kluZQZZYDGAImIiISSoCZAbr6SH7cTJTdmszloyQ9UjP8JN0WBEUYLp+uOMPUAiYiING5aDLUOKhKgOADiHO51wNQDJCIi0pgpAaoDdwJkNmKxUkZUWbZrg2aBFhERadSUANWB+w4wHDG0pHwAtDkMIlsELygRERE5KSVAdeDuAXKURlfMAh2dDCcY0yQiIiLBp1/qOnAvhOq1DlisLn+JiIg0dkqA6sDdA1RYHFlpHTAlQCIiIo2dEqA6cC+EWlYSRSv3GCAlQCIiIo2eEqA6qFgINYZUS7arUAmQiIhIo6cEqA68lsEIy3UVagyQiIhIo6cE6BSVOcvItmcDrmUwWpt0CUxERCRUKAE6Re7kx4QZwxFFS1yvtQ6YiIhI46cE6BRlFLlugbeZYwETic7ySRG1DpiIiEijpwToFFVeByyOAsKMUtcGXQITERFp9JQAnSJ3AhRmxFXMAWSLB2vwVqcXERER/ygBOkXuBAhnDK08A6A1/kdERCQUKAE6RRXrgEWRjGtCRI3/ERERCQ1KgE6ROwEqKYmq6AGKVQ+QiIhIKFACdIoyi1wJUFGR1gETEREJNUqATpFnIdSiyIqV4JUAiYiIhAQlQKfInQA5HTHqARIREQkxSoBOUcU6YNGkmN1jgJQAiYiIhAIlQKegqKyIwrJCwLUSfCvPMhhKgEREREKBEqBTkFXsuu09zGQl3GkmjnzXBiVAIiIiISEs2AGEIvflr0hLAlGUX/6yhENkYhCjEhEREX8pAToF7gQowhRHvGcW6NZgMgUxKhEREfGXLoGdAvdK8BYjttIt8JoFWkREJFQoAToFldcBq7gFXrNAi4iIhAolQKfAMwdQabR6gEREREKQEqBTUHkdsGT3LfBaB0xERCRkKAE6Be4EqKjYVrEQqnqAREREQoYSoFPgToAKCiJpZXLNCaQxQCIiIqFDCdApcK8EX1IaVakHSJMgioiIhAolQLVkGAaZ9op1wDzLYGgdMBERkZChBKiW8krzKHOWARDngHCTw7UhWmOAREREQoVmgq4l9+UvmyWKRPcaYJEtICw8iFGJiIhIbagHqJbcA6CjLAmV5gDS5S8REZFQogSoliqvA5as8T8iIiIhSQlQLbkTIO91wJQAiYiIhBIlQLWUUexaCNXktQ6YEiAREZFQogSoltyDoB1l0ZoDSEREJEQpAaol9yWwUnu01gETEREJUUqAaqliHbBIrQQvIiISopQA1ZI7AcovtFUaA6QeIBERkVCiBKiWPJfAiizEmQpdheoBEhERCSlKgGqhzFlGjt018LmFw7UEhhFmA1t8MMMSERGRWlICVAvZ9mwMDEyYaO0oBsAUkwwmU5AjExERkdpQAlQL7stfMdZ4kk25rkKN/xEREQk5SoBqoWIdsPhKcwBp/I+IiEioUQJUC+5JECNM8SSbslyFmgNIREQk5CgBqgXPOmDE0grNAi0iIhKqlADVgjsBMju0DpiIiEgoUwJUC+4EyLUOWLarUAmQiIhIyFECVAvuleBLS6IreoBilQCJiIiEmrBgBxBK3D1AxUURJGkMkIiI+GAYBmVlZTjKJ8wV/1gsFsLCwjA10Nx6SoBqwX0XmKnQSZjJ6ZoSMbpVkKMSEZHGoqSkhEOHDlFYWBjsUEJSVFQUqamphIeH1/t7KQGqBXcPUHihHQBnZAssFmswQxIRkUbC6XSya9cuLBYLaWlphIeHN1hvRqgzDIOSkhKOHTvGrl276Nq1K2Zz/Y7SUQLkp+KyYgrLXBl9UlkxhIFJcwCJiEi5kpISnE4n6enpREVFBTuckBMZGYnVamXPnj2UlJRgs9nq9f00CNpPWcWuiQ/DzFZaO12JkFkDoEVEpIr67rloyhrys9NZ8pP78lecNYHWnmUw1AMkIiISipQA+cl9C3yUJaHSHEBaB0xERMQXh8NBSkoKP//8c7BD8SnoCdCnn37K9OnTefDBB1mxYsVJ6x84cICXXnqJ6dOn87e//Y1Dhw41QJQVPUAR5rhKcwCpB0hERELboUOHSElJ4fvvv6+2berUqdxwww2e1507d66x7ogRI0hJSeHdd98FXAObjxw5QklJSf0FXwdBTYDuu+8+pk6dSmJiIsXFxQwbNozZs2fXWP+DDz7gnHPOYdeuXXTq1ImlS5fSpUsXli5dWu+xuhOgMCNOPUAiItJkOBwOjhw5gt1ur7YtKyuLrKwsz+sjR45gMpl4/fXXveotWbKEzZs3k5mZ6ZkCICwsjEOHDjFs2LD6bcApCtpdYJs3b+bFF1/k888/55JLLgEgJiaG6dOnM3bsWMLCqoc2aNAgNm7c6JkfYPr06Vx66aX88Y9/ZMGCBfUar3sOILMzhlZkuwo1BkhERJqZG264gZkzZ5KVlUViYiIAb7zxBpMmTeKVV17x1HM4HPTr14+5c+c2yiQoaD1An3/+OQkJCYwaNcpTdt1113H06FGWLVvmc5+OHTtWmxype/fuHDlypF5jhYoeIGdZNK1MmgVaREROzjAMCkvKgvIwDKNe2tStWzcGDhzoudSVn5/PBx98wE033VSt7Y35EljQeoC2b99Oeno6FovFU9apUyfPtuHDh5/0GLm5ubz//vuMHTu2xjp2u92rWy83N/eU4vUkQHYrsaYiV6FugxcRkRMoKnVw2qNfB+W9N/55FFHh9fMzP23aNF566SXuvPNOZs+eTc+ePTn99NPr5b3qS9B6gIqKioiNjfUqi4yMxGKxUFRUdNL9y8rKmDBhApGRkTzxxBM11nvmmWeIj4/3PNLT008pXncCZC1yre1SZomE8JhTOpaIiEgoGzduHNu3b2fNmjW88cYb1Xp/QkHQeoDi4uK8BlYB5OTk4HA4iIuLO+G+DoeD66+/ng0bNrBw4UISEhJqrPvwww9z3333eV7n5uaeUhLkvg3eVr4MRllUMmGa4lxERE4g0mph459HnbxiPb23P9yzVvtav6ygoIAWLVr43GfChAn8/ve/59dff2XixIl1CzYIgpYA9e7dm1mzZlFUVERkZCQAGzZs8GyricPhYNKkSSxZsoSFCxfSsWPHE75PREQEERERdYrVMAxPD1B0ee+UEa07wERE5MRMJlO9XYYKlBYtWtCyZUs2bdrkVW4YBlu3bvW6Db6yadOmceaZZ3LDDTcQHx/fEKEGVNAugV1xxRUAzJo1y1P297//ndNOO81zHbGoqIibb77ZM4mS0+nkhhtu4KeffmLhwoWeMUP1La80jzJnGQAt7PkAWOJ0B5iIiDQNt99+OzNnzvTMx1dSUsKTTz7J0aNHmTp1qs99hgwZwuHDh73u/AolQUtLU1JS+Oc//8ntt9/OvHnzyMrKYseOHXzxxReeOna7nVmzZjFixAiGDRvGjBkzeO+99zj//PN5+umnPfWioqJ4+eWX6y1W9y3w0WHRpJAHgDVeCZCIiDQNf/rTn7BYLFx++eUUFBRQVlZG7969+eqrr+jcuXON+7VuHbo3AwW1X27y5Mmcd955LF68mIiICM4//3yvbrSoqChef/11zx1hI0eOrDb5ElDnS1wnk2V3jVWKsSaQXD4HkEl3gImISBMRHh7O448/zuOPP05+fr7npqSqdu7cWe0Gpsr27NnjGcfrngjR1xiixiDoFybT09NrHDwVHh7OzTff7Hk9aNAgBg0a1FCheVT0ACXQynTQVahJEEVEpAmKian5Dufk5BOPf63aI5SS0nh/K4O+FlgocN8BFmGqtA6YJkEUEREJWUqA/OCZA8gUVzELtC6BiYiIhCwlQH5wJ0AmRzQt0TIYIiIioU4JkB88PUAlZiwmAydmiG4V5KhERETkVCkB8oM7AQovdi2DURyeCGb/ZtgUERGRxkcJkB/cd4FFFblWtC2JVO+PiIhIKFMC5Ad3D1BM+TIYzigtgyEiIhLKlACdRJmzjGx7NgDxRa5lMEyxjXdeAxERETk5JUAnkW3PxsDAhIkku+sOsDAtgyEiIhLSlACdhPvyV3xEAq3Kb4G3JaYFMyQREZGAycrKYsqUKaxbt67atpdffpkXX3zR8/q2225jypQpbN++vVrdJ554gilTpvDDDz/UZ7gBowToJNwJUJw10TMLtBZCFRGRpqKgoIC33nqLAwcOVNv23XffsWDBAs/rt99+m/fff5/XXnvNq97evXt59tlnefvtt9m6dWu9xxwISoBOIqvYtRBqdFi8pwdI64CJiEhzdfXVV/Of//yHsrIyT9m//vUvLr30UsLCvJcYvfvuu5kyZQo33XQTjz32GGvWrGngaGumBOgk3D1A3uuA6S4wERFpnkaOHElMTAzz5s0DwOl08uabbzJt2rRqdYcPH87IkSMZPnw4ubm5nHXWWZ79gi3oq8E3dhlFroVQw41Iokx2V6GWwRAREX8YBpQWBue9rVFgMgX8sCaTialTpzJr1iyuuOIK5s+fj9Pp5KKLLqpWd8KECV6vU1JS+Mtf/sKll14a8LhqSwnQSdze93Ym9JjAJ9//DLxGsTkSW0RMsMMSEZFQUFoITwfpxpk/HITw6Ho59JQpU3jyySc5dOgQb7zxBlOmTMFiqb5CQmZmJm+//Tbbtm0jLy+PAwcOsHnz5nqJqbZ0CewkrBYryVHJ2PJcGXyBNSnIEYmIiASOe9xO5TE9bqWlpVit1mrlbdq04fzzz2fGjBl8/vnnTJ06tVqdI0eO0Lt3b+bNm0fHjh05++yz6dOnD3l5eYFvxClQD5C/8g8DYLcpARIRET9Zo1w9McF6bz+0bt2ayMhI9u3bV23b/v37Oe+883zud9NNNzFu3DhGjhxJp06dqm3/9NNPiYqK4quvvsJUfinulVdeqUUD6pcSID9ZCo8BUKZlMERExF8mU71dhgoUk8nEJZdcwr/+9S+mTJlCZGQkAD/88AO//vorM2bM8LnfmDFjePPNNznjjDNqPG5RURF2ux2bzUZOTg5///vf660dtaVLYH6KKHIlQEa0EiAREWlaXnrpJaxWK926dWPs2LFcdNFFXHLJJTz++ONccMEFPvexWq1MnjyZPn36+Nw+btw4YmNj6du3L+PGjeO0004jLi6uPptRK+oB8lNUyXEALHGpQY5EREQksNq0acNPP/3E2rVr2bFjBzExMbz11lukpnr/5r366qsMHjy4xuO8/vrrnHnmmQDEx8ezZs0avv/+e3JycnjyySeJjY3l22+/rde2+EsJkJ/iyjLBBOEJmgRRRESaHpPJRL9+/ejXr1+Nda6//voTHuOGG27wem2z2bj44ou9ym688cZTjjGQdAnMD/YyBy0M14zQUS3bBDkaERERqSslQH7ILiylVfks0FFaCFVERCTkKQHyQ0ZuAS1wzVtg1hggERGRkKcEyA8FmYcwmwwcmCGqZbDDERERkTpSAuSHwsxDAOSYE8Gsj0xERCTU6dfcD2U5rlk8860tghyJiIiIBIISID84co8AUBjeKsiRiIiISCAoAfKDpcCVAJVGah0wERGRpkAJkB/CypfBcES3DnIkIiIiEgiaCdoPkXbXMhjmWCVAIiLS9Hz44YeUlpYCEBMTQ5cuXejRo0eN9S6++GLi4+O9tn3//fccOXKEwYMH+1wdvrFRAuSHmNIMAMLiNQeQiIg0PZMnT6Z79+507dqVvLw8fvjhB8455xw++ugjrFarV72CggJeeukl7rnnHk95fn4+Y8aMIT8/n9dffz0kEiBdAvNDvCMTAFuiEiAREWmapk6dyuzZs5k3bx4rVqzg66+/5o033qhW7+yzz2bWrFleZbNnz6ZXr15ERER4lX/00UfMnj2bDz74gCVLllBcXFyvbagNJUAnYTidtCxfBywmSeuAiYhI09ejRw86duzI2rVrq20bO3Yse/bsYeXKlZ6yN954g2nTplWr++WXX/Lxxx8zZ84cpk2bRu/evdm6dWu9xu4vXQI7idzsTOJNruuicUltgxyNiIiEEsMwKCorCsp7R4ZFYjKZTmnfgoICDh8+THJycvXjRkYyceJE/vWvfzFw4EA2bNjA+vXrmTBhAnfffbdX3ddee83z3DAMbr75Zh588EE++uijU4orkJQAnURexn7igVwjiriomGCHIyIiIaSorIgh7w4Jynsvu24ZUdYov+uvWrWK2bNnk5+fz3//+18SExO57bbbfNadNm0aF1xwATNmzOD1119n3LhxxMbG+qy7detWtm3bRl5eHomJiXz11Ven1J5AUwJ0EgUZBwDIMicSF+RYRERE6svatWspLCzk+PHjLFmyhL///e+kpaX5rDtw4EDat2/Pe++9x9tvv83HH39crU5ZWRljx45l4cKFDB48mISEBI4ePcrRo0fruSX+UQJ0EiXZhwHIDdMyGCIiUjuRYZEsu25Z0N67NqZOncpdd90FwOeff84VV1xBjx49OOecc3zWnzZtGvfddx+tW7dmxIgR1bbPnTuXxYsXs2vXLhITEwF4++23Wbx4cS1bUj+UAJ2Eex2wAqtWgRcRkdoxmUy1ugzVWFx22WVce+213H333axZswazj4XAJ02axJIlSxgzZozPY7jHELmTH4D//e9/9RZzbekusJOwF9vJN2wU27QOmIiINB9PPfUUmzdv5r///a/P7S1atOC9995j4sSJPrePHj2anTt3cuuttzJr1izGjh3LokWL6jPkWlECdBKHTr+NW9M/YUe/B4MdioiISL0YO3Ys3bp18yrr1KkTzz//PBs3bvSq17lz5xqPc+2113q2d+vWjSVLlmCz2fjxxx8ZMWIE8+bNY/z48fXTiFoyGYZhBDuIhpSbm0t8fDw5OTnExWlYs4iIBEZxcTG7du2iY8eO2Gy2YIcTkk70GQb691s9QCIiItLsKAESERGRZkcJkIiIiDQ7SoBERESk2VECJCIiIs2OEiAREZEAamY3VwdUQ352SoBEREQCwGq1AlBYWBjkSEKX+7Nzf5b1SUthiIiIBIDFYvEs+AkQFRWFyWQKclShwTAMCgsLOXr0KAkJCVgslnp/TyVAIiIiAZKSkgLQaFY8DzUJCQmez7C+KQESEREJEJPJRGpqKsnJyZSWlgY7nJBitVobpOfHTQmQiIhIgFkslgb9MZfa0yBoERERaXaUAImIiEiz0+wugbnnGMjNzQ1yJCIiIuIv9+92oOYKanYJUEZGBgDp6elBjkRERERqKyMjg/j4+Dofp9klQC1atABg7969AfkAQ0Vubi7p6ens27ePuLi4YIfTYNRutbs5ULvV7uYgJyeHdu3aeX7H66rZJUBms2vYU3x8fLP64rjFxcWp3c2I2t28qN3NS3Ntt/t3vM7HCchRREREREKIEiARERFpdppdAhQREcFjjz1GREREsENpUGq32t0cqN1qd3Ogdgem3SajIdeeFxEREWkEml0PkIiIiIgSIBEREWl2lACJiIhIs9Ps5gHavHkzRUVF9OrVi/Dw8GCHU+/WrFlDfn6+V1lKSgpdunQJUkT1p6ioiNWrV9OmTRvat2/vs052djbbt28nJSWFtm3bNnCE9eNE7c7MzGTjxo3V9hk8eHDIf//3799PZmYmnTt3Jjo62medpni+T9Tupny+MzIy2LNnD+np6bRq1cpnnaZ4vk/U7qZ8vt2WLFlCREQEZ5xxRrVtdT7fRjOxd+9eo2/fvkbLli2Njh07Gq1atTIWLFgQ7LDqXd++fY0OHToYw4cP9zyeffbZYIcVUEeOHDF++9vfGqmpqYbNZjMefPBBn/Wef/55w2azGT179jQiIyON8ePHG3a7vYGjDRx/2v3RRx8ZZrPZ6/wPHz7cOHr0aBAiDoxPP/3U6N27t9GmTRujT58+RnR0tPHoo49Wq9fUzrc/7W6K53vTpk3GqFGjjJSUFKN///5GVFSUcdlllxk5OTle9Zra+fan3U3xfFf20ksvGWaz2ejevXu1bYE4380mARo5cqQxcuRIzwf04IMPGomJiUZWVlZwA6tnffv2NZ5//vlgh1Gvli9fbsyYMcPIyMgwevXq5TMRWLhwoWEymYyvv/7aMAzD2LNnj5GcnGw88cQTDR1uwPjT7o8++siIjo4OQnT156WXXjLWr1/veb1o0SLDarUa77//vqesKZ5vf9rdFM/3F198YSxevNjz+siRI0bbtm2N3/3ud56ypni+/Wl3UzzfbqtXrzbS09ONKVOmVEuAAnW+m0UCtHPnTgMwvvrqK09ZVlaWYbVajTfffDN4gTWAvn37Go888oixfPly48CBA8EOp97VlAjceOONxplnnulVdv/99xvt27dvoMjq18kSoI0bNxq//vqrUVRUFITo6l+/fv2Mu+++2/O6qZ9vt6rtbi7n+6KLLjImTJjged1cznfVdjfV852Xl2d0797d+Oyzz4wHH3ywWgIUqPPdLAZBr169GoABAwZ4yhISEujatatnW1P24osvcsstt9CjRw8GDx7s85pxU7d69Wqv8w+u6+R79uwhKysrSFE1jIKCAi6//HKuuuoqEhMTefLJJ4MdUkBlZWWxY8cOr3FtzeF8+2o3NN3zvXjxYr799lueeOIJ1qxZw+9+9zvPtqZ8vk/Ubmia5/vOO+/kvPPO47LLLvO5PVDnu1kMgs7MzASotoJsy5YtPduaqnvvvZfx48djs9nIzc1l/PjxXHXVVfz666/NahbRzMxMWrZs6VXmfp2ZmUliYmIwwqp36enprFy50vOPxZdffsmYMWNo27YtU6dODXJ0dWcYBr/5zW9ITExk8uTJnvKmfr5randTPt8PPfQQhYWFbNmyhZtvvplevXp5tjXl832idjfF8/3222+zfPlyVq1aVWOdQJ3vZtEDZLVaAbDb7V7lRUVFTWakfE0mT56MzWYDXCsHP//882zduvWEX66myGq1Ulxc7FVWVFQE0KS/AwMGDPD6L6WLL76YK664gtmzZwcxqsC55557+O677/j000+Jj4/3lDf1811Tu5vy+V68eDGrVq1ix44dfP3119xxxx2ebU35fJ+o3U3tfGdkZHD77bdzxx138Msvv7B48WL2799PUVERixcv9vTuBOp8N4sEyH1r8IEDB7zKDx48SLt27YIRUtC0bt0aqP5ZNHXt27ev1uYDBw5gtVpJSUkJUlTB0bp16yZx/u+9917eeecdvvnmG/r27eu1rSmf7xO125emcr7dUlJSuOGGG/jyyy89ZU35fLv5arcvoXy+i4uL6du3L++//z4PPfQQDz30EIsWLeLYsWM89NBDbNq0CQjc+W4WCdCQIUOIjY3l008/9ZStWLGCgwcPcuGFFwYxsvpVWFiIUWWpt/nz5wN4daM2BxdeeCHz58/36gX85JNPGDlypKeHsCkqKCjwel1WVsbChQvp3bt3kCIKjPvuu4+33nqLb775xuf8IE31fJ+s3U3xfFdtE8D27du9LoE0xfPtT7ub2vlu06YNixcv9npcf/31tGvXjsWLFzNs2DAgcOe7WYwBioyM5PHHH+dPf/oTNpuNpKQk/vjHPzJmzBjPB9oUbdiwgenTpzN16lTat2/PqlWrePrpp7nlllvo2bNnsMMLmNLSUpYtWwa4kr79+/ezePFi4uLiOP300wG44447eO2117j66qu57bbbWLhwIQsWLGDRokXBDL1O/Gn3TTfdRPv27RkxYgSlpaW88sorHDx4kA8++CCYodfJo48+yksvvcQLL7zg6RoHSEpKokePHkDTPN/+tLspnu/JkyfTtWtXhg4ditlsZv78+fz3v//l3Xff9dRpiufbn3Y3xfPtj0Cd72a1Gvx7773H7NmzKSoq4txzz+Xee+/1jI9pqtauXctrr73Gtm3baNOmDVdddRVjxowJdlgBlZmZ6bNNvXr14tVXX/W8PnDgAM899xwbNmwgNTWVu+++myFDhjRkqAHlT7vtdjuvv/463333HU6nk969ezN9+vQaZ9INBTfffDObN2+uVn7uued63QHT1M63P+1uiufb3abvv/8eu91Oly5duOWWW6r1Yje18+1Pu5vi+a7qlVde4ccff+Sdd97xKg/E+W5WCZCIiIgINJMxQCIiIiKVKQESERGRZkcJkIiIiDQ7SoBERESk2VECJCIiIs2OEiARERFpdpQAiYiISLOjBEgkiFavXs2PP/4Y7DBqZd26dXz33XfBDuOENm3axIIFCzyv/Yk5FNoVKKH4vRMJtGaxFIZIMG3cuJFt27YRGxtLz549SU1N9Wx766232L59O2eddVYQI6yd999/n8WLF3PeeeedtO6J2l6fPvnkEz7++GMuuOACoHrMv/76K5mZmYwcOdKzT23aVRdbtmxh9erV9OnTx2tW39LSUj788EPOPfdcz6LF9SUUv3cigaYESKSerFy5kptuuonDhw8zePBgSkpK2Lx5M4MGDeL111+nRYsWwQ6x3jS2tp9++umEh4d7Xr/77rusXLnSKwGqWqe+fPbZZ/z+97+ne/furF+/nrAw1z/DBQUFTJw4kW+++abeEyARUQIkUi82b97Mueeey4033sgLL7zg9cP6ySefUFBQ4JUEFBcXs2bNGrKzsxk0aJDXis/btm3jl19+ASA2NpbevXvTvn17r/dbvXo1+fn5DBo0qMbj+FPHbdOmTWzZsoW0tDT69+9fqxWWa9N2wzBYsWIF+/fvp2PHjvTv37/W7QJX78mPP/6I0+mkX79+1WLq2bMnSUlJgKsHZtOmTRw5coTZs2cDMGLECK86boGKr6qEhASOHj3KrFmzuPXWW33WWbp0KSaTyWt9o40bN3Lw4EFPz5b7/QcOHMiaNWs4fvw4I0aMIDExkcLCQn766ScAhg0bRnR0dLX3KCwsZPXq1WRlZXHWWWcRHx9frc6Jvgvu9x8wYAA///wz+fn5XHnllSdsu0hjoQRIpB48/vjjJCUlVUsAAK644gqv17t27WLgwIGkpaWRlZXFjh07+OabbxgwYIBn+8cffwxATk4OP/74I9OnT+epp57yHOOtt97im2++wWQy1Xgcf+oUFxczadIkfvrpJwYOHMiuXbswmUx89tlndOjQIaBtz87O5pJLLmH37t3069eP5cuXM3jwYD766CMiIiL8jjkjI4PzzjuPzMxMevfuzbp16+jcubPX+1a+vLVt2za2bdtGZmam53Pt2LEjn332mdclsEDF50t0dDT33HMPjz/+OJMmTfKZnMycOZOwsDCvBGju3Ll8/vnnngTorbfe4quvvqKkpIRu3bqxf/9+Dh06xAsvvMATTzxBt27d2LVrFw6HgxUrVpCQkOA51s6dO+nXrx/p6ekcO3aMgwcP8tVXXzFw4EDAv+/CW2+9xfz58zEMg7Zt29KxY0clQBI6DBEJuISEBOOuu+46ab3p06cbYWFhxooVKzxlV111lXH11VfXuM/mzZuNyMhIY/Xq1bU6jj91HnjgAWPEiBFGYWGhYRiG4XQ6jalTpxqXXnqpp84jjzxinHPOOTXG52/bf/vb3xo9evQwsrKyDMMwjAMHDhitW7c2nnvuuVrFfPfddxt9+/Y18vLyDMMwjO3btxvR0dHGkCFDaoz5wQcfNM4//3yveKrWCVR8VT3//PNGmzZtjKKiIqNt27bGk08+aRiGYWRlZRmA8c033xiGYRjXX3+9MXnyZK99n3zySa92ud9/1apVhmEYRllZmdGrVy8jIiLCWL9+vWEYhlFSUmJ07NjRmDFjhtd+gPHRRx8ZhuE6z5MmTTIGDBjgqePPd2H69OmGyWQyfvjhhxrbK9JY6S4wkQArKSkhOzubdu3a+VV/0KBBnv/qBjjnnHPYsmWLV52CggJ+/PFH5syZw+rVq0lOTmbFihW1Ps7J6rz55pv06dOHefPmMWfOHObMmUNKSgoLFy7EMIyAtn327Nnccccdnl6JtLQ0pk6d6rks5W/MH3zwAbfffjsxMTEAdO7cmWuuueak799Q8dXEZrPx5z//mb/+9a8cO3bslOMcPHiw59KcxWJh0KBBDB8+3DPA2mq1MmDAALZu3eq1X5cuXTy9NSaTiQceeIBffvmFHTt2AP5/F/r166fB1BKSdAlMJMDCw8MJDw8nIyPDr/pVBwRHRERQXFzsef31119z3XXXkZ6eTocOHbDZbOTn53P06NFaHedkdQoLCzl27BgbN24kMzPTq95ll11GSUmJ59JPTfxtu91u5/Dhw3Tq1MmrvHPnzuzZs8fvmO12O0eOHKl2ea5jx45+JSH1Hd/JTJ48mRkzZvDkk0/y5z//+ZRiTUxMrPb+vsqqxuTrMwPYs2cPqampfn8XGurOPpFAUwIkUg8GDRrE0qVLA3Kse++9l9/+9rf86U9/8pR16dLFrx6Z2rDZbISHh3Pdddfxm9/85pSP40/bIyIiiIuLq/bjmpmZWW0g8smOExsbS1ZWlld51de1Faj4TsZsNvPMM89wzTXXMHny5GrbnE6nV5m/iZU/avrMkpKSavVdMJlMAYtJpCHpEphIPbjvvvtYtGgRH330UbVtOTk55Obm+n2sw4cP0717d8/r1atXs3PnzoDEWZnZbObCCy/k9ddfx+FweG07cOCA38fxt+3Dhw9n7ty5nm2GYfDhhx8yYsSIWsU9fPhwz2BmcN0R9tlnn51wn5iYmJMmE4GK72Quv/xyzjzzTB555BGv8jZt2rB9+3avsoULFwbsfdesWcPu3bs9r+fOnUurVq3o1q1bwL4LIo2ZeoBE6sHVV1/Nk08+ycSJE5k4cSIjRoygpKSEDRs28MUXX/Dtt98SFxfn17GuvPJKHnroITIyMsjLy+OFF17wjHcJtBdffJFzzjmHESNGcN111+F0Olm0aBExMTH85z//8esY/rb92WefZdiwYVx//fWMHDmSTz/9lJ07d/K///2vVjE/+eSTjBgxgqlTpzJ06FBmz55NXl4eycnJNe4zcOBAnn76aV5++WWSk5N9JjWBis8fzz33HMOGDfMqu+666/jb3/7GXXfdRb9+/fj888/ZunVrtctypyouLo7Ro0dz1113ceTIEZ5//nlefPFFbDYbEJjvgkhjpgRIpJ788Y9/ZNy4ccyZM4fFixcTExND7969efrppz3JzxlnnEFaWprXfl26dOGyyy7zvH7llVd49dVXWb58OfHx8cydO5cvvvjCaxZhf47jT50uXbqwfv16/v3vf7Nq1SoSEhKYMmUKY8aM8dTxZ8JAf9p++umns2bNGmbNmsWPP/7IGWecwSuvvEKbNm1qFfPAgQNZunQpb7zxBmvXruWWW24hKiqKlStX1hjz6NGjeeONN1i0aBE///wzHTt2rFYnUPFV1aNHj2pTIQwdOpRHH32ULVu2kJKSAkCfPn34+eefefvtt1m7di2TJ09m8uTJrFq16oTvP2jQIPLy8qod32w2V9tv6NChfPLJJ2RlZTFnzhwuv/xyr3ac7Lvg6/1FQoXJCPRAAhEREZFGTmOAREREpNlRAiQiIiLNjhIgERERaXaUAImIiEizowRIREREmh0lQCIiItLsKAESERGRZkcJkIiIiDQ7SoBERESk2VECJCIiIs2OEiARERFpdpQAiYiISLPz/wEHUlR9gskY/AAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def cond_hist(scenario):\n", " \"\"\"Generates a histogram of the channel condition numbers\"\"\"\n", " \n", " # Setup a CIR generator\n", " if scenario == \"umi\":\n", " channel_model = UMi(carrier_frequency=carrier_frequency,\n", " o2i_model=\"low\",\n", " ut_array=ut_array,\n", " bs_array=bs_array,\n", " direction=\"uplink\",\n", " enable_pathloss=False,\n", " enable_shadow_fading=False)\n", " elif scenario == \"uma\":\n", " channel_model = UMa(carrier_frequency=carrier_frequency,\n", " o2i_model=\"low\",\n", " ut_array=ut_array,\n", " bs_array=bs_array,\n", " direction=\"uplink\",\n", " enable_pathloss=False,\n", " enable_shadow_fading=False)\n", " elif scenario == \"rma\":\n", " channel_model = RMa(carrier_frequency=carrier_frequency,\n", " ut_array=ut_array,\n", " bs_array=bs_array,\n", " direction=\"uplink\",\n", " enable_pathloss=False,\n", " enable_shadow_fading=False)\n", " \n", " topology = gen_topology(1024, num_ut, scenario)\n", "\n", " # Set the topology\n", " channel_model.set_topology(*topology)\n", " \n", " # Generate random CIR realizations\n", " # As we nned only a single sample in time, the sampling_frequency\n", " # does not matter.\n", " cir = channel_model(1, 1)\n", " \n", " # Compute the frequency response\n", " h = cir_to_ofdm_channel(frequencies, *cir, normalize=True)\n", " \n", " h = torch.squeeze(h)\n", " h = torch.permute(h, (0, 3, 1, 2))\n", " \n", " # Compute condition number\n", " c = np.reshape(np.linalg.cond(h.cpu().numpy()), [-1])\n", " \n", " # Compute normalized histogram\n", " hist, bins = np.histogram(c, 100, (1, 100))\n", " hist = hist/np.sum(hist)\n", " return bins[:-1], hist\n", "\n", "plt.figure()\n", "for cdl_model in [\"umi\", \"uma\", \"rma\"]:\n", " bins, hist = cond_hist(cdl_model)\n", " plt.plot(bins, np.cumsum(hist))\n", "plt.xlim([0,40])\n", "plt.legend([\"UMi\", \"UMa\", \"RMa\"]);\n", "plt.xlabel(\"Channel Condition Number\")\n", "plt.ylabel(\"CDF\")\n", "plt.title(\"CDF of the channel condition number\");" ] }, { "cell_type": "markdown", "id": "535a6770-7857-4b28-9605-2f7699a5c6ad", "metadata": {}, "source": [ "From the figure above, you can observe that the UMi model\n", "is slightly better conditioned than the UMa and RMa models. This makes \n", "it more suitable for MIMO transmissions as we will observe in the next\n", "section.\n", "\n", "It is also interesting to look at the channel frequency responses of these different models, as done in the next cell:" ] }, { "cell_type": "code", "execution_count": 11, "id": "5d9d6c37-b96d-4967-804e-ec628209ba58", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T21:22:49.995649Z", "iopub.status.busy": "2026-08-06T21:22:49.995509Z", "iopub.status.idle": "2026-08-06T21:22:50.295221Z", "shell.execute_reply": "2026-08-06T21:22:50.294452Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def freq_response(scenario):\n", " \"\"\"Generates an example frequency response\"\"\"\n", " \n", " # Setup a CIR generator\n", " if scenario == \"umi\":\n", " channel_model = UMi(carrier_frequency=carrier_frequency,\n", " o2i_model=\"low\",\n", " ut_array=ut_array,\n", " bs_array=bs_array,\n", " direction=\"uplink\",\n", " enable_pathloss=False,\n", " enable_shadow_fading=False)\n", " elif scenario == \"uma\":\n", " channel_model = UMa(carrier_frequency=carrier_frequency,\n", " o2i_model=\"low\",\n", " ut_array=ut_array,\n", " bs_array=bs_array,\n", " direction=\"uplink\",\n", " enable_pathloss=False,\n", " enable_shadow_fading=False)\n", " elif scenario == \"rma\":\n", " channel_model = RMa(carrier_frequency=carrier_frequency,\n", " ut_array=ut_array,\n", " bs_array=bs_array,\n", " direction=\"uplink\",\n", " enable_pathloss=False,\n", " enable_shadow_fading=False)\n", " \n", " topology = gen_topology(1, num_ut, scenario)\n", "\n", " # Set the topology\n", " channel_model.set_topology(*topology)\n", " \n", " # Generate random CIR realizations\n", " # As we nned only a single sample in time, the sampling_frequency\n", " # does not matter.