{ "cells": [ { "cell_type": "markdown", "id": "f543de9b-3858-45dd-bddf-cddddcc60da3", "metadata": {}, "source": [ "# Part 3: Advanced Link-level Simulations" ] }, { "cell_type": "markdown", "id": "c55670f1-3ee6-481d-9661-d59e61074818", "metadata": {}, "source": [ "This tutorial will guide you through Sionna, from its basic principles to the implementation of a point-to-point link with a 5G NR compliant code and a 3GPP channel model.\n", "You will also learn how to write custom trainable blocks by implementing a state of the art neural receiver, and how to train and evaluate end-to-end communication systems.\n", "\n", "The tutorial is structured in four notebooks:\n", "\n", "- Part I: Getting started with Sionna\n", "\n", "- Part II: Differentiable Communication Systems\n", "\n", "- **Part III: Advanced Link-level Simulations**\n", "\n", "- Part IV: Toward Learned Receivers\n" ] }, { "cell_type": "markdown", "id": "7f2a6b68", "metadata": {}, "source": [ "The [official documentation](https://nvlabs.github.io/sionna/index.html) provides key material on how to use Sionna and how its components are implemented." ] }, { "cell_type": "markdown", "id": "d7c4211f-beee-4142-9289-c385d0180877", "metadata": {}, "source": [ "* [Imports](#Imports)\n", "* [OFDM Resource Grid and Stream Management](#OFDM-Resource-Grid-and-Stream-Management)\n", "* [Antenna Arrays](#Antenna-Arrays)\n", "* [Channel Model](#Channel-Model)\n", "* [Uplink Transmission in the Frequency Domain](#Uplink-Transmission-in-the-Frequency-Domain)" ] }, { "cell_type": "markdown", "id": "74a184ac-1f64-407f-9a24-c53d40799be2", "metadata": {}, "source": [ "## Imports" ] }, { "cell_type": "code", "execution_count": 1, "id": "d84bd69e-59f2-4a42-8dd3-730c8c1d821e", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T14:10:08.742195Z", "iopub.status.busy": "2026-02-13T14:10:08.741992Z", "iopub.status.idle": "2026-02-13T14:10:11.596532Z", "shell.execute_reply": "2026-02-13T14:10:11.595572Z" } }, "outputs": [], "source": [ "# Import Sionna\n", "try:\n", " import sionna as sn\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", "import torch\n", "import numpy as np\n", "\n", "# For plotting\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "\n", "# Set seed for reproducible results\n", "sn.phy.config.seed = 42" ] }, { "cell_type": "markdown", "id": "e1d95619-758f-434f-a009-4d66970544d5", "metadata": {}, "source": [ "## OFDM Resource Grid and Stream Management" ] }, { "cell_type": "markdown", "id": "78ef934e-47c5-41bb-87e0-ad8332ccf8a6", "metadata": {}, "source": [ "We will setup a realistic SIMO point-to-point link between a mobile user terminal (UT) and a base station (BS). The system we will setup is shown in the figure below." ] }, { "cell_type": "markdown", "id": "a22bc456-64ad-4f9e-9a3a-bb256da1da4a", "metadata": {}, "source": [ "![SIMO](data:image/png;base64,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)" ] }, { "cell_type": "markdown", "id": "8c14cb8b-74b2-41a3-93a5-067059a68d2e", "metadata": {}, "source": [ "### Stream Management\n", "\n", "For any type of MIMO simulations, it is required to setup a `StreamManagement` object.\n", "It determines which transmitters and receivers communicate data streams with each other.\n", "In our scenario, we will configure a single UT equipped with a single antenna and a single BS equipped with multiple antennas.\n", "Whether the UT or BS is considered as a transmitter depends on the link direction, which can be\n", "either uplink or downlink. The `StreamManagement` has many properties that are used by other components,\n", "such as precoding and equalization.\n", "\n", "We will configure the system here such that the number of streams per transmitter\n", "is equal to the number of UT antennas." ] }, { "cell_type": "code", "execution_count": 2, "id": "964105d5-eaa0-4f4c-94b8-82eff73c73e0", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T14:10:11.598603Z", "iopub.status.busy": "2026-02-13T14:10:11.598324Z", "iopub.status.idle": "2026-02-13T14:10:11.601799Z", "shell.execute_reply": "2026-02-13T14:10:11.601160Z" } }, "outputs": [], "source": [ "# Define the number of UT and BS antennas\n", "NUM_UT = 1\n", "NUM_BS = 1\n", "NUM_UT_ANT = 1\n", "NUM_BS_ANT = 4\n", "\n", "# The number of transmitted streams is equal to the number of UT antennas\n", "# in both uplink and downlink\n", "NUM_STREAMS_PER_TX = NUM_UT_ANT\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", "# For example, considering a system with 2 RX and 4 TX, the RX-TX\n", "# association matrix could be\n", "# [ [1 , 1, 0, 0],\n", "# [0 , 0, 1, 1] ]\n", "# which indicates that the RX 0 receives from TX 0 and 1, and RX 1 receives from\n", "# TX 2 and 3.\n", "#\n", "# In this notebook, as we have only a single transmitter and receiver,\n", "# the RX-TX association matrix is simply:\n", "RX_TX_ASSOCIATION = np.array([[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 straightforward. However,\n", "# in setups with multiple transmitters and receivers, the stream management\n", "# is more involved.\n", "STREAM_MANAGEMENT = sn.phy.mimo.StreamManagement(RX_TX_ASSOCIATION, NUM_STREAMS_PER_TX)" ] }, { "cell_type": "markdown", "id": "3c71b3bc-d9dd-4ef0-a13b-d04b09b66ac9", "metadata": {}, "source": [ "### Resource Grid\n", "\n", "We will also configure a `ResourceGrid` object. It is used to allocate data symbols and pilot symbols on the resource grid. In this notebook, we use a `kronecker` pilot pattern, as described in the [OFDM-MIMO Detection](https://nvlabs.github.io/sionna/phy/tutorials/notebooks/OFDM_MIMO_Detection.html) tutorial.\n", "\n", "Please have a look at the [API documentation](https://nvlabs.github.io/sionna/phy/api/ofdm/index.html) for all parameters." ] }, { "cell_type": "code", "execution_count": 3, "id": "6a7a90ac-5e6a-4c9a-97f6-d3ad02f9f39b", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T14:10:11.603442Z", "iopub.status.busy": "2026-02-13T14:10:11.603324Z", "iopub.status.idle": "2026-02-13T14:10:11.837413Z", "shell.execute_reply": "2026-02-13T14:10:11.836328Z" } }, "outputs": [], "source": [ "RESOURCE_GRID = sn.phy.ofdm.ResourceGrid(num_ofdm_symbols=14,\n", " fft_size=76,\n", " subcarrier_spacing=30e3,\n", " num_tx=NUM_UT,\n", " num_streams_per_tx=NUM_STREAMS_PER_TX,\n", " cyclic_prefix_length=6,\n", " pilot_pattern=\"kronecker\",\n", " pilot_ofdm_symbol_indices=[2, 11])" ] }, { "cell_type": "code", "execution_count": 4, "id": "f7a8edae-1b8e-4cf3-8db9-e93b3a96e46d", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T14:10:11.839218Z", "iopub.status.busy": "2026-02-13T14:10:11.839079Z", "iopub.status.idle": "2026-02-13T14:10:12.046528Z", "shell.execute_reply": "2026-02-13T14:10:12.045634Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "RESOURCE_GRID.pilot_pattern.show();" ] }, { "cell_type": "markdown", "id": "bba7bfa7-3ed1-4f6e-95f2-03b4c8d8b6f2", "metadata": {}, "source": [ "## Antenna Arrays" ] }, { "cell_type": "markdown", "id": "1a0f5dfa-bbd2-4b08-9a9a-1e6f1efbac05", "metadata": {}, "source": [ "We use the `Antenna` and `AntennaArray` classes from the 3GPP TR38.901 channel model to configure our antenna elements and arrays.\n", "The `Antenna` class consists of a single antenna element, whereas the `AntennaArray` class consists of multiple antenna elements.\n", "\n", "Please have a look at the [API documentation](https://nvlabs.github.io/sionna/phy/api/channel/wireless/sionna.phy.channel.tr38901.Antenna.html) for more information." ] }, { "cell_type": "code", "execution_count": 5, "id": "6b394e35-e530-4d61-9f77-a389f1a7c73d", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T14:10:12.048480Z", "iopub.status.busy": "2026-02-13T14:10:12.048342Z", "iopub.status.idle": "2026-02-13T14:10:12.125735Z", "shell.execute_reply": "2026-02-13T14:10:12.124801Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "CARRIER_FREQUENCY = 2.6e9 # Carrier frequency in Hz.\n", " # This is needed here to define the antenna element spacing.\n", "\n", "UT_ARRAY = sn.phy.channel.tr38901.Antenna(polarization=\"single\",\n", " polarization_type=\"V\",\n", " antenna_pattern=\"38.901\",\n", " carrier_frequency=CARRIER_FREQUENCY)\n", "UT_ARRAY.show();\n", "\n", "BS_ARRAY = sn.phy.channel.tr38901.AntennaArray(num_rows=1,\n", " num_cols=int(NUM_BS_ANT/2),\n", " polarization=\"dual\",\n", " polarization_type=\"cross\",\n", " antenna_pattern=\"38.901\",\n", " carrier_frequency=CARRIER_FREQUENCY)" ] }, { "cell_type": "code", "execution_count": 6, "id": "8f8912c3-7c8f-4b17-8d7a-df0b50c20314", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T14:10:12.127433Z", "iopub.status.busy": "2026-02-13T14:10:12.127301Z", "iopub.status.idle": "2026-02-13T14:10:12.845643Z", "shell.execute_reply": "2026-02-13T14:10:12.844871Z" } }, "outputs": [ { "data": { "image/png": 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", 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8//77iIyMHBJwMNa4R4LqY2cJu3fvRnp6OlJSUnDXXXchJiYGXV1dOH/+PI4cOWK2G+pSzP3+/vGPf+DAgQNYsmQJ7rvvPuh0OrzzzjuYPXu2yV01URuT4fsai9raWlx11VVYu3YtsrKysHfvXvz5z39GQkKCzfZztNfs9f1bQnh4OGJjY3HkyJEhLlEfHx9cc801+Ne//gUejwehUIi33noLAQEBphuHkbDFmmJRUdEwAZRIJODxeJDJZBCJRKitrUVpaSnef//9Ie975JFHsG/fPmzcuBFdXV0jXk8Hk5ubi66uLlx99dUTGrNVUB3uag7WJu+vWbOGuLq6Eh6PR5YvX04yMzOHvGesUl+XhqGPF8Jsid2xbI8U/v7CCy+QgIAAwmQyh7zW3d1Ntm3bRry8vIirqytZs2YNKSsrIyEhIWTr1q1jbnM06uvrya233kq8vb1NieI7duwwJe8TQsihQ4dIbGws4XA4JCoqiuzdu3fERPLRxj0a5hw7S1IyxhqDJcefEELa2trIjh07SFBQEHFyciJisZisXLmSfPTRR2PaH+scM/f7I4SQEydOkKSkJMLhcCxK3rfExmjHaqzkfWt/Y+aek8bPl5SUkD/96U9EIBAQd3d3snPnziHJ+7bYz7FeM/f7H21/J3ocCCHkjTfeIK6ursPSGrq6usimTZsIn88nvr6+5P777ye9vb3jbm8iqNVqwmazyZNPPjnk+TvuuIM4OzuTTZs2EUIIeffdd4lQKCRarXbI+5YuXWrW9dTI448/ToKDgx1S5o1BiJUr3zQ0NDQ25rnnnsM//vEPSKVSU0L95UpPTw/Cw8Pxyiuv4I477nD0cMxi/fr1cHV1xX/+8x+rt6FWqxEaGoq//e1v+Mtf/mLD0ZnHpM5TpKGhoblcEQqFeOyxx/Dqq69SGjk8EZYtW4aHHnpoQtv4/PPP4eTkZFU+uS2gZ4o0NDSTBnqmSONo6JkiDQ0NDQ3NReiZIg0NDQ0NzUXomSINDQ0NDc1FaFGkoaGhoaG5CC2KNDQ0NDQ0F6FFkYaGhoaG5iK0KNLQUExfXx8efPBBhISEwMXFBQsXLsS5c+dMrxNC8Mwzz8DPzw8uLi5YtWrVsALhWVlZSExMRGhoKD799FOqd4GGZtpCiyINDcXceeedOHz4ML766isUFhZi9erVWLVqFZqbmwEAr7zyCt5++2188MEHyM7OBp/Px5o1a6BSqUzbuOOOO/D3v/8d33zzDV566SU0NjY6andoaKYVdEoGDQ2FKJVKCAQC/PLLL9iwYYPp+aSkJKxbtw4vvPAC/P398cgjj+Cvf/0rgIFyX76+vvjiiy9w0003AQBCQkJw/Phx+Pj4YNmyZfj3v/89biseGhqa8aFnijQ0FKLT6aDX68Hlcoc87+LiglOnTqG2thYSiWRIRwOhUIiUlBRkZWWZnnvmmWcQHR0NoVCIBQsW0IJIQ2MjaFGkoaEQgUCA1NRUvPDCC2hpaYFer8fevXuRlZWF1tZWSCQSAICvr++Qz/n6+ppeAwbcp52dnZBKpWO2DKKhobEMWhRpaCjmq6++AiEEAQEBcHZ2xttvv43NmzeDybTs58jn8+Hu7m6nUdLQXJ7QokhDQzERERE4ceIE+vv70djYiLNnz0Kr1SI8PNzU9bytrW3IZ9ra2kbtiE5DQ2M7aFGkoXEQfD4ffn5+6O7uxsGDB3H11VcjLCwMYrEYR48eNb2vt7cX2dnZSE1NdeBoaWguD+joUxoaijl48CAIIYiKikJVVRUeffRRcLlcZGRkwMnJCS+//DJ2796Nf//73wgLC8Pf//53FBQUoKSkZFiADg0NjW1hO3oANDSXGz09PXjiiSfQ1NQEDw8PXHfdddi1axecnJwAAI899hjkcjm2b98OmUyGxYsX48CBA7Qg0tBQAD1TpKGhoaGhuQi9pkhDQ0NDQ3MRWhRpaGhoaGguQosiDQ0NDQ3NRWhRpKGhoaGhuQgtijQ0NDQ0NBehRZGGhoaGhuYitCjS0NDQ0NBchBZFGhoaGhqai9CiSENDQ0NDcxFaFGloaGhoaC5CiyINDQ0NDc1FaFGkoaGhoaG5CC2KNDQ0NDQ0F6FbR9HQ2BGlUon29nb09vaiv78ffX19pn8H/18ul0Ov18NgMMBgMECn04HBYIDJZILFYpn+5fP5EAgEcHV1hUAgGPZ/gUAAHx8fuLi4OHrXaWimJHTrKBoaKyCEoLm5GdXV1WhpaUFra+uwR0tLC3p6esBkMkcVMuO/fD4fbDYbTCYTTCYTBoMB1dXVCA8PB4PBMAmlXC4fIqYjCazBYIBIJIKfn9+Qh7+/v+nfiIgI+Pv7g8FgOPpQ0tBMKmhRpKEZg+7ublRUVKCiogLl5eWm/1dWVkKpVCIoKAgBAQEmwblUgPz8/ODp6Qkm07KVCq1Wi99//x3r1683NR82B4PBgM7OzhGF2vhcc3MzGhsbwePxMHPmTERGRg57uLu7W3qoaGimBbQo0tBgYOZXU1OD3Nxc5Obm4vz588jLy0NHRwd8fX1HFI6IiAg4OzvbZTzWiqK5qFQq1NTUmER+8KOtrQ1eXl5ITExEUlKS6REWFkbPLGmmPbQo0lx2EEJQXV2NnJwcnD9/3iSCcrkccXFxJhGYM2cOoqKiIBQKKR+jvUVxLHp6elBWVoYLFy6YbhKKiorA5/Mxd+5c0/GZN2+eyb1LQzNdoEWRZtpDCEFlZSWOHz9uenR0dCA+Pn7ITCg2NtZuMz9LcaQojoRarUZRUZFJJHNzc1FQUABvb28sW7bM9JgxYwYtkjRTGloUaaYdhBBUVVUNE8HU1FTTxTslJWVSR2hONlEcCaVSiTNnzpiO8ZkzZ4aJZEREBC2SNFMKWhRppgUqlQrp6enYt28f9u/fj/b2dixYsADLli3D8uXLJ70IXspUEMVLMYpkenq6SSTFYjE2btyIjRs3Yvny5ZTPxPV6PbRaLaU2aQZwcnICi8Vy9DAshhZFmimLVCrFb7/9hn379uHQoUPw9PQ0XYDT0tKmlAheylQUxUtRKBQ4efIkfv31V/z666/o7u7GmjVrsHHjRmzYsAFeXl52s00IgUQigUwms5sNmvERiUQQi8VTyltAiyLNlKKqqgo//vgj9u3bh+zsbMydOxdXXXUVNm7ciPj4+Cn14xuL6SCKgyGEID8/H7/++iv27duHCxcuIDU1FRs3bsR1112HiIgIm9prbW2FTCaDj48PeDzetDkvpgqEECgUCrS3t5tyZqcKtCjSTHra29vx/fffY+/evcjLy8MVV1yBq6++GldeeeWU+rFZwnQTxUtpaWnB/v378csvv+DIkSOYO3cubr75Ztx4443w9vae0Lb1ej0qKirg4+MDT09PG42Yxho6OzvR3t6OyMjIKeNKpWuf0kxK5HI5vvnmG6xfvx4BAQH44YcfcMcdd6C1tRX79+/HXXfdNW0F8XLA398f27dvx2+//YbW1lbcdttt+P777xEQEIANGzbg22+/hUKhsGrbxjVEHo9nyyHTWIHxO5hK67q0KNJMGvR6PQ4ePIhbbrkFvr6+2LVrF9LS0lBVVYUTJ05g+/bt8PDwcPQwaWyMh4cH7r77bmRkZKCiogKLFi3CCy+8AB8fH9x66604dOgQ9Hq9xdulXaaOZyp+B7Qo0jic1tZW7Nq1C+Hh4di2bRvEYjFOnTqFoqIi/O1vf0NISIijh0hDEaGhoXjyySdRXFyMjIwMeHt7Y+vWrZgxYwZefPFFSCQSRw+RZppDiyKNQyCE4NixY/jTn/6EkJAQZGRk4K233kJ9fT1effVVJCYmTsm7TBrbwGAwMGfOHLz++utoaGjA66+/juPHjyMkJATXX389jh8/DjocgsYe0KJIQyn9/f14//33ERsbixtuuAEzZsxAWVkZDhw4gGuvvXZaBpXQTAwnJyds2rQJhw4dQnFxMcLCwnDdddchPj4eH374IeRyuaOHaDPef/99xMfHw83NDW5ubkhNTcUff/xhel0ikeCWW26BWCw2ld378ccfx9xmX18fHnzwQYSEhMDFxQULFy7EuXPnhryHEIJnnnkGfn5+cHFxwapVq1BZWTnkPbt27cLChQvB4/EgEolsts+TDVoUaSihpaUFjz76KAICAvDJJ5/g0UcfRWNjI3bv3o3w8HBHD49mijBjxgy88soraGpqwkMPPYQPPvgAAQEBeOyxx9Da2uro4U2YwMBA7N69G7m5ucjJycGKFStw9dVXo7i4GABw6623ory8HPv27UNhYSE2bdqEG264ARcuXBh1m3feeScOHz6Mr776CoWFhVi9ejVWrVqF5uZm03teeeUVvP322/jggw+QnZ0NPp+PNWvWQKVSmd6j0Whw/fXX495777XfAZgMEBoaO1JVVUW2b99OuFwuufrqq8np06eJwWBw9LAmPRqNhvz8889Eo9E4eiiTGoPBQDIyMsjGjRsJl8sl99xzD6moqCAlJSVEqVQ6eng2wd3dnXzyySeEEEL4fD758ssvh7zu4eFBPv744xE/q1AoCIvFIvv37x/y/Ny5c8lTTz1FCBk4hmKxmLz66qum12UyGXF2dibffvvtsG1+/vnnRCgUmjV2pVI