{ "cells": [ { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "# Optical Channel with Lumped Amplification" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this notebook, you will learn how to simulate the transmission of a single Gaussian impulse over a\n", "lumped amplification channel model consisting of multiple fiber spans and optical amplifiers, so-called Erbium Doped Fiber Amplifiers (EDFA), as shown in the Figure below. We assume a *standard single mode fiber* (S-SMF) and denote the fiber length between two amplifiers by $\\ell_\\text{span}$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "![SSFM](data:image/png;base64,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] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "Let $G$ denote the amplifier gain and $F$ the noise figure of each EDFA.\n", "\n", "As we focus on the optical channel and not the corresponding signal processing, \n", "the transmitter directly generates the optical signal. Hence, all\n", "components that, in practice, are required to\n", "generate the optical signal given an electrical control voltage\n", "(e.g., the Mach-Zehnder-Modulator (MZM)) are assumed to be ideal or are neglected. The same holds on the receiver side, where the photodiode that would add shot noise is neglected.\n", "\n", "To provide a better understanding of the implemented channel impairments (attenuation, noise, dispersion,\n", "nonlinearity) introduced during propagation, those are successively\n", "enabled, starting with attenuation." ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "## Table of Contents\n", "- [Setup](#Setup)\n", "- [Attenuation](#Attenuation)\n", "- [Amplified Spontaneous Emission Noise](#Amplified-Spontaneous-Emission-Noise)\n", "- [Chromatic Dispersion](#Chromatic-Dispersion)\n", "- [Kerr Nonlinearity](#Kerr-Nonlinearity)\n", "- [Split-Step Fourier Method](#Split-Step-Fourier-Method)\n", "- [References](#References)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Setup" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2026-02-13T14:41:47.347116Z", "iopub.status.busy": "2026-02-13T14:41:47.347006Z", "iopub.status.idle": "2026-02-13T14:41:50.179903Z", "shell.execute_reply": "2026-02-13T14:41:50.178626Z" } }, "outputs": [], "source": [ "import os\n", "\n", "# Import Sionna\n", "try:\n", " import sionna.phy\n", "except ImportError as e:\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", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "\n", "# Set random seed for reproducibility\n", "from sionna.phy import config\n", "from sionna.phy.channel import utils\n", "config.seed = 42" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "## Impulse Generation\n", "\n", "Before diving into the first channel model, the simulation shall be parametrized and the\n", "initial Gaussian impulse\n", "\n", "$$g(t)=\\sqrt{P_0\\cdot 2^{\\left(-\\left(\\frac{2t}{T_0}\\right)^2\\right)}}$$\n", "\n", "is generated. The impulse shall have peak power $P_0$ and a pulse duration of $T_0$.\n", "Note that the Gaussian filter is infinitely long, such that $T_0$ is the\n", "full width at half-maximum (FWHM) pulse duration.\n", "\n", "Further, the simulation window is set to $T_\\mathrm{sim}=1000\\,\\mathrm{ps}$ and the sample duration\n", "is set to $\\Delta_t=1\\,\\mathrm{ps}$." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2026-02-13T14:41:50.182078Z", "iopub.status.busy": "2026-02-13T14:41:50.181758Z", "iopub.status.idle": "2026-02-13T14:41:50.186021Z", "shell.execute_reply": "2026-02-13T14:41:50.185125Z" } }, "outputs": [ { "data": { "text/plain": [ "torch.complex128" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "config.precision=\"double\"\n", "config.cdtype" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-02-13T14:41:50.211256Z", "iopub.status.busy": "2026-02-13T14:41:50.211061Z", "iopub.status.idle": "2026-02-13T14:41:50.369566Z", "shell.execute_reply": "2026-02-13T14:41:50.368801Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "# Simulation parameters\n", "t_sim = int(1e4) # (ps) Simulation time window\n", "n_sim = int(1e4) # Number of simulation samples\n", "\n", "# Channel parameters\n", "n_span = 3\n", "\n", "# Impulse parameters\n", "p_0 = 3e-2 # (W) Peak power of the Gaussian pulse\n", "t_0 = 50 # (ps) Norm. temporal scaling of the Gaussian pulse\n", "\n", "# Support\n", "dt = t_sim / n_sim # (s) sample duration\n", "t, f = utils.time_frequency_vector(n_sim, dt) # (ps), (THz) Time and frequency vector\n", "\n", "# Generate Gaussian impulse\n", "g_0 = np.sqrt(p_0 * 2**(-((2.0*t.cpu().numpy() / t_0) ** 2.0)))\n", "g_0 = torch.complex(torch.tensor(g_0, dtype=config.dtype), torch.zeros_like(torch.tensor(g_0, dtype=config.dtype)))\n", "G_0 = torch.fft.fftshift(\n", " torch.abs(\n", " dt *\n", " torch.fft.fft(g_0) /\n", " np.sqrt(2 * np.pi)\n", " ) ** 2\n", ")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-02-13T14:41:50.371801Z", "iopub.status.busy": "2026-02-13T14:41:50.371671Z", "iopub.status.idle": "2026-02-13T14:41:50.555702Z", "shell.execute_reply": "2026-02-13T14:41:50.554866Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(2, 1)\n", "\n", "ax1.plot(t.cpu().numpy().flatten(), np.abs(g_0.cpu().numpy().flatten())**2, '-')\n", "ax1.set_xlim(-150, 150)\n", "ax1.set_xlabel(r\"$t$ in (ps)\")\n", "ax1.set_ylabel(r\"$|g(t)|^2$ in (W)\")\n", "ax1.grid()\n", "\n", "ax2.plot(\n", " f.cpu().numpy().flatten(),\n", " (G_0.cpu().numpy().flatten())/np.max(G_0.cpu().numpy().flatten()),\n", " '-')\n", "ax2.set_xlim(-0.015, 0.015)\n", "ax2.set_xlabel(r\"$f-f_c$ in (THz)\")\n", "ax2.set_ylabel(r\"$\\frac{|G(f-f_c)|^2}{|G_\\mathrm{max}|^2}$\")\n", "ax2.grid()\n", "\n", "ax1.legend(['transmitted'])\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Attenuation\n", "\n", "Attenuation is present in all media including optical fibers. A typical value\n", "of $\\alpha=0.046\\,\\mathrm{km}^{-1}$ is used in this notebook.\n", "To compensate for this, Erbium doped fiber amplifiers (EDFAs) are required, as shown in\n", "the figure at the beginning of this notebook." ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "## Amplified Spontaneous Emission Noise\n", "\n", "An optical channel model contains several sources of noise, e.g., amplified spontaneous\n", "emission (ASE) and Rayleigh scattering. However, for this experiment, only ASE\n", "noise is implemented. It was shown in [1] that this is the most dominant source of noise.\n", "\n", "As we assume a discrete lumped amplification, ASE noise is introduced only due to the amplification by\n", "the EDFAs. The noise power is given as\n", "\n", "$$P_\\mathrm{ASE}=\\rho_\\mathrm{ASE}\\cdot f_\\text{sim}=\\frac{1}{2}G F h f_\\text{c}\\cdot f_\\mathrm{sim}$$\n", "\n", "and, hence, depends on the gain $G$, the (linear) noise figure $F$, the carrier frequency $f_\\text{c}$,\n", "and the simulation bandwidth $f_\\mathrm{sim}$. The intermediate quantitiy $\\rho_\\mathrm{ASE}$ denotes the noise\n", "spectral density of the EDFAs and $h$ is Planck's constant. Usually, not the simulation bandwidth but the captured\n", "bandwidth $W$ of the receiver is used. Here, for demonstration purpose, our receiver has an infinite\n", "bandwidth that is only limited by the simulation $W=f_\\mathrm{sim}$.\n", "\n", "**Note** that Sionna also provides ideally distributed Raman amplification, where the noise is introduced in\n", "a fiber span. This can be enabled by setting `with_amplification` to `True` when instantiating the `SSFM` layer." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Channel Configuration" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The fiber (i.e., *SSFM*) is implemented using normalized units for distance and time.\n", "Hence, it is required that the units of the same kind (time, distance, power) for all\n", "parameters ($\\alpha$, $\\beta_2$, ...) have to be given with the same unit prefix,\n", "e.g., for time use always $\\mathrm{ps}$. This does not only simplify the usage of the SSFM but also prevents from dealing with different\n", "orders of magnitude within the SSFM.\n", "\n", "For our first experiment only ASE noise is considered and, thus, nonlinearity and chromatic dispersion (CD) are disabled.\n", "Attenuation is kept enabled such that the amplifiers are required and introduce the noise.\n", "The gain is chosen such that the link becomes transparent (input power equals output power)." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-02-13T14:41:50.558119Z", "iopub.status.busy": "2026-02-13T14:41:50.557975Z", "iopub.status.idle": "2026-02-13T14:41:50.560722Z", "shell.execute_reply": "2026-02-13T14:41:50.560077Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "# Normalization\n", "t_norm = 1e-12 # (s) -> (ps) Time normalization\n", "z_norm = 1e3 # (m) -> (km) Distance normalization\n", "\n", "# Fiber parameters\n", "f_c = 193.55e12 # (Hz) Abs. Carrier frequency\n", "length_sp = 80.0 # (km) Norm. fiber span length\n", "alpha = 0.046 # (1/km) Norm. fiber attenuation\n", "\n", "# EDFA parameters\n", "g_edfa = np.exp(alpha * length_sp)\n", "f_edfa = 10**(5/10) # (1) Noise figure" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-02-13T14:41:50.562633Z", "iopub.status.busy": "2026-02-13T14:41:50.562517Z", "iopub.status.idle": "2026-02-13T14:41:50.600894Z", "shell.execute_reply": "2026-02-13T14:41:50.600052Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "span = sionna.phy.channel.optical.SSFM(\n", " alpha=alpha,\n", " f_c=f_c,\n", " length=length_sp,\n", " sample_duration=dt,\n", " with_amplification=False,\n", " with_attenuation=True,\n", " with_dispersion=False,\n", " with_nonlinearity=False,\n", " t_norm=t_norm)\n", "\n", "amplifier = sionna.phy.channel.optical.EDFA(\n", " g=g_edfa,\n", " f=f_edfa,\n", " f_c=f_c,\n", " dt=dt * t_norm # t_norm is in absolute (not normalized) units\n", " )\n", "\n", "def lumped_amplification_channel(inputs):\n", " (u_0) = inputs\n", "\n", " u = u_0\n", " for _ in range(n_span):\n", " u = span(u)\n", " u = amplifier(u)\n", "\n", " return u" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "### Transmission\n", "\n", "Next, the impulse is transmitted over the channel and the output is visualized." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-02-13T14:41:50.603266Z", "iopub.status.busy": "2026-02-13T14:41:50.603130Z", "iopub.status.idle": "2026-02-13T14:41:50.686091Z", "shell.execute_reply": "2026-02-13T14:41:50.685323Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "x = g_0\n", "y = lumped_amplification_channel(x)\n", "\n", "X = torch.fft.fftshift(\n", " torch.abs(\n", " dt *\n", " torch.fft.fft(x) /\n", " np.sqrt(2 * np.pi)\n", " ) ** 2\n", ")\n", "\n", "Y = torch.fft.fftshift(\n", " torch.abs(\n", " dt *\n", " torch.fft.fft(y) /\n", " np.sqrt(2 * np.pi)\n", " ) ** 2\n", ")" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-02-13T14:41:50.688210Z", "iopub.status.busy": "2026-02-13T14:41:50.688079Z", "iopub.status.idle": "2026-02-13T14:41:50.850938Z", "shell.execute_reply": "2026-02-13T14:41:50.850153Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(2, 1)\n", "\n", "ax1.plot(t.cpu().numpy().flatten(), np.abs(x.cpu().numpy().flatten())**2, '-')\n", "ax1.plot(t.cpu().numpy().flatten(), np.abs(y.cpu().numpy().flatten())**2, '--')\n", "ax1.set_xlim(-150, 150)\n", "ax1.set_xlabel(r\"$t$ in (ps)\")\n", "ax1.set_ylabel(r\"$|g(t)|^2$ in (W)\")\n", "ax1.grid()\n", "\n", "ax2.plot(\n", " f.cpu().numpy().flatten(),\n", " (X.cpu().numpy().flatten())/np.max(X.cpu().numpy().flatten()),\n", " '-')\n", "ax2.plot(\n", " f.cpu().numpy().flatten(),\n", " (Y.cpu().numpy().flatten())/np.max(Y.cpu().numpy().flatten()),\n", " '--')\n", "ax2.set_xlim(-0.015, 0.015)\n", "ax2.set_xlabel(r\"$f-f_c$ in (THz)\")\n", "ax2.set_ylabel(r\"$\\frac{|G(f-f_c)|^2}{|G_\\mathrm{max}|^2}$\")\n", "ax2.grid()\n", "\n", "ax1.legend(['transmitted', 'received'])\n", "plt.tight_layout()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "As can be seen, attenuation is completely compensated by the EDFAs. However, they introduce significant noise.\n" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "## Chromatic Dispersion\n", "\n", "After having seen how the noise distorts the original Gaussian impulse, we can now\n", "enable the next linear effect, which is chromatic dispersion (CD). Regarding the nonlinear Schrödinger\n", "equation that describes the propagation of an optical signal, the impact of CD is parametrized\n", "by the group velocity dispersion (GVD) parameter $\\beta_2$, where $\\beta_2=-21.67\\,\\mathrm{ps}^2\\mathrm{km}^{-1}$ is a typical choice.\n", "\n", "### Channel Configuration\n", "\n", "Besides the present parameters we now set $\\beta_2$. For a better understanding of\n", "CD we disable the noise (`EDFA.f = 0`) from the previous section." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-02-13T14:41:50.853228Z", "iopub.status.busy": "2026-02-13T14:41:50.853094Z", "iopub.status.idle": "2026-02-13T14:41:50.855478Z", "shell.execute_reply": "2026-02-13T14:41:50.854790Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "beta_2 = -21.67 # (ps^2/km) Norm. group velocity dispersion" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-02-13T14:41:50.857246Z", "iopub.status.busy": "2026-02-13T14:41:50.857129Z", "iopub.status.idle": "2026-02-13T14:41:50.860989Z", "shell.execute_reply": "2026-02-13T14:41:50.860347Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "span_cd = sionna.phy.channel.optical.SSFM(\n", " alpha=alpha,\n", " beta_2=beta_2,\n", " f_c=f_c,\n", " length=length_sp,\n", " sample_duration=dt,\n", " with_amplification=False,\n", " with_attenuation=True,\n", " with_dispersion=True,\n", " with_nonlinearity=False,\n", " t_norm=t_norm)\n", "\n", "amplifier_cd = sionna.phy.channel.optical.EDFA(\n", " g=g_edfa,\n", " f=0,\n", " f_c=f_c,\n", " dt=dt * t_norm)\n", "\n", "\n", "def lumped_amplification_channel_cd(inputs):\n", " (u_0) = inputs\n", "\n", " u = u_0\n", " for _ in range(n_span):\n", " u = span_cd(u)\n", " u = amplifier_cd(u)\n", "\n", " return u" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "### Transmission\n", "\n", "We now transmit the previously generated Gaussian impulse over the optical fiber and compare the received signal with the transmitted impulse.\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-02-13T14:41:50.862894Z", "iopub.status.busy": "2026-02-13T14:41:50.862768Z", "iopub.status.idle": "2026-02-13T14:41:50.872759Z", "shell.execute_reply": "2026-02-13T14:41:50.872050Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "x = g_0 # previously generated Gaussian impulse\n", "y = lumped_amplification_channel_cd(x)\n", "\n", "X = torch.fft.fftshift(\n", " torch.abs(\n", " dt *\n", " torch.fft.fft(x) /\n", " np.sqrt(2 * np.pi)\n", " ) ** 2\n", ")\n", "\n", "Y = torch.fft.fftshift(\n", " torch.abs(\n", " dt *\n", " torch.fft.fft(y) /\n", " np.sqrt(2 * np.pi)\n", " ) ** 2\n", ")\n", "\n", "X_angle = torch.angle(torch.fft.fftshift(torch.fft.fft(x)))\n", "Y_angle = torch.angle(torch.fft.fftshift(torch.fft.fft(y)))" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-02-13T14:41:50.874892Z", "iopub.status.busy": "2026-02-13T14:41:50.874761Z", "iopub.status.idle": "2026-02-13T14:41:51.029705Z", "shell.execute_reply": "2026-02-13T14:41:51.028990Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(2, 1)\n", "\n", "ax1.plot(t.cpu().numpy().flatten(), np.abs(x.cpu().numpy().flatten())**2, '-')\n", "ax1.plot(t.cpu().numpy().flatten(), np.abs(y.cpu().numpy().flatten())**2, '--')\n", "ax1.set_xlim(-250, 250)\n", "ax1.set_xlabel(r\"$t$ in (ps)\")\n", "ax1.set_ylabel(r\"$|g(t)|^2$ in (W)\")\n", "ax1.grid()\n", "\n", "ax2.plot(\n", " f.cpu().numpy().flatten(),\n", " (X.cpu().numpy().flatten())/np.max(X.cpu().numpy().flatten()),\n", " '-')\n", "ax2.plot(\n", " f.cpu().numpy().flatten(),\n", " (Y.cpu().numpy().flatten())/np.max(Y.cpu().numpy().flatten()),\n", " '--')\n", "ax2.set_xlim(-0.015, 0.015)\n", "ax2.set_xlabel(r\"$f-f_c$ in (THz)\")\n", "ax2.set_ylabel(r\"$\\frac{|G(f-f_c)|^2}{|G_\\mathrm{max}|^2}$\")\n", "ax2.grid()\n", "\n", "ax1.legend(['transmitted', 'received'])\n", "plt.tight_layout()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "Compared to the transmit impulse the received one has significantly broadened in time.\n", "The absolute value of the spectrum, nevertheless, stayed the same.\n", "By plotting the phase of the received signal one can see the typical parabolic shift." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-02-13T14:41:51.032057Z", "iopub.status.busy": "2026-02-13T14:41:51.031923Z", "iopub.status.idle": "2026-02-13T14:41:51.169866Z", "shell.execute_reply": "2026-02-13T14:41:51.169029Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1) = plt.subplots(1, 1, tight_layout=True)\n", "\n", "ax1.plot(t.cpu().numpy().flatten(), np.angle(x.cpu().numpy().flatten()), '-')\n", "ax1.plot(t.cpu().numpy().flatten(), np.angle(y.cpu().numpy().flatten()), '--')\n", "ax1.set_xlim(-750, 750)\n", "ax1.set_xlabel(r\"$t$ in (ps)\")\n", "ax1.set_ylabel(\"$\\u2220 x(t), \\u2220 y(t)$\")\n", "ax1.grid()\n", "\n", "ax1.legend(['transmitted', 'received'])\n", "plt.tight_layout()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Kerr Nonlinearity\n", "\n", "Last, we depict the Kerr nonlinearity and, for a better understanding, disable all previous impairments.\n", "This nonlinear effect applies a phase shift to the transmitted signal depending on its\n", "instantaneous power. Hence, we should see a phase that, in contrast to the phase of the original signal which is zero, follows the (inverse) absolute value of the impulse.\n", "\n", "**Note:** Only the interaction between Kerr nonlinearity and CD requires an\n", "SSFM for fiber simulation. Otherwise (as done so far), the transfer function\n", "of the individual effect is just a single multiplication (in time- or Fourier-domain,\n", "respectively).\n", "\n", "### Channel configuration\n", "\n", "Similarly to the definition of CD, we specify a typical value for $\\gamma=1.27\\,\\mathrm{\\frac{1}{km W}}$." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-02-13T14:41:51.171951Z", "iopub.status.busy": "2026-02-13T14:41:51.171810Z", "iopub.status.idle": "2026-02-13T14:41:51.174322Z", "shell.execute_reply": "2026-02-13T14:41:51.173579Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "gamma = 1.27 # (1/W/km) Nonlinearity coefficient" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-02-13T14:41:51.176075Z", "iopub.status.busy": "2026-02-13T14:41:51.175959Z", "iopub.status.idle": "2026-02-13T14:41:51.179830Z", "shell.execute_reply": "2026-02-13T14:41:51.179245Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "span_nl = sionna.phy.channel.optical.SSFM(\n", " alpha=alpha,\n", " beta_2=beta_2,\n", " f_c=f_c,\n", " length=length_sp,\n", " sample_duration=dt,\n", " with_amplification=False,\n", " with_attenuation=True,\n", " with_dispersion=False,\n", " with_nonlinearity=True,\n", " t_norm=t_norm)\n", "\n", "amplifier_nl = sionna.phy.channel.optical.EDFA(\n", " g=g_edfa,\n", " f=0,\n", " f_c=f_c,\n", " dt=dt * t_norm)\n", "\n", "\n", "def lumped_amplification_channel_nl(inputs):\n", " (u_0) = inputs\n", "\n", " u = u_0\n", " for _ in range(n_span):\n", " u = span_nl(u)\n", " u = amplifier_nl(u)\n", "\n", " return u" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Transmission\n", "\n", "We now transmit the same Gaussian impulse again over the optical fiber where only Kerr nonlinearity is activated.\n" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-02-13T14:41:51.181960Z", "iopub.status.busy": "2026-02-13T14:41:51.181849Z", "iopub.status.idle": "2026-02-13T14:41:51.188072Z", "shell.execute_reply": "2026-02-13T14:41:51.187226Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "x = g_0\n", "y = lumped_amplification_channel_nl(x)\n", "\n", "X = torch.fft.fftshift(\n", " torch.abs(\n", " dt *\n", " torch.fft.fft(x) /\n", " np.sqrt(2 * np.pi)\n", " ) ** 2\n", ")\n", "\n", "Y = torch.fft.fftshift(\n", " torch.abs(\n", " dt *\n", " torch.fft.fft(y) /\n", " np.sqrt(2 * np.pi)\n", " ) ** 2\n", ")\n", "\n", "X_angle = torch.angle(torch.fft.fftshift(torch.fft.fft(x)))\n", "Y_angle = torch.angle(torch.fft.fftshift(torch.fft.fft(y)))" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-02-13T14:41:51.189832Z", "iopub.status.busy": "2026-02-13T14:41:51.189711Z", "iopub.status.idle": "2026-02-13T14:41:51.351096Z", "shell.execute_reply": "2026-02-13T14:41:51.350322Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(2, 1)\n", "\n", "ax1.plot(t.cpu().numpy().flatten(), np.abs(x.cpu().numpy().flatten())**2, '-')\n", "ax1.plot(t.cpu().numpy().flatten(), np.abs(y.cpu().numpy().flatten())**2, '--')\n", "ax1.set_xlim(-150, 150)\n", "ax1.set_xlabel(r\"$t$ in (ps)\")\n", "ax1.set_ylabel(\"$\\u2220 x(t), \\u2220 y(t)$\")\n", "ax1.grid()\n", "\n", "ax2.plot(\n", " f.cpu().numpy().flatten(),\n", " (X.cpu().numpy().flatten())/np.max(X.cpu().numpy().flatten()),\n", " '-')\n", "ax2.plot(\n", " f.cpu().numpy().flatten(),\n", " (Y.cpu().numpy().flatten())/np.max(Y.cpu().numpy().flatten()),\n", " '--')\n", "ax2.set_xlim(-0.015, 0.015)\n", "ax2.set_xlabel(r\"$f-f_c$ in (THz)\")\n", "ax2.set_ylabel(r\"$\\frac{|G(f-f_c)|^2}{|G_\\mathrm{max}|^2}$\")\n", "ax2.grid()\n", "\n", "ax1.legend(['transmitted', 'received'])\n", "plt.tight_layout()\n", "\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "As shown in the previous plot the (isolated) Kerr nonlinearity does not affect the\n", "absolute value of the signal's amplitude but only shifts the phase (see below).\n", "\n", "Further, the bandwidth of the transmit signal was slightly increased.\n", "\n", "**Hint**: Increasing the peak power $p_0$ of the transmitted impuls increases the impact of the Kerr nonlinearity.