{
 "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": "2026-02-13T16:57:42.279374Z",
     "iopub.status.busy": "2026-02-13T16:57:42.279195Z",
     "iopub.status.idle": "2026-02-13T16:57:45.131479Z",
     "shell.execute_reply": "2026-02-13T16:57:45.130384Z"
    }
   },
   "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": "2026-02-13T16:57:45.133974Z",
     "iopub.status.busy": "2026-02-13T16:57:45.133668Z",
     "iopub.status.idle": "2026-02-13T16:57:45.141894Z",
     "shell.execute_reply": "2026-02-13T16:57:45.141104Z"
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import torch\n",
    "import time\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": "2026-02-13T16:57:45.143995Z",
     "iopub.status.busy": "2026-02-13T16:57:45.143871Z",
     "iopub.status.idle": "2026-02-13T16:57:45.146457Z",
     "shell.execute_reply": "2026-02-13T16:57:45.145712Z"
    }
   },
   "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": "2026-02-13T16:57:45.148473Z",
     "iopub.status.busy": "2026-02-13T16:57:45.148349Z",
     "iopub.status.idle": "2026-02-13T16:57:45.823334Z",
     "shell.execute_reply": "2026-02-13T16:57:45.822372Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "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": "2026-02-13T16:57:45.825363Z",
     "iopub.status.busy": "2026-02-13T16:57:45.825221Z",
     "iopub.status.idle": "2026-02-13T16:57:45.828644Z",
     "shell.execute_reply": "2026-02-13T16:57:45.827863Z"
    }
   },
   "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": "2026-02-13T16:57:45.830445Z",
     "iopub.status.busy": "2026-02-13T16:57:45.830322Z",
     "iopub.status.idle": "2026-02-13T16:57:46.038832Z",
     "shell.execute_reply": "2026-02-13T16:57:46.037716Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "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": "2026-02-13T16:57:46.040960Z",
     "iopub.status.busy": "2026-02-13T16:57:46.040798Z",
     "iopub.status.idle": "2026-02-13T16:57:46.240377Z",
     "shell.execute_reply": "2026-02-13T16:57:46.239391Z"
    }
   },
   "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": "2026-02-13T16:57:46.242155Z",
     "iopub.status.busy": "2026-02-13T16:57:46.242011Z",
     "iopub.status.idle": "2026-02-13T16:57:46.404954Z",
     "shell.execute_reply": "2026-02-13T16:57:46.403966Z"
    }
   },
   "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": "2026-02-13T16:57:46.407194Z",
     "iopub.status.busy": "2026-02-13T16:57:46.407053Z",
     "iopub.status.idle": "2026-02-13T16:57:46.523391Z",
     "shell.execute_reply": "2026-02-13T16:57:46.522364Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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7uxMUFMShQ4cc2s/epHQqlcqh5dJVAxPtsXnzZu6++266dOnCZ599RmBgIBqNhoULF/LDDz+U2N7eGT6DBg2ic+fO/Pbbb6xevZpp06YxZcoUfv31V/r27etwO8t6zTeD8v69Tp8+TY8ePWjQoAEfffQRISEhaLVali9fzsyZM0sMGHbk37+8bYuPvWjRImrVqlViu8pOiVDa74/FYqFXr15MmjSp1H2KP3gdoVAoSn0/rh5cb7FY8Pf3t+mZudLVwVll/u0NGTKEadOm8fvvv/PII4/www8/MGDAAJug91qufi+L/y2ff/75Er1uxYq/hHXp0oXTp0/zxx9/sHr1ar766itmzpzJ3LlzGTVqlMOvxRH2vIflXT+KX+u0adNo1qxZqccrDpgr+1p0uxGBkFCuAQMGMG/ePLZv325zG6s0oaGhWCwWTp48af22BJCUlERmZiahoaGV2jaLxcKZM2dsPkhOnDgBYJ05s3TpUvR6PatWrUKn01m3W7hw4XWfPzAwkKeffpqnn36a5ORkWrRowXvvvUffvn2tr/X48eMleiOOHz9eae/Flee58hugwWAgNjaWnj17OnzM4uM4GgCXZdmyZRQVFfHnn3/afFuu7NtSpSm+ReHv71+h96Ky2pCbm1vu+UNDQ1m3bh25ubk2vULHjx8vsa2Xl1eptwqv7p2IjIxk7dq1dOzYsdKm8UdGRtr1u9GkSROaN2/O999/T+3atTl//jyzZ8+u8HmLfy81Go1d/5be3t4MHz6c4cOHk5ubS5cuXXjzzTdtAiF7riGhoaGsXbuWnJwcm16hY8eOWddXxLWuH8W/t+7u7na91msdS7g2MUZIKNekSZNwcXFh1KhRJCUllVh/+vRpPv74YwD69esHwKxZs2y2+eijjwB5fExlmzNnjvVnSZKYM2cOGo2GHj16APK3M4VCYfNN+ezZs/z+++8VPqfZbC4xrsXf35+goCDrrbdWrVrh7+/P3LlzbW7HrVixgqNHj1bae9GzZ0+0Wi2ffPKJzTfO+fPnk5WVVaHz+Pn50aVLFxYsWMD58+dt1lWkZ6D4G/KV+2ZlZVVKMFqePn364O7uzvvvv4/RaCyxvrSp9pVt0KBBbN++nVWrVpVYl5mZiclkAuS/H5PJZJNWwGw2lxo8REZGcuzYMZv279+/v8TU6kGDBmE2m3nnnXdKHMNkMtmkWLDXwIED2b9/P7/99luJdVf/fgwePJjVq1cza9YsfHx8ruuD2d/fn27duvHFF19w8eLFEuuvfC/S0tJs1rm6ulK3bt0SaTyg/GtIv379MJvNNtsBzJw5E4VC4fBrsuf60bJlSyIjI5k+fTq5ubllvlZ7jiVcm+gREsoVGRnJDz/8wEMPPUTDhg1tMktv27aNxYsXM2zYMACaNm3K0KFDmTdvHpmZmXTt2pX//vuPb775hnvvvZc77rijUtum1+tZuXIlQ4cOpW3btqxYsYK///6bl19+2drl379/fz766CPuvPNOHn30UZKTk/n000+pW7cuBw4cqNB5c3JyqF27Ng888ABNmzbF1dWVtWvXsnPnTmbMmAHI31qnTJnC8OHD6dq1K4888ghJSUl8/PHHhIWF8eyzz1bKe+Dn58dLL73EW2+9xZ133sndd9/N8ePH+eyzz2jdurXdA1Ov9sknn9CpUydatGjBE088QXh4OGfPnuXvv/9m3759Dh2rd+/eaLVa7rrrLsaMGUNubi5ffvkl/v7+pX6gVSZ3d3c+//xzBg8eTIsWLXj44Yfx8/Pj/Pnz/P3333Ts2LHEB1xle+GFF/jzzz8ZMGAAw4YNo2XLluTl5XHw4EGWLFnC2bNn8fX15a677qJjx45MnjyZs2fP0qhRI3799dcSH3QAI0aM4KOPPqJPnz6MHDmS5ORk5s6dS+PGjW0GqXft2pUxY8bwwQcfsG/fPnr37o1Go+HkyZMsXryYjz/+mAceeMDh17NkyRIefPBBRowYQcuWLUlPT+fPP/9k7ty5NG3a1Lrto48+yqRJk/jtt9946qmn0Gg0FX8jgU8//ZROnToRHR3N6NGjiYiIICkpie3bt3PhwgX2798PyIO+u3XrRsuWLfH29mbXrl0sWbLEZmA02HcNueuuu7jjjjt45ZVXOHv2LE2bNmX16tX88ccfTJgwwWZgtD3suX4olUq++uor+vbtS+PGjRk+fDjBwcHEx8ezfv163N3dWbZsmV3HEspRAzPVhJvUiRMnpNGjR0thYWGSVquV3NzcpI4dO0qzZ8+2mcpqNBqlt956SwoPD5c0Go0UEhIivfTSSzbbSJI8Vbe06a1AiamgxdNpp02bZl02dOhQycXFRTp9+rTUu3dvydnZWQoICJDeeOMNm2nkkiRJ8+fPl6KioiSdTic1aNBAWrhwYalTpUs795XriqfPFxUVSS+88ILUtGlTyc3NTXJxcZGaNm1aas6fn3/+WWrevLmk0+kkb29v6bHHHpMuXLhgs03xa7mavdO5JUmeLt+gQQNJo9FIAQEB0lNPPWWTq+jK49kzfV6SJOnQoUPSfffdJ3l6ekp6vV6qX7++TX6Vso5XPLX9yhw9f/75pxQTEyPp9XopLCxMmjJlirRgwYIS25X1e3H1dPHic+zcudNmu/Xr15dItVC8vE+fPpKHh4ek1+ulyMhIadiwYdKuXbtKvJ7yXGv6fFlTtnNycqSXXnpJqlu3rqTVaiVfX1+pQ4cO0vTp021y+aSlpUmDBw+W3N3dJQ8PD2nw4MHS3r17S0yflyRJ+u6776SIiAhJq9VKzZo1k1atWlVqHiFJkqR58+ZJLVu2lJycnCQ3NzcpOjpamjRpkpSQkFBu+0ubqp+WliaNHTtWCg4OlrRarVS7dm1p6NChNrlyivXr169EqoxrKe3v/UqnT5+WhgwZItWqVUvSaDRScHCwNGDAAGnJkiXWbd59912pTZs2kqenp+Tk5CQ1aNBAeu+992zea0euITk5OdKzzz4rBQUFSRqNRoqKipKmTZtmM7Vdksq+hoSGhkpDhw6VJMmx68fevXul+++/X/Lx8ZF0Op0UGhoqDRo0SFq3bp3DxxJKp5CkCvRzC8INYNiwYSxZsqTUbmNBuJWcPXuW8PBwFi5caO19vZncd999HDx4kFOnTtV0U2yIa4gAYoyQIAiCUIUuXrzI33//zeDBg2u6KYJQKjFGSBAEQah0sbGxbN26la+++gqNRsOYMWNqukmCUCrRIyQIgiBUuo0bNzJ48GBiY2P55ptvSs3hJAg3AjFGSBAEQRCE25boERIEQRAE4bYlAiFBEARBEG5bYrB0OSwWCwkJCbi5udldP0sQBEEQhJolSRI5OTkEBQWhVJbd7yMCoXIkJCSUqIQuCIIgCMLNIS4ujtq1a5e5XgRC5SgusBcXF4e7u3sNt0YQBEEQBHtkZ2cTEhJiUyi3NCIQKkfx7TB3d3cRCAmCIAjCTaa8YS1isLQgCIIgCLctEQgJgiAIgnDbEoGQIAiCIAi3LREICYIgCIJw2xKBkCAIgiAIty0RCAmCIAiCcNsSgZAgCIIgCLctEQgJgiAIgnDbEoGQIAiCIAi3LREICYIgCIJw2xKBkCAIgiAIty0RCAmCIAiCcNsSRVcFwUGmlBQkg0F+otagCfC3rjMmJYHJZH2u8vNDqdVWdxMFQRAEO4lASBAckDZ/PsnTpluf6xo2JOK3X63Pzw0ZgvHceetzTVAQESuWo9TpqrWdgiAIgn3ErTFBcED+rt3yD2o1Cp0OhVZjs16p1crLLwU+xoQECg8fqe5mCoIgCHYSPUKC4ABzdjYAwdOn435nnxLrI5Yts/4c99TT5K5fT+HBAzi3aF5tbRQEQRDsJ3qEBMEBluwsAFQe7uVu69Q0BoCC/QeqtE2CIAhCxYlASBAcYM7OAUDpVn4g5NyqFS6dOuHUXPQGCYIg3KgUkiRJNd2IG1l2djYeHh5kZWXh7l7+h59ways6E4s5KxN9/foonZ1rujmCIAhCGez9/BZjhATBAbqI8JpugiAIglCJxK0xQahiprQ0imJja7oZgiAIQilEICQIdjKlppLyyWwyfvrJ7n0yf/2Nkx07kfTe+1XYMkEQBKGiRCAkCHYyxseT+tlnpM370u59dFFRABQcPIgYjicIgnDjEYGQINjJOmPMw8PuffT166HQarFkZWE8d66qmiYIgiBUkAiEBMFO5uIcQm5udu+j0GrRN2wIyL1CgiAIwo1FBEKCYCdLjtwjZE8yxSvpRWJFQRCEG5aYPi8IdjJnyeU17EmmeCWn6BgygIKDIhASBMF+q8+u5s3tb2IwG9AoNWx/dLt13cQNE9l0YZPN9g29G7KgzwI0Ks3VhxKuQfQICYKdLDlyIKRyMLFmcamNoiNHsRgMld4uQRBuTSvPriTHkEORuYgic5HNOqPZaF1e/NiXso+j6UdrqLU3L9EjJAh2svYIuds/RghAExKC99Ch6Bo0AIulKpomCMItKK0gDYBX275K59qdbda92eFNm+Do1a2vsjNxJ8fSjxHjF1Ot7bzZiUBIEOzk+/RTeNx/Hxp/f4f2UygUBLw0GZCn4GesXFXmts5t2uAU3eS62ikIwq0hpSAFgLpedQlyDbJZ5+PkY/M82jeafcn7yCzKrK7m3TJEICQIdtIEBqIJDLyuYxjOnSN52rQy1/u/+KIIhARBACC1IBUAPye/crcdHT2asc3HolGK8UGOEoGQIFQjla8vHvfcXeZ6XWQEAJIkIRUWonRyqq6mCYJwA8kz5lFgKgDA18m33O1dta5V3aRblqg+Xw5RfV4olv7NNwC4DxiA2sennK0rLmfDBhJfex1dwwbUmTevys4jCMKNy2QxEZsVS1phGu0C29V0c25Kovq8IFSylM8+x5KVhUvHjlUaCKm9vTGlpCAZjUiShEKhqLJzCYJwY1Ir1UR5RRFFlN37fHngS1adXcXomNH0CetTha27tYjp84JgB8lisSZUVFZxz6CuQQMUGg3mzEyMFy5U6bkEQbh1JOUncTzjOIfTDtd0U24qIhASBDtY8vKsU98dzSPkKKVWi664LMcBkYRREG5HOxN3Mu/APHZc3GH3PvW96wNwPP14VTXrliQCIUGwgyVbziGk0GpR6vVVfj6n6GgACg+I+mSCcDvaGr+V2Xtn88/5f+zep6G3/AXqWPoxxPBf+4lASBDsYL4UCCkdrDNWUU4xciAkeoQE4fZknTrvXP7U+WJ1PeuiVChJL0y35iASyicCIUGwgzn7UsFVB+uMVZQ+Ws4MW3jkCJLRWC3nFAThxlEcCNkzdb6YXq0n3D0ckHuFBPuIQEgQ7GDOzgKqfnxQMW1YKC4dOuD18ENYCgur5ZyCINw4KhIIwfWPE5Ikyea2mtlixmQxlfowW8wVOseNRkyfFwQ7uLRpQ+iPP6BQV8+fjEKppM6C+dVyLkEQbjzFt7bsySp9pUY+jTiSdgSdSufwOeOy4xi2chh/3PuHNUHjW9vf4rdTv5W6vV6lZ0a3GXSp3cXhc91IRCAkCHZQeXjg3Lx5TTdDEITbgMliIqMwAyhZU6w8QxoNYWjjoQ6f02g2MmnTJJILkskozLArU3XLWi0dPs+NSARCwk0tbeHX5O/eVWK50tmZ4KlTrc9TPvmEothYfEaMsM7IuhlY8vIoOn0apxhRTVoQbhfphelISKgUKrx0Xg7tW9EErLP3zeZQ2iHcNG6olCrr8sltJvNcq+dK3Uev1leo5+lGIwIh4aZlTEoiecqUUtepPDxsnmf/vRzDuXNIBYWEzP3c4XPlbtyI4exZnFq1wqlx4wq111GmjAxOduwEkkS9nTtRubpUy3kFQahZXnovfrv7NzKKMmyCEkdYJAsmiwmtSlvuttvit7Hw0EIA3u74tk2le2eNc4XOfzMRgZBw0yo6cRIATe3a+IwaZbNOobX943ft1pX0b77FcPZshc6V9dffZC9bhv+kSdUWCKm9vFDXCsCUcJHCw4dxadumWs4rCELN0ig11PWqW+H9P9r9Eb8c/4WhjYfSP7y/zToPnQceOvmLosFsIDYrlpe3vAzAoHqD6Bna0+7zWCQL57LP4a51d/gW3o1EBELCTcu1cyfq7fgXU2oqusjIa27rPXSoHAjFxyOZzShUjn3LKk6oqHJ3q3B7K8IpOoachIsUHNgvAiFBqEGSJPHiphfZkrAFgG/u/IYoL7kO2NeHvmbeQdsCyWqFmrHNxzKo/qBqb6tGqSHPmMdn+z7js32f2ax7utnTPNX0KQDOZZ/jgWUPAHIOohdav+DQeZ7f+Dxrzq1hcpvJPNbwscppfA0QgZBwU1N5eJS4DVYadUAACo0GyWjEeDERbe1gh85jTahYTdPniznFRJOzahUZP/5Iwb79KPV6gmdMt65PmT2HwmOX84UonZ3xf3YCmqCg0g4nCEIF5RpzWXF2hfW5RbJYfy4yF5FjyCmxzy/Hf6lQILQlfguHUw/TulZrWgS0cHj/O8Pu5K/Tf5FlyCqxTqPUWH9WKpS4aFzw1Hkyrcs09GrHsuZHekay5twajqQdcbiNNxIRCAm3BYVKhSYkBMOZMxjPn3M8EMop7hGq3kDIuY3cC2RKuEhuwkWUrrYzOQr27iVv2zabZUonJwLffqva2igIt4O0gjQAnNXO/DzgZ5txNA/Vf8im2ntaYRrDVg7jdOZpisxFDg8o3hC3gZ+P/8wTMU9UKBCK8opi1QOryt0u0jOSfx/91+HjFysu6SECIUGoAcbERBJenIxT06b4PTuh5EwJiwUK0iE/HYqyoTALrZcWA2DYugQX7TGwmEGpAoVK/r9aD1oX0DiDzg2cfeSH1gVLVs0EQk7R0YR89RXGhHgAFGqNzXrvoUNwu1O+ABsTEkib+wU5q1dT67VXUWg0JY4nCELFpBemA/J09jCPMJt1nnpPPPWe1ueh7qHcEXIHoe6hFJoKHQ6EKppMsbo18mkEwJmsMxSYCnBSO9VwiypGBELCTanw4EHyd+zAnBSHf0cXyDwHGWchKw5yk+WHZJv11EVyQRWmQXP6O8grsv9kKh3mdHkgoHLLexBfF7wjwCcSfOqCawBUcMqqPVw7dSx7Xdeu1p8lk4nMxUswp6WR9++/uHbuXGVtEoTbjTUQ0pc/KFihUPBJ908qfC5rnbFykikWmczkFZnJKzKRZzBhMkvo1Eo0KiU6jRJvFy06dcVmndkjwDkAb7036YXpnMg4QVO/plV2rqokAiHhxmc2QepxiN8DCXsh8QAFq84AOvSKk7DiGgP89B6g8wC9O94hrqDRg0orPxRKkCzyw2ICYwEY8sCYD4XZkJ8G5iIshiJrTKU6+zckXFXVWecBAY0vP4JbgH8jUFVvj4xCrca9Xz8Mp0+h0N38uT0E4UZSHAh5672r/FxX9ggZTBZOJedyLDGbY4k5nE3NIyGrgITMQtLzDOUey8tZQ4C7ntpeTtSv5UbDQHcaBroT7uOCUnl9X+AUCgUNfRqyNX4rR9KOiEBIECqNyQDxu+HcFji7FeL+A2OezSaFqfLFSF/HGxp0Bs9Q8AoFjxBwD5R7aVz8ri8YkSQw5qPISiK043YsyedRRrhAdhyknYb005B5Hoqy4Pw2+VFM7QSBTSGkNYR2hDrtwcmz4m2xU8DLL1U4oZogCGWr7VabuyPvtt4OskdWURbns88T7Wd/EtesAgPJeXJ5jVeXnuP4hQSMZuma++g1Sly0alRKBUazBYPJQpHJgskikZFvJCPfyLHEHNYeTbbu4+2ipUOkD52jfOkU5UewZ8VuazXybsTW+K0cTTtaof1vBArpyupqQgnZ2dl4eHiQlZWFezWPD7mtZMXDqTVwcg2c2QhXz8DQukFQMwhqjhTYlJOjp2HOzCbs559wamr/txDJaMQYH48mNLRyAgZTEaSehKTDkHQIEg9A/F45OLKhgFrRULcHRPWB2q1BJb6HCMKt6mLuRXov7Y1GqWHHozvQXONLWWxqHuuOJrH2aBI7zyfgHPUmADnH3gFJg5teTcNAdxoFuhPp50KQpxNBnk4Eeuhx02tQldKzI0kSWQVGkrKLSMwu5FxaHkcvZnPkYg7HE7MpNFpstm9Rx5N7mwfTLzoQX1f7e5T3Je9jc/xm2tZqS5vAGyvFh72f3yIQKocIhKpQ5nk48of8uLDTdp2zL4R1hNBOENpBvtWkVAJgvHiRU3d0B7Wa+rt2otTbN+VTMpk43qIlksFA3Y0b0QT4V/YrklkskHYK4nfB+e1yr1b6adtt9J4Q1UsOiur2AOfK7W43JidTdPSozRgiQRCqjyRJdPypIzmGHBbftZgG3g1s1sel57PsQAJ/7kvgWOLlL35KbTIukR+hxplXmyyldZg3Id5OldrTazBZ2BeXyZZTqWw5mcK+uEwslyIBlVJB9wb+jOwUTttw75u6h9nez++b6ivppk2bmDZtGrt37+bixYv89ttv3HvvvdfcZ8OGDUycOJHDhw8TEhLCq6++yrBhw6qlvUIpCrPh8G+w73uI23HFCgXUbgVRveUAoVZTa+BztYJDhwDQ1a1rdxAE8hgadUAAxrg4jOfP2R0IGc6eJXfjRjR16uB2xx3l76BUgl89+dHsUXlZ9kU4uxlOrpZ7vQoz4eBi+aFQQkhbaHgXNBkIbrXsfk2lKToTy5n+/VHodNTbugWliyjNIQjXK60gDVetq90zwBQKBY28G7EjcQdH0o7QwLsBBQYzfx+8yM87z7PzbIZ1W41KQdtwH7o38KdL/Y4oNF3IMeTQzL92lbwWrVpJm3Bv2oR7M7FXPZKzC1l24CJ/7otn/4Us1hxJYs2RJJoEuzOqUwQDYgJRq0q/Ht8KbqpAKC8vj6ZNmzJixAjuv//+crePjY2lf//+PPnkk3z//fesW7eOUaNGERgYSJ8+fcrdX6hEF3bBzq/g8O9gKri0UCGPn2l8LzQYII/tsYMlJxeVpyf6xvbfqy+mrVMHY1wchvPncW7d2q59Cg4eIumDD3Fu186+QKg07oEQM0h+mE1yD9jJVXBiNSQflnuOzm+H1a9CeBeIHiQHRnrHeyG14WFo6oRgPHeenPUb8BjQv/ydBEG4pmErh3E2+ywL+yykVa1Wdu3TyEcOhLZf2M/+I/X4dW88OYUmQJ5o2j7Ch3uaBXFn40A8nK+8deZZ+S/gGvzd9YzsFM7ITuGcSs5hwdazLN19gUPx2Uz4eR+z/znJC33q06dxrVJ7iNIL0zmUeggfJx8a+1RPCaLKdFMFQn379qVv3752bz937lzCw8OZMWMGAA0bNmTLli3MnDlTBELVwVQkBz7/fSEPfi7mWw+aPQYxD9kd/FzJ8/778LjvXqTCQof31YbWIW/rVgznztu9jzlbHu9TaTmEVGoIbS8/er4JmXFwfIXcO3ThPzizQX789SzUv1MOiqJ6gdr+b6Lu/fqR9vlcMr7/HsloBEATFGQt0yFJElm//3F5H7Ua1y6d7crSLQi3I0dnjUmShGSQE7f+fXwn+Wflv70Qbycebl2HgS1qU8vDsUzO1aGuvxvv3xfN873r88OOc8zfEsvplDye/G4PTUM8ealvA9pF2KYQWHRkEV8d/IqBUQNp3EEEQjeU7du307OnbQG5Pn36MGHChJpp0O3CkAe7v4Ftn0DORXmZSgtNHoBWI+RbYNd531mhUKBwcnyWg6ZOHbmJ5+0PhCw58v17ZVXVGfMMgbZPyI/0WDi0BA4sllMGFI+hcvaF5o9Dy2HgHV7uId379iXt87kU7N1Lwd69ALjdeadNvbKLL71ku8+AAQRPn1apL00QbgVGs5Fsg5xUtbxAyGS28Of+BD7fcJpTmQW4RoJSd5HejXx5vF0Ener6XnPa+rrz6ziZcZJ2ge1o5t+sMl+GQ7xdtIztHsWQDmF8tekMX22JZX9cJg/P+5f7WwTzSr+G+FwaVF2cYfpw2mHr+wSgV+nRquQC2CaLiXxTfqnnclY7o1bWXDhySwdCiYmJBAQE2CwLCAggOzubgoICnEr5IC0qKqKo6HKyvezs7BLbCGUoyoH/5sH2T+UcPACutaD1KPkD3PXaycHsIUnSdQ3e01oDoXN272O2ZpWuht4S73Do8gJ0fl6egXZwMRxcIgeUW2fB1o/lwdWtRsgDrcuYeaavVw+/CePJ373n8rIGtoM1XS4lXJQKC8nfuZPcjRuRTCYU6lv6siAIDivuDVIpVLjrSu8ZLjKZWbo7ns83niIuXb7976L1R40TJmUBL9zlTZRX+dfAdefWsezMMrQqbY0GQsXc9Rom9q7P4PZhzFp7gh/+O8+ve+L551gyL/dtyIOtaltTChxLP0bHHy8ngL2yGOuBlAMMXTm01HN82/dbmvs3r/oXUwZxxbvKBx98wFtviTpNDjEZYM83sHEKXMp/gVcYdHoWmj5i9y0de+SsWUPShx/i3rcvAS84VikZLgdCxvNxdgdVl+uMVWPleYVCzkMU2BR6vAknVsKuBXB6HZxaKz/cg6HFUGgxpNRbjL5PPnmNwyuo86VcLVsymznRvgOW7GwKDh7EuXnNXZAE4UZUHAh56b1QKmwHDZstEr/uucCstSeJz5QDIG8XLSM7hTO4fShLTyXhonHBx6n8jNQAKQXyNbS8rNLVzc9Nx3v3RfNAy9q8/Nshjl7MZtLSA/x98CLTHoihTa02/Jf4X003s0Ju6UCoVq1aJCUl2SxLSkrC3d291N4ggJdeeomJEydan2dnZxMSElKl7bxpSZI8A2zd25ARKy/zjoCuk+XZT3bmyTGlp3PukUcxXrxI8MyPcOvRA4Ds5ctJmGx7+0Yym8FsxpxVsqqyPTQhIbgPGIA2NBRMJrCjHldxnbHqrjxvpVJDwwHyI/0M7P4a9n4H2fGw4X3YNA2iH4D2Y6FWE4cPr1CpcGnfnpxVq8jbtk0EQoJwldLGB0mSxNqjyUxbdYwTSbkABLjreKJLJI+0CcFZK1//hjcZ7tC5irNK2xs4VbfmdbxYNrYjC7eeZfrq42w8kULfjzcz9YH3mNvLts1KLgeNzfybsWfwnqsPB8g9bTXplg6E2rdvz/Lly22WrVmzhvbt25e5j06nQyfKE5Qv+Sgsf0GeEg7g4g/dXpR7KBzM5py7cROGc/KtKslyOcmXZJGQDKWkkFcocOveo0LNVup0Do+DMV8aI6RyuwHySHlHQK+34Y5X4Ogy+O9LiPsX9v8oPyK7ywFRZHeHxmG59e6FQq3GKdr+DLhC1bMYDGQv+wvzNW7Rewzoj9rvxuo9ODd8OJSRoc4pugn+zz1XvQ26TlcHQrvOpvPhimPsOidPgfdw0vB0t0iGdghDr7m+D3V764zVJLVKyeguEXSt78f/ftzLscQcRn6zm2Edwni5X0O06pJT7ZUKZYnetBvFTRUI5ebmcurUKevz2NhY9u3bh7e3N3Xq1OGll14iPj6eb7/9FoAnn3ySOXPmMGnSJEaMGME///zDL7/8wt9//11TL+HmV5QDGz6EHXPl+lxqvXwLrP1Y0LlW6JCFBw8C4PnQQ7h26mRd7tb9Duqu/6fE9konJ1SenhU6V0UEvDQZU2IiugYNq+2c5VLr5F6g6Afgwm7YPlseVH36H/nh3xg6jJN75tTacg/n0b8/Hv3FNPsbTdHxE+SsXUvBvn2YMzJK3ca5VSvUfn5YCgowJiSg8vRE7VOzvQn5/+6Qe4xLobCjF/ZGE+gSyN2Rd+OhDmHUNzutpSp0aiUjOoXzZJfIq6a/X2aRLBxNO8qR9CPcX/d+VMqyAyWj2UhmUSZw41eeB6gX4Mbvz3Rk6srjLNgay9fbznI4IYvPHmuJn9vN06FwU2WW3rBhA3eUksdl6NChfP311wwbNoyzZ8+yYcMGm32effZZjhw5Qu3atXnttdccSqgoMktf4dQ6WDZervAOcu6fPu/LNb6uQ+yghyg8cICg6dOrJeeNZDJhvHgRJMk6ZuiWkHEW/p0Le769XJvNLQg6joeWQ0FTsVpCQs0yZ2aSPGsWlvzSZ9z4jRuHNiSEuLFjyV27joBXX8X78cequZVQcPAgKk9PNEFBZK9cWeZ2aj8/XNrcWKUYypNVYGTW2hN8u/0cZouESqlgUKvajO9Rr9wp8GaLmfY/tqfAVIC33hsFtj21I5qMYEjjIQBsjd/Kk2ufRK1Us+fxPTdVVud1R5OY8NM+copM1HLXM29IS2Jqe9Zom0SJjUoiAiGgMAtWvQJ7F8nPPUOh/0cQ1fPa+9lBMhg43rIVktFI5KqV8tidKpb21VckT5+B+113ETxtapWfr9oVZMjjiP6dC7mJ8jIXf+gwFlqNLLPnTpIkik6exJyWhss1bh+XxRgfT+Yff4DJXOp6r0cfQe0rf8vN2/Eflvy8iieoFEpI+uAD0r/5Fu8RIwiY5PhEgushGY0ci44BIGr7NtReXtfcPvWLeZjSUvEbO7by8nNVAYtFYumeC0xZeYzUXPk2fZ/GAUy6swGRfvb3gE9YP4F159eVum5ss7GMaToGkGddPbjsQVr4t+Cbvt9c/wuoZqdTcnni212cTslDq1Yy7YEY7mkWXGPtuSVLbAg14OwW+PUJeWAuQJsx0OP1Ct8Gu1rhyZNIRiNKd3drjp+qpgmxfwq9ZLGQsWgRSncP3Pv3Q6kt/zZTjXPykm9XtntaLmWyeSZknYc1r8OWWdD+aWjzBOht0wHkbdpE3Jgn0YTWoe6qVQ6fNv7FFynYtbvM9W539rEGQjlr15Lxww/U27qlWm9z3mzMWVko3d3t6hnQBMsfOMb4+KpuVgnmzEz5B6XSrqSc6QsWYM7KwuvBB2/YQOjghSxe//MQe89nolDlEuHnzVt3N6NzlONjd6Z3nc7ZrLNYsJRY56O/fBszzD2MpXcvJdy9/FxhN6JIP1d+f6Yjz/68n7VHkxj/0z6Ss4sY3SWippt2TSIQEkpnNsnT4TdPB8kCXuFwz6dyIdRKVHTsGABOTRpXWzewNvTSFHo7sktbcnNJ+uBDANz796vSdlU6tU7ON9R8MBz4BTbPkIu//vMubJ0NbcdAu6esBV+dWrYCtRrjufMY4uLQOjhbMnjqVOInTUIbFoZSW3J8gMrD0/pzxiK5d9GYnCwCoTJIZjMnOnVGqdUSsXx5ubXxajIQMqXL45dUnp4oyqgReCWVtzfmrCxMGRncaCNJMvIMTF99nB/+O48kgYtWRUDDH0gxnEFy+hRwPBBSK9XU9apb7nZ6tZ56XvUq0Oobh5tew7zBLXlv+VHmb4nlveVHScwu5JV+Da+ZSLImiUBIKCkzDpaOvFwUtdnj0HdKpfUCXcnj/vtx6dgRS25upR+7LJra8ge8OTOT7DVrUDo549rpcoBXcPAQ5gx5logpTf6/Qq+/OXqDSqPSQPPHoOnDcrqDTdMg5Rhsmgr/fgatR0L7cahc/XBq1pSCXbvJ27oN7cMPOXQaTVAQYd99Z9e22rqRGE6dxpyeXpFXdFswJSaC0YgFUPuWP/hZExQEgDEhoYpbVlLx34vK+9q3xIqpvL0hNhZzeukDwGuCJEn8tjeed/46Qka+XJbmnmZBvNS3IY+vng4G+8tr3O6USgWvDWhELXe9NSBKzilixoNNS51RVtNEIHQLM6Wlkb97d5nTWF3atrF+GzecPYvK2xtV6l5YPAwK0kHnDgNmyjOTqohCoUBT6/qqrTtK5eqCytcXc2oq8eP+h8LJiQZ7L+e3SJkzm7yNm2z3uRVqcClV8r9l4/vh2DI5IEo8KGer3jEPWg3HtVVxILQVLzsCIXNuHoUH9uPSoYNDTVF7+2DgNKa0tIq+mlueIU6elKANDkahKn9KdnGPkDk9HUt+Pkpn5ypt35WKA1q1p52BkJenvF/mjREIXcjI5+XfDrHphJzMsH6AG2/d05h2ET5IkuRwnTFBNrpLBH5uOl5Ysp9l+xMoNJqZ82hzdOqazRt0NREI3cIuPP0MBfv3l7k+bPEvOF0KhHLWrCV9/lzCu8Wi1pvkjMYPfmNXXaubkd+4cWQuXgyShOKqvFHaOqGYG19ROFChwPOBgdXcwiqkVEKje6Dh3XBildwzFL8b/v0MlwwXUvAgb/s2cjdvxvVSGQ6AnH/+wZJfYHOonHVryVmxEt+xY/Eb+4zdTVD5yB8o5jTRI1SW4np4mjr23aJUubujdHPDkpODMSEBXd3yb8VUFuutMW/7AgW1l/el/Wr2399skfhmm5wYMN9gRqtWMr5HFE90iUCjknsuco25GC1yD5EIhBx3b/NgPJ01PLFoN2uOJPHUd3v47LEW151vqTKJQOgW5jPmCdK/+RZTcrL1g+dK1m+MxgIMm7/DlJnHhS0ehI7vieLej6t8unXBocOkfvopLh064D348So919W8HhqE10ODSl1X65WXq7UtNUahkKvb1+sj5x7aOAW9ZQdKrRuW3DxS3noe16VLwaM2AEnvf4DxwoVSD+XcqpVDp7Z+EGaIQKgsxkuBkDbE/kkE3oMHo9CoUVZz8s/iHEd23xq7NKvMnJFZVU0q14mkHCYtOcC+OLkNbcK8+WBgdInZYMW9QS4aF/TqG69a/M2gW31/Fgxtzahvd/LPsWSeWLSbeYNb3jDBkAiEbmFu3bvj1r37tTfKS4UfH8HH7wDZGj8KUnUkHg4m8MGqzzlTsGc3uevXA1R7ICRcQaGQC7lGdkcRu5Faea+RuSsere4ifNJcrnrfaSJOzZujqV27xO5uvXvh0q6tQ6cUPULlM5y/dGvMzh4hAL//jauq5lyTc+vW+IwZg1PTGLu2Lw6YamKMmMFk4dP1p/hswymMZgk3nZrJ/RrwSOs6pQ7mFbfFKkenKF8WDGvNyK93selECk8s2s1XQ1rdEGOGRCB0O0s9Bd8PhIyzaP08CXr1f1x481Myf/oJpyaN8Xyg6sYGgTwoGUAf7Xh9LKEKKBQQ0Q2P6ZvwOLsZNk6VS6jsWgB7FhHc+VHo/OZ1J9AE0Nevj2uPHuga1L/+dt+iiscIVVdaievh0q6tQ8GwR//+uLTvgNq/estIHEvMZuLP+zlyUS5Z0rNhAO/e2+SaSRHTC0QgVFk6RPry9fDWDFu4k00nUpjw815mP9ICVQ3PJhOB0C3KEBdH4ZGj6CLC0UVFldzg/L/w48Ny8j3PUHhsCW5+9fBLV5Ly8SdcfPMtUj79jLCffrJO20359FMylywtcSjn5s0IfPddhwdnFh6SAyGnJiIQuqEoFBDeRX6c3QobP4TYTbDnGzkvUdNHoPNz1zV+zK1nT9x6Xn9CzluZa5cuaPz90UVG2r2PpagI44ULSEYj+gYNqrB110ft51et9dHMFokvNp1m5poTGM0SXs4a3r6nCQNiAstN2+Hr7Ms9kfdQ261kb6jguLYRPswb0pKRX+9i+cFEXHUHmDIwpkazaIvM0uW4WTNLp//wA0lvv4Nrzx6EzJlju/LkGvj5cTAVQnAreOQncJUvSpLFQsLzz5O9fAUAddf/gyYwEICkDz4k/ZvSs5269uhB7U8+tmt2C8iFTE+0ltPs25OJVqhh57bLeaXOyLcyUajk6fidnwMf+z+ohaqVvWYN8eP+h75pDOE//1xt5y08dgylszOawMAbrpbYmZRcnlu8n73nMwG5F+iD+6NvqlpYt6KVhy7y9Pd7sEgwslM4r/ZvWOnBkMgsfZszXZRLK2gCrpqafvg3WDoaLEaI6gMPfg3ayz05CqWSoBkz8H3qKSxFBpvijd7DhuJ+1102hzMmxJPwvJzOXzIa7Q6ECg8fltsXHCyCoJtBaHsY8jvE/ScX3T29Tu4d2v8jNHlArmdWy7GePUmSsOTloXKt/PxUtytrLqH46s0ldH7kKMxpaYT//ptdPVGW/HzSv/kGc2YW/pNfrJLeAItF4tvtZ/lw5TEKjRbcdGreuLsxA1sE31Q1vG5VdzYJZMrAGF5YcoD5W2IJ9XFmSPuwGmmLCIRuUcakS4FQ4BWB0J5FsOx/cqboJgPhvi/kZHtXUSgUpd5O0wQGWnuHijk1aYzmx2D0DRrYHQTB5dtienFb7OYS0gYG/woXdsk9RCdXw8Ff5EfdXtBpAoR2lG+vXYM5O5uTHTshGY3UP7D/5k1WWUXMmZlIkiRnanbgQ1tbnEsoNRVLYSFKfdXPcpIsFmuJDZWX/eNoUj7+BADfceNQubo4fF5Lfj7pi77jTNwBNl7YQKq7gtWtL32kSXDPZiNORTA4L4pApzDu6NSYsGY9HQ6CMgozcFI7iRljVeDBViHkFJr4bW88/aMDy9+hiohA6BZV3COkrnXpl2vXAvjrWfnnFkNgwCw5wV4lcLoi544lP5+Lr7+BOb30RHl+zz6LU3Q05rw8FHo9TmKg9M2pdit4bDEk7JXrlx39E06tkR/BreSAqH5/OWdRKZSurhTflTdnZKAMCKi+tt8E0r//ntTZc/B69BFqvf663fspPTxQurhgycvDmHARXUTV5wEzZ2WBWS60q76UKLE8SmdnFHo9UmEh5oz0CgVCWX/+ScrMmbgBA4ATQbC85eX1PfaZ8c0BOAYco3DXSvKaNLTJIm+PZzc8y+6k3UzvOp0+YX0cbqdwbSM6hfN4u9AanT0mAqFblDHxih6h3d9cDoLaPQN93iv3G3tFSAYDiW+9TfZff5W5jffw4QD4jx+P3zPPIBmNld4OoRoFNYdB30Daadg+B/Z+D/G75DFoPnWhwziIHmRz+xXkW7BqLy9MKSmY09LQiEDIhvHS1Hn11be2y6FQKNAEB1N04gTG+PjqCYQu5RBSurmhcKBnT+XthSnhory/g3XtAAyxsQDomkajiGlEIz8/uuob8ffBiwDsbPwfPUNc8XFxJm/NP5jj45m3YSoTOv6GUmH/h66YPl/1anoKvQiEbkGSxSLXKQLUaf/CtlfkFe2errIgSD6ZGve77sKlU6cyN9HVuzxdWqFWo1CLX8Fbgk+kXI6l20uwYy7s/ArSTsGy8XLV++aDofUom5lmKh8fTCkp1npuwmXFWaUdySFU7MpAqDoU5wKyN5liMbWnHAhVNLv00SObCQByurXA3H8ME37ax/kz+SgVHoy9oy7jejxszQ597kIC+fHxxCefYnfSblrXam33eUQgdOsTn0K3IHNGhtzTolCg2fIKKCVo8wT0eb/qgiDkb/mOdjsLtxhXf+jxOnR6FvZ8C//Ng4yzcm/R9k8hqje0fQIiuqP29qKIywU7hcusOYQcyCpd7PKA6eoJhIoDGbUD44PgcjmOihZetSTIX/bW5xQwe+52zBaJYE8nZj3cjNZhtm3RuLoB4GSAv8/8bXcgZLQYySrKAkQgdCur+ZSOQqVTOjkR/OIwarXKQqGUoNUI6Du1SoMgQbChc4P2z8C4PfDoL1C3JyDByVXw3UCY0wqVRR5HJnqEbFny8jCnpgIV6xFy7dYN3/+Nw7Vrl8puWqmKy2TYW2esmDW7dEbFAiFNngGAPxI0mC0S9zQLYsWEziWCIICAV18hd/k8/mynYPXZ1RSZi+w6R0bhpdIhChUeulug8LJQKtEjdAtSph7APX4mRBbIye/6zRBBkFAzlCq5llm9PvI4ov++lKfdp59GnZ4CuGLevADaeEC9vqARM3MMl+q5qTw9UVUgd5lr5064di779nRl0zdsgM+YMRx3y+GtVaOwYLFZ/2rbV4nwjABgRewKFp9YDMAIhQIfKtYjuPpwAs+NUeJSBPmJkcy6pxn3Ng8uc3uVqystXTriv7sWSflJbL6wmZ6h5Sf0LL4t5qX3cmhckXBzEYHQrSbpCPwwCEwFcp6gu2eXOXNHEKqVTyT0/RC6vwoHfkaf9RWueRfRmk/A4mGg84Am90HTR+Vp+rdp8G44dw64OUprADjFxOAUE8Oo3+8mNjG2xPo8Y57158S8RHYm7gQgJcyZxX/+4dBAeYPJwtSVx5i//QCu9STy9EqWje1PmG/5AaNSoaRfRD8WHlrIX2f+si8QEuU1bgsVCoROnz7NwoULOX36NB9//DH+/v6sWLGCOnXq0PiKqdRCNcs8D9/dT35cASaXaPQd3kdbSp4gQahROldoPRKP1iPxSDkBB36C/T9D9gXY/bX88AyFRndDw7vl6fi3UTCvCQrG67HHbHOAOUCSJAyxZzHGx+PSto1DM7muR1qBfKvzhVYv4O/sb10e4nb59l7XkK74Ofvx0uaXOOucjyGsFnqtfb1eFzLyGfvDXvbFZaLUy+N2fJ197QqC8nftInPpr/Sr7clCV9h0YRNZRVnl3u7y0ntxb9178XOq3ppoQvVyOBDauHEjffv2pWPHjmzatIn33nsPf39/9u/fz/z581myZElVtFMoT2E2/PAQ5Fwk43wo2SfT8G+wGZ/wujXdMkEom189eXD1Ha/CuS2w70c48gdknoNts+WHay2of6c80Dq8qxxI3cKcmjTGqcn1faGMHTgQqaCAyJUr0IaFVU7DylB0+jQWpRIM8pidAZEDyuxBifCIIMIjgmk7p5FemE58TjzuPuUHMmuOJPH84v1kFRhx16uZ7JGIZbGZ+GZKGFR+Gw0XLpD122+4dOxIs4HNqONehwJTAS4aF5seq6uFe4TzTsd3yj+BcFNzOBCaPHky7777LhMnTsTNzc26vHv37sy5uqaVUD3MJlgyHJKPgGstjE71gMMV/kYpCNVFLrORLyfUKy702n86nFoLR/6EE6sgN/FyT5FSI5f7COsC4Z0hqAWoRVbqK8m5hIIwnDqNIT6+ygOh+BdeoOjIUVbN+wJVh9boVeWP8wp2Dcacmkb2vAWkeITj9/TTpW5XfCvsqy3yLbemIZ7MeaQ5cdN/xeuUhDrEvp7C4jIultxcvu37ozW79P6U/Ty+/PEy93um2TM82fRJu84h3LwcDoQOHjzIDz/8UGK5v78/qZdmOgjVSJJg5YvyB4fGGR79CePy5wBQ1xKBkHDjMsbHc/rOvqBW02DvnssrtC7Q6B75YSqC2E1yKY+Tq+Wp+LGb5Md6QO0kZ7kObgm1W8v/d6t1w40vKoqNpejUKdx79QLkEiNJU6eWuX3ACy+g8qj4LCVNcDCGU6erZQp98fR3lZc3Tmonu/YJcg0iregA7t/8RbqbW6mB0JW3wgBGdQpn0p0N0KqVKPKdyQG6tbajOwhQusiZqy35eaLOmFCCw4GQp6cnFy9eJDzcNmPp3r17CQ4ue9S+UEV2fCEnr0MB93+JFBCDKSkZoERdMEG4kSg9POV8V0Yjlvx8lM7OJTdS6yCql/yQpsozz86sh7Ob4ewWyE+79PPmy/s4+8oFYAOagF998I6Us1y7+tdYgJT66WeoPD1xbt4cta8vloJCspYsLXP7rN9+I+qnT1A7K8GQB+YiMBsvPQxgMcn/NxtBoZRrBio1oFKDUoNWl08eYDy0FTpEgJMXOHvLA9IrcbyVJEnWhIpqBxIqtg5ojXMDM7ASS04OksFgM5Zp9eFEnl+8n+xCE+56NdMfbErvxpe/2BUHeM4hoXadrzgQMufZ3gaL9o1mz+A9pe0i7ycyzNwWHA6EHn74YV588UUWL16MQqHAYrGwdetWnn/+eYYMGVIVbRTKcno9rHpJ/rnX29BwgBwEmc2gUqH2EwP8hBuX0sUZhU6HVFSEKT0dbWmB0JUUCvCtKz/ajAaLBVKPQ9x/clmPC7sh5Sjkp8KZDfLjSlpXcA8Gj2D5/64B4OQJeg/Qe176+dJzrascMChUoFTLaQAUKvn/knQpCCkCU/H/ix+FUJRzxSMbirIp2rcFY0oOLuzGLUKDMisTv/ZOl/c1G8BitjZV721EvfT+Cr+3miRXwB3jjt9B+fUV76FSDoqcvOSxV54h4BECnnXkYNE3Cpx97A4YLXn5SJfGBr2w/12apLdkVPSocvd7qMFDSPUe5Njzq8FiwZSZicbfH4PJwpSVx5h/1a2wEG/b3w1jQgJwuchseaw9Qnn5tssVSjEtXnA8EHr//fd55plnCAkJwWw206hRI8xmM48++iivvvpqVbRRKE3GOVgyQq