55b4LeqZIYxfy8/OxefNmzJ49G0qlEjk5Ofj555+xcOFCeq2QxmYwGAwsXrwY+/btw9mzZ9HX14cNGzago6MDSqXS9D5CCBQanUMexMq1T71ej++++w5yuRypqakAgIULF+L7779HV1cXDAYDvvvuO6hUKixbtmzEbeh0Ouj1enC53CHPu7i44NSpUwCA2tpaSCQSrFq1yvS6UChESkoKsrKyrBr7VIbt6AHQTC9OnTqFl156Cenp6di2bRvKysoQGhrq6GHRXAbExcVh7969qKysRFtbG2pqauDm5gY/Pz8wOVzEPHPQIeMqeX4NeBzzL7WFhYVITU2FSqWCq6srfvrpJ8TExAAA/vOf/+DGG2+Ep6cn2Gw2eDwefvrpJ8yYMWPEbQkEAqSmpuKFF15AdHQ0fH198e233yIrK8v0GWNEr6+v75DP+vr6XpbRvvRMkcYmnDlzBsuXL8eGDRsQHx+P2tpa7NmzhxZEGsoJCgqCp6cnIiMj4eLigoqKClRWVI7/wUlCVFQU8vLykJ2djXvvvRdbt25FSUkJAODvf/87ZDIZjhw5gpycHDz88MO44YYbUFhYOOr2vvrqKxBCEBAQAGdnZ7z99tvYvHkzmEz68j8S9EyRZkKUlpbiySefxOHDh/HQQw/hp59+mtaRaTRTBycnJwQGBkIsFkMikeCbTb5wcxNejLDkjr8BG+HiZFl5Mw6HY5rFJSUl4dy5c/jXv/6Fxx57DO+++y6Kioowe/ZsAEBCQgIyMjKwZ88efPDBByNuLyIiAidOnIBcLkdvby/8/Pxw4403mgLcxGIxAKCtrW1Ilai2tjYkJiZaurtTHloUaayisbERzz33HL755hvcfvvtqKqqMv24aGgmE2w2G4GBgfDx8UFrayvqqsrh6ekJf39/cDgcRw9vXAwGA9Rqtans3aUzPBaLBYPBMO52+Hw++Hw+uru7cfDgQbzyyisAgLCwMIjFYhw9etQkgr29vaaZ6uUGLYo0FtHZ2Yndu3djz549uPrqq1FYWDjqegYNzWSCw+EgJCQEvr6+aG5uRlFREXx8fCAWi8FmT45L4RNPPIF169YhODgYfX19+Oabb3D8+HEcPHgQs2bNwowZM3D33Xfjtddeg6enJ37++WccPnwY+/fvN21j5cqVuPbaa7Fz504AwMGDB0EIQVRUFKqqqvDoo49i1qxZ2LZtG4CBYKUHH3wQ//znPzFz5kyEhYXh73//O/z9/XHNNdeYttvQ0ICuri40NDRAr9cjLy8PwECajKurK2XHyO44NviVZqqgVqvJyy+/TIRCIVm9ejXJzc119JCmNXRKhvWYmwbQ399PysvLyfnz50lrayvR6/UUjXB0br/9dhISEkI4HA7x9vYmK1euJIcOHTK9XlFRQTZt2kR8fHwIj8cj8fHxw1I0QkJCyLPPPmv6+/vvvyfh4eGEw+EQsVhMduzYQWQy2ZDPGAwG8ve//534+voSZ2dnsnLlSlJeXj7kPVu3biUAhj3S09NH3Z+pmJJBt46iGZdDhw7h/vvvh7OzM958802sXLnS0UOakhBCoNfrodPpRnwYDAZT+L5Op0NRURHi4uLAYrHAYDDAZDLBZrNHfBjfQwOoVCrU1tYiLCxsWCrCSPT29qKxsRGEEAQHB8PNzY2CUV4eWPpdTAYmh8+AZlLS0NCAhx9+GIcPH8bzzz+PHTt2TBo302SCEAKNRgO5XA6VSjXkoVarTf/XaDSmz4wkcEwmc5iwtba2gsFggBACg8EwopAa4XA44HK54HK5cHZ2Nv3f+ODz+eBwOLR4XoKbmxuio6MhlUpRVVUFoVCIoKCgKbHeSGN76CsczTDUajXeeOMN7Nq1C5s2bUJ5eTkdRIOB2Vt/fz/kcjn6+/tND7lcDq1WO0yIeDwePDw8TM87OzsPEcCxMDYZTk5OHrMe7GChNArwYCHu7e0dItBOTk7g8/lwdXU1PYx/X843PEwmE76+vnB3d0dTUxOKiorg7+8PHx8fOnXhMuPy/RXQjMhgV+kff/yBJUuWOHpIDkGr1aKnpwcymcz0b39/P9hs9hBBMRZmdpSoMJlMcDgccDiccZvqarVayOXyIaIukUjQ398PnU4HV1dXiEQiiEQiCIVCCIXCy65AO4fDQXh4OPr6+tDQ0ICOjg7apXqZQYsiDYCBqNL7778fv/32G1544QXcd999l83MgRCCvr4+dHR0oKurCzKZDHK5HFwu1yQQAQEBEAqF4HK5U9b96OTkZBK9wRBCoFKpTOLf0dGBqqoqU0UVoVAIDw8PeHl5QSAQTNn9twSBQGByqVZXV0MoFCI4OPiy+U1cztDfMA1++ukn3HPPPUhJSUFZWdmQBN7pyGAR7OjoQGdnJ/R6PTw9PeHh4YGgoCCTAF4OMBgMuLi4wMXFZYibXKVSmWbKEokEJSUlYLFY8PT0hJeX16QXyYnGEA52qdbX16O4uBghISF0cQoLmIpxnLQoXsZ0dnbigQcewB9//IG3334bN99886S9wE0UlUqFtrY2tLW1mUTQOPuZMWMGRCIRvXZ0CVwuF2Kx2CSUBoPBNJMcLJJeXl6mfD9nZ2cHjxoml69CoYCLi8uEt2esMNPZ2Yna2lp61mgBxoIDU8kNT3+rlym//PIL7r77biQnJ6O4uHjazQ6Ns0GJRAKJRAKZTAaRSARfX19aBK2EyWTCw8MDHh4eiIyMNImkVCpFXV0d8vPz4e7uDl9fX4jFYofNIlksFkQiEdrb2wEAPB7PJuNwdXVFREQEWlpaTIE49FrjyBBCoFAo0N7eDpFIBBbLslJ3joTOU7zM6OrqwgMPPIDffvsNb7/9NrZs2TJtZoeEEHR2dqK1tRUSiQRqtRre3t4Qi8Xw9fWdUu5QY/Tp+vXrp8xdtnE2LpFI0N7ebppp+vn5wdPTk9LzjBBiuhmyB/39/ejq6jJFGNM3WCMjEokgFoun1DWGnileRhw7dgxbtmxBUlISiouL4e/v7+gh2QRj8nVzczP0ej38/PwQFxcHb2/vKXWHOtXhcrkICQlBSEgIdDodOjo60NrainPnzoHFYiEwMBCBgYGUzK4YDAb8/Pzg4+MDrVZrFxttbW145plnUFpaitdeew3Jycl2sTNVcXJympK/P3qmeBmg0+nw/PPP44033sAbb7yBu+66a0rduY2EUqlEU1MTmpqaIJfLIRaLTUWfp8Nd+1ScKY6GwWBAe3s7GhsbIZFIIBAIEBgYiICAAJus+TkSQgg+/PBDPPLII3jsscfw9NNPT0khoPkfU//qYUdOnjyJjRs3wt/fHwwGAz///POQ15977jnMmjULfD4f7u7uWLVqFbKzs4e8JzQ0FAwGY8hj9+7dQ97z8ccfIyQkBHPmzBn2+YnS3NyMlStX4ocffkBWVha2b98+ZQXRYDCgubkZp0+fxuHDhyGVShEREYE1a9Zg3rx5EIvF00IQpxtMJhNisRjz58/H2rVrER4ejvb2dhw+fBinT59Gc3OzWV0eJiMMBgP33HMPMjMz8e233+KKK65AS0sLZfZ3795tKuhtZNmyZcOuOffcc8+Qz+3btw+RkZGIiooaUkychnafjolcLkdCQgJuv/12bNq0adjrkZGRePfddxEeHg6lUok333wTq1evRlVVFby9vU3ve/7553HXXXeZ/hYIBKb/NzQ04JVXXsF3332H5uZmbNu2zdRQdKL8/vvv2Lp1KzZu3Ijff/8dfD7fJtulGrlcjrq6OjQ0NMDJyQkhISFISkqaUmuENAM4OTkhODgYwcHBptl+aWkpCgsLERwcjJCQkCl5niYkJCAnJwf33XcfEhMT8dVXX2HNmjV2tXnu3Dl8+OGHiI+PH/baXXfdheeff9709+DCDmq1Gjt27MDnn38OQghuv/12rF69mi5rdxFaFMdg3bp1WLdu3aiv//nPfx7y9xtvvIFPP/0UBQUFQ4pmCwSCUcuk9fb2QiQSIT4+HmKxGEqlcsLj1mq1eOqpp/D+++/jvffewy233DLhbVINIQRSqRQ1NTWQSqUQi8WYN28evLy8puxMl2YoLi4umDlzJmbMmGGKYD127Bh8fHwQFhYGb2/vKfVdu7q64ssvv8S///1v/OlPf8LOnTvx/PPP28X93d/fj5tvvhkff/wx/vnPfw57ncfjjXrNUavVYLFYpt6JbDYbarWaFsWL0L4mG6HRaPDRRx9BKBQiISFhyGu7d++Gp6cn5syZg1dffRU6nc70WmxsLOLj4yEUCjF79uwRT3BLaGxsRFpaGg4ePIicnJwpJ4h6vR51dXU4evQozp8/D5FIhFWrVmH+/PlT7iJJYx4MBgM+Pj5ITk7GqlWr4ObmhvPnz+PYsWOoq6uDXq939BAtYuvWrTh79iz279+PZcuWoampyeY2duzYgQ0bNmDVqlUjvv7111/Dy8sLsbGxeOKJJ0z5gsBAAfRt27bBz88P/v7+uPfee4d4ry57KGxTNaUBQH766adhz//666+Ez+cTBoNB/P39ydmzZ4e8/vrrr5P09HSSn59P3n//fSISichDDz00bDsdHR1EoVBMaIynT58mPj4+5M4775xS/csIGegfWFFRQf744w9y9OhR0tDQQHQ6naOH5TAu936KOp2O1NfXk6NHj5IDBw6QyspKotVqHT0si1AoFOT2228nYrGYZGVl2Wy73377LYmNjTX9xpcuXUr+8pe/mF7/8MMPyYEDB0hBQQHZu3cvCQgIINdee+2w7chkMtLb22uzcU0XaFE0k9FEsb+/n1RWVpKsrCxy++23k9DQUNLW1jbqdj799FPCZrOJSqWy6fg+/fRTwuPxyJ49e4jBYLDptu2JSqUiJSUl5LfffiMnTpwgra2tU2r89uJyF0UjBoOBtLS0kBMnTpDffvuNlJaWErVa7ehhmY3BYCBvv/024fF45Isvvpjw9hoaGoiPjw/Jz883PXepKF7K0aNHCQBSVVU1YfuXA7QomsloongpM2bMIC+++OKorxcVFREApKyszCbj0mq15MEHHyQeHh7k6NGjNtkmFSgUClJQUEB+/fVXkpmZSaRSKS2Gg6BFcSgGg4G0t7eT06dPk19//ZUUFBRMKW/I4cOHibu7O3nkkUcm5AH56aefCADCYrFMDwCEwWAQFos14rb7+/sJAHLgwIGJ7MJlAx1oY2MMBgPUavWor+fl5YHJZMLHx2fCtrq7u3HjjTeipaUF586dQ3h4+IS3aW80Gg2qqqpQU1MDHx8fLF68mC6wTDMuDAYD3t7e8Pb2Rnd3NyoqKnDkyBGEh4dj5syZkz6X05iudfXVV6O4uBjffvutVef9ypUrUVhYOOS5bdu2YdasWXj88cdHzJHMy8sDgGlXytFe0KI4Bv39/aiqqjL9XVtbi7y8PHh4eMDT0xO7du3CVVddBT8/P3R0dGDPnj1obm7G9ddfDwDIyspCdnY2li9fDoFAgKysLDz00EPYsmUL3N3dJzS20tJSXHXVVYiOjkZmZuakr8Go1+tRU1ODyspKCIVCLFq0aMLHgObyxN3dHSkpKeju7kZJSQkOHz6MyMhIhIWFTerE+ZkzZyIrKwt//vOfkZKSgn379iEqKsqibQgEAsTGxg55js/nw9PTE7GxsaiursY333yD9evXw9PTEwUFBXjooYeQlpY2YuoGzQg4eqo6mUlPTycAhj22bt1KlEolufbaa4m/vz/hcDjEz8+PXHXVVUMCbXJzc0lKSgoRCoWEy+WS6Oho8uKLL054PfHw4cNEKBSSJ598kuj1+onupl3R6/Wkrq6OHDhwgKSnp4+53krzP2j3qXkYDAbS1tZG0tPTyYEDB0hdXd2k/03odDry2GOPEZFIRI4dOzbh7Q1eU2xoaCBpaWnEw8ODODs7kxkzZpBHH32U9PT0TNjO5QJd5m2K8d133+GOO+7A+++/j1tvvdXRwxmTtrY2FBUVgRCC6OhoU2UgmvGZTmXeqIAQgubmZpSWloLJZCIuLs4mSxT25IsvvsCOHTvwxRdfmLxLNI6Hdp9OId5++2089dRT+PHHH7F27VpHD2dUFAoFCgsL0dnZiVmzZiE0NJQuv0ZjVxgMBgIDA+Hv74+6ujqcO3cO3t7eiI2NHVLNZTJx2223wdvbGzfddBOkUinuu+8+Rw+JBrQoTgkIIXjqqafw0Ucf4ciRI0hJSXH0kEZEr9ejqqoKlZWVCAgIwMqVKydF01maywcmk4nw8HAEBASguLgYx44dQ2RkJCIiIibleuOGDRtw6NAhXHnllZBIJPjHP/5Be1McDC2KkxydToe7774bR44cwenTpy1emKeKtrY2FBYWgs1mY+HChfDw8HD0kGguY5ydnTF37lyEhoaioKAADQ0NiIuLg6+vr6OHNozU1FRkZGRgzZo1kEgkeO+998Bm05dmR0GvKU5iFAoFbrrpJtTW1uLAgQMICAhw9JCGoVQqUVBQgM7OTkRHR5u6gtBMDHpN0XYQQlBbW4vS0lJ4e3sjPj5+UhaTb2xsxNq1axEZGYlvvvlmyrfVmqrQCz2TlJ6eHqxevRoymQwnT56cdIJICEFDQwPS09PBZrOxcuVKhIWF0YJIM+lgMBgIDw/HqlWrwGKxcOzYMTQ2NmKyzQeCgoKQkZGB9vZ2rFmzBr29vY4e0mUJLYqTEJlMhiuuuAJubm44ePDgpMvnUyqVyM7ORklJCebMmYOkpCR67ZBm0uPs7IykpCTMmTMHxcXFOHv2LFQqlaOHNQQPDw8cPnwYLi4uWL16NXp6ehw9pMsO2n06yejq6sLq1avh5+eHH374YVKJDSEETU1NKCwshK+vL+Li4uh2M1ZgrHpkfBgMBhBCTP8SQqDValFUVIT4+Hiw2WwwGAwwmUzTv87OzuByuXB2dqZn51ag0WhQUFCA9vZ2xMXFITAwcFIdR5VKhU2bNqGjo2NS3hhPZ2hRnER0dnaa3JDff//9pBIclUqF/Px8dHd3IyEhgS4ZNQJGsVMqlVCr1VCpVFCpVEP+b/wbADgcDpydncFkMk2CZ3wAQEdHBzw9PQHAJJYGg8FkR6PRAIBJII2PS/82PkenxQynpaUFBQUFcHd3R0JCwqRaa1Sr1bj++uvR1NSEI0eO0MFrFEGL4iShq6sLK1euhEAgwDvvvIP4+PhJc+fa3t6O3NxcU5DCZBJrR6HX69Hb2wuZTAaZTIaenh709vaCEDJElMYSrLFEypxAG4PBMExsR/pbrVaDwWDAzc0NQqEQIpEIIpEIbm5ukzJNgWrUarUpWCwpKQne3t6OHhKAgRuh/Px87Ny5E0qlEkeOHKFnjBRAi+IkQCaTYdWqVQgMDMSnn36Kc+fOITg4GNHR0Q4VRoPBgLKyMtTU1CAuLg7BwcGTRqipRK/Xo6enxyR+MpkMfX19YLPZJoERiUQQCoVwcXGxyYzMltGnBoMBSqXSNHbjQ6fTQSAQDBm/UCi8LIXSGDhWWFiIiIgIREVFOXRmTQhBSUkJmpqaMH/+fGzduhVtbW04fPgwhEKhw8Z1OUCLooMxRpn6+Pjgxx9/BIfDQV9fH06fPu1QYVQqlcjJyYFWq8W8efMmfcFxW6JWqyGRSNDZ2Ymenh709fXBycnJJBxGEXFxcbHbd2PvlAxCCJRK5RCR7OnpgVarhUAggFAohJeXF3x9fSfVura96e3txblz50xBOY5IixgsiIsWLYKrqyvUajWuvfZadHd34+DBg5fV75FqaFF0ICqVCmvWrAGPx8PPP/885OLjSGGUSCQ4f/48/P39ERsbO+0TiQkh6Ovrg0QigUQigUwmg0gkgpeXFyUCOBKOyFO8VCilUil6enrg7u4OsVgMX19fCASCae8t0Ol0KCwshEQiwdy5cylN+B9JEI2oVCpcddVV0Ol0+OOPPy6rmxUqoUXRQej1elx//fVobW3FkSNHwOfzh72HamE0GAwoLS1FXV0dEhISEBgYaFd7jsRgMKCzs9MkhGq1Gt7e3qaLv6MDLiZL8r5KpUJbWxskEgmkUim4XK7pGHl6ek7r4J3GxkYUFBQgNDQUMTExdv/9jSWIRvr7+7FixQqEhITgu+++uyxd3faGFkUHQAjBPffcg5MnT+LUqVOmCMORoEoYNRoNcnJyoFKpkJycPOIPcqqj0WjQ3t4OiUSCtrY2sFgsiMViiMVieHt7T6oLzGQRxcHodDp0dHSYbiQMBgN8fHxMIjlZxmlL+vr6cPbsWfB4PMybN89u+2iOIBqRSqVYvHgxrrjiCrzzzjvTfuZONbQoOoDnnnsOn3zyCTIzMxEcHDzu++0tjH19fcjOzoZAIMDcuXOn1cVNr9ejtbUVDQ0N6OjogEAgMAmhSCSatBeUySiKgyGEQCaTmQSyr68PXl5eCA4Ohp+f36S6wZgoWq0Wubm5kMvlSElJsfkNoyWCaKSurg4LFy7Efffdh6efftqm47ncoUWRYj744AM8+eSTyMjIwOzZs83+nL2Esa2tDTk5OQgLC3N4tKst6e3tRX19PRobG+Hs7IyQkBD4+/tP2jZClzLZRfFSFAoFmpubUV9fD61Wi6CgIISEhEAgEDh6aDbBKFz19fWYN2+ezXo1WiOIRgoKCrB06VK8+uqruPPOO20yHhpaFCnlxx9/xNatW3Ho0CEsXLjQ4s/bUhgJIaiurkZZWRkSExOnxfqhXq83XZhlMhn8/f0REhICT0/PKSf2U00UjRBC0NnZifr6erS0tEAkEiEkJAQBAQHTYvbY2NiI/Px8REdHIzw8fMK/QWsF0UhGRgbWrVuHr7/+GldffbXVY6H5H7QoUsTJkyexfv16fPvtt9i4caPV27GFMBoMBuTl5UEqlSI5OXnKJwQrlUrU1dWhrq4OHA4HoaGhCAoKmtJFBqaqKA5Go9GgsbERdXV10Gq1CA0NRWhoqMODmCZKd3c3zp49Cx8fHyQkJFgVbGQLQTTy888/Y8uWLThw4AAWL15s9XZoBqBFkQJqamqQnJyMl156CXfdddeEtzcRYdTpdDh37hzUajUWLFgwpS9Q3d3dqKmpQUtLC7y9vREeHg5vb+8pNysciekgikYIIZBKpaiurkZHRwf8/f0RHh4+pW/GlEolzpw5AxcXF8ybN8+itCVbCqKRDz74AH//+9+Rk5ODkJCQCW/vcoYWRTvT19eHhQsXYuXKlXjrrbdsul1LhVGtVuPMmTNgs9lITk6eshfbjo4OlJaWoqenB8HBwQgPD5920bLTSRQH09fXh9raWjQ0NEAkEiE6OnrM6OvJjFarRXZ2NgwGAxYsWGCWZ8Iegmhk586dyMjIwOnTp6fd74FKaFG0IwaDAZs2bYJcLscff/xh8yR4S4RRoVAgMzMTQqEQc+fOnZLrOz09PSgpKUFXVxdmzJiB8PDwaSUYg5muomhEq9WipqYGVVVV8PT0RHR09JQsX6bX65Gbm4u+vj6kpqaOGchlT0EEBo7pmjVr4O7ujv/+97/TOofUntBHzY4888wzKC4uxvfff2+XqjACgQCLFi1CQ0MDSktLR22a2tPTg5MnT8LHxwfz5s2bcoIol8uRm5uLkydPQiAQ4IorrkBUVNS0FIvLBScnJ0RFRWHVqlXg8/k4efKkKe1hKsFisTB//nx4eXkhIyNj1MbA9hZEYOCY/ve//8WFCxfw/PPP23z7lwv0TNFOfP/999i+fTvOnDmD6Ohou9oaa8bY2dmJM2fOYMaMGYiMjJxS620qlQoVFRWor69HQEAAZs2aNWVSKibKdJ8pXopCoUBZWRmam5sRGhqKyMjIKVXGjBCCiooKVFdXIyUlZYhLmApBHExRUREWLlyIzz77DH/605/sams6QouiHcjNzcXSpUvx/fffY8OGDZTYHEkYpVIpsrOzERsbi9DQUErGYQu0Wi2qqqpQXV0Nb29vREdHX3YFkC83UTTS29uL0tJSSKVSzJgxAxEREVNq/2tra1FcXIwFCxbAy8uLckE0sm/fPtx8883IyMhAYmIiJTanC7Qo2pi2tjbMmzcP999/Px577DFKbQ8WRk9PT5w7dw7x8fFmVc2ZDOj1etTV1aGiogICgQAxMTGXbWPVy1UUjXR2dqKkpAT9/f2IjIxEaGjolHH719fXo7CwEMnJyZBKpZQLopEXX3wRH374IXJyciZNj8ipAC2KNsRgMGDNmjXw9PTEt99+6xBXZV9fHzIyMqDT6TBnzhwEBQVRPgZrkEgkKCgogJOTE6Kjo+Hr6zulXL225nIXRWDA7djW1oaSkhLo9XrExcVBLBY7elhm0dDQgLy8PLDZbKSlpTkkGpQQghtuuAH9/f347bff6MAbM6GPkg3ZvXs36urq8NFHHznsgq5UKmEwGMBisdDX1zdq8M1kQaPRIDc3F7m5uYiKisKyZcsgFosva0GkGYDBYEAsFmP58uWYOXMmcnNzcf78eWi1WkcPbUyMrcjYbLapwbMjYDAY+OSTT1BeXo7XXnvNIWOYikzvRnkUkpGRgV27diEjI8Nh619SqRRnz55FQkICRCIRTp8+DQCTtqapRCJBXl4ehEIhVqxY4ZCGrjSTHwaDgdDQUPj6+iIvLw/Hjh1DYmIipX0OzWXwGmJaWhq6urqQnZ1tWmOkGqFQiO+//x7Lli3D4sWLrSoveblBzxRtQEdHBzZv3oyXX34Zc+fOdcgYjD+++Ph4BAUFmZ2u4Qg0Gg3Onz+P3NxcREdHY8GCBbQg0oyLi4sLFixYgFmzZiEnJwcXLlyYVLPGkYJqgoODERcXh+zsbHR1dTlkXPPnz8euXbuwefNmh41hKkGvKU4QQgiuuuoqODk54ccff3TIjKy3txenTp1CdHQ0wsLChrxGdaPi8ZBIJMjPz4ebmxsSExNpMRwFek1xbBQKBfLy8tDX1zcpZo3jRZnW1NSgvLwcixcvdkjnEEIIrrnmGjCZTPzf//2fw68Dkxl6pjhB3nrrLRQWFuLTTz91yImmVCqRlZWF8PDwYYIImJ/gb2+0Wq1pdjhr1ix6dkgzIXg8HlJTUxEVFeXwWaM5aRfh4eEICQlBVlaWQ9YYGQwGPvvsM+Tk5ODdd9+l3P5Ugp4pToCzZ89i+fLlOHr0KBYsWEC5fY1Gg4yMDHh6eiIhIWFMUXbkjLGtrQ15eXn07NAC6Jmi+QyeNc6ZM8dmvQ7NwZI8REII8vLy0N3djcWLFzuki8upU6ewZs0anDx5EklJSZTbnwrQomglCoUCCQkJuPPOO/H4449Tbl+n0yEzMxNcLhfz5883S+SoFkadTofCwkK0tLQgNjYWwcHBtNvGTGhRHBmlRo+WHiV6lFr0q3SQq3XoU+vQr9Kitb0T7e3tcBe5IdDfH2wWEywWE1w2Ex58Dtz5HHjwBv5147InfC5ak5hvMBhw7tw5aDQaLFy40CG5ly+++CK+/PJLXLhwgb5BHQFaFK3kwQcfRE5ODk6cOEH5iW0wGHD27FnodDqkpqZaZJ8qYVQqlcjOzgaLxUJSUtJlU57NVlzOoihX61Am6UNJay9qpP1okSnRLFOiRaZCl1xjExtsJgNiIRehnnyEevEG/vXkI9SLjzAvPljMsX8XE6lUo9PpkJWVBQ6Hg/nz51OeP6jX67Fo0SIsXryYTtUYAVoUrSAjIwNr167FhQsXEBkZSbn9/Px8dHV1YfHixVZdMO0tjF1dXTh79ix8fX0RHx8/ZSqRUAkhBBqNBiqVCiqVCnq9HgaDAYQQEEKg1WpRVFSE+Ph4sNkDsxomkwkWiwUulwsulwsOhzPlZ95avQEFTTJk13ahuKUXpS29qO2UY6yrkqszG+58J7g6O8HVmQW+Mxuuzmy4OLFAAOj0BnR2dUGuVEPk7g4dWJApNOiSa9At10Cu0Y85Jh6HhdgAIRIChUgIEiEhUIRAdxfTsbZF6TaNRoNTp07By8sL8fHxFn9+opSVlSEpKQmHDx+m0zQugRZFC5HL5UhISMCOHTvw0EMPUW6/trYW5eXlSEtLm9Dsy17C2NDQgIKCAsTExCAsLGzKX7StRa1Wo6enBwqFAiqVCmq12iSAxr8JIXBycoKzszOcnJzAYDBMD2Ag1cdYWHqwWKrVami1WjAYDDg7O5tE0vhwdnYGj8eDUCicdEW1DQaCktZeZFV34nR1B87WdkExgkj5CJwR4++GSF8BAt1d4C90QYD7wMONO/6NICEENTU1KC0tRUJCwpDKTmqdHl1yDZq6lajtkKO+U466DgXqOuWokcqh1A4fj5erM5bM9MLiGV7wIZ1QdEomXLpNoVDgxIkTiI6Odkht4ldffRWffPIJ8vLyaDfqIGhRtJC//OUvyM3NdYjb1FjgOzU11SaNWW0pjAaDASUlJWhoaMC8efMoDXZwNGq1GjKZzPTo6emBUqkEj8cDn88fIlYuLi5DhGy0c2g896lerx8ispcKr1wuh0KhgIuLC0QiEYRCIUQiEUQiEeVCqTcQnKvrwm8FrThQLIG0Tz3kdXeeExaEeyIhSIQYPzdE+7nBW2CbMba3t5u60cfExIx7jusNBNXSfuQ1ylDQJENBUw9KW3uh1Q+9TEb58rEsyhdXxPhibrA7mOO4W0ejo6MDZ86ccUhyv16vNyX0v/7665TanszQomgBJ0+exPr163HhwgXMnDmTUttyuRwnT55ETEwMQkJCbLZdWwijRqNBTk4OlEolUlJSpnXXb4PBgM7OTnR1dZlEUKVSgc/nDxOfiawF2mJNUaPRoKenxyTUMpkMcrkcLi4upnF6eHjA09PT5utahBCcre3C/oJW/FEkQUf//4SQz2EhJdwTCyM8sTDCC7PEAqtFxRz6+/uRnZ0NHo+HefPmWXw81To9ztd346esMpyp60FD/9DX/YRcXBnvh40J/ogLEFr8G6qrq0NpaSmWLl1K+dq70Y166NAhLFq0iFLbkxVaFM1ELpcjPj4e999/Px588EFKbWu1WmRkZMDb2xtxcXE23/5EhLGvrw/Z2dlwdXVFUlLStAwK0Wg0aGtrg0QiQXt7O9hsNjw9PU3iJxQKbb7f9gq00Wq1Q0Syo6MDer0evr6+EIvF8PHxmVCqQI9Cix/ON+Hr7HrUSP/XMNiNy8bq2WJsiPfDoggvcNjUBpdotVrk5ORAoVBYfON26RqiGk44VdWB4+VSHC5pQ79aZ3pviCcPVyX448b5QQh0N1/gjHECS5YssUtD8rF47bXX8NFHHyEvL48OiAMtimbz4IMPmtymVEaLEUJw9uxZ6PV6LFiwwG62rRHGtrY25OTkIDQ01CzX1FSiv78fEokEEokEXV1dcHNzg1gshlgshlBo+WzAUqiKPiWEQCaTmUS/t7cXnp6eJpE0VzwKmmT4Kqsevxa0QKU1ABiYEa6P88N6BwnhpRjFrb6+3mwX/3hBNSqtHsfLpdhf0IIjpW2mfWcwgBVRPtiSGoKlM73HnQkbDAZkZWXBycnJ7BQrW6HX67FkyRKkpqbSblTQomgWeXl5SE1NRV5eHqKioii1XV5ejsbGRqSlpdk92ddcYSSEoLq6GmVlZcOCGKYyMpkMzc3NkEgkUCgU8PLyMgkh1YEIjkrJUCgUJoHs6OgAj8eDWCxGQEAARCLRsPefqenEv45UIqum0/TcLLEANy8IwbVzAuDqPPl6DjQ2NiI/Px/R0dGIiIgY9X2WRpnK1TocLWvHf8414lRVh+n5YA8e/pwSjM3zgyHkjf5dqtVqnDx5EiEhIZRHtZeUlCApKQlnz561izdqKkGL4jgYDAYsWbIES5cuxYsvvkipbeMi/JIlSyAUCimxOZ4wEkJQWlqKhoYGpKSkwN3dnZJx2QutVoumpibU19ejv78f/v7+Jjci1W6sS8fl6DxFrVYLqVQKiUSClpYWuLq6IiQkBAEBAchp6MVbRytxtnagwLQTi4ENcX7YsiAESSHuk95rYCygHxoailmzZo14nk8k7aJa2o+vzzTgv7mN6FMNuFddndm4JTUEdy4Og6fryIFEMpkMp06dslkwnSU89thjOHPmDE6cODHpvz97QoviOHzxxRd45plnUFpaCj6fT5ldtVqN48ePIzIycsSapvZkNGEkhKC4uBjNzc1YuHChQwob2wqZTIba2lo0NzdDIBAgNDQU/v7+k2ZNdDKI4qXjaW5uxpG8GnxbokB178A5wWExccP8QNyzNMKiNbTJgPE8DwoKGuL+t0UeohGlRo9f81vw2elalEn6AAAuTizcnBKM7Wnh8HHjDvtMTU0NKisrsXz5ckpLwfX19WHWrFl4+eWXsWXLFsrsTjZoURwDmUyGyMhIvPfee/jTn/5EmV1CCM6cOQM2m4158+Y55K7tUmEEgIKCArS1tWHRokWU3iDYCoPBgNbWVtTU1KCnpwdBQUEIDQ2lbBZuCZNNFNt6Vdj9Rxl+utAMAHBiAqm+BNfFuGH+7BkQi8VTsrN7f38/MjMzIRaLTW5DWwniYAwGgiOlbXg3vQoFTT0AAA6biZtTgvHAiplw5/9P/IxxBIQQpKSkUPr7/+677/DQQw+hrKxsUv4uqIAWxTG4//77UV5ejoMHD1J6YlZWVqKurg7Lli1z6AVx8J20RqNBZ2cnFi5cOOUi1HQ6Herq6lBTUwMGg4GwsDCEhIRMCrEZjckiimqdHp+dqsM7xyqh0OjBYAA3JAXhoSsi4eHCRENDA2pqagDA1KllqlUwUigUOH36NLy9vcFms9Hc3GxTQRwMIQQnKqR451gVcuu7AQBCFyc8sHImblkQYgpG0mg0OH78OMLDwzFjxgybj2Os8a1cuRIJCQl48803KbM7maBFcRQcFVzT1dWFzMxMLFq0aFKs1/X29poKFSxbtmxKCaLBYEBDQwPKysrg4uKCmTNnws/Pb0qsl0wGUTxT04m//ViAuk4FAGBOsAjPbZyNhCDRkPcZDAZIJBJUVFRArVYjKioKwcHBU2rmqFAocPz4cRgMBixdutTuSwOEEJyq6sCu30pNbtVQTx6eWB+N1TG+YDAYDrsWXO5BN7QojoAxuCYtLQ0vvfQSZXa1Wi3S09MRERExZlQcVRBCkJ+fD6lUCp1Oh5CQkEnRqHg8CCFoaWlBaWkpACAmJmbKiKERR4qiSqvHqwfL8dnpWhACeAuc8cS6WbgmMWDM1ILBx53BYCA6OnpKHHfjGmJjYyOYTKapZi8V49YbCP6b04jXDlWYChwsjPDEi9fGIdSL7zCv0aOPPors7OzLMuiGFsUR2Lt3L5544gmUlZVRunZ24cIFKJVKpKamOvxEJISgsLAQbW1tWLx4MXQ6ncP6MVpCe3s7SkpKpuyMxYijRLGgSYaH/5OPqvaBsi03zgvC01dGQ2BGvVEjl87QY2Ji4O3tba8hT4hLg2pYLBZOnToFsViM2NhYys7zfrUO7x+vwscZtdDoDHBmM/HwFZG4fVEozmafAZ/PR2JiIiVjAf4XdPP666/jpptuoszuZIAWxUswXkyff/553HrrrZTZNSbCL1++3OEuSmOUaUtLCxYvXmwajyMbFY+HTCZDSUkJZDIZZs6cibCwMIemVEwUqkVRbyB491gV3j5WCb2BwFvgjJevi8OKWb5Wb1On05kiKd3d3RETEzNirqOjGC3KVC6X49SpUwgMDKS8KEVDpwJP/lRoynOMCxDiHxsi0Vp6DvPnz6e0pvBnn32GXbt2obS01CENkR0FLYqX8K9//ctUOZ6qgAGtVotjx45h1qxZNq1rai2lpaWor6/H4sWLhwUbTDZhVKvVKCwshEQiQVhYGGbOnDktfsBUimKPQou/fH8Bx8ulAIAN8X7459WxQyIiJ4JGo0FlZSVqa2vh5+eH2NhYh3fvGC/tor+/H6dOnTLlMVI9tv/mNuGf+0vQq9KBzWRgc6InUt1kuGLlCso8BzqdDvHx8dixYwd27NhBic3JAC2Kg+jt7UVERAQ+++wzbNy4kTK758+fh1qtxoIFCxwuMrW1tSgrK8PixYtHDTaYLMLY3NyMgoICeHp6Ii4ublq1v6FKFMslfdj+VQ7qOxVwZjPx4rVxuC4p0C62lEolCgsL0dnZiYSEBPj7+9vFzniYm4fY29uL06dPO6y1U3ufCs/+Uow/iiQAgJnuLPx1kRfWLJ5H2Rh+/vln3H333aiurp7Whf4HM/UWW+zIG2+8gaioKFx55ZWU2ZRIJGhtbUViYqLDBbGjowPFxcVITk4eM/pOIBBg0aJFaGhoQGlpKai+r1Kr1Th37hwKCgoQHx+P5OTkaSWIVLG/oAXX7DmN+k4FAkQu+PHehXYTRABwcXHB/PnzERcXh7y8PJw7dw5qtXr8D9oQSxLz3dzcMH/+fBQVFaGzs3PU99kLHwEX729Jwrt/ngMBl43Kbj0e/KMN350qo2wMV199NSIiIvDWW29RZtPR0DPFi7S3tyMiIgIHDhygrIXKZHKbWtOayhEzxsGzw4SEBIe74eyFPWeKhAysH75+uAIAsHiGF97ZPMdm7lJzUKlUps4QVM0ara1UY/SeOKK1k5HGLgUe+O4CLjTIAACb5wfi2atiwXWy/xLPyZMnsXHjRlRXV1Pe89ER0KJ4kQceeAB1dXXYt28fZTbz8/OhUCgc7jY1tqby8vJCfHy8RZ+lShjVajUKCgrQ0dGBuLg4BAQEOHxmbU/sJYoGA8Hz+0vwRWYdAGB7WjgeWxMFNot6pxEhxHST4+Pjg7i4OLvd5Ey0dJsjWzsZ0eoNeONQOd4/MVAsIcbPDZ9snQd/kf29JBs2bEBUVBTeeOMNu9tyNLQoYqDW4OzZs3Hu3DnExsZSYrO7uxunT5/G8uXLHVoyzVhSSqfTITU11ar0BXsLY0tLC/Lz8+Hp6Yn4+HhwucPrRU437CGKGp0Bj/6Qj1/yWgAAz26MwbZF1NbVHQnjrLG7uxvx8fE2nzXaopapI1s7XcrB/AY88kMB+rUMeLk648NbkpAUYt/k/oKCAqSkpKCsrMzhXi17Q4sigK1btwIA/v3vf1NijxCCkydPwtfXl/LItkspLS1Fc3PzhFtT2UMYDQYDCgsL0dzcjPj4+Gk/OxyMrUVRodHh3r3ncaJCCjaTgddvSMDViQE2GKltIISgqakJhYWFCAgIQFxcnE3yS21Z3NvY2ik4OJjyFnKXkn42H88cbkFjnwEcFhO7r4vDprn2Ww8GgFtuuQUcDgeffvqpXe04msteFOvq6hAVFYXi4mLKagzW19ejoqICK1ascGidyObmZuTl5WHJkiVwc3Ob8PZsKYzGYBqdTofk5GSH525SjS1FUaXVY9vn55BV0wkXJxbe3zIXy6Koy3ezBIVCgezsbHA4HMyfP39CN2q2FEQjvb29yMjIwJw5cxwWPQsMpEv8fugo/tPIw6naXgDAPUsj8NiaqHEbGltLeXk5EhISUFlZOW16qI7EZR99+tprr+Haa6+lTBA1Gg1KSkoQGxvrUEGUyWS4cOECkpKSbCKIgO2iUnt6enDy5Ek4OzsPKR5AYzlavQE7vzmPrJpO8Dks7L0zedIKIgDweDwsWbIETk5OOHHiBHp7e63ajj0EERiISJ07dy7Onz+Pnp4em2zTGthsNuYlxmFzUB/uXhIKAPjgRDUe/D4PWr3BLjajoqKwceNGvP7663bZ/mThshbFtrY2fPbZZ/jb3/5Gmc3S0lK4u7tDLBZTZvNSVCoVsrOzERkZafNxTFQYW1pacOrUKQQHB2PevHlTuiqNo9EbCB75Tz6OlLbDmc3Ep7fNR1KIh6OHNS5sNhvz589HUFAQMjIy0NraatHn7SWIRvz8/DBz5kxkZ2dTnlJy6TjcRSJsCNLjzRsTwGYysC+/BXd/lQuVVm8Xm0888QQ+/vhjSKVSu2x/MnBZi+K//vUvLF++nLKagjKZDI2NjZTWVLwUvV6Pc+fOwdPTEzNnzrSLDWuEkRCC8vJyXLhwAXPmzEFUVNRls35oDwghePrnQuzLbwGbycAHW5KwIJzaTu4TgcFgYNasWZgzZw5yc3NRUVFh9nlkT0E0EhkZCXd3d5w7dw4Gg31mZuPBYDAQHx+P+vp6rAgX4ONb58GZzcSxsnbc+tlZ9Km0Nrc5d+5cLF68GG+//bbNtz1ZuGxFsaenB3v27METTzxBiT1jPdHw8HCHVoYoKyuDXq/HnDlz7Co6lgijTqdDTk4OGhoasGTJEoeu1UwX3jpSiW/PNoLJAN66KRHLZ01el+lY+Pv7Y8mSJairq0Nubi50Ot2o76VKEIEBQZozZw60Wi3KyqhLpr8UV1dXhIeHo7i4GMtn+eCrO1IgcGbjbG0XNn98Bp39tp/JPvHEE3j33Xetdm1Pdi5bUXz//fcRHx+PxYsXU2JPKpWip6fHbrMzc+jq6kJtbS3mzp1LyXqmOcKoUqlw6tQpqNVqpKWl2Wx983Lmj8JW/OtoJQDgn9fE4cr4qX2TIRQKsXTpUtO5olKphr2HSkE0wmazkZSUhJqaGnR3d9vd3mjMnDkTMpkM7e3tSA7zwLfbF8CTz0FRcy/+/HE2uuUam9pbunQpZs2ahQ8//NCm250sXJbRp0qlEqGhofj888+xfv16u9sjhODEiRMIDAyktIv2YPR6PY4fP46goCBERkZSanu0qFSlUonTp0/Dw8MDiYmJU7LF00QghECr1UKlUkGlUkGj0YAQAoPBAJ1Oh6KiIsTHx4PNZoPBYIDD4YDL5YLL5cLJyWnEmX5pay+uez8TCo0e2xaF4tmNsx2wZ/bBYDDgwoUL6O7uxqJFi0yl/RwhiIMpLy9Hc3Mzli5d6rDgucrKSrS0tCAtLQ0MBgPV0n5s/ugM2vvUiA8U4us7Uyxq/zUe+/btw913343a2tpplzd8WYri+++/jw8//BAXLlygZN2qqakJxcXFWLVqlcN+NMXFxejo6MCSJUscIj6XCqNCoUBmZia8vb2RkJAwbdcPCSHo7+9HT08PZDIZFAqFSQTVajUMBgNYLBa4XC44HA6YTKbpWHR0dMDTc2Ad0GAwQKPRQKVSQa/Xg8lkwtnZ2SSSfD4fhMPH3T9Uo7lHhcUzvPDFtvkOqVRjTwY3vjYKoyMFERj4bk6ePAkfHx/ExMRQbh8YWII4evQoYmNjERAwkH9a2daHGz86gy65BvND3fHv25PB49gmcM1gMCAhIQE7d+7E3XffbZNtThYuO1EkhCA6OhpPPfUUbrnlFrvbMxgMOHr0KCIjIx1WCaKrqwuZmZkOd08ahVEsFqOtrQ3+/v4ODTqyNYQQyOVydHd3m0Swp6cHBoMBbm5uEIlE4PP5JiHjcrlwdnYeMQ9xrDxFrVYLtVptEleVSoXevn48dViC0i49vLjAP9MECPTxgEgkgkgkmlYdDowNsCUSCby9vdHe3u4wQTTS29uLkydPYtGiRXB3t291mdGoq6tDVVUVVqxYYbrxLWruweaPz6BPpcOSmV74ZOs8OLNtc2P++eef47XXXkNRUdG0+Q0Dl6EoHj58GDfffDMaGxspKSZdU1OD2tpaLF++3CEzNKPbNDg42KHrmUba2tpw5swZuLu7Y/HixVPeZWowGNDV1QWJRAKJRAKlUgmhUAihUGgSJIFAYPF+Wpq8vye9Cq8eLAefw8KXt8bDy0kLmUwGmUyG3t5euLi4wM/PD76+vvDw8JgWxz0jIwMymQypqamUNt8djfLycjQ1NWHZsmUO8QgZDAYcO3YMM2bMGNLqKre+G7d8mg2FRo81s33x3s1JYNkgwV+pVCIoKAj/+c9/sGLFiglvb7Jw2SWBvfvuu9i+fTslgqjT6VBRUYGEhASHXYTKysrAZrMRERHhEPuDkcvlyMvLQ3BwMCQSCcrKyiZFo2JL0Wq1aG9vh0QiQVtbG5hMJnx9fTF79mx4e3tTnltZ2NSDNy92vHj+6lgkzRgIrDF6JnQ6HaRSKSQSCc6dOwdCCHx9fSEWi+Hj40NZ01pbQQhBaWmp6aKcl5c3KYo8zJw5E62trSgrK8Ps2dSv5TKZTMTExKCgoACBgYGm8zApxB2fbJ2H2z4/h4PFbfBadSdk6Z+ZPhcVFWVVBK2LiwvuvPNOvPvuu9NKFC+rmaKxpFt1dTUCA+1bJxAAqqur0dTUZFr8phqj23Tp0qVj9kekAqVSiVOnTsHX1xdxcXHo7++fFI2KzYUQgo6ODtTX16O1tRV8Ph9isRhisRju7u42H7+5M0WlRo8N72SgRirH+jgx9vx57phjIYSgu7vbNLOVy+Xw8/NDaGgoPD09p8T3MHgNkc/no6CgYMgaoyMxulEXLlwIDw/qCyUYg/qCg4MRHh4+5LV9+S144NsLAIC/rQzGNXHeAAaiaK1tCVVfX4+ZM2eisrJy2hQKn9o+FAv58MMPceWVV1IiiAaDAVVVVZg5c6ZDLjR6vR7nz59HVFSUwwVRpVLh9OnT8Pb2RlxcHBgMhsMbFZuLRqNBVVUVjh49ipycHLi4uGDZsmVYsWIFYmJi4OHh4VAheemPUtRI5fAROGPXNXHjjoXBYMDDwwMxMTFYsWIFli1bBi6Xi3PnzuHo0aOoqqqCVmv7pG9bMFKUqTGB3dPTE5mZmQ6tMAMMlIGLjIzEhQsXoNfbp6rMWDAYDMycORNVVVXDigpcleCPOewmAMCr6Y2o6mNDLBZPqEdiSEgI1q9fj48//nhC455MXDaiqNFo8Nlnn+Hee++lxF5jYyPYbDb8/PwosXcppaWl4HA4DksBMaLX63H27FmIRKJhUaaTWRj7+vqQn5+PQ4cOQSKRIDo6GmvWrMHs2bMdfpNh5FRlB77MqgcAvHZ9glVNggUCAWJjY7F69WrMmjULra2tOHjwIPLz89HX12frIVvNWGkXDAYDiYmJEAqFOHv2rEPEaDAzZswAm812WFK/v78/mEwmmpqahr0Wz2qFquwk9AaCLe+n49qt96KhoWFC9u655x58+umnk/ZmylIuG1H8+eefIRAIKPF9E0JQWVnpsFliV1cX6urq7F61ZjyM4fOEkFHHMtmEUaFQ4Pz58zh+/Dj0ej0WL16MxYsXIyAgYFIFp2h0BjyzrwgAcGtqCNIivSe0PRaLhcDAQCxZsgSLFy+GTqfD8ePHcf78eSgUClsM2WrMyUM0VpgxGAwoKChw6HnEZDIxZ84c1NbWoquri3L7xtliZWXlsOOwYEEK3tw8D9HeHIDDQ4FoIZYsv2JCN0CrV68Gl8ultEG7PZk8v3I788EHH+Duu++m5MLW2toKg8FAiZv2Uozh6jNnznT4jKa6uhpSqRTJycljRuNNBmFUq9UoLCzE0aNHQQjBypUrMXfuXIhEIsrHYg6fnqpFjVQOL1cO/rrGtr39RCIRkpKSsGLFChBCcOzYMRQVFTnENWlJYj6LxUJycjLa2tpQU1ND4SiH4+bmhhkzZqCoqMgh53NgYCB0Oh0kEsmQ59etW4fNN16PvXenwV/Ihd7FA9rE6/H99/+x2haTycT27dunTYWby0IUa2pqcOrUKdx22212t0UIQUVFBSIiIhwys2htbYVSqXR4tGlbWxvKysqQnJxsVvCDo4RRp9OhvLwcR44cgVwuR1paGpKSkhweyTgWrT1KvHNsoIzb39ZFw82GlUoGw+fzkZSUhCVLlqCvrw9HjhxBeXn5mPVHbYk1lWpcXFyQnJyM0tJStLe3UzDK0ZkxYwYUCsUwYaICFouFiIiIUQupe7o6492b54LNZIAzMxUHqvonZG/btm1IT09HfX39hLYzGbgsRPGbb77B2rVr4e09MReTOUilUiiVSodEYhkMBpSWliIqKsqhLZf6+vqQk5ODhIQEixKZqRRGQggaGhpw5MgRtLW1YcGCBViwYAGEQqHdbNqKXb+VQqHRIynEHZvmBNjdnlAoRGpqKlJSUtDW1oYjR46goaHB7t+PtZVqPDw8EB8fj5ycHPT3T+xiPxHYbDYiIyMd5v0IDQ2FXC5HR0fHiK/PDXbHQyvCAAAXEIGiZuv7Q4rFYlxxxRX49ttvrd7GZGHaiyIhBHv37sXNN99Mib3q6mqEhYU5RJSMFypHhkZrtVpkZ2cjNDTUqu7cVAijUqlEdnY2SkpKEB8fjyVLlpjKqU12ztZ2YX9BK5gM4PmrZ9uty/pIeHl5YcmSJYiPj0dJSQmys7OhVCptbscWtUyDg4MRHByM7OxshwaAhIaGQq/XTziYxRrYbDbCwsJQXV1teu6vf/0rTpw4gbq6OmRmZuKnlx+Arv489GDgvq/Po3cC7aZuvvlm7N271+FxARNl2ovi+fPn0dLSgo0bN9rdVn9/Pzo6OoZUk6AKoxswOjraYQEhhBDk5OTA1dV1QjUg7SWMxtnhsWPH4OTkhBUrVsDf33/S5+YN5vVD5QCAm5KDMduf+lktg8GAv78/VqxYAScnJ6Snp6OxsdGm35GtapnOnj0bPB4Pubm5DrtQM5lMREdHo7y83CFRsaGhoZBKpZDL5QAG6jBv3rwZUVFRuOGGG+Dl6Yn9f78Rge4uaOhS4B/7Sqy2dc0116Curg4FBQW2Gr5DmPaiuHfvXmzatImSNaLa2lr4+/s7pGp8bW0tnJ2dHdqLsKSkBAqFAklJSRMWGlsL4+DZYVJSEpKSksDhWJ7C4EiyqjuRXdsFDouJncsdm2rD4XCQlJSEOXPmoLi4GGfPnh2xpZMl2LrbBYPBwLx589Df34/S0tIJbWsiBAQEgMPhoLa2dsz37dmzB6GhoeByuUhJScHZs2cnbNvFxQVisdhk+7vvvkNLSwvUajWamprw3XffITEmEv+6KREMBvDj+SYcK2uzyhafz8c111yDvXv3TnjcjmRai6JOp8N3332HLVu2UGKroaEBYWFhdrd1KRqNBpWVlYiJiXHYrEcqlaK2thYpKSk2KxtmK2FsampCenq6aXYoFottMj4qIYTgzSMDpdxunB8Ef5FjK7cY8fPzw4oVK8Bms3Hs2DE0NzdbtR17tX9ycnJCSkoKampq0NnZaZNtWgqDwUB0dDQqKipGdeV+//33ePjhh/Hss8/i/PnzSEhIwJo1a2wSLBQeHo6GhoYxA6SSQjxw5+KBa9fffixEj8I6N+qWLVvw7bffOjxXdCJMa1E8duwYGAwGli9fbndbzc3N4PP5DqmQX1lZCZFI5LCiyDqdDnl5eYiJibF5p4KJCCMhBMXFxcjPz8ecOXOm5OzQSFZNJ85enCXet9zxdWwHY5w1JiYmIi8vDyUlJRZ/T/Zs/yQQCBAdHY0LFy5QFjl7KT4+PhAKhaiqqhrx9TfeeAN33XUXtm3bhpiYGHzwwQfg8Xj47LPPRny/JXh4eIDL5aKlpWXM9z2yOgrh3ny096nxj/3FVtlatWoVtFotTpw4YdXnJwPTWhS//vprbN68mZKK9bW1tQgJCaF8pqZUKlFbW+uwPm7AQK9GFxcXu82SrRFGY8BPa2sr0tLSHFZZyFa8dWQgBeOm5CD4CSfHLPFS/P39kZaWhpaWFpw9e9asABeqGgSHh4fD2dnZYW5U42yxurp6mJtZo9EgNzcXq1atMj3HZDKxatUqZGVl2cR2aGgo6urqxnwf14mFV/+UACYD+L/zzThaarkblc1m46abbsLXX39t5Wgdz7QVRaVSif/7v/+jJOq0u7sb/f39DknWLy8vh6+vr8OSzKVSKRobG+1ePccSYezv78fJkydBCEFaWprDixhMlKLmHpyt7QKbycC9yybXLPFSBAIB0tLSoNfrkZGRYQrwGAmqBBH4X8Wb+vr6UVMU7I2Hhwd8fHxQXl4+5PmOjg7o9Xr4+voOed7X19dmOY5BQUHo7e1FT8/YaRdJIe64c8lAIfGnfy6CQmP5zHrLli344YcfJrzG7CimrSgePXoUPj4+mDNnjt1tNTQ0IDAwkPIWPH19fWhsbER0dDSldo1otVpcuHABMTEx4PP5drdnjjC2t7fj5MmT8PX1RUpKypR1lw7m6+yBhOi1seJJO0scDIfDwYIFC+Dt7Y0TJ05AKpUOew+VgmjE1dXV4W7U6OhoNDQ0UJ4/6eTkhICAALOS6x++IhKB7i5o7VHhvfTqcd9/KfPmzYNIJMLx48etGKnjmbaiuG/fPmzcuNHu7kyDwYDm5marcvImSkVFBYKCghzWcbykpAR8Pp/S4KKxhLG+vh5nz55FbGwsYmNjJ1WtUmvpU2nx84WBtaBbFkyd1jxMJhNxcXGYPXs2srOzh+TpOUIQjYSHh4PL5aKkxPrUg4kgEAgQGBiIiooK03NeXl5gsVhoaxvqrmxra7NpUFhgYCCam5uHdc+4FK4TC09vGFiO+ehkDeo7R5/tjwSDwcDGjRunbC3UqX/VGAGDwYD9+/fjqquusrut9vZ2sNlsynunqVQqtLS0OKwLhtFtmpiYSPk66kjCWFtbi6KiIixYsADBwcGUjsee/JTXCqVWj0hfVySHUd+fb6KEhIQgJSUFBQUFqKurc6ggAv9zozY0NDjMjTpjxgw0Nzeb3IvGQKWjR4+a3mMwGHD06FGkpqbazK6XlxeYTOaIM/dLWTPbF0tmekGjN+CF/Zavw1511VX49ddfp2Qi/7QUxdzcXCgUCixZssTuthobGxEYGEi5MNTW1sLb29shs0Sj23T27NmUuE1HYrAwZmZmoqSkBKmpqRPqDTfZIAT4OrsRwMAscSoVGRiMt7c3UlNTUVxcjMzMTIcJohFHu1EFAgE8PT2HuDIffvhhfPzxx/j3v/+N0tJS3HvvvZDL5di2bZvN7DIYDAQGBo7YUmqk9z67MQZsJgNHSttwvNyy1JClS5eip6cHeXl5Vo7WcUxLUdy3bx/WrVtn9zU+rVYLiURCeYCNXq9HXV3dsM7aVFFeXg4+n++Qyj2DEQgECA4ORkdHB/z8/BySDmNP6vqBmg45eBwWrqGgxqk98fDwgFgsRkdHB4KDgx0miEbCw8Ph4uIyLOiFKiIiIlBbW2tyZd5444147bXX8Mwzz5hSWw4cODAs+GaiBAYGorW11azI4Bk+Aty2MBQA8Pz+Euj0Y7tdB+Ps7Iw1a9ZMSRfqtBTFX3/9lRLXaWtrKwQCAdzc3OxuazDNzc3gcDiUFDi/FIVCgbq6OsTGxjp85lJbW4va2lrMmzcP7e3tk6Ifoy250Dnw81wzWwyBnTphUIHRZdrR0YF58+ahpqZm3PQAe8NgMBAbG4va2lq71G8dDx8fH7DZ7CHFDnbu3In6+nqo1WpkZ2cjJSXF5naFQiF4PJ7ZUa0PrJoJEc8JNVI5fs4bO8/xUq666ipaFCcD9fX1KC4uxtq1a+1uq6mpifJZIiEENTU1CA8Pd4golZeXw8/Pz+HdJBobG00u04CAAIf3Y7Q1BgNBfufA97sudupV4DFy6RpiQEAAFixYgKKiIrPcePZEJBLB19fXZrPF0NBQMBiMIY/du3eP+F4Gg4Hw8HDU1NRQfr4GBQWZfezduE64Z+lAGtC/jlZAa8Fscf369cjPz3f492wp004U9+/fjyVLltjdlaZSqdDR0YGAAGrdWl1dXVAoFA6Jdu3t7UVTUxNmzZpFue3BdHZ2Ij8/H/PnzzcFOE2GRsW2JL+5BzINA3wOC2mR1HsEbMFoQTWenp5ITk5GXl6eQzrTDyY6OhqNjY0T6jw/mOeffx6tra2mx/333z/qe4ODg9Hf34/u7m6b2DaXwMBASKVSs/MIb00NgZerMxq7lPhvjvkC5+npiYULF2L//v3WDtUhTDtR/O2333DllVfa3Y5EIoG7u7tZDXRtSX19PQIDAx3Smqq0tBQhISEOC64BBty3586dw+zZs4eVtZtOwnigaCA8f3mUN7hO9q/IZGvGizL18fFBdHQ0zp496xD3pRFXV1cEBwfbrNKNQCCAWCw2Pcb6rbDZbAQGBlLemNfFxQUikWhYCsho8Dhs7LhYWvCdY5VQac2va3rllVfit99+s2qcjmJaiaJWq0VGRgZWrlxpd1sSiYTywtJarRYtLS0OCXDp6uqCVCpFZGQk5baN6HQ6nD17Fn5+fqMeg6kmjIQQaLVa9PX1QSqVoqmpCfX19dhfMLDWlOzHRlNTE6RSKfr6+qDVaqfEPpmTdhEeHg5fX19kZ2c7LJkeAKKiotDe3m6TGdvu3bvh6emJOXPm4NVXXx13v0JCQtDc3Ex5z0dLq+VsTg6Gn5CL1h4Vvj1rfm/IlStX4uTJk1OqQLjj2rPbgfPnz4PD4SAuLs6udnQ6HaRSKWbPnm1XO5fS1NQENzc3ygN7jBe5iIgIh7TFMo7hwoULYLPZiIuLG3M91SiMp0+fBjDgInN0UBAwEDXc09MDmUxm+lcul0Ov14PJZILL5cLZ2RkSBdDer4MTgyCA1Yuamh6o1WqoVCoYDAawWCzw+XyIRCKIRCIIhUIIhUJKavyOhyV5iAwGA/Hx8cjMzEReXp5NWo5ZA5fLRXh4OEpKSrBw4UKrx/DAAw9g7ty58PDwQGZmJp544gm0trbijTfeGPUzIpEIrq6uaG5upvRm18/PD5WVldDr9WadN1wnFnYsn4Gnfy7CxydrcMuCELBZ48+pjHnMxu93KjCtRPH48eNYunSp3SuZSKVSuLi4UBpWTghxWBpGe3s7+vr67BINZy4VFRXo7u42+/udLMIol8shkUggkUjQ2dkJJycnk5hFRUXB1dUVLi4uYLPZpvF9daYeQBFCBQRpCxeYUouMs0qVSoX+/n7IZDJIJBKUlZVBq9XC09PTLLedvbAmMZ/FYmH+/Pk4efIkKisrHeaJmDlzJg4fPgypVDrELf+3v/0NL7/88pifLS0txaxZs/Dwww+bnouPjweHw8Hdd9+Nl156Cc7OzqN+3lism0pRFAgEcHZ2RkdHh9lpH39KCsSbhyvQ0qPCH0USbEwYv3cri8VCWloa0tPTaVF0BMePH8e6devsbsfoOqXyImucVVAd2GO80EVGRlJe29VIW1sbKisrsWTJkjEvLpfiKGFUKBRoaGhAS0sL+vv74eXlBT8/PyQmJoLH4407hjPVA33/ZgqHukkZDAY4HA44HA7c3NxMDaUJIVAoFGhra4NEIkFxcTFcXV0REBCA4OBgSta9J1KphsvlIjk5GadOnXJYCzQnJydERkaipKQE3t7epu/okUcewW233TbmZ0e7UU1JSYFOp0NdXR