\n" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-02-13T14:41:51.353058Z", "iopub.status.busy": "2026-02-13T14:41:51.352927Z", "iopub.status.idle": "2026-02-13T14:41:51.462799Z", "shell.execute_reply": "2026-02-13T14:41:51.462022Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1) = plt.subplots(1, 1, tight_layout=True)\n", "\n", "ax1.plot(t.cpu().numpy().flatten(), np.angle(x.cpu().numpy().flatten()), '-')\n", "ax1.plot(t.cpu().numpy().flatten(), np.angle(y.cpu().numpy().flatten()), '--')\n", "ax1.set_xlim(-750, 750)\n", "ax1.set_xlabel(\"$t$ in (ps)\")\n", "ax1.set_ylabel(\"$\\u2220 x(t), \\u2220 y(t)$\")\n", "ax1.grid()\n", "\n", "ax1.legend(['transmitted', 'received'])\n", "plt.tight_layout()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "## Split-Step Fourier Method\n", "\n", "Last, we perform the true SSFM to simulate the impairments (ASE noise, CD, and Kerr\n", "nonlinearity) jointly.\n", "\n", "### Channel Configuration\n", "\n", "Keeping the former configuration, we only have to increase the number of SSFM simulation steps." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-02-13T14:41:51.464763Z", "iopub.status.busy": "2026-02-13T14:41:51.464627Z", "iopub.status.idle": "2026-02-13T14:41:51.467069Z", "shell.execute_reply": "2026-02-13T14:41:51.466362Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "n_ssfm = 160 # number of SSFM simulation steps" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-02-13T14:41:51.468787Z", "iopub.status.busy": "2026-02-13T14:41:51.468674Z", "iopub.status.idle": "2026-02-13T14:41:51.472697Z", "shell.execute_reply": "2026-02-13T14:41:51.471975Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "span_ssfm = sionna.phy.channel.optical.SSFM(\n", " alpha=alpha,\n", " beta_2=beta_2,\n", " gamma=gamma,\n", " f_c=f_c,\n", " length=length_sp,\n", " sample_duration=dt,\n", " n_ssfm=n_ssfm,\n", " with_amplification=False,\n", " with_attenuation=True,\n", " with_dispersion=True,\n", " with_nonlinearity=True,\n", " t_norm=t_norm)\n", "\n", "amplifier_ssfm = sionna.phy.channel.optical.EDFA(\n", " g=g_edfa,\n", " f=0,\n", " f_c=f_c,\n", " dt=dt * t_norm)\n", "\n", "def lumped_amplification_channel_ssfm(inputs):\n", " u_0 = inputs\n", "\n", " u = u_0\n", " for _ in range(1):\n", " u = span_ssfm(u)\n", " u = amplifier_ssfm(u)\n", "\n", " return u" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Transmission\n", "\n", "We transmit the Gaussian impulse over the optical fiber. However, we have now enabled ASE noise, CD, and Kerr\n", "nonlinearity." ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-02-13T14:41:51.474414Z", "iopub.status.busy": "2026-02-13T14:41:51.474300Z", "iopub.status.idle": "2026-02-13T14:41:51.527533Z", "shell.execute_reply": "2026-02-13T14:41:51.526782Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [], "source": [ "x = g_0\n", "y = lumped_amplification_channel_ssfm(x)\n", "\n", "X = torch.fft.fftshift(\n", " torch.abs(\n", " dt *\n", " torch.fft.fft(x) /\n", " np.sqrt(2 * np.pi)\n", " ) ** 2\n", ")\n", "\n", "Y = torch.fft.fftshift(\n", " torch.abs(\n", " dt *\n", " torch.fft.fft(y) /\n", " np.sqrt(2 * np.pi)\n", " ) ** 2\n", ")\n", "\n", "X_angle = torch.angle(torch.fft.fftshift(torch.fft.fft(x)))\n", "Y_angle = torch.angle(torch.fft.fftshift(torch.fft.fft(y)))" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-02-13T14:41:51.529419Z", "iopub.status.busy": "2026-02-13T14:41:51.529297Z", "iopub.status.idle": "2026-02-13T14:41:51.688489Z", "shell.execute_reply": "2026-02-13T14:41:51.687763Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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Nli1b0qpVK86cOcOaNWtQqy2XdowYMYI6derQsmVLvL292bJlC3Z2dnz++ed89dVXBAQE0KdPHwCee+45vv76axYtWkSjRo3o1KkTixcvNk+P4uLiwu+//87+/ftp1qwZ77zzDh9//LHFYi1JKuVuxksLANLS0nB3dycpKUkmS7QwvV7PmjVr6NWr1039N8S9kbq92ZeRJ5i29iiBno6Ev9IJh2L2WbJE3e4/f4Xes/8FYM3oDtQPcCvWecqb0va+zcnJ4fTp0wQHBxfoaF8WGY1G0tLScHNzs2jCVVHc6r2QnJyMl5cXV65cwc2tZH+X5X9SCFEhXcnSMy/SNCIurFvtYid1ltKoqjsPN/YH4LP1R20aixCi7JLETghRIX216SRpOfnU9nXhkSbWnbPuToV1q41GrSLiSCK7zqTYOhwhRBkkiZ0QosJJTM9h0ZYzALzWvQ4atcq2AV1Vw9uF/i2qAjBt3dG7WllACCFAEjshRAU0558TZOsNNKvmQbf6vrYOp4AxXUOwt1Oz43QKG49dsnU4QogyRhI7IUSFci4li6U7TKMBXw+tY54EtbTwd3dkaFvT8kufrDuK0SitdkKIOyeJnRCiQpn9zwn0BoUOIV60r+ll63AK9VKXWjjbazh4MY31hxJsHY4QogyRxE4IUWHEX8nh5+jzAIztGmLjaIrm6WzP0/cFATB340npayeEuGOS2AkhKoxv/j2F3qDQOtiTFtUts6yRtTzdPhidnZq951KJOpVs63CEEGWEJHZCiAohNSuPpdtNfete7FzTxtHcnrerjgEtAwGYe3W+PSHKmqeffpq+ffta/ToqlYrVq1db/TplQdlYuVgIIe7Rt1FnycwzUM/fjc61vW0dzh0Z2bEGS3fEsvl4EgcuXKFhFXdbhyTEXZk1a5Z0JShh0mInhCj3svLyWbTlNGBqrSttI2GLEujpRO+rq1HM3SitdsKy8vLyrH4Nd3d3PDw8rH4dcZ0kdkKIcm/lznNcztJTzdOJXg39bB3OXXnh6m3jv/bHcTop08bRiLKsc+fOjBo1irFjx+Ll5UXPnj05dOgQvXr1wsXFBV9fX5566imSkpLMxxiNRqZNm0atWrXQ6XRUq1aNDz/80Lz/3LlzDBgwAA8PDzw9PenTpw9nzpwx77/xVuz8+fMJCAjAaDQWiKtPnz4888wz5ue//vorzZs3x8HBgRo1ajBp0iTy8/PN+48fP07Hjh1xcHCgfv36hIeHW7imyjZJ7IQQ5ZreYGTBZlNr3ciONbDTlK2Pvbp+bjxQ1wejAvM3nbJ1OKKMW7JkCfb29mzZsoWPPvqIPn360KxZM3bt2sXatWtJSEhgwIAB5vLjxo1j6tSpjB8/nkOHDrF06VJ8fU2Teuv1ekJDQ3F1dWXz5s1s2bIFFxcXevToUWhrYP/+/UlOTmbDhg3mbSkpKaxdu5YhQ4YAsHnzZoYOHcqYMWM4dOgQX331FYsXLzYnk0ajkX79+mFvb8/27duZN28eb775pjWrrMyRPnZCiHJt3cF4LqRm4+Viz+NXl+sqa17oVJN/jiTy857zvB5aB09ne1uHJP4r7xatqSoNaB3usKwatI63L2vvfHfxXRUSEsK0adMAmDx5Mo0bN+bDDz9ErTZ94Vm4cCGBgYEcO3YMf39/Zs2axezZsxk2bBgANWvW5P777wdgxYoVGI1Gvv76a3P3hkWLFuHh4UFkZCTdu3cvcO1KlSrRs2dPli5dyoMPPgjAqlWr8PLyokuXLgBMmjSJt956y3y9GjVqMHnyZN544w0mTpzI33//zZEjR1i3bh0BAQEAfPTRR/Ts2bNY9VEeSWInhCjXrq0JO7hNdRy0GtsGU0ytgirRsIobBy6ksWxHLC93qWXrkMR/fRRQ9L6Q7jDkx+vPP6kF+qzCy1a/H4b/ef35zEaQVch0N+9dKVaYLVq0MP+8d+9eNm/ejJub203lTp48SWpqKrm5ueYk7L/27t3LiRMncHV1LbA9JyeHkycL7xM6ZMgQRowYwZdffolOp+OHH37giSeeMCeWe/fuZcuWLQVu9xoMBnJycsjKyuLw4cMEBgaakzqAdu3a3XkFVACS2Akhyq1951PZffYyWo2KJ9tUs3U4xaZSqRjePphXf9zLd1FnGdmxBtoydktZlA7Oztdb+jIyMujRoweffvqpObG6xt/fn1Onbn3rPyMjgxYtWvDDDz/ctM/bu/CR571790ZRFP78809atWrF5s2bmTFjRoFzTpo0iX79+t10rIODw03bxM0ksRNClFvXWuseauSPj1vZ/qPwcBN/pvx1hPi0HNYeiKd3k1u0EImS9/bFovep/tNS/PqJW5T9T8I+dn/xY7qN5s2bs2rVKoKCgrC3v/n2fkhICI6OjkRERPDcc88VevyKFSvw8fEptNWvMA4ODvTr148ffviBEydOUKdOHZo3b17gnEePHqVWrcJbpevVq8e5c+eIi4vD3980Ynzbtm13dO2KQr7yCSHKpcS0HP7YZ/pjO/y+YBtHc+90dhqGXG11vDZ1iyhF7J2Lfmgd7qKs452VtYCXXnqJy5cvM3jwYHbu3MnJkydZt24dw4cPx2Aw4ODgwJtvvskbb7zBt99+y8mTJ9m2bRvffPMNYLqt6uXlRZ8+fdi8eTOnT58mMjKS0aNHc/78+SKvO2TIEP78808WLlxoHjRxzYQJE/j222+ZNGkSBw8e5PDhwyxfvpx3330XgK5du1K7dm2GDRtmvpX8zjvvWKQ+yguLJHZ6vZ5z585x9OhRUlJSLHFKIYS4Jz9sj0VvUGhezYMmgR62DscihrSthlajYk9sKnvPpdo6HFHGBQQEsHbtWgwGA927d6dRo0aMHTsWDw8P863Z8ePH8+qrrzJhwgTq1avHwIEDSUxMBMDJyYlNmzZRrVo1+vXrR7169Xj22WfJycm5ZQveAw88gKenJ0ePHmXw4MEF9oWGhvLHH3+wfv16WrVqRdu2bZkxYwbVq1cHQK1W88svv5CdnU3r1q157rnnCvTHE/dwKzY9PZ3vv/+e5cuXs2PHDvLy8lAUBZVKRdWqVenevTsjR46kVatWloxXCCFuKzffwA/bzwLlo7XuGh9XB3o3DuDn6Ass2nKamU80s3VIogyJjIy8aVvNmjX56aefbupjd41areadd94pslXMz8+PJUuWFHnNxYsXF3rOixeLvnUdGhpKaGhokftr167N5s2bC2yT1S2uK1aL3fTp0wkKCmLRokV07dqV1atXExMTw7Fjx4iKimLixInk5+fTvXt3evTowfHjxy0dtxBCFOnPfXEkZeTh5+ZAjzI2IfHtXEtU/9wfR2Jajo2jEUKUNsVqsdu5cyebNm2iQYMGhe5v3bo1zzzzDPPmzWPRokVs3ryZkJCQewpUCCHu1PfbTK11T7atVu5Gjzaq6k6L6pXYffYyK3ae438PymerEOK6Yn3iLVu2DCcnp9uW0+l0vPDCCwWWChFCCGs6Ep/GnthU7NQqBrQKtHU4VvFkW9MgimU7YjEY5RaUEOK6Yn+VrVmzJsHBwTzzzDN89913txwBI4QQJWX5jnMAdK3ni49r2Z7ipCg9G/rj4aTl4pUcIo8m2jocIUQpUuzE7p9//mHYsGGcOnWKkSNHUr16dUJCQnj++edZvnw5CQkJloxTCCFuKzvPwM97TF8yB5XhCYlvx0Grof/V5dF+2B5r42iEEKVJsUfFdu7cmc6dOwOm5UO2bt1KZGQkkZGRLFmyBL1eT926dTl48KClYhVCiFtasz+OtJx8qng40qGWl63DsapBrauxYPNpNhxN5PzlLKpWun33GGE5MgpTlNb3gEV6FTs4OPDAAw/w7rvvMmnSJEaPHo2LiwtHjhyxxOmFEOKOLNthar0a1DoQtVpl42isq4a3C/fVqoyiXL/9LKxPq9UCkJVVxFqvosLIy8sDQKMpXWtQ39OSYnl5eWzbto0NGzYQGRnJ9u3bCQwMpGPHjsyePZtOnTpZKk4hhLilYwnp7Dp7GY1axYCW5XPQxH8NaVOdLSeSWb7zHGO6hpS7EcClkUajwcPDo8AkvSpV2fwSYTQaycvLIycnp8h57EThjEYjly5dwsnJCTu70rU6a7GjeeCBB9i+fTvBwcF06tSJ559/nqVLl5rXbhNCiJK09Gpfs671fMr8urB3qlt9X7xddVxKzyX8UAK9Gsnnb0nw8zPNjXgtuSurFEUhOzsbR0fHMpuc2pJaraZatWqlru6Kndht3rwZf39/HnjgATp37kynTp2oXLmyJWMTQog7kqO/YdBE6/I7aOK/tBo1A1sGMnvDCX7YflYSuxKiUqnw9/fHx8cHvV5v63CKTa/Xs2nTJjp27Gi+xSzunL29fals6Sx2YpeamsrmzZuJjIzk448/ZtCgQdSuXZtOnTqZEz1vb2+LBDlnzhw++eQT4uPjadKkCV988QWtW7cusvyPP/7I+PHjOXPmDCEhIXz88cf06tULML2R3333XdasWcOpU6dwd3ena9euTJ06lYCAAIvEK4QoWQUGTYRY5nOnrHiidSBzIk+w5UQypy5lUMPbxdYhVRgajabU9a+6GxqNhvz8fBwcHCSxK0eKnWo6OzvTo0cPpk6dyvbt20lKSmLatGk4OTkxbdo0qlatSsOGDe85wBUrVhAWFsbEiRPZs2cPTZo0ITQ0tMgm8K1btzJo0CCeffZZoqOj6du3L3379uXAgQOAqcPrnj17GD9+PHv27OHnn3/m6NGjPPLII/ccqxDCNq4NmniiVSCacj5o4r+qVnLigTo+wPXb0UKIistibYjOzs54enri6elJpUqVsLOz4/Dhw/d83unTpzNixAiGDx9O/fr1mTdvHk5OTixcuLDQ8rNmzaJHjx68/vrr1KtXj8mTJ9O8eXNmz54NgLu7O+Hh4QwYMIA6derQtm1bZs+eze7du4mNlQ9FIcqa4wnp7DxzddBEOV1p4naGXF2JYtWe8+ToDTaORghhS8W+FWs0Gtm1axeRkZFs2LCBLVu2kJmZSZUqVejSpQtz5syhS5cu9xRcXl4eu3fvZty4ceZtarWarl27EhUVVegxUVFRhIWFFdgWGhrK6tWri7zOlStXUKlUeHh4FLo/NzeX3Nxc8/O0tDTAdFu3LPevKI2u1afUq+WV17r9ftsZAB6o442no8Ymr8/Wdds+uBIB7g5cvJLD7zHn6du0/HQrsXXdlmdSt9ZjyzotdmLn4eFBZmYmfn5+dOnShRkzZtC5c2dq1qxpseCSkpIwGAz4+voW2O7r61vkHHnx8fGFlo+Pjy+0fE5ODm+++SaDBg3Czc2t0DJTpkxh0qRJN23fsGHDHa2ZK+5eeHi4rUMot8pT3eYZ4MfdGkBFDSWONWsu2jQeW9ZtUzcVF69omLt+P/YXY2wWh7WUp/dtaSN1a3m2nOew2IndJ598QpcuXahdu7Yl4ylRer2eAQMGoCgKc+fOLbLcuHHjCrQCpqWlERgYSJcuXWQksIXp9XrCw8Pp1q2bdOa1sPJYt7/GXCRrxwEC3B14ZVAHm/WvKw112zwth3WfbeZUOtRu2ZFaPuVjEEVpqNvySurWepKTk2127WInds8//7wl4yiUl5cXGo3mpnVnExISzPMI/Zefn98dlb+W1J09e5Z//vmnyNY6AJ1Oh06nu2m7VquVXwYrkbq1nvJUtyt3m1ronmhdDQedvY2jsW3dBlbW8kBdH8IPJbAqOo7xD9e3SRzWUp7et6WN1K3l2bI+izV44m4HGVy4cKE4l8He3p4WLVoQERFh3mY0GomIiKBdu3aFHtOuXbsC5cHUzHxj+WtJ3fHjx/n777+l1U2IMuhEYjo7zqSgVlFhVpq4ncFX5/D7SQZRCFFhFSuxa9WqFc8//zw7d+4sssyVK1dYsGABDRs25Keffip2gGFhYSxYsIAlS5Zw+PBhXnzxRTIzMxk+fDgAQ4cOLTC4YsyYMaxdu5bPPvuMI0eO8N5777Fr1y5GjRoFmJK6xx9/nF27dvHDDz9gMBiIj48nPj7evO6bEKL0W3Z1fdQH6vri514xVpq4nY61vQlwdyA1S8+6g4X3KxZClG/FuhV76NAhPvzwQ7p164aDgwMtWrQgICAABwcHLl++zKFDhzh48CDNmzdn2rRp5smBi2PgwIFcunSJCRMmEB8fT9OmTVm7dq15gERsbGyBmZ/bt2/P0qVLeffdd3n77bcJCQlh9erV5jn1Lly4wG+//QZA06ZNC1xrw4YNdO7cudixCiFKRo7ewE9XV5oY0qbirDRxO9emfJn593GW7YilT9Mqtg5JCFHCipXYVa5cmenTp/Phhx/y559/8u+//3L27Fmys7Px8vJiyJAhhIaGWmSCYoBRo0aZW9z+KzIy8qZt/fv3p3///oWWDwoKQlEUi8QlhLCNtQfiSc3SE+DuQMfaFWulidsZ0DKQzyOOs+1UiqxEIUQFVOzBEwCOjo48/vjjPP7445aKRwghbmvp1ZUmBraqVuFWmridAA9HutTxIeJIIst3nuPtXvVsHZIQogSVvtVrhRDiFk4kZrDj9NVBE62q2jqcUmnQ1UEUq3afJzdfBlEIUZFIYieEKFOWX22te6CuD/7ujjaOpnTqXMcbXzcdKZl5hB9KuP0BQohyQxI7IUSZceOgiWutUuJmdho1A69OAbNsh6yBLURFIomdEKLMWHcwnstZevzdHehcx8fW4ZRqA1oFolLBlhPJnEnKtHU4QogSIomdEKLMWLr92qCJQBk0cRtVKznR6eqI4eU7z9k4GiFESbmnUbHXREREEBERQWJiIkajscC+hQsXWuISQogK7uSlDLaflpUm7sYTraoRefQSq3afI6xbbezt5Lu8EOXdPf+WT5o0ie7duxMREUFSUhKXL18u8BBCCEu4NmiiSx0fAjxKyaCJG77IqpR8SI+DzGQw5NswqOserOeDt6uOpIw8Ig7LIAohKoJ7brGbN28eixcv5qmnnrJEPEIIcZPcfAOrdttg0ITRAEnHIG4vJJ+AlNNw+TSkxUH2Zej0BnQIA8AlJwHt542uH6tzA8dK4FENKgVBnZ5Q96GSix3QatQMaFmVORtOsnRHLD0b+Zfo9YUQJe+eE7u8vDzat29viViEEKJQ6w4mcDlLj5+bA53rWHGlifw80GeaEjKAc9thUc+iy2cXvCuhqO1QGa+21uWmmR6pZ+HMZnDxuZ7YZSbDb6Mg6H6o+QB41wWVdfoMPtGqGnM2nGTz8STOpWQR6OlklesIIUqHe07snnvuOZYuXcr48eMtEY8QQtxk6fazgGnQhJ3Gwv3EslPh6Bo49Cuc3gwth0Poh6Z9/k1A5w6+DcC7DngGQ6VgcK8KTp7gfD3JTHesQv64eLRqFeRcMSV9WUlw+ayplS/o/uvXvBhtuubRNabnrv5Qqys0eBSCO4JGa7GXF+jpRIcQLzYfT2L5zlheD61rsXMLIUqfe07scnJymD9/Pn///TeNGzdGqy34gTR9+vR7vYQQogI7dSmDbaeurTRhoUET+blw+HfY/yOciACj/vq+izHXf7Z3hjfPgPoukkmNHThXNj2oBdXa3lzGuw50mwynIuHsFlPfvOjvTA9HT+g3H0K6Fe+1FWJQ62psPp7Ej7vOM7ZrbbSWTo6FEKXGPSd2+/bto2nTpgAcOHCgwD6VlW4tCCEqjmtTdXSu40MVSwyaMBrhy3aQcvL6Np/6ptay2j3At2HB8neT1N0pj0C4b7Tpoc+B2K1w+A9Tq2FWElSueb1symlwcDe1EBZT13q+eLnYk5ieyz9HEglt4GeBFyGEKI3uObHbsGGDJeIQQoibWGTQhKLAhd1QpYWpH5tabbrteTgbmg2Bho+Djw1vT2odTP3saj4APaeZbtN61ri+f907cGoDNHsK2r1kGohxl+zt1DzeIpB5G0+ybEesJHZClGPSHi+EKLXWHUwgJTMPXzcdXe520ITRCId+gwVd4OsH4ezW6/seeBfG7jf9a8uk7r80dhDY6vpzgx6unAN9Fuz4Cj5vBj8+DfEHijxFUZ64eht747FLnL+cZaGAhRClTbFa7MLCwpg8eTLOzs6EhYXdsqz0sRNCFNcP264Ommh5F4MmFAWOrYUNH0L8ftM2OwdIOgpB95meO7hZIVor0Gjh+U2mvnhbv4CTEXDwF9OjwaPQeZypv94dCPJy5r5aldlyIpmVu84T1q22dWMXQthEsRK76Oho9Hq9+eeiSB87IURxnUhMN6808cSd3oY9GwXr3zHdegWwd4W2L0CbF8DZy3rBWpNKBTW7mB7xB2Dzp9eTuyot7zixA9PUJ1tOJLNy5zlGP1DL8iOMhRA2V6zE7sZ+ddLHTghhDd9vM6008WA93ztbacKgh59HmG5dap2gzfPQfvQ9DToodfwaQv/F0OE12DYXWj17fV/ySXALAG3RddW9gS+ezvbEp+UQefQSXev7Wj9mIUSJkq9rQohSJysvn5/2mAZNPNm2etEF8zJNq0OA6bZlt/ehxdMwZi90fa98JXU38msIfedcT+IM+bB8CMxuBQd+Mt2OLoTOTsPjLaoCsOzqEm1CiPJFEjshRKnzx9440nPyqebpRIdahdxCVRQ4uBq+aAHR31/f3rAf9J5lWuWhIkk9C3kZptbKVc+YVstIPFxo0WuDKDYcTSTuSnZJRimEKAGS2AkhSp3vr640MbhNNdTq//TVvXIBlg+GH4ddn9i3iBaqCqNyTRi1E7q8Y7oNHRsF8zrAhimmyZhvUMPbhTbBnhgVWLnzvI0CFkJYiyR2QohSZd/5VPadv4K9Rk3/q7cNAdP0JTu/hjltTEtxqe2g4xsw7A+rrbNapmgdodMbpgSvdg/Tahobp8JXHSE9oUDRwW1Mg1FW7IzFYKzgSbEQ5YwkdkKIUuWHq4Mmejbyo7KLzrQx6QQs7gV/vgp56abRoM9vggfeMU3wK65zrwqDlsPji0xr2Tp733RrOrSBHx5OWi5eyWHTsUs2ClQIYQ13ndhlZ2dz4cKFm7YfPHjQIgEJISquK9l6ftt7EfjPoImMeIjdBlpn6PExPLsefBvYKMoyQKUy9Td8eQc8Ou96i2ZeJpzfjYNWw2PNTa2hP1y97S2EKB/uKrFbtWoVISEhPPTQQzRu3Jjt27eb9z311FMWD04IUbH8suc82XoDtX1daFnV5fqOoPuhz2x4eZtpXjq1xnZBliVOnqYWvGvCJ8A3XeGfDxjc0h+AiCOJnEuRlSiEKC/uKrH74IMP2L17NzExMSxatIhnn32WpUuXAqBU9M7LQoh7oigKP2w33YZ9O+g4qi+am+Zmu6bZk+BRzPVihWlamNwMUIyw6RNq/tqXAUFZKMr1wSpCiLLvrhI7vV6Pr69pQssWLVqwadMmvvrqK95//31ZZUIIcU92nE7hfGISM3Rf0Xnvq6apO/6dYeuwyg+1Bvp9ZZrg2MED4mKYcullhmj+ZsWOWHL0BltHKISwgLtK7Hx8fNi3b5/5uaenJ+Hh4Rw+fLjAdiGEuFt/b4zkN/vxPKraCCo1dHgVHpK1pi2uwaPwUhTUfACNIZcPtQv5IP8z/tp11NaRCSEs4K4Su++++w4fn4Kjq+zt7Vm2bBkbN260aGBCiApCUUjd8g1hZ14gRH0BvZMPDPsdHpwAdva2jq58cguAJ3+G7h9iUNlxn/ogv20/LF1qhCgH7mqt2KpVqxa577777rvnYIQQFdCBn/AIDwMV7LVvTpOXVoKLt62jKv9UKmg/igzvFrz67UY2xDsQfS6V5tUqmSZ8lu41QpRJMo+dEMKmckIeZg91maYfQFzv7yWpK2HuIe3wbNwTgG+3noGjf8GKJyHnim0DE0IUy1212F0THBxcrMESY8eOZfTo0cW5pBCiPDnyJ4R0B42W3/ZfYlzOO/h5uBBW39/WkVVIw9oFsWr3ecL3x2I4/waajHiYfwgGfi/zBQpRxhQrsVu8eHGxLhYUFFSs44QQ5UR+HqwbZ1oa7L4xKF0nsWjrGQxoGNquOnYauYlgC42qutO8mgd7YlNZXmMqQ86Oh5RT8HVXeOQLaPS4rUMUQtyhYiV2nTp1snQcQojyLuMSrBwKsVsBFdi7sv10Cofj0nDQqhnYKtDWEVZoz95fgz1L9/DZQRceG/0PDr+OhFMb4Kdn4fxO6DZZBrMIUQZY5OuxXq/n3LlzHD16lJSUFEucUghRnlyMhvmdTEmdzg0GLYNOr7N4yxkAHm1WFQ8nSRpsKbSBL1U8HEnJzOOXoznw5E/Q4TXTzu3zYElv0GfbNkghxG0VO7FLT09n7ty5dOrUCTc3N4KCgqhXrx7e3t5Ur16dESNGsHPnTkvGKoQoi/Yuh4U9IO0CVA6B5yKgTk/OpWSx/lA8AMPvC7JtjAI7jdr8//DNv6dRVGp4cDwMWg46d/CpC1pH2wYphLitYiV206dPJygoiEWLFtG1a1dWr15NTEwMx44dIyoqiokTJ5Kfn0/37t3p0aMHx48ft3TcQoiyID0B/giD/BwICYUREeBdGzAlD0YFOoR4UdvX1caBCoABrQJx0dlxIjGDjccumTbW6QnPb4Se064XzM+1TYBCiNsqVh+7nTt3smnTJho0KHy0VOvWrXnmmWeYN28eixYtYvPmzYSEhNxToEKIMsjVF/p+CfH7ocs7oDZ9l7ycmceKnecAGNmxhi0jFDdwc9AysFUg3/x7mm/+PU3nOlcnpPcMvl7IkA9LB0Kl6tDzE+l3J0QpU6zEbtmyZXdUTqfT8cILLxTnEkKIsip+P+hzILCV6XmDvqbHDb7fdpZsvYH6/m7cX8urxEMURXu6fRCLtpxm8/EkjsanU8fvP62psVvhVCSgQOIRGPgduPgUdiohhA3c8+CJ9u3bk5aWZolYhBBl3YGf4OtusHwwXLlQaJEcvYElUWcAeL5TjWLNiSmsJ9DTiR4N/QBYsPnUzQWCO8LglaZ+d+e2wfzOcGFPyQYphCjSPSd227ZtIycn56btaWlpvPnmm/d6eiFEWWA0QPhEWPUM5GeDX8MiO9r/vOcCSRl5VPFwpFcjmZC4NBrRwXR7fHX0BS6kFjIStnZ3GPGPaTBM2gVY1BP2rSzhKIUQhSl2Yvf4448zdepUVCoViYmJN+3PzMzk008/vafgrpkzZw5BQUE4ODjQpk0bduzYccvyP/74I3Xr1sXBwYFGjRqxZs2aAvt//vlnunfvTuXKlVGpVMTExFgkTiEqpOzL8EN/2DLT9Py+MTBkFTh53lTUaFT4+mor0DP3B6OVCYlLpWbVKtG+ZmXyjQoLNhXSagfgVcs0GCYk1DQ45ucR8O/MEo1TCHGzYn+qVqtWjT/++ANFUWjSpAk+Pj5069aN1157je+//54vv/wSf/97/za+YsUKwsLCmDhxInv27KFJkyaEhoYWmkwCbN26lUGDBvHss88SHR1N37596du3LwcOHDCXyczM5P777+fjjz++5/iEqNASD8OCB+BkBNg5wmPfQLf3Qa0ptHj44QROJWXi5mDHEzIhcan2UudaACzfGUtyRhGjYB3cTXMSdngVtM5Q68ESjFAIUZhiDZ4A05QnAPb29mzZsoWLFy8SHR1NTEwMv/zyC0ajkWnTpt3mLHd2nREjRjB8+HAA5s2bx59//snChQt56623bio/a9YsevToweuvvw7A5MmTCQ8PZ/bs2cybNw+Ap556CoAzZ87cc3xCVGhbvzAtPeVeDZ74AfwbF1lUURS+3HACgCfbVsdZV+yPH1EC7qtVmcZV3dl3/gqLtpzhtdA6hRdUa+DBCdBqBLjd8GU+NwN0LiUTrBDC7J4/WTMzM9FqtQD06dPnngO6UV5eHrt372bcuHHmbWq1mq5duxIVFVXoMVFRUYSFhRXYFhoayurVq4sdR25uLrm517+xXhssotfr0ev1xT6vuNm1+pR6tTyr1G23j1CrtRg7vgXOXnCLc286nsTe81dw1KoZ2qZqufo/Lq/v2+c7BPHysr0siTrDM+2r4epwiz8Zjtf//1Xnd6BZ+SSGh2ai1Ol1TzGU17otDaRurceWdVqsxC42NpZq1aoBmJO6W7lw4QJVqlS56+skJSVhMBjw9fUtsN3X15cjR44Uekx8fHyh5ePj4+/6+tdMmTKFSZMm3bR9w4YNODk5Ffu8omjh4eG2DqHcupe6tTNkUz05kpPePcA8mvUB2Hjrfq+KAjMPaAAVbb3y2b4potgxlGbl7X1rVMDXUUNCdj4TvwunaxXljo5rcXoOVbNTsFs1lMN+/Tjm9wio7q0/ZXmr29JE6tbysrKybHbtYiV2rVq1om/fvjz33HO0atWq0DJXrlxh5cqVzJo1i5EjRzJ69Oh7CtSWxo0bV6AVMC0tjcDAQLp06ULlypVtGFn5o9frCQ8Pp1u3bnf0pUHcuXuu2+QT2P34FKrk49SrHYKx/Z3/Tm85mcyZbbvR2an58KlOeLvq7v76pVh5ft/mBVzgzZ8PEpXiyIfDOuBoX3j/yQIM3TD8PR7Nrq+pF/8zddxzMfSeDbq7X2GkPNetrUndWk9ycrLNrl2sxO7QoUN8+OGHdOvWDQcHB1q0aEFAQAAODg5cvnyZQ4cOcfDgQZo3b860adPo1at4TfFeXl5oNBoSEhIKbE9ISMDPz6/QY/z8/O6q/J3Q6XTodDf/IdJqtfLLYCVSt9ZTrLo9tg5+eg5y08A1AE3Nzmju8ByKojAn0jSycnCbagR4lt9+V+XxfduvRTW+2HCK85ezWbH7IiPuZKUQrRYe/gwCmsKfYaiP/ok65ZSpH2blmsWKozzWbWkhdWt5tqzPYrWNV65cmenTpxMXF8fs2bMJCQkhKSnJvCbskCFD2L17N1FRUcVO6sA0MKNFixZERFy/bWM0GomIiKBdu3aFHtOuXbsC5cHUzFxUeSHELSgKbPrEtIRUbhoEtoWRkVC1xR2fYtupFHaeuYy9nZoXOhXvj7qwHa1GzegHTUtCzt14kszc/Ds/uPlT8PQacPWHS4dhQRdIPmmlSIUQcI+DJxwdHXn88cd5/PHHLRXPTcLCwhg2bBgtW7akdevWzJw5k8zMTPMo2aFDh1KlShWmTJkCwJgxY+jUqROfffYZDz30EMuXL2fXrl3Mnz/ffM6UlBRiY2O5ePEiAEePHgVMrX330rInRLmSmw6/vABH/jA9b/kM9Pj4rtcG/TzC9IXviVaB+Lo5WDpKUQL6NavC3MiTnE7KZPHWM7zcpdadHxzYyvRlYMVT4OoHnrI2sBDWdM+zgx46dAij0WiJWAo1cOBAPv30UyZMmEDTpk2JiYlh7dq15gESsbGxxMXFmcu3b9+epUuXMn/+fJo0acKqVatYvXo1DRs2NJf57bffaNasGQ899BAATzzxBM2aNTNPhyKEAC4dNd2C1dhD78/h4Rl3ndRtOZFE1KlktBqVtNaVYXYaNWO7mlrt5m86RVrOXY74c/WDp/+AR+ddH3STlwV5mRaOVAhxz9OdNGzYEAcHB+rXr0+TJk0KPDw8PCwQIowaNYpRo0YVui8yMvKmbf3796d///5Fnu/pp5/m6aeftkhsQpRbVVtCn9ngWdPU6nKXFEXh47Wm0etD2lQnwKPwJcZE2fBw4wBm/3OC44kZfLP5NK90q313J7DTAVf7KisK/PoyJB0z9burFGTpcIWosO65xW7jxo24ublRpUoV0tPTWbBggXm0aJ06dRg/fjypqakWCFUIYVVGo6k/XcLB69uaPFGspA5gzf549p2/grO9hlEP3MWtO1EqadQqczK38N/TXM7MK/7J0i7AmX8h4QDM7wynIi0SoxDCAondmDFjmDt3Lr/++isrV65k//79hIeHExwczJNPPsmmTZto1qwZly5dskS8QghryLkCK4bAPx/A8sGm22T3QG8w8ul6U9/VER1r4OVSvqY3qah6NPCjvr8b6bn5zNt4D4Mg3Kua+t0FNDetNfzdo7B1tqklTwhxT+45sTty5AgNGjQosO3BBx9kxowZ7N27l8jISFq2bMnbb799r5cSQljDpWOw4EE4ugY0Ouj4Btjf28TbK3ae43RSJpWd7Xmug3SWLy/UahWv9zAtLbZoyxnOpdzDFwD3KjD8L2gyGBQjrH8HVj1jWopMCFFs95zYtWjRgh9++OGm7Q0bNmT9+vWoVCpef/11/v7773u9lBDC0g79CgsegOTj4FYFnlkLzYbc0ymz8vKZdXUk7P8eqIWLrAlbrnSu7U2HEC/yDEam/lX4CkB3TOsAfb+EntNAbQcHf4blgywTqBAV1D0ndp9++inTp0/nqaeeMi/zlZeXx4wZM/D09ATA29v7pkmDhRA2ZNDDX2/ByqGQlw7V74eRG6FK83s+9debT3MpPZdAT0cGt6lugWBFaaJSqXjnoXqoVfDn/jh2nUm51xNCm+dN8925V4NOb1kmUCEqqHtO7Nq0aUNUVBQXL16kfv36ODo64uzszIIFC5g6dSoA0dHRBAQE3HOwQggLUanh0tXWlvvGwNBfwcX7nk97ITWbLyNPAPB6aF3s7e75I0aUQnX93BjYKhCAyX8exmi0QN+4am3gf7sh6L7r2y7sAcM9DNIQogKyyD2Shg0bEhERwdmzZ4mJicHOzo4WLVqYJ/v19vY2J3lCCBu61jldrYHHvoYLu6F2qMVO/+Gfh8jRG2kd7Envxv4WO68ofV7pVpvfYi6y91wqv++7SJ+mVe79pDfOk5h4BBY/jManHg4eT977uYWoICza+aV69epUr37zrZcOHTpY8jJCiLtlNKCOnELj89GAaWJunL0smtRtOZHEmv3xqFUw6ZEGqK5NRCvKJR9XB17qUotP1h3l47+O0LWeL86W7E+ZEQ8aO9QXdtE54SiqE35Qr6flzi9EOVWs38Lg4OBifWiPHTuW0aNHF+eSQojiSo+Hn0egOb2JYCD/wi4IsuzayXqDkfd+M81/91Tb6tTzd7Po+UXp9Oz9wSzdHsuF1GxmRRzn7V71LHfyGp1h5EaUFU+hS9gPK56AdqPgwYl3vQKKEBVJsRK7xYsXF+tiQUFBxTpOCFFMR9fCry9BVjKK1pndAU/RpEpLi19mydYzHE/MwNPZnrBudSx+flE6OWg1fNC3IcMX7+Sbf0/Tt2kV6gdYMKn3DCb/6b84t3A4NS6FQ9Rs08TGjy+EyrJEnRCFKVZi16lTJ0vHIYSwJH02rB8POxeYnvs2Ir/vfC7sOE4TC18q7ko2s/42TW/yRmgd3J20Fr6CKM261PWhVyM/1uyP5+1f9vPTi+3RqC14G97Ogf1Vn6Jap6ew+3MMxMXAvhXQReZGFaIwMmRNiPJo6YDrSV3bl2FEBHiFWPwyiqIw7uf9pOfm06yaBwNaBlr8GqL0m9i7AS46O2LOpbJ0+1mrXEOp0wte2AJtXoSOr1vlGkKUB5LYCVEetfsfuPjCkz9Bj4+uLsBueT/tuUDk0UvY26n55PHGqC3ZUiPKDF83B964uiLFtLVHSUjLsc6F3KtAz6mgudoqnJ8HPw6H87uscz0hyiBJ7IQoD9IT4MyW689rd4fR0VCrq9UumZCWw/u/mwZMjO0aQi0fV6tdS5R+Q9pUp0mgB+m5+Yz7eT9KSaz7+u8M02oV33SDiMmmRE+ICk4SOyHKMkWB/avgyzampZhSz13fZ+9sxcsqvPPLAdJy8mlUxZ2Rsh5shadRq5j2WGPs7dT8cySRH7bHWv+ibUZCowGmtWY3fwpfPwAJh6x/XSFKMUnshCirMi6ZlgT76VnIvgwe1UyDJkrAL9EX+PtwAlqNik/6N8ZOIx8lAur4ufJGqOmW7Ad/HuLkpQzrXtCxEjy2APovBkdPiN8P8zvBlllgNFj32kKUUvJpLERZdHC1qZXu8G+mxdM7j4MRG8C7ttUvfepSBuNXHwDgfw+EUNdP5qwT1z1zXzD31apMjt7IKyti0BuM1r9og0fhpW1Qu4dpCbLwCaZR4UJUQJLYCVGWGI3w49Pw4zDISgafBjDiH+j81vUO5VaUozfw8tJoMvMMtK3hyctdaln9mqJsUatVfNq/CW4Oduw7f4XPI46XzIVdfWHQcnjkC9PAodYjSua6QpQyktgJUZao1eDqDyoNdHgNRkaCv6Vnpiva5D8OcTgujcrO9sx6opll5ysT5Ya/uyMf9WsEwOwNJ4g8mlgyF1apoPlQGLsfPIOvb988HWK3l0wMQtiYJHZClHYJByHpxPXnXd6B5zfCg+NLdGmlP/Zd5IftsahUMGNgU3zdHErs2qLsebhxAINaV0NRYPSyaM4mZ5bcxW+c3ufsVoiYBAtD4c9XTf1RhSjHJLETorTKSYP178JXHeG3UabbsAA6F/BrVKKhHI5L481V+wB4qXNNOtb2LtHri7LpvUfq06yaB2k5+Tz/3W6y8vJLPgjvutB0CKDAzq/hixaw59vrv09ClDOS2AlR2hiNEP2D6Q/Q1i/AmA/OXqAvwRaPGySm5/Ds4p1k5hloV6Myr3S1/gANUT7o7DTMe7IFXi46jsSn88aqfSUzv92NnDyh75cw7A/wrmfqm/rb/+CbrnBhT8nGIkQJkMROiNLk/C7TH5xfX4LMRPCsCYNXwsDvQVfyEwBn5xkYsWQXF6/kUMPbmXlPtpCpTcRd8XVzYO6TzbFTq/hjXxyzSmowxX8Fd4AXNkP3D8HeFS7shmVPQH6ubeIRwkrkE1qI0uL0Zvj6QdMfHHtX6Pb+1SkcQm0SjtGoELYyhr3nr1DJScvCYa1wd7L+yFtR/rQK8mRSnwYAzPz7ON9vs856srel0UL7UfC/XdB4IDw48Xp/PKMR8mzTKi6EJdnZOgAhKjSj0TTSFaBaO9OtoirNTX9wXH1tFpaiKLz3+0H+OhCPvUbNV0+1JMjLeitZiPJvSJvqJKTl8nnEccb/egBPZ3t6NfK3TTCuftBvfsFtB36C9e9Al7eh6ZOgkT+PomySFjshbCE3HSKnwtz2oL+6YLrGDkZEmPoD2Tipe/+PQ3wbdRaVCj7p35jWwZ42i0eUH690DWFIG9NI2bHLY9hyIsnWIV0X/R1kJMDvY0y/lwd+lgEWokySxE6IkpSbblq4fFZTiJwClw6bWgquseL6rndCURQ+WnOYRVvOAPBxv8b0aVrFpjGJ8kOlUvF+n4b0auRHnsHIs0t2sunYJVuHZTJkFfSYalqmLOkorBpuSvAO/iIJnihTJLEToiRkX4bIj2FGQ/j7PchKAs8a8PgiaDLI1tEBpqRu6l9HWLD5NAAfPdqIAa0CbRyVKG80ahUzBjalcx1vcvRGnluyi7UH4mwdlmlOyLYvwpi90Plt0Lmbvnj9+DT8/j9bRyfEHZPETghry0yCmY0h8iPISYXKIfDoV/DyTmjY73ofOxvKzTfwyooYvtp0CoDJfRowuE01G0clyiudnYb5T7XkoUb+5BmMvPTDHlbtPm/rsEwc3KHzmzB2n2kNZp27aaDFNTlXQJ9tu/iEuA3pHSqENaTGgsfVxMjZC6q3h9Rz0PE1qN8H1BrbxneDK1l6nv9+F9tOpaBRq5giLXWiBNjbqfl8UDOcdRpW7jrPaz/uJS41m5e71EJdGpaqc/QwrcHc7uWCUw1tnm7qj9dqhGk9Wmcvm4UoRGEksRPCUgz5cOwv2DYXzm2HMfvA/Wr/tEfnmb75l4LWuRudTspkxLe7OJGYgYvOji+HNJdVJUSJ0ahVTO3XGDcHLV//e5rPwo9x4OIVPhvQFBddKfnzdGNSpyhw8h/TJMcbp8KWmdDwcWj5jGk0u6oUJKSiwitdf2WEKItSTkPEZJjZCFY8CWe3mLbHRl0v41ip1CV1q6Mv8PDnmzmRmIGfmwM/vtBOkjpR4tRqFe8+XJ+PH2uEvUbNuoMJPDpnC6cuZdg6tJupVDBig6lvbEBzyM+BmO/h6wdMS//tW2nrCIWQFjshii3lFPw+Fk5vvL7NqTK0GA6tngM3G83RdRtZefl8sPoQP17t09Q62JPPn2iGn7uDjSMTFdnAVtUI8XXlxe93czwxg4e/+Je3e9VjQPNS9nuksTP1jW3wKJzbAbsWmkbOxu+Di9HQeICp3LWRtKXsC50o/ySxE+JOGfIh7QJUqm567uxtWgIMFdTsAs2HQp1e12eyL4WOpqqYPmcbZ1OyUKlg9AMhjH4wBE1p6NMkKrzm1Srx+6j7+d+yaLafTuHd1Qf4a38c3dxtHVkhVCqo1sb06DEFYpZC7R7X95+OhN/GQOP+psEX3nVsFqqoWCSxE+JWDPmmW6oHf4FDv4KLL7y01bRP52qavd6v0fVkr5RKTM9h8u8H+f2wBsjC103HzIHNaFezsq1DE6IAHzcHlo1oy+KtZ/h47RG2nExmt0ZDjs8Zht9fA51d6Rl4ZObkaVqq7EYHfoYrsbD5M9PDtxHU6w31Hgaf+tIfT1iNJHZC/FfOFTgRAUf/guPrTVOUmCmQcQlcrvZFq/ewLSK8Y5m5+SzeeoZ5G0+SnpOPCoWn2lbn9R51cXWQdV9F6aRWq3jm/mA61/EmbGUMMeeuMHXtMZbtPM+4nnUJbeCHqrQnRr0+gZoPmPrdnQiHhP2mR+RHUCkYRvxjSgiFsDBJ7IQwGgDV9b4w696G6O+v73f0hDo9Tf1qgjuXiTUks/MMfL/tLPM2niQ5Mw+ARlXcCPVM4fmH6qLVSlInSr8a3i4sf641k75dy98JjpxNzuKF7/fQNNCDFzrVpHt939IxNUphtI6mz4yG/SAzGY6ugSN/wMkNpumOHCtdL/vvDHDwgFoPXp8mSYhiKv1/oYSwNEM+JB6C2G2mgQ9nNpuWEwpsbdpfuwfEbjclc3V6QtXWZSKZAziXksX328+yYuc5UrP0AARVdmJs19r0qO/NurV/2ThCIe6ORq2irY/Cm4PuZ+HWWL7adIqYc6m88P1uang7M7JDDR5pGoCTfSn+HXWuDM2fMj1y001zWl5rcczPg02fQt7VUcCVa0H1+0xzX1ZrCx7V5batuCul+DdBCAu6fMbUCnduO1zYc/1D9JrTm64ndnUfNvWFKSOy8vKJOJzI6ugL/HM0EUUxbQ/0dOR/D4TQr1kV7DRq9Hq9bQMV4h446+wI616Hp9oFsWjLab7bdpZTlzJ56+f9fPDnYR5q5E//llVpUb1S6b5Nq3MF3/rXnxty4b4xpu4f53dC8gnTY88S0/6Gj8HjC00/Kwros2y+prQo3SSxE+WHIR9Sz5pa4+L2QWAbCOlq2peZDJs+uV5W5wZVWkBwB9PtVf8m1/eV5j8KV13OzGPLySTWHUzg70MJZOsN5n0dQrwY2i6IB+r6yGhXUe54u+p4o0ddXuxck2U7Yvl+WyyxKVms2HWOFbvOUcXDkW71felW35fWwZ5oNaV8uhGdK3R6w/TIuQJntkDsVtMdhYvR4F33etn0OJhe3zTC1r+paeCWd13wqQtuVcrEZ5ewvjKR2M2ZM4dPPvmE+Ph4mjRpwhdffEHr1q2LLP/jjz8yfvx4zpw5Q0hICB9//DG9evUy71cUhYkTJ7JgwQJSU1O57777mDt3LiEhISXxcoSlZKVA1GxIOgZJx03zyhnyru9vMfx6YufXCJoOgaotTQmfd91StazX7VzOzCPmXCq7z15m84kk9p1PNbfMgal1rnfjAPo1r0otHxfbBSpECXF10DKyY02eu78GO86k8OOu86zZH8eF1GwWbz3D4q1ncNHZ0TKoEm2CK9OmhicNA9yxtyvFiZ6DO9TtZXoA5GUV/EyLPwAocOmI6bFv+fV99q7w4ARoM9L0PDcdLp81jdi/cfUMUe6V+sRuxYoVhIWFMW/ePNq0acPMmTMJDQ3l6NGj+Pj43FR+69atDBo0iClTpvDwww+zdOlS+vbty549e2jYsCEA06ZN4/PPP2fJkiUEBwczfvx4QkNDOXToEA4OMkmrTRkNuORcRHV2C2RdgivnTI/Uq//WfBB6fGQqq9aYphG4kZ0DeNUG/8ZQo/MN2+2h75cl9jKKKzffwIXL2RxPzOBofDpHE9I5dDGN00mZN5Wt4+tKx9pePNw4gMZV3Uv37SchrEStVtG2RmXa1qjMB30b8u+JJP4+lEDEkQSSMvKIPHqJyKOXANBqVNT2daVhgDv1/F0J9nYhuLIzAR4O2JXGlj17J8Dp+vPa3eHVYxAXY2rNSzwEl46abt3mpYOD2/Wy53fCd4+afnb0NCV4HtVMffbcqphG7HoEm/bf+C1RlHkqRSnd/6Nt2rShVatWzJ49GwCj0UhgYCD/+9//eOutt24qP3DgQDIzM/njjz/M29q2bUvTpk2ZN28eiqIQEBDAq6++ymuvvQbAlStX8PX1ZfHixTzxxBO3jSktLQ13d3eSkpKoXFnmAStAUSA/FxTj1Q8lwKCH4+GmaUNyrkD21X9zrpjWXKzaCjq9DoA+6wraabcYFVarKzz50/Xn6981fUh5hZgSOreqpXKm99x8A5cz9SRn5pKSmWd+JGfkcf5yFucvZ3PuchYJablFnqOGtzNNAz1oV6MyHUK873qlCL1ez5o1a+jVq5eMirUwqVvrKW7dGowKh+PS2H46hW2nktl5JsU8oOi/tBoVgZWcqF7ZCV83B3xcdfjc8K+HoxY3Ry2uDnal89Zufp7pjoWLz/UpVA79Br+PhuzLhR/Tdx76Bo+zZs0aHqptj93qkaZ5Op29TCN2zQ8P08Trvg1Mx+WkmW4Ja51Mff20TqZJ2eWLZQHJycl4eXlx5coV3Nzcbn+ABZXqFru8vDx2797NuHHjzNvUajVdu3YlKiqq0GOioqIICwsrsC00NJTVq1cDcPr0aeLj4+natat5v7u7O23atCEqKuqOErtrTkR+R6KLM6DA1fQ4vXIjstxqogDa7CQqx226Wvpamet5dJpnAzI9TP0ntLkpeJ2PQAFU5lxbMX+RSq9Un3TPRgBo8q7gF7vGfB4FY4G40t3rkurV3FRWn0GVs6tv+EJ2/foqxUC6W21SfNsBoNZnUvPwPNSKHpUxH5UxH7WSj8qoR6UYuFy5BWdrDDKft+3mp9EYstEYckyP/Gw0hmxUKJyv+jDRrUx92lSGPB7+bVCR9Rifls1298EA5Ocb6KrxRO3gRq6DN1lOAWQ7+pPlFECmoz+ZztXIij5//bV7vXC1Mk0PRbl40/n/+83lv99lCv1mo4DeaESfbyTfqKA3KOQbjOgNRvTGaz8r6A1G8q/+m603kJlnIDsvn8xcA1l5+WTmGcjKNf17pxy1Gmp4O1PHz5U6vq7U8XOlaaAHHk72d3wOISo6jVpFwyruNKzizrP3B6MoCucvZ3Pw4hUOXEjjaEI6Z5IyOZuSRV6+kVNJmZwqpGX8vxy1Gtwc7XBzMCV6DloNDloNOjv11YcGnfb6z/Z2ajRqFWqVCo2aq/+qbtimQnPjtqvP1aobc6XrSdON+ZPKvE0FVIIkPSoSrm5rA49sR6PPwDHrPI4Z53HIPI9j5nl02YnEZnmTeuwShy6rCDl5kvq5aZCbBsnHb3rNR7IrkRhsukNW+Vw4DTa/WGC/otJgsHPEYOfEqWZvcSnoEQBckvcTtG8mRo0WRa1FUWnNPxvVWpKq9eSKj6lblS7zIj5nfkNRqUGlRkFl+lelBlRc8W5BpqcpudTmJFP5QgQKV8uqVMD1spketcnyqG16H+Sl4XlxE0XJcq9BZiXTYBa1PpPKF/4psmy2axAZlU1/h1WGXLzOrSuybILRo8h91laqE7ukpCQMBgO+vr4Ftvv6+nLkyJFCj4mPjy+0fHx8vHn/tW1Flfmv3NxccnOvt6SkpaUBUG/XBNx0Bb+lTNQPY4khFIDWqsOs1E0u8vV9rH+CuQbTL0BD1Sn+0L1bZNlZ+Y8yI78/ADVVF4jQTSyy7IL8XnyYb0pXAkhiq0PRMXyf/yDv5puWwKpEGtEOC4osu+1MKq9uMy2LY4+eYw4Hiix78Gw8/zsRbX7ubV+XHMWeNJy4ojiThjNpihOpuHAq1p8dZ2NuOHo2FPn5mnz1UfZo1CoqOWnxdLLH01lLJSd7PJ3t8Xd3ILCSI1UqOVK1kiOeTtpCb6ve66jWa8fL6FjLk7q1HkvWrZ+rFr86XjxYx8u8zWhUiE/L4UxyFucuZ5OYnktiei6Xrj0y8kjL1pu/nGXrDWTrDbdsXS+dPK4+TF2SOJ4LRAMalhBAFdUn+KhS8SADD1UGHmTirsrAgwy+j8zmwIYdAISqj/Gx1hlHctGp8gFTI4GdPgM7fQbzI4/zi9FU9kH1br6x30hR5h604/ur33nbqQ+yzP7TIst+qB/MAoNpQvgmqhP8qptQZNkZ+seYZXgMgNqqc6zXvVlk2Xn5DzM139SwUFWVyL+6V4osuyS/GxPzhwNQmSvsdggrsuyOzHZF7rO2Up3YlRZTpkxh0qRJN23fRX2cr1ahggoVkKvzpKrKlFTpFGeijNdHW14rc62FKEPnQ+DVsi6KI/8aTa1sN5YxfWuBNHt/qjuYtlZSdGwytixw3hsl21cl6GpZd8WeDcY2N8WuoEJBRZyuBsGOprL2io4fjT3JR4MBjflf0892nNVUoebV86JoeFt5jRx05Kp05GJPrkpHDvbkYk+O1p5ajtdbEt+l6KQVIATjHbXkF1bkTm4AFOfcGhVo1Ff/LeShVoOdCjQqBY0K7DWgU1/9VwM6tYJOA/ZqcNaCowZUKj2QVfBCGabHhXNw4Q5ey70KDw8vgatUTFK31lMSdet69VHTDqh09XGVQYGcfMgxQLYBsvNVZBtAbzQ98o03/qxCr1zfZrx6w8ao3PpnI6beLEZFdcPfgJsV1oHqVuUK3VfgmT25BBCrBBBbRN1UuXrEAVryEKa/PxrFgAO5OJJ79d8cEnSVqXL171qKUp0PeB478tGSjxaD+Wc7xUC8fbC5rEZx4w+lEyoUTO11xqv/KqgxcsXe31zWSXHkX6VZgXI3ls209zKXdVPs2aU0KOJVwRWtL1XsTWU9FTt23qJsitbfXNZV0bBTaVhk2Ut2AUXus7ZS3ccuLy8PJycnVq1aRd++fc3bhw0bRmpqKr/++utNx1SrVo2wsDDGjh1r3jZx4kRWr17N3r17OXXqFDVr1iQ6OpqmTZuay3Tq1ImmTZsya9asm85ZWItdYGAgcXFx0sfOwvR6PeHh4XTr1k36KlmY1K31SN1aj9St9UjdWk9ycjL+/v7Sx+6/7O3tadGiBREREebEzmg0EhERwahRowo9pl27dkRERBRI7MLDw2nXztQsGhwcjJ+fHxEREebELi0tje3bt/Piiy8WckbQ6XTodLqbtmu1WvllsBKpW+uRurUeqVvrkbq1Hqlby7NlfZbqxA4gLCyMYcOG0bJlS1q3bs3MmTPJzMxk+HDTfe6hQ4dSpUoVpkyZAsCYMWPo1KkTn332GQ899BDLly9n165dzJ8/HzB1Mh07diwffPABISEh5ulOAgICCrQKCiGEEEKUNaU+sRs4cCCXLl1iwoQJxMfH07RpU9auXWse/BAbG4v6hukt2rdvz9KlS3n33Xd5++23CQkJYfXq1eY57ADeeOMNMjMzGTlyJKmpqdx///2sXbtW5rATQgghRJlW6hM7gFGjRhV56zUyMvKmbf3796d///5Fnk+lUvH+++/z/vvvWypEIYQQQgibK4UzLQohhBBCiOIoEy12pc21gcTp6enS4dTC9Ho9WVlZpKWlSd1amNSt9UjdWo/UrfVI3VpPeno6cPOE+CVBErtiSE42TZAbHBxs40iEEEIIUVolJyfj7u5eoteUxK4YPD1Na/HFxsaW+H9YeXdtjsBz586V+Nw/5Z3UrfVI3VqP1K31SN1az5UrV6hWrZo5XyhJktgVw7VRuO7u7vLLYCVubm5St1YidWs9UrfWI3VrPVK31nPjrB0lds0Sv6IQQgghhLAKSeyEEEIIIcoJSeyKQafTMXHixEKXGRP3RurWeqRurUfq1nqkbq1H6tZ6bFm3KsUWY3GFEEIIIYTFSYudEEIIIUQ5IYmdEEIIIUQ5IYmdEEIIIUQ5IYndbXz44Ye0b98eJycnPDw8Ci2jUqlueixfvrxAmcjISJo3b45Op6NWrVosXrzY+sGXcndSt7GxsTz00EM4OTnh4+PD66+/Tn5+foEyUre3FxQUdNN7dOrUqQXK7Nu3jw4dOuDg4EBgYCDTpk2zUbRlz5w5cwgKCsLBwYE2bdqwY8cOW4dU5rz33ns3vUfr1q1r3p+Tk8PLL79M5cqVcXFx4bHHHiMhIcGGEZdemzZtonfv3gQEBKBSqVi9enWB/YqiMGHCBPz9/XF0dKRr164cP368QJmUlBSGDBmCm5sbHh4ePPvss2RkZJTgqyidble3Tz/99E3v4x49ehQoY+26lcTuNvLy8ujfvz8vvvjiLcstWrSIuLg486Nv377mfadPn+ahhx6iS5cuxMTEMHbsWJ577jnWrVtn5ehLt9vVrcFg4KGHHiIvL4+tW7eyZMkSFi9ezIQJE8xlpG7v3Pvvv1/gPfq///3PvC8tLY3u3btTvXp1du/ezSeffMJ7773H/PnzbRhx2bBixQrCwsKYOHEie/bsoUmTJoSGhpKYmGjr0MqcBg0aFHiP/vvvv+Z9r7zyCr///js//vgjGzdu5OLFi/Tr18+G0ZZemZmZNGnShDlz5hS6f9q0aXz++efMmzeP7du34+zsTGhoKDk5OeYyQ4YM4eDBg4SHh/PHH3+wadMmRo4cWVIvodS6Xd0C9OjRo8D7eNmyZQX2W71uFXFHFi1apLi7uxe6D1B++eWXIo994403lAYNGhTYNnDgQCU0NNSCEZZdRdXtmjVrFLVarcTHx5u3zZ07V3Fzc1Nyc3MVRZG6vVPVq1dXZsyYUeT+L7/8UqlUqZK5XhVFUd58802lTp06JRBd2da6dWvl5ZdfNj83GAxKQECAMmXKFBtGVfZMnDhRadKkSaH7UlNTFa1Wq/z444/mbYcPH1YAJSoqqoQiLJv++/fJaDQqfn5+yieffGLelpqaquh0OmXZsmWKoijKoUOHFEDZuXOnucxff/2lqFQq5cKFCyUWe2lX2N/+YcOGKX369CnymJKoW2mxs5CXX34ZLy8vWrduzcKFC1FumEUmKiqKrl27FigfGhpKVFRUSYdZpkRFRdGoUSN8fX3N20JDQ0lLS+PgwYPmMlK3d2bq1KlUrlyZZs2a8cknnxS4pR0VFUXHjh2xt7c3bwsNDeXo0aNcvnzZFuGWCXl5eezevbvAe1CtVtO1a1d5DxbD8ePHCQgIoEaNGgwZMoTY2FgAdu/ejV6vL1DPdevWpVq1alLPd+n06dPEx8cXqEt3d3fatGljrsuoqCg8PDxo2bKluUzXrl1Rq9Vs3769xGMuayIjI/Hx8aFOnTq8+OKLJCcnm/eVRN3KWrEW8P777/PAAw/g5OTE+vXreemll8jIyGD06NEAxMfHF0hOAHx9fUlLSyM7OxtHR0dbhF3qFVVv1/bdqozUbUGjR4+mefPmeHp6snXrVsaNG0dcXBzTp08HTPUYHBxc4Jgb67pSpUolHnNZkJSUhMFgKPQ9eOTIERtFVTa1adOGxYsXU6dOHeLi4pg0aRIdOnTgwIEDxMfHY29vf1NfXF9fX/Nngbgz1+qrsPfsjZ+rPj4+Bfbb2dnh6ekp9X0bPXr0oF+/fgQHB3Py5EnefvttevbsSVRUFBqNpkTqtkImdm+99RYff/zxLcscPny4QMfdWxk/frz552bNmpGZmcknn3xiTuwqEkvXrSja3dR1WFiYeVvjxo2xt7fn+eefZ8qUKTLrvCgVevbsaf65cePGtGnThurVq7Ny5Ur5gibKjCeeeML8c6NGjWjcuDE1a9YkMjKSBx98sERiqJCJ3auvvsrTTz99yzI1atQo9vnbtGnD5MmTyc3NRafT4efnd9PorYSEBNzc3MrdB5Yl69bPz++m0YXX6tHPz8/8b0Wp2/+6l7pu06YN+fn5nDlzhjp16hRZj3C9rsXNvLy80Gg0hdad1Nu98fDwoHbt2pw4cYJu3bqRl5dHampqgVY7qee7d62+EhIS8Pf3N29PSEigadOm5jL/HfyTn59PSkqK1PddqlGjBl5eXpw4cYIHH3ywROq2QiZ23t7eeHt7W+38MTExVKpUydwS0q5dO9asWVOgTHh4OO3atbNaDLZiybpt164dH374IYmJieam6/DwcNzc3Khfv765TEWp2/+6l7qOiYlBrVab67Vdu3a888476PV6tFotYKrHOnXqyG3YW7C3t6dFixZERESYR8IbjUYiIiIYNWqUbYMr4zIyMjh58iRPPfUULVq0QKvVEhERwWOPPQbA0aNHiY2NrRC/65YUHByMn58fERER5kQuLS2N7du3m2coaNeuHampqezevZsWLVoA8M8//2A0GmnTpo2tQi+Tzp8/T3JysjmJLpG6tcgQjHLs7NmzSnR0tDJp0iTFxcVFiY6OVqKjo5X09HRFURTlt99+UxYsWKDs379fOX78uPLll18qTk5OyoQJE8znOHXqlOLk5KS8/vrryuHDh5U5c+YoGo1GWbt2ra1eVqlwu7rNz89XGjZsqHTv3l2JiYlR1q5dq3h7eyvjxo0zn0Pq9va2bt2qzJgxQ4mJiVFOnjypfP/994q3t7cydOhQc5nU1FTF19dXeeqpp5QDBw4oy5cvV5ycnJSvvvrKhpGXDcuXL1d0Op2yePFi5dChQ8rIkSMVDw+PAqO5xe29+uqrSmRkpHL69Glly5YtSteuXRUvLy8lMTFRURRFeeGFF5Rq1aop//zzj7Jr1y6lXbt2Srt27WwcdemUnp5u/jwFlOnTpyvR0dHK2bNnFUVRlKlTpyoeHh7Kr7/+quzbt0/p06ePEhwcrGRnZ5vP0aNHD6VZs2bK9u3blX///VcJCQlRBg0aZKuXVGrcqm7T09OV1157TYmKilJOnz6t/P3330rz5s2VkJAQJScnx3wOa9etJHa3MWzYMAW46bFhwwZFUUzDlJs2baq4uLgozs7OSpMmTZR58+YpBoOhwHk2bNigNG3aVLG3t1dq1KihLFq0qORfTClzu7pVFEU5c+aM0rNnT8XR0VHx8vJSXn31VUWv1xc4j9Ttre3evVtp06aN4u7urjg4OCj16tVTPvroowIfNIqiKHv37lXuv/9+RafTKVWqVFGmTp1qo4jLni+++EKpVq2aYm9vr7Ru3VrZtm2brUMqcwYOHKj4+/sr9vb2SpUqVZSBAwcqJ06cMO/Pzs5WXnrpJaVSpUqKk5OT8uijjypxcXE2jLj02rBhQ6GfrcOGDVMUxTTlyfjx4xVfX19Fp9MpDz74oHL06NEC50hOTlYGDRqkuLi4KG5ubsrw4cPNX7orslvVbVZWltK9e3fF29tb0Wq1SvXq1ZURI0bc9CXP2nWrUpQb5uUQQgghhBBllsxjJ4QQQghRTkhiJ4QQQghRTkhiJ4QQQghRTkhiJ4QQQghRTkhiJ4QQQghRTkhiJ4QQQghRTkhiJ4QQQghRTkhiJ4QQQghRTkhiJ4QQQghRTkhiJ4QQQghRTkhiJ4QQQOfOnRk7duw9nyc5ORkfHx/OnDlzz+e65oknnuCzzz6z2PmEEOWXrBUrhKgQXnnlFc6ePcvPP/9c6P6UlBS0Wi2urq73dJ2wsDDS09NZsGDBPZ3nRgcOHKBjx46cPn0ad3d3i51XCFH+SIudEKJC2LFjBy1btixyv6en5z0ndVlZWXzzzTc8++yz93Se/2rYsCE1a9bk+++/t+h5hRDljyR2QohyLS8vD61Wy9atW3nnnXdQqVS0bdv2pnL/vRXbuXNnRo8ezRtvvIGnpyd+fn689957t7zWmjVr0Ol0N52/c+fOjBo1ilGjRuHu7o6Xlxfjx4/nxhsmq1atolGjRjg6OlK5cmW6du1KZmameX/v3r1Zvnx58SpBCFFhSGInhCjX7Ozs2LJlCwAxMTHExcWxdu3aOzp2yZIlODs7s337dqZNm8b7779PeHh4keU3b95MixYtijyXnZ0dO3bsYNasWUyfPp2vv/4agLi4OAYNGsQzzzzD4cOHiYyMpF+/fgUSv9atW7Njxw5yc3Pv9KULISogO1sHIIQQ1qRWq7l48SKVK1emSZMmd3Vs48aNmThxIgAhISHMnj2biIgIunXrVmj5s2fPEhAQUOi+wMBAZsyYgUqlok6dOuzfv58ZM2YwYsQI4uLiyM/Pp1+/flSvXh2ARo0aFTg+ICCAvLw84uPjzWWEEOK/pMVOCFHuRUdH33VSB6bE7kb+/v4kJiYWWT47OxsHB4dC97Vt2xaVSmV+3q5dO44fP47BYKBJkyY8+OCDNGrUiP79+7NgwQIuX75c4HhHR0fA1I9PCCGKIomdEKLci4mJKVZip9VqCzxXqVQYjcYiy3t5ed2UkN0JjUZDeHg4f/31F/Xr1+eLL76gTp06nD592lwmJSUFAG9v77s+vxCi4pDETghR7u3fv5+mTZta/TrNmjXj0KFDhe7bvn17gefbtm0jJCQEjUYDmJLG++67j0mTJhEdHY29vT2//PKLufyBAweoWrUqXl5e1nsBQogyTxI7IUS5ZzQaOXr0KBcvXuTKlStWu05oaCgHDx4stNUuNjaWsLAwjh49yrJly/jiiy8YM2YMYEr6PvroI3bt2kVsbCw///wzly5dol69eubjN2/eTPfu3a0WuxCifJDETghR7n3wwQcsXryYKlWq8MEHH1jtOo0aNaJ58+asXLnypn1Dhw4lOzub1q1b8/LLLzNmzBhGjhwJgJubG5s2baJXr17Url2bd999l88++4yePXsCkJOTw+rVqxkxYoTVYhdClA+y8oQQQljQn3/+yeuvv86BAwdQq03fnTt37kzTpk2ZOXNmsc45d+5cfvnlF9avX2/BSIUQ5ZFMdyKEEBb00EMPcfz4cS5cuEBgYKBFzqnVavniiy8sci4hRPkmiZ0QQljYjStYWMJzzz1n0fMJIcovuRUrhBBCCFFOyOAJIYQQQohyQhI7IYQQQohyQhI7IYQQQohyQhI7IYQQQohyQhI7IYQQQohyQhI7IYQQQohyQhI7IYQQQohyQhI7IYQQQohyQhI7IYQQQohyQhI7IYQQQohyQhI7IYQQQohyQhI7IYQQQohyQhI7IYQQQohyQhI7IYQQQohyQhI7IYQQQohyws7WAZRFRqORixcv4urqikqlsnU4QgghhChFFEUhPT2dgIAA1OqSbUOTxK4YLl68SGBgoK3DEEIIIUQpdu7cOapWrVqi15TErhhcXV0BOH36NJ6enjaOpnzR6/WsX7+e7t27o9VqbR1OuSJ1az1St9YjdWs9UrfWk5KSQnBwsDlfKEmS2BXDtduvrq6uuLm52Tia8kWv1+Pk5ISbm5t80FiY1K31SN1aj9St9UjdWo9erwewSXetMj94YtOmTfTu3ZuAgABUKhWrV6++7TGRkZE0b94cnU5HrVq1WLx4sdXjFEIIIYSwtjKf2GVmZtKkSRPmzJlzR+VPnz7NQw89RJcuXYiJiWHs2LE899xzrFu3zsqRCiGEEEJYV5m/FduzZ0969ux5x+XnzZtHcHAwn332GQD16tXj33//ZcaMGYSGhlorTCGEEEIIqyvzid3dioqKomvXrgW2hYaGMnbsWNsEJIQoc9LTr5B0ej9p8afISbmASp/JhRRnFkc1wNXBnqoejgSp4vCuXhedvb2twxVCVCAVLrGLj4/H19e3wDZfX1/S0tLIzs7G0dHxpmNyc3PJzc01P09LSwNMnSOvdZAUlnGtPqVeLU/qtvjiruRwYH8Mbvu+xi81mhrGWFxVSoEy2/L7Mm3NUQACSGKrw2iyFXv2a2tz2bsV9vV6UafZ/bg4SCf1uyHvW+uRurUeW9ZphUvsimPKlClMmjTppu0bNmzAycnJBhGVf+Hh4bYOodySur0zOQbYn2Qg6pI9J9NVBKniiNStNu1UQYriykWVL2maSuSoHEjX1aS5nZFsAwTmJJGt2OOoyqNR/gGIOwBxizgX4c2fui6k+HUi0NMVtcxvfsfkfWs9UreWl5WVZbNrV7jEzs/Pj4SEhALbEhIScHNzK7S1DmDcuHGEhYWZn6elpREYGEiXLl2oXLmyVeOtaPR6PeHh4XTr1k2G31uY1O2dOZ+SxeY/v6P+2W9xNHryvf5/qFTgVqUOm+yfxSOoCVUbdsTVqwp1rk5loNfrSQ8P55VuD16t2x4ohpe4eO4Icfs2oD0bSa207QSqLvFk3kreOunGsoReDG1bjcGtq+JkX+E+iu+YvG+tR+rWepKTk2127Qr3adKuXTvWrFlTYFt4eDjt2rUr8hidTodOp7tpu1arlV8GK5G6tR6p28KdS8ni9z9+oc2JmQxVHwMV5GjseadTFR5uVQd/d0egwy3PUaButVoCQpoRENIMCEPJyyJ28w/oo5cRmdGJ+Cs5fLzuGP9u/ocebRvTr1MrnHUV7iP5jsn71nqkbi3PlvVZ5j9FMjIyOHHihPn56dOniYmJwdPTk2rVqjFu3DguXLjAt99+C8ALL7zA7NmzeeONN3jmmWf4559/WLlyJX/++aetXoIQwoay8vJZtGYLNfd8wEvqHaCGXJWOpAbPENB9NCPcAixyHZW9E9UeHAEPjiBSb+C3mIvM/ecokzJnUmVLEt9F9cH/4Xd4uHmQrEEthCi2Mp/Y7dq1iy5dupifX7tlOmzYMBYvXkxcXByxsbHm/cHBwfz555+88sorzJo1i6pVq/L111/LVCdCVEDrD8bz668rmZL7EW7qbIyoSa7dH++HJ1HFzd9q13XQahjQKpBHQzRcWeKL4+WLjFR+5Miv23hn25s80/9Ravm4WO36Qojyq8wndp07d0ZRlCL3F7aqROfOnYmOjrZiVEKI0iw1K49xP+/nrwPxuONLnoMDVzxr4z5wHt6+9UssDq1HAF6jN6Df/zP631+lrv4c7yeOZu4X/6Dt8gYjO9dFLSMshBB3ocyvPCGEEHdj26lkRsxcyV8H4rFTqxjSuQkuL6zHfdQGKMGkzkylQtv4MZzG7iIr5BHsVEb+p/mZ5pHDeP7rv0lIyyn5mIQQZZYkdkKICsFgVPhs3RHWLXyPZbn/4wX37ax++T7e6FEXB7/aoNbYNkBnL5yGfIfy+CLy7FzQq3REnMqhx8xNRBxOuP3xQghBObgVK4QQt5OWoyfsh+30OjOFfnb/AvBqnSS0VdxtHNnNVA37Ye/XmIBse+r9cpaDF9N4dslOXg+ty0uda8rACiHELUmLnRCiXDuTlMmTs9fz3NnX6Kf5F6NKA6FT0D46x9ahFc2rFsGB1fj5pfYMa1uNiXbfkh/xAWOWRZOjN9g6OiFEKSYtdkKIcmvrySTGfxfBF8YPqa8+i0HrgmbQD1Cjs61DuyM6Ow2TmmVAzDoAlh66wqB5Y/lqWBt83BxsHJ0QojSSFjshRLm09kAcLy/cxELju6akzskbzTNrykxSZ1a9HTw8A0WlZrDdP4xMnMzguRuJTbbdkkVCiNJLEjshRLmzYmcsL/2wh8sGHXu9HsLoEYTmufXg38TWoRVPy2dQ9V+Coranp2Yn72R8yBNzN3IkPs3WkQkhShlJ7IQQ5cpXG0/y5k/7MSowsGUgD708HfULm8Czhq1Duzf1H0H11E8odo500exlcu7HDJm3id1nU2wdmRCiFJHETghRbsz+5zjfrd3MDO0cRt3vx9THGqHRqMGh9I1+LZbgjqiGrLya3MVQN+8AT32zg11nJLkTQpjI4AkhRLkwb+NJvlu/jVX2HxCovgT534Cqha3DsrzgjqgGLSPvShyqPTXJOpHEsIU7+O65NjSvVsnW0QkhbExa7IQQZd7Xm0/x5V+7WWL/sSmp86wJD4y3dVjWU7MLuuaDWTC0Je1qVEbJy2TYN9vZey7V1pEJIWxMEjshRJn2bdQZPvlzLwvsP6Ou+hy4+MHQ1eDmb+vQrM7RXsPCfv6sc3mPp/N/5KlvtnPw4hVbhyWEsCFJ7IQQZdZvey8y6bf9zNB+SRv1ERSdGzz5E3hUs3VoJcYxdiOB+bG8ql1FT304wxbu5Gxypq3DEkLYiCR2QogyafPxS7y6MoY3NMvopdmBorFH9cRS8Gto69BKVvOh0OFVAD7SfkPDrG0MXbiDS+m5Ng5MCGELktgJIcqcvedSef673egNCqk1eqO4VUH16FcQ3MHWodnGA+Oh6RA0GJljPxv7lGM8vWgH6Tl6W0cmhChhktgJIcqUs8mZDF+8k6w8A/fX8mLs0AGoRu2Chv1sHZrtqFTw8Eyofj/OZLNI9ykXL57n+e92k5dvtHV0QogSJImdEKLMSMvR8+ySXbhmxfKobzzznmqBzk4D9k62Ds327OxhwLdQKYiqJPKhbglbTyYzfvUBFEWxdXRCiBIiiZ0QokzINxh5+Yc9xCcmskT3GdMz3sYlNtLWYZUuzpVh0AoI7oR7n2moVbBi1zm+2nTK1pEJIUqIJHZCiDJh8h+H2Hz8EtN18wniAirnyuDXyNZhlT4+dWHYb9zXvDETezcAYOpfR1h7IM7GgQkhSoIkdkKIUu+7qDMsiTrLs5o1dFftALUWBnwHrr62Dq1UG9Y+iI/rnaaR6hRjV8Sw/7zMcSdEeVduErs5c+YQFBSEg4MDbdq0YceOHbcsP3PmTOrUqYOjoyOBgYG88sor5OTklFC0Qog7tfn4Jd77/RCtVEd4R7vctLHHFKhaDpcLs7S9yxl4+h0WOX2Ooz6V57/bRXKGTIMiRHlWLhK7FStWEBYWxsSJE9mzZw9NmjQhNDSUxMTEQssvXbqUt956i4kTJ3L48GG++eYbVqxYwdtvv13CkQshbuXkpQxe+mEPnsbLfO08BzUGaNQfWj1n69DKhto9wLMGXoZE5jvPI/5KFi8v3UO+QUbKClFelYvEbvr06YwYMYLhw4dTv3595s2bh5OTEwsXLiy0/NatW7nvvvsYPHgwQUFBdO/enUGDBt22lU8IUXIyc/N5/rvdpOfk81bljbjnJ4N3Xeg9yzS9h7g9Rw8Y+D3YOdLKEEOY/a9sO5XClL+O2DoyIYSVlPnELi8vj927d9O1a1fzNrVaTdeuXYmKiir0mPbt27N7925zInfq1CnWrFlDr169SiRmIcStKYrCmz/t40RiBj6uOjqMnAEPvGvqV2fvbOvwyhbfBtB7JgAvq3+ileoI3/x7mtXRF2wblxDCKuxsHcC9SkpKwmAw4OtbsBO1r68vR44U/q108ODBJCUlcf/996MoCvn5+bzwwgtF3orNzc0lN/d6v5S0tDQA9Ho9er3M7G5J1+pT6tXyylLdLtp6lj/2xWGnVvH5wMZUcrJH326saWcpjL/U1239x9Cc+Af1/hV84zqPjmmTeevnfQR5OtAgwM3W0d1Sqa/bMkzq1npsWadlPrErjsjISD766CO+/PJL2rRpw4kTJxgzZgyTJ09m/PjxN5WfMmUKkyZNumn7hg0bcHKSiVGtITw83NYhlFulvW5PpsHsQxq8SeXjSn9yaX8maw7a2zqsO1Ka61ajepDOukjcchN4xmU70zO68szCKF5tZMBFa+vobq80121ZJ3VreVlZWTa7tkop41OS5+Xl4eTkxKpVq+jbt695+7Bhw0hNTeXXX3+96ZgOHTrQtm1bPvnkE/O277//npEjR5KRkYFaXfAOdWEtdoGBgcTFxVG5cmXLv6gKTK/XEx4eTrdu3dBqy8BfmzKkLNRtYnoufb+MIikjhzWeM6mXtQtj/b4YHv3a1qHdUlmoWwDi96FKPUtq9R70m7eN2JRsOtSqzNdPNUetLp39FstM3ZZBUrfWk5ycjL+/P1euXMHNrWRbxct8i529vT0tWrQgIiLCnNgZjUYiIiIYNWpUocdkZWXdlLxpNBqAQpfe0el06HS6m7ZrtVr5ZbASqVvrKa11qzcYeWXlfi5l5DHO4x/qZe0COwfUncehLoXxFqa01q1ZYAsIbIEXMH9oS/rO2cLmE8l8vTWWl7vUsnV0t1Tq67YMk7q1PFvWZ5kfPAEQFhbGggULWLJkCYcPH+bFF18kMzOT4cOHAzB06FDGjRtnLt+7d2/mzp3L8uXLOX36NOHh4YwfP57evXubEzwhRMn6ZN1RdpxJoaXuHCPzvjNtDP3ItJKCsLi6TpmsCVqJEzl8tv4oO06n2DokIYQFlPkWO4CBAwdy6dIlJkyYQHx8PE2bNmXt2rXmARWxsbEFWujeffddVCoV7777LhcuXMDb25vevXvz4Ycf2uolCFGhbTiayPxNp3Agl8VuX6FK10Odh6DlM7YOrXxSFFg6gBrx+1jkl8PA+Cf537I9rBndgcouN9+dEEKUHeUisQMYNWpUkbdeIyMjCzy3s7Nj4sSJTJw4sQQiE0LcSkJaDq+u3AvA91V/xSXpFLj6wyNfyHx11qJSmVpDl/SmTeoahlZqyreXG/LKyr0sfrpVqe1vJ4S4vXJxK1YIUTYZjAqvrIghJTOP9r4GWmREAip4dB44y8AkqwruAO1NX4YnKF8RoE1n07FLzN140saBCSHuhSR2QgibmRt5gq0nk3Gy1zD5yQdQvbjFtLJEjc62Dq1i6PIu+NTHLieZHwNWAIr0txOijJPETghhEzvPpDDj7+MATO7TkJreLuBeFVoMs3FkFYjWAfrNB7WWKgn/MKXGPowKjF4WzeXMPFtHJ4QoBknshBAlLjUrjzHLojEYFd6reZzHXA/aOqSKy68RPPAOAAOMa6np5Uh8Wg7jft5f6PRPQojSTRI7IUSJUhSFN1bt4+KVHFp7ZjEs6VNYOgCOrbN1aBVX+9HQ/QM0z/zFrEEt0GpUrD0Yz/Kd52wdmRDiLkliJ4QoUd9tO8v6QwnYaxQWVlqMKjcdqraCmg/aOrSKS62B9v8De2caVnHn9dA6ALz/+yFOJGbYODghxN2QxE4IUWIOXUzjgz8PA7Ck4X5cLvwLdo7Qdx5oys3sS2Wb0chz2nUMqJ5Jtt7AmOXR5OYbbB2VEOIOSWInhCgROVeThLx8I4Nq5tH25CzTjm6TwKt0L2dVofzzPup14/hQ9SVejmoOXkzjs/XHbB2VEOIOSWInhCgRU/86wvHEDHxd7HhfmYMqPxuCO0KrEbYOTdyo9UjQuaONj2Zpo90AzN90is3HL9k4MCHEnZDETghhdZuOXWLx1jMALGifivbiTrB3hT5zQC0fQ6WKWwD0+AiA2gc/55WmRgBeXbmX5IxcW0YmhLgD8okqhLCqy5l5vPajacmwoe2q0/iBgTDwB3h4OnhUs3F0olBNh0CtrmDI5X9pM6jt7Uhiei5v/rRPpkARopSTxE4IYTWKovD2L/tJTM+lprcz43rWM+2o9zA0HmDb4ETRVCro/Tno3FBf3M139Xdhr1Hz9+FEvt8ea+vohBC3IImdEMJqftpzgb8OxGOnVvH1/ek45ibZOiRxp9yrQKjplqxv9CzGdw0A4IM/DnEiMd2WkQkhbkESOyGEVZxLyeK930wrSozv4EZwxIswpzVcOmrjyMQda/YktHkRhq9hSKfGdAjxIjffyNgVMeTlG20dnRCiEJLYCSEszmBUeGVFDBm5+bSq7sHQ5JmQlw5etaGyTG1SZqhU0HMq+DdBrVbxaf8mVHLScuBCGjP/lilQhCiNrJ7YaTQaa19CCFHKzNt4kl1nL+Ois2Ne4+OoToSDxh76zDatciDKJN+s48zq5grA3I0n2X4q2cYRCSH+y+qJnYygEqJi2X/+CjPCTa05U7r7UHnzRNOOzm+Bdx0bRibuyf5VML8zHQ9NZGALfxQFwlbuJS1Hb+vIhBA3sHpip1KprH0JIUQpkZ1nYMyKaPKNCr0a+vLwuU8hJxX8m5gWmhdlV2AbsHOAc9t53z+Kap5OXEjNZuKvB20dmRDiBnec2B06dIhPP/2UixcvAvDLL79YLSghRNk05a/DnLqUiY+rjmkNzqE68geo7UwTEWu0tg5P3AuPQOj2PgC6jR8wp2cl1Cr4JfoCv+29aOPghBDX3HFiN2nSJLp168akSZPYu3cv4eHh1oxLCFHGbDiayLdRZwH4tH8TXOp3My0X1uE18Gtk4+iERbQYDkEdQJ9Fo93vMqpLTQDe/WU/F1OzbRycEALuIrHz8PCgSZMmzJs3j0WLFrFv3z5rxnXX5syZQ1BQEA4ODrRp04YdO3bcsnxqaiovv/wy/v7+6HQ6ateuzZo1a0ooWiHKl+SMXN5YZfpMeLp9EB1re4POBR761NS3TpQPajU88jloneDMZsZ4bKFJoAdpOfmErYzBaJQ+1ULY2h0ndt26dQNMfeZmzJhBnz59rBbU3VqxYgVhYWFMnDiRPXv20KRJE0JDQ0lMTCy0fF5eHt26dePMmTOsWrWKo0ePsmDBAqpUqVLCkQtR9imKwrif93MpPZcQHxfGtXMC4w1znEk/2/LFswY8OAEAzd8T+eIhX5zsNWw7lcLX/56ycXBCiDtO7B5//HHzzyqVitdff90qARXH9OnTGTFiBMOHD6d+/frMmzcPJycnFi5cWGj5hQsXkpKSwurVq7nvvvsICgqiU6dONGnSpIQjF6Ls+3HXedYfSkCrUfH5o8HolvSAbx+B9ARbhyaspfXzUKMLdHmbatWCmfBwfQA+WXeUQxfTbBycEBWb3Z0W7NKlyy1HuCqKgkql4umnn2bo0KEWCe5O5OXlsXv3bsaNG2feplar6dq1K1FRUYUe89tvv9GuXTtefvllfv31V7y9vRk8eDBvvvmmzLsnxF2ITc5i0u+mUZFh3epQb980yIgHe2dwcLNxdMJq1Gp46hdza+zAVoFEHEkk/FACY1dE89uo+3HQymepELZwx4ndhg0brBlHsSUlJWEwGPD19S2w3dfXlyNHjhR6zKlTp/jnn38YMmQIa9as4cSJE7z00kvo9XomTpx4U/nc3Fxyc3PNz9PSTN9I9Xo9er3M4WRJ1+pT6tXyLF23ptUlosnMM9CyugfP+p2EyO9QUGF4eBYKdlBB/h8r/PtWn8UH3XyIjr3MsYQMPvrzEOMfqmuZU1f0urUiqVvrsWWd3nFiV1yKonDo0CHWrFnD4MGDCQgI4JdffuHRRx+19qWLZDQa8fHxYf78+Wg0Glq0aMGFCxf45JNPCk3spkyZwqRJk27avmHDBpycnEoi5ApHRl1bj6Xqdv15FbvPadBpFB5xP0f+z+9gD5z27sr+/Smwv+INRqqI71uPzFO0ODsXoy6Ax6q8wldH7fh2WyxOV05Tz8NygykqYt2WFKlby8vKyrLZte8qsdu+fTtLly5l69atxMXF4eTkRL169ejZsyeDBg3C3d290OMmTZrE22+/zaRJk3jppZcIDw+3WGLn5eWFRqMhIaFgf56EhAT8/PwKPcbf3x+tVlvgtmu9evWIj48nLy8Pe3v7AuXHjRtHWFiY+XlaWhqBgYF06dKFypUrW+R1CBO9Xk94eDjdunVDq5V5zyzJknV78GIa67ZvBxTe79OQxxM+R5OXhOJejcCnFxBo72KZoMuICv2+TTyM3Tcf4pKbwOtdssjyaMB328/x0zlH/ujTHk9n+9uf4xYqdN1amdSt9SQn2265vTtO7B5++GGqVq1K7969eeutt/D29iYnJ4cTJ06wceNGHn/8cf73v//xyCOP3HRspUqVzFOlvPLKKxadKsXe3p4WLVoQERFB3759AVOLXEREBKNGjSr0mPvuu4+lS5diNBpRq03jR44dO4a/v/9NSR2ATqdDp9PdtF2r1covg5VI3VrPvdZtjt7Aaz8dIN+o0LOhHwN8zqNa8w0Aqj5foHWuZKlQy5wK+b6t0hg6vQkbPsBu/TjeHhFF1OnLnEjMYOLvR5j7ZHOLrEBUIeu2hEjdWp4t6/OOR8V+//33zJs3j4ceegh/f3/s7OxwcXGhadOmjBkzhvDwcDp27FjosdaeKiUsLIwFCxawZMkSDh8+zIsvvkhmZibDhw8HYOjQoQUGV7z44oukpKQwZswYjh07xp9//slHH33Eyy+/bNG4hCiPpv51hBOJGXi76vjw0Uao7F3Apz40Hwo1Ots6PGEL9481TUKdfRnHv99k5sCmaDUq1h6M58dd520dnRAVyl1NUFyYZcuW3bKMSqXiscceK/Dc0lOlDBw4kE8//ZQJEybQtGlTYmJiWLt2rXlARWxsLHFxcebygYGBrFu3jp07d9K4cWNGjx7NmDFjeOstmUhViFvZfPwSi7eeAeCTxxubbrMFNIWRkRA6xZahCVvSaKHPl6bl4w79SsPUDYR1qwPAe78f5Gxypo0DFKLiuOPErih79uwx//zmm2/e6+mKbdSoUZw9e5bc3Fy2b99OmzZtzPsiIyNZvHhxgfLt2rVj27Zt5OTkcPLkSd5++22Z6kSIW0jNyuO1H/cC8FTb6nSu5Xl9p53OtNKEqLj8G8P9r5h+XvMaI1t60DrYk6w8A2NXxJBvMN76eCGERdzzqFi9Xs/u3btp0aIFly9fLrJcUfPgXZv/zlbz4Akhbk9RFN755QAJabnU8Hbm7e7BsKAz1O8D9401tdgI0fF1OPwHeASiUfKZMbApPWZuIjo2lTkbTjKma4itIxSi3LvjxG7KlCkF+qld88knnzBnzhzmzp1Lr169ijy+tM6DJ4S4vdUxF/hzfxx2ahUzBzbFMeoziN9vWl2i5bPg5Hn7k4jyz04HT/9pej+oVFQBPujbkDHLY/j8n+N0qO1F82oVd3CNECXhjm/Frlq1CoD777+/wHatVsvYsWP5+uuv6dev310HsHTpUvPPX3zxxV0fL4Swrgup2UxYbVpdYvSDITRWn4F/Z5p2PjxdkjpRkHPlAusD92nsxyNNAq5OaB1DZm6+DYMTovy748SuZcuW9OzZk9jYWH7++WeOHTuGolhm8skRI0YwbNgw6tSpY5HzCSEsw2hUeHVlDOm5+TSr5sFLHQLh15dBMUCDR6Feb1uHKEqr7Muw+iX4fQyT+zQkwN2Bs8lZTP7jkK0jE6Jcu+PE7quvvuLjjz/GaDQSFRXF6NGjqVWrFi1btuTpp58udgB6vR6VSoXBYMDBwaHY5xFCWN7X/55i26kUnOw1zBjQFLuozyHhADh6Qs9PbB2eKM0uHYWYpRD9He4XN/HZgKaoVLB85znWHYy3dXRClFt3NXiicePGhIeHU69ePfO25ORk9u/fX+wAHBwcmD9/PoqiMHPmzCLnwhNClKzDcWl8uu4YAOMfrk+Q4SxsnGba2esTcPG2YXSi1KvWFto8D9vnwe9jaPdSFCM71uCrjad466d9NAv0wMdNvswLYWl3Pd3JjUkdQOXKlencuXOxA2jWrBlTp05l4sSJtxxVK4QoOdl5BkYviybPYKRrPR+eaBVoaqlTqaFOL2j42O1PIsSDE8CjOlw5B+ETCetWm/r+blzO0vP6qn0W684jhLjunuexu1dTpkwhPj6e3r17k5OTY+twhBDAh2sOcfzq6hIfP9bYNFVR4wHw4hZ4aHqBzvFCFMneGR65Oihu1zfozm1l1hNN0dmp2XjsEt9GnbVtfEKUQ8VO7OLjLdNHwt/fH61WS40aNdDr9RY5pxCi+NYdjOf7bbEAfNa/CZVdblgn2SsE3PxtFJkok2p0gham5R35bRQhldSM61kXgI/WHOZ4QroNgxOi/Cl2Yte9e3eLBDB48GBGjhzJe++9d9NUKkKIkhV/JYc3f9oHwMiONehYyxN+eRHO7bBxZKJM6/Y+uFWFvCxIPsGw9kF0rO1Nbr6RMctjyMuXVSmEsJRiJ3aW6hvRsGFDQkJCmDlzJo8++qhFzimEuHvX5hlLzdLTsIobr3WvA1u/gL1L4YfHISfN1iGKssrBDZ74AV7eDv5NUKlUfPp4Yyo5aTkUl8Zn4UdtHaEQ5UaxlxQrbHmw4njxxRfJyspCrVajUqlYuHChRc4rhLg7X206SdSpZBy1Gj5/ohn2yYdhw4emnaEfmf44C1FcAU0LPPVxc2BKv8a88P1u5m86RefaPrSrWdk2sQlRjtzzWrH3ysPDg7lz59o6DCEqtJhzqUxfb5raZNIjDahRyR6+fgEMeVC7BzQdYuMIRbmhKHDgJ0g9S48OrzKwZSArdp3j1ZUx/DW2I+6Osu6wEPfC5omdu7s7ffv2xc3N1Brw7bff2jgiISqWjNx8Ri+LJt+o8FBjf/q3rAobPoL4feBYCXp/LqNgheWc3wk/PWuaOqdGZyb0bsK208mcTc5iwq8HmPVEM1tHKESZVuw+dhqNxiIBnDhxglWrVvHtt99KUieEDUxYfYDYlCyqeDjy//buPC6qen3g+OfMyiYgoICKK+6oqKRiZpq4ZYt185aZa1lWlv0sK1s0695cs7pmWZZZ18x2bTENt9zIFdx3wR2UHdlmmPn+/hgdJdGLyjiAz/v1mhfMOd9zznOeGYZnzvL9vn1fC7STW2HNO46ZfaZDlWD3Bigql7B2EPEAKDssfBpvXRHvPhiJXqexKOEkixJOuDtCISq0ay7s4uPjyyQApRS//vorK1asYMWKFWWyTiFE6fwUf5wf40+g0+D9hyIdp8G2LXCMBRvxD4i4390hisqo9xTwrgZn9sCKt2hTuyrP3BEOwGs/7eRYep6bAxSi4ip1YTdx4sTr2pDdXvLt7J07dyYrK4tjx45x/Pjx69qGEKL0Dp4+y6s/7QTg2W4Niaob4JjRewrcOxPunObG6ESl5h14oePiuJmQuIaRXcNpU9ufnMIiRs7fKl2gCHGNSl3Yff/99wDX3NfcCy+8wAsvvOB8PmzYMN544w38/f35xz/+weDBgxk0aNA1rVsIcXXyLTae/moreRYb0fUDeeaOhhdmahq0fgS8AtwXoKj8GveGNoMBBQufxGDN4T/9W+PnaWTb8Swm/r7H3REKUSGVurCLioqid+/eHD16lB9//JH9+/dfVV92sbGx/Pvf/3Y+/+uvvwgMDGTevHm8/fbbVxe1EOK6vPHzLval5BDkY+b9/pHorWchdpz0VSdurJ5vQ9W6jrFkD8RSq6oX7/RrBcDn65JYsrNsRjgS4mZS6sLu448/ZvLkydjtduLi4nj22WcJDw8nKiqKIUOG/M/lzWYzZvOFoYlatmzJM888w9dff82qVauuJXYhxDVYmHCSbzYfQ9PgPw9FUr2KByx9Fda9D18/5O7wxM3E7AP/+AwGLYIWDwAQ0yyY4bfVA2DM99s4liHX2wlxNa7q5omWLVsSGxvL1KlTWbJkCYcOHWLp0qWlLuxSUlKczxcsWACAwWDAYrFcXdQlmDlzJnXr1sXDw4P27duzcWPphkBasGABmqbRt2/f645BiPIuOQ/G/bwbgFHdGtIxPAj2/AJbvwA06DLWvQGKm0+tKKjfpdikF3s1oXVtf3IKinjum+3I5XZClN5V3xXbtGnTYs8DAwPp0qXL/1xuzJgx3HfffRw7dqzY9NTUVAoLC682jGK++eYbRo8ezfjx49m6dSutWrWiZ8+enD59+orLJSUl8cILL3Dbbbdd1/aFqAjyLTbm7teTb7XTscG56+qyT8LPzzga3DoK6snfgnCjjCRYNgGjTuODh9vg52lk+4lsfj5yzR04CHHTKfVfS/fu3fn00085c+ZMsennT80+9dRTzJ0797LL9+3blxEjRhAVFcV9993H66+/zrhx4+jUqRPPP//8Ne8AwPTp0xk+fDhDhw6lWbNmzJo1Cy8vrysOT2az2RgwYAATJkygfv3617V9Ico7pRRv/LqHU/kaQT4m3nsoEj0KfnoC8jMgNBK6vuruMMXNzJILs7vB2umw4WNq+ns6r7f7M1nH73K9nRClUurCbuHCheTm5nLXXXdRr1492rRpQ9OmTWnQoAEff/wxgwcP/p+nZAcNGsT+/fvp168fSinMZjPz5s0r1ancy7FYLGzZsoWYmBjnNJ1OR0xMDHFxcZdd7s0336R69eo8+uij17xtISqKrzYc5cf4k2gopvdr4biubv1/IHE1GL0c1zkZTO4OU9zMTN7Q5WXH77Gvw6ntxDQL5rFOdQEY+9MuDp7OcV98QlQQpR5SzNPTk1GjRjFq1CgsFgtpaWl4eHhQtWrVq9qgn58fDz/88FUHejmpqanYbDaCg4v3jh8cHMzevXtLXGbt2rV89tlnJCQklGobhYWFxU4XZ2c77hy0Wq1YrdZrC1yU6Hw+Ja9lJ/5YJhN+2QXA3bXtRIX5Ys3PwbBxNhpQ1ONtlF8dkJxfM3nflpHIwegPLEN3YAnq+6EUDVvOs13q8Of2wxzIhse/3Mz3T3SgiofbR8OsFOR96zruzGmp/zrGjBmDpmlMmzYNk8nEq6++Su3atWndujXdunXDx8fnist37doV7QrjTSql0DSNIUOGuLQ/u5ycHAYOHMjs2bMJCgoq1TITJ05kwoQJl0xfuXIlXl5eZR2iwNE9jrh+2RaYtl2P1abRKsDOHTWUM7em2i8Tlr6WQyeqwsnFbo60cpD37fUzetxNV+MGPNMOcvKzgSTUeYzBjWDado3DqXkM/nAZwxrb0cnwxWVG3rdlLy/PfXdza6qUndG1bNmSTZs2ObssadasGU8++SSrV6+mYcOGl+2LTq/XY7PZyi7iv7FYLHh5efH9998Xu7N18ODBZGZmsmjRomLtExISaN26dbGxbs+PiqHT6di3bx8NGjQotkxJR+zCwsI4deoUgYGBLtirm5fVaiU2Npbu3btjNBrdHU6FZrXZGTx3C5uSMqgf5M03j7Zh/eqVklsXkPdt2dKOrEU/7z40FIV3f8SS495Ub9qOQV/EY7Upno8JZ8Ttcm309ZL3reukpaURGhpKVlYWvr6+N3TbpT5id7l+6J588kk6d+7skuBKw2Qy0bZtW5YvX+4s7Ox2O8uXL2fkyJGXtG/SpAk7duwoNu21114jJyeH999/n7CwsEuW+fu+n2c0GuWPwUUkt9dv0tLdbErKwMds4JNBUfj7mKmZ8RemvWcxtBng7vAqJXnflpHwrtD5BVg9FeP2r6DqcKLqBTHhnghe+WkH7y4/SKvaAXRuVM3dkVYK8r4te+7MZ6kLO5PJREpKivNatrLuh+56jB49msGDBxMVFUW7du147733yM3NZejQoYDjpo2aNWsyceJEPDw8iIiIKLa8v78/wCXThaioft52ks/WJgIwrV8rwqv7YD21i8ijn2FIKgQvf2jSx71BCnElt78MXoHYWg2EP5YD0L9dGNuOZfLN5mM8uyCeX0Z2IixALocR4mKlvivWlf3QXa8HH3yQadOmMW7cOCIjI0lISGDJkiXOIvTo0aOcOnXKrTEKcaPsOJ7Fi99vA+DJLg3oFRECllwMPw7DYC/EXrczNOrl5iiF+B/0BujwJBgunC3RNI0J9zanZS0/MvOsDP9yM7mFRW4MUojyp9RH7Pr27Ut2djZRUVF07NiRiIgINE3j22+/5eWXX3ZljKUycuTIEk+9Av9zyLIr9b8nREWSkl3AY19uosBq5/ZG1XihR2PHjMVj0M7spcDgh/7eWeh0+iuvSIhyRFM2dCvfglpReDS7h48eacu9H6xjb3IOz32TwMePtEUnd1MIAVzlyBOu6IdOCFE2Cqw2Hv9yMynZhYRX92HGw63R6zSInwcJX6E0HZvrPgU+1d0dqhBXpU7qKvTr34dFT0PaIWr6e/LxwLaY9Dpid6cw9Y997g5RiHLjqjsDKut+6IQQ108pxZjvt7PteBb+XkY+GxyFr4cRUnbDby8AYO/8MmnZTdwcqRBX70jQ7bTQ9qE79hd8MxAeW0bbOlWZ/EAL/u+bbXy06hANq/twf5ta7g5VCLcrdWFXXvqhE0JcasaKg/yy7SQGncZHA9pSJ9DbMSNxNRTlQ4Nu2G99Dn5f4tY4hbgWSjNgu282us+6weld8Nto6PsR97WuxYGUs3y46hAv/7CDOoHetK1zdZ3mC1HZlLqwW7ly5TVtoJTd5AkhrtHvO04xPXY/AG/1jSC6wUV9K3YYAYHhUCMSNBlIXVRgVULhgTnw5T2w7WsIaw9RQ3mhR2MOnj7LH7tTeOK/m1k0shM1/T3dHa0QbuPyT/rznf8KIcpe/NEM/u/bBACG3lqX/u1qO2bYL+oUvGEMeJdulBUhyrV6t0G3cY7ff38RTmxFp9N498FImob6knrWwqNzN5FdIENkiZuXfIUXooI6fOYsj36xmQKrnS6Nq/HqnU0dM/b8CrPvgMyj7g1QCFe49Tlo3Ad0BjibAoC32cCng6OoVsXM3uQcnvhyC4VFrhvxSIjyTAo7ISqgMzmFDP58I+m5FlrW8mPmw20w6HVwei/89AScSoDNn7s7TCHKnqbBfR/Bo39A497OyTX9PZk79BZ8zAbiDqfxwnfbsdvlUiBx85HCTogKJrewiGFzN3EsPZ/aAV7MGXIL3mYD5GfAgv5gOQt1b4Our7g7VCFcw8MPQlpceJ6bBkrRvIYfHz3SBoNO45dtJ5m0ZK/7YhTCTaSwE6ICsdrsPPXVVnacyCLA28QXw9oR5GN2XFP3w2OQfhj8akO/uaCXsR/FTeD4ZvgoGta9D8BtDasx5YGWAHyy+rBzaD0hbhZS2AlRQSilGPvjDv7cfwZPo545Q26hXtC5bk2WvgIHl4HBEx6aJzdLiJvHyXjHtXbL3oB9vwNwf5tavNTL0Wfjv37bza/bT7oxQCFuLCnshKgAlFK8vXgP3285jk6DDx5uTWSYv2Pm5jmwYZbj974fQmgrt8UpxA13y2MQNQxQjqPWKbsBGHF7fQZF10EpGP3NNlbtO+3eOIW4QaSwE6ICeHfZAWavcZxSmnh/C7o1Db4ws2FPCI6AmAkQcb+bIhTCTTQNek9xXFdqOQvz/wnZp9A0jfF3N6dPi1AsNjtP/HcLcYfS3B2tEC4nhZ0Q5dxHqw7xn+UHAHjj7mY8eEvt4g38asJjy+DWUW6ITohyQG+Ef34JAQ0g6xh89QAUZKE/18fdHU2qU1hk59EvNrHlSIa7oxXCpaSwE6Icm7sukcnn7ux7qVcThtxazzEj/TDsXnShodHTceRCiJuVVwAM/BG8q0PKTlg5EQCTQceHA9rQKTyIPIuNIZ9vZOeJLDcHK4TrSGEnRDn1zaajvPGL43qhZ+8I58kuDRwz8tLhq37w7SBI+NqNEQpRzlStC498D83vh26vOyd7GPV8Mqgtt9StSk5BEQM/28D+lBz3xSmEC0lhJ0Q59OPW47z84w4Aht9Wj//r3sgxo/Cso6hLOwh+YdCgqxujFKIcCm0F/T4Hk3exyV4mA3OG3EKrWn5k5FkZ8OkGDp6W4k5UPlLYCVHOzN9wlOe/24ZS8EiH2rxyZ1M0TQNrASx4GE5sBs+qMOA7qBLi7nCFKL+UglWTYN1/AKjiYeSLYe1oElKFMzmFPPjxX+w+me3mIIUoW1LYCVGOfLY2kVd+2oFSMKRjXd68J8JR1NmK4IdHIfFPMPnAgB+gelN3hytE+XZoBayaCLGvO4fY8/cy8fXwDkTU9CUt18JDn8SRcCzTvXEKUYaksBOinPhgxQHe+vV8H1wNGH93M3Q6Dex2+Hkk7P0V9GZ4aD7UauvmaIWoAMK7wa3POX7/9f+c16RW9Tbx1WMdaFPbn+yCIh75dAMbE9PdF6cQZUgKOyHcTCnFlCV7mfbHfgBGd2/ES70aO47UgeNuV79aoOkd1w7Vv92N0QpRwcS8Ae1HAAoWPQU7fwDAz9PIfx9tT3T9QM4WFjFozgbWHDjj1lCFKAuVprCbOXMmdevWxcPDg/bt27Nx48bLtp09eza33XYbVatWpWrVqsTExFyxvRCuYrMr3vh5Fx+uOgTAa32a8my3hheKOnAUdl1fhRFroEkfN0UqRAWladBrErQZDMoOPwx3dhXkbTbw+dBb6Nq4GgVWO4/O3cySnafcHLAQ16dSFHbffPMNo0ePZvz48WzdupVWrVrRs2dPTp8ueQiZVatW0b9/f1auXElcXBxhYWH06NGDEydO3ODIxc2swGpj5PytfBF3BIC3+kbw2G31HTPtdoj7ECx5jueaBsHN3RSpEBWcpsFd70Gr/qBs8P2jkHkUcHSF8vHAKHo1D8Fis/PkV1v5bG2ie+MV4jpUisJu+vTpDB8+nKFDh9KsWTNmzZqFl5cXc+bMKbH9V199xVNPPUVkZCRNmjTh008/xW63s3z58hscubhZZeZZGPjZBn7fmYxJr2NG/9YM7FDHMdNW5DhltHQsfDPAcWefEOL66HRw70yIfAT6vAP+F0ZwMRl0zBzQhoEdHGPLvvXrbib8sgubXf72RMVT4Qs7i8XCli1biImJcU7T6XTExMQQFxdXqnXk5eVhtVoJCAhwVZhCOB1Ny+OBWXFsSsqgioeBL4a14+5WNRwzrQXw3WDY9rXjmrrIATKihBBlRaeHez+AtoMvTDt3VFyv03jz3uaM7d0EgM/XJfHUV1vIt9jcEakQ18zg7gCuV2pqKjabjeDg4GLTg4OD2bt3b6nW8dJLL1GjRo1ixeHFCgsLKSwsdD7Pznb0e2S1WrFardcYuSjJ+XxW1rxuSEznmQXbyMizEuxrZs6gNjQKruLYX8tZ9N8NQpe0GqU3Y7v/U1Sj3lBGuajsuXUnya3ruDS3eWkYvuyDvfkD2Ds9D5rGsI61Ca5iYswPO1i6K4WHPonj4wGRBPqYy377bibvW9dxZ04rfGF3vSZNmsSCBQtYtWoVHh4eJbaZOHEiEyZMuGT6ypUr8fLycnWIN6XY2Fh3h1Dm4lI0vk3UYVcaYd6Kx8JzObhlDQcBkzWbDoenUzXvMEU6Mxvq/R+pBxUcXFzmcVTG3JYXklvXcUVu66SuJDLtIPrVkzi6exPbaw0ETYcGPNkEPt2rZ9vxLO58bxWPNrZRy/t/rrJCkvdt2cvLy3Pbtit8YRcUFIReryclJaXY9JSUFEJCrtwr/7Rp05g0aRLLli2jZcuWl203duxYRo8e7XyenZ1NWFgYXbt2JTAw8Pp2QBRjtVqJjY2le/fuGI1Gd4dTJixFdiYv3c+Cw46Lte+MCGbSfRF4mvSOBkqh/+/d6PIOozz84aFvaFez7Pupq4y5LS8kt67j2tzeiW1TI3R/vEK91OXUCfLGdu+HYHB8yb/zTC5PzIvnSHoeM/aYeLtvc+5uGVrGMbiPvG9dJy0tzW3brvCFnclkom3btixfvpy+ffsCOG+EGDly5GWXmzJlCv/+979ZunQpUVFRV9yG2WzGbL70MLzRaJQ/BhepLLlNzirg6flb2XIkA4D/i2nEs93Ci3dnAtB7Mix6Gq3fXAxBDV0aU2XJbXkkuXUdl+W241PgGwI/PYFu78/ozibDQ1+BT3Wa1PDn55GdeHZBPH/uP8Po73awJ/ksL/ZqglFf4S9Rd5L3bdlzZz4rxTtz9OjRzJ49my+++II9e/bw5JNPkpuby9ChQwEYNGgQY8eOdbafPHkyr7/+OnPmzKFu3bokJyeTnJzM2bNn3bULohJafyiVu2asYcsRx00SswdFMSrmoj7qMo5caFwjEp5YAy4u6oQQJYi4Hx75ATz84PhGmH0HnHF0GO7nZWTOkFt4sksDAGavSaT/J39xMjPfnRELcVmVorB78MEHmTZtGuPGjSMyMpKEhASWLFnivKHi6NGjnDp1odPJjz76CIvFwgMPPEBoaKjzMW3aNHftgqhEimx2psfu55FPN5B61kKTkCr8MrIT3Zudu8HHVgRLX4UPboHjWy4sqKsUf45CVEz1OsNjKyCgAWg68LpwmY1ep/FSryZ8NKANVcwGNh/JoM9/1rByb8l9pQrhThX+VOx5I0eOvOyp11WrVhV7npSU5PqAxE3peEYezy1IYPO5U68PtK3FW/dedD1dXjp8NwQS/3Q8Pxon474KUV4EhcNjyyA/A7zPFXZKOR46Hb1bhNKshi9Pz9/KzhPZDJ27iUc71WNMz8Z4GPXujV2Ic+QQgRBlQCnFooQT9H5/DZuPZOBjNvD+Q5FM69fqQlF3bBN8fLujqDN6wz+/hI6Xvw5UCOEGXgEQ2ODC8y2fw7z7IDcVgDqB3vzwZEcGRzs6FP9sbSL3fLCWXSez3BGtEJeQwk6I63Qmp5AR87YwakECOQVFRIb5s/jZ27g3sqajgd0O696Hz3tB1lGoWs9xVKDZve4NXAhxZQXZsGwCHF4FH3eGI+sBMBv0TLg3gs8GRxHkY2J/yln6zlzHh6sOUmSzuzdmcdOTwk6Ia6SU4udtJ+nx7p8s3ZWCQafxfzGN+G5ENLUDL+rfcM8iiB0H9iJofh888ScEN3Nf4EKI0vHwhWFLIDAcsk/A3D6w/C2wOTqf7dY0mKXPdaZHs2CsNsWUJfu4d+Y6dp6Qo3fCfaSwE+IaHEnLZfDnm3j263gy8qw0C/Xl55GdGBXT8NJuEJreC03vcQxC/sDnjjvvhBAVQ/Wm8Pgqx/B+yg5rpsFnPSDtEACBPmY+HtiWaf1a4edpZNfJbO6duY5Jv++V4ciEW0hhJ8RVKCyyMWP5AXq8u5rV+89g0usY3b0Ri0beSrMavo5Geenw+8tQmON4rtM5rqeLGirjvgpREZmrQN8Pod9cxxezk1vhk65Q4Dgyp2kaD7StRezozvRpEYrNrpj15yFipv/Jr9tPopRyb/ziplJp7ooVwpWUUvy6/RRTlu7lWLqj/6pO4UG81TeCekHe5xvBzh9gyVjIPQ1FBXD3e455UtAJUfE1vw9q3QKLnoawDpccfa9exYOZA9pw765k3vh5Fycy8xk5P57/1jvC+LubX/jyJ4QLSWEnxP+wOSmdf/22h4RjmQBUr2Lm1T5NuadVjQudDacdgt+eh8MrHc+DGkHrR9wTsBDCdfxqwcCFYL/oNOuxTY5raTu/CB6+9Ggewm0Nq/HJ6sN89OdBNiSmc9eMNTzUrjbPd29EoM+lIxkJUVaksBPiMg6fOcvUpfv4fWcyAF4mPU90bsDwzvXwMp370ynIhrXTIe5DsBWC3gydx8Ctz4JBPryFqJQ0DfTnPgPsdvh9DJyMh+3fQve3oOU/8TTpGRXTkAeiajFx8R5+3X6K+RuOsjD+BENvrcvw2+rj72Vy736ISkkKOyH+5kBKDh+sPMgv205iV6DT4MFbwvi/mEZU9/Uo3njVRPjrQ8fv9btCn3eK94ElhKjcdDro8goseQnSD8NPj8PGT6D7BKjbiZr+nnzwcBsGRafzr992s/14FjNXHuKL9UcY1qkej3aqh5+njNMqyo4UdkKcs+tkFh+sOMiSXcmcv9a5W5PqvNirCY1Dqjgm2G2OC6a9AhzPb33O0bfV7S9B495yLZ0QN6NGPaD+7RA3E1ZPgxObHV2jhMdAzAQIiaBdvQAWPX0rsbtTeHfZAfacyuY/yw/w+bpEht1aj0HRdeQUrSgTUtiJm5rdrlhzMJW56xJZue+Mc3rviBCe7hpORM1zF0fbbbDnZ1g12XGNzSPfO6ZXCXZ0hSAFnRA3N4MZbhsNkQ/Dn1Ng6xdwcBm0+CeERACOu2d7NA8hpmkwS3cl8+6y/exPOcv7yw/w0Z+HuL91TYZ1qkej4Cpu3hlRkUlhJ25K2QVWvt98nP/+dYTE1FzAccr17lY1eLpr+IUPVms+JMx3fBNPd/RbRc5JyElxFHUgRZ0Q4oIqIXDXdIh+GrbMhRb9Lszb8wuYfdHV60zvFqH0bB7C4p2nmL36MNuOZ7Fg0zEWbDrGbQ2DGNapHp0bVkOvk88XcXWksBM3DaUUW49m8sPW4yyMP0Heuc5Dq5gN9IsKY1B0Heqe77ok64TjQ3nzHMhzjBGJhz+0HwEdngRPf3fsghCioghsAD3euvDcWgC/vQBnk6F6M2j/BLoW/+SuljXo0yKULUcy+HRNIn/sTmbNgVTWHEilpr8n/2hbi35taxEW4HX5bQlxESnsRKV3NC2Pn+JP8FP8cZLS8pzTGwX7MCi6Lve1rom3+W9/CklrYfUUx+9+tR3fvls/AmafGxi5EKLSKMqHpndBwtdwejf8Mgpix0OLB9AiHyaqThui6gZwLD2Pz9cl8cPW45zIzOc/yw/wn+UH6NggkH5RtejeLASfv39eCXEReXeISulYeh5/7E7h9x2n2Hwkwznd06inV0QI/aJqEV0/EA3g+GbY8Z1jPMj2jzsaNrsXdi+CFg84hgPTy5+KEOI6eFZ13DV/x+sQPw82fgyZR2HTp45Hl1egy0uEBXgx7u5mvNirMX/sTuG7zcdYezCV9YfSWH8oDbNhB50bVePOFiF0axqMr4fcUSuKk/9WolJQSrHrZDZ/7E7hj13J7E3Occ7TNLi1QRD3t6lJz+YheBt1cCoeVnwIO76HzCOOhkGNoN1wxwJGD+g/3017I4SotDz9oeNIxyUdiX86ruHd84vjztrzjm7A4/hG7mnSh3tatedEZj4/bDnOT/EnSEzNJXZ3CrG7UzDpdXRqGES3ptXp3LCanK4VgBR2ogI7mZnP2oOprDuYyrqDaaSeLXTO02nQrl4A3ZuF0KdFKCF+5/qfW/qqoxPR3NMXVmT0dpwiufgiZyGEcCWdHhrc4XgUZDvGoz0vYR5s/RL+eA2qN6Nmkz482zCGZ26PZu+ZQn7fcYrfdpzi0JlcVuw9zYq9js+z+tW86dywGrc3rkb7egEXOlIXNxV51UWFYLcrDqfmsvVoBvFHM9hwOJ3D5+5mPc/TqKdzoyB6NAuhW10z/mlb4dgyqPLKhUZ5aY6izlQFGnRxjP3YqDeY5JuuEMJNPP42hmztaMhIgqR1juvxTu+G1VPRjF40rR1N04fmM7pHYw6k5LBkZzJ/7j9D/LFMDp/J5fCZXOauT8Kg02he049b6lQlqm4At9StKv3k3SSksBPljlJwIjOf/afT2H0qm4RjmcQfzSQr31qsnU6DVmH+3F6/CncEpNGURIynl8LGTfDLTuBcL8PN7oXQlo7fOzwJrR6C2h3BIMP5CCHKociHHY+8dDgQC/t/h8TVji+mmUcdl4oADYOr0HDLWzxT30he+1ZsLKzL0pNmVh9I40RmPtuOZbLtWCafrk0EoF6QNxE1/Yio4UuLmn40ri5faCsjKeyE29jtiuTsAhJTczl85iyHzuSy+2QWO47pyf9rzSXtvQ12uofk06lqOkFNbqVN8yaOC4fXvAOL37x0AwENoE7H4mO2hrZy4R4JIUQZ8gqAVg86Hna748hdXtqF+Xab40YMay5eQBegi4c/VGvC2fBw9poi+NHWic1J6exPOUtiai6Jqbn8su2kcxWBZj0/pW2lUYgv4dV8aFDdh/DqPjLMWQVWaQq7mTNnMnXqVJKTk2nVqhUzZsygXbt2l23/3Xff8frrr5OUlETDhg2ZPHkyd9555w2M+OaQU2DlVFYBJzLzOZVZwInMPJJS8zicmktSai75VlsJS2k01p/k4SoJNPLIpLY+jcCiFMw5R9FSiyAViJwLHi0czUNbgWeA42doK6jR2nEq43wHwkIIUdHpdM4RLJzsNugzDU5shRNbIGUnFGTCsb/wOfYXUY16E/XwkwBknC1EP6cb6fiRaAtiZ64/O/OqctxSjV37s1i93xc7Oueqq1UxUz/Im7AAL2r6e1Krqic1q3oSVtWLED8PjHodonyqFIXdN998w+jRo5k1axbt27fnvffeo2fPnuzbt4/q1atf0n79+vX079+fiRMnctdddzF//nz69u3L1q1biYiIKGEL4mIFVhvpuRbSzlpIzS0k7ayFtLOFpOdaSD1rITWngKzsTHKy0kkuMJKLJwA1OUMX/TbqkcMtWhZBWjZBpmxCDDkEksWyus9jadKXtIPbGBZRDY8f50HB3zZu9IaghqC76K1b/w548bCMACGEuLkYTBdO2wIUFULqfji9F87sgaDGzqZVtRxI34EvUBfoCnDR1Si