4k3+wxuaYTYEqU6+yo/f0dqgYvCNVNoVCg8vGW602lpUHt2o4dQKkE/4byo+VQeZkhH1KOQdIhSDoMqSflUh9ZcWDIlQOn1OOV/2KuQZLAkFgLyaREm74RTCZUgG9ZnRlqPWjdQFtLDsi0LnLPmFINKq3c+6PSyD8r1fI1wGwEi1EeL2gxoilMg/0XyT7nTPCdbpCfDsY8kve5kJekADIvPY4BoFRL1GqZhc7DJAeD/g2hVvSlRwwENJbPeZXiHEAWrYZ1KVuQ9PaP11Iolag8PTGnp2POyCBR7crYH/eyv5RbYVeyFBbKvy9AvKuRSDvOpbxijJAkSeL2mGDD4UBIq9Xy5Zdf8vrrr3Pw4EFyc3Np3rw5UVFRVdE+oTSGfPj5MShIl4te9v/I+g3OeKnqvEaMDxJuAmov7+uqN1WC1hmCW8iPK5mK5PQSWRcgOwGy4yEvBQoyoTALCjMv/Xzp/3ZmHgYuBSc6edC2Wg86dzmz9qWHyaBDMm0GhQLtfW+Ai+cV21y5rStoXOTbW9dJf/Ys/NFPjsKePWR9Dwz/+x+FRzeVuk/6uQACYxLk9+D8dvlRTO0kj78KaQN12ssD1nVu1ttiBnc9UICX3v7bYyaLCcnTDdLT2bH3NOOOnSW70ISHk4bpDzalV6PS8wsV9wbla0HhorPrXMU9QpjNSEVFKPQicadwWYX/4kJCQqy9QgcPHiQjIwMvL8eK7gkVIElyIcvEg/JYiIe+s8nG69SiOcGffIxSZ98FQhBqksqnuN5UFZfZUOvk2z6+dn5hs1hAMsu3qyymyz9Ll7Imq7TyMVXacm8jGf77D9iMJiQERef/Xd/rsJM2LIzw33+3HSyt1uHz1Dg8HnjYZtvCo0fI+u13VF0HwNNPyD1oSUcg8YD8uLhfDhbPbZEfIPdEBbfClCf3xxS6aoECPHWedrWvyFxEu+/b8YqpkMbA/L/2kl27Gc1CPJnzaHNqe5V9m7QwLYV8LaR6QISLfckYlS4u1N24EaWLCwpxbRSu4nAgNGHCBKKjoxk5ciRms5muXbuybds2nJ2d+euvv+jWrVsVNFOw2vEFHPxFvhAN+gY8bG8naPz90fTuXUONEwTHqL19gBuw3phSCShLvR3kqOJM0dpQ+wb2VhZ9/Xro69ezWeYU3aTEdq53dMPvmWcuLyi+Jdb0Ifm5xQJpJyFuB5zfIQdDGWch7l+0WbvwaeTEDn8ANV7ZiXLvm/rawYZOpcNN606OUxEg4WHIZXTncF7oU/JW2NXyGoYwbKIKF4uG7XYGXgqFAk2Af/kbCrclhwOhJUuW8Pjjct6FZcuWcebMGY4dO8aiRYt45ZVX2Lp1a6U3Urjkwm5YfWkcVu93Iaz66gkJQlVwahqDJS+3QsVFbxaGs2cBqjyfz9WS8pJIzE+0WdbYpzFqpXzZj8uJs9bSctW4EuERUfrYGaVSnn3nVx9aXJoQk3EWzmxEd2Y9/v7r2O5pBNR47f4W/v0eGvSHxvdD5B2lBpOrDieSkeXKD93SWNz4XibeP4KerSLsel3J+cmgUODpESDG+giVwuFAKDU1lVqXxp8sX76cQYMGUa9ePUaMGMHHH39c6Q0ULinIgCXD5AGRDe+GtqUn+cr6628UajXObdugFrcqhRuc1yOP4PXIIzXdjCqndHev1h6hi7kX6fdrP0ySyWb5tke24aaVE+HOPzifpScvT+F/t93b9PPqiMbfjp4TrzBoGSYPUjcZyPj9Hsi7gKfWE3LjYf+P8sPFD2IeguaPg39DDCYLH644xoKtseiDPEn0Ps8TncPtDoLgUiAEDpe9SP1iHobz5/AZPhxdXZFxX7jM4UAoICCAI0eOEBgYyMqVK/n8888ByM/PRyVmKVUNSYI/xsqDPb3C4J45ZY5LSJ42DVNSEmG//CwCIUG4AQS88AL+zz8v32KqJqcyT2GSTGiUGgKcL4+juXKquJfei9qutck2ZBN8KouwWW8QF1aXiN9+tfs8hvPn5envZvm4Xg//CAX5cPhXOPybPCB9+xzYPoeigOZ8nteN71ObAlpiaoVztOAAeZYUh16b84df8eIFM+cGOZZRPGf1agoPH8atVy8RCAk2HA6Ehg8fzqBBgwgMDEShUNCzp1zBd8eOHTRo0KDSGygAO+bCsb/kgZkPfi3nOSmFZDJhSpEvKiKrtHCzkCQJKT//8syeW5BCoYBq/KKYZZCLkrbwb8FXfb4qdZvxLcYzvsV4fjn+C7PT30ZbYKTo2DHM2dmo3O0rhJr03vvkbtzIgnffQfdYfzRKjTx+MbQ99Hlfzni/9zssx1eiS9rLBPYyVO9GVoOH+S+qLl9ukKj1y2bSj9fGe3DZpS6u5HoglpbpEnkax77oXc4lVHZtMeH25HAg9Oabb9KkSRPi4uJ48MEH0V0aga9SqZg8eXKlN/C2d3E/rH5N/rn3e/J0+TKYUlLkb50aDWpf32pqoCBUXOGxY8Q+OAi1tzdRGzdU23kNcXEUHbfNJ+TSubN1tmXh8eMY4+LkFWo1Lq1b31SBWnZRNgDuuvIDmloutch0VZDqq8U31UD+nj242TnpxZRxqbyGdynlNVQaDJF9+OBEHf4s6M8g1UaG69bhb0nB69iXXDjvjF++N23/OkPm8V/sCoQkgwFdhhzIPN59ol1tLCYCIaEsFZo+/8ADD5RYNnTo0OtujHAVQz4sHSWPC2owQM6mew3WHEL+/igqMY2+IFQVlbs7GI2Y0tOrLdGdpbCQ2AcexJKVZbO87qaNKC+Nj8lcspSMRYus6zzuuZugKVMcPlfe9u0kvvkWLh07UOv116+v4Q7oGdqTcI9w3LXlB0LFt86O1VHSKRXyd+60OxAqTnug8izZOxOXns/YH/aw/0IW4IG54wS8es2B06thx1zC47YSQyGgxZRwBs5tl3uSrsGYmAiShEKvx9nfsRJC1qSKV2WXFoQKBULr1q1j3bp1JCcnY7nqvveCBQsqpWECsOY1pJQTJB8OJP9QIfxmm/8j8K230F+6HZn199+kzp4DgFpUnRduEipvOY8QRiOWnBy7b8lcj8KjR7FkZaHQ69E3bGhdrtBcnt2krR2MU/PmSAYDhYcPk7N+A5LJhELt2CWz6MwZDOfOoa3mMSn+zv74O9s3XTzYNZixzcYSWZQAe34hf9cuu89THAi9e/wTPM0NmdR6EgArDyXywpL95FxKkDjjwab0LE6Q2KA/NOhPcMI+nlsxjVPswZxvQlpwJ4qIrnDHy1CnXannK86LpAkKcjhoVrrIuYksubkO7Sfc+hwOhN566y3efvttWrVqZR0nJFSB4yth51cYc1WkH1IAR0psYsm//M3GnJpqnaarb9iomhopCNdHqdejdHHBkpeHKS2tegKhQ4cBcGnXjpC5n5e6jffQoXgPHYpkNnOifQcs2dkUHDyIc/Oyb02XxnD2Ug6hsOrNIeQIV60rY5qOwegbz6mPfqHw8BEseXnl3gq0FBVZr0HrsndS+2I2BpOFD1YcZeHWswA0r+PJnEdbEOxZSlX6oGaoHl8A05qBpMBi1qCK3QixGyHiDuj5JgQ1s9mlOKv0aX02XoXpeOu97X6d4taYUBaHA6G5c+fy9ddfM3jw4KpojwCQmwx/yAnOCrz7A7vQRUXh9+yzNpvpIi5POXXt3h1NSB0UGg3ObVpXZ2sF4bqovL2x5OVhzsiA8PAqP1/hIbnkhL5JyeSCV1OoVLi0b0/OqlXkbd1WgUDoLFD9yRTXnFtDVlEW7QLbUdvNvhpumuBg1EGBmBIukr9vH64dO15ze/Ol8UGSWkW+DpxVHjw4d9ulW2EwpksEz/epj0ZV9m16i0YFzk6QX4B50J+ozv0Me7+DM+th3npo8gB0fxW85d+LvPNnATimTaOjyrEM0SIQEsricCBkMBjo0KFDVbRFgMslNPJTwb8x6pjRuCX7oKtfD7fud5S5mzYkBG3IrZuUTrh1qb29McbFYbpUSLOq+U2ciFuvnmjtDLpcOnUkZ9WqEoOr7WHNKl3NyRQXHVnE3uS9fNTtI7sCofjceM5lnSPgvr74Snq0dhTALb4tZnRzAkUh+84aybmQhaezfCusR8Pyy1+8vOVl+mkLCMgHk8kJ7V0fQ6dn4Z934eBiOLQEjvwBbcdA10nkF+ZQoIUsby0uGscGr3s/9hieAweicnNzaD/h1udwIDRq1Ch++OEHXnvttapoj3DgZzi+HJQaGPglLgGNcenUpaZbJQhVRuUjl9kwV1OZDU2AP5qAnnZv7967N86tWjkczEgGA8YLFwDQhjq27/XKKpJ7ZTy0pafauNqnez9l2ZllTOg2gZHRI5HMZgqPlLwdX0zp7oHK0xOvMWNYcmILcByDwYkWdTyZXdatsFIEuQSR4wQBmWDOlHuY8AqDgV9Bh3Gw9k04/Y+ci+jAz2R0HMbIQBURrvb1cl1J5eGBysO+90O4vTgcCBUWFjJv3jzWrl1LTEwMGo1t+vSPPvqo0hp328lOgBXyYEPueAkCGtdsewShGji3aI5CpUJdy74CmtWtoh+ghgvxYLGgcHZG7e9YFuTrlW2wf/o8yFPoAZLykwB5/GHs/QPL3N69Xz/Mr7zDOE0rjtU/hBZoWbs239zf/pq3wq4W5BrE5/1UtKrVijfbtydn3TqyV626YosoyHaFhL1QlENG1ucQ5Y2vtuyirILgKIcDoQMHDtCsWTMADl26115MDJy+DpIEf/5PrvIc1AI6jMecmYk5KwtNnTrivRVuWT6jRll/Tp41i6LjJ0rdTqFWU3v2J9d1rpx16yg8dgzXrt1wauL4Fw1HpvhbCvLRN26M0tm5Wv9+JUlyuEeoeAp9Up4cCKFQoL5GqY3zRjWjP9lMbpEJtzrygOm7oqMcCoJAnrEW569A556F0smJopMnyf5zWRlbO5PVUi4Z4h+3C1a+JM8w09l3q8tw7hwZP/yA0t3dtsiscNtzOBBav359VbRD2PsdnFoDKh3c+zmo1GSvWUPia6/jescdhHz+WU23UBCqXMG+/eT/+2+p6xRax0oqlCZ7+Qqy//4bhUrtUCBkTEwk6f0PMMTFEf7rUrsCG6fGjQlfuuR6mlshBaYCjBYjAB46OwMhFzkQKi7SqnJ1JWrTxhLb5RtMvPnnYX7ZdQGKTLQO88KljjO7U8BL53hJnyDXIAASchOQJAmXdu1QTCp7EPRFvyOQvhI/kxn+/UweP9R/BtTvW+65TGnppH/zLZo6dUQgJNioUB6hYhcu3f+ubcfAOuEasuJh1cvyz91fAX85N1DhQbnHTVc3sqZaJgjVymf4MDwG9C99pfJyiQrJbEZRgZIVjswYu5LK3Z2c9evBaMRw9iy6apjdVlHFt8XUCnXJbM9lKNEjVIqjF7MZ+8MeTqfkoVDAuO5R/K97XdSqDhSaCm3qmNkr0EVOiphvyierKAvPZs1wunTHoTTZ299BnanGv/kQ2PsnZJyFHx+WC7ve+SE4lz2dXswaE8ricCBksVh49913mTFjBrmXElO5ubnx3HPP8corr6AUGY0dI0nw93NQlA3BraD9WOuqgkMHAdA3ia6p1glCtXLt2vWa6yVJInnKVLKWLSPs++8cGsBszs62zuJy9LaY0tkZ5xYtyN+xg7yt2+wKhKorU/bVim+Luevc7T5/cY9QWmEaRrMRjery2E9Jklj07zne/fsoBpOFAHcdsx5qTvtIH+s2erW+Qm3Vq/X4OvmSWpBKfF48nnrPa27/WvvXeKXdK5glM7R/Gda/bx1Izen1cNcsOWFjKUQgJJTF4UDolVdeYf78+Xz44Yd0vJRnYsuWLbz55psUFhby3nvvVXojb2lHfocTK+RZYvfMsX7rtRQWWsdKOEU79u1VEG5VCoWCotOnMaelkfXnMvz+N87ufQsPy4kUNSEhqDw9HT63S6eOciC0ZQvejz9W7vane/dBodVSe/ZsdBHV14NU260283rNw2Qx2b2Pl84LrVKLwWIguSCZYNdgADLzDUxacoDVR+Seoh4N/Jn2YFO8Xa7/NmWxgVEDMVlMuGvdicuOY1P8pjK3bVOrDVFeUXLvk1IDvd+BRvfA709D6nH46VFo9jj0/bDE2KHizNJSYWGFsoQLty6HfxO++eYbvvrqK+6++27rspiYGIKDg3n66adFIOSI/HRY/oL8c+eJ4H853X/h0aNgNqPy9UUd6FhNHUG4lXncfTd5mzeTtWwZvuPG2t3rUWC9LVax2ZiuHTuSMuMj8v77j4wff8SlfXtrj5QhLo68LVus20oWi7Voq8rLs0LnqygXjQvtg65ds+tqCoWCia0m4qJxwU0rBxD/xaYz4ae9JGQVolUpmdy3AcM7htm839mGbF7a/BKeOk/e6fhOhW6PjW1+uRd83bl1fPjfh2Vu+0b7N4jyirJdWLsVjNkEGz+ELbNg33dwbgvc/yWEtLFuproiU7YlL09MpResHA6E0tPTaXCpvtWVGjRoQHp69eQBuWWseQ3yUsC3HnR+zmZV8fggpyZNxIwxQbiCW88eKJ2dMcbFUbB3L84tWti13+W/qYrdatY1aIDKxwdzWhqJb71N0PTp1kCo8NgxEt96u8Q+Kk9P1F6ODyKuCY81lHu5zBaJj9ee5ON1J7BIEO7rwuxHmtMkuGTgkFaQxqYLm3DVuPJep+v/EhzgEkDfsLIHPoe4lZE0VqOXS3JE9YZfx8hjhxb0ga4vQpcXQKlCodWi0GqRDAYRCAk2HA6EmjZtypw5c/jkE9tprHPmzKFp06aV1rBb3pkN8kwxgLtng9p2poR1fJC4LSYINpROTrj17k3W77+T9cefdgdCRadOAY4PlC6mUCoJfOcdsn7/HSQJzRV5jzT+/rj16nXVDgrc+/Wr0Lmux8GUgxzPOE59r/pE+zkW9F3IyOe5X/azI1b+Unt/82DevrcJrrrSPyoyizIB8NJXTrDXxLcJU7tOrfgBQjvAU1vknvYDP8OGD+DsFjlBo1stlC4umC8FQoJQTCFJkuTIDhs3bqR///7UqVOH9u3l7tft27cTFxfH8uXL6dy5c5U0tKZkZ2fj4eFBVlYW7pVVENJsgk9bQ/oZaDUSBpRMQpm3bRt52//FrVdPnGJiKue8gnCLyNu+nfPDR6D08CBq8yaUdkytl0wmis6cQVunDkp9xQb33gxm7Z7F/EPzeazhY0xuM9mufSRJ4psdB5mxYQN5hRr0lnDeuacJA1tee0bwuvPrmLB+AjG+MXzf//vKaH7l2f8z/PUsGPPAxQ/un4dBFYFCr0ft6yvGCN0G7P38dviGbteuXTlx4gT33XcfmZmZZGZmcv/993P8+PFbLgiqMio13PUxhHWGnm+UuolLhw74PzdRBEGCUArnNm1QBwRgycoid8MGu/ZRqNXo69W7pYMguCKrtNa+L27peQae/n4P7238GQK/xD9kO8v/17ncIAggszAToNzZXjWi6UMwZiMENJGHICy6H+3Zn9H4+4sgSLBRod+GoKAgMSj6eoV3kR+CIDhMoVLhPWQwppRU9PXqAZD65ZekfTW/zH3qzJ9foWzSNxtrVmk7kiluOJ7MC0sOkJJThNbdE4DwACNhvvYVNM0okuuDVSSZYrXwjYJRa+Us1LsXwob3IWEP3PcFOHnWdOuEG0SFAqGMjAzmz5/P0aNHAWjUqBHDhw/H27vsZFZCSalz55K/Z0+J5YZz5/AbOw7XLp3FgD5BKIPPyJE2z6XCIixZWWXvYDFXcYtuDPb0COUbTHyw/BiL/pXzKtX1d2XcnV14dee3JOcn232u4h6hyhojVCU0TnJ+odqtyZr9IoV7t+F2sCvOE36EgEY13TrhBuBwILRp0ybuuusuPDw8aNWqFQCffPIJb7/9NsuWLaNLF9HLYa/Cw0fI27S51HUJL7xAwOuv4f3oo9XcKkG4OXk9/hju/csenKwJCqrG1tSc8nqEdp5NZ9KSA8SmygOGh3cM48U7G5BryoCdkFKQgtFiRKPUlLr/lXKNclJdT51n5TS+KjV/jBztWnKO/4vGJQXn+b3kKfYNqn9Au3BjcTgQeuaZZ3jooYf4/PPPUV1KcW82m3n66ad55plnOHjwYKU38lbl9dhjuHbvXuo6lZtruVl2BUG4TO3lddNMVa9KZfUI5RWZmLryGN/+ew5JglrueqY/2JROUb4AaNXeqJVqTBYTqfmpBLqWn7/szQ5v8lLbl7BIlsp/IVVA6SsnirS4RoDhoJyAscfr0OlZEGlKblsOB0KnTp1iyZIl1iAIQKVSMXHiRL799ttKbdytzqVd25pugiAIt5jsIjkQurJHaPPJFCYvPUh8ZgEAD7UK4eX+DfFwutzro1QoCXAOID43nqT8JLsCIQCdquwiqTea4qSKlqh7oFE72PklrHsLko/KaUw0t/ZAeqF0DgdCLVq04OjRo9SvX99m+dGjR0UeIUEQhBo2846ZZBZlEuAcQFaBkff+PiJXiwdqeznx4f0x1l6gqxUHQsVV6G811npjBQXQf7pc4Hr5JDj4C2TFwcM/XLNwq3BrcjgQ+t///sf48eM5deoU7dq1A+Dff//l008/5cMPP+TAgQPWbWPE1G9BEIRq1TZQ7mlefTiRV38/RHJOEQoFDG0fxgt96uNSRnJEgCGNhnB/1P3E+Np37Z64YSJOaieeb/X8jT1g+pIShVdbjwKfKPh5MJzfDvN7wWNLwLv6asMJNc/hhIrlVZdXKBTWqstm880/S6NKEioKgiBUkbj0fN5adoS1R+VCqRG+Lkx9IIZWYZXb02EwG2j5XUsAtjy8xa7p+jUt46efSXzzTVx79CDk0zmXVyQfhe8flHuFnH3h0Z/lGmZVoPDECczXKEfl3KqVyHNUSez9/Hb43Y6Njb2uhgmCIAiVr9BoZub6XXy7bwWGInfUygaM7hLB+B5R6DWq8g/goOLyGiqFylqo9UZXokeomH9DOd/QD4Pg4n745i4Y9C1E9SrlKNcn9fPPyVmxssz19XbtQuUqAqHq5PC7HRoaWhXtEARBECpo/fFk3vzzMBcK9+JcZymulhB+7D+auv6OBSg5hhwOpBygyFxE9zqlz2gtllEoJ1P00HlUqOp8TXDt0pmIZX+i8vQsudKtFgxbDouHwqm18OPDcO/nEDPous4pWSyYUlJQ+/ujUCjQ1ApEF1W3zO0VSjF7rbo5HAh98803+Pr60r9/fwAmTZrEvHnzaNSoET/++KMIlARBEKpJXHo+7/x1hNVH5NtgPgFGDEBMUKDDQRDAuexzPLn2SQKcA8oPhG70rNKlUHl4XDtJrc4VHvkJfn8KDi6GX0dDfjq0e7LC5zQmXOR0z56ofHyI2ryJgBcnwYuTKnw8ofI5HMa///77ODk5AXKx1Tlz5jB16lR8fX159tlnK72BgiAIgq3sQiNTVx6j50cbWX0kCbVSwRNdIhjXS64PVtHxOgHOAQAk5SfR9NumNo/lZ5Zbt1t3bh1PrH4CuEHrjF0PlQbumwdtLwU/K1+E9R+AY8NprYpOnQRA7e2NopwxtgDJs2Zx9pFHyft3R4XOJzjO4R6huLg46taVu/V+//13HnjgAZ544gk6duxIt27dKrt9giAIwiVFJjOLtp9jzvpTZOYbAWgX4c3b9zShXoAbc/dvBOwvuHo1Hycf6nvV53jG8RJJEiWkUp8Xz1K7GZizs0n/dhGSwYD/xGt8cVcq4c4PwcUX/nkXNn4oV7Hv9Y7DiRcNp04BXPN22JWKTp2iYO9eik6fErnmqonDgZCrqytpaWnUqVOH1atXM3HiRAD0ej0FBQWV3kBBEITbncUi8cf+eKavOmFNiljX35UX72xAz4by2BO4nFW6oj1CSoWSnwf8bL3tdSVXjav15061O7F+0HrUCvVN1SMkFRWROmcOKBT4PTvB+r6VSqGALi+A1k3uFdo2G4wF0HeaHCjZqeikHAhp69oXCGlrhwBgjLtg9zmE6+NwINSrVy9GjRpF8+bNOXHiBP36yXVaDh8+TFhYWGW3TxAE4bYlSRKbT6by4YpjHLkoBzkB7jom9qrHwBa1UatsP5CL64xVtEcIQKVU4etUesLFYjqVDp3TzZNRuljxrDEkCSk/H0Xx82tp96RcuHXZeNj5FRgL5SzUdgZDRcU9QnYGQpoQ+fam4UKcXdsL18/hQOjTTz/l1VdfJS4ujqVLl+Lj4wPA7t27eeSRRyq9gYIgCLcbSZJYdzSZzzacYs/5TADcdGqe7BbJiI7hOGlLnw5fWnkN4TKFk5McwFgsmHPzLgdG5Wk5VA6GfnsS9n0nH2PAx+UGQ5LFQtGZMwDo6kbZdSptyKUeofMiEKouDgdCnp6ezJkzp8Tyt956q1IaJAiCcLsymS38ffAin284zbHEHAC0aiWPtw1lbPe6eLtor7n/k02fZEDkABr5NKqO5t50FAoFShcXLDk5JXMJlSdmECjVsHQk7PkWlBroP+OaY4aM8fFIBQUoNBq0dULsOo3m0q0xw4UL1uTEQtWqUNamzZs388UXX3DmzBkWL15McHAwixYtIjw8nE6dOlV2GwVBEEplspgwmA2lrtOqtKiV8iXOaDEiSRJa1bUDiZpSZDKzdHc8czee5nx6PgCuOjWPtwtlRKcw/N3sKwba2LcxjX0bV2VTb3oVDoQAmtwPFhP8+gTsmg8qLdz5QZnBkEKjwXvECCwF+XZni9bUDgaFAik/H3N6OupLd12EquNwILR06VIGDx7MY489xp49eygqKgIgKyuL999/n+XLl5dzhOvz6aefMm3aNBITE2natCmzZ8+mTZs2pW779ddfM3z4cJtlOp2OwsLCKm2jIAhVL7UglQf+fIC0wrRS18/sNpOeoT0BWHtuLa9seYVhjYfxdLOnrQFSTUvNLeKn/87z7fZzJOfI11JvFy3DO4QxpH0YHs6aco4gOKrM7NL2ihkEZgP88Qzs+BxU6jJnk2lq1SJg0guOtU+rRRMUBJKEOSNDBELVwOGrwbvvvsvcuXMZMmQIP/30k3V5x44deffddyu1cVf7+eefmThxInPnzqVt27bMmjWLPn36cPz4cfz9/Uvdx93dnePHj1ufi25GQbg17ErcVWYQdDWLZMFoMfLlwS/Zk7yHqV2m4u9c+jWjqkmSxP4LWXy7/Sx/7b+IwSxPUw/00DO6cwQPtwnBWet4oCZJEr+e/BU3rRvdQrrdsL1fNe1yIJRb8YM0fxzMRvhrgjybTKWDHq9VTgOByNWrUKgqvyyKUDqHi646Oztz5MgRwsLCcHNzY//+/URERHDmzBkaNWpUpb0tbdu2pXXr1tYxShaLhZCQEMaNG8fkyZNLbP/1118zYcIEMjMzK3xOUXRVEG5MJouJ8znnySrKooF3gxLrNUqNtefHZDGx8uxK3v33XfKMeXjrvRkTMwZnjTMNvRtS37s+AJmFmWy4sMHmOGqlms7Bna97AHJmvoHf9sbz88446/gfgKYhngxtH8qAmCC06oqXqigwFdDme7l3/N9H/8VFY+dA4NtM0cmT8m3S4GD7B0uXZcc8WHGpx+eOV6CrbcbogoOH0NQORu1182TfvpVUWdHVWrVqcerUqRJT5bds2UJERITDDbWXwWBg9+7dvPTSS9ZlSqWSnj17sn379jL3y83NJTQ0FIvFQosWLXj//fdp3FjcQxeEm51aqSbCw75rjlqpZkDEAKJ9o3luw3MczzjOB/99AMD4FuOtgVBCXgKvbS35zb5/RH8+7Pyhw20sMplZfyyFP/bFs+5YMgaT3PujUyvpHx3IkA5hNAvxdPi4pSmeOq9WqHFWO1fKMW9Fuij7Zm/Zpe0TYDHCqpdh/XvyYOrOcm49yWLh3ODBSIWFRK5aiVaUn7phORwIjR49mvHjx7NgwQIUCgUJCQls376d559/ntdeq7yuwaulpqZiNpsJCAiwWR4QEMCxY8dK3ad+/fosWLCAmJgYsrKymD59Oh06dODw4cPUrl271H2Kioqs455AjigFQbg1hLqH8l2/7/jy4JccTTsKQG23y9cCV40rnYM7W5/nGfPYk7yHXYm77D6HwWRh2+lUVhxMZMWhi2QXmqzrGge583DrEO5uFoyHU+WO/ylOpuiucxdDAKpT+2fkMUNr34R1b4GTJ7QagfHCBaTCQhQ6HZoyPm/KUrBvH0lTp6H286P2x7OqotXCFRwOhCZPnozFYqFHjx7k5+fTpUsXdDodzz//POPGjauKNlZY+/btad++vfV5hw4daNiwIV988QXvvPNOqft88MEHIhWAINzgjBYjb2x9g3CPcIY0HoJOZX9yP71az7jmpV+r6rjX4bOen1mf5xvzafdDO5Lyk0gtSC0z0WBGnoEtp1JZdzSJdceSybki+KnlrufuZkHc0yyIxkFVl9+nMpIp3g7y/t1B/u5dOMXE4Nq5c/k72KPTs2DIh01T4e/nwMWfootyr5w2IsLx8T4KBQV79qAODKyc9gnX5FAgZDab2bp1K8888wwvvPACp06dIjc3l0aNGuHq6lr+Aa6Dr68vKpWKpKQkm+VJSUnUqlXLrmNoNBqaN2/OqUuZPkvz0ksvWcuGgNwjFBJiX/4HQRAum7l7JgsPLSxzfbRfNN/c+U2FZnDF5cSx7MwynNROjIweeT3NvCZnjTMjo0dSy7kWGuXlHhyj2cK+uEw2nUhh04kUDsRn2dTk9HPT0adxAP2iA2kb7oNKWfU9NCKZon3ytm4l7csv8Ro8uPICIYA7XobcJNjzDSwdSZFmNGB/RukraS595pgSE7EYDCi1YuB7VXLoCqRSqejduzdHjx7F09OTRo2qL2mXVqulZcuWrFu3jnvvvReQB0uvW7eOsWPH2nUMs9nMwYMHrWVBSqPT6dDpbr7U8YJQ02bunsn57PMMbjSYFgEtkC79V5r+Ef15sfWLFZ7GfiZTztYb4RGBUlHxAcb2GN9iPEazhSMJ2ew5H8v202lsP51GTpHJZrv6AW50qedLn8a1aFHHC+UVwY/BbGBv8t5Scx61rtUavVrOE3Qm8wzxufHU967v8Ky2660zdrtQXvrSXuHp82VRKKD/R5CXAseXU7TtZ0BdoUBI5eWF0tkZS34+xvh4dOHhldtWwYbDV6EmTZpw5swZwmvgH2bixIkMHTqUVq1a0aZNG2bNmkVeXp41V9CQIUMIDg7mgw/kQZBvv/027dq1o27dumRmZjJt2jTOnTvHqFGjqr3tgnCr25m4k4OpB7kr8i4AxsSMYUijIWVu76nzrPC5zmTJgVCkZ2SFj3EtyTmF7DmXyd7zGew5n8GBC1kUmWyrsXs5a+gU5UeXKF+61PMjwL3spIczd8/ku6Pflbpu9cDVBLrKt0CWnlzKt0e+RafS8fWdX9PEt4ndbRa3xuxz3XmErkWlhoHzYdG9FK28VFojyNPhwygUCjQhIRQdP44xLk4EQlWsQnmEnn/+ed555x1atmyJy1XTD6tyivlDDz1ESkoKr7/+OomJiTRr1oyVK1daB1CfP38e5RW1XzIyMhg9ejSJiYl4eXnRsmVLtm3bVq09WYJwu0gtSAWwjqNx0bhU2RTu05mnAQj3uL4PCLNF4mxaHkcvZl965HD0YjYXs65MA2JBqUvE3SuZFt49aR3mQ+coX5oEedj0+pRFkiRWn1sNyD1YV49nurJXLMA5gECXQC7mXWTihon8MuAXu6u7d6/TnSDXoBrLj3SzqNJACEDrjDToewwfdQFAd3Aa9OwFTo5NodeE1Kbo+HEMcaLmWFVzOBAqvq10991328xMKK6JYjabK691pRg7dmyZt8I2bNhg83zmzJnMnDmzStsjCIL8959WICc39HEqPxNuVlEW3x75ltisWGZ0neHwLCdrj5CHfT1CZotEXHo+p1NyOZ2Sy6nkXI4n5XI8MZtCo6XE9gqFfKureR0vomvrmXLsNSySmSkPjCLAJaCUM5St0FxIjzo92Jm4k58G/HTNgd1DGg/hvqj7ePivhzmfc57JmyfzaY9PUSnLH2xbx70OddzrONS225HSRR7EfD2BkCk1Fclc8vcGQKFWoXTzIOD5/1H018doCk/Aj4/A4N/kwq120l6qOWaMu1Dhdgr2cTgQWr9+fVW0QxCEm1iOMQeDRR7/4qMvPxDSqrQsOLgAk2TiYt5FglyD7D6X2WImNisWKHlrLN9g4kxKnhzwJOdyKiWX08l5xKbmWTM4X02vUVK/ljuNAt1oGOhOw0B3GtRyw01/eXD00sRITmSc4HDaYYcDISe1Ey+3fdnu7d20bnzU7SMeX/44WxO2Mu/APJ5q9pRD5xTKVtwjVLB3r83yuCefwlxKuhTJZEIXHkbQlCnWZbEPDsJ08WKpx9dFRRGx7E+8hj8F/brAgr5wfjssHQWDvgU7gloAbVgo6sBAFHoxZrWqORwIde3atSraIQjCTay4N8hV42od+HstTmon6nvX53DaYfYl73MoEErOT8ZoMaJRatl2zMKilCOcTM7lZFIu8ZkFZe6nUyuJ8HMl0s+FSD9XogJcaRjoTpiPS7mzuhr7NLYGQt3rdLe7rRVV37s+r7V/jVe2vML8Q/N5uMHDeOnlWyuzds+y3hq80omME4xtPpZ2ge3wc/ar8jberLR16oBCgT462mZ5wcGDmNNKL9kiFdj+XilUKiiriOqVywMawyM/wKL74dhfsOZ16POeXe30evhhvB5+2K5thetzY1QeFAThpnb1+CB7NPNvJgdCKfvoF1H6TM68IhNHLmZzIimHk0nyLa2TyTlk5byNQpPB5MOHS+zj46Il0s+VSP9LQY+/K3X9XAn2dLJrTE9pGvs05rdTv3E4reT5riXPmMeRtCM0829mM/3eHndH3s2+5H38c/4faxAEsDd5L3uS95S6z8tbXmZR30UiELoGbUgI4b/9iiUnx2Z50PvvYTGUnNWnUCpR+9v2AtZdu8b+E4Z1gvvmwpLhsH0O+NWHFmVPIhCqnwiEBEG4brmGXDRKDd56b7v3aebXjO+Pfs++5H3A5aDnwIUsDsVnceBCJmdS8yi9GqKaAH0IUaGu1PV3JcrfjagAOeDxcqn8nCuNfeWyPEdSj1jHQ9pja/xWntv4HNG+0fzQ/weHz/tK21foFdrLZtmIJiO4u+DuUrcPcAmgqV9Th89zu9E3KFmbzrUq73Y0uR9ST8CGD+CvieAdIQdIwg1BBEKCIFy3O+rcwe7Hd1Notr/ocohzQwCOpR+nx0erOZNiLDXoqeWup0GgG1GXAp66AXLw466v3BIV11LPqx5qpZqMogyHxjRtjt8MQHP/5hU6r0qpon1Qe5tlXUPE8ISbUtcXIeU4HP4Vfh4Mo9fJAdE1XJjwLAV791L7k49xaioC3KoiAiFBECqFQqHASV32rJi03CJ2xKaz/XQa/55J42RyLi51PVBqsjibewxJiiTAXUd0sCfRwR7E1PagSbAHfm62g0Xf2PYGUpzEiCYjCPMIq+JXJdOqtER5RnE0/SiH0w7bFQhJksSW+C0AdK5diRmMhZuTQgH3fgYZZyFhD/zwMIxaA/qyE2CaU1MxJSWRPHMWmqDLv3NqHx/8n7tcASHlk9kYExNRB/jjcdfd6CJE3iFHOBwIvfHGG4wYMYJQUUlXEIRrkCSJwwnZrDuazLpjSRy4kFViGxcpEpPiGKO6+TKyWQ/8r5GUsPiYK2NXkm/KZ2jjoVXV9FKNaz4OlUJFtF90+RsDx9KPkVqQipPaiRb+Laq4dcJNQeMED/8AX3aH1OOwZAQ88rOciLEUunpR5O/aRf6//9os14aG2gRCOevWUXT8OABpn8/FqVkzPO67D03tYNS+fujr1wNAsljI2769xHnUfn7o69WrrFd503E4EPrjjz9477336Nq1KyNHjmTgwIGiJIUg3OZm7JpBXE4cQxsNRSoKY/mBiyw/eJGELNtbZQ1qudEuwod2ET60DfdGpemMq8bV7jIZSflJ5JvyUSvU1HGr3pw5jvbqFN8WaxfYDq1K1IoSLnEPhEd+hAV3wqm1sOY1uPODUjf1HTsWbVgYlqIim+Uqd9teJO8hgzGlpVOwZw+5mzdTsG8fBfv2yacbMIDg6dPkDU0m4kaWXlkh7JefcYqJub7XdpNyOBDat28fe/fuZeHChYwfP55nnnmGhx9+mBEjRtC6deuqaKMgCDe4TXHbOZN9nG37IklOSrAud9aq6FTXl54NA+jWwA9/t6t7fBwLEIqnjddxr4NGVX1jhCqi+LZYp2AxKFa4SlAzeSbZ4qHw72fyTLKWw0pspvb2xntI+TPMPAcOtP5sTE4me9kyctasxVJQgObKCvYKBbr69W32NSYkYMnJofDIUREIOaJ58+Y0b96cGTNmsGzZMhYuXEjHjh1p0KABI0eOZNiwYXh4iMJ/gnAryysy8ef+BBbviuOU9iJKDaRmaXHRqujZKID+0YF0qeeHXmNfAjl7ZmNVdY2x8vxz/h++PPAlh9IOlVrc9K32b9EjtAdF5iKCXYPZm7yXzsFifJBQisb3QuqrsP5d+Ps58K0HoR2u+7Aaf398Ro7EZ+TIEusUGg0Rf/xusyzx7bfJ+OFHjEmJ133um9V1DZaWJAmj0YjBYECSJLy8vJgzZw6vvfYaX375JQ899FBltVMQhBvEqeQcvvv3PEt3X7hUgd2Ca4NcAN4d0J77mza2O/gBmHdgHr+e/JXeYb1pU6uNzTovvReNfRpbn393RC5cGuFx7dk2VeWPU39wKO0QcLnI6ZWMFiMAOpWO7nW6k5CbYC2oKggldHkeUo7BoSXwy1AYs0m+dVaNvIcPx/Phh9EEBVfreW8kFQqEdu/ezcKFC/nxxx/R6XQMGTKETz/9lLp16wIwe/Zs/ve//4lASBBuEZIkseVUKvM2nWHzyVTr8jAfZ+5t6cn8OLl8xYPNG6JR2R8EgZx0MD43noWHFrLw0EKbdV1rd2VOjznW5wl58m23mgqEPur2EedzziNRanIj/J0uFzztENSBbiHdqqllwk1JoYC7Z8vBUNIh+VbZ0L9AXX1jyrQhIdV2rhuVw4FQdHQ0x44do3fv3syfP5+77roL1VUXvkceeYTx48dXWiMF4VaQmJdIjiGnxPJg12CcNXIhyMzCTFIKUvBx8nEoOWFVMZkt/H3wIl9sPMORi3IdJqUCejQMYHC7UDrV9eVM1mnmx4GHzqNC43YeiHqAw6mHyTaUrPMU4mZ7kY7xi8Fb511juXRUSpXdFe9dNC5V3BrhlqB1lmuQzbsD4nbIg6f7Til/P6HSOBwIDRo0iBEjRhAcXHY3mq+vLxZL6QUOBeF2tOnCJp5Z90yp6xb0WUDrWvJEgxVnV/D+jvdRK9T8es+vdn/oVjazRWLZ/gQ+WXeSM6lylW4njYqHWocwslM4Id7O1m1TCy+V19DbX17jSiHuIXzV5yu7tv2+3/cVOocg3NB8IuH+L+DHh2HHXAhuBTEPVsupzbl5ZHz3Haa0NGq9Yn9x4FuJw4HQa6+9VhXtEIRb2tG0o4A8duTqnoIra1DpVXo0Sg1Gi5G9yXurPRCyWCT+PniRmWtPcCZFDoA8nTWM6BjO4HahpZavyDPkoVFqHKozJgjCVer3hS4vwKZp8Oc48G8ItZpU+WkVSgUps2YB4Df+f6hcXav8nDcahwOhgQMH0qZNG1588UWb5VOnTmXnzp0sXry40honCLcKtVKNt96b++rex4SWE8rc7r6o+ziSdoSfjv/Euexz1ddAYPvpND5ccZT9lxIfejprGN05gqEdwnDVlX2p6BHag92P76bIXFTmNoIg2KHbSxC/B06vg18Gw+j14ORZpadUOjuj9PDAkpWFKTER1aWxvrcThwOhTZs28eabb5ZY3rdvX2bMmFEZbRKEW87I6JGMjC45nbU0oe5y1vbz2eersklWp1Nyef/vo6w7lgyAi1bFE10iGdEpDDc763kpFAr06mtnhRYEoRxKFQz8Cr7oCuln4Lcn5UzUSvsSjlaUJiCAoqwsjIlJ6EQgVL7c3Fy02pLd4xqNhuzskoMdBUFwTB13OWPyuZyq7RHKLTIx+5+TLNgSi9EsoVIqeLRNHcb3jMLXVWSLF4Qa4ewND30L8/vAiRWwZYZ8y6wKqWsFUHTiBKbbNJeQw2FmdHQ0P//8c4nlP/30E40aNaqURgnC7ay4RyguOw6ptHLs10mSJP7cn0D36Rv4YuMZjGaJO+r7sfrZLrxzbxOHg6CpO6cy/p/x7EveV+ltFYTbUlBz6H/pDss/78Hpf6r0dJqAAACMibdnIFShwdL3338/p0+fpnv37gCsW7eOH3/8UYwPEoQyvL/jfU5mnOTJpk/SNrDtNbcNcg3CQ+dBsGswOcYc3LXuldaOuPR8Xv39EBtPpAAQ6uPM6wMa0aNhQIWP+d/F/ziecZwH61fPLBdBuC20GAwXdsKeb+DXJ+DJreBW8b/Ta1EH1ALAlJhUJce/0TkcCN111138/vvvvP/++yxZsgQnJydiYmJYu3YtXbvWTG4PQbjRHUk7wv6U/eQacsvdVqPUsPmhzeWWm3CE2SKxcGssM1afoMBoRqtS8swddRnTNcKhLNClSS24NH1ezBoThMrVdwrE75aTLf46Cgb/Lo8jqmSaWpd6hG7TW2MVyizdv39/+vfvX9ltEYRbVr4pH8CaOLE8lRkEnUnJ5fnF+9lzPhOANuHefHB/NJF+1z9N1mwxk1GUAYCP3ue6jycIwhU0TvDAQpjXFWI3weaPoGvljxdy7dGDiKZNUdeqVenHvhlUuNaYwWAgOTm5ROLEOnXqXHejBOFWk290LBCqDBaLxDfbzzJl5TEKjRbcdGpe7t+Qh1qFoFRWTqCVUZSBRbKgQIGX3qtSjikIwhX86kH/j+D3J2HD+3Jh1rCOlXoKtZcXaq/b9+/X4UDo5MmTjBgxgm3bttksL64cbTabK61xgnCrKDAVAOCsti8Q2hi3kRm7Z1Dfqz7Tuk5z+HwXswqY+PN+tp9JA6BTXV+mPBBDsKeTw8e6lrQC+fheei/Uyuuq4SwIQlmaPQKxG2H/j7B0FDy5BVxED2xlcfjKNWzYMNRqNX/99ReBgYGV2oUvCLeq4h4he+tPqZVqYrNiUSkcHw+w6nAiLy49QGa+ESeNipf7N+TxtnWq5G+1OBDycRIXZUGoUv2mw4VdkHYSfn8KHvmpUvMLpS38GsP5c/iOGYPmNrtF5nAgtG/fPnbv3k2DBg2qoj2CcMsxWUwUmgsB+3uEinMJnc8+j0WyoFSUf8ErNJp5568jfL9DTsQYHezBJ480J9y36op/5hpz0Sq1Fa4zJgiCnXSu8ODX8GV3OLkK/v0UOoyrtMNn/vILhthY3Pv0EYFQeRo1akRqampVtEUQbklF5iI8dZ7kG/PtHiMU6BKIWqnGYDGQmJdIkGvQNbc/n5bPmO92c/RShfgxXSJ4rnd9tOqqzUjbO6w3vUJ7ifIaglAdajWBOz+AvyfC2jehTgeo3bJSDq2uFYAhNhZT0u03hd7hq+SUKVOYNGkSGzZsIC0tjezsbJuHIAi2XDQubH54M7sH70arKpmVvTRqpZrarrUByq05tv5YMgNmb+boxWx8XLR8O6INL/VrWOVBUDFRXkMQqlGrEdDoXrCYYMkwKMislMNqLuUSMt6GuYQc7hHq2bMnAD169LBZLgZLC0LlCnUP5Wz2Wc5nn6d9UPsS6y0WiY/XneTjdScBaF7Hk88ea0GgR+UOiBYE4QaiUMDdn0DCXsg8B39NkKfYX+cYQPWlXEK3Y5kNhwOh9evXV0U7BEG4yrVqjmXmG5jw8z42HJczRA9uF8qrAxqiU1d+srVr+WDHB1zMu8io6FHE+MVU67kF4bal95CDnwW94fBvENVHnll2HYrHBYkeITuI7NGC4JjDaYeZsWsGER4RvNruVbv3q+dVjwbeDUokKjwUn8VT3+8mLr0AnVrJ+/dFM7Bl7cputl3+S/yPU5mneKTB9V2EBUFwUO2W0G0y/PMuLH8B6rQD7/AKH059qd6Y6TasN1ahQQSbN2/m8ccfp0OHDsTHxwOwaNEitmzZUqmNE4RbQWp+KjsTd3I49bBD+91b914W37WYkdEjrct+3xvPwM+3EZdeQB1vZ359ukONBUFwubyGmD4vCDWg00So0x4MOXI9MrOpwoey9gglJ1dW624aDgdCS5cupU+fPjg5ObFnzx6KiuTZIllZWbz//vuV3kBBuNk5Wl6jNJIkMXPNCSb8vI8ik4XuDfxZNrYTjYM8KquZDjNajGQWZQKizpgg1AilCu6fBzp3uPAfbJ5R4UNpIyOJWPYnkSuWV2IDbw4O3xp79913mTt3LkOGDOGnn36yLu/YsSPvvvtupTZOEG4FecY8oOKBUIHRyOQlB/hjv9xl/VS3SF7oXb/SymRc7XTmadbHlRwL+GiDR62vYVv8NnYl7QJApVDhqfOskrYIglAOzzpyCY5fR8HGKRB5B4S0cfgwSq0WXVRUFTTwxudwIHT8+HG6dOlSYrmHhweZmZmV0SZBuKVY64zZmUzxSk+tGcfW+K3kxQ1GrazPe/c14aHWVVvP76XNL3E0/WiJ5ffWvdcaCG24sIEfj/0IQIBzgF0JHwVBqCIxD8pJFg8uhl9HyyU4dG413aqbhsOBUK1atTh16hRhYWE2y7ds2UJERERltUsQbhkVvTV2JiWXHbFpSDojzs4ZzH2kDR3rVv0tqAs5FwDoHdobV+3lCvU6lc76c1O/phSZi1CgoHdo7ypvkyAI5eg3Hc7vgIyzsOJFuPczhw+R9eef5O/Zg0f//ji3bl35bbxBORwIjR49mvHjx7NgwQIUCgUJCQls376d559/ntdee60q2igIN7XiQMhFbX+pi3/PpDFm0W4K3bzQ6qB/S021BEEGs4EcYw4Ar7d/HQ9d6WOQ+kf0p39E/ypvjyAIdnLyhPu/gK/7w77vIaoXNL7PoUPkbt5C9rJlaEPqiEDoWiZPnozFYqFHjx7k5+fTpUsXdDodzz//POPGVV7dE0G4VVgsFtQKtd09Qr/tvcCkJQcwmiUiaoWQAuxL28rrW18H4LlWz1kDlBWxK9iesN26r6vWlVHRo/DWe1eorQoUfNTtI9IK0nDXulfoGIIg1JDQDvJMss3TYdl4qN0aPOyfVaq5lFTReJslVVRIkiRVZEeDwcCpU6fIzc2lUaNGuLq6lr/TTSg7OxsPDw+ysrJwdxcfDELF2VM8df6WWN756wgA/aMDGd5dyfDVg222WfPAGmq5yFNdp/w3he+Ofmez/n/N/8fomNGV2HJBEG4aZiPM7w0JeyC8Cwz+w+4q9emLviPpvfdw692b2p98XMUNrXr2fn473CNUTKvV0qhRo4ruLgi3nWsFQZIkMWP1CeasPwXAiI7hvNq/IQoFTO0ylfjceOu2rprLXzq61O5izeGzM3En2xK2kZCXUEWvQBCEG55KAwO/grmdIHYT7PwS2o6xa9fiMhv5O3dyYdz/cOncCa9BgwAwZ2dz8RXbhLBKFxf8xo1FExxcua+hmjkcCN1xxx0orlHT5J9//rmuBgnC7cZskXjtj0P8sOM8AC/0qc/T3SKtf2d9w/uWuW/7oPbWOmTuWne2JWwjNT+1wm05k3mGk5knCfcIp57X/9u777iq6v+B46/L3iAgICriQFy4R7jSHJiGWv3MQeJKc5Baama5GqZm7rRhpg1HVq60LMU0xY07FUcipSKKyJ73nt8ffLl1Y92LwGW8n4/HfTy853zOOW8+AvfN53zO+1O/yOcRQhiRS13o8Q78NBX2zoG6T4Fr4Y/GW9atC4A6Lo7EvXsxq1pVu0/JyCBx795cx5h7elJ1YvmeFmNwItS8eXOd95mZmZw9e5aLFy8ybNiw4opLiAojZz2ul5u+TGPXxjr70rPUvPbtOXZfuItKBfP6+zGkXdEej69qnf1L637q/SLHuv+v/Sw/vZy+dfsyr+O8Ip9HCGFkbV6CK7vhz99g28sw8lcwLfgj37JOHby+WEtGVPYfZZb16mn3mdja4jF3jvZ9Yuh+kg8dQp2UWDLxlyKDE6GlS5fmuX3u3LkkJSU9dkBCVDT5rceVnJ7F2G/COXTtAeamKpYNbEGfptWKfJ221dryY/8fqWpTtfDG+YhNjQXItb6ZEKKcUamg3ypY7Q+3wyFsKXSeVuhhtu3bY9u+fa7tJtbWVBk0SPs+KzaW5EOHUNLSizVsYyi2KmgvvvgiX3zxRXGdTogKIzUrFQBb838en49LzmDI58c5dO0BNhamfDG8zWMlQTnn93b01rmOoWLT/pcIydphQpR/jtWh96Lsfx9YAHfPFdupbdq0wXX8eOy6dim2cxpLkSdL/9fRo0exsrIqrtMJUWH8t7J0TGIaL35+nKv3knCyMWf9iLY0r+lkxAj/8TDtIUCRH78XQpQxTV+AK7vg8k7Y+jKMOQDmj/9Zbdu2LbZtDV/KoywyOBF67rnndN4risLdu3c5deqUFFQUIg//rix9LyGNwWuO8ef9ZNwdLNnwUjvquRVfKfz1F9cTmRDJKL9R1LSvafDx2ltjMiIkRMWgUsEzSyHqKNy/DL/Ng57vGjuqMsXgW2OOjo46L2dnZ7p06cJPP/3EnDlzCj+BEJVIliaLdHX2PfSEFBUDPz3Kn/eTqe5kzZaX/Ys1CQL48c8f+eHaD9xKuFWk43NGhGSOkBAViK0rBK7I/veRlXDryGOfUpOcTPr162RERj72uYzN