2ioqJG/XxAQACKioogk8koK+zPYDBMLlRzRZHrxMItqSF460glPsmowZXxfmb9npYtW4Zjx47hr3/960SHTQnTRhS1Wi1OnTo17l3dRCGEoK2tDfPmzbOrnUsxVs6hOsDGmOjrqER9jUaDvLw8xMXFWZUGQpUwEkIglUpRU1OD9vZ2+Pr6IioqCj4+PhbdTBBCcKZmQBRnuJm3dshgMMDn8xEeHo7w8HBotVq0t7ejsbER5eXl8PHxQXh4+JCLvS2xRek2kUiE2NhYXLhwAStWrHDIDVhYWBiqq6shkUhMrca8vb2tzgfOy8sDk8kcV+SNxbobGxsp7XYjFotx4cIFxMfHm31ebFkQgveOVyO/qQe59d2YFzp+6cFly5bhH//4B3Q6nUMCBC1l2gTa5ObmgsPhIDY21q52uru7YTAYKK11SggZ8kOlkurqaoSHhztsvaqoqAhubm4Tqmdqz+AbQghaWlqQnp6O8+fPQygU4oorrkBKSgoCAgIsvrhXtfejU64B14mJECu988aL7IIFC3DFFVdAKBQiNzcX6enpaG1ttfn+26qWaUhICAQCAYqKimw2PktgsVim3EFLycrKwltvvYX8/HzU1NTg66+/xkMPPYQtW7aYlR7m5+cHiURCaRCVl5cXdDrduO2khnzG1RmbLlZX+iSj1qzPJCQkmNYVpwLTRhSpXE/08fGhtANDb28vNBoN5XU9jQEhISGO6c4gkUjQ2tpqk6Lj9hDGjo4OZGRkoKCgAGFhYbjiiisQHR09IXelcZY4N0gEtg1OMRcXF0RHR2P16tUIDQ1Ffn4+MjIybFIM29bFvRkMBhITE9HS0mJ2uoCtCQkJQXd3t0VCAQyUNfvuu++wdOlSzJ49G7t27cJDDz2Ejz76yKzPe3t7Q61W2yxf0hyYTCa8vb0tPta3Lx7oinOwRILGLsW47zeuK06VVlLTShSXLVtmdzsdHR2Ui5NEIoGPjw/ls7Xq6moEBQU5xJVldJvGxsbabE3MVsIol8uRlZWF7OxsiMVirFq1CmFhYTb5fgqbBy7Gc4JFE97WYIyzoFWrVpnSIM6cOQOFYvyL2kjYq9sFj8fD7NmzkZeXR3maAjDQsSIwMNDi2eLcuXNx5swZyGQyKJVKlJSU4IknnjB7DZzFYsHb29tmTYXNxcvLC52dnRZ9JtJXgEUzPEEI8ON585L5ly1bRosilRgMBmRmZtq9K4Zer0dXVxc8PT3taudSHJETaWxN5aii44WFhRCJRDZvAzURYTS2qEpPTwePx8MVV1yByMhIm66TlLcNNJ+N8rVPZDObzUZUVBRWrVoFLpeL9PR01NbWWnwc7Nn+ydZu1F27dmHhwoXg8Xijrtk1NDRgw4YN4PF4uO2221BbWwu53LI+ghNFLBY7RBS7urrG7bF4KdcnDVTU+iG3CQbD+OdOWloaTp8+PelzbIFpIoqVlZXQaDSUrCc6OTlRmoqhUqnQ09Nj82r549HQ0ABPT08IBAJK7QIwRVEa1yJsjTXCKJfLkZmZicrKSqSkpCAhIQEcDsem4zIYCCrbBtxnkb72Pe7Ozs5ITEzE/PnzUVlZiczMTLNmjVT0QxzsRm1vt6xl0UhoNBpcf/31uPfee0d8Xa/XY8OGDdBoNMjMzMRLL72EiooKfPbZZxO2bQm+vr6QyWRQq9WU2RQIBGCxWBYXLlgzWwyBMxtN3UqcqR1/phkXFwe5XG7Vei3VTAtRzM3NRXx8vN3dfEbXKZWpGMZycpakIkwUQgjq6+sdEnFKCEFxcfGE1+bGwxJhlEgkOH78OFxdXbF8+XK7dSdp7FZAodGDw2YixIOa8oE+Pj5Yvnw5+Hw+0tPTx1xforJBMI/Hw6xZs1BcXDzh2cU//vEPPPTQQ6MW9Th06BBKSkqwd+9eJCYmYt26dRCLxeBwOJQKFJfLhUgkonS2yGAw4OXlZfEaswuHhSsv5in+YEY9VGdnZ8TGxiI3N9eqcVLJtBDF8+fPU5IY2tnZ6ZD1RKpdp1KpFDqdjnK7wMAMVa/XUyLI4wkjIQQVFRXIyclBYmIiEhIS7HrjVS4ZmCXO8HY1q1qIrXBycjLt37lz51BZWTnisaBKEI2EhoZCq9XavctCVlYW4uLihnhjlixZAh6Ph/Pnz9vV9qU4yoVq6boiAFw/b6BD0O9FrehVjb/+m5SURPnxtIZpIYq5ubl2F0XjeiKVomgsJ0e1ONXX1yM4OJjSCFtg4BiXl5cjOjqaMtujCaNer0dubi7q6uqwePFiSoomGEVxlph6lzUw0D1h0aJFqKmpwfnz5031Kh0hiMBA8MmsWbNQWlpq19qZIyWw+/n5IT093SZRupYgFoshlUoprRXq6emJrq4ui23OCRJhho8rVFoDDhaNL+RJSUn0TJEKDAYDJTNF43oileWzHFFOTqPRQCKROCQNo7a2FhwOh/KqPZcKo3FtSalUIi0tjbKE6vqL4e3h3o7rQuLu7o6lS5eaImy1Wq1DBNFIUFAQ2Gz2sKbEf/vb34b1Lrz0UVZWNiHbhw8fhsFggEajmdB2LGFw+TUqbbLZbMhkMos+x2AwcGX8QO70weLx0zqMojjZg22mvChWV1dDpVLZvTi3TCaDh4cHpeuJbW1tlJeTk0gkcHNzo/zip9VqUVFR4bAapUZhrK+vx7Fjx8Bms7Fw4UJKC6C3yAZaKAW4U9uO7FK4XC4WLlwIJpOJo0ePorGx0SGCCAxceGNiYlBRUTEkReORRx5BaWnpmA9zI6fFYvGwtdS2tjY0NTXBycmJ0pzJweXXqLTp7u5usSgCAwE3AJBRKYVCM3ZHkLi4OPT19Q27wZlsTHlRNAbZ2DoS8FJkMhml3eaNVWyodp06wiYwEEEsFAodUvfSCJfLBZfLhVarhUAgoNx93HxRFP2FjhVFYMB1KRAIoNVqTcfFUfj6+sLV1RXV1dWm57y9vTFr1qwxH+ZeE1JTU1FYWDgk0vXw4cOmSkpUr/EZ1xWpnFEJhUKrRHGWWIAgDxeodQacKJeO+V4ulzslgm2mhShSEWRDZbFeoz2qy8np9Xq0t7dTLooajQY1NTUObfFkMBiQnZ0NZ2dnLFmyBE1NTZT3Y2zvHYh0FAsdJ0DA/9YQW1pakJaWBicnJ2RnZ1ucy2YrjLPFqqoqqxL6GxoakJeXZwriysvLQ15eHvr7B3JCV69ejZiYGNxyyy3Iz8/HwYMH8fTTT2PHjh0IDAxEe3s7pftuTfm1iSISiawSRQaDgTUxA9eLQyXmu1AnM1NeFIuKipCQkGBXG1qtFnK5nFJR7OrqgoeHB6WzlY6ODlMHBippaGiAUCik9AZgMIQQFBQUQKfTITk5GSKRiPJGxUqNHsqLHc09+Pb1eozFpUE1QqEQKSkp0Gq1KCwsdNi4PD094ebmhoYG8xvcGnnmmWcwZ84cPPvss+jv78ecOXMwZ84c5OTkABiYFe/fvx8sFgupqanYsmULbr31Vjz//PMQCoVgs9mUrvExmUy4u7vbpOmxuYhEIvT391t107EmdkAUj5a2Qasf++YhISHBoeeROUx5UayoqBizLYst6OnpgYuLC6W5gj09PZS6awHHtMQyGAyoqalBREQEZTYvpba2FhKJBCkpKabqNPYsIj4SnfKBWSKHxYSrs2M6CYwWZcpms5GcnIyWlhbU1ppXBNoczKk0Mzhw5qmnnsKRI0fw3XffWWTniy++ACFk2GNwWciQkBD8/vvvUCgUkEqleO2110w9Lh2RJmHtzM1ajA2ue3t7Lf7s3GB3eLly0KvSIadubCGPiopCZWWltcOkhCktimq1GnV1dXZvTEr1eqLRJpUzU0euYQJwyDomMBDhW1JSguTk5GHFAqgUxl7lQJCCm4uTQ1zI46Vd8Hg8JCcno7i4GFLp2GtH5jJepRkjn3/+OVpbW/H9998jKCgICxcutIl9czEG4lDpSqdaFCdik8VkYGHEQKpaVs3Y+Y6RkZGoqalxSF1bc5nSolhdXQ0ul2tqtmovqBYonU6Hvr4+Sm329PRAp9NRXte1vr4eISEhlAe1AAM3VTk5OYiLixvVdUuVMBoj91ydqW/RZW4eoqenpylQwhaVXsarNGNEJBJBLBbD398fERERaGlpmbBtS/Dy8qK8g4VIJEJfXx+l+YoTEeLUiIHrhrFB9mgEBQWBxWLZ1ONga6a0KFZUVGDmzJl2v6BS7crs7e2Fs7MzpRF/jujEYXRV2brot7kUFBTA09NzXPtUCKNcM3Dx43GodZ1ampgfEhICd3d3SteFduzYAS8vLyQnJyMrKwvt7e1QKpWU2Td2sGhtbaXMpouLC9hstlXuTGsRCoVWB/csvCiKFxq7x0zNYLFYmDFjBioqKqyyQwVTXhTt7To1GAyQy+WUFsY2umupzk90ROUcX19fu9Y4HY3m5mZ0dHSYXXTc3sKouhhk4+xE3U/Smko1DAYDCQkJaG9vp2TG9vzzz+M///kPDh8+jOuuuw733HMP5HK5VQE3E2GkXEZ7wmAwKHehurq6Qi6XW3VuB3vw4C/kQqsn464rRkZG0qJoL6gQReMdKZUXbqrdtY7oxEEIQVNTk0NmiWq1GgUFBYiPj7coeMqewmhsv8Oi6EZoIqXbuFwu4uPjkZ+fP8yNautKM3//+9+xaNEizJkzB48//jgee+wxfP3112hsbDR7G7ZALBaju7ub0gLhVIsin88HIcSqWTiDwUCqBeuKtCjaCSpEsb+/H3w+n9I1L6oDe2QyGVxdXe1eAGEwfX19UKvVDknWLy0thYeHh1Xl5OwljPqL22Ey7S+KtqhlGhAQAA8Pj2ECZ8tKMyORkpKCI0eOQKlUUrrG5+zsDD6fT6lIiUQiSnMVmUwmeDyeKX/TUhaED6zL59R1jfm+qKioSS2Kjon9thFUiSKV5a0cFWRDpT1gwF3r7e1N6RomMCDGjY2NWL58udXbMArj6dOnAcChRQcsxVbFvY0J9cePH0dERIRpO97e3nZrrQUAeXl54PF4pi71VC5rGGduVHlUhEIhent7odfrKfuduLq6or+/36qb1YQgEQCguKUXBgMZ9QaPninaCaVSiba2NoSFhdnVjlwup1QUe3t7weFwprW7FnBcObnS0lIEBwdP+Du19YzR6WKrqPGSnyeCrbtdCAQCBAUFobS01KrPj1dp5tdff8Unn3yCoqIiVFVV4f3338eLL76I+++/3yG5gxMJRLEGHo9HebANn8+HXC636rPhXnxwnZhQaPSo6Rh9G2FhYWhubqa00LolTFlRbG1tNUWF2ROj+5QqjAJF5cyDanetSqWi9I7bSHd3N9rb221W7MGWwshh21cU7dX+KSoqCm1tbVa5FcerNOPk5IQ9e/YgNTUViYmJ+PDDD/HGG2/g2Wefha+v77Rf4zMG21ApxMaZojWwWUzE+A1UwypuGX3MPj4+YDAYlN/UmMuUFkWxWGz3tT6q3adUp3+oVCqoVCpKbba1tUEkElFeZLq8vBzh4eE2tWsrYXS+KIpy1UBTXWMgSXNzMzo7O6HTjd2BYCzs2Q/RxcUFYWFhKC8vt/iz41WaWbt2LS5cuIC+vj709/cjLy8Pd999N5hMJlxcXCAUCimNCBWJRFAqlZQKsbWFuq1lIqIIAHEBA9eRwqbRRZHNZsPX15fSFBdLmNKi6OfnZ1cbBoMBSqWS0plib28vpQLV09MDPp9v147yl+II12l/fz+kUumEgjxGw1ph1Ov1aGlpQW5uLsoKLgAAuvuUqK2tNV0wGhoacO7cOfz22284evQocnNz0dLSYnaBamsEsa6uDnfccQfCwsLg4uKCiIgIPPvss8PcXQUFBViyZAmuuOIKNDY24s033zRrTLaCaheqk5MTeDwepTM347oiVfD5fCgUCqtv7mZfFMWiMWaKwEATZ1oUbQwVomi8I6Sy5qlSqZzW64mEEEilUspdp7W1tfD397fb7NQSYVSpVCgtLcWhQ4dQUlICHo+HhJiBgDENWFiyZAmSk5MBDLQ1Wrt2LdasWYPZs2eDx+OhuLgYBw8eRGlpKVQq1ah2rJ0hlpWVwWAw4MMPP0RxcTHefPNNfPDBB3jyySdN7+nt7cXq1asREhKCw4cPg8FgoLS0FB999JFZNmyBr68vpFLptC6/5uLiMuZ3bGuM1zprZ8Oz/Qfcp6WtY0cGT2ZRnLLRp1SIokqlAofDoSwdgxACtVpNqVtRJpNRWtrN6JqhMmpQr9ejsbERKSkpdrUzXlQqIQT19fUoLi6Gp6cn5s2bBy8vLzAYDMgUGgBFUGj0I64rcrlciMViiMVizJo1Cx0dHaiqqsLRo0cxe/ZshISEDLNlrct07dq1WLt2renv8PBwlJeX4/3338drr70GAPj666+h0Wjw2WefgcPhwNfXF4QQPPvss9i+fbulh84q3NzcTMU1qFriEIlElHav4HK5UKlUIIRQEmfAYrHg5OQElUpl1XUozGvAq9aj1EKm0EDEGznNazKL4pSeKdq75qm1J4a1OGJm6og+kW5ubpTmfba2tsLZ2ZmS1lSjzRgVCgWysrJQUVGB+fPnY8GCBfD29jZd6Ny4TmBfDGHv6B/7Lp3BYMDb2xupqamYN28eysvLcebMGVPStT3WEHt6eoYcv6ysLKSlpZlyWz09PeHs7EypaDCZTLi5uVE6c6M6AtXZ2RmEEEojNY1CbA08Dhs+goHrV32nYtT3+fv706Joa1paWihxn1IpiiqVCk5OTpTlJGk0GsqDbByR/tHa2oqAgADKInovFUapVIr09HTweDwsX758xBwwJpMBL9eBi4mx2bA5+Pr6YsWKFeByuUhPT0dHR4fNBbGqqgrvvPMO7r77btNzEolkiAvcGCm5YMECStf5qHZnikQiKBQKyro8sNlssNlsSl2oXC53QsFEoZ4Ds8W6ztHTMvz8/Cgv7G4uU1YUqXKfUi2KVNpTKpVgs9mUBtlQXSjAYDCgvb2d8sAeozDW1dUhKysLs2fPRmJi4pjH2sdtQBTbei27ADo5OWHOnDmIiYlBZmYm6uvrRxREa0qwNTc3Y+3atbj++utx1113jTkOPp+PuXPnUr7GR+XMzXjTSmVB8omKlKU4OztPSIRDPHkAgIYxZoqT2X06ZdcUOzo67J6jqFKpKHVlOmJmSqU9QghkMtm4rYJsSUdHB9hsNuX9MIGBmbjBYACLxTJF9I01WxW7cVGAHkgsFEVg4NjK5XKw2WwYDIYR3W2PPPIIbrvttjG3Mzg6t6WlBcuXL8fChQuHBdCMVCBbJpNBo9FQGigmFApRVFRE2Zobg8EwuRfd3Nzsbg+YmDvTEfZCvYwzxdFF0dvbGx0dHVbbsCdTVhT7+vrsHqxB5YlvtDedRbG/vx+EEEqDbIzpH1SXYVOr1Th37hxmz54NLy8vs0rC+YsGxKRFZtkFafAaYlpaGtrb23H27FmsWLFiSD1bS0qwNTc3Y/ny5UhKSsLnn38+bA04NTUVTz31FLRarWn2e+TIETAYDMybN8+i8U8ERwTbUD1zc4QoTkSwgjwGZoqN3aOLokAgoLR2rSVMSfcpVT8CjUZDaZHs6T4z7enpoTzIpqOjwyFFxwsLC+Hu7o7Q0FCz0zX8RQPfRYvMfNfcSEE1YWFhEIlEVvc8bG5uxrJlyxAcHIzXXnsNUqkUEolkyFrhn//8Z3A4HNxxxx0oLi7G999/j3/961+IjIykdAbAZDIhEAgoD36ZSjM3S+FwOBNaM/W+uDbeOUbAmLFIAJWudnOZkqJodEXZe8ah1+vBZlM3mXbETJHqHEwej0eZPUcUVwcG3I7t7e1DejWaI4z/mymaJ4qjRZkaex62tbVZtW5z+PBhU7pHYGAg/Pz8TA8jQqEQhw4dQm1tLZKSkvDII4/gmWeewfXXX095x3gej0f5Gh/VuYNU2mOz2ROqoOTpOjCR6JSPHjErEAig0+konXGby5QURWOum71nijqdbtqL4nS219vbC2dnZ0pt6vV6FBQUIC4ubpjd8YRR5DJwMWntGf8COF7ahYuLC2JjY1FQUGB29Rsjt91224jl1y4db3x8PDIyMqBSqdDU1ITHH38cLi4ucHJyorQKy1Rbc7PGHpXiMWFR5A+cxzKFFrpRavkaJzQTKSlnL6akKPb19YHD4djdtUmL4tS254ji6k1NTeBwOAgMDBzx9ZGEsV+twysHyrDl02wAQLdi7Jw0c/MQg4KCwGKx0NTUNLGdsgAGg0F5vU5HrPFN5zXFiYqiiMeB8SfXNcq57OzsDBaLNSnXFadkoA0VQTYAtaLoiGo2090e1cXVgYFycuHh4WMK8eDKNw0yDXaf7jZF6oV48nB3WsSon7UkMZ/BYCAiIgK1tbUIDg62fqcshOo0CWdnZ0ilUsrsOWpmSlWE7URFkcVkwJ3HQZdcgy65Bj6C4b95BoMxaYNtpqQoUtG5wmAwwGAwUCaKOp0OhBDKAnsIIZSvKVJtT6FQUFrCrqenB/39/QgICBj3vQKBAIHRc/HnT86hVwv4Cbl47qrZWB3jCwaDMWKggzWVagIDA1FUVITe3l7KIqmp7lDvqDU+qkSKw+HAYDBQFuPAZrOh1+sntH8e/Iui2D+612OiHTnsxZR1n9p7pmi8U6JKFI3rPlRFZup0OhgMhmntPqXanlQqhbe3t1nFEDQ6Ax7/pRy9WiDIFXhjjY9JEEfC2tJtTk5O8Pb2pnQmNd2jM7lcLvR6/YRmU5ZgPCeoitQ0XvMmsn8uTgNVuVS60QOuJutM0eIr8MmTJ7Fx40b4+/uDwWDg559/HvJ6f38/du7cicDAQLi4uCAmJgYffPDBkPeoVCrs2LEDnp6ecHV1xXXXXTcsEXjfvn2IjIxEVFQU9u/fP+Q1KjpJGE8IqkquGU94qta/jNGBVO2fVquFXq+f1tG1lpSw+09OI4pbeiHiOeGL21PQ0948alTqRGuZUl0KzREipdPpKBMp42/G0gAmazHeKFNlz7h/EzmexqbZGt3oY+bxeFAoRs9lHIs9e/YgNDQUXC4XKSkpOHv2rOm18vJyLFq0CIGBgfjnP/9p8bYtFkW5XI6EhATs2bNnxNcffvhhHDhwAHv37kVpaSkefPBB7Ny5E/v27TO956GHHsKvv/6K//73vzhx4gRaWlqwadMm0+tqtRo7duzAe++9h3fffRf33nvvkAodxioh9oQQAiaTSZlIUS2KVNsz/sCoKilnvEg6IrBnPAgh+PRULQDgwZUzEeHvNWpUqi2Ke1NdxJrL5ZpugqjAeE5N15kb1faMIjwRexzWwDbUY4gik8m0ysb333+Phx9+GM8++yzOnz+PhIQErFmzBu3t7QCAnTt3YsuWLfjll1/wyy+/IDMz06LtWyyK69atwz//+U9ce+21I76emZmJrVu3YtmyZQgNDcX27duRkJBgUvKenh58+umneOONN7BixQpTxYzMzEycOXMGwIAoslgsJCYmYs6cOWCz2UOivQwGg93djFQnlRr991SK4nS2Z7yJomqNVqfTQS6XmxXYUy2Vo7ZDDg6biT/NCwIwerpGeXn5hIt7i0Qi9PX1USYaxtk5VZ0dprtIUW3PaHNComjGTJHJZFp14/TGG2/grrvuwrZt20yeSB6Ph88++wwA0N3djaSkJMTHx8Pf399iL4nNlWXhwoXYt28fmpubQQhBeno6KioqsHr1agBAbm4utFotVq1aZfrMrFmzEBwcjKysLAADpZu2bdsGPz8/+Pv749577x2yhkjVTJHKUH6DwUDbs7E9Kmf6RgEwx117tHRgqYABwNX5f2vWlwojMFBdZqLdLoyzZao6Oxhvfqhy99H27GPTJqI4Sp4iMCCKlu6TRqNBbm7uEP1gMplYtWqVST+ef/55rFq1CjweD0wmE2vWrLHIhs2jSN555x1s374dgYGBYLPZYDKZ+Pjjj5GWlgZgoBYlh8MZ5mby9fUdUkbq2WefxYMPPmgq4zQY44G054/ceFdN1YVEq9WOGnVI25v89tRqNZhMplmzsQ9PVg98RmcYNj4ul4vk5GRkZGQAAObMmQNnZ2eb7IdMJqM0xai3t5fSaGranu0wGAym4hfW4HRxuqVUa0c9d7OysjBz5kzceOONZm+3o6MDer1+SNsyYEA/jB1e1q9fD6lUit7eXquaRthFFM+cOYN9+/YhJCQEJ0+exI4dO+Dv7z9E3c1hNFcUg8FAT08Pfv/9d1sMeUyosEHbu7zsuTNZ6ALDrPcblxRsweBgBCqg7U1te+fOnbP6s80tTABMlJWW4Pfu4lHfZ6+OOc7OzlZ3UbKpKCqVSjz55JP46aefsGHDBgADpaDy8vLw2muvYdWqVRCLxdBoNMOCEtra2szueWecPa5fv96Wwx9Cf38/Tp06hbVr19rNxmAUCgVOnDiBdevW0famoD2VSoVjx45h7dq14653u0V2Ytu/cxEo4mL9+jTT84QQlJeXo7m5GXPnzkVWVhY4HA6CgoIQGRlptStYr9fj4MGDWLlyJWXRuL///juWL19OWRsp2p5t+eOPP5CWlgY+n2/V53/uOg90dWBOfBzWzxu5ulNKSorFRSW8vLzAYrGGZStYoh/jYVNR1GoHpsqXXhRYLJbJ5ZmUlAQnJyccPXoU1113HYCBYIKGhgakpqaaZcfoi7ZnJKNx21RFSzo5OYEQQrk9NptNybob1fa4XK4pgpiKtJPBHdLHC7aZH+4FJxYDTTIVytoUiAsUmqJMW1pasHjxYpN4LViwANnZ2WAymWO2nRqL/v5+ODk5gc/nU3LsjS5kLpdLyflsXPtycnKi7dkQDodjtT1jfI2L8+hjJoRY/NvkcDhISkrC0aNHcc011wAYcPUePXoUO3futGqsl2KxKPb396Oqqsr0d21tLfLy8uDh4YHg4GAsXboUjz76KFxcXBASEoITJ07gyy+/xBtvvAFgwCV6xx134OGHH4aHhwfc3Nxw//33IzU1FQsWLDBrDNYs0FrKRBearbEHUBfgQ3V/wcG5VlSIFIfDAYPBgEqlsvpu1xIG1/wcTxRdndlYF+uHffkt+NfRSnx8a9KwtAvjOoyrq6upJBwwdj/G0TCWu6PqO1epVGAymZRdwI0RjFQVvjBeF6azvYle+4ypGM7s0X/r1mYRPPzww9i6dSvmzZuH5ORkvPXWW5DL5di2bZvV4x2MxaKYk5OD5cuXDxkgAGzduhVffPEFvvvuOzzxxBO4+eab0dXVhZCQEOzatQv33HOP6TNvvvkmmEwmrrvuOqjVaqxZswbvvfee+YNms+0eQMFisUAIoST9AxiaG0TFxcsRIgWAss7sDAYDzs7OUKvVlIgi8L8k+ZCQkHHfe/+KGfi9sBVHStvw2s9nEM/rHTXKdHCtVMByYbSkqIAtMBZNoEqE1Wo1GAwGpUEoAHU3lo6yN5HrgjEVwxiFOhJardaqwK8bb7wRUqkUzzzzDCQSCRITE3HgwIFhwTfWYvGIli1bNuZdhFgsxueffz7mNrhcLvbs2TNqAYDxoKJm3uBSR1T82IwnPFUibNw/qkSKyWTC2dmZkmpERqiurOLu7o7y8nKzbmxm+grw4KqZeO1QBd7L7sJDK8NxBW908bZWGAkh6OzsRHR0tGU7MwEc1ReUKtEw3pBTGckLUF9oYyL7Z44oTqSG9c6dO23mLr2UKVn7lIqaebYodWSNPaqqgLBYLHA4nGnfcofK5rO+vr5QKBRmVY8hhGCZjxrLAhggAN44WoNr3juNX/Ka0a8e+Zwzp1HxpchkMqhUKvj4+Fi6O1ZDtShS3X3FKMJU1ikGqCvJqNPpwGAwJrR/PcqBGwcBd3RhparbkaVMSVGkYqbIYDAm3ELFElgslilQgyqoLtxMtT2qCw6z2WwEBASgrq5uzPcZg2qam5vxzm1L8MI1sXB1ZqOgqQd/+S4PK147DrV25JsjS4WxtrYWAQEBlPYF7e3tpfRiN90LzavVanA4HEpFeKIBcV3ygWIWxobDI0FFtyNrmJKiKBAI0N/fb/dAGCpFEbg8OohTaY/qQtgAEBERgcbGxlH389JapgKBALcsCMGxvy7F3UvDAQDtfWrINWN3FzBHGJVKJZqbmxERMXp/RnvQ09PjkDXM6WyPShGeaB9ZhUYH5cWbOk/XkY+TXq+HQqGgZ4q2QiAQgBBidYV1c2GxWLQoTmF7QqEQvb29lLmkgYEShX5+figoKBgmVmMV9/YRcLFpzkA+lxuXDXfe2JGb4wkjIQQFBQXw9/en9MKj1+vR19dHuShO55ki1SI8UVHsvNhDkcNmgs8Z2eUrl8sBgBZFW2G8mNjbNXY5zBSpXuOjcv94PB7YbDZ6e3spswkMVOno7OxEc3Oz6Tlzul3UdQ5cKEK9zMsnHEsYm5qa0N3dbbeKIaPR09MDJyenaS9S03nNdKKiaHSdevE5o57Hxms3VZHhljAlRZHD4YDD4dhdFJ2cnCgXRSpFiuo1PldXV0rX+BgMBtzd3dHV1UWZTWDguCYkJKCgoMDUod2c9k/1RlH0NP9CMZIwKpVKFBYWIiEhgbI0BSNdXV1wd3enNA+2r6+P0rUpRwT2TCVR7JQPXMM8XEc/9/r6+sDj8SgLHrIE6lbfbYxxXdGeOKKDeGdnJ6X2qF7jUyqVUKvVlLmDfH190draSvm6mr+/P1pbW3HmzBl4enqipaVl3G4XtR0DywGhnjyLbA1O19Dr9ejo6ICfnx/8/PwmtA/WIJFIEBAQQJk9lUplVhUhW9ukek2R6sCliexfi2zgmuIrGF3I+/v7J6XrFJiiM0VgYO3G3kEU033mRrUoGkuNUdnwViwWo7Ozk7JuGYNJTEyEVqtFbW0tkpOTx53NNHQNzBSDLZgpGhEIBEhOTkZtbS10Oh3i4+OtGvNE0Gg06OrqslkNSnPo6ekBn8+ntPzZdHfXTtSe0eMRMsZ5LJPJ4ObmZrUNezJlRVEsFg9pNWUPpnsgilH0qSxnZyyFRhU8Hg8CgWBYAWF7QwhBWVkZ9Ho9PD09kZeXN65nQ9Iz8N37Cy2/IPX39yM/Px+enp7Q6XSmIgJU0tbWBjc3N8qKMwDUV+sxGAwOy4ukionuX13nRY+H1+geD4lEQunNkyVMWVH09/dHS0uLXW04YuZGpUi5uLiAwWCYIsGowBFpElTcQA1m8Bri4sWLkZqaCk9PTxw/fhzV1dWjfr/tfQNeCR838y+AhBBUV1fj+PHj8PLyQmpqKhYvXmxRgr+tcMSFjmpR7O/vB4vFokwUCSFTToTNmSm2tLTg/9s77/C2yrP/fyXZsuUlect7bzsecezEjmOHhCQkJIy2lBEooy8tJUBpSykt0Bd+0FBaSmmhUGheQhtmGU2chEAgnrHjETveey95y1rWPOf3hyPVGXY8pHNk+/lcl67ElnTuR7J0vue+n3v4+vou2YYlWbGi6OPjg6GhIYvaYNpzs7OzA0VdOXjWUnC5XEbC0LMRiUSMhk8BwM/PD0NDQ9BqtRa3dbWkGi6Xi3Xr1mHjxo3o7OzE2bNnr3jP1ToD5OqZpC7PefZiZjM5