{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Power Control\n", "\n", "This tutorial demonstrates how to allocate transmission power on a per-user\n", "basis in a 3GPP-compliant multicell scenario in the uplink and downlink direction.\n", "- **Uplink**: Implemented by the [open_loop_uplink_power_control](https://nvlabs.github.io/sionna/sys/api/sionna.sys.open_loop_uplink_power_control.html) function. \n", " This follows the open-loop power allocation procedure in 3GPP TS 38.213 [[1]](#references), where\n", " the transmit power partially compensate for the pathloss by a factor $\\alpha\\in[0;1]$ while\n", " targeting a received power of $P_0$ [dBm];\n", "- **Downlink**: Handled by the [downlink_fair_power_control](https://nvlabs.github.io/sionna/sys/api/sionna.sys.downlink_fair_power_control.html) function.\n", " This function maximizes a fairness function of the attainable throughput across the\n", " users on a per-sector basis.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![power_control_notebook.png](data:image/png;base64,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)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Imports\n", "\n", "We start by importing Sionna and the relevant external libraries:" ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:58:05.220956Z", "iopub.status.busy": "2026-02-13T13:58:05.220721Z", "iopub.status.idle": "2026-02-13T13:58:08.090511Z", "shell.execute_reply": "2026-02-13T13:58:08.089446Z" } }, "source": [ "# Import Sionna\n", "try:\n", " import sionna.sys\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" ], "execution_count": 1, "outputs": [] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:58:08.092463Z", "iopub.status.busy": "2026-02-13T13:58:08.092177Z", "iopub.status.idle": "2026-02-13T13:58:08.095860Z", "shell.execute_reply": "2026-02-13T13:58:08.095120Z" } }, "source": [ "# Additional external libraries\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "# Sionna components\n", "from sionna.phy.utils import dbm_to_watt, watt_to_dbm\n", "from sionna.phy.constants import BOLTZMANN_CONSTANT\n", "from sionna.phy.channel import GenerateOFDMChannel\n", "from sionna.phy.ofdm import ResourceGrid, RZFPrecodedChannel, \\\n", " EyePrecodedChannel, LMMSEPostEqualizationSINR\n", "from sionna.phy.channel.tr38901 import UMi, PanelArray\n", "from sionna.phy.mimo import StreamManagement\n", "from sionna.sys import gen_hexgrid_topology, \\\n", " downlink_fair_power_control, open_loop_uplink_power_control\n", "from sionna.sys.utils import spread_across_subcarriers, get_pathloss\n", "\n", "# Internal computational precision\n", "sionna.phy.config.precision = 'single' # 'single' or 'double'\n", "\n", "# Set random seed for reproducibility\n", "sionna.phy.config.seed = 45" ], "execution_count": 2, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Multicell scenario\n", "\n", "We first create a multicell 3GPP-compliant scenario on which power control will\n", "be performed in both the uplink and downlink directions.\n", "\n", "### Simulation Parameters\n", "\n", "We define the main simulation parameters, including the topology settings, OFDM\n", "resource grid, and transmission power for the base stations and user terminal." ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:58:08.097495Z", "iopub.status.busy": "2026-02-13T13:58:08.097376Z", "iopub.status.idle": "2026-02-13T13:58:08.284380Z", "shell.execute_reply": "2026-02-13T13:58:08.283451Z" } }, "source": [ "# Number of independent scenarios\n", "batch_size = 1\n", "\n", "# Number of rings of the spiral hexagonal grid\n", "num_rings = 1\n", "\n", "# Number of co-scheduled users per sector\n", "num_ut_per_sector = 5\n", "\n", "# OFDM resource grid\n", "num_ofdm_sym = 10\n", "num_subcarriers = 32\n", "subcarrier_spacing = 15e3 # [Hz]\n", "carrier_frequency = 3.5e9 # [Hz]\n", "\n", "# Base station and user terminal transmit power\n", "bs_max_power_dbm = 46 # [dBm]\n", "ut_max_power_dbm = 26 # [dBm]\n", "\n", "# Convert power to Watts\n", "ut_max_power = dbm_to_watt(ut_max_power_dbm) # [W]\n", "bs_max_power = dbm_to_watt(bs_max_power_dbm) # [W]\n", "\n", "# Environment temperature\n", "temperature = 294 # [K]\n", "# Noise power per subcarrier\n", "no = BOLTZMANN_CONSTANT * temperature * subcarrier_spacing\n", "\n", "# Max distance between user terminal and serving base station\n", "max_bs_ut_dist = 80 # [m]" ], "execution_count": 3, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Antenna patterns\n", "\n", "We create the antenna patterns for base stations and user terminals." ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:58:08.286234Z", "iopub.status.busy": "2026-02-13T13:58:08.286102Z", "iopub.status.idle": "2026-02-13T13:58:08.306186Z", "shell.execute_reply": "2026-02-13T13:58:08.305268Z" } }, "source": [ "# Create antenna arrays\n", "bs_array = PanelArray(num_rows_per_panel=3,\n", " num_cols_per_panel=2,\n", " polarization='dual',\n", " polarization_type='VH',\n", " antenna_pattern='38.901',\n", " carrier_frequency=carrier_frequency)\n", "\n", "ut_array = PanelArray(num_rows_per_panel=1,\n", " num_cols_per_panel=1,\n", " polarization='single',\n", " polarization_type='V',\n", " antenna_pattern='omni',\n", " carrier_frequency=carrier_frequency)\n", "\n", "num_ut_ant = ut_array.num_ant\n", "num_bs_ant = bs_array.num_ant" ], "execution_count": 4, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Topology\n", "\n", "Next, we position base stations on a hexagonal grid according to a\n", "3GPP-compliant scenario and randomly distribute users uniformly in each sector. \n", "\n", "For more details on the generation of the topology, see the [Hexagonal Grid Topology notebook](https://nvlabs.github.io/sionna/sys/tutorials/notebooks/HexagonalGrid.html)." ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:58:08.308132Z", "iopub.status.busy": "2026-02-13T13:58:08.307996Z", "iopub.status.idle": "2026-02-13T13:58:08.453852Z", "shell.execute_reply": "2026-02-13T13:58:08.452889Z" } }, "source": [ "# Generate the spiral hexagonal grid topology\n", "topology = gen_hexgrid_topology(batch_size=batch_size,\n", " num_rings=num_rings,\n", " num_ut_per_sector=num_ut_per_sector,\n", " max_bs_ut_dist=max_bs_ut_dist,\n", " scenario='umi')\n", "\n", "ut_loc, bs_loc, *_ = topology\n", "\n", "# N. users and base stations\n", "num_bs = bs_loc.shape[1]\n", "num_ut = ut_loc.shape[1]\n", "\n", "# In the uplink, the user is the transmitter and the base station is the receiver\n", "num_rx, num_tx = num_bs, num_ut" ], "execution_count": 5, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We set and compute the number of streams per user and base station, respectively." ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:58:08.455669Z", "iopub.status.busy": "2026-02-13T13:58:08.455538Z", "iopub.status.idle": "2026-02-13T13:58:08.458342Z", "shell.execute_reply": "2026-02-13T13:58:08.457669Z" } }, "source": [ "# Set number of streams per user\n", "num_streams_per_ut = num_ut_ant\n", "\n", "# Number of streams per base station\n", "num_streams_per_bs = num_streams_per_ut * num_ut_per_sector\n", "\n", "assert num_streams_per_ut <= num_ut_ant, \\\n", " \"The # of streams per user must not exceed the # of its antennas\"" ], "execution_count": 6, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each receiver is associated with its serving base station." ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:58:08.460020Z", "iopub.status.busy": "2026-02-13T13:58:08.459903Z", "iopub.status.idle": "2026-02-13T13:58:08.471065Z", "shell.execute_reply": "2026-02-13T13:58:08.470375Z" } }, "source": [ "# For simplicity, each user is associated with its nearest base station\n", "\n", "# Uplink\n", "# RX-TX association matrix\n", "rx_tx_association_ul = np.zeros([num_rx, num_tx])\n", "idx_fair = np.array([[i1, i2] for i1 in range(num_rx) for i2 in\n", " np.arange(i1*num_ut_per_sector, (i1+1)*num_ut_per_sector)])\n", "rx_tx_association_ul[idx_fair[:, 0], idx_fair[:, 1]] = 1\n", "\n", "# Instantiate a Stream Management object\n", "stream_management_ul = StreamManagement(rx_tx_association_ul, num_streams_per_ut)\n", "\n", "# Downlink\n", "# Receivers and transmitters are swapped wrt uplink\n", "rx_tx_association_dl = rx_tx_association_ul.T\n", "stream_management_dl = StreamManagement(rx_tx_association_dl, num_streams_per_bs)" ], "execution_count": 7, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We create the channel model that will be used to generate the channel impulse responses: " ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:58:08.472760Z", "iopub.status.busy": "2026-02-13T13:58:08.472644Z", "iopub.status.idle": "2026-02-13T13:58:09.450484Z", "shell.execute_reply": "2026-02-13T13:58:09.449669Z" } }, "source": [ "# Create channel model\n", "channel_model = UMi(carrier_frequency=carrier_frequency,\n", " o2i_model='low', # 'low' or 'high'\n", " ut_array=ut_array,\n", " bs_array=bs_array,\n", " direction='uplink',\n", " enable_pathloss=True,\n", " enable_shadow_fading=True)\n", "\n", "channel_model.set_topology(*topology)\n", "channel_model.show_topology()" ], "execution_count": 8, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {} } ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Channel\n", "\n", "Next, the channel frequency response is computed over the OFDM resource grid." ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:58:09.501470Z", "iopub.status.busy": "2026-02-13T13:58:09.501315Z", "iopub.status.idle": "2026-02-13T13:58:09.615503Z", "shell.execute_reply": "2026-02-13T13:58:09.614495Z" } }, "source": [ "# Set up the OFDM resource grid\n", "resource_grid = ResourceGrid(num_ofdm_symbols=num_ofdm_sym,\n", " fft_size=num_subcarriers,\n", " subcarrier_spacing=subcarrier_spacing,\n", " num_tx=num_ut_per_sector,\n", " num_streams_per_tx=num_streams_per_ut)\n", "\n", "# Instantiate the OFDM channel generator\n", "ofdm_channel = GenerateOFDMChannel(channel_model, resource_grid)\n", "\n", "# Generate the OFDM channel matrix in the uplink\n", "# [batch_size, num_rx=num_bs, num_rx_ant, num_tx=num_ut, num_tx_ant, num_ofdm_symbols, num_subcarriers]\n", "h_freq_ul = ofdm_channel(batch_size)\n", "\n", "# [batch_size, num_rx=num_ut, num_rx_ant, num_tx=num_bs, num_tx_ant, num_ofdm_symbols, num_subcarriers]\n", "h_freq_dl = torch.permute(h_freq_ul, [0, 3, 4, 1, 2, 5, 6])" ], "execution_count": 9, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We conclude this section by scheduling users for transmission across the\n", "resource grid. \n", "Note that only one slot is simulated. For more realistic simulations, a\n", "scheduler should be used. This is explained in more details in the [Proportional\n", "Fairness Scheduler notebook](https://nvlabs.github.io/sionna/sys/tutorials/notebooks/Scheduling.html)." ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:58:09.617387Z", "iopub.status.busy": "2026-02-13T13:58:09.617248Z", "iopub.status.idle": "2026-02-13T13:58:09.621425Z", "shell.execute_reply": "2026-02-13T13:58:09.620807Z" } }, "source": [ "# For simplicity, all users are allocated simultaneously on all resources\n", "is_scheduled = torch.full([batch_size,\n", " num_bs,\n", " num_ofdm_sym,\n", " num_subcarriers,\n", " num_ut_per_sector,\n", " num_streams_per_ut],\n", " True)\n", "\n", "num_allocated_subcarriers = torch.full([batch_size,\n", " num_bs,\n", " num_ofdm_sym,\n", " num_ut_per_sector],\n", " num_subcarriers)" ], "execution_count": 10, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Uplink power control\n", "\n", "According to the open-loop power control procedure defined in 3GPP TS 38.213\n", "[[1]](#references), the transmit power allocated to a user compensates the pathloss $PL$ from the\n", "serving base station by a factor\n", "$\\alpha\\in[0;1]$ while targeting a received power $P_0$ [dBm]:\n", "\n", "$P^{\\mathrm{UL}} = \\min \\{ P_0 + \\alpha PL + 10 \\log_{10}(\\mathrm{\\#PRB}), P^{\\mathrm{max}}_{\\mathrm{ut}}\\} \\quad \\mathrm{[dBm]}$\n", "\n", "where $P^{\\mathrm{max}}_{\\mathrm{ut}}$ [dBm] is the maximum transmit power for the terminal\n", "and $\\mathrm{\\#PRB}$ is the number of physical resource blocks allocated to the user. \n", "\n", "As a first step, we compute the pathloss for each user:" ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:58:09.623404Z", "iopub.status.busy": "2026-02-13T13:58:09.623281Z", "iopub.status.idle": "2026-02-13T13:58:09.634860Z", "shell.execute_reply": "2026-02-13T13:58:09.634211Z" } }, "source": [ "_, pathloss_serving_cell = get_pathloss(\n", " h_freq_ul,\n", " rx_tx_association=torch.tensor(rx_tx_association_ul, dtype=torch.int32))\n", "\n", "def group_by_bs(tensor):\n", " tensor = torch.reshape(\n", " tensor, [batch_size, num_bs, num_ut_per_sector, num_ofdm_sym])\n", " # [batch_size, num_bs, num_ofdm_symbols, num_ut_per_sector]\n", " return torch.permute(tensor, [0, 1, 3, 2])\n", "\n", "# Group by base station\n", "# [batch_size, num_bs, num_ut_per_sector, num_ofdm_sym]\n", "pathloss_serving_cell = group_by_bs(pathloss_serving_cell)" ], "execution_count": 11, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The function [open_loop_uplink_power_control](https://nvlabs.github.io/sionna/sys/api/sionna.sys.open_loop_uplink_power_control.html) allocates the user power according\n", "to the procedure described above. \n", "We wrap it into an XLA-compiled function that applies power control and computes\n", "the corresponding SINR." ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:58:09.637025Z", "iopub.status.busy": "2026-02-13T13:58:09.636895Z", "iopub.status.idle": "2026-02-13T13:58:10.223301Z", "shell.execute_reply": "2026-02-13T13:58:10.222527Z" } }, "source": [ "@torch.compile\n", "def get_sinr_uplink(h_freq,\n", " pathloss_serving_cell,\n", " alpha,\n", " p0_dbm,\n", " ut_max_power_dbm,\n", " num_allocated_subcarriers,\n", " is_scheduled):\n", " \"\"\" Compute the uplink SINR \"\"\"\n", "\n", " # Per-user uplink transmit power\n", " # [batch_size, num_bs, num_ofdm_sym, num_ut_per_sector]\n", " ul_power_per_ut = open_loop_uplink_power_control(\n", " pathloss_serving_cell,\n", " num_allocated_subcarriers,\n", " alpha=alpha,\n", " p0_dbm=p0_dbm,\n", " ut_max_power_dbm=ut_max_power_dbm)\n", "\n", " # Spread power uniformly across subcarriers\n", " # [batch_size, num_bs, num_ut_per_sector, num_streams_per_ut, num_ofdm_sym,\n", " # num_subcarriers]\n", " ul_power = spread_across_subcarriers(\n", " ul_power_per_ut,\n", " is_scheduled,\n", " num_tx=num_ut_per_sector)\n", "\n", " ul_power = torch.reshape(ul_power,\n", " [batch_size, num_ut, num_streams_per_ut,\n", " num_ofdm_sym, num_subcarriers])\n", "\n", " # Compute SINR\n", " precoded_channel = EyePrecodedChannel(resource_grid=resource_grid,\n", " stream_management=stream_management_ul)\n", " h_eff = precoded_channel(h_freq, tx_power=ul_power)\n", " lmmse_posteq_sinr = LMMSEPostEqualizationSINR(resource_grid=resource_grid,\n", " stream_management=stream_management_ul)\n", " # [batch_size, num_ofdm_symbols, num_effective_subcarriers, num_rx, num_streams_per_rx]\n", " sinr = lmmse_posteq_sinr(h_eff, no=no, interference_whitening=True)\n", " # [batch_size, num_ofdm_symbols, num_effective_subcarriers, num_ut, num_streams_per_ut]\n", " sinr = torch.reshape(sinr, sinr.shape[:-2] + (num_ut, num_streams_per_ut))\n", " return sinr, ul_power_per_ut\n" ], "execution_count": 12, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Impact of parameters on system performance\n", "\n", "It is interesting to assess the impact of the two key uplink power design\n", "parameters ($\\alpha$ for pathloss \n", "compensation and $P_0$ for target received power) on system performance. \n", "To this aim, we first compute the spectral efficiency distribution as $\\alpha$ and $P_0$ vary.\n" ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:58:10.225763Z", "iopub.status.busy": "2026-02-13T13:58:10.225500Z", "iopub.status.idle": "2026-02-13T13:58:24.159816Z", "shell.execute_reply": "2026-02-13T13:58:24.158884Z" } }, "source": [ "def get_se(sinr):\n", " \"\"\" Compute the spectral efficiency \"\"\"\n", " se_per_ut = torch.sum(torch.log2(1 + sinr), axis=[4])\n", " # Average across OFDM symbols and subcarriers\n", " return torch.mean(se_per_ut, axis=[1, 2])\n", "\n", "\n", "# Values of (alpha, P0) to evaluate\n", "alpha_vec = np.linspace(.5, 1, 50)\n", "p0_dbm_vec = np.arange(-110, -69, 1)\n", "\n", "# Per-user spectral efficiency per user across (alpha, P0) values\n", "se_per_ut_ul_mat = np.zeros([len(p0_dbm_vec), len(alpha_vec), num_ut*batch_size])\n", "ul_power_mat = np.zeros([len(p0_dbm_vec), len(alpha_vec), num_ut*batch_size])\n", "\n", "# Compute the spectral efficiency for each (alpha, P0) pair\n", "for idx_p0, p0_dbm in enumerate(p0_dbm_vec):\n", " for idx_alpha, alpha in enumerate(alpha_vec):\n", " # Compute SINR and UL power distribution\n", " # sinr: [batch_size, num_ofdm_symbols, num_effective_subcarriers, num_ut,\n", " # num_streams_per_ut]\n", " # ul_power_per_ut: # [batch_size, num_bs, num_ofdm_sym, num_ut_per_sector]\n", " sinr, ul_power_per_ut = get_sinr_uplink(\n", " h_freq_ul,\n", " pathloss_serving_cell,\n", " alpha,\n", " p0_dbm,\n", " ut_max_power_dbm,\n", " num_allocated_subcarriers,\n", " is_scheduled)\n", "\n", " # Compute the spectral efficiency\n", " se_per_ut_ul_mat[idx_p0, idx_alpha, :] = get_se(sinr).cpu().numpy().flatten()\n", " # Power allocation\n", " ul_power_mat[idx_p0, idx_alpha, :] = ul_power_per_ut.cpu().numpy().mean(axis=2).flatten()" ], "execution_count": 13, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To illustrate the impact of the design parameters $(\\alpha, P_0)$ on network\n", "performance, we evaluate the $x$-th percentile of the spectral efficiency distribution\n", "across users, that we want to maximize as a function of $(\\alpha, P_0)$. " ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:58:24.162671Z", "iopub.status.busy": "2026-02-13T13:58:24.162532Z", "iopub.status.idle": "2026-02-13T13:58:24.474695Z", "shell.execute_reply": "2026-02-13T13:58:24.473865Z" } }, "source": [ "xth_percentile = 10\n", "metric_mat = np.zeros([len(p0_dbm_vec), len(alpha_vec)])\n", "\n", "for idx_p0, p0_dbm in enumerate(p0_dbm_vec):\n", " for idx_alpha, alpha in enumerate(alpha_vec):\n", " metric_mat[idx_p0, idx_alpha] = np.nanpercentile(\n", " se_per_ut_ul_mat[idx_p0, idx_alpha, :], xth_percentile)\n", "\n", "plt.figure(figsize=(8, 6))\n", "plt.imshow(metric_mat, aspect='auto')\n", "plt.colorbar()\n", "plt.ylabel(r'Target received power $P_0$ [dBm]')\n", "plt.xlabel(r'Pathloss compensation factor $\\alpha$')\n", "plt.title(f'{xth_percentile}-th percentile of user spectral efficiency [bps/Hz]')\n", "plt.yticks(np.arange(len(p0_dbm_vec)), p0_dbm_vec)\n", "plt.gca().invert_yaxis()\n", "show_every = 3\n", "plt.xticks(np.arange(0, len(alpha_vec), show_every), \n", " [f'{alpha_vec[i]:.2f}' for i in range(0, len(alpha_vec), show_every)], rotation=45)\n", "plt.yticks(np.arange(0, len(p0_dbm_vec), show_every), \n", " [p0_dbm_vec[i] for i in range(0, len(p0_dbm_vec), show_every)], rotation=45)\n", "plt.show()" ], "execution_count": 14, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {} } ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The result above arises from the fact that increasing either $\\alpha$ or $P_0$\n", "raises the intended received power at the base station, but also amplifies the\n", "interference to neighboring cells. \n", "Hence, a trade-off between these two\n", "parameters is necessary to optimize system performance." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is also interesting to evaluate the distribution of the power allocation\n", "across users." ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:58:24.476836Z", "iopub.status.busy": "2026-02-13T13:58:24.476705Z", "iopub.status.idle": "2026-02-13T13:58:24.575466Z", "shell.execute_reply": "2026-02-13T13:58:24.574614Z" } }, "source": [ "def get_cdf(values):\n", " \"\"\"\n", " Computes the Cumulative Distribution Function (CDF) of the input\n", " \"\"\"\n", " values = np.array(values).flatten()\n", " n = len(values)\n", " sorted_val = np.sort(values)\n", " cumulative_prob = np.arange(1, n+1) / n\n", " return sorted_val, cumulative_prob\n", "\n", "alpha_po_vec = [(.9, -100), (1., -100), (.9, -80)]\n", "\n", "fig, ax = plt.subplots()\n", "for alpha, po in alpha_po_vec:\n", " idx_p0, idx_alpha = np.argmin(np.abs(p0_dbm_vec - po)), np.argmin(np.abs(alpha_vec - alpha))\n", " ax.plot(*get_cdf(ul_power_mat[idx_p0, idx_alpha, :]*1e3), \n", " label=fr'$\\alpha=${alpha_vec[idx_alpha]:.2f}, $P_0$={p0_dbm_vec[idx_p0]}')\n", "\n", "ax.plot([(dbm_to_watt(ut_max_power_dbm)*1e3).cpu().item()]*2, [0, 1], 'k--', label='max UT power')\n", "ax.set_xlabel('Per-user uplink transmit power [mW]')\n", "ax.set_ylabel('CDF')\n", "ax.legend()\n", "ax.grid()\n", "plt.show()" ], "execution_count": 15, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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", 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" ] }, "metadata": {} } ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As expected, an increase of either the pathloss compensation factor $\\alpha$ or the target received\n", "power $P_0$ leads to a higher power allocation, which eventually saturates at\n", "the maximum transmit power for the user terminal." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Downlink power control\n", "\n", "In the downlink, the base station distributes the per-resource transmit power\n", "$p_u$ across different users $u=1,\\dots,P$.\n", "\n", "The function [downlink_fair_power_control](https://nvlabs.github.io/sionna/sys/api/sionna.sys.downlink_fair_power_control.html) maximizes a fairness\n", "function $g^{(f)}$ defined as in [[2]](#references) of the maximum attainable throughput:\n", "$$\n", "\\mathbf{p}^* = \\operatorname{argmax}_{\\mathbf{p}} \\, \\sum_{u=1}^{U} g^{(f)}\n", "\\big( r_u \\log( 1 + p_u q_u) \\big)\n", "$$\n", "\n", "where $q_u$ is a measure of the channel quality for user $u$ and $r_u$ is the\n", "number of allocated resources for $u$.\n", "\n", "The base station transmit power must not exceed $P^{\\mathrm{max}}_{\\mathrm{bs}}$:\n", "$$\n", "\\sum_{u=1}^U r_u p_u = P^{\\mathrm{max}}_{\\mathrm{bs}}\n", "$$\n", "\n", "Moreover, to ensure that all scheduled users obtain a positive throughput, we can impose a lower bound on the individual allocated powers:\n", "$$\n", "r_u p_u \\ge \\rho \\frac{P^{\\mathrm{max}}_{\\mathrm{bs}}}{U} , \\quad \\forall \\, u=1,\\dots,U\n", "$$\n", "where $0\\le \\rho \\le 1$. Note that if $\\rho=1$, then all users obtain the same\n", "power allocation." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To estimate the channel quality for each user, we compute the pathloss from the\n", "serving cell and the interference from all neighboring cells." ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:58:24.577586Z", "iopub.status.busy": "2026-02-13T13:58:24.577452Z", "iopub.status.idle": "2026-02-13T13:58:24.581459Z", "shell.execute_reply": "2026-02-13T13:58:24.580747Z" } }, "source": [ "# Pathloss\n", "# [batch_size, num_ut, num_bs, num_ofdm_symbols], [batch_size, num_ut, num_ofdm_symbols]\n", "pathloss_all_pairs, pathloss_serving_cell = get_pathloss(\n", " h_freq_dl,\n", " rx_tx_association=torch.tensor(rx_tx_association_dl, dtype=torch.int32))\n", "\n", "# Interference from all base stations\n", "# [batch_size, num_ut, num_ofdm_symbols]\n", "one = torch.tensor(1, dtype=pathloss_serving_cell.dtype)\n", "interference_dl = torch.sum(\n", " one / pathloss_all_pairs, axis=-2) - one / pathloss_serving_cell\n", "interference_dl *= bs_max_power\n", "\n", "# Group by base station\n", "# [batch_size, num_bs, num_ut_per_sector, num_ofdm_sym]\n", "pathloss_serving_cell = group_by_bs(pathloss_serving_cell)\n", "interference_dl = group_by_bs(interference_dl)" ], "execution_count": 16, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Impact of parameters on system performance\n", "\n", "The downlink power allocation procedure in [downlink_fair_power_control](https://nvlabs.github.io/sionna/sys/api/sionna.sys.downlink_fair_power_control.html)\n", "is governed by two parameters:\n", "- the fairness parameter $f$, defined as in [[2]](#references). \n", " If $f=0$, then the sum of throughput is\n", " maximized, favoring users with good channel conditions while potentially\n", " leaving those in poor conditions without power. \n", " As $f$ increases, the allocation becomes more egalitarian across users;\n", "- the guaranteed power ratio $\\rho$, which defines the minimum power allocation\n", " per user.\n", "\n", "To evaluate the impact of these two design parameters on the network performance, we\n", "evaluate the spectral efficiency distribution as $(f,\\rho)$ vary." ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:58:24.583551Z", "iopub.status.busy": "2026-02-13T13:58:24.583431Z", "iopub.status.idle": "2026-02-13T13:58:24.586793Z", "shell.execute_reply": "2026-02-13T13:58:24.586170Z" } }, "source": [ "def get_sinr_downlink(guaranteed_power_ratio,\n", " fairness_dl):\n", " \"\"\" Compute the downlink SINR \"\"\"\n", " # [batch_size, num_bs, num_ofdm_symbols, num_ut_per_sector]\n", " dl_power_per_ut, _ = downlink_fair_power_control(\n", " pathloss_serving_cell,\n", " interference_dl + no,\n", " num_allocated_subcarriers,\n", " bs_max_power_dbm=bs_max_power_dbm,\n", " guaranteed_power_ratio=guaranteed_power_ratio,\n", " fairness=fairness_dl)\n", "\n", " # Spread power uniformly across subcarriers\n", " # [batch_size, num_bs, num_ut_per_sector, num_streams_per_ut, num_ofdm_sym, num_subcarriers]\n", " dl_power = spread_across_subcarriers(\n", " dl_power_per_ut,\n", " is_scheduled,\n", " num_tx=1)\n", "\n", " dl_power = torch.reshape(dl_power,\n", " [batch_size, num_bs, num_streams_per_bs,\n", " num_ofdm_sym, num_subcarriers])\n", "\n", " precoded_channel = RZFPrecodedChannel(resource_grid=resource_grid,\n", " stream_management=stream_management_dl)\n", " h_eff = precoded_channel(h_freq_dl, tx_power=dl_power, alpha=no)\n", "\n", " lmmse_posteq_sinr = LMMSEPostEqualizationSINR(resource_grid=resource_grid,\n", " stream_management=stream_management_dl)\n", "\n", " # [batch_size, num_ofdm_symbols, num_subcarriers, num_ut, num_streams_per_ut]\n", " sinr = lmmse_posteq_sinr(h_eff, no=no, interference_whitening=True)\n", " return sinr, dl_power_per_ut" ], "execution_count": 17, "outputs": [] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:58:24.589004Z", "iopub.status.busy": "2026-02-13T13:58:24.588884Z", "iopub.status.idle": "2026-02-13T13:58:25.208476Z", "shell.execute_reply": "2026-02-13T13:58:25.207602Z" } }, "source": [ "# Fairness parameters to evaluate\n", "fairness_dl_vec = [0, .5, 1]\n", "\n", "# Guaranteed power ratio to evaluate\n", "guaranteed_power_ratio_vec = [0, .3]\n", "\n", "# Per-user spectral efficiency per user across (fairness, guaranteed power ratio) values\n", "se_per_ut_dl_mat = np.zeros([len(fairness_dl_vec),\n", " len(guaranteed_power_ratio_vec), num_ut*batch_size])\n", "dl_power_mat = np.zeros([len(fairness_dl_vec),\n", " len(guaranteed_power_ratio_vec), num_ut*batch_size])\n", "\n", "# Compute the spectral efficiency for each (fairness, guaranteed power ratio) pair\n", "for idx_guar, guaranteed_power_ratio in enumerate(guaranteed_power_ratio_vec):\n", " for idx_fair, fairness_dl in enumerate(fairness_dl_vec):\n", "\n", " # Compute SINR and DL power distribution\n", " sinr, dl_power_per_ut = get_sinr_downlink(guaranteed_power_ratio, fairness_dl)\n", "\n", " # Spectral efficiency\n", " se_per_ut_dl_mat[idx_fair, idx_guar, :] = get_se(sinr).cpu().numpy().flatten()\n", " # Power allocation\n", " dl_power_mat[idx_fair, idx_guar, :] = dl_power_per_ut.cpu().numpy().mean(axis=2).flatten()" ], "execution_count": 18, "outputs": [] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we visualize the spectral efficiency distribution across the different\n", "values of fairness $f$ and guaranteed power ratio $\\rho$." ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:58:25.210911Z", "iopub.status.busy": "2026-02-13T13:58:25.210764Z", "iopub.status.idle": "2026-02-13T13:58:25.392485Z", "shell.execute_reply": "2026-02-13T13:58:25.391568Z" } }, "source": [ "fig, axs = plt.subplots(len(guaranteed_power_ratio_vec),\n", " figsize=(5, 4*len(guaranteed_power_ratio_vec)))\n", "\n", "for idx_guar, guaranteed_power_ratio in enumerate(guaranteed_power_ratio_vec):\n", " axs[idx_guar].set_title(r'Guaranteed power ratio $\\rho$ =' + f'{guaranteed_power_ratio}')\n", " for idx_fair, fairness_dl in enumerate(fairness_dl_vec):\n", " axs[idx_guar].plot(*get_cdf(se_per_ut_dl_mat[idx_fair, idx_guar, :]), label=f'Fairness $f$ = {fairness_dl}')\n", " \n", "for ax in axs:\n", " ax.grid()\n", " ax.legend()\n", " ax.set_xlabel('Per-user spectral efficiency [bps/Hz]')\n", " ax.set_ylabel('Cumulative density function')\n", "fig.tight_layout()\n", "\n", "plt.show()" ], "execution_count": 19, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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", 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" ] }, "metadata": {} } ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The figure above shows that, as fairness $f$ increases, the spectral efficiency\n", "distribution tends to become more balanced, with fewer users receiving poor\n", "service but also fewer achieving high throughput. \n", "It also demonstrates that by increasing the value of guaranteed power\n", "ratio $\\rho$ one can achieve a similar effect as by increasing $f$.\n", "\n", "It is also interesting to evaluate the power allocation distribution for\n", "different values of fairness $f$ and guaranteed power ratio $\\rho$." ] }, { "cell_type": "code", "metadata": { "execution": { "iopub.execute_input": "2026-02-13T13:58:25.394569Z", "iopub.status.busy": "2026-02-13T13:58:25.394435Z", "iopub.status.idle": "2026-02-13T13:58:25.489679Z", "shell.execute_reply": "2026-02-13T13:58:25.488865Z" } }, "source": [ "fairness_guar_ratio_vec = [(0, 0), (0, .5), (1, 0)]\n", "\n", "fig, ax = plt.subplots()\n", "for fairness, guaranteed_power_ratio in fairness_guar_ratio_vec:\n", " idx_fair = np.argmin(np.abs(np.array(fairness_dl_vec) - fairness))\n", " idx_guar = np.argmin(np.abs(np.array(guaranteed_power_ratio_vec) - guaranteed_power_ratio))\n", " ax.plot(*get_cdf(dl_power_mat[idx_fair, idx_guar, :]), \n", " label=fr'$f$={fairness_dl_vec[idx_fair]:.1f}, $\\rho$= {guaranteed_power_ratio_vec[idx_guar]:.1f}')\n", "\n", "ax.plot([dbm_to_watt(bs_max_power_dbm).cpu().item()]*2, [0, 1], 'k--', label='max BS power')\n", "ax.set_xlabel('Per-user downlink transmit power [W]')\n", "ax.set_ylabel('Cumulative density function')\n", "ax.legend()\n", "ax.grid()\n", "plt.show()" ], "execution_count": 20, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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3xWoFDDcA3VUgLxPQZdquTLp+Dti1ELCagXr9gCe+BCSaMNJotuJanhFXc43I0hlxJTsPOy/L8MP/JWPX6atQKWT4ZHAL9G5cRZL4iDwNixvyWvaWGxY35MBigsZ0Hcj4BzBctxUseVk3i5YCxUve1Vu3b76XnGryBDBgGaBwz2SR9mn7s3RGXNUZkaUzIEtnQpbOYLufa7QVMjpbIZOVa0SOwezkTAoAV6FRyvHpsy3RpV64W+Ij8gUsbshrcZ6bcsKocyxExOLEWaGSCZX+BnoDwFEXn0cTDPhXsl2V5F8J8A8DopoDrZ4H5EW/x6xWATfyTbeKkduLldu+ruqMpZopVyGXoaK/GpUC1AjxV8KQfRVNakfjidY10LRaiMvnI/JlLG7Ia4ktN3K23HglfTZwfg+QffFmcVJEwXJzgVRXCJAB/pUgK1isBITZChan20ILdTkJgoD/MnX4+0g6snINBVpaHL+u5Rnh4hQwAGyz5FYKUCM0UI3QAI3t9m1flQLUqHjze7BWJV4SbTKZsGHDBvTt28DppeBEUvL395c6BBY35J0EQRDXluKAYi9hMQMXDwD/bQdObwcu7Cu+O6gghdpWhATcbFEp2Lpy2zaTugI2bN+Nvv0ecvkff5bOiF2nMrHzZCZ2nsrExeslL6yCtMoCBYoGoQGqoouWQDX81Xzfku8JCAiATqcDwOUXiFx2VX8V+eZ8yGVyhPtzrIFHEgQg679bxUzqjsKT2oXWAirVuXPrijqw5FcmmUxACcdhGcwWHDh7DTtPZuLPk5k4eumGw0rPaoUcTapVQESw5lbR4q9CaOCtosXWTaTm5dREHoTFDXmlE9dOAABqBNWAVqmVOBoS5WXZipj/tgOnt9muOCpIGwLU6gLc1xWo1RWoGH1Pw7NaBZzMyMWfJ69g56lM7PkvC/kmx9ajehFB6FgnDB3qhKFNzUrwU3NMF5G3YXFDXun09dMAgNohtSWOpBzLzQAuH7KtTH35kO3r9mJGrgKqt7EVM/d1Bao0L3ZwrjuZLVb8dzUHRy/ewNFLN/D3xWz8fekGdEbHYiYsUIOOdcJsBU3tMIQHs1gmKi29Xo/HHnsMALBq1SrJ4pC8uFmyZAnef/99pKWloVmzZvjkk08QGxtb5P4LFy7EsmXLcO7cOYSFheHxxx/HvHnzoNXyD1J5kmPMAQCEakMljqQcEATboF97AWP/yrnsfP+werYJ7+7rCkS3d21ZgVIymC04mZ6Loxdv4PCFa9j1jwKv79sGg5OrkrQqOWJrVkLH2rbWmfqRQZBJPBkfka+wWCzYsGGDeFsqkhY3q1evRlxcHJYvX442bdpg4cKF6NWrF44fP47w8MLjKL777jtMnjwZK1asQLt27XDixAk899xzkMlkWLBggQQZkFQE2AZG8J+SmwkCcC21cCGTd9XJzjIgrC5QpSlQpZntK7IJ4FexTEPMN1rwb1o2/r54A0cvZuPopRs4kZ4Dk6XgJUsyAFYEqBVoFFUBjaoGo3FUBTSuWgH3VQ7gGklEPk7S4mbBggUYOXIkhg8fDgBYvnw51q9fjxUrVmDy5MmF9k9KSkL79u0xZMgQAEBMTAwGDx6MPXv2FPkcBoMBBoNBvJ+dbRvQaDKZ3D6S234+KUeIlyVPys/+iUCwCm6Nx5NyLCsOOQoCkHUa8tREyP7bDtm5JMicrGQtyJVAWH0IkU1tX1WaQghvaBvoW/gJ3BqvwWTBgXPXsev0Vew8dRXH0nKcXnpdwU+JRlWCUT8iAJbMMxjUsx3uCw8utKK0YLXAZJXuE6U7lLv3qQ/y1fwK5uPuHF05j0wQhFLM0HD3jEYj/P398dNPP2HAgAHi9mHDhuH69ev45ZdfCh3z3XffYcyYMdiyZQtiY2Px33//oV+/fnj22WcxdepUp88za9YszJ492+m5POFafCqdrflbkWhIxAPqB/CQ/0NSh+NVVOZcVM75B5VzjiA852/4GzMdHrfIVMj2q47rftG44R+DG/7RyNZWg1WuvifxCQJwOR84fl2GY9dlOJ0jg8nqWKAEqQRUDxBQLQCoFiCgWoCAUI3kSz0RlXt6vR5PPfUUANuYG3cOGcnLy8OQIUNw48YNBAcHF7uvZC03mZmZsFgsiIiIcNgeERGBY8eOOT1myJAhyMzMRIcOHSAIAsxmM0aNGlVkYQMAU6ZMQVxcnHg/Ozsb1atXR8+ePe/4w3GVyWTC1q1b0aNHD5+cWMuT8judchqJ/ySiVs1a6Nuyr9vO60k5uo3FCNmFfZDZW2cup0CGW59pBLkKQvU2EGp2gVCzM4SIxghUqBAIoNo9CvFKjgFJp69i1+mr2HU6Cxk5BofHKweq0aF2JbS/rxLa1ApFZDGDfn3yNbwNc/R+vpqffY4bAOjWrRuSkpLclqO956UkJB9Q7IqEhATMnTsXS5cuRZs2bXDq1CmMHz8eb731FqZPn+70GI1GA42m8GJ3KpWqzN5QZXluT+AR+d38hK5UKMskFo/I8U4EwTZvjJMlCGzfs2yDfs/vBUw6h0OztVUR0PQhKOr0gCy6HWTqgDIJ0WyxIivPyRIEBdZPOp2Ri2NpOQ7HaVVytKlZ6eZVTJVRNyLQ5fFVXvEa3iXm6P18Lb+CudhvuytHV84hWXETFhYGhUKB9PR0h+3p6emIjIx0esz06dPx7LPP4oUXXgAANGnSBDqdDi+++CLefPNNTsNfjtgHFPvUoplWi60gcViCIPPWsgTO1leylrAPOqDyzfllusFUvQO270xG3x59oXDxD06+0YKrOgOu6Uy4qjM4rJd0zcnyBDfyS95H3rhqMDrUroxOdcJwf3RFaFWcX4aISkey4katVqNly5aIj48Xx9xYrVbEx8dj3LhxTo/Jy8srVMAoFLY/gBINHSIqmklf5OKOhQuVTCD/OoBSvI/Vgba1kcQlCG6ulWS/XaUZENEYsP/umEwAkiEIAm7k2YqUa3m21pSChYqztZRun/CuJGQyoKK/8/WSQgPUiAzWIrZmKCoFFm5hJSLvEhAQIP4/LrfLL8TFxWHYsGFo1aoVYmNjsXDhQuh0OvHqqaFDh6Jq1aqYN28eAODhhx/GggUL0KJFC7Fbavr06Xj44YfFIofonko7Ahz+4bbuoJtdQsbc0p3Tr+Jt6ycVWJYgIOy2QqYSoPIr8lRWq4AfD5zH33v/sRUquUZczTUg7ZoCE/f8AXMpVnxUK+QOayTZCxdxEUj/W4+FBmhQwU8FhZwjfYno3ilVcRMfH4/4+HhkZGTAanWcJGvFihUlPs+gQYNw5coVzJgxA2lpaWjevDk2bdokDjI+d+6cQ0vNtGnTIJPJMG3aNFy8eBGVK1fGww8/jHfeeac0aZAXs68ILoOE/zRPbwO+H1L8qtVyZRFFiX3Bx0qO2/wqAgr3fOYwW6x4/afDWJN80cmjMthbiQI1SoTe1ppib10JddimQcUAFQI1Ss4vREQezeW/orNnz8acOXPQqlUrVKlS5a7/yI0bN67IbqiEhASH+0qlEjNnzsTMmTPv6jnJ++XebBUJUgdJE8CxDcCPwwCLEYjuANR+8LbWlZuFi7aCJNcnG81WjF+VjI1H06CQy/BcuxhUDfFDpUA1gjUK/JO8Bw/37IbwCv4c20JEbqPX6/Hss88CcK2xw91cLm6WL1+OlStXisETSeGG4QYAoIKmwr15QqsVyL959dG5v4CNbwCCBWjwMPDY/wCl9ONFDGYLMrINyMjRY/G2U9h+/ArUCjkWD2mBno1uDdI3mUzIPgFUqaCFioUNEbmRxWLBTz/9BAD4/PPPJYvD5eLGaDSiXbt2ZRELUYllG23zHQSr73KuIkEA8q/Zipacy5Bdv4Q6aYmQb0oEdOlATprtKzcNsJodj236FNB/idu6kYpiNFtxJdeA9Gy9WLykZ+uRnu247Vqe4+A9rUqOz4e2Qsc6lcs0PiIiT+PyX+UXXngB3333XZHzyhDdC0arEQCgUhRxKbMgAPrrQE76zcIlzfF7boHtFqN4mBJAQwAoYk1IBFQGgiKBev2Azm/cugKpFMwWKzJzjTcLFT3ScwzIuHk7I8eA9Gzb/as6451PdpNaKUdEsAbVK/ojrkddtIrhwqJEVP64XNzo9Xp89tln+OOPP9C0adNCk+pwAUsqM4IAmPWAIQdWYx4AQHEmCTh/tHDxkpNm27ek/CsBQVVgDYjA+etGVGvQGooKUUBQlZtfkUBgOFBUMXWTxSpAZzRDZzAjM8dYoFDR32xxMYitLld1BpR0BgOVQobwIC3CgzWICNIiIliD8GAtIoJttyOCtQgPsl2ZxMG+RFTeuVzcHD58GM2bNwcAHD161OEx/lGlQqwW2yXRhlzAkHPzds6tbcZc2yy74u1cwJhz2/4Ftt28SsoSFQlo1JDvXgzkF1PEaENuFScO3yOAoCoQAiNg0FaGzqKAzmDBdZ0efyT+iSZRraE3A7ocM3IzzdAZ8qAznkKuwYxcva14yTWYbxYyFnG7q/PAKOQyhAfdLFSCNGKxIhYyNwuYED9VoQUgiYjIOZeLm+3bt5dFHOQpBAEwG24VIQUKDFn+ddTI3A35nrOAOc9JkXKzUCm4zZRXJmHmy20DYeWVGiFLUwP5msrIUYfhhjIM1+ShyJRVQqZQAdfNSrEQyc0yQ3f5VjGiM15Hrj7TyVwvSuDv5LuKTymXoVKgGuEFW1mCCrSy3CxgKgWoWbQQEbnZXY2EvHDhAgCgWrV7tbweOWW12goJhxaSnAJFR04JWk8KFDK3D5y9SQmgBQCcdz1EQa6CoA6EVRUAsyoAZkUAjIoAGBT+yJf5IV/mBx38oBO0yBG0uGHV4oZFi2sWNa6ZNbhqUiPTqEKGUY1MoxL+srmQIxdDzw+G1RDl5Blzbn6VnJ9KgQCNAjAbEF4xGEFa25wuATe/AjWKm9+V4vaC3223bftolHK2ZBIRScTl4sZqteLtt9/Ghx9+iNzcm3ONBAVh4sSJXN/pXrKYge+fAs4mFVoU0W1UARA0toLEogqESe6HtGwj/MOqQi+3FSU6wQ85ghbZVg1uWLW4ZtYgy6zGVaMamSY1rhiUSDdqoLMoADc24sjktq6oAFUggrTaAgVIwYJDUcR2WxEi3tcqEaBWQiGXwWQyYcOGDejbt61PLWZHRHQv+Pv7i7WBlH9DXS5u3nzzTfzvf//D/Pnz0b59ewDAzp07MWvWLOj1es4WfK+c2QGc2uq4Ta60rTOkCQLUgbCqA2FRBsCoDIBR4Q+9zA/5Mn/ooIUOWmRb/ZAtaHHdrME1sxpXzWpcNalxxajCFb0S2QYBubnmwoNes0oftkYpR5D2ZmuI2rG1I+hmkVGwRSRAoyi0XauWocdaW+vSn5P6IEQbUvqAiIjIbWQyGQICAgB42dpSX331Fb744gs88sgj4ramTZuiatWqGDNmDIsbNxAEAfkmC3L0ZuToTTe/m8X7uQYz2hxZiSYA9oX0xg8VRuKKWYUsvRy5BguydWbkXDXBYLbe8bmKiACA45tSpZAhUKOEwmJERCVbl43tS4ngm903QVqlrStHq7y5XYlAje1+oNpWqCgVd9+ypy9wFZRaob7r8xERkW9xubjJyspC/fr1C22vX78+srLu4iN9OSIIAlIzddiTmoV9qVm4cD3foZDJNZhhKWZBQyXM2K/5A5ABCzJaYneaAYChyP391YpbhYdG6bQgCdLaumeCC97X3LqtUcphNps9osvGPscNAKjk7DoiIvIUBoMBL730EgBg8eLFksXhcnHTrFkzLF68GB9//LHD9sWLF6NZs2ZuC8yXWK0CTmTkYG9qFvb8l4U9qVnIzC26GLGTy1CoIAnSKlFLdhEhqToY5P7o2L0/+vppnBYkwVqV21pLPIm5wIBnpVzShe2JiKgAs9mMr776CgCwcOFCyeJw+T/De++9h379+uGPP/5A27ZtAQC7d+/G+fPnsWHDBrcH6I3MFiv+Tb+OvalZ+Ou/LOw7k4Ub+Y7dPGqlHC2qh6BNzVDUjQwqUJDYunKCtEr4qxXOr7jJCAKWAhqtH8Z0q3ePsvIcFqttLhm5jFckERFRYS4XN507d8aJEyewZMkSHDt2DAAwcOBAjBkzBlFRzi7JLR8EQcB3e89j1b9yTD24HTqD42Ru/moFWkZXRJuaoYitWQlNq1XgasylZBFuFTdERES3K1WbflRUFAcO3+ZEei5m/vYvADkAC4K1SsTWDL35VQmNooKh8rHuIanYixuFjMUhEREVVqLi5vDhw2jcuDHkcjkOHz5c7L5NmzZ1S2DeRme0jQMJVAn4bmQ7NKpWEQrOPFsmrILtKjC23BARkTMlKm6aN2+OtLQ0hIeHo3nz5pDJZBCcrPgnk8lgsbi2to6v0ciBBlWCWNiUIXtxw5YbIiJypkTFTWpqKipXrizeJpKSvVuKg4mJiMiZEhU30dHR4u2zZ8+iXbt2UCodDzWbzUhKSnLYl6gsmCy2K8/Uck7gR0TkSfz9/ZGRkSHelorLgxa6du3qdLK+GzduoGvXrm4Jiqg4RottEj+NQiNxJEREVJBMJkPlypVRuXJlSVvXXS5uBEFwGvDVq1fF9SSIypLBYpsAkUsvEBGRMyW+FHzgwIEAbFXZc889B43m1qdmi8WCw4cPo127du6PkOg2bLkhIvJMBoMBcXFxAIB3331XsjhKXNxUqFABgK3lJigoCH5+fuJjarUaDzzwAEaOHOn+CIluo7fYFs7UKFncEBF5ErPZjKVLlwKApPPhlbi4+fLLLwEAMTExeO211yQdKETlm71bii03RETkjMtjboYOHYqLFy8W2n7y5EmcOXPGHTERFcu+cCZXBCciImdcLm6ee+45JCUlFdq+Z88ePPfcc+6IiahYAmwTSMrAeW6IiKgwl4ub5ORktG/fvtD2Bx54ACkpKe6IiahkWNsQEZETLhc3MpkMOTk5hbbfuHGj3C+9QPeGffkFttwQEZEzLhc3nTp1wrx58xwKGYvFgnnz5qFDhw5uDY7IGZPVNkMxx9wQEZEzJb5ayu7dd99Fp06dUK9ePXTs2BEA8OeffyI7Oxvbtm1ze4BEt7Mvv8DihojIs/j5+YlrUBacMuZec7nlpmHDhjh8+DCefPJJZGRkICcnB0OHDsWxY8fQuHHjsoiRyIH9aiml3OXanIiIypBcLkdMTAxiYmIgl7tcYrhNqf47REVFYe7cue6OhcglXBWciIicKVVxc/36dezduxcZGRmwWq0Ojw0dOtQtgREREZF3MRqNePPNNwEAs2bNkiwOl4ub3377DU8//TRyc3MRHBzs8OlZJpOxuKEyZ5/nhoiIPIvJZMIHH3wAAGKRIwWXO8QmTpyI559/Hrm5ubh+/TquXbsmfmVlZZVFjERO8VJwIiJyxuXi5uLFi3jllVe4thQRERF5JJeLm169emH//v1lEQtRiQgCl18gIqKiuTzmpl+/fnjttdfwzz//oEmTJlCpHOcaeeSRR9wWHFFxeLUUERE543JxM3LkSADAnDlzCj0mk8m4BAOVOQ4oJiKi4rhc3Nx+6TcRERGRJ+EUr+R1LIKtdVAuk272SyIiKszPzw9Hjx4Vb0vF5eLGWXdUQTNmzCh1MEQlYV84Uy1XSxwJEREVJJfL0ahRIwC2OW+k4nJxs3btWof7JpMJqampUCqVuO+++1jcUJmzL5zJtaWIiMgZl/87JCcnF9qWnZ2N5557Do8++qhbgiIqjlngwplERJ7IaDSKa0++9tprksXhlkELwcHBmD17NqZPn+6O0xEVyz7PDcfcEBF5FpPJhNmzZ2P27NmSdku57b/DjRs3cOPGDXedjqhIVsF2xR7nuSEiImdcbtf/+OOPHe4LgoDLly/jm2++QZ8+fdwWGFFR7PPccIZiIiJyxuXi5qOPPnK4L5fLUblyZQwbNgxTpkxxW2BEREREpVGi4ubw4cNo3Lgx5HI5UlNTyzomIiIiolIr0ZibFi1aIDMzEwBQq1YtXL16tUyDIiqOfUAxERGRMyUqbkJCQsQWmzNnznAJBvIIvFqKiIicKVG31GOPPYbOnTujSpUqkMlkaNWqFRQKhdN9//vvP7cGSHQ78WopDigmIvIoWq0We/fuFW9LpUTFzWeffYaBAwfi1KlTeOWVVzBy5EgEBQWVdWxETnFtKSIiz6RQKNC6dWsAXrL8Qu/evQEABw4cwPjx41nckOQ4zw0RETnj8qXgX375ZVnEQURERF7OaDRi0aJFAIAxY8ZIFgcX5yEiIiK3MJlMeP311wEAI0eOlCwOyQctLFmyBDExMdBqtWjTpo04EKko169fx9ixY1GlShVoNBrUrVsXGzZsuEfREhERkaeTtOVm9erViIuLw/Lly9GmTRssXLgQvXr1wvHjxxEeHl5of6PRiB49eiA8PBw//fQTqlatirNnzyIkJOTeB0+Ssc9zw6uliIjIGZeLG51Oh4CAALc8+YIFCzBy5EgMHz4cALB8+XKsX78eK1aswOTJkwvtv2LFCmRlZSEpKQkqlQoAEBMTU+xzGAwGGAwG8X52djYAW9OZO0dym81m8XaZjxA3m6ECIAAw38PR6Pa8pBwBD0CcZ8lqtbo9Fk/JsSz5eo6+nh/AHH2Br+ZXMB935+jKeWSCi9O9BgYG4sknn8Tzzz+PDh06uBycndFohL+/P3766ScMGDBA3D5s2DBcv34dv/zyS6Fj+vbti9DQUPj7++OXX35B5cqVMWTIELzxxhtFzrsza9YszJ49u9D27777Dv7+/qWO/3ZncoCPjipRSSNgxv0Wt53XmaD8i+h2bAoMyiBsarKkTJ/LE/2S9wv2Gfehm7Ybumm7SR0OERHdpNfr8dRTTwEAVq1a5da5bvLy8jBkyBDcuHEDwcHBxe7rcsvN//3f/2HlypXo1q0bYmJi8Pzzz2Po0KGIiopy6TyZmZmwWCyIiIhw2B4REYFjx445Pea///7Dtm3b8PTTT2PDhg04deoUxowZA5PJhJkzZzo9ZsqUKYiLixPvZ2dno3r16ujZs+cdfziuSD5/HR8dtY0X6tGjh9iyVCauHAeOAWq1Gn379i2757mNyWTC1q1byz6/O0jem4x9p/ahXp166NvEvfl7So5lyddz9PX8AOboC3w1P51OJ97u1q0bkpKS3JajveelJFwubgYMGIABAwbgypUr+Oabb7By5UpMnz4dvXr1wvPPP49HHnkESmXZDOWxWq0IDw/HZ599BoVCgZYtW+LixYt4//33iyxuNBoNNBpNoe0qlcqtb6iCObv73E6eDAAgu/lc91qZ53cHcrltHLxcIS+zOKTO8V7w9Rx9PT+AOfoCX8uvYC722+7K0ZVzlPpqqcqVKyMuLg6HDx/GggUL8Mcff+Dxxx9HVFQUZsyYgby8vGKPDwsLg0KhQHp6usP29PR0REZGOj2mSpUqqFu3rkMXVIMGDZCWlgaj0VjaVMjLCODCmUREnkir1WL79u3Yvn27pMsvlLq4SU9Px3vvvYeGDRti8uTJePzxxxEfH48PP/wQa9ascRhH44xarUbLli0RHx8vbrNarYiPj0fbtm2dHtO+fXucOnXKYeHOEydOoEqVKlCr1aVNhbyMfZgYl18gIvIsCoUCXbp0QZcuXYocC3svuNx/tGbNGnz55ZfYvHkzGjZsiDFjxuCZZ55xuBy7Xbt2aNCgwR3PFRcXh2HDhqFVq1aIjY3FwoULodPpxKunhg4diqpVq2LevHkAgNGjR2Px4sUYP348Xn75ZZw8eRJz587FK6+84moa5MXsLTe8FJyIiJxxubgZPnw4nnrqKezatUtcHOt2UVFRePPNN+94rkGDBuHKlSuYMWMG0tLS0Lx5c2zatEkcZHzu3DlxfAUAVK9eHZs3b8arr76Kpk2bomrVqhg/fjzeeOMNV9MgLyauCs61pYiIPIrJZMJnn30GAGJDhRRcLm4uX758x0uo/fz8ihzge7tx48Zh3LhxTh9LSEgotK1t27b466+/SnRu8k1iccOWGyIij2I0GsX/6U8//bRkcbg8aCEoKAgZGRmFtl+9elXS/jUqf9hyQ0REzrhc3BQ155/BYOCgXrqn2HJDRETOlLhb6uOPPwZg+7T8xRdfIDAwUHzMYrFgx44dqF+/vvsjJCoCixsiInKmxMXNRx99BMDWcrN8+XKHLii1Wo2YmBgsX77c/RESERERuaDExU1qaioAoGvXrlizZg0qVqxYZkERERERlZbLV0tt3769LOIgKjEX13olIqJypkTFTVxcHN566y0EBAQ4LELpzIIFC9wSGFFRrOA8N0REnkij0eD3338Xb0ulRMVNcnIyTCaTeLso/GdD9wJbboiIPJNSqUS/fv0AQKwbJImjJDsV7IpitxRJjcsvEBFRce565cHs7GysW7cOx44dc0c8RHdkn6FYIeekkUREnsRkMmHlypVYuXKlpC03Lhc3Tz75JBYvXgwAyM/PR6tWrfDkk0+iSZMm+Pnnn90eINHt7MUNVwUnIvIsRqMRw4cPx/Dhw2E0GiWLw+X/Djt27EDHjh0BAGvXroUgCLh+/To+/vhjvP32224PkOh2YsuNjC03RERUmMvFzY0bNxAaGgoA2LRpEx577DH4+/ujX79+OHnypNsDJLqdyWpr6lTJVRJHQkREnsjl4qZ69erYvXs3dDodNm3ahJ49ewIArl27Bq1W6/YAiW5ntNiaOlUKFjdERFSYy5P4TZgwAU8//TQCAwMRHR2NLl26ALB1VzVp0sTd8REVwpYbIiIqjsvFzZgxYxAbG4vz58+jR48ekMttjT+1atXimBu6JzjmhoiIiuNycQMArVq1QqtWrRy22SftISpr9uKGk0YSEZEzLhc3FosFK1euRHx8PDIyMmC1Wh0e37Ztm9uCI3LGPkMxJ/EjIvIsGo0GP/zwg3hbKi4XN+PHj8fKlSvRr18/NG7cmJ+e6Z6zCBYAgFJeqoZHIiIqI0qlEk888QQAL1h+oaBVq1bhhx9+QN++fcsiHqI7shc3HHNDRETOuFzcqNVq1K5duyxiISoRsbjh8gtERB7FbDZj7dq1AICHHnpIsjhcnudm4sSJWLRoEVdmJsnY33vyu18ajYiI3MhgMODJJ5/Ek08+CYPBIFkcLrfc7Ny5E9u3b8fGjRvRqFEjqFSOc42sWbPGbcERERERucrl4iYkJASPPvpoWcRCREREdNdcLm6+/PLLsoiDqMTYJUpERMUp1aAFs9mMP/74A59++ilycnIAAJcuXUJubq5bgyNyRsDNeW44DQERETnhcsvN2bNn0bt3b5w7dw4GgwE9evRAUFAQ3n33XRgMBixfvrws4iQiIiIqEZdbbsaPH49WrVrh2rVr8PPzE7c/+uijiI+Pd2twRM7YW26IiIiccbnl5s8//0RSUhLUarXD9piYGFy8eNFtgREVRbwUXMZLwYmIPIlarRbH5t5eJ9xLLhc3VqsVFoul0PYLFy4gKCjILUERFUccc8O1pYiIPIpKpcJzzz0HQNrlF1z+6NuzZ08sXLhQvC+TyZCbm4uZM2dySQa6J8SFMzmgmIiInHC55ebDDz9Er1690LBhQ+j1egwZMgQnT55EWFgYvv/++7KIkcgBW26IiDyT2WzG5s2bAQDdunWTLA6Xi5tq1arh0KFDWLVqFQ4fPozc3FyMGDECTz/9tMMAY6KywnluiIg8k8FgENeUunbtmmRxuFzcALYlzZ955hl3x0JUIpznhoiIilOi4ubXX38t8QkfeeSRUgdD5Ap2SxERkTMlKm4GDBjgcF8mkxXqGrB/inZ2JRVRWWBxQ0REzpToaimr1Sp+bdmyBc2bN8fGjRtx/fp1XL9+HRs3bsT999+PTZs2lXW8RBxzQ0RExXJ5zM2ECROwfPlydOjQQdzWq1cv+Pv748UXX8S///7r1gCJbscxN0REVByX57k5ffo0QkJCCm2vUKECzpw544aQiIrHS8GJiKg4LrfctG7dGnFxcfjmm28QEREBAEhPT8drr72G2NhYtwdIVCTWNkREHkWtVmPx4sXibam4XNysWLECjz76KGrUqIHq1asDAM6fP486depg3bp17o6PqBCOuSEi8kwqlQpjx44FIO3yCy4XN7Vr18bhw4exdetWHDt2DADQoEEDdO/enWMg6J5gtxQRERWnVJP4yWQy9OzZEz179nR3PER3JK4txeKGiMijWCwW/PnnnwCABx54QLI4SlXcEEmJV0sREXkmvV6Prl27ApB2+QWXr5YikhpbboiIqDgsbsjrsOWGiIiKw+KGvBZbboiIyJlSFTenT5/GtGnTMHjwYGRkZAAANm7ciL///tutwREVh8UNERE543Jxk5iYiCZNmmDPnj1Ys2YNcnNzAQCHDh3CzJkz3R4g0e04zw0RERXH5eJm8uTJePvtt7F161aH2Qe7deuGv/76y63BETnDMTdERFQcly8FP3LkCL777rtC28PDw5GZmemWoIhKgt1SRESeRaVS4b333hNvS8Xl4iYkJASXL19GzZo1HbYnJyejatWqbguMqCj2lhsiIvIsarUar732GgBpl19wuVvqqaeewhtvvIG0tDTIZDJYrVbs2rULkyZNwtChQ8siRiIiIqISc7m4mTt3LurXr4/q1asjNzcXDRs2RKdOndCuXTtMmzatLGIkcsABxUREnslisWDfvn3Yt28fLBaLZHG43C2lVqvx+eefY/r06Th69Chyc3PRokUL1KlTpyziIyqEA4qJiDyTXq9HbGwsAGmXX3C5uNm5cyc6dOiAGjVqoEaNGmURE1HxbjbccEAxERE543K3VLdu3VCzZk1MnToV//zzj1uCWLJkCWJiYqDVatGmTRvs3bu3RMetWrUKMpkMAwYMcEsc5B2ssAIA5DJOsE1ERIW5/N/h0qVLmDhxIhITE9G4cWM0b94c77//Pi5cuFCqAFavXo24uDjMnDkTBw8eRLNmzdCrVy9x5uOinDlzBpMmTULHjh1L9bzkvYwWIwBArVDfYU8iIiqPXC5uwsLCMG7cOOzatQunT5/GE088ga+++goxMTHo1q2bywEsWLAAI0eOxPDhw9GwYUMsX74c/v7+WLFiRZHHWCwWPP3005g9ezZq1arl8nOS9xIEASar7fJCpdzlXlUiIioH7uq/Q82aNTF58mQ0a9YM06dPR2JiokvHG41GHDhwAFOmTBG3yeVydO/eHbt37y7yuDlz5iA8PBwjRozAn3/+WexzGAwGGAwG8X52djYA2/X37rwG32w2i7fL/Np+sxkq2IaemO/hPAL2vKScu8Be2ACAzCpzeyyekGNZ8/UcfT0/gDn6Al/Nr2A+7s7RlfOUurjZtWsXvv32W/z000/Q6/Xo378/5s2b59I5MjMzYbFYEBER4bA9IiICx44dc3rMzp078b///Q8pKSkleo558+Zh9uzZhbZv2bIF/v7+LsVbnDM5gP3HuXXrVred15mg/IvoBltxuGnDhjJ9LmfKOr/imIVbReQfW/+AVqYtk+eRMsd7xddz9PX8AOboC3wtP71eL97etm0btFqt23LMy8sr8b4uFzdTpkzBqlWrcOnSJfTo0QOLFi1C//793VooFCUnJwfPPvssPv/8c4SFhZXomClTpiAuLk68n52djerVq6Nnz54IDg52W2zJ56/jo6O2gdA9evQo22mnrxwHjtkuy+/bt2/ZPc9tTCYTtm7dWvb5FcNoMWLW6lkAbD/nIHWQW8/vCTmWNV/P0dfzA5ijL/DV/IxGozjnXa9evZCYmOi2HO09LyXhcnGzY8cOvPbaa3jyySdLXGAUJSwsDAqFAunp6Q7b09PTERkZWWj/06dP48yZM3j44YfFbVar7coZpVKJ48eP47777nM4RqPRQKPRFDqXSqVy6xtKqbz1o3T3uZ08GQBABmnW7ijz/IohyG9N4KdWqcssDilzvFd8PUdfzw9