7/bvwts8rHDx9luTsfF7In0HGsSpkHfUmFS8OKW+y8CZbeXGaAFSVGlT3NVPNx0y1Khce1auYCfQx4+dpxN/TiK+nEQ+j/sblRFSOwm769OkMHz6coUOHAjBr1ix+++035syZw8svv3xJ+/fff59evXoxZswYAN566y1iY2P54IMPmDVr1g2NvdTsdlB20HSOb24ARRaw5jmmKwXKdu53O9ht2D0DsOg8KLTaKchKwZaWiMVSiMVaiLXQQlFRIVaLlSKrhZNVIkjXVyPPYsOYeYiaqeuxWi3YrAVgzUez5qPZCtAVFfBf6x3Eq4YAROt28arhKzyw4KFZ8KaAKuRh0OwAPK8bwTJzN0L9POhtOsyo03NK2DfHj/vCDVhb12TxqW3og5tC5CPgHwZ+YY7xWQPDwbfGpQWcTr45CiEEBjOEtHA8/s7kA4/86OjeKeMIZB7Bnp6E5cxhzEXZNGvYkHl92gOQk5FClfcHXHYzP9uieTb7GZKzCzBQxAbz0+RjJl+ZycdEPmZOKjMHMbPZ3pj5uj7nCj0TjxUtwGAyYzCa0BlN6A1m9EYzBqOZoio1yQ3tgKdJj7fJQLWMrZiNRgxGAwaDAZPB8bvRYMDo6YshoPaFoM6e6+lAZzj3f1IPmt7xU2dw/LxJVPjCzmKxsGXLFsaOHeucptPpiImJIS4ursRl4uLiGD16dLFpPXv2ZOHChVe17eRZ95Bn1qEpOxqOgkqn7ICdr+u+TZqpBnYFHVO/JTr1RzRlQ0M5f+rO/fyg5lSOmRugFNyR8S33pH+ODjuasqNDoTtf+QBj/SazTdecIrudu/N/4RnL7MvGN9TyEn/aHdeUPahfyWTj5duOsDzHErvj1PXduvU8afqg5IY6WKs1ZaeuEYHeZhob9UTkJpXYVGl63r6nIe90ONc/U0ogrOgD3oHgXe3Sh1+tCwsH1Ie+My8brxBCiKtg9IDwbsUm2axWli5ezJ29emDUlHN6FU8P6DYOclOhIAvyMx0/CzJRBZnEhLdiUeStnMkpJDPjDIGxOUAOlHDSpAg9c6x2CqyFnMnOp5/HV5B7aTuAZbbWPGf1cD7fZx6MWbOW2Ha9rRmPFL2GyaDDpNexhmH4cbbEtvsMjXkl8D30moZepzH99DCq2tKwo8Ou6VHoUJrjv22KuS6f1HsXnQYaGo8l/R9VLckoTUOhA03Djh40HVmmYBaET0GnaWjA3Un/IqDgGErTkV1Q0mVGN0aFL+xSU1Ox2WwEBxe/nio4OJi9e/eWuExycnKJ7ZOTk0tsX1hYSGHhhT7SsrOzAQg7uwNfa8mn/35PSOKAKnKs23Ccuw3HL7sPfx04xTblGKM0TJ+F2Vh42baJZ3LYbXds/7TeCn+7vrVI6bA7ykZHsXlOLt4cV9WwaQbsmgGbZkBpBuw6x8/wkFrc7RuCp1FPk6IW7EuNQW80ojN4oDN5YjB7YTB7YfTw4vWGPZgU1gJN0yC3KUWnmjk+NAxeKJMXmP0ct+8bvdBpGlbruT/MgEbwwBeX3TfA2da5jCgzklvXkdy6juTWdZy5tSkwGuF8jvVe0OHZyy5nBJoBhHiD3RdrvbVo1jzHGSRrvvOnKsyli3ctVoR2IiuviKzcPBI3PYTVWoi9yIIqsoDNAjYr2Czkm5rS0TuAPIuNfIuNk9khGJUFDTs6ZUOHHf25Rw5e2BUUWO0UWO0osyqxsATIsSi2XDQCkc6ci4d27jofVbztibM+fL/lwv/rEaZjBOlSSlxvfm42n69Lcj6/37STMJ2jw/vsQlXiMjeCppRy39bLwMmTJ6lZsybr168nOjraOf3FF1/kzz//ZMOGDZcsYzKZ+OKLL+jfv79z2ocffsiECRNISbn0BXzjjTeYMGHCJdOnvDkGTw8PZyWvNA3OHWM7bGqIRTOj0yDAloq/Pd1xePjidpoGaKQbqlOkM6MBnioXL3seCu3cKUYdmqah0xzfFGwGDzSdAb0GBoowaAqd5mij12noNdDrcPw89zDpHNOEEEKIikopsCsoUlBkL+GnXWGzK1B2lHKcHbPb7Sg08jQvFI7lfaxp6ChyXuKklMJRCtmxYCRZXwN1bnth1iQMWNDOzUfhOIumFFbNyH5jE1CO+rCxdTde9lxAUVCQz5hx75CVlYWvr++VdqvMVfgjdkFBQej1+ksKspSUFEJCQkpcJiQk5Krajx07ttip2+zsbMLCwhg4fDSBgYHXuQfiYlarldjYWLp3747RKLfblyXJretIbl1Hcus6ktuy1sv5W1paGmPGveOWKCp8YWcymWjbti3Lly+nb9++ANjtdpYvX87IkSNLXCY6Oprly5fz3HPPOafFxsYWO+J3MbPZjNl8aY/dRqNR/hhcRHLrOpJb15Hcuo7k1nUkt2XPnfms8IUdwOjRoxk8eDBRUVG0a9eO9957j9zcXOddsoMGDaJmzZpMnDgRgFGjRnH77bfzzjvv0KdPHxYsWMDmzZv55JNP3LkbQgghhBDXpVIUdg8++CBnzpxh3LhxJCcnExkZyZIlS5w3SBw9ehTdRV1idOzYkfnz5/Paa6/xyiuv0LBhQxYuXCh92AkhhBCiQqsUhR3AyJEjL3vqddWqVZdM69evH/369XNxVEIIIYQQN06lKexupPM3Eufk5Mh1CWXMarWSl5dHdna25LaMSW5dR3LrOpJb15Hcuk5OTg5woV64kaSwuwZpaY5BmOvVq+fmSIQQQghRXqWlpeHn53dDtymF3TUICAgAHNfu3egXrLI735XMsWPHbnjfP5Wd5NZ1JLeuI7l1Hcmt62RlZVG7dm1nvXAjSWF3Dc7fiOHn5yd/DC7i6+sruXURya3rSG5dR3LrOpJb19G5YSxzGY9ACCGEEKKSkMJOCCGEEKKSkMLuGpjNZsaPH1/iaBTi+khuXUdy6zqSW9eR3LqO5NZ13JlbTbnjXlwhhBBCCFHm5IidEEIIIUQlIYWdEEIIIUQlIYWdEEIIIUQlIYWdEEIIIUQlIYUdkJ6ezoABA/D19cXf359HH32Us2fPXnGZgoICnn76aQIDA/Hx8eEf//gHKSkpxdo8++yztG3bFrPZTGRk5CXrSEpKQtO0Sx5//fVXWe6eW7krtwDbt2/ntttuw8PDg7CwMKZMmVJWu1UuuCq3R48epU+fPnh5eVG9enXGjBlDUVGRc/6qVatKfN8mJye7ZD9vlJkzZ1K3bl08PDxo3749GzduvGL77777jiZNmuDh4UGLFi1YvHhxsflKKcaNG0doaCienp7ExMRw4MCBYm2u5TWsiNyR27p1617yHp00aVKZ75s7lXVef/zxR3r06EFgYCCappGQkHDJOkrzGVIZuCO3Xbp0ueQ9O2LEiKsPXgnVq1cv1apVK/XXX3+pNWvWqPDwcNW/f/8rLjNixAgVFhamli9frjZv3qw6dOigOnbsWKzNM888oz744AM1cOBA1apVq0vWkZiYqAC1bNkyderUKefDYrGU5e65lbtym5WVpYKDg9WAAQPUzp071ddff608PT3Vxx9/XJa751auyG1RUZGKiIhQMTExKj4+Xi1evFgFBQWpsWPHOtusXLlSAWrfvn3F3rc2m81l++pqCxYsUCaTSc2ZM0ft2rVLDR8+XPn7+6uUlJQS269bt07p9Xo1ZcoUtXv3bvXaa68po9GoduzY4WwzadIk5efnpxYuXKi2bdum7rnnHlWvXj2Vn5/vbHMtr2FF467c1qlTR7355pvF3qNnz551+f7eKK7I65dffqkmTJigZs+erQAVHx9/yXpK8/lc0bkrt7fffrsaPnx4sfdsVlbWVcd/0xd2u3fvVoDatGmTc9rvv/+uNE1TJ06cKHGZzMxMZTQa1XfffeectmfPHgWouLi4S9qPHz/+ioVdSS9wZeDO3H744YeqatWqqrCw0DntpZdeUo0bN76OPSo/XJXbxYsXK51Op5KTk51tPvroI+Xr6+vM5fnCLiMjwwV75h7t2rVTTz/9tPO5zWZTNWrUUBMnTiyx/T//+U/Vp0+fYtPat2+vnnjiCaWUUna7XYWEhKipU6c652dmZiqz2ay+/vprpdS1vYYVkTtyq5SjsHv33XfLcE/Kl7LO68Uu97/paj+fKyp35FYpR2E3atSo64pdKaVu+lOxcXFx+Pv7ExUV5ZwWExODTqdjw4YNJS6zZcsWrFYrMTExzmlNmjShdu3axMXFXXUM99xzD9WrV6dTp078/PPPV78T5ZQ7cxsXF0fnzp0xmUzOaT179mTfvn1kZGRcw96UL67KbVxcHC1atCA4ONjZpmfPnmRnZ7Nr165i64uMjCQ0NJTu3buzbt26sty9G8pisbBly5ZiedHpdMTExFz2PRcXF1esPTjydL59YmIiycnJxdr4+fnRvn37Yrm+2tewonFXbs+bNGkSgYGBtG7dmqlTpxa7pKAic0VeS6Os//eVR+7K7XlfffUVQUFBREREMHbsWPLy8q56HYarXqKSSU5Opnr16sWmGQwGAgICLnvNUHJyMiaTCX9//2LTg4ODr+o6Ix8fH9555x1uvfVWdDodP/zwA3379mXhwoXcc889V70v5Y07c5ucnEy9evUuWcf5eVWrVi31usojV+U2OTm5WFF3fv75eQChoaHMmjWLqKgoCgsL+fTTT+nSpQsbNmygTZs2ZbF7N1Rqaio2m63E/d67d2+Jy1wuTxfn8fy0K7W52tewonFXbsFxHW6bNm0ICAhg/fr1jB07llOnTjF9+vTr3i93c0VeS6OsPp/LM3flFuDhhx+mTp061KhRg+3bt/PSSy+xb98+fvzxx6taT6Ut7F5++WUmT558xTZ79uy5QdGULCgoiNGjRzuf33LLLZw8eZKpU6eW68KuIuS2oqoIuW3cuDGNGzd2Pu/YsSOHDh3i3Xff5b///a8bIxPigos/W1u2bInJZOKJJ55g4sSJMoSWKJcef/xx5+8tWrQgNDSUbt26cejQIRo0aFDq9VTawu75559nyJAhV2xTv359QkJCOH36dLHpRUVFpKenExISUuJyISEhWCwWMjMzi31zSUlJuewypdW+fXtiY2Ovax2uVhFyGxIScsmdWuefX+9r5Eruzm1ISMgld3+VJm/t2rVj7dq1V4y7vAoKCkKv15f4frlSLq/U/vzPlJQUQkNDi7U5fxf3tbyGFY27cluS9u3bU1RURFJSUrEvJhWRK/JaGq7831deuCu3JWnfvj0ABw8evKrCrtJeY1etWjWaNGlyxYfJZCI6OprMzEy2bNniXHbFihXY7XZnUv+ubdu2GI1Gli9f7py2b98+jh49SnR09HXFnZCQUOzDqjyqCLmNjo5m9erVWK1W57TY2FgaN25crk/Duju30dHR7Nixo1jBERsbi6+vL82aNbts3BXhfXs5JpOJtm3bFsuL3W5n+fLll33PRUdHF2sPjjydb1+vXj1CQkKKtcnOzmbDhg3Fcn21r2FF467cliQhIQGdTnfJ6e+KyBV5LQ1X/u8rL9yV25Kc7xLlqj9br/v2i0qgV69eqnXr1mrDhg1q7dq1qmHDhsW6HDh+/Lhq3Lix2rBhg3PaiBEjVO3atdWKFSvU5s2bVXR0tIqOji623gMHDqj4+Hj1xBNPqEaNGqn4+HgVHx/vvLtw7ty5av78+WrPnj1qz5496t///rfS6XRqzpw5N2bHbwB35TYzM1MFBwergQMHqp07d6oFCxYoLy+vStfdSVnn9nx3Jz169FAJCQlqyZIlqlq1asW6O3n33XfVwoUL1YEDB9SOHTvUqFGjlE6nU8uWLbsxO+4CCxYsUGazWc2dO1ft3r1bPf7448rf3995d/DAgQPVyy+/7Gy/bt06ZTAY1LRp09SePXvU+PHjS+ySw9/fXy1atEht375d3XvvvSV2d3Kl17AycEdu169fr959912VkJCgDh06pObNm6eqVaumBg0adGN33oVckde0tDQVHx+vfvvtNwWoBQsWqPj4eHXq1Clnm9J8Pld07sjtwYMH1Ztvvqk2b96sEhMT1aJFi1T9+vVV586drzp+KeyUI+H9+/dXPj4+ytfXVw0dOlTl5OQ455+/PXnlypXOafn5+eqpp55SVatWVV5eXuq+++4r9uZXynHrMnDJIzExUSnlKOyaNm2qvLy8lK+vr2rXrl2x28grA3flVimltm3bpjp16qTMZrOqWbOmmjRpkqt394ZyVW6TkpJU7969laenpwoKClLPP/+8slqtzvmTJ09WDRo0UB4eHiogIEB16dJFrVixwuX762ozZsxQtWvXViaTSbVr10799ddfznm33367Gjx4cLH23377rWrUqJEymUyqefPm6rfffis23263q9dff10FBwcrs9msunXrpvbt21eszf96DSuLG53bLVu2qPbt2ys/Pz/l4eGhmjZtqt5++21VUFDg0v280co6r59//nmJn6vjx493tinNZ0hlcKNze/ToUdW5c2cVEBCgzGazCg8PV2PGjLmmfuw0pZS65uOEQgghhBCi3Ki019gJIYQQQtxspLATQgghhKgkpLATQgghhKgkpLATQgghhKgkpLATQgghhKgkpLATQgghhKgkpLATQgghhKgkpLATQgghhKgkpLATQgghhKgkpLATQpRrM2bMoE6dOhgMBl544QW3rbNLly4899xzZbL9tLQ0qlevTlJSUpmsr7Qeeugh3nnnnRu6TSHEjSVDigkhyq1t27YRFRXFokWLaN26NX5+fnh5ebllnenp6RiNRqpUqXJd2wcYPXo0OTk5zJ49G03Trth2/PjxJCUlkZmZycKFC4vNW7VqFV27diUjIwN/f///ud2dO3fSuXNnEhMT8fPzu449EEKUV3LETghRbv3666+0a9eOO++8k9DQ0Osu6q5nnQEBAWVS1OXl5fHZZ5/x6KOPAnDq1Cnn47333sPX17fYtLI6SgkQERFBgwYNmDdvXpmtUwhRvkhhJ4Qol8LDw3nttddYv349mqYxaNAgt67z76diu3TpwrPPPsuLL75IQEAAISEhvPHGG/9zPYsXL8ZsNtOhQwcAQkJCnA8/Pz80TSs2zcfHp9QxJiUloWnaJY8uXbo429x9990sWLCg1OsUQlQsUtgJIcql9evXU79+faZOncqpU6f48MMPy906v/jiC7y9vdmwYQNTpkzhzTffJDY29orLrFmzhrZt217Xdi8nLCys2NG++Ph4AgMD6dy5s7NNu3bt2LhxI4WFhS6JQQjhXgZ3ByCEECXx8fEhKSmJTp06ERISUi7X2bJlS8aPHw9Aw4YN+eCDD1i+fDndu3e/7DJHjhyhRo0aV72tX3/99ZKjdzabrdhzvV7v3K+CggL69u1LdHR0sSOJNWrUwGKxkJycTJ06da46DiFE+SZH7IQQ5dL27dsBaNGixSXzXn755RJPOV782Lt371Wt81q0bNmy2PPQ0FBOnz59xWXy8/Px8PC46m117dqVhISEYo9PP/30su2HDRtGTk4O8+fPR6e78FHv6ekJOK71E0JUPnLETghRLiUkJBAeHo63t/cl855//nmGDBlyxeXr169fqnUeOXKEkSNHcvz4caxWK4sXL6Z27dqlitFoNBZ7rmkadrv9issEBQWRkZFRqvVfzNvbm/Dw8GLTjh8/XmLbf/3rXyxdupSNGzdecsNHeno6ANWqVbvqGIQQ5Z8UdkKIcikhIYFWrVqVOK9atWrXVJj8fZ0Wi4U777yTmTNn0qVLFzIyMq7qZoVr0bp1a5felfrDDz/w5ptv8vvvv9OgQYNL5u/cuZNatWoRFBTkshiEEO4jp2KFEOVSQkICkZGRLl3nTz/9RIcOHZx3jVatWvWSo3BlrWfPnuzateuajtr9Lzt37mTQoEG89NJLNG/enOTkZJKTk51H6cBx80aPHj3KfNtCiPJBCjshRLljt9vZsWPHZY/YldU6d+zYQbt27cpsG6XRokUL2rRpw7ffflvm6968eTN5eXn861//IjQ01Pm4//77AccNFQsXLmT48OFlvm0hRPkgI08IIW5aM2bMYP/+/cyYMQObzUZWVhYBAQEu3+5vv/3GmDFj2LlzZ7EbG1zto48+4qeffuKPP/64YdsUQtxYcsROCHHTGjJkCIcOHSIiIoKoqCj2799/Q7bbp08fHn/8cU6cOHFDtnee0WhkxowZN3SbQogbS47YCSGEEEJUEnLETgghhBCikpDCTgghhBCikpDCTgghhBCikpDCTgghhBCikpDCTgghhBCikpDCTgghhBCikpDCTgghhBCikpDCTgghhBCikpDCTgghhBCikpDCTgghhBCikpDCTgghhBCikpDCTgghhBCikvh/MC23jU3VXqEAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(2, 1)\n", "\n", "ax1.plot(t.cpu().numpy().flatten(), np.abs(x.cpu().numpy().flatten())**2, '-')\n", "ax1.plot(t.cpu().numpy().flatten(), np.abs(y.cpu().numpy().flatten())**2, '--')\n", "ax1.set_xlim(-150, 150)\n", "ax1.set_xlabel(r\"$t$ in (ps)\")\n", "ax1.set_ylabel(r\"$|g(t)|^2$ in (W)\")\n", "ax1.grid()\n", "\n", "ax2.plot(\n", " f.cpu().numpy().flatten(),\n", " (X.cpu().numpy().flatten()/np.max(X.cpu().numpy().flatten())),\n", " '-')\n", "ax2.plot(\n", " f.cpu().numpy().flatten(),\n", " (Y.cpu().numpy().flatten()/np.max(Y.cpu().numpy().flatten())),\n", " '--')\n", "ax2.set_xlim(-0.015, 0.015)\n", "ax2.set_xlabel(r\"$f-f_c$ in (THz)\")\n", "ax2.set_ylabel(r\"$\\frac{|G(f-f_c)|^2}{|G_\\mathrm{max}|^2}$\")\n", "ax2.grid()\n", "\n", "ax1.legend(['transmitted', 'received'])\n", "plt.tight_layout()\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-02-13T14:41:51.690334Z", "iopub.status.busy": "2026-02-13T14:41:51.690203Z", "iopub.status.idle": "2026-02-13T14:41:51.830414Z", "shell.execute_reply": "2026-02-13T14:41:51.829616Z" }, "jupyter": { "outputs_hidden": false }, "pycharm": { "name": "#%%\n" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1) = plt.subplots(1, 1, tight_layout=True)\n", "\n", "ax1.plot(t.cpu().numpy().flatten(), np.angle(x.cpu().numpy().flatten()), '-')\n", "ax1.plot(t.cpu().numpy().flatten(), np.angle(y.cpu().numpy().flatten()), '--')\n", "ax1.set_xlim(-500, 500)\n", "ax1.set_xlabel(\"$t$ in (ps)\")\n", "ax1.set_ylabel(\"$\\u2220 x(t), \\u2220 y(t)$\")\n", "ax1.grid()\n", "\n", "ax1.legend(['transmitted', 'received'])\n", "plt.tight_layout()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "The most interesting observation that one can make here is that the\n", "spectrum of the received signal is compressed. This is in contrast\n", "to the expected Kerr nonlinearity-induced spectral broadening, and shows\n", "that joint application of the fiber effects may result in completely\n", "different observations compared to the isolated investigation.\n", "\n", "What we can see here, however, is that the Gaussian input impulse is\n", "transformed to a higher-order Soliton during propagation. Those require\n", "a joint CD and Kerr nonlinearity to exist.\n" ] }, { "cell_type": "markdown", "metadata": { "pycharm": { "name": "#%% md\n" } }, "source": [ "## References\n", "\n", "[1] René-Jean Essiambre, Gerhard Kramer, Peter J. Winzer, Gerard J. Foschini, and Bernhard Goebel.\n", "„Capacity Limits of Optical Fiber Networks“. Journal of Lightwave Technology 28, Nr. 4, pp 662–701, February 2010.\n", "\n", "\n" ] } ], "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": 4 }