OYni4mJ0dnZi48aNSEhIMI1VW2znm+Wi0WgY308EmBfFqakpuLi4MFZIr9VqQdP0igmfUhSN3olr740PDQ2xsue9EIgozgPTnputrS14PN6qLnAXCoVQqVSMCJQRFxcXiEQi9PX1WdTOtbJMPTw8sHXrVohEIhQXF+Ps2bPo7++HXq83tcXicTlwmac1ll6vR19fn+n5bm5u2Lp1Kzw8PC55HNPC2NfXB1dXV0aTJzQaDeNJNmw0VzeeF5hguZ7piFwDtY4Cj8uBr2juMLo1i+KKzT718fHBN998Y1Eb9vb2MBgM0Ov1jG3kG71TpjahRSIR+vv7GbEFzJTTODk5YWxsjNHwSXBwMFpaWhAaGmqRcoGFll3Y2NggPj4ekZGR6OnpQUtLC6qrqyHnzDzeic/F2NiYScTGx8eh0WgglUohlUohk8ng6OiIwMBApKWlzVtysdzpGguFpml0d3cjOjra7Meej7GxMTg7OzOaZCOVShc9GHc5ML2fqNPpQFHUkkWxZXim5CrIzQG2vLl9LiKKFsDHx8fie4o2Njbg8XiYnp5m7Ivn6OgIhULBWANnoVCI+vp6xkZWAf/d42NSFH19fdHQ0ICRkRGzjZgxslBBnA2fz0dERATCw8OhVCpR1DQAoB32XBoXLlwwdeGpq6uDg4MDRCIRwsLCIBKJFjUsmAlhHB4ehsFgYHyPiOk9TJqmGW9hp1AoGC1wn56eNg3MXgr1AzNbI3F+83vvg4ODViuKKzZ8aqwDsyQcDoeR5uOzEQqFjO65ubi4gKIoRpNtxGIxhoeHGU0C4fF4CA0NNXtW5lIEcTbGz5ij0A0A4OriiOuvvx7btm0DMDOqLTMzE3FxcfD394eTk9OiRc2SoVSapk0eOFP7bMBMFujw8DCjomjst8xkiJgNEV5OIwSjKCb4zR/pGhoaIok25sbHxwcymczi/U+dnJxWdXamMdmGSSF2c5sRAKY7zYSGhkKlUpntYmq5gjgbncE4qdwyX0lLCePg4CDUajVCQkLMcryFMjExAS6XC1dXV8ZsSqVSCIVCRsXfaJMpliuKdRdFMd537jXL5XIolUriKZobd3d38Pl8i++HGcOZTCESiSCXyxltYs20EHM4HHh7ezNaJgHMhMOjoqLQ1NRkmi6+VMwpiMDChrIuF3MLI0VRaGpqQlRUFKOjqYCZ0Km3tzej7eSmpqYYFSi9Xs94c3WlUrnkcK1UpUX/5Mz80vnCp/39/RAIBIy+rsWwYkWRy+UiPDwcbW1tFrXDdPhUIBDAxsaGUc+N6YJ6gPnaQSNBQUGgaXpZmajmFkQA0FMzAsW18EnenMLY29sLAIwmngAz7/9aqImUyWSws7NjtBxjOZ5i/cBM4/1ANwcIBXPnYLS1tSEiIoLRC5rFsGJFEQAiIyPR2tpqURtMh085HA7jtXxGe0zu8Xl6ekKlUjF6wQHMXEzFxsaisbFxSS38LCGIwEwpxszxzXK4eTGHMKrVajQ1NSEuLo7RcCIwc+Kenp6Gp6cnYzbZSLIxhk6ZFI/liGJlz8x2yDr/+b3p1tZWREZGLskGExBRvAaOjo7QaDSM9s5kOpzp4uICmqYZtWlrawtPT89LxisxhY+PD9zd3VFbW7uo51lKEIH/eogGhi5MliOMxlmNHh4erOwLDQwMwMvLi9GQ7eTkJDgcDqNJNkx7plqtFjqdbsnh09KOmWEGm8Lc530cEUULwoQoGsdUMb2vyHSyDRt7fIGBgejp6WG8RyeHw8G6deswNja2YFG2pCACgC1vRhT1huXtdS6GpQrjwMAAxsfHWWk6TtM0enp6EBQUxKhd4x4m00k2TGee2tnZLan8TK0zoLpXCgDYFEpEkTWYEEVg5uTB5KBaoVDIeLING3t8YrEYFEVhZGSEUbvATJOEhIQE08zD+bC0IAKA4OKEcpWWub85sHhhVKvVqK2tRWJiIqNF5UaMjd2ZquM1wvQeJhtJNjKZbMme8PmeSWgNFMQu9gjxmN/TJKJoQSIjI9Hf32/xPT+mPTc2JsZ7eXlBLpdbvMRlNlwu1+QtsoGfnx88PT1RWVk5ZzYqE4IIAI78mVAg06IILFwYDQYDKioq4O3tzVqNWU9PDwIDAxn12JRKJaMNNYAZgeLz+Ywm2SzHMy3pGAMAZIS5z7sHKpfLMTQ0RETRUnh5ecHFxQXt7e0WtcN04osx2YZJIebz+XB3d2fcWwwODsbw8DCjYmyEw+EgKSkJer0etbW1V4gBU4IIAI52M6Iom2Z+7iNwbWE07iMaDAYkJiayskalUomRkREEBwczalcikcDDw4PxdnIikYjRJJvlieLMfuLGa+wntrW1wc3NDe7u8z+OTVa0KHI4HERGRlq8LMPYZWa5tW1LsckkbIRQHRwc4O3tja6uLkbtGrGxsUFaWhokEgm6u7tNv2dSEAHA03kmFCnX6KHWMe8tAvMLY2dnJ4aHh5Gens54TaKRrq4u+Pj4MDqvEVgbI7EoioJcLl9SHeaYQoMLfVIAQGa4x7yPtfbQKbDCRREAoqOj0dDQYFEbxvE/crnconZmIxKJMDk5yZg9YEYUx8bGGJ9SHxYWhp6eHuj1ekbtGnFwcMCGDRvQ0NBgaj/HpCACgIu9DextZ76OI7LFl4qYi6sJo0QiQVNTE9LS0hgXJCM6nQ49PT0IDQ1l3O74+DgroshkowCZTAYul7ukzNNvm4ZB00C8nwv85pmMAQCNjY2Iiopa6jIZYcWLYnJyMqqqqixqg8PhMF7g7uHhAblcjunpacZsOjo6wsnJifHEFzc3Nzg5OaGzs5NRu7Nxd3dHcnIyKioqUFlZyaggAhe7/LjM7B8Ny5kbHXY1ZgtjZWUlKisrkZKSYmrPxwadnZ1wcXFhtK0bMJPY4+zsDAeHuWcDmhtj/e7l48AsyXLCtV81zCQ/7Yy99oXD+fPnkZKSsmgbTLLiRXH9+vU4f/68xe0wva9oZ2cHV1dXU7YdU7ARQuVwOIiJiUFbWxujcxYvx9fXF+7u7hgcHERMTAxjgmjE++Jw4WEZu6IIzAhjdHQ0BgcHWatHNKLRaNDe3o7Y2FjGu6CwETodHh42tbFkiqU2JlBo9Chum0my2Rk///tE0zTOnz+P9evXL2WJjLHiRTE5ORmDg4MWF4+10grNOMGCyXIQYKbDjZubm8X3h+fCGDKVyWSIjY1FbW2txaewXI6ny8y+4jCL4VMjQ0NDqK+vR2xsLKRSKSODiueitbUV7u7ujCdnGAwGxidxAOwI8eTk5JLCtfktI9AaKIR4OCLCa/6LyMHBQYyOjiIpKWmJq2SGFS+KLi4uiIiIsLi36O7uDqlUyui+l1gsxujoKKM2XV1dwefzWelLGhMTg66uLkZDxsCVSTURERFISUnB+fPn0dbWxpgYiC+GTwelzL7+2dA0jdbWVtMVfUREhMXGTi0ElUqF7u5uxMTEMGoXmLkwsLe3ZzThRafTYWxszOwzP69lUyaTLemi41T9zHliR9y1m7OfP38e0dHRjM6HXAorXhQBZkKoDg4OEAgEjI47cnJygkAgwOjoKGM2ORwOa7WDIpEIYrEYzc3NjNmcK6nG19cXmzdvRmdnJ6qqqhjxnMM8Z2y3jTDbD9aIXq/H+fPn0d3djaysLFPI1JLzGK9Fc3MzfH19GU06MWLsnMNkyHZ0dBQODg6Mhu4nJiZM57fFMDWtw+nGmQjd7vhrh9dXQugUWEWiaOlkG2DGWxwbG7O4HSMcDoeVEGpgYCDGxsYYbYRuJDo6Gv39/Yw0LrhWlqlIJEJ2djaUSiWKi4st/n5EiWe6ibRImGvaYMT4Gqenp5GdnX2FCLEhjDKZDAMDA4iOjra4rctRKBSYmJhAQEAAo3bZCJ2OjY0tyUs8XjsIjZ5CpLfTNZuAA0BVVRURRaYwhrosjYeHB6OiCLAzpd7e3h5isZgVb9HJyQmBgYFoaGiw6GteaNmFvb09MjMzIRKJkJeXh87OToutK9J7Zg3DMg2kKmbKYmiaRmdnJ/Ly8uDm5obMzMw527cxKYw0TaO+vh7BwcGshNt6enogFosZbWVH0zQre5hjY2NLynT9d+XMLNvvrQ9YkDe9EjJPgVUkin19fRYPM3p4eDC+r+jm5gaKohivWQwODkZvby/jCTfAzN7i1NTUsmYezsdi6xB5PB4SExORnp6O9vZ2lJSUWMRrdLa3NdV5tY5YviZWqVTi7Nmz6OjoQHp6OtatW3fN9mlMCWNvby/kcjkrXqLBYEBvby/jTceNWzNMlr7odDpIpdJFi2L7iBwX+qTgcTm4Odnvmo8fGhqCRCJBcnLyUpfKGKtCFIVCIaKiolBaWmpRO2zsK7I1wcLT0xM2NjYYHBxk1C4w03IuMTERdXV1Zk+6WU5hvqenJ7Zu3QonJyfk5eWhubnZ7I0Ooi+GUFuHLbevqNPp0NTUhLy8PDg7O2Pr1q2Lmk1oaWGcnp5GfX09kpKSGG2tZqS/vx98Pp/ReY3AfydxMLmHOTExAUdHx0XvJxq9xK1RXqZuTPNx7tw5VsqclsKqEEUAyM7ORkFBgcXtML2vCLBXOxgaGoqOjg5WUvF9fHwgFotRU1NjNvvm6FRja2uLxMREZGRkYGxsDN988w06OjrM5lEb9xUbBs3vKRoMBrS3t+Obb77B+Pg4MjIykJiYuKS2bZYSRpqmceHCBfj4+DCagTnbfmdnJ8LCwtZETeRSQqcavQGfVV0Mnab6L+g5+fn5yMnJWezyWGHViOLWrVuRn59vcTuenp6MZoMCM43PFQoF44kvgYGBUCqVjHrGs0lISIBUKjVLGNXcrduM+28pKSno7e3Ft99+i46OjmV7jqnBMx1bKrrNFy7X6XTo6OjAt99+i76+PqSkpCAzM3PZYTpLCGNvby9kMhkSEhKWfaylMD4+junpafj7L+xkby4UCgVUKhXjI7FGR0cXLYpHLwxiTKGFj9Ae10UvbL1EFFkgOzsbFy5csHiBvZeXF6amphitpbO1tYWHhwfj3qKNjQ2CgoJYa7/G5/ORlJS07DCqpXqZcjgceHt7IycnB7Gxsejv78fXX3+NmpqaJXc/Sg12A5cD9EyoIF1mDb9UKkVNTQ2++uorDAwMIC4uDjk5OWYN0ZlTGFUqFathU2CmnVxQUBDjTc+NkziYtDs9PQ2ZTLYoIaZpGoeKZpr335sRDFvetSVkfHwcdXV1yM7OXvJamWTViKKPjw8iIiJQVFRkUTtstV/z9fVFf38/ozYBIDQ0FBKJhNHZjrMRi8UQi8Worq5e0gmXiebeHA4H/v7+yM7OxqZNm0BRFIqKinDmzBk0NjZiYmJiwWt3sbdFgt9MenubbHHCRdM0JiYm0NjYiDNnzqC4uBgURSEzMxNbtmyBn5+fRUKC5hBGmqZRXV0NX19fVsKmwEyrs5GREcabjgMz+5hMz6iUSCRwc3NbVDu54vYxtAzL4cDn4fa0wAU9p7CwELGxsYx7wUuFnRkwFiInJwd5eXnYu3evRe0Y9/iYnOvm5+eH+vp6TE1NMVrI7ODggODgYDQ2NmLjxo2M2Z3NunXrUFhYiMbGRsTFxS34eWxMu3Bzc4Obmxvi4+MxMjICiUSCc+fOgcvlwsvLC66urhCJRHBxcQGPx7vqMTaGuqOmfwrt1xBFg8EAmUwGqVSKyclJjIyMgKIoeHt7IyoqCl5eXox5XEZhPHv2LICZDOLFCHBDQwPUajXS0tIstcRr0tjYiODgYMYngUilUigUCvj5XTuL05wsZQ/zHxe9xNtSAyAULOyzlZeXt2JCp8AqFMWXX37Z4naMXVf0ej1j4Q5bW1v4+fmhu7ub8SGvkZGROH36NMbHx1kZDmpra4v09HQUFhbCxcVlQQXVbAjibIx/Lz8/P1AUhYmJCYyMjGBoaAhNTU3Q6/VwdnaGs7Mz7O3tYWdnB3t7e9jb2yPOc+bKvX2KYyrF0Wg0UKvVUKvV0Gg0kMvlkMvlsLW1hVAohEgkQmpqKtzc3BidSj+bpQpjb28vent7sWXLFtbCpmNjY5iYmGCluLynpwf+/v6Mhk6N7eQWs3fbOixHQesoOBzg/syQBT8vPz8fzz777FKWyQqrThTvuusuTE5OWnTEzOz2a0xODwgKCkJpaSni4uIY/QLZ2dkhPDwcjY2N2Lx5M+NZecDMe56amory8nI4OTnN+/dlWxAvh8vlwsPDw5TQQNM0pqenIZVKoVQqoVarIZVKTYJHaw3gcoAxDQdfnq2Cn7PNJcIpFArh6+sLkUgEgUDAyt9jLhYrjBMTE6itrUVaWhprfyfj5yU8PJzRyRTATGu9/v5+ZGRkMGp3Ke3k/nqmHcDMiKhA94WN0hobG0N9fT22bNmypHWywaoSRbFYjMjISBQWFuKmm26ymJ3Z7deYFEVXV1cIBAIMDg4iMHBh8XxzERYWhq6uLlY6bhjx8vJCdHQ0ysvLsWXLlquGuaxNEK8Gh8OBg4PDvDP6Ph08h6L2cUidQvCD7dY9lPVyFiqM09PTKC8vR0xMDKv7TUNDQ1CpVAgLC2Pc9sDAABwcHBhtOg4sPnTaNCRDbs1MzfKj2yIW/LyVtp8IrKJEGyPbt2/HqVOnLG6HjfZrHA4HQUFBrLRfs7W1RVRUFBobG1kbIQTMiLOnpyfKy8uvqA1cCYK4UG6In0k2OdXAbEKXubhW8o3BYEBZWRm8vb1ZSWwxQlEUmpqaEBUVxXjGKcBO03GKohZ9cfvq6VYAwJ4EH8T6uiz4eV9++SW2b9++6DWyyaoTxX379iE3N9fiJ25jjRfTNYsBAQGYmppidOCxkeDgYBgMBou1X1sIHA4HiYmJ4HA4OH/+PCiKArC6BBEAtkV7gQsaTRI5useYb8xuDuYSRoqiUFlZCR6Ph3Xr1rEa/u3r6wNN04y3dANmEmxkMhnjTcdHR0fB5XIXXKda1z+FrxuHweUAj1+/cC+RoigcP34c+/btW+pSWWHViWJ2djZkMhmqq6staofL5cLPz4/xMgk+nw9/f39Wage5XC6io6PR3NzMSk9UIzweDxs3boRSqUR1dTUoilpVgggAbo58RAhnRORkPbPDjs3J5cJIURSqqqqgUqmQnp4+ZwYuExgMBjQ3NyMmJoaV5KSOjg4EBAQwnlzU398Pf3//BV+MvHK6BQBwc5Ifwr2cF2ynsrIS09PTyMrKWtI62WLViSKfz8euXbuQm5trcVsBAQEYGhpitEE4MFM72N/fD42G+Qnt/v7+sLW1RVdXF+O2Z8Pn87Fp0yZIpVLk5+ejr69v1QiikST3GVE8XrNyRRH4rzD29PQgPz8fMpkMGRkZjCe1XE5nZyfs7OwYrw8EALVajcHBQcZDx3q9HkNDQwvu2FPSMYb8llHwuJxF7SUCQG5uLm644QbWMoqXyqoTRQDYu3cvjh07ZnE7QqEQ9vb2jBfyu7i4wN3dHd3d3YzaBWbCl/Hx8WhpaYFKpWLc/mzs7Ozg4eEBhUIBNzc3q5/ovVjWudGw5XHQOCRDTZ+U7eUsC0dHR7i6ukKhUMDDw4N1QVQqlWhpaUF8fDwr4dvu7m54eHjA2Xnhnpc5GBoagoODA1xcrr0vqDdQeO5YIwDgzrRABHss7vt17NixFRc6BVapKO7evRs1NTUWD20aO5mw1Wmmq6vLtKfGJJ6envDz81tylxlzYNxDlEgkyMzMhFwuv2SPcTXgZAvsjp9JhjhyjvnkKnNBURTOnz8PlUqFjIwMDA4OMjao+GoYu+cEBAQsaY7gcjEYDOju7matc85CQ6dHzvWgZVgOkYMtfr4jclF2enp60NjYiF27di11qayxKkXR3d0dGRkZOH78uMVt+fv7Y3h4mPFQpre3N2xsbDAwMMCoXSNxcXFQKpWseKuXJ9W4u7tj8+bNkMvlqKioYDycbUnuTJtJwjhWMwipSsvyahaPTqdDeXk5lEolMjMz4eHhwdig4rno6urC9PT0orojmZOBgQHY2toyXqagVqsxOjq6oNDpuEKDP13MOP3FjiiIHBbn2efm5iIrK8ui9eKWYlWKIvDfLFRLYwwLMT13kMPhIDw8HK2trax4R7a2tkhKSkJDQwOj0zvmyjK1s7NDZmYm9Ho9ioqKWA/tmovkACFifFyg0VP49DzzEYnloFQqUVRUBIqikJGRYZpiz9Sg4rnW1NjYiOTkZFZKMCiKQmtrK8LDwxkP2w4MDMDNzW3e+lgjf/y6BTK1HnG+LrhjgT1OZ5Obm7siQ6fAKhfFb7/9FnK55SeYBwQEoLe31+J2LicwMBA0TbNWIuHl5YWAgABcuHCBkRPbtcoujMk37u7uKCgoYHzupSXgcDi4e+NMucCRcz2gKPZqRBfD6OgoCgsL4enpiY0bN16xh8iGMBrDpoGBgayETYGZlnYcDofxMgyaptHb27sgu9W9k/ioYuac8ty+OPC4ixPvqakpRnpQW4pVK4qRkZGIjo7GF198YXFbfn5+kMvlFh9bdTlcLhcxMTGslkjExsYyEkZdaB0il8vFunXrEBMTg3PnzrES3jU3NyX5wtnOBt3jKnzdyOz4sKXQ1dWFsrIyxMbGIiEhYc5yB6aFsbOzE9PT04iNjbWonbnQ6/WslYBMTk5CpVJds+m4WmfAL/5dA5oGbk3xQ2rw4mdufvbZZ1i3bh0rHYLMwaoVRQC46667cOTIEYvbsbW1hb+/PysnYF9fX9jZ2bE289DW1hbJyckWDaMupTA/ODgYGzduRFNTE2pra1d0Ao6jnQ3uzQwGAPz5mzar9RYpikJNTQ1aWlqwadOmBRXEMyWMCoUCTU1NrIVNgRlRFggEjLaGNLLQpuOvnm5Fx6gSns52ePbGpV08HDlyBHfdddeSnmsNrGpRvOOOO5CXl4ehIcvXeQUHB6O/v3/Zk9cXC4fDQWxsLNra2hi3bcTT0xMBAQEWyUZdTqcaDw8PZGdnY3x8HEVFRYyE0i3FA5tD4Gxng2aJHF81WJ+3KJPJUFRUhMnJSWzZsmVR01QsLYzWEDbVarVoa2tDbGws43uJOp0OAwMD1xx1V9U7iXeKZi6uD96SsOjkGmAmu7WoqAi33377UpZqFaxqUfT390dWVhY++ugji9syzshjY3/P09MTQqEQbW1tjNs2Ehsbi+npabOuwRyt2xwcHEwn6YKCArS1tbHau3WpiBz4uO+it/jat9bjLRoTRwoLC+Hh4YGsrKwFJXJcjiWFsbW1FWq1mrWwKQC0tbXB1dUVnp6ejNvu7e2FUCicdw6rMWxK0cCtyX7YHru0Qc8ffvghtm7dyoo3bC5WtSgCwP79+/H+++8zYiskJASdnZ2Mn3SN3qJxz4QNbG1tkZaWhtbWVrN45ubsZcrj8RAfH4+MjAz09PSsWK/xgc2hJm/xlBV4i0bvsK+vDxkZGYiLi1tW2zZLCOPg4CDa2tqQlpbGWth0enoaXV1drIgyTdPo6uq6Zk3ky6da0DmqhJezHX67d+mlKu+//z7279+/5OdbA6teFL/zne+gvr4eTU1NFrfl5+cHvV7PeJNwYGaslLe3N1paWhi3bUQoFCI5ORlVVVWQyWRLPo6lmnu7ublh69atcHNzW5Feo9DBFvdtnhnu+sevWqDRs5NcRVEU2traTN5hTk7OgptLXwtzCuPU1BSqqqqQkpIyr5dkaZqbmyEWixkfDwUAIyMj0Ov183puXzVI8H9nZ9o2vvSdBAgdltaWra6uDq2trbjllluW9HxrYdWLolAoxN69exnxFrlcLoKDg9HR0WFxW1cjJiYGfX19rHpBfn5+CAsLQ1lZGbTaxRebW3rahdFr3LRpE3p6elBQUICRkRGz2rAkP8wKgYeTHTrHlDhUzGz/WZqmMTIygsLCQvT09JjFO7wa5hBGjUaDsrIyREREsNLb1IhMJkN/fz+io6NZsd/R0YGQkJA5s137JlT4xb9rAAA/3ByC66KXFjYFZrzEm266ifHWdeZm1Ysi8N8QKhNeQUhICMbHxxkvzwBmptMHBASgubmZcduziYqKglAoREVFxaKyPpkc/+Tu7o6tW7fCz88PlZWVKCkpYeVvtlhc7G3x1A0zJ9i/ftuOoSlmwuWTk5MoKSlBZWUl/Pz8TB63pViOMFIUhYqKCri6uiIycnHtycxNU1MTAgMDWWlUPzk5iYmJCYSEhFz1fo3egIc/qIJcrUdyoAhP3rB04aYoCh988MGKD50Ca0QUb7jhBsjlcuTn51vclp2dHQIDA1lLeomKisLw8DAmJydZsQ/M7HGmpKRAq9Wivr5+Qc9hYx4ij8dDREQEtm/fDqFQiOLiYlRUVEChUFjc9nK4NcUPqUGumNYZ8MIJy24LKBQKVFRU4OzZs3B1dcX111+PiIgIRkY+LVUY6+rqoNPpkJyczOqsxomJCYyOjiIqKooV+21tbQgODp6z+frBk82o7Z+CyMEWr9+ZAlve0uXgzJkzUKvV2LFjx5KPYS2sCVHk8/m477778Pe//50Re+Hh4ZBIJKycXAUCAUJDQ1FXV8fqfpmNjQ3S09MxMDBwzfpNtgcE8/l8xMXFYdu2bbC1tUVeXh5qamoYbV+3GDgcDp6/KR5cDnCidghn283fuUepVOLChQvIy8sDn8/Htm3bEBsby/gYoMUKY1dXFwYHB5Gens5aYg0w4znV1dUhLCwM9vb2jNuXy+UYHh6es4D+86p+HC7pBgD86bZE+IkEy7L31ltv4f77719xY6KuxpoQRQB48MEH8cUXXzCyf+Tg4AA/Pz+0t7db3NbViIyMhFarZW1v04iDgwM2bNiA+vr6OVuusS2IsxEIBEhKSkJOTg50Oh3OnDmDsrIyjI6OWl1CTqyvi6n921Of10GhWX4TdJqmMTo6irKyMpw5cwZ6vR5bt25FYmIiBILlnTSXw0KFcWxsDA0NDUhLS1tSWYg56ejogF6vZy1829bWBn9//6v+3cq7JvCrz+oAAD/JCVvWPiIwM44qNzcXDz744LKOYy2sGVGMiIhAVlYW3n33Xcbs9fX1sVIiYWNjg+TkZDQ3N7NeeuDh4YH4+HiUl5djamrqkvusSRBn4+zsjNTUVGzfvh3Ozs6oqKhAXl4eOjo6lpQ8ZCl+vjMKfiIBeidU+H+5jUs+jvECKi8vD5WVlXB2dsb27duRmppqVX+T+YRRKpWivLwcCQkJi2ocYAlkMhlaWlqQnJzMSJj5clQqFQYGBhARceVQ4O4xJX70r0poDRR2xYnxix3LD+3+3//9H3JyclgZhWUJ1owoAsCPf/xj/P3vf2ekT6izszO8vb1Z89bc3d0RHBzM6sxDI8HBwQgPD0dJSYmpVMNaBXE2AoEAsbGx2LFjB8LDwzE4OIivvvoKlZWVGBwcZH1ElYu9LV65LREcDvBxZd+iOt3odDoMDg6isrISX331FYaGhhAREYEdO3YgNjaWVc9wLuYSRplMhtLSUkRGRi6otZwloSgK1dXVCAkJsWgi0nx0dHRALBZf8Z2aUulw/3sVmFTpsM5fiFe/nwTuIpt9X45er8fbb7+NH/3oR8s6jjWxpkTxpptuglarxZdffsmIvYiICHR3d0OtVjNi73Kio6OtIowKzIR0Q0JCUFJSArlcbvWCOBsbGxsEBgYiKysL2dnZEAgEaGpqwpdffonS0lLTfD422Bjqjge3zFyhP/V5HUbkc3/WjEXkpaWlOHXqFJqamiAQCJCTk4PNmzcjICCAFc9mMVwujDKZDCUlJQgNDUV4eDjby0N7ezv0ej1rJRhqtRo9PT1XeIkavQE/+eA8OkeV8BHa4x/3pELAX/7f+vjx46BpesWOiboaHJptN4JhXnjhBRQVFeGrr75ixF5ZWRkEAgHWrVvHiL3LGR8fR2lpKbKzs1mvHzJ6h11dXeDxeMjKyrJ6QZwPhUIBiUQCiUSCiYkJuLi4QCwWw83NDSKRaM6sv4Wg0+lw8uRJ7N69+5rJCxq9ATe/UYKmIRmyIz3x7r0bwOVyoNFoMDU1hYmJCUgkEshkMri5uUEsFl/Vk1hJyOVyFBcXw2AwIDQ0FDExMaxmmgIzHmthYSEyMjJY8xJramqg0WiQlpZm+p3eQOHAB9U41SCBI5+Hf/84A7G+Lmaxt23bNmzfvh1PPfWUWY5nDbCXnsUS//M//4MXXngBLS0tjKRKx8TEoKCgAGFhYXB0dLS4vcuZHUbNyspi/cRhvAbjcDish3WXi5OTE8LDwxEeHg6tVovh4WEMDw+jv78fSqUSAoEAIpEIQqEQIpEIIpHINGjXnNjZ8PCHW2PxnbfKUNA6il+8l49dfjpMT0/D0dERIpEIYWFh8Pb2XpZQWyvW8DmyhrCpQqFAb28vcnJyZq2Lxi8/rcWpBgn4PC7eunu92QSxsbERZ8+eZaS3NJOsOU8RAO6++24IhUK8/vrrjNirqqoCTdNYv349I/Yux2AwIC8vD0FBQVfdfGeC2XuIGRkZ6OvrQ29vLzIyMuDiYp4vqTWh0+kglUohlUoxNTUFqVQKpVIJGxsb2NvbX3Gzs7MDn88Hl8sFl8uFwWBASUkJNm3aBC6XC4qioNVqoVarodFooFarL7np9XrUyuxxqGFmn/N3N4bhe+lhqyJF/nKmpqZQUlKC4OBg+Pn5oaSkBIGBgax6i62trejr60NOTg5rIejKykrY2NggKSkJwMx37un/1OP9sl7wuBy8tX89rl9io++r8eMf/xhqtRqHDx822zGtgTUpihcuXEBGRga6u7vh5eVlcXsqlQpnzpxBVlYWaz0YJyYmUFJSwkoY9WpJNTRNo7W1FZ2dndi0aRMrfSGZRqfTQaVSXSJmswVOq9WCpmnQNA2KoqDRaGBvbw8ulwsOhwM+n3+JiM4WVQcHB9ja2uLFE414p6gL9rZcfPZQBuJ82ev5aQmkUilKSkoQFhZmivTI5XKcPXuWNWE0hk0zMzPh6urKqG0jUqkUxcXF2LZtGwQCAWiaxsEvm/F2YSc4HOC125OxL9F87e4kEglCQkJMGb+riTUpigCwe/duJCcn48UXX2TEXn19PeRyOTZt2sSIvbnWMD4+jqysLMYmf18ry7StrQ2tra3YsGEDIxcoK4XF7CnOxkDRuPfdchS1jcFPJMDRA5nwcDJ/yJYNhoeHUVlZiaioqCuSatgSRoqiUFhYCE9PT8TFLX26xHIpKSmBUChEXFwcKIrGCyeaTE2+X/7OOty2IcCs9p588kk0NjYiNzfXrMe1BtZU9ulsnnrqKbzxxhvLmuawGCIjIzExMTFnETsTxMTEQK/XM9ZUYCFlFxEREVi3bh3Ky8vR3t5uFftDKxkel4PX70hBsLsDBqTTuP9wBeRqdoZPmwuaptHe3o6KigokJiZeNcvU0oOK56KtrQ0URbGWbQoAo6OjkEqliIiIgN5A4Zef1ZoE8fmb4swuiFKpFG+++eaqSq6ZzZoVxaysLMTHx+PNN99kxB6fz0dERATq6+tZO/HzeDwkJyejtbXV4uOtFlOHGBAQgMzMTLS3t6O6upqROtLVjNDBFv/4wQa4Otiitn8KD7xXCbVuZb6nBoMBVVVV6OjoQGZmJvz9/ed8LNPCODIygra2NtaK9IGZ71lDQwPCw8NBc3l4+IMqfHq+HzwuB698LxH3bAo2u8033ngDycnJyMjIMPuxrYE1K4rAjLf4pz/9ibEas7CwMOh0OvT09DBi72q4ubkhISEBlZWVFuvtuZTCfFdXV2RnZ5vCYGzVdq4Wwr2c8M/70+FsZ4Pyrgk8dOQ8tPqFTyyxBqanp1FcXAylUons7OwF7dcxJYwKhQKVlZVYt24da/uIwEyvV71eD7F/EB44XImvGobB53Hxt7tS8J31c19ALBWVSoU///nPq9ZLBNa4KO7evRtisZix1m88Hg8JCQlobGxktV1YUFAQ/P39UVZWBp3OvKG15XSqEQgE2Lx5MxwdHVFQULAiRjlZMwn+QvzffRtgb8tFXssoHv/4AgzUyghPT05OorCw0CRyi2mqbWlh1Ol0KCsrQ2BgIAIDA8167MWg0WjQ3NwMr+Ao3HmoHMXtY3Dg8/DufRuwM05sEZuHDh1CQEAAdu7caZHjWwNrWhQ5HA5+9atf4Q9/+ANjLbvEYjHc3d3R2Lj0XpXmIC4uDvb29qZyEXNgjtZtPB4PKSkpCA0NRXFxMfr7+82ytrXKhmA3/P3uVNjyODhRN4RHP6qGRm/dodS+vj6cPXsWYWFhSw5NWkoYaZrG+fPn4eDggNjYWLMcc6k0NjZiguOCBz5uQf2ADG6OfLz/w3RkhntYxJ5Op8Mf//hHPPXUU6zXO1uSNS2KAPC9730PXC4XH3zwAWM24+Pj0d/fz+rMQy6Xi9TUVMjlcrMMJTZnL1MOh4OIiAhs2LABNTU1aGhoWNSwYsKlZEd64q93pMwIY+0QHjhcCaUZpmqYG4PBgIaGBtTW1mLDhg0IDw9f1snXEsLY1NQEhUKB1NRUxjK4r8bExAT+Uz2A54vlGJVrEOXtjKMPZyI50HKh3Pfffx/29va49dZbLWbDGljzomhjY4Onn34azz33HGMhTUdHR4SHh6O2tpbVbEs+n4+0tDR0dnZiYGBgycexVHNvb29vbNmyBSMjIyScukx2xYvx7r1pcODzUNw+hjvfOYcJpfVM/JBKpSgoKMDo6Ci2bNkCb2/zFJmbUxj7+/vR1dWF9PR0Vpsi6A0Unv20Eu+1cqA1UNge443PfpKBADfLjcvSaDT43//9Xzz99NNW3x93uax5UQSAe+65B/b29nj77bcZsxkREQGtVstq0g0AuLi4YP369aiurl6S6Fh62oWzszOys7Ph4+OD4uJiNDc3E69xiWyO8MCH/7MRrg62qOmfwvfeKsGAlJ1G5kYoikJTUxOKi4vh5+eHLVu2mL25hDmEcXJyEhcuXEBqaiqrPYSHZWp8940CHO+cyQV4KCcMb9+9Hk52lu3Y+dZbb8HFxQV33nmnRe1YA2u2eP9yjh49igcffBAdHR2MNUo2FiNfd911rI/qaWtrQ2dnJ7Kzsxec1MD0+CepVIrq6moAQEpKCmvdgZhgqcX7C6F9RIF7DpVhcEoNd0c+Xr8zBZvCmJ9BaPx7cjgcJCcnW/zvudQC/+npaRQWFiIsLIzVSRxnmofx809qMKnSQWDLxUvfWYebkvwsblcmkyEsLAyHDx/Gnj17LG6PbYineJF9+/YhLCwMf/rTnxiz6e3tDR8fH1y4cIH1ovXw8HB4eHigvLx8QXWCbMxDFIlEyM7OhlgsRlFREfEal0i4lxM+fSgDsT4uGFdqsf9QGQ4VdzH2GZztHfr4+GDLli2MXOAsxWM0GAwoLy+Hp6cnwsLCLL7Gq6HVU3jheCPuP1yJSZUOoSJbnHg0ixFBBIBXXnkF0dHR2L17NyP22IZ4irMoLCzEjTfeiI6ODnh6ejJiU6vVIi8vD9HR0awPSDUYDCguLoazszOSk5PnvJK2hgHBTHsZTGNJT9HItNaAX39Rhy+qZ/aTb0ryxUu3rjPLnL25sAZvf6EeI03TqKqqglKpRGZmJit7aY2DMvzysxrUD8x03rrOn4O/PLANTgJmWvcNDw8jPDwcX3311aot1r8cIoqXsWfPHkRGRuLVV19lzKZEIsH58+etIow6PT2NoqIi+Pn5ITY29ooThjUIohGKotDS0oKOjg4EBQUhMjLSIqOZ2IAJUQRm/p6HS7rxwokmGCga0WJnvPr9JMT4mHdyiUajQWtrK3p6ehAeHo7IyEhWszevJYw0TaO+vh5DQ0PYsmXLouokzYFaZ8Bfz7Th7wWd0FM0hAIb3B6ixwO7mO0R/Mgjj6C3txdHjx5lzCbbEFG8jNraWqSnp6O5uZlRz62qqgoajQYbN25kvQZIoVCguLgYQUFBiImJMf3emgRxNjKZDI2NjRgfH0d4eDjCwsJgY7OyR4UyJYpGyjrH8fAHVRhTaGHL4+Dx6yPxoy1h4HGX91nU6XTo6OhAe3s7PD09ERMTYzWjwuYSRpqm0dTUhL6+PlMzCSap6J7Ak5/VonN0puPUrngx9vpOw9fVEcnJyYyto7OzE3FxcaisrGS12TnTEFG8CnfffTcA4F//+hdjNnU6Hc6cOWMVYVTgv5PNw8LCEBkZabWCOJvx8XE0NDRApVIhMjISwcHBrHojy4FpUQSAUbkGT31eh2+ahgEAKYEivHJbEkI8Fi8KBoMB3d3daG1thZOTE2JjY+Huznwyz7W4mjC2tLSgq6sLmZmZjGaaTii1+NPpFhw51wsA8HS2w/+7KQ7RThq0tLTguuuuY7QU5M4774SdnR1jHb+sBSKKV6G3txcxMTE4ffo0o3F0YzZqTk4O41enV2Nqagpnz55FZGQkNBqNVQuiEZqmIZFI0NTUBIPBgJiYGPj5+bHufS8WNkQRmHn/Pj3fj+dzGyHX6CGw5eHnOyLxg4xg2PKufYFB0zT6+/vR3NwMHo+H2NhYeHt7W/X7P1sYbWxsTM3HmfJoNXoD/lnSg7+caYNcPdNU4fupAfj17hjY0Frk5+czPlqtsLAQu3fvRnNz87xN2FcjRBTn4MUXX8Snn36KiooKRkNxNTU1kEqljM48nI/JyUkUFxeDy+UiOzvbqgVxNjRNo6+vD83NzbC1tUVsbCy8vLys+uQ8G7ZE0ciAdBpP/LsGJR3jAGYyVp+9MRZbIq+egEbTNEZGRtDY2AidTofo6GgEBASsmPdbLpejoKAANE0jKyuLkaHXNE3jqwYJDn7ZjJ5xFQAg1scFz9wYi01h7jAYDCgqKoK7uzujg3x1Oh1SUlKwf/9+PPnkk4zZtRaIKM6BRqNBfHw8HnvsMRw4cIAxuwaDwTS0ND4+njG7V8MYMu3t7QVFUVcd7mrtGAwGdHV1oa2tDQKBAKGhofDz87P6rhxsiyIAUBSNf5/vw8unWjB+sfvN9bHeeGZPLALdZ7qnGAwG9Pf3o7OzE2q12hS2tvb393JaW1vR1tYGDoeD4OBgiw4qpmkapR3j+PM3bSjvngAwEyp9YmcUvpPib9rHraurMw0FZ/L9/POf/4y33noLtbW14PP5jNm1FogozsOpU6dw++23o7W1ldHQhUKhQEFBAdavXw+x2DLd7q/F5XuIer0epaWlCA0NRVRUFCtrWg56vR59fX3o7OyETqdDUFAQQkJCGM8qXCjWIIpGpqZ1+Mu3bThc0g0DRYNvw8X31/tiZyAX8pF+2NnZITQ0FP7+/isuwYmmadMeYkZGBrhc7pIK/BdqK791FH/9tg1VvVIAgJ0NFz/aEoofZYfBcVZXmqGhIVRVVTEenRkaGkJ0dDQ+++wzbN++nTG71gQRxWtw6623QigUMr7Z3NfXh7q6OmzdupXxMo25kmpkMhlKSkoscsJgCpqmMTo6is7OToyOjsLb2xtBQUFWF1q1JlE00iqR4enPL6C8Vw4AsOUCN6/zwuO74uArslzfTUth/Jz39fUhIyPDtIe41M43c2GgaHzTNIzXz7SjbmAKwIwY3pEWiB9lh8JHeOn3W6VSIT8/H+vWrWN8P+/uu++GRqPBJ598wqhda4KI4jXo6elBbGws40k3AFBdXQ2lUmm6gmWCa2WZGk8Y/v7+iIuLsyohWSxKpRI9PT3o7e0Fl8tFUFAQAgIC4ODA/gnemkRRpVKht7cXvb29MBgMGLf1wmctKlT3zRSU83lc3LbBHz/cHIrgJWSqsoGxDnFwcHDez/lyhHFCqcUnlX14v6wHfRMzPWYFtjzcvSkIP8wKgZfzlVEKiqJw9uxZODs7IykpaUmvbakYk2uampoQEBDAqG1rgojiAjAm3VRWVjIa29fr9SgsLIRYLGZkdttCyy4UCgVKSkrg6uqK5OTkFRcyuxyKojA8PIyenh6MjIzA2dkZYrEYYrEYIpGIFeFnUxRpmoZUKoVEIoFEIoFcLoeXlxeCgoLg7e0NLpcLmqZR0jGO12btiwFAVoQH9m8MwrZoL9gsIFuVDfR6vakBfkZGxpyZ3ksRRpqmUdUrxZFzPThROwStYaYNoVBgi/0bA/HA5lC4Oc69T9fQ0IDh4WFkZ2czfq5JSUnBXXfdtSaTa2ZDRHEBGJNuDhw4gMcee4xR2zKZDEVFRUhKSoKfn+V6HS62DlGj0aCiogJ6vR7p6emsd+IxF1qtFiMjI5BIJBgeHgaPxzMJpKenJ2MnKqZFUa/XY2xszCSEBoMB3t7eEIvF8Pb2nncNpR3jeKugA4VtozCeTXyE9rh9QyC+l+oPX5H1fDZUKhXKyspga2uLDRs2XLMD0kKFsXNUgdyaIRyvHUTbiML0+0R/IfZvDMLeRF/Y287/2env70dNTY1FJoVci1deeQXvvPPOmk2umQ0RxQWSn5+PG2+8ERcuXGA8A1MikaCyshKbN2+2SKr4UgvzKYpCbW0tJBIJ0tLS4ObmZva1sQlFURgfHzcJhUajgaenJ8RiMdzd3eHo6GgxL9LSokjTNJRKpen1jY6Ows7OznQB4O7uvuiQfe+4Cu+X9+Dflf2XzGpMDhRhT4IPbkjwgR+LAjk+Po7y8nL4+voiISFhwa9vLmHsm1DheO2MEDYMykyPt7PhYl+iL/ZvDEJigGhBNqRSKYqLi7FhwwazzZJcKC0tLUhJScGpU6eQlZXFqG1rhIjiIjhw4ABqa2uRn5/PeA1ha2sruru7zd6HcbmdamiaRldXFxobG5GQkGAV3XgsAU3TkMvlJg9SKpWCy+VCJBJBJBJBKBRCJBKZTSjNKYpGAZRKpZBKpZiamoJUKgVFURCJRCaP0NnZ2Sxr1+gN+LJOgg/Ke1HRPYHZZ5ikABF2xYuxOdwDMT4uy24jt1B6enpQV1eHuLg4hISELPr5crkcZwqLMWnriW61AEVto+i42IYNAGy4HGyO8MDedb64Ps4bLvYL/5up1WoUFBSwMprKYDAgKysLaWlp+POf/8yobWuFiOIiUCgUSExMxKOPPsp4GJWmaZw/fx7T09PIzMw0iyibs3Xb6OgoKioqEBAQgLi4OKtoPGBJKIqCTCYzCYxUKoVMJgOXyzUJpEgkgoODA+zt7WFvb7+o92QpomgwGKDRaKBWq6FUKk1rm5qaAkVRcHFxuUTEXVxcLP53Gpap8WXdEE7WSVDRc6lACgW22BTqjoxwd2wKdUeYpxO4ZhZJiqJQX1+PgYEBpKamLmr6zYRSi5p+KWr7plDWNY6K7gnoDP99AVwOkB7ijr2JvtgVL553r3AuDAYDzp49C0dHR6SkpDC+f/3KK6/grbfeQk1NjVUkmFkDRBQXSUFBAfbs2YPq6mpEREQwatvY4UIoFCIpKWlZXyBL9DJVKpUoKyuDvb09UlNT19zeBEVRkMvll3hkKpUKGo0GAMDn82FnZ2cSSXt7e9PPtra24HA44HA44HK5MBgMKCkpwaZNm0yJLTRNQ6fTQa1Wm8TPeNNoNNBqZ0KWdnZ2cHBwuEScnZ2dWb9QGZGp8WW9BIWtoyjrmoBCo7/kfkc+DzE+Loj1dUHsxX8jvJyXPMpKq9WioqICGo0G6enpcybUaPUUeidU6BlXon1EgdqBKdT0SdE/OX3FY/2Edgh10GJLpCduy06E0GHpn3GaplFdXQ25XI7Nmzcz3vDAGDb9+uuvkZmZyahta4aI4hJ49NFHUV1djYKCAsZPNNPT0ygoKEBERMSSh55asrm3TqdDVVUV5HI50tPTGU8YsEYoioJGo7mqkBn/r9frTcJH07TpOUYP0yiYNjY2Vwjq7J/t7OxYF7+FoDdQqB2YQmnHOEo6xlDZPQmN/uoDoz2c+PAVCeAnEpj+dXW0hZOdLRzteHCys4GTnQ0c+DagaBoGisaUTI7qmhoIHBwREh4FmZbCpFKLCaUWkyotJpQ69E+q0DWmxKB0GtQcZ8FQT0ck+ouQHChCVoQngt0doFAozFLH2N7ejo6ODmzZsoXxRDVj2HTjxo2MDlZfCRBRXAJKpRKJiYk4cOAAfvrTnzJuf2JiAiUlJUhOTl50RioT0y6Mo3e6urqQmprKeOLAasCa6hSZQG+g0DmmROOgDI1DMjQOytAwOIVJlY4R+w58HoLdHRHi4Yg4Pxck+osQ7yeEUHD19365dYz9/f24cOECMjMz4erqao6XsCj++Mc/4u2338aFCxdI2PQyiCguEWOha1VVFSIjIxm3Pzw8jIqKCqSnpy94n4Tp8U/GL76xl+RK64fJJmtNFK8GTdOYmtZhQDqNgclpDEqnMSCdxqBUDZlaB7laD6Vm5ibX6DGtNYADGhzQsOHxYGvDA4/Lgb0NF66OfLg58uHqMPOvyMEWviIBgt0dEezhAE8nu0UL21KFcWRkBOXl5UhLS2O0faSR5uZmrF+/noRN54CI4jL42c9+hsLCQpw9e5aVie+9vb2oq6tDZmbmNUs12JqHKJfLUV1dDa1Wi5SUlFVXtmEpiCgujvHxcVRXV4PP5yM5OZmxsP1ihXFychIlJSVYt24dK11j1Go1Nm3ahO3bt+MPf/gD4/ZXAta/+WDFHDx4EDRNs9YBIjAwEJGRkTh37hyUSuWcj2NzQLCzszOysrIQFBSEkpISNDQ0wGAwMGafsLrR6/Wor69HaWkpgoODkZWVxeg+trOzMzIzM9Hb24umpibM52MoFAqcO3cOUVFRrLVR+8UvfgE+n48XX3yRFfsrASKKy8DOzg4ff/wx3n33XRw7doyVNYSHh8Pf3x+lpaVQq9VX3M+mIBrhcDiIiIhAdnY2xsbGkJ+fj4mJiWs/kUCYh4mJCdNnKTs7G+Hh4ay05FuIMKrVapSWliIwMJC18Wuff/45jhw5go8++mjNZYYvBiKKyyQ8PBx///vfce+996K3t5dx+xwOB3FxcXB1dcW5c+eg0/03McEaBHE2Rq8xMDCQeI2EJWMwGFBfX4+SkhJWvMOrMZ8warValJaWwt3dnZEexlejq6sLDzzwAP7xj38sqXnBWoLsKZqJH/3oR6ivr0d+fj4re0AURaGiogJqtRoZGRmwsbGxKkG8HJlMhurqauj1eiQnJ5O9xssge4pXZ2JiAlVVVYzvHS6Uy/cY9Xo9zp49C4FAgA0bNrBSLqPVapGVlYXU1FS88cYbjNtfaRBRNBPT09NIS0vDjTfeiIMHD7KyBoPBgIqKCmi1Wri6us45FsdaoCgK7e3taG1tRUhICKKjo0mG6kWIKF6KwWBAc3Mzurq6EBUVxVqodCEYhdHPzw8TExOwt7dnTRAB4IknnsDp06dx7tw5qx2qbU0QUTQjTU1NSEtLw6effoqdO3eysga9Xo8zZ85ArVZjy5YtFmkgbm6MXqNOp0NsbCx8fHys9oTHFEQUZ6BpGkNDQ2hsbIStrS1SUlKszju8GpOTkygqKoJAIMDWrVtZG6924sQJ3HHHHaisrGSldGwlQvYUzUhMTAxef/117N+/H93d3Yzbp2kaLS0toCgKrq6uqK2tvWSP0VpxcXFBVlYWwsLCUFtbi6KiIoyNjbG9LALLjI6OorCwELW1tQgLC7OKvcOFoNPpUFtbCzc3N+j1erS2ts6blWopOjs7cc899+Bvf/sbEcRFQDxFC/DII4+Y6heZCl1enlQjEAhMfR83bdq0YrLN9Ho9Ojo60N7eDjc3N8TGxkIoFLK9LMZZy56iVCpFY2MjJicnERERgdDQ0BUzyFqr1aKkpAQCgQCpqalQqVRmaQm3WORyOTZt2oTrr78er776KiM2VwtEFC2ATqfDrl27IBQK8emnn1p8L2GuLFODwYDKykqoVCps3LhxRQ0C1mq1pnFZYrEYMTExczZ0Xo2sRVFUKBRobm6GRCJBSEgIIiIiVszFHDCTV1BaWgonJyekpqaavvfLbQm3WCiKwi233ILp6WmcPHlyxVxQWAskfGoBbG1t8cknn6CmpgbPPfecRW3NV3bB4/GwYcMGCIVCFBUVQaFQzHMk64LP5yM+Ph7XXXcdeDwezpw5g9ra2qvWYhJWNmq1GjU1NcjLywOPx8O2bdsQFxe3ogRRLpejqKgIrq6ulwgisLgCf3PwzDPPoLGxER9//DERxCVAPEUL0tDQgE2bNuHQoUP43ve+Z/bjL7QO0digu6enBxs3bmSlAfFykclkaGpqwujoqGkY62r2oNaCp6jT6UyTIry8vBATE7Mi9gwvZ2JiAmVlZQgODkZ0dPScniATHuOHH36Ihx56CKWlpYiJiTH78dcCRBQtTG5uLu68804UFhYiOTnZbMddSmF+R0eHKUOWjUbE5mBiYgKNjY2Qy+UICQlBcHDwqkwzX82iqFar0d3dja6uLri4uCAmJmbF1qkaG/PHxsYiNDT0mo+3pDCeP38e2dnZ+OSTT7B7926zHXetQUSRAQ4ePIg333wTFRUVZhmjtJxONcbJFYmJiaz1X1wuNE1jdHQUHR0dGBsbg5+fH0JDQ1dE+clCWY2iODk5ic7OTgwODsLDwwNhYWHw9PRcseU3vb29qK2tXfQIN0sIo0QiQWpqKh577DE88cQTyz7eWoaIIgPQNI277roLnZ2d+Pbbb5eVMGKO1m0jIyOoqKhAREQEIiIiVuxJCZg5wXR2dqKvrw9CoRChoaHw8fFZEYN252O1iCJFURgaGkJnZyempqYQGBiIkJCQFRkmNULTNFpbW9He3o60tLQFj26bjTmFUaFQYOvWrYiOjsY///nPFf19tgaIKDKEWq3GDTfcAIFAgKNHjy7pRGfOXqZTU1MoKyuDm5sbkpKSVvyGvFarRW9vL7q6umAwGBAYGIigoKAVm7G60kVRoVCgp6cHfX194PF4CAkJQVBQ0Ip8LbPR6/Worq6GVCpFWlrassqFzCGMWq0We/fuhcFgwIkTJ1gZYbfaIKLIIFNTU8jOzsa6detw+PDhRXkzlmjurdFoUF5eDoPBgPT09BVVsjEXxtBqd3c3hoeH4ebmhuDgYIjF4hXVQm4liqLBYMDQ0BB6enowMTEBsViMoKCgFR0inY1KpUJ5eTlsbGywYcMGswjQcoSRoijcfffdaG5uRl5eHlxcXJa9HgIRRcYZGhpCZmYmvvvd7+Lll19e0HMsOe2CoijU1tZCIpEgLS1txSY8XA21Wo2+vj709PRAp9NBLBZDLBbD09PT6j3jlSKKer0eo6OjkEgkGBoaAp/PR1BQEAIDA1eV1zI+Po6Kigr4+PggISHBrOH5pQgjTdP42c9+htzcXJw9e9YsuQqEGaz7zLAK8fHxwVdffYXMzEx4e3vj5z//+byPt/T4Jy6Xi8TERLi4uJgmggcGBprVBlvY29sjIiIC4eHhGB8fh0QiQUNDA6anp+Hp6QmxWAxvb+9V4SEzyfT0NIaHhyGRSDA6OgqBQACxWIz09HS4ubmtCq9wNj09Pairq0NcXJxFxi4Z6xjPnj0LAAsSxj/84Q/48MMPiSBaACKKLBAREYEvv/wSW7duhbe3N/bv33/VxzE1D5HD4SA0NBTOzs6oqKjA5OQk4uPjV1S4cT44HA48PDzg4eGBuLg4KBQKSCQS9PX1oba2FkKh0ORFuri4rLqT+nKhaRoymQwSiQQSiQRTU1NwdXWFWCxGXFwcnJycVuV7ZpzbODg4iPT09CUl1CyUxQjj4cOH8eKLLyI/Px9hYWEWW9NahYRPWeT06dO4+eab8dlnn2HXrl2X3MfWgGClUonKykrQNI3U1FSrHTtlLjQajcnrGRkZAZ/PNwmku7s7axcGbIdPDQYDxsfHMTQ0hOHhYWi1Wnh5eZm869UUGr0acrkclZWV4PF4SE1NhYODA2N25wulnjhxArfddhtyc3Nx3XXXMbKmtQYRRZb5+OOP8cADD+DYsWOmDzlbgmiEoig0Njaip6cH69atW7H1jIvFYDBgbGzM5BFpNBq4uLhAKBRCJBJBKBRCKBQyIpRMiqLBYMDU1BSmpqYglUohlUohl8thb28Pb29v+Pj4sHqBwDTG+sOQkBDExMQwXt4zlzCePn0at9xyCw4fPozvfve7jK5pLUFE0Qr45z//iYcffhjHjx/Hli1bWBXE2UgkElRVVZmSC6w9OcWc0DQNlUp1iVBIpVLo9Xo4OzubRNL4r7kFw1KiqNfrIZPJTK9namoKcrkctra2ptdjfE0ODg6rMiw6F3q9HrW1tRgeHkZKSgqre3WXC2NeXh727duHv//977jrrrtYW9dagIiilfDuu+/i0UcfxRtvvAFvb2/WBdHI9PQ0KisrodPpkJqauqbTvmmaxvT09CWCIpVKodPp4OzsbBISe3t72Nvbw87OzvTvYr2NpYoiRVHQaDRQq9VQq9Wm/6tUKkilUigUCtja2l4i6iKRCAKBYE0J4OVMTU2hsrISdnZ2WL9+vVUkXxmFcXh4GAcOHMDrr7+OH/zgB2wva9Wzdi79rZz77rsPOp0OP/nJT/DZZ59ZhSACgEAgQGZmJlpaWlBYWIjIyEiEh4ev+I4xS4HD4cDBwQEODg7w9fUFcKlQTk1NQaVSYWJiwiRGWq0WAEwCOVssZwsml8sFh8MBh8MBl8uFwWAAMNMajcvlgqZp0DQNiqKuEL7Z4qfRaADMTBmZbcPBwQE+Pj4QiUSwt7df0wI4G4qi0NbWhra2NoSHhyMyMtJqPtvOzs6gKAo/+clP8NprrxFBZAjiKVoZ77zzjqn+KCcnh+3lXMLExASqq6thY2OD5OTkNe01LhSKoq4Qrst/NoqdUfiMP2s0Gtjb218hmBwO56oCe7nQEuZHJpOhuroaer0eKSkpVjc95ttvv8XNN9+M1157Dffffz/by1kzEFG0Qt5991088sgjOHr0KLZt28b2ci7BYDCgubkZXV1diIqKQlhYGDkBWwC2s09XMxRFob29Ha2trQgJCUF0dLTVJRF9/fXXuPXWW/G3v/0N99xzD9vLWVOQ8KkVct9998HGxgY33XQTPvzwQ+zdu5ftJZng8XiIi4uDj48PqqurMTQ0hOTk5BXd4JmwdpjtHWZkZFhlB6f//Oc/2L9/P0mqYQlyiW+l3H333Xjvvfdw++23491332V7OVfg5uaGnJwcuLu7o6CgAM3NzaZ9MALB2tDr9WhqakJhYSE8PDyQk5NjlYL4zjvvYP/+/fjXv/5FBJEliKdoxXznO9+Bu7s7br75ZkgkEvzqV7+yqgQJo9fo6+uL2tpa9PX1ISEhAWKxmO2lEQgAZhKhJBIJ6urqYG9vj82bN1vl3E2apvHiiy/ilVdewcmTJ7Flyxa2l7RmIaJo5eTk5KCgoAC7du2CRCLBq6++anV7eK6urtiyZQt6enpQVVUFNzc3JCQkrNixTYTVgUKhQF1dHaRSKWJjYxEYGGhVF5VGDAYDHnvsMXz++ecoLCxEQkIC20ta0xBRXAEkJiaipKQEO3bswMjICN577z3w+Xy2l3UJHA4HwcHB8PX1RVNTE/Ly8hAeHo6IiAirS2IgrG70ej3a2trQ0dGBgIAArF+/3uq+L0Y0Gg3uvvtu1NTUoKSkBMHBwWwvac1Dsk9XECMjI9i9ezdcXV3x+eefW3Vyy+TkJGpra6HRaBAdHY2AgACrvEq3Vkj26eKhaRp9fX1obm6Gvb091q1bZ5WhUiMymQy33HILFAoFTpw4AQ8PD7aXRABJtJmXgwcPYsOGDXB2doaXlxduvvlmtLS0mO6fmJjAI488gqioKAgEAgQGBuLRRx/F1NTUJccx1pjNvn300UeXPOa5556Dv78/Nm/ejNbW1quux8vLC3l5eeBwOMjOzkZ/f7/5X7SZMIZUY2Ji0NLSgvz8fEgkEpBrMIK5oWkaQ0NDyMvLQ0tLC2JiYpCVlWXVgtjb24vs7GzY2tri22+/nVMQ33zzTaxbtw4uLi5wcXHBpk2b8OWXX5ruf/vtt5GTk2Oa7iKVSq84RnBw8BXnn5deeumSx7zzzjsICgpCcnIyysrKzPpaVxpEFOehoKAADz/8MM6dO4fTp09Dp9Nhx44dUCqVAIDBwUEMDg7ij3/8I+rr63H48GGcOnUKDzzwwBXHevfddzE0NGS63Xzzzab7zp49ixMnTuDo0aO48847ceDAgTnX5OzsjOPHj2P9+vVITU1FaWmp2V+3ueBwOAgICMB1112HwMBAVFdXo7i4GBMTE2wvjbBKGB8fR3FxMWpqahAcHIxt27ZZfVTi7Nmz2LBhA9LT05Gbmztv9yp/f3+89NJLOH/+PCorK3HdddfhpptuQkNDAwBApVJh165d+PWvfz2vzeeff/6S888jjzxiuq+3txcvv/wyPvroI/zmN7/BfffdZ54XulKhCQtmZGSEBkAXFBTM+ZhPPvmE5vP5tE6nM/0OAP3FF1/M+Zzc3Fz6pptuorVaLX3u3Dl6w4YN11wLRVH0X/7yF9rBwYE+fPjwol4HW2i1WrqpqYnOzc2lz507R09NTbG9JKtFq9XS//nPf2itVsv2UqwSqVRKl5aW0sePH6ebm5tXzPt06NAh2sHBgf7b3/625GO4urrS//jHPy75XV5eHg2AnpycvOLxQUFB9Kuvvjrn8erq6ujU1FRaoVDQnZ2ddHBw8JLXthogorgI2traaAB0XV3dnI955513aA8Pj0t+B4D29fWl3d3d6Q0bNtCHDh2iKYoy3a/VaumdO3fSNjY2tEgkor/55psFr+n06dO0q6sr/bOf/ewSIbZm1Go1XVNTQx87dow+d+4cPT4+zvaSrA4iildnfHycPnfuHH3s2DG6traWVqvVbC9pQeh0Ovqxxx6j3d3d6TNnzizpGHq9nv7www9pPp9PNzQ0XHLftUTR29ubdnNzo5OSkuiXX375inPF/fffT/N4PFogENBHjhxZ0vpWC0QUF4jBYKD37NlDZ2ZmzvmY0dFROjAwkP71r399ye+ff/55uri4mK6qqqJfeukl2s7Ojn7ttdeueP7w8DCt0WgWvba2tjY6JiaG3rlz51W/FNaKSqWi6+rq6NzcXLq4uJgeHh6+5GJhLUNE8b9QFEUPDw/TRUVFdG5uLl1fX09PT0+zvawFMz4+Tm/fvp2Oj4+nOzo6Fv382tpa2tHRkebxeLRQKKRPnDhxxWPmE8VXXnmFzsvLo2tqaug333yTFolE9OOPP37F48bGxmiVSrXo9a