gjr7A1/JTqVR46623ANzqRnJXjq6cw+XiZteuXa4eUiS1Wo2WLVsiPj5evJzbarUiPj4e48aNK7R//fr1ceTIEYdt06ZNQ05ODhYtWoTq1au7LTYiIiLyTiUqbn799Vf06dMHKpUKv/76a7H7PvLIIy4FEBcXh2HDhqFVq1aIjY3FwoULodPpMHz4cADA0KFDUbVqVcybNw9arRaNGzd2OD4kJAQACm0nIiKie8tqteLff/8FANSuXVuyOEpU3AwYMABpaWkIDw8vdsI8mUzm8loSgwYNwpUrVzBjxgykpaWhefPm2LRpkzjI+Ny5c5DLOVkb2XBFcCIiz5Wfny82Nnj88gv2cS2333aXcePGOe2GAoCEhIRij125cqXb4yHvwLWliIjIGZebRL7++muHeWPsjEYjvv76a7cERVQUrghORER34nJxM3z4cNy4caPQ9pycHHGcDNG9wIUziYjIGZeLG0EQnHYHXLhwARUqVHBLUERERESlVeJLwVu0aAGZTAaZTIYHH3zQYV4Xi8WC1NRU9O7du0yCJCIiIiqpEhc39qukUlJS0KtXLwQGBoqPqdVqxMTE4LHHHnN7gERERESuKHFxM3PmTABATEwMBg0aBK22bNb0ISoOLwUnIvJcKpUKkyZNEm9LxeUZiocNG1YWcRCVCK+WIiLyXGq1Gu+//z4AaVc8d7m4sVgs+Oijj/DDDz/g3LlzMBqNDo9nZWW5LTgiIiIiV7l8tdTs2bOxYMECDBo0CDdu3EBcXBwGDhwIuVyOWbNmlUGIRERE5A2sVivOnDmDM2fOlMmkvyXlcnHz7bff4vPPP8fEiROhVCoxePBgfPHFF5gxYwb++uuvsoiRSGSy3mrmVMl9ZyVdIiJfkJ+fj5o1a6JmzZrIz8+XLA6Xi5u0tDQ0adIEABAYGChO6PfQQw9h/fr17o2O6DZmq1m8rZS73KtKRETlgMvFTbVq1XD58mUAwH333YctW7YAAPbt2weNRuPe6IhuYy9uFDIF15YiIiKnXC5uHn30UcTHxwMAXn75ZUyfPh116tTB0KFD8fzzz7s9QKKC7JeCs7AhIqKiuNyuP3/+fPH2oEGDUKNGDezevRt16tTBww8/7NbgiIiIiFx114MW2rZti7Zt27ojFqIS46KZRERUlBIVN7/++muJT/jII4+UOhiiO7EKtksLFTKFxJEQEZGnKlFxY19X6k5kMhksFsvdxENULIvV9v6Sy1weLkZERGVMqVRizJgx4m3J4ijJTlJOxENUkFm4ebWUnC03RESeRqPRYMmSJQCkXX6BH3/Jq9i7pdhyQ0RERXG5zWjOnDnFPj5jxoxSB0N0JxbB1i3FMTdERJ5HEARkZmYCACpUqCBZHC4XN2vXrnW4bzKZkJqaCqVSifvuu4/FDZUp+6rgbLkhIvI8eXl5CA8PBwBcu3ZNsjhcLm6Sk5MLbcvOzsZzzz2HRx991C1BERXF3i3FS8GJiKgobvn4GxwcjNmzZ2P69OnuOB1RkazgmBsiIiqe2/5D3LhxQ1xEk6jM2HqlWNwQEVGRXO6W+vjjjx3uC4KAy5cv45tvvkGfPn3cFhiRM+yWIiKiO3G5uPnoo48c7svlclSuXBnDhg3DlClT3BYYUXG4cCYRERXF5eImNTW1LOIgKhH7quBERERFkW5uZKJSYHFDROS5lEolhg0bJt6WLA5XD9Dr9fjkk0+wfft2ZGRkFFqa4eDBg24Ljuh29nluiIjI82g0GqxcuRKAtMsvuFzcjBgxAlu2bMHjjz+O2NhYjn0gSXBAMRERFcXl4ub333/Hhg0b0L59+7KIh6hY9m4pFtVERJ5HEATk5eUBAFQqlWRxuFzcVK1aFUFBQWURC9Ed2S8F59pSRESeJy8vD4GBgQCkXX7B5ZnQPvzwQ7zxxhs4e/ZsWcRDVCyLlQtnEhFR8VxuuWnVqhX0ej1q1aoFf3//Qs1OWVlZbguO6HbiquByFjdEROScy8XN4MGDcfHiRcydOxcREREc+0D3lMFiAACo5WqJIyEiIk/lcnGTlJSE3bt3o1mzZmURD1Gxso3ZAIBgTbDEkRARkadyubipX78+8vPzyyIWojvKMeYAAILU5XNQu8Viueu5I0wmE5RKJfR6PSwWi5si8xy+nh/gnhzVajXkci5AS77J5eJm/vz5mDhxIt555x00adKk0Jib4GB+oqayozPpAAD+Sn+JI7m3BEFAWloarl+/7pZzRUZG4vz58z7Zrezr+QHuyVEul6NmzZpQq9nFS77H5eKmd+/eAIAHH3zQYbsgCJDJZD77SYk8g3gpeDkbUGwvbMLDw+Hv739X/7StVityc3MRGBjok5/cfT0/4O5ztFqtuHTpEi5fvowaNWr4bBFI955CocDjjz8u3paKy8XN9u3byyIOohKxT+Ind30WA69lsVjEwqZSpUp3fT6r1Qqj0QitVuuT//x9PT/APTlWrlwZly5dgtlslnSyNfItWq0WP/74IwAvW36hc+fOZREHUYnY15YqT5807X8g/P3LV1cclS17d5TFYmFxQz7H5eJmx44dxT7eqVOnUgdDdCfleVXw8lTQUdnj+4l8mcvFTZcuXQptK/hLwjE3VJbElhsunElE5HF0Op13Lr9w7do1h6+MjAxs2rQJrVu3xpYtW8oiRiIRF84kIqI7cbnlpkKFCoW29ejRA2q1GnFxcThw4IBbAiNyxmS1jT9RyTlGgIiInHPbpQQRERE4fvy4u05H5JTRYgQAaBQaiSMhV33yySeIjo6GUqnEpEmTpA6HiHyYy8XN4cOHHb4OHTqETZs2YdSoUWjevHkZhEh0i724USnYcuNNDh06hLi4OCxbtgznz5/HnDlzXDp+yZIliImJgVarRZs2bbB37947HrN06VKXj5FKafL7/PPPUatWLa/Ij+hec7m4ad68OVq0aIHmzZuLt/v27Quj0YgvvviiLGIkEtm7pbhwpnf5/fffERsbi759+6JKlSouXda+evVqxMXFYebMmTh48CCaNWuGXr16ISMjo8hj1qxZg4kTJ7p0jFRKk9/q1asxbdo0TJ8+3ePzI5KCy8VNamoq/vvvP6SmpiI1NRVnz55FXl4ekpKSUL9+/bKIkUhktpoBAEq5y8PFSCK1a9fGtGnTkJSUBJlMhqFDh7p0/IIFCzBy5EgMHz4cDRs2xPLly+Hv748VK1YUeczSpUvxwgsvuHRMcXbu3InY2FhotVqEhYVh0aJFpTqPM6XJb+HChRg6dKjb8iPyNS4XN9HR0Q5f1atXh1arLYvYiAqxWG1TDZT34kYQBOQZzaX+yjdaSnWc/VJ8VyQlJaFWrVp4//33cfnyZdSuXRuBgYHFfp07dw4AYDQaceDAAXTv3l08n1wuR/fu3bF7926nz2c0GpGSkuKwRMydjinOhg0b8Oijj2LMmDE4fPgwXnrpJbz66qs4c+YMAGDu3LklzsdZrKXJ78CBAw7TctxNfkTupFAo0LdvX/Tt29c7ll/Ytm0bxo0bh7/++qvQ4pg3btxAu3btsHz5cnTs2NHtQRLZmQVby41c5pvT6pdUvsmChjM23/Pn/WdOL/irXSssAwMDcebMGXTo0AGRkZEYN24chgwZUuwxUVFRAIDMzExYLBZEREQ4PB4REYFjx445PbY0xxRFr9fjpZdewqJFi8SY58yZg48//hg7duxATEwMRo0ahSeffLJE+bgjVvsxlStXLvExRPeKVqvF+vXrAXjJ8gsLFy7EyJEjna76XaFCBbz00ktYsGABixsqU/aWG4WsfC2c6c0OHz4MAGjSpAkAIDQ0FKGhoVKGVGLbtm1Dfn4+Bg0aJG5TKBSQyWTQaGxX7HlTPkTlRYmLm0OHDuHdd98t8vGePXvigw8+cEtQREWxCOyWAgA/lQL/zOlVqmOtVitysnMQFBzk8qKLfirXi8qUlBTUrl0bAQEBAGzdOHPnzi32mH/++Qc1atRAWFgYFAoF0tPTHR5PT09HZGSk02NLc0xRtm/fjubNmzs0r586dQo5OTlo0aKFy/m4I1b7MVeuXCnxMUTlTYn/Q6Snpxe7uJpSqSz0y0bkbvarpcp7cSOTyVzuHrKzWq0wqxXwVyvvyarZKSkpaNasmXjflW4ctVqNli1bIj4+HgMGDABgiz8+Ph7jxo1zeqxarUbz5s2xbds2DBw4sETHFCU5ORlGo9Fh29KlS9GyZUvUrVvX5XycxVqa/Fq2bInExEQMHjy4RMcQ3Ss6nQ7h4eEAgIsXL0oWR4n/OlatWhVHjx5F7dq1nT5++PBhVKlSxW2BETmjM+kAAAGqAIkjoZJKSUnBI488It53tRsnLi4Ow4YNQ6tWrRAbG4uFCxdCp9Nh+PDh4j6LFy/G2rVrER8fDwAYM2YMxowZg9atWxd5TEkkJydDEAR8/fXXaNOmDX788UcsW7YMSUlJpc7HHflNmDABw4cPR9u2bfHAAw+UOj+ispCXlyd1CCUvbvr27Yvp06ejd+/eha6Oys/Px8yZM/HQQw+5PUCiguzFTaAqUOJIqCSsViuOHDmC6dOnl/ocgwYNwpUrVzBjxgykpaWhefPm2LRpk8Mg3MzMTJw+fVq8P3DgQOh0umKPWblyJYYPH17kFWDnzp1DVlYWfv/9d0yePBknTpxA06ZNsWnTJrFLyh1Kk9+gQYNw/vx5zJo1q8hjiMqzErdJT5s2DVlZWahbty7ee+89/PLLL/jll1/w7rvvol69esjKysKbb75ZqiBcmZ3z888/R8eOHVGxYkVUrFgR3bt358yc5UiuKRcAW268hVwuh06nQ79+/e7qPOPGjcPZs2dhMBiwZ88etGnTxuHxWbNmiZdm240dO7bYY1JTU9G5c+cinzMlJQWhoaHo168fjhw5AoPBgH379hV7TGmVJr8XX3wRqampRR5DVJ6VuLiJiIhAUlISGjdujClTpuDRRx/Fo48+iqlTp6Jx48bYuXNnqT41uDo7Z0JCAgYPHozt27dj9+7dqF69Onr27Clp3x7dO3qzHgDgp/STOBLydhs3bsR7771X5OPJycniFV5E5F1cGpEYHR2NDRs24Nq1azh16hQEQUCdOnVQsWLFUgdQcHZOAFi+fDnWr1+PFStWYPLkyYX2//bbbx3uf/HFF/j5558RHx/v8syn5H0MFgMALpxJd+9OLb7Jyclo2rTpPYqGiNypVJdbVKxYEa1bt77rJ7fPtDllyhRxm6szbebl5cFkMhU5oM9gMMBgMIj3s7OzAdgmF3LnBENms1m8XeYTF5nNUAEQAJjv4SRJ9rykmphJEASx5UYuyMskDqlzdMZkMkEQBFitVlit1rs+n32Mif2cvsZd+a1ZswYAPPJn5I4crVYrBEGAyWSSdCbZonji76I7+Wp+BfNxd46unEfS62ndMZPoG2+8gaioKIfpywuaN28eZs+eXWj7li1bXFq8707O5AD2H+fWrVvddl5ngvIvohtsxeGmDRvK9LmcKev8iiIIAgTY/qgnxCcgQF52426kytEZpVKJyMhI5ObmFros+W7k5OS47VyeyNfzA+4uR6PRiPz8fOzYscPhw5mn8aTfxbLga/kZDAY0atQIgG2eKI1G47YcXbkKy6snC5k/fz5WrVqFhISEIte3mjJlCuLi4sT72dnZ4jgdZ7Mtl1by+ev46KitmbtHjx7Fzgl0164cB47Z5rvo27dv2T3PbUwmE7Zu3Vr2+RVBEARM/9521U337t1RUVv67tCiSJ2jM3q9HufPn0dgYKBb1nETBAE5OTkICgqCTCZzQ4SexdfzA9yTo16vh5+fHzp16uSR6wN64u+iO/lyfo8++igA9+do73kpCUmLm7uZSfSDDz7A/Pnz8ccffxTbL67RaMRp0gtSqVRufUMplbd+lO4+t5MnAwDIbj7XvVbm+RXBKtxqfi/rGKTK0RmLxQKZTAa5XO6WSffs3Rj2c/oaX88PcE+OcrkcMpnMo97rznh6fHfL1/MD3JejK+eQ9De/4OycdvaZNtu2bVvkce+99x7eeustbNq0Ca1atboXoZIHyNJnAQBkkHGeGyIiKpLk3VJ3mp1z6NChqFq1KubNmwcAePfddzFjxgx89913iImJQVpaGgDbysOBgfyH58su5tou948IiIBK4dufdIiIvJFOp0NMTAwA4OTJk5LFIXlxc6fZOc+dO+fQ7Lps2TIYjUY8/vjjDueZOXMmZs2adS9Dp3vsQs4FAEDVwKoSR0JEREXJzMyUOgTpixvANjtnUQu+JSQkONy/fZZOKj+uG64DAML8wqQNhIiIPJpvjrYjn2S22i5XLe8rghMRUfFY3JDXsAgWAIBC5nkTjhERkedgcUNew2SxzU6pknMwMRERFY3FDXmNfHM+AC6a6a0++eQTREdHQ6lUYtKkSVKHQ0Q+jMUNeQ0WN97r0KFDiIuLw7Jly3D+/HnMmTPHpeOXLFmCmJgYaLVatGnT5o6LXgLA0qVLXT5GKq7mt2zZMrRv3x4hISEIDg5G27ZtsXHjxnsULVHR5HI5WrVqhVatWkk6iSaLG/IaLG681++//47Y2Fj07dsXVapUcWldt9WrVyMuLg4zZ87EwYMH0axZM/Tq1QsZGRlFHrNmzRpMnDjRpWOkUpr8qlWrhpkzZ2Lfvn3Yv38/unXrhv79++Pvv/++h5ETFebn54d9+/Zh37598POT7m81ixvyGgaLbXV3jaLwchrljiAARl3pv0x5pTvu5mrUrqhduzamTZuGpKQkyGQyDB061KXjFyxYgJEjR2L48OFo2LAhli9fDn9/f6xYsaLIY5YuXYoXXnjBpWOKs3PnTsTGxkKr1SIsLAyLFi0q1XmcKU1+Dz/8MHr27Ik6deqgbt26eOeddxAYGIi//vrLbXEReTNeU0tew2S1DShmcQNbcTI3qlSHygGElPZ5p14C1K6txp6UlIS2bdti9OjReOaZZ/DZZ5/dcTbxf/75BzVq1IDRaMSBAwcwZcoU8TG5XI7u3btj9+7dTo81Go1ISUnB1KlTS3xMcTZs2IBhw4bh/fffR7t27fDVV1/h1VdfRf/+/RETE4O5c+di7ty5JcrHWayu5nc7i8WCH3/8ETqdrthla4jKExY35DXsLTdqhVriSMgVgYGBOHPmDDp06IDIyEiMGzcOQ4YMKfaYqChb4ZaZmQmLxSLOWG4XERGBY8eOOT22NMcURa/X46WXXsKiRYvEmOfMmYOPP/4YO3bsQExMDEaNGoUnn3yyRPm4M9a///4bvXr1gl6vR2BgINauXYuGDRu6kB2R++Xl5Ynvw0OHDkkWB4sb8hr24obrSgFQ+dtaUUrBarUiOycHwUFBrg/4U5V8rIzd4cOHAQBNmjQBAISGhiI0NNTl80hh27ZtyM/Px6BBg8RtCoUCMpkMGo2tBVGqfOrUqYODBw8iJycHP/30E4YNG4bExEQWOCQpQRBw9uxZ8bZUWNyQ17DPc8NuKQAymcvdQyKrFVBZbMffg6sZUlJSULt2bQQE2OJ1pRsnLCwMCoUC6enpDo+np6cjMjLS6bGlOaYo27dvR/PmzaFQ3Jo48tSpU8jJyUGLFi1czsedsarVatSuXRtyuRwtW7bEvn37sGjRInz66aclTY/IZ7G4Ia9htBgBAGo5u6W8SUpKCpo1aybed6UbR61Wo2XLloiPj8eAAQMA2Fqe4uPji1yPTq1Wo3nz5ti2bRsGDhxYomOKkpycDKPR6LBt6dKlaNmyJerWretyPs5idTW/olitVhgMBpeOIfJVLG7Iaxittn8y7JbyLikpKXjkkUfE+65248TFxWHYsGFo1aoVYmNjsXDhQuh0OgwfPlzcZ/HixVi7di3i4+MBAGPGjMGYMWPQunXrIo8pieTkZAiCgK+//hpt2rTBjz/+iGXLliEpKanU+bgjv6lTp6Jjx45o0KABdDodvvvuOyQkJGDz5s2ljoPIl7C4Ia9hb7lht5T3sFqtOHLkCKZPn17qcwwaNAhXrlzBjBkzkJaWhubNm2PTpk0Og3AzMzNx+vRp8f7AgQOh0+mKPWblypUYPnx4keMCzp07h6ysLPz++++YPHkyTpw4gaZNm2LTpk1il5Q7lCa/jIwMjB49Gunp6ahQoQKaNm2KzZs3o0ePHm6Li8ibsbghryFeLcVuKa8hl8uh0+nu+jzjxo0rtptm1qxZmDVrlsO2sWPH4uWXXy7ymNTUVHTu3LnIx1NSUhAaGop+/fqhX79+LsfsClfz++KLL5CdnY3g4GBJZ4El8lQsbsgrmCwmZOZnAgAqaitKHA35go0bN2Lx4sVFPp6cnCxe4UVEJSOTycQr9mQymWRxsLghr3Di2gmYrCZU0FRA1cCqUodDPuBO6zclJyejadOm9ygaIt/g7+8vLgNiMpkki4PFDXmFo5lHAQCNKjWS9NMAlR/r1q2TOgQiKiV21pJXOH7tOACgYSVOUEZERMVjcUNe4Wy2bcbLmhVqShwJEREVJS8vD40aNUKjRo2Ql5cnWRzsliKvYC9uooOjJY6EiIiKIggC/vnnH/G2VNhyQx7PZDUhPc82PX21wGoSR0NERJ6OxQ15PPuaUgAQoCrlekpERFRusLghj2ey3ipuVHIuvUBERMVjcUMezz4zsVwmh0KuuMPeRERU3rG4IY93MfciACDSP1LiSIiIyBvwainyeKk3UgEAMRVipA2EiIiKJZPJEB0dLd6WCosb8nj24oZz3BAReTZ/f3+cOXMGgLTLL7BbijyevVuqelB1iSOhu/HJJ58gOjoaSqUSkyZNkjocIvJhLG7I413OvQwAqBJQReJIqLQOHTqEuLg4LFu2DOfPn8ecOXNKfOyOHTvw8MMPIyoqCjKZrMRrPi1duhQxMTHQarVo06bNHRfKlNKSJUtcjvXzzz9HrVq1vCI/onuNxQ15vMs6Fjfe7vfff0dsbCz69u2LKlWqwN/fv8TH6nQ6NGvWDEuWLCnxMWvWrMHEiRMxc+ZMHDx4EM2aNUOvXr