\n", " cir = channel_model(1, 1)\n", " \n", " # Compute the frequency response\n", " h = cir_to_ofdm_channel(frequencies, *cir, normalize=True)\n", " h = h.squeeze()\n", "\n", " return h[0,0]\n", "\n", "plt.figure()\n", "for cdl_model in [\"umi\", \"uma\", \"rma\"]:\n", " h = freq_response(cdl_model)\n", " plt.plot(np.real(h.cpu()))\n", "plt.legend([\"UMi\", \"UMa\", \"RMa\"]);\n", "plt.xlabel(\"Subcarrier Index\")\n", "plt.ylabel(r\"$\\Re(h)$\")\n", "plt.title(\"Channel frequency response\");" ] }, { "cell_type": "markdown", "id": "50b6b276-cc49-4c34-b230-da335fbe57c6", "metadata": {}, "source": [ "The RMa model has significantly less frequency selectivity than the other models which makes channel estimation easier." ] }, { "cell_type": "markdown", "id": "c51efaff-c18c-4f26-87a4-e5a7b51b11ec", "metadata": {}, "source": [ "### Setup a Sionna Block for BER simulations" ] }, { "cell_type": "code", "execution_count": 12, "id": "c9b30ed0-ad9e-4e47-8321-11a4a7c165a3", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T21:22:50.297519Z", "iopub.status.busy": "2026-08-06T21:22:50.297377Z", "iopub.status.idle": "2026-08-06T21:22:50.306026Z", "shell.execute_reply": "2026-08-06T21:22:50.305316Z" } }, "outputs": [], "source": [ "class Model(Block):\n", " \"\"\"Simulate OFDM MIMO transmissions over a 3GPP 38.901 model\"\"\"\n", " def __init__(self, scenario, perfect_csi):\n", " super().__init__()\n", " self._scenario = scenario\n", " self._perfect_csi = perfect_csi\n", " \n", " # Internally set parameters\n", " self._carrier_frequency = 3.5e9\n", " self._fft_size = 128\n", " self._subcarrier_spacing = 30e3\n", " self._num_ofdm_symbols = 14\n", " self._cyclic_prefix_length = 20\n", " self._pilot_ofdm_symbol_indices = [2, 11] \n", " self._num_bs_ant = 8\n", " self._num_ut = 4\n", " self._num_ut_ant = 1\n", " self._num_bits_per_symbol = 2 \n", " self._coderate = 0.5\n", " \n", " # Create an RX-TX association matrix\n", " # rx_tx_association[i,j]=1 means that receiver i gets at least one stream\n", " # from transmitter j. Depending on the transmission direction (uplink or downlink),\n", " # the role of UT and BS can change. \n", " bs_ut_association = np.zeros([1, self._num_ut])\n", " bs_ut_association[0, :] = 1\n", " self._rx_tx_association = bs_ut_association\n", " self._num_tx = self._num_ut\n", " self._num_streams_per_tx = self._num_ut_ant\n", "\n", " # Setup an OFDM Resource Grid\n", " self._rg = ResourceGrid(num_ofdm_symbols=self._num_ofdm_symbols,\n", " fft_size=self._fft_size,\n", " subcarrier_spacing=self._subcarrier_spacing,\n", " num_tx=self._num_tx,\n", " num_streams_per_tx=self._num_streams_per_tx,\n", " cyclic_prefix_length=self._cyclic_prefix_length,\n", " pilot_pattern=\"kronecker\",\n", " pilot_ofdm_symbol_indices=self._pilot_ofdm_symbol_indices)\n", "\n", " # Setup StreamManagement\n", " self._sm = StreamManagement(self._rx_tx_association, self._num_streams_per_tx)\n", "\n", " # Configure antenna arrays\n", " self._ut_array = AntennaArray(\n", " num_rows=1,\n", " num_cols=1,\n", " polarization=\"single\",\n", " polarization_type=\"V\",\n", " antenna_pattern=\"omni\",\n", " carrier_frequency=self._carrier_frequency)\n", "\n", " self._bs_array = AntennaArray(num_rows=1,\n", " num_cols=int(self._num_bs_ant/2),\n", " polarization=\"dual\",\n", " polarization_type=\"cross\",\n", " antenna_pattern=\"38.901\",\n", " carrier_frequency=self._carrier_frequency)\n", "\n", " # Configure the channel model\n", " if self._scenario == \"umi\":\n", " self._channel_model = UMi(carrier_frequency=self._carrier_frequency,\n", " o2i_model=\"low\",\n", " ut_array=self._ut_array,\n", " bs_array=self._bs_array,\n", " direction=\"uplink\",\n", " enable_pathloss=False,\n", " enable_shadow_fading=False)\n", " elif self._scenario == \"uma\":\n", " self._channel_model = UMa(carrier_frequency=self._carrier_frequency,\n", " o2i_model=\"low\",\n", " ut_array=self._ut_array,\n", " bs_array=self._bs_array,\n", " direction=\"uplink\",\n", " enable_pathloss=False,\n", " enable_shadow_fading=False)\n", " elif self._scenario == \"rma\":\n", " self._channel_model = RMa(carrier_frequency=self._carrier_frequency,\n", " ut_array=self._ut_array,\n", " bs_array=self._bs_array,\n", " direction=\"uplink\",\n", " enable_pathloss=False,\n", " enable_shadow_fading=False)\n", "\n", " # Instantiate other building blocks\n", " self._binary_source = BinarySource()\n", " self._qam_source = QAMSource(self._num_bits_per_symbol)\n", "\n", " self._n = int(self._rg.num_data_symbols*self._num_bits_per_symbol) # Number of coded bits\n", " self._k = int(self._n*self._coderate) # Number of information bits\n", " self._encoder = LDPC5GEncoder(self._k, self._n)\n", " self._decoder = LDPC5GDecoder(self._encoder)\n", " self._mapper = Mapper(\"qam\", self._num_bits_per_symbol)\n", " self._rg_mapper = ResourceGridMapper(self._rg)\n", "\n", " self._ofdm_channel = OFDMChannel(self._channel_model, self._rg, add_awgn=True,\n", " normalize_channel=True, return_channel=True)\n", "\n", " self._remove_nulled_subcarriers = RemoveNulledSubcarriers(self._rg)\n", " self._ls_est = LSChannelEstimator(self._rg, interpolation_type=\"nn\")\n", " self._lmmse_equ = LMMSEEqualizer(self._rg, self._sm)\n", " self._demapper = Demapper(\"app\", \"qam\", self._num_bits_per_symbol)\n", "\n", " def new_topology(self, batch_size):\n", " \"\"\"Set new topology\"\"\"\n", " topology = gen_topology(batch_size,\n", " self._num_ut,\n", " self._scenario,\n", " min_ut_velocity=0.0,\n", " max_ut_velocity=0.0)\n", "\n", " self._channel_model.set_topology(*topology)\n", "\n", " def call(self, batch_size, ebno_db): \n", " self.new_topology(batch_size) \n", " no = ebnodb2no(ebno_db, self._num_bits_per_symbol, self._coderate, self._rg)\n", " b = self._binary_source([batch_size, self._num_tx, self._num_streams_per_tx, self._k])\n", " c = self._encoder(b)\n", " x = self._mapper(c)\n", " x_rg = self._rg_mapper(x) \n", " y, h = self._ofdm_channel(x_rg, no)\n", " if self._perfect_csi:\n", " h_hat = self._remove_nulled_subcarriers(h)\n", " err_var = 0.0\n", " else:\n", " h_hat, err_var = self._ls_est (y, no)\n", " x_hat, no_eff = self._lmmse_equ(y, h_hat, err_var, no)\n", " llr = self._demapper(x_hat, no_eff)\n", " b_hat = self._decoder(llr)\n", " return b, b_hat " ] }, { "cell_type": "markdown", "id": "3fc8be0d-96fb-4c15-9234-0c13efa1250a", "metadata": {}, "source": [ "If you do not want to run the simulations (which can take quite some time) yourself, you can skip the next cell and simply look at the results in the next cell." ] }, { "cell_type": "code", "execution_count": 13, "id": "fbe0e7ab-69fb-4f23-9dd9-23773a6c6655", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T21:22:50.308543Z", "iopub.status.busy": "2026-08-06T21:22:50.308419Z", "iopub.status.idle": "2026-08-06T21:58:35.795049Z", "shell.execute_reply": "2026-08-06T21:58:35.794089Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n", "---------------------------------------------------------------------------------------------------------------------------------------\n", " -5.0 | 3.0055e-02 | 3.1613e-01 | 165451 | 5505024 | 1133 | 3584 | 392.9 |reached target block errors\n", " -3.0 | 2.2364e-03 | 2.4970e-02 | 138941 | 62128128 | 1010 | 40448 | 2.7 |reached target block errors\n", " -1.0 | 2.3691e-04 | 2.4849e-03 | 146443 | 618135552 | 1000 | 402432 | 26.5 |reached target block errors\n", " 1.0 | 4.2201e-05 | 4.2969e-04 | 33188 | 786432000 | 220 | 512000 | 33.9 |reached max iterations\n", "\n", "Simulation stopped as target BLER is reached @ EbNo = 1.0 dB.