02iCgukB//+Md0UFAQ3dfXd9X7p6am6LS0NHrXrl3XPJE988wztL+/v1nXNzU1Re/Zs4eOjIykm5ubzXpsS6PRaOjm5mb65MmTdH5+Pj0wMLDmxZGI4owYDgwM0Hl5efTJkyfp5ubmJV00skljYyMdHh5O79u3j5bJZEs6hkajodva2ujKykr6V7/6Fe3h4bEoT/FyDh06RNvY2KwYL5tpSKLNAjhw4ACOHz+OvLw8+Pv7X3G/XC7Hrl274OzsjC+++OKaKfTp6eno7+83jfkxBy4uLjh69ChuueUWpKWl4ZNPPjHbsS0Nn89HVFQUrr/+evj7+6Ourg5nzpxBZ2cndDod28sjMIxOp0NHRwe+/fZb1NfXIyAgANdffz2ioqKstt7wanz44YfYuHEjbrvtNnzxxRdLLqHi8/kIDw/H+vXrcfDgQSQmJuK1115b8rrS09Oh1+vR3d295GOsZkjx/jzQNI1HHnkEX3zxBfLz8xESEnLFY2QyGXbu3Ak7OzscO3YM9vb21zzuhQsX4OrqCjs7O7Oul8fj4aWXXsLGjRtx//3348yZM3j11VetYmDqQrCxsUFYWBhCQkIwMDCAzs5ONDU1ISAgACEhIVZdl0lYPjKZDF1dXejr64OLiwuioqLg5+dndR2croVKpTJ1qDly5IjZG/obx4otlQsXLoDL5cLLy8uMq1o9EFGch4cffhgffPABjh49CmdnZ0gkEgCAUCiEQCCATCbDjh07oFKpcOTIEchkMshkMgCAp6cneDwecnNzMTw8jI0bN8Le3h6nT5/G7373O/ziF7+w2LpvvvlmJCcn44477kB6ejo++eQTREdHW8yeueFyuQgICEBAQAAmJyfR2dmJ/Px8uLq6Ijg4GD4+PqRLzirBYDBgcHAQ3d3dkEql8PPzQ2ZmptXNNlwojY2NuO222yASiXDhwgUEBAQs63hPPfUUbrjhBgQGBkIul+ODDz5Afn4+vvrqKwCARCKBRCJBe3s7AKCurg7Ozs4IDAyEm5sbSktLUVZWhq1bt8LZ2RmlpaV4/PHHsX///hX7HlsctuO31gyAq97effddmqb/G8e/2q2rq4umaZr+8ssv6aSkJNrJyYl2dHSkExMT6bfeeos2GAwWX79Wq6WffPJJ2snJacWUbcyFcV/l9OnT9MmTJ+mamhp6fHx81e49ruY9RYqi6PHxcfrChQv0iRMn6G+++YZub29fcfuFs6Eoij506BDt6OhI//rXvzZbJvj9999PBwUF0Xw+n/b09KS3bdtGf/3116b7f/vb3857jjp//jydnp5OC4VC2t7eno6JiaF/97vfkf3EeSBt3tYAp06dwj333IMbbrgBb7zxxrzFwtYOTdMYHx9Hf38/BgYGYGdnB39/f/j7+6/o13U5q7HNm1wuR39/P/r7+6HT6eDr6wt/f3+4u7tbdbH9tZDL5XjooYdw+vRp/Otf/8KOHTvYXhJhGRBRXCMMDg7irrvuwtDQEP71r39hw4YNbC9p2RgMBgwPD6O/vx/Dw8NwcXGBv78//Pz8FrS3a82sFlGcnp7G4OAg+vv7IZPJ4O3tDX9/f3h7e6+KEHhZWRnuuece+Pv74/333ydj01YBZE9xjeDr64tvvvkGv//975GdnY2f/vSn+O1vf2v2ZB8m4fF48PX1ha+vL7Rarenk29DQAKFQCLFYDLFYbOoLSbA8NE1DJpOZ9rqmpqbg7u5umqCykgV+Nmq1Gr/97W/x17/+Fc8++yyeeOKJVSHyBOIprknq6upw7733QqPR4PDhw0hNTWV7SWZFo9FgeHgYEokEIyMj4PP5JoF0d3dfESevleQpGgwGjI+PY2hoCMPDw9BqtfDy8oJYLIa3t/eKvvC6GuXl5bj33nvh6OiIw4cPIy4uju0lEcwI8RTXIAkJCTh37hx+//vfY8uWLXj88cfx7LPPrpqTl52dHQIDAxEYGAiDwYCxsTFIJBJUV1dDp9PB3d0dHh4ecHd3h0gkWnEp/2xDURSkUinGxsYwPj6O8fFx8Pl8eHt7IykpacVceCwWjUaD//3f/8Vrr72Gp59+Gr/85S9hY0NOoasN4imucWpra3HvvfdCp9Ph8OHDWL9+PdtLshjG0J7xZD42NgaKokwi6eHhAaFQaBUiaU2eolEEje/Z+Pg4eDzeJe+bs7Pzqg5RV1RU4N5774VAIMDhw4cRHx/P9pIIFoJc5qxx1q1bh7KyMhw8eBBZWVl47LHH8PTTT8PR0ZHtpZkdDocDoVAIoVCIsLCwK0Syra0NBoPB9BiRSASRSARnZ2erEEomoCgKcrkcUqnUdJPJZODxePDw8IC3tzfi4uJWvQgaUSqVeP755/HXv/4Vv/nNb/DLX/6S9YsUgmUhniLBRE1NDR566CH09/fj1Vdfxa233romTnxGaJqGQqHA1NSUSRCmpqZAURRcXFxMAunk5ARHR0c4ODhY7P2xtKdI0zRUKhWUSiUUCoVJCGUyGbhcLkQikenCQCgUwsnJac19Fj799FP87Gc/Q1BQEN58800kJCSwvSwCAxBRJFwCRVF477338OSTTyI5ORl//etfERkZyfayWIOmaSiVSpNAKhQKKBQKKJVKcDgcODo6wtHR0SSUAoEAdnZ2sLe3h52d3ZKFZLmiSNM0NBoN1Go1NBoNpqenTQKoVCqhVCpB07Rp7U5OTiYRdHR0XFMCeDnNzc145JFHUFtbiz/84Q+4++671/T7sdYgoki4KpOTk3jmmWdw6NAhPP744/jNb36zKkOqS4WiqEs8LaPYqNVqqNVq6HQ6cDgc2NnZwc7ODgKBAHw+HzY2NnPeuFyu6eRrMBhQUlKCjIwM8Hg80DQNiqKg1+vnvM0WQY1GA5qmYWtrC3t7e9jb218igEZPd62EhReCQqHACy+8gNdeew0PPvggnnvuOYhEIraXRWAYIoqEeamursbDDz+8ZkOqS8VgMJhEynjTaDQwGAxzihpFUTB+HSmKglarNXmbHA4HXC53TkHl8XgmD9V4s7OzW5VZoObm8lDpG2+8gcTERLaXRWAJIoqEa0JRFP75z3/il7/8JWJjY02TOAiWw5qyT1czpaWl+NWvfoXm5mYSKiUAAEjshHBNuFwu7r33XrS1tWHz5s3Yvn07br31VjQ1NbG9NAJhSTQ2NuLmm2/G9ddfj+zsbLS2tuKee+4hgkggokhYOEKhEC+88ALa2togFouRnJyMH/7wh+jr62N7aQTCgujt7cV9992HlJQU+Pv7o6OjA88//zyEQiHbSyNYCUQUCYvGx8cHf/vb31BfXw+FQoGoqCg88cQTmJiYYHtpBMJVGR8fx89//nNERUVBo9GgoaEBr7/+Ory9vdleGsHKIKJIWDLh4eH46KOPUFRUhJqaGoSGhuK5554j4kiwGsbHx/Hb3/4WoaGhaGhoQElJCT744AOEhYWxvTSClUJEkbBs1q9fj6+//hqff/45CgoKEBgYiF/84hcYHBxke2mENcrAwIApm/Ts2bM4evQoTp06heTkZLaXRrByiCgSzMZ1112HM2fO4Ntvv0V7ezvCwsLw4IMPor29ne2lEdYIbW1t+OEPf4iwsDB0d3cjLy8P33zzDXJyctheGmGFQESRYHbS09Pxn//8B5WVlVCr1YiPj8cdd9yBmpoatpdGWKVUV1fj+9//PhISEqDX61FdXY3PP/98VQzTJjALEUWCxYiLi8M///lPNDc3w93dHZs2bcKuXbtw4sQJUBTF9vIIKxyDwYDjx49j586dyMzMhLe3N1paWnD48GHExMSwvTzCCoWIIsHiBAcH4/XXX0d3dzcyMzPxP//zP4iIiMCf/vQnTE5Osr08wgpjcnISr7zyCiIiIvCjH/0IWVlZ6OnpwV/+8hcEBQWxvTzCCoeIIoExvLy88Mwzz6CnpwcHDx7EF198AT8/P9x///0oLy8Haa5EmAuapnHu3Dncd9998PPzw7Fjx/D73/8e3d3dePrpp+Hp6cn2EgmrBCKKBMaxtbXFbbfdhqKiIpw7dw4CgQDbt29HSkoK3nrrLeI9EkxMTk7izTffRHJyMnbu3AlHR0eUlZWhoKAA3/ve90gLPILZIb1PCVaBQqHARx99hLfffhs1NTW48cYbcdddd2HPnj2ws7Nje3mMs5Z7n6rVapw4cQJHjhzByZMnkZSUhAcffBC33347mdRCsDhEFAlWR2trK95//30cOXIEExMT+O53v4v9+/cjKytrzYw6WmuiSFEUCgoK8P777+PTTz+Fp6cn9u/fjzvvvBMRERFsL4+whiCiSLBaaJpGWVkZjhw5go8//hgCgQB33nknvv/97yMpKWlVN29eC6JI0zSqq6vx8ccf44MPPoBGo8Htt9+Ou+66C2lpaav670uwXogoElYEOp0OX3/9Nd5//33k5ubC1dUVe/fuxd69e7F169ZVF2JdraKoVquRl5eHY8eO4fjx45iamsLevXuxf/9+bN++fVW9VsLKhIgiYcWh0WiQn5+P3NxcHDt2DJOTk9ixYwf27duH3bt3r4pMxNUkiqOjozhx4gSOHTuGr7/+Gu7u7ti3bx/27duH7Oxs8Pl8tpdIIJggokhY0dA0jdraWhw7dgy5ubmoqqrCxo0bcf311yMnJwfp6emwt7dne5mLZiWLolqtxrlz55Cfn4/Tp0+jrKwM69evx969e7Fv3z4kJCSQ0CjBaiGiSFhVDA4O4uTJkzhz5gzy8vIglUqxadMm5OTkmERyJYRaV5IoqtVqlJWVIT8/H/n5+SgtLYWbmxu2bt2KrVu3Ys+ePfDx8WF7mQTCgiCiSFi10DSN1tZW08k6Ly8PU1NT2LRpE7Kzs7FhwwasX7/eKmfqWbMoDg8P4/z58ygvL0dBQQFKS0vh6uqKrVu3mi4+IiIiiDdIWJEQUSSsGWiaRktLC/Lz81FYWIjKykq0tbXBz88P69evv+QmFotZXau1iOLQ0BDOnz9/yW1wcBCRkZFITU3Fli1bkJOTg8jISCKChFUBEUXCmkYmk6G6uvqSk35rayt8fHyQnJyM6OhoREZGmm4+Pj6MnPyZFEWapjE4OIjW1la0tbWhtbUVzc3NqKqqgkQiQVRUlOliISUlBcnJyXBxcbHomggEtiCiSCBchlwux4ULF3DhwgW0traabj09PXBwcLhEJMPCwuDr6wtfX1/4+PjA1dXVLKJpTlGkaRoTExMYGhrC0NAQBgcH0d7ebnpdbW1tUKlUCAoKuuS1JSUlISkpCc7Ozst+PQTCSoGIIoGwQNRq9SVi0traio6ODgwODmJoaAhKpRJ2dnYQi8UmkfTx8YG3tzdcXFzg5OQEZ2dnODs7m/5v/NfR0RE2NjbgcrngcrkwGAw4efIkdu3aBR6PB4qioNfroVQqIZfLoVAoLvnX+H+ZTIbh4WHTmoaGhiCRSKDRaODk5GRaU3h4+BXivhKzdAkEc0NEkUAwE3K53CRERo9saGgIw8PDcwqZXC6HXq9flB0bGxuTuM4WVuP/vb29LxFl4414fATCtSGiSCCwjEajgVKphMFgAEVRoCgKBoMBHA7H5DlyuVzweDw4OjquiJISAmGlQkSRQCAQCISLrI2RAwQCgUAgLAAiigQCgUAgXISIIoFAIBAIFyGiSCAQCATCRYgoEggEAoFwESKKBAKBQCBchIgigUAgEAgXIaJIIBAIBMJFiCgSCAQCgXARIooEAoFAIFyEiCKBQCAQCBchokggEAgEwkWIKBIIFuLgwYPYsGEDnJ2d4eXlhZtvvhktLS2m+7u7u8HhcK56+/e//216XG9vL/bs2QMHBwd4eXnhiSeeuGLc1HPPPQd/f39s3rwZra2tjL1GAmG1QUSRQLAQBQUFePjhh3Hu3DmcPn0aOp0OO3bsgFKpBAAEBARcMn9xaGgIzz33HJycnHDDDTcAAAwGA/bs2QOtVouSkhK89957OHz4MJ599lmTnbNnz+LEiRM4evQo7rzzThw4cICV10sgrAbI6CgCgSFGR0fh5eWFgoICbNmy5aqPSU5ORkpKCg4dOgQA+PLLL3HjjTdicHAQ3t7eAIC33noLTz75JEZHR8Hn83H8+HH84x//wL///W9UVVXhkUceQXl5OWOvi0BYTRBPkUBgiKmpKQCAm5vbVe8/f/48Lly4gAceeMD0u9LSUiQkJJgEEQB27twJmUyGhoYG089qtRoODg7YtWsXDh48aMFXQSCsbmzYXgCBsBagKAo//elPkZmZifj4+Ks+5tChQ4iJiUFGRobpdxKJ5BJBBGD6WSKRAABsbW1x6tQpjIyMQCQSgc/nW+hVEAirHyKKBAIDPPzww6ivr0dxcfFV75+ensYHH3yAZ555Zsk2vLy8lvxcAoEwAwmfEggW5sCBAzh+/Djy8vLg7+9/1cd8+umnUKlUuOeeey75vVgsxvDw8CW/M/4sFosts2ACYQ1DRJFAsBA0TePAgQP44osvcObMGYSEhMz52EOHDmHfvn3w9PS85PebNm1CXV0dRkZGTL87ffo0XFxcEBsba7G1EwhrFZJ9SiBYiJ/85Cf44IMPcPToUURFRZl+LxQKIRAITD+3t7cjMjISJ0+exK5duy45hsFgQFJSEnx9ffHyyy9DIpHg7rvvxg9/+EP87ne/Y+y1EAhrBSKKBIKF4HA4V/39u+++i3vvvdf0869//WscOXIE3d3d4HKvDN709PTgoYceQn5+PhwdHfGDH/wAL730EmxsSEoAgWBuiCgSCAQCgXARsqdIIBAIBMJFiCgSCAQCgXARIooEAoFAIFyEiCKBQCAQCBchokggEAgEwkWIKBIIBAKBcBEiigQCgUAgXISIIoFAIBAIFyGiSCAQCATCRYgoEggEAoFwESKKBAKBQCBc5P8DC0aza8yGilAAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "BS_ARRAY.show_element_radiation_pattern();" ] }, { "cell_type": "markdown", "id": "e57e35e9-1a55-4ef9-8f9a-f9b4026cdd6e", "metadata": {}, "source": [ "## Channel Model" ] }, { "cell_type": "markdown", "id": "77b46a8b-34e3-401a-b3f9-30be78c8aa69", "metadata": {}, "source": [ "The 3GPP 38.901 channel model offers five different delay profiles, called \"CDL-A\", \"CDL-B\", \"CDL-C\", \"CDL-D\", and \"CDL-E\".\n", "The first three model non line-of-sight (NLoS) channels, whereas the last two model line-of-sight (LoS) channels.\n", "\n", "Please have a look at the [API documentation](https://nvlabs.github.io/sionna/phy/api/channel/wireless/sionna.phy.channel.tr38901.CDL.html) for more information." ] }, { "cell_type": "code", "execution_count": 7, "id": "5ec8e16d-2fea-4fdd-bab9-8ba0add92c41", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T14:10:12.847481Z", "iopub.status.busy": "2026-02-13T14:10:12.847338Z", "iopub.status.idle": "2026-02-13T14:10:12.852192Z", "shell.execute_reply": "2026-02-13T14:10:12.851515Z" } }, "outputs": [], "source": [ "DELAY_SPREAD = 100e-9 # Nominal delay spread in [s]. Please see the CDL documentation\n", " # about how to choose this value.\n", "\n", "DIRECTION = \"uplink\" # The `direction` determines if the UT or BS is transmitting.\n", " # In the `uplink`, the UT is transmitting.\n", "\n", "CDL_MODEL = \"C\" # Suitable values are [\"A\", \"B\", \"C\", \"D\", \"E\"]\n", "\n", "SPEED = 10.0 # UT speed [m/s]. BSs are always assumed to be fixed.\n", " # The direction of travel will chosen randomly.\n", "\n", "CDL = sn.phy.channel.tr38901.CDL(CDL_MODEL,\n", " DELAY_SPREAD,\n", " CARRIER_FREQUENCY,\n", " UT_ARRAY,\n", " BS_ARRAY,\n", " DIRECTION,\n", " min_speed=SPEED)" ] }, { "cell_type": "markdown", "id": "ea31c965-feec-4783-8e4a-e78972d2121b", "metadata": {}, "source": [ "The instance `CDL` of the CDL model can be used to generate batches of random realizations of continuous-time\n", "channel impulse responses, consisting of complex gains `a` and delays `tau` for each path. \n", "To account for time-varying channels, a channel impulse responses is sampled at the `sampling_frequency` for `num_time_samples` samples.\n", "For more details on this, please have a look at the API documentation of the channel models.\n", "\n", "In order to model the channel in the frequency domain, we need `num_ofdm_symbols` samples that are taken once per `ofdm_symbol_duration`, which corresponds to the length of an OFDM symbol plus the cyclic prefix." ] }, { "cell_type": "code", "execution_count": 8, "id": "35c41d1b-61db-4467-bec5-8942da76dc9e", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T14:10:12.853943Z", "iopub.status.busy": "2026-02-13T14:10:12.853773Z", "iopub.status.idle": "2026-02-13T14:10:12.999204Z", "shell.execute_reply": "2026-02-13T14:10:12.998372Z" } }, "outputs": [], "source": [ "BATCH_SIZE = 128 # How many examples are processed by Sionna in parallel\n", "\n", "a, tau = CDL(batch_size=BATCH_SIZE,\n", " num_time_steps=RESOURCE_GRID.num_ofdm_symbols,\n", " sampling_frequency=1/RESOURCE_GRID.ofdm_symbol_duration)" ] }, { "cell_type": "markdown", "id": "bf9ddb50-c1d0-47ca-a0f3-62a5c71ca076", "metadata": {}, "source": [ "The path gains `a` have shape\\\n", "`[batch size, num_rx, num_rx_ant, num_tx, num_tx_ant, num_paths, num_time_steps]`\\\n", "and the delays `tau` have shape\\\n", "`[batch_size, num_rx, num_tx, num_paths]`." ] }, { "cell_type": "code", "execution_count": 9, "id": "3f2e9b70-9727-420a-a514-1019b8dbb5b2", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T14:10:13.001086Z", "iopub.status.busy": "2026-02-13T14:10:13.000948Z", "iopub.status.idle": "2026-02-13T14:10:13.003910Z", "shell.execute_reply": "2026-02-13T14:10:13.003196Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Shape of the path gains: torch.Size([128, 1, 4, 1, 1, 24, 14])\n", "Shape of the delays: torch.Size([128, 1, 1, 24])\n" ] } ], "source": [ "print(\"Shape of the path gains: \", a.shape)\n", "print(\"Shape of the delays:\", tau.shape)" ] }, { "cell_type": "markdown", "id": "a4219ae1-3e41-400d-8ec7-6c717f5a5864", "metadata": {}, "source": [ "The delays are assumed to be static within the time-window of interest. Only the complex path gains change over time.\n", "The following two figures depict the channel impulse response at a particular time instant and the time-evolution of the gain of one path, respectively." ] }, { "cell_type": "code", "execution_count": 10, "id": "e573ba47-5625-4b69-9411-be2eefe4d0ec", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T14:10:13.005443Z", "iopub.status.busy": "2026-02-13T14:10:13.005324Z", "iopub.status.idle": "2026-02-13T14:10:13.187077Z", "shell.execute_reply": "2026-02-13T14:10:13.186201Z" } }, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a = a.cpu().numpy()\n", "tau = tau.cpu().numpy()\n", "\n", "plt.figure()\n", "plt.title(\"Channel impulse response realization\")\n", "plt.stem(tau[0,0,0,:]/1e-9, np.abs(a)[0,0,0,0,0,:,0])\n", "plt.xlabel(r\"$\\tau$ [ns]\")\n", "plt.ylabel(r\"$|a|$\")\n", "\n", "plt.figure()\n", "plt.title(\"Time evolution of path gain\")\n", "plt.plot(np.arange(RESOURCE_GRID.num_ofdm_symbols)*RESOURCE_GRID.ofdm_symbol_duration/1e-6, np.real(a)[0,0,0,0,0,0,:])\n", "plt.plot(np.arange(RESOURCE_GRID.num_ofdm_symbols)*RESOURCE_GRID.ofdm_symbol_duration/1e-6, np.imag(a)[0,0,0,0,0,0,:])\n", "plt.legend([\"Real part\", \"Imaginary part\"])\n", "\n", "plt.xlabel(r\"$t$ [us]\")\n", "plt.ylabel(r\"$a$\");" ] }, { "cell_type": "markdown", "id": "ff16a2b5-9464-4dd0-b892-1bf36cdc56df", "metadata": {}, "source": [ "See the notebook [Realistic Multiuser MIMO Simulations](https://nvlabs.github.io/sionna/phy/tutorials/notebooks/Realistic_Multiuser_MIMO_Simulations.html) for more advanced examples." ] }, { "cell_type": "markdown", "id": "eca9e19c-fad2-4e8f-ad04-6c1669a86318", "metadata": {}, "source": [ "## Uplink Transmission in the Frequency Domain" ] }, { "cell_type": "markdown", "id": "3a345cc4-dddf-4340-8a47-2eaff529bc11", "metadata": {}, "source": [ "We are now ready to simulate a transmission.\n", "\n", "In the following, the channel is simulated in the frequency domain. Therefore, the channel is assumed to be constant over the duration of an OFDM symbol, which leads to not simulating the intercarrier interference (ICI) that could occur due to channel aging over the duration of OFDM symbols.\n", "\n", "The `OFDMChannel` layer is used to simulate the channel in the frequency domain and takes care of sampling channel impulse responses, computing the frequency responses, and applying the channel transfer function to the channel inputs (including AWGN).