2QkZFRmvDL1OrVqxEXF+dSrKtXr8a0adMwffp0j8+Pypf8/Hy0bt0arVu3Rn5+vmRxsLghj5ZvzsdV/VUAQFRglMTReA5BEJBnyiv1V745v1THlWY69dq1a2PatGlISkqCTCbD0KFDXTq+T58+ePvtt/Hoo4+W+JilS5fihRdewPDhw9GwYUMsX74c/v7+WLFihavhAwB27tyJ2NhYaLVahIWFYdGiRaU6jzMLFizAyJEjXYp14cKFGDp0qNvyI3IXq9WK/fv3Y//+/bBarZLFwQHF5NEu5FwAAASpg1BBU0HiaDxHvjkfbb5rc8+fd8+QPfBXlbzVBQCSkpLQtm1bjB49Gs888ww+++wzBAYGFnvMP//8gxo1apQqRqPRiJSUFEydOlXcJpfL0b17d+zevdvl823YsAHDhg3D+++/j3bt2uGrr77Cq6++iv79+yMmJgZz587F3Llziz1HUfkYjUYcOHAAU6ZMKXGs9mNeeeUVt+RH5ItY3JBHO59zHgAHE3uzwMBAnDlzBh06dEBkZCTGjRuHIUOGFHtMVFTpW+kyMzNhsVgQERHhsD0iIgLHjh1z6Vx6vR4vvfQSFi1aJMY8Z84cfPzxx9ixYwdiYmIwatQoPPnkk8Wep6h8ShOr/ZjKlSuX+Bii8obFDXm0LWe3AABqh9SWOBLP4qf0w54he0p1rNVqRU5ODoKCgiCXu9Yz7af0c/n5Dh8+DABo0qQJACA0NBShoaEun0cK27ZtQ35+PgYNGiRuUygUkMlk0Gg0ALwrH6LygsUNeawT105gw38bAABPN3ha4mg8i0wmc7l7yM5qtcKsNMNf5e9ycVMaKSkpqF27NgICbIue3k03TkmEhYVBoVAgPT3dYXt6ejoiI12b5Xr79u1o3rw5FIpby36cOnUKOTk5aNGiBYC7y6c0sdqPuXLlSomPISpvWNyQx/ok+RMIENAzuicaVmoodThUSikpKWjWrJl4/266cUpCrVajefPm2LZtGwYOHAjAVtDFx8dj3LhxLp0rOTkZRqPRYdvSpUvRsmVL1K1bF8Dd5aNWq9GyZUvEx8djwIABJYrVfkxiYiIGDx5comOIyhsWN+SR9qftR8L5BMhlcoxrwT/Y3iwlJQWPPPKIeN/Vbpzc3FycOnVKvJ+amoqUlBSEhoaKrSGLFy/G2rVrER8fDwAYM2YMxowZg9atWyM2NhYLFy6ETqfD8OHDXYo9OTkZgiDg66+/Rps2bfDjjz9i2bJlSEpKKnU+t4uLi8OwYcPQqlWrImO9Pb8JEyZg+PDhaNu2LR544IFS50dUFsLCwqQOgcUNeR6L1YJ3970LAHi8zuNcdsGLWa1WHDlyBNOnTy/1Ofbv34+uXbuK9+Pi4gAAw4YNw8qVKwHYBtmePn1a3GfgwIHQ6XSYMWMG0tLS0Lx5c2zatMlh4O7KlSsxfPjwIi9vP3fuHLKysvD7779j8uTJOHHiBJo2bYpNmzaJXVLuMGjQIFy5cqXYWG/Pb9CgQTh//jxmzZpV5DFEUggICBC7TKVcfoHFDXmcdafW4VjWMQSpgjC2xVipw6G7IJfLodPp7uocXbp0ueP8OrNmzcKsWbMcto0dOxYvv/xykcekpqaic+fORT5ubx3q168f+vXr51LMrho3blyxXUrO8nvxxRcxadKkezJuisjbsLghj/P5kc8BAKOajUKollehUNnYuHEjFi9eXOTjycnJ4hVeRORdWNyQR8k354sLZfav3V/iaMiX3WktpuTkZDRt2vQeRUPkG/Lz89GnTx8AwK+//ipZHCxuyKPYF8kMUnFGYpJWSRfoJKJbrFYrEhMTxdtSYWcteZSz2WcBcB0pIiIqPRY35FF+/+93AECzys3usCcREZFzLG7IY2TkZWDbuW0AgCfrFT8pGhERUVFY3JDH+PnkzzALZtwffj/qhdaTOhwiIvJSLG7IIwiCgPX/rQcAPF73cYmjISIib8arpcgjnLh2Amezz0ItV6NbjW5Sh0NERKXk71+6RX3dicUNeYQNqbbVvztU7YAAVYDE0RARUWkEBASIs5JLufwCu6VIcr+d/g0r/14JAOhTq4+0wRARkddjcUOSWndqHd7c+SasghWP130cPaN7Sh0SERF5ORY3JIlr+mv435H/YcauGRAgYFC9QZj+wHTIZXxLUtmIiYmBTCaDTCaDQqFAVFQURowYgWvXron75OXlYcqUKbjvvvug1WpRuXJldO7cGb/88ouEkRN5D71eLy42q9frJYuDY27onsnMz0T82XhsPbcV+9P2wyJYAABD6g/B5NjJkMlkEkdIvm7OnDkYOXIkLBYLTpw4gRdffBGvvPIKvvnmGwDAqFGjsGfPHnzyySdo2LAhrl69iqSkJFy9elXiyO+OIAiwWCxQKvknn8qWxWLBhg0bxNtS4cdkKlNpujR8+++3GLZxGLr90A1v73kbey7vgUWwoEFoA0yJncLC5i7odLoiv27/1FTcvvn5+XfctzS6dOmCl19+GRMmTEDFihURERGBzz//HDqdDsOHD0dQUBBq166NjRs3isdYLBaMGDECNWvWhJ+fH+rVq4dFixaJj+v1ejRq1AgvvviiuO306dMICgrCihUrio0nKCgIkZGRqFq1Krp27Yphw4bh4MGD4uO//vorpk6dir59+yImJgYtW7bEyy+/jOeff77Ic86aNQvNmzfHp59+iurVq8Pf3x9PPvkkbty4Ie5jtVoxZ84cVKtWDRqNBs2bN8emTZvExx9//HGMGzdOvD9hwgTIZDIcO3YMAGA0GhEQEIA//vhDPN+CBQtw3333wc/PD82aNcNPP/0kHp+QkACZTIaNGzeiZcuW0Gg02LlzZ7E/GyJfwjKe3O5i7kX8cfYPbDm7BYevHHZ4rElYE/SI7oHu0d1RPai6RBH6jsDAwCIf69u3L9avXy/eDw8PR15entN9O3fujISEBPF+TEwMMjMzHfYRBKFUMX711Vd4/fXXsXfvXqxevRqjR4/G2rVr8eijj2Lq1Kn46KOP8Oyzz+LcuXPw9/eH1WpFtWrV8OOPP6JSpUpISkrCiy++iCpVquDJJ5+EVqvFt99+izZt2qBfv3546KGH8Mwzz6BHjx54/vnnS7xY38WLF/Hbb7+hTZs24rbIyEhs2LABAwcORFBQUIlzPHXqFH744Qf89ttvyM7OxogRIzBmzBh8++23AIBFixbhww8/xKeffooWLVpgxYoVeOSRR/D333+jTp066Ny5Mz799FPxfImJiQgLC0NCQgLq16+Pffv2wWQyoV27dgCA+fPnY/Xq1Vi6dCnq1auHHTt24JlnnhG70ewmT56MDz74ALVq1ULFihVLnA+R1xM8wOLFi4Xo6GhBo9EIsbGxwp49e4rd/4cffhDq1asnaDQaoXHjxsL69etL/Fw3btwQAAg3bty427AdHDibJUS/8btw/4zfBKPR6NZzF5L+ryDMDBaEd2uW7fPcxmg0CuvWrSs2P6vVKjz4w4NC45WNhcYrGwtNVjYRhm4YKnz999fCpZxL9zDa0ilJjvdafn6+8M8//wj5+fmFHgNQ5Fffvn0d9vX39y9y386dOzvsGxYWVmif0ujcubPQoUMH8b7ZbBYCAgKEZ599Vtx2+fJlAYCwe/fuIs8zduxY4bHHHnPY9t577wlhYWHCuHHjhCpVqgiZmZmCIAiCxWIRrl27JlgsFof9o6OjBbVaLQQEBAharVYAILRp00a4du2auE9iYqJQrVo1QaVSCa1atRImTJgg7Ny5s9gcZ86cKSgUCuHChQvito0bNwpyuVy4fPmyIAiCEBUVJbzzzjsOx7Vu3VoYM2aMIAiCcPjwYUEmkwkZGRlCVlaWoFarhbfeeksYNGiQIAiC8Pbbbwvt2rUTBEEQ9Hq94O/vL2zevNkhxxEjRgiDBw8WBEEQtm/fLgAQ1q1bV2Tcxb2vPIEn/i66k6/ml5ubK/7NuHbtmltzdOX/t+QtN6tXr0ZcXByWL1+ONm3aYOHChejVqxeOHz+O8PDwQvsnJSVh8ODBmDdvHh566CF89913GDBgAA4ePIjGjRtLkIFNoEaJljVCYNFllf2TqbRA9QcAbYWyfy4XyWQy9IzpieNZx9EjugcerPEgKvtXljosn5Wbm1vkYwqFwuF+RkYGAFuXRnZ2NoKDgyGX23qm7d/tzpw547YYmzZt6hBTpUqV0KRJE3FbRESEQ3wAsGTJEqxYsQLnzp1Dfn4+jEYjmjdv7nDeiRMnYt26dVi8eDE2btyISpUq3TGW1157Dc899xwEQcD58+cxdepU9OvXDzt27IBCoUCnTp3w33//4a+//kJSUhLi4+OxaNEizJ49G9OnTy/yvDVq1EDVqlXF+23btoXVasXx48fh7++PS5cuoX379g7HtG/fHocOHQIANG7cGKGhoUhMTIRarUaLFi3w0EMPYcmSJQBsLTldunQBYGslysvLw8CBAx3OZzQa0aJFC4dtrVq1uuPPhMgXSV7cLFiwACNHjsTw4cMBAMuXL8f69euxYsUKTJ48udD+ixYtQu/evfHaa68BAN566y1s3boVixcvxvLly+9p7AXVjQjCqpGx4kCqMlUxBhixueyfp5Rea/Uax9DcIwEBJZ/w0L6v1WqFxWJBQEBAoaKmNOe9E5VK5XBfJpM5bLO/V+zdSatWrcKkSZPw4Ycfom3btggKCsL777+PPXv2OJwnIyMDJ06cgEKhwMmTJ9G7d+87xhIWFobatWsDAOrUqYOFCxeibdu22L59O7p37y7G27FjR3Ts2BFvvPEG3n77bcyZMwdvvPEG1Gp16X8QxZDJZOjUqRMSEhKg0WjQpUsXNG3aFAaDAUePHkVSUhImTZoE4FZBu3r1atSpU8fhNdRoNA7ndefrSORNJC1ujEYjDhw4gClTpojb5HI5unfvjt27dzs9Zvfu3YiLi3PY1qtXL6xbt87p/gaDAQaDQbyfnZ0NwDZzortnT7SfT8pZGcuSr+cHeGaOJpMJgiDAarWWeDxJcYSbY2fs5yxrzp7H2TZ7fjt37kS7du0watQo8bHTp0+L+9gNHz4cTZo0wfDhw/HSSy+hW7duaNCgQbH53b7NXljpdLoifxb169eH2WxGXl6e06uNBEHAuXPncOHCBURFRQGwtTDL5XLUqVMHgYGBiIqKws6dO9GxY0fxuF27dqF169bi83bq1AlffPEFNBoN3nrrLQBAx44d8d5778FgMIitQfXr14dGo8H58+fRu3fvQh8kCr5PinvPWK1WCIIAk8lUqJXPE3ji76I7+Wp+BfNxd46unEfS4iYzMxMWi0VslraLiIgQrxK4XVpamtP909LSnO4/b948zJ49u9D2LVu2lNn6F1u3bi2T83oKX88P8KwclUolIiMjkZubC6PR6Lbz5uTkuO1cRTGbzTAajeKHCsD2T1Wv1ztsA4D8/HxkZ2ejevXq+Prrr7F27VpER0dj9erV2Lt3L6Kjo8VjPv/8c+zevRs7d+5EtWrV8Msvv2DIkCHYunWr2Lpye35WqxWZmZk4efIkBEHAxYsXMXPmTISFhaFJkybIzs7GQw89hMceewwtWrRAaGgojh07hmnTpolFye0xA7YPUFqtFs8++yzmzJmDnJwcjB8/HgMGDIC/vz+ys7Mxbtw4zJs3D1WqVEGTJk3w7bffIiUlBcuWLRPP2bJlS8TFxUGtVqNp06bIzs7GAw88gOnTp+P++++HxWIR9x03bhzefPNNCIKABx54ANnZ2dizZw+CgoIwePBgceB4Tk5Oka1zRqMR+fn52LFjB8xms8uv7b3iSb+LZcEX87M3NiQlJQFwX45FXRDhjOTdUmVtypQpDi099j+ePXv2RHBwsFufy2QyYevWrejRo0ehpnhf4Ov5AZ6Zo16vx/nz5xEYGAitVnvX5xMEATk5OQgKCirz7kOlUgm1Wu3wuyaXy6HVagv9/vn5+SE4OBivvPIK/v33X4wYMQIymQxPPfUUxowZg02bNiE4OBjHjh3DzJkz8fnnn6Nhw4YAgM8++wzNmzfHBx98gHnz5jnNTy6XY+7cuZg7dy4AoHLlymjVqhU2b96MmJgYALYrzH788Ue8/fbbyMvLQ1RUFPr164fp06cX+fdCo9Ggdu3aePzxx/HUU08hKysL/fr1w6effioe89prr8FgMGDGjBnIyMhAw4YNsW7dOocxMm3btkVISAjq1q0rtgD16tULU6dORbdu3Ryef/78+QgLC8OiRYswfvx4hISEoEWLFpgyZQqCg4PFD25BQUFFxq3X6+Hn54dOnTq55X3lbp74u+hOvp4f4P4cnX24KIqkxU1YWBgUCgXS09MdtqenpyMyMtLpMZGRkS7tr9FoCvVDA7Z+9bJ6Q5XluT2Br+cHeFaOFosFMpkMcrm8yE/hrrB3U9jPWZYKXl5u52ywslDgMnM/Pz+sXLmy0D7z588HADRs2LDQJ7jQ0FCcO3cOQNH5lWSQ9NSpUzF16tQ77leQvYAaO3Ysxo4d63QfuVyOWbNmYdasWUWeRy6XIyvL8YKE+++/v8hL8EeNGoXXX3/d6WvYrVu3O166L5fLxfFPnvJed8bT47tbvp4f4L4cXTmHpJP4qdVqtGzZEvHx8eI2q9WK+Ph4tG3b1ukxbdu2ddgfsDV5FbU/ERERlS+Sd0vFxcVh2LBhaNWqFWJjY7Fw4UJx9lIAGDp0KKpWrYp58+YBAMaPH4/OnTvjww8/RL9+/bBq1Srs378fn332mZRpEBERkYeQvLgZNGgQrly5ghkzZiAtLU2cltw+aPjcuXMOza7t2rXDd999h2nTpmHq1KmoU6cO1q1bJ+kcN0RUft2pu4mI7j3JixvANvK/4LoqBTnrs3/iiSfwxBNPlHFURERE5I24cCaRl7jTAFEiV/D9RL6MxQ2Rh7NfIeDKHA9Ed2KfM8kTJ/Ajulse0S1FREVTKBQICQkR117y9/e/q/lprFYrjEYj9Hp9mV8KLgVfzw+4+xytViuuXLkCf39/p7MuE3k7vquJvIB9HqeCi0uWliAIyM/Ph5+fn0+uAebr+QHuyVEul6NGjRo++zOi8o3FDZEXkMlkqFKlCsLDw+96nRaTyYQdO3agU6dOPjl5mK/nB7gnR7Va7bMtW0Qsboi8iEKhuOsxEgqFAmazGVqt1if/+ft6fkD5yJHobrBsJyIiIp/C4oaIiIh8CosbIiIi8inlbsyNfeIqV5ZOLymTyYS8vDxkZ2f7ZD+4r+cHMEdf4Ov5AczRF/h6foD7c7T/3y7JBJTlrrjJyckBAFSvXl3iSIiIiMhVOTk5qFChQrH7yIRyNge31WrFpUuXEBQU5Pb5HbKzs1G9enWcP38ewcHBbj23J/D1/ADm6At8PT+AOfoCX88PcH+OgiAgJycHUVFRd5zGoNy13MjlclSrVq1MnyM4ONhn36yA7+cHMEdf4Ov5AczRF/h6foB7c7xTi40dBxQTERGRT2FxQ0RERD6FxY0baTQazJw5ExqNRupQyoSv5wcwR1/g6/kBzNEX+Hp+gLQ5lrsBxUREROTb2HJDREREPoXFDREREfkUFjdERETkU1jcEBERkU9hceMmS5YsQUxMDLRaLdq0aYO9e/dKHZLbzJo1CzKZzOGrfv36Uod1V3bs2IGHH34YUVFRkMlkWLduncPjgiBgxowZqFKlCvz8/NC9e3ecPHlSmmBL4U75Pffcc4Ve0969e0sTbCnNmzcPrVu3RlBQEMLDwzFgwAAcP37cYR+9Xo+xY8eiUqVKCAwMxGOPPYb09HSJInZNSfLr0qVLoddx1KhREkXsumXLlqFp06biJG9t27bFxo0bxce9+fWzu1OO3v4a3m7+/PmQyWSYMGGCuE2K15HFjRusXr0acXFxmDlzJg4ePIhmzZqhV69eyMjIkDo0t2nUqBEuX74sfu3cuVPqkO6KTqdDs2bNsGTJEqePv/fee/j444+xfPly7NmzBwEBAejVqxf0ev09jrR07pQfAPTu3dvhNf3+++/vYYR3LzExEWPHjsVff/2FrVu3wmQyoWfPntDpdOI+r776Kn777Tf8+OOPSExMxKVLlzBw4EAJoy65kuQHACNHjnR4Hd977z2JInZdtWrVMH/+fBw4cAD79+9Ht27d0L9/f/z9998AvPv1s7tTjoB3v4YF7du3D59++imaNm3qsF2S11GguxYbGyuMHTtWvG+xWISoqChh3rx5EkblPjNnzhSaNWsmdRhlBoCwdu1a8b7VahUiIyOF999/X9x2/fp1QaPRCN9//70EEd6d2/MTBEEYNmyY0L9/f0niKSsZGRkCACExMVEQBNtrplKphB9//FHc599//xUACLt375YqzFK7PT9BEITOnTsL48ePly6oMlCxYkXhiy++8LnXryB7joLgO69hTk6OUKdOHWHr1q0OOUn1OrLl5i4ZjUYcOHAA3bt3F7fJ5XJ0794du3fvljAy9zp58iSioqJQq1YtPP300zh37pzUIZWZ1NRUpKWlObymFSpUQJs2bXzqNU1ISEB4eDjq1auH0aNH4+rVq1KHdFdu3LgBAAgNDQUAHDhwACaTyeF1rF+/PmrUqOGVr+Pt+dl9++23CAsLQ+PGjTFlyhTk5eVJEd5ds1gsWLVqFXQ6Hdq2betzrx9QOEc7X3gNx44di379+jm8XoB0v4flbuFMd8vMzITFYkFERITD9oiICBw7dkyiqNyrTZs2WLlyJerVq4fLly9j9uzZ6NixI44ePYqgoCCpw3O7tLQ0AHD6mtof83a9e/fGwIEDUbNmTZw+fRpTp05Fnz59sHv3bigUCqnDc5nVasWECRPQvn17NG7cGIDtdVSr1QgJCXHY1xtfR2f5AcCQIUMQHR2NqKgoHD58GG+88QaOHz+ONWvWSBita44cOYK2bdtCr9cjMDAQa9euRcOGDZGSkuIzr19ROQK+8RquWrUKBw8exL59+wo9JtXvIYsbuqM+ffqIt5s2bYo2bdogOjoaP/zwA0aMGCFhZFRaTz31lHi7SZMmaNq0Ke677z4kJCTgwQcflDCy0hk7diyOHj3q9WPBilJUfi+++KJ4u0mTJqhSpQoefPBBnD59Gvfdd9+9DrNU6tWrh5SUFNy4cQM//fQThg0bhsTERKnDcquicmzYsKHXv4bnz5/H+PHjsXXrVmi1WqnDEbFb6i6FhYVBoVAUGvmdnp6OyMhIiaIqWyEhIahbty5OnToldShlwv66lafXtFatWggLC/PK13TcuHH4/fffsX37dlSrVk3cHhkZCaPRiOvXrzvs722vY1H5OdOmTRsA8KrXUa1Wo3bt2mjZsiXmzZuHZs2aYdGiRT7z+gFF5+iMt72GBw4cQEZGBu6//34olUoolUokJibi448/hlKpREREhCSvI4ubu6RWq9GyZUvEx8eL26xWK+Lj4x36VH1Jbm4uTp8+jSpVqkgdSpmoWbMmIiMjHV7T7Oxs7Nmzx2df0wsXLuDq1ate9ZoKgoBx48Zh7dq12LZtG2rWrOnweMuWLaFSqRxex+PHj+PcuXNe8TreKT9nUlJSAMCrXsfbWa1WGAwGr3/9imPP0Rlvew0ffPBBHDlyBCkpKeJXq1at8PTTT4u3JXkdy2yocjmyatUqQaPRCCtXrhT++ecf4cUXXxRCQkKEtLQ0qUNzi4kTJwoJCQlCamqqsGvXLqF79+5CWFiYkJGRIXVopZaTkyMkJycLycnJAgBhwYIFQnJysnD27FlBEARh/vz5QkhIiPDLL78Ihw8fFvr37y/UrFlTyM/Plzjykikuv5ycHGHSpEnC7t27hdTUVOGPP/4Q7r//fqFOnTqCXq+XOvQSGz16tFChQgUhISFBuHz5sviVl5cn7jNq1CihRo0awrZt24T9+/cLbdu2Fdq2bSth1CV3p/xOnTolzJkzR9i/f7+Qmpoq/PLLL0KtWrWETp06SRx5yU2ePFlITEwUUlNThcOHDwuTJ08WZDKZsGXLFkEQvPv1sysuR194DZ25/QowKV5HFjdu8sknnwg1atQQ1Gq1EBsbK/z1119Sh+Q2gwYNEqpUqSKo1WqhatWqwqBBg4RTp05JHdZd2b59uwCg0NewYcMEQbBdDj59+nQhIiJC0Gg0woMPPigcP35c2qBdUFx+eXl5Qs+ePYXKlSsLKpVKiI6OFkaOHOl1xbiz/AAIX375pbhPfn6+MGbMGKFixYqCv7+/8OijjwqXL1+WLmgX3Cm/c+fOCZ06dRJCQ0MFjUYj1K5dW3jttdeEGzduSBu4C55//nkhOjpaUKvVQuXKlYUHH3xQLGwEwbtfP7vicvSF19CZ24sbKV5HmSAIQtm1CxERERHdWxxzQ0RERD6FxQ0RERH5FBY3RERE5FNY3BAREZFPYXFDREREPoXFDREREfkUFjdERETkU1jcEBERkU9hcUPkQ86cOQOZTCauTyOF5557DgMGDBDvd+nSBRMmTCjx8Z6QgxRWrlyJkJAQqcO4pxISEiCTySCTyRzeM6UVExMjnu/2hRqpfGFxQz7jueeeE/+w2VfhnTNnDsxms9ShlWtr1qzBW2+9VabPcXtB5Y0GDRqEEydOiPdnzZqF5s2bSxfQPXT8+HGsXLkSALB8+XIEBQU5/N7m5uZCpVKhS5cuDsfZi6PTp08DAPbt24eff/75XoVNHozFDfmU3r174/Llyzh58iQmTpyIWbNm4f333y/VuSwWC6xWq5sjdJ0gCF5doIWGhiIoKEjqMAAAJpNJ6hCK5Ofnh/DwcKnDKBN3+l0KDw8XW626du2K3Nxc7N+/X3z8zz//RGRkJPbs2QO9Xi9u3759O2rUqIH77rsPAFC5cmWEhoaWTRLkVVjckE/RaDSIjIxEdHQ0Ro8eje7du+PXX38FABgMBkyaNAlVq1ZFQEAA2rRpg4SEBPFYe7fAr7/+ioYNG0Kj0eDcuXOFnsNZN8uAAQPw3HPPifeXLl2KOnXqQKvVIiIiAo8//rj4mNVqxbx581CzZk34+fmhWbNm+Omnn8TH7Z9GN27ciJYtW0Kj0WDnzp1O8927dy9atGgBrVaLVq1aITk5udA+iYmJiI2NhUajQZUqVTB58mSxWPr9998REhICi8UCAEhJSYFMJsPkyZPF41944QU888wzDj+jzZs3o0GDBggMDBQLyqLc/vOKiYnB3Llz8fzzzyMoKAg1atTAZ599VuTxFosFzz//POrXr+/09Zg1axa++uor/PLLL2LLXUJCgti9tXr1anTu3BlarRbffvstrl69isGDB6Nq1arw9/dHkyZN8P333xeK+ZVXXsHrr7+O0NBQREZGYtasWeLjgiBg1qxZqFGjBjQaDaKiovDKK6845Pj2229j6NChCAwMRHR0NH799VdcuXIF/fv3R2BgIJo2berwD7xgt9TKlSsxe/ZsHDp0SMzJ3rJxO3ur1ezZs1G5cmUEBwdj1KhRMBqN4j4GgwGvvPIKwsPDodVq0aFDB+zbt098vFWrVvjggw/E+wMGDIBKpUJubi4A4MKFC5DJZDh16pR4Pnf8LjlTr149VKlSxeF8CQkJ6N+/P2rWrIm//vrLYXvXrl1LdF4qX1jckE/z8/MT/8iPGzcOu3fvxqpVq3D48GE88cQT6N27N06ePCnun5eXh3fffRdffPEF/v7771J9kt6/fz9eeeUVzJkzB8ePH8emTZvQqVMn8fF58+bh66+/xvLly/H333/j1VdfxTPPPIPExESH80yePBnz58/Hv//+i6ZNmxZ6ntzcXDz00ENo2LAhDhw4gFmzZmHSpEkO+1y8eBF9+/ZF69atcejQISxbtgz/+9//8PbbbwMAOnbsiJycHLEoSkxMRFhYmMM/lsTERIfugLy8PHzwwQf45ptvsGPHDpw7d67Q897Jhx9+KBZjY8aMwejRo3H8+PFC+xkMBjzxxBNISUnBn3/+iRo1ahTaZ9KkSXjyySfFIuvy5cto166dw89x/Pjx+Pfff9GrVy/o9Xq0bNkS69evx9GjR/Hiiy/i2Wefxd69ex3O+9VXXyEgIAB79uzBe++9hzlz5mDr1q0AgJ9//hkfffQRPv30U5w8eRLr1q1DkyZNHI7/6KOP0L59eyQnJ6Nfv3549tlnMXToUDzzzDM4ePAg7rvvPgwdOhTO1i4eNGgQJk6ciEaNGok5DRo0qMifZ3x8PP79918kJCTg+++/x5o1azB79mzx8ddffx0///wzvvrqKxw8eBC1a9dGr169kJWVBQDo3Lmz+JoLgoA///wTISEhYlGdmJiIqlWronbt2gDK/nepa9eu2L59u3h/+/bt6NKlCzp37ixuz8/Px549e1jckHNluuY40T00bNgwoX///oIgCILVahW2bt0qaDQaYdKkScLZs2cFhUIhXLx40eGYBx98UJgyZYogCILw5ZdfCgCElJSUYp+nc+fOwvjx4x229e/fXxg2bJggCILw888/C8HBwUJ2dnahY/V6veDv7y8kJSU5bB8xYoQwePBgQRAEYfv27QIAYd26dcXG8emnnwqVKlUS8vPzxW3Lli0TAAjJycmCIAjC1KlThXr16glWq1XcZ8mSJUJgYKBgsVgEQRCE+++/X3j//fcFQRCEAQMGCO+8846gVquFnJwc4cKFCwIA4cSJEw4/o1OnTjmcLyIiQrxf8HVw9vOKjo4WnnnmGfG+1WoVwsPDhWXLlgmCIAipqakCAOHPP/8UHnzwQaFDhw7C9evXi/1Z3P6cBc+zcOHCYo8VBEHo16+fMHHiRIeYO3To4LBP69athTfeeEMQBEH48MMPhbp16wpGo9Hp+W7P8fLlywIAYfr06eK23bt3CwCEy5cvC4Jg+9lWqFBBfHzmzJlCs2bN7hj7sGHDhNDQUEGn04nbli1bJr7Gubm5gkqlEr799lvxcaPRKERFRQnvvfeeIAiC8OuvvwoVKlQQzGazkJKSIkRGRgrjx48X833hhReEIUOGCIIguPV3yf5ev3btmsP2zz//XAgICBBMJpOQnZ0tKJVKISMjQ/juu++ETp06CYIgCPHx8QIA4ezZsyU6J5UvbLkhn/L7778jMDAQWq0Wffr0waBBgzBr1iwcOXIEFosFdevWRWBgoPiVmJgoDkYEALVaLbaSnDt3zmHfuXPnliiGHj16IDo6GrVq1cKzzz6Lb7/9Fnl5eQCAU6dOIS8vDz169HA499dff+0QB2DrKiiOvUVHq9WK29q2bVton7Zt20Imk4nb2rdvj9zcXFy4cAHArU/tws1P7AMHDkSDBg2wc+dOJCYmIioqCnXq1BGP9/f3F8c4AECVKlWQkZFRop+NXcGWKJlMhsjIyELnGDx4MHQ6HbZs2YIKFSq4dP6Cbv85WiwWvPXWW2jSpAlCQ0MRGBiIzZs3F+o2ub21rGCeTzzxBPLz81GrVi2MHDkSa9euLTQuquDxERERAODQumPf5urPzplmzZrB399fvN+2bVvk5ubi/PnzOH36NEwmE9q3by8+rlKpEBsbi3///ReAYwteYmIiOnfujC5duoitOQVb70rzu+SqLl26QKfTYd++ffjzzz9Rt25dVK5cGZ07dxbH3SQkJKBWrVpOW/OIlFIHQOROXbt2xbJly6BWqxEVFQWl0vYWz83NhUKhwIEDB6BQKByOCQwMFG/7+fmJhUBUVJTD5cj2gYpyubxQV0LBgapBQUE4ePAgEhISsGXLFsyYMQOzZs3Cvn37xDEM69evR9WqVR3OodFoHO4HBASU5kfgsi5dumDFihU4dOgQVCoV6tevL/5ju3btGjp37uywv0qlcrgvk8mcdq0Ux9k5bh9w2rdvX/zf//0fdu/ejW7durl0/oJu/zm+//77WLRoERYuXIgmTZogICAAEyZMcBijcqcYq1evjuPHj+OPP/7A1q1bMWbMGLz//vtITEwUjyt4vP095WybJwxaDwkJQbNmzZCQkIDdu3ejR48e6NSpk3gF18mTJ8X3QWl+l1xVu3ZtVKtWDdu3b3d4D0ZFRaF69epISkrC9u3b7+p9Qb6NxQ35lICAAHFcQEEtWrSAxWJBRkYGOnbsWKJzKZVKp+eqXLmywwBai8WCo0ePOvT9K5VKdO/eHd27d8fMmTMREhKCbdu2oUePHuLgytuLBlc1aNAA33zzDfR6vdh6U3CwpX2fn3/+GYIgiP9odu3ahaCgIFSrVg3ArU/tH330kRhTly5dMH/+fFy7dg0TJ068qzhLa/To0WjcuDEeeeQRrF+/vtifl1qtFgdF38muXbvQv39/cZC01WrFiRMn0LBhQ5fi8/Pzw8MPP4yHH34YY8eORf369XHkyBHcf//9Lp2nKK7kdOjQIeTn58PPzw+A7X0QGBiI6tWrIywsDGq1Grt27UJ0dDQAWzG+b98+h4He9vEse/fuxTvvvIPQ0FA0aNAA77zzDqpUqYK6desCKN3vUml07dpVLLBfe+01cXunTp2wceNG7N27F6NHjy6z5yfvxm4pKhfq1q2Lp59+GkOHDsWaNWuQmpqKvXv3Yt68eVi/fr1L5+rWrRvWr1+P9evX49ixYxg9erTDhGG///47Pv74Y6SkpODs2bP4+uuvYbVaUa9ePQQFBWHSpEl49dVX8dVXX+H06dM4ePAgPvnkE3z11VcuxTFkyBDIZDKMHDkS//zzDzZs2OBwxQsAjBkzBufPn8fLL7+MY8eO4ZdffsHMmTMRFxcHudz261+xYkU0bdoU3377rdj10KlTJxw8eBAnTpy46yLsbrz88st4++238dBDDxV5xRhguzrp8OHDOH78ODIzM4u95LtOnTrYunUrkpKS8O+//+Kll15Cenq6S3GtXLkS//vf/3D06FH8999/+L//+z/4+fmJxYM7xMTEIDU1FSkpKcjMzITBYChyX6PRiBEjRojvg5kzZ2LcuHGQy+UICAjA6NGj8dprr2HTpk34559/MHLkSOTl5WHEiBHiObp06YLNmzdDqVSifv364rZvv/3W4T3gzt+l4nTt2hU7d+5ESkqKw/N37twZn376KYxGIwcTU5FY3FC58eWXX2Lo0KGYOHEi6tWrhwEDBmDfvn0u99k///zzGDZsGIYOHYrOnTujVq1aDn9kQ0JCsGbNGnTr1g0NGjTA8uXL8f3336NRo0YAgLfeegvTp0/HvHnz0KBBA/Tu3Rvr169HzZo1XYojMDAQv/32G44cOYIWLVrgzTffxLvvvuuwT9WqVbFhwwbs3bsXzZo1w6hRozBixAhMmzbNYb/OnTvDYrGIxU1oaCgaNmyIyMhI1KtXz6W43G3ChAmYPXs2+vbti6SkJKf7jBw5EvXq1UOrVq1QuXJl7Nq1q8jzTZs2Dffffz969eqFLl26IDIy0uUJAENCQvD555+jffv2aNq0Kf744w/89ttvqFSpkkvnKc5jjz2G3r17o2vXrqhcuXKhy9ULevDBB1GnTh2xK+mRRx5xuHR9/vz5eOyxx/Dss8/i/vvvx6lTp7B582ZUrFhR3Kdjx46wWq0OhUSXLl0c3hd27vpdKk7Xrl2Rn5+P2rVri+OTANt7NScnR7xknMgZmeBqZzkREXmM5557DtevX8e6deukDsVl9nlqrl275ralJ8rinOR92HJDRESSqlatGgYPHnzX52nUqBH69OnjhojI23FAMRERSaJNmzbixH8Fr7QqrQ0bNojjrYKDg+/6fOS92C1FREREPoXdUkRERORTWNwQERGRT2FxQ0RERD6FxQ0RERH5FBY3RERE5FNY3BAREZFPYXFDREREPoXFDREREfmU/wdKgMVWZFcoxgAAAABJRU5ErkJggg==", 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" ] }, "metadata": {} } ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We observe that setting the fairness parameter $f=1$ results in a a roughly uniform power\n", "distribution. \n", "In contrast, when $f=0$, power is only allocated to users with good\n", "channel conditions, leaving most users with no power at\n", "all. However, increasing the guaranteed power ratio $\\rho$ helps mitigate this effect.\n", "\n", "For computational efficiency, we recommend setting $f=0$ and\n", "choosing $\\rho >0$ to ensure that all users receive some power\n", "allocation." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusions\n", "\n", "Power allocation in both uplink and downlink requires a global perspective on the network to ensure fairness across all served users.\n", "\n", "We provide two built-in functions for this purpose:\n", "\n", "- [open_loop_uplink_power_control](https://nvlabs.github.io/sionna/sys/api/sionna.sys.open_loop_uplink_power_control.html)\n", " for uplink power allocation following the open-loop procedure described in 3GPP TS 38.213 [[1]](#references)\n", "- [downlink_fair_power_control](https://nvlabs.github.io/sionna/sys/api/sionna.sys.downlink_fair_power_control.html)\n", " for fair downlink power allocation.\n", "\n", "Note that power control is closely tied to scheduling: once users are assigned\n", "to resource elements and streams, the transmission power is determined\n", "accordingly. \n", "For more\n", "details on scheduling, refer to the [Proportional\n", "Fairness Scheduler\n", "notebook](https://nvlabs.github.io/sionna/sys/tutorials/notebooks/Scheduling.html).\n", "The\n", "[System-Level Simulations\n", "notebook](https://nvlabs.github.io/sionna/sys/tutorials/notebooks/End-to-End_Example.html)\n", "further illustrates how scheduling and power control interact.\n", "\n", "## References\n", "[1] 3GPP TS 38.213. \"NR; Physical layer procedures for control\" \n", "[2] J. Mo, J. Walrand. *Fair end-to-end window-based congestion control*. IEEE/ACM Transactions on networking 8.5 (2000): 556-567." ] } ], "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": 2 }