\n", "\n", "EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n", "---------------------------------------------------------------------------------------------------------------------------------------\n", " -5.0 | 2.8746e-01 | 1.0000e+00 | 452131 | 1572864 | 1024 | 1024 | 97.0 |reached target block errors\n", " -3.0 | 2.0981e-01 | 9.9414e-01 | 330002 | 1572864 | 1018 | 1024 | 0.1 |reached target block errors\n", " -1.0 | 5.9920e-02 | 4.2148e-01 | 235616 | 3932160 | 1079 | 2560 | 0.2 |reached target block errors\n", " 1.0 | 9.4109e-03 | 6.9908e-02 | 214631 | 22806528 | 1038 | 14848 | 1.0 |reached target block errors\n", " 3.0 | 1.9161e-03 | 1.2066e-02 | 245622 | 128188416 | 1007 | 83456 | 5.5 |reached target block errors\n", " 5.0 | 6.6485e-04 | 3.5191e-03 | 290189 | 436469760 | 1000 | 284160 | 18.9 |reached target block errors\n", " 7.0 | 3.9876e-04 | 1.8965e-03 | 313594 | 786432000 | 971 | 512000 | 35.4 |reached max iterations\n", " 9.0 | 3.0267e-04 | 1.5020e-03 | 238032 | 786432000 | 769 | 512000 | 38.1 |reached max iterations\n", " 11.0 | 2.7829e-04 | 1.5313e-03 | 218857 | 786432000 | 784 | 512000 | 36.4 |reached max iterations\n", " 13.0 | 3.2608e-04 | 2.0177e-03 | 248231 | 761266176 | 1000 | 495616 | 35.0 |reached target block errors\n", " 15.0 | 3.2822e-04 | 2.2517e-03 | 224569 | 684195840 | 1003 | 445440 | 31.4 |reached target block errors\n", "EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n", "---------------------------------------------------------------------------------------------------------------------------------------\n", " -5.0 | 4.7559e-02 | 3.9141e-01 | 187009 | 3932160 | 1002 | 2560 | 398.1 |reached target block errors\n", " -3.0 | 6.8877e-03 | 6.5299e-02 | 162502 | 23592960 | 1003 | 15360 | 1.0 |reached target block errors\n", " -1.0 | 1.1275e-03 | 1.1194e-02 | 155175 | 137625600 | 1003 | 89600 | 5.9 |reached target block errors\n", " 1.0 | 2.2505e-04 | 2.3169e-03 | 149199 | 662962176 | 1000 | 431616 | 28.7 |reached target block errors\n", " 3.0 | 5.1520e-05 | 5.0000e-04 | 40517 | 786432000 | 256 | 512000 | 34.3 |reached max iterations\n", "\n", "Simulation stopped as target BLER is reached @ EbNo = 3.0 dB.\n", "\n", "EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n", "---------------------------------------------------------------------------------------------------------------------------------------\n", " -5.0 | 2.9153e-01 | 1.0000e+00 | 458542 | 1572864 | 1024 | 1024 | 97.8 |reached target block errors\n", " -3.0 | 2.1200e-01 | 9.8438e-01 | 333444 | 1572864 | 1008 | 1024 | 0.1 |reached target block errors\n", " -1.0 | 7.9336e-02 | 4.8320e-01 | 311961 | 3932160 | 1237 | 2560 | 0.2 |reached target block errors\n", " 1.0 | 2.3781e-02 | 1.4802e-01 | 261825 | 11010048 | 1061 | 7168 | 0.5 |reached target block errors\n", " 3.0 | 7.0130e-03 | 4.2459e-02 | 253703 | 36175872 | 1000 | 23552 | 1.6 |reached target block errors\n", " 5.0 | 2.5946e-03 | 1.4715e-02 | 271385 | 104595456 | 1002 | 68096 | 4.6 |reached target block errors\n", " 7.0 | 1.1946e-03 | 6.3271e-03 | 290303 | 243007488 | 1001 | 158208 | 10.6 |reached target block errors\n", " 9.0 | 8.0990e-04 | 4.1913e-03 | 296810 | 366477312 | 1000 | 238592 | 16.1 |reached target block errors\n", " 11.0 | 6.7248e-04 | 3.7705e-03 | 273949 | 407371776 | 1000 | 265216 | 18.0 |reached target block errors\n", " 13.0 | 5.9010e-04 | 3.7560e-03 | 241319 | 408944640 | 1000 | 266240 | 19.9 |reached target block errors\n", " 15.0 | 6.5201e-04 | 4.2402e-03 | 236896 | 363331584 | 1003 | 236544 | 17.6 |reached target block errors\n", "EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n", "---------------------------------------------------------------------------------------------------------------------------------------\n", " -5.0 | 4.1968e-02 | 3.1780e-01 | 231037 | 5505024 | 1139 | 3584 | 1.0 |reached target block errors\n", " -3.0 | 9.0981e-03 | 7.5421e-02 | 186030 | 20447232 | 1004 | 13312 | 3.8 |reached target block errors\n", " -1.0 | 2.2940e-03 | 1.9531e-02 | 180407 | 78643200 | 1000 | 51200 | 14.5 |reached target block errors\n", " 1.0 | 5.7785e-04 | 5.2698e-03 | 168597 | 291766272 | 1001 | 189952 | 53.6 |reached target block errors\n", " 3.0 | 1.5064e-04 | 1.3262e-03 | 118470 | 786432000 | 679 | 512000 | 143.6 |reached max iterations\n", " 5.0 | 4.7307e-05 | 4.1992e-04 | 37204 | 786432000 | 215 | 512000 | 143.6 |reached max iterations\n", "\n", "Simulation stopped as target BLER is reached @ EbNo = 5.0 dB.