4BGhdevWlUQcQlRIOaNBAC+tv8DfDzOpUcWaTaOfoKZz0VajL0hVm6pcjbvK/RTDnxxTa9TEpcUBMiIkRIXToDc0fxHOfgPbxsK4sMdamDX56FH+DnkF6+bN8d68qRgDLX3FNkdICJFbamYqJipTNBr4+2EmtVxs2DT6CTydrEvkeo/zCL2CwuIui3mY+hAnS6dijkwIYXS95mcXWXx0C36dCYFFrx6tssyeZ6RJL/9PjRmcCFWpUqXAgor/9vDhQ4MDEqIiSUm1w+rvD7mXmEwdV1s2jn4CD8eSe6hAmwgVYUTIzMSMHrV6FHdIQoiywsoB+q+CLwMhfD00eCZ7cdYiMLGyBEBJTS3GAI3D4ERo1qxZvPfeewQEBODvn13R9ujRo/zyyy/MmjULZ2d52kQIgOsxiQxZc5yYxHTquTmxcXQ73OxL9slKV+vsFeofpBa9urQQogKr3RmeGA/HVsOOEBh/FGwM/9xWWVXiEaGwsDDeeecdQkJCtNsmTpzIRx99xL59+9i+fXtxxidEuXQ9JolBnx3nQVI6DTzs+ealdrjaWZb4dXOKKRbl1tjN+JtcjbuKt4M3vs6+xR2aEKKs6DYbru+DB1ezl+H4P8NrAKos/zcilJZW3NGVOoOfGvvll1/o1atXru29evVi3759xRKUEOVZ5INkhqw5xoOkdOrUiKV24+/47nrpFBvNuTVWlBGh3//+nakHp7L24triDksIUZaYW8Ozn4DKFC7+ABe+N/gUJhVoRMjgRMjFxYUdO3bk2r5jxw5cXORJE1G5/fUwhSFrjhGTmE59dzvGdnPi8J0DhN8LL5XrN3BuwK5nd7G171aDj9VWlZZH54Wo+Kq3gs5Ts/+9ewok3DXo8JzJ0kpaGoqiFHd0pcrgW2Nvv/02L730EgcOHKBdu3YAHD9+nD179rBmzZpiD1CI8uLOo1QGrznGnfg06la1ZcNLT3Dg7k4ArM1L5imx/7Iys6KWQ60iHSvFFIWoZDpPg6t7spfe+HEiDNmSXYBRD6b2djgPG5Y9V0hR9D6uLDJ4RGj48OGEhYXh4ODA1q1b2bp1Kw4ODhw+fJjhw4eXQIhClH05FaP/jkvF28WGjaOfoKq9Za7lNcoyKaYoRCVjag7PfgqmlnDtVzj9ld6HmtjY4D7jDdxenYzKpNiWLTWKItURateuHRs2bCjuWIQol+4npjNkzTFuxaZQo4o1G0c/gbtD9rBxTkHFx1kI1VAbL28kIi6CwQ0G08C5gd7HyYiQEJWQW0N4aibsnQW/vAl1ukCVoo0ql1dFSuNu3LjBzJkzGTJkCDExMQD8/PPP/PHHH8UanBBl3cPkDF78/Dg37ifj6WiVq1hiamZ2jY3SHBHa/9d+tl7byrW4awYdJ3OEhKik/CeAlz9kJMH28aDR6HVY5r17pN+8iSYjo4QDLFkGJ0IHDx7Ez8+P48eP88MPP5CUlATAuXPnZK0xUanEp2by4ufHibiXiLuDJRvzWDYjOTMZyF5wtbQUpbq0oiiy8rwQlZWJKfRfDea2cOswHP9Er8Nu9u3Hn0/3JjMqqoQDLFkGJ0JvvPEG7733Hnv37sXCwkK7/amnnuLYsWPFGpwQZVVKRhYj15/k0t0EXO0s2fDSE3i75r79lZpV+iNCRakurVE0fNj5Q2Y9MUtblFEIUYk41/lnVfrQt+H+1UIPUVlnj35r0sr3I/QGzxG6cOECGzduzLXdzc2NBw+kmq2o+NKz1Lz8dTjht+JwsDLj61Ftqedml2fbeR3nMdt/tt7L0hSHolSXNjUxpVutbiUVkhCiPGg9Eq7sghv7YftYGPkrmOafJpjkFFVML99FFQ0eEXJycuLu3dz1Bs6cOUP16tWLJSghyqostYbJm89y6NoDrM1NWTeiLQ2rOeTbXqVSYWVmhaVpyVeVzvE41aWFEJWYSgV9PwJLR7gdDmFLC26eU1SxnFeXNjgRGjRoENOnTyc6OhqVSoVGoyEsLIypU6cSHBxcEjEKUSZoNAoztl7g54vRWJia8FlwK1rVqmLssHIpyojQrYRb7Lm5h8uxl0sqLCFEeeBYHXp/kP3vAwvh7vl8m6pyFl4t59WlDU6E3n//fRo0aEDNmjVJSkqiUaNGdO7cmfbt2zNz5sySiFEIo1MUhXk/Xea78L8xUcGKwc3p5FO10OMWnljIW4ff4mb8zVKIMpubjRsAMSkxeh8TdjuMab9PY80FKYoqRKXXdGD2yvSaTNg2FrLyTnRM/lVdujwzaI6QoihER0ezYsUKZs+ezYULF0hKSqJFixb4+PiUVIxCGN3K/ddZezg7mVn4fFN6Namm13H7o/ZzJ/kOg3wHlWR4OjztPNn97G6DJj3LE2NCCC2VCp5ZBlHHIOYPODAfus/N3ex/I0Ka1EqWCNWrV48//vgDHx8fatasWVJxCVFmrAu7yZK92U9QzH6mEQNa6/99n1NQsTQfnzc3McfLwcugY6SGkBBCh11VCFwG374IYcvBtzfUbKvTxP6pp7Co5Y1FndrGibGYGHRrzMTEBB8fH2JjY0sqHiHKlO1nbvP2j5cAmNzdh5EdDfuB19YRKuNLbEhVaSFELg0DoekgUDTZt8gyknV2Vxk0CI+33sSmRQsjBVg8DJ4jtGDBAqZNm8bFixdLIh4hyozfr95n6nfnABje3ptJ3Qy7/ZupziRTkwmU7ogQwLZr25gdNpuT0Sf1ai8jQkKIPD29EOw94eEN2DfX2NGUCIMToeDgYE6cOEGzZs2wtrbG2dlZ5yVERXDur0eM/SacLI1C32aezH6mkcG1gHJui0HpjwgdvXOUbde3cSn2kl7tZURICJEnayfo91H2v098Bn8e0O7SpKaSeS8G9aNHxois2BhcUHHZsmUlEIb+Vq1axaJFi4iOjqZZs2asXLmStm3b5tv+u+++Y9asWURGRuLj48PChQvp3bt3KUYsyps/7ycxYv1JUjLUdKznyocDmmFiYnhBxJyq0uYm5pibmhd3mAVytTHsEXqZLC2EyFe9btnFFk99AdsnwPgjYOXIg1WriP18Lc7DhuE+4w1jR1lkeiVCr732Gu+++y62trbUrl2b9u3bY2ZWpIXrH8u3337La6+9xieffEK7du1YtmwZAQEBRERE4Obmlqv9kSNHGDx4MPPnz+eZZ55h48aN9O/fn9OnT9OkSZNSj1+UfTEJaQR/cYKHyRn4VXfkk6GtsDAr0trEpGSW/kTpHIasN6YoCvM7zic2LVb76L0QQujo8W52xem4SNjzJvRfhep/j89rynllaZWiKEphjczNzfn7779xd3fH1NSUu3fv5pl4lLR27drRpk0bPvooe5hOo9FQs2ZNXnnlFd54I3c2OnDgQJKTk9m1a5d22xNPPEHz5s355BP9FpVLSEjA0dGR+Ph4HBzyryAsyr+EtExe+OQoV6IT8Xax4ftx7XG1K3pFaEVRSM1KJU2dVuojLT/e+JE3D79JO492fB7wealeWwhRQd06Aut6AwoM3syD3//m/uIlOPbvj+eC+caOLhd9P7/1Gtbx9vZmxYoV9OzZE0VROHr0KFWq5F1Rt3PnzkWLuBAZGRmEh4czY8YM7TYTExO6d+/O0aNH8zzm6NGjvPbaazrbAgIC2L59e4nEKMqvtEw1o788xZXoRFztLPlqZLvHSoIge3kNG3Mb44wIyTIbQojiVqs9tA+BIyth50RMqkwByv+IkF6J0KJFixg7dizz589HpVLx7LPP5tlOpVKhVquLNcAcDx48QK1W4+7urrPd3d2dK1eu5HlMdHR0nu2jo6PzvU56ejrp/yoXnpCQ8BhRi/JArVF49duzHL/5EDtLM9aPaIOXS9l+3L0wObfG/oz/U7stLi2Orde25mr7d9LfOFk60b1Wdxq7NC61GIUQ5VDXmXBtL9y/gur+DgCUyrD6fP/+/enfvz9JSUk4ODjkOyenIpg/fz5vv/22scMQJeynP39i2/VtKIrCnw+SuZuQhpVTaz77v5dpUt2RvxL+4u1j2d8HKlT0qdOH/vX6G3SN8HvhbLu2jUYujRjScEgJfBX5c7Nxw0RlQr+6/dAoGkxUJjxMe8iy08vyPSYyPpKlXQteZFEIUcmZW8Gzn8Dn3TGJOQNUKferzxs049nOzo7ffvuN2rVrl/pkaVdXV0xNTbl3757O9nv37uHh4ZHnMR4eHga1B5gxY4bO7bSEhASpoF0BLT29lOjkf0YGzWyhe90OtK+X/bRVSlYKx+8e1+4/f/88fWr3MejprxuPbrDjxg4SMhJKPRGyt7Dn7fZvY29hj4nKRLstv2TO3MScwQ0Gl2KEQohyy7MFdJ6G6lb2H06apPJ958TgbObJJ58siTgKZWFhQatWrQgNDaV///5A9mTp0NBQQkJC8jzG39+f0NBQJk+erN22d+9e/P39872OpaUllpaPNzdElG2Z6kzuJWcnyGl3n0PRWNC/uScvt+2obeNh68HCTgsBWHhyIQ/THnLu/jlae7TW+zo5j8/bmtsWY/T6+2/S42bjxrsd3jVKLEKICqbTVCzCfsLxzi0sqtwBjRpMTI0dVZEU7blgI3nttddYs2YNX375JZcvX2bcuHEkJyczYsQIILvY478nU0+aNIk9e/awePFirly5wty5czl16lS+iZOoHKKTo1FQUDTmZD5qQ1Djfix6ejg+Vf6pHO1o6UjvOr3pXac3/p7ZifORO0cMuo728fkyvryGEEIYzNQMq3Hr8eyUhWu1P7LXIyunylUiNHDgQD788ENmz55N8+bNOXv2LHv27NFOiI6KiuLu3bva9u3bt2fjxo189tlnNGvWjO+//57t27dLDaFKLjI2GZKbkZXUkJ6NPJgd2LjAqtHtPdsDEHYnzKDrGGPBVSGEKDXOdbKX4AD4bR7cOWPceIqo9KsiPqaQkJB8R3QOHDiQa9uAAQMYMGBACUclyov7ienM2HKHxLjBtPByYvmgFpgWUjXav5o/1mbWuFq7kqXJwsxEvx+b8rLgqhBCFIWi0aDx6Y/itQuzqJ/hh9Hw8u9gUb5+55W7REiIokrJyGLUlyf5Oy6VWi42fB7cGmuLwu9pV7WpStigMIOXyZARISFERZYZFcWNXk9jYmeL7+BqEHsNfn0LnilfT5/qlQg999xzep9w69bcdUqEMLYstYaQjWc4/3c8VezUrB3eChcDCiYWZa0wYy6xIYQQJU1llbPERgb0/xi+7p+9Hlm9HtCg/KzpqVci5OjoWNJxCFFiFEXhnV2X2H8lBkszE+o02ciAPXNY8uQSunp1Nehc0cnRuNu467US/cLOC0nKSJJESAhRIalynrDOzESp1QmVfwgc/Qh2hkD1o2DvXvAJygi9EqF169aVdBxClJj1RyL56ugtVCpYPqg5S64sJUuThbO1/ut/KYrC4N2D+SP2D37o+wP1q9Qv9BhrM2uszawfJ3QhhCizTP43IgSgSUvHtNts+PMg3LsAO8ZD0Pegxx+Nxlakp8aysrLYt28fn376KYmJiQDcuXOHpKSkYg1OiMcVevke7+66BMCMpxvQrZEr91Kyawh52nrqfR6VSkUVq+z19Y7eyXttOyGEqExU/6q5p6SngZklPL8GzKzg+j448ZkRo9OfwYnQrVu38PPzo1+/fkyYMIH797MXdVy4cCFTp04t9gCFKKo/7sTzyqYzaBQY3LYmozvV4V7yPTSKBgsTC1ysXQw6n/Yx+tv6PUa/+NRiFpxYoFPBWgghKgqViQkqCwsAlLT/LbPh1hB6/K9w668zy8Uj9QYnQpMmTaJ169bExcVhbf3PsP+zzz5LaGhosQYnRFHdS0hj1PpTpGSo6VjPlXf6NUGlUnEn6Q4Annae2qUn9NXBswOQvYZYTtXogmy7vo0NlzdoJ00LIURF88+E6X8tvNp2NDR4BtQZ8N1wSIs3TnB6Mvjx+UOHDnHkyBEs/pcF5vD29ub27dvFFpgQRZXzmHx0Qhr13OxYFdQSc9PspOdOcnYiVM22msHnre1YGw9bD6KTo+m7vS/NqzZn0ZOLtPuDdgcRlx6nfR+fnv3DL5OlhRAVlUOvXijp6Zj8a2AElQr6fQR3z0NcJOycCAPWl9n5QgaPCGk0GtRqda7tf//9N/b29sUSlBBFpdYoTNx0lou3E3CxtWDd8DY4Wv/z6Pu/R4QMpVKp6FmrJ5D99FhMSozO/ttJt/kr8S/tC8DZyhlnK/0nZQshRHlS7Z238Vy4APNq//nj0roKDFgHJmZwaTucWmuU+PRh8IhQz549WbZsGZ99lj0JSqVSkZSUxJw5c+jdu/zUDRAV04KfL7Pv8j0szEz4LLg1NZ11R2PqONUhwDuAFm4tinT+V1u9Su86vclUZ+ZaTHVVt1VkajJ1ttV2rI2Fqe7oqRBCVAo1WkP3t7OLLO6ZATXaQLVmxo4qF5WiKIohB/z9998EBASgKArXrl2jdevWXLt2DVdXV37//Xfc3NxKKlajSEhIwNHRkfj4eBwcHIwdjijAxuNRvLntAgArB7cgsJnhoz5CCCH0pygKSno6KlNTVOZ5FJ5VFNg0GK7+nL022ZiDYFU6n6X6fn4bnAhB9uPzmzdv5vz58yQlJdGyZUuCgoJ0Jk9XFJIIlQ9Hb8QydO1xsjQKr/Woz8RuPoUfJIQQ4rHcGhpMysmTVF+6BIenn867UcpD+LQzxP8FjZ+D//uiVOYL6fv5XaS1xszMzHjxxReLHJwQxSkqNoVxG8LJ0ij0bebJK0/Vy7OdRtFwP+U+VW2qGvzEmBBCiNxyaglp0tLzb2TjnJ38rHsa/tgKtTtB65GlFGHhipQIXbt2jd9++42YmBg0Go3OvtmzZxdLYELoIzEtk1FfnuRRSibNajjywf81zXf5i3vJ9+j5Q09szGw4OuSoJENCCPGYVFbZiZCSnlZww5ptodts2Dsbfn4je76Qh18pRFg4gxOhNWvWMG7cOFxdXfHw8ND50FGpVJIIVWJZmiz+Tvwbb0dv7ft9t/bl297F2oU2Hm2KfL3sJ8TOcC0mCQ8HK9YEt8bKPP/V5G8n3dZeV5IgIYR4fCaW/6sjlFZIIgTg/wpEhsG1X2BLMIz+DaydSjZAPRicCL333nvMmzeP6dOnl0Q8ohzb/eduTkSfYI7/HCxMLchQZzDt92n5tu9So4s2EUpXp9N7a/5PHXaq3om57efqbFu45wq/RdzHytyENcGtcXOwyvvg/7mbfBco2qPzQgghctOOCBV0ayyHiQk8+wl8+iQ8/BO2jobB32ZvNyKDE6G4uDgGDBhQErGIcu5Wwi2uxV1jzYU1TGg+AROVCW092ubbvrVHa533/63L82+P0h8B2U8onLp3inWn9/LT79mPYX44oBl+NRwLjS9nRKi6XfVC2wohhCicdkSosFtjOWycYeDX8EUAXPsVDi6ErjNKMMLCGZwIDRgwgF9//ZWxY8eWRDyiHItPj+fyw8t0qdkFACszK9YG6FdEy9zEnG+f+Tbf/fYW2cU6Y1JieOmX0WhQY2JZlVc6PskzTfUb4dEWUzRgsVUhhBD5y1liQ68RoRyezeGZZbB9LBxckP3eN58nzkqBwYlQvXr1mDVrFseOHcPPzw/z/9QNmDhxYrEFJ8qX+IzsJSUcLQsfnfkvE5UJjVwaFdouM8MekpuC7Rlq1z3JpG4v6X2Nx6kqLYQQIjcr3/rY9+iOpY+BJUuaD4Y7p7NXqN86BsYcAJe6JRJjYQxOhD777DPs7Ow4ePAgBw8e1NmnUqkkEarEctbWcrAomXpLKRlZjP4qnMS4DtjWPkMsJ4lJvYeHrYdex+esMyaJkBBCFA/Hfv1w7NevaAf3nJe9HtntU3D7dPlJhG7evFkScYgKICcRKsqIUGEUReH1789z+W4CrnZ1aODainMPwtlweQNTWk/R6xy9vHtxK+EWXvZexR6fEEIIA5lZwAtfwcMbUKu98cIw2pVFhZOQkQCUTCL0ycE/2XX+LuamKj5+sRWpZpZMCA3nu6vfMabpGO0cooJMbCmjlUIIUdwURQGNBpVp/uVL8mXvnv0yIoMTIbVazfr16wkNDc2zoOL+/fuLLThRvmhHhCyKNxH6LSKGD365AsDcvo1p4+2MRulIXce63Ii/wdZrWxnWeBgAyZnJ+Z7HzMQMS1PLYo1NCCEqs/hdu7nz+uvYPvEEXl+U3RXmC2JwIjRp0iTWr19Pnz59aNKkSb5VfEXl837H93mU/gg3m+JbePfP+0lM3HQGRYHBbb0IalcLyJ5cPazxMD6/8DlVratq2z+x8Yk8z2NtZs1HT31Ea4/WUkxRCCGKicrMDDQaNOkGPDVWxhicCG3evJktW7bQu3f+xe9E5dTVq2uxni8xLZMxX4eTmJZF61pVeLtvY539gXUD6Vu3L6YmhQ/HpmalMnrvaN5o+waDGwwu1jiFEKKy+qegop51hMoggxMhCwsL6tXLe1FLIYqLRqPw6rfnuP6/5TNWv9gSCzPdkRwzk9zfvqdePJXvOU0wwdzUPN/9QgghDGNiZWBBxTLI4HsEU6ZMYfny5dmTo4T4n/sp99n9525OReefiBhiWeg19l2+h4WZCZ8ObYWbfcHLZ+SwNLXM9yVJkBBCFC+TohRULGMMHhE6fPgwv/32Gz///DONGzfOVVBx69atxRacKD8uP7zMG4feoJFLowIrROtjz8VoVoReA+D9Z/1oVtOpGCIUQghR3FQVYETI4ETIycmJZ599tiRiEeVYcT0xdj0mianfnQNgRAdv/q9VjceOTQghRMlQWRqw6GoZZXAitG7dupKIQ5RzxVFMMTk9i7HfhJOUnkXb2s682bthcYUnhBCiBJg6OGDbvj0mdnbGDqXIpKCiKBaPs84YZBfkmv7Dea7HJOFmb8lHQ1pgbiqPuQshRFlm5uJSbusH5ShSIvT999+zZcsWoqKiyMjI0Nl3+vTpYglMlC8J6dlVpYu6ztgXYZHsOn8XMxMVq4Na6j05WgghhHgcBv/JvWLFCkaMGIG7uztnzpyhbdu2uLi48Oeff/L000+XRIyiHHicEaETNx/y/k+XAZjZpyGtvZ2LNTYhhBAiPwYnQqtXr+azzz5j5cqVWFhY8Prrr7N3714mTpxIfHx8ScQoyoGizhGKSUhjwsbTqDUK/Zp7Mqy9dwlEJ4QQoqRcbd+By35Nybxzx9ihFInBiVBUVBTt22evEmttbU1iYiIAQ4cOZdOmTcUbnSg3XvJ7iXc7vEtLt5Z6H5Op1jB+w2nuJ6bj627P/Of8ZMkWIYQoZ5TMTMjMRFNOnxwzOBHy8PDg4cOHAHh5eXHs2DEAbt68KUUWK7FW7q3oX68/Xg5eeh/z/k+XOXUrDntLMz5+sSU2FjJ3XwghyhvtMhvltJaQwYnQU089xc6dOwEYMWIEr776Kj169GDgwIFSX0jobcfZ26wLiwRg8QvNqFO1/D56KYQQlZmJ5f+KKpbT9cYM/hP8s88+Q6PRADBhwgRcXFw4cuQIffv25eWXXy72AEXZpygKu2/uxsnSiXbV2mFuUvBSFlfvJfLGDxcAGN+lLj0be5RGmEIIIUrAPyNC5fPWmMGJkImJCSYm/wwkDRo0iEGDBhVrUKJ8ScpMYsahGUDBi54CJKRlMvbrcFIz1XSs58qUnr6lEaIQQogSUulGhAAePXrEiRMniImJ0Y4O5QgODi6WwET5kfPEmLWZNZamlvm2UxSFqVvO8eeDZDwdrVg+qDmmJjI5WgghyjNVOV941eBE6McffyQoKIikpCQcHBx0nvJRqVSSCFVCOTWECium+MnBP/n10j0sTE1Y/WIrXOzyT5qEEEKUD9ZNGqMyN8fU6fHWmjQWgxOhKVOmMHLkSN5//31sbGxKIiZRzuhTQ+jIjQcs+uUKAHP6NqK5rCgvhBAVgvuMGcYO4bEY/NTY7du3mThxoiRBQitneY38EqEHSelM2nwWjQLPt6zBkLb6P2IvhBBClCSDE6GAgABOnSp4QqyoXHJGhPK6NabRKLz67VnuJ6bj42bHu/0bS9FEIYQQZYZet8Zy6gYB9OnTh2nTpnHp0iX8/PwwN9d9VLpv377FG6Eo8wpaZ+zjgzc4dO0BVuYmrAqSoolCCFHRxCxZSty33+IyYjiuY8caOxyD6fWp1L9//1zb3nnnnVzbVCoVarX6sYMS5UvXml1xs3Gjhl0Nne0nIx+yZO9VAN7u25j67vbGCE8IIUQJUjIz0cTHo/7fklvljV6J0H8fkRfi33yq+OBTxUdnW1xyBhM3nUGtUejf3JMXWtc0UnTFR61Wk5mZaewwhBCFMDc3x9TU1NhhVBragoqV5fF5IQqjKApTvzvH3fg0arva8t6z5XsxVUVRiI6O5tGjR8YORQihJycnJzw8PMr1757yQltQsZyuNaZ3IrR//35CQkI4duwYDg66k2Lj4+Np3749H3/8MZ07dy72IEXZduT2EdSKGj9XP5ysnFh7+CahV2KwMDPhoyEtsLMs3/l2ThLk5uaGjY2N/GIVogxTFIWUlBRiYmIAqFatmpEjqvgqzYjQsmXLGD16dK4kCMDR0ZGXX36ZpUuXSiJUCS06tYjrj67zec/PsczyZcHP2fWCZj3TiMae5bPAVg61Wq1NglxcXIwdjhBCD9bW1gDExMTg5uYmt8lKmIlVzhIbqUaOpGj0fnz+3Llz9OrVK9/9PXv2JDw8vFiCEuVLzuPzJooNIRtPk6VR6O3nwYvtyn+9oJw5QVI3S4jyJednVub1lTyVZSVZYuPevXu5HpXXOZGZGffv3y+WoET5oSiKNhFate8Of8dlUdPZmgXPN61Qt5Aq0tciRGUgP7Olx6xqVayaNsWidm1jh1IkeidC1atX5+LFi9SrVy/P/efPn5d7sZVQmjqNDE0GAAeuJGNuasVHg1viYJV/0iyEEKLisOvYAbuOHYwdRpHpfWusd+/ezJo1i7S03LPCU1NTmTNnDs8880yxBifKvpzRIEUxAY0FbzzdkGayjli50aVLFyZPnmyUc3bu3JmNGzcW67Xzsn79epycnEr8OobYs2cPzZs3l9IkQpQBeidCM2fO5OHDh9SvX58PPviAHTt2sGPHDhYuXIivry8PHz7krbfeKslYRRkUnfQQAEVtQ/eGHozs4G3cgITW8OHD8yyGWhbs3LmTe/fuMWjQIGOHUuK8vb1ZtmyZzrZevXphbm7Ohg0bjBOUEEJL71tj7u7uHDlyhHHjxjFjxgwURQGy78MGBASwatUq3N3dSyxQUfYoisLifWcBMFNs+HBAxZoXJErOihUrGDFiBCYm+f8tlpmZWeC8xLIuIyMDCwuLfPcPHz6cFStWMHTo0FKMSojil379OlFjxmBq70CdHduNHY7BDFp0tVatWvz00088ePCA48ePc+zYMR48eMBPP/1E7XI6SUoU3bcn/+LwZRXpdwcwpunLONnk/0tfGF9ycjLBwcHY2dlRrVo1Fi9enKtNeno6U6dOpXr16tja2tKuXTsOHDig3R8bG8vgwYOpXr06NjY2+Pn5sWnTJoPiuH//Pvv37ycwMFBnu0ql4uOPP6Zv377Y2toyb948AHbs2EHLli2xsrKiTp06vP3222RlZWmPW7JkCX5+ftja2lKzZk3Gjx9PUlKS3vFERkaiUqnYvHkz7du3x8rKiiZNmnDw4EFtG7VazahRo6hduzbW1tb4+vqyfPlynfPkjMDNmzcPT09PfH196dKlC7du3eLVV19FpVLp/KEQGBjIqVOnuHHjhkH9J0SZo1KRdecumdHRxo6kSIpU6a5KlSq0adOmuGMR5UhEdCJzdv6BkuXAq08EMa5tXWOHVGoURSE10zhr6lmbmxZ51G3atGkcPHiQHTt24Obmxptvvsnp06dp3ry5tk1ISAiXLl1i8+bNeHp6sm3bNnr16sWFCxfw8fEhLS2NVq1aMX36dBwcHNi9ezdDhw6lbt26tG3bVq84Dh8+jI2NDQ0bNsy1b+7cuSxYsIBly5ZhZmbGoUOHCA4OZsWKFXTq1IkbN24wZswYAObMmQOAiYkJK1asoHbt2vz555+MHz+e119/ndWrVxvcP8uWLaNRo0YsWbKEwMBAbt68iYuLCxqNhho1avDdd9/h4uLCkSNHGDNmDNWqVeOFF17QniM0NBQHBwf27t0LZBfza9asGWPGjGH06NE61/Py8sLd3Z1Dhw5Rt27l+fkRFc8/j89X8MrSQuRIychiwsbTpGdpeLJ+VV7uXMfYIZWq1Ew1jWb/YpRrX3onABsLw39sk5KSWLt2Ld988w3dunUD4Msvv6RGjX8Wyo2KimLdunVERUXh6ekJwNSpU9mzZw/r1q3j/fffp3r16kydOlV7zCuvvMIvv/zCli1b9E6Ebt26hbu7e563xYYMGcKIESO070eOHMkbb7zBsGHDAKhTpw7vvvsur7/+ujYR+vfEbG9vb9577z3Gjh1rcCIUEhLC888/D8DHH3/Mnj17WLt2La+//jrm5ua8/fbb2ra1a9fm6NGjbNmyRScRsrW15fPPP9e5JWZqaoq9vT0eHh65runp6cmtW7cMilOIssYkp7J0ejqKopS7KRKSCAmDzd7xB9djknB3sGRcTyvC7hymjlMdqttVN3ZoIh83btwgIyODdu3aabc5Ozvj6+urfX/hwgXUajX169fXOTY9PV1bVVutVvP++++zZcsWbt++TUZGBunp6QYVnExNTcXqf5Vo/6t169Y678+dO0dYWJj2NllODGlpaaSkpGBjY8O+ffuYP38+V65cISEhgaysLJ39+vL399f+28zMjNatW3P58mXttlWrVvHFF18QFRVFamoqGRkZOqNpAH5+fgXOC/ova2trUlJS9G4vRFmk+tfP84OVK3EIDMTyf9Nl0q5cITE0NN9jHXr2xNLHJ9/9pUESIWGQH8L/5vvwvzFRwfJBLdgTtZIfrv3AhOYTGNtsrLHDKxXW5qZceifAaNcuKUlJSZiamhIeHp5rSQI7OzsAFi1axPLly1m2bJl2Xs7kyZPJyMjQ+zqurq7ExcXluc/W1jZXTG+//TbPPfdcrrZWVlZERkbyzDPPMG7cOObNm4ezszOHDx9m1KhRZGRkFFtF8M2bNzN16lQWL16Mv78/9vb2LFq0iOPHjxcYf2EePnxI1apViyVGIYzFxMoKlYUFSkYGD1Z/jJWf3z+J0OUrPFj5Ub7HWtapI4mQKD+uxyQxa8dFACZ1q88TdVzYEpUAgKNl+V5TzBAqlapIt6eMqW7dupibm3P8+HG8vLKXPomLi+Pq1as8+eSTALRo0QK1Wk1MTAydOnXK8zxhYWH069ePF198EQCNRsPVq1dp1KiR3rG0aNGC6Oho4uLiqFKlSoFtW7ZsSURERL6FXMPDw9FoNCxevFh7q23Lli16x/Jvx44d066VmJWVRXh4OCEhIUD2192+fXvGjx+vba/vJGcLCwvU6txzytLS0rhx4wYtWrQoUrxClBUqMzM8P/iA5KNHATD/3611AAvvWjgNHJjvseY1apZ4fIUpX7/NhdGkZaoJ2XialAw17eu6EPJU9gdTQvr/EiGLypMIlUd2dnaMGjWKadOm4eLigpubG2+99ZbOPJ369esTFBREcHAwixcvpkWLFty/f5/Q0FCaNm1Knz598PHx4fvvv+fIkSNUqVKFJUuWcO/ePYMTIVdXV8LCwgotwjp79myeeeYZvLy8+L//+z9MTEw4d+4cFy9e5L333qNevXpkZmaycuVKAgMDCQsL45NPPilSH61atQofHx8aNmzI0qVLiYuLY+TIkQD4+Pjw1Vdf8csvv1C7dm2+/vprTp48qdfTst7e3vz+++8MGjQIS0tLXF1dgezEy9LSUueWnBDllUOvABx65R4pt2nRApsynuwb9Pi8qLze2XWJK9GJuNpZsGxgc0xNsifDxWdkV5Z2sHQwZnhCD4sWLaJTp04EBgbSvXt3OnbsSKtWrXTarFu3juDgYKZMmYKvry/9+/fn5MmT2lGkmTNn0rJlSwICAujSpQseHh4GF200NTVlxIgRehUTDAgIYNeuXfz666+0adOGJ554gqVLl1KrVi0AmjVrxpIlS1i4cCFNmjRhw4YNzJ8/36B4cixYsIAFCxbQrFkzDh8+zM6dO7VJy8svv8xzzz3HwIEDadeuHbGxsTqjQwV55513iIyMpG7dujq3wTZt2kRQUJAs6CuEkamUnMqIIk8JCQk4OjoSHx+Pg0Pl/LD/8dwdXtl0BpUKvhrZlk4+//wy7/l9T+4m32Vj7434VfUzYpQlIy0tjZs3b1K7du18J/gKw0VHR9O4cWNOnz6tTWqMJTIyktq1a3PmzJlck59LyoMHD/D19eXUqVNSg62EyM+u0PfzW26NlRPbrm3jwF8H8t0/o90MPGxzP55bFLcSbrElYgsZ6gwS07LYdf4Olu4KfjUcuJUZRyde1La9m3wXqFxzhMTj8/DwYO3atURFRRk9ETKGyMhIVq9eLUmQEGWAJELlxPVH19n/1/58909qOanYrrX67Gp+uvmT9r3KESyAiBQIjYrlxUbZiZCiKKhQYWpiirOVc7FdX1QOZXUdtNLQunXrXKUChBDGIYlQOdGjVg+8Hb3z3e9i7cK5++dYfGox7jbuLHpyUZGv5WLtggoVjqa1uRddGytzE4La1cLOygxP23+eBlCpVExuNZl6TvWws7Ar8vWEMCZvb29khoAQlZckQuVEc7fmNHdrXmAbtUbNmZgz1LCrUWC7wrze5nWaWgcz9ptwAD4Z3pqnGuS9oO7IJiMf61pCCCGEMZWbp8YePnxIUFAQDg4OODk5MWrUqEIXVuzSpYt2ocOc19ix5avo39mYs/zfzv9jVtisQtu6WGdX/41Ni32sa/71MIXXvz8HwJjOdfJNgoQQQojyrtyMCAUFBXH37l327t1LZmYmI0aMYMyYMWzcuLHA40aPHs0777yjfV/eHlW9n3qfiLgIbMwLj9vFKjsRSs1KJSUzRa9j/itTreGVTWdISMuieU0npvb0LfwgIYQQopwqF4nQ5cuX2bNnDydPntROMFy5ciW9e/fmww8/1C4QmRcbG5s8FzssL5Iyske97C3sC21ra26Lpakl6ep0YtNii5QIvf1TGNetX8O+jjMr/28bFmblZtBQCCGEMFi5+JQ7evQoTk5OOk9ZdO/eHRMTk1xr/fzXhg0bcHV1pUmTJsyYMaPcLXCYkJFdudnOvPDJyCqVSjsq9DDtocHX2n/lHhvD/0BlmoaTXSY1ncvX6JkQQghhqHIxIhQdHY2bm5vONjMzM5ydnYmOjs73uCFDhlCrVi08PT05f/4806dPJyIigq1bt+Z7THp6Ounp6dr3CQkJj/8FPIakTP1HhCB7ntCd5DvEpho2T+hufCpTtpxDZZYIQHUHt0KOEEIIIco/o44IvfHGG7kmM//3deXKlSKff8yYMQQEBODn50dQUBBfffUV27ZtK3CxxPnz5+Po6Kh91axp3AXhEjOyExN9EyEPWw/cbdzRKBq9r5Gl1jBp01niUjKp4Zq9OGTOxGtRsXXp0oXJkycb5ZydO3fWmeOnUqnYvn17scZSFJGRkahUKs6ePWvsUMqMQYMGsXjxYmOHIUSJMOqI0JQpUxg+fHiBberUqYOHhwcxMTE627Oysnj48KFB83/atWsHwPXr16lbt26ebWbMmMFrr72mfZ+QkGDUZMjQRGhJlyUGX2PZvmuciHyInaUZvZvZ8c1VpEBiBTB8+HAePXpUJpKL/9q5cyf37t1j0KBB2m13794tdDX60lCzZk3u3r2rXWesMjlw4ABdu3YlLi4OJycn7faZM2fSuXNnXnrpJRwdpYq8qFiMmghVrVpVZxHC/Pj7+/Po0SPCw8O1i0Tu378fjUajTW70kfMXXrVq1fJtY2lpiaWlpd7nLGnWZtY4WznjZOlUIuc/dO0+qw5cB+D95/z4I+008M8TaEKUhBUrVjBixAhMTP4ZlC4rDzWYmpqWSiwZGRlYWFiU+HX0lZmZme++Jk2aULduXb755hsmTJhQilEJUfLKxWTphg0b0qtXL0aPHs2JEycICwsjJCSEQYMGaZ8Yu337Ng0aNODEiRMA3Lhxg3fffZfw8HAiIyPZuXMnwcHBdO7cmaZNmxrzyzHIzCdmcnDgQZ7zea7Yzx2TmMar355FUWBwWy/6NvPUTrKWW2MFUBTISDbO6zEqICcnJxMcHIydnR3VqlXL81ZHeno6U6dOpXr16tja2tKuXTsOHDig3R8bG8vgwYOpXr06NjY2+Pn5sWnTJoPiuH//Pvv37ycwMFBn+79vjeXcntqyZQudOnXC2tqaNm3acPXqVe3To3Z2djz99NPcv39fe46TJ0/So0cPXF1dcXR05Mknn+T06dM617ly5QodO3bEysqKRo0asW/fvjyvnfOH04EDB1CpVISGhtK6dWtsbGxo3749ERER2nPeuHGDfv364e7ujp2dHW3atGHfvn061/X29ubdd98lODgYBwcHxowZw1NPPUVISEiu/rGwsCA0NDTP/ps7dy7Nmzfn008/pWbNmtjY2PDCCy8QHx9vUD+oVCo+/vhj+vbti62tLaNHj6Zr164AVKlSBZVKpTNiHxgYyObNm/OMSYjyrFxMlobsp79CQkLo1q0bJiYmPP/886xYsUK7PzMzk4iICO1TYRYWFuzbt49ly5aRnJxMzZo1ef7555k5c6axvoRScfreaZaGL6W6fXUWdFqQbzu1RmHy5rM8SMqggYc9cwIbAVDNthoNnBtQ3a56aYVc/mSmwPv5l2woUW/eAQvbIh06bdo0Dh48yI4dO3Bzc+PNN9/k9OnTOiuuh4SEcOnSJTZv3oynpyfbtm2jV69eXLhwAR8fH9LS0mjVqhXTp0/HwcGB3bt3M3ToUOrWrUvbtm31iuPw4cPY2NjQsGHDQtvOmTOHZcuW4eXlxciRIxkyZAj29vYsX75cmwDMnj2bjz/+GIDExESGDRvGypUrURSFxYsX07t3b65du4a9vT1qtZr+/fvj5eXF8ePHSUxMZMqUKXrF/dZbb7F48WKqVq3K2LFjGTlyJGFhYQAkJSXRu3dv5s2bh6WlJV999RWBgYFERETg5eWlPceHH37I7NmzmTNnDgDHjx8nJCSExYsXa0eiv/nmG6pXr85TTz2VbyzXr19ny5Yt/PjjjyQkJDBq1CjGjx/Phg0b9OqHHHPnzmXBggUsW7YMU1NT+vbty/PPP09ERAQODg5YW1tr27Zt25Z58+aRnp5epkbNhXhc5SYRcnZ2LrB44n/XC6pZsyYHDx4sjdDKlCxNFmfvnyU+I77Adqt+u86RG7FYm5vy0ZCWWJmbAvBa69cKPE6UT0lJSaxdu5ZvvvmGbt26AfDll19So8Y/y7FERUWxbt06oqKitCOtU6dOZc+ePaxbt47333+f6tWrM3XqVO0xr7zyCr/88gtbtmzROxG6desW7u7uOrfF8jN16lQCAgIAmDRpEoMHDyY0NJQOHToAMGrUKNavX69t/9/k4bPPPsPJyYmDBw/yzDPPsHfvXm7cuMGBAwe0t7/mzZtHjx49Co1l3rx5PPnkk0D2gx59+vQhLS0NKysrmjVrRrNmzbRt3333XbZt28bOnTt1RnyeeuopncSrevXqhISEsGPHDl544QUA1q9fz/Dhw1GpVPnGkpaWxldffUX16tl/sKxcuZI+ffqwePFiPDw8Cu2HHEOGDGHEiBHa9zdv3gTAzc1NZ44QgKenJxkZGURHR1OrVq1C+0uI8qLcJEKV1fA9w1GhYn6n+XjYFj5vQbvMRgGPzx/7M5Zl+64C8F7/JtRzkwVTDWJukz0yY6xrF8GNGzfIyMjQmVPn7OyMr+8/lcMvXLiAWq2mfv36Osemp6fj4pL9faVWq3n//ffZsmULt2/fJiMjg/T0dIMqtqempmJlZaVX23/fxnZ3z17qxc/PT2fbvx+kuHfvHjNnzuTAgQPExMSgVqtJSUkhKioKgIiICGrWrKkzB0jfBO7fseTMM4yJicHLy4ukpCTmzp3L7t27uXv3LllZWaSmpmqvm+O/K85bWVkxdOhQvvjiC1544QVOnz7NxYsX2blzZ4GxeHl5aZMgyJ5HqdFoiIiIwMPDo9B+yC+eguSMDpW3WmxCFEYSoTJMURTOxJxBo2gwVZnqdUzOJOeEjAQy1ZmYm5rr7I9NSmfS5jNoFHi+ZQ2eb/V4C7RWSipVkW9PlWVJSUmYmpoSHh6Oqanu95udXXayvGjRIpYvX86yZcvw8/PD1taWyZMnk5GRofd1XF1diYuL06utufk/3785IyT/3abR/FMqYtiwYcTGxrJ8+XJq1aqFpaUl/v7+BsVnSCw51546dSp79+7lww8/pF69elhbW/N///d/ua5ra5v7++all16iefPm/P3336xbt46nnnrqsUdc9O2HvOLJz8OH2fMH9XnARYjyRBKhMiwlK0VbD8jOQr9RGwdLB8xUZmQpWcSmxeqMImk0Cq9tOce9hHTqVrXlnX6NdY6NSYmh/47+uNu4s7Xv1gKH5kX5UrduXczNzTl+/Lh2zkpcXBxXr17V3u5p0aIFarWamJgYOnXqlOd5wsLC6NevHy+++CKQnQhcvXqVRo0a6R1LixYtiI6OJi4urtgflw8LC2P16tX07t0bgL/++osHDx5o9/v6+vLXX39x79497QjTyZMni+W6w4cP59lnnwWyk8rIyEi9jvXz86N169asWbOGjRs38tFHHxV6TFRUFHfu3NHewjx27BgmJibaEb7C+iE/OU+xqdXqXPsuXrxIjRo1KmVZAVGxlYunxiqrnBpCZiZmWJnqdyvBRGVCFavsD5f/rkL/2aE/OXj1PpZmJqwKaomtpW4e/CD1AYkZicSnx0sSVMHY2dkxatQopk2bxv79+7l48SLDhw/XmadTv359goKCCA4OZuvWrdy8eZMTJ04wf/58du/eDYCPjw979+7lyJEjXL58mZdffpl79+4ZFEuLFi1wdXXVTjQuTj4+Pnz99ddcvnyZ48ePExQUpDPht0ePHtStW5dhw4Zx/vx5wsLCtA9QPM73vI+PD1u3buXs2bOcO3eOIUOG6IxUFeall15iwYIFKIqiTaYKYmVlxbBhwzh37hyHDh1i4sSJvPDCC9pbfoX1Q35q1aqFSqVi165d3L9/n6SkJO2+Q4cO0bNnT72/JiHKC0mEyjBtMUVze4N+Sec1Tyj81kMW/ZL9uO/cvo1p4OGQ67icR+elmGLFtGjRIjp16kRgYCDdu3enY8eO2rpcOdatW0dwcDBTpkzB19eX/v37c/LkSe0o0syZM2nZsiUBAQF06dIFDw8P+vfvb1AcpqamjBgxQvuEU3Fau3YtcXFxtGzZkqFDhzJx4kSd5XlMTU3Zvn07SUlJtGnThpdeeom33noLQO95S3lZsmQJVapUoX379gQGBhIQEEDLli31Pn7w4MGYmZkxePBgveKoV68ezz33HL1796Znz540bdqU1atXa/cX1g/5qV69Om+//TZvvPEG7u7u2oneaWlpbN++ndGjR+v9NQlRXqgU5TEKk1QCCQkJODo6Eh8fj4ND7uShJJ2JOUPwz8F42Xux+7ndeh83cf9ELj+8zJtt36SrV1ceJmfQZ8Uh7sanEdjMkxWDmueZWO24voOZYTNp79meT3t8WpxfSrmVlpbGzZs3qV279mN9UApd0dHRNG7cmNOnTxv9CaSwsDA6duxYYMX5khYZGUndunU5efJkoQnU3Llz2b59e6kuAfLxxx+zbds2fv3111K75uOSn12h7+e3zBEqw3JGhPSdH5RjxVP/1FfKnhd0lrvxadRxtWX+c375ji7l3EqTqtKipHl4eLB27VqioqJKPRHatm0bdnZ2+Pj4cP36dSZNmkSHDh2MkgRlZmYSGxvLzJkzeeKJJwwaRSpN5ubmrFy50thhCFEiJBEqw9QaNc5Wzto5P0Xxye83OBDxz7wgO8v8/8tzbqVJVWlRGgy9pVZcEhMTmT59OlFRUbi6utK9e3ejLSgaFhZG165dqV+/Pt9//71RYtDHSy+9ZOwQhCgxkgiVYV29utLVq2uRjz/+Zywf/m9e0Nt9G9OwWsG39mRESFQGwcHBBAcHGzsMALp06YKhsxPmzp3L3LlzSyYgISohSYQqoJPRJ1l8chlX/rJAo/wfz7WozsA2NQs9Tru8hr0sryGEEKJykESoAkrLyuCPh+dRm3pQz82O955totdTZ5NaTmJSy0mlEKEQQghRNsjj82XYZ+c/Y8SeEey5uceg4/ZdSAbAxCyJ1UEtsbGQfFcIIYTIiyRCZdi1uGucuncqV2HEghy5/oCvw7LrAZmYpVC3atHWphJCCCEqA0mEyjDt4/Pm+j0+H5OYxsTNZ9Fk2QAqFDTEpeu3plNsaiztN7an7/a+2mU9hBBCiIpOEqEyLDFT/zpCmWoNIRvO8CApHV93J5wsnYCCV6H/t9i0WBIzE3mU9ggTlXxbiLytX78eJycnY4dhEH1jXrt2baktIaFSqdi+fXupXEsfGRkZeHt7c+rUKWOHIkSpk0+8MiwpI3udHweLwitav//TZU5EPsTe0oyPX2yJa84yG3reVpMaQhXP8OHDUalUuV69evXS63hvb2+WLVums23gwIFcvXq1BKLVVdoJV1paGrNmzWLOnDmldk1jmTt3Ls2bN9fZZmFhwdSpU5k+fbpxghLCiGQWbRmm762xHWdvsy4sEoDFLzSjTlU7qtlWIzkzmSxNll7XkhpCFVOvXr1Yt26dzjZLS8sin8/a2lqvxTvLm++//x4HBwc6dOiQb5uMjAzt6uzlkaIoea4qnyMoKIgpU6bwxx9/0Lhx41KMTAjjkhGhMiwpM3tEyN7CPt82V6ITeOOHCwCM71KXno2zV59e3X01v/7fr3Su0Vmva+WMCDlby4KrFYmlpSUeHh46rypVsiuVK4rC3Llz8fLywtLSEk9PTyZOnAhkF/q7desWr776qnYkCXKP1OSMLnzxxRd4eXlhZ2fH+PHjUavVfPDBB3h4eODm5sa8efN04lqyZAl+fn7Y2tpSs2ZNxo8fr13p/MCBA4wYMYL4+HjttXMKCKanpzN16lSqV6+Ora0t7dq148CBAzrnXr9+PV5eXtjY2PDss88SG1v4qOjmzZsJDAzU2TZ8+HD69+/PvHnz8PT0xNfXF4C//vqLF154AScnJ5ydnenXrx+RkZHa406ePEmPHj1wdXXF0dGRJ598ktOnTxcaw7916dKFkJAQQkJCcHR0xNXVlVmzZukUX/z6669p3bo19vb2eHh4MGTIEGJiYrT7Dxw4gEql4ueff6ZVq1ZYWlryzTff8Pbbb3Pu3Dlt365fvx6AKlWq0KFDBzZv3mxQrEKUd5IIlVFZmiyszawxMzHLNxGKT83k5a/DSc1U08nHlSk9fYt8PRkRMlxKZkq+r3R1ut5t07LS9Gpb3H744QeWLl3Kp59+yrVr19i+fTt+fn4AbN26lRo1avDOO+9w9+5d7t69m+95bty4wc8//8yePXvYtGkTa9eupU+fPvz9998cPHiQhQsXMnPmTI4fP649xsTEhBUrVvDHH3/w5Zdfsn//fl5//XUA2rdvz7Jly3BwcNBee+rUqQCEhIRw9OhRNm/ezPnz5xkwYAC9evXi2rVrABw/fpxRo0YREhLC2bNn6dq1K++9916hfXH48GFat26da3toaCgRERHs3buXXbt2kZmZSUBAAPb29hw6dIiwsDDs7Ozo1asXGRkZQPYSHsOGDePw4cMcO3YMHx8fevfuTWJiop7/M9m+/PJLzMzMOHHiBMuXL2fJkiV8/vnn2v2ZmZm8++67nDt3ju3btxMZGcnw4cNzneeNN95gwYIFXL58mR49ejBlyhQaN26s7duBAwdq27Zt25ZDhw4ZFKcQ5Z3cGiujzEzMODjwYL7l9zUahSlbznIrNoXqTtYsH9QCU5PCiybmR+YIGa7dxnb57utUvROru6/Wvu+ypQupWal5tm3t3pp1vf65fdXrh155Pu13YdgFg2PctWsXdna6t1bffPNN3nzzTaKiovDw8KB79+6Ym5vj5eVF27ZtAXB2dsbU1FQ72lAQjUbDF198gb29PY0aNaJr165ERETw008/YWJigq+vLwsXLuS3336jXbvsPps8ebL2eG9vb9577z3Gjh3L6tWrsbCwwNHREZVKpXPtqKgo1q1bR1RUFJ6engBMnTqVPXv2sG7dOt5//32WL19Or169tElV/fr1OXLkCHv25F+L69GjR8THx2vP+W+2trZ8/vnn2lti33zzDRqNhs8//1w7SrZu3TqcnJw4cOAAPXv25KmnntI5x2effYaTkxMHDx7kmWeeKbAv/61mzZosXboUlUqFr68vFy5cYOnSpYwePRqAkSNHatvWqVOHFStW0KZNG5KSknT+z9955x169OihfW9nZ4eZmVme/6+enp7cunVL7xiFqAhkRKiM+/dtiX9b9dt19l2OwcLMhE9ebIWzre7chWN3jxH0UxCzw2brdZ1qttVo6NyQGvY1iiVuUTZ07dqVs2fP6rzGjh0LwIABA0hNTaVOnTqMHj2abdu2kZWl35yyf/P29sbe/p9RS3d3dxo1aoSJiYnOtn/fttm3bx/dunWjevXq2NvbM3ToUGJjY0lJyX/k68KFC6jVaurXr4+dnZ32dfDgQW7cuAHA5