\n", "\n", "Note that it is also possible to simulate the channel in time domain using the `TimeChannel` layer, which enables simulation of ICI.\n", "For more information, please have a look at the API documentation." ] }, { "cell_type": "code", "execution_count": 11, "id": "d0e5af5b-e5b3-47b7-8f44-f11c91b6c7e2", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T14:10:13.189223Z", "iopub.status.busy": "2026-02-13T14:10:13.189082Z", "iopub.status.idle": "2026-02-13T14:10:13.251975Z", "shell.execute_reply": "2026-02-13T14:10:13.250974Z" } }, "outputs": [], "source": [ "NUM_BITS_PER_SYMBOL = 2 # QPSK\n", "CODERATE = 0.5\n", "\n", "# Number of coded bits in a resource grid\n", "n = int(RESOURCE_GRID.num_data_symbols*NUM_BITS_PER_SYMBOL)\n", "# Number of information bits in a resource grid\n", "k = int(n*CODERATE)\n", "\n", "# The binary source will create batches of information bits\n", "binary_source = sn.phy.mapping.BinarySource()\n", "\n", "# The encoder maps information bits to coded bits\n", "encoder = sn.phy.fec.ldpc.LDPC5GEncoder(k, n)\n", "\n", "# The mapper maps blocks of information bits to constellation symbols\n", "mapper = sn.phy.mapping.Mapper(\"qam\", NUM_BITS_PER_SYMBOL)\n", "\n", "# The resource grid mapper maps symbols onto an OFDM resource grid\n", "rg_mapper = sn.phy.ofdm.ResourceGridMapper(RESOURCE_GRID)\n", "\n", "# Frequency domain channel\n", "channel = sn.phy.channel.OFDMChannel(CDL, RESOURCE_GRID, add_awgn=True, normalize_channel=True, return_channel=True)\n", "\n", "# The LS channel estimator will provide channel estimates and error variances\n", "ls_est = sn.phy.ofdm.LSChannelEstimator(RESOURCE_GRID, interpolation_type=\"nn\")\n", "\n", "# The LMMSE equalizer will provide soft symbols together with noise variance estimates\n", "lmmse_equ = sn.phy.ofdm.LMMSEEqualizer(RESOURCE_GRID, STREAM_MANAGEMENT)\n", "\n", "# The demapper produces LLR for all coded bits\n", "demapper = sn.phy.mapping.Demapper(\"app\", \"qam\", NUM_BITS_PER_SYMBOL)\n", "\n", "# The decoder provides hard-decisions on the information bits\n", "decoder = sn.phy.fec.ldpc.LDPC5GDecoder(encoder, hard_out=True)" ] }, { "cell_type": "markdown", "id": "81cc8743-85af-4838-8688-729017f59a4b", "metadata": {}, "source": [ "Let's now simulate the transmission, and look at the shape of the layers outputs at each stage.\n", "\n", "The utility function `ebnodb2no` takes as additional input the resource grid to account for the pilots when computing the noise power spectral density ratio $N_0$ from the energy per bit to noise power spectral density ratio $E_b/N_0$ (in dB)." ] }, { "cell_type": "code", "execution_count": 12, "id": "40b4512d-04f5-4f62-9ad0-19d7c037e81c", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T14:10:13.254019Z", "iopub.status.busy": "2026-02-13T14:10:13.253879Z", "iopub.status.idle": "2026-02-13T14:10:13.402723Z", "shell.execute_reply": "2026-02-13T14:10:13.401767Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Shape of bits: torch.Size([128, 1, 1, 912])\n", "Shape of codewords: torch.Size([128, 1, 1, 1824])\n", "Shape of x: torch.Size([128, 1, 1, 912])\n", "Shape of x_rg: torch.Size([128, 1, 1, 14, 76])\n", "Shape of y_rg: torch.Size([128, 1, 4, 14, 76])\n", "Shape of h_freq: torch.Size([128, 1, 4, 1, 1, 14, 76])\n", "Shape of h_hat: torch.Size([128, 1, 4, 1, 1, 14, 76])\n", "Shape of err_var: torch.Size([128, 1, 4, 1, 1, 14, 76])\n", "Shape of x_hat: torch.Size([128, 1, 1, 912])\n", "Shape of no_eff: torch.Size([128, 1, 1, 912])\n", "Shape of llr: torch.Size([128, 1, 1, 1824])\n", "Shape of bits_hat: torch.Size([128, 1, 1, 912])\n" ] } ], "source": [ "no = sn.phy.utils.ebnodb2no(ebno_db=10.0,\n", " num_bits_per_symbol=NUM_BITS_PER_SYMBOL,\n", " coderate=CODERATE,\n", " resource_grid=RESOURCE_GRID)\n", "\n", "# Transmitter\n", "bits = binary_source([BATCH_SIZE, NUM_UT, RESOURCE_GRID.num_streams_per_tx, k])\n", "print(\"Shape of bits: \", bits.shape)\n", "codewords = encoder(bits)\n", "print(\"Shape of codewords: \", codewords.shape)\n", "x = mapper(codewords)\n", "print(\"Shape of x: \", x.shape)\n", "x_rg = rg_mapper(x)\n", "print(\"Shape of x_rg: \", x_rg.shape)\n", "\n", "# Channel\n", "y, h_freq = channel(x_rg, no)\n", "print(\"Shape of y_rg: \", y.shape)\n", "print(\"Shape of h_freq: \", h_freq.shape)\n", "\n", "# Receiver\n", "h_hat, err_var = ls_est (y, no)\n", "print(\"Shape of h_hat: \", h_hat.shape)\n", "print(\"Shape of err_var: \", err_var.shape)\n", "x_hat, no_eff = lmmse_equ(y, h_hat, err_var, no)\n", "print(\"Shape of x_hat: \", x_hat.shape)\n", "print(\"Shape of no_eff: \", no_eff.shape)\n", "llr = demapper(x_hat, no_eff)\n", "print(\"Shape of llr: \", llr.shape)\n", "bits_hat = decoder(llr)\n", "print(\"Shape of bits_hat: \", bits_hat.shape)" ] }, { "cell_type": "markdown", "id": "5f6019b5-3f01-4dd9-a76a-9ec4ff5d6bd9", "metadata": {}, "source": [ "### Creating an End-to-End System\n", "\n", "We can now combine all of the above components into a single `Block` that implements a complete transmission chain.\n", "In Sionna, the `Block` class is the fundamental building block for creating differentiable communication systems.\n", "It inherits from `torch.nn.Module` and provides additional functionality for managing device placement, precision,\n", "and random number generation." ] }, { "cell_type": "code", "execution_count": 13, "id": "f7048ecb-3eef-4dab-8a45-8943f60df7b6", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T14:10:13.404913Z", "iopub.status.busy": "2026-02-13T14:10:13.404757Z", "iopub.status.idle": "2026-02-13T14:10:13.410357Z", "shell.execute_reply": "2026-02-13T14:10:13.409458Z" } }, "outputs": [], "source": [ "class OFDMSystem(sn.phy.Block):\n", " \"\"\"\n", " Complete OFDM system for link-level simulations.\n", " \n", " This class encapsulates the entire transmitter-channel-receiver chain\n", " for an OFDM system with LDPC coding over a CDL channel.\n", " \"\"\"\n", "\n", " def __init__(self, perfect_csi):\n", " super().__init__()\n", "\n", " self.perfect_csi = perfect_csi\n", "\n", " n = int(RESOURCE_GRID.num_data_symbols*NUM_BITS_PER_SYMBOL) # Number of coded bits\n", " k = int(n*CODERATE) # Number of information bits\n", " self.k = k\n", "\n", " # The binary source will create batches of information bits\n", " self.binary_source = sn.phy.mapping.BinarySource()\n", "\n", " # The encoder maps information bits to coded bits\n", " self.encoder = sn.phy.fec.ldpc.LDPC5GEncoder(k, n)\n", "\n", " # The mapper maps blocks of information bits to constellation symbols\n", " self.mapper = sn.phy.mapping.Mapper(\"qam\", NUM_BITS_PER_SYMBOL)\n", "\n", " # The resource grid mapper maps symbols onto an OFDM resource grid\n", " self.rg_mapper = sn.phy.ofdm.ResourceGridMapper(RESOURCE_GRID)\n", "\n", " # Frequency domain channel\n", " self.channel = sn.phy.channel.OFDMChannel(CDL, RESOURCE_GRID, add_awgn=True, normalize_channel=True, return_channel=True)\n", "\n", " # The LS channel estimator will provide channel estimates and error variances\n", " self.ls_est = sn.phy.ofdm.LSChannelEstimator(RESOURCE_GRID, interpolation_type=\"nn\")\n", "\n", " # The LMMSE equalizer will provide soft symbols together with noise variance estimates\n", " self.lmmse_equ = sn.phy.ofdm.LMMSEEqualizer(RESOURCE_GRID, STREAM_MANAGEMENT)\n", "\n", " # The demapper produces LLR for all coded bits\n", " self.demapper = sn.phy.mapping.Demapper(\"app\", \"qam\", NUM_BITS_PER_SYMBOL)\n", "\n", " # The decoder provides hard-decisions on the information bits\n", " self.decoder = sn.phy.fec.ldpc.LDPC5GDecoder(self.encoder, hard_out=True)\n", "\n", " def call(self, batch_size, ebno_db):\n", " \"\"\"Forward pass through the OFDM system.\"\"\"\n", " no = sn.phy.utils.ebnodb2no(ebno_db, num_bits_per_symbol=NUM_BITS_PER_SYMBOL, coderate=CODERATE, resource_grid=RESOURCE_GRID)\n", "\n", " # Transmitter\n", " bits = self.binary_source([batch_size, NUM_UT, RESOURCE_GRID.num_streams_per_tx, self.k])\n", " codewords = self.encoder(bits)\n", " x = self.mapper(codewords)\n", " x_rg = self.rg_mapper(x)\n", "\n", " # Channel\n", " y, h_freq = self.channel(x_rg, no)\n", "\n", " # Receiver\n", " if self.perfect_csi:\n", " h_hat, err_var = h_freq, 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", " bits_hat = self.decoder(llr)\n", "\n", " return bits, bits_hat" ] }, { "cell_type": "markdown", "id": "1a0dd0e7-2bc4-43a5-8ea9-47a3df20a6dd", "metadata": {}, "source": [ "### Running the Simulation\n", "\n", "Now we run BER simulations for both LS channel estimation and perfect CSI.\n", "The `PlotBER` utility makes it easy to run Monte Carlo simulations and plot the results." ] }, { "cell_type": "code", "execution_count": 14, "id": "1a6cd3ac-ea1b-4ec9-8f02-4e8f00b71c59", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T14:10:13.412431Z", "iopub.status.busy": "2026-02-13T14:10:13.412311Z", "iopub.status.idle": "2026-02-13T14:10:25.394141Z", "shell.execute_reply": "2026-02-13T14:10:25.393155Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n", "---------------------------------------------------------------------------------------------------------------------------------------\n", " -8.0 | 4.3150e-01 | 1.0000e+00 | 50372 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -7.421 | 4.2313e-01 | 1.0000e+00 | 49395 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -6.842 | 4.0915e-01 | 1.0000e+00 | 47762 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -6.263 | 4.0056e-01 | 1.0000e+00 | 46760 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -5.684 | 3.8882e-01 | 1.0000e+00 | 45389 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -5.105 | 3.7701e-01 | 1.0000e+00 | 44011 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -4.526 | 3.6298e-01 | 1.0000e+00 | 42373 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -3.947 | 3.4417e-01 | 1.0000e+00 | 40177 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -3.368 | 3.2861e-01 | 1.0000e+00 | 38361 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -2.789 | 3.0912e-01 | 1.0000e+00 | 36086 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -2.211 | 2.9042e-01 | 1.0000e+00 | 33903 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -1.632 | 2.6795e-01 | 1.0000e+00 | 31279 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -1.053 | 2.4026e-01 | 1.0000e+00 | 28047 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -0.474 | 2.0492e-01 | 1.0000e+00 | 23921 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " 0.105 | 1.4728e-01 | 9.8438e-01 | 17193 | 116736 | 126 | 128 | 0.0 |reached target block errors\n", " 0.684 | 3.0796e-02 | 4.4531e-01 | 7190 | 233472 | 114 | 256 | 0.1 |reached target block errors\n", " 1.263 | 4.7638e-04 | 1.0959e-02 | 4004 | 8404992 | 101 | 9216 | 2.2 |reached target block errors\n", " 1.842 | 0.0000e+00 | 0.0000e+00 | 0 | 11673600 | 0 | 12800 | 3.0 |reached max iterations\n", "\n", "Simulation stopped as no error occurred @ EbNo = 1.8 dB.\n", "\n", "EbNo [dB] | BER | BLER | bit errors | num bits | block errors | num blocks | runtime [s] | status\n", "---------------------------------------------------------------------------------------------------------------------------------------\n", " -8.0 | 2.8361e-01 | 1.0000e+00 | 33108 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -7.421 | 2.6357e-01 | 1.0000e+00 | 30768 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -6.842 | 2.4973e-01 | 1.0000e+00 | 29153 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -6.263 | 2.2761e-01 | 1.0000e+00 | 26570 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -5.684 | 2.0400e-01 | 1.0000e+00 | 23814 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -5.105 | 1.7256e-01 | 1.0000e+00 | 20144 | 116736 | 128 | 128 | 0.0 |reached target block errors\n", " -4.526 | 9.7425e-02 | 9.7656e-01 | 11373 | 116736 | 125 | 128 | 0.0 |reached target block errors\n", " -3.947 | 1.5525e-02 | 3.8281e-01 | 5437 | 350208 | 147 | 384 | 0.1 |reached target block errors\n", " -3.368 | 1.6076e-04 | 8.6806e-03 | 1689 | 10506240 | 100 | 11520 | 2.7 |reached target block errors\n", " -2.789 | 0.0000e+00 | 0.0000e+00 | 0 | 11673600 | 0 | 12800 | 3.0 |reached max iterations\n", "\n", "Simulation stopped as no error occurred @ EbNo = -2.8 dB.\n", "\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "EBN0_DB_MIN = -8.0 # Minimum value of Eb/N0 [dB] for simulations\n", "EBN0_DB_MAX = 3.0 # Maximum value of Eb/N0 [dB] for simulations\n", "\n", "ber_plots = sn.phy.utils.PlotBER(\"OFDM over 3GPP CDL\")\n", "\n", "model_ls = OFDMSystem(False)\n", "ber_plots.simulate(model_ls,\n", " ebno_dbs=np.linspace(EBN0_DB_MIN, EBN0_DB_MAX, 20),\n", " batch_size=BATCH_SIZE,\n", " num_target_block_errors=100, # simulate until 100 block errors occurred\n", " legend=\"LS Estimation\",\n", " soft_estimates=True,\n", " max_mc_iter=100, # run 100 Monte-Carlo simulations (each with batch_size samples)\n", " show_fig=False);\n", "\n", "model_pcsi = OFDMSystem(True)\n", "ber_plots.simulate(model_pcsi,\n", " ebno_dbs=np.linspace(EBN0_DB_MIN, EBN0_DB_MAX, 20),\n", " batch_size=BATCH_SIZE,\n", " num_target_block_errors=100, # simulate until 100 block errors occurred\n", " legend=\"Perfect CSI\",\n", " soft_estimates=True,\n", " max_mc_iter=100, # run 100 Monte-Carlo simulations (each with batch_size samples)\n", " show_fig=False);\n", "\n", "ber_plots();" ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.12" } }, "nbformat": 4, "nbformat_minor": 5 }