\n", "\n", "EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n", "---------------------------------------------------------------------------------------------------------------------------------------\n", " -5.0 | 2.8313e-01 | 1.0000e+00 | 445330 | 1572864 | 1024 | 1024 | 0.3 |reached target block errors\n", " -3.0 | 1.7859e-01 | 9.5833e-01 | 421341 | 2359296 | 1472 | 1536 | 0.4 |reached target block errors\n", " -1.0 | 5.9854e-02 | 3.4961e-01 | 282426 | 4718592 | 1074 | 3072 | 0.9 |reached target block errors\n", " 1.0 | 2.0416e-02 | 1.2219e-01 | 256898 | 12582912 | 1001 | 8192 | 2.3 |reached target block errors\n", " 3.0 | 7.3370e-03 | 4.3707e-02 | 259652 | 35389440 | 1007 | 23040 | 6.5 |reached target block errors\n", " 5.0 | 2.3016e-03 | 1.4328e-02 | 247980 | 107741184 | 1005 | 70144 | 19.9 |reached target block errors\n", " 7.0 | 8.4893e-04 | 5.1231e-03 | 255033 | 300417024 | 1002 | 195584 | 55.3 |reached target block errors\n", " 9.0 | 3.0066e-04 | 1.8301e-03 | 236450 | 786432000 | 937 | 512000 | 144.2 |reached max iterations\n", " 11.0 | 1.0128e-04 | 6.2891e-04 | 79651 | 786432000 | 322 | 512000 | 144.0 |reached max iterations\n", "\n", "Simulation stopped as target BLER is reached @ EbNo = 11.0 dB.\n", "\n" ] } ], "source": [ "SIMS = {\n", " \"ebno_db\" : list(np.arange(-5, 17, 2.0)),\n", " \"scenario\" : [\"umi\", \"uma\", \"rma\"],\n", " \"perfect_csi\" : [True, False],\n", " \"ber\" : [],\n", " \"bler\" : [],\n", " \"duration\" : None,\n", " \"batch_size\" : 128\n", "}\n", "\n", "start = time.time()\n", "\n", "for scenario in SIMS[\"scenario\"]:\n", " for perfect_csi in SIMS[\"perfect_csi\"]:\n", "\n", " model = Model(scenario=scenario,\n", " perfect_csi=perfect_csi)\n", " model._channel_model.allocate_topology_tensors(batch_size=SIMS[\"batch_size\"], num_bs=1, num_ut=model._num_ut)\n", "\n", " ber, bler = sim_ber(model,\n", " SIMS[\"ebno_db\"],\n", " batch_size=SIMS[\"batch_size\"],\n", " max_mc_iter=1000,\n", " num_target_block_errors=1000,\n", " target_bler=1e-3,\n", " compile_mode=\"reduce-overhead\",\n", " verbose=True\n", " )\n", "\n", " SIMS[\"ber\"].append(list(ber.cpu().numpy()))\n", " SIMS[\"bler\"].append(list(bler.cpu().numpy()))\n", "\n", "SIMS[\"duration\"] = time.time() - start" ] }, { "cell_type": "code", "execution_count": 14, "id": "7c0427ed-c7fd-4593-9cdb-13d8876b261f", "metadata": { "execution": { "iopub.execute_input": "2026-08-06T21:58:35.798030Z", "iopub.status.busy": "2026-08-06T21:58:35.797726Z", "iopub.status.idle": "2026-08-06T21:58:36.100986Z", "shell.execute_reply": "2026-08-06T21:58:36.100062Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.xlabel(r\"$E_b/N_0$ (dB)\")\n", "plt.ylabel(\"BLER\")\n", "plt.grid(which=\"both\")\n", "\n", "i=0\n", "legend = []\n", "for scenario in SIMS[\"scenario\"]:\n", " for perfect_csi in SIMS[\"perfect_csi\"]:\n", " if scenario==\"umi\":\n", " r = \"r\"\n", " t = \"UMi\"\n", " elif scenario==\"uma\":\n", " r = \"b\"\n", " t = \"UMa\"\n", " else:\n", " r = \"g\"\n", " t = \"RMa\"\n", " if perfect_csi:\n", " r += \"-\"\n", " else:\n", " r += \"--\"\n", "\n", " plt.semilogy(SIMS[\"ebno_db\"], SIMS[\"bler\"][i], r);\n", " s = \"{} - {} CSI\".format(t,\"perf.\" if perfect_csi else \"imperf.\")\n", "\n", " legend.append(s)\n", " i += 1\n", "plt.legend(legend)\n", "plt.ylim([1e-4, 1])\n", "plt.title(\"Multiuser 4x8 MIMO Uplink over Different 3GPP 38.901 Models\");" ] }, { "cell_type": "markdown", "id": "53a18c80-2bba-449a-b2c2-5e75ee2196f6", "metadata": {}, "source": [ "The RMa model achieves the worst performance with perfect CSI. However, as a result of the smaller frequency selectivity, imperfect channel estimation only leads to an almost constant 6dB performance loss. For the UMI and UMa models, the used channel estimator with nearest-neighbor interpolation is not accurate enough so that the BER curves saturate at high SNR. This could, for example, be circumvented with another interpolation method (e.g., [linear interpolation with time averaging](https://nvlabs.github.io/sionna/phy/api/ofdm/sionna.phy.ofdm.LinearInterpolator.html)) or a different pilot pattern." ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.12" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": {}, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 5 }