cuXtclWDn9//wLjT03NTlCtrKxy7fPz89OZF3Tu3DmuX7+Ovb299vrOzs6kpaVpY7h37x6jR4/Gx8cHR0dHHBwcSEpKIioqqsA4/uuJJ57Q+dn39/fn2rVr2nk+4eHhBAYG4uXlhb29PU8++SRAruvkNdKVH2tr6wL/D4SoiGREqBw6EBHDkn3ZT+68168JfjUcc7XJUGdw/v55MtWZep0zpEUIIS1CijXOiu74kOP57jM1MdV5f+CFA/m2/W+5gj3PG1ZJvCC2trbUq1cvz301a9YkIiKCffv2sXfvXsaPH8+iRYs4ePAg5ubmel/jv21VKlWe2zSa7PpUkZGRPPPMM4wbN4558+bh7OzM4cOHGTVqFBkZGdjY5F0ENCkpCVNTU8LDwzE11e3f/456GcLFxQWVSkVcXO5ROFtb21wxtGrVig0bNuRqW7VqVQCGDRtGbGwsy5cvp1atWlhaWuLv76+9dVYckpOTCQgIICAggA0bNlC1alWioqIICAjIdZ3/fg0FefjwofbrEKKykESojLpw/wJLTy/Ft4ov09v+80jrXw9TmLT5LIoCg9t68UI+i6nmzPUxpCq1MIyNuf5Vu0uq7eOytrYmMDCQwMBAJkyYQIMGDbhw4QItW7bEwsKiwKeMiio8PByNRsPixYu1o0ZbtmzRaZPXtVu0aIFarSYmJoZOnTrlee6GDRvqzEUCOHbsWIHxWFhY0KhRIy5dulRoHaGWLVvy7bff4ubmhoND3mUtwsLCWL16Nb179wayJ1c/ePCgwPPmJa+vw8fHB1NTU65cuUJsbCwLFiygZs3s3wH61gAq6P/14sWLtGjRwuBYhSjP5NZYGRWdEs3J6JP8EfuHdltSehYvfXmK+NRMmtV0Ym7fRvkenzPX52Haw3znGYmKLz09nejoaJ1Xzofy+vXrWbt2LRcvXuTPP//km2++wdramlq1agHZt7x+//13bt++XaQP8vzUq1ePzMxMVq5cyZ9//snXX3/NJ598otPG29ubpKQkQkNDefDgASkpKdSvX5+goCCCg4PZunUrN2/e5MSJE8yfP5/du3cDMHHiRPbs2cOHH37ItWvX+OijjwqcH5QjICCAw4cPF9ouKCgIV1dX+vXrx6FDh7h58yYHDhxg4sSJ/P333wD4+Pjw9ddfc/nyZY4fP05QUFCRSg5ERUXx2muvERERwaZNm1i5ciWTJmUviuzl5YWFhYW2D3fu3Mm7776r13m9vb25efMmZ8+e5cGDB6Sn/zOx/9ChQ6VWVFKIskISoTIqp5hizhNjao3CpE1niLiXSFV7Sz55sSWWZqb5Hu9slf0YfJYmi4SMhAKvFZ8ej/9Gf57Z9ozedYdE+bBnzx6qVaum8+rYsSMATk5OrFmzhg4dOtC0aVP27dvHjz/+iItLdhL9zjvvEBkZSd26dYv1dkmzZs1YsmQJCxcupEmTJmzYsIH58+frtGnfvj1jx45l4MCBVK1alQ8++ADInpgcHBzMlClT8PX1pX///pw8eRIvLy8ge17NmjVrWL58Oc2aNePXX39l5syZhcY0atQofvrpJ+Lj4wtsZ2Njw++//46XlxfPPfccDRs2ZNSoUaSlpWlHiNauXUtcXBwtW7Zk6NChTJw4ETc3N4P7KTg4mNTUVNq2bcuECROYNGkSY8aMAbJvw61fv57vvvuORo0asWDBAj788EO9zvv888/Tq1cvunbtStWqVdm0aRMAR48eJT4+nv/7v/8zOFYhyjOVIsMFBUpISMDR0ZH4+Ph8h8JLwpd/fMmHpz6kd+3eLOy8kPd/usxnv/+JpZkJ377sT/OaToWeo/2m9iRmJNK8anO+7v21dvtrB17jWtw17ftMTSa3k25jb2HPkcFHSuLLKbfS0tK4efMmtWvXznMyrag4BgwYQMuWLZkxY4axQ6FLly40b948V2XvkjRw4ECaNWvGm2++WWrXLEnysyv0/fyWEaEy6t/FFLec+ovPfv8TgEUDmumVBAE0cs6+dRadEq2zPTo5msiESO3rdtJtABo6Nyym6IUofxYtWvRYk67Ls4yMDPz8/Hj11VeNHYoQpU4mS5dROctrJKaY8VZodv2Yid186Nssd62T/KzstpIrD69gbqL7BM9s/9m5CvSpVCoaODd4zKiFKL+8vb155ZVXjB2GUVhYWOh1C1GIikgSoTIqJxHacz6eTLVCH79qTO7mY9A5rM2saeGW+wkQSXiEKNv+u2yIEKLkyK2xMiojSw2KKSlp5vhVd+TDAc0weYzK0UIIIYTITUaEyiC1RuHBzedIjOhIVXsL1gS3xtoi/yfEhBBCCFE0MiJUxiiKwnu7L/FbxH0szUxZO6wtHo7yxIMQQghREiQRKmM+P3STdWGRACx+oRlNazgZNR4hhBCiIpNEqAzZcfY28366DEDTVj+w98FC7qfcN3JUQgghRMUliVAZceT6A6Z+dw6AEe29uZUazv6/9hs5KiGEEKJik0SoDLh4O56Xvw7XPib/WkAtNEr2St12FpWzwJsom9avX4+Tk5OxwzCIvjGvXbtWZ52t4cOH079//5ILzABdunRh8uTJxg6jzNizZw/NmzdHo9EYOxRRAUgiZGTXY5II/uIEielZtK3tzOIXmpGclV1V2szEDCtTmSgtimb48OGoVKpcr169eul1vLe3d64lHgYOHMjVq1dLIFpdpZ1wpaWlMWvWLObMmaPdtnz5ctavX19qMRRk69atei+qWtHk9X3Yq1cvzM3N2bBhg3GCEhWKPD5vRH/HpTB07XEeJmfgV92RtcNaY2VuSmJSdjFFe3N7VCqpHSSKrlevXqxbt05nm6WlZZHPZ21tXaSV1Mu677//HgcHBzp06KDd5ujoaMSIdDk7O5f4NTIyMrCwsCjx6+irsHiGDx/OihUrGDp0aClGJSoiGREykvuJ6bz4+XHuxqdRz82OL0e2xd4qeymMnKrSOSvPC1FUlpaWeHh46LyqVKkCZJdqmDt3Ll5eXlhaWuLp6cnEiROB7Fsxt27d4tVXX9WOJEHukZq5c+fSvHlzvvjiC7y8vLCzs2P8+PGo1Wo++OADPDw8cHNzY968eTpxLVmyBD8/P2xtbalZsybjx48nKSl7JPTAgQOMGDGC+Ph47bXnzp0LQHp6OlOnTqV69erY2trSrl27XFWY169fj5eXFzY2Njz77LPExsYW2k+bN28mMDBQZ9t/b4116dKFV155hcmTJ1OlShXc3d1Zs2YNycnJjBgxAnt7e+rVq8fPP/+sPUatVjNq1Chq166NtbU1vr6+LF++XOc6WVlZTJw4EScnJ1xcXJg+fTrDhg3Lde1/3xrz9vbm/fffZ+TIkdjb2+Pl5cVnn32mc97p06dTv359bGxsqFOnDrNmzSIzM1O7P+f/7vPPP9cuTPrVV1/h4uJCenq6zrn69++fb8IRGRmJSqVi8+bNtG/fHisrK5o0acLBgwcN6oec/p43bx6enp74+vrm+30IEBgYyKlTp7hx40aecQmhL0mEjCAjS0PwFyeIjE2hRhVrvhnVDmfbf/7yyVlwVeYHlW2alJT8X//5ICmwbVqaXm2L2w8//MDSpUv59NNPuXbtGtu3b8fPzw/IvhVTo0YN3nnnHe7evcvdu3fzPc+NGzf4+eef2bNnD5s2bWLt2rX06dOHv//+m4MHD7Jw4UJmzpzJ8ePHtceYmJiwYsUK/vjjD7788kv279/P66+/DkD79u1ZtmwZDg4O2mtPnToVgJCQEI4ePcrmzZs5f/48AwYMoFevXly7dg2A48ePM2rUKEJCQjh79ixdu3blvffeK7QvDh8+TOvWrQtt9+WXX+Lq6sqJEyd45ZVXGDduHAMGDKB9+/acPn2anj17MnToUFL+9/+l0WioUaMG3333HZcuXWL27Nm8+eabbNmyRXvOhQsXsmHDBtatW0dYWBgJCQls37690FgWL15M69atOXPmDOPHj2fcuHFERERo99vb27N+/XouXbrE8uXLWbNmDUuXLtU5x/Xr1/nhhx/YunUrZ8+eZcCAAajVanbu3KltExMTw+7duxk5cmSB8UybNo0pU6Zw5swZ/P39CQwM1Cah+vQDQGhoKBEREezdu5ddu3YV+H3o5eWFu7s7hw4dKrSvhCiQIgoUHx+vAEp8fHyxnvebY5FK23l7lZv3k3Lt23Nzj9L8y+bKqF9GFes1heFSU1OVS5cuKampqbn2XfJtkO/r1pgxOm0vN2+Rb9vIF4fqtI14wj/PdoYaNmyYYmpqqtja2uq85s2bpyiKoixevFipX7++kpGRkefxtWrVUpYuXaqzbd26dYqjo6P2/Zw5cxQbGxslISFBuy0gIEDx9vZW1Gq1dpuvr68yf/78fGP97rvvFBcXl3yvoyiKcuvWLcXU1FS5ffu2zvZu3bopM2bMUBRFUQYPHqz07t1bZ//AgQNznevf4uLiFED5/fffdbYPGzZM6devn/b9k08+qXTs2FH7PisrS7G1tVWGDv3n/+/u3bsKoBw9ejTf602YMEF5/vnnte/d3d2VRYsW6ZzXy8sr17UnTZqkfV+rVi3lxRdf1L7XaDSKm5ub8vHHH+d73UWLFimtWrXSvp8zZ45ibm6uxMTE6LQbN26c8vTTT2vfL168WKlTp46i0WjyPO/NmzcVQFmwYIF2W2ZmplKjRg1l4cKF+cbz334YNmyY4u7urqSnp+u0y+v7MEeLFi2UuXPn5rmvoJ9dUTno+/ktc4SMJKhdLfo3r46tZe7/ggDvAHrW6kmWJssIkYmKpGvXrnz88cc623LmmwwYMIBly5ZRp04devXqRe/evQkMDMTMzLBfC97e3tjb/3Mb193dHVNTU0xMTHS2xcTEaN/v27eP+fPnc+XKFRISEsjKyiItLY2UlBRsbGzyvM6FCxdQq9XUr19fZ3t6ejouLi4AXL58mWeffVZnv7+/P3v27Mk3/tTUVACsrAp/MKFp06baf5uamuLi4qIdRcv5OgGdr3XVqlV88cUXREVFkZqaSkZGBs2bNwcgPj6ee/fu0bZtW53ztmrVqtAnov4di0qlwsPDQ+e63377LStWrODGjRskJSWRlZWFg4ODzjlq1apF1apVdbaNHj2aNm3acPv2bapXr8769eu1E+8L4u/vr/23mZkZrVu35vLly3r1Qw4/Pz+D5ilZW1trR9+EKCpJhIworyQoh0qlwtzUvBSjEYbyPR2e/05T3bXh6ocdzr+tie4d6nqh+x4nLB22trbUq1cvz301a9YkIiKCffv2sXfvXsaPH8+iRYs4ePAg5ub6f+/9t61KpcpzW84He2RkJM888wzjxo1j3rx5ODs7c/jwYUaNGkVGRka+iVBSUhKmpqaEh4dj+p/+tbMr+m1kFxcXVCoVcXFxhbYt7GvNSRZyvtbNmzczdepUFi9ejL+/P/b29ixatEjnNmFRFdTHR48eJSgoiLfffpuAgAAcHR3ZvHkzixcv1jnG1tY213lbtGhBs2bN+Oqrr+jZsyd//PEHu3fvfqxY9e2HvOIpyMOHD3MlckIYShIhI3qY9pC0rLQ89zlZOmFjnvcHgigbTPL5wC7Nto/L2tqawMBAAgMDmTBhAg0aNODChQu0bNkSCwsL1Gp1sV8zPDwcjUbD4sWLtaNG/50rkte1W7RogVqtJiYmhk6dOuV57oYNG+b6cD127FiB8VhYWNCoUSMuXbqkU0eoOISFhdG+fXvGjx+v3fbvyb2Ojo64u7tz8uRJOnfuDGRPLD59+nSu0RJDHDlyhFq1avHWW29pt926dUvv41966SWWLVvG7du36d69OzVr1iz0mGPHjmm/hqysLMLDwwkJCQEK74eC5Pd9mJaWxo0bN2jRooVe5xEiP5IIGdG7R99lX1Tef/37V/NnUINBPOX1VClHJSqS9PR0oqOjdbaZmZnh6urK+vXrUavVtGvXDhsbG7755husra2pVasWkH3L6/fff2fQoEFYWlri6upaLDHVq1ePzMxMVq5cSWBgIGFhYXzyySc6bby9vUlKSiI0NJRmzZphY2ND/fr1CQoKIjg4mMWLF9OiRQvu379PaGgoTZs2pU+fPkycOJEOHTrw4Ycf0q9fP3755ZcCb4vlCAgI4PDhw8VetNDHx4evvvqKX375hdq1a/P1119z8uRJateurW3zyiuvMH/+fOrVq0eDBg1YuXIlcXFxj1U6w8fHh6ioKDZv3kybNm3YvXs327Zt0/v4IUOGMHXqVNasWcNXX32l1zGrVq3Cx8eHhg0bsnTpUuLi4rQTrPXph/zk93147NgxLC0tdW7JCVEU8tSYEZmbmGNpapnn69qja7jZuBk7RFHO7dmzh2rVqum8OnbsCICTkxNr1qyhQ4cONG3alH379vHjjz9q59u88847REZGUrdu3WK9/dCsWTOWLFnCwoULadKkCRs2bGD+/Pk6bdq3b8/YsWMZOHAgVatW5YMPPgBg3bp1BAcHM2XKFHx9fenfvz8nT57Ey8sLgCeeeII1a9awfPlymjVrxq+//srMmTMLjWnUqFH89NNPxMfHF9vXCfDyyy/z3HPPMXDgQNq1a0dsbKzOqAhkP+Y+ePBggoOD8ff3x87OjoCAAL3mLOWnb9++vPrqq4SEhNC8eXOOHDnCrFmz9D7e0dGR559/Hjs7O72ray9YsIAFCxbQrFkzDh8+zM6dO7VJiz79kJ/8vg83bdpEUFBQvrdShdCXSlEUxdhBlGUJCQk4OjoSHx+fa6KhqPjS0tK4efOmts6KqLgGDBhAy5YtmTFjhlHj0Gg0NGzYkBdeeMGo1aS7detG48aNWbFiRYHtIiMjqV27NmfOnHms23mGePDgAb6+vpw6dSrfUSX52RX6fn7LiJAQQgCLFi16rEnXRXXr1i3WrFnD1atXuXDhAuPGjePmzZsMGTKk1GMBiIuLY9u2bRw4cIAJEyYYJYbCREZGsnr1ar1urQlRGJkjJIQQZM9FeeWVV0r9uiYmJqxfv56pU6eiKApNmjRh3759NGzYsNRjgexJ6XFxcSxcuBBfX1+jxFCY1q1b61UAUwh9SCIkhBBGVLNmTcLCwowdhlZkZKRB7b29vZEZFqI8k1tjQgghhKi0JBESQgghRKUliZAQepChfyHKF/mZFfqSREiIAuQsYyDrGQlRvuT8zBqyXIyonGSytBAFMDU1xcnJSbuYpY2NzWNV/BVClCxFUUhJSSEmJgYnJ6dc69IJ8V+SCAlRCA8PD0B3RXEhRNnm5OSk/dkVoiCSCAlRCJVKRbVq1XBzcyMzM9PY4QghCmFubi4jQUJvkggJoSdTU1P55SqEEBWMTJYWQgghRKUliZAQQgghKi1JhIQQQghRackcoULkFOVKSEgwciRCCCGE0FfO53ZhxTUlESpEYmIikL0wohBCCCHKl8TERBwdHfPdr1KkDnmBNBoNd+7cwd7evlgL6SUkJFCzZk3++usvHBwciu28FYH0Tf6kb/InfZM/6Zv8Sd/kr7z3jaIoJCYm4unpiYlJ/jOBZESoECYmJtSoUaPEzu/g4FAuv8FKg/RN/qRv8id9kz/pm/xJ3+SvPPdNQSNBOWSytBBCCCEqLUmEhBBCCFFpSSJkJJaWlsyZMwdLS0tjh1LmSN/kT/omf9I3+ZO+yZ/0Tf4qS9/IZGkhhBBCVFoyIiSEEEKISksSISGEEEJUWpIICSGEEKLSkkRICCGEEJWWJEJGsmrVKry9vbGysqJdu3acOHHC2CGVuvnz59OmTRvs7e1xc3Ojf//+RERE6LRJS0tjwoQJuLi4YGdnx/PPP8+9e/eMFLFxLFiwAJVKxeTJk7XbKnu/3L59mxdffBEXFxesra3x8/Pj1KlT2v2KojB79myqVauGtbU13bt359q1a0aMuHSo1WpmzZpF7dq1sba2pm7durz77rs6ay1Vlr75/fffCQwMxNPTE5VKxfbt23X269MPDx8+JCgoCAcHB5ycnBg1ahRJSUml+FWUjIL6JjMzk+nTp+Pn54etrS2enp4EBwdz584dnXNUpL6RRMgIvv32W1577TXmzJnD6dOnadasGQEBAcTExBg7tFJ18OBBJkyYwLFjx9i7dy+ZmZn07NmT5ORkbZtXX32VH3/8ke+++46DBw9y584dnnvuOSNGXbpOnjzJp59+StOmTXW2V+Z+iYuLo0OHDpibm/Pzzz9z6dIlFi9eTJUqVbRtPvjgA1asWMEnn3zC8ePHsbW1JSAggLS0NCNGXvIWLlzIxx9/zEcffcTly5dZuHAhH3zwAStXrtS2qSx9k5ycTLNmzVi1alWe+/Xph6CgIP744w/27t3Lrl27+P333xkzZkxpfQklpqC+SUlJ4fTp08yaNYvTp0+zdetWIiIi6Nu3r067CtU3iih1bdu2VSZMmKB9r1arFU9PT2X+/PlGjMr4YmJiFEA5ePCgoiiK8ujRI8Xc3Fz57rvvtG0uX76sAMrRo0eNFWapSUxMVHx8fJS9e/cqTz75pDJp0iRFUaRfpk+frnTs2DHf/RqNRvHw8FAWLVqk3fbo0SPF0tJS2bRpU2mEaDR9+vRRRo4cqbPtueeeU4KCghRFqbx9Ayjbtm3TvtenHy5duqQAysmTJ7Vtfv75Z0WlUim3b98utdhL2n/7Ji8nTpxQAOXWrVuKolS8vpERoVKWkZFBeHg43bt3124zMTGhe/fuHD161IiRGV98fDwAzs7OAISHh5OZmanTVw0aNMDLy6tS9NWECRPo06ePztcP0i87d+6kdevWDBgwADc3N1q0aMGaNWu0+2/evEl0dLRO/zg6OtKuXbsK3z/t27cnNDSUq1evAnDu3DkOHz7M008/DVTuvvk3ffrh6NGjODk50bp1a22b7t27Y2JiwvHjx0s9ZmOKj49HpVLh5OQEVLy+kUVXS9mDBw9Qq9W4u7vrbHd3d+fKlStGisr4NBoNkydPpkOHDjRp0gSA6OhoLCwstD98Odzd3YmOjjZClKVn8+bNnD59mpMnT+baV5n7BeDPP//k448/5rXXXuPNN9/k5MmTTJw4EQsLC4YNG6btg7x+xip6/7zxxhskJCTQoEEDTE1NUavVzJs3j6CgIIBK3Tf/pk8/REdH4+bmprPfzMwMZ2fnStVXaWlpTJ8+ncGDB2sXXq1ofSOJkCgTJkyYwMWLFzl8+LCxQzG6v/76i0mTJrF3716srKyMHU6Zo9FoaN26Ne+//z4ALVq04OLFi3zyyScMGzbMyNEZ15YtW9iwYQMbN26kcePGnD17lsmTJ+Pp6Vnp+0YYLjMzkxdeeAFFUfj444+NHU6JkVtjpczV1RVTU9NcT/jcu3cPDw8PI0VlXCEhIezatYvffvuNGjVqaLd7eHiQkZHBo0ePdNpX9L4KDw8nJiaGli1bYmZmhpmZGQcPHmTFihWYmZnh7u5eKfslR7Vq1WjUqJHOtoYNGxIVFQWg7YPK+DM2bdo03njjDQYNGoSfnx9Dhw7l1VdfZf78+UDl7pt/06cfPDw8cj3AkpWVxcOHDytFX+UkQbdu3WLv3r3a0SCoeH0jiVAps7CwoFWrVoSGhmq3aTQaQkND8ff3N2JkpU9RFEJCQti2bRv79++ndu3aOvtbtWqFubm5Tl9FREQQFRVVofuqW7duXLhwgbNnz2pfrVu3JigoSPvvytgvOTp06JCrzMLVq1epVasWALVr18bDw0OnfxISEjh+/HiF75+UlBRMTHR/rZuamqLRaIDK3Tf/pk8/+Pv78+jRI8LDw7Vt9u/fj0ajoV27dqUec2nKSYKuXbvGvn37cHFx0dlf4frG2LO1K6PNmzcrlpaWyvr165VLly4pY8aMUZycnJTo6Ghjh1aqxo0bpzg6OioHDhxQ7t69q32lpKRo24wdO1bx8vJS9u/fr5w6dUrx9/dX/P39jRi1cfz7qTFFqdz9cuLECcXMzEyZN2+ecu3aNWXDhg2KjY2N8s0332jbLFiwQHFyclJ27NihnD9/XunXr59Su3ZtJTU11YiRl7xhw4Yp1atXV3bt2qXcvHlT2bp1q+Lq6qq8/vrr2jaVpW8SExOVM2fOKGfOnFEAZcmSJcqZM2e0Tz7p0w+9evVSWrRooRw/flw5fPiw4uPjowwePNhYX1KxKahvMjIylL59+yo1atRQzp49q/O7OT09XXuOitQ3kggZycqVKxUvLy/FwsJCadu2rXLs2DFjh1TqgDxf69at07ZJTU1Vxo8fr1SpUkWxsbFRnn32WeXu3bvGC9pI/psIVfZ++fHHH5UmTZoolpaWSoMGDZTPPvtMZ79Go1FmzZqluLu7K5aWlkq3bt2UiIgII0VbehISEpRJkyYpXl5eipWVlVKnTh3lrbfe0vkAqyx989tvv+X5+2XYsGGKoujXD7GxscrgwYMVOzs7xcHBQRkxYoSSmJhohK+meBXUNzdv3sz3d/Nvv/2mPUdF6huVovyr5KgQQgghRCUic4SEEEIIUWlJIiSEEEKISksSISGEEEJUWpIICSGEEKLSkkRICCGEEJWWJEJCCCGEqLQkERJCCCFEpSWJkBCixB04cACVSpVrfTRj8vb2ZtmyZcV+3vXr1+Pk5PTY5+nSpQuTJ09+7PMIIQomiZAQokD3799n3LhxeHl5YWlpiYeHBwEBAYSFhRk7tMdy8uRJxowZU+znHThwIFevXi328wohSoaZsQMQQpRtzz//PBkZGXz55ZfUqVOHe/fuERoaSmxsrLFDK1RmZibm5uY62zIyMrCwsKBq1aqPde6c8/yXtbU11tbWj3VuIUTpkREhIUS+Hj16xKFDh1i4cCFdu3alVq1atG3blhkzZtC3b18AIiMjUalUnD17Vuc4lUrFgQMHdM4XFhZG06ZNsbKy4oknnuDixYu59nfp0gUbGxuqVKlCQEAAcXFxAOzZs4eOHTvi5OSEi4sLzzzzDDdu3NAemxPHt99+y5NPPomVlRUbNmxg+PDh9O/fn3nz5uHp6Ymvry+Q+9bYo0ePeOmll6hatSoODg489dRTnDt3Trt/7ty5NG/enM8//5zatWtjZWWVZ5/999ZYznFff/013t7eODo6MmjQIBITE7VtkpOTCQ4Oxs7OjmrVqrF48eJc501PT2fq1KlUr14dW1tb2rVrp+3ftLQ0GjdurDPCdePGDezt7fniiy/yjFMIkU0SISFEvuzs7LCzs2P79u2kp6c/9vmmTZvG4sWLOXnyJFWrViUwMJDMzEwAzp49S7du3WjUqBFHjx7l8OHDBAYGolargexk4bXXXuPUqVOEhoZiYmLCs88+i0aj0bnGG2+8waRJk7h8+TIBAQEAhIaGEhERwd69e9m1a1eesQ0YMICYmBh+/vlnwsPDadmyJd26dePhw4faNtevX+eHH35g69atOolfYW7cuMH27dvZtWsXu3bt4uDBgyxYsECnXw4ePMiOHTv49ddfOXDgAKdPn9Y5R0hICEePHmXz5s2cP3+eAQMG0KtXL65du6ZN+r788kt27NiBWq3mxRdfpEePHowcOVLvOIWolIy96qsQomz7/vvvlSpVqihWVlZK+/btlRkzZijnzp3T7s9ZrfrMmTPabXFxcTqrVeesdr1582Ztm9jYWMXa2lr59ttvFUVRlMGDBysdOnTQO6779+8rgHLhwgWdOJYtW6bTbtiwYYq7u7vOCuyKoii1atVSli5dqiiKohw6dEhxcHBQ0tLSdNrUrVtX+fTTTxVFUZQ5c+Yo5ubmSkxMTIFxrVu3TnF0dNS+nzNnjmJjY6MkJCRot02bNk1p166doiiKkpiYqFhYWChbtmzR7s/pm0mTJimKoii3bt1STE1Nldu3b+tcq1u3bsqMGTO07z/44APF1dVVCQkJUapVq6Y8ePCgwFiFEIoiI0JCiAI9//zz3Llzh507d9KrVy8OHDhAy5YtWb9+vcHn8vf31/7b2dkZX19fLl++DPwzIpSfa9euMXjwYOrUqYODgwPe3t4AREVF6bRr3bp1rmP9/PzynM+T49y5cyQlJeHi4qIdBbOzs+PmzZs6t99q1apVpLlF3t7e2Nvba99Xq1aNmJgYIHu0KCMjg3bt2mn35/RNjgsXLqBWq6lfv75OfAcPHtSJb8qUKdSvX5+PPvqIL774AhcXF4NjFaKykcnSQohCWVlZ0aNHD3r06MGsWbN46aWXmDNnDsOHD8fEJPvvKUVRtO1zbncZorAJxoGBgdSqVYs1a9bg6emJRqOhSZMmZGRk6LSztbXNdWxe2/4tKSmJatWq5ZrTBOjM9ynsPPn574RtlUqV65ZeYfGZmpoSHh6Oqampzj47Ozvtv2NiYrh69SqmpqZcu3aNXr16FSleISoTGRESQhisUaNGJCcnA2hHSO7evavdn9/8mWPHjmn/HRcXx9WrV2nYsCEATZs2JTQ0NM/jYmNjiYiIYObMmXTr1o2GDRtqJ1EXh5YtWxIdHY2ZmRn16tXTebm6uhbbdfJSt25dzM3NOX78uHZbTt/kaNGiBWq1mpiYmFzxeXh4aNuNHDkSPz8/vvzyS6ZPn64dbRNC5E9GhIQQ+YqNjWXAgAGMHDmSpk2bYm9vz6lTp/jggw/o168fkD2S88QTT7BgwQJq165NTEwMM2fOzPN877zzDi4uLri7u/PWW2/h6upK//79AZgxYwZ+fn6MHz+esWPHYmFhwW+//caAAQNwdnbGxcWFzz77jGrVqhEVFcUbb7xRbF9n9+7d8ff3p3///nzwwQfUr1+fO3fusHv3bp599tk8b7cVFzs7O0aNGsW0adNwcXHBzc2Nt956SzvSBlC/fn2CgoIIDg5m8eLFtGjRgvv37xMaGkrTpk3p06cPq1at4ujRo5w/f56aNWuye/dugoKCOHbsWIG3BYWo7GRESAiRLzs7O9q1a8fSpUvp3LkzTZo0YdasWYwePZqPPvpI2+6LL74gKyuLVq1aMXnyZN577708z7dgwQImTZpEq1atiI6O5scff9R+SNevX59ff/2Vc+fO0bZtW/z9/dmxYwdmZmaYmJiwefNmwsPDadKkCa+++iqLFi0qtq9TpVLx008/0blzZ0aMGEH9+vUZNGgQt27dwt3dvdiuk59FixbRqVMnAgMD6d69Ox07dqRVq1Y6bdatW0dwcDBTpkzB19eX/v37c/LkSby8vLhy5QrTpk1j9erV1KxZE4DVq1fz4MEDZs2aVeLxC1GeqZR/39gXQgghhKhEZERICCGEEJWWJEJCCCGEqLQkERJCCCFEpSWJkBBCCCEqLUmEhBBCCFFpSSIkhBBCiEpLEiEhhBBCVFqSCAkhhBCi0pJESAghhBCVliRCQgghhKi0JBESQgghRKUliZAQQgghKq3/B+NOWxmS4v/2AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "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 cummulative\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": "2026-02-13T16:57:46.525619Z",
     "iopub.status.busy": "2026-02-13T16:57:46.525478Z",
     "iopub.status.idle": "2026-02-13T16:57:48.581335Z",
     "shell.execute_reply": "2026-02-13T16:57:48.580252Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "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 and UMa models\n",
    "are better conditioned than the RMa model. This makes \n",
    "them 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": "2026-02-13T16:57:48.583678Z",
     "iopub.status.busy": "2026-02-13T16:57:48.583543Z",
     "iopub.status.idle": "2026-02-13T16:57:48.802740Z",
     "shell.execute_reply": "2026-02-13T16:57:48.801747Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "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": "2026-02-13T16:57:48.805130Z",
     "iopub.status.busy": "2026-02-13T16:57:48.804993Z",
     "iopub.status.idle": "2026-02-13T16:57:48.813590Z",
     "shell.execute_reply": "2026-02-13T16:57:48.812665Z"
    }
   },
   "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": "2026-02-13T16:57:48.815608Z",
     "iopub.status.busy": "2026-02-13T16:57:48.815484Z",
     "iopub.status.idle": "2026-02-13T17:12:18.028820Z",
     "shell.execute_reply": "2026-02-13T17:12:18.027734Z"
    }
   },
   "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 | 3.1979e-02 | 3.1864e-01 |      176047 |     5505024 |         1142 |        3584 |        54.7 |reached target block errors\n",
      "     -3.0 | 2.2778e-03 | 2.5090e-02 |      139722 |    61341696 |         1002 |       39936 |         2.6 |reached target block errors\n",
      "     -1.0 | 2.4024e-04 | 2.5457e-03 |      145103 |   603979776 |         1001 |      393216 |        25.9 |reached target block errors\n",
      "      1.0 | 3.6419e-05 | 3.6328e-04 |       28641 |   786432000 |          186 |      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 | 2.8736e-01 | 1.0000e+00 |      451984 |     1572864 |         1024 |        1024 |        33.9 |reached target block errors\n",
      "     -3.0 | 2.0933e-01 | 9.9609e-01 |      329244 |     1572864 |         1020 |        1024 |         0.1 |reached target block errors\n",
      "     -1.0 | 6.0222e-02 | 4.1953e-01 |      236801 |     3932160 |         1074 |        2560 |         0.2 |reached target block errors\n",
      "      1.0 | 9.5652e-03 | 6.9841e-02 |      218150 |    22806528 |         1037 |       14848 |         1.0 |reached target block errors\n",
      "      3.0 | 1.8971e-03 | 1.2362e-02 |      235723 |   124256256 |         1000 |       80896 |         5.4 |reached target block errors\n",
      "      5.0 | 6.8179e-04 | 3.6575e-03 |      286323 |   419954688 |         1000 |      273408 |        18.1 |reached target block errors\n",
      "      7.0 | 3.9407e-04 | 1.8574e-03 |      309912 |   786432000 |          951 |      512000 |        34.1 |reached max iterations\n",
      "      9.0 | 3.3385e-04 | 1.6504e-03 |      262554 |   786432000 |          845 |      512000 |        34.9 |reached max iterations\n",
      "     11.0 | 3.0304e-04 | 1.7617e-03 |      238324 |   786432000 |          902 |      512000 |        35.2 |reached max iterations\n",
      "     13.0 | 3.4197e-04 | 2.0032e-03 |      262210 |   766771200 |         1000 |      499200 |        33.6 |reached target block errors\n",
      "     15.0 | 3.1329e-04 | 2.0409e-03 |      235785 |   752615424 |         1000 |      489984 |        32.9 |reached target block errors\n",
      "EbNo [dB] |        BER |       BLER |  bit errors |    num bits | block errors |  num blocks | runtime [s] |    status\n",
      "---------------------------------------------------------------------------------------------------------------------------------------\n",
      "     -5.0 | 3.1197e-02 | 3.3659e-01 |      147208 |     4718592 |         1034 |        3072 |        61.6 |reached target block errors\n",
      "     -3.0 | 2.0225e-03 | 2.2983e-02 |      136788 |    67633152 |         1012 |       44032 |         3.0 |reached target block errors\n",
      "     -1.0 | 1.5471e-04 | 1.7617e-03 |      121666 |   786432000 |          902 |      512000 |        34.5 |reached max iterations\n",
      "      1.0 | 1.8164e-05 | 1.9531e-04 |       14285 |   786432000 |          100 |      512000 |        34.7 |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 | 2.8881e-01 | 1.0000e+00 |      454251 |     1572864 |         1024 |        1024 |        30.1 |reached target block errors\n",
      "     -3.0 | 2.0750e-01 | 9.9609e-01 |      326366 |     1572864 |         1020 |        1024 |         0.1 |reached target block errors\n",
      "     -1.0 | 6.3845e-02 | 4.4531e-01 |      251047 |     3932160 |         1140 |        2560 |         0.2 |reached target block errors\n",
      "      1.0 | 1.0688e-02 | 7.5871e-02 |      218541 |    20447232 |         1010 |       13312 |         0.9 |reached target block errors\n",
      "      3.0 | 2.4910e-03 | 1.4490e-02 |      266423 |   106954752 |         1009 |       69632 |         4.7 |reached target block errors\n",
      "      5.0 | 1.2455e-03 | 6.0967e-03 |      314431 |   252444672 |         1002 |      164352 |        11.1 |reached target block errors\n",
      "      7.0 | 8.7701e-04 | 3.8563e-03 |      350374 |   399507456 |         1003 |      260096 |        17.7 |reached target block errors\n",
      "      9.0 | 7.7471e-04 | 3.5742e-03 |      333264 |   430178304 |         1001 |      280064 |        19.1 |reached target block errors\n",
      "     11.0 | 7.3067e-04 | 3.8907e-03 |      288462 |   394788864 |         1000 |      257024 |        17.6 |reached target block errors\n",
      "     13.0 | 7.5148e-04 | 4.2552e-03 |      271265 |   360972288 |         1000 |      235008 |        16.2 |reached target block errors\n",
      "     15.0 | 8.0439e-04 | 5.0024e-03 |      247977 |   308281344 |         1004 |      200704 |        13.9 |reached target block errors\n",
      "EbNo [dB] |        BER |       BLER |  bit errors |    num bits | block errors |  num blocks | runtime [s] |    status\n",
      "---------------------------------------------------------------------------------------------------------------------------------------\n",
      "     -5.0 | 4.2117e-02 | 3.2031e-01 |      231857 |     5505024 |         1148 |        3584 |        65.0 |reached target block errors\n",
      "     -3.0 | 9.9863e-03 | 8.0703e-02 |      196338 |    19660800 |         1033 |       12800 |         0.8 |reached target block errors\n",
      "     -1.0 | 2.1201e-03 | 1.8962e-02 |      171736 |    81002496 |         1000 |       52736 |         3.2 |reached target block errors\n",
      "      1.0 | 6.1866e-04 | 5.4459e-03 |      174666 |   282329088 |         1001 |      183808 |        11.1 |reached target block errors\n",
      "      3.0 | 1.4676e-04 | 1.3418e-03 |      115419 |   786432000 |          687 |      512000 |        31.0 |reached max iterations\n",
      "      5.0 | 4.4501e-05 | 4.3945e-04 |       34997 |   786432000 |          225 |      512000 |        31.3 |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 | 2.8055e-01 | 1.0000e+00 |      441263 |     1572864 |         1024 |        1024 |        32.3 |reached target block errors\n",
      "     -3.0 | 1.8117e-01 | 9.6680e-01 |      427425 |     2359296 |         1485 |        1536 |         0.1 |reached target block errors\n",
      "     -1.0 | 6.3886e-02 | 3.7467e-01 |      301452 |     4718592 |         1151 |        3072 |         0.2 |reached target block errors\n",
      "      1.0 | 2.0033e-02 | 1.2029e-01 |      267831 |    13369344 |         1047 |        8704 |         0.5 |reached target block errors\n",
      "      3.0 | 6.7816e-03 | 3.9844e-02 |      266665 |    39321600 |         1020 |       25600 |         1.6 |reached target block errors\n",
      "      5.0 | 2.3972e-03 | 1.4924e-02 |      246967 |   103022592 |         1001 |       67072 |         4.1 |reached target block errors\n",
      "      7.0 | 8.6017e-04 | 5.1604e-03 |      257056 |   298844160 |         1004 |      194560 |        11.9 |reached target block errors\n",
      "      9.0 | 2.9123e-04 | 1.7402e-03 |      229035 |   786432000 |          891 |      512000 |        31.3 |reached max iterations\n",
      "     11.0 | 1.1918e-04 | 7.4609e-04 |       93726 |   786432000 |          382 |      512000 |        31.8 |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",
    "                            )\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": "2026-02-13T17:12:18.031041Z",
     "iopub.status.busy": "2026-02-13T17:12:18.030741Z",
     "iopub.status.idle": "2026-02-13T17:12:18.283465Z",
     "shell.execute_reply": "2026-02-13T17:12:18.282487Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "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",
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   "source": [
    "Due to the worse channel conditioning, 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 performace 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."
   ]
  }
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